Newspace parameters
Level: | \( N \) | \(=\) | \( 2268 = 2^{2} \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2268.l (of order \(3\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(18.1100711784\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
Defining polynomial: |
\( x^{16} - 9x^{14} + 31x^{12} - 282x^{10} + 1695x^{8} - 3318x^{6} + 4606x^{4} - 4116x^{2} + 2401 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 3^{7} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 109.8 | ||
Root | \(1.04556 + 0.339889i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 2268.109 |
Dual form | 2268.2.l.n.541.8 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/2268\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(1135\) | \(1541\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.67687 | 1.64435 | 0.822173 | − | 0.569238i | \(-0.192762\pi\) | ||||
0.822173 | + | 0.569238i | \(0.192762\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.07542 | − | 2.41733i | −0.406472 | − | 0.913663i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.603143 | 0.181855 | 0.0909273 | − | 0.995858i | \(-0.471017\pi\) | ||||
0.0909273 | + | 0.995858i | \(0.471017\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.62851 | − | 4.55271i | 0.729017 | − | 1.26269i | −0.228282 | − | 0.973595i | \(-0.573311\pi\) |
0.957299 | − | 0.289099i | \(-0.0933558\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.12557 | + | 3.68159i | −0.515526 | + | 0.892918i | 0.484311 | + | 0.874896i | \(0.339070\pi\) |
−0.999838 | + | 0.0180219i | \(0.994263\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.68426 | + | 6.38133i | 0.845228 | + | 1.46398i | 0.885423 | + | 0.464786i | \(0.153869\pi\) |
−0.0401954 | + | 0.999192i | \(0.512798\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.15778 | 0.241414 | 0.120707 | − | 0.992688i | \(-0.461484\pi\) | ||||
0.120707 | + | 0.992688i | \(0.461484\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 8.51937 | 1.70387 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.98826 | + | 6.90786i | 0.740601 | + | 1.28276i | 0.952222 | + | 0.305406i | \(0.0987922\pi\) |
−0.211622 | + | 0.977352i | \(0.567874\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.57542 | − | 2.72871i | −0.282954 | − | 0.490091i | 0.689157 | − | 0.724612i | \(-0.257981\pi\) |
−0.972111 | + | 0.234521i | \(0.924648\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.95419 | − | 8.88819i | −0.668380 | − | 1.50238i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.00266923 | + | 0.00462323i | 0.000438818 | + | 0.000760055i | 0.866245 | − | 0.499620i | \(-0.166527\pi\) |
−0.865806 | + | 0.500380i | \(0.833194\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.00937 | − | 3.48033i | 0.313811 | − | 0.543537i | −0.665373 | − | 0.746511i | \(-0.731728\pi\) |
0.979184 | + | 0.202974i | \(0.0650609\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.66193 | − | 6.34264i | −0.558438 | − | 0.967244i | −0.997627 | − | 0.0688488i | \(-0.978067\pi\) |
0.439189 | − | 0.898395i | \(-0.355266\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 6.10863 | − | 10.5805i | 0.891036 | − | 1.54332i | 0.0524003 | − | 0.998626i | \(-0.483313\pi\) |
0.838635 | − | 0.544693i | \(-0.183354\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.68693 | + | 5.19930i | −0.669562 | + | 0.742756i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.64928 | − | 8.05279i | 0.638628 | − | 1.10614i | −0.347107 | − | 0.937826i | \(-0.612836\pi\) |
0.985734 | − | 0.168310i | \(-0.0538309\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.21768 | 0.299032 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.30760 | + | 5.72894i | 0.430613 | + | 0.745844i | 0.996926 | − | 0.0783462i | \(-0.0249640\pi\) |
−0.566313 | + | 0.824190i | \(0.691631\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.969252 | − | 1.67879i | 0.124100 | − | 0.214948i | −0.797281 | − | 0.603609i | \(-0.793729\pi\) |
0.921381 | + | 0.388661i | \(0.127062\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 9.66468 | − | 16.7397i | 1.19876 | − | 2.07631i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.31544 | − | 7.47456i | −0.527215 | − | 0.913163i | −0.999497 | − | 0.0317155i | \(-0.989903\pi\) |
0.472282 | − | 0.881447i | \(-0.343430\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.13815 | −0.135074 | −0.0675370 | − | 0.997717i | \(-0.521514\pi\) | ||||
−0.0675370 | + | 0.997717i | \(0.521514\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.33511 | + | 9.24068i | −0.624427 | + | 1.08154i | 0.364224 | + | 0.931311i | \(0.381334\pi\) |
−0.988651 | + | 0.150228i | \(0.951999\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.648634 | − | 1.45799i | −0.0739187 | − | 0.166154i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.07275 | + | 3.59011i | −0.233203 | + | 0.403919i | −0.958749 | − | 0.284254i | \(-0.908254\pi\) |
0.725546 | + | 0.688174i | \(0.241587\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −6.24088 | − | 10.8095i | −0.685026 | − | 1.18650i | −0.973429 | − | 0.228990i | \(-0.926458\pi\) |
0.288403 | − | 0.957509i | \(-0.406876\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.81544 | + | 13.5367i | −0.847703 | + | 1.46827i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.09464 | + | 7.09212i | 0.434031 | + | 0.751764i | 0.997216 | − | 0.0745672i | \(-0.0237575\pi\) |
−0.563185 | + | 0.826331i | \(0.690424\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −13.8321 | − | 1.45787i | −1.45000 | − | 0.152827i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 13.5466 | + | 23.4633i | 1.38985 | + | 2.40729i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.77935 | + | 11.7422i | 0.688339 | + | 1.19224i | 0.972375 | + | 0.233425i | \(0.0749932\pi\) |
−0.284036 | + | 0.958814i | \(0.591673\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 15.3395 | 1.52634 | 0.763169 | − | 0.646200i | \(-0.223643\pi\) | ||||
0.763169 | + | 0.646200i | \(0.223643\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.96066 | −0.488789 | −0.244394 | − | 0.969676i | \(-0.578589\pi\) | ||||
−0.244394 | + | 0.969676i | \(0.578589\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.41399 | − | 5.91320i | −0.330043 | − | 0.571651i | 0.652477 | − | 0.757808i | \(-0.273730\pi\) |
−0.982520 | + | 0.186158i | \(0.940396\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.90194 | − | 15.4186i | 0.852651 | − | 1.47684i | −0.0261554 | − | 0.999658i | \(-0.508326\pi\) |
0.878807 | − | 0.477178i | \(-0.158340\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.63946 | − | 8.03579i | 0.436444 | − | 0.755943i | −0.560968 | − | 0.827837i | \(-0.689571\pi\) |
0.997412 | + | 0.0718940i | \(0.0229043\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.25702 | 0.396969 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 11.1855 | + | 1.17892i | 1.02537 | + | 0.108072i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.6362 | −0.966929 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 12.9403 | 1.15741 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −14.9941 | −1.33051 | −0.665254 | − | 0.746617i | \(-0.731677\pi\) | ||||
−0.665254 | + | 0.746617i | \(0.731677\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −22.8327 | −1.99490 | −0.997452 | − | 0.0713394i | \(-0.977273\pi\) | ||||
−0.997452 | + | 0.0713394i | \(0.977273\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 11.4636 | − | 15.7687i | 0.994022 | − | 1.36732i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −1.52557 | −0.130338 | −0.0651690 | − | 0.997874i | \(-0.520759\pi\) | ||||
−0.0651690 | + | 0.997874i | \(0.520759\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.31277 | + | 5.73789i | −0.280986 | + | 0.486681i | −0.971628 | − | 0.236515i | \(-0.923995\pi\) |
0.690642 | + | 0.723197i | \(0.257328\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.58537 | − | 2.74594i | 0.132575 | − | 0.229627i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 14.6643 | + | 25.3993i | 1.21780 | + | 2.10930i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 17.7749 | 1.45618 | 0.728089 | − | 0.685483i | \(-0.240409\pi\) | ||||
0.728089 | + | 0.685483i | \(0.240409\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.63622 | 0.377290 | 0.188645 | − | 0.982045i | \(-0.439590\pi\) | ||||
0.188645 | + | 0.982045i | \(0.439590\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.79262 | − | 10.0331i | −0.465275 | − | 0.805880i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.70660 | − | 2.95592i | −0.136202 | − | 0.235908i | 0.789854 | − | 0.613295i | \(-0.210156\pi\) |
−0.926056 | + | 0.377387i | \(0.876823\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.24511 | − | 2.79874i | −0.0981281 | − | 0.220571i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.55012 | + | 13.0772i | 0.591371 | + | 1.02428i | 0.994048 | + | 0.108942i | \(0.0347464\pi\) |
−0.402677 | + | 0.915342i | \(0.631920\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.85782 | − | 4.94988i | 0.221144 | − | 0.383033i | −0.734011 | − | 0.679137i | \(-0.762354\pi\) |
0.955156 | + | 0.296104i | \(0.0956875\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.31811 | − | 12.6753i | −0.562931 | − | 0.975026i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 0.948157 | − | 1.64226i | 0.0720871 | − | 0.124858i | −0.827729 | − | 0.561128i | \(-0.810367\pi\) |
0.899816 | + | 0.436270i | \(0.143701\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.16193 | − | 20.5941i | −0.692576 | − | 1.55677i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −7.29747 | + | 12.6396i | −0.545438 | + | 0.944727i | 0.453141 | + | 0.891439i | \(0.350304\pi\) |
−0.998579 | + | 0.0532881i | \(0.983030\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.89857 | 0.587096 | 0.293548 | − | 0.955944i | \(-0.405164\pi\) | ||||
0.293548 | + | 0.955944i | \(0.405164\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.00981439 | + | 0.0169990i | 0.000721569 | + | 0.00124979i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.28202 | + | 2.22053i | −0.0937508 | + | 0.162381i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.23670 | + | 7.33818i | −0.306557 | + | 0.530972i | −0.977607 | − | 0.210440i | \(-0.932510\pi\) |
0.671050 | + | 0.741412i | \(0.265844\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.48300 | + | 6.03273i | 0.250712 | + | 0.434246i | 0.963722 | − | 0.266908i | \(-0.0860020\pi\) |
−0.713010 | + | 0.701154i | \(0.752669\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −16.2371 | −1.15685 | −0.578424 | − | 0.815736i | \(-0.696332\pi\) | ||||
−0.578424 | + | 0.815736i | \(0.696332\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.35153 | + | 12.7332i | −0.521136 | + | 0.902634i | 0.478562 | + | 0.878054i | \(0.341158\pi\) |
−0.999698 | + | 0.0245800i | \(0.992175\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 12.4095 | − | 17.0698i | 0.870976 | − | 1.19806i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.38819 | − | 12.7967i | 0.516014 | − | 0.893762i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 2.22214 | + | 3.84886i | 0.153709 | + | 0.266231i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.41053 | − | 14.5675i | 0.579005 | − | 1.00287i | −0.416589 | − | 0.909095i | \(-0.636775\pi\) |
0.995594 | − | 0.0937708i | \(-0.0298921\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −13.4644 | − | 23.3211i | −0.918266 | − | 1.59048i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.90194 | + | 6.74283i | −0.332766 | + | 0.457733i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 11.1741 | + | 19.3542i | 0.751655 | + | 1.30190i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.45799 | + | 5.98942i | 0.231564 | + | 0.401081i | 0.958269 | − | 0.285869i | \(-0.0922823\pi\) |
−0.726704 | + | 0.686950i | \(0.758949\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 6.99634 | 0.464363 | 0.232182 | − | 0.972672i | \(-0.425414\pi\) | ||||
0.232182 | + | 0.972672i | \(0.425414\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.82700 | −0.186813 | −0.0934066 | − | 0.995628i | \(-0.529776\pi\) | ||||
−0.0934066 | + | 0.995628i | \(0.529776\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 11.1679 | + | 19.3434i | 0.731635 | + | 1.26723i | 0.956184 | + | 0.292766i | \(0.0945756\pi\) |
−0.224550 | + | 0.974463i | \(0.572091\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 22.4606 | − | 38.9030i | 1.46517 | − | 2.53775i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −0.954829 | + | 1.65381i | −0.0617628 | + | 0.106976i | −0.895253 | − | 0.445557i | \(-0.853006\pi\) |
0.833491 | + | 0.552534i | \(0.186339\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −19.6870 | −1.26815 | −0.634077 | − | 0.773270i | \(-0.718620\pi\) | ||||
−0.634077 | + | 0.773270i | \(0.718620\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −17.2332 | + | 19.1171i | −1.10099 | + | 1.22135i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 38.7365 | 2.46474 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 12.2990 | 0.776306 | 0.388153 | − | 0.921595i | \(-0.373113\pi\) | ||||
0.388153 | + | 0.921595i | \(0.373113\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.698309 | 0.0439023 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −11.4242 | −0.712622 | −0.356311 | − | 0.934367i | \(-0.615966\pi\) | ||||
−0.356311 | + | 0.934367i | \(0.615966\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.00830532 | − | 0.0114243i | 0.000516067 | − | 0.000709873i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 19.3109 | 1.19076 | 0.595380 | − | 0.803445i | \(-0.297002\pi\) | ||||
0.595380 | + | 0.803445i | \(0.297002\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 17.0948 | − | 29.6091i | 1.05012 | − | 1.81887i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 4.00745 | − | 6.94110i | 0.244338 | − | 0.423206i | −0.717607 | − | 0.696448i | \(-0.754763\pi\) |
0.961945 | + | 0.273242i | \(0.0880959\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.96658 | + | 5.13827i | 0.180207 | + | 0.312128i | 0.941951 | − | 0.335750i | \(-0.108990\pi\) |
−0.761744 | + | 0.647878i | \(0.775657\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 5.13840 | 0.309857 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.0554 | −0.724336 | −0.362168 | − | 0.932113i | \(-0.617963\pi\) | ||||
−0.362168 | + | 0.932113i | \(0.617963\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 9.73700 | + | 16.8650i | 0.580861 | + | 1.00608i | 0.995378 | + | 0.0960386i | \(0.0306172\pi\) |
−0.414517 | + | 0.910042i | \(0.636049\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.3518 | + | 24.8581i | 0.853127 | + | 1.47766i | 0.878372 | + | 0.477977i | \(0.158630\pi\) |
−0.0252457 | + | 0.999681i | \(0.508037\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −10.5740 | − | 1.11448i | −0.624165 | − | 0.0657854i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.536086 | − | 0.928529i | −0.0315345 | − | 0.0546193i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 11.3503 | − | 19.6593i | 0.663090 | − | 1.14851i | −0.316709 | − | 0.948523i | \(-0.602578\pi\) |
0.979799 | − | 0.199983i | \(-0.0640888\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.1616 | + | 21.0646i | 0.708077 | + | 1.22643i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 3.04324 | − | 5.27105i | 0.175995 | − | 0.304833i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −11.3941 | + | 15.6731i | −0.656746 | + | 0.903382i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.56381 | − | 6.17271i | 0.204063 | − | 0.353448i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −27.9486 | −1.59511 | −0.797555 | − | 0.603246i | \(-0.793874\pi\) | ||||
−0.797555 | + | 0.603246i | \(0.793874\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −7.64908 | − | 13.2486i | −0.433739 | − | 0.751259i | 0.563452 | − | 0.826149i | \(-0.309473\pi\) |
−0.997192 | + | 0.0748898i | \(0.976139\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.67051 | + | 2.89341i | −0.0944230 | + | 0.163545i | −0.909368 | − | 0.415993i | \(-0.863434\pi\) |
0.814945 | + | 0.579539i | \(0.196767\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −4.50722 | + | 7.80673i | −0.253151 | + | 0.438470i | −0.964392 | − | 0.264479i | \(-0.914800\pi\) |
0.711241 | + | 0.702948i | \(0.248133\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.40549 | + | 4.16643i | 0.134682 | + | 0.233275i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −31.3246 | −1.74295 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 22.3932 | − | 38.7862i | 1.24215 | − | 2.15147i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −32.1458 | − | 3.38809i | −1.77226 | − | 0.186791i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.14760 | + | 15.8441i | −0.502797 | + | 0.870870i | 0.497197 | + | 0.867637i | \(0.334362\pi\) |
−0.999995 | + | 0.00323307i | \(0.998971\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −15.8673 | − | 27.4830i | −0.866924 | − | 1.50156i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.868823 | + | 1.50485i | −0.0473278 | + | 0.0819741i | −0.888719 | − | 0.458453i | \(-0.848404\pi\) |
0.841391 | + | 0.540427i | \(0.181737\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.950206 | − | 1.64580i | −0.0514565 | − | 0.0891253i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.6088 | + | 5.73840i | 0.950787 | + | 0.309845i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −0.546358 | − | 0.946319i | −0.0293300 | − | 0.0508011i | 0.850988 | − | 0.525185i | \(-0.176004\pi\) |
−0.880318 | + | 0.474384i | \(0.842671\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.70096 | − | 8.14231i | −0.251637 | − | 0.435848i | 0.712340 | − | 0.701835i | \(-0.247636\pi\) |
−0.963977 | + | 0.265987i | \(0.914302\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −19.2910 | −1.02676 | −0.513378 | − | 0.858163i | \(-0.671606\pi\) | ||||
−0.513378 | + | 0.858163i | \(0.671606\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.18484 | −0.222108 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.94976 | + | 5.10914i | 0.155682 | + | 0.269650i | 0.933307 | − | 0.359079i | \(-0.116909\pi\) |
−0.777625 | + | 0.628729i | \(0.783576\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.6476 | + | 30.5665i | −0.928820 | + | 1.60876i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −19.6165 | + | 33.9768i | −1.02677 | + | 1.77843i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.9660 | 0.572421 | 0.286210 | − | 0.958167i | \(-0.407604\pi\) | ||||
0.286210 | + | 0.958167i | \(0.407604\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −24.4662 | − | 2.57867i | −1.27022 | − | 0.133878i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −31.9381 | −1.65369 | −0.826847 | − | 0.562428i | \(-0.809868\pi\) | ||||
−0.826847 | + | 0.562428i | \(0.809868\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 41.9326 | 2.15964 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −14.4354 | −0.741495 | −0.370747 | − | 0.928734i | \(-0.620898\pi\) | ||||
−0.370747 | + | 0.928734i | \(0.620898\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −17.7201 | −0.905456 | −0.452728 | − | 0.891649i | \(-0.649549\pi\) | ||||
−0.452728 | + | 0.891649i | \(0.649549\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.38494 | − | 5.36085i | −0.121548 | − | 0.273214i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −18.9750 | −0.962072 | −0.481036 | − | 0.876701i | \(-0.659739\pi\) | ||||
−0.481036 | + | 0.876701i | \(0.659739\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.46095 | + | 4.26249i | −0.124455 | + | 0.215563i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −7.62124 | + | 13.2004i | −0.383466 | + | 0.664183i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −10.5889 | − | 18.3405i | −0.531440 | − | 0.920482i | −0.999327 | − | 0.0366930i | \(-0.988318\pi\) |
0.467886 | − | 0.883789i | \(-0.345016\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −14.7808 | −0.738116 | −0.369058 | − | 0.929406i | \(-0.620320\pi\) | ||||
−0.369058 | + | 0.929406i | \(0.620320\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −16.5640 | −0.825114 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.00160993 | + | 0.00278847i | 7.98011e−5 | + | 0.000138219i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.86575 | + | 3.23158i | 0.0922554 | + | 0.159791i | 0.908460 | − | 0.417972i | \(-0.137259\pi\) |
−0.816204 | + | 0.577763i | \(0.803926\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 10.2916 | − | 14.1566i | 0.506418 | − | 0.696600i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −22.9469 | − | 39.7452i | −1.12642 | − | 1.95102i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 14.1678 | − | 24.5393i | 0.692142 | − | 1.19883i | −0.278993 | − | 0.960293i | \(-0.590001\pi\) |
0.971135 | − | 0.238532i | \(-0.0766661\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.09776 | − | 14.0257i | −0.394661 | − | 0.683572i | 0.598397 | − | 0.801200i | \(-0.295805\pi\) |
−0.993058 | + | 0.117627i | \(0.962471\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −18.1085 | + | 31.3649i | −0.878392 | + | 1.52142i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.10055 | − | 0.537585i | −0.246833 | − | 0.0260156i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −13.5528 | + | 23.4741i | −0.652815 | + | 1.13071i | 0.329622 | + | 0.944113i | \(0.393079\pi\) |
−0.982437 | + | 0.186595i | \(0.940255\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −11.5028 | −0.552789 | −0.276394 | − | 0.961044i | \(-0.589140\pi\) | ||||
−0.276394 | + | 0.961044i | \(0.589140\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 4.26558 | + | 7.38819i | 0.204050 | + | 0.353425i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.43357 | − | 2.48301i | 0.0684205 | − | 0.118508i | −0.829786 | − | 0.558082i | \(-0.811537\pi\) |
0.898206 | + | 0.439574i | \(0.144871\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −4.42151 | + | 7.65827i | −0.210072 | + | 0.363855i | −0.951737 | − | 0.306915i | \(-0.900703\pi\) |
0.741665 | + | 0.670771i | \(0.234037\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 15.0555 | + | 26.0768i | 0.713697 | + | 1.23616i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 40.5033 | 1.91147 | 0.955735 | − | 0.294229i | \(-0.0950629\pi\) | ||||
0.955735 | + | 0.294229i | \(0.0950629\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.21194 | − | 2.09914i | 0.0570680 | − | 0.0988446i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −50.8590 | − | 5.36041i | −2.38431 | − | 0.251300i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −19.4049 | + | 33.6103i | −0.907723 | + | 1.57222i | −0.0905025 | + | 0.995896i | \(0.528847\pi\) |
−0.817220 | + | 0.576326i | \(0.804486\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 16.1328 | + | 27.9428i | 0.751378 | + | 1.30142i | 0.947155 | + | 0.320776i | \(0.103944\pi\) |
−0.195777 | + | 0.980648i | \(0.562723\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −16.7430 | + | 28.9997i | −0.778112 | + | 1.34773i | 0.154917 | + | 0.987927i | \(0.450489\pi\) |
−0.933029 | + | 0.359802i | \(0.882844\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 5.04280 | + | 8.73438i | 0.233353 | + | 0.404179i | 0.958793 | − | 0.284107i | \(-0.0916970\pi\) |
−0.725440 | + | 0.688286i | \(0.758364\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.4275 | + | 18.4701i | −0.620026 | + | 0.852872i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −2.20867 | − | 3.82552i | −0.101555 | − | 0.175898i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 31.3876 | + | 54.3649i | 1.44016 | + | 2.49443i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −8.59519 | −0.392724 | −0.196362 | − | 0.980531i | \(-0.562913\pi\) | ||||
−0.196362 | + | 0.980531i | \(0.562913\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.0280643 | 0.00127962 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 24.9268 | + | 43.1745i | 1.13187 | + | 1.96045i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.298843 | + | 0.517612i | −0.0135419 | + | 0.0234552i | −0.872717 | − | 0.488227i | \(-0.837644\pi\) |
0.859175 | + | 0.511682i | \(0.170977\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −17.1521 | + | 29.7084i | −0.774066 | + | 1.34072i | 0.161253 | + | 0.986913i | \(0.448447\pi\) |
−0.935318 | + | 0.353808i | \(0.884887\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −33.9092 | −1.52720 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1.22400 | + | 2.75129i | 0.0549038 | + | 0.123412i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 30.0494 | 1.34520 | 0.672598 | − | 0.740008i | \(-0.265178\pi\) | ||||
0.672598 | + | 0.740008i | \(0.265178\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −18.5650 | −0.827773 | −0.413887 | − | 0.910328i | \(-0.635829\pi\) | ||||
−0.413887 | + | 0.910328i | \(0.635829\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 56.4013 | 2.50983 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 7.01815 | 0.311074 | 0.155537 | − | 0.987830i | \(-0.450289\pi\) | ||||
0.155537 | + | 0.987830i | \(0.450289\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 28.0752 | + | 2.95906i | 1.24198 | + | 0.130901i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −18.2397 | −0.803738 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.68438 | − | 6.38154i | 0.162039 | − | 0.280660i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −15.0742 | + | 26.1092i | −0.660411 | + | 1.14387i | 0.320096 | + | 0.947385i | \(0.396285\pi\) |
−0.980508 | + | 0.196481i | \(0.937049\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.1726 | − | 24.5476i | −0.619724 | − | 1.07339i | −0.989536 | − | 0.144287i | \(-0.953911\pi\) |
0.369812 | − | 0.929107i | \(-0.379422\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 13.3947 | 0.583481 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −21.6595 | −0.941719 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −10.5633 | − | 18.2962i | −0.457547 | − | 0.792495i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −12.5528 | − | 21.7421i | −0.542704 | − | 0.939991i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −2.82689 | + | 3.13592i | −0.121763 | + | 0.135074i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.5245 | − | 25.1572i | −0.624458 | − | 1.08159i | −0.988645 | − | 0.150268i | \(-0.951986\pi\) |
0.364187 | − | 0.931326i | \(-0.381347\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 32.7313 | − | 56.6922i | 1.40205 | − | 2.42843i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.68455 | − | 15.0421i | −0.371324 | − | 0.643153i | 0.618445 | − | 0.785828i | \(-0.287763\pi\) |
−0.989770 | + | 0.142675i | \(0.954430\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −29.3876 | + | 50.9008i | −1.25195 | + | 2.16844i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 10.9076 | + | 1.14963i | 0.463837 | + | 0.0488873i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −19.5927 | + | 33.9355i | −0.830169 | + | 1.43789i | 0.0677355 | + | 0.997703i | \(0.478423\pi\) |
−0.897904 | + | 0.440191i | \(0.854911\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −38.5016 | −1.62844 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 19.2039 | + | 33.2622i | 0.809349 | + | 1.40183i | 0.913316 | + | 0.407252i | \(0.133513\pi\) |
−0.103967 | + | 0.994581i | \(0.533154\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 17.0587 | − | 29.5465i | 0.717665 | − | 1.24303i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 4.54032 | − | 7.86407i | 0.190340 | − | 0.329679i | −0.755023 | − | 0.655698i | \(-0.772374\pi\) |
0.945363 | + | 0.326020i | \(0.105708\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 18.5274 | + | 32.0904i | 0.775347 | + | 1.34294i | 0.934599 | + | 0.355702i | \(0.115758\pi\) |
−0.159253 | + | 0.987238i | \(0.550908\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 9.86358 | 0.411340 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.04241 | − | 1.80550i | 0.0433960 | − | 0.0751641i | −0.843512 | − | 0.537111i | \(-0.819516\pi\) |
0.886908 | + | 0.461947i | \(0.152849\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −19.4186 | + | 26.7110i | −0.805617 | + | 1.10816i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.80418 | − | 4.85699i | 0.116137 | − | 0.201156i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.75919 | − | 8.24316i | −0.196433 | − | 0.340232i | 0.750936 | − | 0.660374i | \(-0.229602\pi\) |
−0.947369 | + | 0.320143i | \(0.896269\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 11.6085 | − | 20.1066i | 0.478322 | − | 0.828477i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −7.63267 | − | 13.2202i | −0.313436 | − | 0.542887i | 0.665668 | − | 0.746248i | \(-0.268147\pi\) |
−0.979104 | + | 0.203361i | \(0.934814\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 41.1276 | + | 4.33475i | 1.68607 | + | 0.177707i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −10.0597 | − | 17.4240i | −0.411030 | − | 0.711924i | 0.583973 | − | 0.811773i | \(-0.301497\pi\) |
−0.995003 | + | 0.0998490i | \(0.968164\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.1529 | − | 17.5854i | −0.414146 | − | 0.717322i | 0.581192 | − | 0.813766i | \(-0.302586\pi\) |
−0.995338 | + | 0.0964440i | \(0.969253\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −39.1080 | −1.58997 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.07298 | −0.0841396 | −0.0420698 | − | 0.999115i | \(-0.513395\pi\) | ||||
−0.0420698 | + | 0.999115i | \(0.513395\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −32.1132 | − | 55.6217i | −1.29916 | − | 2.25021i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.10053 | + | 1.90618i | −0.0444502 | + | 0.0769900i | −0.887395 | − | 0.461011i | \(-0.847487\pi\) |
0.842944 | + | 0.538001i | \(0.180820\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 21.1904 | − | 36.7029i | 0.853095 | − | 1.47760i | −0.0253061 | − | 0.999680i | \(-0.508056\pi\) |
0.878401 | − | 0.477924i | \(-0.158611\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 13.8707 | 0.557511 | 0.278756 | − | 0.960362i | \(-0.410078\pi\) | ||||
0.278756 | + | 0.960362i | \(0.410078\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 12.7405 | − | 17.5251i | 0.510438 | − | 0.702129i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.98282 | 0.199313 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −0.0226945 | −0.000904889 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 45.1845 | 1.79876 | 0.899382 | − | 0.437163i | \(-0.144017\pi\) | ||||
0.899382 | + | 0.437163i | \(0.144017\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −55.1312 | −2.18782 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 11.3512 | + | 35.0046i | 0.449753 | + | 1.38693i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 26.5128 | 1.04719 | 0.523597 | − | 0.851966i | \(-0.324590\pi\) | ||||
0.523597 | + | 0.851966i | \(0.324590\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 24.3184 | − | 42.1207i | 0.959024 | − | 1.66108i | 0.234145 | − | 0.972202i | \(-0.424771\pi\) |
0.724879 | − | 0.688876i | \(-0.241896\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 10.7224 | − | 18.5717i | 0.421540 | − | 0.730128i | −0.574551 | − | 0.818469i | \(-0.694823\pi\) |
0.996090 | + | 0.0883409i | \(0.0281565\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.99496 | + | 3.45537i | 0.0783090 | + | 0.135635i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 3.48991 | 0.136571 | 0.0682854 | − | 0.997666i | \(-0.478247\pi\) | ||||
0.0682854 | + | 0.997666i | \(0.478247\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −83.9529 | −3.28031 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 18.2754 | + | 31.6539i | 0.711908 | + | 1.23306i | 0.964140 | + | 0.265394i | \(0.0855021\pi\) |
−0.252232 | + | 0.967667i | \(0.581165\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.78748 | + | 4.82806i | 0.108420 | + | 0.187790i | 0.915131 | − | 0.403158i | \(-0.132087\pi\) |
−0.806710 | + | 0.590947i | \(0.798754\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 42.1502 | − | 57.9794i | 1.63452 | − | 2.24835i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.61753 | + | 7.99780i | 0.178792 | + | 0.309676i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.584598 | − | 1.01255i | 0.0225682 | − | 0.0390892i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.25661 | + | 2.17652i | 0.0484389 | + | 0.0838986i | 0.889228 | − | 0.457464i | \(-0.151242\pi\) |
−0.840789 | + | 0.541362i | \(0.817909\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −15.8606 | + | 27.4714i | −0.609574 | + | 1.05581i | 0.381737 | + | 0.924271i | \(0.375326\pi\) |
−0.991311 | + | 0.131542i | \(0.958007\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 21.0940 | − | 29.0157i | 0.809514 | − | 1.11352i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −21.4275 | + | 37.1136i | −0.819902 | + | 1.42011i | 0.0858521 | + | 0.996308i | \(0.472639\pi\) |
−0.905754 | + | 0.423804i | \(0.860695\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.60932 | −0.214321 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −24.4413 | − | 42.3336i | −0.931141 | − | 1.61278i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.38187 | − | 12.7858i | 0.280820 | − | 0.486394i | −0.690767 | − | 0.723077i | \(-0.742727\pi\) |
0.971587 | + | 0.236683i | \(0.0760604\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −12.1806 | + | 21.0975i | −0.462037 | + | 0.800272i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.54211 | + | 14.7954i | 0.323556 | + | 0.560415i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −19.8352 | −0.749167 | −0.374583 | − | 0.927193i | \(-0.622214\pi\) | ||||
−0.374583 | + | 0.927193i | \(0.622214\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.0196683 | + | 0.0340664i | −0.000741802 | + | 0.00128484i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −16.4964 | − | 37.0806i | −0.620413 | − | 1.39456i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.10292 | + | 8.83852i | −0.191644 | + | 0.331937i | −0.945795 | − | 0.324763i | \(-0.894715\pi\) |
0.754151 | + | 0.656701i | \(0.228049\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.82400 | − | 3.15926i | −0.0683092 | − | 0.118315i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.82919 | − | 10.0965i | 0.217999 | − | 0.377586i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −16.2769 | − | 28.1924i | −0.607025 | − | 1.05140i | −0.991728 | − | 0.128358i | \(-0.959029\pi\) |
0.384703 | − | 0.923040i | \(-0.374304\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.33481 | + | 11.9915i | 0.198679 | + | 0.446588i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 33.9774 | + | 58.8506i | 1.26189 | + | 2.18566i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −7.65095 | − | 13.2518i | −0.283758 | − | 0.491483i | 0.688549 | − | 0.725190i | \(-0.258248\pi\) |
−0.972307 | + | 0.233706i | \(0.924915\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 31.1347 | 1.15156 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −8.69354 | −0.321103 | −0.160552 | − | 0.987027i | \(-0.551327\pi\) | ||||
−0.160552 | + | 0.987027i | \(0.551327\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −2.60283 | − | 4.50823i | −0.0958764 | − | 0.166063i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.61922 | + | 11.4648i | −0.243492 | + | 0.421740i | −0.961707 | − | 0.274081i | \(-0.911626\pi\) |
0.718215 | + | 0.695822i | \(0.244960\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −10.7693 | + | 18.6530i | −0.395089 | + | 0.684314i | −0.993112 | − | 0.117165i | \(-0.962619\pi\) |
0.598024 | + | 0.801478i | \(0.295953\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 65.3561 | 2.39446 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −10.6227 | + | 14.6119i | −0.388143 | + | 0.533908i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 39.6483 | 1.44679 | 0.723393 | − | 0.690437i | \(-0.242582\pi\) | ||||
0.723393 | + | 0.690437i | \(0.242582\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 17.0468 | 0.620395 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 13.0719 | 0.475108 | 0.237554 | − | 0.971374i | \(-0.423654\pi\) | ||||
0.237554 | + | 0.971374i | \(0.423654\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −18.3429 | −0.664930 | −0.332465 | − | 0.943116i | \(-0.607880\pi\) | ||||
−0.332465 | + | 0.943116i | \(0.607880\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −46.8452 | − | 4.93737i | −1.69591 | − | 0.178745i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 34.7763 | 1.25570 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7.46351 | − | 12.9272i | 0.269141 | − | 0.466166i | −0.699499 | − | 0.714633i | \(-0.746594\pi\) |
0.968640 | + | 0.248467i | \(0.0799269\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −14.7818 | + | 25.6029i | −0.531666 | + | 0.920873i | 0.467651 | + | 0.883913i | \(0.345100\pi\) |
−0.999317 | + | 0.0369592i | \(0.988233\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −13.4216 | − | 23.2469i | −0.482118 | − | 0.835054i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 29.6122 | 1.06097 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.686470 | −0.0245638 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −6.27495 | − | 10.8685i | −0.223962 | − | 0.387914i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.66430 | + | 8.07880i | 0.166264 | + | 0.287978i | 0.937104 | − | 0.349052i | \(-0.113496\pi\) |
−0.770839 | + | 0.637030i | \(0.780163\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −24.4145 | − | 2.57323i | −0.868080 | − | 0.0914935i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.09537 | − | 8.82545i | −0.180942 | − | 0.313401i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 11.9334 | − | 20.6692i | 0.422701 | − | 0.732140i | −0.573502 | − | 0.819204i | \(-0.694415\pi\) |
0.996203 | + | 0.0870647i | \(0.0277487\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 25.9686 | + | 44.9790i | 0.918705 | + | 1.59124i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) |