Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1350,3,Mod(251,1350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1350, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1350.251");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1350 = 2 \cdot 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 1350.i (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(36.7848356886\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{-2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 18) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 251.1 | ||
Root | \(1.22474 - 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1350.251 |
Dual form | 1350.3.i.b.1151.1 |
$q$-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 \(\left(\mathbb{Z}/1350\mathbb{Z}\right)^\times\).
\(n\) | \(1001\) | \(1027\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.22474 | − | 0.707107i | −0.612372 | − | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.00000 | + | 1.73205i | 0.250000 | + | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.17423 | − | 5.49794i | 0.453462 | − | 0.785419i | −0.545136 | − | 0.838347i | \(-0.683522\pi\) |
0.998598 | + | 0.0529281i | \(0.0168554\pi\) | |||||||
\(8\) | − | 2.82843i | − | 0.353553i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −8.17423 | − | 4.71940i | −0.743112 | − | 0.429036i | 0.0800876 | − | 0.996788i | \(-0.474480\pi\) |
−0.823200 | + | 0.567752i | \(0.807813\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 9.84847 | + | 17.0580i | 0.757575 | + | 1.31216i | 0.944084 | + | 0.329704i | \(0.106949\pi\) |
−0.186510 | + | 0.982453i | \(0.559718\pi\) | |||||||
\(14\) | −7.77526 | + | 4.48905i | −0.555375 | + | 0.320646i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.00000 | + | 3.46410i | −0.125000 | + | 0.216506i | ||||
\(17\) | − | 1.90702i | − | 0.112178i | −0.998426 | − | 0.0560889i | \(-0.982137\pi\) | ||
0.998426 | − | 0.0560889i | \(-0.0178630\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.69694 | 0.247207 | 0.123604 | − | 0.992332i | \(-0.460555\pi\) | ||||
0.123604 | + | 0.992332i | \(0.460555\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 6.67423 | + | 11.5601i | 0.303374 | + | 0.525460i | ||||
\(23\) | 8.17423 | − | 4.71940i | 0.355402 | − | 0.205191i | −0.311660 | − | 0.950194i | \(-0.600885\pi\) |
0.667062 | + | 0.745002i | \(0.267552\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | − | 27.8557i | − | 1.07137i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 12.6969 | 0.453462 | ||||||||
\(29\) | 2.84847 | + | 1.64456i | 0.0982231 | + | 0.0567091i | 0.548307 | − | 0.836277i | \(-0.315273\pi\) |
−0.450084 | + | 0.892986i | \(0.648606\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 20.5227 | + | 35.5464i | 0.662023 | + | 1.14666i | 0.980083 | + | 0.198587i | \(0.0636351\pi\) |
−0.318061 | + | 0.948070i | \(0.603032\pi\) | |||||||
\(32\) | 4.89898 | − | 2.82843i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.34847 | + | 2.33562i | −0.0396609 | + | 0.0686946i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −17.3031 | −0.467650 | −0.233825 | − | 0.972279i | \(-0.575124\pi\) | ||||
−0.233825 | + | 0.972279i | \(0.575124\pi\) | |||||||
\(38\) | −5.75255 | − | 3.32124i | −0.151383 | − | 0.0874010i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 53.5454 | − | 30.9145i | 1.30599 | − | 0.754011i | 0.324562 | − | 0.945864i | \(-0.394783\pi\) |
0.981424 | + | 0.191853i | \(0.0614498\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.477296 | − | 0.826701i | 0.0110999 | − | 0.0192256i | −0.860422 | − | 0.509582i | \(-0.829800\pi\) |
0.871522 | + | 0.490356i | \(0.163133\pi\) | |||||||
\(44\) | − | 18.8776i | − | 0.429036i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −13.3485 | −0.290184 | ||||||||
\(47\) | −12.2196 | − | 7.05501i | −0.259992 | − | 0.150107i | 0.364339 | − | 0.931267i | \(-0.381295\pi\) |
−0.624331 | + | 0.781160i | \(0.714628\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.34847 | + | 7.53177i | 0.0887443 | + | 0.153710i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −19.6969 | + | 34.1161i | −0.378787 | + | 0.656079i | ||||
\(53\) | − | 9.53512i | − | 0.179908i | −0.995946 | − | 0.0899539i | \(-0.971328\pi\) | ||
0.995946 | − | 0.0899539i | \(-0.0286720\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −15.5505 | − | 8.97809i | −0.277688 | − | 0.160323i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.32577 | − | 4.02834i | −0.0400994 | − | 0.0694542i | ||||
\(59\) | −79.2650 | + | 45.7637i | −1.34348 | + | 0.775656i | −0.987316 | − | 0.158769i | \(-0.949247\pi\) |
−0.356160 | + | 0.934425i | \(0.615914\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 37.5454 | − | 65.0306i | 0.615498 | − | 1.06607i | −0.374798 | − | 0.927106i | \(-0.622288\pi\) |
0.990297 | − | 0.138968i | \(-0.0443786\pi\) | |||||||
\(62\) | − | 58.0470i | − | 0.936241i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 15.4773 | + | 26.8075i | 0.231004 | + | 0.400111i | 0.958104 | − | 0.286421i | \(-0.0924655\pi\) |
−0.727100 | + | 0.686532i | \(0.759132\pi\) | |||||||
\(68\) | 3.30306 | − | 1.90702i | 0.0485744 | − | 0.0280445i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 85.9026i | − | 1.20990i | −0.796265 | − | 0.604948i | \(-0.793194\pi\) | ||
0.796265 | − | 0.604948i | \(-0.206806\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 96.0908 | 1.31631 | 0.658156 | − | 0.752881i | \(-0.271337\pi\) | ||||
0.658156 | + | 0.752881i | \(0.271337\pi\) | |||||||
\(74\) | 21.1918 | + | 12.2351i | 0.286376 | + | 0.165339i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.69694 | + | 8.13534i | 0.0618018 | + | 0.107044i | ||||
\(77\) | −51.8939 | + | 29.9609i | −0.673946 | + | 0.389103i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −14.8712 | + | 25.7576i | −0.188243 | + | 0.326046i | −0.944664 | − | 0.328038i | \(-0.893612\pi\) |
0.756422 | + | 0.654084i | \(0.226946\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −87.4393 | −1.06633 | ||||||||
\(83\) | −76.1288 | − | 43.9530i | −0.917215 | − | 0.529554i | −0.0344693 | − | 0.999406i | \(-0.510974\pi\) |
−0.882745 | + | 0.469852i | \(0.844307\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −1.16913 | + | 0.674999i | −0.0135946 | + | 0.00784882i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −13.3485 | + | 23.1202i | −0.151687 | + | 0.262730i | ||||
\(89\) | 41.3766i | 0.464905i | 0.972608 | + | 0.232453i | \(0.0746751\pi\) | ||||
−0.972608 | + | 0.232453i | \(0.925325\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 125.045 | 1.37413 | ||||||||
\(92\) | 16.3485 | + | 9.43879i | 0.177701 | + | 0.102596i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 9.97730 | + | 17.2812i | 0.106141 | + | 0.183842i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 47.9393 | − | 83.0333i | 0.494219 | − | 0.856013i | −0.505758 | − | 0.862675i | \(-0.668787\pi\) |
0.999978 | + | 0.00666202i | \(0.00212060\pi\) | |||||||
\(98\) | − | 12.2993i | − | 0.125503i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 136.772 | + | 78.9656i | 1.35418 | + | 0.781838i | 0.988832 | − | 0.149032i | \(-0.0476159\pi\) |
0.365350 | + | 0.930870i | \(0.380949\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.5681 | + | 25.2327i | 0.141438 | + | 0.244978i | 0.928038 | − | 0.372485i | \(-0.121494\pi\) |
−0.786600 | + | 0.617462i | \(0.788161\pi\) | |||||||
\(104\) | 48.2474 | − | 27.8557i | 0.463918 | − | 0.267843i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.74235 | + | 11.6781i | −0.0636070 | + | 0.110171i | ||||
\(107\) | 171.805i | 1.60566i | 0.596210 | + | 0.802829i | \(0.296673\pi\) | ||||
−0.596210 | + | 0.802829i | \(0.703327\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 116.272 | 1.06672 | 0.533360 | − | 0.845888i | \(-0.320929\pi\) | ||||
0.533360 | + | 0.845888i | \(0.320929\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 12.6969 | + | 21.9917i | 0.113366 | + | 0.196355i | ||||
\(113\) | 175.166 | − | 101.132i | 1.55014 | − | 0.894976i | 0.552015 | − | 0.833834i | \(-0.313859\pi\) |
0.998129 | − | 0.0611424i | \(-0.0194744\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 6.57826i | 0.0567091i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 129.439 | 1.09694 | ||||||||
\(119\) | −10.4847 | − | 6.05334i | −0.0881067 | − | 0.0508684i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −15.9546 | − | 27.6342i | −0.131856 | − | 0.228382i | ||||
\(122\) | −91.9671 | + | 53.0972i | −0.753829 | + | 0.435223i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −41.0454 | + | 71.0927i | −0.331011 | + | 0.573328i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.0908 | −0.0794552 | −0.0397276 | − | 0.999211i | \(-0.512649\pi\) | ||||
−0.0397276 | + | 0.999211i | \(0.512649\pi\) | |||||||
\(128\) | 9.79796 | + | 5.65685i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.29567 | + | 2.48010i | −0.0327913 | + | 0.0189321i | −0.516306 | − | 0.856404i | \(-0.672693\pi\) |
0.483515 | + | 0.875336i | \(0.339360\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 14.9092 | − | 25.8235i | 0.112099 | − | 0.194161i | ||||
\(134\) | − | 43.7764i | − | 0.326690i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.39388 | −0.0396609 | ||||||||
\(137\) | 203.242 | + | 117.342i | 1.48352 | + | 0.856511i | 0.999825 | − | 0.0187249i | \(-0.00596067\pi\) |
0.483696 | + | 0.875236i | \(0.339294\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −53.2650 | − | 92.2578i | −0.383202 | − | 0.663725i | 0.608316 | − | 0.793695i | \(-0.291845\pi\) |
−0.991518 | + | 0.129970i | \(0.958512\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −60.7423 | + | 105.209i | −0.427763 | + | 0.740907i | ||||
\(143\) | − | 185.915i | − | 1.30011i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −117.687 | − | 67.9465i | −0.806074 | − | 0.465387i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −17.3031 | − | 29.9698i | −0.116913 | − | 0.202499i | ||||
\(149\) | 91.0301 | − | 52.5563i | 0.610940 | − | 0.352727i | −0.162393 | − | 0.986726i | \(-0.551921\pi\) |
0.773333 | + | 0.634000i | \(0.218588\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 142.614 | − | 247.014i | 0.944460 | − | 1.63585i | 0.187632 | − | 0.982239i | \(-0.439919\pi\) |
0.756828 | − | 0.653614i | \(-0.226748\pi\) | |||||||
\(152\) | − | 13.2849i | − | 0.0874010i | ||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 84.7423 | 0.550275 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −98.5908 | − | 170.764i | −0.627967 | − | 1.08767i | −0.987959 | − | 0.154715i | \(-0.950554\pi\) |
0.359992 | − | 0.932955i | \(-0.382779\pi\) | |||||||
\(158\) | 36.4268 | − | 21.0310i | 0.230549 | − | 0.133108i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 59.9219i | − | 0.372186i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 249.060 | 1.52798 | 0.763988 | − | 0.645230i | \(-0.223238\pi\) | ||||
0.763988 | + | 0.645230i | \(0.223238\pi\) | |||||||
\(164\) | 107.091 | + | 61.8289i | 0.652993 | + | 0.377006i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 62.1589 | + | 107.662i | 0.374451 | + | 0.648569i | ||||
\(167\) | −41.9472 | + | 24.2182i | −0.251181 | + | 0.145019i | −0.620305 | − | 0.784361i | \(-0.712991\pi\) |
0.369124 | + | 0.929380i | \(0.379658\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −109.485 | + | 189.633i | −0.647838 | + | 1.12209i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.90918 | 0.0110999 | ||||||||
\(173\) | 86.9847 | + | 50.2206i | 0.502802 | + | 0.290293i | 0.729870 | − | 0.683586i | \(-0.239581\pi\) |
−0.227068 | + | 0.973879i | \(0.572914\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 32.6969 | − | 18.8776i | 0.185778 | − | 0.107259i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 29.2577 | − | 50.6757i | 0.164369 | − | 0.284695i | ||||
\(179\) | − | 285.071i | − | 1.59257i | −0.604919 | − | 0.796287i | \(-0.706794\pi\) | ||
0.604919 | − | 0.796287i | \(-0.293206\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 37.1214 | 0.205091 | 0.102545 | − | 0.994728i | \(-0.467301\pi\) | ||||
0.102545 | + | 0.994728i | \(0.467301\pi\) | |||||||
\(182\) | −153.149 | − | 88.4205i | −0.841476 | − | 0.485827i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −13.3485 | − | 23.1202i | −0.0725460 | − | 0.125653i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −9.00000 | + | 15.5885i | −0.0481283 | + | 0.0833607i | ||||
\(188\) | − | 28.2201i | − | 0.150107i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 15.5227 | + | 8.96204i | 0.0812707 | + | 0.0469217i | 0.540085 | − | 0.841611i | \(-0.318392\pi\) |
−0.458814 | + | 0.888532i | \(0.651726\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −47.7270 | − | 82.6657i | −0.247290 | − | 0.428319i | 0.715483 | − | 0.698630i | \(-0.246207\pi\) |
−0.962773 | + | 0.270311i | \(0.912873\pi\) | |||||||
\(194\) | −117.427 | + | 67.7964i | −0.605293 | + | 0.349466i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.69694 | + | 15.0635i | −0.0443721 | + | 0.0768548i | ||||
\(197\) | − | 160.363i | − | 0.814026i | −0.913422 | − | 0.407013i | \(-0.866570\pi\) | ||
0.913422 | − | 0.407013i | \(-0.133430\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.51531 | 0.0327402 | 0.0163701 | − | 0.999866i | \(-0.494789\pi\) | ||||
0.0163701 | + | 0.999866i | \(0.494789\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −111.674 | − | 193.425i | −0.552843 | − | 0.957552i | ||||
\(203\) | 18.0834 | − | 10.4405i | 0.0890809 | − | 0.0514309i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | − | 41.2048i | − | 0.200024i | ||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −78.7878 | −0.378787 | ||||||||
\(209\) | −38.3939 | − | 22.1667i | −0.183703 | − | 0.106061i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 77.2196 | + | 133.748i | 0.365970 | + | 0.633878i | 0.988931 | − | 0.148374i | \(-0.0474040\pi\) |
−0.622961 | + | 0.782253i | \(0.714071\pi\) | |||||||
\(212\) | 16.5153 | − | 9.53512i | 0.0779024 | − | 0.0449770i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 121.485 | − | 210.418i | 0.567685 | − | 0.983260i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 260.576 | 1.20081 | ||||||||
\(218\) | −142.404 | − | 82.2170i | −0.653230 | − | 0.377142i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 32.5301 | − | 18.7813i | 0.147195 | − | 0.0849831i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 46.3865 | − | 80.3437i | 0.208011 | − | 0.360286i | −0.743077 | − | 0.669206i | \(-0.766634\pi\) |
0.951088 | + | 0.308920i | \(0.0999676\pi\) | |||||||
\(224\) | − | 35.9124i | − | 0.160323i | ||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −286.045 | −1.26569 | ||||||||
\(227\) | 147.053 | + | 84.9010i | 0.647810 | + | 0.374013i | 0.787617 | − | 0.616166i | \(-0.211315\pi\) |
−0.139807 | + | 0.990179i | \(0.544648\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −203.772 | − | 352.944i | −0.889836 | − | 1.54124i | −0.840068 | − | 0.542480i | \(-0.817485\pi\) |
−0.0497675 | − | 0.998761i | \(-0.515848\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.65153 | − | 8.05669i | 0.0200497 | − | 0.0347271i | ||||
\(233\) | − | 15.2562i | − | 0.0654772i | −0.999464 | − | 0.0327386i | \(-0.989577\pi\) | ||
0.999464 | − | 0.0327386i | \(-0.0104229\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −158.530 | − | 91.5274i | −0.671738 | − | 0.387828i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 8.56072 | + | 14.8276i | 0.0359694 | + | 0.0623008i | ||||
\(239\) | −48.9620 | + | 28.2682i | −0.204862 | + | 0.118277i | −0.598921 | − | 0.800808i | \(-0.704404\pi\) |
0.394059 | + | 0.919085i | \(0.371070\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −42.1061 | + | 72.9299i | −0.174714 | + | 0.302614i | −0.940062 | − | 0.341003i | \(-0.889233\pi\) |
0.765348 | + | 0.643617i | \(0.222567\pi\) | |||||||
\(242\) | 45.1264i | 0.186473i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 150.182 | 0.615498 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 46.2577 | + | 80.1206i | 0.187278 | + | 0.324375i | ||||
\(248\) | 100.540 | − | 58.0470i | 0.405404 | − | 0.234060i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 218.903i | 0.872123i | 0.899917 | + | 0.436062i | \(0.143627\pi\) | ||||
−0.899917 | + | 0.436062i | \(0.856373\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −89.0908 | −0.352138 | ||||||||
\(254\) | 12.3587 | + | 7.13528i | 0.0486562 | + | 0.0280917i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −11.1061 | + | 6.41212i | −0.0432145 | + | 0.0249499i | −0.521452 | − | 0.853281i | \(-0.674609\pi\) |
0.478237 | + | 0.878231i | \(0.341276\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −54.9240 | + | 95.1311i | −0.212062 | + | 0.367302i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 7.01479 | 0.0267740 | ||||||||
\(263\) | 291.386 | + | 168.232i | 1.10793 | + | 0.639666i | 0.938293 | − | 0.345840i | \(-0.112406\pi\) |
0.169640 | + | 0.985506i | \(0.445739\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −36.5199 | + | 21.0848i | −0.137293 | + | 0.0792661i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −30.9546 | + | 53.6149i | −0.115502 | + | 0.200056i | ||||
\(269\) | 60.4468i | 0.224709i | 0.993668 | + | 0.112355i | \(0.0358393\pi\) | ||||
−0.993668 | + | 0.112355i | \(0.964161\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 274.636 | 1.01342 | 0.506708 | − | 0.862118i | \(-0.330862\pi\) | ||||
0.506708 | + | 0.862118i | \(0.330862\pi\) | |||||||
\(272\) | 6.60612 | + | 3.81405i | 0.0242872 | + | 0.0140222i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −165.947 | − | 287.428i | −0.605645 | − | 1.04901i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −24.5000 | + | 42.4352i | −0.0884477 | + | 0.153196i | −0.906855 | − | 0.421442i | \(-0.861524\pi\) |
0.818407 | + | 0.574638i | \(0.194857\pi\) | |||||||
\(278\) | 150.656i | 0.541929i | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 297.121 | + | 171.543i | 1.05737 | + | 0.610473i | 0.924704 | − | 0.380688i | \(-0.124313\pi\) |
0.132666 | + | 0.991161i | \(0.457646\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −171.704 | − | 297.401i | −0.606729 | − | 1.05089i | −0.991776 | − | 0.127988i | \(-0.959148\pi\) |
0.385047 | − | 0.922897i | \(-0.374185\pi\) | |||||||
\(284\) | 148.788 | − | 85.9026i | 0.523901 | − | 0.302474i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −131.462 | + | 227.699i | −0.459657 | + | 0.796150i | ||||
\(287\) | − | 392.519i | − | 1.36766i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 285.363 | 0.987416 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 96.0908 | + | 166.434i | 0.329078 | + | 0.569980i | ||||
\(293\) | −248.076 | + | 143.226i | −0.846674 | + | 0.488828i | −0.859527 | − | 0.511090i | \(-0.829242\pi\) |
0.0128532 | + | 0.999917i | \(0.495909\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 48.9404i | 0.165339i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −148.652 | −0.498831 | ||||||||
\(299\) | 161.007 | + | 92.9577i | 0.538486 | + | 0.310895i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.03010 | − | 5.24829i | −0.0100668 | − | 0.0174362i | ||||
\(302\) | −349.330 | + | 201.686i | −1.15672 | + | 0.667834i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −9.39388 | + | 16.2707i | −0.0309009 | + | 0.0535219i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −154.091 | −0.501924 | −0.250962 | − | 0.967997i | \(-0.580747\pi\) | ||||
−0.250962 | + | 0.967997i | \(0.580747\pi\) | |||||||
\(308\) | −103.788 | − | 59.9219i | −0.336973 | − | 0.194552i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 62.3411 | − | 35.9926i | 0.200454 | − | 0.115732i | −0.396413 | − | 0.918072i | \(-0.629745\pi\) |
0.596867 | + | 0.802340i | \(0.296412\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −183.803 | + | 318.356i | −0.587230 | + | 1.01711i | 0.407363 | + | 0.913266i | \(0.366448\pi\) |
−0.994593 | + | 0.103846i | \(0.966885\pi\) | |||||||
\(314\) | 278.857i | 0.888079i | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −59.4847 | −0.188243 | ||||||||
\(317\) | −93.1821 | − | 53.7987i | −0.293950 | − | 0.169712i | 0.345772 | − | 0.938319i | \(-0.387617\pi\) |
−0.639722 | + | 0.768607i | \(0.720950\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −15.5227 | − | 26.8861i | −0.0486605 | − | 0.0842825i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −42.3712 | + | 73.3890i | −0.131587 | + | 0.227916i | ||||
\(323\) | − | 8.95717i | − | 0.0277312i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −305.035 | − | 176.112i | −0.935691 | − | 0.540221i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −87.4393 | − | 151.449i | −0.266583 | − | 0.461736i | ||||
\(329\) | −77.5760 | + | 44.7885i | −0.235793 | + | 0.136135i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.59873 | + | 14.8934i | −0.0259780 | + | 0.0449953i | −0.878722 | − | 0.477334i | \(-0.841603\pi\) |
0.852744 | + | 0.522329i | \(0.174937\pi\) | |||||||
\(332\) | − | 175.812i | − | 0.529554i | ||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 68.4995 | 0.205088 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 182.197 | + | 315.574i | 0.540644 | + | 0.936422i | 0.998867 | + | 0.0475854i | \(0.0151526\pi\) |
−0.458223 | + | 0.888837i | \(0.651514\pi\) | |||||||
\(338\) | 268.182 | − | 154.835i | 0.793437 | − | 0.458091i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 387.419i | − | 1.13613i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 366.287 | 1.06789 | ||||||||
\(344\) | −2.33826 | − | 1.35000i | −0.00679728 | − | 0.00392441i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −71.0227 | − | 123.015i | −0.205268 | − | 0.355534i | ||||
\(347\) | 505.234 | − | 291.697i | 1.45601 | − | 0.840626i | 0.457196 | − | 0.889366i | \(-0.348854\pi\) |
0.998811 | + | 0.0487402i | \(0.0155206\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −156.379 | + | 270.856i | −0.448076 | + | 0.776091i | −0.998261 | − | 0.0589524i | \(-0.981224\pi\) |
0.550185 | + | 0.835043i | \(0.314557\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −53.3939 | −0.151687 | ||||||||
\(353\) | −32.5760 | − | 18.8078i | −0.0922834 | − | 0.0532798i | 0.453148 | − | 0.891435i | \(-0.350301\pi\) |
−0.545431 | + | 0.838155i | \(0.683634\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −71.6663 | + | 41.3766i | −0.201310 | + | 0.116226i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −201.576 | + | 349.139i | −0.563060 | + | 0.975249i | ||||
\(359\) | − | 294.028i | − | 0.819019i | −0.912306 | − | 0.409510i | \(-0.865700\pi\) | ||
0.912306 | − | 0.409510i | \(-0.134300\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −338.939 | −0.938889 | ||||||||
\(362\) | −45.4643 | − | 26.2488i | −0.125592 | − | 0.0725105i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 125.045 | + | 216.585i | 0.343531 | + | 0.595014i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −16.6135 | + | 28.7755i | −0.0452684 | + | 0.0784072i | −0.887772 | − | 0.460284i | \(-0.847748\pi\) |
0.842503 | + | 0.538691i | \(0.181081\pi\) | |||||||
\(368\) | 37.7552i | 0.102596i | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −52.4235 | − | 30.2667i | −0.141303 | − | 0.0815814i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −112.515 | − | 194.881i | −0.301648 | − | 0.522470i | 0.674861 | − | 0.737945i | \(-0.264203\pi\) |
−0.976509 | + | 0.215475i | \(0.930870\pi\) | |||||||
\(374\) | 22.0454 | − | 12.7279i | 0.0589449 | − | 0.0340319i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −19.9546 | + | 34.5624i | −0.0530707 | + | 0.0919212i | ||||
\(377\) | 64.7858i | 0.171846i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −166.334 | −0.438875 | −0.219438 | − | 0.975627i | \(-0.570422\pi\) | ||||
−0.219438 | + | 0.975627i | \(0.570422\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −12.6742 | − | 21.9524i | −0.0331786 | − | 0.0574671i | ||||
\(383\) | −638.249 | + | 368.493i | −1.66645 | + | 0.962124i | −0.696917 | + | 0.717152i | \(0.745445\pi\) |
−0.969530 | + | 0.244972i | \(0.921221\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 134.992i | 0.349721i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 191.757 | 0.494219 | ||||||||
\(389\) | 146.682 | + | 84.6867i | 0.377074 | + | 0.217704i | 0.676544 | − | 0.736402i | \(-0.263477\pi\) |
−0.299471 | + | 0.954106i | \(0.596810\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.00000 | − | 15.5885i | −0.0230179 | − | 0.0398682i | ||||
\(392\) | 21.3031 | − | 12.2993i | 0.0543445 | − | 0.0313758i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −113.394 | + | 196.404i | −0.287802 | + | 0.498487i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 256.272 | 0.645523 | 0.322761 | − | 0.946480i | \(-0.395389\pi\) | ||||
0.322761 | + | 0.946480i | \(0.395389\pi\) | |||||||
\(398\) | −7.97959 | − | 4.60702i | −0.0200492 | − | 0.0115754i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −226.364 | + | 130.691i | −0.564498 | + | 0.325913i | −0.754949 | − | 0.655784i | \(-0.772338\pi\) |
0.190451 | + | 0.981697i | \(0.439005\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −404.234 | + | 700.155i | −1.00306 | + | 1.73736i | ||||
\(404\) | 315.862i | 0.781838i | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −29.5301 | −0.0727342 | ||||||||
\(407\) | 141.439 | + | 81.6600i | 0.347517 | + | 0.200639i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 221.894 | + | 384.331i | 0.542528 | + | 0.939686i | 0.998758 | + | 0.0498240i | \(0.0158660\pi\) |
−0.456230 | + | 0.889862i | \(0.650801\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −29.1362 | + | 50.4654i | −0.0707190 | + | 0.122489i | ||||
\(413\) | 581.059i | 1.40692i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 96.4949 | + | 55.7114i | 0.231959 | + | 0.133922i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 31.3485 | + | 54.2971i | 0.0749963 | + | 0.129897i | ||||
\(419\) | −9.32525 | + | 5.38394i | −0.0222560 | + | 0.0128495i | −0.511087 | − | 0.859529i | \(-0.670757\pi\) |
0.488831 | + | 0.872379i | \(0.337424\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −127.152 | + | 220.233i | −0.302023 | + | 0.523119i | −0.976594 | − | 0.215091i | \(-0.930995\pi\) |
0.674571 | + | 0.738210i | \(0.264328\pi\) | |||||||
\(422\) | − | 218.410i | − | 0.517560i | ||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −26.9694 | −0.0636070 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −238.356 | − | 412.844i | −0.558210 | − | 0.966849i | ||||
\(428\) | −297.576 | + | 171.805i | −0.695270 | + | 0.401414i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 698.663i | 1.62103i | 0.585719 | + | 0.810514i | \(0.300812\pi\) | ||||
−0.585719 | + | 0.810514i | \(0.699188\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −211.728 | −0.488978 | −0.244489 | − | 0.969652i | \(-0.578620\pi\) | ||||
−0.244489 | + | 0.969652i | \(0.578620\pi\) | |||||||
\(434\) | −319.139 | − | 184.255i | −0.735342 | − | 0.424550i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 116.272 | + | 201.390i | 0.266680 | + | 0.461903i | ||||
\(437\) | 38.3939 | − | 22.1667i | 0.0878578 | − | 0.0507247i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −139.931 | + | 242.368i | −0.318750 | + | 0.552092i | −0.980228 | − | 0.197874i | \(-0.936596\pi\) |
0.661477 | + | 0.749965i | \(0.269930\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −53.1214 | −0.120184 | ||||||||
\(443\) | −477.400 | − | 275.627i | −1.07765 | − | 0.622183i | −0.147391 | − | 0.989078i | \(-0.547087\pi\) |
−0.930262 | + | 0.366895i | \(0.880421\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −113.623 | + | 65.6004i | −0.254761 | + | 0.147086i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −25.3939 | + | 43.9835i | −0.0566828 | + | 0.0981774i | ||||
\(449\) | 542.865i | 1.20905i | 0.796585 | + | 0.604527i | \(0.206638\pi\) | ||||
−0.796585 | + | 0.604527i | \(0.793362\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −583.590 | −1.29399 | ||||||||
\(452\) | 350.333 | + | 202.265i | 0.775072 | + | 0.447488i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −120.068 | − | 207.964i | −0.264467 | − | 0.458071i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 46.1821 | − | 79.9898i | 0.101055 | − | 0.175032i | −0.811065 | − | 0.584957i | \(-0.801112\pi\) |
0.912120 | + | 0.409924i | \(0.134445\pi\) | |||||||
\(458\) | 576.356i | 1.25842i | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 199.030 | + | 114.910i | 0.431736 | + | 0.249263i | 0.700086 | − | 0.714059i | \(-0.253145\pi\) |
−0.268350 | + | 0.963321i | \(0.586478\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −255.401 | − | 442.368i | −0.551623 | − | 0.955438i | −0.998158 | − | 0.0606723i | \(-0.980676\pi\) |
0.446535 | − | 0.894766i | \(-0.352658\pi\) | |||||||
\(464\) | −11.3939 | + | 6.57826i | −0.0245558 | + | 0.0141773i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −10.7878 | + | 18.6849i | −0.0231497 | + | 0.0400964i | ||||
\(467\) | 833.657i | 1.78513i | 0.450915 | + | 0.892567i | \(0.351098\pi\) | ||||
−0.450915 | + | 0.892567i | \(0.648902\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 196.514 | 0.419007 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 129.439 | + | 224.195i | 0.274236 | + | 0.474990i | ||||
\(473\) | −7.80306 | + | 4.50510i | −0.0164970 | + | 0.00952452i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | − | 24.2134i | − | 0.0508684i | ||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 79.9546 | 0.167269 | ||||||||
\(479\) | −569.144 | − | 328.595i | −1.18819 | − | 0.686003i | −0.230296 | − | 0.973121i | \(-0.573969\pi\) |
−0.957895 | + | 0.287118i | \(0.907303\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −170.409 | − | 295.156i | −0.354280 | − | 0.613631i | ||||
\(482\) | 103.139 | − | 59.5471i | 0.213980 | − | 0.123542i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 31.9092 | − | 55.2683i | 0.0659281 | − | 0.114191i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 351.666 | 0.722107 | 0.361054 | − | 0.932545i | \(-0.382417\pi\) | ||||
0.361054 | + | 0.932545i | \(0.382417\pi\) | |||||||
\(488\) | −183.934 | − | 106.194i | −0.376914 | − | 0.217612i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −212.539 | + | 122.709i | −0.432869 | + | 0.249917i | −0.700568 | − | 0.713586i | \(-0.747070\pi\) |
0.267699 | + | 0.963503i | \(0.413737\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.13622 | − | 5.43210i | 0.00636151 | − | 0.0110185i | ||||
\(494\) | − | 130.836i | − | 0.264851i | ||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −164.182 | −0.331011 | ||||||||
\(497\) | −472.287 | − | 272.675i | −0.950276 | − | 0.548642i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −315.113 | − | 545.792i | −0.631489 | − | 1.09377i | −0.987247 | − | 0.159193i | \(-0.949111\pi\) |
0.355758 | − | 0.934578i | \(-0.384223\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 154.788 | − | 268.100i | 0.308342 | − | 0.534064i | ||||
\(503\) | − | 286.891i | − | 0.570360i | −0.958474 | − | 0.285180i | \(-0.907947\pi\) | ||
0.958474 | − | 0.285180i | \(-0.0920534\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 109.114 | + | 62.9967i | 0.215639 | + | 0.124499i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −10.0908 | − | 17.4778i | −0.0198638 | − | 0.0344051i | ||||
\(509\) | −755.454 | + | 436.161i | −1.48419 | + | 0.856898i | −0.999838 | − | 0.0179741i | \(-0.994278\pi\) |
−0.484353 | + | 0.874873i | \(0.660945\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 305.015 | − | 528.301i | 0.596898 | − | 1.03386i | ||||
\(512\) | 22.6274i | 0.0441942i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 18.1362 | 0.0352845 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 66.5908 | + | 115.339i | 0.128802 | + | 0.223092i | ||||
\(518\) | 134.536 | − | 77.6742i | 0.259721 | − | 0.149950i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 206.132i | 0.395646i | 0.980238 | + | 0.197823i | \(0.0633872\pi\) | ||||
−0.980238 | + | 0.197823i | \(0.936613\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −884.817 | −1.69181 | −0.845906 | − | 0.533333i | \(-0.820939\pi\) | ||||
−0.845906 | + | 0.533333i | \(0.820939\pi\) | |||||||
\(524\) | −8.59133 | − | 4.96021i | −0.0163957 | − | 0.00946604i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −237.916 | − | 412.083i | −0.452312 | − | 0.783427i | ||||
\(527\) | 67.7878 | − | 39.1373i | 0.128630 | − | 0.0742643i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −219.955 | + | 380.973i | −0.415793 | + | 0.720175i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 59.6367 | 0.112099 | ||||||||
\(533\) | 1054.68 | + | 608.920i | 1.97876 | + | 1.14244i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 75.8230 | − | 43.7764i | 0.141461 | − | 0.0816724i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 42.7423 | − | 74.0319i | 0.0794467 | − | 0.137606i | ||||
\(539\) | − | 82.0886i | − | 0.152298i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −509.151 | −0.941129 | −0.470565 | − | 0.882365i | \(-0.655950\pi\) | ||||
−0.470565 | + | 0.882365i | \(0.655950\pi\) | |||||||
\(542\) | −336.359 | − | 194.197i | −0.620588 | − | 0.358297i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −5.39388 | − | 9.34247i | −0.00991521 | − | 0.0171737i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 274.022 | − | 474.620i | 0.500955 | − | 0.867679i | −0.499045 | − | 0.866576i | \(-0.666316\pi\) |
0.999999 | − | 0.00110267i | \(-0.000350992\pi\) | |||||||
\(548\) | 469.368i | 0.856511i | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 13.3791 | + | 7.72442i | 0.0242815 | + | 0.0140189i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 94.4092 | + | 163.522i | 0.170722 | + | 0.295699i | ||||
\(554\) | 60.0125 | − | 34.6482i | 0.108326 | − | 0.0625419i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 106.530 | − | 184.516i | 0.191601 | − | 0.331862i | ||||
\(557\) | 406.542i | 0.729879i | 0.931031 | + | 0.364939i | \(0.118910\pi\) | ||||
−0.931031 | + | 0.364939i | \(0.881090\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 18.8025 | 0.0336360 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −242.598 | − | 420.192i | −0.431669 | − | 0.747673i | ||||
\(563\) | −525.220 | + | 303.236i | −0.932895 | + | 0.538607i | −0.887726 | − | 0.460372i | \(-0.847716\pi\) |
−0.0451687 | + | 0.998979i | \(0.514383\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 485.653i | 0.858045i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −242.969 | −0.427763 | ||||||||
\(569\) | 224.954 | + | 129.877i | 0.395350 | + | 0.228255i | 0.684476 | − | 0.729036i | \(-0.260031\pi\) |
−0.289126 | + | 0.957291i | \(0.593365\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 43.9166 | + | 76.0657i | 0.0769117 | + | 0.133215i | 0.901916 | − | 0.431911i | \(-0.142161\pi\) |
−0.825004 | + | 0.565126i | \(0.808827\pi\) | |||||||
\(572\) | 322.015 | − | 185.915i | 0.562963 | − | 0.325027i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −277.553 | + | 480.736i | −0.483541 | + | 0.837518i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 132.091 | 0.228927 | 0.114463 | − | 0.993427i | \(-0.463485\pi\) | ||||
0.114463 | + | 0.993427i | \(0.463485\pi\) | |||||||
\(578\) | −349.497 | − | 201.782i | −0.604666 | − | 0.349104i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −483.302 | + | 279.034i | −0.831844 | + | 0.480266i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −45.0000 | + | 77.9423i | −0.0771870 | + | 0.133692i | ||||
\(584\) | − | 271.786i | − | 0.465387i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 405.106 | 0.691306 | ||||||||
\(587\) | −491.614 | − | 283.833i | −0.837502 | − | 0.483532i | 0.0189125 | − | 0.999821i | \(-0.493980\pi\) |
−0.856414 | + | 0.516289i | \(0.827313\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 96.3939 | + | 166.959i | 0.163657 | + | 0.283462i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 34.6061 | − | 59.9396i | 0.0584563 | − | 0.101249i | ||||
\(593\) | 77.0321i | 0.129902i | 0.997888 | + | 0.0649512i | \(0.0206892\pi\) | ||||
−0.997888 | + | 0.0649512i | \(0.979311\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 182.060 | + | 105.113i | 0.305470 | + | 0.176363i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −131.462 | − | 227.699i | −0.219836 | − | 0.380767i | ||||
\(599\) | 764.917 | − | 441.625i | 1.27699 | − | 0.737270i | 0.300696 | − | 0.953720i | \(-0.402781\pi\) |
0.976294 | + | 0.216450i | \(0.0694479\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 397.545 | − | 688.569i | 0.661473 | − | 1.14571i | −0.318755 | − | 0.947837i | \(-0.603265\pi\) |
0.980229 | − | 0.197868i | \(-0.0634018\pi\) | |||||||
\(602\) | 8.57042i | 0.0142366i | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 570.454 | 0.944460 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −148.372 | − | 256.987i | −0.244434 | − | 0.423373i | 0.717538 | − | 0.696519i | \(-0.245269\pi\) |
−0.961972 | + | 0.273147i | \(0.911936\pi\) | |||||||
\(608\) | 23.0102 | − | 13.2849i | 0.0378457 | − | 0.0218502i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 277.924i | − | 0.454868i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 517.181 | 0.843688 | 0.421844 | − | 0.906668i | \(-0.361383\pi\) | ||||
0.421844 | + | 0.906668i | \(0.361383\pi\) | |||||||
\(614\) | 188.722 | + | 108.959i | 0.307365 | + | 0.177457i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 84.7423 | + | 146.778i | 0.137569 | + | 0.238276i | ||||
\(617\) | −229.909 | + | 132.738i | −0.372623 | + | 0.215134i | −0.674604 | − | 0.738180i | \(-0.735686\pi\) |
0.301981 | + | 0.953314i | \(0.402352\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 98.5227 | − | 170.646i | 0.159164 | − | 0.275681i | −0.775403 | − | 0.631466i | \(-0.782453\pi\) |
0.934568 | + | 0.355786i | \(0.115787\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −101.803 | −0.163670 | ||||||||
\(623\) | 227.486 | + | 131.339i | 0.365146 | + | 0.210817i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 450.224 | − | 259.937i | 0.719207 | − | 0.415234i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 197.182 | − | 341.529i | 0.313983 | − | 0.543835i | ||||
\(629\) | 32.9973i | 0.0524600i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −160.879 | −0.254958 | −0.127479 | − | 0.991841i | \(-0.540689\pi\) | ||||
−0.127479 | + | 0.991841i | \(0.540689\pi\) | |||||||
\(632\) | 72.8536 | + | 42.0620i | 0.115275 | + | 0.0665538i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 76.0829 | + | 131.779i | 0.120005 | + | 0.207854i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −85.6515 | + | 148.353i | −0.134461 | + | 0.232893i | ||||
\(638\) | 43.9048i | 0.0688164i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 267.894 | + | 154.669i | 0.417931 | + | 0.241293i | 0.694192 | − | 0.719790i | \(-0.255762\pi\) |
−0.276261 | + | 0.961083i | \(0.589095\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 197.296 | + | 341.726i | 0.306836 | + | 0.531456i | 0.977668 | − | 0.210153i | \(-0.0673963\pi\) |
−0.670832 | + | 0.741609i | \(0.734063\pi\) | |||||||
\(644\) | 103.788 | − | 59.9219i | 0.161161 | − | 0.0930464i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −6.33368 | + | 10.9703i | −0.00980445 | + | 0.0169818i | ||||
\(647\) | − | 418.736i | − | 0.647196i | −0.946195 | − | 0.323598i | \(-0.895108\pi\) | ||
0.946195 | − | 0.323598i | \(-0.104892\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 863.908 | 1.33114 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 249.060 | + | 431.385i | 0.381994 | + | 0.661633i | ||||
\(653\) | −459.621 | + | 265.363i | −0.703861 | + | 0.406375i | −0.808784 | − | 0.588106i | \(-0.799874\pi\) |
0.104923 | + | 0.994480i | \(0.466540\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 247.316i | 0.377006i | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 126.681 | 0.192524 | ||||||||
\(659\) | −310.204 | − | 179.096i | −0.470719 | − | 0.271770i | 0.245822 | − | 0.969315i | \(-0.420942\pi\) |
−0.716541 | + | 0.697545i | \(0.754276\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 111.136 | + | 192.493i | 0.168133 | + | 0.291214i | 0.937763 | − | 0.347275i | \(-0.112893\pi\) |
−0.769631 | + | 0.638489i | \(0.779560\pi\) | |||||||
\(662\) | 21.0625 | − | 12.1604i | 0.0318165 | − | 0.0183692i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −124.318 | + | 215.325i | −0.187226 | + | 0.324284i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 31.0454 | 0.0465448 | ||||||||
\(668\) | −83.8944 | − | 48.4365i | −0.125590 | − | 0.0725097i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −613.810 | + | 354.383i | −0.914769 | + | 0.528142i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −144.606 | + | 250.464i | −0.214867 | + | 0.372161i | −0.953231 | − | 0.302241i | \(-0.902265\pi\) |
0.738364 | + | 0.674402i | \(0.235599\pi\) | |||||||
\(674\) | − | 515.331i | − | 0.764586i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −437.939 | −0.647838 | ||||||||
\(677\) | 402.227 | + | 232.226i | 0.594131 | + | 0.343022i | 0.766729 | − | 0.641971i | \(-0.221883\pi\) |
−0.172598 | + | 0.984992i | \(0.555216\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −304.341 | − | 527.134i | −0.448220 | − | 0.776339i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −273.947 | + | 474.490i | −0.401681 | + | 0.695733i | ||||
\(683\) | − | 1126.36i | − | 1.64913i | −0.565767 | − | 0.824565i | \(-0.691420\pi\) | ||
0.565767 | − | 0.824565i | \(-0.308580\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −448.608 | − | 259.004i | −0.653948 | − | 0.377557i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.90918 | + | 3.30680i | 0.00277498 | + | 0.00480640i | ||||
\(689\) | 162.650 | − | 93.9063i | 0.236067 | − | 0.136294i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −518.841 | + | 898.658i | −0.750855 | + | 1.30052i | 0.196554 | + | 0.980493i | \(0.437025\pi\) |
−0.947409 | + | 0.320025i | \(0.896309\pi\) | |||||||
\(692\) | 200.883i | 0.290293i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −825.044 | −1.18882 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −58.9546 | − | 102.112i | −0.0845833 | − | 0.146503i | ||||
\(698\) | 383.048 | − | 221.153i | 0.548779 | − | 0.316838i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 778.180i | − | 1.11010i | −0.831817 | − | 0.555050i | \(-0.812699\pi\) | ||
0.831817 | − | 0.555050i | \(-0.187301\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −81.2714 | −0.115607 | ||||||||
\(704\) | 65.3939 | + | 37.7552i | 0.0928890 | + | 0.0536295i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 26.5982 | + | 46.0695i | 0.0376745 | + | 0.0652542i | ||||
\(707\) | 868.296 | − | 501.311i | 1.22814 | − | 0.709068i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 586.014 | − | 1015.01i | 0.826536 | − | 1.43160i | −0.0742031 | − | 0.997243i | \(-0.523641\pi\) |
0.900739 | − | 0.434360i | \(-0.143025\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 117.031 | 0.164369 | ||||||||
\(713\) | 335.515 | + | 193.710i | 0.470568 | + | 0.271682i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 493.757 | − | 285.071i | 0.689605 | − | 0.398144i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −207.909 | + | 360.109i | −0.289567 | + | 0.501545i | ||||
\(719\) | 515.416i | 0.716851i | 0.933558 | + | 0.358426i | \(0.116686\pi\) | ||||
−0.933558 | + | 0.358426i | \(0.883314\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 184.970 | 0.256547 | ||||||||
\(722\) | 415.114 | + | 239.666i | 0.574949 | + | 0.331947i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 37.1214 | + | 64.2962i | 0.0512727 | + | 0.0888069i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −420.704 | + | 728.681i | −0.578685 | + | 1.00231i | 0.416945 | + | 0.908932i | \(0.363101\pi\) |
−0.995630 | + | 0.0933809i | \(0.970233\pi\) | |||||||
\(728\) | − | 353.682i | − | 0.485827i | ||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −1.57654 | − | 0.910215i | −0.00215669 | − | 0.00124516i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 303.181 | + | 525.125i | 0.413617 | + | 0.716405i | 0.995282 | − | 0.0970229i | \(-0.0309320\pi\) |
−0.581665 | + | 0.813428i | \(0.697599\pi\) | |||||||
\(734\) | 40.6946 | − | 23.4951i | 0.0554423 | − | 0.0320096i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 26.6969 | − | 46.2405i | 0.0362730 | − | 0.0628267i | ||||
\(737\) | − | 292.174i | − | 0.396437i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −389.362 | −0.526877 | −0.263439 | − | 0.964676i | \(-0.584857\pi\) | ||||
−0.263439 | + | 0.964676i | \(0.584857\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 42.8036 | + | 74.1380i | 0.0576868 | + | 0.0999164i | ||||
\(743\) | 904.779 | − | 522.375i | 1.21774 | − | 0.703061i | 0.253304 | − | 0.967387i | \(-0.418483\pi\) |
0.964434 | + | 0.264325i | \(0.0851492\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 318.240i | 0.426595i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −36.0000 | −0.0481283 | ||||||||
\(749\) | 944.574 | + | 545.350i | 1.26111 | + | 0.728105i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 645.916 | + | 1118.76i | 0.860074 | + | 1.48969i | 0.871857 | + | 0.489761i | \(0.162916\pi\) |
−0.0117826 | + | 0.999931i | \(0.503751\pi\) | |||||||
\(752\) | 48.8786 | − | 28.2201i | 0.0649981 | − | 0.0375267i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 45.8105 | − | 79.3460i | 0.0607566 | − | 0.105233i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1042.36 | −1.37697 | −0.688483 | − | 0.725252i | \(-0.741723\pi\) | ||||
−0.688483 | + | 0.725252i | \(0.741723\pi\) | |||||||
\(758\) | 203.716 | + | 117.616i | 0.268755 | + | 0.155166i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 281.607 | − | 162.586i | 0.370048 | − | 0.213647i | −0.303431 | − | 0.952853i | \(-0.598132\pi\) |
0.673479 | + | 0.739206i | \(0.264799\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 369.076 | − | 639.258i | 0.483717 | − | 0.837822i | ||||
\(764\) | 35.8481i | 0.0469217i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1042.26 | 1.36065 | ||||||||
\(767\) | −1561.28 | − | 901.405i | −2.03557 | − | 1.17523i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −171.348 | − | 296.783i | −0.222819 | − | 0.385934i | 0.732844 | − | 0.680397i | \(-0.238193\pi\) |
−0.955663 | + | 0.294463i | \(0.904859\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 95.4541 | − | 165.331i | 0.123645 | − | 0.214160i | ||||
\(773\) | − | 532.579i | − | 0.688977i | −0.938791 | − | 0.344488i | \(-0.888052\pi\) | ||
0.938791 | − | 0.344488i | \(-0.111948\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −234.854 | − | 135.593i | −0.302646 | − | 0.174733i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −119.765 | − | 207.439i | −0.153940 | − | 0.266631i | ||||
\(779\) | 251.499 | − | 145.203i | 0.322849 | − | 0.186397i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −405.409 | + | 702.188i | −0.519089 | + | 0.899089i | ||||
\(782\) | 25.4558i | 0.0325522i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −34.7878 | −0.0443721 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −51.9768 | − | 90.0264i | −0.0660442 | − | 0.114392i | 0.831113 | − | 0.556104i | \(-0.187704\pi\) |
−0.897157 | + | 0.441712i | \(0.854371\pi\) | |||||||
\(788\) | 277.757 | − | 160.363i | 0.352484 | − | 0.203507i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | − | 1284.07i | − | 1.62335i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1479.06 | 1.86514 | ||||||||
\(794\) | −313.868 | − | 181.212i | −0.395300 | − | 0.228227i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 6.51531 | + | 11.2848i | 0.00818506 | + | 0.0141769i | ||||
\(797\) | −956.331 | + | 552.138i | −1.19991 | + | 0.692770i | −0.960536 | − | 0.278156i | \(-0.910277\pi\) |
−0.239378 | + | 0.970927i | \(0.576943\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −13.4541 | + | 23.3031i | −0.0168386 | + | 0.0291654i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 369.650 | 0.460911 | ||||||||
\(803\) | −785.469 | − | 453.491i | −0.978168 | − | 0.564746i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 990.168 | − | 571.674i | 1.22850 | − | 0.709273i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 223.348 | − | 386.851i | 0.276421 | − | 0.478776i | ||||
\(809\) | 256.465i | 0.317015i | 0.987358 | + | 0.158508i | \(0.0506683\pi\) | ||||
−0.987358 | + | 0.158508i | \(0.949332\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 735.362 | 0.906735 | 0.453368 | − | 0.891324i | \(-0.350222\pi\) | ||||
0.453368 | + | 0.891324i | \(0.350222\pi\) | |||||||
\(812\) | 36.1668 | + | 20.8809i | 0.0445404 | + | 0.0257154i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −115.485 | − | 200.025i | −0.141873 | − | 0.245731i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.24183 | − | 3.88296i | 0.00274398 | − | 0.00475271i | ||||
\(818\) | − | 627.611i | − | 0.767250i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −1078.45 | − | 622.645i | −1.31358 | − | 0.758398i | −0.330896 | − | 0.943667i | \(-0.607351\pi\) |
−0.982688 | + | 0.185269i | \(0.940684\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −771.129 | − | 1335.63i | −0.936973 | − | 1.62288i | −0.771077 | − | 0.636742i | \(-0.780282\pi\) |
−0.165896 | − | 0.986143i | \(-0.553052\pi\) | |||||||
\(824\) | 71.3689 | − | 41.2048i | 0.0866127 | − | 0.0500059i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 410.871 | − | 711.649i | 0.497422 | − | 0.861560i | ||||
\(827\) | 955.707i | 1.15563i | 0.816167 | + | 0.577815i | \(0.196095\pi\) | ||||
−0.816167 | + | 0.577815i | \(0.803905\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1082.88 | 1.30625 | 0.653123 | − | 0.757252i | \(-0.273458\pi\) | ||||
0.653123 | + | 0.757252i | \(0.273458\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −78.7878 | − | 136.464i | −0.0946968 | − | 0.164020i | ||||
\(833\) | 14.3633 | − | 8.29263i | 0.0172428 | − | 0.00995514i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | − | 88.6669i | − | 0.106061i | ||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 15.2281 | 0.0181719 | ||||||||
\(839\) | −903.778 | − | 521.797i | −1.07721 | − | 0.621927i | −0.147067 | − | 0.989127i | \(-0.546983\pi\) |
−0.930142 | + | 0.367200i | \(0.880317\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −415.091 | − | 718.958i | −0.493568 | − | 0.854885i | ||||
\(842\) | 311.456 | − | 179.819i | 0.369901 | − | 0.213562i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −154.439 | + | 267.497i | −0.182985 | + | 0.316939i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −202.574 | −0.239167 | ||||||||
\(848\) | 33.0306 | + | 19.0702i | 0.0389512 | + | 0.0224885i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −141.439 | + | 81.6600i | −0.166204 | + | 0.0959577i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 236.909 | − | 410.338i | 0.277736 | − | 0.481053i | −0.693086 | − | 0.720855i | \(-0.743749\pi\) |
0.970822 | + | 0.239802i | \(0.0770827\pi\) | |||||||
\(854\) | 674.172i | 0.789429i | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 485.939 | 0.567685 | ||||||||
\(857\) | 793.939 | + | 458.381i | 0.926417 | + | 0.534867i | 0.885677 | − | 0.464303i | \(-0.153695\pi\) |
0.0407403 | + | 0.999170i | \(0.487028\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −478.901 | − | 829.480i | −0.557510 | − | 0.965635i | −0.997704 | − | 0.0677322i | \(-0.978424\pi\) |
0.440194 | − | 0.897903i | \(-0.354910\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 494.030 | − | 855.684i | 0.573120 | − | 0.992673i | ||||
\(863\) | − | 524.200i | − | 0.607416i | −0.952765 | − | 0.303708i | \(-0.901775\pi\) | ||
0.952765 | − | 0.303708i | \(-0.0982247\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 259.312 | + | 149.714i | 0.299437 | + | 0.172880i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 260.576 | + | 451.330i | 0.300202 | + | 0.519965i | ||||
\(869\) | 243.121 | − | 140.366i | 0.279771 | − | 0.161526i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −304.855 | + | 528.025i | −0.350006 | + | 0.606228i | ||||
\(872\) | − | 328.868i | − | 0.377142i | ||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −62.6969 | −0.0717356 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 503.878 | + | 872.742i | 0.574547 | + | 0.995145i | 0.996091 | + | 0.0883370i | \(0.0281552\pi\) |
−0.421543 | + | 0.906808i | \(0.638511\pi\) | |||||||
\(878\) | 342.760 | − | 197.893i | 0.390388 | − | 0.225390i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 1536.71i | − | 1.74428i | −0.489254 | − | 0.872141i | \(-0.662731\pi\) | ||
0.489254 | − | 0.872141i | \(-0.337269\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 294.213 | 0.333197 | 0.166599 | − | 0.986025i | \(-0.446722\pi\) | ||||
0.166599 | + | 0.986025i | \(0.446722\pi\) | |||||||
\(884\) | 65.0602 | + | 37.5625i | 0.0735975 | + | 0.0424915i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 389.796 | + | 675.146i | 0.439950 | + | 0.762016i | ||||
\(887\) | −497.794 | + | 287.402i | −0.561211 | + | 0.324015i | −0.753631 | − | 0.657297i | \(-0.771700\pi\) |
0.192420 | + | 0.981313i | \(0.438366\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −32.0306 | + | 55.4787i | −0.0360299 | + | 0.0624057i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 185.546 | 0.208011 | ||||||||
\(893\) | −57.3949 | − | 33.1370i | −0.0642720 | − | 0.0371075i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 62.2020 | − | 35.9124i | 0.0694219 | − | 0.0400808i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 383.864 | − | 664.872i | 0.427465 | − | 0.740391i | ||||
\(899\) | 135.004i | 0.150171i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −18.1837 | −0.0201817 | ||||||||
\(902\) | 714.749 | + | 412.661i | 0.792405 | + | 0.457495i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −286.045 | − | 495.445i | −0.316422 | − | 0.548059i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −255.037 | + | 441.737i | −0.281187 | + | 0.487031i | −0.971677 | − | 0.236311i | \(-0.924062\pi\) |
0.690490 | + | 0.723342i | \(0.257395\pi\) | |||||||
\(908\) | 339.604i | 0.374013i | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 803.127 | + | 463.685i | 0.881588 | + | 0.508985i | 0.871182 | − | 0.490961i | \(-0.163354\pi\) |
0.0104064 | + | 0.999946i | \(0.496687\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 414.863 | + | 718.564i | 0.454396 | + | 0.787036i | ||||
\(914\) | −113.123 | + | 65.3114i | −0.123767 | + | 0.0714567i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 407.545 | − | 705.888i | 0.444918 | − | 0.770621i | ||||
\(917\) | 31.4897i | 0.0343399i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1240.63 | −1.34998 | −0.674991 | − | 0.737826i | \(-0.735853\pi\) | ||||
−0.674991 | + | 0.737826i | \(0.735853\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −162.507 | − | 281.471i | −0.176255 | − | 0.305283i | ||||
\(923\) | 1465.33 | − | 846.010i | 1.58757 | − | 0.916587i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 722.384i | 0.780112i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 18.6061 | 0.0200497 | ||||||||
\(929\) | −293.576 | − | 169.496i | −0.316013 | − | 0.182450i | 0.333601 | − | 0.942714i | \(-0.391736\pi\) |
−0.649614 | + | 0.760264i | \(0.725069\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 20.4245 | + | 35.3763i | 0.0219382 | + | 0.0379981i | ||||
\(932\) | 26.4245 | − | 15.2562i | 0.0283525 | − | 0.0163693i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 589.485 | − | 1021.02i | 0.631140 | − | 1.09317i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1322.21 | −1.41111 | −0.705556 | − | 0.708655i | \(-0.749302\pi\) | ||||
−0.705556 | + | 0.708655i | \(0.749302\pi\) | |||||||
\(938\) | −240.680 | − | 138.957i | −0.256588 | − | 0.148141i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 310.984 | − | 179.547i | 0.330482 | − | 0.190804i | −0.325573 | − | 0.945517i | \(-0.605557\pi\) |
0.656055 | + | 0.754713i | \(0.272224\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 291.795 | − | 505.404i | 0.309433 | − | 0.535953i | ||||
\(944\) | − | 366.110i | − | 0.387828i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 12.7423 | 0.0134697 | ||||||||
\(947\) | −671.855 | − | 387.896i | −0.709457 | − | 0.409605i | 0.101403 | − | 0.994845i | \(-0.467667\pi\) |
−0.810860 | + | 0.585240i | \(0.801000\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 946.347 | + | 1639.12i | 0.997205 | + | 1.72721i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −17.1214 | + | 29.6552i | −0.0179847 | + | 0.0311504i | ||||
\(953\) | − | 465.082i | − | 0.488019i | −0.969773 | − | 0.244010i | \(-0.921537\pi\) | ||
0.969773 | − | 0.244010i | \(-0.0784628\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −97.9240 | − | 56.5364i | −0.102431 | − | 0.0591385i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 464.704 | + | 804.891i | 0.485077 | + | 0.840178i | ||||
\(959\) | 1290.28 | − | 744.942i | 1.34544 | − | 0.776791i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −361.863 | + | 626.765i | −0.376548 | + | 0.652200i | ||||
\(962\) | 481.989i | 0.501028i | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −168.424 | −0.174714 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 612.113 | + | 1060.21i | 0.633002 | + | 1.09639i | 0.986935 | + | 0.161121i | \(0.0515109\pi\) |
−0.353933 | + | 0.935271i | \(0.615156\pi\) | |||||||
\(968\) | −78.1612 | + | 45.1264i | −0.0807451 | + | 0.0466182i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 658.702i | 0.678375i | 0.940719 | + | 0.339188i | \(0.110152\pi\) | ||||
−0.940719 | + | 0.339188i | \(0.889848\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −676.303 | −0.695070 | ||||||||
\(974\) | −430.702 | − | 248.666i | −0.442199 | − | 0.255304i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 150.182 | + | 260.122i | 0.153875 | + | 0.266519i | ||||
\(977\) | 1314.92 | − | 759.170i | 1.34588 | − | 0.777042i | 0.358214 | − | 0.933639i | \(-0.383386\pi\) |
0.987663 | + | 0.156597i | \(0.0500525\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 195.272 | − | 338.222i | 0.199461 | − | 0.345477i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 347.074 | 0.353436 | ||||||||
\(983\) | 716.930 | + | 413.920i | 0.729329 | + | 0.421078i | 0.818177 | − | 0.574967i | \(-0.194985\pi\) |
−0.0888477 | + | 0.996045i | \(0.528318\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −7.68215 | + | 4.43529i | −0.00779122 | + | 0.00449826i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −92.5153 | + | 160.241i | −0.0936390 | + | 0.162187i | ||||
\(989\) | − | 9.01020i | − | 0.00911041i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 429.546 | 0.433447 | 0.216723 | − | 0.976233i | \(-0.430463\pi\) | ||||
0.216723 | + | 0.976233i | \(0.430463\pi\) | |||||||
\(992\) | 201.081 | + | 116.094i | 0.202702 | + | 0.117030i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 385.621 | + | 667.915i | 0.387949 | + | 0.671947i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −347.499 | + | 601.886i | −0.348545 | + | 0.603697i | −0.985991 | − | 0.166798i | \(-0.946657\pi\) |
0.637447 | + | 0.770495i | \(0.279991\pi\) | |||||||
\(998\) | 891.274i | 0.893060i | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))