Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(37,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.h (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.991381711347.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 37.1 | ||
Root | \(-1.02682 + 1.77851i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 189.37 |
Dual form | 189.2.h.b.46.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.05365 | −1.45215 | −0.726073 | − | 0.687617i | \(-0.758657\pi\) | ||||
−0.726073 | + | 0.687617i | \(0.758657\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 2.21746 | 1.10873 | ||||||||
\(5\) | −0.0731228 | − | 0.126652i | −0.0327015 | − | 0.0566407i | 0.849211 | − | 0.528053i | \(-0.177078\pi\) |
−0.881913 | + | 0.471412i | \(0.843744\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.33035 | − | 1.25278i | −0.880791 | − | 0.473505i | ||||
\(8\) | −0.446582 | −0.157891 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.150168 | + | 0.260099i | 0.0474874 | + | 0.0822506i | ||||
\(11\) | 0.832020 | − | 1.44110i | 0.250864 | − | 0.434508i | −0.712900 | − | 0.701265i | \(-0.752619\pi\) |
0.963764 | + | 0.266757i | \(0.0859521\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0999454 | − | 0.173111i | 0.0277199 | − | 0.0480122i | −0.851833 | − | 0.523814i | \(-0.824509\pi\) |
0.879553 | + | 0.475802i | \(0.157842\pi\) | |||||||
\(14\) | 4.78572 | + | 2.57276i | 1.27904 | + | 0.687599i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.51780 | −0.879449 | ||||||||
\(17\) | −3.13555 | − | 5.43093i | −0.760483 | − | 1.31720i | −0.942602 | − | 0.333919i | \(-0.891629\pi\) |
0.182119 | − | 0.983277i | \(-0.441704\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.45879 | − | 5.99080i | 0.793500 | − | 1.37438i | −0.130287 | − | 0.991476i | \(-0.541590\pi\) |
0.923787 | − | 0.382907i | \(-0.125077\pi\) | |||||||
\(20\) | −0.162147 | − | 0.280847i | −0.0362571 | − | 0.0627992i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.70867 | + | 2.95951i | −0.364291 | + | 0.630970i | ||||
\(23\) | −3.09092 | − | 5.35363i | −0.644501 | − | 1.11631i | −0.984417 | − | 0.175852i | \(-0.943732\pi\) |
0.339916 | − | 0.940456i | \(-0.389601\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.48931 | − | 4.31160i | 0.497861 | − | 0.862321i | ||||
\(26\) | −0.205252 | + | 0.355508i | −0.0402533 | + | 0.0697208i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.16746 | − | 2.77798i | −0.976559 | − | 0.524989i | ||||
\(29\) | 2.46757 | + | 4.27396i | 0.458217 | + | 0.793655i | 0.998867 | − | 0.0475930i | \(-0.0151551\pi\) |
−0.540650 | + | 0.841248i | \(0.681822\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.51780 | −0.452209 | −0.226105 | − | 0.974103i | \(-0.572599\pi\) | ||||
−0.226105 | + | 0.974103i | \(0.572599\pi\) | |||||||
\(32\) | 8.11747 | 1.43498 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.43931 | + | 11.1532i | 1.10433 | + | 1.91276i | ||||
\(35\) | 0.0117348 | + | 0.386752i | 0.00198354 | + | 0.0653730i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.50023 | + | 6.06257i | −0.575434 | + | 0.996681i | 0.420560 | + | 0.907264i | \(0.361833\pi\) |
−0.995994 | + | 0.0894162i | \(0.971500\pi\) | |||||||
\(38\) | −7.10312 | + | 12.3030i | −1.15228 | + | 1.99581i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.0326554 | + | 0.0565608i | 0.00516327 | + | 0.00894304i | ||||
\(41\) | −1.15895 | + | 2.00736i | −0.180998 | + | 0.313498i | −0.942221 | − | 0.334993i | \(-0.891266\pi\) |
0.761223 | + | 0.648491i | \(0.224599\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.940993 | − | 1.62985i | −0.143500 | − | 0.248550i | 0.785312 | − | 0.619100i | \(-0.212502\pi\) |
−0.928812 | + | 0.370550i | \(0.879169\pi\) | |||||||
\(44\) | 1.84497 | − | 3.19558i | 0.278140 | − | 0.481752i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.34765 | + | 10.9944i | 0.935910 | + | 1.62104i | ||||
\(47\) | 1.81177 | 0.264275 | 0.132137 | − | 0.991231i | \(-0.457816\pi\) | ||||
0.132137 | + | 0.991231i | \(0.457816\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.86110 | + | 5.83883i | 0.551586 | + | 0.834118i | ||||
\(50\) | −5.11215 | + | 8.85451i | −0.722967 | + | 1.25222i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.221625 | − | 0.383865i | 0.0307338 | − | 0.0532325i | ||||
\(53\) | 2.67307 | + | 4.62989i | 0.367174 | + | 0.635964i | 0.989123 | − | 0.147094i | \(-0.0469920\pi\) |
−0.621948 | + | 0.783058i | \(0.713659\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.243359 | −0.0328145 | ||||||||
\(56\) | 1.04069 | + | 0.559468i | 0.139069 | + | 0.0747621i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.06752 | − | 8.77720i | −0.665398 | − | 1.15250i | ||||
\(59\) | 4.57099 | 0.595092 | 0.297546 | − | 0.954708i | \(-0.403832\pi\) | ||||
0.297546 | + | 0.954708i | \(0.403832\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.678276 | −0.0868443 | −0.0434221 | − | 0.999057i | \(-0.513826\pi\) | ||||
−0.0434221 | + | 0.999057i | \(0.513826\pi\) | |||||||
\(62\) | 5.17066 | 0.656674 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −9.63481 | −1.20435 | ||||||||
\(65\) | −0.0292332 | −0.00362593 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.18684 | −0.755842 | −0.377921 | − | 0.925838i | \(-0.623361\pi\) | ||||
−0.377921 | + | 0.925838i | \(0.623361\pi\) | |||||||
\(68\) | −6.95296 | − | 12.0429i | −0.843170 | − | 1.46041i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.0240991 | − | 0.794251i | −0.00288039 | − | 0.0949311i | ||||
\(71\) | −1.27749 | −0.151611 | −0.0758053 | − | 0.997123i | \(-0.524153\pi\) | ||||
−0.0758053 | + | 0.997123i | \(0.524153\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.778603 | − | 1.34858i | −0.0911286 | − | 0.157839i | 0.816858 | − | 0.576839i | \(-0.195714\pi\) |
−0.907986 | + | 0.419000i | \(0.862381\pi\) | |||||||
\(74\) | 7.18823 | − | 12.4504i | 0.835614 | − | 1.44733i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.66972 | − | 13.2843i | 0.879777 | − | 1.52382i | ||||
\(77\) | −3.74428 | + | 2.31594i | −0.426700 | + | 0.263926i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.7957 | 1.43963 | 0.719817 | − | 0.694164i | \(-0.244226\pi\) | ||||
0.719817 | + | 0.694164i | \(0.244226\pi\) | |||||||
\(80\) | 0.257231 | + | 0.445537i | 0.0287593 | + | 0.0498126i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.38008 | − | 4.12241i | 0.262835 | − | 0.455244i | ||||
\(83\) | −3.75687 | − | 6.50709i | −0.412370 | − | 0.714246i | 0.582778 | − | 0.812631i | \(-0.301966\pi\) |
−0.995148 | + | 0.0983854i | \(0.968632\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.458561 | + | 0.794251i | −0.0497379 | + | 0.0861486i | ||||
\(86\) | 1.93247 | + | 3.34713i | 0.208383 | + | 0.360930i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.371566 | + | 0.643571i | −0.0396090 | + | 0.0686048i | ||||
\(89\) | −4.53394 | + | 7.85301i | −0.480597 | + | 0.832418i | −0.999752 | − | 0.0222619i | \(-0.992913\pi\) |
0.519155 | + | 0.854680i | \(0.326247\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.449777 | + | 0.278199i | −0.0471494 | + | 0.0291632i | ||||
\(92\) | −6.85398 | − | 11.8714i | −0.714577 | − | 1.23768i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.72074 | −0.383765 | ||||||||
\(95\) | −1.01167 | −0.103795 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.98514 | − | 6.90246i | −0.404630 | − | 0.700839i | 0.589649 | − | 0.807660i | \(-0.299266\pi\) |
−0.994278 | + | 0.106821i | \(0.965933\pi\) | |||||||
\(98\) | −7.92933 | − | 11.9909i | −0.800983 | − | 1.21126i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.51993 | − | 9.56080i | 0.551993 | − | 0.956080i | ||||
\(101\) | 7.42150 | − | 12.8544i | 0.738467 | − | 1.27906i | −0.214719 | − | 0.976676i | \(-0.568883\pi\) |
0.953186 | − | 0.302386i | \(-0.0977832\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.101974 | + | 0.176624i | 0.0100478 | + | 0.0174033i | 0.871006 | − | 0.491273i | \(-0.163468\pi\) |
−0.860958 | + | 0.508676i | \(0.830135\pi\) | |||||||
\(104\) | −0.0446339 | + | 0.0773081i | −0.00437671 | + | 0.00758068i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.48953 | − | 9.50815i | −0.533191 | − | 0.923513i | ||||
\(107\) | −3.48444 | + | 6.03524i | −0.336854 | + | 0.583448i | −0.983839 | − | 0.179054i | \(-0.942696\pi\) |
0.646985 | + | 0.762503i | \(0.276030\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.33058 | + | 5.76874i | 0.319012 | + | 0.552545i | 0.980282 | − | 0.197603i | \(-0.0633157\pi\) |
−0.661270 | + | 0.750148i | \(0.729982\pi\) | |||||||
\(110\) | 0.499772 | 0.0476514 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 8.19771 | + | 4.40701i | 0.774611 | + | 0.416424i | ||||
\(113\) | 0.0193234 | − | 0.0334691i | 0.00181779 | − | 0.00314851i | −0.865115 | − | 0.501573i | \(-0.832755\pi\) |
0.866933 | + | 0.498425i | \(0.166088\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.452033 | + | 0.782945i | −0.0421523 | + | 0.0730100i | ||||
\(116\) | 5.47174 | + | 9.47733i | 0.508038 | + | 0.879948i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −9.38718 | −0.864160 | ||||||||
\(119\) | 0.503195 | + | 16.5841i | 0.0461278 | + | 1.52027i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.11548 | + | 7.12823i | 0.374135 | + | 0.648021i | ||||
\(122\) | 1.39294 | 0.126111 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.58311 | −0.501378 | ||||||||
\(125\) | −1.45933 | −0.130526 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 13.4788 | 1.19605 | 0.598027 | − | 0.801476i | \(-0.295952\pi\) | ||||
0.598027 | + | 0.801476i | \(0.295952\pi\) | |||||||
\(128\) | 3.55154 | 0.313915 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.0600345 | 0.00526538 | ||||||||
\(131\) | −9.91665 | − | 17.1761i | −0.866422 | − | 1.50069i | −0.865628 | − | 0.500687i | \(-0.833081\pi\) |
−0.000793988 | − | 1.00000i | \(-0.500253\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −15.5653 | + | 9.62759i | −1.34969 | + | 0.834818i | ||||
\(134\) | 12.7056 | 1.09759 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.40028 | + | 2.42536i | 0.120073 | + | 0.207973i | ||||
\(137\) | −3.22255 | + | 5.58162i | −0.275321 | + | 0.476870i | −0.970216 | − | 0.242241i | \(-0.922117\pi\) |
0.694895 | + | 0.719111i | \(0.255451\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.26527 | − | 10.8518i | 0.531413 | − | 0.920435i | −0.467914 | − | 0.883774i | \(-0.654994\pi\) |
0.999328 | − | 0.0366611i | \(-0.0116722\pi\) | |||||||
\(140\) | 0.0260214 | + | 0.857606i | 0.00219921 | + | 0.0724809i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.62352 | 0.220161 | ||||||||
\(143\) | −0.166313 | − | 0.288063i | −0.0139078 | − | 0.0240890i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.360872 | − | 0.625048i | 0.0299688 | − | 0.0519074i | ||||
\(146\) | 1.59897 | + | 2.76950i | 0.132332 | + | 0.229206i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.76161 | + | 13.4435i | −0.638000 | + | 1.10505i | ||||
\(149\) | 8.88364 | + | 15.3869i | 0.727776 | + | 1.26054i | 0.957821 | + | 0.287365i | \(0.0927792\pi\) |
−0.230045 | + | 0.973180i | \(0.573887\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.23300 | + | 7.33177i | −0.344476 | + | 0.596651i | −0.985259 | − | 0.171072i | \(-0.945277\pi\) |
0.640782 | + | 0.767723i | \(0.278610\pi\) | |||||||
\(152\) | −1.54463 | + | 2.67538i | −0.125286 | + | 0.217002i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 7.68942 | − | 4.75612i | 0.619631 | − | 0.383259i | ||||
\(155\) | 0.184108 | + | 0.318885i | 0.0147879 | + | 0.0256135i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.69935 | 0.454858 | 0.227429 | − | 0.973795i | \(-0.426968\pi\) | ||||
0.227429 | + | 0.973795i | \(0.426968\pi\) | |||||||
\(158\) | −26.2779 | −2.09056 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.593572 | − | 1.02810i | −0.0469260 | − | 0.0812782i | ||||
\(161\) | 0.496032 | + | 16.3481i | 0.0390928 | + | 1.28841i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.06267 | + | 1.84060i | −0.0832349 | + | 0.144167i | −0.904638 | − | 0.426181i | \(-0.859859\pi\) |
0.821403 | + | 0.570349i | \(0.193192\pi\) | |||||||
\(164\) | −2.56993 | + | 4.45125i | −0.200678 | + | 0.347584i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.71528 | + | 13.3632i | 0.598821 | + | 1.03719i | ||||
\(167\) | 5.78723 | − | 10.0238i | 0.447829 | − | 0.775663i | −0.550415 | − | 0.834891i | \(-0.685530\pi\) |
0.998244 | + | 0.0592278i | \(0.0188638\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.48002 | + | 11.2237i | 0.498463 | + | 0.863364i | ||||
\(170\) | 0.941721 | − | 1.63111i | 0.0722267 | − | 0.125100i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.08661 | − | 3.61412i | −0.159103 | − | 0.275574i | ||||
\(173\) | 15.9109 | 1.20968 | 0.604842 | − | 0.796345i | \(-0.293236\pi\) | ||||
0.604842 | + | 0.796345i | \(0.293236\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −11.2024 | + | 6.92902i | −0.846825 | + | 0.523785i | ||||
\(176\) | −2.92688 | + | 5.06950i | −0.220622 | + | 0.382128i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 9.31110 | − | 16.1273i | 0.697897 | − | 1.20879i | ||||
\(179\) | −3.87665 | − | 6.71456i | −0.289755 | − | 0.501870i | 0.683996 | − | 0.729485i | \(-0.260240\pi\) |
−0.973751 | + | 0.227615i | \(0.926907\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.1618 | −0.903982 | −0.451991 | − | 0.892022i | \(-0.649286\pi\) | ||||
−0.451991 | + | 0.892022i | \(0.649286\pi\) | |||||||
\(182\) | 0.923682 | − | 0.571323i | 0.0684679 | − | 0.0423493i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.38035 | + | 2.39084i | 0.101761 | + | 0.176255i | ||||
\(185\) | 1.02379 | 0.0752703 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −10.4354 | −0.763110 | ||||||||
\(188\) | 4.01754 | 0.293009 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.07760 | 0.150725 | ||||||||
\(191\) | 4.96765 | 0.359447 | 0.179723 | − | 0.983717i | \(-0.442480\pi\) | ||||
0.179723 | + | 0.983717i | \(0.442480\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.9044 | −1.07284 | −0.536422 | − | 0.843950i | \(-0.680224\pi\) | ||||
−0.536422 | + | 0.843950i | \(0.680224\pi\) | |||||||
\(194\) | 8.18406 | + | 14.1752i | 0.587581 | + | 1.01772i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 8.56183 | + | 12.9474i | 0.611559 | + | 0.924811i | ||||
\(197\) | 21.2608 | 1.51477 | 0.757386 | − | 0.652968i | \(-0.226476\pi\) | ||||
0.757386 | + | 0.652968i | \(0.226476\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.97208 | − | 17.2722i | −0.706902 | − | 1.22439i | −0.966001 | − | 0.258540i | \(-0.916759\pi\) |
0.259098 | − | 0.965851i | \(-0.416575\pi\) | |||||||
\(200\) | −1.11168 | + | 1.92549i | −0.0786077 | + | 0.136152i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −15.2411 | + | 26.3984i | −1.07236 | + | 1.85739i | ||||
\(203\) | −0.395997 | − | 13.0512i | −0.0277935 | − | 0.916012i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.338983 | 0.0236756 | ||||||||
\(206\) | −0.209419 | − | 0.362724i | −0.0145909 | − | 0.0252722i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.351587 | + | 0.608967i | −0.0243782 | + | 0.0422243i | ||||
\(209\) | −5.75556 | − | 9.96893i | −0.398121 | − | 0.689565i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.7569 | − | 20.3636i | 0.809381 | − | 1.40189i | −0.103912 | − | 0.994587i | \(-0.533136\pi\) |
0.913293 | − | 0.407303i | \(-0.133531\pi\) | |||||||
\(212\) | 5.92742 | + | 10.2666i | 0.407097 | + | 0.705112i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 7.15581 | − | 12.3942i | 0.489161 | − | 0.847252i | ||||
\(215\) | −0.137616 | + | 0.238358i | −0.00938535 | + | 0.0162559i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.86735 | + | 3.15424i | 0.398302 | + | 0.214123i | ||||
\(218\) | −6.83983 | − | 11.8469i | −0.463252 | − | 0.802376i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.539638 | −0.0363824 | ||||||||
\(221\) | −1.25354 | −0.0843220 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.03052 | + | 3.51696i | 0.135974 | + | 0.235513i | 0.925969 | − | 0.377600i | \(-0.123250\pi\) |
−0.789995 | + | 0.613113i | \(0.789917\pi\) | |||||||
\(224\) | −18.9166 | − | 10.1694i | −1.26392 | − | 0.679470i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.0396834 | + | 0.0687336i | −0.00263970 | + | 0.00457209i | ||||
\(227\) | −1.92643 | + | 3.33667i | −0.127861 | + | 0.221462i | −0.922848 | − | 0.385165i | \(-0.874145\pi\) |
0.794986 | + | 0.606627i | \(0.207478\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.55812 | − | 11.3590i | −0.433373 | − | 0.750624i | 0.563788 | − | 0.825919i | \(-0.309343\pi\) |
−0.997161 | + | 0.0752952i | \(0.976010\pi\) | |||||||
\(230\) | 0.928316 | − | 1.60789i | 0.0612113 | − | 0.106021i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.10197 | − | 1.90868i | −0.0723481 | − | 0.125311i | ||||
\(233\) | 8.75115 | − | 15.1574i | 0.573307 | − | 0.992997i | −0.422916 | − | 0.906169i | \(-0.638993\pi\) |
0.996223 | − | 0.0868284i | \(-0.0276732\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.132482 | − | 0.229466i | −0.00864218 | − | 0.0149687i | ||||
\(236\) | 10.1360 | 0.659795 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.03338 | − | 34.0580i | −0.0669843 | − | 2.20765i | ||||
\(239\) | −3.65857 | + | 6.33683i | −0.236653 | + | 0.409895i | −0.959752 | − | 0.280849i | \(-0.909384\pi\) |
0.723099 | + | 0.690745i | \(0.242717\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.11553 | + | 5.39626i | −0.200689 | + | 0.347604i | −0.948751 | − | 0.316026i | \(-0.897651\pi\) |
0.748062 | + | 0.663629i | \(0.230985\pi\) | |||||||
\(242\) | −8.45174 | − | 14.6389i | −0.543299 | − | 0.941021i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.50405 | −0.0962868 | ||||||||
\(245\) | 0.457167 | − | 0.915969i | 0.0292074 | − | 0.0585191i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.691380 | − | 1.19751i | −0.0439915 | − | 0.0761954i | ||||
\(248\) | 1.12440 | 0.0713997 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.99694 | 0.189543 | ||||||||
\(251\) | −5.65283 | −0.356803 | −0.178402 | − | 0.983958i | \(-0.557093\pi\) | ||||
−0.178402 | + | 0.983958i | \(0.557093\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −10.2868 | −0.646727 | ||||||||
\(254\) | −27.6808 | −1.73684 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 11.9760 | 0.748501 | ||||||||
\(257\) | 5.90082 | + | 10.2205i | 0.368083 | + | 0.637539i | 0.989266 | − | 0.146127i | \(-0.0466808\pi\) |
−0.621183 | + | 0.783666i | \(0.713347\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 15.7518 | − | 9.74293i | 0.978770 | − | 0.605396i | ||||
\(260\) | −0.0648233 | −0.00402017 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 20.3653 | + | 35.2737i | 1.25817 | + | 2.17922i | ||||
\(263\) | −11.1200 | + | 19.2605i | −0.685691 | + | 1.18765i | 0.287528 | + | 0.957772i | \(0.407166\pi\) |
−0.973219 | + | 0.229879i | \(0.926167\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.390925 | − | 0.677101i | 0.0240143 | − | 0.0415940i | ||||
\(266\) | 31.9657 | − | 19.7716i | 1.95994 | − | 1.21228i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −13.7191 | −0.838024 | ||||||||
\(269\) | 1.19442 | + | 2.06880i | 0.0728251 | + | 0.126137i | 0.900138 | − | 0.435604i | \(-0.143465\pi\) |
−0.827313 | + | 0.561741i | \(0.810132\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −11.6129 | + | 20.1142i | −0.705435 | + | 1.22185i | 0.261100 | + | 0.965312i | \(0.415915\pi\) |
−0.966534 | + | 0.256537i | \(0.917419\pi\) | |||||||
\(272\) | 11.0302 | + | 19.1049i | 0.668806 | + | 1.15841i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.61797 | − | 11.4627i | 0.399806 | − | 0.692484i | ||||
\(275\) | −4.14231 | − | 7.17469i | −0.249790 | − | 0.432650i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.30900 | − | 3.99931i | 0.138734 | − | 0.240295i | −0.788283 | − | 0.615312i | \(-0.789030\pi\) |
0.927018 | + | 0.375017i | \(0.122363\pi\) | |||||||
\(278\) | −12.8666 | + | 22.2857i | −0.771690 | + | 1.33661i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.00524055 | − | 0.172716i | −0.000313183 | − | 0.0103218i | ||||
\(281\) | −5.90841 | − | 10.2337i | −0.352466 | − | 0.610489i | 0.634215 | − | 0.773157i | \(-0.281324\pi\) |
−0.986681 | + | 0.162668i | \(0.947990\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 15.8497 | 0.942165 | 0.471082 | − | 0.882089i | \(-0.343863\pi\) | ||||
0.471082 | + | 0.882089i | \(0.343863\pi\) | |||||||
\(284\) | −2.83279 | −0.168095 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.341548 | + | 0.591579i | 0.0201962 | + | 0.0349808i | ||||
\(287\) | 5.21555 | − | 3.22596i | 0.307864 | − | 0.190422i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.1634 | + | 19.3355i | −0.656669 | + | 1.13738i | ||||
\(290\) | −0.741102 | + | 1.28363i | −0.0435190 | + | 0.0753772i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.72652 | − | 2.99042i | −0.101037 | − | 0.175001i | ||||
\(293\) | −7.04804 | + | 12.2076i | −0.411751 | + | 0.713173i | −0.995081 | − | 0.0990615i | \(-0.968416\pi\) |
0.583330 | + | 0.812235i | \(0.301749\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.334243 | − | 0.578927i | −0.0194604 | − | 0.0337064i | ||||
\(296\) | 1.56314 | − | 2.70744i | 0.0908557 | − | 0.157367i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −18.2438 | − | 31.5993i | −1.05684 | − | 1.83050i | ||||
\(299\) | −1.23569 | −0.0714619 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.151011 | + | 4.97698i | 0.00870413 | + | 0.286868i | ||||
\(302\) | 8.69307 | − | 15.0568i | 0.500230 | − | 0.866424i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −12.1673 | + | 21.0744i | −0.697843 | + | 1.20870i | ||||
\(305\) | 0.0495974 | + | 0.0859053i | 0.00283994 | + | 0.00491892i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 27.3916 | 1.56332 | 0.781660 | − | 0.623704i | \(-0.214373\pi\) | ||||
0.781660 | + | 0.623704i | \(0.214373\pi\) | |||||||
\(308\) | −8.30279 | + | 5.13550i | −0.473095 | + | 0.292622i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.378093 | − | 0.654877i | −0.0214742 | − | 0.0371945i | ||||
\(311\) | 14.0557 | 0.797026 | 0.398513 | − | 0.917163i | \(-0.369526\pi\) | ||||
0.398513 | + | 0.917163i | \(0.369526\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 21.7446 | 1.22908 | 0.614540 | − | 0.788886i | \(-0.289342\pi\) | ||||
0.614540 | + | 0.788886i | \(0.289342\pi\) | |||||||
\(314\) | −11.7045 | −0.660520 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 28.3740 | 1.59616 | ||||||||
\(317\) | −8.56297 | −0.480944 | −0.240472 | − | 0.970656i | \(-0.577302\pi\) | ||||
−0.240472 | + | 0.970656i | \(0.577302\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.21228 | 0.459799 | ||||||||
\(320\) | 0.704524 | + | 1.22027i | 0.0393841 | + | 0.0682153i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.01867 | − | 33.5731i | −0.0567684 | − | 1.87096i | ||||
\(323\) | −43.3808 | −2.41377 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.497589 | − | 0.861850i | −0.0276013 | − | 0.0478068i | ||||
\(326\) | 2.18235 | − | 3.77995i | 0.120869 | − | 0.209352i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.517568 | − | 0.896453i | 0.0285779 | − | 0.0494984i | ||||
\(329\) | −4.22208 | − | 2.26975i | −0.232771 | − | 0.125135i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.8472 | 0.596216 | 0.298108 | − | 0.954532i | \(-0.403644\pi\) | ||||
0.298108 | + | 0.954532i | \(0.403644\pi\) | |||||||
\(332\) | −8.33070 | − | 14.4292i | −0.457207 | − | 0.791905i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −11.8849 | + | 20.5853i | −0.650314 | + | 1.12638i | ||||
\(335\) | 0.452399 | + | 0.783578i | 0.0247172 | + | 0.0428114i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.67411 | − | 2.89964i | 0.0911945 | − | 0.157954i | −0.816819 | − | 0.576893i | \(-0.804265\pi\) |
0.908014 | + | 0.418940i | \(0.137598\pi\) | |||||||
\(338\) | −13.3077 | − | 23.0496i | −0.723842 | − | 1.25373i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.01684 | + | 1.76122i | −0.0551459 | + | 0.0955154i | ||||
\(341\) | −2.09486 | + | 3.62840i | −0.113443 | + | 0.196489i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.68298 | − | 18.4436i | −0.0908723 | − | 0.995863i | ||||
\(344\) | 0.420231 | + | 0.727861i | 0.0226573 | + | 0.0392437i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −32.6754 | −1.75664 | ||||||||
\(347\) | 11.5330 | 0.619126 | 0.309563 | − | 0.950879i | \(-0.399817\pi\) | ||||
0.309563 | + | 0.950879i | \(0.399817\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.44917 | − | 7.70619i | −0.238159 | − | 0.412503i | 0.722027 | − | 0.691865i | \(-0.243211\pi\) |
−0.960186 | + | 0.279362i | \(0.909877\pi\) | |||||||
\(350\) | 23.0058 | − | 14.2297i | 1.22971 | − | 0.760612i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 6.75390 | − | 11.6981i | 0.359984 | − | 0.623511i | ||||
\(353\) | −1.32349 | + | 2.29236i | −0.0704424 | + | 0.122010i | −0.899095 | − | 0.437753i | \(-0.855774\pi\) |
0.828653 | + | 0.559763i | \(0.189108\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.0934139 | + | 0.161798i | 0.00495790 | + | 0.00858733i | ||||
\(356\) | −10.0538 | + | 17.4137i | −0.532852 | + | 0.922926i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 7.96127 | + | 13.7893i | 0.420766 | + | 0.728789i | ||||
\(359\) | 12.9835 | − | 22.4882i | 0.685245 | − | 1.18688i | −0.288114 | − | 0.957596i | \(-0.593028\pi\) |
0.973360 | − | 0.229284i | \(-0.0736384\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −14.4264 | − | 24.9873i | −0.759286 | − | 1.31512i | ||||
\(362\) | 24.9761 | 1.31271 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.997362 | + | 0.616896i | −0.0522760 | + | 0.0323341i | ||||
\(365\) | −0.113867 | + | 0.197224i | −0.00596009 | + | 0.0103232i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.79371 | + | 15.2312i | −0.459028 | + | 0.795060i | −0.998910 | − | 0.0466808i | \(-0.985136\pi\) |
0.539882 | + | 0.841741i | \(0.318469\pi\) | |||||||
\(368\) | 10.8732 | + | 18.8330i | 0.566806 | + | 0.981736i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2.10249 | −0.109303 | ||||||||
\(371\) | −0.428975 | − | 14.1380i | −0.0222713 | − | 0.734011i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.407538 | − | 0.705876i | −0.0211015 | − | 0.0365489i | 0.855282 | − | 0.518163i | \(-0.173384\pi\) |
−0.876383 | + | 0.481614i | \(0.840051\pi\) | |||||||
\(374\) | 21.4306 | 1.10815 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.809107 | −0.0417265 | ||||||||
\(377\) | 0.986490 | 0.0508068 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.4312 | −1.04948 | −0.524741 | − | 0.851262i | \(-0.675838\pi\) | ||||
−0.524741 | + | 0.851262i | \(0.675838\pi\) | |||||||
\(380\) | −2.24333 | −0.115080 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.2018 | −0.521969 | ||||||||
\(383\) | 8.94638 | + | 15.4956i | 0.457139 | + | 0.791788i | 0.998808 | − | 0.0488039i | \(-0.0155409\pi\) |
−0.541670 | + | 0.840591i | \(0.682208\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.567112 | + | 0.304874i | 0.0289027 | + | 0.0155378i | ||||
\(386\) | 30.6084 | 1.55793 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −8.83688 | − | 15.3059i | −0.448625 | − | 0.777041i | ||||
\(389\) | 7.81392 | − | 13.5341i | 0.396181 | − | 0.686206i | −0.597070 | − | 0.802189i | \(-0.703669\pi\) |
0.993251 | + | 0.115983i | \(0.0370018\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −19.3835 | + | 33.5731i | −0.980264 | + | 1.69787i | ||||
\(392\) | −1.72430 | − | 2.60752i | −0.0870902 | − | 0.131700i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −43.6622 | −2.19967 | ||||||||
\(395\) | −0.935661 | − | 1.62061i | −0.0470782 | − | 0.0815419i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 9.63064 | − | 16.6808i | 0.483348 | − | 0.837183i | −0.516469 | − | 0.856306i | \(-0.672754\pi\) |
0.999817 | + | 0.0191225i | \(0.00608724\pi\) | |||||||
\(398\) | 20.4791 | + | 35.4709i | 1.02653 | + | 1.77799i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −8.75687 | + | 15.1673i | −0.437843 | + | 0.758367i | ||||
\(401\) | 7.15064 | + | 12.3853i | 0.357086 | + | 0.618491i | 0.987473 | − | 0.157790i | \(-0.0504370\pi\) |
−0.630387 | + | 0.776281i | \(0.717104\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.251642 | + | 0.435857i | −0.0125352 | + | 0.0217116i | ||||
\(404\) | 16.4569 | − | 28.5041i | 0.818760 | − | 1.41813i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.813237 | + | 26.8024i | 0.0403603 | + | 1.33018i | ||||
\(407\) | 5.82452 | + | 10.0884i | 0.288711 | + | 0.500062i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 31.8610 | 1.57542 | 0.787712 | − | 0.616044i | \(-0.211266\pi\) | ||||
0.787712 | + | 0.616044i | \(0.211266\pi\) | |||||||
\(410\) | −0.696152 | −0.0343805 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.226124 | + | 0.391657i | 0.0111403 | + | 0.0192956i | ||||
\(413\) | −10.6520 | − | 5.72643i | −0.524151 | − | 0.281779i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.549426 | + | 0.951633i | −0.0269702 | + | 0.0467138i | ||||
\(416\) | 0.811304 | − | 1.40522i | 0.0397774 | − | 0.0688965i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 11.8199 | + | 20.4726i | 0.578130 | + | 1.00135i | ||||
\(419\) | −11.9480 | + | 20.6945i | −0.583697 | + | 1.01099i | 0.411339 | + | 0.911482i | \(0.365061\pi\) |
−0.995036 | + | 0.0995110i | \(0.968272\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.22251 | − | 2.11744i | −0.0595813 | − | 0.103198i | 0.834696 | − | 0.550711i | \(-0.185643\pi\) |
−0.894278 | + | 0.447513i | \(0.852310\pi\) | |||||||
\(422\) | −24.1446 | + | 41.8197i | −1.17534 | + | 2.03575i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.19375 | − | 2.06763i | −0.0579734 | − | 0.100413i | ||||
\(425\) | −31.2214 | −1.51446 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.58062 | + | 0.849728i | 0.0764917 | + | 0.0411212i | ||||
\(428\) | −7.72661 | + | 13.3829i | −0.373480 | + | 0.646886i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.282615 | − | 0.489503i | 0.0136289 | − | 0.0236059i | ||||
\(431\) | −2.46382 | − | 4.26746i | −0.118678 | − | 0.205556i | 0.800566 | − | 0.599244i | \(-0.204532\pi\) |
−0.919244 | + | 0.393688i | \(0.871199\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 30.8539 | 1.48274 | 0.741371 | − | 0.671095i | \(-0.234176\pi\) | ||||
0.741371 | + | 0.671095i | \(0.234176\pi\) | |||||||
\(434\) | −12.0495 | − | 6.47768i | −0.578393 | − | 0.310939i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 7.38543 | + | 12.7919i | 0.353698 | + | 0.612622i | ||||
\(437\) | −42.7633 | −2.04565 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.44822 | 0.116847 | 0.0584235 | − | 0.998292i | \(-0.481393\pi\) | ||||
0.0584235 | + | 0.998292i | \(0.481393\pi\) | |||||||
\(440\) | 0.108680 | 0.00518110 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.57432 | 0.122448 | ||||||||
\(443\) | 26.2950 | 1.24931 | 0.624657 | − | 0.780899i | \(-0.285239\pi\) | ||||
0.624657 | + | 0.780899i | \(0.285239\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.32614 | 0.0628650 | ||||||||
\(446\) | −4.16996 | − | 7.22259i | −0.197453 | − | 0.341999i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 22.4525 | + | 12.0703i | 1.06078 | + | 0.570266i | ||||
\(449\) | 38.7077 | 1.82673 | 0.913365 | − | 0.407141i | \(-0.133474\pi\) | ||||
0.913365 | + | 0.407141i | \(0.133474\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.92854 | + | 3.34034i | 0.0908116 | + | 0.157290i | ||||
\(452\) | 0.0428488 | − | 0.0742163i | 0.00201544 | − | 0.00349084i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.95620 | − | 6.85233i | 0.185673 | − | 0.321596i | ||||
\(455\) | 0.0681236 | + | 0.0366226i | 0.00319368 | + | 0.00171690i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −9.15511 | −0.428258 | −0.214129 | − | 0.976805i | \(-0.568691\pi\) | ||||
−0.214129 | + | 0.976805i | \(0.568691\pi\) | |||||||
\(458\) | 13.4681 | + | 23.3274i | 0.629321 | + | 1.09002i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.00237 | + | 1.73615i | −0.0467355 | + | 0.0809483i | ||||
\(461\) | −14.6152 | − | 25.3143i | −0.680698 | − | 1.17900i | −0.974768 | − | 0.223220i | \(-0.928343\pi\) |
0.294070 | − | 0.955784i | \(-0.404990\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.21031 | + | 14.2207i | −0.381565 | + | 0.660891i | −0.991286 | − | 0.131726i | \(-0.957948\pi\) |
0.609721 | + | 0.792616i | \(0.291282\pi\) | |||||||
\(464\) | −8.68041 | − | 15.0349i | −0.402978 | − | 0.697978i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −17.9718 | + | 31.1280i | −0.832526 | + | 1.44198i | ||||
\(467\) | −7.68632 | + | 13.3131i | −0.355680 | + | 0.616057i | −0.987234 | − | 0.159276i | \(-0.949084\pi\) |
0.631554 | + | 0.775332i | \(0.282418\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 14.4175 | + | 7.75073i | 0.665739 | + | 0.357895i | ||||
\(470\) | 0.272071 | + | 0.471241i | 0.0125497 | + | 0.0217367i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.04132 | −0.0939594 | ||||||||
\(473\) | −3.13170 | −0.143996 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −17.2200 | − | 29.8259i | −0.790106 | − | 1.36850i | ||||
\(476\) | 1.11581 | + | 36.7747i | 0.0511432 | + | 1.68556i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.51341 | − | 13.0136i | 0.343655 | − | 0.595228i | ||||
\(479\) | −18.9646 | + | 32.8476i | −0.866513 | + | 1.50084i | −0.000975329 | 1.00000i | \(0.500310\pi\) | |
−0.865537 | + | 0.500844i | \(0.833023\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.699663 | + | 1.21185i | 0.0319019 | + | 0.0552557i | ||||
\(482\) | 6.39820 | − | 11.0820i | 0.291430 | − | 0.504772i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 9.12591 | + | 15.8065i | 0.414814 | + | 0.718479i | ||||
\(485\) | −0.582809 | + | 1.00946i | −0.0264640 | + | 0.0458370i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 2.30247 | + | 3.98800i | 0.104335 | + | 0.180714i | 0.913466 | − | 0.406914i | \(-0.133395\pi\) |
−0.809131 | + | 0.587628i | \(0.800062\pi\) | |||||||
\(488\) | 0.302906 | 0.0137119 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.938860 | + | 1.88108i | −0.0424134 | + | 0.0849784i | ||||
\(491\) | 15.1876 | − | 26.3056i | 0.685405 | − | 1.18716i | −0.287904 | − | 0.957659i | \(-0.592958\pi\) |
0.973309 | − | 0.229497i | \(-0.0737082\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 15.4744 | − | 26.8024i | 0.696932 | − | 1.20712i | ||||
\(494\) | 1.41985 | + | 2.45925i | 0.0638820 | + | 0.110647i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8.85709 | 0.397695 | ||||||||
\(497\) | 2.97701 | + | 1.60041i | 0.133537 | + | 0.0717884i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.63436 | − | 8.02694i | −0.207462 | − | 0.359335i | 0.743452 | − | 0.668789i | \(-0.233187\pi\) |
−0.950914 | + | 0.309454i | \(0.899854\pi\) | |||||||
\(500\) | −3.23600 | −0.144718 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.6089 | 0.518131 | ||||||||
\(503\) | 22.4230 | 0.999791 | 0.499896 | − | 0.866086i | \(-0.333372\pi\) | ||||
0.499896 | + | 0.866086i | \(0.333372\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.17072 | −0.0965960 | ||||||||
\(506\) | 21.1255 | 0.939143 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 29.8888 | 1.32610 | ||||||||
\(509\) | −18.8207 | − | 32.5984i | −0.834213 | − | 1.44490i | −0.894670 | − | 0.446728i | \(-0.852589\pi\) |
0.0604572 | − | 0.998171i | \(-0.480744\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.124951 | + | 4.11808i | 0.00552748 | + | 0.182173i | ||||
\(512\) | −31.6976 | −1.40085 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.1182 | − | 20.9893i | −0.534511 | − | 0.925800i | ||||
\(515\) | 0.0149133 | − | 0.0258306i | 0.000657158 | − | 0.00113823i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.50743 | − | 2.61095i | 0.0662969 | − | 0.114830i | ||||
\(518\) | −32.3486 | + | 20.0085i | −1.42132 | + | 0.879124i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.0130550 | 0.000572500 | ||||||||
\(521\) | −17.4641 | − | 30.2488i | −0.765117 | − | 1.32522i | −0.940185 | − | 0.340666i | \(-0.889348\pi\) |
0.175067 | − | 0.984556i | \(-0.443986\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.8735 | + | 20.5656i | −0.519194 | + | 0.899270i | 0.480557 | + | 0.876963i | \(0.340434\pi\) |
−0.999751 | + | 0.0223069i | \(0.992899\pi\) | |||||||
\(524\) | −21.9898 | − | 38.0874i | −0.960628 | − | 1.66386i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 22.8366 | − | 39.5542i | 0.995723 | − | 1.72464i | ||||
\(527\) | 7.89468 | + | 13.6740i | 0.343898 | + | 0.595648i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.60755 | + | 13.1767i | −0.330763 | + | 0.572898i | ||||
\(530\) | −0.802820 | + | 1.39053i | −0.0348723 | + | 0.0604006i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −34.5155 | + | 21.3488i | −1.49644 | + | 0.925587i | ||||
\(533\) | 0.231664 | + | 0.401254i | 0.0100345 | + | 0.0173802i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.01917 | 0.0440626 | ||||||||
\(536\) | 2.76293 | 0.119340 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.45292 | − | 4.24857i | −0.105753 | − | 0.183169i | ||||
\(539\) | 11.6269 | − | 0.706212i | 0.500804 | − | 0.0304187i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.58542 | − | 14.8704i | 0.369116 | − | 0.639328i | −0.620311 | − | 0.784356i | \(-0.712994\pi\) |
0.989428 | + | 0.145028i | \(0.0463271\pi\) | |||||||
\(542\) | 23.8488 | − | 41.3074i | 1.02439 | − | 1.77430i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −25.4527 | − | 44.0854i | −1.09128 | − | 1.89015i | ||||
\(545\) | 0.487083 | − | 0.843653i | 0.0208643 | − | 0.0361381i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.0046 | − | 17.3284i | −0.427765 | − | 0.740910i | 0.568910 | − | 0.822400i | \(-0.307365\pi\) |
−0.996674 | + | 0.0814901i | \(0.974032\pi\) | |||||||
\(548\) | −7.14586 | + | 12.3770i | −0.305256 | + | 0.528719i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 8.50683 | + | 14.7343i | 0.362732 | + | 0.628271i | ||||
\(551\) | 34.1392 | 1.45438 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −29.8186 | − | 16.0302i | −1.26802 | − | 0.681674i | ||||
\(554\) | −4.74187 | + | 8.21316i | −0.201463 | + | 0.348944i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 13.8930 | − | 24.0633i | 0.589193 | − | 1.02051i | ||||
\(557\) | 0.122740 | + | 0.212593i | 0.00520068 | + | 0.00900784i | 0.868614 | − | 0.495489i | \(-0.165011\pi\) |
−0.863413 | + | 0.504497i | \(0.831678\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.376192 | −0.0159112 | ||||||||
\(560\) | −0.0412806 | − | 1.36051i | −0.00174442 | − | 0.0574922i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 12.1338 | + | 21.0163i | 0.511833 | + | 0.886520i | ||||
\(563\) | 44.2509 | 1.86495 | 0.932477 | − | 0.361230i | \(-0.117643\pi\) | ||||
0.932477 | + | 0.361230i | \(0.117643\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.00565192 | −0.000237778 | ||||||||
\(566\) | −32.5496 | −1.36816 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.570506 | 0.0239379 | ||||||||
\(569\) | 5.53533 | 0.232053 | 0.116027 | − | 0.993246i | \(-0.462984\pi\) | ||||
0.116027 | + | 0.993246i | \(0.462984\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.10381 | −0.171739 | −0.0858696 | − | 0.996306i | \(-0.527367\pi\) | ||||
−0.0858696 | + | 0.996306i | \(0.527367\pi\) | |||||||
\(572\) | −0.368793 | − | 0.638768i | −0.0154200 | − | 0.0267082i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −10.7109 | + | 6.62498i | −0.447064 | + | 0.276521i | ||||
\(575\) | −30.7770 | −1.28349 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.82275 | − | 4.88915i | −0.117513 | − | 0.203538i | 0.801269 | − | 0.598305i | \(-0.204159\pi\) |
−0.918781 | + | 0.394767i | \(0.870825\pi\) | |||||||
\(578\) | 22.9256 | − | 39.7083i | 0.953579 | − | 1.65165i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.800218 | − | 1.38602i | 0.0332272 | − | 0.0575513i | ||||
\(581\) | 0.602904 | + | 19.8703i | 0.0250127 | + | 0.824360i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.89619 | 0.368442 | ||||||||
\(584\) | 0.347710 | + | 0.602252i | 0.0143884 | + | 0.0249214i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 14.4742 | − | 25.0700i | 0.597923 | − | 1.03563i | ||||
\(587\) | −9.36644 | − | 16.2232i | −0.386595 | − | 0.669601i | 0.605394 | − | 0.795926i | \(-0.293015\pi\) |
−0.991989 | + | 0.126324i | \(0.959682\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.70852 | + | 15.0836i | −0.358828 | + | 0.621509i | ||||
\(590\) | 0.686417 | + | 1.18891i | 0.0282594 | + | 0.0489466i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 12.3131 | − | 21.3269i | 0.506065 | − | 0.876530i | ||||
\(593\) | 9.43516 | − | 16.3422i | 0.387456 | − | 0.671093i | −0.604651 | − | 0.796491i | \(-0.706687\pi\) |
0.992107 | + | 0.125398i | \(0.0400207\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.06363 | − | 1.27641i | 0.0846005 | − | 0.0523277i | ||||
\(596\) | 19.6991 | + | 34.1198i | 0.806906 | + | 1.39760i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 2.53767 | 0.103773 | ||||||||
\(599\) | −2.67451 | −0.109278 | −0.0546388 | − | 0.998506i | \(-0.517401\pi\) | ||||
−0.0546388 | + | 0.998506i | \(0.517401\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.60716 | − | 11.4439i | −0.269511 | − | 0.466808i | 0.699224 | − | 0.714902i | \(-0.253529\pi\) |
−0.968736 | + | 0.248095i | \(0.920196\pi\) | |||||||
\(602\) | −0.310123 | − | 10.2209i | −0.0126397 | − | 0.416575i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −9.38650 | + | 16.2579i | −0.381931 | + | 0.661524i | ||||
\(605\) | 0.601872 | − | 1.04247i | 0.0244696 | − | 0.0423825i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.9026 | − | 22.3480i | −0.523701 | − | 0.907076i | −0.999619 | − | 0.0275869i | \(-0.991218\pi\) |
0.475919 | − | 0.879489i | \(-0.342116\pi\) | |||||||
\(608\) | 28.0766 | − | 48.6301i | 1.13866 | − | 1.97221i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.101856 | − | 0.176419i | −0.00412401 | − | 0.00714299i | ||||
\(611\) | 0.181079 | − | 0.313637i | 0.00732565 | − | 0.0126884i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 13.4766 | + | 23.3422i | 0.544316 | + | 0.942784i | 0.998650 | + | 0.0519519i | \(0.0165443\pi\) |
−0.454333 | + | 0.890832i | \(0.650122\pi\) | |||||||
\(614\) | −56.2526 | −2.27017 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.67213 | − | 1.03426i | 0.0673720 | − | 0.0416715i | ||||
\(617\) | 4.76588 | − | 8.25474i | 0.191867 | − | 0.332323i | −0.754002 | − | 0.656872i | \(-0.771879\pi\) |
0.945869 | + | 0.324549i | \(0.105212\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −17.3536 | + | 30.0573i | −0.697499 | + | 1.20810i | 0.271832 | + | 0.962345i | \(0.412370\pi\) |
−0.969331 | + | 0.245759i | \(0.920963\pi\) | |||||||
\(620\) | 0.408253 | + | 0.707114i | 0.0163958 | + | 0.0283984i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −28.8654 | −1.15740 | ||||||||
\(623\) | 20.4038 | − | 12.6203i | 0.817459 | − | 0.505621i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −12.3398 | − | 21.3732i | −0.493593 | − | 0.854928i | ||||
\(626\) | −44.6558 | −1.78480 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.6381 | 0.504314 | ||||||||
\(629\) | 43.9006 | 1.75043 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −36.7963 | −1.46484 | −0.732419 | − | 0.680854i | \(-0.761609\pi\) | ||||
−0.732419 | + | 0.680854i | \(0.761609\pi\) | |||||||
\(632\) | −5.71435 | −0.227305 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 17.5853 | 0.698401 | ||||||||
\(635\) | −0.985611 | − | 1.70713i | −0.0391128 | − | 0.0677453i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.39666 | − | 0.0848329i | 0.0553378 | − | 0.00336120i | ||||
\(638\) | −16.8651 | −0.667696 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.259699 | − | 0.449811i | −0.0102655 | − | 0.0177804i | ||||
\(641\) | −22.0922 | + | 38.2648i | −0.872590 | + | 1.51137i | −0.0132813 | + | 0.999912i | \(0.504228\pi\) |
−0.859308 | + | 0.511458i | \(0.829106\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7.24065 | − | 12.5412i | 0.285543 | − | 0.494575i | −0.687197 | − | 0.726471i | \(-0.741159\pi\) |
0.972741 | + | 0.231895i | \(0.0744926\pi\) | |||||||
\(644\) | 1.09993 | + | 36.2512i | 0.0433433 | + | 1.42850i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 89.0889 | 3.50515 | ||||||||
\(647\) | 16.6536 | + | 28.8448i | 0.654719 | + | 1.13401i | 0.981964 | + | 0.189068i | \(0.0605465\pi\) |
−0.327245 | + | 0.944940i | \(0.606120\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.80315 | − | 6.58725i | 0.149287 | − | 0.258572i | ||||
\(650\) | 1.02187 | + | 1.76993i | 0.0400811 | + | 0.0694225i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.35643 | + | 4.08146i | −0.0922850 | + | 0.159842i | ||||
\(653\) | −4.53322 | − | 7.85176i | −0.177398 | − | 0.307263i | 0.763590 | − | 0.645701i | \(-0.223435\pi\) |
−0.940989 | + | 0.338438i | \(0.890101\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.45027 | + | 2.51194i | −0.0566666 | + | 0.0981495i | ||||
\(656\) | 4.07696 | − | 7.06150i | 0.159178 | − | 0.275705i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 8.67065 | + | 4.66126i | 0.338017 | + | 0.181715i | ||||
\(659\) | −16.1806 | − | 28.0256i | −0.630305 | − | 1.09172i | −0.987489 | − | 0.157686i | \(-0.949596\pi\) |
0.357184 | − | 0.934034i | \(-0.383737\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.65915 | −0.336802 | −0.168401 | − | 0.985719i | \(-0.553860\pi\) | ||||
−0.168401 | + | 0.985719i | \(0.553860\pi\) | |||||||
\(662\) | −22.2763 | −0.865794 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.67775 | + | 2.90595i | 0.0651094 | + | 0.112773i | ||||
\(665\) | 2.35754 | + | 1.26739i | 0.0914214 | + | 0.0491473i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 15.2541 | − | 26.4209i | 0.590642 | − | 1.02302i | ||||
\(668\) | 12.8329 | − | 22.2273i | 0.496522 | − | 0.860001i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.929067 | − | 1.60919i | −0.0358930 | − | 0.0621685i | ||||
\(671\) | −0.564339 | + | 0.977464i | −0.0217861 | + | 0.0377346i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.24842 | + | 12.5546i | 0.279406 | + | 0.483946i | 0.971237 | − | 0.238114i | \(-0.0765291\pi\) |
−0.691831 | + | 0.722059i | \(0.743196\pi\) | |||||||
\(674\) | −3.43803 | + | 5.95484i | −0.132428 | + | 0.229372i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 14.3692 | + | 24.8881i | 0.552661 | + | 0.957236i | ||||
\(677\) | −38.3315 | −1.47320 | −0.736600 | − | 0.676329i | \(-0.763570\pi\) | ||||
−0.736600 | + | 0.676329i | \(0.763570\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.639537 | + | 21.0777i | 0.0245432 | + | 0.808887i | ||||
\(680\) | 0.204785 | − | 0.354698i | 0.00785315 | − | 0.0136021i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.30209 | − | 7.45144i | 0.164736 | − | 0.285330i | ||||
\(683\) | 3.31659 | + | 5.74450i | 0.126906 | + | 0.219807i | 0.922476 | − | 0.386054i | \(-0.126162\pi\) |
−0.795570 | + | 0.605861i | \(0.792829\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.942567 | 0.0360136 | ||||||||
\(686\) | 3.45624 | + | 37.8767i | 0.131960 | + | 1.44614i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.31022 | + | 5.73347i | 0.126201 | + | 0.218587i | ||||
\(689\) | 1.06864 | 0.0407121 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −23.3875 | −0.889704 | −0.444852 | − | 0.895604i | \(-0.646744\pi\) | ||||
−0.444852 | + | 0.895604i | \(0.646744\pi\) | |||||||
\(692\) | 35.2818 | 1.34121 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −23.6848 | −0.899061 | ||||||||
\(695\) | −1.83254 | −0.0695121 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 14.5358 | 0.550583 | ||||||||
\(698\) | 9.13702 | + | 15.8258i | 0.345841 | + | 0.599015i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −24.8410 | + | 15.3648i | −0.938900 | + | 0.580735i | ||||
\(701\) | −9.26736 | −0.350023 | −0.175012 | − | 0.984566i | \(-0.555996\pi\) | ||||
−0.175012 | + | 0.984566i | \(0.555996\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 24.2131 | + | 41.9383i | 0.913214 | + | 1.58173i | ||||
\(704\) | −8.01636 | + | 13.8847i | −0.302128 | + | 0.523301i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.71799 | − | 4.70769i | 0.102293 | − | 0.177176i | ||||
\(707\) | −33.3984 | + | 20.6579i | −1.25608 | + | 0.776918i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14.2355 | 0.534626 | 0.267313 | − | 0.963610i | \(-0.413864\pi\) | ||||
0.267313 | + | 0.963610i | \(0.413864\pi\) | |||||||
\(710\) | −0.191839 | − | 0.332275i | −0.00719959 | − | 0.0124701i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.02478 | − | 3.50702i | 0.0758817 | − | 0.131431i | ||||
\(713\) | 7.78230 | + | 13.4793i | 0.291449 | + | 0.504805i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.0243226 | + | 0.0421280i | −0.000909613 | + | 0.00157550i | ||||
\(716\) | −8.59632 | − | 14.8893i | −0.321260 | − | 0.556438i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −26.6636 | + | 46.1827i | −0.995077 | + | 1.72352i | ||||
\(719\) | −6.92848 | + | 12.0005i | −0.258389 | + | 0.447542i | −0.965810 | − | 0.259249i | \(-0.916525\pi\) |
0.707422 | + | 0.706792i | \(0.249858\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.0163649 | − | 0.539348i | −0.000609459 | − | 0.0200864i | ||||
\(722\) | 29.6268 | + | 51.3151i | 1.10259 | + | 1.90975i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −26.9684 | −1.00227 | ||||||||
\(725\) | 24.5702 | 0.912513 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 15.7000 | + | 27.1932i | 0.582280 | + | 1.00854i | 0.995208 | + | 0.0977755i | \(0.0311727\pi\) |
−0.412928 | + | 0.910764i | \(0.635494\pi\) | |||||||
\(728\) | 0.200862 | − | 0.124239i | 0.00744446 | − | 0.00460460i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.233843 | − | 0.405028i | 0.00865492 | − | 0.0149908i | ||||
\(731\) | −5.90107 | + | 10.2209i | −0.218259 | + | 0.378035i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 13.3003 | + | 23.0368i | 0.491257 | + | 0.850883i | 0.999949 | − | 0.0100658i | \(-0.00320409\pi\) |
−0.508692 | + | 0.860949i | \(0.669871\pi\) | |||||||
\(734\) | 18.0592 | − | 31.2794i | 0.666576 | − | 1.15454i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −25.0904 | − | 43.4579i | −0.924845 | − | 1.60188i | ||||
\(737\) | −5.14757 | + | 8.91586i | −0.189613 | + | 0.328420i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 16.5019 | + | 28.5822i | 0.607034 | + | 1.05141i | 0.991727 | + | 0.128368i | \(0.0409740\pi\) |
−0.384693 | + | 0.923045i | \(0.625693\pi\) | |||||||
\(740\) | 2.27020 | 0.0834543 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.880963 | + | 29.0345i | 0.0323412 | + | 1.06589i | ||||
\(743\) | −19.3008 | + | 33.4299i | −0.708076 | + | 1.22642i | 0.257493 | + | 0.966280i | \(0.417103\pi\) |
−0.965570 | + | 0.260144i | \(0.916230\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.29919 | − | 2.25027i | 0.0475988 | − | 0.0824435i | ||||
\(746\) | 0.836938 | + | 1.44962i | 0.0306425 | + | 0.0530743i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −23.1400 | −0.846082 | ||||||||
\(749\) | 15.6808 | − | 9.69900i | 0.572964 | − | 0.354394i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 18.9498 | + | 32.8220i | 0.691487 | + | 1.19769i | 0.971351 | + | 0.237651i | \(0.0763776\pi\) |
−0.279863 | + | 0.960040i | \(0.590289\pi\) | |||||||
\(752\) | −6.37345 | −0.232416 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.02590 | −0.0737789 | ||||||||
\(755\) | 1.23811 | 0.0450596 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.5927 | 0.821147 | 0.410573 | − | 0.911828i | \(-0.365329\pi\) | ||||
0.410573 | + | 0.911828i | \(0.365329\pi\) | |||||||
\(758\) | 41.9585 | 1.52400 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.451792 | 0.0163882 | ||||||||
\(761\) | 13.8735 | + | 24.0296i | 0.502913 | + | 0.871072i | 0.999994 | + | 0.00336738i | \(0.00107187\pi\) |
−0.497081 | + | 0.867704i | \(0.665595\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.534493 | − | 17.6157i | −0.0193500 | − | 0.637730i | ||||
\(764\) | 11.0156 | 0.398529 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −18.3727 | − | 31.8224i | −0.663832 | − | 1.14979i | ||||
\(767\) | 0.456849 | − | 0.791286i | 0.0164959 | − | 0.0285717i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −6.07668 | + | 10.5251i | −0.219131 | + | 0.379546i | −0.954542 | − | 0.298075i | \(-0.903655\pi\) |
0.735412 | + | 0.677621i | \(0.236989\pi\) | |||||||
\(770\) | −1.16465 | − | 0.626104i | −0.0419710 | − | 0.0225632i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −33.0499 | −1.18949 | ||||||||
\(773\) | 20.7795 | + | 35.9912i | 0.747388 | + | 1.29451i | 0.949071 | + | 0.315063i | \(0.102026\pi\) |
−0.201682 | + | 0.979451i | \(0.564641\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.26756 | + | 10.8557i | −0.225137 | + | 0.389950i | ||||
\(776\) | 1.77969 | + | 3.08252i | 0.0638873 | + | 0.110656i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −16.0470 | + | 27.7942i | −0.575313 | + | 0.996472i | ||||
\(779\) | 8.01714 | + | 13.8861i | 0.287244 | + | 0.497521i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.06290 | + | 1.84100i | −0.0380336 | + | 0.0658761i | ||||
\(782\) | 39.8068 | − | 68.9473i | 1.42349 | − | 2.46555i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −13.5826 | − | 20.5398i | −0.485091 | − | 0.733564i | ||||
\(785\) | −0.416753 | − | 0.721837i | −0.0148746 | − | 0.0257635i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −20.8969 | −0.744893 | −0.372446 | − | 0.928054i | \(-0.621481\pi\) | ||||
−0.372446 | + | 0.928054i | \(0.621481\pi\) | |||||||
\(788\) | 47.1450 | 1.67947 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.92152 | + | 3.32816i | 0.0683645 | + | 0.118411i | ||||
\(791\) | −0.0869596 | + | 0.0537869i | −0.00309193 | + | 0.00191244i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.0677905 | + | 0.117417i | −0.00240731 | + | 0.00416959i | ||||
\(794\) | −19.7779 | + | 34.2564i | −0.701892 | + | 1.21571i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −22.1127 | − | 38.3003i | −0.783763 | − | 1.35752i | ||||
\(797\) | 0.319383 | − | 0.553188i | 0.0113131 | − | 0.0195949i | −0.860313 | − | 0.509765i | \(-0.829732\pi\) |
0.871627 | + | 0.490171i | \(0.163066\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.68091 | − | 9.83963i | −0.200976 | − | 0.348101i | ||||
\(800\) | 20.2069 | − | 34.9993i | 0.714420 | − | 1.23741i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −14.6849 | − | 25.4350i | −0.518541 | − | 0.898139i | ||||
\(803\) | −2.59125 | −0.0914433 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.03425 | − | 1.25824i | 0.0716980 | − | 0.0443472i | ||||
\(806\) | 0.516783 | − | 0.895095i | 0.0182029 | − | 0.0315284i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −3.31431 | + | 5.74055i | −0.116597 | + | 0.201952i | ||||
\(809\) | −25.2796 | − | 43.7856i | −0.888783 | − | 1.53942i | −0.841315 | − | 0.540545i | \(-0.818218\pi\) |
−0.0474686 | − | 0.998873i | \(-0.515115\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −0.784071 | −0.0275325 | −0.0137662 | − | 0.999905i | \(-0.504382\pi\) | ||||
−0.0137662 | + | 0.999905i | \(0.504382\pi\) | |||||||
\(812\) | −0.878107 | − | 28.9404i | −0.0308155 | − | 1.01561i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −11.9615 | − | 20.7179i | −0.419250 | − | 0.726163i | ||||
\(815\) | 0.310823 | 0.0108876 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −13.0188 | −0.455470 | ||||||||
\(818\) | −65.4311 | −2.28775 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.751682 | 0.0262499 | ||||||||
\(821\) | −43.4413 | −1.51611 | −0.758056 | − | 0.652189i | \(-0.773851\pi\) | ||||
−0.758056 | + | 0.652189i | \(0.773851\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.96546 | 0.138227 | 0.0691136 | − | 0.997609i | \(-0.477983\pi\) | ||||
0.0691136 | + | 0.997609i | \(0.477983\pi\) | |||||||
\(824\) | −0.0455399 | − | 0.0788774i | −0.00158646 | − | 0.00274782i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 21.8755 | + | 11.7600i | 0.761144 | + | 0.409184i | ||||
\(827\) | −29.3159 | −1.01941 | −0.509707 | − | 0.860348i | \(-0.670246\pi\) | ||||
−0.509707 | + | 0.860348i | \(0.670246\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −17.5213 | − | 30.3478i | −0.608541 | − | 1.05402i | −0.991481 | − | 0.130251i | \(-0.958422\pi\) |
0.382940 | − | 0.923773i | \(-0.374912\pi\) | |||||||
\(830\) | 1.12833 | − | 1.95432i | 0.0391648 | − | 0.0678353i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.962955 | + | 1.66789i | −0.0333844 | + | 0.0578236i | ||||
\(833\) | 19.6036 | − | 39.2773i | 0.679225 | − | 1.36088i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.69272 | −0.0585788 | ||||||||
\(836\) | −12.7627 | − | 22.1057i | −0.441408 | − | 0.764541i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 24.5369 | − | 42.4992i | 0.847614 | − | 1.46811i | ||||
\(839\) | 18.7921 | + | 32.5489i | 0.648777 | + | 1.12371i | 0.983415 | + | 0.181368i | \(0.0580524\pi\) |
−0.334639 | + | 0.942347i | \(0.608614\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.32218 | − | 4.02213i | 0.0800750 | − | 0.138694i | ||||
\(842\) | 2.51060 | + | 4.34848i | 0.0865208 | + | 0.149858i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 26.0705 | − | 45.1555i | 0.897385 | − | 1.55432i | ||||
\(845\) | 0.947675 | − | 1.64142i | 0.0326010 | − | 0.0564666i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.660455 | − | 21.7671i | −0.0226935 | − | 0.747926i | ||||
\(848\) | −9.40331 | − | 16.2870i | −0.322911 | − | 0.559298i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 64.1177 | 2.19922 | ||||||||
\(851\) | 43.2757 | 1.48347 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 16.3849 | + | 28.3795i | 0.561009 | + | 0.971696i | 0.997409 | + | 0.0719434i | \(0.0229201\pi\) |
−0.436400 | + | 0.899753i | \(0.643747\pi\) | |||||||
\(854\) | −3.24604 | − | 1.74504i | −0.111077 | − | 0.0597140i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.55609 | − | 2.69523i | 0.0531861 | − | 0.0921211i | ||||
\(857\) | 13.7673 | − | 23.8457i | 0.470283 | − | 0.814554i | −0.529139 | − | 0.848535i | \(-0.677485\pi\) |
0.999422 | + | 0.0339808i | \(0.0108185\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 23.2550 | + | 40.2789i | 0.793451 | + | 1.37430i | 0.923818 | + | 0.382832i | \(0.125051\pi\) |
−0.130366 | + | 0.991466i | \(0.541615\pi\) | |||||||
\(860\) | −0.305158 | + | 0.528549i | −0.0104058 | + | 0.0180234i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 5.05981 | + | 8.76384i | 0.172338 | + | 0.298498i | ||||
\(863\) | −2.44007 | + | 4.22633i | −0.0830610 | + | 0.143866i | −0.904563 | − | 0.426339i | \(-0.859803\pi\) |
0.821502 | + | 0.570205i | \(0.193136\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.16345 | − | 2.01516i | −0.0395585 | − | 0.0685174i | ||||
\(866\) | −63.3629 | −2.15316 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 13.0106 | + | 6.99439i | 0.441609 | + | 0.237405i | ||||
\(869\) | 10.6463 | − | 18.4400i | 0.361152 | − | 0.625533i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.618346 | + | 1.07101i | −0.0209518 | + | 0.0362897i | ||||
\(872\) | −1.48738 | − | 2.57622i | −0.0503690 | − | 0.0872417i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 87.8207 | 2.97058 | ||||||||
\(875\) | 3.40075 | + | 1.82821i | 0.114966 | + | 0.0618049i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −19.6446 | − | 34.0255i | −0.663352 | − | 1.14896i | −0.979729 | − | 0.200326i | \(-0.935800\pi\) |
0.316378 | − | 0.948633i | \(-0.397533\pi\) | |||||||
\(878\) | −5.02777 | −0.169679 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.856086 | 0.0288587 | ||||||||
\(881\) | −47.3713 | −1.59598 | −0.797990 | − | 0.602670i | \(-0.794103\pi\) | ||||
−0.797990 | + | 0.602670i | \(0.794103\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.67206 | −0.0899221 | −0.0449610 | − | 0.998989i | \(-0.514316\pi\) | ||||
−0.0449610 | + | 0.998989i | \(0.514316\pi\) | |||||||
\(884\) | −2.77966 | −0.0934902 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −54.0007 | −1.81419 | ||||||||
\(887\) | −11.4800 | − | 19.8840i | −0.385461 | − | 0.667638i | 0.606372 | − | 0.795181i | \(-0.292624\pi\) |
−0.991833 | + | 0.127543i | \(0.959291\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −31.4105 | − | 16.8860i | −1.05347 | − | 0.566338i | ||||
\(890\) | −2.72342 | −0.0912891 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 4.50259 | + | 7.79871i | 0.150758 | + | 0.261120i | ||||
\(893\) | 6.26655 | − | 10.8540i | 0.209702 | − | 0.363214i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.566944 | + | 0.981976i | −0.0189508 | + | 0.0328238i | ||||
\(896\) | −8.27635 | − | 4.44929i | −0.276493 | − | 0.148640i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −79.4920 | −2.65268 | ||||||||
\(899\) | −6.21284 | − | 10.7610i | −0.207210 | − | 0.358898i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 16.7631 | − | 29.0345i | 0.558459 | − | 0.967280i | ||||
\(902\) | −3.96054 | − | 6.85986i | −0.131872 | − | 0.228408i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.00862948 | + | 0.0149467i | −0.000287012 | + | 0.000497120i | ||||
\(905\) | 0.889308 | + | 1.54033i | 0.0295616 | + | 0.0512022i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 13.9491 | − | 24.1606i | 0.463173 | − | 0.802238i | −0.535944 | − | 0.844253i | \(-0.680044\pi\) |
0.999117 | + | 0.0420148i | \(0.0133777\pi\) | |||||||
\(908\) | −4.27177 | + | 7.39892i | −0.141764 | + | 0.245542i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.139902 | − | 0.0752099i | −0.00463770 | − | 0.00249318i | ||||
\(911\) | 18.7381 | + | 32.4553i | 0.620820 | + | 1.07529i | 0.989333 | + | 0.145670i | \(0.0465337\pi\) |
−0.368513 | + | 0.929623i | \(0.620133\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −12.5032 | −0.413794 | ||||||||
\(914\) | 18.8014 | 0.621894 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −14.5424 | − | 25.1881i | −0.480493 | − | 0.832239i | ||||
\(917\) | 1.59143 | + | 52.4499i | 0.0525536 | + | 1.73205i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −15.1073 | + | 26.1667i | −0.498345 | + | 0.863160i | −0.999998 | − | 0.00190951i | \(-0.999392\pi\) |
0.501653 | + | 0.865069i | \(0.332726\pi\) | |||||||
\(920\) | 0.201870 | − | 0.349649i | 0.00665546 | − | 0.0115276i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 30.0145 | + | 51.9866i | 0.988474 | + | 1.71209i | ||||
\(923\) | −0.127680 | + | 0.221147i | −0.00420262 | + | 0.00727916i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 17.4263 | + | 30.1832i | 0.572972 | + | 0.992417i | ||||
\(926\) | 16.8611 | − | 29.2042i | 0.554089 | − | 0.959710i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 20.0304 | + | 34.6937i | 0.657531 | + | 1.13888i | ||||
\(929\) | 45.9351 | 1.50708 | 0.753540 | − | 0.657402i | \(-0.228344\pi\) | ||||
0.753540 | + | 0.657402i | \(0.228344\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 48.3340 | − | 2.93579i | 1.58408 | − | 0.0962167i | ||||
\(932\) | 19.4053 | − | 33.6110i | 0.635642 | − | 1.10096i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 15.7850 | − | 27.3404i | 0.516500 | − | 0.894604i | ||||
\(935\) | 0.763064 | + | 1.32167i | 0.0249549 | + | 0.0432231i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −45.3797 | −1.48249 | −0.741245 | − | 0.671235i | \(-0.765764\pi\) | ||||
−0.741245 | + | 0.671235i | \(0.765764\pi\) | |||||||
\(938\) | −29.6085 | − | 15.9172i | −0.966751 | − | 0.519716i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.293774 | − | 0.508831i | −0.00958184 | − | 0.0165962i | ||||
\(941\) | −49.4003 | −1.61040 | −0.805202 | − | 0.593000i | \(-0.797943\pi\) | ||||
−0.805202 | + | 0.593000i | \(0.797943\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 14.3289 | 0.466613 | ||||||||
\(944\) | −16.0798 | −0.523353 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.43141 | 0.209103 | ||||||||
\(947\) | −31.6505 | −1.02850 | −0.514252 | − | 0.857639i | \(-0.671930\pi\) | ||||
−0.514252 | + | 0.857639i | \(0.671930\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.311271 | −0.0101043 | ||||||||
\(950\) | 35.3637 | + | 61.2517i | 1.14735 | + | 1.98727i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.224718 | − | 7.40619i | −0.00728315 | − | 0.240036i | ||||
\(953\) | 19.1237 | 0.619477 | 0.309739 | − | 0.950822i | \(-0.399758\pi\) | ||||
0.309739 | + | 0.950822i | \(0.399758\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.363249 | − | 0.629165i | −0.0117545 | − | 0.0203593i | ||||
\(956\) | −8.11273 | + | 14.0517i | −0.262384 | + | 0.454463i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 38.9465 | − | 67.4573i | 1.25830 | − | 2.17945i | ||||
\(959\) | 14.5022 | − | 8.97001i | 0.468300 | − | 0.289657i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −24.6607 | −0.795507 | ||||||||
\(962\) | −1.43686 | − | 2.48871i | −0.0463262 | − | 0.0802394i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −6.90857 | + | 11.9660i | −0.222510 | + | 0.385399i | ||||
\(965\) | 1.08985 | + | 1.88768i | 0.0350836 | + | 0.0607666i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.98525 | − | 8.63470i | 0.160315 | − | 0.277673i | −0.774667 | − | 0.632370i | \(-0.782082\pi\) |
0.934982 | + | 0.354696i | \(0.115416\pi\) | |||||||
\(968\) | −1.83790 | − | 3.18334i | −0.0590724 | − | 0.102316i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.19688 | − | 2.07306i | 0.0384296 | − | 0.0665621i | ||||
\(971\) | −0.522554 | + | 0.905090i | −0.0167695 | + | 0.0290457i | −0.874288 | − | 0.485407i | \(-0.838671\pi\) |
0.857519 | + | 0.514453i | \(0.172005\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −28.1951 | + | 17.4395i | −0.903895 | + | 0.559084i | ||||
\(974\) | −4.72847 | − | 8.18994i | −0.151510 | − | 0.262423i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.38603 | 0.0763751 | ||||||||
\(977\) | 18.8862 | 0.604222 | 0.302111 | − | 0.953273i | \(-0.402309\pi\) | ||||
0.302111 | + | 0.953273i | \(0.402309\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 7.54466 | + | 13.0677i | 0.241128 | + | 0.417647i | ||||
\(980\) | 1.01375 | − | 2.03112i | 0.0323830 | − | 0.0648819i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −31.1899 | + | 54.0224i | −0.995309 | + | 1.72393i | ||||
\(983\) | 1.14446 | − | 1.98226i | 0.0365025 | − | 0.0632242i | −0.847197 | − | 0.531279i | \(-0.821712\pi\) |
0.883700 | + | 0.468055i | \(0.155045\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.55465 | − | 2.69274i | −0.0495353 | − | 0.0857977i | ||||
\(986\) | −31.7789 | + | 55.0427i | −1.01205 | + | 1.75292i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.53311 | − | 2.65542i | −0.0487746 | − | 0.0844801i | ||||
\(989\) | −5.81707 | + | 10.0755i | −0.184972 | + | 0.320381i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −9.53491 | − | 16.5150i | −0.302886 | − | 0.524615i | 0.673902 | − | 0.738821i | \(-0.264617\pi\) |
−0.976789 | + | 0.214206i | \(0.931284\pi\) | |||||||
\(992\) | −20.4381 | −0.648911 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −6.11372 | − | 3.28668i | −0.193916 | − | 0.104247i | ||||
\(995\) | −1.45837 | + | 2.52598i | −0.0462336 | + | 0.0800789i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −18.5075 | + | 32.0560i | −0.586139 | + | 1.01522i | 0.408593 | + | 0.912717i | \(0.366020\pi\) |
−0.994732 | + | 0.102507i | \(0.967314\pi\) | |||||||
\(998\) | 9.51732 | + | 16.4845i | 0.301266 | + | 0.521807i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))