Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,3,Mod(2,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(196))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.i (of order \(196\), degree \(84\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.36786120790\) |
Analytic rank: | \(0\) |
Dimension: | \(2688\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{196})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{196}]$ |
Embedding invariants
Embedding label | 2.5 | ||
Character | \(\chi\) | \(=\) | 197.2 |
Dual form | 197.3.i.a.99.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{196}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.90911 | − | 0.0466327i | −1.45455 | − | 0.0233164i | −0.716278 | − | 0.697815i | \(-0.754156\pi\) |
−0.738276 | + | 0.674499i | \(0.764360\pi\) | |||||||
\(3\) | −3.04003 | + | 0.745325i | −1.01334 | + | 0.248442i | −0.709821 | − | 0.704383i | \(-0.751224\pi\) |
−0.303522 | + | 0.952824i | \(0.598163\pi\) | |||||||
\(4\) | 4.46279 | + | 0.143113i | 1.11570 | + | 0.0357783i | ||||
\(5\) | 1.10267 | + | 7.59067i | 0.220533 | + | 1.51813i | 0.745208 | + | 0.666832i | \(0.232350\pi\) |
−0.524675 | + | 0.851302i | \(0.675813\pi\) | |||||||
\(6\) | 8.87853 | − | 2.02647i | 1.47976 | − | 0.337744i | ||||
\(7\) | −1.50854 | + | 1.55769i | −0.215506 | + | 0.222527i | −0.817433 | − | 0.576023i | \(-0.804604\pi\) |
0.601927 | + | 0.798551i | \(0.294400\pi\) | |||||||
\(8\) | −1.35160 | − | 0.0650426i | −0.168950 | − | 0.00813032i | ||||
\(9\) | 0.706873 | − | 0.368775i | 0.0785415 | − | 0.0409750i | ||||
\(10\) | −2.85380 | − | 22.1335i | −0.285380 | − | 2.21335i | ||||
\(11\) | 13.1349 | + | 6.58683i | 1.19408 | + | 0.598803i | 0.930663 | − | 0.365879i | \(-0.119231\pi\) |
0.263419 | + | 0.964682i | \(0.415150\pi\) | |||||||
\(12\) | −13.6737 | + | 2.89116i | −1.13947 | + | 0.240930i | ||||
\(13\) | 14.6914 | + | 6.22377i | 1.13011 | + | 0.478751i | 0.873043 | − | 0.487643i | \(-0.162143\pi\) |
0.257062 | + | 0.966395i | \(0.417245\pi\) | |||||||
\(14\) | 4.46115 | − | 4.46115i | 0.318653 | − | 0.318653i | ||||
\(15\) | −9.00965 | − | 22.2540i | −0.600643 | − | 1.48360i | ||||
\(16\) | −13.8947 | − | 0.892072i | −0.868421 | − | 0.0557545i | ||||
\(17\) | 13.1741 | − | 8.87925i | 0.774950 | − | 0.522309i | −0.106655 | − | 0.994296i | \(-0.534014\pi\) |
0.881605 | + | 0.471987i | \(0.156463\pi\) | |||||||
\(18\) | −2.07357 | + | 1.03984i | −0.115198 | + | 0.0577691i | ||||
\(19\) | −24.5122 | + | 19.5478i | −1.29011 | + | 1.02883i | −0.292755 | + | 0.956187i | \(0.594572\pi\) |
−0.997358 | + | 0.0726437i | \(0.976856\pi\) | |||||||
\(20\) | 3.83464 | + | 34.0334i | 0.191732 | + | 1.70167i | ||||
\(21\) | 3.42502 | − | 5.85978i | 0.163096 | − | 0.279037i | ||||
\(22\) | −37.9037 | − | 19.7743i | −1.72289 | − | 0.898833i | ||||
\(23\) | −9.59702 | + | 26.0782i | −0.417262 | + | 1.13383i | 0.539251 | + | 0.842145i | \(0.318707\pi\) |
−0.956513 | + | 0.291690i | \(0.905782\pi\) | |||||||
\(24\) | 4.15738 | − | 0.809649i | 0.173224 | − | 0.0337354i | ||||
\(25\) | −32.4357 | + | 9.62675i | −1.29743 | + | 0.385070i | ||||
\(26\) | −42.4486 | − | 18.7907i | −1.63264 | − | 0.722720i | ||||
\(27\) | 19.2809 | − | 16.9545i | 0.714106 | − | 0.627943i | ||||
\(28\) | −6.95523 | + | 6.73576i | −0.248401 | + | 0.240563i | ||||
\(29\) | −31.3115 | − | 20.3816i | −1.07971 | − | 0.702812i | −0.122575 | − | 0.992459i | \(-0.539115\pi\) |
−0.957134 | + | 0.289647i | \(0.906462\pi\) | |||||||
\(30\) | 25.1723 | + | 65.1595i | 0.839076 | + | 2.17198i | ||||
\(31\) | −34.4203 | + | 41.7703i | −1.11033 | + | 1.34743i | −0.178753 | + | 0.983894i | \(0.557206\pi\) |
−0.931580 | + | 0.363536i | \(0.881569\pi\) | |||||||
\(32\) | 45.7750 | + | 3.67640i | 1.43047 | + | 0.114888i | ||||
\(33\) | −44.8398 | − | 10.2344i | −1.35878 | − | 0.310133i | ||||
\(34\) | −38.7391 | + | 25.2164i | −1.13939 | + | 0.741657i | ||||
\(35\) | −13.4873 | − | 9.73322i | −0.385352 | − | 0.278092i | ||||
\(36\) | 3.20741 | − | 1.54461i | 0.0890946 | − | 0.0429057i | ||||
\(37\) | 45.5135 | − | 2.92207i | 1.23010 | − | 0.0789748i | 0.564593 | − | 0.825370i | \(-0.309033\pi\) |
0.665503 | + | 0.746395i | \(0.268217\pi\) | |||||||
\(38\) | 72.2201 | − | 55.7236i | 1.90053 | − | 1.46641i | ||||
\(39\) | −49.3009 | − | 7.97059i | −1.26413 | − | 0.204374i | ||||
\(40\) | −0.996644 | − | 10.3313i | −0.0249161 | − | 0.258281i | ||||
\(41\) | 8.68344 | − | 44.5876i | 0.211791 | − | 1.08750i | −0.711290 | − | 0.702899i | \(-0.751889\pi\) |
0.923081 | − | 0.384605i | \(-0.125662\pi\) | |||||||
\(42\) | −10.2370 | + | 16.8870i | −0.243738 | + | 0.402072i | ||||
\(43\) | −12.2630 | − | 36.9342i | −0.285186 | − | 0.858936i | −0.988917 | − | 0.148469i | \(-0.952565\pi\) |
0.703731 | − | 0.710467i | \(-0.251516\pi\) | |||||||
\(44\) | 57.6757 | + | 31.2754i | 1.31081 | + | 0.710806i | ||||
\(45\) | 3.57870 | + | 4.95901i | 0.0795266 | + | 0.110200i | ||||
\(46\) | 29.1349 | − | 75.4168i | 0.633367 | − | 1.63950i | ||||
\(47\) | −9.02239 | − | 16.0202i | −0.191966 | − | 0.340855i | 0.758506 | − | 0.651666i | \(-0.225930\pi\) |
−0.950472 | + | 0.310812i | \(0.899399\pi\) | |||||||
\(48\) | 42.9053 | − | 7.64417i | 0.893860 | − | 0.159254i | ||||
\(49\) | 1.41982 | + | 44.2751i | 0.0289759 | + | 0.903574i | ||||
\(50\) | 94.8079 | − | 26.4927i | 1.89616 | − | 0.529854i | ||||
\(51\) | −33.4319 | + | 36.8122i | −0.655527 | + | 0.721808i | ||||
\(52\) | 64.6738 | + | 29.8779i | 1.24373 | + | 0.574575i | ||||
\(53\) | 9.66411 | + | 21.8314i | 0.182342 | + | 0.411913i | 0.982087 | − | 0.188426i | \(-0.0603385\pi\) |
−0.799746 | + | 0.600339i | \(0.795032\pi\) | |||||||
\(54\) | −56.8807 | + | 48.4233i | −1.05335 | + | 0.896727i | ||||
\(55\) | −35.5151 | + | 106.966i | −0.645729 | + | 1.94483i | ||||
\(56\) | 2.14026 | − | 2.00725i | 0.0382189 | − | 0.0358438i | ||||
\(57\) | 59.9482 | − | 77.6954i | 1.05172 | − | 1.36308i | ||||
\(58\) | 90.1382 | + | 60.7523i | 1.55411 | + | 1.04745i | ||||
\(59\) | −14.4458 | − | 1.86258i | −0.244844 | − | 0.0315692i | 0.00447710 | − | 0.999990i | \(-0.498575\pi\) |
−0.249321 | + | 0.968421i | \(0.580208\pi\) | |||||||
\(60\) | −37.0234 | − | 100.604i | −0.617056 | − | 1.67674i | ||||
\(61\) | −34.2843 | − | 56.5556i | −0.562038 | − | 0.927140i | −0.999609 | − | 0.0279566i | \(-0.991100\pi\) |
0.437571 | − | 0.899184i | \(-0.355839\pi\) | |||||||
\(62\) | 102.080 | − | 119.909i | 1.64646 | − | 1.93402i | ||||
\(63\) | −0.491908 | + | 1.65740i | −0.00780807 | + | 0.0263080i | ||||
\(64\) | −77.5569 | − | 7.48182i | −1.21183 | − | 0.116903i | ||||
\(65\) | −31.0429 | + | 118.380i | −0.477583 | + | 1.82123i | ||||
\(66\) | 129.967 | + | 31.8640i | 1.96919 | + | 0.482787i | ||||
\(67\) | −3.69593 | − | 1.03277i | −0.0551631 | − | 0.0154145i | 0.241434 | − | 0.970417i | \(-0.422382\pi\) |
−0.296597 | + | 0.955003i | \(0.595852\pi\) | |||||||
\(68\) | 60.0642 | − | 37.7409i | 0.883298 | − | 0.555013i | ||||
\(69\) | 9.73848 | − | 86.4314i | 0.141137 | − | 1.25263i | ||||
\(70\) | 38.7822 | + | 28.9439i | 0.554032 | + | 0.413485i | ||||
\(71\) | 99.0599 | + | 31.1365i | 1.39521 | + | 0.438542i | 0.902138 | − | 0.431447i | \(-0.141997\pi\) |
0.493071 | + | 0.869989i | \(0.335874\pi\) | |||||||
\(72\) | −0.979395 | + | 0.452459i | −0.0136027 | + | 0.00628416i | ||||
\(73\) | −50.6879 | − | 44.5720i | −0.694355 | − | 0.610575i | 0.238366 | − | 0.971175i | \(-0.423388\pi\) |
−0.932721 | + | 0.360600i | \(0.882572\pi\) | |||||||
\(74\) | −132.540 | + | 6.37819i | −1.79108 | + | 0.0861917i | ||||
\(75\) | 91.4304 | − | 53.4407i | 1.21907 | − | 0.712543i | ||||
\(76\) | −112.190 | + | 83.7297i | −1.47619 | + | 1.10171i | ||||
\(77\) | −30.0748 | + | 10.5236i | −0.390581 | + | 0.136670i | ||||
\(78\) | 143.050 | + | 25.4864i | 1.83397 | + | 0.326748i | ||||
\(79\) | 11.0995 | − | 76.4083i | 0.140500 | − | 0.967194i | −0.793155 | − | 0.609020i | \(-0.791563\pi\) |
0.933655 | − | 0.358174i | \(-0.116600\pi\) | |||||||
\(80\) | −8.54982 | − | 106.454i | −0.106873 | − | 1.33068i | ||||
\(81\) | −50.0830 | + | 71.7978i | −0.618309 | + | 0.886393i | ||||
\(82\) | −27.3403 | + | 129.305i | −0.333419 | + | 1.57689i | ||||
\(83\) | −53.3030 | − | 42.5077i | −0.642205 | − | 0.512141i | 0.247376 | − | 0.968920i | \(-0.420432\pi\) |
−0.889581 | + | 0.456778i | \(0.849003\pi\) | |||||||
\(84\) | 16.1238 | − | 25.6608i | 0.191950 | − | 0.305486i | ||||
\(85\) | 81.9261 | + | 90.2098i | 0.963837 | + | 1.06129i | ||||
\(86\) | 33.9521 | + | 108.018i | 0.394792 | + | 1.25602i | ||||
\(87\) | 110.379 | + | 38.6232i | 1.26872 | + | 0.443945i | ||||
\(88\) | −17.3247 | − | 9.75708i | −0.196871 | − | 0.110876i | ||||
\(89\) | 30.6962 | + | 37.2510i | 0.344901 | + | 0.418551i | 0.915272 | − | 0.402837i | \(-0.131976\pi\) |
−0.570370 | + | 0.821388i | \(0.693200\pi\) | |||||||
\(90\) | −10.1796 | − | 14.5932i | −0.113106 | − | 0.162146i | ||||
\(91\) | −31.8572 | + | 13.4958i | −0.350079 | + | 0.148306i | ||||
\(92\) | −46.5616 | + | 115.008i | −0.506105 | + | 1.25009i | ||||
\(93\) | 73.5063 | − | 152.637i | 0.790390 | − | 1.64126i | ||||
\(94\) | 25.5001 | + | 47.0251i | 0.271277 | + | 0.500268i | ||||
\(95\) | −175.410 | − | 164.509i | −1.84642 | − | 1.73167i | ||||
\(96\) | −141.897 | + | 22.9409i | −1.47810 | + | 0.238967i | ||||
\(97\) | 10.6453 | + | 40.5951i | 0.109745 | + | 0.418506i | 0.999263 | − | 0.0383951i | \(-0.0122245\pi\) |
−0.889517 | + | 0.456901i | \(0.848959\pi\) | |||||||
\(98\) | −2.06573 | − | 128.867i | −0.0210789 | − | 1.31497i | ||||
\(99\) | 11.7138 | − | 0.187771i | 0.118321 | − | 0.00189667i | ||||
\(100\) | −146.132 | + | 38.3202i | −1.46132 | + | 0.383202i | ||||
\(101\) | −7.93039 | − | 49.0523i | −0.0785187 | − | 0.485666i | −0.996108 | − | 0.0881371i | \(-0.971909\pi\) |
0.917590 | − | 0.397529i | \(-0.130132\pi\) | |||||||
\(102\) | 98.9736 | − | 105.532i | 0.970329 | − | 1.03462i | ||||
\(103\) | −170.421 | + | 92.4134i | −1.65458 | + | 0.897217i | −0.666096 | + | 0.745866i | \(0.732036\pi\) |
−0.988480 | + | 0.151351i | \(0.951638\pi\) | |||||||
\(104\) | −19.4520 | − | 9.36760i | −0.187039 | − | 0.0900731i | ||||
\(105\) | 48.2563 | + | 19.5368i | 0.459584 | + | 0.186065i | ||||
\(106\) | −27.0959 | − | 63.9605i | −0.255622 | − | 0.603401i | ||||
\(107\) | −15.8448 | + | 11.0526i | −0.148082 | + | 0.103296i | −0.643822 | − | 0.765176i | \(-0.722652\pi\) |
0.495740 | + | 0.868471i | \(0.334897\pi\) | |||||||
\(108\) | 88.4729 | − | 72.9050i | 0.819193 | − | 0.675046i | ||||
\(109\) | 8.63140 | − | 15.3259i | 0.0791871 | − | 0.140605i | −0.828884 | − | 0.559420i | \(-0.811024\pi\) |
0.908071 | + | 0.418815i | \(0.137555\pi\) | |||||||
\(110\) | 108.305 | − | 309.519i | 0.984594 | − | 2.81381i | ||||
\(111\) | −136.185 | + | 42.8056i | −1.22689 | + | 0.385636i | ||||
\(112\) | 22.3503 | − | 20.2980i | 0.199557 | − | 0.181232i | ||||
\(113\) | 121.955 | + | 76.6297i | 1.07925 | + | 0.678139i | 0.949614 | − | 0.313422i | \(-0.101476\pi\) |
0.129638 | + | 0.991561i | \(0.458618\pi\) | |||||||
\(114\) | −178.019 | + | 223.229i | −1.56157 | + | 1.95815i | ||||
\(115\) | −208.533 | − | 44.0923i | −1.81333 | − | 0.383411i | ||||
\(116\) | −136.820 | − | 95.4397i | −1.17948 | − | 0.822756i | ||||
\(117\) | 12.6801 | − | 1.01840i | 0.108377 | − | 0.00870427i | ||||
\(118\) | 41.9376 | + | 6.09210i | 0.355403 | + | 0.0516280i | ||||
\(119\) | −6.04260 | + | 33.9160i | −0.0507781 | + | 0.285008i | ||||
\(120\) | 10.7300 | + | 30.6645i | 0.0894165 | + | 0.255538i | ||||
\(121\) | 56.7678 | + | 76.0637i | 0.469155 | + | 0.628625i | ||||
\(122\) | 97.0995 | + | 166.125i | 0.795897 | + | 1.36168i | ||||
\(123\) | 6.83437 | + | 142.020i | 0.0555640 | + | 1.15463i | ||||
\(124\) | −159.589 | + | 181.486i | −1.28701 | + | 1.46360i | ||||
\(125\) | −28.4181 | − | 61.5139i | −0.227345 | − | 0.492111i | ||||
\(126\) | 1.50830 | − | 4.79863i | 0.0119707 | − | 0.0380843i | ||||
\(127\) | −85.1018 | + | 114.029i | −0.670093 | + | 0.897863i | −0.998917 | − | 0.0465281i | \(-0.985184\pi\) |
0.328824 | + | 0.944391i | \(0.393348\pi\) | |||||||
\(128\) | 42.7381 | + | 4.81543i | 0.333891 | + | 0.0376205i | ||||
\(129\) | 64.8079 | + | 103.141i | 0.502387 | + | 0.799544i | ||||
\(130\) | 95.8276 | − | 342.933i | 0.737135 | − | 2.63795i | ||||
\(131\) | −20.5128 | + | 83.6674i | −0.156586 | + | 0.638683i | 0.838942 | + | 0.544220i | \(0.183174\pi\) |
−0.995528 | + | 0.0944624i | \(0.969887\pi\) | |||||||
\(132\) | −198.646 | − | 52.0911i | −1.50489 | − | 0.394630i | ||||
\(133\) | 6.52814 | − | 67.6710i | 0.0490838 | − | 0.508804i | ||||
\(134\) | 10.7037 | + | 3.17680i | 0.0798784 | + | 0.0237075i | ||||
\(135\) | 149.956 | + | 127.660i | 1.11079 | + | 0.945626i | ||||
\(136\) | −18.3837 | + | 11.1443i | −0.135174 | + | 0.0819434i | ||||
\(137\) | 146.532 | − | 53.9252i | 1.06958 | − | 0.393615i | 0.250986 | − | 0.967991i | \(-0.419245\pi\) |
0.818592 | + | 0.574376i | \(0.194755\pi\) | |||||||
\(138\) | −32.3608 | + | 250.984i | −0.234499 | + | 1.81873i | ||||
\(139\) | 60.3677 | − | 89.5676i | 0.434300 | − | 0.644371i | −0.546938 | − | 0.837173i | \(-0.684207\pi\) |
0.981238 | + | 0.192802i | \(0.0617575\pi\) | |||||||
\(140\) | −58.7982 | − | 45.3675i | −0.419987 | − | 0.324054i | ||||
\(141\) | 39.3686 | + | 41.9772i | 0.279210 | + | 0.297710i | ||||
\(142\) | −286.724 | − | 95.1989i | −2.01918 | − | 0.670415i | ||||
\(143\) | 151.975 | + | 178.518i | 1.06276 | + | 1.24838i | ||||
\(144\) | −10.1508 | + | 4.49346i | −0.0704916 | + | 0.0312046i | ||||
\(145\) | 120.184 | − | 260.150i | 0.828852 | − | 1.79414i | ||||
\(146\) | 145.378 | + | 132.029i | 0.995740 | + | 0.904305i | ||||
\(147\) | −37.3157 | − | 133.540i | −0.253848 | − | 0.908432i | ||||
\(148\) | 203.536 | − | 6.52699i | 1.37524 | − | 0.0441013i | ||||
\(149\) | 35.2272 | + | 197.724i | 0.236424 | + | 1.32700i | 0.845535 | + | 0.533920i | \(0.179282\pi\) |
−0.609111 | + | 0.793085i | \(0.708474\pi\) | |||||||
\(150\) | −268.473 | + | 151.201i | −1.78982 | + | 1.00801i | ||||
\(151\) | −105.543 | − | 40.7731i | −0.698959 | − | 0.270020i | −0.0153637 | − | 0.999882i | \(-0.504891\pi\) |
−0.683595 | + | 0.729862i | \(0.739584\pi\) | |||||||
\(152\) | 34.4020 | − | 24.8264i | 0.226329 | − | 0.163332i | ||||
\(153\) | 6.03801 | − | 11.1348i | 0.0394641 | − | 0.0727765i | ||||
\(154\) | 87.9815 | − | 29.2119i | 0.571308 | − | 0.189687i | ||||
\(155\) | −355.019 | − | 215.215i | −2.29045 | − | 1.38848i | ||||
\(156\) | −218.879 | − | 42.6267i | −1.40307 | − | 0.273248i | ||||
\(157\) | −79.3056 | + | 7.65052i | −0.505131 | + | 0.0487294i | −0.345446 | − | 0.938439i | \(-0.612272\pi\) |
−0.159685 | + | 0.987168i | \(0.551048\pi\) | |||||||
\(158\) | −35.8528 | + | 221.762i | −0.226917 | + | 1.40356i | ||||
\(159\) | −45.6506 | − | 59.1652i | −0.287111 | − | 0.372108i | ||||
\(160\) | 22.5681 | + | 351.517i | 0.141051 | + | 2.19698i | ||||
\(161\) | −26.1443 | − | 54.2892i | −0.162387 | − | 0.337200i | ||||
\(162\) | 149.045 | − | 206.532i | 0.920032 | − | 1.27489i | ||||
\(163\) | −24.0675 | − | 36.9741i | −0.147653 | − | 0.226835i | 0.756552 | − | 0.653934i | \(-0.226883\pi\) |
−0.904205 | + | 0.427099i | \(0.859536\pi\) | |||||||
\(164\) | 45.1335 | − | 197.743i | 0.275204 | − | 1.20575i | ||||
\(165\) | 28.2426 | − | 351.649i | 0.171167 | − | 2.13121i | ||||
\(166\) | 153.082 | + | 126.145i | 0.922181 | + | 0.759911i | ||||
\(167\) | 143.343 | − | 55.3760i | 0.858341 | − | 0.331593i | 0.109213 | − | 0.994018i | \(-0.465167\pi\) |
0.749128 | + | 0.662426i | \(0.230473\pi\) | |||||||
\(168\) | −5.01039 | + | 7.69730i | −0.0298237 | + | 0.0458172i | ||||
\(169\) | 59.5307 | + | 61.4704i | 0.352253 | + | 0.363730i | ||||
\(170\) | −234.125 | − | 266.250i | −1.37721 | − | 1.56618i | ||||
\(171\) | −10.1182 | + | 22.8573i | −0.0591710 | + | 0.133668i | ||||
\(172\) | −49.4415 | − | 166.585i | −0.287451 | − | 0.968517i | ||||
\(173\) | 30.8836 | + | 158.581i | 0.178518 | + | 0.916651i | 0.957243 | + | 0.289286i | \(0.0934177\pi\) |
−0.778725 | + | 0.627365i | \(0.784133\pi\) | |||||||
\(174\) | −319.303 | − | 117.506i | −1.83507 | − | 0.675324i | ||||
\(175\) | 33.9351 | − | 65.0472i | 0.193915 | − | 0.371698i | ||||
\(176\) | −176.630 | − | 103.240i | −1.00358 | − | 0.586589i | ||||
\(177\) | 45.3039 | − | 5.10453i | 0.255954 | − | 0.0288391i | ||||
\(178\) | −87.5616 | − | 109.799i | −0.491919 | − | 0.616847i | ||||
\(179\) | −33.9344 | − | 67.6692i | −0.189578 | − | 0.378040i | 0.778897 | − | 0.627152i | \(-0.215780\pi\) |
−0.968475 | + | 0.249112i | \(0.919861\pi\) | |||||||
\(180\) | 15.2613 | + | 22.6432i | 0.0847849 | + | 0.125795i | ||||
\(181\) | −8.19384 | + | 127.626i | −0.0452699 | + | 0.705115i | 0.910959 | + | 0.412496i | \(0.135343\pi\) |
−0.956229 | + | 0.292619i | \(0.905473\pi\) | |||||||
\(182\) | 93.3055 | − | 37.7752i | 0.512667 | − | 0.207556i | ||||
\(183\) | 146.378 | + | 146.378i | 0.799878 | + | 0.799878i | ||||
\(184\) | 14.6675 | − | 34.6230i | 0.0797147 | − | 0.188169i | ||||
\(185\) | 72.3667 | + | 342.256i | 0.391171 | + | 1.85003i | ||||
\(186\) | −220.956 | + | 440.611i | −1.18793 | + | 2.36888i | ||||
\(187\) | 231.527 | − | 29.8521i | 1.23811 | − | 0.159637i | ||||
\(188\) | −37.9724 | − | 72.7859i | −0.201981 | − | 0.387159i | ||||
\(189\) | −2.67611 | + | 55.6101i | −0.0141593 | + | 0.294233i | ||||
\(190\) | 502.614 | + | 486.754i | 2.64534 | + | 2.56187i | ||||
\(191\) | −16.6673 | − | 73.0241i | −0.0872633 | − | 0.382325i | 0.912371 | − | 0.409364i | \(-0.134249\pi\) |
−0.999634 | + | 0.0270387i | \(0.991392\pi\) | |||||||
\(192\) | 241.352 | − | 35.0602i | 1.25704 | − | 0.182605i | ||||
\(193\) | 9.44117 | − | 294.411i | 0.0489180 | − | 1.52544i | −0.621473 | − | 0.783436i | \(-0.713465\pi\) |
0.670391 | − | 0.742008i | \(-0.266126\pi\) | |||||||
\(194\) | −29.0752 | − | 118.592i | −0.149872 | − | 0.611299i | ||||
\(195\) | 6.13971 | − | 383.016i | 0.0314857 | − | 1.96418i | ||||
\(196\) | 197.794i | 1.00915i | ||||||||
\(197\) | 165.876 | − | 106.274i | 0.842010 | − | 0.539461i | ||||
\(198\) | −34.0854 | −0.172148 | ||||||||
\(199\) | 61.5309 | + | 0.986335i | 0.309201 | + | 0.00495646i | 0.170435 | − | 0.985369i | \(-0.445483\pi\) |
0.138765 | + | 0.990325i | \(0.455687\pi\) | |||||||
\(200\) | 44.4662 | − | 10.9018i | 0.222331 | − | 0.0545090i | ||||
\(201\) | 12.0055 | + | 0.384993i | 0.0597288 | + | 0.00191539i | ||||
\(202\) | 20.7829 | + | 143.068i | 0.102886 | + | 0.708259i | ||||
\(203\) | 78.9829 | − | 18.0273i | 0.389078 | − | 0.0888046i | ||||
\(204\) | −154.468 | + | 159.501i | −0.757195 | + | 0.781866i | ||||
\(205\) | 348.025 | + | 16.7479i | 1.69768 | + | 0.0816971i | ||||
\(206\) | 500.084 | − | 260.893i | 2.42759 | − | 1.26647i | ||||
\(207\) | 2.83312 | + | 21.9731i | 0.0136866 | + | 0.106150i | ||||
\(208\) | −198.581 | − | 99.5834i | −0.954715 | − | 0.478766i | ||||
\(209\) | −450.723 | + | 95.3008i | −2.15657 | + | 0.455985i | ||||
\(210\) | −139.472 | − | 59.0850i | −0.664151 | − | 0.281357i | ||||
\(211\) | 57.4463 | − | 57.4463i | 0.272258 | − | 0.272258i | −0.557751 | − | 0.830008i | \(-0.688336\pi\) |
0.830008 | + | 0.557751i | \(0.188336\pi\) | |||||||
\(212\) | 40.0046 | + | 98.8120i | 0.188701 | + | 0.466094i | ||||
\(213\) | −324.352 | − | 20.8241i | −1.52278 | − | 0.0977656i | ||||
\(214\) | 46.6095 | − | 31.4144i | 0.217802 | − | 0.146796i | ||||
\(215\) | 266.834 | − | 133.811i | 1.24109 | − | 0.622375i | ||||
\(216\) | −27.1627 | + | 21.6616i | −0.125753 | + | 0.100285i | ||||
\(217\) | −13.1409 | − | 116.628i | −0.0605570 | − | 0.537458i | ||||
\(218\) | −25.8244 | + | 44.1823i | −0.118460 | + | 0.202671i | ||||
\(219\) | 187.313 | + | 97.7212i | 0.855312 | + | 0.446216i | ||||
\(220\) | −173.805 | + | 472.283i | −0.790021 | + | 2.14674i | ||||
\(221\) | 248.809 | − | 48.4555i | 1.12583 | − | 0.219256i | ||||
\(222\) | 398.172 | − | 118.175i | 1.79357 | − | 0.532321i | ||||
\(223\) | 102.954 | + | 45.5746i | 0.461677 | + | 0.204371i | 0.622511 | − | 0.782611i | \(-0.286112\pi\) |
−0.160835 | + | 0.986981i | \(0.551419\pi\) | |||||||
\(224\) | −74.7801 | + | 65.7573i | −0.333840 | + | 0.293559i | ||||
\(225\) | −19.3778 | + | 18.7664i | −0.0861237 | + | 0.0834062i | ||||
\(226\) | −351.208 | − | 228.611i | −1.55402 | − | 1.01155i | ||||
\(227\) | 93.6866 | + | 242.512i | 0.412717 | + | 1.06833i | 0.971084 | + | 0.238739i | \(0.0767342\pi\) |
−0.558367 | + | 0.829594i | \(0.688572\pi\) | |||||||
\(228\) | 278.656 | − | 338.159i | 1.22217 | − | 1.48315i | ||||
\(229\) | 68.5452 | + | 5.50519i | 0.299324 | + | 0.0240401i | 0.228811 | − | 0.973471i | \(-0.426516\pi\) |
0.0705127 | + | 0.997511i | \(0.477536\pi\) | |||||||
\(230\) | 604.590 | + | 137.994i | 2.62865 | + | 0.599973i | ||||
\(231\) | 83.5846 | − | 54.4076i | 0.361838 | − | 0.235531i | ||||
\(232\) | 40.9950 | + | 29.5843i | 0.176702 | + | 0.127518i | ||||
\(233\) | −74.0065 | + | 35.6397i | −0.317625 | + | 0.152960i | −0.585902 | − | 0.810382i | \(-0.699260\pi\) |
0.268278 | + | 0.963342i | \(0.413545\pi\) | |||||||
\(234\) | −36.9353 | + | 2.37133i | −0.157843 | + | 0.0101339i | ||||
\(235\) | 111.655 | − | 86.1509i | 0.475128 | − | 0.366600i | ||||
\(236\) | −64.2021 | − | 10.3797i | −0.272043 | − | 0.0439818i | ||||
\(237\) | 23.2062 | + | 240.556i | 0.0979163 | + | 1.01501i | ||||
\(238\) | 19.1602 | − | 98.3834i | 0.0805049 | − | 0.413376i | ||||
\(239\) | −152.723 | + | 251.933i | −0.639009 | + | 1.05411i | 0.353906 | + | 0.935281i | \(0.384853\pi\) |
−0.992915 | + | 0.118831i | \(0.962085\pi\) | |||||||
\(240\) | 105.335 | + | 317.251i | 0.438894 | + | 1.32188i | ||||
\(241\) | 312.687 | + | 169.559i | 1.29746 | + | 0.703564i | 0.970414 | − | 0.241445i | \(-0.0776215\pi\) |
0.327042 | + | 0.945010i | \(0.393948\pi\) | |||||||
\(242\) | −161.597 | − | 223.925i | −0.667755 | − | 0.925309i | ||||
\(243\) | 15.4705 | − | 40.0459i | 0.0636645 | − | 0.164798i | ||||
\(244\) | −144.910 | − | 257.302i | −0.593893 | − | 1.05452i | ||||
\(245\) | −334.512 | + | 59.5980i | −1.36536 | + | 0.243257i | ||||
\(246\) | −13.2592 | − | 413.469i | −0.0538990 | − | 1.68077i | ||||
\(247\) | −481.778 | + | 134.626i | −1.95052 | + | 0.545044i | ||||
\(248\) | 49.2393 | − | 54.2179i | 0.198546 | − | 0.218621i | ||||
\(249\) | 193.725 | + | 89.4967i | 0.778011 | + | 0.359424i | ||||
\(250\) | 79.8027 | + | 180.276i | 0.319211 | + | 0.721103i | ||||
\(251\) | 118.198 | − | 100.623i | 0.470907 | − | 0.400889i | −0.381006 | − | 0.924573i | \(-0.624422\pi\) |
0.851913 | + | 0.523684i | \(0.175443\pi\) | |||||||
\(252\) | −2.43248 | + | 7.32625i | −0.00965271 | + | 0.0290724i | ||||
\(253\) | −297.829 | + | 279.321i | −1.17719 | + | 1.10403i | ||||
\(254\) | 252.888 | − | 327.753i | 0.995621 | − | 1.29037i | ||||
\(255\) | −316.293 | − | 213.179i | −1.24037 | − | 0.835995i | ||||
\(256\) | 185.004 | + | 23.8536i | 0.722671 | + | 0.0931782i | ||||
\(257\) | −121.337 | − | 329.712i | −0.472129 | − | 1.28293i | −0.921081 | − | 0.389372i | \(-0.872692\pi\) |
0.448952 | − | 0.893556i | \(-0.351798\pi\) | |||||||
\(258\) | −183.724 | − | 303.071i | −0.712107 | − | 1.17469i | ||||
\(259\) | −64.1073 | + | 75.3041i | −0.247519 | + | 0.290749i | ||||
\(260\) | −155.480 | + | 523.863i | −0.597999 | + | 2.01486i | ||||
\(261\) | −29.6495 | − | 2.86025i | −0.113600 | − | 0.0109588i | ||||
\(262\) | 63.5755 | − | 242.441i | 0.242655 | − | 0.925348i | ||||
\(263\) | 291.534 | + | 71.4755i | 1.10849 | + | 0.271770i | 0.749787 | − | 0.661680i | \(-0.230156\pi\) |
0.358708 | + | 0.933450i | \(0.383217\pi\) | |||||||
\(264\) | 59.9397 | + | 16.7493i | 0.227044 | + | 0.0634443i | ||||
\(265\) | −155.059 | + | 97.4298i | −0.585127 | + | 0.367660i | ||||
\(266\) | −22.1467 | + | 196.558i | −0.0832585 | + | 0.738939i | ||||
\(267\) | −121.082 | − | 90.3655i | −0.453489 | − | 0.338448i | ||||
\(268\) | −16.3464 | − | 5.13799i | −0.0609939 | − | 0.0191716i | ||||
\(269\) | −396.088 | + | 182.984i | −1.47245 | + | 0.680239i | −0.981590 | − | 0.191002i | \(-0.938826\pi\) |
−0.490857 | + | 0.871240i | \(0.663316\pi\) | |||||||
\(270\) | −430.286 | − | 378.368i | −1.59365 | − | 1.40136i | ||||
\(271\) | −285.226 | + | 13.7259i | −1.05249 | + | 0.0506489i | −0.567102 | − | 0.823647i | \(-0.691936\pi\) |
−0.485393 | + | 0.874296i | \(0.661323\pi\) | |||||||
\(272\) | −190.972 | + | 111.623i | −0.702104 | + | 0.410377i | ||||
\(273\) | 86.7881 | − | 64.7717i | 0.317905 | − | 0.237259i | ||||
\(274\) | −428.793 | + | 150.041i | −1.56494 | + | 0.547595i | ||||
\(275\) | −489.450 | − | 87.2022i | −1.77982 | − | 0.317099i | ||||
\(276\) | 55.8303 | − | 384.332i | 0.202284 | − | 1.39251i | ||||
\(277\) | 13.9571 | + | 173.780i | 0.0503866 | + | 0.627364i | 0.971340 | + | 0.237693i | \(0.0763911\pi\) |
−0.920954 | + | 0.389672i | \(0.872588\pi\) | |||||||
\(278\) | −179.793 | + | 257.747i | −0.646737 | + | 0.927147i | ||||
\(279\) | −8.92693 | + | 42.2197i | −0.0319962 | + | 0.151325i | ||||
\(280\) | 17.5964 | + | 14.0327i | 0.0628442 | + | 0.0501166i | ||||
\(281\) | 16.9560 | − | 26.9853i | 0.0603415 | − | 0.0960329i | −0.815191 | − | 0.579192i | \(-0.803368\pi\) |
0.875532 | + | 0.483159i | \(0.160511\pi\) | |||||||
\(282\) | −112.570 | − | 123.952i | −0.399184 | − | 0.439546i | ||||
\(283\) | −140.453 | − | 446.848i | −0.496302 | − | 1.57897i | −0.783688 | − | 0.621155i | \(-0.786664\pi\) |
0.287386 | − | 0.957815i | \(-0.407214\pi\) | |||||||
\(284\) | 437.628 | + | 153.133i | 1.54094 | + | 0.539199i | ||||
\(285\) | 655.863 | + | 369.375i | 2.30127 | + | 1.29605i | ||||
\(286\) | −433.786 | − | 526.416i | −1.51673 | − | 1.84061i | ||||
\(287\) | 56.3545 | + | 80.7884i | 0.196357 | + | 0.281493i | ||||
\(288\) | 33.7129 | − | 14.2819i | 0.117059 | − | 0.0495901i | ||||
\(289\) | −13.7351 | + | 33.9258i | −0.0475261 | + | 0.117390i | ||||
\(290\) | −361.758 | + | 751.199i | −1.24744 | + | 2.59034i | ||||
\(291\) | −62.6185 | − | 115.476i | −0.215184 | − | 0.396825i | ||||
\(292\) | −219.831 | − | 206.170i | −0.752845 | − | 0.706061i | ||||
\(293\) | −11.7038 | + | 1.89219i | −0.0399448 | + | 0.00645797i | −0.179540 | − | 0.983751i | \(-0.557461\pi\) |
0.139595 | + | 0.990209i | \(0.455420\pi\) | |||||||
\(294\) | 102.328 | + | 390.221i | 0.348054 | + | 1.32728i | ||||
\(295\) | −1.79066 | − | 111.707i | −0.00607002 | − | 0.378668i | ||||
\(296\) | −61.7061 | + | 0.989143i | −0.208467 | + | 0.00334170i | ||||
\(297\) | 364.928 | − | 95.6955i | 1.22872 | − | 0.322207i | ||||
\(298\) | −93.2594 | − | 576.842i | −0.312951 | − | 1.93571i | ||||
\(299\) | −303.298 | + | 323.395i | −1.01437 | + | 1.08159i | ||||
\(300\) | 415.683 | − | 225.410i | 1.38561 | − | 0.751367i | ||||
\(301\) | 76.0314 | + | 36.6148i | 0.252596 | + | 0.121644i | ||||
\(302\) | 305.134 | + | 123.535i | 1.01038 | + | 0.409056i | ||||
\(303\) | 60.6685 | + | 143.210i | 0.200226 | + | 0.472639i | ||||
\(304\) | 358.028 | − | 249.745i | 1.17772 | − | 0.821529i | ||||
\(305\) | 391.491 | − | 322.603i | 1.28358 | − | 1.05771i | ||||
\(306\) | −18.0845 | + | 32.1108i | −0.0590995 | + | 0.104937i | ||||
\(307\) | 28.0278 | − | 80.0989i | 0.0912958 | − | 0.260908i | −0.889177 | − | 0.457564i | \(-0.848722\pi\) |
0.980473 | + | 0.196655i | \(0.0630079\pi\) | |||||||
\(308\) | −135.724 | + | 42.6606i | −0.440661 | + | 0.138509i | ||||
\(309\) | 449.208 | − | 407.959i | 1.45375 | − | 1.32025i | ||||
\(310\) | 1022.75 | + | 642.638i | 3.29920 | + | 2.07303i | ||||
\(311\) | −138.089 | + | 173.158i | −0.444016 | + | 0.556778i | −0.952597 | − | 0.304236i | \(-0.901599\pi\) |
0.508581 | + | 0.861014i | \(0.330170\pi\) | |||||||
\(312\) | 66.1166 | + | 13.9797i | 0.211912 | + | 0.0448067i | ||||
\(313\) | 4.53056 | + | 3.16032i | 0.0144746 | + | 0.0100969i | 0.579332 | − | 0.815092i | \(-0.303314\pi\) |
−0.564857 | + | 0.825189i | \(0.691069\pi\) | |||||||
\(314\) | 231.065 | − | 18.5579i | 0.735877 | − | 0.0591017i | ||||
\(315\) | −13.1232 | − | 1.90635i | −0.0416610 | − | 0.00605192i | ||||
\(316\) | 60.4699 | − | 339.406i | 0.191360 | − | 1.07407i | ||||
\(317\) | 74.0744 | + | 211.693i | 0.233673 | + | 0.667800i | 0.999688 | + | 0.0249768i | \(0.00795120\pi\) |
−0.766015 | + | 0.642823i | \(0.777763\pi\) | |||||||
\(318\) | 130.044 | + | 174.247i | 0.408942 | + | 0.547945i | ||||
\(319\) | −277.024 | − | 473.953i | −0.868414 | − | 1.48575i | ||||
\(320\) | −28.7273 | − | 596.959i | −0.0897727 | − | 1.86550i | ||||
\(321\) | 39.9307 | − | 45.4098i | 0.124395 | − | 0.141464i | ||||
\(322\) | 73.5249 | + | 159.152i | 0.228338 | + | 0.494262i | ||||
\(323\) | −149.357 | + | 475.175i | −0.462406 | + | 1.47113i | ||||
\(324\) | −233.785 | + | 313.251i | −0.721560 | + | 0.966825i | ||||
\(325\) | −536.440 | − | 60.4422i | −1.65058 | − | 0.185976i | ||||
\(326\) | 68.2907 | + | 108.684i | 0.209481 | + | 0.333387i | ||||
\(327\) | −14.8169 | + | 53.0244i | −0.0453116 | + | 0.162154i | ||||
\(328\) | −14.6366 | + | 59.6998i | −0.0446239 | + | 0.182012i | ||||
\(329\) | 38.5651 | + | 10.1130i | 0.117219 | + | 0.0307385i | ||||
\(330\) | −98.5592 | + | 1021.67i | −0.298664 | + | 3.09597i | ||||
\(331\) | 566.801 | + | 168.224i | 1.71239 | + | 0.508229i | 0.984187 | − | 0.177132i | \(-0.0566820\pi\) |
0.728204 | + | 0.685361i | \(0.240355\pi\) | |||||||
\(332\) | −231.797 | − | 197.332i | −0.698183 | − | 0.594372i | ||||
\(333\) | 31.0947 | − | 18.8498i | 0.0933776 | − | 0.0566060i | ||||
\(334\) | −419.582 | + | 154.410i | −1.25623 | + | 0.462306i | ||||
\(335\) | 3.76407 | − | 29.1934i | 0.0112360 | − | 0.0871445i | ||||
\(336\) | −52.8171 | + | 78.3647i | −0.157194 | + | 0.233228i | ||||
\(337\) | −89.4921 | − | 69.0503i | −0.265555 | − | 0.204897i | 0.469449 | − | 0.882960i | \(-0.344453\pi\) |
−0.735004 | + | 0.678062i | \(0.762820\pi\) | |||||||
\(338\) | −170.315 | − | 181.600i | −0.503890 | − | 0.537278i | ||||
\(339\) | −427.862 | − | 142.060i | −1.26213 | − | 0.419056i | ||||
\(340\) | 352.709 | + | 414.312i | 1.03738 | + | 1.21857i | ||||
\(341\) | −727.242 | + | 321.928i | −2.13267 | + | 0.944071i | ||||
\(342\) | 30.5010 | − | 66.0225i | 0.0891841 | − | 0.193048i | ||||
\(343\) | −149.766 | − | 136.013i | −0.436635 | − | 0.396540i | ||||
\(344\) | 14.1724 | + | 50.7179i | 0.0411988 | + | 0.147436i | ||||
\(345\) | 666.810 | − | 21.3833i | 1.93278 | − | 0.0619806i | ||||
\(346\) | −82.4486 | − | 462.768i | −0.238291 | − | 1.33748i | ||||
\(347\) | 435.741 | − | 245.405i | 1.25574 | − | 0.707219i | 0.287628 | − | 0.957742i | \(-0.407133\pi\) |
0.968111 | + | 0.250523i | \(0.0806027\pi\) | |||||||
\(348\) | 487.071 | + | 188.164i | 1.39963 | + | 0.540702i | ||||
\(349\) | −471.398 | + | 340.187i | −1.35071 | + | 0.974748i | −0.351453 | + | 0.936206i | \(0.614312\pi\) |
−0.999257 | + | 0.0385423i | \(0.987729\pi\) | |||||||
\(350\) | −101.754 | + | 187.647i | −0.290726 | + | 0.536134i | ||||
\(351\) | 388.783 | − | 129.085i | 1.10764 | − | 0.367763i | ||||
\(352\) | 577.034 | + | 349.801i | 1.63930 | + | 0.993754i | ||||
\(353\) | −62.3597 | − | 12.1446i | −0.176656 | − | 0.0344038i | 0.102055 | − | 0.994779i | \(-0.467458\pi\) |
−0.278711 | + | 0.960375i | \(0.589907\pi\) | |||||||
\(354\) | −132.032 | + | 12.7370i | −0.372972 | + | 0.0359801i | ||||
\(355\) | −127.117 | + | 786.264i | −0.358076 | + | 2.21483i | ||||
\(356\) | 131.660 | + | 170.637i | 0.369831 | + | 0.479316i | ||||
\(357\) | −6.90874 | − | 107.609i | −0.0193522 | − | 0.301426i | ||||
\(358\) | 95.5634 | + | 198.439i | 0.266937 | + | 0.554300i | ||||
\(359\) | 244.786 | − | 339.201i | 0.681856 | − | 0.944849i | −0.318139 | − | 0.948044i | \(-0.603058\pi\) |
0.999995 | + | 0.00319521i | \(0.00101707\pi\) | |||||||
\(360\) | −4.51442 | − | 6.93535i | −0.0125400 | − | 0.0192649i | ||||
\(361\) | 138.400 | − | 606.368i | 0.383378 | − | 1.67969i | ||||
\(362\) | 29.7883 | − | 370.895i | 0.0822882 | − | 1.02457i | ||||
\(363\) | −229.268 | − | 188.925i | −0.631592 | − | 0.520455i | ||||
\(364\) | −144.104 | + | 55.6698i | −0.395889 | + | 0.152939i | ||||
\(365\) | 282.440 | − | 433.903i | 0.773807 | − | 1.18878i | ||||
\(366\) | −419.002 | − | 432.654i | −1.14482 | − | 1.18212i | ||||
\(367\) | 129.715 | + | 147.513i | 0.353446 | + | 0.401944i | 0.900290 | − | 0.435291i | \(-0.143354\pi\) |
−0.546844 | + | 0.837235i | \(0.684171\pi\) | |||||||
\(368\) | 156.612 | − | 353.789i | 0.425575 | − | 0.961382i | ||||
\(369\) | −10.3047 | − | 34.7201i | −0.0279261 | − | 0.0940923i | ||||
\(370\) | −194.562 | − | 999.035i | −0.525844 | − | 2.70010i | ||||
\(371\) | −48.5853 | − | 17.8798i | −0.130958 | − | 0.0481936i | ||||
\(372\) | 349.888 | − | 670.669i | 0.940558 | − | 1.80287i | ||||
\(373\) | 182.760 | + | 106.823i | 0.489973 | + | 0.286388i | 0.728863 | − | 0.684659i | \(-0.240049\pi\) |
−0.238890 | + | 0.971047i | \(0.576784\pi\) | |||||||
\(374\) | −674.930 | + | 76.0463i | −1.80463 | + | 0.203332i | ||||
\(375\) | 132.240 | + | 165.823i | 0.352639 | + | 0.442195i | ||||
\(376\) | 11.1527 | + | 22.2397i | 0.0296613 | + | 0.0591481i | ||||
\(377\) | −333.159 | − | 494.309i | −0.883712 | − | 1.31116i | ||||
\(378\) | 10.3783 | − | 161.651i | 0.0274559 | − | 0.427648i | ||||
\(379\) | −447.381 | + | 181.124i | −1.18042 | + | 0.477901i | −0.879570 | − | 0.475770i | \(-0.842170\pi\) |
−0.300854 | + | 0.953670i | \(0.597272\pi\) | |||||||
\(380\) | −759.273 | − | 759.273i | −1.99809 | − | 1.99809i | ||||
\(381\) | 173.723 | − | 410.079i | 0.455967 | − | 1.07632i | ||||
\(382\) | 45.0816 | + | 213.212i | 0.118015 | + | 0.558148i | ||||
\(383\) | −75.4786 | + | 150.513i | −0.197072 | + | 0.392984i | −0.970572 | − | 0.240813i | \(-0.922586\pi\) |
0.773500 | + | 0.633797i | \(0.218504\pi\) | |||||||
\(384\) | −133.514 | + | 17.2147i | −0.347693 | + | 0.0448300i | ||||
\(385\) | −113.044 | − | 216.684i | −0.293620 | − | 0.562815i | ||||
\(386\) | −41.1946 | + | 856.032i | −0.106722 | + | 2.21770i | ||||
\(387\) | −22.2888 | − | 21.5855i | −0.0575939 | − | 0.0557766i | ||||
\(388\) | 41.6980 | + | 182.691i | 0.107469 | + | 0.470853i | ||||
\(389\) | −497.672 | + | 72.2947i | −1.27936 | + | 0.185848i | −0.749368 | − | 0.662154i | \(-0.769643\pi\) |
−0.529994 | + | 0.848001i | \(0.677806\pi\) | |||||||
\(390\) | −35.7222 | + | 1113.95i | −0.0915953 | + | 2.85628i | ||||
\(391\) | 105.122 | + | 428.772i | 0.268855 | + | 1.09660i | ||||
\(392\) | 0.960746 | − | 59.9346i | 0.00245088 | − | 0.152894i | ||||
\(393\) | − | 269.640i | − | 0.686107i | ||||||
\(394\) | −487.507 | + | 301.427i | −1.23733 | + | 0.765043i | ||||
\(395\) | 592.229 | 1.49931 | ||||||||
\(396\) | 52.3030 | + | 0.838412i | 0.132078 | + | 0.00211720i | ||||
\(397\) | 496.520 | − | 121.732i | 1.25068 | − | 0.306630i | 0.443145 | − | 0.896450i | \(-0.353863\pi\) |
0.807535 | + | 0.589820i | \(0.200801\pi\) | |||||||
\(398\) | −178.954 | − | 5.73871i | −0.449634 | − | 0.0144189i | ||||
\(399\) | 30.5912 | + | 210.587i | 0.0766696 | + | 0.527788i | ||||
\(400\) | 459.273 | − | 104.826i | 1.14818 | − | 0.262065i | ||||
\(401\) | 101.186 | − | 104.483i | 0.252335 | − | 0.260557i | −0.580269 | − | 0.814425i | \(-0.697053\pi\) |
0.832605 | + | 0.553868i | \(0.186849\pi\) | |||||||
\(402\) | −34.9073 | − | 1.67983i | −0.0868341 | − | 0.00417869i | ||||
\(403\) | −765.651 | + | 399.439i | −1.89988 | + | 0.991165i | ||||
\(404\) | −28.3717 | − | 220.045i | −0.0702269 | − | 0.544666i | ||||
\(405\) | −600.218 | − | 300.995i | −1.48202 | − | 0.743197i | ||||
\(406\) | −230.610 | + | 48.7603i | −0.568006 | + | 0.120099i | ||||
\(407\) | 617.063 | + | 261.409i | 1.51613 | + | 0.642283i | ||||
\(408\) | 47.5808 | − | 47.5808i | 0.116620 | − | 0.116620i | ||||
\(409\) | 91.7027 | + | 226.508i | 0.224212 | + | 0.553808i | 0.996696 | − | 0.0812266i | \(-0.0258837\pi\) |
−0.772484 | + | 0.635035i | \(0.780986\pi\) | |||||||
\(410\) | −1011.66 | − | 64.9508i | −2.46747 | − | 0.158417i | ||||
\(411\) | −405.270 | + | 273.148i | −0.986059 | + | 0.664594i | ||||
\(412\) | −773.781 | + | 388.032i | −1.87811 | + | 0.941826i | ||||
\(413\) | 24.6934 | − | 19.6923i | 0.0597903 | − | 0.0476812i | ||||
\(414\) | −7.21719 | − | 64.0543i | −0.0174328 | − | 0.154721i | ||||
\(415\) | 263.887 | − | 451.477i | 0.635872 | − | 1.08790i | ||||
\(416\) | 649.616 | + | 338.904i | 1.56158 | + | 0.814674i | ||||
\(417\) | −116.763 | + | 317.282i | −0.280006 | + | 0.760867i | ||||
\(418\) | 1315.65 | − | 256.222i | 3.14748 | − | 0.612971i | ||||
\(419\) | −716.734 | + | 212.723i | −1.71058 | + | 0.507692i | −0.983814 | − | 0.179190i | \(-0.942652\pi\) |
−0.726769 | + | 0.686882i | \(0.758979\pi\) | |||||||
\(420\) | 212.562 | + | 94.0949i | 0.506100 | + | 0.224035i | ||||
\(421\) | 249.515 | − | 219.409i | 0.592672 | − | 0.521162i | −0.310425 | − | 0.950598i | \(-0.600471\pi\) |
0.903097 | + | 0.429436i | \(0.141288\pi\) | |||||||
\(422\) | −169.797 | + | 164.439i | −0.402361 | + | 0.389665i | ||||
\(423\) | −12.2855 | − | 7.99700i | −0.0290438 | − | 0.0189054i | ||||
\(424\) | −11.6420 | − | 30.1359i | −0.0274576 | − | 0.0710751i | ||||
\(425\) | −341.835 | + | 414.829i | −0.804317 | + | 0.976068i | ||||
\(426\) | 942.603 | + | 75.7049i | 2.21268 | + | 0.177711i | ||||
\(427\) | 139.815 | + | 31.9119i | 0.327436 | + | 0.0747352i | ||||
\(428\) | −72.2937 | + | 47.0580i | −0.168910 | + | 0.109949i | ||||
\(429\) | −595.062 | − | 429.430i | −1.38709 | − | 1.00100i | ||||
\(430\) | −782.488 | + | 376.826i | −1.81974 | + | 0.876340i | ||||
\(431\) | 261.130 | − | 16.7651i | 0.605869 | − | 0.0388981i | 0.241888 | − | 0.970304i | \(-0.422233\pi\) |
0.363981 | + | 0.931406i | \(0.381417\pi\) | |||||||
\(432\) | −283.027 | + | 218.378i | −0.655155 | + | 0.505505i | ||||
\(433\) | 791.895 | + | 128.028i | 1.82886 | + | 0.295676i | 0.974563 | − | 0.224113i | \(-0.0719486\pi\) |
0.854295 | + | 0.519789i | \(0.173989\pi\) | |||||||
\(434\) | 32.7895 | + | 339.898i | 0.0755519 | + | 0.783174i | ||||
\(435\) | −171.465 | + | 880.438i | −0.394173 | + | 2.02400i | ||||
\(436\) | 40.7135 | − | 67.1612i | 0.0933796 | − | 0.154039i | ||||
\(437\) | −274.528 | − | 826.833i | −0.628210 | − | 1.89207i | ||||
\(438\) | −540.358 | − | 293.017i | −1.23369 | − | 0.668988i | ||||
\(439\) | 463.005 | + | 641.587i | 1.05468 | + | 1.46147i | 0.878878 | + | 0.477047i | \(0.158293\pi\) |
0.175803 | + | 0.984425i | \(0.443748\pi\) | |||||||
\(440\) | 54.9595 | − | 142.265i | 0.124908 | − | 0.323329i | ||||
\(441\) | 17.3312 | + | 30.7733i | 0.0392998 | + | 0.0697808i | ||||
\(442\) | −726.071 | + | 129.360i | −1.64269 | + | 0.292669i | ||||
\(443\) | −12.2883 | − | 383.196i | −0.0277389 | − | 0.865001i | −0.914933 | − | 0.403605i | \(-0.867757\pi\) |
0.887194 | − | 0.461396i | \(-0.152651\pi\) | |||||||
\(444\) | −613.890 | + | 171.543i | −1.38263 | + | 0.386357i | ||||
\(445\) | −248.913 | + | 274.080i | −0.559354 | + | 0.615911i | ||||
\(446\) | −297.379 | − | 137.383i | −0.666769 | − | 0.308033i | ||||
\(447\) | −254.460 | − | 574.830i | −0.569262 | − | 1.28597i | ||||
\(448\) | 128.652 | − | 109.523i | 0.287170 | − | 0.244471i | ||||
\(449\) | 35.3466 | − | 106.458i | 0.0787229 | − | 0.237101i | −0.902261 | − | 0.431191i | \(-0.858094\pi\) |
0.980984 | + | 0.194090i | \(0.0621753\pi\) | |||||||
\(450\) | 57.2473 | − | 53.6898i | 0.127216 | − | 0.119311i | ||||
\(451\) | 407.747 | − | 528.458i | 0.904096 | − | 1.17175i | ||||
\(452\) | 533.295 | + | 359.436i | 1.17986 | + | 0.795212i | ||||
\(453\) | 351.242 | + | 45.2877i | 0.775369 | + | 0.0999728i | ||||
\(454\) | −261.236 | − | 709.862i | −0.575409 | − | 1.56357i | ||||
\(455\) | −137.570 | − | 226.936i | −0.302352 | − | 0.498761i | ||||
\(456\) | −86.0794 | + | 101.114i | −0.188771 | + | 0.221741i | ||||
\(457\) | −67.1930 | + | 226.395i | −0.147031 | + | 0.495395i | −0.999631 | − | 0.0271688i | \(-0.991351\pi\) |
0.852600 | + | 0.522564i | \(0.175024\pi\) | |||||||
\(458\) | −199.149 | − | 19.2116i | −0.434823 | − | 0.0419468i | ||||
\(459\) | 103.466 | − | 394.560i | 0.225416 | − | 0.859608i | ||||
\(460\) | −924.331 | − | 226.619i | −2.00941 | − | 0.492649i | ||||
\(461\) | 732.877 | + | 204.792i | 1.58976 | + | 0.444234i | 0.946840 | − | 0.321704i | \(-0.104256\pi\) |
0.642915 | + | 0.765938i | \(0.277725\pi\) | |||||||
\(462\) | −245.694 | + | 154.380i | −0.531805 | + | 0.334155i | ||||
\(463\) | −65.4972 | + | 581.304i | −0.141463 | + | 1.25552i | 0.699583 | + | 0.714551i | \(0.253369\pi\) |
−0.841046 | + | 0.540964i | \(0.818060\pi\) | |||||||
\(464\) | 416.884 | + | 311.128i | 0.898457 | + | 0.670536i | ||||
\(465\) | 1239.67 | + | 389.654i | 2.66596 | + | 0.837966i | ||||
\(466\) | 216.955 | − | 100.229i | 0.465569 | − | 0.215083i | ||||
\(467\) | 252.836 | + | 222.329i | 0.541404 | + | 0.476079i | 0.886655 | − | 0.462431i | \(-0.153023\pi\) |
−0.345252 | + | 0.938510i | \(0.612206\pi\) | |||||||
\(468\) | 56.7345 | − | 2.73022i | 0.121227 | − | 0.00583379i | ||||
\(469\) | 7.18420 | − | 4.19914i | 0.0153181 | − | 0.00895339i | ||||
\(470\) | −328.834 | + | 245.415i | −0.699648 | + | 0.522161i | ||||
\(471\) | 235.389 | − | 82.3663i | 0.499765 | − | 0.174875i | ||||
\(472\) | 19.4038 | + | 3.45705i | 0.0411097 | + | 0.00732427i | ||||
\(473\) | 82.2062 | − | 565.902i | 0.173798 | − | 1.19641i | ||||
\(474\) | −56.2915 | − | 700.886i | −0.118758 | − | 1.47866i | ||||
\(475\) | 606.887 | − | 870.019i | 1.27766 | − | 1.83162i | ||||
\(476\) | −31.8207 | + | 150.495i | −0.0668502 | + | 0.316166i | ||||
\(477\) | 14.8822 | + | 11.8681i | 0.0311995 | + | 0.0248808i | ||||
\(478\) | 456.037 | − | 725.778i | 0.954051 | − | 1.51836i | ||||
\(479\) | 135.896 | + | 149.636i | 0.283707 | + | 0.312393i | 0.865465 | − | 0.500969i | \(-0.167023\pi\) |
−0.581759 | + | 0.813362i | \(0.697635\pi\) | |||||||
\(480\) | −330.602 | − | 1051.80i | −0.688754 | − | 2.19125i | ||||
\(481\) | 686.843 | + | 240.337i | 1.42795 | + | 0.499660i | ||||
\(482\) | −901.734 | − | 507.847i | −1.87082 | − | 1.05362i | ||||
\(483\) | 119.943 | + | 145.555i | 0.248328 | + | 0.301356i | ||||
\(484\) | 242.457 | + | 347.581i | 0.500945 | + | 0.718142i | ||||
\(485\) | −296.406 | + | 125.568i | −0.611146 | + | 0.258902i | ||||
\(486\) | −46.8727 | + | 115.777i | −0.0964459 | + | 0.238223i | ||||
\(487\) | −178.673 | + | 371.019i | −0.366886 | + | 0.761846i | −0.999925 | − | 0.0122740i | \(-0.996093\pi\) |
0.633039 | + | 0.774120i | \(0.281807\pi\) | |||||||
\(488\) | 42.6601 | + | 78.6704i | 0.0874183 | + | 0.161210i | ||||
\(489\) | 100.724 | + | 94.4643i | 0.205979 | + | 0.193178i | ||||
\(490\) | 975.912 | − | 157.778i | 1.99166 | − | 0.321996i | ||||
\(491\) | 34.7363 | + | 132.465i | 0.0707461 | + | 0.269785i | 0.993216 | − | 0.116283i | \(-0.0370981\pi\) |
−0.922470 | + | 0.386069i | \(0.873833\pi\) | |||||||
\(492\) | 10.1755 | + | 634.783i | 0.0206819 | + | 1.29021i | ||||
\(493\) | −593.476 | + | 9.51336i | −1.20380 | + | 0.0192969i | ||||
\(494\) | 1407.82 | − | 369.175i | 2.84984 | − | 0.747317i | ||||
\(495\) | 14.3417 | + | 88.7083i | 0.0289731 | + | 0.179209i | ||||
\(496\) | 515.523 | − | 549.683i | 1.03936 | − | 1.10823i | ||||
\(497\) | −197.937 | + | 107.334i | −0.398263 | + | 0.215964i | ||||
\(498\) | −559.393 | − | 269.389i | −1.12328 | − | 0.540943i | ||||
\(499\) | 585.047 | + | 236.859i | 1.17244 | + | 0.474668i | 0.876905 | − | 0.480664i | \(-0.159604\pi\) |
0.295534 | + | 0.955332i | \(0.404502\pi\) | |||||||
\(500\) | −118.021 | − | 278.591i | −0.236041 | − | 0.557181i | ||||
\(501\) | −394.494 | + | 275.182i | −0.787412 | + | 0.549265i | ||||
\(502\) | −348.542 | + | 287.212i | −0.694307 | + | 0.572135i | ||||
\(503\) | −221.427 | + | 393.166i | −0.440213 | + | 0.781642i | −0.998859 | − | 0.0477640i | \(-0.984790\pi\) |
0.558646 | + | 0.829406i | \(0.311321\pi\) | |||||||
\(504\) | 0.772665 | − | 2.20815i | 0.00153306 | − | 0.00438125i | ||||
\(505\) | 363.595 | − | 114.285i | 0.719990 | − | 0.226307i | ||||
\(506\) | 879.441 | − | 798.685i | 1.73803 | − | 1.57843i | ||||
\(507\) | −226.790 | − | 142.502i | −0.447319 | − | 0.281069i | ||||
\(508\) | −396.111 | + | 496.707i | −0.779745 | + | 0.977769i | ||||
\(509\) | −340.619 | − | 72.0204i | −0.669192 | − | 0.141494i | −0.140203 | − | 0.990123i | \(-0.544776\pi\) |
−0.528989 | + | 0.848629i | \(0.677429\pi\) | |||||||
\(510\) | 910.191 | + | 634.910i | 1.78469 | + | 1.24492i | ||||
\(511\) | 145.894 | − | 11.7174i | 0.285507 | − | 0.0229304i | ||||
\(512\) | −707.331 | − | 102.751i | −1.38151 | − | 0.200686i | ||||
\(513\) | −141.193 | + | 792.489i | −0.275230 | + | 1.54481i | ||||
\(514\) | 337.608 | + | 964.828i | 0.656824 | + | 1.87710i | ||||
\(515\) | −889.397 | − | 1191.71i | −1.72698 | − | 2.31400i | ||||
\(516\) | 274.464 | + | 469.573i | 0.531906 | + | 0.910025i | ||||
\(517\) | −12.9860 | − | 269.852i | −0.0251180 | − | 0.521958i | ||||
\(518\) | 190.007 | − | 216.078i | 0.366808 | − | 0.417140i | ||||
\(519\) | −212.081 | − | 459.071i | −0.408634 | − | 0.884531i | ||||
\(520\) | 49.6573 | − | 157.983i | 0.0954948 | − | 0.303814i | ||||
\(521\) | 23.2859 | − | 31.2010i | 0.0446947 | − | 0.0598868i | −0.778507 | − | 0.627636i | \(-0.784023\pi\) |
0.823201 | + | 0.567749i | \(0.192186\pi\) | |||||||
\(522\) | 86.1203 | + | 9.70342i | 0.164981 | + | 0.0185889i | ||||
\(523\) | −32.7219 | − | 52.0766i | −0.0625658 | − | 0.0995729i | 0.813976 | − | 0.580898i | \(-0.197298\pi\) |
−0.876542 | + | 0.481325i | \(0.840156\pi\) | |||||||
\(524\) | −103.518 | + | 370.455i | −0.197554 | + | 0.706975i | ||||
\(525\) | −54.6823 | + | 223.038i | −0.104157 | + | 0.424834i | ||||
\(526\) | −844.771 | − | 221.525i | −1.60603 | − | 0.421150i | ||||
\(527\) | −82.5691 | + | 855.915i | −0.156678 | + | 1.62413i | ||||
\(528\) | 613.908 | + | 182.205i | 1.16270 | + | 0.345084i | ||||
\(529\) | −185.165 | − | 157.633i | −0.350028 | − | 0.297983i | ||||
\(530\) | 455.626 | − | 276.203i | 0.859671 | − | 0.521138i | ||||
\(531\) | −10.8982 | + | 4.01065i | −0.0205240 | + | 0.00755301i | ||||
\(532\) | 38.8183 | − | 301.067i | 0.0729668 | − | 0.565916i | ||||
\(533\) | 405.075 | − | 601.010i | 0.759990 | − | 1.12760i | ||||
\(534\) | 348.025 | + | 268.529i | 0.651733 | + | 0.502864i | ||||
\(535\) | −101.368 | − | 108.085i | −0.189473 | − | 0.202028i | ||||
\(536\) | 4.92824 | + | 1.63629i | 0.00919448 | + | 0.00305278i | ||||
\(537\) | 153.597 | + | 180.424i | 0.286028 | + | 0.335985i | ||||
\(538\) | 1160.80 | − | 513.850i | 2.15761 | − | 0.955112i | ||||
\(539\) | −272.984 | + | 590.902i | −0.506463 | + | 1.09629i | ||||
\(540\) | 650.954 | + | 591.179i | 1.20547 | + | 1.09478i | ||||
\(541\) | −231.871 | − | 829.783i | −0.428597 | − | 1.53379i | −0.796913 | − | 0.604094i | \(-0.793535\pi\) |
0.368316 | − | 0.929701i | \(-0.379934\pi\) | |||||||
\(542\) | 830.394 | − | 26.6291i | 1.53209 | − | 0.0491312i | ||||
\(543\) | −70.2131 | − | 394.093i | −0.129306 | − | 0.725770i | ||||
\(544\) | 635.690 | − | 358.014i | 1.16855 | − | 0.658114i | ||||
\(545\) | 125.852 | + | 48.6187i | 0.230920 | + | 0.0892087i | ||||
\(546\) | −255.497 | + | 184.381i | −0.467942 | + | 0.337693i | ||||
\(547\) | −31.5160 | + | 58.1193i | −0.0576161 | + | 0.106251i | −0.906273 | − | 0.422692i | \(-0.861085\pi\) |
0.848657 | + | 0.528943i | \(0.177412\pi\) | |||||||
\(548\) | 661.660 | − | 219.686i | 1.20741 | − | 0.400887i | ||||
\(549\) | −45.0910 | − | 27.3344i | −0.0821329 | − | 0.0497895i | ||||
\(550\) | 1419.80 | + | 276.505i | 2.58145 | + | 0.502737i | ||||
\(551\) | 1165.93 | − | 112.476i | 2.11602 | − | 0.204130i | ||||
\(552\) | −18.7842 | + | 116.187i | −0.0340294 | + | 0.210484i | ||||
\(553\) | 102.276 | + | 132.555i | 0.184948 | + | 0.239701i | ||||
\(554\) | −32.4988 | − | 506.195i | −0.0586621 | − | 0.913710i | ||||
\(555\) | −475.089 | − | 986.532i | −0.856016 | − | 1.77754i | ||||
\(556\) | 282.227 | − | 391.082i | 0.507602 | − | 0.703385i | ||||
\(557\) | −142.165 | − | 218.404i | −0.255234 | − | 0.392108i | 0.687217 | − | 0.726452i | \(-0.258832\pi\) |
−0.942451 | + | 0.334344i | \(0.891485\pi\) | |||||||
\(558\) | 27.9382 | − | 122.405i | 0.0500685 | − | 0.219365i | ||||
\(559\) | 49.7097 | − | 618.937i | 0.0889261 | − | 1.10722i | ||||
\(560\) | 178.720 | + | 147.272i | 0.319143 | + | 0.262986i | ||||
\(561\) | −681.600 | + | 263.314i | −1.21497 | + | 0.469366i | ||||
\(562\) | −50.5851 | + | 77.7123i | −0.0900091 | + | 0.138278i | ||||
\(563\) | 108.806 | + | 112.351i | 0.193261 | + | 0.199558i | 0.808017 | − | 0.589160i | \(-0.200541\pi\) |
−0.614755 | + | 0.788718i | \(0.710745\pi\) | |||||||
\(564\) | 169.686 | + | 192.970i | 0.300862 | + | 0.342145i | ||||
\(565\) | −447.195 | + | 1010.22i | −0.791495 | + | 1.78800i | ||||
\(566\) | 387.756 | + | 1306.48i | 0.685082 | + | 2.30827i | ||||
\(567\) | −36.2865 | − | 186.324i | −0.0639974 | − | 0.328613i | ||||
\(568\) | −131.864 | − | 48.5272i | −0.232155 | − | 0.0854351i | ||||
\(569\) | −307.135 | + | 588.720i | −0.539780 | + | 1.03466i | 0.450131 | + | 0.892963i | \(0.351377\pi\) |
−0.989910 | + | 0.141694i | \(0.954745\pi\) | |||||||
\(570\) | −1890.75 | − | 1105.14i | −3.31711 | − | 1.93884i | ||||
\(571\) | −207.739 | + | 23.4066i | −0.363817 | + | 0.0409923i | −0.291981 | − | 0.956424i | \(-0.594314\pi\) |
−0.0718360 | + | 0.997416i | \(0.522886\pi\) | |||||||
\(572\) | 652.683 | + | 818.439i | 1.14105 | + | 1.43084i | ||||
\(573\) | 105.096 | + | 209.573i | 0.183413 | + | 0.365747i | ||||
\(574\) | −160.174 | − | 237.650i | −0.279049 | − | 0.414025i | ||||
\(575\) | 60.2378 | − | 938.253i | 0.104761 | − | 1.63174i | ||||
\(576\) | −57.5820 | + | 23.3124i | −0.0999688 | + | 0.0404729i | ||||
\(577\) | 388.426 | + | 388.426i | 0.673182 | + | 0.673182i | 0.958448 | − | 0.285266i | \(-0.0920820\pi\) |
−0.285266 | + | 0.958448i | \(0.592082\pi\) | |||||||
\(578\) | 41.5388 | − | 98.0535i | 0.0718665 | − | 0.169643i | ||||
\(579\) | 190.730 | + | 902.053i | 0.329413 | + | 1.55795i | ||||
\(580\) | 573.585 | − | 1143.79i | 0.988940 | − | 1.97206i | ||||
\(581\) | 146.624 | − | 18.9050i | 0.252364 | − | 0.0325388i | ||||
\(582\) | 176.779 | + | 338.853i | 0.303744 | + | 0.582221i | ||||
\(583\) | −16.8626 | + | 350.409i | −0.0289239 | + | 0.601044i | ||||
\(584\) | 65.6106 | + | 63.5403i | 0.112347 | + | 0.108802i | ||||
\(585\) | 21.7123 | + | 95.1276i | 0.0371150 | + | 0.162611i | ||||
\(586\) | 34.1360 | − | 4.95879i | 0.0582525 | − | 0.00846210i | ||||
\(587\) | −26.2953 | + | 819.985i | −0.0447961 | + | 1.39691i | 0.692539 | + | 0.721381i | \(0.256492\pi\) |
−0.737335 | + | 0.675528i | \(0.763916\pi\) | |||||||
\(588\) | −147.421 | − | 601.300i | −0.250716 | − | 1.02262i | ||||
\(589\) | 27.1983 | − | 1696.72i | 0.0461771 | − | 2.88068i | ||||
\(590\) | 325.052i | 0.550935i | ||||||||
\(591\) | −425.059 | + | 446.707i | −0.719221 | + | 0.755850i | ||||
\(592\) | −635.006 | −1.07264 | ||||||||
\(593\) | −48.3175 | − | 0.774526i | −0.0814798 | − | 0.00130611i | −0.0247254 | − | 0.999694i | \(-0.507871\pi\) |
−0.0567545 | + | 0.998388i | \(0.518075\pi\) | |||||||
\(594\) | −1066.08 | + | 261.371i | −1.79475 | + | 0.440018i | ||||
\(595\) | −264.108 | − | 8.46942i | −0.443879 | − | 0.0142343i | ||||
\(596\) | 128.915 | + | 887.441i | 0.216300 | + | 1.48900i | ||||
\(597\) | −187.791 | + | 42.8621i | −0.314558 | + | 0.0717958i | ||||
\(598\) | 897.408 | − | 926.647i | 1.50068 | − | 1.54958i | ||||
\(599\) | 761.021 | + | 36.6224i | 1.27049 | + | 0.0611392i | 0.672337 | − | 0.740245i | \(-0.265291\pi\) |
0.598149 | + | 0.801385i | \(0.295903\pi\) | |||||||
\(600\) | −127.053 | + | 66.2836i | −0.211755 | + | 0.110473i | ||||
\(601\) | 63.3845 | + | 491.598i | 0.105465 | + | 0.817966i | 0.956270 | + | 0.292485i | \(0.0944821\pi\) |
−0.850805 | + | 0.525481i | \(0.823885\pi\) | |||||||
\(602\) | −219.476 | − | 110.062i | −0.364578 | − | 0.182827i | ||||
\(603\) | −2.99342 | + | 0.632928i | −0.00496421 | + | 0.00104963i | ||||
\(604\) | −465.180 | − | 197.066i | −0.770166 | − | 0.326269i | ||||
\(605\) | −514.778 | + | 514.778i | −0.850873 | + | 0.850873i | ||||
\(606\) | −169.813 | − | 419.442i | −0.280220 | − | 0.692148i | ||||
\(607\) | −106.954 | − | 6.86667i | −0.176201 | − | 0.0113125i | −0.0242803 | − | 0.999705i | \(-0.507729\pi\) |
−0.151920 | + | 0.988393i | \(0.548546\pi\) | |||||||
\(608\) | −1193.91 | + | 804.683i | −1.96367 | + | 1.32349i | ||||
\(609\) | −226.674 | + | 113.672i | −0.372207 | + | 0.186653i | ||||
\(610\) | −1153.93 | + | 920.230i | −1.89169 | + | 1.50857i | ||||
\(611\) | −32.8455 | − | 291.512i | −0.0537569 | − | 0.477106i | ||||
\(612\) | 28.5399 | − | 48.8282i | 0.0466338 | − | 0.0797847i | ||||
\(613\) | 481.218 | + | 251.051i | 0.785021 | + | 0.409545i | 0.807251 | − | 0.590208i | \(-0.200954\pi\) |
−0.0222304 | + | 0.999753i | \(0.507077\pi\) | |||||||
\(614\) | −85.2712 | + | 231.709i | −0.138878 | + | 0.377377i | ||||
\(615\) | −1070.49 | + | 208.478i | −1.74063 | + | 0.338988i | ||||
\(616\) | 41.3335 | − | 12.2676i | 0.0670998 | − | 0.0199149i | ||||
\(617\) | −20.5232 | − | 9.08500i | −0.0332628 | − | 0.0147245i | 0.388085 | − | 0.921624i | \(-0.373137\pi\) |
−0.421348 | + | 0.906899i | \(0.638443\pi\) | |||||||
\(618\) | −1325.82 | + | 1165.85i | −2.14534 | + | 1.88649i | ||||
\(619\) | −472.781 | + | 457.863i | −0.763782 | + | 0.739681i | −0.971121 | − | 0.238588i | \(-0.923315\pi\) |
0.207339 | + | 0.978269i | \(0.433520\pi\) | |||||||
\(620\) | −1553.58 | − | 1011.27i | −2.50577 | − | 1.63107i | ||||
\(621\) | 257.103 | + | 665.522i | 0.414015 | + | 1.07169i | ||||
\(622\) | 409.791 | − | 497.296i | 0.658827 | − | 0.799511i | ||||
\(623\) | −104.332 | − | 8.37940i | −0.167467 | − | 0.0134501i | ||||
\(624\) | 677.913 | + | 154.729i | 1.08640 | + | 0.247964i | ||||
\(625\) | −273.304 | + | 177.901i | −0.437286 | + | 0.284642i | ||||
\(626\) | −13.0325 | − | 9.40500i | −0.0208187 | − | 0.0150240i | ||||
\(627\) | 1299.18 | − | 625.652i | 2.07206 | − | 0.997850i | ||||
\(628\) | −355.019 | + | 22.7930i | −0.565318 | + | 0.0362946i | ||||
\(629\) | 573.656 | − | 442.622i | 0.912013 | − | 0.703691i | ||||
\(630\) | 38.0879 | + | 6.15776i | 0.0604570 | + | 0.00977423i | ||||
\(631\) | −110.315 | − | 1143.53i | −0.174826 | − | 1.81225i | −0.499381 | − | 0.866383i | \(-0.666439\pi\) |
0.324555 | − | 0.945867i | \(-0.394785\pi\) | |||||||
\(632\) | −19.9719 | + | 102.551i | −0.0316011 | + | 0.162265i | ||||
\(633\) | −131.822 | + | 217.455i | −0.208250 | + | 0.343530i | ||||
\(634\) | −205.619 | − | 619.291i | −0.324320 | − | 0.976799i | ||||
\(635\) | −959.392 | − | 520.244i | −1.51085 | − | 0.819282i | ||||
\(636\) | −195.262 | − | 270.575i | −0.307016 | − | 0.425432i | ||||
\(637\) | −254.699 | + | 659.299i | −0.399842 | + | 1.03501i | ||||
\(638\) | 783.791 | + | 1391.70i | 1.22851 | + | 2.18135i | ||||
\(639\) | 81.5051 | − | 14.5213i | 0.127551 | − | 0.0227250i | ||||
\(640\) | 10.5735 | + | 329.720i | 0.0165211 | + | 0.515188i | ||||
\(641\) | −643.538 | + | 179.827i | −1.00396 | + | 0.280542i | −0.731659 | − | 0.681670i | \(-0.761254\pi\) |
−0.272300 | + | 0.962212i | \(0.587784\pi\) | |||||||
\(642\) | −118.280 | + | 130.240i | −0.184237 | + | 0.202866i | ||||
\(643\) | −966.777 | − | 446.630i | −1.50354 | − | 0.694603i | −0.516680 | − | 0.856178i | \(-0.672832\pi\) |
−0.986860 | + | 0.161575i | \(0.948343\pi\) | |||||||
\(644\) | −108.907 | − | 246.023i | −0.169110 | − | 0.382023i | ||||
\(645\) | −711.450 | + | 605.666i | −1.10302 | + | 0.939017i | ||||
\(646\) | 456.655 | − | 1375.37i | 0.706896 | − | 2.12906i | ||||
\(647\) | −44.2628 | + | 41.5122i | −0.0684123 | + | 0.0641610i | −0.717533 | − | 0.696524i | \(-0.754729\pi\) |
0.649121 | + | 0.760685i | \(0.275137\pi\) | |||||||
\(648\) | 72.3621 | − | 93.7843i | 0.111670 | − | 0.144729i | ||||
\(649\) | −177.476 | − | 119.617i | −0.273460 | − | 0.184310i | ||||
\(650\) | 1557.74 | + | 200.849i | 2.39653 | + | 0.308998i | ||||
\(651\) | 126.875 | + | 344.760i | 0.194892 | + | 0.529585i | ||||
\(652\) | −102.117 | − | 168.452i | −0.156621 | − | 0.258362i | ||||
\(653\) | 805.740 | − | 946.468i | 1.23390 | − | 1.44941i | 0.383287 | − | 0.923629i | \(-0.374792\pi\) |
0.850617 | − | 0.525785i | \(-0.176229\pi\) | |||||||
\(654\) | 45.5767 | − | 153.563i | 0.0696891 | − | 0.234806i | ||||
\(655\) | −657.711 | − | 63.4486i | −1.00414 | − | 0.0968680i | ||||
\(656\) | −160.430 | + | 611.787i | −0.244557 | + | 0.932603i | ||||
\(657\) | −52.2670 | − | 12.8143i | −0.0795540 | − | 0.0195043i | ||||
\(658\) | −111.719 | − | 31.2181i | −0.169785 | − | 0.0474439i | ||||
\(659\) | −199.301 | + | 125.229i | −0.302429 | + | 0.190029i | −0.674694 | − | 0.738098i | \(-0.735724\pi\) |
0.372265 | + | 0.928127i | \(0.378581\pi\) | |||||||
\(660\) | 176.367 | − | 1565.30i | 0.267222 | − | 2.37166i | ||||
\(661\) | −869.408 | − | 648.856i | −1.31529 | − | 0.981628i | −0.999462 | − | 0.0328130i | \(-0.989553\pi\) |
−0.315831 | − | 0.948815i | \(-0.602283\pi\) | |||||||
\(662\) | −1641.04 | − | 515.812i | −2.47892 | − | 0.779173i | ||||
\(663\) | −720.271 | + | 332.749i | −1.08638 | + | 0.501885i | ||||
\(664\) | 69.2795 | + | 60.9203i | 0.104337 | + | 0.0917475i | ||||
\(665\) | 520.867 | − | 25.0655i | 0.783258 | − | 0.0376925i | ||||
\(666\) | −91.3370 | + | 53.3861i | −0.137143 | + | 0.0801593i | ||||
\(667\) | 832.012 | − | 620.946i | 1.24739 | − | 0.930954i | ||||
\(668\) | 647.635 | − | 226.617i | 0.969513 | − | 0.339247i | ||||
\(669\) | −346.951 | − | 61.8141i | −0.518611 | − | 0.0923978i | ||||
\(670\) | −12.3115 | + | 84.7512i | −0.0183753 | + | 0.126494i | ||||
\(671\) | −77.7990 | − | 968.677i | −0.115945 | − | 1.44363i | ||||
\(672\) | 178.323 | − | 255.640i | 0.265362 | − | 0.380416i | ||||
\(673\) | −96.3874 | + | 455.862i | −0.143220 | + | 0.677357i | 0.846269 | + | 0.532755i | \(0.178843\pi\) |
−0.989490 | + | 0.144602i | \(0.953810\pi\) | |||||||
\(674\) | 257.122 | + | 205.048i | 0.381487 | + | 0.304226i | ||||
\(675\) | −462.172 | + | 735.542i | −0.684699 | + | 1.08969i | ||||
\(676\) | 256.876 | + | 282.849i | 0.379994 | + | 0.418416i | ||||
\(677\) | −45.7126 | − | 145.433i | −0.0675223 | − | 0.214820i | 0.914157 | − | 0.405360i | \(-0.132854\pi\) |
−0.981680 | + | 0.190540i | \(0.938976\pi\) | |||||||
\(678\) | 1238.07 | + | 433.220i | 1.82607 | + | 0.638968i | ||||
\(679\) | −79.2935 | − | 44.6573i | −0.116780 | − | 0.0657692i | ||||
\(680\) | −104.864 | − | 127.256i | −0.154211 | − | 0.187141i | ||||
\(681\) | −465.560 | − | 667.416i | −0.683642 | − | 0.980052i | ||||
\(682\) | 2130.64 | − | 902.611i | 3.12410 | − | 1.32348i | ||||
\(683\) | −375.427 | + | 927.313i | −0.549674 | + | 1.35771i | 0.356300 | + | 0.934372i | \(0.384038\pi\) |
−0.905974 | + | 0.423333i | \(0.860860\pi\) | |||||||
\(684\) | −48.4268 | + | 100.559i | −0.0707994 | + | 0.147017i | ||||
\(685\) | 570.904 | + | 1052.82i | 0.833437 | + | 1.53696i | ||||
\(686\) | 429.342 | + | 402.661i | 0.625863 | + | 0.586970i | ||||
\(687\) | −212.483 | + | 34.3526i | −0.309291 | + | 0.0500037i | ||||
\(688\) | 137.443 | + | 524.131i | 0.199772 | + | 0.761818i | ||||
\(689\) | 6.10547 | + | 380.880i | 0.00886136 | + | 0.552801i | ||||
\(690\) | −1940.82 | + | 31.1112i | −2.81278 | + | 0.0450887i | ||||
\(691\) | 108.378 | − | 28.4201i | 0.156843 | − | 0.0411290i | −0.174398 | − | 0.984675i | \(-0.555798\pi\) |
0.331241 | + | 0.943546i | \(0.392533\pi\) | |||||||
\(692\) | 115.132 | + | 712.132i | 0.166376 | + | 1.02909i | ||||
\(693\) | −17.3782 | + | 18.5297i | −0.0250768 | + | 0.0267384i | ||||
\(694\) | −1279.06 | + | 693.590i | −1.84303 | + | 0.999409i | ||||
\(695\) | 746.443 | + | 359.468i | 1.07402 | + | 0.517220i | ||||
\(696\) | −146.676 | − | 59.3824i | −0.210741 | − | 0.0853196i | ||||
\(697\) | −281.508 | − | 664.507i | −0.403885 | − | 0.953381i | ||||
\(698\) | 1387.21 | − | 967.658i | 1.98741 | − | 1.38633i | ||||
\(699\) | 198.419 | − | 163.505i | 0.283861 | − | 0.233912i | ||||
\(700\) | 160.754 | − | 285.435i | 0.229649 | − | 0.407765i | ||||
\(701\) | −39.7359 | + | 113.559i | −0.0566846 | + | 0.161995i | −0.968744 | − | 0.248063i | \(-0.920206\pi\) |
0.912059 | + | 0.410058i | \(0.134492\pi\) | |||||||
\(702\) | −1137.03 | + | 357.392i | −1.61970 | + | 0.509105i | ||||
\(703\) | −1058.52 | + | 961.315i | −1.50571 | + | 1.36745i | ||||
\(704\) | −969.421 | − | 609.127i | −1.37702 | − | 0.865238i | ||||
\(705\) | −275.224 | + | 345.121i | −0.390389 | + | 0.489533i | ||||
\(706\) | 180.845 | + | 38.2378i | 0.256154 | + | 0.0541613i | ||||
\(707\) | 88.3716 | + | 61.6442i | 0.124995 | + | 0.0871913i | ||||
\(708\) | 202.913 | − | 16.2969i | 0.286600 | − | 0.0230182i | ||||
\(709\) | −299.371 | − | 43.4885i | −0.422245 | − | 0.0613377i | −0.0706748 | − | 0.997499i | \(-0.522515\pi\) |
−0.351570 | + | 0.936162i | \(0.614352\pi\) | |||||||
\(710\) | 406.463 | − | 2281.40i | 0.572483 | − | 3.21324i | ||||
\(711\) | −20.3315 | − | 58.1042i | −0.0285957 | − | 0.0817218i | ||||
\(712\) | −39.0661 | − | 52.3450i | −0.0548681 | − | 0.0735182i | ||||
\(713\) | −758.963 | − | 1298.49i | −1.06446 | − | 1.82117i | ||||
\(714\) | 15.0802 | + | 313.369i | 0.0211207 | + | 0.438892i | ||||
\(715\) | −1187.50 | + | 1350.44i | −1.66083 | + | 1.88872i | ||||
\(716\) | −141.758 | − | 306.850i | −0.197986 | − | 0.428561i | ||||
\(717\) | 276.511 | − | 879.711i | 0.385650 | − | 1.22693i | ||||
\(718\) | −727.928 | + | 975.357i | −1.01383 | + | 1.35844i | ||||
\(719\) | 1197.36 | + | 134.910i | 1.66531 | + | 0.187636i | 0.893765 | − | 0.448536i | \(-0.148054\pi\) |
0.771547 | + | 0.636172i | \(0.219483\pi\) | |||||||
\(720\) | −45.3013 | − | 72.0966i | −0.0629184 | − | 0.100134i | ||||
\(721\) | 113.136 | − | 404.873i | 0.156915 | − | 0.561544i | ||||
\(722\) | −430.896 | + | 1757.54i | −0.596809 | + | 2.43426i | ||||
\(723\) | −1076.95 | − | 282.411i | −1.48956 | − | 0.390610i | ||||
\(724\) | −54.8323 | + | 568.395i | −0.0757353 | + | 0.785075i | ||||
\(725\) | 1211.82 | + | 359.662i | 1.67148 | + | 0.496085i | ||||
\(726\) | 658.155 | + | 560.296i | 0.906550 | + | 0.771757i | ||||
\(727\) | 285.651 | − | 173.163i | 0.392917 | − | 0.238189i | −0.308068 | − | 0.951364i | \(-0.599683\pi\) |
0.700985 | + | 0.713176i | \(0.252744\pi\) | |||||||
\(728\) | 43.9360 | − | 16.1688i | 0.0603516 | − | 0.0222100i | ||||
\(729\) | 83.5658 | − | 648.120i | 0.114631 | − | 0.889053i | ||||
\(730\) | −841.882 | + | 1249.10i | −1.15326 | + | 1.71110i | ||||
\(731\) | −489.503 | − | 377.691i | −0.669635 | − | 0.516677i | ||||
\(732\) | 632.304 | + | 674.201i | 0.863804 | + | 0.921040i | ||||
\(733\) | −820.949 | − | 272.574i | −1.11999 | − | 0.371861i | −0.305585 | − | 0.952165i | \(-0.598852\pi\) |
−0.814400 | + | 0.580304i | \(0.802934\pi\) | |||||||
\(734\) | −370.475 | − | 435.181i | −0.504735 | − | 0.592890i | ||||
\(735\) | 972.508 | − | 430.500i | 1.32314 | − | 0.585715i | ||||
\(736\) | −535.177 | + | 1158.45i | −0.727143 | + | 1.57398i | ||||
\(737\) | −41.7430 | − | 37.9099i | −0.0566390 | − | 0.0514381i | ||||
\(738\) | 28.3585 | + | 101.485i | 0.0384261 | + | 0.137513i | ||||
\(739\) | 276.558 | − | 8.86867i | 0.374232 | − | 0.0120009i | 0.155631 | − | 0.987815i | \(-0.450259\pi\) |
0.218601 | + | 0.975814i | \(0.429851\pi\) | |||||||
\(740\) | 273.976 | + | 1537.78i | 0.370238 | + | 2.07808i | ||||
\(741\) | 1364.28 | − | 768.348i | 1.84113 | − | 1.03691i | ||||
\(742\) | 140.506 | + | 54.2800i | 0.189361 | + | 0.0731536i | ||||
\(743\) | −36.2031 | + | 26.1262i | −0.0487256 | + | 0.0351631i | −0.609287 | − | 0.792949i | \(-0.708544\pi\) |
0.560562 | + | 0.828113i | \(0.310585\pi\) | |||||||
\(744\) | −109.279 | + | 201.523i | −0.146880 | + | 0.270865i | ||||
\(745\) | −1462.01 | + | 485.421i | −1.96243 | + | 0.651572i | ||||
\(746\) | −526.687 | − | 319.281i | −0.706015 | − | 0.427991i | ||||
\(747\) | −53.3543 | − | 10.3907i | −0.0714247 | − | 0.0139100i | ||||
\(748\) | 1037.53 | − | 100.089i | 1.38707 | − | 0.133809i | ||||
\(749\) | 6.68589 | − | 41.3546i | 0.00892642 | − | 0.0552130i | ||||
\(750\) | −376.967 | − | 488.565i | −0.502622 | − | 0.651419i | ||||
\(751\) | 63.1823 | + | 984.116i | 0.0841310 | + | 1.31041i | 0.794796 | + | 0.606877i | \(0.207578\pi\) |
−0.710665 | + | 0.703531i | \(0.751606\pi\) | |||||||
\(752\) | 111.073 | + | 230.645i | 0.147703 | + | 0.306708i | ||||
\(753\) | −284.327 | + | 393.993i | −0.377593 | + | 0.523231i | ||||
\(754\) | 946.146 | + | 1453.53i | 1.25484 | + | 1.92776i | ||||
\(755\) | 193.117 | − | 846.099i | 0.255784 | − | 1.12066i | ||||
\(756\) | −19.9015 | + | 247.793i | −0.0263247 | + | 0.327769i | ||||
\(757\) | 576.120 | + | 474.745i | 0.761057 | + | 0.627139i | 0.933787 | − | 0.357830i | \(-0.116483\pi\) |
−0.172730 | + | 0.984969i | \(0.555259\pi\) | |||||||
\(758\) | 1309.92 | − | 506.048i | 1.72813 | − | 0.667609i | ||||
\(759\) | 697.223 | − | 1071.12i | 0.918607 | − | 1.41123i | ||||
\(760\) | 226.383 | + | 233.759i | 0.297873 | + | 0.307578i | ||||
\(761\) | −470.998 | − | 535.625i | −0.618920 | − | 0.703844i | 0.353932 | − | 0.935271i | \(-0.384844\pi\) |
−0.972852 | + | 0.231427i | \(0.925661\pi\) | |||||||
\(762\) | −524.503 | + | 1184.86i | −0.688325 | + | 1.55494i | ||||
\(763\) | 10.8522 | + | 36.5648i | 0.0142231 | + | 0.0479224i | ||||
\(764\) | −63.9319 | − | 328.277i | −0.0836805 | − | 0.429682i | ||||
\(765\) | 91.1785 | + | 33.5545i | 0.119188 | + | 0.0438622i | ||||
\(766\) | 226.594 | − | 434.339i | 0.295815 | − | 0.567022i |