Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(143,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.ba (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 189) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 143.19 | ||
Character | \(\chi\) | \(=\) | 567.143 |
Dual form | 567.2.ba.a.341.19 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.22264 | − | 1.45709i | 0.864540 | − | 1.03032i | −0.134682 | − | 0.990889i | \(-0.543001\pi\) |
0.999222 | − | 0.0394303i | \(-0.0125543\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.280959 | − | 1.59339i | −0.140479 | − | 0.796697i | ||||
\(5\) | 0.691544 | − | 0.580274i | 0.309268 | − | 0.259506i | −0.474922 | − | 0.880028i | \(-0.657524\pi\) |
0.784189 | + | 0.620522i | \(0.213079\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.448602 | + | 2.60744i | −0.169556 | + | 0.985521i | ||||
\(8\) | 0.629295 | + | 0.363324i | 0.222489 | + | 0.128454i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 1.71711i | − | 0.542998i | ||||||
\(11\) | 2.24705 | − | 2.67793i | 0.677512 | − | 0.807427i | −0.312274 | − | 0.949992i | \(-0.601091\pi\) |
0.989785 | + | 0.142565i | \(0.0455350\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.35464 | − | 3.72184i | 0.375709 | − | 1.03225i | −0.597407 | − | 0.801938i | \(-0.703802\pi\) |
0.973116 | − | 0.230315i | \(-0.0739755\pi\) | |||||||
\(14\) | 3.25080 | + | 3.84163i | 0.868813 | + | 1.02672i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.33960 | − | 1.57949i | 1.08490 | − | 0.394871i | ||||
\(17\) | 0.467865 | 0.113474 | 0.0567369 | − | 0.998389i | \(-0.481930\pi\) | ||||
0.0567369 | + | 0.998389i | \(0.481930\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 3.62874i | − | 0.832490i | −0.909252 | − | 0.416245i | \(-0.863346\pi\) | ||
0.909252 | − | 0.416245i | \(-0.136654\pi\) | |||||||
\(20\) | −1.11890 | − | 0.938869i | −0.250194 | − | 0.209938i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.15465 | − | 6.54832i | −0.246171 | − | 1.39611i | ||||
\(23\) | 1.19589 | − | 3.28569i | 0.249361 | − | 0.685114i | −0.750349 | − | 0.661042i | \(-0.770115\pi\) |
0.999710 | − | 0.0240721i | \(-0.00766312\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.726726 | + | 4.12147i | −0.145345 | + | 0.824294i | ||||
\(26\) | −3.76682 | − | 6.52432i | −0.738734 | − | 1.27953i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.28072 | − | 0.0177830i | 0.808981 | − | 0.00336068i | ||||
\(29\) | 1.79273 | + | 4.92550i | 0.332902 | + | 0.914642i | 0.987353 | + | 0.158537i | \(0.0506777\pi\) |
−0.654451 | + | 0.756105i | \(0.727100\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.86071 | + | 1.20973i | −1.23222 | + | 0.217274i | −0.751579 | − | 0.659644i | \(-0.770707\pi\) |
−0.480641 | + | 0.876917i | \(0.659596\pi\) | |||||||
\(32\) | 2.50728 | − | 6.88869i | 0.443229 | − | 1.21776i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.572032 | − | 0.681722i | 0.0981027 | − | 0.116914i | ||||
\(35\) | 1.20280 | + | 2.06347i | 0.203311 | + | 0.348790i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.92689 | + | 8.53362i | −0.809975 | + | 1.40292i | 0.102905 | + | 0.994691i | \(0.467186\pi\) |
−0.912881 | + | 0.408227i | \(0.866147\pi\) | |||||||
\(38\) | −5.28741 | − | 4.43666i | −0.857731 | − | 0.719721i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.646012 | − | 0.113909i | 0.102144 | − | 0.0180107i | ||||
\(41\) | 2.71326 | + | 0.987547i | 0.423741 | + | 0.154229i | 0.545084 | − | 0.838382i | \(-0.316498\pi\) |
−0.121343 | + | 0.992611i | \(0.538720\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.54504 | + | 8.76238i | −0.235617 | + | 1.33625i | 0.605693 | + | 0.795698i | \(0.292896\pi\) |
−0.841310 | + | 0.540553i | \(0.818215\pi\) | |||||||
\(44\) | −4.89833 | − | 2.82805i | −0.738452 | − | 0.426345i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.32540 | − | 5.75976i | −0.490303 | − | 0.849230i | ||||
\(47\) | 0.579339 | − | 3.28560i | 0.0845053 | − | 0.479253i | −0.912957 | − | 0.408056i | \(-0.866207\pi\) |
0.997462 | − | 0.0711975i | \(-0.0226821\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.59751 | − | 2.33941i | −0.942502 | − | 0.334201i | ||||
\(50\) | 5.11683 | + | 6.09800i | 0.723629 | + | 0.862387i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −6.31096 | − | 1.11279i | −0.875173 | − | 0.154317i | ||||
\(53\) | −8.75304 | − | 5.05357i | −1.20232 | − | 0.694161i | −0.241251 | − | 0.970463i | \(-0.577558\pi\) |
−0.961071 | + | 0.276302i | \(0.910891\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 3.15581i | − | 0.425530i | ||||||
\(56\) | −1.22965 | + | 1.47786i | −0.164319 | + | 0.197488i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 9.36878 | + | 3.40996i | 1.23018 | + | 0.447749i | ||||
\(59\) | 3.04590 | + | 1.10862i | 0.396543 | + | 0.144330i | 0.532592 | − | 0.846372i | \(-0.321218\pi\) |
−0.136049 | + | 0.990702i | \(0.543440\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.0601824 | + | 0.0106118i | 0.00770557 | + | 0.00135870i | 0.177500 | − | 0.984121i | \(-0.443199\pi\) |
−0.169794 | + | 0.985480i | \(0.554310\pi\) | |||||||
\(62\) | −6.62553 | + | 11.4757i | −0.841443 | + | 1.45742i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.35384 | − | 4.07697i | −0.294230 | − | 0.509621i | ||||
\(65\) | −1.22290 | − | 3.35988i | −0.151681 | − | 0.416741i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.85348 | − | 6.58985i | 0.959455 | − | 0.805078i | −0.0214094 | − | 0.999771i | \(-0.506815\pi\) |
0.980864 | + | 0.194693i | \(0.0623709\pi\) | |||||||
\(68\) | −0.131451 | − | 0.745493i | −0.0159407 | − | 0.0904043i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 4.47727 | + | 0.770299i | 0.535136 | + | 0.0920684i | ||||
\(71\) | 2.19935 | − | 1.26979i | 0.261014 | − | 0.150697i | −0.363783 | − | 0.931484i | \(-0.618515\pi\) |
0.624797 | + | 0.780787i | \(0.285182\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.24870 | + | 4.18504i | −0.848396 | + | 0.489822i | −0.860109 | − | 0.510110i | \(-0.829605\pi\) |
0.0117134 | + | 0.999931i | \(0.496271\pi\) | |||||||
\(74\) | 6.41043 | + | 17.6125i | 0.745197 | + | 2.04741i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.78202 | + | 1.01953i | −0.663243 | + | 0.116948i | ||||
\(77\) | 5.97452 | + | 7.06039i | 0.680860 | + | 0.804606i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.23876 | + | 6.07404i | 0.814424 | + | 0.683383i | 0.951659 | − | 0.307156i | \(-0.0993773\pi\) |
−0.137236 | + | 0.990538i | \(0.543822\pi\) | |||||||
\(80\) | 2.08449 | − | 3.61044i | 0.233053 | − | 0.403659i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.75630 | − | 2.74605i | 0.525246 | − | 0.303251i | ||||
\(83\) | −10.6153 | + | 3.86367i | −1.16518 | + | 0.424092i | −0.850947 | − | 0.525252i | \(-0.823971\pi\) |
−0.314237 | + | 0.949344i | \(0.601749\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.323549 | − | 0.271490i | 0.0350938 | − | 0.0294472i | ||||
\(86\) | 10.8786 | + | 12.9646i | 1.17306 | + | 1.39800i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.38702 | − | 0.868803i | 0.254457 | − | 0.0926147i | ||||
\(89\) | 3.03736 | 0.321959 | 0.160980 | − | 0.986958i | \(-0.448535\pi\) | ||||
0.160980 | + | 0.986958i | \(0.448535\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.09679 | + | 5.20177i | 0.953603 | + | 0.545294i | ||||
\(92\) | −5.57140 | − | 0.982388i | −0.580858 | − | 0.102421i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −4.07909 | − | 4.86127i | −0.420726 | − | 0.501401i | ||||
\(95\) | −2.10566 | − | 2.50943i | −0.216036 | − | 0.257462i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.02929 | − | 0.886800i | −0.510647 | − | 0.0900409i | −0.0876131 | − | 0.996155i | \(-0.527924\pi\) |
−0.423034 | + | 0.906114i | \(0.639035\pi\) | |||||||
\(98\) | −11.4751 | + | 6.75291i | −1.15916 | + | 0.682147i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.77131 | 0.677131 | ||||||||
\(101\) | −12.6062 | + | 4.58829i | −1.25436 | + | 0.456552i | −0.881874 | − | 0.471484i | \(-0.843718\pi\) |
−0.372491 | + | 0.928036i | \(0.621496\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.69011 | − | 11.5482i | −0.954795 | − | 1.13788i | −0.990361 | − | 0.138513i | \(-0.955768\pi\) |
0.0355656 | − | 0.999367i | \(-0.488677\pi\) | |||||||
\(104\) | 2.20470 | − | 1.84996i | 0.216189 | − | 0.181404i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −18.0654 | + | 6.57525i | −1.75466 | + | 0.638645i | ||||
\(107\) | 12.8332 | − | 7.40924i | 1.24063 | − | 0.716278i | 0.271407 | − | 0.962465i | \(-0.412511\pi\) |
0.969222 | + | 0.246187i | \(0.0791777\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.48332 | + | 2.56918i | −0.142076 | + | 0.246083i | −0.928278 | − | 0.371886i | \(-0.878711\pi\) |
0.786202 | + | 0.617969i | \(0.212044\pi\) | |||||||
\(110\) | −4.59831 | − | 3.85844i | −0.438431 | − | 0.367888i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.17166 | + | 12.0238i | 0.205203 | + | 1.13614i | ||||
\(113\) | −12.0005 | + | 2.11601i | −1.12891 | + | 0.199058i | −0.706751 | − | 0.707463i | \(-0.749840\pi\) |
−0.422162 | + | 0.906520i | \(0.638729\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.07959 | − | 2.96614i | −0.100672 | − | 0.276594i | ||||
\(116\) | 7.34458 | − | 4.24039i | 0.681927 | − | 0.393711i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.33942 | − | 3.08271i | 0.491533 | − | 0.283787i | ||||
\(119\) | −0.209885 | + | 1.21993i | −0.0192401 | + | 0.111831i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.211950 | − | 1.20203i | −0.0192682 | − | 0.109275i | ||||
\(122\) | 0.0890440 | − | 0.0747168i | 0.00806167 | − | 0.00676454i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.85515 | + | 10.5919i | 0.346203 | + | 0.951184i | ||||
\(125\) | 4.14588 | + | 7.18088i | 0.370819 | + | 0.642277i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.12812 | + | 7.15011i | −0.366311 | + | 0.634469i | −0.988986 | − | 0.148012i | \(-0.952713\pi\) |
0.622675 | + | 0.782481i | \(0.286046\pi\) | |||||||
\(128\) | 5.62043 | + | 0.991033i | 0.496780 | + | 0.0875958i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −6.39081 | − | 2.32607i | −0.560511 | − | 0.204009i | ||||
\(131\) | −19.4938 | − | 7.09515i | −1.70318 | − | 0.619906i | −0.706996 | − | 0.707217i | \(-0.749950\pi\) |
−0.996181 | + | 0.0873113i | \(0.972173\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 9.46173 | + | 1.62786i | 0.820436 | + | 0.141153i | ||||
\(134\) | − | 19.5003i | − | 1.68457i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.294425 | + | 0.169986i | 0.0252467 | + | 0.0145762i | ||||
\(137\) | 12.0168 | + | 2.11888i | 1.02666 | + | 0.181028i | 0.661522 | − | 0.749925i | \(-0.269911\pi\) |
0.365138 | + | 0.930953i | \(0.381022\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 11.5620 | + | 13.7791i | 0.980677 | + | 1.16873i | 0.985661 | + | 0.168738i | \(0.0539691\pi\) |
−0.00498385 | + | 0.999988i | \(0.501586\pi\) | |||||||
\(140\) | 2.94999 | − | 2.49629i | 0.249319 | − | 0.210975i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.838815 | − | 4.75716i | 0.0703918 | − | 0.399212i | ||||
\(143\) | −6.92290 | − | 11.9908i | −0.578922 | − | 1.00272i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.09789 | + | 2.36592i | 0.340311 | + | 0.196479i | ||||
\(146\) | −2.76460 | + | 15.6788i | −0.228800 | + | 1.29759i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 14.9817 | + | 5.45288i | 1.23149 | + | 0.448224i | ||||
\(149\) | −11.0919 | + | 1.95580i | −0.908685 | + | 0.160226i | −0.608406 | − | 0.793626i | \(-0.708191\pi\) |
−0.300279 | + | 0.953852i | \(0.597080\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.66440 | − | 3.91390i | −0.379583 | − | 0.318508i | 0.432955 | − | 0.901415i | \(-0.357471\pi\) |
−0.812539 | + | 0.582907i | \(0.801915\pi\) | |||||||
\(152\) | 1.31841 | − | 2.28355i | 0.106937 | − | 0.185220i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 17.5924 | − | 0.0730824i | 1.41763 | − | 0.00588915i | ||||
\(155\) | −4.04251 | + | 4.81767i | −0.324702 | + | 0.386965i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.63498 | + | 4.49206i | −0.130485 | + | 0.358505i | −0.987680 | − | 0.156487i | \(-0.949983\pi\) |
0.857195 | + | 0.514992i | \(0.172205\pi\) | |||||||
\(158\) | 17.7009 | − | 3.12114i | 1.40820 | − | 0.248304i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.26344 | − | 6.21874i | −0.178940 | − | 0.491635i | ||||
\(161\) | 8.03077 | + | 4.59219i | 0.632913 | + | 0.361915i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.98040 | + | 6.89426i | 0.311769 | + | 0.540000i | 0.978745 | − | 0.205079i | \(-0.0657451\pi\) |
−0.666976 | + | 0.745079i | \(0.732412\pi\) | |||||||
\(164\) | 0.811238 | − | 4.60076i | 0.0633471 | − | 0.359259i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.34907 | + | 20.1914i | −0.570398 | + | 1.56716i | ||||
\(167\) | −3.90196 | − | 22.1291i | −0.301943 | − | 1.71240i | −0.637556 | − | 0.770404i | \(-0.720055\pi\) |
0.335613 | − | 0.942000i | \(-0.391057\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.05848 | − | 1.72727i | −0.158344 | − | 0.132867i | ||||
\(170\) | − | 0.803376i | − | 0.0616161i | ||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 14.3960 | 1.09769 | ||||||||
\(173\) | −7.27776 | + | 2.64889i | −0.553317 | + | 0.201391i | −0.603520 | − | 0.797348i | \(-0.706236\pi\) |
0.0502024 | + | 0.998739i | \(0.484013\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −10.4205 | − | 3.74380i | −0.787715 | − | 0.283004i | ||||
\(176\) | 5.52155 | − | 15.1703i | 0.416203 | − | 1.14351i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.71361 | − | 4.42571i | 0.278347 | − | 0.331721i | ||||
\(179\) | 1.87108i | 0.139851i | 0.997552 | + | 0.0699256i | \(0.0222762\pi\) | ||||
−0.997552 | + | 0.0699256i | \(0.977724\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 18.1786 | + | 10.4954i | 1.35121 | + | 0.780121i | 0.988419 | − | 0.151751i | \(-0.0484910\pi\) |
0.362790 | + | 0.931871i | \(0.381824\pi\) | |||||||
\(182\) | 18.7016 | − | 6.89494i | 1.38625 | − | 0.511087i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.94634 | − | 1.63317i | 0.143486 | − | 0.120399i | ||||
\(185\) | 1.54468 | + | 8.76031i | 0.113567 | + | 0.644071i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.05132 | − | 1.25291i | 0.0768799 | − | 0.0916219i | ||||
\(188\) | −5.39802 | −0.393691 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.23095 | −0.452041 | ||||||||
\(191\) | 6.58893 | − | 7.85238i | 0.476758 | − | 0.568178i | −0.473040 | − | 0.881041i | \(-0.656843\pi\) |
0.949798 | + | 0.312862i | \(0.101288\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.75083 | − | 9.92947i | −0.126028 | − | 0.714739i | −0.980692 | − | 0.195558i | \(-0.937348\pi\) |
0.854664 | − | 0.519181i | \(-0.173763\pi\) | |||||||
\(194\) | −7.44119 | + | 6.24390i | −0.534246 | + | 0.448286i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.87397 | + | 11.1697i | −0.133855 | + | 0.797837i | ||||
\(197\) | 23.0223 | + | 13.2919i | 1.64027 | + | 0.947010i | 0.980737 | + | 0.195334i | \(0.0625791\pi\) |
0.659533 | + | 0.751676i | \(0.270754\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 19.4827i | − | 1.38109i | −0.723288 | − | 0.690546i | \(-0.757370\pi\) | ||
0.723288 | − | 0.690546i | \(-0.242630\pi\) | |||||||
\(200\) | −1.95475 | + | 2.32958i | −0.138222 | + | 0.164726i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −8.72737 | + | 23.9782i | −0.614055 | + | 1.68710i | ||||
\(203\) | −13.6472 | + | 2.46486i | −0.957844 | + | 0.173000i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.44939 | − | 0.891504i | 0.171073 | − | 0.0622654i | ||||
\(206\) | −28.6744 | −1.99784 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 18.2909i | − | 1.26825i | ||||||
\(209\) | −9.71752 | − | 8.15397i | −0.672175 | − | 0.564022i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.926175 | − | 5.25260i | −0.0637605 | − | 0.361604i | −0.999949 | − | 0.0101053i | \(-0.996783\pi\) |
0.936188 | − | 0.351499i | \(-0.114328\pi\) | |||||||
\(212\) | −5.59309 | + | 15.3669i | −0.384135 | + | 1.05540i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.89448 | − | 27.7580i | 0.334580 | − | 1.89750i | ||||
\(215\) | 4.01612 | + | 6.95612i | 0.273897 | + | 0.474403i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.0765688 | − | 18.4316i | −0.00519783 | − | 1.25122i | ||||
\(218\) | 1.92996 | + | 5.30253i | 0.130713 | + | 0.359132i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.02846 | + | 0.886653i | −0.339019 | + | 0.0597781i | ||||
\(221\) | 0.633788 | − | 1.74132i | 0.0426332 | − | 0.117134i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.44697 | + | 6.49144i | −0.364756 | + | 0.434699i | −0.916941 | − | 0.399022i | \(-0.869350\pi\) |
0.552185 | + | 0.833721i | \(0.313794\pi\) | |||||||
\(224\) | 16.8371 | + | 9.62787i | 1.12498 | + | 0.643289i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −11.5891 | + | 20.0730i | −0.770898 | + | 1.33523i | ||||
\(227\) | 17.2296 | + | 14.4573i | 1.14357 | + | 0.959567i | 0.999550 | − | 0.0300086i | \(-0.00955346\pi\) |
0.144017 | + | 0.989575i | \(0.453998\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.780937 | − | 0.137700i | 0.0516057 | − | 0.00909948i | −0.147786 | − | 0.989019i | \(-0.547215\pi\) |
0.199391 | + | 0.979920i | \(0.436103\pi\) | |||||||
\(230\) | −5.64189 | − | 2.05348i | −0.372015 | − | 0.135403i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.661391 | + | 3.75093i | −0.0434224 | + | 0.246261i | ||||
\(233\) | −7.51477 | − | 4.33866i | −0.492309 | − | 0.284235i | 0.233223 | − | 0.972423i | \(-0.425073\pi\) |
−0.725532 | + | 0.688189i | \(0.758406\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.50591 | − | 2.60831i | −0.0982346 | − | 0.170147i | ||||
\(236\) | 0.910694 | − | 5.16480i | 0.0592812 | − | 0.336200i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.52093 | + | 1.79736i | 0.0985876 | + | 0.116506i | ||||
\(239\) | −14.4054 | − | 17.1677i | −0.931810 | − | 1.11049i | −0.993663 | − | 0.112403i | \(-0.964145\pi\) |
0.0618527 | − | 0.998085i | \(-0.480299\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.3548 | + | 1.82584i | 0.667014 | + | 0.117613i | 0.496895 | − | 0.867811i | \(-0.334474\pi\) |
0.170119 | + | 0.985423i | \(0.445585\pi\) | |||||||
\(242\) | −2.01061 | − | 1.16082i | −0.129247 | − | 0.0746206i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 0.0988758i | − | 0.00632987i | ||||||
\(245\) | −5.91996 | + | 2.21056i | −0.378213 | + | 0.141228i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −13.5056 | − | 4.91563i | −0.859340 | − | 0.312774i | ||||
\(248\) | −4.75694 | − | 1.73138i | −0.302066 | − | 0.109943i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 15.5321 | + | 2.73874i | 0.982339 | + | 0.173213i | ||||
\(251\) | −4.71175 | + | 8.16098i | −0.297403 | + | 0.515117i | −0.975541 | − | 0.219818i | \(-0.929454\pi\) |
0.678138 | + | 0.734934i | \(0.262787\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.11162 | − | 10.5856i | −0.384234 | − | 0.665514i | ||||
\(254\) | 5.37114 | + | 14.7571i | 0.337015 | + | 0.925942i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.5284 | − | 13.0299i | 0.970524 | − | 0.814367i | ||||
\(257\) | 2.04743 | + | 11.6115i | 0.127715 | + | 0.724308i | 0.979658 | + | 0.200673i | \(0.0643130\pi\) |
−0.851943 | + | 0.523634i | \(0.824576\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −20.0407 | − | 16.6748i | −1.24527 | − | 1.03612i | ||||
\(260\) | −5.01003 | + | 2.89254i | −0.310709 | + | 0.179388i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −34.1722 | + | 19.7293i | −2.11117 | + | 1.21888i | ||||
\(263\) | −1.58821 | − | 4.36356i | −0.0979331 | − | 0.269069i | 0.881046 | − | 0.473031i | \(-0.156840\pi\) |
−0.978979 | + | 0.203962i | \(0.934618\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.98556 | + | 1.58440i | −0.551978 | + | 0.0973287i | ||||
\(266\) | 13.9403 | − | 11.7963i | 0.854733 | − | 0.723278i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −12.7067 | − | 10.6622i | −0.776187 | − | 0.651299i | ||||
\(269\) | 13.5452 | − | 23.4609i | 0.825864 | − | 1.43044i | −0.0753937 | − | 0.997154i | \(-0.524021\pi\) |
0.901257 | − | 0.433284i | \(-0.142645\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.93162 | + | 2.26992i | −0.238829 | + | 0.137888i | −0.614638 | − | 0.788809i | \(-0.710698\pi\) |
0.375810 | + | 0.926697i | \(0.377365\pi\) | |||||||
\(272\) | 2.03035 | − | 0.738985i | 0.123108 | − | 0.0448076i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 17.7796 | − | 14.9189i | 1.07411 | − | 0.901282i | ||||
\(275\) | 9.40403 | + | 11.2073i | 0.567084 | + | 0.675825i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −7.49116 | + | 2.72656i | −0.450100 | + | 0.163823i | −0.557117 | − | 0.830434i | \(-0.688092\pi\) |
0.107016 | + | 0.994257i | \(0.465870\pi\) | |||||||
\(278\) | 34.2136 | 2.05200 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.00720981 | + | 1.73554i | 0.000430868 | + | 0.103718i | ||||
\(281\) | −6.05459 | − | 1.06759i | −0.361187 | − | 0.0636870i | −0.00988990 | − | 0.999951i | \(-0.503148\pi\) |
−0.351297 | + | 0.936264i | \(0.614259\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.37481 | − | 8.78895i | −0.438387 | − | 0.522449i | 0.500936 | − | 0.865484i | \(-0.332989\pi\) |
−0.939322 | + | 0.343036i | \(0.888545\pi\) | |||||||
\(284\) | −2.64121 | − | 3.14767i | −0.156727 | − | 0.186780i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −25.9359 | − | 4.57321i | −1.53362 | − | 0.270419i | ||||
\(287\) | −3.79215 | + | 6.63166i | −0.223843 | + | 0.391455i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.7811 | −0.987124 | ||||||||
\(290\) | 8.45762 | − | 3.07832i | 0.496649 | − | 0.180765i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.70500 | + | 10.3742i | 0.509422 | + | 0.607105i | ||||
\(293\) | −0.840836 | + | 0.705545i | −0.0491222 | + | 0.0412184i | −0.667018 | − | 0.745041i | \(-0.732430\pi\) |
0.617896 | + | 0.786260i | \(0.287985\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.74968 | − | 1.00080i | 0.160092 | − | 0.0582689i | ||||
\(296\) | −6.20093 | + | 3.58011i | −0.360422 | + | 0.208090i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.7117 | + | 18.5532i | −0.620511 | + | 1.07476i | ||||
\(299\) | −10.6088 | − | 8.90185i | −0.613523 | − | 0.514807i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −22.1543 | − | 7.95944i | −1.27695 | − | 0.458774i | ||||
\(302\) | −11.4058 | + | 2.01115i | −0.656331 | + | 0.115729i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −5.73154 | − | 15.7473i | −0.328726 | − | 0.903169i | ||||
\(305\) | 0.0477765 | − | 0.0275838i | 0.00273567 | − | 0.00157944i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.93612 | − | 3.42722i | 0.338792 | − | 0.195602i | −0.320945 | − | 0.947098i | \(-0.604001\pi\) |
0.659738 | + | 0.751496i | \(0.270667\pi\) | |||||||
\(308\) | 9.57139 | − | 11.5035i | 0.545381 | − | 0.655470i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.07724 | + | 11.7806i | 0.117979 | + | 0.669093i | ||||
\(311\) | 17.1024 | − | 14.3506i | 0.969788 | − | 0.813749i | −0.0127297 | − | 0.999919i | \(-0.504052\pi\) |
0.982517 | + | 0.186170i | \(0.0596077\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.345892 | − | 0.950332i | −0.0195510 | − | 0.0537159i | 0.929533 | − | 0.368738i | \(-0.120210\pi\) |
−0.949084 | + | 0.315022i | \(0.897988\pi\) | |||||||
\(314\) | 4.54635 | + | 7.87450i | 0.256565 | + | 0.444384i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.64455 | − | 13.2408i | 0.430040 | − | 0.744850i | ||||
\(317\) | −24.4774 | − | 4.31603i | −1.37479 | − | 0.242412i | −0.563044 | − | 0.826427i | \(-0.690370\pi\) |
−0.811743 | + | 0.584015i | \(0.801481\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 17.2185 | + | 6.26703i | 0.964052 | + | 0.350886i | ||||
\(320\) | −3.99354 | − | 1.45353i | −0.223246 | − | 0.0812547i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 16.5100 | − | 6.08694i | 0.920067 | − | 0.339212i | ||||
\(323\) | − | 1.69776i | − | 0.0944659i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 14.3550 | + | 8.28786i | 0.796272 | + | 0.459728i | ||||
\(326\) | 14.9122 | + | 2.62942i | 0.825910 | + | 0.145630i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.34864 | + | 1.60725i | 0.0744664 | + | 0.0887457i | ||||
\(329\) | 8.30711 | + | 2.98452i | 0.457986 | + | 0.164542i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.60947 | − | 26.1416i | 0.253360 | − | 1.43687i | −0.546889 | − | 0.837205i | \(-0.684188\pi\) |
0.800248 | − | 0.599669i | \(-0.204701\pi\) | |||||||
\(332\) | 9.13881 | + | 15.8289i | 0.501558 | + | 0.868723i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −37.0149 | − | 21.3706i | −2.02536 | − | 1.16934i | ||||
\(335\) | 1.60710 | − | 9.11434i | 0.0878054 | − | 0.497969i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 23.2967 | + | 8.47930i | 1.26905 | + | 0.461897i | 0.886796 | − | 0.462161i | \(-0.152926\pi\) |
0.382254 | + | 0.924057i | \(0.375148\pi\) | |||||||
\(338\) | −5.03357 | + | 0.887554i | −0.273790 | + | 0.0482766i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.523494 | − | 0.439264i | −0.0283904 | − | 0.0238224i | ||||
\(341\) | −12.1768 | + | 21.0908i | −0.659411 | + | 1.14213i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.05953 | − | 16.1532i | 0.489169 | − | 0.872189i | ||||
\(344\) | −4.15587 | + | 4.95278i | −0.224070 | + | 0.267036i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −5.03844 | + | 13.8430i | −0.270868 | + | 0.744204i | ||||
\(347\) | −18.4568 | + | 3.25443i | −0.990813 | + | 0.174707i | −0.645483 | − | 0.763774i | \(-0.723344\pi\) |
−0.345330 | + | 0.938481i | \(0.612233\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.31455 | + | 22.8440i | 0.445067 | + | 1.22281i | 0.936119 | + | 0.351682i | \(0.114390\pi\) |
−0.491052 | + | 0.871130i | \(0.663387\pi\) | |||||||
\(350\) | −18.1956 | + | 10.6063i | −0.972596 | + | 0.566929i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −12.8135 | − | 22.1936i | −0.682960 | − | 1.18292i | ||||
\(353\) | 3.97293 | − | 22.5316i | 0.211458 | − | 1.19924i | −0.675490 | − | 0.737369i | \(-0.736068\pi\) |
0.886948 | − | 0.461869i | \(-0.152821\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.784116 | − | 2.15434i | 0.0416166 | − | 0.114341i | ||||
\(356\) | −0.853371 | − | 4.83971i | −0.0452286 | − | 0.256504i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.72634 | + | 2.28767i | 0.144091 | + | 0.120907i | ||||
\(359\) | − | 8.35250i | − | 0.440828i | −0.975406 | − | 0.220414i | \(-0.929259\pi\) | ||
0.975406 | − | 0.220414i | \(-0.0707409\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.83224 | 0.306960 | ||||||||
\(362\) | 37.5189 | − | 13.6557i | 1.97195 | − | 0.717730i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.73265 | − | 15.9563i | 0.300473 | − | 0.836336i | ||||
\(365\) | −2.58432 | + | 7.10037i | −0.135270 | + | 0.371650i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.27438 | + | 7.47752i | −0.327520 | + | 0.390323i | −0.904527 | − | 0.426416i | \(-0.859776\pi\) |
0.577007 | + | 0.816739i | \(0.304220\pi\) | |||||||
\(368\) | − | 16.1475i | − | 0.841745i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 14.6532 | + | 8.46001i | 0.761782 | + | 0.439815i | ||||
\(371\) | 17.1035 | − | 20.5560i | 0.887970 | − | 1.06721i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.11869 | − | 6.81239i | 0.420370 | − | 0.352732i | −0.407934 | − | 0.913012i | \(-0.633751\pi\) |
0.828304 | + | 0.560279i | \(0.189306\pi\) | |||||||
\(374\) | −0.540218 | − | 3.06373i | −0.0279340 | − | 0.158422i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.55831 | − | 1.85712i | 0.0803637 | − | 0.0957738i | ||||
\(377\) | 20.7604 | 1.06922 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.26462 | −0.321792 | −0.160896 | − | 0.986971i | \(-0.551438\pi\) | ||||
−0.160896 | + | 0.986971i | \(0.551438\pi\) | |||||||
\(380\) | −3.40691 | + | 4.06020i | −0.174771 | + | 0.208284i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −3.38572 | − | 19.2013i | −0.173228 | − | 0.982427i | ||||
\(383\) | −6.40797 | + | 5.37692i | −0.327432 | + | 0.274748i | −0.791652 | − | 0.610972i | \(-0.790779\pi\) |
0.464221 | + | 0.885720i | \(0.346334\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 8.22860 | + | 1.41570i | 0.419368 | + | 0.0721510i | ||||
\(386\) | −16.6088 | − | 9.58909i | −0.845365 | − | 0.488072i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 8.26281i | 0.419480i | ||||||||
\(389\) | 12.4908 | − | 14.8860i | 0.633309 | − | 0.754748i | −0.349989 | − | 0.936754i | \(-0.613815\pi\) |
0.983297 | + | 0.182006i | \(0.0582590\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.559516 | − | 1.53726i | 0.0282960 | − | 0.0777425i | ||||
\(392\) | −3.30182 | − | 3.86921i | −0.166767 | − | 0.195425i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 47.5156 | − | 17.2943i | 2.39380 | − | 0.871273i | ||||
\(395\) | 8.53052 | 0.429217 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 28.3683i | 1.42376i | 0.702299 | + | 0.711882i | \(0.252157\pi\) | ||||
−0.702299 | + | 0.711882i | \(0.747843\pi\) | |||||||
\(398\) | −28.3881 | − | 23.8204i | −1.42297 | − | 1.19401i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.35610 | + | 19.0334i | 0.167805 | + | 0.951669i | ||||
\(401\) | −6.67751 | + | 18.3463i | −0.333459 | + | 0.916171i | 0.653746 | + | 0.756714i | \(0.273197\pi\) |
−0.987205 | + | 0.159457i | \(0.949026\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.79137 | + | 27.1732i | −0.238675 | + | 1.35359i | ||||
\(404\) | 10.8528 | + | 18.7976i | 0.539946 | + | 0.935213i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −13.0941 | + | 22.8988i | −0.649850 | + | 1.13645i | ||||
\(407\) | 11.7815 | + | 32.3694i | 0.583986 | + | 1.60449i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 34.4362 | − | 6.07202i | 1.70276 | − | 0.300242i | 0.764102 | − | 0.645096i | \(-0.223183\pi\) |
0.938657 | + | 0.344854i | \(0.112071\pi\) | |||||||
\(410\) | 1.69573 | − | 4.65897i | 0.0837460 | − | 0.230090i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −15.6784 | + | 18.6847i | −0.772418 | + | 0.920531i | ||||
\(413\) | −4.25706 | + | 7.44469i | −0.209476 | + | 0.366329i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.09898 | + | 8.83169i | −0.250299 | + | 0.433531i | ||||
\(416\) | −22.2422 | − | 18.6634i | −1.09051 | − | 0.915048i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −23.7622 | + | 4.18991i | −1.16225 | + | 0.204935i | ||||
\(419\) | 38.1160 | + | 13.8731i | 1.86209 | + | 0.677745i | 0.977340 | + | 0.211674i | \(0.0678916\pi\) |
0.884748 | + | 0.466070i | \(0.154331\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.74861 | − | 15.5881i | 0.133959 | − | 0.759718i | −0.841620 | − | 0.540070i | \(-0.818398\pi\) |
0.975579 | − | 0.219649i | \(-0.0704911\pi\) | |||||||
\(422\) | −8.78590 | − | 5.07254i | −0.427691 | − | 0.246927i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.67216 | − | 6.36037i | −0.178336 | − | 0.308887i | ||||
\(425\) | −0.340010 | + | 1.92829i | −0.0164929 | + | 0.0935358i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.0546675 | + | 0.152162i | −0.00264555 | + | 0.00736362i | ||||
\(428\) | −15.4114 | − | 18.3666i | −0.744939 | − | 0.887784i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 15.0460 | + | 2.65301i | 0.725582 | + | 0.127940i | ||||
\(431\) | −6.88208 | − | 3.97337i | −0.331498 | − | 0.191391i | 0.325008 | − | 0.945711i | \(-0.394633\pi\) |
−0.656506 | + | 0.754321i | \(0.727966\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 16.4757i | − | 0.791770i | −0.918300 | − | 0.395885i | \(-0.870438\pi\) | ||
0.918300 | − | 0.395885i | \(-0.129562\pi\) | |||||||
\(434\) | −26.9501 | − | 22.4237i | −1.29365 | − | 1.07637i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.51047 | + | 1.64168i | 0.216012 | + | 0.0786221i | ||||
\(437\) | −11.9229 | − | 4.33959i | −0.570350 | − | 0.207591i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.00878 | + | 1.05951i | 0.286783 | + | 0.0505677i | 0.315189 | − | 0.949029i | \(-0.397932\pi\) |
−0.0284059 | + | 0.999596i | \(0.509043\pi\) | |||||||
\(440\) | 1.14658 | − | 1.98594i | 0.0546612 | − | 0.0946759i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.76236 | − | 3.05250i | −0.0838270 | − | 0.145193i | ||||
\(443\) | −6.80864 | − | 18.7066i | −0.323488 | − | 0.888776i | −0.989718 | − | 0.143030i | \(-0.954315\pi\) |
0.666230 | − | 0.745746i | \(-0.267907\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.10046 | − | 1.76250i | 0.0995716 | − | 0.0835505i | ||||
\(446\) | 2.79892 | + | 15.8735i | 0.132533 | + | 0.751630i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 11.6864 | − | 4.30856i | 0.552130 | − | 0.203560i | ||||
\(449\) | 0.412263 | − | 0.238020i | 0.0194559 | − | 0.0112329i | −0.490241 | − | 0.871587i | \(-0.663091\pi\) |
0.509696 | + | 0.860354i | \(0.329758\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.74143 | − | 5.04687i | 0.411618 | − | 0.237648i | ||||
\(452\) | 6.74329 | + | 18.5270i | 0.317178 | + | 0.871438i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 42.1313 | − | 7.42888i | 1.97732 | − | 0.348655i | ||||
\(455\) | 9.30928 | − | 1.68138i | 0.436426 | − | 0.0788244i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.85251 | + | 7.42814i | 0.414103 | + | 0.347474i | 0.825914 | − | 0.563795i | \(-0.190659\pi\) |
−0.411812 | + | 0.911269i | \(0.635104\pi\) | |||||||
\(458\) | 0.754166 | − | 1.30625i | 0.0352399 | − | 0.0610373i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −4.42292 | + | 2.55357i | −0.206220 | + | 0.119061i | ||||
\(461\) | 19.0273 | − | 6.92536i | 0.886189 | − | 0.322546i | 0.141484 | − | 0.989941i | \(-0.454813\pi\) |
0.744705 | + | 0.667394i | \(0.232590\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.74389 | + | 3.98059i | −0.220467 | + | 0.184994i | −0.746331 | − | 0.665575i | \(-0.768186\pi\) |
0.525864 | + | 0.850569i | \(0.323742\pi\) | |||||||
\(464\) | 15.5595 | + | 18.5431i | 0.722332 | + | 0.860841i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −15.5097 | + | 5.64507i | −0.718474 | + | 0.261503i | ||||
\(467\) | −3.80696 | −0.176165 | −0.0880826 | − | 0.996113i | \(-0.528074\pi\) | ||||
−0.0880826 | + | 0.996113i | \(0.528074\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.6596 | + | 23.4337i | 0.630740 | + | 1.08207i | ||||
\(470\) | −5.64173 | − | 0.994790i | −0.260234 | − | 0.0458862i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.51399 | + | 1.80430i | 0.0696868 | + | 0.0830495i | ||||
\(473\) | 19.9933 | + | 23.8271i | 0.919292 | + | 1.09557i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 14.9557 | + | 2.63710i | 0.686217 | + | 0.120998i | ||||
\(476\) | 2.00280 | − | 0.00832006i | 0.0917982 | − | 0.000381349i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −42.6277 | −1.94974 | ||||||||
\(479\) | 28.2447 | − | 10.2802i | 1.29053 | − | 0.469716i | 0.396632 | − | 0.917978i | \(-0.370179\pi\) |
0.893902 | + | 0.448262i | \(0.147957\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 25.0866 | + | 29.8971i | 1.14385 | + | 1.36319i | ||||
\(482\) | 15.3207 | − | 12.8556i | 0.697839 | − | 0.585556i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.85576 | + | 0.675440i | −0.0843526 | + | 0.0307018i | ||||
\(485\) | −3.99256 | + | 2.30511i | −0.181293 | + | 0.104670i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −18.9944 | + | 32.8993i | −0.860720 | + | 1.49081i | 0.0105150 | + | 0.999945i | \(0.496653\pi\) |
−0.871235 | + | 0.490866i | \(0.836680\pi\) | |||||||
\(488\) | 0.0340170 | + | 0.0285436i | 0.00153988 | + | 0.00129211i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4.01702 | + | 11.3287i | −0.181471 | + | 0.511777i | ||||
\(491\) | 31.0131 | − | 5.46844i | 1.39960 | − | 0.246787i | 0.577622 | − | 0.816305i | \(-0.303981\pi\) |
0.821979 | + | 0.569517i | \(0.192870\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.838757 | + | 2.30447i | 0.0377757 | + | 0.103788i | ||||
\(494\) | −23.6751 | + | 13.6688i | −1.06519 | + | 0.614989i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −27.8620 | + | 16.0861i | −1.25104 | + | 0.722288i | ||||
\(497\) | 2.32428 | + | 6.30430i | 0.104258 | + | 0.282787i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.26628 | − | 18.5240i | −0.146219 | − | 0.829247i | −0.966381 | − | 0.257116i | \(-0.917228\pi\) |
0.820162 | − | 0.572131i | \(-0.193883\pi\) | |||||||
\(500\) | 10.2772 | − | 8.62356i | 0.459608 | − | 0.385657i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 6.13051 | + | 16.8434i | 0.273618 | + | 0.751759i | ||||
\(503\) | 3.04934 | + | 5.28161i | 0.135963 | + | 0.235495i | 0.925965 | − | 0.377609i | \(-0.123254\pi\) |
−0.790002 | + | 0.613105i | \(0.789920\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.05528 | + | 10.4881i | −0.269456 | + | 0.466712i | ||||
\(506\) | −22.8966 | − | 4.03729i | −1.01788 | − | 0.179479i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 12.5528 | + | 4.56884i | 0.556939 | + | 0.202709i | ||||
\(509\) | −40.6536 | − | 14.7967i | −1.80194 | − | 0.655852i | −0.998141 | − | 0.0609481i | \(-0.980588\pi\) |
−0.803797 | − | 0.594904i | \(-0.797190\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −7.66046 | − | 20.7780i | −0.338879 | − | 0.919164i | ||||
\(512\) | − | 27.1429i | − | 1.19956i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 19.4223 | + | 11.2135i | 0.856683 | + | 0.494606i | ||||
\(515\) | −13.4023 | − | 2.36318i | −0.590574 | − | 0.104134i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −7.49680 | − | 8.93434i | −0.329709 | − | 0.392932i | ||||
\(518\) | −48.7993 | + | 8.81382i | −2.14412 | + | 0.387257i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.451161 | − | 2.55866i | 0.0197847 | − | 0.112205i | ||||
\(521\) | 10.0216 | + | 17.3579i | 0.439053 | + | 0.760462i | 0.997617 | − | 0.0689999i | \(-0.0219808\pi\) |
−0.558564 | + | 0.829461i | \(0.688647\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −23.1000 | − | 13.3368i | −1.01009 | − | 0.583177i | −0.0988740 | − | 0.995100i | \(-0.531524\pi\) |
−0.911219 | + | 0.411923i | \(0.864857\pi\) | |||||||
\(524\) | −5.82843 | + | 33.0547i | −0.254616 | + | 1.44400i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.29992 | − | 3.02093i | −0.361894 | − | 0.131719i | ||||
\(527\) | −3.20988 | + | 0.565989i | −0.139825 | + | 0.0246549i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.25343 | + | 6.92545i | 0.358845 | + | 0.301106i | ||||
\(530\) | −8.67754 | + | 15.0299i | −0.376928 | + | 0.652859i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.0645301 | − | 15.5336i | −0.00279773 | − | 0.673469i | ||||
\(533\) | 7.35099 | − | 8.76057i | 0.318407 | − | 0.379462i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.57531 | − | 12.5706i | 0.197808 | − | 0.543473i | ||||
\(536\) | 7.33641 | − | 1.29361i | 0.316884 | − | 0.0558753i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −17.6238 | − | 48.4209i | −0.759815 | − | 2.08757i | ||||
\(539\) | −21.0897 | + | 12.4109i | −0.908399 | + | 0.534576i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.16825 | − | 8.95167i | −0.222200 | − | 0.384862i | 0.733275 | − | 0.679932i | \(-0.237991\pi\) |
−0.955476 | + | 0.295069i | \(0.904657\pi\) | |||||||
\(542\) | −1.49949 | + | 8.50404i | −0.0644086 | + | 0.365280i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.17307 | − | 3.22298i | 0.0502948 | − | 0.138184i | ||||
\(545\) | 0.465050 | + | 2.63743i | 0.0199206 | + | 0.112975i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.39360 | + | 2.00847i | 0.102343 | + | 0.0858758i | 0.692523 | − | 0.721396i | \(-0.256499\pi\) |
−0.590181 | + | 0.807271i | \(0.700943\pi\) | |||||||
\(548\) | − | 19.7428i | − | 0.843369i | ||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 27.8278 | 1.18658 | ||||||||
\(551\) | 17.8733 | − | 6.50537i | 0.761430 | − | 0.277138i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −19.0850 | + | 16.1498i | −0.811578 | + | 0.686760i | ||||
\(554\) | −5.18618 | + | 14.2489i | −0.220340 | + | 0.605379i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 18.7071 | − | 22.2942i | 0.793356 | − | 0.945485i | ||||
\(557\) | 14.1576i | 0.599878i | 0.953958 | + | 0.299939i | \(0.0969663\pi\) | ||||
−0.953958 | + | 0.299939i | \(0.903034\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 30.5192 | + | 17.6203i | 1.29083 | + | 0.745259i | ||||
\(560\) | 8.47891 | + | 7.05483i | 0.358299 | + | 0.298121i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −8.95819 | + | 7.51681i | −0.377878 | + | 0.317078i | ||||
\(563\) | 3.90078 | + | 22.1224i | 0.164398 | + | 0.932348i | 0.949683 | + | 0.313213i | \(0.101405\pi\) |
−0.785285 | + | 0.619135i | \(0.787483\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.07101 | + | 8.42690i | −0.297479 | + | 0.354522i | ||||
\(566\) | −21.8231 | −0.917292 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.84539 | 0.0774306 | ||||||||
\(569\) | −12.0098 | + | 14.3127i | −0.503478 | + | 0.600021i | −0.956592 | − | 0.291431i | \(-0.905869\pi\) |
0.453114 | + | 0.891453i | \(0.350313\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.32831 | − | 35.8896i | −0.264832 | − | 1.50193i | −0.769514 | − | 0.638630i | \(-0.779502\pi\) |
0.504683 | − | 0.863305i | \(-0.331610\pi\) | |||||||
\(572\) | −17.1610 | + | 14.3998i | −0.717539 | + | 0.602087i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 5.02649 | + | 13.6337i | 0.209802 | + | 0.569059i | ||||
\(575\) | 12.6728 | + | 7.31663i | 0.528492 | + | 0.305125i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 28.9410i | − | 1.20483i | −0.798183 | − | 0.602416i | \(-0.794205\pi\) | ||
0.798183 | − | 0.602416i | \(-0.205795\pi\) | |||||||
\(578\) | −20.5173 | + | 24.4516i | −0.853408 | + | 1.01705i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.61850 | − | 7.19428i | 0.108728 | − | 0.298726i | ||||
\(581\) | −5.31223 | − | 29.4121i | −0.220388 | − | 1.22022i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −33.2016 | + | 12.0844i | −1.37507 | + | 0.500485i | ||||
\(584\) | −6.08210 | −0.251679 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.08781i | 0.0862465i | ||||||||
\(587\) | 24.4251 | + | 20.4951i | 1.00813 | + | 0.845924i | 0.988090 | − | 0.153875i | \(-0.0491752\pi\) |
0.0200431 | + | 0.999799i | \(0.493620\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.38979 | + | 24.8957i | 0.180878 | + | 1.02581i | ||||
\(590\) | 1.90362 | − | 5.23016i | 0.0783708 | − | 0.215322i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −7.90199 | + | 44.8144i | −0.324770 | + | 1.84186i | ||||
\(593\) | 2.99491 | + | 5.18734i | 0.122986 | + | 0.213018i | 0.920944 | − | 0.389695i | \(-0.127420\pi\) |
−0.797958 | + | 0.602713i | \(0.794086\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.562749 | + | 0.965426i | 0.0230705 | + | 0.0395786i | ||||
\(596\) | 6.23273 | + | 17.1243i | 0.255303 | + | 0.701438i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −25.9416 | + | 4.57421i | −1.06083 | + | 0.187053i | ||||
\(599\) | −2.80083 | + | 7.69521i | −0.114439 | + | 0.314418i | −0.983668 | − | 0.179991i | \(-0.942393\pi\) |
0.869230 | + | 0.494409i | \(0.164615\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.1245 | − | 13.2576i | 0.453777 | − | 0.540791i | −0.489847 | − | 0.871808i | \(-0.662948\pi\) |
0.943625 | + | 0.331018i | \(0.107392\pi\) | |||||||
\(602\) | −38.6845 | + | 22.5493i | −1.57666 | + | 0.919040i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −4.92588 | + | 8.53187i | −0.200431 | + | 0.347157i | ||||
\(605\) | −0.844079 | − | 0.708266i | −0.0343167 | − | 0.0287951i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −19.3178 | + | 3.40626i | −0.784087 | + | 0.138256i | −0.551339 | − | 0.834281i | \(-0.685883\pi\) |
−0.232748 | + | 0.972537i | \(0.574772\pi\) | |||||||
\(608\) | −24.9973 | − | 9.09826i | −1.01377 | − | 0.368983i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.0182216 | − | 0.103340i | 0.000737771 | − | 0.00418411i | ||||
\(611\) | −11.4437 | − | 6.60701i | −0.462961 | − | 0.267291i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −13.9117 | − | 24.0958i | −0.561889 | − | 0.973220i | −0.997332 | − | 0.0730039i | \(-0.976741\pi\) |
0.435443 | − | 0.900216i | \(-0.356592\pi\) | |||||||
\(614\) | 2.26399 | − | 12.8397i | 0.0913674 | − | 0.518170i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.19453 | + | 6.61376i | 0.0481291 | + | 0.266476i | ||||
\(617\) | 18.1901 | + | 21.6782i | 0.732308 | + | 0.872730i | 0.995764 | − | 0.0919408i | \(-0.0293071\pi\) |
−0.263457 | + | 0.964671i | \(0.584863\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −28.6553 | − | 5.05271i | −1.15176 | − | 0.203086i | −0.435014 | − | 0.900424i | \(-0.643256\pi\) |
−0.716742 | + | 0.697338i | \(0.754368\pi\) | |||||||
\(620\) | 8.81223 | + | 5.08774i | 0.353908 | + | 0.204329i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 42.4655i | − | 1.70271i | ||||||
\(623\) | −1.36256 | + | 7.91973i | −0.0545900 | + | 0.317297i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −12.6294 | − | 4.59671i | −0.505175 | − | 0.183869i | ||||
\(626\) | −1.80762 | − | 0.657921i | −0.0722472 | − | 0.0262958i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.61699 | + | 1.34308i | 0.303951 | + | 0.0535947i | ||||
\(629\) | −2.30512 | + | 3.99258i | −0.0919110 | + | 0.159194i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.11061 | + | 5.38773i | 0.123831 | + | 0.214482i | 0.921275 | − | 0.388911i | \(-0.127149\pi\) |
−0.797444 | + | 0.603393i | \(0.793815\pi\) | |||||||
\(632\) | 2.34847 | + | 6.45238i | 0.0934172 | + | 0.256662i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −36.2160 | + | 30.3888i | −1.43832 | + | 1.20689i | ||||
\(635\) | 1.29425 | + | 7.34005i | 0.0513607 | + | 0.291281i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −17.6442 | + | 21.3858i | −0.699087 | + | 0.847338i | ||||
\(638\) | 30.1838 | − | 17.4266i | 1.19499 | − | 0.689926i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 4.46184 | − | 2.57605i | 0.176370 | − | 0.101827i | ||||
\(641\) | 2.18684 | + | 6.00829i | 0.0863749 | + | 0.237313i | 0.975359 | − | 0.220626i | \(-0.0708100\pi\) |
−0.888984 | + | 0.457939i | \(0.848588\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −2.20568 | + | 0.388920i | −0.0869834 | + | 0.0153375i | −0.216970 | − | 0.976178i | \(-0.569618\pi\) |
0.129987 | + | 0.991516i | \(0.458506\pi\) | |||||||
\(644\) | 5.06086 | − | 14.0864i | 0.199426 | − | 0.555082i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.47379 | − | 2.07576i | −0.0973300 | − | 0.0816696i | ||||
\(647\) | −13.4891 | + | 23.3638i | −0.530311 | + | 0.918525i | 0.469064 | + | 0.883164i | \(0.344591\pi\) |
−0.999375 | + | 0.0353609i | \(0.988742\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 9.81311 | − | 5.66560i | 0.385198 | − | 0.222394i | ||||
\(650\) | 29.6272 | − | 10.7834i | 1.16208 | − | 0.422961i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 9.86695 | − | 8.27936i | 0.386420 | − | 0.324245i | ||||
\(653\) | 14.6649 | + | 17.4769i | 0.573880 | + | 0.683924i | 0.972423 | − | 0.233226i | \(-0.0749283\pi\) |
−0.398542 | + | 0.917150i | \(0.630484\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −17.5979 | + | 6.40512i | −0.687607 | + | 0.250269i | ||||
\(656\) | 13.3343 | 0.520617 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 14.5054 | − | 8.45521i | 0.565478 | − | 0.329618i | ||||
\(659\) | −21.2918 | − | 3.75431i | −0.829409 | − | 0.146247i | −0.257203 | − | 0.966357i | \(-0.582801\pi\) |
−0.572206 | + | 0.820110i | \(0.693912\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 18.7716 | + | 22.3711i | 0.730130 | + | 0.870135i | 0.995573 | − | 0.0939915i | \(-0.0299627\pi\) |
−0.265443 | + | 0.964127i | \(0.585518\pi\) | |||||||
\(662\) | −32.4550 | − | 38.6784i | −1.26140 | − | 1.50328i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −8.08394 | − | 1.42542i | −0.313718 | − | 0.0553169i | ||||
\(665\) | 7.48780 | − | 4.36466i | 0.290365 | − | 0.169254i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 18.3276 | 0.709646 | ||||||||
\(668\) | −34.1642 | + | 12.4347i | −1.32185 | + | 0.481114i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −11.3155 | − | 13.4853i | −0.437156 | − | 0.520982i | ||||
\(671\) | 0.163651 | − | 0.137319i | 0.00631766 | − | 0.00530115i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 22.4647 | − | 8.17648i | 0.865950 | − | 0.315180i | 0.129424 | − | 0.991589i | \(-0.458687\pi\) |
0.736526 | + | 0.676409i | \(0.236465\pi\) | |||||||
\(674\) | 40.8387 | − | 23.5782i | 1.57305 | − | 0.908199i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.17387 | + | 3.76525i | −0.0836104 | + | 0.144817i | ||||
\(677\) | −23.7257 | − | 19.9082i | −0.911852 | − | 0.765135i | 0.0606183 | − | 0.998161i | \(-0.480693\pi\) |
−0.972470 | + | 0.233026i | \(0.925137\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.56843 | − | 12.7158i | 0.175320 | − | 0.487987i | ||||
\(680\) | 0.302246 | − | 0.0532942i | 0.0115906 | − | 0.00204374i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 15.8434 | + | 43.5293i | 0.606674 | + | 1.66682i | ||||
\(683\) | 3.31809 | − | 1.91570i | 0.126963 | − | 0.0733022i | −0.435173 | − | 0.900347i | \(-0.643313\pi\) |
0.562136 | + | 0.827044i | \(0.309980\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.53964 | − | 5.50771i | 0.364491 | − | 0.210439i | ||||
\(686\) | −12.4601 | − | 32.9502i | −0.475727 | − | 1.25804i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.13518 | + | 40.4656i | 0.272026 | + | 1.54274i | ||||
\(689\) | −30.6658 | + | 25.7316i | −1.16827 | + | 0.980298i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.82846 | + | 7.77112i | 0.107600 | + | 0.295627i | 0.981794 | − | 0.189949i | \(-0.0608321\pi\) |
−0.874194 | + | 0.485576i | \(0.838610\pi\) | |||||||
\(692\) | 6.26547 | + | 10.8521i | 0.238177 | + | 0.412535i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −17.8241 | + | 30.8723i | −0.676594 | + | 1.17190i | ||||
\(695\) | 15.9913 | + | 2.81969i | 0.606583 | + | 0.106957i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.26944 | + | 0.462038i | 0.0480835 | + | 0.0175010i | ||||
\(698\) | 43.4516 | + | 15.8151i | 1.64467 | + | 0.598609i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.03762 | + | 17.6558i | −0.114811 | + | 0.667326i | ||||
\(701\) | 19.8898i | 0.751226i | 0.926777 | + | 0.375613i | \(0.122568\pi\) | ||||
−0.926777 | + | 0.375613i | \(0.877432\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 30.9663 | + | 17.8784i | 1.16792 | + | 0.674296i | ||||
\(704\) | −16.2070 | − | 2.85774i | −0.610826 | − | 0.107705i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −27.9732 | − | 33.3371i | −1.05278 | − | 1.25466i | ||||
\(707\) | −6.30852 | − | 34.9283i | −0.237256 | − | 1.31361i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.42708 | − | 13.7647i | 0.0911511 | − | 0.516943i | −0.904708 | − | 0.426032i | \(-0.859911\pi\) |
0.995859 | − | 0.0909111i | \(-0.0289779\pi\) | |||||||
\(710\) | −2.18038 | − | 3.77652i | −0.0818281 | − | 0.141730i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.91139 | + | 1.10354i | 0.0716325 | + | 0.0413571i | ||||
\(713\) | −4.22989 | + | 23.9889i | −0.158410 | + | 0.898390i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −11.7454 | − | 4.27499i | −0.439254 | − | 0.159876i | ||||
\(716\) | 2.98137 | − | 0.525696i | 0.111419 | − | 0.0196462i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −12.1704 | − | 10.2121i | −0.454194 | − | 0.381114i | ||||
\(719\) | 15.7165 | − | 27.2219i | 0.586128 | − | 1.01520i | −0.408606 | − | 0.912711i | \(-0.633985\pi\) |
0.994734 | − | 0.102493i | \(-0.0326818\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 34.4583 | − | 20.0859i | 1.28330 | − | 0.748036i | ||||
\(722\) | 7.13076 | − | 8.49811i | 0.265380 | − | 0.316267i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 11.6159 | − | 31.9146i | 0.431703 | − | 1.18610i | ||||
\(725\) | −21.6031 | + | 3.80921i | −0.802319 | + | 0.141471i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.57818 | + | 26.3158i | 0.355235 | + | 0.976000i | 0.980661 | + | 0.195716i | \(0.0627031\pi\) |
−0.625426 | + | 0.780284i | \(0.715075\pi\) | |||||||
\(728\) | 3.83464 | + | 6.57853i | 0.142121 | + | 0.243817i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 7.18617 | + | 12.4468i | 0.265972 | + | 0.460677i | ||||
\(731\) | −0.722872 | + | 4.09961i | −0.0267364 | + | 0.151630i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −8.51889 | + | 23.4055i | −0.314653 | + | 0.864501i | 0.677049 | + | 0.735938i | \(0.263259\pi\) |
−0.991701 | + | 0.128563i | \(0.958964\pi\) | |||||||
\(734\) | 3.22409 | + | 18.2847i | 0.119003 | + | 0.674900i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −19.6357 | − | 16.4763i | −0.723780 | − | 0.607324i | ||||
\(737\) | − | 35.8388i | − | 1.32014i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 46.5319 | 1.71170 | 0.855851 | − | 0.517222i | \(-0.173034\pi\) | ||||
0.855851 | + | 0.517222i | \(0.173034\pi\) | |||||||
\(740\) | 13.5246 | − | 4.92257i | 0.497176 | − | 0.180957i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −9.04044 | − | 50.0541i | −0.331885 | − | 1.83754i | ||||
\(743\) | 11.9890 | − | 32.9395i | 0.439834 | − | 1.20843i | −0.499767 | − | 0.866160i | \(-0.666581\pi\) |
0.939600 | − | 0.342273i | \(-0.111197\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.53564 | + | 7.78887i | −0.239447 | + | 0.285362i | ||||
\(746\) | − | 20.1588i | − | 0.738067i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.29176 | − | 1.32315i | −0.0837949 | − | 0.0483790i | ||||
\(749\) | 13.5622 | + | 36.7856i | 0.495551 | + | 1.34411i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.14628 | − | 2.64004i | 0.114809 | − | 0.0963364i | −0.583576 | − | 0.812059i | \(-0.698347\pi\) |
0.698385 | + | 0.715722i | \(0.253902\pi\) | |||||||
\(752\) | −2.67545 | − | 15.1732i | −0.0975636 | − | 0.553311i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 25.3826 | − | 30.2498i | 0.924381 | − | 1.10163i | ||||
\(755\) | −5.49677 | −0.200048 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −15.6872 | −0.570161 | −0.285081 | − | 0.958504i | \(-0.592020\pi\) | ||||
−0.285081 | + | 0.958504i | \(0.592020\pi\) | |||||||
\(758\) | −7.65941 | + | 9.12813i | −0.278202 | + | 0.331549i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.413348 | − | 2.34421i | −0.0149937 | − | 0.0850335i | ||||
\(761\) | 21.5384 | − | 18.0728i | 0.780766 | − | 0.655140i | −0.162676 | − | 0.986680i | \(-0.552012\pi\) |
0.943441 | + | 0.331539i | \(0.107568\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −6.03357 | − | 5.02020i | −0.218430 | − | 0.181744i | ||||
\(764\) | −14.3632 | − | 8.29258i | −0.519641 | − | 0.300015i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 15.9111i | 0.574890i | ||||||||
\(767\) | 8.25220 | − | 9.83459i | 0.297970 | − | 0.355107i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −9.49574 | + | 26.0893i | −0.342425 | + | 0.940806i | 0.642263 | + | 0.766484i | \(0.277996\pi\) |
−0.984689 | + | 0.174322i | \(0.944227\pi\) | |||||||
\(770\) | 12.1235 | − | 10.2589i | 0.436899 | − | 0.369706i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −15.3297 | + | 5.57954i | −0.551726 | + | 0.200812i | ||||
\(773\) | 13.0962 | 0.471036 | 0.235518 | − | 0.971870i | \(-0.424321\pi\) | ||||
0.235518 | + | 0.971870i | \(0.424321\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 29.1553i | − | 1.04729i | ||||||
\(776\) | −2.84272 | − | 2.38532i | −0.102048 | − | 0.0856280i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −6.41839 | − | 36.4005i | −0.230110 | − | 1.30502i | ||||
\(779\) | 3.58355 | − | 9.84573i | 0.128394 | − | 0.352760i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.54163 | − | 8.74300i | 0.0551637 | − | 0.312849i | ||||
\(782\) | −1.55584 | − | 2.69479i | −0.0556366 | − | 0.0963654i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −32.3256 | + | 0.268580i | −1.15449 | + | 0.00959214i | ||||
\(785\) | 1.47597 | + | 4.05519i | 0.0526796 | + | 0.144736i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 46.4006 | − | 8.18167i | 1.65400 | − | 0.291645i | 0.732717 | − | 0.680533i | \(-0.238252\pi\) |
0.921285 | + | 0.388888i | \(0.127141\pi\) | |||||||
\(788\) | 14.7110 | − | 40.4181i | 0.524057 | − | 1.43983i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 10.4298 | − | 12.4297i | 0.371076 | − | 0.442231i | ||||
\(791\) | −0.133931 | − | 32.2399i | −0.00476205 | − | 1.14632i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.121021 | − | 0.209614i | 0.00429757 | − | 0.00744362i | ||||
\(794\) | 41.3352 | + | 34.6844i | 1.46693 | + | 1.23090i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −31.0437 | + | 5.47383i | −1.10031 | + | 0.194015i | ||||
\(797\) | −35.7462 | − | 13.0105i | −1.26619 | − | 0.460857i | −0.380352 | − | 0.924842i | \(-0.624197\pi\) |
−0.885843 | + | 0.463985i | \(0.846419\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.271052 | − | 1.53721i | 0.00958914 | − | 0.0543827i | ||||
\(800\) | 26.5694 | + | 15.3399i | 0.939371 | + | 0.542346i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 18.5680 | + | 32.1608i | 0.655660 | + | 1.13564i | ||||
\(803\) | −5.08096 | + | 28.8155i | −0.179303 | + | 1.01688i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 8.21835 | − | 1.48435i | 0.289659 | − | 0.0523163i | ||||
\(806\) | 33.7357 | + | 40.2047i | 1.18829 | + | 1.41615i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −9.60006 | − | 1.69275i | −0.337729 | − | 0.0595507i | ||||
\(809\) | −7.26934 | − | 4.19695i | −0.255576 | − | 0.147557i | 0.366739 | − | 0.930324i | \(-0.380474\pi\) |
−0.622315 | + | 0.782767i | \(0.713808\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 36.2880i | − | 1.27425i | −0.770762 | − | 0.637123i | \(-0.780124\pi\) | ||
0.770762 | − | 0.637123i | \(-0.219876\pi\) | |||||||
\(812\) | 7.76179 | + | 21.0528i | 0.272385 | + | 0.738809i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 61.5697 | + | 22.4095i | 2.15802 | + | 0.785454i | ||||
\(815\) | 6.75318 | + | 2.45796i | 0.236554 | + | 0.0860985i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 31.7964 | + | 5.60657i | 1.11242 | + | 0.196149i | ||||
\(818\) | 33.2557 | − | 57.6006i | 1.16276 | − | 2.01396i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.10869 | − | 3.65237i | −0.0736388 | − | 0.127546i | ||||
\(821\) | −17.4948 | − | 48.0666i | −0.610573 | − | 1.67754i | −0.728950 | − | 0.684567i | \(-0.759991\pi\) |
0.118377 | − | 0.992969i | \(-0.462231\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.25771 | − | 2.73354i | 0.113556 | − | 0.0952852i | −0.584241 | − | 0.811580i | \(-0.698608\pi\) |
0.697798 | + | 0.716295i | \(0.254163\pi\) | |||||||
\(824\) | −1.90220 | − | 10.7879i | −0.0662661 | − | 0.375814i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 5.64273 | + | 15.3051i | 0.196336 | + | 0.532534i | ||||
\(827\) | −15.9647 | + | 9.21722i | −0.555147 | + | 0.320514i | −0.751195 | − | 0.660080i | \(-0.770522\pi\) |
0.196048 | + | 0.980594i | \(0.437189\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.14109 | − | 1.23616i | 0.0743630 | − | 0.0429335i | −0.462357 | − | 0.886694i | \(-0.652996\pi\) |
0.536720 | + | 0.843760i | \(0.319663\pi\) | |||||||
\(830\) | 6.63434 | + | 18.2277i | 0.230281 | + | 0.632693i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −18.3624 | + | 3.23779i | −0.636602 | + | 0.112250i | ||||
\(833\) | −3.08674 | − | 1.09453i | −0.106949 | − | 0.0379231i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −15.5393 | − | 13.0391i | −0.537761 | − | 0.451235i | ||||
\(836\) | −10.2623 | + | 17.7748i | −0.354928 | + | 0.614754i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 66.8167 | − | 38.5766i | 2.30814 | − | 1.33261i | ||||
\(839\) | 11.0811 | − | 4.03321i | 0.382563 | − | 0.139242i | −0.143578 | − | 0.989639i | \(-0.545861\pi\) |
0.526141 | + | 0.850397i | \(0.323638\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.16867 | − | 0.980630i | 0.0402989 | − | 0.0338148i | ||||
\(842\) | −19.3527 | − | 23.0637i | −0.666940 | − | 0.794828i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −8.10925 | + | 2.95152i | −0.279132 | + | 0.101596i | ||||
\(845\) | −2.42581 | −0.0834505 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.22930 | − | 0.0134152i | 0.110960 | − | 0.000460952i | ||||
\(848\) | −45.9667 | − | 8.10517i | −1.57850 | − | 0.278333i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 2.39398 | + | 2.85304i | 0.0821130 | + | 0.0978584i | ||||
\(851\) | 22.1468 | + | 26.3935i | 0.759182 | + | 0.904758i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −14.3072 | − | 2.52275i | −0.489869 | − | 0.0863772i | −0.0767431 | − | 0.997051i | \(-0.524452\pi\) |
−0.413126 | + | 0.910674i | \(0.635563\pi\) | |||||||
\(854\) | 0.154874 | + | 0.265695i | 0.00529969 | + | 0.00909191i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.7678 | 0.368036 | ||||||||
\(857\) | −15.5951 | + | 5.67614i | −0.532717 | + | 0.193893i | −0.594351 | − | 0.804206i | \(-0.702591\pi\) |
0.0616339 | + | 0.998099i | \(0.480369\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.0869 | − | 16.7881i | −0.480639 | − | 0.572803i | 0.470172 | − | 0.882575i | \(-0.344192\pi\) |
−0.950811 | + | 0.309772i | \(0.899747\pi\) | |||||||
\(860\) | 9.95548 | − | 8.35364i | 0.339479 | − | 0.284857i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −14.2039 | + | 5.16980i | −0.483787 | + | 0.176084i | ||||
\(863\) | 6.94716 | − | 4.01095i | 0.236484 | − | 0.136534i | −0.377076 | − | 0.926182i | \(-0.623070\pi\) |
0.613560 | + | 0.789648i | \(0.289737\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.49580 | + | 6.05491i | −0.118861 | + | 0.205873i | ||||
\(866\) | −24.0066 | − | 20.1439i | −0.815776 | − | 0.684517i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −29.3473 | + | 5.30052i | −0.996112 | + | 0.179911i | ||||
\(869\) | 32.5317 | − | 5.73622i | 1.10356 | − | 0.194588i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −13.8877 | − | 38.1563i | −0.470568 | − | 1.29288i | ||||
\(872\) | −1.86689 | + | 1.07785i | −0.0632209 | + | 0.0365006i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −20.9007 | + | 12.0670i | −0.706976 | + | 0.408173i | ||||
\(875\) | −20.5836 | + | 7.58879i | −0.695852 | + | 0.256548i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.25755 | + | 35.4883i | 0.211302 | + | 1.19836i | 0.887209 | + | 0.461368i | \(0.152641\pi\) |
−0.675906 | + | 0.736988i | \(0.736248\pi\) | |||||||
\(878\) | 8.89041 | − | 7.45994i | 0.300037 | − | 0.251761i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.98456 | − | 13.6950i | −0.168030 | − | 0.461657i | ||||
\(881\) | −21.1819 | − | 36.6881i | −0.713636 | − | 1.23605i | −0.963483 | − | 0.267769i | \(-0.913714\pi\) |
0.249847 | − | 0.968285i | \(-0.419620\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.68137 | + | 6.37633i | −0.123888 | + | 0.214580i | −0.921298 | − | 0.388858i | \(-0.872870\pi\) |
0.797410 | + | 0.603438i | \(0.206203\pi\) | |||||||
\(884\) | −2.95268 | − | 0.520636i | −0.0993092 | − | 0.0175109i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −35.5817 | − | 12.9507i | −1.19539 | − | 0.435087i | ||||
\(887\) | −0.457707 | − | 0.166592i | −0.0153683 | − | 0.00559360i | 0.334325 | − | 0.942458i | \(-0.391492\pi\) |
−0.349693 | + | 0.936864i | \(0.613714\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −16.7916 | − | 13.9714i | −0.563173 | − | 0.468585i | ||||
\(890\) | − | 5.21548i | − | 0.174823i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 11.8738 | + | 6.85534i | 0.397564 | + | 0.229534i | ||||
\(893\) | −11.9226 | − | 2.10227i | −0.398974 | − | 0.0703498i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.08574 | + | 1.29393i | 0.0362923 | + | 0.0432515i | ||||
\(896\) | −5.10540 | + | 14.2104i | −0.170559 | + | 0.474735i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0.157234 | − | 0.891718i | 0.00524696 | − | 0.0297570i | ||||
\(899\) | −18.2579 | − | 31.6237i | −0.608936 | − | 1.05471i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.09524 | − | 2.36439i | −0.136432 | − | 0.0787691i | ||||
\(902\) | 3.33392 | − | 18.9076i | 0.111007 | − | 0.629554i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −8.32066 | − | 3.02847i | −0.276741 | − | 0.100726i | ||||
\(905\) | 18.6616 | − | 3.29054i | 0.620331 | − | 0.109381i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.78620 | − | 1.49880i | −0.0593098 | − | 0.0497668i | 0.612651 | − | 0.790354i | \(-0.290103\pi\) |
−0.671961 | + | 0.740587i | \(0.734548\pi\) | |||||||
\(908\) | 18.1954 | − | 31.5154i | 0.603837 | − | 1.04588i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 8.93202 | − | 15.6202i | 0.296093 | − | 0.517805i | ||||
\(911\) | 17.0700 | − | 20.3432i | 0.565553 | − | 0.674000i | −0.405159 | − | 0.914246i | \(-0.632784\pi\) |
0.970712 | + | 0.240246i | \(0.0772281\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −13.5066 | + | 37.1090i | −0.447002 | + | 1.22813i | ||||
\(914\) | 21.6469 | − | 3.81694i | 0.716017 | − | 0.126253i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.438822 | − | 1.20565i | −0.0144991 | − | 0.0398359i | ||||
\(917\) | 27.2451 | − | 47.6460i | 0.899713 | − | 1.57341i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.06315 | − | 7.03758i | −0.134031 | − | 0.232148i | 0.791196 | − | 0.611563i | \(-0.209459\pi\) |
−0.925227 | + | 0.379414i | \(0.876125\pi\) | |||||||
\(920\) | 0.398291 | − | 2.25882i | 0.0131313 | − | 0.0744711i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 13.1727 | − | 36.1917i | 0.433820 | − | 1.19191i | ||||
\(923\) | −1.74665 | − | 9.90573i | −0.0574916 | − | 0.326051i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −31.5905 | − | 26.5076i | −1.03869 | − | 0.871565i | ||||
\(926\) | 11.7791i | 0.387086i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 38.4251 | 1.26137 | ||||||||
\(929\) | −19.2006 | + | 6.98845i | −0.629952 | + | 0.229284i | −0.637210 | − | 0.770690i | \(-0.719912\pi\) |
0.00725854 | + | 0.999974i | \(0.497690\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −8.48910 | + | 23.9407i | −0.278219 | + | 0.784623i | ||||
\(932\) | −4.80185 | + | 13.1930i | −0.157290 | + | 0.432150i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −4.65456 | + | 5.54709i | −0.152302 | + | 0.181506i | ||||
\(935\) | − | 1.47649i | − | 0.0482865i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −29.2827 | − | 16.9064i | −0.956625 | − | 0.552308i | −0.0614921 | − | 0.998108i | \(-0.519586\pi\) |
−0.895133 | + | 0.445800i | \(0.852919\pi\) | |||||||
\(938\) | 50.8459 | + | 8.74786i | 1.66018 | + | 0.285628i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.73297 | + | 3.13233i | −0.121756 | + | 0.102165i | ||||
\(941\) | 7.81855 | + | 44.3412i | 0.254878 | + | 1.44548i | 0.796387 | + | 0.604788i | \(0.206742\pi\) |
−0.541509 | + | 0.840695i | \(0.682147\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 6.48955 | − | 7.73394i | 0.211329 | − | 0.251852i | ||||
\(944\) | 14.9691 | 0.487201 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 59.1629 | 1.92355 | ||||||||
\(947\) | −0.805471 | + | 0.959923i | −0.0261743 | + | 0.0311933i | −0.778973 | − | 0.627058i | \(-0.784259\pi\) |
0.752799 | + | 0.658251i | \(0.228703\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 5.75667 | + | 32.6477i | 0.186870 | + | 1.05979i | ||||
\(950\) | 22.1281 | − | 18.5676i | 0.717929 | − | 0.602414i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.575309 | + | 0.691440i | −0.0186459 | + | 0.0224097i | ||||
\(953\) | −41.3947 | − | 23.8992i | −1.34091 | − | 0.774172i | −0.353965 | − | 0.935259i | \(-0.615167\pi\) |
−0.986940 | + | 0.161086i | \(0.948500\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 9.25365i | − | 0.299441i | ||||||
\(956\) | −23.3076 | + | 27.7770i | −0.753823 | + | 0.898371i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 19.5540 | − | 53.7242i | 0.631762 | − | 1.73575i | ||||
\(959\) | −10.9156 | + | 30.3825i | −0.352483 | + | 0.981101i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 16.4754 | − | 5.99657i | 0.531465 | − | 0.193438i | ||||
\(962\) | 74.2348 | 2.39342 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | − | 17.0123i | − | 0.547930i | ||||||
\(965\) | −6.97259 | − | 5.85070i | −0.224456 | − | 0.188341i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.01993 | − | 17.1269i | −0.0971143 | − | 0.550763i | −0.994079 | − | 0.108660i | \(-0.965344\pi\) |
0.896965 | − | 0.442102i | \(-0.145767\pi\) | |||||||
\(968\) | 0.303346 | − | 0.833438i | 0.00974992 | − | 0.0267877i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.52273 | + | 8.63586i | −0.0488921 | + | 0.277281i | ||||
\(971\) | 13.6117 | + | 23.5762i | 0.436821 | + | 0.756596i | 0.997442 | − | 0.0714765i | \(-0.0227711\pi\) |
−0.560622 | + | 0.828072i | \(0.689438\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −41.1149 | + | 23.9660i | −1.31808 | + | 0.768314i | ||||
\(974\) | 24.7139 | + | 67.9008i | 0.791884 | + | 2.17568i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.277929 | − | 0.0490063i | 0.00889628 | − | 0.00156865i | ||||
\(977\) | 7.73653 | − | 21.2560i | 0.247514 | − | 0.680038i | −0.752262 | − | 0.658864i | \(-0.771037\pi\) |
0.999776 | − | 0.0211742i | \(-0.00674047\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 6.82510 | − | 8.13384i | 0.218131 | − | 0.259959i | ||||
\(980\) | 5.18556 | + | 8.81176i | 0.165647 | + | 0.281482i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 29.9500 | − | 51.8749i | 0.955742 | − | 1.65539i | ||||
\(983\) | 16.9151 | + | 14.1935i | 0.539509 | + | 0.452702i | 0.871370 | − | 0.490626i | \(-0.163232\pi\) |
−0.331861 | + | 0.943328i | \(0.607676\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 23.6339 | − | 4.16729i | 0.753037 | − | 0.132781i | ||||
\(986\) | 4.38332 | + | 1.59540i | 0.139593 | + | 0.0508078i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −4.03804 | + | 22.9008i | −0.128467 | + | 0.728573i | ||||
\(989\) | 26.9428 | + | 15.5554i | 0.856730 | + | 0.494633i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.44079 | − | 9.42373i | −0.172832 | − | 0.299355i | 0.766577 | − | 0.642153i | \(-0.221959\pi\) |
−0.939409 | + | 0.342798i | \(0.888625\pi\) | |||||||
\(992\) | −8.86827 | + | 50.2944i | −0.281568 | + | 1.59685i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 12.0277 | + | 4.32123i | 0.381496 | + | 0.137061i | ||||
\(995\) | −11.3053 | − | 13.4731i | −0.358402 | − | 0.427127i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 5.88948 | + | 1.03847i | 0.186522 | + | 0.0328888i | 0.266129 | − | 0.963938i | \(-0.414255\pi\) |
−0.0796069 | + | 0.996826i | \(0.525367\pi\) | |||||||
\(998\) | −30.9846 | − | 17.8890i | −0.980801 | − | 0.566266i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 567.2.ba.a.143.19 | 132 | ||
3.2 | odd | 2 | 189.2.ba.a.101.4 | ✓ | 132 | ||
7.5 | odd | 6 | 567.2.bd.a.467.4 | 132 | |||
21.5 | even | 6 | 189.2.bd.a.47.19 | yes | 132 | ||
27.4 | even | 9 | 189.2.bd.a.185.19 | yes | 132 | ||
27.23 | odd | 18 | 567.2.bd.a.17.4 | 132 | |||
189.131 | even | 18 | inner | 567.2.ba.a.341.19 | 132 | ||
189.166 | odd | 18 | 189.2.ba.a.131.4 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.4 | ✓ | 132 | 3.2 | odd | 2 | ||
189.2.ba.a.131.4 | yes | 132 | 189.166 | odd | 18 | ||
189.2.bd.a.47.19 | yes | 132 | 21.5 | even | 6 | ||
189.2.bd.a.185.19 | yes | 132 | 27.4 | even | 9 | ||
567.2.ba.a.143.19 | 132 | 1.1 | even | 1 | trivial | ||
567.2.ba.a.341.19 | 132 | 189.131 | even | 18 | inner | ||
567.2.bd.a.17.4 | 132 | 27.23 | odd | 18 | |||
567.2.bd.a.467.4 | 132 | 7.5 | odd | 6 |