Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(165,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.165");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.h (of order \(3\), degree \(2\), 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{11} + 7x^{10} - 2x^{9} + 33x^{8} - 11x^{7} + 55x^{6} + 17x^{5} + 47x^{4} + x^{3} + 8x^{2} + x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 471.1 | ||
Root | \(-0.181721 - 0.314749i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.471 |
Dual form | 637.2.h.l.165.1 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.38804 | −1.68860 | −0.844299 | − | 0.535873i | \(-0.819983\pi\) | ||||
−0.844299 | + | 0.535873i | \(0.819983\pi\) | |||||||
\(3\) | −1.37574 | + | 2.38285i | −0.794283 | + | 1.37574i | 0.129010 | + | 0.991643i | \(0.458820\pi\) |
−0.923293 | + | 0.384096i | \(0.874513\pi\) | |||||||
\(4\) | 3.70272 | 1.85136 | ||||||||
\(5\) | 0.491140 | − | 0.850679i | 0.219644 | − | 0.380435i | −0.735055 | − | 0.678008i | \(-0.762844\pi\) |
0.954699 | + | 0.297572i | \(0.0961769\pi\) | |||||||
\(6\) | 3.28532 | − | 5.69033i | 1.34122 | − | 2.32307i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −4.06616 | −1.43761 | ||||||||
\(9\) | −2.28532 | − | 3.95828i | −0.761772 | − | 1.31943i | ||||
\(10\) | −1.17286 | + | 2.03145i | −0.370891 | + | 0.642402i | ||||
\(11\) | 0.293901 | − | 0.509052i | 0.0886146 | − | 0.153485i | −0.818311 | − | 0.574775i | \(-0.805089\pi\) |
0.906926 | + | 0.421291i | \(0.138423\pi\) | |||||||
\(12\) | −5.09398 | + | 8.82303i | −1.47051 | + | 2.54699i | ||||
\(13\) | −2.39227 | + | 2.69760i | −0.663496 | + | 0.748179i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.35136 | + | 2.34063i | 0.348920 | + | 0.604347i | ||||
\(16\) | 2.30470 | 0.576176 | ||||||||
\(17\) | 6.45420 | 1.56537 | 0.782687 | − | 0.622416i | \(-0.213849\pi\) | ||||
0.782687 | + | 0.622416i | \(0.213849\pi\) | |||||||
\(18\) | 5.45742 | + | 9.45253i | 1.28633 | + | 2.22798i | ||||
\(19\) | −1.91345 | − | 3.31419i | −0.438975 | − | 0.760327i | 0.558636 | − | 0.829413i | \(-0.311325\pi\) |
−0.997611 | + | 0.0690863i | \(0.977992\pi\) | |||||||
\(20\) | 1.81855 | − | 3.14983i | 0.406641 | − | 0.704323i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.701847 | + | 1.21563i | −0.149634 | + | 0.259174i | ||||
\(23\) | 8.26001 | 1.72233 | 0.861166 | − | 0.508324i | \(-0.169735\pi\) | ||||
0.861166 | + | 0.508324i | \(0.169735\pi\) | |||||||
\(24\) | 5.59398 | − | 9.68906i | 1.14187 | − | 1.97777i | ||||
\(25\) | 2.01756 | + | 3.49452i | 0.403513 | + | 0.698904i | ||||
\(26\) | 5.71283 | − | 6.44197i | 1.12038 | − | 1.26337i | ||||
\(27\) | 4.32156 | 0.831685 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.98009 | + | 3.42962i | 0.367694 | + | 0.636864i | 0.989205 | − | 0.146541i | \(-0.0468141\pi\) |
−0.621511 | + | 0.783406i | \(0.713481\pi\) | |||||||
\(30\) | −3.22710 | − | 5.58950i | −0.589185 | − | 1.02050i | ||||
\(31\) | −1.49436 | − | 2.58831i | −0.268395 | − | 0.464874i | 0.700053 | − | 0.714091i | \(-0.253160\pi\) |
−0.968448 | + | 0.249218i | \(0.919827\pi\) | |||||||
\(32\) | 2.62861 | 0.464676 | ||||||||
\(33\) | 0.808663 | + | 1.40065i | 0.140770 | + | 0.243821i | ||||
\(34\) | −15.4129 | −2.64329 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −8.46189 | − | 14.6564i | −1.41031 | − | 2.44274i | ||||
\(37\) | 1.75588 | 0.288665 | 0.144333 | − | 0.989529i | \(-0.453896\pi\) | ||||
0.144333 | + | 0.989529i | \(0.453896\pi\) | |||||||
\(38\) | 4.56938 | + | 7.91440i | 0.741252 | + | 1.28389i | ||||
\(39\) | −3.13683 | − | 9.41161i | −0.502295 | − | 1.50706i | ||||
\(40\) | −1.99705 | + | 3.45900i | −0.315762 | + | 0.546916i | ||||
\(41\) | 1.83584 | + | 3.17977i | 0.286710 | + | 0.496597i | 0.973023 | − | 0.230710i | \(-0.0741049\pi\) |
−0.686312 | + | 0.727307i | \(0.740772\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.19042 | + | 5.52598i | −0.486535 | + | 0.842703i | −0.999880 | − | 0.0154788i | \(-0.995073\pi\) |
0.513345 | + | 0.858182i | \(0.328406\pi\) | |||||||
\(44\) | 1.08823 | − | 1.88488i | 0.164058 | − | 0.284156i | ||||
\(45\) | −4.48964 | −0.669276 | ||||||||
\(46\) | −19.7252 | −2.90832 | ||||||||
\(47\) | −2.17030 | + | 3.75906i | −0.316570 | + | 0.548316i | −0.979770 | − | 0.200127i | \(-0.935865\pi\) |
0.663200 | + | 0.748442i | \(0.269198\pi\) | |||||||
\(48\) | −3.17067 | + | 5.49176i | −0.457647 | + | 0.792668i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −4.81802 | − | 8.34505i | −0.681370 | − | 1.18017i | ||||
\(51\) | −8.87930 | + | 15.3794i | −1.24335 | + | 2.15355i | ||||
\(52\) | −8.85791 | + | 9.98846i | −1.22837 | + | 1.38515i | ||||
\(53\) | −0.212770 | − | 0.368529i | −0.0292263 | − | 0.0506214i | 0.851042 | − | 0.525097i | \(-0.175971\pi\) |
−0.880269 | + | 0.474476i | \(0.842638\pi\) | |||||||
\(54\) | −10.3200 | −1.40438 | ||||||||
\(55\) | −0.288693 | − | 0.500031i | −0.0389274 | − | 0.0674242i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 10.5296 | 1.39468 | ||||||||
\(58\) | −4.72853 | − | 8.19006i | −0.620887 | − | 1.07541i | ||||
\(59\) | −6.00863 | −0.782256 | −0.391128 | − | 0.920336i | \(-0.627915\pi\) | ||||
−0.391128 | + | 0.920336i | \(0.627915\pi\) | |||||||
\(60\) | 5.00371 | + | 8.66669i | 0.645977 | + | 1.11886i | ||||
\(61\) | 1.10337 | + | 1.91109i | 0.141272 | + | 0.244691i | 0.927976 | − | 0.372640i | \(-0.121547\pi\) |
−0.786704 | + | 0.617331i | \(0.788214\pi\) | |||||||
\(62\) | 3.56859 | + | 6.18097i | 0.453211 | + | 0.784985i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −10.8866 | −1.36083 | ||||||||
\(65\) | 1.11985 | + | 3.35995i | 0.138901 | + | 0.416751i | ||||
\(66\) | −1.93112 | − | 3.34479i | −0.237704 | − | 0.411716i | ||||
\(67\) | −3.50651 | + | 6.07346i | −0.428389 | + | 0.741991i | −0.996730 | − | 0.0808015i | \(-0.974252\pi\) |
0.568341 | + | 0.822793i | \(0.307585\pi\) | |||||||
\(68\) | 23.8981 | 2.89807 | ||||||||
\(69\) | −11.3636 | + | 19.6824i | −1.36802 | + | 2.36948i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.80127 | + | 3.11988i | −0.213771 | + | 0.370262i | −0.952892 | − | 0.303311i | \(-0.901908\pi\) |
0.739121 | + | 0.673573i | \(0.235241\pi\) | |||||||
\(72\) | 9.29247 | + | 16.0950i | 1.09513 | + | 1.89682i | ||||
\(73\) | 2.46714 | + | 4.27321i | 0.288756 | + | 0.500141i | 0.973513 | − | 0.228631i | \(-0.0734249\pi\) |
−0.684757 | + | 0.728772i | \(0.740092\pi\) | |||||||
\(74\) | −4.19311 | −0.487439 | ||||||||
\(75\) | −11.1026 | −1.28201 | ||||||||
\(76\) | −7.08496 | − | 12.2715i | −0.812701 | − | 1.40764i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 7.49088 | + | 22.4753i | 0.848175 | + | 2.54483i | ||||
\(79\) | −1.39270 | + | 2.41223i | −0.156691 | + | 0.271397i | −0.933674 | − | 0.358125i | \(-0.883416\pi\) |
0.776982 | + | 0.629522i | \(0.216749\pi\) | |||||||
\(80\) | 1.13193 | − | 1.96056i | 0.126554 | − | 0.219198i | ||||
\(81\) | 0.910609 | − | 1.57722i | 0.101179 | − | 0.175247i | ||||
\(82\) | −4.38406 | − | 7.59342i | −0.484138 | − | 0.838552i | ||||
\(83\) | 2.86819 | 0.314825 | 0.157412 | − | 0.987533i | \(-0.449685\pi\) | ||||
0.157412 | + | 0.987533i | \(0.449685\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.16992 | − | 5.49045i | 0.343826 | − | 0.595523i | ||||
\(86\) | 7.61885 | − | 13.1962i | 0.821562 | − | 1.42299i | ||||
\(87\) | −10.8964 | −1.16821 | ||||||||
\(88\) | −1.19505 | + | 2.06989i | −0.127393 | + | 0.220651i | ||||
\(89\) | 2.09311 | 0.221870 | 0.110935 | − | 0.993828i | \(-0.464616\pi\) | ||||
0.110935 | + | 0.993828i | \(0.464616\pi\) | |||||||
\(90\) | 10.7214 | 1.13014 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 30.5845 | 3.18866 | ||||||||
\(93\) | 8.22340 | 0.852727 | ||||||||
\(94\) | 5.18275 | − | 8.97679i | 0.534560 | − | 0.925885i | ||||
\(95\) | −3.75908 | −0.385674 | ||||||||
\(96\) | −3.61628 | + | 6.26357i | −0.369085 | + | 0.639273i | ||||
\(97\) | 3.84852 | − | 6.66584i | 0.390758 | − | 0.676813i | −0.601791 | − | 0.798653i | \(-0.705546\pi\) |
0.992550 | + | 0.121840i | \(0.0388795\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.68663 | −0.270016 | ||||||||
\(100\) | 7.47047 | + | 12.9392i | 0.747047 | + | 1.29392i | ||||
\(101\) | −1.31866 | + | 2.28399i | −0.131212 | + | 0.227265i | −0.924144 | − | 0.382045i | \(-0.875220\pi\) |
0.792932 | + | 0.609310i | \(0.208553\pi\) | |||||||
\(102\) | 21.2041 | − | 36.7266i | 2.09952 | − | 3.63647i | ||||
\(103\) | −5.43095 | + | 9.40669i | −0.535128 | + | 0.926868i | 0.464029 | + | 0.885820i | \(0.346403\pi\) |
−0.999157 | + | 0.0410486i | \(0.986930\pi\) | |||||||
\(104\) | 9.72736 | − | 10.9689i | 0.953846 | − | 1.07559i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.508103 | + | 0.880061i | 0.0493514 | + | 0.0854791i | ||||
\(107\) | −15.9805 | −1.54489 | −0.772446 | − | 0.635080i | \(-0.780967\pi\) | ||||
−0.772446 | + | 0.635080i | \(0.780967\pi\) | |||||||
\(108\) | 16.0015 | 1.53975 | ||||||||
\(109\) | −4.61738 | − | 7.99754i | −0.442265 | − | 0.766026i | 0.555592 | − | 0.831455i | \(-0.312492\pi\) |
−0.997857 | + | 0.0654294i | \(0.979158\pi\) | |||||||
\(110\) | 0.689410 | + | 1.19409i | 0.0657327 | + | 0.113852i | ||||
\(111\) | −2.41564 | + | 4.18400i | −0.229282 | + | 0.397128i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.09012 | + | 8.81635i | −0.478838 | + | 0.829372i | −0.999706 | − | 0.0242655i | \(-0.992275\pi\) |
0.520867 | + | 0.853638i | \(0.325609\pi\) | |||||||
\(114\) | −25.1451 | −2.35506 | ||||||||
\(115\) | 4.05682 | − | 7.02662i | 0.378301 | − | 0.655236i | ||||
\(116\) | 7.33173 | + | 12.6989i | 0.680734 | + | 1.17907i | ||||
\(117\) | 16.1450 | + | 3.30442i | 1.49260 | + | 0.305494i | ||||
\(118\) | 14.3488 | 1.32092 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −5.49485 | − | 9.51736i | −0.501609 | − | 0.868813i | ||||
\(121\) | 5.32724 | + | 9.22706i | 0.484295 | + | 0.838823i | ||||
\(122\) | −2.63489 | − | 4.56376i | −0.238552 | − | 0.413184i | ||||
\(123\) | −10.1026 | −0.910917 | ||||||||
\(124\) | −5.53320 | − | 9.58378i | −0.496896 | − | 0.860649i | ||||
\(125\) | 8.87502 | 0.793806 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.12513 | − | 3.68083i | −0.188575 | − | 0.326621i | 0.756201 | − | 0.654340i | \(-0.227053\pi\) |
−0.944775 | + | 0.327719i | \(0.893720\pi\) | |||||||
\(128\) | 20.7404 | 1.83321 | ||||||||
\(129\) | −8.77838 | − | 15.2046i | −0.772893 | − | 1.33869i | ||||
\(130\) | −2.67425 | − | 8.02369i | −0.234547 | − | 0.703725i | ||||
\(131\) | −1.08478 | + | 1.87890i | −0.0947779 | + | 0.164160i | −0.909516 | − | 0.415669i | \(-0.863547\pi\) |
0.814738 | + | 0.579829i | \(0.196881\pi\) | |||||||
\(132\) | 2.99425 | + | 5.18620i | 0.260616 | + | 0.451401i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 8.37369 | − | 14.5037i | 0.723376 | − | 1.25292i | ||||
\(135\) | 2.12249 | − | 3.67626i | 0.182675 | − | 0.316402i | ||||
\(136\) | −26.2438 | −2.25039 | ||||||||
\(137\) | 8.36316 | 0.714513 | 0.357257 | − | 0.934006i | \(-0.383712\pi\) | ||||
0.357257 | + | 0.934006i | \(0.383712\pi\) | |||||||
\(138\) | 27.1367 | − | 47.0022i | 2.31003 | − | 4.00110i | ||||
\(139\) | −0.288457 | + | 0.499622i | −0.0244666 | + | 0.0423774i | −0.877999 | − | 0.478662i | \(-0.841122\pi\) |
0.853533 | + | 0.521039i | \(0.174455\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −5.97152 | − | 10.3430i | −0.502893 | − | 0.871036i | ||||
\(142\) | 4.30149 | − | 7.45040i | 0.360973 | − | 0.625224i | ||||
\(143\) | 0.670127 | + | 2.01062i | 0.0560388 | + | 0.168136i | ||||
\(144\) | −5.26698 | − | 9.12267i | −0.438915 | − | 0.760223i | ||||
\(145\) | 3.89001 | 0.323048 | ||||||||
\(146\) | −5.89161 | − | 10.2046i | −0.487593 | − | 0.844537i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.50154 | 0.534423 | ||||||||
\(149\) | −1.40331 | − | 2.43061i | −0.114964 | − | 0.199123i | 0.802801 | − | 0.596246i | \(-0.203342\pi\) |
−0.917765 | + | 0.397123i | \(0.870009\pi\) | |||||||
\(150\) | 26.5133 | 2.16480 | ||||||||
\(151\) | 11.5054 | + | 19.9280i | 0.936300 | + | 1.62172i | 0.772300 | + | 0.635258i | \(0.219106\pi\) |
0.164000 | + | 0.986460i | \(0.447560\pi\) | |||||||
\(152\) | 7.78039 | + | 13.4760i | 0.631073 | + | 1.09305i | ||||
\(153\) | −14.7499 | − | 25.5476i | −1.19246 | − | 2.06540i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.93576 | −0.235806 | ||||||||
\(156\) | −11.6148 | − | 34.8486i | −0.929930 | − | 2.79012i | ||||
\(157\) | 11.2880 | + | 19.5513i | 0.900879 | + | 1.56037i | 0.826356 | + | 0.563148i | \(0.190410\pi\) |
0.0745227 | + | 0.997219i | \(0.476257\pi\) | |||||||
\(158\) | 3.32583 | − | 5.76050i | 0.264588 | − | 0.458281i | ||||
\(159\) | 1.17087 | 0.0928557 | ||||||||
\(160\) | 1.29101 | − | 2.23610i | 0.102064 | − | 0.176779i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −2.17457 | + | 3.76646i | −0.170850 | + | 0.295921i | ||||
\(163\) | −4.08857 | − | 7.08161i | −0.320242 | − | 0.554675i | 0.660296 | − | 0.751005i | \(-0.270431\pi\) |
−0.980538 | + | 0.196331i | \(0.937097\pi\) | |||||||
\(164\) | 6.79761 | + | 11.7738i | 0.530804 | + | 0.919380i | ||||
\(165\) | 1.58867 | 0.123678 | ||||||||
\(166\) | −6.84934 | −0.531612 | ||||||||
\(167\) | −1.16386 | − | 2.01586i | −0.0900619 | − | 0.155992i | 0.817475 | − | 0.575964i | \(-0.195373\pi\) |
−0.907537 | + | 0.419972i | \(0.862040\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.55408 | − | 12.9068i | −0.119545 | − | 0.992829i | ||||
\(170\) | −7.56988 | + | 13.1114i | −0.580583 | + | 1.00560i | ||||
\(171\) | −8.74566 | + | 15.1479i | −0.668798 | + | 1.15839i | ||||
\(172\) | −11.8133 | + | 20.4611i | −0.900752 | + | 1.56015i | ||||
\(173\) | −4.06686 | − | 7.04401i | −0.309198 | − | 0.535546i | 0.668989 | − | 0.743272i | \(-0.266727\pi\) |
−0.978187 | + | 0.207726i | \(0.933394\pi\) | |||||||
\(174\) | 26.0209 | 1.97264 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.677355 | − | 1.17321i | 0.0510576 | − | 0.0884343i | ||||
\(177\) | 8.26630 | − | 14.3177i | 0.621333 | − | 1.07618i | ||||
\(178\) | −4.99843 | −0.374648 | ||||||||
\(179\) | 10.4963 | − | 18.1801i | 0.784528 | − | 1.35884i | −0.144752 | − | 0.989468i | \(-0.546239\pi\) |
0.929281 | − | 0.369375i | \(-0.120428\pi\) | |||||||
\(180\) | −16.6239 | −1.23907 | ||||||||
\(181\) | 1.60807 | 0.119527 | 0.0597635 | − | 0.998213i | \(-0.480965\pi\) | ||||
0.0597635 | + | 0.998213i | \(0.480965\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −6.07180 | −0.448841 | ||||||||
\(184\) | −33.5865 | −2.47603 | ||||||||
\(185\) | 0.862384 | − | 1.49369i | 0.0634037 | − | 0.109818i | ||||
\(186\) | −19.6378 | −1.43991 | ||||||||
\(187\) | 1.89690 | − | 3.28552i | 0.138715 | − | 0.240261i | ||||
\(188\) | −8.03601 | + | 13.9188i | −0.586086 | + | 1.01513i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 8.97683 | 0.651247 | ||||||||
\(191\) | 5.78111 | + | 10.0132i | 0.418307 | + | 0.724529i | 0.995769 | − | 0.0918886i | \(-0.0292904\pi\) |
−0.577463 | + | 0.816417i | \(0.695957\pi\) | |||||||
\(192\) | 14.9771 | − | 25.9412i | 1.08088 | − | 1.87214i | ||||
\(193\) | −11.7894 | + | 20.4199i | −0.848621 | + | 1.46985i | 0.0338178 | + | 0.999428i | \(0.489233\pi\) |
−0.882439 | + | 0.470427i | \(0.844100\pi\) | |||||||
\(194\) | −9.19041 | + | 15.9183i | −0.659833 | + | 1.14286i | ||||
\(195\) | −9.54689 | − | 1.95398i | −0.683667 | − | 0.139927i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 0.735472 | + | 1.27387i | 0.0524002 | + | 0.0907598i | 0.891036 | − | 0.453933i | \(-0.149980\pi\) |
−0.838636 | + | 0.544693i | \(0.816646\pi\) | |||||||
\(198\) | 6.41577 | 0.455949 | ||||||||
\(199\) | −9.39399 | −0.665922 | −0.332961 | − | 0.942941i | \(-0.608048\pi\) | ||||
−0.332961 | + | 0.942941i | \(0.608048\pi\) | |||||||
\(200\) | −8.20374 | − | 14.2093i | −0.580092 | − | 1.00475i | ||||
\(201\) | −9.64810 | − | 16.7110i | −0.680524 | − | 1.17870i | ||||
\(202\) | 3.14901 | − | 5.45425i | 0.221564 | − | 0.383760i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −32.8776 | + | 56.9456i | −2.30189 | + | 3.98699i | ||||
\(205\) | 3.60662 | 0.251897 | ||||||||
\(206\) | 12.9693 | − | 22.4635i | 0.903615 | − | 1.56511i | ||||
\(207\) | −18.8767 | − | 32.6955i | −1.31202 | − | 2.27249i | ||||
\(208\) | −5.51348 | + | 6.21717i | −0.382291 | + | 0.431083i | ||||
\(209\) | −2.24946 | −0.155598 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.47109 | + | 7.74416i | 0.307803 | + | 0.533130i | 0.977881 | − | 0.209160i | \(-0.0670730\pi\) |
−0.670079 | + | 0.742290i | \(0.733740\pi\) | |||||||
\(212\) | −0.787829 | − | 1.36456i | −0.0541083 | − | 0.0937184i | ||||
\(213\) | −4.95615 | − | 8.58430i | −0.339589 | − | 0.588186i | ||||
\(214\) | 38.1620 | 2.60870 | ||||||||
\(215\) | 3.13389 | + | 5.42805i | 0.213729 | + | 0.370190i | ||||
\(216\) | −17.5722 | −1.19563 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 11.0265 | + | 19.0984i | 0.746808 | + | 1.29351i | ||||
\(219\) | −13.5765 | −0.917418 | ||||||||
\(220\) | −1.06895 | − | 1.85148i | −0.0720686 | − | 0.124827i | ||||
\(221\) | −15.4402 | + | 17.4108i | −1.03862 | + | 1.17118i | ||||
\(222\) | 5.76863 | − | 9.99156i | 0.387165 | − | 0.670589i | ||||
\(223\) | 10.9098 | + | 18.8963i | 0.730574 | + | 1.26539i | 0.956638 | + | 0.291279i | \(0.0940809\pi\) |
−0.226064 | + | 0.974112i | \(0.572586\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 9.22154 | − | 15.9722i | 0.614769 | − | 1.06481i | ||||
\(226\) | 12.1554 | − | 21.0538i | 0.808565 | − | 1.40048i | ||||
\(227\) | 18.5525 | 1.23137 | 0.615687 | − | 0.787990i | \(-0.288878\pi\) | ||||
0.615687 | + | 0.787990i | \(0.288878\pi\) | |||||||
\(228\) | 38.9882 | 2.58206 | ||||||||
\(229\) | 9.67525 | − | 16.7580i | 0.639359 | − | 1.10740i | −0.346215 | − | 0.938155i | \(-0.612533\pi\) |
0.985574 | − | 0.169247i | \(-0.0541334\pi\) | |||||||
\(230\) | −9.68784 | + | 16.7798i | −0.638797 | + | 1.10643i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.05137 | − | 13.9454i | −0.528599 | − | 0.915560i | ||||
\(233\) | −8.08170 | + | 13.9979i | −0.529450 | + | 0.917034i | 0.469960 | + | 0.882688i | \(0.344268\pi\) |
−0.999410 | + | 0.0343462i | \(0.989065\pi\) | |||||||
\(234\) | −38.5548 | − | 7.89108i | −2.52040 | − | 0.515856i | ||||
\(235\) | 2.13184 | + | 3.69245i | 0.139066 | + | 0.240869i | ||||
\(236\) | −22.2483 | −1.44824 | ||||||||
\(237\) | −3.83199 | − | 6.63720i | −0.248915 | − | 0.431133i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 16.1037 | 1.04166 | 0.520831 | − | 0.853660i | \(-0.325622\pi\) | ||||
0.520831 | + | 0.853660i | \(0.325622\pi\) | |||||||
\(240\) | 3.11449 | + | 5.39445i | 0.201039 | + | 0.348210i | ||||
\(241\) | 4.00600 | 0.258049 | 0.129025 | − | 0.991641i | \(-0.458815\pi\) | ||||
0.129025 | + | 0.991641i | \(0.458815\pi\) | |||||||
\(242\) | −12.7217 | − | 22.0346i | −0.817779 | − | 1.41643i | ||||
\(243\) | 8.98786 | + | 15.5674i | 0.576572 | + | 0.998651i | ||||
\(244\) | 4.08548 | + | 7.07625i | 0.261546 | + | 0.453011i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 24.1253 | 1.53817 | ||||||||
\(247\) | 13.5178 | + | 2.76672i | 0.860119 | + | 0.176042i | ||||
\(248\) | 6.07631 | + | 10.5245i | 0.385846 | + | 0.668305i | ||||
\(249\) | −3.94588 | + | 6.83446i | −0.250060 | + | 0.433116i | ||||
\(250\) | −21.1939 | −1.34042 | ||||||||
\(251\) | 1.62344 | − | 2.81188i | 0.102471 | − | 0.177484i | −0.810231 | − | 0.586110i | \(-0.800659\pi\) |
0.912702 | + | 0.408626i | \(0.133992\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.42763 | − | 4.20477i | 0.152624 | − | 0.264352i | ||||
\(254\) | 5.07489 | + | 8.78996i | 0.318427 | + | 0.551531i | ||||
\(255\) | 8.72195 | + | 15.1069i | 0.546190 | + | 0.946029i | ||||
\(256\) | −27.7557 | −1.73473 | ||||||||
\(257\) | 26.8924 | 1.67750 | 0.838751 | − | 0.544516i | \(-0.183287\pi\) | ||||
0.838751 | + | 0.544516i | \(0.183287\pi\) | |||||||
\(258\) | 20.9631 | + | 36.3092i | 1.30511 | + | 2.26051i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 4.14650 | + | 12.4410i | 0.257155 | + | 0.771556i | ||||
\(261\) | 9.05027 | − | 15.6755i | 0.560198 | − | 0.970291i | ||||
\(262\) | 2.59050 | − | 4.48688i | 0.160042 | − | 0.277200i | ||||
\(263\) | 1.90353 | − | 3.29701i | 0.117377 | − | 0.203302i | −0.801351 | − | 0.598195i | \(-0.795885\pi\) |
0.918727 | + | 0.394893i | \(0.129218\pi\) | |||||||
\(264\) | −3.28815 | − | 5.69525i | −0.202372 | − | 0.350518i | ||||
\(265\) | −0.418000 | −0.0256775 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.87958 | + | 4.98757i | −0.176227 | + | 0.305235i | ||||
\(268\) | −12.9836 | + | 22.4883i | −0.793102 | + | 1.37369i | ||||
\(269\) | 23.8381 | 1.45343 | 0.726716 | − | 0.686938i | \(-0.241046\pi\) | ||||
0.726716 | + | 0.686938i | \(0.241046\pi\) | |||||||
\(270\) | −5.06859 | + | 8.77905i | −0.308464 | + | 0.534276i | ||||
\(271\) | −9.90135 | −0.601464 | −0.300732 | − | 0.953709i | \(-0.597231\pi\) | ||||
−0.300732 | + | 0.953709i | \(0.597231\pi\) | |||||||
\(272\) | 14.8750 | 0.901931 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −19.9715 | −1.20653 | ||||||||
\(275\) | 2.37186 | 0.143028 | ||||||||
\(276\) | −42.0763 | + | 72.8783i | −2.53270 | + | 4.38676i | ||||
\(277\) | 11.7858 | 0.708139 | 0.354069 | − | 0.935219i | \(-0.384798\pi\) | ||||
0.354069 | + | 0.935219i | \(0.384798\pi\) | |||||||
\(278\) | 0.688846 | − | 1.19312i | 0.0413142 | − | 0.0715584i | ||||
\(279\) | −6.83017 | + | 11.8302i | −0.408912 | + | 0.708256i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.9976 | 0.775372 | 0.387686 | − | 0.921791i | \(-0.373274\pi\) | ||||
0.387686 | + | 0.921791i | \(0.373274\pi\) | |||||||
\(282\) | 14.2602 | + | 24.6994i | 0.849184 | + | 1.47083i | ||||
\(283\) | −8.40249 | + | 14.5535i | −0.499476 | + | 0.865118i | −1.00000 | 0.000604910i | \(-0.999807\pi\) | |
0.500524 | + | 0.865723i | \(0.333141\pi\) | |||||||
\(284\) | −6.66959 | + | 11.5521i | −0.395767 | + | 0.685489i | ||||
\(285\) | 5.17151 | − | 8.95733i | 0.306334 | − | 0.530586i | ||||
\(286\) | −1.60029 | − | 4.80143i | −0.0946270 | − | 0.283914i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −6.00719 | − | 10.4048i | −0.353977 | − | 0.613107i | ||||
\(289\) | 24.6567 | 1.45039 | ||||||||
\(290\) | −9.28948 | −0.545497 | ||||||||
\(291\) | 10.5891 | + | 18.3409i | 0.620746 | + | 1.07516i | ||||
\(292\) | 9.13512 | + | 15.8225i | 0.534592 | + | 0.925941i | ||||
\(293\) | −7.04782 | + | 12.2072i | −0.411738 | + | 0.713151i | −0.995080 | − | 0.0990757i | \(-0.968411\pi\) |
0.583342 | + | 0.812227i | \(0.301745\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.95108 | + | 5.11141i | −0.171818 | + | 0.297598i | ||||
\(296\) | −7.13970 | −0.414987 | ||||||||
\(297\) | 1.27011 | − | 2.19990i | 0.0736994 | − | 0.127651i | ||||
\(298\) | 3.35116 | + | 5.80438i | 0.194128 | + | 0.336239i | ||||
\(299\) | −19.7602 | + | 22.2822i | −1.14276 | + | 1.28861i | ||||
\(300\) | −41.1097 | −2.37347 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −27.4754 | − | 47.5888i | −1.58103 | − | 2.73843i | ||||
\(303\) | −3.62827 | − | 6.28434i | −0.208439 | − | 0.361026i | ||||
\(304\) | −4.40993 | − | 7.63822i | −0.252927 | − | 0.438082i | ||||
\(305\) | 2.16764 | 0.124119 | ||||||||
\(306\) | 35.2233 | + | 61.0085i | 2.01358 | + | 3.48762i | ||||
\(307\) | −15.8786 | −0.906240 | −0.453120 | − | 0.891450i | \(-0.649689\pi\) | ||||
−0.453120 | + | 0.891450i | \(0.649689\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −14.9431 | − | 25.8823i | −0.850086 | − | 1.47239i | ||||
\(310\) | 7.01070 | 0.398181 | ||||||||
\(311\) | −14.3017 | − | 24.7713i | −0.810975 | − | 1.40465i | −0.912183 | − | 0.409784i | \(-0.865604\pi\) |
0.101208 | − | 0.994865i | \(-0.467729\pi\) | |||||||
\(312\) | 12.7549 | + | 38.2692i | 0.722103 | + | 2.16656i | ||||
\(313\) | −9.28962 | + | 16.0901i | −0.525080 | + | 0.909465i | 0.474493 | + | 0.880259i | \(0.342631\pi\) |
−0.999573 | + | 0.0292063i | \(0.990702\pi\) | |||||||
\(314\) | −26.9561 | − | 46.6893i | −1.52122 | − | 2.63483i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.15679 | + | 8.93182i | −0.290092 | + | 0.502454i | ||||
\(317\) | −15.3223 | + | 26.5389i | −0.860584 | + | 1.49057i | 0.0107826 | + | 0.999942i | \(0.496568\pi\) |
−0.871366 | + | 0.490633i | \(0.836766\pi\) | |||||||
\(318\) | −2.79607 | −0.156796 | ||||||||
\(319\) | 2.32781 | 0.130332 | ||||||||
\(320\) | −5.34685 | + | 9.26102i | −0.298898 | + | 0.517707i | ||||
\(321\) | 21.9850 | − | 38.0791i | 1.22708 | − | 2.12537i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −12.3498 | − | 21.3904i | −0.687160 | − | 1.19020i | ||||
\(324\) | 3.37173 | − | 5.84001i | 0.187318 | − | 0.324445i | ||||
\(325\) | −14.2534 | − | 2.91727i | −0.790635 | − | 0.161821i | ||||
\(326\) | 9.76366 | + | 16.9112i | 0.540759 | + | 0.936622i | ||||
\(327\) | 25.4093 | 1.40514 | ||||||||
\(328\) | −7.46483 | − | 12.9295i | −0.412177 | − | 0.713911i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −3.79379 | −0.208842 | ||||||||
\(331\) | −13.6138 | − | 23.5799i | −0.748284 | − | 1.29607i | −0.948644 | − | 0.316344i | \(-0.897545\pi\) |
0.200360 | − | 0.979722i | \(-0.435789\pi\) | |||||||
\(332\) | 10.6201 | 0.582854 | ||||||||
\(333\) | −4.01275 | − | 6.95028i | −0.219897 | − | 0.380873i | ||||
\(334\) | 2.77933 | + | 4.81395i | 0.152078 | + | 0.263407i | ||||
\(335\) | 3.44438 | + | 5.96584i | 0.188187 | + | 0.325949i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.3160 | −0.670898 | −0.335449 | − | 0.942058i | \(-0.608888\pi\) | ||||
−0.335449 | + | 0.942058i | \(0.608888\pi\) | |||||||
\(338\) | 3.71121 | + | 30.8219i | 0.201863 | + | 1.67649i | ||||
\(339\) | −14.0054 | − | 24.2580i | −0.760666 | − | 1.31751i | ||||
\(340\) | 11.7373 | − | 20.3296i | 0.636545 | − | 1.10253i | ||||
\(341\) | −1.75678 | −0.0951348 | ||||||||
\(342\) | 20.8850 | − | 36.1738i | 1.12933 | − | 1.95606i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 12.9728 | − | 22.4695i | 0.699445 | − | 1.21148i | ||||
\(345\) | 11.1623 | + | 19.3336i | 0.600956 | + | 1.04089i | ||||
\(346\) | 9.71182 | + | 16.8214i | 0.522111 | + | 0.904322i | ||||
\(347\) | 6.14506 | 0.329884 | 0.164942 | − | 0.986303i | \(-0.447256\pi\) | ||||
0.164942 | + | 0.986303i | \(0.447256\pi\) | |||||||
\(348\) | −40.3462 | −2.16278 | ||||||||
\(349\) | 6.51563 | + | 11.2854i | 0.348774 | + | 0.604094i | 0.986032 | − | 0.166557i | \(-0.0532649\pi\) |
−0.637258 | + | 0.770650i | \(0.719932\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −10.3383 | + | 11.6578i | −0.551820 | + | 0.622249i | ||||
\(352\) | 0.772550 | − | 1.33810i | 0.0411771 | − | 0.0713208i | ||||
\(353\) | 15.8332 | − | 27.4240i | 0.842718 | − | 1.45963i | −0.0448710 | − | 0.998993i | \(-0.514288\pi\) |
0.887589 | − | 0.460637i | \(-0.152379\pi\) | |||||||
\(354\) | −19.7402 | + | 34.1911i | −1.04918 | + | 1.81724i | ||||
\(355\) | 1.76935 | + | 3.06460i | 0.0939072 | + | 0.162652i | ||||
\(356\) | 7.75021 | 0.410761 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −25.0655 | + | 43.4147i | −1.32475 | + | 2.29454i | ||||
\(359\) | −9.96610 | + | 17.2618i | −0.525991 | + | 0.911043i | 0.473551 | + | 0.880767i | \(0.342972\pi\) |
−0.999542 | + | 0.0302764i | \(0.990361\pi\) | |||||||
\(360\) | 18.2556 | 0.962155 | ||||||||
\(361\) | 2.17744 | − | 3.77144i | 0.114602 | − | 0.198497i | ||||
\(362\) | −3.84014 | −0.201833 | ||||||||
\(363\) | −29.3156 | −1.53867 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.84684 | 0.253695 | ||||||||
\(366\) | 14.4997 | 0.757911 | ||||||||
\(367\) | 9.85950 | − | 17.0772i | 0.514662 | − | 0.891420i | −0.485194 | − | 0.874407i | \(-0.661251\pi\) |
0.999855 | − | 0.0170133i | \(-0.00541577\pi\) | |||||||
\(368\) | 19.0369 | 0.992366 | ||||||||
\(369\) | 8.39096 | − | 14.5336i | 0.436816 | − | 0.756588i | ||||
\(370\) | −2.05940 | + | 3.56699i | −0.107063 | + | 0.185439i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 30.4490 | 1.57870 | ||||||||
\(373\) | −8.77345 | − | 15.1961i | −0.454272 | − | 0.786823i | 0.544374 | − | 0.838843i | \(-0.316767\pi\) |
−0.998646 | + | 0.0520202i | \(0.983434\pi\) | |||||||
\(374\) | −4.52986 | + | 7.84595i | −0.234234 | + | 0.405704i | ||||
\(375\) | −12.2097 | + | 21.1478i | −0.630507 | + | 1.09207i | ||||
\(376\) | 8.82478 | − | 15.2850i | 0.455103 | − | 0.788262i | ||||
\(377\) | −13.9887 | − | 2.86308i | −0.720452 | − | 0.147456i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.85068 | + | 10.1337i | 0.300529 | + | 0.520532i | 0.976256 | − | 0.216620i | \(-0.0695034\pi\) |
−0.675727 | + | 0.737152i | \(0.736170\pi\) | |||||||
\(380\) | −13.9188 | −0.714021 | ||||||||
\(381\) | 11.6945 | 0.599127 | ||||||||
\(382\) | −13.8055 | − | 23.9119i | −0.706352 | − | 1.22344i | ||||
\(383\) | −10.7644 | − | 18.6445i | −0.550036 | − | 0.952690i | −0.998271 | − | 0.0587748i | \(-0.981281\pi\) |
0.448235 | − | 0.893916i | \(-0.352053\pi\) | |||||||
\(384\) | −28.5334 | + | 49.4213i | −1.45609 | + | 2.52202i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 28.1536 | − | 48.7634i | 1.43298 | − | 2.48199i | ||||
\(387\) | 29.1645 | 1.48252 | ||||||||
\(388\) | 14.2500 | − | 24.6817i | 0.723435 | − | 1.25303i | ||||
\(389\) | −13.2455 | − | 22.9419i | −0.671574 | − | 1.16320i | −0.977458 | − | 0.211131i | \(-0.932285\pi\) |
0.305884 | − | 0.952069i | \(-0.401048\pi\) | |||||||
\(390\) | 22.7983 | + | 4.66618i | 1.15444 | + | 0.236281i | ||||
\(391\) | 53.3118 | 2.69609 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.98476 | − | 5.16975i | −0.150561 | − | 0.260779i | ||||
\(394\) | −1.75633 | − | 3.04206i | −0.0884828 | − | 0.153257i | ||||
\(395\) | 1.36802 | + | 2.36949i | 0.0688327 | + | 0.119222i | ||||
\(396\) | −9.94784 | −0.499898 | ||||||||
\(397\) | −16.8995 | − | 29.2707i | −0.848160 | − | 1.46906i | −0.882849 | − | 0.469658i | \(-0.844377\pi\) |
0.0346887 | − | 0.999398i | \(-0.488956\pi\) | |||||||
\(398\) | 22.4332 | 1.12447 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.64989 | + | 8.05384i | 0.232494 | + | 0.402692i | ||||
\(401\) | 21.6119 | 1.07925 | 0.539623 | − | 0.841907i | \(-0.318567\pi\) | ||||
0.539623 | + | 0.841907i | \(0.318567\pi\) | |||||||
\(402\) | 23.0400 | + | 39.9065i | 1.14913 | + | 1.99035i | ||||
\(403\) | 10.5571 | + | 2.16075i | 0.525888 | + | 0.107635i | ||||
\(404\) | −4.88264 | + | 8.45697i | −0.242920 | + | 0.420750i | ||||
\(405\) | −0.894473 | − | 1.54927i | −0.0444467 | − | 0.0769839i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.516056 | − | 0.893835i | 0.0255799 | − | 0.0443058i | ||||
\(408\) | 36.1047 | − | 62.5351i | 1.78745 | − | 3.09595i | ||||
\(409\) | −7.74217 | −0.382826 | −0.191413 | − | 0.981510i | \(-0.561307\pi\) | ||||
−0.191413 | + | 0.981510i | \(0.561307\pi\) | |||||||
\(410\) | −8.61275 | −0.425353 | ||||||||
\(411\) | −11.5055 | + | 19.9282i | −0.567526 | + | 0.982984i | ||||
\(412\) | −20.1093 | + | 34.8303i | −0.990714 | + | 1.71597i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 45.0783 | + | 78.0780i | 2.21548 | + | 3.83732i | ||||
\(415\) | 1.40868 | − | 2.43991i | 0.0691495 | − | 0.119770i | ||||
\(416\) | −6.28834 | + | 7.09092i | −0.308311 | + | 0.347661i | ||||
\(417\) | −0.793683 | − | 1.37470i | −0.0388668 | − | 0.0673193i | ||||
\(418\) | 5.37179 | 0.262743 | ||||||||
\(419\) | −4.05097 | − | 7.01649i | −0.197903 | − | 0.342778i | 0.749945 | − | 0.661500i | \(-0.230080\pi\) |
−0.947848 | + | 0.318722i | \(0.896746\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −32.1124 | −1.56506 | −0.782530 | − | 0.622612i | \(-0.786071\pi\) | ||||
−0.782530 | + | 0.622612i | \(0.786071\pi\) | |||||||
\(422\) | −10.6771 | − | 18.4933i | −0.519755 | − | 0.900242i | ||||
\(423\) | 19.8393 | 0.964618 | ||||||||
\(424\) | 0.865159 | + | 1.49850i | 0.0420158 | + | 0.0727735i | ||||
\(425\) | 13.0218 | + | 22.5543i | 0.631648 | + | 1.09405i | ||||
\(426\) | 11.8355 | + | 20.4996i | 0.573430 | + | 0.993210i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −59.1713 | −2.86015 | ||||||||
\(429\) | −5.71292 | − | 1.16927i | −0.275822 | − | 0.0564531i | ||||
\(430\) | −7.48384 | − | 12.9624i | −0.360903 | − | 0.625102i | ||||
\(431\) | 14.7640 | − | 25.5721i | 0.711159 | − | 1.23176i | −0.253263 | − | 0.967397i | \(-0.581504\pi\) |
0.964422 | − | 0.264366i | \(-0.0851627\pi\) | |||||||
\(432\) | 9.95992 | 0.479197 | ||||||||
\(433\) | 11.0455 | − | 19.1314i | 0.530813 | − | 0.919395i | −0.468540 | − | 0.883442i | \(-0.655220\pi\) |
0.999353 | − | 0.0359531i | \(-0.0114467\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.35164 | + | 9.26931i | −0.256591 | + | 0.444429i | ||||
\(436\) | −17.0969 | − | 29.6127i | −0.818792 | − | 1.41819i | ||||
\(437\) | −15.8051 | − | 27.3752i | −0.756060 | − | 1.30953i | ||||
\(438\) | 32.4213 | 1.54915 | ||||||||
\(439\) | 6.35580 | 0.303346 | 0.151673 | − | 0.988431i | \(-0.451534\pi\) | ||||
0.151673 | + | 0.988431i | \(0.451534\pi\) | |||||||
\(440\) | 1.17387 | + | 2.03321i | 0.0559622 | + | 0.0969294i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 36.8718 | − | 41.5777i | 1.75381 | − | 1.97765i | ||||
\(443\) | 6.78135 | − | 11.7456i | 0.322192 | − | 0.558052i | −0.658748 | − | 0.752363i | \(-0.728914\pi\) |
0.980940 | + | 0.194311i | \(0.0622472\pi\) | |||||||
\(444\) | −8.94443 | + | 15.4922i | −0.424484 | + | 0.735227i | ||||
\(445\) | 1.02801 | − | 1.78057i | 0.0487324 | − | 0.0844070i | ||||
\(446\) | −26.0530 | − | 45.1251i | −1.23365 | − | 2.13674i | ||||
\(447\) | 7.72237 | 0.365255 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −10.9559 | + | 18.9762i | −0.517041 | + | 0.895541i | 0.482763 | + | 0.875751i | \(0.339633\pi\) |
−0.999804 | + | 0.0197900i | \(0.993700\pi\) | |||||||
\(450\) | −22.0214 | + | 38.1421i | −1.03810 | + | 1.79804i | ||||
\(451\) | 2.15823 | 0.101627 | ||||||||
\(452\) | −18.8473 | + | 32.6445i | −0.886502 | + | 1.53547i | ||||
\(453\) | −63.3139 | −2.97475 | ||||||||
\(454\) | −44.3041 | −2.07930 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −42.8151 | −2.00500 | ||||||||
\(457\) | 15.2146 | 0.711710 | 0.355855 | − | 0.934541i | \(-0.384190\pi\) | ||||
0.355855 | + | 0.934541i | \(0.384190\pi\) | |||||||
\(458\) | −23.1049 | + | 40.0188i | −1.07962 | + | 1.86996i | ||||
\(459\) | 27.8922 | 1.30190 | ||||||||
\(460\) | 15.0213 | − | 26.0176i | 0.700371 | − | 1.21308i | ||||
\(461\) | −8.10813 | + | 14.0437i | −0.377633 | + | 0.654080i | −0.990717 | − | 0.135937i | \(-0.956595\pi\) |
0.613084 | + | 0.790018i | \(0.289929\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.44769 | −0.0672799 | −0.0336400 | − | 0.999434i | \(-0.510710\pi\) | ||||
−0.0336400 | + | 0.999434i | \(0.510710\pi\) | |||||||
\(464\) | 4.56353 | + | 7.90426i | 0.211856 | + | 0.366946i | ||||
\(465\) | 4.03884 | − | 6.99547i | 0.187297 | − | 0.324407i | ||||
\(466\) | 19.2994 | − | 33.4275i | 0.894027 | − | 1.54850i | ||||
\(467\) | 7.00337 | − | 12.1302i | 0.324078 | − | 0.561319i | −0.657248 | − | 0.753675i | \(-0.728279\pi\) |
0.981325 | + | 0.192356i | \(0.0616128\pi\) | |||||||
\(468\) | 59.7803 | + | 12.2353i | 2.76334 | + | 0.565579i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −5.09091 | − | 8.81772i | −0.234826 | − | 0.406731i | ||||
\(471\) | −62.1172 | −2.86221 | ||||||||
\(472\) | 24.4320 | 1.12458 | ||||||||
\(473\) | 1.87534 | + | 3.24818i | 0.0862282 | + | 0.149352i | ||||
\(474\) | 9.15094 | + | 15.8499i | 0.420316 | + | 0.728009i | ||||
\(475\) | 7.72100 | − | 13.3732i | 0.354264 | − | 0.613603i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −0.972495 | + | 1.68441i | −0.0445275 | + | 0.0771239i | ||||
\(478\) | −38.4562 | −1.75895 | ||||||||
\(479\) | −15.0122 | + | 26.0018i | −0.685923 | + | 1.18805i | 0.287223 | + | 0.957864i | \(0.407268\pi\) |
−0.973146 | + | 0.230189i | \(0.926065\pi\) | |||||||
\(480\) | 3.55219 | + | 6.15258i | 0.162135 | + | 0.280826i | ||||
\(481\) | −4.20055 | + | 4.73667i | −0.191528 | + | 0.215973i | ||||
\(482\) | −9.56649 | −0.435742 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 19.7253 | + | 34.1652i | 0.896605 | + | 1.55296i | ||||
\(485\) | −3.78033 | − | 6.54772i | −0.171656 | − | 0.297317i | ||||
\(486\) | −21.4633 | − | 37.1756i | −0.973597 | − | 1.68632i | ||||
\(487\) | −28.4903 | −1.29102 | −0.645510 | − | 0.763752i | \(-0.723355\pi\) | ||||
−0.645510 | + | 0.763752i | \(0.723355\pi\) | |||||||
\(488\) | −4.48649 | − | 7.77082i | −0.203094 | − | 0.351769i | ||||
\(489\) | 22.4992 | 1.01745 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 14.2339 | + | 24.6538i | 0.642365 | + | 1.11261i | 0.984903 | + | 0.173105i | \(0.0553799\pi\) |
−0.342539 | + | 0.939504i | \(0.611287\pi\) | |||||||
\(492\) | −37.4070 | −1.68644 | ||||||||
\(493\) | 12.7799 | + | 22.1354i | 0.575578 | + | 0.996930i | ||||
\(494\) | −32.2811 | − | 6.60703i | −1.45239 | − | 0.297264i | ||||
\(495\) | −1.31951 | + | 2.28546i | −0.0593076 | + | 0.102724i | ||||
\(496\) | −3.44406 | − | 5.96528i | −0.154643 | − | 0.267849i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 9.42290 | − | 16.3209i | 0.422250 | − | 0.731359i | ||||
\(499\) | 13.1164 | − | 22.7183i | 0.587172 | − | 1.01701i | −0.407429 | − | 0.913237i | \(-0.633575\pi\) |
0.994601 | − | 0.103775i | \(-0.0330921\pi\) | |||||||
\(500\) | 32.8617 | 1.46962 | ||||||||
\(501\) | 6.40465 | 0.286139 | ||||||||
\(502\) | −3.87684 | + | 6.71488i | −0.173032 | + | 0.299700i | ||||
\(503\) | 4.26588 | − | 7.38872i | 0.190206 | − | 0.329447i | −0.755112 | − | 0.655595i | \(-0.772418\pi\) |
0.945318 | + | 0.326149i | \(0.105751\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.29529 | + | 2.24352i | 0.0576398 | + | 0.0998351i | ||||
\(506\) | −5.79726 | + | 10.0412i | −0.257720 | + | 0.446384i | ||||
\(507\) | 32.8929 | + | 14.0532i | 1.46083 | + | 0.624125i | ||||
\(508\) | −7.86876 | − | 13.6291i | −0.349120 | − | 0.604693i | ||||
\(509\) | 13.0260 | 0.577366 | 0.288683 | − | 0.957425i | \(-0.406783\pi\) | ||||
0.288683 | + | 0.957425i | \(0.406783\pi\) | |||||||
\(510\) | −20.8283 | − | 36.0758i | −0.922295 | − | 1.59746i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 24.8008 | 1.09605 | ||||||||
\(513\) | −8.26908 | − | 14.3225i | −0.365089 | − | 0.632352i | ||||
\(514\) | −64.2200 | −2.83262 | ||||||||
\(515\) | 5.33472 | + | 9.24000i | 0.235076 | + | 0.407163i | ||||
\(516\) | −32.5039 | − | 56.2984i | −1.43090 | − | 2.47840i | ||||
\(517\) | 1.27571 | + | 2.20959i | 0.0561055 | + | 0.0971775i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 22.3798 | 0.982363 | ||||||||
\(520\) | −4.55350 | − | 13.6621i | −0.199684 | − | 0.599124i | ||||
\(521\) | 2.23285 | + | 3.86741i | 0.0978230 | + | 0.169434i | 0.910783 | − | 0.412885i | \(-0.135479\pi\) |
−0.812960 | + | 0.582319i | \(0.802145\pi\) | |||||||
\(522\) | −21.6124 | + | 37.4337i | −0.945948 | + | 1.63843i | ||||
\(523\) | 2.90811 | 0.127163 | 0.0635815 | − | 0.997977i | \(-0.479748\pi\) | ||||
0.0635815 | + | 0.997977i | \(0.479748\pi\) | |||||||
\(524\) | −4.01665 | + | 6.95704i | −0.175468 | + | 0.303920i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.54570 | + | 7.87339i | −0.198202 | + | 0.343296i | ||||
\(527\) | −9.64490 | − | 16.7055i | −0.420138 | − | 0.727701i | ||||
\(528\) | 1.86373 | + | 3.22807i | 0.0811084 | + | 0.140484i | ||||
\(529\) | 45.2278 | 1.96643 | ||||||||
\(530\) | 0.998200 | 0.0433590 | ||||||||
\(531\) | 13.7316 | + | 23.7838i | 0.595901 | + | 1.03213i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −12.9696 | − | 2.65451i | −0.561775 | − | 0.114980i | ||||
\(534\) | 6.87654 | − | 11.9105i | 0.297577 | − | 0.515418i | ||||
\(535\) | −7.84866 | + | 13.5943i | −0.339327 | + | 0.587732i | ||||
\(536\) | 14.2581 | − | 24.6957i | 0.615854 | − | 1.06669i | ||||
\(537\) | 28.8803 | + | 50.0221i | 1.24628 | + | 2.15861i | ||||
\(538\) | −56.9262 | −2.45426 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 7.85899 | − | 13.6122i | 0.338197 | − | 0.585775i | ||||
\(541\) | 9.23193 | − | 15.9902i | 0.396912 | − | 0.687471i | −0.596431 | − | 0.802664i | \(-0.703415\pi\) |
0.993343 | + | 0.115193i | \(0.0367486\pi\) | |||||||
\(542\) | 23.6448 | 1.01563 | ||||||||
\(543\) | −2.21229 | + | 3.83180i | −0.0949384 | + | 0.164438i | ||||
\(544\) | 16.9655 | 0.727392 | ||||||||
\(545\) | −9.07112 | −0.388564 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 34.9817 | 1.49571 | 0.747856 | − | 0.663861i | \(-0.231083\pi\) | ||||
0.747856 | + | 0.663861i | \(0.231083\pi\) | |||||||
\(548\) | 30.9665 | 1.32282 | ||||||||
\(549\) | 5.04310 | − | 8.73491i | 0.215234 | − | 0.372797i | ||||
\(550\) | −5.66408 | −0.241517 | ||||||||
\(551\) | 7.57760 | − | 13.1248i | 0.322817 | − | 0.559135i | ||||
\(552\) | 46.2063 | − | 80.0317i | 1.96667 | − | 3.40638i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −28.1449 | −1.19576 | ||||||||
\(555\) | 2.37283 | + | 4.10986i | 0.100721 | + | 0.174454i | ||||
\(556\) | −1.06808 | + | 1.84996i | −0.0452965 | + | 0.0784559i | ||||
\(557\) | −0.0265706 | + | 0.0460217i | −0.00112583 | + | 0.00195000i | −0.866588 | − | 0.499025i | \(-0.833692\pi\) |
0.865462 | + | 0.500975i | \(0.167025\pi\) | |||||||
\(558\) | 16.3107 | − | 28.2510i | 0.690487 | − | 1.19596i | ||||
\(559\) | −7.27451 | − | 21.8261i | −0.307679 | − | 0.923146i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 5.21927 | + | 9.04004i | 0.220358 | + | 0.381671i | ||||
\(562\) | −31.0388 | −1.30929 | ||||||||
\(563\) | −7.98506 | −0.336530 | −0.168265 | − | 0.985742i | \(-0.553816\pi\) | ||||
−0.168265 | + | 0.985742i | \(0.553816\pi\) | |||||||
\(564\) | −22.1109 | − | 38.2972i | −0.931037 | − | 1.61260i | ||||
\(565\) | 4.99992 | + | 8.66012i | 0.210348 | + | 0.364334i | ||||
\(566\) | 20.0655 | − | 34.7544i | 0.843414 | − | 1.46084i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 7.32424 | − | 12.6860i | 0.307318 | − | 0.532291i | ||||
\(569\) | −26.7241 | −1.12033 | −0.560167 | − | 0.828380i | \(-0.689263\pi\) | ||||
−0.560167 | + | 0.828380i | \(0.689263\pi\) | |||||||
\(570\) | −12.3498 | + | 21.3904i | −0.517275 | + | 0.895946i | ||||
\(571\) | −6.74647 | − | 11.6852i | −0.282331 | − | 0.489012i | 0.689627 | − | 0.724164i | \(-0.257774\pi\) |
−0.971958 | + | 0.235153i | \(0.924441\pi\) | |||||||
\(572\) | 2.48129 | + | 7.44476i | 0.103748 | + | 0.311281i | ||||
\(573\) | −31.8132 | −1.32902 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 16.6651 | + | 28.8648i | 0.694982 | + | 1.20374i | ||||
\(576\) | 24.8794 | + | 43.0923i | 1.03664 | + | 1.79551i | ||||
\(577\) | 6.00662 | + | 10.4038i | 0.250059 | + | 0.433115i | 0.963542 | − | 0.267558i | \(-0.0862167\pi\) |
−0.713483 | + | 0.700673i | \(0.752883\pi\) | |||||||
\(578\) | −58.8811 | −2.44913 | ||||||||
\(579\) | −32.4383 | − | 56.1848i | −1.34809 | − | 2.33496i | ||||
\(580\) | 14.4036 | 0.598078 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −25.2872 | − | 43.7988i | −1.04819 | − | 1.81552i | ||||
\(583\) | −0.250134 | −0.0103595 | ||||||||
\(584\) | −10.0318 | − | 17.3756i | −0.415118 | − | 0.719005i | ||||
\(585\) | 10.7404 | − | 12.1112i | 0.444062 | − | 0.500739i | ||||
\(586\) | 16.8305 | − | 29.1512i | 0.695260 | − | 1.20422i | ||||
\(587\) | 5.21177 | + | 9.02705i | 0.215113 | + | 0.372586i | 0.953307 | − | 0.302002i | \(-0.0976548\pi\) |
−0.738195 | + | 0.674588i | \(0.764321\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.71876 | + | 9.90518i | −0.235637 | + | 0.408136i | ||||
\(590\) | 7.04728 | − | 12.2062i | 0.290132 | − | 0.502523i | ||||
\(591\) | −4.04727 | −0.166482 | ||||||||
\(592\) | 4.04679 | 0.166322 | ||||||||
\(593\) | −11.1751 | + | 19.3558i | −0.458905 | + | 0.794847i | −0.998903 | − | 0.0468194i | \(-0.985091\pi\) |
0.539998 | + | 0.841666i | \(0.318425\pi\) | |||||||
\(594\) | −3.03307 | + | 5.25344i | −0.124449 | + | 0.215551i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −5.19607 | − | 8.99986i | −0.212839 | − | 0.368649i | ||||
\(597\) | 12.9237 | − | 22.3845i | 0.528931 | − | 0.916135i | ||||
\(598\) | 47.1880 | − | 53.2107i | 1.92966 | − | 2.17595i | ||||
\(599\) | −0.579463 | − | 1.00366i | −0.0236762 | − | 0.0410084i | 0.853945 | − | 0.520364i | \(-0.174204\pi\) |
−0.877621 | + | 0.479356i | \(0.840870\pi\) | |||||||
\(600\) | 45.1448 | 1.84303 | ||||||||
\(601\) | 21.0907 | + | 36.5301i | 0.860306 | + | 1.49009i | 0.871633 | + | 0.490158i | \(0.163061\pi\) |
−0.0113271 | + | 0.999936i | \(0.503606\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 32.0540 | 1.30534 | ||||||||
\(604\) | 42.6014 | + | 73.7879i | 1.73343 | + | 3.00239i | ||||
\(605\) | 10.4657 | 0.425491 | ||||||||
\(606\) | 8.66444 | + | 15.0072i | 0.351969 | + | 0.609628i | ||||
\(607\) | −9.07844 | − | 15.7243i | −0.368482 | − | 0.638230i | 0.620846 | − | 0.783932i | \(-0.286789\pi\) |
−0.989328 | + | 0.145702i | \(0.953456\pi\) | |||||||
\(608\) | −5.02970 | − | 8.71169i | −0.203981 | − | 0.353306i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5.17640 | −0.209586 | ||||||||
\(611\) | −4.94851 | − | 14.8473i | −0.200195 | − | 0.600657i | ||||
\(612\) | −54.6147 | − | 94.5955i | −2.20767 | − | 3.82380i | ||||
\(613\) | 0.451323 | − | 0.781714i | 0.0182288 | − | 0.0315731i | −0.856767 | − | 0.515703i | \(-0.827531\pi\) |
0.874996 | + | 0.484130i | \(0.160864\pi\) | |||||||
\(614\) | 37.9187 | 1.53027 | ||||||||
\(615\) | −4.96177 | + | 8.59404i | −0.200078 | + | 0.346545i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 13.0218 | − | 22.5544i | 0.524238 | − | 0.908008i | −0.475363 | − | 0.879790i | \(-0.657683\pi\) |
0.999602 | − | 0.0282180i | \(-0.00898327\pi\) | |||||||
\(618\) | 35.6848 | + | 61.8079i | 1.43545 | + | 2.48628i | ||||
\(619\) | 13.4171 | + | 23.2390i | 0.539277 | + | 0.934056i | 0.998943 | + | 0.0459638i | \(0.0146359\pi\) |
−0.459666 | + | 0.888092i | \(0.652031\pi\) | |||||||
\(620\) | −10.8703 | −0.436562 | ||||||||
\(621\) | 35.6961 | 1.43244 | ||||||||
\(622\) | 34.1530 | + | 59.1547i | 1.36941 | + | 2.37189i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −7.22948 | − | 21.6910i | −0.289411 | − | 0.868335i | ||||
\(625\) | −5.72894 | + | 9.92281i | −0.229158 | + | 0.396912i | ||||
\(626\) | 22.1839 | − | 38.4237i | 0.886649 | − | 1.53572i | ||||
\(627\) | 3.09467 | − | 5.36012i | 0.123589 | − | 0.214063i | ||||
\(628\) | 41.7962 | + | 72.3932i | 1.66785 | + | 2.88880i | ||||
\(629\) | 11.3328 | 0.451869 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 16.8061 | − | 29.1089i | 0.669039 | − | 1.15881i | −0.309135 | − | 0.951018i | \(-0.600039\pi\) |
0.978173 | − | 0.207791i | \(-0.0666273\pi\) | |||||||
\(632\) | 5.66296 | − | 9.80853i | 0.225260 | − | 0.390162i | ||||
\(633\) | −24.6042 | −0.977930 | ||||||||
\(634\) | 36.5901 | − | 63.3760i | 1.45318 | − | 2.51698i | ||||
\(635\) | −4.17494 | −0.165678 | ||||||||
\(636\) | 4.33539 | 0.171909 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −5.55889 | −0.220078 | ||||||||
\(639\) | 16.4659 | 0.651379 | ||||||||
\(640\) | 10.1865 | − | 17.6435i | 0.402655 | − | 0.697419i | ||||
\(641\) | 21.1841 | 0.836722 | 0.418361 | − | 0.908281i | \(-0.362605\pi\) | ||||
0.418361 | + | 0.908281i | \(0.362605\pi\) | |||||||
\(642\) | −52.5010 | + | 90.9343i | −2.07205 | + | 3.58889i | ||||
\(643\) | 0.330770 | − | 0.572910i | 0.0130443 | − | 0.0225933i | −0.859430 | − | 0.511254i | \(-0.829181\pi\) |
0.872474 | + | 0.488661i | \(0.162514\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −17.2457 | −0.679047 | ||||||||
\(646\) | 29.4917 | + | 51.0811i | 1.16034 | + | 2.00976i | ||||
\(647\) | −20.0162 | + | 34.6690i | −0.786916 | + | 1.36298i | 0.140931 | + | 0.990019i | \(0.454990\pi\) |
−0.927848 | + | 0.372960i | \(0.878343\pi\) | |||||||
\(648\) | −3.70268 | + | 6.41323i | −0.145455 | + | 0.251936i | ||||
\(649\) | −1.76594 | + | 3.05870i | −0.0693193 | + | 0.120065i | ||||
\(650\) | 34.0376 | + | 6.96654i | 1.33506 | + | 0.273250i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −15.1388 | − | 26.2212i | −0.592883 | − | 1.02690i | ||||
\(653\) | 12.7120 | 0.497460 | 0.248730 | − | 0.968573i | \(-0.419987\pi\) | ||||
0.248730 | + | 0.968573i | \(0.419987\pi\) | |||||||
\(654\) | −60.6782 | −2.37271 | ||||||||
\(655\) | 1.06556 | + | 1.84560i | 0.0416349 | + | 0.0721138i | ||||
\(656\) | 4.23107 | + | 7.32844i | 0.165196 | + | 0.286127i | ||||
\(657\) | 11.2764 | − | 19.5313i | 0.439933 | − | 0.761987i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7.09522 | − | 12.2893i | 0.276391 | − | 0.478723i | −0.694094 | − | 0.719884i | \(-0.744195\pi\) |
0.970485 | + | 0.241161i | \(0.0775283\pi\) | |||||||
\(660\) | 5.88239 | 0.228972 | ||||||||
\(661\) | 25.0890 | − | 43.4554i | 0.975848 | − | 1.69022i | 0.298742 | − | 0.954334i | \(-0.403433\pi\) |
0.677106 | − | 0.735885i | \(-0.263234\pi\) | |||||||
\(662\) | 32.5104 | + | 56.3096i | 1.26355 | + | 2.18853i | ||||
\(663\) | −20.2458 | − | 60.7444i | −0.786280 | − | 2.35912i | ||||
\(664\) | −11.6625 | −0.452594 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 9.58259 | + | 16.5975i | 0.371318 | + | 0.643141i | ||||
\(667\) | 16.3556 | + | 28.3287i | 0.633290 | + | 1.09689i | ||||
\(668\) | −4.30944 | − | 7.46417i | −0.166737 | − | 0.288797i | ||||
\(669\) | −60.0362 | −2.32113 | ||||||||
\(670\) | −8.22530 | − | 14.2466i | −0.317771 | − | 0.550396i | ||||
\(671\) | 1.29713 | 0.0500751 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.937137 | + | 1.62317i | 0.0361240 | + | 0.0625685i | 0.883522 | − | 0.468389i | \(-0.155166\pi\) |
−0.847398 | + | 0.530958i | \(0.821832\pi\) | |||||||
\(674\) | 29.4112 | 1.13288 | ||||||||
\(675\) | 8.71902 | + | 15.1018i | 0.335595 | + | 0.581268i | ||||
\(676\) | −5.75433 | − | 47.7902i | −0.221321 | − | 1.83808i | ||||
\(677\) | −1.00439 | + | 1.73966i | −0.0386020 | + | 0.0668607i | −0.884681 | − | 0.466197i | \(-0.845624\pi\) |
0.846079 | + | 0.533058i | \(0.178957\pi\) | |||||||
\(678\) | 33.4453 | + | 57.9290i | 1.28446 | + | 2.22475i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −12.8894 | + | 22.3251i | −0.494286 | + | 0.856128i | ||||
\(681\) | −25.5234 | + | 44.2079i | −0.978061 | + | 1.69405i | ||||
\(682\) | 4.19525 | 0.160644 | ||||||||
\(683\) | −14.1012 | −0.539568 | −0.269784 | − | 0.962921i | \(-0.586952\pi\) | ||||
−0.269784 | + | 0.962921i | \(0.586952\pi\) | |||||||
\(684\) | −32.3828 | + | 56.0886i | −1.23819 | + | 2.14460i | ||||
\(685\) | 4.10748 | − | 7.11437i | 0.156939 | − | 0.271826i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 26.6212 | + | 46.1094i | 1.01566 | + | 1.75918i | ||||
\(688\) | −7.35298 | + | 12.7357i | −0.280330 | + | 0.485546i | ||||
\(689\) | 1.50315 | + | 0.307652i | 0.0572654 | + | 0.0117206i | ||||
\(690\) | −26.6559 | − | 46.1693i | −1.01477 | − | 1.75764i | ||||
\(691\) | 35.6920 | 1.35779 | 0.678895 | − | 0.734236i | \(-0.262459\pi\) | ||||
0.678895 | + | 0.734236i | \(0.262459\pi\) | |||||||
\(692\) | −15.0585 | − | 26.0820i | −0.572437 | − | 0.991489i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −14.6746 | −0.557041 | ||||||||
\(695\) | 0.283346 | + | 0.490769i | 0.0107479 | + | 0.0186159i | ||||
\(696\) | 44.3064 | 1.67943 | ||||||||
\(697\) | 11.8489 | + | 20.5229i | 0.448809 | + | 0.777360i | ||||
\(698\) | −15.5596 | − | 26.9500i | −0.588938 | − | 1.02007i | ||||
\(699\) | −22.2366 | − | 38.5150i | −0.841066 | − | 1.45677i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −6.15865 | −0.232609 | −0.116305 | − | 0.993214i | \(-0.537105\pi\) | ||||
−0.116305 | + | 0.993214i | \(0.537105\pi\) | |||||||
\(702\) | 24.6883 | − | 27.8394i | 0.931802 | − | 1.05073i | ||||
\(703\) | −3.35979 | − | 5.81932i | −0.126717 | − | 0.219480i | ||||
\(704\) | −3.19959 | + | 5.54185i | −0.120589 | + | 0.208866i | ||||
\(705\) | −11.7314 | −0.441831 | ||||||||
\(706\) | −37.8103 | + | 65.4894i | −1.42301 | + | 2.46473i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 30.6078 | − | 53.0143i | 1.15031 | − | 1.99240i | ||||
\(709\) | −17.0185 | − | 29.4770i | −0.639144 | − | 1.10703i | −0.985621 | − | 0.168972i | \(-0.945955\pi\) |
0.346477 | − | 0.938059i | \(-0.387378\pi\) | |||||||
\(710\) | −4.22527 | − | 7.31838i | −0.158571 | − | 0.274654i | ||||
\(711\) | 12.7311 | 0.477452 | ||||||||
\(712\) | −8.51094 | −0.318961 | ||||||||
\(713\) | −12.3434 | − | 21.3794i | −0.462265 | − | 0.800667i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.03952 | + | 0.417432i | 0.0762736 | + | 0.0156111i | ||||
\(716\) | 38.8648 | − | 67.3158i | 1.45244 | − | 2.51571i | ||||
\(717\) | −22.1545 | + | 38.3727i | −0.827375 | + | 1.43306i | ||||
\(718\) | 23.7994 | − | 41.2218i | 0.888187 | − | 1.53838i | ||||
\(719\) | −11.4824 | − | 19.8881i | −0.428222 | − | 0.741702i | 0.568493 | − | 0.822688i | \(-0.307526\pi\) |
−0.996715 | + | 0.0809859i | \(0.974193\pi\) | |||||||
\(720\) | −10.3473 | −0.385621 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −5.19981 | + | 9.00633i | −0.193517 | + | 0.335181i | ||||
\(723\) | −5.51122 | + | 9.54571i | −0.204964 | + | 0.355009i | ||||
\(724\) | 5.95424 | 0.221288 | ||||||||
\(725\) | −7.98992 | + | 13.8389i | −0.296738 | + | 0.513966i | ||||
\(726\) | 70.0067 | 2.59819 | ||||||||
\(727\) | −1.06558 | −0.0395203 | −0.0197601 | − | 0.999805i | \(-0.506290\pi\) | ||||
−0.0197601 | + | 0.999805i | \(0.506290\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −43.9962 | −1.62949 | ||||||||
\(730\) | −11.5744 | −0.428389 | ||||||||
\(731\) | −20.5916 | + | 35.6658i | −0.761609 | + | 1.31915i | ||||
\(732\) | −22.4822 | −0.830966 | ||||||||
\(733\) | −13.1689 | + | 22.8092i | −0.486404 | + | 0.842476i | −0.999878 | − | 0.0156289i | \(-0.995025\pi\) |
0.513474 | + | 0.858105i | \(0.328358\pi\) | |||||||
\(734\) | −23.5448 | + | 40.7809i | −0.869056 | + | 1.50525i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 21.7123 | 0.800326 | ||||||||
\(737\) | 2.06114 | + | 3.57000i | 0.0759230 | + | 0.131502i | ||||
\(738\) | −20.0379 | + | 34.7067i | −0.737606 | + | 1.27757i | ||||
\(739\) | −17.1075 | + | 29.6310i | −0.629308 | + | 1.08999i | 0.358383 | + | 0.933575i | \(0.383328\pi\) |
−0.987691 | + | 0.156419i | \(0.950005\pi\) | |||||||
\(740\) | 3.19317 | − | 5.53073i | 0.117383 | − | 0.203314i | ||||
\(741\) | −25.1897 | + | 28.4047i | −0.925366 | + | 1.04347i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −11.2391 | − | 19.4667i | −0.412322 | − | 0.714163i | 0.582821 | − | 0.812600i | \(-0.301949\pi\) |
−0.995143 | + | 0.0984379i | \(0.968615\pi\) | |||||||
\(744\) | −33.4377 | −1.22588 | ||||||||
\(745\) | −2.75689 | −0.101005 | ||||||||
\(746\) | 20.9513 | + | 36.2888i | 0.767083 | + | 1.32863i | ||||
\(747\) | −6.55472 | − | 11.3531i | −0.239825 | − | 0.415388i | ||||
\(748\) | 7.02368 | − | 12.1654i | 0.256811 | − | 0.444810i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 29.1573 | − | 50.5018i | 1.06467 | − | 1.84407i | ||||
\(751\) | −42.5424 | −1.55239 | −0.776197 | − | 0.630491i | \(-0.782854\pi\) | ||||
−0.776197 | + | 0.630491i | \(0.782854\pi\) | |||||||
\(752\) | −5.00189 | + | 8.66353i | −0.182400 | + | 0.315927i | ||||
\(753\) | 4.46686 | + | 7.73683i | 0.162781 | + | 0.281946i | ||||
\(754\) | 33.4054 | + | 6.83715i | 1.21655 | + | 0.248994i | ||||
\(755\) | 22.6031 | 0.822612 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.61902 | + | 9.73243i | 0.204227 | + | 0.353731i | 0.949886 | − | 0.312596i | \(-0.101199\pi\) |
−0.745659 | + | 0.666327i | \(0.767865\pi\) | |||||||
\(758\) | −13.9716 | − | 24.1996i | −0.507473 | − | 0.878969i | ||||
\(759\) | 6.67956 | + | 11.5693i | 0.242453 | + | 0.419941i | ||||
\(760\) | 15.2850 | 0.554447 | ||||||||
\(761\) | 6.40422 | + | 11.0924i | 0.232153 | + | 0.402101i | 0.958441 | − | 0.285289i | \(-0.0920897\pi\) |
−0.726289 | + | 0.687390i | \(0.758756\pi\) | |||||||
\(762\) | −27.9269 | −1.01168 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 21.4059 | + | 37.0760i | 0.774437 | + | 1.34136i | ||||
\(765\) | −28.9770 | −1.04767 | ||||||||
\(766\) | 25.7058 | + | 44.5238i | 0.928789 | + | 1.60871i | ||||
\(767\) | 14.3743 | − | 16.2089i | 0.519024 | − | 0.585268i | ||||
\(768\) | 38.1846 | − | 66.1377i | 1.37787 | − | 2.38654i | ||||
\(769\) | −25.6759 | − | 44.4719i | −0.925895 | − | 1.60370i | −0.790115 | − | 0.612958i | \(-0.789979\pi\) |
−0.135780 | − | 0.990739i | \(-0.543354\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −36.9969 | + | 64.0805i | −1.33241 | + | 2.30780i | ||||
\(772\) | −43.6529 | + | 75.6091i | −1.57110 | + | 2.72123i | ||||
\(773\) | −20.0046 | −0.719517 | −0.359759 | − | 0.933045i | \(-0.617141\pi\) | ||||
−0.359759 | + | 0.933045i | \(0.617141\pi\) | |||||||
\(774\) | −69.6459 | −2.50337 | ||||||||
\(775\) | 6.02993 | − | 10.4441i | 0.216602 | − | 0.375165i |