Newspace parameters
Level: | \( N \) | = | \( 20 = 2^{2} \cdot 5 \) |
Weight: | \( k \) | = | \( 4 \) |
Character orbit: | \([\chi]\) | = | 20.e (of order \(4\) and degree \(2\)) |
Newform invariants
Self dual: | No |
Analytic conductor: | \(1.18003820011\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 2^{14} \) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 7.3 | ||
Root | \(-1.76129 - 0.947553i\) | ||
Character | \(\chi\) | = | 20.7 |
Dual form | 20.4.e.b.3.3 |
$q$-expansion
Character Values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/20\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.813737 | + | 2.70884i | −0.287699 | + | 0.957721i | ||||
\(3\) | 2.61822 | + | 2.61822i | 0.503877 | + | 0.503877i | 0.912640 | − | 0.408764i | \(-0.134040\pi\) |
−0.408764 | + | 0.912640i | \(0.634040\pi\) | |||||||
\(4\) | −6.67566 | − | 4.40857i | −0.834458 | − | 0.551071i | ||||
\(5\) | −0.435501 | + | 11.1719i | −0.0389524 | + | 0.999241i | ||||
\(6\) | −9.22289 | + | 4.96181i | −0.627538 | + | 0.337608i | ||||
\(7\) | 17.7783 | − | 17.7783i | 0.959936 | − | 0.959936i | −0.0392914 | − | 0.999228i | \(-0.512510\pi\) |
0.999228 | + | 0.0392914i | \(0.0125101\pi\) | |||||||
\(8\) | 17.3744 | − | 14.4959i | 0.767846 | − | 0.640635i | ||||
\(9\) | − | 13.2899i | − | 0.492217i | ||||||
\(10\) | −29.9084 | − | 10.2707i | −0.945787 | − | 0.324787i | ||||
\(11\) | 7.37590i | 0.202174i | 0.994878 | + | 0.101087i | \(0.0322321\pi\) | ||||
−0.994878 | + | 0.101087i | \(0.967768\pi\) | |||||||
\(12\) | −5.93575 | − | 29.0210i | −0.142792 | − | 0.698136i | ||||
\(13\) | −2.68249 | + | 2.68249i | −0.0572300 | + | 0.0572300i | −0.735143 | − | 0.677913i | \(-0.762885\pi\) |
0.677913 | + | 0.735143i | \(0.262885\pi\) | |||||||
\(14\) | 33.6917 | + | 62.6254i | 0.643178 | + | 1.19552i | ||||
\(15\) | −30.3906 | + | 28.1101i | −0.523121 | + | 0.483867i | ||||
\(16\) | 25.1290 | + | 58.8603i | 0.392641 | + | 0.919692i | ||||
\(17\) | −20.2367 | − | 20.2367i | −0.288713 | − | 0.288713i | 0.547858 | − | 0.836571i | \(-0.315443\pi\) |
−0.836571 | + | 0.547858i | \(0.815443\pi\) | |||||||
\(18\) | 36.0001 | + | 10.8144i | 0.471406 | + | 0.141610i | ||||
\(19\) | −135.808 | −1.63981 | −0.819906 | − | 0.572498i | \(-0.805975\pi\) | ||||
−0.819906 | + | 0.572498i | \(0.805975\pi\) | |||||||
\(20\) | 52.1592 | − | 72.6596i | 0.583157 | − | 0.812359i | ||||
\(21\) | 93.0948 | 0.967379 | ||||||||
\(22\) | −19.9802 | − | 6.00204i | −0.193627 | − | 0.0581654i | ||||
\(23\) | 71.0426 | + | 71.0426i | 0.644061 | + | 0.644061i | 0.951551 | − | 0.307490i | \(-0.0994892\pi\) |
−0.307490 | + | 0.951551i | \(0.599489\pi\) | |||||||
\(24\) | 83.4434 | + | 7.53642i | 0.709700 | + | 0.0640985i | ||||
\(25\) | −124.621 | − | 9.73070i | −0.996965 | − | 0.0778456i | ||||
\(26\) | −5.08361 | − | 9.44930i | −0.0383453 | − | 0.0712754i | ||||
\(27\) | 105.488 | − | 105.488i | 0.751893 | − | 0.751893i | ||||
\(28\) | −197.059 | + | 40.3050i | −1.33002 | + | 0.272033i | ||||
\(29\) | − | 34.2890i | − | 0.219562i | −0.993956 | − | 0.109781i | \(-0.964985\pi\) | ||
0.993956 | − | 0.109781i | \(-0.0350150\pi\) | |||||||
\(30\) | −51.4160 | − | 105.198i | −0.312908 | − | 0.640213i | ||||
\(31\) | − | 187.974i | − | 1.08907i | −0.838739 | − | 0.544533i | \(-0.816707\pi\) | ||
0.838739 | − | 0.544533i | \(-0.183293\pi\) | |||||||
\(32\) | −179.892 | + | 20.1737i | −0.993771 | + | 0.111445i | ||||
\(33\) | −19.3117 | + | 19.3117i | −0.101871 | + | 0.101871i | ||||
\(34\) | 71.2855 | − | 38.3507i | 0.359569 | − | 0.193444i | ||||
\(35\) | 190.874 | + | 206.359i | 0.921816 | + | 0.996600i | ||||
\(36\) | −58.5893 | + | 88.7186i | −0.271247 | + | 0.410734i | ||||
\(37\) | 250.679 | + | 250.679i | 1.11382 | + | 1.11382i | 0.992629 | + | 0.121190i | \(0.0386712\pi\) |
0.121190 | + | 0.992629i | \(0.461329\pi\) | |||||||
\(38\) | 110.512 | − | 367.882i | 0.471773 | − | 1.57048i | ||||
\(39\) | −14.0467 | −0.0576737 | ||||||||
\(40\) | 154.380 | + | 200.417i | 0.610239 | + | 0.792217i | ||||
\(41\) | −211.105 | −0.804122 | −0.402061 | − | 0.915613i | \(-0.631706\pi\) | ||||
−0.402061 | + | 0.915613i | \(0.631706\pi\) | |||||||
\(42\) | −75.7547 | + | 252.179i | −0.278314 | + | 0.926479i | ||||
\(43\) | −46.7326 | − | 46.7326i | −0.165736 | − | 0.165736i | 0.619366 | − | 0.785102i | \(-0.287390\pi\) |
−0.785102 | + | 0.619366i | \(0.787390\pi\) | |||||||
\(44\) | 32.5172 | − | 49.2390i | 0.111412 | − | 0.168706i | ||||
\(45\) | 148.472 | + | 5.78774i | 0.491843 | + | 0.0191730i | ||||
\(46\) | −250.253 | + | 134.633i | −0.802126 | + | 0.431535i | ||||
\(47\) | −189.707 | + | 189.707i | −0.588757 | + | 0.588757i | −0.937295 | − | 0.348538i | \(-0.886678\pi\) |
0.348538 | + | 0.937295i | \(0.386678\pi\) | |||||||
\(48\) | −88.3159 | + | 219.902i | −0.265569 | + | 0.661254i | ||||
\(49\) | − | 289.134i | − | 0.842956i | ||||||
\(50\) | 127.767 | − | 329.660i | 0.361381 | − | 0.932418i | ||||
\(51\) | − | 105.968i | − | 0.290952i | ||||||
\(52\) | 29.7334 | − | 6.08147i | 0.0792939 | − | 0.0162182i | ||||
\(53\) | −74.5742 | + | 74.5742i | −0.193275 | + | 0.193275i | −0.797109 | − | 0.603835i | \(-0.793639\pi\) |
0.603835 | + | 0.797109i | \(0.293639\pi\) | |||||||
\(54\) | 199.910 | + | 371.589i | 0.503784 | + | 0.936423i | ||||
\(55\) | −82.4025 | − | 3.21221i | −0.202021 | − | 0.00787517i | ||||
\(56\) | 51.1739 | − | 566.598i | 0.122114 | − | 1.35205i | ||||
\(57\) | −355.575 | − | 355.575i | −0.826263 | − | 0.826263i | ||||
\(58\) | 92.8835 | + | 27.9022i | 0.210279 | + | 0.0631679i | ||||
\(59\) | −101.072 | −0.223024 | −0.111512 | − | 0.993763i | \(-0.535569\pi\) | ||||
−0.111512 | + | 0.993763i | \(0.535569\pi\) | |||||||
\(60\) | 326.803 | − | 53.6747i | 0.703168 | − | 0.115489i | ||||
\(61\) | 232.112 | 0.487196 | 0.243598 | − | 0.969876i | \(-0.421672\pi\) | ||||
0.243598 | + | 0.969876i | \(0.421672\pi\) | |||||||
\(62\) | 509.191 | + | 152.961i | 1.04302 | + | 0.313324i | ||||
\(63\) | −236.271 | − | 236.271i | −0.472497 | − | 0.472497i | ||||
\(64\) | 91.7370 | − | 503.715i | 0.179174 | − | 0.983817i | ||||
\(65\) | −28.8002 | − | 31.1367i | −0.0549573 | − | 0.0594158i | ||||
\(66\) | −36.5978 | − | 68.0271i | −0.0682557 | − | 0.126872i | ||||
\(67\) | 34.7419 | − | 34.7419i | 0.0633493 | − | 0.0633493i | −0.674722 | − | 0.738072i | \(-0.735737\pi\) |
0.738072 | + | 0.674722i | \(0.235737\pi\) | |||||||
\(68\) | 45.8785 | + | 224.309i | 0.0818175 | + | 0.400021i | ||||
\(69\) | 372.010i | 0.649054i | ||||||||
\(70\) | −714.314 | + | 349.126i | −1.21967 | + | 0.596121i | ||||
\(71\) | 614.600i | 1.02732i | 0.857994 | + | 0.513660i | \(0.171711\pi\) | ||||
−0.857994 | + | 0.513660i | \(0.828289\pi\) | |||||||
\(72\) | −192.649 | − | 230.903i | −0.315331 | − | 0.377946i | ||||
\(73\) | −37.4378 | + | 37.4378i | −0.0600242 | + | 0.0600242i | −0.736482 | − | 0.676457i | \(-0.763514\pi\) |
0.676457 | + | 0.736482i | \(0.263514\pi\) | |||||||
\(74\) | −883.036 | + | 475.063i | −1.38717 | + | 0.746283i | ||||
\(75\) | −300.807 | − | 351.761i | −0.463123 | − | 0.541572i | ||||
\(76\) | 906.607 | + | 598.718i | 1.36836 | + | 0.903654i | ||||
\(77\) | 131.131 | + | 131.131i | 0.194074 | + | 0.194074i | ||||
\(78\) | 11.4303 | − | 38.0504i | 0.0165927 | − | 0.0552353i | ||||
\(79\) | 1002.91 | 1.42831 | 0.714153 | − | 0.699990i | \(-0.246812\pi\) | ||||
0.714153 | + | 0.699990i | \(0.246812\pi\) | |||||||
\(80\) | −668.522 | + | 255.104i | −0.934288 | + | 0.356518i | ||||
\(81\) | 193.554 | 0.265506 | ||||||||
\(82\) | 171.784 | − | 571.850i | 0.231346 | − | 0.770125i | ||||
\(83\) | 423.190 | + | 423.190i | 0.559652 | + | 0.559652i | 0.929208 | − | 0.369556i | \(-0.120490\pi\) |
−0.369556 | + | 0.929208i | \(0.620490\pi\) | |||||||
\(84\) | −621.470 | − | 410.415i | −0.807237 | − | 0.533095i | ||||
\(85\) | 234.895 | − | 217.269i | 0.299740 | − | 0.277248i | ||||
\(86\) | 164.619 | − | 88.5632i | 0.206411 | − | 0.111047i | ||||
\(87\) | 89.7761 | − | 89.7761i | 0.110632 | − | 0.110632i | ||||
\(88\) | 106.920 | + | 128.152i | 0.129520 | + | 0.155239i | ||||
\(89\) | 1049.38i | 1.24982i | 0.780695 | + | 0.624912i | \(0.214865\pi\) | ||||
−0.780695 | + | 0.624912i | \(0.785135\pi\) | |||||||
\(90\) | −136.495 | + | 397.478i | −0.159865 | + | 0.465532i | ||||
\(91\) | 95.3802i | 0.109874i | ||||||||
\(92\) | −161.060 | − | 787.453i | −0.182518 | − | 0.892365i | ||||
\(93\) | 492.156 | − | 492.156i | 0.548755 | − | 0.548755i | ||||
\(94\) | −359.514 | − | 668.257i | −0.394479 | − | 0.733249i | ||||
\(95\) | 59.1444 | − | 1517.22i | 0.0638746 | − | 1.63857i | ||||
\(96\) | −523.815 | − | 418.177i | −0.556892 | − | 0.444583i | ||||
\(97\) | −536.526 | − | 536.526i | −0.561608 | − | 0.561608i | 0.368156 | − | 0.929764i | \(-0.379989\pi\) |
−0.929764 | + | 0.368156i | \(0.879989\pi\) | |||||||
\(98\) | 783.218 | + | 235.279i | 0.807316 | + | 0.242518i | ||||
\(99\) | 98.0246 | 0.0995136 | ||||||||
\(100\) | 789.027 | + | 614.358i | 0.789027 | + | 0.614358i | ||||
\(101\) | −1415.80 | −1.39483 | −0.697414 | − | 0.716668i | \(-0.745666\pi\) | ||||
−0.697414 | + | 0.716668i | \(0.745666\pi\) | |||||||
\(102\) | 287.052 | + | 86.2303i | 0.278650 | + | 0.0837066i | ||||
\(103\) | −284.920 | − | 284.920i | −0.272563 | − | 0.272563i | 0.557568 | − | 0.830131i | \(-0.311735\pi\) |
−0.830131 | + | 0.557568i | \(0.811735\pi\) | |||||||
\(104\) | −7.72143 | + | 85.4919i | −0.00728027 | + | 0.0806074i | ||||
\(105\) | −40.5429 | + | 1040.04i | −0.0376817 | + | 0.966645i | ||||
\(106\) | −141.326 | − | 262.694i | −0.129498 | − | 0.240708i | ||||
\(107\) | −464.315 | + | 464.315i | −0.419505 | + | 0.419505i | −0.885033 | − | 0.465528i | \(-0.845864\pi\) |
0.465528 | + | 0.885033i | \(0.345864\pi\) | |||||||
\(108\) | −1169.25 | + | 239.150i | −1.04177 | + | 0.213076i | ||||
\(109\) | − | 638.365i | − | 0.560957i | −0.959860 | − | 0.280478i | \(-0.909507\pi\) | ||
0.959860 | − | 0.280478i | \(-0.0904931\pi\) | |||||||
\(110\) | 75.7553 | − | 220.601i | 0.0656635 | − | 0.191214i | ||||
\(111\) | 1312.66i | 1.12246i | ||||||||
\(112\) | 1493.18 | + | 599.684i | 1.25976 | + | 0.505936i | ||||
\(113\) | 1001.84 | − | 1001.84i | 0.834027 | − | 0.834027i | −0.154038 | − | 0.988065i | \(-0.549228\pi\) |
0.988065 | + | 0.154038i | \(0.0492277\pi\) | |||||||
\(114\) | 1252.54 | − | 673.852i | 1.02905 | − | 0.553614i | ||||
\(115\) | −824.616 | + | 762.738i | −0.668660 | + | 0.618484i | ||||
\(116\) | −151.165 | + | 228.902i | −0.120994 | + | 0.183216i | ||||
\(117\) | 35.6500 | + | 35.6500i | 0.0281696 | + | 0.0281696i | ||||
\(118\) | 82.2456 | − | 273.787i | 0.0641638 | − | 0.213594i | ||||
\(119\) | −719.548 | −0.554293 | ||||||||
\(120\) | −120.535 | + | 928.935i | −0.0916944 | + | 0.706665i | ||||
\(121\) | 1276.60 | 0.959126 | ||||||||
\(122\) | −188.878 | + | 628.756i | −0.140166 | + | 0.466598i | ||||
\(123\) | −552.718 | − | 552.718i | −0.405178 | − | 0.405178i | ||||
\(124\) | −828.695 | + | 1254.85i | −0.600153 | + | 0.908780i | ||||
\(125\) | 162.982 | − | 1388.01i | 0.116621 | − | 0.993177i | ||||
\(126\) | 832.282 | − | 447.758i | 0.588457 | − | 0.316583i | ||||
\(127\) | −619.456 | + | 619.456i | −0.432818 | + | 0.432818i | −0.889586 | − | 0.456768i | \(-0.849007\pi\) |
0.456768 | + | 0.889586i | \(0.349007\pi\) | |||||||
\(128\) | 1289.83 | + | 658.392i | 0.890674 | + | 0.454642i | ||||
\(129\) | − | 244.712i | − | 0.167021i | ||||||
\(130\) | 107.780 | − | 52.6782i | 0.0727150 | − | 0.0355399i | ||||
\(131\) | − | 1620.12i | − | 1.08054i | −0.841491 | − | 0.540270i | \(-0.818322\pi\) | ||
0.841491 | − | 0.540270i | \(-0.181678\pi\) | |||||||
\(132\) | 214.056 | − | 43.7815i | 0.141145 | − | 0.0288689i | ||||
\(133\) | −2414.43 | + | 2414.43i | −1.57412 | + | 1.57412i | ||||
\(134\) | 65.8397 | + | 122.381i | 0.0424454 | + | 0.0788965i | ||||
\(135\) | 1132.55 | + | 1224.43i | 0.722034 | + | 0.780611i | ||||
\(136\) | −644.950 | − | 58.2504i | −0.406647 | − | 0.0367274i | ||||
\(137\) | 825.076 | + | 825.076i | 0.514533 | + | 0.514533i | 0.915912 | − | 0.401379i | \(-0.131469\pi\) |
−0.401379 | + | 0.915912i | \(0.631469\pi\) | |||||||
\(138\) | −1007.72 | − | 302.718i | −0.621613 | − | 0.186733i | ||||
\(139\) | 1264.21 | 0.771430 | 0.385715 | − | 0.922618i | \(-0.373955\pi\) | ||||
0.385715 | + | 0.922618i | \(0.373955\pi\) | |||||||
\(140\) | −364.462 | − | 2219.06i | −0.220019 | − | 1.33961i | ||||
\(141\) | −993.387 | −0.593321 | ||||||||
\(142\) | −1664.86 | − | 500.123i | −0.983885 | − | 0.295559i | ||||
\(143\) | −19.7858 | − | 19.7858i | −0.0115704 | − | 0.0115704i | ||||
\(144\) | 782.244 | − | 333.961i | 0.452688 | − | 0.193264i | ||||
\(145\) | 383.072 | + | 14.9329i | 0.219396 | + | 0.00855247i | ||||
\(146\) | −70.9487 | − | 131.878i | −0.0402175 | − | 0.0747553i | ||||
\(147\) | 757.016 | − | 757.016i | 0.424746 | − | 0.424746i | ||||
\(148\) | −568.312 | − | 2778.58i | −0.315642 | − | 1.54323i | ||||
\(149\) | − | 1351.49i | − | 0.743079i | −0.928417 | − | 0.371539i | \(-0.878830\pi\) | ||
0.928417 | − | 0.371539i | \(-0.121170\pi\) | |||||||
\(150\) | 1197.64 | − | 528.598i | 0.651915 | − | 0.287732i | ||||
\(151\) | − | 2325.64i | − | 1.25336i | −0.779275 | − | 0.626682i | \(-0.784412\pi\) | ||
0.779275 | − | 0.626682i | \(-0.215588\pi\) | |||||||
\(152\) | −2359.57 | + | 1968.66i | −1.25912 | + | 1.05052i | ||||
\(153\) | −268.943 | + | 268.943i | −0.142109 | + | 0.142109i | ||||
\(154\) | −461.918 | + | 248.507i | −0.241704 | + | 0.130034i | ||||
\(155\) | 2100.01 | + | 81.8626i | 1.08824 | + | 0.0424217i | ||||
\(156\) | 93.7712 | + | 61.9260i | 0.0481263 | + | 0.0317823i | ||||
\(157\) | 162.486 | + | 162.486i | 0.0825976 | + | 0.0825976i | 0.747199 | − | 0.664601i | \(-0.231398\pi\) |
−0.664601 | + | 0.747199i | \(0.731398\pi\) | |||||||
\(158\) | −816.105 | + | 2716.73i | −0.410923 | + | 1.36792i | ||||
\(159\) | −390.503 | −0.194773 | ||||||||
\(160\) | −147.035 | − | 2018.51i | −0.0726509 | − | 0.997357i | ||||
\(161\) | 2526.03 | 1.23651 | ||||||||
\(162\) | −157.502 | + | 524.307i | −0.0763859 | + | 0.254281i | ||||
\(163\) | 932.441 | + | 932.441i | 0.448064 | + | 0.448064i | 0.894710 | − | 0.446647i | \(-0.147382\pi\) |
−0.446647 | + | 0.894710i | \(0.647382\pi\) | |||||||
\(164\) | 1409.26 | + | 930.670i | 0.671006 | + | 0.443129i | ||||
\(165\) | −207.337 | − | 224.158i | −0.0978255 | − | 0.105762i | ||||
\(166\) | −1490.72 | + | 801.990i | −0.697002 | + | 0.374979i | ||||
\(167\) | 976.461 | − | 976.461i | 0.452460 | − | 0.452460i | −0.443710 | − | 0.896170i | \(-0.646338\pi\) |
0.896170 | + | 0.443710i | \(0.146338\pi\) | |||||||
\(168\) | 1617.46 | − | 1349.49i | 0.742798 | − | 0.619737i | ||||
\(169\) | 2182.61i | 0.993449i | ||||||||
\(170\) | 397.404 | + | 813.093i | 0.179291 | + | 0.366831i | ||||
\(171\) | 1804.87i | 0.807143i | ||||||||
\(172\) | 105.947 | + | 517.995i | 0.0469674 | + | 0.229632i | ||||
\(173\) | 761.698 | − | 761.698i | 0.334745 | − | 0.334745i | −0.519640 | − | 0.854385i | \(-0.673934\pi\) |
0.854385 | + | 0.519640i | \(0.173934\pi\) | |||||||
\(174\) | 170.135 | + | 316.244i | 0.0741260 | + | 0.137784i | ||||
\(175\) | −2388.54 | + | 2042.54i | −1.03175 | + | 0.882296i | ||||
\(176\) | −434.148 | + | 185.349i | −0.185938 | + | 0.0793818i | ||||
\(177\) | −264.628 | − | 264.628i | −0.112376 | − | 0.112376i | ||||
\(178\) | −2842.61 | − | 853.921i | −1.19698 | − | 0.359574i | ||||
\(179\) | −4003.32 | −1.67163 | −0.835816 | − | 0.549009i | \(-0.815005\pi\) | ||||
−0.835816 | + | 0.549009i | \(0.815005\pi\) | |||||||
\(180\) | −965.635 | − | 693.188i | −0.399857 | − | 0.287040i | ||||
\(181\) | −1950.00 | −0.800785 | −0.400392 | − | 0.916344i | \(-0.631126\pi\) | ||||
−0.400392 | + | 0.916344i | \(0.631126\pi\) | |||||||
\(182\) | −258.370 | − | 77.6144i | −0.105229 | − | 0.0316108i | ||||
\(183\) | 607.721 | + | 607.721i | 0.245487 | + | 0.245487i | ||||
\(184\) | 2264.15 | + | 204.493i | 0.907147 | + | 0.0819315i | ||||
\(185\) | −2909.72 | + | 2691.38i | −1.15636 | + | 1.06959i | ||||
\(186\) | 932.688 | + | 1733.66i | 0.367677 | + | 0.683430i | ||||
\(187\) | 149.264 | − | 149.264i | 0.0583704 | − | 0.0583704i | ||||
\(188\) | 2102.75 | − | 430.083i | 0.815740 | − | 0.166846i | ||||
\(189\) | − | 3750.78i | − | 1.44354i | ||||||
\(190\) | 4061.80 | + | 1394.83i | 1.55091 | + | 0.532589i | ||||
\(191\) | − | 1458.80i | − | 0.552644i | −0.961065 | − | 0.276322i | \(-0.910884\pi\) | ||
0.961065 | − | 0.276322i | \(-0.0891156\pi\) | |||||||
\(192\) | 1559.02 | − | 1078.65i | 0.586004 | − | 0.405441i | ||||
\(193\) | 2264.70 | − | 2264.70i | 0.844647 | − | 0.844647i | −0.144812 | − | 0.989459i | \(-0.546258\pi\) |
0.989459 | + | 0.144812i | \(0.0462577\pi\) | |||||||
\(194\) | 1889.96 | − | 1016.77i | 0.699438 | − | 0.376289i | ||||
\(195\) | 6.11736 | − | 156.928i | 0.00224653 | − | 0.0576300i | ||||
\(196\) | −1274.67 | + | 1930.16i | −0.464529 | + | 0.703411i | ||||
\(197\) | 2092.70 | + | 2092.70i | 0.756845 | + | 0.756845i | 0.975747 | − | 0.218902i | \(-0.0702474\pi\) |
−0.218902 | + | 0.975747i | \(0.570247\pi\) | |||||||
\(198\) | −79.7662 | + | 265.533i | −0.0286300 | + | 0.0953062i | ||||
\(199\) | −2087.70 | −0.743683 | −0.371842 | − | 0.928296i | \(-0.621274\pi\) | ||||
−0.371842 | + | 0.928296i | \(0.621274\pi\) | |||||||
\(200\) | −2306.26 | + | 1637.43i | −0.815386 | + | 0.578917i | ||||
\(201\) | 181.924 | 0.0638405 | ||||||||
\(202\) | 1152.09 | − | 3835.19i | 0.401291 | − | 1.33586i | ||||
\(203\) | −609.599 | − | 609.599i | −0.210766 | − | 0.210766i | ||||
\(204\) | −467.169 | + | 707.409i | −0.160335 | + | 0.242787i | ||||
\(205\) | 91.9363 | − | 2358.43i | 0.0313225 | − | 0.803512i | ||||
\(206\) | 1003.65 | − | 539.954i | 0.339456 | − | 0.182623i | ||||
\(207\) | 944.145 | − | 944.145i | 0.317018 | − | 0.317018i | ||||
\(208\) | −225.301 | − | 90.4840i | −0.0751048 | − | 0.0301632i | ||||
\(209\) | − | 1001.70i | − | 0.331528i | ||||||
\(210\) | −2784.32 | − | 956.145i | −0.914935 | − | 0.314192i | ||||
\(211\) | 199.597i | 0.0651223i | 0.999470 | + | 0.0325611i | \(0.0103664\pi\) | ||||
−0.999470 | + | 0.0325611i | \(0.989634\pi\) | |||||||
\(212\) | 826.598 | − | 169.067i | 0.267788 | − | 0.0547714i | ||||
\(213\) | −1609.16 | + | 1609.16i | −0.517642 | + | 0.517642i | ||||
\(214\) | −879.926 | − | 1635.59i | −0.281077 | − | 0.522460i | ||||
\(215\) | 542.442 | − | 501.738i | 0.172066 | − | 0.159155i | ||||
\(216\) | 303.641 | − | 3361.92i | 0.0956489 | − | 1.05903i | ||||
\(217\) | −3341.84 | − | 3341.84i | −1.04543 | − | 1.04543i | ||||
\(218\) | 1729.23 | + | 519.461i | 0.537240 | + | 0.161387i | ||||
\(219\) | −196.041 | −0.0604896 | ||||||||
\(220\) | 535.930 | + | 384.721i | 0.164238 | + | 0.117899i | ||||
\(221\) | 108.570 | 0.0330461 | ||||||||
\(222\) | −3555.80 | − | 1068.16i | −1.07500 | − | 0.322930i | ||||
\(223\) | 3340.24 | + | 3340.24i | 1.00304 | + | 1.00304i | 0.999995 | + | 0.00304854i | \(0.000970381\pi\) |
0.00304854 | + | 0.999995i | \(0.499030\pi\) | |||||||
\(224\) | −2839.51 | + | 3556.82i | −0.846976 | + | 1.06094i | ||||
\(225\) | −129.320 | + | 1656.19i | −0.0383169 | + | 0.490723i | ||||
\(226\) | 1898.59 | + | 3529.06i | 0.558816 | + | 1.03871i | ||||
\(227\) | 824.316 | − | 824.316i | 0.241021 | − | 0.241021i | −0.576251 | − | 0.817272i | \(-0.695485\pi\) |
0.817272 | + | 0.576251i | \(0.195485\pi\) | |||||||
\(228\) | 806.121 | + | 3941.27i | 0.234152 | + | 1.14481i | ||||
\(229\) | 4512.23i | 1.30208i | 0.759043 | + | 0.651041i | \(0.225667\pi\) | ||||
−0.759043 | + | 0.651041i | \(0.774333\pi\) | |||||||
\(230\) | −1395.12 | − | 2854.42i | −0.399962 | − | 0.818327i | ||||
\(231\) | 686.658i | 0.195579i | ||||||||
\(232\) | −497.050 | − | 595.749i | −0.140659 | − | 0.168590i | ||||
\(233\) | −292.574 | + | 292.574i | −0.0822625 | + | 0.0822625i | −0.747041 | − | 0.664778i | \(-0.768526\pi\) |
0.664778 | + | 0.747041i | \(0.268526\pi\) | |||||||
\(234\) | −125.580 | + | 67.5605i | −0.0350829 | + | 0.0188742i | ||||
\(235\) | −2036.76 | − | 2201.99i | −0.565376 | − | 0.611243i | ||||
\(236\) | 674.720 | + | 445.581i | 0.186104 | + | 0.122902i | ||||
\(237\) | 2625.84 | + | 2625.84i | 0.719690 | + | 0.719690i | ||||
\(238\) | 585.522 | − | 1949.14i | 0.159470 | − | 0.530858i | ||||
\(239\) | 2925.20 | 0.791696 | 0.395848 | − | 0.918316i | \(-0.370451\pi\) | ||||
0.395848 | + | 0.918316i | \(0.370451\pi\) | |||||||
\(240\) | −2418.26 | − | 1082.42i | −0.650407 | − | 0.291125i | ||||
\(241\) | 4259.40 | 1.13847 | 0.569236 | − | 0.822174i | \(-0.307239\pi\) | ||||
0.569236 | + | 0.822174i | \(0.307239\pi\) | |||||||
\(242\) | −1038.81 | + | 3458.10i | −0.275940 | + | 0.918574i | ||||
\(243\) | −2341.40 | − | 2341.40i | −0.618111 | − | 0.618111i | ||||
\(244\) | −1549.50 | − | 1023.28i | −0.406544 | − | 0.268480i | ||||
\(245\) | 3230.16 | + | 125.918i | 0.842316 | + | 0.0328351i | ||||
\(246\) | 1947.00 | − | 1047.46i | 0.504617 | − | 0.271478i | ||||
\(247\) | 364.304 | − | 364.304i | 0.0938465 | − | 0.0938465i | ||||
\(248\) | −2724.85 | − | 3265.92i | −0.697694 | − | 0.836235i | ||||
\(249\) | 2216.01i | 0.563991i | ||||||||
\(250\) | 3627.27 | + | 1570.97i | 0.917634 | + | 0.397426i | ||||
\(251\) | 5268.72i | 1.32493i | 0.749091 | + | 0.662467i | \(0.230491\pi\) | ||||
−0.749091 | + | 0.662467i | \(0.769509\pi\) | |||||||
\(252\) | 535.647 | + | 2618.88i | 0.133899 | + | 0.654658i | ||||
\(253\) | −524.003 | + | 524.003i | −0.130213 | + | 0.130213i | ||||
\(254\) | −1173.94 | − | 2182.08i | −0.289997 | − | 0.539040i | ||||
\(255\) | 1183.86 | + | 46.1493i | 0.290731 | + | 0.0113333i | ||||
\(256\) | −2833.07 | + | 2958.20i | −0.691667 | + | 0.722217i | ||||
\(257\) | −5635.08 | − | 5635.08i | −1.36773 | − | 1.36773i | −0.863668 | − | 0.504061i | \(-0.831839\pi\) |
−0.504061 | − | 0.863668i | \(-0.668161\pi\) | |||||||
\(258\) | 662.888 | + | 199.132i | 0.159960 | + | 0.0480519i | ||||
\(259\) | 8913.27 | 2.13839 | ||||||||
\(260\) | 54.9923 | + | 334.826i | 0.0131172 | + | 0.0798654i | ||||
\(261\) | −455.696 | −0.108072 | ||||||||
\(262\) | 4388.66 | + | 1318.35i | 1.03486 | + | 0.310871i | ||||
\(263\) | −2721.99 | − | 2721.99i | −0.638195 | − | 0.638195i | 0.311915 | − | 0.950110i | \(-0.399030\pi\) |
−0.950110 | + | 0.311915i | \(0.899030\pi\) | |||||||
\(264\) | −55.5878 | + | 615.470i | −0.0129591 | + | 0.143483i | ||||
\(265\) | −800.655 | − | 865.609i | −0.185599 | − | 0.200656i | ||||
\(266\) | −4575.60 | − | 8505.01i | −1.05469 | − | 1.96044i | ||||
\(267\) | −2747.51 | + | 2747.51i | −0.629757 | + | 0.629757i | ||||
\(268\) | −385.088 | + | 78.7632i | −0.0877723 | + | 0.0179523i | ||||
\(269\) | − | 603.964i | − | 0.136893i | −0.997655 | − | 0.0684467i | \(-0.978196\pi\) | ||
0.997655 | − | 0.0684467i | \(-0.0218043\pi\) | |||||||
\(270\) | −4238.40 | + | 2071.54i | −0.955336 | + | 0.466926i | ||||
\(271\) | − | 4232.24i | − | 0.948672i | −0.880344 | − | 0.474336i | \(-0.842688\pi\) | ||
0.880344 | − | 0.474336i | \(-0.157312\pi\) | |||||||
\(272\) | 682.611 | − | 1699.67i | 0.152167 | − | 0.378888i | ||||
\(273\) | −249.726 | + | 249.726i | −0.0553631 | + | 0.0553631i | ||||
\(274\) | −2906.40 | + | 1563.61i | −0.640810 | + | 0.344748i | ||||
\(275\) | 71.7727 | − | 919.189i | 0.0157384 | − | 0.201561i | ||||
\(276\) | 1640.03 | − | 2483.41i | 0.357675 | − | 0.541609i | ||||
\(277\) | 3214.07 | + | 3214.07i | 0.697165 | + | 0.697165i | 0.963798 | − | 0.266633i | \(-0.0859113\pi\) |
−0.266633 | + | 0.963798i | \(0.585911\pi\) | |||||||
\(278\) | −1028.73 | + | 3424.54i | −0.221940 | + | 0.738815i | ||||
\(279\) | −2498.14 | −0.536056 | ||||||||
\(280\) | 6307.67 | + | 818.461i | 1.34627 | + | 0.174687i | ||||
\(281\) | −7574.78 | −1.60809 | −0.804046 | − | 0.594567i | \(-0.797323\pi\) | ||||
−0.804046 | + | 0.594567i | \(0.797323\pi\) | |||||||
\(282\) | 808.356 | − | 2690.93i | 0.170698 | − | 0.568236i | ||||
\(283\) | −504.094 | − | 504.094i | −0.105884 | − | 0.105884i | 0.652180 | − | 0.758064i | \(-0.273855\pi\) |
−0.758064 | + | 0.652180i | \(0.773855\pi\) | |||||||
\(284\) | 2709.51 | − | 4102.87i | 0.566126 | − | 0.857255i | ||||
\(285\) | 4127.28 | − | 3817.58i | 0.857821 | − | 0.793451i | ||||
\(286\) | 69.6971 | − | 37.4962i | 0.0144101 | − | 0.00775244i | ||||
\(287\) | −3753.08 | + | 3753.08i | −0.771906 | + | 0.771906i | ||||
\(288\) | 268.106 | + | 2390.73i | 0.0548552 | + | 0.489150i | ||||
\(289\) | − | 4093.95i | − | 0.833289i | ||||||
\(290\) | −352.170 | + | 1025.53i | −0.0713109 | + | 0.207659i | ||||
\(291\) | − | 2809.49i | − | 0.565962i | ||||||
\(292\) | 414.970 | − | 84.8750i | 0.0831653 | − | 0.0170101i | ||||
\(293\) | −244.144 | + | 244.144i | −0.0486793 | + | 0.0486793i | −0.731027 | − | 0.682348i | \(-0.760959\pi\) |
0.682348 | + | 0.731027i | \(0.260959\pi\) | |||||||
\(294\) | 1434.63 | + | 2666.65i | 0.284589 | + | 0.528987i | ||||
\(295\) | 44.0167 | − | 1129.16i | 0.00868730 | − | 0.222854i | ||||
\(296\) | 7989.20 | + | 721.566i | 1.56879 | + | 0.141690i | ||||
\(297\) | 778.066 | + | 778.066i | 0.152013 | + | 0.152013i | ||||
\(298\) | 3660.99 | + | 1099.76i | 0.711662 | + | 0.213783i | ||||
\(299\) | −381.143 | −0.0737192 | ||||||||
\(300\) | 457.323 | + | 3674.37i | 0.0880118 | + | 0.707133i | ||||
\(301\) | −1661.65 | −0.318192 | ||||||||
\(302\) | 6299.80 | + | 1892.46i | 1.20037 | + | 0.360592i | ||||
\(303\) | −3706.88 | − | 3706.88i | −0.702822 | − | 0.702822i | ||||
\(304\) | −3412.71 | − | 7993.69i | −0.643857 | − | 1.50812i | ||||
\(305\) | −101.085 | + | 2593.13i | −0.0189774 | + | 0.486826i | ||||
\(306\) | −509.676 | − | 947.373i | −0.0952164 | − | 0.176986i | ||||
\(307\) | −6853.22 | + | 6853.22i | −1.27405 | + | 1.27405i | −0.330110 | + | 0.943942i | \(0.607086\pi\) |
−0.943942 | + | 0.330110i | \(0.892914\pi\) | |||||||
\(308\) | −297.286 | − | 1453.48i | −0.0549981 | − | 0.268896i | ||||
\(309\) | − | 1491.97i | − | 0.274676i | ||||||
\(310\) | −1930.61 | + | 5621.99i | −0.353714 | + | 1.03002i | ||||
\(311\) | 10802.7i | 1.96966i | 0.173510 | + | 0.984832i | \(0.444489\pi\) | ||||
−0.173510 | + | 0.984832i | \(0.555511\pi\) | |||||||
\(312\) | −244.053 | + | 203.620i | −0.0442845 | + | 0.0369478i | ||||
\(313\) | 2618.43 | − | 2618.43i | 0.472851 | − | 0.472851i | −0.429985 | − | 0.902836i | \(-0.641481\pi\) |
0.902836 | + | 0.429985i | \(0.141481\pi\) | |||||||
\(314\) | −572.372 | + | 307.929i | −0.102869 | + | 0.0553422i | ||||
\(315\) | 2742.48 | − | 2536.68i | 0.490543 | − | 0.453733i | ||||
\(316\) | −6695.09 | − | 4421.40i | −1.19186 | − | 0.787098i | ||||
\(317\) | 3652.64 | + | 3652.64i | 0.647170 | + | 0.647170i | 0.952308 | − | 0.305138i | \(-0.0987027\pi\) |
−0.305138 | + | 0.952308i | \(0.598703\pi\) | |||||||
\(318\) | 317.767 | − | 1057.81i | 0.0560361 | − | 0.186538i | ||||
\(319\) | 252.912 | 0.0443898 | ||||||||
\(320\) | 5587.47 | + | 1244.24i | 0.976092 | + | 0.217360i | ||||
\(321\) | −2431.36 | −0.422757 | ||||||||
\(322\) | −2055.52 | + | 6842.61i | −0.355745 | + | 1.18424i | ||||
\(323\) | 2748.30 | + | 2748.30i | 0.473436 | + | 0.473436i | ||||
\(324\) | −1292.10 | − | 853.296i | −0.221554 | − | 0.146313i | ||||
\(325\) | 360.397 | − | 308.192i | 0.0615115 | − | 0.0526012i | ||||
\(326\) | −3284.60 | + | 1767.07i | −0.558028 | + | 0.300212i | ||||
\(327\) | 1671.38 | − | 1671.38i | 0.282653 | − | 0.282653i | ||||
\(328\) | −3667.81 | + | 3060.16i | −0.617442 | + | 0.515149i | ||||
\(329\) | 6745.31i | 1.13034i | ||||||||
\(330\) | 775.927 | − | 379.239i | 0.129434 | − | 0.0632619i | ||||
\(331\) | − | 7839.91i | − | 1.30187i | −0.759131 | − | 0.650937i | \(-0.774376\pi\) | ||
0.759131 | − | 0.650937i | \(-0.225624\pi\) | |||||||
\(332\) | −959.411 | − | 4690.74i | −0.158598 | − | 0.775415i | ||||
\(333\) | 3331.48 | − | 3331.48i | 0.548241 | − | 0.548241i | ||||
\(334\) | 1850.50 | + | 3439.66i | 0.303158 | + | 0.563503i | ||||
\(335\) | 373.002 | + | 403.262i | 0.0608336 | + | 0.0657688i | ||||
\(336\) | 2339.38 | + | 5479.59i | 0.379832 | + | 0.889691i | ||||
\(337\) | −4503.23 | − | 4503.23i | −0.727912 | − | 0.727912i | 0.242291 | − | 0.970204i | \(-0.422101\pi\) |
−0.970204 | + | 0.242291i | \(0.922101\pi\) | |||||||
\(338\) | −5912.34 | − | 1776.07i | −0.951447 | − | 0.285815i | ||||
\(339\) | 5246.07 | 0.840494 | ||||||||
\(340\) | −2525.92 | + | 414.862i | −0.402904 | + | 0.0661736i | ||||
\(341\) | 1386.47 | 0.220181 | ||||||||
\(342\) | −4889.10 | − | 1468.69i | −0.773018 | − | 0.232215i | ||||
\(343\) | 957.648 | + | 957.648i | 0.150753 | + | 0.150753i | ||||
\(344\) | −1489.38 | − | 134.517i | −0.233436 | − | 0.0210834i | ||||
\(345\) | −4156.04 | − | 162.011i | −0.648562 | − | 0.0252822i | ||||
\(346\) | 1443.50 | + | 2683.14i | 0.224286 | + | 0.416898i | ||||
\(347\) | 8458.77 | − | 8458.77i | 1.30862 | − | 1.30862i | 0.386205 | − | 0.922413i | \(-0.373786\pi\) |
0.922413 | − | 0.386205i | \(-0.126214\pi\) | |||||||
\(348\) | −995.100 | + | 203.531i | −0.153284 | + | 0.0313517i | ||||
\(349\) | 5515.41i | 0.845941i | 0.906144 | + | 0.422970i | \(0.139013\pi\) | ||||
−0.906144 | + | 0.422970i | \(0.860987\pi\) | |||||||
\(350\) | −3589.30 | − | 8132.26i | −0.548160 | − | 1.24196i | ||||
\(351\) | 565.940i | 0.0860617i | ||||||||
\(352\) | −148.799 | − | 1326.86i | −0.0225314 | − | 0.200915i | ||||
\(353\) | −761.447 | + | 761.447i | −0.114810 | + | 0.114810i | −0.762178 | − | 0.647368i | \(-0.775870\pi\) |
0.647368 | + | 0.762178i | \(0.275870\pi\) | |||||||
\(354\) | 932.172 | − | 501.497i | 0.139956 | − | 0.0752946i | ||||
\(355\) | −6866.23 | − | 267.659i | −1.02654 | − | 0.0400165i | ||||
\(356\) | 4626.28 | − | 7005.33i | 0.688742 | − | 1.04293i | ||||
\(357\) | −1883.93 | − | 1883.93i | −0.279295 | − | 0.279295i | ||||
\(358\) | 3257.65 | − | 10844.4i | 0.480928 | − | 1.60096i | ||||
\(359\) | 3564.71 | 0.524062 | 0.262031 | − | 0.965059i | \(-0.415608\pi\) | ||||
0.262031 | + | 0.965059i | \(0.415608\pi\) | |||||||
\(360\) | 2663.51 | − | 2051.68i | 0.389942 | − | 0.300370i | ||||
\(361\) | 11584.8 | 1.68899 | ||||||||
\(362\) | 1586.78 | − | 5282.23i | 0.230385 | − | 0.766928i | ||||
\(363\) | 3342.41 | + | 3342.41i | 0.483281 | + | 0.483281i | ||||
\(364\) | 420.491 | − | 636.726i | 0.0605486 | − | 0.0916855i | ||||
\(365\) | −401.946 | − | 434.554i | −0.0576405 | − | 0.0623167i | ||||
\(366\) | −2140.75 | + | 1151.70i | −0.305734 | + | 0.164481i | ||||
\(367\) | 4407.82 | − | 4407.82i | 0.626939 | − | 0.626939i | −0.320358 | − | 0.947297i | \(-0.603803\pi\) |
0.947297 | + | 0.320358i | \(0.103803\pi\) | |||||||
\(368\) | −2396.36 | + | 5966.81i | −0.339453 | + | 0.845222i | ||||
\(369\) | 2805.55i | 0.395802i | ||||||||
\(370\) | −4922.77 | − | 10072.0i | −0.691683 | − | 1.41519i | ||||
\(371\) | 2651.60i | 0.371063i | ||||||||
\(372\) | −5455.17 | + | 1115.76i | −0.760316 | + | 0.155510i | ||||
\(373\) | −8371.19 | + | 8371.19i | −1.16205 | + | 1.16205i | −0.178021 | + | 0.984027i | \(0.556970\pi\) |
−0.984027 | + | 0.178021i | \(0.943030\pi\) | |||||||
\(374\) | 282.871 | + | 525.794i | 0.0391094 | + | 0.0726957i | ||||
\(375\) | 4060.83 | − | 3207.38i | 0.559201 | − | 0.441676i | ||||
\(376\) | −546.061 | + | 6046.00i | −0.0748962 | + | 0.829252i | ||||
\(377\) | 91.9800 | + | 91.9800i | 0.0125656 | + | 0.0125656i | ||||
\(378\) | 10160.3 | + | 3052.15i | 1.38251 | + | 0.415305i | ||||
\(379\) | −11130.1 | −1.50848 | −0.754240 | − | 0.656599i | \(-0.771994\pi\) | ||||
−0.754240 | + | 0.656599i | \(0.771994\pi\) | |||||||
\(380\) | −7083.62 | + | 9867.74i | −0.956269 | + | 1.33212i | ||||
\(381\) | −3243.75 | −0.436174 | ||||||||
\(382\) | 3951.66 | + | 1187.08i | 0.529279 | + | 0.158995i | ||||
\(383\) | 1006.62 | + | 1006.62i | 0.134297 | + | 0.134297i | 0.771060 | − | 0.636763i | \(-0.219727\pi\) |
−0.636763 | + | 0.771060i | \(0.719727\pi\) | |||||||
\(384\) | 1653.25 | + | 5100.88i | 0.219706 | + | 0.677873i | ||||
\(385\) | −1522.08 | + | 1407.87i | −0.201487 | + | 0.186367i | ||||
\(386\) | 4291.85 | + | 7977.60i | 0.565932 | + | 1.05194i | ||||
\(387\) | −621.069 | + | 621.069i | −0.0815781 | + | 0.0815781i | ||||
\(388\) | 1216.35 | + | 5946.98i | 0.159152 | + | 0.778124i | ||||
\(389\) | − | 13548.4i | − | 1.76589i | −0.469478 | − | 0.882944i | \(-0.655558\pi\) | ||
0.469478 | − | 0.882944i | \(-0.344442\pi\) | |||||||
\(390\) | 420.115 | + | 144.269i | 0.0545471 | + | 0.0187317i | ||||
\(391\) | − | 2875.34i | − | 0.371898i | ||||||
\(392\) | −4191.26 | − | 5023.52i | −0.540027 | − | 0.647260i | ||||
\(393\) | 4241.84 | − | 4241.84i | 0.544459 | − | 0.544459i | ||||
\(394\) | −7371.69 | + | 3965.88i | −0.942590 | + | 0.507102i | ||||
\(395\) | −436.768 | + | 11204.4i | −0.0556359 | + | 1.42722i | ||||
\(396\) | −654.379 | − | 432.148i | −0.0830399 | − | 0.0548391i | ||||
\(397\) | 1822.81 | + | 1822.81i | 0.230439 | + | 0.230439i | 0.812876 | − | 0.582437i | \(-0.197901\pi\) |
−0.582437 | + | 0.812876i | \(0.697901\pi\) | |||||||
\(398\) | 1698.84 | − | 5655.25i | 0.213957 | − | 0.712241i | ||||
\(399\) | −12643.0 | −1.58632 | ||||||||
\(400\) | −2558.84 | − | 7579.73i | −0.319855 | − | 0.947466i | ||||
\(401\) | 5922.04 | 0.737488 | 0.368744 | − | 0.929531i | \(-0.379788\pi\) | ||||
0.368744 | + | 0.929531i | \(0.379788\pi\) | |||||||
\(402\) | −148.038 | + | 492.804i | −0.0183669 | + | 0.0611413i | ||||
\(403\) | 504.238 | + | 504.238i | 0.0623273 | + | 0.0623273i | ||||
\(404\) | 9451.43 | + | 6241.67i | 1.16393 | + | 0.768650i | ||||
\(405\) | −84.2929 | + | 2162.36i | −0.0103421 | + | 0.265305i | ||||
\(406\) | 2147.36 | − | 1155.25i | 0.262492 | − | 0.141218i | ||||
\(407\) | −1848.98 | + | 1848.98i | −0.225186 | + | 0.225186i | ||||
\(408\) | −1536.11 | − | 1841.13i | −0.186394 | − | 0.223406i | ||||
\(409\) | − | 8533.05i | − | 1.03162i | −0.856703 | − | 0.515809i | \(-0.827491\pi\) | ||
0.856703 | − | 0.515809i | \(-0.172509\pi\) | |||||||
\(410\) | 6313.81 | + | 2168.18i | 0.760529 | + | 0.261168i | ||||
\(411\) | 4320.46i | 0.518522i | ||||||||
\(412\) | 645.940 | + | 3158.12i | 0.0772408 | + | 0.377644i | ||||
\(413\) | −1796.88 | + | 1796.88i | −0.214088 | + | 0.214088i | ||||
\(414\) | 1789.26 | + | 3325.83i | 0.212408 | + | 0.394820i | ||||
\(415\) | −4912.12 | + | 4543.52i | −0.581027 | + | 0.537428i | ||||
\(416\) | 428.443 | − | 536.674i | 0.0504955 | − | 0.0632515i | ||||
\(417\) | 3309.98 | + | 3309.98i | 0.388706 | + | 0.388706i | ||||
\(418\) | 2713.46 | + | 815.124i | 0.317511 | + | 0.0953804i | ||||
\(419\) | −7128.02 | −0.831089 | −0.415545 | − | 0.909573i | \(-0.636409\pi\) | ||||
−0.415545 | + | 0.909573i | \(0.636409\pi\) | |||||||
\(420\) | 4855.75 | − | 6764.24i | 0.564134 | − | 0.785859i | ||||
\(421\) | −611.239 | −0.0707601 | −0.0353800 | − | 0.999374i | \(-0.511264\pi\) | ||||
−0.0353800 | + | 0.999374i | \(0.511264\pi\) | |||||||
\(422\) | −540.676 | − | 162.419i | −0.0623690 | − | 0.0187356i | ||||
\(423\) | 2521.17 | + | 2521.17i | 0.289796 | + | 0.289796i | ||||
\(424\) | −214.658 | + | 2376.70i | −0.0245866 | + | 0.272223i | ||||
\(425\) | 2325.00 | + | 2718.83i | 0.265362 | + | 0.310312i | ||||
\(426\) | −3049.53 | − | 5668.39i | −0.346831 | − | 0.644682i | ||||
\(427\) | 4126.56 | − | 4126.56i | 0.467677 | − | 0.467677i | ||||
\(428\) | 5146.58 | − | 1052.65i | 0.581236 | − | 0.118882i | ||||
\(429\) | − | 103.607i | − | 0.0116601i | ||||||
\(430\) | 917.724 | + | 1877.67i | 0.102922 | + | 0.210580i | ||||
\(431\) | − | 9361.72i | − | 1.04626i | −0.852253 | − | 0.523130i | \(-0.824764\pi\) | ||
0.852253 | − | 0.523130i | \(-0.175236\pi\) | |||||||
\(432\) | 8859.84 | + | 3558.24i | 0.986734 | + | 0.396286i | ||||
\(433\) | −1769.48 | + | 1769.48i | −0.196388 | + | 0.196388i | −0.798450 | − | 0.602062i | \(-0.794346\pi\) |
0.602062 | + | 0.798450i | \(0.294346\pi\) | |||||||
\(434\) | 11771.9 | − | 6333.15i | 1.30200 | − | 0.700463i | ||||
\(435\) | 963.868 | + | 1042.06i | 0.106239 | + | 0.114858i | ||||
\(436\) | −2814.28 | + | 4261.51i | −0.309127 | + | 0.468095i | ||||
\(437\) | −9648.13 | − | 9648.13i | −1.05614 | − | 1.05614i | ||||
\(438\) | 159.526 | − | 531.044i | 0.0174028 | − | 0.0579321i | ||||
\(439\) | 7823.34 | 0.850541 | 0.425271 | − | 0.905066i | \(-0.360179\pi\) | ||||
0.425271 | + | 0.905066i | \(0.360179\pi\) | |||||||
\(440\) | −1478.25 | + | 1138.69i | −0.160166 | + | 0.123375i | ||||
\(441\) | −3842.54 | −0.414917 | ||||||||
\(442\) | −88.3472 | + | 294.099i | −0.00950735 | + | 0.0316490i | ||||
\(443\) | −9066.48 | − | 9066.48i | −0.972374 | − | 0.972374i | 0.0272545 | − | 0.999629i | \(-0.491324\pi\) |
−0.999629 | + | 0.0272545i | \(0.991324\pi\) | |||||||
\(444\) | 5786.97 | − | 8762.91i | 0.618553 | − | 0.936642i | ||||
\(445\) | −11723.5 | − | 457.007i | −1.24888 | − | 0.0486836i | ||||
\(446\) | −11766.3 | + | 6330.10i | −1.24921 | + | 0.672061i | ||||
\(447\) | 3538.51 | − | 3538.51i | 0.374420 | − | 0.374420i | ||||
\(448\) | −7324.25 | − | 10586.1i | −0.772407 | − | 1.11640i | ||||
\(449\) | 3381.93i | 0.355464i | 0.984079 | + | 0.177732i | \(0.0568759\pi\) | ||||
−0.984079 | + | 0.177732i | \(0.943124\pi\) | |||||||
\(450\) | −4381.13 | − | 1698.01i | −0.458952 | − | 0.177878i | ||||
\(451\) | − | 1557.09i | − | 0.162573i | ||||||
\(452\) | −11104.6 | + | 2271.26i | −1.15557 | + | 0.236352i | ||||
\(453\) | 6089.04 | − | 6089.04i | 0.631541 | − | 0.631541i | ||||
\(454\) | 1562.17 | + | 2903.72i | 0.161489 | + | 0.300173i | ||||
\(455\) | −1065.57 | − | 41.5382i | −0.109791 | − | 0.00427987i | ||||
\(456\) | −11332.3 | − | 1023.50i | −1.16378 | − | 0.105110i | ||||
\(457\) | 10289.7 | + | 10289.7i | 1.05324 | + | 1.05324i | 0.998501 | + | 0.0547399i | \(0.0174330\pi\) |
0.0547399 | + | 0.998501i | \(0.482567\pi\) | |||||||
\(458\) | −12222.9 | − | 3671.77i | −1.24703 | − | 0.374608i | ||||
\(459\) | −4269.45 | −0.434163 | ||||||||
\(460\) | 8867.45 | − | 1456.40i | 0.898798 | − | 0.147620i | ||||
\(461\) | −5310.20 | −0.536488 | −0.268244 | − | 0.963351i | \(-0.586443\pi\) | ||||
−0.268244 | + | 0.963351i | \(0.586443\pi\) | |||||||
\(462\) | −1860.05 | − | 558.759i | −0.187310 | − | 0.0562680i | ||||
\(463\) | 7686.78 | + | 7686.78i | 0.771566 | + | 0.771566i | 0.978380 | − | 0.206814i | \(-0.0663096\pi\) |
−0.206814 | + | 0.978380i | \(0.566310\pi\) | |||||||
\(464\) | 2018.26 | − | 861.648i | 0.201930 | − | 0.0862091i | ||||
\(465\) | 5283.96 | + | 5712.63i | 0.526963 | + | 0.569714i | ||||
\(466\) | −554.459 | − | 1030.62i | −0.0551176 | − | 0.102451i | ||||
\(467\) | 4535.99 | − | 4535.99i | 0.449466 | − | 0.449466i | −0.445711 | − | 0.895177i | \(-0.647049\pi\) |
0.895177 | + | 0.445711i | \(0.147049\pi\) | |||||||
\(468\) | −80.8218 | − | 395.153i | −0.00798288 | − | 0.0390298i | ||||
\(469\) | − | 1235.30i | − | 0.121623i | ||||||
\(470\) | 7622.24 | − | 3725.42i | 0.748059 | − | 0.365618i | ||||
\(471\) | 850.850i | 0.0832380i | ||||||||
\(472\) | −1756.05 | + | 1465.12i | −0.171248 | + | 0.142877i | ||||
\(473\) | 344.695 | − | 344.695i | 0.0335076 | − | 0.0335076i | ||||
\(474\) | −9249.72 | + | 4976.24i | −0.896316 | + | 0.482208i | ||||
\(475\) | 16924.5 | + | 1321.51i | 1.63484 | + | 0.127652i | ||||
\(476\) | 4803.46 | + | 3172.18i | 0.462534 | + | 0.305455i | ||||
\(477\) | 991.080 | + | 991.080i | 0.0951330 | + | 0.0951330i | ||||
\(478\) | −2380.34 | + | 7923.91i | −0.227771 | + | 0.758224i | ||||
\(479\) | 10969.6 | 1.04638 | 0.523189 | − | 0.852217i | \(-0.324742\pi\) | ||||
0.523189 | + | 0.852217i | \(0.324742\pi\) | |||||||
\(480\) | 4899.93 | − | 5669.87i | 0.465938 | − | 0.539152i | ||||
\(481\) | −1344.89 | −0.127488 | ||||||||
\(482\) | −3466.03 | + | 11538.0i | −0.327538 | + | 1.09034i | ||||
\(483\) | 6613.70 | + | 6613.70i | 0.623051 | + | 0.623051i | ||||
\(484\) | −8522.13 | − | 5627.97i | −0.800350 | − | 0.528547i | ||||
\(485\) | 6227.65 | − | 5760.33i | 0.583058 | − | 0.539306i | ||||
\(486\) | 8247.77 | − | 4437.20i | 0.769808 | − | 0.414147i | ||||
\(487\) | −12736.0 | + | 12736.0i | −1.18506 | + | 1.18506i | −0.206646 | + | 0.978416i | \(0.566255\pi\) |
−0.978416 | + | 0.206646i | \(0.933745\pi\) | |||||||
\(488\) | 4032.80 | − | 3364.68i | 0.374091 | − | 0.312115i | ||||
\(489\) | 4882.67i | 0.451538i | ||||||||
\(490\) | −2969.59 | + | 8647.53i | −0.273781 | + | 0.797257i | ||||
\(491\) | − | 10518.6i | − | 0.966796i | −0.875401 | − | 0.483398i | \(-0.839402\pi\) | ||
0.875401 | − | 0.483398i | \(-0.160598\pi\) | |||||||
\(492\) | 1253.06 | + | 6126.46i | 0.114822 | + | 0.561387i | ||||
\(493\) | −693.897 | + | 693.897i | −0.0633905 | + | 0.0633905i | ||||
\(494\) | 690.394 | + | 1283.29i | 0.0628792 | + | 0.116878i | ||||
\(495\) | −42.6898 | + | 1095.12i | −0.00387629 | + | 0.0994380i | ||||
\(496\) | 11064.2 | − | 4723.59i | 1.00161 | − | 0.427612i | ||||
\(497\) | 10926.5 | + | 10926.5i | 0.986161 | + | 0.986161i | ||||
\(498\) | −6002.82 | − | 1803.25i | −0.540146 | − | 0.162260i | ||||
\(499\) | −2445.26 | −0.219368 | −0.109684 | − | 0.993966i | \(-0.534984\pi\) | ||||
−0.109684 | + | 0.993966i | \(0.534984\pi\) | |||||||
\(500\) | −7207.14 | + | 8547.35i | −0.644626 | + | 0.764498i | ||||
\(501\) | 5113.18 | 0.455968 | ||||||||
\(502\) | −14272.1 | − | 4287.35i | −1.26892 | − | 0.381183i | ||||
\(503\) | −12216.7 | − | 12216.7i | −1.08293 | − | 1.08293i | −0.996235 | − | 0.0866986i | \(-0.972368\pi\) |
−0.0866986 | − | 0.996235i | \(1.47237\pi\) | |||||||
\(504\) | −7530.01 | − | 680.093i | −0.665502 | − | 0.0601066i | ||||
\(505\) | 616.584 | − | 15817.1i | 0.0543319 | − | 1.39377i | ||||
\(506\) | −993.041 | − | 1845.84i | −0.0872452 | − | 0.162169i | ||||
\(507\) | −5714.55 | + | 5714.55i | −0.500576 | + | 0.500576i | ||||
\(508\) | 6866.20 | − | 1404.37i | 0.599682 | − | 0.122655i | ||||
\(509\) | 5615.75i | 0.489025i | 0.969646 | + | 0.244512i | \(0.0786279\pi\) | ||||
−0.969646 | + | 0.244512i | \(0.921372\pi\) | |||||||
\(510\) | −1088.36 | + | 3169.35i | −0.0944972 | + | 0.275178i | ||||
\(511\) | 1331.16i | 0.115239i | ||||||||
\(512\) | −5707.93 | − | 10081.5i | −0.492690 | − | 0.870205i | ||||
\(513\) | −14326.0 | + | 14326.0i | −1.23296 | + | 1.23296i | ||||
\(514\) | 19850.0 | − | 10679.1i | 1.70340 | − | 0.916408i | ||||
\(515\) | 3307.17 | − | 3059.00i | 0.282973 | − | 0.261739i | ||||
\(516\) | −1078.83 | + | 1633.62i | −0.0920406 | + | 0.139372i | ||||
\(517\) | −1399.26 | − | 1399.26i | −0.119031 | − | 0.119031i | ||||
\(518\) | −7253.05 | + | 24144.6i | −0.615214 | + | 2.04798i | ||||
\(519\) | 3988.58 | 0.337340 | ||||||||
\(520\) | −951.740 | − | 123.494i | −0.0802626 | − | 0.0104146i | ||||
\(521\) | 5287.10 | 0.444591 | 0.222296 | − | 0.974979i | \(-0.428645\pi\) | ||||
0.222296 | + | 0.974979i | \(0.428645\pi\) | |||||||
\(522\) | 370.816 | − | 1234.41i | 0.0310923 | − | 0.103503i | ||||
\(523\) | 4328.34 | + | 4328.34i | 0.361883 | + | 0.361883i | 0.864506 | − | 0.502623i | \(-0.167631\pi\) |
−0.502623 | + | 0.864506i | \(0.667631\pi\) | |||||||
\(524\) | −7142.43 | + | 10815.4i | −0.595455 | + | 0.901666i | ||||
\(525\) | −11601.5 | − | 905.878i | −0.964443 | − | 0.0753062i | ||||
\(526\) | 9588.45 | − | 5158.47i | 0.794821 | − | 0.427605i | ||||
\(527\) | −3803.97 | + | 3803.97i | −0.314428 | + | 0.314428i | ||||
\(528\) | −1621.98 | − | 651.409i | −0.133688 | − | 0.0536912i | ||||
\(529\) | − | 2072.91i | − | 0.170371i | ||||||
\(530\) | 2996.32 | − | 1464.47i | 0.245570 | − | 0.120024i | ||||
\(531\) | 1343.23i | 0.109776i | ||||||||
\(532\) | 26762.1 | − | 5473.73i | 2.18098 | − | 0.446083i | ||||
\(533\) | 566.287 | − | 566.287i | 0.0460199 | − | 0.0460199i | ||||
\(534\) | −5206.83 | − | 9678.34i | −0.421951 | − | 0.784312i | ||||
\(535\) | −4985.05 | − | 5389.47i | −0.402846 | − | 0.435527i | ||||
\(536\) | 100.003 | − | 1107.23i | 0.00805871 | − | 0.0892262i | ||||
\(537\) | −10481.6 | − | 10481.6i | −0.842297 | − | 0.842297i | ||||
\(538\) | 1636.04 | + | 491.468i | 0.131106 | + | 0.0393841i | ||||
\(539\) | 2132.62 | 0.170424 | ||||||||
\(540\) | −2162.54 | − | 13166.8i | −0.172335 | − | 1.04928i | ||||
\(541\) | −13608.6 | −1.08148 | −0.540739 | − | 0.841190i | \(-0.681855\pi\) | ||||
−0.540739 | + | 0.841190i | \(0.681855\pi\) | |||||||
\(542\) | 11464.5 | + | 3443.93i | 0.908563 | + | 0.272932i | ||||
\(543\) | −5105.52 | − | 5105.52i | −0.403497 | − | 0.403497i | ||||
\(544\) | 4048.67 | + | 3232.17i | 0.319090 | + | 0.254739i | ||||
\(545\) | 7131.72 | + | 278.009i | 0.560531 | + | 0.0218506i | ||||
\(546\) | −473.258 | − | 879.681i | −0.0370945 | − | 0.0689503i | ||||
\(547\) | 2884.33 | − | 2884.33i | 0.225457 | − | 0.225457i | −0.585335 | − | 0.810792i | \(-0.699037\pi\) |
0.810792 | + | 0.585335i | \(0.199037\pi\) | |||||||
\(548\) | −1870.52 | − | 9145.34i | −0.145812 | − | 0.712901i | ||||
\(549\) | − | 3084.74i | − | 0.239806i | ||||||
\(550\) | 2431.54 | + | 942.399i | 0.188511 | + | 0.0730619i | ||||
\(551\) | 4656.71i | 0.360041i | ||||||||
\(552\) | 5392.63 | + | 6463.44i | 0.415807 | + | 0.498374i | ||||
\(553\) | 17830.0 | − | 17830.0i | 1.37108 | − | 1.37108i | ||||
\(554\) | −11321.8 | + | 6091.00i | −0.868263 | + | 0.467115i | ||||
\(555\) | −14664.9 | − | 571.666i | −1.12160 | − | 0.0437223i | ||||
\(556\) | −8439.43 | − | 5573.35i | −0.643726 | − | 0.425113i | ||||
\(557\) | −6538.87 | − | 6538.87i | −0.497416 | − | 0.497416i | 0.413216 | − | 0.910633i | \(-0.364405\pi\) |
−0.910633 | + | 0.413216i | \(0.864405\pi\) | |||||||
\(558\) | 2032.83 | − | 6767.07i | 0.154223 | − | 0.513392i | ||||
\(559\) | 250.720 | 0.0189702 | ||||||||
\(560\) | −7349.87 | + | 16420.5i | −0.554622 | + | 1.23909i | ||||
\(561\) | 781.612 | 0.0588229 | ||||||||
\(562\) | 6163.88 | − | 20518.9i | 0.462647 | − | 1.54010i | ||||
\(563\) | −6499.93 | − | 6499.93i | −0.486571 | − | 0.486571i | 0.420651 | − | 0.907222i | \(-0.361802\pi\) |
−0.907222 | + | 0.420651i | \(0.861802\pi\) | |||||||
\(564\) | 6631.52 | + | 4379.42i | 0.495102 | + | 0.326962i | ||||
\(565\) | 10756.1 | + | 11628.7i | 0.800907 | + | 0.865882i | ||||
\(566\) | 1775.71 | − | 955.311i | 0.131870 | − | 0.0709447i | ||||
\(567\) | 3441.05 | − | 3441.05i | 0.254869 | − | 0.254869i | ||||
\(568\) | 8909.19 | + | 10678.3i | 0.658136 | + | 0.788822i | ||||
\(569\) | − | 5264.67i | − | 0.387885i | −0.981013 | − | 0.193942i | \(-0.937872\pi\) | ||
0.981013 | − | 0.193942i | \(-0.0621275\pi\) | |||||||
\(570\) | 6982.69 | + | 14286.7i | 0.513110 | + | 1.04983i | ||||
\(571\) | 22034.0i | 1.61488i | 0.589952 | + | 0.807438i | \(0.299147\pi\) | ||||
−0.589952 | + | 0.807438i | \(0.700853\pi\) | |||||||
\(572\) | 44.8563 | + | 219.311i | 0.00327891 | + | 0.0160312i | ||||
\(573\) | 3819.46 | − | 3819.46i | 0.278464 | − | 0.278464i | ||||
\(574\) | −7112.48 | − | 13220.5i | −0.517194 | − | 0.961348i | ||||
\(575\) | −8162.08 | − | 9544.67i | −0.591969 | − | 0.692244i | ||||
\(576\) | −6694.29 | − | 1219.17i | −0.484251 | − | 0.0881924i | ||||
\(577\) | −9208.58 | − | 9208.58i | −0.664399 | − | 0.664399i | 0.292015 | − | 0.956414i | \(-0.405674\pi\) |
−0.956414 | + | 0.292015i | \(0.905674\pi\) | |||||||
\(578\) | 11089.9 | + | 3331.40i | 0.798059 | + | 0.239737i | ||||
\(579\) | 11859.0 | 0.851196 | ||||||||
\(580\) | −2491.43 | − | 1788.49i | −0.178363 | − | 0.128039i | ||||
\(581\) | 15047.2 | 1.07446 | ||||||||
\(582\) | 7610.46 | + | 2286.18i | 0.542034 | + | 0.162827i | ||||
\(583\) | −550.052 | − | 550.052i | −0.0390751 | − | 0.0390751i | ||||
\(584\) | −107.763 | + | 1193.15i | −0.00763572 | + | 0.0845429i | ||||
\(585\) | −413.802 | + | 382.751i | −0.0292455 | + | 0.0270509i | ||||
\(586\) | −462.679 | − | 860.016i | −0.0326162 | − | 0.0606262i | ||||
\(587\) | −6536.20 | + | 6536.20i | −0.459587 | + | 0.459587i | −0.898520 | − | 0.438933i | \(-0.855357\pi\) |
0.438933 | + | 0.898520i | \(0.355357\pi\) | |||||||
\(588\) | −8390.94 | + | 1716.23i | −0.588498 | + | 0.120367i | ||||
\(589\) | 25528.3i | 1.78586i | ||||||||
\(590\) | 3022.89 | + | 1038.07i | 0.210933 | + | 0.0724351i | ||||
\(591\) | 10958.3i | 0.762713i | ||||||||
\(592\) | −8455.72 | + | 21054.3i | −0.587040 | + | 1.46170i | ||||
\(593\) | −11033.7 | + | 11033.7i | −0.764079 | + | 0.764079i | −0.977057 | − | 0.212978i | \(-0.931684\pi\) |
0.212978 | + | 0.977057i | \(0.431684\pi\) | |||||||
\(594\) | −2740.80 | + | 1474.52i | −0.189321 | + | 0.101852i | ||||
\(595\) | 313.364 | − | 8038.68i | 0.0215910 | − | 0.553872i | ||||
\(596\) | −5958.16 | + | 9022.12i | −0.409489 | + | 0.620068i | ||||
\(597\) | −5466.05 | − | 5466.05i | −0.374725 | − | 0.374725i | ||||
\(598\) | 310.150 | − | 1032.46i | 0.0212090 | − | 0.0706024i | ||||
\(599\) | −1861.62 | −0.126985 | −0.0634923 | − | 0.997982i | \(-0.520224\pi\) | ||||
−0.0634923 | + | 0.997982i | \(0.520224\pi\) | |||||||
\(600\) | −10325.4 | − | 1751.16i | −0.702557 | − | 0.119151i | ||||
\(601\) | −21693.2 | −1.47235 | −0.736177 | − | 0.676789i | \(-0.763371\pi\) | ||||
−0.736177 | + | 0.676789i | \(0.763371\pi\) | |||||||
\(602\) | 1352.15 | − | 4501.15i | 0.0915437 | − | 0.304739i | ||||
\(603\) | −461.715 | − | 461.715i | −0.0311816 | − | 0.0311816i | ||||
\(604\) | −10252.8 | + | 15525.2i | −0.690693 | + | 1.04588i | ||||
\(605\) | −555.959 | + | 14261.9i | −0.0373602 | + | 0.958398i | ||||
\(606\) | 13057.8 | − | 7024.94i | 0.875308 | − | 0.470905i | ||||
\(607\) | −617.817 | + | 617.817i | −0.0413121 | + | 0.0413121i | −0.727461 | − | 0.686149i | \(-0.759300\pi\) |
0.686149 | + | 0.727461i | \(0.259300\pi\) | |||||||
\(608\) | 24430.7 | − | 2739.75i | 1.62960 | − | 0.182749i | ||||
\(609\) | − | 3192.13i | − | 0.212400i | ||||||
\(610\) | −6942.11 | − | 2383.95i | −0.460784 | − | 0.158235i | ||||
\(611\) | − | 1017.77i | − | 0.0673891i | ||||||
\(612\) | 2981.03 | − | 609.719i | 0.196897 | − | 0.0402719i | ||||
\(613\) | 5656.87 | − | 5656.87i | 0.372722 | − | 0.372722i | −0.495745 | − | 0.868468i | \(-0.665105\pi\) |
0.868468 | + | 0.495745i | \(0.165105\pi\) | |||||||
\(614\) | −12987.6 | − | 24141.0i | −0.853642 | − | 1.58673i | ||||
\(615\) | 6415.60 | − | 5934.18i | 0.420654 | − | 0.389088i | ||||
\(616\) | 4179.17 | + | 377.453i | 0.273350 | + | 0.0246884i | ||||
\(617\) | 12811.8 | + | 12811.8i | 0.835953 | + | 0.835953i | 0.988323 | − | 0.152370i | \(-0.0486907\pi\) |
−0.152370 | + | 0.988323i | \(0.548691\pi\) | |||||||
\(618\) | 4041.50 | + | 1214.07i | 0.263063 | + | 0.0790243i | ||||
\(619\) | 12163.2 | 0.789788 | 0.394894 | − | 0.918727i | \(-0.370781\pi\) | ||||
0.394894 | + | 0.918727i | \(0.370781\pi\) | |||||||
\(620\) | −13658.1 | − | 9804.55i | −0.884713 | − | 0.635097i | ||||
\(621\) | 14988.2 | 0.968530 | ||||||||
\(622\) | −29262.9 | − | 8790.56i | −1.88639 | − | 0.566671i | ||||
\(623\) | 18656.2 | + | 18656.2i | 1.19975 | + | 1.19975i | ||||
\(624\) | −352.980 | − | 826.794i | −0.0226450 | − | 0.0530421i | ||||
\(625\) | 15435.6 | + | 2425.29i | 0.987880 | + | 0.155219i | ||||
\(626\) | 4962.20 | + | 9223.62i | 0.316820 | + | 0.588898i | ||||
\(627\) | 2622.68 | − | 2622.68i | 0.167049 | − | 0.167049i | ||||
\(628\) | −368.372 | − | 1801.04i | −0.0234071 | − | 0.114441i | ||||
\(629\) | − | 10145.8i | − | 0.643149i | ||||||
\(630\) | 4639.83 | + | 9493.13i | 0.293421 | + | 0.600342i | ||||
\(631\) | 3347.17i | 0.211171i | 0.994410 | + | 0.105585i | \(0.0336716\pi\) | ||||
−0.994410 | + | 0.105585i | \(0.966328\pi\) | |||||||
\(632\) | 17424.9 | − | 14538.1i | 1.09672 | − | 0.915023i | ||||
\(633\) | −522.588 | + | 522.588i | −0.0328136 | + | 0.0328136i | ||||
\(634\) | −12866.7 | + | 6922.14i | −0.805998 | + | 0.433617i | ||||
\(635\) | −6650.70 | − | 7190.25i | −0.415630 | − | 0.449349i | ||||
\(636\) | 2606.87 | + | 1721.56i | 0.162530 | + | 0.107334i | ||||
\(637\) | 775.600 | + | 775.600i | 0.0482424 | + | 0.0482424i | ||||
\(638\) | −205.804 | + | 685.099i | −0.0127709 | + | 0.0425131i | ||||
\(639\) | 8167.95 | 0.505664 | ||||||||
\(640\) | −7917.19 | + | 14123.1i | −0.488991 | + | 0.872289i | ||||
\(641\) | −24791.3 | −1.52761 | −0.763803 | − | 0.645449i | \(-0.776670\pi\) | ||||
−0.763803 | + | 0.645449i | \(0.776670\pi\) | |||||||
\(642\) | 1978.48 | − | 6586.17i | 0.121627 | − | 0.404884i | ||||
\(643\) | −12922.9 | − | 12922.9i | −0.792583 | − | 0.792583i | 0.189330 | − | 0.981913i | \(-0.439368\pi\) |
−0.981913 | + | 0.189330i | \(0.939368\pi\) | |||||||
\(644\) | −16862.9 | − | 11136.2i | −1.03182 | − | 0.681408i | ||||
\(645\) | 2733.89 | + | 106.572i | 0.166894 | + | 0.00650587i | ||||
\(646\) | −9681.12 | + | 5208.33i | −0.589626 | + | 0.317212i | ||||
\(647\) | 16924.5 | − | 16924.5i | 1.02840 | − | 1.02840i | 0.0288113 | − | 0.999585i | \(-0.490828\pi\) |
0.999585 | − | 0.0288113i | \(-0.00917218\pi\) | |||||||
\(648\) | 3362.88 | − | 2805.74i | 0.203868 | − | 0.170092i | ||||
\(649\) | − | 745.493i | − | 0.0450896i | ||||||
\(650\) | 541.575 | + | 1227.05i | 0.0326805 | + | 0.0740441i | ||||
\(651\) | − | 17499.4i | − | 1.05354i | ||||||
\(652\) | −2113.93 | − | 10335.4i | −0.126975 | − | 0.620806i | ||||
\(653\) | 10391.0 | − | 10391.0i | 0.622715 | − | 0.622715i | −0.323510 | − | 0.946225i | \(-0.604863\pi\) |
0.946225 | + | 0.323510i | \(0.104863\pi\) | |||||||
\(654\) | 3167.44 | + | 5887.57i | 0.189384 | + | 0.352022i | ||||
\(655\) | 18099.8 | + | 705.565i | 1.07972 | + | 0.0420896i | ||||
\(656\) | −5304.85 | − | 12425.7i | −0.315731 | − | 0.739545i | ||||
\(657\) | 497.543 | + | 497.543i | 0.0295449 | + | 0.0295449i | ||||
\(658\) | −18272.0 | − | 5488.91i | −1.08255 | − | 0.325197i | ||||
\(659\) | −773.045 | −0.0456958 | −0.0228479 | − | 0.999739i | \(-0.507273\pi\) | ||||
−0.0228479 | + | 0.999739i | \(0.507273\pi\) | |||||||
\(660\) | 395.899 | + | 2410.47i | 0.0233490 | + | 0.142163i | ||||
\(661\) | 17856.3 | 1.05073 | 0.525364 | − | 0.850878i | \(-0.323929\pi\) | ||||
0.525364 | + | 0.850878i | \(0.323929\pi\) | |||||||
\(662\) | 21237.1 | + | 6379.62i | 1.24683 | + | 0.374549i | ||||
\(663\) | 284.260 | + | 284.260i | 0.0166512 | + | 0.0166512i | ||||
\(664\) | 13487.2 | + | 1218.13i | 0.788259 | + | 0.0711938i | ||||
\(665\) | −25922.1 | − | 28025.1i | −1.51161 | − | 1.63424i | ||||
\(666\) | 6313.51 | + | 11735.4i | 0.367333 | + | 0.682790i | ||||
\(667\) | 2435.98 | − | 2435.98i | 0.141411 | − | 0.141411i | ||||
\(668\) | −10823.3 | + | 2213.73i | −0.626896 | + | 0.128221i | ||||
\(669\) | 17490.9i | 1.01082i | ||||||||
\(670\) | −1395.90 | + | 682.254i | −0.0804900 | + | 0.0393400i | ||||
\(671\) | 1712.04i | 0.0984985i | ||||||||
\(672\) | −16747.0 | + | 1878.07i | −0.961353 | + | 0.107810i | ||||
\(673\) | −19931.6 | + | 19931.6i | −1.14161 | + | 1.14161i | −0.153459 | + | 0.988155i | \(0.549041\pi\) |
−0.988155 | + | 0.153459i | \(0.950959\pi\) | |||||||
\(674\) | 15863.0 | − | 8534.10i | 0.906557 | − | 0.487717i | ||||
\(675\) | −14172.4 | + | 12119.5i | −0.808143 | + | 0.691080i | ||||
\(676\) | 9622.18 | − | 14570.4i | 0.547462 | − | 0.828992i | ||||
\(677\) | −5515.73 | − | 5515.73i | −0.313126 | − | 0.313126i | 0.532993 | − | 0.846120i | \(-0.321067\pi\) |
−0.846120 | + | 0.532993i | \(0.821067\pi\) | |||||||
\(678\) | −4268.92 | + | 14210.8i | −0.241810 | + | 0.804958i | ||||
\(679\) | −19077.0 | −1.07822 | ||||||||
\(680\) | 931.641 | − | 7179.92i | 0.0525394 | − | 0.404908i | ||||
\(681\) | 4316.48 | 0.242890 | ||||||||
\(682\) | −1128.22 | + | 3755.74i | −0.0633460 | + | 0.210872i | ||||
\(683\) | 19946.1 | + | 19946.1i | 1.11745 | + | 1.11745i | 0.992115 | + | 0.125331i | \(0.0399992\pi\) |
0.125331 | + | 0.992115i | \(0.460001\pi\) | |||||||
\(684\) | 7956.88 | − | 12048.7i | 0.444794 | − | 0.673527i | ||||
\(685\) | −9576.95 | + | 8858.31i | −0.534185 | + | 0.494100i | ||||
\(686\) | −3373.39 | + | 1814.85i | −0.187750 | + | 0.101007i | ||||
\(687\) | −11814.0 | + | 11814.0i | −0.656089 | + | 0.656089i | ||||
\(688\) | 1576.35 | − | 3925.04i | 0.0873515 | − | 0.217501i | ||||
\(689\) | − | 400.090i | − | 0.0221222i | ||||||
\(690\) | 3820.79 | − | 11126.2i | 0.210804 | − | 0.613867i | ||||
\(691\) | − | 356.654i | − | 0.0196350i | −0.999952 | − | 0.00981748i | \(-0.996875\pi\) | ||
0.999952 | − | 0.00981748i | \(-0.00312505\pi\) | |||||||
\(692\) | −8442.84 | + | 1726.84i | −0.463798 | + | 0.0948621i | ||||
\(693\) | 1742.71 | − | 1742.71i | 0.0955267 | − | 0.0955267i | ||||
\(694\) | 16030.3 | + | 29796.7i | 0.876802 | + | 1.62978i | ||||
\(695\) | −550.564 | + | 14123.6i | −0.0300490 | + | 0.770845i | ||||
\(696\) | 258.416 | − | 2861.19i | 0.0140736 | − | 0.155823i | ||||
\(697\) | 4272.07 | + | 4272.07i | 0.232161 | + | 0.232161i | ||||
\(698\) | −14940.4 | − | 4488.09i | −0.810175 | − | 0.243377i | ||||
\(699\) | −1532.05 | −0.0829003 | ||||||||
\(700\) | 24949.8 | − | 3105.32i | 1.34716 | − | 0.167671i | ||||
\(701\) | 17230.0 | 0.928343 | 0.464172 | − | 0.885745i | \(-0.346352\pi\) | ||||
0.464172 | + | 0.885745i | \(0.346352\pi\) | |||||||
\(702\) | −1533.04 | − | 460.526i | −0.0824231 | − | 0.0247599i | ||||
\(703\) | −34044.1 | − | 34044.1i | −1.82646 | − | 1.82646i | ||||
\(704\) | 3715.35 | + | 676.643i | 0.198903 | + | 0.0362243i | ||||
\(705\) | 432.621 | − | 11098.0i | 0.0231113 | − | 0.592871i | ||||
\(706\) | −1443.02 | − | 2682.26i | −0.0769248 | − | 0.142986i | ||||
\(707\) | −25170.5 | + | 25170.5i | −1.33895 | + | 1.33895i | ||||
\(708\) | 599.935 | + | 2933.19i | 0.0318460 | + | 0.155701i | ||||
\(709\) | − | 8153.11i | − | 0.431871i | −0.976408 | − | 0.215935i | \(-0.930720\pi\) | ||
0.976408 | − | 0.215935i | \(-0.0692801\pi\) | |||||||
\(710\) | 6312.35 | − | 18381.7i | 0.333659 | − | 0.971625i | ||||
\(711\) | − | 13328.5i | − | 0.703036i | ||||||
\(712\) | 15211.8 | + | 18232.4i | 0.800681 | + | 0.959672i | ||||
\(713\) | 13354.1 | − | 13354.1i | 0.701425 | − | 0.701425i | ||||
\(714\) | 6636.31 | − | 3570.26i | 0.347840 | − | 0.187134i | ||||
\(715\) | 229.661 | − | 212.427i | 0.0120124 | − | 0.0111110i | ||||
\(716\) | 26724.8 | + | 17648.9i | 1.39491 | + | 0.921189i | ||||
\(717\) | 7658.81 | + | 7658.81i | 0.398917 | + | 0.398917i | ||||
\(718\) | −2900.74 | + | 9656.25i | −0.150772 | + | 0.501905i | ||||
\(719\) | −17219.3 | −0.893147 | −0.446573 | − | 0.894747i | \(-0.647356\pi\) | ||||
−0.446573 | + | 0.894747i | \(0.647356\pi\) | |||||||
\(720\) | 3390.29 | + | 8884.56i | 0.175484 | + | 0.459872i | ||||
\(721\) | −10130.8 | −0.523287 | ||||||||
\(722\) | −9426.94 | + | 31381.3i | −0.485920 | + | 1.61758i | ||||
\(723\) | 11152.0 | + | 11152.0i | 0.573649 | + | 0.573649i | ||||
\(724\) | 13017.5 | + | 8596.70i | 0.668221 | + | 0.441290i | ||||
\(725\) | −333.656 | + | 4273.12i | −0.0170920 | + | 0.218896i | ||||
\(726\) | −11773.9 | + | 6334.22i | −0.601888 | + | 0.323809i | ||||
\(727\) | 8881.73 | − | 8881.73i | 0.453102 | − | 0.453102i | −0.443281 | − | 0.896383i | \(-0.646186\pi\) |
0.896383 | + | 0.443281i | \(0.146186\pi\) | |||||||
\(728\) | 1382.62 | + | 1657.17i | 0.0703893 | + | 0.0843665i | ||||
\(729\) | − | 17486.6i | − | 0.888409i | ||||||
\(730\) | 1504.22 | − | 735.195i | 0.0762652 | − | 0.0372751i | ||||
\(731\) | 1891.43i | 0.0957004i | ||||||||
\(732\) | −1377.76 | − | 6736.12i | −0.0695676 | − | 0.340129i | ||||
\(733\) | 4401.20 | − | 4401.20i | 0.221776 | − | 0.221776i | −0.587470 | − | 0.809246i | \(-0.699876\pi\) |
0.809246 | + | 0.587470i | \(0.199876\pi\) | |||||||
\(734\) | 8353.30 | + | 15526.9i | 0.420062 | + | 0.780802i | ||||
\(735\) | 8127.59 | + | 8786.95i | 0.407878 | + | 0.440968i | ||||
\(736\) | −14213.2 | − | 11346.8i | −0.711826 | − | 0.568271i | ||||
\(737\) | 256.253 | + | 256.253i | 0.0128076 | + | 0.0128076i | ||||
\(738\) | −7599.79 | − | 2282.98i | −0.379068 | − | 0.113872i | ||||
\(739\) | −23097.8 | −1.14975 | −0.574875 | − | 0.818241i | \(-0.694949\pi\) | ||||
−0.574875 | + | 0.818241i | \(0.694949\pi\) | |||||||
\(740\) | 31289.4 | − | 5139.03i | 1.55435 | − | 0.255290i | ||||
\(741\) | 1907.65 | 0.0945741 | ||||||||
\(742\) | −7182.77 | − | 2157.70i | −0.355374 | − | 0.106754i | ||||
\(743\) | 17404.1 | + | 17404.1i | 0.859348 | + | 0.859348i | 0.991261 | − | 0.131913i | \(-0.0421119\pi\) |
−0.131913 | + | 0.991261i | \(0.542112\pi\) | |||||||
\(744\) | 1416.65 | − | 15685.1i | 0.0698075 | − | 0.772911i | ||||
\(745\) | 15098.7 | + | 588.577i | 0.742515 | + | 0.0289447i | ||||
\(746\) | −15864.3 | − | 29488.2i | −0.778597 | − | 1.44724i | ||||
\(747\) | 5624.13 | − | 5624.13i | 0.275470 | − | 0.275470i | ||||
\(748\) | −1654.48 | + | 338.395i | −0.0808739 | + | 0.0165414i | ||||
\(749\) | 16509.4i | 0.805396i | ||||||||
\(750\) | 5383.85 | + | 13610.1i | 0.262120 | + | 0.662628i | ||||
\(751\) | 2347.75i | 0.114075i | 0.998372 | + | 0.0570377i | \(0.0181655\pi\) | ||||
−0.998372 | + | 0.0570377i | \(0.981834\pi\) | |||||||
\(752\) | −15933.3 | − | 6399.05i | −0.772644 | − | 0.310305i | ||||
\(753\) | −13794.7 | + | 13794.7i | −0.667604 | + | 0.667604i | ||||
\(754\) | −324.007 | + | 174.312i | −0.0156494 | + | 0.00841919i | ||||
\(755\) | 25981.7 | + | 1012.82i | 1.25241 | + | 0.0488215i | ||||
\(756\) | −16535.6 | + | 25038.9i | −0.795493 | + | 1.20457i | ||||
\(757\) | −7078.12 | − | 7078.12i | −0.339840 | − | 0.339840i | 0.516467 | − | 0.856307i | \(-0.327247\pi\) |
−0.856307 | + | 0.516467i | \(0.827247\pi\) | |||||||
\(758\) | 9056.95 | − | 30149.6i | 0.433989 | − | 1.44470i | ||||
\(759\) | −2743.91 | −0.131222 | ||||||||
\(760\) | −20966.0 | − | 27218.2i | −1.00068 | − | 1.29909i | ||||
\(761\) | −27017.6 | −1.28697 | −0.643486 | − | 0.765458i | \(-0.722513\pi\) | ||||
−0.643486 | + | 0.765458i | \(0.722513\pi\) | |||||||
\(762\) | 2639.56 | − | 8786.80i | 0.125487 | − | 0.417732i | ||||
\(763\) | −11349.0 | − | 11349.0i | −0.538483 | − | 0.538483i | ||||
\(764\) | −6431.22 | + | 9738.45i | −0.304546 | + | 0.461158i | ||||
\(765\) | −2887.47 | − | 3121.72i | −0.136466 | − | 0.147537i | ||||
\(766\) | −3545.90 | + | 1907.65i | −0.167257 | + | 0.0899821i | ||||
\(767\) | 271.124 | − | 271.124i | 0.0127636 | − | 0.0127636i | ||||
\(768\) | −15162.8 | + | 327.626i | −0.712423 | + | 0.0153935i | ||||
\(769\) | − | 41584.0i | − | 1.95001i | −0.222183 | − | 0.975005i | \(-0.571318\pi\) | ||
0.222183 | − | 0.975005i | \(-0.428682\pi\) | |||||||
\(770\) | −2575.11 | − | 5268.71i | −0.120520 | − | 0.246586i | ||||
\(771\) | − | 29507.7i |