Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(148,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([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("441.148");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.f (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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.991381711347.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 148.2 | ||
Root | \(-0.335166 - 0.580525i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.148 |
Dual form | 441.2.f.f.295.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.335166 | − | 0.580525i | −0.236998 | − | 0.410493i | 0.722853 | − | 0.691002i | \(-0.242830\pi\) |
−0.959852 | + | 0.280508i | \(0.909497\pi\) | |||||||
\(3\) | 1.27533 | − | 1.17198i | 0.736310 | − | 0.676644i | ||||
\(4\) | 0.775327 | − | 1.34291i | 0.387664 | − | 0.671453i | ||||
\(5\) | 0.712469 | − | 1.23403i | 0.318626 | − | 0.551876i | −0.661576 | − | 0.749878i | \(-0.730112\pi\) |
0.980202 | + | 0.198002i | \(0.0634454\pi\) | |||||||
\(6\) | −1.10781 | − | 0.347551i | −0.452262 | − | 0.141887i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −2.38012 | −0.841499 | ||||||||
\(9\) | 0.252918 | − | 2.98932i | 0.0843060 | − | 0.996440i | ||||
\(10\) | −0.955182 | −0.302055 | ||||||||
\(11\) | 2.46539 | + | 4.27018i | 0.743342 | + | 1.28751i | 0.950965 | + | 0.309297i | \(0.100094\pi\) |
−0.207623 | + | 0.978209i | \(0.566573\pi\) | |||||||
\(12\) | −0.585065 | − | 2.62131i | −0.168894 | − | 0.756708i | ||||
\(13\) | 1.37730 | − | 2.38556i | 0.381995 | − | 0.661635i | −0.609352 | − | 0.792900i | \(-0.708571\pi\) |
0.991347 | + | 0.131265i | \(0.0419038\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.537632 | − | 2.40879i | −0.138816 | − | 0.621948i | ||||
\(16\) | −0.752918 | − | 1.30409i | −0.188230 | − | 0.326023i | ||||
\(17\) | 1.11968 | 0.271562 | 0.135781 | − | 0.990739i | \(-0.456646\pi\) | ||||
0.135781 | + | 0.990739i | \(0.456646\pi\) | |||||||
\(18\) | −1.82014 | + | 0.855094i | −0.429012 | + | 0.201548i | ||||
\(19\) | −4.01505 | −0.921115 | −0.460557 | − | 0.887630i | \(-0.652350\pi\) | ||||
−0.460557 | + | 0.887630i | \(0.652350\pi\) | |||||||
\(20\) | −1.10479 | − | 1.91356i | −0.247039 | − | 0.427884i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.65263 | − | 2.86244i | 0.352342 | − | 0.610274i | ||||
\(23\) | −2.71830 | + | 4.70824i | −0.566806 | + | 0.981736i | 0.430073 | + | 0.902794i | \(0.358488\pi\) |
−0.996879 | + | 0.0789424i | \(0.974846\pi\) | |||||||
\(24\) | −3.03543 | + | 2.78946i | −0.619605 | + | 0.569395i | ||||
\(25\) | 1.48478 | + | 2.57171i | 0.296955 | + | 0.514342i | ||||
\(26\) | −1.84650 | −0.362129 | ||||||||
\(27\) | −3.18087 | − | 4.10878i | −0.612160 | − | 0.790734i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.40555 | + | 5.89858i | 0.632394 | + | 1.09534i | 0.987061 | + | 0.160346i | \(0.0512611\pi\) |
−0.354667 | + | 0.934993i | \(0.615406\pi\) | |||||||
\(30\) | −1.21817 | + | 1.11946i | −0.222406 | + | 0.204384i | ||||
\(31\) | 1.25292 | − | 2.17012i | 0.225031 | − | 0.389765i | −0.731298 | − | 0.682058i | \(-0.761085\pi\) |
0.956329 | + | 0.292294i | \(0.0944184\pi\) | |||||||
\(32\) | −2.88483 | + | 4.99666i | −0.509970 | + | 0.883294i | ||||
\(33\) | 8.14874 | + | 2.55648i | 1.41851 | + | 0.445026i | ||||
\(34\) | −0.375279 | − | 0.650002i | −0.0643597 | − | 0.111474i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.81828 | − | 2.65735i | −0.636380 | − | 0.442891i | ||||
\(37\) | −1.41957 | −0.233376 | −0.116688 | − | 0.993169i | \(-0.537228\pi\) | ||||
−0.116688 | + | 0.993169i | \(0.537228\pi\) | |||||||
\(38\) | 1.34571 | + | 2.33083i | 0.218303 | + | 0.378111i | ||||
\(39\) | −1.03932 | − | 4.65654i | −0.166424 | − | 0.745643i | ||||
\(40\) | −1.69576 | + | 2.93714i | −0.268123 | + | 0.464403i | ||||
\(41\) | −0.124384 | + | 0.215440i | −0.0194256 | + | 0.0336460i | −0.875575 | − | 0.483083i | \(-0.839517\pi\) |
0.856149 | + | 0.516729i | \(0.172850\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.498313 | − | 0.863104i | −0.0759921 | − | 0.131622i | 0.825525 | − | 0.564365i | \(-0.190879\pi\) |
−0.901517 | + | 0.432743i | \(0.857546\pi\) | |||||||
\(44\) | 7.64592 | 1.15267 | ||||||||
\(45\) | −3.50872 | − | 2.44191i | −0.523049 | − | 0.364018i | ||||
\(46\) | 3.64434 | 0.537328 | ||||||||
\(47\) | −4.73790 | − | 8.20628i | −0.691093 | − | 1.19701i | −0.971480 | − | 0.237122i | \(-0.923796\pi\) |
0.280387 | − | 0.959887i | \(-0.409537\pi\) | |||||||
\(48\) | −2.48859 | − | 0.780738i | −0.359197 | − | 0.112690i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0.995294 | − | 1.72390i | 0.140756 | − | 0.243796i | ||||
\(51\) | 1.42796 | − | 1.31224i | 0.199954 | − | 0.183751i | ||||
\(52\) | −2.13572 | − | 3.69917i | −0.296171 | − | 0.512983i | ||||
\(53\) | 0.820458 | 0.112699 | 0.0563493 | − | 0.998411i | \(-0.482054\pi\) | ||||
0.0563493 | + | 0.998411i | \(0.482054\pi\) | |||||||
\(54\) | −1.31913 | + | 3.22370i | −0.179510 | + | 0.438690i | ||||
\(55\) | 7.02604 | 0.947392 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −5.12050 | + | 4.70556i | −0.678226 | + | 0.623267i | ||||
\(58\) | 2.28285 | − | 3.95401i | 0.299753 | − | 0.519187i | ||||
\(59\) | −3.29204 | + | 5.70197i | −0.428586 | + | 0.742334i | −0.996748 | − | 0.0805836i | \(-0.974322\pi\) |
0.568161 | + | 0.822917i | \(0.307655\pi\) | |||||||
\(60\) | −3.65163 | − | 1.14561i | −0.471423 | − | 0.147898i | ||||
\(61\) | 0.0376322 | + | 0.0651809i | 0.00481831 | + | 0.00834556i | 0.868425 | − | 0.495821i | \(-0.165133\pi\) |
−0.863606 | + | 0.504167i | \(0.831800\pi\) | |||||||
\(62\) | −1.67974 | −0.213328 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.855913 | 0.106989 | ||||||||
\(65\) | −1.96257 | − | 3.39927i | −0.243427 | − | 0.421628i | ||||
\(66\) | −1.24708 | − | 5.58740i | −0.153505 | − | 0.687761i | ||||
\(67\) | 6.29385 | − | 10.9013i | 0.768916 | − | 1.33180i | −0.169235 | − | 0.985576i | \(-0.554130\pi\) |
0.938151 | − | 0.346226i | \(-0.112537\pi\) | |||||||
\(68\) | 0.868117 | − | 1.50362i | 0.105275 | − | 0.182341i | ||||
\(69\) | 2.05125 | + | 9.19035i | 0.246941 | + | 1.10639i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.0804951 | 0.00955301 | 0.00477651 | − | 0.999989i | \(-0.498480\pi\) | ||||
0.00477651 | + | 0.999989i | \(0.498480\pi\) | |||||||
\(72\) | −0.601975 | + | 7.11494i | −0.0709435 | + | 0.838504i | ||||
\(73\) | 10.6910 | 1.25129 | 0.625644 | − | 0.780109i | \(-0.284836\pi\) | ||||
0.625644 | + | 0.780109i | \(0.284836\pi\) | |||||||
\(74\) | 0.475793 | + | 0.824098i | 0.0553098 | + | 0.0957995i | ||||
\(75\) | 4.90757 | + | 1.53964i | 0.566678 | + | 0.177782i | ||||
\(76\) | −3.11297 | + | 5.39183i | −0.357083 | + | 0.618485i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −2.35489 | + | 2.16407i | −0.266639 | + | 0.245032i | ||||
\(79\) | 0.922457 | + | 1.59774i | 0.103785 | + | 0.179760i | 0.913241 | − | 0.407420i | \(-0.133571\pi\) |
−0.809456 | + | 0.587180i | \(0.800238\pi\) | |||||||
\(80\) | −2.14572 | −0.239899 | ||||||||
\(81\) | −8.87206 | − | 1.51211i | −0.985785 | − | 0.168012i | ||||
\(82\) | 0.166758 | 0.0184153 | ||||||||
\(83\) | 7.23583 | + | 12.5328i | 0.794236 | + | 1.37566i | 0.923323 | + | 0.384023i | \(0.125462\pi\) |
−0.129088 | + | 0.991633i | \(0.541205\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.797736 | − | 1.38172i | 0.0865266 | − | 0.149868i | ||||
\(86\) | −0.334036 | + | 0.578567i | −0.0360200 | + | 0.0623885i | ||||
\(87\) | 11.2562 | + | 3.53138i | 1.20679 | + | 0.378604i | ||||
\(88\) | −5.86792 | − | 10.1635i | −0.625522 | − | 1.08344i | ||||
\(89\) | 13.5258 | 1.43374 | 0.716868 | − | 0.697209i | \(-0.245575\pi\) | ||||
0.716868 | + | 0.697209i | \(0.245575\pi\) | |||||||
\(90\) | −0.241583 | + | 2.85534i | −0.0254651 | + | 0.300980i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 4.21515 | + | 7.30085i | 0.439460 | + | 0.761167i | ||||
\(93\) | −0.945458 | − | 4.23601i | −0.0980394 | − | 0.439253i | ||||
\(94\) | −3.17597 | + | 5.50094i | −0.327576 | + | 0.567378i | ||||
\(95\) | −2.86059 | + | 4.95469i | −0.293491 | + | 0.508341i | ||||
\(96\) | 2.17690 | + | 9.75334i | 0.222179 | + | 0.995446i | ||||
\(97\) | −2.70160 | − | 4.67930i | −0.274306 | − | 0.475111i | 0.695654 | − | 0.718377i | \(-0.255115\pi\) |
−0.969960 | + | 0.243266i | \(0.921781\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 13.3885 | − | 6.28982i | 1.34559 | − | 0.632151i | ||||
\(100\) | 4.60475 | 0.460475 | ||||||||
\(101\) | −2.56770 | − | 4.44739i | −0.255496 | − | 0.442531i | 0.709534 | − | 0.704671i | \(-0.248905\pi\) |
−0.965030 | + | 0.262139i | \(0.915572\pi\) | |||||||
\(102\) | −1.24039 | − | 0.389145i | −0.122817 | − | 0.0385311i | ||||
\(103\) | −7.10561 | + | 12.3073i | −0.700137 | + | 1.21267i | 0.268282 | + | 0.963341i | \(0.413544\pi\) |
−0.968418 | + | 0.249332i | \(0.919789\pi\) | |||||||
\(104\) | −3.27814 | + | 5.67791i | −0.321448 | + | 0.556765i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.274990 | − | 0.476296i | −0.0267094 | − | 0.0462620i | ||||
\(107\) | −7.66030 | −0.740549 | −0.370274 | − | 0.928922i | \(-0.620736\pi\) | ||||
−0.370274 | + | 0.928922i | \(0.620736\pi\) | |||||||
\(108\) | −7.98392 | + | 1.08597i | −0.768253 | + | 0.104498i | ||||
\(109\) | 1.69879 | 0.162714 | 0.0813572 | − | 0.996685i | \(-0.474075\pi\) | ||||
0.0813572 | + | 0.996685i | \(0.474075\pi\) | |||||||
\(110\) | −2.35489 | − | 4.07880i | −0.224530 | − | 0.388898i | ||||
\(111\) | −1.81042 | + | 1.66371i | −0.171838 | + | 0.157913i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.300351 | + | 0.520224i | −0.0282547 | + | 0.0489385i | −0.879807 | − | 0.475331i | \(-0.842328\pi\) |
0.851552 | + | 0.524270i | \(0.175662\pi\) | |||||||
\(114\) | 4.44791 | + | 1.39543i | 0.416585 | + | 0.130694i | ||||
\(115\) | 3.87341 | + | 6.70895i | 0.361198 | + | 0.625613i | ||||
\(116\) | 10.5617 | 0.980625 | ||||||||
\(117\) | −6.78285 | − | 4.72055i | −0.627075 | − | 0.436415i | ||||
\(118\) | 4.41352 | 0.406297 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 1.27963 | + | 5.73322i | 0.116814 | + | 0.523369i | ||||
\(121\) | −6.65626 | + | 11.5290i | −0.605115 | + | 1.04809i | ||||
\(122\) | 0.0252261 | − | 0.0436929i | 0.00228386 | − | 0.00395577i | ||||
\(123\) | 0.0938609 | + | 0.420532i | 0.00846316 | + | 0.0379181i | ||||
\(124\) | −1.94284 | − | 3.36510i | −0.174472 | − | 0.302195i | ||||
\(125\) | 11.3561 | 1.01572 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.25977 | 0.644200 | 0.322100 | − | 0.946706i | \(-0.395611\pi\) | ||||
0.322100 | + | 0.946706i | \(0.395611\pi\) | |||||||
\(128\) | 5.48278 | + | 9.49645i | 0.484614 | + | 0.839375i | ||||
\(129\) | −1.64705 | − | 0.516726i | −0.145015 | − | 0.0454952i | ||||
\(130\) | −1.31557 | + | 2.27864i | −0.115384 | + | 0.199850i | ||||
\(131\) | −10.2265 | + | 17.7128i | −0.893492 | + | 1.54757i | −0.0578326 | + | 0.998326i | \(0.518419\pi\) |
−0.835660 | + | 0.549248i | \(0.814914\pi\) | |||||||
\(132\) | 9.75105 | − | 8.96088i | 0.848720 | − | 0.779945i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −8.43794 | −0.728927 | ||||||||
\(135\) | −7.33663 | + | 0.997927i | −0.631437 | + | 0.0858879i | ||||
\(136\) | −2.66497 | −0.228519 | ||||||||
\(137\) | −6.10581 | − | 10.5756i | −0.521655 | − | 0.903532i | −0.999683 | − | 0.0251879i | \(-0.991982\pi\) |
0.478028 | − | 0.878345i | \(-0.341352\pi\) | |||||||
\(138\) | 4.64772 | − | 4.27110i | 0.395640 | − | 0.363580i | ||||
\(139\) | 1.24092 | − | 2.14933i | 0.105253 | − | 0.182304i | −0.808588 | − | 0.588375i | \(-0.799768\pi\) |
0.913842 | + | 0.406071i | \(0.133101\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −15.6600 | − | 4.91296i | −1.31881 | − | 0.413746i | ||||
\(142\) | −0.0269793 | − | 0.0467294i | −0.00226405 | − | 0.00392145i | ||||
\(143\) | 13.5823 | 1.13581 | ||||||||
\(144\) | −4.08878 | + | 1.92088i | −0.340731 | + | 0.160074i | ||||
\(145\) | 9.70538 | 0.805988 | ||||||||
\(146\) | −3.58327 | − | 6.20640i | −0.296553 | − | 0.513645i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.10063 | + | 1.90635i | −0.0904715 | + | 0.156701i | ||||
\(149\) | 4.27797 | − | 7.40966i | 0.350465 | − | 0.607023i | −0.635866 | − | 0.771799i | \(-0.719357\pi\) |
0.986331 | + | 0.164777i | \(0.0526903\pi\) | |||||||
\(150\) | −0.751054 | − | 3.36500i | −0.0613233 | − | 0.274751i | ||||
\(151\) | 8.82962 | + | 15.2933i | 0.718544 | + | 1.24455i | 0.961577 | + | 0.274537i | \(0.0885244\pi\) |
−0.243033 | + | 0.970018i | \(0.578142\pi\) | |||||||
\(152\) | 9.55629 | 0.775117 | ||||||||
\(153\) | 0.283187 | − | 3.34708i | 0.0228943 | − | 0.270595i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.78533 | − | 3.09228i | −0.143401 | − | 0.248378i | ||||
\(156\) | −7.05911 | − | 2.21463i | −0.565181 | − | 0.177313i | ||||
\(157\) | 3.16074 | − | 5.47457i | 0.252255 | − | 0.436918i | −0.711891 | − | 0.702289i | \(-0.752161\pi\) |
0.964146 | + | 0.265371i | \(0.0854946\pi\) | |||||||
\(158\) | 0.618353 | − | 1.07102i | 0.0491936 | − | 0.0852057i | ||||
\(159\) | 1.04635 | − | 0.961562i | 0.0829811 | − | 0.0762568i | ||||
\(160\) | 4.11070 | + | 7.11993i | 0.324979 | + | 0.562880i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 2.09580 | + | 5.65726i | 0.164662 | + | 0.444477i | ||||
\(163\) | 8.02267 | 0.628384 | 0.314192 | − | 0.949359i | \(-0.398266\pi\) | ||||
0.314192 | + | 0.949359i | \(0.398266\pi\) | |||||||
\(164\) | 0.192877 | + | 0.334073i | 0.0150612 | + | 0.0260867i | ||||
\(165\) | 8.96050 | − | 8.23439i | 0.697574 | − | 0.641047i | ||||
\(166\) | 4.85041 | − | 8.40116i | 0.376465 | − | 0.652057i | ||||
\(167\) | −1.06038 | + | 1.83663i | −0.0820545 | + | 0.142123i | −0.904132 | − | 0.427253i | \(-0.859482\pi\) |
0.822078 | + | 0.569375i | \(0.192815\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.70608 | + | 4.68706i | 0.208160 | + | 0.360543i | ||||
\(170\) | −1.06950 | −0.0820267 | ||||||||
\(171\) | −1.01548 | + | 12.0023i | −0.0776555 | + | 0.917835i | ||||
\(172\) | −1.54542 | −0.117837 | ||||||||
\(173\) | −9.14404 | − | 15.8379i | −0.695208 | − | 1.20414i | −0.970110 | − | 0.242664i | \(-0.921979\pi\) |
0.274902 | − | 0.961472i | \(-0.411354\pi\) | |||||||
\(174\) | −1.72265 | − | 7.71812i | −0.130594 | − | 0.585109i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 3.71247 | − | 6.43018i | 0.279838 | − | 0.484693i | ||||
\(177\) | 2.48419 | + | 11.1301i | 0.186723 | + | 0.836588i | ||||
\(178\) | −4.53341 | − | 7.85209i | −0.339793 | − | 0.588539i | ||||
\(179\) | −7.62551 | −0.569958 | −0.284979 | − | 0.958534i | \(-0.591987\pi\) | ||||
−0.284979 | + | 0.958534i | \(0.591987\pi\) | |||||||
\(180\) | −5.99965 | + | 2.81860i | −0.447188 | + | 0.210086i | ||||
\(181\) | −15.5305 | −1.15438 | −0.577188 | − | 0.816611i | \(-0.695850\pi\) | ||||
−0.577188 | + | 0.816611i | \(0.695850\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.124384 | + | 0.0390227i | 0.00919475 | + | 0.00288464i | ||||
\(184\) | 6.46989 | − | 11.2062i | 0.476967 | − | 0.826130i | ||||
\(185\) | −1.01140 | + | 1.75180i | −0.0743597 | + | 0.128795i | ||||
\(186\) | −2.14222 | + | 1.96863i | −0.157075 | + | 0.144347i | ||||
\(187\) | 2.76044 | + | 4.78122i | 0.201863 | + | 0.349638i | ||||
\(188\) | −14.6937 | −1.07165 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.83510 | 0.278227 | ||||||||
\(191\) | −7.41624 | − | 12.8453i | −0.536620 | − | 0.929454i | −0.999083 | − | 0.0428150i | \(-0.986367\pi\) |
0.462463 | − | 0.886639i | \(-0.346966\pi\) | |||||||
\(192\) | 1.09157 | − | 1.00311i | 0.0787772 | − | 0.0723935i | ||||
\(193\) | −8.28387 | + | 14.3481i | −0.596286 | + | 1.03280i | 0.397078 | + | 0.917785i | \(0.370024\pi\) |
−0.993364 | + | 0.115013i | \(0.963309\pi\) | |||||||
\(194\) | −1.81097 | + | 3.13669i | −0.130020 | + | 0.225201i | ||||
\(195\) | −6.48680 | − | 2.03509i | −0.464529 | − | 0.145736i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −4.03740 | −0.287653 | −0.143826 | − | 0.989603i | \(-0.545941\pi\) | ||||
−0.143826 | + | 0.989603i | \(0.545941\pi\) | |||||||
\(198\) | −8.13876 | − | 5.66420i | −0.578397 | − | 0.402537i | ||||
\(199\) | −25.2814 | −1.79215 | −0.896076 | − | 0.443901i | \(-0.853594\pi\) | ||||
−0.896076 | + | 0.443901i | \(0.853594\pi\) | |||||||
\(200\) | −3.53395 | − | 6.12097i | −0.249888 | − | 0.432818i | ||||
\(201\) | −4.74937 | − | 21.2790i | −0.334995 | − | 1.50090i | ||||
\(202\) | −1.72121 | + | 2.98123i | −0.121104 | + | 0.209758i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.655085 | − | 2.93503i | −0.0458651 | − | 0.205493i | ||||
\(205\) | 0.177240 | + | 0.306988i | 0.0123790 | + | 0.0214410i | ||||
\(206\) | 9.52625 | 0.663725 | ||||||||
\(207\) | 13.3869 | + | 9.31668i | 0.930456 | + | 0.647554i | ||||
\(208\) | −4.14798 | −0.287611 | ||||||||
\(209\) | −9.89864 | − | 17.1449i | −0.684703 | − | 1.18594i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.76246 | + | 6.51678i | −0.259019 | + | 0.448634i | −0.965979 | − | 0.258619i | \(-0.916732\pi\) |
0.706961 | + | 0.707253i | \(0.250066\pi\) | |||||||
\(212\) | 0.636123 | − | 1.10180i | 0.0436891 | − | 0.0756718i | ||||
\(213\) | 0.102658 | − | 0.0943388i | 0.00703398 | − | 0.00646399i | ||||
\(214\) | 2.56747 | + | 4.44699i | 0.175509 | + | 0.303990i | ||||
\(215\) | −1.42013 | −0.0968521 | ||||||||
\(216\) | 7.57086 | + | 9.77938i | 0.515132 | + | 0.665402i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −0.569377 | − | 0.986190i | −0.0385631 | − | 0.0667932i | ||||
\(219\) | 13.6345 | − | 12.5297i | 0.921337 | − | 0.846677i | ||||
\(220\) | 5.44748 | − | 9.43531i | 0.367269 | − | 0.636129i | ||||
\(221\) | 1.54214 | − | 2.67106i | 0.103735 | − | 0.179675i | ||||
\(222\) | 1.57262 | + | 0.493374i | 0.105547 | + | 0.0331131i | ||||
\(223\) | −6.49230 | − | 11.2450i | −0.434757 | − | 0.753020i | 0.562519 | − | 0.826784i | \(-0.309832\pi\) |
−0.997276 | + | 0.0737638i | \(0.976499\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 8.06319 | − | 3.78804i | 0.537546 | − | 0.252536i | ||||
\(226\) | 0.402671 | 0.0267852 | ||||||||
\(227\) | −14.4832 | − | 25.0857i | −0.961286 | − | 1.66500i | −0.719277 | − | 0.694723i | \(-0.755527\pi\) |
−0.242009 | − | 0.970274i | \(-0.577806\pi\) | |||||||
\(228\) | 2.34906 | + | 10.5247i | 0.155571 | + | 0.697015i | ||||
\(229\) | 7.71790 | − | 13.3678i | 0.510013 | − | 0.883369i | −0.489919 | − | 0.871768i | \(-0.662974\pi\) |
0.999933 | − | 0.0116012i | \(-0.00369285\pi\) | |||||||
\(230\) | 2.59648 | − | 4.49723i | 0.171207 | − | 0.296538i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.10561 | − | 14.0393i | −0.532159 | − | 0.921727i | ||||
\(233\) | 4.94648 | 0.324055 | 0.162027 | − | 0.986786i | \(-0.448197\pi\) | ||||
0.162027 | + | 0.986786i | \(0.448197\pi\) | |||||||
\(234\) | −0.467014 | + | 5.51978i | −0.0305296 | + | 0.360840i | ||||
\(235\) | −13.5024 | −0.880800 | ||||||||
\(236\) | 5.10481 | + | 8.84179i | 0.332295 | + | 0.575551i | ||||
\(237\) | 3.04896 | + | 0.956542i | 0.198051 | + | 0.0621341i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.51732 | − | 11.2883i | 0.421571 | − | 0.730182i | −0.574523 | − | 0.818489i | \(-0.694812\pi\) |
0.996093 | + | 0.0883069i | \(0.0281456\pi\) | |||||||
\(240\) | −2.73650 | + | 2.51475i | −0.176640 | + | 0.162326i | ||||
\(241\) | 7.29123 | + | 12.6288i | 0.469670 | + | 0.813492i | 0.999399 | − | 0.0346754i | \(-0.0110397\pi\) |
−0.529729 | + | 0.848167i | \(0.677706\pi\) | |||||||
\(242\) | 8.92382 | 0.573645 | ||||||||
\(243\) | −13.0869 | + | 8.46947i | −0.839528 | + | 0.543317i | ||||
\(244\) | 0.116709 | 0.00747154 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.212671 | − | 0.195437i | 0.0135594 | − | 0.0124606i | ||||
\(247\) | −5.52993 | + | 9.57812i | −0.351861 | + | 0.609441i | ||||
\(248\) | −2.98209 | + | 5.16514i | −0.189363 | + | 0.327987i | ||||
\(249\) | 23.9163 | + | 7.50319i | 1.51563 | + | 0.475495i | ||||
\(250\) | −3.80619 | − | 6.59251i | −0.240724 | − | 0.416947i | ||||
\(251\) | 14.0715 | 0.888187 | 0.444094 | − | 0.895980i | \(-0.353526\pi\) | ||||
0.444094 | + | 0.895980i | \(0.353526\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −26.8067 | −1.68532 | ||||||||
\(254\) | −2.43323 | − | 4.21448i | −0.152674 | − | 0.264440i | ||||
\(255\) | −0.601975 | − | 2.69708i | −0.0376972 | − | 0.168897i | ||||
\(256\) | 4.53120 | − | 7.84826i | 0.283200 | − | 0.490517i | ||||
\(257\) | −4.18108 | + | 7.24184i | −0.260808 | + | 0.451733i | −0.966457 | − | 0.256829i | \(-0.917322\pi\) |
0.705649 | + | 0.708562i | \(0.250656\pi\) | |||||||
\(258\) | 0.252065 | + | 1.12935i | 0.0156929 | + | 0.0703100i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −6.08653 | −0.377471 | ||||||||
\(261\) | 18.4941 | − | 8.68841i | 1.14475 | − | 0.537799i | ||||
\(262\) | 13.7103 | 0.847025 | ||||||||
\(263\) | −1.63533 | − | 2.83247i | −0.100839 | − | 0.174658i | 0.811192 | − | 0.584780i | \(-0.198819\pi\) |
−0.912030 | + | 0.410122i | \(0.865486\pi\) | |||||||
\(264\) | −19.3950 | − | 6.08473i | −1.19368 | − | 0.374489i | ||||
\(265\) | 0.584551 | − | 1.01247i | 0.0359087 | − | 0.0621956i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 17.2499 | − | 15.8520i | 1.05568 | − | 0.970129i | ||||
\(268\) | −9.75958 | − | 16.9041i | −0.596161 | − | 1.03258i | ||||
\(269\) | −15.3870 | −0.938161 | −0.469081 | − | 0.883155i | \(-0.655415\pi\) | ||||
−0.469081 | + | 0.883155i | \(0.655415\pi\) | |||||||
\(270\) | 3.03831 | + | 3.92463i | 0.184906 | + | 0.238845i | ||||
\(271\) | 8.12617 | 0.493630 | 0.246815 | − | 0.969063i | \(-0.420616\pi\) | ||||
0.246815 | + | 0.969063i | \(0.420616\pi\) | |||||||
\(272\) | −0.843026 | − | 1.46016i | −0.0511160 | − | 0.0885355i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.09293 | + | 7.08915i | −0.247263 | + | 0.428271i | ||||
\(275\) | −7.32110 | + | 12.6805i | −0.441479 | + | 0.764664i | ||||
\(276\) | 13.9322 | + | 4.37090i | 0.838618 | + | 0.263097i | ||||
\(277\) | −6.42287 | − | 11.1247i | −0.385913 | − | 0.668421i | 0.605982 | − | 0.795478i | \(-0.292780\pi\) |
−0.991895 | + | 0.127057i | \(0.959447\pi\) | |||||||
\(278\) | −1.66365 | −0.0997793 | ||||||||
\(279\) | −6.17029 | − | 4.29423i | −0.369406 | − | 0.257089i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.724081 | − | 1.25415i | −0.0431951 | − | 0.0748161i | 0.843620 | − | 0.536941i | \(-0.180420\pi\) |
−0.886815 | + | 0.462125i | \(0.847087\pi\) | |||||||
\(282\) | 2.39660 | + | 10.7377i | 0.142715 | + | 0.639419i | ||||
\(283\) | −8.71926 | + | 15.1022i | −0.518306 | + | 0.897732i | 0.481468 | + | 0.876464i | \(0.340104\pi\) |
−0.999774 | + | 0.0212686i | \(0.993229\pi\) | |||||||
\(284\) | 0.0624100 | − | 0.108097i | 0.00370335 | − | 0.00641440i | ||||
\(285\) | 2.15862 | + | 9.67142i | 0.127865 | + | 0.572885i | ||||
\(286\) | −4.55234 | − | 7.88489i | −0.269186 | − | 0.466243i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 14.2070 | + | 9.88741i | 0.837156 | + | 0.582621i | ||||
\(289\) | −15.7463 | −0.926254 | ||||||||
\(290\) | −3.25292 | − | 5.63422i | −0.191018 | − | 0.330853i | ||||
\(291\) | −8.92948 | − | 2.80142i | −0.523455 | − | 0.164222i | ||||
\(292\) | 8.28903 | − | 14.3570i | 0.485079 | − | 0.840181i | ||||
\(293\) | 0.900048 | − | 1.55893i | 0.0525814 | − | 0.0910736i | −0.838537 | − | 0.544845i | \(-0.816588\pi\) |
0.891118 | + | 0.453772i | \(0.149922\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.69094 | + | 8.12495i | 0.273117 | + | 0.473053i | ||||
\(296\) | 3.37875 | 0.196386 | ||||||||
\(297\) | 9.70311 | − | 23.7126i | 0.563031 | − | 1.37595i | ||||
\(298\) | −5.73532 | −0.332238 | ||||||||
\(299\) | 7.48786 | + | 12.9693i | 0.433034 | + | 0.750037i | ||||
\(300\) | 5.87256 | − | 5.39668i | 0.339053 | − | 0.311578i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 5.91878 | − | 10.2516i | 0.340588 | − | 0.589915i | ||||
\(303\) | −8.48691 | − | 2.66257i | −0.487560 | − | 0.152961i | ||||
\(304\) | 3.02300 | + | 5.23599i | 0.173381 | + | 0.300305i | ||||
\(305\) | 0.107247 | 0.00614095 | ||||||||
\(306\) | −2.03798 | + | 0.957431i | −0.116503 | + | 0.0547327i | ||||
\(307\) | −1.06478 | −0.0607699 | −0.0303850 | − | 0.999538i | \(-0.509673\pi\) | ||||
−0.0303850 | + | 0.999538i | \(0.509673\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.36193 | + | 24.0234i | 0.305029 | + | 1.36665i | ||||
\(310\) | −1.19676 | + | 2.07286i | −0.0679717 | + | 0.117730i | ||||
\(311\) | −8.46463 | + | 14.6612i | −0.479985 | + | 0.831359i | −0.999736 | − | 0.0229591i | \(-0.992691\pi\) |
0.519751 | + | 0.854318i | \(0.326025\pi\) | |||||||
\(312\) | 2.47370 | + | 11.0831i | 0.140046 | + | 0.627458i | ||||
\(313\) | −4.13928 | − | 7.16944i | −0.233966 | − | 0.405241i | 0.725006 | − | 0.688743i | \(-0.241837\pi\) |
−0.958972 | + | 0.283502i | \(0.908504\pi\) | |||||||
\(314\) | −4.23750 | −0.239136 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.86082 | 0.160934 | ||||||||
\(317\) | −3.27371 | − | 5.67023i | −0.183870 | − | 0.318472i | 0.759325 | − | 0.650711i | \(-0.225529\pi\) |
−0.943195 | + | 0.332239i | \(0.892196\pi\) | |||||||
\(318\) | −0.908913 | − | 0.285151i | −0.0509693 | − | 0.0159905i | ||||
\(319\) | −16.7920 | + | 29.0846i | −0.940171 | + | 1.62842i | ||||
\(320\) | 0.609811 | − | 1.05622i | 0.0340895 | − | 0.0590447i | ||||
\(321\) | −9.76938 | + | 8.97773i | −0.545274 | + | 0.501088i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −4.49556 | −0.250140 | ||||||||
\(324\) | −8.90937 | + | 10.7420i | −0.494965 | + | 0.596776i | ||||
\(325\) | 8.17995 | 0.453742 | ||||||||
\(326\) | −2.68893 | − | 4.65736i | −0.148926 | − | 0.257947i | ||||
\(327\) | 2.16651 | − | 1.99095i | 0.119808 | − | 0.110100i | ||||
\(328\) | 0.296049 | − | 0.512773i | 0.0163466 | − | 0.0283131i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −7.78353 | − | 2.44191i | −0.428469 | − | 0.134422i | ||||
\(331\) | 13.3629 | + | 23.1453i | 0.734493 | + | 1.27218i | 0.954946 | + | 0.296781i | \(0.0959131\pi\) |
−0.220453 | + | 0.975398i | \(0.570754\pi\) | |||||||
\(332\) | 22.4405 | 1.23158 | ||||||||
\(333\) | −0.359036 | + | 4.24356i | −0.0196750 | + | 0.232546i | ||||
\(334\) | 1.42161 | 0.0777872 | ||||||||
\(335\) | −8.96834 | − | 15.5336i | −0.489993 | − | 0.848692i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.76164 | + | 8.24740i | −0.259383 | + | 0.449264i | −0.966077 | − | 0.258255i | \(-0.916853\pi\) |
0.706694 | + | 0.707520i | \(0.250186\pi\) | |||||||
\(338\) | 1.81397 | − | 3.14189i | 0.0986670 | − | 0.170896i | ||||
\(339\) | 0.226647 | + | 1.01546i | 0.0123097 | + | 0.0551523i | ||||
\(340\) | −1.23701 | − | 2.14257i | −0.0670864 | − | 0.116197i | ||||
\(341\) | 12.3557 | 0.669099 | ||||||||
\(342\) | 7.30796 | − | 3.43324i | 0.395169 | − | 0.185648i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 1.18605 | + | 2.05429i | 0.0639473 | + | 0.110760i | ||||
\(345\) | 12.8026 | + | 4.01654i | 0.689271 | + | 0.216243i | ||||
\(346\) | −6.12955 | + | 10.6167i | −0.329526 | + | 0.570757i | ||||
\(347\) | 9.35156 | − | 16.1974i | 0.502018 | − | 0.869521i | −0.497979 | − | 0.867189i | \(-0.665924\pi\) |
0.999997 | − | 0.00233189i | \(-0.000742265\pi\) | |||||||
\(348\) | 13.4696 | − | 12.3781i | 0.722044 | − | 0.663534i | ||||
\(349\) | 15.0542 | + | 26.0747i | 0.805834 | + | 1.39574i | 0.915727 | + | 0.401801i | \(0.131616\pi\) |
−0.109893 | + | 0.993943i | \(0.535051\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −14.1827 | + | 1.92913i | −0.757019 | + | 0.102970i | ||||
\(352\) | −28.4488 | −1.51633 | ||||||||
\(353\) | 3.12966 | + | 5.42074i | 0.166575 | + | 0.288517i | 0.937214 | − | 0.348756i | \(-0.113396\pi\) |
−0.770638 | + | 0.637273i | \(0.780062\pi\) | |||||||
\(354\) | 5.62868 | − | 5.17256i | 0.299161 | − | 0.274919i | ||||
\(355\) | 0.0573502 | − | 0.0993335i | 0.00304383 | − | 0.00527208i | ||||
\(356\) | 10.4870 | − | 18.1639i | 0.555807 | − | 0.962686i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.55582 | + | 4.42680i | 0.135079 | + | 0.233964i | ||||
\(359\) | 10.1951 | 0.538077 | 0.269038 | − | 0.963129i | \(-0.413294\pi\) | ||||
0.269038 | + | 0.963129i | \(0.413294\pi\) | |||||||
\(360\) | 8.35117 | + | 5.81203i | 0.440145 | + | 0.306321i | ||||
\(361\) | −2.87941 | −0.151548 | ||||||||
\(362\) | 5.20532 | + | 9.01587i | 0.273585 | + | 0.473864i | ||||
\(363\) | 5.02285 | + | 22.5042i | 0.263631 | + | 1.18117i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 7.61701 | − | 13.1931i | 0.398693 | − | 0.690556i | ||||
\(366\) | −0.0190357 | − | 0.0852873i | −0.000995014 | − | 0.00445804i | ||||
\(367\) | −14.3278 | − | 24.8165i | −0.747906 | − | 1.29541i | −0.948824 | − | 0.315804i | \(-0.897726\pi\) |
0.200918 | − | 0.979608i | \(-0.435608\pi\) | |||||||
\(368\) | 8.18664 | 0.426758 | ||||||||
\(369\) | 0.612560 | + | 0.426313i | 0.0318886 | + | 0.0221930i | ||||
\(370\) | 1.35595 | 0.0704926 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −6.42160 | − | 2.01463i | −0.332944 | − | 0.104454i | ||||
\(373\) | 8.03670 | − | 13.9200i | 0.416124 | − | 0.720749i | −0.579421 | − | 0.815028i | \(-0.696721\pi\) |
0.995546 | + | 0.0942796i | \(0.0300548\pi\) | |||||||
\(374\) | 1.85041 | − | 3.20501i | 0.0956826 | − | 0.165727i | ||||
\(375\) | 14.4828 | − | 13.3092i | 0.747887 | − | 0.687282i | ||||
\(376\) | 11.2768 | + | 19.5319i | 0.581555 | + | 1.00728i | ||||
\(377\) | 18.7619 | 0.966286 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.01893 | −0.0523388 | −0.0261694 | − | 0.999658i | \(-0.508331\pi\) | ||||
−0.0261694 | + | 0.999658i | \(0.508331\pi\) | |||||||
\(380\) | 4.43579 | + | 7.68302i | 0.227551 | + | 0.394130i | ||||
\(381\) | 9.25858 | − | 8.50831i | 0.474331 | − | 0.435894i | ||||
\(382\) | −4.97135 | + | 8.61063i | −0.254356 | + | 0.440558i | ||||
\(383\) | −5.79327 | + | 10.0342i | −0.296022 | + | 0.512725i | −0.975222 | − | 0.221228i | \(-0.928994\pi\) |
0.679200 | + | 0.733953i | \(0.262327\pi\) | |||||||
\(384\) | 18.1220 | + | 5.68536i | 0.924784 | + | 0.290130i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 11.1059 | 0.565275 | ||||||||
\(387\) | −2.70613 | + | 1.27132i | −0.137560 | + | 0.0646250i | ||||
\(388\) | −8.37848 | −0.425353 | ||||||||
\(389\) | −8.90675 | − | 15.4270i | −0.451590 | − | 0.782178i | 0.546895 | − | 0.837201i | \(-0.315810\pi\) |
−0.998485 | + | 0.0550239i | \(0.982476\pi\) | |||||||
\(390\) | 0.992739 | + | 4.44784i | 0.0502693 | + | 0.225225i | ||||
\(391\) | −3.04363 | + | 5.27172i | −0.153923 | + | 0.266602i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.71695 | + | 34.5749i | 0.389269 | + | 1.74407i | ||||
\(394\) | 1.35320 | + | 2.34381i | 0.0681732 | + | 0.118079i | ||||
\(395\) | 2.62889 | 0.132274 | ||||||||
\(396\) | 1.93379 | − | 22.8561i | 0.0971767 | − | 1.14856i | ||||
\(397\) | −13.0846 | −0.656696 | −0.328348 | − | 0.944557i | \(-0.606492\pi\) | ||||
−0.328348 | + | 0.944557i | \(0.606492\pi\) | |||||||
\(398\) | 8.47348 | + | 14.6765i | 0.424737 | + | 0.735666i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.23583 | − | 3.87257i | 0.111792 | − | 0.193629i | ||||
\(401\) | −7.05165 | + | 12.2138i | −0.352143 | + | 0.609929i | −0.986625 | − | 0.163009i | \(-0.947880\pi\) |
0.634482 | + | 0.772938i | \(0.281213\pi\) | |||||||
\(402\) | −10.7611 | + | 9.88912i | −0.536717 | + | 0.493224i | ||||
\(403\) | −3.45129 | − | 5.97782i | −0.171921 | − | 0.297776i | ||||
\(404\) | −7.96323 | −0.396185 | ||||||||
\(405\) | −8.18706 | + | 9.87108i | −0.406818 | + | 0.490498i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.49980 | − | 6.06183i | −0.173479 | − | 0.300474i | ||||
\(408\) | −3.39871 | + | 3.12329i | −0.168261 | + | 0.154626i | ||||
\(409\) | −1.32300 | + | 2.29150i | −0.0654179 | + | 0.113307i | −0.896879 | − | 0.442275i | \(-0.854171\pi\) |
0.831461 | + | 0.555583i | \(0.187505\pi\) | |||||||
\(410\) | 0.118810 | − | 0.205784i | 0.00586759 | − | 0.0101630i | ||||
\(411\) | −20.1813 | − | 6.33142i | −0.995470 | − | 0.312306i | ||||
\(412\) | 11.0183 | + | 19.0843i | 0.542835 | + | 0.940217i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0.921719 | − | 10.8941i | 0.0453000 | − | 0.535415i | ||||
\(415\) | 20.6212 | 1.01226 | ||||||||
\(416\) | 7.94655 | + | 13.7638i | 0.389612 | + | 0.674827i | ||||
\(417\) | −0.936401 | − | 4.19543i | −0.0458557 | − | 0.205451i | ||||
\(418\) | −6.63538 | + | 11.4928i | −0.324547 | + | 0.562132i | ||||
\(419\) | −16.7567 | + | 29.0235i | −0.818619 | + | 1.41789i | 0.0880816 | + | 0.996113i | \(0.471926\pi\) |
−0.906700 | + | 0.421776i | \(0.861407\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.41950 | − | 4.19071i | −0.117919 | − | 0.204242i | 0.801024 | − | 0.598633i | \(-0.204289\pi\) |
−0.918943 | + | 0.394390i | \(0.870956\pi\) | |||||||
\(422\) | 5.04421 | 0.245548 | ||||||||
\(423\) | −25.7295 | + | 12.0876i | −1.25101 | + | 0.587718i | ||||
\(424\) | −1.95279 | −0.0948358 | ||||||||
\(425\) | 1.66247 | + | 2.87949i | 0.0806418 | + | 0.139676i | ||||
\(426\) | −0.0891734 | − | 0.0279761i | −0.00432047 | − | 0.00135545i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −5.93923 | + | 10.2871i | −0.287084 | + | 0.497244i | ||||
\(429\) | 17.3219 | − | 15.9182i | 0.836310 | − | 0.768540i | ||||
\(430\) | 0.475980 | + | 0.824422i | 0.0229538 | + | 0.0397571i | ||||
\(431\) | −35.3285 | −1.70172 | −0.850858 | − | 0.525396i | \(-0.823917\pi\) | ||||
−0.850858 | + | 0.525396i | \(0.823917\pi\) | |||||||
\(432\) | −2.96329 | + | 7.24173i | −0.142571 | + | 0.348418i | ||||
\(433\) | −5.47404 | −0.263066 | −0.131533 | − | 0.991312i | \(-0.541990\pi\) | ||||
−0.131533 | + | 0.991312i | \(0.541990\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 12.3775 | − | 11.3745i | 0.593458 | − | 0.545367i | ||||
\(436\) | 1.31712 | − | 2.28131i | 0.0630785 | − | 0.109255i | ||||
\(437\) | 10.9141 | − | 18.9038i | 0.522093 | − | 0.904292i | ||||
\(438\) | −11.8436 | − | 3.71567i | −0.565910 | − | 0.177541i | ||||
\(439\) | 3.19906 | + | 5.54093i | 0.152683 | + | 0.264454i | 0.932213 | − | 0.361911i | \(-0.117875\pi\) |
−0.779530 | + | 0.626365i | \(0.784542\pi\) | |||||||
\(440\) | −16.7228 | −0.797229 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.06749 | −0.0983404 | ||||||||
\(443\) | 3.19341 | + | 5.53115i | 0.151723 | + | 0.262793i | 0.931861 | − | 0.362815i | \(-0.118184\pi\) |
−0.780138 | + | 0.625608i | \(0.784851\pi\) | |||||||
\(444\) | 0.830543 | + | 3.72115i | 0.0394158 | + | 0.176598i | ||||
\(445\) | 9.63674 | − | 16.6913i | 0.456825 | − | 0.791245i | ||||
\(446\) | −4.35200 | + | 7.53789i | −0.206073 | + | 0.356929i | ||||
\(447\) | −3.22817 | − | 14.4634i | −0.152687 | − | 0.684097i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −11.7460 | −0.554327 | −0.277163 | − | 0.960823i | \(-0.589394\pi\) | ||||
−0.277163 | + | 0.960823i | \(0.589394\pi\) | |||||||
\(450\) | −4.90156 | − | 3.41126i | −0.231062 | − | 0.160808i | ||||
\(451\) | −1.22662 | −0.0577593 | ||||||||
\(452\) | 0.465741 | + | 0.806687i | 0.0219066 | + | 0.0379434i | ||||
\(453\) | 29.1842 | + | 9.15587i | 1.37119 | + | 0.430180i | ||||
\(454\) | −9.70859 | + | 16.8158i | −0.455647 | + | 0.789203i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 12.1874 | − | 11.1998i | 0.570727 | − | 0.524478i | ||||
\(457\) | −5.26120 | − | 9.11266i | −0.246108 | − | 0.426272i | 0.716334 | − | 0.697757i | \(-0.245819\pi\) |
−0.962443 | + | 0.271485i | \(0.912485\pi\) | |||||||
\(458\) | −10.3471 | −0.483489 | ||||||||
\(459\) | −3.56156 | − | 4.60051i | −0.166239 | − | 0.214733i | ||||
\(460\) | 12.0127 | 0.560093 | ||||||||
\(461\) | 3.54278 | + | 6.13627i | 0.165004 | + | 0.285794i | 0.936657 | − | 0.350249i | \(-0.113903\pi\) |
−0.771653 | + | 0.636044i | \(0.780570\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.3760 | − | 28.3641i | 0.761059 | − | 1.31819i | −0.181246 | − | 0.983438i | \(-0.558013\pi\) |
0.942305 | − | 0.334755i | \(-0.108654\pi\) | |||||||
\(464\) | 5.12820 | − | 8.88230i | 0.238071 | − | 0.412350i | ||||
\(465\) | −5.90098 | − | 1.85130i | −0.273651 | − | 0.0858518i | ||||
\(466\) | −1.65789 | − | 2.87156i | −0.0768004 | − | 0.133022i | ||||
\(467\) | 3.92431 | 0.181596 | 0.0907978 | − | 0.995869i | \(-0.471058\pi\) | ||||
0.0907978 | + | 0.995869i | \(0.471058\pi\) | |||||||
\(468\) | −11.5982 | + | 5.44876i | −0.536126 | + | 0.251869i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 4.52555 | + | 7.83849i | 0.208748 | + | 0.361563i | ||||
\(471\) | −2.38511 | − | 10.6862i | −0.109900 | − | 0.492394i | ||||
\(472\) | 7.83544 | − | 13.5714i | 0.360655 | − | 0.624673i | ||||
\(473\) | 2.45707 | − | 4.25577i | 0.112976 | − | 0.195681i | ||||
\(474\) | −0.466612 | − | 2.09060i | −0.0214322 | − | 0.0960244i | ||||
\(475\) | −5.96145 | − | 10.3255i | −0.273530 | − | 0.473768i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.207509 | − | 2.45261i | 0.00950117 | − | 0.112297i | ||||
\(478\) | −8.73755 | −0.399646 | ||||||||
\(479\) | 8.04324 | + | 13.9313i | 0.367505 | + | 0.636537i | 0.989175 | − | 0.146742i | \(-0.0468787\pi\) |
−0.621670 | + | 0.783279i | \(0.713545\pi\) | |||||||
\(480\) | 13.5869 | + | 4.26258i | 0.620155 | + | 0.194559i | ||||
\(481\) | −1.95518 | + | 3.38647i | −0.0891486 | + | 0.154410i | ||||
\(482\) | 4.88755 | − | 8.46549i | 0.222622 | − | 0.385592i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 10.3216 | + | 17.8775i | 0.469162 | + | 0.812612i | ||||
\(485\) | −7.69921 | −0.349603 | ||||||||
\(486\) | 9.30304 | + | 4.75862i | 0.421995 | + | 0.215855i | ||||
\(487\) | 3.50344 | 0.158756 | 0.0793781 | − | 0.996845i | \(-0.474707\pi\) | ||||
0.0793781 | + | 0.996845i | \(0.474707\pi\) | |||||||
\(488\) | −0.0895692 | − | 0.155138i | −0.00405461 | − | 0.00702279i | ||||
\(489\) | 10.2315 | − | 9.40242i | 0.462686 | − | 0.425192i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −20.5546 | + | 35.6017i | −0.927618 | + | 1.60668i | −0.140321 | + | 0.990106i | \(0.544814\pi\) |
−0.787296 | + | 0.616575i | \(0.788520\pi\) | |||||||
\(492\) | 0.637508 | + | 0.200004i | 0.0287411 | + | 0.00901686i | ||||
\(493\) | 3.81312 | + | 6.60452i | 0.171734 | + | 0.297452i | ||||
\(494\) | 7.41379 | 0.333562 | ||||||||
\(495\) | 1.77701 | − | 21.0031i | 0.0798708 | − | 0.944019i | ||||
\(496\) | −3.77338 | −0.169430 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −3.66015 | − | 16.3988i | −0.164015 | − | 0.734849i | ||||
\(499\) | −5.91486 | + | 10.2448i | −0.264785 | + | 0.458622i | −0.967507 | − | 0.252843i | \(-0.918634\pi\) |
0.702722 | + | 0.711465i | \(0.251968\pi\) | |||||||
\(500\) | 8.80470 | − | 15.2502i | 0.393758 | − | 0.682009i | ||||
\(501\) | 0.800166 | + | 3.58505i | 0.0357488 | + | 0.160168i | ||||
\(502\) | −4.71631 | − | 8.16888i | −0.210499 | − | 0.364595i | ||||
\(503\) | −21.8595 | −0.974665 | −0.487332 | − | 0.873217i | \(-0.662030\pi\) | ||||
−0.487332 | + | 0.873217i | \(0.662030\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.31762 | −0.325630 | ||||||||
\(506\) | 8.98470 | + | 15.5620i | 0.399419 | + | 0.691813i | ||||
\(507\) | 8.94428 | + | 2.80606i | 0.397230 | + | 0.124622i | ||||
\(508\) | 5.62869 | − | 9.74918i | 0.249733 | − | 0.432550i | ||||
\(509\) | 8.44831 | − | 14.6329i | 0.374465 | − | 0.648592i | −0.615782 | − | 0.787917i | \(-0.711160\pi\) |
0.990247 | + | 0.139324i | \(0.0444931\pi\) | |||||||
\(510\) | −1.36396 | + | 1.25343i | −0.0603971 | + | 0.0555029i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 15.8563 | 0.700756 | ||||||||
\(513\) | 12.7714 | + | 16.4969i | 0.563869 | + | 0.728357i | ||||
\(514\) | 5.60542 | 0.247245 | ||||||||
\(515\) | 10.1250 | + | 17.5371i | 0.446163 | + | 0.772777i | ||||
\(516\) | −1.97092 | + | 1.81121i | −0.0867649 | + | 0.0797340i | ||||
\(517\) | 23.3615 | − | 40.4633i | 1.02744 | − | 1.77957i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −30.2234 | − | 9.48190i | −1.32666 | − | 0.416209i | ||||
\(520\) | 4.67115 | + | 8.09067i | 0.204843 | + | 0.354799i | ||||
\(521\) | −34.4932 | −1.51117 | −0.755587 | − | 0.655048i | \(-0.772648\pi\) | ||||
−0.755587 | + | 0.655048i | \(0.772648\pi\) | |||||||
\(522\) | −11.2424 | − | 7.82421i | −0.492068 | − | 0.342456i | ||||
\(523\) | 1.99123 | 0.0870704 | 0.0435352 | − | 0.999052i | \(-0.486138\pi\) | ||||
0.0435352 | + | 0.999052i | \(0.486138\pi\) | |||||||
\(524\) | 15.8577 | + | 27.4664i | 0.692749 | + | 1.19988i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.09622 | + | 1.89870i | −0.0477972 | + | 0.0827873i | ||||
\(527\) | 1.40287 | − | 2.42983i | 0.0611098 | − | 0.105845i | ||||
\(528\) | −2.80145 | − | 12.5515i | −0.121917 | − | 0.546235i | ||||
\(529\) | −3.27836 | − | 5.67829i | −0.142538 | − | 0.246882i | ||||
\(530\) | −0.783687 | −0.0340412 | ||||||||
\(531\) | 16.2124 | + | 11.2831i | 0.703558 | + | 0.489644i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.342629 | + | 0.593452i | 0.0148409 | + | 0.0257052i | ||||
\(534\) | −14.9841 | − | 4.70091i | −0.648425 | − | 0.203428i | ||||
\(535\) | −5.45772 | + | 9.45305i | −0.235958 | + | 0.408691i | ||||
\(536\) | −14.9801 | + | 25.9463i | −0.647042 | + | 1.12071i | ||||
\(537\) | −9.72503 | + | 8.93696i | −0.419666 | + | 0.385658i | ||||
\(538\) | 5.15720 | + | 8.93253i | 0.222343 | + | 0.385109i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −4.34817 | + | 10.6261i | −0.187115 | + | 0.457276i | ||||
\(541\) | 30.1363 | 1.29566 | 0.647830 | − | 0.761785i | \(-0.275677\pi\) | ||||
0.647830 | + | 0.761785i | \(0.275677\pi\) | |||||||
\(542\) | −2.72362 | − | 4.71745i | −0.116989 | − | 0.202632i | ||||
\(543\) | −19.8065 | + | 18.2015i | −0.849979 | + | 0.781102i | ||||
\(544\) | −3.23008 | + | 5.59466i | −0.138488 | + | 0.239869i | ||||
\(545\) | 1.21033 | − | 2.09636i | 0.0518450 | − | 0.0897982i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.68070 | + | 13.3034i | 0.328403 | + | 0.568810i | 0.982195 | − | 0.187864i | \(-0.0601563\pi\) |
−0.653792 | + | 0.756674i | \(0.726823\pi\) | |||||||
\(548\) | −18.9360 | −0.808906 | ||||||||
\(549\) | 0.204365 | − | 0.0960093i | 0.00872206 | − | 0.00409758i | ||||
\(550\) | 9.81514 | 0.418519 | ||||||||
\(551\) | −13.6734 | − | 23.6831i | −0.582508 | − | 1.00893i | ||||
\(552\) | −4.88221 | − | 21.8741i | −0.207801 | − | 0.931025i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −4.30546 | + | 7.45728i | −0.182921 | + | 0.316829i | ||||
\(555\) | 0.763209 | + | 3.41946i | 0.0323964 | + | 0.145148i | ||||
\(556\) | −1.92423 | − | 3.33287i | −0.0816056 | − | 0.141345i | ||||
\(557\) | 23.2823 | 0.986504 | 0.493252 | − | 0.869886i | \(-0.335808\pi\) | ||||
0.493252 | + | 0.869886i | \(0.335808\pi\) | |||||||
\(558\) | −0.424838 | + | 5.02129i | −0.0179848 | + | 0.212568i | ||||
\(559\) | −2.74531 | −0.116114 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 9.12397 | + | 2.86244i | 0.385214 | + | 0.120852i | ||||
\(562\) | −0.485375 | + | 0.840695i | −0.0204743 | + | 0.0354626i | ||||
\(563\) | 2.27942 | − | 3.94808i | 0.0960663 | − | 0.166392i | −0.813987 | − | 0.580883i | \(-0.802707\pi\) |
0.910053 | + | 0.414492i | \(0.136041\pi\) | |||||||
\(564\) | −18.7392 | + | 17.2207i | −0.789065 | + | 0.725123i | ||||
\(565\) | 0.427982 | + | 0.741286i | 0.0180053 | + | 0.0311861i | ||||
\(566\) | 11.6896 | 0.491351 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.191588 | −0.00803885 | ||||||||
\(569\) | −9.09976 | − | 15.7612i | −0.381482 | − | 0.660746i | 0.609793 | − | 0.792561i | \(-0.291253\pi\) |
−0.991274 | + | 0.131815i | \(0.957919\pi\) | |||||||
\(570\) | 4.89101 | − | 4.49467i | 0.204862 | − | 0.188261i | ||||
\(571\) | 8.52275 | − | 14.7618i | 0.356666 | − | 0.617763i | −0.630736 | − | 0.775998i | \(-0.717247\pi\) |
0.987402 | + | 0.158234i | \(0.0505801\pi\) | |||||||
\(572\) | 10.5307 | − | 18.2398i | 0.440313 | − | 0.762644i | ||||
\(573\) | −24.5126 | − | 7.69027i | −1.02403 | − | 0.321266i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −16.1443 | −0.673264 | ||||||||
\(576\) | 0.216476 | − | 2.55860i | 0.00901983 | − | 0.106608i | ||||
\(577\) | −11.4095 | −0.474982 | −0.237491 | − | 0.971390i | \(-0.576325\pi\) | ||||
−0.237491 | + | 0.971390i | \(0.576325\pi\) | |||||||
\(578\) | 5.27764 | + | 9.14113i | 0.219521 | + | 0.380221i | ||||
\(579\) | 6.25105 | + | 28.0070i | 0.259785 | + | 1.16393i | ||||
\(580\) | 7.52485 | − | 13.0334i | 0.312452 | − | 0.541183i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 1.36657 | + | 6.12273i | 0.0566460 | + | 0.253795i | ||||
\(583\) | 2.02275 | + | 3.50350i | 0.0837736 | + | 0.145100i | ||||
\(584\) | −25.4459 | −1.05296 | ||||||||
\(585\) | −10.6579 | + | 5.00701i | −0.440649 | + | 0.207014i | ||||
\(586\) | −1.20666 | −0.0498468 | ||||||||
\(587\) | −2.52544 | − | 4.37420i | −0.104236 | − | 0.180543i | 0.809190 | − | 0.587548i | \(-0.199906\pi\) |
−0.913426 | + | 0.407005i | \(0.866573\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.03052 | + | 8.71312i | −0.207279 | + | 0.359018i | ||||
\(590\) | 3.14449 | − | 5.44642i | 0.129457 | − | 0.224226i | ||||
\(591\) | −5.14900 | + | 4.73176i | −0.211802 | + | 0.194638i | ||||
\(592\) | 1.06882 | + | 1.85126i | 0.0439283 | + | 0.0760861i | ||||
\(593\) | −19.9778 | −0.820391 | −0.410196 | − | 0.911998i | \(-0.634540\pi\) | ||||
−0.410196 | + | 0.911998i | \(0.634540\pi\) | |||||||
\(594\) | −17.0179 | + | 2.31477i | −0.698254 | + | 0.0949763i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −6.63365 | − | 11.4898i | −0.271725 | − | 0.470641i | ||||
\(597\) | −32.2421 | + | 29.6293i | −1.31958 | + | 1.21265i | ||||
\(598\) | 5.01935 | − | 8.69378i | 0.205257 | − | 0.355515i | ||||
\(599\) | −2.19660 | + | 3.80463i | −0.0897508 | + | 0.155453i | −0.907406 | − | 0.420256i | \(-0.861940\pi\) |
0.817655 | + | 0.575709i | \(0.195274\pi\) | |||||||
\(600\) | −11.6806 | − | 3.66452i | −0.476859 | − | 0.149604i | ||||
\(601\) | −12.1778 | − | 21.0926i | −0.496743 | − | 0.860385i | 0.503250 | − | 0.864141i | \(-0.332138\pi\) |
−0.999993 | + | 0.00375637i | \(0.998804\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −30.9955 | − | 21.5715i | −1.26224 | − | 0.878457i | ||||
\(604\) | 27.3834 | 1.11421 | ||||||||
\(605\) | 9.48476 | + | 16.4281i | 0.385610 | + | 0.667897i | ||||
\(606\) | 1.29884 | + | 5.81927i | 0.0527616 | + | 0.236392i | ||||
\(607\) | 6.56281 | − | 11.3671i | 0.266376 | − | 0.461377i | −0.701547 | − | 0.712623i | \(-0.747507\pi\) |
0.967923 | + | 0.251246i | \(0.0808403\pi\) | |||||||
\(608\) | 11.5827 | − | 20.0618i | 0.469741 | − | 0.813615i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.0359456 | − | 0.0622597i | −0.00145540 | − | 0.00252082i | ||||
\(611\) | −26.1021 | −1.05598 | ||||||||
\(612\) | −4.27525 | − | 2.97537i | −0.172817 | − | 0.120272i | ||||
\(613\) | 46.4806 | 1.87733 | 0.938667 | − | 0.344825i | \(-0.112062\pi\) | ||||
0.938667 | + | 0.344825i | \(0.112062\pi\) | |||||||
\(614\) | 0.356877 | + | 0.618129i | 0.0144024 | + | 0.0249456i | ||||
\(615\) | 0.585823 | + | 0.183789i | 0.0236227 | + | 0.00741108i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 14.1948 | − | 24.5862i | 0.571463 | − | 0.989803i | −0.424953 | − | 0.905215i | \(-0.639709\pi\) |
0.996416 | − | 0.0845873i | \(-0.0269572\pi\) | |||||||
\(618\) | 12.1491 | − | 11.1646i | 0.488708 | − | 0.449105i | ||||
\(619\) | 15.9606 | + | 27.6446i | 0.641511 | + | 1.11113i | 0.985096 | + | 0.172008i | \(0.0550254\pi\) |
−0.343585 | + | 0.939122i | \(0.611641\pi\) | |||||||
\(620\) | −5.53686 | −0.222366 | ||||||||
\(621\) | 27.9917 | − | 3.80742i | 1.12327 | − | 0.152787i | ||||
\(622\) | 11.3482 | 0.455023 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −5.29004 | + | 4.86136i | −0.211771 | + | 0.194610i | ||||
\(625\) | 0.666993 | − | 1.15527i | 0.0266797 | − | 0.0462106i | ||||
\(626\) | −2.77469 | + | 4.80591i | −0.110899 | + | 0.192083i | ||||
\(627\) | −32.7176 | − | 10.2644i | −1.30661 | − | 0.409920i | ||||
\(628\) | −4.90122 | − | 8.48916i | −0.195580 | − | 0.338754i | ||||
\(629\) | −1.58947 | −0.0633762 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 38.7184 | 1.54135 | 0.770677 | − | 0.637226i | \(-0.219918\pi\) | ||||
0.770677 | + | 0.637226i | \(0.219918\pi\) | |||||||
\(632\) | −2.19556 | − | 3.80282i | −0.0873346 | − | 0.151268i | ||||
\(633\) | 2.83917 | + | 12.7206i | 0.112847 | + | 0.505597i | ||||
\(634\) | −2.19447 | + | 3.80094i | −0.0871537 | + | 0.150955i | ||||
\(635\) | 5.17236 | − | 8.95878i | 0.205259 | − | 0.355519i | ||||
\(636\) | −0.480022 | − | 2.15068i | −0.0190341 | − | 0.0852799i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 22.5124 | 0.891276 | ||||||||
\(639\) | 0.0203587 | − | 0.240626i | 0.000805377 | − | 0.00951900i | ||||
\(640\) | 15.6252 | 0.617641 | ||||||||
\(641\) | 20.2001 | + | 34.9875i | 0.797854 | + | 1.38192i | 0.921011 | + | 0.389537i | \(0.127365\pi\) |
−0.123157 | + | 0.992387i | \(0.539302\pi\) | |||||||
\(642\) | 8.48616 | + | 2.66234i | 0.334922 | + | 0.105074i | ||||
\(643\) | −6.27355 | + | 10.8661i | −0.247405 | + | 0.428517i | −0.962805 | − | 0.270198i | \(-0.912911\pi\) |
0.715400 | + | 0.698715i | \(0.246244\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.81113 | + | 1.66437i | −0.0713132 | + | 0.0655344i | ||||
\(646\) | 1.50676 | + | 2.60979i | 0.0592827 | + | 0.102681i | ||||
\(647\) | 34.5548 | 1.35849 | 0.679245 | − | 0.733912i | \(-0.262308\pi\) | ||||
0.679245 | + | 0.733912i | \(0.262308\pi\) | |||||||
\(648\) | 21.1166 | + | 3.59899i | 0.829537 | + | 0.141382i | ||||
\(649\) | −32.4646 | −1.27435 | ||||||||
\(650\) | −2.74164 | − | 4.74866i | −0.107536 | − | 0.186258i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.22019 | − | 10.7737i | 0.243602 | − | 0.421930i | ||||
\(653\) | 11.1472 | − | 19.3075i | 0.436223 | − | 0.755560i | −0.561172 | − | 0.827699i | \(-0.689649\pi\) |
0.997395 | + | 0.0721392i | \(0.0229826\pi\) | |||||||
\(654\) | −1.88194 | − | 0.590415i | −0.0735896 | − | 0.0230871i | ||||
\(655\) | 14.5721 | + | 25.2396i | 0.569379 | + | 0.986194i | ||||
\(656\) | 0.374605 | 0.0146259 | ||||||||
\(657\) | 2.70395 | − | 31.9589i | 0.105491 | − | 1.24683i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 3.57493 | + | 6.19196i | 0.139259 | + | 0.241204i | 0.927217 | − | 0.374526i | \(-0.122194\pi\) |
−0.787957 | + | 0.615730i | \(0.788861\pi\) | |||||||
\(660\) | −4.11070 | − | 18.4175i | −0.160009 | − | 0.716899i | ||||
\(661\) | 21.4530 | − | 37.1577i | 0.834425 | − | 1.44527i | −0.0600736 | − | 0.998194i | \(-0.519134\pi\) |
0.894498 | − | 0.447072i | \(-0.147533\pi\) | |||||||
\(662\) | 8.95760 | − | 15.5150i | 0.348147 | − | 0.603008i | ||||
\(663\) | −1.16370 | − | 5.21383i | −0.0451945 | − | 0.202488i | ||||
\(664\) | −17.2221 | − | 29.8296i | −0.668349 | − | 1.15761i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.58383 | − | 1.21387i | 0.100121 | − | 0.0470365i | ||||
\(667\) | −37.0293 | −1.43378 | ||||||||
\(668\) | 1.64428 | + | 2.84798i | 0.0636191 | + | 0.110192i | ||||
\(669\) | −21.4587 | − | 6.73219i | −0.829642 | − | 0.260281i | ||||
\(670\) | −6.01177 | + | 10.4127i | −0.232255 | + | 0.402277i | ||||
\(671\) | −0.185556 | + | 0.321392i | −0.00716331 | + | 0.0124072i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −18.8270 | − | 32.6094i | −0.725729 | − | 1.25700i | −0.958673 | − | 0.284510i | \(-0.908169\pi\) |
0.232944 | − | 0.972490i | \(-0.425164\pi\) | |||||||
\(674\) | 6.38376 | 0.245893 | ||||||||
\(675\) | 5.84369 | − | 14.2809i | 0.224924 | − | 0.549672i | ||||
\(676\) | 8.39238 | 0.322784 | ||||||||
\(677\) | −13.1808 | − | 22.8298i | −0.506580 | − | 0.877422i | −0.999971 | − | 0.00761453i | \(-0.997576\pi\) |
0.493391 | − | 0.869808i | \(-0.335757\pi\) | |||||||
\(678\) | 0.513537 | − | 0.471923i | 0.0197223 | − | 0.0181241i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −1.89871 | + | 3.28866i | −0.0728121 | + | 0.126114i | ||||
\(681\) | −47.8709 | − | 15.0184i | −1.83442 | − | 0.575506i | ||||
\(682\) | −4.14122 | − | 7.17280i | −0.158575 | − | 0.274661i | ||||
\(683\) | −3.93175 | −0.150444 | −0.0752222 | − | 0.997167i | \(-0.523967\pi\) | ||||
−0.0752222 | + | 0.997167i | \(0.523967\pi\) | |||||||
\(684\) | 15.3306 | + | 10.6694i | 0.586179 | + | 0.407953i | ||||
\(685\) | −17.4008 | −0.664850 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −5.82396 | − | 26.0936i | −0.222198 | − | 0.995531i | ||||
\(688\) | −0.750378 | + | 1.29969i | −0.0286079 | + | 0.0495503i | ||||
\(689\) | 1.13002 | − | 1.95725i | 0.0430503 | − | 0.0745653i | ||||
\(690\) | −1.95931 | − | 8.77846i | −0.0745898 | − | 0.334190i | ||||
\(691\) | 9.95052 | + | 17.2348i | 0.378536 | + | 0.655643i | 0.990849 | − | 0.134972i | \(-0.0430944\pi\) |
−0.612314 | + | 0.790615i | \(0.709761\pi\) | |||||||
\(692\) | −28.3585 | −1.07803 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.5373 | −0.475910 | ||||||||
\(695\) | −1.76823 | − | 3.06266i | −0.0670727 | − | 0.116173i | ||||
\(696\) | −26.7911 | − | 8.40511i | −1.01552 | − | 0.318595i | ||||
\(697\) | −0.139270 | + | 0.241223i | −0.00527524 | + | 0.00913699i | ||||
\(698\) | 10.0913 | − | 17.4787i | 0.381963 | − | 0.661579i | ||||
\(699\) | 6.30838 | − | 5.79718i | 0.238605 | − | 0.219270i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 43.7908 | 1.65396 | 0.826979 | − | 0.562234i | \(-0.190058\pi\) | ||||
0.826979 | + | 0.562234i | \(0.190058\pi\) | |||||||
\(702\) | 5.87349 | + | 7.58686i | 0.221681 | + | 0.286348i | ||||
\(703\) | 5.69965 | 0.214966 | ||||||||
\(704\) | 2.11016 | + | 3.65490i | 0.0795295 | + | 0.137749i | ||||
\(705\) | −17.2200 | + | 15.8246i | −0.648542 | + | 0.595988i | ||||
\(706\) | 2.09792 | − | 3.63370i | 0.0789561 | − | 0.136756i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 16.8727 | + | 5.29343i | 0.634115 | + | 0.198939i | ||||
\(709\) | −22.3172 | − | 38.6545i | −0.838139 | − | 1.45170i | −0.891449 | − | 0.453121i | \(-0.850310\pi\) |
0.0533097 | − | 0.998578i | \(-0.483023\pi\) | |||||||
\(710\) | −0.0768875 | −0.00288554 | ||||||||
\(711\) | 5.00947 | − | 2.35342i | 0.187870 | − | 0.0882602i | ||||
\(712\) | −32.1931 | −1.20649 | ||||||||
\(713\) | 6.81163 | + | 11.7981i | 0.255097 | + | 0.441842i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 9.67699 | − | 16.7610i | 0.361899 | − | 0.626827i | ||||
\(716\) | −5.91227 | + | 10.2403i | −0.220952 | + | 0.382700i | ||||
\(717\) | −4.91800 | − | 22.0345i | −0.183666 | − | 0.822894i | ||||
\(718\) | −3.41705 | − | 5.91851i | −0.127523 | − | 0.220877i | ||||
\(719\) | −39.0192 | −1.45517 | −0.727586 | − | 0.686016i | \(-0.759358\pi\) | ||||
−0.727586 | + | 0.686016i | \(0.759358\pi\) | |||||||
\(720\) | −0.542692 | + | 6.41425i | −0.0202249 | + | 0.239045i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0.965081 | + | 1.67157i | 0.0359166 | + | 0.0622094i | ||||
\(723\) | 24.0994 | + | 7.56064i | 0.896267 | + | 0.281183i | ||||
\(724\) | −12.0413 | + | 20.8561i | −0.447510 | + | 0.775109i | ||||
\(725\) | −10.1130 | + | 17.5162i | −0.375586 | + | 0.650534i | ||||
\(726\) | 11.3808 | − | 10.4586i | 0.422381 | − | 0.388153i | ||||
\(727\) | 11.2554 | + | 19.4949i | 0.417439 | + | 0.723025i | 0.995681 | − | 0.0928402i | \(-0.0295946\pi\) |
−0.578242 | + | 0.815865i | \(0.696261\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −6.76407 | + | 26.1390i | −0.250521 | + | 0.968111i | ||||
\(730\) | −10.2119 | −0.377958 | ||||||||
\(731\) | −0.557951 | − | 0.966399i | −0.0206366 | − | 0.0357436i | ||||
\(732\) | 0.148842 | − | 0.136781i | 0.00550137 | − | 0.00505557i | ||||
\(733\) | −0.448519 | + | 0.776858i | −0.0165664 | + | 0.0286939i | −0.874190 | − | 0.485584i | \(-0.838607\pi\) |
0.857623 | + | 0.514278i | \(0.171940\pi\) | |||||||
\(734\) | −9.60441 | + | 16.6353i | −0.354505 | + | 0.614021i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −15.6837 | − | 27.1649i | −0.578108 | − | 1.00131i | ||||
\(737\) | 62.0671 | 2.28627 | ||||||||
\(738\) | 0.0421760 | − | 0.498492i | 0.00155252 | − | 0.0183497i | ||||
\(739\) | −3.58063 | −0.131716 | −0.0658578 | − | 0.997829i | \(-0.520978\pi\) | ||||
−0.0658578 | + | 0.997829i | \(0.520978\pi\) | |||||||
\(740\) | 1.56833 | + | 2.71643i | 0.0576531 | + | 0.0998581i | ||||
\(741\) | 4.17291 | + | 18.6962i | 0.153296 | + | 0.686823i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −24.7964 | + | 42.9486i | −0.909691 | + | 1.57563i | −0.0951977 | + | 0.995458i | \(0.530348\pi\) |
−0.814493 | + | 0.580173i | \(0.802985\pi\) | |||||||
\(744\) | 2.25030 | + | 10.0822i | 0.0825001 | + | 0.369631i | ||||
\(745\) | −6.09583 | − | 10.5583i | −0.223334 | − | 0.386826i | ||||
\(746\) | −10.7745 | −0.394483 | ||||||||
\(747\) | 39.2947 | − | 18.4604i | 1.43772 | − | 0.675432i | ||||
\(748\) | 8.56098 | 0.313020 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −12.5804 | − | 3.94682i | −0.459373 | − | 0.144118i | ||||
\(751\) | 21.4515 | − | 37.1551i | 0.782776 | − | 1.35581i | −0.147543 | − | 0.989056i | \(-0.547136\pi\) |
0.930319 | − | 0.366752i | \(-0.119530\pi\) | |||||||
\(752\) | −7.13450 | + | 12.3573i | −0.260168 | + | 0.450625i | ||||
\(753\) | 17.9458 | − | 16.4916i | 0.653982 | − | 0.600987i | ||||
\(754\) | −6.28835 | − | 10.8917i | −0.229008 | − | 0.396654i | ||||
\(755\) | 25.1633 | 0.915786 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 13.8029 | 0.501677 | 0.250838 | − | 0.968029i | \(-0.419294\pi\) | ||||
0.250838 | + | 0.968029i | \(0.419294\pi\) | |||||||
\(758\) | 0.341510 | + | 0.591513i | 0.0124042 | + | 0.0214847i | ||||
\(759\) | −34.1873 | + | 31.4170i | −1.24092 | + | 1.14036i | ||||
\(760\) | 6.80856 | − | 11.7928i | 0.246972 | − | 0.427769i | ||||
\(761\) | 20.3599 | − | 35.2643i | 0.738044 | − | 1.27833i | −0.215330 | − | 0.976541i | \(-0.569083\pi\) |
0.953375 | − | 0.301789i | \(-0.0975839\pi\) | |||||||
\(762\) | −8.04245 | − | 2.52314i | −0.291347 | − | 0.0914036i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −23.0001 | −0.832113 | ||||||||
\(765\) | −3.92864 | − | 2.73415i | −0.142040 | − | 0.0988534i | ||||
\(766\) | 7.76683 | 0.280627 | ||||||||
\(767\) | 9.06826 | + | 15.7067i | 0.327436 | + | 0.567135i | ||||
\(768\) | −3.41926 | − | 15.3196i | −0.123382 | − | 0.552798i | ||||
\(769\) | −5.57381 | + | 9.65413i | −0.200997 | + | 0.348137i | −0.948850 | − | 0.315728i | \(-0.897751\pi\) |
0.747853 | + | 0.663864i | \(0.231085\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.15506 | + | 14.1359i | 0.113627 | + | 0.509090i | ||||
\(772\) | 12.8454 | + | 22.2489i | 0.462317 | + | 0.800756i | ||||
\(773\) | −0.925662 | −0.0332937 | −0.0166469 | − | 0.999861i | \(-0.505299\pi\) | ||||
−0.0166469 | + | 0.999861i | \(0.505299\pi\) | |||||||
\(774\) | 1.64504 | + | 1.14487i | 0.0591297 | + | 0.0411515i | ||||
\(775\) | 7.44121 | 0.267296 | ||||||||
\(776\) | 6.43012 | + | 11.1373i | 0.230828 | + | 0.399806i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.97049 | + | 10.3412i | −0.214052 | + | 0.370750i | ||||
\(779\) | 0.499408 | − | 0.865001i | 0.0178932 | − | 0.0309919i | ||||
\(780\) | −7.76232 | + | 7.13331i | −0.277936 | + | 0.255413i | ||||
\(781\) | 0.198452 | + | 0.343728i | 0.00710116 | + | 0.0122996i | ||||
\(782\) | 4.08049 | 0.145918 | ||||||||
\(783\) | 13.4033 | − | 32.7553i | 0.478996 | − | 1.17058i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −4.50386 | − | 7.80092i | −0.160750 | − | 0.278427i | ||||
\(786\) | 17.4851 | − | 16.0682i | 0.623673 | − | 0.573134i | ||||
\(787\) | 11.5120 | − | 19.9393i | 0.410358 | − | 0.710761i | −0.584571 | − | 0.811343i | \(-0.698737\pi\) |
0.994929 | + | 0.100582i | \(0.0320704\pi\) | |||||||
\(788\) | −3.13030 | + | 5.42184i | −0.111512 | + | 0.193145i | ||||
\(789\) | −5.40519 | − | 1.69575i | −0.192430 | − | 0.0603705i | ||||
\(790\) | −0.881115 | − | 1.52614i | −0.0313487 | − | 0.0542975i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −31.8661 | + | 14.9705i | −1.13231 | + | 0.531955i | ||||
\(793\) | 0.207324 | 0.00736228 | ||||||||
\(794\) | 4.38551 | + | 7.59592i | 0.155636 | + | 0.269569i | ||||
\(795\) | −0.441105 | − | 1.97631i | −0.0156444 | − | 0.0700927i | ||||
\(796\) | −19.6014 | + | 33.9505i | −0.694752 | + | 1.20335i | ||||
\(797\) | −11.3925 | + | 19.7325i | −0.403544 | + | 0.698960i | −0.994151 | − | 0.108000i | \(-0.965555\pi\) |
0.590606 | + | 0.806960i | \(0.298889\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.30492 | − | 9.18839i | −0.187675 | − | 0.325062i | ||||
\(800\) | −17.1333 | −0.605753 | ||||||||
\(801\) | 3.42093 | − | 40.4331i | 0.120873 | − | 1.42863i | ||||
\(802\) | 9.45390 | 0.333829 | ||||||||
\(803\) | 26.3575 | + | 45.6525i | 0.930135 | + | 1.61104i | ||||
\(804\) | −32.2579 | − | 10.1202i | −1.13765 | − | 0.356912i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −2.31352 | + | 4.00713i | −0.0814901 | + | 0.141145i | ||||
\(807\) | −19.6234 | + | 18.0333i | −0.690778 | + | 0.634801i | ||||
\(808\) | 6.11143 | + | 10.5853i | 0.214999 | + | 0.372390i | ||||
\(809\) | −13.4751 | −0.473758 | −0.236879 | − | 0.971539i | \(-0.576124\pi\) | ||||
−0.236879 | + | 0.971539i | \(0.576124\pi\) | |||||||
\(810\) | 8.47444 | + | 1.44434i | 0.297761 | + | 0.0507488i | ||||
\(811\) | 30.7348 | 1.07924 | 0.539622 | − | 0.841907i | \(-0.318567\pi\) | ||||
0.539622 | + | 0.841907i | \(0.318567\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 10.3635 | − | 9.52372i | 0.363465 | − | 0.334011i | ||||
\(814\) | −2.34603 | + | 4.06344i | −0.0822283 | + | 0.142424i | ||||
\(815\) | 5.71590 | − | 9.90023i | 0.200219 | − | 0.346790i | ||||
\(816\) | −2.78642 | − | 0.874176i | −0.0975442 | − | 0.0306023i | ||||
\(817\) | 2.00075 | + | 3.46540i | 0.0699974 | + | 0.121239i | ||||
\(818\) | 1.77369 | 0.0620158 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.549675 | 0.0191955 | ||||||||
\(821\) | 8.49319 | + | 14.7106i | 0.296414 | + | 0.513405i | 0.975313 | − | 0.220827i | \(-0.0708757\pi\) |
−0.678899 | + | 0.734232i | \(0.737542\pi\) | |||||||
\(822\) | 3.08854 | + | 13.8378i | 0.107725 | + | 0.482650i | ||||
\(823\) | 9.29157 | − | 16.0935i | 0.323884 | − | 0.560983i | −0.657402 | − | 0.753540i | \(-0.728345\pi\) |
0.981286 | + | 0.192557i | \(0.0616780\pi\) | |||||||
\(824\) | 16.9122 | − | 29.2928i | 0.589164 | − | 1.02046i | ||||
\(825\) | 5.52453 | + | 24.7520i | 0.192340 | + | 0.861754i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 14.5419 | 0.505670 | 0.252835 | − | 0.967509i | \(-0.418637\pi\) | ||||
0.252835 | + | 0.967509i | \(0.418637\pi\) | |||||||
\(828\) | 22.8907 | − | 10.7539i | 0.795506 | − | 0.373724i | ||||
\(829\) | 9.57433 | 0.332530 | 0.166265 | − | 0.986081i | \(-0.446829\pi\) | ||||
0.166265 | + | 0.986081i | \(0.446829\pi\) | |||||||
\(830\) | −6.91154 | − | 11.9711i | −0.239903 | − | 0.415524i | ||||
\(831\) | −21.2293 | − | 6.66019i | −0.736435 | − | 0.231040i | ||||
\(832\) | 1.17885 | − | 2.04183i | 0.0408693 | − | 0.0707877i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −2.12170 | + | 1.94977i | −0.0734685 | + | 0.0675150i | ||||
\(835\) | 1.51097 | + | 2.61708i | 0.0522894 | + | 0.0905678i | ||||
\(836\) | −30.6987 | −1.06174 | ||||||||
\(837\) | −12.9019 | + | 1.75491i | −0.445955 | + | 0.0606587i | ||||
\(838\) | 22.4651 | 0.776045 | ||||||||
\(839\) | −21.2303 | − | 36.7720i | −0.732952 | − | 1.26951i | −0.955616 | − | 0.294615i | \(-0.904809\pi\) |
0.222664 | − | 0.974895i | \(-0.428525\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.69551 | + | 15.0611i | −0.299845 | + | 0.519347i | ||||
\(842\) | −1.62187 | + | 2.80917i | −0.0558934 | + | 0.0968103i | ||||
\(843\) | −2.39328 | − | 0.750836i | −0.0824288 | − | 0.0258602i | ||||
\(844\) | 5.83428 | + | 10.1053i | 0.200824 | + | 0.347838i | ||||
\(845\) | 7.71198 | 0.265300 | ||||||||
\(846\) | 15.6408 | + | 10.8853i | 0.537742 | + | 0.374243i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −0.617738 | − | 1.06995i | −0.0212132 | − | 0.0367423i | ||||
\(849\) | 6.57959 | + | 29.4791i | 0.225811 | + | 1.01172i | ||||
\(850\) | 1.11441 | − | 1.93021i | 0.0382239 | − | 0.0662058i | ||||
\(851\) | 3.85883 | − | 6.68370i | 0.132279 | − | 0.229114i | ||||
\(852\) | −0.0470949 | − | 0.211003i | −0.00161344 | − | 0.00722884i | ||||
\(853\) | −7.14039 | − | 12.3675i | −0.244482 | − | 0.423456i | 0.717504 | − | 0.696555i | \(-0.245285\pi\) |
−0.961986 | + | 0.273099i | \(0.911951\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 14.0877 | + | 9.80436i | 0.481788 | + | 0.335302i | ||||
\(856\) | 18.2324 | 0.623171 | ||||||||
\(857\) | 17.3895 | + | 30.1195i | 0.594013 | + | 1.02886i | 0.993685 | + | 0.112203i | \(0.0357907\pi\) |
−0.399672 | + | 0.916658i | \(0.630876\pi\) | |||||||
\(858\) | −15.0467 | − | 4.72055i | −0.513685 | − | 0.161157i | ||||
\(859\) | −6.32429 | + | 10.9540i | −0.215782 | + | 0.373745i | −0.953514 | − | 0.301348i | \(-0.902563\pi\) |
0.737732 | + | 0.675093i | \(0.235897\pi\) | |||||||
\(860\) | −1.10107 | + | 1.90710i | −0.0375460 | + | 0.0650316i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 11.8409 | + | 20.5091i | 0.403304 | + | 0.698543i | ||||
\(863\) | −26.4797 | −0.901379 | −0.450690 | − | 0.892681i | \(-0.648822\pi\) | ||||
−0.450690 | + | 0.892681i | \(0.648822\pi\) | |||||||
\(864\) | 29.7064 | − | 4.04066i | 1.01063 | − | 0.137466i | ||||
\(865\) | −26.0594 | −0.886045 | ||||||||
\(866\) | 1.83471 | + | 3.17782i | 0.0623461 | + | 0.107987i | ||||
\(867\) | −20.0817 | + | 18.4544i | −0.682011 | + | 0.626744i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −4.54843 | + | 7.87811i | −0.154295 | + | 0.267247i | ||||
\(870\) | −10.7517 | − | 3.37311i | −0.364518 | − | 0.114359i | ||||
\(871\) | −17.3371 | − | 30.0287i | −0.587444 | − | 1.01748i | ||||
\(872\) | −4.04332 | −0.136924 | ||||||||
\(873\) | −14.6712 | + | 6.89246i | −0.496545 | + | 0.233274i | ||||
\(874\) | −14.6322 | −0.494941 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −6.25494 | − | 28.0245i | −0.211335 | − | 0.946860i | ||||
\(877\) | −14.2267 | + | 24.6414i | −0.480402 | + | 0.832081i | −0.999747 | − | 0.0224835i | \(-0.992843\pi\) |
0.519345 | + | 0.854565i | \(0.326176\pi\) | |||||||
\(878\) | 2.14443 | − | 3.71427i | 0.0723711 | − | 0.125350i | ||||
\(879\) | −0.679181 | − | 3.04299i | −0.0229082 | − | 0.102637i | ||||
\(880\) | −5.29004 | − | 9.16261i | −0.178327 | − | 0.308872i | ||||
\(881\) | 20.3637 | 0.686071 | 0.343036 | − | 0.939322i | \(-0.388545\pi\) | ||||
0.343036 | + | 0.939322i | \(0.388545\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 49.1950 | 1.65554 | 0.827772 | − | 0.561065i | \(-0.189608\pi\) | ||||
0.827772 | + | 0.561065i | \(0.189608\pi\) | |||||||
\(884\) | −2.39132 | − | 4.14189i | −0.0804288 | − | 0.139307i | ||||
\(885\) | 15.5048 | + | 4.86427i | 0.521188 | + | 0.163511i | ||||
\(886\) | 2.14065 | − | 3.70771i | 0.0719164 | − | 0.124563i | ||||
\(887\) | −2.10846 | + | 3.65196i | −0.0707952 | + | 0.122621i | −0.899250 | − | 0.437435i | \(-0.855887\pi\) |
0.828455 | + | 0.560056i | \(0.189220\pi\) | |||||||
\(888\) | 4.30902 | − | 3.95984i | 0.144601 | − | 0.132883i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −12.9196 | −0.433067 | ||||||||
\(891\) | −15.4161 | − | 41.6132i | −0.516459 | − | 1.39409i | ||||
\(892\) | −20.1346 | −0.674157 | ||||||||
\(893\) | 19.0229 | + | 32.9486i | 0.636576 | + | 1.10258i | ||||
\(894\) | −7.31441 | + | 6.72169i | −0.244630 | + | 0.224807i | ||||
\(895\) | −5.43294 | + | 9.41013i | −0.181603 | + | 0.314546i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 24.7493 | + | 7.76453i | 0.826355 | + | 0.259250i | ||||
\(898\) | 3.93685 | + | 6.81883i | 0.131375 | + | 0.227547i | ||||
\(899\) | 17.0675 | 0.569233 | ||||||||
\(900\) | 1.16462 | − | 13.7651i | 0.0388208 | − | 0.458836i | ||||
\(901\) | 0.918649 | 0.0306046 | ||||||||
\(902\) | 0.411122 | + | 0.712084i | 0.0136889 | + | 0.0237098i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.714872 | − | 1.23819i | 0.0237763 | − | 0.0411817i | ||||
\(905\) | −11.0650 | + | 19.1652i | −0.367814 | + | 0.637072i | ||||
\(906\) | −4.46634 | − | 20.0109i | −0.148384 | − | 0.664817i | ||||
\(907\) | −23.9925 | − | 41.5563i | −0.796659 | − | 1.37985i | −0.921780 | − | 0.387713i | \(-0.873265\pi\) |
0.125121 | − | 0.992142i | \(-0.460068\pi\) | |||||||
\(908\) | −44.9170 | −1.49062 | ||||||||
\(909\) | −13.9441 | + | 6.55085i | −0.462496 | + | 0.217278i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −12.8667 | − | 22.2858i | −0.426294 | − | 0.738362i | 0.570247 | − | 0.821474i | \(-0.306848\pi\) |
−0.996540 | + | 0.0831113i | \(0.973514\pi\) | |||||||
\(912\) | 9.99180 | + | 3.13470i | 0.330862 | + | 0.103800i | ||||
\(913\) | −35.6782 | + | 61.7965i | −1.18078 | + | 2.04517i | ||||
\(914\) | −3.52675 | + | 6.10852i | −0.116655 | + | 0.202052i | ||||
\(915\) | 0.136775 | − | 0.125692i | 0.00452165 | − | 0.00415524i | ||||
\(916\) | −11.9678 | − | 20.7288i | −0.395427 | − | 0.684900i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −1.47700 | + | 3.60951i | −0.0487482 | + | 0.119132i | ||||
\(919\) | −2.26957 | −0.0748661 | −0.0374330 | − | 0.999299i | \(-0.511918\pi\) | ||||
−0.0374330 | + | 0.999299i | \(0.511918\pi\) | |||||||
\(920\) | −9.21919 | − | 15.9681i | −0.303948 | − | 0.526453i | ||||
\(921\) | −1.35794 | + | 1.24790i | −0.0447455 | + | 0.0411196i | ||||
\(922\) | 2.37484 | − | 4.11334i | 0.0782111 | − | 0.135466i | ||||
\(923\) | 0.110866 | − | 0.192026i | 0.00364920 | − | 0.00632060i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.10775 | − | 3.65073i | −0.0693024 | − | 0.120035i | ||||
\(926\) | −21.9548 | −0.721479 | ||||||||
\(927\) | 34.9933 | + | 24.3537i | 1.14933 | + | 0.799880i | ||||
\(928\) | −39.2976 | −1.29001 | ||||||||
\(929\) | 22.9248 | + | 39.7069i | 0.752138 | + | 1.30274i | 0.946785 | + | 0.321868i | \(0.104311\pi\) |
−0.194647 | + | 0.980873i | \(0.562356\pi\) | |||||||
\(930\) | 0.903084 | + | 4.04616i | 0.0296133 | + | 0.132679i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.83514 | − | 6.64266i | 0.125624 | − | 0.217587i | ||||
\(933\) | 6.38745 | + | 28.6182i | 0.209116 | + | 0.936917i | ||||
\(934\) | −1.31530 | − | 2.27816i | −0.0430379 | − | 0.0745438i | ||||
\(935\) | 7.86691 | 0.257275 | ||||||||
\(936\) | 16.1440 | + | 11.2355i | 0.527683 | + | 0.367243i | ||||
\(937\) | 56.2075 | 1.83622 | 0.918110 | − | 0.396325i | \(-0.129715\pi\) | ||||
0.918110 | + | 0.396325i | \(0.129715\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −13.6814 | − | 4.29222i | −0.446475 | − | 0.140071i | ||||
\(940\) | −10.4688 | + | 18.1325i | −0.341454 | + | 0.591416i | ||||
\(941\) | −17.6402 | + | 30.5536i | −0.575053 | + | 0.996020i | 0.420983 | + | 0.907068i | \(0.361685\pi\) |
−0.996036 | + | 0.0889519i | \(0.971648\pi\) | |||||||
\(942\) | −5.40420 | + | 4.96627i | −0.176078 | + | 0.161810i | ||||
\(943\) | −0.676229 | − | 1.17126i | −0.0220210 | − | 0.0381415i | ||||
\(944\) | 9.91453 | 0.322691 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.29411 | −0.107101 | ||||||||
\(947\) | 25.3565 | + | 43.9188i | 0.823976 | + | 1.42717i | 0.902699 | + | 0.430272i | \(0.141582\pi\) |
−0.0787236 | + | 0.996896i | \(0.525084\pi\) | |||||||
\(948\) | 3.64849 | − | 3.35283i | 0.118497 | − | 0.108895i | ||||
\(949\) | 14.7248 | − | 25.5040i | 0.477986 | − | 0.827896i | ||||
\(950\) | −3.99615 | + | 6.92154i | −0.129652 | + | 0.224564i | ||||
\(951\) | −10.8204 | − | 3.39467i | −0.350877 | − | 0.110080i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 25.9988 | 0.842184 | 0.421092 | − | 0.907018i | \(-0.361647\pi\) | ||||
0.421092 | + | 0.907018i | \(0.361647\pi\) | |||||||
\(954\) | −1.49335 | + | 0.701569i | −0.0483491 | + | 0.0227141i | ||||
\(955\) | −21.1354 | −0.683924 | ||||||||
\(956\) | −10.1061 | − | 17.5043i | −0.326855 | − | 0.566130i | ||||
\(957\) | 12.6713 | + | 56.7722i | 0.409605 | + | 1.83519i | ||||
\(958\) | 5.39165 | − | 9.33861i | 0.174196 | − | 0.301717i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −0.460166 | − | 2.06172i | −0.0148518 | − | 0.0665417i | ||||
\(961\) | 12.3604 | + | 21.4088i | 0.398722 | + | 0.690607i | ||||
\(962\) | 2.62125 | 0.0845123 | ||||||||
\(963\) | −1.93743 | + | 22.8991i | −0.0624327 | + | 0.737912i | ||||
\(964\) | 22.6124 | 0.728295 | ||||||||
\(965\) | 11.8040 | + | 20.4451i | 0.379984 | + | 0.658152i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.9810 | + | 22.4838i | −0.417442 | + | 0.723031i | −0.995681 | − | 0.0928360i | \(-0.970407\pi\) |
0.578239 | + | 0.815867i | \(0.303740\pi\) | |||||||
\(968\) | 15.8427 | − | 27.4404i | 0.509204 | − | 0.881967i | ||||
\(969\) | −5.73331 | + | 5.26871i | −0.184180 | + | 0.169255i | ||||
\(970\) | 2.58052 | + | 4.46959i | 0.0828554 | + | 0.143510i | ||||
\(971\) | −7.94412 | −0.254939 | −0.127469 | − | 0.991843i | \(-0.540685\pi\) | ||||
−0.127469 | + | 0.991843i | \(0.540685\pi\) | |||||||
\(972\) | 1.22703 | + | 24.1411i | 0.0393572 | + | 0.774327i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −1.17424 | − | 2.03384i | −0.0376249 | − | 0.0651683i | ||||
\(975\) | 10.4321 | − | 9.58675i | 0.334095 | − | 0.307022i | ||||
\(976\) | 0.0566680 | − | 0.0981518i | 0.00181390 | − | 0.00314176i | ||||
\(977\) | 26.1274 | − | 45.2540i | 0.835889 | − | 1.44780i | −0.0574149 | − | 0.998350i | \(-0.518286\pi\) |
0.893304 | − | 0.449452i | \(-0.148381\pi\) | |||||||
\(978\) | −8.88761 | − | 2.78828i | −0.284194 | − | 0.0891595i | ||||
\(979\) | 33.3464 | + | 57.7577i | 1.06576 | + | 1.84594i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.429654 | − | 5.07822i | 0.0137178 | − | 0.162135i | ||||
\(982\) | 27.5569 | 0.879376 | ||||||||
\(983\) | −19.4190 | − | 33.6346i | −0.619369 | − | 1.07278i | −0.989601 | − | 0.143839i | \(-0.954055\pi\) |
0.370232 | − | 0.928939i | \(-0.379278\pi\) | |||||||
\(984\) | −0.223400 | − | 1.00092i | −0.00712174 | − | 0.0319081i | ||||
\(985\) | −2.87652 | + | 4.98228i | −0.0916535 | + | 0.158749i | ||||
\(986\) | 2.55606 | − | 4.42722i | 0.0814015 | − | 0.140991i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.57501 | + | 14.8524i | 0.272807 | + | 0.472516i | ||||
\(989\) | 5.41827 | 0.172291 | ||||||||
\(990\) | −12.7884 | + | 6.00793i | −0.406443 | + | 0.190944i | ||||
\(991\) | 30.9378 | 0.982771 | 0.491385 | − | 0.870942i | \(-0.336491\pi\) | ||||
0.491385 | + | 0.870942i | \(0.336491\pi\) | |||||||
\(992\) | 7.22890 | + | 12.5208i | 0.229518 | + | 0.397536i | ||||
\(993\) | 44.1679 | + | 13.8567i | 1.40163 | + | 0.439728i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −18.0122 | + | 31.1981i | −0.571025 | + | 0.989045i | ||||
\(996\) | 28.6190 | − | 26.2999i | 0.906829 | − | 0.833344i | ||||
\(997\) | 23.5335 | + | 40.7612i | 0.745313 | + | 1.29092i | 0.950048 | + | 0.312103i | \(0.101033\pi\) |
−0.204735 | + | 0.978817i | \(0.565633\pi\) | |||||||
\(998\) | 7.92985 | 0.251015 | ||||||||
\(999\) | 4.51549 | + | 5.83271i | 0.142864 | + | 0.184539i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))