Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(163,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.163");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.g (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.05503558921\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 487.3 | ||
Root | \(0.500000 + 0.224437i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.487 |
Dual form | 1134.2.g.n.163.3 |
$q$-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 \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 1.84981 | + | 3.20397i | 0.827262 | + | 1.43286i | 0.900178 | + | 0.435522i | \(0.143436\pi\) |
−0.0729162 | + | 0.997338i | \(0.523231\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.23855 | − | 2.33795i | −0.468128 | − | 0.883661i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.84981 | + | 3.20397i | −0.584963 | + | 1.01318i | ||||
\(11\) | −0.738550 | + | 1.27921i | −0.222681 | + | 0.385695i | −0.955621 | − | 0.294598i | \(-0.904814\pi\) |
0.732940 | + | 0.680293i | \(0.238148\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.69963 | 0.748742 | 0.374371 | − | 0.927279i | \(-0.377859\pi\) | ||||
0.374371 | + | 0.927279i | \(0.377859\pi\) | |||||||
\(14\) | 1.40545 | − | 2.24159i | 0.375621 | − | 0.599090i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −3.28799 | + | 5.69497i | −0.797455 | + | 1.38123i | 0.123813 | + | 0.992306i | \(0.460488\pi\) |
−0.921268 | + | 0.388927i | \(0.872846\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.444368 | − | 0.769668i | −0.101945 | − | 0.176574i | 0.810541 | − | 0.585682i | \(-0.199173\pi\) |
−0.912486 | + | 0.409108i | \(0.865840\pi\) | |||||||
\(20\) | −3.69963 | −0.827262 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.47710 | −0.314919 | ||||||||
\(23\) | 3.14400 | + | 5.44556i | 0.655568 | + | 1.13548i | 0.981751 | + | 0.190171i | \(0.0609043\pi\) |
−0.326182 | + | 0.945307i | \(0.605762\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.34362 | + | 7.52338i | −0.868725 | + | 1.50468i | ||||
\(26\) | 1.34981 | + | 2.33795i | 0.264720 | + | 0.458509i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.64400 | + | 0.0963576i | 0.499668 | + | 0.0182099i | ||||
\(29\) | 2.51052 | 0.466192 | 0.233096 | − | 0.972454i | \(-0.425114\pi\) | ||||
0.233096 | + | 0.972454i | \(0.425114\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.40545 | + | 5.89841i | −0.611636 | + | 1.05938i | 0.379329 | + | 0.925262i | \(0.376155\pi\) |
−0.990965 | + | 0.134123i | \(0.957178\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −6.57598 | −1.12777 | ||||||||
\(35\) | 5.19963 | − | 8.29305i | 0.878898 | − | 1.40178i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.38874 | − | 2.40536i | −0.228307 | − | 0.395439i | 0.729000 | − | 0.684514i | \(-0.239986\pi\) |
−0.957306 | + | 0.289075i | \(0.906652\pi\) | |||||||
\(38\) | 0.444368 | − | 0.769668i | 0.0720860 | − | 0.124857i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.84981 | − | 3.20397i | −0.292481 | − | 0.506592i | ||||
\(41\) | −4.11126 | −0.642072 | −0.321036 | − | 0.947067i | \(-0.604031\pi\) | ||||
−0.321036 | + | 0.947067i | \(0.604031\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.0123797 | −0.00188789 | −0.000943944 | − | 1.00000i | \(-0.500300\pi\) | ||||
−0.000943944 | 1.00000i | \(0.500300\pi\) | ||||||||
\(44\) | −0.738550 | − | 1.27921i | −0.111341 | − | 0.192848i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.14400 | + | 5.44556i | −0.463557 | + | 0.802904i | ||||
\(47\) | −3.49381 | − | 6.05146i | −0.509625 | − | 0.882696i | −0.999938 | − | 0.0111494i | \(-0.996451\pi\) |
0.490313 | − | 0.871546i | \(-0.336882\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.93199 | + | 5.79133i | −0.561713 | + | 0.827332i | ||||
\(50\) | −8.68725 | −1.22856 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.34981 | + | 2.33795i | −0.187186 | + | 0.324215i | ||||
\(53\) | 1.60507 | − | 2.78007i | 0.220474 | − | 0.381872i | −0.734478 | − | 0.678632i | \(-0.762573\pi\) |
0.954952 | + | 0.296760i | \(0.0959063\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.46472 | −0.736863 | ||||||||
\(56\) | 1.23855 | + | 2.33795i | 0.165508 | + | 0.312421i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.25526 | + | 2.17417i | 0.164824 | + | 0.285483i | ||||
\(59\) | 3.45489 | − | 5.98404i | 0.449788 | − | 0.779056i | −0.548584 | − | 0.836096i | \(-0.684833\pi\) |
0.998372 | + | 0.0570397i | \(0.0181661\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.86652 | + | 4.96497i | 0.367021 | + | 0.635699i | 0.989098 | − | 0.147257i | \(-0.0470444\pi\) |
−0.622077 | + | 0.782956i | \(0.713711\pi\) | |||||||
\(62\) | −6.81089 | −0.864984 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 4.99381 | + | 8.64953i | 0.619406 | + | 1.07284i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.73236 | − | 8.19669i | 0.578150 | − | 1.00138i | −0.417542 | − | 0.908658i | \(-0.637108\pi\) |
0.995692 | − | 0.0927271i | \(-0.0295584\pi\) | |||||||
\(68\) | −3.28799 | − | 5.69497i | −0.398728 | − | 0.690616i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 9.78180 | + | 0.356487i | 1.16915 | + | 0.0426084i | ||||
\(71\) | 5.46472 | 0.648543 | 0.324271 | − | 0.945964i | \(-0.394881\pi\) | ||||
0.324271 | + | 0.945964i | \(0.394881\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.03273 | + | 10.4490i | −0.706078 | + | 1.22296i | 0.260223 | + | 0.965548i | \(0.416204\pi\) |
−0.966301 | + | 0.257414i | \(0.917130\pi\) | |||||||
\(74\) | 1.38874 | − | 2.40536i | 0.161437 | − | 0.279618i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.888736 | 0.101945 | ||||||||
\(77\) | 3.90545 | + | 0.142330i | 0.445067 | + | 0.0162200i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.72617 | − | 9.91802i | −0.644244 | − | 1.11586i | −0.984475 | − | 0.175522i | \(-0.943839\pi\) |
0.340231 | − | 0.940342i | \(-0.389495\pi\) | |||||||
\(80\) | 1.84981 | − | 3.20397i | 0.206816 | − | 0.358215i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.05563 | − | 3.56046i | −0.227007 | − | 0.393187i | ||||
\(83\) | 4.47710 | 0.491426 | 0.245713 | − | 0.969343i | \(-0.420978\pi\) | ||||
0.245713 | + | 0.969343i | \(0.420978\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −24.3287 | −2.63882 | ||||||||
\(86\) | −0.00618986 | − | 0.0107211i | −0.000667469 | − | 0.00115609i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.738550 | − | 1.27921i | 0.0787297 | − | 0.136364i | ||||
\(89\) | 4.43818 | + | 7.68715i | 0.470446 | + | 0.814836i | 0.999429 | − | 0.0337963i | \(-0.0107597\pi\) |
−0.528983 | + | 0.848633i | \(0.677426\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.34362 | − | 6.31159i | −0.350507 | − | 0.661634i | ||||
\(92\) | −6.28799 | −0.655568 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.49381 | − | 6.05146i | 0.360359 | − | 0.624160i | ||||
\(95\) | 1.64400 | − | 2.84748i | 0.168670 | − | 0.292146i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.1767 | 1.33789 | 0.668947 | − | 0.743310i | \(-0.266745\pi\) | ||||
0.668947 | + | 0.743310i | \(0.266745\pi\) | |||||||
\(98\) | −6.98143 | − | 0.509538i | −0.705231 | − | 0.0514711i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.34362 | − | 7.52338i | −0.434362 | − | 0.752338i | ||||
\(101\) | 2.62729 | − | 4.55059i | 0.261425 | − | 0.452801i | −0.705196 | − | 0.709012i | \(-0.749141\pi\) |
0.966621 | + | 0.256212i | \(0.0824744\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.833104 | − | 1.44298i | −0.0820882 | − | 0.142181i | 0.822059 | − | 0.569403i | \(-0.192826\pi\) |
−0.904147 | + | 0.427222i | \(0.859492\pi\) | |||||||
\(104\) | −2.69963 | −0.264720 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.21015 | 0.311797 | ||||||||
\(107\) | 5.38255 | + | 9.32284i | 0.520350 | + | 0.901273i | 0.999720 | + | 0.0236602i | \(0.00753198\pi\) |
−0.479370 | + | 0.877613i | \(0.659135\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.0945538 | + | 0.163772i | −0.00905662 | + | 0.0156865i | −0.870518 | − | 0.492136i | \(-0.836216\pi\) |
0.861462 | + | 0.507823i | \(0.169550\pi\) | |||||||
\(110\) | −2.73236 | − | 4.73259i | −0.260520 | − | 0.451234i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.40545 | + | 2.24159i | −0.132802 | + | 0.211810i | ||||
\(113\) | −13.5636 | −1.27596 | −0.637978 | − | 0.770054i | \(-0.720229\pi\) | ||||
−0.637978 | + | 0.770054i | \(0.720229\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −11.6316 | + | 20.1466i | −1.08465 | + | 1.87868i | ||||
\(116\) | −1.25526 | + | 2.17417i | −0.116548 | + | 0.201867i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 6.90978 | 0.636097 | ||||||||
\(119\) | 17.3869 | + | 0.633646i | 1.59385 | + | 0.0580862i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.40909 | + | 7.63676i | 0.400826 | + | 0.694251i | ||||
\(122\) | −2.86652 | + | 4.96497i | −0.259523 | + | 0.449507i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.40545 | − | 5.89841i | −0.305818 | − | 0.529692i | ||||
\(125\) | −13.6414 | −1.22013 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.85669 | −0.253490 | −0.126745 | − | 0.991935i | \(-0.540453\pi\) | ||||
−0.126745 | + | 0.991935i | \(0.540453\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.99381 | + | 8.64953i | −0.437986 | + | 0.758614i | ||||
\(131\) | 0.0778435 | + | 0.134829i | 0.00680122 | + | 0.0117801i | 0.869406 | − | 0.494098i | \(-0.164502\pi\) |
−0.862605 | + | 0.505878i | \(0.831168\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.24907 | + | 1.99218i | −0.108308 | + | 0.172744i | ||||
\(134\) | 9.46472 | 0.817627 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.28799 | − | 5.69497i | 0.281943 | − | 0.488340i | ||||
\(137\) | −1.70582 | + | 2.95456i | −0.145738 | + | 0.252425i | −0.929648 | − | 0.368449i | \(-0.879889\pi\) |
0.783910 | + | 0.620874i | \(0.213222\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 13.5105 | 1.14595 | 0.572974 | − | 0.819574i | \(-0.305790\pi\) | ||||
0.572974 | + | 0.819574i | \(0.305790\pi\) | |||||||
\(140\) | 4.58217 | + | 8.64953i | 0.387264 | + | 0.731019i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.73236 | + | 4.73259i | 0.229295 | + | 0.397150i | ||||
\(143\) | −1.99381 | + | 3.45338i | −0.166731 | + | 0.288786i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.64400 | + | 8.04364i | 0.385663 | + | 0.667988i | ||||
\(146\) | −12.0655 | −0.998545 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.77747 | 0.228307 | ||||||||
\(149\) | 0.166896 | + | 0.289073i | 0.0136727 | + | 0.0236818i | 0.872781 | − | 0.488112i | \(-0.162314\pi\) |
−0.859108 | + | 0.511794i | \(0.828981\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.95489 | − | 17.2424i | 0.810117 | − | 1.40316i | −0.102664 | − | 0.994716i | \(-0.532737\pi\) |
0.912781 | − | 0.408448i | \(-0.133930\pi\) | |||||||
\(152\) | 0.444368 | + | 0.769668i | 0.0360430 | + | 0.0624283i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.82946 | + | 3.45338i | 0.147422 | + | 0.278281i | ||||
\(155\) | −25.1978 | −2.02393 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.48143 | − | 6.03001i | 0.277848 | − | 0.481248i | −0.693001 | − | 0.720936i | \(-0.743712\pi\) |
0.970850 | + | 0.239689i | \(0.0770454\pi\) | |||||||
\(158\) | 5.72617 | − | 9.91802i | 0.455550 | − | 0.789035i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.69963 | 0.292481 | ||||||||
\(161\) | 8.83743 | − | 14.0951i | 0.696487 | − | 1.11085i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.03706 | + | 6.99240i | 0.316207 | + | 0.547687i | 0.979693 | − | 0.200502i | \(-0.0642572\pi\) |
−0.663486 | + | 0.748189i | \(0.730924\pi\) | |||||||
\(164\) | 2.05563 | − | 3.56046i | 0.160518 | − | 0.278025i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.23855 | + | 3.87728i | 0.173745 | + | 0.300935i | ||||
\(167\) | 19.4858 | 1.50785 | 0.753927 | − | 0.656959i | \(-0.228157\pi\) | ||||
0.753927 | + | 0.656959i | \(0.228157\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.71201 | −0.439385 | ||||||||
\(170\) | −12.1643 | − | 21.0693i | −0.932963 | − | 1.61594i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.00618986 | − | 0.0107211i | 0.000471972 | − | 0.000817480i | ||||
\(173\) | 11.2818 | + | 19.5407i | 0.857740 | + | 1.48565i | 0.874080 | + | 0.485782i | \(0.161465\pi\) |
−0.0163405 | + | 0.999866i | \(0.505202\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 22.9691 | + | 0.837082i | 1.73630 | + | 0.0632775i | ||||
\(176\) | 1.47710 | 0.111341 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −4.43818 | + | 7.68715i | −0.332656 | + | 0.576176i | ||||
\(179\) | −0.166896 | + | 0.289073i | −0.0124744 | + | 0.0216063i | −0.872195 | − | 0.489158i | \(-0.837304\pi\) |
0.859721 | + | 0.510764i | \(0.170637\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 23.2422 | 1.72758 | 0.863789 | − | 0.503853i | \(-0.168085\pi\) | ||||
0.863789 | + | 0.503853i | \(0.168085\pi\) | |||||||
\(182\) | 3.79418 | − | 6.05146i | 0.281243 | − | 0.448564i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.14400 | − | 5.44556i | −0.231778 | − | 0.401452i | ||||
\(185\) | 5.13781 | − | 8.89894i | 0.377739 | − | 0.654263i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.85669 | − | 8.41204i | −0.355157 | − | 0.615149i | ||||
\(188\) | 6.98762 | 0.509625 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.28799 | 0.238536 | ||||||||
\(191\) | −8.16071 | − | 14.1348i | −0.590488 | − | 1.02276i | −0.994167 | − | 0.107854i | \(-0.965602\pi\) |
0.403679 | − | 0.914901i | \(-0.367731\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.16071 | − | 12.4027i | 0.515439 | − | 0.892766i | −0.484400 | − | 0.874846i | \(-0.660962\pi\) |
0.999839 | − | 0.0179200i | \(-0.00570443\pi\) | |||||||
\(194\) | 6.58836 | + | 11.4114i | 0.473017 | + | 0.819289i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.04944 | − | 6.30087i | −0.217817 | − | 0.450062i | ||||
\(197\) | −2.42402 | −0.172704 | −0.0863520 | − | 0.996265i | \(-0.527521\pi\) | ||||
−0.0863520 | + | 0.996265i | \(0.527521\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.05563 | + | 5.29251i | −0.216608 | + | 0.375176i | −0.953769 | − | 0.300541i | \(-0.902833\pi\) |
0.737161 | + | 0.675717i | \(0.236166\pi\) | |||||||
\(200\) | 4.34362 | − | 7.52338i | 0.307141 | − | 0.531983i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 5.25457 | 0.369710 | ||||||||
\(203\) | −3.10940 | − | 5.86946i | −0.218237 | − | 0.411956i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −7.60507 | − | 13.1724i | −0.531161 | − | 0.919999i | ||||
\(206\) | 0.833104 | − | 1.44298i | 0.0580451 | − | 0.100537i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.34981 | − | 2.33795i | −0.0935928 | − | 0.162107i | ||||
\(209\) | 1.31275 | 0.0908049 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.4451 | −0.787910 | −0.393955 | − | 0.919130i | \(-0.628893\pi\) | ||||
−0.393955 | + | 0.919130i | \(0.628893\pi\) | |||||||
\(212\) | 1.60507 | + | 2.78007i | 0.110237 | + | 0.190936i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.38255 | + | 9.32284i | −0.367943 | + | 0.637296i | ||||
\(215\) | −0.0229002 | − | 0.0396643i | −0.00156178 | − | 0.00270508i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 18.0080 | + | 0.656281i | 1.22246 | + | 0.0445513i | ||||
\(218\) | −0.189108 | −0.0128080 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.73236 | − | 4.73259i | 0.184216 | − | 0.319071i | ||||
\(221\) | −8.87636 | + | 15.3743i | −0.597088 | + | 1.03419i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.22253 | 0.483656 | 0.241828 | − | 0.970319i | \(-0.422253\pi\) | ||||
0.241828 | + | 0.970319i | \(0.422253\pi\) | |||||||
\(224\) | −2.64400 | − | 0.0963576i | −0.176659 | − | 0.00643816i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.78180 | − | 11.7464i | −0.451119 | − | 0.781361i | ||||
\(227\) | 6.82760 | − | 11.8258i | 0.453164 | − | 0.784903i | −0.545417 | − | 0.838165i | \(-0.683629\pi\) |
0.998581 | + | 0.0532622i | \(0.0169619\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.68725 | − | 15.0468i | −0.574070 | − | 0.994318i | −0.996142 | − | 0.0877555i | \(-0.972031\pi\) |
0.422073 | − | 0.906562i | \(-0.361303\pi\) | |||||||
\(230\) | −23.2632 | −1.53393 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.51052 | −0.164824 | ||||||||
\(233\) | −7.62110 | − | 13.2001i | −0.499275 | − | 0.864769i | 0.500725 | − | 0.865606i | \(-0.333067\pi\) |
−1.00000 | 0.000837426i | \(0.999733\pi\) | ||||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 12.9258 | − | 22.3881i | 0.843186 | − | 1.46044i | ||||
\(236\) | 3.45489 | + | 5.98404i | 0.224894 | + | 0.389528i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 8.14468 | + | 15.3743i | 0.527942 | + | 0.996568i | ||||
\(239\) | 18.9505 | 1.22580 | 0.612902 | − | 0.790159i | \(-0.290002\pi\) | ||||
0.612902 | + | 0.790159i | \(0.290002\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 12.2527 | − | 21.2223i | 0.789267 | − | 1.36705i | −0.137150 | − | 0.990550i | \(-0.543794\pi\) |
0.926417 | − | 0.376500i | \(-0.122872\pi\) | |||||||
\(242\) | −4.40909 | + | 7.63676i | −0.283427 | + | 0.490910i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −5.73305 | −0.367021 | ||||||||
\(245\) | −25.8287 | − | 1.88510i | −1.65013 | − | 0.120435i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.19963 | − | 2.07782i | −0.0763305 | − | 0.132208i | ||||
\(248\) | 3.40545 | − | 5.89841i | 0.216246 | − | 0.374549i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −6.82072 | − | 11.8138i | −0.431380 | − | 0.747173i | ||||
\(251\) | 12.1236 | 0.765238 | 0.382619 | − | 0.923906i | \(-0.375022\pi\) | ||||
0.382619 | + | 0.923906i | \(0.375022\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −9.28799 | −0.583931 | ||||||||
\(254\) | −1.42835 | − | 2.47397i | −0.0896224 | − | 0.155231i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −4.10439 | − | 7.10900i | −0.256025 | − | 0.443448i | 0.709149 | − | 0.705059i | \(-0.249079\pi\) |
−0.965173 | + | 0.261611i | \(0.915746\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.90359 | + | 6.22595i | −0.242557 | + | 0.386862i | ||||
\(260\) | −9.98762 | −0.619406 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.0778435 | + | 0.134829i | −0.00480919 | + | 0.00832976i | ||||
\(263\) | −2.67309 | + | 4.62992i | −0.164830 | + | 0.285493i | −0.936595 | − | 0.350414i | \(-0.886041\pi\) |
0.771765 | + | 0.635908i | \(0.219374\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 11.8764 | 0.729559 | ||||||||
\(266\) | −2.34981 | − | 0.0856364i | −0.144076 | − | 0.00525071i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.73236 | + | 8.19669i | 0.289075 | + | 0.500692i | ||||
\(269\) | −9.24219 | + | 16.0079i | −0.563506 | + | 0.976022i | 0.433681 | + | 0.901067i | \(0.357215\pi\) |
−0.997187 | + | 0.0749550i | \(0.976119\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.67742 | − | 6.36947i | −0.223387 | − | 0.386918i | 0.732447 | − | 0.680824i | \(-0.238378\pi\) |
−0.955834 | + | 0.293906i | \(0.905045\pi\) | |||||||
\(272\) | 6.57598 | 0.398728 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.41164 | −0.206104 | ||||||||
\(275\) | −6.41597 | − | 11.1128i | −0.386897 | − | 0.670126i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.54944 | − | 7.87987i | 0.273349 | − | 0.473455i | −0.696368 | − | 0.717685i | \(-0.745202\pi\) |
0.969717 | + | 0.244230i | \(0.0785351\pi\) | |||||||
\(278\) | 6.75526 | + | 11.7005i | 0.405154 | + | 0.701747i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.19963 | + | 8.29305i | −0.310737 | + | 0.495604i | ||||
\(281\) | 12.0087 | 0.716377 | 0.358188 | − | 0.933649i | \(-0.383395\pi\) | ||||
0.358188 | + | 0.933649i | \(0.383395\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.92147 | + | 8.52423i | −0.292551 | + | 0.506713i | −0.974412 | − | 0.224768i | \(-0.927837\pi\) |
0.681861 | + | 0.731481i | \(0.261171\pi\) | |||||||
\(284\) | −2.73236 | + | 4.73259i | −0.162136 | + | 0.280827i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.98762 | −0.235793 | ||||||||
\(287\) | 5.09201 | + | 9.61192i | 0.300572 | + | 0.567373i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.1218 | − | 22.7276i | −0.771870 | − | 1.33692i | ||||
\(290\) | −4.64400 | + | 8.04364i | −0.272705 | + | 0.472339i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −6.03273 | − | 10.4490i | −0.353039 | − | 0.611481i | ||||
\(293\) | 21.4203 | 1.25139 | 0.625694 | − | 0.780069i | \(-0.284816\pi\) | ||||
0.625694 | + | 0.780069i | \(0.284816\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 25.5636 | 1.48837 | ||||||||
\(296\) | 1.38874 | + | 2.40536i | 0.0807186 | + | 0.139809i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.166896 | + | 0.289073i | −0.00966804 | + | 0.0167455i | ||||
\(299\) | 8.48762 | + | 14.7010i | 0.490852 | + | 0.850180i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.0153329 | + | 0.0289431i | 0.000883773 | + | 0.00166825i | ||||
\(302\) | 19.9098 | 1.14568 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.444368 | + | 0.769668i | −0.0254862 | + | 0.0441435i | ||||
\(305\) | −10.6051 | + | 18.3685i | −0.607245 | + | 1.05178i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.68725 | −0.324588 | −0.162294 | − | 0.986742i | \(-0.551889\pi\) | ||||
−0.162294 | + | 0.986742i | \(0.551889\pi\) | |||||||
\(308\) | −2.07598 | + | 3.31105i | −0.118290 | + | 0.188665i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −12.5989 | − | 21.8219i | −0.715569 | − | 1.23940i | ||||
\(311\) | −5.86033 | + | 10.1504i | −0.332309 | + | 0.575576i | −0.982964 | − | 0.183797i | \(-0.941161\pi\) |
0.650655 | + | 0.759373i | \(0.274494\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 13.3869 | + | 23.1868i | 0.756671 | + | 1.31059i | 0.944539 | + | 0.328398i | \(0.106509\pi\) |
−0.187868 | + | 0.982194i | \(0.560158\pi\) | |||||||
\(314\) | 6.96286 | 0.392937 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.4523 | 0.644244 | ||||||||
\(317\) | 0.951246 | + | 1.64761i | 0.0534273 | + | 0.0925388i | 0.891502 | − | 0.453016i | \(-0.149652\pi\) |
−0.838075 | + | 0.545555i | \(0.816319\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.85414 | + | 3.21147i | −0.103812 | + | 0.179808i | ||||
\(320\) | 1.84981 | + | 3.20397i | 0.103408 | + | 0.179107i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 16.6254 | + | 0.605896i | 0.926499 | + | 0.0337653i | ||||
\(323\) | 5.84431 | 0.325186 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −11.7262 | + | 20.3103i | −0.650451 | + | 1.12661i | ||||
\(326\) | −4.03706 | + | 6.99240i | −0.223592 | + | 0.387273i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.11126 | 0.227007 | ||||||||
\(329\) | −9.82072 | + | 15.6634i | −0.541434 | + | 0.863550i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.78366 | − | 4.82144i | −0.153004 | − | 0.265010i | 0.779327 | − | 0.626618i | \(-0.215561\pi\) |
−0.932330 | + | 0.361608i | \(0.882228\pi\) | |||||||
\(332\) | −2.23855 | + | 3.87728i | −0.122856 | + | 0.212794i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 9.74288 | + | 16.8752i | 0.533107 | + | 0.923368i | ||||
\(335\) | 35.0159 | 1.91313 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 33.7738 | 1.83977 | 0.919887 | − | 0.392184i | \(-0.128280\pi\) | ||||
0.919887 | + | 0.392184i | \(0.128280\pi\) | |||||||
\(338\) | −2.85600 | − | 4.94674i | −0.155346 | − | 0.269067i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 12.1643 | − | 21.0693i | 0.659704 | − | 1.14264i | ||||
\(341\) | −5.03018 | − | 8.71253i | −0.272400 | − | 0.471810i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.4098 | + | 2.01993i | 0.994035 | + | 0.109066i | ||||
\(344\) | 0.0123797 | 0.000667469 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.2818 | + | 19.5407i | −0.606513 | + | 1.05051i | ||||
\(347\) | −15.2033 | + | 26.3328i | −0.816154 | + | 1.41362i | 0.0923418 | + | 0.995727i | \(0.470565\pi\) |
−0.908496 | + | 0.417893i | \(0.862769\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.5956 | 0.674230 | 0.337115 | − | 0.941464i | \(-0.390549\pi\) | ||||
0.337115 | + | 0.941464i | \(0.390549\pi\) | |||||||
\(350\) | 10.7596 | + | 20.3103i | 0.575124 | + | 1.08563i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.738550 | + | 1.27921i | 0.0393648 | + | 0.0681819i | ||||
\(353\) | −3.76578 | + | 6.52252i | −0.200432 | + | 0.347159i | −0.948668 | − | 0.316274i | \(-0.897568\pi\) |
0.748235 | + | 0.663433i | \(0.230901\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.1087 | + | 17.5088i | 0.536515 | + | 0.929271i | ||||
\(356\) | −8.87636 | −0.470446 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.333792 | −0.0176415 | ||||||||
\(359\) | 3.44801 | + | 5.97213i | 0.181979 | + | 0.315197i | 0.942554 | − | 0.334053i | \(-0.108416\pi\) |
−0.760575 | + | 0.649250i | \(0.775083\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.10507 | − | 15.7705i | 0.479214 | − | 0.830024i | ||||
\(362\) | 11.6211 | + | 20.1283i | 0.610791 | + | 1.05792i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.13781 | + | 0.260130i | 0.374123 | + | 0.0136345i | ||||
\(365\) | −44.6377 | −2.33645 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.5618 | + | 20.0257i | −0.603522 | + | 1.04533i | 0.388761 | + | 0.921339i | \(0.372903\pi\) |
−0.992283 | + | 0.123992i | \(0.960430\pi\) | |||||||
\(368\) | 3.14400 | − | 5.44556i | 0.163892 | − | 0.283869i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 10.2756 | 0.534204 | ||||||||
\(371\) | −8.48762 | − | 0.309322i | −0.440655 | − | 0.0160592i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.5822 | − | 25.2571i | −0.755036 | − | 1.30776i | −0.945356 | − | 0.326039i | \(-0.894286\pi\) |
0.190320 | − | 0.981722i | \(-0.439047\pi\) | |||||||
\(374\) | 4.85669 | − | 8.41204i | 0.251134 | − | 0.434976i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.49381 | + | 6.05146i | 0.180180 | + | 0.312080i | ||||
\(377\) | 6.77747 | 0.349058 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −13.5622 | −0.696645 | −0.348322 | − | 0.937375i | \(-0.613249\pi\) | ||||
−0.348322 | + | 0.937375i | \(0.613249\pi\) | |||||||
\(380\) | 1.64400 | + | 2.84748i | 0.0843352 | + | 0.146073i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 8.16071 | − | 14.1348i | 0.417538 | − | 0.723197i | ||||
\(383\) | −1.41783 | − | 2.45575i | −0.0724475 | − | 0.125483i | 0.827526 | − | 0.561428i | \(-0.189748\pi\) |
−0.899973 | + | 0.435945i | \(0.856414\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 6.76833 | + | 12.7762i | 0.344946 | + | 0.651137i | ||||
\(386\) | 14.3214 | 0.728941 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −6.58836 | + | 11.4114i | −0.334474 | + | 0.579325i | ||||
\(389\) | −9.30401 | + | 16.1150i | −0.471732 | + | 0.817064i | −0.999477 | − | 0.0323388i | \(-0.989704\pi\) |
0.527745 | + | 0.849403i | \(0.323038\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −41.3497 | −2.09115 | ||||||||
\(392\) | 3.93199 | − | 5.79133i | 0.198595 | − | 0.292506i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.21201 | − | 2.09926i | −0.0610601 | − | 0.105759i | ||||
\(395\) | 21.1847 | − | 36.6930i | 1.06592 | − | 1.84622i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −10.2880 | − | 17.8193i | −0.516340 | − | 0.894326i | −0.999820 | − | 0.0189712i | \(-0.993961\pi\) |
0.483481 | − | 0.875355i | \(-0.339372\pi\) | |||||||
\(398\) | −6.11126 | −0.306330 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 8.68725 | 0.434362 | ||||||||
\(401\) | −3.37704 | − | 5.84921i | −0.168642 | − | 0.292096i | 0.769301 | − | 0.638887i | \(-0.220605\pi\) |
−0.937942 | + | 0.346791i | \(0.887271\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −9.19344 | + | 15.9235i | −0.457958 | + | 0.793206i | ||||
\(404\) | 2.62729 | + | 4.55059i | 0.130712 | + | 0.226400i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.52840 | − | 5.62755i | 0.175112 | − | 0.279291i | ||||
\(407\) | 4.10260 | 0.203358 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −7.66071 | + | 13.2687i | −0.378798 | + | 0.656097i | −0.990888 | − | 0.134691i | \(-0.956996\pi\) |
0.612090 | + | 0.790788i | \(0.290329\pi\) | |||||||
\(410\) | 7.60507 | − | 13.1724i | 0.375588 | − | 0.650537i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.66621 | 0.0820882 | ||||||||
\(413\) | −18.2694 | − | 0.665809i | −0.898980 | − | 0.0327623i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8.28180 | + | 14.3445i | 0.406538 | + | 0.704144i | ||||
\(416\) | 1.34981 | − | 2.33795i | 0.0661801 | − | 0.114627i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.656376 | + | 1.13688i | 0.0321044 | + | 0.0556064i | ||||
\(419\) | −8.64283 | −0.422230 | −0.211115 | − | 0.977461i | \(-0.567709\pi\) | ||||
−0.211115 | + | 0.977461i | \(0.567709\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −37.1272 | −1.80947 | −0.904735 | − | 0.425975i | \(-0.859931\pi\) | ||||
−0.904735 | + | 0.425975i | \(0.859931\pi\) | |||||||
\(422\) | −5.72253 | − | 9.91171i | −0.278568 | − | 0.482494i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.60507 | + | 2.78007i | −0.0779493 | + | 0.135012i | ||||
\(425\) | −28.5636 | − | 49.4736i | −1.38554 | − | 2.39982i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.05749 | − | 12.8511i | 0.389929 | − | 0.621910i | ||||
\(428\) | −10.7651 | −0.520350 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.0229002 | − | 0.0396643i | 0.00110434 | − | 0.00191278i | ||||
\(431\) | 4.71015 | − | 8.15822i | 0.226880 | − | 0.392967i | −0.730002 | − | 0.683445i | \(-0.760481\pi\) |
0.956882 | + | 0.290478i | \(0.0938142\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.208771 | −0.0100329 | −0.00501645 | − | 0.999987i | \(-0.501597\pi\) | ||||
−0.00501645 | + | 0.999987i | \(0.501597\pi\) | |||||||
\(434\) | 8.43563 | + | 15.9235i | 0.404923 | + | 0.764353i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.0945538 | − | 0.163772i | −0.00452831 | − | 0.00784326i | ||||
\(437\) | 2.79418 | − | 4.83967i | 0.133664 | − | 0.231513i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.98398 | + | 8.63250i | 0.237872 | + | 0.412007i | 0.960104 | − | 0.279645i | \(-0.0902167\pi\) |
−0.722231 | + | 0.691652i | \(0.756883\pi\) | |||||||
\(440\) | 5.46472 | 0.260520 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −17.7527 | −0.844410 | ||||||||
\(443\) | −7.84981 | − | 13.5963i | −0.372956 | − | 0.645979i | 0.617063 | − | 0.786914i | \(-0.288322\pi\) |
−0.990019 | + | 0.140935i | \(0.954989\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −16.4196 | + | 28.4396i | −0.778364 | + | 1.34817i | ||||
\(446\) | 3.61126 | + | 6.25489i | 0.170998 | + | 0.296178i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.23855 | − | 2.33795i | −0.0585160 | − | 0.110458i | ||||
\(449\) | −33.6253 | −1.58688 | −0.793439 | − | 0.608650i | \(-0.791712\pi\) | ||||
−0.793439 | + | 0.608650i | \(0.791712\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.03637 | − | 5.25915i | 0.142977 | − | 0.247644i | ||||
\(452\) | 6.78180 | − | 11.7464i | 0.318989 | − | 0.552505i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 13.6552 | 0.640871 | ||||||||
\(455\) | 14.0371 | − | 22.3881i | 0.658068 | − | 1.04957i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −16.3541 | − | 28.3262i | −0.765015 | − | 1.32504i | −0.940239 | − | 0.340516i | \(-0.889398\pi\) |
0.175224 | − | 0.984529i | \(-0.443935\pi\) | |||||||
\(458\) | 8.68725 | − | 15.0468i | 0.405928 | − | 0.703089i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −11.6316 | − | 20.1466i | −0.542327 | − | 0.939338i | ||||
\(461\) | −4.14331 | −0.192973 | −0.0964865 | − | 0.995334i | \(-0.530760\pi\) | ||||
−0.0964865 | + | 0.995334i | \(0.530760\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.6835 | 0.775349 | 0.387675 | − | 0.921796i | \(-0.373278\pi\) | ||||
0.387675 | + | 0.921796i | \(0.373278\pi\) | |||||||
\(464\) | −1.25526 | − | 2.17417i | −0.0582740 | − | 0.100934i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.62110 | − | 13.2001i | 0.353040 | − | 0.611484i | ||||
\(467\) | −14.9585 | − | 25.9089i | −0.692198 | − | 1.19892i | −0.971116 | − | 0.238608i | \(-0.923309\pi\) |
0.278918 | − | 0.960315i | \(-0.410024\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −25.0247 | − | 0.911998i | −1.15553 | − | 0.0421121i | ||||
\(470\) | 25.8516 | 1.19245 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.45489 | + | 5.98404i | −0.159024 | + | 0.275438i | ||||
\(473\) | 0.00914304 | − | 0.0158362i | 0.000420397 | − | 0.000728149i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 7.72067 | 0.354249 | ||||||||
\(476\) | −9.24219 | + | 14.7407i | −0.423615 | + | 0.675637i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9.47524 | + | 16.4116i | 0.433387 | + | 0.750649i | ||||
\(479\) | −1.47965 | + | 2.56283i | −0.0676068 | + | 0.117098i | −0.897847 | − | 0.440307i | \(-0.854870\pi\) |
0.830241 | + | 0.557405i | \(0.188203\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.74907 | − | 6.49358i | −0.170943 | − | 0.296082i | ||||
\(482\) | 24.5054 | 1.11619 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −8.81818 | −0.400826 | ||||||||
\(485\) | 24.3745 | + | 42.2179i | 1.10679 | + | 1.91701i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −14.0309 | + | 24.3022i | −0.635800 | + | 1.10124i | 0.350546 | + | 0.936546i | \(0.385996\pi\) |
−0.986345 | + | 0.164691i | \(0.947337\pi\) | |||||||
\(488\) | −2.86652 | − | 4.96497i | −0.129761 | − | 0.224753i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −11.2818 | − | 23.3109i | −0.509660 | − | 1.05308i | ||||
\(491\) | 34.1469 | 1.54103 | 0.770513 | − | 0.637424i | \(-0.220000\pi\) | ||||
0.770513 | + | 0.637424i | \(0.220000\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.25457 | + | 14.2973i | −0.371767 | + | 0.643920i | ||||
\(494\) | 1.19963 | − | 2.07782i | 0.0539738 | − | 0.0934854i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.81089 | 0.305818 | ||||||||
\(497\) | −6.76833 | − | 12.7762i | −0.303601 | − | 0.573092i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.14035 | + | 1.97515i | 0.0510493 | + | 0.0884199i | 0.890421 | − | 0.455138i | \(-0.150410\pi\) |
−0.839372 | + | 0.543558i | \(0.817077\pi\) | |||||||
\(500\) | 6.82072 | − | 11.8138i | 0.305032 | − | 0.528331i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 6.06182 | + | 10.4994i | 0.270552 | + | 0.468610i | ||||
\(503\) | −13.9890 | −0.623739 | −0.311869 | − | 0.950125i | \(-0.600955\pi\) | ||||
−0.311869 | + | 0.950125i | \(0.600955\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 19.4400 | 0.865067 | ||||||||
\(506\) | −4.64400 | − | 8.04364i | −0.206451 | − | 0.357583i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.42835 | − | 2.47397i | 0.0633726 | − | 0.109765i | ||||
\(509\) | 12.8090 | + | 22.1859i | 0.567750 | + | 0.983373i | 0.996788 | + | 0.0800859i | \(0.0255195\pi\) |
−0.429038 | + | 0.903287i | \(0.641147\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 31.9010 | + | 1.16260i | 1.41122 | + | 0.0514304i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 4.10439 | − | 7.10900i | 0.181037 | − | 0.313565i | ||||
\(515\) | 3.08217 | − | 5.33848i | 0.135817 | − | 0.235242i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 10.3214 | 0.453935 | ||||||||
\(518\) | −7.34362 | − | 0.267630i | −0.322660 | − | 0.0117590i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.99381 | − | 8.64953i | −0.218993 | − | 0.379307i | ||||
\(521\) | 20.9127 | − | 36.2219i | 0.916203 | − | 1.58691i | 0.111073 | − | 0.993812i | \(-0.464571\pi\) |
0.805130 | − | 0.593099i | \(-0.202096\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.88323 | + | 13.6542i | 0.344710 | + | 0.597055i | 0.985301 | − | 0.170827i | \(-0.0546440\pi\) |
−0.640591 | + | 0.767882i | \(0.721311\pi\) | |||||||
\(524\) | −0.155687 | −0.00680122 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.34617 | −0.233104 | ||||||||
\(527\) | −22.3942 | − | 38.7878i | −0.975505 | − | 1.68962i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.26942 | + | 14.3231i | −0.359540 | + | 0.622742i | ||||
\(530\) | 5.93818 | + | 10.2852i | 0.257938 | + | 0.446762i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.10074 | − | 2.07782i | −0.0477233 | − | 0.0900848i | ||||
\(533\) | −11.0989 | −0.480746 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −19.9134 | + | 34.4911i | −0.860932 | + | 1.49118i | ||||
\(536\) | −4.73236 | + | 8.19669i | −0.204407 | + | 0.354043i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −18.4844 | −0.796918 | ||||||||
\(539\) | −4.50433 | − | 9.30701i | −0.194015 | − | 0.400881i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −21.0963 | − | 36.5399i | −0.907002 | − | 1.57097i | −0.818207 | − | 0.574924i | \(-0.805031\pi\) |
−0.0887957 | − | 0.996050i | \(-0.528302\pi\) | |||||||
\(542\) | 3.67742 | − | 6.36947i | 0.157959 | − | 0.273592i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.28799 | + | 5.69497i | 0.140971 | + | 0.244170i | ||||
\(545\) | −0.699628 | −0.0299688 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −40.6712 | −1.73897 | −0.869486 | − | 0.493957i | \(-0.835550\pi\) | ||||
−0.869486 | + | 0.493957i | \(0.835550\pi\) | |||||||
\(548\) | −1.70582 | − | 2.95456i | −0.0728689 | − | 0.126213i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 6.41597 | − | 11.1128i | 0.273578 | − | 0.473851i | ||||
\(551\) | −1.11559 | − | 1.93227i | −0.0475259 | − | 0.0823173i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −16.0956 | + | 25.6714i | −0.684457 | + | 1.09166i | ||||
\(554\) | 9.09888 | 0.386575 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −6.75526 | + | 11.7005i | −0.286487 | + | 0.496210i | ||||
\(557\) | −6.68794 | + | 11.5838i | −0.283377 | + | 0.490823i | −0.972214 | − | 0.234093i | \(-0.924788\pi\) |
0.688837 | + | 0.724916i | \(0.258121\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.0334206 | −0.00141354 | ||||||||
\(560\) | −9.78180 | − | 0.356487i | −0.413357 | − | 0.0150643i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.00433 | + | 10.3998i | 0.253277 | + | 0.438689i | ||||
\(563\) | −16.3807 | + | 28.3722i | −0.690364 | + | 1.19574i | 0.281355 | + | 0.959604i | \(0.409216\pi\) |
−0.971719 | + | 0.236141i | \(0.924117\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −25.0901 | − | 43.4574i | −1.05555 | − | 1.82827i | ||||
\(566\) | −9.84294 | −0.413729 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.46472 | −0.229295 | ||||||||
\(569\) | −8.36398 | − | 14.4868i | −0.350636 | − | 0.607320i | 0.635725 | − | 0.771916i | \(-0.280701\pi\) |
−0.986361 | + | 0.164596i | \(0.947368\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 13.7367 | − | 23.7926i | 0.574863 | − | 0.995691i | −0.421194 | − | 0.906971i | \(-0.638389\pi\) |
0.996057 | − | 0.0887207i | \(-0.0282778\pi\) | |||||||
\(572\) | −1.99381 | − | 3.45338i | −0.0833654 | − | 0.144393i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5.77816 | + | 9.21576i | −0.241176 | + | 0.384659i | ||||
\(575\) | −54.6253 | −2.27803 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.41714 | − | 2.45455i | 0.0589962 | − | 0.102184i | −0.835019 | − | 0.550221i | \(-0.814543\pi\) |
0.894015 | + | 0.448037i | \(0.147877\pi\) | |||||||
\(578\) | 13.1218 | − | 22.7276i | 0.545794 | − | 0.945343i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −9.28799 | −0.385663 | ||||||||
\(581\) | −5.54511 | − | 10.4672i | −0.230050 | − | 0.434253i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.37085 | + | 4.10644i | 0.0981908 | + | 0.170071i | ||||
\(584\) | 6.03273 | − | 10.4490i | 0.249636 | − | 0.432383i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 10.7101 | + | 18.5505i | 0.442432 | + | 0.766315i | ||||
\(587\) | −4.69591 | −0.193821 | −0.0969105 | − | 0.995293i | \(-0.530896\pi\) | ||||
−0.0969105 | + | 0.995293i | \(0.530896\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 6.05308 | 0.249413 | ||||||||
\(590\) | 12.7818 | + | 22.1387i | 0.526218 | + | 0.911437i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.38874 | + | 2.40536i | −0.0570767 | + | 0.0988597i | ||||
\(593\) | −0.636024 | − | 1.10163i | −0.0261184 | − | 0.0452383i | 0.852671 | − | 0.522449i | \(-0.174981\pi\) |
−0.878789 | + | 0.477210i | \(0.841648\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 30.1323 | + | 56.8792i | 1.23530 | + | 2.33182i | ||||
\(596\) | −0.333792 | −0.0136727 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −8.48762 | + | 14.7010i | −0.347085 | + | 0.601168i | ||||
\(599\) | 21.9258 | − | 37.9766i | 0.895864 | − | 1.55168i | 0.0631320 | − | 0.998005i | \(-0.479891\pi\) |
0.832732 | − | 0.553676i | \(-0.186776\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.4327 | 0.547930 | 0.273965 | − | 0.961740i | \(-0.411665\pi\) | ||||
0.273965 | + | 0.961740i | \(0.411665\pi\) | |||||||
\(602\) | −0.0173990 | + | 0.0277502i | −0.000709131 | + | 0.00113101i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 9.95489 | + | 17.2424i | 0.405059 | + | 0.701582i | ||||
\(605\) | −16.3120 | + | 28.2532i | −0.663177 | + | 1.14866i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.29232 | + | 3.97042i | 0.0930425 | + | 0.161154i | 0.908790 | − | 0.417254i | \(-0.137007\pi\) |
−0.815747 | + | 0.578408i | \(0.803674\pi\) | |||||||
\(608\) | −0.888736 | −0.0360430 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −21.2101 | −0.858774 | ||||||||
\(611\) | −9.43199 | − | 16.3367i | −0.381577 | − | 0.660911i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −11.0538 | + | 19.1457i | −0.446458 | + | 0.773287i | −0.998152 | − | 0.0607587i | \(-0.980648\pi\) |
0.551695 | + | 0.834046i | \(0.313981\pi\) | |||||||
\(614\) | −2.84362 | − | 4.92530i | −0.114759 | − | 0.198769i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.90545 | − | 0.142330i | −0.157355 | − | 0.00573463i | ||||
\(617\) | 12.0087 | 0.483450 | 0.241725 | − | 0.970345i | \(-0.422287\pi\) | ||||
0.241725 | + | 0.970345i | \(0.422287\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.78180 | − | 15.2105i | 0.352970 | − | 0.611363i | −0.633798 | − | 0.773499i | \(-0.718505\pi\) |
0.986768 | + | 0.162136i | \(0.0518383\pi\) | |||||||
\(620\) | 12.5989 | − | 21.8219i | 0.505983 | − | 0.876389i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −11.7207 | −0.469956 | ||||||||
\(623\) | 12.4752 | − | 19.8971i | 0.499810 | − | 0.797162i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.51602 | − | 6.08993i | −0.140641 | − | 0.243597i | ||||
\(626\) | −13.3869 | + | 23.1868i | −0.535047 | + | 0.926729i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.48143 | + | 6.03001i | 0.138924 | + | 0.240624i | ||||
\(629\) | 18.2646 | 0.728258 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −44.9381 | −1.78896 | −0.894479 | − | 0.447110i | \(-0.852453\pi\) | ||||
−0.894479 | + | 0.447110i | \(0.852453\pi\) | |||||||
\(632\) | 5.72617 | + | 9.91802i | 0.227775 | + | 0.394518i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.951246 | + | 1.64761i | −0.0377788 | + | 0.0654348i | ||||
\(635\) | −5.28435 | − | 9.15276i | −0.209703 | − | 0.363216i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −10.6149 | + | 15.6344i | −0.420578 | + | 0.619459i | ||||
\(638\) | −3.70829 | −0.146813 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.84981 | + | 3.20397i | −0.0731203 | + | 0.126648i | ||||
\(641\) | −14.4920 | + | 25.1008i | −0.572398 | + | 0.991422i | 0.423921 | + | 0.905699i | \(0.360653\pi\) |
−0.996319 | + | 0.0857228i | \(0.972680\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12.0617 | −0.475669 | −0.237834 | − | 0.971306i | \(-0.576438\pi\) | ||||
−0.237834 | + | 0.971306i | \(0.576438\pi\) | |||||||
\(644\) | 7.78799 | + | 14.7010i | 0.306890 | + | 0.579300i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.92216 | + | 5.06132i | 0.114971 | + | 0.199135i | ||||
\(647\) | −18.8825 | + | 32.7055i | −0.742349 | + | 1.28579i | 0.209073 | + | 0.977900i | \(0.432955\pi\) |
−0.951423 | + | 0.307887i | \(0.900378\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.10322 | + | 8.83903i | 0.200319 | + | 0.346962i | ||||
\(650\) | −23.4523 | −0.919876 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −8.07413 | −0.316207 | ||||||||
\(653\) | 18.7040 | + | 32.3962i | 0.731942 | + | 1.26776i | 0.956052 | + | 0.293198i | \(0.0947194\pi\) |
−0.224109 | + | 0.974564i | \(0.571947\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.287992 | + | 0.498817i | −0.0112528 | + | 0.0194904i | ||||
\(656\) | 2.05563 | + | 3.56046i | 0.0802589 | + | 0.139013i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −18.4752 | − | 0.673310i | −0.720240 | − | 0.0262484i | ||||
\(659\) | 29.8713 | 1.16362 | 0.581810 | − | 0.813325i | \(-0.302345\pi\) | ||||
0.581810 | + | 0.813325i | \(0.302345\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.80401 | + | 4.85669i | −0.109063 | + | 0.188904i | −0.915391 | − | 0.402566i | \(-0.868119\pi\) |
0.806328 | + | 0.591469i | \(0.201452\pi\) | |||||||
\(662\) | 2.78366 | − | 4.82144i | 0.108190 | − | 0.187391i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.47710 | −0.173745 | ||||||||
\(665\) | −8.69344 | − | 0.316823i | −0.337117 | − | 0.0122859i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 7.89307 | + | 13.6712i | 0.305621 | + | 0.529351i | ||||
\(668\) | −9.74288 | + | 16.8752i | −0.376963 | + | 0.652920i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 17.5080 | + | 30.3247i | 0.676392 | + | 1.17155i | ||||
\(671\) | −8.46829 | −0.326915 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.44506 | 0.364080 | 0.182040 | − | 0.983291i | \(-0.441730\pi\) | ||||
0.182040 | + | 0.983291i | \(0.441730\pi\) | |||||||
\(674\) | 16.8869 | + | 29.2489i | 0.650458 | + | 1.12663i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.85600 | − | 4.94674i | 0.109846 | − | 0.190259i | ||||
\(677\) | 5.53087 | + | 9.57975i | 0.212569 | + | 0.368180i | 0.952518 | − | 0.304483i | \(-0.0984837\pi\) |
−0.739949 | + | 0.672663i | \(0.765150\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −16.3200 | − | 30.8065i | −0.626305 | − | 1.18224i | ||||
\(680\) | 24.3287 | 0.932963 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.03018 | − | 8.71253i | 0.192616 | − | 0.333620i | ||||
\(683\) | 4.41961 | − | 7.65499i | 0.169112 | − | 0.292910i | −0.768996 | − | 0.639253i | \(-0.779243\pi\) |
0.938108 | + | 0.346343i | \(0.112577\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −12.6218 | −0.482254 | ||||||||
\(686\) | 7.45558 | + | 16.9533i | 0.284655 | + | 0.647280i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.00618986 | + | 0.0107211i | 0.000235986 | + | 0.000408740i | ||||
\(689\) | 4.33310 | − | 7.50516i | 0.165078 | − | 0.285924i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −12.5309 | − | 21.7041i | −0.476697 | − | 0.825663i | 0.522947 | − | 0.852365i | \(-0.324833\pi\) |
−0.999643 | + | 0.0267023i | \(0.991499\pi\) | |||||||
\(692\) | −22.5636 | −0.857740 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −30.4065 | −1.15422 | ||||||||
\(695\) | 24.9920 | + | 43.2873i | 0.947999 | + | 1.64198i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 13.5178 | − | 23.4135i | 0.512023 | − | 0.886850i | ||||
\(698\) | 6.29782 | + | 10.9082i | 0.238376 | + | 0.412880i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −12.2095 | + | 19.4732i | −0.461474 | + | 0.736019i | ||||
\(701\) | 43.4858 | 1.64243 | 0.821217 | − | 0.570616i | \(-0.193295\pi\) | ||||
0.821217 | + | 0.570616i | \(0.193295\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.23422 | + | 2.13773i | −0.0465495 | + | 0.0806260i | ||||
\(704\) | −0.738550 | + | 1.27921i | −0.0278351 | + | 0.0482119i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −7.53156 | −0.283454 | ||||||||
\(707\) | −13.8931 | − | 0.506318i | −0.522503 | − | 0.0190420i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.3702 | + | 19.6937i | 0.427016 | + | 0.739613i | 0.996606 | − | 0.0823158i | \(-0.0262316\pi\) |
−0.569591 | + | 0.821928i | \(0.692898\pi\) | |||||||
\(710\) | −10.1087 | + | 17.5088i | −0.379373 | + | 0.657094i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.43818 | − | 7.68715i | −0.166328 | − | 0.288088i | ||||
\(713\) | −42.8268 | −1.60388 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −14.7527 | −0.551720 | ||||||||
\(716\) | −0.166896 | − | 0.289073i | −0.00623721 | − | 0.0108032i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.44801 | + | 5.97213i | −0.128679 | + | 0.222878i | ||||
\(719\) | −6.06182 | − | 10.4994i | −0.226068 | − | 0.391561i | 0.730571 | − | 0.682836i | \(-0.239254\pi\) |
−0.956639 | + | 0.291275i | \(0.905920\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.34176 | + | 3.73495i | −0.0872119 | + | 0.139097i | ||||
\(722\) | 18.2101 | 0.677712 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −11.6211 | + | 20.1283i | −0.431895 | + | 0.748063i | ||||
\(725\) | −10.9048 | + | 18.8876i | −0.404993 | + | 0.701468i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −46.1817 | −1.71278 | −0.856392 | − | 0.516327i | \(-0.827299\pi\) | ||||
−0.856392 | + | 0.516327i | \(0.827299\pi\) | |||||||
\(728\) | 3.34362 | + | 6.31159i | 0.123923 | + | 0.233923i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −22.3189 | − | 38.6574i | −0.826058 | − | 1.43077i | ||||
\(731\) | 0.0407044 | − | 0.0705021i | 0.00150551 | − | 0.00260761i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 18.0149 | + | 31.2026i | 0.665394 | + | 1.15250i | 0.979178 | + | 0.203002i | \(0.0650696\pi\) |
−0.313785 | + | 0.949494i | \(0.601597\pi\) | |||||||
\(734\) | −23.1236 | −0.853509 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.28799 | 0.231778 | ||||||||
\(737\) | 6.99017 | + | 12.1073i | 0.257486 | + | 0.445979i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 23.2119 | − | 40.2042i | 0.853865 | − | 1.47894i | −0.0238296 | − | 0.999716i | \(-0.507586\pi\) |
0.877694 | − | 0.479221i | \(-0.159081\pi\) | |||||||
\(740\) | 5.13781 | + | 8.89894i | 0.188870 | + | 0.327132i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.97593 | − | 7.50516i | −0.145961 | − | 0.275523i | ||||
\(743\) | 1.19777 | 0.0439419 | 0.0219709 | − | 0.999759i | \(-0.493006\pi\) | ||||
0.0219709 | + | 0.999759i | \(0.493006\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.617454 | + | 1.06946i | −0.0226218 | + | 0.0391820i | ||||
\(746\) | 14.5822 | − | 25.2571i | 0.533891 | − | 0.924727i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 9.71339 | 0.355157 | ||||||||
\(749\) | 15.1298 | − | 24.1309i | 0.552829 | − | 0.881724i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24.0600 | − | 41.6731i | −0.877961 | − | 1.52067i | −0.853575 | − | 0.520970i | \(-0.825570\pi\) |
−0.0243853 | − | 0.999703i | \(-0.507763\pi\) | |||||||
\(752\) | −3.49381 | + | 6.05146i | −0.127406 | + | 0.220674i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3.38874 | + | 5.86946i | 0.123410 | + | 0.213753i | ||||
\(755\) | 73.6588 | 2.68072 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 49.6006 | 1.80276 | 0.901382 | − | 0.433025i | \(-0.142554\pi\) | ||||
0.901382 | + | 0.433025i | \(0.142554\pi\) | |||||||
\(758\) | −6.78111 | − | 11.7452i | −0.246301 | − | 0.426606i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.64400 | + | 2.84748i | −0.0596340 | + | 0.103289i | ||||
\(761\) | −18.7701 | − | 32.5108i | −0.680416 | − | 1.17852i | −0.974854 | − | 0.222845i | \(-0.928466\pi\) |
0.294438 | − | 0.955671i | \(-0.404868\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.500000 | + | 0.0182220i | 0.0181012 | + | 0.000659679i | ||||
\(764\) | 16.3214 | 0.590488 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1.41783 | − | 2.45575i | 0.0512281 | − | 0.0887297i | ||||
\(767\) | 9.32691 | − | 16.1547i | 0.336775 | − | 0.583312i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 26.9184 | 0.970704 | 0.485352 | − | 0.874319i | \(-0.338692\pi\) | ||||
0.485352 | + | 0.874319i | \(0.338692\pi\) | |||||||
\(770\) | −7.68037 | + | 12.2497i | −0.276781 | + | 0.441447i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 7.16071 | + | 12.4027i | 0.257719 | + | 0.446383i | ||||
\(773\) | −25.1130 | + | 43.4971i | −0.903254 | + | 1.56448i | −0.0800089 | + | 0.996794i | \(0.525495\pi\) |
−0.823245 | + | 0.567687i | \(0.807838\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −29.5840 | − | 51.2409i | −1.06269 | − | 1.84063i | ||||
\(776\) | −13.1767 | −0.473017 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −18.6080 | −0.667130 | ||||||||
\(779\) | 1.82691 | + | 3.16431i | 0.0654560 | + | 0.113373i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.03597 | + | 6.99050i | −0.144418 | + | 0.250140i | ||||
\(782\) | −20.6749 | − | 35.8099i | −0.739332 | − | 1.28056i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.98143 | + | 0.509538i | 0.249337 | + | 0.0181978i | ||||
\(785\) | 25.7600 | 0.919414 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.829462 | − | 1.43667i | 0.0295671 | − | 0.0512118i | −0.850863 | − | 0.525387i | \(-0.823920\pi\) |
0.880430 | + | 0.474176i | \(0.157254\pi\) | |||||||
\(788\) | 1.21201 | − | 2.09926i | 0.0431760 | − | 0.0747830i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 42.3694 | 1.50744 | ||||||||
\(791\) | 16.7992 | + | 31.7110i | 0.597311 | + | 1.12751i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 7.73855 | + | 13.4036i | 0.274804 | + | 0.475974i | ||||
\(794\) | 10.2880 | − | 17.8193i | 0.365107 | − | 0.632384i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −3.05563 | − | 5.29251i | −0.108304 | − | 0.187588i | ||||
\(797\) | −30.7403 | −1.08888 | −0.544439 | − | 0.838800i | \(-0.683258\pi\) | ||||
−0.544439 | + | 0.838800i | \(0.683258\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 45.9505 | 1.62561 | ||||||||
\(800\) | 4.34362 | + | 7.52338i | 0.153570 | + | 0.265992i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 3.37704 | − | 5.84921i | 0.119248 | − | 0.206543i | ||||
\(803\) | −8.91095 | − | 15.4342i | −0.314461 | − | 0.544662i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 61.5079 | + | 2.24159i | 2.16787 | + | 0.0790056i | ||||
\(806\) | −18.3869 | −0.647650 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2.62729 | + | 4.55059i | −0.0924276 | + | 0.160089i | ||||
\(809\) | 1.44251 | − | 2.49850i | 0.0507159 | − | 0.0878425i | −0.839553 | − | 0.543278i | \(-0.817183\pi\) |
0.890269 | + | 0.455435i | \(0.150516\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 28.5461 | 1.00239 | 0.501195 | − | 0.865334i | \(-0.332894\pi\) | ||||
0.501195 | + | 0.865334i | \(0.332894\pi\) | |||||||
\(812\) | 6.63781 | + | 0.241908i | 0.232941 | + | 0.00848930i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.05130 | + | 3.55296i | 0.0718981 | + | 0.124531i | ||||
\(815\) | −14.9356 | + | 25.8693i | −0.523172 | + | 0.906161i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.00550115 | + | 0.00952827i | 0.000192461 | + | 0.000333352i | ||||
\(818\) | −15.3214 | −0.535701 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 15.2101 | 0.531161 | ||||||||
\(821\) | 3.98329 | + | 6.89926i | 0.139018 | + | 0.240786i | 0.927125 | − | 0.374752i | \(-0.122272\pi\) |
−0.788107 | + | 0.615538i | \(0.788939\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.2731 | + | 35.1140i | −0.706675 | + | 1.22400i | 0.259409 | + | 0.965768i | \(0.416472\pi\) |
−0.966084 | + | 0.258229i | \(0.916861\pi\) | |||||||
\(824\) | 0.833104 | + | 1.44298i | 0.0290225 | + | 0.0502685i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −8.55810 | − | 16.1547i | −0.297775 | − | 0.562094i | ||||
\(827\) | −1.22115 | −0.0424636 | −0.0212318 | − | 0.999775i | \(-0.506759\pi\) | ||||
−0.0212318 | + | 0.999775i | \(0.506759\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −7.07530 | + | 12.2548i | −0.245735 | + | 0.425626i | −0.962338 | − | 0.271856i | \(-0.912363\pi\) |
0.716603 | + | 0.697481i | \(0.245696\pi\) | |||||||
\(830\) | −8.28180 | + | 14.3445i | −0.287466 | + | 0.497905i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.69963 | 0.0935928 | ||||||||
\(833\) | −20.0531 | − | 41.4344i | −0.694798 | − | 1.43562i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 36.0450 | + | 62.4318i | 1.24739 | + | 2.16054i | ||||
\(836\) | −0.656376 | + | 1.13688i | −0.0227012 | + | 0.0393197i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −4.32141 | − | 7.48491i | −0.149281 | − | 0.258562i | ||||
\(839\) | 2.39197 | 0.0825801 | 0.0412900 | − | 0.999147i | \(-0.486853\pi\) | ||||
0.0412900 | + | 0.999147i | \(0.486853\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −22.6973 | −0.782665 | ||||||||
\(842\) | −18.5636 | − | 32.1531i | −0.639744 | − | 1.10807i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 5.72253 | − | 9.91171i | 0.196978 | − | 0.341175i | ||||
\(845\) | −10.5662 | − | 18.3011i | −0.363487 | − | 0.629577i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 12.3935 | − | 19.7667i | 0.425845 | − | 0.679193i | ||||
\(848\) | −3.21015 | −0.110237 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 28.5636 | − | 49.4736i | 0.979724 | − | 1.69693i | ||||
\(851\) | 8.73236 | − | 15.1249i | 0.299341 | − | 0.518475i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 16.6800 | 0.571111 | 0.285556 | − | 0.958362i | \(-0.407822\pi\) | ||||
0.285556 | + | 0.958362i | \(0.407822\pi\) | |||||||
\(854\) | 15.1582 | + | 0.552423i | 0.518702 | + | 0.0189035i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −5.38255 | − | 9.32284i | −0.183972 | − | 0.318648i | ||||
\(857\) | −6.92580 | + | 11.9958i | −0.236581 | + | 0.409770i | −0.959731 | − | 0.280921i | \(-0.909360\pi\) |
0.723150 | + | 0.690691i | \(0.242693\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −24.2472 | − | 41.9974i | −0.827304 | − | 1.43293i | −0.900146 | − | 0.435589i | \(-0.856540\pi\) |
0.0728414 | − | 0.997344i | \(-0.476793\pi\) | |||||||
\(860\) | 0.0458003 | 0.00156178 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 9.42030 | 0.320857 | ||||||||
\(863\) | −2.96541 | − | 5.13624i | −0.100944 | − | 0.174840i | 0.811130 | − | 0.584866i | \(-0.198853\pi\) |
−0.912074 | + | 0.410026i | \(0.865520\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −41.7385 | + | 72.2932i | −1.41915 | + | 2.45804i | ||||
\(866\) | −0.104386 | − | 0.180801i | −0.00354717 | − | 0.00614387i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −9.57234 | + | 15.2672i | −0.324906 | + | 0.518203i | ||||
\(869\) | 16.9163 | 0.573844 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 12.7756 | − | 22.1280i | 0.432885 | − | 0.749779i | ||||
\(872\) | 0.0945538 | − | 0.163772i | 0.00320200 | − | 0.00554602i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 5.58836 | 0.189029 | ||||||||
\(875\) | 16.8956 | + | 31.8930i | 0.571176 | + | 1.07818i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.96472 | − | 3.40300i | −0.0663439 | − | 0.114911i | 0.830945 | − | 0.556354i | \(-0.187800\pi\) |
−0.897289 | + | 0.441443i | \(0.854467\pi\) | |||||||
\(878\) | −4.98398 | + | 8.63250i | −0.168201 | + | 0.291333i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.73236 | + | 4.73259i | 0.0921078 | + | 0.159535i | ||||
\(881\) | −37.6552 | −1.26864 | −0.634318 | − | 0.773072i | \(-0.718719\pi\) | ||||
−0.634318 | + | 0.773072i | \(0.718719\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −53.2334 | −1.79145 | −0.895723 | − | 0.444613i | \(-0.853341\pi\) | ||||
−0.895723 | + | 0.444613i | \(0.853341\pi\) | |||||||
\(884\) | −8.87636 | − | 15.3743i | −0.298544 | − | 0.517094i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 7.84981 | − | 13.5963i | 0.263720 | − | 0.456776i | ||||
\(887\) | −18.4938 | − | 32.0322i | −0.620961 | − | 1.07554i | −0.989307 | − | 0.145848i | \(-0.953409\pi\) |
0.368346 | − | 0.929689i | \(-0.379924\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 3.53816 | + | 6.67879i | 0.118666 | + | 0.224000i | ||||
\(890\) | −32.8392 | −1.10077 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −3.61126 | + | 6.25489i | −0.120914 | + | 0.209429i | ||||
\(893\) | −3.10507 | + | 5.37815i | −0.103907 | + | 0.179973i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.23491 | −0.0412784 | ||||||||
\(896\) | 1.40545 | − | 2.24159i | 0.0469527 | − | 0.0748862i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −16.8127 | − | 29.1204i | −0.561046 | − | 0.971761i | ||||
\(899\) | −8.54944 | + | 14.8081i | −0.285140 | + | 0.493877i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 10.5549 | + | 18.2817i | 0.351636 | + | 0.609052i | ||||
\(902\) | 6.07275 | 0.202200 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 13.5636 | 0.451119 | ||||||||
\(905\) | 42.9937 | + | 74.4673i | 1.42916 | + | 2.47538i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 19.5080 | − | 33.7888i | 0.647752 | − | 1.12194i | −0.335907 | − | 0.941895i | \(-0.609043\pi\) |
0.983659 | − | 0.180044i | \(-0.0576239\pi\) | |||||||
\(908\) | 6.82760 | + | 11.8258i | 0.226582 | + | 0.392451i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 26.4072 | + | 0.962383i | 0.875391 | + | 0.0319027i | ||||
\(911\) | −25.6181 | −0.848764 | −0.424382 | − | 0.905483i | \(-0.639509\pi\) | ||||
−0.424382 | + | 0.905483i | \(0.639509\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.30656 | + | 5.72713i | −0.109431 | + | 0.189540i | ||||
\(914\) | 16.3541 | − | 28.3262i | 0.540947 | − | 0.936948i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 17.3745 | 0.574070 | ||||||||
\(917\) | 0.218810 | − | 0.348986i | 0.00722574 | − | 0.0115245i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.3367 | + | 17.9038i | 0.340978 | + | 0.590591i | 0.984615 | − | 0.174740i | \(-0.0559086\pi\) |
−0.643637 | + | 0.765331i | \(0.722575\pi\) | |||||||
\(920\) | 11.6316 | − | 20.1466i | 0.383483 | − | 0.664212i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −2.07165 | − | 3.58821i | −0.0682263 | − | 0.118171i | ||||
\(923\) | 14.7527 | 0.485591 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 24.1286 | 0.793343 | ||||||||
\(926\) | 8.34176 | + | 14.4484i | 0.274127 | + | 0.474803i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.25526 | − | 2.17417i | 0.0412059 | − | 0.0713708i | ||||
\(929\) | −1.87017 | − | 3.23922i | −0.0613582 | − | 0.106275i | 0.833715 | − | 0.552196i | \(-0.186210\pi\) |
−0.895073 | + | 0.445920i | \(0.852877\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.20465 | + | 0.452845i | 0.203349 | + | 0.0148414i | ||||
\(932\) | 15.2422 | 0.499275 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 14.9585 | − | 25.9089i | 0.489458 | − | 0.847766i | ||||
\(935\) | 17.9680 | − | 31.1214i | 0.587615 | − | 1.01778i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −27.1345 | −0.886445 | −0.443223 | − | 0.896412i | \(-0.646165\pi\) | ||||
−0.443223 | + | 0.896412i | \(0.646165\pi\) | |||||||
\(938\) | −11.7225 | − | 22.1280i | −0.382754 | − | 0.722505i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 12.9258 | + | 22.3881i | 0.421593 | + | 0.730221i | ||||
\(941\) | 3.16435 | − | 5.48081i | 0.103155 | − | 0.178669i | −0.809828 | − | 0.586667i | \(-0.800440\pi\) |
0.912983 | + | 0.407998i | \(0.133773\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −12.9258 | − | 22.3881i | −0.420922 | − | 0.729058i | ||||
\(944\) | −6.90978 | −0.224894 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.0182861 | 0.000594531 | ||||||||
\(947\) | 15.6396 | + | 27.0886i | 0.508218 | + | 0.880260i | 0.999955 | + | 0.00951587i | \(0.00302904\pi\) |
−0.491736 | + | 0.870744i | \(0.663638\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −16.2861 | + | 28.2084i | −0.528670 | + | 0.915684i | ||||
\(950\) | 3.86033 | + | 6.68630i | 0.125246 | + | 0.216932i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −17.3869 | − | 0.633646i | −0.563512 | − | 0.0205366i | ||||
\(953\) | −4.28937 | −0.138946 | −0.0694732 | − | 0.997584i | \(-0.522132\pi\) | ||||
−0.0694732 | + | 0.997584i | \(0.522132\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 30.1916 | − | 52.2933i | 0.976977 | − | 1.69217i | ||||
\(956\) | −9.47524 | + | 16.4116i | −0.306451 | + | 0.530789i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −2.95930 | −0.0956105 | ||||||||
\(959\) | 9.02035 | + | 0.328737i | 0.291282 | + | 0.0106155i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −7.69413 | − | 13.3266i | −0.248198 | − | 0.429891i | ||||
\(962\) | 3.74907 | − | 6.49358i | 0.120875 | − | 0.209361i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 12.2527 | + | 21.2223i | 0.394633 | + | 0.683525i | ||||
\(965\) | 52.9839 | 1.70561 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 15.1840 | 0.488285 | 0.244142 | − | 0.969739i | \(-0.421494\pi\) | ||||
0.244142 | + | 0.969739i | \(0.421494\pi\) | |||||||
\(968\) | −4.40909 | − | 7.63676i | −0.141713 | − | 0.245455i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −24.3745 | + | 42.2179i | −0.782618 | + | 1.35553i | ||||
\(971\) | −1.62364 | − | 2.81223i | −0.0521052 | − | 0.0902489i | 0.838796 | − | 0.544445i | \(-0.183260\pi\) |
−0.890902 | + | 0.454196i | \(0.849926\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −16.7335 | − | 31.5869i | −0.536450 | − | 1.01263i | ||||
\(974\) | −28.0617 | −0.899156 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.86652 | − | 4.96497i | 0.0917552 | − | 0.158925i | ||||
\(977\) | 7.77197 | − | 13.4614i | 0.248647 | − | 0.430670i | −0.714503 | − | 0.699632i | \(-0.753347\pi\) |
0.963151 | + | 0.268962i | \(0.0866806\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −13.1113 | −0.419038 | ||||||||
\(980\) | 14.5469 | − | 21.4258i | 0.464683 | − | 0.684421i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 17.0734 | + | 29.5721i | 0.544835 | + | 0.943682i | ||||
\(983\) | 6.19158 | − | 10.7241i | 0.197481 | − | 0.342047i | −0.750230 | − | 0.661177i | \(-0.770057\pi\) |
0.947711 | + | 0.319130i | \(0.103391\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.48398 | − | 7.76648i | −0.142871 | − | 0.247461i | ||||
\(986\) | −16.5091 | −0.525758 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.39926 | 0.0763305 | ||||||||
\(989\) | −0.0389218 | − | 0.0674145i | −0.00123764 | − | 0.00214366i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.32760 | + | 5.76358i | −0.105705 | + | 0.183086i | −0.914026 | − | 0.405656i | \(-0.867043\pi\) |
0.808321 | + | 0.588742i | \(0.200377\pi\) | |||||||
\(992\) | 3.40545 | + | 5.89841i | 0.108123 | + | 0.187275i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 7.68037 | − | 12.2497i | 0.243607 | − | 0.388536i | ||||
\(995\) | −22.6094 | −0.716766 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.40104 | + | 4.15872i | −0.0760417 | + | 0.131708i | −0.901539 | − | 0.432698i | \(-0.857562\pi\) |
0.825497 | + | 0.564406i | \(0.190895\pi\) | |||||||
\(998\) | −1.14035 | + | 1.97515i | −0.0360973 | + | 0.0625223i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))