Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(32,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.32");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bf (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 32.9 | ||
Character | \(\chi\) | \(=\) | 525.32 |
Dual form | 525.2.bf.f.443.9 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.26950 | + | 0.340162i | 0.897673 | + | 0.240531i | 0.678017 | − | 0.735046i | \(-0.262840\pi\) |
0.219656 | + | 0.975577i | \(0.429506\pi\) | |||||||
\(3\) | 1.59946 | − | 0.664627i | 0.923448 | − | 0.383723i | ||||
\(4\) | −0.236127 | − | 0.136328i | −0.118063 | − | 0.0681639i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 2.25660 | − | 0.299670i | 0.921252 | − | 0.122340i | ||||
\(7\) | −1.25943 | − | 2.32676i | −0.476021 | − | 0.879434i | ||||
\(8\) | −2.11207 | − | 2.11207i | −0.746729 | − | 0.746729i | ||||
\(9\) | 2.11654 | − | 2.12609i | 0.705514 | − | 0.708696i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.38224 | + | 1.95274i | 1.01978 | + | 0.588773i | 0.914041 | − | 0.405621i | \(-0.132945\pi\) |
0.105743 | + | 0.994394i | \(0.466278\pi\) | |||||||
\(12\) | −0.468282 | − | 0.0611145i | −0.135181 | − | 0.0176422i | ||||
\(13\) | 1.56642 | − | 1.56642i | 0.434448 | − | 0.434448i | −0.455691 | − | 0.890138i | \(-0.650608\pi\) |
0.890138 | + | 0.455691i | \(0.150608\pi\) | |||||||
\(14\) | −0.807377 | − | 3.38224i | −0.215781 | − | 0.903942i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.69017 | − | 2.92747i | −0.422544 | − | 0.731867i | ||||
\(17\) | 0.693065 | + | 2.58656i | 0.168093 | + | 0.627332i | 0.997625 | + | 0.0688731i | \(0.0219404\pi\) |
−0.829532 | + | 0.558459i | \(0.811393\pi\) | |||||||
\(18\) | 3.41017 | − | 1.97911i | 0.803784 | − | 0.466480i | ||||
\(19\) | 1.61097 | − | 0.930096i | 0.369582 | − | 0.213379i | −0.303694 | − | 0.952770i | \(-0.598220\pi\) |
0.673276 | + | 0.739391i | \(0.264887\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.56084 | − | 2.88451i | −0.777040 | − | 0.629451i | ||||
\(22\) | 3.62951 | + | 3.62951i | 0.773815 | + | 0.773815i | ||||
\(23\) | 0.638564 | − | 2.38315i | 0.133150 | − | 0.496921i | −0.866849 | − | 0.498571i | \(-0.833858\pi\) |
0.999999 | + | 0.00164943i | \(0.000525031\pi\) | |||||||
\(24\) | −4.78191 | − | 1.97443i | −0.976103 | − | 0.403029i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.52141 | − | 1.45574i | 0.494490 | − | 0.285494i | ||||
\(27\) | 1.97227 | − | 4.80730i | 0.379563 | − | 0.925166i | ||||
\(28\) | −0.0198165 | + | 0.721106i | −0.00374496 | + | 0.136276i | ||||
\(29\) | −0.513153 | −0.0952901 | −0.0476450 | − | 0.998864i | \(-0.515172\pi\) | ||||
−0.0476450 | + | 0.998864i | \(0.515172\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.29138 | + | 7.43289i | −0.770755 | + | 1.33499i | 0.166394 | + | 0.986059i | \(0.446788\pi\) |
−0.937150 | + | 0.348928i | \(0.886546\pi\) | |||||||
\(32\) | 0.396276 | + | 1.47892i | 0.0700524 | + | 0.261439i | ||||
\(33\) | 6.70760 | + | 0.875396i | 1.16764 | + | 0.152387i | ||||
\(34\) | 3.51939i | 0.603570i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.789616 | + | 0.213483i | −0.131603 | + | 0.0355804i | ||||
\(37\) | −1.77034 | + | 6.60698i | −0.291041 | + | 1.08618i | 0.653269 | + | 0.757126i | \(0.273397\pi\) |
−0.944311 | + | 0.329056i | \(0.893270\pi\) | |||||||
\(38\) | 2.36152 | − | 0.632766i | 0.383088 | − | 0.102648i | ||||
\(39\) | 1.46434 | − | 3.54652i | 0.234483 | − | 0.567897i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 0.308469i | − | 0.0481748i | −0.999710 | − | 0.0240874i | \(-0.992332\pi\) | ||
0.999710 | − | 0.0240874i | \(-0.00766800\pi\) | |||||||
\(42\) | −3.53930 | − | 4.87315i | −0.546125 | − | 0.751944i | ||||
\(43\) | −7.60892 | + | 7.60892i | −1.16035 | + | 1.16035i | −0.175950 | + | 0.984399i | \(0.556300\pi\) |
−0.984399 | + | 0.175950i | \(0.943700\pi\) | |||||||
\(44\) | −0.532425 | − | 0.922186i | −0.0802660 | − | 0.139025i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.62131 | − | 2.80820i | 0.239050 | − | 0.414046i | ||||
\(47\) | 5.10994 | + | 1.36920i | 0.745361 | + | 0.199719i | 0.611460 | − | 0.791276i | \(-0.290583\pi\) |
0.133902 | + | 0.990995i | \(0.457249\pi\) | |||||||
\(48\) | −4.64904 | − | 3.55903i | −0.671031 | − | 0.513702i | ||||
\(49\) | −3.82765 | + | 5.86081i | −0.546807 | + | 0.837258i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.82762 | + | 3.67646i | 0.395947 | + | 0.514807i | ||||
\(52\) | −0.583421 | + | 0.156327i | −0.0809059 | + | 0.0216787i | ||||
\(53\) | −1.85953 | + | 0.498259i | −0.255426 | + | 0.0684411i | −0.384260 | − | 0.923225i | \(-0.625543\pi\) |
0.128834 | + | 0.991666i | \(0.458877\pi\) | |||||||
\(54\) | 4.13906 | − | 5.43199i | 0.563254 | − | 0.739200i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −2.25427 | + | 7.57430i | −0.301240 | + | 1.01216i | ||||
\(57\) | 1.95852 | − | 2.55835i | 0.259412 | − | 0.338861i | ||||
\(58\) | −0.651448 | − | 0.174555i | −0.0855393 | − | 0.0229202i | ||||
\(59\) | −0.259114 | + | 0.448799i | −0.0337338 | + | 0.0584287i | −0.882399 | − | 0.470501i | \(-0.844073\pi\) |
0.848666 | + | 0.528930i | \(0.177407\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.55451 | − | 4.42454i | −0.327071 | − | 0.566504i | 0.654858 | − | 0.755752i | \(-0.272728\pi\) |
−0.981929 | + | 0.189248i | \(0.939395\pi\) | |||||||
\(62\) | −7.97631 | + | 7.97631i | −1.01299 | + | 1.01299i | ||||
\(63\) | −7.61255 | − | 2.24702i | −0.959091 | − | 0.283098i | ||||
\(64\) | 8.77299i | 1.09662i | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 8.21753 | + | 3.39299i | 1.01151 | + | 0.417648i | ||||
\(67\) | 8.74539 | − | 2.34332i | 1.06842 | − | 0.286282i | 0.318576 | − | 0.947897i | \(-0.396795\pi\) |
0.749844 | + | 0.661615i | \(0.230129\pi\) | |||||||
\(68\) | 0.188968 | − | 0.705238i | 0.0229157 | − | 0.0855227i | ||||
\(69\) | −0.562551 | − | 4.23616i | −0.0677232 | − | 0.509974i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 15.3749i | − | 1.82467i | −0.409448 | − | 0.912333i | \(-0.634279\pi\) | ||
0.409448 | − | 0.912333i | \(-0.365721\pi\) | |||||||
\(72\) | −8.96073 | + | 0.0201641i | −1.05603 | + | 0.00237637i | ||||
\(73\) | 0.749913 | + | 2.79871i | 0.0877707 | + | 0.327565i | 0.995824 | − | 0.0912890i | \(-0.0290987\pi\) |
−0.908054 | + | 0.418854i | \(0.862432\pi\) | |||||||
\(74\) | −4.49489 | + | 7.78538i | −0.522520 | + | 0.905032i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.507191 | −0.0581788 | ||||||||
\(77\) | 0.283848 | − | 10.3290i | 0.0323475 | − | 1.17710i | ||||
\(78\) | 3.06538 | − | 4.00420i | 0.347086 | − | 0.453386i | ||||
\(79\) | −4.37551 | + | 2.52620i | −0.492284 | + | 0.284220i | −0.725521 | − | 0.688200i | \(-0.758401\pi\) |
0.233238 | + | 0.972420i | \(0.425068\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.0405048 | − | 8.99991i | −0.00450054 | − | 0.999990i | ||||
\(82\) | 0.104930 | − | 0.391602i | 0.0115875 | − | 0.0432452i | ||||
\(83\) | 9.16088 | + | 9.16088i | 1.00554 | + | 1.00554i | 0.999985 | + | 0.00555287i | \(0.00176754\pi\) |
0.00555287 | + | 0.999985i | \(0.498232\pi\) | |||||||
\(84\) | 0.447571 | + | 1.16655i | 0.0488340 | + | 0.127281i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −12.2478 | + | 7.07127i | −1.32071 | + | 0.762515i | ||||
\(87\) | −0.820767 | + | 0.341055i | −0.0879955 | + | 0.0365650i | ||||
\(88\) | −3.01921 | − | 11.2678i | −0.321849 | − | 1.20116i | ||||
\(89\) | 5.67519 | + | 9.82972i | 0.601569 | + | 1.04195i | 0.992584 | + | 0.121564i | \(0.0387910\pi\) |
−0.391014 | + | 0.920385i | \(0.627876\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.61750 | − | 1.67189i | −0.588874 | − | 0.175262i | ||||
\(92\) | −0.475671 | + | 0.475671i | −0.0495922 | + | 0.0495922i | ||||
\(93\) | −1.92379 | + | 14.7408i | −0.199488 | + | 1.52855i | ||||
\(94\) | 6.02133 | + | 3.47641i | 0.621052 | + | 0.358565i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.61676 | + | 2.10210i | 0.165010 | + | 0.214545i | ||||
\(97\) | 6.81964 | + | 6.81964i | 0.692430 | + | 0.692430i | 0.962766 | − | 0.270336i | \(-0.0871349\pi\) |
−0.270336 | + | 0.962766i | \(0.587135\pi\) | |||||||
\(98\) | −6.85283 | + | 6.13829i | −0.692241 | + | 0.620060i | ||||
\(99\) | 11.3103 | − | 3.05789i | 1.13673 | − | 0.307330i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.95893 | + | 2.28569i | 0.393928 | + | 0.227434i | 0.683861 | − | 0.729613i | \(-0.260300\pi\) |
−0.289933 | + | 0.957047i | \(0.593633\pi\) | |||||||
\(102\) | 2.33908 | + | 5.62912i | 0.231604 | + | 0.557366i | ||||
\(103\) | 9.79345 | + | 2.62415i | 0.964978 | + | 0.258565i | 0.706706 | − | 0.707507i | \(-0.250180\pi\) |
0.258272 | + | 0.966072i | \(0.416847\pi\) | |||||||
\(104\) | −6.61679 | −0.648829 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.53016 | −0.245751 | ||||||||
\(107\) | −1.70748 | − | 0.457517i | −0.165068 | − | 0.0442299i | 0.175338 | − | 0.984508i | \(-0.443898\pi\) |
−0.340407 | + | 0.940278i | \(0.610565\pi\) | |||||||
\(108\) | −1.12107 | + | 0.866257i | −0.107875 | + | 0.0833556i | ||||
\(109\) | −4.65588 | − | 2.68808i | −0.445953 | − | 0.257471i | 0.260167 | − | 0.965564i | \(-0.416222\pi\) |
−0.706119 | + | 0.708093i | \(0.749556\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.55960 | + | 11.7442i | 0.148031 | + | 1.11471i | ||||
\(112\) | −4.68286 | + | 7.61959i | −0.442489 | + | 0.719983i | ||||
\(113\) | −7.83259 | − | 7.83259i | −0.736828 | − | 0.736828i | 0.235134 | − | 0.971963i | \(-0.424447\pi\) |
−0.971963 | + | 0.235134i | \(0.924447\pi\) | |||||||
\(114\) | 3.35660 | − | 2.58161i | 0.314374 | − | 0.241790i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0.121169 | + | 0.0699569i | 0.0112503 | + | 0.00649534i | ||||
\(117\) | −0.0149548 | − | 6.64575i | −0.00138257 | − | 0.614400i | ||||
\(118\) | −0.481611 | + | 0.481611i | −0.0443358 | + | 0.0443358i | ||||
\(119\) | 5.14543 | − | 4.87019i | 0.471681 | − | 0.446450i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.12637 | + | 3.68298i | 0.193306 | + | 0.334816i | ||||
\(122\) | −1.73789 | − | 6.48590i | −0.157341 | − | 0.587206i | ||||
\(123\) | −0.205017 | − | 0.493384i | −0.0184858 | − | 0.0444869i | ||||
\(124\) | 2.02662 | − | 1.17007i | 0.181996 | − | 0.105075i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −8.89979 | − | 5.44210i | −0.792856 | − | 0.484821i | ||||
\(127\) | −8.12393 | − | 8.12393i | −0.720883 | − | 0.720883i | 0.247902 | − | 0.968785i | \(-0.420259\pi\) |
−0.968785 | + | 0.247902i | \(0.920259\pi\) | |||||||
\(128\) | −2.19168 | + | 8.17948i | −0.193719 | + | 0.722971i | ||||
\(129\) | −7.11306 | + | 17.2273i | −0.626270 | + | 1.51678i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.80678 | − | 2.19784i | 0.332600 | − | 0.192027i | −0.324395 | − | 0.945922i | \(-0.605161\pi\) |
0.656995 | + | 0.753895i | \(0.271827\pi\) | |||||||
\(132\) | −1.46450 | − | 1.12114i | −0.127468 | − | 0.0975823i | ||||
\(133\) | −4.19303 | − | 2.57696i | −0.363581 | − | 0.223451i | ||||
\(134\) | 11.8994 | 1.02795 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.99918 | − | 6.92678i | 0.342927 | − | 0.593967i | ||||
\(137\) | −1.72207 | − | 6.42684i | −0.147126 | − | 0.549082i | −0.999652 | − | 0.0263963i | \(-0.991597\pi\) |
0.852526 | − | 0.522686i | \(-0.175070\pi\) | |||||||
\(138\) | 0.726822 | − | 5.56917i | 0.0618712 | − | 0.474079i | ||||
\(139\) | − | 12.3455i | − | 1.04713i | −0.851987 | − | 0.523564i | \(-0.824602\pi\) | ||
0.851987 | − | 0.523564i | \(-0.175398\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 9.08315 | − | 1.20622i | 0.764939 | − | 0.101582i | ||||
\(142\) | 5.22996 | − | 19.5185i | 0.438889 | − | 1.63795i | ||||
\(143\) | 8.35683 | − | 2.23921i | 0.698834 | − | 0.187252i | ||||
\(144\) | −9.80138 | − | 2.60265i | −0.816782 | − | 0.216887i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 3.80806i | 0.315158i | ||||||||
\(147\) | −2.22692 | + | 11.9181i | −0.183673 | + | 0.982987i | ||||
\(148\) | 1.31874 | − | 1.31874i | 0.108400 | − | 0.108400i | ||||
\(149\) | −4.91632 | − | 8.51531i | −0.402761 | − | 0.697602i | 0.591297 | − | 0.806454i | \(-0.298616\pi\) |
−0.994058 | + | 0.108852i | \(0.965283\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.565526 | + | 0.979520i | −0.0460219 | + | 0.0797122i | −0.888119 | − | 0.459614i | \(-0.847988\pi\) |
0.842097 | + | 0.539326i | \(0.181321\pi\) | |||||||
\(152\) | −5.36691 | − | 1.43806i | −0.435314 | − | 0.116642i | ||||
\(153\) | 6.96615 | + | 4.00103i | 0.563180 | + | 0.323464i | ||||
\(154\) | 3.87388 | − | 13.0162i | 0.312167 | − | 1.04887i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.829259 | + | 0.637796i | −0.0663938 | + | 0.0510646i | ||||
\(157\) | −18.0804 | + | 4.84463i | −1.44297 | + | 0.386643i | −0.893574 | − | 0.448916i | \(-0.851810\pi\) |
−0.549399 | + | 0.835560i | \(0.685143\pi\) | |||||||
\(158\) | −6.41404 | + | 1.71864i | −0.510274 | + | 0.136727i | ||||
\(159\) | −2.64308 | + | 2.03284i | −0.209610 | + | 0.161214i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −6.34926 | + | 1.51564i | −0.500392 | + | 0.119449i | ||||
\(162\) | 3.01001 | − | 11.4392i | 0.236488 | − | 0.898747i | ||||
\(163\) | −12.5828 | − | 3.37156i | −0.985564 | − | 0.264081i | −0.270178 | − | 0.962810i | \(-0.587083\pi\) |
−0.715386 | + | 0.698729i | \(0.753749\pi\) | |||||||
\(164\) | −0.0420529 | + | 0.0728378i | −0.00328378 | + | 0.00568767i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.51357 | + | 14.7459i | 0.660781 | + | 1.14451i | ||||
\(167\) | 2.44412 | − | 2.44412i | 0.189132 | − | 0.189132i | −0.606189 | − | 0.795321i | \(-0.707302\pi\) |
0.795321 | + | 0.606189i | \(0.207302\pi\) | |||||||
\(168\) | 1.42847 | + | 13.6130i | 0.110208 | + | 1.05027i | ||||
\(169\) | 8.09264i | 0.622510i | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.43223 | − | 5.39366i | 0.109525 | − | 0.412463i | ||||
\(172\) | 2.83397 | − | 0.759361i | 0.216089 | − | 0.0579007i | ||||
\(173\) | −2.47294 | + | 9.22913i | −0.188014 | + | 0.701678i | 0.805951 | + | 0.591982i | \(0.201654\pi\) |
−0.993965 | + | 0.109696i | \(0.965012\pi\) | |||||||
\(174\) | −1.15798 | + | 0.153776i | −0.0877862 | + | 0.0116578i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 13.2019i | − | 0.995128i | ||||||
\(177\) | −0.116159 | + | 0.890051i | −0.00873103 | + | 0.0669003i | ||||
\(178\) | 3.86097 | + | 14.4093i | 0.289392 | + | 1.08003i | ||||
\(179\) | 5.39030 | − | 9.33627i | 0.402890 | − | 0.697826i | −0.591183 | − | 0.806537i | \(-0.701339\pi\) |
0.994073 | + | 0.108711i | \(0.0346724\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.86639 | −0.213057 | −0.106529 | − | 0.994310i | \(-0.533974\pi\) | ||||
−0.106529 | + | 0.994310i | \(0.533974\pi\) | |||||||
\(182\) | −6.56272 | − | 4.03333i | −0.486461 | − | 0.298970i | ||||
\(183\) | −7.02650 | − | 5.37907i | −0.519414 | − | 0.397633i | ||||
\(184\) | −6.38207 | + | 3.68469i | −0.470492 | + | 0.271639i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −7.45651 | + | 18.0591i | −0.546738 | + | 1.32415i | ||||
\(187\) | −2.70675 | + | 10.1017i | −0.197937 | + | 0.738711i | ||||
\(188\) | −1.01993 | − | 1.01993i | −0.0743862 | − | 0.0743862i | ||||
\(189\) | −13.6694 | + | 1.46549i | −0.994302 | + | 0.106598i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −12.1299 | + | 7.00322i | −0.877692 | + | 0.506736i | −0.869897 | − | 0.493234i | \(-0.835815\pi\) |
−0.00779509 | + | 0.999970i | \(0.502481\pi\) | |||||||
\(192\) | 5.83077 | + | 14.0320i | 0.420799 | + | 1.01268i | ||||
\(193\) | 2.46122 | + | 9.18541i | 0.177163 | + | 0.661180i | 0.996173 | + | 0.0874017i | \(0.0278564\pi\) |
−0.819010 | + | 0.573779i | \(0.805477\pi\) | |||||||
\(194\) | 6.33776 | + | 10.9773i | 0.455025 | + | 0.788126i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.70280 | − | 0.862077i | 0.121629 | − | 0.0615770i | ||||
\(197\) | 5.29206 | − | 5.29206i | 0.377044 | − | 0.377044i | −0.492991 | − | 0.870035i | \(-0.664096\pi\) |
0.870035 | + | 0.492991i | \(0.164096\pi\) | |||||||
\(198\) | 15.3987 | − | 0.0346513i | 1.09434 | − | 0.00246256i | ||||
\(199\) | 8.93994 | + | 5.16148i | 0.633736 | + | 0.365888i | 0.782197 | − | 0.623031i | \(-0.214099\pi\) |
−0.148462 | + | 0.988918i | \(0.547432\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 12.4305 | − | 9.56047i | 0.876778 | − | 0.674344i | ||||
\(202\) | 4.24836 | + | 4.24836i | 0.298914 | + | 0.298914i | ||||
\(203\) | 0.646282 | + | 1.19398i | 0.0453601 | + | 0.0838013i | ||||
\(204\) | −0.166474 | − | 1.25359i | −0.0116555 | − | 0.0877691i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 11.5402 | + | 6.66272i | 0.804042 | + | 0.464214i | ||||
\(207\) | −3.71524 | − | 6.40168i | −0.258227 | − | 0.444948i | ||||
\(208\) | −7.23318 | − | 1.93813i | −0.501531 | − | 0.134385i | ||||
\(209\) | 7.26493 | 0.502526 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.34600 | −0.299191 | −0.149596 | − | 0.988747i | \(-0.547797\pi\) | ||||
−0.149596 | + | 0.988747i | \(0.547797\pi\) | |||||||
\(212\) | 0.507010 | + | 0.135853i | 0.0348216 | + | 0.00933042i | ||||
\(213\) | −10.2186 | − | 24.5916i | −0.700166 | − | 1.68499i | ||||
\(214\) | −2.01202 | − | 1.16164i | −0.137539 | − | 0.0794079i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −14.3189 | + | 5.98779i | −0.974279 | + | 0.407418i | ||||
\(217\) | 22.6993 | + | 0.623792i | 1.54093 | + | 0.0423458i | ||||
\(218\) | −4.99627 | − | 4.99627i | −0.338390 | − | 0.338390i | ||||
\(219\) | 3.05956 | + | 3.97802i | 0.206746 | + | 0.268809i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 5.13727 | + | 2.96601i | 0.345570 | + | 0.199515i | ||||
\(222\) | −2.01502 | + | 15.4398i | −0.135239 | + | 1.03625i | ||||
\(223\) | 11.5568 | − | 11.5568i | 0.773903 | − | 0.773903i | −0.204883 | − | 0.978786i | \(-0.565682\pi\) |
0.978786 | + | 0.204883i | \(0.0656815\pi\) | |||||||
\(224\) | 2.94202 | − | 2.78464i | 0.196572 | − | 0.186057i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −7.27914 | − | 12.6078i | −0.484201 | − | 0.838661i | ||||
\(227\) | 3.68303 | + | 13.7452i | 0.244451 | + | 0.912304i | 0.973658 | + | 0.228011i | \(0.0732223\pi\) |
−0.729207 | + | 0.684293i | \(0.760111\pi\) | |||||||
\(228\) | −0.811232 | + | 0.337093i | −0.0537251 | + | 0.0223245i | ||||
\(229\) | −15.5725 | + | 8.99081i | −1.02906 | + | 0.594129i | −0.916716 | − | 0.399540i | \(-0.869170\pi\) |
−0.112346 | + | 0.993669i | \(0.535837\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −6.41094 | − | 16.7095i | −0.421809 | − | 1.09940i | ||||
\(232\) | 1.08381 | + | 1.08381i | 0.0711559 | + | 0.0711559i | ||||
\(233\) | 2.99490 | − | 11.1771i | 0.196203 | − | 0.732239i | −0.795750 | − | 0.605626i | \(-0.792923\pi\) |
0.991952 | − | 0.126613i | \(-0.0404105\pi\) | |||||||
\(234\) | 2.24165 | − | 8.44188i | 0.146541 | − | 0.551863i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0.122368 | − | 0.0706489i | 0.00796545 | − | 0.00459885i | ||||
\(237\) | −5.31947 | + | 6.94865i | −0.345537 | + | 0.451363i | ||||
\(238\) | 8.18879 | − | 4.43244i | 0.530800 | − | 0.287312i | ||||
\(239\) | −24.0516 | −1.55577 | −0.777885 | − | 0.628407i | \(-0.783707\pi\) | ||||
−0.777885 | + | 0.628407i | \(0.783707\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.707286 | + | 1.22506i | −0.0455603 | + | 0.0789127i | −0.887906 | − | 0.460024i | \(-0.847841\pi\) |
0.842346 | + | 0.538937i | \(0.181174\pi\) | |||||||
\(242\) | 1.44662 | + | 5.39886i | 0.0929922 | + | 0.347052i | ||||
\(243\) | −6.04637 | − | 14.3681i | −0.387875 | − | 0.921712i | ||||
\(244\) | 1.39300i | 0.0891778i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.0924390 | − | 0.696091i | −0.00589370 | − | 0.0443811i | ||||
\(247\) | 1.06654 | − | 3.98039i | 0.0678624 | − | 0.253266i | ||||
\(248\) | 24.7625 | − | 6.63509i | 1.57242 | − | 0.421329i | ||||
\(249\) | 20.7410 | + | 8.56389i | 1.31441 | + | 0.542714i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 10.8892i | − | 0.687318i | −0.939094 | − | 0.343659i | \(-0.888334\pi\) | ||
0.939094 | − | 0.343659i | \(-0.111666\pi\) | |||||||
\(252\) | 1.49119 | + | 1.56838i | 0.0939363 | + | 0.0987988i | ||||
\(253\) | 6.81345 | − | 6.81345i | 0.428358 | − | 0.428358i | ||||
\(254\) | −7.54989 | − | 13.0768i | −0.473722 | − | 0.820511i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.20829 | − | 5.55693i | 0.200518 | − | 0.347308i | ||||
\(257\) | 19.1801 | + | 5.13930i | 1.19642 | + | 0.320581i | 0.801422 | − | 0.598100i | \(-0.204077\pi\) |
0.395002 | + | 0.918680i | \(0.370744\pi\) | |||||||
\(258\) | −14.8901 | + | 19.4504i | −0.927017 | + | 1.21093i | ||||
\(259\) | 17.6025 | − | 4.20191i | 1.09377 | − | 0.261094i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.08611 | + | 1.09101i | −0.0672285 | + | 0.0675317i | ||||
\(262\) | 5.58033 | − | 1.49525i | 0.344754 | − | 0.0923766i | ||||
\(263\) | 25.3272 | − | 6.78641i | 1.56174 | − | 0.418468i | 0.628529 | − | 0.777786i | \(-0.283657\pi\) |
0.933215 | + | 0.359318i | \(0.116991\pi\) | |||||||
\(264\) | −12.3180 | − | 16.0158i | −0.758122 | − | 0.985705i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −4.44647 | − | 4.69776i | −0.272631 | − | 0.288038i | ||||
\(267\) | 15.6103 | + | 11.9504i | 0.955337 | + | 0.731350i | ||||
\(268\) | −2.38448 | − | 0.638919i | −0.145655 | − | 0.0390282i | ||||
\(269\) | 0.241071 | − | 0.417547i | 0.0146984 | − | 0.0254583i | −0.858583 | − | 0.512675i | \(-0.828655\pi\) |
0.873281 | + | 0.487217i | \(0.161988\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.96583 | − | 5.13697i | −0.180161 | − | 0.312049i | 0.761774 | − | 0.647843i | \(-0.224329\pi\) |
−0.941935 | + | 0.335794i | \(0.890995\pi\) | |||||||
\(272\) | 6.40065 | − | 6.40065i | 0.388097 | − | 0.388097i | ||||
\(273\) | −10.0962 | + | 1.05943i | −0.611047 | + | 0.0641194i | ||||
\(274\) | − | 8.74466i | − | 0.528284i | ||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.444673 | + | 1.07696i | −0.0267662 | + | 0.0648254i | ||||
\(277\) | −13.0981 | + | 3.50963i | −0.786989 | + | 0.210873i | −0.629864 | − | 0.776706i | \(-0.716889\pi\) |
−0.157125 | + | 0.987579i | \(0.550223\pi\) | |||||||
\(278\) | 4.19945 | − | 15.6726i | 0.251866 | − | 0.939978i | ||||
\(279\) | 6.72010 | + | 24.8559i | 0.402322 | + | 1.48808i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 12.2359i | − | 0.729932i | −0.931021 | − | 0.364966i | \(-0.881081\pi\) | ||
0.931021 | − | 0.364966i | \(-0.118919\pi\) | |||||||
\(282\) | 11.9414 | + | 1.55845i | 0.711099 | + | 0.0928041i | ||||
\(283\) | 5.29737 | + | 19.7700i | 0.314896 | + | 1.17521i | 0.924086 | + | 0.382184i | \(0.124828\pi\) |
−0.609191 | + | 0.793024i | \(0.708506\pi\) | |||||||
\(284\) | −2.09603 | + | 3.63043i | −0.124376 | + | 0.215426i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 11.3707 | 0.672364 | ||||||||
\(287\) | −0.717735 | + | 0.388497i | −0.0423666 | + | 0.0229322i | ||||
\(288\) | 3.98305 | + | 2.28768i | 0.234704 | + | 0.134803i | ||||
\(289\) | 8.51250 | − | 4.91470i | 0.500736 | − | 0.289100i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 15.4403 | + | 6.37522i | 0.905124 | + | 0.373722i | ||||
\(292\) | 0.204468 | − | 0.763084i | 0.0119656 | − | 0.0446561i | ||||
\(293\) | −18.3002 | − | 18.3002i | −1.06911 | − | 1.06911i | −0.997427 | − | 0.0716843i | \(-0.977163\pi\) |
−0.0716843 | − | 0.997427i | \(-0.522837\pi\) | |||||||
\(294\) | −6.88116 | + | 14.3725i | −0.401317 | + | 0.838222i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 17.6935 | − | 10.2153i | 1.02841 | − | 0.593754i | ||||
\(297\) | 16.0581 | − | 12.4081i | 0.931784 | − | 0.719993i | ||||
\(298\) | −3.34469 | − | 12.4825i | −0.193753 | − | 0.723095i | ||||
\(299\) | −2.73276 | − | 4.73328i | −0.158040 | − | 0.273733i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 27.2871 | + | 8.12122i | 1.57280 | + | 0.468099i | ||||
\(302\) | −1.05113 | + | 1.05113i | −0.0604858 | + | 0.0604858i | ||||
\(303\) | 7.85127 | + | 1.02465i | 0.451044 | + | 0.0588649i | ||||
\(304\) | −5.44565 | − | 3.14405i | −0.312329 | − | 0.180323i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 7.48254 | + | 7.44894i | 0.427748 | + | 0.425827i | ||||
\(307\) | −19.2900 | − | 19.2900i | −1.10094 | − | 1.10094i | −0.994298 | − | 0.106640i | \(-0.965991\pi\) |
−0.106640 | − | 0.994298i | \(-0.534009\pi\) | |||||||
\(308\) | −1.47516 | + | 2.40026i | −0.0840548 | + | 0.136767i | ||||
\(309\) | 17.4083 | − | 2.31178i | 0.990324 | − | 0.131512i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 21.9700 | + | 12.6844i | 1.24581 | + | 0.719266i | 0.970270 | − | 0.242025i | \(-0.0778115\pi\) |
0.275536 | + | 0.961291i | \(0.411145\pi\) | |||||||
\(312\) | −10.5833 | + | 4.39770i | −0.599160 | + | 0.248971i | ||||
\(313\) | −23.6594 | − | 6.33953i | −1.33731 | − | 0.358331i | −0.481875 | − | 0.876240i | \(-0.660044\pi\) |
−0.855436 | + | 0.517909i | \(0.826711\pi\) | |||||||
\(314\) | −24.6011 | −1.38832 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.37757 | 0.0774942 | ||||||||
\(317\) | −11.6409 | − | 3.11916i | −0.653815 | − | 0.175189i | −0.0833621 | − | 0.996519i | \(-0.526566\pi\) |
−0.570453 | + | 0.821330i | \(0.693232\pi\) | |||||||
\(318\) | −4.04689 | + | 1.68161i | −0.226938 | + | 0.0943002i | ||||
\(319\) | −1.73561 | − | 1.00205i | −0.0971753 | − | 0.0561042i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −3.03512 | + | 0.403056i | −0.169404 | + | 0.0224964i | ||||
\(322\) | −8.57595 | − | 0.235673i | −0.477919 | − | 0.0131335i | ||||
\(323\) | 3.52225 | + | 3.52225i | 0.195983 | + | 0.195983i | ||||
\(324\) | −1.21737 | + | 2.13064i | −0.0676318 | + | 0.118369i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −14.8271 | − | 8.56041i | −0.821195 | − | 0.474117i | ||||
\(327\) | −9.23346 | − | 1.20504i | −0.510612 | − | 0.0666389i | ||||
\(328\) | −0.651508 | + | 0.651508i | −0.0359735 | + | 0.0359735i | ||||
\(329\) | −3.24982 | − | 13.6140i | −0.179168 | − | 0.750566i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.87405 | + | 8.44210i | 0.267902 | + | 0.464020i | 0.968320 | − | 0.249713i | \(-0.0803364\pi\) |
−0.700418 | + | 0.713733i | \(0.747003\pi\) | |||||||
\(332\) | −0.914245 | − | 3.41201i | −0.0501757 | − | 0.187258i | ||||
\(333\) | 10.3000 | + | 17.7478i | 0.564439 | + | 0.972576i | ||||
\(334\) | 3.93422 | − | 2.27142i | 0.215271 | − | 0.124287i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −2.42586 | + | 15.2996i | −0.132342 | + | 0.834660i | ||||
\(337\) | −10.5951 | − | 10.5951i | −0.577152 | − | 0.577152i | 0.356966 | − | 0.934117i | \(-0.383811\pi\) |
−0.934117 | + | 0.356966i | \(0.883811\pi\) | |||||||
\(338\) | −2.75281 | + | 10.2736i | −0.149733 | + | 0.558811i | ||||
\(339\) | −17.7337 | − | 7.32216i | −0.963161 | − | 0.397685i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −29.0290 | + | 16.7599i | −1.57201 | + | 0.907599i | ||||
\(342\) | 3.65293 | − | 6.36007i | 0.197528 | − | 0.343913i | ||||
\(343\) | 18.4574 | + | 1.52474i | 0.996605 | + | 0.0823280i | ||||
\(344\) | 32.1411 | 1.73293 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.27880 | + | 10.8752i | −0.337550 | + | 0.584654i | ||||
\(347\) | 5.58508 | + | 20.8438i | 0.299823 | + | 1.11895i | 0.937311 | + | 0.348494i | \(0.113307\pi\) |
−0.637488 | + | 0.770460i | \(0.720027\pi\) | |||||||
\(348\) | 0.240300 | + | 0.0313611i | 0.0128814 | + | 0.00168113i | ||||
\(349\) | − | 28.5116i | − | 1.52619i | −0.646287 | − | 0.763094i | \(-0.723679\pi\) | ||
0.646287 | − | 0.763094i | \(-0.276321\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.44087 | − | 10.6197i | −0.237036 | − | 0.566836i | ||||
\(352\) | −1.54765 | + | 5.77589i | −0.0824898 | + | 0.307856i | ||||
\(353\) | −11.8664 | + | 3.17961i | −0.631587 | + | 0.169233i | −0.560390 | − | 0.828229i | \(-0.689349\pi\) |
−0.0711974 | + | 0.997462i | \(0.522682\pi\) | |||||||
\(354\) | −0.450225 | + | 1.09041i | −0.0239292 | + | 0.0579545i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | − | 3.09474i | − | 0.164021i | ||||||
\(357\) | 4.99304 | − | 11.2095i | 0.264260 | − | 0.593268i | ||||
\(358\) | 10.0188 | − | 10.0188i | 0.529512 | − | 0.529512i | ||||
\(359\) | 2.40785 | + | 4.17052i | 0.127081 | + | 0.220112i | 0.922545 | − | 0.385890i | \(-0.126106\pi\) |
−0.795463 | + | 0.606002i | \(0.792772\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.76984 | + | 13.4578i | −0.408939 | + | 0.708303i | ||||
\(362\) | −3.63889 | − | 0.975037i | −0.191256 | − | 0.0512468i | ||||
\(363\) | 5.84885 | + | 4.47753i | 0.306985 | + | 0.235010i | ||||
\(364\) | 1.09852 | + | 1.16060i | 0.0575779 | + | 0.0608319i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −7.09040 | − | 9.21889i | −0.370621 | − | 0.481879i | ||||
\(367\) | 13.8417 | − | 3.70888i | 0.722532 | − | 0.193602i | 0.121231 | − | 0.992624i | \(-0.461316\pi\) |
0.601301 | + | 0.799022i | \(0.294649\pi\) | |||||||
\(368\) | −8.05588 | + | 2.15857i | −0.419942 | + | 0.112523i | ||||
\(369\) | −0.655833 | − | 0.652888i | −0.0341413 | − | 0.0339880i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.50128 | + | 3.69916i | 0.181778 | + | 0.192051i | ||||
\(372\) | 2.46384 | − | 3.21842i | 0.127744 | − | 0.166868i | ||||
\(373\) | −1.12654 | − | 0.301856i | −0.0583301 | − | 0.0156295i | 0.229536 | − | 0.973300i | \(-0.426279\pi\) |
−0.287866 | + | 0.957671i | \(0.592946\pi\) | |||||||
\(374\) | −6.87245 | + | 11.9034i | −0.355366 | + | 0.615512i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.90069 | − | 13.6844i | −0.407447 | − | 0.705719i | ||||
\(377\) | −0.803814 | + | 0.803814i | −0.0413985 | + | 0.0413985i | ||||
\(378\) | −17.8518 | − | 2.78937i | −0.918199 | − | 0.143470i | ||||
\(379\) | − | 24.8744i | − | 1.27771i | −0.769326 | − | 0.638856i | \(-0.779408\pi\) | ||
0.769326 | − | 0.638856i | \(-0.220592\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −18.3933 | − | 7.59452i | −0.942317 | − | 0.389079i | ||||
\(382\) | −17.7812 | + | 4.76446i | −0.909766 | + | 0.243771i | ||||
\(383\) | −0.460280 | + | 1.71779i | −0.0235192 | + | 0.0877749i | −0.976688 | − | 0.214664i | \(-0.931134\pi\) |
0.953169 | + | 0.302439i | \(0.0978009\pi\) | |||||||
\(384\) | 1.93079 | + | 14.5394i | 0.0985304 | + | 0.741961i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 12.4981i | 0.636137i | ||||||||
\(387\) | 0.0726432 | + | 32.2818i | 0.00369266 | + | 1.64098i | ||||
\(388\) | −0.680592 | − | 2.54000i | −0.0345518 | − | 0.128949i | ||||
\(389\) | −12.9155 | + | 22.3704i | −0.654843 | + | 1.13422i | 0.327090 | + | 0.944993i | \(0.393932\pi\) |
−0.981933 | + | 0.189229i | \(0.939401\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.60672 | 0.334116 | ||||||||
\(392\) | 20.4627 | − | 4.29417i | 1.03352 | − | 0.216888i | ||||
\(393\) | 4.62804 | − | 6.04545i | 0.233454 | − | 0.304953i | ||||
\(394\) | 8.51844 | − | 4.91812i | 0.429153 | − | 0.247772i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −3.08755 | − | 0.819864i | −0.155155 | − | 0.0411997i | ||||
\(397\) | 6.15207 | − | 22.9598i | 0.308763 | − | 1.15232i | −0.620894 | − | 0.783895i | \(-0.713230\pi\) |
0.929657 | − | 0.368426i | \(-0.120103\pi\) | |||||||
\(398\) | 9.59353 | + | 9.59353i | 0.480880 | + | 0.480880i | ||||
\(399\) | −8.41929 | − | 1.33494i | −0.421492 | − | 0.0668306i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 6.94186 | − | 4.00789i | 0.346660 | − | 0.200144i | −0.316553 | − | 0.948575i | \(-0.602526\pi\) |
0.663213 | + | 0.748430i | \(0.269192\pi\) | |||||||
\(402\) | 19.0326 | − | 7.90867i | 0.949260 | − | 0.394448i | ||||
\(403\) | 4.92094 | + | 18.3652i | 0.245129 | + | 0.914835i | ||||
\(404\) | −0.623205 | − | 1.07942i | −0.0310056 | − | 0.0537033i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.414308 | + | 1.73561i | 0.0205618 | + | 0.0861367i | ||||
\(407\) | −18.8894 | + | 18.8894i | −0.936313 | + | 0.936313i | ||||
\(408\) | 1.79280 | − | 13.7371i | 0.0887568 | − | 0.680087i | ||||
\(409\) | −13.0923 | − | 7.55884i | −0.647372 | − | 0.373761i | 0.140076 | − | 0.990141i | \(-0.455265\pi\) |
−0.787449 | + | 0.616380i | \(0.788599\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −7.02583 | − | 9.13494i | −0.346559 | − | 0.450593i | ||||
\(412\) | −1.95475 | − | 1.95475i | −0.0963036 | − | 0.0963036i | ||||
\(413\) | 1.37059 | + | 0.0376647i | 0.0674422 | + | 0.00185336i | ||||
\(414\) | −2.53890 | − | 9.39073i | −0.124780 | − | 0.461529i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 2.93735 | + | 1.69588i | 0.144016 | + | 0.0831475i | ||||
\(417\) | −8.20512 | − | 19.7460i | −0.401807 | − | 0.966968i | ||||
\(418\) | 9.22284 | + | 2.47125i | 0.451104 | + | 0.120873i | ||||
\(419\) | 26.4645 | 1.29287 | 0.646437 | − | 0.762967i | \(-0.276258\pi\) | ||||
0.646437 | + | 0.762967i | \(0.276258\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.4834 | −0.510929 | −0.255464 | − | 0.966818i | \(-0.582228\pi\) | ||||
−0.255464 | + | 0.966818i | \(0.582228\pi\) | |||||||
\(422\) | −5.51726 | − | 1.47835i | −0.268576 | − | 0.0719647i | ||||
\(423\) | 13.7264 | − | 7.96621i | 0.667403 | − | 0.387330i | ||||
\(424\) | 4.97981 | + | 2.87509i | 0.241841 | + | 0.139627i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −4.60740 | − | 34.6950i | −0.223229 | − | 1.68098i | ||||
\(427\) | −7.07762 | + | 11.5161i | −0.342510 | + | 0.557306i | ||||
\(428\) | 0.340809 | + | 0.340809i | 0.0164736 | + | 0.0164736i | ||||
\(429\) | 11.8782 | − | 9.13570i | 0.573484 | − | 0.441076i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 4.95598 | + | 2.86134i | 0.238721 | + | 0.137826i | 0.614589 | − | 0.788848i | \(-0.289322\pi\) |
−0.375868 | + | 0.926673i | \(0.622655\pi\) | |||||||
\(432\) | −17.4067 | + | 2.35144i | −0.837480 | + | 0.113133i | ||||
\(433\) | 0.977454 | − | 0.977454i | 0.0469735 | − | 0.0469735i | −0.683230 | − | 0.730203i | \(-0.739425\pi\) |
0.730203 | + | 0.683230i | \(0.239425\pi\) | |||||||
\(434\) | 28.6046 | + | 8.51334i | 1.37307 | + | 0.408654i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.732918 | + | 1.26945i | 0.0351004 | + | 0.0607957i | ||||
\(437\) | −1.18785 | − | 4.43312i | −0.0568226 | − | 0.212065i | ||||
\(438\) | 2.53094 | + | 6.09084i | 0.120933 | + | 0.291032i | ||||
\(439\) | 4.91850 | − | 2.83970i | 0.234747 | − | 0.135531i | −0.378013 | − | 0.925800i | \(-0.623392\pi\) |
0.612760 | + | 0.790269i | \(0.290059\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 4.35922 | + | 20.5426i | 0.207582 | + | 0.978218i | ||||
\(442\) | 5.51285 | + | 5.51285i | 0.262220 | + | 0.262220i | ||||
\(443\) | −5.85218 | + | 21.8406i | −0.278045 | + | 1.03768i | 0.675728 | + | 0.737151i | \(0.263830\pi\) |
−0.953773 | + | 0.300528i | \(0.902837\pi\) | |||||||
\(444\) | 1.23280 | − | 2.98574i | 0.0585061 | − | 0.141697i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 18.6026 | − | 10.7402i | 0.880859 | − | 0.508564i | ||||
\(447\) | −13.5230 | − | 10.3524i | −0.639614 | − | 0.489651i | ||||
\(448\) | 20.4127 | − | 11.0490i | 0.964408 | − | 0.522016i | ||||
\(449\) | −32.0075 | −1.51053 | −0.755264 | − | 0.655420i | \(-0.772491\pi\) | ||||
−0.755264 | + | 0.655420i | \(0.772491\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.602360 | − | 1.04332i | 0.0283640 | − | 0.0491279i | ||||
\(452\) | 0.781684 | + | 2.91728i | 0.0367673 | + | 0.137217i | ||||
\(453\) | −0.253521 | + | 1.94257i | −0.0119114 | + | 0.0912697i | ||||
\(454\) | 18.7024i | 0.877749i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −9.53993 | + | 1.26688i | −0.446748 | + | 0.0593270i | ||||
\(457\) | 1.70934 | − | 6.37935i | 0.0799596 | − | 0.298413i | −0.914352 | − | 0.404919i | \(-0.867300\pi\) |
0.994312 | + | 0.106506i | \(0.0339663\pi\) | |||||||
\(458\) | −22.8277 | + | 6.11666i | −1.06667 | + | 0.285813i | ||||
\(459\) | 13.8013 | + | 1.76960i | 0.644188 | + | 0.0825978i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 28.3844i | 1.32199i | 0.750389 | + | 0.660996i | \(0.229866\pi\) | ||||
−0.750389 | + | 0.660996i | \(0.770134\pi\) | |||||||
\(462\) | −2.45477 | − | 23.3935i | −0.114206 | − | 1.08836i | ||||
\(463\) | 3.86974 | − | 3.86974i | 0.179842 | − | 0.179842i | −0.611445 | − | 0.791287i | \(-0.709411\pi\) |
0.791287 | + | 0.611445i | \(0.209411\pi\) | |||||||
\(464\) | 0.867317 | + | 1.50224i | 0.0402642 | + | 0.0697396i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.60407 | − | 13.1706i | 0.352252 | − | 0.610118i | ||||
\(467\) | 7.96411 | + | 2.13398i | 0.368535 | + | 0.0987486i | 0.438333 | − | 0.898813i | \(-0.355569\pi\) |
−0.0697985 | + | 0.997561i | \(0.522236\pi\) | |||||||
\(468\) | −0.902469 | + | 1.57128i | −0.0417167 | + | 0.0726323i | ||||
\(469\) | −16.4666 | − | 17.3972i | −0.760357 | − | 0.803328i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −25.6990 | + | 19.7655i | −1.18415 | + | 0.910747i | ||||
\(472\) | 1.49516 | − | 0.400628i | 0.0688204 | − | 0.0184404i | ||||
\(473\) | −40.5934 | + | 10.8770i | −1.86649 | + | 0.500124i | ||||
\(474\) | −9.11675 | + | 7.01184i | −0.418746 | + | 0.322064i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −1.87891 | + | 0.448517i | −0.0861199 | + | 0.0205578i | ||||
\(477\) | −2.87642 | + | 5.00811i | −0.131702 | + | 0.229305i | ||||
\(478\) | −30.5336 | − | 8.18145i | −1.39657 | − | 0.374211i | ||||
\(479\) | 10.8658 | − | 18.8202i | 0.496473 | − | 0.859917i | −0.503519 | − | 0.863984i | \(-0.667961\pi\) |
0.999992 | + | 0.00406782i | \(0.00129483\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7.57624 | + | 13.1224i | 0.345447 | + | 0.598331i | ||||
\(482\) | −1.31462 | + | 1.31462i | −0.0598792 | + | 0.0598792i | ||||
\(483\) | −9.14805 | + | 6.64409i | −0.416251 | + | 0.302316i | ||||
\(484\) | − | 1.15953i | − | 0.0527060i | ||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −2.78841 | − | 20.2970i | −0.126485 | − | 0.920692i | ||||
\(487\) | 8.74077 | − | 2.34208i | 0.396082 | − | 0.106130i | −0.0552796 | − | 0.998471i | \(-0.517605\pi\) |
0.451362 | + | 0.892341i | \(0.350938\pi\) | |||||||
\(488\) | −3.94963 | + | 14.7402i | −0.178791 | + | 0.667259i | ||||
\(489\) | −22.3666 | + | 2.97022i | −1.01145 | + | 0.134318i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 28.9156i | 1.30494i | 0.757814 | + | 0.652471i | \(0.226268\pi\) | ||||
−0.757814 | + | 0.652471i | \(0.773732\pi\) | |||||||
\(492\) | −0.0188520 | + | 0.144451i | −0.000849912 | + | 0.00651233i | ||||
\(493\) | −0.355648 | − | 1.32730i | −0.0160176 | − | 0.0597785i | ||||
\(494\) | 2.70795 | − | 4.69031i | 0.121837 | − | 0.211027i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 29.0127 | 1.30271 | ||||||||
\(497\) | −35.7738 | + | 19.3637i | −1.60467 | + | 0.868580i | ||||
\(498\) | 23.4177 | + | 17.9272i | 1.04937 | + | 0.803336i | ||||
\(499\) | −27.9320 | + | 16.1266i | −1.25041 | + | 0.721924i | −0.971191 | − | 0.238304i | \(-0.923409\pi\) |
−0.279218 | + | 0.960228i | \(0.590075\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 2.28485 | − | 5.53371i | 0.102079 | − | 0.247228i | ||||
\(502\) | 3.70408 | − | 13.8238i | 0.165321 | − | 0.616987i | ||||
\(503\) | −7.21038 | − | 7.21038i | −0.321495 | − | 0.321495i | 0.527845 | − | 0.849340i | \(-0.323000\pi\) |
−0.849340 | + | 0.527845i | \(0.823000\pi\) | |||||||
\(504\) | 11.3324 | + | 20.8241i | 0.504784 | + | 0.927579i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 10.9674 | − | 6.33201i | 0.487558 | − | 0.281492i | ||||
\(507\) | 5.37859 | + | 12.9438i | 0.238871 | + | 0.574856i | ||||
\(508\) | 0.810759 | + | 3.02579i | 0.0359716 | + | 0.134248i | ||||
\(509\) | 11.9373 | + | 20.6761i | 0.529113 | + | 0.916451i | 0.999424 | + | 0.0339497i | \(0.0108086\pi\) |
−0.470311 | + | 0.882501i | \(0.655858\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.56748 | − | 5.26966i | 0.246291 | − | 0.233116i | ||||
\(512\) | 17.9388 | − | 17.9388i | 0.792789 | − | 0.792789i | ||||
\(513\) | −1.29398 | − | 9.57883i | −0.0571308 | − | 0.422916i | ||||
\(514\) | 22.6010 | + | 13.0487i | 0.996888 | + | 0.575553i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 4.02814 | − | 3.09810i | 0.177329 | − | 0.136386i | ||||
\(517\) | 14.6093 | + | 14.6093i | 0.642518 | + | 0.642518i | ||||
\(518\) | 23.7757 | + | 0.653374i | 1.04465 | + | 0.0287076i | ||||
\(519\) | 2.17857 | + | 16.4052i | 0.0956285 | + | 0.720109i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −18.3151 | − | 10.5743i | −0.802401 | − | 0.463267i | 0.0419089 | − | 0.999121i | \(-0.486656\pi\) |
−0.844310 | + | 0.535855i | \(0.819989\pi\) | |||||||
\(522\) | −1.74994 | + | 1.01558i | −0.0765926 | + | 0.0444509i | ||||
\(523\) | −16.0383 | − | 4.29744i | −0.701305 | − | 0.187914i | −0.109490 | − | 0.993988i | \(-0.534922\pi\) |
−0.591815 | + | 0.806074i | \(0.701588\pi\) | |||||||
\(524\) | −1.19851 | −0.0523571 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 34.4614 | 1.50259 | ||||||||
\(527\) | −22.1998 | − | 5.94842i | −0.967039 | − | 0.259117i | ||||
\(528\) | −8.77432 | − | 21.1159i | −0.381853 | − | 0.918949i | ||||
\(529\) | 14.6469 | + | 8.45641i | 0.636823 | + | 0.367670i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.405761 | + | 1.50080i | 0.0176085 | + | 0.0651293i | ||||
\(532\) | 0.638774 | + | 1.18011i | 0.0276944 | + | 0.0511644i | ||||
\(533\) | −0.483193 | − | 0.483193i | −0.0209294 | − | 0.0209294i | ||||
\(534\) | 15.7523 | + | 20.4810i | 0.681669 | + | 0.886301i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −23.4201 | − | 13.5216i | −1.01160 | − | 0.584045i | ||||
\(537\) | 2.41643 | − | 18.5155i | 0.104276 | − | 0.799004i | ||||
\(538\) | 0.448074 | − | 0.448074i | 0.0193178 | − | 0.0193178i | ||||
\(539\) | −24.3907 | + | 12.3483i | −1.05058 | + | 0.531878i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −20.2965 | − | 35.1545i | −0.872613 | − | 1.51141i | −0.859284 | − | 0.511499i | \(-0.829090\pi\) |
−0.0133293 | − | 0.999911i | \(-0.504243\pi\) | |||||||
\(542\) | −2.01773 | − | 7.53026i | −0.0866687 | − | 0.323452i | ||||
\(543\) | −4.58468 | + | 1.90508i | −0.196747 | + | 0.0817549i | ||||
\(544\) | −3.55067 | + | 2.04998i | −0.152234 | + | 0.0878921i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −13.1775 | − | 2.08938i | −0.563943 | − | 0.0894173i | ||||
\(547\) | 7.28811 | + | 7.28811i | 0.311617 | + | 0.311617i | 0.845536 | − | 0.533919i | \(-0.179281\pi\) |
−0.533919 | + | 0.845536i | \(0.679281\pi\) | |||||||
\(548\) | −0.469531 | + | 1.75231i | −0.0200574 | + | 0.0748551i | ||||
\(549\) | −14.8137 | − | 3.93361i | −0.632233 | − | 0.167882i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.826675 | + | 0.477281i | −0.0352175 | + | 0.0203329i | ||||
\(552\) | −7.75892 | + | 10.1352i | −0.330241 | + | 0.431383i | ||||
\(553\) | 11.3886 | + | 6.99920i | 0.484290 | + | 0.297636i | ||||
\(554\) | −17.8219 | −0.757181 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.68303 | + | 2.91509i | −0.0713762 | + | 0.123627i | ||||
\(557\) | −8.51930 | − | 31.7945i | −0.360975 | − | 1.34718i | −0.872797 | − | 0.488084i | \(-0.837696\pi\) |
0.511822 | − | 0.859091i | \(-0.328971\pi\) | |||||||
\(558\) | 0.0761506 | + | 33.8405i | 0.00322371 | + | 1.43258i | ||||
\(559\) | 23.8376i | 1.00822i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.38455 | + | 17.9563i | 0.100676 | + | 0.758115i | ||||
\(562\) | 4.16218 | − | 15.5335i | 0.175571 | − | 0.655240i | ||||
\(563\) | −13.6232 | + | 3.65033i | −0.574150 | + | 0.153843i | −0.534199 | − | 0.845359i | \(-0.679387\pi\) |
−0.0399510 | + | 0.999202i | \(0.512720\pi\) | |||||||
\(564\) | −2.30921 | − | 0.953465i | −0.0972354 | − | 0.0401481i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 26.9001i | 1.13069i | ||||||||
\(567\) | −20.8896 | + | 11.4290i | −0.877282 | + | 0.479974i | ||||
\(568\) | −32.4729 | + | 32.4729i | −1.36253 | + | 1.36253i | ||||
\(569\) | 22.7130 | + | 39.3401i | 0.952178 | + | 1.64922i | 0.740697 | + | 0.671839i | \(0.234495\pi\) |
0.211481 | + | 0.977382i | \(0.432171\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −11.0051 | + | 19.0614i | −0.460548 | + | 0.797693i | −0.998988 | − | 0.0449706i | \(-0.985681\pi\) |
0.538440 | + | 0.842664i | \(0.319014\pi\) | |||||||
\(572\) | −2.27854 | − | 0.610532i | −0.0952704 | − | 0.0255276i | ||||
\(573\) | −14.7468 | + | 19.2633i | −0.616057 | + | 0.804734i | ||||
\(574\) | −1.04332 | + | 0.249051i | −0.0435472 | + | 0.0103952i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 18.6521 | + | 18.5684i | 0.777173 | + | 0.773683i | ||||
\(577\) | −38.3331 | + | 10.2713i | −1.59583 | + | 0.427601i | −0.943779 | − | 0.330576i | \(-0.892757\pi\) |
−0.652049 | + | 0.758177i | \(0.726090\pi\) | |||||||
\(578\) | 12.4784 | − | 3.34359i | 0.519034 | − | 0.139075i | ||||
\(579\) | 10.0415 | + | 13.0559i | 0.417311 | + | 0.542585i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 9.77767 | − | 32.8527i | 0.405646 | − | 1.36296i | ||||
\(582\) | 17.4328 | + | 13.3455i | 0.722614 | + | 0.553191i | ||||
\(583\) | −7.26234 | − | 1.94594i | −0.300775 | − | 0.0805925i | ||||
\(584\) | 4.32721 | − | 7.49494i | 0.179061 | − | 0.310143i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −17.0071 | − | 29.4572i | −0.702559 | − | 1.21687i | ||||
\(587\) | 2.66817 | − | 2.66817i | 0.110127 | − | 0.110127i | −0.649896 | − | 0.760023i | \(-0.725188\pi\) |
0.760023 | + | 0.649896i | \(0.225188\pi\) | |||||||
\(588\) | 2.15060 | − | 2.51059i | 0.0886893 | − | 0.103535i | ||||
\(589\) | 15.9656i | 0.657851i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 4.94719 | − | 11.9817i | 0.203500 | − | 0.492861i | ||||
\(592\) | 22.3339 | − | 5.98435i | 0.917918 | − | 0.245955i | ||||
\(593\) | −3.12571 | + | 11.6653i | −0.128357 | + | 0.479037i | −0.999937 | − | 0.0112174i | \(-0.996429\pi\) |
0.871580 | + | 0.490254i | \(0.163096\pi\) | |||||||
\(594\) | 24.6065 | − | 10.2898i | 1.00962 | − | 0.422196i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 2.68092i | 0.109815i | ||||||||
\(597\) | 17.7295 | + | 2.31385i | 0.725622 | + | 0.0946994i | ||||
\(598\) | −1.85916 | − | 6.93849i | −0.0760269 | − | 0.283736i | ||||
\(599\) | 16.3639 | − | 28.3431i | 0.668610 | − | 1.15807i | −0.309683 | − | 0.950840i | \(-0.600223\pi\) |
0.978293 | − | 0.207226i | \(-0.0664436\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −46.3697 | −1.89146 | −0.945729 | − | 0.324956i | \(-0.894651\pi\) | ||||
−0.945729 | + | 0.324956i | \(0.894651\pi\) | |||||||
\(602\) | 31.8785 | + | 19.5919i | 1.29927 | + | 0.798508i | ||||
\(603\) | 13.5279 | − | 23.5532i | 0.550898 | − | 0.959161i | ||||
\(604\) | 0.267071 | − | 0.154194i | 0.0108670 | − | 0.00627406i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 9.61866 | + | 3.97151i | 0.390731 | + | 0.161331i | ||||
\(607\) | −4.19997 | + | 15.6745i | −0.170471 | + | 0.636208i | 0.826807 | + | 0.562485i | \(0.190155\pi\) |
−0.997279 | + | 0.0737227i | \(0.976512\pi\) | |||||||
\(608\) | 2.01393 | + | 2.01393i | 0.0816756 | + | 0.0816756i | ||||
\(609\) | 1.82726 | + | 1.48019i | 0.0740442 | + | 0.0599805i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 10.1491 | − | 5.85957i | 0.410588 | − | 0.237053i | ||||
\(612\) | −1.09944 | − | 1.89443i | −0.0444422 | − | 0.0765777i | ||||
\(613\) | −3.56775 | − | 13.3150i | −0.144100 | − | 0.537789i | −0.999794 | − | 0.0203066i | \(-0.993536\pi\) |
0.855694 | − | 0.517483i | \(-0.173131\pi\) | |||||||
\(614\) | −17.9270 | − | 31.0504i | −0.723473 | − | 1.25309i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −22.4151 | + | 21.2161i | −0.903130 | + | 0.854821i | ||||
\(617\) | −10.5782 | + | 10.5782i | −0.425862 | + | 0.425862i | −0.887216 | − | 0.461354i | \(-0.847364\pi\) |
0.461354 | + | 0.887216i | \(0.347364\pi\) | |||||||
\(618\) | 22.8863 | + | 2.98684i | 0.920620 | + | 0.120148i | ||||
\(619\) | 25.0531 | + | 14.4644i | 1.00697 | + | 0.581375i | 0.910303 | − | 0.413942i | \(-0.135848\pi\) |
0.0966677 | + | 0.995317i | \(0.469182\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −10.1971 | − | 7.76998i | −0.409196 | − | 0.311798i | ||||
\(622\) | 23.5762 | + | 23.5762i | 0.945321 | + | 0.945321i | ||||
\(623\) | 15.7239 | − | 25.5847i | 0.629965 | − | 1.02503i | ||||
\(624\) | −12.8573 | + | 1.70742i | −0.514704 | + | 0.0683514i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −27.8792 | − | 16.0961i | −1.11428 | − | 0.643329i | ||||
\(627\) | 11.6200 | − | 4.82847i | 0.464057 | − | 0.192831i | ||||
\(628\) | 4.92972 | + | 1.32091i | 0.196717 | + | 0.0527102i | ||||
\(629\) | −18.3163 | −0.730318 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.13783 | −0.164724 | −0.0823622 | − | 0.996602i | \(-0.526246\pi\) | ||||
−0.0823622 | + | 0.996602i | \(0.526246\pi\) | |||||||
\(632\) | 14.5769 | + | 3.90587i | 0.579838 | + | 0.155367i | ||||
\(633\) | −6.95126 | + | 2.88847i | −0.276288 | + | 0.114806i | ||||
\(634\) | −13.7171 | − | 7.91955i | −0.544774 | − | 0.314526i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0.901234 | − | 0.119681i | 0.0357362 | − | 0.00474568i | ||||
\(637\) | 3.18478 | + | 15.1762i | 0.126186 | + | 0.601304i | ||||
\(638\) | −1.86249 | − | 1.86249i | −0.0737369 | − | 0.0737369i | ||||
\(639\) | −32.6884 | − | 32.5416i | −1.29313 | − | 1.28733i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.533980 | − | 0.308293i | −0.0210909 | − | 0.0121769i | 0.489417 | − | 0.872050i | \(-0.337209\pi\) |
−0.510508 | + | 0.859873i | \(0.670543\pi\) | |||||||
\(642\) | −3.99019 | − | 0.520752i | −0.157480 | − | 0.0205525i | ||||
\(643\) | 12.1411 | − | 12.1411i | 0.478799 | − | 0.478799i | −0.425949 | − | 0.904747i | \(-0.640060\pi\) |
0.904747 | + | 0.425949i | \(0.140060\pi\) | |||||||
\(644\) | 1.70585 | + | 0.507698i | 0.0672200 | + | 0.0200061i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.27337 | + | 5.66964i | 0.128789 | + | 0.223069i | ||||
\(647\) | −7.54222 | − | 28.1479i | −0.296515 | − | 1.10661i | −0.940007 | − | 0.341156i | \(-0.889182\pi\) |
0.643492 | − | 0.765453i | \(-0.277485\pi\) | |||||||
\(648\) | −18.9229 | + | 19.0940i | −0.743361 | + | 0.750082i | ||||
\(649\) | −1.75277 | + | 1.01196i | −0.0688024 | + | 0.0397231i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 36.7212 | − | 14.0888i | 1.43922 | − | 0.552185i | ||||
\(652\) | 2.51151 | + | 2.51151i | 0.0983581 | + | 0.0983581i | ||||
\(653\) | 3.91588 | − | 14.6142i | 0.153240 | − | 0.571900i | −0.846010 | − | 0.533168i | \(-0.821001\pi\) |
0.999250 | − | 0.0387320i | \(-0.0123319\pi\) | |||||||
\(654\) | −11.3120 | − | 4.67067i | −0.442334 | − | 0.182638i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −0.903034 | + | 0.521367i | −0.0352575 | + | 0.0203560i | ||||
\(657\) | 7.53753 | + | 4.32921i | 0.294067 | + | 0.168899i | ||||
\(658\) | 0.505329 | − | 18.3885i | 0.0196998 | − | 0.716859i | ||||
\(659\) | 6.05597 | 0.235907 | 0.117954 | − | 0.993019i | \(-0.462367\pi\) | ||||
0.117954 | + | 0.993019i | \(0.462367\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.7793 | + | 18.6702i | −0.419264 | + | 0.726187i | −0.995866 | − | 0.0908385i | \(-0.971045\pi\) |
0.576601 | + | 0.817026i | \(0.304379\pi\) | |||||||
\(662\) | 3.31593 | + | 12.3752i | 0.128877 | + | 0.480977i | ||||
\(663\) | 10.1881 | + | 1.32964i | 0.395675 | + | 0.0516388i | ||||
\(664\) | − | 38.6968i | − | 1.50173i | ||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 7.03878 | + | 26.0346i | 0.272747 | + | 1.00882i | ||||
\(667\) | −0.327681 | + | 1.22292i | −0.0126878 | + | 0.0473517i | ||||
\(668\) | −0.910324 | + | 0.243921i | −0.0352215 | + | 0.00943757i | ||||
\(669\) | 10.8037 | − | 26.1657i | 0.417695 | − | 1.01162i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 19.9531i | − | 0.770282i | ||||||
\(672\) | 2.85489 | − | 6.40927i | 0.110130 | − | 0.247243i | ||||
\(673\) | −14.8200 | + | 14.8200i | −0.571271 | + | 0.571271i | −0.932483 | − | 0.361213i | \(-0.882363\pi\) |
0.361213 | + | 0.932483i | \(0.382363\pi\) | |||||||
\(674\) | −9.84644 | − | 17.0545i | −0.379271 | − | 0.656916i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.10325 | − | 1.91089i | 0.0424327 | − | 0.0734956i | ||||
\(677\) | −0.205811 | − | 0.0551469i | −0.00790997 | − | 0.00211947i | 0.254862 | − | 0.966977i | \(-0.417970\pi\) |
−0.262772 | + | 0.964858i | \(0.584637\pi\) | |||||||
\(678\) | −20.0222 | − | 15.3278i | −0.768948 | − | 0.588661i | ||||
\(679\) | 7.27880 | − | 24.4566i | 0.279335 | − | 0.938557i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 15.0263 | + | 19.5371i | 0.575810 | + | 0.748664i | ||||
\(682\) | −42.5534 | + | 11.4022i | −1.62945 | + | 0.436611i | ||||
\(683\) | 37.2748 | − | 9.98776i | 1.42628 | − | 0.382171i | 0.538573 | − | 0.842579i | \(-0.318963\pi\) |
0.887708 | + | 0.460408i | \(0.152297\pi\) | |||||||
\(684\) | −1.07349 | + | 1.07833i | −0.0410460 | + | 0.0412311i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 22.9130 | + | 8.21416i | 0.874823 | + | 0.313618i | ||||
\(687\) | −18.9321 | + | 24.7304i | −0.722305 | + | 0.943522i | ||||
\(688\) | 35.1353 | + | 9.41447i | 1.33952 | + | 0.358923i | ||||
\(689\) | −2.13232 | + | 3.69329i | −0.0812350 | + | 0.140703i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10.7637 | + | 18.6432i | 0.409469 | + | 0.709220i | 0.994830 | − | 0.101552i | \(-0.0323808\pi\) |
−0.585362 | + | 0.810772i | \(0.699047\pi\) | |||||||
\(692\) | 1.84211 | − | 1.84211i | 0.0700266 | − | 0.0700266i | ||||
\(693\) | −21.3596 | − | 22.4653i | −0.811385 | − | 0.853385i | ||||
\(694\) | 28.3611i | 1.07657i | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.45385 | + | 1.01318i | 0.0930129 | + | 0.0384046i | ||||
\(697\) | 0.797873 | − | 0.213789i | 0.0302216 | − | 0.00809785i | ||||
\(698\) | 9.69855 | − | 36.1955i | 0.367095 | − | 1.37002i | ||||
\(699\) | −2.63840 | − | 19.8679i | −0.0997934 | − | 0.751472i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 5.55742i | − | 0.209901i | −0.994477 | − | 0.104951i | \(-0.966532\pi\) | ||
0.994477 | − | 0.104951i | \(-0.0334684\pi\) | |||||||
\(702\) | −2.02528 | − | 14.9923i | −0.0764393 | − | 0.565848i | ||||
\(703\) | 3.29316 | + | 12.2903i | 0.124204 | + | 0.463536i | ||||
\(704\) | −17.1313 | + | 29.6724i | −0.645662 | + | 1.11832i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −16.1461 | −0.607665 | ||||||||
\(707\) | 0.332246 | − | 12.0902i | 0.0124954 | − | 0.454697i | ||||
\(708\) | 0.148767 | − | 0.194329i | 0.00559100 | − | 0.00730333i | ||||
\(709\) | −33.7512 | + | 19.4863i | −1.26755 | + | 0.731822i | −0.974524 | − | 0.224282i | \(-0.927996\pi\) |
−0.293028 | + | 0.956104i | \(0.594663\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −3.89002 | + | 14.6495i | −0.145887 | + | 0.549401i | ||||
\(712\) | 8.77465 | − | 32.7475i | 0.328844 | − | 1.22726i | ||||
\(713\) | 14.9734 | + | 14.9734i | 0.560758 | + | 0.560758i | ||||
\(714\) | 10.1517 | − | 12.5320i | 0.379918 | − | 0.468998i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −2.54559 | + | 1.46969i | −0.0951330 | + | 0.0549251i | ||||
\(717\) | −38.4696 | + | 15.9854i | −1.43667 | + | 0.596984i | ||||
\(718\) | 1.63812 | + | 6.11354i | 0.0611340 | + | 0.228155i | ||||
\(719\) | 6.37639 | + | 11.0442i | 0.237799 | + | 0.411881i | 0.960083 | − | 0.279717i | \(-0.0902406\pi\) |
−0.722283 | + | 0.691597i | \(0.756907\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.22844 | − | 26.0920i | −0.231959 | − | 0.971716i | ||||
\(722\) | −14.4417 | + | 14.4417i | −0.537463 | + | 0.537463i | ||||
\(723\) | −0.317070 | + | 2.42951i | −0.0117920 | + | 0.0903543i | ||||
\(724\) | 0.676831 | + | 0.390769i | 0.0251542 | + | 0.0145228i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 5.90204 | + | 7.67379i | 0.219045 | + | 0.284801i | ||||
\(727\) | −7.96907 | − | 7.96907i | −0.295557 | − | 0.295557i | 0.543714 | − | 0.839271i | \(-0.317018\pi\) |
−0.839271 | + | 0.543714i | \(0.817018\pi\) | |||||||
\(728\) | 8.33341 | + | 15.3957i | 0.308857 | + | 0.570602i | ||||
\(729\) | −19.2203 | − | 18.9626i | −0.711864 | − | 0.702317i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −24.9544 | − | 14.4074i | −0.922971 | − | 0.532877i | ||||
\(732\) | 0.925826 | + | 2.22805i | 0.0342195 | + | 0.0823510i | ||||
\(733\) | 5.23810 | + | 1.40354i | 0.193474 | + | 0.0518411i | 0.354255 | − | 0.935149i | \(-0.384735\pi\) |
−0.160781 | + | 0.986990i | \(0.551401\pi\) | |||||||
\(734\) | 18.8337 | 0.695165 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.77754 | 0.139242 | ||||||||
\(737\) | 34.1549 | + | 9.15178i | 1.25811 | + | 0.337110i | ||||
\(738\) | −0.610493 | − | 1.05193i | −0.0224726 | − | 0.0387221i | ||||
\(739\) | −12.8892 | − | 7.44158i | −0.474136 | − | 0.273743i | 0.243833 | − | 0.969817i | \(-0.421595\pi\) |
−0.717970 | + | 0.696074i | \(0.754928\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.939584 | − | 7.07532i | −0.0345165 | − | 0.259918i | ||||
\(742\) | 3.18657 | + | 5.88709i | 0.116983 | + | 0.216122i | ||||
\(743\) | 22.4301 | + | 22.4301i | 0.822879 | + | 0.822879i | 0.986520 | − | 0.163641i | \(-0.0523239\pi\) |
−0.163641 | + | 0.986520i | \(0.552324\pi\) | |||||||
\(744\) | 35.1967 | − | 27.0704i | 1.29037 | − | 0.992448i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −1.32747 | − | 0.766412i | −0.0486020 | − | 0.0280604i | ||||
\(747\) | 38.8662 | − | 0.0874599i | 1.42204 | − | 0.00319999i | ||||
\(748\) | 2.01628 | − | 2.01628i | 0.0737225 | − | 0.0737225i | ||||
\(749\) | 1.08592 | + | 4.54911i | 0.0396787 | + | 0.166221i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 21.2065 | + | 36.7307i | 0.773836 | + | 1.34032i | 0.935446 | + | 0.353469i | \(0.114998\pi\) |
−0.161610 | + | 0.986855i | \(0.551669\pi\) | |||||||
\(752\) | −4.62839 | − | 17.2734i | −0.168780 | − | 0.629895i | ||||
\(753\) | −7.23724 | − | 17.4168i | −0.263740 | − | 0.634703i | ||||
\(754\) | −1.29387 | + | 0.747017i | −0.0471200 | + | 0.0272047i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 3.42749 | + | 1.51748i | 0.124657 | + | 0.0551901i | ||||
\(757\) | −13.4589 | − | 13.4589i | −0.489171 | − | 0.489171i | 0.418873 | − | 0.908045i | \(-0.362425\pi\) |
−0.908045 | + | 0.418873i | \(0.862425\pi\) | |||||||
\(758\) | 8.46132 | − | 31.5781i | 0.307329 | − | 1.14697i | ||||
\(759\) | 6.36943 | − | 15.4262i | 0.231196 | − | 0.559937i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −29.3030 | + | 16.9181i | −1.06223 | + | 0.613280i | −0.926049 | − | 0.377404i | \(-0.876817\pi\) |
−0.136183 | + | 0.990684i | \(0.543484\pi\) | |||||||
\(762\) | −20.7669 | − | 15.8979i | −0.752307 | − | 0.575922i | ||||
\(763\) | −0.390737 | + | 14.2186i | −0.0141456 | + | 0.514747i | ||||
\(764\) | 3.81893 | 0.138164 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.16865 | + | 2.02417i | −0.0422252 | + | 0.0731361i | ||||
\(767\) | 0.297127 | + | 1.10889i | 0.0107286 | + | 0.0400398i | ||||
\(768\) | 1.43825 | − | 11.0204i | 0.0518984 | − | 0.397664i | ||||
\(769\) | − | 3.27472i | − | 0.118090i | −0.998255 | − | 0.0590448i | \(-0.981195\pi\) | ||
0.998255 | − | 0.0590448i | \(-0.0188055\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 34.0935 | − | 4.52753i | 1.22785 | − | 0.163055i | ||||
\(772\) | 0.671066 | − | 2.50445i | 0.0241522 | − | 0.0901372i | ||||
\(773\) | 1.84459 | − | 0.494257i | 0.0663454 | − | 0.0177772i | −0.225494 | − | 0.974245i | \(-0.572399\pi\) |
0.291839 | + | 0.956467i | \(0.405733\pi\) | |||||||
\(774\) | −10.8888 | + | 41.0066i | −0.391391 | + | 1.47395i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | − | 28.8071i | − | 1.03411i | ||||||
\(777\) | 25.3618 | − | 18.4199i | 0.909849 | − | 0.660810i | ||||
\(778\) | −24.0058 | + | 24.0058i | −0.860651 | + | 0.860651i | ||||
\(779\) | −0.286906 | − | 0.496936i | −0.0102795 | − | 0.0178046i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 30.0232 | − | 52.0017i | 1.07431 | − | 1.86077i | ||||
\(782\) | 8.38724 | + | 2.24735i | 0.299927 | + | 0.0803652i | ||||
\(783\) | −1.01207 | + | 2.46688i | −0.0361686 | + | 0.0881591i | ||||
\(784\) | 23.6267 | + | 1.29954i | 0.843812 | + | 0.0464121i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 7.93174 | − | 6.10043i | 0.282916 | − | 0.217595i | ||||
\(787\) | 21.6879 | − | 5.81125i | 0.773089 | − | 0.207149i | 0.149354 | − | 0.988784i | \(-0.452281\pi\) |
0.623736 | + | 0.781635i | \(0.285614\pi\) | |||||||
\(788\) | −1.97105 | + | 0.528142i | −0.0702158 | + | 0.0188143i | ||||
\(789\) | 35.9994 | − | 27.6878i | 1.28161 | − | 0.985710i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −8.35995 | + | 28.0892i | −0.297246 | + | 0.998738i | ||||
\(792\) | −30.3467 | − | 17.4297i | −1.07832 | − | 0.619339i | ||||
\(793\) | −10.9321 | − | 2.92926i | −0.388212 | − | 0.104021i | ||||
\(794\) | 15.6201 | − | 27.0548i | 0.554337 | − | 0.960140i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.40731 | − | 2.43752i | −0.0498806 | − | 0.0863957i | ||||
\(797\) | 13.6812 | − | 13.6812i | 0.484611 | − | 0.484611i | −0.421989 | − | 0.906601i | \(-0.638668\pi\) |
0.906601 | + | 0.421989i | \(0.138668\pi\) | |||||||
\(798\) | −10.2342 | − | 4.55863i | −0.362287 | − | 0.161374i | ||||
\(799\) | 14.1661i | 0.501160i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 32.9106 | + | 8.73905i | 1.16284 | + | 0.308779i | ||||
\(802\) | 10.1760 | − | 2.72666i | 0.359328 | − | 0.0962818i | ||||
\(803\) | −2.92877 | + | 10.9303i | −0.103354 | + | 0.385722i | ||||
\(804\) | −4.23852 | + | 0.562864i | −0.149481 | + | 0.0198507i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 24.9885i | 0.880184i | ||||||||
\(807\) | 0.108070 | − | 0.828072i | 0.00380424 | − | 0.0291495i | ||||
\(808\) | −3.53400 | − | 13.1891i | −0.124326 | − | 0.463989i | ||||
\(809\) | 23.1365 | − | 40.0737i | 0.813438 | − | 1.40892i | −0.0970065 | − | 0.995284i | \(-0.530927\pi\) |
0.910444 | − | 0.413632i | \(-0.135740\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 29.6188 | 1.04006 | 0.520028 | − | 0.854149i | \(-0.325922\pi\) | ||||
0.520028 | + | 0.854149i | \(0.325922\pi\) | |||||||
\(812\) | 0.0101689 | − | 0.370038i | 0.000356858 | − | 0.0129858i | ||||
\(813\) | −8.15790 | − | 6.24520i | −0.286110 | − | 0.219029i | ||||
\(814\) | −30.4056 | + | 17.5547i | −1.06572 | + | 0.615291i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 5.98354 | − | 14.4916i | 0.209466 | − | 0.507309i | ||||
\(817\) | −5.18074 | + | 19.3348i | −0.181251 | + | 0.676439i | ||||
\(818\) | −14.0495 | − | 14.0495i | −0.491228 | − | 0.491228i | ||||
\(819\) | −15.4443 | + | 8.40469i | −0.539666 | + | 0.293683i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 47.2841 | − | 27.2995i | 1.65023 | − | 0.952759i | 0.673250 | − | 0.739415i | \(-0.264898\pi\) |
0.976977 | − | 0.213343i | \(-0.0684353\pi\) | |||||||
\(822\) | −5.81194 | − | 13.9867i | −0.202715 | − | 0.487843i | ||||
\(823\) | −9.08855 | − | 33.9189i | −0.316807 | − | 1.18234i | −0.922296 | − | 0.386485i | \(-0.873689\pi\) |
0.605489 | − | 0.795854i | \(-0.292978\pi\) | |||||||
\(824\) | −15.1421 | − | 26.2268i | −0.527499 | − | 0.913655i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.72715 | + | 0.514037i | 0.0600952 | + | 0.0178856i | ||||
\(827\) | 15.5901 | − | 15.5901i | 0.542122 | − | 0.542122i | −0.382028 | − | 0.924151i | \(-0.624774\pi\) |
0.924151 | + | 0.382028i | \(0.124774\pi\) | |||||||
\(828\) | 0.00454128 | + | 2.01810i | 0.000157821 | + | 0.0701337i | ||||
\(829\) | 12.0710 | + | 6.96918i | 0.419242 | + | 0.242050i | 0.694753 | − | 0.719248i | \(-0.255514\pi\) |
−0.275511 | + | 0.961298i | \(0.588847\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −18.6173 | + | 14.3189i | −0.645827 | + | 0.496716i | ||||
\(832\) | 13.7422 | + | 13.7422i | 0.476426 | + | 0.476426i | ||||
\(833\) | −17.8121 | − | 5.83851i | −0.617153 | − | 0.202292i | ||||
\(834\) | −3.69956 | − | 27.8587i | −0.128105 | − | 0.964668i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −1.71544 | − | 0.990411i | −0.0593298 | − | 0.0342541i | ||||
\(837\) | 27.2684 | + | 35.2896i | 0.942535 | + | 1.21979i | ||||
\(838\) | 33.5967 | + | 9.00220i | 1.16058 | + | 0.310976i | ||||
\(839\) | 8.40213 | 0.290074 | 0.145037 | − | 0.989426i | \(-0.453670\pi\) | ||||
0.145037 | + | 0.989426i | \(0.453670\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.7367 | −0.990920 | ||||||||
\(842\) | −13.3087 | − | 3.56605i | −0.458647 | − | 0.122894i | ||||
\(843\) | −8.13230 | − | 19.5708i | −0.280091 | − | 0.674054i | ||||
\(844\) | 1.02621 | + | 0.592481i | 0.0353235 | + | 0.0203940i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 20.1355 | − | 5.44390i | 0.692274 | − | 0.187165i | ||||
\(847\) | 5.89140 | − | 9.58603i | 0.202431 | − | 0.329380i | ||||
\(848\) | 4.60156 | + | 4.60156i | 0.158018 | + | 0.158018i | ||||
\(849\) | 21.6126 | + | 28.1006i | 0.741744 | + | 0.964411i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 14.6150 | + | 8.43796i | 0.500995 | + | 0.289249i | ||||
\(852\) | −0.939631 | + | 7.19980i | −0.0321912 | + | 0.246661i | ||||
\(853\) | −1.24579 | + | 1.24579i | −0.0426549 | + | 0.0426549i | −0.728113 | − | 0.685458i | \(-0.759602\pi\) |
0.685458 | + | 0.728113i | \(0.259602\pi\) | |||||||
\(854\) | −12.9024 | + | 12.2122i | −0.441511 | + | 0.417894i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.64000 | + | 4.57262i | 0.0902334 | + | 0.156289i | ||||
\(857\) | 2.22316 | + | 8.29696i | 0.0759419 | + | 0.283419i | 0.993445 | − | 0.114309i | \(-0.0364654\pi\) |
−0.917503 | + | 0.397728i | \(0.869799\pi\) | |||||||
\(858\) | 18.1870 | − | 7.55728i | 0.620894 | − | 0.258001i | ||||
\(859\) | 17.0233 | − | 9.82840i | 0.580827 | − | 0.335341i | −0.180635 | − | 0.983550i | \(-0.557815\pi\) |
0.761462 | + | 0.648209i | \(0.224482\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.889782 | + | 1.09841i | −0.0303237 | + | 0.0374337i | ||||
\(862\) | 5.31831 | + | 5.31831i | 0.181142 | + | 0.181142i | ||||
\(863\) | 7.06489 | − | 26.3665i | 0.240492 | − | 0.897527i | −0.735105 | − | 0.677954i | \(-0.762867\pi\) |
0.975596 | − | 0.219573i | \(-0.0704664\pi\) | |||||||
\(864\) | 7.89119 | + | 1.01181i | 0.268464 | + | 0.0344224i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 1.57337 | − | 0.908387i | 0.0534654 | − | 0.0308682i | ||||
\(867\) | 10.3490 | − | 13.5185i | 0.351469 | − | 0.459112i | ||||
\(868\) | −5.27487 | − | 3.24184i | −0.179041 | − | 0.110035i | ||||
\(869\) | −19.7321 | −0.669364 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 10.0284 | − | 17.3696i | 0.339798 | − | 0.588547i | ||||
\(872\) | 4.15615 | + | 15.5109i | 0.140745 | + | 0.525267i | ||||
\(873\) | 28.9332 | − | 0.0651078i | 0.979241 | − | 0.00220357i | ||||
\(874\) | − | 6.03191i | − | 0.204032i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −0.180129 | − | 1.35642i | −0.00608598 | − | 0.0458291i | ||||
\(877\) | −0.973098 | + | 3.63165i | −0.0328592 | + | 0.122632i | −0.980407 | − | 0.196981i | \(-0.936886\pi\) |
0.947548 | + | 0.319613i | \(0.103553\pi\) | |||||||
\(878\) | 7.21001 | − | 1.93192i | 0.243326 | − | 0.0651990i | ||||
\(879\) | −41.4333 | − | 17.1077i | −1.39751 | − | 0.577027i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 23.1988i | − | 0.781586i | −0.920479 | − | 0.390793i | \(-0.872201\pi\) | ||
0.920479 | − | 0.390793i | \(-0.127799\pi\) | |||||||
\(882\) | −1.45377 | + | 27.5617i | −0.0489510 | + | 0.928050i | ||||
\(883\) | 12.7408 | − | 12.7408i | 0.428761 | − | 0.428761i | −0.459445 | − | 0.888206i | \(-0.651952\pi\) |
0.888206 | + | 0.459445i | \(0.151952\pi\) | |||||||
\(884\) | −0.808698 | − | 1.40071i | −0.0271994 | − | 0.0471108i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −14.8587 | + | 25.7360i | −0.499188 | + | 0.864618i | ||||
\(887\) | −40.7584 | − | 10.9212i | −1.36853 | − | 0.366697i | −0.501589 | − | 0.865106i | \(-0.667251\pi\) |
−0.866942 | + | 0.498409i | \(0.833918\pi\) | |||||||
\(888\) | 21.5106 | − | 28.0986i | 0.721849 | − | 0.942927i | ||||
\(889\) | −8.67091 | + | 29.1340i | −0.290813 | + | 0.977124i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 17.4375 | − | 30.5190i | 0.584177 | − | 1.02242i | ||||
\(892\) | −4.30439 | + | 1.15336i | −0.144122 | + | 0.0386173i | ||||
\(893\) | 9.50546 | − | 2.54698i | 0.318088 | − | 0.0852315i | ||||
\(894\) | −13.6459 | − | 17.7424i | −0.456388 | − | 0.593393i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 21.7920 | − | 5.20198i | 0.728019 | − | 0.173786i | ||||
\(897\) | −7.51681 | − | 5.75443i | −0.250979 | − | 0.192135i | ||||
\(898\) | −40.6336 | − | 10.8877i | −1.35596 | − | 0.363329i | ||||
\(899\) | 2.20214 | − | 3.81421i | 0.0734453 | − | 0.127211i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.57755 | − | 4.46444i | −0.0858706 | − | 0.148732i | ||||
\(902\) | 1.11959 | − | 1.11959i | 0.0372784 | − | 0.0372784i | ||||
\(903\) | 49.0422 | − | 5.14618i | 1.63202 | − | 0.171254i | ||||
\(904\) | 33.0860i | 1.10042i | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −0.982632 | + | 2.37985i | −0.0326458 | + | 0.0790653i | ||||
\(907\) | 26.6702 | − | 7.14625i | 0.885568 | − | 0.237287i | 0.212760 | − | 0.977104i | \(-0.431755\pi\) |
0.672808 | + | 0.739817i | \(0.265088\pi\) | |||||||
\(908\) | 1.00420 | − | 3.74772i | 0.0333255 | − | 0.124372i | ||||
\(909\) | 13.2388 | − | 3.57928i | 0.439104 | − | 0.118717i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 34.8909i | 1.15599i | 0.816042 | + | 0.577993i | \(0.196164\pi\) | ||||
−0.816042 | + | 0.577993i | \(0.803836\pi\) | |||||||
\(912\) | −10.7997 | − | 1.40945i | −0.357614 | − | 0.0466715i | ||||
\(913\) | 13.0955 | + | 48.8731i | 0.433398 | + | 1.61746i | ||||
\(914\) | 4.34002 | − | 7.51714i | 0.143555 | − | 0.248645i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.90279 | 0.161993 | ||||||||
\(917\) | −9.90825 | − | 6.08943i | −0.327199 | − | 0.201091i | ||||
\(918\) | 16.9188 | + | 6.94117i | 0.558403 | + | 0.229093i | ||||
\(919\) | 37.9008 | − | 21.8821i | 1.25023 | − | 0.721822i | 0.279077 | − | 0.960269i | \(-0.409971\pi\) |
0.971156 | + | 0.238446i | \(0.0766381\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −43.6742 | − | 18.0329i | −1.43911 | − | 0.594204i | ||||
\(922\) | −9.65528 | + | 36.0340i | −0.317980 | + | 1.18672i | ||||
\(923\) | −24.0836 | − | 24.0836i | −0.792722 | − | 0.792722i | ||||
\(924\) | −0.764174 | + | 4.81954i | −0.0251395 | + | 0.158551i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 6.22899 | − | 3.59631i | 0.204697 | − | 0.118182i | ||||
\(927\) | 26.3074 | − | 15.2676i | 0.864049 | − | 0.501455i | ||||
\(928\) | −0.203350 | − | 0.758913i | −0.00667529 | − | 0.0249125i | ||||
\(929\) | −22.7261 | − | 39.3627i | −0.745619 | − | 1.29145i | −0.949905 | − | 0.312539i | \(-0.898821\pi\) |
0.204286 | − | 0.978911i | \(-0.434513\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.715130 | + | 13.0017i | −0.0234375 | + | 0.426113i | ||||
\(932\) | −2.23093 | + | 2.23093i | −0.0730765 | + | 0.0730765i | ||||
\(933\) | 43.5706 | + | 5.68631i | 1.42644 | + | 0.186161i | ||||
\(934\) | 9.38455 | + | 5.41817i | 0.307072 | + | 0.177288i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −14.0047 | + | 14.0679i | −0.457758 | + | 0.459823i | ||||
\(937\) | 28.5393 | + | 28.5393i | 0.932338 | + | 0.932338i | 0.997852 | − | 0.0655135i | \(-0.0208685\pi\) |
−0.0655135 | + | 0.997852i | \(0.520869\pi\) | |||||||
\(938\) | −14.9865 | − | 27.6871i | −0.489327 | − | 0.904015i | ||||
\(939\) | −42.0557 | + | 5.58489i | −1.37244 | + | 0.182256i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −1.35797 | − | 0.784024i | −0.0442686 | − | 0.0255585i | 0.477702 | − | 0.878522i | \(-0.341470\pi\) |
−0.521971 | + | 0.852963i | \(0.674803\pi\) | |||||||
\(942\) | −39.3484 | + | 16.3505i | −1.28204 | + | 0.532729i | ||||
\(943\) | −0.735129 | − | 0.196977i | −0.0239391 | − | 0.00641446i | ||||
\(944\) | 1.75179 | 0.0570160 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −55.2334 | −1.79579 | ||||||||
\(947\) | 39.2036 | + | 10.5046i | 1.27395 | + | 0.341353i | 0.831542 | − | 0.555462i | \(-0.187459\pi\) |
0.442405 | + | 0.896815i | \(0.354125\pi\) | |||||||
\(948\) | 2.20336 | − | 0.915568i | 0.0715619 | − | 0.0297363i | ||||
\(949\) | 5.55865 | + | 3.20929i | 0.180441 | + | 0.104178i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −20.6921 | + | 2.74786i | −0.670989 | + | 0.0891055i | ||||
\(952\) | −21.1537 | − | 0.581318i | −0.685595 | − | 0.0188406i | ||||
\(953\) | 31.1034 | + | 31.1034i | 1.00754 | + | 1.00754i | 0.999971 | + | 0.00756809i | \(0.00240902\pi\) |
0.00756809 | + | 0.999971i | \(0.497591\pi\) | |||||||
\(954\) | −5.35519 | + | 5.37935i | −0.173381 | + | 0.174163i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 5.67923 | + | 3.27890i | 0.183679 | + | 0.106047i | ||||
\(957\) | −3.44202 | − | 0.449212i | −0.111265 | − | 0.0145209i | ||||
\(958\) | 20.1961 | − | 20.1961i | 0.652507 | − | 0.652507i | ||||
\(959\) | −12.7849 | + | 12.1010i | −0.412846 | + | 0.390762i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −21.3320 | − | 36.9480i | −0.688127 | − | 1.19187i | ||||
\(962\) | 5.15430 | + | 19.2361i | 0.166181 | + | 0.620197i | ||||
\(963\) | −4.58667 | + | 2.66189i | −0.147803 | + | 0.0857784i | ||||
\(964\) | 0.334018 | − | 0.192845i | 0.0107580 | − | 0.00621113i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −13.8735 | + | 5.32286i | −0.446373 | + | 0.171260i | ||||
\(967\) | 4.87814 | + | 4.87814i | 0.156870 | + | 0.156870i | 0.781178 | − | 0.624308i | \(-0.214619\pi\) |
−0.624308 | + | 0.781178i | \(0.714619\pi\) | |||||||
\(968\) | 3.28767 | − | 12.2697i | 0.105670 | − | 0.394365i | ||||
\(969\) | 7.97469 | + | 3.29272i | 0.256184 | + | 0.105777i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 23.7059 | − | 13.6866i | 0.760759 | − | 0.439224i | −0.0688092 | − | 0.997630i | \(-0.521920\pi\) |
0.829568 | + | 0.558405i | \(0.188587\pi\) | |||||||
\(972\) | −0.531058 | + | 4.21697i | −0.0170337 | + | 0.135259i | ||||
\(973\) | −28.7249 | + | 15.5483i | −0.920879 | + | 0.498455i | ||||
\(974\) | 11.8931 | 0.381080 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −8.63513 | + | 14.9565i | −0.276404 | + | 0.478745i | ||||
\(977\) | −0.0811448 | − | 0.302836i | −0.00259605 | − | 0.00968860i | 0.964616 | − | 0.263660i | \(-0.0849297\pi\) |
−0.967212 | + | 0.253971i | \(0.918263\pi\) | |||||||
\(978\) | −29.4048 | − | 3.83756i | −0.940261 | − | 0.122712i | ||||
\(979\) | 44.3287i | 1.41675i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −15.5695 | + | 4.20940i | −0.497094 | + | 0.134396i | ||||
\(982\) | −9.83598 | + | 36.7084i | −0.313879 | + | 1.17141i | ||||
\(983\) | −52.5738 | + | 14.0871i | −1.67684 | + | 0.449309i | −0.966943 | − | 0.254992i | \(-0.917927\pi\) |
−0.709901 | + | 0.704301i | \(0.751260\pi\) | |||||||
\(984\) | −0.609051 | + | 1.47507i | −0.0194158 | + | 0.0470236i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | − | 1.80598i | − | 0.0575143i | ||||||
\(987\) | −14.2462 | − | 19.6152i | −0.453462 | − | 0.624358i | ||||
\(988\) | −0.794476 | + | 0.794476i | −0.0252756 | + | 0.0252756i | ||||
\(989\) | 13.2744 | + | 22.9920i | 0.422102 | + | 0.731103i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.87907 | + | 4.98669i | −0.0914565 | + | 0.158407i | −0.908124 | − | 0.418701i | \(-0.862486\pi\) |
0.816668 | + | 0.577108i | \(0.195819\pi\) | |||||||
\(992\) | −12.6932 | − | 3.40114i | −0.403011 | − | 0.107986i | ||||
\(993\) | 13.4067 | + | 10.2634i | 0.425448 | + | 0.325698i | ||||
\(994\) | −52.0017 | + | 12.4134i | −1.64939 | + | 0.393728i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −3.73001 | − | 4.84974i | −0.118190 | − | 0.153670i | ||||
\(997\) | 34.8844 | − | 9.34724i | 1.10480 | − | 0.296030i | 0.340082 | − | 0.940396i | \(-0.389545\pi\) |
0.764717 | + | 0.644366i | \(0.222879\pi\) | |||||||
\(998\) | −40.9454 | + | 10.9713i | −1.29610 | + | 0.347290i | ||||
\(999\) | 28.2702 | + | 21.5413i | 0.894430 | + | 0.681536i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))