Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1728,3,Mod(449,1728)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1728, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1728.449");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1728 = 2^{6} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 1728.q (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: | \(47.0845896815\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{-11})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} - 2x^{2} - 3x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | no (minimal twist has level 36) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 1601.2 | ||
Root | \(-1.18614 + 1.26217i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1728.1601 |
Dual form | 1728.3.q.g.449.2 |
$q$-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 \(\left(\mathbb{Z}/1728\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(703\) | \(1217\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 6.55842 | − | 3.78651i | 1.31168 | − | 0.757301i | 0.329309 | − | 0.944222i | \(-0.393184\pi\) |
0.982375 | + | 0.186921i | \(0.0598508\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.55842 | + | 7.89542i | −0.651203 | + | 1.12792i | 0.331628 | + | 0.943410i | \(0.392402\pi\) |
−0.982831 | + | 0.184507i | \(0.940931\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.383156 | − | 0.221215i | −0.0348324 | − | 0.0201105i | 0.482483 | − | 0.875906i | \(-0.339735\pi\) |
−0.517315 | + | 0.855795i | \(0.673068\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.55842 | − | 9.62747i | −0.427571 | − | 0.740575i | 0.569086 | − | 0.822278i | \(-0.307297\pi\) |
−0.996657 | + | 0.0817036i | \(0.973964\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | − | 8.01544i | − | 0.471497i | −0.971814 | − | 0.235748i | \(-0.924246\pi\) | ||
0.971814 | − | 0.235748i | \(-0.0757541\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 8.11684 | 0.427202 | 0.213601 | − | 0.976921i | \(-0.431481\pi\) | ||||
0.213601 | + | 0.976921i | \(0.431481\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −20.4416 | + | 11.8020i | −0.888764 | + | 0.513128i | −0.873538 | − | 0.486756i | \(-0.838180\pi\) |
−0.0152262 | + | 0.999884i | \(0.504847\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 16.1753 | − | 28.0164i | 0.647011 | − | 1.12066i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −45.9090 | − | 26.5055i | −1.58307 | − | 0.913984i | −0.994408 | − | 0.105603i | \(-0.966323\pi\) |
−0.588659 | − | 0.808381i | \(-0.700344\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −14.6753 | − | 25.4183i | −0.473396 | − | 0.819945i | 0.526141 | − | 0.850398i | \(-0.323639\pi\) |
−0.999536 | + | 0.0304523i | \(0.990305\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 69.0420i | 1.97263i | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −18.4674 | −0.499118 | −0.249559 | − | 0.968360i | \(-0.580286\pi\) | ||||
−0.249559 | + | 0.968360i | \(0.580286\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 38.9674 | − | 22.4978i | 0.950424 | − | 0.548727i | 0.0572112 | − | 0.998362i | \(-0.481779\pi\) |
0.893213 | + | 0.449635i | \(0.148446\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 11.5000 | − | 19.9186i | 0.267442 | − | 0.463223i | −0.700759 | − | 0.713398i | \(-0.747155\pi\) |
0.968200 | + | 0.250176i | \(0.0804883\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 7.32473 | + | 4.22894i | 0.155845 | + | 0.0899774i | 0.575895 | − | 0.817524i | \(-0.304654\pi\) |
−0.420049 | + | 0.907501i | \(0.637987\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −17.0584 | − | 29.5461i | −0.348131 | − | 0.602981i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 60.5841i | − | 1.14310i | −0.820569 | − | 0.571548i | \(-0.806343\pi\) | ||
0.820569 | − | 0.571548i | \(-0.193657\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.35053 | −0.0609188 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 65.9674 | − | 38.0863i | 1.11809 | − | 0.645530i | 0.177178 | − | 0.984179i | \(-0.443303\pi\) |
0.940913 | + | 0.338649i | \(0.109970\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.67527 | − | 4.63370i | 0.0438568 | − | 0.0759622i | −0.843264 | − | 0.537500i | \(-0.819369\pi\) |
0.887121 | + | 0.461538i | \(0.152702\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −72.9090 | − | 42.0940i | −1.12168 | − | 0.647600i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −54.8505 | − | 95.0039i | −0.818665 | − | 1.41797i | −0.906666 | − | 0.421848i | \(-0.861381\pi\) |
0.0880017 | − | 0.996120i | \(-0.471952\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 16.0309i | 0.225787i | 0.993607 | + | 0.112894i | \(0.0360119\pi\) | ||||
−0.993607 | + | 0.112894i | \(0.963988\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.35053 | −0.0595963 | −0.0297982 | − | 0.999556i | \(-0.509486\pi\) | ||||
−0.0297982 | + | 0.999556i | \(0.509486\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.49317 | − | 2.01678i | 0.0453659 | − | 0.0261920i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.792110 | + | 1.37197i | −0.0100267 | + | 0.0173668i | −0.870995 | − | 0.491291i | \(-0.836525\pi\) |
0.860969 | + | 0.508658i | \(0.169858\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −7.32473 | − | 4.22894i | −0.0882498 | − | 0.0509511i | 0.455226 | − | 0.890376i | \(-0.349559\pi\) |
−0.543475 | + | 0.839425i | \(0.682892\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −30.3505 | − | 52.5687i | −0.357065 | − | 0.618455i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 64.1236i | 0.720489i | 0.932858 | + | 0.360245i | \(0.117307\pi\) | ||||
−0.932858 | + | 0.360245i | \(0.882693\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 101.351 | 1.11374 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 53.2337 | − | 30.7345i | 0.560355 | − | 0.323521i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −57.6168 | + | 99.7953i | −0.593988 | + | 1.02882i | 0.399701 | + | 0.916646i | \(0.369114\pi\) |
−0.993689 | + | 0.112172i | \(0.964219\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 114.558 | + | 66.1403i | 1.13424 | + | 0.654855i | 0.944998 | − | 0.327075i | \(-0.106063\pi\) |
0.189244 | + | 0.981930i | \(0.439396\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −62.6753 | − | 108.557i | −0.608498 | − | 1.05395i | −0.991488 | − | 0.130197i | \(-0.958439\pi\) |
0.382990 | − | 0.923752i | \(-0.374894\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − | 36.5378i | − | 0.341475i | −0.985317 | − | 0.170737i | \(-0.945385\pi\) | ||
0.985317 | − | 0.170737i | \(-0.0546149\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −134.701 | −1.23579 | −0.617895 | − | 0.786261i | \(-0.712014\pi\) | ||||
−0.617895 | + | 0.786261i | \(0.712014\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 164.727 | − | 95.1051i | 1.45776 | − | 0.841638i | 0.458859 | − | 0.888509i | \(-0.348258\pi\) |
0.998901 | + | 0.0468711i | \(0.0149250\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −89.3763 | + | 154.804i | −0.777185 | + | 1.34612i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 63.2853 | + | 36.5378i | 0.531809 | + | 0.307040i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −60.4021 | − | 104.620i | −0.499191 | − | 0.864624i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 55.6657i | − | 0.445325i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 184.103 | 1.44963 | 0.724816 | − | 0.688943i | \(-0.241925\pi\) | ||||
0.724816 | + | 0.688943i | \(0.241925\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −109.194 | + | 63.0433i | −0.833544 | + | 0.481247i | −0.855064 | − | 0.518522i | \(-0.826483\pi\) |
0.0215207 | + | 0.999768i | \(0.493149\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −37.0000 | + | 64.0859i | −0.278195 | + | 0.481849i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −107.617 | − | 62.1326i | −0.785524 | − | 0.453523i | 0.0528602 | − | 0.998602i | \(-0.483166\pi\) |
−0.838385 | + | 0.545079i | \(0.816500\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 13.3832 | + | 23.1803i | 0.0962817 | + | 0.166765i | 0.910143 | − | 0.414295i | \(-0.135972\pi\) |
−0.813861 | + | 0.581059i | \(0.802638\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 4.91843i | 0.0343946i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −401.454 | −2.76865 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 69.8437 | − | 40.3243i | 0.468750 | − | 0.270633i | −0.246966 | − | 0.969024i | \(-0.579434\pi\) |
0.715716 | + | 0.698391i | \(0.246100\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −49.9742 | + | 86.5579i | −0.330955 | + | 0.573231i | −0.982699 | − | 0.185208i | \(-0.940704\pi\) |
0.651744 | + | 0.758439i | \(0.274037\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −192.493 | − | 111.136i | −1.24189 | − | 0.717006i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −34.7269 | − | 60.1487i | −0.221190 | − | 0.383113i | 0.733979 | − | 0.679172i | \(-0.237661\pi\) |
−0.955170 | + | 0.296059i | \(0.904327\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 215.193i | − | 1.33660i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −162.467 | −0.996732 | −0.498366 | − | 0.866967i | \(-0.666066\pi\) | ||||
−0.498366 | + | 0.866967i | \(0.666066\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −83.7269 | + | 48.3397i | −0.501358 | + | 0.289459i | −0.729274 | − | 0.684221i | \(-0.760142\pi\) |
0.227916 | + | 0.973681i | \(0.426809\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 22.7079 | − | 39.3312i | 0.134366 | − | 0.232729i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −24.2731 | − | 14.0141i | −0.140307 | − | 0.0810064i | 0.428203 | − | 0.903682i | \(-0.359147\pi\) |
−0.568510 | + | 0.822676i | \(0.692480\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 147.467 | + | 255.421i | 0.842671 | + | 1.45955i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 35.6012i | 0.198889i | 0.995043 | + | 0.0994447i | \(0.0317067\pi\) | ||||
−0.995043 | + | 0.0994447i | \(0.968293\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 19.6358 | 0.108485 | 0.0542426 | − | 0.998528i | \(-0.482726\pi\) | ||||
0.0542426 | + | 0.998528i | \(0.482726\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −121.117 | + | 69.9268i | −0.654686 | + | 0.377983i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.77314 | + | 3.07117i | −0.00948202 | + | 0.0164233i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −188.662 | − | 108.924i | −0.987757 | − | 0.570282i | −0.0831540 | − | 0.996537i | \(-0.526499\pi\) |
−0.904603 | + | 0.426255i | \(0.859833\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 24.5000 | + | 42.4352i | 0.126943 | + | 0.219872i | 0.922491 | − | 0.386019i | \(-0.126150\pi\) |
−0.795548 | + | 0.605891i | \(0.792817\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 359.965i | − | 1.82723i | −0.406575 | − | 0.913617i | \(-0.633277\pi\) | ||
0.406575 | − | 0.913617i | \(-0.366723\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −61.0652 | −0.306861 | −0.153430 | − | 0.988159i | \(-0.549032\pi\) | ||||
−0.153430 | + | 0.988159i | \(0.549032\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 418.545 | − | 241.647i | 2.06180 | − | 1.19038i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 170.376 | − | 295.100i | 0.831104 | − | 1.43951i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −3.11002 | − | 1.79557i | −0.0148805 | − | 0.00859124i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 193.493 | + | 335.140i | 0.917029 | + | 1.58834i | 0.803903 | + | 0.594761i | \(0.202753\pi\) |
0.113126 | + | 0.993581i | \(0.463913\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | − | 174.179i | − | 0.810136i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 267.584 | 1.23311 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −77.1684 | + | 44.5532i | −0.349178 | + | 0.201598i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −51.3763 | + | 88.9864i | −0.230387 | + | 0.399042i | −0.957922 | − | 0.287028i | \(-0.907333\pi\) |
0.727535 | + | 0.686071i | \(0.240666\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −293.552 | − | 169.482i | −1.29318 | − | 0.746617i | −0.313962 | − | 0.949435i | \(-0.601657\pi\) |
−0.979216 | + | 0.202818i | \(0.934990\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −148.376 | − | 256.995i | −0.647932 | − | 1.12225i | −0.983616 | − | 0.180276i | \(-0.942301\pi\) |
0.335685 | − | 0.941974i | \(-0.391032\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | − | 346.537i | − | 1.48728i | −0.668578 | − | 0.743642i | \(-0.733097\pi\) | ||
0.668578 | − | 0.743642i | \(-0.266903\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 64.0516 | 0.272560 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 140.026 | − | 80.8439i | 0.585882 | − | 0.338259i | −0.177586 | − | 0.984105i | \(-0.556829\pi\) |
0.763468 | + | 0.645846i | \(0.223495\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 162.370 | − | 281.232i | 0.673732 | − | 1.16694i | −0.303105 | − | 0.952957i | \(-0.598023\pi\) |
0.976838 | − | 0.213982i | \(-0.0686433\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −223.753 | − | 129.184i | −0.913276 | − | 0.527280i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −45.1168 | − | 78.1447i | −0.182659 | − | 0.316375i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 384.012i | 1.52993i | 0.644074 | + | 0.764963i | \(0.277243\pi\) | ||||
−0.644074 | + | 0.764963i | \(0.722757\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 10.4431 | 0.0412770 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 11.2011 | − | 6.46694i | 0.0435839 | − | 0.0251632i | −0.478050 | − | 0.878333i | \(-0.658656\pi\) |
0.521634 | + | 0.853170i | \(0.325323\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 84.1821 | − | 145.808i | 0.325027 | − | 0.562964i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 42.8437 | + | 24.7358i | 0.162904 | + | 0.0940526i | 0.579236 | − | 0.815160i | \(-0.303351\pi\) |
−0.416332 | + | 0.909213i | \(0.636684\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −229.402 | − | 397.336i | −0.865668 | − | 1.49938i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − | 21.4434i | − | 0.0797154i | −0.999205 | − | 0.0398577i | \(-0.987310\pi\) | ||
0.999205 | − | 0.0398577i | \(-0.0126905\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −326.907 | −1.20630 | −0.603150 | − | 0.797628i | \(-0.706088\pi\) | ||||
−0.603150 | + | 0.797628i | \(0.706088\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −12.3953 | + | 7.15643i | −0.0450738 | + | 0.0260234i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −238.727 | + | 413.487i | −0.861830 | + | 1.49273i | 0.00833105 | + | 0.999965i | \(0.497348\pi\) |
−0.870161 | + | 0.492768i | \(0.835985\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 103.064 | + | 59.5039i | 0.366775 | + | 0.211758i | 0.672049 | − | 0.740507i | \(-0.265415\pi\) |
−0.305274 | + | 0.952265i | \(0.598748\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −195.675 | − | 338.920i | −0.691432 | − | 1.19760i | −0.971369 | − | 0.237577i | \(-0.923647\pi\) |
0.279937 | − | 0.960018i | \(-0.409687\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 410.218i | 1.42933i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 224.753 | 0.777691 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 62.0910 | − | 35.8483i | 0.211915 | − | 0.122349i | −0.390286 | − | 0.920694i | \(-0.627624\pi\) |
0.602201 | + | 0.798345i | \(0.294291\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 288.428 | − | 499.572i | 0.977722 | − | 1.69346i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 227.246 | + | 131.200i | 0.760020 | + | 0.438797i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 104.844 | + | 181.595i | 0.348318 | + | 0.603304i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | − | 40.5196i | − | 0.132851i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 172.351 | 0.561402 | 0.280701 | − | 0.959795i | \(-0.409433\pi\) | ||||
0.280701 | + | 0.959795i | \(0.409433\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 524.246 | − | 302.673i | 1.68568 | − | 0.973227i | 0.727915 | − | 0.685667i | \(-0.240489\pi\) |
0.957763 | − | 0.287559i | \(-0.0928438\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −163.734 | + | 283.595i | −0.523111 | + | 0.906055i | 0.476527 | + | 0.879160i | \(0.341895\pi\) |
−0.999638 | + | 0.0268949i | \(0.991438\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −59.7921 | − | 34.5210i | −0.188619 | − | 0.108899i | 0.402717 | − | 0.915325i | \(-0.368066\pi\) |
−0.591336 | + | 0.806425i | \(0.701399\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 11.7269 | + | 20.3115i | 0.0367613 | + | 0.0636725i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 65.0601i | − | 0.201424i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −359.636 | −1.10657 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −66.7785 | + | 38.5546i | −0.202974 | + | 0.117187i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 254.895 | − | 441.492i | 0.770076 | − | 1.33381i | −0.167444 | − | 0.985882i | \(-0.553551\pi\) |
0.937521 | − | 0.347930i | \(-0.113115\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −719.466 | − | 415.384i | −2.14766 | − | 1.23995i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 168.720 | + | 292.232i | 0.500653 | + | 0.867156i | 1.00000 | 0.000754096i | \(0.000240036\pi\) | |
−0.499347 | + | 0.866402i | \(0.666427\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.9856i | 0.0380808i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −135.687 | −0.395590 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 186.407 | − | 107.622i | 0.537197 | − | 0.310151i | −0.206745 | − | 0.978395i | \(-0.566287\pi\) |
0.743942 | + | 0.668244i | \(0.232954\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 181.012 | − | 313.522i | 0.518659 | − | 0.898345i | −0.481105 | − | 0.876663i | \(-0.659765\pi\) |
0.999765 | − | 0.0216818i | \(-0.00690207\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 506.486 | + | 292.420i | 1.43481 | + | 0.828385i | 0.997482 | − | 0.0709189i | \(-0.0225932\pi\) |
0.437323 | + | 0.899304i | \(0.355926\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 60.7011 | + | 105.137i | 0.170989 | + | 0.296161i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 393.693i | 1.09664i | 0.836269 | + | 0.548319i | \(0.184732\pi\) | ||||
−0.836269 | + | 0.548319i | \(0.815268\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −295.117 | −0.817498 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −28.5326 | + | 16.4733i | −0.0781716 | + | 0.0451324i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −190.428 | + | 329.831i | −0.518877 | + | 0.898722i | 0.480882 | + | 0.876785i | \(0.340316\pi\) |
−0.999759 | + | 0.0219364i | \(0.993017\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 478.337 | + | 276.168i | 1.28932 | + | 0.744388i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 66.4416 | + | 115.080i | 0.178128 | + | 0.308526i | 0.941239 | − | 0.337741i | \(-0.109663\pi\) |
−0.763112 | + | 0.646267i | \(0.776329\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 589.316i | 1.56317i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −507.622 | −1.33937 | −0.669686 | − | 0.742644i | \(-0.733571\pi\) | ||||
−0.669686 | + | 0.742644i | \(0.733571\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −287.466 | + | 165.968i | −0.750564 | + | 0.433338i | −0.825898 | − | 0.563820i | \(-0.809331\pi\) |
0.0753339 | + | 0.997158i | \(0.475998\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 15.2731 | − | 26.4539i | 0.0396705 | − | 0.0687113i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 296.662 | + | 171.278i | 0.762626 | + | 0.440302i | 0.830238 | − | 0.557409i | \(-0.188205\pi\) |
−0.0676116 | + | 0.997712i | \(0.521538\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 94.5979 | + | 163.848i | 0.241938 | + | 0.419049i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 11.9973i | 0.0303730i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 24.8043 | 0.0624792 | 0.0312396 | − | 0.999512i | \(-0.490055\pi\) | ||||
0.0312396 | + | 0.999512i | \(0.490055\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −52.0842 | + | 30.0708i | −0.129886 | + | 0.0749896i | −0.563535 | − | 0.826092i | \(-0.690559\pi\) |
0.433649 | + | 0.901082i | \(0.357226\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −163.143 | + | 282.571i | −0.404820 | + | 0.701170i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.07589 | + | 4.08526i | 0.0173855 | + | 0.0100375i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 240.720 | + | 416.939i | 0.588558 | + | 1.01941i | 0.994422 | + | 0.105478i | \(0.0336373\pi\) |
−0.405864 | + | 0.913933i | \(0.633029\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 694.453i | 1.68149i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −64.0516 | −0.154341 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −479.531 | + | 276.857i | −1.14447 | + | 0.660758i | −0.947533 | − | 0.319659i | \(-0.896432\pi\) |
−0.196933 | + | 0.980417i | \(0.563098\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −190.947 | + | 330.730i | −0.453556 | + | 0.785581i | −0.998604 | − | 0.0528233i | \(-0.983178\pi\) |
0.545048 | + | 0.838405i | \(0.316511\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −224.564 | − | 129.652i | −0.528385 | − | 0.305063i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 24.3900 | + | 42.2447i | 0.0571194 | + | 0.0989337i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 821.321i | 1.90562i | 0.303570 | + | 0.952809i | \(0.401821\pi\) | ||||
−0.303570 | + | 0.952809i | \(0.598179\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −199.155 | −0.459942 | −0.229971 | − | 0.973198i | \(-0.573863\pi\) | ||||
−0.229971 | + | 0.973198i | \(0.573863\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −165.921 | + | 95.7946i | −0.379682 | + | 0.219210i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 240.830 | − | 417.130i | 0.548588 | − | 0.950182i | −0.449784 | − | 0.893137i | \(-0.648499\pi\) |
0.998372 | − | 0.0570445i | \(-0.0181677\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −467.902 | − | 270.143i | −1.05621 | − | 0.609805i | −0.131830 | − | 0.991272i | \(-0.542085\pi\) |
−0.924382 | + | 0.381468i | \(0.875419\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 242.804 | + | 420.549i | 0.545628 | + | 0.945055i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 300.318i | 0.668859i | 0.942421 | + | 0.334429i | \(0.108544\pi\) | ||||
−0.942421 | + | 0.334429i | \(0.891456\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −19.9074 | −0.0441407 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 664.700 | − | 383.764i | 1.46088 | − | 0.843438i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −77.8505 | + | 134.841i | −0.170351 | + | 0.295057i | −0.938543 | − | 0.345163i | \(-0.887824\pi\) |
0.768191 | + | 0.640220i | \(0.221157\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 261.143 | + | 150.771i | 0.566470 | + | 0.327052i | 0.755738 | − | 0.654874i | \(-0.227278\pi\) |
−0.189268 | + | 0.981925i | \(0.560612\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −119.390 | − | 206.790i | −0.257862 | − | 0.446630i | 0.707807 | − | 0.706406i | \(-0.249685\pi\) |
−0.965669 | + | 0.259776i | \(0.916351\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 423.152i | 0.906107i | 0.891483 | + | 0.453054i | \(0.149665\pi\) | ||||
−0.891483 | + | 0.453054i | \(0.850335\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1000.13 | 2.13247 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −8.81259 | + | 5.08795i | −0.0186313 | + | 0.0107568i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 131.292 | − | 227.405i | 0.276404 | − | 0.478747i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 379.284 | + | 218.980i | 0.791824 | + | 0.457160i | 0.840604 | − | 0.541650i | \(-0.182200\pi\) |
−0.0487802 | + | 0.998810i | \(0.515533\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 102.649 | + | 177.794i | 0.213408 | + | 0.369634i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 872.666i | 1.79931i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 401.945 | 0.825350 | 0.412675 | − | 0.910878i | \(-0.364595\pi\) | ||||
0.412675 | + | 0.910878i | \(0.364595\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −241.084 | + | 139.190i | −0.491007 | + | 0.283483i | −0.724992 | − | 0.688757i | \(-0.758157\pi\) |
0.233985 | + | 0.972240i | \(0.424823\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −212.454 | + | 367.981i | −0.430941 | + | 0.746411i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −126.571 | − | 73.0756i | −0.254669 | − | 0.147033i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 272.655 | + | 472.252i | 0.546402 | + | 0.946397i | 0.998517 | + | 0.0544369i | \(0.0173364\pi\) |
−0.452115 | + | 0.891960i | \(0.649330\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − | 306.460i | − | 0.609264i | −0.952470 | − | 0.304632i | \(-0.901466\pi\) | ||
0.952470 | − | 0.304632i | \(-0.0985335\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1001.76 | 1.98369 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 480.208 | − | 277.248i | 0.943434 | − | 0.544692i | 0.0523989 | − | 0.998626i | \(-0.483313\pi\) |
0.891035 | + | 0.453934i | \(0.149980\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 19.8316 | − | 34.3493i | 0.0388093 | − | 0.0672197i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −822.102 | − | 474.641i | −1.59631 | − | 0.921632i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.87101 | − | 3.24069i | −0.00361898 | − | 0.00626825i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 154.167i | 0.295905i | 0.988994 | + | 0.147953i | \(0.0472683\pi\) | ||||
−0.988994 | + | 0.147953i | \(0.952732\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −480.598 | −0.918925 | −0.459463 | − | 0.888197i | \(-0.651958\pi\) | ||||
−0.459463 | + | 0.888197i | \(0.651958\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −203.739 | + | 117.629i | −0.386602 | + | 0.223204i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 14.0721 | − | 24.3735i | 0.0266013 | − | 0.0460748i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −433.194 | − | 250.105i | −0.812747 | − | 0.469240i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −138.351 | − | 239.630i | −0.258599 | − | 0.447907i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 15.0943i | 0.0280043i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 300.543 | 0.555533 | 0.277766 | − | 0.960649i | \(-0.410406\pi\) | ||||
0.277766 | + | 0.960649i | \(0.410406\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −883.426 | + | 510.046i | −1.62097 | + | 0.935865i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −50.6032 | + | 87.6473i | −0.0925104 | + | 0.160233i | −0.908567 | − | 0.417739i | \(-0.862822\pi\) |
0.816056 | + | 0.577972i | \(0.196156\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −372.636 | − | 215.141i | −0.676290 | − | 0.390456i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.22154 | − | 12.5081i | −0.0130588 | − | 0.0226186i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 433.041i | 0.777452i | 0.921353 | + | 0.388726i | \(0.127085\pi\) | ||||
−0.921353 | + | 0.388726i | \(0.872915\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −255.687 | −0.457401 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 902.201 | − | 520.886i | 1.60249 | − | 0.925197i | 0.611501 | − | 0.791244i | \(-0.290566\pi\) |
0.990988 | − | 0.133954i | \(-0.0427673\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 720.232 | − | 1247.48i | 1.27475 | − | 2.20793i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −257.445 | − | 148.636i | −0.452452 | − | 0.261223i | 0.256413 | − | 0.966567i | \(-0.417459\pi\) |
−0.708865 | + | 0.705344i | \(0.750793\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −339.524 | − | 588.073i | −0.594613 | − | 1.02990i | −0.993601 | − | 0.112945i | \(-0.963972\pi\) |
0.398988 | − | 0.916956i | \(-0.369362\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 763.599i | 1.32800i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −148.351 | −0.257107 | −0.128553 | − | 0.991703i | \(-0.541033\pi\) | ||||
−0.128553 | + | 0.991703i | \(0.541033\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 66.7785 | − | 38.5546i | 0.114937 | − | 0.0663590i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −13.4021 | + | 23.2132i | −0.0229882 | + | 0.0398168i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 456.497 | + | 263.559i | 0.777678 | + | 0.448993i | 0.835607 | − | 0.549328i | \(-0.185116\pi\) |
−0.0579287 | + | 0.998321i | \(0.518450\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −119.117 | − | 206.316i | −0.202236 | − | 0.350283i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | − | 473.848i | − | 0.799069i | −0.916718 | − | 0.399534i | \(-0.869172\pi\) | ||
0.916718 | − | 0.399534i | \(-0.130828\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 553.402 | 0.930088 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 601.414 | − | 347.227i | 1.00403 | − | 0.579677i | 0.0945922 | − | 0.995516i | \(-0.469845\pi\) |
0.909438 | + | 0.415839i | \(0.136512\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −93.3559 | + | 161.697i | −0.155334 | + | 0.269047i | −0.933181 | − | 0.359408i | \(-0.882979\pi\) |
0.777846 | + | 0.628454i | \(0.216312\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −792.285 | − | 457.426i | −1.30956 | − | 0.756076i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 411.194 | + | 712.209i | 0.677420 | + | 1.17333i | 0.975755 | + | 0.218865i | \(0.0702355\pi\) |
−0.298335 | + | 0.954461i | \(0.596431\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 94.0249i | − | 0.153887i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 482.206 | 0.786634 | 0.393317 | − | 0.919403i | \(-0.371328\pi\) | ||||
0.393317 | + | 0.919403i | \(0.371328\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 595.916 | − | 344.052i | 0.965828 | − | 0.557621i | 0.0678661 | − | 0.997694i | \(-0.478381\pi\) |
0.897962 | + | 0.440073i | \(0.145048\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −380.253 | + | 658.617i | −0.614302 | + | 1.06400i | 0.376205 | + | 0.926536i | \(0.377229\pi\) |
−0.990507 | + | 0.137465i | \(0.956105\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −506.282 | − | 292.302i | −0.812652 | − | 0.469185i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 193.603 | + | 335.331i | 0.309765 | + | 0.536529i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 148.024i | 0.235333i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1008.08 | 1.59758 | 0.798792 | − | 0.601607i | \(-0.205473\pi\) | ||||
0.798792 | + | 0.601607i | \(0.205473\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1207.43 | − | 697.108i | 1.90146 | − | 1.09781i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −189.636 | + | 328.459i | −0.297701 | + | 0.515634i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 488.095 | + | 281.802i | 0.761458 | + | 0.439628i | 0.829819 | − | 0.558032i | \(-0.188444\pi\) |
−0.0683607 | + | 0.997661i | \(0.521777\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −288.500 | − | 499.697i | −0.448678 | − | 0.777133i | 0.549622 | − | 0.835413i | \(-0.314772\pi\) |
−0.998300 | + | 0.0582801i | \(0.981438\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | − | 1024.52i | − | 1.58349i | −0.610853 | − | 0.791744i | \(-0.709173\pi\) | ||
0.610853 | − | 0.791744i | \(-0.290827\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −33.7011 | −0.0519277 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 345.885 | − | 199.697i | 0.529686 | − | 0.305814i | −0.211203 | − | 0.977442i | \(-0.567738\pi\) |
0.740888 | + | 0.671628i | \(0.234405\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −477.428 | + | 826.929i | −0.728898 | + | 1.26249i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −646.308 | − | 373.146i | −0.980741 | − | 0.566231i | −0.0782470 | − | 0.996934i | \(-0.524932\pi\) |
−0.902494 | + | 0.430703i | \(0.858266\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 475.624 | + | 823.804i | 0.719552 | + | 1.24630i | 0.961178 | + | 0.275931i | \(0.0889860\pi\) |
−0.241626 | + | 0.970369i | \(0.577681\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 560.403i | 0.842711i | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1251.27 | 1.87596 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.05009 | + | 1.18362i | −0.00305527 | + | 0.00176396i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 172.115 | − | 298.113i | 0.255743 | − | 0.442961i | −0.709354 | − | 0.704853i | \(-0.751013\pi\) |
0.965097 | + | 0.261892i | \(0.0843464\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 853.610 | + | 492.832i | 1.26087 | + | 0.727965i | 0.973243 | − | 0.229778i | \(-0.0737999\pi\) |
0.287628 | + | 0.957742i | \(0.407133\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −525.284 | − | 909.818i | −0.773614 | − | 1.33994i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 166.658i | − | 0.244009i | −0.992530 | − | 0.122004i | \(-0.961068\pi\) | ||
0.992530 | − | 0.122004i | \(-0.0389322\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −941.062 | −1.37381 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −583.272 | + | 336.752i | −0.846548 | + | 0.488755i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −449.077 | + | 777.825i | −0.649895 | + | 1.12565i | 0.333253 | + | 0.942838i | \(0.391854\pi\) |
−0.983148 | + | 0.182813i | \(0.941480\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 175.545 | + | 101.351i | 0.252582 | + | 0.145829i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −180.330 | − | 312.341i | −0.258723 | − | 0.448122i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 730.549i | − | 1.04215i | −0.853510 | − | 0.521076i | \(-0.825531\pi\) | ||
0.853510 | − | 0.521076i | \(-0.174469\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −149.897 | −0.213224 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −1044.41 | + | 602.991i | −1.47724 | + | 0.852887i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −114.961 | + | 199.118i | −0.162145 | + | 0.280843i | −0.935638 | − | 0.352962i | \(-0.885174\pi\) |
0.773493 | + | 0.633805i | \(0.218508\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 599.971 | + | 346.394i | 0.841474 | + | 0.485825i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 18.6237 | + | 32.2571i | 0.0260471 | + | 0.0451149i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | − | 907.095i | − | 1.26161i | −0.775943 | − | 0.630803i | \(-0.782725\pi\) | ||
0.775943 | − | 0.630803i | \(-0.217275\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1142.80 | 1.58502 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −1485.18 | + | 857.469i | −2.04852 | + | 1.18272i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −107.871 | + | 186.838i | −0.148378 | + | 0.256999i | −0.930628 | − | 0.365966i | \(-0.880739\pi\) |
0.782250 | + | 0.622965i | \(0.214072\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −159.656 | − | 92.1776i | −0.218408 | − | 0.126098i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 314.634 | + | 544.963i | 0.429242 | + | 0.743469i | 0.996806 | − | 0.0798604i | \(-0.0254475\pi\) |
−0.567564 | + | 0.823329i | \(0.692114\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 48.5351i | 0.0658549i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −547.649 | −0.741068 | −0.370534 | − | 0.928819i | \(-0.620825\pi\) | ||||
−0.370534 | + | 0.928819i | \(0.620825\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 462.583 | − | 267.072i | 0.622588 | − | 0.359451i | −0.155288 | − | 0.987869i | \(-0.549631\pi\) |
0.777876 | + | 0.628418i | \(0.216297\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 305.376 | − | 528.927i | 0.409901 | − | 0.709970i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 288.481 | + | 166.555i | 0.385155 | + | 0.222369i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 225.545 | + | 390.655i | 0.300326 | + | 0.520180i | 0.976210 | − | 0.216828i | \(-0.0695712\pi\) |
−0.675884 | + | 0.737008i | \(0.736238\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 756.911i | 1.00253i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 352.391 | 0.465511 | 0.232755 | − | 0.972535i | \(-0.425226\pi\) | ||||
0.232755 | + | 0.972535i | \(0.425226\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 929.923 | − | 536.891i | 1.22197 | − | 0.705507i | 0.256636 | − | 0.966508i | \(-0.417386\pi\) |
0.965339 | + | 0.261001i | \(0.0840525\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 614.024 | − | 1063.52i | 0.804750 | − | 1.39387i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −733.349 | − | 423.399i | −0.956126 | − | 0.552020i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −177.988 | − | 308.284i | −0.231454 | − | 0.400889i | 0.726782 | − | 0.686868i | \(-0.241015\pi\) |
−0.958236 | + | 0.285978i | \(0.907681\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | − | 370.790i | − | 0.479677i | −0.970813 | − | 0.239838i | \(-0.922906\pi\) | ||
0.970813 | − | 0.239838i | \(-0.0770945\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −949.505 | −1.22517 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 316.292 | − | 182.611i | 0.406023 | − | 0.234418i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.54628 | − | 6.14233i | 0.00454069 | − | 0.00786470i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −455.507 | − | 262.987i | −0.580263 | − | 0.335015i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 576.531 | + | 998.581i | 0.732568 | + | 1.26885i | 0.955782 | + | 0.294076i | \(0.0950118\pi\) |
−0.223214 | + | 0.974769i | \(0.571655\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1734.12i | 2.19231i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −59.4810 | −0.0750076 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −761.882 | + | 439.873i | −0.955937 | + | 0.551910i | −0.894920 | − | 0.446226i | \(-0.852768\pi\) |
−0.0610167 | + | 0.998137i | \(0.519434\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 33.8968 | − | 58.7110i | 0.0424240 | − | 0.0734806i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 1.66693 | + | 0.962404i | 0.00207588 | + | 0.00119851i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −814.830 | − | 1411.33i | −1.01221 | − | 1.75320i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 884.508i | 1.09334i | 0.837350 | + | 0.546668i | \(0.184104\pi\) | ||||
−0.837350 | + | 0.546668i | \(0.815896\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 961.464 | 1.18553 | 0.592765 | − | 0.805376i | \(-0.298036\pi\) | ||||
0.592765 | + | 0.805376i | \(0.298036\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1065.53 | + | 615.184i | −1.30740 | + | 0.754827i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 93.3437 | − | 161.676i | 0.114252 | − | 0.197890i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 778.064 | + | 449.215i | 0.947702 | + | 0.547156i | 0.892366 | − | 0.451312i | \(-0.149044\pi\) |
0.0553360 | + | 0.998468i | \(0.482377\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −108.091 | − | 187.219i | −0.131338 | − | 0.227484i | 0.792855 | − | 0.609411i | \(-0.208594\pi\) |
−0.924193 | + | 0.381927i | \(0.875261\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 113.883i | − | 0.137706i | −0.997627 | − | 0.0688528i | \(-0.978066\pi\) | ||
0.997627 | − | 0.0688528i | \(-0.0219339\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −101.326 | −0.122227 | −0.0611135 | − | 0.998131i | \(-0.519465\pi\) | ||||
−0.0611135 | + | 0.998131i | \(0.519465\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −236.825 | + | 136.731i | −0.284303 | + | 0.164143i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −366.077 | + | 634.065i | −0.438416 | + | 0.759359i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −60.4689 | − | 34.9117i | −0.0720726 | − | 0.0416111i | 0.463531 | − | 0.886081i | \(-0.346582\pi\) |
−0.535603 | + | 0.844470i | \(0.679916\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 984.588 | + | 1705.36i | 1.17073 | + | 2.02777i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | − | 343.934i | − | 0.407023i | ||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1101.35 | 1.30030 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 377.502 | − | 217.951i | 0.443598 | − | 0.256112i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −573.325 | + | 993.028i | −0.672127 | + | 1.16416i | 0.305172 | + | 0.952297i | \(0.401286\pi\) |
−0.977300 | + | 0.211862i | \(0.932047\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −217.871 | − | 125.788i | −0.254225 | − | 0.146777i | 0.367472 | − | 0.930035i | \(-0.380223\pi\) |
−0.621697 | + | 0.783258i | \(0.713557\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −244.266 | − | 423.082i | −0.284361 | − | 0.492528i | 0.688093 | − | 0.725623i | \(-0.258448\pi\) |
−0.972454 | + | 0.233095i | \(0.925115\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − | 596.889i | − | 0.691644i | −0.938300 | − | 0.345822i | \(-0.887600\pi\) | ||
0.938300 | − | 0.345822i | \(-0.112400\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −212.258 | −0.245385 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.607003 | − | 0.350454i | 0.000698508 | − | 0.000403284i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −609.765 | + | 1056.14i | −0.700074 | + | 1.21256i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 439.504 | + | 253.748i | 0.502290 | + | 0.289997i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 358.208 | + | 620.434i | 0.408447 | + | 0.707451i | 0.994716 | − | 0.102666i | \(-0.0327372\pi\) |
−0.586269 | + | 0.810116i | \(0.699404\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1200.86i | 1.36306i | 0.731790 | + | 0.681531i | \(0.238685\pi\) | ||||
−0.731790 | + | 0.681531i | \(0.761315\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −22.8938 | −0.0259273 | −0.0129636 | − | 0.999916i | \(-0.504127\pi\) | ||||
−0.0129636 | + | 0.999916i | \(0.504127\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −521.857 | + | 301.294i | −0.588340 | + | 0.339678i | −0.764441 | − | 0.644694i | \(-0.776985\pi\) |
0.176101 | + | 0.984372i | \(0.443651\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −839.220 | + | 1453.57i | −0.944005 | + | 1.63506i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 59.4537 | + | 34.3256i | 0.0665775 | + | 0.0384385i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 134.804 | + | 233.488i | 0.150619 | + | 0.260880i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1555.90i | 1.73071i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −485.609 | −0.538966 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 128.780 | − | 74.3511i | 0.142298 | − | 0.0821560i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 211.473 | − | 366.281i | 0.233156 | − | 0.403838i | −0.725579 | − | 0.688139i | \(-0.758428\pi\) |
0.958735 | + | 0.284300i | \(0.0917613\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −125.376 | − | 72.3861i | −0.137625 | − | 0.0794578i | 0.429607 | − | 0.903016i | \(-0.358652\pi\) |
−0.567232 | + | 0.823558i | \(0.691986\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.87101 | + | 3.24069i | 0.00204930 | + | 0.00354949i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | − | 1149.51i | − | 1.25356i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −869.093 | −0.945694 | −0.472847 | − | 0.881145i | \(-0.656774\pi\) | ||||
−0.472847 | + | 0.881145i | \(0.656774\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 154.337 | − | 89.1064i | 0.167212 | − | 0.0965400i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −298.715 | + | 517.389i | −0.322935 | + | 0.559340i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −82.2838 | − | 47.5066i | −0.0885724 | − | 0.0511373i | 0.455060 | − | 0.890461i | \(-0.349618\pi\) |
−0.543632 | + | 0.839324i | \(0.682951\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −138.461 | − | 239.821i | −0.148722 | − | 0.257595i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 26.8560i | 0.0287230i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1555.55 | −1.66014 | −0.830071 | − | 0.557657i | \(-0.811700\pi\) | ||||
−0.830071 | + | 0.557657i | \(0.811700\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 335.246 | − | 193.554i | 0.356265 | − | 0.205690i | −0.311176 | − | 0.950352i | \(-0.600723\pi\) |
0.667441 | + | 0.744662i | \(0.267389\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −531.036 | + | 919.782i | −0.563135 | + | 0.975379i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −839.861 | − | 484.894i | −0.886865 | − | 0.512032i | −0.0139492 | − | 0.999903i | \(-0.504440\pi\) |
−0.872916 | + | 0.487871i | \(0.837774\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 24.1821 | + | 41.8846i | 0.0254817 | + | 0.0441355i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 1294.65i | − | 1.35850i | −0.733909 | − | 0.679248i | \(-0.762306\pi\) | ||
0.733909 | − | 0.679248i | \(-0.237694\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1649.76 | −1.72750 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 981.126 | − | 566.453i | 1.02307 | − | 0.590671i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 49.7731 | − | 86.2096i | 0.0517931 | − | 0.0897082i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 321.363 | + | 185.539i | 0.333018 | + | 0.192268i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −412.036 | − | 713.668i | −0.426098 | − | 0.738023i | 0.570425 | − | 0.821350i | \(-0.306779\pi\) |
−0.996522 | + | 0.0833272i | \(0.973445\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 1518.35i | − | 1.56370i | −0.623469 | − | 0.781848i | \(-0.714277\pi\) | ||
0.623469 | − | 0.781848i | \(-0.285723\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −244.024 | −0.250796 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 321.497 | − | 185.616i | 0.329065 | − | 0.189986i | −0.326361 | − | 0.945245i | \(-0.605822\pi\) |
0.655426 | + | 0.755259i | \(0.272489\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 14.1851 | − | 24.5693i | 0.0144894 | − | 0.0250963i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 808.039 | + | 466.522i | 0.822014 | + | 0.474590i | 0.851110 | − | 0.524987i | \(-0.175930\pi\) |
−0.0290967 | + | 0.999577i | \(0.509263\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1363.01 | − | 2360.80i | −1.38377 | − | 2.39676i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 542.890i | 0.548928i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1615.53 | 1.63020 | 0.815099 | − | 0.579321i | \(-0.196682\pi\) | ||||
0.815099 | + | 0.579321i | \(0.196682\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −400.492 | + | 231.224i | −0.402504 | + | 0.232386i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 519.376 | − | 899.586i | 0.520939 | − | 0.902293i | −0.478764 | − | 0.877943i | \(-0.658915\pi\) |
0.999704 | − | 0.0243496i | \(-0.00775149\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))