Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [361,2,Mod(68,361)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(361, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("361.68");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 361 = 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 361.c (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: | \(2.88259951297\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 292.2 | ||
Root | \(-0.173648 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.292 |
Dual form | 361.2.c.i.68.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.673648 | + | 1.16679i | 0.476341 | + | 0.825047i | 0.999633 | − | 0.0271067i | \(-0.00862938\pi\) |
−0.523291 | + | 0.852154i | \(0.675296\pi\) | |||||||
\(3\) | 1.43969 | + | 2.49362i | 0.831207 | + | 1.43969i | 0.897082 | + | 0.441865i | \(0.145683\pi\) |
−0.0658748 | + | 0.997828i | \(0.520984\pi\) | |||||||
\(4\) | 0.0923963 | − | 0.160035i | 0.0461981 | − | 0.0800175i | ||||
\(5\) | −0.439693 | − | 0.761570i | −0.196637 | − | 0.340584i | 0.750799 | − | 0.660530i | \(-0.229669\pi\) |
−0.947436 | + | 0.319946i | \(0.896335\pi\) | |||||||
\(6\) | −1.93969 | + | 3.35965i | −0.791876 | + | 1.37157i | ||||
\(7\) | 0.347296 | 0.131266 | 0.0656328 | − | 0.997844i | \(-0.479093\pi\) | ||||
0.0656328 | + | 0.997844i | \(0.479093\pi\) | |||||||
\(8\) | 2.94356 | 1.04071 | ||||||||
\(9\) | −2.64543 | + | 4.58202i | −0.881810 | + | 1.52734i | ||||
\(10\) | 0.592396 | − | 1.02606i | 0.187332 | − | 0.324469i | ||||
\(11\) | −2.22668 | −0.671370 | −0.335685 | − | 0.941974i | \(-0.608968\pi\) | ||||
−0.335685 | + | 0.941974i | \(0.608968\pi\) | |||||||
\(12\) | 0.532089 | 0.153601 | ||||||||
\(13\) | −1.28699 | + | 2.22913i | −0.356947 | + | 0.618250i | −0.987449 | − | 0.157938i | \(-0.949515\pi\) |
0.630503 | + | 0.776187i | \(0.282849\pi\) | |||||||
\(14\) | 0.233956 | + | 0.405223i | 0.0625273 | + | 0.108300i | ||||
\(15\) | 1.26604 | − | 2.19285i | 0.326891 | − | 0.566192i | ||||
\(16\) | 1.79813 | + | 3.11446i | 0.449533 | + | 0.778615i | ||||
\(17\) | −0.233956 | − | 0.405223i | −0.0567426 | − | 0.0982810i | 0.836259 | − | 0.548335i | \(-0.184738\pi\) |
−0.893001 | + | 0.450054i | \(0.851405\pi\) | |||||||
\(18\) | −7.12836 | −1.68017 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −0.162504 | −0.0363370 | ||||||||
\(21\) | 0.500000 | + | 0.866025i | 0.109109 | + | 0.188982i | ||||
\(22\) | −1.50000 | − | 2.59808i | −0.319801 | − | 0.553912i | ||||
\(23\) | 1.34730 | − | 2.33359i | 0.280931 | − | 0.486586i | −0.690684 | − | 0.723157i | \(-0.742690\pi\) |
0.971614 | + | 0.236571i | \(0.0760236\pi\) | |||||||
\(24\) | 4.23783 | + | 7.34013i | 0.865043 | + | 1.49830i | ||||
\(25\) | 2.11334 | − | 3.66041i | 0.422668 | − | 0.732083i | ||||
\(26\) | −3.46791 | −0.680113 | ||||||||
\(27\) | −6.59627 | −1.26945 | ||||||||
\(28\) | 0.0320889 | − | 0.0555796i | 0.00606423 | − | 0.0105036i | ||||
\(29\) | 3.43969 | − | 5.95772i | 0.638735 | − | 1.10632i | −0.346976 | − | 0.937874i | \(-0.612791\pi\) |
0.985711 | − | 0.168447i | \(-0.0538753\pi\) | |||||||
\(30\) | 3.41147 | 0.622847 | ||||||||
\(31\) | −7.10607 | −1.27629 | −0.638144 | − | 0.769917i | \(-0.720297\pi\) | ||||
−0.638144 | + | 0.769917i | \(0.720297\pi\) | |||||||
\(32\) | 0.520945 | − | 0.902302i | 0.0920909 | − | 0.159506i | ||||
\(33\) | −3.20574 | − | 5.55250i | −0.558047 | − | 0.966566i | ||||
\(34\) | 0.315207 | − | 0.545955i | 0.0540576 | − | 0.0936306i | ||||
\(35\) | −0.152704 | − | 0.264490i | −0.0258116 | − | 0.0447070i | ||||
\(36\) | 0.488856 | + | 0.846723i | 0.0814759 | + | 0.141120i | ||||
\(37\) | 4.94356 | 0.812717 | 0.406358 | − | 0.913714i | \(-0.366798\pi\) | ||||
0.406358 | + | 0.913714i | \(0.366798\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −7.41147 | −1.18679 | ||||||||
\(40\) | −1.29426 | − | 2.24173i | −0.204641 | − | 0.354449i | ||||
\(41\) | −1.23783 | − | 2.14398i | −0.193316 | − | 0.334833i | 0.753031 | − | 0.657985i | \(-0.228591\pi\) |
−0.946347 | + | 0.323152i | \(0.895258\pi\) | |||||||
\(42\) | −0.673648 | + | 1.16679i | −0.103946 | + | 0.180040i | ||||
\(43\) | −1.95084 | − | 3.37895i | −0.297500 | − | 0.515285i | 0.678063 | − | 0.735003i | \(-0.262819\pi\) |
−0.975563 | + | 0.219719i | \(0.929486\pi\) | |||||||
\(44\) | −0.205737 | + | 0.356347i | −0.0310160 | + | 0.0537213i | ||||
\(45\) | 4.65270 | 0.693584 | ||||||||
\(46\) | 3.63041 | 0.535275 | ||||||||
\(47\) | 3.64543 | − | 6.31407i | 0.531741 | − | 0.921002i | −0.467573 | − | 0.883954i | \(-0.654871\pi\) |
0.999314 | − | 0.0370472i | \(-0.0117952\pi\) | |||||||
\(48\) | −5.17752 | + | 8.96773i | −0.747310 | + | 1.29438i | ||||
\(49\) | −6.87939 | −0.982769 | ||||||||
\(50\) | 5.69459 | 0.805337 | ||||||||
\(51\) | 0.673648 | − | 1.16679i | 0.0943296 | − | 0.163384i | ||||
\(52\) | 0.237826 | + | 0.411927i | 0.0329805 | + | 0.0571239i | ||||
\(53\) | 1.41875 | − | 2.45734i | 0.194880 | − | 0.337542i | −0.751981 | − | 0.659185i | \(-0.770902\pi\) |
0.946861 | + | 0.321642i | \(0.104235\pi\) | |||||||
\(54\) | −4.44356 | − | 7.69648i | −0.604692 | − | 1.04736i | ||||
\(55\) | 0.979055 | + | 1.69577i | 0.132016 | + | 0.228658i | ||||
\(56\) | 1.02229 | 0.136609 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 9.26857 | 1.21702 | ||||||||
\(59\) | 3.15270 | + | 5.46064i | 0.410447 | + | 0.710915i | 0.994939 | − | 0.100485i | \(-0.0320393\pi\) |
−0.584492 | + | 0.811400i | \(0.698706\pi\) | |||||||
\(60\) | −0.233956 | − | 0.405223i | −0.0302035 | − | 0.0523141i | ||||
\(61\) | −4.56418 | + | 7.90539i | −0.584383 | + | 1.01218i | 0.410569 | + | 0.911830i | \(0.365330\pi\) |
−0.994952 | + | 0.100352i | \(0.968003\pi\) | |||||||
\(62\) | −4.78699 | − | 8.29131i | −0.607948 | − | 1.05300i | ||||
\(63\) | −0.918748 | + | 1.59132i | −0.115751 | + | 0.200487i | ||||
\(64\) | 8.59627 | 1.07453 | ||||||||
\(65\) | 2.26352 | 0.280755 | ||||||||
\(66\) | 4.31908 | − | 7.48086i | 0.531642 | − | 0.920830i | ||||
\(67\) | −3.83750 | + | 6.64674i | −0.468825 | + | 0.812028i | −0.999365 | − | 0.0356314i | \(-0.988656\pi\) |
0.530540 | + | 0.847660i | \(0.321989\pi\) | |||||||
\(68\) | −0.0864665 | −0.0104856 | ||||||||
\(69\) | 7.75877 | 0.934046 | ||||||||
\(70\) | 0.205737 | − | 0.356347i | 0.0245903 | − | 0.0425916i | ||||
\(71\) | 4.65270 | + | 8.05872i | 0.552174 | + | 0.956394i | 0.998117 | + | 0.0613327i | \(0.0195351\pi\) |
−0.445943 | + | 0.895061i | \(0.647132\pi\) | |||||||
\(72\) | −7.78699 | + | 13.4875i | −0.917705 | + | 1.58951i | ||||
\(73\) | −0.694593 | − | 1.20307i | −0.0812959 | − | 0.140809i | 0.822511 | − | 0.568749i | \(-0.192573\pi\) |
−0.903807 | + | 0.427941i | \(0.859239\pi\) | |||||||
\(74\) | 3.33022 | + | 5.76811i | 0.387130 | + | 0.670530i | ||||
\(75\) | 12.1702 | 1.40530 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.773318 | −0.0881278 | ||||||||
\(78\) | −4.99273 | − | 8.64766i | −0.565315 | − | 0.979154i | ||||
\(79\) | 5.92262 | + | 10.2583i | 0.666347 | + | 1.15415i | 0.978918 | + | 0.204252i | \(0.0654762\pi\) |
−0.312572 | + | 0.949894i | \(0.601190\pi\) | |||||||
\(80\) | 1.58125 | − | 2.73881i | 0.176789 | − | 0.306208i | ||||
\(81\) | −1.56031 | − | 2.70253i | −0.173367 | − | 0.300281i | ||||
\(82\) | 1.66772 | − | 2.88857i | 0.184169 | − | 0.318990i | ||||
\(83\) | −14.8307 | −1.62788 | −0.813940 | − | 0.580949i | \(-0.802681\pi\) | ||||
−0.813940 | + | 0.580949i | \(0.802681\pi\) | |||||||
\(84\) | 0.184793 | 0.0201625 | ||||||||
\(85\) | −0.205737 | + | 0.356347i | −0.0223153 | + | 0.0386513i | ||||
\(86\) | 2.62836 | − | 4.55245i | 0.283423 | − | 0.490903i | ||||
\(87\) | 19.8084 | 2.12368 | ||||||||
\(88\) | −6.55438 | −0.698699 | ||||||||
\(89\) | 5.14543 | − | 8.91215i | 0.545414 | − | 0.944686i | −0.453166 | − | 0.891426i | \(-0.649706\pi\) |
0.998581 | − | 0.0532595i | \(-0.0169611\pi\) | |||||||
\(90\) | 3.13429 | + | 5.42874i | 0.330383 | + | 0.572240i | ||||
\(91\) | −0.446967 | + | 0.774169i | −0.0468548 | + | 0.0811549i | ||||
\(92\) | −0.248970 | − | 0.431229i | −0.0259569 | − | 0.0449588i | ||||
\(93\) | −10.2306 | − | 17.7198i | −1.06086 | − | 1.83746i | ||||
\(94\) | 9.82295 | 1.01316 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.00000 | 0.306186 | ||||||||
\(97\) | −4.72668 | − | 8.18685i | −0.479922 | − | 0.831249i | 0.519813 | − | 0.854280i | \(-0.326002\pi\) |
−0.999735 | + | 0.0230312i | \(0.992668\pi\) | |||||||
\(98\) | −4.63429 | − | 8.02682i | −0.468134 | − | 0.810831i | ||||
\(99\) | 5.89053 | − | 10.2027i | 0.592020 | − | 1.02541i | ||||
\(100\) | −0.390530 | − | 0.676417i | −0.0390530 | − | 0.0676417i | ||||
\(101\) | 4.62449 | − | 8.00984i | 0.460153 | − | 0.797009i | −0.538815 | − | 0.842424i | \(-0.681128\pi\) |
0.998968 | + | 0.0454151i | \(0.0144610\pi\) | |||||||
\(102\) | 1.81521 | 0.179732 | ||||||||
\(103\) | −5.50980 | −0.542897 | −0.271448 | − | 0.962453i | \(-0.587503\pi\) | ||||
−0.271448 | + | 0.962453i | \(0.587503\pi\) | |||||||
\(104\) | −3.78833 | + | 6.56159i | −0.371477 | + | 0.643416i | ||||
\(105\) | 0.439693 | − | 0.761570i | 0.0429096 | − | 0.0743216i | ||||
\(106\) | 3.82295 | 0.371318 | ||||||||
\(107\) | 10.2344 | 0.989399 | 0.494699 | − | 0.869064i | \(-0.335278\pi\) | ||||
0.494699 | + | 0.869064i | \(0.335278\pi\) | |||||||
\(108\) | −0.609470 | + | 1.05563i | −0.0586463 | + | 0.101578i | ||||
\(109\) | 0.911474 | + | 1.57872i | 0.0873034 | + | 0.151214i | 0.906370 | − | 0.422484i | \(-0.138842\pi\) |
−0.819067 | + | 0.573698i | \(0.805508\pi\) | |||||||
\(110\) | −1.31908 | + | 2.28471i | −0.125769 | + | 0.217839i | ||||
\(111\) | 7.11721 | + | 12.3274i | 0.675536 | + | 1.17006i | ||||
\(112\) | 0.624485 | + | 1.08164i | 0.0590083 | + | 0.102205i | ||||
\(113\) | −17.6878 | −1.66393 | −0.831963 | − | 0.554830i | \(-0.812783\pi\) | ||||
−0.831963 | + | 0.554830i | \(0.812783\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.36959 | −0.220965 | ||||||||
\(116\) | −0.635630 | − | 1.10094i | −0.0590167 | − | 0.102220i | ||||
\(117\) | −6.80928 | − | 11.7940i | −0.629518 | − | 1.09036i | ||||
\(118\) | −4.24763 | + | 7.35710i | −0.391026 | + | 0.677276i | ||||
\(119\) | −0.0812519 | − | 0.140732i | −0.00744835 | − | 0.0129009i | ||||
\(120\) | 3.72668 | − | 6.45480i | 0.340198 | − | 0.589240i | ||||
\(121\) | −6.04189 | −0.549263 | ||||||||
\(122\) | −12.2986 | −1.11346 | ||||||||
\(123\) | 3.56418 | − | 6.17334i | 0.321371 | − | 0.556631i | ||||
\(124\) | −0.656574 | + | 1.13722i | −0.0589621 | + | 0.102125i | ||||
\(125\) | −8.11381 | −0.725721 | ||||||||
\(126\) | −2.47565 | −0.220549 | ||||||||
\(127\) | −5.80200 | + | 10.0494i | −0.514845 | + | 0.891737i | 0.485007 | + | 0.874510i | \(0.338817\pi\) |
−0.999852 | + | 0.0172267i | \(0.994516\pi\) | |||||||
\(128\) | 4.74897 | + | 8.22546i | 0.419754 | + | 0.727035i | ||||
\(129\) | 5.61721 | − | 9.72930i | 0.494568 | − | 0.856617i | ||||
\(130\) | 1.52481 | + | 2.64106i | 0.133735 | + | 0.231636i | ||||
\(131\) | −0.922618 | − | 1.59802i | −0.0806096 | − | 0.139620i | 0.822902 | − | 0.568183i | \(-0.192353\pi\) |
−0.903512 | + | 0.428563i | \(0.859020\pi\) | |||||||
\(132\) | −1.18479 | −0.103123 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −10.3405 | −0.893282 | ||||||||
\(135\) | 2.90033 | + | 5.02352i | 0.249621 | + | 0.432356i | ||||
\(136\) | −0.688663 | − | 1.19280i | −0.0590524 | − | 0.102282i | ||||
\(137\) | −0.127889 | + | 0.221510i | −0.0109263 | + | 0.0189249i | −0.871437 | − | 0.490508i | \(-0.836811\pi\) |
0.860511 | + | 0.509433i | \(0.170145\pi\) | |||||||
\(138\) | 5.22668 | + | 9.05288i | 0.444925 | + | 0.770632i | ||||
\(139\) | −2.13176 | + | 3.69232i | −0.180813 | + | 0.313178i | −0.942158 | − | 0.335170i | \(-0.891206\pi\) |
0.761344 | + | 0.648348i | \(0.224540\pi\) | |||||||
\(140\) | −0.0564370 | −0.00476980 | ||||||||
\(141\) | 20.9932 | 1.76795 | ||||||||
\(142\) | −6.26857 | + | 10.8575i | −0.526047 | + | 0.911140i | ||||
\(143\) | 2.86571 | − | 4.96356i | 0.239643 | − | 0.415074i | ||||
\(144\) | −19.0273 | −1.58561 | ||||||||
\(145\) | −6.04963 | −0.502394 | ||||||||
\(146\) | 0.935822 | − | 1.62089i | 0.0774492 | − | 0.134146i | ||||
\(147\) | −9.90420 | − | 17.1546i | −0.816885 | − | 1.41489i | ||||
\(148\) | 0.456767 | − | 0.791143i | 0.0375460 | − | 0.0650316i | ||||
\(149\) | −8.27972 | − | 14.3409i | −0.678301 | − | 1.17485i | −0.975492 | − | 0.220033i | \(-0.929383\pi\) |
0.297192 | − | 0.954818i | \(-0.403950\pi\) | |||||||
\(150\) | 8.19846 | + | 14.2002i | 0.669402 | + | 1.15944i | ||||
\(151\) | −4.36184 | −0.354962 | −0.177481 | − | 0.984124i | \(-0.556795\pi\) | ||||
−0.177481 | + | 0.984124i | \(0.556795\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.47565 | 0.200145 | ||||||||
\(154\) | −0.520945 | − | 0.902302i | −0.0419789 | − | 0.0727096i | ||||
\(155\) | 3.12449 | + | 5.41177i | 0.250965 | + | 0.434684i | ||||
\(156\) | −0.684793 | + | 1.18610i | −0.0548273 | + | 0.0949636i | ||||
\(157\) | 4.80928 | + | 8.32991i | 0.383822 | + | 0.664799i | 0.991605 | − | 0.129304i | \(-0.0412742\pi\) |
−0.607783 | + | 0.794103i | \(0.707941\pi\) | |||||||
\(158\) | −7.97952 | + | 13.8209i | −0.634817 | + | 1.09953i | ||||
\(159\) | 8.17024 | 0.647943 | ||||||||
\(160\) | −0.916222 | −0.0724337 | ||||||||
\(161\) | 0.467911 | − | 0.810446i | 0.0368766 | − | 0.0638721i | ||||
\(162\) | 2.10220 | − | 3.64111i | 0.165164 | − | 0.286073i | ||||
\(163\) | 8.35504 | 0.654417 | 0.327209 | − | 0.944952i | \(-0.393892\pi\) | ||||
0.327209 | + | 0.944952i | \(0.393892\pi\) | |||||||
\(164\) | −0.457482 | −0.0357233 | ||||||||
\(165\) | −2.81908 | + | 4.88279i | −0.219465 | + | 0.380124i | ||||
\(166\) | −9.99067 | − | 17.3043i | −0.775426 | − | 1.34308i | ||||
\(167\) | −2.01754 | + | 3.49448i | −0.156122 | + | 0.270411i | −0.933467 | − | 0.358663i | \(-0.883233\pi\) |
0.777345 | + | 0.629075i | \(0.216566\pi\) | |||||||
\(168\) | 1.47178 | + | 2.54920i | 0.113550 | + | 0.196675i | ||||
\(169\) | 3.18732 | + | 5.52060i | 0.245178 | + | 0.424661i | ||||
\(170\) | −0.554378 | −0.0425188 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.721000 | −0.0549758 | ||||||||
\(173\) | 10.0719 | + | 17.4451i | 0.765754 | + | 1.32632i | 0.939847 | + | 0.341595i | \(0.110967\pi\) |
−0.174093 | + | 0.984729i | \(0.555699\pi\) | |||||||
\(174\) | 13.3439 | + | 23.1123i | 1.01160 | + | 1.75214i | ||||
\(175\) | 0.733956 | − | 1.27125i | 0.0554818 | − | 0.0960973i | ||||
\(176\) | −4.00387 | − | 6.93491i | −0.301803 | − | 0.522738i | ||||
\(177\) | −9.07785 | + | 15.7233i | −0.682333 | + | 1.18184i | ||||
\(178\) | 13.8648 | 1.03921 | ||||||||
\(179\) | −11.5125 | −0.860484 | −0.430242 | − | 0.902714i | \(-0.641572\pi\) | ||||
−0.430242 | + | 0.902714i | \(0.641572\pi\) | |||||||
\(180\) | 0.429892 | − | 0.744596i | 0.0320423 | − | 0.0554989i | ||||
\(181\) | −4.26857 | + | 7.39338i | −0.317280 | + | 0.549546i | −0.979920 | − | 0.199393i | \(-0.936103\pi\) |
0.662639 | + | 0.748939i | \(0.269436\pi\) | |||||||
\(182\) | −1.20439 | −0.0892755 | ||||||||
\(183\) | −26.2841 | −1.94297 | ||||||||
\(184\) | 3.96585 | − | 6.86906i | 0.292366 | − | 0.506394i | ||||
\(185\) | −2.17365 | − | 3.76487i | −0.159810 | − | 0.276799i | ||||
\(186\) | 13.7836 | − | 23.8739i | 1.01066 | − | 1.75052i | ||||
\(187\) | 0.520945 | + | 0.902302i | 0.0380952 | + | 0.0659829i | ||||
\(188\) | −0.673648 | − | 1.16679i | −0.0491308 | − | 0.0850971i | ||||
\(189\) | −2.29086 | −0.166635 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.3354 | 1.32671 | 0.663353 | − | 0.748307i | \(-0.269133\pi\) | ||||
0.663353 | + | 0.748307i | \(0.269133\pi\) | |||||||
\(192\) | 12.3760 | + | 21.4358i | 0.893160 | + | 1.54700i | ||||
\(193\) | −0.148833 | − | 0.257787i | −0.0107133 | − | 0.0185559i | 0.860619 | − | 0.509249i | \(-0.170077\pi\) |
−0.871332 | + | 0.490693i | \(0.836744\pi\) | |||||||
\(194\) | 6.36824 | − | 11.0301i | 0.457213 | − | 0.791916i | ||||
\(195\) | 3.25877 | + | 5.64436i | 0.233365 | + | 0.404201i | ||||
\(196\) | −0.635630 | + | 1.10094i | −0.0454021 | + | 0.0786388i | ||||
\(197\) | 13.1411 | 0.936268 | 0.468134 | − | 0.883657i | \(-0.344926\pi\) | ||||
0.468134 | + | 0.883657i | \(0.344926\pi\) | |||||||
\(198\) | 15.8726 | 1.12802 | ||||||||
\(199\) | 0.128356 | − | 0.222318i | 0.00909888 | − | 0.0157597i | −0.861440 | − | 0.507859i | \(-0.830437\pi\) |
0.870539 | + | 0.492099i | \(0.163770\pi\) | |||||||
\(200\) | 6.22075 | − | 10.7747i | 0.439874 | − | 0.761883i | ||||
\(201\) | −22.0993 | −1.55876 | ||||||||
\(202\) | 12.4611 | 0.876760 | ||||||||
\(203\) | 1.19459 | − | 2.06910i | 0.0838440 | − | 0.145222i | ||||
\(204\) | −0.124485 | − | 0.215615i | −0.00871570 | − | 0.0150960i | ||||
\(205\) | −1.08853 | + | 1.88538i | −0.0760259 | + | 0.131681i | ||||
\(206\) | −3.71167 | − | 6.42880i | −0.258604 | − | 0.447915i | ||||
\(207\) | 7.12836 | + | 12.3467i | 0.495455 | + | 0.858153i | ||||
\(208\) | −9.25671 | −0.641837 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 1.18479 | 0.0817585 | ||||||||
\(211\) | −1.22416 | − | 2.12030i | −0.0842743 | − | 0.145967i | 0.820807 | − | 0.571205i | \(-0.193524\pi\) |
−0.905082 | + | 0.425238i | \(0.860191\pi\) | |||||||
\(212\) | −0.262174 | − | 0.454099i | −0.0180062 | − | 0.0311876i | ||||
\(213\) | −13.3969 | + | 23.2042i | −0.917942 | + | 1.58992i | ||||
\(214\) | 6.89440 | + | 11.9415i | 0.471291 | + | 0.816301i | ||||
\(215\) | −1.71554 | + | 2.97140i | −0.116999 | + | 0.202648i | ||||
\(216\) | −19.4165 | −1.32113 | ||||||||
\(217\) | −2.46791 | −0.167533 | ||||||||
\(218\) | −1.22803 | + | 2.12700i | −0.0831724 | + | 0.144059i | ||||
\(219\) | 2.00000 | − | 3.46410i | 0.135147 | − | 0.234082i | ||||
\(220\) | 0.361844 | 0.0243955 | ||||||||
\(221\) | 1.20439 | 0.0810162 | ||||||||
\(222\) | −9.58899 | + | 16.6086i | −0.643571 | + | 1.11470i | ||||
\(223\) | 4.25490 | + | 7.36970i | 0.284929 | + | 0.493512i | 0.972592 | − | 0.232518i | \(-0.0746966\pi\) |
−0.687663 | + | 0.726030i | \(0.741363\pi\) | |||||||
\(224\) | 0.180922 | − | 0.313366i | 0.0120884 | − | 0.0209377i | ||||
\(225\) | 11.1814 | + | 19.3667i | 0.745426 | + | 1.29112i | ||||
\(226\) | −11.9153 | − | 20.6380i | −0.792597 | − | 1.37282i | ||||
\(227\) | −14.1506 | −0.939211 | −0.469606 | − | 0.882876i | \(-0.655604\pi\) | ||||
−0.469606 | + | 0.882876i | \(0.655604\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −20.5330 | −1.35686 | −0.678430 | − | 0.734665i | \(-0.737339\pi\) | ||||
−0.678430 | + | 0.734665i | \(0.737339\pi\) | |||||||
\(230\) | −1.59627 | − | 2.76481i | −0.105255 | − | 0.182306i | ||||
\(231\) | −1.11334 | − | 1.92836i | −0.0732524 | − | 0.126877i | ||||
\(232\) | 10.1250 | − | 17.5369i | 0.664736 | − | 1.15136i | ||||
\(233\) | −8.82547 | − | 15.2862i | −0.578176 | − | 1.00143i | −0.995689 | − | 0.0927591i | \(-0.970431\pi\) |
0.417513 | − | 0.908671i | \(-0.362902\pi\) | |||||||
\(234\) | 9.17412 | − | 15.8900i | 0.599731 | − | 1.03876i | ||||
\(235\) | −6.41147 | −0.418238 | ||||||||
\(236\) | 1.16519 | 0.0758475 | ||||||||
\(237\) | −17.0535 | + | 29.5375i | −1.10774 | + | 1.91867i | ||||
\(238\) | 0.109470 | − | 0.189608i | 0.00709591 | − | 0.0122905i | ||||
\(239\) | 2.35235 | 0.152161 | 0.0760804 | − | 0.997102i | \(-0.475759\pi\) | ||||
0.0760804 | + | 0.997102i | \(0.475759\pi\) | |||||||
\(240\) | 9.10607 | 0.587794 | ||||||||
\(241\) | −6.90033 | + | 11.9517i | −0.444489 | + | 0.769878i | −0.998016 | − | 0.0629530i | \(-0.979948\pi\) |
0.553527 | + | 0.832831i | \(0.313281\pi\) | |||||||
\(242\) | −4.07011 | − | 7.04963i | −0.261636 | − | 0.453168i | ||||
\(243\) | −5.40167 | + | 9.35597i | −0.346518 | + | 0.600186i | ||||
\(244\) | 0.843426 | + | 1.46086i | 0.0539948 | + | 0.0935218i | ||||
\(245\) | 3.02481 | + | 5.23913i | 0.193248 | + | 0.334716i | ||||
\(246\) | 9.60401 | 0.612329 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −20.9172 | −1.32824 | ||||||||
\(249\) | −21.3516 | − | 36.9821i | −1.35310 | − | 2.34365i | ||||
\(250\) | −5.46585 | − | 9.46713i | −0.345691 | − | 0.598754i | ||||
\(251\) | 2.08260 | − | 3.60716i | 0.131452 | − | 0.227682i | −0.792784 | − | 0.609502i | \(-0.791369\pi\) |
0.924237 | + | 0.381820i | \(0.124703\pi\) | |||||||
\(252\) | 0.169778 | + | 0.294064i | 0.0106950 | + | 0.0185243i | ||||
\(253\) | −3.00000 | + | 5.19615i | −0.188608 | + | 0.326679i | ||||
\(254\) | −15.6340 | −0.980967 | ||||||||
\(255\) | −1.18479 | −0.0741946 | ||||||||
\(256\) | 2.19800 | − | 3.80704i | 0.137375 | − | 0.237940i | ||||
\(257\) | −0.333626 | + | 0.577857i | −0.0208110 | + | 0.0360457i | −0.876243 | − | 0.481869i | \(-0.839958\pi\) |
0.855432 | + | 0.517915i | \(0.173291\pi\) | |||||||
\(258\) | 15.1361 | 0.942332 | ||||||||
\(259\) | 1.71688 | 0.106682 | ||||||||
\(260\) | 0.209141 | − | 0.362242i | 0.0129704 | − | 0.0224653i | ||||
\(261\) | 18.1989 | + | 31.5215i | 1.12649 | + | 1.95113i | ||||
\(262\) | 1.24304 | − | 2.15301i | 0.0767953 | − | 0.133013i | ||||
\(263\) | −5.69981 | − | 9.87236i | −0.351465 | − | 0.608756i | 0.635041 | − | 0.772478i | \(-0.280983\pi\) |
−0.986506 | + | 0.163723i | \(0.947650\pi\) | |||||||
\(264\) | −9.43629 | − | 16.3441i | −0.580763 | − | 1.00591i | ||||
\(265\) | −2.49525 | −0.153282 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 29.6313 | 1.81341 | ||||||||
\(268\) | 0.709141 | + | 1.22827i | 0.0433177 | + | 0.0750284i | ||||
\(269\) | −9.69506 | − | 16.7923i | −0.591118 | − | 1.02385i | −0.994082 | − | 0.108631i | \(-0.965353\pi\) |
0.402964 | − | 0.915216i | \(-0.367980\pi\) | |||||||
\(270\) | −3.90760 | + | 6.76817i | −0.237809 | + | 0.411898i | ||||
\(271\) | 6.69712 | + | 11.5998i | 0.406821 | + | 0.704635i | 0.994532 | − | 0.104437i | \(-0.0333039\pi\) |
−0.587711 | + | 0.809071i | \(0.699971\pi\) | |||||||
\(272\) | 0.841367 | − | 1.45729i | 0.0510153 | − | 0.0883612i | ||||
\(273\) | −2.57398 | −0.155784 | ||||||||
\(274\) | −0.344608 | −0.0208185 | ||||||||
\(275\) | −4.70574 | + | 8.15058i | −0.283767 | + | 0.491498i | ||||
\(276\) | 0.716881 | − | 1.24168i | 0.0431512 | − | 0.0747401i | ||||
\(277\) | 17.7469 | 1.06631 | 0.533154 | − | 0.846018i | \(-0.321007\pi\) | ||||
0.533154 | + | 0.846018i | \(0.321007\pi\) | |||||||
\(278\) | −5.74422 | −0.344516 | ||||||||
\(279\) | 18.7986 | − | 32.5601i | 1.12544 | − | 1.94932i | ||||
\(280\) | −0.449493 | − | 0.778544i | −0.0268623 | − | 0.0465269i | ||||
\(281\) | −9.13950 | + | 15.8301i | −0.545217 | + | 0.944343i | 0.453376 | + | 0.891319i | \(0.350219\pi\) |
−0.998593 | + | 0.0530241i | \(0.983114\pi\) | |||||||
\(282\) | 14.1420 | + | 24.4947i | 0.842145 | + | 1.45864i | ||||
\(283\) | −3.84389 | − | 6.65782i | −0.228496 | − | 0.395766i | 0.728867 | − | 0.684656i | \(-0.240047\pi\) |
−0.957362 | + | 0.288889i | \(0.906714\pi\) | |||||||
\(284\) | 1.71957 | 0.102038 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.72193 | 0.456608 | ||||||||
\(287\) | −0.429892 | − | 0.744596i | −0.0253757 | − | 0.0439521i | ||||
\(288\) | 2.75624 | + | 4.77396i | 0.162413 | + | 0.281308i | ||||
\(289\) | 8.39053 | − | 14.5328i | 0.493561 | − | 0.854872i | ||||
\(290\) | −4.07532 | − | 7.05866i | −0.239311 | − | 0.414499i | ||||
\(291\) | 13.6099 | − | 23.5731i | 0.797829 | − | 1.38188i | ||||
\(292\) | −0.256711 | −0.0150229 | ||||||||
\(293\) | −10.5030 | −0.613591 | −0.306796 | − | 0.951775i | \(-0.599257\pi\) | ||||
−0.306796 | + | 0.951775i | \(0.599257\pi\) | |||||||
\(294\) | 13.3439 | − | 23.1123i | 0.778232 | − | 1.34794i | ||||
\(295\) | 2.77244 | − | 4.80201i | 0.161418 | − | 0.279584i | ||||
\(296\) | 14.5517 | 0.845800 | ||||||||
\(297\) | 14.6878 | 0.852272 | ||||||||
\(298\) | 11.1552 | − | 19.3214i | 0.646205 | − | 1.11926i | ||||
\(299\) | 3.46791 | + | 6.00660i | 0.200554 | + | 0.347371i | ||||
\(300\) | 1.12449 | − | 1.94767i | 0.0649222 | − | 0.112449i | ||||
\(301\) | −0.677519 | − | 1.17350i | −0.0390515 | − | 0.0676392i | ||||
\(302\) | −2.93835 | − | 5.08937i | −0.169083 | − | 0.292860i | ||||
\(303\) | 26.6313 | 1.52993 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 8.02734 | 0.459644 | ||||||||
\(306\) | 1.66772 | + | 2.88857i | 0.0953371 | + | 0.165129i | ||||
\(307\) | 5.84776 | + | 10.1286i | 0.333749 | + | 0.578071i | 0.983244 | − | 0.182295i | \(-0.0583527\pi\) |
−0.649494 | + | 0.760366i | \(0.725019\pi\) | |||||||
\(308\) | −0.0714517 | + | 0.123758i | −0.00407134 | + | 0.00705177i | ||||
\(309\) | −7.93242 | − | 13.7394i | −0.451260 | − | 0.781604i | ||||
\(310\) | −4.20961 | + | 7.29125i | −0.239090 | + | 0.414115i | ||||
\(311\) | 15.9659 | 0.905340 | 0.452670 | − | 0.891678i | \(-0.350471\pi\) | ||||
0.452670 | + | 0.891678i | \(0.350471\pi\) | |||||||
\(312\) | −21.8161 | −1.23510 | ||||||||
\(313\) | 13.3143 | − | 23.0611i | 0.752570 | − | 1.30349i | −0.194003 | − | 0.981001i | \(-0.562147\pi\) |
0.946573 | − | 0.322489i | \(-0.104520\pi\) | |||||||
\(314\) | −6.47952 | + | 11.2229i | −0.365661 | + | 0.633343i | ||||
\(315\) | 1.61587 | 0.0910438 | ||||||||
\(316\) | 2.18891 | 0.123136 | ||||||||
\(317\) | −14.7660 | + | 25.5755i | −0.829344 | + | 1.43647i | 0.0692102 | + | 0.997602i | \(0.477952\pi\) |
−0.898554 | + | 0.438863i | \(0.855381\pi\) | |||||||
\(318\) | 5.50387 | + | 9.53298i | 0.308642 | + | 0.534583i | ||||
\(319\) | −7.65910 | + | 13.2660i | −0.428827 | + | 0.742751i | ||||
\(320\) | −3.77972 | − | 6.54666i | −0.211292 | − | 0.365969i | ||||
\(321\) | 14.7344 | + | 25.5208i | 0.822395 | + | 1.42443i | ||||
\(322\) | 1.26083 | 0.0702633 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −0.576666 | −0.0320370 | ||||||||
\(325\) | 5.43969 | + | 9.42182i | 0.301740 | + | 0.522629i | ||||
\(326\) | 5.62836 | + | 9.74860i | 0.311726 | + | 0.539925i | ||||
\(327\) | −2.62449 | + | 4.54574i | −0.145134 | + | 0.251380i | ||||
\(328\) | −3.64362 | − | 6.31093i | −0.201185 | − | 0.348463i | ||||
\(329\) | 1.26604 | − | 2.19285i | 0.0697993 | − | 0.120896i | ||||
\(330\) | −7.59627 | −0.418161 | ||||||||
\(331\) | 27.6655 | 1.52063 | 0.760317 | − | 0.649553i | \(-0.225044\pi\) | ||||
0.760317 | + | 0.649553i | \(0.225044\pi\) | |||||||
\(332\) | −1.37030 | + | 2.37343i | −0.0752050 | + | 0.130259i | ||||
\(333\) | −13.0778 | + | 22.6515i | −0.716662 | + | 1.24129i | ||||
\(334\) | −5.43645 | −0.297469 | ||||||||
\(335\) | 6.74928 | 0.368752 | ||||||||
\(336\) | −1.79813 | + | 3.11446i | −0.0980962 | + | 0.169908i | ||||
\(337\) | −8.92989 | − | 15.4670i | −0.486442 | − | 0.842543i | 0.513436 | − | 0.858128i | \(-0.328372\pi\) |
−0.999879 | + | 0.0155850i | \(0.995039\pi\) | |||||||
\(338\) | −4.29426 | + | 7.43788i | −0.233577 | + | 0.404567i | ||||
\(339\) | −25.4650 | − | 44.1066i | −1.38307 | − | 2.39554i | ||||
\(340\) | 0.0380187 | + | 0.0658503i | 0.00206185 | + | 0.00357123i | ||||
\(341\) | 15.8229 | 0.856861 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.82026 | −0.260270 | ||||||||
\(344\) | −5.74241 | − | 9.94615i | −0.309610 | − | 0.536260i | ||||
\(345\) | −3.41147 | − | 5.90885i | −0.183668 | − | 0.318122i | ||||
\(346\) | −13.5699 | + | 23.5037i | −0.729520 | + | 1.26357i | ||||
\(347\) | 2.90033 | + | 5.02352i | 0.155698 | + | 0.269677i | 0.933313 | − | 0.359064i | \(-0.116904\pi\) |
−0.777615 | + | 0.628741i | \(0.783571\pi\) | |||||||
\(348\) | 1.83022 | − | 3.17004i | 0.0981102 | − | 0.169932i | ||||
\(349\) | 5.37227 | 0.287571 | 0.143786 | − | 0.989609i | \(-0.454072\pi\) | ||||
0.143786 | + | 0.989609i | \(0.454072\pi\) | |||||||
\(350\) | 1.97771 | 0.105713 | ||||||||
\(351\) | 8.48932 | − | 14.7039i | 0.453127 | − | 0.784838i | ||||
\(352\) | −1.15998 | + | 2.00914i | −0.0618270 | + | 0.107088i | ||||
\(353\) | −25.2344 | −1.34309 | −0.671546 | − | 0.740963i | \(-0.734370\pi\) | ||||
−0.671546 | + | 0.740963i | \(0.734370\pi\) | |||||||
\(354\) | −24.4611 | −1.30009 | ||||||||
\(355\) | 4.09152 | − | 7.08672i | 0.217155 | − | 0.376124i | ||||
\(356\) | −0.950837 | − | 1.64690i | −0.0503943 | − | 0.0872854i | ||||
\(357\) | 0.233956 | − | 0.405223i | 0.0123822 | − | 0.0214467i | ||||
\(358\) | −7.75537 | − | 13.4327i | −0.409884 | − | 0.709940i | ||||
\(359\) | −3.34343 | − | 5.79098i | −0.176459 | − | 0.305636i | 0.764206 | − | 0.644972i | \(-0.223131\pi\) |
−0.940665 | + | 0.339336i | \(0.889798\pi\) | |||||||
\(360\) | 13.6955 | 0.721818 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −11.5021 | −0.604535 | ||||||||
\(363\) | −8.69846 | − | 15.0662i | −0.456551 | − | 0.790769i | ||||
\(364\) | 0.0825961 | + | 0.143061i | 0.00432921 | + | 0.00749841i | ||||
\(365\) | −0.610815 | + | 1.05796i | −0.0319715 | + | 0.0553763i | ||||
\(366\) | −17.7062 | − | 30.6680i | −0.925518 | − | 1.60304i | ||||
\(367\) | −4.05943 | + | 7.03114i | −0.211901 | + | 0.367022i | −0.952309 | − | 0.305134i | \(-0.901299\pi\) |
0.740409 | + | 0.672157i | \(0.234632\pi\) | |||||||
\(368\) | 9.69047 | 0.505151 | ||||||||
\(369\) | 13.0983 | 0.681872 | ||||||||
\(370\) | 2.92855 | − | 5.07239i | 0.152248 | − | 0.263701i | ||||
\(371\) | 0.492726 | − | 0.853427i | 0.0255811 | − | 0.0443077i | ||||
\(372\) | −3.78106 | −0.196039 | ||||||||
\(373\) | 34.8976 | 1.80693 | 0.903463 | − | 0.428665i | \(-0.141016\pi\) | ||||
0.903463 | + | 0.428665i | \(0.141016\pi\) | |||||||
\(374\) | −0.701867 | + | 1.21567i | −0.0362927 | + | 0.0628607i | ||||
\(375\) | −11.6814 | − | 20.2328i | −0.603224 | − | 1.04482i | ||||
\(376\) | 10.7306 | − | 18.5859i | 0.553386 | − | 0.958493i | ||||
\(377\) | 8.85369 | + | 15.3350i | 0.455988 | + | 0.789795i | ||||
\(378\) | −1.54323 | − | 2.67296i | −0.0793754 | − | 0.137482i | ||||
\(379\) | 1.70140 | 0.0873950 | 0.0436975 | − | 0.999045i | \(-0.486086\pi\) | ||||
0.0436975 | + | 0.999045i | \(0.486086\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −33.4124 | −1.71177 | ||||||||
\(382\) | 12.3516 | + | 21.3937i | 0.631965 | + | 1.09459i | ||||
\(383\) | −1.46838 | − | 2.54331i | −0.0750306 | − | 0.129957i | 0.826069 | − | 0.563569i | \(-0.190572\pi\) |
−0.901100 | + | 0.433612i | \(0.857239\pi\) | |||||||
\(384\) | −13.6741 | + | 23.6843i | −0.697804 | + | 1.20863i | ||||
\(385\) | 0.340022 | + | 0.588936i | 0.0173291 | + | 0.0300150i | ||||
\(386\) | 0.200522 | − | 0.347315i | 0.0102063 | − | 0.0176779i | ||||
\(387\) | 20.6432 | 1.04935 | ||||||||
\(388\) | −1.74691 | −0.0886860 | ||||||||
\(389\) | 12.2836 | − | 21.2758i | 0.622803 | − | 1.07873i | −0.366159 | − | 0.930552i | \(-0.619327\pi\) |
0.988961 | − | 0.148173i | \(-0.0473393\pi\) | |||||||
\(390\) | −4.39053 | + | 7.60462i | −0.222323 | + | 0.385075i | ||||
\(391\) | −1.26083 | −0.0637629 | ||||||||
\(392\) | −20.2499 | −1.02277 | ||||||||
\(393\) | 2.65657 | − | 4.60132i | 0.134006 | − | 0.232106i | ||||
\(394\) | 8.85251 | + | 15.3330i | 0.445983 | + | 0.772465i | ||||
\(395\) | 5.20826 | − | 9.02098i | 0.262056 | − | 0.453895i | ||||
\(396\) | −1.08853 | − | 1.88538i | −0.0547005 | − | 0.0947440i | ||||
\(397\) | 15.9179 | + | 27.5706i | 0.798895 | + | 1.38373i | 0.920336 | + | 0.391128i | \(0.127915\pi\) |
−0.121441 | + | 0.992599i | \(0.538752\pi\) | |||||||
\(398\) | 0.345866 | 0.0173367 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 15.2003 | 0.760014 | ||||||||
\(401\) | 0.0432332 | + | 0.0748822i | 0.00215896 | + | 0.00373944i | 0.867103 | − | 0.498129i | \(-0.165979\pi\) |
−0.864944 | + | 0.501869i | \(0.832646\pi\) | |||||||
\(402\) | −14.8871 | − | 25.7853i | −0.742502 | − | 1.28605i | ||||
\(403\) | 9.14543 | − | 15.8403i | 0.455566 | − | 0.789064i | ||||
\(404\) | −0.854570 | − | 1.48016i | −0.0425165 | − | 0.0736407i | ||||
\(405\) | −1.37211 | + | 2.37657i | −0.0681808 | + | 0.118093i | ||||
\(406\) | 3.21894 | 0.159753 | ||||||||
\(407\) | −11.0077 | −0.545633 | ||||||||
\(408\) | 1.98293 | − | 3.43453i | 0.0981695 | − | 0.170034i | ||||
\(409\) | −10.0030 | + | 17.3257i | −0.494616 | + | 0.856700i | −0.999981 | − | 0.00620559i | \(-0.998025\pi\) |
0.505365 | + | 0.862906i | \(0.331358\pi\) | |||||||
\(410\) | −2.93313 | −0.144857 | ||||||||
\(411\) | −0.736482 | −0.0363280 | ||||||||
\(412\) | −0.509085 | + | 0.881761i | −0.0250808 | + | 0.0434412i | ||||
\(413\) | 1.09492 | + | 1.89646i | 0.0538776 | + | 0.0933188i | ||||
\(414\) | −9.60401 | + | 16.6346i | −0.472011 | + | 0.817547i | ||||
\(415\) | 6.52094 | + | 11.2946i | 0.320101 | + | 0.554430i | ||||
\(416\) | 1.34090 | + | 2.32251i | 0.0657430 | + | 0.113870i | ||||
\(417\) | −12.2763 | −0.601174 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 25.4097 | 1.24135 | 0.620673 | − | 0.784070i | \(-0.286859\pi\) | ||||
0.620673 | + | 0.784070i | \(0.286859\pi\) | |||||||
\(420\) | −0.0812519 | − | 0.140732i | −0.00396469 | − | 0.00686704i | ||||
\(421\) | −2.18479 | − | 3.78417i | −0.106480 | − | 0.184429i | 0.807862 | − | 0.589372i | \(-0.200625\pi\) |
−0.914342 | + | 0.404943i | \(0.867291\pi\) | |||||||
\(422\) | 1.64930 | − | 2.85667i | 0.0802867 | − | 0.139061i | ||||
\(423\) | 19.2875 | + | 33.4069i | 0.937788 | + | 1.62430i | ||||
\(424\) | 4.17617 | − | 7.23335i | 0.202813 | − | 0.351282i | ||||
\(425\) | −1.97771 | −0.0959331 | ||||||||
\(426\) | −36.0993 | −1.74901 | ||||||||
\(427\) | −1.58512 | + | 2.74551i | −0.0767094 | + | 0.132865i | ||||
\(428\) | 0.945622 | − | 1.63787i | 0.0457084 | − | 0.0791692i | ||||
\(429\) | 16.5030 | 0.796772 | ||||||||
\(430\) | −4.62267 | −0.222925 | ||||||||
\(431\) | 19.1532 | − | 33.1743i | 0.922576 | − | 1.59795i | 0.127161 | − | 0.991882i | \(-0.459413\pi\) |
0.795414 | − | 0.606066i | \(-0.207253\pi\) | |||||||
\(432\) | −11.8610 | − | 20.5438i | −0.570661 | − | 0.988414i | ||||
\(433\) | 9.06552 | − | 15.7019i | 0.435661 | − | 0.754587i | −0.561688 | − | 0.827349i | \(-0.689848\pi\) |
0.997349 | + | 0.0727617i | \(0.0231813\pi\) | |||||||
\(434\) | −1.66250 | − | 2.87954i | −0.0798027 | − | 0.138222i | ||||
\(435\) | −8.70961 | − | 15.0855i | −0.417594 | − | 0.723294i | ||||
\(436\) | 0.336867 | 0.0161330 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 5.38919 | 0.257505 | ||||||||
\(439\) | 3.04529 | + | 5.27460i | 0.145344 | + | 0.251743i | 0.929501 | − | 0.368819i | \(-0.120238\pi\) |
−0.784157 | + | 0.620562i | \(0.786904\pi\) | |||||||
\(440\) | 2.88191 | + | 4.99162i | 0.137390 | + | 0.237966i | ||||
\(441\) | 18.1989 | − | 31.5215i | 0.866616 | − | 1.50102i | ||||
\(442\) | 0.811337 | + | 1.40528i | 0.0385914 | + | 0.0668422i | ||||
\(443\) | 14.9466 | − | 25.8882i | 0.710132 | − | 1.22999i | −0.254675 | − | 0.967027i | \(-0.581968\pi\) |
0.964807 | − | 0.262958i | \(-0.0846982\pi\) | |||||||
\(444\) | 2.63041 | 0.124834 | ||||||||
\(445\) | −9.04963 | −0.428994 | ||||||||
\(446\) | −5.73261 | + | 9.92917i | −0.271447 | + | 0.470160i | ||||
\(447\) | 23.8405 | − | 41.2929i | 1.12762 | − | 1.95309i | ||||
\(448\) | 2.98545 | 0.141049 | ||||||||
\(449\) | −11.2499 | −0.530916 | −0.265458 | − | 0.964122i | \(-0.585523\pi\) | ||||
−0.265458 | + | 0.964122i | \(0.585523\pi\) | |||||||
\(450\) | −15.0646 | + | 26.0927i | −0.710154 | + | 1.23002i | ||||
\(451\) | 2.75624 | + | 4.77396i | 0.129786 | + | 0.224797i | ||||
\(452\) | −1.63429 | + | 2.83067i | −0.0768703 | + | 0.133143i | ||||
\(453\) | −6.27972 | − | 10.8768i | −0.295047 | − | 0.511036i | ||||
\(454\) | −9.53256 | − | 16.5109i | −0.447385 | − | 0.774894i | ||||
\(455\) | 0.786112 | 0.0368535 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −23.3901 | −1.09414 | −0.547072 | − | 0.837086i | \(-0.684258\pi\) | ||||
−0.547072 | + | 0.837086i | \(0.684258\pi\) | |||||||
\(458\) | −13.8320 | − | 23.9578i | −0.646328 | − | 1.11947i | ||||
\(459\) | 1.54323 | + | 2.67296i | 0.0720320 | + | 0.124763i | ||||
\(460\) | −0.218941 | + | 0.379217i | −0.0102082 | + | 0.0176811i | ||||
\(461\) | 18.3118 | + | 31.7170i | 0.852866 | + | 1.47721i | 0.878611 | + | 0.477538i | \(0.158471\pi\) |
−0.0257452 | + | 0.999669i | \(0.508196\pi\) | |||||||
\(462\) | 1.50000 | − | 2.59808i | 0.0697863 | − | 0.120873i | ||||
\(463\) | −42.9864 | −1.99775 | −0.998873 | − | 0.0474549i | \(-0.984889\pi\) | ||||
−0.998873 | + | 0.0474549i | \(0.984889\pi\) | |||||||
\(464\) | 24.7401 | 1.14853 | ||||||||
\(465\) | −8.99660 | + | 15.5826i | −0.417207 | + | 0.722624i | ||||
\(466\) | 11.8905 | − | 20.5950i | 0.550818 | − | 0.954045i | ||||
\(467\) | 25.5963 | 1.18445 | 0.592227 | − | 0.805771i | \(-0.298249\pi\) | ||||
0.592227 | + | 0.805771i | \(0.298249\pi\) | |||||||
\(468\) | −2.51661 | −0.116330 | ||||||||
\(469\) | −1.33275 | + | 2.30839i | −0.0615406 | + | 0.106591i | ||||
\(470\) | −4.31908 | − | 7.48086i | −0.199224 | − | 0.345066i | ||||
\(471\) | −13.8478 | + | 23.9850i | −0.638071 | + | 1.10517i | ||||
\(472\) | 9.28018 | + | 16.0737i | 0.427155 | + | 0.739854i | ||||
\(473\) | 4.34389 | + | 7.52384i | 0.199732 | + | 0.345947i | ||||
\(474\) | −45.9522 | −2.11066 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −0.0300295 | −0.00137640 | ||||||||
\(477\) | 7.50640 | + | 13.0015i | 0.343694 | + | 0.595296i | ||||
\(478\) | 1.58466 | + | 2.74470i | 0.0724805 | + | 0.125540i | ||||
\(479\) | −19.0881 | + | 33.0616i | −0.872158 | + | 1.51062i | −0.0123988 | + | 0.999923i | \(0.503947\pi\) |
−0.859759 | + | 0.510699i | \(0.829387\pi\) | |||||||
\(480\) | −1.31908 | − | 2.28471i | −0.0602074 | − | 0.104282i | ||||
\(481\) | −6.36231 | + | 11.0198i | −0.290096 | + | 0.502462i | ||||
\(482\) | −18.5936 | −0.846914 | ||||||||
\(483\) | 2.69459 | 0.122608 | ||||||||
\(484\) | −0.558248 | + | 0.966914i | −0.0253749 | + | 0.0439506i | ||||
\(485\) | −4.15657 | + | 7.19940i | −0.188740 | + | 0.326908i | ||||
\(486\) | −14.5553 | −0.660242 | ||||||||
\(487\) | 7.76382 | 0.351812 | 0.175906 | − | 0.984407i | \(-0.443714\pi\) | ||||
0.175906 | + | 0.984407i | \(0.443714\pi\) | |||||||
\(488\) | −13.4349 | + | 23.2700i | −0.608171 | + | 1.05338i | ||||
\(489\) | 12.0287 | + | 20.8343i | 0.543956 | + | 0.942159i | ||||
\(490\) | −4.07532 | + | 7.05866i | −0.184104 | + | 0.318878i | ||||
\(491\) | 18.3614 | + | 31.8029i | 0.828640 | + | 1.43525i | 0.899105 | + | 0.437732i | \(0.144218\pi\) |
−0.0704655 | + | 0.997514i | \(0.522448\pi\) | |||||||
\(492\) | −0.658633 | − | 1.14079i | −0.0296935 | − | 0.0514306i | ||||
\(493\) | −3.21894 | −0.144974 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −10.3601 | −0.465651 | ||||||||
\(496\) | −12.7777 | − | 22.1315i | −0.573734 | − | 0.993736i | ||||
\(497\) | 1.61587 | + | 2.79876i | 0.0724815 | + | 0.125542i | ||||
\(498\) | 28.7670 | − | 49.8259i | 1.28908 | − | 2.23275i | ||||
\(499\) | −2.46316 | − | 4.26632i | −0.110266 | − | 0.190987i | 0.805611 | − | 0.592444i | \(-0.201837\pi\) |
−0.915878 | + | 0.401458i | \(0.868504\pi\) | |||||||
\(500\) | −0.749686 | + | 1.29849i | −0.0335270 | + | 0.0580704i | ||||
\(501\) | −11.6186 | −0.519079 | ||||||||
\(502\) | 5.61175 | 0.250465 | ||||||||
\(503\) | −16.4748 | + | 28.5351i | −0.734574 | + | 1.27232i | 0.220336 | + | 0.975424i | \(0.429285\pi\) |
−0.954910 | + | 0.296895i | \(0.904049\pi\) | |||||||
\(504\) | −2.70439 | + | 4.68415i | −0.120463 | + | 0.208648i | ||||
\(505\) | −8.13341 | −0.361932 | ||||||||
\(506\) | −8.08378 | −0.359368 | ||||||||
\(507\) | −9.17752 | + | 15.8959i | −0.407588 | + | 0.705963i | ||||
\(508\) | 1.07217 | + | 1.85705i | 0.0475697 | + | 0.0823932i | ||||
\(509\) | 18.4675 | − | 31.9866i | 0.818558 | − | 1.41778i | −0.0881874 | − | 0.996104i | \(-0.528107\pi\) |
0.906745 | − | 0.421679i | \(-0.138559\pi\) | |||||||
\(510\) | −0.798133 | − | 1.38241i | −0.0353419 | − | 0.0612140i | ||||
\(511\) | −0.241230 | − | 0.417822i | −0.0106714 | − | 0.0184833i | ||||
\(512\) | 24.9186 | 1.10126 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.898986 | −0.0396526 | ||||||||
\(515\) | 2.42262 | + | 4.19610i | 0.106753 | + | 0.184902i | ||||
\(516\) | −1.03802 | − | 1.79790i | −0.0456962 | − | 0.0791482i | ||||
\(517\) | −8.11721 | + | 14.0594i | −0.356995 | + | 0.618333i | ||||
\(518\) | 1.15657 | + | 2.00324i | 0.0508169 | + | 0.0880175i | ||||
\(519\) | −29.0009 | + | 50.2311i | −1.27300 | + | 2.20490i | ||||
\(520\) | 6.66281 | 0.292183 | ||||||||
\(521\) | 9.29179 | 0.407081 | 0.203540 | − | 0.979067i | \(-0.434755\pi\) | ||||
0.203540 | + | 0.979067i | \(0.434755\pi\) | |||||||
\(522\) | −24.5194 | + | 42.4688i | −1.07318 | + | 1.85881i | ||||
\(523\) | 14.2075 | − | 24.6082i | 0.621253 | − | 1.07604i | −0.368000 | − | 0.929826i | \(-0.619957\pi\) |
0.989253 | − | 0.146215i | \(-0.0467093\pi\) | |||||||
\(524\) | −0.340986 | −0.0148960 | ||||||||
\(525\) | 4.22668 | 0.184468 | ||||||||
\(526\) | 7.67933 | − | 13.3010i | 0.334835 | − | 0.579951i | ||||
\(527\) | 1.66250 | + | 2.87954i | 0.0724198 | + | 0.125435i | ||||
\(528\) | 11.5287 | − | 19.9683i | 0.501722 | − | 0.869007i | ||||
\(529\) | 7.86959 | + | 13.6305i | 0.342156 | + | 0.592631i | ||||
\(530\) | −1.68092 | − | 2.91144i | −0.0730146 | − | 0.126465i | ||||
\(531\) | −33.3610 | −1.44775 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 6.37227 | 0.276014 | ||||||||
\(534\) | 19.9611 | + | 34.5736i | 0.863801 | + | 1.49615i | ||||
\(535\) | −4.50000 | − | 7.79423i | −0.194552 | − | 0.336974i | ||||
\(536\) | −11.2959 | + | 19.5651i | −0.487909 | + | 0.845083i | ||||
\(537\) | −16.5744 | − | 28.7078i | −0.715240 | − | 1.23883i | ||||
\(538\) | 13.0621 | − | 22.6243i | 0.563148 | − | 0.975401i | ||||
\(539\) | 15.3182 | 0.659802 | ||||||||
\(540\) | 1.07192 | 0.0461280 | ||||||||
\(541\) | −7.49273 | + | 12.9778i | −0.322137 | + | 0.557958i | −0.980929 | − | 0.194367i | \(-0.937735\pi\) |
0.658791 | + | 0.752326i | \(0.271068\pi\) | |||||||
\(542\) | −9.02300 | + | 15.6283i | −0.387571 | + | 0.671293i | ||||
\(543\) | −24.5817 | −1.05490 | ||||||||
\(544\) | −0.487511 | −0.0209019 | ||||||||
\(545\) | 0.801537 | − | 1.38830i | 0.0343341 | − | 0.0594684i | ||||
\(546\) | −1.73396 | − | 3.00330i | −0.0742064 | − | 0.128529i | ||||
\(547\) | 1.94356 | − | 3.36635i | 0.0831008 | − | 0.143935i | −0.821480 | − | 0.570238i | \(-0.806851\pi\) |
0.904580 | + | 0.426303i | \(0.140184\pi\) | |||||||
\(548\) | 0.0236329 | + | 0.0409333i | 0.00100955 | + | 0.00174859i | ||||
\(549\) | −24.1484 | − | 41.8263i | −1.03063 | − | 1.78510i | ||||
\(550\) | −12.6800 | −0.540679 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 22.8384 | 0.972068 | ||||||||
\(553\) | 2.05690 | + | 3.56266i | 0.0874684 | + | 0.151500i | ||||
\(554\) | 11.9552 | + | 20.7070i | 0.507927 | + | 0.879755i | ||||
\(555\) | 6.25877 | − | 10.8405i | 0.265670 | − | 0.460154i | ||||
\(556\) | 0.393933 | + | 0.682312i | 0.0167065 | + | 0.0289365i | ||||
\(557\) | −6.60220 | + | 11.4353i | −0.279744 | + | 0.484531i | −0.971321 | − | 0.237772i | \(-0.923583\pi\) |
0.691577 | + | 0.722303i | \(0.256916\pi\) | |||||||
\(558\) | 50.6546 | 2.14438 | ||||||||
\(559\) | 10.0428 | 0.424766 | ||||||||
\(560\) | 0.549163 | − | 0.951178i | 0.0232064 | − | 0.0401946i | ||||
\(561\) | −1.50000 | + | 2.59808i | −0.0633300 | + | 0.109691i | ||||
\(562\) | −24.6272 | −1.03884 | ||||||||
\(563\) | 10.7128 | 0.451489 | 0.225745 | − | 0.974187i | \(-0.427519\pi\) | ||||
0.225745 | + | 0.974187i | \(0.427519\pi\) | |||||||
\(564\) | 1.93969 | − | 3.35965i | 0.0816758 | − | 0.141467i | ||||
\(565\) | 7.77719 | + | 13.4705i | 0.327189 | + | 0.566708i | ||||
\(566\) | 5.17886 | − | 8.97005i | 0.217684 | − | 0.377039i | ||||
\(567\) | −0.541889 | − | 0.938579i | −0.0227572 | − | 0.0394166i | ||||
\(568\) | 13.6955 | + | 23.7213i | 0.574652 | + | 0.995326i | ||||
\(569\) | −13.4706 | −0.564717 | −0.282358 | − | 0.959309i | \(-0.591117\pi\) | ||||
−0.282358 | + | 0.959309i | \(0.591117\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.6655 | 0.530035 | 0.265017 | − | 0.964244i | \(-0.414622\pi\) | ||||
0.265017 | + | 0.964244i | \(0.414622\pi\) | |||||||
\(572\) | −0.529563 | − | 0.917229i | −0.0221421 | − | 0.0383513i | ||||
\(573\) | 26.3974 | + | 45.7216i | 1.10277 | + | 1.91005i | ||||
\(574\) | 0.579193 | − | 1.00319i | 0.0241750 | − | 0.0418724i | ||||
\(575\) | −5.69459 | − | 9.86332i | −0.237481 | − | 0.411329i | ||||
\(576\) | −22.7408 | + | 39.3883i | −0.947534 | + | 1.64118i | ||||
\(577\) | −10.5544 | −0.439384 | −0.219692 | − | 0.975569i | \(-0.570505\pi\) | ||||
−0.219692 | + | 0.975569i | \(0.570505\pi\) | |||||||
\(578\) | 22.6091 | 0.940413 | ||||||||
\(579\) | 0.428548 | − | 0.742267i | 0.0178099 | − | 0.0308476i | ||||
\(580\) | −0.558963 | + | 0.968153i | −0.0232097 | + | 0.0402004i | ||||
\(581\) | −5.15064 | −0.213685 | ||||||||
\(582\) | 36.6732 | 1.52015 | ||||||||
\(583\) | −3.15910 | + | 5.47172i | −0.130837 | + | 0.226616i | ||||
\(584\) | −2.04458 | − | 3.54131i | −0.0846052 | − | 0.146541i | ||||
\(585\) | −5.98798 | + | 10.3715i | −0.247572 | + | 0.428808i | ||||
\(586\) | −7.07532 | − | 12.2548i | −0.292279 | − | 0.506242i | ||||
\(587\) | 9.57738 | + | 16.5885i | 0.395301 | + | 0.684681i | 0.993140 | − | 0.116935i | \(-0.0373070\pi\) |
−0.597839 | + | 0.801616i | \(0.703974\pi\) | |||||||
\(588\) | −3.66044 | −0.150954 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 7.47060 | 0.307560 | ||||||||
\(591\) | 18.9192 | + | 32.7690i | 0.778233 | + | 1.34794i | ||||
\(592\) | 8.88919 | + | 15.3965i | 0.365343 | + | 0.632793i | ||||
\(593\) | 4.34730 | − | 7.52974i | 0.178522 | − | 0.309209i | −0.762852 | − | 0.646573i | \(-0.776202\pi\) |
0.941375 | + | 0.337363i | \(0.109535\pi\) | |||||||
\(594\) | 9.89440 | + | 17.1376i | 0.405972 | + | 0.703164i | ||||
\(595\) | −0.0714517 | + | 0.123758i | −0.00292924 | + | 0.00507358i | ||||
\(596\) | −3.06006 | −0.125345 | ||||||||
\(597\) | 0.739170 | 0.0302522 | ||||||||
\(598\) | −4.67230 | + | 8.09267i | −0.191065 | + | 0.330934i | ||||
\(599\) | −9.91581 | + | 17.1747i | −0.405149 | + | 0.701739i | −0.994339 | − | 0.106256i | \(-0.966114\pi\) |
0.589190 | + | 0.807995i | \(0.299447\pi\) | |||||||
\(600\) | 35.8239 | 1.46250 | ||||||||
\(601\) | −33.7615 | −1.37716 | −0.688579 | − | 0.725161i | \(-0.741765\pi\) | ||||
−0.688579 | + | 0.725161i | \(0.741765\pi\) | |||||||
\(602\) | 0.912818 | − | 1.58105i | 0.0372037 | − | 0.0644387i | ||||
\(603\) | −20.3037 | − | 35.1670i | −0.826829 | − | 1.43211i | ||||
\(604\) | −0.403018 | + | 0.698048i | −0.0163986 | + | 0.0284032i | ||||
\(605\) | 2.65657 | + | 4.60132i | 0.108005 | + | 0.187070i | ||||
\(606\) | 17.9402 | + | 31.0733i | 0.728769 | + | 1.26227i | ||||
\(607\) | 35.2850 | 1.43217 | 0.716087 | − | 0.698011i | \(-0.245932\pi\) | ||||
0.716087 | + | 0.698011i | \(0.245932\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 6.87939 | 0.278767 | ||||||||
\(610\) | 5.40760 | + | 9.36624i | 0.218947 | + | 0.379228i | ||||
\(611\) | 9.38326 | + | 16.2523i | 0.379606 | + | 0.657497i | ||||
\(612\) | 0.228741 | − | 0.396191i | 0.00924631 | − | 0.0160151i | ||||
\(613\) | −9.22668 | − | 15.9811i | −0.372662 | − | 0.645470i | 0.617312 | − | 0.786718i | \(-0.288222\pi\) |
−0.989974 | + | 0.141249i | \(0.954888\pi\) | |||||||
\(614\) | −7.87867 | + | 13.6463i | −0.317957 | + | 0.550718i | ||||
\(615\) | −6.26857 | −0.252773 | ||||||||
\(616\) | −2.27631 | −0.0917152 | ||||||||
\(617\) | 17.8427 | − | 30.9045i | 0.718320 | − | 1.24417i | −0.243344 | − | 0.969940i | \(-0.578244\pi\) |
0.961665 | − | 0.274228i | \(-0.0884222\pi\) | |||||||
\(618\) | 10.6873 | − | 18.5110i | 0.429907 | − | 0.744621i | ||||
\(619\) | 3.65951 | 0.147088 | 0.0735441 | − | 0.997292i | \(-0.476569\pi\) | ||||
0.0735441 | + | 0.997292i | \(0.476569\pi\) | |||||||
\(620\) | 1.15476 | 0.0463764 | ||||||||
\(621\) | −8.88713 | + | 15.3930i | −0.356628 | + | 0.617698i | ||||
\(622\) | 10.7554 | + | 18.6288i | 0.431251 | + | 0.746949i | ||||
\(623\) | 1.78699 | − | 3.09516i | 0.0715942 | − | 0.124005i | ||||
\(624\) | −13.3268 | − | 23.0827i | −0.533500 | − | 0.924049i | ||||
\(625\) | −6.99912 | − | 12.1228i | −0.279965 | − | 0.484913i | ||||
\(626\) | 35.8767 | 1.43392 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.77744 | 0.0709275 | ||||||||
\(629\) | −1.15657 | − | 2.00324i | −0.0461156 | − | 0.0798746i | ||||
\(630\) | 1.08853 | + | 1.88538i | 0.0433679 | + | 0.0751154i | ||||
\(631\) | 0.396926 | − | 0.687496i | 0.0158014 | − | 0.0273688i | −0.858017 | − | 0.513622i | \(-0.828303\pi\) |
0.873818 | + | 0.486253i | \(0.161637\pi\) | |||||||
\(632\) | 17.4336 | + | 30.1959i | 0.693471 | + | 1.20113i | ||||
\(633\) | 3.52481 | − | 6.10516i | 0.140099 | − | 0.242658i | ||||
\(634\) | −39.7885 | −1.58020 | ||||||||
\(635\) | 10.2044 | 0.404949 | ||||||||
\(636\) | 0.754900 | − | 1.30753i | 0.0299337 | − | 0.0518468i | ||||
\(637\) | 8.85369 | − | 15.3350i | 0.350796 | − | 0.607597i | ||||
\(638\) | −20.6382 | −0.817072 | ||||||||
\(639\) | −49.2336 | −1.94765 | ||||||||
\(640\) | 4.17617 | − | 7.23335i | 0.165078 | − | 0.285923i | ||||
\(641\) | −14.6912 | − | 25.4459i | −0.580267 | − | 1.00505i | −0.995447 | − | 0.0953129i | \(-0.969615\pi\) |
0.415180 | − | 0.909739i | \(-0.363719\pi\) | |||||||
\(642\) | −19.8516 | + | 34.3840i | −0.783481 | + | 1.35703i | ||||
\(643\) | −11.1069 | − | 19.2378i | −0.438015 | − | 0.758664i | 0.559521 | − | 0.828816i | \(-0.310985\pi\) |
−0.997536 | + | 0.0701516i | \(0.977652\pi\) | |||||||
\(644\) | −0.0864665 | − | 0.149764i | −0.00340726 | − | 0.00590154i | ||||
\(645\) | −9.87939 | −0.389000 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 11.2591 | 0.442640 | 0.221320 | − | 0.975201i | \(-0.428963\pi\) | ||||
0.221320 | + | 0.975201i | \(0.428963\pi\) | |||||||
\(648\) | −4.59286 | − | 7.95507i | −0.180425 | − | 0.312505i | ||||
\(649\) | −7.02007 | − | 12.1591i | −0.275562 | − | 0.477287i | ||||
\(650\) | −7.32888 | + | 12.6940i | −0.287462 | + | 0.497899i | ||||
\(651\) | −3.55303 | − | 6.15403i | −0.139254 | − | 0.241196i | ||||
\(652\) | 0.771974 | − | 1.33710i | 0.0302328 | − | 0.0523648i | ||||
\(653\) | 27.0000 | 1.05659 | 0.528296 | − | 0.849060i | \(-0.322831\pi\) | ||||
0.528296 | + | 0.849060i | \(0.322831\pi\) | |||||||
\(654\) | −7.07192 | −0.276534 | ||||||||
\(655\) | −0.811337 | + | 1.40528i | −0.0317016 | + | 0.0549087i | ||||
\(656\) | 4.45155 | − | 7.71031i | 0.173804 | − | 0.301037i | ||||
\(657\) | 7.34998 | 0.286750 | ||||||||
\(658\) | 3.41147 | 0.132993 | ||||||||
\(659\) | −14.0130 | + | 24.2712i | −0.545867 | + | 0.945470i | 0.452685 | + | 0.891671i | \(0.350466\pi\) |
−0.998552 | + | 0.0537991i | \(0.982867\pi\) | |||||||
\(660\) | 0.520945 | + | 0.902302i | 0.0202777 | + | 0.0351221i | ||||
\(661\) | −5.68392 | + | 9.84483i | −0.221079 | + | 0.382920i | −0.955136 | − | 0.296168i | \(-0.904291\pi\) |
0.734057 | + | 0.679088i | \(0.237624\pi\) | |||||||
\(662\) | 18.6368 | + | 32.2799i | 0.724340 | + | 1.25459i | ||||
\(663\) | 1.73396 | + | 3.00330i | 0.0673413 | + | 0.116638i | ||||
\(664\) | −43.6551 | −1.69415 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −35.2395 | −1.36550 | ||||||||
\(667\) | −9.26857 | − | 16.0536i | −0.358880 | − | 0.621599i | ||||
\(668\) | 0.372827 | + | 0.645754i | 0.0144251 | + | 0.0249850i | ||||
\(669\) | −12.2515 | + | 21.2202i | −0.473670 | + | 0.820421i | ||||
\(670\) | 4.54664 | + | 7.87501i | 0.175652 | + | 0.304238i | ||||
\(671\) | 10.1630 | − | 17.6028i | 0.392337 | − | 0.679548i | ||||
\(672\) | 1.04189 | 0.0401917 | ||||||||
\(673\) | −16.5672 | −0.638618 | −0.319309 | − | 0.947651i | \(-0.603451\pi\) | ||||
−0.319309 | + | 0.947651i | \(0.603451\pi\) | |||||||
\(674\) | 12.0312 | − | 20.8387i | 0.463425 | − | 0.802676i | ||||
\(675\) | −13.9402 | + | 24.1451i | −0.536557 | + | 0.929344i | ||||
\(676\) | 1.17799 | 0.0453071 | ||||||||
\(677\) | −9.04963 | −0.347806 | −0.173903 | − | 0.984763i | \(-0.555638\pi\) | ||||
−0.173903 | + | 0.984763i | \(0.555638\pi\) | |||||||
\(678\) | 34.3089 | − | 59.4247i | 1.31762 | − | 2.28219i | ||||
\(679\) | −1.64156 | − | 2.84326i | −0.0629973 | − | 0.109114i | ||||
\(680\) | −0.605600 | + | 1.04893i | −0.0232237 | + | 0.0402246i | ||||
\(681\) | −20.3726 | − | 35.2863i | −0.780679 | − | 1.35218i | ||||
\(682\) | 10.6591 | + | 18.4621i | 0.408158 | + | 0.706950i | ||||
\(683\) | 8.73143 | 0.334099 | 0.167049 | − | 0.985949i | \(-0.446576\pi\) | ||||
0.167049 | + | 0.985949i | \(0.446576\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.224927 | 0.00859402 | ||||||||
\(686\) | −3.24716 | − | 5.62424i | −0.123977 | − | 0.214735i | ||||
\(687\) | −29.5612 | − | 51.2016i | −1.12783 | − | 1.95346i | ||||
\(688\) | 7.01573 | − | 12.1516i | 0.267472 | − | 0.463275i | ||||
\(689\) | 3.65183 | + | 6.32515i | 0.139124 | + | 0.240969i | ||||
\(690\) | 4.59627 | − | 7.96097i | 0.174977 | − | 0.303069i | ||||
\(691\) | 34.7202 | 1.32082 | 0.660409 | − | 0.750906i | \(-0.270383\pi\) | ||||
0.660409 | + | 0.750906i | \(0.270383\pi\) | |||||||
\(692\) | 3.72243 | 0.141506 | ||||||||
\(693\) | 2.04576 | − | 3.54336i | 0.0777120 | − | 0.134601i | ||||
\(694\) | −3.90760 | + | 6.76817i | −0.148331 | + | 0.256916i | ||||
\(695\) | 3.74928 | 0.142218 | ||||||||
\(696\) | 58.3073 | 2.21013 | ||||||||
\(697\) | −0.579193 | + | 1.00319i | −0.0219385 | + | 0.0379986i | ||||
\(698\) | 3.61902 | + | 6.26833i | 0.136982 | + | 0.237260i | ||||
\(699\) | 25.4119 | − | 44.0148i | 0.961168 | − | 1.66479i | ||||
\(700\) | −0.135630 | − | 0.234917i | −0.00512631 | − | 0.00887904i | ||||
\(701\) | −19.7075 | − | 34.1345i | −0.744344 | − | 1.28924i | −0.950501 | − | 0.310722i | \(-0.899429\pi\) |
0.206157 | − | 0.978519i | \(-0.433904\pi\) | |||||||
\(702\) | 22.8753 | 0.863371 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −19.1411 | −0.721409 | ||||||||
\(705\) | −9.23055 | − | 15.9878i | −0.347643 | − | 0.602135i | ||||
\(706\) | −16.9991 | − | 29.4433i | −0.639770 | − | 1.10811i | ||||
\(707\) | 1.60607 | − | 2.78179i | 0.0604024 | − | 0.104620i | ||||
\(708\) | 1.67752 | + | 2.90555i | 0.0630450 | + | 0.109197i | ||||
\(709\) | 20.5608 | − | 35.6123i | 0.772176 | − | 1.33745i | −0.164192 | − | 0.986428i | \(-0.552502\pi\) |
0.936368 | − | 0.351020i | \(-0.114165\pi\) | |||||||
\(710\) | 11.0250 | 0.413760 | ||||||||
\(711\) | −62.6715 | −2.35036 | ||||||||
\(712\) | 15.1459 | − | 26.2335i | 0.567616 | − | 0.983141i | ||||
\(713\) | −9.57398 | + | 16.5826i | −0.358548 | + | 0.621024i | ||||
\(714\) | 0.630415 | 0.0235927 | ||||||||
\(715\) | −5.04013 | −0.188490 | ||||||||
\(716\) | −1.06371 | + | 1.84240i | −0.0397527 | + | 0.0688538i | ||||
\(717\) | 3.38666 | + | 5.86587i | 0.126477 | + | 0.219065i | ||||
\(718\) | 4.50459 | − | 7.80217i | 0.168110 | − | 0.291174i | ||||
\(719\) | 21.1977 | + | 36.7156i | 0.790543 | + | 1.36926i | 0.925631 | + | 0.378426i | \(0.123535\pi\) |
−0.135089 | + | 0.990834i | \(0.543132\pi\) | |||||||
\(720\) | 8.36618 | + | 14.4907i | 0.311789 | + | 0.540035i | ||||
\(721\) | −1.91353 | −0.0712637 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −39.7374 | −1.47785 | ||||||||
\(724\) | 0.788800 | + | 1.36624i | 0.0293155 | + | 0.0507760i | ||||
\(725\) | −14.5385 | − | 25.1814i | −0.539946 | − | 0.935214i | ||||
\(726\) | 11.7194 | − | 20.2986i | 0.434948 | − | 0.753352i | ||||
\(727\) | −25.8282 | − | 44.7357i | −0.957914 | − | 1.65915i | −0.727555 | − | 0.686049i | \(-0.759344\pi\) |
−0.230358 | − | 0.973106i | \(-0.573990\pi\) | |||||||
\(728\) | −1.31567 | + | 2.27881i | −0.0487621 | + | 0.0844585i | ||||
\(729\) | −40.4688 | −1.49885 | ||||||||
\(730\) | −1.64590 | −0.0609174 | ||||||||
\(731\) | −0.912818 | + | 1.58105i | −0.0337618 | + | 0.0584772i | ||||
\(732\) | −2.42855 | + | 4.20637i | −0.0897617 | + | 0.155472i | ||||
\(733\) | −22.9162 | −0.846430 | −0.423215 | − | 0.906029i | \(-0.639098\pi\) | ||||
−0.423215 | + | 0.906029i | \(0.639098\pi\) | |||||||
\(734\) | −10.9385 | −0.403748 | ||||||||
\(735\) | −8.70961 | + | 15.0855i | −0.321259 | + | 0.556436i | ||||
\(736\) | −1.40373 | − | 2.43134i | −0.0517423 | − | 0.0896203i | ||||
\(737\) | 8.54488 | − | 14.8002i | 0.314755 | − | 0.545171i | ||||
\(738\) | 8.82366 | + | 15.2830i | 0.324804 | + | 0.562576i | ||||
\(739\) | −14.0633 | − | 24.3584i | −0.517327 | − | 0.896036i | −0.999797 | − | 0.0201243i | \(-0.993594\pi\) |
0.482471 | − | 0.875912i | \(-0.339740\pi\) | |||||||
\(740\) | −0.803348 | −0.0295317 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.32770 | 0.0487413 | ||||||||
\(743\) | −3.06624 | − | 5.31088i | −0.112489 | − | 0.194837i | 0.804284 | − | 0.594245i | \(-0.202549\pi\) |
−0.916773 | + | 0.399408i | \(0.869216\pi\) | |||||||
\(744\) | −30.1143 | − | 52.1595i | −1.10404 | − | 1.91226i | ||||
\(745\) | −7.28106 | + | 12.6112i | −0.266757 | + | 0.462037i | ||||
\(746\) | 23.5087 | + | 40.7182i | 0.860714 | + | 1.49080i | ||||
\(747\) | 39.2335 | − | 67.9545i | 1.43548 | − | 2.48632i | ||||
\(748\) | 0.192533 | 0.00703972 | ||||||||
\(749\) | 3.55438 | 0.129874 | ||||||||
\(750\) | 15.7383 | − | 27.2595i | 0.574681 | − | 0.995377i | ||||
\(751\) | −2.82042 | + | 4.88511i | −0.102919 | + | 0.178260i | −0.912886 | − | 0.408215i | \(-0.866151\pi\) |
0.809967 | + | 0.586475i | \(0.199485\pi\) | |||||||
\(752\) | 26.2199 | 0.956140 | ||||||||
\(753\) | 11.9932 | 0.437056 | ||||||||
\(754\) | −11.9285 | + | 20.6609i | −0.434412 | + | 0.752424i | ||||
\(755\) | 1.91787 | + | 3.32185i | 0.0697985 | + | 0.120894i | ||||
\(756\) | −0.211667 | + | 0.366618i | −0.00769825 | + | 0.0133338i | ||||
\(757\) | −7.84595 | − | 13.5896i | −0.285166 | − | 0.493922i | 0.687483 | − | 0.726200i | \(-0.258715\pi\) |
−0.972649 | + | 0.232278i | \(0.925382\pi\) | |||||||
\(758\) | 1.14614 | + | 1.98518i | 0.0416299 | + | 0.0721050i | ||||
\(759\) | −17.2763 | −0.627090 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 4.86484 | 0.176350 | 0.0881751 | − | 0.996105i | \(-0.471896\pi\) | ||||
0.0881751 | + | 0.996105i | \(0.471896\pi\) | |||||||
\(762\) | −22.5082 | − | 38.9854i | −0.815386 | − | 1.41229i | ||||
\(763\) | 0.316552 | + | 0.548284i | 0.0114599 | + | 0.0198492i | ||||
\(764\) | 1.69413 | − | 2.93431i | 0.0612913 | − | 0.106160i | ||||
\(765\) | −1.08853 | − | 1.88538i | −0.0393557 | − | 0.0681661i | ||||
\(766\) | 1.97834 | − | 3.42659i | 0.0714803 | − | 0.123808i | ||||
\(767\) | −16.2300 | −0.586031 | ||||||||
\(768\) | 12.6578 | 0.456747 | ||||||||
\(769\) | −11.2660 | + | 19.5134i | −0.406264 | + | 0.703670i | −0.994468 | − | 0.105043i | \(-0.966502\pi\) |
0.588204 | + | 0.808713i | \(0.299835\pi\) | |||||||
\(770\) | −0.458111 | + | 0.793471i | −0.0165092 | + | 0.0285947i | ||||
\(771\) | −1.92127 | −0.0691930 | ||||||||
\(772\) | −0.0550065 | −0.00197973 | ||||||||
\(773\) | 13.2160 | − | 22.8908i | 0.475347 | − | 0.823325i | −0.524255 | − | 0.851562i | \(-0.675656\pi\) |
0.999601 | + | 0.0282370i | \(0.00898933\pi\) | |||||||
\(774\) | 13.9063 | + | 24.0863i | 0.499850 | + | 0.865766i | ||||
\(775\) | −15.0175 | + | 26.0111i | −0.539446 | + | 0.934348i | ||||
\(776\) | −13.9133 | − | 24.0985i | −0.499458 | − | 0.865086i | ||||
\(777\) | 2.47178 | + | 4.28125i | 0.0886747 | + | 0.153589i | ||||
\(778\) | 33.0993 | 1.18667 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 1.20439 | 0.0431242 | ||||||||
\(781\) | −10.3601 | − | 17.9442i | −0.370713 | − | 0.642094i | ||||
\(782\) | −0.849356 | − | 1.47113i | −0.0303729 | − | 0.0526074i | ||||
\(783\) | −22.6891 | + | 39.2987i | −0.810843 | + | 1.40442i | ||||
\(784\) | −12.3701 | − | 21.4256i | −0.441788 | − | 0.765199i | ||||
\(785\) | 4.22921 | − | 7.32520i | 0.150947 | − | 0.261448i | ||||
\(786\) | 7.15839 | 0.255331 | ||||||||
\(787\) | −15.5577 | −0.554571 | −0.277286 | − | 0.960788i | \(-0.589435\pi\) | ||||
−0.277286 | + | 0.960788i | \(0.589435\pi\) | |||||||
\(788\) | 1.21419 | − | 2.10304i | 0.0432538 | − | 0.0749178i | ||||
\(789\) | 16.4119 | − | 28.4263i | 0.584281 | − | 1.01200i | ||||
\(790\) | 14.0341 | 0.499313 | ||||||||
\(791\) | −6.14290 | −0.218417 | ||||||||
\(792\) | 17.3391 | − | 30.0323i | 0.616120 | − | 1.06715i | ||||
\(793\) | −11.7481 | − | 20.3483i | −0.417187 | − | 0.722589i | ||||
\(794\) | −21.4461 | + | 37.1457i | −0.761093 | + | 1.31825i | ||||
\(795\) | −3.59240 | − | 6.22221i | −0.127409 | − | 0.220679i | ||||
\(796\) | −0.0237191 | − | 0.0410828i | −0.000840703 | − | 0.00145614i | ||||
\(797\) | 33.4935 | 1.18640 | 0.593200 | − | 0.805055i | \(-0.297864\pi\) | ||||
0.593200 | + | 0.805055i | \(0.297864\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.41147 | −0.120689 | ||||||||
\(800\) | −2.20187 | − | 3.81374i | −0.0778477 | − | 0.134836i | ||||
\(801\) | 27.2237 | + | 47.1529i | 0.961904 | + | 1.66607i | ||||
\(802\) | −0.0582480 | + | 0.100888i | −0.00205681 | + | 0.00356250i | ||||
\(803\) | 1.54664 | + | 2.67885i | 0.0545796 | + | 0.0945347i | ||||
\(804\) | −2.04189 | + | 3.53666i | −0.0720119 | + | 0.124728i | ||||
\(805\) | −0.822948 | −0.0290051 | ||||||||
\(806\) | 24.6432 | 0.868020 | ||||||||
\(807\) | 27.9158 | − | 48.3516i | 0.982683 | − | 1.70206i | ||||
\(808\) | 13.6125 | − | 23.5775i | 0.478885 | − | 0.829453i | ||||
\(809\) | 41.1162 | 1.44557 | 0.722784 | − | 0.691074i | \(-0.242862\pi\) | ||||
0.722784 | + | 0.691074i | \(0.242862\pi\) | |||||||
\(810\) | −3.69728 | −0.129909 | ||||||||
\(811\) | −8.34389 | + | 14.4520i | −0.292994 | + | 0.507480i | −0.974516 | − | 0.224317i | \(-0.927985\pi\) |
0.681522 | + | 0.731797i | \(0.261318\pi\) | |||||||
\(812\) | −0.220752 | − | 0.382353i | −0.00774687 | − | 0.0134180i | ||||
\(813\) | −19.2836 | + | 33.4001i | −0.676305 | + | 1.17139i | ||||
\(814\) | −7.41534 | − | 12.8438i | −0.259908 | − | 0.450173i | ||||
\(815\) | −3.67365 | − | 6.36295i | −0.128682 | − | 0.222884i | ||||
\(816\) | 4.84524 | 0.169617 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −26.9540 | −0.942424 | ||||||||
\(819\) | −2.36484 | − | 4.09602i | −0.0826341 | − | 0.143126i | ||||
\(820\) | 0.201151 | + | 0.348405i | 0.00702451 | + | 0.0121668i | ||||
\(821\) | 15.6951 | − | 27.1846i | 0.547761 | − | 0.948750i | −0.450666 | − | 0.892693i | \(-0.648814\pi\) |
0.998428 | − | 0.0560579i | \(-0.0178532\pi\) | |||||||
\(822\) | −0.496130 | − | 0.859322i | −0.0173045 | − | 0.0299723i | ||||
\(823\) | −23.1630 | + | 40.1194i | −0.807410 | + | 1.39848i | 0.107241 | + | 0.994233i | \(0.465798\pi\) |
−0.914652 | + | 0.404243i | \(0.867535\pi\) | |||||||
\(824\) | −16.2184 | −0.564996 | ||||||||
\(825\) | −27.0993 | −0.943475 | ||||||||
\(826\) | −1.47519 | + | 2.55510i | −0.0513283 | + | 0.0889031i | ||||
\(827\) | −20.3794 | + | 35.2981i | −0.708661 | + | 1.22744i | 0.256693 | + | 0.966493i | \(0.417367\pi\) |
−0.965354 | + | 0.260943i | \(0.915966\pi\) | |||||||
\(828\) | 2.63453 | 0.0915564 | ||||||||
\(829\) | −35.4834 | −1.23239 | −0.616195 | − | 0.787594i | \(-0.711327\pi\) | ||||
−0.616195 | + | 0.787594i | \(0.711327\pi\) | |||||||
\(830\) | −8.78564 | + | 15.2172i | −0.304954 | + | 0.528196i | ||||
\(831\) | 25.5501 | + | 44.2541i | 0.886323 | + | 1.53516i | ||||
\(832\) | −11.0633 | + | 19.1622i | −0.383551 | + | 0.664330i | ||||
\(833\) | 1.60947 | + | 2.78768i | 0.0557648 | + | 0.0965875i | ||||
\(834\) | −8.26991 | − | 14.3239i | −0.286364 | − | 0.495997i | ||||
\(835\) | 3.54839 | 0.122797 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 46.8735 | 1.62019 | ||||||||
\(838\) | 17.1172 | + | 29.6479i | 0.591304 | + | 1.02417i | ||||
\(839\) | 19.1013 | + | 33.0845i | 0.659451 | + | 1.14220i | 0.980758 | + | 0.195227i | \(0.0625444\pi\) |
−0.321307 | + | 0.946975i | \(0.604122\pi\) | |||||||
\(840\) | 1.29426 | − | 2.24173i | 0.0446563 | − | 0.0773470i | ||||
\(841\) | −9.16297 | − | 15.8707i | −0.315965 | − | 0.547267i | ||||
\(842\) | 2.94356 | − | 5.09840i | 0.101442 | − | 0.175702i | ||||
\(843\) | −52.6323 | −1.81275 | ||||||||
\(844\) | −0.452430 | −0.0155733 | ||||||||
\(845\) | 2.80288 | − | 4.85473i | 0.0964220 | − | 0.167008i | ||||
\(846\) | −25.9859 | + | 45.0089i | −0.893414 | + | 1.54744i | ||||
\(847\) | −2.09833 | −0.0720993 | ||||||||
\(848\) | 10.2044 | 0.350420 | ||||||||
\(849\) | 11.0680 | − | 19.1704i | 0.379854 | − | 0.657927i | ||||
\(850\) | −1.33228 | − | 2.30758i | −0.0456969 | − | 0.0791493i | ||||
\(851\) | 6.66044 | − | 11.5362i | 0.228317 | − | 0.395457i | ||||
\(852\) | 2.47565 | + | 4.28795i | 0.0848144 | + | 0.146903i | ||||
\(853\) | 12.8008 | + | 22.1717i | 0.438292 | + | 0.759144i | 0.997558 | − | 0.0698446i | \(-0.0222503\pi\) |
−0.559266 | + | 0.828988i | \(0.688917\pi\) | |||||||
\(854\) | −4.27126 | −0.146159 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 30.1257 | 1.02967 | ||||||||
\(857\) | 10.5432 | + | 18.2614i | 0.360150 | + | 0.623798i | 0.987985 | − | 0.154548i | \(-0.0493922\pi\) |
−0.627835 | + | 0.778346i | \(0.716059\pi\) | |||||||
\(858\) | 11.1172 | + | 19.2556i | 0.379535 | + | 0.657374i | ||||
\(859\) | 9.78359 | − | 16.9457i | 0.333812 | − | 0.578179i | −0.649444 | − | 0.760409i | \(-0.724998\pi\) |
0.983256 | + | 0.182231i | \(0.0583317\pi\) | |||||||
\(860\) | 0.317018 | + | 0.549092i | 0.0108102 | + | 0.0187239i | ||||
\(861\) | 1.23783 | − | 2.14398i | 0.0421850 | − | 0.0730666i | ||||
\(862\) | 51.6100 | 1.75784 | ||||||||
\(863\) | 4.94894 | 0.168464 | 0.0842319 | − | 0.996446i | \(-0.473156\pi\) | ||||
0.0842319 | + | 0.996446i | \(0.473156\pi\) | |||||||
\(864\) | −3.43629 | + | 5.95183i | −0.116905 | + | 0.202485i | ||||
\(865\) | 8.85710 | − | 15.3409i | 0.301150 | − | 0.521608i | ||||
\(866\) | 24.4279 | 0.830093 | ||||||||
\(867\) | 48.3191 | 1.64100 | ||||||||
\(868\) | −0.228026 | + | 0.394952i | −0.00773970 | + | 0.0134056i | ||||
\(869\) | −13.1878 | − | 22.8419i | −0.447365 | − | 0.774859i | ||||
\(870\) | 11.7344 | − | 20.3246i | 0.397834 | − | 0.689069i | ||||
\(871\) | −9.87763 | − | 17.1086i | −0.334691 | − | 0.579701i | ||||
\(872\) | 2.68298 | + | 4.64706i | 0.0908572 | + | 0.157369i | ||||
\(873\) | 50.0164 | 1.69280 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −2.81790 | −0.0952623 | ||||||||
\(876\) | −0.369585 | − | 0.640140i | −0.0124871 | − | 0.0216283i | ||||
\(877\) | −0.609937 | − | 1.05644i | −0.0205961 | − | 0.0356735i | 0.855544 | − | 0.517731i | \(-0.173223\pi\) |
−0.876140 | + | 0.482057i | \(0.839890\pi\) | |||||||
\(878\) | −4.10291 | + | 7.10645i | −0.138467 | + | 0.239831i | ||||
\(879\) | −15.1211 | − | 26.1905i | −0.510021 | − | 0.883383i | ||||
\(880\) | −3.52094 | + | 6.09845i | −0.118691 | + | 0.205579i | ||||
\(881\) | 46.5030 | 1.56673 | 0.783363 | − | 0.621565i | \(-0.213503\pi\) | ||||
0.783363 | + | 0.621565i | \(0.213503\pi\) | |||||||
\(882\) | 49.0387 | 1.65122 | ||||||||
\(883\) | −6.46245 | + | 11.1933i | −0.217479 | + | 0.376684i | −0.954036 | − | 0.299690i | \(-0.903117\pi\) |
0.736558 | + | 0.676375i | \(0.236450\pi\) | |||||||
\(884\) | 0.111281 | − | 0.192745i | 0.00374280 | − | 0.00648272i | ||||
\(885\) | 15.9659 | 0.536686 | ||||||||
\(886\) | 40.2749 | 1.35306 | ||||||||
\(887\) | 11.6122 | − | 20.1128i | 0.389898 | − | 0.675323i | −0.602537 | − | 0.798091i | \(-0.705844\pi\) |
0.992435 | + | 0.122767i | \(0.0391769\pi\) | |||||||
\(888\) | 20.9500 | + | 36.2864i | 0.703035 | + | 1.21769i | ||||
\(889\) | −2.01501 | + | 3.49011i | −0.0675814 | + | 0.117054i | ||||
\(890\) | −6.09627 | − | 10.5590i | −0.204347 | − | 0.353940i | ||||
\(891\) | 3.47431 | + | 6.01768i | 0.116394 | + | 0.201600i | ||||
\(892\) | 1.57255 | 0.0526528 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 64.2404 | 2.14852 | ||||||||
\(895\) | 5.06196 | + | 8.76757i | 0.169203 | + | 0.293067i | ||||
\(896\) | 1.64930 | + | 2.85667i | 0.0550992 | + | 0.0954347i | ||||
\(897\) | −9.98545 | + | 17.2953i | −0.333405 | + | 0.577474i | ||||
\(898\) | −7.57848 | − | 13.1263i | −0.252897 | − | 0.438031i | ||||
\(899\) | −24.4427 | + | 42.3360i | −0.815209 | + | 1.41198i | ||||
\(900\) | 4.13247 | 0.137749 | ||||||||
\(901\) | −1.32770 | −0.0442320 | ||||||||
\(902\) | −3.71348 | + | 6.43193i | −0.123645 | + | 0.214160i | ||||
\(903\) | 1.95084 | − | 3.37895i | 0.0649198 | − | 0.112444i | ||||
\(904\) | −52.0651 | −1.73166 | ||||||||
\(905\) | 7.50744 | 0.249556 | ||||||||
\(906\) | 8.46064 | − | 14.6543i | 0.281086 | − | 0.486855i | ||||
\(907\) | 19.9984 | + | 34.6383i | 0.664036 | + | 1.15014i | 0.979546 | + | 0.201222i | \(0.0644913\pi\) |
−0.315509 | + | 0.948922i | \(0.602175\pi\) | |||||||
\(908\) | −1.30747 | + | 2.26460i | −0.0433898 | + | 0.0751533i | ||||
\(909\) | 24.4675 | + | 42.3790i | 0.811536 | + | 1.40562i | ||||
\(910\) | 0.529563 | + | 0.917229i | 0.0175548 | + | 0.0304059i | ||||
\(911\) | −18.7997 | −0.622863 | −0.311431 | − | 0.950269i | \(-0.600808\pi\) | ||||
−0.311431 | + | 0.950269i | \(0.600808\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 33.0232 | 1.09291 | ||||||||
\(914\) | −15.7567 | − | 27.2914i | −0.521186 | − | 0.902720i | ||||
\(915\) | 11.5569 | + | 20.0171i | 0.382059 | + | 0.661746i | ||||
\(916\) | −1.89717 | + | 3.28600i | −0.0626844 | + | 0.108573i | ||||
\(917\) | −0.320422 | − | 0.554987i | −0.0105813 | − | 0.0183273i | ||||
\(918\) | −2.07919 | + | 3.60127i | −0.0686236 | + | 0.118860i | ||||
\(919\) | 39.8316 | 1.31392 | 0.656962 | − | 0.753924i | \(-0.271841\pi\) | ||||
0.656962 | + | 0.753924i | \(0.271841\pi\) | |||||||
\(920\) | −6.97502 | −0.229960 | ||||||||
\(921\) | −16.8380 | + | 29.1642i | −0.554830 | + | 0.960993i | ||||
\(922\) | −24.6714 | + | 42.7322i | −0.812510 | + | 1.40731i | ||||
\(923\) | −23.9519 | −0.788387 | ||||||||
\(924\) | −0.411474 | −0.0135365 | ||||||||
\(925\) | 10.4474 | − | 18.0955i | 0.343509 | − | 0.594976i | ||||
\(926\) | −28.9577 | − | 50.1562i | −0.951609 | − | 1.64824i | ||||
\(927\) | 14.5758 | − | 25.2460i | 0.478732 | − | 0.829188i | ||||
\(928\) | −3.58378 | − | 6.20729i | −0.117643 | − | 0.203764i | ||||
\(929\) | −13.4770 | − | 23.3428i | −0.442166 | − | 0.765854i | 0.555684 | − | 0.831394i | \(-0.312456\pi\) |
−0.997850 | + | 0.0655397i | \(0.979123\pi\) | |||||||
\(930\) | −24.2422 | −0.794932 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −3.26176 | −0.106843 | ||||||||
\(933\) | 22.9859 | + | 39.8128i | 0.752525 | + | 1.30341i | ||||
\(934\) | 17.2429 | + | 29.8655i | 0.564204 | + | 0.977230i | ||||
\(935\) | 0.458111 | − | 0.793471i | 0.0149818 | − | 0.0259493i | ||||
\(936\) | −20.0435 | − | 34.7164i | −0.655144 | − | 1.13474i | ||||
\(937\) | −1.31180 | + | 2.27211i | −0.0428548 | + | 0.0742266i | −0.886657 | − | 0.462427i | \(-0.846979\pi\) |
0.843802 | + | 0.536654i | \(0.180312\pi\) | |||||||
\(938\) | −3.59121 | −0.117257 | ||||||||
\(939\) | 76.6742 | 2.50217 | ||||||||
\(940\) | −0.592396 | + | 1.02606i | −0.0193218 | + | 0.0334664i | ||||
\(941\) | 9.33481 | − | 16.1684i | 0.304306 | − | 0.527074i | −0.672801 | − | 0.739824i | \(-0.734909\pi\) |
0.977107 | + | 0.212750i | \(0.0682421\pi\) | |||||||
\(942\) | −37.3141 | −1.21576 | ||||||||
\(943\) | −6.67087 | −0.217234 | ||||||||
\(944\) | −11.3380 | + | 19.6379i | −0.369019 | + | 0.639160i | ||||
\(945\) | 1.00727 | + | 1.74465i | 0.0327666 | + | 0.0567535i | ||||
\(946\) | −5.85251 | + | 10.1368i | −0.190282 | + | 0.329577i | ||||
\(947\) | −4.19981 | − | 7.27428i | −0.136475 | − | 0.236382i | 0.789685 | − | 0.613513i | \(-0.210244\pi\) |
−0.926160 | + | 0.377131i | \(0.876911\pi\) | |||||||
\(948\) | 3.15136 | + | 5.45831i | 0.102351 | + | 0.177278i | ||||
\(949\) | 3.57573 | 0.116073 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −85.0343 | −2.75742 | ||||||||
\(952\) | −0.239170 | − | 0.414255i | −0.00775155 | − | 0.0134261i | ||||
\(953\) | −16.8464 | − | 29.1789i | −0.545709 | − | 0.945196i | −0.998562 | − | 0.0536105i | \(-0.982927\pi\) |
0.452853 | − | 0.891585i | \(-0.350406\pi\) | |||||||
\(954\) | −10.1133 | + | 17.5168i | −0.327431 | + | 0.567128i | ||||
\(955\) | −8.06196 | − | 13.9637i | −0.260879 | − | 0.451855i | ||||
\(956\) | 0.217348 | − | 0.376458i | 0.00702954 | − | 0.0121755i | ||||
\(957\) | −44.1070 | −1.42578 | ||||||||
\(958\) | −51.4347 | −1.66178 | ||||||||
\(959\) | −0.0444153 | + | 0.0769295i | −0.00143424 | + | 0.00248418i | ||||
\(960\) | 10.8833 | − | 18.8504i | 0.351256 | − | 0.608392i | ||||
\(961\) | 19.4962 | 0.628909 | ||||||||
\(962\) | −17.1438 | −0.552739 | ||||||||
\(963\) | −27.0744 | + | 46.8943i | −0.872462 | + | 1.51115i | ||||
\(964\) | 1.27513 | + | 2.20859i | 0.0410692 | + | 0.0711339i | ||||
\(965\) | −0.130882 | + | 0.226694i | −0.00421323 | + | 0.00729753i | ||||
\(966\) | 1.81521 | + | 3.14403i | 0.0584033 | + | 0.101158i | ||||
\(967\) | −5.87164 | − | 10.1700i | −0.188819 | − | 0.327045i | 0.756038 | − | 0.654528i | \(-0.227133\pi\) |
−0.944857 | + | 0.327484i | \(0.893799\pi\) | |||||||
\(968\) | −17.7847 | −0.571621 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −11.2003 | −0.359619 | ||||||||
\(971\) | −6.40467 | − | 11.0932i | −0.205536 | − | 0.355998i | 0.744768 | − | 0.667324i | \(-0.232560\pi\) |
−0.950303 | + | 0.311326i | \(0.899227\pi\) | |||||||
\(972\) | 0.998189 | + | 1.72891i | 0.0320169 | + | 0.0554549i | ||||
\(973\) | −0.740352 | + | 1.28233i | −0.0237346 | + | 0.0411095i | ||||
\(974\) | 5.23009 | + | 9.05877i | 0.167583 | + | 0.290262i | ||||
\(975\) | −15.6630 | + | 27.1291i | −0.501617 | + | 0.868825i | ||||
\(976\) | −32.8280 | −1.05080 | ||||||||
\(977\) | 14.5276 | 0.464781 | 0.232390 | − | 0.972623i | \(-0.425345\pi\) | ||||
0.232390 | + | 0.972623i | \(0.425345\pi\) | |||||||
\(978\) | −16.2062 | + | 28.0700i | −0.518217 | + | 0.897579i | ||||
\(979\) | −11.4572 | + | 19.8445i | −0.366175 | + | 0.634233i | ||||
\(980\) | 1.11793 | 0.0357108 | ||||||||
\(981\) | −9.64496 | −0.307940 | ||||||||
\(982\) | −24.7383 | + | 42.8480i | −0.789431 | + | 1.36733i | ||||
\(983\) | 18.5251 | + | 32.0864i | 0.590860 | + | 1.02340i | 0.994117 | + | 0.108312i | \(0.0345446\pi\) |
−0.403257 | + | 0.915087i | \(0.632122\pi\) | |||||||
\(984\) | 10.4914 | − | 18.1716i | 0.334453 | − | 0.579290i | ||||
\(985\) | −5.77807 | − | 10.0079i | −0.184104 | − | 0.318878i | ||||
\(986\) | −2.16843 | − | 3.75584i | −0.0690570 | − | 0.119610i | ||||
\(987\) | 7.29086 | 0.232071 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −10.5134 | −0.334307 | ||||||||
\(990\) | −6.97906 | − | 12.0881i | −0.221809 | − | 0.384184i | ||||
\(991\) | −1.71570 | − | 2.97168i | −0.0545010 | − | 0.0943985i | 0.837488 | − | 0.546456i | \(-0.184023\pi\) |
−0.891989 | + | 0.452058i | \(0.850690\pi\) | |||||||
\(992\) | −3.70187 | + | 6.41182i | −0.117534 | + | 0.203576i | ||||
\(993\) | 39.8298 | + | 68.9873i | 1.26396 | + | 2.18924i | ||||
\(994\) | −2.17705 | + | 3.77076i | −0.0690519 | + | 0.119601i | ||||
\(995\) | −0.225748 | −0.00715669 | ||||||||
\(996\) | −7.89124 | −0.250044 | ||||||||
\(997\) | −6.38800 | + | 11.0643i | −0.202310 | + | 0.350411i | −0.949272 | − | 0.314455i | \(-0.898178\pi\) |
0.746962 | + | 0.664866i | \(0.231512\pi\) | |||||||
\(998\) | 3.31861 | − | 5.74800i | 0.105049 | − | 0.181950i | ||||
\(999\) | −32.6091 | −1.03170 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))