Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 389.1 | ||
Root | \(-0.766044 + 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.389 |
Dual form | 722.2.e.b.245.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | + | 0.984808i | 0.122788 | + | 0.696364i | ||||
\(3\) | −1.43969 | + | 1.20805i | −0.831207 | + | 0.697465i | −0.955568 | − | 0.294772i | \(-0.904756\pi\) |
0.124361 | + | 0.992237i | \(0.460312\pi\) | |||||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | −1.87939 | − | 0.684040i | −0.840487 | − | 0.305912i | −0.114331 | − | 0.993443i | \(-0.536473\pi\) |
−0.726155 | + | 0.687531i | \(0.758695\pi\) | |||||||
\(6\) | −1.43969 | − | 1.20805i | −0.587752 | − | 0.493183i | ||||
\(7\) | −2.53209 | + | 4.38571i | −0.957040 | + | 1.65764i | −0.227410 | + | 0.973799i | \(0.573026\pi\) |
−0.729630 | + | 0.683842i | \(0.760308\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 0.0923963 | − | 0.524005i | 0.0307988 | − | 0.174668i | ||||
\(10\) | 0.347296 | − | 1.96962i | 0.109825 | − | 0.622847i | ||||
\(11\) | 0.705737 | + | 1.22237i | 0.212788 | + | 0.368559i | 0.952586 | − | 0.304270i | \(-0.0984124\pi\) |
−0.739798 | + | 0.672829i | \(0.765079\pi\) | |||||||
\(12\) | 0.939693 | − | 1.62760i | 0.271266 | − | 0.469846i | ||||
\(13\) | −1.00000 | − | 0.839100i | −0.277350 | − | 0.232724i | 0.493492 | − | 0.869750i | \(-0.335720\pi\) |
−0.770843 | + | 0.637026i | \(0.780164\pi\) | |||||||
\(14\) | −4.75877 | − | 1.73205i | −1.27183 | − | 0.462910i | ||||
\(15\) | 3.53209 | − | 1.28558i | 0.911981 | − | 0.331934i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.414878 | + | 2.35289i | 0.100623 | + | 0.570659i | 0.992879 | + | 0.119130i | \(0.0380104\pi\) |
−0.892256 | + | 0.451530i | \(0.850879\pi\) | |||||||
\(18\) | 0.532089 | 0.125415 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 2.00000 | 0.447214 | ||||||||
\(21\) | −1.65270 | − | 9.37295i | −0.360650 | − | 2.04534i | ||||
\(22\) | −1.08125 | + | 0.907278i | −0.230524 | + | 0.193432i | ||||
\(23\) | 2.87939 | − | 1.04801i | 0.600393 | − | 0.218525i | −0.0239012 | − | 0.999714i | \(-0.507609\pi\) |
0.624295 | + | 0.781189i | \(0.285387\pi\) | |||||||
\(24\) | 1.76604 | + | 0.642788i | 0.360492 | + | 0.131208i | ||||
\(25\) | −0.766044 | − | 0.642788i | −0.153209 | − | 0.128558i | ||||
\(26\) | 0.652704 | − | 1.13052i | 0.128006 | − | 0.221712i | ||||
\(27\) | −2.31908 | − | 4.01676i | −0.446307 | − | 0.773026i | ||||
\(28\) | 0.879385 | − | 4.98724i | 0.166188 | − | 0.942500i | ||||
\(29\) | 1.46791 | − | 8.32494i | 0.272584 | − | 1.54590i | −0.473948 | − | 0.880553i | \(-0.657172\pi\) |
0.746532 | − | 0.665349i | \(-0.231717\pi\) | |||||||
\(30\) | 1.87939 | + | 3.25519i | 0.343127 | + | 0.594314i | ||||
\(31\) | −0.184793 | + | 0.320070i | −0.0331897 | + | 0.0574863i | −0.882143 | − | 0.470981i | \(-0.843900\pi\) |
0.848953 | + | 0.528468i | \(0.177233\pi\) | |||||||
\(32\) | 0.766044 | + | 0.642788i | 0.135419 | + | 0.113630i | ||||
\(33\) | −2.49273 | − | 0.907278i | −0.433928 | − | 0.157937i | ||||
\(34\) | −2.24510 | + | 0.817150i | −0.385031 | + | 0.140140i | ||||
\(35\) | 7.75877 | − | 6.51038i | 1.31147 | − | 1.10046i | ||||
\(36\) | 0.0923963 | + | 0.524005i | 0.0153994 | + | 0.0873342i | ||||
\(37\) | 4.82295 | 0.792888 | 0.396444 | − | 0.918059i | \(-0.370244\pi\) | ||||
0.396444 | + | 0.918059i | \(0.370244\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.45336 | 0.392853 | ||||||||
\(40\) | 0.347296 | + | 1.96962i | 0.0549124 | + | 0.311424i | ||||
\(41\) | −1.17365 | + | 0.984808i | −0.183293 | + | 0.153801i | −0.729818 | − | 0.683642i | \(-0.760395\pi\) |
0.546524 | + | 0.837443i | \(0.315951\pi\) | |||||||
\(42\) | 8.94356 | − | 3.25519i | 1.38002 | − | 0.502287i | ||||
\(43\) | 0.713011 | + | 0.259515i | 0.108733 | + | 0.0395756i | 0.395814 | − | 0.918331i | \(-0.370463\pi\) |
−0.287081 | + | 0.957906i | \(0.592685\pi\) | |||||||
\(44\) | −1.08125 | − | 0.907278i | −0.163005 | − | 0.136777i | ||||
\(45\) | −0.532089 | + | 0.921605i | −0.0793191 | + | 0.137385i | ||||
\(46\) | 1.53209 | + | 2.65366i | 0.225894 | + | 0.391260i | ||||
\(47\) | −1.77332 | + | 10.0570i | −0.258665 | + | 1.46696i | 0.527822 | + | 0.849355i | \(0.323009\pi\) |
−0.786487 | + | 0.617607i | \(0.788102\pi\) | |||||||
\(48\) | −0.326352 | + | 1.85083i | −0.0471048 | + | 0.267145i | ||||
\(49\) | −9.32295 | − | 16.1478i | −1.33185 | − | 2.30683i | ||||
\(50\) | 0.500000 | − | 0.866025i | 0.0707107 | − | 0.122474i | ||||
\(51\) | −3.43969 | − | 2.88624i | −0.481653 | − | 0.404155i | ||||
\(52\) | 1.22668 | + | 0.446476i | 0.170110 | + | 0.0619150i | ||||
\(53\) | −1.57398 | + | 0.572881i | −0.216202 | + | 0.0786913i | −0.447851 | − | 0.894108i | \(-0.647810\pi\) |
0.231648 | + | 0.972800i | \(0.425588\pi\) | |||||||
\(54\) | 3.55303 | − | 2.98135i | 0.483507 | − | 0.405710i | ||||
\(55\) | −0.490200 | − | 2.78006i | −0.0660985 | − | 0.374863i | ||||
\(56\) | 5.06418 | 0.676729 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 8.45336 | 1.10998 | ||||||||
\(59\) | 0.124485 | + | 0.705990i | 0.0162066 | + | 0.0919121i | 0.991838 | − | 0.127503i | \(-0.0406962\pi\) |
−0.975632 | + | 0.219415i | \(0.929585\pi\) | |||||||
\(60\) | −2.87939 | + | 2.41609i | −0.371727 | + | 0.311916i | ||||
\(61\) | −9.17024 | + | 3.33770i | −1.17413 | + | 0.427348i | −0.854125 | − | 0.520068i | \(-0.825907\pi\) |
−0.320005 | + | 0.947416i | \(0.603684\pi\) | |||||||
\(62\) | −0.347296 | − | 0.126406i | −0.0441067 | − | 0.0160535i | ||||
\(63\) | 2.06418 | + | 1.73205i | 0.260062 | + | 0.218218i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 1.30541 | + | 2.26103i | 0.161916 | + | 0.280446i | ||||
\(66\) | 0.460637 | − | 2.61240i | 0.0567005 | − | 0.321565i | ||||
\(67\) | −0.243756 | + | 1.38241i | −0.0297795 | + | 0.168888i | −0.996070 | − | 0.0885646i | \(-0.971772\pi\) |
0.966291 | + | 0.257453i | \(0.0828831\pi\) | |||||||
\(68\) | −1.19459 | − | 2.06910i | −0.144866 | − | 0.250915i | ||||
\(69\) | −2.87939 | + | 4.98724i | −0.346637 | + | 0.600393i | ||||
\(70\) | 7.75877 | + | 6.51038i | 0.927350 | + | 0.778139i | ||||
\(71\) | 5.98545 | + | 2.17853i | 0.710342 | + | 0.258544i | 0.671820 | − | 0.740714i | \(-0.265513\pi\) |
0.0385222 | + | 0.999258i | \(0.487735\pi\) | |||||||
\(72\) | −0.500000 | + | 0.181985i | −0.0589256 | + | 0.0214472i | ||||
\(73\) | −3.49273 | + | 2.93075i | −0.408793 | + | 0.343018i | −0.823880 | − | 0.566764i | \(-0.808195\pi\) |
0.415088 | + | 0.909781i | \(0.363751\pi\) | |||||||
\(74\) | 0.837496 | + | 4.74968i | 0.0973570 | + | 0.552139i | ||||
\(75\) | 1.87939 | 0.217013 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −7.14796 | −0.814585 | ||||||||
\(78\) | 0.426022 | + | 2.41609i | 0.0482375 | + | 0.273568i | ||||
\(79\) | −1.71688 | + | 1.44063i | −0.193164 | + | 0.162084i | −0.734240 | − | 0.678890i | \(-0.762462\pi\) |
0.541076 | + | 0.840974i | \(0.318017\pi\) | |||||||
\(80\) | −1.87939 | + | 0.684040i | −0.210122 | + | 0.0764780i | ||||
\(81\) | 9.69119 | + | 3.52730i | 1.07680 | + | 0.391923i | ||||
\(82\) | −1.17365 | − | 0.984808i | −0.129608 | − | 0.108754i | ||||
\(83\) | 1.99273 | − | 3.45150i | 0.218730 | − | 0.378852i | −0.735690 | − | 0.677319i | \(-0.763142\pi\) |
0.954420 | + | 0.298467i | \(0.0964752\pi\) | |||||||
\(84\) | 4.75877 | + | 8.24243i | 0.519224 | + | 0.899323i | ||||
\(85\) | 0.829755 | − | 4.70578i | 0.0899996 | − | 0.510413i | ||||
\(86\) | −0.131759 | + | 0.747243i | −0.0142080 | + | 0.0805773i | ||||
\(87\) | 7.94356 | + | 13.7587i | 0.851639 | + | 1.47508i | ||||
\(88\) | 0.705737 | − | 1.22237i | 0.0752318 | − | 0.130305i | ||||
\(89\) | −8.15523 | − | 6.84305i | −0.864453 | − | 0.725362i | 0.0984699 | − | 0.995140i | \(-0.468605\pi\) |
−0.962923 | + | 0.269778i | \(0.913050\pi\) | |||||||
\(90\) | −1.00000 | − | 0.363970i | −0.105409 | − | 0.0383658i | ||||
\(91\) | 6.21213 | − | 2.26103i | 0.651209 | − | 0.237021i | ||||
\(92\) | −2.34730 | + | 1.96962i | −0.244723 | + | 0.205347i | ||||
\(93\) | −0.120615 | − | 0.684040i | −0.0125072 | − | 0.0709317i | ||||
\(94\) | −10.2121 | −1.05330 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.87939 | −0.191814 | ||||||||
\(97\) | −0.266044 | − | 1.50881i | −0.0270127 | − | 0.153197i | 0.968318 | − | 0.249720i | \(-0.0803387\pi\) |
−0.995331 | + | 0.0965237i | \(0.969228\pi\) | |||||||
\(98\) | 14.2836 | − | 11.9854i | 1.44286 | − | 1.21070i | ||||
\(99\) | 0.705737 | − | 0.256867i | 0.0709292 | − | 0.0258161i | ||||
\(100\) | 0.939693 | + | 0.342020i | 0.0939693 | + | 0.0342020i | ||||
\(101\) | 6.75877 | + | 5.67128i | 0.672523 | + | 0.564314i | 0.913811 | − | 0.406140i | \(-0.133125\pi\) |
−0.241288 | + | 0.970454i | \(0.577570\pi\) | |||||||
\(102\) | 2.24510 | − | 3.88863i | 0.222298 | − | 0.385031i | ||||
\(103\) | 3.57398 | + | 6.19031i | 0.352155 | + | 0.609950i | 0.986627 | − | 0.162996i | \(-0.0521158\pi\) |
−0.634472 | + | 0.772946i | \(0.718782\pi\) | |||||||
\(104\) | −0.226682 | + | 1.28558i | −0.0222280 | + | 0.126061i | ||||
\(105\) | −3.30541 | + | 18.7459i | −0.322575 | + | 1.82941i | ||||
\(106\) | −0.837496 | − | 1.45059i | −0.0813448 | − | 0.140893i | ||||
\(107\) | 4.68479 | − | 8.11430i | 0.452896 | − | 0.784439i | −0.545669 | − | 0.838001i | \(-0.683724\pi\) |
0.998565 | + | 0.0535622i | \(0.0170576\pi\) | |||||||
\(108\) | 3.55303 | + | 2.98135i | 0.341891 | + | 0.286880i | ||||
\(109\) | −10.3969 | − | 3.78417i | −0.995845 | − | 0.362458i | −0.207864 | − | 0.978158i | \(-0.566651\pi\) |
−0.787981 | + | 0.615700i | \(0.788873\pi\) | |||||||
\(110\) | 2.65270 | − | 0.965505i | 0.252925 | − | 0.0920573i | ||||
\(111\) | −6.94356 | + | 5.82634i | −0.659054 | + | 0.553012i | ||||
\(112\) | 0.879385 | + | 4.98724i | 0.0830941 | + | 0.471250i | ||||
\(113\) | −13.2986 | −1.25103 | −0.625514 | − | 0.780213i | \(-0.715110\pi\) | ||||
−0.625514 | + | 0.780213i | \(0.715110\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.12836 | −0.571472 | ||||||||
\(116\) | 1.46791 | + | 8.32494i | 0.136292 | + | 0.772951i | ||||
\(117\) | −0.532089 | + | 0.446476i | −0.0491916 | + | 0.0412767i | ||||
\(118\) | −0.673648 | + | 0.245188i | −0.0620143 | + | 0.0225714i | ||||
\(119\) | −11.3696 | − | 4.13819i | −1.04225 | − | 0.379347i | ||||
\(120\) | −2.87939 | − | 2.41609i | −0.262851 | − | 0.220558i | ||||
\(121\) | 4.50387 | − | 7.80093i | 0.409443 | − | 0.709176i | ||||
\(122\) | −4.87939 | − | 8.45134i | −0.441759 | − | 0.765149i | ||||
\(123\) | 0.500000 | − | 2.83564i | 0.0450835 | − | 0.255681i | ||||
\(124\) | 0.0641778 | − | 0.363970i | 0.00576333 | − | 0.0326855i | ||||
\(125\) | 6.00000 | + | 10.3923i | 0.536656 | + | 0.929516i | ||||
\(126\) | −1.34730 | + | 2.33359i | −0.120027 | + | 0.207892i | ||||
\(127\) | −4.37733 | − | 3.67301i | −0.388425 | − | 0.325927i | 0.427574 | − | 0.903980i | \(-0.359368\pi\) |
−0.815999 | + | 0.578053i | \(0.803813\pi\) | |||||||
\(128\) | −0.939693 | − | 0.342020i | −0.0830579 | − | 0.0302306i | ||||
\(129\) | −1.34002 | + | 0.487728i | −0.117982 | + | 0.0429421i | ||||
\(130\) | −2.00000 | + | 1.67820i | −0.175412 | + | 0.147188i | ||||
\(131\) | −1.71554 | − | 9.72930i | −0.149887 | − | 0.850052i | −0.963312 | − | 0.268383i | \(-0.913511\pi\) |
0.813425 | − | 0.581670i | \(-0.197600\pi\) | |||||||
\(132\) | 2.65270 | 0.230888 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −1.40373 | −0.121264 | ||||||||
\(135\) | 1.61081 | + | 9.13538i | 0.138637 | + | 0.786249i | ||||
\(136\) | 1.83022 | − | 1.53574i | 0.156940 | − | 0.131689i | ||||
\(137\) | −5.07145 | + | 1.84586i | −0.433283 | + | 0.157702i | −0.549448 | − | 0.835528i | \(-0.685162\pi\) |
0.116165 | + | 0.993230i | \(0.462940\pi\) | |||||||
\(138\) | −5.41147 | − | 1.96962i | −0.460655 | − | 0.167665i | ||||
\(139\) | −1.79220 | − | 1.50384i | −0.152013 | − | 0.127554i | 0.563609 | − | 0.826041i | \(-0.309412\pi\) |
−0.715622 | + | 0.698488i | \(0.753857\pi\) | |||||||
\(140\) | −5.06418 | + | 8.77141i | −0.428001 | + | 0.741320i | ||||
\(141\) | −9.59627 | − | 16.6212i | −0.808151 | − | 1.39976i | ||||
\(142\) | −1.10607 | + | 6.27282i | −0.0928191 | + | 0.526403i | ||||
\(143\) | 0.319955 | − | 1.81456i | 0.0267560 | − | 0.151741i | ||||
\(144\) | −0.266044 | − | 0.460802i | −0.0221704 | − | 0.0384002i | ||||
\(145\) | −8.45336 | + | 14.6417i | −0.702014 | + | 1.21592i | ||||
\(146\) | −3.49273 | − | 2.93075i | −0.289060 | − | 0.242550i | ||||
\(147\) | 32.9295 | + | 11.9854i | 2.71598 | + | 0.988535i | ||||
\(148\) | −4.53209 | + | 1.64955i | −0.372535 | + | 0.135592i | ||||
\(149\) | −11.0077 | + | 9.23659i | −0.901789 | + | 0.756691i | −0.970539 | − | 0.240943i | \(-0.922543\pi\) |
0.0687500 | + | 0.997634i | \(0.478099\pi\) | |||||||
\(150\) | 0.326352 | + | 1.85083i | 0.0266465 | + | 0.151120i | ||||
\(151\) | −20.8384 | −1.69581 | −0.847904 | − | 0.530150i | \(-0.822135\pi\) | ||||
−0.847904 | + | 0.530150i | \(0.822135\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.27126 | 0.102775 | ||||||||
\(154\) | −1.24123 | − | 7.03936i | −0.100021 | − | 0.567248i | ||||
\(155\) | 0.566237 | − | 0.475129i | 0.0454813 | − | 0.0381633i | ||||
\(156\) | −2.30541 | + | 0.839100i | −0.184580 | + | 0.0671817i | ||||
\(157\) | −5.98545 | − | 2.17853i | −0.477691 | − | 0.173865i | 0.0919421 | − | 0.995764i | \(-0.470693\pi\) |
−0.569633 | + | 0.821899i | \(0.692915\pi\) | |||||||
\(158\) | −1.71688 | − | 1.44063i | −0.136588 | − | 0.114611i | ||||
\(159\) | 1.57398 | − | 2.72621i | 0.124825 | − | 0.216202i | ||||
\(160\) | −1.00000 | − | 1.73205i | −0.0790569 | − | 0.136931i | ||||
\(161\) | −2.69459 | + | 15.2818i | −0.212364 | + | 1.20437i | ||||
\(162\) | −1.79086 | + | 10.1565i | −0.140703 | + | 0.797968i | ||||
\(163\) | −2.36571 | − | 4.09754i | −0.185297 | − | 0.320944i | 0.758380 | − | 0.651813i | \(-0.225991\pi\) |
−0.943677 | + | 0.330869i | \(0.892658\pi\) | |||||||
\(164\) | 0.766044 | − | 1.32683i | 0.0598180 | − | 0.103608i | ||||
\(165\) | 4.06418 | + | 3.41025i | 0.316396 | + | 0.265488i | ||||
\(166\) | 3.74510 | + | 1.36310i | 0.290676 | + | 0.105797i | ||||
\(167\) | −16.2344 | + | 5.90885i | −1.25626 | + | 0.457240i | −0.882511 | − | 0.470291i | \(-0.844149\pi\) |
−0.373746 | + | 0.927531i | \(0.621927\pi\) | |||||||
\(168\) | −7.29086 | + | 6.11776i | −0.562502 | + | 0.471995i | ||||
\(169\) | −1.96151 | − | 11.1243i | −0.150886 | − | 0.855716i | ||||
\(170\) | 4.77837 | 0.366484 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.758770 | −0.0578557 | ||||||||
\(173\) | 3.26857 | + | 18.5370i | 0.248505 | + | 1.40934i | 0.812210 | + | 0.583365i | \(0.198264\pi\) |
−0.563705 | + | 0.825976i | \(0.690625\pi\) | |||||||
\(174\) | −12.1702 | + | 10.2120i | −0.922624 | + | 0.774173i | ||||
\(175\) | 4.75877 | − | 1.73205i | 0.359729 | − | 0.130931i | ||||
\(176\) | 1.32635 | + | 0.482753i | 0.0999775 | + | 0.0363888i | ||||
\(177\) | −1.03209 | − | 0.866025i | −0.0775766 | − | 0.0650945i | ||||
\(178\) | 5.32295 | − | 9.21962i | 0.398972 | − | 0.691039i | ||||
\(179\) | 6.91400 | + | 11.9754i | 0.516777 | + | 0.895083i | 0.999810 | + | 0.0194816i | \(0.00620157\pi\) |
−0.483034 | + | 0.875602i | \(0.660465\pi\) | |||||||
\(180\) | 0.184793 | − | 1.04801i | 0.0137736 | − | 0.0781141i | ||||
\(181\) | 2.12836 | − | 12.0705i | 0.158199 | − | 0.897194i | −0.797603 | − | 0.603183i | \(-0.793899\pi\) |
0.955802 | − | 0.294010i | \(-0.0949901\pi\) | |||||||
\(182\) | 3.30541 | + | 5.72513i | 0.245013 | + | 0.424375i | ||||
\(183\) | 9.17024 | − | 15.8833i | 0.677884 | − | 1.17413i | ||||
\(184\) | −2.34730 | − | 1.96962i | −0.173045 | − | 0.145202i | ||||
\(185\) | −9.06418 | − | 3.29909i | −0.666412 | − | 0.242554i | ||||
\(186\) | 0.652704 | − | 0.237565i | 0.0478586 | − | 0.0174191i | ||||
\(187\) | −2.58331 | + | 2.16766i | −0.188910 | + | 0.158515i | ||||
\(188\) | −1.77332 | − | 10.0570i | −0.129333 | − | 0.733481i | ||||
\(189\) | 23.4884 | 1.70853 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −20.0993 | −1.45433 | −0.727166 | − | 0.686462i | \(-0.759163\pi\) | ||||
−0.727166 | + | 0.686462i | \(0.759163\pi\) | |||||||
\(192\) | −0.326352 | − | 1.85083i | −0.0235524 | − | 0.133572i | ||||
\(193\) | 12.7815 | − | 10.7250i | 0.920034 | − | 0.772001i | −0.0539670 | − | 0.998543i | \(-0.517187\pi\) |
0.974001 | + | 0.226542i | \(0.0727421\pi\) | |||||||
\(194\) | 1.43969 | − | 0.524005i | 0.103364 | − | 0.0376214i | ||||
\(195\) | −4.61081 | − | 1.67820i | −0.330187 | − | 0.120178i | ||||
\(196\) | 14.2836 | + | 11.9854i | 1.02026 | + | 0.856097i | ||||
\(197\) | −6.49525 | + | 11.2501i | −0.462768 | + | 0.801537i | −0.999098 | − | 0.0424714i | \(-0.986477\pi\) |
0.536330 | + | 0.844008i | \(0.319810\pi\) | |||||||
\(198\) | 0.375515 | + | 0.650411i | 0.0266867 | + | 0.0462227i | ||||
\(199\) | 2.98545 | − | 16.9313i | 0.211633 | − | 1.20023i | −0.675021 | − | 0.737798i | \(-0.735866\pi\) |
0.886654 | − | 0.462433i | \(-0.153023\pi\) | |||||||
\(200\) | −0.173648 | + | 0.984808i | −0.0122788 | + | 0.0696364i | ||||
\(201\) | −1.31908 | − | 2.28471i | −0.0930406 | − | 0.161151i | ||||
\(202\) | −4.41147 | + | 7.64090i | −0.310390 | + | 0.537612i | ||||
\(203\) | 32.7939 | + | 27.5173i | 2.30168 | + | 1.93134i | ||||
\(204\) | 4.21941 | + | 1.53574i | 0.295418 | + | 0.107523i | ||||
\(205\) | 2.87939 | − | 1.04801i | 0.201105 | − | 0.0731962i | ||||
\(206\) | −5.47565 | + | 4.59462i | −0.381507 | + | 0.320122i | ||||
\(207\) | −0.283119 | − | 1.60565i | −0.0196781 | − | 0.111600i | ||||
\(208\) | −1.30541 | −0.0905137 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −19.0351 | −1.31355 | ||||||||
\(211\) | −2.79726 | − | 15.8640i | −0.192571 | − | 1.09212i | −0.915836 | − | 0.401554i | \(-0.868470\pi\) |
0.723265 | − | 0.690571i | \(-0.242641\pi\) | |||||||
\(212\) | 1.28312 | − | 1.07666i | 0.0881249 | − | 0.0739456i | ||||
\(213\) | −11.2490 | + | 4.09429i | −0.770767 | + | 0.280536i | ||||
\(214\) | 8.80453 | + | 3.20459i | 0.601865 | + | 0.219061i | ||||
\(215\) | −1.16250 | − | 0.975457i | −0.0792821 | − | 0.0665256i | ||||
\(216\) | −2.31908 | + | 4.01676i | −0.157793 | + | 0.273306i | ||||
\(217\) | −0.935822 | − | 1.62089i | −0.0635278 | − | 0.110033i | ||||
\(218\) | 1.92127 | − | 10.8961i | 0.130125 | − | 0.737976i | ||||
\(219\) | 1.48798 | − | 8.43874i | 0.100548 | − | 0.570237i | ||||
\(220\) | 1.41147 | + | 2.44474i | 0.0951616 | + | 0.164825i | ||||
\(221\) | 1.55943 | − | 2.70101i | 0.104899 | − | 0.181690i | ||||
\(222\) | −6.94356 | − | 5.82634i | −0.466021 | − | 0.391038i | ||||
\(223\) | −3.83750 | − | 1.39673i | −0.256978 | − | 0.0935323i | 0.210319 | − | 0.977633i | \(-0.432550\pi\) |
−0.467297 | + | 0.884101i | \(0.654772\pi\) | |||||||
\(224\) | −4.75877 | + | 1.73205i | −0.317959 | + | 0.115728i | ||||
\(225\) | −0.407604 | + | 0.342020i | −0.0271736 | + | 0.0228013i | ||||
\(226\) | −2.30928 | − | 13.0966i | −0.153611 | − | 0.871171i | ||||
\(227\) | 13.6604 | 0.906676 | 0.453338 | − | 0.891339i | \(-0.350233\pi\) | ||||
0.453338 | + | 0.891339i | \(0.350233\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.22163 | −0.345055 | −0.172527 | − | 0.985005i | \(-0.555193\pi\) | ||||
−0.172527 | + | 0.985005i | \(0.555193\pi\) | |||||||
\(230\) | −1.06418 | − | 6.03525i | −0.0701698 | − | 0.397953i | ||||
\(231\) | 10.2909 | − | 8.63506i | 0.677089 | − | 0.568145i | ||||
\(232\) | −7.94356 | + | 2.89122i | −0.521520 | + | 0.189818i | ||||
\(233\) | 25.4119 | + | 9.24919i | 1.66479 | + | 0.605935i | 0.991105 | − | 0.133083i | \(-0.0424875\pi\) |
0.673687 | + | 0.739017i | \(0.264710\pi\) | |||||||
\(234\) | −0.532089 | − | 0.446476i | −0.0347837 | − | 0.0291870i | ||||
\(235\) | 10.2121 | − | 17.6879i | 0.666166 | − | 1.15383i | ||||
\(236\) | −0.358441 | − | 0.620838i | −0.0233325 | − | 0.0404131i | ||||
\(237\) | 0.731429 | − | 4.14814i | 0.0475114 | − | 0.269451i | ||||
\(238\) | 2.10101 | − | 11.9154i | 0.136189 | − | 0.772364i | ||||
\(239\) | 0.142903 | + | 0.247516i | 0.00924366 | + | 0.0160105i | 0.870610 | − | 0.491973i | \(-0.163724\pi\) |
−0.861367 | + | 0.507984i | \(0.830391\pi\) | |||||||
\(240\) | 1.87939 | − | 3.25519i | 0.121314 | − | 0.210122i | ||||
\(241\) | 2.37551 | + | 1.99329i | 0.153020 | + | 0.128399i | 0.716084 | − | 0.698014i | \(-0.245933\pi\) |
−0.563063 | + | 0.826414i | \(0.690377\pi\) | |||||||
\(242\) | 8.46451 | + | 3.08083i | 0.544119 | + | 0.198043i | ||||
\(243\) | −5.13816 | + | 1.87014i | −0.329613 | + | 0.119969i | ||||
\(244\) | 7.47565 | − | 6.27282i | 0.478580 | − | 0.401576i | ||||
\(245\) | 6.47565 | + | 36.7252i | 0.413714 | + | 2.34629i | ||||
\(246\) | 2.87939 | 0.183583 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0.369585 | 0.0234687 | ||||||||
\(249\) | 1.30066 | + | 7.37641i | 0.0824259 | + | 0.467461i | ||||
\(250\) | −9.19253 | + | 7.71345i | −0.581387 | + | 0.487841i | ||||
\(251\) | 11.8944 | − | 4.32921i | 0.750768 | − | 0.273257i | 0.0618390 | − | 0.998086i | \(-0.480303\pi\) |
0.688929 | + | 0.724829i | \(0.258081\pi\) | |||||||
\(252\) | −2.53209 | − | 0.921605i | −0.159507 | − | 0.0580557i | ||||
\(253\) | 3.31315 | + | 2.78006i | 0.208296 | + | 0.174781i | ||||
\(254\) | 2.85710 | − | 4.94864i | 0.179270 | − | 0.310505i | ||||
\(255\) | 4.49020 | + | 7.77725i | 0.281187 | + | 0.487031i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −5.27766 | + | 29.9311i | −0.329211 | + | 1.86705i | 0.149048 | + | 0.988830i | \(0.452379\pi\) |
−0.478259 | + | 0.878219i | \(0.658732\pi\) | |||||||
\(258\) | −0.713011 | − | 1.23497i | −0.0443901 | − | 0.0768860i | ||||
\(259\) | −12.2121 | + | 21.1520i | −0.758825 | + | 1.31432i | ||||
\(260\) | −2.00000 | − | 1.67820i | −0.124035 | − | 0.104078i | ||||
\(261\) | −4.22668 | − | 1.53839i | −0.261625 | − | 0.0952237i | ||||
\(262\) | 9.28359 | − | 3.37895i | 0.573542 | − | 0.208752i | ||||
\(263\) | 16.7784 | − | 14.0787i | 1.03460 | − | 0.868131i | 0.0432077 | − | 0.999066i | \(-0.486242\pi\) |
0.991391 | + | 0.130935i | \(0.0417978\pi\) | |||||||
\(264\) | 0.460637 | + | 2.61240i | 0.0283503 | + | 0.160782i | ||||
\(265\) | 3.34998 | 0.205788 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 20.0077 | 1.22445 | ||||||||
\(268\) | −0.243756 | − | 1.38241i | −0.0148898 | − | 0.0844440i | ||||
\(269\) | −1.09833 | + | 0.921605i | −0.0669661 | + | 0.0561912i | −0.675656 | − | 0.737217i | \(-0.736140\pi\) |
0.608690 | + | 0.793408i | \(0.291695\pi\) | |||||||
\(270\) | −8.71688 | + | 3.17269i | −0.530493 | + | 0.193083i | ||||
\(271\) | −15.1976 | − | 5.53147i | −0.923188 | − | 0.336013i | −0.163682 | − | 0.986513i | \(-0.552337\pi\) |
−0.759506 | + | 0.650500i | \(0.774559\pi\) | |||||||
\(272\) | 1.83022 | + | 1.53574i | 0.110974 | + | 0.0931178i | ||||
\(273\) | −6.21213 | + | 10.7597i | −0.375975 | + | 0.651209i | ||||
\(274\) | −2.69846 | − | 4.67388i | −0.163020 | − | 0.282359i | ||||
\(275\) | 0.245100 | − | 1.39003i | 0.0147801 | − | 0.0838220i | ||||
\(276\) | 1.00000 | − | 5.67128i | 0.0601929 | − | 0.341371i | ||||
\(277\) | −5.55438 | − | 9.62046i | −0.333730 | − | 0.578038i | 0.649510 | − | 0.760353i | \(-0.274974\pi\) |
−0.983240 | + | 0.182315i | \(0.941641\pi\) | |||||||
\(278\) | 1.16978 | − | 2.02611i | 0.0701586 | − | 0.121518i | ||||
\(279\) | 0.150644 | + | 0.126406i | 0.00901884 | + | 0.00756770i | ||||
\(280\) | −9.51754 | − | 3.46410i | −0.568782 | − | 0.207020i | ||||
\(281\) | −3.99273 | + | 1.45323i | −0.238186 | + | 0.0866926i | −0.458355 | − | 0.888769i | \(-0.651561\pi\) |
0.220169 | + | 0.975462i | \(0.429339\pi\) | |||||||
\(282\) | 14.7023 | − | 12.3367i | 0.875511 | − | 0.734641i | ||||
\(283\) | −0.947433 | − | 5.37316i | −0.0563191 | − | 0.319401i | 0.943613 | − | 0.331050i | \(-0.107403\pi\) |
−0.999932 | + | 0.0116491i | \(0.996292\pi\) | |||||||
\(284\) | −6.36959 | −0.377965 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.84255 | 0.108952 | ||||||||
\(287\) | −1.34730 | − | 7.64090i | −0.0795284 | − | 0.451028i | ||||
\(288\) | 0.407604 | − | 0.342020i | 0.0240183 | − | 0.0201537i | ||||
\(289\) | 10.6108 | − | 3.86202i | 0.624166 | − | 0.227178i | ||||
\(290\) | −15.8871 | − | 5.78244i | −0.932924 | − | 0.339557i | ||||
\(291\) | 2.20574 | + | 1.85083i | 0.129303 | + | 0.108498i | ||||
\(292\) | 2.27972 | − | 3.94858i | 0.133410 | − | 0.231073i | ||||
\(293\) | −8.90673 | − | 15.4269i | −0.520337 | − | 0.901249i | −0.999720 | − | 0.0236440i | \(-0.992473\pi\) |
0.479384 | − | 0.877605i | \(-0.340860\pi\) | |||||||
\(294\) | −6.08512 | + | 34.5104i | −0.354892 | + | 2.01269i | ||||
\(295\) | 0.248970 | − | 1.41198i | 0.0144956 | − | 0.0822087i | ||||
\(296\) | −2.41147 | − | 4.17680i | −0.140164 | − | 0.242771i | ||||
\(297\) | 3.27332 | − | 5.66955i | 0.189937 | − | 0.328981i | ||||
\(298\) | −11.0077 | − | 9.23659i | −0.637661 | − | 0.535061i | ||||
\(299\) | −3.75877 | − | 1.36808i | −0.217375 | − | 0.0791181i | ||||
\(300\) | −1.76604 | + | 0.642788i | −0.101963 | + | 0.0371114i | ||||
\(301\) | −2.94356 | + | 2.46994i | −0.169664 | + | 0.142365i | ||||
\(302\) | −3.61856 | − | 20.5218i | −0.208224 | − | 1.18090i | ||||
\(303\) | −16.5817 | −0.952595 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 19.5175 | 1.11757 | ||||||||
\(306\) | 0.220752 | + | 1.25195i | 0.0126195 | + | 0.0715690i | ||||
\(307\) | −21.9538 | + | 18.4215i | −1.25297 | + | 1.05137i | −0.256577 | + | 0.966524i | \(0.582595\pi\) |
−0.996394 | + | 0.0848439i | \(0.972961\pi\) | |||||||
\(308\) | 6.71688 | − | 2.44474i | 0.382730 | − | 0.139302i | ||||
\(309\) | −12.6236 | − | 4.59462i | −0.718132 | − | 0.261379i | ||||
\(310\) | 0.566237 | + | 0.475129i | 0.0321601 | + | 0.0269855i | ||||
\(311\) | −7.90673 | + | 13.6949i | −0.448349 | + | 0.776564i | −0.998279 | − | 0.0586473i | \(-0.981321\pi\) |
0.549929 | + | 0.835211i | \(0.314655\pi\) | |||||||
\(312\) | −1.22668 | − | 2.12467i | −0.0694472 | − | 0.120286i | ||||
\(313\) | 2.28177 | − | 12.9406i | 0.128974 | − | 0.731445i | −0.849895 | − | 0.526953i | \(-0.823334\pi\) |
0.978868 | − | 0.204492i | \(-0.0655544\pi\) | |||||||
\(314\) | 1.10607 | − | 6.27282i | 0.0624190 | − | 0.353996i | ||||
\(315\) | −2.69459 | − | 4.66717i | −0.151823 | − | 0.262965i | ||||
\(316\) | 1.12061 | − | 1.94096i | 0.0630395 | − | 0.109188i | ||||
\(317\) | −16.3969 | − | 13.7587i | −0.920943 | − | 0.772763i | 0.0532260 | − | 0.998582i | \(-0.483050\pi\) |
−0.974169 | + | 0.225819i | \(0.927494\pi\) | |||||||
\(318\) | 2.95811 | + | 1.07666i | 0.165883 | + | 0.0603763i | ||||
\(319\) | 11.2121 | − | 4.08088i | 0.627759 | − | 0.228486i | ||||
\(320\) | 1.53209 | − | 1.28558i | 0.0856464 | − | 0.0718658i | ||||
\(321\) | 3.05778 | + | 17.3415i | 0.170669 | + | 0.967910i | ||||
\(322\) | −15.5175 | −0.864759 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −10.3131 | −0.572953 | ||||||||
\(325\) | 0.226682 | + | 1.28558i | 0.0125740 | + | 0.0713109i | ||||
\(326\) | 3.62449 | − | 3.04130i | 0.200742 | − | 0.168442i | ||||
\(327\) | 19.5398 | − | 7.11192i | 1.08056 | − | 0.393290i | ||||
\(328\) | 1.43969 | + | 0.524005i | 0.0794937 | + | 0.0289334i | ||||
\(329\) | −39.6168 | − | 33.2424i | −2.18414 | − | 1.83272i | ||||
\(330\) | −2.65270 | + | 4.59462i | −0.146027 | + | 0.252925i | ||||
\(331\) | 12.6989 | + | 21.9952i | 0.697996 | + | 1.20897i | 0.969160 | + | 0.246432i | \(0.0792582\pi\) |
−0.271164 | + | 0.962533i | \(0.587409\pi\) | |||||||
\(332\) | −0.692066 | + | 3.92490i | −0.0379821 | + | 0.215407i | ||||
\(333\) | 0.445622 | − | 2.52725i | 0.0244200 | − | 0.138492i | ||||
\(334\) | −8.63816 | − | 14.9617i | −0.472659 | − | 0.818669i | ||||
\(335\) | 1.40373 | − | 2.43134i | 0.0766941 | − | 0.132838i | ||||
\(336\) | −7.29086 | − | 6.11776i | −0.397749 | − | 0.333751i | ||||
\(337\) | −24.7866 | − | 9.02158i | −1.35021 | − | 0.491437i | −0.437197 | − | 0.899366i | \(-0.644029\pi\) |
−0.913014 | + | 0.407929i | \(0.866251\pi\) | |||||||
\(338\) | 10.6147 | − | 3.86343i | 0.577363 | − | 0.210143i | ||||
\(339\) | 19.1459 | − | 16.0653i | 1.03986 | − | 0.872548i | ||||
\(340\) | 0.829755 | + | 4.70578i | 0.0449998 | + | 0.255207i | ||||
\(341\) | −0.521660 | −0.0282495 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 58.9769 | 3.18445 | ||||||||
\(344\) | −0.131759 | − | 0.747243i | −0.00710398 | − | 0.0402886i | ||||
\(345\) | 8.82295 | − | 7.40333i | 0.475012 | − | 0.398582i | ||||
\(346\) | −17.6878 | + | 6.43783i | −0.950901 | + | 0.346100i | ||||
\(347\) | 24.0856 | + | 8.76644i | 1.29298 | + | 0.470607i | 0.894705 | − | 0.446658i | \(-0.147386\pi\) |
0.398277 | + | 0.917265i | \(0.369608\pi\) | |||||||
\(348\) | −12.1702 | − | 10.2120i | −0.652394 | − | 0.547423i | ||||
\(349\) | 2.92127 | − | 5.05980i | 0.156372 | − | 0.270845i | −0.777186 | − | 0.629271i | \(-0.783353\pi\) |
0.933558 | + | 0.358427i | \(0.116687\pi\) | |||||||
\(350\) | 2.53209 | + | 4.38571i | 0.135346 | + | 0.234426i | ||||
\(351\) | −1.05138 | + | 5.96270i | −0.0561188 | + | 0.318265i | ||||
\(352\) | −0.245100 | + | 1.39003i | −0.0130639 | + | 0.0740889i | ||||
\(353\) | 11.2049 | + | 19.4074i | 0.596375 | + | 1.03295i | 0.993351 | + | 0.115122i | \(0.0367260\pi\) |
−0.396977 | + | 0.917829i | \(0.629941\pi\) | |||||||
\(354\) | 0.673648 | − | 1.16679i | 0.0358040 | − | 0.0620143i | ||||
\(355\) | −9.75877 | − | 8.18858i | −0.517942 | − | 0.434605i | ||||
\(356\) | 10.0039 | + | 3.64111i | 0.530204 | + | 0.192978i | ||||
\(357\) | 21.3678 | − | 7.77725i | 1.13091 | − | 0.411616i | ||||
\(358\) | −10.5929 | + | 8.88847i | −0.559850 | + | 0.469770i | ||||
\(359\) | 1.66994 | + | 9.47070i | 0.0881361 | + | 0.499844i | 0.996636 | + | 0.0819588i | \(0.0261176\pi\) |
−0.908500 | + | 0.417886i | \(0.862771\pi\) | |||||||
\(360\) | 1.06418 | 0.0560871 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 12.2567 | 0.644198 | ||||||||
\(363\) | 2.93969 | + | 16.6718i | 0.154294 | + | 0.875044i | ||||
\(364\) | −5.06418 | + | 4.24935i | −0.265435 | + | 0.222726i | ||||
\(365\) | 8.56893 | − | 3.11883i | 0.448518 | − | 0.163247i | ||||
\(366\) | 17.2344 | + | 6.27282i | 0.900858 | + | 0.327885i | ||||
\(367\) | 17.8949 | + | 15.0156i | 0.934104 | + | 0.783807i | 0.976550 | − | 0.215292i | \(-0.0690704\pi\) |
−0.0424453 | + | 0.999099i | \(0.513515\pi\) | |||||||
\(368\) | 1.53209 | − | 2.65366i | 0.0798657 | − | 0.138331i | ||||
\(369\) | 0.407604 | + | 0.705990i | 0.0212190 | + | 0.0367524i | ||||
\(370\) | 1.67499 | − | 9.49935i | 0.0870787 | − | 0.493848i | ||||
\(371\) | 1.47296 | − | 8.35359i | 0.0764725 | − | 0.433697i | ||||
\(372\) | 0.347296 | + | 0.601535i | 0.0180065 | + | 0.0311881i | ||||
\(373\) | 12.9709 | − | 22.4663i | 0.671608 | − | 1.16326i | −0.305840 | − | 0.952083i | \(-0.598937\pi\) |
0.977448 | − | 0.211176i | \(-0.0677294\pi\) | |||||||
\(374\) | −2.58331 | − | 2.16766i | −0.133580 | − | 0.112087i | ||||
\(375\) | −21.1925 | − | 7.71345i | −1.09438 | − | 0.398321i | ||||
\(376\) | 9.59627 | − | 3.49276i | 0.494890 | − | 0.180125i | ||||
\(377\) | −8.45336 | + | 7.09321i | −0.435370 | + | 0.365319i | ||||
\(378\) | 4.07873 | + | 23.1316i | 0.209787 | + | 1.18976i | ||||
\(379\) | 9.47834 | 0.486870 | 0.243435 | − | 0.969917i | \(-0.421726\pi\) | ||||
0.243435 | + | 0.969917i | \(0.421726\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 10.7392 | 0.550184 | ||||||||
\(382\) | −3.49020 | − | 19.7939i | −0.178574 | − | 1.01274i | ||||
\(383\) | −10.3327 | + | 8.67021i | −0.527979 | + | 0.443027i | −0.867403 | − | 0.497607i | \(-0.834212\pi\) |
0.339424 | + | 0.940633i | \(0.389768\pi\) | |||||||
\(384\) | 1.76604 | − | 0.642788i | 0.0901231 | − | 0.0328021i | ||||
\(385\) | 13.4338 | + | 4.88949i | 0.684648 | + | 0.249191i | ||||
\(386\) | 12.7815 | + | 10.7250i | 0.650563 | + | 0.545887i | ||||
\(387\) | 0.201867 | − | 0.349643i | 0.0102615 | − | 0.0177734i | ||||
\(388\) | 0.766044 | + | 1.32683i | 0.0388900 | + | 0.0673595i | ||||
\(389\) | −4.36690 | + | 24.7659i | −0.221410 | + | 1.25568i | 0.648019 | + | 0.761624i | \(0.275598\pi\) |
−0.869430 | + | 0.494057i | \(0.835513\pi\) | |||||||
\(390\) | 0.852044 | − | 4.83218i | 0.0431449 | − | 0.244687i | ||||
\(391\) | 3.66044 | + | 6.34008i | 0.185117 | + | 0.320631i | ||||
\(392\) | −9.32295 | + | 16.1478i | −0.470880 | + | 0.815588i | ||||
\(393\) | 14.2233 | + | 11.9347i | 0.717469 | + | 0.602028i | ||||
\(394\) | −12.2071 | − | 4.44301i | −0.614984 | − | 0.223836i | ||||
\(395\) | 4.21213 | − | 1.53309i | 0.211935 | − | 0.0771382i | ||||
\(396\) | −0.575322 | + | 0.482753i | −0.0289110 | + | 0.0242592i | ||||
\(397\) | 1.14022 | + | 6.46648i | 0.0572258 | + | 0.324543i | 0.999959 | − | 0.00900292i | \(-0.00286576\pi\) |
−0.942734 | + | 0.333546i | \(0.891755\pi\) | |||||||
\(398\) | 17.1925 | 0.861784 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.00000 | −0.0500000 | ||||||||
\(401\) | −5.12449 | − | 29.0624i | −0.255905 | − | 1.45131i | −0.793740 | − | 0.608257i | \(-0.791869\pi\) |
0.537835 | − | 0.843050i | \(-0.319242\pi\) | |||||||
\(402\) | 2.02094 | − | 1.69577i | 0.100796 | − | 0.0845775i | ||||
\(403\) | 0.453363 | − | 0.165011i | 0.0225836 | − | 0.00821977i | ||||
\(404\) | −8.29086 | − | 3.01763i | −0.412486 | − | 0.150133i | ||||
\(405\) | −15.8007 | − | 13.2583i | −0.785141 | − | 0.658812i | ||||
\(406\) | −21.4047 | + | 37.0740i | −1.06230 | + | 1.83995i | ||||
\(407\) | 3.40373 | + | 5.89544i | 0.168717 | + | 0.292226i | ||||
\(408\) | −0.779715 | + | 4.42198i | −0.0386016 | + | 0.218921i | ||||
\(409\) | 3.66937 | − | 20.8100i | 0.181439 | − | 1.02899i | −0.749008 | − | 0.662561i | \(-0.769470\pi\) |
0.930446 | − | 0.366428i | \(-0.119419\pi\) | |||||||
\(410\) | 1.53209 | + | 2.65366i | 0.0756645 | + | 0.131055i | ||||
\(411\) | 5.07145 | − | 8.78401i | 0.250156 | − | 0.433283i | ||||
\(412\) | −5.47565 | − | 4.59462i | −0.269766 | − | 0.226361i | ||||
\(413\) | −3.41147 | − | 1.24168i | −0.167868 | − | 0.0610988i | ||||
\(414\) | 1.53209 | − | 0.557635i | 0.0752981 | − | 0.0274063i | ||||
\(415\) | −6.10607 | + | 5.12360i | −0.299735 | + | 0.251508i | ||||
\(416\) | −0.226682 | − | 1.28558i | −0.0111140 | − | 0.0630305i | ||||
\(417\) | 4.39693 | 0.215318 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −27.8830 | −1.36217 | −0.681087 | − | 0.732202i | \(-0.738492\pi\) | ||||
−0.681087 | + | 0.732202i | \(0.738492\pi\) | |||||||
\(420\) | −3.30541 | − | 18.7459i | −0.161287 | − | 0.914706i | ||||
\(421\) | −0.0341483 | + | 0.0286538i | −0.00166429 | + | 0.00139650i | −0.643619 | − | 0.765346i | \(-0.722568\pi\) |
0.641955 | + | 0.766742i | \(0.278124\pi\) | |||||||
\(422\) | 15.1373 | − | 5.50952i | 0.736871 | − | 0.268199i | ||||
\(423\) | 5.10607 | + | 1.85846i | 0.248265 | + | 0.0903612i | ||||
\(424\) | 1.28312 | + | 1.07666i | 0.0623137 | + | 0.0522874i | ||||
\(425\) | 1.19459 | − | 2.06910i | 0.0579463 | − | 0.100366i | ||||
\(426\) | −5.98545 | − | 10.3671i | −0.289996 | − | 0.502288i | ||||
\(427\) | 8.58172 | − | 48.6693i | 0.415298 | − | 2.35527i | ||||
\(428\) | −1.62701 | + | 9.22724i | −0.0786446 | + | 0.446015i | ||||
\(429\) | 1.73143 | + | 2.99892i | 0.0835942 | + | 0.144789i | ||||
\(430\) | 0.758770 | − | 1.31423i | 0.0365912 | − | 0.0633778i | ||||
\(431\) | −9.03003 | − | 7.57709i | −0.434961 | − | 0.364976i | 0.398859 | − | 0.917012i | \(-0.369406\pi\) |
−0.833820 | + | 0.552037i | \(0.813851\pi\) | |||||||
\(432\) | −4.35844 | − | 1.58634i | −0.209696 | − | 0.0763229i | ||||
\(433\) | −25.9786 | + | 9.45545i | −1.24845 | + | 0.454400i | −0.879879 | − | 0.475198i | \(-0.842376\pi\) |
−0.368575 | + | 0.929598i | \(0.620154\pi\) | |||||||
\(434\) | 1.43376 | − | 1.20307i | 0.0688228 | − | 0.0577492i | ||||
\(435\) | −5.51754 | − | 31.2915i | −0.264546 | − | 1.50031i | ||||
\(436\) | 11.0642 | 0.529878 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 8.56893 | 0.409439 | ||||||||
\(439\) | 6.50299 | + | 36.8803i | 0.310371 | + | 1.76020i | 0.597078 | + | 0.802183i | \(0.296328\pi\) |
−0.286708 | + | 0.958018i | \(0.592561\pi\) | |||||||
\(440\) | −2.16250 | + | 1.81456i | −0.103093 | + | 0.0865056i | ||||
\(441\) | −9.32295 | + | 3.39328i | −0.443950 | + | 0.161585i | ||||
\(442\) | 2.93077 | + | 1.06671i | 0.139403 | + | 0.0507384i | ||||
\(443\) | 16.0778 | + | 13.4909i | 0.763882 | + | 0.640973i | 0.939134 | − | 0.343551i | \(-0.111630\pi\) |
−0.175252 | + | 0.984524i | \(0.556074\pi\) | |||||||
\(444\) | 4.53209 | − | 7.84981i | 0.215083 | − | 0.372535i | ||||
\(445\) | 10.6459 | + | 18.4392i | 0.504664 | + | 0.874104i | ||||
\(446\) | 0.709141 | − | 4.02174i | 0.0335788 | − | 0.190435i | ||||
\(447\) | 4.68954 | − | 26.5957i | 0.221808 | − | 1.25793i | ||||
\(448\) | −2.53209 | − | 4.38571i | −0.119630 | − | 0.207205i | ||||
\(449\) | 10.9474 | − | 18.9615i | 0.516641 | − | 0.894849i | −0.483172 | − | 0.875525i | \(-0.660515\pi\) |
0.999813 | − | 0.0193235i | \(-0.00615126\pi\) | |||||||
\(450\) | −0.407604 | − | 0.342020i | −0.0192146 | − | 0.0161230i | ||||
\(451\) | −2.03209 | − | 0.739620i | −0.0956873 | − | 0.0348273i | ||||
\(452\) | 12.4966 | − | 4.54839i | 0.587790 | − | 0.213938i | ||||
\(453\) | 30.0009 | − | 25.1738i | 1.40957 | − | 1.18277i | ||||
\(454\) | 2.37211 | + | 13.4529i | 0.111329 | + | 0.631376i | ||||
\(455\) | −13.2216 | −0.619840 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.0496 | −0.610436 | −0.305218 | − | 0.952283i | \(-0.598729\pi\) | ||||
−0.305218 | + | 0.952283i | \(0.598729\pi\) | |||||||
\(458\) | −0.906726 | − | 5.14230i | −0.0423685 | − | 0.240284i | ||||
\(459\) | 8.48886 | − | 7.12300i | 0.396226 | − | 0.332473i | ||||
\(460\) | 5.75877 | − | 2.09602i | 0.268504 | − | 0.0977275i | ||||
\(461\) | −4.14290 | − | 1.50789i | −0.192954 | − | 0.0702296i | 0.243736 | − | 0.969842i | \(-0.421627\pi\) |
−0.436690 | + | 0.899612i | \(0.643849\pi\) | |||||||
\(462\) | 10.2909 | + | 8.63506i | 0.478774 | + | 0.401739i | ||||
\(463\) | −13.3327 | + | 23.0930i | −0.619625 | + | 1.07322i | 0.369929 | + | 0.929060i | \(0.379382\pi\) |
−0.989554 | + | 0.144162i | \(0.953951\pi\) | |||||||
\(464\) | −4.22668 | − | 7.32083i | −0.196219 | − | 0.339861i | ||||
\(465\) | −0.241230 | + | 1.36808i | −0.0111868 | + | 0.0634432i | ||||
\(466\) | −4.69594 | + | 26.6320i | −0.217535 | + | 1.23370i | ||||
\(467\) | −15.0569 | − | 26.0793i | −0.696750 | − | 1.20681i | −0.969587 | − | 0.244747i | \(-0.921295\pi\) |
0.272837 | − | 0.962060i | \(-0.412038\pi\) | |||||||
\(468\) | 0.347296 | − | 0.601535i | 0.0160538 | − | 0.0278060i | ||||
\(469\) | −5.44562 | − | 4.56942i | −0.251455 | − | 0.210996i | ||||
\(470\) | 19.1925 | + | 6.98551i | 0.885286 | + | 0.322218i | ||||
\(471\) | 11.2490 | − | 4.09429i | 0.518325 | − | 0.188655i | ||||
\(472\) | 0.549163 | − | 0.460802i | 0.0252773 | − | 0.0212102i | ||||
\(473\) | 0.185975 | + | 1.05471i | 0.00855112 | + | 0.0484958i | ||||
\(474\) | 4.21213 | 0.193470 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 12.0993 | 0.554569 | ||||||||
\(477\) | 0.154763 | + | 0.877705i | 0.00708611 | + | 0.0401873i | ||||
\(478\) | −0.218941 | + | 0.183713i | −0.0100141 | + | 0.00840284i | ||||
\(479\) | −7.67499 | + | 2.79347i | −0.350679 | + | 0.127637i | −0.511353 | − | 0.859371i | \(-0.670856\pi\) |
0.160674 | + | 0.987008i | \(0.448633\pi\) | |||||||
\(480\) | 3.53209 | + | 1.28558i | 0.161217 | + | 0.0586782i | ||||
\(481\) | −4.82295 | − | 4.04693i | −0.219908 | − | 0.184524i | ||||
\(482\) | −1.55051 | + | 2.68556i | −0.0706237 | + | 0.122324i | ||||
\(483\) | −14.5817 | − | 25.2563i | −0.663491 | − | 1.14920i | ||||
\(484\) | −1.56418 | + | 8.87089i | −0.0710990 | + | 0.403222i | ||||
\(485\) | −0.532089 | + | 3.01763i | −0.0241609 | + | 0.137023i | ||||
\(486\) | −2.73396 | − | 4.73535i | −0.124015 | − | 0.214800i | ||||
\(487\) | −13.2935 | + | 23.0251i | −0.602388 | + | 1.04337i | 0.390070 | + | 0.920785i | \(0.372451\pi\) |
−0.992458 | + | 0.122582i | \(0.960883\pi\) | |||||||
\(488\) | 7.47565 | + | 6.27282i | 0.338407 | + | 0.283957i | ||||
\(489\) | 8.35591 | + | 3.04130i | 0.377868 | + | 0.137533i | ||||
\(490\) | −35.0428 | + | 12.7545i | −1.58307 | + | 0.576192i | ||||
\(491\) | 29.7447 | − | 24.9588i | 1.34236 | − | 1.12637i | 0.361346 | − | 0.932432i | \(-0.382317\pi\) |
0.981013 | − | 0.193941i | \(-0.0621271\pi\) | |||||||
\(492\) | 0.500000 | + | 2.83564i | 0.0225417 | + | 0.127841i | ||||
\(493\) | 20.1967 | 0.909611 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.50206 | −0.0675125 | ||||||||
\(496\) | 0.0641778 | + | 0.363970i | 0.00288167 | + | 0.0163427i | ||||
\(497\) | −24.7101 | + | 20.7342i | −1.10840 | + | 0.930057i | ||||
\(498\) | −7.03849 | + | 2.56180i | −0.315402 | + | 0.114797i | ||||
\(499\) | −19.4128 | − | 7.06569i | −0.869037 | − | 0.316304i | −0.131260 | − | 0.991348i | \(-0.541902\pi\) |
−0.737777 | + | 0.675044i | \(0.764124\pi\) | |||||||
\(500\) | −9.19253 | − | 7.71345i | −0.411103 | − | 0.344956i | ||||
\(501\) | 16.2344 | − | 28.1188i | 0.725301 | − | 1.25626i | ||||
\(502\) | 6.32888 | + | 10.9619i | 0.282472 | + | 0.489255i | ||||
\(503\) | 0.0127932 | − | 0.0725540i | 0.000570422 | − | 0.00323502i | −0.984521 | − | 0.175265i | \(-0.943922\pi\) |
0.985092 | + | 0.172030i | \(0.0550327\pi\) | |||||||
\(504\) | 0.467911 | − | 2.65366i | 0.0208424 | − | 0.118203i | ||||
\(505\) | −8.82295 | − | 15.2818i | −0.392616 | − | 0.680031i | ||||
\(506\) | −2.16250 | + | 3.74557i | −0.0961350 | + | 0.166511i | ||||
\(507\) | 16.2626 | + | 13.6460i | 0.722249 | + | 0.606039i | ||||
\(508\) | 5.36959 | + | 1.95437i | 0.238237 | + | 0.0867111i | ||||
\(509\) | −14.1138 | + | 5.13701i | −0.625584 | + | 0.227694i | −0.635308 | − | 0.772259i | \(-0.719127\pi\) |
0.00972438 | + | 0.999953i | \(0.496905\pi\) | |||||||
\(510\) | −6.87939 | + | 5.77249i | −0.304624 | + | 0.255610i | ||||
\(511\) | −4.00950 | − | 22.7390i | −0.177370 | − | 1.00591i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −30.3928 | −1.34057 | ||||||||
\(515\) | −2.48246 | − | 14.0787i | −0.109390 | − | 0.620383i | ||||
\(516\) | 1.09240 | − | 0.916629i | 0.0480901 | − | 0.0403524i | ||||
\(517\) | −13.5449 | + | 4.92993i | −0.595703 | + | 0.216818i | ||||
\(518\) | −22.9513 | − | 8.35359i | −1.00842 | − | 0.367036i | ||||
\(519\) | −27.0993 | − | 22.7390i | −1.18953 | − | 0.998130i | ||||
\(520\) | 1.30541 | − | 2.26103i | 0.0572459 | − | 0.0991528i | ||||
\(521\) | −22.5856 | − | 39.1194i | −0.989493 | − | 1.71385i | −0.619959 | − | 0.784634i | \(-0.712851\pi\) |
−0.369533 | − | 0.929217i | \(-0.620482\pi\) | |||||||
\(522\) | 0.781059 | − | 4.42961i | 0.0341860 | − | 0.193879i | ||||
\(523\) | 0.0290958 | − | 0.165011i | 0.00127227 | − | 0.00721541i | −0.984165 | − | 0.177255i | \(-0.943278\pi\) |
0.985437 | + | 0.170039i | \(0.0543895\pi\) | |||||||
\(524\) | 4.93969 | + | 8.55580i | 0.215791 | + | 0.373762i | ||||
\(525\) | −4.75877 | + | 8.24243i | −0.207690 | + | 0.359729i | ||||
\(526\) | 16.7784 | + | 14.0787i | 0.731572 | + | 0.613862i | ||||
\(527\) | −0.829755 | − | 0.302006i | −0.0361447 | − | 0.0131556i | ||||
\(528\) | −2.49273 | + | 0.907278i | −0.108482 | + | 0.0394842i | ||||
\(529\) | −10.4265 | + | 8.74886i | −0.453326 | + | 0.380385i | ||||
\(530\) | 0.581719 | + | 3.29909i | 0.0252682 | + | 0.143303i | ||||
\(531\) | 0.381445 | 0.0165533 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.00000 | 0.0866296 | ||||||||
\(534\) | 3.47431 | + | 19.7038i | 0.150348 | + | 0.852666i | ||||
\(535\) | −14.3550 | + | 12.0453i | −0.620622 | + | 0.520764i | ||||
\(536\) | 1.31908 | − | 0.480105i | 0.0569755 | − | 0.0207374i | ||||
\(537\) | −24.4209 | − | 8.88847i | −1.05384 | − | 0.383566i | ||||
\(538\) | −1.09833 | − | 0.921605i | −0.0473522 | − | 0.0397332i | ||||
\(539\) | 13.1591 | − | 22.7922i | 0.566803 | − | 0.981731i | ||||
\(540\) | −4.63816 | − | 8.03352i | −0.199594 | − | 0.345708i | ||||
\(541\) | −0.170245 | + | 0.965505i | −0.00731939 | + | 0.0415103i | −0.988249 | − | 0.152854i | \(-0.951153\pi\) |
0.980929 | + | 0.194365i | \(0.0622645\pi\) | |||||||
\(542\) | 2.80840 | − | 15.9272i | 0.120631 | − | 0.684133i | ||||
\(543\) | 11.5175 | + | 19.9490i | 0.494265 | + | 0.856092i | ||||
\(544\) | −1.19459 | + | 2.06910i | −0.0512177 | + | 0.0887117i | ||||
\(545\) | 16.9513 | + | 14.2238i | 0.726114 | + | 0.609282i | ||||
\(546\) | −11.6750 | − | 4.24935i | −0.499644 | − | 0.181855i | ||||
\(547\) | −26.6917 | + | 9.71497i | −1.14125 | + | 0.415382i | −0.842366 | − | 0.538906i | \(-0.818838\pi\) |
−0.298887 | + | 0.954288i | \(0.596615\pi\) | |||||||
\(548\) | 4.13429 | − | 3.46908i | 0.176608 | − | 0.148192i | ||||
\(549\) | 0.901674 | + | 5.11365i | 0.0384825 | + | 0.218245i | ||||
\(550\) | 1.41147 | 0.0601855 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 5.75877 | 0.245110 | ||||||||
\(553\) | −1.97090 | − | 11.1776i | −0.0838114 | − | 0.475318i | ||||
\(554\) | 8.50980 | − | 7.14057i | 0.361547 | − | 0.303374i | ||||
\(555\) | 17.0351 | − | 6.20026i | 0.723099 | − | 0.263186i | ||||
\(556\) | 2.19846 | + | 0.800175i | 0.0932356 | + | 0.0339350i | ||||
\(557\) | 27.2959 | + | 22.9040i | 1.15656 | + | 0.970473i | 0.999853 | − | 0.0171711i | \(-0.00546600\pi\) |
0.156712 | + | 0.987644i | \(0.449910\pi\) | |||||||
\(558\) | −0.0983261 | + | 0.170306i | −0.00416247 | + | 0.00720962i | ||||
\(559\) | −0.495252 | − | 0.857802i | −0.0209469 | − | 0.0362812i | ||||
\(560\) | 1.75877 | − | 9.97448i | 0.0743216 | − | 0.421499i | ||||
\(561\) | 1.10055 | − | 6.24152i | 0.0464652 | − | 0.263517i | ||||
\(562\) | −2.12449 | − | 3.67972i | −0.0896160 | − | 0.155219i | ||||
\(563\) | −4.31386 | + | 7.47183i | −0.181808 | + | 0.314900i | −0.942496 | − | 0.334217i | \(-0.891528\pi\) |
0.760688 | + | 0.649117i | \(0.224861\pi\) | |||||||
\(564\) | 14.7023 | + | 12.3367i | 0.619080 | + | 0.519470i | ||||
\(565\) | 24.9932 | + | 9.09678i | 1.05147 | + | 0.382704i | ||||
\(566\) | 5.12701 | − | 1.86608i | 0.215504 | − | 0.0784372i | ||||
\(567\) | −40.0087 | + | 33.5713i | −1.68021 | + | 1.40986i | ||||
\(568\) | −1.10607 | − | 6.27282i | −0.0464095 | − | 0.263202i | ||||
\(569\) | 22.3310 | 0.936164 | 0.468082 | − | 0.883685i | \(-0.344945\pi\) | ||||
0.468082 | + | 0.883685i | \(0.344945\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9.56448 | −0.400261 | −0.200131 | − | 0.979769i | \(-0.564137\pi\) | ||||
−0.200131 | + | 0.979769i | \(0.564137\pi\) | |||||||
\(572\) | 0.319955 | + | 1.81456i | 0.0133780 | + | 0.0758704i | ||||
\(573\) | 28.9368 | − | 24.2808i | 1.20885 | − | 1.01435i | ||||
\(574\) | 7.29086 | − | 2.65366i | 0.304315 | − | 0.110761i | ||||
\(575\) | −2.87939 | − | 1.04801i | −0.120079 | − | 0.0437051i | ||||
\(576\) | 0.407604 | + | 0.342020i | 0.0169835 | + | 0.0142508i | ||||
\(577\) | −11.2378 | + | 19.4645i | −0.467837 | + | 0.810317i | −0.999325 | − | 0.0367489i | \(-0.988300\pi\) |
0.531488 | + | 0.847066i | \(0.321633\pi\) | |||||||
\(578\) | 5.64590 | + | 9.77898i | 0.234838 | + | 0.406752i | ||||
\(579\) | −5.44521 | + | 30.8813i | −0.226295 | + | 1.28338i | ||||
\(580\) | 2.93582 | − | 16.6499i | 0.121903 | − | 0.691348i | ||||
\(581\) | 10.0915 | + | 17.4790i | 0.418667 | + | 0.725152i | ||||
\(582\) | −1.43969 | + | 2.49362i | −0.0596772 | + | 0.103364i | ||||
\(583\) | −1.81109 | − | 1.51968i | −0.0750076 | − | 0.0629389i | ||||
\(584\) | 4.28446 | + | 1.55942i | 0.177292 | + | 0.0645291i | ||||
\(585\) | 1.30541 | − | 0.475129i | 0.0539719 | − | 0.0196442i | ||||
\(586\) | 13.6459 | − | 11.4503i | 0.563707 | − | 0.473006i | ||||
\(587\) | 0.720285 | + | 4.08494i | 0.0297293 | + | 0.168603i | 0.996058 | − | 0.0887090i | \(-0.0282741\pi\) |
−0.966328 | + | 0.257313i | \(0.917163\pi\) | |||||||
\(588\) | −35.0428 | −1.44514 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 1.43376 | 0.0590271 | ||||||||
\(591\) | −4.23947 | − | 24.0433i | −0.174389 | − | 0.989007i | ||||
\(592\) | 3.69459 | − | 3.10013i | 0.151847 | − | 0.127415i | ||||
\(593\) | −9.78921 | + | 3.56298i | −0.401995 | + | 0.146314i | −0.535102 | − | 0.844788i | \(-0.679727\pi\) |
0.133107 | + | 0.991102i | \(0.457505\pi\) | |||||||
\(594\) | 6.15183 | + | 2.23908i | 0.252412 | + | 0.0918706i | ||||
\(595\) | 18.5371 | + | 15.5545i | 0.759949 | + | 0.637673i | ||||
\(596\) | 7.18479 | − | 12.4444i | 0.294301 | − | 0.509744i | ||||
\(597\) | 16.1557 | + | 27.9825i | 0.661209 | + | 1.14525i | ||||
\(598\) | 0.694593 | − | 3.93923i | 0.0284040 | − | 0.161087i | ||||
\(599\) | −6.88619 | + | 39.0535i | −0.281362 | + | 1.59568i | 0.436635 | + | 0.899639i | \(0.356170\pi\) |
−0.717997 | + | 0.696046i | \(0.754941\pi\) | |||||||
\(600\) | −0.939693 | − | 1.62760i | −0.0383628 | − | 0.0664463i | ||||
\(601\) | −11.9324 | + | 20.6676i | −0.486734 | + | 0.843047i | −0.999884 | − | 0.0152517i | \(-0.995145\pi\) |
0.513150 | + | 0.858299i | \(0.328478\pi\) | |||||||
\(602\) | −2.94356 | − | 2.46994i | −0.119971 | − | 0.100667i | ||||
\(603\) | 0.701867 | + | 0.255459i | 0.0285822 | + | 0.0104031i | ||||
\(604\) | 19.5817 | − | 7.12716i | 0.796769 | − | 0.290000i | ||||
\(605\) | −13.8007 | + | 11.5801i | −0.561077 | + | 0.470799i | ||||
\(606\) | −2.87939 | − | 16.3298i | −0.116967 | − | 0.663353i | ||||
\(607\) | −29.9317 | −1.21489 | −0.607445 | − | 0.794362i | \(-0.707806\pi\) | ||||
−0.607445 | + | 0.794362i | \(0.707806\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −80.4552 | −3.26021 | ||||||||
\(610\) | 3.38919 | + | 19.2210i | 0.137224 | + | 0.778237i | ||||
\(611\) | 10.2121 | − | 8.56900i | 0.413139 | − | 0.346665i | ||||
\(612\) | −1.19459 | + | 0.434796i | −0.0482885 | + | 0.0175756i | ||||
\(613\) | 33.4320 | + | 12.1683i | 1.35031 | + | 0.491471i | 0.913043 | − | 0.407863i | \(-0.133726\pi\) |
0.437263 | + | 0.899334i | \(0.355948\pi\) | |||||||
\(614\) | −21.9538 | − | 18.4215i | −0.885984 | − | 0.743429i | ||||
\(615\) | −2.87939 | + | 4.98724i | −0.116108 | + | 0.201105i | ||||
\(616\) | 3.57398 | + | 6.19031i | 0.144000 | + | 0.249415i | ||||
\(617\) | 2.08940 | − | 11.8496i | 0.0841162 | − | 0.477047i | −0.913428 | − | 0.407001i | \(-0.866574\pi\) |
0.997544 | − | 0.0700454i | \(-0.0223144\pi\) | |||||||
\(618\) | 2.33275 | − | 13.2297i | 0.0938369 | − | 0.532176i | ||||
\(619\) | 8.55644 | + | 14.8202i | 0.343912 | + | 0.595673i | 0.985156 | − | 0.171664i | \(-0.0549144\pi\) |
−0.641243 | + | 0.767338i | \(0.721581\pi\) | |||||||
\(620\) | −0.369585 | + | 0.640140i | −0.0148429 | + | 0.0257086i | ||||
\(621\) | −10.8871 | − | 9.13538i | −0.436885 | − | 0.366590i | ||||
\(622\) | −14.8598 | − | 5.40852i | −0.595823 | − | 0.216862i | ||||
\(623\) | 50.6614 | − | 18.4392i | 2.02971 | − | 0.738752i | ||||
\(624\) | 1.87939 | − | 1.57699i | 0.0752356 | − | 0.0631302i | ||||
\(625\) | −3.29932 | − | 18.7113i | −0.131973 | − | 0.748454i | ||||
\(626\) | 13.1402 | 0.525189 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.36959 | 0.254174 | ||||||||
\(629\) | 2.00093 | + | 11.3479i | 0.0797824 | + | 0.452469i | ||||
\(630\) | 4.12836 | − | 3.46410i | 0.164478 | − | 0.138013i | ||||
\(631\) | −17.2344 | + | 6.27282i | −0.686092 | + | 0.249717i | −0.661461 | − | 0.749980i | \(-0.730063\pi\) |
−0.0246307 | + | 0.999697i | \(0.507841\pi\) | |||||||
\(632\) | 2.10607 | + | 0.766546i | 0.0837748 | + | 0.0304915i | ||||
\(633\) | 23.1917 | + | 19.4601i | 0.921786 | + | 0.773470i | ||||
\(634\) | 10.7023 | − | 18.5370i | 0.425044 | − | 0.736198i | ||||
\(635\) | 5.71419 | + | 9.89727i | 0.226761 | + | 0.392761i | ||||
\(636\) | −0.546637 | + | 3.10013i | −0.0216756 | + | 0.122928i | ||||
\(637\) | −4.22668 | + | 23.9707i | −0.167467 | + | 0.949754i | ||||
\(638\) | 5.96585 | + | 10.3332i | 0.236190 | + | 0.409094i | ||||
\(639\) | 1.69459 | − | 2.93512i | 0.0670371 | − | 0.116112i | ||||
\(640\) | 1.53209 | + | 1.28558i | 0.0605611 | + | 0.0508168i | ||||
\(641\) | 29.2977 | + | 10.6635i | 1.15719 | + | 0.421183i | 0.848093 | − | 0.529847i | \(-0.177751\pi\) |
0.309098 | + | 0.951030i | \(0.399973\pi\) | |||||||
\(642\) | −16.5471 | + | 6.02265i | −0.653062 | + | 0.237695i | ||||
\(643\) | −24.4748 | + | 20.5368i | −0.965191 | + | 0.809891i | −0.981790 | − | 0.189971i | \(-0.939161\pi\) |
0.0165988 | + | 0.999862i | \(0.494716\pi\) | |||||||
\(644\) | −2.69459 | − | 15.2818i | −0.106182 | − | 0.602187i | ||||
\(645\) | 2.85204 | 0.112299 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.99588 | 0.117780 | 0.0588901 | − | 0.998264i | \(-0.481244\pi\) | ||||
0.0588901 | + | 0.998264i | \(0.481244\pi\) | |||||||
\(648\) | −1.79086 | − | 10.1565i | −0.0703516 | − | 0.398984i | ||||
\(649\) | −0.775129 | + | 0.650411i | −0.0304265 | + | 0.0255309i | ||||
\(650\) | −1.22668 | + | 0.446476i | −0.0481144 | + | 0.0175122i | ||||
\(651\) | 3.30541 | + | 1.20307i | 0.129549 | + | 0.0471520i | ||||
\(652\) | 3.62449 | + | 3.04130i | 0.141946 | + | 0.119107i | ||||
\(653\) | −0.467911 | + | 0.810446i | −0.0183108 | + | 0.0317152i | −0.875036 | − | 0.484059i | \(-0.839162\pi\) |
0.856725 | + | 0.515774i | \(0.172495\pi\) | |||||||
\(654\) | 10.3969 | + | 18.0080i | 0.406552 | + | 0.704169i | ||||
\(655\) | −3.43107 | + | 19.4586i | −0.134063 | + | 0.760310i | ||||
\(656\) | −0.266044 | + | 1.50881i | −0.0103873 | + | 0.0589093i | ||||
\(657\) | 1.21301 | + | 2.10100i | 0.0473241 | + | 0.0819677i | ||||
\(658\) | 25.8580 | − | 44.7874i | 1.00805 | − | 1.74600i | ||||
\(659\) | −9.37417 | − | 7.86586i | −0.365166 | − | 0.306411i | 0.441680 | − | 0.897173i | \(-0.354383\pi\) |
−0.806846 | + | 0.590762i | \(0.798827\pi\) | |||||||
\(660\) | −4.98545 | − | 1.81456i | −0.194058 | − | 0.0706315i | ||||
\(661\) | 11.2344 | − | 4.08900i | 0.436968 | − | 0.159043i | −0.114163 | − | 0.993462i | \(-0.536419\pi\) |
0.551131 | + | 0.834419i | \(0.314196\pi\) | |||||||
\(662\) | −19.4559 | + | 16.3254i | −0.756175 | + | 0.634506i | ||||
\(663\) | 1.01785 | + | 5.77249i | 0.0395299 | + | 0.224185i | ||||
\(664\) | −3.98545 | −0.154666 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.56624 | 0.0994397 | ||||||||
\(667\) | −4.49794 | − | 25.5091i | −0.174161 | − | 0.987716i | ||||
\(668\) | 13.2344 | − | 11.1050i | 0.512055 | − | 0.429665i | ||||
\(669\) | 7.21213 | − | 2.62500i | 0.278837 | − | 0.101488i | ||||
\(670\) | 2.63816 | + | 0.960210i | 0.101921 | + | 0.0370962i | ||||
\(671\) | −10.5517 | − | 8.85392i | −0.407343 | − | 0.341802i | ||||
\(672\) | 4.75877 | − | 8.24243i | 0.183574 | − | 0.317959i | ||||
\(673\) | −22.4317 | − | 38.8529i | −0.864679 | − | 1.49767i | −0.867366 | − | 0.497671i | \(-0.834189\pi\) |
0.00268731 | − | 0.999996i | \(-0.499145\pi\) | |||||||
\(674\) | 4.58037 | − | 25.9766i | 0.176429 | − | 1.00058i | ||||
\(675\) | −0.805407 | + | 4.56769i | −0.0310001 | + | 0.175811i | ||||
\(676\) | 5.64796 | + | 9.78255i | 0.217229 | + | 0.376252i | ||||
\(677\) | −0.472964 | + | 0.819197i | −0.0181775 | + | 0.0314843i | −0.874971 | − | 0.484175i | \(-0.839120\pi\) |
0.856794 | + | 0.515660i | \(0.172453\pi\) | |||||||
\(678\) | 19.1459 | + | 16.0653i | 0.735294 | + | 0.616985i | ||||
\(679\) | 7.29086 | + | 2.65366i | 0.279798 | + | 0.101838i | ||||
\(680\) | −4.49020 | + | 1.63430i | −0.172191 | + | 0.0626725i | ||||
\(681\) | −19.6668 | + | 16.5024i | −0.753635 | + | 0.632375i | ||||
\(682\) | −0.0905853 | − | 0.513735i | −0.00346869 | − | 0.0196719i | ||||
\(683\) | −5.92221 | −0.226607 | −0.113303 | − | 0.993560i | \(-0.536143\pi\) | ||||
−0.113303 | + | 0.993560i | \(0.536143\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10.7939 | 0.412412 | ||||||||
\(686\) | 10.2412 | + | 58.0809i | 0.391012 | + | 2.21754i | ||||
\(687\) | 7.51754 | − | 6.30797i | 0.286812 | − | 0.240664i | ||||
\(688\) | 0.713011 | − | 0.259515i | 0.0271833 | − | 0.00989391i | ||||
\(689\) | 2.05468 | + | 0.747843i | 0.0782772 | + | 0.0284906i | ||||
\(690\) | 8.82295 | + | 7.40333i | 0.335884 | + | 0.281840i | ||||
\(691\) | −0.103074 | + | 0.178529i | −0.00392111 | + | 0.00679156i | −0.867979 | − | 0.496600i | \(-0.834581\pi\) |
0.864058 | + | 0.503392i | \(0.167915\pi\) | |||||||
\(692\) | −9.41147 | − | 16.3012i | −0.357771 | − | 0.619677i | ||||
\(693\) | −0.660444 | + | 3.74557i | −0.0250882 | + | 0.142282i | ||||
\(694\) | −4.45084 | + | 25.2420i | −0.168951 | + | 0.958171i | ||||
\(695\) | 2.33956 | + | 4.05223i | 0.0887444 | + | 0.153710i | ||||
\(696\) | 7.94356 | − | 13.7587i | 0.301100 | − | 0.521520i | ||||
\(697\) | −2.80406 | − | 2.35289i | −0.106211 | − | 0.0891220i | ||||
\(698\) | 5.49020 | + | 1.99827i | 0.207807 | + | 0.0756356i | ||||
\(699\) | −47.7588 | + | 17.3828i | −1.80640 | + | 0.657478i | ||||
\(700\) | −3.87939 | + | 3.25519i | −0.146627 | + | 0.123035i | ||||
\(701\) | 0.758770 | + | 4.30320i | 0.0286584 | + | 0.162530i | 0.995778 | − | 0.0917911i | \(-0.0292592\pi\) |
−0.967120 | + | 0.254321i | \(0.918148\pi\) | |||||||
\(702\) | −6.05468 | −0.228519 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −1.41147 | −0.0531969 | ||||||||
\(705\) | 6.66550 | + | 37.8019i | 0.251037 | + | 1.42370i | ||||
\(706\) | −17.1668 | + | 14.4047i | −0.646083 | + | 0.542128i | ||||
\(707\) | −41.9864 | + | 15.2818i | −1.57906 | + | 0.574731i | ||||
\(708\) | 1.26604 | + | 0.460802i | 0.0475809 | + | 0.0173180i | ||||
\(709\) | 6.70645 | + | 5.62738i | 0.251866 | + | 0.211341i | 0.759975 | − | 0.649952i | \(-0.225211\pi\) |
−0.508109 | + | 0.861293i | \(0.669655\pi\) | |||||||
\(710\) | 6.36959 | − | 11.0324i | 0.239046 | − | 0.414040i | ||||
\(711\) | 0.596267 | + | 1.03276i | 0.0223617 | + | 0.0387317i | ||||
\(712\) | −1.84864 | + | 10.4842i | −0.0692807 | + | 0.392911i | ||||
\(713\) | −0.196652 | + | 1.11527i | −0.00736468 | + | 0.0417672i | ||||
\(714\) | 11.3696 | + | 19.6927i | 0.425496 | + | 0.736981i | ||||
\(715\) | −1.84255 | + | 3.19139i | −0.0689074 | + | 0.119351i | ||||
\(716\) | −10.5929 | − | 8.88847i | −0.395874 | − | 0.332178i | ||||
\(717\) | −0.504748 | − | 0.183713i | −0.0188501 | − | 0.00686089i | ||||
\(718\) | −9.03684 | + | 3.28914i | −0.337252 | + | 0.122750i | ||||
\(719\) | −21.1480 | + | 17.7452i | −0.788686 | + | 0.661786i | −0.945420 | − | 0.325855i | \(-0.894348\pi\) |
0.156734 | + | 0.987641i | \(0.449903\pi\) | |||||||
\(720\) | 0.184793 | + | 1.04801i | 0.00688681 | + | 0.0390570i | ||||
\(721\) | −36.1985 | −1.34810 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −5.82800 | −0.216746 | ||||||||
\(724\) | 2.12836 | + | 12.0705i | 0.0790997 | + | 0.448597i | ||||
\(725\) | −6.47565 | + | 5.43372i | −0.240500 | + | 0.201803i | ||||
\(726\) | −15.9081 | + | 5.79006i | −0.590404 | + | 0.214889i | ||||
\(727\) | −26.9094 | − | 9.79423i | −0.998015 | − | 0.363248i | −0.209196 | − | 0.977874i | \(-0.567085\pi\) |
−0.788819 | + | 0.614626i | \(0.789307\pi\) | |||||||
\(728\) | −5.06418 | − | 4.24935i | −0.187691 | − | 0.157491i | ||||
\(729\) | −10.3316 | + | 17.8948i | −0.382651 | + | 0.662770i | ||||
\(730\) | 4.55943 | + | 7.89716i | 0.168752 | + | 0.292287i | ||||
\(731\) | −0.314797 | + | 1.78530i | −0.0116432 | + | 0.0660318i | ||||
\(732\) | −3.18479 | + | 18.0619i | −0.117713 | + | 0.667585i | ||||
\(733\) | −18.4807 | − | 32.0095i | −0.682600 | − | 1.18230i | −0.974184 | − | 0.225753i | \(-0.927516\pi\) |
0.291584 | − | 0.956545i | \(-0.405818\pi\) | |||||||
\(734\) | −11.6800 | + | 20.2304i | −0.431118 | + | 0.746719i | ||||
\(735\) | −53.6887 | − | 45.0502i | −1.98034 | − | 1.66170i | ||||
\(736\) | 2.87939 | + | 1.04801i | 0.106136 | + | 0.0386302i | ||||
\(737\) | −1.86184 | + | 0.677656i | −0.0685819 | + | 0.0249618i | ||||
\(738\) | −0.624485 | + | 0.524005i | −0.0229876 | + | 0.0192889i | ||||
\(739\) | 7.99242 | + | 45.3273i | 0.294006 | + | 1.66739i | 0.671215 | + | 0.741263i | \(0.265773\pi\) |
−0.377209 | + | 0.926128i | \(0.623116\pi\) | |||||||
\(740\) | 9.64590 | 0.354590 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 8.48246 | 0.311401 | ||||||||
\(743\) | 4.58616 | + | 26.0094i | 0.168250 | + | 0.954193i | 0.945650 | + | 0.325186i | \(0.105427\pi\) |
−0.777400 | + | 0.629007i | \(0.783462\pi\) | |||||||
\(744\) | −0.532089 | + | 0.446476i | −0.0195073 | + | 0.0163686i | ||||
\(745\) | 27.0060 | − | 9.82938i | 0.989423 | − | 0.360120i | ||||
\(746\) | 24.3773 | + | 8.87262i | 0.892517 | + | 0.324850i | ||||
\(747\) | −1.62449 | − | 1.36310i | −0.0594368 | − | 0.0498734i | ||||
\(748\) | 1.68614 | − | 2.92047i | 0.0616513 | − | 0.106783i | ||||
\(749\) | 23.7246 | + | 41.0923i | 0.866879 | + | 1.50148i | ||||
\(750\) | 3.91622 | − | 22.2100i | 0.143000 | − | 0.810994i | ||||
\(751\) | −4.71925 | + | 26.7642i | −0.172208 | + | 0.976638i | 0.769110 | + | 0.639117i | \(0.220700\pi\) |
−0.941318 | + | 0.337522i | \(0.890411\pi\) | |||||||
\(752\) | 5.10607 | + | 8.84397i | 0.186199 | + | 0.322506i | ||||
\(753\) | −11.8944 | + | 20.6017i | −0.433456 | + | 0.750768i | ||||
\(754\) | −8.45336 | − | 7.09321i | −0.307853 | − | 0.258320i | ||||
\(755\) | 39.1634 | + | 14.2543i | 1.42530 | + | 0.518768i | ||||
\(756\) | −22.0719 | + | 8.03352i | −0.802748 | + | 0.292176i | ||||
\(757\) | 14.8648 | − | 12.4731i | 0.540272 | − | 0.453342i | −0.331359 | − | 0.943505i | \(-0.607507\pi\) |
0.871631 | + | 0.490163i | \(0.163063\pi\) | |||||||
\(758\) | 1.64590 | + | 9.33434i | 0.0597817 | + | 0.339039i | ||||
\(759\) | −8.12836 | −0.295041 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 40.2645 | 1.45959 | 0.729793 | − | 0.683669i | \(-0.239617\pi\) | ||||
0.729793 | + | 0.683669i | \(0.239617\pi\) | |||||||
\(762\) | 1.86484 | + | 10.5760i | 0.0675559 | + | 0.383129i | ||||
\(763\) | 42.9222 | − | 36.0160i | 1.55389 | − | 1.30387i | ||||
\(764\) | 18.8871 | − | 6.87435i | 0.683312 | − | 0.248705i | ||||
\(765\) | −2.38919 | − | 0.869592i | −0.0863812 | − | 0.0314402i | ||||
\(766\) | −10.3327 | − | 8.67021i | −0.373337 | − | 0.313267i | ||||
\(767\) | 0.467911 | − | 0.810446i | 0.0168953 | − | 0.0292635i | ||||
\(768\) | 0.939693 | + | 1.62760i | 0.0339082 | + | 0.0587308i | ||||
\(769\) | −6.76217 | + | 38.3502i | −0.243850 | + | 1.38294i | 0.579298 | + | 0.815116i | \(0.303327\pi\) |
−0.823148 | + | 0.567827i | \(0.807784\pi\) | |||||||
\(770\) | −2.48246 | + | 14.0787i | −0.0894616 | + | 0.507362i | ||||
\(771\) | −28.5599 | − | 49.4672i | −1.02856 | − | 1.78152i | ||||
\(772\) | −8.34255 | + | 14.4497i | −0.300255 | + | 0.520057i | ||||
\(773\) | −5.18067 | − | 4.34710i | −0.186336 | − | 0.156354i | 0.544848 | − | 0.838535i | \(-0.316587\pi\) |
−0.731184 | + | 0.682181i | \(0.761032\pi\) | |||||||
\(774\) | 0.379385 | + | 0.138085i | 0.0136367 | + | 0.00496336i | ||||
\(775\) | 0.347296 | − | 0.126406i | 0.0124753 | − | 0.00454062i | ||||
\(776\) | −1.17365 | + | 0.984808i | −0.0421315 | + | 0.0353525i | ||||
\(777\) | −7.97090 | − | 45.2052i | −0.285955 | − | 1.62173i | ||||
\(778\) | −25.1480 | −0.901598 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 4.90673 | 0.175689 | ||||||||
\(781\) | 1.56118 | + | 8.85392i | 0.0558636 | + | 0.316818i | ||||
\(782\) | −5.60813 | + | 4.70578i | −0.200546 | + | 0.168278i | ||||
\(783\) | −36.8435 | + | 13.4099i | −1.31668 | + | 0.479232i | ||||
\(784\) | −17.5214 | − | 6.37727i | −0.625765 | − | 0.227760i | ||||
\(785\) | 9.75877 | + | 8.18858i | 0.348305 | + | 0.292263i | ||||
\(786\) | −9.28359 | + | 16.0796i | −0.331135 | + | 0.573542i | ||||
\(787\) | −2.90239 | − | 5.02709i | −0.103459 | − | 0.179196i | 0.809649 | − | 0.586915i | \(-0.199658\pi\) |
−0.913108 | + | 0.407719i | \(0.866324\pi\) | |||||||
\(788\) | 2.25578 | − | 12.7931i | 0.0803587 | − | 0.455737i | ||||
\(789\) | −7.14796 | + | 40.5381i | −0.254474 | + | 1.44319i | ||||
\(790\) | 2.24123 | + | 3.88192i | 0.0797394 | + | 0.138113i | ||||
\(791\) | 33.6732 | − | 58.3238i | 1.19728 | − | 2.07375i | ||||
\(792\) | −0.575322 | − | 0.482753i | −0.0204432 | − | 0.0171539i | ||||
\(793\) | 11.9709 | + | 4.35705i | 0.425099 | + | 0.154723i | ||||
\(794\) | −6.17024 | + | 2.24579i | −0.218974 | + | 0.0796999i | ||||
\(795\) | −4.82295 | + | 4.04693i | −0.171052 | + | 0.143530i | ||||
\(796\) | 2.98545 | + | 16.9313i | 0.105817 | + | 0.600115i | ||||
\(797\) | −39.2181 | −1.38918 | −0.694589 | − | 0.719407i | \(-0.744414\pi\) | ||||
−0.694589 | + | 0.719407i | \(0.744414\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −24.3987 | −0.863163 | ||||||||
\(800\) | −0.173648 | − | 0.984808i | −0.00613939 | − | 0.0348182i | ||||
\(801\) | −4.33931 | + | 3.64111i | −0.153322 | + | 0.128652i | ||||
\(802\) | 27.7310 | − | 10.0933i | 0.979216 | − | 0.356406i | ||||
\(803\) | −6.04741 | − | 2.20108i | −0.213408 | − | 0.0776743i | ||||
\(804\) | 2.02094 | + | 1.69577i | 0.0712732 | + | 0.0598053i | ||||
\(805\) | 15.5175 | − | 26.8772i | 0.546921 | − | 0.947296i | ||||
\(806\) | 0.241230 | + | 0.417822i | 0.00849695 | + | 0.0147171i | ||||
\(807\) | 0.467911 | − | 2.65366i | 0.0164713 | − | 0.0934131i | ||||
\(808\) | 1.53209 | − | 8.68891i | 0.0538987 | − | 0.305675i | ||||
\(809\) | −3.50134 | − | 6.06451i | −0.123101 | − | 0.213217i | 0.797888 | − | 0.602805i | \(-0.205950\pi\) |
−0.920989 | + | 0.389589i | \(0.872617\pi\) | |||||||
\(810\) | 10.3131 | − | 17.8629i | 0.362367 | − | 0.627638i | ||||
\(811\) | 33.4647 | + | 28.0802i | 1.17511 | + | 0.986031i | 0.999999 | + | 0.00148108i | \(0.000471441\pi\) |
0.175107 | + | 0.984549i | \(0.443973\pi\) | |||||||
\(812\) | −40.2276 | − | 14.6417i | −1.41171 | − | 0.513821i | ||||
\(813\) | 28.5621 | − | 10.3958i | 1.00172 | − | 0.364595i | ||||
\(814\) | −5.21482 | + | 4.37576i | −0.182779 | + | 0.153370i | ||||
\(815\) | 1.64321 | + | 9.31910i | 0.0575591 | + | 0.326434i | ||||
\(816\) | −4.49020 | −0.157188 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 21.1310 | 0.738830 | ||||||||
\(819\) | −0.610815 | − | 3.46410i | −0.0213436 | − | 0.121046i | ||||
\(820\) | −2.34730 | + | 1.96962i | −0.0819711 | + | 0.0687820i | ||||
\(821\) | −11.6382 | + | 4.23594i | −0.406174 | + | 0.147835i | −0.537024 | − | 0.843567i | \(-0.680452\pi\) |
0.130850 | + | 0.991402i | \(0.458229\pi\) | |||||||
\(822\) | 9.53121 | + | 3.46908i | 0.332439 | + | 0.120998i | ||||
\(823\) | −9.82707 | − | 8.24589i | −0.342550 | − | 0.287434i | 0.455240 | − | 0.890369i | \(-0.349553\pi\) |
−0.797790 | + | 0.602935i | \(0.793998\pi\) | |||||||
\(824\) | 3.57398 | − | 6.19031i | 0.124505 | − | 0.215650i | ||||
\(825\) | 1.32635 | + | 2.29731i | 0.0461776 | + | 0.0799820i | ||||
\(826\) | 0.630415 | − | 3.57526i | 0.0219349 | − | 0.124399i | ||||
\(827\) | 4.35797 | − | 24.7153i | 0.151542 | − | 0.859435i | −0.810338 | − | 0.585962i | \(-0.800717\pi\) |
0.961880 | − | 0.273473i | \(-0.0881723\pi\) | |||||||
\(828\) | 0.815207 | + | 1.41198i | 0.0283304 | + | 0.0490697i | ||||
\(829\) | −14.1634 | + | 24.5318i | −0.491917 | + | 0.852024i | −0.999957 | − | 0.00930899i | \(-0.997037\pi\) |
0.508040 | + | 0.861333i | \(0.330370\pi\) | |||||||
\(830\) | −6.10607 | − | 5.12360i | −0.211945 | − | 0.177843i | ||||
\(831\) | 19.6186 | + | 7.14057i | 0.680560 | + | 0.247704i | ||||
\(832\) | 1.22668 | − | 0.446476i | 0.0425275 | − | 0.0154788i | ||||
\(833\) | 34.1261 | − | 28.6352i | 1.18240 | − | 0.992152i | ||||
\(834\) | 0.763518 | + | 4.33013i | 0.0264385 | + | 0.149940i | ||||
\(835\) | 34.5526 | 1.19574 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.71419 | 0.0592512 | ||||||||
\(838\) | −4.84183 | − | 27.4594i | −0.167258 | − | 0.948569i | ||||
\(839\) | −23.2344 | + | 19.4960i | −0.802141 | + | 0.673077i | −0.948718 | − | 0.316123i | \(-0.897619\pi\) |
0.146577 | + | 0.989199i | \(0.453174\pi\) | |||||||
\(840\) | 17.8871 | − | 6.51038i | 0.617164 | − | 0.224630i | ||||
\(841\) | −39.8987 | − | 14.5220i | −1.37582 | − | 0.500757i | ||||
\(842\) | −0.0341483 | − | 0.0286538i | −0.00117683 | − | 0.000987475i | ||||
\(843\) | 3.99273 | − | 6.91560i | 0.137517 | − | 0.238186i | ||||
\(844\) | 8.05438 | + | 13.9506i | 0.277243 | + | 0.480199i | ||||
\(845\) | −3.92303 | + | 22.2486i | −0.134956 | + | 0.765375i | ||||
\(846\) | −0.943563 | + | 5.35121i | −0.0324404 | + | 0.183978i | ||||
\(847\) | 22.8084 | + | 39.5053i | 0.783706 | + | 1.35742i | ||||
\(848\) | −0.837496 | + | 1.45059i | −0.0287597 | + | 0.0498133i | ||||
\(849\) | 7.85504 | + | 6.59116i | 0.269584 | + | 0.226208i | ||||
\(850\) | 2.24510 | + | 0.817150i | 0.0770063 | + | 0.0280280i | ||||
\(851\) | 13.8871 | − | 5.05450i | 0.476045 | − | 0.173266i | ||||
\(852\) | 9.17024 | − | 7.69475i | 0.314167 | − | 0.263618i | ||||
\(853\) | −7.57667 | − | 42.9694i | −0.259420 | − | 1.47124i | −0.784467 | − | 0.620171i | \(-0.787063\pi\) |
0.525047 | − | 0.851074i | \(-0.324048\pi\) | |||||||
\(854\) | 49.4201 | 1.69112 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.36959 | −0.320246 | ||||||||
\(857\) | −5.47162 | − | 31.0311i | −0.186907 | − | 1.06000i | −0.923481 | − | 0.383645i | \(-0.874669\pi\) |
0.736574 | − | 0.676357i | \(-0.236442\pi\) | |||||||
\(858\) | −2.65270 | + | 2.22588i | −0.0905618 | + | 0.0759904i | ||||
\(859\) | 17.5703 | − | 6.39506i | 0.599490 | − | 0.218196i | −0.0244084 | − | 0.999702i | \(-0.507770\pi\) |
0.623898 | + | 0.781506i | \(0.285548\pi\) | |||||||
\(860\) | 1.42602 | + | 0.519030i | 0.0486269 | + | 0.0176988i | ||||
\(861\) | 11.1702 | + | 9.37295i | 0.380681 | + | 0.319429i | ||||
\(862\) | 5.89393 | − | 10.2086i | 0.200748 | − | 0.347706i | ||||
\(863\) | −5.31315 | − | 9.20264i | −0.180862 | − | 0.313262i | 0.761313 | − | 0.648385i | \(-0.224555\pi\) |
−0.942174 | + | 0.335123i | \(0.891222\pi\) | |||||||
\(864\) | 0.805407 | − | 4.56769i | 0.0274005 | − | 0.155396i | ||||
\(865\) | 6.53714 | − | 37.0740i | 0.222269 | − | 1.26055i | ||||
\(866\) | −13.8229 | − | 23.9420i | −0.469723 | − | 0.813584i | ||||
\(867\) | −10.6108 | + | 18.3785i | −0.360362 | + | 0.624166i | ||||
\(868\) | 1.43376 | + | 1.20307i | 0.0486651 | + | 0.0408349i | ||||
\(869\) | −2.97266 | − | 1.08196i | −0.100841 | − | 0.0367030i | ||||
\(870\) | 29.8580 | − | 10.8674i | 1.01228 | − | 0.368441i | ||||
\(871\) | 1.40373 | − | 1.17787i | 0.0475637 | − | 0.0399107i | ||||
\(872\) | 1.92127 | + | 10.8961i | 0.0650626 | + | 0.368988i | ||||
\(873\) | −0.815207 | −0.0275906 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −60.7701 | −2.05441 | ||||||||
\(876\) | 1.48798 | + | 8.43874i | 0.0502741 | + | 0.285119i | ||||
\(877\) | 34.3942 | − | 28.8602i | 1.16141 | − | 0.974539i | 0.161487 | − | 0.986875i | \(-0.448371\pi\) |
0.999924 | + | 0.0123354i | \(0.00392658\pi\) | |||||||
\(878\) | −35.1908 | + | 12.8084i | −1.18763 | + | 0.432262i | ||||
\(879\) | 31.4593 | + | 11.4503i | 1.06110 | + | 0.386208i | ||||
\(880\) | −2.16250 | − | 1.81456i | −0.0728980 | − | 0.0611687i | ||||
\(881\) | 9.00821 | − | 15.6027i | 0.303494 | − | 0.525667i | −0.673431 | − | 0.739250i | \(-0.735180\pi\) |
0.976925 | + | 0.213583i | \(0.0685134\pi\) | |||||||
\(882\) | −4.96064 | − | 8.59208i | −0.167033 | − | 0.289310i | ||||
\(883\) | −8.09168 | + | 45.8902i | −0.272307 | + | 1.54433i | 0.475082 | + | 0.879941i | \(0.342418\pi\) |
−0.747389 | + | 0.664387i | \(0.768693\pi\) | |||||||
\(884\) | −0.541584 | + | 3.07148i | −0.0182155 | + | 0.103305i | ||||
\(885\) | 1.34730 | + | 2.33359i | 0.0452889 | + | 0.0784426i | ||||
\(886\) | −10.4941 | + | 18.1763i | −0.352555 | + | 0.610643i | ||||
\(887\) | 5.42333 | + | 4.55072i | 0.182098 | + | 0.152798i | 0.729280 | − | 0.684215i | \(-0.239855\pi\) |
−0.547182 | + | 0.837013i | \(0.684300\pi\) | |||||||
\(888\) | 8.51754 | + | 3.10013i | 0.285830 | + | 0.104034i | ||||
\(889\) | 27.1925 | − | 9.89727i | 0.912008 | − | 0.331944i | ||||
\(890\) | −16.3105 | + | 13.6861i | −0.546728 | + | 0.458759i | ||||
\(891\) | 2.52775 | + | 14.3356i | 0.0846829 | + | 0.480260i | ||||
\(892\) | 4.08378 | 0.136735 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 27.0060 | 0.903215 | ||||||||
\(895\) | −4.80241 | − | 27.2358i | −0.160527 | − | 0.910394i | ||||
\(896\) | 3.87939 | − | 3.25519i | 0.129601 | − | 0.108748i | ||||
\(897\) | 7.06418 | − | 2.57115i | 0.235866 | − | 0.0858482i | ||||
\(898\) | 20.5744 | + | 7.48849i | 0.686578 | + | 0.249894i | ||||
\(899\) | 2.39330 | + | 2.00822i | 0.0798212 | + | 0.0669779i | ||||
\(900\) | 0.266044 | − | 0.460802i | 0.00886815 | − | 0.0153601i | ||||
\(901\) | −2.00093 | − | 3.46572i | −0.0666608 | − | 0.115460i | ||||
\(902\) | 0.375515 | − | 2.12965i | 0.0125033 | − | 0.0709096i | ||||
\(903\) | 1.25402 | − | 7.11192i | 0.0417313 | − | 0.236670i | ||||
\(904\) | 6.64930 | + | 11.5169i | 0.221152 | + | 0.383047i | ||||
\(905\) | −12.2567 | + | 21.2292i | −0.407427 | + | 0.705684i | ||||
\(906\) | 30.0009 | + | 25.1738i | 0.996714 | + | 0.836343i | ||||
\(907\) | −14.2040 | − | 5.16983i | −0.471635 | − | 0.171661i | 0.0952576 | − | 0.995453i | \(-0.469633\pi\) |
−0.566893 | + | 0.823791i | \(0.691855\pi\) | |||||||
\(908\) | −12.8366 | + | 4.67215i | −0.425998 | + | 0.155051i | ||||
\(909\) | 3.59627 | − | 3.01763i | 0.119281 | − | 0.100088i | ||||
\(910\) | −2.29591 | − | 13.0208i | −0.0761087 | − | 0.431634i | ||||
\(911\) | −12.8366 | −0.425294 | −0.212647 | − | 0.977129i | \(-0.568208\pi\) | ||||
−0.212647 | + | 0.977129i | \(0.568208\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.62536 | 0.186172 | ||||||||
\(914\) | −2.26604 | − | 12.8514i | −0.0749541 | − | 0.425086i | ||||
\(915\) | −28.0993 | + | 23.5781i | −0.928933 | + | 0.779467i | ||||
\(916\) | 4.90673 | − | 1.78590i | 0.162123 | − | 0.0590079i | ||||
\(917\) | 47.0137 | + | 17.1116i | 1.55253 | + | 0.565075i | ||||
\(918\) | 8.48886 | + | 7.12300i | 0.280174 | + | 0.235094i | ||||
\(919\) | 10.3396 | − | 17.9086i | 0.341070 | − | 0.590751i | −0.643561 | − | 0.765395i | \(-0.722544\pi\) |
0.984632 | + | 0.174643i | \(0.0558772\pi\) | |||||||
\(920\) | 3.06418 | + | 5.30731i | 0.101023 | + | 0.174977i | ||||
\(921\) | 9.35282 | − | 53.0425i | 0.308186 | − | 1.74781i | ||||
\(922\) | 0.765578 | − | 4.34181i | 0.0252130 | − | 0.142990i | ||||
\(923\) | −4.15745 | − | 7.20092i | −0.136844 | − | 0.237021i | ||||
\(924\) | −6.71688 | + | 11.6340i | −0.220969 | + | 0.382730i | ||||
\(925\) | −3.69459 | − | 3.10013i | −0.121477 | − | 0.101932i | ||||
\(926\) | −25.0574 | − | 9.12014i | −0.823436 | − | 0.299706i | ||||
\(927\) | 3.57398 | − | 1.30082i | 0.117385 | − | 0.0427246i | ||||
\(928\) | 6.47565 | − | 5.43372i | 0.212574 | − | 0.178371i | ||||
\(929\) | −3.16906 | − | 17.9726i | −0.103974 | − | 0.589663i | −0.991625 | − | 0.129148i | \(-0.958776\pi\) |
0.887652 | − | 0.460515i | \(-0.152335\pi\) | |||||||
\(930\) | −1.38919 | −0.0455532 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −27.0428 | −0.885817 | ||||||||
\(933\) | −5.16075 | − | 29.2681i | −0.168955 | − | 0.958193i | ||||
\(934\) | 23.0685 | − | 19.3568i | 0.754825 | − | 0.633373i | ||||
\(935\) | 6.33780 | − | 2.30677i | 0.207268 | − | 0.0754395i | ||||
\(936\) | 0.652704 | + | 0.237565i | 0.0213343 | + | 0.00776505i | ||||
\(937\) | −3.63634 | − | 3.05126i | −0.118794 | − | 0.0996802i | 0.581455 | − | 0.813578i | \(-0.302483\pi\) |
−0.700250 | + | 0.713898i | \(0.746928\pi\) | |||||||
\(938\) | 3.55438 | − | 6.15636i | 0.116055 | − | 0.201012i | ||||
\(939\) | 12.3478 | + | 21.3870i | 0.402954 | + | 0.697937i | ||||
\(940\) | −3.54664 | + | 20.1140i | −0.115679 | + | 0.656046i | ||||
\(941\) | 8.16519 | − | 46.3071i | 0.266178 | − | 1.50957i | −0.499483 | − | 0.866324i | \(-0.666477\pi\) |
0.765661 | − | 0.643245i | \(-0.222412\pi\) | |||||||
\(942\) | 5.98545 | + | 10.3671i | 0.195017 | + | 0.337779i | ||||
\(943\) | −2.34730 | + | 4.06564i | −0.0764385 | + | 0.132395i | ||||
\(944\) | 0.549163 | + | 0.460802i | 0.0178737 | + | 0.0149978i | ||||
\(945\) | −44.1438 | − | 16.0670i | −1.43600 | − | 0.522661i | ||||
\(946\) | −1.00640 | + | 0.366298i | −0.0327208 | + | 0.0119094i | ||||
\(947\) | 28.3405 | − | 23.7805i | 0.920942 | − | 0.772762i | −0.0532268 | − | 0.998582i | \(-0.516951\pi\) |
0.974169 | + | 0.225820i | \(0.0725062\pi\) | |||||||
\(948\) | 0.731429 | + | 4.14814i | 0.0237557 | + | 0.134725i | ||||
\(949\) | 5.95191 | 0.193207 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 40.2276 | 1.30447 | ||||||||
\(952\) | 2.10101 | + | 11.9154i | 0.0680943 | + | 0.386182i | ||||
\(953\) | −28.8870 | + | 24.2390i | −0.935741 | + | 0.785180i | −0.976839 | − | 0.213976i | \(-0.931359\pi\) |
0.0410985 | + | 0.999155i | \(0.486914\pi\) | |||||||
\(954\) | −0.837496 | + | 0.304824i | −0.0271149 | + | 0.00986903i | ||||
\(955\) | 37.7743 | + | 13.7487i | 1.22235 | + | 0.444898i | ||||
\(956\) | −0.218941 | − | 0.183713i | −0.00708105 | − | 0.00594171i | ||||
\(957\) | −11.2121 | + | 19.4200i | −0.362437 | + | 0.627759i | ||||
\(958\) | −4.08378 | − | 7.07331i | −0.131941 | − | 0.228528i | ||||
\(959\) | 4.74598 | − | 26.9158i | 0.153256 | − | 0.869156i | ||||
\(960\) | −0.652704 | + | 3.70167i | −0.0210659 | + | 0.119471i | ||||
\(961\) | 15.4317 | + | 26.7285i | 0.497797 | + | 0.862209i | ||||
\(962\) | 3.14796 | − | 5.45242i | 0.101494 | − | 0.175793i | ||||
\(963\) | −3.81908 | − | 3.20459i | −0.123068 | − | 0.103266i | ||||
\(964\) | −2.91400 | − | 1.06061i | −0.0938536 | − | 0.0341599i | ||||
\(965\) | −31.3577 | + | 11.4133i | −1.00944 | + | 0.367406i | ||||
\(966\) | 22.3405 | − | 18.7459i | 0.718793 | − | 0.603139i | ||||
\(967\) | 7.03508 | + | 39.8979i | 0.226233 | + | 1.28303i | 0.860314 | + | 0.509764i | \(0.170267\pi\) |
−0.634081 | + | 0.773267i | \(0.718621\pi\) | |||||||
\(968\) | −9.00774 | −0.289520 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.06418 | −0.0983848 | ||||||||
\(971\) | −2.44460 | − | 13.8640i | −0.0784510 | − | 0.444918i | −0.998579 | − | 0.0532991i | \(-0.983026\pi\) |
0.920128 | − | 0.391619i | \(-0.128085\pi\) | |||||||
\(972\) | 4.18866 | − | 3.51471i | 0.134351 | − | 0.112734i | ||||
\(973\) | 11.1334 | − | 4.05223i | 0.356921 | − | 0.129909i | ||||
\(974\) | −24.9837 | − | 9.09332i | −0.800529 | − | 0.291369i | ||||
\(975\) | −1.87939 | − | 1.57699i | −0.0601885 | − | 0.0505041i | ||||
\(976\) | −4.87939 | + | 8.45134i | −0.156185 | + | 0.270521i | ||||
\(977\) | 17.6028 | + | 30.4890i | 0.563164 | + | 0.975429i | 0.997218 | + | 0.0745421i | \(0.0237495\pi\) |
−0.434054 | + | 0.900887i | \(0.642917\pi\) | |||||||
\(978\) | −1.54411 | + | 8.75709i | −0.0493752 | + | 0.280021i | ||||
\(979\) | 2.60931 | − | 14.7981i | 0.0833939 | − | 0.472950i | ||||
\(980\) | −18.6459 | − | 32.2956i | −0.595621 | − | 1.03165i | ||||
\(981\) | −2.94356 | + | 5.09840i | −0.0939807 | + | 0.162779i | ||||
\(982\) | 29.7447 | + | 24.9588i | 0.949191 | + | 0.796466i | ||||
\(983\) | −21.0865 | − | 7.67485i | −0.672554 | − | 0.244790i | −0.0169068 | − | 0.999857i | \(-0.505382\pi\) |
−0.655647 | + | 0.755067i | \(0.727604\pi\) | |||||||
\(984\) | −2.70574 | + | 0.984808i | −0.0862557 | + | 0.0313945i | ||||
\(985\) | 19.9026 | − | 16.7003i | 0.634150 | − | 0.532115i | ||||
\(986\) | 3.50711 | + | 19.8898i | 0.111689 | + | 0.633421i | ||||
\(987\) | 97.1944 | 3.09373 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.32501 | 0.0739309 | ||||||||
\(990\) | −0.260830 | − | 1.47924i | −0.00828972 | − | 0.0470133i | ||||
\(991\) | 20.7624 | − | 17.4217i | 0.659539 | − | 0.553419i | −0.250410 | − | 0.968140i | \(-0.580565\pi\) |
0.909949 | + | 0.414721i | \(0.136121\pi\) | |||||||
\(992\) | −0.347296 | + | 0.126406i | −0.0110267 | + | 0.00401338i | ||||
\(993\) | −44.8537 | − | 16.3254i | −1.42339 | − | 0.518072i | ||||
\(994\) | −24.7101 | − | 20.7342i | −0.783756 | − | 0.657649i | ||||
\(995\) | −17.1925 | + | 29.7783i | −0.545040 | + | 0.944037i | ||||
\(996\) | −3.74510 | − | 6.48670i | −0.118668 | − | 0.205539i | ||||
\(997\) | 4.85298 | − | 27.5226i | 0.153695 | − | 0.871650i | −0.806274 | − | 0.591543i | \(-0.798519\pi\) |
0.959969 | − | 0.280107i | \(-0.0903699\pi\) | |||||||
\(998\) | 3.58734 | − | 20.3448i | 0.113555 | − | 0.644005i | ||||
\(999\) | −11.1848 | − | 19.3726i | −0.353871 | − | 0.612923i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))