Newspace parameters
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(8.67328077084\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 146.17 | ||
Character | \(\chi\) | \(=\) | 147.146 |
Dual form | 147.4.c.b.146.7 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.86969i | 1.01459i | 0.861773 | + | 0.507294i | \(0.169354\pi\) | ||||
−0.861773 | + | 0.507294i | \(0.830646\pi\) | |||||||
\(3\) | −2.76278 | − | 4.40080i | −0.531698 | − | 0.846934i | ||||
\(4\) | −0.235115 | −0.0293894 | ||||||||
\(5\) | −5.57059 | −0.498249 | −0.249124 | − | 0.968471i | \(-0.580143\pi\) | ||||
−0.249124 | + | 0.968471i | \(0.580143\pi\) | |||||||
\(6\) | 12.6289 | − | 7.92832i | 0.859290 | − | 0.539454i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 22.2828i | 0.984770i | ||||||||
\(9\) | −11.7341 | + | 24.3169i | −0.434596 | + | 0.900626i | ||||
\(10\) | − | 15.9859i | − | 0.505517i | ||||||
\(11\) | − | 42.7198i | − | 1.17095i | −0.810689 | − | 0.585477i | \(-0.800907\pi\) | ||
0.810689 | − | 0.585477i | \(-0.199093\pi\) | |||||||
\(12\) | 0.649571 | + | 1.03469i | 0.0156263 | + | 0.0248909i | ||||
\(13\) | − | 69.8357i | − | 1.48992i | −0.667110 | − | 0.744959i | \(-0.732469\pi\) | ||
0.667110 | − | 0.744959i | \(-0.267531\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 15.3903 | + | 24.5151i | 0.264918 | + | 0.421984i | ||||
\(16\) | −65.8256 | −1.02853 | ||||||||
\(17\) | −67.5034 | −0.963058 | −0.481529 | − | 0.876430i | \(-0.659918\pi\) | ||||
−0.481529 | + | 0.876430i | \(0.659918\pi\) | |||||||
\(18\) | −69.7819 | − | 33.6732i | −0.913764 | − | 0.440936i | ||||
\(19\) | − | 79.3413i | − | 0.958008i | −0.877813 | − | 0.479004i | \(-0.840998\pi\) | ||
0.877813 | − | 0.479004i | \(-0.159002\pi\) | |||||||
\(20\) | 1.30973 | 0.0146432 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 122.593 | 1.18804 | ||||||||
\(23\) | − | 208.831i | − | 1.89323i | −0.322365 | − | 0.946615i | \(-0.604478\pi\) | ||
0.322365 | − | 0.946615i | \(-0.395522\pi\) | |||||||
\(24\) | 98.0622 | − | 61.5625i | 0.834036 | − | 0.523600i | ||||
\(25\) | −93.9685 | −0.751748 | ||||||||
\(26\) | 200.407 | 1.51165 | ||||||||
\(27\) | 139.432 | − | 15.5429i | 0.993844 | − | 0.110787i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.72587i | 0.0366644i | 0.999832 | + | 0.0183322i | \(0.00583564\pi\) | ||||
−0.999832 | + | 0.0183322i | \(0.994164\pi\) | |||||||
\(30\) | −70.3506 | + | 44.1655i | −0.428140 | + | 0.268782i | ||||
\(31\) | 193.293i | 1.11989i | 0.828531 | + | 0.559944i | \(0.189177\pi\) | ||||
−0.828531 | + | 0.559944i | \(0.810823\pi\) | |||||||
\(32\) | − | 10.6367i | − | 0.0587599i | ||||||
\(33\) | −188.001 | + | 118.025i | −0.991722 | + | 0.622594i | ||||
\(34\) | − | 193.714i | − | 0.977108i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.75886 | − | 5.71727i | 0.0127725 | − | 0.0264688i | ||||
\(37\) | 163.609 | 0.726949 | 0.363474 | − | 0.931604i | \(-0.381590\pi\) | ||||
0.363474 | + | 0.931604i | \(0.381590\pi\) | |||||||
\(38\) | 227.685 | 0.971983 | ||||||||
\(39\) | −307.333 | + | 192.941i | −1.26186 | + | 0.792186i | ||||
\(40\) | − | 124.128i | − | 0.490661i | ||||||
\(41\) | −58.1164 | −0.221372 | −0.110686 | − | 0.993855i | \(-0.535305\pi\) | ||||
−0.110686 | + | 0.993855i | \(0.535305\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 58.9508 | 0.209068 | 0.104534 | − | 0.994521i | \(-0.466665\pi\) | ||||
0.104534 | + | 0.994521i | \(0.466665\pi\) | |||||||
\(44\) | 10.0441i | 0.0344136i | ||||||||
\(45\) | 65.3658 | − | 135.460i | 0.216537 | − | 0.448736i | ||||
\(46\) | 599.280 | 1.92085 | ||||||||
\(47\) | −148.572 | −0.461094 | −0.230547 | − | 0.973061i | \(-0.574052\pi\) | ||||
−0.230547 | + | 0.973061i | \(0.574052\pi\) | |||||||
\(48\) | 181.862 | + | 289.685i | 0.546865 | + | 0.871094i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | − | 269.660i | − | 0.762715i | ||||||
\(51\) | 186.497 | + | 297.069i | 0.512056 | + | 0.815647i | ||||
\(52\) | 16.4194i | 0.0437878i | ||||||||
\(53\) | − | 100.642i | − | 0.260834i | −0.991459 | − | 0.130417i | \(-0.958368\pi\) | ||
0.991459 | − | 0.130417i | \(-0.0416316\pi\) | |||||||
\(54\) | 44.6034 | + | 400.128i | 0.112403 | + | 1.00834i | ||||
\(55\) | 237.975i | 0.583427i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −349.165 | + | 219.203i | −0.811370 | + | 0.509370i | ||||
\(58\) | −16.4315 | −0.0371993 | ||||||||
\(59\) | −738.690 | −1.62999 | −0.814994 | − | 0.579469i | \(-0.803260\pi\) | ||||
−0.814994 | + | 0.579469i | \(0.803260\pi\) | |||||||
\(60\) | −3.61850 | − | 5.76386i | −0.00778577 | − | 0.0124019i | ||||
\(61\) | − | 356.946i | − | 0.749218i | −0.927183 | − | 0.374609i | \(-0.877777\pi\) | ||
0.927183 | − | 0.374609i | \(-0.122223\pi\) | |||||||
\(62\) | −554.692 | −1.13622 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −496.081 | −0.968909 | ||||||||
\(65\) | 389.026i | 0.742350i | ||||||||
\(66\) | −338.696 | − | 539.505i | −0.631676 | − | 1.00619i | ||||
\(67\) | 721.159 | 1.31498 | 0.657489 | − | 0.753464i | \(-0.271619\pi\) | ||||
0.657489 | + | 0.753464i | \(0.271619\pi\) | |||||||
\(68\) | 15.8711 | 0.0283037 | ||||||||
\(69\) | −919.024 | + | 576.955i | −1.60344 | + | 1.00663i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 308.915i | 0.516359i | 0.966097 | + | 0.258180i | \(0.0831226\pi\) | ||||
−0.966097 | + | 0.258180i | \(0.916877\pi\) | |||||||
\(72\) | −541.849 | − | 261.468i | −0.886909 | − | 0.427977i | ||||
\(73\) | 827.134i | 1.32615i | 0.748555 | + | 0.663073i | \(0.230748\pi\) | ||||
−0.748555 | + | 0.663073i | \(0.769252\pi\) | |||||||
\(74\) | 469.506i | 0.737554i | ||||||||
\(75\) | 259.614 | + | 413.537i | 0.399703 | + | 0.636681i | ||||
\(76\) | 18.6543i | 0.0281552i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −553.680 | − | 881.950i | −0.803743 | − | 1.28027i | ||||
\(79\) | 467.203 | 0.665373 | 0.332686 | − | 0.943038i | \(-0.392045\pi\) | ||||
0.332686 | + | 0.943038i | \(0.392045\pi\) | |||||||
\(80\) | 366.688 | 0.512462 | ||||||||
\(81\) | −453.623 | − | 570.673i | −0.622253 | − | 0.782816i | ||||
\(82\) | − | 166.776i | − | 0.224602i | ||||||
\(83\) | 274.704 | 0.363285 | 0.181643 | − | 0.983365i | \(-0.441859\pi\) | ||||
0.181643 | + | 0.983365i | \(0.441859\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 376.034 | 0.479843 | ||||||||
\(86\) | 169.170i | 0.212118i | ||||||||
\(87\) | 25.1984 | − | 15.8193i | 0.0310523 | − | 0.0194944i | ||||
\(88\) | 951.917 | 1.15312 | ||||||||
\(89\) | −541.074 | −0.644424 | −0.322212 | − | 0.946668i | \(-0.604426\pi\) | ||||
−0.322212 | + | 0.946668i | \(0.604426\pi\) | |||||||
\(90\) | 388.727 | + | 187.579i | 0.455282 | + | 0.219696i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 49.0993i | 0.0556409i | ||||||||
\(93\) | 850.645 | − | 534.027i | 0.948471 | − | 0.595441i | ||||
\(94\) | − | 426.355i | − | 0.467821i | ||||||
\(95\) | 441.978i | 0.477326i | ||||||||
\(96\) | −46.8099 | + | 29.3868i | −0.0497658 | + | 0.0312425i | ||||
\(97\) | − | 41.4658i | − | 0.0434042i | −0.999764 | − | 0.0217021i | \(-0.993091\pi\) | ||
0.999764 | − | 0.0217021i | \(-0.00690854\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1038.81 | + | 501.277i | 1.05459 | + | 0.508892i | ||||
\(100\) | 22.0934 | 0.0220934 | ||||||||
\(101\) | 1263.68 | 1.24496 | 0.622479 | − | 0.782637i | \(-0.286126\pi\) | ||||
0.622479 | + | 0.782637i | \(0.286126\pi\) | |||||||
\(102\) | −852.496 | + | 535.189i | −0.827546 | + | 0.519526i | ||||
\(103\) | − | 309.423i | − | 0.296003i | −0.988987 | − | 0.148001i | \(-0.952716\pi\) | ||
0.988987 | − | 0.148001i | \(-0.0472840\pi\) | |||||||
\(104\) | 1556.14 | 1.46723 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 288.810 | 0.264639 | ||||||||
\(107\) | 895.715i | 0.809272i | 0.914478 | + | 0.404636i | \(0.132602\pi\) | ||||
−0.914478 | + | 0.404636i | \(0.867398\pi\) | |||||||
\(108\) | −32.7827 | + | 3.65438i | −0.0292085 | + | 0.00325595i | ||||
\(109\) | −1590.61 | −1.39773 | −0.698865 | − | 0.715254i | \(-0.746311\pi\) | ||||
−0.698865 | + | 0.715254i | \(0.746311\pi\) | |||||||
\(110\) | −682.913 | −0.591938 | ||||||||
\(111\) | −452.015 | − | 720.009i | −0.386517 | − | 0.615678i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 859.839i | − | 0.715812i | −0.933758 | − | 0.357906i | \(-0.883491\pi\) | ||
0.933758 | − | 0.357906i | \(-0.116509\pi\) | |||||||
\(114\) | −629.044 | − | 1002.00i | −0.516801 | − | 0.823206i | ||||
\(115\) | 1163.31i | 0.943300i | ||||||||
\(116\) | − | 1.34624i | − | 0.00107754i | ||||||
\(117\) | 1698.19 | + | 819.458i | 1.34186 | + | 0.647512i | ||||
\(118\) | − | 2119.81i | − | 1.65377i | ||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −546.264 | + | 342.940i | −0.415557 | + | 0.260883i | ||||
\(121\) | −493.980 | −0.371135 | ||||||||
\(122\) | 1024.32 | 0.760147 | ||||||||
\(123\) | 160.563 | + | 255.759i | 0.117703 | + | 0.187488i | ||||
\(124\) | − | 45.4462i | − | 0.0329128i | ||||||
\(125\) | 1219.78 | 0.872807 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1382.66 | 0.966075 | 0.483038 | − | 0.875600i | \(-0.339533\pi\) | ||||
0.483038 | + | 0.875600i | \(0.339533\pi\) | |||||||
\(128\) | − | 1508.69i | − | 1.04180i | ||||||
\(129\) | −162.868 | − | 259.431i | −0.111161 | − | 0.177067i | ||||
\(130\) | −1116.38 | −0.753180 | ||||||||
\(131\) | 879.895 | 0.586846 | 0.293423 | − | 0.955983i | \(-0.405206\pi\) | ||||
0.293423 | + | 0.955983i | \(0.405206\pi\) | |||||||
\(132\) | 44.2019 | − | 27.7496i | 0.0291461 | − | 0.0182976i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 2069.50i | 1.33416i | ||||||||
\(135\) | −776.721 | + | 86.5833i | −0.495182 | + | 0.0551993i | ||||
\(136\) | − | 1504.17i | − | 0.948391i | ||||||
\(137\) | − | 3037.41i | − | 1.89419i | −0.320958 | − | 0.947093i | \(-0.604005\pi\) | ||
0.320958 | − | 0.947093i | \(-0.395995\pi\) | |||||||
\(138\) | −1655.68 | − | 2637.31i | −1.02131 | − | 1.62683i | ||||
\(139\) | 652.162i | 0.397954i | 0.980004 | + | 0.198977i | \(0.0637620\pi\) | ||||
−0.980004 | + | 0.198977i | \(0.936238\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 410.472 | + | 653.835i | 0.245163 | + | 0.390517i | ||||
\(142\) | −886.491 | −0.523892 | ||||||||
\(143\) | −2983.37 | −1.74463 | ||||||||
\(144\) | 772.403 | − | 1600.68i | 0.446993 | − | 0.926317i | ||||
\(145\) | − | 31.8965i | − | 0.0182680i | ||||||
\(146\) | −2373.62 | −1.34549 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −38.4669 | −0.0213646 | ||||||||
\(149\) | 395.474i | 0.217440i | 0.994072 | + | 0.108720i | \(0.0346752\pi\) | ||||
−0.994072 | + | 0.108720i | \(0.965325\pi\) | |||||||
\(150\) | −1186.72 | + | 745.013i | −0.645969 | + | 0.405534i | ||||
\(151\) | −705.128 | −0.380017 | −0.190008 | − | 0.981782i | \(-0.560852\pi\) | ||||
−0.190008 | + | 0.981782i | \(0.560852\pi\) | |||||||
\(152\) | 1767.95 | 0.943417 | ||||||||
\(153\) | 792.091 | − | 1641.47i | 0.418541 | − | 0.867355i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | − | 1076.76i | − | 0.557983i | ||||||
\(156\) | 72.2586 | − | 45.3633i | 0.0370854 | − | 0.0232819i | ||||
\(157\) | − | 1597.79i | − | 0.812214i | −0.913825 | − | 0.406107i | \(-0.866886\pi\) | ||
0.913825 | − | 0.406107i | \(-0.133114\pi\) | |||||||
\(158\) | 1340.73i | 0.675079i | ||||||||
\(159\) | −442.903 | + | 278.051i | −0.220909 | + | 0.138685i | ||||
\(160\) | 59.2526i | 0.0292771i | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 1637.65 | − | 1301.76i | 0.794236 | − | 0.631331i | ||||
\(163\) | −2736.42 | −1.31493 | −0.657463 | − | 0.753487i | \(-0.728370\pi\) | ||||
−0.657463 | + | 0.753487i | \(0.728370\pi\) | |||||||
\(164\) | 13.6640 | 0.00650599 | ||||||||
\(165\) | 1047.28 | − | 657.472i | 0.494124 | − | 0.310207i | ||||
\(166\) | 788.315i | 0.368585i | ||||||||
\(167\) | 24.6732 | 0.0114328 | 0.00571638 | − | 0.999984i | \(-0.498180\pi\) | ||||
0.00571638 | + | 0.999984i | \(0.498180\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2680.03 | −1.21986 | ||||||||
\(170\) | 1079.10i | 0.486843i | ||||||||
\(171\) | 1929.33 | + | 930.997i | 0.862806 | + | 0.416346i | ||||
\(172\) | −13.8602 | −0.00614437 | ||||||||
\(173\) | −1403.61 | −0.616847 | −0.308424 | − | 0.951249i | \(-0.599801\pi\) | ||||
−0.308424 | + | 0.951249i | \(0.599801\pi\) | |||||||
\(174\) | 45.3965 | + | 72.3116i | 0.0197787 | + | 0.0315053i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2812.06i | 1.20436i | ||||||||
\(177\) | 2040.84 | + | 3250.83i | 0.866661 | + | 1.38049i | ||||
\(178\) | − | 1552.71i | − | 0.653825i | ||||||
\(179\) | 1714.52i | 0.715919i | 0.933737 | + | 0.357959i | \(0.116527\pi\) | ||||
−0.933737 | + | 0.357959i | \(0.883473\pi\) | |||||||
\(180\) | −15.3685 | + | 31.8486i | −0.00636388 | + | 0.0131881i | ||||
\(181\) | 2046.41i | 0.840377i | 0.907437 | + | 0.420189i | \(0.138036\pi\) | ||||
−0.907437 | + | 0.420189i | \(0.861964\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1570.85 | + | 986.164i | −0.634538 | + | 0.398357i | ||||
\(184\) | 4653.34 | 1.86440 | ||||||||
\(185\) | −911.397 | −0.362201 | ||||||||
\(186\) | 1532.49 | + | 2441.09i | 0.604128 | + | 0.962307i | ||||
\(187\) | 2883.73i | 1.12770i | ||||||||
\(188\) | 34.9315 | 0.0135513 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1268.34 | −0.484290 | ||||||||
\(191\) | − | 3373.11i | − | 1.27785i | −0.769268 | − | 0.638926i | \(-0.779379\pi\) | ||
0.769268 | − | 0.638926i | \(-0.220621\pi\) | |||||||
\(192\) | 1370.56 | + | 2183.15i | 0.515166 | + | 0.820602i | ||||
\(193\) | −424.928 | −0.158482 | −0.0792409 | − | 0.996855i | \(-0.525250\pi\) | ||||
−0.0792409 | + | 0.996855i | \(0.525250\pi\) | |||||||
\(194\) | 118.994 | 0.0440374 | ||||||||
\(195\) | 1712.03 | − | 1074.79i | 0.628722 | − | 0.394706i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 4420.59i | − | 1.59875i | −0.600832 | − | 0.799375i | \(-0.705164\pi\) | ||
0.600832 | − | 0.799375i | \(-0.294836\pi\) | |||||||
\(198\) | −1438.51 | + | 2981.07i | −0.516316 | + | 1.06998i | ||||
\(199\) | 1577.80i | 0.562046i | 0.959701 | + | 0.281023i | \(0.0906737\pi\) | ||||
−0.959701 | + | 0.281023i | \(0.909326\pi\) | |||||||
\(200\) | − | 2093.88i | − | 0.740299i | ||||||
\(201\) | −1992.40 | − | 3173.67i | −0.699171 | − | 1.11370i | ||||
\(202\) | 3626.36i | 1.26312i | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −43.8483 | − | 69.8454i | −0.0150490 | − | 0.0239714i | ||||
\(205\) | 323.743 | 0.110298 | ||||||||
\(206\) | 887.946 | 0.300321 | ||||||||
\(207\) | 5078.13 | + | 2450.44i | 1.70509 | + | 0.822790i | ||||
\(208\) | 4596.98i | 1.53242i | ||||||||
\(209\) | −3389.44 | −1.12178 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 911.064 | 0.297252 | 0.148626 | − | 0.988893i | \(-0.452515\pi\) | ||||
0.148626 | + | 0.988893i | \(0.452515\pi\) | |||||||
\(212\) | 23.6623i | 0.00766574i | ||||||||
\(213\) | 1359.47 | − | 853.465i | 0.437322 | − | 0.274547i | ||||
\(214\) | −2570.42 | −0.821078 | ||||||||
\(215\) | −328.391 | −0.104168 | ||||||||
\(216\) | 346.340 | + | 3106.95i | 0.109099 | + | 0.978708i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | − | 4564.55i | − | 1.41812i | ||||||
\(219\) | 3640.05 | − | 2285.19i | 1.12316 | − | 0.705109i | ||||
\(220\) | − | 55.9514i | − | 0.0171466i | ||||||
\(221\) | 4714.15i | 1.43488i | ||||||||
\(222\) | 2066.20 | − | 1297.14i | 0.624659 | − | 0.392155i | ||||
\(223\) | 3070.23i | 0.921964i | 0.887410 | + | 0.460982i | \(0.152503\pi\) | ||||
−0.887410 | + | 0.460982i | \(0.847497\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1102.63 | − | 2285.02i | 0.326706 | − | 0.677044i | ||||
\(226\) | 2467.47 | 0.726255 | ||||||||
\(227\) | 3352.67 | 0.980284 | 0.490142 | − | 0.871643i | \(-0.336945\pi\) | ||||
0.490142 | + | 0.871643i | \(0.336945\pi\) | |||||||
\(228\) | 82.0940 | − | 51.5378i | 0.0238456 | − | 0.0149701i | ||||
\(229\) | − | 4353.50i | − | 1.25628i | −0.778102 | − | 0.628138i | \(-0.783817\pi\) | ||
0.778102 | − | 0.628138i | \(-0.216183\pi\) | |||||||
\(230\) | −3338.35 | −0.957061 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −127.588 | −0.0361060 | ||||||||
\(233\) | − | 3683.52i | − | 1.03569i | −0.855475 | − | 0.517844i | \(-0.826735\pi\) | ||
0.855475 | − | 0.517844i | \(-0.173265\pi\) | |||||||
\(234\) | −2351.59 | + | 4873.27i | −0.656958 | + | 1.36143i | ||||
\(235\) | 827.633 | 0.229740 | ||||||||
\(236\) | 173.677 | 0.0479043 | ||||||||
\(237\) | −1290.78 | − | 2056.07i | −0.353777 | − | 0.563527i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4537.46i | 1.22805i | 0.789287 | + | 0.614025i | \(0.210451\pi\) | ||||
−0.789287 | + | 0.614025i | \(0.789549\pi\) | |||||||
\(240\) | −1013.08 | − | 1613.72i | −0.272475 | − | 0.434021i | ||||
\(241\) | − | 2221.10i | − | 0.593666i | −0.954929 | − | 0.296833i | \(-0.904069\pi\) | ||
0.954929 | − | 0.296833i | \(-0.0959305\pi\) | |||||||
\(242\) | − | 1417.57i | − | 0.376549i | ||||||
\(243\) | −1258.16 | + | 3572.95i | −0.332143 | + | 0.943229i | ||||
\(244\) | 83.9234i | 0.0220190i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −733.948 | + | 460.766i | −0.190223 | + | 0.119420i | ||||
\(247\) | −5540.86 | −1.42735 | ||||||||
\(248\) | −4307.12 | −1.10283 | ||||||||
\(249\) | −758.947 | − | 1208.92i | −0.193158 | − | 0.307679i | ||||
\(250\) | 3500.40i | 0.885539i | ||||||||
\(251\) | 652.142 | 0.163995 | 0.0819976 | − | 0.996633i | \(-0.473870\pi\) | ||||
0.0819976 | + | 0.996633i | \(0.473870\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8921.22 | −2.21689 | ||||||||
\(254\) | 3967.82i | 0.980169i | ||||||||
\(255\) | −1038.90 | − | 1654.85i | −0.255131 | − | 0.406395i | ||||
\(256\) | 360.828 | 0.0880927 | ||||||||
\(257\) | 6873.84 | 1.66840 | 0.834199 | − | 0.551464i | \(-0.185931\pi\) | ||||
0.834199 | + | 0.551464i | \(0.185931\pi\) | |||||||
\(258\) | 744.485 | − | 467.381i | 0.179650 | − | 0.112782i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | − | 91.4659i | − | 0.0218172i | ||||||
\(261\) | −139.235 | − | 67.1878i | −0.0330209 | − | 0.0159342i | ||||
\(262\) | 2525.03i | 0.595407i | ||||||||
\(263\) | − | 3285.60i | − | 0.770337i | −0.922846 | − | 0.385169i | \(-0.874143\pi\) | ||
0.922846 | − | 0.385169i | \(-0.125857\pi\) | |||||||
\(264\) | −2629.94 | − | 4189.20i | −0.613112 | − | 0.976618i | ||||
\(265\) | 560.633i | 0.129960i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1494.87 | + | 2381.16i | 0.342638 | + | 0.545785i | ||||
\(268\) | −169.555 | −0.0386464 | ||||||||
\(269\) | −1257.58 | −0.285040 | −0.142520 | − | 0.989792i | \(-0.545521\pi\) | ||||
−0.142520 | + | 0.989792i | \(0.545521\pi\) | |||||||
\(270\) | −248.467 | − | 2228.95i | −0.0560046 | − | 0.502406i | ||||
\(271\) | − | 370.755i | − | 0.0831061i | −0.999136 | − | 0.0415530i | \(-0.986769\pi\) | ||
0.999136 | − | 0.0415530i | \(-0.0132306\pi\) | |||||||
\(272\) | 4443.46 | 0.990530 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 8716.43 | 1.92182 | ||||||||
\(275\) | 4014.31i | 0.880263i | ||||||||
\(276\) | 216.076 | − | 135.651i | 0.0471242 | − | 0.0295841i | ||||
\(277\) | −1540.16 | −0.334078 | −0.167039 | − | 0.985950i | \(-0.553421\pi\) | ||||
−0.167039 | + | 0.985950i | \(0.553421\pi\) | |||||||
\(278\) | −1871.50 | −0.403760 | ||||||||
\(279\) | −4700.29 | − | 2268.12i | −1.00860 | − | 0.486698i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3782.78i | 0.803066i | 0.915845 | + | 0.401533i | \(0.131522\pi\) | ||||
−0.915845 | + | 0.401533i | \(0.868478\pi\) | |||||||
\(282\) | −1876.30 | + | 1177.93i | −0.396214 | + | 0.248739i | ||||
\(283\) | − | 9263.07i | − | 1.94570i | −0.231441 | − | 0.972849i | \(-0.574344\pi\) | ||
0.231441 | − | 0.972849i | \(-0.425656\pi\) | |||||||
\(284\) | − | 72.6306i | − | 0.0151755i | ||||||
\(285\) | 1945.06 | − | 1221.09i | 0.404264 | − | 0.253793i | ||||
\(286\) | − | 8561.34i | − | 1.77008i | ||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 258.651 | + | 124.812i | 0.0529207 | + | 0.0255368i | ||||
\(289\) | −356.285 | −0.0725187 | ||||||||
\(290\) | 91.5330 | 0.0185345 | ||||||||
\(291\) | −182.482 | + | 114.561i | −0.0367605 | + | 0.0230779i | ||||
\(292\) | − | 194.472i | − | 0.0389746i | ||||||
\(293\) | 7316.39 | 1.45880 | 0.729399 | − | 0.684089i | \(-0.239800\pi\) | ||||
0.729399 | + | 0.684089i | \(0.239800\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4114.94 | 0.812140 | ||||||||
\(296\) | 3645.66i | 0.715877i | ||||||||
\(297\) | −663.991 | − | 5956.53i | −0.129726 | − | 1.16375i | ||||
\(298\) | −1134.89 | −0.220612 | ||||||||
\(299\) | −14583.9 | −2.82076 | ||||||||
\(300\) | −61.0393 | − | 97.2287i | −0.0117470 | − | 0.0187117i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | − | 2023.50i | − | 0.385561i | ||||||
\(303\) | −3491.27 | − | 5561.20i | −0.661941 | − | 1.05440i | ||||
\(304\) | 5222.69i | 0.985335i | ||||||||
\(305\) | 1988.40i | 0.373297i | ||||||||
\(306\) | 4710.52 | + | 2273.05i | 0.880008 | + | 0.424647i | ||||
\(307\) | − | 4347.69i | − | 0.808260i | −0.914701 | − | 0.404130i | \(-0.867574\pi\) | ||
0.914701 | − | 0.404130i | \(-0.132426\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1361.71 | + | 854.867i | −0.250695 | + | 0.157384i | ||||
\(310\) | 3089.96 | 0.566123 | ||||||||
\(311\) | 4550.35 | 0.829667 | 0.414833 | − | 0.909897i | \(-0.363840\pi\) | ||||
0.414833 | + | 0.909897i | \(0.363840\pi\) | |||||||
\(312\) | −4299.26 | − | 6848.24i | −0.780121 | − | 1.24265i | ||||
\(313\) | − | 8447.73i | − | 1.52554i | −0.646670 | − | 0.762770i | \(-0.723839\pi\) | ||
0.646670 | − | 0.762770i | \(-0.276161\pi\) | |||||||
\(314\) | 4585.17 | 0.824063 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −109.846 | −0.0195549 | ||||||||
\(317\) | 3333.54i | 0.590632i | 0.955400 | + | 0.295316i | \(0.0954249\pi\) | ||||
−0.955400 | + | 0.295316i | \(0.904575\pi\) | |||||||
\(318\) | −797.919 | − | 1271.00i | −0.140708 | − | 0.224132i | ||||
\(319\) | 244.608 | 0.0429323 | ||||||||
\(320\) | 2763.47 | 0.482758 | ||||||||
\(321\) | 3941.86 | − | 2474.67i | 0.685400 | − | 0.430288i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 5355.81i | 0.922617i | ||||||||
\(324\) | 106.654 | + | 134.174i | 0.0182876 | + | 0.0230065i | ||||
\(325\) | 6562.36i | 1.12004i | ||||||||
\(326\) | − | 7852.67i | − | 1.33411i | ||||||
\(327\) | 4394.50 | + | 6999.94i | 0.743169 | + | 1.18379i | ||||
\(328\) | − | 1295.00i | − | 0.218001i | ||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 1886.74 | + | 3005.36i | 0.314732 | + | 0.501333i | ||||
\(331\) | −7496.89 | −1.24491 | −0.622457 | − | 0.782654i | \(-0.713865\pi\) | ||||
−0.622457 | + | 0.782654i | \(0.713865\pi\) | |||||||
\(332\) | −64.5870 | −0.0106767 | ||||||||
\(333\) | −1919.80 | + | 3978.46i | −0.315929 | + | 0.654709i | ||||
\(334\) | 70.8045i | 0.0115996i | ||||||||
\(335\) | −4017.28 | −0.655186 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5107.78 | 0.825633 | 0.412817 | − | 0.910814i | \(-0.364545\pi\) | ||||
0.412817 | + | 0.910814i | \(0.364545\pi\) | |||||||
\(338\) | − | 7690.84i | − | 1.23765i | ||||||
\(339\) | −3783.98 | + | 2375.55i | −0.606246 | + | 0.380596i | ||||
\(340\) | −88.4113 | −0.0141023 | ||||||||
\(341\) | 8257.45 | 1.31134 | ||||||||
\(342\) | −2671.67 | + | 5536.59i | −0.422420 | + | 0.875393i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 1313.59i | 0.205884i | ||||||||
\(345\) | 5119.51 | − | 3213.98i | 0.798913 | − | 0.501550i | ||||
\(346\) | − | 4027.93i | − | 0.625846i | ||||||
\(347\) | 2966.35i | 0.458910i | 0.973319 | + | 0.229455i | \(0.0736944\pi\) | ||||
−0.973319 | + | 0.229455i | \(0.926306\pi\) | |||||||
\(348\) | −5.92452 | + | 3.71936i | −0.000912608 | + | 0.000572927i | ||||
\(349\) | − | 2869.90i | − | 0.440178i | −0.975480 | − | 0.220089i | \(-0.929365\pi\) | ||
0.975480 | − | 0.220089i | \(-0.0706348\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1085.45 | − | 9737.37i | −0.165063 | − | 1.48075i | ||||
\(352\) | −454.397 | −0.0688052 | ||||||||
\(353\) | 12653.2 | 1.90783 | 0.953913 | − | 0.300083i | \(-0.0970143\pi\) | ||||
0.953913 | + | 0.300083i | \(0.0970143\pi\) | |||||||
\(354\) | −9328.87 | + | 5856.58i | −1.40063 | + | 0.879304i | ||||
\(355\) | − | 1720.84i | − | 0.257275i | ||||||
\(356\) | 127.215 | 0.0189392 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4920.15 | −0.726363 | ||||||||
\(359\) | − | 6591.26i | − | 0.969006i | −0.874790 | − | 0.484503i | \(-0.839000\pi\) | ||
0.874790 | − | 0.484503i | \(-0.161000\pi\) | |||||||
\(360\) | 3018.42 | + | 1456.53i | 0.441902 | + | 0.213239i | ||||
\(361\) | 563.957 | 0.0822214 | ||||||||
\(362\) | −5872.55 | −0.852637 | ||||||||
\(363\) | 1364.76 | + | 2173.91i | 0.197331 | + | 0.314327i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | − | 4607.62i | − | 0.660751i | ||||||
\(366\) | −2829.98 | − | 4507.85i | −0.404168 | − | 0.643795i | ||||
\(367\) | 10286.0i | 1.46301i | 0.681836 | + | 0.731505i | \(0.261182\pi\) | ||||
−0.681836 | + | 0.731505i | \(0.738818\pi\) | |||||||
\(368\) | 13746.4i | 1.94724i | ||||||||
\(369\) | 681.943 | − | 1413.21i | 0.0962074 | − | 0.199373i | ||||
\(370\) | − | 2615.43i | − | 0.367485i | ||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −199.999 | + | 125.558i | −0.0278750 | + | 0.0174996i | ||||
\(373\) | 4411.01 | 0.612314 | 0.306157 | − | 0.951981i | \(-0.400957\pi\) | ||||
0.306157 | + | 0.951981i | \(0.400957\pi\) | |||||||
\(374\) | −8275.42 | −1.14415 | ||||||||
\(375\) | −3370.00 | − | 5368.03i | −0.464069 | − | 0.739210i | ||||
\(376\) | − | 3310.60i | − | 0.454072i | ||||||
\(377\) | 399.870 | 0.0546269 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3838.27 | 0.520207 | 0.260103 | − | 0.965581i | \(-0.416243\pi\) | ||||
0.260103 | + | 0.965581i | \(0.416243\pi\) | |||||||
\(380\) | − | 103.916i | − | 0.0140283i | ||||||
\(381\) | −3820.00 | − | 6084.83i | −0.513660 | − | 0.818202i | ||||
\(382\) | 9679.78 | 1.29649 | ||||||||
\(383\) | 2126.75 | 0.283739 | 0.141869 | − | 0.989885i | \(-0.454689\pi\) | ||||
0.141869 | + | 0.989885i | \(0.454689\pi\) | |||||||
\(384\) | −6639.45 | + | 4168.19i | −0.882339 | + | 0.553924i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 1219.41i | − | 0.160794i | ||||||
\(387\) | −691.733 | + | 1433.50i | −0.0908598 | + | 0.188292i | ||||
\(388\) | 9.74922i | 0.00127562i | ||||||||
\(389\) | − | 7218.57i | − | 0.940864i | −0.882436 | − | 0.470432i | \(-0.844098\pi\) | ||
0.882436 | − | 0.470432i | \(-0.155902\pi\) | |||||||
\(390\) | 3084.33 | + | 4912.98i | 0.400464 | + | 0.637894i | ||||
\(391\) | 14096.8i | 1.82329i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2430.96 | − | 3872.24i | −0.312025 | − | 0.497020i | ||||
\(394\) | 12685.7 | 1.62207 | ||||||||
\(395\) | −2602.60 | −0.331521 | ||||||||
\(396\) | −244.240 | − | 117.858i | −0.0309938 | − | 0.0149560i | ||||
\(397\) | 115.449i | 0.0145950i | 0.999973 | + | 0.00729750i | \(0.00232289\pi\) | ||||
−0.999973 | + | 0.00729750i | \(0.997677\pi\) | |||||||
\(398\) | −4527.79 | −0.570245 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 6185.54 | 0.773192 | ||||||||
\(401\) | 8905.68i | 1.10905i | 0.832168 | + | 0.554524i | \(0.187100\pi\) | ||||
−0.832168 | + | 0.554524i | \(0.812900\pi\) | |||||||
\(402\) | 9107.46 | − | 5717.58i | 1.12995 | − | 0.709370i | ||||
\(403\) | 13498.8 | 1.66854 | ||||||||
\(404\) | −297.110 | −0.0365885 | ||||||||
\(405\) | 2526.95 | + | 3178.99i | 0.310037 | + | 0.390037i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | − | 6989.33i | − | 0.851224i | ||||||
\(408\) | −6619.53 | + | 4155.68i | −0.803225 | + | 0.504257i | ||||
\(409\) | 6752.61i | 0.816370i | 0.912899 | + | 0.408185i | \(0.133838\pi\) | ||||
−0.912899 | + | 0.408185i | \(0.866162\pi\) | |||||||
\(410\) | 929.041i | 0.111908i | ||||||||
\(411\) | −13367.0 | + | 8391.70i | −1.60425 | + | 1.00713i | ||||
\(412\) | 72.7499i | 0.00869934i | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −7032.00 | + | 14572.6i | −0.834793 | + | 1.72997i | ||||
\(415\) | −1530.26 | −0.181007 | ||||||||
\(416\) | −742.820 | −0.0875475 | ||||||||
\(417\) | 2870.04 | − | 1801.78i | 0.337041 | − | 0.211591i | ||||
\(418\) | − | 9726.65i | − | 1.13815i | ||||||
\(419\) | −888.062 | −0.103543 | −0.0517717 | − | 0.998659i | \(-0.516487\pi\) | ||||
−0.0517717 | + | 0.998659i | \(0.516487\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14976.0 | −1.73369 | −0.866847 | − | 0.498574i | \(-0.833857\pi\) | ||||
−0.866847 | + | 0.498574i | \(0.833857\pi\) | |||||||
\(422\) | 2614.47i | 0.301589i | ||||||||
\(423\) | 1743.35 | − | 3612.81i | 0.200390 | − | 0.415273i | ||||
\(424\) | 2242.58 | 0.256861 | ||||||||
\(425\) | 6343.20 | 0.723977 | ||||||||
\(426\) | 2449.18 | + | 3901.27i | 0.278552 | + | 0.443702i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | − | 210.596i | − | 0.0237840i | ||||||
\(429\) | 8242.39 | + | 13129.2i | 0.927614 | + | 1.47758i | ||||
\(430\) | − | 942.379i | − | 0.105687i | ||||||
\(431\) | 1095.38i | 0.122419i | 0.998125 | + | 0.0612095i | \(0.0194958\pi\) | ||||
−0.998125 | + | 0.0612095i | \(0.980504\pi\) | |||||||
\(432\) | −9178.23 | + | 1023.12i | −1.02219 | + | 0.113947i | ||||
\(433\) | − | 12688.2i | − | 1.40822i | −0.710093 | − | 0.704108i | \(-0.751347\pi\) | ||
0.710093 | − | 0.704108i | \(-0.248653\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −140.370 | + | 88.1230i | −0.0154718 | + | 0.00971304i | ||||
\(436\) | 373.976 | 0.0410784 | ||||||||
\(437\) | −16568.9 | −1.81373 | ||||||||
\(438\) | 6557.78 | + | 10445.8i | 0.715395 | + | 1.13954i | ||||
\(439\) | 13445.2i | 1.46175i | 0.682513 | + | 0.730873i | \(0.260887\pi\) | ||||
−0.682513 | + | 0.730873i | \(0.739113\pi\) | |||||||
\(440\) | −5302.74 | −0.574541 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −13528.1 | −1.45581 | ||||||||
\(443\) | 2276.97i | 0.244204i | 0.992518 | + | 0.122102i | \(0.0389634\pi\) | ||||
−0.992518 | + | 0.122102i | \(0.961037\pi\) | |||||||
\(444\) | 106.276 | + | 169.285i | 0.0113595 | + | 0.0180944i | ||||
\(445\) | 3014.10 | 0.321083 | ||||||||
\(446\) | −8810.61 | −0.935414 | ||||||||
\(447\) | 1740.40 | − | 1092.61i | 0.184157 | − | 0.115612i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 1685.89i | 0.177198i | 0.996067 | + | 0.0885991i | \(0.0282390\pi\) | ||||
−0.996067 | + | 0.0885991i | \(0.971761\pi\) | |||||||
\(450\) | 6557.30 | + | 3164.22i | 0.686921 | + | 0.331472i | ||||
\(451\) | 2482.72i | 0.259217i | ||||||||
\(452\) | 202.161i | 0.0210373i | ||||||||
\(453\) | 1948.12 | + | 3103.13i | 0.202054 | + | 0.321849i | ||||
\(454\) | 9621.12i | 0.994585i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −4884.45 | − | 7780.38i | −0.501613 | − | 0.799013i | ||||
\(457\) | −2083.59 | −0.213275 | −0.106637 | − | 0.994298i | \(-0.534008\pi\) | ||||
−0.106637 | + | 0.994298i | \(0.534008\pi\) | |||||||
\(458\) | 12493.2 | 1.27460 | ||||||||
\(459\) | −9412.17 | + | 1049.20i | −0.957130 | + | 0.106694i | ||||
\(460\) | − | 273.512i | − | 0.0277230i | ||||||
\(461\) | −14128.1 | −1.42736 | −0.713679 | − | 0.700473i | \(-0.752972\pi\) | ||||
−0.713679 | + | 0.700473i | \(0.752972\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16141.5 | 1.62021 | 0.810106 | − | 0.586283i | \(-0.199409\pi\) | ||||
0.810106 | + | 0.586283i | \(0.199409\pi\) | |||||||
\(464\) | − | 376.909i | − | 0.0377103i | ||||||
\(465\) | −4738.60 | + | 2974.85i | −0.472575 | + | 0.296678i | ||||
\(466\) | 10570.6 | 1.05080 | ||||||||
\(467\) | 6249.38 | 0.619244 | 0.309622 | − | 0.950860i | \(-0.399797\pi\) | ||||
0.309622 | + | 0.950860i | \(0.399797\pi\) | |||||||
\(468\) | −399.269 | − | 192.667i | −0.0394364 | − | 0.0190300i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 2375.05i | 0.233091i | ||||||||
\(471\) | −7031.56 | + | 4414.35i | −0.687892 | + | 0.431852i | ||||
\(472\) | − | 16460.1i | − | 1.60516i | ||||||
\(473\) | − | 2518.36i | − | 0.244809i | ||||||
\(474\) | 5900.27 | − | 3704.14i | 0.571748 | − | 0.358938i | ||||
\(475\) | 7455.58i | 0.720180i | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2447.29 | + | 1180.94i | 0.234914 | + | 0.113357i | ||||
\(478\) | −13021.1 | −1.24597 | ||||||||
\(479\) | −10624.2 | −1.01343 | −0.506713 | − | 0.862115i | \(-0.669140\pi\) | ||||
−0.506713 | + | 0.862115i | \(0.669140\pi\) | |||||||
\(480\) | 260.759 | − | 163.702i | 0.0247957 | − | 0.0155665i | ||||
\(481\) | − | 11425.7i | − | 1.08309i | ||||||
\(482\) | 6373.86 | 0.602327 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 116.142 | 0.0109074 | ||||||||
\(485\) | 230.989i | 0.0216261i | ||||||||
\(486\) | −10253.2 | − | 3610.52i | −0.956989 | − | 0.336988i | ||||
\(487\) | −3970.15 | −0.369414 | −0.184707 | − | 0.982794i | \(-0.559134\pi\) | ||||
−0.184707 | + | 0.982794i | \(0.559134\pi\) | |||||||
\(488\) | 7953.76 | 0.737807 | ||||||||
\(489\) | 7560.13 | + | 12042.4i | 0.699143 | + | 1.11366i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4184.69i | 0.384628i | 0.981333 | + | 0.192314i | \(0.0615993\pi\) | ||||
−0.981333 | + | 0.192314i | \(0.938401\pi\) | |||||||
\(492\) | −37.7508 | − | 60.1327i | −0.00345922 | − | 0.00551015i | ||||
\(493\) | − | 386.516i | − | 0.0353099i | ||||||
\(494\) | − | 15900.5i | − | 1.44818i | ||||||
\(495\) | −5786.80 | − | 2792.41i | −0.525449 | − | 0.253555i | ||||
\(496\) | − | 12723.7i | − | 1.15183i | ||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 3469.22 | − | 2177.94i | 0.312167 | − | 0.195976i | ||||
\(499\) | 18462.3 | 1.65628 | 0.828141 | − | 0.560520i | \(-0.189399\pi\) | ||||
0.828141 | + | 0.560520i | \(0.189399\pi\) | |||||||
\(500\) | −286.790 | −0.0256512 | ||||||||
\(501\) | −68.1668 | − | 108.582i | −0.00607877 | − | 0.00968280i | ||||
\(502\) | 1871.44i | 0.166388i | ||||||||
\(503\) | −11828.5 | −1.04853 | −0.524263 | − | 0.851557i | \(-0.675659\pi\) | ||||
−0.524263 | + | 0.851557i | \(0.675659\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7039.44 | −0.620299 | ||||||||
\(506\) | − | 25601.1i | − | 2.24923i | ||||||
\(507\) | 7404.33 | + | 11794.3i | 0.648595 | + | 1.03314i | ||||
\(508\) | −325.085 | −0.0283924 | ||||||||
\(509\) | 797.139 | 0.0694157 | 0.0347078 | − | 0.999398i | \(-0.488950\pi\) | ||||
0.0347078 | + | 0.999398i | \(0.488950\pi\) | |||||||
\(510\) | 4748.91 | − | 2981.32i | 0.412324 | − | 0.258853i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 11034.1i | − | 0.952425i | ||||||
\(513\) | −1233.20 | − | 11062.8i | −0.106134 | − | 0.952110i | ||||
\(514\) | 19725.8i | 1.69274i | ||||||||
\(515\) | 1723.67i | 0.147483i | ||||||||
\(516\) | 38.2927 | + | 60.9960i | 0.00326694 | + | 0.00520388i | ||||
\(517\) | 6346.96i | 0.539921i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 3877.87 | + | 6177.01i | 0.327976 | + | 0.522429i | ||||
\(520\) | −8668.60 | −0.731044 | ||||||||
\(521\) | 8365.75 | 0.703475 | 0.351737 | − | 0.936099i | \(-0.385591\pi\) | ||||
0.351737 | + | 0.936099i | \(0.385591\pi\) | |||||||
\(522\) | 192.808 | − | 399.562i | 0.0161666 | − | 0.0335026i | ||||
\(523\) | 3623.04i | 0.302915i | 0.988464 | + | 0.151457i | \(0.0483966\pi\) | ||||
−0.988464 | + | 0.151457i | \(0.951603\pi\) | |||||||
\(524\) | −206.877 | −0.0172470 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 9428.65 | 0.781575 | ||||||||
\(527\) | − | 13048.0i | − | 1.07852i | ||||||
\(528\) | 12375.3 | − | 7769.10i | 1.02001 | − | 0.640354i | ||||
\(529\) | −31443.4 | −2.58432 | ||||||||
\(530\) | −1608.84 | −0.131856 | ||||||||
\(531\) | 8667.85 | − | 17962.7i | 0.708386 | − | 1.46801i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 4058.60i | 0.329827i | ||||||||
\(534\) | −6833.18 | + | 4289.81i | −0.553747 | + | 0.347637i | ||||
\(535\) | − | 4989.66i | − | 0.403219i | ||||||
\(536\) | 16069.4i | 1.29495i | ||||||||
\(537\) | 7545.27 | − | 4736.85i | 0.606336 | − | 0.380652i | ||||
\(538\) | − | 3608.86i | − | 0.289199i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 182.619 | − | 20.3570i | 0.0145531 | − | 0.00162227i | ||||
\(541\) | 2220.96 | 0.176500 | 0.0882501 | − | 0.996098i | \(-0.471873\pi\) | ||||
0.0882501 | + | 0.996098i | \(0.471873\pi\) | |||||||
\(542\) | 1063.95 | 0.0843185 | ||||||||
\(543\) | 9005.83 | − | 5653.78i | 0.711744 | − | 0.446826i | ||||
\(544\) | 718.012i | 0.0565892i | ||||||||
\(545\) | 8860.62 | 0.696417 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10592.4 | 0.827969 | 0.413985 | − | 0.910284i | \(-0.364137\pi\) | ||||
0.413985 | + | 0.910284i | \(0.364137\pi\) | |||||||
\(548\) | 714.141i | 0.0556690i | ||||||||
\(549\) | 8679.82 | + | 4188.43i | 0.674765 | + | 0.325607i | ||||
\(550\) | −11519.8 | −0.893104 | ||||||||
\(551\) | 454.298 | 0.0351248 | ||||||||
\(552\) | −12856.2 | − | 20478.4i | −0.991295 | − | 1.57902i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | − | 4419.79i | − | 0.338951i | ||||||
\(555\) | 2517.99 | + | 4010.88i | 0.192582 | + | 0.306761i | ||||
\(556\) | − | 153.333i | − | 0.0116956i | ||||||
\(557\) | 989.584i | 0.0752783i | 0.999291 | + | 0.0376392i | \(0.0119837\pi\) | ||||
−0.999291 | + | 0.0376392i | \(0.988016\pi\) | |||||||
\(558\) | 6508.80 | − | 13488.4i | 0.493798 | − | 1.02331i | ||||
\(559\) | − | 4116.87i | − | 0.311494i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 12690.7 | − | 7967.12i | 0.955086 | − | 0.599594i | ||||
\(562\) | −10855.4 | −0.814781 | ||||||||
\(563\) | 16789.7 | 1.25684 | 0.628422 | − | 0.777872i | \(-0.283701\pi\) | ||||
0.628422 | + | 0.777872i | \(0.283701\pi\) | |||||||
\(564\) | −96.5080 | − | 153.726i | −0.00720518 | − | 0.0114770i | ||||
\(565\) | 4789.81i | 0.356653i | ||||||||
\(566\) | 26582.1 | 1.97408 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −6883.50 | −0.508495 | ||||||||
\(569\) | 11077.7i | 0.816174i | 0.912943 | + | 0.408087i | \(0.133804\pi\) | ||||
−0.912943 | + | 0.408087i | \(0.866196\pi\) | |||||||
\(570\) | 3504.14 | + | 5581.71i | 0.257496 | + | 0.410161i | ||||
\(571\) | −4213.19 | −0.308785 | −0.154393 | − | 0.988010i | \(-0.549342\pi\) | ||||
−0.154393 | + | 0.988010i | \(0.549342\pi\) | |||||||
\(572\) | 701.434 | 0.0512735 | ||||||||
\(573\) | −14844.4 | + | 9319.17i | −1.08226 | + | 0.679431i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 19623.6i | 1.42323i | ||||||||
\(576\) | 5821.06 | − | 12063.2i | 0.421083 | − | 0.872624i | ||||
\(577\) | 1676.34i | 0.120948i | 0.998170 | + | 0.0604738i | \(0.0192612\pi\) | ||||
−0.998170 | + | 0.0604738i | \(0.980739\pi\) | |||||||
\(578\) | − | 1022.43i | − | 0.0735767i | ||||||
\(579\) | 1173.98 | + | 1870.02i | 0.0842644 | + | 0.134224i | ||||
\(580\) | 7.49934i | 0.000536885i | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −328.754 | − | 523.668i | −0.0234146 | − | 0.0372968i | ||||
\(583\) | −4299.39 | −0.305424 | ||||||||
\(584\) | −18430.9 | −1.30595 | ||||||||
\(585\) | −9459.91 | − | 4564.86i | −0.668580 | − | 0.322622i | ||||
\(586\) | 20995.8i | 1.48008i | ||||||||
\(587\) | 22687.3 | 1.59524 | 0.797620 | − | 0.603161i | \(-0.206092\pi\) | ||||
0.797620 | + | 0.603161i | \(0.206092\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15336.1 | 1.07286 | ||||||||
\(590\) | 11808.6i | 0.823988i | ||||||||
\(591\) | −19454.1 | + | 12213.1i | −1.35404 | + | 0.850052i | ||||
\(592\) | −10769.6 | −0.747685 | ||||||||
\(593\) | −17961.5 | −1.24383 | −0.621916 | − | 0.783084i | \(-0.713645\pi\) | ||||
−0.621916 | + | 0.783084i | \(0.713645\pi\) | |||||||
\(594\) | 17093.4 | − | 1905.45i | 1.18072 | − | 0.131619i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 92.9820i | − | 0.00639042i | ||||||
\(597\) | 6943.57 | − | 4359.11i | 0.476016 | − | 0.298838i | ||||
\(598\) | − | 41851.2i | − | 2.86191i | ||||||
\(599\) | − | 6899.45i | − | 0.470624i | −0.971920 | − | 0.235312i | \(-0.924389\pi\) | ||
0.971920 | − | 0.235312i | \(-0.0756112\pi\) | |||||||
\(600\) | −9214.76 | + | 5784.94i | −0.626985 | + | 0.393615i | ||||
\(601\) | − | 19792.8i | − | 1.34337i | −0.740838 | − | 0.671684i | \(-0.765571\pi\) | ||
0.740838 | − | 0.671684i | \(-0.234429\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −8462.13 | + | 17536.3i | −0.571484 | + | 1.18430i | ||||
\(604\) | 165.786 | 0.0111685 | ||||||||
\(605\) | 2751.76 | 0.184918 | ||||||||
\(606\) | 15958.9 | − | 10018.9i | 1.06978 | − | 0.671597i | ||||
\(607\) | − | 17838.2i | − | 1.19280i | −0.802688 | − | 0.596399i | \(-0.796598\pi\) | ||
0.802688 | − | 0.596399i | \(-0.203402\pi\) | |||||||
\(608\) | −843.928 | −0.0562924 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5706.09 | −0.378743 | ||||||||
\(611\) | 10375.6i | 0.686993i | ||||||||
\(612\) | −186.232 | + | 385.935i | −0.0123007 | + | 0.0254910i | ||||
\(613\) | 6785.09 | 0.447059 | 0.223530 | − | 0.974697i | \(-0.428242\pi\) | ||||
0.223530 | + | 0.974697i | \(0.428242\pi\) | |||||||
\(614\) | 12476.5 | 0.820052 | ||||||||
\(615\) | −894.431 | − | 1424.73i | −0.0586454 | − | 0.0934155i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 3472.07i | 0.226549i | 0.993564 | + | 0.113274i | \(0.0361339\pi\) | ||||
−0.993564 | + | 0.113274i | \(0.963866\pi\) | |||||||
\(618\) | −2453.20 | − | 3907.67i | −0.159680 | − | 0.254352i | ||||
\(619\) | − | 7359.94i | − | 0.477901i | −0.971032 | − | 0.238951i | \(-0.923197\pi\) | ||
0.971032 | − | 0.238951i | \(-0.0768034\pi\) | |||||||
\(620\) | 253.162i | 0.0163988i | ||||||||
\(621\) | −3245.85 | − | 29117.8i | −0.209745 | − | 1.88158i | ||||
\(622\) | 13058.1i | 0.841770i | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 20230.4 | − | 12700.5i | 1.29786 | − | 0.814784i | ||||
\(625\) | 4951.14 | 0.316873 | ||||||||
\(626\) | 24242.4 | 1.54780 | ||||||||
\(627\) | 9364.29 | + | 14916.3i | 0.596449 | + | 0.950077i | ||||
\(628\) | 375.665i | 0.0238705i | ||||||||
\(629\) | −11044.2 | −0.700094 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14566.0 | −0.918957 | −0.459479 | − | 0.888189i | \(-0.651964\pi\) | ||||
−0.459479 | + | 0.888189i | \(0.651964\pi\) | |||||||
\(632\) | 10410.6i | 0.655239i | ||||||||
\(633\) | −2517.07 | − | 4009.41i | −0.158048 | − | 0.251753i | ||||
\(634\) | −9566.23 | −0.599248 | ||||||||
\(635\) | −7702.26 | −0.481346 | ||||||||
\(636\) | 104.133 | − | 65.3739i | 0.00649238 | − | 0.00407585i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 701.949i | 0.0435586i | ||||||||
\(639\) | −7511.86 | − | 3624.84i | −0.465046 | − | 0.224407i | ||||
\(640\) | 8404.31i | 0.519077i | ||||||||
\(641\) | 2089.00i | 0.128722i | 0.997927 | + | 0.0643609i | \(0.0205009\pi\) | ||||
−0.997927 | + | 0.0643609i | \(0.979499\pi\) | |||||||
\(642\) | 7101.52 | + | 11311.9i | 0.436565 | + | 0.695399i | ||||
\(643\) | 9732.76i | 0.596925i | 0.954421 | + | 0.298462i | \(0.0964737\pi\) | ||||
−0.954421 | + | 0.298462i | \(0.903526\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 907.272 | + | 1445.18i | 0.0553857 | + | 0.0882232i | ||||
\(646\) | −15369.5 | −0.936077 | ||||||||
\(647\) | −18491.0 | −1.12358 | −0.561790 | − | 0.827280i | \(-0.689887\pi\) | ||||
−0.561790 | + | 0.827280i | \(0.689887\pi\) | |||||||
\(648\) | 12716.2 | − | 10108.0i | 0.770894 | − | 0.612777i | ||||
\(649\) | 31556.7i | 1.90864i | ||||||||
\(650\) | −18831.9 | −1.13638 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 643.373 | 0.0386449 | ||||||||
\(653\) | 5592.68i | 0.335158i | 0.985859 | + | 0.167579i | \(0.0535950\pi\) | ||||
−0.985859 | + | 0.167579i | \(0.946405\pi\) | |||||||
\(654\) | −20087.7 | + | 12610.8i | −1.20105 | + | 0.754011i | ||||
\(655\) | −4901.54 | −0.292395 | ||||||||
\(656\) | 3825.55 | 0.227687 | ||||||||
\(657\) | −20113.3 | − | 9705.65i | −1.19436 | − | 0.576337i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 9543.49i | − | 0.564130i | −0.959395 | − | 0.282065i | \(-0.908981\pi\) | ||
0.959395 | − | 0.282065i | \(-0.0910193\pi\) | |||||||
\(660\) | −246.231 | + | 154.581i | −0.0145220 | + | 0.00911678i | ||||
\(661\) | − | 6778.91i | − | 0.398894i | −0.979909 | − | 0.199447i | \(-0.936085\pi\) | ||
0.979909 | − | 0.199447i | \(-0.0639146\pi\) | |||||||
\(662\) | − | 21513.7i | − | 1.26307i | ||||||
\(663\) | 20746.0 | − | 13024.2i | 1.21525 | − | 0.762921i | ||||
\(664\) | 6121.18i | 0.357753i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −11416.9 | − | 5509.22i | −0.664260 | − | 0.320538i | ||||
\(667\) | 1195.74 | 0.0694141 | ||||||||
\(668\) | −5.80105 | −0.000336002 | ||||||||
\(669\) | 13511.5 | − | 8482.38i | 0.780843 | − | 0.490206i | ||||
\(670\) | − | 11528.3i | − | 0.664744i | ||||||
\(671\) | −15248.7 | −0.877300 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −25094.5 | −1.43733 | −0.718663 | − | 0.695359i | \(-0.755246\pi\) | ||||
−0.718663 | + | 0.695359i | \(0.755246\pi\) | |||||||
\(674\) | 14657.7i | 0.837678i | ||||||||
\(675\) | −13102.3 | + | 1460.55i | −0.747120 | + | 0.0832836i | ||||
\(676\) | 630.114 | 0.0358508 | ||||||||
\(677\) | −26332.2 | −1.49487 | −0.747435 | − | 0.664335i | \(-0.768715\pi\) | ||||
−0.747435 | + | 0.664335i | \(0.768715\pi\) | |||||||
\(678\) | −6817.08 | − | 10858.8i | −0.386148 | − | 0.615090i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 8379.10i | 0.472535i | ||||||||
\(681\) | −9262.69 | − | 14754.4i | −0.521214 | − | 0.830236i | ||||
\(682\) | 23696.3i | 1.33047i | ||||||||
\(683\) | 2346.73i | 0.131472i | 0.997837 | + | 0.0657359i | \(0.0209395\pi\) | ||||
−0.997837 | + | 0.0657359i | \(0.979061\pi\) | |||||||
\(684\) | −453.615 | − | 218.891i | −0.0253573 | − | 0.0122361i | ||||
\(685\) | 16920.2i | 0.943777i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −19158.9 | + | 12027.8i | −1.06398 | + | 0.667959i | ||||
\(688\) | −3880.47 | −0.215031 | ||||||||
\(689\) | −7028.38 | −0.388621 | ||||||||
\(690\) | 9223.12 | + | 14691.4i | 0.508867 | + | 0.810568i | ||||
\(691\) | 11233.2i | 0.618421i | 0.950994 | + | 0.309211i | \(0.100065\pi\) | ||||
−0.950994 | + | 0.309211i | \(0.899935\pi\) | |||||||
\(692\) | 330.010 | 0.0181288 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −8512.50 | −0.465605 | ||||||||
\(695\) | − | 3632.93i | − | 0.198280i | ||||||
\(696\) | 352.499 | + | 561.491i | 0.0191975 | + | 0.0305794i | ||||
\(697\) | 3923.06 | 0.213194 | ||||||||
\(698\) | 8235.72 | 0.446600 | ||||||||
\(699\) | −16210.4 | + | 10176.8i | −0.877160 | + | 0.550673i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 17277.2i | − | 0.930887i | −0.885078 | − | 0.465443i | \(-0.845895\pi\) | ||
0.885078 | − | 0.465443i | \(-0.154105\pi\) | |||||||
\(702\) | 27943.2 | − | 3114.91i | 1.50235 | − | 0.167471i | ||||
\(703\) | − | 12980.9i | − | 0.696422i | ||||||
\(704\) | 21192.5i | 1.13455i | ||||||||
\(705\) | −2286.57 | − | 3642.25i | −0.122152 | − | 0.194574i | ||||
\(706\) | 36310.8i | 1.93566i | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −479.832 | − | 764.319i | −0.0254706 | − | 0.0405718i | ||||
\(709\) | 18839.1 | 0.997910 | 0.498955 | − | 0.866628i | \(-0.333717\pi\) | ||||
0.498955 | + | 0.866628i | \(0.333717\pi\) | |||||||
\(710\) | 4938.28 | 0.261029 | ||||||||
\(711\) | −5482.20 | + | 11360.9i | −0.289168 | + | 0.599252i | ||||
\(712\) | − | 12056.6i | − | 0.634609i | ||||||
\(713\) | 40365.7 | 2.12020 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 16619.1 | 0.869259 | ||||||||
\(716\) | − | 403.110i | − | 0.0210404i | ||||||
\(717\) | 19968.5 | − | 12536.0i | 1.04008 | − | 0.652951i | ||||
\(718\) | 18914.9 | 0.983142 | ||||||||
\(719\) | 10519.4 | 0.545630 | 0.272815 | − | 0.962067i | \(-0.412045\pi\) | ||||
0.272815 | + | 0.962067i | \(0.412045\pi\) | |||||||
\(720\) | −4302.74 | + | 8916.71i | −0.222714 | + | 0.461536i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 1618.38i | 0.0834209i | ||||||||
\(723\) | −9774.61 | + | 6136.41i | −0.502796 | + | 0.315651i | ||||
\(724\) | − | 481.141i | − | 0.0246982i | ||||||
\(725\) | − | 538.051i | − | 0.0275624i | ||||||
\(726\) | −6238.44 | + | 3916.44i | −0.318912 | + | 0.200210i | ||||
\(727\) | − | 1692.44i | − | 0.0863401i | −0.999068 | − | 0.0431700i | \(-0.986254\pi\) | ||
0.999068 | − | 0.0431700i | \(-0.0137457\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 19199.8 | − | 4334.38i | 0.975453 | − | 0.220209i | ||||
\(730\) | 13222.5 | 0.670390 | ||||||||
\(731\) | −3979.38 | −0.201344 | ||||||||
\(732\) | 369.330 | − | 231.862i | 0.0186487 | − | 0.0117075i | ||||
\(733\) | 30431.1i | 1.53342i | 0.641991 | + | 0.766712i | \(0.278108\pi\) | ||||
−0.641991 | + | 0.766712i | \(0.721892\pi\) | |||||||
\(734\) | −29517.6 | −1.48435 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2221.27 | −0.111246 | ||||||||
\(737\) | − | 30807.7i | − | 1.53978i | ||||||
\(738\) | 4055.48 | + | 1956.96i | 0.202282 | + | 0.0976109i | ||||
\(739\) | 4913.38 | 0.244576 | 0.122288 | − | 0.992495i | \(-0.460977\pi\) | ||||
0.122288 | + | 0.992495i | \(0.460977\pi\) | |||||||
\(740\) | 214.283 | 0.0106449 | ||||||||
\(741\) | 15308.2 | + | 24384.2i | 0.758920 | + | 1.20887i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − | 27101.5i | − | 1.33816i | −0.743188 | − | 0.669082i | \(-0.766687\pi\) | ||
0.743188 | − | 0.669082i | \(-0.233313\pi\) | |||||||
\(744\) | 11899.6 | + | 18954.8i | 0.586373 | + | 0.934026i | ||||
\(745\) | − | 2203.03i | − | 0.108339i | ||||||
\(746\) | 12658.2i | 0.621247i | ||||||||
\(747\) | −3223.40 | + | 6679.95i | −0.157882 | + | 0.327184i | ||||
\(748\) | − | 678.009i | − | 0.0331423i | ||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 15404.6 | − | 9670.84i | 0.749994 | − | 0.470839i | ||||
\(751\) | 16616.9 | 0.807403 | 0.403701 | − | 0.914891i | \(-0.367723\pi\) | ||||
0.403701 | + | 0.914891i | \(0.367723\pi\) | |||||||
\(752\) | 9779.84 | 0.474247 | ||||||||
\(753\) | −1801.72 | − | 2869.94i | −0.0871959 | − | 0.138893i | ||||
\(754\) | 1147.50i | 0.0554239i | ||||||||
\(755\) | 3927.98 | 0.189343 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −29748.9 | −1.42833 | −0.714163 | − | 0.699980i | \(-0.753192\pi\) | ||||
−0.714163 | + | 0.699980i | \(0.753192\pi\) | |||||||
\(758\) | 11014.6i | 0.527796i | ||||||||
\(759\) | 24647.4 | + | 39260.5i | 1.17871 | + | 1.87756i | ||||
\(760\) | −9848.51 | −0.470057 | ||||||||
\(761\) | 4756.16 | 0.226558 | 0.113279 | − | 0.993563i | \(-0.463865\pi\) | ||||
0.113279 | + | 0.993563i | \(0.463865\pi\) | |||||||
\(762\) | 17461.6 | − | 10962.2i | 0.830139 | − | 0.521153i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 793.069i | 0.0375553i | ||||||||
\(765\) | −4412.41 | + | 9143.98i | −0.208538 | + | 0.432159i | ||||
\(766\) | 6103.12i | 0.287878i | ||||||||
\(767\) | 51587.0i | 2.42855i | ||||||||
\(768\) | −996.888 | − | 1587.93i | −0.0468387 | − | 0.0746088i | ||||
\(769\) | − | 9226.71i | − | 0.432671i | −0.976319 | − | 0.216335i | \(-0.930590\pi\) | ||
0.976319 | − | 0.216335i | \(-0.0694104\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −18990.9 | − | 30250.4i | −0.887083 | − | 1.41302i | ||||
\(772\) | 99.9070 | 0.00465768 | ||||||||
\(773\) | 4745.02 | 0.220785 | 0.110392 | − | 0.993888i | \(-0.464789\pi\) | ||||
0.110392 | + | 0.993888i | \(0.464789\pi\) | |||||||
\(774\) | −4113.70 | − | 1985.06i | −0.191039 | − | 0.0921853i | ||||
\(775\) | − | 18163.5i | − | 0.841873i | ||||||
\(776\) | 923.973 | 0.0427432 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 20715.1 | 0.954590 | ||||||||
\(779\) | 4611.03i | 0.212076i | ||||||||
\(780\) | −402.523 | + | 252.700i | −0.0184777 | + | 0.0116002i | ||||
\(781\) | 13196.8 | 0.604633 | ||||||||
\(782\) | −40453.5 | −1.84989 | ||||||||
\(783\) | 88.9968 | + | 798.372i | 0.00406192 | + | 0.0364387i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 8900.65i | 0.404685i | ||||||||
\(786\) | 11112.1 | − | 6976.09i | 0.504271 | − |