Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [920,2,Mod(17,920)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(920, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 0, 11, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("920.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 920 = 2^{3} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 920.bv (of order \(44\), degree \(20\), 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: | \(7.34623698596\) |
Analytic rank: | \(0\) |
Dimension: | \(720\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 17.18 | ||
Character | \(\chi\) | \(=\) | 920.17 |
Dual form | 920.2.bv.a.433.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(281\) | \(461\) | \(737\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{22}\right)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.0410298 | + | 0.0224040i | −0.0236886 | + | 0.0129349i | −0.491050 | − | 0.871132i | \(-0.663387\pi\) |
0.467361 | + | 0.884067i | \(0.345205\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.288669 | + | 2.21736i | −0.129097 | + | 0.991632i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.73059 | + | 2.31180i | 0.654101 | + | 0.873777i | 0.997867 | − | 0.0652785i | \(-0.0207936\pi\) |
−0.343766 | + | 0.939055i | \(0.611703\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.62074 | + | 2.52192i | −0.540247 | + | 0.840641i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.565611 | − | 0.258306i | 0.170538 | − | 0.0778822i | −0.328317 | − | 0.944568i | \(-0.606481\pi\) |
0.498855 | + | 0.866686i | \(0.333754\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.890094 | − | 0.666316i | −0.246868 | − | 0.184803i | 0.468677 | − | 0.883369i | \(-0.344731\pi\) |
−0.715545 | + | 0.698567i | \(0.753822\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.0378336 | − | 0.0974451i | −0.00976858 | − | 0.0251602i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.149145 | − | 2.08532i | −0.0361730 | − | 0.505765i | −0.982950 | − | 0.183874i | \(-0.941136\pi\) |
0.946777 | − | 0.321891i | \(-0.104318\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.43969 | + | 1.66149i | 0.330287 | + | 0.381171i | 0.896467 | − | 0.443110i | \(-0.146125\pi\) |
−0.566180 | + | 0.824281i | \(0.691579\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.122799 | − | 0.0560805i | −0.0267970 | − | 0.0122378i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.23404 | + | 2.25231i | −0.882859 | + | 0.469639i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.83334 | − | 1.28017i | −0.966668 | − | 0.256033i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.0200025 | − | 0.279672i | 0.00384949 | − | 0.0538229i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.86944 | − | 1.61988i | −0.347145 | − | 0.300803i | 0.463783 | − | 0.885949i | \(-0.346492\pi\) |
−0.810928 | + | 0.585146i | \(0.801037\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.11526 | + | 2.38286i | −1.45754 | + | 0.427974i | −0.912028 | − | 0.410127i | \(-0.865484\pi\) |
−0.545516 | + | 0.838101i | \(0.683666\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.0174198 | + | 0.0232702i | −0.00303241 | + | 0.00405082i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −5.62564 | + | 3.16999i | −0.950907 | + | 0.535826i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.876858 | + | 0.190749i | −0.144155 | + | 0.0313589i | −0.284064 | − | 0.958805i | \(-0.591683\pi\) |
0.139909 | + | 0.990164i | \(0.455319\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.0514485 | + | 0.00739718i | 0.00823836 | + | 0.00118450i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.19326 | − | 3.98017i | 0.967225 | − | 0.621597i | 0.0412362 | − | 0.999149i | \(-0.486870\pi\) |
0.925988 | + | 0.377552i | \(0.123234\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.73894 | + | 5.01600i | 0.417685 | + | 0.764933i | 0.998804 | − | 0.0488854i | \(-0.0155669\pi\) |
−0.581119 | + | 0.813818i | \(0.697385\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −5.12414 | − | 4.32176i | −0.763862 | − | 0.644250i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.83333 | + | 1.83333i | 0.267418 | + | 0.267418i | 0.828059 | − | 0.560641i | \(-0.189445\pi\) |
−0.560641 | + | 0.828059i | \(0.689445\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.377336 | + | 1.28509i | −0.0539051 | + | 0.183584i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.0528390 | + | 0.0822190i | 0.00739893 | + | 0.0115130i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.56327 | − | 1.91884i | 0.352092 | − | 0.263573i | −0.408561 | − | 0.912731i | \(-0.633969\pi\) |
0.760654 | + | 0.649158i | \(0.224879\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.409482 | + | 1.32873i | 0.0552145 | + | 0.179165i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.0962940 | − | 0.0359158i | −0.0127545 | − | 0.00475717i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −6.13247 | + | 0.881716i | −0.798379 | + | 0.114790i | −0.529418 | − | 0.848361i | \(-0.677590\pi\) |
−0.268962 | + | 0.963151i | \(0.586680\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.88373 | + | 13.2268i | 0.497260 | + | 1.69351i | 0.699884 | + | 0.714256i | \(0.253235\pi\) |
−0.202624 | + | 0.979257i | \(0.564947\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −8.63501 | + | 0.617588i | −1.08791 | + | 0.0778088i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.73440 | − | 1.78131i | 0.215126 | − | 0.220944i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.76778 | + | 12.7829i | 0.582477 | + | 1.56168i | 0.809082 | + | 0.587695i | \(0.199965\pi\) |
−0.226605 | + | 0.973987i | \(0.572763\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.123261 | − | 0.187271i | 0.0148389 | − | 0.0225448i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.404054 | + | 0.884756i | −0.0479524 | + | 0.105001i | −0.932092 | − | 0.362222i | \(-0.882018\pi\) |
0.884139 | + | 0.467223i | \(0.154746\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.80740 | + | 0.272310i | 0.445622 | + | 0.0318715i | 0.292348 | − | 0.956312i | \(-0.405564\pi\) |
0.153275 | + | 0.988184i | \(0.451018\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.226992 | − | 0.0557611i | 0.0262108 | − | 0.00643873i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.57599 | + | 0.860556i | 0.179601 | + | 0.0980695i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.310067 | + | 2.15657i | 0.0348853 | + | 0.242633i | 0.999801 | − | 0.0199256i | \(-0.00634293\pi\) |
−0.964916 | + | 0.262558i | \(0.915434\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.73057 | − | 8.16880i | −0.414507 | − | 0.907645i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.23428 | + | 10.2708i | 0.245244 | + | 1.12737i | 0.920792 | + | 0.390053i | \(0.127543\pi\) |
−0.675548 | + | 0.737316i | \(0.736093\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.66696 | + | 0.271261i | 0.506203 | + | 0.0294224i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.112994 | + | 0.0245804i | 0.0121143 | + | 0.00263530i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −9.66802 | − | 2.83879i | −1.02481 | − | 0.300911i | −0.274210 | − | 0.961670i | \(-0.588416\pi\) |
−0.750598 | + | 0.660759i | \(0.770235\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 3.21083i | − | 0.336587i | ||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.279582 | − | 0.279582i | 0.0289913 | − | 0.0289913i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −4.09970 | + | 2.71268i | −0.420621 | + | 0.278315i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.33842 | − | 10.7495i | 0.237430 | − | 1.09145i | −0.691841 | − | 0.722050i | \(-0.743200\pi\) |
0.929271 | − | 0.369399i | \(-0.120436\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.265282 | + | 1.84507i | −0.0266618 | + | 0.185437i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.59659 | + | 2.31139i | 0.357874 | + | 0.229991i | 0.707206 | − | 0.707007i | \(-0.249955\pi\) |
−0.349332 | + | 0.936999i | \(0.613592\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.31849 | − | 3.53500i | 0.129915 | − | 0.348314i | −0.855664 | − | 0.517531i | \(-0.826851\pi\) |
0.985579 | + | 0.169217i | \(0.0541239\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.159799 | − | 0.256101i | 0.0155948 | − | 0.0249929i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.94846 | − | 7.23107i | 0.381712 | − | 0.699054i | −0.614222 | − | 0.789133i | \(-0.710530\pi\) |
0.995935 | + | 0.0900793i | \(0.0287121\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.46629 | + | 10.9247i | −0.906706 | + | 1.04639i | 0.0920111 | + | 0.995758i | \(0.470670\pi\) |
−0.998717 | + | 0.0506366i | \(0.983875\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.0317038 | − | 0.0274715i | 0.00300919 | − | 0.00260748i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.4213 | − | 4.63290i | 1.16850 | − | 0.435826i | 0.311046 | − | 0.950395i | \(-0.399321\pi\) |
0.857449 | + | 0.514569i | \(0.172048\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.77193 | − | 10.0386i | −0.351735 | − | 0.936100i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.12301 | − | 1.16482i | 0.288722 | − | 0.107688i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.56273 | − | 3.95363i | 0.418265 | − | 0.362429i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.95027 | + | 8.02104i | −0.631843 | + | 0.729186i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.164937 | + | 0.302059i | −0.0148719 | + | 0.0272358i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.23382 | − | 10.3477i | 0.378685 | − | 0.925526i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.33011 | − | 6.24728i | 0.206764 | − | 0.554356i | −0.791630 | − | 0.611000i | \(-0.790767\pi\) |
0.998394 | + | 0.0566443i | \(0.0180401\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.224757 | − | 0.144442i | −0.0197887 | − | 0.0127174i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.65287 | + | 11.4959i | −0.144412 | + | 1.00440i | 0.780753 | + | 0.624839i | \(0.214836\pi\) |
−0.925165 | + | 0.379565i | \(0.876074\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.34951 | + | 6.20361i | −0.117018 | + | 0.537921i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.614359 | + | 0.125086i | 0.0528756 | + | 0.0107657i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 13.8908 | − | 13.8908i | 1.18677 | − | 1.18677i | 0.208819 | − | 0.977954i | \(-0.433038\pi\) |
0.977954 | − | 0.208819i | \(-0.0669621\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 12.3148i | − | 1.04453i | −0.852784 | − | 0.522264i | \(-0.825088\pi\) | ||
0.852784 | − | 0.522264i | \(-0.174912\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.116295 | − | 0.0341473i | −0.00979380 | − | 0.00287572i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.675560 | − | 0.146959i | −0.0564932 | − | 0.0122893i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.13149 | − | 3.67760i | 0.343102 | − | 0.305408i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.0133091 | − | 0.0611807i | −0.00109771 | − | 0.00504610i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.32109 | − | 7.27217i | −0.272074 | − | 0.595759i | 0.723439 | − | 0.690389i | \(-0.242561\pi\) |
−0.995513 | + | 0.0946298i | \(0.969833\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.34577 | + | 23.2704i | 0.272275 | + | 1.89372i | 0.424593 | + | 0.905384i | \(0.360417\pi\) |
−0.152318 | + | 0.988332i | \(0.548674\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 5.50075 | + | 3.00364i | 0.444709 | + | 0.242830i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.94101 | − | 18.6823i | −0.236228 | − | 1.50060i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.07076 | + | 0.434190i | 0.484500 | + | 0.0346521i | 0.311453 | − | 0.950262i | \(-0.399184\pi\) |
0.173047 | + | 0.984914i | \(0.444639\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.0621809 | + | 0.136157i | −0.00493127 | + | 0.0107980i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −12.5343 | − | 5.89042i | −0.987838 | − | 0.464230i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.82382 | + | 7.57095i | 0.221179 | + | 0.593003i | 0.999387 | − | 0.0350031i | \(-0.0111441\pi\) |
−0.778209 | + | 0.628006i | \(0.783871\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.0465697 | − | 0.0453434i | −0.00362545 | − | 0.00352998i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 8.28055 | − | 0.592237i | 0.640768 | − | 0.0458287i | 0.252825 | − | 0.967512i | \(-0.418640\pi\) |
0.387943 | + | 0.921683i | \(0.373186\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.31423 | − | 11.2872i | −0.254941 | − | 0.868249i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −6.52350 | + | 0.937938i | −0.498864 | + | 0.0717259i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.43148 | − | 0.906895i | −0.184862 | − | 0.0689499i | 0.255329 | − | 0.966854i | \(-0.417816\pi\) |
−0.440190 | + | 0.897904i | \(0.645089\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.40504 | − | 13.3891i | −0.408583 | − | 1.01212i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.231860 | − | 0.173568i | 0.0174277 | − | 0.0130462i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.0260598 | − | 0.0405498i | −0.00194780 | − | 0.00303084i | 0.840278 | − | 0.542155i | \(-0.182392\pi\) |
−0.842226 | + | 0.539125i | \(0.818755\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.62901 | + | 5.54788i | −0.121083 | + | 0.412371i | −0.997619 | − | 0.0689653i | \(-0.978030\pi\) |
0.876536 | + | 0.481336i | \(0.159848\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.455681 | − | 0.455681i | −0.0336849 | − | 0.0336849i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.169836 | − | 1.99937i | −0.0124866 | − | 0.146997i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.623010 | − | 1.14096i | −0.0455590 | − | 0.0834350i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.681161 | − | 0.437756i | 0.0495472 | − | 0.0318420i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.15000 | + | 1.17179i | 0.589713 | + | 0.0847880i | 0.430710 | − | 0.902490i | \(-0.358263\pi\) |
0.159003 | + | 0.987278i | \(0.449172\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 15.1665 | − | 3.29926i | 1.09171 | − | 0.237486i | 0.369546 | − | 0.929212i | \(-0.379513\pi\) |
0.722160 | + | 0.691726i | \(0.243149\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.0312538 | + | 0.111944i | −0.00223813 | + | 0.00801651i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.65720 | − | 2.21376i | 0.118070 | − | 0.157724i | −0.737612 | − | 0.675225i | \(-0.764047\pi\) |
0.855683 | + | 0.517501i | \(0.173138\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 18.4366 | − | 5.41346i | 1.30693 | − | 0.383750i | 0.447173 | − | 0.894448i | \(-0.352431\pi\) |
0.859760 | + | 0.510698i | \(0.170613\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.482010 | − | 0.417664i | −0.0339983 | − | 0.0294597i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.509597 | − | 7.12509i | 0.0357667 | − | 0.500083i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.03764 | + | 14.8816i | 0.491530 | + | 1.03938i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.18214 | − | 14.3283i | 0.0821641 | − | 0.995888i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.24347 | + | 0.567876i | 0.0860129 | + | 0.0392808i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.83738 | + | 2.12045i | 0.126490 | + | 0.145978i | 0.815462 | − | 0.578811i | \(-0.196483\pi\) |
−0.688972 | + | 0.724788i | \(0.741938\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.00324377 | − | 0.0453538i | −0.000222259 | − | 0.00310759i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −11.9129 | + | 4.62525i | −0.812454 | + | 0.315439i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −19.5529 | − | 14.6371i | −1.32733 | − | 0.993630i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −0.162318 | + | 0.0741280i | −0.0109684 | + | 0.00500911i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.25673 | + | 1.95551i | −0.0845369 | + | 0.131542i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.49522 | + | 12.6841i | 0.635847 | + | 0.849392i | 0.996525 | − | 0.0832984i | \(-0.0265455\pi\) |
−0.360678 | + | 0.932691i | \(0.617455\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 11.0621 | − | 10.1145i | 0.737471 | − | 0.674299i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 11.4244 | − | 6.23822i | 0.758267 | − | 0.414045i | −0.0530949 | − | 0.998589i | \(-0.516909\pi\) |
0.811362 | + | 0.584544i | \(0.198727\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.27982 | 0.0845730 | 0.0422865 | − | 0.999106i | \(-0.486536\pi\) | ||||
0.0422865 | + | 0.999106i | \(0.486536\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.0839425 | −0.00552301 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −13.8859 | + | 7.58228i | −0.909696 | + | 0.496731i | −0.864719 | − | 0.502257i | \(-0.832503\pi\) |
−0.0449770 | + | 0.998988i | \(0.514321\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.59436 | + | 3.53591i | −0.299703 | + | 0.230658i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.0610377 | − | 0.0815368i | −0.00396482 | − | 0.00529638i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −4.50993 | + | 7.01758i | −0.291723 | + | 0.453930i | −0.955920 | − | 0.293628i | \(-0.905137\pi\) |
0.664197 | + | 0.747558i | \(0.268774\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −13.2858 | + | 6.06744i | −0.855816 | + | 0.390838i | −0.794488 | − | 0.607280i | \(-0.792261\pi\) |
−0.0613278 | + | 0.998118i | \(0.519534\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.00946 | + | 0.755673i | 0.0647570 | + | 0.0484765i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2.74057 | − | 1.20765i | −0.175089 | − | 0.0771541i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.174381 | − | 2.43817i | −0.0110956 | − | 0.155137i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.321779 | − | 0.371353i | −0.0203919 | − | 0.0235335i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 7.92879 | + | 3.62096i | 0.500461 | + | 0.228553i | 0.649618 | − | 0.760261i | \(-0.274929\pi\) |
−0.149157 | + | 0.988813i | \(0.547656\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.81304 | + | 2.36761i | −0.113985 | + | 0.148850i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.197562 | + | 0.0934287i | −0.0123718 | + | 0.00585073i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 1.47010 | − | 20.5547i | 0.0917025 | − | 1.28217i | −0.718297 | − | 0.695737i | \(-0.755078\pi\) |
0.809999 | − | 0.586431i | \(-0.199467\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.95845 | − | 1.69701i | −0.121692 | − | 0.105447i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 7.11507 | − | 2.08917i | 0.440412 | − | 0.129317i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 3.43557 | − | 4.58938i | 0.211846 | − | 0.282993i | −0.682014 | − | 0.731339i | \(-0.738896\pi\) |
0.893860 | + | 0.448346i | \(0.147987\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.51482 | + | 6.23760i | 0.215913 | + | 0.383172i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.460277 | − | 0.100127i | 0.0281685 | − | 0.00612769i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 5.04128 | + | 0.724827i | 0.307373 | + | 0.0441935i | 0.294275 | − | 0.955721i | \(-0.404922\pi\) |
0.0130973 | + | 0.999914i | \(0.495831\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 17.3028 | − | 11.1198i | 1.05107 | − | 0.675481i | 0.103369 | − | 0.994643i | \(-0.467038\pi\) |
0.947700 | + | 0.319162i | \(0.103401\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.0719355 | + | 0.131740i | 0.00435373 | + | 0.00797327i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −3.06447 | + | 0.524404i | −0.184794 | + | 0.0316228i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 19.5001 | + | 19.5001i | 1.17165 | + | 1.17165i | 0.981817 | + | 0.189831i | \(0.0607940\pi\) |
0.189831 | + | 0.981817i | \(0.439206\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 7.14336 | − | 24.3280i | 0.427662 | − | 1.45648i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −15.2584 | − | 23.7425i | −0.910239 | − | 1.41636i | −0.909200 | − | 0.416360i | \(-0.863306\pi\) |
−0.00103862 | − | 0.999999i | \(-0.500331\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.5953 | + | 7.93155i | −0.629826 | + | 0.471482i | −0.865876 | − | 0.500259i | \(-0.833238\pi\) |
0.236050 | + | 0.971741i | \(0.424147\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.107435 | − | 0.203150i | 0.00636392 | − | 0.0120336i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 19.9193 | + | 7.42952i | 1.17580 | + | 0.438551i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 12.5006 | − | 1.79732i | 0.735331 | − | 0.105725i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.144887 | + | 0.493441i | 0.00849345 | + | 0.0289260i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 15.8495 | − | 1.13358i | 0.925940 | − | 0.0662245i | 0.399781 | − | 0.916611i | \(-0.369086\pi\) |
0.526159 | + | 0.850386i | \(0.323632\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.184822 | − | 13.8524i | −0.0107608 | − | 0.806517i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.0609273 | − | 0.163352i | −0.00353536 | − | 0.00947867i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 5.26944 | + | 0.816442i | 0.304740 | + | 0.0472161i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6.85599 | + | 15.0125i | −0.395172 | + | 0.865307i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −0.199352 | − | 0.0142579i | −0.0114524 | − | 0.000819095i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −30.4496 | + | 4.79345i | −1.74354 | + | 0.274472i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −10.0122 | − | 5.46708i | −0.571427 | − | 0.312023i | 0.167431 | − | 0.985884i | \(-0.446453\pi\) |
−0.738858 | + | 0.673861i | \(0.764635\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.0251008 | + | 0.174580i | 0.00142794 | + | 0.00993151i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.59387 | + | 10.0592i | 0.260494 | + | 0.570403i | 0.994012 | − | 0.109267i | \(-0.0348503\pi\) |
−0.733518 | + | 0.679670i | \(0.762123\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.26733 | + | 15.0197i | 0.184681 | + | 0.848963i | 0.972472 | + | 0.233021i | \(0.0748610\pi\) |
−0.787791 | + | 0.615942i | \(0.788775\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 1.12325 | − | 19.3252i | 0.0632880 | − | 1.08885i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 23.1232 | + | 5.03014i | 1.29873 | + | 0.282521i | 0.808202 | − | 0.588905i | \(-0.200441\pi\) |
0.490526 | + | 0.871426i | \(0.336805\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.47580 | − | 0.433333i | −0.0826288 | − | 0.0242620i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.385151i | 0.0214970i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.25002 | − | 3.25002i | 0.180836 | − | 0.180836i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.44913 | + | 4.36000i | 0.191323 | + | 0.241849i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.143644 | − | 0.660320i | 0.00794353 | − | 0.0365158i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.06554 | + | 7.41101i | −0.0587453 | + | 0.408582i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.748852 | + | 0.481258i | 0.0411606 | + | 0.0264523i | 0.561059 | − | 0.827776i | \(-0.310394\pi\) |
−0.519899 | + | 0.854228i | \(0.674030\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.940106 | − | 2.52052i | 0.0515175 | − | 0.138124i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −29.7206 | + | 6.88183i | −1.62381 | + | 0.375995i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.29012 | − | 9.68813i | 0.288171 | − | 0.527746i | −0.692987 | − | 0.720950i | \(-0.743706\pi\) |
0.981159 | + | 0.193203i | \(0.0618877\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.405847 | + | 0.468373i | −0.0220426 | + | 0.0254385i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.97458 | + | 3.44399i | −0.215235 | + | 0.186503i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.3161 | − | 5.71262i | 0.826994 | − | 0.308453i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.379665 | + | 0.327374i | 0.0204405 | + | 0.0176252i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 7.53487 | − | 2.81036i | 0.404493 | − | 0.150868i | −0.138979 | − | 0.990295i | \(-0.544382\pi\) |
0.543472 | + | 0.839427i | \(0.317109\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −19.0865 | + | 16.5386i | −1.02168 | + | 0.885289i | −0.993445 | − | 0.114313i | \(-0.963533\pi\) |
−0.0282326 | + | 0.999601i | \(0.508988\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.204154 | + | 0.235606i | −0.0108969 | + | 0.0125757i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −13.3304 | + | 24.4128i | −0.709507 | + | 1.29936i | 0.235360 | + | 0.971908i | \(0.424373\pi\) |
−0.944866 | + | 0.327456i | \(0.893809\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.84518 | − | 1.15133i | −0.0979320 | − | 0.0611065i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.0986311 | + | 0.264440i | −0.00522011 | + | 0.0139957i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −15.5908 | − | 10.0196i | −0.822853 | − | 0.528816i | 0.0601462 | − | 0.998190i | \(-0.480843\pi\) |
−0.883000 | + | 0.469374i | \(0.844480\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.01614 | − | 14.0226i | 0.106113 | − | 0.738030i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.105465 | − | 0.484816i | 0.00553549 | − | 0.0254462i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.70289 | + | 8.36375i | −0.0891333 | + | 0.437779i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −14.6761 | + | 14.6761i | −0.766085 | + | 0.766085i | −0.977415 | − | 0.211330i | \(-0.932221\pi\) |
0.211330 | + | 0.977415i | \(0.432221\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 22.0697i | 1.14890i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 8.87194 | + | 2.60504i | 0.460608 | + | 0.135247i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 9.80702 | + | 2.13339i | 0.507788 | + | 0.110463i | 0.459159 | − | 0.888354i | \(-0.348151\pi\) |
0.0486298 | + | 0.998817i | \(0.484515\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.0581165 | + | 0.519419i | 0.00300112 | + | 0.0268227i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.584625 | + | 2.68748i | 0.0301097 | + | 0.138412i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −9.57218 | − | 20.9601i | −0.491690 | − | 1.07665i | −0.979082 | − | 0.203467i | \(-0.934779\pi\) |
0.487392 | − | 0.873183i | \(-0.337948\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.0443597 | + | 0.308529i | 0.00227262 | + | 0.0158064i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −21.5957 | − | 11.7921i | −1.10349 | − | 0.602549i | −0.179032 | − | 0.983843i | \(-0.557297\pi\) |
−0.924454 | + | 0.381294i | \(0.875479\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.36310 | + | 3.24612i | −0.120435 | + | 0.165437i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −17.0891 | − | 1.22224i | −0.868687 | − | 0.0621297i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −5.42505 | + | 11.8792i | −0.275061 | + | 0.602300i | −0.995866 | − | 0.0908387i | \(-0.971045\pi\) |
0.720805 | + | 0.693138i | \(0.243773\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.32828 | + | 8.49342i | 0.269463 | + | 0.429531i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.189738 | − | 0.508707i | −0.00957101 | − | 0.0256609i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −4.87138 | + | 0.0649952i | −0.245106 | + | 0.00327026i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −7.22169 | + | 0.516506i | −0.362446 | + | 0.0259227i | −0.251375 | − | 0.967890i | \(-0.580883\pi\) |
−0.111071 | + | 0.993812i | \(0.535428\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.0836153 | − | 0.284768i | −0.00418600 | − | 0.0142562i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −37.5899 | + | 5.40462i | −1.87715 | + | 0.269894i | −0.983774 | − | 0.179413i | \(-0.942580\pi\) |
−0.893377 | + | 0.449307i | \(0.851671\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 8.81108 | + | 3.28636i | 0.438911 | + | 0.163705i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 19.1900 | − | 5.91391i | 0.953561 | − | 0.293865i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.446689 | + | 0.334387i | −0.0221416 | + | 0.0165750i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 8.61194 | + | 13.4004i | 0.425833 | + | 0.662609i | 0.986185 | − | 0.165645i | \(-0.0529707\pi\) |
−0.560352 | + | 0.828254i | \(0.689334\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.258728 | + | 0.881148i | −0.0127621 | + | 0.0434638i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −12.6511 | − | 12.6511i | −0.622521 | − | 0.622521i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −23.4190 | + | 1.98932i | −1.14959 | + | 0.0976520i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.275901 | + | 0.505274i | 0.0135109 | + | 0.0247434i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 10.2159 | − | 6.56534i | 0.499078 | − | 0.320738i | −0.266770 | − | 0.963760i | \(-0.585956\pi\) |
0.765847 | + | 0.643023i | \(0.222320\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 24.3000 | + | 3.49382i | 1.18431 | + | 0.170278i | 0.706194 | − | 0.708018i | \(-0.250410\pi\) |
0.478117 | + | 0.878296i | \(0.341320\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −7.59485 | + | 1.65216i | −0.369274 | + | 0.0803307i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −1.94869 | + | 10.2700i | −0.0945254 | + | 0.498169i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −23.8564 | + | 31.8685i | −1.15449 | + | 1.54222i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.0310106 | − | 0.00910553i | 0.00149721 | − | 0.000439619i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −4.43914 | − | 3.84653i | −0.213826 | − | 0.185281i | 0.541362 | − | 0.840790i | \(-0.317909\pi\) |
−0.755188 | + | 0.655509i | \(0.772454\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.16911 | + | 16.3463i | −0.0561840 | + | 0.785555i | 0.888770 | + | 0.458353i | \(0.151560\pi\) |
−0.944954 | + | 0.327202i | \(0.893894\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.0871215 | + | 0.243453i | −0.00417716 | + | 0.0116727i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −9.83787 | − | 3.79218i | −0.470609 | − | 0.181405i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 8.36448 | + | 3.81993i | 0.399215 | + | 0.182315i | 0.604897 | − | 0.796303i | \(-0.293214\pi\) |
−0.205682 | + | 0.978619i | \(0.565941\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.62933 | − | 3.03440i | −0.125206 | − | 0.144495i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −1.94384 | − | 27.1784i | −0.0923546 | − | 1.29129i | −0.806477 | − | 0.591265i | \(-0.798629\pi\) |
0.714122 | − | 0.700021i | \(-0.246826\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 9.08547 | − | 20.6180i | 0.430692 | − | 0.977386i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.299189 | + | 0.223970i | 0.0141512 | + | 0.0105934i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.78375 | + | 4.46809i | −0.461724 | + | 0.210862i | −0.632675 | − | 0.774417i | \(-0.718043\pi\) |
0.170951 | + | 0.985279i | \(0.445316\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.47488 | − | 3.85098i | 0.116537 | − | 0.181336i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.658626 | − | 0.879821i | −0.0309449 | − | 0.0413376i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 7.11957 | + | 0.926870i | 0.333770 | + | 0.0434523i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −19.2356 | + | 10.5034i | −0.899804 | + | 0.491330i | −0.861397 | − | 0.507932i | \(-0.830410\pi\) |
−0.0384067 | + | 0.999262i | \(0.512228\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.586190 | −0.0273610 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 5.44735 | 0.253709 | 0.126854 | − | 0.991921i | \(-0.459512\pi\) | ||||
0.126854 | + | 0.991921i | \(0.459512\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.0218 | + | 7.65647i | −0.651647 | + | 0.355826i | −0.770825 | − | 0.637046i | \(-0.780156\pi\) |
0.119178 | + | 0.992873i | \(0.461974\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.539227 | + | 0.700641i | 0.0250060 | + | 0.0324914i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 20.4468 | + | 27.3138i | 0.946166 | + | 1.26393i | 0.964496 | + | 0.264098i | \(0.0850741\pi\) |
−0.0183300 | + | 0.999832i | \(0.505835\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −21.3004 | + | 33.1441i | −0.983562 | + | 1.53045i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.258810 | + | 0.118195i | −0.0119253 | + | 0.00544612i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 2.84484 | + | 2.12962i | 0.130806 | + | 0.0979200i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.83152 | − | 9.87357i | −0.221685 | − | 0.453030i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.684768 | + | 9.57431i | 0.0313534 | + | 0.438378i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −7.08995 | − | 8.18224i | −0.323948 | − | 0.373856i | 0.570293 | − | 0.821441i | \(-0.306830\pi\) |
−0.894241 | + | 0.447585i | \(0.852284\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.907585 | + | 0.414480i | 0.0413823 | + | 0.0188987i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.646248 | − | 0.0391346i | 0.0294053 | − | 0.00178068i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 23.1605 | + | 8.28816i | 1.05166 | + | 0.376346i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.24307 | − | 17.3804i | 0.0563289 | − | 0.787581i | −0.888263 | − | 0.459335i | \(-0.848088\pi\) |
0.944592 | − | 0.328246i | \(-0.106458\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −0.285480 | − | 0.247370i | −0.0129099 | − | 0.0111865i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.92733 | − | 2.62130i | 0.402885 | − | 0.118298i | −0.0740112 | − | 0.997257i | \(-0.523580\pi\) |
0.476896 | + | 0.878960i | \(0.341762\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.09915 | + | 4.13997i | −0.139579 | + | 0.186455i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.01461 | − | 1.12084i | −0.180443 | − | 0.0503780i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −2.74463 | + | 0.597057i | −0.123113 | + | 0.0267817i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −8.96005 | − | 1.28826i | −0.401107 | − | 0.0576705i | −0.0611905 | − | 0.998126i | \(-0.519490\pi\) |
−0.339916 | + | 0.940456i | \(0.610399\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.326481 | + | 0.209817i | −0.0145861 | + | 0.00937392i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 2.60394 | + | 4.76877i | 0.116104 | + | 0.212629i | 0.929268 | − | 0.369406i | \(-0.120439\pi\) |
−0.813164 | + | 0.582034i | \(0.802257\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6.16339 | + | 7.30769i | −0.274267 | + | 0.325188i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.388862 | + | 0.388862i | 0.0172699 | + | 0.0172699i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −7.09233 | + | 24.1543i | −0.314362 | + | 1.07062i | 0.639104 | + | 0.769120i | \(0.279305\pi\) |
−0.953466 | + | 0.301499i | \(0.902513\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.95951 | + | 9.27318i | 0.263633 | + | 0.410222i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.493469 | − | 0.369406i | 0.0217872 | − | 0.0163097i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 7.45776 | + | 3.94401i | 0.328628 | + | 0.173794i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.51051 | + | 0.563391i | 0.0664321 | + | 0.0247779i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.120081 | − | 0.0172651i | 0.00527098 | − | 0.000757853i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −10.1091 | − | 34.4283i | −0.442886 | − | 1.50833i | −0.814621 | − | 0.579994i | \(-0.803055\pi\) |
0.371735 | − | 0.928339i | \(-0.378763\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 40.2388 | − | 2.87793i | 1.75952 | − | 0.125843i | 0.846142 | − | 0.532958i | \(-0.178920\pi\) |
0.913377 | + | 0.407115i | \(0.133465\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.521738 | + | 0.428260i | 0.0227705 | + | 0.0186908i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 6.17938 | + | 16.5676i | 0.269178 | + | 0.721694i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 12.8542 | − | 19.0727i | 0.558879 | − | 0.829250i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 7.71552 | − | 16.8946i | 0.334825 | − | 0.733165i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −8.16463 | − | 0.583946i | −0.353649 | − | 0.0252935i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 14.8941 | + | 10.8425i | 0.643926 | + | 0.468764i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0.00197771 | + | 0.00107991i | 8.53444e−5 | + | 4.66015e-5i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.118520 | + | 0.824327i | 0.00510503 | + | 0.0355063i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.00737 | + | 19.7234i | 0.387257 | + | 0.847975i | 0.998405 | + | 0.0564583i | \(0.0179808\pi\) |
−0.611148 | + | 0.791516i | \(0.709292\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.0574569 | − | 0.264125i | −0.00246571 | − | 0.0113347i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −21.4913 | − | 24.1438i | −0.920585 | − | 1.03420i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.6625 | + | 2.31948i | 0.455895 | + | 0.0991738i | 0.434648 | − | 0.900600i | \(-0.356873\pi\) |
0.0212467 | + | 0.999774i | \(0.493236\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −39.6514 | − | 11.6427i | −1.69228 | − | 0.496898i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 5.43816i | − | 0.231673i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.44894 | + | 4.44894i | −0.189188 | + | 0.189188i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.0517622 | + | 0.0782288i | 0.00219718 | + | 0.00332063i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.20022 | − | 10.1142i | 0.0932263 | − | 0.428554i | −0.906750 | − | 0.421669i | \(-0.861445\pi\) |
0.999976 | − | 0.00688568i | \(-0.00219180\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.904324 | − | 6.28971i | 0.0382488 | − | 0.266027i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.0511240 | + | 0.0328554i | 0.00215846 | + | 0.00138716i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −5.77770 | + | 15.4906i | −0.243501 | + | 0.652851i | −0.999999 | − | 0.00114429i | \(-0.999636\pi\) |
0.756498 | + | 0.653996i | \(0.226908\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.68714 | + | 28.8798i | 0.281330 | + | 1.21498i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 12.4285 | − | 22.7611i | 0.521949 | − | 0.955878i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −3.37859 | + | 3.89910i | −0.141638 | + | 0.163459i | −0.822136 | − | 0.569291i | \(-0.807218\pi\) |
0.680498 | + | 0.732750i | \(0.261763\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −13.9138 | + | 12.0564i | −0.582275 | + | 0.504544i | −0.895456 | − | 0.445149i | \(-0.853151\pi\) |
0.313182 | + | 0.949693i | \(0.398605\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −0.360646 | + | 0.134514i | −0.0150662 | + | 0.00561940i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 23.3479 | − | 5.46590i | 0.973674 | − | 0.227944i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 29.6682 | − | 11.0657i | 1.23510 | − | 0.460670i | 0.354738 | − | 0.934966i | \(-0.384570\pi\) |
0.880365 | + | 0.474296i | \(0.157297\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −0.548361 | + | 0.475158i | −0.0227891 | + | 0.0197469i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −19.8774 | + | 22.9398i | −0.824654 | + | 0.951702i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.954166 | − | 1.74743i | 0.0395175 | − | 0.0723710i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1.68131 | + | 7.26107i | 0.0695135 | + | 0.300208i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −6.12545 | + | 16.4230i | −0.252824 | + | 0.677848i | 0.747089 | + | 0.664723i | \(0.231451\pi\) |
−0.999914 | + | 0.0131249i | \(0.995822\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −15.6425 | − | 10.0528i | −0.644539 | − | 0.414220i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.0183976 | + | 0.127958i | −0.000756775 | + | 0.00526349i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −0.0135628 | + | 0.0623474i | −0.000556959 | + | 0.00256030i | −0.977425 | − | 0.211285i | \(-0.932235\pi\) |
0.976868 | + | 0.213845i | \(0.0685988\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.44949 | + | 11.2585i | 0.305399 | + | 0.461553i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.635166 | + | 0.635166i | −0.0259956 | + | 0.0259956i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 22.7964i | 0.931437i | 0.884933 | + | 0.465719i | \(0.154204\pi\) | ||||
−0.884933 | + | 0.465719i | \(0.845796\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 35.2693 | + | 10.3560i | 1.43867 | + | 0.422430i | 0.905777 | − | 0.423755i | \(-0.139288\pi\) |
0.532888 | + | 0.846186i | \(0.321107\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −39.9649 | − | 8.69382i | −1.62749 | − | 0.354040i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −15.7792 | − | 17.7267i | −0.641515 | − | 0.720691i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 6.27596 | + | 28.8501i | 0.254733 | + | 1.17099i | 0.909678 | + | 0.415313i | \(0.136328\pi\) |
−0.654945 | + | 0.755676i | \(0.727308\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.138722 | + | 0.303758i | 0.00562129 | + | 0.0123089i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.410258 | − | 2.85341i | −0.0165973 | − | 0.115437i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −22.4381 | − | 12.2521i | −0.906267 | − | 0.494859i | −0.0426970 | − | 0.999088i | \(-0.513595\pi\) |
−0.863570 | + | 0.504229i | \(0.831777\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.622161 | − | 0.452919i | −0.0250879 | − | 0.0182635i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −30.0344 | − | 2.14810i | −1.20914 | − | 0.0864793i | −0.547828 | − | 0.836591i | \(-0.684545\pi\) |
−0.661311 | + | 0.750112i | \(0.730000\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14.7832 | + | 32.3707i | −0.594188 | + | 1.30109i | 0.338691 | + | 0.940898i | \(0.390016\pi\) |
−0.932878 | + | 0.360192i | \(0.882711\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.545216 | + | 1.22920i | 0.0218788 | + | 0.0493259i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −10.1687 | − | 27.2633i | −0.407399 | − | 1.09228i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 21.7223 | + | 12.3750i | 0.868894 | + | 0.494998i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.0637422 | + | 0.00455893i | −0.00254562 | + | 0.000182066i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.528552 | + | 1.80008i | 0.0210748 | + | 0.0717740i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −44.0286 | + | 6.33036i | −1.75275 | + | 0.252008i | −0.942531 | − | 0.334118i | \(-0.891562\pi\) |
−0.810220 | + | 0.586125i | \(0.800653\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.122894 | − | 0.0458371i | −0.00488459 | − | 0.00182186i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 13.1798 | + | 6.97009i | 0.523025 | + | 0.276600i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.19214 | − | 0.892423i | 0.0472342 | − | 0.0353591i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −1.57642 | − | 2.45295i | −0.0623621 | − | 0.0970373i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 3.57248 | − | 12.1667i | 0.141104 | − | 0.480557i | −0.858368 | − | 0.513034i | \(-0.828521\pi\) |
0.999472 | + | 0.0324770i | \(0.0103396\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 25.5764 | + | 25.5764i | 1.00863 | + | 1.00863i | 0.999962 | + | 0.00867061i | \(0.00275998\pi\) |
0.00867061 | + | 0.999962i | \(0.497240\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.385161 | − | 0.456670i | 0.0151657 | − | 0.0179814i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 4.19382 | + | 7.68042i | 0.164876 | + | 0.301948i | 0.947035 | − | 0.321131i | \(-0.104063\pi\) |
−0.782158 | + | 0.623080i | \(0.785881\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.24084 | + | 2.08276i | −0.127214 | + | 0.0817555i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.13018 | + | 0.162495i | 0.0442952 | + | 0.00636869i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 17.1798 | − | 3.73723i | 0.672296 | − | 0.146249i | 0.136556 | − | 0.990632i | \(-0.456397\pi\) |
0.535740 | + | 0.844383i | \(0.320033\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −25.0135 | − | 6.98352i | −0.977357 | − | 0.272869i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −6.85755 | + | 9.16062i | −0.267539 | + | 0.357390i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 45.1308 | − | 13.2516i | 1.75805 | − | 0.516210i | 0.766085 | − | 0.642739i | \(-0.222202\pi\) |
0.991963 | + | 0.126529i | \(0.0403838\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.93565 | − | 5.14327i | −0.230870 | − | 0.200050i | 0.531742 | − | 0.846907i | \(-0.321538\pi\) |
−0.762612 | + | 0.646857i | \(0.776083\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.00775221 | − | 0.108390i | 0.000301071 | − | 0.00420952i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −13.3661 | − | 4.78315i | −0.518314 | − | 0.185482i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 11.5637 | + | 2.64807i | 0.447749 | + | 0.102534i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.673762 | − | 0.307697i | −0.0260492 | − | 0.0118963i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 5.61323 | + | 6.47801i | 0.216696 | + | 0.250081i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.86113 | − | 26.0220i | −0.0717412 | − | 1.00307i | −0.898061 | − | 0.439872i | \(-0.855024\pi\) |
0.826319 | − | 0.563202i | \(-0.190431\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.454706 | + | 1.32614i | −0.0175016 | + | 0.0510433i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −38.9391 | − | 29.1494i | −1.49655 | − | 1.12030i | −0.961262 | − | 0.275635i | \(-0.911112\pi\) |
−0.535289 | − | 0.844669i | \(-0.679797\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 28.8976 | − | 13.1971i | 1.10899 | − | 0.506457i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.328982 | + | 0.511906i | −0.0126066 | + | 0.0196163i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −25.4505 | − | 33.9979i | −0.973837 | − | 1.30089i | −0.953593 | − | 0.301098i | \(-0.902647\pi\) |
−0.0202434 | − | 0.999795i | \(-0.506444\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 26.7911 | + | 34.8108i | 1.02363 | + | 1.33005i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.0525109 | + | 0.0286731i | −0.00200341 | + | 0.00109395i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −3.56011 | −0.135629 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.2417 | 0.693947 | 0.346974 | − | 0.937875i | \(-0.387209\pi\) | ||||
0.346974 | + | 0.937875i | \(0.387209\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.72453 | + | 2.57979i | −0.179470 | + | 0.0979980i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 27.3063 | + | 3.55491i | 1.03579 | + | 0.134845i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.22363 | − | 12.3213i | −0.349370 | − | 0.466703i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0.399863 | − | 0.622199i | 0.0151242 | − | 0.0235337i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −5.66689 | + | 2.58798i | −0.214036 | + | 0.0977468i | −0.519548 | − | 0.854441i | \(-0.673900\pi\) |
0.305512 | + | 0.952188i | \(0.401172\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.57933 | − | 1.18227i | −0.0595655 | − | 0.0445902i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.109287 | − | 0.248010i | 0.00411600 | − | 0.00934060i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.880760 | + | 12.3146i | 0.0331244 | + | 0.463139i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 21.3230 | + | 24.6080i | 0.800801 | + | 0.924174i | 0.998425 | − | 0.0561043i | \(-0.0178679\pi\) |
−0.197624 | + | 0.980278i | \(0.563322\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −5.94123 | − | 2.71327i | −0.222814 | − | 0.101756i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 28.9934 | − | 28.3672i | 1.08581 | − | 1.06236i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.520874 | − | 1.45554i | 0.0194796 | − | 0.0544339i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0.0278197 | − | 0.388971i | 0.00103895 | − | 0.0145264i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −30.4326 | − | 26.3700i | −1.13494 | − | 0.983435i | −0.134972 | − | 0.990849i | \(-0.543094\pi\) |
−0.999973 | + | 0.00741457i | \(0.997640\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 10.4540 | − | 3.06956i | 0.389326 | − | 0.114316i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.409181 | − | 0.546602i | 0.0152176 | − | 0.0203283i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 6.96191 | + | 10.2226i | 0.258559 | + | 0.379658i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −47.3516 | + | 10.3007i | −1.75617 | + | 0.382032i | −0.971344 | − | 0.237679i | \(-0.923613\pi\) |
−0.784830 | + | 0.619711i | \(0.787250\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 26.6084 | + | 3.82572i | 0.985498 | + | 0.141693i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 10.0515 | − | 6.45970i | 0.371768 | − | 0.238920i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 10.9886 | + | 20.1241i | 0.405873 | + | 0.743301i | 0.998044 | − | 0.0625110i | \(-0.0199108\pi\) |
−0.592171 | + | 0.805812i | \(0.701729\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.139501 | − | 0.0118499i | 0.00514559 | − | 0.000437090i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 5.99861 | + | 5.99861i | 0.220962 | + | 0.220962i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.6529 | − | 43.0918i | 0.465444 | − | 1.58516i | −0.308060 | − | 0.951367i | \(-0.599680\pi\) |
0.773504 | − | 0.633791i | \(-0.218502\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.0617794 | + | 0.0961307i | 0.00226952 | + | 0.00353145i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −8.95832 | + | 6.70612i | −0.328649 | + | 0.246024i | −0.750841 | − | 0.660483i | \(-0.770352\pi\) |
0.422192 | + | 0.906506i | \(0.361261\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 17.0837 | − | 5.26478i | 0.625898 | − | 0.192887i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −29.5234 | − | 11.0117i | −1.08020 | − | 0.402895i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 23.5499 | − | 3.38597i | 0.860495 | − | 0.123721i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.4649 | − | 39.0458i | −0.418359 | − | 1.42480i | −0.851918 | − | 0.523675i | \(-0.824561\pi\) |
0.433559 | − | 0.901125i | \(-0.357258\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −0.406441 | + | 0.0290692i | −0.0148115 | + | 0.00105934i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −52.5645 | + | 0.701329i | −1.91302 | + | 0.0255240i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.14697 | − | 5.75625i | −0.0780330 | − | 0.209215i | 0.892075 | − | 0.451887i | \(-0.149249\pi\) |
−0.970108 | + | 0.242672i | \(0.921976\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.0213447 | − | 0.137762i | 0.000774763 | − | 0.00500044i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 4.22538 | − | 9.25230i | 0.153170 | − | 0.335396i | −0.817455 | − | 0.575992i | \(-0.804616\pi\) |
0.970625 | + | 0.240597i | \(0.0773431\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −41.6379 | − | 2.97800i | −1.50739 | − | 0.107811i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −8.24803 | + | 11.3301i | −0.298208 | + | 0.409639i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 6.04597 | + | 3.30135i | 0.218307 | + | 0.119205i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.92270 | − | 20.3278i | −0.105395 | − | 0.733039i | −0.972159 | − | 0.234321i | \(-0.924713\pi\) |
0.866764 | − | 0.498718i | \(-0.166196\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.400189 | + | 0.876293i | 0.0144125 | + | 0.0315589i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −4.28263 | − | 19.6869i | −0.154036 | − | 0.708090i | −0.987769 | − | 0.155923i | \(-0.950165\pi\) |
0.833734 | − | 0.552167i | \(-0.186199\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 42.2743 | − | 1.12827i | 1.51854 | − | 0.0405286i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.118375 | + | 0.0257509i | 0.00424667 | + | 0.000923807i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 15.5293 | + | 4.55983i | 0.556397 | + | 0.163373i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.604797i | 0.0216413i | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.490427 | + | 0.490427i | −0.0175264 | + | 0.0175264i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −2.71520 | + | 13.3357i | −0.0969095 | + | 0.475972i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 9.13827 | − | 42.0079i | 0.325744 | − | 1.49742i | −0.465020 | − | 0.885300i | \(-0.653953\pi\) |
0.790764 | − | 0.612121i | \(-0.209683\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.0381403 | + | 0.265272i | −0.00135783 | + | 0.00944393i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 32.2064 | + | 20.6978i | 1.14513 | + | 0.735930i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.35632 | − | 14.3608i | 0.190208 | − | 0.509969i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.283959 | − | 0.177182i | −0.0100710 | − | 0.00628399i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 24.1007 | − | 44.1371i | 0.853690 | − | 1.56342i | 0.0277795 | − | 0.999614i | \(-0.491156\pi\) |
0.825910 | − | 0.563802i | \(-0.190662\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.54965 | − | 4.09651i | 0.125577 | − | 0.144924i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 22.8286 | − | 19.7811i | 0.806607 | − | 0.698929i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 2.22385 | − | 0.829452i | 0.0784778 | − | 0.0292707i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 16.6794 | − | 26.0925i | 0.587872 | − | 0.919642i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.223082 | + | 0.0832053i | −0.00785286 | + | 0.00292897i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 34.4294 | − | 29.8333i | 1.21047 | − | 1.04888i | 0.213057 | − | 0.977040i | \(-0.431658\pi\) |
0.997416 | − | 0.0718416i | \(-0.0228876\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −34.8890 | + | 40.2641i | −1.22512 | + | 1.41386i | −0.345344 | + | 0.938476i | \(0.612238\pi\) |
−0.879776 | + | 0.475388i | \(0.842308\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.460802 | + | 0.843896i | −0.0161610 | + | 0.0295967i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −17.6026 | + | 4.07591i | −0.616594 | + | 0.142773i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.39080 | + | 11.7722i | −0.153615 | + | 0.411857i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 8.09747 | + | 5.20393i | 0.282949 | + | 0.181840i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0.848233 | − | 5.89959i | 0.0296035 | − | 0.205897i | −0.969651 | − | 0.244492i | \(-0.921379\pi\) |
0.999255 | + | 0.0385944i | \(0.0122880\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.239309 | + | 1.10009i | −0.00834179 | + | 0.0383466i | −0.981130 | − | 0.193351i | \(-0.938064\pi\) |
0.972788 | + | 0.231698i | \(0.0744280\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.113986 | − | 0.0901724i | 0.00396847 | − | 0.00313940i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 2.56413 | − | 2.56413i | 0.0891635 | − | 0.0891635i | −0.661118 | − | 0.750282i | \(-0.729918\pi\) |
0.750282 | + | 0.661118i | \(0.229918\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 6.22752i | − | 0.216291i | −0.994135 | − | 0.108145i | \(-0.965509\pi\) | ||
0.994135 | − | 0.108145i | \(-0.0344912\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.23697 | − | 0.363206i | −0.0429099 | − | 0.0125995i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 2.73610 | + | 0.595202i | 0.0948002 | + | 0.0206225i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.07714 | + | 18.5319i | −0.0372760 | + | 0.641323i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.504092 | + | 2.31728i | 0.0174240 | + | 0.0800968i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 15.7581 | + | 34.5054i | 0.544030 | + | 1.19126i | 0.959514 | + | 0.281659i | \(0.0908848\pi\) |
−0.415484 | + | 0.909600i | \(0.636388\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.25634 | − | 22.6483i | −0.112287 | − | 0.780976i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 1.15798 | + | 0.632302i | 0.0398828 | + | 0.0217777i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 25.9846 | − | 4.09055i | 0.893896 | − | 0.140719i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −30.5711 | − | 2.18649i | −1.05043 | − | 0.0751286i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0.257026 | − | 0.562808i | 0.00882110 | − | 0.0193155i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 3.28303 | − | 2.78259i | 0.112541 | − | 0.0953861i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −9.59827 | − | 25.7340i | −0.328638 | − | 0.881114i | −0.991232 | − | 0.132134i | \(-0.957817\pi\) |
0.662593 | − | 0.748979i | \(-0.269456\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.196607 | − | 14.7357i | −0.00672382 | − | 0.503950i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 12.2424 | − | 0.875592i | 0.418192 | − | 0.0299097i | 0.139342 | − | 0.990244i | \(-0.455501\pi\) |
0.278850 | + | 0.960335i | \(0.410047\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.72595 | − | 19.5008i | −0.195367 | − | 0.665359i | −0.997656 | − | 0.0684234i | \(-0.978203\pi\) |
0.802289 | − | 0.596935i | \(-0.203615\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.983737 | + | 0.141440i | −0.0335257 | + | 0.00482026i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 18.0898 | + | 6.74716i | 0.615785 | + | 0.229676i | 0.637949 | − | 0.770078i | \(-0.279783\pi\) |
−0.0221643 | + | 0.999754i | \(0.507056\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.71280 | − | 5.12966i | 0.0922381 | − | 0.174414i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.472632 | + | 0.353808i | −0.0160514 | + | 0.0120159i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.732431 | + | 1.13969i | 0.0248460 | + | 0.0386612i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.27369 | − | 14.5548i | 0.144808 | − | 0.493172i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 23.3195 | + | 23.3195i | 0.789246 | + | 0.789246i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 31.2488 | − | 8.11987i | 1.05640 | − | 0.274502i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.16978 | + | 9.46774i | 0.174571 | + | 0.319703i | 0.950285 | − | 0.311382i | \(-0.100792\pi\) |
−0.775714 | + | 0.631085i | \(0.782610\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −0.624907 | + | 0.401604i | −0.0210776 | + | 0.0135458i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −0.0444367 | − | 0.00638903i | −0.00149711 | − | 0.000215252i | 0.141566 | − | 0.989929i | \(-0.454786\pi\) |
−0.143063 | + | 0.989714i | \(0.545695\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −26.3106 | + | 5.72351i | −0.885421 | + | 0.192612i | −0.632208 | − | 0.774799i | \(-0.717851\pi\) |
−0.253213 | + | 0.967411i | \(0.581487\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.317932 | + | 0.564221i | 0.0106872 | + | 0.0189661i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −25.3893 | + | 33.9162i | −0.852490 | + | 1.13879i | 0.136475 | + | 0.990644i | \(0.456423\pi\) |
−0.988965 | + | 0.148150i | \(0.952668\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 18.4749 | − | 5.42472i | 0.619628 | − | 0.181939i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −4.22010 | − | 3.65674i | −0.141379 | − | 0.122505i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −0.406632 | + | 5.68546i | −0.0136074 | + | 0.190257i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.0974361 | − | 0.0460784i | 0.00325693 | − | 0.00154023i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.234496 | + | 0.0845580i | −0.00782959 | + | 0.00282331i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 19.0309 | + | 8.69111i | 0.634716 | + | 0.289865i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.38370 | − | 5.05906i | −0.146042 | − | 0.168542i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.0550402 | − | 0.769562i | −0.00183162 | − | 0.0256094i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −11.8314 | − | 5.21359i | −0.393289 | − | 0.173306i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 8.90444 | + | 6.66578i | 0.295667 | + | 0.221334i | 0.736804 | − | 0.676106i | \(-0.236334\pi\) |
−0.441137 | + | 0.897440i | \(0.645425\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −11.6583 | + | 5.32415i | −0.386680 | + | 0.176591i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 12.2990 | − | 19.1376i | 0.407485 | − | 0.634059i | −0.575488 | − | 0.817810i | \(-0.695188\pi\) |
0.982973 | + | 0.183752i | \(0.0588242\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.91675 | + | 5.23216i | 0.129625 | + | 0.173159i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 1.14195 | − | 0.878866i | 0.0377516 | − | 0.0290544i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −29.4367 | + | 16.0736i | −0.972085 | + | 0.530799i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 17.6471 | 0.582125 | 0.291063 | − | 0.956704i | \(-0.405991\pi\) | ||||
0.291063 | + | 0.956704i | \(0.405991\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.533283 | 0.0175723 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.949173 | − | 0.518288i | 0.0312424 | − | 0.0170596i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.48234 | + | 0.200570i | 0.147379 | + | 0.00659471i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 6.77808 | + | 9.05445i | 0.222621 | + | 0.297387i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 4.94656 | − | 7.69700i | 0.162292 | − | 0.252531i | −0.750578 | − | 0.660782i | \(-0.770225\pi\) |
0.912870 | + | 0.408251i | \(0.133861\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.67840 | + | 1.22318i | −0.0877810 | + | 0.0400882i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −0.413851 | − | 0.309805i | −0.0135489 | − | 0.0101426i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 2.70975 | − | 1.05208i | 0.0886184 | − | 0.0344065i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 0.587675 | + | 8.21678i | 0.0191985 | + | 0.268430i | 0.997980 | + | 0.0635248i | \(0.0202342\pi\) |
−0.978782 | + | 0.204906i | \(0.934311\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −0.470559 | − | 0.543054i | −0.0153561 | − | 0.0177219i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −28.3568 | − | 12.9501i | −0.924405 | − | 0.422162i | −0.104411 | − | 0.994534i | \(-0.533296\pi\) |
−0.819994 | + | 0.572373i | \(0.806023\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −17.2579 | + | 30.8013i | −0.561996 | + | 1.00303i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.774030 | + | 1.63674i | 0.0251792 | + | 0.0532433i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 2.30311 | − | 32.2017i | 0.0748411 | − | 1.04641i | −0.811794 | − | 0.583944i | \(-0.801509\pi\) |
0.886635 | − | 0.462470i | \(-0.153037\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.20750 | − | 2.77931i | −0.104120 | − | 0.0902203i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −1.06144 | + | 0.311666i | −0.0344194 | + | 0.0101065i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 23.2659 | − | 31.0797i | 0.753658 | − | 1.00677i | −0.245642 | − | 0.969361i | \(-0.578999\pi\) |
0.999300 | − | 0.0374085i | \(-0.0119103\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.95094 | + | 17.7332i | −0.160209 | + | 0.573833i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.0702601 | − | 0.0152841i | 0.00227119 | − | 0.000494066i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 56.1521 | + | 8.07345i | 1.81325 | + | 0.260705i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 34.1006 | − | 21.9151i | 1.10002 | − | 0.706940i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 11.8368 | + | 21.6774i | 0.381434 | + | 0.698544i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 2.93755 | + | 34.5819i | 0.0945630 | + | 1.11323i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.2193 | + | 10.2193i | 0.328630 | + | 0.328630i | 0.852065 | − | 0.523435i | \(-0.175350\pi\) |
−0.523435 | + | 0.852065i | \(0.675350\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.0605343 | + | 0.206161i | −0.00194464 | + | 0.00662284i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −4.46633 | − | 6.94974i | −0.143331 | − | 0.223028i | 0.762164 | − | 0.647384i | \(-0.224137\pi\) |
−0.905495 | + | 0.424356i | \(0.860501\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 28.4693 | − | 21.3119i | 0.912684 | − | 0.683227i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.239199 | − | 0.101616i | −0.00766049 | − | 0.00325431i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −14.7228 | − | 5.49131i | −0.471024 | − | 0.175683i | 0.102732 | − | 0.994709i | \(-0.467241\pi\) |
−0.573756 | + | 0.819026i | \(0.694514\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6.20162 | + | 0.891658i | −0.198205 | + | 0.0284975i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −12.2088 | − | 41.5793i | −0.389797 | − | 1.32753i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 1.22934 | − | 0.0879238i | 0.0392097 | − | 0.00280433i | −0.0517205 | − | 0.998662i | \(-0.516471\pi\) |
0.0909303 | + | 0.995857i | \(0.471016\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.43031 | + | 4.31364i | 0.141161 | + | 0.137444i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.122317 | − | 0.327945i | −0.00389340 | − | 0.0104386i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −22.8944 | − | 15.0690i | −0.727999 | − | 0.479166i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 23.7777 | − | 52.0659i | 0.755323 | − | 1.65393i | −0.00123431 | − | 0.999999i | \(-0.500393\pi\) |
0.756557 | − | 0.653927i | \(-0.226880\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −0.0415074 | − | 0.00296867i | −0.00131720 | − | 9.42078e-5i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 6.68150 | + | 42.4431i | 0.211818 | + | 1.34554i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −48.8369 | − | 26.6669i | −1.54668 | − | 0.844551i | −0.999974 | − | 0.00722554i | \(-0.997700\pi\) |
−0.546705 | − | 0.837325i | \(-0.684118\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0.0358077 | + | 0.249048i | 0.00113291 | + | 0.00787954i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 920.2.bv.a.17.18 | ✓ | 720 | |
5.3 | odd | 4 | inner | 920.2.bv.a.753.18 | yes | 720 | |
23.19 | odd | 22 | inner | 920.2.bv.a.617.18 | yes | 720 | |
115.88 | even | 44 | inner | 920.2.bv.a.433.18 | yes | 720 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
920.2.bv.a.17.18 | ✓ | 720 | 1.1 | even | 1 | trivial | |
920.2.bv.a.433.18 | yes | 720 | 115.88 | even | 44 | inner | |
920.2.bv.a.617.18 | yes | 720 | 23.19 | odd | 22 | inner | |
920.2.bv.a.753.18 | yes | 720 | 5.3 | odd | 4 | inner |