Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,3,Mod(35,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 20]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.35");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.k (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: | \(11.2806829445\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 35.1 | ||
Character | \(\chi\) | \(=\) | 414.35 |
Dual form | 414.3.k.a.71.1 |
$q$-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 \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{10}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.764582 | − | 1.18971i | −0.382291 | − | 0.594856i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.830830 | + | 1.81926i | −0.207708 | + | 0.454816i | ||||
\(5\) | −1.90263 | − | 6.47977i | −0.380526 | − | 1.29595i | −0.897902 | − | 0.440196i | \(-0.854909\pi\) |
0.517375 | − | 0.855759i | \(-0.326909\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −7.74127 | − | 8.93390i | −1.10590 | − | 1.27627i | −0.957843 | − | 0.287292i | \(-0.907245\pi\) |
−0.148053 | − | 0.988979i | \(-0.547301\pi\) | |||||||
\(8\) | 2.79964 | − | 0.402527i | 0.349955 | − | 0.0503159i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −6.25434 | + | 7.21790i | −0.625434 | + | 0.721790i | ||||
\(11\) | −1.39544 | + | 2.17135i | −0.126858 | + | 0.197395i | −0.898873 | − | 0.438209i | \(-0.855613\pi\) |
0.772015 | + | 0.635605i | \(0.219249\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −15.9554 | + | 18.4135i | −1.22733 | + | 1.41642i | −0.349856 | + | 0.936803i | \(0.613770\pi\) |
−0.877478 | + | 0.479616i | \(0.840776\pi\) | |||||||
\(14\) | −4.70994 | + | 16.0406i | −0.336424 | + | 1.14576i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.61944 | − | 3.02300i | −0.163715 | − | 0.188937i | ||||
\(17\) | 17.1606 | − | 7.83698i | 1.00945 | − | 0.460999i | 0.159123 | − | 0.987259i | \(-0.449133\pi\) |
0.850324 | + | 0.526260i | \(0.176406\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.09911 | − | 11.1655i | 0.268374 | − | 0.587658i | −0.726682 | − | 0.686974i | \(-0.758938\pi\) |
0.995056 | + | 0.0993168i | \(0.0316657\pi\) | |||||||
\(20\) | 13.3692 | + | 1.92220i | 0.668459 | + | 0.0961099i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.65021 | 0.165919 | ||||||||
\(23\) | 21.7442 | + | 7.49613i | 0.945398 | + | 0.325919i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −17.3361 | + | 11.1412i | −0.693443 | + | 0.445649i | ||||
\(26\) | 34.1059 | + | 4.90369i | 1.31176 | + | 0.188603i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 22.6848 | − | 6.66086i | 0.810172 | − | 0.237888i | ||||
\(29\) | −24.1659 | + | 11.0362i | −0.833306 | + | 0.380558i | −0.785927 | − | 0.618319i | \(-0.787814\pi\) |
−0.0473784 | + | 0.998877i | \(0.515087\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.15642 | + | 35.8637i | 0.166336 | + | 1.15689i | 0.886378 | + | 0.462962i | \(0.153213\pi\) |
−0.720042 | + | 0.693931i | \(0.755877\pi\) | |||||||
\(32\) | −1.59372 | + | 5.42771i | −0.0498038 | + | 0.169616i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −22.4444 | − | 14.4242i | −0.660130 | − | 0.424240i | ||||
\(35\) | −43.1608 | + | 67.1596i | −1.23317 | + | 1.91885i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −44.6329 | − | 13.1054i | −1.20629 | − | 0.354200i | −0.384038 | − | 0.923317i | \(-0.625467\pi\) |
−0.822256 | + | 0.569118i | \(0.807285\pi\) | |||||||
\(38\) | −17.1824 | + | 2.47046i | −0.452169 | + | 0.0650120i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −7.93497 | − | 17.3751i | −0.198374 | − | 0.434379i | ||||
\(41\) | −4.50009 | − | 15.3259i | −0.109758 | − | 0.373802i | 0.886234 | − | 0.463237i | \(-0.153312\pi\) |
−0.995993 | + | 0.0894347i | \(0.971494\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.512794 | + | 3.56656i | −0.0119254 | + | 0.0829432i | −0.994915 | − | 0.100718i | \(-0.967886\pi\) |
0.982990 | + | 0.183661i | \(0.0587950\pi\) | |||||||
\(44\) | −2.79088 | − | 4.34270i | −0.0634292 | − | 0.0986977i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.70694 | − | 31.6007i | −0.167542 | − | 0.686971i | ||||
\(47\) | 79.2879i | 1.68698i | 0.537147 | + | 0.843489i | \(0.319502\pi\) | ||||
−0.537147 | + | 0.843489i | \(0.680498\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −12.9139 | + | 89.8183i | −0.263549 | + | 1.83303i | ||||
\(50\) | 26.5097 | + | 12.1066i | 0.530194 | + | 0.242131i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −20.2428 | − | 44.3254i | −0.389284 | − | 0.852412i | ||||
\(53\) | 49.7226 | − | 43.0849i | 0.938162 | − | 0.812922i | −0.0443699 | − | 0.999015i | \(-0.514128\pi\) |
0.982532 | + | 0.186093i | \(0.0595826\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 16.7249 | + | 4.91086i | 0.304088 | + | 0.0892884i | ||||
\(56\) | −25.2689 | − | 21.8956i | −0.451230 | − | 0.390993i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 31.6067 | + | 20.3124i | 0.544942 | + | 0.350213i | ||||
\(59\) | −38.0838 | − | 32.9998i | −0.645489 | − | 0.559319i | 0.269398 | − | 0.963029i | \(-0.413175\pi\) |
−0.914887 | + | 0.403710i | \(0.867721\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.442839 | + | 3.08002i | 0.00725966 | + | 0.0504921i | 0.993129 | − | 0.117023i | \(-0.0373350\pi\) |
−0.985870 | + | 0.167515i | \(0.946426\pi\) | |||||||
\(62\) | 38.7249 | − | 33.5554i | 0.624596 | − | 0.541215i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.67594 | − | 2.25386i | 0.119937 | − | 0.0352166i | ||||
\(65\) | 149.672 | + | 68.3530i | 2.30265 | + | 1.05158i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −59.6258 | + | 38.3192i | −0.889938 | + | 0.571928i | −0.903790 | − | 0.427976i | \(-0.859227\pi\) |
0.0138524 | + | 0.999904i | \(0.495590\pi\) | |||||||
\(68\) | 37.7309i | 0.554866i | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 112.901 | 1.61287 | ||||||||
\(71\) | −55.4188 | − | 86.2333i | −0.780546 | − | 1.21455i | −0.972444 | − | 0.233138i | \(-0.925101\pi\) |
0.191898 | − | 0.981415i | \(-0.438536\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.255877 | − | 0.560292i | 0.00350516 | − | 0.00767523i | −0.907871 | − | 0.419249i | \(-0.862293\pi\) |
0.911376 | + | 0.411574i | \(0.135021\pi\) | |||||||
\(74\) | 18.5338 | + | 63.1204i | 0.250457 | + | 0.852979i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 16.0765 | + | 18.5533i | 0.211533 | + | 0.244122i | ||||
\(77\) | 30.2011 | − | 4.34227i | 0.392222 | − | 0.0563931i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −89.4179 | + | 103.194i | −1.13187 | + | 1.30625i | −0.185693 | + | 0.982608i | \(0.559453\pi\) |
−0.946179 | + | 0.323642i | \(0.895093\pi\) | |||||||
\(80\) | −14.6045 | + | 22.7250i | −0.182556 | + | 0.284063i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −14.7927 | + | 17.0717i | −0.180399 | + | 0.208192i | ||||
\(83\) | −8.41661 | + | 28.6644i | −0.101405 | + | 0.345354i | −0.994530 | − | 0.104456i | \(-0.966690\pi\) |
0.893125 | + | 0.449809i | \(0.148508\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −83.4322 | − | 96.2858i | −0.981555 | − | 1.13277i | ||||
\(86\) | 4.63525 | − | 2.11685i | 0.0538983 | − | 0.0246145i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.03270 | + | 6.64070i | −0.0344626 | + | 0.0754625i | ||||
\(89\) | −139.890 | − | 20.1131i | −1.57180 | − | 0.225990i | −0.699379 | − | 0.714751i | \(-0.746540\pi\) |
−0.872418 | + | 0.488760i | \(0.837449\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 288.019 | 3.16504 | ||||||||
\(92\) | −31.7031 | + | 33.3303i | −0.344599 | + | 0.362286i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 94.3298 | − | 60.6221i | 1.00351 | − | 0.644916i | ||||
\(95\) | −82.0516 | − | 11.7972i | −0.863701 | − | 0.124181i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 162.707 | − | 47.7750i | 1.67739 | − | 0.492525i | 0.701844 | − | 0.712331i | \(-0.252360\pi\) |
0.975544 | + | 0.219805i | \(0.0705422\pi\) | |||||||
\(98\) | 116.732 | − | 53.3095i | 1.19114 | − | 0.543975i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −5.86549 | − | 40.7954i | −0.0586549 | − | 0.407954i | ||||
\(101\) | 8.40929 | − | 28.6394i | 0.0832603 | − | 0.283558i | −0.907330 | − | 0.420419i | \(-0.861883\pi\) |
0.990590 | + | 0.136861i | \(0.0437012\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −47.2928 | − | 30.3933i | −0.459154 | − | 0.295080i | 0.290543 | − | 0.956862i | \(-0.406164\pi\) |
−0.749696 | + | 0.661782i | \(0.769801\pi\) | |||||||
\(104\) | −37.2573 | + | 57.9735i | −0.358243 | + | 0.557437i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −89.2756 | − | 26.2137i | −0.842223 | − | 0.247299i | ||||
\(107\) | 12.6115 | − | 1.81327i | 0.117865 | − | 0.0169464i | −0.0831299 | − | 0.996539i | \(-0.526492\pi\) |
0.200995 | + | 0.979592i | \(0.435583\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −37.3163 | − | 81.7113i | −0.342351 | − | 0.749645i | 0.657642 | − | 0.753331i | \(-0.271554\pi\) |
−0.999993 | + | 0.00368599i | \(0.998827\pi\) | |||||||
\(110\) | −6.94501 | − | 23.6525i | −0.0631364 | − | 0.215023i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −6.72936 | + | 46.8037i | −0.0600835 | + | 0.417890i | ||||
\(113\) | −37.7071 | − | 58.6734i | −0.333691 | − | 0.519233i | 0.633346 | − | 0.773869i | \(-0.281681\pi\) |
−0.967037 | + | 0.254635i | \(0.918045\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.20206 | − | 155.159i | 0.0626266 | − | 1.34921i | ||||
\(116\) | − | 53.1333i | − | 0.458045i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −10.1421 | + | 70.5399i | −0.0859500 | + | 0.597796i | ||||
\(119\) | −202.860 | − | 92.6429i | −1.70470 | − | 0.778512i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 47.4977 | + | 104.005i | 0.392543 | + | 0.859549i | ||||
\(122\) | 3.32575 | − | 2.88177i | 0.0272602 | − | 0.0236211i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −69.5296 | − | 20.4157i | −0.560723 | − | 0.164643i | ||||
\(125\) | −22.4189 | − | 19.4261i | −0.179351 | − | 0.155408i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 102.639 | + | 65.9622i | 0.808183 | + | 0.519388i | 0.878277 | − | 0.478153i | \(-0.158693\pi\) |
−0.0700938 | + | 0.997540i | \(0.522330\pi\) | |||||||
\(128\) | −8.55033 | − | 7.40890i | −0.0667995 | − | 0.0578821i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −33.1162 | − | 230.328i | −0.254740 | − | 1.77176i | ||||
\(131\) | 6.58012 | − | 5.70170i | 0.0502299 | − | 0.0435244i | −0.629384 | − | 0.777094i | \(-0.716693\pi\) |
0.679614 | + | 0.733570i | \(0.262147\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −139.225 | + | 40.8802i | −1.04680 | + | 0.307370i | ||||
\(134\) | 91.1776 | + | 41.6394i | 0.680430 | + | 0.310742i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 44.8889 | − | 28.8483i | 0.330065 | − | 0.212120i | ||||
\(137\) | − | 216.729i | − | 1.58196i | −0.611842 | − | 0.790980i | \(-0.709571\pi\) | ||
0.611842 | − | 0.790980i | \(-0.290429\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −202.996 | −1.46041 | −0.730203 | − | 0.683230i | \(-0.760575\pi\) | ||||
−0.730203 | + | 0.683230i | \(0.760575\pi\) | |||||||
\(140\) | −86.3217 | − | 134.319i | −0.616584 | − | 0.959423i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −60.2206 | + | 131.865i | −0.424089 | + | 0.928625i | ||||
\(143\) | −17.7173 | − | 60.3396i | −0.123897 | − | 0.421955i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 117.491 | + | 135.591i | 0.810280 | + | 0.935113i | ||||
\(146\) | −0.862225 | + | 0.123969i | −0.00590565 | + | 0.000849104i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 60.9245 | − | 70.3106i | 0.411652 | − | 0.475072i | ||||
\(149\) | −47.7552 | + | 74.3085i | −0.320505 | + | 0.498715i | −0.963700 | − | 0.266987i | \(-0.913972\pi\) |
0.643195 | + | 0.765702i | \(0.277608\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −166.377 | + | 192.009i | −1.10183 | + | 1.27158i | −0.142348 | + | 0.989817i | \(0.545465\pi\) |
−0.959483 | + | 0.281765i | \(0.909080\pi\) | |||||||
\(152\) | 9.78125 | − | 33.3119i | 0.0643503 | − | 0.219157i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −28.2573 | − | 32.6106i | −0.183489 | − | 0.211757i | ||||
\(155\) | 222.578 | − | 101.648i | 1.43598 | − | 0.655792i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 48.4486 | − | 106.088i | 0.308590 | − | 0.675718i | −0.690265 | − | 0.723557i | \(-0.742506\pi\) |
0.998855 | + | 0.0478388i | \(0.0152334\pi\) | |||||||
\(158\) | 191.138 | + | 27.4815i | 1.20974 | + | 0.173934i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 38.2026 | 0.238766 | ||||||||
\(161\) | −101.358 | − | 252.290i | −0.629551 | − | 1.56702i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −87.5780 | + | 56.2830i | −0.537289 | + | 0.345294i | −0.780978 | − | 0.624559i | \(-0.785279\pi\) |
0.243689 | + | 0.969853i | \(0.421642\pi\) | |||||||
\(164\) | 31.6207 | + | 4.54636i | 0.192809 | + | 0.0277217i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 40.5375 | − | 11.9029i | 0.244202 | − | 0.0717041i | ||||
\(167\) | 2.25698 | − | 1.03073i | 0.0135148 | − | 0.00617202i | −0.408646 | − | 0.912693i | \(-0.633999\pi\) |
0.422161 | + | 0.906521i | \(0.361272\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −60.4310 | − | 420.307i | −0.357580 | − | 2.48702i | ||||
\(170\) | −50.7617 | + | 172.879i | −0.298598 | + | 1.01693i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −6.06247 | − | 3.89611i | −0.0352469 | − | 0.0226518i | ||||
\(173\) | 12.0949 | − | 18.8200i | 0.0699125 | − | 0.108786i | −0.804537 | − | 0.593903i | \(-0.797586\pi\) |
0.874449 | + | 0.485117i | \(0.161223\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 233.738 | + | 68.6316i | 1.33564 | + | 0.392181i | ||||
\(176\) | 10.2193 | − | 1.46931i | 0.0580640 | − | 0.00834835i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 83.0284 | + | 181.807i | 0.466452 | + | 1.02139i | ||||
\(179\) | −2.21870 | − | 7.55620i | −0.0123950 | − | 0.0422134i | 0.953063 | − | 0.302771i | \(-0.0979118\pi\) |
−0.965458 | + | 0.260558i | \(0.916094\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.82235 | + | 12.6748i | −0.0100683 | + | 0.0700262i | −0.994236 | − | 0.107213i | \(-0.965807\pi\) |
0.984168 | + | 0.177239i | \(0.0567165\pi\) | |||||||
\(182\) | −220.214 | − | 342.659i | −1.20997 | − | 1.88274i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 63.8931 | + | 12.2338i | 0.347245 | + | 0.0664882i | ||||
\(185\) | 314.146i | 1.69808i | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.92978 | + | 48.1977i | −0.0370577 | + | 0.257742i | ||||
\(188\) | −144.246 | − | 65.8748i | −0.767264 | − | 0.350398i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 48.6998 | + | 106.638i | 0.256315 | + | 0.561251i | ||||
\(191\) | −25.2390 | + | 21.8697i | −0.132141 | + | 0.114501i | −0.718424 | − | 0.695605i | \(-0.755136\pi\) |
0.586283 | + | 0.810107i | \(0.300591\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 168.384 | + | 49.4420i | 0.872456 | + | 0.256176i | 0.687160 | − | 0.726506i | \(-0.258857\pi\) |
0.185296 | + | 0.982683i | \(0.440675\pi\) | |||||||
\(194\) | −181.241 | − | 157.046i | −0.934232 | − | 0.809516i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −152.674 | − | 98.1175i | −0.778948 | − | 0.500600i | ||||
\(197\) | 20.0241 | + | 17.3510i | 0.101645 | + | 0.0880760i | 0.704201 | − | 0.710001i | \(-0.251305\pi\) |
−0.602556 | + | 0.798077i | \(0.705851\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.93905 | − | 48.2622i | −0.0348696 | − | 0.242524i | 0.964931 | − | 0.262505i | \(-0.0845485\pi\) |
−0.999800 | + | 0.0199811i | \(0.993639\pi\) | |||||||
\(200\) | −44.0501 | + | 38.1696i | −0.220251 | + | 0.190848i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −40.5022 | + | 11.8925i | −0.200506 | + | 0.0588739i | ||||
\(203\) | 285.671 | + | 130.461i | 1.40724 | + | 0.642667i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −90.7463 | + | 58.3191i | −0.442665 | + | 0.284483i | ||||
\(206\) | 79.5030i | 0.385937i | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 97.4580 | 0.468548 | ||||||||
\(209\) | 17.1287 | + | 26.6528i | 0.0819554 | + | 0.127525i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 128.416 | − | 281.193i | 0.608609 | − | 1.33267i | −0.314913 | − | 0.949121i | \(-0.601975\pi\) |
0.923522 | − | 0.383546i | \(-0.125297\pi\) | |||||||
\(212\) | 37.0717 | + | 126.255i | 0.174867 | + | 0.595541i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −11.7998 | − | 13.6177i | −0.0551393 | − | 0.0636342i | ||||
\(215\) | 24.0861 | − | 3.46306i | 0.112029 | − | 0.0161073i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 280.485 | − | 323.697i | 1.29256 | − | 1.49169i | ||||
\(218\) | −68.6815 | + | 106.871i | −0.315053 | + | 0.490232i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −22.8297 | + | 26.3468i | −0.103771 | + | 0.119758i | ||||
\(221\) | −129.497 | + | 441.028i | −0.585961 | + | 1.99560i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 66.4635 | + | 76.7030i | 0.298043 | + | 0.343960i | 0.884943 | − | 0.465700i | \(-0.154197\pi\) |
−0.586900 | + | 0.809659i | \(0.699652\pi\) | |||||||
\(224\) | 60.8281 | − | 27.7792i | 0.271554 | − | 0.124014i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −40.9743 | + | 89.7212i | −0.181302 | + | 0.396996i | ||||
\(227\) | −141.483 | − | 20.3422i | −0.623273 | − | 0.0896132i | −0.176559 | − | 0.984290i | \(-0.556497\pi\) |
−0.446714 | + | 0.894677i | \(0.647406\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −386.344 | −1.68709 | −0.843545 | − | 0.537059i | \(-0.819535\pi\) | ||||
−0.843545 | + | 0.537059i | \(0.819535\pi\) | |||||||
\(230\) | −190.102 | + | 110.064i | −0.826529 | + | 0.478538i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −63.2133 | + | 40.6247i | −0.272471 | + | 0.175107i | ||||
\(233\) | 401.670 | + | 57.7515i | 1.72391 | + | 0.247860i | 0.931917 | − | 0.362673i | \(-0.118136\pi\) |
0.791991 | + | 0.610533i | \(0.209045\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 513.768 | − | 150.856i | 2.18624 | − | 0.641939i | ||||
\(236\) | 91.6766 | − | 41.8673i | 0.388460 | − | 0.177404i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 44.8844 | + | 312.178i | 0.188590 | + | 1.31167i | ||||
\(239\) | −22.8024 | + | 77.6577i | −0.0954074 | + | 0.324928i | −0.993342 | − | 0.115201i | \(-0.963249\pi\) |
0.897935 | + | 0.440128i | \(0.145067\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −218.000 | − | 140.100i | −0.904563 | − | 0.581327i | 0.00357745 | − | 0.999994i | \(-0.498861\pi\) |
−0.908140 | + | 0.418667i | \(0.862498\pi\) | |||||||
\(242\) | 87.4207 | − | 136.029i | 0.361243 | − | 0.562104i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −5.97129 | − | 1.75333i | −0.0244725 | − | 0.00718577i | ||||
\(245\) | 606.572 | − | 87.2119i | 2.47580 | − | 0.355967i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 124.237 | + | 272.042i | 0.502985 | + | 1.10138i | ||||
\(248\) | 28.8722 | + | 98.3297i | 0.116420 | + | 0.396491i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5.97037 | + | 41.5248i | −0.0238815 | + | 0.166099i | ||||
\(251\) | 186.120 | + | 289.608i | 0.741513 | + | 1.15382i | 0.983034 | + | 0.183421i | \(0.0587173\pi\) |
−0.241521 | + | 0.970396i | \(0.577646\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −46.6194 | + | 36.7537i | −0.184266 | + | 0.145272i | ||||
\(254\) | − | 172.545i | − | 0.679310i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.27704 | + | 15.8371i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | −371.171 | − | 169.508i | −1.44424 | − | 0.659564i | −0.469509 | − | 0.882928i | \(-0.655569\pi\) |
−0.974735 | + | 0.223363i | \(0.928296\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 228.433 | + | 500.198i | 0.881980 | + | 1.93127i | ||||
\(260\) | −248.704 | + | 215.503i | −0.956555 | + | 0.828859i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −11.8144 | − | 3.46903i | −0.0450932 | − | 0.0132406i | ||||
\(263\) | 129.497 | + | 112.210i | 0.492384 | + | 0.426653i | 0.865332 | − | 0.501199i | \(-0.167108\pi\) |
−0.372948 | + | 0.927852i | \(0.621653\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −373.784 | − | 240.216i | −1.41051 | − | 0.906477i | ||||
\(266\) | 155.085 | + | 134.382i | 0.583025 | + | 0.505194i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −20.1738 | − | 140.312i | −0.0752754 | − | 0.523552i | ||||
\(269\) | 31.4702 | − | 27.2691i | 0.116990 | − | 0.101372i | −0.594401 | − | 0.804169i | \(-0.702611\pi\) |
0.711391 | + | 0.702796i | \(0.248065\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −346.619 | + | 101.777i | −1.27904 | + | 0.375559i | −0.849548 | − | 0.527512i | \(-0.823125\pi\) |
−0.429490 | + | 0.903071i | \(0.641307\pi\) | |||||||
\(272\) | −68.6424 | − | 31.3479i | −0.252362 | − | 0.115250i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −257.845 | + | 165.707i | −0.941039 | + | 0.604769i | ||||
\(275\) | − | 53.1896i | − | 0.193417i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −240.875 | −0.869586 | −0.434793 | − | 0.900530i | \(-0.643178\pi\) | ||||
−0.434793 | + | 0.900530i | \(0.643178\pi\) | |||||||
\(278\) | 155.207 | + | 241.507i | 0.558300 | + | 0.868731i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −93.8012 | + | 205.396i | −0.335004 | + | 0.733557i | ||||
\(281\) | 55.9740 | + | 190.630i | 0.199196 | + | 0.678399i | 0.997134 | + | 0.0756590i | \(0.0241060\pi\) |
−0.797938 | + | 0.602740i | \(0.794076\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −88.3756 | − | 101.991i | −0.312281 | − | 0.360392i | 0.577812 | − | 0.816170i | \(-0.303907\pi\) |
−0.890094 | + | 0.455778i | \(0.849361\pi\) | |||||||
\(284\) | 202.925 | − | 29.1762i | 0.714523 | − | 0.102733i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −58.2404 | + | 67.2130i | −0.203638 | + | 0.235010i | ||||
\(287\) | −102.084 | + | 158.845i | −0.355692 | + | 0.553468i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 43.8130 | − | 50.5629i | 0.151602 | − | 0.174958i | ||||
\(290\) | 71.4836 | − | 243.451i | 0.246495 | − | 0.839486i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.806729 | + | 0.931014i | 0.00276277 | + | 0.00318841i | ||||
\(293\) | −290.553 | + | 132.691i | −0.991648 | + | 0.452870i | −0.844101 | − | 0.536185i | \(-0.819865\pi\) |
−0.147547 | + | 0.989055i | \(0.547138\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −141.372 | + | 309.561i | −0.479227 | + | 1.04936i | ||||
\(296\) | −130.231 | − | 18.7244i | −0.439970 | − | 0.0632582i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 124.919 | 0.419190 | ||||||||
\(299\) | −484.965 | + | 280.782i | −1.62196 | + | 0.939069i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 35.8330 | − | 23.0284i | 0.119046 | − | 0.0765064i | ||||
\(302\) | 355.644 | + | 51.1339i | 1.17763 | + | 0.169317i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −47.1101 | + | 13.8328i | −0.154967 | + | 0.0455025i | ||||
\(305\) | 19.1152 | − | 8.72964i | 0.0626729 | − | 0.0286218i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −15.6683 | − | 108.975i | −0.0510367 | − | 0.354968i | −0.999298 | − | 0.0374757i | \(-0.988068\pi\) |
0.948261 | − | 0.317492i | \(-0.102841\pi\) | |||||||
\(308\) | −17.1923 | + | 58.5515i | −0.0558191 | + | 0.190102i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −291.110 | − | 187.085i | −0.939066 | − | 0.603501i | ||||
\(311\) | −122.581 | + | 190.740i | −0.394152 | + | 0.613313i | −0.980447 | − | 0.196785i | \(-0.936950\pi\) |
0.586294 | + | 0.810098i | \(0.300586\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 43.4557 | + | 12.7598i | 0.138836 | + | 0.0407660i | 0.350412 | − | 0.936596i | \(-0.386041\pi\) |
−0.211576 | + | 0.977362i | \(0.567860\pi\) | |||||||
\(314\) | −163.257 | + | 23.4728i | −0.519926 | + | 0.0747541i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −113.446 | − | 248.411i | −0.359005 | − | 0.786112i | ||||
\(317\) | −54.0899 | − | 184.213i | −0.170631 | − | 0.581114i | −0.999757 | − | 0.0220528i | \(-0.992980\pi\) |
0.829126 | − | 0.559061i | \(-0.188838\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.75865 | − | 67.8729i | 0.0305914 | − | 0.212768i | ||||
\(320\) | −29.2090 | − | 45.4501i | −0.0912781 | − | 0.142032i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −222.656 | + | 313.482i | −0.691478 | + | 0.973548i | ||||
\(323\) | − | 231.568i | − | 0.716929i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 71.4548 | − | 496.979i | 0.219861 | − | 1.52917i | ||||
\(326\) | 133.921 | + | 61.1597i | 0.410801 | + | 0.187606i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −18.7677 | − | 41.0955i | −0.0572186 | − | 0.125291i | ||||
\(329\) | 708.351 | − | 613.789i | 2.15304 | − | 1.86562i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 513.135 | + | 150.670i | 1.55026 | + | 0.455196i | 0.941177 | − | 0.337914i | \(-0.109721\pi\) |
0.609078 | + | 0.793110i | \(0.291539\pi\) | |||||||
\(332\) | −45.1552 | − | 39.1272i | −0.136010 | − | 0.117853i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −2.95191 | − | 1.89708i | −0.00883806 | − | 0.00567988i | ||||
\(335\) | 361.746 | + | 313.454i | 1.07984 | + | 0.935685i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −35.8224 | − | 249.150i | −0.106298 | − | 0.739318i | −0.971353 | − | 0.237641i | \(-0.923626\pi\) |
0.865055 | − | 0.501677i | \(-0.167283\pi\) | |||||||
\(338\) | −453.839 | + | 393.254i | −1.34272 | + | 1.16347i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 244.487 | − | 71.7879i | 0.719080 | − | 0.211141i | ||||
\(341\) | −85.0681 | − | 38.8493i | −0.249466 | − | 0.113928i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 415.109 | − | 266.774i | 1.21023 | − | 0.777768i | ||||
\(344\) | 10.1915i | 0.0296264i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −31.6379 | −0.0914389 | ||||||||
\(347\) | 82.1344 | + | 127.804i | 0.236698 | + | 0.368310i | 0.939199 | − | 0.343373i | \(-0.111570\pi\) |
−0.702501 | + | 0.711683i | \(0.747933\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 63.8389 | − | 139.788i | 0.182920 | − | 0.400538i | −0.795852 | − | 0.605491i | \(-0.792977\pi\) |
0.978772 | + | 0.204953i | \(0.0657041\pi\) | |||||||
\(350\) | −97.0598 | − | 330.555i | −0.277314 | − | 0.944444i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −9.56152 | − | 11.0346i | −0.0271634 | − | 0.0313482i | ||||
\(353\) | 408.145 | − | 58.6824i | 1.15622 | − | 0.166239i | 0.462590 | − | 0.886572i | \(-0.346920\pi\) |
0.693628 | + | 0.720333i | \(0.256011\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −453.330 | + | 523.171i | −1.27699 | + | 1.47372i | ||||
\(356\) | 152.816 | − | 237.786i | 0.429258 | − | 0.667939i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −7.29333 | + | 8.41695i | −0.0203724 | + | 0.0235110i | ||||
\(359\) | −81.0080 | + | 275.888i | −0.225649 | + | 0.768490i | 0.766370 | + | 0.642400i | \(0.222061\pi\) |
−0.992019 | + | 0.126090i | \(0.959757\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 137.737 | + | 158.957i | 0.381544 | + | 0.440325i | ||||
\(362\) | 16.4726 | − | 7.52280i | 0.0455045 | − | 0.0207812i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −239.295 | + | 523.982i | −0.657403 | + | 1.43951i | ||||
\(365\) | −4.11740 | − | 0.591993i | −0.0112806 | − | 0.00162190i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 156.483 | 0.426383 | 0.213192 | − | 0.977010i | \(-0.431614\pi\) | ||||
0.213192 | + | 0.977010i | \(0.431614\pi\) | |||||||
\(368\) | −34.2968 | − | 85.3682i | −0.0931978 | − | 0.231979i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 373.743 | − | 240.190i | 1.01012 | − | 0.649162i | ||||
\(371\) | −769.832 | − | 110.685i | −2.07502 | − | 0.298343i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −496.117 | + | 145.673i | −1.33007 | + | 0.390545i | −0.868117 | − | 0.496359i | \(-0.834670\pi\) |
−0.461955 | + | 0.886903i | \(0.652852\pi\) | |||||||
\(374\) | 62.6398 | − | 28.6066i | 0.167486 | − | 0.0764883i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 31.9155 | + | 221.977i | 0.0848818 | + | 0.590366i | ||||
\(377\) | 182.361 | − | 621.063i | 0.483715 | − | 1.64738i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 135.588 | + | 87.1370i | 0.357751 | + | 0.229913i | 0.707154 | − | 0.707060i | \(-0.249979\pi\) |
−0.349402 | + | 0.936973i | \(0.613615\pi\) | |||||||
\(380\) | 89.6332 | − | 139.472i | 0.235877 | − | 0.367032i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 45.3160 | + | 13.3060i | 0.118628 | + | 0.0348324i | ||||
\(383\) | −36.4286 | + | 5.23764i | −0.0951137 | + | 0.0136753i | −0.189707 | − | 0.981841i | \(-0.560754\pi\) |
0.0945936 | + | 0.995516i | \(0.469845\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −85.5985 | − | 187.435i | −0.222334 | − | 0.486843i | ||||
\(386\) | −69.9216 | − | 238.131i | −0.181144 | − | 0.616920i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −48.2663 | + | 335.699i | −0.124398 | + | 0.865204i | ||||
\(389\) | 228.536 | + | 355.609i | 0.587496 | + | 0.914161i | 0.999995 | + | 0.00320307i | \(0.00101957\pi\) |
−0.412499 | + | 0.910958i | \(0.635344\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 431.890 | − | 41.7705i | 1.10458 | − | 0.106830i | ||||
\(392\) | 256.657i | 0.654737i | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 5.33261 | − | 37.0891i | 0.0135346 | − | 0.0941349i | ||||
\(395\) | 838.801 | + | 383.068i | 2.12355 | + | 0.969792i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 90.9337 | + | 199.117i | 0.229052 | + | 0.501554i | 0.988907 | − | 0.148539i | \(-0.0474571\pi\) |
−0.759854 | + | 0.650093i | \(0.774730\pi\) | |||||||
\(398\) | −52.1126 | + | 45.1559i | −0.130936 | + | 0.113457i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 79.0908 | + | 23.2231i | 0.197727 | + | 0.0580579i | ||||
\(401\) | −274.287 | − | 237.671i | −0.684009 | − | 0.592697i | 0.241965 | − | 0.970285i | \(-0.422208\pi\) |
−0.925974 | + | 0.377588i | \(0.876754\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −742.647 | − | 477.270i | −1.84280 | − | 1.18429i | ||||
\(404\) | 45.1160 | + | 39.0932i | 0.111673 | + | 0.0967653i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −63.2070 | − | 439.614i | −0.155682 | − | 1.08279i | ||||
\(407\) | 90.7390 | − | 78.6258i | 0.222946 | − | 0.193184i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −613.916 | + | 180.262i | −1.50102 | + | 0.440738i | −0.926038 | − | 0.377430i | \(-0.876808\pi\) |
−0.574979 | + | 0.818168i | \(0.694990\pi\) | |||||||
\(410\) | 138.766 | + | 63.3722i | 0.338453 | + | 0.154566i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 94.5857 | − | 60.7865i | 0.229577 | − | 0.147540i | ||||
\(413\) | 595.698i | 1.44237i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 201.752 | 0.486150 | ||||||||
\(416\) | −74.5146 | − | 115.947i | −0.179122 | − | 0.278719i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 18.6128 | − | 40.7564i | 0.0445283 | − | 0.0975034i | ||||
\(419\) | −78.2230 | − | 266.403i | −0.186690 | − | 0.635807i | −0.998643 | − | 0.0520841i | \(-0.983414\pi\) |
0.811953 | − | 0.583723i | \(-0.198405\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −525.911 | − | 606.933i | −1.24919 | − | 1.44165i | −0.851689 | − | 0.524047i | \(-0.824422\pi\) |
−0.397505 | − | 0.917600i | \(-0.630124\pi\) | |||||||
\(422\) | −432.723 | + | 62.2162i | −1.02541 | + | 0.147432i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 121.862 | − | 140.637i | 0.287411 | − | 0.331690i | ||||
\(425\) | −210.184 | + | 327.053i | −0.494550 | + | 0.769535i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 24.0884 | − | 27.7995i | 0.0564132 | − | 0.0651043i | ||||
\(428\) | −7.17924 | + | 24.4502i | −0.0167739 | + | 0.0571267i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −22.5359 | − | 26.0078i | −0.0524090 | − | 0.0604832i | ||||
\(431\) | −133.179 | + | 60.8209i | −0.309001 | + | 0.141116i | −0.563879 | − | 0.825857i | \(-0.690692\pi\) |
0.254879 | + | 0.966973i | \(0.417964\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −17.0209 | + | 37.2706i | −0.0393093 | + | 0.0860753i | −0.928268 | − | 0.371912i | \(-0.878702\pi\) |
0.888959 | + | 0.457987i | \(0.151430\pi\) | |||||||
\(434\) | −599.561 | − | 86.2038i | −1.38148 | − | 0.198626i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 179.658 | 0.412059 | ||||||||
\(437\) | 194.574 | − | 204.561i | 0.445249 | − | 0.468102i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −270.086 | + | 173.574i | −0.615230 | + | 0.395384i | −0.810815 | − | 0.585303i | \(-0.800976\pi\) |
0.195585 | + | 0.980687i | \(0.437339\pi\) | |||||||
\(440\) | 48.8003 | + | 7.01643i | 0.110910 | + | 0.0159464i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 623.707 | − | 183.137i | 1.41110 | − | 0.414337i | ||||
\(443\) | −68.0622 | + | 31.0829i | −0.153639 | + | 0.0701647i | −0.490751 | − | 0.871300i | \(-0.663277\pi\) |
0.337111 | + | 0.941465i | \(0.390550\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 135.831 | + | 944.723i | 0.305237 | + | 2.12297i | ||||
\(446\) | 40.4377 | − | 137.718i | 0.0906675 | − | 0.308785i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −79.5573 | − | 51.1284i | −0.177583 | − | 0.114126i | ||||
\(449\) | 301.243 | − | 468.743i | 0.670919 | − | 1.04397i | −0.324267 | − | 0.945966i | \(-0.605118\pi\) |
0.995186 | − | 0.0980046i | \(-0.0312460\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 39.5575 | + | 11.6151i | 0.0877106 | + | 0.0257542i | ||||
\(452\) | 138.071 | − | 19.8515i | 0.305466 | − | 0.0439193i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 83.9740 | + | 183.877i | 0.184965 | + | 0.405016i | ||||
\(455\) | −547.994 | − | 1866.30i | −1.20438 | − | 4.10175i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −43.6023 | + | 303.260i | −0.0954098 | + | 0.663590i | 0.884850 | + | 0.465876i | \(0.154261\pi\) |
−0.980260 | + | 0.197714i | \(0.936648\pi\) | |||||||
\(458\) | 295.391 | + | 459.638i | 0.644959 | + | 1.00358i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 276.292 | + | 142.014i | 0.600636 | + | 0.308725i | ||||
\(461\) | − | 646.978i | − | 1.40342i | −0.712461 | − | 0.701712i | \(-0.752419\pi\) | ||
0.712461 | − | 0.701712i | \(-0.247581\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 95.3539 | − | 663.201i | 0.205948 | − | 1.43240i | −0.580257 | − | 0.814433i | \(-0.697048\pi\) |
0.786205 | − | 0.617966i | \(-0.212043\pi\) | |||||||
\(464\) | 96.6634 | + | 44.1447i | 0.208326 | + | 0.0951395i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −238.402 | − | 522.028i | −0.511593 | − | 1.12023i | ||||
\(467\) | −545.660 | + | 472.817i | −1.16844 | + | 1.01246i | −0.168796 | + | 0.985651i | \(0.553988\pi\) |
−0.999641 | + | 0.0268049i | \(0.991467\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 803.920 | + | 236.052i | 1.71411 | + | 0.503309i | ||||
\(470\) | −572.292 | − | 495.894i | −1.21764 | − | 1.05509i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −119.904 | − | 77.0578i | −0.254035 | − | 0.163258i | ||||
\(473\) | −7.02867 | − | 6.09038i | −0.0148598 | − | 0.0128761i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 35.9987 | + | 250.376i | 0.0757867 | + | 0.527108i | ||||
\(476\) | 337.084 | − | 292.085i | 0.708159 | − | 0.613623i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 109.825 | − | 32.2474i | 0.229759 | − | 0.0674632i | ||||
\(479\) | −106.456 | − | 48.6166i | −0.222245 | − | 0.101496i | 0.301181 | − | 0.953567i | \(-0.402619\pi\) |
−0.523426 | + | 0.852071i | \(0.675346\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 953.449 | − | 612.744i | 1.98222 | − | 1.27390i | ||||
\(482\) | 366.475i | 0.760321i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −228.676 | −0.472471 | ||||||||
\(485\) | −619.142 | − | 963.403i | −1.27658 | − | 1.98640i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 195.527 | − | 428.145i | 0.401494 | − | 0.879148i | −0.595623 | − | 0.803264i | \(-0.703095\pi\) |
0.997117 | − | 0.0758843i | \(-0.0241780\pi\) | |||||||
\(488\) | 2.47958 | + | 8.44467i | 0.00508111 | + | 0.0173047i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −567.531 | − | 654.966i | −1.15823 | − | 1.33666i | ||||
\(491\) | −421.318 | + | 60.5764i | −0.858082 | + | 0.123374i | −0.557292 | − | 0.830317i | \(-0.688160\pi\) |
−0.300790 | + | 0.953690i | \(0.597250\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −328.210 | + | 378.775i | −0.665741 | + | 0.768306i | ||||
\(494\) | 228.662 | − | 355.805i | 0.462878 | − | 0.720252i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 94.9089 | − | 109.531i | 0.191349 | − | 0.220828i | ||||
\(497\) | −341.388 | + | 1162.66i | −0.686897 | + | 2.33936i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 165.717 | + | 191.248i | 0.332098 | + | 0.383262i | 0.897100 | − | 0.441828i | \(-0.145670\pi\) |
−0.565002 | + | 0.825090i | \(0.691124\pi\) | |||||||
\(500\) | 53.9674 | − | 24.6461i | 0.107935 | − | 0.0492922i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 202.246 | − | 442.858i | 0.402881 | − | 0.882187i | ||||
\(503\) | −416.854 | − | 59.9345i | −0.828735 | − | 0.119154i | −0.285123 | − | 0.958491i | \(-0.592035\pi\) |
−0.543612 | + | 0.839337i | \(0.682944\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −201.577 | −0.399162 | ||||||||
\(506\) | 79.3707 | + | 27.3624i | 0.156859 | + | 0.0540760i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −205.278 | + | 131.924i | −0.404091 | + | 0.259694i | ||||
\(509\) | −207.447 | − | 29.8263i | −0.407557 | − | 0.0585979i | −0.0645124 | − | 0.997917i | \(-0.520549\pi\) |
−0.343045 | + | 0.939319i | \(0.611458\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.98640 | + | 2.05139i | −0.0136720 | + | 0.00401447i | ||||
\(512\) | 20.5826 | − | 9.39977i | 0.0402004 | − | 0.0183589i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 82.1246 | + | 571.189i | 0.159776 | + | 1.11126i | ||||
\(515\) | −106.960 | + | 364.274i | −0.207690 | + | 0.707328i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −172.162 | − | 110.642i | −0.333002 | − | 0.214007i | ||||
\(518\) | 420.436 | − | 654.212i | 0.811653 | − | 1.26296i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 446.542 | + | 131.116i | 0.858734 | + | 0.252147i | ||||
\(521\) | 18.4825 | − | 2.65738i | 0.0354750 | − | 0.00510054i | −0.124554 | − | 0.992213i | \(-0.539750\pi\) |
0.160030 | + | 0.987112i | \(0.448841\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −74.0594 | − | 162.168i | −0.141605 | − | 0.310072i | 0.825520 | − | 0.564373i | \(-0.190882\pi\) |
−0.967125 | + | 0.254301i | \(0.918155\pi\) | |||||||
\(524\) | 4.90594 | + | 16.7081i | 0.00936249 | + | 0.0318857i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 34.4863 | − | 239.858i | 0.0655634 | − | 0.456003i | ||||
\(527\) | 369.550 | + | 575.031i | 0.701234 | + | 1.09114i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 416.616 | + | 325.994i | 0.787554 | + | 0.616245i | ||||
\(530\) | 628.360i | 1.18559i | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 41.3005 | − | 287.252i | 0.0776326 | − | 0.539947i | ||||
\(533\) | 354.003 | + | 161.668i | 0.664171 | + | 0.303317i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −35.7447 | − | 78.2699i | −0.0668125 | − | 0.146299i | ||||
\(536\) | −151.506 | + | 131.281i | −0.282661 | + | 0.244927i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −56.5040 | − | 16.5911i | −0.105026 | − | 0.0308384i | ||||
\(539\) | −177.006 | − | 153.377i | −0.328397 | − | 0.284558i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 447.711 | + | 287.726i | 0.827562 | + | 0.531842i | 0.884502 | − | 0.466536i | \(-0.154498\pi\) |
−0.0569402 | + | 0.998378i | \(0.518134\pi\) | |||||||
\(542\) | 386.104 | + | 334.561i | 0.712368 | + | 0.617271i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 15.1877 | + | 105.633i | 0.0279186 | + | 0.194178i | ||||
\(545\) | −458.471 | + | 397.267i | −0.841231 | + | 0.728931i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 213.747 | − | 62.7616i | 0.390761 | − | 0.114738i | −0.0804490 | − | 0.996759i | \(-0.525635\pi\) |
0.471210 | + | 0.882021i | \(0.343817\pi\) | |||||||
\(548\) | 394.286 | + | 180.065i | 0.719501 | + | 0.328585i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −63.2803 | + | 40.6678i | −0.115055 | + | 0.0739415i | ||||
\(551\) | 326.099i | 0.591830i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1614.13 | 2.91886 | ||||||||
\(554\) | 184.169 | + | 286.572i | 0.332435 | + | 0.517278i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 168.656 | − | 369.304i | 0.303337 | − | 0.664216i | ||||
\(557\) | −166.060 | − | 565.548i | −0.298133 | − | 1.01535i | −0.963250 | − | 0.268607i | \(-0.913437\pi\) |
0.665117 | − | 0.746739i | \(-0.268382\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −57.4909 | − | 66.3480i | −0.102846 | − | 0.118690i | ||||
\(560\) | 316.081 | − | 45.4455i | 0.564430 | − | 0.0811528i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 183.998 | − | 212.345i | 0.327399 | − | 0.377838i | ||||
\(563\) | 263.079 | − | 409.359i | 0.467281 | − | 0.727104i | −0.525001 | − | 0.851101i | \(-0.675935\pi\) |
0.992282 | + | 0.123998i | \(0.0395716\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −308.447 | + | 355.967i | −0.545924 | + | 0.630030i | ||||
\(566\) | −53.7695 | + | 183.122i | −0.0949990 | + | 0.323537i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −189.864 | − | 219.114i | −0.334267 | − | 0.385765i | ||||
\(569\) | 544.396 | − | 248.617i | 0.956759 | − | 0.436937i | 0.125051 | − | 0.992150i | \(-0.460091\pi\) |
0.831708 | + | 0.555213i | \(0.187363\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.24388 | + | 13.6722i | −0.0109350 | + | 0.0239443i | −0.915021 | − | 0.403407i | \(-0.867826\pi\) |
0.904086 | + | 0.427351i | \(0.140553\pi\) | |||||||
\(572\) | 124.494 | + | 17.8995i | 0.217646 | + | 0.0312928i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 267.031 | 0.465211 | ||||||||
\(575\) | −460.474 | + | 112.303i | −0.800825 | + | 0.195309i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −279.044 | + | 179.331i | −0.483611 | + | 0.310798i | −0.759632 | − | 0.650354i | \(-0.774621\pi\) |
0.276020 | + | 0.961152i | \(0.410984\pi\) | |||||||
\(578\) | −93.6540 | − | 13.4654i | −0.162031 | − | 0.0232966i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −344.291 | + | 101.093i | −0.593606 | + | 0.174298i | ||||
\(581\) | 321.240 | − | 146.705i | 0.552908 | − | 0.252505i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 24.1673 | + | 168.088i | 0.0414534 | + | 0.288315i | ||||
\(584\) | 0.490829 | − | 1.67161i | 0.000840461 | − | 0.00286235i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 380.015 | + | 244.221i | 0.648491 | + | 0.416760i | ||||
\(587\) | 152.124 | − | 236.710i | 0.259155 | − | 0.403254i | −0.687156 | − | 0.726510i | \(-0.741141\pi\) |
0.946312 | + | 0.323256i | \(0.104778\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 426.729 | + | 125.299i | 0.724497 | + | 0.212732i | ||||
\(590\) | 476.379 | − | 68.4930i | 0.807422 | − | 0.116090i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 77.2957 | + | 169.254i | 0.130567 | + | 0.285902i | ||||
\(593\) | 273.298 | + | 930.766i | 0.460873 | + | 1.56959i | 0.782455 | + | 0.622707i | \(0.213967\pi\) |
−0.321582 | + | 0.946882i | \(0.604215\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −214.337 | + | 1490.75i | −0.360231 | + | 2.50546i | ||||
\(596\) | −95.5104 | − | 148.617i | −0.160252 | − | 0.249358i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 704.845 | + | 362.288i | 1.17867 | + | 0.605834i | ||||
\(599\) | − | 1084.33i | − | 1.81023i | −0.425163 | − | 0.905117i | \(-0.639783\pi\) | ||
0.425163 | − | 0.905117i | \(-0.360217\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 113.207 | − | 787.370i | 0.188364 | − | 1.31010i | −0.647880 | − | 0.761742i | \(-0.724344\pi\) |
0.836244 | − | 0.548357i | \(-0.184747\pi\) | |||||||
\(602\) | −54.7944 | − | 25.0238i | −0.0910207 | − | 0.0415677i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −211.084 | − | 462.210i | −0.349477 | − | 0.765248i | ||||
\(605\) | 583.561 | − | 505.658i | 0.964564 | − | 0.835799i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 102.403 | + | 30.0682i | 0.168703 | + | 0.0495357i | 0.364993 | − | 0.931010i | \(-0.381071\pi\) |
−0.196290 | + | 0.980546i | \(0.562889\pi\) | |||||||
\(608\) | 52.4765 | + | 45.4712i | 0.0863101 | + | 0.0747881i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −25.0009 | − | 16.0671i | −0.0409851 | − | 0.0263395i | ||||
\(611\) | −1459.96 | − | 1265.07i | −2.38947 | − | 2.07049i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −82.8421 | − | 576.179i | −0.135142 | − | 0.939934i | −0.938707 | − | 0.344717i | \(-0.887975\pi\) |
0.803565 | − | 0.595217i | \(-0.202934\pi\) | |||||||
\(614\) | −117.669 | + | 101.961i | −0.191644 | + | 0.166060i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 82.8043 | − | 24.3135i | 0.134423 | − | 0.0394700i | ||||
\(617\) | −263.016 | − | 120.115i | −0.426282 | − | 0.194677i | 0.190709 | − | 0.981647i | \(-0.438921\pi\) |
−0.616991 | + | 0.786970i | \(0.711649\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −802.141 | + | 515.505i | −1.29587 | + | 0.832802i | −0.992755 | − | 0.120153i | \(-0.961662\pi\) |
−0.303111 | + | 0.952955i | \(0.598025\pi\) | |||||||
\(620\) | 489.380i | 0.789322i | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 320.650 | 0.515514 | ||||||||
\(623\) | 903.237 | + | 1405.46i | 1.44982 | + | 2.25596i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −297.238 | + | 650.859i | −0.475580 | + | 1.04138i | ||||
\(626\) | −18.0450 | − | 61.4557i | −0.0288259 | − | 0.0981720i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 152.749 | + | 176.282i | 0.243231 | + | 0.280703i | ||||
\(629\) | −868.633 | + | 124.891i | −1.38098 | + | 0.198554i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −254.531 | + | 293.745i | −0.403378 | + | 0.465523i | −0.920702 | − | 0.390267i | \(-0.872383\pi\) |
0.517324 | + | 0.855790i | \(0.326928\pi\) | |||||||
\(632\) | −208.799 | + | 324.898i | −0.330379 | + | 0.514080i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −177.805 | + | 205.197i | −0.280449 | + | 0.323655i | ||||
\(635\) | 232.135 | − | 790.581i | 0.365568 | − | 1.24501i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1447.82 | − | 1670.87i | −2.27287 | − | 2.62303i | ||||
\(638\) | −88.2105 | + | 40.2844i | −0.138261 | + | 0.0631417i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −31.7399 | + | 69.5006i | −0.0495935 | + | 0.108595i | ||||
\(641\) | −426.469 | − | 61.3170i | −0.665319 | − | 0.0956584i | −0.198623 | − | 0.980076i | \(-0.563647\pi\) |
−0.466696 | + | 0.884418i | \(0.654556\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 317.314 | 0.493490 | 0.246745 | − | 0.969080i | \(-0.420639\pi\) | ||||
0.246745 | + | 0.969080i | \(0.420639\pi\) | |||||||
\(644\) | 543.193 | + | 25.2134i | 0.843467 | + | 0.0391513i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −275.499 | + | 177.053i | −0.426470 | + | 0.274075i | ||||
\(647\) | 328.012 | + | 47.1610i | 0.506974 | + | 0.0728918i | 0.391056 | − | 0.920367i | \(-0.372110\pi\) |
0.115918 | + | 0.993259i | \(0.463019\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 124.798 | − | 36.6440i | 0.192293 | − | 0.0564622i | ||||
\(650\) | −645.895 | + | 294.971i | −0.993685 | + | 0.453801i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −29.6311 | − | 206.089i | −0.0454465 | − | 0.316088i | ||||
\(653\) | 187.341 | − | 638.024i | 0.286892 | − | 0.977065i | −0.682364 | − | 0.731012i | \(-0.739048\pi\) |
0.969256 | − | 0.246053i | \(-0.0791337\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −49.4653 | − | 31.7894i | −0.0755195 | − | 0.0485334i | ||||
\(656\) | −34.5424 | + | 53.7491i | −0.0526561 | + | 0.0819345i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1271.82 | − | 373.441i | −1.93286 | − | 0.567540i | ||||
\(659\) | 440.547 | − | 63.3410i | 0.668508 | − | 0.0961169i | 0.200299 | − | 0.979735i | \(-0.435809\pi\) |
0.468209 | + | 0.883618i | \(0.344900\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −356.750 | − | 781.173i | −0.539712 | − | 1.18180i | −0.961423 | − | 0.275074i | \(-0.911298\pi\) |
0.421711 | − | 0.906730i | \(-0.361430\pi\) | |||||||
\(662\) | −213.079 | − | 725.682i | −0.321872 | − | 1.09620i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −12.0253 | + | 83.6377i | −0.0181104 | + | 0.125960i | ||||
\(665\) | 529.788 | + | 824.366i | 0.796674 | + | 1.23965i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −608.195 | + | 58.8220i | −0.911836 | + | 0.0881889i | ||||
\(668\) | 4.96240i | 0.00742874i | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 96.3364 | − | 670.035i | 0.143786 | − | 1.00005i | ||||
\(671\) | −7.30575 | − | 3.33642i | −0.0108879 | − | 0.00497232i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 531.985 | + | 1164.88i | 0.790467 | + | 1.73088i | 0.675309 | + | 0.737535i | \(0.264010\pi\) |
0.115158 | + | 0.993347i | \(0.463262\pi\) | |||||||
\(674\) | −269.028 | + | 233.114i | −0.399151 | + | 0.345867i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 814.856 | + | 239.263i | 1.20541 | + | 0.353940i | ||||
\(677\) | −787.832 | − | 682.660i | −1.16371 | − | 1.00836i | −0.999760 | − | 0.0218924i | \(-0.993031\pi\) |
−0.163950 | − | 0.986469i | \(-0.552424\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1686.37 | − | 1083.77i | −2.48361 | − | 1.59612i | ||||
\(680\) | −272.337 | − | 235.982i | −0.400496 | − | 0.347032i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 18.8220 | + | 130.910i | 0.0275983 | + | 0.191950i | ||||
\(683\) | 112.099 | − | 97.1342i | 0.164127 | − | 0.142217i | −0.568925 | − | 0.822389i | \(-0.692641\pi\) |
0.733052 | + | 0.680172i | \(0.238095\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1404.35 | + | 412.355i | −2.05015 | + | 0.601978i | ||||
\(686\) | −634.769 | − | 289.889i | −0.925320 | − | 0.422579i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 12.1249 | − | 7.79222i | 0.0176234 | − | 0.0113259i | ||||
\(689\) | 1603.00i | 2.32656i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −202.656 | −0.293279 | −0.146639 | − | 0.989190i | \(-0.546846\pi\) | ||||
−0.146639 | + | 0.989190i | \(0.546846\pi\) | |||||||
\(692\) | 24.1897 | + | 37.6399i | 0.0349562 | + | 0.0543930i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 89.2510 | − | 195.433i | 0.128604 | − | 0.281603i | ||||
\(695\) | 386.228 | + | 1315.37i | 0.555723 | + | 1.89262i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −197.333 | − | 227.734i | −0.283118 | − | 0.326735i | ||||
\(698\) | −215.117 | + | 30.9292i | −0.308191 | + | 0.0443112i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −319.055 | + | 368.210i | −0.455794 | + | 0.526014i | ||||
\(701\) | −299.347 | + | 465.793i | −0.427029 | + | 0.664469i | −0.986384 | − | 0.164459i | \(-0.947412\pi\) |
0.559355 | + | 0.828928i | \(0.311049\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −373.916 | + | 431.522i | −0.531886 | + | 0.613830i | ||||
\(704\) | −5.81741 | + | 19.8123i | −0.00826337 | + | 0.0281425i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −381.875 | − | 440.708i | −0.540900 | − | 0.624232i | ||||
\(707\) | −320.960 | + | 146.578i | −0.453975 | + | 0.207323i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 103.353 | − | 226.312i | 0.145773 | − | 0.319199i | −0.822635 | − | 0.568570i | \(-0.807497\pi\) |
0.968408 | + | 0.249372i | \(0.0802240\pi\) | |||||||
\(710\) | 969.031 | + | 139.326i | 1.36483 | + | 0.196233i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −399.737 | −0.561429 | ||||||||
\(713\) | −156.717 | + | 818.478i | −0.219799 | + | 1.14794i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −357.277 | + | 229.608i | −0.499688 | + | 0.321130i | ||||
\(716\) | 15.5901 | + | 2.24152i | 0.0217739 | + | 0.00313061i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 390.165 | − | 114.563i | 0.543405 | − | 0.159558i | ||||
\(719\) | 1034.62 | − | 472.496i | 1.43897 | − | 0.657157i | 0.465311 | − | 0.885148i | \(-0.345943\pi\) |
0.973663 | + | 0.227990i | \(0.0732154\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 94.5762 | + | 657.792i | 0.131174 | + | 0.912333i | ||||
\(722\) | 83.8021 | − | 285.404i | 0.116069 | − | 0.395296i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −21.5447 | − | 13.8459i | −0.0297578 | − | 0.0191242i | ||||
\(725\) | 295.985 | − | 460.561i | 0.408255 | − | 0.635257i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1171.05 | + | 343.851i | 1.61080 | + | 0.472973i | 0.958524 | − | 0.285011i | \(-0.0919971\pi\) |
0.652274 | + | 0.757984i | \(0.273815\pi\) | |||||||
\(728\) | 806.348 | − | 115.935i | 1.10762 | − | 0.159252i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 2.44379 | + | 5.35115i | 0.00334765 | + | 0.00733034i | ||||
\(731\) | 19.1512 | + | 65.2230i | 0.0261986 | + | 0.0892244i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −112.591 | + | 783.085i | −0.153603 | + | 1.06833i | 0.756514 | + | 0.653977i | \(0.226901\pi\) |
−0.910117 | + | 0.414352i | \(0.864008\pi\) | |||||||
\(734\) | −119.644 | − | 186.169i | −0.163002 | − | 0.253637i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −75.3409 | + | 106.074i | −0.102365 | + | 0.144123i | ||||
\(737\) | − | 182.941i | − | 0.248224i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 156.219 | − | 1086.52i | 0.211392 | − | 1.47026i | −0.557123 | − | 0.830430i | \(-0.688095\pi\) |
0.768515 | − | 0.639832i | \(-0.220996\pi\) | |||||||
\(740\) | −571.514 | − | 261.002i | −0.772316 | − | 0.352705i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 456.916 | + | 1000.51i | 0.615790 | + | 1.34839i | ||||
\(743\) | −850.931 | + | 737.336i | −1.14526 | + | 0.992377i | −0.145268 | + | 0.989392i | \(0.546405\pi\) |
−0.999996 | + | 0.00298450i | \(0.999050\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 572.363 | + | 168.061i | 0.768272 | + | 0.225585i | ||||
\(746\) | 552.631 | + | 478.857i | 0.740792 | + | 0.641900i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −81.9269 | − | 52.6512i | −0.109528 | − | 0.0703893i | ||||
\(749\) | −113.829 | − | 98.6333i | −0.151975 | − | 0.131687i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 38.0101 | + | 264.366i | 0.0506127 | + | 0.352019i | 0.999353 | + | 0.0359627i | \(0.0114498\pi\) |
−0.948740 | + | 0.316056i | \(0.897641\pi\) | |||||||
\(752\) | 239.687 | − | 207.690i | 0.318733 | − | 0.276184i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −878.316 | + | 257.897i | −1.16488 | + | 0.342038i | ||||
\(755\) | 1560.73 | + | 712.760i | 2.06719 | + | 0.944053i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −331.202 | + | 212.850i | −0.437519 | + | 0.281176i | −0.740801 | − | 0.671725i | \(-0.765554\pi\) |
0.303282 | + | 0.952901i | \(0.401917\pi\) | |||||||
\(758\) | − | 227.934i | − | 0.300704i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −234.463 | −0.308504 | ||||||||
\(761\) | 120.836 | + | 188.025i | 0.158786 | + | 0.247076i | 0.911526 | − | 0.411241i | \(-0.134905\pi\) |
−0.752740 | + | 0.658318i | \(0.771268\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −441.125 | + | 965.929i | −0.578145 | + | 1.26596i | ||||
\(764\) | −18.8175 | − | 64.0865i | −0.0246302 | − | 0.0838828i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 34.0839 | + | 39.3349i | 0.0444959 | + | 0.0513510i | ||||
\(767\) | 1215.28 | − | 174.731i | 1.58446 | − | 0.227811i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 282.593 | − | 326.130i | 0.367481 | − | 0.424096i | −0.541651 | − | 0.840603i | \(-0.682201\pi\) |
0.909132 | + | 0.416508i | \(0.136746\pi\) | |||||||
\(770\) | −157.546 | + | 245.147i | −0.204605 | + | 0.318372i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −229.847 | + | 265.257i | −0.297729 | + | 0.343597i | ||||
\(773\) | 108.577 | − | 369.778i | 0.140461 | − | 0.478367i | −0.858972 | − | 0.512022i | \(-0.828897\pi\) |
0.999434 | + | 0.0336548i | \(0.0107147\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −488.957 | − | 564.287i | −0.630913 | − | 0.728112i | ||||
\(776\) | 436.289 | − | 199.246i | 0.562228 | − | 0.256761i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 248.338 | − | 543.784i | 0.319200 | − | 0.698951i | ||||
\(779\) | −194.068 | − | 27.9027i | −0.249124 | − | 0.0358186i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 264.576 | 0.338766 | ||||||||
\(782\) | −379.910 | − | 481.887i | −0.485818 | − | 0.616224i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 305.348 | − | 196.235i | 0.389474 | − | 0.250300i | ||||
\(785\) | −779.604 | − | 112.090i | −0.993126 | − | 0.142790i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1132.28 | − | 332.467i | 1.43873 | − | 0.422448i | 0.532929 | − | 0.846160i | \(-0.321091\pi\) |
0.905797 | + | 0.423712i | \(0.139273\pi\) | |||||||
\(788\) | −48.2026 | + | 22.0134i | −0.0611708 | + | 0.0279358i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −185.592 | − | 1290.82i | −0.234926 | − | 1.63395i | ||||
\(791\) | −232.281 | + | 791.078i | −0.293655 | + | 1.00010i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −63.7794 | − | 40.9885i | −0.0804280 | − | 0.0516879i | ||||
\(794\) | 167.366 | − | 260.426i | 0.210788 | − | 0.327993i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 93.5668 | + | 27.4737i | 0.117546 | + | 0.0345147i | ||||
\(797\) | 1305.24 | − | 187.665i | 1.63769 | − | 0.235464i | 0.738890 | − | 0.673826i | \(-0.235350\pi\) |
0.898799 | + | 0.438362i | \(0.144441\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 621.378 | + | 1360.63i | 0.777695 | + | 1.70291i | ||||
\(800\) | −32.8425 | − | 111.851i | −0.0410531 | − | 0.139814i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −73.0455 | + | 508.042i | −0.0910791 | + | 0.633469i | ||||
\(803\) | 0.859528 | + | 1.33745i | 0.00107040 | + | 0.00166557i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1441.93 | + | 1136.79i | −1.79122 | + | 1.41216i | ||||
\(806\) | 1248.45i | 1.54894i | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 12.0148 | − | 83.5649i | 0.0148698 | − | 0.103422i | ||||
\(809\) | −129.775 | − | 59.2663i | −0.160414 | − | 0.0732587i | 0.333590 | − | 0.942718i | \(-0.391740\pi\) |
−0.494004 | + | 0.869460i | \(0.664467\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 340.546 | + | 745.692i | 0.419909 | + | 0.919473i | 0.994858 | + | 0.101283i | \(0.0322948\pi\) |
−0.574949 | + | 0.818190i | \(0.694978\pi\) | |||||||
\(812\) | −474.687 | + | 411.319i | −0.584590 | + | 0.506551i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −162.919 | − | 47.8374i | −0.200147 | − | 0.0587684i | ||||
\(815\) | 531.330 | + | 460.400i | 0.651938 | + | 0.564908i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 37.2076 | + | 23.9119i | 0.0455417 | + | 0.0292679i | ||||
\(818\) | 683.849 | + | 592.558i | 0.836001 | + | 0.724399i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −30.7031 | − | 213.545i | −0.0374428 | − | 0.260420i | ||||
\(821\) | 1188.87 | − | 1030.16i | 1.44808 | − | 1.25477i | 0.536338 | − | 0.844003i | \(-0.319807\pi\) |
0.911741 | − | 0.410765i | \(-0.134738\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 405.529 | − | 119.074i | 0.492745 | − | 0.144683i | −0.0259142 | − | 0.999664i | \(-0.508250\pi\) |
0.518659 | + | 0.854981i | \(0.326431\pi\) | |||||||
\(824\) | −144.637 | − | 66.0535i | −0.175530 | − | 0.0801620i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 708.709 | − | 455.460i | 0.858001 | − | 0.551404i | ||||
\(827\) | 743.481i | 0.899009i | 0.893278 | + | 0.449505i | \(0.148399\pi\) | ||||
−0.893278 | + | 0.449505i | \(0.851601\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 204.499 | 0.246681 | 0.123341 | − | 0.992364i | \(-0.460639\pi\) | ||||
0.123341 | + | 0.992364i | \(0.460639\pi\) | |||||||
\(830\) | −154.256 | − | 240.027i | −0.185851 | − | 0.289189i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −80.9710 | + | 177.302i | −0.0973209 | + | 0.213103i | ||||
\(833\) | 482.294 | + | 1642.54i | 0.578984 | + | 1.97184i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −10.9731 | − | 12.6636i | −0.0131414 | − | 0.0151660i | ||||
\(836\) | −62.7194 | + | 9.01769i | −0.0750232 | + | 0.0107867i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −257.135 | + | 296.750i | −0.306844 | + | 0.354117i | ||||
\(839\) | 414.268 | − | 644.614i | 0.493764 | − | 0.768312i | −0.501537 | − | 0.865136i | \(-0.667232\pi\) |
0.995302 | + | 0.0968238i | \(0.0308683\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −88.5462 | + | 102.188i | −0.105287 | + | 0.121507i | ||||
\(842\) | −319.974 | + | 1089.73i | −0.380017 | + | 1.29422i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 404.872 | + | 467.247i | 0.479706 | + | 0.553610i | ||||
\(845\) | −2608.51 | + | 1191.27i | −3.08700 | + | 1.40978i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 561.482 | − | 1229.47i | 0.662907 | − | 1.45156i | ||||
\(848\) | −260.491 | − | 37.4530i | −0.307183 | − | 0.0441662i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 549.801 | 0.646825 | ||||||||
\(851\) | −872.264 | − | 619.539i | −1.02499 | − | 0.728013i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 514.895 | − | 330.903i | 0.603628 | − | 0.387928i | −0.202835 | − | 0.979213i | \(-0.565015\pi\) |
0.806463 | + | 0.591285i | \(0.201379\pi\) | |||||||
\(854\) | −51.4910 | − | 7.40329i | −0.0602939 | − | 0.00866895i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 34.5779 | − | 10.1530i | 0.0403947 | − | 0.0118610i | ||||
\(857\) | −1237.48 | + | 565.140i | −1.44397 | + | 0.659440i | −0.974680 | − | 0.223604i | \(-0.928218\pi\) |
−0.469291 | + | 0.883044i | \(0.655490\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −234.463 | − | 1630.73i | −0.272949 | − | 1.89840i | −0.417120 | − | 0.908851i | \(-0.636961\pi\) |
0.144171 | − | 0.989553i | \(-0.453948\pi\) | |||||||
\(860\) | −13.7113 | + | 46.6963i | −0.0159433 | + | 0.0542980i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 174.186 | + | 111.942i | 0.202072 | + | 0.129864i | ||||
\(863\) | 917.140 | − | 1427.10i | 1.06273 | − | 1.65365i | 0.376220 | − | 0.926530i | \(-0.377224\pi\) |
0.686514 | − | 0.727117i | \(-0.259140\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −144.961 | − | 42.5644i | −0.167585 | − | 0.0492074i | ||||
\(866\) | 57.3552 | − | 8.24643i | 0.0662300 | − | 0.00952244i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 355.855 | + | 779.214i | 0.409972 | + | 0.897712i | ||||
\(869\) | −99.2923 | − | 338.158i | −0.114260 | − | 0.389135i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 245.762 | − | 1709.31i | 0.282161 | − | 1.96247i | ||||
\(872\) | −137.363 | − | 213.741i | −0.157526 | − | 0.245116i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −392.136 | − | 75.0835i | −0.448668 | − | 0.0859079i | ||||
\(875\) | 350.670i | 0.400766i | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −213.219 | + | 1482.97i | −0.243123 | + | 1.69096i | 0.393137 | + | 0.919480i | \(0.371390\pi\) |
−0.636259 | + | 0.771475i | \(0.719519\pi\) | |||||||
\(878\) | 413.005 | + | 188.613i | 0.470393 | + | 0.214821i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −28.9643 | − | 63.4230i | −0.0329140 | − | 0.0720715i | ||||
\(881\) | −911.751 | + | 790.037i | −1.03490 | + | 0.896750i | −0.994739 | − | 0.102443i | \(-0.967334\pi\) |
−0.0401659 | + | 0.999193i | \(0.512789\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −119.197 | − | 34.9993i | −0.134990 | − | 0.0396368i | 0.213539 | − | 0.976934i | \(-0.431501\pi\) |
−0.348530 | + | 0.937298i | \(0.613319\pi\) | |||||||
\(884\) | −694.755 | − | 602.009i | −0.785922 | − | 0.681006i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 89.0188 | + | 57.2089i | 0.100473 | + | 0.0645699i | ||||
\(887\) | −1060.70 | − | 919.102i | −1.19583 | − | 1.03619i | −0.998438 | − | 0.0558663i | \(-0.982208\pi\) |
−0.197390 | − | 0.980325i | \(-0.563247\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −205.258 | − | 1427.60i | −0.230886 | − | 1.60585i | ||||
\(890\) | 1020.09 | − | 883.917i | 1.14617 | − | 0.993165i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −194.763 | + | 57.1876i | −0.218344 | + | 0.0641116i | ||||
\(893\) | 885.289 | + | 404.298i | 0.991365 | + | 0.452741i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −44.7411 | + | 28.7533i | −0.0499900 | + | 0.0321266i | ||||
\(896\) | 133.742i | 0.149266i | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −787.993 | −0.877498 | ||||||||
\(899\) | −520.407 | − | 809.770i | −0.578873 | − | 0.900745i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 515.614 | − | 1129.04i | 0.572269 | − | 1.25309i | ||||
\(902\) | −16.4263 | − | 55.9427i | −0.0182109 | − | 0.0620208i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −129.184 | − | 149.086i | −0.142902 | − | 0.164918i | ||||
\(905\) | 85.5968 | − | 12.3070i | 0.0945820 | − | 0.0135988i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 85.7957 | − | 99.0135i | 0.0945929 | − | 0.109166i | −0.706479 | − | 0.707734i | \(-0.749718\pi\) |
0.801072 | + | 0.598568i | \(0.204263\pi\) | |||||||
\(908\) | 154.556 | − | 240.494i | 0.170216 | − | 0.264861i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1801.37 | + | 2078.89i | −1.97953 | + | 2.28449i | ||||
\(911\) | 295.223 | − | 1005.44i | 0.324064 | − | 1.10366i | −0.622894 | − | 0.782306i | \(-0.714043\pi\) |
0.946959 | − | 0.321356i | \(-0.104138\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −50.4954 | − | 58.2748i | −0.0553072 | − | 0.0638279i | ||||
\(914\) | 394.130 | − | 179.993i | 0.431215 | − | 0.196929i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 320.986 | − | 702.861i | 0.350421 | − | 0.767315i | ||||
\(917\) | −101.877 | − | 14.6477i | −0.111098 | − | 0.0159735i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1235.85 | 1.34478 | 0.672389 | − | 0.740198i | \(-0.265268\pi\) | ||||
0.672389 | + | 0.740198i | \(0.265268\pi\) | |||||||
\(920\) | −42.2927 | − | 437.289i | −0.0459704 | − | 0.475315i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −769.718 | + | 494.668i | −0.834835 | + | 0.536516i | ||||
\(923\) | 2472.08 | + | 355.431i | 2.67831 | + | 0.385083i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 919.769 | − | 270.069i | 0.994345 | − | 0.291966i | ||||
\(926\) | −861.924 | + | 393.628i | −0.930803 | + | 0.425084i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −21.3876 | − | 148.754i | −0.0230470 | − | 0.160295i | ||||
\(929\) | 167.180 | − | 569.363i | 0.179957 | − | 0.612877i | −0.819264 | − | 0.573416i | \(-0.805618\pi\) |
0.999221 | − | 0.0394607i | \(-0.0125640\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 937.016 | + | 602.183i | 1.00646 | + | 0.646814i | ||||
\(932\) | −438.785 | + | 682.763i | −0.470799 | + | 0.732578i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 979.718 | + | 287.671i | 1.04895 | + | 0.307999i | ||||
\(935\) | 325.495 | − | 46.7991i | 0.348123 | − | 0.0500525i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −534.327 | − | 1170.01i | −0.570253 | − | 1.24868i | −0.946663 | − | 0.322226i | \(-0.895569\pi\) |
0.376410 | − | 0.926453i | \(-0.377158\pi\) | |||||||
\(938\) | −333.828 | − | 1136.91i | −0.355893 | − | 1.21206i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −152.407 | + | 1060.01i | −0.162135 | + | 1.12767i | ||||
\(941\) | −852.394 | − | 1326.35i | −0.905838 | − | 1.40951i | −0.912296 | − | 0.409532i | \(-0.865692\pi\) |
0.00645768 | − | 0.999979i | \(-0.497944\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 17.0342 | − | 366.982i | 0.0180639 | − | 0.389164i | ||||
\(944\) | 201.569i | 0.213526i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.87180 | + | 13.0187i | −0.00197865 | + | 0.0137618i | ||||
\(947\) | 645.532 | + | 294.805i | 0.681660 | + | 0.311304i | 0.725982 | − | 0.687713i | \(-0.241385\pi\) |
−0.0443219 | + | 0.999017i | \(0.514113\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.23431 | + | 13.6512i | 0.00656934 | + | 0.0143849i | ||||
\(950\) | 270.352 | − | 234.261i | 0.284581 | − | 0.246591i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −605.225 | − | 177.710i | −0.635740 | − | 0.186670i | ||||
\(953\) | −232.035 | − | 201.060i | −0.243479 | − | 0.210975i | 0.524569 | − | 0.851368i | \(-0.324226\pi\) |
−0.768048 | + | 0.640392i | \(0.778772\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 189.731 | + | 121.933i | 0.198672 | + | 0.127679i | ||||
\(956\) | −122.335 | − | 106.004i | −0.127965 | − | 0.110883i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 23.5542 | + | 163.823i | 0.0245868 | + | 0.171005i | ||||
\(959\) | −1936.23 | + | 1677.75i | −2.01901 | + | 1.74948i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −337.542 | + | 99.1112i | −0.351240 | + | 0.103133i | ||||
\(962\) | −1457.98 | − | 665.837i | −1.51557 | − | 0.692138i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 435.999 | − | 280.200i | 0.452281 | − | 0.290664i | ||||
\(965\) | − | 1185.16i | − | 1.22814i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −330.476 | −0.341754 | −0.170877 | − | 0.985292i | \(-0.554660\pi\) | ||||
−0.170877 | + | 0.985292i | \(0.554660\pi\) | |||||||
\(968\) | 174.841 | + | 272.059i | 0.180621 | + | 0.281052i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −672.788 | + | 1473.20i | −0.693596 | + | 1.51876i | ||||
\(971\) | 247.172 | + | 841.789i | 0.254554 | + | 0.866930i | 0.983276 | + | 0.182121i | \(0.0582963\pi\) |
−0.728722 | + | 0.684809i | \(0.759886\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1571.45 | + | 1813.55i | 1.61506 | + | 1.86387i | ||||
\(974\) | −658.866 | + | 94.7307i | −0.676454 | + | 0.0972594i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 8.15089 | − | 9.40663i | 0.00835132 | − | 0.00963794i | ||||
\(977\) | 372.880 | − | 580.213i | 0.381659 | − | 0.593872i | −0.596277 | − | 0.802779i | \(-0.703354\pi\) |
0.977936 | + | 0.208906i | \(0.0669904\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 238.881 | − | 275.683i | 0.244005 | − | 0.281597i | ||||
\(980\) | −345.297 | + | 1175.97i | −0.352344 | + | 1.19997i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 394.201 | + | 454.932i | 0.401427 | + | 0.463271i | ||||
\(983\) | 1025.01 | − | 468.107i | 1.04274 | − | 0.476203i | 0.180962 | − | 0.983490i | \(-0.442079\pi\) |
0.861777 | + | 0.507288i | \(0.169352\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 74.3319 | − | 162.764i | 0.0754638 | − | 0.165243i | ||||
\(986\) | 701.577 | + | 100.871i | 0.711538 | + | 0.102304i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −598.136 | −0.605400 | ||||||||
\(989\) | −37.8856 | + | 73.7078i | −0.0383070 | + | 0.0745276i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −481.780 | + | 309.621i | −0.486155 | + | 0.312433i | −0.760657 | − | 0.649153i | \(-0.775123\pi\) |
0.274502 | + | 0.961586i | \(0.411487\pi\) | |||||||
\(992\) | −202.876 | − | 29.1691i | −0.204512 | − | 0.0294043i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1644.25 | − | 482.796i | 1.65418 | − | 0.485710i | ||||
\(995\) | −299.525 | + | 136.789i | −0.301031 | + | 0.137476i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 141.087 | + | 981.283i | 0.141512 | + | 0.984235i | 0.929573 | + | 0.368638i | \(0.120176\pi\) |
−0.788061 | + | 0.615597i | \(0.788915\pi\) | |||||||
\(998\) | 100.825 | − | 343.380i | 0.101027 | − | 0.344068i | ||||
\(999\) | 0 | 0 |
(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 | 414.3.k.a.35.1 | ✓ | 80 | |
3.2 | odd | 2 | inner | 414.3.k.a.35.8 | yes | 80 | |
23.2 | even | 11 | inner | 414.3.k.a.71.8 | yes | 80 | |
69.2 | odd | 22 | inner | 414.3.k.a.71.1 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
414.3.k.a.35.1 | ✓ | 80 | 1.1 | even | 1 | trivial | |
414.3.k.a.35.8 | yes | 80 | 3.2 | odd | 2 | inner | |
414.3.k.a.71.1 | yes | 80 | 69.2 | odd | 22 | inner | |
414.3.k.a.71.8 | yes | 80 | 23.2 | even | 11 | inner |