Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,4,Mod(5,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.j (of order \(22\), degree \(10\), 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: | \(11.8593839112\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.19 | ||
Character | \(\chi\) | \(=\) | 201.5 |
Dual form | 201.4.j.b.161.19 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.97915 | + | 2.28406i | −0.699736 | + | 0.807539i | −0.988717 | − | 0.149796i | \(-0.952138\pi\) |
0.288981 | + | 0.957335i | \(0.406684\pi\) | |||||||
\(3\) | 1.50596 | + | 4.97314i | 0.289822 | + | 0.957081i | ||||
\(4\) | −0.161385 | − | 1.12245i | −0.0201731 | − | 0.140307i | ||||
\(5\) | 9.47455 | − | 2.78198i | 0.847430 | − | 0.248828i | 0.170941 | − | 0.985281i | \(-0.445319\pi\) |
0.676488 | + | 0.736453i | \(0.263501\pi\) | |||||||
\(6\) | −14.3395 | − | 6.40290i | −0.975678 | − | 0.435662i | ||||
\(7\) | 23.8049 | + | 20.6270i | 1.28534 | + | 1.11376i | 0.987243 | + | 0.159221i | \(0.0508983\pi\) |
0.298100 | + | 0.954535i | \(0.403647\pi\) | |||||||
\(8\) | −17.4567 | − | 11.2187i | −0.771483 | − | 0.495802i | ||||
\(9\) | −22.4642 | + | 14.9787i | −0.832007 | + | 0.554765i | ||||
\(10\) | −12.3974 | + | 27.1465i | −0.392039 | + | 0.858446i | ||||
\(11\) | 9.36765 | − | 2.75059i | 0.256768 | − | 0.0753940i | −0.150815 | − | 0.988562i | \(-0.548190\pi\) |
0.407583 | + | 0.913168i | \(0.366372\pi\) | |||||||
\(12\) | 5.33908 | − | 2.49296i | 0.128438 | − | 0.0599712i | ||||
\(13\) | 16.2985 | + | 25.3609i | 0.347722 | + | 0.541066i | 0.970428 | − | 0.241390i | \(-0.0776033\pi\) |
−0.622706 | + | 0.782456i | \(0.713967\pi\) | |||||||
\(14\) | −94.2270 | + | 13.5478i | −1.79880 | + | 0.258629i | ||||
\(15\) | 28.1034 | + | 42.9287i | 0.483752 | + | 0.738943i | ||||
\(16\) | 68.8782 | − | 20.2245i | 1.07622 | − | 0.316007i | ||||
\(17\) | 107.526 | + | 15.4599i | 1.53405 | + | 0.220564i | 0.856979 | − | 0.515351i | \(-0.172339\pi\) |
0.677074 | + | 0.735915i | \(0.263248\pi\) | |||||||
\(18\) | 10.2478 | − | 80.9547i | 0.134191 | − | 1.06007i | ||||
\(19\) | 47.9347 | + | 55.3196i | 0.578789 | + | 0.667958i | 0.967344 | − | 0.253468i | \(-0.0815712\pi\) |
−0.388555 | + | 0.921425i | \(0.627026\pi\) | |||||||
\(20\) | −4.65169 | − | 10.1858i | −0.0520075 | − | 0.113881i | ||||
\(21\) | −66.7320 | + | 149.448i | −0.693434 | + | 1.55297i | ||||
\(22\) | −12.2575 | + | 26.8402i | −0.118787 | + | 0.260106i | ||||
\(23\) | −169.288 | + | 77.3113i | −1.53474 | + | 0.700892i | −0.990433 | − | 0.137994i | \(-0.955935\pi\) |
−0.544307 | + | 0.838886i | \(0.683207\pi\) | |||||||
\(24\) | 29.5032 | − | 103.709i | 0.250930 | − | 0.882066i | ||||
\(25\) | −23.1289 | + | 14.8641i | −0.185032 | + | 0.118913i | ||||
\(26\) | −90.1831 | − | 12.9664i | −0.680245 | − | 0.0978044i | ||||
\(27\) | −108.321 | − | 89.1602i | −0.772089 | − | 0.635515i | ||||
\(28\) | 19.3112 | − | 30.0488i | 0.130338 | − | 0.202810i | ||||
\(29\) | − | 201.497i | − | 1.29024i | −0.764081 | − | 0.645120i | \(-0.776807\pi\) | ||
0.764081 | − | 0.645120i | \(-0.223193\pi\) | |||||||
\(30\) | −153.673 | − | 20.7724i | −0.935224 | − | 0.126417i | ||||
\(31\) | 110.528 | − | 171.984i | 0.640366 | − | 0.996429i | −0.357674 | − | 0.933847i | \(-0.616430\pi\) |
0.998040 | − | 0.0625822i | \(-0.0199335\pi\) | |||||||
\(32\) | −21.1650 | + | 46.3450i | −0.116921 | + | 0.256022i | ||||
\(33\) | 27.7863 | + | 42.4443i | 0.146575 | + | 0.223897i | ||||
\(34\) | −248.122 | + | 214.999i | −1.25155 | + | 1.08447i | ||||
\(35\) | 282.925 | + | 129.207i | 1.36637 | + | 0.624001i | ||||
\(36\) | 20.4383 | + | 22.7977i | 0.0946215 | + | 0.105545i | ||||
\(37\) | −126.122 | −0.560388 | −0.280194 | − | 0.959943i | \(-0.590399\pi\) | ||||
−0.280194 | + | 0.959943i | \(0.590399\pi\) | |||||||
\(38\) | −221.224 | −0.944401 | ||||||||
\(39\) | −101.578 | + | 119.247i | −0.417066 | + | 0.489610i | ||||
\(40\) | −196.604 | − | 57.7282i | −0.777147 | − | 0.228191i | ||||
\(41\) | 68.6344 | − | 477.363i | 0.261436 | − | 1.81833i | −0.260646 | − | 0.965434i | \(-0.583936\pi\) |
0.522082 | − | 0.852895i | \(-0.325155\pi\) | |||||||
\(42\) | −209.277 | − | 448.201i | −0.768860 | − | 1.64664i | ||||
\(43\) | −194.874 | − | 28.0187i | −0.691117 | − | 0.0993676i | −0.212198 | − | 0.977227i | \(-0.568062\pi\) |
−0.478919 | + | 0.877859i | \(0.658971\pi\) | |||||||
\(44\) | −4.59921 | − | 10.0709i | −0.0157581 | − | 0.0345054i | ||||
\(45\) | −171.168 | + | 204.411i | −0.567026 | + | 0.677151i | ||||
\(46\) | 158.463 | − | 539.676i | 0.507916 | − | 1.72980i | ||||
\(47\) | −379.706 | + | 173.406i | −1.17842 | + | 0.538167i | −0.905697 | − | 0.423926i | \(-0.860652\pi\) |
−0.272723 | + | 0.962092i | \(0.587924\pi\) | |||||||
\(48\) | 204.307 | + | 312.084i | 0.614357 | + | 0.938445i | ||||
\(49\) | 92.3833 | + | 642.540i | 0.269339 | + | 1.87329i | ||||
\(50\) | 11.8252 | − | 82.2463i | 0.0334468 | − | 0.232628i | ||||
\(51\) | 85.0454 | + | 558.024i | 0.233505 | + | 1.53214i | ||||
\(52\) | 25.8362 | − | 22.3872i | 0.0689006 | − | 0.0597027i | ||||
\(53\) | −20.2031 | − | 140.516i | −0.0523606 | − | 0.364176i | −0.999109 | − | 0.0422019i | \(-0.986563\pi\) |
0.946749 | − | 0.321974i | \(-0.104346\pi\) | |||||||
\(54\) | 418.032 | − | 70.9505i | 1.05346 | − | 0.178799i | ||||
\(55\) | 81.1022 | − | 52.1212i | 0.198833 | − | 0.127782i | ||||
\(56\) | −184.145 | − | 627.140i | −0.439418 | − | 1.49652i | ||||
\(57\) | −202.924 | + | 321.695i | −0.471544 | + | 0.747536i | ||||
\(58\) | 460.231 | + | 398.792i | 1.04192 | + | 0.902828i | ||||
\(59\) | 30.0369 | − | 46.7383i | 0.0662791 | − | 0.103132i | −0.806532 | − | 0.591190i | \(-0.798658\pi\) |
0.872811 | + | 0.488058i | \(0.162295\pi\) | |||||||
\(60\) | 43.6501 | − | 38.4729i | 0.0939200 | − | 0.0827805i | ||||
\(61\) | 195.873 | − | 667.082i | 0.411130 | − | 1.40018i | −0.450560 | − | 0.892746i | \(-0.648776\pi\) |
0.861690 | − | 0.507435i | \(-0.169406\pi\) | |||||||
\(62\) | 174.072 | + | 592.835i | 0.356568 | + | 1.21436i | ||||
\(63\) | −843.723 | − | 106.804i | −1.68729 | − | 0.213589i | ||||
\(64\) | 174.602 | + | 382.325i | 0.341019 | + | 0.746728i | ||||
\(65\) | 224.974 | + | 194.941i | 0.429302 | + | 0.371992i | ||||
\(66\) | −151.939 | − | 20.5380i | −0.283370 | − | 0.0383039i | ||||
\(67\) | 212.928 | + | 505.395i | 0.388259 | + | 0.921550i | ||||
\(68\) | − | 123.188i | − | 0.219688i | ||||||
\(69\) | −639.420 | − | 725.466i | −1.11561 | − | 1.26574i | ||||
\(70\) | −855.069 | + | 390.497i | −1.46000 | + | 0.666762i | ||||
\(71\) | 506.074 | − | 72.7625i | 0.845915 | − | 0.121624i | 0.294290 | − | 0.955716i | \(-0.404917\pi\) |
0.551625 | + | 0.834092i | \(0.314008\pi\) | |||||||
\(72\) | 560.191 | − | 9.45821i | 0.916933 | − | 0.0154814i | ||||
\(73\) | −64.7624 | − | 19.0159i | −0.103834 | − | 0.0304883i | 0.229403 | − | 0.973332i | \(-0.426323\pi\) |
−0.333237 | + | 0.942843i | \(0.608141\pi\) | |||||||
\(74\) | 249.615 | − | 288.071i | 0.392124 | − | 0.452535i | ||||
\(75\) | −108.752 | − | 92.6388i | −0.167435 | − | 0.142627i | ||||
\(76\) | 54.3579 | − | 62.7323i | 0.0820431 | − | 0.0946828i | ||||
\(77\) | 279.732 | + | 127.749i | 0.414006 | + | 0.189070i | ||||
\(78\) | −71.3284 | − | 468.020i | −0.103543 | − | 0.679395i | ||||
\(79\) | 402.077 | + | 625.644i | 0.572623 | + | 0.891019i | 0.999914 | − | 0.0130953i | \(-0.00416850\pi\) |
−0.427291 | + | 0.904114i | \(0.640532\pi\) | |||||||
\(80\) | 596.326 | − | 383.235i | 0.833391 | − | 0.535588i | ||||
\(81\) | 280.279 | − | 672.967i | 0.384471 | − | 0.923137i | ||||
\(82\) | 954.489 | + | 1101.54i | 1.28543 | + | 1.48347i | ||||
\(83\) | 160.400 | + | 546.274i | 0.212123 | + | 0.722426i | 0.994967 | + | 0.100207i | \(0.0319505\pi\) |
−0.782843 | + | 0.622219i | \(0.786231\pi\) | |||||||
\(84\) | 178.519 | + | 50.7850i | 0.231881 | + | 0.0659654i | ||||
\(85\) | 1061.77 | − | 152.660i | 1.35488 | − | 0.194803i | ||||
\(86\) | 449.682 | − | 389.652i | 0.563843 | − | 0.488572i | ||||
\(87\) | 1002.07 | − | 303.445i | 1.23486 | − | 0.373940i | ||||
\(88\) | −194.386 | − | 57.0769i | −0.235473 | − | 0.0691411i | ||||
\(89\) | −652.012 | − | 297.764i | −0.776552 | − | 0.354639i | −0.0126066 | − | 0.999921i | \(-0.504013\pi\) |
−0.763945 | + | 0.645281i | \(0.776740\pi\) | |||||||
\(90\) | −128.121 | − | 795.519i | −0.150057 | − | 0.931723i | ||||
\(91\) | −135.138 | + | 939.903i | −0.155673 | + | 1.08273i | ||||
\(92\) | 114.099 | + | 177.541i | 0.129300 | + | 0.201195i | ||||
\(93\) | 1021.75 | + | 290.668i | 1.13925 | + | 0.324095i | ||||
\(94\) | 355.426 | − | 1210.47i | 0.389993 | − | 1.32819i | ||||
\(95\) | 608.058 | + | 390.775i | 0.656689 | + | 0.422029i | ||||
\(96\) | −262.353 | − | 35.4631i | −0.278920 | − | 0.0377024i | ||||
\(97\) | − | 863.513i | − | 0.903881i | −0.892048 | − | 0.451941i | \(-0.850732\pi\) | ||
0.892048 | − | 0.451941i | \(-0.149268\pi\) | |||||||
\(98\) | −1650.44 | − | 1060.68i | −1.70122 | − | 1.09331i | ||||
\(99\) | −169.236 | + | 202.105i | −0.171807 | + | 0.205175i | ||||
\(100\) | 20.4169 | + | 23.5624i | 0.0204169 | + | 0.0235624i | ||||
\(101\) | 877.911 | + | 1013.16i | 0.864905 | + | 0.998154i | 0.999973 | + | 0.00731747i | \(0.00232924\pi\) |
−0.135068 | + | 0.990836i | \(0.543125\pi\) | |||||||
\(102\) | −1442.88 | − | 910.165i | −1.40065 | − | 0.883527i | ||||
\(103\) | −450.478 | − | 289.504i | −0.430941 | − | 0.276949i | 0.307136 | − | 0.951666i | \(-0.400629\pi\) |
−0.738077 | + | 0.674717i | \(0.764266\pi\) | |||||||
\(104\) | − | 625.565i | − | 0.589824i | ||||||
\(105\) | −216.493 | + | 1601.60i | −0.201215 | + | 1.48858i | ||||
\(106\) | 360.932 | + | 231.957i | 0.330725 | + | 0.212544i | ||||
\(107\) | −8.42518 | + | 28.6935i | −0.00761208 | + | 0.0259244i | −0.963211 | − | 0.268745i | \(-0.913391\pi\) |
0.955599 | + | 0.294669i | \(0.0952094\pi\) | |||||||
\(108\) | −82.5970 | + | 135.975i | −0.0735917 | + | 0.121150i | ||||
\(109\) | −382.533 | − | 595.234i | −0.336147 | − | 0.523055i | 0.631495 | − | 0.775380i | \(-0.282441\pi\) |
−0.967643 | + | 0.252324i | \(0.918805\pi\) | |||||||
\(110\) | −41.4655 | + | 288.399i | −0.0359416 | + | 0.249979i | ||||
\(111\) | −189.935 | − | 627.223i | −0.162413 | − | 0.536337i | ||||
\(112\) | 2056.81 | + | 939.313i | 1.73527 | + | 0.792471i | ||||
\(113\) | 9.21659 | + | 2.70624i | 0.00767278 | + | 0.00225293i | 0.285567 | − | 0.958359i | \(-0.407818\pi\) |
−0.277894 | + | 0.960612i | \(0.589636\pi\) | |||||||
\(114\) | −333.154 | − | 1100.18i | −0.273708 | − | 0.903868i | ||||
\(115\) | −1388.85 | + | 1203.45i | −1.12618 | + | 0.975843i | ||||
\(116\) | −226.171 | + | 32.5184i | −0.181030 | + | 0.0260281i | ||||
\(117\) | −746.004 | − | 325.583i | −0.589471 | − | 0.257266i | ||||
\(118\) | 47.3057 | + | 161.108i | 0.0369054 | + | 0.125688i | ||||
\(119\) | 2240.75 | + | 2585.97i | 1.72613 | + | 1.99206i | ||||
\(120\) | −8.98731 | − | 1064.68i | −0.00683688 | − | 0.809927i | ||||
\(121\) | −1039.52 | + | 668.060i | −0.781008 | + | 0.501923i | ||||
\(122\) | 1135.99 | + | 1767.64i | 0.843018 | + | 1.31176i | ||||
\(123\) | 2477.35 | − | 377.560i | 1.81606 | − | 0.276776i | ||||
\(124\) | −210.882 | − | 96.3066i | −0.152724 | − | 0.0697467i | ||||
\(125\) | −986.091 | + | 1138.01i | −0.705589 | + | 0.814293i | ||||
\(126\) | 1913.80 | − | 1715.74i | 1.35314 | − | 1.21309i | ||||
\(127\) | 1635.03 | − | 1886.92i | 1.14240 | − | 1.31840i | 0.201593 | − | 0.979469i | \(-0.435388\pi\) |
0.940810 | − | 0.338934i | \(-0.110066\pi\) | |||||||
\(128\) | −1609.90 | − | 472.710i | −1.11169 | − | 0.326422i | ||||
\(129\) | −154.131 | − | 1011.33i | −0.105198 | − | 0.690253i | ||||
\(130\) | −890.517 | + | 128.037i | −0.600796 | + | 0.0863815i | ||||
\(131\) | 1485.88 | − | 678.576i | 0.991004 | − | 0.452576i | 0.147130 | − | 0.989117i | \(-0.452997\pi\) |
0.843874 | + | 0.536541i | \(0.180269\pi\) | |||||||
\(132\) | 43.1576 | − | 38.0388i | 0.0284575 | − | 0.0250822i | ||||
\(133\) | 2305.63i | 1.50318i | ||||||||
\(134\) | −1575.77 | − | 513.912i | −1.01587 | − | 0.331308i | ||||
\(135\) | −1274.34 | − | 543.406i | −0.812425 | − | 0.346437i | ||||
\(136\) | −1703.61 | − | 1476.18i | −1.07414 | − | 0.930747i | ||||
\(137\) | 804.076 | + | 1760.68i | 0.501437 | + | 1.09799i | 0.976000 | + | 0.217772i | \(0.0698789\pi\) |
−0.474563 | + | 0.880222i | \(0.657394\pi\) | |||||||
\(138\) | 2922.52 | − | 24.6700i | 1.80276 | − | 0.0152178i | ||||
\(139\) | −563.900 | − | 1920.47i | −0.344096 | − | 1.17188i | −0.931850 | − | 0.362844i | \(-0.881806\pi\) |
0.587754 | − | 0.809040i | \(-0.300012\pi\) | |||||||
\(140\) | 99.3697 | − | 338.422i | 0.0599877 | − | 0.204299i | ||||
\(141\) | −1434.19 | − | 1627.19i | −0.856601 | − | 0.971871i | ||||
\(142\) | −835.404 | + | 1299.91i | −0.493701 | + | 0.768214i | ||||
\(143\) | 222.436 | + | 192.742i | 0.130077 | + | 0.112712i | ||||
\(144\) | −1244.36 | + | 1486.03i | −0.720114 | + | 0.859971i | ||||
\(145\) | −560.559 | − | 1909.09i | −0.321048 | − | 1.09339i | ||||
\(146\) | 171.608 | − | 110.286i | 0.0972767 | − | 0.0625160i | ||||
\(147\) | −3056.31 | + | 1427.07i | −1.71483 | + | 0.800700i | ||||
\(148\) | 20.3542 | + | 141.567i | 0.0113048 | + | 0.0786263i | ||||
\(149\) | 379.786 | − | 329.087i | 0.208814 | − | 0.180938i | −0.544174 | − | 0.838972i | \(-0.683157\pi\) |
0.752988 | + | 0.658034i | \(0.228612\pi\) | |||||||
\(150\) | 426.830 | − | 65.0509i | 0.232337 | − | 0.0354092i | ||||
\(151\) | −475.985 | + | 3310.55i | −0.256524 | + | 1.78416i | 0.300617 | + | 0.953745i | \(0.402807\pi\) |
−0.557141 | + | 0.830418i | \(0.688102\pi\) | |||||||
\(152\) | −216.165 | − | 1503.46i | −0.115351 | − | 0.802282i | ||||
\(153\) | −2647.05 | + | 1263.30i | −1.39870 | + | 0.667529i | ||||
\(154\) | −845.421 | + | 386.091i | −0.442376 | + | 0.202027i | ||||
\(155\) | 568.743 | − | 1936.96i | 0.294726 | − | 1.00374i | ||||
\(156\) | 150.243 | + | 94.7727i | 0.0771092 | + | 0.0486403i | ||||
\(157\) | −60.0915 | − | 131.582i | −0.0305466 | − | 0.0668878i | 0.893744 | − | 0.448578i | \(-0.148069\pi\) |
−0.924290 | + | 0.381690i | \(0.875342\pi\) | |||||||
\(158\) | −2224.78 | − | 319.876i | −1.12022 | − | 0.161063i | ||||
\(159\) | 668.379 | − | 312.084i | 0.333370 | − | 0.155659i | ||||
\(160\) | −71.5985 | + | 497.978i | −0.0353772 | + | 0.246054i | ||||
\(161\) | −5624.59 | − | 1651.53i | −2.75329 | − | 0.808439i | ||||
\(162\) | 982.385 | + | 1972.08i | 0.476441 | + | 0.956428i | ||||
\(163\) | 2646.60 | 1.27176 | 0.635882 | − | 0.771786i | \(-0.280637\pi\) | ||||
0.635882 | + | 0.771786i | \(0.280637\pi\) | |||||||
\(164\) | −546.895 | −0.260398 | ||||||||
\(165\) | 381.342 | + | 324.840i | 0.179924 | + | 0.153265i | ||||
\(166\) | −1565.18 | − | 714.795i | −0.731817 | − | 0.334210i | ||||
\(167\) | −2202.59 | + | 1908.55i | −1.02061 | + | 0.884362i | −0.993335 | − | 0.115266i | \(-0.963228\pi\) |
−0.0272731 | + | 0.999628i | \(0.508682\pi\) | |||||||
\(168\) | 2841.54 | − | 1860.22i | 1.30494 | − | 0.854282i | ||||
\(169\) | 535.131 | − | 1171.77i | 0.243573 | − | 0.533352i | ||||
\(170\) | −1752.72 | + | 2727.29i | −0.790751 | + | 1.23043i | ||||
\(171\) | −1905.43 | − | 524.712i | −0.852116 | − | 0.234653i | ||||
\(172\) | 223.259i | 0.0989730i | ||||||||
\(173\) | −412.777 | + | 642.294i | −0.181404 | + | 0.282270i | −0.920032 | − | 0.391843i | \(-0.871838\pi\) |
0.738628 | + | 0.674113i | \(0.235474\pi\) | |||||||
\(174\) | −1290.16 | + | 2889.36i | −0.562108 | + | 1.25886i | ||||
\(175\) | −857.184 | − | 123.244i | −0.370269 | − | 0.0532366i | ||||
\(176\) | 589.598 | − | 378.911i | 0.252515 | − | 0.162281i | ||||
\(177\) | 277.670 | + | 78.9916i | 0.117915 | + | 0.0335445i | ||||
\(178\) | 1970.54 | − | 899.917i | 0.829766 | − | 0.378942i | ||||
\(179\) | 1.10620 | − | 2.42224i | 0.000461906 | − | 0.00101143i | −0.909401 | − | 0.415921i | \(-0.863459\pi\) |
0.909863 | + | 0.414909i | \(0.136187\pi\) | |||||||
\(180\) | 257.066 | + | 159.139i | 0.106448 | + | 0.0658975i | ||||
\(181\) | 686.952 | + | 1504.22i | 0.282104 | + | 0.617721i | 0.996643 | − | 0.0818747i | \(-0.0260907\pi\) |
−0.714539 | + | 0.699596i | \(0.753363\pi\) | |||||||
\(182\) | −1879.34 | − | 2168.87i | −0.765418 | − | 0.883339i | ||||
\(183\) | 3612.46 | − | 30.4941i | 1.45924 | − | 0.0123180i | ||||
\(184\) | 3822.54 | + | 549.598i | 1.53153 | + | 0.220201i | ||||
\(185\) | −1194.95 | + | 350.870i | −0.474890 | + | 0.139440i | ||||
\(186\) | −2686.11 | + | 1758.47i | −1.05890 | + | 0.693211i | ||||
\(187\) | 1049.79 | − | 150.937i | 0.410526 | − | 0.0590247i | ||||
\(188\) | 255.919 | + | 398.217i | 0.0992808 | + | 0.154484i | ||||
\(189\) | −739.458 | − | 4356.79i | −0.284591 | − | 1.67677i | ||||
\(190\) | −2096.00 | + | 615.440i | −0.800314 | + | 0.234993i | ||||
\(191\) | −370.958 | + | 812.286i | −0.140532 | + | 0.307722i | −0.966791 | − | 0.255568i | \(-0.917737\pi\) |
0.826259 | + | 0.563290i | \(0.190465\pi\) | |||||||
\(192\) | −1638.41 | + | 1444.08i | −0.615844 | + | 0.542801i | ||||
\(193\) | 2194.34 | + | 1410.21i | 0.818403 | + | 0.525956i | 0.881573 | − | 0.472047i | \(-0.156485\pi\) |
−0.0631701 | + | 0.998003i | \(0.520121\pi\) | |||||||
\(194\) | 1972.32 | + | 1709.03i | 0.729919 | + | 0.632479i | ||||
\(195\) | −630.668 | + | 1412.40i | −0.231606 | + | 0.518688i | ||||
\(196\) | 706.313 | − | 207.392i | 0.257403 | − | 0.0755802i | ||||
\(197\) | −45.5652 | − | 316.913i | −0.0164791 | − | 0.114615i | 0.979922 | − | 0.199383i | \(-0.0638939\pi\) |
−0.996401 | + | 0.0847688i | \(0.972985\pi\) | |||||||
\(198\) | −126.675 | − | 786.543i | −0.0454668 | − | 0.282309i | ||||
\(199\) | 545.540 | − | 629.587i | 0.194333 | − | 0.224273i | −0.650217 | − | 0.759748i | \(-0.725322\pi\) |
0.844551 | + | 0.535476i | \(0.179868\pi\) | |||||||
\(200\) | 570.510 | 0.201706 | ||||||||
\(201\) | −2192.74 | + | 1820.03i | −0.769472 | + | 0.638680i | ||||
\(202\) | −4051.65 | −1.41125 | ||||||||
\(203\) | 4156.28 | − | 4796.60i | 1.43701 | − | 1.65840i | ||||
\(204\) | 612.632 | − | 185.516i | 0.210259 | − | 0.0636702i | ||||
\(205\) | −677.733 | − | 4713.74i | −0.230902 | − | 1.60596i | ||||
\(206\) | 1552.81 | − | 455.946i | 0.525192 | − | 0.154210i | ||||
\(207\) | 2644.90 | − | 4272.45i | 0.888083 | − | 1.43457i | ||||
\(208\) | 1635.52 | + | 1417.19i | 0.545206 | + | 0.472424i | ||||
\(209\) | 601.198 | + | 386.366i | 0.198975 | + | 0.127873i | ||||
\(210\) | −3229.69 | − | 3664.30i | −1.06129 | − | 1.20410i | ||||
\(211\) | 734.174 | − | 1607.62i | 0.239538 | − | 0.524516i | −0.751237 | − | 0.660033i | \(-0.770542\pi\) |
0.990775 | + | 0.135517i | \(0.0432695\pi\) | |||||||
\(212\) | −154.462 | + | 45.3542i | −0.0500401 | + | 0.0146931i | ||||
\(213\) | 1123.98 | + | 2407.20i | 0.361569 | + | 0.774359i | ||||
\(214\) | −48.8631 | − | 76.0325i | −0.0156085 | − | 0.0242873i | ||||
\(215\) | −1924.29 | + | 276.671i | −0.610398 | + | 0.0877620i | ||||
\(216\) | 890.661 | + | 2771.66i | 0.280564 | + | 0.873092i | ||||
\(217\) | 6178.62 | − | 1814.21i | 1.93287 | − | 0.567541i | ||||
\(218\) | 2116.64 | + | 304.327i | 0.657602 | + | 0.0945489i | ||||
\(219\) | −2.96046 | − | 350.709i | −0.000913467 | − | 0.108213i | ||||
\(220\) | −71.5924 | − | 82.6220i | −0.0219398 | − | 0.0253199i | ||||
\(221\) | 1360.43 | + | 2978.93i | 0.414084 | + | 0.906718i | ||||
\(222\) | 1808.53 | + | 807.548i | 0.546759 | + | 0.244140i | ||||
\(223\) | −300.811 | + | 658.684i | −0.0903309 | + | 0.197797i | −0.949405 | − | 0.314054i | \(-0.898313\pi\) |
0.859074 | + | 0.511851i | \(0.171040\pi\) | |||||||
\(224\) | −1459.79 | + | 666.664i | −0.435430 | + | 0.198854i | ||||
\(225\) | 296.929 | − | 680.350i | 0.0879790 | − | 0.201585i | ||||
\(226\) | −24.4223 | + | 15.6952i | −0.00718825 | + | 0.00461961i | ||||
\(227\) | 3737.97 | + | 537.439i | 1.09294 | + | 0.157141i | 0.665131 | − | 0.746727i | \(-0.268376\pi\) |
0.427812 | + | 0.903868i | \(0.359285\pi\) | |||||||
\(228\) | 393.837 | + | 175.857i | 0.114397 | + | 0.0510807i | ||||
\(229\) | 2109.59 | − | 3282.59i | 0.608758 | − | 0.947246i | −0.390882 | − | 0.920441i | \(-0.627830\pi\) |
0.999641 | − | 0.0268057i | \(-0.00853355\pi\) | |||||||
\(230\) | − | 5554.03i | − | 1.59227i | ||||||
\(231\) | −214.051 | + | 1583.53i | −0.0609675 | + | 0.451034i | ||||
\(232\) | −2260.53 | + | 3517.46i | −0.639704 | + | 0.995398i | ||||
\(233\) | −111.014 | + | 243.087i | −0.0312136 | + | 0.0683482i | −0.924597 | − | 0.380948i | \(-0.875598\pi\) |
0.893383 | + | 0.449296i | \(0.148325\pi\) | |||||||
\(234\) | 2220.11 | − | 1059.54i | 0.620227 | − | 0.296002i | ||||
\(235\) | −3115.13 | + | 2699.28i | −0.864718 | + | 0.749282i | ||||
\(236\) | −57.3091 | − | 26.1722i | −0.0158072 | − | 0.00721892i | ||||
\(237\) | −2505.90 | + | 2941.78i | −0.686818 | + | 0.806283i | ||||
\(238\) | −10341.3 | −2.81650 | ||||||||
\(239\) | −3049.43 | −0.825319 | −0.412660 | − | 0.910885i | \(-0.635400\pi\) | ||||
−0.412660 | + | 0.910885i | \(0.635400\pi\) | |||||||
\(240\) | 2803.92 | + | 2388.47i | 0.754136 | + | 0.642397i | ||||
\(241\) | 23.1500 | + | 6.79746i | 0.00618765 | + | 0.00181686i | 0.284825 | − | 0.958580i | \(-0.408065\pi\) |
−0.278637 | + | 0.960396i | \(0.589883\pi\) | |||||||
\(242\) | 531.480 | − | 3696.53i | 0.141177 | − | 0.981908i | ||||
\(243\) | 3768.85 | + | 380.407i | 0.994945 | + | 0.100424i | ||||
\(244\) | −780.380 | − | 112.202i | −0.204749 | − | 0.0294384i | ||||
\(245\) | 2662.82 | + | 5830.77i | 0.694374 | + | 1.52047i | ||||
\(246\) | −4040.68 | + | 6405.68i | −1.04725 | + | 1.66021i | ||||
\(247\) | −621.694 | + | 2117.29i | −0.160152 | + | 0.545426i | ||||
\(248\) | −3858.89 | + | 1762.29i | −0.988063 | + | 0.451233i | ||||
\(249\) | −2475.14 | + | 1620.36i | −0.629942 | + | 0.412394i | ||||
\(250\) | −647.662 | − | 4504.59i | −0.163847 | − | 1.13958i | ||||
\(251\) | 375.453 | − | 2611.33i | 0.0944159 | − | 0.656677i | −0.886569 | − | 0.462595i | \(-0.846918\pi\) |
0.980985 | − | 0.194082i | \(-0.0621727\pi\) | |||||||
\(252\) | 16.2808 | + | 964.278i | 0.00406981 | + | 0.241047i | ||||
\(253\) | −1373.18 | + | 1189.87i | −0.341230 | + | 0.295677i | ||||
\(254\) | 1073.88 | + | 7469.01i | 0.265281 | + | 1.84507i | ||||
\(255\) | 2358.18 | + | 5050.43i | 0.579117 | + | 1.24028i | ||||
\(256\) | 1437.26 | − | 923.672i | 0.350894 | − | 0.225506i | ||||
\(257\) | −882.904 | − | 3006.89i | −0.214296 | − | 0.729825i | −0.994541 | − | 0.104350i | \(-0.966724\pi\) |
0.780245 | − | 0.625474i | \(-0.215095\pi\) | |||||||
\(258\) | 2614.99 | + | 1649.53i | 0.631017 | + | 0.398044i | ||||
\(259\) | −3002.33 | − | 2601.53i | −0.720291 | − | 0.624136i | ||||
\(260\) | 182.505 | − | 283.984i | 0.0435327 | − | 0.0677382i | ||||
\(261\) | 3018.15 | + | 4526.46i | 0.715781 | + | 1.07349i | ||||
\(262\) | −1390.86 | + | 4736.84i | −0.327968 | + | 1.11696i | ||||
\(263\) | −606.876 | − | 2066.83i | −0.142287 | − | 0.484586i | 0.857253 | − | 0.514895i | \(-0.172169\pi\) |
−0.999541 | + | 0.0303088i | \(0.990351\pi\) | |||||||
\(264\) | −8.88590 | − | 1052.66i | −0.00207155 | − | 0.245405i | ||||
\(265\) | −582.327 | − | 1275.12i | −0.134989 | − | 0.295585i | ||||
\(266\) | −5266.21 | − | 4563.19i | −1.21388 | − | 1.05183i | ||||
\(267\) | 498.918 | − | 3690.96i | 0.114357 | − | 0.846005i | ||||
\(268\) | 532.920 | − | 320.566i | 0.121467 | − | 0.0730659i | ||||
\(269\) | − | 1000.66i | − | 0.226807i | −0.993549 | − | 0.113404i | \(-0.963825\pi\) | ||
0.993549 | − | 0.113404i | \(-0.0361753\pi\) | |||||||
\(270\) | 3763.28 | − | 1835.18i | 0.848244 | − | 0.413650i | ||||
\(271\) | 6084.70 | − | 2778.79i | 1.36391 | − | 0.622876i | 0.407044 | − | 0.913409i | \(-0.366560\pi\) |
0.956865 | + | 0.290532i | \(0.0938323\pi\) | |||||||
\(272\) | 7718.87 | − | 1109.81i | 1.72068 | − | 0.247397i | ||||
\(273\) | −4877.78 | + | 743.396i | −1.08138 | + | 0.164807i | ||||
\(274\) | −5612.90 | − | 1648.10i | −1.23755 | − | 0.363376i | ||||
\(275\) | −175.779 | + | 202.860i | −0.0385450 | + | 0.0444833i | ||||
\(276\) | −711.110 | + | 834.800i | −0.155086 | + | 0.182062i | ||||
\(277\) | 1380.01 | − | 1592.62i | 0.299339 | − | 0.345456i | −0.586077 | − | 0.810256i | \(-0.699328\pi\) |
0.885416 | + | 0.464800i | \(0.153874\pi\) | |||||||
\(278\) | 5502.52 | + | 2512.91i | 1.18712 | + | 0.542139i | ||||
\(279\) | 93.1830 | + | 5519.04i | 0.0199954 | + | 1.18429i | ||||
\(280\) | −3489.38 | − | 5429.58i | −0.744751 | − | 1.15886i | ||||
\(281\) | −731.729 | + | 470.254i | −0.155343 | + | 0.0998327i | −0.616003 | − | 0.787744i | \(-0.711249\pi\) |
0.460660 | + | 0.887577i | \(0.347613\pi\) | |||||||
\(282\) | 6555.08 | − | 55.3337i | 1.38422 | − | 0.0116847i | ||||
\(283\) | −4727.15 | − | 5455.42i | −0.992932 | − | 1.14590i | −0.989298 | − | 0.145911i | \(-0.953389\pi\) |
−0.00363381 | − | 0.999993i | \(-0.501157\pi\) | |||||||
\(284\) | −163.345 | − | 556.303i | −0.0341294 | − | 0.116234i | ||||
\(285\) | −1027.67 | + | 3612.45i | −0.213593 | + | 0.750818i | ||||
\(286\) | −880.469 | + | 126.592i | −0.182039 | + | 0.0261733i | ||||
\(287\) | 11480.4 | − | 9947.83i | 2.36121 | − | 2.04600i | ||||
\(288\) | −218.730 | − | 1358.13i | −0.0447528 | − | 0.277876i | ||||
\(289\) | 6608.85 | + | 1940.53i | 1.34518 | + | 0.394980i | ||||
\(290\) | 5469.92 | + | 2498.03i | 1.10760 | + | 0.505825i | ||||
\(291\) | 4294.37 | − | 1300.41i | 0.865087 | − | 0.261964i | ||||
\(292\) | −10.8929 | + | 75.7617i | −0.00218308 | + | 0.0151836i | ||||
\(293\) | 1635.34 | + | 2544.63i | 0.326066 | + | 0.507369i | 0.965125 | − | 0.261789i | \(-0.0843124\pi\) |
−0.639059 | + | 0.769158i | \(0.720676\pi\) | |||||||
\(294\) | 2789.39 | − | 9805.21i | 0.553335 | − | 1.94507i | ||||
\(295\) | 154.561 | − | 526.386i | 0.0305047 | − | 0.103889i | ||||
\(296\) | 2201.67 | + | 1414.93i | 0.432330 | + | 0.277842i | ||||
\(297\) | −1259.96 | − | 537.275i | −0.246162 | − | 0.104969i | ||||
\(298\) | 1518.77i | 0.295235i | ||||||||
\(299\) | −4719.82 | − | 3033.25i | −0.912891 | − | 0.586679i | ||||
\(300\) | −86.4319 | + | 137.020i | −0.0166338 | + | 0.0263695i | ||||
\(301\) | −4061.01 | − | 4686.66i | −0.777650 | − | 0.897456i | ||||
\(302\) | −6619.46 | − | 7639.26i | −1.26128 | − | 1.45560i | ||||
\(303\) | −3716.50 | + | 5891.75i | −0.704645 | + | 1.11707i | ||||
\(304\) | 4420.47 | + | 2840.86i | 0.833984 | + | 0.535969i | ||||
\(305\) | − | 6865.21i | − | 1.28886i | ||||||
\(306\) | 2353.46 | − | 8546.31i | 0.439668 | − | 1.59660i | ||||
\(307\) | −6589.98 | − | 4235.12i | −1.22511 | − | 0.787333i | −0.241991 | − | 0.970278i | \(-0.577801\pi\) |
−0.983123 | + | 0.182945i | \(0.941437\pi\) | |||||||
\(308\) | 98.2485 | − | 334.604i | 0.0181761 | − | 0.0619020i | ||||
\(309\) | 761.345 | − | 2676.27i | 0.140166 | − | 0.492711i | ||||
\(310\) | 3298.51 | + | 5132.58i | 0.604332 | + | 0.940359i | ||||
\(311\) | −530.568 | + | 3690.18i | −0.0967388 | + | 0.672833i | 0.882528 | + | 0.470259i | \(0.155840\pi\) |
−0.979267 | + | 0.202574i | \(0.935069\pi\) | |||||||
\(312\) | 3111.02 | − | 942.074i | 0.564509 | − | 0.170944i | ||||
\(313\) | −847.966 | − | 387.253i | −0.153131 | − | 0.0699324i | 0.337376 | − | 0.941370i | \(-0.390461\pi\) |
−0.490506 | + | 0.871438i | \(0.663188\pi\) | |||||||
\(314\) | 419.472 | + | 123.168i | 0.0753891 | + | 0.0221362i | ||||
\(315\) | −8291.02 | + | 1335.30i | −1.48300 | + | 0.238843i | ||||
\(316\) | 637.368 | − | 552.283i | 0.113464 | − | 0.0983175i | ||||
\(317\) | 5156.50 | − | 741.393i | 0.913621 | − | 0.131359i | 0.330558 | − | 0.943786i | \(-0.392763\pi\) |
0.583063 | + | 0.812427i | \(0.301854\pi\) | |||||||
\(318\) | −610.005 | + | 2144.28i | −0.107570 | + | 0.378130i | ||||
\(319\) | −554.234 | − | 1887.55i | −0.0972764 | − | 0.331293i | ||||
\(320\) | 2717.90 | + | 3136.62i | 0.474797 | + | 0.547945i | ||||
\(321\) | −155.385 | + | 1.31166i | −0.0270179 | + | 0.000228067i | ||||
\(322\) | 14904.1 | − | 9578.29i | 2.57942 | − | 1.65769i | ||||
\(323\) | 4299.00 | + | 6689.37i | 0.740565 | + | 1.15234i | ||||
\(324\) | −800.608 | − | 205.994i | −0.137278 | − | 0.0353214i | ||||
\(325\) | −753.933 | − | 344.310i | −0.128679 | − | 0.0587657i | ||||
\(326\) | −5238.02 | + | 6045.00i | −0.889899 | + | 1.02700i | ||||
\(327\) | 2384.10 | − | 2798.79i | 0.403183 | − | 0.473313i | ||||
\(328\) | −6553.52 | + | 7563.17i | −1.10322 | + | 1.27319i | ||||
\(329\) | −12615.7 | − | 3704.30i | −2.11406 | − | 0.620744i | ||||
\(330\) | −1496.69 | + | 228.103i | −0.249667 | + | 0.0380504i | ||||
\(331\) | −9426.90 | + | 1355.38i | −1.56541 | + | 0.225071i | −0.869819 | − | 0.493371i | \(-0.835765\pi\) |
−0.695587 | + | 0.718442i | \(0.744856\pi\) | |||||||
\(332\) | 587.282 | − | 268.203i | 0.0970821 | − | 0.0443359i | ||||
\(333\) | 2833.23 | − | 1889.14i | 0.466247 | − | 0.310884i | ||||
\(334\) | − | 8808.18i | − | 1.44300i | ||||||
\(335\) | 3423.40 | + | 4196.03i | 0.558330 | + | 0.684339i | ||||
\(336\) | −1573.87 | + | 11643.4i | −0.255540 | + | 1.89047i | ||||
\(337\) | 6403.21 | + | 5548.41i | 1.03503 | + | 0.896858i | 0.994750 | − | 0.102330i | \(-0.0326299\pi\) |
0.0402791 | + | 0.999188i | \(0.487175\pi\) | |||||||
\(338\) | 1617.30 | + | 3541.39i | 0.260265 | + | 0.569900i | ||||
\(339\) | 0.421315 | + | 49.9108i | 6.75005e−5 | + | 0.00799642i | ||||
\(340\) | −342.707 | − | 1167.15i | −0.0546644 | − | 0.186170i | ||||
\(341\) | 562.325 | − | 1915.10i | 0.0893010 | − | 0.304131i | ||||
\(342\) | 4969.61 | − | 3313.64i | 0.785748 | − | 0.523921i | ||||
\(343\) | −5213.48 | + | 8112.33i | −0.820703 | + | 1.27704i | ||||
\(344\) | 3087.52 | + | 2675.35i | 0.483918 | + | 0.419317i | ||||
\(345\) | −8076.45 | − | 5094.61i | −1.26035 | − | 0.795027i | ||||
\(346\) | −650.092 | − | 2214.01i | −0.101009 | − | 0.344005i | ||||
\(347\) | −2150.34 | + | 1381.94i | −0.332669 | + | 0.213793i | −0.696302 | − | 0.717749i | \(-0.745173\pi\) |
0.363633 | + | 0.931542i | \(0.381536\pi\) | |||||||
\(348\) | −502.322 | − | 1075.81i | −0.0773773 | − | 0.165716i | ||||
\(349\) | −516.808 | − | 3594.48i | −0.0792667 | − | 0.551312i | −0.990296 | − | 0.138971i | \(-0.955620\pi\) |
0.911030 | − | 0.412341i | \(-0.135289\pi\) | |||||||
\(350\) | 1978.00 | − | 1713.94i | 0.302081 | − | 0.261755i | ||||
\(351\) | 495.717 | − | 4200.30i | 0.0753830 | − | 0.638733i | ||||
\(352\) | −70.7906 | + | 492.360i | −0.0107192 | + | 0.0745536i | ||||
\(353\) | −891.815 | − | 6202.71i | −0.134466 | − | 0.935232i | −0.939633 | − | 0.342184i | \(-0.888833\pi\) |
0.805167 | − | 0.593048i | \(-0.202076\pi\) | |||||||
\(354\) | −729.974 | + | 477.880i | −0.109598 | + | 0.0717487i | ||||
\(355\) | 4592.40 | − | 2097.28i | 0.686590 | − | 0.313555i | ||||
\(356\) | −229.002 | + | 779.908i | −0.0340929 | + | 0.116110i | ||||
\(357\) | −9485.89 | + | 15037.9i | −1.40629 | + | 2.22939i | ||||
\(358\) | 3.34321 | + | 7.32061i | 0.000493559 | + | 0.00108074i | ||||
\(359\) | −3419.59 | − | 491.662i | −0.502726 | − | 0.0722812i | −0.113714 | − | 0.993514i | \(-0.536275\pi\) |
−0.389013 | + | 0.921232i | \(0.627184\pi\) | |||||||
\(360\) | 5281.25 | − | 1648.05i | 0.773184 | − | 0.241278i | ||||
\(361\) | 213.614 | − | 1485.72i | 0.0311436 | − | 0.216609i | ||||
\(362\) | −4795.31 | − | 1408.03i | −0.696232 | − | 0.204432i | ||||
\(363\) | −4887.83 | − | 4163.61i | −0.706734 | − | 0.602019i | ||||
\(364\) | 1076.81 | 0.155055 | ||||||||
\(365\) | −666.496 | −0.0955781 | ||||||||
\(366\) | −7079.97 | + | 8311.45i | −1.01114 | + | 1.18701i | ||||
\(367\) | 6163.61 | + | 2814.83i | 0.876670 | + | 0.400362i | 0.802337 | − | 0.596872i | \(-0.203590\pi\) |
0.0743335 | + | 0.997233i | \(0.476317\pi\) | |||||||
\(368\) | −10096.7 | + | 8748.82i | −1.43023 | + | 1.23930i | ||||
\(369\) | 5608.44 | + | 11751.6i | 0.791229 | + | 1.65790i | ||||
\(370\) | 1563.58 | − | 3423.77i | 0.219694 | − | 0.481063i | ||||
\(371\) | 2417.49 | − | 3761.69i | 0.338302 | − | 0.526408i | ||||
\(372\) | 161.367 | − | 1193.78i | 0.0224905 | − | 0.166383i | ||||
\(373\) | 8530.70i | 1.18419i | 0.805868 | + | 0.592095i | \(0.201699\pi\) | ||||
−0.805868 | + | 0.592095i | \(0.798301\pi\) | |||||||
\(374\) | −1732.95 | + | 2696.52i | −0.239595 | + | 0.372817i | ||||
\(375\) | −7144.49 | − | 3190.17i | −0.983840 | − | 0.439306i | ||||
\(376\) | 8573.78 | + | 1232.72i | 1.17596 | + | 0.169077i | ||||
\(377\) | 5110.14 | − | 3284.09i | 0.698105 | − | 0.448645i | ||||
\(378\) | 11414.7 | + | 6933.79i | 1.55320 | + | 0.943481i | ||||
\(379\) | 6260.21 | − | 2858.94i | 0.848458 | − | 0.387478i | 0.0567581 | − | 0.998388i | \(-0.481924\pi\) |
0.791700 | + | 0.610910i | \(0.209196\pi\) | |||||||
\(380\) | 340.496 | − | 745.583i | 0.0459661 | − | 0.100652i | ||||
\(381\) | 11846.2 | + | 5289.59i | 1.59291 | + | 0.711270i | ||||
\(382\) | −1121.13 | − | 2454.93i | −0.150162 | − | 0.328809i | ||||
\(383\) | −2588.94 | − | 2987.80i | −0.345402 | − | 0.398615i | 0.556294 | − | 0.830985i | \(-0.312223\pi\) |
−0.901696 | + | 0.432370i | \(0.857677\pi\) | |||||||
\(384\) | −73.5929 | − | 8718.14i | −0.00978000 | − | 1.15858i | ||||
\(385\) | 3005.74 | + | 432.159i | 0.397887 | + | 0.0572075i | ||||
\(386\) | −7563.95 | + | 2220.98i | −0.997396 | + | 0.292862i | ||||
\(387\) | 4797.37 | − | 2289.54i | 0.630139 | − | 0.300733i | ||||
\(388\) | −969.255 | + | 139.358i | −0.126821 | + | 0.0182341i | ||||
\(389\) | −5168.63 | − | 8042.55i | −0.673676 | − | 1.04826i | −0.994862 | − | 0.101244i | \(-0.967718\pi\) |
0.321185 | − | 0.947016i | \(-0.395919\pi\) | |||||||
\(390\) | −1977.83 | − | 4235.84i | −0.256798 | − | 0.549975i | ||||
\(391\) | −19398.1 | + | 5695.80i | −2.50896 | + | 0.736698i | ||||
\(392\) | 5595.77 | − | 12253.0i | 0.720993 | − | 1.57875i | ||||
\(393\) | 5612.32 | + | 6367.55i | 0.720366 | + | 0.817304i | ||||
\(394\) | 814.029 | + | 523.145i | 0.104087 | + | 0.0668925i | ||||
\(395\) | 5550.03 | + | 4809.13i | 0.706968 | + | 0.612591i | ||||
\(396\) | 254.166 | + | 157.344i | 0.0322533 | + | 0.0199667i | ||||
\(397\) | −4316.15 | + | 1267.34i | −0.545646 | + | 0.160216i | −0.542926 | − | 0.839780i | \(-0.682684\pi\) |
−0.00271926 | + | 0.999996i | \(0.500866\pi\) | |||||||
\(398\) | 358.310 | + | 2492.10i | 0.0451267 | + | 0.313863i | ||||
\(399\) | −11466.2 | + | 3472.18i | −1.43867 | + | 0.435655i | ||||
\(400\) | −1292.46 | + | 1491.58i | −0.161558 | + | 0.186448i | ||||
\(401\) | −5144.78 | −0.640694 | −0.320347 | − | 0.947300i | \(-0.603799\pi\) | ||||
−0.320347 | + | 0.947300i | \(0.603799\pi\) | |||||||
\(402\) | 182.709 | − | 8610.47i | 0.0226683 | − | 1.06829i | ||||
\(403\) | 6163.11 | 0.761802 | ||||||||
\(404\) | 995.549 | − | 1148.92i | 0.122600 | − | 0.141488i | ||||
\(405\) | 783.339 | − | 7155.79i | 0.0961097 | − | 0.877961i | ||||
\(406\) | 2729.83 | + | 18986.4i | 0.333693 | + | 2.32089i | ||||
\(407\) | −1181.47 | + | 346.911i | −0.143890 | + | 0.0422499i | ||||
\(408\) | 4775.70 | − | 10695.3i | 0.579491 | − | 1.29779i | ||||
\(409\) | −5074.60 | − | 4397.17i | −0.613504 | − | 0.531604i | 0.291740 | − | 0.956498i | \(-0.405766\pi\) |
−0.905243 | + | 0.424894i | \(0.860311\pi\) | |||||||
\(410\) | 12107.8 | + | 7781.22i | 1.45844 | + | 0.937286i | ||||
\(411\) | −7545.20 | + | 6650.29i | −0.905541 | + | 0.798138i | ||||
\(412\) | −252.255 | + | 552.362i | −0.0301644 | + | 0.0660508i | ||||
\(413\) | 1679.10 | − | 493.027i | 0.200056 | − | 0.0587416i | ||||
\(414\) | 4523.88 | + | 14496.9i | 0.537045 | + | 1.72098i | ||||
\(415\) | 3039.45 | + | 4729.47i | 0.359519 | + | 0.559423i | ||||
\(416\) | −1520.31 | + | 218.587i | −0.179181 | + | 0.0257623i | ||||
\(417\) | 8701.54 | − | 5696.49i | 1.02186 | − | 0.668965i | ||||
\(418\) | −2072.35 | + | 608.496i | −0.242492 | + | 0.0712022i | ||||
\(419\) | 1691.19 | + | 243.156i | 0.197183 | + | 0.0283507i | 0.240199 | − | 0.970724i | \(-0.422787\pi\) |
−0.0430155 | + | 0.999074i | \(0.513696\pi\) | |||||||
\(420\) | 1832.67 | − | 15.4702i | 0.212917 | − | 0.00179730i | ||||
\(421\) | 73.8427 | + | 85.2190i | 0.00854839 | + | 0.00986537i | 0.760008 | − | 0.649914i | \(-0.225195\pi\) |
−0.751459 | + | 0.659779i | \(0.770650\pi\) | |||||||
\(422\) | 2218.86 | + | 4858.62i | 0.255953 | + | 0.560459i | ||||
\(423\) | 5932.39 | − | 9582.90i | 0.681898 | − | 1.10151i | ||||
\(424\) | −1223.73 | + | 2679.59i | −0.140164 | + | 0.306916i | ||||
\(425\) | −2716.76 | + | 1240.70i | −0.310076 | + | 0.141607i | ||||
\(426\) | −7722.73 | − | 2196.96i | −0.878328 | − | 0.249867i | ||||
\(427\) | 18422.7 | − | 11839.5i | 2.08790 | − | 1.34181i | ||||
\(428\) | 33.5669 | + | 4.82619i | 0.00379093 | + | 0.000545053i | ||||
\(429\) | −623.552 | + | 1396.46i | −0.0701757 | + | 0.157161i | ||||
\(430\) | 3176.53 | − | 4942.78i | 0.356247 | − | 0.554330i | ||||
\(431\) | 5352.65i | 0.598209i | 0.954220 | + | 0.299105i | \(0.0966880\pi\) | ||||
−0.954220 | + | 0.299105i | \(0.903312\pi\) | |||||||
\(432\) | −9264.18 | − | 3950.46i | −1.03177 | − | 0.439969i | ||||
\(433\) | −1792.53 | + | 2789.23i | −0.198946 | + | 0.309565i | −0.926364 | − | 0.376628i | \(-0.877083\pi\) |
0.727419 | + | 0.686194i | \(0.240720\pi\) | |||||||
\(434\) | −8084.68 | + | 17703.0i | −0.894186 | + | 1.95799i | ||||
\(435\) | 8649.99 | − | 5662.75i | 0.953414 | − | 0.624156i | ||||
\(436\) | −606.388 | + | 525.438i | −0.0666071 | + | 0.0577154i | ||||
\(437\) | −12391.6 | − | 5659.06i | −1.35646 | − | 0.619473i | ||||
\(438\) | 806.902 | + | 687.346i | 0.0880257 | + | 0.0749832i | ||||
\(439\) | 10721.7 | 1.16565 | 0.582824 | − | 0.812598i | \(-0.301948\pi\) | ||||
0.582824 | + | 0.812598i | \(0.301948\pi\) | |||||||
\(440\) | −2000.51 | −0.216751 | ||||||||
\(441\) | −11699.7 | − | 13050.4i | −1.26333 | − | 1.40917i | ||||
\(442\) | −9496.58 | − | 2788.45i | −1.02196 | − | 0.300074i | ||||
\(443\) | −1548.68 | + | 10771.3i | −0.166095 | + | 1.15522i | 0.720766 | + | 0.693178i | \(0.243790\pi\) |
−0.886861 | + | 0.462037i | \(0.847119\pi\) | |||||||
\(444\) | −673.377 | + | 314.417i | −0.0719754 | + | 0.0336072i | ||||
\(445\) | −7005.89 | − | 1007.30i | −0.746317 | − | 0.107304i | ||||
\(446\) | −909.126 | − | 1990.71i | −0.0965210 | − | 0.211352i | ||||
\(447\) | 2208.53 | + | 1393.14i | 0.233691 | + | 0.147412i | ||||
\(448\) | −3729.86 | + | 12702.7i | −0.393346 | + | 1.33961i | ||||
\(449\) | −15346.9 | + | 7008.70i | −1.61306 | + | 0.736661i | −0.998631 | − | 0.0523080i | \(-0.983342\pi\) |
−0.614432 | + | 0.788969i | \(0.710615\pi\) | |||||||
\(450\) | 966.295 | + | 2024.72i | 0.101226 | + | 0.212103i | ||||
\(451\) | −670.086 | − | 4660.55i | −0.0699626 | − | 0.486600i | ||||
\(452\) | 1.55021 | − | 10.7820i | 0.000161318 | − | 0.00112199i | ||||
\(453\) | −17180.6 | + | 2618.41i | −1.78193 | + | 0.271575i | ||||
\(454\) | −8625.57 | + | 7474.10i | −0.891669 | + | 0.772636i | ||||
\(455\) | 1334.42 | + | 9281.11i | 0.137492 | + | 0.956275i | ||||
\(456\) | 7151.39 | − | 3339.17i | 0.734418 | − | 0.342919i | ||||
\(457\) | −10777.4 | + | 6926.19i | −1.10316 | + | 0.708958i | −0.959792 | − | 0.280712i | \(-0.909429\pi\) |
−0.143368 | + | 0.989670i | \(0.545793\pi\) | |||||||
\(458\) | 3322.44 | + | 11315.2i | 0.338968 | + | 1.15442i | ||||
\(459\) | −10268.9 | − | 11261.7i | −1.04425 | − | 1.14521i | ||||
\(460\) | 1574.95 | + | 1364.71i | 0.159636 | + | 0.138325i | ||||
\(461\) | −9361.05 | + | 14566.1i | −0.945743 | + | 1.47160i | −0.0650697 | + | 0.997881i | \(0.520727\pi\) |
−0.880673 | + | 0.473724i | \(0.842909\pi\) | |||||||
\(462\) | −3193.25 | − | 3622.96i | −0.321566 | − | 0.364838i | ||||
\(463\) | 2053.56 | − | 6993.79i | 0.206128 | − | 0.702006i | −0.789922 | − | 0.613207i | \(-0.789879\pi\) |
0.996050 | − | 0.0887987i | \(-0.0283028\pi\) | |||||||
\(464\) | −4075.16 | − | 13878.7i | −0.407725 | − | 1.38858i | ||||
\(465\) | 10489.3 | − | 88.5436i | 1.04608 | − | 0.00883034i | ||||
\(466\) | −335.512 | − | 734.668i | −0.0333525 | − | 0.0730319i | ||||
\(467\) | −4728.49 | − | 4097.26i | −0.468541 | − | 0.405993i | 0.388333 | − | 0.921519i | \(-0.373051\pi\) |
−0.856874 | + | 0.515526i | \(0.827596\pi\) | |||||||
\(468\) | −245.058 | + | 889.901i | −0.0242048 | + | 0.0878967i | ||||
\(469\) | −5356.08 | + | 16423.0i | −0.527336 | + | 1.61693i | ||||
\(470\) | − | 12457.4i | − | 1.22259i | ||||||
\(471\) | 563.880 | − | 497.000i | 0.0551639 | − | 0.0486211i | ||||
\(472\) | −1048.69 | + | 478.919i | −0.102266 | + | 0.0467035i | ||||
\(473\) | −1902.58 | + | 273.550i | −0.184949 | + | 0.0265916i | ||||
\(474\) | −1759.64 | − | 11545.9i | −0.170513 | − | 1.11882i | ||||
\(475\) | −1930.96 | − | 566.980i | −0.186523 | − | 0.0547680i | ||||
\(476\) | 2541.01 | − | 2932.48i | 0.244678 | − | 0.282374i | ||||
\(477\) | 2558.58 | + | 2853.96i | 0.245596 | + | 0.273949i | ||||
\(478\) | 6035.29 | − | 6965.10i | 0.577506 | − | 0.666477i | ||||
\(479\) | 152.924 | + | 69.8382i | 0.0145872 | + | 0.00666177i | 0.422695 | − | 0.906272i | \(-0.361084\pi\) |
−0.408108 | + | 0.912934i | \(0.633811\pi\) | |||||||
\(480\) | −2584.34 | + | 393.865i | −0.245747 | + | 0.0374529i | ||||
\(481\) | −2055.60 | − | 3198.58i | −0.194859 | − | 0.303207i | ||||
\(482\) | −61.3433 | + | 39.4229i | −0.00579691 | + | 0.00372545i | ||||
\(483\) | −257.115 | − | 30459.0i | −0.0242218 | − | 2.86942i | ||||
\(484\) | 917.630 | + | 1059.00i | 0.0861786 | + | 0.0994554i | ||||
\(485\) | −2402.28 | − | 8181.40i | −0.224911 | − | 0.765976i | ||||
\(486\) | −8328.00 | + | 7855.40i | −0.777295 | + | 0.733186i | ||||
\(487\) | 11441.4 | − | 1645.02i | 1.06460 | − | 0.153066i | 0.412313 | − | 0.911042i | \(-0.364721\pi\) |
0.652282 | + | 0.757976i | \(0.273812\pi\) | |||||||
\(488\) | −10903.1 | + | 9447.58i | −1.01139 | + | 0.876377i | ||||
\(489\) | 3985.66 | + | 13161.9i | 0.368585 | + | 1.21718i | ||||
\(490\) | −18588.0 | − | 5457.93i | −1.71371 | − | 0.503192i | ||||
\(491\) | 16420.9 | + | 7499.19i | 1.50930 | + | 0.689275i | 0.986587 | − | 0.163234i | \(-0.0521925\pi\) |
0.522713 | + | 0.852508i | \(0.324920\pi\) | |||||||
\(492\) | −823.600 | − | 2719.78i | −0.0754690 | − | 0.249222i | ||||
\(493\) | 3115.12 | − | 21666.1i | 0.284580 | − | 1.97930i | ||||
\(494\) | −3605.61 | − | 5610.44i | −0.328389 | − | 0.510983i | ||||
\(495\) | −1041.19 | + | 2385.66i | −0.0945413 | + | 0.216621i | ||||
\(496\) | 4134.65 | − | 14081.3i | 0.374297 | − | 1.27474i | ||||
\(497\) | 13547.9 | + | 8706.71i | 1.22275 | + | 0.785814i | ||||
\(498\) | 1197.67 | − | 8860.31i | 0.107769 | − | 0.797269i | ||||
\(499\) | 11887.5i | 1.06645i | 0.845973 | + | 0.533226i | \(0.179021\pi\) | ||||
−0.845973 | + | 0.533226i | \(0.820979\pi\) | |||||||
\(500\) | 1436.50 | + | 923.186i | 0.128485 | + | 0.0825722i | ||||
\(501\) | −12808.5 | − | 8079.58i | −1.14220 | − | 0.720497i | ||||
\(502\) | 5221.38 | + | 6025.79i | 0.464226 | + | 0.535745i | ||||
\(503\) | −4505.70 | − | 5199.85i | −0.399402 | − | 0.460934i | 0.520051 | − | 0.854135i | \(-0.325913\pi\) |
−0.919452 | + | 0.393201i | \(0.871368\pi\) | |||||||
\(504\) | 13530.4 | + | 11329.9i | 1.19582 | + | 1.00134i | ||||
\(505\) | 11136.4 | + | 7156.94i | 0.981315 | + | 0.630653i | ||||
\(506\) | − | 5491.36i | − | 0.482452i | ||||||
\(507\) | 6633.27 | + | 896.639i | 0.581053 | + | 0.0785427i | ||||
\(508\) | −2381.85 | − | 1530.72i | −0.208027 | − | 0.133691i | ||||
\(509\) | −1256.92 | + | 4280.69i | −0.109454 | + | 0.372767i | −0.995943 | − | 0.0899826i | \(-0.971319\pi\) |
0.886489 | + | 0.462749i | \(0.153137\pi\) | |||||||
\(510\) | −16202.7 | − | 4609.35i | −1.40680 | − | 0.400206i | ||||
\(511\) | −1149.42 | − | 1788.53i | −0.0995054 | − | 0.154833i | ||||
\(512\) | 1175.45 | − | 8175.42i | 0.101461 | − | 0.705676i | ||||
\(513\) | −260.030 | − | 10266.2i | −0.0223793 | − | 0.883551i | ||||
\(514\) | 8615.34 | + | 3934.50i | 0.739312 | + | 0.337633i | ||||
\(515\) | −5073.47 | − | 1489.71i | −0.434104 | − | 0.127465i | ||||
\(516\) | −1110.30 | + | 336.219i | −0.0947251 | + | 0.0286845i | ||||
\(517\) | −3079.98 | + | 2668.82i | −0.262007 | + | 0.227030i | ||||
\(518\) | 11884.1 | − | 1708.68i | 1.00803 | − | 0.144933i | ||||
\(519\) | −3815.84 | − | 1085.53i | −0.322730 | − | 0.0918103i | ||||
\(520\) | −1740.31 | − | 5926.95i | −0.146765 | − | 0.499834i | ||||
\(521\) | −6810.98 | − | 7860.29i | −0.572734 | − | 0.660970i | 0.393293 | − | 0.919413i | \(-0.371336\pi\) |
−0.966026 | + | 0.258443i | \(0.916791\pi\) | |||||||
\(522\) | −16312.1 | − | 2064.90i | −1.36774 | − | 0.173138i | ||||
\(523\) | 13075.3 | − | 8403.00i | 1.09320 | − | 0.702557i | 0.135631 | − | 0.990759i | \(-0.456694\pi\) |
0.957570 | + | 0.288202i | \(0.0930575\pi\) | |||||||
\(524\) | −1001.47 | − | 1558.32i | −0.0834912 | − | 0.129915i | ||||
\(525\) | −677.971 | − | 4448.49i | −0.0563601 | − | 0.369806i | ||||
\(526\) | 5921.87 | + | 2704.43i | 0.490886 | + | 0.224180i | ||||
\(527\) | 14543.5 | − | 16784.0i | 1.20213 | − | 1.38733i | ||||
\(528\) | 2772.29 | + | 2361.53i | 0.228501 | + | 0.194644i | ||||
\(529\) | 14713.7 | − | 16980.6i | 1.20932 | − | 1.39563i | ||||
\(530\) | 4064.97 | + | 1193.58i | 0.333153 | + | 0.0978225i | ||||
\(531\) | 25.3233 | + | 1499.85i | 0.00206956 | + | 0.122576i | ||||
\(532\) | 2587.97 | − | 372.093i | 0.210907 | − | 0.0303239i | ||||
\(533\) | 13225.0 | − | 6039.65i | 1.07474 | − | 0.490818i | ||||
\(534\) | 7442.96 | + | 8444.54i | 0.603162 | + | 0.684328i | ||||
\(535\) | 295.297i | 0.0238632i | ||||||||
\(536\) | 1952.87 | − | 11211.3i | 0.157371 | − | 0.903460i | ||||
\(537\) | 13.7120 | + | 1.85349i | 0.00110189 | + | 0.000148946i | ||||
\(538\) | 2285.57 | + | 1980.46i | 0.183156 | + | 0.158705i | ||||
\(539\) | 2632.78 | + | 5764.98i | 0.210393 | + | 0.460696i | ||||
\(540\) | −404.291 | + | 1518.08i | −0.0322184 | + | 0.120977i | ||||
\(541\) | −234.432 | − | 798.402i | −0.0186303 | − | 0.0634491i | 0.949653 | − | 0.313303i | \(-0.101436\pi\) |
−0.968284 | + | 0.249854i | \(0.919617\pi\) | |||||||
\(542\) | −5695.62 | + | 19397.5i | −0.451380 | + | 1.53726i | ||||
\(543\) | −6446.15 | + | 5681.59i | −0.509449 | + | 0.449025i | ||||
\(544\) | −2992.28 | + | 4656.08i | −0.235833 | + | 0.366963i | ||||
\(545\) | −5280.26 | − | 4575.37i | −0.415012 | − | 0.359610i | ||||
\(546\) | 7955.90 | − | 12612.5i | 0.623592 | − | 0.988577i | ||||
\(547\) | 1815.72 | + | 6183.78i | 0.141928 | + | 0.483362i | 0.999520 | − | 0.0309676i | \(-0.00985886\pi\) |
−0.857592 | + | 0.514330i | \(0.828041\pi\) | |||||||
\(548\) | 1846.52 | − | 1186.69i | 0.143940 | − | 0.0925049i | ||||
\(549\) | 5591.87 | + | 17919.4i | 0.434709 | + | 1.39304i | ||||
\(550\) | −115.451 | − | 802.981i | −0.00895065 | − | 0.0622531i | ||||
\(551\) | 11146.7 | − | 9658.68i | 0.861826 | − | 0.746776i | ||||
\(552\) | 3023.36 | + | 19837.7i | 0.233121 | + | 1.52962i | ||||
\(553\) | −3333.79 | + | 23187.0i | −0.256360 | + | 1.78303i | ||||
\(554\) | 906.390 | + | 6304.08i | 0.0695105 | + | 0.483456i | ||||
\(555\) | −3544.47 | − | 5414.27i | −0.271089 | − | 0.414095i | ||||
\(556\) | −2064.63 | + | 942.886i | −0.157482 | + | 0.0719196i | ||||
\(557\) | −1936.85 | + | 6596.32i | −0.147338 | + | 0.501787i | −0.999779 | − | 0.0210371i | \(-0.993303\pi\) |
0.852441 | + | 0.522824i | \(0.175121\pi\) | |||||||
\(558\) | −12790.3 | − | 10710.2i | −0.970350 | − | 0.812542i | ||||
\(559\) | −2465.57 | − | 5398.85i | −0.186552 | − | 0.408492i | ||||
\(560\) | 22100.5 | + | 3177.57i | 1.66771 | + | 0.239780i | ||||
\(561\) | 2331.57 | + | 4993.45i | 0.175471 | + | 0.375799i | ||||
\(562\) | 374.114 | − | 2602.02i | 0.0280802 | − | 0.195302i | ||||
\(563\) | −12598.6 | − | 3699.30i | −0.943108 | − | 0.276921i | −0.226193 | − | 0.974082i | \(-0.572628\pi\) |
−0.716915 | + | 0.697161i | \(0.754446\pi\) | |||||||
\(564\) | −1594.99 | + | 1872.42i | −0.119080 | + | 0.139793i | ||||
\(565\) | 94.8518 | 0.00706273 | ||||||||
\(566\) | 21816.3 | 1.62015 | ||||||||
\(567\) | 20553.3 | − | 10238.6i | 1.52233 | − | 0.758341i | ||||
\(568\) | −9650.67 | − | 4407.31i | −0.712910 | − | 0.325575i | ||||
\(569\) | 2964.85 | − | 2569.05i | 0.218441 | − | 0.189280i | −0.538766 | − | 0.842456i | \(-0.681109\pi\) |
0.757206 | + | 0.653176i | \(0.226564\pi\) | |||||||
\(570\) | −6217.15 | − | 9496.85i | −0.456856 | − | 0.697859i | ||||
\(571\) | −7703.83 | + | 16869.0i | −0.564615 | + | 1.23634i | 0.385000 | + | 0.922917i | \(0.374202\pi\) |
−0.949615 | + | 0.313419i | \(0.898526\pi\) | |||||||
\(572\) | 180.446 | − | 280.780i | 0.0131903 | − | 0.0205245i | ||||
\(573\) | −4598.26 | − | 621.559i | −0.335244 | − | 0.0453159i | ||||
\(574\) | 45910.3i | 3.33843i | ||||||||
\(575\) | 2766.30 | − | 4304.44i | 0.200630 | − | 0.312187i | ||||
\(576\) | −9649.01 | − | 5973.31i | −0.697989 | − | 0.432097i | ||||
\(577\) | 9172.90 | + | 1318.86i | 0.661825 | + | 0.0951560i | 0.465039 | − | 0.885290i | \(-0.346040\pi\) |
0.196786 | + | 0.980446i | \(0.436950\pi\) | |||||||
\(578\) | −17512.2 | + | 11254.4i | −1.26023 | + | 0.809901i | ||||
\(579\) | −3708.61 | + | 13036.5i | −0.266191 | + | 0.935711i | ||||
\(580\) | −2052.40 | + | 937.300i | −0.146933 | + | 0.0671022i | ||||
\(581\) | −7449.70 | + | 16312.6i | −0.531955 | + | 1.16482i | ||||
\(582\) | −5528.99 | + | 12382.3i | −0.393787 | + | 0.881898i | ||||
\(583\) | −575.757 | − | 1260.73i | −0.0409012 | − | 0.0895612i | ||||
\(584\) | 917.200 | + | 1058.51i | 0.0649898 | + | 0.0750022i | ||||
\(585\) | −7973.82 | − | 1009.38i | −0.563551 | − | 0.0713382i | ||||
\(586\) | −9048.69 | − | 1301.00i | −0.637880 | − | 0.0917133i | ||||
\(587\) | 23993.6 | − | 7045.16i | 1.68709 | − | 0.495375i | 0.709292 | − | 0.704915i | \(-0.249015\pi\) |
0.977800 | + | 0.209540i | \(0.0671967\pi\) | |||||||
\(588\) | 2095.07 | + | 3200.27i | 0.146937 | + | 0.224450i | ||||
\(589\) | 14812.2 | − | 2129.68i | 1.03621 | − | 0.148984i | ||||
\(590\) | 896.400 | + | 1394.83i | 0.0625495 | + | 0.0973290i | ||||
\(591\) | 1507.43 | − | 703.859i | 0.104920 | − | 0.0489897i | ||||
\(592\) | −8687.07 | + | 2550.75i | −0.603102 | + | 0.177087i | ||||
\(593\) | −495.692 | + | 1085.41i | −0.0343265 | + | 0.0751646i | −0.926019 | − | 0.377478i | \(-0.876791\pi\) |
0.891692 | + | 0.452643i | \(0.149519\pi\) | |||||||
\(594\) | 3720.82 | − | 1814.47i | 0.257015 | − | 0.125335i | ||||
\(595\) | 28424.2 | + | 18267.1i | 1.95845 | + | 1.25862i | ||||
\(596\) | −430.676 | − | 373.183i | −0.0295993 | − | 0.0256480i | ||||
\(597\) | 3952.58 | + | 1764.92i | 0.270969 | + | 0.120994i | ||||
\(598\) | 16269.4 | − | 4777.12i | 1.11255 | − | 0.326674i | ||||
\(599\) | −2517.53 | − | 17509.8i | −0.171725 | − | 1.19438i | −0.875238 | − | 0.483692i | \(-0.839295\pi\) |
0.703513 | − | 0.710683i | \(-0.251614\pi\) | |||||||
\(600\) | 859.164 | + | 2837.23i | 0.0584587 | + | 0.193049i | ||||
\(601\) | −1527.10 | + | 1762.36i | −0.103647 | + | 0.119614i | −0.805203 | − | 0.593000i | \(-0.797944\pi\) |
0.701556 | + | 0.712614i | \(0.252489\pi\) | |||||||
\(602\) | 18742.0 | 1.26888 | ||||||||
\(603\) | −12353.4 | − | 8163.91i | −0.834278 | − | 0.551343i | ||||
\(604\) | 3792.76 | 0.255505 | ||||||||
\(605\) | −7990.47 | + | 9221.50i | −0.536957 | + | 0.619681i | ||||
\(606\) | −6101.61 | − | 20149.4i | −0.409012 | − | 1.35068i | ||||
\(607\) | −3187.63 | − | 22170.5i | −0.213150 | − | 1.48249i | −0.762549 | − | 0.646931i | \(-0.776052\pi\) |
0.549399 | − | 0.835560i | \(-0.314857\pi\) | |||||||
\(608\) | −3578.33 | + | 1050.69i | −0.238685 | + | 0.0700842i | ||||
\(609\) | 30113.3 | + | 13446.3i | 2.00370 | + | 0.894696i | ||||
\(610\) | 15680.6 | + | 13587.3i | 1.04080 | + | 0.901859i | ||||
\(611\) | −10586.3 | − | 6803.43i | −0.700946 | − | 0.450470i | ||||
\(612\) | 1845.19 | + | 2767.32i | 0.121875 | + | 0.182782i | ||||
\(613\) | −5278.38 | + | 11558.0i | −0.347784 | + | 0.761541i | 0.652210 | + | 0.758039i | \(0.273842\pi\) |
−0.999994 | + | 0.00350269i | \(0.998885\pi\) | |||||||
\(614\) | 22715.9 | − | 6669.99i | 1.49306 | − | 0.438402i | ||||
\(615\) | 22421.4 | − | 10469.1i | 1.47011 | − | 0.686434i | ||||
\(616\) | −3450.01 | − | 5368.32i | −0.225657 | − | 0.351129i | ||||
\(617\) | −12918.3 | + | 1857.37i | −0.842905 | + | 0.121191i | −0.550222 | − | 0.835018i | \(-0.685457\pi\) |
−0.292682 | + | 0.956210i | \(0.594548\pi\) | |||||||
\(618\) | 4605.95 | + | 7035.71i | 0.299803 | + | 0.457957i | ||||
\(619\) | −14366.2 | + | 4218.29i | −0.932836 | + | 0.273905i | −0.712624 | − | 0.701547i | \(-0.752493\pi\) |
−0.220212 | + | 0.975452i | \(0.570675\pi\) | |||||||
\(620\) | −2265.94 | − | 325.792i | −0.146778 | − | 0.0211035i | ||||
\(621\) | 25230.6 | + | 6719.33i | 1.63038 | + | 0.434199i | ||||
\(622\) | −7378.54 | − | 8515.29i | −0.475647 | − | 0.548926i | ||||
\(623\) | −9379.07 | − | 20537.3i | −0.603154 | − | 1.32072i | ||||
\(624\) | −4584.84 | + | 10267.9i | −0.294135 | + | 0.658725i | ||||
\(625\) | −4749.20 | + | 10399.3i | −0.303949 | + | 0.665556i | ||||
\(626\) | 2562.77 | − | 1170.38i | 0.163624 | − | 0.0747246i | ||||
\(627\) | −1016.07 | + | 3571.69i | −0.0647179 | + | 0.227495i | ||||
\(628\) | −137.997 | + | 88.6853i | −0.00876860 | + | 0.00563524i | ||||
\(629\) | −13561.4 | − | 1949.84i | −0.859665 | − | 0.123601i | ||||
\(630\) | 13359.3 | − | 21580.0i | 0.844837 | − | 1.36471i | ||||
\(631\) | 12805.9 | − | 19926.4i | 0.807915 | − | 1.25714i | −0.155155 | − | 0.987890i | \(-0.549588\pi\) |
0.963070 | − | 0.269250i | \(-0.0867758\pi\) | |||||||
\(632\) | − | 15432.5i | − | 0.971313i | ||||||
\(633\) | 9100.53 | + | 1230.15i | 0.571428 | + | 0.0772415i | ||||
\(634\) | −8512.11 | + | 13245.1i | −0.533216 | + | 0.829701i | ||||
\(635\) | 10241.8 | − | 22426.3i | 0.640051 | − | 1.40152i | ||||
\(636\) | −458.166 | − | 699.860i | −0.0285652 | − | 0.0436340i | ||||
\(637\) | −14789.7 | + | 12815.3i | −0.919920 | + | 0.797115i | ||||
\(638\) | 5408.20 | + | 2469.84i | 0.335600 | + | 0.153263i | ||||
\(639\) | −10278.7 | + | 9214.86i | −0.636334 | + | 0.570476i | ||||
\(640\) | −16568.2 | −1.02330 | ||||||||
\(641\) | 21308.3 | 1.31299 | 0.656495 | − | 0.754331i | \(-0.272038\pi\) | ||||
0.656495 | + | 0.754331i | \(0.272038\pi\) | |||||||
\(642\) | 304.534 | − | 357.505i | 0.0187212 | − | 0.0219776i | ||||
\(643\) | −12534.5 | − | 3680.46i | −0.768759 | − | 0.225728i | −0.126242 | − | 0.991999i | \(-0.540292\pi\) |
−0.642517 | + | 0.766272i | \(0.722110\pi\) | |||||||
\(644\) | −946.044 | + | 6579.88i | −0.0578872 | + | 0.402614i | ||||
\(645\) | −4273.83 | − | 9153.11i | −0.260902 | − | 0.558765i | ||||
\(646\) | −23787.3 | − | 3420.10i | −1.44876 | − | 0.208300i | ||||
\(647\) | 2669.23 | + | 5844.81i | 0.162192 | + | 0.355151i | 0.973227 | − | 0.229847i | \(-0.0738225\pi\) |
−0.811035 | + | 0.584998i | \(0.801095\pi\) | |||||||
\(648\) | −12442.6 | + | 8603.39i | −0.754306 | + | 0.521563i | ||||
\(649\) | 152.817 | − | 520.447i | 0.00924282 | − | 0.0314782i | ||||
\(650\) | 2278.57 | − | 1040.59i | 0.137497 | − | 0.0627928i | ||||
\(651\) | 18327.0 | + | 27995.0i | 1.10337 | + | 1.68542i | ||||
\(652\) | −427.120 | − | 2970.69i | −0.0256554 | − | 0.178437i | ||||
\(653\) | 896.788 | − | 6237.30i | 0.0537428 | − | 0.373789i | −0.945146 | − | 0.326650i | \(-0.894080\pi\) |
0.998888 | − | 0.0471396i | \(-0.0150106\pi\) | |||||||
\(654\) | 1674.11 | + | 10984.7i | 0.100096 | + | 0.656780i | ||||
\(655\) | 12190.2 | − | 10562.9i | 0.727193 | − | 0.630116i | ||||
\(656\) | −4926.99 | − | 34268.0i | −0.293242 | − | 2.03954i | ||||
\(657\) | 1739.67 | − | 542.876i | 0.103304 | − | 0.0322369i | ||||
\(658\) | 33429.3 | − | 21483.7i | 1.98056 | − | 1.27283i | ||||
\(659\) | 6273.86 | + | 21366.8i | 0.370857 | + | 1.26302i | 0.907799 | + | 0.419405i | \(0.137761\pi\) |
−0.536942 | + | 0.843619i | \(0.680421\pi\) | |||||||
\(660\) | 303.076 | − | 480.464i | 0.0178745 | − | 0.0283364i | ||||
\(661\) | −24592.7 | − | 21309.7i | −1.44712 | − | 1.25393i | −0.912648 | − | 0.408747i | \(-0.865966\pi\) |
−0.534470 | − | 0.845187i | \(-0.679489\pi\) | |||||||
\(662\) | 15561.5 | − | 24214.2i | 0.913618 | − | 1.42162i | ||||
\(663\) | −12765.9 | + | 11251.8i | −0.747792 | + | 0.659098i | ||||
\(664\) | 3328.44 | − | 11335.6i | 0.194531 | − | 0.662510i | ||||
\(665\) | 6414.21 | + | 21844.8i | 0.374034 | + | 1.27384i | ||||
\(666\) | −1292.48 | + | 10210.2i | −0.0751990 | + | 0.594049i | ||||
\(667\) | 15578.0 | + | 34111.0i | 0.904319 | + | 1.98018i | ||||
\(668\) | 2497.73 | + | 2164.30i | 0.144671 | + | 0.125358i | ||||
\(669\) | −3728.74 | − | 504.024i | −0.215488 | − | 0.0291281i | ||||
\(670\) | −16359.4 | − | 485.320i | −0.943314 | − | 0.0279844i | ||||
\(671\) | − | 6787.75i | − | 0.390519i | ||||||
\(672\) | −5513.79 | − | 6255.77i | −0.316517 | − | 0.359110i | ||||
\(673\) | −21253.0 | + | 9705.92i | −1.21730 | + | 0.555923i | −0.917369 | − | 0.398038i | \(-0.869691\pi\) |
−0.299932 | + | 0.953961i | \(0.596964\pi\) | |||||||
\(674\) | −25345.9 | + | 3644.18i | −1.44850 | + | 0.208262i | ||||
\(675\) | 3830.64 | + | 452.090i | 0.218432 | + | 0.0257792i | ||||
\(676\) | −1401.62 | − | 411.554i | −0.0797465 | − | 0.0234157i | ||||
\(677\) | −7879.12 | + | 9092.99i | −0.447296 | + | 0.516207i | −0.933958 | − | 0.357383i | \(-0.883669\pi\) |
0.486662 | + | 0.873590i | \(0.338214\pi\) | |||||||
\(678\) | −114.833 | − | 97.8189i | −0.00650465 | − | 0.00554087i | ||||
\(679\) | 17811.7 | − | 20555.8i | 1.00670 | − | 1.16180i | ||||
\(680\) | −20247.6 | − | 9246.78i | −1.14185 | − | 0.521467i | ||||
\(681\) | 2956.47 | + | 19398.8i | 0.166361 | + | 1.09158i | ||||
\(682\) | 3261.29 | + | 5074.67i | 0.183111 | + | 0.284926i | ||||
\(683\) | 1827.51 | − | 1174.47i | 0.102383 | − | 0.0657976i | −0.488447 | − | 0.872593i | \(-0.662437\pi\) |
0.590830 | + | 0.806796i | \(0.298800\pi\) | |||||||
\(684\) | −281.459 | + | 2223.44i | −0.0157337 | + | 0.124291i | ||||
\(685\) | 12516.4 | + | 14444.7i | 0.698144 | + | 0.805701i | ||||
\(686\) | −8210.81 | − | 27963.5i | −0.456983 | − | 1.55634i | ||||
\(687\) | 19501.7 | + | 5547.85i | 1.08302 | + | 0.308098i | ||||
\(688\) | −13989.2 | + | 2011.35i | −0.775196 | + | 0.111456i | ||||
\(689\) | 3234.33 | − | 2802.56i | 0.178836 | − | 0.154962i | ||||
\(690\) | 27621.0 | − | 8364.13i | 1.52393 | − | 0.461474i | ||||
\(691\) | 9940.69 | + | 2918.85i | 0.547267 | + | 0.160692i | 0.543666 | − | 0.839301i | \(-0.317036\pi\) |
0.00360079 | + | 0.999994i | \(0.498854\pi\) | |||||||
\(692\) | 787.562 | + | 359.668i | 0.0432639 | + | 0.0197580i | ||||
\(693\) | −8197.48 | + | 1320.23i | −0.449345 | + | 0.0723685i | ||||
\(694\) | 1099.41 | − | 7646.57i | 0.0601341 | − | 0.418242i | ||||
\(695\) | −10685.4 | − | 16626.8i | −0.583195 | − | 0.907469i | ||||
\(696\) | −20897.1 | − | 5944.80i | −1.13808 | − | 0.323760i | ||||
\(697\) | 14760.0 | − | 50267.8i | 0.802114 | − | 2.73175i | ||||
\(698\) | 9232.86 | + | 5933.60i | 0.500672 | + | 0.321762i | ||||
\(699\) | −1376.08 | − | 186.009i | −0.0744611 | − | 0.0100651i | ||||
\(700\) | 982.040i | 0.0530252i | ||||||||
\(701\) | 11646.5 | + | 7484.74i | 0.627506 | + | 0.403274i | 0.815385 | − | 0.578919i | \(-0.196525\pi\) |
−0.187880 | + | 0.982192i | \(0.560161\pi\) | |||||||
\(702\) | 8612.65 | + | 9445.28i | 0.463053 | + | 0.507819i | ||||
\(703\) | −6045.64 | − | 6977.04i | −0.324346 | − | 0.374316i | ||||
\(704\) | 2687.23 | + | 3101.23i | 0.143862 | + | 0.166025i | ||||
\(705\) | −18115.1 | − | 11427.0i | −0.967737 | − | 0.610446i | ||||
\(706\) | 15932.4 | + | 10239.1i | 0.849327 | + | 0.545829i | ||||
\(707\) | 42226.9i | 2.24626i | ||||||||
\(708\) | 43.8528 | − | 324.420i | 0.00232781 | − | 0.0172210i | ||||
\(709\) | −10524.4 | − | 6763.61i | −0.557477 | − | 0.358269i | 0.231363 | − | 0.972868i | \(-0.425682\pi\) |
−0.788840 | + | 0.614599i | \(0.789318\pi\) | |||||||
\(710\) | −4298.74 | + | 14640.2i | −0.227224 | + | 0.773854i | ||||
\(711\) | −18403.6 | − | 8032.01i | −0.970732 | − | 0.423662i | ||||
\(712\) | 8041.42 | + | 12512.7i | 0.423266 | + | 0.658614i | ||||
\(713\) | −5414.68 | + | 37659.9i | −0.284406 | + | 1.97809i | ||||
\(714\) | −15573.6 | − | 51428.7i | −0.816283 | − | 2.69562i | ||||
\(715\) | 2643.68 | + | 1207.33i | 0.138277 | + | 0.0631491i | ||||
\(716\) | −2.89738 | − | 0.850747i | −0.000151229 | − | 4.44049e-5i | ||||
\(717\) | −4592.31 | − | 15165.2i | −0.239195 | − | 0.789897i | ||||
\(718\) | 7890.87 | − | 6837.48i | 0.410146 | − | 0.355393i | ||||
\(719\) | −31733.9 | + | 4562.64i | −1.64600 | + | 0.236659i | −0.902067 | − | 0.431597i | \(-0.857950\pi\) |
−0.743932 | + | 0.668255i | \(0.767041\pi\) | |||||||
\(720\) | −7655.62 | + | 17541.2i | −0.396261 | + | 0.907949i | ||||
\(721\) | −4751.95 | − | 16183.6i | −0.245453 | − | 0.835937i | ||||
\(722\) | 2970.70 | + | 3428.38i | 0.153128 | + | 0.176719i | ||||
\(723\) | 1.05825 | + | 125.365i | 5.44353e−5 | + | 0.00644865i | ||||
\(724\) | 1577.55 | − | 1013.83i | 0.0809796 | − | 0.0520424i | ||||
\(725\) | 2995.06 | + | 4660.40i | 0.153426 | + | 0.238735i | ||||
\(726\) | 19183.7 | − | 2923.69i | 0.980681 | − | 0.149460i | ||||
\(727\) | 21676.2 | + | 9899.18i | 1.10581 | + | 0.505007i | 0.882772 | − | 0.469802i | \(-0.155675\pi\) |
0.223040 | + | 0.974809i | \(0.428402\pi\) | |||||||
\(728\) | 12903.6 | − | 14891.5i | 0.656920 | − | 0.758126i | ||||
\(729\) | 3783.91 | + | 19315.9i | 0.192242 | + | 0.981347i | ||||
\(730\) | 1319.10 | − | 1522.32i | 0.0668795 | − | 0.0771830i | ||||
\(731\) | −20520.9 | − | 6025.47i | −1.03829 | − | 0.304870i | ||||
\(732\) | −617.225 | − | 4049.91i | −0.0311657 | − | 0.204493i | ||||
\(733\) | −22523.9 | + | 3238.45i | −1.13498 | + | 0.163186i | −0.684093 | − | 0.729395i | \(-0.739802\pi\) |
−0.450888 | + | 0.892581i | \(0.648893\pi\) | |||||||
\(734\) | −18628.0 | + | 8507.12i | −0.936746 | + | 0.427797i | ||||
\(735\) | −24987.1 | + | 22023.5i | −1.25396 | + | 1.10524i | ||||
\(736\) | − | 9481.95i | − | 0.474877i | ||||||
\(737\) | 3384.78 | + | 4148.69i | 0.169172 | + | 0.207353i | ||||
\(738\) | −37941.4 | − | 10448.2i | −1.89247 | − | 0.521143i | ||||
\(739\) | −16472.4 | − | 14273.4i | −0.819957 | − | 0.710497i | 0.140150 | − | 0.990130i | \(-0.455242\pi\) |
−0.960107 | + | 0.279634i | \(0.909787\pi\) | |||||||
\(740\) | 586.682 | + | 1284.65i | 0.0291444 | + | 0.0638174i | ||||
\(741\) | −11465.8 | + | 96.7871i | −0.568432 | + | 0.00479833i | ||||
\(742\) | 3807.36 | + | 12966.7i | 0.188373 | + | 0.641538i | ||||
\(743\) | 1430.09 | − | 4870.45i | 0.0706125 | − | 0.240484i | −0.916623 | − | 0.399754i | \(-0.869096\pi\) |
0.987235 | + | 0.159270i | \(0.0509139\pi\) | |||||||
\(744\) | −14575.4 | − | 16536.8i | −0.718228 | − | 0.814879i | ||||
\(745\) | 2682.79 | − | 4174.51i | 0.131933 | − | 0.205291i | ||||
\(746\) | −19484.7 | − | 16883.6i | −0.956280 | − | 0.828621i | ||||
\(747\) | −11785.7 | − | 9869.01i | −0.577265 | − | 0.483385i | ||||
\(748\) | −338.840 | − | 1153.98i | −0.0165631 | − | 0.0564088i | ||||
\(749\) | −792.423 | + | 509.259i | −0.0386576 | + | 0.0248437i | ||||
\(750\) | 21426.6 | − | 10004.6i | 1.04318 | − | 0.487090i | ||||
\(751\) | 137.273 | + | 954.752i | 0.00666997 | + | 0.0463907i | 0.992885 | − | 0.119080i | \(-0.0379946\pi\) |
−0.986215 | + | 0.165471i | \(0.947086\pi\) | |||||||
\(752\) | −22646.4 | + | 19623.2i | −1.09818 | + | 0.951576i | ||||
\(753\) | 13551.9 | − | 2065.38i | 0.655857 | − | 0.0999556i | ||||
\(754\) | −2612.68 | + | 18171.6i | −0.126191 | + | 0.877679i | ||||
\(755\) | 4700.13 | + | 32690.1i | 0.226563 | + | 1.57578i | ||||
\(756\) | −4770.97 | + | 1533.13i | −0.229522 | + | 0.0737557i | ||||
\(757\) | −12259.3 | + | 5598.64i | −0.588603 | + | 0.268806i | −0.687373 | − | 0.726304i | \(-0.741236\pi\) |
0.0987706 | + | 0.995110i | \(0.468509\pi\) | |||||||
\(758\) | −5859.91 | + | 19957.0i | −0.280794 | + | 0.956295i | ||||
\(759\) | −7985.33 | − | 5037.12i | −0.381883 | − | 0.240891i | ||||
\(760\) | −6230.67 | − | 13643.3i | −0.297382 | − | 0.651176i | ||||
\(761\) | 5171.41 | + | 743.537i | 0.246338 | + | 0.0354181i | 0.264378 | − | 0.964419i | \(-0.414833\pi\) |
−0.0180395 | + | 0.999837i | \(0.505742\pi\) | |||||||
\(762\) | −35527.2 | + | 16588.6i | −1.68900 | + | 0.788636i | ||||
\(763\) | 3171.75 | − | 22060.0i | 0.150491 | − | 1.04669i | ||||
\(764\) | 971.621 | + | 285.294i | 0.0460105 | + | 0.0135099i | ||||
\(765\) | −21565.2 | + | 19333.3i | −1.01920 | + | 0.913720i | ||||
\(766\) | 11948.3 | 0.563587 | ||||||||
\(767\) | 1674.88 | 0.0788480 | ||||||||
\(768\) | 6758.00 | + | 5756.69i | 0.317524 | + | 0.270477i | ||||
\(769\) | −30652.1 | − | 13998.3i | −1.43737 | − | 0.656427i | −0.464040 | − | 0.885814i | \(-0.653601\pi\) |
−0.973335 | + | 0.229387i | \(0.926328\pi\) | |||||||
\(770\) | −6935.89 | + | 6009.98i | −0.324613 | + | 0.281279i | ||||
\(771\) | 13624.1 | − | 8919.06i | 0.636394 | − | 0.416617i | ||||
\(772\) | 1228.77 | − | 2690.63i | 0.0572855 | − | 0.125438i | ||||
\(773\) | 4419.37 | − | 6876.67i | 0.205632 | − | 0.319970i | −0.723085 | − | 0.690759i | \(-0.757276\pi\) |
0.928717 | + | 0.370789i | \(0.120913\pi\) | |||||||
\(774\) | −4265.28 | + | 15488.8i | −0.198078 | + | 0.719296i | ||||
\(775\) | 5620.71i | 0.260518i | ||||||||
\(776\) | −9687.51 | + | 15074.1i | −0.448146 | + | 0.697329i | ||||
\(777\) | 8416.39 | − | 18848.8i | 0.388592 | − | 0.870265i | ||||
\(778\) | 28599.2 | + | 4111.95i | 1.31791 | + | 0.189486i | ||||
\(779\) | 29697.5 | − | 19085.4i | 1.36588 | − | 0.877800i | ||||
\(780\) | 1687.14 | + | 479.957i | 0.0774477 | + | 0.0220323i | ||||
\(781\) | 4540.59 | − | 2073.62i | 0.208034 | − | 0.0950062i | ||||
\(782\) | 25382.3 | − | 55579.4i | 1.16070 | − | 2.54158i | ||||
\(783\) | −17965.5 | + | 21826.3i | −0.819967 | + | 0.996180i | ||||
\(784\) | 19358.2 | + | 42388.6i | 0.881843 | + | 1.93097i | ||||
\(785\) | −935.398 | − | 1079.51i | −0.0425297 | − | 0.0490819i | ||||
\(786\) | −25651.5 | + | 216.534i | −1.16407 | + | 0.00982633i | ||||
\(787\) | 28227.7 | + | 4058.53i | 1.27854 | + | 0.183826i | 0.747922 | − | 0.663787i | \(-0.231052\pi\) |
0.530615 | + | 0.847613i | \(0.321961\pi\) | |||||||
\(788\) | −348.367 | + | 102.290i | −0.0157488 | + | 0.00462426i | ||||
\(789\) | 9364.70 | − | 6130.64i | 0.422550 | − | 0.276624i | ||||
\(790\) | −21968.7 | + | 3158.63i | −0.989382 | + | 0.142252i | ||||
\(791\) | 163.578 | + | 254.533i | 0.00735293 | + | 0.0114414i | ||||
\(792\) | 5221.66 | − | 1629.46i | 0.234272 | − | 0.0731064i | ||||
\(793\) | 20110.2 | − | 5904.89i | 0.900549 | − | 0.264425i | ||||
\(794\) | 5647.64 | − | 12366.6i | 0.252427 | − | 0.552739i | ||||
\(795\) | 5464.38 | − | 4816.27i | 0.243776 | − | 0.214862i | ||||
\(796\) | −794.725 | − | 510.739i | −0.0353873 | − | 0.0227420i | ||||
\(797\) | −30256.6 | − | 26217.5i | −1.34472 | − | 1.16521i | −0.971385 | − | 0.237510i | \(-0.923669\pi\) |
−0.373335 | − | 0.927696i | \(-0.621786\pi\) | |||||||
\(798\) | 14762.7 | − | 33061.5i | 0.654880 | − | 1.46662i | ||||
\(799\) | −43509.1 | + | 12775.4i | −1.92646 | + | 0.565659i | ||||
\(800\) | −199.350 | − | 1386.51i | −0.00881010 | − | 0.0612756i | ||||
\(801\) | 19107.0 | − | 3077.25i | 0.842838 | − | 0.135742i | ||||
\(802\) | 10182.3 | − | 11751.0i | 0.448317 | − | 0.517385i | ||||
\(803\) | −658.976 | −0.0289599 | ||||||||
\(804\) | 2396.77 | + | 2167.53i | 0.105134 | + | 0.0950781i | ||||
\(805\) | −57885.0 | −2.53438 | ||||||||
\(806\) | −12197.7 | + | 14076.9i | −0.533061 | + | 0.615185i | ||||
\(807\) | 4976.41 | − | 1506.95i | 0.217073 | − | 0.0657337i | ||||
\(808\) | −3959.01 | − | 27535.5i | −0.172373 | − | 1.19888i | ||||
\(809\) | 4216.33 | − | 1238.03i | 0.183236 | − | 0.0538030i | −0.188827 | − | 0.982010i | \(-0.560469\pi\) |
0.372063 | + | 0.928207i | \(0.378650\pi\) | |||||||
\(810\) | 14793.9 | + | 15951.6i | 0.641736 | + | 0.691953i | ||||
\(811\) | 21500.7 | + | 18630.5i | 0.930941 | + | 0.806665i | 0.981383 | − | 0.192062i | \(-0.0615175\pi\) |
−0.0504419 | + | 0.998727i | \(0.516063\pi\) | |||||||
\(812\) | −6054.73 | − | 3891.14i | −0.261674 | − | 0.168168i | ||||
\(813\) | 22982.6 | + | 26075.3i | 0.991433 | + | 1.12485i | ||||
\(814\) | 1545.94 | − | 3385.14i | 0.0665666 | − | 0.145761i | ||||
\(815\) | 25075.3 | − | 7362.78i | 1.07773 | − | 0.316450i | ||||
\(816\) | 17143.5 | + | 36715.7i | 0.735469 | + | 1.57513i | ||||
\(817\) | −7791.25 | − | 12123.4i | −0.333637 | − | 0.519149i | ||||
\(818\) | 20086.8 | − | 2888.05i | 0.858581 | − | 0.123445i | ||||
\(819\) | −11042.7 | − | 23138.3i | −0.471141 | − | 0.987202i | ||||
\(820\) | −5181.58 | + | 1521.45i | −0.220669 | + | 0.0647943i | ||||
\(821\) | −15285.1 | − | 2197.67i | −0.649762 | − | 0.0934217i | −0.190450 | − | 0.981697i | \(-0.560995\pi\) |
−0.459312 | + | 0.888275i | \(0.651904\pi\) | |||||||
\(822\) | −256.580 | − | 30395.7i | −0.0108872 | − | 1.28975i | ||||
\(823\) | −7887.57 | − | 9102.74i | −0.334074 | − | 0.385542i | 0.563714 | − | 0.825970i | \(-0.309372\pi\) |
−0.897788 | + | 0.440428i | \(0.854827\pi\) | |||||||
\(824\) | 4615.97 | + | 10107.6i | 0.195152 | + | 0.427322i | ||||
\(825\) | −1273.56 | − | 568.675i | −0.0537452 | − | 0.0239984i | ||||
\(826\) | −2197.08 | + | 4810.94i | −0.0925500 | + | 0.202656i | ||||
\(827\) | −38915.2 | + | 17772.0i | −1.63629 | + | 0.747270i | −0.999713 | − | 0.0239408i | \(-0.992379\pi\) |
−0.636580 | + | 0.771211i | \(0.719651\pi\) | |||||||
\(828\) | −5222.47 | − | 2279.27i | −0.219195 | − | 0.0956645i | ||||
\(829\) | 2111.31 | − | 1356.86i | 0.0884547 | − | 0.0568464i | −0.495666 | − | 0.868513i | \(-0.665076\pi\) |
0.584120 | + | 0.811667i | \(0.301440\pi\) | |||||||
\(830\) | −16817.9 | − | 2418.06i | −0.703325 | − | 0.101123i | ||||
\(831\) | 9998.56 | + | 4464.58i | 0.417384 | + | 0.186371i | ||||
\(832\) | −6850.36 | + | 10659.4i | −0.285449 | + | 0.444167i | ||||
\(833\) | 70518.0i | 2.93314i | ||||||||
\(834\) | −4210.51 | + | 31149.1i | −0.174818 | + | 1.29329i | ||||
\(835\) | −15559.0 | + | 24210.3i | −0.644840 | + | 1.00339i | ||||
\(836\) | 336.655 | − | 737.171i | 0.0139276 | − | 0.0304971i | ||||
\(837\) | −27306.6 | + | 8774.85i | −1.12766 | + | 0.362370i | ||||
\(838\) | −3902.50 | + | 3381.53i | −0.160871 | + | 0.139395i | ||||
\(839\) | 39699.2 | + | 18130.0i | 1.63357 | + | 0.746027i | 0.999626 | − | 0.0273496i | \(-0.00870672\pi\) |
0.633946 | + | 0.773377i | \(0.281434\pi\) | |||||||
\(840\) | 21747.2 | − | 25529.9i | 0.893273 | − | 1.04865i | ||||
\(841\) | −16211.9 | −0.664720 | ||||||||
\(842\) | −340.792 | −0.0139483 | ||||||||
\(843\) | −3440.59 | − | 2930.81i | −0.140570 | − | 0.119742i | ||||
\(844\) | −1922.96 | − | 564.632i | −0.0784254 | − | 0.0230278i | ||||
\(845\) | 1810.28 | − | 12590.8i | 0.0736987 | − | 0.512586i | ||||
\(846\) | 10146.9 | + | 32516.0i | 0.412359 | + | 1.32142i | ||||
\(847\) | −38525.8 | − | 5539.17i | −1.56288 | − | 0.224709i | ||||
\(848\) | −4233.41 | − | 9269.87i | −0.171434 | − | 0.375388i | ||||
\(849\) | 20011.7 | − | 31724.4i | 0.808950 | − | 1.28242i | ||||
\(850\) | 2543.04 | − | 8660.80i | 0.102618 | − | 0.349486i | ||||
\(851\) | 21351.0 | − | 9750.68i | 0.860051 | − | 0.392772i | ||||
\(852\) | 2520.58 | − | 1650.11i | 0.101354 | − | 0.0663518i | ||||
\(853\) | 2894.94 | + | 20134.7i | 0.116202 | + | 0.808206i | 0.961676 | + | 0.274189i | \(0.0884093\pi\) |
−0.845473 | + | 0.534017i | \(0.820682\pi\) | |||||||
\(854\) | −9419.02 | + | 65510.7i | −0.377415 | + | 2.62498i | ||||
\(855\) | −19512.8 | + | 329.453i | −0.780497 | + | 0.0131778i | ||||
\(856\) | 468.980 | − | 406.374i | 0.0187259 | − | 0.0162261i | ||||
\(857\) | −5921.38 | − | 41184.1i | −0.236022 | − | 1.64157i | −0.671239 | − | 0.741241i | \(-0.734237\pi\) |
0.435217 | − | 0.900326i | \(-0.356672\pi\) | |||||||
\(858\) | −1955.51 | − | 4188.05i | −0.0778089 | − | 0.166641i | ||||
\(859\) | 12913.2 | − | 8298.80i | 0.512913 | − | 0.329629i | −0.258450 | − | 0.966025i | \(-0.583212\pi\) |
0.771363 | + | 0.636395i | \(0.219575\pi\) | |||||||
\(860\) | 621.102 | + | 2115.28i | 0.0246272 | + | 0.0838726i | ||||
\(861\) | 66761.0 | + | 42112.7i | 2.64252 | + | 1.66689i | ||||
\(862\) | −12225.8 | − | 10593.7i | −0.483077 | − | 0.418589i | ||||
\(863\) | −5460.46 | + | 8496.64i | −0.215384 | + | 0.335144i | −0.932087 | − | 0.362235i | \(-0.882014\pi\) |
0.716703 | + | 0.697378i | \(0.245650\pi\) | |||||||
\(864\) | 6424.75 | − | 3133.06i | 0.252979 | − | 0.123367i | ||||
\(865\) | −2124.03 | + | 7233.79i | −0.0834905 | + | 0.284342i | ||||
\(866\) | −2823.09 | − | 9614.56i | −0.110777 | − | 0.377270i | ||||
\(867\) | 302.108 | + | 35789.1i | 0.0118341 | + | 1.40192i | ||||
\(868\) | −3033.50 | − | 6642.44i | −0.118622 | − | 0.259746i | ||||
\(869\) | 5487.41 | + | 4754.87i | 0.214209 | + | 0.185613i | ||||
\(870\) | −4185.57 | + | 30964.6i | −0.163108 | + | 1.20666i | ||||
\(871\) | −9346.88 | + | 13637.2i | −0.363613 | + | 0.530517i | ||||
\(872\) | 14682.3i | 0.570191i | ||||||||
\(873\) | 12934.3 | + | 19398.1i | 0.501442 | + | 0.752035i | ||||
\(874\) | 37450.6 | − | 17103.1i | 1.44941 | − | 0.661923i | ||||
\(875\) | −46947.6 | + | 6750.04i | −1.81385 | + | 0.260792i | ||||
\(876\) | −393.178 | + | 59.9221i | −0.0151647 | + | 0.00231116i | ||||
\(877\) | 6654.19 | + | 1953.85i | 0.256210 | + | 0.0752300i | 0.407315 | − | 0.913288i | \(-0.366465\pi\) |
−0.151105 | + | 0.988518i | \(0.548283\pi\) | |||||||
\(878\) | −21219.9 | + | 24489.1i | −0.815646 | + | 0.941306i | ||||
\(879\) | −10192.1 | + | 11964.9i | −0.391092 | + | 0.459118i | ||||
\(880\) | 4532.05 | − | 5230.26i | 0.173608 | − | 0.200355i | ||||
\(881\) | 6281.01 | + | 2868.44i | 0.240196 | + | 0.109694i | 0.531876 | − | 0.846822i | \(-0.321487\pi\) |
−0.291680 | + | 0.956516i | \(0.594214\pi\) | |||||||
\(882\) | 52963.4 | − | 894.228i | 2.02196 | − | 0.0341386i | ||||
\(883\) | 8584.64 | + | 13358.0i | 0.327176 | + | 0.509096i | 0.965406 | − | 0.260750i | \(-0.0839697\pi\) |
−0.638231 | + | 0.769845i | \(0.720333\pi\) | |||||||
\(884\) | 3124.16 | − | 2007.78i | 0.118865 | − | 0.0763901i | ||||
\(885\) | 2850.55 | − | 24.0625i | 0.108272 | − | 0.000913958i | ||||
\(886\) | −21537.3 | − | 24855.4i | −0.816658 | − | 0.942474i | ||||
\(887\) | −7279.18 | − | 24790.6i | −0.275548 | − | 0.938430i | −0.974711 | − | 0.223468i | \(-0.928262\pi\) |
0.699163 | − | 0.714962i | \(-0.253556\pi\) | |||||||
\(888\) | −3721.01 | + | 13080.1i | −0.140618 | + | 0.494299i | ||||
\(889\) | 77843.2 | − | 11192.2i | 2.93676 | − | 0.422242i | ||||
\(890\) | 16166.5 | − | 14008.3i | 0.608878 | − | 0.527595i | ||||
\(891\) | 774.501 | − | 7075.05i | 0.0291209 | − | 0.266019i | ||||
\(892\) | 787.890 | + | 231.345i | 0.0295745 | + | 0.00868387i | ||||
\(893\) | −27793.8 | − | 12693.0i | −1.04153 | − | 0.475650i | ||||
\(894\) | −7553.04 | + | 2287.20i | −0.282563 | + | 0.0855654i | ||||
\(895\) | 3.74212 | − | 26.0271i | 0.000139760 | − | 0.000972054i | ||||
\(896\) | −28572.9 | − | 44460.3i | −1.06535 | − | 1.65772i | ||||
\(897\) | 7976.90 | − | 28040.3i | 0.296924 | − | 1.04374i | ||||
\(898\) | 14365.6 | − | 48924.6i | 0.533836 | − | 1.81808i | ||||
\(899\) | −34654.2 | − | 22270.9i | −1.28563 | − | 0.826226i | ||||
\(900\) | −811.582 | − | 223.491i | −0.0300586 | − | 0.00827746i | ||||
\(901\) | − | 15421.4i | − | 0.570214i | ||||||
\(902\) | 11971.2 | + | 7693.42i | 0.441904 | + | 0.283994i | ||||
\(903\) | 17191.7 | − | 27253.9i | 0.633558 | − | 1.00438i | ||||
\(904\) | −130.530 | − | 150.640i | −0.00480241 | − | 0.00554228i | ||||
\(905\) | 10693.3 | + | 12340.7i | 0.392769 | + | 0.453280i | ||||
\(906\) | 28022.5 | − | 44423.9i | 1.02758 | − | 1.62901i | ||||
\(907\) | 17192.3 | + | 11048.8i | 0.629394 | + | 0.404487i | 0.816085 | − | 0.577931i | \(-0.196140\pi\) |
−0.186691 | + | 0.982419i | \(0.559776\pi\) | |||||||
\(908\) | − | 4282.44i | − | 0.156517i | ||||||
\(909\) | −34897.4 | − | 9609.95i | −1.27335 | − | 0.350651i | ||||
\(910\) | −23839.7 | − | 15320.8i | −0.868437 | − | 0.558111i | ||||
\(911\) | −8199.98 | + | 27926.6i | −0.298219 | + | 1.01564i | 0.664982 | + | 0.746859i | \(0.268439\pi\) |
−0.963201 | + | 0.268781i | \(0.913379\pi\) | |||||||
\(912\) | −7470.96 | + | 26261.8i | −0.271259 | + | 0.953526i | ||||
\(913\) | 3005.15 | + | 4676.11i | 0.108933 | + | 0.169503i | ||||
\(914\) | 5510.19 | − | 38324.2i | 0.199410 | − | 1.38693i | ||||
\(915\) | 34141.6 | − | 10338.7i | 1.23354 | − | 0.373538i | ||||
\(916\) | −4025.01 | − | 1838.16i | −0.145186 | − | 0.0663041i | ||||
\(917\) | 49368.1 | + | 14495.8i | 1.77784 | + | 0.522021i | ||||
\(918\) | 46046.2 | − | 1166.30i | 1.65550 | − | 0.0419320i | ||||
\(919\) | −12320.1 | + | 10675.4i | −0.442223 | + | 0.383188i | −0.847318 | − | 0.531086i | \(-0.821784\pi\) |
0.405095 | + | 0.914275i | \(0.367238\pi\) | |||||||
\(920\) | 37745.8 | − | 5427.03i | 1.35266 | − | 0.194483i | ||||
\(921\) | 11137.6 | − | 39150.8i | 0.398477 | − | 1.40072i | ||||
\(922\) | −14742.9 | − | 50209.7i | −0.526607 | − | 1.79346i | ||||
\(923\) | 10093.6 | + | 11648.6i | 0.359950 | + | 0.415404i | ||||
\(924\) | 1811.99 | − | 15.2956i | 0.0645130 | − | 0.000544577i | ||||
\(925\) | 2917.08 | − | 1874.69i | 0.103690 | − | 0.0666372i | ||||
\(926\) | 11909.9 | + | 18532.2i | 0.422662 | + | 0.657675i | ||||
\(927\) | 14456.0 | − | 244.074i | 0.512187 | − | 0.00864772i | ||||
\(928\) | 9338.35 | + | 4264.68i | 0.330330 | + | 0.150857i | ||||
\(929\) | 18540.5 | − | 21396.8i | 0.654782 | − | 0.755659i | −0.327133 | − | 0.944978i | \(-0.606083\pi\) |
0.981916 | + | 0.189319i | \(0.0606280\pi\) | |||||||
\(930\) | −20557.6 | + | 24133.4i | −0.724851 | + | 0.850931i | ||||
\(931\) | −31116.7 | + | 35910.6i | −1.09539 | + | 1.26415i | ||||
\(932\) | 290.770 | + | 85.3777i | 0.0102194 | + | 0.00300069i | ||||
\(933\) | −19150.8 | + | 2918.67i | −0.671993 | + | 0.102415i | ||||
\(934\) | 18716.8 | − | 2691.07i | 0.655710 | − | 0.0942768i | ||||
\(935\) | 9526.39 | − | 4350.56i | 0.333205 | − | 0.152169i | ||||
\(936\) | 9370.13 | + | 14052.8i | 0.327214 | + | 0.490738i | ||||
\(937\) | 29155.9i | 1.01652i | 0.861203 | + | 0.508261i | \(0.169712\pi\) | ||||
−0.861203 | + | 0.508261i | \(0.830288\pi\) | |||||||
\(938\) | −26910.6 | − | 44737.2i | −0.936740 | − | 1.55727i | ||||
\(939\) | 648.862 | − | 4800.24i | 0.0225504 | − | 0.166826i | ||||
\(940\) | 3532.55 | + | 3060.97i | 0.122573 | + | 0.106211i | ||||
\(941\) | −2938.46 | − | 6434.34i | −0.101797 | − | 0.222905i | 0.851880 | − | 0.523738i | \(-0.175463\pi\) |
−0.953677 | + | 0.300833i | \(0.902735\pi\) | |||||||
\(942\) | 19.1752 | + | 2271.58i | 0.000663228 | + | 0.0785690i | ||||
\(943\) | 25286.5 | + | 86118.0i | 0.873216 | + | 2.97390i | ||||
\(944\) | 1123.63 | − | 3826.73i | 0.0387405 | − | 0.131938i | ||||
\(945\) | −19126.5 | − | 39221.5i | −0.658398 | − | 1.35013i | ||||
\(946\) | 3140.69 | − | 4887.01i | 0.107942 | − | 0.167960i | ||||
\(947\) | 14441.2 | + | 12513.3i | 0.495538 | + | 0.429386i | 0.866437 | − | 0.499287i | \(-0.166405\pi\) |
−0.370898 | + | 0.928673i | \(0.620950\pi\) | |||||||
\(948\) | 3706.43 | + | 2338.01i | 0.126982 | + | 0.0801001i | ||||
\(949\) | −573.266 | − | 1952.36i | −0.0196091 | − | 0.0667823i | ||||
\(950\) | 5116.67 | − | 3288.29i | 0.174744 | − | 0.112301i | ||||
\(951\) | 11452.5 | + | 24527.5i | 0.390508 | + | 0.836338i | ||||
\(952\) | −10104.8 | − | 70280.7i | −0.344012 | − | 2.39266i | ||||
\(953\) | −12281.2 | + | 10641.8i | −0.417448 | + | 0.361721i | −0.838114 | − | 0.545494i | \(-0.816342\pi\) |
0.420666 | + | 0.907216i | \(0.361796\pi\) | |||||||
\(954\) | −11582.4 | + | 195.557i | −0.393077 | + | 0.00663668i | ||||
\(955\) | −1254.90 | + | 8728.04i | −0.0425212 | + | 0.295741i | ||||
\(956\) | 492.131 | + | 3422.85i | 0.0166492 | + | 0.115798i | ||||
\(957\) | 8552.39 | − | 5598.85i | 0.288881 | − | 0.189117i | ||||
\(958\) | −462.176 | + | 211.069i | −0.0155869 | + | 0.00711828i | ||||
\(959\) | −17176.7 | + | 58498.5i | −0.578378 | + | 1.96978i | ||||
\(960\) | −11505.8 | + | 18240.1i | −0.386821 | + | 0.613225i | ||||
\(961\) | −4986.62 | − | 10919.2i | −0.167387 | − | 0.366526i | ||||
\(962\) | 11374.1 | + | 1635.35i | 0.381201 | + | 0.0548085i | ||||
\(963\) | −240.526 | − | 770.775i | −0.00804864 | − | 0.0257922i | ||||
\(964\) | 3.89378 | − | 27.0819i | 0.000130094 | − | 0.000904822i | ||||
\(965\) | 24713.6 | + | 7256.55i | 0.824412 | + | 0.242069i | ||||
\(966\) | 70079.1 | + | 59695.7i | 2.33412 | + | 1.98828i | ||||
\(967\) | −35738.5 | −1.18849 | −0.594246 | − | 0.804283i | \(-0.702549\pi\) | ||||
−0.594246 | + | 0.804283i | \(0.702549\pi\) | |||||||
\(968\) | 25641.4 | 0.851389 | ||||||||
\(969\) | −26793.0 | + | 31453.4i | −0.888252 | + | 1.04275i | ||||
\(970\) | 23441.3 | + | 10705.3i | 0.775934 | + | 0.354357i | ||||
\(971\) | 16276.5 | − | 14103.7i | 0.537938 | − | 0.466126i | −0.343015 | − | 0.939330i | \(-0.611448\pi\) |
0.880953 | + | 0.473204i | \(0.156903\pi\) | |||||||
\(972\) | −181.244 | − | 4291.75i | −0.00598087 | − | 0.141623i | ||||
\(973\) | 26190.0 | − | 57348.1i | 0.862911 | − | 1.88951i | ||||
\(974\) | −18886.9 | + | 29388.6i | −0.621329 | + | 0.966808i | ||||
\(975\) | 576.908 | − | 4267.93i | 0.0189496 | − | 0.140188i | ||||
\(976\) | − | 49908.8i | − | 1.63683i | ||||||
\(977\) | 12034.0 | − | 18725.3i | 0.394067 | − | 0.613180i | −0.586363 | − | 0.810048i | \(-0.699441\pi\) |
0.980430 | + | 0.196869i | \(0.0630772\pi\) | |||||||
\(978\) | −37950.8 | − | 16945.9i | −1.24083 | − | 0.554059i | ||||
\(979\) | −6926.84 | − | 995.930i | −0.226132 | − | 0.0325128i | ||||
\(980\) | 6115.04 | − | 3929.90i | 0.199324 | − | 0.128098i | ||||
\(981\) | 17509.1 | + | 7641.60i | 0.569850 | + | 0.248703i | ||||
\(982\) | −49628.2 | + | 22664.4i | −1.61273 | + | 0.736508i | ||||
\(983\) | 5610.25 | − | 12284.7i | 0.182034 | − | 0.398599i | −0.796513 | − | 0.604621i | \(-0.793325\pi\) |
0.978547 | + | 0.206022i | \(0.0660519\pi\) | |||||||
\(984\) | −47482.0 | − | 21201.8i | −1.53828 | − | 0.686877i | ||||
\(985\) | −1313.35 | − | 2875.84i | −0.0424842 | − | 0.0930274i | ||||
\(986\) | 43321.5 | + | 49995.7i | 1.39923 | + | 1.61480i | ||||
\(987\) | −576.697 | − | 68318.1i | −0.0185982 | − | 2.20323i | ||||
\(988\) | 2476.90 | + | 356.124i | 0.0797578 | + | 0.0114674i | ||||
\(989\) | 35156.0 | − | 10322.7i | 1.13033 | − | 0.331895i | ||||
\(990\) | −3388.34 | − | 7099.74i | −0.108776 | − | 0.227924i | ||||
\(991\) | −52860.0 | + | 7600.13i | −1.69440 | + | 0.243618i | −0.920796 | − | 0.390046i | \(-0.872459\pi\) |
−0.773608 | + | 0.633664i | \(0.781550\pi\) | |||||||
\(992\) | 5631.28 | + | 8762.45i | 0.180235 | + | 0.280452i | ||||
\(993\) | −20937.0 | − | 44840.1i | −0.669100 | − | 1.43299i | ||||
\(994\) | −46700.1 | + | 13712.4i | −1.49018 | + | 0.437556i | ||||
\(995\) | 3417.25 | − | 7482.74i | 0.108879 | − | 0.238411i | ||||
\(996\) | 2218.23 | + | 2516.73i | 0.0705696 | + | 0.0800659i | ||||
\(997\) | 7489.93 | + | 4813.49i | 0.237922 | + | 0.152903i | 0.654169 | − | 0.756348i | \(-0.273018\pi\) |
−0.416247 | + | 0.909252i | \(0.636655\pi\) | |||||||
\(998\) | −27151.9 | − | 23527.3i | −0.861202 | − | 0.746235i | ||||
\(999\) | 13661.7 | + | 11245.1i | 0.432670 | + | 0.356135i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 201.4.j.b.5.19 | ✓ | 640 | |
3.2 | odd | 2 | inner | 201.4.j.b.5.46 | yes | 640 | |
67.27 | odd | 22 | inner | 201.4.j.b.161.46 | yes | 640 | |
201.161 | even | 22 | inner | 201.4.j.b.161.19 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.4.j.b.5.19 | ✓ | 640 | 1.1 | even | 1 | trivial | |
201.4.j.b.5.46 | yes | 640 | 3.2 | odd | 2 | inner | |
201.4.j.b.161.19 | yes | 640 | 201.161 | even | 22 | inner | |
201.4.j.b.161.46 | yes | 640 | 67.27 | odd | 22 | inner |