Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(3,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(84))
chi = DirichletCharacter(H, H._module([63, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.x (of order \(84\), degree \(24\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(528\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{84})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{84}]$ |
Embedding invariants
Embedding label | 3.12 | ||
Character | \(\chi\) | \(=\) | 430.3 |
Dual form | 430.2.x.a.287.12 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.330279 | + | 0.943883i | 0.233543 | + | 0.667426i | ||||
\(3\) | −1.92406 | − | 2.23579i | −1.11085 | − | 1.29084i | −0.952865 | − | 0.303396i | \(-0.901880\pi\) |
−0.157990 | − | 0.987441i | \(-0.550501\pi\) | |||||||
\(4\) | −0.781831 | + | 0.623490i | −0.390916 | + | 0.311745i | ||||
\(5\) | −2.01247 | − | 0.974668i | −0.900003 | − | 0.435885i | ||||
\(6\) | 1.47485 | − | 2.55452i | 0.602106 | − | 1.04288i | ||||
\(7\) | −0.743303 | + | 2.77404i | −0.280942 | + | 1.04849i | 0.670812 | + | 0.741628i | \(0.265946\pi\) |
−0.951754 | + | 0.306862i | \(0.900721\pi\) | |||||||
\(8\) | −0.846724 | − | 0.532032i | −0.299362 | − | 0.188102i | ||||
\(9\) | −0.849656 | + | 5.63710i | −0.283219 | + | 1.87903i | ||||
\(10\) | 0.255297 | − | 2.22145i | 0.0807319 | − | 0.702483i | ||||
\(11\) | 1.14468 | − | 1.43539i | 0.345135 | − | 0.432786i | −0.578721 | − | 0.815526i | \(-0.696448\pi\) |
0.923856 | + | 0.382740i | \(0.125019\pi\) | |||||||
\(12\) | 2.89828 | + | 0.548385i | 0.836662 | + | 0.158305i | ||||
\(13\) | 4.87313 | + | 0.182340i | 1.35156 | + | 0.0505719i | 0.703326 | − | 0.710867i | \(-0.251697\pi\) |
0.648236 | + | 0.761439i | \(0.275507\pi\) | |||||||
\(14\) | −2.86387 | + | 0.214617i | −0.765402 | + | 0.0573589i | ||||
\(15\) | 1.69294 | + | 6.37478i | 0.437116 | + | 1.64596i | ||||
\(16\) | 0.222521 | − | 0.974928i | 0.0556302 | − | 0.243732i | ||||
\(17\) | −1.87355 | + | 3.54493i | −0.454402 | + | 0.859771i | 0.545365 | + | 0.838199i | \(0.316391\pi\) |
−0.999767 | + | 0.0215723i | \(0.993133\pi\) | |||||||
\(18\) | −5.60139 | + | 1.05984i | −1.32026 | + | 0.249807i | ||||
\(19\) | 3.59719 | − | 0.542190i | 0.825253 | − | 0.124387i | 0.277180 | − | 0.960818i | \(-0.410600\pi\) |
0.548072 | + | 0.836431i | \(0.315362\pi\) | |||||||
\(20\) | 2.18111 | − | 0.492727i | 0.487710 | − | 0.110177i | ||||
\(21\) | 7.63235 | − | 3.67555i | 1.66551 | − | 0.802070i | ||||
\(22\) | 1.73290 | + | 0.606370i | 0.369457 | + | 0.129278i | ||||
\(23\) | −2.16790 | + | 4.96888i | −0.452039 | + | 1.03608i | 0.530102 | + | 0.847934i | \(0.322154\pi\) |
−0.982140 | + | 0.188149i | \(0.939751\pi\) | |||||||
\(24\) | 0.439631 | + | 2.91676i | 0.0897393 | + | 0.595381i | ||||
\(25\) | 3.10005 | + | 3.92297i | 0.620009 | + | 0.784595i | ||||
\(26\) | 1.43738 | + | 4.65989i | 0.281894 | + | 0.913879i | ||||
\(27\) | 6.74542 | − | 4.23843i | 1.29816 | − | 0.815686i | ||||
\(28\) | −1.14845 | − | 2.63228i | −0.217037 | − | 0.497453i | ||||
\(29\) | 0.471753 | + | 6.29511i | 0.0876024 | + | 1.16897i | 0.851756 | + | 0.523939i | \(0.175538\pi\) |
−0.764154 | + | 0.645034i | \(0.776843\pi\) | |||||||
\(30\) | −5.45790 | + | 3.70340i | −0.996472 | + | 0.676145i | ||||
\(31\) | 4.57683 | − | 3.12043i | 0.822023 | − | 0.560446i | −0.0776647 | − | 0.996980i | \(-0.524746\pi\) |
0.899688 | + | 0.436534i | \(0.143794\pi\) | |||||||
\(32\) | 0.993712 | − | 0.111964i | 0.175665 | − | 0.0197927i | ||||
\(33\) | −5.41167 | + | 0.202490i | −0.942051 | + | 0.0352491i | ||||
\(34\) | −3.96479 | − | 0.597596i | −0.679956 | − | 0.102487i | ||||
\(35\) | 4.19964 | − | 4.85820i | 0.709869 | − | 0.821185i | ||||
\(36\) | −2.85039 | − | 4.93701i | −0.475064 | − | 0.822836i | ||||
\(37\) | −2.74180 | + | 0.734664i | −0.450750 | + | 0.120778i | −0.477050 | − | 0.878876i | \(-0.658294\pi\) |
0.0263004 | + | 0.999654i | \(0.491627\pi\) | |||||||
\(38\) | 1.69984 | + | 3.21626i | 0.275751 | + | 0.521746i | ||||
\(39\) | −8.96850 | − | 11.2461i | −1.43611 | − | 1.80082i | ||||
\(40\) | 1.18545 | + | 1.89597i | 0.187436 | + | 0.299779i | ||||
\(41\) | 6.95453 | + | 3.34912i | 1.08611 | + | 0.523045i | 0.889267 | − | 0.457389i | \(-0.151215\pi\) |
0.196848 | + | 0.980434i | \(0.436929\pi\) | |||||||
\(42\) | 5.99009 | + | 5.99009i | 0.924291 | + | 0.924291i | ||||
\(43\) | −5.02098 | + | 4.21779i | −0.765693 | + | 0.643207i | ||||
\(44\) | 1.83593i | 0.276777i | ||||||||
\(45\) | 7.20420 | − | 10.5163i | 1.07394 | − | 1.56768i | ||||
\(46\) | −5.40606 | − | 0.405128i | −0.797080 | − | 0.0597329i | ||||
\(47\) | −11.3246 | − | 1.27597i | −1.65186 | − | 0.186120i | −0.763672 | − | 0.645604i | \(-0.776606\pi\) |
−0.888186 | + | 0.459484i | \(0.848034\pi\) | |||||||
\(48\) | −2.60788 | + | 1.37831i | −0.376415 | + | 0.198941i | ||||
\(49\) | −1.08064 | − | 0.623908i | −0.154377 | − | 0.0891297i | ||||
\(50\) | −2.67895 | + | 4.22176i | −0.378860 | + | 0.597047i | ||||
\(51\) | 11.5305 | − | 2.63177i | 1.61460 | − | 0.368522i | ||||
\(52\) | −3.92365 | + | 2.89579i | −0.544112 | + | 0.401573i | ||||
\(53\) | 0.0890153 | + | 2.37898i | 0.0122272 | + | 0.326778i | 0.991966 | + | 0.126501i | \(0.0403748\pi\) |
−0.979739 | + | 0.200277i | \(0.935816\pi\) | |||||||
\(54\) | 6.22845 | + | 4.96702i | 0.847585 | + | 0.675926i | ||||
\(55\) | −3.70267 | + | 1.77299i | −0.499267 | + | 0.239069i | ||||
\(56\) | 2.10525 | − | 1.95339i | 0.281326 | − | 0.261033i | ||||
\(57\) | −8.13343 | − | 6.99938i | −1.07730 | − | 0.927091i | ||||
\(58\) | −5.78604 | + | 2.52442i | −0.759744 | + | 0.331473i | ||||
\(59\) | 1.58818 | + | 0.362491i | 0.206763 | + | 0.0471924i | 0.324648 | − | 0.945835i | \(-0.394754\pi\) |
−0.117885 | + | 0.993027i | \(0.537611\pi\) | |||||||
\(60\) | −5.29821 | − | 3.92847i | −0.683996 | − | 0.507163i | ||||
\(61\) | −4.82569 | + | 7.07799i | −0.617866 | + | 0.906243i | −0.999839 | − | 0.0179301i | \(-0.994292\pi\) |
0.381973 | + | 0.924174i | \(0.375245\pi\) | |||||||
\(62\) | 4.45695 | + | 3.28938i | 0.566034 | + | 0.417752i | ||||
\(63\) | −15.0060 | − | 6.54705i | −1.89058 | − | 0.824851i | ||||
\(64\) | 0.433884 | + | 0.900969i | 0.0542355 | + | 0.112621i | ||||
\(65\) | −9.62929 | − | 5.11663i | −1.19437 | − | 0.634640i | ||||
\(66\) | −1.97849 | − | 5.04111i | −0.243535 | − | 0.620518i | ||||
\(67\) | 3.47283 | − | 4.70551i | 0.424273 | − | 0.574870i | −0.539368 | − | 0.842070i | \(-0.681337\pi\) |
0.963641 | + | 0.267201i | \(0.0860986\pi\) | |||||||
\(68\) | −0.745426 | − | 3.93967i | −0.0903962 | − | 0.477756i | ||||
\(69\) | 15.2806 | − | 4.71343i | 1.83956 | − | 0.567430i | ||||
\(70\) | 5.97263 | + | 2.35941i | 0.713865 | + | 0.282004i | ||||
\(71\) | −15.6711 | − | 6.15046i | −1.85982 | − | 0.729925i | −0.946538 | − | 0.322593i | \(-0.895446\pi\) |
−0.913280 | − | 0.407332i | \(-0.866459\pi\) | |||||||
\(72\) | 3.71854 | − | 4.32102i | 0.438234 | − | 0.509238i | ||||
\(73\) | 0.0295794 | − | 0.790527i | 0.00346201 | − | 0.0925242i | −0.996498 | − | 0.0836132i | \(-0.973354\pi\) |
0.999960 | − | 0.00891100i | \(-0.00283650\pi\) | |||||||
\(74\) | −1.59900 | − | 2.34530i | −0.185880 | − | 0.272636i | ||||
\(75\) | 2.80630 | − | 14.4791i | 0.324043 | − | 1.67190i | ||||
\(76\) | −2.47435 | + | 2.66671i | −0.283827 | + | 0.305893i | ||||
\(77\) | 3.13098 | + | 4.24233i | 0.356809 | + | 0.483459i | ||||
\(78\) | 7.65294 | − | 12.1796i | 0.866525 | − | 1.37907i | ||||
\(79\) | 7.83013 | − | 4.52073i | 0.880959 | − | 0.508622i | 0.00998442 | − | 0.999950i | \(-0.496822\pi\) |
0.870974 | + | 0.491328i | \(0.163488\pi\) | |||||||
\(80\) | −1.39805 | + | 1.74513i | −0.156306 | + | 0.195111i | ||||
\(81\) | −6.11231 | − | 1.88540i | −0.679146 | − | 0.209489i | ||||
\(82\) | −0.864248 | + | 7.67041i | −0.0954402 | + | 0.847055i | ||||
\(83\) | 7.82024 | − | 6.72986i | 0.858383 | − | 0.738698i | −0.108452 | − | 0.994102i | \(-0.534589\pi\) |
0.966835 | + | 0.255404i | \(0.0822084\pi\) | |||||||
\(84\) | −3.67555 | + | 7.63235i | −0.401035 | + | 0.832757i | ||||
\(85\) | 7.22558 | − | 5.30796i | 0.783724 | − | 0.575729i | ||||
\(86\) | −5.63943 | − | 3.34617i | −0.608115 | − | 0.360827i | ||||
\(87\) | 13.1669 | − | 13.1669i | 1.41164 | − | 1.41164i | ||||
\(88\) | −1.73290 | + | 0.606370i | −0.184728 | + | 0.0646392i | ||||
\(89\) | −0.882883 | + | 11.7813i | −0.0935854 | + | 1.24881i | 0.730725 | + | 0.682672i | \(0.239182\pi\) |
−0.824310 | + | 0.566138i | \(0.808437\pi\) | |||||||
\(90\) | 12.3056 | + | 3.32660i | 1.29712 | + | 0.350654i | ||||
\(91\) | −4.12803 | + | 13.3827i | −0.432735 | + | 1.40289i | ||||
\(92\) | −1.40311 | − | 5.23649i | −0.146285 | − | 0.545942i | ||||
\(93\) | −15.7827 | − | 4.22897i | −1.63659 | − | 0.438524i | ||||
\(94\) | −2.53590 | − | 11.1105i | −0.261558 | − | 1.14596i | ||||
\(95\) | −7.76769 | − | 2.41493i | −0.796948 | − | 0.247766i | ||||
\(96\) | −2.16229 | − | 2.00631i | −0.220688 | − | 0.204768i | ||||
\(97\) | 0.597445 | + | 5.30247i | 0.0606613 | + | 0.538384i | 0.986887 | + | 0.161414i | \(0.0516055\pi\) |
−0.926225 | + | 0.376970i | \(0.876966\pi\) | |||||||
\(98\) | 0.231983 | − | 1.22606i | 0.0234339 | − | 0.123851i | ||||
\(99\) | 7.11884 | + | 7.67229i | 0.715470 | + | 0.771094i | ||||
\(100\) | −4.86965 | − | 1.13426i | −0.486965 | − | 0.113426i | ||||
\(101\) | 0.217299 | − | 0.553669i | 0.0216221 | − | 0.0550921i | −0.919655 | − | 0.392727i | \(-0.871532\pi\) |
0.941277 | + | 0.337635i | \(0.109627\pi\) | |||||||
\(102\) | 6.29238 | + | 10.0143i | 0.623038 | + | 0.991560i | ||||
\(103\) | 17.6203 | + | 9.31258i | 1.73618 | + | 0.917596i | 0.956657 | + | 0.291217i | \(0.0940603\pi\) |
0.779519 | + | 0.626378i | \(0.215464\pi\) | |||||||
\(104\) | −4.02918 | − | 2.74705i | −0.395094 | − | 0.269371i | ||||
\(105\) | −18.9423 | − | 0.0420893i | −1.84858 | − | 0.00410749i | ||||
\(106\) | −2.21608 | + | 0.869748i | −0.215245 | + | 0.0844774i | ||||
\(107\) | −4.23928 | + | 12.1152i | −0.409827 | + | 1.17122i | 0.535342 | + | 0.844635i | \(0.320183\pi\) |
−0.945169 | + | 0.326582i | \(0.894103\pi\) | |||||||
\(108\) | −2.63116 | + | 7.51944i | −0.253184 | + | 0.723558i | ||||
\(109\) | −4.66475 | + | 1.83078i | −0.446802 | + | 0.175357i | −0.578065 | − | 0.815991i | \(-0.696192\pi\) |
0.131263 | + | 0.991348i | \(0.458097\pi\) | |||||||
\(110\) | −2.89640 | − | 2.90930i | −0.276161 | − | 0.277391i | ||||
\(111\) | 6.91795 | + | 4.71658i | 0.656622 | + | 0.447678i | ||||
\(112\) | 2.53909 | + | 1.34195i | 0.239922 | + | 0.126802i | ||||
\(113\) | 6.62971 | + | 10.5511i | 0.623670 | + | 0.992566i | 0.997871 | + | 0.0652181i | \(0.0207743\pi\) |
−0.374201 | + | 0.927348i | \(0.622083\pi\) | |||||||
\(114\) | 3.92030 | − | 9.98876i | 0.367169 | − | 0.935533i | ||||
\(115\) | 9.20584 | − | 7.88673i | 0.858449 | − | 0.735441i | ||||
\(116\) | −4.29377 | − | 4.62758i | −0.398667 | − | 0.429660i | ||||
\(117\) | −5.16835 | + | 27.3154i | −0.477814 | + | 2.52531i | ||||
\(118\) | 0.182393 | + | 1.61878i | 0.0167906 | + | 0.149021i | ||||
\(119\) | −8.44117 | − | 7.83226i | −0.773800 | − | 0.717982i | ||||
\(120\) | 1.95813 | − | 6.29838i | 0.178752 | − | 0.574961i | ||||
\(121\) | 1.69769 | + | 7.43807i | 0.154336 | + | 0.676188i | ||||
\(122\) | −8.27462 | − | 2.21718i | −0.749149 | − | 0.200734i | ||||
\(123\) | −5.89295 | − | 21.9928i | −0.531350 | − | 1.98302i | ||||
\(124\) | −1.63275 | + | 5.29326i | −0.146626 | + | 0.475349i | ||||
\(125\) | −2.41515 | − | 10.9164i | −0.216017 | − | 0.976390i | ||||
\(126\) | 1.22349 | − | 16.3263i | 0.108997 | − | 1.45446i | ||||
\(127\) | −3.46910 | + | 1.21389i | −0.307832 | + | 0.107715i | −0.479774 | − | 0.877392i | \(-0.659282\pi\) |
0.171942 | + | 0.985107i | \(0.444996\pi\) | |||||||
\(128\) | −0.707107 | + | 0.707107i | −0.0625000 | + | 0.0625000i | ||||
\(129\) | 19.0908 | + | 3.11062i | 1.68085 | + | 0.273875i | ||||
\(130\) | 1.64915 | − | 10.7788i | 0.144640 | − | 0.945367i | ||||
\(131\) | 5.78329 | − | 12.0091i | 0.505288 | − | 1.04924i | −0.479829 | − | 0.877362i | \(-0.659301\pi\) |
0.985118 | − | 0.171880i | \(-0.0549843\pi\) | |||||||
\(132\) | 4.10476 | − | 3.53244i | 0.357274 | − | 0.307459i | ||||
\(133\) | −1.16975 | + | 10.3818i | −0.101430 | + | 0.900214i | ||||
\(134\) | 5.58846 | + | 1.72381i | 0.482769 | + | 0.148915i | ||||
\(135\) | −17.7060 | + | 1.95515i | −1.52389 | + | 0.168273i | ||||
\(136\) | 3.47239 | − | 2.00479i | 0.297755 | − | 0.171909i | ||||
\(137\) | 11.5616 | − | 18.4002i | 0.987778 | − | 1.57204i | 0.179063 | − | 0.983838i | \(-0.442693\pi\) |
0.808714 | − | 0.588202i | \(-0.200164\pi\) | |||||||
\(138\) | 9.49578 | + | 12.8663i | 0.808334 | + | 1.09525i | ||||
\(139\) | 2.15103 | − | 2.31826i | 0.182448 | − | 0.196632i | −0.635205 | − | 0.772344i | \(-0.719084\pi\) |
0.817653 | + | 0.575711i | \(0.195275\pi\) | |||||||
\(140\) | −0.254376 | + | 6.41673i | −0.0214987 | + | 0.542312i | ||||
\(141\) | 18.9363 | + | 27.7745i | 1.59472 | + | 2.33903i | ||||
\(142\) | 0.629475 | − | 16.8231i | 0.0528243 | − | 1.41176i | ||||
\(143\) | 5.83992 | − | 6.78611i | 0.488359 | − | 0.567483i | ||||
\(144\) | 5.30670 | + | 2.08273i | 0.442225 | + | 0.173561i | ||||
\(145\) | 5.18625 | − | 13.1285i | 0.430695 | − | 1.09026i | ||||
\(146\) | 0.755935 | − | 0.233175i | 0.0625616 | − | 0.0192977i | ||||
\(147\) | 0.684283 | + | 3.61652i | 0.0564387 | + | 0.298286i | ||||
\(148\) | 1.68557 | − | 2.28387i | 0.138553 | − | 0.187733i | ||||
\(149\) | 4.74255 | + | 12.0838i | 0.388525 | + | 0.989945i | 0.982633 | + | 0.185560i | \(0.0594099\pi\) |
−0.594108 | + | 0.804385i | \(0.702495\pi\) | |||||||
\(150\) | 14.5934 | − | 2.13332i | 1.19155 | − | 0.174185i | ||||
\(151\) | 3.44103 | + | 7.14536i | 0.280027 | + | 0.581482i | 0.992782 | − | 0.119931i | \(-0.0382674\pi\) |
−0.712755 | + | 0.701413i | \(0.752553\pi\) | |||||||
\(152\) | −3.33429 | − | 1.45474i | −0.270447 | − | 0.117995i | ||||
\(153\) | −18.3912 | − | 13.5733i | −1.48684 | − | 1.09734i | ||||
\(154\) | −2.97017 | + | 4.35644i | −0.239343 | + | 0.351052i | ||||
\(155\) | −12.2521 | + | 1.81887i | −0.984113 | + | 0.146096i | ||||
\(156\) | 14.0237 | + | 3.20082i | 1.12280 | + | 0.256271i | ||||
\(157\) | −1.88760 | + | 0.823553i | −0.150647 | + | 0.0657267i | −0.473863 | − | 0.880599i | \(-0.657141\pi\) |
0.323216 | + | 0.946325i | \(0.395236\pi\) | |||||||
\(158\) | 6.85317 | + | 5.89763i | 0.545209 | + | 0.469190i | ||||
\(159\) | 5.14765 | − | 4.77632i | 0.408235 | − | 0.378787i | ||||
\(160\) | −2.10894 | − | 0.743214i | −0.166726 | − | 0.0587562i | ||||
\(161\) | −12.1725 | − | 9.70723i | −0.959326 | − | 0.765037i | ||||
\(162\) | −0.239173 | − | 6.39202i | −0.0187912 | − | 0.502204i | ||||
\(163\) | −3.07114 | + | 2.26660i | −0.240550 | + | 0.177534i | −0.707423 | − | 0.706790i | \(-0.750142\pi\) |
0.466873 | + | 0.884324i | \(0.345381\pi\) | |||||||
\(164\) | −7.52541 | + | 1.71763i | −0.587636 | + | 0.134124i | ||||
\(165\) | 11.0882 | + | 4.86708i | 0.863213 | + | 0.378901i | ||||
\(166\) | 8.93506 | + | 5.15866i | 0.693495 | + | 0.400390i | ||||
\(167\) | −21.7158 | + | 11.4771i | −1.68042 | + | 0.888127i | −0.694787 | + | 0.719215i | \(0.744502\pi\) |
−0.985631 | + | 0.168912i | \(0.945975\pi\) | |||||||
\(168\) | −8.41800 | − | 0.948481i | −0.649463 | − | 0.0731769i | ||||
\(169\) | 10.7505 | + | 0.805636i | 0.826959 | + | 0.0619720i | ||||
\(170\) | 7.39655 | + | 5.06699i | 0.567290 | + | 0.388621i | ||||
\(171\) | 20.7384i | 1.58591i | ||||||||
\(172\) | 1.29581 | − | 6.42813i | 0.0988048 | − | 0.490140i | ||||
\(173\) | −8.03083 | − | 8.03083i | −0.610573 | − | 0.610573i | 0.332522 | − | 0.943095i | \(-0.392100\pi\) |
−0.943095 | + | 0.332522i | \(0.892100\pi\) | |||||||
\(174\) | 16.7768 | + | 8.07926i | 1.27184 | + | 0.612487i | ||||
\(175\) | −13.1868 | + | 5.68371i | −0.996826 | + | 0.429648i | ||||
\(176\) | −1.14468 | − | 1.43539i | −0.0862838 | − | 0.108196i | ||||
\(177\) | −2.24529 | − | 4.24830i | −0.168766 | − | 0.319321i | ||||
\(178\) | −11.4117 | + | 3.05776i | −0.855345 | + | 0.229189i | ||||
\(179\) | −4.70041 | − | 8.14136i | −0.351325 | − | 0.608513i | 0.635157 | − | 0.772383i | \(-0.280936\pi\) |
−0.986482 | + | 0.163870i | \(0.947602\pi\) | |||||||
\(180\) | 0.924361 | + | 12.7138i | 0.0688978 | + | 0.947627i | ||||
\(181\) | 1.06691 | + | 0.160811i | 0.0793027 | + | 0.0119530i | 0.188574 | − | 0.982059i | \(-0.439614\pi\) |
−0.109271 | + | 0.994012i | \(0.534852\pi\) | |||||||
\(182\) | −13.9951 | + | 0.523661i | −1.03739 | + | 0.0388163i | ||||
\(183\) | 25.1098 | − | 2.82920i | 1.85617 | − | 0.209140i | ||||
\(184\) | 4.47922 | − | 3.05388i | 0.330212 | − | 0.225135i | ||||
\(185\) | 6.23384 | + | 1.19386i | 0.458321 | + | 0.0877744i | ||||
\(186\) | −1.22105 | − | 16.2938i | −0.0895318 | − | 1.19472i | ||||
\(187\) | 2.94373 | + | 6.74709i | 0.215267 | + | 0.493396i | ||||
\(188\) | 9.64946 | − | 6.06316i | 0.703759 | − | 0.442201i | ||||
\(189\) | 6.74369 | + | 21.8625i | 0.490532 | + | 1.59026i | ||||
\(190\) | −0.286093 | − | 8.12939i | −0.0207554 | − | 0.589768i | ||||
\(191\) | −2.83970 | − | 18.8402i | −0.205473 | − | 1.36323i | −0.819109 | − | 0.573637i | \(-0.805532\pi\) |
0.613636 | − | 0.789589i | \(-0.289706\pi\) | |||||||
\(192\) | 1.17956 | − | 2.70359i | 0.0851277 | − | 0.195115i | ||||
\(193\) | −25.3192 | − | 8.85957i | −1.82252 | − | 0.637726i | −0.997343 | − | 0.0728437i | \(-0.976793\pi\) |
−0.825172 | − | 0.564882i | \(-0.808922\pi\) | |||||||
\(194\) | −4.80759 | + | 2.31521i | −0.345165 | + | 0.166223i | ||||
\(195\) | 7.08756 | + | 31.3738i | 0.507551 | + | 2.24672i | ||||
\(196\) | 1.23388 | − | 0.185977i | 0.0881341 | − | 0.0132841i | ||||
\(197\) | 6.43173 | − | 1.21695i | 0.458242 | − | 0.0867040i | 0.0483345 | − | 0.998831i | \(-0.484609\pi\) |
0.409907 | + | 0.912127i | \(0.365561\pi\) | |||||||
\(198\) | −4.89054 | + | 9.25335i | −0.347555 | + | 0.657607i | ||||
\(199\) | −1.28471 | + | 5.62869i | −0.0910708 | + | 0.399007i | −0.999832 | − | 0.0183084i | \(-0.994172\pi\) |
0.908762 | + | 0.417316i | \(0.137029\pi\) | |||||||
\(200\) | −0.537737 | − | 4.97100i | −0.0380237 | − | 0.351503i | ||||
\(201\) | −17.2025 | + | 1.28915i | −1.21337 | + | 0.0909294i | ||||
\(202\) | 0.594368 | + | 0.0222397i | 0.0418196 | + | 0.00156478i | ||||
\(203\) | −17.8136 | − | 3.37051i | −1.25027 | − | 0.236563i | ||||
\(204\) | −7.37406 | + | 9.24678i | −0.516287 | + | 0.647404i | ||||
\(205\) | −10.7315 | − | 13.5184i | −0.749519 | − | 0.944163i | ||||
\(206\) | −2.97039 | + | 19.7072i | −0.206957 | + | 1.37307i | ||||
\(207\) | −26.1681 | − | 16.4425i | −1.81881 | − | 1.14283i | ||||
\(208\) | 1.26214 | − | 4.71037i | 0.0875137 | − | 0.326606i | ||||
\(209\) | 3.33940 | − | 5.78400i | 0.230991 | − | 0.400088i | ||||
\(210\) | −6.21651 | − | 17.8932i | −0.428980 | − | 1.23475i | ||||
\(211\) | −10.8595 | + | 8.66016i | −0.747599 | + | 0.596190i | −0.921411 | − | 0.388589i | \(-0.872963\pi\) |
0.173813 | + | 0.984779i | \(0.444391\pi\) | |||||||
\(212\) | −1.55287 | − | 1.80446i | −0.106651 | − | 0.123931i | ||||
\(213\) | 16.4009 | + | 46.8712i | 1.12377 | + | 3.21156i | ||||
\(214\) | −12.8354 | −0.877413 | ||||||||
\(215\) | 14.2155 | − | 3.59437i | 0.969489 | − | 0.245134i | ||||
\(216\) | −7.96649 | −0.542051 | ||||||||
\(217\) | 5.25424 | + | 15.0158i | 0.356681 | + | 1.01934i | ||||
\(218\) | −3.26871 | − | 3.79831i | −0.221385 | − | 0.257254i | ||||
\(219\) | −1.82437 | + | 1.45489i | −0.123279 | + | 0.0983121i | ||||
\(220\) | 1.78942 | − | 3.69475i | 0.120643 | − | 0.249100i | ||||
\(221\) | −9.77642 | + | 16.9333i | −0.657633 | + | 1.13905i | ||||
\(222\) | −2.16704 | + | 8.08752i | −0.145443 | + | 0.542799i | ||||
\(223\) | 13.8374 | + | 8.69463i | 0.926622 | + | 0.582235i | 0.908630 | − | 0.417603i | \(-0.137130\pi\) |
0.0179925 | + | 0.999838i | \(0.494272\pi\) | |||||||
\(224\) | −0.428035 | + | 2.83982i | −0.0285993 | + | 0.189744i | ||||
\(225\) | −24.7482 | + | 14.1421i | −1.64988 | + | 0.942806i | ||||
\(226\) | −7.76937 | + | 9.74248i | −0.516811 | + | 0.648060i | ||||
\(227\) | 5.73540 | + | 1.08520i | 0.380672 | + | 0.0720270i | 0.372726 | − | 0.927941i | \(-0.378423\pi\) |
0.00794576 | + | 0.999968i | \(0.497471\pi\) | |||||||
\(228\) | 10.7230 | + | 0.401227i | 0.710149 | + | 0.0265719i | ||||
\(229\) | 11.9514 | − | 0.895635i | 0.789772 | − | 0.0591852i | 0.326265 | − | 0.945278i | \(-0.394210\pi\) |
0.463507 | + | 0.886093i | \(0.346591\pi\) | |||||||
\(230\) | 10.4846 | + | 6.08441i | 0.691337 | + | 0.401194i | ||||
\(231\) | 3.46079 | − | 15.1627i | 0.227703 | − | 0.997634i | ||||
\(232\) | 2.94976 | − | 5.58121i | 0.193661 | − | 0.366424i | ||||
\(233\) | 3.58195 | − | 0.677742i | 0.234661 | − | 0.0444003i | −0.0672507 | − | 0.997736i | \(-0.521423\pi\) |
0.301912 | + | 0.953336i | \(0.402375\pi\) | |||||||
\(234\) | −27.4895 | + | 4.14338i | −1.79705 | + | 0.270861i | ||||
\(235\) | 21.5467 | + | 13.6055i | 1.40555 | + | 0.887528i | ||||
\(236\) | −1.46770 | + | 0.706806i | −0.0955390 | + | 0.0460092i | ||||
\(237\) | −25.1730 | − | 8.80843i | −1.63517 | − | 0.572169i | ||||
\(238\) | 4.60480 | − | 10.5543i | 0.298485 | − | 0.684134i | ||||
\(239\) | −1.90145 | − | 12.6153i | −0.122995 | − | 0.816016i | −0.962228 | − | 0.272245i | \(-0.912234\pi\) |
0.839233 | − | 0.543771i | \(-0.183004\pi\) | |||||||
\(240\) | 6.59167 | − | 0.231977i | 0.425490 | − | 0.0149740i | ||||
\(241\) | −5.37630 | − | 17.4295i | −0.346318 | − | 1.12273i | −0.946455 | − | 0.322837i | \(-0.895363\pi\) |
0.600137 | − | 0.799897i | \(-0.295113\pi\) | |||||||
\(242\) | −6.45996 | + | 4.05906i | −0.415262 | + | 0.260926i | ||||
\(243\) | −2.01213 | − | 4.61185i | −0.129078 | − | 0.295851i | ||||
\(244\) | −0.640177 | − | 8.54256i | −0.0409831 | − | 0.546881i | ||||
\(245\) | 1.56665 | + | 2.30886i | 0.100090 | + | 0.147508i | ||||
\(246\) | 18.8123 | − | 12.8260i | 1.19943 | − | 0.817757i | ||||
\(247\) | 17.6284 | − | 1.98625i | 1.12167 | − | 0.126382i | ||||
\(248\) | −5.53548 | + | 0.207123i | −0.351504 | + | 0.0131523i | ||||
\(249\) | −30.0932 | − | 4.53582i | −1.90708 | − | 0.287446i | ||||
\(250\) | 9.50610 | − | 5.88506i | 0.601219 | − | 0.372204i | ||||
\(251\) | 6.96412 | + | 12.0622i | 0.439572 | + | 0.761360i | 0.997656 | − | 0.0684237i | \(-0.0217970\pi\) |
−0.558085 | + | 0.829784i | \(0.688464\pi\) | |||||||
\(252\) | 15.8142 | − | 4.23740i | 0.996200 | − | 0.266931i | ||||
\(253\) | 4.65071 | + | 8.79958i | 0.292388 | + | 0.553225i | ||||
\(254\) | −2.29154 | − | 2.87350i | −0.143784 | − | 0.180299i | ||||
\(255\) | −25.7699 | − | 5.94209i | −1.61378 | − | 0.372108i | ||||
\(256\) | −0.900969 | − | 0.433884i | −0.0563106 | − | 0.0271177i | ||||
\(257\) | 5.31399 | + | 5.31399i | 0.331477 | + | 0.331477i | 0.853147 | − | 0.521670i | \(-0.174691\pi\) |
−0.521670 | + | 0.853147i | \(0.674691\pi\) | |||||||
\(258\) | 3.36922 | + | 19.0468i | 0.209758 | + | 1.18580i | ||||
\(259\) | − | 8.15196i | − | 0.506538i | ||||||
\(260\) | 10.7186 | − | 2.00342i | 0.664742 | − | 0.124247i | ||||
\(261\) | −35.8870 | − | 2.68936i | −2.22135 | − | 0.166467i | ||||
\(262\) | 13.2453 | + | 1.49239i | 0.818298 | + | 0.0922001i | ||||
\(263\) | 0.343265 | − | 0.181421i | 0.0211666 | − | 0.0111869i | −0.456652 | − | 0.889645i | \(-0.650951\pi\) |
0.477818 | + | 0.878459i | \(0.341428\pi\) | |||||||
\(264\) | 4.68993 | + | 2.70773i | 0.288645 | + | 0.166649i | ||||
\(265\) | 2.13958 | − | 4.87439i | 0.131433 | − | 0.299431i | ||||
\(266\) | −10.1855 | + | 2.32478i | −0.624515 | + | 0.142541i | ||||
\(267\) | 28.0392 | − | 20.6939i | 1.71597 | − | 1.26644i | ||||
\(268\) | 0.218674 | + | 5.84419i | 0.0133576 | + | 0.356991i | ||||
\(269\) | −13.4065 | − | 10.6913i | −0.817408 | − | 0.651861i | 0.122812 | − | 0.992430i | \(-0.460809\pi\) |
−0.940220 | + | 0.340569i | \(0.889380\pi\) | |||||||
\(270\) | −7.69336 | − | 16.0666i | −0.468203 | − | 0.977785i | ||||
\(271\) | −7.08545 | + | 6.57434i | −0.430410 | + | 0.399362i | −0.865407 | − | 0.501070i | \(-0.832940\pi\) |
0.434997 | + | 0.900432i | \(0.356750\pi\) | |||||||
\(272\) | 3.03914 | + | 2.61539i | 0.184275 | + | 0.158582i | ||||
\(273\) | 37.8636 | − | 16.5197i | 2.29161 | − | 0.999819i | ||||
\(274\) | 21.1863 | + | 4.83562i | 1.27991 | + | 0.292131i | ||||
\(275\) | 9.17956 | + | 0.0407937i | 0.553549 | + | 0.00245995i | ||||
\(276\) | −9.00805 | + | 13.2124i | −0.542221 | + | 0.795292i | ||||
\(277\) | −6.29474 | − | 4.64573i | −0.378214 | − | 0.279135i | 0.388078 | − | 0.921626i | \(-0.373139\pi\) |
−0.766293 | + | 0.642491i | \(0.777901\pi\) | |||||||
\(278\) | 2.89861 | + | 1.26465i | 0.173847 | + | 0.0758487i | ||||
\(279\) | 13.7014 | + | 28.4514i | 0.820284 | + | 1.70334i | ||||
\(280\) | −6.14066 | + | 1.87921i | −0.366974 | + | 0.112304i | ||||
\(281\) | 2.22238 | + | 5.66254i | 0.132576 | + | 0.337799i | 0.981711 | − | 0.190378i | \(-0.0609712\pi\) |
−0.849135 | + | 0.528176i | \(0.822876\pi\) | |||||||
\(282\) | −19.9616 | + | 27.0470i | −1.18869 | + | 1.61062i | ||||
\(283\) | −0.361291 | − | 1.90947i | −0.0214765 | − | 0.113506i | 0.970188 | − | 0.242354i | \(-0.0779196\pi\) |
−0.991664 | + | 0.128848i | \(0.958872\pi\) | |||||||
\(284\) | 16.0869 | − | 4.96215i | 0.954582 | − | 0.294450i | ||||
\(285\) | 9.54618 | + | 22.0134i | 0.565467 | + | 1.30396i | ||||
\(286\) | 8.33410 | + | 3.27089i | 0.492806 | + | 0.193412i | ||||
\(287\) | −14.4599 | + | 16.8028i | −0.853543 | + | 0.991835i | ||||
\(288\) | −0.213159 | + | 5.69679i | −0.0125605 | + | 0.335686i | ||||
\(289\) | 0.520123 | + | 0.762880i | 0.0305955 | + | 0.0448753i | ||||
\(290\) | 14.1047 | + | 0.559147i | 0.828256 | + | 0.0328342i | ||||
\(291\) | 10.7057 | − | 11.5380i | 0.627580 | − | 0.676371i | ||||
\(292\) | 0.469760 | + | 0.636502i | 0.0274906 | + | 0.0372484i | ||||
\(293\) | 4.11101 | − | 6.54264i | 0.240168 | − | 0.382225i | −0.704791 | − | 0.709415i | \(-0.748959\pi\) |
0.944958 | + | 0.327191i | \(0.106102\pi\) | |||||||
\(294\) | −3.18757 | + | 1.84034i | −0.185903 | + | 0.107331i | ||||
\(295\) | −2.84285 | − | 2.27745i | −0.165517 | − | 0.132598i | ||||
\(296\) | 2.71242 | + | 0.836670i | 0.157656 | + | 0.0486305i | ||||
\(297\) | 1.63758 | − | 14.5340i | 0.0950223 | − | 0.843346i | ||||
\(298\) | −9.83935 | + | 8.46745i | −0.569978 | + | 0.490506i | ||||
\(299\) | −11.4705 | + | 23.8187i | −0.663355 | + | 1.37747i | ||||
\(300\) | 6.83351 | + | 13.0699i | 0.394533 | + | 0.754591i | ||||
\(301\) | −7.96822 | − | 17.0635i | −0.459281 | − | 0.983525i | ||||
\(302\) | −5.60789 | + | 5.60789i | −0.322698 | + | 0.322698i | ||||
\(303\) | −1.65599 | + | 0.579455i | −0.0951339 | + | 0.0332888i | ||||
\(304\) | 0.271855 | − | 3.62765i | 0.0155919 | − | 0.208060i | ||||
\(305\) | 16.6102 | − | 9.54077i | 0.951099 | − | 0.546303i | ||||
\(306\) | 6.73742 | − | 21.8422i | 0.385152 | − | 1.24863i | ||||
\(307\) | −5.30566 | − | 19.8010i | −0.302810 | − | 1.13010i | −0.934814 | − | 0.355137i | \(-0.884434\pi\) |
0.632005 | − | 0.774965i | \(-0.282232\pi\) | |||||||
\(308\) | −5.09295 | − | 1.36465i | −0.290198 | − | 0.0777583i | ||||
\(309\) | −13.0814 | − | 57.3132i | −0.744173 | − | 3.26044i | ||||
\(310\) | −5.76342 | − | 10.9638i | −0.327340 | − | 0.622703i | ||||
\(311\) | 22.2625 | + | 20.6566i | 1.26239 | + | 1.17133i | 0.977075 | + | 0.212897i | \(0.0682898\pi\) |
0.285318 | + | 0.958433i | \(0.407901\pi\) | |||||||
\(312\) | 1.61054 | + | 14.2939i | 0.0911787 | + | 0.809233i | ||||
\(313\) | 5.43776 | − | 28.7392i | 0.307360 | − | 1.62444i | −0.399255 | − | 0.916840i | \(-0.630731\pi\) |
0.706615 | − | 0.707598i | \(-0.250221\pi\) | |||||||
\(314\) | −1.40077 | − | 1.50968i | −0.0790503 | − | 0.0851959i | ||||
\(315\) | 23.8179 | + | 27.8016i | 1.34199 | + | 1.56644i | ||||
\(316\) | −3.30322 | + | 8.41646i | −0.185820 | + | 0.473463i | ||||
\(317\) | 12.8980 | + | 20.5271i | 0.724426 | + | 1.15292i | 0.982404 | + | 0.186767i | \(0.0598008\pi\) |
−0.257978 | + | 0.966151i | \(0.583056\pi\) | |||||||
\(318\) | 6.20845 | + | 3.28126i | 0.348152 | + | 0.184004i | ||||
\(319\) | 9.57594 | + | 6.52877i | 0.536150 | + | 0.365541i | ||||
\(320\) | 0.00496847 | − | 2.23606i | 0.000277746 | − | 0.125000i | ||||
\(321\) | 35.2436 | − | 13.8321i | 1.96711 | − | 0.772033i | ||||
\(322\) | 5.14218 | − | 14.6955i | 0.286562 | − | 0.818948i | ||||
\(323\) | −4.81749 | + | 13.7676i | −0.268052 | + | 0.766050i | ||||
\(324\) | 5.95433 | − | 2.33690i | 0.330796 | − | 0.129828i | ||||
\(325\) | 14.3916 | + | 19.6824i | 0.798303 | + | 1.09178i | ||||
\(326\) | −3.15374 | − | 2.15019i | −0.174670 | − | 0.119088i | ||||
\(327\) | 13.0685 | + | 6.90689i | 0.722689 | + | 0.381952i | ||||
\(328\) | −4.10673 | − | 6.53582i | −0.226756 | − | 0.360880i | ||||
\(329\) | 11.9572 | − | 30.4664i | 0.659221 | − | 1.67967i | ||||
\(330\) | −0.931761 | + | 12.0734i | −0.0512917 | + | 0.664621i | ||||
\(331\) | 15.0935 | + | 16.2670i | 0.829615 | + | 0.894112i | 0.995760 | − | 0.0919889i | \(-0.0293224\pi\) |
−0.166145 | + | 0.986101i | \(0.553132\pi\) | |||||||
\(332\) | −1.91811 | + | 10.1375i | −0.105270 | + | 0.556365i | ||||
\(333\) | −1.81179 | − | 16.0800i | −0.0992852 | − | 0.881181i | ||||
\(334\) | −18.0053 | − | 16.7065i | −0.985209 | − | 0.914140i | ||||
\(335\) | −11.5753 | + | 6.08484i | −0.632424 | + | 0.332450i | ||||
\(336\) | −1.88503 | − | 8.25887i | −0.102837 | − | 0.450559i | ||||
\(337\) | 10.4273 | + | 2.79397i | 0.568009 | + | 0.152198i | 0.531383 | − | 0.847132i | \(-0.321672\pi\) |
0.0366256 | + | 0.999329i | \(0.488339\pi\) | |||||||
\(338\) | 2.79023 | + | 10.4133i | 0.151768 | + | 0.566407i | ||||
\(339\) | 10.8342 | − | 35.1236i | 0.588433 | − | 1.90765i | ||||
\(340\) | −2.33973 | + | 8.65500i | −0.126889 | + | 0.469384i | ||||
\(341\) | 0.759996 | − | 10.1414i | 0.0411561 | − | 0.549190i | ||||
\(342\) | −19.5746 | + | 6.84946i | −1.05848 | + | 0.370376i | ||||
\(343\) | −11.6812 | + | 11.6812i | −0.630725 | + | 0.630725i | ||||
\(344\) | 6.49539 | − | 0.899981i | 0.350208 | − | 0.0485237i | ||||
\(345\) | −35.3457 | − | 5.40785i | −1.90295 | − | 0.291149i | ||||
\(346\) | 4.92775 | − | 10.2326i | 0.264918 | − | 0.550107i | ||||
\(347\) | 10.2323 | − | 8.80565i | 0.549301 | − | 0.472712i | −0.333309 | − | 0.942818i | \(-0.608165\pi\) |
0.882610 | + | 0.470106i | \(0.155784\pi\) | |||||||
\(348\) | −2.08487 | + | 18.5037i | −0.111761 | + | 0.991904i | ||||
\(349\) | −18.9838 | − | 5.85574i | −1.01618 | − | 0.313450i | −0.258455 | − | 0.966023i | \(-0.583213\pi\) |
−0.757726 | + | 0.652573i | \(0.773690\pi\) | |||||||
\(350\) | −9.72007 | − | 10.5696i | −0.519560 | − | 0.564967i | ||||
\(351\) | 33.6441 | − | 19.4244i | 1.79579 | − | 1.03680i | ||||
\(352\) | 0.976774 | − | 1.55453i | 0.0520622 | − | 0.0828566i | ||||
\(353\) | 4.81679 | + | 6.52652i | 0.256372 | + | 0.347372i | 0.913814 | − | 0.406134i | \(-0.133123\pi\) |
−0.657442 | + | 0.753505i | \(0.728361\pi\) | |||||||
\(354\) | 3.26832 | − | 3.52241i | 0.173709 | − | 0.187214i | ||||
\(355\) | 25.5429 | + | 27.6517i | 1.35568 | + | 1.46760i | ||||
\(356\) | −6.65522 | − | 9.76142i | −0.352726 | − | 0.517354i | ||||
\(357\) | −1.27004 | + | 33.9424i | −0.0672174 | + | 1.79642i | ||||
\(358\) | 6.13204 | − | 7.12556i | 0.324088 | − | 0.376598i | ||||
\(359\) | −27.5625 | − | 10.8175i | −1.45469 | − | 0.570924i | −0.499342 | − | 0.866405i | \(-0.666425\pi\) |
−0.955349 | + | 0.295481i | \(0.904520\pi\) | |||||||
\(360\) | −11.6950 | + | 5.07158i | −0.616381 | + | 0.267296i | ||||
\(361\) | −5.51006 | + | 1.69963i | −0.290003 | + | 0.0894541i | ||||
\(362\) | 0.200591 | + | 1.06015i | 0.0105428 | + | 0.0557203i | ||||
\(363\) | 13.3635 | − | 18.1070i | 0.701404 | − | 0.950369i | ||||
\(364\) | −5.11658 | − | 13.0368i | −0.268181 | − | 0.683315i | ||||
\(365\) | −0.830029 | + | 1.56208i | −0.0434457 | + | 0.0817630i | ||||
\(366\) | 10.9637 | + | 22.7663i | 0.573081 | + | 1.19001i | ||||
\(367\) | −8.45707 | − | 3.68978i | −0.441455 | − | 0.192605i | 0.167395 | − | 0.985890i | \(-0.446464\pi\) |
−0.608851 | + | 0.793285i | \(0.708369\pi\) | |||||||
\(368\) | 4.36190 | + | 3.21923i | 0.227380 | + | 0.167814i | ||||
\(369\) | −24.7883 | + | 36.3578i | −1.29043 | + | 1.89271i | ||||
\(370\) | 0.932043 | + | 6.27833i | 0.0484546 | + | 0.326395i | ||||
\(371\) | −6.66557 | − | 1.52137i | −0.346059 | − | 0.0789857i | ||||
\(372\) | 14.9762 | − | 6.53403i | 0.776477 | − | 0.338774i | ||||
\(373\) | −4.46147 | − | 3.83940i | −0.231006 | − | 0.198797i | 0.529167 | − | 0.848518i | \(-0.322505\pi\) |
−0.760173 | + | 0.649721i | \(0.774886\pi\) | |||||||
\(374\) | −5.39622 | + | 5.00696i | −0.279032 | + | 0.258904i | ||||
\(375\) | −19.7599 | + | 26.4035i | −1.02040 | + | 1.36347i | ||||
\(376\) | 8.90993 | + | 7.10543i | 0.459494 | + | 0.366435i | ||||
\(377\) | 1.15107 | + | 30.7629i | 0.0592829 | + | 1.58437i | ||||
\(378\) | −18.4084 | + | 13.5860i | −0.946824 | + | 0.698788i | ||||
\(379\) | 20.6404 | − | 4.71103i | 1.06022 | − | 0.241989i | 0.343361 | − | 0.939204i | \(-0.388435\pi\) |
0.716863 | + | 0.697214i | \(0.245577\pi\) | |||||||
\(380\) | 7.57870 | − | 2.95501i | 0.388779 | − | 0.151589i | ||||
\(381\) | 9.38874 | + | 5.42059i | 0.481000 | + | 0.277705i | ||||
\(382\) | 16.8450 | − | 8.90285i | 0.861866 | − | 0.455510i | ||||
\(383\) | 27.3078 | + | 3.07685i | 1.39536 | + | 0.157220i | 0.777410 | − | 0.628995i | \(-0.216533\pi\) |
0.617954 | + | 0.786214i | \(0.287962\pi\) | |||||||
\(384\) | 2.94146 | + | 0.220432i | 0.150106 | + | 0.0112489i | ||||
\(385\) | −2.16614 | − | 11.5892i | −0.110397 | − | 0.590641i | ||||
\(386\) | − | 26.8245i | − | 1.36533i | ||||||
\(387\) | −19.5100 | − | 31.8874i | −0.991748 | − | 1.62093i | ||||
\(388\) | −3.77314 | − | 3.77314i | −0.191552 | − | 0.191552i | ||||
\(389\) | −32.0500 | − | 15.4345i | −1.62500 | − | 0.782559i | −0.999998 | − | 0.00193657i | \(-0.999384\pi\) |
−0.625003 | − | 0.780623i | \(-0.714902\pi\) | |||||||
\(390\) | −27.2723 | + | 17.0519i | −1.38099 | + | 0.863458i | ||||
\(391\) | −13.5527 | − | 16.9945i | −0.685387 | − | 0.859448i | ||||
\(392\) | 0.583065 | + | 1.10321i | 0.0294492 | + | 0.0557206i | ||||
\(393\) | −37.9773 | + | 10.1760i | −1.91570 | + | 0.513311i | ||||
\(394\) | 3.27292 | + | 5.66887i | 0.164888 | + | 0.285594i | ||||
\(395\) | −20.1641 | + | 1.46604i | −1.01457 | + | 0.0737646i | ||||
\(396\) | −10.3493 | − | 1.55991i | −0.520073 | − | 0.0783884i | ||||
\(397\) | 32.2247 | − | 1.20576i | 1.61731 | − | 0.0605155i | 0.786688 | − | 0.617351i | \(-0.211794\pi\) |
0.830623 | + | 0.556835i | \(0.187984\pi\) | |||||||
\(398\) | −5.73714 | + | 0.646420i | −0.287577 | + | 0.0324021i | ||||
\(399\) | 25.4622 | − | 17.3598i | 1.27470 | − | 0.869078i | ||||
\(400\) | 4.51444 | − | 2.14938i | 0.225722 | − | 0.107469i | ||||
\(401\) | −2.78667 | − | 37.1856i | −0.139160 | − | 1.85696i | −0.433366 | − | 0.901218i | \(-0.642674\pi\) |
0.294206 | − | 0.955742i | \(-0.404945\pi\) | |||||||
\(402\) | −6.89842 | − | 15.8114i | −0.344062 | − | 0.788598i | ||||
\(403\) | 22.8725 | − | 14.3717i | 1.13936 | − | 0.715906i | ||||
\(404\) | 0.175316 | + | 0.568360i | 0.00872229 | + | 0.0282770i | ||||
\(405\) | 10.4632 | + | 9.75178i | 0.519920 | + | 0.484570i | ||||
\(406\) | −2.70208 | − | 17.9271i | −0.134102 | − | 0.889709i | ||||
\(407\) | −2.08397 | + | 4.77651i | −0.103299 | + | 0.236763i | ||||
\(408\) | −11.1634 | − | 3.90623i | −0.552669 | − | 0.193387i | ||||
\(409\) | 17.0413 | − | 8.20666i | 0.842639 | − | 0.405793i | 0.0377987 | − | 0.999285i | \(-0.487965\pi\) |
0.804840 | + | 0.593492i | \(0.202251\pi\) | |||||||
\(410\) | 9.21537 | − | 14.5941i | 0.455115 | − | 0.720751i | ||||
\(411\) | −63.3844 | + | 9.55367i | −3.12652 | + | 0.471248i | ||||
\(412\) | −19.5824 | + | 3.70519i | −0.964754 | + | 0.182541i | ||||
\(413\) | −2.18606 | + | 4.13624i | −0.107569 | + | 0.203531i | ||||
\(414\) | 6.87704 | − | 30.1303i | 0.337988 | − | 1.48082i | ||||
\(415\) | −22.2973 | + | 5.92149i | −1.09453 | + | 0.290674i | ||||
\(416\) | 4.86290 | − | 0.364424i | 0.238423 | − | 0.0178674i | ||||
\(417\) | −9.32186 | − | 0.348799i | −0.456494 | − | 0.0170808i | ||||
\(418\) | 6.56236 | + | 1.24167i | 0.320975 | + | 0.0607318i | ||||
\(419\) | −8.68103 | + | 10.8857i | −0.424096 | + | 0.531799i | −0.947274 | − | 0.320424i | \(-0.896175\pi\) |
0.523178 | + | 0.852223i | \(0.324746\pi\) | |||||||
\(420\) | 14.8359 | − | 11.7774i | 0.723919 | − | 0.574679i | ||||
\(421\) | 2.96359 | − | 19.6621i | 0.144436 | − | 0.958273i | −0.792776 | − | 0.609513i | \(-0.791365\pi\) |
0.937212 | − | 0.348759i | \(-0.113397\pi\) | |||||||
\(422\) | −11.7608 | − | 7.38983i | −0.572509 | − | 0.359731i | ||||
\(423\) | 16.8148 | − | 62.7536i | 0.817562 | − | 3.05118i | ||||
\(424\) | 1.19032 | − | 2.06170i | 0.0578072 | − | 0.100125i | ||||
\(425\) | −19.7147 | + | 3.63956i | −0.956305 | + | 0.176544i | ||||
\(426\) | −38.8241 | + | 30.9612i | −1.88103 | + | 1.50007i | ||||
\(427\) | −16.0477 | − | 18.6478i | −0.776602 | − | 0.902428i | ||||
\(428\) | −4.23928 | − | 12.1152i | −0.204913 | − | 0.585609i | ||||
\(429\) | −26.4087 | −1.27502 | ||||||||
\(430\) | 8.08775 | + | 12.2306i | 0.390026 | + | 0.589813i | ||||
\(431\) | −19.8569 | −0.956474 | −0.478237 | − | 0.878231i | \(-0.658724\pi\) | ||||
−0.478237 | + | 0.878231i | \(0.658724\pi\) | |||||||
\(432\) | −2.63116 | − | 7.51944i | −0.126592 | − | 0.361779i | ||||
\(433\) | 1.46752 | + | 1.70529i | 0.0705246 | + | 0.0819511i | 0.792126 | − | 0.610358i | \(-0.208974\pi\) |
−0.721601 | + | 0.692309i | \(0.756593\pi\) | |||||||
\(434\) | −12.4378 | + | 9.91878i | −0.597031 | + | 0.476117i | ||||
\(435\) | −39.3313 | + | 13.6646i | −1.88579 | + | 0.655167i | ||||
\(436\) | 2.50557 | − | 4.33978i | 0.119995 | − | 0.207838i | ||||
\(437\) | −5.10428 | + | 19.0494i | −0.244171 | + | 0.911258i | ||||
\(438\) | −1.97579 | − | 1.24147i | −0.0944071 | − | 0.0593199i | ||||
\(439\) | −2.62330 | + | 17.4044i | −0.125203 | + | 0.830669i | 0.834775 | + | 0.550592i | \(0.185598\pi\) |
−0.959978 | + | 0.280077i | \(0.909640\pi\) | |||||||
\(440\) | 4.07842 | + | 0.468707i | 0.194431 | + | 0.0223447i | ||||
\(441\) | 4.43520 | − | 5.56157i | 0.211200 | − | 0.264837i | ||||
\(442\) | −19.2120 | − | 3.63510i | −0.913820 | − | 0.172904i | ||||
\(443\) | 10.1149 | + | 0.378474i | 0.480575 | + | 0.0179818i | 0.276582 | − | 0.960990i | \(-0.410798\pi\) |
0.203993 | + | 0.978972i | \(0.434608\pi\) | |||||||
\(444\) | −8.34941 | + | 0.625701i | −0.396245 | + | 0.0296945i | ||||
\(445\) | 13.2596 | − | 22.8489i | 0.628564 | − | 1.08314i | ||||
\(446\) | −3.63650 | + | 15.9326i | −0.172193 | + | 0.754429i | ||||
\(447\) | 17.8920 | − | 33.8533i | 0.846263 | − | 1.60121i | ||||
\(448\) | −2.82183 | + | 0.533920i | −0.133319 | + | 0.0252253i | ||||
\(449\) | −1.18355 | + | 0.178392i | −0.0558553 | + | 0.00841883i | −0.176910 | − | 0.984227i | \(-0.556610\pi\) |
0.121055 | + | 0.992646i | \(0.461372\pi\) | |||||||
\(450\) | −21.5223 | − | 18.6885i | −1.01457 | − | 0.880986i | ||||
\(451\) | 12.7680 | − | 6.14876i | 0.601223 | − | 0.289534i | ||||
\(452\) | −11.7618 | − | 4.11564i | −0.553230 | − | 0.193584i | ||||
\(453\) | 9.35484 | − | 21.4415i | 0.439529 | − | 1.00741i | ||||
\(454\) | 0.869984 | + | 5.77196i | 0.0408304 | + | 0.270892i | ||||
\(455\) | 21.3512 | − | 22.9089i | 1.00096 | − | 1.07398i | ||||
\(456\) | 3.16287 | + | 10.2538i | 0.148115 | + | 0.480178i | ||||
\(457\) | 4.26560 | − | 2.68025i | 0.199536 | − | 0.125377i | −0.428558 | − | 0.903514i | \(-0.640978\pi\) |
0.628094 | + | 0.778137i | \(0.283835\pi\) | |||||||
\(458\) | 4.79268 | + | 10.9849i | 0.223947 | + | 0.513292i | ||||
\(459\) | 2.38705 | + | 31.8529i | 0.111418 | + | 1.48677i | ||||
\(460\) | −2.28012 | + | 11.9058i | −0.106311 | + | 0.555112i | ||||
\(461\) | −3.02180 | + | 2.06023i | −0.140739 | + | 0.0959545i | −0.631643 | − | 0.775259i | \(-0.717619\pi\) |
0.490904 | + | 0.871214i | \(0.336667\pi\) | |||||||
\(462\) | 15.4549 | − | 1.74135i | 0.719026 | − | 0.0810147i | ||||
\(463\) | −38.1131 | + | 1.42609i | −1.77127 | + | 0.0662761i | −0.902953 | − | 0.429740i | \(-0.858605\pi\) |
−0.868313 | + | 0.496016i | \(0.834796\pi\) | |||||||
\(464\) | 6.24226 | + | 0.940869i | 0.289789 | + | 0.0436787i | ||||
\(465\) | 27.6404 | + | 23.8936i | 1.28179 | + | 1.10804i | ||||
\(466\) | 1.82275 | + | 3.15710i | 0.0844374 | + | 0.146250i | ||||
\(467\) | 30.8448 | − | 8.26483i | 1.42732 | − | 0.382451i | 0.539249 | − | 0.842147i | \(-0.318708\pi\) |
0.888076 | + | 0.459696i | \(0.152042\pi\) | |||||||
\(468\) | −12.9901 | − | 24.5784i | −0.600467 | − | 1.13614i | ||||
\(469\) | 10.4719 | + | 13.1314i | 0.483549 | + | 0.606351i | ||||
\(470\) | −5.72563 | + | 24.8312i | −0.264104 | + | 1.14538i | ||||
\(471\) | 5.47316 | + | 2.63573i | 0.252190 | + | 0.121448i | ||||
\(472\) | −1.15189 | − | 1.15189i | −0.0530201 | − | 0.0530201i | ||||
\(473\) | 0.306728 | + | 12.0351i | 0.0141033 | + | 0.553374i | ||||
\(474\) | − | 26.6697i | − | 1.22498i | ||||||
\(475\) | 13.2785 | + | 12.4309i | 0.609257 | + | 0.570368i | ||||
\(476\) | 11.4829 | + | 0.860524i | 0.526318 | + | 0.0394421i | ||||
\(477\) | −13.4862 | − | 1.51953i | −0.617491 | − | 0.0695745i | ||||
\(478\) | 11.2794 | − | 5.96132i | 0.515906 | − | 0.272664i | ||||
\(479\) | −15.3991 | − | 8.89070i | −0.703605 | − | 0.406226i | 0.105084 | − | 0.994463i | \(-0.466489\pi\) |
−0.808689 | + | 0.588237i | \(0.799822\pi\) | |||||||
\(480\) | 2.39605 | + | 6.14515i | 0.109364 | + | 0.280486i | ||||
\(481\) | −13.4951 | + | 3.08017i | −0.615325 | + | 0.140444i | ||||
\(482\) | 14.6758 | − | 10.8312i | 0.668463 | − | 0.493348i | ||||
\(483\) | 1.71717 | + | 45.8924i | 0.0781341 | + | 2.08818i | ||||
\(484\) | −5.96487 | − | 4.75683i | −0.271131 | − | 0.216219i | ||||
\(485\) | 3.96581 | − | 11.2534i | 0.180078 | − | 0.510989i | ||||
\(486\) | 3.68849 | − | 3.42242i | 0.167313 | − | 0.155244i | ||||
\(487\) | −1.36100 | − | 1.17124i | −0.0616729 | − | 0.0530738i | 0.620911 | − | 0.783881i | \(-0.286763\pi\) |
−0.682584 | + | 0.730807i | \(0.739144\pi\) | |||||||
\(488\) | 7.85174 | − | 3.42568i | 0.355432 | − | 0.155073i | ||||
\(489\) | 10.9767 | + | 2.50536i | 0.496384 | + | 0.113296i | ||||
\(490\) | −1.66186 | + | 2.24130i | −0.0750752 | + | 0.101252i | ||||
\(491\) | −3.54133 | + | 5.19417i | −0.159818 | + | 0.234410i | −0.897792 | − | 0.440419i | \(-0.854830\pi\) |
0.737975 | + | 0.674828i | \(0.235782\pi\) | |||||||
\(492\) | 18.3196 | + | 13.5205i | 0.825911 | + | 0.609550i | ||||
\(493\) | −23.1996 | − | 10.1219i | −1.04486 | − | 0.455866i | ||||
\(494\) | 7.69709 | + | 15.9832i | 0.346308 | + | 0.719117i | ||||
\(495\) | −6.84850 | − | 22.3787i | −0.307817 | − | 1.00585i | ||||
\(496\) | −2.02375 | − | 5.15644i | −0.0908693 | − | 0.231531i | ||||
\(497\) | 28.7100 | − | 38.9007i | 1.28782 | − | 1.74493i | ||||
\(498\) | −5.65786 | − | 29.9025i | −0.253535 | − | 1.33996i | ||||
\(499\) | −15.2890 | + | 4.71605i | −0.684432 | + | 0.211119i | −0.617421 | − | 0.786633i | \(-0.711822\pi\) |
−0.0670109 | + | 0.997752i | \(0.521346\pi\) | |||||||
\(500\) | 8.69448 | + | 7.02894i | 0.388829 | + | 0.314344i | ||||
\(501\) | 67.4429 | + | 26.4694i | 3.01313 | + | 1.18257i | ||||
\(502\) | −9.08522 | + | 10.5572i | −0.405493 | + | 0.471192i | ||||
\(503\) | −1.23942 | + | 33.1242i | −0.0552629 | + | 1.47693i | 0.645621 | + | 0.763658i | \(0.276599\pi\) |
−0.700884 | + | 0.713275i | \(0.747211\pi\) | |||||||
\(504\) | 9.22271 | + | 13.5272i | 0.410812 | + | 0.602551i | ||||
\(505\) | −0.976951 | + | 0.902446i | −0.0434737 | + | 0.0401583i | ||||
\(506\) | −6.76974 | + | 7.29605i | −0.300952 | + | 0.324349i | ||||
\(507\) | −18.8833 | − | 25.5859i | −0.838636 | − | 1.13631i | ||||
\(508\) | 1.95540 | − | 3.11200i | 0.0867569 | − | 0.138073i | ||||
\(509\) | 6.78373 | − | 3.91659i | 0.300684 | − | 0.173600i | −0.342066 | − | 0.939676i | \(-0.611127\pi\) |
0.642750 | + | 0.766076i | \(0.277793\pi\) | |||||||
\(510\) | −2.90263 | − | 26.2864i | −0.128530 | − | 1.16398i | ||||
\(511\) | 2.17097 | + | 0.669656i | 0.0960381 | + | 0.0296238i | ||||
\(512\) | 0.111964 | − | 0.993712i | 0.00494818 | − | 0.0439163i | ||||
\(513\) | 21.9665 | − | 18.9037i | 0.969846 | − | 0.834620i | ||||
\(514\) | −3.26069 | + | 6.77088i | −0.143823 | + | 0.298651i | ||||
\(515\) | −26.3835 | − | 35.9152i | −1.16260 | − | 1.58261i | ||||
\(516\) | −16.8652 | + | 9.47092i | −0.742449 | + | 0.416934i | ||||
\(517\) | −14.7946 | + | 14.7946i | −0.650665 | + | 0.650665i | ||||
\(518\) | 7.69450 | − | 2.69242i | 0.338077 | − | 0.118298i | ||||
\(519\) | −2.50351 | + | 33.4071i | −0.109892 | + | 1.46641i | ||||
\(520\) | 5.43114 | + | 9.45546i | 0.238171 | + | 0.414650i | ||||
\(521\) | −5.99288 | + | 19.4284i | −0.262553 | + | 0.851175i | 0.724291 | + | 0.689495i | \(0.242167\pi\) |
−0.986843 | + | 0.161680i | \(0.948309\pi\) | |||||||
\(522\) | −9.31428 | − | 34.7614i | −0.407675 | − | 1.52146i | ||||
\(523\) | −18.3123 | − | 4.90677i | −0.800741 | − | 0.214558i | −0.164832 | − | 0.986322i | \(-0.552708\pi\) |
−0.635909 | + | 0.771764i | \(0.719375\pi\) | |||||||
\(524\) | 2.96601 | + | 12.9949i | 0.129571 | + | 0.567686i | ||||
\(525\) | 38.0797 | + | 18.5471i | 1.66193 | + | 0.809463i | ||||
\(526\) | 0.284613 | + | 0.264083i | 0.0124097 | + | 0.0115145i | ||||
\(527\) | 2.48678 | + | 22.0708i | 0.108326 | + | 0.961419i | ||||
\(528\) | −1.00680 | + | 5.32105i | −0.0438152 | + | 0.231569i | ||||
\(529\) | −4.34601 | − | 4.68389i | −0.188957 | − | 0.203647i | ||||
\(530\) | 5.30751 | + | 0.409604i | 0.230543 | + | 0.0177921i | ||||
\(531\) | −3.39281 | + | 8.64473i | −0.147235 | + | 0.375149i | ||||
\(532\) | −5.55839 | − | 8.84613i | −0.240987 | − | 0.383528i | ||||
\(533\) | 33.2796 | + | 17.5888i | 1.44150 | + | 0.761855i | ||||
\(534\) | 28.7933 | + | 19.6310i | 1.24601 | + | 0.849515i | ||||
\(535\) | 20.3397 | − | 20.2495i | 0.879361 | − | 0.875461i | ||||
\(536\) | −5.44401 | + | 2.13662i | −0.235145 | + | 0.0922878i | ||||
\(537\) | −9.15854 | + | 26.1736i | −0.395220 | + | 1.12947i | ||||
\(538\) | 5.66347 | − | 16.1853i | 0.244170 | − | 0.697797i | ||||
\(539\) | −2.13254 | + | 0.836961i | −0.0918550 | + | 0.0360504i | ||||
\(540\) | 12.6241 | − | 12.5681i | 0.543254 | − | 0.540845i | ||||
\(541\) | 20.6688 | + | 14.0918i | 0.888622 | + | 0.605852i | 0.919248 | − | 0.393679i | \(-0.128798\pi\) |
−0.0306263 | + | 0.999531i | \(0.509750\pi\) | |||||||
\(542\) | −8.54558 | − | 4.51647i | −0.367064 | − | 0.193999i | ||||
\(543\) | −1.69325 | − | 2.69480i | −0.0726645 | − | 0.115645i | ||||
\(544\) | −1.46486 | + | 3.73241i | −0.0628054 | + | 0.160026i | ||||
\(545\) | 11.1720 | + | 0.862197i | 0.478558 | + | 0.0369325i | ||||
\(546\) | 28.0982 | + | 30.2827i | 1.20249 | + | 1.29598i | ||||
\(547\) | 1.73324 | − | 9.16037i | 0.0741078 | − | 0.391669i | −0.925799 | − | 0.378016i | \(-0.876606\pi\) |
0.999907 | − | 0.0136529i | \(-0.00434600\pi\) | |||||||
\(548\) | 2.43311 | + | 21.5945i | 0.103937 | + | 0.922470i | ||||
\(549\) | −35.7991 | − | 33.2168i | −1.52787 | − | 1.41766i | ||||
\(550\) | 2.99331 | + | 8.67791i | 0.127635 | + | 0.370027i | ||||
\(551\) | 5.11013 | + | 22.3889i | 0.217699 | + | 0.953801i | ||||
\(552\) | −15.4461 | − | 4.13877i | −0.657430 | − | 0.176158i | ||||
\(553\) | 6.72054 | + | 25.0814i | 0.285786 | + | 1.06657i | ||||
\(554\) | 2.30601 | − | 7.47589i | 0.0979728 | − | 0.317620i | ||||
\(555\) | −9.32505 | − | 16.2347i | −0.395826 | − | 0.689123i | ||||
\(556\) | −0.236332 | + | 3.15364i | −0.0100227 | + | 0.133744i | ||||
\(557\) | 14.1409 | − | 4.94813i | 0.599171 | − | 0.209659i | −0.0136158 | − | 0.999907i | \(-0.504334\pi\) |
0.612787 | + | 0.790248i | \(0.290048\pi\) | |||||||
\(558\) | −22.3295 | + | 22.3295i | −0.945281 | + | 0.945281i | ||||
\(559\) | −25.2370 | + | 19.6383i | −1.06741 | + | 0.830611i | ||||
\(560\) | −3.80188 | − | 5.17540i | −0.160659 | − | 0.218701i | ||||
\(561\) | 9.42121 | − | 19.5634i | 0.397764 | − | 0.825965i | ||||
\(562\) | −4.61077 | + | 3.96789i | −0.194494 | + | 0.167375i | ||||
\(563\) | 3.55331 | − | 31.5365i | 0.149754 | − | 1.32910i | −0.663930 | − | 0.747795i | \(-0.731113\pi\) |
0.813684 | − | 0.581308i | \(-0.197459\pi\) | |||||||
\(564\) | −32.1221 | − | 9.90835i | −1.35258 | − | 0.417217i | ||||
\(565\) | −3.05823 | − | 27.6955i | −0.128661 | − | 1.16516i | ||||
\(566\) | 1.68299 | − | 0.971675i | 0.0707413 | − | 0.0408425i | ||||
\(567\) | 9.77348 | − | 15.5544i | 0.410448 | − | 0.653224i | ||||
\(568\) | 9.99686 | + | 13.5453i | 0.419459 | + | 0.568347i | ||||
\(569\) | −18.4470 | + | 19.8812i | −0.773340 | + | 0.833463i | −0.989746 | − | 0.142841i | \(-0.954376\pi\) |
0.216405 | + | 0.976304i | \(0.430567\pi\) | |||||||
\(570\) | −17.6252 | + | 16.2811i | −0.738238 | + | 0.681938i | ||||
\(571\) | 6.23294 | + | 9.14205i | 0.260840 | + | 0.382583i | 0.934210 | − | 0.356723i | \(-0.116106\pi\) |
−0.673370 | + | 0.739306i | \(0.735154\pi\) | |||||||
\(572\) | −0.334763 | + | 8.94672i | −0.0139971 | + | 0.374081i | ||||
\(573\) | −36.6590 | + | 42.5985i | −1.53145 | + | 1.77958i | ||||
\(574\) | −20.6357 | − | 8.09890i | −0.861315 | − | 0.338041i | ||||
\(575\) | −26.2134 | + | 6.89915i | −1.09317 | + | 0.287714i | ||||
\(576\) | −5.44750 | + | 1.68033i | −0.226979 | + | 0.0700138i | ||||
\(577\) | −3.19334 | − | 16.8772i | −0.132940 | − | 0.702607i | −0.984088 | − | 0.177681i | \(-0.943140\pi\) |
0.851148 | − | 0.524926i | \(-0.175907\pi\) | |||||||
\(578\) | −0.548284 | + | 0.742899i | −0.0228056 | + | 0.0309005i | ||||
\(579\) | 28.9074 | + | 73.6548i | 1.20135 | + | 3.06099i | ||||
\(580\) | 4.13071 | + | 13.4979i | 0.171519 | + | 0.560468i | ||||
\(581\) | 12.8561 | + | 26.6960i | 0.533362 | + | 1.10754i | ||||
\(582\) | 14.4264 | + | 6.29418i | 0.597994 | + | 0.260902i | ||||
\(583\) | 3.51666 | + | 2.59541i | 0.145645 | + | 0.107491i | ||||
\(584\) | −0.445631 | + | 0.653621i | −0.0184404 | + | 0.0270470i | ||||
\(585\) | 37.0245 | − | 49.9339i | 1.53078 | − | 2.06451i | ||||
\(586\) | 7.53327 | + | 1.71942i | 0.311196 | + | 0.0710285i | ||||
\(587\) | −15.9513 | + | 6.95948i | −0.658381 | + | 0.287248i | −0.702400 | − | 0.711782i | \(-0.747888\pi\) |
0.0440197 | + | 0.999031i | \(0.485984\pi\) | |||||||
\(588\) | −2.78986 | − | 2.40087i | −0.115052 | − | 0.0990101i | ||||
\(589\) | 14.7719 | − | 13.7063i | 0.608665 | − | 0.564758i | ||||
\(590\) | 1.21071 | − | 3.43551i | 0.0498442 | − | 0.141438i | ||||
\(591\) | −15.0959 | − | 12.0385i | −0.620961 | − | 0.495200i | ||||
\(592\) | 0.106136 | + | 2.83654i | 0.00436216 | + | 0.116581i | ||||
\(593\) | 31.1364 | − | 22.9797i | 1.27862 | − | 0.943665i | 0.278760 | − | 0.960361i | \(-0.410077\pi\) |
0.999861 | + | 0.0166960i | \(0.00531474\pi\) | |||||||
\(594\) | 14.2592 | − | 3.25457i | 0.585063 | − | 0.133537i | ||||
\(595\) | 9.35372 | + | 23.9895i | 0.383465 | + | 0.983473i | ||||
\(596\) | −11.2420 | − | 6.49058i | −0.460491 | − | 0.265865i | ||||
\(597\) | 15.0565 | − | 7.95757i | 0.616220 | − | 0.325682i | ||||
\(598\) | −26.2705 | − | 2.95998i | −1.07428 | − | 0.121042i | ||||
\(599\) | 30.8124 | + | 2.30907i | 1.25896 | + | 0.0943459i | 0.687439 | − | 0.726242i | \(-0.258735\pi\) |
0.571520 | + | 0.820588i | \(0.306354\pi\) | |||||||
\(600\) | −10.0795 | + | 10.7668i | −0.411494 | + | 0.439551i | ||||
\(601\) | 22.7944i | 0.929802i | 0.885363 | + | 0.464901i | \(0.153910\pi\) | ||||
−0.885363 | + | 0.464901i | \(0.846090\pi\) | |||||||
\(602\) | 13.4742 | − | 13.1568i | 0.549169 | − | 0.536231i | ||||
\(603\) | 23.5747 | + | 23.5747i | 0.960037 | + | 0.960037i | ||||
\(604\) | −7.14536 | − | 3.44103i | −0.290741 | − | 0.140013i | ||||
\(605\) | 3.83310 | − | 16.6236i | 0.155838 | − | 0.675844i | ||||
\(606\) | −1.09388 | − | 1.37168i | −0.0444356 | − | 0.0557205i | ||||
\(607\) | −7.50384 | − | 14.1980i | −0.304571 | − | 0.576277i | 0.683559 | − | 0.729895i | \(-0.260431\pi\) |
−0.988130 | + | 0.153618i | \(0.950907\pi\) | |||||||
\(608\) | 3.51387 | − | 0.941538i | 0.142506 | − | 0.0381844i | ||||
\(609\) | 26.7386 | + | 46.3125i | 1.08350 | + | 1.87668i | ||||
\(610\) | 14.4914 | + | 12.5270i | 0.586739 | + | 0.507203i | ||||
\(611\) | −54.9534 | − | 8.28289i | −2.22318 | − | 0.335090i | ||||
\(612\) | 22.8417 | − | 0.854676i | 0.923320 | − | 0.0345482i | ||||
\(613\) | 25.3326 | − | 2.85430i | 1.02317 | − | 0.115284i | 0.415600 | − | 0.909548i | \(-0.363572\pi\) |
0.607573 | + | 0.794264i | \(0.292143\pi\) | |||||||
\(614\) | 16.9375 | − | 11.5478i | 0.683541 | − | 0.466030i | ||||
\(615\) | −9.57630 | + | 50.0035i | −0.386154 | + | 2.01633i | ||||
\(616\) | −0.394023 | − | 5.25787i | −0.0158756 | − | 0.211846i | ||||
\(617\) | −10.1825 | − | 23.3385i | −0.409931 | − | 0.939572i | −0.991977 | − | 0.126416i | \(-0.959653\pi\) |
0.582046 | − | 0.813156i | \(-0.302252\pi\) | |||||||
\(618\) | 49.7765 | − | 31.2766i | 2.00230 | − | 1.25813i | ||||
\(619\) | −9.13808 | − | 29.6249i | −0.367291 | − | 1.19073i | −0.931082 | − | 0.364810i | \(-0.881134\pi\) |
0.563792 | − | 0.825917i | \(-0.309342\pi\) | |||||||
\(620\) | 8.44503 | − | 9.06112i | 0.339161 | − | 0.363903i | ||||
\(621\) | 6.43685 | + | 42.7057i | 0.258302 | + | 1.71372i | ||||
\(622\) | −12.1446 | + | 27.8357i | −0.486954 | + | 1.11611i | ||||
\(623\) | −32.0255 | − | 11.2062i | −1.28307 | − | 0.448967i | ||||
\(624\) | −12.9599 | + | 6.24114i | −0.518810 | + | 0.249845i | ||||
\(625\) | −5.77943 | + | 24.3228i | −0.231177 | + | 0.972912i | ||||
\(626\) | 28.9225 | − | 4.35936i | 1.15597 | − | 0.174235i | ||||
\(627\) | −19.3570 | + | 3.66255i | −0.773046 | + | 0.146268i | ||||
\(628\) | 0.962312 | − | 1.82078i | 0.0384004 | − | 0.0726571i | ||||
\(629\) | 2.53257 | − | 11.0959i | 0.100980 | − | 0.442423i | ||||
\(630\) | −18.3749 | + | 31.6636i | −0.732074 | + | 1.26151i | ||||
\(631\) | 3.82626 | − | 0.286738i | 0.152321 | − | 0.0114149i | 0.00164859 | − | 0.999999i | \(-0.499475\pi\) |
0.150672 | + | 0.988584i | \(0.451856\pi\) | |||||||
\(632\) | −9.03514 | − | 0.338071i | −0.359398 | − | 0.0134477i | ||||
\(633\) | 40.2566 | + | 7.61697i | 1.60006 | + | 0.302747i | ||||
\(634\) | −15.1152 | + | 18.9539i | −0.600303 | + | 0.752756i | ||||
\(635\) | 8.16458 | + | 0.938303i | 0.324001 | + | 0.0372354i | ||||
\(636\) | −1.04661 | + | 6.94378i | −0.0415007 | + | 0.275339i | ||||
\(637\) | −5.15233 | − | 3.23742i | −0.204143 | − | 0.128271i | ||||
\(638\) | −2.99966 | + | 11.1949i | −0.118758 | + | 0.443210i | ||||
\(639\) | 47.9858 | − | 83.1138i | 1.89829 | − | 3.28793i | ||||
\(640\) | 2.11222 | − | 0.733835i | 0.0834929 | − | 0.0290074i | ||||
\(641\) | 19.2510 | − | 15.3522i | 0.760370 | − | 0.606375i | −0.164624 | − | 0.986356i | \(-0.552641\pi\) |
0.924994 | + | 0.379982i | \(0.124070\pi\) | |||||||
\(642\) | 24.6961 | + | 28.6974i | 0.974679 | + | 1.13260i | ||||
\(643\) | −8.14212 | − | 23.2689i | −0.321094 | − | 0.917634i | −0.985412 | − | 0.170184i | \(-0.945564\pi\) |
0.664318 | − | 0.747450i | \(-0.268722\pi\) | |||||||
\(644\) | 15.5692 | 0.613512 | ||||||||
\(645\) | −35.3877 | − | 24.8672i | −1.39339 | − | 0.979144i | ||||
\(646\) | −14.5861 | −0.573883 | ||||||||
\(647\) | −1.71875 | − | 4.91190i | −0.0675709 | − | 0.193107i | 0.905147 | − | 0.425100i | \(-0.139761\pi\) |
−0.972717 | + | 0.231993i | \(0.925475\pi\) | |||||||
\(648\) | 4.17235 | + | 4.84836i | 0.163905 | + | 0.190462i | ||||
\(649\) | 2.33828 | − | 1.86472i | 0.0917855 | − | 0.0731965i | ||||
\(650\) | −13.8246 | + | 20.0847i | −0.542247 | + | 0.787786i | ||||
\(651\) | 23.4627 | − | 40.6386i | 0.919575 | − | 1.59275i | ||||
\(652\) | 0.987909 | − | 3.68693i | 0.0386895 | − | 0.144391i | ||||
\(653\) | 8.60772 | + | 5.40859i | 0.336846 | + | 0.211654i | 0.689824 | − | 0.723977i | \(-0.257688\pi\) |
−0.352978 | + | 0.935632i | \(0.614831\pi\) | |||||||
\(654\) | −2.20306 | + | 14.6163i | −0.0861463 | + | 0.571543i | ||||
\(655\) | −23.3436 | + | 18.5312i | −0.912109 | + | 0.724073i | ||||
\(656\) | 4.81268 | − | 6.03491i | 0.187904 | − | 0.235624i | ||||
\(657\) | 4.43115 | + | 0.838419i | 0.172876 | + | 0.0327098i | ||||
\(658\) | 32.7059 | + | 1.22377i | 1.27501 | + | 0.0477075i | ||||
\(659\) | 9.52157 | − | 0.713543i | 0.370908 | − | 0.0277957i | 0.112027 | − | 0.993705i | \(-0.464266\pi\) |
0.258880 | + | 0.965909i | \(0.416647\pi\) | |||||||
\(660\) | −11.7037 | + | 3.10813i | −0.455564 | + | 0.120984i | ||||
\(661\) | −0.861827 | + | 3.77591i | −0.0335212 | + | 0.146866i | −0.988919 | − | 0.148456i | \(-0.952570\pi\) |
0.955398 | + | 0.295322i | \(0.0954268\pi\) | |||||||
\(662\) | −10.3690 | + | 19.6192i | −0.403004 | + | 0.762520i | ||||
\(663\) | 56.6697 | − | 10.7225i | 2.20087 | − | 0.416427i | ||||
\(664\) | −10.2021 | + | 1.53772i | −0.395918 | + | 0.0596750i | ||||
\(665\) | 12.4729 | − | 19.7529i | 0.483677 | − | 0.765984i | ||||
\(666\) | 14.5793 | − | 7.02101i | 0.564936 | − | 0.272059i | ||||
\(667\) | −32.3024 | − | 11.3031i | −1.25075 | − | 0.437657i | ||||
\(668\) | 9.82222 | − | 22.5128i | 0.380033 | − | 0.871045i | ||||
\(669\) | −7.18458 | − | 47.6666i | −0.277772 | − | 1.84290i | ||||
\(670\) | −9.56644 | − | 8.91600i | −0.369584 | − | 0.344455i | ||||
\(671\) | 4.63577 | + | 15.0288i | 0.178962 | + | 0.580180i | ||||
\(672\) | 7.17283 | − | 4.50699i | 0.276698 | − | 0.173861i | ||||
\(673\) | −0.0925131 | − | 0.212042i | −0.00356612 | − | 0.00817363i | 0.914770 | − | 0.403975i | \(-0.132372\pi\) |
−0.918336 | + | 0.395801i | \(0.870467\pi\) | |||||||
\(674\) | 0.806718 | + | 10.7649i | 0.0310736 | + | 0.414649i | ||||
\(675\) | 37.5383 | + | 13.3228i | 1.44485 | + | 0.512794i | ||||
\(676\) | −8.90736 | + | 6.07294i | −0.342591 | + | 0.233574i | ||||
\(677\) | 36.4620 | − | 4.10828i | 1.40135 | − | 0.157894i | 0.621280 | − | 0.783589i | \(-0.286613\pi\) |
0.780068 | + | 0.625695i | \(0.215184\pi\) | |||||||
\(678\) | 36.7309 | − | 1.37437i | 1.41064 | − | 0.0527825i | ||||
\(679\) | −15.1534 | − | 2.28400i | −0.581533 | − | 0.0876520i | ||||
\(680\) | −8.94208 | + | 0.650139i | −0.342913 | + | 0.0249317i | ||||
\(681\) | −8.60896 | − | 14.9112i | −0.329896 | − | 0.571397i | ||||
\(682\) | 9.82335 | − | 2.63216i | 0.376155 | − | 0.100791i | ||||
\(683\) | −6.52560 | − | 12.3470i | −0.249695 | − | 0.472446i | 0.727126 | − | 0.686504i | \(-0.240856\pi\) |
−0.976821 | + | 0.214058i | \(0.931332\pi\) | |||||||
\(684\) | −12.9302 | − | 16.2139i | −0.494398 | − | 0.619955i | ||||
\(685\) | −41.2015 | + | 25.7611i | −1.57423 | + | 0.984282i | ||||
\(686\) | −14.8837 | − | 7.16763i | −0.568264 | − | 0.273661i | ||||
\(687\) | −24.9977 | − | 24.9977i | −0.953720 | − | 0.953720i | ||||
\(688\) | 2.99477 | + | 5.83364i | 0.114174 | + | 0.222405i | ||||
\(689\) | 11.6093i | 0.442280i | ||||||||
\(690\) | −6.56955 | − | 35.1483i | −0.250099 | − | 1.33807i | ||||
\(691\) | −26.9336 | − | 2.01839i | −1.02460 | − | 0.0767832i | −0.448186 | − | 0.893940i | \(-0.647930\pi\) |
−0.576415 | + | 0.817157i | \(0.695549\pi\) | |||||||
\(692\) | 11.2859 | + | 1.27162i | 0.429026 | + | 0.0483396i | ||||
\(693\) | −26.5747 | + | 14.0451i | −1.00949 | + | 0.533531i | ||||
\(694\) | 11.6910 | + | 6.74982i | 0.443786 | + | 0.256220i | ||||
\(695\) | −6.58841 | + | 2.56888i | −0.249913 | + | 0.0974433i | ||||
\(696\) | −18.1539 | + | 4.14352i | −0.688123 | + | 0.157060i | ||||
\(697\) | −24.9020 | + | 18.3785i | −0.943232 | + | 0.696137i | ||||
\(698\) | −0.742830 | − | 19.8526i | −0.0281165 | − | 0.751430i | ||||
\(699\) | −8.40717 | − | 6.70449i | −0.317988 | − | 0.253587i | ||||
\(700\) | 6.76610 | − | 12.6655i | 0.255734 | − | 0.478712i | ||||
\(701\) | −1.70914 | + | 1.58585i | −0.0645535 | + | 0.0598969i | −0.711790 | − | 0.702393i | \(-0.752115\pi\) |
0.647236 | + | 0.762289i | \(0.275925\pi\) | |||||||
\(702\) | 29.4464 | + | 25.3406i | 1.11138 | + | 0.956421i | ||||
\(703\) | −9.46447 | + | 4.12931i | −0.356959 | + | 0.155740i | ||||
\(704\) | 1.78990 | + | 0.408533i | 0.0674594 | + | 0.0153972i | ||||
\(705\) | −11.0378 | − | 74.3518i | −0.415708 | − | 2.80025i | ||||
\(706\) | −4.56939 | + | 6.70206i | −0.171971 | + | 0.252235i | ||||
\(707\) | 1.37438 | + | 1.01434i | 0.0516890 | + | 0.0381482i | ||||
\(708\) | 4.40421 | + | 1.92154i | 0.165520 | + | 0.0722157i | ||||
\(709\) | 17.6677 | + | 36.6873i | 0.663523 | + | 1.37782i | 0.912406 | + | 0.409286i | \(0.134222\pi\) |
−0.248883 | + | 0.968534i | \(0.580063\pi\) | |||||||
\(710\) | −17.6637 | + | 33.2423i | −0.662906 | + | 1.24756i | ||||
\(711\) | 18.8309 | + | 47.9803i | 0.706213 | + | 1.79940i | ||||
\(712\) | 7.01556 | − | 9.50575i | 0.262919 | − | 0.356243i | ||||
\(713\) | 5.58293 | + | 29.5065i | 0.209083 | + | 1.10503i | ||||
\(714\) | −32.4572 | + | 10.0117i | −1.21468 | + | 0.374679i | ||||
\(715\) | −18.3668 | + | 7.96484i | −0.686881 | + | 0.297868i | ||||
\(716\) | 8.75098 | + | 3.43451i | 0.327040 | + | 0.128354i | ||||
\(717\) | −24.5467 | + | 28.5238i | −0.916714 | + | 1.06524i | ||||
\(718\) | 1.10712 | − | 29.5885i | 0.0413175 | − | 1.10423i | ||||
\(719\) | 9.64432 | + | 14.1456i | 0.359673 | + | 0.527543i | 0.962840 | − | 0.270072i | \(-0.0870474\pi\) |
−0.603168 | + | 0.797614i | \(0.706095\pi\) | |||||||
\(720\) | −8.64959 | − | 9.36369i | −0.322351 | − | 0.348964i | ||||
\(721\) | −38.9307 | + | 41.9573i | −1.44985 | + | 1.56257i | ||||
\(722\) | −3.42411 | − | 4.63950i | −0.127432 | − | 0.172664i | ||||
\(723\) | −28.6245 | + | 45.5557i | −1.06456 | + | 1.69423i | ||||
\(724\) | −0.934407 | + | 0.539480i | −0.0347270 | + | 0.0200496i | ||||
\(725\) | −23.2331 | + | 21.3658i | −0.862855 | + | 0.793506i | ||||
\(726\) | 21.5046 | + | 6.63328i | 0.798109 | + | 0.246184i | ||||
\(727\) | −1.39018 | + | 12.3382i | −0.0515591 | + | 0.457599i | 0.941234 | + | 0.337756i | \(0.109668\pi\) |
−0.992793 | + | 0.119843i | \(0.961761\pi\) | |||||||
\(728\) | 10.6153 | − | 9.13524i | 0.393431 | − | 0.338575i | ||||
\(729\) | −14.7657 | + | 30.6613i | −0.546878 | + | 1.13560i | ||||
\(730\) | −1.74856 | − | 0.267528i | −0.0647172 | − | 0.00990166i | ||||
\(731\) | −5.54470 | − | 25.7012i | −0.205078 | − | 0.950595i | ||||
\(732\) | −17.8677 | + | 17.8677i | −0.660408 | + | 0.660408i | ||||
\(733\) | −35.0125 | + | 12.2514i | −1.29321 | + | 0.452515i | −0.887214 | − | 0.461358i | \(-0.847363\pi\) |
−0.406000 | + | 0.913873i | \(0.633077\pi\) | |||||||
\(734\) | 0.689530 | − | 9.20114i | 0.0254510 | − | 0.339620i | ||||
\(735\) | 2.14781 | − | 7.94508i | 0.0792232 | − | 0.293059i | ||||
\(736\) | −1.59793 | + | 5.18037i | −0.0589005 | + | 0.190951i | ||||
\(737\) | −2.77895 | − | 10.3712i | −0.102364 | − | 0.382027i | ||||
\(738\) | −42.5046 | − | 11.3891i | −1.56461 | − | 0.419237i | ||||
\(739\) | 10.7726 | + | 47.1979i | 0.396277 | + | 1.73620i | 0.641857 | + | 0.766825i | \(0.278164\pi\) |
−0.245580 | + | 0.969376i | \(0.578978\pi\) | |||||||
\(740\) | −5.61818 | + | 2.95334i | −0.206528 | + | 0.108567i | ||||
\(741\) | −38.3590 | − | 35.5919i | −1.40915 | − | 1.30750i | ||||
\(742\) | −0.765500 | − | 6.79400i | −0.0281024 | − | 0.249415i | ||||
\(743\) | −5.91800 | + | 31.2774i | −0.217110 | + | 1.14746i | 0.689112 | + | 0.724655i | \(0.258001\pi\) |
−0.906223 | + | 0.422801i | \(0.861047\pi\) | |||||||
\(744\) | 11.1137 | + | 11.9777i | 0.407447 | + | 0.439123i | ||||
\(745\) | 2.23348 | − | 28.9407i | 0.0818285 | − | 1.06031i | ||||
\(746\) | 2.15042 | − | 5.47918i | 0.0787324 | − | 0.200607i | ||||
\(747\) | 31.2924 | + | 49.8015i | 1.14493 | + | 1.82214i | ||||
\(748\) | −6.50824 | − | 3.43971i | −0.237965 | − | 0.125768i | ||||
\(749\) | −30.4569 | − | 20.7652i | −1.11287 | − | 0.758743i | ||||
\(750\) | −31.4481 | − | 9.93050i | −1.14832 | − | 0.362611i | ||||
\(751\) | 36.0548 | − | 14.1505i | 1.31566 | − | 0.516358i | 0.399338 | − | 0.916804i | \(-0.369240\pi\) |
0.916320 | + | 0.400446i | \(0.131145\pi\) | |||||||
\(752\) | −3.76393 | + | 10.7567i | −0.137257 | + | 0.392257i | ||||
\(753\) | 13.5693 | − | 38.7787i | 0.494492 | − | 1.41318i | ||||
\(754\) | −28.6564 | + | 11.2468i | −1.04361 | + | 0.409585i | ||||
\(755\) | 0.0394038 | − | 17.7337i | 0.00143405 | − | 0.645394i | ||||
\(756\) | −18.9035 | − | 12.8882i | −0.687513 | − | 0.468739i | ||||
\(757\) | 5.59019 | + | 2.95450i | 0.203179 | + | 0.107383i | 0.565763 | − | 0.824568i | \(-0.308582\pi\) |
−0.362584 | + | 0.931951i | \(0.618105\pi\) | |||||||
\(758\) | 11.2637 | + | 17.9261i | 0.409117 | + | 0.651106i | ||||
\(759\) | 10.7258 | − | 27.3289i | 0.389322 | − | 0.991977i | ||||
\(760\) | 5.29227 | + | 6.17744i | 0.191971 | + | 0.224079i | ||||
\(761\) | −24.9010 | − | 26.8369i | −0.902661 | − | 0.972837i | 0.0970869 | − | 0.995276i | \(-0.469048\pi\) |
−0.999748 | + | 0.0224384i | \(0.992857\pi\) | |||||||
\(762\) | −2.01550 | + | 10.6522i | −0.0730139 | + | 0.385888i | ||||
\(763\) | −1.61134 | − | 14.3010i | −0.0583344 | − | 0.517732i | ||||
\(764\) | 13.9668 | + | 12.9593i | 0.505302 | + | 0.468851i | ||||
\(765\) | 23.7822 | + | 45.2412i | 0.859849 | + | 1.63570i | ||||
\(766\) | 6.11501 | + | 26.7916i | 0.220944 | + | 0.968020i | ||||
\(767\) | 7.67330 | + | 2.05605i | 0.277067 | + | 0.0742398i | ||||
\(768\) | 0.763440 | + | 2.84920i | 0.0275483 | + | 0.102812i | ||||
\(769\) | −2.34450 | + | 7.60068i | −0.0845448 | + | 0.274088i | −0.987967 | − | 0.154664i | \(-0.950570\pi\) |
0.903422 | + | 0.428752i | \(0.141047\pi\) | |||||||
\(770\) | 10.2234 | − | 5.87226i | 0.368427 | − | 0.211621i | ||||
\(771\) | 1.65657 | − | 22.1054i | 0.0596599 | − | 0.796106i | ||||
\(772\) | 25.3192 | − | 8.85957i | 0.911258 | − | 0.318863i | ||||
\(773\) | 8.92931 | − | 8.92931i | 0.321165 | − | 0.321165i | −0.528049 | − | 0.849214i | \(-0.677076\pi\) |
0.849214 | + | 0.528049i | \(0.177076\pi\) | |||||||
\(774\) | 23.6543 | − | 28.9469i | 0.850236 | − | 1.04048i | ||||
\(775\) | 26.4298 | + | 8.28130i | 0.949385 | + | 0.297473i | ||||
\(776\) | 2.31521 | − | 4.80759i | 0.0831113 | − | 0.172582i | ||||
\(777\) | −18.2261 | + | 15.6848i | −0.653858 | + | 0.562691i | ||||
\(778\) | 3.98289 | − | 35.3492i | 0.142794 | − | 1.26733i | ||||
\(779\) | 26.8326 | + | 8.27677i | 0.961379 | + | 0.296546i | ||||
\(780\) | −25.1025 | − | 20.1100i | −0.898814 | − | 0.720054i | ||||
\(781\) | −26.7668 | + | 15.4538i | −0.957790 | + | 0.552980i | ||||
\(782\) | 11.5647 | − | 18.4050i | 0.413551 | − | 0.658163i | ||||
\(783\) | 29.8636 | + | 40.4637i | 1.06724 | + | 1.44605i | ||||
\(784\) | −0.848730 | + | 0.914713i | −0.0303118 | + | 0.0326683i | ||||
\(785\) | 4.60143 | + | 0.182413i | 0.164232 | + | 0.00651060i | ||||
\(786\) | −22.1481 | − | 32.4852i | −0.789995 | − | 1.15871i | ||||
\(787\) | 1.33590 | − | 35.7027i | 0.0476197 | − | 1.27266i | −0.746699 | − | 0.665162i | \(-0.768362\pi\) |
0.794319 | − | 0.607501i | \(-0.207828\pi\) | |||||||
\(788\) | −4.26977 | + | 4.96157i | −0.152104 | + | 0.176748i | ||||
\(789\) | −1.06608 | − | 0.418406i | −0.0379535 | − | 0.0148957i | ||||
\(790\) | −8.04355 | − | 18.5483i | −0.286177 | − | 0.659921i | ||||
\(791\) | −34.1971 | + | 10.5484i | −1.21591 | + | 0.375059i | ||||
\(792\) | −1.94579 | − | 10.2838i | −0.0691407 | − | 0.365418i | ||||
\(793\) | −24.8068 | + | 33.6120i | −0.880915 | + | 1.19360i | ||||
\(794\) | 11.7812 | + | 30.0181i | 0.418101 | + | 1.06530i | ||||
\(795\) | −15.0148 | + | 4.59494i | −0.532520 | + | 0.162966i | ||||
\(796\) | −2.50500 | − | 5.20169i | −0.0887875 | − | 0.184369i | ||||
\(797\) | 19.6115 | + | 8.55640i | 0.694674 | + | 0.303083i | 0.717403 | − | 0.696659i | \(-0.245331\pi\) |
−0.0227290 | + | 0.999742i | \(0.507235\pi\) | |||||||
\(798\) | 24.7953 | + | 18.2997i | 0.877743 | + | 0.647804i | ||||
\(799\) | 25.7404 | − | 37.7542i | 0.910628 | − | 1.33565i | ||||
\(800\) | 3.51979 | + | 3.55121i | 0.124443 | + | 0.125554i | ||||
\(801\) | −65.6619 | − | 14.9869i | −2.32005 | − | 0.529536i | ||||
\(802\) | 34.1785 | − | 14.9119i | 1.20688 | − | 0.526558i | ||||
\(803\) | −1.10085 | − | 0.947362i | −0.0388483 | − | 0.0334317i | ||||
\(804\) | 12.6457 | − | 11.7335i | 0.445978 | − | 0.413807i | ||||
\(805\) | 15.0354 | + | 31.3996i | 0.529928 | + | 1.10669i | ||||
\(806\) | 21.1195 | + | 16.8423i | 0.743903 | + | 0.593243i | ||||
\(807\) | 1.89125 | + | 50.5448i | 0.0665753 | + | 1.77926i | ||||
\(808\) | −0.478562 | + | 0.353195i | −0.0168358 | + | 0.0124254i | ||||
\(809\) | −38.9570 | + | 8.89167i | −1.36965 | + | 0.312615i | −0.843205 | − | 0.537592i | \(-0.819334\pi\) |
−0.526449 | + | 0.850207i | \(0.676477\pi\) | |||||||
\(810\) | −5.74877 | + | 13.0968i | −0.201991 | + | 0.460176i | ||||
\(811\) | −7.30993 | − | 4.22039i | −0.256686 | − | 0.148198i | 0.366136 | − | 0.930561i | \(-0.380681\pi\) |
−0.622822 | + | 0.782364i | \(0.714014\pi\) | |||||||
\(812\) | 16.0287 | − | 8.47141i | 0.562497 | − | 0.297288i | ||||
\(813\) | 28.3317 | + | 3.19221i | 0.993635 | + | 0.111956i | ||||
\(814\) | −5.19676 | − | 0.389444i | −0.182146 | − | 0.0136500i | ||||
\(815\) | 8.38975 | − | 1.56813i | 0.293880 | − | 0.0549290i | ||||
\(816\) | − | 11.8271i | − | 0.414030i | ||||||
\(817\) | −15.7746 | + | 17.8945i | −0.551883 | + | 0.626050i | ||||
\(818\) | 13.3745 | + | 13.3745i | 0.467629 | + | 0.467629i | ||||
\(819\) | −71.9324 | − | 34.6408i | −2.51352 | − | 1.21045i | ||||
\(820\) | 16.8188 | + | 3.87811i | 0.587337 | + | 0.135429i | ||||
\(821\) | 21.4134 | + | 26.8516i | 0.747334 | + | 0.937127i | 0.999533 | − | 0.0305483i | \(-0.00972535\pi\) |
−0.252200 | + | 0.967675i | \(0.581154\pi\) | |||||||
\(822\) | −29.9521 | − | 56.6721i | −1.04470 | − | 1.97667i | ||||
\(823\) | −11.3402 | + | 3.03860i | −0.395295 | + | 0.105919i | −0.450991 | − | 0.892529i | \(-0.648929\pi\) |
0.0556951 | + | 0.998448i | \(0.482263\pi\) | |||||||
\(824\) | −9.96491 | − | 17.2597i | −0.347144 | − | 0.601271i | ||||
\(825\) | −17.5708 | − | 20.6021i | −0.611737 | − | 0.717273i | ||||
\(826\) | −4.62613 | − | 0.697278i | −0.160964 | − | 0.0242614i | ||||
\(827\) | 19.2184 | − | 0.719102i | 0.668290 | − | 0.0250056i | 0.298906 | − | 0.954283i | \(-0.403378\pi\) |
0.369384 | + | 0.929277i | \(0.379569\pi\) | |||||||
\(828\) | 30.7108 | − | 3.46028i | 1.06727 | − | 0.120253i | ||||
\(829\) | 35.0639 | − | 23.9062i | 1.21782 | − | 0.830296i | 0.228145 | − | 0.973627i | \(-0.426734\pi\) |
0.989675 | + | 0.143331i | \(0.0457814\pi\) | |||||||
\(830\) | −12.9535 | − | 19.0904i | −0.449624 | − | 0.662636i | ||||
\(831\) | 1.72454 | + | 23.0124i | 0.0598237 | + | 0.798291i | ||||
\(832\) | 1.95009 | + | 4.46965i | 0.0676071 | + | 0.154957i | ||||
\(833\) | 4.23634 | − | 2.66187i | 0.146780 | − | 0.0922282i | ||||
\(834\) | −2.74959 | − | 8.91395i | −0.0952105 | − | 0.308665i | ||||
\(835\) | 54.8887 | − | 1.93167i | 1.89950 | − | 0.0668481i | ||||
\(836\) | 0.995423 | + | 6.60420i | 0.0344274 | + | 0.228411i | ||||
\(837\) | 17.6469 | − | 40.4472i | 0.609967 | − | 1.39806i | ||||
\(838\) | −13.1420 | − | 4.59857i | −0.453981 | − | 0.158855i | ||||
\(839\) | −16.4652 | + | 7.92923i | −0.568442 | + | 0.273747i | −0.695950 | − | 0.718090i | \(-0.745016\pi\) |
0.127508 | + | 0.991838i | \(0.459302\pi\) | |||||||
\(840\) | 16.0165 | + | 10.1135i | 0.552622 | + | 0.348950i | ||||
\(841\) | −10.7298 | + | 1.61726i | −0.369993 | + | 0.0557674i | ||||
\(842\) | 19.5375 | − | 3.69670i | 0.673308 | − | 0.127397i | ||||
\(843\) | 8.38428 | − | 15.8638i | 0.288770 | − | 0.546379i | ||||
\(844\) | 3.09078 | − | 13.5416i | 0.106389 | − | 0.466120i | ||||
\(845\) | −20.8497 | − | 12.0995i | −0.717253 | − | 0.416234i | ||||
\(846\) | 64.7856 | − | 4.85501i | 2.22738 | − | 0.166919i | ||||
\(847\) | −21.8954 | − | 0.819269i | −0.752336 | − | 0.0281504i | ||||
\(848\) | 2.33914 | + | 0.442590i | 0.0803266 | + | 0.0151986i | ||||
\(849\) | −3.57404 | + | 4.48170i | −0.122661 | + | 0.153812i | ||||
\(850\) | −9.94668 | − | 17.4063i | −0.341168 | − | 0.597032i | ||||
\(851\) | 2.29350 | − | 15.2164i | 0.0786202 | − | 0.521611i | ||||
\(852\) | −42.0465 | − | 26.4196i | −1.44049 | − | 0.905119i | ||||
\(853\) | 3.66636 | − | 13.6831i | 0.125534 | − | 0.468499i | −0.874324 | − | 0.485342i | \(-0.838695\pi\) |
0.999858 | + | 0.0168434i | \(0.00536168\pi\) | |||||||
\(854\) | 12.3011 | − | 21.3061i | 0.420935 | − | 0.729080i | ||||
\(855\) | 20.2131 | − | 41.7354i | 0.691272 | − | 1.42732i | ||||
\(856\) | 10.0352 | − | 8.00277i | 0.342995 | − | 0.273529i | ||||
\(857\) | −13.2520 | − | 15.3991i | −0.452681 | − | 0.526024i | 0.484536 | − | 0.874771i | \(-0.338988\pi\) |
−0.937217 | + | 0.348747i | \(0.886607\pi\) | |||||||
\(858\) | −8.72224 | − | 24.9267i | −0.297772 | − | 0.850984i | ||||
\(859\) | 44.4107 | 1.51527 | 0.757637 | − | 0.652676i | \(-0.226354\pi\) | ||||
0.757637 | + | 0.652676i | \(0.226354\pi\) | |||||||
\(860\) | −8.87307 | + | 11.6734i | −0.302569 | + | 0.398060i | ||||
\(861\) | 65.3892 | 2.22846 | ||||||||
\(862\) | −6.55832 | − | 18.7426i | −0.223377 | − | 0.638376i | ||||
\(863\) | 37.1266 | + | 43.1419i | 1.26380 | + | 1.46857i | 0.819916 | + | 0.572483i | \(0.194020\pi\) |
0.443887 | + | 0.896083i | \(0.353599\pi\) | |||||||
\(864\) | 6.22845 | − | 4.96702i | 0.211896 | − | 0.168982i | ||||
\(865\) | 8.33439 | + | 23.9892i | 0.283378 | + | 0.815657i | ||||
\(866\) | −1.12490 | + | 1.94839i | −0.0382258 | + | 0.0662091i | ||||
\(867\) | 0.704897 | − | 2.63071i | 0.0239396 | − | 0.0893437i | ||||
\(868\) | −13.4701 | − | 8.46382i | −0.457205 | − | 0.287281i | ||||
\(869\) | 2.47403 | − | 16.4141i | 0.0839256 | − | 0.556810i | ||||
\(870\) | −25.8881 | − | 32.6110i | −0.877688 | − | 1.10562i | ||||
\(871\) | 17.7815 | − | 22.2973i | 0.602504 | − | 0.755516i | ||||
\(872\) | 4.92379 | + | 0.931631i | 0.166740 | + | 0.0315490i | ||||
\(873\) | −30.3982 | − | 1.13742i | −1.02882 | − | 0.0384958i | ||||
\(874\) | −19.6663 | + | 1.47378i | −0.665222 | + | 0.0498515i | ||||
\(875\) | 32.0777 | + | 1.41444i | 1.08442 | + | 0.0478169i | ||||
\(876\) | 0.519243 | − | 2.27495i | 0.0175436 | − | 0.0768635i | ||||
\(877\) | 0.671686 | − | 1.27089i | 0.0226812 | − | 0.0429150i | −0.872514 | − | 0.488588i | \(-0.837512\pi\) |
0.895196 | + | 0.445674i | \(0.147036\pi\) | |||||||
\(878\) | −17.2942 | + | 3.27224i | −0.583650 | + | 0.110433i | ||||
\(879\) | −22.5378 | + | 3.39703i | −0.760181 | + | 0.114579i | ||||
\(880\) | 0.904612 | + | 4.00436i | 0.0304945 | + | 0.134987i | ||||
\(881\) | 11.8547 | − | 5.70894i | 0.399396 | − | 0.192339i | −0.223393 | − | 0.974728i | \(-0.571713\pi\) |
0.622790 | + | 0.782389i | \(0.285999\pi\) | |||||||
\(882\) | 6.71432 | + | 2.34944i | 0.226083 | + | 0.0791099i | ||||
\(883\) | −14.7392 | + | 33.7827i | −0.496014 | + | 1.13688i | 0.470995 | + | 0.882136i | \(0.343895\pi\) |
−0.967009 | + | 0.254741i | \(0.918010\pi\) | |||||||
\(884\) | −2.91420 | − | 19.3344i | −0.0980151 | − | 0.650288i | ||||
\(885\) | 0.377895 | + | 10.7380i | 0.0127028 | + | 0.360953i | ||||
\(886\) | 2.98352 | + | 9.67232i | 0.100233 | + | 0.324948i | ||||
\(887\) | −3.30167 | + | 2.07458i | −0.110859 | + | 0.0696575i | −0.586320 | − | 0.810079i | \(-0.699424\pi\) |
0.475461 | + | 0.879737i | \(0.342281\pi\) | |||||||
\(888\) | −3.34822 | − | 7.67421i | −0.112359 | − | 0.257530i | ||||
\(889\) | −0.788793 | − | 10.5257i | −0.0264553 | − | 0.353021i | ||||
\(890\) | 25.9460 | + | 4.96899i | 0.869713 | + | 0.166561i | ||||
\(891\) | −9.70295 | + | 6.61536i | −0.325061 | + | 0.221623i | ||||
\(892\) | −16.2395 | + | 1.82976i | −0.543740 | + | 0.0612648i | ||||
\(893\) | −41.4285 | + | 1.55014i | −1.38635 | + | 0.0518736i | ||||
\(894\) | 37.8630 | + | 5.70692i | 1.26633 | + | 0.190868i | ||||
\(895\) | 1.52431 | + | 20.9655i | 0.0509521 | + | 0.700801i | ||||
\(896\) | −1.43595 | − | 2.48714i | −0.0479717 | − | 0.0830895i | ||||
\(897\) | 75.3236 | − | 20.1829i | 2.51498 | − | 0.673887i | ||||
\(898\) | −0.559284 | − | 1.05822i | −0.0186635 | − | 0.0353131i | ||||
\(899\) | 21.8026 | + | 27.3396i | 0.727157 | + | 0.911826i | ||||
\(900\) | 10.5314 | − | 26.4870i | 0.351048 | − | 0.882899i | ||||
\(901\) | −8.60009 | − | 4.14159i | −0.286511 | − | 0.137976i | ||||
\(902\) | 10.0207 | + | 10.0207i | 0.333654 | + | 0.333654i | ||||
\(903\) | −22.8192 | + | 50.6465i | −0.759376 | + | 1.68541i | ||||
\(904\) | − | 12.4611i | − | 0.414450i | ||||||
\(905\) | −1.99038 | − | 1.36351i | −0.0661626 | − | 0.0453245i | ||||
\(906\) | 23.3280 | + | 1.74819i | 0.775021 | + | 0.0580798i | ||||
\(907\) | 14.7111 | + | 1.65754i | 0.488475 | + | 0.0550379i | 0.352767 | − | 0.935711i | \(-0.385241\pi\) |
0.135707 | + | 0.990749i | \(0.456669\pi\) | |||||||
\(908\) | −5.16072 | + | 2.72752i | −0.171265 | + | 0.0905160i | ||||
\(909\) | 2.93646 | + | 1.69537i | 0.0973962 | + | 0.0562317i | ||||
\(910\) | 28.6751 | + | 12.5868i | 0.950572 | + | 0.417247i | ||||
\(911\) | 30.4247 | − | 6.94423i | 1.00801 | − | 0.230073i | 0.313528 | − | 0.949579i | \(-0.398489\pi\) |
0.694486 | + | 0.719506i | \(0.255632\pi\) | |||||||
\(912\) | −8.63375 | + | 6.37200i | −0.285892 | + | 0.210998i | ||||
\(913\) | −0.708260 | − | 18.9286i | −0.0234400 | − | 0.626447i | ||||
\(914\) | 3.93868 | + | 3.14100i | 0.130280 | + | 0.103895i | ||||
\(915\) | −53.2902 | − | 18.7801i | −1.76172 | − | 0.620850i | ||||
\(916\) | −8.78558 | + | 8.15182i | −0.290284 | + | 0.269344i | ||||
\(917\) | 29.0151 | + | 24.9695i | 0.958163 | + | 0.824566i | ||||
\(918\) | −29.2770 | + | 12.7734i | −0.966286 | + | 0.421586i | ||||
\(919\) | −16.6244 | − | 3.79441i | −0.548388 | − | 0.125166i | −0.0606551 | − | 0.998159i | \(-0.519319\pi\) |
−0.487733 | + | 0.872993i | \(0.662176\pi\) | |||||||
\(920\) | −11.9908 | + | 1.78008i | −0.395325 | + | 0.0586876i | ||||
\(921\) | −34.0625 | + | 49.9606i | −1.12240 | + | 1.64626i | ||||
\(922\) | −2.94266 | − | 2.17178i | −0.0969112 | − | 0.0715237i | ||||
\(923\) | −75.2458 | − | 32.8294i | −2.47675 | − | 1.08059i | ||||
\(924\) | 6.74805 | + | 14.0125i | 0.221994 | + | 0.460976i | ||||
\(925\) | −11.3818 | − | 8.47853i | −0.374231 | − | 0.278772i | ||||
\(926\) | −13.9340 | − | 35.5033i | −0.457900 | − | 1.16671i | ||||
\(927\) | −67.4671 | + | 91.4147i | −2.21591 | + | 3.00245i | ||||
\(928\) | 1.17362 | + | 6.20271i | 0.0385258 | + | 0.203614i | ||||
\(929\) | 9.72398 | − | 2.99945i | 0.319033 | − | 0.0984088i | −0.131103 | − | 0.991369i | \(-0.541852\pi\) |
0.450136 | + | 0.892960i | \(0.351376\pi\) | |||||||
\(930\) | −13.4237 | + | 33.9808i | −0.440181 | + | 1.11428i | ||||
\(931\) | −4.22554 | − | 1.65840i | −0.138487 | − | 0.0543520i | ||||
\(932\) | −2.37792 | + | 2.76319i | −0.0778913 | + | 0.0905113i | ||||
\(933\) | 3.34956 | − | 89.5190i | 0.109660 | − | 2.93072i | ||||
\(934\) | 17.9884 | + | 26.3841i | 0.588599 | + | 0.863316i | ||||
\(935\) | 0.652020 | − | 16.4475i | 0.0213233 | − | 0.537889i | ||||
\(936\) | 18.9088 | − | 20.3789i | 0.618054 | − | 0.666104i | ||||
\(937\) | −19.4774 | − | 26.3909i | −0.636298 | − | 0.862153i | 0.361226 | − | 0.932478i | \(-0.382358\pi\) |
−0.997524 | + | 0.0703253i | \(0.977596\pi\) | |||||||
\(938\) | −8.93584 | + | 14.2213i | −0.291765 | + | 0.464342i | ||||
\(939\) | −74.7176 | + | 43.1382i | −2.43832 | + | 1.40776i | ||||
\(940\) | −25.3288 | + | 2.79689i | −0.826134 | + | 0.0912244i | ||||
\(941\) | 22.4326 | + | 6.91953i | 0.731281 | + | 0.225570i | 0.637964 | − | 0.770066i | \(-0.279777\pi\) |
0.0933169 | + | 0.995636i | \(0.470253\pi\) | |||||||
\(942\) | −0.680156 | + | 6.03655i | −0.0221607 | + | 0.196681i | ||||
\(943\) | −31.7181 | + | 27.2957i | −1.03288 | + | 0.888869i | ||||
\(944\) | 0.706806 | − | 1.46770i | 0.0230046 | − | 0.0477695i | ||||
\(945\) | 7.73723 | − | 50.5705i | 0.251692 | − | 1.64506i | ||||
\(946\) | −11.2584 | + | 4.26446i | −0.366043 | + | 0.138649i | ||||
\(947\) | 14.5739 | − | 14.5739i | 0.473587 | − | 0.473587i | −0.429486 | − | 0.903073i | \(-0.641305\pi\) |
0.903073 | + | 0.429486i | \(0.141305\pi\) | |||||||
\(948\) | 25.1730 | − | 8.80843i | 0.817583 | − | 0.286085i | ||||
\(949\) | 0.288289 | − | 3.84695i | 0.00935825 | − | 0.124877i | ||||
\(950\) | −7.34770 | + | 16.6390i | −0.238391 | + | 0.539840i | ||||
\(951\) | 21.0778 | − | 68.3327i | 0.683496 | − | 2.21584i | ||||
\(952\) | 2.98033 | + | 11.1227i | 0.0965930 | + | 0.360490i | ||||
\(953\) | 0.773446 | + | 0.207244i | 0.0250544 | + | 0.00671330i | 0.271324 | − | 0.962488i | \(-0.412538\pi\) |
−0.246270 | + | 0.969201i | \(0.579205\pi\) | |||||||
\(954\) | −3.01995 | − | 13.2313i | −0.0977745 | − | 0.428378i | ||||
\(955\) | −12.6481 | + | 40.6830i | −0.409283 | + | 1.31647i | ||||
\(956\) | 9.35213 | + | 8.67750i | 0.302469 | + | 0.280651i | ||||
\(957\) | −3.82767 | − | 33.9716i | −0.123731 | − | 1.09814i | ||||
\(958\) | 3.30577 | − | 17.4714i | 0.106805 | − | 0.564475i | ||||
\(959\) | 42.4493 | + | 45.7494i | 1.37076 | + | 1.47733i | ||||
\(960\) | −5.00894 | + | 4.29120i | −0.161663 | + | 0.138498i | ||||
\(961\) | −0.115274 | + | 0.293712i | −0.00371850 | + | 0.00947458i | ||||
\(962\) | −7.36448 | − | 11.7205i | −0.237440 | − | 0.377884i | ||||
\(963\) | −64.6925 | − | 34.1910i | −2.08469 | − | 1.10179i | ||||
\(964\) | 15.0705 | + | 10.2749i | 0.485388 | + | 0.330932i | ||||
\(965\) | 42.3189 | + | 42.5074i | 1.36229 | + | 1.36836i | ||||
\(966\) | −42.7500 | + | 16.7781i | −1.37546 | + | 0.539827i | ||||
\(967\) | −0.155734 | + | 0.445061i | −0.00500805 | + | 0.0143122i | −0.946360 | − | 0.323113i | \(-0.895270\pi\) |
0.941352 | + | 0.337426i | \(0.109556\pi\) | |||||||
\(968\) | 2.51982 | − | 7.20122i | 0.0809900 | − | 0.231456i | ||||
\(969\) | 40.0507 | − | 15.7187i | 1.28661 | − | 0.504958i | ||||
\(970\) | 11.9317 | + | 0.0265119i | 0.383103 | + | 0.000851245i | ||||
\(971\) | 11.1952 | + | 7.63278i | 0.359272 | + | 0.244948i | 0.729481 | − | 0.684001i | \(-0.239762\pi\) |
−0.370209 | + | 0.928948i | \(0.620714\pi\) | |||||||
\(972\) | 4.44859 | + | 2.35115i | 0.142689 | + | 0.0754132i | ||||
\(973\) | 4.83209 | + | 7.69022i | 0.154910 | + | 0.246537i | ||||
\(974\) | 0.656000 | − | 1.67146i | 0.0210196 | − | 0.0535571i | ||||
\(975\) | 16.3155 | − | 70.0467i | 0.522516 | − | 2.24329i | ||||
\(976\) | 5.82671 | + | 6.27970i | 0.186508 | + | 0.201008i | ||||
\(977\) | −2.64430 | + | 13.9754i | −0.0845985 | + | 0.447114i | 0.914497 | + | 0.404593i | \(0.132587\pi\) |
−0.999096 | + | 0.0425213i | \(0.986461\pi\) | |||||||
\(978\) | 1.26061 | + | 11.1882i | 0.0403098 | + | 0.357759i | ||||
\(979\) | 15.9001 | + | 14.7531i | 0.508168 | + | 0.471511i | ||||
\(980\) | −2.66440 | − | 0.828348i | −0.0851113 | − | 0.0264606i | ||||
\(981\) | −6.35685 | − | 27.8512i | −0.202959 | − | 0.889219i | ||||
\(982\) | −6.07232 | − | 1.62707i | −0.193775 | − | 0.0519220i | ||||
\(983\) | −7.12185 | − | 26.5791i | −0.227152 | − | 0.847741i | −0.981531 | − | 0.191303i | \(-0.938729\pi\) |
0.754379 | − | 0.656439i | \(-0.227938\pi\) | |||||||
\(984\) | −6.71117 | + | 21.7571i | −0.213944 | + | 0.693590i | ||||
\(985\) | −14.1298 | − | 3.81973i | −0.450212 | − | 0.121707i | ||||
\(986\) | 1.89153 | − | 25.2407i | 0.0602386 | − | 0.803828i | ||||
\(987\) | −91.1229 | + | 31.8853i | −2.90048 | + | 1.01492i | ||||
\(988\) | −12.5441 | + | 12.5441i | −0.399080 | + | 0.399080i | ||||
\(989\) | −10.0727 | − | 34.0924i | −0.320293 | − | 1.08408i | ||||
\(990\) | 18.8610 | − | 13.8554i | 0.599442 | − | 0.440354i | ||||
\(991\) | −20.7878 | + | 43.1663i | −0.660346 | + | 1.37122i | 0.254362 | + | 0.967109i | \(0.418134\pi\) |
−0.914709 | + | 0.404114i | \(0.867580\pi\) | |||||||
\(992\) | 4.19868 | − | 3.61325i | 0.133308 | − | 0.114721i | ||||
\(993\) | 7.32876 | − | 65.0446i | 0.232571 | − | 2.06413i | ||||
\(994\) | 46.2000 | + | 14.2508i | 1.46538 | + | 0.452008i | ||||
\(995\) | 8.07154 | − | 10.0754i | 0.255885 | − | 0.319411i | ||||
\(996\) | 26.3558 | − | 15.2165i | 0.835116 | − | 0.482155i | ||||
\(997\) | 29.5239 | − | 46.9870i | 0.935030 | − | 1.48809i | 0.0633653 | − | 0.997990i | \(-0.479817\pi\) |
0.871665 | − | 0.490102i | \(-0.163040\pi\) | |||||||
\(998\) | −9.50105 | − | 12.8735i | −0.300750 | − | 0.407502i | ||||
\(999\) | −15.3808 | + | 16.5766i | −0.486627 | + | 0.524459i |
(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 | 430.2.x.a.3.12 | ✓ | 528 | |
5.2 | odd | 4 | inner | 430.2.x.a.347.1 | yes | 528 | |
43.29 | odd | 42 | inner | 430.2.x.a.373.1 | yes | 528 | |
215.72 | even | 84 | inner | 430.2.x.a.287.12 | yes | 528 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.x.a.3.12 | ✓ | 528 | 1.1 | even | 1 | trivial | |
430.2.x.a.287.12 | yes | 528 | 215.72 | even | 84 | inner | |
430.2.x.a.347.1 | yes | 528 | 5.2 | odd | 4 | inner | |
430.2.x.a.373.1 | yes | 528 | 43.29 | odd | 42 | inner |