Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(734,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.734");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.g (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 734.8 | ||
Character | \(\chi\) | \(=\) | 735.734 |
Dual form | 735.2.g.b.734.7 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.51469 | −1.07105 | −0.535523 | − | 0.844521i | \(-0.679886\pi\) | ||||
−0.535523 | + | 0.844521i | \(0.679886\pi\) | |||||||
\(3\) | 1.66512 | + | 0.476833i | 0.961358 | + | 0.275300i | ||||
\(4\) | 0.294280 | 0.147140 | ||||||||
\(5\) | −0.775809 | + | 2.09717i | −0.346952 | + | 0.937883i | ||||
\(6\) | −2.52214 | − | 0.722254i | −1.02966 | − | 0.294859i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.58363 | 0.913452 | ||||||||
\(9\) | 2.54526 | + | 1.58797i | 0.848420 | + | 0.529323i | ||||
\(10\) | 1.17511 | − | 3.17656i | 0.371602 | − | 1.00452i | ||||
\(11\) | 2.14830i | 0.647737i | 0.946102 | + | 0.323869i | \(0.104984\pi\) | ||||
−0.946102 | + | 0.323869i | \(0.895016\pi\) | |||||||
\(12\) | 0.490013 | + | 0.140323i | 0.141454 | + | 0.0405077i | ||||
\(13\) | 3.48097 | 0.965448 | 0.482724 | − | 0.875773i | \(-0.339647\pi\) | ||||
0.482724 | + | 0.875773i | \(0.339647\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.29182 | + | 3.12211i | −0.591745 | + | 0.806126i | ||||
\(16\) | −4.50196 | −1.12549 | ||||||||
\(17\) | − | 3.57718i | − | 0.867594i | −0.901011 | − | 0.433797i | \(-0.857173\pi\) | ||
0.901011 | − | 0.433797i | \(-0.142827\pi\) | |||||||
\(18\) | −3.85528 | − | 2.40528i | −0.908697 | − | 0.566930i | ||||
\(19\) | 1.22234i | 0.280425i | 0.990121 | + | 0.140212i | \(0.0447785\pi\) | ||||
−0.990121 | + | 0.140212i | \(0.955222\pi\) | |||||||
\(20\) | −0.228305 | + | 0.617156i | −0.0510506 | + | 0.138000i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | − | 3.25401i | − | 0.693757i | ||||||
\(23\) | 1.51469 | 0.315834 | 0.157917 | − | 0.987452i | \(-0.449522\pi\) | ||||
0.157917 | + | 0.987452i | \(0.449522\pi\) | |||||||
\(24\) | 4.30206 | + | 1.23196i | 0.878155 | + | 0.251473i | ||||
\(25\) | −3.79624 | − | 3.25401i | −0.759248 | − | 0.650801i | ||||
\(26\) | −5.27259 | −1.03404 | ||||||||
\(27\) | 3.48097 | + | 3.85783i | 0.669913 | + | 0.742439i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.95645i | 1.10608i | 0.833153 | + | 0.553042i | \(0.186533\pi\) | ||||
−0.833153 | + | 0.553042i | \(0.813467\pi\) | |||||||
\(30\) | 3.47139 | − | 4.72902i | 0.633786 | − | 0.863398i | ||||
\(31\) | 3.17656i | 0.570527i | 0.958449 | + | 0.285263i | \(0.0920811\pi\) | ||||
−0.958449 | + | 0.285263i | \(0.907919\pi\) | |||||||
\(32\) | 1.65180 | 0.291999 | ||||||||
\(33\) | −1.02438 | + | 3.57718i | −0.178322 | + | 0.622708i | ||||
\(34\) | 5.41832i | 0.929234i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.749020 | + | 0.467309i | 0.124837 | + | 0.0778848i | ||||
\(37\) | 7.80350i | 1.28289i | 0.767170 | + | 0.641444i | \(0.221664\pi\) | ||||
−0.767170 | + | 0.641444i | \(0.778336\pi\) | |||||||
\(38\) | − | 1.85147i | − | 0.300348i | ||||||
\(39\) | 5.79624 | + | 1.65984i | 0.928141 | + | 0.265788i | ||||
\(40\) | −2.00441 | + | 5.41832i | −0.316925 | + | 0.856711i | ||||
\(41\) | −11.8685 | −1.85355 | −0.926773 | − | 0.375622i | \(-0.877429\pi\) | ||||
−0.926773 | + | 0.375622i | \(0.877429\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.99294i | 0.456419i | 0.973612 | + | 0.228209i | \(0.0732871\pi\) | ||||
−0.973612 | + | 0.228209i | \(0.926713\pi\) | |||||||
\(44\) | 0.632203i | 0.0953082i | ||||||||
\(45\) | −5.30488 | + | 4.10588i | −0.790805 | + | 0.612068i | ||||
\(46\) | −2.29428 | −0.338273 | ||||||||
\(47\) | − | 6.10167i | − | 0.890020i | −0.895526 | − | 0.445010i | \(-0.853200\pi\) | ||
0.895526 | − | 0.445010i | \(-0.146800\pi\) | |||||||
\(48\) | −7.49631 | − | 2.14668i | −1.08200 | − | 0.309847i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 5.75012 | + | 4.92881i | 0.813190 | + | 0.697038i | ||||
\(51\) | 1.70572 | − | 5.95645i | 0.238849 | − | 0.834069i | ||||
\(52\) | 1.02438 | 0.142056 | ||||||||
\(53\) | 11.2260 | 1.54201 | 0.771006 | − | 0.636828i | \(-0.219754\pi\) | ||||
0.771006 | + | 0.636828i | \(0.219754\pi\) | |||||||
\(54\) | −5.27259 | − | 5.84341i | −0.717508 | − | 0.795187i | ||||
\(55\) | −4.50535 | − | 1.66667i | −0.607502 | − | 0.224734i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.582853 | + | 2.03535i | −0.0772008 | + | 0.269589i | ||||
\(58\) | − | 9.02216i | − | 1.18467i | ||||||
\(59\) | 2.16935 | 0.282425 | 0.141213 | − | 0.989979i | \(-0.454900\pi\) | ||||
0.141213 | + | 0.989979i | \(0.454900\pi\) | |||||||
\(60\) | −0.674437 | + | 0.918776i | −0.0870694 | + | 0.118613i | ||||
\(61\) | 3.39872i | 0.435162i | 0.976042 | + | 0.217581i | \(0.0698166\pi\) | ||||
−0.976042 | + | 0.217581i | \(0.930183\pi\) | |||||||
\(62\) | − | 4.81149i | − | 0.611060i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.50196 | 0.812745 | ||||||||
\(65\) | −2.70057 | + | 7.30019i | −0.334964 | + | 0.905477i | ||||
\(66\) | 1.55162 | − | 5.41832i | 0.190991 | − | 0.666949i | ||||
\(67\) | 10.3176i | 1.26050i | 0.776392 | + | 0.630250i | \(0.217048\pi\) | ||||
−0.776392 | + | 0.630250i | \(0.782952\pi\) | |||||||
\(68\) | − | 1.05269i | − | 0.127658i | ||||||
\(69\) | 2.52214 | + | 0.722254i | 0.303630 | + | 0.0869491i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 10.3968i | − | 1.23387i | −0.787013 | − | 0.616936i | \(-0.788374\pi\) | ||
0.787013 | − | 0.616936i | \(-0.211626\pi\) | |||||||
\(72\) | 6.57602 | + | 4.10273i | 0.774991 | + | 0.483512i | ||||
\(73\) | −6.85557 | −0.802384 | −0.401192 | − | 0.915994i | \(-0.631404\pi\) | ||||
−0.401192 | + | 0.915994i | \(0.631404\pi\) | |||||||
\(74\) | − | 11.8199i | − | 1.37403i | ||||||
\(75\) | −4.76958 | − | 7.22849i | −0.550744 | − | 0.834674i | ||||
\(76\) | 0.359711i | 0.0412617i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −8.77950 | − | 2.51414i | −0.994082 | − | 0.284671i | ||||
\(79\) | −1.88284 | −0.211836 | −0.105918 | − | 0.994375i | \(-0.533778\pi\) | ||||
−0.105918 | + | 0.994375i | \(0.533778\pi\) | |||||||
\(80\) | 3.49266 | − | 9.44137i | 0.390491 | − | 1.05558i | ||||
\(81\) | 3.95670 | + | 8.08360i | 0.439633 | + | 0.898177i | ||||
\(82\) | 17.9771 | 1.98523 | ||||||||
\(83\) | 9.10486i | 0.999388i | 0.866202 | + | 0.499694i | \(0.166554\pi\) | ||||
−0.866202 | + | 0.499694i | \(0.833446\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.50196 | + | 2.77521i | 0.813702 | + | 0.301014i | ||||
\(86\) | − | 4.53337i | − | 0.488846i | ||||||
\(87\) | −2.84023 | + | 9.91821i | −0.304505 | + | 1.06334i | ||||
\(88\) | 5.55042i | 0.591677i | ||||||||
\(89\) | −1.77992 | −0.188672 | −0.0943358 | − | 0.995540i | \(-0.530073\pi\) | ||||
−0.0943358 | + | 0.995540i | \(0.530073\pi\) | |||||||
\(90\) | 8.03524 | − | 6.21913i | 0.846989 | − | 0.655554i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.445743 | 0.0464719 | ||||||||
\(93\) | −1.51469 | + | 5.28936i | −0.157066 | + | 0.548481i | ||||
\(94\) | 9.24213i | 0.953253i | ||||||||
\(95\) | −2.56346 | − | 0.948304i | −0.263005 | − | 0.0972940i | ||||
\(96\) | 2.75045 | + | 0.787632i | 0.280716 | + | 0.0803874i | ||||
\(97\) | −1.32584 | −0.134618 | −0.0673092 | − | 0.997732i | \(-0.521441\pi\) | ||||
−0.0673092 | + | 0.997732i | \(0.521441\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.41144 | + | 5.46799i | −0.342863 | + | 0.549553i | ||||
\(100\) | −1.11716 | − | 0.957590i | −0.111716 | − | 0.0957590i | ||||
\(101\) | −13.4201 | −1.33535 | −0.667675 | − | 0.744453i | \(-0.732710\pi\) | ||||
−0.667675 | + | 0.744453i | \(0.732710\pi\) | |||||||
\(102\) | −2.58363 | + | 9.02216i | −0.255818 | + | 0.893327i | ||||
\(103\) | −5.78683 | −0.570194 | −0.285097 | − | 0.958499i | \(-0.592026\pi\) | ||||
−0.285097 | + | 0.958499i | \(0.592026\pi\) | |||||||
\(104\) | 8.99355 | 0.881890 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −17.0039 | −1.65157 | ||||||||
\(107\) | 3.88645 | 0.375717 | 0.187859 | − | 0.982196i | \(-0.439845\pi\) | ||||
0.187859 | + | 0.982196i | \(0.439845\pi\) | |||||||
\(108\) | 1.02438 | + | 1.13528i | 0.0985711 | + | 0.109243i | ||||
\(109\) | 5.20768 | 0.498805 | 0.249403 | − | 0.968400i | \(-0.419766\pi\) | ||||
0.249403 | + | 0.968400i | \(0.419766\pi\) | |||||||
\(110\) | 6.82420 | + | 2.52449i | 0.650662 | + | 0.240701i | ||||
\(111\) | −3.72097 | + | 12.9938i | −0.353179 | + | 1.23331i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 9.36235 | 0.880736 | 0.440368 | − | 0.897817i | \(-0.354848\pi\) | ||||
0.440368 | + | 0.897817i | \(0.354848\pi\) | |||||||
\(114\) | 0.882841 | − | 3.08292i | 0.0826856 | − | 0.288742i | ||||
\(115\) | −1.17511 | + | 3.17656i | −0.109579 | + | 0.296216i | ||||
\(116\) | 1.75286i | 0.162749i | ||||||||
\(117\) | 8.85998 | + | 5.52768i | 0.819105 | + | 0.511034i | ||||
\(118\) | −3.28589 | −0.302490 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −5.92121 | + | 8.06639i | −0.540530 | + | 0.736357i | ||||
\(121\) | 6.38480 | 0.580436 | ||||||||
\(122\) | − | 5.14801i | − | 0.466079i | ||||||
\(123\) | −19.7625 | − | 5.65929i | −1.78192 | − | 0.510281i | ||||
\(124\) | 0.934799i | 0.0839474i | ||||||||
\(125\) | 9.76936 | − | 5.43687i | 0.873798 | − | 0.486289i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 9.57778i | − | 0.849891i | −0.905219 | − | 0.424945i | \(-0.860293\pi\) | ||
0.905219 | − | 0.424945i | \(-0.139707\pi\) | |||||||
\(128\) | −13.1520 | −1.16249 | ||||||||
\(129\) | −1.42713 | + | 4.98361i | −0.125652 | + | 0.438782i | ||||
\(130\) | 4.09052 | − | 11.0575i | 0.358762 | − | 0.969807i | ||||
\(131\) | 9.45016 | 0.825665 | 0.412832 | − | 0.910807i | \(-0.364540\pi\) | ||||
0.412832 | + | 0.910807i | \(0.364540\pi\) | |||||||
\(132\) | −0.301455 | + | 1.05269i | −0.0262383 | + | 0.0916253i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 15.6280i | − | 1.35005i | ||||||
\(135\) | −10.7911 | + | 4.30725i | −0.928749 | + | 0.370709i | ||||
\(136\) | − | 9.24213i | − | 0.792506i | ||||||
\(137\) | 10.7055 | 0.914634 | 0.457317 | − | 0.889304i | \(-0.348810\pi\) | ||||
0.457317 | + | 0.889304i | \(0.348810\pi\) | |||||||
\(138\) | −3.82026 | − | 1.09399i | −0.325202 | − | 0.0931265i | ||||
\(139\) | − | 4.11136i | − | 0.348721i | −0.984682 | − | 0.174360i | \(-0.944214\pi\) | ||
0.984682 | − | 0.174360i | \(-0.0557858\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.90948 | − | 10.1600i | 0.245022 | − | 0.855629i | ||||
\(142\) | 15.7479i | 1.32153i | ||||||||
\(143\) | 7.47817i | 0.625356i | ||||||||
\(144\) | −11.4587 | − | 7.14898i | −0.954888 | − | 0.595748i | ||||
\(145\) | −12.4917 | − | 4.62107i | −1.03738 | − | 0.383759i | ||||
\(146\) | 10.3841 | 0.859390 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.29642i | 0.188764i | ||||||||
\(149\) | 2.54374i | 0.208391i | 0.994557 | + | 0.104196i | \(0.0332268\pi\) | ||||
−0.994557 | + | 0.104196i | \(0.966773\pi\) | |||||||
\(150\) | 7.22443 | + | 10.9489i | 0.589872 | + | 0.893975i | ||||
\(151\) | −5.61912 | −0.457277 | −0.228639 | − | 0.973511i | \(-0.573427\pi\) | ||||
−0.228639 | + | 0.973511i | \(0.573427\pi\) | |||||||
\(152\) | 3.15808i | 0.256154i | ||||||||
\(153\) | 5.68046 | − | 9.10486i | 0.459238 | − | 0.736084i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.66178 | − | 2.46440i | −0.535087 | − | 0.197946i | ||||
\(156\) | 1.70572 | + | 0.488459i | 0.136567 | + | 0.0391080i | ||||
\(157\) | 13.9239 | 1.11125 | 0.555623 | − | 0.831434i | \(-0.312480\pi\) | ||||
0.555623 | + | 0.831434i | \(0.312480\pi\) | |||||||
\(158\) | 2.85192 | 0.226886 | ||||||||
\(159\) | 18.6927 | + | 5.35294i | 1.48243 | + | 0.424516i | ||||
\(160\) | −1.28148 | + | 3.46410i | −0.101310 | + | 0.273861i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −5.99317 | − | 12.2441i | −0.470868 | − | 0.961990i | ||||
\(163\) | − | 4.07070i | − | 0.318842i | −0.987211 | − | 0.159421i | \(-0.949037\pi\) | ||
0.987211 | − | 0.159421i | \(-0.0509627\pi\) | |||||||
\(164\) | −3.49266 | −0.272731 | ||||||||
\(165\) | −6.70724 | − | 4.92351i | −0.522158 | − | 0.383295i | ||||
\(166\) | − | 13.7910i | − | 1.07039i | ||||||
\(167\) | − | 13.9722i | − | 1.08120i | −0.841279 | − | 0.540602i | \(-0.818197\pi\) | ||
0.841279 | − | 0.540602i | \(-0.181803\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.882841 | −0.0679109 | ||||||||
\(170\) | −11.3631 | − | 4.20358i | −0.871512 | − | 0.322400i | ||||
\(171\) | −1.94104 | + | 3.11118i | −0.148435 | + | 0.237918i | ||||
\(172\) | 0.880763i | 0.0671576i | ||||||||
\(173\) | − | 10.0027i | − | 0.760488i | −0.924886 | − | 0.380244i | \(-0.875840\pi\) | ||
0.924886 | − | 0.380244i | \(-0.124160\pi\) | |||||||
\(174\) | 4.30206 | − | 15.0230i | 0.326139 | − | 1.13889i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 9.67157i | − | 0.729022i | ||||||
\(177\) | 3.61223 | + | 1.03442i | 0.271512 | + | 0.0777516i | ||||
\(178\) | 2.69603 | 0.202076 | ||||||||
\(179\) | 16.2095i | 1.21155i | 0.795634 | + | 0.605777i | \(0.207138\pi\) | ||||
−0.795634 | + | 0.605777i | \(0.792862\pi\) | |||||||
\(180\) | −1.56112 | + | 1.20828i | −0.116359 | + | 0.0900599i | ||||
\(181\) | − | 19.4123i | − | 1.44290i | −0.692465 | − | 0.721451i | \(-0.743475\pi\) | ||
0.692465 | − | 0.721451i | \(-0.256525\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.62062 | + | 5.65929i | −0.119800 | + | 0.418347i | ||||
\(184\) | 3.91340 | 0.288500 | ||||||||
\(185\) | −16.3653 | − | 6.05403i | −1.20320 | − | 0.445101i | ||||
\(186\) | 2.29428 | − | 8.01172i | 0.168225 | − | 0.587448i | ||||
\(187\) | 7.68487 | 0.561973 | ||||||||
\(188\) | − | 1.79560i | − | 0.130958i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.88284 | + | 1.43639i | 0.281691 | + | 0.104206i | ||||
\(191\) | − | 12.7038i | − | 0.919212i | −0.888123 | − | 0.459606i | \(-0.847991\pi\) | ||
0.888123 | − | 0.459606i | \(-0.152009\pi\) | |||||||
\(192\) | 10.8266 | + | 3.10035i | 0.781339 | + | 0.223748i | ||||
\(193\) | − | 20.8195i | − | 1.49862i | −0.662218 | − | 0.749311i | \(-0.730385\pi\) | ||
0.662218 | − | 0.749311i | \(-0.269615\pi\) | |||||||
\(194\) | 2.00823 | 0.144182 | ||||||||
\(195\) | −7.97775 | + | 10.8680i | −0.571298 | + | 0.778272i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.23465 | −0.159212 | −0.0796062 | − | 0.996826i | \(-0.525366\pi\) | ||||
−0.0796062 | + | 0.996826i | \(0.525366\pi\) | |||||||
\(198\) | 5.16727 | − | 8.28229i | 0.367222 | − | 0.588597i | ||||
\(199\) | − | 24.9220i | − | 1.76667i | −0.468739 | − | 0.883337i | \(-0.655292\pi\) | ||
0.468739 | − | 0.883337i | \(-0.344708\pi\) | |||||||
\(200\) | −9.80809 | − | 8.40716i | −0.693537 | − | 0.594476i | ||||
\(201\) | −4.91979 | + | 17.1801i | −0.347016 | + | 1.21179i | ||||
\(202\) | 20.3273 | 1.43022 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0.501960 | − | 1.75286i | 0.0351442 | − | 0.122725i | ||||
\(205\) | 9.20768 | − | 24.8902i | 0.643092 | − | 1.73841i | ||||
\(206\) | 8.76525 | 0.610704 | ||||||||
\(207\) | 3.85528 | + | 2.40528i | 0.267960 | + | 0.167179i | ||||
\(208\) | −15.6712 | −1.08660 | ||||||||
\(209\) | −2.62596 | −0.181641 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.61520 | −0.455409 | −0.227705 | − | 0.973730i | \(-0.573122\pi\) | ||||
−0.227705 | + | 0.973730i | \(0.573122\pi\) | |||||||
\(212\) | 3.30360 | 0.226892 | ||||||||
\(213\) | 4.95754 | − | 17.3119i | 0.339685 | − | 1.18619i | ||||
\(214\) | −5.88676 | −0.402411 | ||||||||
\(215\) | −6.27670 | − | 2.32195i | −0.428067 | − | 0.158356i | ||||
\(216\) | 8.99355 | + | 9.96721i | 0.611934 | + | 0.678183i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −7.88801 | −0.534243 | ||||||||
\(219\) | −11.4154 | − | 3.26896i | −0.771378 | − | 0.220896i | ||||
\(220\) | −1.32584 | − | 0.490469i | −0.0893879 | − | 0.0330674i | ||||
\(221\) | − | 12.4521i | − | 0.837617i | ||||||
\(222\) | 5.63611 | − | 19.6815i | 0.378271 | − | 1.32094i | ||||
\(223\) | 4.31027 | 0.288637 | 0.144318 | − | 0.989531i | \(-0.453901\pi\) | ||||
0.144318 | + | 0.989531i | \(0.453901\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.49515 | − | 14.3106i | −0.299677 | − | 0.954041i | ||||
\(226\) | −14.1810 | −0.943309 | ||||||||
\(227\) | − | 11.1112i | − | 0.737478i | −0.929533 | − | 0.368739i | \(-0.879790\pi\) | ||
0.929533 | − | 0.368739i | \(-0.120210\pi\) | |||||||
\(228\) | −0.171522 | + | 0.598963i | −0.0113593 | + | 0.0396673i | ||||
\(229\) | − | 9.97400i | − | 0.659101i | −0.944138 | − | 0.329550i | \(-0.893103\pi\) | ||
0.944138 | − | 0.329550i | \(-0.106897\pi\) | |||||||
\(230\) | 1.77992 | − | 4.81149i | 0.117365 | − | 0.317261i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 15.3893i | 1.01036i | ||||||||
\(233\) | 20.6287 | 1.35143 | 0.675716 | − | 0.737162i | \(-0.263835\pi\) | ||||
0.675716 | + | 0.737162i | \(0.263835\pi\) | |||||||
\(234\) | −13.4201 | − | 8.37271i | −0.877300 | − | 0.547341i | ||||
\(235\) | 12.7962 | + | 4.73373i | 0.834735 | + | 0.308795i | ||||
\(236\) | 0.638397 | 0.0415561 | ||||||||
\(237\) | −3.13516 | − | 0.897801i | −0.203650 | − | 0.0583184i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.87353i | 0.185873i | 0.995672 | + | 0.0929365i | \(0.0296254\pi\) | ||||
−0.995672 | + | 0.0929365i | \(0.970375\pi\) | |||||||
\(240\) | 10.3177 | − | 14.0556i | 0.666003 | − | 0.907286i | ||||
\(241\) | 26.0722i | 1.67946i | 0.543007 | + | 0.839728i | \(0.317286\pi\) | ||||
−0.543007 | + | 0.839728i | \(0.682714\pi\) | |||||||
\(242\) | −9.67098 | −0.621674 | ||||||||
\(243\) | 2.73386 | + | 15.3469i | 0.175377 | + | 0.984501i | ||||
\(244\) | 1.00018i | 0.0640298i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 29.9340 | + | 8.57206i | 1.90852 | + | 0.546534i | ||||
\(247\) | 4.25494i | 0.270735i | ||||||||
\(248\) | 8.20706i | 0.521149i | ||||||||
\(249\) | −4.34150 | + | 15.1607i | −0.275131 | + | 0.960771i | ||||
\(250\) | −14.7975 | + | 8.23516i | −0.935878 | + | 0.520837i | ||||
\(251\) | 0.161120 | 0.0101698 | 0.00508489 | − | 0.999987i | \(-0.498381\pi\) | ||||
0.00508489 | + | 0.999987i | \(0.498381\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.25401i | 0.204578i | ||||||||
\(254\) | 14.5074i | 0.910272i | ||||||||
\(255\) | 11.1684 | + | 8.19825i | 0.699390 | + | 0.513394i | ||||
\(256\) | 6.91732 | 0.432332 | ||||||||
\(257\) | − | 13.1303i | − | 0.819045i | −0.912300 | − | 0.409522i | \(-0.865695\pi\) | ||
0.912300 | − | 0.409522i | \(-0.134305\pi\) | |||||||
\(258\) | 2.16166 | − | 7.54861i | 0.134579 | − | 0.469956i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −0.794725 | + | 2.14830i | −0.0492867 | + | 0.133232i | ||||
\(261\) | −9.45866 | + | 15.1607i | −0.585476 | + | 0.938424i | ||||
\(262\) | −14.3141 | −0.884325 | ||||||||
\(263\) | 17.7305 | 1.09331 | 0.546655 | − | 0.837358i | \(-0.315901\pi\) | ||||
0.546655 | + | 0.837358i | \(0.315901\pi\) | |||||||
\(264\) | −2.64663 | + | 9.24213i | −0.162889 | + | 0.568814i | ||||
\(265\) | −8.70925 | + | 23.5429i | −0.535005 | + | 1.44623i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.96379 | − | 0.848727i | −0.181381 | − | 0.0519412i | ||||
\(268\) | 3.03628i | 0.185470i | ||||||||
\(269\) | −4.40588 | −0.268631 | −0.134316 | − | 0.990939i | \(-0.542884\pi\) | ||||
−0.134316 | + | 0.990939i | \(0.542884\pi\) | |||||||
\(270\) | 16.3451 | − | 6.52414i | 0.994733 | − | 0.397046i | ||||
\(271\) | − | 23.5890i | − | 1.43293i | −0.697623 | − | 0.716465i | \(-0.745759\pi\) | ||
0.697623 | − | 0.716465i | \(-0.254241\pi\) | |||||||
\(272\) | 16.1043i | 0.976469i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −16.2155 | −0.979615 | ||||||||
\(275\) | 6.99059 | − | 8.15547i | 0.421548 | − | 0.491793i | ||||
\(276\) | 0.742216 | + | 0.212545i | 0.0446762 | + | 0.0127937i | ||||
\(277\) | 12.8318i | 0.770987i | 0.922710 | + | 0.385494i | \(0.125969\pi\) | ||||
−0.922710 | + | 0.385494i | \(0.874031\pi\) | |||||||
\(278\) | 6.22742i | 0.373496i | ||||||||
\(279\) | −5.04428 | + | 8.08517i | −0.301993 | + | 0.484046i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 21.2397i | 1.26706i | 0.773719 | + | 0.633528i | \(0.218394\pi\) | ||||
−0.773719 | + | 0.633528i | \(0.781606\pi\) | |||||||
\(282\) | −4.40695 | + | 15.3893i | −0.262430 | + | 0.916418i | ||||
\(283\) | 6.55412 | 0.389602 | 0.194801 | − | 0.980843i | \(-0.437594\pi\) | ||||
0.194801 | + | 0.980843i | \(0.437594\pi\) | |||||||
\(284\) | − | 3.05957i | − | 0.181552i | ||||||
\(285\) | −3.81629 | − | 2.80138i | −0.226057 | − | 0.165940i | ||||
\(286\) | − | 11.3271i | − | 0.669786i | ||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 4.20426 | + | 2.62301i | 0.247738 | + | 0.154562i | ||||
\(289\) | 4.20376 | 0.247280 | ||||||||
\(290\) | 18.9210 | + | 6.99947i | 1.11108 | + | 0.411023i | ||||
\(291\) | −2.20768 | − | 0.632203i | −0.129416 | − | 0.0370604i | ||||
\(292\) | −2.01746 | −0.118063 | ||||||||
\(293\) | 3.71937i | 0.217288i | 0.994081 | + | 0.108644i | \(0.0346509\pi\) | ||||
−0.994081 | + | 0.108644i | \(0.965349\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.68300 | + | 4.54949i | −0.0979881 | + | 0.264882i | ||||
\(296\) | 20.1614i | 1.17186i | ||||||||
\(297\) | −8.28778 | + | 7.47817i | −0.480906 | + | 0.433928i | ||||
\(298\) | − | 3.85297i | − | 0.223197i | ||||||
\(299\) | 5.27259 | 0.304922 | ||||||||
\(300\) | −1.40359 | − | 2.12720i | −0.0810366 | − | 0.122814i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 8.51121 | 0.489765 | ||||||||
\(303\) | −22.3461 | − | 6.39915i | −1.28375 | − | 0.367622i | ||||
\(304\) | − | 5.50294i | − | 0.315615i | ||||||
\(305\) | −7.12770 | − | 2.63676i | −0.408131 | − | 0.150980i | ||||
\(306\) | −8.60413 | + | 13.7910i | −0.491865 | + | 0.788381i | ||||
\(307\) | −11.2102 | −0.639800 | −0.319900 | − | 0.947451i | \(-0.603649\pi\) | ||||
−0.319900 | + | 0.947451i | \(0.603649\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −9.63578 | − | 2.75935i | −0.548160 | − | 0.156974i | ||||
\(310\) | 10.0905 | + | 3.73280i | 0.573103 | + | 0.212009i | ||||
\(311\) | 18.9210 | 1.07291 | 0.536456 | − | 0.843929i | \(-0.319763\pi\) | ||||
0.536456 | + | 0.843929i | \(0.319763\pi\) | |||||||
\(312\) | 14.9754 | + | 4.28842i | 0.847813 | + | 0.242784i | ||||
\(313\) | 16.3805 | 0.925879 | 0.462940 | − | 0.886390i | \(-0.346795\pi\) | ||||
0.462940 | + | 0.886390i | \(0.346795\pi\) | |||||||
\(314\) | −21.0903 | −1.19020 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.554083 | −0.0311696 | ||||||||
\(317\) | −10.1167 | −0.568212 | −0.284106 | − | 0.958793i | \(-0.591697\pi\) | ||||
−0.284106 | + | 0.958793i | \(0.591697\pi\) | |||||||
\(318\) | −28.3136 | − | 8.10803i | −1.58775 | − | 0.454676i | ||||
\(319\) | −12.7962 | −0.716452 | ||||||||
\(320\) | −5.04428 | + | 13.6357i | −0.281984 | + | 0.762259i | ||||
\(321\) | 6.47141 | + | 1.85319i | 0.361199 | + | 0.103435i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 4.37254 | 0.243295 | ||||||||
\(324\) | 1.16438 | + | 2.37884i | 0.0646877 | + | 0.132158i | ||||
\(325\) | −13.2146 | − | 11.3271i | −0.733014 | − | 0.628315i | ||||
\(326\) | 6.16584i | 0.341494i | ||||||||
\(327\) | 8.67142 | + | 2.48319i | 0.479531 | + | 0.137321i | ||||
\(328\) | −30.6638 | −1.69313 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 10.1594 | + | 7.45759i | 0.559255 | + | 0.410527i | ||||
\(331\) | 19.2755 | 1.05948 | 0.529738 | − | 0.848161i | \(-0.322290\pi\) | ||||
0.529738 | + | 0.848161i | \(0.322290\pi\) | |||||||
\(332\) | 2.67938i | 0.147050i | ||||||||
\(333\) | −12.3917 | + | 19.8619i | −0.679062 | + | 1.08843i | ||||
\(334\) | 21.1636i | 1.15802i | ||||||||
\(335\) | −21.6378 | − | 8.00452i | −1.18220 | − | 0.437334i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 23.6381i | − | 1.28765i | −0.765174 | − | 0.643824i | \(-0.777347\pi\) | ||
0.765174 | − | 0.643824i | \(-0.222653\pi\) | |||||||
\(338\) | 1.33723 | 0.0727357 | ||||||||
\(339\) | 15.5895 | + | 4.46428i | 0.846703 | + | 0.242466i | ||||
\(340\) | 2.20768 | + | 0.816690i | 0.119728 | + | 0.0442913i | ||||
\(341\) | −6.82420 | −0.369551 | ||||||||
\(342\) | 2.94008 | − | 4.71247i | 0.158981 | − | 0.254821i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 7.73266i | 0.416917i | ||||||||
\(345\) | −3.47139 | + | 4.72902i | −0.186893 | + | 0.254602i | ||||
\(346\) | 15.1509i | 0.814518i | ||||||||
\(347\) | −15.9072 | −0.853943 | −0.426971 | − | 0.904265i | \(-0.640420\pi\) | ||||
−0.426971 | + | 0.904265i | \(0.640420\pi\) | |||||||
\(348\) | −0.835824 | + | 2.91873i | −0.0448049 | + | 0.156461i | ||||
\(349\) | − | 0.0192397i | − | 0.00102988i | −1.00000 | 0.000514938i | \(-0.999836\pi\) | |||
1.00000 | 0.000514938i | \(-0.000163910\pi\) | ||||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 12.1172 | + | 13.4290i | 0.646766 | + | 0.716786i | ||||
\(352\) | 3.54856i | 0.189139i | ||||||||
\(353\) | 25.4200i | 1.35297i | 0.736457 | + | 0.676484i | \(0.236497\pi\) | ||||
−0.736457 | + | 0.676484i | \(0.763503\pi\) | |||||||
\(354\) | −5.47140 | − | 1.56682i | −0.290802 | − | 0.0832755i | ||||
\(355\) | 21.8038 | + | 8.06593i | 1.15723 | + | 0.428095i | ||||
\(356\) | −0.523797 | −0.0277612 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 24.5523i | − | 1.29763i | ||||||
\(359\) | − | 24.1789i | − | 1.27611i | −0.769989 | − | 0.638057i | \(-0.779738\pi\) | ||
0.769989 | − | 0.638057i | \(-0.220262\pi\) | |||||||
\(360\) | −13.7059 | + | 10.6081i | −0.722362 | + | 0.559095i | ||||
\(361\) | 17.5059 | 0.921362 | ||||||||
\(362\) | 29.4035i | 1.54542i | ||||||||
\(363\) | 10.6315 | + | 3.04448i | 0.558007 | + | 0.159794i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.31861 | − | 14.3773i | 0.278389 | − | 0.752542i | ||||
\(366\) | 2.45474 | − | 8.57206i | 0.128311 | − | 0.448069i | ||||
\(367\) | −9.07272 | −0.473592 | −0.236796 | − | 0.971559i | \(-0.576097\pi\) | ||||
−0.236796 | + | 0.971559i | \(0.576097\pi\) | |||||||
\(368\) | −6.81907 | −0.355468 | ||||||||
\(369\) | −30.2084 | − | 18.8468i | −1.57259 | − | 0.981125i | ||||
\(370\) | 24.7883 | + | 9.16996i | 1.28868 | + | 0.476724i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −0.445743 | + | 1.55655i | −0.0231107 | + | 0.0807035i | ||||
\(373\) | 15.5637i | 0.805856i | 0.915232 | + | 0.402928i | \(0.132007\pi\) | ||||
−0.915232 | + | 0.402928i | \(0.867993\pi\) | |||||||
\(374\) | −11.6402 | −0.601899 | ||||||||
\(375\) | 18.8597 | − | 4.39470i | 0.973908 | − | 0.226941i | ||||
\(376\) | − | 15.7645i | − | 0.812991i | ||||||
\(377\) | 20.7342i | 1.06787i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 34.0984 | 1.75152 | 0.875758 | − | 0.482751i | \(-0.160362\pi\) | ||||
0.875758 | + | 0.482751i | \(0.160362\pi\) | |||||||
\(380\) | −0.754376 | − | 0.279067i | −0.0386987 | − | 0.0143159i | ||||
\(381\) | 4.56700 | − | 15.9482i | 0.233975 | − | 0.817049i | ||||
\(382\) | 19.2422i | 0.984519i | ||||||||
\(383\) | − | 10.5767i | − | 0.540442i | −0.962798 | − | 0.270221i | \(-0.912903\pi\) | ||
0.962798 | − | 0.270221i | \(-0.0870967\pi\) | |||||||
\(384\) | −21.8997 | − | 6.27133i | −1.11757 | − | 0.320032i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 31.5351i | 1.60509i | ||||||||
\(387\) | −4.75270 | + | 7.61781i | −0.241593 | + | 0.387235i | ||||
\(388\) | −0.390168 | −0.0198078 | ||||||||
\(389\) | 16.9347i | 0.858624i | 0.903156 | + | 0.429312i | \(0.141244\pi\) | ||||
−0.903156 | + | 0.429312i | \(0.858756\pi\) | |||||||
\(390\) | 12.0838 | − | 16.4616i | 0.611887 | − | 0.833565i | ||||
\(391\) | − | 5.41832i | − | 0.274016i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 15.7357 | + | 4.50615i | 0.793760 | + | 0.227305i | ||||
\(394\) | 3.38480 | 0.170524 | ||||||||
\(395\) | 1.46073 | − | 3.94864i | 0.0734971 | − | 0.198677i | ||||
\(396\) | −1.00392 | + | 1.60912i | −0.0504489 | + | 0.0808614i | ||||
\(397\) | 0.407827 | 0.0204682 | 0.0102341 | − | 0.999948i | \(-0.496742\pi\) | ||||
0.0102341 | + | 0.999948i | \(0.496742\pi\) | |||||||
\(398\) | 37.7491i | 1.89219i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 17.0905 | + | 14.6494i | 0.854526 | + | 0.732470i | ||||
\(401\) | 27.9786i | 1.39719i | 0.715519 | + | 0.698593i | \(0.246190\pi\) | ||||
−0.715519 | + | 0.698593i | \(0.753810\pi\) | |||||||
\(402\) | 7.45195 | − | 26.0225i | 0.371670 | − | 1.29789i | ||||
\(403\) | 11.0575i | 0.550814i | ||||||||
\(404\) | −3.94927 | −0.196484 | ||||||||
\(405\) | −20.0223 | + | 2.02654i | −0.994917 | + | 0.100700i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −16.7643 | −0.830974 | ||||||||
\(408\) | 4.40695 | − | 15.3893i | 0.218177 | − | 0.761882i | ||||
\(409\) | 2.62071i | 0.129586i | 0.997899 | + | 0.0647929i | \(0.0206387\pi\) | ||||
−0.997899 | + | 0.0647929i | \(0.979361\pi\) | |||||||
\(410\) | −13.9468 | + | 37.7009i | −0.688782 | + | 1.86192i | ||||
\(411\) | 17.8260 | + | 5.10475i | 0.879291 | + | 0.251799i | ||||
\(412\) | −1.70295 | −0.0838984 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −5.83954 | − | 3.64325i | −0.286998 | − | 0.179056i | ||||
\(415\) | −19.0944 | − | 7.06364i | −0.937309 | − | 0.346740i | ||||
\(416\) | 5.74986 | 0.281910 | ||||||||
\(417\) | 1.96043 | − | 6.84591i | 0.0960027 | − | 0.335246i | ||||
\(418\) | 3.97751 | 0.194546 | ||||||||
\(419\) | −8.39649 | −0.410195 | −0.205098 | − | 0.978742i | \(-0.565751\pi\) | ||||
−0.205098 | + | 0.978742i | \(0.565751\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.84952 | −0.382562 | −0.191281 | − | 0.981535i | \(-0.561264\pi\) | ||||
−0.191281 | + | 0.981535i | \(0.561264\pi\) | |||||||
\(422\) | 10.0200 | 0.487764 | ||||||||
\(423\) | 9.68927 | − | 15.5303i | 0.471109 | − | 0.755111i | ||||
\(424\) | 29.0039 | 1.40855 | ||||||||
\(425\) | −11.6402 | + | 13.5798i | −0.564632 | + | 0.658719i | ||||
\(426\) | −7.50912 | + | 26.2222i | −0.363818 | + | 1.27047i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 1.14371 | 0.0552831 | ||||||||
\(429\) | −3.56584 | + | 12.4521i | −0.172160 | + | 0.601192i | ||||
\(430\) | 9.50724 | + | 3.51703i | 0.458480 | + | 0.169606i | ||||
\(431\) | − | 12.2576i | − | 0.590428i | −0.955431 | − | 0.295214i | \(-0.904609\pi\) | ||
0.955431 | − | 0.295214i | \(-0.0953910\pi\) | |||||||
\(432\) | −15.6712 | − | 17.3678i | −0.753981 | − | 0.835608i | ||||
\(433\) | 5.13957 | 0.246992 | 0.123496 | − | 0.992345i | \(-0.460589\pi\) | ||||
0.123496 | + | 0.992345i | \(0.460589\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −18.5967 | − | 13.6511i | −0.891643 | − | 0.654519i | ||||
\(436\) | 1.53252 | 0.0733943 | ||||||||
\(437\) | 1.85147i | 0.0885677i | ||||||||
\(438\) | 17.2907 | + | 4.95146i | 0.826182 | + | 0.236590i | ||||
\(439\) | 16.6993i | 0.797013i | 0.917165 | + | 0.398507i | \(0.130471\pi\) | ||||
−0.917165 | + | 0.398507i | \(0.869529\pi\) | |||||||
\(440\) | −11.6402 | − | 4.30607i | −0.554924 | − | 0.205284i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 18.8610i | 0.897127i | ||||||||
\(443\) | −0.252220 | −0.0119833 | −0.00599167 | − | 0.999982i | \(-0.501907\pi\) | ||||
−0.00599167 | + | 0.999982i | \(0.501907\pi\) | |||||||
\(444\) | −1.09501 | + | 3.82381i | −0.0519668 | + | 0.181470i | ||||
\(445\) | 1.38088 | − | 3.73280i | 0.0654601 | − | 0.176952i | ||||
\(446\) | −6.52871 | −0.309144 | ||||||||
\(447\) | −1.21294 | + | 4.23563i | −0.0573700 | + | 0.200339i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 28.8710i | 1.36250i | 0.732049 | + | 0.681252i | \(0.238564\pi\) | ||||
−0.732049 | + | 0.681252i | \(0.761436\pi\) | |||||||
\(450\) | 6.80875 | + | 21.6761i | 0.320968 | + | 1.02182i | ||||
\(451\) | − | 25.4971i | − | 1.20061i | ||||||
\(452\) | 2.75516 | 0.129592 | ||||||||
\(453\) | −9.35652 | − | 2.67938i | −0.439607 | − | 0.125888i | ||||
\(454\) | 16.8300i | 0.789873i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.50588 | + | 5.25859i | −0.0705193 | + | 0.246256i | ||||
\(457\) | − | 24.0735i | − | 1.12611i | −0.826419 | − | 0.563056i | \(-0.809625\pi\) | ||
0.826419 | − | 0.563056i | \(-0.190375\pi\) | |||||||
\(458\) | 15.1075i | 0.705927i | ||||||||
\(459\) | 13.8002 | − | 12.4521i | 0.644136 | − | 0.581213i | ||||
\(460\) | −0.345812 | + | 0.934799i | −0.0161235 | + | 0.0435852i | ||||
\(461\) | 39.8709 | 1.85697 | 0.928486 | − | 0.371367i | \(-0.121111\pi\) | ||||
0.928486 | + | 0.371367i | \(0.121111\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 29.8417i | 1.38686i | 0.720524 | + | 0.693430i | \(0.243901\pi\) | ||||
−0.720524 | + | 0.693430i | \(0.756099\pi\) | |||||||
\(464\) | − | 26.8157i | − | 1.24489i | ||||||
\(465\) | −9.91757 | − | 7.28009i | −0.459916 | − | 0.337606i | ||||
\(466\) | −31.2461 | −1.44745 | ||||||||
\(467\) | − | 4.18164i | − | 0.193503i | −0.995309 | − | 0.0967515i | \(-0.969155\pi\) | ||
0.995309 | − | 0.0967515i | \(-0.0308452\pi\) | |||||||
\(468\) | 2.60732 | + | 1.62669i | 0.120523 | + | 0.0751937i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −19.3823 | − | 7.17013i | −0.894039 | − | 0.330733i | ||||
\(471\) | 23.1850 | + | 6.63937i | 1.06831 | + | 0.305926i | ||||
\(472\) | 5.60480 | 0.257982 | ||||||||
\(473\) | −6.42973 | −0.295640 | ||||||||
\(474\) | 4.74879 | + | 1.35989i | 0.218119 | + | 0.0624618i | ||||
\(475\) | 3.97751 | − | 4.64030i | 0.182501 | − | 0.212912i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 28.5731 | + | 17.8266i | 1.30827 | + | 0.816223i | ||||
\(478\) | − | 4.35250i | − | 0.199079i | ||||||
\(479\) | 27.9352 | 1.27639 | 0.638196 | − | 0.769874i | \(-0.279681\pi\) | ||||
0.638196 | + | 0.769874i | \(0.279681\pi\) | |||||||
\(480\) | −3.78562 | + | 5.15710i | −0.172789 | + | 0.235388i | ||||
\(481\) | 27.1638i | 1.23856i | ||||||||
\(482\) | − | 39.4912i | − | 1.79878i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.87892 | 0.0854055 | ||||||||
\(485\) | 1.02860 | − | 2.78050i | 0.0467062 | − | 0.126256i | ||||
\(486\) | −4.14094 | − | 23.2457i | −0.187837 | − | 1.05445i | ||||
\(487\) | − | 37.2432i | − | 1.68765i | −0.536618 | − | 0.843826i | \(-0.680298\pi\) | ||
0.536618 | − | 0.843826i | \(-0.319702\pi\) | |||||||
\(488\) | 8.78105i | 0.397500i | ||||||||
\(489\) | 1.94104 | − | 6.77821i | 0.0877770 | − | 0.306521i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 5.90572i | 0.266522i | 0.991081 | + | 0.133261i | \(0.0425448\pi\) | ||||
−0.991081 | + | 0.133261i | \(0.957455\pi\) | |||||||
\(492\) | −5.81571 | − | 1.66542i | −0.262192 | − | 0.0750828i | ||||
\(493\) | 21.3073 | 0.959632 | ||||||||
\(494\) | − | 6.44490i | − | 0.289970i | ||||||
\(495\) | −8.82067 | − | 11.3965i | −0.396460 | − | 0.512234i | ||||
\(496\) | − | 14.3007i | − | 0.642122i | ||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 6.57602 | − | 22.9637i | 0.294678 | − | 1.02903i | ||||
\(499\) | −18.7402 | −0.838926 | −0.419463 | − | 0.907772i | \(-0.637782\pi\) | ||||
−0.419463 | + | 0.907772i | \(0.637782\pi\) | |||||||
\(500\) | 2.87493 | − | 1.59996i | 0.128571 | − | 0.0715526i | ||||
\(501\) | 6.66242 | − | 23.2655i | 0.297655 | − | 1.03942i | ||||
\(502\) | −0.244046 | −0.0108923 | ||||||||
\(503\) | − | 32.0398i | − | 1.42858i | −0.699849 | − | 0.714291i | \(-0.746749\pi\) | ||
0.699849 | − | 0.714291i | \(-0.253251\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.4114 | − | 28.1442i | 0.463303 | − | 1.25240i | ||||
\(506\) | − | 4.92881i | − | 0.219112i | ||||||
\(507\) | −1.47004 | − | 0.420968i | −0.0652867 | − | 0.0186958i | ||||
\(508\) | − | 2.81855i | − | 0.125053i | ||||||
\(509\) | −19.1493 | −0.848778 | −0.424389 | − | 0.905480i | \(-0.639511\pi\) | ||||
−0.424389 | + | 0.905480i | \(0.639511\pi\) | |||||||
\(510\) | −16.9166 | − | 12.4178i | −0.749079 | − | 0.549869i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 15.8265 | 0.699439 | ||||||||
\(513\) | −4.71559 | + | 4.25494i | −0.208198 | + | 0.187860i | ||||
\(514\) | 19.8883i | 0.877235i | ||||||||
\(515\) | 4.48948 | − | 12.1360i | 0.197830 | − | 0.534775i | ||||
\(516\) | −0.419977 | + | 1.46658i | −0.0184885 | + | 0.0645625i | ||||
\(517\) | 13.1082 | 0.576499 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 4.76960 | − | 16.6557i | 0.209362 | − | 0.731102i | ||||
\(520\) | −6.97728 | + | 18.8610i | −0.305974 | + | 0.827110i | ||||
\(521\) | −3.88209 | −0.170077 | −0.0850387 | − | 0.996378i | \(-0.527101\pi\) | ||||
−0.0850387 | + | 0.996378i | \(0.527101\pi\) | |||||||
\(522\) | 14.3269 | − | 22.9637i | 0.627072 | − | 1.00510i | ||||
\(523\) | −2.12383 | −0.0928687 | −0.0464343 | − | 0.998921i | \(-0.514786\pi\) | ||||
−0.0464343 | + | 0.998921i | \(0.514786\pi\) | |||||||
\(524\) | 2.78100 | 0.121488 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −26.8562 | −1.17099 | ||||||||
\(527\) | 11.3631 | 0.494986 | ||||||||
\(528\) | 4.61172 | − | 16.1043i | 0.200700 | − | 0.700851i | ||||
\(529\) | −20.7057 | −0.900249 | ||||||||
\(530\) | 13.1918 | − | 35.6601i | 0.573015 | − | 1.54898i | ||||
\(531\) | 5.52156 | + | 3.44486i | 0.239615 | + | 0.149494i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −41.3138 | −1.78950 | ||||||||
\(534\) | 4.48922 | + | 1.28556i | 0.194267 | + | 0.0556315i | ||||
\(535\) | −3.01514 | + | 8.15055i | −0.130356 | + | 0.352379i | ||||
\(536\) | 26.6570i | 1.15141i | ||||||||
\(537\) | −7.72922 | + | 26.9908i | −0.333541 | + | 1.16474i | ||||
\(538\) | 6.67354 | 0.287717 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −3.17561 | + | 1.26754i | −0.136656 | + | 0.0545462i | ||||
\(541\) | −15.1810 | −0.652684 | −0.326342 | − | 0.945252i | \(-0.605816\pi\) | ||||
−0.326342 | + | 0.945252i | \(0.605816\pi\) | |||||||
\(542\) | 35.7300i | 1.53473i | ||||||||
\(543\) | 9.25641 | − | 32.3238i | 0.397231 | − | 1.38715i | ||||
\(544\) | − | 5.90879i | − | 0.253337i | ||||||
\(545\) | −4.04017 | + | 10.9214i | −0.173062 | + | 0.467821i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 11.7540i | − | 0.502566i | −0.967914 | − | 0.251283i | \(-0.919148\pi\) | ||
0.967914 | − | 0.251283i | \(-0.0808525\pi\) | |||||||
\(548\) | 3.15042 | 0.134579 | ||||||||
\(549\) | −5.39707 | + | 8.65063i | −0.230341 | + | 0.369200i | ||||
\(550\) | −10.5886 | + | 12.3530i | −0.451498 | + | 0.526733i | ||||
\(551\) | −7.28081 | −0.310173 | ||||||||
\(552\) | 6.51629 | + | 1.86604i | 0.277352 | + | 0.0794239i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | − | 19.4362i | − | 0.825763i | ||||||
\(555\) | −24.3634 | − | 17.8842i | −1.03417 | − | 0.759142i | ||||
\(556\) | − | 1.20989i | − | 0.0513108i | ||||||
\(557\) | −9.40270 | −0.398405 | −0.199203 | − | 0.979958i | \(-0.563835\pi\) | ||||
−0.199203 | + | 0.979958i | \(0.563835\pi\) | |||||||
\(558\) | 7.64051 | − | 12.2465i | 0.323449 | − | 0.518436i | ||||
\(559\) | 10.4183i | 0.440649i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 12.7962 | + | 3.66440i | 0.540258 | + | 0.154711i | ||||
\(562\) | − | 32.1716i | − | 1.35708i | ||||||
\(563\) | − | 19.5266i | − | 0.822949i | −0.911421 | − | 0.411475i | \(-0.865014\pi\) | ||
0.911421 | − | 0.411475i | \(-0.134986\pi\) | |||||||
\(564\) | 0.856203 | − | 2.98990i | 0.0360526 | − | 0.125897i | ||||
\(565\) | −7.26340 | + | 19.6344i | −0.305573 | + | 0.826027i | ||||
\(566\) | −9.92744 | −0.417281 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 26.8615i | − | 1.12708i | ||||||
\(569\) | 12.8982i | 0.540722i | 0.962759 | + | 0.270361i | \(0.0871430\pi\) | ||||
−0.962759 | + | 0.270361i | \(0.912857\pi\) | |||||||
\(570\) | 5.78049 | + | 4.24322i | 0.242118 | + | 0.177729i | ||||
\(571\) | −41.6642 | −1.74359 | −0.871796 | − | 0.489869i | \(-0.837045\pi\) | ||||
−0.871796 | + | 0.489869i | \(0.837045\pi\) | |||||||
\(572\) | 2.20068i | 0.0920151i | ||||||||
\(573\) | 6.05758 | − | 21.1533i | 0.253059 | − | 0.883692i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −5.75012 | − | 4.92881i | −0.239797 | − | 0.205545i | ||||
\(576\) | 16.5492 | + | 10.3249i | 0.689549 | + | 0.430205i | ||||
\(577\) | 7.48978 | 0.311804 | 0.155902 | − | 0.987773i | \(-0.450172\pi\) | ||||
0.155902 | + | 0.987773i | \(0.450172\pi\) | |||||||
\(578\) | −6.36739 | −0.264848 | ||||||||
\(579\) | 9.92744 | − | 34.6670i | 0.412570 | − | 1.44071i | ||||
\(580\) | −3.67605 | − | 1.35989i | −0.152640 | − | 0.0564663i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 3.34395 | + | 0.957590i | 0.138611 | + | 0.0396934i | ||||
\(583\) | 24.1169i | 0.998819i | ||||||||
\(584\) | −17.7123 | −0.732939 | ||||||||
\(585\) | −18.4661 | + | 14.2924i | −0.763481 | + | 0.590920i | ||||
\(586\) | − | 5.63369i | − | 0.232726i | ||||||
\(587\) | 22.1920i | 0.915961i | 0.888962 | + | 0.457981i | \(0.151427\pi\) | ||||
−0.888962 | + | 0.457981i | \(0.848573\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.88284 | −0.159990 | ||||||||
\(590\) | 2.54922 | − | 6.89106i | 0.104950 | − | 0.283701i | ||||
\(591\) | −3.72097 | − | 1.06556i | −0.153060 | − | 0.0438311i | ||||
\(592\) | − | 35.1310i | − | 1.44388i | ||||||
\(593\) | 6.31375i | 0.259275i | 0.991561 | + | 0.129637i | \(0.0413813\pi\) | ||||
−0.991561 | + | 0.129637i | \(0.958619\pi\) | |||||||
\(594\) | 12.5534 | − | 11.3271i | 0.515072 | − | 0.464757i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0.748572i | 0.0306627i | ||||||||
\(597\) | 11.8836 | − | 41.4982i | 0.486365 | − | 1.69841i | ||||
\(598\) | −7.98632 | −0.326585 | ||||||||
\(599\) | − | 20.6648i | − | 0.844339i | −0.906517 | − | 0.422170i | \(-0.861269\pi\) | ||
0.906517 | − | 0.422170i | \(-0.138731\pi\) | |||||||
\(600\) | −12.3229 | − | 18.6758i | −0.503078 | − | 0.762435i | ||||
\(601\) | − | 12.5956i | − | 0.513785i | −0.966440 | − | 0.256892i | \(-0.917301\pi\) | ||
0.966440 | − | 0.256892i | \(-0.0826986\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −16.3841 | + | 26.2611i | −0.667213 | + | 1.06943i | ||||
\(604\) | −1.65360 | −0.0672839 | ||||||||
\(605\) | −4.95339 | + | 13.3900i | −0.201384 | + | 0.544381i | ||||
\(606\) | 33.8474 | + | 9.69272i | 1.37496 | + | 0.393740i | ||||
\(607\) | −42.6766 | −1.73219 | −0.866095 | − | 0.499879i | \(-0.833378\pi\) | ||||
−0.866095 | + | 0.499879i | \(0.833378\pi\) | |||||||
\(608\) | 2.01906i | 0.0818838i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.7962 | + | 3.99387i | 0.437127 | + | 0.161707i | ||||
\(611\) | − | 21.2397i | − | 0.859268i | ||||||
\(612\) | 1.67165 | − | 2.67938i | 0.0675724 | − | 0.108308i | ||||
\(613\) | − | 5.32284i | − | 0.214988i | −0.994206 | − | 0.107494i | \(-0.965717\pi\) | ||
0.994206 | − | 0.107494i | \(-0.0342826\pi\) | |||||||
\(614\) | 16.9800 | 0.685255 | ||||||||
\(615\) | 27.2004 | − | 37.0547i | 1.09683 | − | 1.49419i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −30.1002 | −1.21179 | −0.605895 | − | 0.795545i | \(-0.707185\pi\) | ||||
−0.605895 | + | 0.795545i | \(0.707185\pi\) | |||||||
\(618\) | 14.5952 | + | 4.17956i | 0.587105 | + | 0.168127i | ||||
\(619\) | 12.7323i | 0.511753i | 0.966710 | + | 0.255876i | \(0.0823640\pi\) | ||||
−0.966710 | + | 0.255876i | \(0.917636\pi\) | |||||||
\(620\) | −1.96043 | − | 0.725225i | −0.0787328 | − | 0.0291258i | ||||
\(621\) | 5.27259 | + | 5.84341i | 0.211582 | + | 0.234488i | ||||
\(622\) | −28.6594 | −1.14914 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −26.0944 | − | 7.47254i | −1.04461 | − | 0.299141i | ||||
\(625\) | 3.82288 | + | 24.7060i | 0.152915 | + | 0.988239i | ||||
\(626\) | −24.8113 | −0.991659 | ||||||||
\(627\) | −4.37254 | − | 1.25214i | −0.174623 | − | 0.0500058i | ||||
\(628\) | 4.09753 | 0.163509 | ||||||||
\(629\) | 27.9145 | 1.11303 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.4114 | −0.693138 | −0.346569 | − | 0.938024i | \(-0.612653\pi\) | ||||
−0.346569 | + | 0.938024i | \(0.612653\pi\) | |||||||
\(632\) | −4.86457 | −0.193502 | ||||||||
\(633\) | −11.0151 | − | 3.15435i | −0.437811 | − | 0.125374i | ||||
\(634\) | 15.3237 | 0.608581 | ||||||||
\(635\) | 20.0862 | + | 7.43053i | 0.797098 | + | 0.294872i | ||||
\(636\) | 5.50089 | + | 1.57526i | 0.218125 | + | 0.0624633i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 19.3823 | 0.767353 | ||||||||
\(639\) | 16.5098 | − | 26.4625i | 0.653118 | − | 1.04684i | ||||
\(640\) | 10.2035 | − | 27.5821i | 0.403328 | − | 1.09028i | ||||
\(641\) | − | 1.31513i | − | 0.0519444i | −0.999663 | − | 0.0259722i | \(-0.991732\pi\) | ||
0.999663 | − | 0.0259722i | \(-0.00826814\pi\) | |||||||
\(642\) | −9.80217 | − | 2.80700i | −0.386861 | − | 0.110784i | ||||
\(643\) | 39.2223 | 1.54678 | 0.773389 | − | 0.633932i | \(-0.218560\pi\) | ||||
0.773389 | + | 0.633932i | \(0.218560\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −9.34429 | − | 6.85927i | −0.367931 | − | 0.270083i | ||||
\(646\) | −6.62304 | −0.260580 | ||||||||
\(647\) | − | 6.23116i | − | 0.244972i | −0.992470 | − | 0.122486i | \(-0.960913\pi\) | ||
0.992470 | − | 0.122486i | \(-0.0390867\pi\) | |||||||
\(648\) | 10.2227 | + | 20.8850i | 0.401584 | + | 0.820442i | ||||
\(649\) | 4.66042i | 0.182937i | ||||||||
\(650\) | 20.0160 | + | 17.1570i | 0.785092 | + | 0.672954i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | − | 1.19793i | − | 0.0469144i | ||||||
\(653\) | 18.8618 | 0.738120 | 0.369060 | − | 0.929406i | \(-0.379680\pi\) | ||||
0.369060 | + | 0.929406i | \(0.379680\pi\) | |||||||
\(654\) | −13.1345 | − | 3.76127i | −0.513599 | − | 0.147077i | ||||
\(655\) | −7.33152 | + | 19.8186i | −0.286466 | + | 0.774377i | ||||
\(656\) | 53.4314 | 2.08615 | ||||||||
\(657\) | −17.4492 | − | 10.8864i | −0.680759 | − | 0.424721i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 41.6170i | − | 1.62117i | −0.585622 | − | 0.810584i | \(-0.699150\pi\) | ||
0.585622 | − | 0.810584i | \(-0.300850\pi\) | |||||||
\(660\) | −1.97381 | − | 1.44889i | −0.0768304 | − | 0.0563981i | ||||
\(661\) | 3.77854i | 0.146968i | 0.997296 | + | 0.0734842i | \(0.0234118\pi\) | ||||
−0.997296 | + | 0.0734842i | \(0.976588\pi\) | |||||||
\(662\) | −29.1963 | −1.13475 | ||||||||
\(663\) | 5.93756 | − | 20.7342i | 0.230596 | − | 0.805250i | ||||
\(664\) | 23.5236i | 0.912894i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 18.7696 | − | 30.0846i | 0.727307 | − | 1.16576i | ||||
\(667\) | 9.02216i | 0.349339i | ||||||||
\(668\) | − | 4.11175i | − | 0.159088i | ||||||
\(669\) | 7.17712 | + | 2.05528i | 0.277484 | + | 0.0794617i | ||||
\(670\) | 32.7746 | + | 12.1244i | 1.26619 | + | 0.468405i | ||||
\(671\) | −7.30148 | −0.281871 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 31.2573i | 1.20488i | 0.798163 | + | 0.602441i | \(0.205805\pi\) | ||||
−0.798163 | + | 0.602441i | \(0.794195\pi\) | |||||||
\(674\) | 35.8043i | 1.37913i | ||||||||
\(675\) | −0.661201 | − | 25.9723i | −0.0254496 | − | 0.999676i | ||||
\(676\) | −0.259803 | −0.00999242 | ||||||||
\(677\) | 8.73789i | 0.335824i | 0.985802 | + | 0.167912i | \(0.0537025\pi\) | ||||
−0.985802 | + | 0.167912i | \(0.946297\pi\) | |||||||
\(678\) | −23.6132 | − | 6.76199i | −0.906858 | − | 0.259693i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 19.3823 | + | 7.17013i | 0.743278 | + | 0.274962i | ||||
\(681\) | 5.29820 | − | 18.5015i | 0.203027 | − | 0.708981i | ||||
\(682\) | 10.3365 | 0.395807 | ||||||||
\(683\) | −21.8692 | −0.836801 | −0.418401 | − | 0.908263i | \(-0.637409\pi\) | ||||
−0.418401 | + | 0.908263i | \(0.637409\pi\) | |||||||
\(684\) | −0.571211 | + | 0.915559i | −0.0218408 | + | 0.0350073i | ||||
\(685\) | −8.30544 | + | 22.4513i | −0.317334 | + | 0.857819i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 4.75594 | − | 16.6079i | 0.181450 | − | 0.633632i | ||||
\(688\) | − | 13.4741i | − | 0.513695i | ||||||
\(689\) | 39.0774 | 1.48873 | ||||||||
\(690\) | 5.25807 | − | 7.16300i | 0.200171 | − | 0.272691i | ||||
\(691\) | − | 22.5359i | − | 0.857306i | −0.903469 | − | 0.428653i | \(-0.858988\pi\) | ||
0.903469 | − | 0.428653i | \(-0.141012\pi\) | |||||||
\(692\) | − | 2.94359i | − | 0.111898i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 24.0944 | 0.914612 | ||||||||
\(695\) | 8.62221 | + | 3.18963i | 0.327059 | + | 0.120989i | ||||
\(696\) | −7.33811 | + | 25.6250i | −0.278151 | + | 0.971313i | ||||
\(697\) | 42.4557i | 1.60813i | ||||||||
\(698\) | 0.0291421i | 0.00110305i | ||||||||
\(699\) | 34.3493 | + | 9.83646i | 1.29921 | + | 0.372049i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 35.5019i | − | 1.34089i | −0.741960 | − | 0.670444i | \(-0.766104\pi\) | ||
0.741960 | − | 0.670444i | \(-0.233896\pi\) | |||||||
\(702\) | −18.3537 | − | 20.3407i | −0.692716 | − | 0.767711i | ||||
\(703\) | −9.53855 | −0.359753 | ||||||||
\(704\) | 13.9682i | 0.526445i | ||||||||
\(705\) | 19.0501 | + | 13.9839i | 0.717468 | + | 0.526665i | ||||
\(706\) | − | 38.5033i | − | 1.44909i | ||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 1.06301 | + | 0.304409i | 0.0399503 | + | 0.0114404i | ||||
\(709\) | 4.06780 | 0.152769 | 0.0763847 | − | 0.997078i | \(-0.475662\pi\) | ||||
0.0763847 | + | 0.997078i | \(0.475662\pi\) | |||||||
\(710\) | −33.0260 | − | 12.2174i | −1.23944 | − | 0.458510i | ||||
\(711\) | −4.79232 | − | 2.98990i | −0.179726 | − | 0.112130i | ||||
\(712\) | −4.59867 | −0.172342 | ||||||||
\(713\) | 4.81149i | 0.180192i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −15.6830 | − | 5.80164i | −0.586511 | − | 0.216969i | ||||
\(716\) | 4.77014i | 0.178268i | ||||||||
\(717\) | −1.37019 | + | 4.78477i | −0.0511708 | + | 0.178691i | ||||
\(718\) | 36.6235i | 1.36678i | ||||||||
\(719\) | 30.5405 | 1.13897 | 0.569484 | − | 0.822002i | \(-0.307143\pi\) | ||||
0.569484 | + | 0.822002i | \(0.307143\pi\) | |||||||
\(720\) | 23.8824 | − | 18.4845i | 0.890043 | − | 0.688877i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −26.5159 | −0.986821 | ||||||||
\(723\) | −12.4321 | + | 43.4133i | −0.462354 | + | 1.61456i | ||||
\(724\) | − | 5.71265i | − | 0.212309i | ||||||
\(725\) | 19.3823 | − | 22.6121i | 0.719841 | − | 0.839792i | ||||
\(726\) | −16.1034 | − | 4.61145i | −0.597652 | − | 0.171147i | ||||
\(727\) | −23.4181 | −0.868528 | −0.434264 | − | 0.900786i | \(-0.642992\pi\) | ||||
−0.434264 | + | 0.900786i | \(0.642992\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −2.76568 | + | 26.8580i | −0.102433 | + | 0.994740i | ||||
\(730\) | −8.05604 | + | 21.7771i | −0.298168 | + | 0.806007i | ||||
\(731\) | 10.7063 | 0.395986 | ||||||||
\(732\) | −0.476918 | + | 1.66542i | −0.0176274 | + | 0.0615556i | ||||
\(733\) | 16.8907 | 0.623871 | 0.311935 | − | 0.950103i | \(-0.399023\pi\) | ||||
0.311935 | + | 0.950103i | \(0.399023\pi\) | |||||||
\(734\) | 13.7423 | 0.507239 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.50196 | 0.0922235 | ||||||||
\(737\) | −22.1654 | −0.816473 | ||||||||
\(738\) | 45.7563 | + | 28.5470i | 1.68431 | + | 1.05083i | ||||
\(739\) | 27.6642 | 1.01764 | 0.508822 | − | 0.860872i | \(-0.330081\pi\) | ||||
0.508822 | + | 0.860872i | \(0.330081\pi\) | |||||||
\(740\) | −4.81597 | − | 1.78158i | −0.177039 | − | 0.0654922i | ||||
\(741\) | −2.02890 | + | 7.08499i | −0.0745333 | + | 0.260274i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 40.1701 | 1.47370 | 0.736850 | − | 0.676056i | \(-0.236312\pi\) | ||||
0.736850 | + | 0.676056i | \(0.236312\pi\) | |||||||
\(744\) | −3.91340 | + | 13.6658i | −0.143472 | + | 0.501011i | ||||
\(745\) | −5.33465 | − | 1.97346i | −0.195446 | − | 0.0723018i | ||||
\(746\) | − | 23.5741i | − | 0.863109i | ||||||
\(747\) | −14.4583 | + | 23.1742i | −0.529000 | + | 0.847901i | ||||
\(748\) | 2.26151 | 0.0826888 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −28.5665 | + | 6.65659i | −1.04310 | + | 0.243064i | ||||
\(751\) | −49.6376 | −1.81130 | −0.905650 | − | 0.424026i | \(-0.860617\pi\) | ||||
−0.905650 | + | 0.424026i | \(0.860617\pi\) | |||||||
\(752\) | 27.4695i | 1.00171i | ||||||||
\(753\) | 0.268284 | + | 0.0768272i | 0.00977680 | + | 0.00279974i | ||||
\(754\) | − | 31.4059i | − | 1.14373i | ||||||
\(755\) | 4.35936 | − | 11.7842i | 0.158654 | − | 0.428873i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 47.7116i | 1.73411i | 0.498214 | + | 0.867054i | \(0.333989\pi\) | ||||
−0.498214 | + | 0.867054i | \(0.666011\pi\) | |||||||
\(758\) | −51.6484 | −1.87595 | ||||||||
\(759\) | −1.55162 | + | 5.41832i | −0.0563202 | + | 0.196672i | ||||
\(760\) | −6.62304 | − | 2.45007i | −0.240243 | − | 0.0888734i | ||||
\(761\) | −19.8342 | −0.718990 | −0.359495 | − | 0.933147i | \(-0.617051\pi\) | ||||
−0.359495 | + | 0.933147i | \(0.617051\pi\) | |||||||
\(762\) | −6.91759 | + | 24.1565i | −0.250598 | + | 0.875098i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | − | 3.73847i | − | 0.135253i | ||||||
\(765\) | 14.6875 | + | 18.9765i | 0.531027 | + | 0.686098i | ||||
\(766\) | 16.0203i | 0.578838i | ||||||||
\(767\) | 7.55144 | 0.272667 | ||||||||
\(768\) | 11.5182 | + | 3.29841i | 0.415626 | + | 0.119021i | ||||
\(769\) | − | 10.6337i | − | 0.383461i | −0.981448 | − | 0.191731i | \(-0.938590\pi\) | ||
0.981448 | − | 0.191731i | \(-0.0614100\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 6.26096 | − | 21.8635i | 0.225483 | − | 0.787396i | ||||
\(772\) | − | 6.12678i | − | 0.220508i | ||||||
\(773\) | 14.3228i | 0.515154i | 0.966258 | + | 0.257577i | \(0.0829240\pi\) | ||||
−0.966258 | + | 0.257577i | \(0.917076\pi\) | |||||||
\(774\) | 7.19886 | − | 11.5386i | 0.258758 | − | 0.414747i | ||||
\(775\) | 10.3365 | − | 12.0590i | 0.371300 | − | 0.433171i | ||||
\(776\) | −3.42548 | −0.122967 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | − | 25.6508i | − | 0.919626i | ||||||
\(779\) | − | 14.5074i | − | 0.519780i | ||||||
\(780\) | −2.34769 | + | 3.19823i | −0.0840609 | + | 0.114515i | ||||
\(781\) | 22.3354 | 0.799225 | ||||||||
\(782\) | 8.20706i | 0.293484i | ||||||||
\(783\) | −22.9789 | + | 20.7342i | −0.821200 | + | 0.740980i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −10.8023 | + | 29.2007i | −0.385550 | + | 1.04222i | ||||
\(786\) | −23.8346 | − | 6.82541i | −0.850153 | − | 0.243454i | ||||
\(787\) | −36.9341 | −1.31656 | −0.658280 | − | 0.752773i | \(-0.728716\pi\) | ||||
−0.658280 | + | 0.752773i | \(0.728716\pi\) | |||||||
\(788\) | −0.657614 | −0.0234265 | ||||||||
\(789\) | 29.5235 | + | 8.45450i | 1.05106 | + | 0.300988i | ||||
\(790\) | −2.21254 | + | 5.98095i | −0.0787188 | + | 0.212793i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −8.81391 | + | 14.1273i | −0.313189 | + | 0.501991i | ||||
\(793\) | 11.8309i | 0.420126i | ||||||||
\(794\) | −0.617730 | −0.0219224 | ||||||||
\(795\) | −25.7280 | + | 35.0489i | −0.912477 | + | 1.24306i | ||||
\(796\) | − | 7.33405i | − | 0.259949i | ||||||
\(797\) | − | 37.4862i | − | 1.32783i | −0.747809 | − | 0.663914i | \(-0.768894\pi\) | ||
0.747809 | − | 0.663914i | \(-0.231106\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −21.8268 | −0.772177 | ||||||||
\(800\) | −6.27062 | − | 5.37496i | −0.221700 | − | 0.190034i | ||||
\(801\) | −4.53037 | − | 2.82647i | −0.160073 | − | 0.0998683i | ||||
\(802\) | − | 42.3789i | − | 1.49645i | ||||||
\(803\) | − | 14.7278i | − | 0.519734i | ||||||
\(804\) | −1.44780 | + | 5.05578i | −0.0510599 | + | 0.178303i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | − | 16.7487i | − | 0.589947i | ||||||
\(807\) | −7.33633 | − | 2.10087i | −0.258251 | − | 0.0739542i | ||||
\(808\) | −34.6726 | −1.21978 | ||||||||
\(809\) | − | 25.5786i | − | 0.899297i | −0.893206 | − | 0.449649i | \(-0.851549\pi\) | ||
0.893206 | − | 0.449649i | \(-0.148451\pi\) | |||||||
\(810\) | 30.3276 | − | 3.06958i | 1.06560 | − | 0.107854i | ||||
\(811\) | 7.28791i | 0.255913i | 0.991780 | + | 0.127957i | \(0.0408418\pi\) | ||||
−0.991780 | + | 0.127957i | \(0.959158\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 11.2480 | − | 39.2786i | 0.394485 | − | 1.37756i | ||||
\(814\) | 25.3926 | 0.890012 | ||||||||
\(815\) | 8.53694 | + | 3.15808i | 0.299036 | + | 0.110623i | ||||
\(816\) | −7.67908 | + | 26.8157i | −0.268822 | + | 0.938736i | ||||
\(817\) | −3.65840 | −0.127991 | ||||||||
\(818\) | − | 3.96956i | − | 0.138792i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.70964 | − | 7.32470i | 0.0946247 | − | 0.255790i | ||||
\(821\) | 0.00842044i | 0.000293875i | 1.00000 | 0.000146938i | \(4.67717e-5\pi\) | |||||
−1.00000 | 0.000146938i | \(0.999953\pi\) | ||||||||
\(822\) | −27.0008 | − | 7.73210i | −0.941761 | − | 0.269688i | ||||
\(823\) | 31.2239i | 1.08840i | 0.838957 | + | 0.544198i | \(0.183166\pi\) | ||||
−0.838957 | + | 0.544198i | \(0.816834\pi\) | |||||||
\(824\) | −14.9511 | −0.520845 | ||||||||
\(825\) | 15.5290 | − | 10.2465i | 0.540650 | − | 0.356737i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 38.3189 | 1.33248 | 0.666239 | − | 0.745738i | \(-0.267903\pi\) | ||||
0.666239 | + | 0.745738i | \(0.267903\pi\) | |||||||
\(828\) | 1.13453 | + | 0.707827i | 0.0394277 | + | 0.0245987i | ||||
\(829\) | − | 2.24176i | − | 0.0778595i | −0.999242 | − | 0.0389298i | \(-0.987605\pi\) | ||
0.999242 | − | 0.0389298i | \(-0.0123949\pi\) | |||||||
\(830\) | 28.9221 | + | 10.6992i | 1.00390 | + | 0.371375i | ||||
\(831\) | −6.11862 | + | 21.3665i | −0.212253 | + | 0.741195i | ||||
\(832\) | 22.6331 | 0.784663 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −2.96944 | + | 10.3694i | −0.102823 | + | 0.359064i | ||||
\(835\) | 29.3021 | + | 10.8398i | 1.01404 | + | 0.375126i | ||||
\(836\) | −0.772768 | −0.0267268 | ||||||||
\(837\) | −12.2546 | + | 11.0575i | −0.423581 | + | 0.382203i | ||||
\(838\) | 12.7181 | 0.439338 | ||||||||
\(839\) | 20.6544 | 0.713069 | 0.356535 | − | 0.934282i | \(-0.383958\pi\) | ||||
0.356535 | + | 0.934282i | \(0.383958\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −6.47924 | −0.223422 | ||||||||
\(842\) | 11.8896 | 0.409742 | ||||||||
\(843\) | −10.1278 | + | 35.3668i | −0.348820 | + | 1.21810i | ||||
\(844\) | −1.94672 | −0.0670090 | ||||||||
\(845\) | 0.684916 | − | 1.85147i | 0.0235618 | − | 0.0636924i | ||||
\(846\) | −14.6762 | + | 23.5236i | −0.504579 | + | 0.808759i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −50.5391 | −1.73552 | ||||||||
\(849\) | 10.9134 | + | 3.12522i | 0.374547 | + | 0.107257i | ||||
\(850\) | 17.6312 | − | 20.5692i | 0.604747 | − | 0.705519i | ||||
\(851\) | 11.8199i | 0.405180i | ||||||||
\(852\) | 1.45891 | − | 5.09456i | 0.0499813 | − | 0.174537i | ||||
\(853\) | −7.06831 | −0.242014 | −0.121007 | − | 0.992652i | \(-0.538612\pi\) | ||||
−0.121007 | + | 0.992652i | \(0.538612\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −5.01879 | − | 6.48438i | −0.171639 | − | 0.221761i | ||||
\(856\) | 10.0412 | 0.343200 | ||||||||
\(857\) | − | 16.8332i | − | 0.575012i | −0.957779 | − | 0.287506i | \(-0.907174\pi\) | ||
0.957779 | − | 0.287506i | \(-0.0928261\pi\) | |||||||
\(858\) | 5.40114 | − | 18.8610i | 0.184392 | − | 0.643904i | ||||
\(859\) | 35.1835i | 1.20045i | 0.799832 | + | 0.600223i | \(0.204922\pi\) | ||||
−0.799832 | + | 0.600223i | \(0.795078\pi\) | |||||||
\(860\) | −1.84711 | − | 0.683304i | −0.0629859 | − | 0.0233005i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 18.5665i | 0.632376i | ||||||||
\(863\) | 37.9758 | 1.29271 | 0.646356 | − | 0.763036i | \(-0.276292\pi\) | ||||
0.646356 | + | 0.763036i | \(0.276292\pi\) | |||||||
\(864\) | 5.74986 | + | 6.37236i | 0.195614 | + | 0.216792i | ||||
\(865\) | 20.9773 | + | 7.76016i | 0.713249 | + | 0.263853i | ||||
\(866\) | −7.78484 | −0.264540 | ||||||||
\(867\) | 6.99977 | + | 2.00449i | 0.237725 | + | 0.0680761i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | − | 4.04491i | − | 0.137214i | ||||||
\(870\) | 28.1682 | + | 20.6771i | 0.954991 | + | 0.701020i | ||||
\(871\) | 35.9154i | 1.21695i | ||||||||
\(872\) | 13.4547 | 0.455635 | ||||||||
\(873\) | −3.37460 | − | 2.10539i | −0.114213 | − | 0.0712566i | ||||
\(874\) | − | 2.80440i | − | 0.0948601i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −3.35932 | − | 0.961992i | −0.113501 | − | 0.0325027i | ||||
\(877\) | − | 11.4496i | − | 0.386626i | −0.981137 | − | 0.193313i | \(-0.938077\pi\) | ||
0.981137 | − | 0.193313i | \(-0.0619233\pi\) | |||||||
\(878\) | − | 25.2942i | − | 0.853638i | ||||||
\(879\) | −1.77352 | + | 6.19321i | −0.0598194 | + | 0.208892i | ||||
\(880\) | 20.2829 | + | 7.50329i | 0.683737 | + | 0.252936i | ||||
\(881\) | −23.6698 | −0.797455 | −0.398728 | − | 0.917069i | \(-0.630548\pi\) | ||||
−0.398728 | + | 0.917069i | \(0.630548\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 16.8355i | − | 0.566560i | −0.959037 | − | 0.283280i | \(-0.908577\pi\) | ||
0.959037 | − | 0.283280i | \(-0.0914226\pi\) | |||||||
\(884\) | − | 3.66440i | − | 0.123247i | ||||||
\(885\) | −4.97175 | + | 6.77295i | −0.167124 | + | 0.227670i | ||||
\(886\) | 0.382035 | 0.0128347 | ||||||||
\(887\) | − | 52.5834i | − | 1.76558i | −0.469770 | − | 0.882789i | \(-0.655663\pi\) | ||
0.469770 | − | 0.882789i | \(-0.344337\pi\) | |||||||
\(888\) | −9.61362 | + | 33.5712i | −0.322612 | + | 1.12657i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −2.09160 | + | 5.65403i | −0.0701107 | + | 0.189524i | ||||
\(891\) | −17.3660 | + | 8.50018i | −0.581783 | + | 0.284767i | ||||
\(892\) | 1.26843 | 0.0424701 | ||||||||
\(893\) | 7.45833 | 0.249584 | ||||||||
\(894\) | 1.83722 | − | 6.41566i | 0.0614460 | − | 0.214572i | ||||
\(895\) | −33.9941 | − | 12.5755i | −1.13630 | − | 0.420352i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 8.77950 | + | 2.51414i | 0.293139 | + | 0.0839448i | ||||
\(898\) | − | 43.7305i | − | 1.45931i | ||||||
\(899\) | −18.9210 | −0.631050 | ||||||||
\(900\) | −1.32284 | − | 4.21133i | −0.0440945 | − | 0.140378i | ||||
\(901\) | − | 40.1575i | − | 1.33784i | ||||||
\(902\) | 38.6201i | 1.28591i | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 24.1889 | 0.804510 | ||||||||
\(905\) | 40.7108 | + | 15.0602i | 1.35327 | + | 0.500619i | ||||
\(906\) | 14.1722 | + | 4.05843i | 0.470840 | + | 0.134832i | ||||
\(907\) | − | 50.7715i | − | 1.68584i | −0.538038 | − | 0.842920i | \(-0.680834\pi\) | ||
0.538038 | − | 0.842920i | \(-0.319166\pi\) | |||||||
\(908\) | − | 3.26981i | − | 0.108513i | ||||||
\(909\) | −34.1577 | − | 21.3107i | −1.13294 | − | 0.706832i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 16.1165i | − | 0.533963i | −0.963702 | − | 0.266981i | \(-0.913974\pi\) | ||
0.963702 | − | 0.266981i | \(-0.0860262\pi\) | |||||||
\(912\) | 2.62398 | − | 9.16306i | 0.0868887 | − | 0.303419i | ||||
\(913\) | −19.5600 | −0.647341 | ||||||||
\(914\) | 36.4639i | 1.20612i | ||||||||
\(915\) | −10.6112 | − | 7.78925i | −0.350795 | − | 0.257505i | ||||
\(916\) | − | 2.93515i | − | 0.0969802i | ||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −20.9029 | + | 18.8610i | −0.689900 | + | 0.622506i | ||||
\(919\) | 39.7441 | 1.31104 | 0.655519 | − | 0.755179i | \(-0.272450\pi\) | ||||
0.655519 | + | 0.755179i | \(0.272450\pi\) | |||||||
\(920\) | −3.03605 | + | 8.20706i | −0.100096 | + | 0.270579i | ||||
\(921\) | −18.6663 | − | 5.34539i | −0.615077 | − | 0.176137i | ||||
\(922\) | −60.3920 | −1.98890 | ||||||||
\(923\) | − | 36.1909i | − | 1.19124i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 25.3926 | − | 29.6240i | 0.834905 | − | 0.974030i | ||||
\(926\) | − | 45.2008i | − | 1.48539i | ||||||
\(927\) | −14.7290 | − | 9.18932i | −0.483764 | − | 0.301817i | ||||
\(928\) | 9.83885i | 0.322976i | ||||||||
\(929\) | −36.5187 | −1.19814 | −0.599069 | − | 0.800697i | \(-0.704463\pi\) | ||||
−0.599069 | + | 0.800697i | \(0.704463\pi\) | |||||||
\(930\) | 15.0220 | + | 11.0271i | 0.492591 | + | 0.361592i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 6.07063 | 0.198850 | ||||||||
\(933\) | 31.5058 | + | 9.02216i | 1.03145 | + | 0.295372i | ||||
\(934\) | 6.33388i | 0.207251i | ||||||||
\(935\) | −5.96199 | + | 16.1165i | −0.194978 | + | 0.527065i | ||||
\(936\) | 22.8909 | + | 14.2815i | 0.748214 | + | 0.466805i | ||||
\(937\) | −7.60980 | −0.248601 | −0.124301 | − | 0.992245i | \(-0.539669\pi\) | ||||
−0.124301 | + | 0.992245i | \(0.539669\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 27.2755 | + | 7.81075i | 0.890102 | + | 0.254894i | ||||
\(940\) | 3.76568 | + | 1.39304i | 0.122823 | + | 0.0454361i | ||||
\(941\) | −22.0242 | −0.717969 | −0.358985 | − | 0.933343i | \(-0.616877\pi\) | ||||
−0.358985 | + | 0.933343i | \(0.616877\pi\) | |||||||
\(942\) | −35.1180 | − | 10.0566i | −1.14421 | − | 0.327661i | ||||
\(943\) | −17.9771 | −0.585413 | ||||||||
\(944\) | −9.76632 | −0.317867 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 9.73904 | 0.316644 | ||||||||
\(947\) | −49.2583 | −1.60068 | −0.800339 | − | 0.599547i | \(-0.795347\pi\) | ||||
−0.800339 | + | 0.599547i | \(0.795347\pi\) | |||||||
\(948\) | −0.922616 | − | 0.264205i | −0.0299652 | − | 0.00858099i | ||||
\(949\) | −23.8640 | −0.774660 | ||||||||
\(950\) | −6.02469 | + | 7.02861i | −0.195467 | + | 0.228038i | ||||
\(951\) | −16.8456 | − | 4.82399i | −0.546255 | − | 0.156429i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −10.2538 | −0.332154 | −0.166077 | − | 0.986113i | \(-0.553110\pi\) | ||||
−0.166077 | + | 0.986113i | \(0.553110\pi\) | |||||||
\(954\) | −43.2794 | − | 27.0017i | −1.40122 | − | 0.874213i | ||||
\(955\) | 26.6419 | + | 9.85570i | 0.862113 | + | 0.318923i | ||||
\(956\) | 0.845623i | 0.0273494i | ||||||||
\(957\) | −21.3073 | − | 6.10167i | −0.688767 | − | 0.197239i | ||||
\(958\) | −42.3131 | −1.36708 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −14.9013 | + | 20.2998i | −0.480937 | + | 0.655174i | ||||
\(961\) | 20.9095 | 0.674499 | ||||||||
\(962\) | − | 41.1446i | − | 1.32656i | ||||||
\(963\) | 9.89203 | + | 6.17157i | 0.318766 | + | 0.198876i | ||||
\(964\) | 7.67253i | 0.247115i | ||||||||
\(965\) | 43.6621 | + | 16.1520i | 1.40553 | + | 0.519951i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.62632i | 0.148772i | 0.997230 | + | 0.0743862i | \(0.0236998\pi\) | ||||
−0.997230 | + | 0.0743862i | \(0.976300\pi\) | |||||||
\(968\) | 16.4960 | 0.530201 | ||||||||
\(969\) | 7.28081 | + | 2.08497i | 0.233893 | + | 0.0669790i | ||||
\(970\) | −1.55800 | + | 4.21160i | −0.0500245 | + | 0.135226i | ||||
\(971\) | −25.2886 | −0.811549 | −0.405775 | − | 0.913973i | \(-0.632998\pi\) | ||||
−0.405775 | + | 0.913973i | \(0.632998\pi\) | |||||||
\(972\) | 0.804521 | + | 4.51628i | 0.0258050 | + | 0.144860i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 56.4119i | 1.80755i | ||||||||
\(975\) | −16.6028 | − | 25.1622i | −0.531715 | − | 0.805834i | ||||
\(976\) | − | 15.3009i | − | 0.489770i | ||||||
\(977\) | 24.1098 | 0.771340 | 0.385670 | − | 0.922637i | \(-0.373970\pi\) | ||||
0.385670 | + | 0.922637i | \(0.373970\pi\) | |||||||
\(978\) | −2.94008 | + | 10.2669i | −0.0940133 | + | 0.328298i | ||||
\(979\) | − | 3.82381i | − | 0.122210i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 13.2549 | + | 8.26964i | 0.423196 | + | 0.264029i | ||||
\(982\) | − | 8.94533i | − | 0.285457i | ||||||
\(983\) | − | 48.0882i | − | 1.53378i | −0.641781 | − | 0.766888i | \(-0.721804\pi\) | ||
0.641781 | − | 0.766888i | \(-0.278196\pi\) | |||||||
\(984\) | −51.0590 | − | 14.6215i | −1.62770 | − | 0.466117i | ||||
\(985\) | 1.73366 | − | 4.68644i | 0.0552391 | − | 0.149323i | ||||
\(986\) | −32.2739 | −1.02781 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.25214i | 0.0398360i | ||||||||
\(989\) | 4.53337i | 0.144153i | ||||||||
\(990\) | 13.3606 | + | 17.2621i | 0.424627 | + | 0.548626i | ||||
\(991\) | 29.7175 | 0.944007 | 0.472003 | − | 0.881597i | \(-0.343531\pi\) | ||||
0.472003 | + | 0.881597i | \(0.343531\pi\) | |||||||
\(992\) | 5.24703i | 0.166593i | ||||||||
\(993\) | 32.0960 | + | 9.19119i | 1.01854 | + | 0.291674i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 52.2656 | + | 19.3347i | 1.65693 | + | 0.612952i | ||||
\(996\) | −1.27762 | + | 4.46150i | −0.0404829 | + | 0.141368i | ||||
\(997\) | 26.7483 | 0.847128 | 0.423564 | − | 0.905866i | \(-0.360779\pi\) | ||||
0.423564 | + | 0.905866i | \(0.360779\pi\) | |||||||
\(998\) | 28.3856 | 0.898529 | ||||||||
\(999\) | −30.1046 | + | 27.1638i | −0.952466 | + | 0.859423i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))