Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(5,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.s (of order \(22\), degree \(10\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.18 | ||
Character | \(\chi\) | \(=\) | 804.5 |
Dual form | 804.2.s.b.161.18 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.54953 | + | 0.773916i | 0.894624 | + | 0.446820i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.03558 | − | 0.891328i | 1.35755 | − | 0.398614i | 0.479655 | − | 0.877457i | \(-0.340762\pi\) |
0.877900 | + | 0.478843i | \(0.158944\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.25477 | − | 1.08727i | −0.474259 | − | 0.410948i | 0.384661 | − | 0.923058i | \(-0.374318\pi\) |
−0.858920 | + | 0.512110i | \(0.828864\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.80211 | + | 2.39842i | 0.600703 | + | 0.799472i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.88696 | + | 0.554063i | −0.568941 | + | 0.167056i | −0.553536 | − | 0.832825i | \(-0.686722\pi\) |
−0.0154049 | + | 0.999881i | \(0.504904\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.265744 | − | 0.413506i | −0.0737042 | − | 0.114686i | 0.802445 | − | 0.596726i | \(-0.203532\pi\) |
−0.876149 | + | 0.482040i | \(0.839896\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.39355 | + | 0.968143i | 1.39261 | + | 0.249974i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.11532 | + | 0.304138i | 0.513042 | + | 0.0737642i | 0.393973 | − | 0.919122i | \(-0.371100\pi\) |
0.119068 | + | 0.992886i | \(0.462009\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.38841 | + | 5.06450i | 1.00677 | + | 1.16188i | 0.986778 | + | 0.162076i | \(0.0518189\pi\) |
0.0199928 | + | 0.999800i | \(0.493636\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.10286 | − | 2.65584i | −0.240664 | − | 0.579552i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.82102 | − | 2.65837i | 1.21377 | − | 0.554309i | 0.297440 | − | 0.954740i | \(-0.403867\pi\) |
0.916327 | + | 0.400432i | \(0.131140\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.21404 | − | 2.70820i | 0.842809 | − | 0.541640i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.936257 | + | 5.11111i | 0.180183 | + | 0.983633i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 9.06475i | − | 1.68328i | −0.540038 | − | 0.841641i | \(-0.681590\pi\) | ||
0.540038 | − | 0.841641i | \(-0.318410\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.35609 | + | 5.22218i | −0.602772 | + | 0.937931i | 0.397026 | + | 0.917808i | \(0.370042\pi\) |
−0.999797 | + | 0.0201238i | \(0.993594\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.35271 | − | 0.601812i | −0.583632 | − | 0.104762i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −4.77808 | − | 2.18207i | −0.807642 | − | 0.368838i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.61322 | −1.25161 | −0.625803 | − | 0.779981i | \(-0.715228\pi\) | ||||
−0.625803 | + | 0.779981i | \(0.715228\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.0917608 | − | 0.846405i | −0.0146935 | − | 0.135533i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.191141 | − | 1.32941i | 0.0298512 | − | 0.207619i | −0.969437 | − | 0.245340i | \(-0.921100\pi\) |
0.999288 | + | 0.0377203i | \(0.0120096\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.41972 | − | 0.491681i | −0.521502 | − | 0.0749807i | −0.123463 | − | 0.992349i | \(-0.539400\pi\) |
−0.398039 | + | 0.917369i | \(0.630309\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 7.60823 | + | 5.67433i | 1.13417 | + | 0.845879i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4.53234 | − | 2.06985i | 0.661110 | − | 0.301919i | −0.0564606 | − | 0.998405i | \(-0.517982\pi\) |
0.717570 | + | 0.696486i | \(0.245254\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.603899 | − | 4.20021i | −0.0862713 | − | 0.600030i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.04239 | + | 2.10835i | 0.426020 | + | 0.295229i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.353730 | + | 2.46024i | 0.0485885 | + | 0.337941i | 0.999587 | + | 0.0287444i | \(0.00915089\pi\) |
−0.950998 | + | 0.309196i | \(0.899940\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.23419 | + | 3.36381i | −0.705778 | + | 0.453576i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.88050 | + | 11.2439i | 0.381532 | + | 1.48929i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.69949 | + | 2.64446i | −0.221255 | + | 0.344280i | −0.934081 | − | 0.357061i | \(-0.883779\pi\) |
0.712826 | + | 0.701341i | \(0.247415\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.44051 | − | 8.31163i | 0.312476 | − | 1.06419i | −0.642197 | − | 0.766539i | \(-0.721977\pi\) |
0.954673 | − | 0.297656i | \(-0.0962047\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.346481 | − | 4.96884i | 0.0436524 | − | 0.626015i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.17526 | − | 1.01837i | −0.145773 | − | 0.126313i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.02999 | + | 1.58723i | −0.981019 | + | 0.193911i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 11.0772 | + | 0.385743i | 1.33354 | + | 0.0464380i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −15.3838 | + | 2.21185i | −1.82572 | + | 0.262499i | −0.967878 | − | 0.251419i | \(-0.919103\pi\) |
−0.857840 | + | 0.513917i | \(0.828194\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.08429 | + | 1.49288i | 0.595071 | + | 0.174729i | 0.565380 | − | 0.824830i | \(-0.308729\pi\) |
0.0296911 | + | 0.999559i | \(0.490548\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 8.62572 | − | 0.935135i | 0.996012 | − | 0.107980i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.97012 | + | 1.35641i | 0.338477 | + | 0.154577i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.14758 | − | 1.78567i | −0.129113 | − | 0.200904i | 0.770678 | − | 0.637225i | \(-0.219918\pi\) |
−0.899791 | + | 0.436321i | \(0.856281\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.50480 | + | 8.64442i | −0.278312 | + | 0.960491i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.84309 | + | 9.68269i | 0.312070 | + | 1.06281i | 0.954930 | + | 0.296830i | \(0.0959294\pi\) |
−0.642860 | + | 0.765984i | \(0.722252\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.69233 | − | 0.962212i | 0.725886 | − | 0.104367i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 7.01535 | − | 14.0461i | 0.752124 | − | 1.50590i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −4.82981 | − | 2.20570i | −0.511959 | − | 0.233804i | 0.142647 | − | 0.989774i | \(-0.454438\pi\) |
−0.654607 | + | 0.755970i | \(0.727166\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.116143 | + | 0.807790i | −0.0121751 | + | 0.0846794i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −9.24190 | + | 5.49461i | −0.958341 | + | 0.569765i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 17.8355 | + | 11.4622i | 1.82989 | + | 1.17600i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.2013i | 1.34039i | 0.742186 | + | 0.670194i | \(0.233789\pi\) | ||||
−0.742186 | + | 0.670194i | \(0.766211\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.72939 | − | 3.52724i | −0.475321 | − | 0.354501i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 7.61191 | + | 8.78461i | 0.757413 | + | 0.874102i | 0.995265 | − | 0.0971999i | \(-0.0309886\pi\) |
−0.237852 | + | 0.971302i | \(0.576443\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −11.4173 | − | 7.33743i | −1.12498 | − | 0.722978i | −0.160471 | − | 0.987041i | \(-0.551301\pi\) |
−0.964506 | + | 0.264062i | \(0.914938\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −5.71505 | − | 7.07903i | −0.557732 | − | 0.690842i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0.0498318 | − | 0.169712i | 0.00481742 | − | 0.0164066i | −0.957049 | − | 0.289926i | \(-0.906369\pi\) |
0.961867 | + | 0.273519i | \(0.0881876\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.55064 | − | 13.3050i | −0.819002 | − | 1.27439i | −0.958763 | − | 0.284207i | \(-0.908270\pi\) |
0.139761 | − | 0.990185i | \(-0.455367\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −11.7969 | − | 5.89199i | −1.11972 | − | 0.559243i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.48008 | + | 0.728216i | 0.233306 | + | 0.0685048i | 0.396296 | − | 0.918123i | \(-0.370296\pi\) |
−0.162990 | + | 0.986628i | \(0.552114\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 15.3007 | − | 13.2582i | 1.42680 | − | 1.23633i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.512859 | − | 1.38255i | 0.0474139 | − | 0.127817i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2.32357 | − | 2.68154i | −0.213001 | − | 0.245817i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.00014 | + | 3.85606i | −0.545467 | + | 0.350551i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.32503 | − | 1.91204i | 0.119474 | − | 0.172403i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.0191479 | − | 0.0220978i | 0.00171264 | − | 0.00197649i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.82859 | + | 10.1887i | −0.783411 | + | 0.904104i | −0.997351 | − | 0.0727426i | \(-0.976825\pi\) |
0.213940 | + | 0.976847i | \(0.431370\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −4.91845 | − | 3.40845i | −0.433045 | − | 0.300097i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.01060 | − | 2.74495i | 0.525149 | − | 0.239827i | −0.135157 | − | 0.990824i | \(-0.543154\pi\) |
0.660306 | + | 0.750997i | \(0.270427\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 11.1262i | − | 0.964761i | ||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 7.39776 | + | 14.6807i | 0.636698 | + | 1.26351i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.98287 | − | 10.9110i | −0.425716 | − | 0.932187i | −0.994003 | − | 0.109357i | \(-0.965121\pi\) |
0.568287 | − | 0.822830i | \(-0.307606\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.49570 | − | 5.09389i | −0.126864 | − | 0.432058i | 0.871426 | − | 0.490528i | \(-0.163196\pi\) |
−0.998289 | + | 0.0584699i | \(0.981378\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 8.62490 | + | 0.300346i | 0.726348 | + | 0.0252937i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.730558 | + | 0.633032i | 0.0610923 | + | 0.0529368i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.07966 | − | 27.5168i | −0.670980 | − | 2.28515i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.31485 | − | 6.97573i | 0.190925 | − | 0.575349i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 6.69588 | − | 5.80202i | 0.548548 | − | 0.475320i | −0.335939 | − | 0.941884i | \(-0.609054\pi\) |
0.884487 | + | 0.466564i | \(0.154508\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.234723 | − | 1.63254i | 0.0191015 | − | 0.132854i | −0.978039 | − | 0.208421i | \(-0.933168\pi\) |
0.997141 | + | 0.0755670i | \(0.0240767\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.08260 | + | 5.62152i | 0.249213 | + | 0.454473i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.53302 | + | 18.8438i | −0.444423 | + | 1.51357i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.06444 | + | 6.71020i | 0.244569 | + | 0.535532i | 0.991613 | − | 0.129243i | \(-0.0412547\pi\) |
−0.747044 | + | 0.664775i | \(0.768527\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −1.35591 | + | 4.08599i | −0.107530 | + | 0.324040i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −10.1944 | − | 2.99335i | −0.803432 | − | 0.235909i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −18.5314 | −1.45149 | −0.725745 | − | 0.687963i | \(-0.758505\pi\) | ||||
−0.725745 | + | 0.687963i | \(0.758505\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −10.7139 | + | 1.16151i | −0.834072 | + | 0.0904238i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 0.789841 | − | 0.684402i | 0.0611198 | − | 0.0529606i | −0.623765 | − | 0.781612i | \(-0.714398\pi\) |
0.684885 | + | 0.728651i | \(0.259852\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.30003 | − | 11.6054i | 0.407694 | − | 0.892726i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.23838 | + | 19.6520i | −0.324117 | + | 1.50283i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −5.09001 | + | 7.92020i | −0.386986 | + | 0.602162i | −0.979023 | − | 0.203749i | \(-0.934687\pi\) |
0.592037 | + | 0.805911i | \(0.298324\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.23219 | − | 1.18361i | −0.622295 | − | 0.0894726i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.68002 | + | 2.78242i | −0.351771 | + | 0.209140i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.21859 | − | 2.66834i | 0.0910818 | − | 0.199441i | −0.858609 | − | 0.512632i | \(-0.828671\pi\) |
0.949690 | + | 0.313191i | \(0.101398\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.89978 | + | 8.53932i | 0.289868 | + | 0.634723i | 0.997408 | − | 0.0719506i | \(-0.0229224\pi\) |
−0.707540 | + | 0.706673i | \(0.750195\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 10.2142 | − | 10.9904i | 0.755052 | − | 0.812433i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −23.1106 | + | 6.78587i | −1.69912 | + | 0.498907i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.16005 | + | 0.598125i | −0.304213 | + | 0.0437392i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 4.38234 | − | 7.43123i | 0.318769 | − | 0.540543i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.522401 | − | 1.14390i | 0.0377996 | − | 0.0827696i | −0.889790 | − | 0.456370i | \(-0.849149\pi\) |
0.927590 | + | 0.373600i | \(0.121877\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.79049 | − | 1.79334i | −0.200864 | − | 0.129087i | 0.436342 | − | 0.899781i | \(-0.356274\pi\) |
−0.637206 | + | 0.770693i | \(0.719910\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.03297 | − | 2.48755i | −0.0739727 | − | 0.178137i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.73971 | − | 19.0551i | −0.195197 | − | 1.35762i | −0.817989 | − | 0.575235i | \(-0.804911\pi\) |
0.622792 | − | 0.782388i | \(-0.285998\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −15.6841 | + | 18.1004i | −1.11181 | + | 1.28310i | −0.156444 | + | 0.987687i | \(0.550003\pi\) |
−0.955369 | + | 0.295414i | \(0.904542\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −13.6711 | − | 3.75507i | −0.964286 | − | 0.264862i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −9.85579 | + | 11.3742i | −0.691741 | + | 0.798311i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.604719 | − | 4.20592i | −0.0422354 | − | 0.293754i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 16.8660 | + | 9.17056i | 1.17227 | + | 0.637398i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −11.0868 | − | 7.12507i | −0.766892 | − | 0.492851i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.24189 | − | 11.4781i | 0.360867 | − | 0.790188i | −0.638915 | − | 0.769278i | \(-0.720616\pi\) |
0.999781 | − | 0.0209101i | \(-0.00665639\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −25.5495 | − | 8.47840i | −1.75062 | − | 0.580931i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −10.8191 | + | 1.55555i | −0.737856 | + | 0.106088i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.88903 | − | 2.90368i | 0.671311 | − | 0.197115i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 6.72292 | + | 6.24808i | 0.454293 | + | 0.422206i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.436372 | − | 0.955522i | −0.0293536 | − | 0.0642754i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.49959 | + | 18.6115i | −0.569175 | + | 1.24632i | 0.378061 | + | 0.925781i | \(0.376591\pi\) |
−0.947236 | + | 0.320538i | \(0.896136\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 14.0896 | + | 5.22656i | 0.939304 | + | 0.348437i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.499215 | + | 0.0717763i | 0.0331341 | + | 0.00476396i | 0.158862 | − | 0.987301i | \(-0.449218\pi\) |
−0.125728 | + | 0.992065i | \(0.540127\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.32943 | − | 14.5169i | 0.616506 | − | 0.959302i | −0.382864 | − | 0.923805i | \(-0.625062\pi\) |
0.999370 | − | 0.0354972i | \(-0.0113015\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 3.55256 | + | 4.40042i | 0.233741 | + | 0.289527i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −3.47909 | + | 7.61814i | −0.227923 | + | 0.499081i | −0.988696 | − | 0.149937i | \(-0.952093\pi\) |
0.760773 | + | 0.649018i | \(0.224820\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 11.9134 | − | 10.3230i | 0.777144 | − | 0.673399i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.396257 | − | 3.65509i | −0.0257397 | − | 0.237424i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 22.3180 | 1.44363 | 0.721814 | − | 0.692087i | \(-0.243308\pi\) | ||||
0.721814 | + | 0.692087i | \(0.243308\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.56454 | + | 1.92752i | 0.422859 | + | 0.124163i | 0.486237 | − | 0.873827i | \(-0.338369\pi\) |
−0.0633779 | + | 0.997990i | \(0.520187\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −10.5713 | + | 11.4563i | −0.678151 | + | 0.734923i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −5.57695 | − | 12.2118i | −0.356298 | − | 0.780185i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.928005 | − | 3.16050i | 0.0590476 | − | 0.201098i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −3.08811 | + | 17.2040i | −0.195701 | + | 1.09026i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.72705 | + | 12.0119i | −0.109010 | + | 0.758183i | 0.859845 | + | 0.510555i | \(0.170560\pi\) |
−0.968855 | + | 0.247628i | \(0.920349\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −9.51115 | + | 8.24146i | −0.597961 | + | 0.518136i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 11.1147 | + | 3.68832i | 0.696028 | + | 0.230972i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −4.41723 | − | 15.0437i | −0.275539 | − | 0.938400i | −0.974715 | − | 0.223451i | \(-0.928268\pi\) |
0.699176 | − | 0.714950i | \(-0.253550\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.55285 | + | 8.27759i | 0.593585 | + | 0.514344i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 21.7410 | − | 16.3357i | 1.34574 | − | 1.01115i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −5.74550 | − | 19.5674i | −0.354282 | − | 1.20658i | −0.923245 | − | 0.384212i | \(-0.874473\pi\) |
0.568963 | − | 0.822363i | \(-0.307345\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.26666 | + | 7.15299i | 0.200669 | + | 0.439405i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.77693 | − | 7.15568i | −0.353543 | − | 0.437920i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 13.4572i | 0.820497i | 0.911974 | + | 0.410249i | \(0.134558\pi\) | ||||
−0.911974 | + | 0.410249i | \(0.865442\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 29.4231 | − | 13.4371i | 1.78733 | − | 0.816245i | 0.816168 | − | 0.577815i | \(-0.196095\pi\) |
0.971160 | − | 0.238430i | \(-0.0766326\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.805128 | + | 1.16181i | −0.0487286 | + | 0.0703161i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −6.45123 | + | 7.44512i | −0.389024 | + | 0.448958i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.6975 | − | 13.4996i | 0.702834 | − | 0.811114i | −0.286298 | − | 0.958141i | \(-0.592425\pi\) |
0.989133 | + | 0.147026i | \(0.0469702\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −18.5730 | + | 1.36163i | −1.11194 | + | 0.0815189i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −19.2147 | + | 12.3486i | −1.14626 | + | 0.736654i | −0.968890 | − | 0.247491i | \(-0.920394\pi\) |
−0.177366 | + | 0.984145i | \(0.556758\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.67257 | − | 3.08431i | −0.158868 | − | 0.183343i | 0.670735 | − | 0.741697i | \(-0.265979\pi\) |
−0.829603 | + | 0.558354i | \(0.811433\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 18.7660 | + | 31.5643i | 1.11160 | + | 1.86971i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.68526 | + | 1.46029i | −0.0994779 | + | 0.0861981i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.9293 | − | 3.50275i | −0.701722 | − | 0.206044i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −10.2167 | + | 20.4558i | −0.598913 | + | 1.19914i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 5.44028 | + | 8.46524i | 0.317825 | + | 0.494545i | 0.963004 | − | 0.269486i | \(-0.0868539\pi\) |
−0.645180 | + | 0.764031i | \(0.723218\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.80187 | + | 9.54230i | −0.163131 | + | 0.555574i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −4.59856 | − | 9.12573i | −0.266835 | − | 0.529529i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2.64615 | − | 1.70058i | −0.153031 | − | 0.0983471i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.75638 | + | 4.33509i | 0.216514 | + | 0.249870i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 4.99636 | + | 19.5030i | 0.287034 | + | 1.12042i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | − | 27.4060i | − | 1.56926i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −11.2516 | − | 7.23094i | −0.642161 | − | 0.412692i | 0.178633 | − | 0.983916i | \(-0.442832\pi\) |
−0.820794 | + | 0.571224i | \(0.806469\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −12.0129 | − | 20.2056i | −0.683389 | − | 1.14946i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 3.74884 | − | 26.0738i | 0.212577 | − | 1.47851i | −0.551928 | − | 0.833892i | \(-0.686108\pi\) |
0.764506 | − | 0.644617i | \(-0.222983\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.46340 | + | 3.86511i | 0.478380 | + | 0.218469i | 0.639986 | − | 0.768387i | \(-0.278940\pi\) |
−0.161606 | + | 0.986855i | \(0.551667\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −3.37709 | − | 15.3922i | −0.190278 | − | 0.867250i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 29.9478 | − | 4.30584i | 1.68203 | − | 0.241840i | 0.765971 | − | 0.642875i | \(-0.222259\pi\) |
0.916063 | + | 0.401035i | \(0.131349\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.02244 | + | 17.1048i | 0.281202 | + | 0.957688i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.208559 | − | 0.224408i | 0.0116406 | − | 0.0125252i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 7.74261 | + | 12.0477i | 0.430811 | + | 0.670354i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.23971 | − | 1.02284i | −0.124237 | − | 0.0567371i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.95251 | − | 27.2341i | −0.163274 | − | 1.50605i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −7.93753 | − | 2.33067i | −0.437610 | − | 0.128494i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −24.4599 | + | 3.51681i | −1.34444 | + | 0.193301i | −0.776681 | − | 0.629894i | \(-0.783098\pi\) |
−0.567758 | + | 0.823195i | \(0.692189\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −13.7198 | − | 18.2597i | −0.751843 | − | 1.00062i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −22.9610 | + | 11.9755i | −1.25449 | + | 0.654293i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.09098 | − | 5.27786i | −0.331797 | − | 0.287503i | 0.472990 | − | 0.881068i | \(-0.343175\pi\) |
−0.804786 | + | 0.593565i | \(0.797720\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.27939 | + | 3.04777i | 0.178112 | + | 0.165532i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.43941 | − | 11.7135i | 0.186254 | − | 0.634324i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.0924 | + | 15.7040i | −0.544937 | + | 0.847938i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 33.9697 | − | 8.70248i | 1.82887 | − | 0.468526i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 18.3774 | − | 11.8104i | 0.986551 | − | 0.634018i | 0.0553285 | − | 0.998468i | \(-0.482379\pi\) |
0.931223 | + | 0.364450i | \(0.118743\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.30080 | + | 22.9575i | 0.176688 | + | 1.22889i | 0.864362 | + | 0.502870i | \(0.167723\pi\) |
−0.687674 | + | 0.726019i | \(0.741368\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.86467 | − | 1.74539i | 0.0995286 | − | 0.0931623i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 4.36249 | + | 30.3418i | 0.232192 | + | 1.61493i | 0.688588 | + | 0.725152i | \(0.258231\pi\) |
−0.456397 | + | 0.889776i | \(0.650860\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −44.7273 | + | 20.4263i | −2.37388 | + | 1.08411i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −1.52516 | − | 5.95339i | −0.0807202 | − | 0.315087i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 32.0809 | + | 4.61254i | 1.69317 | + | 0.243441i | 0.920324 | − | 0.391156i | \(-0.127925\pi\) |
0.772843 | + | 0.634597i | \(0.218834\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.68700 | + | 25.6436i | −0.194052 | + | 1.34966i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −12.2817 | + | 1.33149i | −0.644621 | + | 0.0698849i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 16.7644 | 0.877491 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 20.5231 | + | 9.37259i | 1.07130 | + | 0.489245i | 0.871401 | − | 0.490571i | \(-0.163212\pi\) |
0.199897 | + | 0.979817i | \(0.435939\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 3.53294 | − | 1.93731i | 0.183918 | − | 0.100852i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.23109 | − | 3.47164i | 0.115832 | − | 0.180239i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 27.4560i | − | 1.42162i | −0.703386 | − | 0.710808i | \(-0.748330\pi\) | ||
0.703386 | − | 0.710808i | \(-0.251670\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.0467721 | − | 0.0194225i | 0.00241530 | − | 0.00100297i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −3.74833 | + | 2.40890i | −0.193049 | + | 0.124065i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 24.4741 | − | 11.1769i | 1.25715 | − | 0.574121i | 0.328298 | − | 0.944574i | \(-0.393525\pi\) |
0.928851 | + | 0.370454i | \(0.120798\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −21.5654 | + | 8.95521i | −1.10483 | + | 0.458789i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.40639 | + | 1.62306i | 0.0718631 | + | 0.0829344i | 0.790543 | − | 0.612407i | \(-0.209799\pi\) |
−0.718680 | + | 0.695341i | \(0.755253\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 10.2251 | + | 1.47014i | 0.521117 | + | 0.0749254i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −4.98345 | − | 9.08797i | −0.253323 | − | 0.461967i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −13.8927 | − | 21.6175i | −0.704388 | − | 1.09605i | −0.990455 | − | 0.137839i | \(-0.955984\pi\) |
0.286066 | − | 0.958210i | \(-0.407652\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 13.1219 | − | 3.85293i | 0.663601 | − | 0.194851i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 11.4380 | + | 0.398306i | 0.576970 | + | 0.0200919i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −5.07520 | − | 4.39769i | −0.255361 | − | 0.221272i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −18.8203 | + | 5.52612i | −0.944561 | + | 0.277348i | −0.717521 | − | 0.696537i | \(-0.754723\pi\) |
−0.227041 | + | 0.973885i | \(0.572905\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 8.61071 | − | 17.2404i | 0.431075 | − | 0.863098i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 35.2908 | 1.76234 | 0.881169 | − | 0.472801i | \(-0.156757\pi\) | ||||
0.881169 | + | 0.472801i | \(0.156757\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.05126 | 0.151994 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.101469 | + | 28.4735i | 0.00504202 | + | 1.41486i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 14.3659 | − | 4.21820i | 0.712089 | − | 0.209088i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 17.4769 | + | 15.1438i | 0.864178 | + | 0.748815i | 0.969362 | − | 0.245638i | \(-0.0789975\pi\) |
−0.105183 | + | 0.994453i | \(0.533543\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.723040 | − | 20.7632i | 0.0356649 | − | 1.02418i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 5.00771 | − | 1.47040i | 0.246413 | − | 0.0723535i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 17.2609 | + | 26.8585i | 0.847305 | + | 1.31843i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1.62460 | − | 9.05070i | 0.0795570 | − | 0.443215i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 3.08530 | + | 0.443600i | 0.150727 | + | 0.0216713i | 0.217265 | − | 0.976113i | \(-0.430286\pi\) |
−0.0665382 | + | 0.997784i | \(0.521195\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.87434 | + | 6.77935i | 0.286298 | + | 0.330406i | 0.880621 | − | 0.473821i | \(-0.157126\pi\) |
−0.594323 | + | 0.804226i | \(0.702580\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 13.1321 | + | 7.14034i | 0.638506 | + | 0.347175i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 9.73773 | − | 4.44707i | 0.472350 | − | 0.215715i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.0992 | + | 7.77571i | −0.585523 | + | 0.376293i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.642111 | + | 1.54629i | 0.0310014 | + | 0.0746558i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 9.40488i | 0.453017i | 0.974009 | + | 0.226508i | \(0.0727311\pi\) | ||||
−0.974009 | + | 0.226508i | \(0.927269\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.59786 | − | 13.3785i | 0.413187 | − | 0.642931i | −0.570817 | − | 0.821077i | \(-0.693374\pi\) |
0.984004 | + | 0.178146i | \(0.0570100\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 8.77597 | − | 48.8912i | 0.420776 | − | 2.34415i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 39.0084 | + | 17.8145i | 1.86602 | + | 0.852184i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 33.0069 | 1.57533 | 0.787667 | − | 0.616101i | \(-0.211289\pi\) | ||||
0.787667 | + | 0.616101i | \(0.211289\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 8.98556 | − | 9.01764i | 0.427884 | − | 0.429411i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 4.12806 | − | 28.7113i | 0.196130 | − | 1.36411i | −0.619252 | − | 0.785192i | \(-0.712564\pi\) |
0.815382 | − | 0.578923i | \(-0.196527\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −16.6273 | − | 2.39065i | −0.788210 | − | 0.113328i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 14.8658 | − | 3.80837i | 0.703127 | − | 0.180130i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.06841 | − | 2.31467i | 0.239193 | − | 0.109236i | −0.292212 | − | 0.956353i | \(-0.594391\pi\) |
0.531405 | + | 0.847118i | \(0.321664\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.375902 | + | 2.61446i | 0.0177005 | + | 0.123110i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.62716 | − | 2.34802i | 0.0764505 | − | 0.110319i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.367445 | + | 2.55564i | 0.0172261 | + | 0.119810i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 27.5754 | − | 17.7216i | 1.28992 | − | 0.828982i | 0.297844 | − | 0.954615i | \(-0.403732\pi\) |
0.992077 | + | 0.125633i | \(0.0400961\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.426007 | + | 11.0964i | 0.0198843 | + | 0.517936i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −10.4093 | + | 16.1972i | −0.484810 | + | 0.754379i | −0.994360 | − | 0.106062i | \(-0.966176\pi\) |
0.509549 | + | 0.860441i | \(0.329812\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.57771 | − | 12.1846i | 0.166270 | − | 0.566265i | −0.833632 | − | 0.552320i | \(-0.813743\pi\) |
0.999903 | − | 0.0139452i | \(-0.00443904\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −23.1571 | + | 24.9169i | −1.07388 | + | 1.15550i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 9.15972 | + | 7.93694i | 0.423861 | + | 0.367278i | 0.840516 | − | 0.541787i | \(-0.182252\pi\) |
−0.416654 | + | 0.909065i | \(0.636797\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.8015 | + | 6.73912i | 0.544944 | + | 0.311184i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.444666 | + | 12.7693i | −0.0204891 | + | 0.588378i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 6.72530 | − | 0.966953i | 0.309230 | − | 0.0444605i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 32.2086 | + | 9.45731i | 1.47783 | + | 0.433931i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.26323 | + | 5.28202i | −0.240987 | + | 0.241847i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 10.5795 | + | 4.83151i | 0.483391 | + | 0.220757i | 0.642178 | − | 0.766556i | \(-0.278031\pi\) |
−0.158787 | + | 0.987313i | \(0.550758\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.02317 | + | 3.14811i | 0.0922485 | + | 0.143541i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −13.4800 | − | 12.5279i | −0.613360 | − | 0.570039i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 11.7667 | + | 40.0736i | 0.534298 | + | 1.81965i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 19.4795 | − | 2.80073i | 0.882702 | − | 0.126913i | 0.313967 | − | 0.949434i | \(-0.398342\pi\) |
0.568735 | + | 0.822521i | \(0.307433\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −28.7150 | − | 14.3417i | −1.29854 | − | 0.648556i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13.2953 | − | 6.07174i | −0.600006 | − | 0.274014i | 0.0921686 | − | 0.995743i | \(-0.470620\pi\) |
−0.692175 | + | 0.721730i | \(0.743347\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.75693 | − | 19.1749i | 0.124166 | − | 0.863593i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −17.5004 | − | 6.49181i | −0.786584 | − | 0.291785i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 21.7080 | + | 13.9509i | 0.973737 | + | 0.625783i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 28.0049i | 1.25367i | 0.779152 | + | 0.626835i | \(0.215650\pi\) | ||||
−0.779152 | + | 0.626835i | \(0.784350\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.75355 | − | 0.449233i | 0.0783431 | − | 0.0200702i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −19.7335 | − | 22.7737i | −0.879874 | − | 1.01543i | −0.999744 | − | 0.0226388i | \(-0.992793\pi\) |
0.119870 | − | 0.992790i | \(-0.461752\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 30.9366 | + | 19.8817i | 1.37666 | + | 0.884725i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 17.1942 | − | 13.8812i | 0.763621 | − | 0.616488i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −9.53776 | + | 32.4826i | −0.422754 | + | 1.43977i | 0.422969 | + | 0.906144i | \(0.360988\pi\) |
−0.845723 | + | 0.533622i | \(0.820830\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.75646 | − | 7.40120i | −0.210414 | − | 0.327410i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −21.7765 | + | 27.1713i | −0.961457 | + | 1.19964i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −41.1981 | − | 12.0969i | −1.81541 | − | 0.533051i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −7.40553 | + | 6.41693i | −0.325695 | + | 0.282216i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −14.0167 | + | 8.33339i | −0.615265 | + | 0.365795i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −1.50801 | − | 1.74034i | −0.0660672 | − | 0.0762457i | 0.721754 | − | 0.692150i | \(-0.243336\pi\) |
−0.787821 | + | 0.615904i | \(0.788791\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −17.2890 | + | 11.1110i | −0.755994 | + | 0.485848i | −0.860988 | − | 0.508625i | \(-0.830154\pi\) |
0.104994 | + | 0.994473i | \(0.466518\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −11.8400 | − | 8.20507i | −0.516742 | − | 0.358099i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −8.68749 | + | 10.0259i | −0.378433 | + | 0.436735i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.7555 | − | 13.5666i | 0.511111 | − | 0.589853i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −9.40520 | + | 0.689519i | −0.408151 | + | 0.0299226i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.600515 | + | 0.274246i | −0.0260112 | + | 0.0118789i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 0.559590i | − | 0.0241932i | ||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 3.95332 | − | 3.19160i | 0.170598 | − | 0.137728i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 3.46671 | + | 7.59105i | 0.149322 | + | 0.326969i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.57439 | + | 15.5790i | 0.196669 | + | 0.669792i | 0.997485 | + | 0.0708815i | \(0.0225812\pi\) |
−0.800816 | + | 0.598910i | \(0.795601\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.565877 | + | 16.2501i | −0.0242841 | + | 0.697357i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −37.8153 | − | 32.7672i | −1.61983 | − | 1.40359i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.529705 | − | 1.80401i | −0.0226485 | − | 0.0771338i | 0.947393 | − | 0.320072i | \(-0.103707\pi\) |
−0.970042 | + | 0.242938i | \(0.921889\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 24.3328 | − | 9.12509i | 1.03850 | − | 0.389449i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 45.9084 | − | 39.7799i | 1.95576 | − | 1.69468i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.501547 | + | 3.48834i | −0.0213280 | + | 0.148339i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −41.0623 | − | 7.37069i | −1.74300 | − | 0.312868i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −6.93447 | + | 23.6166i | −0.293823 | + | 1.00067i | 0.671802 | + | 0.740731i | \(0.265521\pi\) |
−0.965625 | + | 0.259939i | \(0.916298\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.705457 | + | 1.54473i | 0.0298376 | + | 0.0653353i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6.90904 | − | 2.29271i | −0.291700 | − | 0.0967985i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −33.1018 | − | 9.71955i | −1.39507 | − | 0.409630i | −0.504083 | − | 0.863655i | \(-0.668170\pi\) |
−0.890989 | + | 0.454025i | \(0.849988\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.17756 | 0.344033 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 12.5417 | − | 8.12338i | 0.526703 | − | 0.341150i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −24.9932 | + | 21.6567i | −1.04777 | + | 0.907897i | −0.995873 | − | 0.0907554i | \(-0.971072\pi\) |
−0.0518959 | + | 0.998653i | \(0.516526\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −14.8373 | + | 32.4892i | −0.620922 | + | 1.35963i | 0.293925 | + | 0.955828i | \(0.405038\pi\) |
−0.914847 | + | 0.403800i | \(0.867689\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1.69476 | − | 1.36821i | 0.0707995 | − | 0.0571580i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 17.3306 | − | 26.9670i | 0.722737 | − | 1.12460i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.17105 | + | 1.31860i | 0.381796 | + | 0.0548940i | 0.330541 | − | 0.943792i | \(-0.392769\pi\) |
0.0512549 | + | 0.998686i | \(0.483678\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −2.93607 | − | 4.93845i | −0.122019 | − | 0.205235i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.96022 | − | 15.2408i | 0.288759 | − | 0.632294i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.03060 | − | 4.44640i | −0.0840991 | − | 0.184151i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.324525 | − | 4.65397i | 0.0134174 | − | 0.192418i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 16.8520 | − | 4.94820i | 0.695557 | − | 0.204234i | 0.0852039 | − | 0.996364i | \(-0.472846\pi\) |
0.610353 | + | 0.792130i | \(0.291028\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −41.1756 | + | 5.92016i | −1.69661 | + | 0.243936i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 10.5018 | − | 31.6469i | 0.431986 | − | 1.30178i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1.40647 | + | 3.07974i | −0.0577569 | + | 0.126470i | −0.936310 | − | 0.351175i | \(-0.885782\pi\) |
0.878553 | + | 0.477645i | \(0.158509\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −9.44353 | − | 6.06899i | −0.387147 | − | 0.248804i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −38.3111 | + | 15.9090i | −1.56797 | + | 0.651112i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −1.19705 | − | 8.32568i | −0.0489102 | − | 0.340178i | −0.999553 | − | 0.0298910i | \(-0.990484\pi\) |
0.950643 | − | 0.310287i | \(-0.100425\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.82435 | − | 7.87571i | 0.278371 | − | 0.321257i | −0.599297 | − | 0.800527i | \(-0.704553\pi\) |
0.877668 | + | 0.479270i | \(0.159098\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −18.2778 | − | 16.3989i | −0.744328 | − | 0.667815i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −14.7769 | + | 17.0535i | −0.600768 | + | 0.693323i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.16796 | + | 22.0337i | 0.128584 | + | 0.894319i | 0.947352 | + | 0.320194i | \(0.103748\pi\) |
−0.818768 | + | 0.574124i | \(0.805343\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −24.0745 | + | 9.99714i | −0.975549 | + | 0.405104i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.06034 | − | 1.32410i | −0.0833523 | − | 0.0535673i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.49055 | + | 9.83293i | −0.181372 | + | 0.397148i | −0.978379 | − | 0.206822i | \(-0.933688\pi\) |
0.797007 | + | 0.603970i | \(0.206415\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 2.31799 | − | 6.98521i | 0.0934704 | − | 0.281671i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −26.6415 | + | 3.83047i | −1.07255 | + | 0.154209i | −0.655891 | − | 0.754856i | \(-0.727707\pi\) |
−0.416655 | + | 0.909065i | \(0.636798\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.5222 | − | 3.08959i | 0.422922 | − | 0.124181i | −0.0633442 | − | 0.997992i | \(-0.520177\pi\) |
0.486266 | + | 0.873811i | \(0.338358\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 19.0372 | + | 27.2629i | 0.763936 | + | 1.09402i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 3.66213 | + | 8.01894i | 0.146720 | + | 0.321272i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −10.3661 | + | 22.6987i | −0.414646 | + | 0.907948i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −11.6652 | − | 19.6208i | −0.465864 | − | 0.783579i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −16.1044 | − | 2.31547i | −0.642126 | − | 0.0923237i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.61806 | − | 5.62981i | 0.144033 | − | 0.224119i | −0.761740 | − | 0.647882i | \(-0.775655\pi\) |
0.905773 | + | 0.423763i | \(0.139291\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 17.0056 | − | 13.7290i | 0.675912 | − | 0.545678i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −17.7184 | + | 38.7979i | −0.703134 | + | 1.53965i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.57633 | + | 1.36590i | −0.0624564 | + | 0.0541188i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −33.0282 | − | 32.9107i | −1.30658 | − | 1.30193i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 38.4911 | 1.52031 | 0.760153 | − | 0.649744i | \(-0.225124\pi\) | ||||
0.760153 | + | 0.649744i | \(0.225124\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −17.8153 | − | 5.23103i | −0.702565 | − | 0.206292i | −0.0891106 | − | 0.996022i | \(-0.528402\pi\) |
−0.613455 | + | 0.789730i | \(0.710221\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −17.9684 | − | 5.96268i | −0.707505 | − | 0.234780i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −6.81847 | − | 14.9304i | −0.268062 | − | 0.586973i | 0.726955 | − | 0.686685i | \(-0.240935\pi\) |
−0.995016 | + | 0.0997123i | \(0.968208\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.74168 | − | 5.93163i | 0.0683671 | − | 0.232837i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 17.5706 | + | 3.15392i | 0.688645 | + | 0.123612i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −2.92846 | + | 20.3679i | −0.114599 | + | 0.797056i | 0.848748 | + | 0.528798i | \(0.177357\pi\) |
−0.963347 | + | 0.268258i | \(0.913552\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 15.7990 | − | 13.6899i | 0.617320 | − | 0.534911i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 5.58189 | + | 14.8846i | 0.217770 | + | 0.580703i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −7.65218 | − | 26.0609i | −0.298087 | − | 1.01519i | −0.963276 | − | 0.268515i | \(-0.913467\pi\) |
0.665189 | − | 0.746675i | \(-0.268351\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.502433 | − | 0.435361i | −0.0195424 | − | 0.0169336i | 0.645035 | − | 0.764153i | \(-0.276843\pi\) |
−0.664577 | + | 0.747220i | \(0.731388\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.0633198 | − | 1.81833i | 0.00245914 | − | 0.0706181i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −9.91706 | − | 33.7744i | −0.384567 | − | 1.30972i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −24.0975 | − | 52.7661i | −0.933057 | − | 2.04311i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −27.5741 | + | 22.2612i | −1.06608 | + | 0.860667i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 17.0359i | 0.657665i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −25.8441 | + | 11.8026i | −0.996218 | + | 0.454958i | −0.845705 | − | 0.533650i | \(-0.820820\pi\) |
−0.150513 | + | 0.988608i | \(0.548093\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 17.7873 | + | 19.0029i | 0.684635 | + | 0.731420i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −16.5731 | + | 19.1264i | −0.636956 | + | 0.735086i | −0.978834 | − | 0.204658i | \(-0.934392\pi\) |
0.341878 | + | 0.939744i | \(0.388937\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.3533 | − | 16.5646i | 0.550830 | − | 0.635691i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.718002 | + | 0.497570i | 0.0275139 | + | 0.0190669i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −8.34714 | + | 5.36438i | −0.319395 | + | 0.205262i | −0.690507 | − | 0.723325i | \(-0.742613\pi\) |
0.371113 | + | 0.928588i | \(0.378976\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −24.8512 | − | 28.6798i | −0.949515 | − | 1.09580i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 25.6911 | − | 15.2742i | 0.980177 | − | 0.582747i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.923324 | − | 0.800065i | 0.0351758 | − | 0.0304800i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 34.4370 | + | 10.1116i | 1.31005 | + | 0.384664i | 0.860891 | − | 0.508789i | \(-0.169907\pi\) |
0.449156 | + | 0.893454i | \(0.351725\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.09925 | + | 9.56799i | 0.0797439 | + | 0.363458i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −9.08065 | − | 14.1298i | −0.344449 | − | 0.535973i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.808649 | − | 2.75401i | 0.0306298 | − | 0.104315i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −11.2868 | + | 9.11204i | −0.426904 | + | 0.344649i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −16.4770 | − | 10.5891i | −0.622329 | − | 0.399946i | 0.191134 | − | 0.981564i | \(-0.438784\pi\) |
−0.813462 | + | 0.581618i | \(0.802420\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −33.4099 | − | 38.5571i | −1.26008 | − | 1.45421i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 26.4493 | − | 6.77589i | 0.996139 | − | 0.255195i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | − | 19.2989i | − | 0.725808i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.83525 | − | 1.17944i | −0.0689242 | − | 0.0442949i | 0.505725 | − | 0.862695i | \(-0.331225\pi\) |
−0.574649 | + | 0.818400i | \(0.694861\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.21472 | − | 5.97036i | 0.0830584 | − | 0.223906i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −5.65338 | + | 39.3202i | −0.211721 | + | 1.47255i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.78191 | + | 1.27046i | 0.104037 | + | 0.0475123i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 34.5824 | + | 17.2722i | 1.29150 | + | 0.645043i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 38.6622 | − | 5.55878i | 1.44186 | − | 0.207308i | 0.623412 | − | 0.781893i | \(-0.285746\pi\) |
0.818444 | + | 0.574586i | \(0.194837\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 6.34832 | + | 21.6204i | 0.236424 | + | 0.805186i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 8.68023 | + | 8.06716i | 0.322821 | + | 0.300021i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −24.5492 | − | 38.1992i | −0.911733 | − | 1.41868i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 32.1464 | + | 14.6808i | 1.19224 | + | 0.544480i | 0.909898 | − | 0.414833i | \(-0.136160\pi\) |
0.282346 | + | 0.959313i | \(0.408887\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −25.2468 | + | 9.57062i | −0.935068 | + | 0.354468i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −7.08427 | − | 2.08013i | −0.262021 | − | 0.0769364i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 38.3382 | − | 5.51219i | 1.41605 | − | 0.203598i | 0.608575 | − | 0.793496i | \(-0.291742\pi\) |
0.807477 | + | 0.589899i | \(0.200832\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.809244 | − | 23.2387i | 0.0298494 | − | 0.857173i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 14.2729 | − | 7.44416i | 0.525748 | − | 0.274209i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −29.6209 | − | 25.6666i | −1.08962 | − | 0.944162i | −0.0909584 | − | 0.995855i | \(-0.528993\pi\) |
−0.998663 | + | 0.0516923i | \(0.983538\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 3.88393 | − | 4.17910i | 0.142680 | − | 0.153523i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.52119 | + | 5.18069i | −0.0558070 | + | 0.190061i | −0.982679 | − | 0.185317i | \(-0.940669\pi\) |
0.926872 | + | 0.375378i | \(0.122487\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 15.1544 | − | 23.5807i | 0.555215 | − | 0.863931i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −18.0996 | + | 24.2682i | −0.662228 | + | 0.887927i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −0.247049 | + | 0.158769i | −0.00902698 | + | 0.00580129i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.94020 | + | 13.4944i | 0.0707988 | + | 0.492416i | 0.994111 | + | 0.108366i | \(0.0345619\pi\) |
−0.923312 | + | 0.384050i | \(0.874529\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −11.9723 | + | 17.2762i | −0.436295 | + | 0.629580i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.742604 | − | 5.16492i | −0.0270261 | − | 0.187971i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −25.7166 | + | 11.7444i | −0.934685 | + | 0.426857i | −0.823739 | − | 0.566970i | \(-0.808116\pi\) |
−0.110947 | + | 0.993826i | \(0.535388\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −21.1160 | + | 5.40959i | −0.766464 | + | 0.196356i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −23.0095 | − | 3.30826i | −0.834093 | − | 0.119924i | −0.287980 | − | 0.957636i | \(-0.592984\pi\) |
−0.546113 | + | 0.837712i | \(0.683893\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.73703 | + | 25.9916i | −0.135290 | + | 0.940959i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 14.3681 | + | 14.3170i | 0.519480 | + | 0.517632i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 1.54513 | 0.0557915 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 27.0155 | + | 12.3376i | 0.974203 | + | 0.444904i | 0.837936 | − | 0.545769i | \(-0.183762\pi\) |
0.136267 | + | 0.990672i | \(0.456490\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.79791 | − | 26.7293i | 0.172792 | − | 0.962632i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −20.4015 | + | 31.7453i | −0.733791 | + | 1.14180i | 0.250988 | + | 0.967990i | \(0.419244\pi\) |
−0.984779 | + | 0.173811i | \(0.944392\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 31.0955i | 1.11698i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 8.39630 | + | 20.2195i | 0.301216 | + | 0.725371i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 7.57162 | − | 4.86598i | 0.271281 | − | 0.174342i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 27.8031 | − | 12.6973i | 0.994874 | − | 0.454344i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 46.3309 | − | 8.48693i | 1.65573 | − | 0.303298i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 15.2834 | + | 17.6379i | 0.545487 | + | 0.629525i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 20.4159 | + | 2.93537i | 0.727750 | + | 0.104635i | 0.496224 | − | 0.868194i | \(-0.334719\pi\) |
0.231525 | + | 0.972829i | \(0.425628\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 6.24065 | − | 34.7668i | 0.222173 | − | 1.23773i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −2.32017 | − | 3.61025i | −0.0824956 | − | 0.128366i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.08546 | + | 1.19960i | −0.145079 | + | 0.0425990i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.474009 | + | 13.6119i | −0.0168114 | + | 0.482765i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 4.80838 | + | 4.16648i | 0.170321 | + | 0.147584i | 0.735851 | − | 0.677144i | \(-0.236783\pi\) |
−0.565529 | + | 0.824728i | \(0.691328\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10.2169 | − | 2.99995i | 0.361448 | − | 0.106131i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −3.41366 | − | 15.5588i | −0.120616 | − | 0.549744i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −10.4210 | −0.367750 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −33.6140 | −1.18474 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −10.4147 | + | 20.8523i | −0.366615 | + | 0.734036i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 35.2824 | − | 10.3599i | 1.24046 | − | 0.364233i | 0.405275 | − | 0.914195i | \(-0.367176\pi\) |
0.835190 | + | 0.549962i | \(0.185358\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −23.6978 | − | 20.5343i | −0.832142 | − | 0.721055i | 0.130612 | − | 0.991434i | \(-0.458306\pi\) |
−0.962754 | + | 0.270378i | \(0.912851\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 55.9913 | + | 1.94979i | 1.96370 | + | 0.0683821i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −56.2536 | + | 16.5176i | −1.97048 | + | 0.578585i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −12.5170 | − | 19.4769i | −0.437915 | − | 0.681409i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −2.14672 | + | 1.17717i | −0.0750124 | + | 0.0411336i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 38.5856 | + | 5.54777i | 1.34665 | + | 0.193618i | 0.777637 | − | 0.628713i | \(-0.216418\pi\) |
0.569008 | + | 0.822332i | \(0.307327\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.3803 | − | 23.5201i | −0.710412 | − | 0.819860i | 0.279707 | − | 0.960085i | \(-0.409763\pi\) |
−0.990120 | + | 0.140226i | \(0.955217\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −15.7583 | + | 6.54375i | −0.548633 | + | 0.227824i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −23.5792 | + | 10.7682i | −0.819928 | + | 0.374449i | −0.780796 | − | 0.624785i | \(-0.785186\pi\) |
−0.0391316 | + | 0.999234i | \(0.512459\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 42.3710 | − | 27.2302i | 1.47161 | − | 0.945744i | 0.473726 | − | 0.880672i | \(-0.342909\pi\) |
0.997881 | − | 0.0650718i | \(-0.0207276\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 28.5732 | − | 11.8653i | 0.991195 | − | 0.411601i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | − | 9.06848i | − | 0.314204i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.78760 | − | 2.78157i | 0.0618626 | − | 0.0962601i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −29.8333 | − | 12.2640i | −1.03119 | − | 0.423907i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −5.17316 | − | 2.36250i | −0.178597 | − | 0.0815626i | 0.324110 | − | 0.946019i | \(-0.394935\pi\) |
−0.502707 | + | 0.864457i | \(0.667663\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −53.1696 | −1.83343 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −39.3307 | + | 4.26393i | −1.35462 | + | 0.146858i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 5.74443 | − | 39.9534i | 0.197614 | − | 1.37444i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.7214 | + | 1.68528i | 0.402751 | + | 0.0579068i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −1.75424 | − | 6.84758i | −0.0602054 | − | 0.235008i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −44.3167 | + | 20.2388i | −1.51916 | + | 0.693776i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.34641 | − | 37.1851i | −0.183058 | − | 1.27319i | −0.849481 | − | 0.527620i | \(-0.823085\pi\) |
0.666423 | − | 0.745574i | \(-0.267825\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 4.65045 | + | 63.4332i | 0.159042 | + | 2.16937i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −1.31686 | − | 9.15896i | −0.0449831 | − | 0.312864i | −0.999873 | − | 0.0159057i | \(-0.994937\pi\) |
0.954890 | − | 0.296958i | \(-0.0959722\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11.3383 | + | 7.28670i | −0.386858 | + | 0.248619i | −0.719585 | − | 0.694405i | \(-0.755668\pi\) |
0.332726 | + | 0.943023i | \(0.392031\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.74151 | + | 0.958515i | −0.127510 | + | 0.0326661i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −18.7742 | + | 29.2133i | −0.639082 | + | 0.994431i | 0.359049 | + | 0.933319i | \(0.383101\pi\) |
−0.998131 | + | 0.0611122i | \(0.980535\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −8.39164 | + | 28.5793i | −0.285324 | + | 0.971726i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −15.7740 | − | 14.6599i | −0.535713 | − | 0.497876i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 3.15482 | + | 2.73367i | 0.107020 | + | 0.0927333i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.79025 | + | 2.89865i | 0.0945440 | + | 0.0982170i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −31.6622 | + | 23.7902i | −1.07160 | + | 0.805175i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −0.0480524 | + | 0.00690890i | −0.00162447 | + | 0.000233563i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −15.7737 | − | 4.63157i | −0.532639 | − | 0.156397i | 0.00434291 | − | 0.999991i | \(-0.498618\pi\) |
−0.536982 | + | 0.843594i | \(0.680436\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 1.87852 | + | 17.3275i | 0.0633607 | + | 0.584442i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 47.5745 | + | 21.7265i | 1.60282 | + | 0.731986i | 0.997929 | − | 0.0643192i | \(-0.0204876\pi\) |
0.604896 | + | 0.796305i | \(0.293215\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 3.53273 | + | 5.49704i | 0.118886 | + | 0.184990i | 0.895596 | − | 0.444868i | \(-0.146749\pi\) |
−0.776710 | + | 0.629858i | \(0.783113\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −11.7265 | + | 12.6177i | −0.394183 | + | 0.424140i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −3.77935 | − | 12.8713i | −0.126898 | − | 0.432176i | 0.871395 | − | 0.490583i | \(-0.163216\pi\) |
−0.998293 | + | 0.0584071i | \(0.981398\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 22.1557 | − | 3.18551i | 0.743079 | − | 0.106839i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.0630744 | − | 17.6995i | −0.00211307 | − | 0.592956i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 30.3725 | + | 13.8707i | 1.01638 | + | 0.464164i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.32077 | − | 9.18614i | 0.0441484 | − | 0.307059i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2.78420 | − | 4.68301i | −0.0929617 | − | 0.156361i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 47.3377 | + | 30.4221i | 1.57880 | + | 1.01463i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.31180i | 0.176962i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 2.46564 | + | 9.62448i | 0.0820513 | + | 0.320283i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 19.4494 | + | 22.4459i | 0.646521 | + | 0.746125i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 12.5379 | + | 8.05759i | 0.416313 | + | 0.267548i | 0.731985 | − | 0.681320i | \(-0.238594\pi\) |
−0.315673 | + | 0.948868i | \(0.602230\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −7.35167 | + | 34.0874i | −0.243839 | + | 1.13061i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 5.82720 | − | 19.8456i | 0.193064 | − | 0.657515i | −0.804881 | − | 0.593436i | \(-0.797771\pi\) |
0.997945 | − | 0.0640789i | \(-0.0204109\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −10.7296 | − | 16.6956i | −0.355099 | − | 0.552545i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 21.2099 | − | 42.4664i | 0.701177 | − | 1.40390i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −10.5264 | − | 3.09084i | −0.347613 | − | 0.102068i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.75998 | + | 1.52503i | −0.0580563 | + | 0.0503060i | −0.683406 | − | 0.730039i | \(-0.739502\pi\) |
0.625349 | + | 0.780345i | \(0.284956\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −11.8385 | − | 19.9124i | −0.390093 | − | 0.656134i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 5.00276 | + | 5.77350i | 0.164668 | + | 0.190037i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −32.0824 | + | 20.6181i | −1.05486 | + | 0.677920i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −2.97694 | − | 40.6062i | −0.0977757 | − | 1.33368i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −11.6187 | + | 13.4087i | −0.381197 | + | 0.439925i | −0.913630 | − | 0.406548i | \(-0.866733\pi\) |
0.532433 | + | 0.846472i | \(0.321278\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 18.6218 | − | 21.4907i | 0.610305 | − | 0.704329i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 25.9879 | − | 37.5009i | 0.850804 | − | 1.22772i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −12.0951 | + | 5.52363i | −0.395551 | + | 0.180642i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 10.8302i | 0.353808i | 0.984228 | + | 0.176904i | \(0.0566082\pi\) | ||||
−0.984228 | + | 0.176904i | \(0.943392\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 10.1231 | + | 12.5391i | 0.330354 | + | 0.409197i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −21.5369 | − | 47.1593i | −0.702083 | − | 1.53735i | −0.837427 | − | 0.546549i | \(-0.815941\pi\) |
0.135344 | − | 0.990799i | \(-0.456786\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.42144 | − | 8.24666i | −0.0788529 | − | 0.268548i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 6.67931 | − | 26.4642i | 0.217278 | − | 0.860882i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −19.8133 | − | 17.1683i | −0.643845 | − | 0.557895i | 0.270556 | − | 0.962704i | \(-0.412793\pi\) |
−0.914401 | + | 0.404809i | \(0.867338\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.733805 | − | 2.49911i | −0.0238203 | − | 0.0811245i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 49.7374 | + | 16.5050i | 1.61285 | + | 0.535211i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 39.9486 | − | 34.6157i | 1.29406 | − | 1.12131i | 0.308641 | − | 0.951179i | \(-0.400126\pi\) |
0.985421 | − | 0.170132i | \(-0.0544195\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.566203 | − | 3.93803i | 0.0183219 | − | 0.127432i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −5.45527 | + | 30.3915i | −0.176344 | + | 0.982417i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −5.61076 | + | 19.1085i | −0.181181 | + | 0.617045i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −3.12995 | − | 6.85364i | −0.100966 | − | 0.221085i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.496841 | − | 0.186321i | 0.0160105 | − | 0.00600412i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −10.0692 | − | 2.95659i | −0.324140 | − | 0.0951761i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −21.5661 | −0.693519 | −0.346760 | − | 0.937954i | \(-0.612718\pi\) | ||||
−0.346760 | + | 0.937954i | \(0.612718\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.67351 | + | 24.6605i | 0.0858854 | + | 0.792210i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 5.62422 | − | 4.87341i | 0.180490 | − | 0.156395i | −0.559930 | − | 0.828540i | \(-0.689172\pi\) |
0.740420 | + | 0.672145i | \(0.234627\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.66165 | + | 8.01789i | −0.117387 | + | 0.257042i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −2.67892 | − | 3.31828i | −0.0857940 | − | 0.106270i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 33.2762 | − | 51.7787i | 1.06460 | − | 1.65655i | 0.385095 | − | 0.922877i | \(-0.374169\pi\) |
0.679504 | − | 0.733672i | \(-0.262195\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 10.3358 | + | 1.48606i | 0.330333 | + | 0.0474947i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 16.5019 | − | 44.4851i | 0.526864 | − | 1.42030i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −16.6720 | + | 36.5065i | −0.531754 | + | 1.16438i | 0.433041 | + | 0.901374i | \(0.357440\pi\) |
−0.964795 | + | 0.263004i | \(0.915287\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −25.3010 | − | 55.4015i | −0.806157 | − | 1.76524i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −10.4957 | − | 9.75442i | −0.334083 | − | 0.310487i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −21.2133 | + | 6.22879i | −0.674544 | + | 0.198064i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 29.9842 | − | 4.31108i | 0.952481 | − | 0.136946i | 0.351481 | − | 0.936195i | \(-0.385678\pi\) |
0.601000 | + | 0.799249i | \(0.294769\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −40.6232 | − | 13.4805i | −1.28914 | − | 0.427791i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −31.4769 | + | 68.9249i | −0.997886 | + | 2.18506i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 31.4100 | + | 20.1860i | 0.994764 | + | 0.639296i | 0.933407 | − | 0.358820i | \(-0.116821\pi\) |
0.0613569 | + | 0.998116i | \(0.480457\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −7.12793 | − | 38.9120i | −0.225518 | − | 1.23112i |
(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 | 804.2.s.b.5.18 | yes | 200 | |
3.2 | odd | 2 | inner | 804.2.s.b.5.13 | ✓ | 200 | |
67.27 | odd | 22 | inner | 804.2.s.b.161.13 | yes | 200 | |
201.161 | even | 22 | inner | 804.2.s.b.161.18 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.s.b.5.13 | ✓ | 200 | 3.2 | odd | 2 | inner | |
804.2.s.b.5.18 | yes | 200 | 1.1 | even | 1 | trivial | |
804.2.s.b.161.13 | yes | 200 | 67.27 | odd | 22 | inner | |
804.2.s.b.161.18 | yes | 200 | 201.161 | even | 22 | inner |