Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(190,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.190");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.d (of order \(7\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.71541880999\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{14})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 574.1 | ||
Root | \(0.222521 + 0.974928i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 841.574 |
Dual form | 841.2.d.d.778.1 |
$q$-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 \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.12349 | − | 1.40881i | 0.794427 | − | 0.996180i | −0.205419 | − | 0.978674i | \(-0.565856\pi\) |
0.999847 | − | 0.0175063i | \(-0.00557270\pi\) | |||||||
\(3\) | 0.0990311 | − | 0.433884i | 0.0571757 | − | 0.250503i | −0.938261 | − | 0.345928i | \(-0.887564\pi\) |
0.995437 | + | 0.0954255i | \(0.0304212\pi\) | |||||||
\(4\) | −0.277479 | − | 1.21572i | −0.138740 | − | 0.607858i | ||||
\(5\) | 0.222521 | − | 0.279032i | 0.0995144 | − | 0.124787i | −0.729581 | − | 0.683895i | \(-0.760285\pi\) |
0.829095 | + | 0.559108i | \(0.188856\pi\) | |||||||
\(6\) | −0.500000 | − | 0.626980i | −0.204124 | − | 0.255964i | ||||
\(7\) | 0.900969 | − | 3.94740i | 0.340534 | − | 1.49198i | −0.457415 | − | 0.889253i | \(-0.651225\pi\) |
0.797949 | − | 0.602725i | \(-0.205918\pi\) | |||||||
\(8\) | 1.22252 | + | 0.588735i | 0.432226 | + | 0.208149i | ||||
\(9\) | 2.52446 | + | 1.21572i | 0.841486 | + | 0.405238i | ||||
\(10\) | −0.143104 | − | 0.626980i | −0.0452535 | − | 0.198269i | ||||
\(11\) | 2.62349 | − | 1.26341i | 0.791012 | − | 0.380931i | 0.00566249 | − | 0.999984i | \(-0.498198\pi\) |
0.785349 | + | 0.619053i | \(0.212483\pi\) | |||||||
\(12\) | −0.554958 | −0.160203 | ||||||||
\(13\) | −4.67241 | + | 2.25011i | −1.29589 | + | 0.624069i | −0.949425 | − | 0.313993i | \(-0.898333\pi\) |
−0.346467 | + | 0.938062i | \(0.612619\pi\) | |||||||
\(14\) | −4.54892 | − | 5.70416i | −1.21575 | − | 1.52450i | ||||
\(15\) | −0.0990311 | − | 0.124181i | −0.0255697 | − | 0.0320634i | ||||
\(16\) | 4.44989 | − | 2.14295i | 1.11247 | − | 0.535738i | ||||
\(17\) | −1.10992 | −0.269194 | −0.134597 | − | 0.990900i | \(-0.542974\pi\) | ||||
−0.134597 | + | 0.990900i | \(0.542974\pi\) | |||||||
\(18\) | 4.54892 | − | 2.19064i | 1.07219 | − | 0.516340i | ||||
\(19\) | 0.455927 | + | 1.99755i | 0.104597 | + | 0.458269i | 0.999917 | + | 0.0128465i | \(0.00408927\pi\) |
−0.895321 | + | 0.445422i | \(0.853054\pi\) | |||||||
\(20\) | −0.400969 | − | 0.193096i | −0.0896594 | − | 0.0431777i | ||||
\(21\) | −1.62349 | − | 0.781831i | −0.354275 | − | 0.170610i | ||||
\(22\) | 1.16756 | − | 5.11543i | 0.248925 | − | 1.09061i | ||||
\(23\) | −2.57942 | − | 3.23449i | −0.537846 | − | 0.674437i | 0.436445 | − | 0.899731i | \(-0.356237\pi\) |
−0.974291 | + | 0.225294i | \(0.927666\pi\) | |||||||
\(24\) | 0.376510 | − | 0.472129i | 0.0768548 | − | 0.0963729i | ||||
\(25\) | 1.08426 | + | 4.75046i | 0.216852 | + | 0.950092i | ||||
\(26\) | −2.07942 | + | 9.11052i | −0.407807 | + | 1.78672i | ||||
\(27\) | 1.60992 | − | 2.01877i | 0.309829 | − | 0.388513i | ||||
\(28\) | −5.04892 | −0.954156 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | −0.286208 | −0.0522542 | ||||||||
\(31\) | 3.96346 | − | 4.97002i | 0.711858 | − | 0.892642i | −0.285988 | − | 0.958233i | \(-0.592322\pi\) |
0.997847 | + | 0.0655910i | \(0.0208932\pi\) | |||||||
\(32\) | 1.37651 | − | 6.03089i | 0.243335 | − | 1.06612i | ||||
\(33\) | −0.288364 | − | 1.26341i | −0.0501978 | − | 0.219931i | ||||
\(34\) | −1.24698 | + | 1.56366i | −0.213855 | + | 0.268166i | ||||
\(35\) | −0.900969 | − | 1.12978i | −0.152292 | − | 0.190968i | ||||
\(36\) | 0.777479 | − | 3.40636i | 0.129580 | − | 0.567726i | ||||
\(37\) | −2.62349 | − | 1.26341i | −0.431299 | − | 0.207703i | 0.205622 | − | 0.978631i | \(-0.434078\pi\) |
−0.636921 | + | 0.770929i | \(0.719792\pi\) | |||||||
\(38\) | 3.32640 | + | 1.60191i | 0.539613 | + | 0.259864i | ||||
\(39\) | 0.513574 | + | 2.25011i | 0.0822376 | + | 0.360306i | ||||
\(40\) | 0.436313 | − | 0.210117i | 0.0689871 | − | 0.0332224i | ||||
\(41\) | −0.396125 | −0.0618643 | −0.0309321 | − | 0.999521i | \(-0.509848\pi\) | ||||
−0.0309321 | + | 0.999521i | \(0.509848\pi\) | |||||||
\(42\) | −2.92543 | + | 1.40881i | −0.451403 | + | 0.217384i | ||||
\(43\) | −3.57942 | − | 4.48845i | −0.545856 | − | 0.684482i | 0.430017 | − | 0.902821i | \(-0.358508\pi\) |
−0.975873 | + | 0.218339i | \(0.929936\pi\) | |||||||
\(44\) | −2.26391 | − | 2.83885i | −0.341297 | − | 0.427972i | ||||
\(45\) | 0.900969 | − | 0.433884i | 0.134309 | − | 0.0646796i | ||||
\(46\) | −7.45473 | −1.09914 | ||||||||
\(47\) | −7.02930 | + | 3.38513i | −1.02533 | + | 0.493773i | −0.869459 | − | 0.494005i | \(-0.835532\pi\) |
−0.155870 | + | 0.987778i | \(0.549818\pi\) | |||||||
\(48\) | −0.489115 | − | 2.14295i | −0.0705977 | − | 0.309309i | ||||
\(49\) | −8.46346 | − | 4.07579i | −1.20907 | − | 0.582255i | ||||
\(50\) | 7.91066 | + | 3.80957i | 1.11874 | + | 0.538755i | ||||
\(51\) | −0.109916 | + | 0.481575i | −0.0153914 | + | 0.0674339i | ||||
\(52\) | 4.03199 | + | 5.05596i | 0.559137 | + | 0.701135i | ||||
\(53\) | −2.71648 | + | 3.40636i | −0.373137 | + | 0.467899i | −0.932577 | − | 0.360972i | \(-0.882445\pi\) |
0.559439 | + | 0.828871i | \(0.311016\pi\) | |||||||
\(54\) | −1.03534 | − | 4.53614i | −0.140892 | − | 0.617290i | ||||
\(55\) | 0.231250 | − | 1.01317i | 0.0311818 | − | 0.136616i | ||||
\(56\) | 3.42543 | − | 4.29535i | 0.457742 | − | 0.573990i | ||||
\(57\) | 0.911854 | 0.120778 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −9.10992 | −1.18601 | −0.593005 | − | 0.805199i | \(-0.702059\pi\) | ||||
−0.593005 | + | 0.805199i | \(0.702059\pi\) | |||||||
\(60\) | −0.123490 | + | 0.154851i | −0.0159425 | + | 0.0199912i | ||||
\(61\) | −1.34601 | + | 5.89726i | −0.172339 | + | 0.755067i | 0.812693 | + | 0.582693i | \(0.198001\pi\) |
−0.985032 | + | 0.172374i | \(0.944856\pi\) | |||||||
\(62\) | −2.54892 | − | 11.1675i | −0.323713 | − | 1.41828i | ||||
\(63\) | 7.07338 | − | 8.86973i | 0.891162 | − | 1.11748i | ||||
\(64\) | −0.791053 | − | 0.991949i | −0.0988816 | − | 0.123994i | ||||
\(65\) | −0.411854 | + | 1.80445i | −0.0510842 | + | 0.223815i | ||||
\(66\) | −2.10388 | − | 1.01317i | −0.258969 | − | 0.124713i | ||||
\(67\) | −0.337282 | − | 0.162426i | −0.0412055 | − | 0.0198435i | 0.413168 | − | 0.910655i | \(-0.364422\pi\) |
−0.454373 | + | 0.890812i | \(0.650137\pi\) | |||||||
\(68\) | 0.307979 | + | 1.34934i | 0.0373479 | + | 0.163632i | ||||
\(69\) | −1.65883 | + | 0.798852i | −0.199700 | + | 0.0961705i | ||||
\(70\) | −2.60388 | −0.311223 | ||||||||
\(71\) | 10.2763 | − | 4.94880i | 1.21957 | − | 0.587314i | 0.290379 | − | 0.956912i | \(-0.406219\pi\) |
0.929192 | + | 0.369598i | \(0.120505\pi\) | |||||||
\(72\) | 2.37047 | + | 2.97247i | 0.279362 | + | 0.350309i | ||||
\(73\) | 5.57942 | + | 6.99637i | 0.653021 | + | 0.818863i | 0.992563 | − | 0.121728i | \(-0.0388436\pi\) |
−0.339542 | + | 0.940591i | \(0.610272\pi\) | |||||||
\(74\) | −4.72737 | + | 2.27658i | −0.549545 | + | 0.264647i | ||||
\(75\) | 2.16852 | 0.250399 | ||||||||
\(76\) | 2.30194 | − | 1.10855i | 0.264050 | − | 0.127160i | ||||
\(77\) | −2.62349 | − | 11.4943i | −0.298974 | − | 1.30989i | ||||
\(78\) | 3.74698 | + | 1.80445i | 0.424262 | + | 0.204314i | ||||
\(79\) | −0.535344 | − | 0.257808i | −0.0602309 | − | 0.0290057i | 0.403526 | − | 0.914968i | \(-0.367785\pi\) |
−0.463757 | + | 0.885963i | \(0.653499\pi\) | |||||||
\(80\) | 0.392240 | − | 1.71851i | 0.0438537 | − | 0.192136i | ||||
\(81\) | 4.52446 | + | 5.67349i | 0.502718 | + | 0.630388i | ||||
\(82\) | −0.445042 | + | 0.558065i | −0.0491467 | + | 0.0616280i | ||||
\(83\) | 2.09903 | + | 9.19646i | 0.230399 | + | 1.00944i | 0.949310 | + | 0.314341i | \(0.101783\pi\) |
−0.718912 | + | 0.695101i | \(0.755359\pi\) | |||||||
\(84\) | −0.500000 | + | 2.19064i | −0.0545545 | + | 0.239019i | ||||
\(85\) | −0.246980 | + | 0.309703i | −0.0267887 | + | 0.0335920i | ||||
\(86\) | −10.3448 | −1.11551 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.95108 | 0.421187 | ||||||||
\(89\) | −0.887395 | + | 1.11276i | −0.0940637 | + | 0.117952i | −0.826636 | − | 0.562737i | \(-0.809748\pi\) |
0.732572 | + | 0.680689i | \(0.238320\pi\) | |||||||
\(90\) | 0.400969 | − | 1.75676i | 0.0422658 | − | 0.185179i | ||||
\(91\) | 4.67241 | + | 20.4712i | 0.489801 | + | 2.14596i | ||||
\(92\) | −3.21648 | + | 4.03334i | −0.335341 | + | 0.420505i | ||||
\(93\) | −1.76391 | − | 2.21187i | −0.182908 | − | 0.229360i | ||||
\(94\) | −3.12833 | + | 13.7061i | −0.322663 | + | 1.41368i | ||||
\(95\) | 0.658834 | + | 0.317278i | 0.0675949 | + | 0.0325520i | ||||
\(96\) | −2.48039 | − | 1.19449i | −0.253153 | − | 0.121912i | ||||
\(97\) | 3.50484 | + | 15.3557i | 0.355863 | + | 1.55914i | 0.763386 | + | 0.645943i | \(0.223536\pi\) |
−0.407523 | + | 0.913195i | \(0.633607\pi\) | |||||||
\(98\) | −15.2506 | + | 7.34432i | −1.54055 | + | 0.741888i | ||||
\(99\) | 8.15883 | 0.819994 | ||||||||
\(100\) | 5.47434 | − | 2.63631i | 0.547434 | − | 0.263631i | ||||
\(101\) | 10.8753 | + | 13.6372i | 1.08213 | + | 1.35695i | 0.929564 | + | 0.368661i | \(0.120184\pi\) |
0.152570 | + | 0.988293i | \(0.451245\pi\) | |||||||
\(102\) | 0.554958 | + | 0.695895i | 0.0549490 | + | 0.0689039i | ||||
\(103\) | 2.53534 | − | 1.22096i | 0.249815 | − | 0.120304i | −0.304786 | − | 0.952421i | \(-0.598585\pi\) |
0.554601 | + | 0.832116i | \(0.312871\pi\) | |||||||
\(104\) | −7.03684 | −0.690019 | ||||||||
\(105\) | −0.579417 | + | 0.279032i | −0.0565453 | + | 0.0272308i | ||||
\(106\) | 1.74698 | + | 7.65402i | 0.169682 | + | 0.743424i | ||||
\(107\) | 6.72132 | + | 3.23682i | 0.649775 | + | 0.312915i | 0.729580 | − | 0.683895i | \(-0.239716\pi\) |
−0.0798052 | + | 0.996810i | \(0.525430\pi\) | |||||||
\(108\) | −2.90097 | − | 1.39703i | −0.279146 | − | 0.134430i | ||||
\(109\) | 0.367781 | − | 1.61135i | 0.0352270 | − | 0.154340i | −0.954255 | − | 0.298993i | \(-0.903349\pi\) |
0.989482 | + | 0.144653i | \(0.0462066\pi\) | |||||||
\(110\) | −1.16756 | − | 1.46408i | −0.111323 | − | 0.139594i | ||||
\(111\) | −0.807979 | + | 1.01317i | −0.0766899 | + | 0.0961661i | ||||
\(112\) | −4.44989 | − | 19.4962i | −0.420475 | − | 1.84222i | ||||
\(113\) | 1.92274 | − | 8.42407i | 0.180876 | − | 0.792470i | −0.800338 | − | 0.599549i | \(-0.795347\pi\) |
0.981214 | − | 0.192921i | \(-0.0617961\pi\) | |||||||
\(114\) | 1.02446 | − | 1.28463i | 0.0959493 | − | 0.120317i | ||||
\(115\) | −1.47650 | −0.137684 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −14.5308 | −1.34337 | ||||||||
\(118\) | −10.2349 | + | 12.8342i | −0.942199 | + | 1.18148i | ||||
\(119\) | −1.00000 | + | 4.38129i | −0.0916698 | + | 0.401632i | ||||
\(120\) | −0.0479579 | − | 0.210117i | −0.00437793 | − | 0.0191810i | ||||
\(121\) | −1.57188 | + | 1.97108i | −0.142899 | + | 0.179189i | ||||
\(122\) | 6.79590 | + | 8.52179i | 0.615272 | + | 0.771526i | ||||
\(123\) | −0.0392287 | + | 0.171872i | −0.00353713 | + | 0.0154972i | ||||
\(124\) | −7.14191 | − | 3.43936i | −0.641362 | − | 0.308864i | ||||
\(125\) | 3.17456 | + | 1.52879i | 0.283942 | + | 0.136739i | ||||
\(126\) | −4.54892 | − | 19.9301i | −0.405250 | − | 1.77552i | ||||
\(127\) | 9.43512 | − | 4.54371i | 0.837231 | − | 0.403189i | 0.0344090 | − | 0.999408i | \(-0.489045\pi\) |
0.802822 | + | 0.596219i | \(0.203331\pi\) | |||||||
\(128\) | 10.0858 | 0.891463 | ||||||||
\(129\) | −2.30194 | + | 1.10855i | −0.202674 | + | 0.0976028i | ||||
\(130\) | 2.07942 | + | 2.60751i | 0.182377 | + | 0.228693i | ||||
\(131\) | 0.283520 | + | 0.355523i | 0.0247712 | + | 0.0310622i | 0.794063 | − | 0.607836i | \(-0.207962\pi\) |
−0.769292 | + | 0.638898i | \(0.779391\pi\) | |||||||
\(132\) | −1.45593 | + | 0.701137i | −0.126722 | + | 0.0610262i | ||||
\(133\) | 8.29590 | 0.719345 | ||||||||
\(134\) | −0.607760 | + | 0.292682i | −0.0525025 | + | 0.0252839i | ||||
\(135\) | −0.205063 | − | 0.898438i | −0.0176490 | − | 0.0773252i | ||||
\(136\) | −1.35690 | − | 0.653447i | −0.116353 | − | 0.0560326i | ||||
\(137\) | −11.9291 | − | 5.74474i | −1.01917 | − | 0.490806i | −0.151769 | − | 0.988416i | \(-0.548497\pi\) |
−0.867401 | + | 0.497610i | \(0.834211\pi\) | |||||||
\(138\) | −0.738250 | + | 3.23449i | −0.0628440 | + | 0.275338i | ||||
\(139\) | −1.74363 | − | 2.18644i | −0.147893 | − | 0.185451i | 0.702367 | − | 0.711815i | \(-0.252127\pi\) |
−0.850260 | + | 0.526364i | \(0.823555\pi\) | |||||||
\(140\) | −1.12349 | + | 1.40881i | −0.0949522 | + | 0.119066i | ||||
\(141\) | 0.772635 | + | 3.38513i | 0.0650676 | + | 0.285080i | ||||
\(142\) | 4.57338 | − | 20.0373i | 0.383789 | − | 1.68149i | ||||
\(143\) | −9.41521 | + | 11.8063i | −0.787339 | + | 0.987292i | ||||
\(144\) | 13.8388 | 1.15323 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 16.1250 | 1.33451 | ||||||||
\(147\) | −2.60656 | + | 3.26853i | −0.214986 | + | 0.269584i | ||||
\(148\) | −0.807979 | + | 3.53999i | −0.0664154 | + | 0.290985i | ||||
\(149\) | −0.602679 | − | 2.64051i | −0.0493734 | − | 0.216319i | 0.944223 | − | 0.329307i | \(-0.106815\pi\) |
−0.993596 | + | 0.112988i | \(0.963958\pi\) | |||||||
\(150\) | 2.43631 | − | 3.05504i | 0.198924 | − | 0.249443i | ||||
\(151\) | −1.51842 | − | 1.90404i | −0.123567 | − | 0.154948i | 0.716200 | − | 0.697895i | \(-0.245880\pi\) |
−0.839767 | + | 0.542947i | \(0.817308\pi\) | |||||||
\(152\) | −0.618645 | + | 2.71046i | −0.0501788 | + | 0.219848i | ||||
\(153\) | −2.80194 | − | 1.34934i | −0.226523 | − | 0.109088i | ||||
\(154\) | −19.1407 | − | 9.21768i | −1.54240 | − | 0.742782i | ||||
\(155\) | −0.504844 | − | 2.21187i | −0.0405501 | − | 0.177661i | ||||
\(156\) | 2.59299 | − | 1.24872i | 0.207605 | − | 0.0999775i | ||||
\(157\) | −17.6775 | −1.41082 | −0.705411 | − | 0.708799i | \(-0.749238\pi\) | ||||
−0.705411 | + | 0.708799i | \(0.749238\pi\) | |||||||
\(158\) | −0.964656 | + | 0.464554i | −0.0767439 | + | 0.0369579i | ||||
\(159\) | 1.20895 | + | 1.51597i | 0.0958758 | + | 0.120224i | ||||
\(160\) | −1.37651 | − | 1.72609i | −0.108823 | − | 0.136459i | ||||
\(161\) | −15.0918 | + | 7.26782i | −1.18940 | + | 0.572785i | ||||
\(162\) | 13.0761 | 1.02735 | ||||||||
\(163\) | −4.47434 | + | 2.15473i | −0.350458 | + | 0.168772i | −0.600827 | − | 0.799379i | \(-0.705162\pi\) |
0.250370 | + | 0.968150i | \(0.419448\pi\) | |||||||
\(164\) | 0.109916 | + | 0.481575i | 0.00858302 | + | 0.0376047i | ||||
\(165\) | −0.416698 | − | 0.200671i | −0.0324399 | − | 0.0156222i | ||||
\(166\) | 15.3143 | + | 7.37499i | 1.18862 | + | 0.572410i | ||||
\(167\) | −3.21864 | + | 14.1018i | −0.249066 | + | 1.09123i | 0.683422 | + | 0.730024i | \(0.260491\pi\) |
−0.932487 | + | 0.361203i | \(0.882366\pi\) | |||||||
\(168\) | −1.52446 | − | 1.91161i | −0.117615 | − | 0.147484i | ||||
\(169\) | 8.66301 | − | 10.8631i | 0.666386 | − | 0.835621i | ||||
\(170\) | 0.158834 | + | 0.695895i | 0.0121820 | + | 0.0533727i | ||||
\(171\) | −1.27748 | + | 5.59700i | −0.0976913 | + | 0.428013i | ||||
\(172\) | −4.46346 | + | 5.59700i | −0.340336 | + | 0.426767i | ||||
\(173\) | 10.5133 | 0.799314 | 0.399657 | − | 0.916665i | \(-0.369129\pi\) | ||||
0.399657 | + | 0.916665i | \(0.369129\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 19.7289 | 1.49136 | ||||||||
\(176\) | 8.96681 | − | 11.2440i | 0.675899 | − | 0.847550i | ||||
\(177\) | −0.902165 | + | 3.95264i | −0.0678109 | + | 0.297099i | ||||
\(178\) | 0.570688 | + | 2.50035i | 0.0427748 | + | 0.187409i | ||||
\(179\) | −3.57942 | + | 4.48845i | −0.267538 | + | 0.335482i | −0.897394 | − | 0.441230i | \(-0.854542\pi\) |
0.629856 | + | 0.776712i | \(0.283114\pi\) | |||||||
\(180\) | −0.777479 | − | 0.974928i | −0.0579499 | − | 0.0726668i | ||||
\(181\) | 1.47770 | − | 6.47421i | 0.109836 | − | 0.481225i | −0.889852 | − | 0.456250i | \(-0.849192\pi\) |
0.999688 | − | 0.0249747i | \(-0.00795053\pi\) | |||||||
\(182\) | 34.0894 | + | 16.4166i | 2.52687 | + | 1.21688i | ||||
\(183\) | 2.42543 | + | 1.16802i | 0.179293 | + | 0.0863428i | ||||
\(184\) | −1.24914 | − | 5.47282i | −0.0920875 | − | 0.403462i | ||||
\(185\) | −0.936313 | + | 0.450904i | −0.0688391 | + | 0.0331512i | ||||
\(186\) | −5.09783 | −0.373791 | ||||||||
\(187\) | −2.91185 | + | 1.40227i | −0.212936 | + | 0.102545i | ||||
\(188\) | 6.06584 | + | 7.60633i | 0.442397 | + | 0.554748i | ||||
\(189\) | −6.51842 | − | 8.17384i | −0.474145 | − | 0.594559i | ||||
\(190\) | 1.18718 | − | 0.571714i | 0.0861269 | − | 0.0414765i | ||||
\(191\) | 18.8116 | 1.36116 | 0.680581 | − | 0.732673i | \(-0.261728\pi\) | ||||
0.680581 | + | 0.732673i | \(0.261728\pi\) | |||||||
\(192\) | −0.508729 | + | 0.244991i | −0.0367144 | + | 0.0176807i | ||||
\(193\) | 2.42208 | + | 10.6118i | 0.174345 | + | 0.763854i | 0.984176 | + | 0.177192i | \(0.0567013\pi\) |
−0.809832 | + | 0.586662i | \(0.800442\pi\) | |||||||
\(194\) | 25.5710 | + | 12.3143i | 1.83589 | + | 0.884118i | ||||
\(195\) | 0.742135 | + | 0.357394i | 0.0531454 | + | 0.0255935i | ||||
\(196\) | −2.60656 | + | 11.4201i | −0.186183 | + | 0.815722i | ||||
\(197\) | −5.23759 | − | 6.56773i | −0.373163 | − | 0.467931i | 0.559422 | − | 0.828883i | \(-0.311023\pi\) |
−0.932584 | + | 0.360952i | \(0.882452\pi\) | |||||||
\(198\) | 9.16637 | − | 11.4943i | 0.651425 | − | 0.816861i | ||||
\(199\) | 1.47339 | + | 6.45532i | 0.104446 | + | 0.457606i | 0.999922 | + | 0.0124967i | \(0.00397793\pi\) |
−0.895476 | + | 0.445109i | \(0.853165\pi\) | |||||||
\(200\) | −1.47123 | + | 6.44588i | −0.104032 | + | 0.455792i | ||||
\(201\) | −0.103875 | + | 0.130256i | −0.00732681 | + | 0.00918753i | ||||
\(202\) | 31.4306 | 2.21145 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0.615957 | 0.0431256 | ||||||||
\(205\) | −0.0881460 | + | 0.110532i | −0.00615638 | + | 0.00771986i | ||||
\(206\) | 1.12833 | − | 4.94355i | 0.0786148 | − | 0.344434i | ||||
\(207\) | −2.57942 | − | 11.3012i | −0.179282 | − | 0.785485i | ||||
\(208\) | −15.9698 | + | 20.0255i | −1.10731 | + | 1.38852i | ||||
\(209\) | 3.71983 | + | 4.66452i | 0.257306 | + | 0.322652i | ||||
\(210\) | −0.257865 | + | 1.12978i | −0.0177944 | + | 0.0779622i | ||||
\(211\) | −7.29805 | − | 3.51456i | −0.502419 | − | 0.241952i | 0.165468 | − | 0.986215i | \(-0.447087\pi\) |
−0.667887 | + | 0.744263i | \(0.732801\pi\) | |||||||
\(212\) | 4.89493 | + | 2.35727i | 0.336185 | + | 0.161898i | ||||
\(213\) | −1.12953 | − | 4.94880i | −0.0773942 | − | 0.339086i | ||||
\(214\) | 12.1114 | − | 5.83255i | 0.827919 | − | 0.398705i | ||||
\(215\) | −2.04892 | −0.139735 | ||||||||
\(216\) | 3.15668 | − | 1.52018i | 0.214785 | − | 0.103435i | ||||
\(217\) | −16.0477 | − | 20.1232i | −1.08939 | − | 1.36605i | ||||
\(218\) | −1.85690 | − | 2.32847i | −0.125765 | − | 0.157704i | ||||
\(219\) | 3.58815 | − | 1.72796i | 0.242464 | − | 0.116765i | ||||
\(220\) | −1.29590 | −0.0873694 | ||||||||
\(221\) | 5.18598 | − | 2.49744i | 0.348847 | − | 0.167996i | ||||
\(222\) | 0.519614 | + | 2.27658i | 0.0348742 | + | 0.152794i | ||||
\(223\) | −19.7485 | − | 9.51036i | −1.32246 | − | 0.636861i | −0.366512 | − | 0.930413i | \(-0.619448\pi\) |
−0.955943 | + | 0.293552i | \(0.905163\pi\) | |||||||
\(224\) | −22.5661 | − | 10.8673i | −1.50776 | − | 0.726101i | ||||
\(225\) | −3.03803 | + | 13.3105i | −0.202535 | + | 0.887366i | ||||
\(226\) | −9.70775 | − | 12.1731i | −0.645750 | − | 0.809745i | ||||
\(227\) | −11.3964 | + | 14.2907i | −0.756407 | + | 0.948504i | −0.999770 | − | 0.0214309i | \(-0.993178\pi\) |
0.243363 | + | 0.969935i | \(0.421749\pi\) | |||||||
\(228\) | −0.253020 | − | 1.10855i | −0.0167567 | − | 0.0734158i | ||||
\(229\) | 3.56584 | − | 15.6230i | 0.235638 | − | 1.03240i | −0.709239 | − | 0.704968i | \(-0.750961\pi\) |
0.944876 | − | 0.327427i | \(-0.106182\pi\) | |||||||
\(230\) | −1.65883 | + | 2.08011i | −0.109380 | + | 0.137158i | ||||
\(231\) | −5.24698 | −0.345226 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1.95646 | 0.128172 | 0.0640860 | − | 0.997944i | \(-0.479587\pi\) | ||||
0.0640860 | + | 0.997944i | \(0.479587\pi\) | |||||||
\(234\) | −16.3252 | + | 20.4712i | −1.06721 | + | 1.33824i | ||||
\(235\) | −0.619605 | + | 2.71467i | −0.0404186 | + | 0.177085i | ||||
\(236\) | 2.52781 | + | 11.0751i | 0.164546 | + | 0.720925i | ||||
\(237\) | −0.164874 | + | 0.206746i | −0.0107097 | + | 0.0134296i | ||||
\(238\) | 5.04892 | + | 6.33114i | 0.327273 | + | 0.410387i | ||||
\(239\) | 1.99449 | − | 8.73844i | 0.129013 | − | 0.565243i | −0.868558 | − | 0.495587i | \(-0.834953\pi\) |
0.997571 | − | 0.0696554i | \(-0.0221900\pi\) | |||||||
\(240\) | −0.706791 | − | 0.340373i | −0.0456232 | − | 0.0219710i | ||||
\(241\) | −17.9291 | − | 8.63419i | −1.15491 | − | 0.556177i | −0.244407 | − | 0.969673i | \(-0.578593\pi\) |
−0.910506 | + | 0.413496i | \(0.864308\pi\) | |||||||
\(242\) | 1.01089 | + | 4.42898i | 0.0649822 | + | 0.284705i | ||||
\(243\) | 9.88889 | − | 4.76224i | 0.634372 | − | 0.305498i | ||||
\(244\) | 7.54288 | 0.482883 | ||||||||
\(245\) | −3.02057 | + | 1.45463i | −0.192977 | + | 0.0929330i | ||||
\(246\) | 0.198062 | + | 0.248362i | 0.0126280 | + | 0.0158350i | ||||
\(247\) | −6.62498 | − | 8.30746i | −0.421537 | − | 0.528591i | ||||
\(248\) | 7.77144 | − | 3.74253i | 0.493487 | − | 0.237651i | ||||
\(249\) | 4.19806 | 0.266041 | ||||||||
\(250\) | 5.72037 | − | 2.75478i | 0.361788 | − | 0.174228i | ||||
\(251\) | 5.74214 | + | 25.1579i | 0.362440 | + | 1.58795i | 0.746980 | + | 0.664847i | \(0.231503\pi\) |
−0.384540 | + | 0.923108i | \(0.625640\pi\) | |||||||
\(252\) | −12.7458 | − | 6.13805i | −0.802909 | − | 0.386661i | ||||
\(253\) | −10.8535 | − | 5.22679i | −0.682356 | − | 0.328606i | ||||
\(254\) | 4.19902 | − | 18.3971i | 0.263470 | − | 1.15434i | ||||
\(255\) | 0.109916 | + | 0.137831i | 0.00688322 | + | 0.00863129i | ||||
\(256\) | 12.9133 | − | 16.1928i | 0.807084 | − | 1.01205i | ||||
\(257\) | −2.65937 | − | 11.6514i | −0.165887 | − | 0.726797i | −0.987612 | − | 0.156914i | \(-0.949846\pi\) |
0.821726 | − | 0.569883i | \(-0.193012\pi\) | |||||||
\(258\) | −1.02446 | + | 4.48845i | −0.0637800 | + | 0.279438i | ||||
\(259\) | −7.35086 | + | 9.21768i | −0.456760 | + | 0.572759i | ||||
\(260\) | 2.30798 | 0.143135 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.819396 | 0.0506225 | ||||||||
\(263\) | 0.207455 | − | 0.260141i | 0.0127923 | − | 0.0160410i | −0.775394 | − | 0.631477i | \(-0.782449\pi\) |
0.788186 | + | 0.615437i | \(0.211020\pi\) | |||||||
\(264\) | 0.391280 | − | 1.71431i | 0.0240816 | − | 0.105509i | ||||
\(265\) | 0.346011 | + | 1.51597i | 0.0212553 | + | 0.0931254i | ||||
\(266\) | 9.32036 | − | 11.6874i | 0.571468 | − | 0.716598i | ||||
\(267\) | 0.394928 | + | 0.495224i | 0.0241692 | + | 0.0303072i | ||||
\(268\) | −0.103875 | + | 0.455108i | −0.00634520 | + | 0.0278002i | ||||
\(269\) | −0.958615 | − | 0.461645i | −0.0584478 | − | 0.0281470i | 0.404432 | − | 0.914568i | \(-0.367469\pi\) |
−0.462879 | + | 0.886421i | \(0.653184\pi\) | |||||||
\(270\) | −1.49612 | − | 0.720491i | −0.0910507 | − | 0.0438477i | ||||
\(271\) | −3.66368 | − | 16.0516i | −0.222553 | − | 0.975067i | −0.955549 | − | 0.294834i | \(-0.904736\pi\) |
0.732996 | − | 0.680233i | \(-0.238121\pi\) | |||||||
\(272\) | −4.93900 | + | 2.37850i | −0.299471 | + | 0.144218i | ||||
\(273\) | 9.34481 | 0.565574 | ||||||||
\(274\) | −21.4955 | + | 10.3517i | −1.29859 | + | 0.625367i | ||||
\(275\) | 8.84631 | + | 11.0929i | 0.533452 | + | 0.668928i | ||||
\(276\) | 1.43147 | + | 1.79500i | 0.0861643 | + | 0.108047i | ||||
\(277\) | −5.94116 | + | 2.86111i | −0.356970 | + | 0.171907i | −0.603769 | − | 0.797159i | \(-0.706335\pi\) |
0.246800 | + | 0.969066i | \(0.420621\pi\) | |||||||
\(278\) | −5.03923 | −0.302233 | ||||||||
\(279\) | 16.0477 | − | 7.72818i | 0.960752 | − | 0.462674i | ||||
\(280\) | −0.436313 | − | 1.91161i | −0.0260747 | − | 0.114241i | ||||
\(281\) | 27.5112 | + | 13.2487i | 1.64118 | + | 0.790350i | 0.999731 | + | 0.0231840i | \(0.00738037\pi\) |
0.641448 | + | 0.767166i | \(0.278334\pi\) | |||||||
\(282\) | 5.63706 | + | 2.71467i | 0.335682 | + | 0.161656i | ||||
\(283\) | 0.791053 | − | 3.46583i | 0.0470232 | − | 0.206022i | −0.945959 | − | 0.324286i | \(-0.894876\pi\) |
0.992982 | + | 0.118264i | \(0.0377330\pi\) | |||||||
\(284\) | −8.86778 | − | 11.1198i | −0.526206 | − | 0.659841i | ||||
\(285\) | 0.202907 | − | 0.254437i | 0.0120191 | − | 0.0150715i | ||||
\(286\) | 6.05496 | + | 26.5285i | 0.358037 | + | 1.56866i | ||||
\(287\) | −0.356896 | + | 1.56366i | −0.0210669 | + | 0.0923001i | ||||
\(288\) | 10.8068 | − | 13.5513i | 0.636796 | − | 0.798517i | ||||
\(289\) | −15.7681 | −0.927534 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 7.00969 | 0.410915 | ||||||||
\(292\) | 6.95742 | − | 8.72433i | 0.407152 | − | 0.510553i | ||||
\(293\) | 7.31647 | − | 32.0556i | 0.427433 | − | 1.87271i | −0.0578127 | − | 0.998327i | \(-0.518413\pi\) |
0.485246 | − | 0.874378i | \(-0.338730\pi\) | |||||||
\(294\) | 1.67629 | + | 7.34432i | 0.0977633 | + | 0.428329i | ||||
\(295\) | −2.02715 | + | 2.54196i | −0.118025 | + | 0.147999i | ||||
\(296\) | −2.46346 | − | 3.08908i | −0.143186 | − | 0.179549i | ||||
\(297\) | 1.67307 | − | 7.33020i | 0.0970814 | − | 0.425342i | ||||
\(298\) | −4.39708 | − | 2.11752i | −0.254716 | − | 0.122665i | ||||
\(299\) | 19.3300 | + | 9.30886i | 1.11789 | + | 0.538345i | ||||
\(300\) | −0.601720 | − | 2.63631i | −0.0347403 | − | 0.152207i | ||||
\(301\) | −20.9426 | + | 10.0854i | −1.20711 | + | 0.581316i | ||||
\(302\) | −4.38835 | −0.252521 | ||||||||
\(303\) | 6.99396 | − | 3.36811i | 0.401792 | − | 0.193493i | ||||
\(304\) | 6.30947 | + | 7.91183i | 0.361873 | + | 0.453774i | ||||
\(305\) | 1.34601 | + | 1.68784i | 0.0770724 | + | 0.0966457i | ||||
\(306\) | −5.04892 | + | 2.43143i | −0.288627 | + | 0.138996i | ||||
\(307\) | −14.6703 | −0.837275 | −0.418638 | − | 0.908153i | \(-0.637492\pi\) | ||||
−0.418638 | + | 0.908153i | \(0.637492\pi\) | |||||||
\(308\) | −13.2458 | + | 6.37883i | −0.754749 | + | 0.363468i | ||||
\(309\) | −0.278676 | − | 1.22096i | −0.0158533 | − | 0.0694578i | ||||
\(310\) | −3.68329 | − | 1.77378i | −0.209197 | − | 0.100744i | ||||
\(311\) | 16.6918 | + | 8.03834i | 0.946504 | + | 0.455812i | 0.842459 | − | 0.538760i | \(-0.181107\pi\) |
0.104045 | + | 0.994573i | \(0.466821\pi\) | |||||||
\(312\) | −0.696866 | + | 3.05317i | −0.0394523 | + | 0.172852i | ||||
\(313\) | 14.3354 | + | 17.9760i | 0.810286 | + | 1.01607i | 0.999418 | + | 0.0341147i | \(0.0108612\pi\) |
−0.189132 | + | 0.981952i | \(0.560567\pi\) | |||||||
\(314\) | −19.8605 | + | 24.9043i | −1.12080 | + | 1.40543i | ||||
\(315\) | −0.900969 | − | 3.94740i | −0.0507638 | − | 0.222411i | ||||
\(316\) | −0.164874 | + | 0.722362i | −0.00927491 | + | 0.0406360i | ||||
\(317\) | −8.76540 | + | 10.9915i | −0.492314 | + | 0.617342i | −0.964476 | − | 0.264170i | \(-0.914902\pi\) |
0.472162 | + | 0.881512i | \(0.343474\pi\) | |||||||
\(318\) | 3.49396 | 0.195932 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −0.452812 | −0.0253129 | ||||||||
\(321\) | 2.07002 | − | 2.59573i | 0.115537 | − | 0.144879i | ||||
\(322\) | −6.71648 | + | 29.4268i | −0.374295 | + | 1.63989i | ||||
\(323\) | −0.506041 | − | 2.21711i | −0.0281569 | − | 0.123363i | ||||
\(324\) | 5.64191 | − | 7.07473i | 0.313439 | − | 0.393040i | ||||
\(325\) | −15.7552 | − | 19.7564i | −0.873940 | − | 1.09589i | ||||
\(326\) | −1.99127 | + | 8.72433i | −0.110286 | + | 0.483196i | ||||
\(327\) | −0.662718 | − | 0.319148i | −0.0366484 | − | 0.0176489i | ||||
\(328\) | −0.484271 | − | 0.233212i | −0.0267394 | − | 0.0128770i | ||||
\(329\) | 7.02930 | + | 30.7974i | 0.387538 | + | 1.69792i | ||||
\(330\) | −0.750864 | + | 0.361597i | −0.0413337 | + | 0.0199053i | ||||
\(331\) | −13.9565 | −0.767116 | −0.383558 | − | 0.923517i | \(-0.625301\pi\) | ||||
−0.383558 | + | 0.923517i | \(0.625301\pi\) | |||||||
\(332\) | 10.5978 | − | 5.10365i | 0.581632 | − | 0.280099i | ||||
\(333\) | −5.08695 | − | 6.37883i | −0.278763 | − | 0.349558i | ||||
\(334\) | 16.2506 | + | 20.3776i | 0.889195 | + | 1.11501i | ||||
\(335\) | −0.120374 | + | 0.0579692i | −0.00657676 | + | 0.00316720i | ||||
\(336\) | −8.89977 | −0.485522 | ||||||||
\(337\) | −12.6114 | + | 6.07333i | −0.686987 | + | 0.330836i | −0.744607 | − | 0.667503i | \(-0.767363\pi\) |
0.0576199 | + | 0.998339i | \(0.481649\pi\) | |||||||
\(338\) | −5.57122 | − | 24.4091i | −0.303034 | − | 1.32768i | ||||
\(339\) | −3.46466 | − | 1.66849i | −0.188174 | − | 0.0906200i | ||||
\(340\) | 0.445042 | + | 0.214321i | 0.0241358 | + | 0.0116232i | ||||
\(341\) | 4.11894 | − | 18.0463i | 0.223053 | − | 0.977260i | ||||
\(342\) | 6.44989 | + | 8.08790i | 0.348770 | + | 0.437344i | ||||
\(343\) | −6.04288 | + | 7.57753i | −0.326285 | + | 0.409148i | ||||
\(344\) | −1.73341 | − | 7.59455i | −0.0934590 | − | 0.409471i | ||||
\(345\) | −0.146220 | + | 0.640630i | −0.00787220 | + | 0.0344903i | ||||
\(346\) | 11.8116 | − | 14.8113i | 0.634997 | − | 0.796261i | ||||
\(347\) | −19.8538 | −1.06581 | −0.532905 | − | 0.846175i | \(-0.678900\pi\) | ||||
−0.532905 | + | 0.846175i | \(0.678900\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −26.9202 | −1.44101 | −0.720503 | − | 0.693452i | \(-0.756089\pi\) | ||||
−0.720503 | + | 0.693452i | \(0.756089\pi\) | |||||||
\(350\) | 22.1652 | − | 27.7942i | 1.18478 | − | 1.48566i | ||||
\(351\) | −2.97972 | + | 13.0550i | −0.159046 | + | 0.696825i | ||||
\(352\) | −4.00820 | − | 17.5611i | −0.213638 | − | 0.936007i | ||||
\(353\) | −2.50335 | + | 3.13910i | −0.133240 | + | 0.167078i | −0.843976 | − | 0.536382i | \(-0.819791\pi\) |
0.710736 | + | 0.703459i | \(0.248362\pi\) | |||||||
\(354\) | 4.55496 | + | 5.71174i | 0.242093 | + | 0.303575i | ||||
\(355\) | 0.905813 | − | 3.96863i | 0.0480756 | − | 0.210633i | ||||
\(356\) | 1.59903 | + | 0.770053i | 0.0847485 | + | 0.0408127i | ||||
\(357\) | 1.80194 | + | 0.867767i | 0.0953687 | + | 0.0459271i | ||||
\(358\) | 2.30194 | + | 10.0854i | 0.121661 | + | 0.533032i | ||||
\(359\) | −0.672407 | + | 0.323814i | −0.0354883 | + | 0.0170903i | −0.451544 | − | 0.892249i | \(-0.649127\pi\) |
0.416055 | + | 0.909339i | \(0.363412\pi\) | |||||||
\(360\) | 1.35690 | 0.0715147 | ||||||||
\(361\) | 13.3361 | − | 6.42232i | 0.701899 | − | 0.338017i | ||||
\(362\) | −7.46077 | − | 9.35551i | −0.392129 | − | 0.491715i | ||||
\(363\) | 0.699554 | + | 0.877213i | 0.0367171 | + | 0.0460418i | ||||
\(364\) | 23.5906 | − | 11.3606i | 1.23648 | − | 0.595459i | ||||
\(365\) | 3.19375 | 0.167169 | ||||||||
\(366\) | 4.37047 | − | 2.10471i | 0.228448 | − | 0.110015i | ||||
\(367\) | −7.57660 | − | 33.1952i | −0.395495 | − | 1.73278i | −0.644799 | − | 0.764352i | \(-0.723059\pi\) |
0.249304 | − | 0.968425i | \(-0.419798\pi\) | |||||||
\(368\) | −18.4095 | − | 8.86553i | −0.959659 | − | 0.462148i | ||||
\(369\) | −1.00000 | − | 0.481575i | −0.0520579 | − | 0.0250698i | ||||
\(370\) | −0.416698 | + | 1.82567i | −0.0216631 | + | 0.0949123i | ||||
\(371\) | 10.9988 | + | 13.7921i | 0.571029 | + | 0.716048i | ||||
\(372\) | −2.19955 | + | 2.75815i | −0.114042 | + | 0.143004i | ||||
\(373\) | −6.23072 | − | 27.2986i | −0.322614 | − | 1.41347i | −0.832882 | − | 0.553450i | \(-0.813311\pi\) |
0.510268 | − | 0.860015i | \(-0.329546\pi\) | |||||||
\(374\) | −1.29590 | + | 5.67770i | −0.0670092 | + | 0.293587i | ||||
\(375\) | 0.977697 | − | 1.22599i | 0.0504881 | − | 0.0633100i | ||||
\(376\) | −10.5864 | −0.545953 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −18.8388 | −0.968962 | ||||||||
\(379\) | −14.2661 | + | 17.8891i | −0.732798 | + | 0.918900i | −0.998986 | − | 0.0450211i | \(-0.985664\pi\) |
0.266188 | + | 0.963921i | \(0.414236\pi\) | |||||||
\(380\) | 0.202907 | − | 0.888992i | 0.0104089 | − | 0.0456043i | ||||
\(381\) | −1.03707 | − | 4.54371i | −0.0531308 | − | 0.232781i | ||||
\(382\) | 21.1347 | − | 26.5020i | 1.08134 | − | 1.35596i | ||||
\(383\) | 7.39344 | + | 9.27108i | 0.377787 | + | 0.473730i | 0.933981 | − | 0.357323i | \(-0.116310\pi\) |
−0.556194 | + | 0.831052i | \(0.687739\pi\) | |||||||
\(384\) | 0.998804 | − | 4.37604i | 0.0509700 | − | 0.223314i | ||||
\(385\) | −3.79105 | − | 1.82567i | −0.193210 | − | 0.0930450i | ||||
\(386\) | 17.6712 | + | 8.51001i | 0.899441 | + | 0.433148i | ||||
\(387\) | −3.57942 | − | 15.6824i | −0.181952 | − | 0.797184i | ||||
\(388\) | 17.6957 | − | 8.52179i | 0.898362 | − | 0.432628i | ||||
\(389\) | 10.3913 | 0.526862 | 0.263431 | − | 0.964678i | \(-0.415146\pi\) | ||||
0.263431 | + | 0.964678i | \(0.415146\pi\) | |||||||
\(390\) | 1.33728 | − | 0.644001i | 0.0677159 | − | 0.0326103i | ||||
\(391\) | 2.86294 | + | 3.59001i | 0.144785 | + | 0.181555i | ||||
\(392\) | −7.94720 | − | 9.96547i | −0.401394 | − | 0.503332i | ||||
\(393\) | 0.182333 | − | 0.0878068i | 0.00919747 | − | 0.00442927i | ||||
\(394\) | −15.1371 | −0.762594 | ||||||||
\(395\) | −0.191062 | + | 0.0920106i | −0.00961337 | + | 0.00462956i | ||||
\(396\) | −2.26391 | − | 9.91882i | −0.113766 | − | 0.498439i | ||||
\(397\) | −7.40366 | − | 3.56541i | −0.371579 | − | 0.178943i | 0.238769 | − | 0.971076i | \(-0.423256\pi\) |
−0.610348 | + | 0.792133i | \(0.708970\pi\) | |||||||
\(398\) | 10.7497 | + | 5.17677i | 0.538832 | + | 0.259488i | ||||
\(399\) | 0.821552 | − | 3.59945i | 0.0411290 | − | 0.180198i | ||||
\(400\) | 15.0048 | + | 18.8155i | 0.750242 | + | 0.940774i | ||||
\(401\) | 15.5130 | − | 19.4527i | 0.774684 | − | 0.971423i | −0.225312 | − | 0.974287i | \(-0.572340\pi\) |
0.999996 | + | 0.00286337i | \(0.000911439\pi\) | |||||||
\(402\) | 0.0668027 | + | 0.292682i | 0.00333182 | + | 0.0145976i | ||||
\(403\) | −7.33579 | + | 32.1402i | −0.365422 | + | 1.60102i | ||||
\(404\) | 13.5613 | − | 17.0053i | 0.674700 | − | 0.846047i | ||||
\(405\) | 2.58987 | 0.128692 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −8.47889 | −0.420283 | ||||||||
\(408\) | −0.417895 | + | 0.524023i | −0.0206889 | + | 0.0259430i | ||||
\(409\) | 4.20464 | − | 18.4217i | 0.207906 | − | 0.910895i | −0.758052 | − | 0.652194i | \(-0.773849\pi\) |
0.965958 | − | 0.258701i | \(-0.0832943\pi\) | |||||||
\(410\) | 0.0566871 | + | 0.248362i | 0.00279957 | + | 0.0122657i | ||||
\(411\) | −3.67390 | + | 4.60692i | −0.181220 | + | 0.227243i | ||||
\(412\) | −2.18784 | − | 2.74347i | −0.107787 | − | 0.135161i | ||||
\(413\) | −8.20775 | + | 35.9605i | −0.403877 | + | 1.76950i | ||||
\(414\) | −18.8192 | − | 9.06283i | −0.924911 | − | 0.445414i | ||||
\(415\) | 3.03319 | + | 1.46071i | 0.148893 | + | 0.0717033i | ||||
\(416\) | 7.13856 | + | 31.2761i | 0.349996 | + | 1.53343i | ||||
\(417\) | −1.12133 | + | 0.540006i | −0.0549120 | + | 0.0264442i | ||||
\(418\) | 10.7506 | 0.525830 | ||||||||
\(419\) | 9.81378 | − | 4.72607i | 0.479435 | − | 0.230884i | −0.178527 | − | 0.983935i | \(-0.557133\pi\) |
0.657962 | + | 0.753051i | \(0.271419\pi\) | |||||||
\(420\) | 0.500000 | + | 0.626980i | 0.0243975 | + | 0.0305935i | ||||
\(421\) | 12.4453 | + | 15.6060i | 0.606549 | + | 0.760588i | 0.986383 | − | 0.164467i | \(-0.0525903\pi\) |
−0.379834 | + | 0.925055i | \(0.624019\pi\) | |||||||
\(422\) | −13.1506 | + | 6.33301i | −0.640163 | + | 0.308286i | ||||
\(423\) | −21.8605 | −1.06290 | ||||||||
\(424\) | −5.32640 | + | 2.56506i | −0.258673 | + | 0.124570i | ||||
\(425\) | −1.20344 | − | 5.27261i | −0.0583754 | − | 0.255759i | ||||
\(426\) | −8.24094 | − | 3.96863i | −0.399275 | − | 0.192281i | ||||
\(427\) | 22.0661 | + | 10.6265i | 1.06786 | + | 0.514252i | ||||
\(428\) | 2.07002 | − | 9.06937i | 0.100058 | − | 0.438384i | ||||
\(429\) | 4.19016 | + | 5.25430i | 0.202303 | + | 0.253680i | ||||
\(430\) | −2.30194 | + | 2.88654i | −0.111009 | + | 0.139201i | ||||
\(431\) | 6.71797 | + | 29.4334i | 0.323593 | + | 1.41776i | 0.831108 | + | 0.556112i | \(0.187707\pi\) |
−0.507514 | + | 0.861643i | \(0.669436\pi\) | |||||||
\(432\) | 2.83781 | − | 12.4333i | 0.136534 | − | 0.598196i | ||||
\(433\) | 12.5891 | − | 15.7862i | 0.604994 | − | 0.758638i | −0.381153 | − | 0.924512i | \(-0.624473\pi\) |
0.986147 | + | 0.165874i | \(0.0530444\pi\) | |||||||
\(434\) | −46.3793 | −2.22628 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.06100 | −0.0987039 | ||||||||
\(437\) | 5.28501 | − | 6.62720i | 0.252816 | − | 0.317022i | ||||
\(438\) | 1.59688 | − | 6.99637i | 0.0763016 | − | 0.334299i | ||||
\(439\) | 2.37316 | + | 10.3975i | 0.113265 | + | 0.496245i | 0.999458 | + | 0.0329287i | \(0.0104834\pi\) |
−0.886193 | + | 0.463316i | \(0.846659\pi\) | |||||||
\(440\) | 0.879199 | − | 1.10248i | 0.0419141 | − | 0.0525587i | ||||
\(441\) | −16.4107 | − | 20.5783i | −0.781460 | − | 0.979920i | ||||
\(442\) | 2.30798 | − | 10.1119i | 0.109779 | − | 0.480975i | ||||
\(443\) | −18.3349 | − | 8.82962i | −0.871117 | − | 0.419508i | −0.0557448 | − | 0.998445i | \(-0.517753\pi\) |
−0.815372 | + | 0.578937i | \(0.803468\pi\) | |||||||
\(444\) | 1.45593 | + | 0.701137i | 0.0690952 | + | 0.0332745i | ||||
\(445\) | 0.113032 | + | 0.495224i | 0.00535822 | + | 0.0234759i | ||||
\(446\) | −35.5855 | + | 17.1371i | −1.68502 | + | 0.811464i | ||||
\(447\) | −1.20536 | −0.0570115 | ||||||||
\(448\) | −4.62833 | + | 2.22889i | −0.218668 | + | 0.105305i | ||||
\(449\) | −12.1102 | − | 15.1857i | −0.571516 | − | 0.716659i | 0.409124 | − | 0.912479i | \(-0.365834\pi\) |
−0.980640 | + | 0.195820i | \(0.937263\pi\) | |||||||
\(450\) | 15.3388 | + | 19.2342i | 0.723077 | + | 0.906710i | ||||
\(451\) | −1.03923 | + | 0.500466i | −0.0489354 | + | 0.0235660i | ||||
\(452\) | −10.7748 | −0.506804 | ||||||||
\(453\) | −0.976501 | + | 0.470258i | −0.0458800 | + | 0.0220946i | ||||
\(454\) | 7.32908 | + | 32.1108i | 0.343971 | + | 1.50704i | ||||
\(455\) | 6.75182 | + | 3.25151i | 0.316530 | + | 0.152433i | ||||
\(456\) | 1.11476 | + | 0.536840i | 0.0522034 | + | 0.0251399i | ||||
\(457\) | 2.76391 | − | 12.1095i | 0.129290 | − | 0.566457i | −0.868236 | − | 0.496152i | \(-0.834746\pi\) |
0.997526 | − | 0.0703045i | \(-0.0223971\pi\) | |||||||
\(458\) | −18.0036 | − | 22.5759i | −0.841255 | − | 1.05490i | ||||
\(459\) | −1.78687 | + | 2.24067i | −0.0834041 | + | 0.104585i | ||||
\(460\) | 0.409698 | + | 1.79500i | 0.0191023 | + | 0.0836925i | ||||
\(461\) | −4.88351 | + | 21.3961i | −0.227448 | + | 0.996514i | 0.724265 | + | 0.689522i | \(0.242179\pi\) |
−0.951712 | + | 0.306991i | \(0.900678\pi\) | |||||||
\(462\) | −5.89493 | + | 7.39201i | −0.274257 | + | 0.343907i | ||||
\(463\) | −33.0073 | −1.53398 | −0.766990 | − | 0.641660i | \(-0.778246\pi\) | ||||
−0.766990 | + | 0.641660i | \(0.778246\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.00969 | −0.0468232 | ||||||||
\(466\) | 2.19806 | − | 2.75628i | 0.101823 | − | 0.127682i | ||||
\(467\) | −5.80851 | + | 25.4487i | −0.268786 | + | 1.17763i | 0.642642 | + | 0.766167i | \(0.277838\pi\) |
−0.911427 | + | 0.411461i | \(0.865019\pi\) | |||||||
\(468\) | 4.03199 | + | 17.6653i | 0.186379 | + | 0.816579i | ||||
\(469\) | −0.945042 | + | 1.18505i | −0.0436380 | + | 0.0547203i | ||||
\(470\) | 3.12833 | + | 3.92281i | 0.144299 | + | 0.180946i | ||||
\(471\) | −1.75063 | + | 7.67000i | −0.0806647 | + | 0.353415i | ||||
\(472\) | −11.1371 | − | 5.36333i | −0.512625 | − | 0.246867i | ||||
\(473\) | −15.0613 | − | 7.25314i | −0.692519 | − | 0.333500i | ||||
\(474\) | 0.106031 | + | 0.464554i | 0.00487018 | + | 0.0213377i | ||||
\(475\) | −8.99492 | + | 4.33172i | −0.412715 | + | 0.198753i | ||||
\(476\) | 5.60388 | 0.256853 | ||||||||
\(477\) | −10.9988 | + | 5.29674i | −0.503601 | + | 0.242521i | ||||
\(478\) | −10.0700 | − | 12.6274i | −0.460592 | − | 0.577564i | ||||
\(479\) | −20.6163 | − | 25.8520i | −0.941981 | − | 1.18121i | −0.983287 | − | 0.182060i | \(-0.941724\pi\) |
0.0413068 | − | 0.999147i | \(-0.486848\pi\) | |||||||
\(480\) | −0.885239 | + | 0.426309i | −0.0404055 | + | 0.0194582i | ||||
\(481\) | 15.1008 | 0.688538 | ||||||||
\(482\) | −32.3071 | + | 15.5583i | −1.47155 | + | 0.708660i | ||||
\(483\) | 1.65883 | + | 7.26782i | 0.0754795 | + | 0.330697i | ||||
\(484\) | 2.83244 | + | 1.36403i | 0.128747 | + | 0.0620014i | ||||
\(485\) | 5.06465 | + | 2.43901i | 0.229974 | + | 0.110750i | ||||
\(486\) | 4.40097 | − | 19.2819i | 0.199632 | − | 0.874645i | ||||
\(487\) | −6.33244 | − | 7.94063i | −0.286950 | − | 0.359824i | 0.617375 | − | 0.786669i | \(-0.288196\pi\) |
−0.904325 | + | 0.426845i | \(0.859625\pi\) | |||||||
\(488\) | −5.11745 | + | 6.41708i | −0.231656 | + | 0.290487i | ||||
\(489\) | 0.491803 | + | 2.15473i | 0.0222401 | + | 0.0974403i | ||||
\(490\) | −1.34428 | + | 5.88968i | −0.0607285 | + | 0.266069i | ||||
\(491\) | 12.2714 | − | 15.3879i | 0.553802 | − | 0.694446i | −0.423596 | − | 0.905851i | \(-0.639232\pi\) |
0.977399 | + | 0.211405i | \(0.0678039\pi\) | |||||||
\(492\) | 0.219833 | 0.00991082 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −19.1468 | −0.861453 | ||||||||
\(495\) | 1.81551 | − | 2.27658i | 0.0816012 | − | 0.102325i | ||||
\(496\) | 6.98643 | − | 30.6095i | 0.313700 | − | 1.37441i | ||||
\(497\) | −10.2763 | − | 45.0233i | −0.460954 | − | 2.01957i | ||||
\(498\) | 4.71648 | − | 5.91428i | 0.211351 | − | 0.265025i | ||||
\(499\) | 17.3639 | + | 21.7736i | 0.777315 | + | 0.974722i | 1.00000 | 0.000168534i | \(-5.36461e-5\pi\) | |
−0.222685 | + | 0.974890i | \(0.571482\pi\) | |||||||
\(500\) | 0.977697 | − | 4.28357i | 0.0437240 | − | 0.191567i | ||||
\(501\) | 5.79978 | + | 2.79303i | 0.259115 | + | 0.124783i | ||||
\(502\) | 41.8940 | + | 20.1751i | 1.86982 | + | 0.900459i | ||||
\(503\) | −0.0501138 | − | 0.219563i | −0.00223446 | − | 0.00978982i | 0.973798 | − | 0.227413i | \(-0.0730267\pi\) |
−0.976033 | + | 0.217623i | \(0.930170\pi\) | |||||||
\(504\) | 13.8693 | − | 6.67909i | 0.617787 | − | 0.297510i | ||||
\(505\) | 6.22521 | 0.277018 | ||||||||
\(506\) | −19.5574 | + | 9.41835i | −0.869433 | + | 0.418697i | ||||
\(507\) | −3.85540 | − | 4.83452i | −0.171224 | − | 0.214709i | ||||
\(508\) | −8.14191 | − | 10.2096i | −0.361239 | − | 0.452979i | ||||
\(509\) | 22.7974 | − | 10.9786i | 1.01048 | − | 0.486620i | 0.145995 | − | 0.989285i | \(-0.453362\pi\) |
0.864481 | + | 0.502665i | \(0.167647\pi\) | |||||||
\(510\) | 0.317667 | 0.0140665 | ||||||||
\(511\) | 32.6444 | − | 15.7207i | 1.44410 | − | 0.695443i | ||||
\(512\) | −3.81604 | − | 16.7192i | −0.168647 | − | 0.738890i | ||||
\(513\) | 4.76659 | + | 2.29547i | 0.210450 | + | 0.101348i | ||||
\(514\) | −19.4025 | − | 9.34373i | −0.855806 | − | 0.412134i | ||||
\(515\) | 0.223480 | − | 0.979132i | 0.00984772 | − | 0.0431457i | ||||
\(516\) | 1.98643 | + | 2.49090i | 0.0874475 | + | 0.109656i | ||||
\(517\) | −14.1645 | + | 17.7617i | −0.622954 | + | 0.781160i | ||||
\(518\) | 4.72737 | + | 20.7119i | 0.207709 | + | 0.910030i | ||||
\(519\) | 1.04115 | − | 4.56157i | 0.0457013 | − | 0.200231i | ||||
\(520\) | −1.56584 | + | 1.96351i | −0.0686668 | + | 0.0861054i | ||||
\(521\) | 23.5797 | 1.03305 | 0.516523 | − | 0.856273i | \(-0.327226\pi\) | ||||
0.516523 | + | 0.856273i | \(0.327226\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.96508 | 0.173381 | 0.0866905 | − | 0.996235i | \(-0.472371\pi\) | ||||
0.0866905 | + | 0.996235i | \(0.472371\pi\) | |||||||
\(524\) | 0.353543 | − | 0.443330i | 0.0154446 | − | 0.0193669i | ||||
\(525\) | 1.95377 | − | 8.56003i | 0.0852696 | − | 0.373590i | ||||
\(526\) | −0.133415 | − | 0.584531i | −0.00581719 | − | 0.0254868i | ||||
\(527\) | −4.39911 | + | 5.51631i | −0.191628 | + | 0.240294i | ||||
\(528\) | −3.99061 | − | 5.00406i | −0.173669 | − | 0.217774i | ||||
\(529\) | 1.30947 | − | 5.73717i | 0.0569335 | − | 0.249442i | ||||
\(530\) | 2.52446 | + | 1.21572i | 0.109655 | + | 0.0528073i | ||||
\(531\) | −22.9976 | − | 11.0751i | −0.998011 | − | 0.480617i | ||||
\(532\) | −2.30194 | − | 10.0854i | −0.0998017 | − | 0.437260i | ||||
\(533\) | 1.85086 | − | 0.891325i | 0.0801694 | − | 0.0386076i | ||||
\(534\) | 1.14138 | 0.0493921 | ||||||||
\(535\) | 2.39881 | − | 1.15521i | 0.103710 | − | 0.0499440i | ||||
\(536\) | −0.316708 | − | 0.397139i | −0.0136797 | − | 0.0171538i | ||||
\(537\) | 1.59299 | + | 1.99755i | 0.0687426 | + | 0.0862005i | ||||
\(538\) | −1.72737 | + | 0.831855i | −0.0744720 | + | 0.0358638i | ||||
\(539\) | −27.3532 | −1.17818 | ||||||||
\(540\) | −1.03534 | + | 0.498595i | −0.0445541 | + | 0.0214561i | ||||
\(541\) | −5.48739 | − | 24.0418i | −0.235921 | − | 1.03364i | −0.944630 | − | 0.328137i | \(-0.893579\pi\) |
0.708709 | − | 0.705501i | \(-0.249278\pi\) | |||||||
\(542\) | −26.7298 | − | 12.8724i | −1.14814 | − | 0.552917i | ||||
\(543\) | −2.66272 | − | 1.28230i | −0.114268 | − | 0.0550287i | ||||
\(544\) | −1.52781 | + | 6.69378i | −0.0655044 | + | 0.286993i | ||||
\(545\) | −0.367781 | − | 0.461183i | −0.0157540 | − | 0.0197549i | ||||
\(546\) | 10.4988 | − | 13.1651i | 0.449307 | − | 0.563414i | ||||
\(547\) | −5.52768 | − | 24.2183i | −0.236347 | − | 1.03550i | −0.944259 | − | 0.329202i | \(-0.893220\pi\) |
0.707913 | − | 0.706300i | \(-0.249637\pi\) | |||||||
\(548\) | −3.67390 | + | 16.0964i | −0.156941 | + | 0.687604i | ||||
\(549\) | −10.5673 | + | 13.2510i | −0.451003 | + | 0.565540i | ||||
\(550\) | 25.5666 | 1.09016 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −2.49827 | −0.106333 | ||||||||
\(553\) | −1.50000 | + | 1.88094i | −0.0637865 | + | 0.0799857i | ||||
\(554\) | −2.64406 | + | 11.5844i | −0.112335 | + | 0.492174i | ||||
\(555\) | 0.102916 | + | 0.450904i | 0.00436854 | + | 0.0191398i | ||||
\(556\) | −2.17427 | + | 2.72645i | −0.0922095 | + | 0.115627i | ||||
\(557\) | 4.84146 | + | 6.07100i | 0.205139 | + | 0.257237i | 0.873749 | − | 0.486377i | \(-0.161682\pi\) |
−0.668610 | + | 0.743613i | \(0.733110\pi\) | |||||||
\(558\) | 7.14191 | − | 31.2907i | 0.302341 | − | 1.32464i | ||||
\(559\) | 26.8240 | + | 12.9178i | 1.13453 | + | 0.546363i | ||||
\(560\) | −6.43027 | − | 3.09666i | −0.271729 | − | 0.130858i | ||||
\(561\) | 0.320060 | + | 1.40227i | 0.0135129 | + | 0.0592041i | ||||
\(562\) | 49.5734 | − | 23.8733i | 2.09113 | − | 1.00703i | ||||
\(563\) | −20.8009 | −0.876652 | −0.438326 | − | 0.898816i | \(-0.644429\pi\) | ||||
−0.438326 | + | 0.898816i | \(0.644429\pi\) | |||||||
\(564\) | 3.90097 | − | 1.87861i | 0.164260 | − | 0.0791036i | ||||
\(565\) | −1.92274 | − | 2.41104i | −0.0808902 | − | 0.101433i | ||||
\(566\) | −3.99396 | − | 5.00827i | −0.167879 | − | 0.210513i | ||||
\(567\) | 26.4720 | − | 12.7482i | 1.11172 | − | 0.535375i | ||||
\(568\) | 15.4765 | 0.649380 | ||||||||
\(569\) | 2.53103 | − | 1.21888i | 0.106106 | − | 0.0510981i | −0.380078 | − | 0.924955i | \(-0.624103\pi\) |
0.486184 | + | 0.873856i | \(0.338388\pi\) | |||||||
\(570\) | −0.130490 | − | 0.571714i | −0.00546563 | − | 0.0239465i | ||||
\(571\) | −2.60603 | − | 1.25500i | −0.109059 | − | 0.0525201i | 0.378559 | − | 0.925577i | \(-0.376420\pi\) |
−0.487618 | + | 0.873057i | \(0.662134\pi\) | |||||||
\(572\) | 16.9656 | + | 8.17021i | 0.709368 | + | 0.341614i | ||||
\(573\) | 1.86294 | − | 8.16206i | 0.0778253 | − | 0.340975i | ||||
\(574\) | 1.80194 | + | 2.25956i | 0.0752114 | + | 0.0943121i | ||||
\(575\) | 12.5685 | − | 15.7604i | 0.524144 | − | 0.657256i | ||||
\(576\) | −0.791053 | − | 3.46583i | −0.0329605 | − | 0.144409i | ||||
\(577\) | 1.59970 | − | 7.00872i | 0.0665962 | − | 0.291777i | −0.930653 | − | 0.365904i | \(-0.880760\pi\) |
0.997249 | + | 0.0741270i | \(0.0236170\pi\) | |||||||
\(578\) | −17.7153 | + | 22.2143i | −0.736859 | + | 0.923992i | ||||
\(579\) | 4.84415 | 0.201316 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 38.1933 | 1.58452 | ||||||||
\(582\) | 7.87531 | − | 9.87533i | 0.326442 | − | 0.409346i | ||||
\(583\) | −2.82304 | + | 12.3686i | −0.116919 | + | 0.512254i | ||||
\(584\) | 2.70195 | + | 11.8380i | 0.111807 | + | 0.489860i | ||||
\(585\) | −3.23341 | + | 4.05456i | −0.133685 | + | 0.167636i | ||||
\(586\) | −36.9403 | − | 46.3216i | −1.52599 | − | 1.91353i | ||||
\(587\) | 6.90635 | − | 30.2587i | 0.285055 | − | 1.24891i | −0.606165 | − | 0.795339i | \(-0.707293\pi\) |
0.891220 | − | 0.453570i | \(-0.149850\pi\) | |||||||
\(588\) | 4.69687 | + | 2.26189i | 0.193695 | + | 0.0932788i | ||||
\(589\) | 11.7349 | + | 5.65123i | 0.483528 | + | 0.232855i | ||||
\(590\) | 1.30367 | + | 5.71174i | 0.0536711 | + | 0.235148i | ||||
\(591\) | −3.36831 | + | 1.62209i | −0.138554 | + | 0.0667240i | ||||
\(592\) | −14.3817 | −0.591082 | ||||||||
\(593\) | −32.8560 | + | 15.8226i | −1.34923 | + | 0.649757i | −0.962209 | − | 0.272312i | \(-0.912212\pi\) |
−0.387025 | + | 0.922069i | \(0.626497\pi\) | |||||||
\(594\) | −8.44720 | − | 10.5925i | −0.346593 | − | 0.434614i | ||||
\(595\) | 1.00000 | + | 1.25396i | 0.0409960 | + | 0.0514074i | ||||
\(596\) | −3.04288 | + | 1.46537i | −0.124641 | + | 0.0600240i | ||||
\(597\) | 2.94677 | 0.120603 | ||||||||
\(598\) | 34.8315 | − | 16.7740i | 1.42437 | − | 0.685939i | ||||
\(599\) | 6.69083 | + | 29.3144i | 0.273380 | + | 1.19775i | 0.905995 | + | 0.423288i | \(0.139124\pi\) |
−0.632615 | + | 0.774466i | \(0.718019\pi\) | |||||||
\(600\) | 2.65106 | + | 1.27669i | 0.108229 | + | 0.0521205i | ||||
\(601\) | −29.8995 | − | 14.3989i | −1.21963 | − | 0.587342i | −0.290420 | − | 0.956899i | \(-0.593795\pi\) |
−0.929208 | + | 0.369558i | \(0.879509\pi\) | |||||||
\(602\) | −9.32036 | + | 40.8351i | −0.379869 | + | 1.66432i | ||||
\(603\) | −0.653989 | − | 0.820077i | −0.0266325 | − | 0.0333961i | ||||
\(604\) | −1.89344 | + | 2.37429i | −0.0770428 | + | 0.0966086i | ||||
\(605\) | 0.200218 | + | 0.877213i | 0.00814003 | + | 0.0356638i | ||||
\(606\) | 3.11260 | − | 13.6372i | 0.126441 | − | 0.553974i | ||||
\(607\) | 9.42729 | − | 11.8214i | 0.382642 | − | 0.479818i | −0.552792 | − | 0.833319i | \(-0.686438\pi\) |
0.935434 | + | 0.353502i | \(0.115009\pi\) | |||||||
\(608\) | 12.6746 | 0.514021 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.89008 | 0.157505 | ||||||||
\(611\) | 25.2268 | − | 31.6334i | 1.02057 | − | 1.27975i | ||||
\(612\) | −0.862937 | + | 3.78077i | −0.0348821 | + | 0.152829i | ||||
\(613\) | −0.835658 | − | 3.66126i | −0.0337519 | − | 0.147877i | 0.955244 | − | 0.295818i | \(-0.0955923\pi\) |
−0.988996 | + | 0.147942i | \(0.952735\pi\) | |||||||
\(614\) | −16.4819 | + | 20.6676i | −0.665154 | + | 0.834077i | ||||
\(615\) | 0.0392287 | + | 0.0491912i | 0.00158185 | + | 0.00198358i | ||||
\(616\) | 3.55980 | − | 15.5965i | 0.143429 | − | 0.628401i | ||||
\(617\) | 26.8995 | + | 12.9541i | 1.08293 | + | 0.521514i | 0.888254 | − | 0.459353i | \(-0.151919\pi\) |
0.194681 | + | 0.980867i | \(0.437633\pi\) | |||||||
\(618\) | −2.03319 | − | 0.979132i | −0.0817868 | − | 0.0393865i | ||||
\(619\) | −10.2622 | − | 44.9615i | −0.412472 | − | 1.80716i | −0.572338 | − | 0.820018i | \(-0.693963\pi\) |
0.159866 | − | 0.987139i | \(-0.448894\pi\) | |||||||
\(620\) | −2.54892 | + | 1.22749i | −0.102367 | + | 0.0492973i | ||||
\(621\) | −10.6823 | −0.428667 | ||||||||
\(622\) | 30.0776 | − | 14.4846i | 1.20600 | − | 0.580779i | ||||
\(623\) | 3.59299 | + | 4.50547i | 0.143950 | + | 0.180508i | ||||
\(624\) | 7.10723 | + | 8.91218i | 0.284517 | + | 0.356773i | ||||
\(625\) | −20.8174 | + | 10.0251i | −0.832697 | + | 0.401006i | ||||
\(626\) | 41.4306 | 1.65590 | ||||||||
\(627\) | 2.39224 | − | 1.15204i | 0.0955368 | − | 0.0460081i | ||||
\(628\) | 4.90515 | + | 21.4909i | 0.195737 | + | 0.857579i | ||||
\(629\) | 2.91185 | + | 1.40227i | 0.116103 | + | 0.0559124i | ||||
\(630\) | −6.57338 | − | 3.16557i | −0.261890 | − | 0.126119i | ||||
\(631\) | −2.81043 | + | 12.3133i | −0.111881 | + | 0.490185i | 0.887677 | + | 0.460467i | \(0.152318\pi\) |
−0.999558 | + | 0.0297178i | \(0.990539\pi\) | |||||||
\(632\) | −0.502688 | − | 0.630351i | −0.0199959 | − | 0.0250740i | ||||
\(633\) | −2.24764 | + | 2.81846i | −0.0893358 | + | 0.112024i | ||||
\(634\) | 5.63706 | + | 24.6976i | 0.223876 | + | 0.980867i | ||||
\(635\) | 0.831668 | − | 3.64377i | 0.0330037 | − | 0.144599i | ||||
\(636\) | 1.50753 | − | 1.89039i | 0.0597776 | − | 0.0749587i | ||||
\(637\) | 48.7157 | 1.93019 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 31.9584 | 1.26425 | ||||||||
\(640\) | 2.24429 | − | 2.81425i | 0.0887134 | − | 0.111243i | ||||
\(641\) | 8.67874 | − | 38.0241i | 0.342790 | − | 1.50186i | −0.450368 | − | 0.892843i | \(-0.648707\pi\) |
0.793157 | − | 0.609017i | \(-0.208436\pi\) | |||||||
\(642\) | −1.33124 | − | 5.83255i | −0.0525399 | − | 0.230192i | ||||
\(643\) | 25.7479 | − | 32.2869i | 1.01540 | − | 1.27327i | 0.0538762 | − | 0.998548i | \(-0.482842\pi\) |
0.961523 | − | 0.274723i | \(-0.0885862\pi\) | |||||||
\(644\) | 13.0233 | + | 16.3307i | 0.513188 | + | 0.643518i | ||||
\(645\) | −0.202907 | + | 0.888992i | −0.00798944 | + | 0.0350040i | ||||
\(646\) | −3.69202 | − | 1.77798i | −0.145261 | − | 0.0699538i | ||||
\(647\) | 16.1368 | + | 7.77109i | 0.634404 | + | 0.305513i | 0.723306 | − | 0.690527i | \(-0.242622\pi\) |
−0.0889021 | + | 0.996040i | \(0.528336\pi\) | |||||||
\(648\) | 2.19106 | + | 9.59967i | 0.0860730 | + | 0.377111i | ||||
\(649\) | −23.8998 | + | 11.5095i | −0.938148 | + | 0.451788i | ||||
\(650\) | −45.5338 | −1.78598 | ||||||||
\(651\) | −10.3204 | + | 4.97002i | −0.404487 | + | 0.194790i | ||||
\(652\) | 3.86108 | + | 4.84164i | 0.151211 | + | 0.189613i | ||||
\(653\) | 8.30529 | + | 10.4145i | 0.325011 | + | 0.407551i | 0.917314 | − | 0.398164i | \(-0.130353\pi\) |
−0.592303 | + | 0.805715i | \(0.701781\pi\) | |||||||
\(654\) | −1.19418 | + | 0.575086i | −0.0466960 | + | 0.0224876i | ||||
\(655\) | 0.162291 | 0.00634125 | ||||||||
\(656\) | −1.76271 | + | 0.848876i | −0.0688222 | + | 0.0331430i | ||||
\(657\) | 5.57942 | + | 24.4450i | 0.217674 | + | 0.953691i | ||||
\(658\) | 51.2851 | + | 24.6976i | 1.99930 | + | 0.962812i | ||||
\(659\) | 16.9073 | + | 8.14213i | 0.658615 | + | 0.317172i | 0.733171 | − | 0.680045i | \(-0.238040\pi\) |
−0.0745557 | + | 0.997217i | \(0.523754\pi\) | |||||||
\(660\) | −0.128334 | + | 0.562269i | −0.00499540 | + | 0.0218863i | ||||
\(661\) | −15.4182 | − | 19.3338i | −0.599698 | − | 0.751998i | 0.385633 | − | 0.922652i | \(-0.373983\pi\) |
−0.985331 | + | 0.170655i | \(0.945412\pi\) | |||||||
\(662\) | −15.6799 | + | 19.6620i | −0.609418 | + | 0.764186i | ||||
\(663\) | −0.570024 | − | 2.49744i | −0.0221379 | − | 0.0969924i | ||||
\(664\) | −2.84817 | + | 12.4786i | −0.110530 | + | 0.484265i | ||||
\(665\) | 1.84601 | − | 2.31482i | 0.0715852 | − | 0.0897650i | ||||
\(666\) | −14.7017 | −0.569680 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 18.0368 | 0.697866 | ||||||||
\(669\) | −6.08211 | + | 7.62672i | −0.235148 | + | 0.294866i | ||||
\(670\) | −0.0535716 | + | 0.234713i | −0.00206965 | + | 0.00906774i | ||||
\(671\) | 3.91939 | + | 17.1720i | 0.151306 | + | 0.662916i | ||||
\(672\) | −6.94989 | + | 8.71488i | −0.268098 | + | 0.336184i | ||||
\(673\) | 15.8632 | + | 19.8919i | 0.611483 | + | 0.766775i | 0.987118 | − | 0.159992i | \(-0.0511470\pi\) |
−0.375636 | + | 0.926767i | \(0.622576\pi\) | |||||||
\(674\) | −5.61260 | + | 24.5904i | −0.216189 | + | 0.947188i | ||||
\(675\) | 11.3357 | + | 5.45897i | 0.436310 | + | 0.210116i | ||||
\(676\) | −15.6102 | − | 7.51748i | −0.600393 | − | 0.289134i | ||||
\(677\) | 0.137195 | + | 0.601090i | 0.00527283 | + | 0.0231018i | 0.977496 | − | 0.210954i | \(-0.0676572\pi\) |
−0.972223 | + | 0.234056i | \(0.924800\pi\) | |||||||
\(678\) | −6.24309 | + | 3.00652i | −0.239765 | + | 0.115465i | ||||
\(679\) | 63.7730 | 2.44738 | ||||||||
\(680\) | −0.484271 | + | 0.233212i | −0.0185709 | + | 0.00894329i | ||||
\(681\) | 5.07188 | + | 6.35994i | 0.194355 | + | 0.243713i | ||||
\(682\) | −20.7962 | − | 26.0776i | −0.796327 | − | 0.998563i | ||||
\(683\) | −16.2371 | + | 7.81935i | −0.621294 | + | 0.299199i | −0.717924 | − | 0.696121i | \(-0.754908\pi\) |
0.0966308 | + | 0.995320i | \(0.469193\pi\) | |||||||
\(684\) | 7.15883 | 0.273725 | ||||||||
\(685\) | −4.25744 | + | 2.05027i | −0.162668 | + | 0.0783369i | ||||
\(686\) | 3.88620 | + | 17.0265i | 0.148376 | + | 0.650077i | ||||
\(687\) | −6.42543 | − | 3.09432i | −0.245145 | − | 0.118056i | ||||
\(688\) | −25.5465 | − | 12.3026i | −0.973952 | − | 0.469031i | ||||
\(689\) | 5.02781 | − | 22.0283i | 0.191544 | − | 0.839211i | ||||
\(690\) | 0.738250 | + | 0.925737i | 0.0281047 | + | 0.0352422i | ||||
\(691\) | 7.69769 | − | 9.65260i | 0.292834 | − | 0.367202i | −0.613551 | − | 0.789655i | \(-0.710259\pi\) |
0.906385 | + | 0.422453i | \(0.138831\pi\) | |||||||
\(692\) | −2.91723 | − | 12.7812i | −0.110896 | − | 0.485869i | ||||
\(693\) | 7.35086 | − | 32.2062i | 0.279236 | − | 1.22341i | ||||
\(694\) | −22.3056 | + | 27.9703i | −0.846708 | + | 1.06174i | ||||
\(695\) | −0.998081 | −0.0378594 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.439665 | 0.0166535 | ||||||||
\(698\) | −30.2446 | + | 37.9255i | −1.14477 | + | 1.43550i | ||||
\(699\) | 0.193750 | − | 0.848876i | 0.00732831 | − | 0.0321074i | ||||
\(700\) | −5.47434 | − | 23.9847i | −0.206911 | − | 0.906535i | ||||
\(701\) | −21.2594 | + | 26.6584i | −0.802955 | + | 1.00687i | 0.196696 | + | 0.980464i | \(0.436979\pi\) |
−0.999651 | + | 0.0264091i | \(0.991593\pi\) | |||||||
\(702\) | 15.0444 | + | 18.8650i | 0.567813 | + | 0.712015i | ||||
\(703\) | 1.32759 | − | 5.81656i | 0.0500711 | − | 0.219376i | ||||
\(704\) | −3.32855 | − | 1.60295i | −0.125450 | − | 0.0604133i | ||||
\(705\) | 1.11649 | + | 0.537673i | 0.0420494 | + | 0.0202499i | ||||
\(706\) | 1.60992 | + | 7.05350i | 0.0605900 | + | 0.265462i | ||||
\(707\) | 63.6299 | − | 30.6425i | 2.39305 | − | 1.15243i | ||||
\(708\) | 5.05562 | 0.190002 | ||||||||
\(709\) | −37.9267 | + | 18.2645i | −1.42437 | + | 0.685939i | −0.977941 | − | 0.208882i | \(-0.933018\pi\) |
−0.446426 | + | 0.894821i | \(0.647303\pi\) | |||||||
\(710\) | −4.57338 | − | 5.73483i | −0.171636 | − | 0.215224i | ||||
\(711\) | −1.03803 | − | 1.30165i | −0.0389292 | − | 0.0488157i | ||||
\(712\) | −1.73998 | + | 0.837930i | −0.0652085 | + | 0.0314028i | ||||
\(713\) | −26.2989 | −0.984901 | ||||||||
\(714\) | 3.24698 | − | 1.56366i | 0.121515 | − | 0.0585186i | ||||
\(715\) | 1.19926 | + | 5.25430i | 0.0448497 | + | 0.196500i | ||||
\(716\) | 6.44989 | + | 3.10610i | 0.241044 | + | 0.116080i | ||||
\(717\) | −3.59395 | − | 1.73076i | −0.134219 | − | 0.0646362i | ||||
\(718\) | −0.299249 | + | 1.31110i | −0.0111679 | + | 0.0489297i | ||||
\(719\) | −32.5800 | − | 40.8540i | −1.21503 | − | 1.52360i | −0.783362 | − | 0.621566i | \(-0.786497\pi\) |
−0.431667 | − | 0.902033i | \(-0.642074\pi\) | |||||||
\(720\) | 3.07942 | − | 3.86147i | 0.114763 | − | 0.143908i | ||||
\(721\) | −2.53534 | − | 11.1081i | −0.0944211 | − | 0.413686i | ||||
\(722\) | 5.93512 | − | 26.0034i | 0.220882 | − | 0.967748i | ||||
\(723\) | −5.52177 | + | 6.92408i | −0.205357 | + | 0.257509i | ||||
\(724\) | −8.28083 | −0.307755 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 2.02177 | 0.0750349 | ||||||||
\(727\) | −18.6953 | + | 23.4432i | −0.693370 | + | 0.869459i | −0.996509 | − | 0.0834876i | \(-0.973394\pi\) |
0.303138 | + | 0.952947i | \(0.401966\pi\) | |||||||
\(728\) | −6.33997 | + | 27.7772i | −0.234975 | + | 1.02949i | ||||
\(729\) | 3.75733 | + | 16.4619i | 0.139160 | + | 0.609702i | ||||
\(730\) | 3.58815 | − | 4.49939i | 0.132803 | − | 0.166530i | ||||
\(731\) | 3.97285 | + | 4.98180i | 0.146941 | + | 0.184259i | ||||
\(732\) | 0.746980 | − | 3.27273i | 0.0276092 | − | 0.120964i | ||||
\(733\) | 2.71595 | + | 1.30793i | 0.100316 | + | 0.0483096i | 0.483369 | − | 0.875417i | \(-0.339413\pi\) |
−0.383053 | + | 0.923726i | \(0.625127\pi\) | |||||||
\(734\) | −55.2781 | − | 26.6205i | −2.04035 | − | 0.982581i | ||||
\(735\) | 0.332010 | + | 1.45463i | 0.0122464 | + | 0.0536549i | ||||
\(736\) | −23.0574 | + | 11.1039i | −0.849907 | + | 0.409294i | ||||
\(737\) | −1.09006 | −0.0401531 | ||||||||
\(738\) | −1.80194 | + | 0.867767i | −0.0663302 | + | 0.0319430i | ||||
\(739\) | 12.9919 | + | 16.2914i | 0.477916 | + | 0.599288i | 0.961090 | − | 0.276237i | \(-0.0890874\pi\) |
−0.483174 | + | 0.875525i | \(0.660516\pi\) | |||||||
\(740\) | 0.807979 | + | 1.01317i | 0.0297019 | + | 0.0372450i | ||||
\(741\) | −4.26055 | + | 2.05177i | −0.156515 | + | 0.0753738i | ||||
\(742\) | 31.7875 | 1.16695 | ||||||||
\(743\) | −27.7189 | + | 13.3487i | −1.01691 | + | 0.489718i | −0.866643 | − | 0.498928i | \(-0.833727\pi\) |
−0.150266 | + | 0.988646i | \(0.548013\pi\) | |||||||
\(744\) | −0.854207 | − | 3.74253i | −0.0313168 | − | 0.137208i | ||||
\(745\) | −0.870896 | − | 0.419402i | −0.0319072 | − | 0.0153657i | ||||
\(746\) | −45.4587 | − | 21.8917i | −1.66436 | − | 0.801514i | ||||
\(747\) | −5.88135 | + | 25.7679i | −0.215188 | + | 0.942798i | ||||
\(748\) | 2.51275 | + | 3.15088i | 0.0918751 | + | 0.115208i | ||||
\(749\) | 18.8327 | − | 23.6155i | 0.688133 | − | 0.862892i | ||||
\(750\) | −0.628761 | − | 2.75478i | −0.0229591 | − | 0.100590i | ||||
\(751\) | −0.994492 | + | 4.35715i | −0.0362895 | + | 0.158995i | −0.989826 | − | 0.142283i | \(-0.954556\pi\) |
0.953537 | + | 0.301277i | \(0.0974130\pi\) | |||||||
\(752\) | −24.0254 | + | 30.1269i | −0.876117 | + | 1.09862i | ||||
\(753\) | 11.4843 | 0.418510 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.869167 | −0.0316322 | ||||||||
\(756\) | −8.12833 | + | 10.1926i | −0.295625 | + | 0.370702i | ||||
\(757\) | −1.88159 | + | 8.24379i | −0.0683876 | + | 0.299626i | −0.997542 | − | 0.0700652i | \(-0.977679\pi\) |
0.929155 | + | 0.369691i | \(0.120536\pi\) | |||||||
\(758\) | 9.17456 | + | 40.1964i | 0.333235 | + | 1.46000i | ||||
\(759\) | −3.34266 | + | 4.19156i | −0.121331 | + | 0.152144i | ||||
\(760\) | 0.618645 | + | 0.775757i | 0.0224406 | + | 0.0281397i | ||||
\(761\) | −5.49516 | + | 24.0759i | −0.199199 | + | 0.872749i | 0.772216 | + | 0.635361i | \(0.219149\pi\) |
−0.971415 | + | 0.237388i | \(0.923709\pi\) | |||||||
\(762\) | −7.56638 | − | 3.64377i | −0.274101 | − | 0.132000i | ||||
\(763\) | −6.02930 | − | 2.90356i | −0.218275 | − | 0.105116i | ||||
\(764\) | −5.21983 | − | 22.8696i | −0.188847 | − | 0.827392i | ||||
\(765\) | −1.00000 | + | 0.481575i | −0.0361551 | + | 0.0174114i | ||||
\(766\) | 21.3676 | 0.772045 | ||||||||
\(767\) | 42.5652 | − | 20.4983i | 1.53694 | − | 0.740152i | ||||
\(768\) | −5.74698 | − | 7.20648i | −0.207376 | − | 0.260042i | ||||
\(769\) | −18.7939 | − | 23.5668i | −0.677724 | − | 0.849839i | 0.317418 | − | 0.948286i | \(-0.397184\pi\) |
−0.995142 | + | 0.0984462i | \(0.968613\pi\) | |||||||
\(770\) | −6.83124 | + | 3.28975i | −0.246181 | + | 0.118554i | ||||
\(771\) | −5.31873 | −0.191549 | ||||||||
\(772\) | 12.2289 | − | 5.88911i | 0.440126 | − | 0.211954i | ||||
\(773\) | 1.26324 | + | 5.53462i | 0.0454356 | + | 0.199067i | 0.992552 | − | 0.121825i | \(-0.0388747\pi\) |
−0.947116 | + | 0.320892i | \(0.896018\pi\) | |||||||
\(774\) | −26.1151 | − | 12.5763i | −0.938686 | − | 0.452048i | ||||
\(775\) | 27.9073 | + | 13.4394i | 1.00246 | + | 0.482759i | ||||
\(776\) | −4.75571 | + | 20.8361i | −0.170720 | + | 0.747973i | ||||
\(777\) | 3.27144 | + | 4.10225i | 0.117362 | + | 0.147168i | ||||
\(778\) | 11.6746 | − | 14.6394i | 0.418553 | − | 0.524849i | ||||
\(779\) | −0.180604 | − | 0.791277i | −0.00647081 | − | 0.0283504i | ||||
\(780\) | 0.228562 | − | 1.00139i | 0.00818382 | − | 0.0358557i | ||||
\(781\) | 20.7074 | − | 25.9662i | 0.740968 | − | 0.929145i | ||||
\(782\) | 8.27413 | 0.295882 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −46.3957 | −1.65699 | ||||||||
\(785\) | −3.93362 | + | 4.93261i | −0.140397 | + | 0.176052i | ||||
\(786\) | 0.0811457 | − | 0.355523i | 0.00289437 | − | 0.0126811i | ||||
\(787\) | 0.803134 | + | 3.51876i | 0.0286286 | + | 0.125430i | 0.987223 | − | 0.159345i | \(-0.0509382\pi\) |
−0.958594 | + | 0.284775i | \(0.908081\pi\) | |||||||
\(788\) | −6.53116 | + | 8.18982i | −0.232663 | + | 0.291750i | ||||
\(789\) | −0.0923264 | − | 0.115774i | −0.00328691 | − | 0.00412165i | ||||
\(790\) | −0.0850306 | + | 0.372543i | −0.00302525 | + | 0.0132545i | ||||
\(791\) | −31.5209 | − | 15.1797i | −1.12075 | − | 0.539726i | ||||
\(792\) | 9.97434 | + | 4.80339i | 0.354423 | + | 0.170681i | ||||
\(793\) | −6.98039 | − | 30.5831i | −0.247881 | − | 1.08604i | ||||
\(794\) | −13.3409 | + | 6.42465i | −0.473452 | + | 0.228002i | ||||
\(795\) | 0.692021 | 0.0245435 | ||||||||
\(796\) | 7.43900 | − | 3.58243i | 0.263668 | − | 0.126976i | ||||
\(797\) | 19.1930 | + | 24.0672i | 0.679850 | + | 0.852505i | 0.995340 | − | 0.0964236i | \(-0.0307403\pi\) |
−0.315490 | + | 0.948929i | \(0.602169\pi\) | |||||||
\(798\) | −4.14795 | − | 5.20136i | −0.146836 | − | 0.184126i | ||||
\(799\) | 7.80194 | − | 3.75722i | 0.276013 | − | 0.132921i | ||||
\(800\) | 30.1420 | 1.06568 | ||||||||
\(801\) | −3.59299 | + | 1.73029i | −0.126952 | + | 0.0611369i | ||||
\(802\) | −9.97650 | − | 43.7099i | −0.352282 | − | 1.54345i | ||||
\(803\) | 23.4768 | + | 11.3058i | 0.828478 | + | 0.398974i | ||||
\(804\) | 0.187177 | + | 0.0901398i | 0.00660123 | + | 0.00317898i | ||||
\(805\) | −1.33028 | + | 5.82834i | −0.0468863 | + | 0.205422i | ||||
\(806\) | 37.0378 | + | 46.4439i | 1.30460 | + | 1.63592i | ||||
\(807\) | −0.295233 | + | 0.370210i | −0.0103927 | + | 0.0130320i | ||||
\(808\) | 5.26659 | + | 23.0745i | 0.185278 | + | 0.811757i | ||||
\(809\) | 1.16541 | − | 5.10598i | 0.0409735 | − | 0.179517i | −0.950300 | − | 0.311334i | \(-0.899224\pi\) |
0.991274 | + | 0.131817i | \(0.0420813\pi\) | |||||||
\(810\) | 2.90970 | − | 3.64865i | 0.102236 | − | 0.128200i | ||||
\(811\) | 41.8646 | 1.47006 | 0.735032 | − | 0.678032i | \(-0.237167\pi\) | ||||
0.735032 | + | 0.678032i | \(0.237167\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −7.32736 | −0.256982 | ||||||||
\(814\) | −9.52595 | + | 11.9452i | −0.333884 | + | 0.418678i | ||||
\(815\) | −0.394396 | + | 1.72796i | −0.0138151 | + | 0.0605278i | ||||
\(816\) | 0.542877 | + | 2.37850i | 0.0190045 | + | 0.0832641i | ||||
\(817\) | 7.33393 | − | 9.19646i | 0.256582 | − | 0.321743i | ||||
\(818\) | −21.2289 | − | 26.6201i | −0.742250 | − | 0.930752i | ||||
\(819\) | −13.0918 | + | 57.3589i | −0.457464 | + | 2.00428i | ||||
\(820\) | 0.158834 | + | 0.0764902i | 0.00554671 | + | 0.00267115i | ||||
\(821\) | −13.8802 | − | 6.68433i | −0.484421 | − | 0.233285i | 0.175701 | − | 0.984444i | \(-0.443781\pi\) |
−0.660121 | + | 0.751159i | \(0.729495\pi\) | |||||||
\(822\) | 2.36270 | + | 10.3517i | 0.0824086 | + | 0.361056i | ||||
\(823\) | −32.1247 | + | 15.4705i | −1.11980 | + | 0.539266i | −0.899830 | − | 0.436241i | \(-0.856310\pi\) |
−0.219968 | + | 0.975507i | \(0.570595\pi\) | |||||||
\(824\) | 3.81833 | 0.133018 | ||||||||
\(825\) | 5.68910 | − | 2.73972i | 0.198069 | − | 0.0953850i | ||||
\(826\) | 41.4403 | + | 51.9644i | 1.44189 | + | 1.80807i | ||||
\(827\) | 32.4550 | + | 40.6973i | 1.12857 | + | 1.41518i | 0.896812 | + | 0.442411i | \(0.145877\pi\) |
0.231760 | + | 0.972773i | \(0.425552\pi\) | |||||||
\(828\) | −13.0233 | + | 6.27167i | −0.452590 | + | 0.217956i | ||||
\(829\) | 13.4168 | 0.465986 | 0.232993 | − | 0.972478i | \(-0.425148\pi\) | ||||
0.232993 | + | 0.972478i | \(0.425148\pi\) | |||||||
\(830\) | 5.46562 | − | 2.63210i | 0.189714 | − | 0.0913616i | ||||
\(831\) | 0.653030 | + | 2.86111i | 0.0226534 | + | 0.0992508i | ||||
\(832\) | 5.92812 | + | 2.85483i | 0.205520 | + | 0.0989734i | ||||
\(833\) | 9.39373 | + | 4.52378i | 0.325474 | + | 0.156740i | ||||
\(834\) | −0.499041 | + | 2.18644i | −0.0172804 | + | 0.0757102i | ||||
\(835\) | 3.21864 | + | 4.03604i | 0.111385 | + | 0.139673i | ||||
\(836\) | 4.63856 | − | 5.81656i | 0.160428 | − | 0.201170i | ||||
\(837\) | −3.65250 | − | 16.0026i | −0.126249 | − | 0.553132i | ||||
\(838\) | 4.36754 | − | 19.1355i | 0.150874 | − | 0.661024i | ||||
\(839\) | 19.3602 | − | 24.2769i | 0.668387 | − | 0.838131i | −0.325840 | − | 0.945425i | \(-0.605647\pi\) |
0.994227 | + | 0.107294i | \(0.0342185\pi\) | |||||||
\(840\) | −0.872625 | −0.0301084 | ||||||||
\(841\) | 0 | 0 | ||||||||
\(842\) | 35.9681 | 1.23954 | ||||||||
\(843\) | 8.47285 | − | 10.6246i | 0.291821 | − | 0.365931i | ||||
\(844\) | −2.24764 | + | 9.84757i | −0.0773671 | + | 0.338967i | ||||
\(845\) | −1.10345 | − | 4.83452i | −0.0379598 | − | 0.166313i | ||||
\(846\) | −24.5601 | + | 30.7974i | −0.844394 | + | 1.05884i | ||||
\(847\) | 6.36443 | + | 7.98074i | 0.218684 | + | 0.274222i | ||||
\(848\) | −4.78836 | + | 20.9792i | −0.164433 | + | 0.720428i | ||||
\(849\) | −1.42543 | − | 0.686450i | −0.0489205 | − | 0.0235589i | ||||
\(850\) | −8.78017 | − | 4.22831i | −0.301157 | − | 0.145030i | ||||
\(851\) | 2.68060 | + | 11.7445i | 0.0918899 | + | 0.402596i | ||||
\(852\) | −5.70291 | + | 2.74638i | −0.195378 | + | 0.0940893i | ||||
\(853\) | −21.3357 | −0.730521 | −0.365261 | − | 0.930905i | \(-0.619020\pi\) | ||||
−0.365261 | + | 0.930905i | \(0.619020\pi\) | |||||||
\(854\) | 39.7618 | − | 19.1483i | 1.36062 | − | 0.655241i | ||||
\(855\) | 1.27748 | + | 1.60191i | 0.0436889 | + | 0.0547841i | ||||
\(856\) | 6.31133 | + | 7.91416i | 0.215717 | + | 0.270500i | ||||
\(857\) | 8.85839 | − | 4.26597i | 0.302597 | − | 0.145723i | −0.276424 | − | 0.961036i | \(-0.589149\pi\) |
0.579021 | + | 0.815313i | \(0.303435\pi\) | |||||||
\(858\) | 12.1099 | 0.413426 | ||||||||
\(859\) | −46.6555 | + | 22.4681i | −1.59187 | + | 0.766602i | −0.999244 | − | 0.0388778i | \(-0.987622\pi\) |
−0.592623 | + | 0.805480i | \(0.701907\pi\) | |||||||
\(860\) | 0.568532 | + | 2.49090i | 0.0193868 | + | 0.0849390i | ||||
\(861\) | 0.643104 | + | 0.309703i | 0.0219169 | + | 0.0105546i | ||||
\(862\) | 49.0136 | + | 23.6037i | 1.66941 | + | 0.803946i | ||||
\(863\) | 3.62147 | − | 15.8667i | 0.123276 | − | 0.540108i | −0.875141 | − | 0.483868i | \(-0.839232\pi\) |
0.998417 | − | 0.0562402i | \(-0.0179113\pi\) | |||||||
\(864\) | −9.95891 | − | 12.4881i | −0.338809 | − | 0.424853i | ||||
\(865\) | 2.33944 | − | 2.93356i | 0.0795433 | − | 0.0997441i | ||||
\(866\) | −8.09611 | − | 35.4714i | −0.275117 | − | 1.20537i | ||||
\(867\) | −1.56153 | + | 6.84152i | −0.0530324 | + | 0.232350i | ||||
\(868\) | −20.0112 | + | 25.0932i | −0.679224 | + | 0.851720i | ||||
\(869\) | −1.73019 | −0.0586925 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.94139 | 0.0657816 | ||||||||
\(872\) | 1.39828 | − | 1.75339i | 0.0473518 | − | 0.0593772i | ||||
\(873\) | −9.82036 | + | 43.0258i | −0.332369 | + | 1.45620i | ||||
\(874\) | −3.39881 | − | 14.8912i | −0.114967 | − | 0.503701i | ||||
\(875\) | 8.89493 | − | 11.1539i | 0.300703 | − | 0.377070i | ||||
\(876\) | −3.09634 | − | 3.88269i | −0.104616 | − | 0.131184i | ||||
\(877\) | −3.29470 | + | 14.4350i | −0.111254 | + | 0.487436i | 0.888346 | + | 0.459174i | \(0.151855\pi\) |
−0.999601 | + | 0.0282623i | \(0.991003\pi\) | |||||||
\(878\) | 17.3143 | + | 8.33813i | 0.584330 | + | 0.281398i | ||||
\(879\) | −13.1838 | − | 6.34900i | −0.444679 | − | 0.214146i | ||||
\(880\) | −1.14214 | − | 5.00406i | −0.0385017 | − | 0.168687i | ||||
\(881\) | −16.7920 | + | 8.08661i | −0.565737 | + | 0.272445i | −0.694813 | − | 0.719190i | \(-0.744513\pi\) |
0.129076 | + | 0.991635i | \(0.458799\pi\) | |||||||
\(882\) | −47.4282 | −1.59699 | ||||||||
\(883\) | 29.1857 | − | 14.0551i | 0.982178 | − | 0.472992i | 0.127325 | − | 0.991861i | \(-0.459361\pi\) |
0.854854 | + | 0.518869i | \(0.173647\pi\) | |||||||
\(884\) | −4.47517 | − | 5.61169i | −0.150516 | − | 0.188742i | ||||
\(885\) | 0.902165 | + | 1.13128i | 0.0303260 | + | 0.0380275i | ||||
\(886\) | −33.0383 | + | 15.9104i | −1.10994 | + | 0.534521i | ||||
\(887\) | 6.16288 | 0.206929 | 0.103465 | − | 0.994633i | \(-0.467007\pi\) | ||||
0.103465 | + | 0.994633i | \(0.467007\pi\) | |||||||
\(888\) | −1.58426 | + | 0.762940i | −0.0531643 | + | 0.0256026i | ||||
\(889\) | −9.43512 | − | 41.3379i | −0.316444 | − | 1.38643i | ||||
\(890\) | 0.824667 | + | 0.397139i | 0.0276429 | + | 0.0133121i | ||||
\(891\) | 19.0378 | + | 9.16812i | 0.637790 | + | 0.307144i | ||||
\(892\) | −6.08211 | + | 26.6474i | −0.203644 | + | 0.892222i | ||||
\(893\) | −9.96681 | − | 12.4980i | −0.333527 | − | 0.418229i | ||||
\(894\) | −1.35421 | + | 1.69812i | −0.0452915 | + | 0.0567937i | ||||
\(895\) | 0.455927 | + | 1.99755i | 0.0152400 | + | 0.0667706i | ||||
\(896\) | 9.08695 | − | 39.8125i | 0.303574 | − | 1.33004i | ||||
\(897\) | 5.95324 | − | 7.46513i | 0.198773 | − | 0.249253i | ||||
\(898\) | −34.9995 | −1.16795 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 17.0248 | 0.567492 | ||||||||
\(901\) | 3.01507 | − | 3.78077i | 0.100446 | − | 0.125956i | ||||
\(902\) | −0.462500 | + | 2.02635i | −0.0153996 | + | 0.0674699i | ||||
\(903\) | 2.30194 | + | 10.0854i | 0.0766037 | + | 0.335623i | ||||
\(904\) | 7.31013 | − | 9.16662i | 0.243131 | − | 0.304877i | ||||
\(905\) | −1.47770 | − | 1.85297i | −0.0491203 | − | 0.0615949i | ||||
\(906\) | −0.434584 | + | 1.90404i | −0.0144381 | + | 0.0632574i | ||||
\(907\) | 39.6284 | + | 19.0840i | 1.31584 | + | 0.633675i | 0.954347 | − | 0.298700i | \(-0.0965531\pi\) |
0.361492 | + | 0.932375i | \(0.382267\pi\) | |||||||
\(908\) | 20.5356 | + | 9.88944i | 0.681499 | + | 0.328193i | ||||
\(909\) | 10.8753 | + | 47.6479i | 0.360711 | + | 1.58038i | ||||
\(910\) | 12.1664 | − | 5.85901i | 0.403311 | − | 0.194224i | ||||
\(911\) | 25.6233 | 0.848936 | 0.424468 | − | 0.905443i | \(-0.360461\pi\) | ||||
0.424468 | + | 0.905443i | \(0.360461\pi\) | |||||||
\(912\) | 4.05765 | − | 1.95406i | 0.134362 | − | 0.0647054i | ||||
\(913\) | 17.1256 | + | 21.4749i | 0.566776 | + | 0.710715i | ||||
\(914\) | −13.9547 | − | 17.4987i | −0.461581 | − | 0.578805i | ||||
\(915\) | 0.865625 | − | 0.416863i | 0.0286167 | − | 0.0137811i | ||||
\(916\) | −19.9825 | −0.660242 | ||||||||
\(917\) | 1.65883 | − | 0.798852i | 0.0547795 | − | 0.0263804i | ||||
\(918\) | 1.14914 | + | 5.03473i | 0.0379274 | + | 0.166171i | ||||
\(919\) | 5.62349 | + | 2.70813i | 0.185502 | + | 0.0893330i | 0.524329 | − | 0.851516i | \(-0.324316\pi\) |
−0.338828 | + | 0.940848i | \(0.610030\pi\) | |||||||
\(920\) | −1.80505 | − | 0.869268i | −0.0595108 | − | 0.0286589i | ||||
\(921\) | −1.45281 | + | 6.36518i | −0.0478718 | + | 0.209740i | ||||
\(922\) | 24.6564 | + | 30.9182i | 0.812017 | + | 1.01824i | ||||
\(923\) | −36.8796 | + | 46.2456i | −1.21391 | + | 1.52219i | ||||
\(924\) | 1.45593 | + | 6.37883i | 0.0478965 | + | 0.209848i | ||||
\(925\) | 3.15721 | − | 13.8326i | 0.103808 | − | 0.454814i | ||||
\(926\) | −37.0834 | + | 46.5011i | −1.21863 | + | 1.52812i | ||||
\(927\) | 7.88471 | 0.258968 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −24.5133 | −0.804256 | −0.402128 | − | 0.915583i | \(-0.631729\pi\) | ||||
−0.402128 | + | 0.915583i | \(0.631729\pi\) | |||||||
\(930\) | −1.13437 | + | 1.42246i | −0.0371976 | + | 0.0466443i | ||||
\(931\) | 4.28286 | − | 18.7644i | 0.140365 | − | 0.614979i | ||||
\(932\) | −0.542877 | − | 2.37850i | −0.0177825 | − | 0.0779103i | ||||
\(933\) | 5.14071 | − | 6.44625i | 0.168299 | − | 0.211041i | ||||
\(934\) | 29.3267 | + | 36.7745i | 0.959599 | + | 1.20330i | ||||
\(935\) | −0.256668 | + | 1.12454i | −0.00839395 | + | 0.0367763i | ||||
\(936\) | −17.7642 | − | 8.55479i | −0.580641 | − | 0.279622i | ||||
\(937\) | 3.68449 | + | 1.77436i | 0.120367 | + | 0.0579657i | 0.493098 | − | 0.869974i | \(-0.335864\pi\) |
−0.372731 | + | 0.927939i | \(0.621579\pi\) | |||||||
\(938\) | 0.607760 | + | 2.66277i | 0.0198441 | + | 0.0869426i | ||||
\(939\) | 9.21917 | − | 4.43972i | 0.300856 | − | 0.144885i | ||||
\(940\) | 3.47219 | 0.113250 | ||||||||
\(941\) | −5.55280 | + | 2.67409i | −0.181016 | + | 0.0871728i | −0.522197 | − | 0.852825i | \(-0.674887\pi\) |
0.341181 | + | 0.939998i | \(0.389173\pi\) | |||||||
\(942\) | 8.83877 | + | 11.0835i | 0.287983 | + | 0.361119i | ||||
\(943\) | 1.02177 | + | 1.28126i | 0.0332734 | + | 0.0417235i | ||||
\(944\) | −40.5381 | + | 19.5221i | −1.31940 | + | 0.635391i | ||||
\(945\) | −3.73125 | −0.121378 | ||||||||
\(946\) | −27.1395 | + | 13.0697i | −0.882382 | + | 0.424933i | ||||
\(947\) | −11.0598 | − | 48.4562i | −0.359395 | − | 1.57461i | −0.754704 | − | 0.656065i | \(-0.772220\pi\) |
0.395309 | − | 0.918548i | \(-0.370638\pi\) | |||||||
\(948\) | 0.297093 | + | 0.143073i | 0.00964914 | + | 0.00464678i | ||||
\(949\) | −41.8119 | − | 20.1356i | −1.35727 | − | 0.653628i | ||||
\(950\) | −4.00312 | + | 17.5388i | −0.129878 | + | 0.569034i | ||||
\(951\) | 3.90097 | + | 4.89166i | 0.126498 | + | 0.158623i | ||||
\(952\) | −3.80194 | + | 4.76748i | −0.123222 | + | 0.154515i | ||||
\(953\) | −3.93541 | − | 17.2422i | −0.127480 | − | 0.558529i | −0.997815 | − | 0.0660678i | \(-0.978955\pi\) |
0.870335 | − | 0.492461i | \(-0.163902\pi\) | |||||||
\(954\) | −4.89493 | + | 21.4461i | −0.158479 | + | 0.694343i | ||||
\(955\) | 4.18598 | − | 5.24905i | 0.135455 | − | 0.169855i | ||||
\(956\) | −11.1769 | −0.361486 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −59.5827 | −1.92503 | ||||||||
\(959\) | −33.4245 | + | 41.9130i | −1.07933 | + | 1.35344i | ||||
\(960\) | −0.0448424 | + | 0.196468i | −0.00144728 | + | 0.00634096i | ||||
\(961\) | −2.09395 | − | 9.17419i | −0.0675468 | − | 0.295942i | ||||
\(962\) | 16.9656 | − | 21.2742i | 0.546993 | − | 0.685908i | ||||
\(963\) | 13.0327 | + | 16.3424i | 0.419971 | + | 0.526628i | ||||
\(964\) | −5.52177 | + | 24.1925i | −0.177844 | + | 0.779187i | ||||
\(965\) | 3.50000 | + | 1.68551i | 0.112669 | + | 0.0542585i | ||||
\(966\) | 12.1027 | + | 5.82834i | 0.389397 | + | 0.187524i | ||||
\(967\) | −2.86904 | − | 12.5701i | −0.0922620 | − | 0.404226i | 0.907617 | − | 0.419800i | \(-0.137900\pi\) |
−0.999879 | + | 0.0155736i | \(0.995043\pi\) | |||||||
\(968\) | −3.08211 | + | 1.48426i | −0.0990626 | + | 0.0477060i | ||||
\(969\) | −1.01208 | −0.0325127 | ||||||||
\(970\) | 9.12618 | − | 4.39494i | 0.293024 | − | 0.141113i | ||||
\(971\) | −3.01610 | − | 3.78207i | −0.0967912 | − | 0.121372i | 0.731077 | − | 0.682295i | \(-0.239018\pi\) |
−0.827868 | + | 0.560923i | \(0.810447\pi\) | |||||||
\(972\) | −8.53348 | − | 10.7006i | −0.273712 | − | 0.343223i | ||||
\(973\) | −10.2017 | + | 4.91288i | −0.327052 | + | 0.157500i | ||||
\(974\) | −18.3013 | −0.586411 | ||||||||
\(975\) | −10.1322 | + | 4.87942i | −0.324491 | + | 0.156266i | ||||
\(976\) | 6.64795 | + | 29.1266i | 0.212796 | + | 0.932319i | ||||
\(977\) | −14.8138 | − | 7.13394i | −0.473935 | − | 0.228235i | 0.181640 | − | 0.983365i | \(-0.441859\pi\) |
−0.655575 | + | 0.755130i | \(0.727574\pi\) | |||||||
\(978\) | 3.58815 | + | 1.72796i | 0.114736 | + | 0.0552541i | ||||
\(979\) | −0.922207 | + | 4.04045i | −0.0294739 | + | 0.129133i | ||||
\(980\) | 2.60656 | + | 3.26853i | 0.0832636 | + | 0.104409i | ||||
\(981\) | 2.88740 | − | 3.62068i | 0.0921874 | − | 0.115599i | ||||
\(982\) | −7.89181 | − | 34.5763i | −0.251838 | − | 1.10337i | ||||
\(983\) | 5.89666 | − | 25.8349i | 0.188074 | − | 0.824007i | −0.789557 | − | 0.613678i | \(-0.789689\pi\) |
0.977631 | − | 0.210329i | \(-0.0674535\pi\) | |||||||
\(984\) | −0.149145 | + | 0.187022i | −0.00475457 | + | 0.00596204i | ||||
\(985\) | −2.99808 | −0.0955268 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 14.0586 | 0.447490 | ||||||||
\(988\) | −8.26122 | + | 10.3592i | −0.262824 | + | 0.329571i | ||||
\(989\) | −5.28501 | + | 23.1551i | −0.168054 | + | 0.736291i | ||||
\(990\) | −1.16756 | − | 5.11543i | −0.0371076 | − | 0.162579i | ||||
\(991\) | 25.1930 | − | 31.5910i | 0.800281 | − | 1.00352i | −0.199440 | − | 0.979910i | \(-0.563912\pi\) |
0.999721 | − | 0.0236111i | \(-0.00751634\pi\) | |||||||
\(992\) | −24.5179 | − | 30.7445i | −0.778444 | − | 0.976137i | ||||
\(993\) | −1.38212 | + | 6.05548i | −0.0438604 | + | 0.192165i | ||||
\(994\) | −74.9747 | − | 36.1059i | −2.37805 | − | 1.14521i | ||||
\(995\) | 2.12910 | + | 1.02532i | 0.0674971 | + | 0.0325049i | ||||
\(996\) | −1.16487 | − | 5.10365i | −0.0369105 | − | 0.161715i | ||||
\(997\) | −21.1325 | + | 10.1769i | −0.669273 | + | 0.322305i | −0.737483 | − | 0.675366i | \(-0.763986\pi\) |
0.0682093 | + | 0.997671i | \(0.478271\pi\) | |||||||
\(998\) | 50.1831 | 1.58852 | ||||||||
\(999\) | −6.77413 | + | 3.26225i | −0.214324 | + | 0.103213i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))