Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,3,Mod(149,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.149");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.k (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(12.2616118962\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 18) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 299.4 | ||
Root | \(0.258819 - 0.965926i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 450.299 |
Dual form | 450.3.k.a.149.4 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 1.22474i | 0.353553 | − | 0.612372i | ||||
\(3\) | 1.73205 | − | 2.44949i | 0.577350 | − | 0.816497i | ||||
\(4\) | −1.00000 | − | 1.73205i | −0.250000 | − | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.77526 | − | 3.85337i | −0.295876 | − | 0.642229i | ||||
\(7\) | −7.22999 | − | 4.17423i | −1.03286 | − | 0.596319i | −0.115054 | − | 0.993359i | \(-0.536704\pi\) |
−0.917801 | + | 0.397040i | \(0.870037\pi\) | |||||||
\(8\) | −2.82843 | −0.353553 | ||||||||
\(9\) | −3.00000 | − | 8.48528i | −0.333333 | − | 0.942809i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.825765 | + | 0.476756i | 0.0750696 | + | 0.0433414i | 0.537065 | − | 0.843541i | \(-0.319533\pi\) |
−0.461995 | + | 0.886882i | \(0.652866\pi\) | |||||||
\(12\) | −5.97469 | − | 0.550510i | −0.497891 | − | 0.0458759i | ||||
\(13\) | −8.39780 | + | 4.84847i | −0.645984 | + | 0.372959i | −0.786916 | − | 0.617060i | \(-0.788324\pi\) |
0.140932 | + | 0.990019i | \(0.454990\pi\) | |||||||
\(14\) | −10.2247 | + | 5.90326i | −0.730339 | + | 0.421661i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.00000 | + | 3.46410i | −0.125000 | + | 0.216506i | ||||
\(17\) | −18.8776 | −1.11045 | −0.555223 | − | 0.831701i | \(-0.687367\pi\) | ||||
−0.555223 | + | 0.831701i | \(0.687367\pi\) | |||||||
\(18\) | −12.5136 | − | 2.32577i | −0.695201 | − | 0.129209i | ||||
\(19\) | 24.6969 | 1.29984 | 0.649919 | − | 0.760003i | \(-0.274803\pi\) | ||||
0.649919 | + | 0.760003i | \(0.274803\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −22.7474 | + | 10.4798i | −1.08321 | + | 0.499038i | ||||
\(22\) | 1.16781 | − | 0.674235i | 0.0530822 | − | 0.0306470i | ||||
\(23\) | 0.476756 | + | 0.825765i | 0.0207285 | + | 0.0359028i | 0.876204 | − | 0.481941i | \(-0.160068\pi\) |
−0.855475 | + | 0.517844i | \(0.826735\pi\) | |||||||
\(24\) | −4.89898 | + | 6.92820i | −0.204124 | + | 0.288675i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 13.7135i | 0.527444i | ||||||||
\(27\) | −25.9808 | − | 7.34847i | −0.962250 | − | 0.272166i | ||||
\(28\) | 16.6969i | 0.596319i | ||||||||
\(29\) | −11.8485 | − | 6.84072i | −0.408568 | − | 0.235887i | 0.281606 | − | 0.959530i | \(-0.409133\pi\) |
−0.690174 | + | 0.723643i | \(0.742466\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.52270 | − | 2.63740i | −0.0491195 | − | 0.0850774i | 0.840420 | − | 0.541935i | \(-0.182308\pi\) |
−0.889540 | + | 0.456858i | \(0.848975\pi\) | |||||||
\(32\) | 2.82843 | + | 4.89898i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 2.59808 | − | 1.19694i | 0.0787296 | − | 0.0362709i | ||||
\(34\) | −13.3485 | + | 23.1202i | −0.392602 | + | 0.680007i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −11.6969 | + | 13.6814i | −0.324915 | + | 0.380040i | ||||
\(37\) | − | 46.6969i | − | 1.26208i | −0.775751 | − | 0.631040i | \(-0.782628\pi\) | ||
0.775751 | − | 0.631040i | \(-0.217372\pi\) | |||||||
\(38\) | 17.4634 | − | 30.2474i | 0.459562 | − | 0.795985i | ||||
\(39\) | −2.66913 | + | 28.9681i | −0.0684393 | + | 0.742772i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −9.45459 | + | 5.45861i | −0.230600 | + | 0.133137i | −0.610849 | − | 0.791747i | \(-0.709172\pi\) |
0.380249 | + | 0.924884i | \(0.375838\pi\) | |||||||
\(42\) | −3.24980 | + | 35.2702i | −0.0773763 | + | 0.839766i | ||||
\(43\) | −39.0105 | − | 22.5227i | −0.907220 | − | 0.523784i | −0.0276845 | − | 0.999617i | \(-0.508813\pi\) |
−0.879536 | + | 0.475833i | \(0.842147\pi\) | |||||||
\(44\) | − | 1.90702i | − | 0.0433414i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.34847 | 0.0293145 | ||||||||
\(47\) | 22.6435 | − | 39.2196i | 0.481776 | − | 0.834460i | −0.518005 | − | 0.855377i | \(-0.673325\pi\) |
0.999781 | + | 0.0209170i | \(0.00665856\pi\) | |||||||
\(48\) | 5.02118 | + | 10.8990i | 0.104608 | + | 0.227062i | ||||
\(49\) | 10.3485 | + | 17.9241i | 0.211193 | + | 0.365797i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −32.6969 | + | 46.2405i | −0.641116 | + | 0.906676i | ||||
\(52\) | 16.7956 | + | 9.69694i | 0.322992 | + | 0.186480i | ||||
\(53\) | 94.3879 | 1.78090 | 0.890452 | − | 0.455077i | \(-0.150388\pi\) | ||||
0.890452 | + | 0.455077i | \(0.150388\pi\) | |||||||
\(54\) | −27.3712 | + | 26.6237i | −0.506874 | + | 0.493031i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 20.4495 | + | 11.8065i | 0.365169 | + | 0.210831i | ||||
\(57\) | 42.7764 | − | 60.4949i | 0.750462 | − | 1.06131i | ||||
\(58\) | −16.7563 | + | 9.67423i | −0.288901 | + | 0.166797i | ||||
\(59\) | 16.2650 | − | 9.39063i | 0.275679 | − | 0.159163i | −0.355787 | − | 0.934567i | \(-0.615787\pi\) |
0.631466 | + | 0.775404i | \(0.282454\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.54541 | + | 11.3370i | −0.107302 | + | 0.185852i | −0.914676 | − | 0.404187i | \(-0.867554\pi\) |
0.807375 | + | 0.590039i | \(0.200888\pi\) | |||||||
\(62\) | −4.30686 | −0.0694654 | ||||||||
\(63\) | −13.7296 | + | 73.8712i | −0.217930 | + | 1.17256i | ||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.371173 | − | 4.02834i | 0.00562383 | − | 0.0610355i | ||||
\(67\) | −64.9912 | + | 37.5227i | −0.970018 | + | 0.560040i | −0.899242 | − | 0.437452i | \(-0.855881\pi\) |
−0.0707765 | + | 0.997492i | \(0.522548\pi\) | |||||||
\(68\) | 18.8776 | + | 32.6969i | 0.277612 | + | 0.480837i | ||||
\(69\) | 2.84847 | + | 0.262459i | 0.0412822 | + | 0.00380375i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 18.0204i | 0.253808i | 0.991915 | + | 0.126904i | \(0.0405041\pi\) | ||||
−0.991915 | + | 0.126904i | \(0.959496\pi\) | |||||||
\(72\) | 8.48528 | + | 24.0000i | 0.117851 | + | 0.333333i | ||||
\(73\) | − | 7.90918i | − | 0.108345i | −0.998532 | − | 0.0541725i | \(-0.982748\pi\) | ||
0.998532 | − | 0.0541725i | \(-0.0172521\pi\) | |||||||
\(74\) | −57.1918 | − | 33.0197i | −0.772863 | − | 0.446212i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −24.6969 | − | 42.7764i | −0.324960 | − | 0.562847i | ||||
\(77\) | −3.98018 | − | 6.89388i | −0.0516907 | − | 0.0895309i | ||||
\(78\) | 33.5912 | + | 23.7526i | 0.430656 | + | 0.304520i | ||||
\(79\) | −21.8712 | + | 37.8820i | −0.276850 | + | 0.479519i | −0.970600 | − | 0.240697i | \(-0.922624\pi\) |
0.693750 | + | 0.720216i | \(0.255957\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −63.0000 | + | 50.9117i | −0.777778 | + | 0.628539i | ||||
\(82\) | 15.4393i | 0.188284i | ||||||||
\(83\) | 65.1662 | − | 112.871i | 0.785135 | − | 1.35989i | −0.143783 | − | 0.989609i | \(-0.545927\pi\) |
0.928918 | − | 0.370284i | \(-0.120740\pi\) | |||||||
\(84\) | 40.8990 | + | 28.9199i | 0.486893 | + | 0.344285i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −55.1691 | + | 31.8519i | −0.641502 | + | 0.370371i | ||||
\(87\) | −37.2784 | + | 17.1742i | −0.428488 | + | 0.197405i | ||||
\(88\) | −2.33562 | − | 1.34847i | −0.0265411 | − | 0.0153235i | ||||
\(89\) | − | 145.300i | − | 1.63258i | −0.577642 | − | 0.816290i | \(-0.696027\pi\) | ||
0.577642 | − | 0.816290i | \(-0.303973\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 80.9546 | 0.889611 | ||||||||
\(92\) | 0.953512 | − | 1.65153i | 0.0103643 | − | 0.0179514i | ||||
\(93\) | −9.09769 | − | 0.838264i | −0.0978246 | − | 0.00901359i | ||||
\(94\) | −32.0227 | − | 55.4650i | −0.340667 | − | 0.590053i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 16.8990 | + | 1.55708i | 0.176031 | + | 0.0162196i | ||||
\(97\) | −95.1576 | − | 54.9393i | −0.981007 | − | 0.566384i | −0.0784327 | − | 0.996919i | \(-0.524992\pi\) |
−0.902574 | + | 0.430535i | \(0.858325\pi\) | |||||||
\(98\) | 29.2699 | 0.298672 | ||||||||
\(99\) | 1.56811 | − | 8.43712i | 0.0158395 | − | 0.0852234i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 127.772 | + | 73.7695i | 1.26507 | + | 0.730391i | 0.974052 | − | 0.226326i | \(-0.0726714\pi\) |
0.291022 | + | 0.956716i | \(0.406005\pi\) | |||||||
\(102\) | 33.5125 | + | 72.7423i | 0.328554 | + | 0.713160i | ||||
\(103\) | −89.3186 | + | 51.5681i | −0.867171 | + | 0.500661i | −0.866407 | − | 0.499338i | \(-0.833576\pi\) |
−0.000763745 | 1.00000i | \(0.500243\pi\) | ||||||||
\(104\) | 23.7526 | − | 13.7135i | 0.228390 | − | 0.131861i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 66.7423 | − | 115.601i | 0.629645 | − | 1.09058i | ||||
\(107\) | 36.0408 | 0.336830 | 0.168415 | − | 0.985716i | \(-0.446135\pi\) | ||||
0.168415 | + | 0.985716i | \(0.446135\pi\) | |||||||
\(108\) | 13.2528 | + | 52.3485i | 0.122711 | + | 0.484708i | ||||
\(109\) | 148.272 | 1.36030 | 0.680149 | − | 0.733074i | \(-0.261915\pi\) | ||||
0.680149 | + | 0.733074i | \(0.261915\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −114.384 | − | 80.8815i | −1.03048 | − | 0.728662i | ||||
\(112\) | 28.9199 | − | 16.6969i | 0.258214 | − | 0.149080i | ||||
\(113\) | −85.5439 | − | 148.166i | −0.757025 | − | 1.31121i | −0.944361 | − | 0.328910i | \(-0.893319\pi\) |
0.187336 | − | 0.982296i | \(-0.440015\pi\) | |||||||
\(114\) | −43.8434 | − | 95.1665i | −0.384591 | − | 0.834794i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 27.3629i | 0.235887i | ||||||||
\(117\) | 66.3340 | + | 56.7122i | 0.566957 | + | 0.484720i | ||||
\(118\) | − | 26.5607i | − | 0.225091i | ||||||
\(119\) | 136.485 | + | 78.7995i | 1.14693 | + | 0.662180i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −60.0454 | − | 104.002i | −0.496243 | − | 0.859518i | ||||
\(122\) | 9.25660 | + | 16.0329i | 0.0758738 | + | 0.131417i | ||||
\(123\) | −3.00502 | + | 32.6135i | −0.0244311 | + | 0.265151i | ||||
\(124\) | −3.04541 | + | 5.27480i | −0.0245597 | + | 0.0425387i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 80.7650 | + | 69.0501i | 0.640992 | + | 0.548016i | ||||
\(127\) | 78.0908i | 0.614888i | 0.951566 | + | 0.307444i | \(0.0994737\pi\) | ||||
−0.951566 | + | 0.307444i | \(0.900526\pi\) | |||||||
\(128\) | 5.65685 | − | 9.79796i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | −122.737 | + | 56.5453i | −0.951452 | + | 0.438335i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 202.704 | − | 117.031i | 1.54736 | − | 0.893369i | 0.549019 | − | 0.835810i | \(-0.315001\pi\) |
0.998342 | − | 0.0575598i | \(-0.0183320\pi\) | |||||||
\(132\) | −4.67123 | − | 3.30306i | −0.0353881 | − | 0.0250232i | ||||
\(133\) | −178.559 | − | 103.091i | −1.34255 | − | 0.775119i | ||||
\(134\) | 106.130i | 0.792017i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 53.3939 | 0.392602 | ||||||||
\(137\) | 74.9156 | − | 129.758i | 0.546829 | − | 0.947136i | −0.451660 | − | 0.892190i | \(-0.649168\pi\) |
0.998489 | − | 0.0549460i | \(-0.0174987\pi\) | |||||||
\(138\) | 2.33562 | − | 3.30306i | 0.0169248 | − | 0.0239352i | ||||
\(139\) | −42.2650 | − | 73.2052i | −0.304065 | − | 0.526656i | 0.672988 | − | 0.739654i | \(-0.265011\pi\) |
−0.977053 | + | 0.212998i | \(0.931677\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −56.8485 | − | 123.395i | −0.403181 | − | 0.875144i | ||||
\(142\) | 22.0704 | + | 12.7423i | 0.155425 | + | 0.0897348i | ||||
\(143\) | −9.24614 | −0.0646584 | ||||||||
\(144\) | 35.3939 | + | 6.57826i | 0.245791 | + | 0.0456823i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −9.68673 | − | 5.59264i | −0.0663475 | − | 0.0383057i | ||||
\(147\) | 61.8289 | + | 5.69694i | 0.420605 | + | 0.0387547i | ||||
\(148\) | −80.8815 | + | 46.6969i | −0.546496 | + | 0.315520i | ||||
\(149\) | −100.030 | + | 57.7524i | −0.671343 | + | 0.387600i | −0.796585 | − | 0.604526i | \(-0.793362\pi\) |
0.125242 | + | 0.992126i | \(0.460029\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 32.3865 | − | 56.0950i | 0.214480 | − | 0.371490i | −0.738632 | − | 0.674109i | \(-0.764528\pi\) |
0.953112 | + | 0.302619i | \(0.0978610\pi\) | |||||||
\(152\) | −69.8535 | −0.459562 | ||||||||
\(153\) | 56.6328 | + | 160.182i | 0.370149 | + | 1.04694i | ||||
\(154\) | −11.2577 | −0.0731016 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 52.8434 | − | 24.3450i | 0.338740 | − | 0.156058i | ||||
\(157\) | 18.0292 | − | 10.4092i | 0.114836 | − | 0.0663005i | −0.441482 | − | 0.897270i | \(-0.645547\pi\) |
0.556318 | + | 0.830970i | \(0.312214\pi\) | |||||||
\(158\) | 30.9305 | + | 53.5732i | 0.195763 | + | 0.339071i | ||||
\(159\) | 163.485 | − | 231.202i | 1.02821 | − | 1.45410i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 7.96036i | − | 0.0494433i | ||||||
\(162\) | 17.8061 | + | 113.159i | 0.109914 | + | 0.698512i | ||||
\(163\) | 133.060i | 0.816320i | 0.912910 | + | 0.408160i | \(0.133829\pi\) | ||||
−0.912910 | + | 0.408160i | \(0.866171\pi\) | |||||||
\(164\) | 18.9092 | + | 10.9172i | 0.115300 | + | 0.0665684i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −92.1589 | − | 159.624i | −0.555174 | − | 0.961590i | ||||
\(167\) | 147.255 | + | 255.053i | 0.881765 | + | 1.52726i | 0.849377 | + | 0.527787i | \(0.176978\pi\) |
0.0323885 | + | 0.999475i | \(0.489689\pi\) | |||||||
\(168\) | 64.3395 | − | 29.6413i | 0.382973 | − | 0.176436i | ||||
\(169\) | −37.4847 | + | 64.9254i | −0.221803 | + | 0.384174i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −74.0908 | − | 209.560i | −0.433280 | − | 1.22550i | ||||
\(172\) | 90.0908i | 0.523784i | ||||||||
\(173\) | 34.6322 | − | 59.9847i | 0.200186 | − | 0.346732i | −0.748402 | − | 0.663245i | \(-0.769179\pi\) |
0.948588 | + | 0.316513i | \(0.102512\pi\) | |||||||
\(174\) | −5.32577 | + | 57.8006i | −0.0306078 | + | 0.332187i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −3.30306 | + | 1.90702i | −0.0187674 | + | 0.0108354i | ||||
\(177\) | 5.16964 | − | 56.1061i | 0.0292070 | − | 0.316984i | ||||
\(178\) | −177.955 | − | 102.742i | −0.999747 | − | 0.577204i | ||||
\(179\) | − | 47.4829i | − | 0.265268i | −0.991165 | − | 0.132634i | \(-0.957657\pi\) | ||
0.991165 | − | 0.132634i | \(-0.0423435\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 242.879 | 1.34187 | 0.670935 | − | 0.741516i | \(-0.265893\pi\) | ||||
0.670935 | + | 0.741516i | \(0.265893\pi\) | |||||||
\(182\) | 57.2435 | − | 99.1487i | 0.314525 | − | 0.544773i | ||||
\(183\) | 16.4328 | + | 35.6691i | 0.0897969 | + | 0.194913i | ||||
\(184\) | −1.34847 | − | 2.33562i | −0.00732864 | − | 0.0126936i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −7.45969 | + | 10.5496i | −0.0401059 | + | 0.0567183i | ||||
\(187\) | −15.5885 | − | 9.00000i | −0.0833607 | − | 0.0481283i | ||||
\(188\) | −90.5739 | −0.481776 | ||||||||
\(189\) | 157.166 | + | 161.579i | 0.831568 | + | 0.854916i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.52270 | + | 3.76588i | 0.0341503 | + | 0.0197167i | 0.516978 | − | 0.855999i | \(-0.327057\pi\) |
−0.482828 | + | 0.875715i | \(0.660390\pi\) | |||||||
\(192\) | 13.8564 | − | 19.5959i | 0.0721688 | − | 0.102062i | ||||
\(193\) | 299.172 | − | 172.727i | 1.55011 | − | 0.894959i | 0.551983 | − | 0.833856i | \(-0.313871\pi\) |
0.998131 | − | 0.0611031i | \(-0.0194618\pi\) | |||||||
\(194\) | −134.573 | + | 77.6959i | −0.693676 | + | 0.400494i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 20.6969 | − | 35.8481i | 0.105597 | − | 0.182899i | ||||
\(197\) | 77.2247 | 0.392004 | 0.196002 | − | 0.980604i | \(-0.437204\pi\) | ||||
0.196002 | + | 0.980604i | \(0.437204\pi\) | |||||||
\(198\) | −9.22450 | − | 7.88648i | −0.0465884 | − | 0.0398307i | ||||
\(199\) | −153.485 | −0.771280 | −0.385640 | − | 0.922649i | \(-0.626019\pi\) | ||||
−0.385640 | + | 0.922649i | \(0.626019\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −20.6566 | + | 224.187i | −0.102769 | + | 1.11536i | ||||
\(202\) | 180.698 | − | 104.326i | 0.894542 | − | 0.516464i | ||||
\(203\) | 57.1095 | + | 98.9166i | 0.281328 | + | 0.487274i | ||||
\(204\) | 112.788 | + | 10.3923i | 0.552881 | + | 0.0509427i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 145.857i | 0.708042i | ||||||||
\(207\) | 5.57658 | − | 6.52270i | 0.0269400 | − | 0.0315106i | ||||
\(208\) | − | 38.7878i | − | 0.186480i | ||||||
\(209\) | 20.3939 | + | 11.7744i | 0.0975784 | + | 0.0563369i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 25.7804 | + | 44.6529i | 0.122182 | + | 0.211625i | 0.920628 | − | 0.390441i | \(-0.127678\pi\) |
−0.798446 | + | 0.602066i | \(0.794344\pi\) | |||||||
\(212\) | −94.3879 | − | 163.485i | −0.445226 | − | 0.771154i | ||||
\(213\) | 44.1408 | + | 31.2122i | 0.207234 | + | 0.146536i | ||||
\(214\) | 25.4847 | − | 44.1408i | 0.119087 | − | 0.206265i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 73.4847 | + | 20.7846i | 0.340207 | + | 0.0962250i | ||||
\(217\) | 25.4245i | 0.117164i | ||||||||
\(218\) | 104.844 | − | 181.596i | 0.480938 | − | 0.833009i | ||||
\(219\) | −19.3735 | − | 13.6991i | −0.0884633 | − | 0.0625530i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 158.530 | − | 91.5274i | 0.717331 | − | 0.414151i | ||||
\(222\) | −179.941 | + | 82.8990i | −0.810543 | + | 0.373419i | ||||
\(223\) | −271.263 | − | 156.614i | −1.21642 | − | 0.702303i | −0.252273 | − | 0.967656i | \(-0.581178\pi\) |
−0.964151 | + | 0.265353i | \(0.914511\pi\) | |||||||
\(224\) | − | 47.2261i | − | 0.210831i | ||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −241.955 | −1.07060 | ||||||||
\(227\) | −38.1356 | + | 66.0528i | −0.167998 | + | 0.290982i | −0.937716 | − | 0.347403i | \(-0.887064\pi\) |
0.769718 | + | 0.638384i | \(0.220397\pi\) | |||||||
\(228\) | −147.557 | − | 13.5959i | −0.647178 | − | 0.0596312i | ||||
\(229\) | −60.7724 | − | 105.261i | −0.265382 | − | 0.459655i | 0.702282 | − | 0.711899i | \(-0.252165\pi\) |
−0.967664 | + | 0.252244i | \(0.918831\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −23.7804 | − | 2.19113i | −0.102945 | − | 0.00948541i | ||||
\(232\) | 33.5125 | + | 19.3485i | 0.144451 | + | 0.0833986i | ||||
\(233\) | 151.021 | 0.648157 | 0.324079 | − | 0.946030i | \(-0.394946\pi\) | ||||
0.324079 | + | 0.946030i | \(0.394946\pi\) | |||||||
\(234\) | 116.363 | − | 41.1406i | 0.497279 | − | 0.175815i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −32.5301 | − | 18.7813i | −0.137839 | − | 0.0795816i | ||||
\(237\) | 54.9095 | + | 119.187i | 0.231686 | + | 0.502898i | ||||
\(238\) | 193.019 | − | 111.439i | 0.811002 | − | 0.468232i | ||||
\(239\) | 75.9620 | − | 43.8567i | 0.317833 | − | 0.183501i | −0.332593 | − | 0.943070i | \(-0.607924\pi\) |
0.650426 | + | 0.759570i | \(0.274590\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −100.894 | + | 174.753i | −0.418647 | + | 0.725118i | −0.995804 | − | 0.0915158i | \(-0.970829\pi\) |
0.577157 | + | 0.816633i | \(0.304162\pi\) | |||||||
\(242\) | −169.834 | −0.701794 | ||||||||
\(243\) | 15.5885 | + | 242.499i | 0.0641500 | + | 0.997940i | ||||
\(244\) | 26.1816 | 0.107302 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 37.8184 | + | 26.7416i | 0.153733 | + | 0.108706i | ||||
\(247\) | −207.400 | + | 119.742i | −0.839675 | + | 0.484787i | ||||
\(248\) | 4.30686 | + | 7.45969i | 0.0173664 | + | 0.0300794i | ||||
\(249\) | −163.606 | − | 355.123i | −0.657051 | − | 1.42619i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 52.6261i | 0.209666i | 0.994490 | + | 0.104833i | \(0.0334307\pi\) | ||||
−0.994490 | + | 0.104833i | \(0.966569\pi\) | |||||||
\(252\) | 141.678 | − | 50.0908i | 0.562215 | − | 0.198773i | ||||
\(253\) | 0.909185i | 0.00359362i | ||||||||
\(254\) | 95.6413 | + | 55.2185i | 0.376541 | + | 0.217396i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 40.3532 | + | 69.8939i | 0.157017 | + | 0.271961i | 0.933791 | − | 0.357818i | \(-0.116479\pi\) |
−0.776775 | + | 0.629778i | \(0.783146\pi\) | |||||||
\(258\) | −17.5348 | + | 190.305i | −0.0679644 | + | 0.737618i | ||||
\(259\) | −194.924 | + | 337.618i | −0.752602 | + | 1.30355i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −22.5000 | + | 121.060i | −0.0862069 | + | 0.463830i | ||||
\(262\) | − | 331.015i | − | 1.26342i | ||||||
\(263\) | −231.872 | + | 401.614i | −0.881641 | + | 1.52705i | −0.0321259 | + | 0.999484i | \(0.510228\pi\) |
−0.849515 | + | 0.527564i | \(0.823106\pi\) | |||||||
\(264\) | −7.34847 | + | 3.38545i | −0.0278351 | + | 0.0128237i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −252.520 | + | 145.792i | −0.949323 | + | 0.548092i | ||||
\(267\) | −355.910 | − | 251.666i | −1.33300 | − | 0.942570i | ||||
\(268\) | 129.982 | + | 75.0454i | 0.485009 | + | 0.280020i | ||||
\(269\) | 43.4762i | 0.161622i | 0.996729 | + | 0.0808109i | \(0.0257510\pi\) | ||||
−0.996729 | + | 0.0808109i | \(0.974249\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −342.636 | −1.26434 | −0.632169 | − | 0.774830i | \(-0.717835\pi\) | ||||
−0.632169 | + | 0.774830i | \(0.717835\pi\) | |||||||
\(272\) | 37.7552 | − | 65.3939i | 0.138806 | − | 0.240419i | ||||
\(273\) | 140.217 | − | 198.297i | 0.513617 | − | 0.726364i | ||||
\(274\) | −105.947 | − | 183.505i | −0.386667 | − | 0.669726i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −2.39388 | − | 5.19615i | −0.00867347 | − | 0.0188266i | ||||
\(277\) | −42.4352 | − | 24.5000i | −0.153196 | − | 0.0884477i | 0.421442 | − | 0.906855i | \(-0.361524\pi\) |
−0.574638 | + | 0.818407i | \(0.694857\pi\) | |||||||
\(278\) | −119.544 | −0.430013 | ||||||||
\(279\) | −17.8110 | + | 20.8328i | −0.0638386 | + | 0.0746694i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −17.8791 | − | 10.3225i | −0.0636266 | − | 0.0367349i | 0.467849 | − | 0.883808i | \(-0.345029\pi\) |
−0.531476 | + | 0.847073i | \(0.678362\pi\) | |||||||
\(282\) | −191.326 | − | 17.6288i | −0.678460 | − | 0.0625136i | ||||
\(283\) | 46.2533 | − | 26.7043i | 0.163439 | − | 0.0943616i | −0.416049 | − | 0.909342i | \(-0.636586\pi\) |
0.579489 | + | 0.814980i | \(0.303252\pi\) | |||||||
\(284\) | 31.2122 | − | 18.0204i | 0.109902 | − | 0.0634521i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.53801 | + | 11.3242i | −0.0228602 | + | 0.0395950i | ||||
\(287\) | 91.1421 | 0.317568 | ||||||||
\(288\) | 33.0839 | − | 38.6969i | 0.114875 | − | 0.134364i | ||||
\(289\) | 67.3633 | 0.233091 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −299.391 | + | 137.930i | −1.02884 | + | 0.473986i | ||||
\(292\) | −13.6991 | + | 7.90918i | −0.0469148 | + | 0.0270862i | ||||
\(293\) | −7.46196 | − | 12.9245i | −0.0254674 | − | 0.0441109i | 0.853011 | − | 0.521893i | \(-0.174774\pi\) |
−0.878478 | + | 0.477782i | \(0.841441\pi\) | |||||||
\(294\) | 50.6969 | − | 71.6963i | 0.172439 | − | 0.243865i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 132.079i | 0.446212i | ||||||||
\(297\) | −17.9506 | − | 18.4546i | −0.0604397 | − | 0.0621367i | ||||
\(298\) | 163.348i | 0.548149i | ||||||||
\(299\) | −8.00740 | − | 4.62307i | −0.0267806 | − | 0.0154618i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 188.030 | + | 325.678i | 0.624685 | + | 1.08199i | ||||
\(302\) | −45.8014 | − | 79.3304i | −0.151660 | − | 0.262683i | ||||
\(303\) | 402.006 | − | 185.205i | 1.32675 | − | 0.611237i | ||||
\(304\) | −49.3939 | + | 85.5527i | −0.162480 | + | 0.281423i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 236.227 | + | 43.9048i | 0.771984 | + | 0.143480i | ||||
\(307\) | − | 65.9092i | − | 0.214688i | −0.994222 | − | 0.107344i | \(-0.965765\pi\) | ||
0.994222 | − | 0.107344i | \(-0.0342346\pi\) | |||||||
\(308\) | −7.96036 | + | 13.7878i | −0.0258453 | + | 0.0447654i | ||||
\(309\) | −28.3888 | + | 308.104i | −0.0918731 | + | 0.997099i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −216.659 | + | 125.088i | −0.696652 | + | 0.402213i | −0.806099 | − | 0.591780i | \(-0.798425\pi\) |
0.109447 | + | 0.993993i | \(0.465092\pi\) | |||||||
\(312\) | 7.54945 | − | 81.9342i | 0.0241969 | − | 0.262610i | ||||
\(313\) | 369.268 | + | 213.197i | 1.17977 | + | 0.681140i | 0.955961 | − | 0.293493i | \(-0.0948177\pi\) |
0.223808 | + | 0.974633i | \(0.428151\pi\) | |||||||
\(314\) | − | 29.4416i | − | 0.0937631i | ||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 87.4847 | 0.276850 | ||||||||
\(317\) | −231.990 | + | 401.818i | −0.731829 | + | 1.26756i | 0.224272 | + | 0.974527i | \(0.427999\pi\) |
−0.956101 | + | 0.293038i | \(0.905334\pi\) | |||||||
\(318\) | −167.563 | − | 363.712i | −0.526927 | − | 1.14375i | ||||
\(319\) | −6.52270 | − | 11.2977i | −0.0204473 | − | 0.0354158i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 62.4245 | − | 88.2816i | 0.194469 | − | 0.275020i | ||||
\(322\) | −9.74941 | − | 5.62883i | −0.0302777 | − | 0.0174808i | ||||
\(323\) | −466.219 | −1.44340 | ||||||||
\(324\) | 151.182 | + | 58.2075i | 0.466610 | + | 0.179653i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 162.965 | + | 94.0878i | 0.499892 | + | 0.288613i | ||||
\(327\) | 256.815 | − | 363.192i | 0.785368 | − | 1.11068i | ||||
\(328\) | 26.7416 | − | 15.4393i | 0.0815293 | − | 0.0470710i | ||||
\(329\) | −327.424 | + | 189.038i | −0.995210 | + | 0.574585i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −236.401 | + | 409.459i | −0.714203 | + | 1.23704i | 0.249063 | + | 0.968487i | \(0.419877\pi\) |
−0.963266 | + | 0.268549i | \(0.913456\pi\) | |||||||
\(332\) | −260.665 | −0.785135 | ||||||||
\(333\) | −396.237 | + | 140.091i | −1.18990 | + | 0.420693i | ||||
\(334\) | 416.499 | 1.24700 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 9.19184 | − | 99.7591i | 0.0273567 | − | 0.296902i | ||||
\(337\) | −264.663 | + | 152.803i | −0.785349 | + | 0.453422i | −0.838323 | − | 0.545174i | \(-0.816463\pi\) |
0.0529735 | + | 0.998596i | \(0.483130\pi\) | |||||||
\(338\) | 53.0114 | + | 91.8184i | 0.156838 | + | 0.271652i | ||||
\(339\) | −511.098 | − | 47.0928i | −1.50766 | − | 0.138917i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 2.90383i | − | 0.00851564i | ||||||
\(342\) | −309.048 | − | 57.4393i | −0.903650 | − | 0.167951i | ||||
\(343\) | 236.287i | 0.688884i | ||||||||
\(344\) | 110.338 | + | 63.7038i | 0.320751 | + | 0.185186i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −48.9773 | − | 84.8312i | −0.141553 | − | 0.245177i | ||||
\(347\) | −66.8373 | − | 115.766i | −0.192615 | − | 0.333618i | 0.753501 | − | 0.657446i | \(-0.228363\pi\) |
−0.946116 | + | 0.323828i | \(0.895030\pi\) | |||||||
\(348\) | 67.0251 | + | 47.3939i | 0.192601 | + | 0.136189i | ||||
\(349\) | −49.3786 | + | 85.5262i | −0.141486 | + | 0.245061i | −0.928056 | − | 0.372440i | \(-0.878521\pi\) |
0.786570 | + | 0.617500i | \(0.211855\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 253.810 | − | 64.2560i | 0.723105 | − | 0.183065i | ||||
\(352\) | 5.39388i | 0.0153235i | ||||||||
\(353\) | 163.058 | − | 282.424i | 0.461919 | − | 0.800068i | −0.537137 | − | 0.843495i | \(-0.680494\pi\) |
0.999057 | + | 0.0434270i | \(0.0138276\pi\) | |||||||
\(354\) | −65.0602 | − | 46.0045i | −0.183786 | − | 0.129956i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −251.666 | + | 145.300i | −0.706928 | + | 0.408145i | ||||
\(357\) | 429.417 | − | 197.833i | 1.20285 | − | 0.554155i | ||||
\(358\) | −58.1545 | − | 33.5755i | −0.162443 | − | 0.0937863i | ||||
\(359\) | 418.736i | 1.16639i | 0.812331 | + | 0.583197i | \(0.198199\pi\) | ||||
−0.812331 | + | 0.583197i | \(0.801801\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 248.939 | 0.689581 | ||||||||
\(362\) | 171.741 | − | 297.464i | 0.474423 | − | 0.821725i | ||||
\(363\) | −358.753 | − | 33.0556i | −0.988300 | − | 0.0910623i | ||||
\(364\) | −80.9546 | − | 140.217i | −0.222403 | − | 0.385213i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 55.3054 | + | 5.09586i | 0.151108 | + | 0.0139231i | ||||
\(367\) | 162.143 | + | 93.6135i | 0.441808 | + | 0.255078i | 0.704364 | − | 0.709839i | \(-0.251232\pi\) |
−0.262557 | + | 0.964917i | \(0.584566\pi\) | |||||||
\(368\) | −3.81405 | −0.0103643 | ||||||||
\(369\) | 74.6816 | + | 63.8490i | 0.202389 | + | 0.173033i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −682.423 | − | 393.997i | −1.83942 | − | 1.06199i | ||||
\(372\) | 7.64577 | + | 16.5959i | 0.0205531 | + | 0.0446127i | ||||
\(373\) | 390.603 | − | 225.515i | 1.04719 | − | 0.604597i | 0.125331 | − | 0.992115i | \(-0.460001\pi\) |
0.921862 | + | 0.387518i | \(0.126667\pi\) | |||||||
\(374\) | −22.0454 | + | 12.7279i | −0.0589449 | + | 0.0340319i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −64.0454 | + | 110.930i | −0.170334 | + | 0.295026i | ||||
\(377\) | 132.668 | 0.351905 | ||||||||
\(378\) | 309.027 | − | 78.2350i | 0.817531 | − | 0.206971i | ||||
\(379\) | 489.666 | 1.29200 | 0.645998 | − | 0.763339i | \(-0.276442\pi\) | ||||
0.645998 | + | 0.763339i | \(0.276442\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 191.283 | + | 135.257i | 0.502054 | + | 0.355006i | ||||
\(382\) | 9.22450 | − | 5.32577i | 0.0241479 | − | 0.0139418i | ||||
\(383\) | 51.5281 | + | 89.2492i | 0.134538 | + | 0.233027i | 0.925421 | − | 0.378941i | \(-0.123712\pi\) |
−0.790883 | + | 0.611968i | \(0.790378\pi\) | |||||||
\(384\) | −14.2020 | − | 30.8270i | −0.0369845 | − | 0.0802786i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 488.546i | − | 1.26566i | ||||||
\(387\) | −74.0801 | + | 398.583i | −0.191421 | + | 1.02993i | ||||
\(388\) | 219.757i | 0.566384i | ||||||||
\(389\) | −29.6816 | − | 17.1367i | −0.0763024 | − | 0.0440532i | 0.461363 | − | 0.887211i | \(-0.347360\pi\) |
−0.537666 | + | 0.843158i | \(0.680694\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.00000 | − | 15.5885i | −0.0230179 | − | 0.0398682i | ||||
\(392\) | −29.2699 | − | 50.6969i | −0.0746681 | − | 0.129329i | ||||
\(393\) | 64.4270 | − | 699.227i | 0.163936 | − | 1.77920i | ||||
\(394\) | 54.6061 | − | 94.5806i | 0.138594 | − | 0.240052i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −16.1816 | + | 5.72107i | −0.0408627 | + | 0.0144471i | ||||
\(397\) | − | 8.27245i | − | 0.0208374i | −0.999946 | − | 0.0104187i | \(-0.996684\pi\) | ||
0.999946 | − | 0.0104187i | \(-0.00331643\pi\) | |||||||
\(398\) | −108.530 | + | 187.980i | −0.272689 | + | 0.472311i | ||||
\(399\) | −561.792 | + | 258.819i | −1.40800 | + | 0.648669i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 358.636 | − | 207.059i | 0.894355 | − | 0.516356i | 0.0189903 | − | 0.999820i | \(-0.493955\pi\) |
0.875364 | + | 0.483464i | \(0.160622\pi\) | |||||||
\(402\) | 259.965 | + | 183.823i | 0.646679 | + | 0.457271i | ||||
\(403\) | 25.5747 | + | 14.7656i | 0.0634608 | + | 0.0366391i | ||||
\(404\) | − | 295.078i | − | 0.730391i | ||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 161.530 | 0.397857 | ||||||||
\(407\) | 22.2630 | − | 38.5607i | 0.0547003 | − | 0.0947438i | ||||
\(408\) | 92.4809 | − | 130.788i | 0.226669 | − | 0.320558i | ||||
\(409\) | −163.106 | − | 282.508i | −0.398792 | − | 0.690729i | 0.594785 | − | 0.803885i | \(-0.297237\pi\) |
−0.993577 | + | 0.113156i | \(0.963904\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −188.082 | − | 408.252i | −0.457621 | − | 0.993314i | ||||
\(412\) | 178.637 | + | 103.136i | 0.433585 | + | 0.250331i | ||||
\(413\) | −156.795 | −0.379648 | ||||||||
\(414\) | −4.04541 | − | 11.4421i | −0.00977152 | − | 0.0276380i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −47.5051 | − | 27.4271i | −0.114195 | − | 0.0659305i | ||||
\(417\) | −252.521 | − | 23.2673i | −0.605565 | − | 0.0557970i | ||||
\(418\) | 28.8413 | − | 16.6515i | 0.0689983 | − | 0.0398362i | ||||
\(419\) | 468.325 | − | 270.388i | 1.11772 | − | 0.645317i | 0.176903 | − | 0.984228i | \(-0.443392\pi\) |
0.940818 | + | 0.338912i | \(0.110059\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −141.848 | + | 245.689i | −0.336932 | + | 0.583584i | −0.983854 | − | 0.178973i | \(-0.942723\pi\) |
0.646922 | + | 0.762556i | \(0.276056\pi\) | |||||||
\(422\) | 72.9179 | 0.172791 | ||||||||
\(423\) | −400.720 | − | 74.4773i | −0.947329 | − | 0.176069i | ||||
\(424\) | −266.969 | −0.629645 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 69.4393 | − | 31.9908i | 0.163003 | − | 0.0750958i | ||||
\(427\) | 94.6464 | − | 54.6441i | 0.221654 | − | 0.127972i | ||||
\(428\) | −36.0408 | − | 62.4245i | −0.0842075 | − | 0.145852i | ||||
\(429\) | −16.0148 | + | 22.6483i | −0.0373305 | + | 0.0527933i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 257.429i | − | 0.597282i | −0.954365 | − | 0.298641i | \(-0.903467\pi\) | ||
0.954365 | − | 0.298641i | \(-0.0965334\pi\) | |||||||
\(432\) | 77.4174 | − | 75.3031i | 0.179207 | − | 0.174313i | ||||
\(433\) | 476.272i | 1.09994i | 0.835186 | + | 0.549968i | \(0.185360\pi\) | ||||
−0.835186 | + | 0.549968i | \(0.814640\pi\) | |||||||
\(434\) | 31.1385 | + | 17.9778i | 0.0717477 | + | 0.0414236i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −148.272 | − | 256.815i | −0.340074 | − | 0.589026i | ||||
\(437\) | 11.7744 | + | 20.3939i | 0.0269437 | + | 0.0466679i | ||||
\(438\) | −30.4770 | + | 14.0408i | −0.0695822 | + | 0.0320567i | ||||
\(439\) | −278.931 | + | 483.123i | −0.635379 | + | 1.10051i | 0.351056 | + | 0.936355i | \(0.385823\pi\) |
−0.986435 | + | 0.164154i | \(0.947511\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 121.045 | − | 141.582i | 0.274479 | − | 0.321047i | ||||
\(442\) | − | 258.879i | − | 0.585698i | ||||||
\(443\) | −415.923 | + | 720.400i | −0.938879 | + | 1.62619i | −0.171312 | + | 0.985217i | \(0.554801\pi\) |
−0.767567 | + | 0.640969i | \(0.778533\pi\) | |||||||
\(444\) | −25.7071 | + | 279.000i | −0.0578990 | + | 0.628378i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −383.623 | + | 221.485i | −0.860142 | + | 0.496603i | ||||
\(447\) | −31.7933 | + | 345.053i | −0.0711259 | + | 0.771930i | ||||
\(448\) | −57.8399 | − | 33.3939i | −0.129107 | − | 0.0745399i | ||||
\(449\) | − | 729.927i | − | 1.62567i | −0.582492 | − | 0.812836i | \(-0.697922\pi\) | ||
0.582492 | − | 0.812836i | \(-0.302078\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.4097 | −0.0230814 | ||||||||
\(452\) | −171.088 | + | 296.333i | −0.378513 | + | 0.655603i | ||||
\(453\) | −81.3092 | − | 176.490i | −0.179490 | − | 0.389602i | ||||
\(454\) | 53.9319 | + | 93.4128i | 0.118793 | + | 0.205755i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −120.990 | + | 171.105i | −0.265328 | + | 0.375231i | ||||
\(457\) | 614.563 | + | 354.818i | 1.34478 | + | 0.776407i | 0.987504 | − | 0.157594i | \(-0.0503737\pi\) |
0.357272 | + | 0.934000i | \(0.383707\pi\) | |||||||
\(458\) | −171.890 | −0.375307 | ||||||||
\(459\) | 490.454 | + | 138.721i | 1.06853 | + | 0.302225i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −7.96990 | − | 4.60142i | −0.0172883 | − | 0.00998140i | 0.491331 | − | 0.870973i | \(-0.336511\pi\) |
−0.508619 | + | 0.860992i | \(0.669844\pi\) | |||||||
\(462\) | −19.4988 | + | 27.5755i | −0.0422053 | + | 0.0596872i | ||||
\(463\) | −47.8024 | + | 27.5987i | −0.103245 | + | 0.0596085i | −0.550733 | − | 0.834681i | \(-0.685652\pi\) |
0.447488 | + | 0.894290i | \(0.352319\pi\) | |||||||
\(464\) | 47.3939 | − | 27.3629i | 0.102142 | − | 0.0589717i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 106.788 | − | 184.962i | 0.229158 | − | 0.396914i | ||||
\(467\) | −625.811 | −1.34007 | −0.670033 | − | 0.742331i | \(-0.733720\pi\) | ||||
−0.670033 | + | 0.742331i | \(0.733720\pi\) | |||||||
\(468\) | 31.8945 | − | 171.606i | 0.0681506 | − | 0.366680i | ||||
\(469\) | 626.514 | 1.33585 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 5.73036 | − | 62.1917i | 0.0121664 | − | 0.132042i | ||||
\(472\) | −46.0045 | + | 26.5607i | −0.0974672 | + | 0.0562727i | ||||
\(473\) | −21.4757 | − | 37.1969i | −0.0454031 | − | 0.0786405i | ||||
\(474\) | 184.800 | + | 17.0276i | 0.389874 | + | 0.0359231i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | − | 315.198i | − | 0.662180i | ||||||
\(477\) | −283.164 | − | 800.908i | −0.593635 | − | 1.67905i | ||||
\(478\) | − | 124.045i | − | 0.259509i | ||||||
\(479\) | −267.856 | − | 154.647i | −0.559199 | − | 0.322854i | 0.193625 | − | 0.981076i | \(-0.437976\pi\) |
−0.752824 | + | 0.658222i | \(0.771309\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 226.409 | + | 392.151i | 0.470704 | + | 0.815283i | ||||
\(482\) | 142.685 | + | 247.139i | 0.296028 | + | 0.512736i | ||||
\(483\) | −19.4988 | − | 13.7878i | −0.0403702 | − | 0.0285461i | ||||
\(484\) | −120.091 | + | 208.003i | −0.248122 | + | 0.429759i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 308.023 | + | 152.381i | 0.633792 | + | 0.313541i | ||||
\(487\) | 28.3337i | 0.0581800i | 0.999577 | + | 0.0290900i | \(0.00926095\pi\) | ||||
−0.999577 | + | 0.0290900i | \(0.990739\pi\) | |||||||
\(488\) | 18.5132 | − | 32.0658i | 0.0379369 | − | 0.0657086i | ||||
\(489\) | 325.930 | + | 230.467i | 0.666523 | + | 0.471303i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 822.461 | − | 474.848i | 1.67507 | − | 0.967105i | 0.710348 | − | 0.703851i | \(-0.248538\pi\) |
0.964727 | − | 0.263254i | \(-0.0847956\pi\) | |||||||
\(492\) | 59.4933 | − | 27.4087i | 0.120921 | − | 0.0557087i | ||||
\(493\) | 223.670 | + | 129.136i | 0.453693 | + | 0.261940i | ||||
\(494\) | 338.682i | 0.685592i | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.1816 | 0.0245597 | ||||||||
\(497\) | 75.2214 | − | 130.287i | 0.151351 | − | 0.262147i | ||||
\(498\) | −550.621 | − | 50.7344i | −1.10566 | − | 0.101876i | ||||
\(499\) | −280.113 | − | 485.170i | −0.561349 | − | 0.972284i | −0.997379 | − | 0.0723525i | \(-0.976949\pi\) |
0.436030 | − | 0.899932i | \(-0.356384\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 879.802 | + | 81.0653i | 1.75609 | + | 0.161807i | ||||
\(502\) | 64.4535 | + | 37.2122i | 0.128393 | + | 0.0741280i | ||||
\(503\) | 897.832 | 1.78495 | 0.892477 | − | 0.451094i | \(-0.148966\pi\) | ||||
0.892477 | + | 0.451094i | \(0.148966\pi\) | |||||||
\(504\) | 38.8332 | − | 208.939i | 0.0770499 | − | 0.414562i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 1.11352 | + | 0.642891i | 0.00220063 | + | 0.00127053i | ||||
\(507\) | 94.1087 | + | 204.272i | 0.185619 | + | 0.402904i | ||||
\(508\) | 135.257 | − | 78.0908i | 0.266254 | − | 0.153722i | ||||
\(509\) | 170.454 | − | 98.4114i | 0.334879 | − | 0.193343i | −0.323126 | − | 0.946356i | \(-0.604734\pi\) |
0.658005 | + | 0.753013i | \(0.271400\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −33.0148 | + | 57.1833i | −0.0646082 | + | 0.111905i | ||||
\(512\) | −22.6274 | −0.0441942 | ||||||||
\(513\) | −641.645 | − | 181.485i | −1.25077 | − | 0.353771i | ||||
\(514\) | 114.136 | 0.222055 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 220.677 | + | 156.042i | 0.427668 | + | 0.302407i | ||||
\(517\) | 37.3964 | − | 21.5908i | 0.0723334 | − | 0.0417617i | ||||
\(518\) | 275.664 | + | 477.464i | 0.532170 | + | 0.921746i | ||||
\(519\) | −86.9472 | − | 188.728i | −0.167528 | − | 0.363637i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 375.837i | − | 0.721377i | −0.932686 | − | 0.360688i | \(-0.882542\pi\) | ||
0.932686 | − | 0.360688i | \(-0.117458\pi\) | |||||||
\(522\) | 132.357 | + | 113.159i | 0.253558 | + | 0.216780i | ||||
\(523\) | 91.1827i | 0.174345i | 0.996193 | + | 0.0871727i | \(0.0277832\pi\) | ||||
−0.996193 | + | 0.0871727i | \(0.972217\pi\) | |||||||
\(524\) | −405.409 | − | 234.063i | −0.773681 | − | 0.446685i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 327.916 | + | 567.967i | 0.623415 | + | 1.07979i | ||||
\(527\) | 28.7450 | + | 49.7878i | 0.0545445 | + | 0.0944739i | ||||
\(528\) | −1.04984 | + | 11.3939i | −0.00198833 | + | 0.0215793i | ||||
\(529\) | 264.045 | − | 457.340i | 0.499141 | − | 0.864537i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −128.477 | − | 109.842i | −0.241953 | − | 0.206858i | ||||
\(532\) | 412.363i | 0.775119i | ||||||||
\(533\) | 52.9318 | − | 91.6806i | 0.0993092 | − | 0.172009i | ||||
\(534\) | −559.893 | + | 257.944i | −1.04849 | + | 0.483041i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 183.823 | − | 106.130i | 0.342953 | − | 0.198004i | ||||
\(537\) | −116.309 | − | 82.2429i | −0.216590 | − | 0.153152i | ||||
\(538\) | 53.2473 | + | 30.7423i | 0.0989727 | + | 0.0571419i | ||||
\(539\) | 19.7348i | 0.0366137i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −38.8490 | −0.0718096 | −0.0359048 | − | 0.999355i | \(-0.511431\pi\) | ||||
−0.0359048 | + | 0.999355i | \(0.511431\pi\) | |||||||
\(542\) | −242.280 | + | 419.641i | −0.447011 | + | 0.774246i | ||||
\(543\) | 420.678 | − | 594.929i | 0.774729 | − | 1.09563i | ||||
\(544\) | −53.3939 | − | 92.4809i | −0.0981505 | − | 0.170002i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −143.715 | − | 311.948i | −0.263214 | − | 0.571333i | ||||
\(547\) | −403.606 | − | 233.022i | −0.737854 | − | 0.426000i | 0.0834344 | − | 0.996513i | \(-0.473411\pi\) |
−0.821289 | + | 0.570513i | \(0.806744\pi\) | |||||||
\(548\) | −299.662 | −0.546829 | ||||||||
\(549\) | 115.834 | + | 21.5287i | 0.210990 | + | 0.0392144i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −292.621 | − | 168.945i | −0.531072 | − | 0.306615i | ||||
\(552\) | −8.05669 | − | 0.742346i | −0.0145954 | − | 0.00134483i | ||||
\(553\) | 316.257 | − | 182.591i | 0.571893 | − | 0.330182i | ||||
\(554\) | −60.0125 | + | 34.6482i | −0.108326 | + | 0.0625419i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −84.5301 | + | 146.410i | −0.152033 | + | 0.263328i | ||||
\(557\) | 695.042 | 1.24783 | 0.623916 | − | 0.781492i | \(-0.285541\pi\) | ||||
0.623916 | + | 0.781492i | \(0.285541\pi\) | |||||||
\(558\) | 12.9206 | + | 36.5449i | 0.0231551 | + | 0.0654926i | ||||
\(559\) | 436.803 | 0.781400 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −49.0454 | + | 22.5953i | −0.0874250 | + | 0.0402768i | ||||
\(562\) | −25.2848 | + | 14.5982i | −0.0449908 | + | 0.0259755i | ||||
\(563\) | −273.537 | − | 473.780i | −0.485857 | − | 0.841528i | 0.514011 | − | 0.857783i | \(-0.328159\pi\) |
−0.999868 | + | 0.0162552i | \(0.994826\pi\) | |||||||
\(564\) | −156.879 | + | 221.860i | −0.278153 | + | 0.393368i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | − | 75.5313i | − | 0.133447i | ||||||
\(567\) | 668.006 | − | 105.114i | 1.17814 | − | 0.185386i | ||||
\(568\) | − | 50.9694i | − | 0.0897348i | ||||||
\(569\) | −215.954 | − | 124.681i | −0.379533 | − | 0.219123i | 0.298082 | − | 0.954540i | \(-0.403653\pi\) |
−0.677615 | + | 0.735417i | \(0.736986\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −36.9166 | − | 63.9414i | −0.0646525 | − | 0.111981i | 0.831887 | − | 0.554945i | \(-0.187261\pi\) |
−0.896540 | + | 0.442963i | \(0.853927\pi\) | |||||||
\(572\) | 9.24614 | + | 16.0148i | 0.0161646 | + | 0.0279979i | ||||
\(573\) | 20.5222 | − | 9.45459i | 0.0358153 | − | 0.0165002i | ||||
\(574\) | 64.4472 | − | 111.626i | 0.112277 | − | 0.194470i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −24.0000 | − | 67.8823i | −0.0416667 | − | 0.117851i | ||||
\(577\) | 43.9092i | 0.0760991i | 0.999276 | + | 0.0380496i | \(0.0121145\pi\) | ||||
−0.999276 | + | 0.0380496i | \(0.987886\pi\) | |||||||
\(578\) | 47.6330 | − | 82.5028i | 0.0824101 | − | 0.142738i | ||||
\(579\) | 95.0880 | − | 1031.99i | 0.164228 | − | 1.78237i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −942.302 | + | 544.038i | −1.62186 | + | 0.936382i | ||||
\(582\) | −42.7724 | + | 464.209i | −0.0734921 | + | 0.797610i | ||||
\(583\) | 77.9423 | + | 45.0000i | 0.133692 | + | 0.0771870i | ||||
\(584\) | 22.3706i | 0.0383057i | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −21.1056 | −0.0360164 | ||||||||
\(587\) | −220.194 | + | 381.386i | −0.375117 | + | 0.649721i | −0.990345 | − | 0.138628i | \(-0.955731\pi\) |
0.615228 | + | 0.788349i | \(0.289064\pi\) | |||||||
\(588\) | −51.9615 | − | 112.788i | −0.0883699 | − | 0.191816i | ||||
\(589\) | −37.6061 | − | 65.1357i | −0.0638474 | − | 0.110587i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 133.757 | − | 189.161i | 0.226323 | − | 0.320070i | ||||
\(592\) | 161.763 | + | 93.3939i | 0.273248 | + | 0.157760i | ||||
\(593\) | 347.232 | 0.585551 | 0.292776 | − | 0.956181i | \(-0.405421\pi\) | ||||
0.292776 | + | 0.956181i | \(0.405421\pi\) | |||||||
\(594\) | −35.2951 | + | 8.93552i | −0.0594194 | + | 0.0150430i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 200.060 | + | 115.505i | 0.335671 | + | 0.193800i | ||||
\(597\) | −265.843 | + | 375.959i | −0.445299 | + | 0.629747i | ||||
\(598\) | −11.3242 | + | 6.53801i | −0.0189367 | + | 0.0109331i | ||||
\(599\) | 684.083 | − | 394.956i | 1.14204 | − | 0.659359i | 0.195107 | − | 0.980782i | \(-0.437495\pi\) |
0.946936 | + | 0.321423i | \(0.104161\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 353.455 | − | 612.201i | 0.588111 | − | 1.01864i | −0.406369 | − | 0.913709i | \(-0.633205\pi\) |
0.994480 | − | 0.104929i | \(-0.0334614\pi\) | |||||||
\(602\) | 531.829 | 0.883438 | ||||||||
\(603\) | 513.364 | + | 438.901i | 0.851351 | + | 0.727862i | ||||
\(604\) | −129.546 | −0.214480 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 57.4324 | − | 623.314i | 0.0947729 | − | 1.02857i | ||||
\(607\) | 1033.39 | − | 596.628i | 1.70246 | − | 0.982913i | 0.759193 | − | 0.650866i | \(-0.225594\pi\) |
0.943263 | − | 0.332048i | \(-0.107739\pi\) | |||||||
\(608\) | 69.8535 | + | 120.990i | 0.114891 | + | 0.198996i | ||||
\(609\) | 341.212 | + | 31.4394i | 0.560282 | + | 0.0516246i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 439.145i | 0.718731i | ||||||||
\(612\) | 220.810 | − | 258.272i | 0.360801 | − | 0.422014i | ||||
\(613\) | 629.181i | 1.02640i | 0.858270 | + | 0.513198i | \(0.171539\pi\) | ||||
−0.858270 | + | 0.513198i | \(0.828461\pi\) | |||||||
\(614\) | −80.7219 | − | 46.6048i | −0.131469 | − | 0.0759036i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 11.2577 | + | 19.4988i | 0.0182754 | + | 0.0316539i | ||||
\(617\) | −96.3648 | − | 166.909i | −0.156183 | − | 0.270516i | 0.777306 | − | 0.629122i | \(-0.216586\pi\) |
−0.933489 | + | 0.358606i | \(0.883252\pi\) | |||||||
\(618\) | 357.274 | + | 252.631i | 0.578114 | + | 0.408788i | ||||
\(619\) | −76.4773 | + | 132.463i | −0.123550 | + | 0.213994i | −0.921165 | − | 0.389172i | \(-0.872761\pi\) |
0.797615 | + | 0.603166i | \(0.206095\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −6.31837 | − | 24.9574i | −0.0101745 | − | 0.0401891i | ||||
\(622\) | 353.803i | 0.568814i | ||||||||
\(623\) | −606.515 | + | 1050.51i | −0.973539 | + | 1.68622i | ||||
\(624\) | −95.0102 | − | 67.1824i | −0.152260 | − | 0.107664i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 522.224 | − | 301.506i | 0.834223 | − | 0.481639i | ||||
\(627\) | 64.1645 | − | 29.5607i | 0.102336 | − | 0.0471463i | ||||
\(628\) | −36.0585 | − | 20.8184i | −0.0574180 | − | 0.0331503i | ||||
\(629\) | 881.525i | 1.40147i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 44.8786 | 0.0711229 | 0.0355615 | − | 0.999367i | \(-0.488678\pi\) | ||||
0.0355615 | + | 0.999367i | \(0.488678\pi\) | |||||||
\(632\) | 61.8610 | − | 107.146i | 0.0978814 | − | 0.169535i | ||||
\(633\) | 154.030 | + | 14.1924i | 0.243333 | + | 0.0224208i | ||||
\(634\) | 328.083 | + | 568.256i | 0.517481 | + | 0.896303i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −563.939 | − | 51.9615i | −0.886696 | − | 0.0817005i | ||||
\(637\) | −173.809 | − | 100.348i | −0.272855 | − | 0.157533i | ||||
\(638\) | −18.4490 | −0.0289169 | ||||||||
\(639\) | 152.908 | − | 54.0612i | 0.239293 | − | 0.0846028i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −209.106 | − | 120.727i | −0.326219 | − | 0.188342i | 0.327942 | − | 0.944698i | \(-0.393645\pi\) |
−0.654161 | + | 0.756355i | \(0.726978\pi\) | |||||||
\(642\) | −63.9816 | − | 138.879i | −0.0996598 | − | 0.216322i | ||||
\(643\) | 685.380 | − | 395.704i | 1.06591 | − | 0.615403i | 0.138849 | − | 0.990314i | \(-0.455660\pi\) |
0.927061 | + | 0.374910i | \(0.122326\pi\) | |||||||
\(644\) | −13.7878 | + | 7.96036i | −0.0214096 | + | 0.0123608i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −329.666 | + | 570.999i | −0.510319 | + | 0.883899i | ||||
\(647\) | 294.028 | 0.454448 | 0.227224 | − | 0.973842i | \(-0.427035\pi\) | ||||
0.227224 | + | 0.973842i | \(0.427035\pi\) | |||||||
\(648\) | 178.191 | − | 144.000i | 0.274986 | − | 0.222222i | ||||
\(649\) | 17.9082 | 0.0275935 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 62.2770 | + | 44.0365i | 0.0956636 | + | 0.0676444i | ||||
\(652\) | 230.467 | − | 133.060i | 0.353477 | − | 0.204080i | ||||
\(653\) | −384.156 | − | 665.379i | −0.588295 | − | 1.01896i | −0.994456 | − | 0.105155i | \(-0.966466\pi\) |
0.406161 | − | 0.913802i | \(-0.366867\pi\) | |||||||
\(654\) | −263.221 | − | 571.349i | −0.402479 | − | 0.873622i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | − | 43.6689i | − | 0.0665684i | ||||||
\(657\) | −67.1117 | + | 23.7276i | −0.102149 | + | 0.0361150i | ||||
\(658\) | 534.681i | 0.812585i | ||||||||
\(659\) | 373.204 | + | 215.469i | 0.566318 | + | 0.326964i | 0.755678 | − | 0.654944i | \(-0.227308\pi\) |
−0.189359 | + | 0.981908i | \(0.560641\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −506.136 | − | 876.653i | −0.765712 | − | 1.32625i | −0.939869 | − | 0.341534i | \(-0.889053\pi\) |
0.174157 | − | 0.984718i | \(-0.444280\pi\) | |||||||
\(662\) | 334.322 | + | 579.062i | 0.505018 | + | 0.874717i | ||||
\(663\) | 50.3868 | − | 546.848i | 0.0759981 | − | 0.824808i | ||||
\(664\) | −184.318 | + | 319.248i | −0.277587 | + | 0.480795i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −108.606 | + | 584.348i | −0.163072 | + | 0.877399i | ||||
\(667\) | − | 13.0454i | − | 0.0195583i | ||||||
\(668\) | 294.510 | − | 510.106i | 0.440883 | − | 0.763631i | ||||
\(669\) | −853.464 | + | 393.192i | −1.27573 | + | 0.587731i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −10.8099 | + | 6.24112i | −0.0161102 | + | 0.00930123i | ||||
\(672\) | −115.680 | − | 81.7980i | −0.172143 | − | 0.121723i | ||||
\(673\) | −487.755 | − | 281.606i | −0.724748 | − | 0.418433i | 0.0917499 | − | 0.995782i | \(-0.470754\pi\) |
−0.816498 | + | 0.577349i | \(0.804087\pi\) | |||||||
\(674\) | 432.192i | 0.641235i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 149.939 | 0.221803 | ||||||||
\(677\) | −175.068 | + | 303.227i | −0.258594 | + | 0.447897i | −0.965865 | − | 0.259044i | \(-0.916592\pi\) |
0.707272 | + | 0.706942i | \(0.249926\pi\) | |||||||
\(678\) | −419.078 | + | 592.665i | −0.618109 | + | 0.874138i | ||||
\(679\) | 458.659 | + | 794.421i | 0.675492 | + | 1.16999i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 95.7429 | + | 207.820i | 0.140592 | + | 0.305168i | ||||
\(682\) | −3.55645 | − | 2.05332i | −0.00521474 | − | 0.00301073i | ||||
\(683\) | −502.818 | −0.736190 | −0.368095 | − | 0.929788i | \(-0.619990\pi\) | ||||
−0.368095 | + | 0.929788i | \(0.619990\pi\) | |||||||
\(684\) | −288.879 | + | 337.890i | −0.422337 | + | 0.493991i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 289.392 | + | 167.080i | 0.421854 | + | 0.243557i | ||||
\(687\) | −363.097 | − | 33.4559i | −0.528525 | − | 0.0486985i | ||||
\(688\) | 156.042 | − | 90.0908i | 0.226805 | − | 0.130946i | ||||
\(689\) | −792.650 | + | 457.637i | −1.15044 | + | 0.664205i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −188.159 | + | 325.902i | −0.272300 | + | 0.471638i | −0.969450 | − | 0.245287i | \(-0.921118\pi\) |
0.697150 | + | 0.716925i | \(0.254451\pi\) | |||||||
\(692\) | −138.529 | −0.200186 | ||||||||
\(693\) | −46.5559 | + | 54.4546i | −0.0671803 | + | 0.0785781i | ||||
\(694\) | −189.044 | −0.272398 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 105.439 | − | 48.5761i | 0.151493 | − | 0.0697932i | ||||
\(697\) | 178.480 | − | 103.045i | 0.256069 | − | 0.147841i | ||||
\(698\) | 69.8318 | + | 120.952i | 0.100046 | + | 0.173284i | ||||
\(699\) | 261.576 | − | 369.924i | 0.374214 | − | 0.529218i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 489.681i | 0.698546i | 0.937021 | + | 0.349273i | \(0.113571\pi\) | ||||
−0.937021 | + | 0.349273i | \(0.886429\pi\) | |||||||
\(702\) | 100.774 | − | 356.288i | 0.143552 | − | 0.507533i | ||||
\(703\) | − | 1153.27i | − | 1.64050i | ||||||
\(704\) | 6.60612 | + | 3.81405i | 0.00938370 | + | 0.00541768i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −230.598 | − | 399.408i | −0.326626 | − | 0.565733i | ||||
\(707\) | −615.862 | − | 1066.70i | −0.871092 | − | 1.50878i | ||||
\(708\) | −102.348 | + | 47.1520i | −0.144560 | + | 0.0665989i | ||||
\(709\) | 237.014 | − | 410.521i | 0.334294 | − | 0.579014i | −0.649055 | − | 0.760741i | \(-0.724836\pi\) |
0.983349 | + | 0.181728i | \(0.0581689\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 387.053 | + | 71.9371i | 0.544378 | + | 0.101177i | ||||
\(712\) | 410.969i | 0.577204i | ||||||||
\(713\) | 1.45192 | − | 2.51479i | 0.00203635 | − | 0.00352706i | ||||
\(714\) | 61.3485 | − | 665.815i | 0.0859222 | − | 0.932514i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −82.2429 | + | 47.4829i | −0.114864 | + | 0.0663170i | ||||
\(717\) | 24.1435 | − | 262.030i | 0.0336730 | − | 0.365453i | ||||
\(718\) | 512.844 | + | 296.091i | 0.714268 | + | 0.412383i | ||||
\(719\) | 108.122i | 0.150379i | 0.997169 | + | 0.0751894i | \(0.0239561\pi\) | ||||
−0.997169 | + | 0.0751894i | \(0.976044\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 861.030 | 1.19422 | ||||||||
\(722\) | 176.026 | − | 304.886i | 0.243804 | − | 0.422280i | ||||
\(723\) | 253.303 | + | 549.820i | 0.350350 | + | 0.760470i | ||||
\(724\) | −242.879 | − | 420.678i | −0.335468 | − | 0.581047i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −294.161 | + | 416.007i | −0.405181 | + | 0.573012i | ||||
\(727\) | −385.027 | − | 222.296i | −0.529611 | − | 0.305771i | 0.211247 | − | 0.977433i | \(-0.432248\pi\) |
−0.740858 | + | 0.671662i | \(0.765581\pi\) | |||||||
\(728\) | −228.974 | −0.314525 | ||||||||
\(729\) | 621.000 | + | 381.838i | 0.851852 | + | 0.523783i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 736.423 | + | 425.174i | 1.00742 | + | 0.581634i | ||||
\(732\) | 45.3479 | − | 64.1316i | 0.0619507 | − | 0.0876115i | ||||
\(733\) | −620.388 | + | 358.181i | −0.846368 | + | 0.488651i | −0.859424 | − | 0.511264i | \(-0.829177\pi\) |
0.0130556 | + | 0.999915i | \(0.495844\pi\) | |||||||
\(734\) | 229.305 | − | 132.390i | 0.312405 | − | 0.180367i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.69694 | + | 4.67123i | −0.00366432 | + | 0.00634679i | ||||
\(737\) | −71.5567 | −0.0970918 | ||||||||
\(738\) | 131.007 | − | 46.3179i | 0.177516 | − | 0.0627613i | ||||
\(739\) | −933.362 | −1.26301 | −0.631504 | − | 0.775373i | \(-0.717562\pi\) | ||||
−0.631504 | + | 0.775373i | \(0.717562\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −65.9194 | + | 715.424i | −0.0889600 | + | 0.965484i | ||||
\(742\) | −965.093 | + | 557.196i | −1.30066 | + | 0.750939i | ||||
\(743\) | −7.95550 | − | 13.7793i | −0.0107073 | − | 0.0185455i | 0.860622 | − | 0.509244i | \(-0.170075\pi\) |
−0.871329 | + | 0.490699i | \(0.836742\pi\) | |||||||
\(744\) | 25.7321 | + | 2.37097i | 0.0345862 | + | 0.00318679i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | − | 637.852i | − | 0.855030i | ||||||
\(747\) | −1153.24 | − | 214.340i | −1.54383 | − | 0.286934i | ||||
\(748\) | 36.0000i | 0.0481283i | ||||||||
\(749\) | −260.574 | − | 150.443i | −0.347896 | − | 0.200858i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −404.916 | − | 701.334i | −0.539169 | − | 0.933867i | −0.998949 | − | 0.0458347i | \(-0.985405\pi\) |
0.459781 | − | 0.888033i | \(-0.347928\pi\) | |||||||
\(752\) | 90.5739 | + | 156.879i | 0.120444 | + | 0.208615i | ||||
\(753\) | 128.907 | + | 91.1510i | 0.171191 | + | 0.121050i | ||||
\(754\) | 93.8105 | − | 162.484i | 0.124417 | − | 0.215497i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 122.697 | − | 433.799i | 0.162298 | − | 0.573808i | ||||
\(757\) | − | 689.637i | − | 0.911013i | −0.890232 | − | 0.455506i | \(-0.849458\pi\) | ||
0.890232 | − | 0.455506i | \(-0.150542\pi\) | |||||||
\(758\) | 346.246 | − | 599.716i | 0.456789 | − | 0.791182i | ||||
\(759\) | 2.22704 | + | 1.57475i | 0.00293417 | + | 0.00207477i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −825.393 | + | 476.541i | −1.08462 | + | 0.626204i | −0.932138 | − | 0.362103i | \(-0.882059\pi\) |
−0.152479 | + | 0.988307i | \(0.548726\pi\) | |||||||
\(762\) | 300.913 | − | 138.631i | 0.394899 | − | 0.181931i | ||||
\(763\) | −1072.01 | − | 618.924i | −1.40499 | − | 0.811172i | ||||
\(764\) | − | 15.0635i | − | 0.0197167i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 145.743 | 0.190266 | ||||||||
\(767\) | −91.0604 | + | 157.721i | −0.118723 | + | 0.205634i | ||||
\(768\) | −47.7975 | − | 4.40408i | −0.0622364 | − | 0.00573448i | ||||
\(769\) | −328.348 | − | 568.715i | −0.426980 | − | 0.739552i | 0.569623 | − | 0.821906i | \(-0.307089\pi\) |
−0.996603 | + | 0.0823545i | \(0.973756\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 241.098 | + | 22.2149i | 0.312708 | + | 0.0288131i | ||||
\(772\) | −598.344 | − | 345.454i | −0.775057 | − | 0.447479i | ||||
\(773\) | 278.021 | 0.359665 | 0.179832 | − | 0.983697i | \(-0.442445\pi\) | ||||
0.179832 | + | 0.983697i | \(0.442445\pi\) | |||||||
\(774\) | 435.780 | + | 372.570i | 0.563023 | + | 0.481356i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 269.146 | + | 155.392i | 0.346838 | + | 0.200247i | ||||
\(777\) | 489.374 | + | 1062.24i | 0.629825 | + | 1.36710i | ||||
\(778\) | −41.9762 | + | 24.2350i | −0.0539539 | + | 0.0311503i | ||||
\(779\) | −233.499 | + | 134.811i | −0.299743 | + | 0.173056i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.59133 | + | 14.8806i | −0.0110004 | + | 0.0190533i | ||||
\(782\) | −25.4558 | −0.0325522 | ||||||||
\(783\) | 257.563 | + | 264.795i | 0.328944 | + | 0.338180i | ||||
\(784\) | −82.7878 | −0.105597 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −810.817 | − | 573.334i | −1.03157 | − | 0.729433i | ||||
\(787\) | −711.833 | + | 410.977i | −0.904489 | + | 0.522207i | −0.878654 | − | 0.477459i | \(-0.841558\pi\) |
−0.0258350 | + | 0.999666i | \(0.508224\pi\) | |||||||
\(788\) | −77.2247 | − | 133.757i | −0.0980009 | − | 0.169743i | ||||
\(789\) | 582.135 | + | 1263.58i | 0.737813 | + | 1.60150i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1428.32i | 1.80572i | ||||||||
\(792\) | −4.43529 | + | 23.8638i | −0.00560011 | + | 0.0301310i | ||||
\(793\) | − | 126.941i | − | 0.160077i | ||||||
\(794\) | −10.1316 | − | 5.84950i | −0.0127602 | − | 0.00736713i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 153.485 | + | 265.843i | 0.192820 | + | 0.333974i | ||||
\(797\) | −661.257 | − | 1145.33i | −0.829683 | − | 1.43705i | −0.898287 | − | 0.439409i | \(-0.855188\pi\) |
0.0686043 | − | 0.997644i | \(-0.478145\pi\) | |||||||
\(798\) | −80.2602 | + | 871.065i | −0.100577 | + | 1.09156i | ||||
\(799\) | −427.454 | + | 740.372i | −0.534986 | + | 0.926624i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1232.91 | + | 435.899i | −1.53921 | + | 0.544193i | ||||
\(802\) | − | 585.650i | − | 0.730238i | ||||||
\(803\) | 3.77075 | − | 6.53113i | 0.00469583 | − | 0.00813341i | ||||
\(804\) | 408.959 | − | 188.408i | 0.508656 | − | 0.234339i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 36.1681 | − | 20.8817i | 0.0448736 | − | 0.0259078i | ||||
\(807\) | 106.495 | + | 75.3031i | 0.131964 | + | 0.0933123i | ||||
\(808\) | −361.395 | − | 208.652i | −0.447271 | − | 0.258232i | ||||
\(809\) | − | 235.681i | − | 0.291324i | −0.989334 | − | 0.145662i | \(-0.953469\pi\) | ||
0.989334 | − | 0.145662i | \(-0.0465311\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −587.362 | −0.724244 | −0.362122 | − | 0.932131i | \(-0.617948\pi\) | ||||
−0.362122 | + | 0.932131i | \(0.617948\pi\) | |||||||
\(812\) | 114.219 | − | 197.833i | 0.140664 | − | 0.243637i | ||||
\(813\) | −593.462 | + | 839.283i | −0.729966 | + | 1.03233i | ||||
\(814\) | −31.4847 | − | 54.5331i | −0.0386790 | − | 0.0669940i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −94.7878 | − | 205.746i | −0.116161 | − | 0.252140i | ||||
\(817\) | −963.439 | − | 556.242i | −1.17924 | − | 0.680835i | ||||
\(818\) | −461.334 | −0.563978 | ||||||||
\(819\) | −242.864 | − | 686.922i | −0.296537 | − | 0.838733i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −817.453 | − | 471.956i | −0.995679 | − | 0.574856i | −0.0887121 | − | 0.996057i | \(-0.528275\pi\) |
−0.906967 | + | 0.421202i | \(0.861608\pi\) | |||||||
\(822\) | −632.999 | − | 58.3247i | −0.770071 | − | 0.0709547i | ||||
\(823\) | −1399.27 | + | 807.871i | −1.70021 | + | 0.981617i | −0.754676 | + | 0.656097i | \(0.772206\pi\) |
−0.945535 | + | 0.325520i | \(0.894461\pi\) | |||||||
\(824\) | 252.631 | − | 145.857i | 0.306591 | − | 0.177010i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −110.871 | + | 192.034i | −0.134226 | + | 0.232486i | ||||
\(827\) | 582.354 | 0.704177 | 0.352088 | − | 0.935967i | \(-0.385472\pi\) | ||||
0.352088 | + | 0.935967i | \(0.385472\pi\) | |||||||
\(828\) | −16.8742 | − | 3.13622i | −0.0203795 | − | 0.00378771i | ||||
\(829\) | −877.121 | −1.05805 | −0.529024 | − | 0.848607i | \(-0.677442\pi\) | ||||
−0.529024 | + | 0.848607i | \(0.677442\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −133.512 | + | 61.5095i | −0.160665 | + | 0.0740186i | ||||
\(832\) | −67.1824 | + | 38.7878i | −0.0807480 | + | 0.0466199i | ||||
\(833\) | −195.354 | − | 338.363i | −0.234519 | − | 0.406198i | ||||
\(834\) | −207.056 | + | 292.821i | −0.248268 | + | 0.351104i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | − | 47.0976i | − | 0.0563369i | ||||||
\(837\) | 20.1802 | + | 79.7112i | 0.0241101 | + | 0.0952344i | ||||
\(838\) | − | 764.772i | − | 0.912616i | ||||||
\(839\) | 984.778 | + | 568.562i | 1.17375 | + | 0.677666i | 0.954561 | − | 0.298016i | \(-0.0963247\pi\) |
0.219191 | + | 0.975682i | \(0.429658\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −326.909 | − | 566.223i | −0.388715 | − | 0.673274i | ||||
\(842\) | 200.604 | + | 347.456i | 0.238247 | + | 0.412656i | ||||
\(843\) | −56.2523 | + | 25.9155i | −0.0667287 | + | 0.0307421i | ||||
\(844\) | 51.5607 | − | 89.3058i | 0.0610909 | − | 0.105813i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −374.568 | + | 438.117i | −0.442751 | + | 0.517868i | ||||
\(847\) | 1002.57i | 1.18368i | ||||||||
\(848\) | −188.776 | + | 326.969i | −0.222613 | + | 0.385577i | ||||
\(849\) | 14.7010 | − | 159.550i | 0.0173157 | − | 0.187927i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 38.5607 | − | 22.2630i | 0.0453122 | − | 0.0261610i | ||||
\(852\) | 9.92041 | − | 107.666i | 0.0116437 | − | 0.126369i | ||||
\(853\) | 276.970 | + | 159.909i | 0.324701 | + | 0.187466i | 0.653486 | − | 0.756939i | \(-0.273306\pi\) |
−0.328785 | + | 0.944405i | \(0.606639\pi\) | |||||||
\(854\) | − | 154.557i | − | 0.180980i | ||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −101.939 | −0.119087 | ||||||||
\(857\) | 398.984 | − | 691.061i | 0.465559 | − | 0.806372i | −0.533668 | − | 0.845694i | \(-0.679187\pi\) |
0.999227 | + | 0.0393225i | \(0.0125200\pi\) | |||||||
\(858\) | 16.4143 | + | 35.6288i | 0.0191308 | + | 0.0415254i | ||||
\(859\) | −233.901 | − | 405.128i | −0.272294 | − | 0.471627i | 0.697155 | − | 0.716921i | \(-0.254449\pi\) |
−0.969449 | + | 0.245293i | \(0.921116\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 157.863 | − | 223.252i | 0.183348 | − | 0.259293i | ||||
\(862\) | −315.284 | − | 182.030i | −0.365759 | − | 0.211171i | ||||
\(863\) | 1304.85 | 1.51199 | 0.755994 | − | 0.654578i | \(-0.227154\pi\) | ||||
0.755994 | + | 0.654578i | \(0.227154\pi\) | |||||||
\(864\) | −37.4847 | − | 148.064i | −0.0433851 | − | 0.171370i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 583.312 | + | 336.775i | 0.673571 | + | 0.388886i | ||||
\(867\) | 116.677 | − | 165.006i | 0.134575 | − | 0.190318i | ||||
\(868\) | 44.0365 | − | 25.4245i | 0.0507333 | − | 0.0292909i | ||||
\(869\) | −36.1209 | + | 20.8544i | −0.0415661 | + | 0.0239982i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 363.855 | − | 630.216i | 0.417744 | − | 0.723554i | ||||
\(872\) | −419.378 | −0.480938 | ||||||||
\(873\) | −180.702 | + | 972.257i | −0.206990 | + | 1.11370i | ||||
\(874\) | 33.3031 | 0.0381042 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −4.35409 | + | 47.2549i | −0.00497042 | + | 0.0539440i | ||||
\(877\) | 323.682 | − | 186.878i | 0.369079 | − | 0.213088i | −0.303977 | − | 0.952679i | \(-0.598315\pi\) |
0.673056 | + | 0.739592i | \(0.264981\pi\) | |||||||
\(878\) | 394.469 | + | 683.240i | 0.449281 | + | 0.778177i | ||||
\(879\) | −44.5829 | − | 4.10789i | −0.0507200 | − | 0.00467336i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 229.979i | 0.261043i | 0.991445 | + | 0.130522i | \(0.0416652\pi\) | ||||
−0.991445 | + | 0.130522i | \(0.958335\pi\) | |||||||
\(882\) | −87.8097 | − | 248.363i | −0.0995575 | − | 0.281591i | ||||
\(883\) | − | 1381.79i | − | 1.56488i | −0.622728 | − | 0.782439i | \(-0.713976\pi\) | ||
0.622728 | − | 0.782439i | \(-0.286024\pi\) | |||||||
\(884\) | −317.060 | − | 183.055i | −0.358665 | − | 0.207076i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 588.204 | + | 1018.80i | 0.663888 | + | 1.14989i | ||||
\(887\) | −438.090 | − | 758.794i | −0.493901 | − | 0.855461i | 0.506075 | − | 0.862490i | \(-0.331096\pi\) |
−0.999975 | + | 0.00702852i | \(0.997763\pi\) | |||||||
\(888\) | 323.526 | + | 228.767i | 0.364331 | + | 0.257621i | ||||
\(889\) | 325.969 | − | 564.596i | 0.366670 | − | 0.635091i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −76.2957 | + | 12.0055i | −0.0856293 | + | 0.0134742i | ||||
\(892\) | 626.454i | 0.702303i | ||||||||
\(893\) | 559.224 | − | 968.605i | 0.626231 | − | 1.08466i | ||||
\(894\) | 400.120 | + | 282.928i | 0.447562 | + | 0.316474i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −81.7980 | + | 47.2261i | −0.0912924 | + | 0.0527077i | ||||
\(897\) | −25.1934 | + | 11.6066i | −0.0280863 | + | 0.0129394i | ||||
\(898\) | −893.974 | − | 516.136i | −0.995517 | − | 0.574762i | ||||
\(899\) | 41.6655i | 0.0463465i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1781.82 | −1.97760 | ||||||||
\(902\) | −7.36077 | + | 12.7492i | −0.00816050 | + | 0.0141344i | ||||
\(903\) | 1123.42 | + | 103.512i | 1.24410 | + | 0.114632i | ||||
\(904\) | 241.955 | + | 419.078i | 0.267649 | + | 0.463581i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −273.649 | − | 25.2141i | −0.302041 | − | 0.0278302i | ||||
\(907\) | 1021.97 | + | 590.037i | 1.12676 | + | 0.650537i | 0.943119 | − | 0.332456i | \(-0.107877\pi\) |
0.183644 | + | 0.982993i | \(0.441211\pi\) | |||||||
\(908\) | 152.542 | 0.167998 | ||||||||
\(909\) | 242.637 | − | 1305.49i | 0.266928 | − | 1.43619i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1100.13 | + | 635.158i | 1.20760 | + | 0.697210i | 0.962235 | − | 0.272220i | \(-0.0877578\pi\) |
0.245368 | + | 0.969430i | \(0.421091\pi\) | |||||||
\(912\) | 124.008 | + | 269.171i | 0.135973 | + | 0.295144i | ||||
\(913\) | 107.624 | − | 62.1367i | 0.117880 | − | 0.0680578i | ||||
\(914\) | 869.123 | − | 501.788i | 0.950900 | − | 0.549002i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −121.545 | + | 210.522i | −0.132691 | + | 0.229827i | ||||
\(917\) | −1954.07 | −2.13093 | ||||||||
\(918\) | 516.702 | − | 502.590i | 0.562856 | − | 0.547484i | ||||
\(919\) | −1316.63 | −1.43268 | −0.716340 | − | 0.697751i | \(-0.754184\pi\) | ||||
−0.716340 | + | 0.697751i | \(0.754184\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −161.444 | − | 114.158i | −0.175292 | − | 0.123950i | ||||
\(922\) | −11.2711 | + | 6.50740i | −0.0122247 | + | 0.00705791i | ||||
\(923\) | −87.3713 | − | 151.332i | −0.0946602 | − | 0.163956i | ||||
\(924\) | 19.9852 | + | 43.3799i | 0.0216290 | + | 0.0469480i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 78.0610i | 0.0842991i | ||||||||
\(927\) | 705.526 | + | 603.189i | 0.761085 | + | 0.650689i | ||||
\(928\) | − | 77.3939i | − | 0.0833986i | ||||||
\(929\) | −543.424 | − | 313.746i | −0.584956 | − | 0.337724i | 0.178145 | − | 0.984004i | \(-0.442991\pi\) |
−0.763100 | + | 0.646280i | \(0.776324\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 255.576 | + | 442.670i | 0.274517 | + | 0.475478i | ||||
\(932\) | −151.021 | − | 261.576i | −0.162039 | − | 0.280660i | ||||
\(933\) | −68.8623 | + | 747.363i | −0.0738074 | + | 0.801032i | ||||
\(934\) | −442.515 | + | 766.459i | −0.473785 | + | 0.820620i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −187.621 | − | 160.406i | −0.200450 | − | 0.171374i | ||||
\(937\) | − | 469.789i | − | 0.501375i | −0.968068 | − | 0.250688i | \(-0.919343\pi\) | ||
0.968068 | − | 0.250688i | \(-0.0806567\pi\) | |||||||
\(938\) | 443.012 | − | 767.320i | 0.472295 | − | 0.818039i | ||||
\(939\) | 1161.81 | − | 535.250i | 1.23729 | − | 0.570021i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 805.984 | − | 465.335i | 0.856518 | − | 0.494511i | −0.00632656 | − | 0.999980i | \(-0.502014\pi\) |
0.862845 | + | 0.505469i | \(0.168680\pi\) | |||||||
\(942\) | −72.1169 | − | 50.9944i | −0.0765573 | − | 0.0541342i | ||||
\(943\) | −9.01506 | − | 5.20485i | −0.00955998 | − | 0.00551946i | ||||
\(944\) | 75.1250i | 0.0795816i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −60.7423 | −0.0642097 | ||||||||
\(947\) | −1.81556 | + | 3.14465i | −0.00191717 | + | 0.00332064i | −0.866982 | − | 0.498339i | \(-0.833944\pi\) |
0.865065 | + | 0.501659i | \(0.167277\pi\) | |||||||
\(948\) | 151.528 | − | 214.293i | 0.159840 | − | 0.226047i | ||||
\(949\) | 38.3474 | + | 66.4197i | 0.0404083 | + | 0.0699892i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 582.431 | + | 1264.23i | 0.612440 | + | 1.32936i | ||||
\(952\) | −386.037 | − | 222.879i | −0.405501 | − | 0.234116i | ||||
\(953\) | 719.641 | 0.755132 | 0.377566 | − | 0.925983i | \(-0.376761\pi\) | ||||
0.377566 | + | 0.925983i | \(0.376761\pi\) | |||||||
\(954\) | −1181.14 | − | 219.524i | −1.23809 | − | 0.230109i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −151.924 | − | 87.7133i | −0.158916 | − | 0.0917504i | ||||
\(957\) | −38.9711 | − | 3.59082i | −0.0407222 | − | 0.00375216i | ||||
\(958\) | −378.806 | + | 218.704i | −0.395413 | + | 0.228292i | ||||
\(959\) | −1083.28 | + | 625.431i | −1.12959 | + | 0.652170i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 475.863 | − | 824.218i | 0.495175 | − | 0.857667i | ||||
\(962\) | 640.380 | 0.665676 | ||||||||
\(963\) | −108.122 | − | 305.816i | −0.112277 | − | 0.317566i | ||||
\(964\) | 403.576 | 0.418647 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −30.6742 | + | 14.1317i | −0.0317539 | + | 0.0146291i | ||||
\(967\) | −29.2491 | + | 16.8870i | −0.0302473 | + | 0.0174633i | −0.515047 | − | 0.857162i | \(-0.672226\pi\) |
0.484800 | + | 0.874625i | \(0.338892\pi\) | |||||||
\(968\) | 169.834 | + | 294.161i | 0.175448 | + | 0.303886i | ||||
\(969\) | −807.514 | + | 1142.00i | −0.833348 | + | 1.17853i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 970.472i | 0.999456i | 0.866182 | + | 0.499728i | \(0.166567\pi\) | ||||
−0.866182 | + | 0.499728i | \(0.833433\pi\) | |||||||
\(972\) | 404.433 | − | 269.499i | 0.416083 | − | 0.277263i | ||||
\(973\) | 705.697i | 0.725279i | ||||||||
\(974\) | 34.7015 | + | 20.0349i | 0.0356278 | + | 0.0205697i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −26.1816 | − | 45.3479i | −0.0268254 | − | 0.0464630i | ||||
\(977\) | 785.151 | + | 1359.92i | 0.803635 | + | 1.39194i | 0.917209 | + | 0.398406i | \(0.130437\pi\) |
−0.113574 | + | 0.993529i | \(0.536230\pi\) | |||||||
\(978\) | 512.730 | − | 236.216i | 0.524264 | − | 0.241529i | ||||
\(979\) | 69.2724 | − | 119.983i | 0.0707584 | − | 0.122557i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −444.817 | − | 1258.13i | −0.453433 | − | 1.28250i | ||||
\(982\) | − | 1343.07i | − | 1.36769i | ||||||
\(983\) | 387.939 | − | 671.930i | 0.394648 | − | 0.683551i | −0.598408 | − | 0.801192i | \(-0.704200\pi\) |
0.993056 | + | 0.117641i | \(0.0375331\pi\) | |||||||
\(984\) | 8.49948 | − | 92.2450i | 0.00863769 | − | 0.0937449i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 316.318 | − | 182.626i | 0.320809 | − | 0.185219i | ||||
\(987\) | −104.068 | + | 1129.45i | −0.105438 | + | 1.14432i | ||||
\(988\) | 414.800 | + | 239.485i | 0.419838 | + | 0.242393i | ||||
\(989\) | − | 42.9513i | − | 0.0434290i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 870.454 | 0.878359 | 0.439180 | − | 0.898399i | \(-0.355269\pi\) | ||||
0.439180 | + | 0.898399i | \(0.355269\pi\) | |||||||
\(992\) | 8.61371 | − | 14.9194i | 0.00868318 | − | 0.0150397i | ||||
\(993\) | 593.507 | + | 1288.27i | 0.597690 | + | 1.29735i | ||||
\(994\) | −106.379 | − | 184.254i | −0.107021 | − | 0.185366i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −451.485 | + | 638.496i | −0.453298 | + | 0.641060i | ||||
\(997\) | 1078.20 | + | 622.499i | 1.08144 | + | 0.624372i | 0.931286 | − | 0.364290i | \(-0.118688\pi\) |
0.150159 | + | 0.988662i | \(0.452022\pi\) | |||||||
\(998\) | −792.279 | −0.793867 | ||||||||
\(999\) | −343.151 | + | 1213.22i | −0.343495 | + | 1.21444i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))