Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(41,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 18, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bv (of order \(60\), degree \(16\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 41.12 | ||
Character | \(\chi\) | \(=\) | 572.41 |
Dual form | 572.2.bv.a.293.12 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{3}{10}\right)\) |
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 | 0 | ||||||||
\(3\) | 1.43269 | − | 1.59116i | 0.827162 | − | 0.918656i | −0.170613 | − | 0.985338i | \(-0.554575\pi\) |
0.997774 | + | 0.0666821i | \(0.0212413\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.186319 | + | 0.0295100i | −0.0833244 | + | 0.0131973i | −0.197957 | − | 0.980211i | \(-0.563431\pi\) |
0.114633 | + | 0.993408i | \(0.463431\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.938903 | + | 0.0492058i | 0.354872 | + | 0.0185981i | 0.228939 | − | 0.973441i | \(-0.426474\pi\) |
0.125933 | + | 0.992039i | \(0.459808\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.165612 | − | 1.57570i | −0.0552041 | − | 0.525232i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.887226 | − | 3.19575i | −0.267509 | − | 0.963555i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.930431 | − | 3.48343i | 0.258055 | − | 0.966130i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.219982 | + | 0.338742i | −0.0567990 | + | 0.0874628i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.46378 | − | 0.651717i | 0.355019 | − | 0.158065i | −0.221475 | − | 0.975166i | \(-0.571087\pi\) |
0.576494 | + | 0.817101i | \(0.304420\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.00445075 | − | 0.00685355i | −0.00102107 | − | 0.00157231i | 0.838160 | − | 0.545425i | \(-0.183632\pi\) |
−0.839181 | + | 0.543853i | \(0.816965\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.42345 | − | 1.42345i | 0.310622 | − | 0.310622i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.06452 | − | 2.92400i | 1.05603 | − | 0.609697i | 0.131696 | − | 0.991290i | \(-0.457958\pi\) |
0.924330 | + | 0.381593i | \(0.124625\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.72144 | + | 1.53409i | −0.944288 | + | 0.306818i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.45214 | + | 1.78159i | 0.471915 | + | 0.342866i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.13451 | + | 5.33744i | 0.210673 | + | 0.991137i | 0.948654 | + | 0.316316i | \(0.102446\pi\) |
−0.737981 | + | 0.674821i | \(0.764221\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.683018 | − | 4.31241i | 0.122674 | − | 0.774531i | −0.847263 | − | 0.531174i | \(-0.821751\pi\) |
0.969937 | − | 0.243358i | \(-0.0782488\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −6.35606 | − | 3.16679i | −1.10645 | − | 0.551268i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.176388 | + | 0.0185391i | −0.0298150 | + | 0.00313368i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.90314 | − | 3.18414i | −0.806071 | − | 0.523469i | 0.0745906 | − | 0.997214i | \(-0.476235\pi\) |
−0.880662 | + | 0.473745i | \(0.842902\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −4.20968 | − | 6.47113i | −0.674088 | − | 1.03621i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 11.0936 | − | 0.581388i | 1.73252 | − | 0.0907976i | 0.840223 | − | 0.542242i | \(-0.182424\pi\) |
0.892299 | + | 0.451444i | \(0.149091\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.79926 | + | 10.0446i | −0.884378 | + | 1.53179i | −0.0379539 | + | 0.999279i | \(0.512084\pi\) |
−0.846424 | + | 0.532509i | \(0.821249\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.0773556 | + | 0.288695i | 0.0115315 | + | 0.0430361i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.03790 | − | 5.96221i | 0.443123 | − | 0.869678i | −0.556132 | − | 0.831094i | \(-0.687715\pi\) |
0.999255 | − | 0.0385842i | \(-0.0122848\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.08254 | − | 0.639300i | −0.868934 | − | 0.0913286i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.06015 | − | 3.26281i | 0.148451 | − | 0.456885i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −11.1948 | + | 8.13352i | −1.53773 | + | 1.11722i | −0.585987 | + | 0.810320i | \(0.699293\pi\) |
−0.951740 | + | 0.306904i | \(0.900707\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.259614 | + | 0.569248i | 0.0350063 | + | 0.0767573i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.0172816 | − | 0.00273714i | −0.00228901 | − | 0.000362543i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.0913913 | + | 1.74385i | −0.0118981 | + | 0.227030i | 0.986208 | + | 0.165512i | \(0.0529275\pi\) |
−0.998106 | + | 0.0615182i | \(0.980406\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.809054 | − | 1.81716i | −0.103589 | − | 0.232664i | 0.854314 | − | 0.519757i | \(-0.173978\pi\) |
−0.957903 | + | 0.287093i | \(0.907311\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.0779605 | − | 1.48758i | −0.00982210 | − | 0.187417i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.0705608 | + | 0.676487i | −0.00875199 | + | 0.0839079i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.32006 | + | 2.22935i | 1.01646 | + | 0.272359i | 0.728325 | − | 0.685232i | \(-0.240299\pi\) |
0.288132 | + | 0.957591i | \(0.406966\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.60332 | − | 12.2476i | 0.313402 | − | 1.47444i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.15825 | + | 3.01735i | −0.137459 | + | 0.358094i | −0.984980 | − | 0.172668i | \(-0.944761\pi\) |
0.847521 | + | 0.530763i | \(0.178094\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.35679 | + | 4.62547i | 0.275842 | + | 0.541370i | 0.986816 | − | 0.161849i | \(-0.0517456\pi\) |
−0.710974 | + | 0.703218i | \(0.751746\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −4.32336 | + | 9.71043i | −0.499219 | + | 1.12126i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.675769 | − | 3.04416i | −0.0770111 | − | 0.346914i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.04902 | + | 5.57300i | 0.455550 | + | 0.627011i | 0.973579 | − | 0.228352i | \(-0.0733338\pi\) |
−0.518028 | + | 0.855363i | \(0.673334\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 10.9972 | − | 2.33753i | 1.22191 | − | 0.259725i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.52972 | + | 15.9720i | 0.277673 | + | 1.75316i | 0.593962 | + | 0.804493i | \(0.297563\pi\) |
−0.316289 | + | 0.948663i | \(0.602437\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.253498 | + | 0.164624i | −0.0274957 | + | 0.0178559i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 10.1181 | + | 5.84169i | 1.08477 | + | 0.626295i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.46565 | − | 5.46989i | 0.155359 | − | 0.579808i | −0.843715 | − | 0.536791i | \(-0.819636\pi\) |
0.999074 | − | 0.0430168i | \(-0.0136969\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.04499 | − | 3.22482i | 0.109545 | − | 0.338053i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −5.88318 | − | 7.26512i | −0.610057 | − | 0.753357i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.00103151 | + | 0.00114561i | 0.000105831 | + | 0.000117537i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.32225 | − | 4.30987i | −0.540393 | − | 0.437601i | 0.319863 | − | 0.947464i | \(-0.396363\pi\) |
−0.860256 | + | 0.509862i | \(0.829696\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.88860 | + | 1.92725i | −0.491323 | + | 0.193696i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.42285 | − | 2.85964i | −0.639097 | − | 0.284544i | 0.0614939 | − | 0.998107i | \(-0.480414\pi\) |
−0.700591 | + | 0.713563i | \(0.747080\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.32386 | − | 2.37967i | −0.721641 | − | 0.234475i | −0.0749066 | − | 0.997191i | \(-0.523866\pi\) |
−0.646735 | + | 0.762715i | \(0.723866\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.223209 | + | 0.307222i | −0.0217830 | + | 0.0299817i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 12.3025 | + | 11.0772i | 1.18933 | + | 1.07087i | 0.995965 | + | 0.0897459i | \(0.0286055\pi\) |
0.193361 | + | 0.981128i | \(0.438061\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.10271 | + | 4.10271i | 0.392968 | + | 0.392968i | 0.875744 | − | 0.482776i | \(-0.160371\pi\) |
−0.482776 | + | 0.875744i | \(0.660371\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −12.0911 | + | 3.23981i | −1.14764 | + | 0.307509i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 14.4201 | + | 3.06509i | 1.35653 | + | 0.288340i | 0.828074 | − | 0.560619i | \(-0.189437\pi\) |
0.528459 | + | 0.848959i | \(0.322770\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.857330 | + | 0.694252i | −0.0799464 | + | 0.0647393i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −5.64292 | − | 0.889177i | −0.521688 | − | 0.0822045i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.40642 | − | 0.539873i | 0.128926 | − | 0.0494901i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.42566 | + | 5.67071i | −0.856878 | + | 0.515519i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 14.9685 | − | 18.4846i | 1.34966 | − | 1.66670i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.67483 | − | 0.853367i | 0.149801 | − | 0.0763275i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.313292 | + | 2.98078i | −0.0278002 | + | 0.264501i | 0.971789 | + | 0.235851i | \(0.0757877\pi\) |
−0.999589 | + | 0.0286505i | \(0.990879\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 7.67405 | + | 23.6183i | 0.675663 | + | 2.07948i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.36775i | 0.731094i | 0.930793 | + | 0.365547i | \(0.119118\pi\) | ||||
−0.930793 | + | 0.365547i | \(0.880882\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.00384159 | − | 0.00665383i | −0.000333108 | − | 0.000576960i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.509456 | − | 0.259581i | −0.0438470 | − | 0.0223411i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −6.48137 | − | 2.48796i | −0.553740 | − | 0.212561i | 0.0653754 | − | 0.997861i | \(-0.479176\pi\) |
−0.619116 | + | 0.785300i | \(0.712509\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.97060 | − | 1.77434i | 0.167145 | − | 0.150498i | −0.581314 | − | 0.813680i | \(-0.697461\pi\) |
0.748458 | + | 0.663182i | \(0.230794\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −5.13447 | − | 13.3758i | −0.432401 | − | 1.12644i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −11.9577 | + | 0.117163i | −0.999952 | + | 0.00979769i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.368888 | − | 0.960987i | −0.0306345 | − | 0.0798056i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −9.73159 | + | 8.76236i | −0.802648 | + | 0.722708i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.153459 | − | 0.0589072i | −0.0125718 | − | 0.00482587i | 0.352074 | − | 0.935972i | \(-0.385477\pi\) |
−0.364646 | + | 0.931146i | \(0.618810\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.77366 | + | 4.97993i | 0.795369 | + | 0.405261i | 0.803946 | − | 0.594702i | \(-0.202730\pi\) |
−0.00857688 | + | 0.999963i | \(0.502730\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.26933 | − | 2.19854i | −0.102619 | − | 0.177742i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.823640i | 0.0661563i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.512800 | − | 1.57824i | −0.0409259 | − | 0.125957i | 0.928506 | − | 0.371317i | \(-0.121094\pi\) |
−0.969432 | + | 0.245360i | \(0.921094\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −3.09695 | + | 29.4655i | −0.245604 | + | 2.33677i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 4.89897 | − | 2.49615i | 0.386093 | − | 0.196724i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −13.7458 | + | 16.9746i | −1.07665 | + | 1.32956i | −0.135803 | + | 0.990736i | \(0.543362\pi\) |
−0.940851 | + | 0.338821i | \(0.889972\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.27771 | + | 0.402466i | 0.0994695 | + | 0.0313319i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1.04191 | + | 0.399953i | −0.0806256 | + | 0.0309493i | −0.398347 | − | 0.917235i | \(-0.630416\pi\) |
0.317721 | + | 0.948184i | \(0.397083\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.2686 | − | 6.48219i | −0.866815 | − | 0.498630i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.0100620 | + | 0.00814806i | −0.000769462 | + | 0.000623098i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.27807 | − | 0.271663i | −0.0971700 | − | 0.0206541i | 0.159070 | − | 0.987267i | \(-0.449150\pi\) |
−0.256240 | + | 0.966613i | \(0.582484\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.50846 | + | 1.20804i | −0.340808 | + | 0.0913191i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 2.64381 | + | 2.64381i | 0.198721 | + | 0.198721i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 4.08770 | + | 3.68058i | 0.305529 | + | 0.275099i | 0.807605 | − | 0.589724i | \(-0.200764\pi\) |
−0.502076 | + | 0.864824i | \(0.667430\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.08403 | + | 8.37395i | −0.452222 | + | 0.622431i | −0.972873 | − | 0.231339i | \(-0.925689\pi\) |
0.520651 | + | 0.853770i | \(0.325689\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.05052 | − | 1.31609i | −0.299423 | − | 0.0972884i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.00751 | + | 0.448574i | 0.0740738 | + | 0.0329798i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.38143 | − | 4.09966i | −0.247275 | − | 0.299797i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.21466 | + | 1.79340i | 0.161093 | + | 0.130450i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.28653 | − | 6.98190i | −0.454877 | − | 0.505193i | 0.471460 | − | 0.881887i | \(-0.343727\pi\) |
−0.926337 | + | 0.376695i | \(0.877061\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.32284 | − | 10.2779i | −0.599091 | − | 0.739816i | 0.383919 | − | 0.923367i | \(-0.374574\pi\) |
−0.983010 | + | 0.183551i | \(0.941241\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.975307 | + | 1.08147i | 0.0698432 | + | 0.0774454i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 0.243861 | − | 0.910100i | 0.0173743 | − | 0.0648419i | −0.956694 | − | 0.291094i | \(-0.905981\pi\) |
0.974069 | + | 0.226252i | \(0.0726474\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.60690 | + | 1.50509i | 0.184798 | + | 0.106693i | 0.589545 | − | 0.807735i | \(-0.299307\pi\) |
−0.404747 | + | 0.914429i | \(0.632640\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 15.4673 | − | 10.0446i | 1.09098 | − | 0.708490i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.802560 | + | 5.06716i | 0.0563286 | + | 0.355645i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.04978 | + | 0.435695i | −0.143163 | + | 0.0304303i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −5.44609 | − | 7.49590i | −0.378529 | − | 0.521001i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.0179534 | + | 0.0203041i | −0.00124187 | + | 0.00140447i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.02931 | + | 6.80394i | −0.208546 | + | 0.468403i | −0.987288 | − | 0.158942i | \(-0.949192\pi\) |
0.778742 | + | 0.627345i | \(0.215858\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.14168 | + | 6.16589i | 0.215264 | + | 0.422480i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.784095 | − | 2.04264i | 0.0534749 | − | 0.139307i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.853484 | − | 4.01532i | 0.0579382 | − | 0.272578i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 10.7364 | + | 2.87681i | 0.725498 | + | 0.194397i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.908265 | − | 5.70536i | −0.0610965 | − | 0.383784i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.891869 | − | 17.0179i | −0.0597240 | − | 1.13960i | −0.849977 | − | 0.526820i | \(-0.823384\pi\) |
0.790253 | − | 0.612781i | \(-0.209949\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.19919 | + | 7.18549i | 0.213279 | + | 0.479033i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.104503 | − | 1.99404i | 0.00693614 | − | 0.132349i | −0.992967 | − | 0.118396i | \(-0.962225\pi\) |
0.999903 | − | 0.0139538i | \(-0.00444177\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −20.3281 | − | 3.21965i | −1.34332 | − | 0.212760i | −0.556963 | − | 0.830537i | \(-0.688033\pi\) |
−0.786353 | + | 0.617777i | \(0.788033\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −5.81191 | − | 3.28607i | −0.382395 | − | 0.216207i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −0.763464 | + | 0.554689i | −0.0500162 | + | 0.0363389i | −0.612512 | − | 0.790461i | \(-0.709841\pi\) |
0.562496 | + | 0.826800i | \(0.309841\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.390073 | + | 1.20052i | −0.0254456 | + | 0.0783135i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 14.6685 | + | 1.54172i | 0.952821 | + | 0.100146i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1.89496 | + | 3.71908i | −0.122575 | + | 0.240567i | −0.944138 | − | 0.329551i | \(-0.893103\pi\) |
0.821563 | + | 0.570118i | \(0.193103\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.80718 | − | 21.6727i | −0.374073 | − | 1.39606i | −0.854694 | − | 0.519132i | \(-0.826255\pi\) |
0.480621 | − | 0.876929i | \(-0.340411\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.48963 | − | 12.9724i | 0.480460 | − | 0.832181i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.15216 | − | 0.0603821i | 0.0736087 | − | 0.00385767i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.0280150 | + | 0.00912713i | −0.00178255 | + | 0.000580745i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 29.0383 | + | 18.8577i | 1.84023 | + | 1.19506i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 17.1588 | − | 1.80346i | 1.08305 | − | 0.113833i | 0.453852 | − | 0.891077i | \(-0.350050\pi\) |
0.629199 | + | 0.777244i | \(0.283383\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −13.8378 | − | 13.5907i | −0.869973 | − | 0.854440i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.101241 | + | 0.639210i | −0.00633995 | + | 0.0400289i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −0.440754 | − | 2.07359i | −0.0274935 | − | 0.129347i | 0.962260 | − | 0.272130i | \(-0.0877281\pi\) |
−0.989754 | + | 0.142783i | \(0.954395\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.44690 | − | 3.23086i | −0.276317 | − | 0.200756i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 8.22229 | − | 2.67158i | 0.508947 | − | 0.165367i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 15.2307 | − | 8.79347i | 0.939168 | − | 0.542229i | 0.0494684 | − | 0.998776i | \(-0.484247\pi\) |
0.889699 | + | 0.456547i | \(0.150914\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.84579 | − | 1.84579i | 0.113386 | − | 0.113386i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −6.60365 | − | 10.1687i | −0.404137 | − | 0.622316i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 12.9339 | − | 5.75853i | 0.788592 | − | 0.351104i | 0.0273953 | − | 0.999625i | \(-0.491279\pi\) |
0.761197 | + | 0.648521i | \(0.224612\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 13.0521 | − | 20.0985i | 0.792859 | − | 1.22090i | −0.178654 | − | 0.983912i | \(-0.557174\pi\) |
0.971513 | − | 0.236984i | \(-0.0761591\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −3.63406 | − | 6.28290i | −0.219944 | − | 0.380259i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 9.09155 | + | 13.7275i | 0.548241 | + | 0.827797i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.46278 | − | 23.4317i | −0.147974 | − | 1.40788i | −0.776514 | − | 0.630100i | \(-0.783014\pi\) |
0.628540 | − | 0.777777i | \(-0.283653\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −6.90816 | − | 0.362041i | −0.413581 | − | 0.0216748i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 20.5539 | − | 3.25541i | 1.22614 | − | 0.194202i | 0.490420 | − | 0.871486i | \(-0.336844\pi\) |
0.735721 | + | 0.677285i | \(0.236844\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.0859077 | − | 0.0954101i | 0.00510668 | − | 0.00567154i | −0.740586 | − | 0.671962i | \(-0.765452\pi\) |
0.745693 | + | 0.666290i | \(0.232119\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.00330067 | 0.000195515 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 10.4444 | 0.616512 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.65730 | + | 10.7255i | −0.568077 | + | 0.630913i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −14.4828 | + | 2.29385i | −0.848997 | + | 0.134468i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −24.8210 | − | 1.30082i | −1.45006 | − | 0.0759944i | −0.689040 | − | 0.724723i | \(-0.741968\pi\) |
−0.761020 | + | 0.648729i | \(0.775301\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.0344331 | − | 0.327609i | −0.00200477 | − | 0.0190742i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.51790 | − | 9.41711i | 0.204129 | − | 0.546436i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −5.47338 | − | 20.3625i | −0.316534 | − | 1.17759i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.93919 | + | 9.14556i | −0.342329 | + | 0.527141i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −13.7521 | + | 6.12281i | −0.790035 | + | 0.351746i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.204367 | + | 0.314697i | 0.0117020 | + | 0.0180195i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.77640 | − | 8.77640i | 0.500895 | − | 0.500895i | −0.410821 | − | 0.911716i | \(-0.634758\pi\) |
0.911716 | + | 0.410821i | \(0.134758\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −14.2792 | + | 8.24411i | −0.812316 | + | 0.468991i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 14.9120 | − | 4.84520i | 0.845581 | − | 0.274746i | 0.145987 | − | 0.989286i | \(-0.453364\pi\) |
0.699594 | + | 0.714540i | \(0.253364\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 25.7614 | + | 18.7167i | 1.45612 | + | 1.05793i | 0.984353 | + | 0.176209i | \(0.0563834\pi\) |
0.471766 | + | 0.881724i | \(0.343617\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.0584240 | + | 0.274863i | 0.00329182 | + | 0.0154868i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3.53666 | − | 22.3296i | 0.198639 | − | 1.25415i | −0.663768 | − | 0.747939i | \(-0.731044\pi\) |
0.862407 | − | 0.506216i | \(-0.168956\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 16.0506 | − | 8.36111i | 0.898659 | − | 0.468133i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 35.2512 | − | 3.70505i | 1.96753 | − | 0.206796i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.0109815 | − | 0.00713147i | −0.000611027 | − | 0.000396806i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.950920 | + | 17.8742i | 0.0527475 | + | 0.991481i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 12.4059 | − | 0.650168i | 0.686051 | − | 0.0359544i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3.14567 | − | 5.44846i | 0.173426 | − | 0.300383i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −7.46987 | − | 27.8779i | −0.410581 | − | 1.53231i | −0.793525 | − | 0.608538i | \(-0.791756\pi\) |
0.382944 | − | 0.923772i | \(-0.374910\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −4.20521 | + | 8.25319i | −0.230444 | + | 0.452272i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −1.61597 | − | 0.169846i | −0.0882901 | − | 0.00927967i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.73216 | + | 26.8748i | −0.475671 | + | 1.46396i | 0.369380 | + | 0.929278i | \(0.379570\pi\) |
−0.845051 | + | 0.534686i | \(0.820430\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 25.5366 | − | 18.5534i | 1.38696 | − | 1.00768i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −14.3874 | + | 1.64332i | −0.779120 | + | 0.0889908i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.1798 | − | 1.92909i | −0.657646 | − | 0.104161i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.123619 | + | 2.35879i | −0.00665543 | + | 0.126993i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −9.55733 | − | 21.4661i | −0.513064 | − | 1.15236i | −0.965462 | − | 0.260545i | \(-0.916098\pi\) |
0.452397 | − | 0.891817i | \(-0.350569\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.56572 | + | 29.8758i | 0.0838112 | + | 1.59921i | 0.640145 | + | 0.768254i | \(0.278874\pi\) |
−0.556333 | + | 0.830959i | \(0.687792\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 8.48758 | − | 6.88423i | 0.453034 | − | 0.367453i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −17.5442 | − | 4.70095i | −0.933782 | − | 0.250206i | −0.240315 | − | 0.970695i | \(-0.577251\pi\) |
−0.693467 | + | 0.720489i | \(0.743918\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.126763 | − | 0.596371i | 0.00672786 | − | 0.0316521i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.15593 | − | 3.01130i | 0.0611783 | − | 0.159375i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −9.90477 | − | 19.4392i | −0.522754 | − | 1.02596i | −0.989898 | − | 0.141781i | \(-0.954717\pi\) |
0.467145 | − | 0.884181i | \(-0.345283\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.72797 | − | 17.3573i | 0.406735 | − | 0.913542i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −4.48102 | + | 23.1221i | −0.235192 | + | 1.21359i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.575613 | − | 0.792263i | −0.0301290 | − | 0.0414690i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −30.8579 | + | 6.55904i | −1.61077 | + | 0.342379i | −0.923373 | − | 0.383905i | \(-0.874579\pi\) |
−0.687395 | + | 0.726284i | \(0.741246\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −2.75332 | − | 17.3838i | −0.143332 | − | 0.904964i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −10.9111 | + | 7.08573i | −0.566475 | + | 0.367873i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −17.7076 | − | 10.2235i | −0.916863 | − | 0.529351i | −0.0342303 | − | 0.999414i | \(-0.510898\pi\) |
−0.882633 | + | 0.470063i | \(0.844231\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.04166 | − | 3.88752i | 0.0537910 | − | 0.200751i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 19.6482 | + | 1.01414i | 1.01193 | + | 0.0522308i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12.2241 | + | 15.0954i | 0.627907 | + | 0.775401i | 0.987485 | − | 0.157714i | \(-0.0504125\pi\) |
−0.359577 | + | 0.933115i | \(0.617079\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.29404 | + | 4.76902i | 0.219990 | + | 0.244324i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −1.29057 | − | 1.04508i | −0.0659450 | − | 0.0534012i | 0.595781 | − | 0.803147i | \(-0.296843\pi\) |
−0.661726 | + | 0.749746i | \(0.730176\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.215742 | + | 0.547243i | 0.0109952 | + | 0.0278901i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 16.7877 | + | 7.47436i | 0.853366 | + | 0.379943i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −5.36014 | − | 1.74162i | −0.271770 | − | 0.0883034i | 0.169962 | − | 0.985451i | \(-0.445636\pi\) |
−0.441732 | + | 0.897147i | \(0.645636\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.50773 | − | 7.58074i | 0.278538 | − | 0.383374i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 13.3144 | + | 11.9884i | 0.671624 | + | 0.604733i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.918869 | − | 0.918869i | −0.0462333 | − | 0.0462333i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −20.2433 | + | 5.42418i | −1.01598 | + | 0.272232i | −0.728127 | − | 0.685442i | \(-0.759609\pi\) |
−0.287855 | + | 0.957674i | \(0.592942\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.0160911 | − | 0.00342027i | −0.000805562 | − | 0.000171227i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −17.7454 | + | 14.3699i | −0.886161 | + | 0.717599i | −0.960098 | − | 0.279664i | \(-0.909777\pi\) |
0.0739367 | + | 0.997263i | \(0.476444\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −14.3865 | − | 6.39165i | −0.716641 | − | 0.318391i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.98001 | + | 0.760054i | −0.0983874 | + | 0.0377674i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −5.82552 | + | 18.4943i | −0.288760 | + | 0.916727i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −18.6974 | + | 23.0894i | −0.924528 | + | 1.14170i | 0.0650763 | + | 0.997880i | \(0.479271\pi\) |
−0.989604 | + | 0.143817i | \(0.954062\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −13.2445 | + | 6.74841i | −0.653303 | + | 0.332875i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.171615 | + | 1.63281i | −0.00844463 | + | 0.0803453i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.942670 | − | 2.90124i | −0.0462738 | − | 0.142416i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 5.67762i | − | 0.278034i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 9.47878 | + | 16.4177i | 0.463069 | + | 0.802058i | 0.999112 | − | 0.0421321i | \(-0.0134150\pi\) |
−0.536043 | + | 0.844190i | \(0.680082\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.5458 | + | 5.37336i | 0.513972 | + | 0.261882i | 0.691683 | − | 0.722201i | \(-0.256869\pi\) |
−0.177712 | + | 0.984083i | \(0.556869\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −9.89775 | − | 3.79939i | −0.481245 | − | 0.184733i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −5.91136 | + | 5.32261i | −0.286743 | + | 0.258185i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.670208 | − | 1.74595i | −0.0324336 | − | 0.0844925i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −16.9452 | + | 19.1944i | −0.818121 | + | 0.926716i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −1.73408 | − | 4.51743i | −0.0835277 | − | 0.217597i | 0.885455 | − | 0.464725i | \(-0.153847\pi\) |
−0.968983 | + | 0.247128i | \(0.920513\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 25.1022 | − | 22.6021i | 1.20633 | − | 1.08619i | 0.212291 | − | 0.977207i | \(-0.431908\pi\) |
0.994044 | − | 0.108982i | \(-0.0347591\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.05758 | − | 0.789833i | −0.0986536 | − | 0.0378696i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.0425807 | − | 0.0216960i | −0.00203691 | − | 0.00103786i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.20052 | − | 9.00756i | −0.248207 | − | 0.429907i | 0.714821 | − | 0.699307i | \(-0.246508\pi\) |
−0.963028 | + | 0.269400i | \(0.913175\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 9.69010i | 0.461434i | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −4.30285 | − | 13.2428i | −0.204435 | − | 0.629185i | −0.999736 | − | 0.0229710i | \(-0.992687\pi\) |
0.795302 | − | 0.606214i | \(-0.207313\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.111662 | + | 1.06240i | −0.00529331 | + | 0.0503625i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.313589 | + | 0.159781i | −0.0148322 | + | 0.00755740i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −16.5213 | + | 20.4021i | −0.779689 | + | 0.962836i | −0.999920 | − | 0.0126115i | \(-0.995986\pi\) |
0.220231 | + | 0.975448i | \(0.429319\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −11.7005 | − | 34.9364i | −0.550953 | − | 1.64509i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 21.9264 | − | 8.41677i | 1.03019 | − | 0.395454i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.0995369 | + | 0.631684i | −0.00466636 | + | 0.0296138i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −24.2561 | + | 19.6422i | −1.13465 | + | 0.918822i | −0.997425 | − | 0.0717179i | \(-0.977152\pi\) |
−0.137226 | + | 0.990540i | \(0.543819\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 4.75049 | + | 1.00975i | 0.221734 | + | 0.0471310i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 21.5571 | − | 5.77620i | 1.00401 | − | 0.269024i | 0.280887 | − | 0.959741i | \(-0.409371\pi\) |
0.723125 | + | 0.690717i | \(0.242705\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −24.8262 | − | 24.8262i | −1.15377 | − | 1.15377i | −0.985790 | − | 0.167980i | \(-0.946276\pi\) |
−0.167980 | − | 0.985790i | \(-0.553724\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.31054 | + | 1.18002i | 0.0607749 | + | 0.0547220i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −4.62639 | + | 6.36768i | −0.214084 | + | 0.294661i | −0.902531 | − | 0.430626i | \(-0.858293\pi\) |
0.688447 | + | 0.725287i | \(0.258293\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.70204 | + | 2.50254i | 0.355647 | + | 0.115557i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.24591 | − | 1.44517i | −0.149564 | − | 0.0665900i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 37.2453 | + | 9.62115i | 1.71254 | + | 0.442381i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.0315279 | + | 0.0255308i | 0.00144660 | + | 0.00117143i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 14.6700 | + | 16.2926i | 0.671691 | + | 0.745989i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 25.0686 | + | 30.9571i | 1.14541 | + | 1.41447i | 0.894849 | + | 0.446368i | \(0.147283\pi\) |
0.250564 | + | 0.968100i | \(0.419384\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.6538 | + | 14.1171i | −0.713750 | + | 0.643686i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 3.04692 | − | 11.3712i | 0.138640 | − | 0.517410i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.11882 | + | 0.645952i | 0.0508031 | + | 0.0293312i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.0248 | − | 13.6537i | 0.952727 | − | 0.618708i | 0.0281091 | − | 0.999605i | \(-0.491051\pi\) |
0.924617 | + | 0.380897i | \(0.124385\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 7.31595 | + | 46.1911i | 0.330839 | + | 2.08883i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −35.1062 | + | 7.46205i | −1.58432 | + | 0.336758i | −0.914127 | − | 0.405429i | \(-0.867122\pi\) |
−0.670193 | + | 0.742186i | \(0.733789\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 5.13917 | + | 7.07346i | 0.231457 | + | 0.318573i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.853966 | − | 0.503347i | 0.0383829 | − | 0.0226238i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.23596 | + | 2.77601i | −0.0554404 | + | 0.124521i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.64642 | − | 9.11911i | −0.208002 | − | 0.408227i | 0.763311 | − | 0.646031i | \(-0.223572\pi\) |
−0.971313 | + | 0.237804i | \(0.923572\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.856345 | + | 2.23086i | −0.0382587 | + | 0.0996673i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −0.395606 | + | 1.86118i | −0.0176392 | + | 0.0829859i | −0.986087 | − | 0.166232i | \(-0.946840\pi\) |
0.968448 | + | 0.249218i | \(0.0801734\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.28109 | + | 0.343266i | 0.0570076 | + | 0.0152751i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −26.4585 | + | 8.64319i | −1.17507 | + | 0.383858i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.92111 | + | 36.6569i | 0.0851515 | + | 1.62479i | 0.623331 | + | 0.781958i | \(0.285779\pi\) |
−0.538180 | + | 0.842830i | \(0.680888\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.98520 | + | 4.45883i | 0.0878201 | + | 0.197247i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.00129632 | − | 0.0247353i | 5.72340e−5 | − | 0.00109209i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.43480 | + | 0.227250i | 0.0632248 | + | 0.0100138i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −21.7491 | − | 4.41854i | −0.956522 | − | 0.194327i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −2.26333 | + | 1.64441i | −0.0993493 | + | 0.0721815i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −2.94005 | + | 9.04855i | −0.128806 | + | 0.396424i | −0.994575 | − | 0.104019i | \(-0.966830\pi\) |
0.865769 | + | 0.500443i | \(0.166830\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.40683 | − | 0.673385i | −0.280151 | − | 0.0294451i | −0.0365892 | − | 0.999330i | \(-0.511649\pi\) |
−0.243562 | + | 0.969885i | \(0.578316\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −4.53703 | + | 8.90442i | −0.198012 | + | 0.388621i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.81068 | − | 6.75755i | −0.0788745 | − | 0.294364i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.59959 | − | 9.69877i | 0.243460 | − | 0.421686i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.76291 | − | 0.144798i | 0.119900 | − | 0.00628370i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 8.29656 | − | 39.1846i | 0.359364 | − | 1.69727i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.61908 | − | 1.70085i | −0.113233 | − | 0.0735341i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 11.7128 | − | 1.23106i | 0.505443 | − | 0.0531243i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 3.35354 | + | 20.0055i | 0.144447 | + | 0.861697i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.590010 | − | 3.72518i | 0.0253665 | − | 0.160158i | −0.971753 | − | 0.235998i | \(-0.924164\pi\) |
0.997120 | + | 0.0758406i | \(0.0241640\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 4.60778 | + | 21.6779i | 0.197739 | + | 0.930288i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.885484 | − | 0.643342i | −0.0379300 | − | 0.0275577i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.78066 | + | 0.903490i | −0.118892 | + | 0.0386305i | −0.367859 | − | 0.929882i | \(-0.619909\pi\) |
0.248967 | + | 0.968512i | \(0.419909\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −2.72931 | + | 1.57577i | −0.116484 | + | 0.0672521i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.0315310 | − | 0.0315310i | 0.00134327 | − | 0.00134327i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.52741 | + | 5.43174i | 0.150001 | + | 0.230981i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.15720 | − | 0.960448i | 0.0915681 | − | 0.0407687i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 22.6233 | − | 34.8368i | 0.958579 | − | 1.47608i | 0.0809641 | − | 0.996717i | \(-0.474200\pi\) |
0.877615 | − | 0.479366i | \(-0.159133\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 29.5939 | + | 29.5471i | 1.25169 | + | 1.24971i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −11.3677 | − | 0.493132i | −0.479946 | − | 0.0208201i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −2.54533 | − | 24.2172i | −0.107273 | − | 1.02063i | −0.907247 | − | 0.420599i | \(-0.861820\pi\) |
0.799974 | − | 0.600035i | \(-0.204847\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.77720 | − | 0.145547i | −0.116838 | − | 0.00612320i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 10.4403 | − | 1.65358i | 0.438452 | − | 0.0694440i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 8.93350 | − | 9.92166i | 0.374512 | − | 0.415938i | −0.526196 | − | 0.850364i | \(-0.676382\pi\) |
0.900708 | + | 0.434426i | \(0.143049\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 39.3734 | 1.64772 | 0.823862 | − | 0.566791i | \(-0.191815\pi\) | ||||
0.823862 | + | 0.566791i | \(0.191815\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −20.1159 | −0.840355 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −19.4262 | + | 21.5749i | −0.810126 | + | 0.899737i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.12669 | − | 0.336835i | 0.0885353 | − | 0.0140226i | −0.112010 | − | 0.993707i | \(-0.535729\pi\) |
0.200545 | + | 0.979685i | \(0.435729\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −28.2777 | − | 1.48197i | −1.17518 | − | 0.0615887i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.58924 | + | 15.1206i | 0.0659330 | + | 0.627310i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 35.9250 | + | 28.5596i | 1.48786 | + | 1.18282i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1.07762 | 0.000852173i | 0.0445543 | 3.52330e-5i | ||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 6.29336 | − | 9.69092i | 0.259755 | − | 0.399987i | −0.684598 | − | 0.728920i | \(-0.740022\pi\) |
0.944353 | + | 0.328933i | \(0.106689\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.0325953 | + | 0.0145123i | −0.00134306 | + | 0.000597971i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1.09874 | − | 1.69191i | −0.0451960 | − | 0.0695958i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −13.4004 | + | 13.4004i | −0.550288 | + | 0.550288i | −0.926524 | − | 0.376236i | \(-0.877218\pi\) |
0.376236 | + | 0.926524i | \(0.377218\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.246111 | + | 0.142092i | −0.0100896 | + | 0.00582521i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 6.12971 | − | 1.99167i | 0.250873 | − | 0.0815134i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −2.92583 | − | 2.12574i | −0.119546 | − | 0.0868554i | 0.526406 | − | 0.850234i | \(-0.323539\pi\) |
−0.645952 | + | 0.763378i | \(0.723539\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.903563 | + | 4.25093i | 0.0368571 | + | 0.173399i | 0.992726 | − | 0.120394i | \(-0.0384157\pi\) |
−0.955869 | + | 0.293793i | \(0.905082\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 2.13488 | − | 13.4791i | 0.0869390 | − | 0.548911i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.58884 | − | 1.33471i | 0.0645954 | − | 0.0542638i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 14.7059 | − | 1.54566i | 0.596896 | − | 0.0627363i | 0.198737 | − | 0.980053i | \(-0.436316\pi\) |
0.398159 | + | 0.917317i | \(0.369649\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 9.21247 | + | 5.98265i | 0.373308 | + | 0.242429i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −17.9424 | − | 16.1297i | −0.725872 | − | 0.652539i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −31.9342 | + | 1.67360i | −1.28981 | + | 0.0675960i | −0.684864 | − | 0.728671i | \(-0.740138\pi\) |
−0.604945 | + | 0.796267i | \(0.706805\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −2.24344 | + | 3.88575i | −0.0904641 | + | 0.156688i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.72038 | − | 6.42054i | −0.0692598 | − | 0.258481i | 0.922611 | − | 0.385732i | \(-0.126051\pi\) |
−0.991871 | + | 0.127251i | \(0.959385\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.10914 | − | 13.9525i | 0.285740 | − | 0.560797i | −0.702866 | − | 0.711322i | \(-0.748097\pi\) |
0.988606 | + | 0.150526i | \(0.0480966\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 17.6283 | + | 1.85281i | 0.707399 | + | 0.0743506i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.64526 | − | 5.06358i | 0.0659159 | − | 0.202868i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 19.7946 | − | 14.3816i | 0.791784 | − | 0.575265i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.00658548 | + | 0.0576562i | 0.000262999 | + | 0.00230257i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −9.25228 | − | 1.46542i | −0.368912 | − | 0.0584300i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.489259 | + | 9.33563i | −0.0194771 | + | 0.371645i | 0.971450 | + | 0.237245i | \(0.0762443\pi\) |
−0.990927 | + | 0.134401i | \(0.957089\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 6.48610 | + | 14.5680i | 0.257799 | + | 0.579027i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −0.0295905 | − | 0.564621i | −0.00117426 | − | 0.0224063i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −7.88634 | + | 20.5933i | −0.312468 | + | 0.815935i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 4.94626 | + | 1.32535i | 0.195671 | + | 0.0524298i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 3.16590 | − | 14.8944i | 0.125046 | − | 0.588293i | −0.870349 | − | 0.492435i | \(-0.836107\pi\) |
0.995395 | − | 0.0958585i | \(-0.0305596\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7.18109 | − | 18.7074i | 0.283195 | − | 0.737747i | −0.716018 | − | 0.698081i | \(-0.754037\pi\) |
0.999213 | − | 0.0396658i | \(-0.0126293\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.12680 | − | 4.17408i | −0.0837427 | − | 0.164354i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −14.4407 | + | 32.4344i | −0.567723 | + | 1.27513i | 0.370415 | + | 0.928866i | \(0.379215\pi\) |
−0.938138 | + | 0.346261i | \(0.887451\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.65399 | − | 1.25512i | 0.221939 | − | 0.0492679i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −5.16625 | − | 7.11073i | −0.202481 | − | 0.278691i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −14.3790 | + | 3.05636i | −0.562695 | + | 0.119605i | −0.480473 | − | 0.877010i | \(-0.659535\pi\) |
−0.0822221 | + | 0.996614i | \(0.526202\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.246933 | − | 1.55907i | −0.00964846 | − | 0.0609180i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.89801 | − | 4.47962i | 0.269117 | − | 0.174767i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −26.4838 | − | 15.2904i | −1.03166 | − | 0.595631i | −0.114203 | − | 0.993457i | \(-0.536431\pi\) |
−0.917461 | + | 0.397826i | \(0.869765\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.11588 | + | 30.2889i | −0.315671 | + | 1.17810i | 0.607692 | + | 0.794173i | \(0.292096\pi\) |
−0.923363 | + | 0.383928i | \(0.874571\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −10.3794 | − | 6.72879i | −0.403102 | − | 0.261325i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.000912116 | 0.00112637i | 3.53703e−5 | 4.36787e-5i | ||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 21.3524 | + | 23.7143i | 0.826769 | + | 0.918220i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −28.3559 | − | 22.9622i | −1.09630 | − | 0.887769i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −5.08939 | + | 4.19777i | −0.196474 | + | 0.162053i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.518130 | − | 0.230686i | −0.0199725 | − | 0.00889231i | 0.396726 | − | 0.917937i | \(-0.370146\pi\) |
−0.416699 | + | 0.909045i | \(0.636813\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −14.3108 | − | 4.64985i | −0.550821 | − | 0.178973i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 18.3723 | − | 25.2874i | 0.706106 | − | 0.971872i | −0.293766 | − | 0.955877i | \(-0.594909\pi\) |
0.999872 | − | 0.0159945i | \(-0.00509143\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.78501 | − | 4.30844i | −0.183632 | − | 0.165343i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.02312 | − | 3.02312i | −0.115846 | − | 0.115846i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 30.9097 | − | 8.28222i | 1.18273 | − | 0.316910i | 0.386718 | − | 0.922198i | \(-0.373609\pi\) |
0.796007 | + | 0.605288i | \(0.206942\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.28102 | + | 0.272290i | 0.0489453 | + | 0.0104037i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −34.2467 | + | 27.7324i | −1.30659 | + | 1.05806i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 17.9165 | + | 46.5641i | 0.682566 | + | 1.77395i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.06797 | − | 3.09700i | 0.306920 | − | 0.117816i | −0.200033 | − | 0.979789i | \(-0.564105\pi\) |
0.506953 | + | 0.861974i | \(0.330772\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.68475 | + | 1.56896i | −0.177959 | + | 0.0595998i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.314800 | + | 0.388746i | −0.0119411 | + | 0.0147460i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 15.8596 | − | 8.08088i | 0.600726 | − | 0.306085i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −0.211206 | + | 2.00949i | −0.00798853 | + | 0.0760058i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 8.78963 | + | 27.0517i | 0.331980 | + | 1.02173i | 0.968191 | + | 0.250213i | \(0.0805008\pi\) |
−0.636211 | + | 0.771515i | \(0.719499\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.0477757i | 0.00180190i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.35137 | + | 2.34064i | 0.0508955 | + | 0.0881536i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −5.88972 | − | 3.00096i | −0.221506 | − | 0.112863i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.86829 | − | 2.63649i | −0.257944 | − | 0.0990155i | 0.225960 | − | 0.974137i | \(-0.427448\pi\) |
−0.483904 | + | 0.875121i | \(0.660782\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 8.11078 | − | 7.30298i | 0.304178 | − | 0.273883i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −9.15033 | − | 23.8374i | −0.342683 | − | 0.892719i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.22449 | − | 0.374702i | 0.0831911 | − | 0.0140130i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 3.20275 | + | 8.34346i | 0.119609 | + | 0.311592i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −18.3739 | + | 16.5439i | −0.685231 | + | 0.616984i | −0.936390 | − | 0.350961i | \(-0.885855\pi\) |
0.251159 | + | 0.967946i | \(0.419188\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.75930 | − | 2.59465i | −0.251730 | − | 0.0966299i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −42.8046 | − | 21.8100i | −1.59192 | − | 0.811123i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −13.5446 | − | 23.4599i | −0.503034 | − | 0.871281i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.95510i | 0.183774i | 0.995769 | + | 0.0918872i | \(0.0292899\pi\) | ||||
−0.995769 | + | 0.0918872i | \(0.970710\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.511830 | + | 1.57525i | 0.0189567 | + | 0.0583426i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −1.94260 | + | 18.4826i | −0.0718496 | + | 0.683603i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 27.0544 | − | 13.7849i | 0.999276 | − | 0.509157i | 0.123743 | − | 0.992314i | \(-0.460510\pi\) |
0.875533 | + | 0.483158i | \(0.160510\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 1.55460 | − | 1.91978i | 0.0573424 | − | 0.0708120i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −0.257310 | − | 28.5668i | −0.00947812 | − | 1.05227i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −41.1710 | + | 15.8041i | −1.51450 | + | 0.581361i | −0.966850 | − | 0.255347i | \(-0.917810\pi\) |
−0.547649 | + | 0.836708i | \(0.684477\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.0256140 | + | 0.0576526i | −0.000940954 | + | 0.00211792i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 24.4759 | − | 19.8202i | 0.897934 | − | 0.727133i | −0.0647097 | − | 0.997904i | \(-0.520612\pi\) |
0.962644 | + | 0.270772i | \(0.0872788\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.0303306 | + | 0.00644697i | 0.00111123 | + | 0.000236199i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 24.7481 | − | 6.63123i | 0.905485 | − | 0.242624i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 11.0058 | + | 11.0058i | 0.402142 | + | 0.402142i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 13.2153 | + | 11.8991i | 0.482233 | + | 0.434204i | 0.874048 | − | 0.485840i | \(-0.161486\pi\) |
−0.391815 | + | 0.920044i | \(0.628153\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 21.7135 | − | 29.8861i | 0.791285 | − | 1.08911i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −1.96798 | − | 0.639434i | −0.0716220 | − | 0.0232714i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −32.7788 | − | 14.5940i | −1.19136 | − | 0.530430i | −0.287306 | − | 0.957839i | \(-0.592760\pi\) |
−0.904058 | + | 0.427409i | \(0.859426\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −41.4501 | + | 2.54687i | −1.50454 | + | 0.0924454i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 17.9333 | + | 14.5221i | 0.650081 | + | 0.526425i | 0.896673 | − | 0.442694i | \(-0.145977\pi\) |
−0.246592 | + | 0.969119i | \(0.579311\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.65017 | + | 4.05392i | 0.132145 | + | 0.146762i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.301379 | + | 0.372172i | 0.0108964 | + | 0.0134559i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 5.98955 | + | 1.94089i | 0.216270 | + | 0.0700813i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1.46373 | + | 5.46272i | −0.0527835 | + | 0.196991i | −0.987283 | − | 0.158975i | \(-0.949181\pi\) |
0.934499 | + | 0.355965i | \(0.115848\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3.93087 | − | 2.26949i | −0.141567 | − | 0.0817336i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −28.3342 | + | 18.4005i | −1.01911 | + | 0.661819i | −0.942142 | − | 0.335215i | \(-0.891191\pi\) |
−0.0769698 | + | 0.997033i | \(0.524525\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.39079 | + | 21.4086i | 0.121801 | + | 0.769019i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −11.5118 | + | 2.44691i | −0.412984 | + | 0.0877825i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −0.0533592 | − | 0.0734427i | −0.00191179 | − | 0.00263136i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.6703 | + | 1.02442i | 0.381815 | + | 0.0366566i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −6.72713 | + | 15.1094i | −0.240408 | + | 0.539965i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.142118 | + | 0.278923i | 0.00507242 | + | 0.00995519i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −13.4412 | + | 35.0155i | −0.479126 | + | 1.24817i | 0.454765 | + | 0.890611i | \(0.349723\pi\) |
−0.933892 | + | 0.357556i | \(0.883610\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 7.82906 | − | 36.8328i | 0.278722 | − | 1.31128i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 13.3883 | + | 3.58738i | 0.476033 | + | 0.127553i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.08274 | + | 1.12754i | −0.251515 | + | 0.0400400i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.292508 | − | 5.58138i | −0.0103742 | − | 0.197951i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −12.4336 | − | 27.9263i | −0.440420 | − | 0.989200i | −0.988283 | − | 0.152632i | \(-0.951225\pi\) |
0.547863 | − | 0.836568i | \(-0.315442\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.561142 | − | 10.7072i | 0.0198518 | − | 0.378794i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −8.86162 | − | 1.40354i | −0.313110 | − | 0.0495918i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 12.6908 | − | 11.6356i | 0.447850 | − | 0.410610i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.839111 | + | 0.609650i | −0.0295748 | + | 0.0214873i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 9.36744 | − | 28.8300i | 0.329749 | − | 1.01486i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −3.13873 | − | 0.329894i | −0.110352 | − | 0.0115985i | 0.0491915 | − | 0.998789i | \(-0.484336\pi\) |
−0.159543 | + | 0.987191i | \(0.551002\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 8.35801 | − | 16.4035i | 0.293489 | − | 0.576006i | −0.696432 | − | 0.717623i | \(-0.745230\pi\) |
0.989921 | + | 0.141617i | \(0.0452302\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −13.2803 | − | 49.5628i | −0.465761 | − | 1.73824i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 2.06018 | − | 3.56834i | 0.0721650 | − | 0.124994i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.0946523 | − | 0.00496052i | 0.00331146 | − | 0.000173547i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −5.25440 | − | 1.11252i | −0.183604 | − | 0.0388745i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −9.98058 | − | 6.48146i | −0.348325 | − | 0.226205i | 0.358604 | − | 0.933490i | \(-0.383253\pi\) |
−0.706928 | + | 0.707285i | \(0.749920\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 52.1682 | − | 5.48310i | 1.81847 | − | 0.191129i | 0.866883 | − | 0.498511i | \(-0.166120\pi\) |
0.951586 | + | 0.307382i | \(0.0994530\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 34.8679 | + | 5.20105i | 1.21394 | + | 0.181077i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −3.10096 | + | 19.5787i | −0.107831 | + | 0.680817i | 0.873258 | + | 0.487258i | \(0.162003\pi\) |
−0.981089 | + | 0.193559i | \(0.937997\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −7.92960 | − | 37.3058i | −0.275406 | − | 1.29569i | −0.870556 | − | 0.492070i | \(-0.836240\pi\) |
0.595149 | − | 0.803615i | \(-0.297093\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −40.8120 | − | 29.6517i | −1.41575 | − | 1.02861i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −9.32014 | + | 3.02830i | −0.322924 | + | 0.104924i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.182326 | − | 0.105266i | 0.00630964 | − | 0.00364287i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 9.35778 | − | 9.35778i | 0.323452 | − | 0.323452i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 4.82661 | + | 7.43233i | 0.166633 | + | 0.256592i | 0.912116 | − | 0.409932i | \(-0.134448\pi\) |
−0.745483 | + | 0.666525i | \(0.767781\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.708312 | + | 0.315361i | −0.0244246 | + | 0.0108745i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 24.2673 | − | 37.3684i | 0.835812 | − | 1.28704i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 2.29084 | + | 0.875218i | 0.0788074 | + | 0.0301084i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −9.12882 | + | 4.86045i | −0.313670 | + | 0.167007i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −0.0287340 | − | 0.273386i | −0.000986147 | − | 0.00938257i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −34.1425 | − | 1.78933i | −1.17039 | − | 0.0613375i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 37.3408 | − | 5.91420i | 1.27852 | − | 0.202498i | 0.520013 | − | 0.854158i | \(-0.325927\pi\) |
0.758512 | + | 0.651660i | \(0.225927\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.00163430 | − | 0.00181507i | 5.58918e−5 | − | 6.20741e-5i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −8.83344 | −0.301745 | −0.150872 | − | 0.988553i | \(-0.548208\pi\) | ||||
−0.150872 | + | 0.988553i | \(0.548208\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 34.2215 | 1.16762 | 0.583811 | − | 0.811889i | \(-0.301561\pi\) | ||||
0.583811 | + | 0.811889i | \(0.301561\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 14.9635 | − | 16.6187i | 0.509955 | − | 0.566363i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 1.60127 | − | 0.253616i | 0.0545079 | − | 0.00863320i | −0.129121 | − | 0.991629i | \(-0.541216\pi\) |
0.183629 | + | 0.982996i | \(0.441216\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.246146 | + | 0.0129000i | 0.00836922 | + | 0.000438612i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 3.23013 | + | 30.7326i | 0.109701 | + | 1.04373i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 14.2175 | − | 17.8842i | 0.482296 | − | 0.606679i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 15.5070 | − | 26.9081i | 0.525436 | − | 0.911747i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −5.90962 | + | 9.10002i | −0.200010 | + | 0.307989i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 1.61449 | − | 0.718818i | 0.0545798 | − | 0.0243005i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 20.2557 | + | 31.1910i | 0.683986 | + | 1.05325i | 0.994708 | + | 0.102745i | \(0.0327626\pi\) |
−0.310722 | + | 0.950501i | \(0.600571\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −37.6305 | + | 37.6305i | −1.26925 | + | 1.26925i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 22.8226 | − | 13.1766i | 0.768912 | − | 0.443932i | −0.0635741 | − | 0.997977i | \(-0.520250\pi\) |
0.832487 | + | 0.554045i | \(0.186917\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −28.9078 | + | 9.39273i | −0.972826 | + | 0.316090i | −0.751956 | − | 0.659213i | \(-0.770890\pi\) |
−0.220870 | + | 0.975303i | \(0.570890\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.570610 | − | 0.414573i | −0.0191809 | − | 0.0139357i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −6.33379 | − | 29.7981i | −0.212668 | − | 1.00052i | −0.946876 | − | 0.321599i | \(-0.895780\pi\) |
0.734208 | − | 0.678924i | \(-0.237554\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.440823 | + | 2.78325i | −0.0147847 | + | 0.0933471i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −17.2271 | − | 33.0704i | −0.577131 | − | 1.10790i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −0.0543833 | + | 0.00571591i | −0.00181987 | + | 0.000191276i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.870230 | − | 0.565134i | −0.0290886 | − | 0.0188903i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −40.2416 | − | 20.4641i | −1.34363 | − | 0.683275i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 23.7921 | − | 1.24689i | 0.793511 | − | 0.0415861i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −11.0860 | + | 19.2015i | −0.369329 | + | 0.639696i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 6.04303 | + | 22.5529i | 0.201100 | + | 0.750514i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0.886455 | − | 1.73977i | 0.0294668 | − | 0.0578318i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 12.1952 | + | 1.28177i | 0.404936 | + | 0.0425605i | 0.304808 | − | 0.952414i | \(-0.401408\pi\) |
0.100129 | + | 0.994974i | \(0.468075\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −3.44221 | + | 10.5940i | −0.114171 | + | 0.351382i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −40.3741 | + | 29.3335i | −1.33765 | + | 0.971863i | −0.338128 | + | 0.941100i | \(0.609794\pi\) |
−0.999527 | + | 0.0307625i | \(0.990206\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 48.7982 | − | 22.2551i | 1.61498 | − | 0.736537i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0.793527 | + | 0.125682i | 0.0262332 | + | 0.00415493i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −0.411742 | + | 7.85651i | −0.0135969 | + | 0.259445i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 11.5075 | + | 25.8463i | 0.379597 | + | 0.852589i | 0.997783 | + | 0.0665570i | \(0.0212014\pi\) |
−0.618185 | + | 0.786032i | \(0.712132\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −1.39082 | − | 26.5385i | −0.0458291 | − | 0.874472i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 9.43307 | + | 6.84214i | 0.310493 | + | 0.225212i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 28.0346 | + | 7.51185i | 0.921773 | + | 0.246988i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −2.53671 | + | 11.9343i | −0.0833165 | + | 0.391973i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 7.96590 | − | 20.7519i | 0.261353 | − | 0.680847i | −0.738625 | − | 0.674117i | \(-0.764524\pi\) |
0.999977 | − | 0.00673021i | \(-0.00214231\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.0226904 | + | 0.0445323i | 0.000743647 | + | 0.00145949i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 13.6547 | − | 30.6690i | 0.447035 | − | 1.00406i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0.751006 | + | 0.664059i | 0.0245605 | + | 0.0217170i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −9.89376 | − | 13.6176i | −0.323215 | − | 0.444867i | 0.616230 | − | 0.787566i | \(-0.288659\pi\) |
−0.939445 | + | 0.342699i | \(0.888659\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 66.6893 | − | 14.1752i | 2.17632 | − | 0.462592i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 1.21435 | + | 7.66712i | 0.0395868 | + | 0.249941i | 0.999544 | − | 0.0302067i | \(-0.00961657\pi\) |
−0.959957 | + | 0.280148i | \(0.909617\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 54.4836 | − | 35.3820i | 1.77423 | − | 1.15220i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.465557 | − | 0.268789i | −0.0151446 | − | 0.00874372i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 10.7296 | − | 40.0435i | 0.348666 | − | 1.30124i | −0.539605 | − | 0.841918i | \(-0.681427\pi\) |
0.888271 | − | 0.459320i | \(-0.151907\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 18.3053 | − | 3.90605i | 0.594216 | − | 0.126796i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −30.4630 | − | 37.6187i | −0.987831 | − | 1.21987i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 13.6365 | + | 15.1449i | 0.441731 | + | 0.490592i | 0.922360 | − | 0.386332i | \(-0.126258\pi\) |
−0.480629 | + | 0.876924i | \(0.659591\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.37734 | + | 1.11535i | 0.0445696 | + | 0.0360917i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 9.69155 | − | 37.5178i | 0.313283 | − | 1.21278i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −5.96295 | − | 2.65488i | −0.192554 | − | 0.0857305i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 11.3524 | + | 3.68862i | 0.366207 | + | 0.118988i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 15.4169 | − | 21.2195i | 0.496801 | − | 0.683789i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.85400 | + | 1.66935i | 0.0596825 | + | 0.0537384i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 37.6779 | + | 37.6779i | 1.21164 | + | 1.21164i | 0.970487 | + | 0.241154i | \(0.0775258\pi\) |
0.241154 | + | 0.970487i | \(0.422474\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.0270803 | + | 0.00725616i | −0.000869946 | + | 0.000233101i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −20.3956 | − | 4.33523i | −0.654528 | − | 0.139124i | −0.131334 | − | 0.991338i | \(-0.541926\pi\) |
−0.523193 | + | 0.852214i | \(0.675259\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.93752 | − | 1.56897i | 0.0621139 | − | 0.0502988i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 29.8030 | + | 24.0950i | 0.954461 | + | 0.771658i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 1.36717 | − | 0.524808i | 0.0437397 | − | 0.0167901i | −0.336400 | − | 0.941719i | \(-0.609209\pi\) |
0.380139 | + | 0.924929i | \(0.375876\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −18.7808 | + | 0.169164i | −0.600237 | + | 0.00540651i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 5.78516 | − | 7.14408i | 0.184706 | − | 0.228093i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 47.4174 | − | 24.1604i | 1.51238 | − | 0.770596i | 0.516080 | − | 0.856540i | \(-0.327391\pi\) |
0.996300 | + | 0.0859441i | \(0.0273907\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.0185788 | + | 0.176765i | −0.000591969 | + | 0.00563221i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −4.16261 | − | 12.8112i | −0.132497 | − | 0.407785i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 67.8282i | 2.15681i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −24.1012 | − | 41.7445i | −0.765601 | − | 1.32606i | −0.939928 | − | 0.341372i | \(-0.889109\pi\) |
0.174328 | − | 0.984688i | \(-0.444225\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −55.0602 | − | 28.0546i | −1.74728 | − | 0.890285i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −0.530131 | − | 0.203498i | −0.0168063 | − | 0.00645132i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −31.5608 | + | 28.4175i | −0.999542 | + | 0.899992i | −0.994988 | − | 0.0999979i | \(-0.968116\pi\) |
−0.00455446 | + | 0.999990i | \(0.501450\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −6.35039 | − | 16.5433i | −0.200917 | − | 0.523408i |
(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 | 572.2.bv.a.41.12 | ✓ | 224 | |
11.7 | odd | 10 | inner | 572.2.bv.a.249.3 | yes | 224 | |
13.7 | odd | 12 | inner | 572.2.bv.a.85.3 | yes | 224 | |
143.7 | even | 60 | inner | 572.2.bv.a.293.12 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bv.a.41.12 | ✓ | 224 | 1.1 | even | 1 | trivial | |
572.2.bv.a.85.3 | yes | 224 | 13.7 | odd | 12 | inner | |
572.2.bv.a.249.3 | yes | 224 | 11.7 | odd | 10 | inner | |
572.2.bv.a.293.12 | yes | 224 | 143.7 | even | 60 | inner |