Newspace parameters
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(13.2754297513\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | no (minimal twist has level 75) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 181.4 | ||
Character | \(\chi\) | \(=\) | 225.181 |
Dual form | 225.4.h.a.46.4 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.177563 | + | 0.546483i | 0.0627781 | + | 0.193211i | 0.977526 | − | 0.210813i | \(-0.0676112\pi\) |
−0.914748 | + | 0.404024i | \(0.867611\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 6.20502 | − | 4.50821i | 0.775628 | − | 0.563526i | ||||
\(5\) | 9.45304 | + | 5.96993i | 0.845506 | + | 0.533967i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.67744 | −0.144568 | −0.0722840 | − | 0.997384i | \(-0.523029\pi\) | ||||
−0.0722840 | + | 0.997384i | \(0.523029\pi\) | |||||||
\(8\) | 7.28438 | + | 5.29241i | 0.321927 | + | 0.233894i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.58395 | + | 6.22597i | −0.0500891 | + | 0.196882i | ||||
\(11\) | 19.4804 | + | 59.9545i | 0.533960 | + | 1.64336i | 0.745885 | + | 0.666075i | \(0.232027\pi\) |
−0.211924 | + | 0.977286i | \(0.567973\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.38017 | − | 13.4808i | 0.0934493 | − | 0.287607i | −0.893397 | − | 0.449268i | \(-0.851685\pi\) |
0.986846 | + | 0.161660i | \(0.0516849\pi\) | |||||||
\(14\) | −0.475414 | − | 1.46317i | −0.00907569 | − | 0.0279321i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 17.3621 | − | 53.4350i | 0.271282 | − | 0.834922i | ||||
\(17\) | 24.5906 | + | 17.8661i | 0.350829 | + | 0.254892i | 0.749217 | − | 0.662325i | \(-0.230430\pi\) |
−0.398388 | + | 0.917217i | \(0.630430\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −22.2647 | − | 16.1762i | −0.268835 | − | 0.195320i | 0.445198 | − | 0.895432i | \(-0.353133\pi\) |
−0.714033 | + | 0.700112i | \(0.753133\pi\) | |||||||
\(20\) | 85.5700 | − | 5.57276i | 0.956702 | − | 0.0623054i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −29.3052 | + | 21.2914i | −0.283995 | + | 0.206334i | ||||
\(23\) | −35.9246 | − | 110.565i | −0.325687 | − | 1.00236i | −0.971130 | − | 0.238553i | \(-0.923327\pi\) |
0.645443 | − | 0.763809i | \(-0.276673\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 53.7199 | + | 112.868i | 0.429759 | + | 0.902944i | ||||
\(26\) | 8.14478 | 0.0614355 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −16.6135 | + | 12.0704i | −0.112131 | + | 0.0814678i | ||||
\(29\) | −32.5312 | + | 23.6353i | −0.208307 | + | 0.151344i | −0.687047 | − | 0.726613i | \(-0.741093\pi\) |
0.478740 | + | 0.877956i | \(0.341093\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 180.304 | + | 130.998i | 1.04463 | + | 0.758967i | 0.971184 | − | 0.238333i | \(-0.0766008\pi\) |
0.0734444 | + | 0.997299i | \(0.476601\pi\) | |||||||
\(32\) | 104.316 | 0.576270 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.39715 | + | 16.6107i | −0.0272236 | + | 0.0837857i | ||||
\(35\) | −25.3099 | − | 15.9841i | −0.122233 | − | 0.0771944i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 25.6160 | − | 78.8378i | 0.113817 | − | 0.350293i | −0.877881 | − | 0.478878i | \(-0.841044\pi\) |
0.991698 | + | 0.128585i | \(0.0410435\pi\) | |||||||
\(38\) | 4.88665 | − | 15.0396i | 0.0208610 | − | 0.0642037i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 37.2642 | + | 93.5166i | 0.147300 | + | 0.369657i | ||||
\(41\) | −44.5269 | + | 137.040i | −0.169608 | + | 0.522000i | −0.999346 | − | 0.0361527i | \(-0.988490\pi\) |
0.829738 | + | 0.558153i | \(0.188490\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 433.956 | 1.53901 | 0.769507 | − | 0.638638i | \(-0.220502\pi\) | ||||
0.769507 | + | 0.638638i | \(0.220502\pi\) | |||||||
\(44\) | 391.164 | + | 284.197i | 1.34023 | + | 0.973736i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 54.0428 | − | 39.2644i | 0.173221 | − | 0.125853i | ||||
\(47\) | 371.550 | − | 269.947i | 1.15311 | − | 0.837783i | 0.164218 | − | 0.986424i | \(-0.447490\pi\) |
0.988891 | + | 0.148641i | \(0.0474898\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −335.831 | −0.979100 | ||||||||
\(50\) | −52.1418 | + | 49.3982i | −0.147479 | + | 0.139719i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −33.5952 | − | 103.395i | −0.0895925 | − | 0.275737i | ||||
\(53\) | −200.214 | + | 145.464i | −0.518897 | + | 0.377001i | −0.816188 | − | 0.577786i | \(-0.803917\pi\) |
0.297291 | + | 0.954787i | \(0.403917\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −173.775 | + | 683.049i | −0.426034 | + | 1.67459i | ||||
\(56\) | −19.5034 | − | 14.1701i | −0.0465403 | − | 0.0338135i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −18.6927 | − | 13.5810i | −0.0423184 | − | 0.0307461i | ||||
\(59\) | −95.9388 | + | 295.269i | −0.211698 | + | 0.651539i | 0.787674 | + | 0.616092i | \(0.211285\pi\) |
−0.999372 | + | 0.0354462i | \(0.988715\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.644333 | + | 1.98305i | 0.00135243 | + | 0.00416236i | 0.951730 | − | 0.306935i | \(-0.0993034\pi\) |
−0.950378 | + | 0.311097i | \(0.899303\pi\) | |||||||
\(62\) | −39.5730 | + | 121.793i | −0.0810610 | + | 0.249480i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −120.374 | − | 370.473i | −0.235105 | − | 0.723580i | ||||
\(65\) | 121.885 | − | 101.285i | 0.232585 | − | 0.193275i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −529.476 | − | 384.687i | −0.965460 | − | 0.701448i | −0.0110477 | − | 0.999939i | \(-0.503517\pi\) |
−0.954412 | + | 0.298491i | \(0.903517\pi\) | |||||||
\(68\) | 233.129 | 0.415751 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 4.24094 | − | 16.6696i | 0.00724127 | − | 0.0284629i | ||||
\(71\) | −734.591 | + | 533.711i | −1.22789 | + | 0.892111i | −0.996730 | − | 0.0808056i | \(-0.974251\pi\) |
−0.231156 | + | 0.972917i | \(0.574251\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −271.486 | − | 835.547i | −0.435274 | − | 1.33964i | −0.892805 | − | 0.450443i | \(-0.851266\pi\) |
0.457531 | − | 0.889194i | \(-0.348734\pi\) | |||||||
\(74\) | 47.6320 | 0.0748258 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −211.079 | −0.318584 | ||||||||
\(77\) | −52.1575 | − | 160.524i | −0.0771935 | − | 0.237577i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 921.477 | − | 669.493i | 1.31233 | − | 0.953466i | 0.312339 | − | 0.949971i | \(-0.398887\pi\) |
0.999994 | − | 0.00349520i | \(-0.00111256\pi\) | |||||||
\(80\) | 483.127 | − | 401.473i | 0.675191 | − | 0.561075i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −82.7962 | −0.111504 | ||||||||
\(83\) | −798.210 | − | 579.934i | −1.05560 | − | 0.766940i | −0.0823324 | − | 0.996605i | \(-0.526237\pi\) |
−0.973270 | + | 0.229665i | \(0.926237\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 125.796 | + | 315.693i | 0.160524 | + | 0.402844i | ||||
\(86\) | 77.0546 | + | 237.150i | 0.0966164 | + | 0.297355i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −175.401 | + | 539.830i | −0.212476 | + | 0.653932i | ||||
\(89\) | −305.549 | − | 940.383i | −0.363911 | − | 1.12000i | −0.950660 | − | 0.310235i | \(-0.899592\pi\) |
0.586748 | − | 0.809769i | \(-0.300408\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −11.7276 | + | 36.0939i | −0.0135098 | + | 0.0415788i | ||||
\(92\) | −721.361 | − | 524.100i | −0.817469 | − | 0.593926i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 213.495 | + | 155.113i | 0.234259 | + | 0.170199i | ||||
\(95\) | −113.898 | − | 285.833i | −0.123007 | − | 0.308693i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1244.20 | + | 903.964i | −1.30236 | + | 0.946223i | −0.999976 | − | 0.00696215i | \(-0.997784\pi\) |
−0.302388 | + | 0.953185i | \(0.597784\pi\) | |||||||
\(98\) | −59.6313 | − | 183.526i | −0.0614660 | − | 0.189173i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 842.166 | + | 458.167i | 0.842166 | + | 0.458167i | ||||
\(101\) | 266.284 | 0.262339 | 0.131170 | − | 0.991360i | \(-0.458127\pi\) | ||||
0.131170 | + | 0.991360i | \(0.458127\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 630.873 | − | 458.356i | 0.603512 | − | 0.438477i | −0.243612 | − | 0.969873i | \(-0.578332\pi\) |
0.847124 | + | 0.531396i | \(0.178332\pi\) | |||||||
\(104\) | 103.253 | − | 75.0174i | 0.0973534 | − | 0.0707314i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −115.044 | − | 83.5847i | −0.105416 | − | 0.0765893i | ||||
\(107\) | −526.990 | −0.476132 | −0.238066 | − | 0.971249i | \(-0.576513\pi\) | ||||
−0.238066 | + | 0.971249i | \(0.576513\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −18.0367 | + | 55.5114i | −0.0158496 | + | 0.0487800i | −0.958669 | − | 0.284525i | \(-0.908164\pi\) |
0.942819 | + | 0.333305i | \(0.108164\pi\) | |||||||
\(110\) | −404.131 | + | 26.3191i | −0.350294 | + | 0.0228130i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −46.4858 | + | 143.069i | −0.0392187 | + | 0.120703i | ||||
\(113\) | 14.5997 | − | 44.9333i | 0.0121542 | − | 0.0374068i | −0.944795 | − | 0.327661i | \(-0.893740\pi\) |
0.956950 | + | 0.290254i | \(0.0937397\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 320.466 | − | 1259.64i | 0.259857 | − | 1.02141i | ||||
\(116\) | −95.3039 | + | 293.315i | −0.0762823 | + | 0.234773i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −178.395 | −0.139174 | ||||||||
\(119\) | −65.8397 | − | 47.8354i | −0.0507186 | − | 0.0368493i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2138.26 | + | 1553.54i | −1.60651 | + | 1.16719i | ||||
\(122\) | −0.969296 | + | 0.704235i | −0.000719311 | + | 0.000522610i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1709.35 | 1.23794 | ||||||||
\(125\) | −165.997 | + | 1387.65i | −0.118778 | + | 0.992921i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −485.405 | − | 1493.92i | −0.339155 | − | 1.04381i | −0.964639 | − | 0.263575i | \(-0.915098\pi\) |
0.625484 | − | 0.780237i | \(-0.284902\pi\) | |||||||
\(128\) | 856.231 | − | 622.088i | 0.591257 | − | 0.429573i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 76.9929 | + | 48.6238i | 0.0519440 | + | 0.0328045i | ||||
\(131\) | −2344.50 | − | 1703.38i | −1.56366 | − | 1.13607i | −0.932923 | − | 0.360076i | \(-0.882751\pi\) |
−0.630741 | − | 0.775993i | \(-0.717249\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 59.6122 | + | 43.3108i | 0.0388649 | + | 0.0282370i | ||||
\(134\) | 116.210 | − | 357.656i | 0.0749177 | − | 0.230573i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 84.5724 | + | 260.287i | 0.0533237 | + | 0.164113i | ||||
\(137\) | −402.958 | + | 1240.18i | −0.251292 | + | 0.773398i | 0.743245 | + | 0.669019i | \(0.233286\pi\) |
−0.994538 | + | 0.104379i | \(0.966714\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 381.913 | + | 1175.41i | 0.233047 | + | 0.717243i | 0.997375 | + | 0.0724158i | \(0.0230709\pi\) |
−0.764328 | + | 0.644828i | \(0.776929\pi\) | |||||||
\(140\) | −229.108 | + | 14.9207i | −0.138308 | + | 0.00900736i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −422.101 | − | 306.674i | −0.249450 | − | 0.181236i | ||||
\(143\) | 893.562 | 0.522541 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −448.620 | + | 29.2165i | −0.256937 | + | 0.0167331i | ||||
\(146\) | 408.407 | − | 296.725i | 0.231507 | − | 0.168200i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −196.470 | − | 604.672i | −0.109120 | − | 0.335836i | ||||
\(149\) | 810.211 | 0.445470 | 0.222735 | − | 0.974879i | \(-0.428501\pi\) | ||||
0.222735 | + | 0.974879i | \(0.428501\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3447.19 | −1.85781 | −0.928903 | − | 0.370324i | \(-0.879247\pi\) | ||||
−0.928903 | + | 0.370324i | \(0.879247\pi\) | |||||||
\(152\) | −76.5730 | − | 235.667i | −0.0408611 | − | 0.125758i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 78.4626 | − | 57.0064i | 0.0410565 | − | 0.0298293i | ||||
\(155\) | 922.366 | + | 2314.73i | 0.477976 | + | 1.19951i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −804.338 | −0.408873 | −0.204437 | − | 0.978880i | \(-0.565536\pi\) | ||||
−0.204437 | + | 0.978880i | \(0.565536\pi\) | |||||||
\(158\) | 529.487 | + | 384.695i | 0.266606 | + | 0.193700i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 986.104 | + | 622.760i | 0.487240 | + | 0.307709i | ||||
\(161\) | 96.1858 | + | 296.029i | 0.0470839 | + | 0.144909i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 976.108 | − | 3004.15i | 0.469047 | − | 1.44358i | −0.384774 | − | 0.923011i | \(-0.625720\pi\) |
0.853821 | − | 0.520567i | \(-0.174280\pi\) | |||||||
\(164\) | 341.514 | + | 1051.07i | 0.162608 | + | 0.500456i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 175.191 | − | 539.184i | 0.0819126 | − | 0.252101i | ||||
\(167\) | −2278.34 | − | 1655.31i | −1.05571 | − | 0.767018i | −0.0824199 | − | 0.996598i | \(-0.526265\pi\) |
−0.973290 | + | 0.229580i | \(0.926265\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1614.86 | + | 1173.27i | 0.735032 | + | 0.534032i | ||||
\(170\) | −150.184 | + | 124.801i | −0.0677565 | + | 0.0563048i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2692.70 | − | 1956.36i | 1.19370 | − | 0.867276i | ||||
\(173\) | 1133.19 | + | 3487.61i | 0.498006 | + | 1.53270i | 0.812219 | + | 0.583352i | \(0.198259\pi\) |
−0.314213 | + | 0.949352i | \(0.601741\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −143.832 | − | 302.197i | −0.0621294 | − | 0.130537i | ||||
\(176\) | 3541.89 | 1.51693 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 459.649 | − | 333.955i | 0.193552 | − | 0.140623i | ||||
\(179\) | 1965.97 | − | 1428.36i | 0.820912 | − | 0.596427i | −0.0960617 | − | 0.995375i | \(-0.530625\pi\) |
0.916974 | + | 0.398948i | \(0.130625\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2655.62 | + | 1929.42i | 1.09056 | + | 0.792336i | 0.979493 | − | 0.201477i | \(-0.0645743\pi\) |
0.111064 | + | 0.993813i | \(0.464574\pi\) | |||||||
\(182\) | −21.8071 | −0.00888160 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 323.465 | − | 995.522i | 0.129599 | − | 0.398863i | ||||
\(185\) | 712.805 | − | 592.331i | 0.283278 | − | 0.235400i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −592.120 | + | 1822.36i | −0.231551 | + | 0.712642i | ||||
\(188\) | 1088.50 | − | 3350.05i | 0.422271 | − | 1.29962i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 135.979 | − | 112.997i | 0.0519208 | − | 0.0431455i | ||||
\(191\) | −659.004 | + | 2028.21i | −0.249654 | + | 0.768355i | 0.745183 | + | 0.666861i | \(0.232362\pi\) |
−0.994836 | + | 0.101494i | \(0.967638\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3868.32 | −1.44274 | −0.721368 | − | 0.692552i | \(-0.756486\pi\) | ||||
−0.721368 | + | 0.692552i | \(0.756486\pi\) | |||||||
\(194\) | −714.925 | − | 519.423i | −0.264581 | − | 0.192229i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2083.84 | + | 1514.00i | −0.759417 | + | 0.551749i | ||||
\(197\) | −1428.32 | + | 1037.74i | −0.516568 | + | 0.375308i | −0.815309 | − | 0.579026i | \(-0.803433\pi\) |
0.298742 | + | 0.954334i | \(0.403433\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3952.78 | 1.40807 | 0.704033 | − | 0.710167i | \(-0.251381\pi\) | ||||
0.704033 | + | 0.710167i | \(0.251381\pi\) | |||||||
\(200\) | −206.027 | + | 1106.48i | −0.0728417 | + | 0.391200i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 47.2823 | + | 145.520i | 0.0164692 | + | 0.0506869i | ||||
\(203\) | 87.1002 | − | 63.2820i | 0.0301145 | − | 0.0218794i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1239.03 | + | 1029.62i | −0.422135 | + | 0.350789i | ||||
\(206\) | 362.504 | + | 263.374i | 0.122606 | + | 0.0890784i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −644.296 | − | 468.109i | −0.214778 | − | 0.156046i | ||||
\(209\) | 536.113 | − | 1649.99i | 0.177434 | − | 0.546086i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1472.71 | + | 4532.54i | 0.480501 | + | 1.47883i | 0.838392 | + | 0.545067i | \(0.183496\pi\) |
−0.357891 | + | 0.933763i | \(0.616504\pi\) | |||||||
\(212\) | −586.551 | + | 1805.22i | −0.190021 | + | 0.584825i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −93.5741 | − | 287.991i | −0.0298906 | − | 0.0919939i | ||||
\(215\) | 4102.20 | + | 2590.69i | 1.30125 | + | 0.821783i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −482.751 | − | 350.739i | −0.151020 | − | 0.109722i | ||||
\(218\) | −33.5387 | −0.0104199 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2001.05 | + | 5021.75i | 0.613231 | + | 1.53894i | ||||
\(221\) | 348.560 | − | 253.244i | 0.106094 | − | 0.0770816i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −679.879 | − | 2092.45i | −0.204162 | − | 0.628345i | −0.999747 | − | 0.0225031i | \(-0.992836\pi\) |
0.795585 | − | 0.605842i | \(-0.207164\pi\) | |||||||
\(224\) | −279.300 | −0.0833102 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 27.1477 | 0.00799042 | ||||||||
\(227\) | −301.326 | − | 927.386i | −0.0881045 | − | 0.271158i | 0.897291 | − | 0.441440i | \(-0.145532\pi\) |
−0.985395 | + | 0.170282i | \(0.945532\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1289.94 | + | 937.197i | −0.372235 | + | 0.270444i | −0.758137 | − | 0.652095i | \(-0.773890\pi\) |
0.385902 | + | 0.922540i | \(0.373890\pi\) | |||||||
\(230\) | 745.274 | − | 48.5362i | 0.213661 | − | 0.0139147i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −362.057 | −0.102458 | ||||||||
\(233\) | −3787.94 | − | 2752.10i | −1.06505 | − | 0.773802i | −0.0900318 | − | 0.995939i | \(-0.528697\pi\) |
−0.975016 | + | 0.222137i | \(0.928697\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5123.84 | − | 333.691i | 1.42231 | − | 0.0926282i | ||||
\(236\) | 735.834 | + | 2264.66i | 0.202961 | + | 0.624649i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 14.4505 | − | 44.4741i | 0.00393566 | − | 0.0121127i | ||||
\(239\) | −22.3460 | − | 68.7738i | −0.00604787 | − | 0.0186134i | 0.947987 | − | 0.318309i | \(-0.103115\pi\) |
−0.954035 | + | 0.299695i | \(0.903115\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 566.484 | − | 1743.46i | 0.151413 | − | 0.466000i | −0.846367 | − | 0.532600i | \(-0.821215\pi\) |
0.997780 | + | 0.0665998i | \(0.0212151\pi\) | |||||||
\(242\) | −1228.66 | − | 892.672i | −0.326368 | − | 0.237120i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 12.9381 | + | 9.40010i | 0.00339459 | + | 0.00246631i | ||||
\(245\) | −3174.63 | − | 2004.89i | −0.827835 | − | 0.522807i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −315.591 | + | 229.290i | −0.0812979 | + | 0.0590664i | ||||
\(248\) | 620.103 | + | 1908.48i | 0.158776 | + | 0.488664i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −787.802 | + | 155.681i | −0.199300 | + | 0.0393844i | ||||
\(251\) | 211.935 | 0.0532956 | 0.0266478 | − | 0.999645i | \(-0.491517\pi\) | ||||
0.0266478 | + | 0.999645i | \(0.491517\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5929.02 | − | 4307.69i | 1.47334 | − | 1.07044i | ||||
\(254\) | 730.214 | − | 530.531i | 0.180385 | − | 0.131057i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2029.15 | − | 1474.26i | −0.495398 | − | 0.359927i | ||||
\(257\) | 7074.89 | 1.71720 | 0.858599 | − | 0.512648i | \(-0.171335\pi\) | ||||
0.858599 | + | 0.512648i | \(0.171335\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −68.5851 | + | 211.083i | −0.0164543 | + | 0.0506412i | ||||
\(260\) | 299.686 | − | 1177.96i | 0.0714836 | − | 0.280977i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 514.572 | − | 1583.69i | 0.121337 | − | 0.373437i | ||||
\(263\) | 1562.26 | − | 4808.14i | 0.366286 | − | 1.12731i | −0.582886 | − | 0.812554i | \(-0.698077\pi\) |
0.949172 | − | 0.314758i | \(-0.101923\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2761.04 | + | 179.814i | −0.640036 | + | 0.0416825i | ||||
\(266\) | −13.0837 | + | 40.2675i | −0.00301584 | + | 0.00928179i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5019.66 | −1.14412 | ||||||||
\(269\) | 1867.63 | + | 1356.91i | 0.423314 | + | 0.307556i | 0.778970 | − | 0.627061i | \(-0.215742\pi\) |
−0.355656 | + | 0.934617i | \(0.615742\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 475.680 | − | 345.602i | 0.106625 | − | 0.0774679i | −0.533195 | − | 0.845992i | \(-0.679009\pi\) |
0.639820 | + | 0.768525i | \(0.279009\pi\) | |||||||
\(272\) | 1381.62 | − | 1003.81i | 0.307989 | − | 0.223767i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −749.287 | −0.165205 | ||||||||
\(275\) | −5720.46 | + | 5419.47i | −1.25439 | + | 1.18839i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −936.066 | − | 2880.92i | −0.203042 | − | 0.624900i | −0.999788 | − | 0.0205857i | \(-0.993447\pi\) |
0.796746 | − | 0.604315i | \(-0.206553\pi\) | |||||||
\(278\) | −574.527 | + | 417.419i | −0.123949 | + | 0.0900543i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −99.7724 | − | 250.385i | −0.0212948 | − | 0.0534405i | ||||
\(281\) | −4977.64 | − | 3616.47i | −1.05673 | − | 0.767759i | −0.0832489 | − | 0.996529i | \(-0.526530\pi\) |
−0.973481 | + | 0.228770i | \(0.926530\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4502.63 | + | 3271.35i | 0.945773 | + | 0.687144i | 0.949803 | − | 0.312848i | \(-0.101283\pi\) |
−0.00403070 | + | 0.999992i | \(0.501283\pi\) | |||||||
\(284\) | −2152.07 | + | 6623.38i | −0.449654 | + | 1.38389i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 158.664 | + | 488.316i | 0.0328041 | + | 0.100961i | ||||
\(287\) | 119.218 | − | 366.915i | 0.0245199 | − | 0.0754645i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1232.70 | − | 3793.86i | −0.250906 | − | 0.772209i | ||||
\(290\) | −95.6247 | − | 239.976i | −0.0193630 | − | 0.0485926i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5451.40 | − | 3960.67i | −1.09253 | − | 0.793770i | ||||
\(293\) | −2865.97 | −0.571440 | −0.285720 | − | 0.958313i | \(-0.592233\pi\) | ||||
−0.285720 | + | 0.958313i | \(0.592233\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2669.65 | + | 2218.44i | −0.526892 | + | 0.437840i | ||||
\(296\) | 603.838 | − | 438.714i | 0.118572 | − | 0.0861478i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 143.864 | + | 442.767i | 0.0279658 | + | 0.0860698i | ||||
\(299\) | −1647.85 | −0.318722 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1161.89 | −0.222492 | ||||||||
\(302\) | −612.095 | − | 1883.83i | −0.116629 | − | 0.358948i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1250.94 | + | 908.859i | −0.236007 | + | 0.171469i | ||||
\(305\) | −5.74779 | + | 22.5925i | −0.00107907 | + | 0.00424145i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1957.38 | −0.363888 | −0.181944 | − | 0.983309i | \(-0.558239\pi\) | ||||
−0.181944 | + | 0.983309i | \(0.558239\pi\) | |||||||
\(308\) | −1047.32 | − | 760.920i | −0.193755 | − | 0.140771i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1101.18 | + | 915.069i | −0.201752 | + | 0.167653i | ||||
\(311\) | −1081.33 | − | 3327.99i | −0.197159 | − | 0.606794i | −0.999945 | − | 0.0105260i | \(-0.996649\pi\) |
0.802785 | − | 0.596268i | \(-0.203351\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 132.624 | − | 408.176i | 0.0239501 | − | 0.0737107i | −0.938367 | − | 0.345640i | \(-0.887662\pi\) |
0.962317 | + | 0.271930i | \(0.0876618\pi\) | |||||||
\(314\) | −142.821 | − | 439.557i | −0.0256683 | − | 0.0789989i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2699.57 | − | 8308.43i | 0.480579 | − | 1.47907i | ||||
\(317\) | 3210.73 | + | 2332.73i | 0.568873 | + | 0.413310i | 0.834696 | − | 0.550712i | \(-0.185644\pi\) |
−0.265823 | + | 0.964022i | \(0.585644\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2050.77 | − | 1489.97i | −0.359940 | − | 0.261512i | ||||
\(320\) | 1073.80 | − | 4220.72i | 0.187585 | − | 0.737329i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −144.696 | + | 105.128i | −0.0250422 | + | 0.0181942i | ||||
\(323\) | −258.495 | − | 795.566i | −0.0445296 | − | 0.137048i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1756.85 | − | 229.805i | 0.299854 | − | 0.0392225i | ||||
\(326\) | 1815.04 | 0.308361 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1049.62 | + | 762.594i | −0.176694 | + | 0.128376i | ||||
\(329\) | −994.801 | + | 722.765i | −0.166703 | + | 0.121117i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4997.11 | + | 3630.61i | 0.829807 | + | 0.602890i | 0.919505 | − | 0.393079i | \(-0.128590\pi\) |
−0.0896980 | + | 0.995969i | \(0.528590\pi\) | |||||||
\(332\) | −7567.38 | −1.25094 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 500.051 | − | 1539.00i | 0.0819209 | − | 0.252127i | ||||
\(335\) | −2708.61 | − | 6797.40i | −0.441752 | − | 1.10860i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2557.17 | + | 7870.15i | −0.413346 | + | 1.27215i | 0.500375 | + | 0.865809i | \(0.333195\pi\) |
−0.913722 | + | 0.406341i | \(0.866805\pi\) | |||||||
\(338\) | −354.431 | + | 1090.83i | −0.0570370 | + | 0.175542i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2203.78 | + | 1391.77i | 0.351520 | + | 0.221997i | ||||
\(341\) | −4341.55 | + | 13361.9i | −0.689466 | + | 2.12196i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1817.53 | 0.286114 | ||||||||
\(344\) | 3161.10 | + | 2296.67i | 0.495450 | + | 0.359966i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1704.71 | + | 1238.54i | −0.264872 | + | 0.192440i | ||||
\(347\) | 3062.22 | − | 2224.83i | 0.473743 | − | 0.344194i | −0.325156 | − | 0.945661i | \(-0.605417\pi\) |
0.798898 | + | 0.601466i | \(0.205417\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7094.08 | −1.08807 | −0.544037 | − | 0.839061i | \(-0.683105\pi\) | ||||
−0.544037 | + | 0.839061i | \(0.683105\pi\) | |||||||
\(350\) | 139.606 | − | 132.261i | 0.0213208 | − | 0.0201989i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2032.12 | + | 6254.22i | 0.307706 | + | 0.947020i | ||||
\(353\) | −1416.95 | + | 1029.47i | −0.213644 | + | 0.155222i | −0.689461 | − | 0.724323i | \(-0.742153\pi\) |
0.475817 | + | 0.879544i | \(0.342153\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −10130.3 | + | 659.740i | −1.51454 | + | 0.0986348i | ||||
\(356\) | −6135.38 | − | 4457.62i | −0.913412 | − | 0.663633i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1129.66 | + | 820.744i | 0.166772 | + | 0.121167i | ||||
\(359\) | 101.297 | − | 311.759i | 0.0148920 | − | 0.0458329i | −0.943334 | − | 0.331844i | \(-0.892329\pi\) |
0.958226 | + | 0.286011i | \(0.0923293\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1885.50 | − | 5802.98i | −0.274895 | − | 0.846039i | ||||
\(362\) | −582.856 | + | 1793.85i | −0.0846250 | + | 0.260449i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 89.9489 | + | 276.834i | 0.0129522 | + | 0.0398628i | ||||
\(365\) | 2421.79 | − | 9519.21i | 0.347294 | − | 1.36509i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4716.67 | + | 3426.86i | 0.670867 | + | 0.487413i | 0.870315 | − | 0.492495i | \(-0.163915\pi\) |
−0.199448 | + | 0.979908i | \(0.563915\pi\) | |||||||
\(368\) | −6531.74 | −0.925246 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 450.267 | + | 284.360i | 0.0632656 | + | 0.0399545i | ||||
\(371\) | 536.061 | − | 389.471i | 0.0750159 | − | 0.0545022i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 887.259 | + | 2730.70i | 0.123165 | + | 0.379063i | 0.993562 | − | 0.113287i | \(-0.0361380\pi\) |
−0.870397 | + | 0.492350i | \(0.836138\pi\) | |||||||
\(374\) | −1101.03 | −0.152227 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4135.18 | 0.567169 | ||||||||
\(377\) | 176.130 | + | 542.073i | 0.0240615 | + | 0.0740535i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8973.27 | − | 6519.46i | 1.21616 | − | 0.883594i | 0.220387 | − | 0.975412i | \(-0.429268\pi\) |
0.995776 | + | 0.0918182i | \(0.0292678\pi\) | |||||||
\(380\) | −1995.33 | − | 1260.12i | −0.269364 | − | 0.170113i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1225.39 | −0.164127 | ||||||||
\(383\) | 579.752 | + | 421.215i | 0.0773472 | + | 0.0561960i | 0.625787 | − | 0.779994i | \(-0.284778\pi\) |
−0.548440 | + | 0.836190i | \(0.684778\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 465.272 | − | 1828.82i | 0.0615908 | − | 0.242092i | ||||
\(386\) | −686.872 | − | 2113.97i | −0.0905722 | − | 0.278753i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3645.02 | + | 11218.2i | −0.476928 | + | 1.46783i | ||||
\(389\) | −2338.83 | − | 7198.19i | −0.304842 | − | 0.938207i | −0.979736 | − | 0.200293i | \(-0.935811\pi\) |
0.674894 | − | 0.737915i | \(-0.264189\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1091.95 | − | 3360.68i | 0.141234 | − | 0.434673i | ||||
\(392\) | −2446.32 | − | 1777.36i | −0.315199 | − | 0.229005i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −820.724 | − | 596.291i | −0.104943 | − | 0.0762454i | ||||
\(395\) | 12707.6 | − | 827.584i | 1.61870 | − | 0.105418i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −576.649 | + | 418.960i | −0.0728997 | + | 0.0529648i | −0.623638 | − | 0.781713i | \(-0.714346\pi\) |
0.550739 | + | 0.834678i | \(0.314346\pi\) | |||||||
\(398\) | 701.868 | + | 2160.13i | 0.0883957 | + | 0.272054i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 6963.79 | − | 910.899i | 0.870473 | − | 0.113862i | ||||
\(401\) | 5539.33 | 0.689828 | 0.344914 | − | 0.938634i | \(-0.387908\pi\) | ||||
0.344914 | + | 0.938634i | \(0.387908\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2555.72 | − | 1856.84i | 0.315904 | − | 0.229518i | ||||
\(404\) | 1652.30 | − | 1200.47i | 0.203478 | − | 0.147835i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 50.0484 | + | 36.3623i | 0.00611788 | + | 0.00444490i | ||||
\(407\) | 5225.69 | 0.636432 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2701.55 | + | 8314.52i | −0.326609 | + | 1.00520i | 0.644100 | + | 0.764941i | \(0.277232\pi\) |
−0.970709 | + | 0.240258i | \(0.922768\pi\) | |||||||
\(410\) | −782.676 | − | 494.288i | −0.0942771 | − | 0.0595393i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1848.21 | − | 5688.21i | 0.221007 | − | 0.680190i | ||||
\(413\) | 256.870 | − | 790.564i | 0.0306047 | − | 0.0941916i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4083.35 | − | 10247.4i | −0.482997 | − | 1.21211i | ||||
\(416\) | 456.922 | − | 1406.26i | 0.0538521 | − | 0.165740i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 996.884 | 0.116649 | ||||||||
\(419\) | 2623.21 | + | 1905.87i | 0.305853 | + | 0.222215i | 0.730115 | − | 0.683324i | \(-0.239467\pi\) |
−0.424262 | + | 0.905539i | \(0.639467\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1410.17 | − | 1024.55i | 0.163249 | − | 0.118607i | −0.503162 | − | 0.864192i | \(-0.667830\pi\) |
0.666410 | + | 0.745585i | \(0.267830\pi\) | |||||||
\(422\) | −2215.46 | + | 1609.63i | −0.255561 | + | 0.185676i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2228.29 | −0.255225 | ||||||||
\(425\) | −695.508 | + | 3735.26i | −0.0793813 | + | 0.426321i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.72516 | − | 5.30950i | −0.000195518 | − | 0.000601744i | ||||
\(428\) | −3269.99 | + | 2375.78i | −0.369301 | + | 0.268313i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −687.366 | + | 2701.79i | −0.0770878 | + | 0.303005i | ||||
\(431\) | 5437.70 | + | 3950.72i | 0.607715 | + | 0.441531i | 0.848609 | − | 0.529021i | \(-0.177441\pi\) |
−0.240894 | + | 0.970551i | \(0.577441\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4669.15 | + | 3392.34i | 0.518210 | + | 0.376502i | 0.815929 | − | 0.578152i | \(-0.196226\pi\) |
−0.297719 | + | 0.954654i | \(0.596226\pi\) | |||||||
\(434\) | 105.954 | − | 326.094i | 0.0117188 | − | 0.0360668i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 138.339 | + | 425.763i | 0.0151955 | + | 0.0467668i | ||||
\(437\) | −988.668 | + | 3042.81i | −0.108225 | + | 0.333083i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1919.93 | − | 5908.95i | −0.208732 | − | 0.642412i | −0.999539 | − | 0.0303466i | \(-0.990339\pi\) |
0.790807 | − | 0.612065i | \(-0.209661\pi\) | |||||||
\(440\) | −4880.82 | + | 4055.90i | −0.528827 | + | 0.439449i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 200.285 | + | 145.516i | 0.0215534 | + | 0.0156594i | ||||
\(443\) | 6346.31 | 0.680638 | 0.340319 | − | 0.940310i | \(-0.389465\pi\) | ||||
0.340319 | + | 0.940310i | \(0.389465\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2725.65 | − | 10713.6i | 0.290356 | − | 1.14129i | ||||
\(446\) | 1022.77 | − | 743.085i | 0.108586 | − | 0.0788926i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 322.293 | + | 991.917i | 0.0339887 | + | 0.104606i | ||||
\(449\) | 2732.09 | 0.287161 | 0.143581 | − | 0.989639i | \(-0.454138\pi\) | ||||
0.143581 | + | 0.989639i | \(0.454138\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9083.55 | −0.948399 | ||||||||
\(452\) | −111.977 | − | 344.631i | −0.0116526 | − | 0.0358630i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 453.297 | − | 329.339i | 0.0468596 | − | 0.0340455i | ||||
\(455\) | −326.340 | + | 271.184i | −0.0336243 | + | 0.0279413i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11572.5 | 1.18455 | 0.592276 | − | 0.805735i | \(-0.298230\pi\) | ||||
0.592276 | + | 0.805735i | \(0.298230\pi\) | |||||||
\(458\) | −741.209 | − | 538.520i | −0.0756210 | − | 0.0549419i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −3690.22 | − | 9260.81i | −0.374038 | − | 0.938669i | ||||
\(461\) | 1118.62 | + | 3442.75i | 0.113013 | + | 0.347819i | 0.991527 | − | 0.129897i | \(-0.0414647\pi\) |
−0.878514 | + | 0.477716i | \(0.841465\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3882.35 | + | 11948.7i | −0.389694 | + | 1.19935i | 0.543324 | + | 0.839523i | \(0.317166\pi\) |
−0.933018 | + | 0.359831i | \(0.882834\pi\) | |||||||
\(464\) | 698.143 | + | 2148.66i | 0.0698502 | + | 0.214977i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 831.377 | − | 2558.72i | 0.0826455 | − | 0.254357i | ||||
\(467\) | 14107.1 | + | 10249.4i | 1.39786 | + | 1.01561i | 0.994951 | + | 0.100366i | \(0.0320012\pi\) |
0.402910 | + | 0.915240i | \(0.367999\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1417.64 | + | 1029.97i | 0.139575 | + | 0.101407i | ||||
\(470\) | 1092.16 | + | 2740.84i | 0.107187 | + | 0.268991i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2261.54 | + | 1643.11i | −0.220542 | + | 0.160233i | ||||
\(473\) | 8453.64 | + | 26017.6i | 0.821773 | + | 2.52916i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 629.722 | − | 3381.95i | 0.0608287 | − | 0.326683i | ||||
\(476\) | −624.189 | −0.0601043 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 33.6159 | − | 24.4234i | 0.00321665 | − | 0.00233703i | ||||
\(479\) | −555.095 | + | 403.300i | −0.0529497 | + | 0.0384702i | −0.613945 | − | 0.789349i | \(-0.710418\pi\) |
0.560996 | + | 0.827819i | \(0.310418\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −950.593 | − | 690.646i | −0.0901108 | − | 0.0654693i | ||||
\(482\) | 1053.36 | 0.0995417 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6264.27 | + | 19279.4i | −0.588305 | + | 1.81062i | ||||
\(485\) | −17158.1 | + | 1117.42i | −1.60641 | + | 0.104618i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1216.53 | − | 3744.08i | 0.113195 | − | 0.348379i | −0.878371 | − | 0.477979i | \(-0.841369\pi\) |
0.991566 | + | 0.129600i | \(0.0413694\pi\) | |||||||
\(488\) | −5.80157 | + | 17.8554i | −0.000538165 | + | 0.00165630i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 531.942 | − | 2090.88i | 0.0490422 | − | 0.192768i | ||||
\(491\) | 6027.95 | − | 18552.1i | 0.554048 | − | 1.70518i | −0.144397 | − | 0.989520i | \(-0.546124\pi\) |
0.698445 | − | 0.715664i | \(-0.253876\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1222.23 | −0.111656 | ||||||||
\(494\) | −181.341 | − | 131.752i | −0.0165160 | − | 0.0119996i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 10130.3 | − | 7360.12i | 0.917067 | − | 0.666288i | ||||
\(497\) | 1966.82 | − | 1428.98i | 0.177513 | − | 0.128971i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −8132.04 | −0.729539 | −0.364770 | − | 0.931098i | \(-0.618852\pi\) | ||||
−0.364770 | + | 0.931098i | \(0.618852\pi\) | |||||||
\(500\) | 5225.80 | + | 9358.74i | 0.467410 | + | 0.837071i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 37.6318 | + | 115.819i | 0.00334579 | + | 0.0102973i | ||||
\(503\) | 17482.4 | − | 12701.7i | 1.54971 | − | 1.12593i | 0.605845 | − | 0.795582i | \(-0.292835\pi\) |
0.943860 | − | 0.330345i | \(-0.107165\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2517.20 | + | 1589.70i | 0.221809 | + | 0.140081i | ||||
\(506\) | 3406.86 | + | 2475.23i | 0.299315 | + | 0.217465i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −9746.86 | − | 7081.51i | −0.851274 | − | 0.618487i | ||||
\(509\) | −4650.20 | + | 14311.8i | −0.404944 | + | 1.24629i | 0.515999 | + | 0.856589i | \(0.327421\pi\) |
−0.920942 | + | 0.389699i | \(0.872579\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 726.886 | + | 2237.12i | 0.0629267 | + | 0.193668i | ||||
\(512\) | 3061.77 | − | 9423.15i | 0.264282 | − | 0.813376i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1256.24 | + | 3866.31i | 0.107802 | + | 0.331782i | ||||
\(515\) | 8700.01 | − | 566.590i | 0.744405 | − | 0.0484795i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 23422.5 | + | 17017.4i | 1.99250 | + | 1.44763i | ||||
\(518\) | −127.532 | −0.0108174 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1423.90 | − | 92.7318i | 0.120081 | − | 0.00782030i | ||||
\(521\) | 6623.59 | − | 4812.32i | 0.556977 | − | 0.404667i | −0.273375 | − | 0.961908i | \(-0.588140\pi\) |
0.830351 | + | 0.557240i | \(0.188140\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4169.76 | + | 12833.2i | 0.348625 | + | 1.07296i | 0.959614 | + | 0.281319i | \(0.0907720\pi\) |
−0.610989 | + | 0.791639i | \(0.709228\pi\) | |||||||
\(524\) | −22226.9 | −1.85303 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2904.97 | 0.240804 | ||||||||
\(527\) | 2093.34 | + | 6442.65i | 0.173031 | + | 0.532535i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1090.64 | + | 792.396i | −0.0896392 | + | 0.0651267i | ||||
\(530\) | −588.525 | − | 1476.94i | −0.0482338 | − | 0.121045i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 565.149 | 0.0460570 | ||||||||
\(533\) | 1652.37 | + | 1200.51i | 0.134281 | + | 0.0975611i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4981.66 | − | 3146.09i | −0.402572 | − | 0.254238i | ||||
\(536\) | −1820.98 | − | 5604.41i | −0.146743 | − | 0.451630i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −409.908 | + | 1261.57i | −0.0328483 | + | 0.101097i | ||||
\(539\) | −6542.13 | − | 20134.6i | −0.522801 | − | 1.60902i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2450.73 | + | 7542.58i | −0.194760 | + | 0.599410i | 0.805219 | + | 0.592977i | \(0.202048\pi\) |
−0.999979 | + | 0.00643276i | \(0.997952\pi\) | |||||||
\(542\) | 273.329 | + | 198.585i | 0.0216614 | + | 0.0157379i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2565.20 | + | 1863.72i | 0.202172 | + | 0.146887i | ||||
\(545\) | −501.901 | + | 417.073i | −0.0394478 | + | 0.0327806i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 11905.8 | − | 8650.05i | 0.930629 | − | 0.676142i | −0.0155174 | − | 0.999880i | \(-0.504940\pi\) |
0.946147 | + | 0.323738i | \(0.104940\pi\) | |||||||
\(548\) | 3090.62 | + | 9511.95i | 0.240921 | + | 0.741479i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3977.39 | − | 2163.84i | −0.308357 | − | 0.167757i | ||||
\(551\) | 1106.63 | 0.0855606 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2467.20 | + | 1792.52i | −0.189721 | + | 0.137841i | ||||
\(554\) | 1408.16 | − | 1023.09i | 0.107991 | − | 0.0784601i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 7668.77 | + | 5571.69i | 0.584943 | + | 0.424986i | ||||
\(557\) | −22711.9 | −1.72771 | −0.863856 | − | 0.503739i | \(-0.831957\pi\) | ||||
−0.863856 | + | 0.503739i | \(0.831957\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1900.80 | − | 5850.06i | 0.143820 | − | 0.442632i | ||||
\(560\) | −1293.54 | + | 1074.92i | −0.0976110 | + | 0.0811134i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 1092.49 | − | 3362.35i | 0.0820000 | − | 0.252370i | ||||
\(563\) | −715.529 | + | 2202.17i | −0.0535630 | + | 0.164850i | −0.974260 | − | 0.225429i | \(-0.927622\pi\) |
0.920697 | + | 0.390279i | \(0.127622\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 406.260 | − | 337.597i | 0.0302504 | − | 0.0251377i | ||||
\(566\) | −988.238 | + | 3041.48i | −0.0733900 | + | 0.225871i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −8175.66 | −0.603949 | ||||||||
\(569\) | −5246.99 | − | 3812.16i | −0.386582 | − | 0.280868i | 0.377472 | − | 0.926021i | \(-0.376794\pi\) |
−0.764053 | + | 0.645153i | \(0.776794\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1237.96 | − | 899.434i | 0.0907307 | − | 0.0659197i | −0.541495 | − | 0.840704i | \(-0.682142\pi\) |
0.632226 | + | 0.774784i | \(0.282142\pi\) | |||||||
\(572\) | 5544.57 | − | 4028.36i | 0.405297 | − | 0.294466i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 221.682 | 0.0161199 | ||||||||
\(575\) | 10549.3 | − | 9994.25i | 0.765109 | − | 0.724851i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2455.32 | + | 7556.70i | 0.177151 | + | 0.545216i | 0.999725 | − | 0.0234424i | \(-0.00746262\pi\) |
−0.822574 | + | 0.568658i | \(0.807463\pi\) | |||||||
\(578\) | 1854.40 | − | 1347.30i | 0.133448 | − | 0.0969556i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2651.98 | + | 2203.76i | −0.189858 | + | 0.157769i | ||||
\(581\) | 2137.16 | + | 1552.74i | 0.152606 | + | 0.110875i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −12621.5 | − | 9170.06i | −0.896619 | − | 0.651432i | ||||
\(584\) | 2444.45 | − | 7523.26i | 0.173206 | − | 0.533073i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −508.891 | − | 1566.21i | −0.0358739 | − | 0.110409i | ||||
\(587\) | 863.957 | − | 2658.98i | 0.0607484 | − | 0.186964i | −0.916077 | − | 0.401003i | \(-0.868662\pi\) |
0.976825 | + | 0.214038i | \(0.0686618\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1895.34 | − | 5833.26i | −0.132591 | − | 0.408074i | ||||
\(590\) | −1686.37 | − | 1065.01i | −0.117673 | − | 0.0743145i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3767.95 | − | 2737.58i | −0.261591 | − | 0.190057i | ||||
\(593\) | −18900.9 | −1.30889 | −0.654443 | − | 0.756112i | \(-0.727097\pi\) | ||||
−0.654443 | + | 0.756112i | \(0.727097\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −336.812 | − | 845.248i | −0.0232066 | − | 0.0582383i | ||||
\(596\) | 5027.38 | − | 3652.60i | 0.345519 | − | 0.251034i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −292.598 | − | 900.524i | −0.0200087 | − | 0.0615806i | ||||
\(599\) | −5146.04 | −0.351021 | −0.175511 | − | 0.984478i | \(-0.556158\pi\) | ||||
−0.175511 | + | 0.984478i | \(0.556158\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1011.92 | −0.0686805 | −0.0343403 | − | 0.999410i | \(-0.510933\pi\) | ||||
−0.0343403 | + | 0.999410i | \(0.510933\pi\) | |||||||
\(602\) | −206.309 | − | 634.953i | −0.0139676 | − | 0.0429879i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −21389.9 | + | 15540.7i | −1.44096 | + | 1.04692i | ||||
\(605\) | −29487.5 | + | 1920.38i | −1.98155 | + | 0.129049i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10173.3 | 0.680263 | 0.340131 | − | 0.940378i | \(-0.389528\pi\) | ||||
0.340131 | + | 0.940378i | \(0.389528\pi\) | |||||||
\(608\) | −2322.56 | − | 1687.44i | −0.154922 | − | 0.112557i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −13.3670 | + | 0.870530i | −0.000887238 | + | 5.77815e-5i | ||||
\(611\) | −2011.64 | − | 6191.20i | −0.133195 | − | 0.409933i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6821.12 | − | 20993.3i | 0.449433 | − | 1.38321i | −0.428115 | − | 0.903724i | \(-0.640822\pi\) |
0.877548 | − | 0.479489i | \(-0.159178\pi\) | |||||||
\(614\) | −347.559 | − | 1069.68i | −0.0228442 | − | 0.0703071i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 469.626 | − | 1445.36i | 0.0307171 | − | 0.0945376i | ||||
\(617\) | −18690.4 | − | 13579.4i | −1.21953 | − | 0.886039i | −0.223467 | − | 0.974712i | \(-0.571737\pi\) |
−0.996061 | + | 0.0886729i | \(0.971737\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1080.02 | − | 784.684i | −0.0701290 | − | 0.0509517i | 0.552168 | − | 0.833733i | \(-0.313801\pi\) |
−0.622297 | + | 0.782781i | \(0.713801\pi\) | |||||||
\(620\) | 16158.6 | + | 10204.7i | 1.04669 | + | 0.661019i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1626.69 | − | 1181.86i | 0.104862 | − | 0.0761868i | ||||
\(623\) | 818.087 | + | 2517.81i | 0.0526099 | + | 0.161917i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9853.35 | + | 12126.5i | −0.630614 | + | 0.776096i | ||||
\(626\) | 246.610 | 0.0157453 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4990.93 | + | 3626.12i | −0.317133 | + | 0.230411i | ||||
\(629\) | 2038.44 | − | 1481.01i | 0.129218 | − | 0.0938820i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5073.00 | + | 3685.75i | 0.320052 | + | 0.232531i | 0.736198 | − | 0.676767i | \(-0.236619\pi\) |
−0.416146 | + | 0.909298i | \(0.636619\pi\) | |||||||
\(632\) | 10255.6 | 0.645485 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −704.692 | + | 2168.82i | −0.0441434 | + | 0.135859i | ||||
\(635\) | 4330.06 | − | 17019.9i | 0.270603 | − | 1.06365i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1471.00 | + | 4527.27i | −0.0914962 | + | 0.281596i | ||||
\(638\) | 450.102 | − | 1385.27i | 0.0279306 | − | 0.0859616i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 11807.8 | − | 768.986i | 0.729288 | − | 0.0474951i | ||||
\(641\) | −2824.44 | + | 8692.72i | −0.174038 | + | 0.535635i | −0.999588 | − | 0.0286942i | \(-0.990865\pi\) |
0.825550 | + | 0.564329i | \(0.190865\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12262.8 | −0.752095 | −0.376047 | − | 0.926600i | \(-0.622717\pi\) | ||||
−0.376047 | + | 0.926600i | \(0.622717\pi\) | |||||||
\(644\) | 1931.40 | + | 1403.24i | 0.118180 | + | 0.0858626i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 388.864 | − | 282.527i | 0.0236837 | − | 0.0172072i | ||||
\(647\) | −13172.3 | + | 9570.20i | −0.800394 | + | 0.581520i | −0.911030 | − | 0.412341i | \(-0.864711\pi\) |
0.110636 | + | 0.993861i | \(0.464711\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −19571.7 | −1.18375 | ||||||||
\(650\) | 437.537 | + | 919.284i | 0.0264025 | + | 0.0554728i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7486.58 | − | 23041.3i | −0.449689 | − | 1.38400i | ||||
\(653\) | 3811.13 | − | 2768.95i | 0.228393 | − | 0.165938i | −0.467703 | − | 0.883886i | \(-0.654918\pi\) |
0.696097 | + | 0.717948i | \(0.254918\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −11993.6 | − | 30098.6i | −0.715464 | − | 1.79550i | ||||
\(656\) | 6549.63 | + | 4758.59i | 0.389817 | + | 0.283219i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −571.619 | − | 415.306i | −0.0338663 | − | 0.0246053i | ||||
\(659\) | −5153.02 | + | 15859.4i | −0.304603 | + | 0.937471i | 0.675222 | + | 0.737614i | \(0.264048\pi\) |
−0.979825 | + | 0.199857i | \(0.935952\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5801.03 | − | 17853.7i | −0.341352 | − | 1.05057i | −0.963508 | − | 0.267680i | \(-0.913743\pi\) |
0.622156 | − | 0.782894i | \(-0.286257\pi\) | |||||||
\(662\) | −1096.77 | + | 3375.50i | −0.0643913 | + | 0.198176i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2745.22 | − | 8448.91i | −0.160444 | − | 0.493797i | ||||
\(665\) | 304.954 | + | 765.299i | 0.0177829 | + | 0.0446271i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3781.90 | + | 2747.71i | 0.219544 | + | 0.159508i | ||||
\(668\) | −21599.7 | −1.25107 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3233.72 | − | 2687.18i | 0.186462 | − | 0.154947i | ||||
\(671\) | −106.341 | + | 77.2614i | −0.00611812 | + | 0.00444507i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9259.20 | + | 28496.9i | 0.530336 | + | 1.63221i | 0.753517 | + | 0.657429i | \(0.228356\pi\) |
−0.223181 | + | 0.974777i | \(0.571644\pi\) | |||||||
\(674\) | −4754.96 | −0.271742 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 15309.6 | 0.871052 | ||||||||
\(677\) | 6669.63 | + | 20527.0i | 0.378633 | + | 1.16531i | 0.940995 | + | 0.338421i | \(0.109893\pi\) |
−0.562362 | + | 0.826891i | \(0.690107\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3331.26 | − | 2420.30i | 0.188280 | − | 0.136793i | ||||
\(680\) | −754.429 | + | 2965.40i | −0.0425456 | + | 0.167232i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −8072.96 | −0.453269 | ||||||||
\(683\) | 4810.04 | + | 3494.70i | 0.269474 | + | 0.195784i | 0.714313 | − | 0.699826i | \(-0.246739\pi\) |
−0.444839 | + | 0.895610i | \(0.646739\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −11213.0 | + | 9317.82i | −0.625438 | + | 0.519731i | ||||
\(686\) | 322.726 | + | 993.248i | 0.0179617 | + | 0.0552804i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7534.37 | − | 23188.4i | 0.417508 | − | 1.28496i | ||||
\(689\) | 1084.00 | + | 3336.20i | 0.0599377 | + | 0.184469i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4660.89 | + | 14344.7i | −0.256597 | + | 0.789725i | 0.736914 | + | 0.675987i | \(0.236282\pi\) |
−0.993511 | + | 0.113738i | \(0.963718\pi\) | |||||||
\(692\) | 22754.4 | + | 16532.0i | 1.24999 | + | 0.908168i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1759.57 | + | 1278.40i | 0.0962427 | + | 0.0699244i | ||||
\(695\) | −3406.86 | + | 13391.2i | −0.185942 | + | 0.730872i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3543.31 | + | 2574.37i | −0.192557 | + | 0.139901i | ||||
\(698\) | −1259.65 | − | 3876.80i | −0.0683071 | − | 0.210228i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2254.84 | − | 1226.71i | −0.121750 | − | 0.0662363i | ||||
\(701\) | −29869.3 | −1.60934 | −0.804671 | − | 0.593722i | \(-0.797658\pi\) | ||||
−0.804671 | + | 0.593722i | \(0.797658\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1845.63 | + | 1340.93i | −0.0990174 | + | 0.0719403i | ||||
\(704\) | 19866.6 | − | 14433.9i | 1.06357 | − | 0.772726i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −814.186 | − | 591.541i | −0.0434027 | − | 0.0315339i | ||||
\(707\) | −712.959 | −0.0379259 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3546.30 | − | 10914.4i | 0.187848 | − | 0.578136i | −0.812138 | − | 0.583465i | \(-0.801696\pi\) |
0.999986 | + | 0.00532961i | \(0.00169648\pi\) | |||||||
\(710\) | −2159.31 | − | 5418.91i | −0.114137 | − | 0.286434i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2751.16 | − | 8467.19i | 0.144809 | − | 0.445676i | ||||
\(713\) | 8006.43 | − | 24641.2i | 0.420537 | − | 1.29428i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 8446.87 | + | 5334.50i | 0.441811 | + | 0.279020i | ||||
\(716\) | 5759.52 | − | 17726.0i | 0.300619 | − | 0.925211i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 188.358 | 0.00979031 | ||||||||
\(719\) | 7033.06 | + | 5109.81i | 0.364797 | + | 0.265040i | 0.755050 | − | 0.655667i | \(-0.227613\pi\) |
−0.390253 | + | 0.920707i | \(0.627613\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1689.12 | + | 1227.22i | −0.0872484 | + | 0.0633897i | ||||
\(722\) | 2836.44 | − | 2060.79i | 0.146207 | − | 0.106225i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 25176.4 | 1.29237 | ||||||||
\(725\) | −4415.24 | − | 2402.05i | −0.226177 | − | 0.123048i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4671.47 | + | 14377.3i | 0.238315 | + | 0.733459i | 0.996664 | + | 0.0816103i | \(0.0260063\pi\) |
−0.758349 | + | 0.651849i | \(0.773994\pi\) | |||||||
\(728\) | −276.452 | + | 200.854i | −0.0140742 | + | 0.0102255i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 5632.11 | − | 366.792i | 0.285553 | − | 0.0185967i | ||||
\(731\) | 10671.2 | + | 7753.11i | 0.539931 | + | 0.392283i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 27204.2 | + | 19765.0i | 1.37082 | + | 0.995959i | 0.997673 | + | 0.0681872i | \(0.0217215\pi\) |
0.373148 | + | 0.927772i | \(0.378278\pi\) | |||||||
\(734\) | −1035.22 | + | 3186.06i | −0.0520579 | + | 0.160218i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3747.51 | − | 11533.7i | −0.187684 | − | 0.577631i | ||||
\(737\) | 12749.3 | − | 39238.4i | 0.637215 | − | 1.96115i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2946.68 | − | 9068.95i | −0.146678 | − | 0.451430i | 0.850545 | − | 0.525903i | \(-0.176273\pi\) |
−0.997223 | + | 0.0744731i | \(0.976273\pi\) | |||||||
\(740\) | 1752.61 | − | 6888.90i | 0.0870640 | − | 0.342218i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 308.024 | + | 223.793i | 0.0152398 | + | 0.0110724i | ||||
\(743\) | −39282.1 | −1.93960 | −0.969798 | − | 0.243909i | \(-0.921570\pi\) | ||||
−0.969798 | + | 0.243909i | \(0.921570\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 7658.96 | + | 4836.90i | 0.376648 | + | 0.237866i | ||||
\(746\) | −1334.74 | + | 969.744i | −0.0655070 | + | 0.0475936i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 4541.46 | + | 13977.2i | 0.221995 | + | 0.683230i | ||||
\(749\) | 1410.98 | 0.0688333 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15625.4 | 0.759226 | 0.379613 | − | 0.925145i | \(-0.376057\pi\) | ||||
0.379613 | + | 0.925145i | \(0.376057\pi\) | |||||||
\(752\) | −7973.73 | − | 24540.6i | −0.386665 | − | 1.19003i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −264.960 | + | 192.504i | −0.0127974 | + | 0.00929788i | ||||
\(755\) | −32586.4 | − | 20579.5i | −1.57078 | − | 0.992006i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −28389.3 | −1.36305 | −0.681524 | − | 0.731796i | \(-0.738682\pi\) | ||||
−0.681524 | + | 0.731796i | \(0.738682\pi\) | |||||||
\(758\) | 5156.10 | + | 3746.13i | 0.247069 | + | 0.179506i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 683.070 | − | 2684.91i | 0.0326021 | − | 0.128147i | ||||
\(761\) | 2807.36 | + | 8640.18i | 0.133728 | + | 0.411572i | 0.995390 | − | 0.0959105i | \(-0.0305763\pi\) |
−0.861662 | + | 0.507482i | \(0.830576\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 48.2922 | − | 148.628i | 0.00229134 | − | 0.00705203i | ||||
\(764\) | 5054.45 | + | 15556.0i | 0.239350 | + | 0.736644i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −127.244 | + | 391.617i | −0.00600198 | + | 0.0184722i | ||||
\(767\) | 3560.23 | + | 2586.66i | 0.167604 | + | 0.121772i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10201.3 | − | 7411.64i | −0.478370 | − | 0.347556i | 0.322324 | − | 0.946629i | \(-0.395536\pi\) |
−0.800694 | + | 0.599073i | \(0.795536\pi\) | |||||||
\(770\) | 1082.03 | − | 70.4677i | 0.0506413 | − | 0.00329803i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −24003.0 | + | 17439.2i | −1.11903 | + | 0.813020i | ||||
\(773\) | 3920.38 | + | 12065.7i | 0.182415 | + | 0.561414i | 0.999894 | − | 0.0145432i | \(-0.00462941\pi\) |
−0.817480 | + | 0.575957i | \(0.804629\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5099.61 | + | 27387.7i | −0.236366 | + | 1.26941i | ||||
\(776\) | −13847.4 | −0.640582 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3518.40 | − | 2556.27i | 0.162135 | − | 0.117798i | ||||
\(779\) | 3208.16 | − | 2330.87i | 0.147554 | − | 0.107204i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −46308.6 | − | 33645.1i | −2.12170 | − | 1.54151i | ||||
\(782\) | 2030.45 | 0.0928499 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5830.73 | + | 17945.1i | −0.265613 | + | 0.817472i |