Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,3,Mod(5,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.x (of order \(18\), degree \(6\), 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: | \(5.88557371018\) |
Analytic rank: | \(0\) |
Dimension: | \(420\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 5.9 | ||
Character | \(\chi\) | \(=\) | 216.5 |
Dual form | 216.3.x.a.173.9 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.86507 | + | 0.722171i | −0.932533 | + | 0.361086i | ||||
\(3\) | −1.09942 | − | 2.79129i | −0.366472 | − | 0.930429i | ||||
\(4\) | 2.95694 | − | 2.69379i | 0.739234 | − | 0.673448i | ||||
\(5\) | 6.30966 | − | 2.29653i | 1.26193 | − | 0.459305i | 0.377515 | − | 0.926004i | \(-0.376779\pi\) |
0.884417 | + | 0.466698i | \(0.154557\pi\) | |||||||
\(6\) | 4.06627 | + | 4.41197i | 0.677712 | + | 0.735328i | ||||
\(7\) | 1.48683 | + | 8.43221i | 0.212404 | + | 1.20460i | 0.885355 | + | 0.464915i | \(0.153915\pi\) |
−0.672952 | + | 0.739686i | \(0.734974\pi\) | |||||||
\(8\) | −3.56950 | + | 7.15952i | −0.446188 | + | 0.894939i | ||||
\(9\) | −6.58256 | + | 6.13758i | −0.731396 | + | 0.681953i | ||||
\(10\) | −10.1094 | + | 8.83983i | −1.01094 | + | 0.883983i | ||||
\(11\) | 14.8232 | + | 5.39522i | 1.34757 | + | 0.490474i | 0.912188 | − | 0.409773i | \(-0.134392\pi\) |
0.435379 | + | 0.900247i | \(0.356614\pi\) | |||||||
\(12\) | −10.7701 | − | 5.29206i | −0.897505 | − | 0.441005i | ||||
\(13\) | 5.15695 | − | 6.14581i | 0.396688 | − | 0.472755i | −0.530319 | − | 0.847798i | \(-0.677928\pi\) |
0.927007 | + | 0.375043i | \(0.122372\pi\) | |||||||
\(14\) | −8.86253 | − | 14.6529i | −0.633038 | − | 1.04663i | ||||
\(15\) | −13.3472 | − | 15.0872i | −0.889814 | − | 1.00581i | ||||
\(16\) | 1.48696 | − | 15.9308i | 0.0929348 | − | 0.995672i | ||||
\(17\) | 6.43164 | + | 3.71331i | 0.378332 | + | 0.218430i | 0.677092 | − | 0.735898i | \(-0.263240\pi\) |
−0.298760 | + | 0.954328i | \(0.596573\pi\) | |||||||
\(18\) | 7.84453 | − | 16.2007i | 0.435807 | − | 0.900040i | ||||
\(19\) | −20.0523 | + | 11.5772i | −1.05538 | + | 0.609327i | −0.924152 | − | 0.382025i | \(-0.875227\pi\) |
−0.131233 | + | 0.991352i | \(0.541894\pi\) | |||||||
\(20\) | 12.4709 | − | 23.7876i | 0.623545 | − | 1.18938i | ||||
\(21\) | 21.9021 | − | 13.4207i | 1.04296 | − | 0.639080i | ||||
\(22\) | −31.5426 | + | 0.642483i | −1.43375 | + | 0.0292038i | ||||
\(23\) | 22.7177 | + | 4.00574i | 0.987725 | + | 0.174163i | 0.644097 | − | 0.764944i | \(-0.277233\pi\) |
0.343627 | + | 0.939106i | \(0.388344\pi\) | |||||||
\(24\) | 23.9086 | + | 2.09221i | 0.996193 | + | 0.0871754i | ||||
\(25\) | 15.3866 | − | 12.9109i | 0.615465 | − | 0.516436i | ||||
\(26\) | −5.17972 | + | 15.1865i | −0.199220 | + | 0.584098i | ||||
\(27\) | 24.3687 | + | 11.6261i | 0.902545 | + | 0.430595i | ||||
\(28\) | 27.1111 | + | 20.9283i | 0.968253 | + | 0.747440i | ||||
\(29\) | 31.1660 | − | 26.1514i | 1.07469 | − | 0.901771i | 0.0792199 | − | 0.996857i | \(-0.474757\pi\) |
0.995469 | + | 0.0950861i | \(0.0303126\pi\) | |||||||
\(30\) | 35.7890 | + | 18.4997i | 1.19297 | + | 0.616656i | ||||
\(31\) | −2.50360 | + | 14.1986i | −0.0807612 | + | 0.458019i | 0.917430 | + | 0.397898i | \(0.130260\pi\) |
−0.998191 | + | 0.0601219i | \(0.980851\pi\) | |||||||
\(32\) | 8.73146 | + | 30.7857i | 0.272858 | + | 0.962054i | ||||
\(33\) | −1.23732 | − | 47.3075i | −0.0374945 | − | 1.43356i | ||||
\(34\) | −14.6771 | − | 2.28082i | −0.431679 | − | 0.0670830i | ||||
\(35\) | 28.7462 | + | 49.7898i | 0.821319 | + | 1.42257i | ||||
\(36\) | −2.93087 | + | 35.8805i | −0.0814131 | + | 0.996680i | ||||
\(37\) | −28.7830 | − | 16.6179i | −0.777918 | − | 0.449131i | 0.0577739 | − | 0.998330i | \(-0.481600\pi\) |
−0.835692 | + | 0.549199i | \(0.814933\pi\) | |||||||
\(38\) | 29.0381 | − | 36.0734i | 0.764162 | − | 0.949301i | ||||
\(39\) | −22.8244 | − | 7.63771i | −0.585240 | − | 0.195839i | ||||
\(40\) | −6.08031 | + | 53.3715i | −0.152008 | + | 1.33429i | ||||
\(41\) | 45.7312 | − | 54.5003i | 1.11539 | − | 1.32928i | 0.176803 | − | 0.984246i | \(-0.443424\pi\) |
0.938592 | − | 0.345029i | \(-0.112131\pi\) | |||||||
\(42\) | −31.1568 | + | 40.8475i | −0.741828 | + | 0.972559i | ||||
\(43\) | 11.8398 | − | 32.5297i | 0.275345 | − | 0.756504i | −0.722530 | − | 0.691340i | \(-0.757021\pi\) |
0.997875 | − | 0.0651638i | \(-0.0207570\pi\) | |||||||
\(44\) | 58.3650 | − | 23.9774i | 1.32648 | − | 0.544941i | ||||
\(45\) | −27.4386 | + | 53.8430i | −0.609747 | + | 1.19651i | ||||
\(46\) | −45.2628 | + | 8.93508i | −0.983973 | + | 0.194241i | ||||
\(47\) | −70.6731 | + | 12.4616i | −1.50368 | + | 0.265140i | −0.863997 | − | 0.503497i | \(-0.832047\pi\) |
−0.639686 | + | 0.768637i | \(0.720936\pi\) | |||||||
\(48\) | −46.1021 | + | 13.3640i | −0.960460 | + | 0.278417i | ||||
\(49\) | −22.8466 | + | 8.31547i | −0.466257 | + | 0.169703i | ||||
\(50\) | −19.3732 | + | 35.1915i | −0.387463 | + | 0.703829i | ||||
\(51\) | 3.29386 | − | 22.0350i | 0.0645855 | − | 0.432060i | ||||
\(52\) | −1.30677 | − | 32.0645i | −0.0251302 | − | 0.616626i | ||||
\(53\) | −74.3739 | −1.40328 | −0.701641 | − | 0.712531i | \(-0.747549\pi\) | ||||
−0.701641 | + | 0.712531i | \(0.747549\pi\) | |||||||
\(54\) | −53.8453 | − | 4.08499i | −0.997135 | − | 0.0756481i | ||||
\(55\) | 105.920 | 1.92581 | ||||||||
\(56\) | −65.6778 | − | 19.4538i | −1.17282 | − | 0.347390i | ||||
\(57\) | 54.3612 | + | 43.2436i | 0.953704 | + | 0.758659i | ||||
\(58\) | −39.2408 | + | 71.2812i | −0.676566 | + | 1.22899i | ||||
\(59\) | 91.3890 | − | 33.2629i | 1.54897 | − | 0.563778i | 0.580792 | − | 0.814052i | \(-0.302743\pi\) |
0.968175 | + | 0.250275i | \(0.0805209\pi\) | |||||||
\(60\) | −80.1087 | − | 8.65735i | −1.33515 | − | 0.144289i | ||||
\(61\) | 32.3319 | − | 5.70098i | 0.530030 | − | 0.0934586i | 0.0977726 | − | 0.995209i | \(-0.468828\pi\) |
0.432258 | + | 0.901750i | \(0.357717\pi\) | |||||||
\(62\) | −5.58445 | − | 28.2893i | −0.0900718 | − | 0.456280i | ||||
\(63\) | −61.5405 | − | 46.3801i | −0.976833 | − | 0.736191i | ||||
\(64\) | −38.5173 | − | 51.1118i | −0.601833 | − | 0.798622i | ||||
\(65\) | 18.4246 | − | 50.6211i | 0.283455 | − | 0.778785i | ||||
\(66\) | 36.4718 | + | 87.3380i | 0.552603 | + | 1.32330i | ||||
\(67\) | −25.3389 | + | 30.1977i | −0.378192 | + | 0.450712i | −0.921243 | − | 0.388988i | \(-0.872825\pi\) |
0.543051 | + | 0.839700i | \(0.317269\pi\) | |||||||
\(68\) | 29.0209 | − | 6.34549i | 0.426777 | − | 0.0933160i | ||||
\(69\) | −13.7950 | − | 67.8155i | −0.199928 | − | 0.982834i | ||||
\(70\) | −89.5702 | − | 72.1016i | −1.27957 | − | 1.03002i | ||||
\(71\) | −18.2728 | − | 10.5498i | −0.257363 | − | 0.148589i | 0.365768 | − | 0.930706i | \(-0.380806\pi\) |
−0.623131 | + | 0.782117i | \(0.714140\pi\) | |||||||
\(72\) | −20.4456 | − | 69.0361i | −0.283967 | − | 0.958834i | ||||
\(73\) | 21.2203 | + | 36.7547i | 0.290689 | + | 0.503489i | 0.973973 | − | 0.226664i | \(-0.0727821\pi\) |
−0.683284 | + | 0.730153i | \(0.739449\pi\) | |||||||
\(74\) | 65.6830 | + | 10.2072i | 0.887609 | + | 0.137934i | ||||
\(75\) | −52.9544 | − | 28.7540i | −0.706058 | − | 0.383387i | ||||
\(76\) | −28.1068 | + | 88.2498i | −0.369827 | + | 1.16118i | ||||
\(77\) | −23.4540 | + | 133.014i | −0.304598 | + | 1.72746i | ||||
\(78\) | 48.0847 | − | 2.23826i | 0.616470 | − | 0.0286957i | ||||
\(79\) | −35.0712 | + | 29.4282i | −0.443939 | + | 0.372509i | −0.837181 | − | 0.546926i | \(-0.815798\pi\) |
0.393242 | + | 0.919435i | \(0.371354\pi\) | |||||||
\(80\) | −27.2032 | − | 103.932i | −0.340040 | − | 1.29916i | ||||
\(81\) | 5.66032 | − | 80.8020i | 0.0698805 | − | 0.997555i | ||||
\(82\) | −45.9331 | + | 134.672i | −0.560160 | + | 1.64235i | ||||
\(83\) | −63.9688 | + | 53.6762i | −0.770708 | + | 0.646701i | −0.940890 | − | 0.338712i | \(-0.890009\pi\) |
0.170182 | + | 0.985413i | \(0.445564\pi\) | |||||||
\(84\) | 28.6105 | − | 98.6837i | 0.340602 | − | 1.17481i | ||||
\(85\) | 49.1092 | + | 8.65928i | 0.577755 | + | 0.101874i | ||||
\(86\) | 1.40993 | + | 69.2203i | 0.0163946 | + | 0.804887i | ||||
\(87\) | −107.260 | − | 58.2419i | −1.23288 | − | 0.669448i | ||||
\(88\) | −91.5387 | + | 86.8690i | −1.04021 | + | 0.987147i | ||||
\(89\) | −84.3952 | + | 48.7256i | −0.948261 | + | 0.547479i | −0.892540 | − | 0.450968i | \(-0.851079\pi\) |
−0.0557207 | + | 0.998446i | \(0.517746\pi\) | |||||||
\(90\) | 12.2909 | − | 120.236i | 0.136566 | − | 1.33596i | ||||
\(91\) | 59.4903 | + | 34.3467i | 0.653739 | + | 0.377437i | ||||
\(92\) | 77.9654 | − | 49.3520i | 0.847450 | − | 0.536435i | ||||
\(93\) | 42.3849 | − | 8.62193i | 0.455751 | − | 0.0927089i | ||||
\(94\) | 122.811 | − | 74.2797i | 1.30650 | − | 0.790210i | ||||
\(95\) | −99.9358 | + | 119.099i | −1.05196 | + | 1.25367i | ||||
\(96\) | 76.3323 | − | 58.2184i | 0.795128 | − | 0.606441i | ||||
\(97\) | 13.9771 | + | 5.08726i | 0.144094 | + | 0.0524460i | 0.413061 | − | 0.910704i | \(-0.364460\pi\) |
−0.268966 | + | 0.963150i | \(0.586682\pi\) | |||||||
\(98\) | 36.6051 | − | 32.0080i | 0.373522 | − | 0.326613i | ||||
\(99\) | −130.688 | + | 55.4644i | −1.32009 | + | 0.560246i | ||||
\(100\) | 10.7180 | − | 79.6251i | 0.107180 | − | 0.796251i | ||||
\(101\) | 8.05818 | + | 45.7002i | 0.0797840 | + | 0.452477i | 0.998361 | + | 0.0572348i | \(0.0182284\pi\) |
−0.918577 | + | 0.395243i | \(0.870661\pi\) | |||||||
\(102\) | 9.76981 | + | 43.4755i | 0.0957825 | + | 0.426231i | ||||
\(103\) | −79.6455 | + | 28.9886i | −0.773257 | + | 0.281442i | −0.698358 | − | 0.715749i | \(-0.746086\pi\) |
−0.0748988 | + | 0.997191i | \(0.523863\pi\) | |||||||
\(104\) | 25.5933 | + | 58.8588i | 0.246089 | + | 0.565950i | ||||
\(105\) | 107.374 | − | 134.979i | 1.02261 | − | 1.28551i | ||||
\(106\) | 138.712 | − | 53.7107i | 1.30861 | − | 0.506705i | ||||
\(107\) | 23.5892 | 0.220460 | 0.110230 | − | 0.993906i | \(-0.464841\pi\) | ||||
0.110230 | + | 0.993906i | \(0.464841\pi\) | |||||||
\(108\) | 103.375 | − | 31.2667i | 0.957176 | − | 0.289507i | ||||
\(109\) | − | 160.231i | − | 1.47001i | −0.678061 | − | 0.735005i | \(-0.737180\pi\) | ||
0.678061 | − | 0.735005i | \(-0.262820\pi\) | |||||||
\(110\) | −197.547 | + | 76.4922i | −1.79589 | + | 0.695384i | ||||
\(111\) | −14.7407 | + | 98.6115i | −0.132799 | + | 0.888392i | ||||
\(112\) | 136.542 | − | 11.1479i | 1.21913 | − | 0.0995351i | ||||
\(113\) | 29.1996 | + | 80.2254i | 0.258404 | + | 0.709959i | 0.999266 | + | 0.0383020i | \(0.0121949\pi\) |
−0.740862 | + | 0.671657i | \(0.765583\pi\) | |||||||
\(114\) | −132.616 | − | 41.3940i | −1.16330 | − | 0.363105i | ||||
\(115\) | 152.540 | − | 26.8969i | 1.32643 | − | 0.233886i | ||||
\(116\) | 21.7095 | − | 161.283i | 0.187151 | − | 1.39037i | ||||
\(117\) | 3.77444 | + | 72.1064i | 0.0322602 | + | 0.616294i | ||||
\(118\) | −146.425 | + | 128.036i | −1.24089 | + | 1.08505i | ||||
\(119\) | −21.7487 | + | 59.7540i | −0.182762 | + | 0.502135i | ||||
\(120\) | 155.660 | − | 41.7057i | 1.29717 | − | 0.347547i | ||||
\(121\) | 97.9286 | + | 82.1719i | 0.809327 | + | 0.679106i | ||||
\(122\) | −56.1839 | + | 33.9818i | −0.460524 | + | 0.278540i | ||||
\(123\) | −202.404 | − | 67.7303i | −1.64556 | − | 0.550653i | ||||
\(124\) | 30.8451 | + | 48.7285i | 0.248751 | + | 0.392972i | ||||
\(125\) | −16.4984 | + | 28.5761i | −0.131987 | + | 0.228609i | ||||
\(126\) | 148.271 | + | 42.0591i | 1.17676 | + | 0.333802i | ||||
\(127\) | 32.6341 | + | 56.5240i | 0.256962 | + | 0.445071i | 0.965427 | − | 0.260675i | \(-0.0839452\pi\) |
−0.708465 | + | 0.705746i | \(0.750612\pi\) | |||||||
\(128\) | 108.749 | + | 67.5107i | 0.849600 | + | 0.527428i | ||||
\(129\) | −103.816 | + | 2.71530i | −0.804779 | + | 0.0210489i | ||||
\(130\) | 2.19407 | + | 107.717i | 0.0168774 | + | 0.828594i | ||||
\(131\) | 29.2007 | − | 165.606i | 0.222906 | − | 1.26416i | −0.643741 | − | 0.765243i | \(-0.722619\pi\) |
0.866647 | − | 0.498921i | \(-0.166270\pi\) | |||||||
\(132\) | −131.095 | − | 136.552i | −0.993146 | − | 1.03449i | ||||
\(133\) | −127.436 | − | 151.872i | −0.958163 | − | 1.14189i | ||||
\(134\) | 25.4507 | − | 74.6196i | 0.189931 | − | 0.556863i | ||||
\(135\) | 180.458 | + | 17.3931i | 1.33672 | + | 0.128838i | ||||
\(136\) | −49.5433 | + | 32.7928i | −0.364289 | + | 0.241123i | ||||
\(137\) | 114.535 | + | 136.497i | 0.836021 | + | 0.996331i | 0.999951 | + | 0.00985941i | \(0.00313840\pi\) |
−0.163930 | + | 0.986472i | \(0.552417\pi\) | |||||||
\(138\) | 74.7030 | + | 116.518i | 0.541326 | + | 0.844333i | ||||
\(139\) | −199.355 | − | 35.1517i | −1.43421 | − | 0.252890i | −0.598086 | − | 0.801432i | \(-0.704072\pi\) |
−0.836123 | + | 0.548542i | \(0.815183\pi\) | |||||||
\(140\) | 219.124 | + | 69.7891i | 1.56517 | + | 0.498494i | ||||
\(141\) | 112.483 | + | 183.568i | 0.797752 | + | 1.30190i | ||||
\(142\) | 41.6987 | + | 6.47998i | 0.293653 | + | 0.0456337i | ||||
\(143\) | 109.601 | − | 63.2780i | 0.766438 | − | 0.442503i | ||||
\(144\) | 87.9882 | + | 113.992i | 0.611029 | + | 0.791608i | ||||
\(145\) | 136.589 | − | 236.580i | 0.941995 | − | 1.63158i | ||||
\(146\) | −66.1204 | − | 53.2252i | −0.452880 | − | 0.364556i | ||||
\(147\) | 48.3288 | + | 54.6292i | 0.328767 | + | 0.371627i | ||||
\(148\) | −129.874 | + | 28.3974i | −0.877530 | + | 0.191874i | ||||
\(149\) | 55.9340 | + | 46.9342i | 0.375396 | + | 0.314995i | 0.810892 | − | 0.585196i | \(-0.198982\pi\) |
−0.435496 | + | 0.900191i | \(0.643427\pi\) | |||||||
\(150\) | 119.529 | + | 15.3860i | 0.796858 | + | 0.102573i | ||||
\(151\) | 8.25097 | + | 3.00311i | 0.0546422 | + | 0.0198881i | 0.369197 | − | 0.929351i | \(-0.379633\pi\) |
−0.314554 | + | 0.949239i | \(0.601855\pi\) | |||||||
\(152\) | −11.3104 | − | 184.890i | −0.0744108 | − | 1.21638i | ||||
\(153\) | −65.1275 | + | 15.0316i | −0.425670 | + | 0.0982457i | ||||
\(154\) | −52.3159 | − | 265.018i | −0.339713 | − | 1.72090i | ||||
\(155\) | 16.8106 | + | 95.3379i | 0.108456 | + | 0.615083i | ||||
\(156\) | −88.0646 | + | 38.8999i | −0.564517 | + | 0.249358i | ||||
\(157\) | −24.0149 | − | 65.9804i | −0.152961 | − | 0.420257i | 0.839417 | − | 0.543488i | \(-0.182897\pi\) |
−0.992378 | + | 0.123231i | \(0.960674\pi\) | |||||||
\(158\) | 44.1579 | − | 80.2130i | 0.279480 | − | 0.507677i | ||||
\(159\) | 81.7679 | + | 207.599i | 0.514264 | + | 1.30565i | ||||
\(160\) | 125.793 | + | 174.195i | 0.786205 | + | 1.08872i | ||||
\(161\) | 197.516i | 1.22681i | ||||||||
\(162\) | 47.7960 | + | 154.789i | 0.295037 | + | 0.955486i | ||||
\(163\) | 191.352i | 1.17394i | 0.809610 | + | 0.586968i | \(0.199679\pi\) | ||||
−0.809610 | + | 0.586968i | \(0.800321\pi\) | |||||||
\(164\) | −11.5883 | − | 284.344i | −0.0706603 | − | 1.73381i | ||||
\(165\) | −116.450 | − | 295.653i | −0.705758 | − | 1.79183i | ||||
\(166\) | 80.5426 | − | 146.306i | 0.485196 | − | 0.881361i | ||||
\(167\) | −7.69637 | − | 21.1456i | −0.0460860 | − | 0.126620i | 0.914514 | − | 0.404553i | \(-0.132573\pi\) |
−0.960601 | + | 0.277933i | \(0.910351\pi\) | |||||||
\(168\) | 17.9060 | + | 204.713i | 0.106583 | + | 1.21853i | ||||
\(169\) | 18.1697 | + | 103.045i | 0.107513 | + | 0.609735i | ||||
\(170\) | −97.8453 | + | 19.3151i | −0.575561 | + | 0.113618i | ||||
\(171\) | 60.9396 | − | 199.280i | 0.356372 | − | 1.16538i | ||||
\(172\) | −52.6185 | − | 128.082i | −0.305922 | − | 0.744664i | ||||
\(173\) | −225.848 | − | 82.2020i | −1.30548 | − | 0.475156i | −0.406702 | − | 0.913561i | \(-0.633321\pi\) |
−0.898778 | + | 0.438405i | \(0.855544\pi\) | |||||||
\(174\) | 242.108 | + | 31.1647i | 1.39143 | + | 0.179107i | ||||
\(175\) | 131.745 | + | 110.547i | 0.752827 | + | 0.631697i | ||||
\(176\) | 107.991 | − | 228.123i | 0.613588 | − | 1.29615i | ||||
\(177\) | −193.321 | − | 218.523i | −1.09221 | − | 1.23459i | ||||
\(178\) | 122.214 | − | 151.824i | 0.686598 | − | 0.852945i | ||||
\(179\) | 139.297 | − | 241.269i | 0.778194 | − | 1.34787i | −0.154788 | − | 0.987948i | \(-0.549469\pi\) |
0.932982 | − | 0.359924i | \(-0.117197\pi\) | |||||||
\(180\) | 63.9077 | + | 233.124i | 0.355043 | + | 1.29514i | ||||
\(181\) | −25.6831 | + | 14.8282i | −0.141896 | + | 0.0819236i | −0.569267 | − | 0.822153i | \(-0.692773\pi\) |
0.427371 | + | 0.904076i | \(0.359440\pi\) | |||||||
\(182\) | −135.757 | − | 21.0967i | −0.745920 | − | 0.115916i | ||||
\(183\) | −51.4592 | − | 83.9797i | −0.281198 | − | 0.458906i | ||||
\(184\) | −109.770 | + | 148.349i | −0.596576 | + | 0.806245i | ||||
\(185\) | −219.774 | − | 38.7521i | −1.18797 | − | 0.209471i | ||||
\(186\) | −72.8240 | + | 46.6896i | −0.391527 | + | 0.251019i | ||||
\(187\) | 75.3037 | + | 89.7434i | 0.402693 | + | 0.479911i | ||||
\(188\) | −175.407 | + | 227.227i | −0.933016 | + | 1.20865i | ||||
\(189\) | −61.8014 | + | 222.768i | −0.326992 | + | 1.17867i | ||||
\(190\) | 100.377 | − | 294.298i | 0.528300 | − | 1.54894i | ||||
\(191\) | −186.650 | − | 222.440i | −0.977223 | − | 1.16461i | −0.986352 | − | 0.164651i | \(-0.947350\pi\) |
0.00912903 | − | 0.999958i | \(-0.497094\pi\) | |||||||
\(192\) | −100.321 | + | 163.706i | −0.522506 | + | 0.852636i | ||||
\(193\) | −9.94444 | + | 56.3977i | −0.0515256 | + | 0.292216i | −0.999672 | − | 0.0256184i | \(-0.991845\pi\) |
0.948146 | + | 0.317834i | \(0.102956\pi\) | |||||||
\(194\) | −29.7422 | + | 0.605811i | −0.153310 | + | 0.00312274i | ||||
\(195\) | −161.554 | + | 4.22542i | −0.828483 | + | 0.0216688i | ||||
\(196\) | −45.1557 | + | 86.1323i | −0.230386 | + | 0.439450i | ||||
\(197\) | 10.0061 | + | 17.3311i | 0.0507926 | + | 0.0879753i | 0.890304 | − | 0.455367i | \(-0.150492\pi\) |
−0.839511 | + | 0.543342i | \(0.817159\pi\) | |||||||
\(198\) | 203.688 | − | 197.824i | 1.02873 | − | 0.999112i | ||||
\(199\) | 99.5221 | − | 172.377i | 0.500111 | − | 0.866218i | −0.499889 | − | 0.866090i | \(-0.666626\pi\) |
1.00000 | 0.000128296i | \(-4.08378e-5\pi\) | ||||||||
\(200\) | 37.5133 | + | 156.246i | 0.187566 | + | 0.781231i | ||||
\(201\) | 112.148 | + | 37.5282i | 0.557952 | + | 0.186707i | ||||
\(202\) | −48.0324 | − | 79.4145i | −0.237784 | − | 0.393141i | ||||
\(203\) | 266.852 | + | 223.916i | 1.31454 | + | 1.10303i | ||||
\(204\) | −49.6181 | − | 74.0292i | −0.243226 | − | 0.362888i | ||||
\(205\) | 163.387 | − | 448.901i | 0.797008 | − | 2.18976i | ||||
\(206\) | 127.609 | − | 111.583i | 0.619462 | − | 0.541666i | ||||
\(207\) | −174.126 | + | 113.063i | −0.841189 | + | 0.546200i | ||||
\(208\) | −90.2393 | − | 91.2927i | −0.433843 | − | 0.438907i | ||||
\(209\) | −359.702 | + | 63.4251i | −1.72106 | + | 0.303469i | ||||
\(210\) | −102.781 | + | 329.286i | −0.489434 | + | 1.56803i | ||||
\(211\) | 70.3176 | + | 193.196i | 0.333259 | + | 0.915620i | 0.987258 | + | 0.159126i | \(0.0508675\pi\) |
−0.654000 | + | 0.756495i | \(0.726910\pi\) | |||||||
\(212\) | −219.919 | + | 200.348i | −1.03735 | + | 0.945037i | ||||
\(213\) | −9.35810 | + | 62.6032i | −0.0439348 | + | 0.293912i | ||||
\(214\) | −43.9954 | + | 17.0354i | −0.205586 | + | 0.0796048i | ||||
\(215\) | − | 232.441i | − | 1.08112i | ||||||
\(216\) | −170.221 | + | 132.969i | −0.788061 | + | 0.615597i | ||||
\(217\) | −123.448 | −0.568885 | ||||||||
\(218\) | 115.714 | + | 298.842i | 0.530800 | + | 1.37083i | ||||
\(219\) | 79.2629 | − | 99.6407i | 0.361931 | − | 0.454980i | ||||
\(220\) | 313.198 | − | 285.326i | 1.42363 | − | 1.29694i | ||||
\(221\) | 55.9890 | − | 20.3783i | 0.253344 | − | 0.0922096i | ||||
\(222\) | −43.7220 | − | 194.562i | −0.196946 | − | 0.876406i | ||||
\(223\) | −43.0564 | − | 244.185i | −0.193078 | − | 1.09500i | −0.915129 | − | 0.403160i | \(-0.867912\pi\) |
0.722052 | − | 0.691839i | \(-0.243199\pi\) | |||||||
\(224\) | −246.610 | + | 119.399i | −1.10094 | + | 0.533029i | ||||
\(225\) | −22.0418 | + | 179.423i | −0.0979633 | + | 0.797438i | ||||
\(226\) | −112.396 | − | 128.538i | −0.497326 | − | 0.568754i | ||||
\(227\) | −227.693 | − | 82.8736i | −1.00305 | − | 0.365082i | −0.212293 | − | 0.977206i | \(-0.568093\pi\) |
−0.790762 | + | 0.612124i | \(0.790315\pi\) | |||||||
\(228\) | 277.232 | − | 18.5692i | 1.21593 | − | 0.0814437i | ||||
\(229\) | −132.146 | + | 157.486i | −0.577058 | + | 0.687711i | −0.973064 | − | 0.230537i | \(-0.925952\pi\) |
0.396005 | + | 0.918248i | \(0.370396\pi\) | |||||||
\(230\) | −265.073 | + | 160.325i | −1.15249 | + | 0.697063i | ||||
\(231\) | 397.067 | − | 80.7714i | 1.71891 | − | 0.349660i | ||||
\(232\) | 75.9841 | + | 316.481i | 0.327518 | + | 1.36414i | ||||
\(233\) | 155.653 | + | 89.8665i | 0.668040 | + | 0.385693i | 0.795334 | − | 0.606172i | \(-0.207296\pi\) |
−0.127294 | + | 0.991865i | \(0.540629\pi\) | |||||||
\(234\) | −59.1127 | − | 131.757i | −0.252619 | − | 0.563066i | ||||
\(235\) | −417.305 | + | 240.931i | −1.77576 | + | 1.02524i | ||||
\(236\) | 180.628 | − | 344.539i | 0.765374 | − | 1.45991i | ||||
\(237\) | 120.700 | + | 65.5399i | 0.509285 | + | 0.276540i | ||||
\(238\) | −2.58992 | − | 127.151i | −0.0108820 | − | 0.534250i | ||||
\(239\) | 47.2222 | + | 8.32655i | 0.197583 | + | 0.0348391i | 0.271564 | − | 0.962421i | \(-0.412459\pi\) |
−0.0739810 | + | 0.997260i | \(0.523570\pi\) | |||||||
\(240\) | −260.198 | + | 190.197i | −1.08416 | + | 0.792488i | ||||
\(241\) | 102.971 | − | 86.4032i | 0.427267 | − | 0.358519i | −0.403653 | − | 0.914912i | \(-0.632260\pi\) |
0.830919 | + | 0.556393i | \(0.187815\pi\) | |||||||
\(242\) | −241.985 | − | 82.5347i | −0.999940 | − | 0.341052i | ||||
\(243\) | −231.765 | + | 73.0355i | −0.953764 | + | 0.300558i | ||||
\(244\) | 80.2460 | − | 103.953i | 0.328877 | − | 0.426036i | ||||
\(245\) | −125.057 | + | 104.936i | −0.510438 | + | 0.428308i | ||||
\(246\) | 426.409 | − | 19.8486i | 1.73337 | − | 0.0806855i | ||||
\(247\) | −32.2574 | + | 182.941i | −0.130597 | + | 0.740651i | ||||
\(248\) | −92.7185 | − | 68.6065i | −0.373865 | − | 0.276639i | ||||
\(249\) | 220.154 | + | 119.543i | 0.884153 | + | 0.480091i | ||||
\(250\) | 10.1338 | − | 65.2109i | 0.0405351 | − | 0.260844i | ||||
\(251\) | 46.8237 | + | 81.1011i | 0.186549 | + | 0.323112i | 0.944097 | − | 0.329667i | \(-0.106936\pi\) |
−0.757549 | + | 0.652779i | \(0.773603\pi\) | |||||||
\(252\) | −306.910 | + | 28.6343i | −1.21790 | + | 0.113628i | ||||
\(253\) | 315.138 | + | 181.945i | 1.24560 | + | 0.719149i | ||||
\(254\) | −101.685 | − | 81.8535i | −0.400334 | − | 0.322258i | ||||
\(255\) | −29.8210 | − | 146.598i | −0.116945 | − | 0.574894i | ||||
\(256\) | −251.578 | − | 47.3767i | −0.982726 | − | 0.185065i | ||||
\(257\) | −72.2432 | + | 86.0961i | −0.281102 | + | 0.335004i | −0.888058 | − | 0.459731i | \(-0.847946\pi\) |
0.606956 | + | 0.794735i | \(0.292390\pi\) | |||||||
\(258\) | 191.664 | − | 80.0375i | 0.742882 | − | 0.310223i | ||||
\(259\) | 97.3300 | − | 267.412i | 0.375791 | − | 1.03248i | ||||
\(260\) | −81.8824 | − | 199.315i | −0.314932 | − | 0.766597i | ||||
\(261\) | −44.6461 | + | 363.427i | −0.171058 | + | 1.39244i | ||||
\(262\) | 65.1343 | + | 329.953i | 0.248604 | + | 1.25936i | ||||
\(263\) | −39.8459 | + | 7.02591i | −0.151505 | + | 0.0267145i | −0.248886 | − | 0.968533i | \(-0.580065\pi\) |
0.0973810 | + | 0.995247i | \(0.468953\pi\) | |||||||
\(264\) | 343.115 | + | 160.006i | 1.29968 | + | 0.606082i | ||||
\(265\) | −469.274 | + | 170.802i | −1.77084 | + | 0.644535i | ||||
\(266\) | 347.354 | + | 191.221i | 1.30584 | + | 0.718875i | ||||
\(267\) | 228.793 | + | 182.002i | 0.856901 | + | 0.681654i | ||||
\(268\) | 6.42087 | + | 157.550i | 0.0239585 | + | 0.587874i | ||||
\(269\) | −333.401 | −1.23941 | −0.619705 | − | 0.784835i | \(-0.712748\pi\) | ||||
−0.619705 | + | 0.784835i | \(0.712748\pi\) | |||||||
\(270\) | −349.126 | + | 97.8822i | −1.29306 | + | 0.362527i | ||||
\(271\) | −311.416 | −1.14914 | −0.574568 | − | 0.818457i | \(-0.694830\pi\) | ||||
−0.574568 | + | 0.818457i | \(0.694830\pi\) | |||||||
\(272\) | 68.7194 | − | 96.9394i | 0.252645 | − | 0.356395i | ||||
\(273\) | 30.4670 | − | 203.816i | 0.111601 | − | 0.746578i | ||||
\(274\) | −312.190 | − | 171.863i | −1.13938 | − | 0.627236i | ||||
\(275\) | 297.737 | − | 108.367i | 1.08268 | − | 0.394063i | ||||
\(276\) | −223.472 | − | 163.365i | −0.809681 | − | 0.591903i | ||||
\(277\) | 25.0100 | − | 4.40993i | 0.0902887 | − | 0.0159203i | −0.128321 | − | 0.991733i | \(-0.540959\pi\) |
0.218610 | + | 0.975812i | \(0.429848\pi\) | |||||||
\(278\) | 397.196 | − | 78.4083i | 1.42876 | − | 0.282044i | ||||
\(279\) | −70.6649 | − | 108.829i | −0.253279 | − | 0.390069i | ||||
\(280\) | −459.080 | + | 28.0838i | −1.63957 | + | 0.100299i | ||||
\(281\) | 10.0227 | − | 27.5371i | 0.0356679 | − | 0.0979969i | −0.920580 | − | 0.390553i | \(-0.872284\pi\) |
0.956248 | + | 0.292556i | \(0.0945059\pi\) | |||||||
\(282\) | −342.356 | − | 261.135i | −1.21403 | − | 0.926011i | ||||
\(283\) | 197.105 | − | 234.900i | 0.696482 | − | 0.830035i | −0.295641 | − | 0.955299i | \(-0.595533\pi\) |
0.992123 | + | 0.125264i | \(0.0399777\pi\) | |||||||
\(284\) | −82.4505 | + | 18.0280i | −0.290319 | + | 0.0634789i | ||||
\(285\) | 442.310 | + | 148.010i | 1.55197 | + | 0.519334i | ||||
\(286\) | −158.715 | + | 197.168i | −0.554947 | + | 0.689399i | ||||
\(287\) | 527.552 | + | 304.582i | 1.83816 | + | 1.06126i | ||||
\(288\) | −246.425 | − | 149.059i | −0.855643 | − | 0.517566i | ||||
\(289\) | −116.923 | − | 202.516i | −0.404577 | − | 0.700747i | ||||
\(290\) | −83.8970 | + | 539.877i | −0.289300 | + | 1.86165i | ||||
\(291\) | −1.16669 | − | 44.6072i | −0.00400926 | − | 0.153289i | ||||
\(292\) | 161.757 | + | 51.5181i | 0.553961 | + | 0.176432i | ||||
\(293\) | 48.6000 | − | 275.624i | 0.165870 | − | 0.940697i | −0.782292 | − | 0.622912i | \(-0.785950\pi\) |
0.948163 | − | 0.317786i | \(-0.102939\pi\) | |||||||
\(294\) | −129.588 | − | 66.9853i | −0.440775 | − | 0.227841i | ||||
\(295\) | 500.244 | − | 419.755i | 1.69574 | − | 1.42290i | ||||
\(296\) | 221.717 | − | 146.755i | 0.749043 | − | 0.495793i | ||||
\(297\) | 298.498 | + | 303.811i | 1.00504 | + | 1.02293i | ||||
\(298\) | −138.215 | − | 47.1415i | −0.463809 | − | 0.158193i | ||||
\(299\) | 141.772 | − | 118.961i | 0.474155 | − | 0.397863i | ||||
\(300\) | −234.040 | + | 57.6243i | −0.780134 | + | 0.192081i | ||||
\(301\) | 291.901 | + | 51.4700i | 0.969769 | + | 0.170997i | ||||
\(302\) | −17.5574 | + | 0.357622i | −0.0581369 | + | 0.00118418i | ||||
\(303\) | 118.703 | − | 72.7363i | 0.391760 | − | 0.240054i | ||||
\(304\) | 154.617 | + | 336.663i | 0.508608 | + | 1.10744i | ||||
\(305\) | 190.910 | − | 110.222i | 0.625936 | − | 0.361384i | ||||
\(306\) | 110.612 | − | 75.0681i | 0.361476 | − | 0.245321i | ||||
\(307\) | 299.330 | + | 172.818i | 0.975016 | + | 0.562926i | 0.900762 | − | 0.434313i | \(-0.143009\pi\) |
0.0742544 | + | 0.997239i | \(0.476342\pi\) | |||||||
\(308\) | 288.961 | + | 456.496i | 0.938186 | + | 1.48213i | ||||
\(309\) | 168.479 | + | 190.443i | 0.545239 | + | 0.616320i | ||||
\(310\) | −100.203 | − | 165.671i | −0.323236 | − | 0.534423i | ||||
\(311\) | −106.997 | + | 127.514i | −0.344043 | + | 0.410014i | −0.910125 | − | 0.414335i | \(-0.864014\pi\) |
0.566082 | + | 0.824349i | \(0.308459\pi\) | |||||||
\(312\) | 136.154 | − | 136.149i | 0.436391 | − | 0.436374i | ||||
\(313\) | −384.385 | − | 139.905i | −1.22807 | − | 0.446980i | −0.355132 | − | 0.934816i | \(-0.615564\pi\) |
−0.872935 | + | 0.487836i | \(0.837786\pi\) | |||||||
\(314\) | 92.4385 | + | 105.715i | 0.294390 | + | 0.336672i | ||||
\(315\) | −494.812 | − | 151.313i | −1.57083 | − | 0.480358i | ||||
\(316\) | −24.4298 | + | 181.492i | −0.0773094 | + | 0.574342i | ||||
\(317\) | −15.3024 | − | 86.7842i | −0.0482726 | − | 0.273767i | 0.951112 | − | 0.308846i | \(-0.0999429\pi\) |
−0.999385 | + | 0.0350789i | \(0.988832\pi\) | |||||||
\(318\) | −302.424 | − | 328.135i | −0.951020 | − | 1.03187i | ||||
\(319\) | 603.073 | − | 219.501i | 1.89051 | − | 0.688090i | ||||
\(320\) | −360.411 | − | 234.042i | −1.12628 | − | 0.731381i | ||||
\(321\) | −25.9344 | − | 65.8442i | −0.0807924 | − | 0.205122i | ||||
\(322\) | −142.640 | − | 368.380i | −0.442983 | − | 1.14404i | ||||
\(323\) | −171.959 | −0.532381 | ||||||||
\(324\) | −200.927 | − | 254.174i | −0.620144 | − | 0.784488i | ||||
\(325\) | − | 161.144i | − | 0.495828i | ||||||
\(326\) | −138.189 | − | 356.883i | −0.423891 | − | 1.09473i | ||||
\(327\) | −447.251 | + | 176.161i | −1.36774 | + | 0.538718i | ||||
\(328\) | 226.958 | + | 521.952i | 0.691946 | + | 1.59132i | ||||
\(329\) | −210.157 | − | 577.402i | −0.638776 | − | 1.75502i | ||||
\(330\) | 430.699 | + | 467.314i | 1.30515 | + | 1.41610i | ||||
\(331\) | −485.193 | + | 85.5526i | −1.46584 | + | 0.258467i | −0.848904 | − | 0.528547i | \(-0.822737\pi\) |
−0.616935 | + | 0.787014i | \(0.711626\pi\) | |||||||
\(332\) | −44.5592 | + | 331.036i | −0.134214 | + | 0.997096i | ||||
\(333\) | 291.459 | − | 67.2695i | 0.875252 | − | 0.202011i | ||||
\(334\) | 29.6250 | + | 33.8798i | 0.0886975 | + | 0.101437i | ||||
\(335\) | −90.5297 | + | 248.728i | −0.270238 | + | 0.742473i | ||||
\(336\) | −181.234 | − | 368.873i | −0.539387 | − | 1.09783i | ||||
\(337\) | −374.666 | − | 314.382i | −1.11177 | − | 0.932885i | −0.113610 | − | 0.993525i | \(-0.536241\pi\) |
−0.998160 | + | 0.0606403i | \(0.980686\pi\) | |||||||
\(338\) | −108.304 | − | 179.064i | −0.320426 | − | 0.529776i | ||||
\(339\) | 191.829 | − | 169.706i | 0.565869 | − | 0.500607i | ||||
\(340\) | 168.539 | − | 106.685i | 0.495703 | − | 0.313780i | ||||
\(341\) | −113.716 | + | 196.962i | −0.333478 | + | 0.577601i | ||||
\(342\) | 30.2581 | + | 415.680i | 0.0884739 | + | 1.21544i | ||||
\(343\) | 105.689 | + | 183.059i | 0.308132 | + | 0.533701i | ||||
\(344\) | 190.634 | + | 200.882i | 0.554169 | + | 0.583959i | ||||
\(345\) | −242.782 | − | 396.212i | −0.703716 | − | 1.14844i | ||||
\(346\) | 480.585 | − | 9.78893i | 1.38897 | − | 0.0282917i | ||||
\(347\) | 35.8254 | − | 203.176i | 0.103243 | − | 0.585521i | −0.888664 | − | 0.458558i | \(-0.848366\pi\) |
0.991907 | − | 0.126963i | \(-0.0405229\pi\) | |||||||
\(348\) | −474.054 | + | 116.719i | −1.36222 | + | 0.335401i | ||||
\(349\) | 256.116 | + | 305.227i | 0.733858 | + | 0.874577i | 0.995898 | − | 0.0904794i | \(-0.0288399\pi\) |
−0.262041 | + | 0.965057i | \(0.584395\pi\) | |||||||
\(350\) | −325.546 | − | 111.035i | −0.930132 | − | 0.317243i | ||||
\(351\) | 197.120 | − | 89.8105i | 0.561595 | − | 0.255870i | ||||
\(352\) | −36.6672 | + | 503.452i | −0.104168 | + | 1.43026i | ||||
\(353\) | 295.022 | + | 351.593i | 0.835755 | + | 0.996014i | 0.999954 | + | 0.00958707i | \(0.00305170\pi\) |
−0.164199 | + | 0.986427i | \(0.552504\pi\) | |||||||
\(354\) | 518.367 | + | 267.949i | 1.46431 | + | 0.756919i | ||||
\(355\) | −139.523 | − | 24.6017i | −0.393022 | − | 0.0693005i | ||||
\(356\) | −118.295 | + | 371.422i | −0.332288 | + | 1.04332i | ||||
\(357\) | 190.702 | − | 4.98776i | 0.534178 | − | 0.0139713i | ||||
\(358\) | −85.5600 | + | 550.579i | −0.238994 | + | 1.53793i | ||||
\(359\) | 330.481 | − | 190.803i | 0.920560 | − | 0.531485i | 0.0367462 | − | 0.999325i | \(-0.488301\pi\) |
0.883814 | + | 0.467839i | \(0.154967\pi\) | |||||||
\(360\) | −287.548 | − | 388.640i | −0.798744 | − | 1.07956i | ||||
\(361\) | 87.5634 | − | 151.664i | 0.242558 | − | 0.420123i | ||||
\(362\) | 37.1923 | − | 46.2031i | 0.102741 | − | 0.127633i | ||||
\(363\) | 121.701 | − | 363.688i | 0.335264 | − | 1.00190i | ||||
\(364\) | 268.432 | − | 58.6934i | 0.737451 | − | 0.161246i | ||||
\(365\) | 218.301 | + | 183.176i | 0.598085 | + | 0.501853i | ||||
\(366\) | 156.623 | + | 119.465i | 0.427931 | + | 0.326408i | ||||
\(367\) | −676.872 | − | 246.361i | −1.84434 | − | 0.671284i | −0.987913 | − | 0.155012i | \(-0.950458\pi\) |
−0.856425 | − | 0.516272i | \(-0.827320\pi\) | |||||||
\(368\) | 97.5946 | − | 355.953i | 0.265203 | − | 0.967264i | ||||
\(369\) | 33.4713 | + | 639.430i | 0.0907081 | + | 1.73287i | ||||
\(370\) | 437.878 | − | 86.4393i | 1.18346 | − | 0.233620i | ||||
\(371\) | −110.581 | − | 627.136i | −0.298062 | − | 1.69039i | ||||
\(372\) | 102.104 | − | 139.671i | 0.274472 | − | 0.375458i | ||||
\(373\) | −134.688 | − | 370.053i | −0.361094 | − | 0.992099i | −0.978643 | − | 0.205566i | \(-0.934096\pi\) |
0.617549 | − | 0.786533i | \(-0.288126\pi\) | |||||||
\(374\) | −205.256 | − | 112.995i | −0.548814 | − | 0.302126i | ||||
\(375\) | 97.9027 | + | 14.6348i | 0.261074 | + | 0.0390260i | ||||
\(376\) | 163.049 | − | 550.467i | 0.433641 | − | 1.46401i | ||||
\(377\) | − | 326.402i | − | 0.865787i | ||||||
\(378\) | −45.6130 | − | 460.108i | −0.120669 | − | 1.21722i | ||||
\(379\) | 351.090i | 0.926359i | 0.886265 | + | 0.463179i | \(0.153291\pi\) | ||||
−0.886265 | + | 0.463179i | \(0.846709\pi\) | |||||||
\(380\) | 25.3238 | + | 621.374i | 0.0666415 | + | 1.63520i | ||||
\(381\) | 121.896 | − | 153.235i | 0.319937 | − | 0.402191i | ||||
\(382\) | 508.754 | + | 280.073i | 1.33182 | + | 0.733175i | ||||
\(383\) | −259.254 | − | 712.294i | −0.676903 | − | 1.85978i | −0.473841 | − | 0.880611i | \(-0.657133\pi\) |
−0.203063 | − | 0.979166i | \(-0.565089\pi\) | |||||||
\(384\) | 68.8816 | − | 377.772i | 0.179379 | − | 0.983780i | ||||
\(385\) | 157.484 | + | 893.138i | 0.409050 | + | 2.31984i | ||||
\(386\) | −22.1818 | − | 112.367i | −0.0574657 | − | 0.291106i | ||||
\(387\) | 121.717 | + | 286.796i | 0.314514 | + | 0.741076i | ||||
\(388\) | 55.0336 | − | 22.6088i | 0.141839 | − | 0.0582701i | ||||
\(389\) | −483.578 | − | 176.008i | −1.24313 | − | 0.452463i | −0.365057 | − | 0.930985i | \(-0.618950\pi\) |
−0.878075 | + | 0.478522i | \(0.841173\pi\) | |||||||
\(390\) | 298.258 | − | 124.550i | 0.764763 | − | 0.319360i | ||||
\(391\) | 131.237 | + | 110.121i | 0.335646 | + | 0.281640i | ||||
\(392\) | 22.0161 | − | 193.252i | 0.0561636 | − | 0.492991i | ||||
\(393\) | −494.356 | + | 100.562i | −1.25790 | + | 0.255883i | ||||
\(394\) | −31.1781 | − | 25.0976i | −0.0791323 | − | 0.0636994i | ||||
\(395\) | −153.704 | + | 266.224i | −0.389125 | + | 0.673985i | ||||
\(396\) | −237.028 | + | 516.052i | −0.598556 | + | 1.30316i | ||||
\(397\) | −563.555 | + | 325.369i | −1.41953 | + | 0.819568i | −0.996258 | − | 0.0864327i | \(-0.972453\pi\) |
−0.423276 | + | 0.906001i | \(0.639120\pi\) | |||||||
\(398\) | −61.1293 | + | 393.367i | −0.153591 | + | 0.988359i | ||||
\(399\) | −283.813 | + | 522.680i | −0.711311 | + | 1.30998i | ||||
\(400\) | −182.801 | − | 264.318i | −0.457003 | − | 0.660796i | ||||
\(401\) | 482.881 | + | 85.1449i | 1.20419 | + | 0.212331i | 0.739510 | − | 0.673146i | \(-0.235057\pi\) |
0.464682 | + | 0.885478i | \(0.346169\pi\) | |||||||
\(402\) | −236.266 | + | 10.9978i | −0.587726 | + | 0.0273577i | ||||
\(403\) | 74.3510 | + | 88.6081i | 0.184494 | + | 0.219871i | ||||
\(404\) | 146.934 | + | 113.426i | 0.363699 | + | 0.280757i | ||||
\(405\) | −149.849 | − | 522.832i | −0.369998 | − | 1.29094i | ||||
\(406\) | −659.402 | − | 224.904i | −1.62414 | − | 0.553951i | ||||
\(407\) | −337.000 | − | 401.621i | −0.828009 | − | 0.986783i | ||||
\(408\) | 146.003 | + | 102.237i | 0.357850 | + | 0.250580i | ||||
\(409\) | 2.05082 | − | 11.6308i | 0.00501423 | − | 0.0284371i | −0.982198 | − | 0.187849i | \(-0.939849\pi\) |
0.987212 | + | 0.159412i | \(0.0509597\pi\) | |||||||
\(410\) | 19.4567 | + | 955.223i | 0.0474554 | + | 2.32981i | ||||
\(411\) | 255.082 | − | 469.767i | 0.620637 | − | 1.14299i | ||||
\(412\) | −157.417 | + | 300.266i | −0.382081 | + | 0.728800i | ||||
\(413\) | 416.359 | + | 721.155i | 1.00813 | + | 1.74614i | ||||
\(414\) | 243.105 | − | 336.619i | 0.587211 | − | 0.813090i | ||||
\(415\) | −280.352 | + | 485.584i | −0.675548 | + | 1.17008i | ||||
\(416\) | 234.231 | + | 105.099i | 0.563056 | + | 0.252641i | ||||
\(417\) | 121.056 | + | 595.103i | 0.290302 | + | 1.42711i | ||||
\(418\) | 625.063 | − | 378.058i | 1.49537 | − | 0.904445i | ||||
\(419\) | 145.685 | + | 122.244i | 0.347697 | + | 0.291753i | 0.799865 | − | 0.600180i | \(-0.204905\pi\) |
−0.452167 | + | 0.891933i | \(0.649349\pi\) | |||||||
\(420\) | −46.1072 | − | 688.365i | −0.109779 | − | 1.63897i | ||||
\(421\) | 110.926 | − | 304.767i | 0.263482 | − | 0.723912i | −0.735444 | − | 0.677585i | \(-0.763026\pi\) |
0.998926 | − | 0.0463262i | \(-0.0147514\pi\) | |||||||
\(422\) | −270.667 | − | 309.542i | −0.641392 | − | 0.733511i | ||||
\(423\) | 388.726 | − | 515.791i | 0.918975 | − | 1.21936i | ||||
\(424\) | 265.478 | − | 532.481i | 0.626127 | − | 1.25585i | ||||
\(425\) | 146.904 | − | 25.9031i | 0.345655 | − | 0.0609484i | ||||
\(426\) | −27.7568 | − | 123.517i | −0.0651568 | − | 0.289947i | ||||
\(427\) | 96.1437 | + | 264.153i | 0.225161 | + | 0.618624i | ||||
\(428\) | 69.7518 | − | 63.5444i | 0.162971 | − | 0.148468i | ||||
\(429\) | −297.124 | − | 236.358i | −0.692596 | − | 0.550951i | ||||
\(430\) | 167.863 | + | 433.518i | 0.390378 | + | 1.00818i | ||||
\(431\) | 111.208i | 0.258024i | 0.991643 | + | 0.129012i | \(0.0411806\pi\) | ||||
−0.991643 | + | 0.129012i | \(0.958819\pi\) | |||||||
\(432\) | 221.447 | − | 370.925i | 0.512610 | − | 0.858622i | ||||
\(433\) | 428.029 | 0.988519 | 0.494260 | − | 0.869314i | \(-0.335439\pi\) | ||||
0.494260 | + | 0.869314i | \(0.335439\pi\) | |||||||
\(434\) | 230.239 | − | 89.1506i | 0.530504 | − | 0.205416i | ||||
\(435\) | −810.530 | − | 121.160i | −1.86329 | − | 0.278529i | ||||
\(436\) | −431.630 | − | 473.794i | −0.989976 | − | 1.08668i | ||||
\(437\) | −501.917 | + | 182.683i | −1.14855 | + | 0.418039i | ||||
\(438\) | −75.8727 | + | 243.078i | −0.173225 | + | 0.554972i | ||||
\(439\) | 77.3604 | + | 438.733i | 0.176220 | + | 0.999391i | 0.936727 | + | 0.350062i | \(0.113839\pi\) |
−0.760507 | + | 0.649330i | \(0.775050\pi\) | |||||||
\(440\) | −378.081 | + | 758.334i | −0.859275 | + | 1.72349i | ||||
\(441\) | 99.3522 | − | 194.960i | 0.225288 | − | 0.442085i | ||||
\(442\) | −89.7065 | + | 78.4406i | −0.202956 | + | 0.177467i | ||||
\(443\) | 443.091 | + | 161.272i | 1.00021 | + | 0.364045i | 0.789664 | − | 0.613540i | \(-0.210255\pi\) |
0.210542 | + | 0.977585i | \(0.432477\pi\) | |||||||
\(444\) | 222.052 | + | 331.296i | 0.500116 | + | 0.746163i | ||||
\(445\) | −420.605 | + | 501.258i | −0.945180 | + | 1.12642i | ||||
\(446\) | 256.646 | + | 424.327i | 0.575440 | + | 0.951405i | ||||
\(447\) | 69.5121 | − | 207.728i | 0.155508 | − | 0.464716i | ||||
\(448\) | 373.717 | − | 400.780i | 0.834189 | − | 0.894599i | ||||
\(449\) | 173.821 | + | 100.355i | 0.387128 | + | 0.223509i | 0.680915 | − | 0.732362i | \(-0.261582\pi\) |
−0.293787 | + | 0.955871i | \(0.594916\pi\) | |||||||
\(450\) | −88.4652 | − | 350.554i | −0.196589 | − | 0.779010i | ||||
\(451\) | 971.925 | − | 561.141i | 2.15504 | − | 1.24422i | ||||
\(452\) | 302.452 | + | 158.564i | 0.669142 | + | 0.350804i | ||||
\(453\) | −0.688722 | − | 26.3325i | −0.00152036 | − | 0.0581291i | ||||
\(454\) | 484.512 | − | 9.86891i | 1.06721 | − | 0.0217377i | ||||
\(455\) | 454.241 | + | 80.0950i | 0.998333 | + | 0.176033i | ||||
\(456\) | −503.645 | + | 234.842i | −1.10449 | + | 0.515003i | ||||
\(457\) | −315.393 | + | 264.646i | −0.690137 | + | 0.579094i | −0.918949 | − | 0.394377i | \(-0.870960\pi\) |
0.228812 | + | 0.973471i | \(0.426516\pi\) | |||||||
\(458\) | 132.730 | − | 389.154i | 0.289803 | − | 0.849681i | ||||
\(459\) | 113.560 | + | 165.263i | 0.247407 | + | 0.360051i | ||||
\(460\) | 378.596 | − | 490.444i | 0.823036 | − | 1.06618i | ||||
\(461\) | 70.0397 | − | 58.7703i | 0.151930 | − | 0.127484i | −0.563654 | − | 0.826011i | \(-0.690605\pi\) |
0.715584 | + | 0.698526i | \(0.246161\pi\) | |||||||
\(462\) | −682.225 | + | 437.394i | −1.47668 | + | 0.946741i | ||||
\(463\) | −31.3677 | + | 177.895i | −0.0677487 | + | 0.384222i | 0.932014 | + | 0.362423i | \(0.118050\pi\) |
−0.999762 | + | 0.0217989i | \(0.993061\pi\) | |||||||
\(464\) | −370.268 | − | 535.384i | −0.797992 | − | 1.15384i | ||||
\(465\) | 247.633 | − | 151.739i | 0.532545 | − | 0.326321i | ||||
\(466\) | −355.203 | − | 55.1985i | −0.762237 | − | 0.118452i | ||||
\(467\) | 61.6193 | + | 106.728i | 0.131947 | + | 0.228539i | 0.924427 | − | 0.381359i | \(-0.124544\pi\) |
−0.792480 | + | 0.609898i | \(0.791210\pi\) | |||||||
\(468\) | 205.400 | + | 203.047i | 0.438890 | + | 0.433860i | ||||
\(469\) | −292.308 | − | 168.764i | −0.623257 | − | 0.359838i | ||||
\(470\) | 604.307 | − | 750.717i | 1.28576 | − | 1.59727i | ||||
\(471\) | −157.768 | + | 139.572i | −0.334964 | + | 0.296332i | ||||
\(472\) | −88.0671 | + | 773.033i | −0.186583 | + | 1.63778i | ||||
\(473\) | 351.009 | − | 418.316i | 0.742091 | − | 0.884390i | ||||
\(474\) | −272.445 | − | 35.0697i | −0.574779 | − | 0.0739868i | ||||
\(475\) | −159.065 | + | 437.028i | −0.334874 | + | 0.920058i | ||||
\(476\) | 96.6555 | + | 235.275i | 0.203058 | + | 0.494276i | ||||
\(477\) | 489.571 | − | 456.475i | 1.02635 | − | 0.956972i | ||||
\(478\) | −94.0857 | + | 18.5730i | −0.196832 | + | 0.0388556i | ||||
\(479\) | 674.144 | − | 118.870i | 1.40740 | − | 0.248162i | 0.582218 | − | 0.813033i | \(-0.302185\pi\) |
0.825180 | + | 0.564870i | \(0.191074\pi\) | |||||||
\(480\) | 347.931 | − | 542.637i | 0.724855 | − | 1.13049i | ||||
\(481\) | −250.563 | + | 91.1973i | −0.520920 | + | 0.189599i | ||||
\(482\) | −129.650 | + | 235.510i | −0.268984 | + | 0.488611i | ||||
\(483\) | 551.324 | − | 217.152i | 1.14146 | − | 0.449591i | ||||
\(484\) | 510.923 | − | 20.8224i | 1.05563 | − | 0.0430214i | ||||
\(485\) | 99.8740 | 0.205926 | ||||||||
\(486\) | 379.512 | − | 303.590i | 0.780889 | − | 0.624670i | ||||
\(487\) | −172.305 | −0.353808 | −0.176904 | − | 0.984228i | \(-0.556608\pi\) | ||||
−0.176904 | + | 0.984228i | \(0.556608\pi\) | |||||||
\(488\) | −74.5924 | + | 251.830i | −0.152853 | + | 0.516045i | ||||
\(489\) | 534.117 | − | 210.375i | 1.09226 | − | 0.430215i | ||||
\(490\) | 157.459 | − | 286.024i | 0.321344 | − | 0.583723i | ||||
\(491\) | −395.827 | + | 144.069i | −0.806166 | + | 0.293420i | −0.712039 | − | 0.702140i | \(-0.752228\pi\) |
−0.0941269 | + | 0.995560i | \(0.530006\pi\) | |||||||
\(492\) | −780.946 | + | 344.959i | −1.58729 | + | 0.701137i | ||||
\(493\) | 297.557 | − | 52.4673i | 0.603563 | − | 0.106424i | ||||
\(494\) | −71.9524 | − | 364.492i | −0.145653 | − | 0.737838i | ||||
\(495\) | −697.224 | + | 650.091i | −1.40853 | + | 1.31331i | ||||
\(496\) | 222.472 | + | 60.9969i | 0.448532 | + | 0.122978i | ||||
\(497\) | 61.7897 | − | 169.766i | 0.124325 | − | 0.341581i | ||||
\(498\) | −496.932 | − | 63.9661i | −0.997855 | − | 0.128446i | ||||
\(499\) | −385.364 | + | 459.259i | −0.772273 | + | 0.920359i | −0.998557 | − | 0.0537020i | \(-0.982898\pi\) |
0.226284 | + | 0.974061i | \(0.427342\pi\) | |||||||
\(500\) | 28.1933 | + | 128.941i | 0.0563866 | + | 0.257882i | ||||
\(501\) | −50.5619 | + | 44.7306i | −0.100922 | + | 0.0892826i | ||||
\(502\) | −145.898 | − | 117.444i | −0.290634 | − | 0.233952i | ||||
\(503\) | −418.709 | − | 241.742i | −0.832423 | − | 0.480600i | 0.0222583 | − | 0.999752i | \(-0.492914\pi\) |
−0.854682 | + | 0.519152i | \(0.826248\pi\) | |||||||
\(504\) | 551.727 | − | 275.046i | 1.09470 | − | 0.545727i | ||||
\(505\) | 155.796 | + | 269.847i | 0.308507 | + | 0.534350i | ||||
\(506\) | −719.147 | − | 111.756i | −1.42124 | − | 0.220861i | ||||
\(507\) | 267.653 | − | 164.006i | 0.527915 | − | 0.323484i | ||||
\(508\) | 248.761 | + | 79.2283i | 0.489687 | + | 0.155961i | ||||
\(509\) | 76.0045 | − | 431.043i | 0.149321 | − | 0.846843i | −0.814474 | − | 0.580200i | \(-0.802974\pi\) |
0.963795 | − | 0.266643i | \(-0.0859145\pi\) | |||||||
\(510\) | 161.487 | + | 251.879i | 0.316641 | + | 0.493880i | ||||
\(511\) | −278.372 | + | 233.582i | −0.544760 | + | 0.457108i | ||||
\(512\) | 503.423 | − | 93.3217i | 0.983249 | − | 0.182269i | ||||
\(513\) | −623.247 | + | 48.9921i | −1.21491 | + | 0.0955012i | ||||
\(514\) | 72.5622 | − | 212.747i | 0.141172 | − | 0.413904i | ||||
\(515\) | −435.962 | + | 365.816i | −0.846529 | + | 0.710322i | ||||
\(516\) | −299.664 | + | 287.689i | −0.580745 | + | 0.557537i | ||||
\(517\) | −1114.84 | − | 196.576i | −2.15636 | − | 0.380224i | ||||
\(518\) | 11.5904 | + | 569.029i | 0.0223753 | + | 1.09851i | ||||
\(519\) | 18.8519 | + | 720.781i | 0.0363235 | + | 1.38879i | ||||
\(520\) | 296.656 | + | 312.603i | 0.570492 | + | 0.601159i | ||||
\(521\) | −564.224 | + | 325.755i | −1.08296 | + | 0.625249i | −0.931694 | − | 0.363244i | \(-0.881669\pi\) |
−0.151269 | + | 0.988493i | \(0.548336\pi\) | |||||||
\(522\) | −179.188 | − | 710.057i | −0.343273 | − | 1.36026i | ||||
\(523\) | −313.666 | − | 181.095i | −0.599743 | − | 0.346262i | 0.169198 | − | 0.985582i | \(-0.445882\pi\) |
−0.768940 | + | 0.639320i | \(0.779216\pi\) | |||||||
\(524\) | −359.762 | − | 568.346i | −0.686569 | − | 1.08463i | ||||
\(525\) | 163.726 | − | 489.274i | 0.311859 | − | 0.931951i | ||||
\(526\) | 69.2413 | − | 41.8793i | 0.131637 | − | 0.0796185i | ||||
\(527\) | −68.8261 | + | 82.0237i | −0.130600 | + | 0.155643i | ||||
\(528\) | −755.484 | − | 50.6328i | −1.43084 | − | 0.0958955i | ||||
\(529\) | 2.94922 | + | 1.07343i | 0.00557508 | + | 0.00202916i | ||||
\(530\) | 751.878 | − | 657.452i | 1.41864 | − | 1.24048i | ||||
\(531\) | −397.421 | + | 779.862i | −0.748438 | + | 1.46867i | ||||
\(532\) | −785.931 | − | 105.790i | −1.47731 | − | 0.198854i | ||||
\(533\) | −99.1153 | − | 562.111i | −0.185957 | − | 1.05462i | ||||
\(534\) | −558.150 | − | 174.217i | −1.04522 | − | 0.326250i | ||||
\(535\) | 148.840 | − | 54.1732i | 0.278205 | − | 0.101258i | ||||
\(536\) | −125.754 | − | 289.205i | −0.234615 | − | 0.539561i | ||||
\(537\) | −826.596 | − | 123.562i | −1.53929 | − | 0.230097i | ||||
\(538\) | 621.815 | − | 240.773i | 1.15579 | − | 0.447533i | ||||
\(539\) | −383.524 | −0.711547 | ||||||||
\(540\) | 580.456 | − | 434.686i | 1.07492 | − | 0.804974i | ||||
\(541\) | 328.371i | 0.606971i | 0.952836 | + | 0.303485i | \(0.0981503\pi\) | ||||
−0.952836 | + | 0.303485i | \(0.901850\pi\) | |||||||
\(542\) | 580.811 | − | 224.896i | 1.07161 | − | 0.414936i | ||||
\(543\) | 69.6262 | + | 55.3867i | 0.128225 | + | 0.102001i | ||||
\(544\) | −58.1594 | + | 230.426i | −0.106911 | + | 0.423576i | ||||
\(545\) | −367.975 | − | 1011.00i | −0.675184 | − | 1.85505i | ||||
\(546\) | 90.3671 | + | 402.132i | 0.165507 | + | 0.736506i | ||||
\(547\) | −653.614 | + | 115.250i | −1.19491 | + | 0.210694i | −0.735496 | − | 0.677530i | \(-0.763051\pi\) |
−0.459411 | + | 0.888224i | \(0.651939\pi\) | |||||||
\(548\) | 706.368 | + | 95.0809i | 1.28899 | + | 0.173505i | ||||
\(549\) | −177.836 | + | 235.966i | −0.323928 | + | 0.429811i | ||||
\(550\) | −477.039 | + | 417.129i | −0.867343 | + | 0.758416i | ||||
\(551\) | −322.190 | + | 885.210i | −0.584737 | + | 1.60655i | ||||
\(552\) | 534.768 | + | 143.302i | 0.968782 | + | 0.259605i | ||||
\(553\) | −300.290 | − | 251.973i | −0.543019 | − | 0.455647i | ||||
\(554\) | −43.4605 | + | 26.2863i | −0.0784486 | + | 0.0474482i | ||||
\(555\) | 133.455 | + | 656.057i | 0.240460 | + | 1.18208i | ||||
\(556\) | −684.172 | + | 433.080i | −1.23052 | + | 0.778921i | ||||
\(557\) | 114.717 | − | 198.696i | 0.205955 | − | 0.356725i | −0.744481 | − | 0.667643i | \(-0.767303\pi\) |
0.950437 | + | 0.310918i | \(0.100636\pi\) | |||||||
\(558\) | 210.388 | + | 151.941i | 0.377039 | + | 0.272297i | ||||
\(559\) | −138.864 | − | 240.519i | −0.248415 | − | 0.430267i | ||||
\(560\) | 835.934 | − | 383.913i | 1.49274 | − | 0.685558i | ||||
\(561\) | 167.710 | − | 308.860i | 0.298947 | − | 0.550552i | ||||
\(562\) | 1.19354 | + | 58.5966i | 0.00212374 | + | 0.104264i | ||||
\(563\) | 100.148 | − | 567.968i | 0.177883 | − | 1.00882i | −0.756880 | − | 0.653554i | \(-0.773277\pi\) |
0.934763 | − | 0.355271i | \(-0.115611\pi\) | |||||||
\(564\) | 827.101 | + | 239.794i | 1.46649 | + | 0.425167i | ||||
\(565\) | 368.480 | + | 439.137i | 0.652176 | + | 0.777233i | ||||
\(566\) | −197.975 | + | 580.447i | −0.349779 | + | 1.02553i | ||||
\(567\) | 689.755 | − | 72.4095i | 1.21650 | − | 0.127706i | ||||
\(568\) | 140.756 | − | 93.1668i | 0.247810 | − | 0.164026i | ||||
\(569\) | 679.955 | + | 810.339i | 1.19500 | + | 1.42415i | 0.879947 | + | 0.475073i | \(0.157578\pi\) |
0.315054 | + | 0.949074i | \(0.397977\pi\) | |||||||
\(570\) | −931.826 | + | 43.3750i | −1.63478 | + | 0.0760965i | ||||
\(571\) | −642.796 | − | 113.342i | −1.12574 | − | 0.198498i | −0.420379 | − | 0.907348i | \(-0.638103\pi\) |
−0.705359 | + | 0.708851i | \(0.749214\pi\) | |||||||
\(572\) | 153.625 | − | 482.351i | 0.268574 | − | 0.843270i | ||||
\(573\) | −415.689 | + | 765.547i | −0.725461 | + | 1.33603i | ||||
\(574\) | −1203.88 | − | 187.083i | −2.09735 | − | 0.325929i | ||||
\(575\) | 401.266 | − | 231.671i | 0.697854 | − | 0.402906i | ||||
\(576\) | 567.245 | + | 100.044i | 0.984801 | + | 0.173687i | ||||
\(577\) | 328.460 | − | 568.909i | 0.569254 | − | 0.985977i | −0.427386 | − | 0.904069i | \(-0.640565\pi\) |
0.996640 | − | 0.0819080i | \(-0.0261014\pi\) | |||||||
\(578\) | 364.320 | + | 293.267i | 0.630311 | + | 0.507383i | ||||
\(579\) | 168.355 | − | 34.2468i | 0.290769 | − | 0.0591482i | ||||
\(580\) | −233.411 | − | 1067.49i | −0.402432 | − | 1.84051i | ||||
\(581\) | −547.719 | − | 459.591i | −0.942718 | − | 0.791034i | ||||
\(582\) | 34.3900 | + | 82.3529i | 0.0590894 | + | 0.141500i | ||||
\(583\) | −1102.46 | − | 401.263i | −1.89102 | − | 0.688273i | ||||
\(584\) | −338.892 | + | 20.7313i | −0.580294 | + | 0.0354989i | ||||
\(585\) | 189.410 | + | 446.298i | 0.323777 | + | 0.762903i | ||||
\(586\) | 108.406 | + | 549.155i | 0.184993 | + | 0.937125i | ||||
\(587\) | −35.1290 | − | 199.227i | −0.0598450 | − | 0.339398i | 0.940154 | − | 0.340750i | \(-0.110681\pi\) |
−0.999999 | + | 0.00135167i | \(0.999570\pi\) | |||||||
\(588\) | 290.065 | + | 31.3473i | 0.493307 | + | 0.0533117i | ||||
\(589\) | −114.177 | − | 313.699i | −0.193849 | − | 0.532597i | ||||
\(590\) | −629.853 | + | 1144.13i | −1.06755 | + | 1.93921i | ||||
\(591\) | 37.3752 | − | 46.9841i | 0.0632407 | − | 0.0794994i | ||||
\(592\) | −307.534 | + | 433.824i | −0.519483 | + | 0.732811i | ||||
\(593\) | 484.111i | 0.816376i | 0.912898 | + | 0.408188i | \(0.133839\pi\) | ||||
−0.912898 | + | 0.408188i | \(0.866161\pi\) | |||||||
\(594\) | −776.122 | − | 351.060i | −1.30660 | − | 0.591010i | ||||
\(595\) | 426.974i | 0.717603i | ||||||||
\(596\) | 291.825 | − | 11.8931i | 0.489639 | − | 0.0199549i | ||||
\(597\) | −590.571 | − | 88.2802i | −0.989231 | − | 0.147873i | ||||
\(598\) | −178.504 | + | 324.254i | −0.298502 | + | 0.542231i | ||||
\(599\) | 363.928 | + | 999.885i | 0.607560 | + | 1.66926i | 0.735540 | + | 0.677481i | \(0.236928\pi\) |
−0.127980 | + | 0.991777i | \(0.540849\pi\) | |||||||
\(600\) | 394.885 | − | 276.490i | 0.658142 | − | 0.460817i | ||||
\(601\) | −136.847 | − | 776.098i | −0.227699 | − | 1.29134i | −0.857458 | − | 0.514554i | \(-0.827957\pi\) |
0.629759 | − | 0.776791i | \(-0.283154\pi\) | |||||||
\(602\) | −581.584 | + | 114.807i | −0.966086 | + | 0.190710i | ||||
\(603\) | −18.5459 | − | 354.297i | −0.0307560 | − | 0.587558i | ||||
\(604\) | 32.4874 | − | 13.3464i | 0.0537870 | − | 0.0220967i | ||||
\(605\) | 806.606 | + | 293.581i | 1.33323 | + | 0.485257i | ||||
\(606\) | −168.861 | + | 221.382i | −0.278649 | + | 0.365317i | ||||
\(607\) | −9.70394 | − | 8.14258i | −0.0159867 | − | 0.0134145i | 0.634759 | − | 0.772710i | \(-0.281099\pi\) |
−0.650746 | + | 0.759296i | \(0.725544\pi\) | |||||||
\(608\) | −531.499 | − | 516.239i | −0.874176 | − | 0.849078i | ||||
\(609\) | 331.631 | − | 991.037i | 0.544550 | − | 1.62732i | ||||
\(610\) | −276.461 | + | 343.442i | −0.453215 | + | 0.563019i | ||||
\(611\) | −287.871 | + | 498.607i | −0.471147 | + | 0.816051i | ||||
\(612\) | −152.086 | + | 219.887i | −0.248506 | + | 0.359293i | ||||
\(613\) | 223.124 | − | 128.821i | 0.363987 | − | 0.210148i | −0.306841 | − | 0.951761i | \(-0.599272\pi\) |
0.670828 | + | 0.741613i | \(0.265939\pi\) | |||||||
\(614\) | −683.074 | − | 106.150i | −1.11250 | − | 0.172882i | ||||
\(615\) | −1432.64 | + | 37.4705i | −2.32950 | + | 0.0609276i | ||||
\(616\) | −868.599 | − | 642.715i | −1.41006 | − | 1.04337i | ||||
\(617\) | 382.646 | + | 67.4708i | 0.620172 | + | 0.109353i | 0.474902 | − | 0.880039i | \(-0.342484\pi\) |
0.145270 | + | 0.989392i | \(0.453595\pi\) | |||||||
\(618\) | −451.757 | − | 233.518i | −0.730998 | − | 0.377860i | ||||
\(619\) | −70.8929 | − | 84.4869i | −0.114528 | − | 0.136489i | 0.705734 | − | 0.708476i | \(-0.250617\pi\) |
−0.820263 | + | 0.571987i | \(0.806173\pi\) | |||||||
\(620\) | 306.529 | + | 236.624i | 0.494401 | + | 0.381651i | ||||
\(621\) | 507.030 | + | 361.732i | 0.816473 | + | 0.582499i | ||||
\(622\) | 107.470 | − | 315.093i | 0.172781 | − | 0.506581i | ||||
\(623\) | −536.346 | − | 639.192i | −0.860908 | − | 1.02599i | ||||
\(624\) | −155.613 | + | 352.252i | −0.249380 | + | 0.564507i | ||||
\(625\) | −125.670 | + | 712.711i | −0.201072 | + | 1.14034i | ||||
\(626\) | 817.938 | − | 16.6604i | 1.30661 | − | 0.0266140i | ||||
\(627\) | 572.500 | + | 934.300i | 0.913078 | + | 1.49011i | ||||
\(628\) | −248.748 | − | 130.409i | −0.396096 | − | 0.207657i | ||||
\(629\) | −123.415 | − | 213.760i | −0.196208 | − | 0.339841i | ||||
\(630\) | 1032.13 | − | 75.1307i | 1.63830 | − | 0.119255i | ||||
\(631\) | −368.499 | + | 638.259i | −0.583992 | + | 1.01150i | 0.411008 | + | 0.911632i | \(0.365177\pi\) |
−0.995000 | + | 0.0998727i | \(0.968156\pi\) | |||||||
\(632\) | −85.5052 | − | 356.137i | −0.135293 | − | 0.563508i | ||||
\(633\) | 461.957 | − | 408.679i | 0.729790 | − | 0.645623i | ||||
\(634\) | 91.2131 | + | 150.807i | 0.143869 | + | 0.237866i | ||||
\(635\) | 335.719 | + | 281.702i | 0.528692 | + | 0.443625i | ||||
\(636\) | 801.011 | + | 393.591i | 1.25945 | + | 0.618854i | ||||
\(637\) | −66.7133 | + | 183.293i | −0.104730 | + | 0.287744i | ||||
\(638\) | −966.253 | + | 844.905i | −1.51450 | + | 1.32430i | ||||
\(639\) | 185.032 | − | 42.7059i | 0.289565 | − | 0.0668324i | ||||
\(640\) | 841.208 | + | 176.225i | 1.31439 | + | 0.275352i | ||||
\(641\) | 591.672 | − | 104.328i | 0.923046 | − | 0.162758i | 0.308124 | − | 0.951346i | \(-0.400299\pi\) |
0.614922 | + | 0.788588i | \(0.289188\pi\) | |||||||
\(642\) | 95.9201 | + | 104.075i | 0.149408 | + | 0.162110i | ||||
\(643\) | −292.697 | − | 804.178i | −0.455205 | − | 1.25067i | −0.929016 | − | 0.370040i | \(-0.879344\pi\) |
0.473811 | − | 0.880627i | \(-0.342878\pi\) | |||||||
\(644\) | 532.067 | + | 584.042i | 0.826191 | + | 0.906898i | ||||
\(645\) | −648.811 | + | 255.550i | −1.00591 | + | 0.396202i | ||||
\(646\) | 320.715 | − | 124.184i | 0.496463 | − | 0.192235i | ||||
\(647\) | − | 329.693i | − | 0.509572i | −0.966997 | − | 0.254786i | \(-0.917995\pi\) | ||
0.966997 | − | 0.254786i | \(-0.0820050\pi\) | |||||||
\(648\) | 558.299 | + | 328.948i | 0.861572 | + | 0.507636i | ||||
\(649\) | 1534.14 | 2.36385 | ||||||||
\(650\) | 116.374 | + | 300.544i | 0.179036 | + | 0.462376i | ||||
\(651\) | 135.721 | + | 344.579i | 0.208481 | + | 0.529307i | ||||
\(652\) | 515.461 | + | 565.815i | 0.790585 | + | 0.867814i | ||||
\(653\) | 53.4323 | − | 19.4478i | 0.0818258 | − | 0.0297822i | −0.300783 | − | 0.953693i | \(-0.597248\pi\) |
0.382609 | + | 0.923910i | \(0.375026\pi\) | |||||||
\(654\) | 706.934 | − | 651.544i | 1.08094 | − | 0.996244i | ||||
\(655\) | −196.071 | − | 1111.97i | −0.299345 | − | 1.69767i | ||||
\(656\) | −800.231 | − | 809.572i | −1.21986 | − | 1.23410i | ||||
\(657\) | −365.269 | − | 111.699i | −0.555965 | − | 0.170013i | ||||
\(658\) | 808.940 | + | 925.123i | 1.22939 | + | 1.40596i | ||||
\(659\) | 58.5498 | + | 21.3104i | 0.0888465 | + | 0.0323375i | 0.386061 | − | 0.922473i | \(-0.373835\pi\) |
−0.297215 | + | 0.954811i | \(0.596058\pi\) | |||||||
\(660\) | −1140.76 | − | 560.534i | −1.72843 | − | 0.849294i | ||||
\(661\) | 453.255 | − | 540.168i | 0.685711 | − | 0.817199i | −0.305119 | − | 0.952314i | \(-0.598696\pi\) |
0.990830 | + | 0.135116i | \(0.0431406\pi\) | |||||||
\(662\) | 843.133 | − | 509.953i | 1.27361 | − | 0.770322i | ||||
\(663\) | −118.437 | − | 133.877i | −0.178638 | − | 0.201926i | ||||
\(664\) | −155.959 | − | 649.583i | −0.234878 | − | 0.978287i | ||||
\(665\) | −1152.85 | − | 665.601i | −1.73361 | − | 1.00090i | ||||
\(666\) | −495.010 | + | 335.945i | −0.743258 | + | 0.504423i | ||||
\(667\) | 812.774 | − | 469.255i | 1.21855 | − | 0.703531i | ||||
\(668\) | −79.7195 | − | 41.7938i | −0.119341 | − | 0.0625655i | ||||
\(669\) | −634.253 | + | 388.644i | −0.948061 | + | 0.580932i | ||||
\(670\) | −10.7806 | − | 529.273i | −0.0160905 | − | 0.789959i | ||||
\(671\) | 510.021 | + | 89.9304i | 0.760090 | + | 0.134024i | ||||
\(672\) | 604.402 | + | 557.089i | 0.899408 | + | 0.829002i | ||||
\(673\) | 707.566 | − | 593.718i | 1.05136 | − | 0.882197i | 0.0581251 | − | 0.998309i | \(-0.481488\pi\) |
0.993236 | + | 0.116113i | \(0.0370433\pi\) | |||||||
\(674\) | 925.815 | + | 315.770i | 1.37361 | + | 0.468502i | ||||
\(675\) | 525.055 | − | 135.736i | 0.777860 | − | 0.201091i | ||||
\(676\) | 331.309 | + | 255.753i | 0.490102 | + | 0.378333i | ||||
\(677\) | 376.061 | − | 315.553i | 0.555481 | − | 0.466104i | −0.321311 | − | 0.946974i | \(-0.604123\pi\) |
0.876792 | + | 0.480870i | \(0.159679\pi\) | |||||||
\(678\) | −235.218 | + | 455.046i | −0.346929 | + | 0.671159i | ||||
\(679\) | −22.1153 | + | 125.422i | −0.0325704 | + | 0.184716i | ||||
\(680\) | −237.292 | + | 320.689i | −0.348958 | + | 0.471601i | ||||
\(681\) | 19.0059 | + | 726.670i | 0.0279089 | + | 1.06706i | ||||
\(682\) | 69.8475 | − | 449.469i | 0.102416 | − | 0.659045i | ||||
\(683\) | −424.228 | − | 734.784i | −0.621124 | − | 1.07582i | −0.989277 | − | 0.146053i | \(-0.953343\pi\) |
0.368153 | − | 0.929765i | \(-0.379990\pi\) | |||||||
\(684\) | −356.625 | − | 753.418i | −0.521382 | − | 1.10149i | ||||
\(685\) | 1036.15 | + | 598.219i | 1.51262 | + | 0.873313i | ||||
\(686\) | −329.318 | − | 265.092i | −0.480055 | − | 0.386432i | ||||
\(687\) | 584.872 | + | 195.716i | 0.851342 | + | 0.284885i | ||||
\(688\) | −500.617 | − | 236.988i | −0.727640 | − | 0.344459i | ||||
\(689\) | −383.542 | + | 457.088i | −0.556665 | + | 0.663408i | ||||
\(690\) | 738.937 | + | 563.631i | 1.07092 | + | 0.816856i | ||||
\(691\) | 213.637 | − | 586.964i | 0.309171 | − | 0.849442i | −0.683647 | − | 0.729813i | \(-0.739607\pi\) |
0.992819 | − | 0.119629i | \(-0.0381705\pi\) | |||||||
\(692\) | −889.254 | + | 365.322i | −1.28505 | + | 0.527922i | ||||
\(693\) | −661.998 | − | 1019.53i | −0.955264 | − | 1.47118i | ||||
\(694\) | 79.9111 | + | 404.808i | 0.115146 | + | 0.583297i | ||||
\(695\) | −1338.59 | + | 236.029i | −1.92603 | + | 0.339610i | ||||
\(696\) | 799.850 | − | 560.037i | 1.14921 | − | 0.804652i | ||||
\(697\) | 496.503 | − | 180.712i | 0.712343 | − | 0.259272i | ||||
\(698\) | −698.100 | − | 384.309i | −1.00014 | − | 0.550587i | ||||
\(699\) | 79.7153 | − | 533.274i | 0.114042 | − | 0.762910i | ||||
\(700\) | 687.351 | − | 28.0126i | 0.981931 | − | 0.0400180i | ||||
\(701\) | 998.783 | 1.42480 | 0.712399 | − | 0.701775i | \(-0.247609\pi\) | ||||
0.712399 | + | 0.701775i | \(0.247609\pi\) | |||||||
\(702\) | −302.783 | + | 309.857i | −0.431315 | + | 0.441392i | ||||
\(703\) | 769.553 | 1.09467 | ||||||||
\(704\) | −295.192 | − | 965.452i | −0.419307 | − | 1.37138i | ||||
\(705\) | 1131.30 | + | 899.933i | 1.60468 | + | 1.27650i | ||||
\(706\) | −804.145 | − | 442.688i | −1.13902 | − | 0.627037i | ||||
\(707\) | −373.373 | + | 135.897i | −0.528109 | + | 0.192216i | ||||
\(708\) | −1160.29 | − | 125.393i | −1.63883 | − | 0.177109i | ||||
\(709\) | −51.0048 | + | 8.99352i | −0.0719391 | + | 0.0126848i | −0.209502 | − | 0.977808i | \(-0.567184\pi\) |
0.137563 | + | 0.990493i | \(0.456073\pi\) | |||||||
\(710\) | 277.986 | − | 54.8758i | 0.391530 | − | 0.0772898i | ||||
\(711\) | 50.2404 | − | 408.965i | 0.0706617 | − | 0.575197i | ||||
\(712\) | −47.6028 | − | 778.155i | −0.0668579 | − | 1.09291i | ||||
\(713\) | −113.752 | + | 312.530i | −0.159540 | + | 0.438332i | ||||
\(714\) | −352.069 | + | 147.022i | −0.493093 | + | 0.205913i | ||||
\(715\) | 546.223 | − | 650.963i | 0.763948 | − | 0.910438i | ||||
\(716\) | −238.037 | − | 1088.65i | −0.332454 | − | 1.52047i | ||||
\(717\) | −28.6751 | − | 140.965i | −0.0399932 | − | 0.196604i | ||||
\(718\) | −478.576 | + | 594.524i | −0.666540 | + | 0.828028i | ||||
\(719\) | 233.060 | + | 134.557i | 0.324144 | + | 0.187145i | 0.653238 | − | 0.757152i | \(-0.273410\pi\) |
−0.329094 | + | 0.944297i | \(0.606743\pi\) | |||||||
\(720\) | 816.960 | + | 517.180i | 1.13467 | + | 0.718306i | ||||
\(721\) | −362.857 | − | 628.486i | −0.503269 | − | 0.871687i | ||||
\(722\) | −53.7839 | + | 346.100i | −0.0744929 | + | 0.479362i | ||||
\(723\) | −354.384 | − | 192.429i | −0.490158 | − | 0.266154i | ||||
\(724\) | −35.9994 | + | 113.031i | −0.0497230 | + | 0.156120i | ||||
\(725\) | 141.901 | − | 804.762i | 0.195726 | − | 1.11002i | ||||
\(726\) | 35.6649 | + | 766.191i | 0.0491253 | + | 1.05536i | ||||
\(727\) | 11.7221 | − | 9.83600i | 0.0161239 | − | 0.0135296i | −0.634690 | − | 0.772767i | \(-0.718872\pi\) |
0.650814 | + | 0.759237i | \(0.274428\pi\) | |||||||
\(728\) | −458.257 | + | 303.321i | −0.629473 | + | 0.416650i | ||||
\(729\) | 458.669 | + | 566.625i | 0.629175 | + | 0.777263i | ||||
\(730\) | −539.430 | − | 183.985i | −0.738946 | − | 0.252034i | ||||
\(731\) | 196.942 | − | 165.254i | 0.269415 | − | 0.226066i | ||||
\(732\) | −378.386 | − | 109.702i | −0.516920 | − | 0.149866i | ||||
\(733\) | 340.424 | + | 60.0259i | 0.464426 | + | 0.0818908i | 0.400965 | − | 0.916094i | \(-0.368675\pi\) |
0.0634611 | + | 0.997984i | \(0.479786\pi\) | |||||||
\(734\) | 1440.33 | − | 29.3376i | 1.96230 | − | 0.0399695i | ||||
\(735\) | 430.395 | + | 233.703i | 0.585572 | + | 0.317963i | ||||
\(736\) | 75.0388 | + | 734.356i | 0.101955 | + | 0.997767i | ||||
\(737\) | −538.527 | + | 310.919i | −0.730701 | + | 0.421871i | ||||
\(738\) | −524.204 | − | 1168.41i | −0.710304 | − | 1.58321i | ||||
\(739\) | −147.912 | − | 85.3969i | −0.200151 | − | 0.115557i | 0.396575 | − | 0.918002i | \(-0.370199\pi\) |
−0.596726 | + | 0.802445i | \(0.703532\pi\) | |||||||
\(740\) | −754.248 | + | 477.438i | −1.01925 | + | 0.645187i | ||||
\(741\) | 546.105 | − | 111.089i | 0.736983 | − | 0.149917i | ||||
\(742\) | 659.141 | + | 1089.79i | 0.888330 | + | 1.46872i | ||||
\(743\) | −274.368 | + | 326.979i | −0.369270 | + | 0.440079i | −0.918397 | − | 0.395660i | \(-0.870516\pi\) |
0.549127 | + | 0.835739i | \(0.314960\pi\) | |||||||
\(744\) | −89.5640 | + | 334.231i | −0.120382 | + | 0.449235i | ||||
\(745\) | 460.710 | + | 167.685i | 0.618403 | + | 0.225080i | ||||
\(746\) | 518.444 | + | 592.905i | 0.694965 | + | 0.794779i | ||||
\(747\) | 91.6370 | − | 745.940i | 0.122673 | − | 0.998581i | ||||
\(748\) | 464.418 | + | 62.5132i | 0.620880 | + | 0.0835738i | ||||
\(749\) | 35.0730 | + | 198.909i | 0.0468265 | + | 0.265566i | ||||
\(750\) | −193.164 | + | 43.4077i | −0.257552 | + | 0.0578769i | ||||
\(751\) | −117.359 | + | 42.7151i | −0.156270 | + | 0.0568777i | −0.418971 | − | 0.908000i | \(-0.637609\pi\) |
0.262701 | + | 0.964877i | \(0.415387\pi\) | |||||||
\(752\) | 93.4344 | + | 1144.41i | 0.124248 | + | 1.52182i | ||||
\(753\) | 174.898 | − | 219.862i | 0.232268 | − | 0.291982i | ||||
\(754\) | 235.718 | + | 608.760i | 0.312623 | + | 0.807374i | ||||
\(755\) | 58.9575 | 0.0780894 | ||||||||
\(756\) | 417.348 | + | 825.192i | 0.552048 | + | 1.09152i | ||||
\(757\) | 580.749i | 0.767171i | 0.923505 | + | 0.383586i | \(0.125311\pi\) | ||||
−0.923505 | + | 0.383586i | \(0.874689\pi\) | |||||||
\(758\) | −253.547 | − | 654.806i | −0.334495 | − | 0.863860i | ||||
\(759\) | 161.392 | − | 1079.67i | 0.212638 | − | 1.42249i | ||||
\(760\) | −495.969 | − | 1140.62i | −0.652591 | − | 1.50081i | ||||
\(761\) | −384.425 | − | 1056.20i | −0.505158 | − | 1.38791i | −0.886179 | − | 0.463343i | \(-0.846650\pi\) |
0.381021 | − | 0.924566i | \(-0.375572\pi\) | |||||||
\(762\) | −116.683 | + | 373.823i | −0.153127 | + | 0.490581i | ||||
\(763\) | 1351.10 | − | 238.236i | 1.77078 | − | 0.312236i | ||||
\(764\) | −1151.12 | − | 154.947i | −1.50670 | − | 0.202810i | ||||
\(765\) | −376.411 | + | 244.411i | −0.492041 | + | 0.319492i | ||||
\(766\) | 997.924 | + | 1141.25i | 1.30277 | + | 1.48988i | ||||
\(767\) | 266.861 | − | 733.195i | 0.347928 | − | 0.955926i | ||||
\(768\) | 144.347 | + | 754.313i | 0.187952 | + | 0.982178i | ||||
\(769\) | 357.797 | + | 300.227i | 0.465275 | + | 0.390412i | 0.845068 | − | 0.534660i | \(-0.179560\pi\) |
−0.379792 | + | 0.925072i | \(0.624005\pi\) | |||||||
\(770\) | −938.717 | − | 1552.03i | −1.21911 | − | 2.01562i | ||||
\(771\) | 319.744 | + | 106.996i | 0.414714 | + | 0.138776i | ||||
\(772\) | 122.519 | + | 193.553i | 0.158703 | + | 0.250716i | ||||
\(773\) | −496.649 | + | 860.222i | −0.642496 | + | 1.11284i | 0.342378 | + | 0.939562i | \(0.388768\pi\) |
−0.984874 | + | 0.173273i | \(0.944566\pi\) | |||||||
\(774\) | −434.126 | − | 446.994i | −0.560886 | − | 0.577511i | ||||
\(775\) | 144.795 | + | 250.792i | 0.186832 | + | 0.323603i | ||||
\(776\) | −86.3138 | + | 81.9106i | −0.111229 | + | 0.105555i | ||||
\(777\) | −853.429 | + | 22.3213i | −1.09836 | + | 0.0287275i | ||||
\(778\) | 1029.01 | − | 20.9597i | 1.32264 | − | 0.0269405i | ||||
\(779\) | −286.055 | + | 1622.30i | −0.367207 | + | 2.08254i | ||||
\(780\) | −466.323 | + | 447.688i | −0.597850 | + | 0.573959i | ||||
\(781\) | −213.943 | − | 254.968i | −0.273935 | − | 0.326463i | ||||
\(782\) | −324.293 | − | 110.607i | −0.414697 | − | 0.141442i | ||||
\(783\) | 1063.51 | − | 274.937i | 1.35825 | − | 0.351133i | ||||
\(784\) | 98.4999 | + | 376.328i | 0.125638 | + | 0.480010i | ||||
\(785\) | −303.052 | − | 361.163i | −0.386053 | − | 0.460080i | ||||
\(786\) | 849.384 | − | 544.564i | 1.08064 | − | 0.692830i | ||||
\(787\) | 1174.22 | + | 207.046i | 1.49201 | + | 0.263082i | 0.859368 | − | 0.511358i | \(-0.170857\pi\) |
0.632647 | + | 0.774441i | \(0.281969\pi\) | |||||||
\(788\) | 76.2740 | + | 24.2926i | 0.0967944 | + | 0.0308282i | ||||
\(789\) | 63.4186 | + | 103.497i | 0.0803784 | + | 0.131175i | ||||
\(790\) | 94.4096 | − | 607.526i | 0.119506 | − | 0.769020i | ||||
\(791\) | −633.062 | + | 365.499i | −0.800332 | + | 0.462072i | ||||
\(792\) | 69.3946 | − | 1133.65i | 0.0876195 | − | 1.43137i | ||||
\(793\) | 131.697 | − | 228.105i | 0.166074 | − | 0.287648i | ||||
\(794\) | 816.095 | − | 1013.82i | 1.02783 | − | 1.27685i | ||||
\(795\) | 992.684 | + | 1122.10i | 1.24866 | + | 1.41144i | ||||
\(796\) | −170.068 | − | 777.801i | −0.213654 | − | 0.977137i | ||||
\(797\) | 570.978 | + | 479.108i | 0.716409 | + | 0.601139i | 0.926389 | − | 0.376567i | \(-0.122895\pi\) |
−0.209980 | + | 0.977706i | \(0.567340\pi\) | |||||||
\(798\) | 151.866 | − | 1179.79i | 0.190308 | − | 1.47844i | ||||
\(799\) | −500.818 | − | 182.283i | −0.626806 | − | 0.228139i | ||||
\(800\) | 531.820 | + | 360.957i | 0.664774 | + | 0.451197i | ||||
\(801\) | 256.480 | − | 838.722i | 0.320200 | − | 1.04709i | ||||
\(802\) | −962.094 | + | 189.922i | −1.19962 | + | 0.236810i | ||||
\(803\) | 116.254 | + | 659.311i | 0.144775 | + | 0.821060i | ||||
\(804\) | 432.709 | − | 191.136i | 0.538195 | − | 0.237731i | ||||
\(805\) | 453.601 | + | 1246.26i | 0.563479 | + | 1.54815i | ||||
\(806\) | −202.660 | − | 111.566i | −0.251439 | − | 0.138419i | ||||
\(807\) | 366.547 | + | 930.618i | 0.454209 | + | 1.15318i | ||||
\(808\) | −355.955 | − | 105.434i | −0.440539 | − | 0.130488i | ||||
\(809\) | 1534.63i | 1.89695i | 0.316850 | + | 0.948476i | \(0.397375\pi\) | ||||
−0.316850 | + | 0.948476i | \(0.602625\pi\) | |||||||
\(810\) | 657.053 | + | 866.899i | 0.811176 | + | 1.07025i | ||||
\(811\) | − | 29.9304i | − | 0.0369055i | −0.999830 | − | 0.0184528i | \(-0.994126\pi\) | ||
0.999830 | − | 0.0184528i | \(-0.00587403\pi\) | |||||||
\(812\) | 1392.25 | − | 56.7403i | 1.71459 | − | 0.0698772i | ||||
\(813\) | 342.376 | + | 869.251i | 0.421126 | + | 1.06919i | ||||
\(814\) | 918.566 | + | 505.677i | 1.12846 | + | 0.621225i | ||||
\(815\) | 439.444 | + | 1207.36i | 0.539195 | + | 1.48143i | ||||
\(816\) | −346.137 | − | 85.2388i | −0.424188 | − | 0.104459i | ||||
\(817\) | 139.187 | + | 789.367i | 0.170363 | + | 0.966177i | ||||
\(818\) | 4.57450 | + | 23.1732i | 0.00559230 | + | 0.0283291i | ||||
\(819\) | −602.404 | + | 139.037i | −0.735536 | + | 0.169764i | ||||
\(820\) | −726.123 | − | 1767.50i | −0.885515 | − | 2.15549i | ||||
\(821\) | −318.883 | − | 116.064i | −0.388408 | − | 0.141369i | 0.140432 | − | 0.990090i | \(-0.455151\pi\) |
−0.528840 | + | 0.848721i | \(0.677373\pi\) | |||||||
\(822\) | −136.492 | + | 1060.36i | −0.166048 | + | 1.28998i | ||||
\(823\) | 690.346 | + | 579.269i | 0.838816 | + | 0.703850i | 0.957297 | − | 0.289106i | \(-0.0933580\pi\) |
−0.118481 | + | 0.992956i | \(0.537802\pi\) | |||||||
\(824\) | 76.7504 | − | 673.698i | 0.0931437 | − | 0.817594i | ||||
\(825\) | −629.821 | − | 711.928i | −0.763419 | − | 0.862943i | ||||
\(826\) | −1297.33 | − | 1044.32i | −1.57062 | − | 1.26431i | ||||
\(827\) | 226.647 | − | 392.564i | 0.274059 | − | 0.474684i | −0.695838 | − | 0.718198i | \(-0.744967\pi\) |
0.969897 | + | 0.243515i | \(0.0783003\pi\) | |||||||
\(828\) | −210.310 | + | 803.381i | −0.253998 | + | 0.970267i | ||||
\(829\) | 393.501 | − | 227.188i | 0.474670 | − | 0.274051i | −0.243523 | − | 0.969895i | \(-0.578303\pi\) |
0.718193 | + | 0.695844i | \(0.244970\pi\) | |||||||
\(830\) | 172.200 | − | 1108.11i | 0.207470 | − | 1.33507i | ||||
\(831\) | −39.8058 | − | 64.9616i | −0.0479010 | − | 0.0781729i | ||||
\(832\) | −512.755 | − | 26.8607i | −0.616293 | − | 0.0322845i | ||||
\(833\) | −177.819 | − | 31.3543i | −0.213468 | − | 0.0376402i | ||||
\(834\) | −655.544 | − | 1022.48i | −0.786024 | − | 1.22600i | ||||
\(835\) | −97.1229 | − | 115.747i | −0.116315 | − | 0.138619i | ||||
\(836\) | −892.761 | + | 1156.51i | −1.06790 | + | 1.38338i | ||||
\(837\) | −226.083 | + | 316.895i | −0.270112 | + | 0.378608i | ||||
\(838\) | −359.994 | − | 122.784i | −0.429587 | − | 0.146520i | ||||
\(839\) | −347.757 | − | 414.440i | −0.414490 | − | 0.493969i | 0.517892 | − | 0.855446i | \(-0.326717\pi\) |
−0.932381 | + | 0.361477i | \(0.882273\pi\) | |||||||
\(840\) | 583.111 | + | 1250.55i | 0.694179 | + | 1.48875i | ||||
\(841\) | 141.386 | − | 801.842i | 0.168117 | − | 0.953439i | ||||
\(842\) | 13.2095 | + | 648.518i | 0.0156882 | + | 0.770211i | ||||
\(843\) | −87.8831 | + | 2.29857i | −0.104250 | + | 0.00272665i | ||||
\(844\) | 728.354 | + | 381.847i | 0.862979 | + | 0.452426i | ||||
\(845\) | 351.290 | + | 608.453i | 0.415728 | + | 0.720062i | ||||
\(846\) | −352.511 | + | 1242.71i | −0.416680 | + | 1.46892i | ||||
\(847\) | −547.288 | + | 947.930i | −0.646148 | + | 1.11916i | ||||
\(848\) | −110.591 | + | 1184.83i | −0.130414 | + | 1.39721i | ||||
\(849\) | −872.373 | − | 291.922i | −1.02753 | − | 0.343842i | ||||
\(850\) | −255.278 | + | 154.400i | −0.300327 | + | 0.181648i | ||||
\(851\) | −587.315 | − | 492.816i | −0.690147 | − | 0.579102i | ||||
\(852\) | 140.969 | + | 210.323i | 0.165456 | + | 0.246858i | ||||
\(853\) | −67.8779 | + | 186.493i | −0.0795755 | + | 0.218632i | −0.973100 | − | 0.230382i | \(-0.926002\pi\) |
0.893525 | + | 0.449014i | \(0.148225\pi\) | |||||||
\(854\) | −370.078 | − | 423.230i | −0.433346 | − | 0.495585i | ||||
\(855\) | −73.1444 | − | 1397.34i | −0.0855490 | − | 1.63432i | ||||
\(856\) | −84.2017 | + | 168.887i | −0.0983664 | + | 0.197298i | ||||
\(857\) | 919.735 | − | 162.174i | 1.07320 | − | 0.189235i | 0.390995 | − | 0.920393i | \(-0.372131\pi\) |
0.682208 | + | 0.731158i | \(0.261020\pi\) | |||||||
\(858\) | 724.846 | + | 226.249i | 0.844809 | + | 0.263693i | ||||
\(859\) | −450.052 | − | 1236.51i | −0.523925 | − | 1.43947i | −0.866116 | − | 0.499843i | \(-0.833391\pi\) |
0.342191 | − | 0.939630i | \(-0.388831\pi\) | |||||||
\(860\) | −626.149 | − | 687.315i | −0.728080 | − | 0.799203i | ||||
\(861\) | 270.177 | − | 1807.41i | 0.313795 | − | 2.09920i | ||||
\(862\) | −80.3115 | − | 207.411i | −0.0931688 | − | 0.240616i | ||||
\(863\) | − | 224.521i | − | 0.260163i | −0.991503 | − | 0.130082i | \(-0.958476\pi\) | ||
0.991503 | − | 0.130082i | \(-0.0415239\pi\) | |||||||
\(864\) | −145.143 | + | 851.722i | −0.167989 | + | 0.985789i | ||||
\(865\) | −1613.80 | −1.86567 | ||||||||
\(866\) | −798.302 | + | 309.110i | −0.921826 | + | 0.356940i | ||||
\(867\) | −436.733 | + | 549.014i | −0.503729 | + | 0.633234i | ||||
\(868\) | −365.028 | + | 332.543i | −0.420539 | + | 0.383114i | ||||
\(869\) | −678.640 | + | 247.005i | −0.780944 | + | 0.284240i | ||||
\(870\) | 1599.19 | − | 359.370i | 1.83815 | − | 0.413069i | ||||
\(871\) | 54.9181 | + | 311.456i | 0.0630517 | + | 0.357584i | ||||
\(872\) | 1147.18 | + | 571.945i | 1.31557 | + | 0.655901i | ||||
\(873\) | −123.229 | + | 52.2985i | −0.141156 | + | 0.0599067i | ||||
\(874\) | 804.180 | − | 703.186i | 0.920114 | − | 0.804560i | ||||
\(875\) | −265.490 | − | 96.6304i | −0.303417 | − | 0.110435i | ||||
\(876\) | −34.0362 | − | 508.149i | −0.0388541 | − | 0.580079i | ||||
\(877\) | −482.550 | + | 575.081i | −0.550228 | + | 0.655737i | −0.967448 | − | 0.253069i | \(-0.918560\pi\) |
0.417220 | + | 0.908806i | \(0.363004\pi\) | |||||||
\(878\) | −461.122 | − | 762.398i | −0.525196 | − | 0.868335i | ||||
\(879\) | −822.778 | + | 167.370i | −0.936039 | + | 0.190409i | ||||
\(880\) | 157.498 | − | 1687.38i | 0.178975 | − | 1.91748i | ||||
\(881\) | −120.900 | − | 69.8014i | −0.137230 | − | 0.0792297i | 0.429813 | − | 0.902918i | \(-0.358579\pi\) |
−0.567043 | + | 0.823688i | \(0.691913\pi\) | |||||||
\(882\) | −44.5040 | + | 435.362i | −0.0504581 | + | 0.493608i | ||||
\(883\) | 378.614 | − | 218.593i | 0.428782 | − | 0.247557i | −0.270046 | − | 0.962847i | \(-0.587039\pi\) |
0.698827 | + | 0.715290i | \(0.253706\pi\) | |||||||
\(884\) | 110.661 | − | 211.080i | 0.125182 | − | 0.238779i | ||||
\(885\) | −1721.63 | − | 934.840i | −1.94535 | − | 1.05632i | ||||
\(886\) | −942.860 | + | 19.2049i | −1.06418 | + | 0.0216760i | ||||
\(887\) | −830.031 | − | 146.357i | −0.935773 | − | 0.165002i | −0.315089 | − | 0.949062i | \(-0.602034\pi\) |
−0.620685 | + | 0.784060i | \(0.713145\pi\) | |||||||
\(888\) | −653.393 | − | 457.530i | −0.735803 | − | 0.515237i | ||||
\(889\) | −428.101 | + | 359.219i | −0.481553 | + | 0.404071i | ||||
\(890\) | 422.462 | − | 1238.63i | 0.474677 | − | 1.39172i | ||||
\(891\) | 519.848 | − | 1167.21i | 0.583444 | − | 1.31000i | ||||
\(892\) | −785.098 | − | 606.054i | −0.880155 | − | 0.679433i | ||||
\(893\) | 1272.89 | − | 1068.08i | 1.42541 | − | 1.19606i | ||||
\(894\) | 20.3708 | + | 437.626i | 0.0227861 | + | 0.489515i | ||||
\(895\) | 324.834 | − | 1842.22i | 0.362943 | − | 2.05835i | ||||
\(896\) | −407.574 | + | 1017.37i | −0.454882 | + | 1.13546i | ||||
\(897\) | −487.922 | − | 264.940i | −0.543948 | − | 0.295362i | ||||
\(898\) | −396.660 | − | 61.6411i | −0.441715 | − | 0.0686426i | ||||
\(899\) | 293.286 | + | 507.986i | 0.326236 | + | 0.565056i | ||||
\(900\) | 418.154 | + | 589.920i | 0.464615 | + | 0.655466i | ||||
\(901\) | −478.347 | − | 276.173i | −0.530906 | − | 0.306519i | ||||
\(902\) | −1407.46 | + | 1748.46i | −1.56038 | + | 1.93843i | ||||
\(903\) | −177.253 | − | 871.365i | −0.196294 | − | 0.964967i | ||||
\(904\) | −678.603 | − | 77.3093i | −0.750667 | − | 0.0855191i | ||||
\(905\) | −127.999 | + | 152.543i | −0.141435 | + | 0.168555i | ||||
\(906\) | 20.3011 | + | 48.6144i | 0.0224074 | + | 0.0536583i | ||||
\(907\) | −210.425 | + | 578.137i | −0.232001 | + | 0.637416i | −0.999995 | − | 0.00303969i | \(-0.999032\pi\) |
0.767995 | + | 0.640456i | \(0.221255\pi\) | |||||||
\(908\) | −896.519 | + | 368.307i | −0.987356 | + | 0.405624i | ||||
\(909\) | −333.532 | − | 251.367i | −0.366922 | − | 0.276531i | ||||
\(910\) | −905.032 | + | 178.658i | −0.994541 | + | 0.196327i | ||||
\(911\) | 63.3790 | − | 11.1754i | 0.0695708 | − | 0.0122672i | −0.138754 | − | 0.990327i | \(-0.544310\pi\) |
0.208325 | + | 0.978060i | \(0.433199\pi\) | |||||||
\(912\) | 769.735 | − | 801.713i | 0.844008 | − | 0.879071i | ||||
\(913\) | −1237.82 | + | 450.529i | −1.35577 | + | 0.493460i | ||||
\(914\) | 397.108 | − | 721.349i | 0.434473 | − | 0.789222i | ||||
\(915\) | −517.552 | − | 411.706i | −0.565631 | − | 0.449952i | ||||
\(916\) | 33.4859 | + | 821.651i | 0.0365567 | + | 0.896999i | ||||
\(917\) | 1439.84 | 1.57016 | ||||||||
\(918\) | −331.145 | − | 226.218i | −0.360724 | − | 0.246424i | ||||
\(919\) | 471.159 | 0.512687 | 0.256344 | − | 0.966586i | \(-0.417482\pi\) | ||||
0.256344 | + | 0.966586i | \(0.417482\pi\) | |||||||
\(920\) | −351.923 | + | 1188.12i | −0.382525 | + | 1.29144i | ||||
\(921\) | 153.297 | − | 1025.52i | 0.166446 | − | 1.11348i | ||||
\(922\) | −88.1864 | + | 160.191i | −0.0956468 | + | 0.173743i | ||||
\(923\) | −159.069 | + | 57.8964i | −0.172339 | + | 0.0627263i | ||||
\(924\) | 956.521 | − | 1308.45i | 1.03520 | − | 1.41607i | ||||
\(925\) | −657.424 | + | 115.922i | −0.710729 | + | 0.125321i | ||||
\(926\) | −69.9678 | − | 354.438i | −0.0755592 | − | 0.382763i | ||||
\(927\) | 346.352 | − | 679.649i | 0.373626 | − | 0.733171i | ||||
\(928\) | 1077.21 | + | 731.128i | 1.16079 | + | 0.787854i | ||||
\(929\) | 394.793 | − | 1084.68i | 0.424965 | − | 1.16758i | −0.523866 | − | 0.851801i | \(-0.675511\pi\) |
0.948832 | − | 0.315782i | \(-0.102267\pi\) | |||||||
\(930\) | −352.271 | + | 461.838i | −0.378786 | + | 0.496600i | ||||
\(931\) | 361.857 | − | 431.244i | 0.388675 | − | 0.463205i | ||||
\(932\) | 702.339 | − | 153.568i | 0.753582 | − | 0.164773i | ||||
\(933\) | 473.564 | + | 158.469i | 0.507571 | + | 0.169849i | ||||
\(934\) | −192.000 | − | 154.554i | −0.205567 | − | 0.165476i | ||||
\(935\) | 681.239 | + | 393.313i | 0.728597 | + | 0.420656i | ||||
\(936\) | −529.720 | − | 230.361i | −0.565940 | − | 0.246112i | ||||
\(937\) | 417.800 | + | 723.650i | 0.445891 | + | 0.772306i | 0.998114 | − | 0.0613908i | \(-0.0195536\pi\) |
−0.552223 | + | 0.833697i | \(0.686220\pi\) | |||||||
\(938\) | 667.049 | + | 103.659i | 0.711140 | + | 0.110511i | ||||
\(939\) | 32.0852 | + | 1226.74i | 0.0341696 | + | 1.30643i | ||||
\(940\) | −584.926 | + | 1836.55i | −0.622261 | + | 1.95378i | ||||
\(941\) | −101.798 | + | 577.324i | −0.108181 | + | 0.613522i | 0.881722 | + | 0.471770i | \(0.156385\pi\) |
−0.989902 | + | 0.141752i | \(0.954726\pi\) | |||||||
\(942\) | 193.452 | − | 374.247i | 0.205363 | − | 0.397290i | ||||
\(943\) | 1257.22 | − | 1054.93i | 1.33321 | − | 1.11870i | ||||
\(944\) | −394.011 | − | 1505.36i | −0.417385 | − | 1.59466i | ||||
\(945\) | 121.647 | + | 1547.52i | 0.128727 | + | 1.63759i | ||||
\(946\) | −352.559 | + | 1033.68i | −0.372684 | + | 1.09268i | ||||
\(947\) | −743.785 | + | 624.110i | −0.785412 | + | 0.659039i | −0.944605 | − | 0.328208i | \(-0.893555\pi\) |
0.159193 | + | 0.987247i | \(0.449111\pi\) | |||||||
\(948\) | 533.455 | − | 131.345i | 0.562716 | − | 0.138549i | ||||
\(949\) | 335.319 | + | 59.1259i | 0.353340 | + | 0.0623033i | ||||
\(950\) | −18.9421 | − | 929.957i | −0.0199390 | − | 0.978902i | ||||
\(951\) | −225.416 | + | 138.125i | −0.237030 | + | 0.145242i | ||||
\(952\) | −350.178 | − | 369.002i | −0.367834 | − | 0.387607i | ||||
\(953\) | −902.774 | + | 521.217i | −0.947297 | + | 0.546922i | −0.892240 | − | 0.451561i | \(-0.850867\pi\) |
−0.0550568 | + | 0.998483i | \(0.517534\pi\) | |||||||
\(954\) | −583.428 | + | 1204.91i | −0.611560 | + | 1.26301i | ||||
\(955\) | −1688.54 | − | 974.876i | −1.76810 | − | 1.02081i | ||||
\(956\) | 162.063 | − | 102.586i | 0.169522 | − | 0.107307i | ||||
\(957\) | −1275.72 | − | 1442.03i | −1.33304 | − | 1.50682i | ||||
\(958\) | −1171.48 | + | 708.547i | −1.22284 | + | 0.739610i | ||||
\(959\) | −980.681 | + | 1168.73i | −1.02261 | + | 1.21870i | ||||
\(960\) | −257.036 | + | 1263.32i | −0.267746 | + | 1.31596i | ||||
\(961\) | 707.712 | + | 257.586i | 0.736433 | + | 0.268040i | ||||
\(962\) | 401.455 | − | 351.038i | 0.417313 | − | 0.364904i | ||||
\(963\) | −155.277 | + | 144.780i | −0.161243 | + | 0.150343i | ||||
\(964\) | 71.7274 | − | 532.872i | 0.0744060 | − | 0.552772i | ||||
\(965\) | 66.7729 | + | 378.688i | 0.0691947 | + | 0.392423i | ||||
\(966\) | −871.434 | + | 803.154i | −0.902105 | + | 0.831422i | ||||
\(967\) | 1126.08 | − | 409.861i | 1.16451 | − | 0.423848i | 0.313805 | − | 0.949488i | \(-0.398396\pi\) |
0.850707 | + | 0.525640i | \(0.176174\pi\) | |||||||
\(968\) | −937.867 | + | 407.809i | −0.968871 | + | 0.421290i | ||||
\(969\) | 189.055 | + | 479.987i | 0.195103 | + | 0.495343i | ||||
\(970\) | −186.272 | + | 72.1261i | −0.192033 | + | 0.0743569i | ||||
\(971\) | −16.5428 | −0.0170368 | −0.00851841 | − | 0.999964i | \(-0.502712\pi\) | ||||
−0.00851841 | + | 0.999964i | \(0.502712\pi\) | |||||||
\(972\) | −488.571 | + | 840.287i | −0.502645 | + | 0.864493i | ||||
\(973\) | − | 1733.27i | − | 1.78136i | ||||||
\(974\) | 321.360 | − | 124.434i | 0.329938 | − | 0.127755i | ||||
\(975\) | −449.800 | + | 177.165i | −0.461333 | + | 0.181707i | ||||
\(976\) | −42.7448 | − | 523.548i | −0.0437959 | − | 0.536422i | ||||
\(977\) | −470.579 | − | 1292.91i | −0.481657 | − | 1.32334i | −0.908072 | − | 0.418815i | \(-0.862446\pi\) |
0.426414 | − | 0.904528i | \(-0.359777\pi\) | |||||||
\(978\) | −844.236 | + | 778.087i | −0.863227 | + | 0.795590i | ||||
\(979\) | −1513.90 | + | 266.941i | −1.54637 | + | 0.272667i | ||||
\(980\) | −87.1120 | + | 647.166i | −0.0888898 | + | 0.660374i | ||||
\(981\) | 983.431 | + | 1054.73i | 1.00248 | + | 1.07516i | ||||
\(982\) | 634.201 | − | 554.554i | 0.645826 | − | 0.564719i | ||||
\(983\) | −222.764 | + | 612.038i | −0.226616 | + | 0.622623i | −0.999935 | − | 0.0113944i | \(-0.996373\pi\) |
0.773319 | + | 0.634017i | \(0.218595\pi\) | |||||||
\(984\) | 1207.40 | − | 1207.35i | 1.22703 | − | 1.22698i | ||||
\(985\) | 102.937 | + | 86.3741i | 0.104504 | + | 0.0876895i | ||||
\(986\) | −517.072 | + | 312.742i | −0.524414 | + | 0.317182i | ||||
\(987\) | −1380.64 | + | 1221.41i | −1.39883 | + | 1.23750i | ||||
\(988\) | 397.422 | + | 627.839i | 0.402249 | + | 0.635465i | ||||
\(989\) | 399.279 | − | 691.571i | 0.403719 | − | 0.699263i | ||||
\(990\) | 830.891 | − | 1715.98i | 0.839284 | − | 1.73331i | ||||
\(991\) | −345.174 | − | 597.859i | −0.348309 | − | 0.603289i | 0.637640 | − | 0.770334i | \(-0.279911\pi\) |
−0.985949 | + | 0.167045i | \(0.946577\pi\) | |||||||
\(992\) | −458.974 | + | 46.8995i | −0.462676 | + | 0.0472777i | ||||
\(993\) | 772.231 | + | 1260.25i | 0.777675 | + | 1.26914i | ||||
\(994\) | 7.35815 | + | 361.247i | 0.00740257 | + | 0.363427i | ||||
\(995\) | 232.081 | − | 1316.20i | 0.233247 | − | 1.32281i | ||||
\(996\) | 973.005 | − | 239.569i | 0.976913 | − | 0.240531i | ||||
\(997\) | −105.594 | − | 125.842i | −0.105912 | − | 0.126221i | 0.710484 | − | 0.703713i | \(-0.248476\pi\) |
−0.816396 | + | 0.577492i | \(0.804031\pi\) | |||||||
\(998\) | 387.066 | − | 1134.85i | 0.387842 | − | 1.13712i | ||||
\(999\) | −508.204 | − | 739.589i | −0.508712 | − | 0.740329i |
(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 | 216.3.x.a.5.9 | ✓ | 420 | |
8.5 | even | 2 | inner | 216.3.x.a.5.48 | yes | 420 | |
27.11 | odd | 18 | inner | 216.3.x.a.173.48 | yes | 420 | |
216.173 | odd | 18 | inner | 216.3.x.a.173.9 | yes | 420 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.3.x.a.5.9 | ✓ | 420 | 1.1 | even | 1 | trivial | |
216.3.x.a.5.48 | yes | 420 | 8.5 | even | 2 | inner | |
216.3.x.a.173.9 | yes | 420 | 216.173 | odd | 18 | inner | |
216.3.x.a.173.48 | yes | 420 | 27.11 | odd | 18 | inner |