Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [693,2,Mod(100,693)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(693, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("693.100");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 693 = 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 693.i (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.53363286007\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{4} + 2x^{2} + 4 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 231) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 298.1 | ||
Root | \(-0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 693.298 |
Dual form | 693.2.i.f.100.1 |
$q$-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 \(\left(\mathbb{Z}/693\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20711 | − | 2.09077i | −0.853553 | − | 1.47840i | −0.877981 | − | 0.478696i | \(-0.841110\pi\) |
0.0244272 | − | 0.999702i | \(-0.492224\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.91421 | + | 3.31552i | −0.957107 | + | 1.65776i | ||||
\(5\) | −1.00000 | − | 1.73205i | −0.447214 | − | 0.774597i | 0.550990 | − | 0.834512i | \(-0.314250\pi\) |
−0.998203 | + | 0.0599153i | \(0.980917\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.00000 | − | 2.44949i | 0.377964 | − | 0.925820i | ||||
\(8\) | 4.41421 | 1.56066 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.41421 | + | 4.18154i | −0.763441 | + | 1.32232i | ||||
\(11\) | 0.500000 | − | 0.866025i | 0.150756 | − | 0.261116i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.828427 | −0.229764 | −0.114882 | − | 0.993379i | \(-0.536649\pi\) | ||||
−0.114882 | + | 0.993379i | \(0.536649\pi\) | |||||||
\(14\) | −6.32843 | + | 0.866025i | −1.69134 | + | 0.231455i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.50000 | − | 2.59808i | −0.375000 | − | 0.649519i | ||||
\(17\) | −2.20711 | + | 3.82282i | −0.535302 | + | 0.927170i | 0.463847 | + | 0.885916i | \(0.346469\pi\) |
−0.999149 | + | 0.0412548i | \(0.986864\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.62132 | − | 6.27231i | −0.830788 | − | 1.43897i | −0.897414 | − | 0.441189i | \(-0.854557\pi\) |
0.0666264 | − | 0.997778i | \(-0.478776\pi\) | |||||||
\(20\) | 7.65685 | 1.71212 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.41421 | −0.514712 | ||||||||
\(23\) | −3.50000 | − | 6.06218i | −0.729800 | − | 1.26405i | −0.956967 | − | 0.290196i | \(-0.906280\pi\) |
0.227167 | − | 0.973856i | \(-0.427054\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | 1.00000 | + | 1.73205i | 0.196116 | + | 0.339683i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 6.20711 | + | 8.00436i | 1.17303 | + | 1.51268i | ||||
\(29\) | −3.24264 | −0.602143 | −0.301072 | − | 0.953602i | \(-0.597344\pi\) | ||||
−0.301072 | + | 0.953602i | \(0.597344\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.82843 | + | 4.89898i | −0.508001 | + | 0.879883i | 0.491957 | + | 0.870620i | \(0.336282\pi\) |
−0.999957 | + | 0.00926296i | \(0.997051\pi\) | |||||||
\(32\) | 0.792893 | − | 1.37333i | 0.140165 | − | 0.242773i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 10.6569 | 1.82764 | ||||||||
\(35\) | −5.24264 | + | 0.717439i | −0.886168 | + | 0.121269i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.74264 | + | 8.21449i | 0.779685 | + | 1.35045i | 0.932123 | + | 0.362142i | \(0.117954\pi\) |
−0.152438 | + | 0.988313i | \(0.548712\pi\) | |||||||
\(38\) | −8.74264 | + | 15.1427i | −1.41824 | + | 2.45647i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −4.41421 | − | 7.64564i | −0.697948 | − | 1.20888i | ||||
\(41\) | 1.17157 | 0.182969 | 0.0914845 | − | 0.995807i | \(-0.470839\pi\) | ||||
0.0914845 | + | 0.995807i | \(0.470839\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.75736 | −0.420493 | −0.210247 | − | 0.977648i | \(-0.567427\pi\) | ||||
−0.210247 | + | 0.977648i | \(0.567427\pi\) | |||||||
\(44\) | 1.91421 | + | 3.31552i | 0.288579 | + | 0.499833i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −8.44975 | + | 14.6354i | −1.24585 | + | 2.15787i | ||||
\(47\) | 4.91421 | + | 8.51167i | 0.716812 | + | 1.24155i | 0.962257 | + | 0.272144i | \(0.0877326\pi\) |
−0.245445 | + | 0.969411i | \(0.578934\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.00000 | − | 4.89898i | −0.714286 | − | 0.699854i | ||||
\(50\) | −2.41421 | −0.341421 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.58579 | − | 2.74666i | 0.219909 | − | 0.380894i | ||||
\(53\) | −3.58579 | + | 6.21076i | −0.492546 | + | 0.853114i | −0.999963 | − | 0.00858626i | \(-0.997267\pi\) |
0.507417 | + | 0.861700i | \(0.330600\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.00000 | −0.269680 | ||||||||
\(56\) | 4.41421 | − | 10.8126i | 0.589874 | − | 1.44489i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.91421 | + | 6.77962i | 0.513961 | + | 0.890207i | ||||
\(59\) | −4.32843 | + | 7.49706i | −0.563513 | + | 0.976034i | 0.433673 | + | 0.901070i | \(0.357217\pi\) |
−0.997186 | + | 0.0749632i | \(0.976116\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.00000 | + | 3.46410i | 0.256074 | + | 0.443533i | 0.965187 | − | 0.261562i | \(-0.0842377\pi\) |
−0.709113 | + | 0.705095i | \(0.750904\pi\) | |||||||
\(62\) | 13.6569 | 1.73442 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −9.82843 | −1.22855 | ||||||||
\(65\) | 0.828427 | + | 1.43488i | 0.102754 | + | 0.177975i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.58579 | − | 2.74666i | 0.193735 | − | 0.335558i | −0.752750 | − | 0.658306i | \(-0.771273\pi\) |
0.946485 | + | 0.322748i | \(0.104607\pi\) | |||||||
\(68\) | −8.44975 | − | 14.6354i | −1.02468 | − | 1.77480i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 7.82843 | + | 10.0951i | 0.935676 | + | 1.20660i | ||||
\(71\) | 4.17157 | 0.495075 | 0.247537 | − | 0.968878i | \(-0.420379\pi\) | ||||
0.247537 | + | 0.968878i | \(0.420379\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.171573 | + | 0.297173i | −0.0200811 | + | 0.0347815i | −0.875891 | − | 0.482508i | \(-0.839726\pi\) |
0.855810 | + | 0.517290i | \(0.173059\pi\) | |||||||
\(74\) | 11.4497 | − | 19.8315i | 1.33101 | − | 2.30537i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 27.7279 | 3.18061 | ||||||||
\(77\) | −1.62132 | − | 2.09077i | −0.184767 | − | 0.238265i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.65685 | − | 11.5300i | −0.748955 | − | 1.29723i | −0.948324 | − | 0.317303i | \(-0.897223\pi\) |
0.199370 | − | 0.979924i | \(-0.436111\pi\) | |||||||
\(80\) | −3.00000 | + | 5.19615i | −0.335410 | + | 0.580948i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.41421 | − | 2.44949i | −0.156174 | − | 0.270501i | ||||
\(83\) | 2.82843 | 0.310460 | 0.155230 | − | 0.987878i | \(-0.450388\pi\) | ||||
0.155230 | + | 0.987878i | \(0.450388\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.82843 | 0.957577 | ||||||||
\(86\) | 3.32843 | + | 5.76500i | 0.358914 | + | 0.621656i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.20711 | − | 3.82282i | 0.235278 | − | 0.407514i | ||||
\(89\) | −7.07107 | − | 12.2474i | −0.749532 | − | 1.29823i | −0.948047 | − | 0.318129i | \(-0.896945\pi\) |
0.198516 | − | 0.980098i | \(-0.436388\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.828427 | + | 2.02922i | −0.0868428 | + | 0.212720i | ||||
\(92\) | 26.7990 | 2.79399 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 11.8640 | − | 20.5490i | 1.22367 | − | 2.11947i | ||||
\(95\) | −7.24264 | + | 12.5446i | −0.743079 | + | 1.28705i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −11.4853 | −1.16615 | −0.583077 | − | 0.812417i | \(-0.698151\pi\) | ||||
−0.583077 | + | 0.812417i | \(0.698151\pi\) | |||||||
\(98\) | −4.20711 | + | 16.3674i | −0.424982 | + | 1.65336i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.91421 | + | 3.31552i | 0.191421 | + | 0.331552i | ||||
\(101\) | 2.44975 | − | 4.24309i | 0.243759 | − | 0.422203i | −0.718023 | − | 0.696019i | \(-0.754953\pi\) |
0.961782 | + | 0.273816i | \(0.0882861\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.24264 | − | 10.8126i | −0.615106 | − | 1.06539i | −0.990366 | − | 0.138475i | \(-0.955780\pi\) |
0.375260 | − | 0.926919i | \(-0.377553\pi\) | |||||||
\(104\) | −3.65685 | −0.358584 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 17.3137 | 1.68166 | ||||||||
\(107\) | 4.82843 | + | 8.36308i | 0.466782 | + | 0.808490i | 0.999280 | − | 0.0379415i | \(-0.0120801\pi\) |
−0.532498 | + | 0.846431i | \(0.678747\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.41421 | − | 5.91359i | 0.327022 | − | 0.566419i | −0.654897 | − | 0.755718i | \(-0.727288\pi\) |
0.981920 | + | 0.189299i | \(0.0606214\pi\) | |||||||
\(110\) | 2.41421 | + | 4.18154i | 0.230186 | + | 0.398694i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −7.86396 | + | 1.07616i | −0.743074 | + | 0.101687i | ||||
\(113\) | 7.65685 | 0.720296 | 0.360148 | − | 0.932895i | \(-0.382726\pi\) | ||||
0.360148 | + | 0.932895i | \(0.382726\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.00000 | + | 12.1244i | −0.652753 | + | 1.13060i | ||||
\(116\) | 6.20711 | − | 10.7510i | 0.576315 | − | 0.998208i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 20.8995 | 1.92395 | ||||||||
\(119\) | 7.15685 | + | 9.22911i | 0.656068 | + | 0.846031i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.500000 | − | 0.866025i | −0.0454545 | − | 0.0787296i | ||||
\(122\) | 4.82843 | − | 8.36308i | 0.437145 | − | 0.757158i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −10.8284 | − | 18.7554i | −0.972421 | − | 1.68428i | ||||
\(125\) | −12.0000 | −1.07331 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.0711 | −1.42608 | −0.713038 | − | 0.701125i | \(-0.752681\pi\) | ||||
−0.713038 | + | 0.701125i | \(0.752681\pi\) | |||||||
\(128\) | 10.2782 | + | 17.8023i | 0.908471 | + | 1.57352i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.00000 | − | 3.46410i | 0.175412 | − | 0.303822i | ||||
\(131\) | −2.58579 | − | 4.47871i | −0.225921 | − | 0.391307i | 0.730674 | − | 0.682726i | \(-0.239206\pi\) |
−0.956595 | + | 0.291419i | \(0.905873\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −18.9853 | + | 2.59808i | −1.64623 | + | 0.225282i | ||||
\(134\) | −7.65685 | −0.661451 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −9.74264 | + | 16.8747i | −0.835425 | + | 1.44700i | ||||
\(137\) | 0.242641 | − | 0.420266i | 0.0207302 | − | 0.0359057i | −0.855474 | − | 0.517845i | \(-0.826734\pi\) |
0.876204 | + | 0.481940i | \(0.160068\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.41421 | 0.713684 | 0.356842 | − | 0.934165i | \(-0.383853\pi\) | ||||
0.356842 | + | 0.934165i | \(0.383853\pi\) | |||||||
\(140\) | 7.65685 | − | 18.7554i | 0.647122 | − | 1.58512i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.03553 | − | 8.72180i | −0.422573 | − | 0.731917i | ||||
\(143\) | −0.414214 | + | 0.717439i | −0.0346383 | + | 0.0599953i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.24264 | + | 5.61642i | 0.269287 | + | 0.466418i | ||||
\(146\) | 0.828427 | 0.0685611 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −36.3137 | −2.98497 | ||||||||
\(149\) | −11.1066 | − | 19.2372i | −0.909888 | − | 1.57597i | −0.814218 | − | 0.580560i | \(-0.802834\pi\) |
−0.0956705 | − | 0.995413i | \(-0.530500\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.44975 | − | 16.3674i | 0.769010 | − | 1.33196i | −0.169091 | − | 0.985600i | \(-0.554083\pi\) |
0.938101 | − | 0.346363i | \(-0.112583\pi\) | |||||||
\(152\) | −15.9853 | − | 27.6873i | −1.29658 | − | 2.24574i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.41421 | + | 5.91359i | −0.194543 | + | 0.476531i | ||||
\(155\) | 11.3137 | 0.908739 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.50000 | + | 6.06218i | −0.279330 | + | 0.483814i | −0.971219 | − | 0.238190i | \(-0.923446\pi\) |
0.691888 | + | 0.722005i | \(0.256779\pi\) | |||||||
\(158\) | −16.0711 | + | 27.8359i | −1.27855 | + | 2.21451i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.17157 | −0.250735 | ||||||||
\(161\) | −18.3492 | + | 2.51104i | −1.44612 | + | 0.197897i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 10.4853 | + | 18.1610i | 0.821271 | + | 1.42248i | 0.904736 | + | 0.425972i | \(0.140068\pi\) |
−0.0834658 | + | 0.996511i | \(0.526599\pi\) | |||||||
\(164\) | −2.24264 | + | 3.88437i | −0.175121 | + | 0.303318i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.41421 | − | 5.91359i | −0.264994 | − | 0.458984i | ||||
\(167\) | −5.17157 | −0.400188 | −0.200094 | − | 0.979777i | \(-0.564125\pi\) | ||||
−0.200094 | + | 0.979777i | \(0.564125\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.3137 | −0.947208 | ||||||||
\(170\) | −10.6569 | − | 18.4582i | −0.817343 | − | 1.41568i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.27817 | − | 9.14207i | 0.402457 | − | 0.697076i | ||||
\(173\) | −7.41421 | − | 12.8418i | −0.563692 | − | 0.976344i | −0.997170 | − | 0.0751793i | \(-0.976047\pi\) |
0.433478 | − | 0.901164i | \(-0.357286\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.62132 | − | 2.09077i | −0.122560 | − | 0.158047i | ||||
\(176\) | −3.00000 | −0.226134 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −17.0711 | + | 29.5680i | −1.27953 | + | 2.21621i | ||||
\(179\) | 8.91421 | − | 15.4399i | 0.666280 | − | 1.15403i | −0.312657 | − | 0.949866i | \(-0.601219\pi\) |
0.978937 | − | 0.204164i | \(-0.0654476\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.6569 | −0.866447 | −0.433224 | − | 0.901286i | \(-0.642624\pi\) | ||||
−0.433224 | + | 0.901286i | \(0.642624\pi\) | |||||||
\(182\) | 5.24264 | − | 0.717439i | 0.388610 | − | 0.0531801i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −15.4497 | − | 26.7597i | −1.13897 | − | 1.97275i | ||||
\(185\) | 9.48528 | − | 16.4290i | 0.697372 | − | 1.20788i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.20711 | + | 3.82282i | 0.161400 | + | 0.279552i | ||||
\(188\) | −37.6274 | −2.74426 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 34.9706 | 2.53703 | ||||||||
\(191\) | −10.8284 | − | 18.7554i | −0.783517 | − | 1.35709i | −0.929881 | − | 0.367861i | \(-0.880090\pi\) |
0.146363 | − | 0.989231i | \(-0.453243\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.07107 | − | 10.5154i | 0.437005 | − | 0.756915i | −0.560452 | − | 0.828187i | \(-0.689373\pi\) |
0.997457 | + | 0.0712721i | \(0.0227059\pi\) | |||||||
\(194\) | 13.8640 | + | 24.0131i | 0.995374 | + | 1.72404i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 25.8137 | − | 7.19988i | 1.84384 | − | 0.514277i | ||||
\(197\) | 16.4142 | 1.16946 | 0.584732 | − | 0.811226i | \(-0.301200\pi\) | ||||
0.584732 | + | 0.811226i | \(0.301200\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.89949 | − | 17.1464i | 0.701757 | − | 1.21548i | −0.266093 | − | 0.963947i | \(-0.585733\pi\) |
0.967849 | − | 0.251531i | \(-0.0809339\pi\) | |||||||
\(200\) | 2.20711 | − | 3.82282i | 0.156066 | − | 0.270314i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −11.8284 | −0.832245 | ||||||||
\(203\) | −3.24264 | + | 7.94282i | −0.227589 | + | 0.557476i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.17157 | − | 2.02922i | −0.0818262 | − | 0.141727i | ||||
\(206\) | −15.0711 | + | 26.1039i | −1.05005 | + | 1.81874i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.24264 | + | 2.15232i | 0.0861616 | + | 0.149236i | ||||
\(209\) | −7.24264 | −0.500984 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 14.9706 | 1.03062 | 0.515308 | − | 0.857005i | \(-0.327678\pi\) | ||||
0.515308 | + | 0.857005i | \(0.327678\pi\) | |||||||
\(212\) | −13.7279 | − | 23.7775i | −0.942838 | − | 1.63304i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 11.6569 | − | 20.1903i | 0.796846 | − | 1.38018i | ||||
\(215\) | 2.75736 | + | 4.77589i | 0.188050 | + | 0.325713i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.17157 | + | 11.8272i | 0.622607 | + | 0.802881i | ||||
\(218\) | −16.4853 | −1.11652 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.82843 | − | 6.63103i | 0.258113 | − | 0.447064i | ||||
\(221\) | 1.82843 | − | 3.16693i | 0.122993 | − | 0.213031i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −22.9706 | −1.53822 | −0.769111 | − | 0.639115i | \(-0.779301\pi\) | ||||
−0.769111 | + | 0.639115i | \(0.779301\pi\) | |||||||
\(224\) | −2.57107 | − | 3.31552i | −0.171787 | − | 0.221527i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −9.24264 | − | 16.0087i | −0.614811 | − | 1.06488i | ||||
\(227\) | 7.48528 | − | 12.9649i | 0.496816 | − | 0.860510i | −0.503178 | − | 0.864183i | \(-0.667836\pi\) |
0.999993 | + | 0.00367316i | \(0.00116921\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.82843 | + | 13.5592i | 0.517317 | + | 0.896019i | 0.999798 | + | 0.0201128i | \(0.00640252\pi\) |
−0.482481 | + | 0.875907i | \(0.660264\pi\) | |||||||
\(230\) | 33.7990 | 2.22864 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −14.3137 | −0.939741 | ||||||||
\(233\) | 5.20711 | + | 9.01897i | 0.341129 | + | 0.590853i | 0.984643 | − | 0.174582i | \(-0.0558574\pi\) |
−0.643514 | + | 0.765435i | \(0.722524\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 9.82843 | − | 17.0233i | 0.641136 | − | 1.11048i | ||||
\(236\) | −16.5711 | − | 28.7019i | −1.07868 | − | 1.86834i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 10.6569 | − | 26.1039i | 0.690781 | − | 1.69206i | ||||
\(239\) | 6.48528 | 0.419498 | 0.209749 | − | 0.977755i | \(-0.432735\pi\) | ||||
0.209749 | + | 0.977755i | \(0.432735\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.65685 | + | 6.33386i | −0.235559 | + | 0.408000i | −0.959435 | − | 0.281930i | \(-0.909025\pi\) |
0.723876 | + | 0.689930i | \(0.242359\pi\) | |||||||
\(242\) | −1.20711 | + | 2.09077i | −0.0775958 | + | 0.134400i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −15.3137 | −0.980360 | ||||||||
\(245\) | −3.48528 | + | 13.5592i | −0.222666 | + | 0.866268i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.00000 | + | 5.19615i | 0.190885 | + | 0.330623i | ||||
\(248\) | −12.4853 | + | 21.6251i | −0.792816 | + | 1.37320i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 14.4853 | + | 25.0892i | 0.916130 | + | 1.58678i | ||||
\(251\) | 2.51472 | 0.158728 | 0.0793638 | − | 0.996846i | \(-0.474711\pi\) | ||||
0.0793638 | + | 0.996846i | \(0.474711\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.00000 | −0.440086 | ||||||||
\(254\) | 19.3995 | + | 33.6009i | 1.21723 | + | 2.10831i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.9853 | − | 25.9553i | 0.936580 | − | 1.62220i | ||||
\(257\) | 10.7279 | + | 18.5813i | 0.669189 | + | 1.15907i | 0.978131 | + | 0.207989i | \(0.0666918\pi\) |
−0.308942 | + | 0.951081i | \(0.599975\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 24.8640 | − | 3.40256i | 1.54497 | − | 0.211424i | ||||
\(260\) | −6.34315 | −0.393385 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −6.24264 | + | 10.8126i | −0.385672 | + | 0.668003i | ||||
\(263\) | 9.00000 | − | 15.5885i | 0.554964 | − | 0.961225i | −0.442943 | − | 0.896550i | \(-0.646065\pi\) |
0.997906 | − | 0.0646755i | \(-0.0206012\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 14.3431 | 0.881092 | ||||||||
\(266\) | 28.3492 | + | 36.5577i | 1.73820 | + | 2.24150i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6.07107 | + | 10.5154i | 0.370849 | + | 0.642330i | ||||
\(269\) | −13.8995 | + | 24.0746i | −0.847467 | + | 1.46786i | 0.0359941 | + | 0.999352i | \(0.488540\pi\) |
−0.883461 | + | 0.468504i | \(0.844793\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.4853 | + | 19.8931i | 0.697681 | + | 1.20842i | 0.969268 | + | 0.246005i | \(0.0791181\pi\) |
−0.271587 | + | 0.962414i | \(0.587549\pi\) | |||||||
\(272\) | 13.2426 | 0.802953 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.17157 | −0.0707773 | ||||||||
\(275\) | −0.500000 | − | 0.866025i | −0.0301511 | − | 0.0522233i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.8284 | − | 22.2195i | 0.770785 | − | 1.33504i | −0.166348 | − | 0.986067i | \(-0.553197\pi\) |
0.937133 | − | 0.348972i | \(-0.113469\pi\) | |||||||
\(278\) | −10.1569 | − | 17.5922i | −0.609168 | − | 1.05511i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −23.1421 | + | 3.16693i | −1.38301 | + | 0.189260i | ||||
\(281\) | −14.4142 | −0.859880 | −0.429940 | − | 0.902857i | \(-0.641465\pi\) | ||||
−0.429940 | + | 0.902857i | \(0.641465\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.1716 | + | 17.6177i | −0.604637 | + | 1.04726i | 0.387471 | + | 0.921882i | \(0.373349\pi\) |
−0.992109 | + | 0.125381i | \(0.959985\pi\) | |||||||
\(284\) | −7.98528 | + | 13.8309i | −0.473839 | + | 0.820714i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.00000 | 0.118262 | ||||||||
\(287\) | 1.17157 | − | 2.86976i | 0.0691558 | − | 0.169396i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.24264 | − | 2.15232i | −0.0730965 | − | 0.126607i | ||||
\(290\) | 7.82843 | − | 13.5592i | 0.459701 | − | 0.796226i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.656854 | − | 1.13770i | −0.0384395 | − | 0.0665791i | ||||
\(293\) | −5.72792 | −0.334629 | −0.167314 | − | 0.985904i | \(-0.553509\pi\) | ||||
−0.167314 | + | 0.985904i | \(0.553509\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 17.3137 | 1.00804 | ||||||||
\(296\) | 20.9350 | + | 36.2605i | 1.21682 | + | 2.10760i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −26.8137 | + | 46.4427i | −1.55328 | + | 2.69035i | ||||
\(299\) | 2.89949 | + | 5.02207i | 0.167682 | + | 0.290434i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.75736 | + | 6.75412i | −0.158932 | + | 0.389301i | ||||
\(302\) | −45.6274 | −2.62556 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −10.8640 | + | 18.8169i | −0.623091 | + | 1.07923i | ||||
\(305\) | 4.00000 | − | 6.92820i | 0.229039 | − | 0.396708i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −17.3137 | −0.988146 | −0.494073 | − | 0.869421i | \(-0.664492\pi\) | ||||
−0.494073 | + | 0.869421i | \(0.664492\pi\) | |||||||
\(308\) | 10.0355 | − | 1.37333i | 0.571828 | − | 0.0782528i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −13.6569 | − | 23.6544i | −0.775657 | − | 1.34348i | ||||
\(311\) | 14.8137 | − | 25.6581i | 0.840008 | − | 1.45494i | −0.0498782 | − | 0.998755i | \(-0.515883\pi\) |
0.889887 | − | 0.456182i | \(-0.150783\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.39949 | − | 4.15605i | −0.135627 | − | 0.234914i | 0.790210 | − | 0.612837i | \(-0.209972\pi\) |
−0.925837 | + | 0.377923i | \(0.876638\pi\) | |||||||
\(314\) | 16.8995 | 0.953694 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 50.9706 | 2.86732 | ||||||||
\(317\) | −12.6569 | − | 21.9223i | −0.710880 | − | 1.23128i | −0.964527 | − | 0.263983i | \(-0.914964\pi\) |
0.253648 | − | 0.967297i | \(-0.418370\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.62132 | + | 2.80821i | −0.0907765 | + | 0.157230i | ||||
\(320\) | 9.82843 | + | 17.0233i | 0.549426 | + | 0.951633i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 27.3995 | + | 35.3330i | 1.52691 | + | 1.96903i | ||||
\(323\) | 31.9706 | 1.77889 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.414214 | + | 0.717439i | −0.0229764 | + | 0.0397964i | ||||
\(326\) | 25.3137 | − | 43.8446i | 1.40200 | − | 2.42833i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.17157 | 0.285552 | ||||||||
\(329\) | 25.7635 | − | 3.52565i | 1.42039 | − | 0.194375i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −11.2426 | − | 19.4728i | −0.617951 | − | 1.07032i | −0.989859 | − | 0.142053i | \(-0.954629\pi\) |
0.371908 | − | 0.928270i | \(-0.378704\pi\) | |||||||
\(332\) | −5.41421 | + | 9.37769i | −0.297144 | + | 0.514668i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 6.24264 | + | 10.8126i | 0.341582 | + | 0.591638i | ||||
\(335\) | −6.34315 | −0.346563 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.85786 | 0.210151 | 0.105076 | − | 0.994464i | \(-0.466492\pi\) | ||||
0.105076 | + | 0.994464i | \(0.466492\pi\) | |||||||
\(338\) | 14.8640 | + | 25.7451i | 0.808493 | + | 1.40035i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −16.8995 | + | 29.2708i | −0.916504 | + | 1.58743i | ||||
\(341\) | 2.82843 | + | 4.89898i | 0.153168 | + | 0.265295i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.0000 | + | 7.34847i | −0.917914 | + | 0.396780i | ||||
\(344\) | −12.1716 | −0.656247 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −17.8995 | + | 31.0028i | −0.962283 | + | 1.66672i | ||||
\(347\) | 7.48528 | − | 12.9649i | 0.401831 | − | 0.695992i | −0.592116 | − | 0.805853i | \(-0.701707\pi\) |
0.993947 | + | 0.109861i | \(0.0350406\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.9706 | 0.587241 | 0.293620 | − | 0.955922i | \(-0.405140\pi\) | ||||
0.293620 | + | 0.955922i | \(0.405140\pi\) | |||||||
\(350\) | −2.41421 | + | 5.91359i | −0.129045 | + | 0.316095i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.792893 | − | 1.37333i | −0.0422614 | − | 0.0731988i | ||||
\(353\) | 6.65685 | − | 11.5300i | 0.354309 | − | 0.613680i | −0.632691 | − | 0.774405i | \(-0.718050\pi\) |
0.986999 | + | 0.160724i | \(0.0513829\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.17157 | − | 7.22538i | −0.221404 | − | 0.383483i | ||||
\(356\) | 54.1421 | 2.86953 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −43.0416 | −2.27482 | ||||||||
\(359\) | −4.00000 | − | 6.92820i | −0.211112 | − | 0.365657i | 0.740951 | − | 0.671559i | \(-0.234375\pi\) |
−0.952063 | + | 0.305903i | \(0.901042\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −16.7279 | + | 28.9736i | −0.880417 | + | 1.52493i | ||||
\(362\) | 14.0711 | + | 24.3718i | 0.739559 | + | 1.28095i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −5.14214 | − | 6.63103i | −0.269521 | − | 0.347560i | ||||
\(365\) | 0.686292 | 0.0359221 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.07107 | − | 3.58719i | 0.108109 | − | 0.187250i | −0.806895 | − | 0.590695i | \(-0.798854\pi\) |
0.915004 | + | 0.403445i | \(0.132187\pi\) | |||||||
\(368\) | −10.5000 | + | 18.1865i | −0.547350 | + | 0.948039i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −45.7990 | −2.38098 | ||||||||
\(371\) | 11.6274 | + | 14.9941i | 0.603665 | + | 0.778455i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.828427 | + | 1.43488i | 0.0428943 | + | 0.0742952i | 0.886675 | − | 0.462392i | \(-0.153009\pi\) |
−0.843781 | + | 0.536687i | \(0.819675\pi\) | |||||||
\(374\) | 5.32843 | − | 9.22911i | 0.275526 | − | 0.477226i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 21.6924 | + | 37.5723i | 1.11870 | + | 1.93764i | ||||
\(377\) | 2.68629 | 0.138351 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.8284 | 0.967151 | 0.483576 | − | 0.875303i | \(-0.339338\pi\) | ||||
0.483576 | + | 0.875303i | \(0.339338\pi\) | |||||||
\(380\) | −27.7279 | − | 48.0262i | −1.42241 | − | 2.46369i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −26.1421 | + | 45.2795i | −1.33755 | + | 2.31670i | ||||
\(383\) | 1.15685 | + | 2.00373i | 0.0591125 | + | 0.102386i | 0.894067 | − | 0.447933i | \(-0.147840\pi\) |
−0.834955 | + | 0.550319i | \(0.814506\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.00000 | + | 4.89898i | −0.101929 | + | 0.249675i | ||||
\(386\) | −29.3137 | −1.49203 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 21.9853 | − | 38.0796i | 1.11613 | − | 1.93320i | ||||
\(389\) | −5.89949 | + | 10.2182i | −0.299116 | + | 0.518085i | −0.975934 | − | 0.218066i | \(-0.930025\pi\) |
0.676818 | + | 0.736151i | \(0.263359\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 30.8995 | 1.56265 | ||||||||
\(392\) | −22.0711 | − | 21.6251i | −1.11476 | − | 1.09223i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −19.8137 | − | 34.3183i | −0.998200 | − | 1.72893i | ||||
\(395\) | −13.3137 | + | 23.0600i | −0.669885 | + | 1.16028i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.74264 | − | 15.1427i | −0.438781 | − | 0.759990i | 0.558815 | − | 0.829292i | \(-0.311256\pi\) |
−0.997596 | + | 0.0693020i | \(0.977923\pi\) | |||||||
\(398\) | −47.7990 | −2.39595 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.00000 | −0.150000 | ||||||||
\(401\) | 3.75736 | + | 6.50794i | 0.187634 | + | 0.324991i | 0.944461 | − | 0.328624i | \(-0.106585\pi\) |
−0.756827 | + | 0.653615i | \(0.773252\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.34315 | − | 4.05845i | 0.116720 | − | 0.202166i | ||||
\(404\) | 9.37868 | + | 16.2443i | 0.466607 | + | 0.808187i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 20.5208 | − | 2.80821i | 1.01843 | − | 0.139369i | ||||
\(407\) | 9.48528 | 0.470168 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.89949 | − | 6.75412i | 0.192818 | − | 0.333970i | −0.753365 | − | 0.657602i | \(-0.771571\pi\) |
0.946183 | + | 0.323632i | \(0.104904\pi\) | |||||||
\(410\) | −2.82843 | + | 4.89898i | −0.139686 | + | 0.241943i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 47.7990 | 2.35489 | ||||||||
\(413\) | 14.0355 | + | 18.0995i | 0.690643 | + | 0.890618i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.82843 | − | 4.89898i | −0.138842 | − | 0.240481i | ||||
\(416\) | −0.656854 | + | 1.13770i | −0.0322049 | + | 0.0557806i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 8.74264 | + | 15.1427i | 0.427617 | + | 0.740654i | ||||
\(419\) | −14.7990 | −0.722978 | −0.361489 | − | 0.932376i | \(-0.617731\pi\) | ||||
−0.361489 | + | 0.932376i | \(0.617731\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.00000 | −0.341159 | −0.170580 | − | 0.985344i | \(-0.554564\pi\) | ||||
−0.170580 | + | 0.985344i | \(0.554564\pi\) | |||||||
\(422\) | −18.0711 | − | 31.3000i | −0.879686 | − | 1.52366i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −15.8284 | + | 27.4156i | −0.768696 | + | 1.33142i | ||||
\(425\) | 2.20711 | + | 3.82282i | 0.107060 | + | 0.185434i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 10.4853 | − | 1.43488i | 0.507418 | − | 0.0694386i | ||||
\(428\) | −36.9706 | −1.78704 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 6.65685 | − | 11.5300i | 0.321022 | − | 0.556026i | ||||
\(431\) | 3.48528 | − | 6.03668i | 0.167880 | − | 0.290777i | −0.769794 | − | 0.638292i | \(-0.779641\pi\) |
0.937674 | + | 0.347515i | \(0.112975\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.857864 | 0.0412263 | 0.0206132 | − | 0.999788i | \(-0.493438\pi\) | ||||
0.0206132 | + | 0.999788i | \(0.493438\pi\) | |||||||
\(434\) | 13.6569 | − | 33.4523i | 0.655550 | − | 1.60576i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 13.0711 | + | 22.6398i | 0.625991 | + | 1.08425i | ||||
\(437\) | −25.3492 | + | 43.9062i | −1.21262 | + | 2.10032i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −15.4497 | − | 26.7597i | −0.737376 | − | 1.27717i | −0.953673 | − | 0.300845i | \(-0.902731\pi\) |
0.216297 | − | 0.976328i | \(-0.430602\pi\) | |||||||
\(440\) | −8.82843 | −0.420879 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −8.82843 | −0.419925 | ||||||||
\(443\) | 16.8137 | + | 29.1222i | 0.798843 | + | 1.38364i | 0.920370 | + | 0.391049i | \(0.127888\pi\) |
−0.121526 | + | 0.992588i | \(0.538779\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −14.1421 | + | 24.4949i | −0.670402 | + | 1.16117i | ||||
\(446\) | 27.7279 | + | 48.0262i | 1.31296 | + | 2.27411i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −9.82843 | + | 24.0746i | −0.464350 | + | 1.13742i | ||||
\(449\) | 4.00000 | 0.188772 | 0.0943858 | − | 0.995536i | \(-0.469911\pi\) | ||||
0.0943858 | + | 0.995536i | \(0.469911\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.585786 | − | 1.01461i | 0.0275836 | − | 0.0477762i | ||||
\(452\) | −14.6569 | + | 25.3864i | −0.689400 | + | 1.19408i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −36.1421 | −1.69623 | ||||||||
\(455\) | 4.34315 | − | 0.594346i | 0.203610 | − | 0.0278634i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −9.41421 | − | 16.3059i | −0.440378 | − | 0.762758i | 0.557339 | − | 0.830285i | \(-0.311822\pi\) |
−0.997717 | + | 0.0675273i | \(0.978489\pi\) | |||||||
\(458\) | 18.8995 | − | 32.7349i | 0.883115 | − | 1.52960i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −26.7990 | − | 46.4172i | −1.24951 | − | 2.16421i | ||||
\(461\) | −6.75736 | −0.314722 | −0.157361 | − | 0.987541i | \(-0.550299\pi\) | ||||
−0.157361 | + | 0.987541i | \(0.550299\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 18.6274 | 0.865689 | 0.432845 | − | 0.901468i | \(-0.357510\pi\) | ||||
0.432845 | + | 0.901468i | \(0.357510\pi\) | |||||||
\(464\) | 4.86396 | + | 8.42463i | 0.225804 | + | 0.391104i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 12.5711 | − | 21.7737i | 0.582343 | − | 1.00865i | ||||
\(467\) | −4.15685 | − | 7.19988i | −0.192356 | − | 0.333171i | 0.753674 | − | 0.657248i | \(-0.228280\pi\) |
−0.946031 | + | 0.324077i | \(0.894946\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.14214 | − | 6.63103i | −0.237442 | − | 0.306193i | ||||
\(470\) | −47.4558 | −2.18897 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −19.1066 | + | 33.0936i | −0.879453 | + | 1.52326i | ||||
\(473\) | −1.37868 | + | 2.38794i | −0.0633918 | + | 0.109798i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −7.24264 | −0.332315 | ||||||||
\(476\) | −44.2990 | + | 6.06218i | −2.03044 | + | 0.277859i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −7.82843 | − | 13.5592i | −0.358064 | − | 0.620185i | ||||
\(479\) | 7.00000 | − | 12.1244i | 0.319838 | − | 0.553976i | −0.660616 | − | 0.750724i | \(-0.729705\pi\) |
0.980454 | + | 0.196748i | \(0.0630381\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.92893 | − | 6.80511i | −0.179144 | − | 0.310286i | ||||
\(482\) | 17.6569 | 0.804248 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.82843 | 0.174019 | ||||||||
\(485\) | 11.4853 | + | 19.8931i | 0.521520 | + | 0.903299i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 16.3137 | − | 28.2562i | 0.739245 | − | 1.28041i | −0.213591 | − | 0.976923i | \(-0.568516\pi\) |
0.952836 | − | 0.303486i | \(-0.0981506\pi\) | |||||||
\(488\) | 8.82843 | + | 15.2913i | 0.399644 | + | 0.692204i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 32.5563 | − | 9.08052i | 1.47075 | − | 0.410216i | ||||
\(491\) | 1.51472 | 0.0683583 | 0.0341791 | − | 0.999416i | \(-0.489118\pi\) | ||||
0.0341791 | + | 0.999416i | \(0.489118\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.15685 | − | 12.3960i | 0.322329 | − | 0.558289i | ||||
\(494\) | 7.24264 | − | 12.5446i | 0.325862 | − | 0.564409i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 16.9706 | 0.762001 | ||||||||
\(497\) | 4.17157 | − | 10.2182i | 0.187121 | − | 0.458350i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 15.8995 | + | 27.5387i | 0.711759 | + | 1.23280i | 0.964196 | + | 0.265190i | \(0.0854346\pi\) |
−0.252437 | + | 0.967613i | \(0.581232\pi\) | |||||||
\(500\) | 22.9706 | − | 39.7862i | 1.02727 | − | 1.77929i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −3.03553 | − | 5.25770i | −0.135483 | − | 0.234663i | ||||
\(503\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −9.79899 | −0.436049 | ||||||||
\(506\) | 8.44975 | + | 14.6354i | 0.375637 | + | 0.650623i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 30.7635 | − | 53.2839i | 1.36491 | − | 2.36409i | ||||
\(509\) | −6.00000 | − | 10.3923i | −0.265945 | − | 0.460631i | 0.701866 | − | 0.712309i | \(-0.252351\pi\) |
−0.967811 | + | 0.251679i | \(0.919017\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.556349 | + | 0.717439i | 0.0246114 | + | 0.0317376i | ||||
\(512\) | −31.2426 | −1.38074 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 25.8995 | − | 44.8592i | 1.14238 | − | 1.97866i | ||||
\(515\) | −12.4853 | + | 21.6251i | −0.550167 | + | 0.952918i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.82843 | 0.432254 | ||||||||
\(518\) | −37.1274 | − | 47.8776i | −1.63129 | − | 2.10362i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.65685 | + | 6.33386i | 0.160364 | + | 0.277758i | ||||
\(521\) | 15.5858 | − | 26.9954i | 0.682826 | − | 1.18269i | −0.291289 | − | 0.956635i | \(-0.594084\pi\) |
0.974115 | − | 0.226054i | \(-0.0725825\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.1421 | + | 19.2987i | 0.487212 | + | 0.843875i | 0.999892 | − | 0.0147044i | \(-0.00468072\pi\) |
−0.512680 | + | 0.858580i | \(0.671347\pi\) | |||||||
\(524\) | 19.7990 | 0.864923 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −43.4558 | −1.89476 | ||||||||
\(527\) | −12.4853 | − | 21.6251i | −0.543867 | − | 0.942006i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.0000 | + | 22.5167i | −0.565217 | + | 0.978985i | ||||
\(530\) | −17.3137 | − | 29.9882i | −0.752059 | − | 1.30261i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 27.7279 | − | 67.9193i | 1.20216 | − | 2.94467i | ||||
\(533\) | −0.970563 | −0.0420397 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 9.65685 | − | 16.7262i | 0.417502 | − | 0.723135i | ||||
\(536\) | 7.00000 | − | 12.1244i | 0.302354 | − | 0.523692i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 67.1127 | 2.89343 | ||||||||
\(539\) | −6.74264 | + | 1.88064i | −0.290426 | + | 0.0810048i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −9.82843 | − | 17.0233i | −0.422557 | − | 0.731890i | 0.573632 | − | 0.819113i | \(-0.305534\pi\) |
−0.996189 | + | 0.0872230i | \(0.972201\pi\) | |||||||
\(542\) | 27.7279 | − | 48.0262i | 1.19102 | − | 2.06290i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.50000 | + | 6.06218i | 0.150061 | + | 0.259914i | ||||
\(545\) | −13.6569 | −0.584995 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −24.2132 | −1.03528 | −0.517641 | − | 0.855598i | \(-0.673190\pi\) | ||||
−0.517641 | + | 0.855598i | \(0.673190\pi\) | |||||||
\(548\) | 0.928932 | + | 1.60896i | 0.0396820 | + | 0.0687313i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1.20711 | + | 2.09077i | −0.0514712 | + | 0.0891507i | ||||
\(551\) | 11.7426 | + | 20.3389i | 0.500253 | + | 0.866464i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −34.8995 | + | 4.77589i | −1.48408 | + | 0.203091i | ||||
\(554\) | −61.9411 | −2.63163 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −16.1066 | + | 27.8975i | −0.683072 | + | 1.18312i | ||||
\(557\) | −4.27817 | + | 7.41002i | −0.181272 | + | 0.313972i | −0.942314 | − | 0.334730i | \(-0.891355\pi\) |
0.761042 | + | 0.648703i | \(0.224688\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.28427 | 0.0966144 | ||||||||
\(560\) | 9.72792 | + | 12.5446i | 0.411080 | + | 0.530107i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 17.3995 | + | 30.1368i | 0.733953 | + | 1.27124i | ||||
\(563\) | 12.4142 | − | 21.5020i | 0.523197 | − | 0.906203i | −0.476439 | − | 0.879208i | \(-0.658073\pi\) |
0.999636 | − | 0.0269957i | \(-0.00859404\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.65685 | − | 13.2621i | −0.322126 | − | 0.557939i | ||||
\(566\) | 49.1127 | 2.06436 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 18.4142 | 0.772643 | ||||||||
\(569\) | 0.621320 | + | 1.07616i | 0.0260471 | + | 0.0451149i | 0.878755 | − | 0.477273i | \(-0.158375\pi\) |
−0.852708 | + | 0.522388i | \(0.825041\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.96447 | − | 3.40256i | 0.0822103 | − | 0.142392i | −0.821989 | − | 0.569504i | \(-0.807135\pi\) |
0.904199 | + | 0.427111i | \(0.140469\pi\) | |||||||
\(572\) | −1.58579 | − | 2.74666i | −0.0663051 | − | 0.114844i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −7.41421 | + | 1.01461i | −0.309463 | + | 0.0423491i | ||||
\(575\) | −7.00000 | −0.291920 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.82843 | + | 6.63103i | −0.159380 | + | 0.276053i | −0.934645 | − | 0.355582i | \(-0.884283\pi\) |
0.775266 | + | 0.631635i | \(0.217616\pi\) | |||||||
\(578\) | −3.00000 | + | 5.19615i | −0.124784 | + | 0.216131i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −24.8284 | −1.03094 | ||||||||
\(581\) | 2.82843 | − | 6.92820i | 0.117343 | − | 0.287430i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.58579 | + | 6.21076i | 0.148508 | + | 0.257224i | ||||
\(584\) | −0.757359 | + | 1.31178i | −0.0313398 | + | 0.0542820i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.91421 | + | 11.9758i | 0.285624 | + | 0.494714i | ||||
\(587\) | −8.68629 | −0.358522 | −0.179261 | − | 0.983802i | \(-0.557371\pi\) | ||||
−0.179261 | + | 0.983802i | \(0.557371\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 40.9706 | 1.68816 | ||||||||
\(590\) | −20.8995 | − | 36.1990i | −0.860419 | − | 1.49029i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 14.2279 | − | 24.6435i | 0.584764 | − | 1.01284i | ||||
\(593\) | −11.1360 | − | 19.2882i | −0.457302 | − | 0.792071i | 0.541515 | − | 0.840691i | \(-0.317851\pi\) |
−0.998817 | + | 0.0486202i | \(0.984518\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.82843 | − | 21.6251i | 0.361930 | − | 0.886544i | ||||
\(596\) | 85.0416 | 3.48344 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7.00000 | − | 12.1244i | 0.286251 | − | 0.495802i | ||||
\(599\) | −0.686292 | + | 1.18869i | −0.0280411 | + | 0.0485686i | −0.879705 | − | 0.475519i | \(-0.842260\pi\) |
0.851664 | + | 0.524088i | \(0.175594\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.4853 | −0.590867 | −0.295433 | − | 0.955363i | \(-0.595464\pi\) | ||||
−0.295433 | + | 0.955363i | \(0.595464\pi\) | |||||||
\(602\) | 17.4497 | − | 2.38794i | 0.711199 | − | 0.0973253i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 36.1777 | + | 62.6616i | 1.47205 | + | 2.54966i | ||||
\(605\) | −1.00000 | + | 1.73205i | −0.0406558 | + | 0.0704179i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.34315 | + | 16.1828i | 0.379227 | + | 0.656840i | 0.990950 | − | 0.134232i | \(-0.0428568\pi\) |
−0.611723 | + | 0.791072i | \(0.709523\pi\) | |||||||
\(608\) | −11.4853 | −0.465790 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −19.3137 | −0.781989 | ||||||||
\(611\) | −4.07107 | − | 7.05130i | −0.164698 | − | 0.285265i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −12.5858 | + | 21.7992i | −0.508335 | + | 0.880462i | 0.491618 | + | 0.870811i | \(0.336406\pi\) |
−0.999953 | + | 0.00965147i | \(0.996928\pi\) | |||||||
\(614\) | 20.8995 | + | 36.1990i | 0.843435 | + | 1.46087i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −7.15685 | − | 9.22911i | −0.288358 | − | 0.371851i | ||||
\(617\) | −13.1716 | −0.530268 | −0.265134 | − | 0.964212i | \(-0.585416\pi\) | ||||
−0.265134 | + | 0.964212i | \(0.585416\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −17.3137 | + | 29.9882i | −0.695897 | + | 1.20533i | 0.273981 | + | 0.961735i | \(0.411660\pi\) |
−0.969877 | + | 0.243593i | \(0.921674\pi\) | |||||||
\(620\) | −21.6569 | + | 37.5108i | −0.869760 | + | 1.50647i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −71.5269 | −2.86797 | ||||||||
\(623\) | −37.0711 | + | 5.07306i | −1.48522 | + | 0.203248i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 9.50000 | + | 16.4545i | 0.380000 | + | 0.658179i | ||||
\(626\) | −5.79289 | + | 10.0336i | −0.231531 | + | 0.401023i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −13.3995 | − | 23.2086i | −0.534698 | − | 0.926124i | ||||
\(629\) | −41.8701 | −1.66947 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.2843 | 1.04636 | 0.523180 | − | 0.852222i | \(-0.324745\pi\) | ||||
0.523180 | + | 0.852222i | \(0.324745\pi\) | |||||||
\(632\) | −29.3848 | − | 50.8959i | −1.16886 | − | 2.02453i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −30.5563 | + | 52.9251i | −1.21355 | + | 2.10193i | ||||
\(635\) | 16.0711 | + | 27.8359i | 0.637761 | + | 1.10463i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.14214 | + | 4.05845i | 0.164117 | + | 0.160802i | ||||
\(638\) | 7.82843 | 0.309930 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 20.5563 | − | 35.6046i | 0.812561 | − | 1.40740i | ||||
\(641\) | −6.24264 | + | 10.8126i | −0.246569 | + | 0.427071i | −0.962572 | − | 0.271027i | \(-0.912637\pi\) |
0.716002 | + | 0.698098i | \(0.245970\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.00000 | 0.0788723 | 0.0394362 | − | 0.999222i | \(-0.487444\pi\) | ||||
0.0394362 | + | 0.999222i | \(0.487444\pi\) | |||||||
\(644\) | 26.7990 | − | 65.6439i | 1.05603 | − | 2.58673i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −38.5919 | − | 66.8431i | −1.51838 | − | 2.62991i | ||||
\(647\) | −9.65685 | + | 16.7262i | −0.379650 | + | 0.657573i | −0.991011 | − | 0.133778i | \(-0.957289\pi\) |
0.611361 | + | 0.791352i | \(0.290622\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.32843 | + | 7.49706i | 0.169906 | + | 0.294285i | ||||
\(650\) | 2.00000 | 0.0784465 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −80.2843 | −3.14417 | ||||||||
\(653\) | 15.5563 | + | 26.9444i | 0.608767 | + | 1.05442i | 0.991444 | + | 0.130533i | \(0.0416689\pi\) |
−0.382677 | + | 0.923882i | \(0.624998\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −5.17157 | + | 8.95743i | −0.202070 | + | 0.349996i | ||||
\(656\) | −1.75736 | − | 3.04384i | −0.0686134 | − | 0.118842i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −38.4706 | − | 49.6096i | −1.49974 | − | 1.93398i | ||||
\(659\) | −34.4853 | −1.34336 | −0.671678 | − | 0.740843i | \(-0.734426\pi\) | ||||
−0.671678 | + | 0.740843i | \(0.734426\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.98528 | + | 10.3668i | −0.232800 | + | 0.403222i | −0.958631 | − | 0.284651i | \(-0.908122\pi\) |
0.725831 | + | 0.687873i | \(0.241456\pi\) | |||||||
\(662\) | −27.1421 | + | 47.0116i | −1.05491 | + | 1.82716i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 12.4853 | 0.484523 | ||||||||
\(665\) | 23.4853 | + | 30.2854i | 0.910720 | + | 1.17442i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 11.3492 | + | 19.6575i | 0.439444 | + | 0.761140i | ||||
\(668\) | 9.89949 | − | 17.1464i | 0.383023 | − | 0.663415i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 7.65685 | + | 13.2621i | 0.295810 | + | 0.512358i | ||||
\(671\) | 4.00000 | 0.154418 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 27.1716 | 1.04739 | 0.523694 | − | 0.851907i | \(-0.324554\pi\) | ||||
0.523694 | + | 0.851907i | \(0.324554\pi\) | |||||||
\(674\) | −4.65685 | − | 8.06591i | −0.179375 | − | 0.310687i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 23.5711 | − | 40.8263i | 0.906580 | − | 1.57024i | ||||
\(677\) | −16.0061 | − | 27.7234i | −0.615164 | − | 1.06550i | −0.990356 | − | 0.138548i | \(-0.955756\pi\) |
0.375191 | − | 0.926947i | \(-0.377577\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −11.4853 | + | 28.1331i | −0.440765 | + | 1.07965i | ||||
\(680\) | 38.9706 | 1.49445 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 6.82843 | − | 11.8272i | 0.261474 | − | 0.452886i | ||||
\(683\) | 1.60051 | − | 2.77216i | 0.0612416 | − | 0.106074i | −0.833779 | − | 0.552098i | \(-0.813827\pi\) |
0.895021 | + | 0.446025i | \(0.147161\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.970563 | −0.0370833 | ||||||||
\(686\) | 35.8848 | + | 26.6727i | 1.37009 | + | 1.01837i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 4.13604 | + | 7.16383i | 0.157685 | + | 0.273118i | ||||
\(689\) | 2.97056 | − | 5.14517i | 0.113169 | − | 0.196015i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.72792 | + | 9.92105i | 0.217900 | + | 0.377415i | 0.954166 | − | 0.299278i | \(-0.0967459\pi\) |
−0.736265 | + | 0.676693i | \(0.763413\pi\) | |||||||
\(692\) | 56.7696 | 2.15805 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −36.1421 | −1.37194 | ||||||||
\(695\) | −8.41421 | − | 14.5738i | −0.319169 | − | 0.552817i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.58579 | + | 4.47871i | −0.0979436 | + | 0.169643i | ||||
\(698\) | −13.2426 | − | 22.9369i | −0.501241 | − | 0.868175i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 10.0355 | − | 1.37333i | 0.379308 | − | 0.0519070i | ||||
\(701\) | 2.89949 | 0.109512 | 0.0547562 | − | 0.998500i | \(-0.482562\pi\) | ||||
0.0547562 | + | 0.998500i | \(0.482562\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 34.3492 | − | 59.4946i | 1.29551 | − | 2.24388i | ||||
\(704\) | −4.91421 | + | 8.51167i | −0.185211 | + | 0.320796i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −32.1421 | −1.20969 | ||||||||
\(707\) | −7.94365 | − | 10.2437i | −0.298752 | − | 0.385255i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −12.8848 | − | 22.3171i | −0.483898 | − | 0.838136i | 0.515931 | − | 0.856630i | \(-0.327446\pi\) |
−0.999829 | + | 0.0184943i | \(0.994113\pi\) | |||||||
\(710\) | −10.0711 | + | 17.4436i | −0.377960 | + | 0.654647i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −31.2132 | − | 54.0629i | −1.16976 | − | 2.02609i | ||||
\(713\) | 39.5980 | 1.48296 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.65685 | 0.0619628 | ||||||||
\(716\) | 34.1274 | + | 59.1104i | 1.27540 | + | 2.20906i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.65685 | + | 16.7262i | −0.360391 | + | 0.624215i | ||||
\(719\) | 5.60051 | + | 9.70036i | 0.208864 | + | 0.361762i | 0.951357 | − | 0.308091i | \(-0.0996902\pi\) |
−0.742493 | + | 0.669854i | \(0.766357\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −32.7279 | + | 4.47871i | −1.21885 | + | 0.166796i | ||||
\(722\) | 80.7696 | 3.00593 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 22.3137 | − | 38.6485i | 0.829282 | − | 1.43636i | ||||
\(725\) | −1.62132 | + | 2.80821i | −0.0602143 | + | 0.104294i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 46.0833 | 1.70913 | 0.854567 | − | 0.519342i | \(-0.173823\pi\) | ||||
0.854567 | + | 0.519342i | \(0.173823\pi\) | |||||||
\(728\) | −3.65685 | + | 8.95743i | −0.135532 | + | 0.331984i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.828427 | − | 1.43488i | −0.0306615 | − | 0.0531072i | ||||
\(731\) | 6.08579 | − | 10.5409i | 0.225091 | − | 0.389869i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.82843 | − | 8.36308i | −0.178342 | − | 0.308897i | 0.762971 | − | 0.646433i | \(-0.223740\pi\) |
−0.941313 | + | 0.337536i | \(0.890407\pi\) | |||||||
\(734\) | −10.0000 | −0.369107 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −11.1005 | −0.409170 | ||||||||
\(737\) | −1.58579 | − | 2.74666i | −0.0584132 | − | 0.101175i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 19.8284 | − | 34.3438i | 0.729400 | − | 1.26336i | −0.227736 | − | 0.973723i | \(-0.573132\pi\) |
0.957137 | − | 0.289636i | \(-0.0935342\pi\) | |||||||
\(740\) | 36.3137 | + | 62.8972i | 1.33492 | + | 2.31215i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 17.3137 | − | 42.4098i | 0.635606 | − | 1.55691i | ||||
\(743\) | −33.7990 | −1.23996 | −0.619982 | − | 0.784616i | \(-0.712860\pi\) | ||||
−0.619982 | + | 0.784616i | \(0.712860\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −22.2132 | + | 38.4744i | −0.813829 | + | 1.40959i | ||||
\(746\) | 2.00000 | − | 3.46410i | 0.0732252 | − | 0.126830i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −16.8995 | −0.617907 | ||||||||
\(749\) | 25.3137 | − | 3.46410i | 0.924943 | − | 0.126576i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.6569 | + | 25.3864i | 0.534836 | + | 0.926363i | 0.999171 | + | 0.0407039i | \(0.0129600\pi\) |
−0.464335 | + | 0.885660i | \(0.653707\pi\) | |||||||
\(752\) | 14.7426 | − | 25.5350i | 0.537609 | − | 0.931166i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.24264 | − | 5.61642i | −0.118090 | − | 0.204538i | ||||
\(755\) | −37.7990 | −1.37565 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.68629 | −0.279363 | −0.139682 | − | 0.990196i | \(-0.544608\pi\) | ||||
−0.139682 | + | 0.990196i | \(0.544608\pi\) | |||||||
\(758\) | −22.7279 | − | 39.3659i | −0.825515 | − | 1.42983i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −31.9706 | + | 55.3746i | −1.15969 | + | 2.00865i | ||||
\(761\) | −0.100505 | − | 0.174080i | −0.00364331 | − | 0.00631039i | 0.864198 | − | 0.503152i | \(-0.167826\pi\) |
−0.867841 | + | 0.496841i | \(0.834493\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −11.0711 | − | 14.2767i | −0.400800 | − | 0.516850i | ||||
\(764\) | 82.9117 | 2.99964 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.79289 | − | 4.83743i | 0.100911 | − | 0.174784i | ||||
\(767\) | 3.58579 | − | 6.21076i | 0.129475 | − | 0.224258i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 33.7990 | 1.21882 | 0.609411 | − | 0.792854i | \(-0.291406\pi\) | ||||
0.609411 | + | 0.792854i | \(0.291406\pi\) | |||||||
\(770\) | 12.6569 | − | 1.73205i | 0.456121 | − | 0.0624188i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 23.2426 | + | 40.2574i | 0.836521 | + | 1.44890i | ||||
\(773\) | −25.8284 | + | 44.7361i | −0.928984 | + | 1.60905i | −0.143959 | + | 0.989584i | \(0.545983\pi\) |
−0.785025 | + | 0.619464i | \(0.787350\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.82843 | + | 4.89898i | 0.101600 | + | 0.175977i | ||||
\(776\) | −50.6985 | −1.81997 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 28.4853 | 1.02125 | ||||||||
\(779\) | −4.24264 | − | 7.34847i | −0.152008 | − | 0.263286i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.08579 | − | 3.61269i | 0.0746353 | − | 0.129272i | ||||
\(782\) | −37.2990 | − | 64.6037i | −1.33381 | − | 2.31023i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5.22792 | + |