Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,3,Mod(2,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.f (of order \(20\), degree \(8\), 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: | \(0.681200660901\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 12.1 | ||
Character | \(\chi\) | \(=\) | 25.12 |
Dual form | 25.3.f.a.23.1 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.513943 | − | 3.24491i | −0.256972 | − | 1.62246i | −0.691902 | − | 0.721991i | \(-0.743227\pi\) |
0.434931 | − | 0.900464i | \(-0.356773\pi\) | |||||||
\(3\) | 2.81033 | + | 1.43193i | 0.936776 | + | 0.477311i | 0.854588 | − | 0.519306i | \(-0.173809\pi\) |
0.0821872 | + | 0.996617i | \(0.473809\pi\) | |||||||
\(4\) | −6.46108 | + | 2.09933i | −1.61527 | + | 0.524833i | ||||
\(5\) | −4.99960 | − | 0.0628765i | −0.999921 | − | 0.0125753i | ||||
\(6\) | 3.20215 | − | 9.85519i | 0.533691 | − | 1.64253i | ||||
\(7\) | 7.51823 | + | 7.51823i | 1.07403 | + | 1.07403i | 0.997031 | + | 0.0770020i | \(0.0245348\pi\) |
0.0770020 | + | 0.997031i | \(0.475465\pi\) | |||||||
\(8\) | 4.16668 | + | 8.17758i | 0.520835 | + | 1.02220i | ||||
\(9\) | 0.557438 | + | 0.767248i | 0.0619376 | + | 0.0852498i | ||||
\(10\) | 2.36548 | + | 16.2556i | 0.236548 | + | 1.62556i | ||||
\(11\) | −1.41944 | − | 1.03128i | −0.129040 | − | 0.0937529i | 0.521393 | − | 0.853317i | \(-0.325413\pi\) |
−0.650433 | + | 0.759564i | \(0.725413\pi\) | |||||||
\(12\) | −21.1638 | − | 3.35202i | −1.76365 | − | 0.279335i | ||||
\(13\) | 0.639079 | − | 4.03498i | 0.0491599 | − | 0.310383i | −0.950840 | − | 0.309683i | \(-0.899777\pi\) |
1.00000 | 0.000700342i | \(-0.000222926\pi\) | ||||||||
\(14\) | 20.5320 | − | 28.2599i | 1.46657 | − | 2.01857i | ||||
\(15\) | −13.9605 | − | 7.33580i | −0.930699 | − | 0.489054i | ||||
\(16\) | 2.40958 | − | 1.75066i | 0.150599 | − | 0.109416i | ||||
\(17\) | −9.09666 | + | 4.63498i | −0.535098 | + | 0.272646i | −0.700589 | − | 0.713565i | \(-0.747079\pi\) |
0.165491 | + | 0.986211i | \(0.447079\pi\) | |||||||
\(18\) | 2.20316 | − | 2.20316i | 0.122398 | − | 0.122398i | ||||
\(19\) | −23.1149 | − | 7.51050i | −1.21658 | − | 0.395289i | −0.370742 | − | 0.928736i | \(-0.620897\pi\) |
−0.845834 | + | 0.533447i | \(0.820897\pi\) | |||||||
\(20\) | 32.4348 | − | 10.0896i | 1.62174 | − | 0.504479i | ||||
\(21\) | 10.3631 | + | 31.8943i | 0.493480 | + | 1.51878i | ||||
\(22\) | −2.61691 | + | 5.13597i | −0.118950 | + | 0.233453i | ||||
\(23\) | 24.8384 | − | 3.93402i | 1.07993 | − | 0.171044i | 0.408978 | − | 0.912544i | \(-0.365885\pi\) |
0.670953 | + | 0.741500i | \(0.265885\pi\) | |||||||
\(24\) | 28.9481i | 1.20617i | ||||||||
\(25\) | 24.9921 | + | 0.628715i | 0.999684 | + | 0.0251486i | ||||
\(26\) | −13.4216 | −0.516216 | ||||||||
\(27\) | −3.97276 | − | 25.0830i | −0.147139 | − | 0.929000i | ||||
\(28\) | −64.3591 | − | 32.7926i | −2.29854 | − | 1.17116i | ||||
\(29\) | 0.252929 | − | 0.0821815i | 0.00872167 | − | 0.00283384i | −0.304653 | − | 0.952463i | \(-0.598540\pi\) |
0.313375 | + | 0.949630i | \(0.398540\pi\) | |||||||
\(30\) | −16.6291 | + | 49.0707i | −0.554304 | + | 1.63569i | ||||
\(31\) | 1.10744 | − | 3.40835i | 0.0357239 | − | 0.109947i | −0.931604 | − | 0.363474i | \(-0.881591\pi\) |
0.967328 | + | 0.253527i | \(0.0815906\pi\) | |||||||
\(32\) | 19.0399 | + | 19.0399i | 0.594997 | + | 0.594997i | ||||
\(33\) | −2.51236 | − | 4.93078i | −0.0761320 | − | 0.149418i | ||||
\(34\) | 19.7153 | + | 27.1357i | 0.579861 | + | 0.798110i | ||||
\(35\) | −37.1155 | − | 38.0609i | −1.06044 | − | 1.08745i | ||||
\(36\) | −5.21236 | − | 3.78700i | −0.144788 | − | 0.105194i | ||||
\(37\) | 25.0718 | + | 3.97099i | 0.677617 | + | 0.107324i | 0.485751 | − | 0.874097i | \(-0.338546\pi\) |
0.191866 | + | 0.981421i | \(0.438546\pi\) | |||||||
\(38\) | −12.4911 | + | 78.8659i | −0.328714 | + | 2.07542i | ||||
\(39\) | 7.57385 | − | 10.4245i | 0.194201 | − | 0.267295i | ||||
\(40\) | −20.3176 | − | 41.1466i | −0.507940 | − | 1.02867i | ||||
\(41\) | −1.53440 | + | 1.11481i | −0.0374243 | + | 0.0271904i | −0.606340 | − | 0.795205i | \(-0.707363\pi\) |
0.568916 | + | 0.822396i | \(0.307363\pi\) | |||||||
\(42\) | 98.1681 | − | 50.0191i | 2.33733 | − | 1.19093i | ||||
\(43\) | 34.0593 | − | 34.0593i | 0.792078 | − | 0.792078i | −0.189754 | − | 0.981832i | \(-0.560769\pi\) |
0.981832 | + | 0.189754i | \(0.0607691\pi\) | |||||||
\(44\) | 11.3361 | + | 3.68332i | 0.257639 | + | 0.0837119i | ||||
\(45\) | −2.73873 | − | 3.87099i | −0.0608607 | − | 0.0860219i | ||||
\(46\) | −25.5311 | − | 78.5765i | −0.555023 | − | 1.70818i | ||||
\(47\) | −20.9070 | + | 41.0322i | −0.444829 | + | 0.873026i | 0.554341 | + | 0.832290i | \(0.312970\pi\) |
−0.999170 | + | 0.0407366i | \(0.987030\pi\) | |||||||
\(48\) | 9.27854 | − | 1.46958i | 0.193303 | − | 0.0306162i | ||||
\(49\) | 64.0476i | 1.30709i | ||||||||
\(50\) | −10.8044 | − | 81.4202i | −0.216088 | − | 1.62840i | ||||
\(51\) | −32.2016 | −0.631404 | ||||||||
\(52\) | 4.34163 | + | 27.4120i | 0.0834929 | + | 0.527153i | ||||
\(53\) | 2.70446 | + | 1.37799i | 0.0510276 | + | 0.0259998i | 0.479318 | − | 0.877641i | \(-0.340884\pi\) |
−0.428291 | + | 0.903641i | \(0.640884\pi\) | |||||||
\(54\) | −79.3503 | + | 25.7825i | −1.46945 | + | 0.477454i | ||||
\(55\) | 7.03178 | + | 5.24525i | 0.127851 | + | 0.0953682i | ||||
\(56\) | −30.1548 | + | 92.8070i | −0.538479 | + | 1.65727i | ||||
\(57\) | −54.2060 | − | 54.2060i | −0.950982 | − | 0.950982i | ||||
\(58\) | −0.396662 | − | 0.778494i | −0.00683901 | − | 0.0134223i | ||||
\(59\) | −11.7686 | − | 16.1981i | −0.199468 | − | 0.274544i | 0.697552 | − | 0.716534i | \(-0.254273\pi\) |
−0.897020 | + | 0.441990i | \(0.854273\pi\) | |||||||
\(60\) | 105.600 | + | 18.0895i | 1.76000 | + | 0.301492i | ||||
\(61\) | 63.6100 | + | 46.2154i | 1.04279 | + | 0.757629i | 0.970828 | − | 0.239778i | \(-0.0770748\pi\) |
0.0719595 | + | 0.997408i | \(0.477075\pi\) | |||||||
\(62\) | −11.6290 | − | 1.84185i | −0.187564 | − | 0.0297072i | ||||
\(63\) | −1.57740 | + | 9.95930i | −0.0250381 | + | 0.158084i | ||||
\(64\) | 59.0000 | − | 81.2066i | 0.921876 | − | 1.26885i | ||||
\(65\) | −3.44885 | + | 20.1331i | −0.0530592 | + | 0.309741i | ||||
\(66\) | −14.7087 | + | 10.6865i | −0.222859 | + | 0.161917i | ||||
\(67\) | −72.5829 | + | 36.9828i | −1.08333 | + | 0.551982i | −0.902130 | − | 0.431465i | \(-0.857997\pi\) |
−0.181196 | + | 0.983447i | \(0.557997\pi\) | |||||||
\(68\) | 49.0439 | − | 49.0439i | 0.721234 | − | 0.721234i | ||||
\(69\) | 75.4373 | + | 24.5111i | 1.09329 | + | 0.355233i | ||||
\(70\) | −104.429 | + | 139.997i | −1.49184 | + | 1.99996i | ||||
\(71\) | −0.716327 | − | 2.20463i | −0.0100891 | − | 0.0310511i | 0.945885 | − | 0.324501i | \(-0.105196\pi\) |
−0.955974 | + | 0.293450i | \(0.905196\pi\) | |||||||
\(72\) | −3.95156 | + | 7.75537i | −0.0548828 | + | 0.107714i | ||||
\(73\) | −99.1579 | + | 15.7051i | −1.35833 | + | 0.215138i | −0.792745 | − | 0.609553i | \(-0.791349\pi\) |
−0.565583 | + | 0.824691i | \(0.691349\pi\) | |||||||
\(74\) | − | 83.3967i | − | 1.12698i | ||||||
\(75\) | 69.3357 | + | 37.5539i | 0.924476 | + | 0.500719i | ||||
\(76\) | 165.114 | 2.17256 | ||||||||
\(77\) | −2.91825 | − | 18.4251i | −0.0378993 | − | 0.239287i | ||||
\(78\) | −37.7191 | − | 19.2188i | −0.483578 | − | 0.246395i | ||||
\(79\) | 16.4258 | − | 5.33707i | 0.207922 | − | 0.0675578i | −0.203204 | − | 0.979136i | \(-0.565136\pi\) |
0.411126 | + | 0.911578i | \(0.365136\pi\) | |||||||
\(80\) | −12.1570 | + | 8.60111i | −0.151963 | + | 0.107514i | ||||
\(81\) | 27.3900 | − | 84.2978i | 0.338148 | − | 1.04071i | ||||
\(82\) | 4.40604 | + | 4.40604i | 0.0537322 | + | 0.0537322i | ||||
\(83\) | −2.03502 | − | 3.99395i | −0.0245183 | − | 0.0481199i | 0.878422 | − | 0.477885i | \(-0.158596\pi\) |
−0.902941 | + | 0.429765i | \(0.858596\pi\) | |||||||
\(84\) | −133.913 | − | 184.316i | −1.59421 | − | 2.19424i | ||||
\(85\) | 45.7712 | − | 22.6011i | 0.538484 | − | 0.265895i | ||||
\(86\) | −128.024 | − | 93.0149i | −1.48865 | − | 1.08157i | ||||
\(87\) | 0.828490 | + | 0.131220i | 0.00952288 | + | 0.00150828i | ||||
\(88\) | 2.51904 | − | 15.9046i | 0.0286254 | − | 0.180734i | ||||
\(89\) | −85.4992 | + | 117.680i | −0.960665 | + | 1.32224i | −0.0140418 | + | 0.999901i | \(0.504470\pi\) |
−0.946624 | + | 0.322341i | \(0.895530\pi\) | |||||||
\(90\) | −11.1535 | + | 10.8764i | −0.123927 | + | 0.120849i | ||||
\(91\) | 35.1407 | − | 25.5312i | 0.386161 | − | 0.280563i | ||||
\(92\) | −152.224 | + | 77.5620i | −1.65461 | + | 0.843065i | ||||
\(93\) | 7.99280 | − | 7.99280i | 0.0859441 | − | 0.0859441i | ||||
\(94\) | 143.891 | + | 46.7530i | 1.53075 | + | 0.497372i | ||||
\(95\) | 115.093 | + | 39.0029i | 1.21151 | + | 0.410557i | ||||
\(96\) | 26.2445 | + | 80.7723i | 0.273380 | + | 0.841378i | ||||
\(97\) | 63.3499 | − | 124.331i | 0.653092 | − | 1.28176i | −0.292455 | − | 0.956279i | \(-0.594472\pi\) |
0.945547 | − | 0.325485i | \(-0.105528\pi\) | |||||||
\(98\) | 207.829 | − | 32.9168i | 2.12070 | − | 0.335886i | ||||
\(99\) | − | 1.66394i | − | 0.0168074i | ||||||
\(100\) | −162.796 | + | 48.4045i | −1.62796 | + | 0.484045i | ||||
\(101\) | −90.5620 | −0.896654 | −0.448327 | − | 0.893870i | \(-0.647980\pi\) | ||||
−0.448327 | + | 0.893870i | \(0.647980\pi\) | |||||||
\(102\) | 16.5498 | + | 104.491i | 0.162253 | + | 1.02442i | ||||
\(103\) | 93.1352 | + | 47.4548i | 0.904226 | + | 0.460726i | 0.843316 | − | 0.537417i | \(-0.180600\pi\) |
0.0609092 | + | 0.998143i | \(0.480600\pi\) | |||||||
\(104\) | 35.6592 | − | 11.5864i | 0.342877 | − | 0.111408i | ||||
\(105\) | −49.8059 | − | 160.110i | −0.474342 | − | 1.52486i | ||||
\(106\) | 3.08152 | − | 9.48394i | 0.0290709 | − | 0.0894711i | ||||
\(107\) | −2.72254 | − | 2.72254i | −0.0254443 | − | 0.0254443i | 0.694270 | − | 0.719714i | \(-0.255727\pi\) |
−0.719714 | + | 0.694270i | \(0.755727\pi\) | |||||||
\(108\) | 78.3259 | + | 153.723i | 0.725239 | + | 1.42336i | ||||
\(109\) | −43.6029 | − | 60.0142i | −0.400026 | − | 0.550589i | 0.560724 | − | 0.828003i | \(-0.310523\pi\) |
−0.960751 | + | 0.277414i | \(0.910523\pi\) | |||||||
\(110\) | 13.4064 | − | 25.5133i | 0.121877 | − | 0.231939i | ||||
\(111\) | 64.7739 | + | 47.0610i | 0.583548 | + | 0.423973i | ||||
\(112\) | 31.2777 | + | 4.95389i | 0.279265 | + | 0.0442312i | ||||
\(113\) | −32.5292 | + | 205.381i | −0.287869 | + | 1.81753i | 0.242941 | + | 0.970041i | \(0.421888\pi\) |
−0.530810 | + | 0.847491i | \(0.678112\pi\) | |||||||
\(114\) | −148.035 | + | 203.752i | −1.29855 | + | 1.78730i | ||||
\(115\) | −124.430 | + | 18.1068i | −1.08200 | + | 0.157450i | ||||
\(116\) | −1.46166 | + | 1.06196i | −0.0126006 | + | 0.00915484i | ||||
\(117\) | 3.45208 | − | 1.75892i | 0.0295050 | − | 0.0150335i | ||||
\(118\) | −46.5130 | + | 46.5130i | −0.394178 | + | 0.394178i | ||||
\(119\) | −103.238 | − | 33.5440i | −0.867544 | − | 0.281882i | ||||
\(120\) | 1.82015 | − | 144.729i | 0.0151679 | − | 1.20607i | ||||
\(121\) | −36.4398 | − | 112.150i | −0.301155 | − | 0.926861i | ||||
\(122\) | 117.273 | − | 230.161i | 0.961253 | − | 1.88656i | ||||
\(123\) | −5.90849 | + | 0.935812i | −0.0480365 | + | 0.00760823i | ||||
\(124\) | 24.3465i | 0.196343i | ||||||||
\(125\) | −124.911 | − | 4.71474i | −0.999288 | − | 0.0377179i | ||||
\(126\) | 33.1277 | 0.262918 | ||||||||
\(127\) | 14.3730 | + | 90.7473i | 0.113173 | + | 0.714545i | 0.977393 | + | 0.211431i | \(0.0678125\pi\) |
−0.864220 | + | 0.503114i | \(0.832188\pi\) | |||||||
\(128\) | −197.864 | − | 100.817i | −1.54581 | − | 0.787631i | ||||
\(129\) | 144.489 | − | 46.9472i | 1.12007 | − | 0.363932i | ||||
\(130\) | 67.1027 | + | 0.843904i | 0.516175 | + | 0.00649157i | ||||
\(131\) | 43.2439 | − | 133.091i | 0.330106 | − | 1.01596i | −0.638976 | − | 0.769226i | \(-0.720642\pi\) |
0.969083 | − | 0.246736i | \(-0.0793582\pi\) | |||||||
\(132\) | 26.5839 | + | 26.5839i | 0.201393 | + | 0.201393i | ||||
\(133\) | −117.318 | − | 230.249i | −0.882088 | − | 1.73120i | ||||
\(134\) | 157.309 | + | 216.518i | 1.17395 | + | 1.61580i | ||||
\(135\) | 18.2851 | + | 125.655i | 0.135445 | + | 0.930777i | ||||
\(136\) | −75.8059 | − | 55.0762i | −0.557396 | − | 0.404972i | ||||
\(137\) | 221.537 | + | 35.0880i | 1.61706 | + | 0.256117i | 0.898378 | − | 0.439223i | \(-0.144746\pi\) |
0.718681 | + | 0.695340i | \(0.244746\pi\) | |||||||
\(138\) | 40.7657 | − | 257.384i | 0.295404 | − | 1.86510i | ||||
\(139\) | 52.6171 | − | 72.4212i | 0.378540 | − | 0.521016i | −0.576657 | − | 0.816986i | \(-0.695643\pi\) |
0.955197 | + | 0.295971i | \(0.0956431\pi\) | |||||||
\(140\) | 319.708 | + | 167.997i | 2.28363 | + | 1.19998i | ||||
\(141\) | −117.511 | + | 85.3766i | −0.833410 | + | 0.605508i | ||||
\(142\) | −6.78567 | + | 3.45747i | −0.0477864 | + | 0.0243484i | ||||
\(143\) | −5.06834 | + | 5.06834i | −0.0354429 | + | 0.0354429i | ||||
\(144\) | 2.68638 | + | 0.872859i | 0.0186554 | + | 0.00606152i | ||||
\(145\) | −1.26971 | + | 0.394972i | −0.00875662 | + | 0.00272394i | ||||
\(146\) | 101.923 | + | 313.687i | 0.698103 | + | 2.14854i | ||||
\(147\) | −91.7119 | + | 179.995i | −0.623890 | + | 1.22445i | ||||
\(148\) | −170.328 | + | 26.9772i | −1.15086 | + | 0.182279i | ||||
\(149\) | − | 137.402i | − | 0.922164i | −0.887357 | − | 0.461082i | \(-0.847461\pi\) | ||
0.887357 | − | 0.461082i | \(-0.152539\pi\) | |||||||
\(150\) | 86.2244 | − | 244.289i | 0.574830 | − | 1.62859i | ||||
\(151\) | −224.692 | −1.48802 | −0.744012 | − | 0.668166i | \(-0.767080\pi\) | ||||
−0.744012 | + | 0.668166i | \(0.767080\pi\) | |||||||
\(152\) | −34.8950 | − | 220.318i | −0.229572 | − | 1.44946i | ||||
\(153\) | −8.62701 | − | 4.39568i | −0.0563857 | − | 0.0287299i | ||||
\(154\) | −58.2879 | + | 18.9389i | −0.378493 | + | 0.122980i | ||||
\(155\) | −5.75107 | + | 16.9708i | −0.0371037 | + | 0.109489i | ||||
\(156\) | −27.0507 | + | 83.2536i | −0.173402 | + | 0.533677i | ||||
\(157\) | 23.3931 | + | 23.3931i | 0.149001 | + | 0.149001i | 0.777671 | − | 0.628671i | \(-0.216401\pi\) |
−0.628671 | + | 0.777671i | \(0.716401\pi\) | |||||||
\(158\) | −25.7602 | − | 50.5573i | −0.163040 | − | 0.319983i | ||||
\(159\) | 5.62723 | + | 7.74521i | 0.0353914 | + | 0.0487120i | ||||
\(160\) | −93.9949 | − | 96.3892i | −0.587468 | − | 0.602433i | ||||
\(161\) | 216.318 | + | 157.164i | 1.34359 | + | 0.976174i | ||||
\(162\) | −287.616 | − | 45.5538i | −1.77541 | − | 0.281197i | ||||
\(163\) | 23.7948 | − | 150.235i | 0.145980 | − | 0.921684i | −0.800596 | − | 0.599205i | \(-0.795484\pi\) |
0.946576 | − | 0.322480i | \(-0.104516\pi\) | |||||||
\(164\) | 7.57352 | − | 10.4241i | 0.0461800 | − | 0.0635613i | ||||
\(165\) | 12.2508 | + | 24.8099i | 0.0742471 | + | 0.150363i | ||||
\(166\) | −11.9141 | + | 8.65612i | −0.0717718 | + | 0.0521453i | ||||
\(167\) | 175.201 | − | 89.2693i | 1.04911 | − | 0.534547i | 0.157576 | − | 0.987507i | \(-0.449632\pi\) |
0.891531 | + | 0.452960i | \(0.149632\pi\) | |||||||
\(168\) | −217.638 | + | 217.638i | −1.29547 | + | 1.29547i | ||||
\(169\) | 144.856 | + | 47.0665i | 0.857135 | + | 0.278500i | ||||
\(170\) | −96.8624 | − | 136.908i | −0.569779 | − | 0.805339i | ||||
\(171\) | −7.12274 | − | 21.9215i | −0.0416534 | − | 0.128196i | ||||
\(172\) | −148.558 | + | 291.562i | −0.863710 | + | 1.69513i | ||||
\(173\) | −71.2599 | + | 11.2865i | −0.411907 | + | 0.0652396i | −0.358949 | − | 0.933357i | \(-0.616865\pi\) |
−0.0529577 | + | 0.998597i | \(0.516865\pi\) | |||||||
\(174\) | − | 2.75582i | − | 0.0158380i | ||||||
\(175\) | 183.169 | + | 192.623i | 1.04668 | + | 1.10070i | ||||
\(176\) | −5.22568 | −0.0296913 | ||||||||
\(177\) | −9.87906 | − | 62.3739i | −0.0558139 | − | 0.352395i | ||||
\(178\) | 425.801 | + | 216.957i | 2.39214 | + | 1.21886i | ||||
\(179\) | −162.358 | + | 52.7534i | −0.907029 | + | 0.294712i | −0.725135 | − | 0.688607i | \(-0.758223\pi\) |
−0.181894 | + | 0.983318i | \(0.558223\pi\) | |||||||
\(180\) | 25.8216 | + | 19.2612i | 0.143453 | + | 0.107007i | ||||
\(181\) | −104.793 | + | 322.519i | −0.578965 | + | 1.78187i | 0.0432982 | + | 0.999062i | \(0.486213\pi\) |
−0.622263 | + | 0.782808i | \(0.713787\pi\) | |||||||
\(182\) | −100.907 | − | 100.907i | −0.554433 | − | 0.554433i | ||||
\(183\) | 112.588 | + | 220.966i | 0.615233 | + | 1.20746i | ||||
\(184\) | 135.664 | + | 186.726i | 0.737307 | + | 1.01482i | ||||
\(185\) | −125.100 | − | 21.4298i | −0.676214 | − | 0.115837i | ||||
\(186\) | −30.0438 | − | 21.8281i | −0.161526 | − | 0.117355i | ||||
\(187\) | 17.6921 | + | 2.80216i | 0.0946103 | + | 0.0149848i | ||||
\(188\) | 48.9413 | − | 309.003i | 0.260326 | − | 1.64363i | ||||
\(189\) | 158.712 | − | 218.448i | 0.839745 | − | 1.15581i | ||||
\(190\) | 67.4095 | − | 393.513i | 0.354787 | − | 2.07112i | ||||
\(191\) | 263.275 | − | 191.280i | 1.37840 | − | 1.00147i | 0.381373 | − | 0.924421i | \(-0.375451\pi\) |
0.997028 | − | 0.0770457i | \(-0.0245487\pi\) | |||||||
\(192\) | 282.092 | − | 143.733i | 1.46923 | − | 0.748609i | ||||
\(193\) | 56.2302 | − | 56.2302i | 0.291348 | − | 0.291348i | −0.546265 | − | 0.837613i | \(-0.683951\pi\) |
0.837613 | + | 0.546265i | \(0.183951\pi\) | |||||||
\(194\) | −436.002 | − | 141.666i | −2.24743 | − | 0.730235i | ||||
\(195\) | −38.5217 | + | 51.6422i | −0.197547 | + | 0.264832i | ||||
\(196\) | −134.457 | − | 413.816i | −0.686006 | − | 2.11131i | ||||
\(197\) | −74.3737 | + | 145.967i | −0.377531 | + | 0.740947i | −0.999100 | − | 0.0424126i | \(-0.986496\pi\) |
0.621569 | + | 0.783360i | \(0.286496\pi\) | |||||||
\(198\) | −5.39933 | + | 0.855169i | −0.0272693 | + | 0.00431904i | ||||
\(199\) | − | 1.06434i | − | 0.00534845i | −0.999996 | − | 0.00267423i | \(-0.999149\pi\) | ||
0.999996 | − | 0.00267423i | \(-0.000851234\pi\) | |||||||
\(200\) | 98.9928 | + | 206.994i | 0.494964 | + | 1.03497i | ||||
\(201\) | −256.938 | −1.27830 | ||||||||
\(202\) | 46.5437 | + | 293.866i | 0.230415 | + | 1.45478i | ||||
\(203\) | 2.51943 | + | 1.28372i | 0.0124110 | + | 0.00632372i | ||||
\(204\) | 208.057 | − | 67.6018i | 1.01989 | − | 0.331381i | ||||
\(205\) | 7.74148 | − | 5.47711i | 0.0377633 | − | 0.0267176i | ||||
\(206\) | 106.120 | − | 326.605i | 0.515147 | − | 1.58546i | ||||
\(207\) | 16.8642 | + | 16.8642i | 0.0814698 | + | 0.0814698i | ||||
\(208\) | −5.52398 | − | 10.8414i | −0.0265576 | − | 0.0521222i | ||||
\(209\) | 25.0648 | + | 34.4987i | 0.119927 | + | 0.165066i | ||||
\(210\) | −493.947 | + | 243.903i | −2.35213 | + | 1.16144i | ||||
\(211\) | −191.101 | − | 138.843i | −0.905692 | − | 0.658024i | 0.0342298 | − | 0.999414i | \(-0.489102\pi\) |
−0.939922 | + | 0.341390i | \(0.889102\pi\) | |||||||
\(212\) | −20.3666 | − | 3.22575i | −0.0960688 | − | 0.0152158i | ||||
\(213\) | 1.14377 | − | 7.22146i | 0.00536980 | − | 0.0339036i | ||||
\(214\) | −7.43516 | + | 10.2336i | −0.0347438 | + | 0.0478207i | ||||
\(215\) | −172.425 | + | 168.142i | −0.801976 | + | 0.782054i | ||||
\(216\) | 188.565 | − | 137.001i | 0.872986 | − | 0.634262i | ||||
\(217\) | 33.9508 | − | 17.2988i | 0.156455 | − | 0.0797179i | ||||
\(218\) | −172.331 | + | 172.331i | −0.790510 | + | 0.790510i | ||||
\(219\) | −301.155 | − | 97.8511i | −1.37514 | − | 0.446809i | ||||
\(220\) | −56.4444 | − | 19.1279i | −0.256566 | − | 0.0869451i | ||||
\(221\) | 12.8886 | + | 39.6670i | 0.0583194 | + | 0.179489i | ||||
\(222\) | 119.419 | − | 234.372i | 0.537921 | − | 1.05573i | ||||
\(223\) | −65.8376 | + | 10.4276i | −0.295236 | + | 0.0467608i | −0.302295 | − | 0.953214i | \(-0.597753\pi\) |
0.00705953 | + | 0.999975i | \(0.497753\pi\) | |||||||
\(224\) | 286.293i | 1.27809i | ||||||||
\(225\) | 13.4492 | + | 19.5256i | 0.0597741 | + | 0.0867805i | ||||
\(226\) | 683.162 | 3.02284 | ||||||||
\(227\) | −57.9987 | − | 366.189i | −0.255501 | − | 1.61317i | −0.697794 | − | 0.716298i | \(-0.745835\pi\) |
0.442293 | − | 0.896870i | \(-0.354165\pi\) | |||||||
\(228\) | 464.026 | + | 236.433i | 2.03520 | + | 1.03699i | ||||
\(229\) | −39.3491 | + | 12.7853i | −0.171830 | + | 0.0558310i | −0.393669 | − | 0.919252i | \(-0.628794\pi\) |
0.221838 | + | 0.975083i | \(0.428794\pi\) | |||||||
\(230\) | 122.705 | + | 394.457i | 0.533498 | + | 1.71503i | ||||
\(231\) | 18.1823 | − | 55.9592i | 0.0787110 | − | 0.242248i | ||||
\(232\) | 1.72592 | + | 1.72592i | 0.00743930 | + | 0.00743930i | ||||
\(233\) | 16.0800 | + | 31.5588i | 0.0690129 | + | 0.135445i | 0.922936 | − | 0.384955i | \(-0.125783\pi\) |
−0.853923 | + | 0.520400i | \(0.825783\pi\) | |||||||
\(234\) | −7.48172 | − | 10.2977i | −0.0319732 | − | 0.0440073i | ||||
\(235\) | 107.107 | − | 203.830i | 0.455773 | − | 0.867363i | ||||
\(236\) | 110.043 | + | 79.9511i | 0.466285 | + | 0.338776i | ||||
\(237\) | 53.8042 | + | 8.52175i | 0.227022 | + | 0.0359568i | ||||
\(238\) | −55.7888 | + | 352.237i | −0.234407 | + | 1.47999i | ||||
\(239\) | 28.4156 | − | 39.1107i | 0.118894 | − | 0.163643i | −0.745422 | − | 0.666593i | \(-0.767752\pi\) |
0.864316 | + | 0.502950i | \(0.167752\pi\) | |||||||
\(240\) | −46.4814 | + | 6.76390i | −0.193673 | + | 0.0281829i | ||||
\(241\) | −168.371 | + | 122.329i | −0.698634 | + | 0.507587i | −0.879487 | − | 0.475923i | \(-0.842114\pi\) |
0.180853 | + | 0.983510i | \(0.442114\pi\) | |||||||
\(242\) | −345.189 | + | 175.883i | −1.42640 | + | 0.726788i | ||||
\(243\) | 36.0666 | − | 36.0666i | 0.148422 | − | 0.148422i | ||||
\(244\) | −508.011 | − | 165.063i | −2.08201 | − | 0.676486i | ||||
\(245\) | 4.02709 | − | 320.213i | 0.0164371 | − | 1.30699i | ||||
\(246\) | 6.07325 | + | 18.6916i | 0.0246880 | + | 0.0759819i | ||||
\(247\) | −45.0770 | + | 88.4686i | −0.182498 | + | 0.358172i | ||||
\(248\) | 32.4864 | − | 5.14534i | 0.130994 | − | 0.0207473i | ||||
\(249\) | − | 14.1383i | − | 0.0567804i | ||||||
\(250\) | 48.8983 | + | 407.748i | 0.195593 | + | 1.63099i | ||||
\(251\) | 283.972 | 1.13136 | 0.565682 | − | 0.824623i | \(-0.308613\pi\) | ||||
0.565682 | + | 0.824623i | \(0.308613\pi\) | |||||||
\(252\) | −10.7162 | − | 67.6593i | −0.0425245 | − | 0.268489i | ||||
\(253\) | −39.3136 | − | 20.0313i | −0.155390 | − | 0.0791751i | ||||
\(254\) | 287.080 | − | 93.2779i | 1.13024 | − | 0.367236i | ||||
\(255\) | 160.995 | + | 2.02472i | 0.631354 | + | 0.00794009i | ||||
\(256\) | −101.378 | + | 312.009i | −0.396007 | + | 1.21878i | ||||
\(257\) | 147.092 | + | 147.092i | 0.572344 | + | 0.572344i | 0.932783 | − | 0.360439i | \(-0.117373\pi\) |
−0.360439 | + | 0.932783i | \(0.617373\pi\) | |||||||
\(258\) | −226.598 | − | 444.724i | −0.878288 | − | 1.72374i | ||||
\(259\) | 158.641 | + | 218.351i | 0.612514 | + | 0.843053i | ||||
\(260\) | −19.9829 | − | 137.322i | −0.0768572 | − | 0.528162i | ||||
\(261\) | 0.204046 | + | 0.148248i | 0.000781784 | + | 0.000567999i | ||||
\(262\) | −454.094 | − | 71.9214i | −1.73318 | − | 0.274509i | ||||
\(263\) | 16.9483 | − | 107.008i | 0.0644423 | − | 0.406873i | −0.934289 | − | 0.356517i | \(-0.883964\pi\) |
0.998731 | − | 0.0503562i | \(-0.0160357\pi\) | |||||||
\(264\) | 29.8536 | − | 41.0900i | 0.113082 | − | 0.155644i | ||||
\(265\) | −13.4346 | − | 7.05946i | −0.0506966 | − | 0.0266395i | ||||
\(266\) | −686.843 | + | 499.021i | −2.58212 | + | 1.87602i | ||||
\(267\) | −408.790 | + | 208.289i | −1.53105 | + | 0.780108i | ||||
\(268\) | 391.324 | − | 391.324i | 1.46017 | − | 1.46017i | ||||
\(269\) | 229.570 | + | 74.5918i | 0.853419 | + | 0.277293i | 0.702878 | − | 0.711311i | \(-0.251898\pi\) |
0.150542 | + | 0.988604i | \(0.451898\pi\) | |||||||
\(270\) | 398.341 | − | 123.913i | 1.47534 | − | 0.458937i | ||||
\(271\) | −9.71113 | − | 29.8878i | −0.0358344 | − | 0.110287i | 0.931539 | − | 0.363641i | \(-0.118466\pi\) |
−0.967374 | + | 0.253354i | \(0.918466\pi\) | |||||||
\(272\) | −13.8049 | + | 27.0935i | −0.0507531 | + | 0.0996086i | ||||
\(273\) | 135.316 | − | 21.4319i | 0.495662 | − | 0.0785052i | ||||
\(274\) | − | 736.901i | − | 2.68942i | ||||||
\(275\) | −34.8263 | − | 26.6663i | −0.126641 | − | 0.0969684i | ||||
\(276\) | −538.863 | −1.95240 | ||||||||
\(277\) | −46.3265 | − | 292.494i | −0.167244 | − | 1.05594i | −0.918354 | − | 0.395759i | \(-0.870481\pi\) |
0.751110 | − | 0.660177i | \(-0.229519\pi\) | |||||||
\(278\) | −262.042 | − | 133.517i | −0.942599 | − | 0.480278i | ||||
\(279\) | 3.23238 | − | 1.05026i | 0.0115856 | − | 0.00376439i | ||||
\(280\) | 156.598 | − | 462.102i | 0.559277 | − | 1.65037i | ||||
\(281\) | 70.3842 | − | 216.620i | 0.250477 | − | 0.770890i | −0.744210 | − | 0.667946i | \(-0.767174\pi\) |
0.994687 | − | 0.102944i | \(-0.0328263\pi\) | |||||||
\(282\) | 337.433 | + | 337.433i | 1.19657 | + | 1.19657i | ||||
\(283\) | −33.8916 | − | 66.5161i | −0.119758 | − | 0.235039i | 0.823343 | − | 0.567544i | \(-0.192106\pi\) |
−0.943102 | + | 0.332505i | \(0.892106\pi\) | |||||||
\(284\) | 9.25649 | + | 12.7405i | 0.0325933 | + | 0.0448608i | ||||
\(285\) | 267.600 | + | 274.417i | 0.938948 | + | 0.962866i | ||||
\(286\) | 19.0511 | + | 13.8415i | 0.0666124 | + | 0.0483967i | ||||
\(287\) | −19.9173 | − | 3.15459i | −0.0693983 | − | 0.0109916i | ||||
\(288\) | −3.99476 | + | 25.2219i | −0.0138707 | + | 0.0875761i | ||||
\(289\) | −108.604 | + | 149.480i | −0.375791 | + | 0.517232i | ||||
\(290\) | 1.93421 | + | 3.91710i | 0.00666968 | + | 0.0135072i | ||||
\(291\) | 356.068 | − | 258.698i | 1.22360 | − | 0.888998i | ||||
\(292\) | 607.697 | − | 309.637i | 2.08115 | − | 1.06040i | ||||
\(293\) | −340.456 | + | 340.456i | −1.16197 | + | 1.16197i | −0.177920 | + | 0.984045i | \(0.556937\pi\) |
−0.984045 | + | 0.177920i | \(0.943063\pi\) | |||||||
\(294\) | 631.201 | + | 205.090i | 2.14694 | + | 0.697584i | ||||
\(295\) | 57.8200 | + | 81.7242i | 0.196000 | + | 0.277031i | ||||
\(296\) | 71.9934 | + | 221.573i | 0.243221 | + | 0.748557i | ||||
\(297\) | −20.2286 | + | 39.7008i | −0.0681097 | + | 0.133673i | ||||
\(298\) | −445.859 | + | 70.6171i | −1.49617 | + | 0.236970i | ||||
\(299\) | − | 102.737i | − | 0.343601i | ||||||
\(300\) | −526.821 | − | 97.0801i | −1.75607 | − | 0.323600i | ||||
\(301\) | 512.132 | 1.70143 | ||||||||
\(302\) | 115.479 | + | 729.104i | 0.382380 | + | 2.41425i | ||||
\(303\) | −254.509 | − | 129.679i | −0.839963 | − | 0.427983i | ||||
\(304\) | −68.8456 | + | 22.3693i | −0.226466 | + | 0.0735832i | ||||
\(305\) | −315.119 | − | 235.058i | −1.03318 | − | 0.770683i | ||||
\(306\) | −9.82980 | + | 30.2530i | −0.0321235 | + | 0.0988660i | ||||
\(307\) | −98.5129 | − | 98.5129i | −0.320889 | − | 0.320889i | 0.528219 | − | 0.849108i | \(-0.322860\pi\) |
−0.849108 | + | 0.528219i | \(0.822860\pi\) | |||||||
\(308\) | 57.5353 | + | 112.919i | 0.186803 | + | 0.366622i | ||||
\(309\) | 193.788 | + | 266.727i | 0.627147 | + | 0.863194i | ||||
\(310\) | 58.0244 | + | 9.93969i | 0.187175 | + | 0.0320635i | ||||
\(311\) | −319.500 | − | 232.130i | −1.02733 | − | 0.746399i | −0.0595579 | − | 0.998225i | \(-0.518969\pi\) |
−0.967773 | + | 0.251825i | \(0.918969\pi\) | |||||||
\(312\) | 116.805 | + | 18.5001i | 0.374375 | + | 0.0592952i | ||||
\(313\) | −34.8118 | + | 219.793i | −0.111220 | + | 0.702214i | 0.867565 | + | 0.497323i | \(0.165684\pi\) |
−0.978785 | + | 0.204890i | \(0.934316\pi\) | |||||||
\(314\) | 63.8858 | − | 87.9312i | 0.203458 | − | 0.280036i | ||||
\(315\) | 8.51257 | − | 49.6934i | 0.0270240 | − | 0.157757i | ||||
\(316\) | −94.9242 | + | 68.9664i | −0.300393 | + | 0.218248i | ||||
\(317\) | −61.6015 | + | 31.3875i | −0.194326 | + | 0.0990142i | −0.548446 | − | 0.836186i | \(-0.684780\pi\) |
0.354120 | + | 0.935200i | \(0.384780\pi\) | |||||||
\(318\) | 22.2404 | − | 22.2404i | 0.0699385 | − | 0.0699385i | ||||
\(319\) | −0.443769 | − | 0.144189i | −0.00139112 | − | 0.000452004i | ||||
\(320\) | −300.083 | + | 402.291i | −0.937759 | + | 1.25716i | ||||
\(321\) | −3.75273 | − | 11.5497i | −0.0116908 | − | 0.0359804i | ||||
\(322\) | 398.808 | − | 782.705i | 1.23853 | − | 2.43076i | ||||
\(323\) | 245.080 | − | 38.8168i | 0.758761 | − | 0.120176i | ||||
\(324\) | 602.155i | 1.85850i | ||||||||
\(325\) | 18.5088 | − | 100.441i | 0.0569501 | − | 0.309049i | ||||
\(326\) | −499.727 | −1.53290 | ||||||||
\(327\) | −36.6020 | − | 231.096i | −0.111933 | − | 0.706715i | ||||
\(328\) | −15.5098 | − | 7.90262i | −0.0472859 | − | 0.0240933i | ||||
\(329\) | −465.673 | + | 151.306i | −1.41542 | + | 0.459898i | ||||
\(330\) | 74.2097 | − | 52.5035i | 0.224878 | − | 0.159102i | ||||
\(331\) | −153.868 | + | 473.558i | −0.464859 | + | 1.43069i | 0.394300 | + | 0.918982i | \(0.370987\pi\) |
−0.859159 | + | 0.511708i | \(0.829013\pi\) | |||||||
\(332\) | 21.5330 | + | 21.5330i | 0.0648586 | + | 0.0648586i | ||||
\(333\) | 10.9293 | + | 21.4499i | 0.0328206 | + | 0.0644141i | ||||
\(334\) | −379.714 | − | 522.632i | −1.13687 | − | 1.56477i | ||||
\(335\) | 365.211 | − | 180.336i | 1.09018 | − | 0.538315i | ||||
\(336\) | 80.8068 | + | 58.7096i | 0.240496 | + | 0.174731i | ||||
\(337\) | 257.701 | + | 40.8158i | 0.764691 | + | 0.121115i | 0.526583 | − | 0.850124i | \(-0.323473\pi\) |
0.238108 | + | 0.971239i | \(0.423473\pi\) | |||||||
\(338\) | 78.2790 | − | 494.234i | 0.231595 | − | 1.46223i | ||||
\(339\) | −385.510 | + | 530.609i | −1.13720 | + | 1.56522i | ||||
\(340\) | −248.284 | + | 242.116i | −0.730246 | + | 0.712107i | ||||
\(341\) | −5.08691 | + | 3.69586i | −0.0149176 | + | 0.0108383i | ||||
\(342\) | −67.4727 | + | 34.3791i | −0.197289 | + | 0.100524i | ||||
\(343\) | −113.131 | + | 113.131i | −0.329828 | + | 0.329828i | ||||
\(344\) | 420.437 | + | 136.608i | 1.22220 | + | 0.397117i | ||||
\(345\) | −375.615 | − | 127.289i | −1.08874 | − | 0.368953i | ||||
\(346\) | 73.2471 | + | 225.431i | 0.211697 | + | 0.651536i | ||||
\(347\) | −55.3613 | + | 108.653i | −0.159543 | + | 0.313120i | −0.956915 | − | 0.290367i | \(-0.906223\pi\) |
0.797373 | + | 0.603487i | \(0.206223\pi\) | |||||||
\(348\) | −5.62841 | + | 0.891453i | −0.0161736 | + | 0.00256165i | ||||
\(349\) | 610.515i | 1.74933i | 0.484731 | + | 0.874663i | \(0.338918\pi\) | ||||
−0.484731 | + | 0.874663i | \(0.661082\pi\) | |||||||
\(350\) | 530.906 | − | 693.366i | 1.51687 | − | 1.98105i | ||||
\(351\) | −103.748 | −0.295580 | ||||||||
\(352\) | −7.39046 | − | 46.6615i | −0.0209956 | − | 0.132561i | ||||
\(353\) | 318.376 | + | 162.221i | 0.901916 | + | 0.459549i | 0.842508 | − | 0.538684i | \(-0.181078\pi\) |
0.0594087 | + | 0.998234i | \(0.481078\pi\) | |||||||
\(354\) | −197.320 | + | 64.1133i | −0.557402 | + | 0.181111i | ||||
\(355\) | 3.44273 | + | 11.0673i | 0.00969784 | + | 0.0311755i | ||||
\(356\) | 305.369 | − | 939.828i | 0.857777 | − | 2.63997i | ||||
\(357\) | −242.099 | − | 242.099i | −0.678148 | − | 0.678148i | ||||
\(358\) | 254.623 | + | 499.726i | 0.711237 | + | 1.39588i | ||||
\(359\) | −217.134 | − | 298.859i | −0.604829 | − | 0.832476i | 0.391310 | − | 0.920259i | \(-0.372022\pi\) |
−0.996140 | + | 0.0877825i | \(0.972022\pi\) | |||||||
\(360\) | 20.2439 | − | 38.5253i | 0.0562330 | − | 0.107015i | ||||
\(361\) | 185.838 | + | 135.019i | 0.514785 | + | 0.374013i | ||||
\(362\) | 1100.40 | + | 174.286i | 3.03978 | + | 0.481454i | ||||
\(363\) | 58.1838 | − | 367.358i | 0.160286 | − | 1.01201i | ||||
\(364\) | −173.448 | + | 238.731i | −0.476506 | + | 0.655854i | ||||
\(365\) | 496.738 | − | 72.2845i | 1.36093 | − | 0.198040i | ||||
\(366\) | 659.150 | − | 478.900i | 1.80096 | − | 1.30847i | ||||
\(367\) | −104.123 | + | 53.0534i | −0.283714 | + | 0.144560i | −0.590057 | − | 0.807362i | \(-0.700895\pi\) |
0.306343 | + | 0.951921i | \(0.400895\pi\) | |||||||
\(368\) | 52.9630 | − | 52.9630i | 0.143921 | − | 0.143921i | ||||
\(369\) | −1.71066 | − | 0.555829i | −0.00463595 | − | 0.00150631i | ||||
\(370\) | −5.24369 | + | 416.951i | −0.0141721 | + | 1.12689i | ||||
\(371\) | 9.97270 | + | 30.6928i | 0.0268806 | + | 0.0827299i | ||||
\(372\) | −34.8626 | + | 68.4216i | −0.0937166 | + | 0.183929i | ||||
\(373\) | 283.128 | − | 44.8431i | 0.759057 | − | 0.120223i | 0.235105 | − | 0.971970i | \(-0.424457\pi\) |
0.523953 | + | 0.851747i | \(0.324457\pi\) | |||||||
\(374\) | − | 58.8495i | − | 0.157352i | ||||||
\(375\) | −344.290 | − | 192.114i | −0.918106 | − | 0.512305i | ||||
\(376\) | −422.657 | −1.12409 | ||||||||
\(377\) | −0.169960 | − | 1.07308i | −0.000450821 | − | 0.00284637i | ||||
\(378\) | −790.413 | − | 402.735i | −2.09104 | − | 1.06544i | ||||
\(379\) | 350.259 | − | 113.806i | 0.924167 | − | 0.300280i | 0.191992 | − | 0.981397i | \(-0.438505\pi\) |
0.732175 | + | 0.681117i | \(0.238505\pi\) | |||||||
\(380\) | −825.507 | − | 10.3818i | −2.17239 | − | 0.0273206i | ||||
\(381\) | −89.5513 | + | 275.611i | −0.235043 | + | 0.723387i | ||||
\(382\) | −755.995 | − | 755.995i | −1.97904 | − | 1.97904i | ||||
\(383\) | 228.265 | + | 447.995i | 0.595992 | + | 1.16970i | 0.970189 | + | 0.242351i | \(0.0779185\pi\) |
−0.374197 | + | 0.927349i | \(0.622082\pi\) | |||||||
\(384\) | −411.700 | − | 566.656i | −1.07213 | − | 1.47567i | ||||
\(385\) | 13.4316 | + | 92.3016i | 0.0348872 | + | 0.239744i | ||||
\(386\) | −211.361 | − | 153.563i | −0.547567 | − | 0.397831i | ||||
\(387\) | 45.1179 | + | 7.14598i | 0.116584 | + | 0.0184651i | ||||
\(388\) | −148.296 | + | 936.306i | −0.382207 | + | 2.41316i | ||||
\(389\) | 283.654 | − | 390.416i | 0.729186 | − | 1.00364i | −0.269982 | − | 0.962865i | \(-0.587018\pi\) |
0.999168 | − | 0.0407737i | \(-0.0129823\pi\) | |||||||
\(390\) | 187.372 | + | 98.4583i | 0.480442 | + | 0.252457i | ||||
\(391\) | −207.712 | + | 150.912i | −0.531234 | + | 0.385964i | ||||
\(392\) | −523.754 | + | 266.866i | −1.33611 | + | 0.680781i | ||||
\(393\) | 312.107 | − | 312.107i | 0.794166 | − | 0.794166i | ||||
\(394\) | 511.872 | + | 166.317i | 1.29917 | + | 0.422125i | ||||
\(395\) | −82.4581 | + | 25.6504i | −0.208755 | + | 0.0649378i | ||||
\(396\) | 3.49315 | + | 10.7508i | 0.00882110 | + | 0.0271485i | ||||
\(397\) | −95.9284 | + | 188.270i | −0.241633 | + | 0.474232i | −0.979693 | − | 0.200503i | \(-0.935742\pi\) |
0.738060 | + | 0.674735i | \(0.235742\pi\) | |||||||
\(398\) | −3.45369 | + | 0.547011i | −0.00867762 | + | 0.00137440i | ||||
\(399\) | − | 815.066i | − | 2.04277i | ||||||
\(400\) | 61.3211 | − | 42.2378i | 0.153303 | − | 0.105594i | ||||
\(401\) | −33.6091 | −0.0838132 | −0.0419066 | − | 0.999122i | \(-0.513343\pi\) | ||||
−0.0419066 | + | 0.999122i | \(0.513343\pi\) | |||||||
\(402\) | 132.052 | + | 833.742i | 0.328487 | + | 2.07399i | ||||
\(403\) | −13.0449 | − | 6.64671i | −0.0323695 | − | 0.0164931i | ||||
\(404\) | 585.128 | − | 190.120i | 1.44834 | − | 0.470593i | ||||
\(405\) | −142.240 | + | 419.733i | −0.351209 | + | 1.03638i | ||||
\(406\) | 2.87070 | − | 8.83509i | 0.00707068 | − | 0.0217613i | ||||
\(407\) | −31.4927 | − | 31.4927i | −0.0773777 | − | 0.0773777i | ||||
\(408\) | −134.174 | − | 263.331i | −0.328857 | − | 0.645419i | ||||
\(409\) | −296.632 | − | 408.279i | −0.725262 | − | 0.998238i | −0.999333 | − | 0.0365283i | \(-0.988370\pi\) |
0.274070 | − | 0.961710i | \(-0.411630\pi\) | |||||||
\(410\) | −21.7514 | − | 22.3055i | −0.0530522 | − | 0.0544036i | ||||
\(411\) | 572.348 | + | 415.835i | 1.39257 | + | 1.01176i | ||||
\(412\) | −701.377 | − | 111.087i | −1.70237 | − | 0.269629i | ||||
\(413\) | 33.3020 | − | 210.260i | 0.0806343 | − | 0.509105i | ||||
\(414\) | 46.0557 | − | 63.3902i | 0.111246 | − | 0.153116i | ||||
\(415\) | 9.92317 | + | 20.0961i | 0.0239112 | + | 0.0484244i | ||||
\(416\) | 88.9938 | − | 64.6578i | 0.213927 | − | 0.155427i | ||||
\(417\) | 251.574 | − | 128.183i | 0.603294 | − | 0.307394i | ||||
\(418\) | 99.0633 | − | 99.0633i | 0.236994 | − | 0.236994i | ||||
\(419\) | 678.992 | + | 220.618i | 1.62051 | + | 0.526535i | 0.972061 | − | 0.234727i | \(-0.0754195\pi\) |
0.648445 | + | 0.761261i | \(0.275419\pi\) | |||||||
\(420\) | 657.925 | + | 929.927i | 1.56649 | + | 2.21411i | ||||
\(421\) | −205.918 | − | 633.749i | −0.489115 | − | 1.50534i | −0.825931 | − | 0.563772i | \(-0.809350\pi\) |
0.336815 | − | 0.941571i | \(-0.390650\pi\) | |||||||
\(422\) | −352.318 | + | 691.463i | −0.834877 | + | 1.63854i | ||||
\(423\) | −43.1363 | + | 6.83211i | −0.101977 | + | 0.0161516i | ||||
\(424\) | 27.8576i | 0.0657019i | ||||||||
\(425\) | −230.259 | + | 110.119i | −0.541785 | + | 0.259103i | ||||
\(426\) | −24.0208 | −0.0563869 | ||||||||
\(427\) | 130.777 | + | 825.693i | 0.306269 | + | 1.93371i | ||||
\(428\) | 23.3061 | + | 11.8750i | 0.0544534 | + | 0.0277454i | ||||
\(429\) | −21.5012 | + | 6.98617i | −0.0501194 | + | 0.0162848i | ||||
\(430\) | 634.221 | + | 473.088i | 1.47493 | + | 1.10020i | ||||
\(431\) | −208.917 | + | 642.979i | −0.484725 | + | 1.49183i | 0.347653 | + | 0.937623i | \(0.386979\pi\) |
−0.832378 | + | 0.554208i | \(0.813021\pi\) | |||||||
\(432\) | −53.4846 | − | 53.4846i | −0.123807 | − | 0.123807i | ||||
\(433\) | −319.506 | − | 627.066i | −0.737889 | − | 1.44819i | −0.888156 | − | 0.459543i | \(-0.848013\pi\) |
0.150267 | − | 0.988645i | \(-0.451987\pi\) | |||||||
\(434\) | −73.5817 | − | 101.277i | −0.169543 | − | 0.233356i | ||||
\(435\) | −4.13387 | − | 0.708141i | −0.00950316 | − | 0.00162791i | ||||
\(436\) | 407.711 | + | 296.219i | 0.935117 | + | 0.679402i | ||||
\(437\) | −603.684 | − | 95.6142i | −1.38143 | − | 0.218797i | ||||
\(438\) | −162.742 | + | 1027.51i | −0.371556 | + | 2.34591i | ||||
\(439\) | −99.5625 | + | 137.036i | −0.226794 | + | 0.312155i | −0.907216 | − | 0.420666i | \(-0.861797\pi\) |
0.680422 | + | 0.732821i | \(0.261797\pi\) | |||||||
\(440\) | −13.5942 | + | 79.3583i | −0.0308960 | + | 0.180360i | ||||
\(441\) | −49.1404 | + | 35.7026i | −0.111429 | + | 0.0809582i | ||||
\(442\) | 122.092 | − | 62.2089i | 0.276226 | − | 0.140744i | ||||
\(443\) | 386.504 | − | 386.504i | 0.872469 | − | 0.872469i | −0.120272 | − | 0.992741i | \(-0.538377\pi\) |
0.992741 | + | 0.120272i | \(0.0383767\pi\) | |||||||
\(444\) | −517.306 | − | 168.083i | −1.16510 | − | 0.378565i | ||||
\(445\) | 434.862 | − | 582.975i | 0.977217 | − | 1.31006i | ||||
\(446\) | 67.6736 | + | 208.278i | 0.151734 | + | 0.466991i | ||||
\(447\) | 196.751 | − | 386.146i | 0.440159 | − | 0.863861i | ||||
\(448\) | 1054.11 | − | 166.954i | 2.35291 | − | 0.372665i | ||||
\(449\) | 45.5385i | 0.101422i | 0.998713 | + | 0.0507110i | \(0.0161487\pi\) | ||||
−0.998713 | + | 0.0507110i | \(0.983851\pi\) | |||||||
\(450\) | 56.4467 | − | 53.6764i | 0.125437 | − | 0.119281i | ||||
\(451\) | 3.32766 | 0.00737841 | ||||||||
\(452\) | −220.990 | − | 1395.27i | −0.488915 | − | 3.08689i | ||||
\(453\) | −631.457 | − | 321.743i | −1.39394 | − | 0.710250i | ||||
\(454\) | −1158.44 | + | 376.401i | −2.55164 | + | 0.829077i | ||||
\(455\) | −177.295 | + | 125.436i | −0.389659 | + | 0.275684i | ||||
\(456\) | 217.414 | − | 669.133i | 0.476786 | − | 1.46740i | ||||
\(457\) | −133.531 | − | 133.531i | −0.292190 | − | 0.292190i | 0.545755 | − | 0.837945i | \(-0.316243\pi\) |
−0.837945 | + | 0.545755i | \(0.816243\pi\) | |||||||
\(458\) | 61.7103 | + | 121.113i | 0.134739 | + | 0.264440i | ||||
\(459\) | 152.398 | + | 209.758i | 0.332022 | + | 0.456989i | ||||
\(460\) | 765.937 | − | 378.208i | 1.66508 | − | 0.822191i | ||||
\(461\) | −269.252 | − | 195.623i | −0.584061 | − | 0.424345i | 0.256125 | − | 0.966644i | \(-0.417554\pi\) |
−0.840186 | + | 0.542299i | \(0.817554\pi\) | |||||||
\(462\) | −190.927 | − | 30.2399i | −0.413263 | − | 0.0654544i | ||||
\(463\) | 35.1369 | − | 221.846i | 0.0758896 | − | 0.479148i | −0.920247 | − | 0.391337i | \(-0.872013\pi\) |
0.996137 | − | 0.0878114i | \(-0.0279873\pi\) | |||||||
\(464\) | 0.465580 | − | 0.640815i | 0.00100340 | − | 0.00138107i | ||||
\(465\) | −40.4634 | + | 39.4583i | −0.0870181 | + | 0.0848565i | ||||
\(466\) | 94.1412 | − | 68.3976i | 0.202020 | − | 0.146776i | ||||
\(467\) | 3.23818 | − | 1.64993i | 0.00693399 | − | 0.00353305i | −0.450520 | − | 0.892766i | \(-0.648761\pi\) |
0.457454 | + | 0.889233i | \(0.348761\pi\) | |||||||
\(468\) | −18.6116 | + | 18.6116i | −0.0397684 | + | 0.0397684i | ||||
\(469\) | −823.740 | − | 267.649i | −1.75638 | − | 0.570681i | ||||
\(470\) | −716.458 | − | 242.794i | −1.52438 | − | 0.516583i | ||||
\(471\) | 32.2449 | + | 99.2396i | 0.0684605 | + | 0.210700i | ||||
\(472\) | 83.4253 | − | 163.731i | 0.176748 | − | 0.346888i | ||||
\(473\) | −83.4699 | + | 13.2203i | −0.176469 | + | 0.0279500i | ||||
\(474\) | − | 178.970i | − | 0.377573i | ||||||
\(475\) | −572.969 | − | 202.236i | −1.20625 | − | 0.425760i | ||||
\(476\) | 737.447 | 1.54926 | ||||||||
\(477\) | 0.450309 | + | 2.84314i | 0.000944043 | + | 0.00596045i | ||||
\(478\) | −141.515 | − | 72.1053i | −0.296056 | − | 0.150848i | ||||
\(479\) | 125.388 | − | 40.7412i | 0.261771 | − | 0.0850546i | −0.175191 | − | 0.984534i | \(-0.556054\pi\) |
0.436962 | + | 0.899480i | \(0.356054\pi\) | |||||||
\(480\) | −126.133 | − | 405.480i | −0.262778 | − | 0.844749i | ||||
\(481\) | 32.0457 | − | 98.6267i | 0.0666232 | − | 0.205045i | ||||
\(482\) | 483.478 | + | 483.478i | 1.00307 | + | 1.00307i | ||||
\(483\) | 382.875 | + | 751.434i | 0.792702 | + | 1.55576i | ||||
\(484\) | 470.881 | + | 648.112i | 0.972894 | + | 1.33907i | ||||
\(485\) | −324.542 | + | 617.623i | −0.669159 | + | 1.27345i | ||||
\(486\) | −135.569 | − | 98.4966i | −0.278949 | − | 0.202668i | ||||
\(487\) | 853.736 | + | 135.219i | 1.75305 | + | 0.277656i | 0.948627 | − | 0.316398i | \(-0.102473\pi\) |
0.804425 | + | 0.594054i | \(0.202473\pi\) | |||||||
\(488\) | −112.887 | + | 712.741i | −0.231326 | + | 1.46053i | ||||
\(489\) | 281.997 | − | 388.136i | 0.576681 | − | 0.793733i | ||||
\(490\) | −1041.13 | + | 151.504i | −2.12476 | + | 0.309191i | ||||
\(491\) | 55.6131 | − | 40.4053i | 0.113265 | − | 0.0822918i | −0.529711 | − | 0.848178i | \(-0.677700\pi\) |
0.642976 | + | 0.765886i | \(0.277700\pi\) | |||||||
\(492\) | 36.2106 | − | 18.4502i | 0.0735988 | − | 0.0375005i | ||||
\(493\) | −1.91990 | + | 1.91990i | −0.00389431 | + | 0.00389431i | ||||
\(494\) | 310.240 | + | 100.803i | 0.628015 | + | 0.204055i | ||||
\(495\) | −0.104623 | + | 8.31903i | −0.000211359 | + | 0.0168061i | ||||
\(496\) | −3.29841 | − | 10.1514i | −0.00665001 | − | 0.0204666i | ||||
\(497\) | 11.1894 | − | 21.9604i | 0.0225139 | − | 0.0441859i | ||||
\(498\) | −45.8776 | + | 7.26629i | −0.0921236 | + | 0.0145909i | ||||
\(499\) | 590.105i | 1.18257i | 0.806461 | + | 0.591287i | \(0.201380\pi\) | ||||
−0.806461 | + | 0.591287i | \(0.798620\pi\) | |||||||
\(500\) | 816.958 | − | 231.767i | 1.63392 | − | 0.463535i | ||||
\(501\) | 620.199 | 1.23792 | ||||||||
\(502\) | −145.946 | − | 921.465i | −0.290729 | − | 1.83559i | ||||
\(503\) | 133.604 | + | 68.0748i | 0.265615 | + | 0.135337i | 0.581726 | − | 0.813384i | \(-0.302377\pi\) |
−0.316112 | + | 0.948722i | \(0.602377\pi\) | |||||||
\(504\) | −88.0154 | + | 28.5980i | −0.174634 | + | 0.0567420i | ||||
\(505\) | 452.774 | + | 5.69422i | 0.896583 | + | 0.0112757i | ||||
\(506\) | −44.7948 | + | 137.864i | −0.0885272 | + | 0.272459i | ||||
\(507\) | 339.696 | + | 339.696i | 0.670012 | + | 0.670012i | ||||
\(508\) | −283.373 | − | 556.152i | −0.557822 | − | 1.09479i | ||||
\(509\) | −55.2439 | − | 76.0367i | −0.108534 | − | 0.149384i | 0.751295 | − | 0.659967i | \(-0.229430\pi\) |
−0.859829 | + | 0.510583i | \(0.829430\pi\) | |||||||
\(510\) | −76.1724 | − | 523.456i | −0.149358 | − | 1.02638i | ||||
\(511\) | −863.567 | − | 627.418i | −1.68995 | − | 1.22782i | ||||
\(512\) | 187.207 | + | 29.6506i | 0.365638 | + | 0.0579114i | ||||
\(513\) | −96.5558 | + | 609.630i | −0.188218 | + | 1.18836i | ||||
\(514\) | 401.705 | − | 552.899i | 0.781526 | − | 1.07568i | ||||
\(515\) | −462.656 | − | 243.111i | −0.898360 | − | 0.472060i | ||||
\(516\) | −834.994 | + | 606.659i | −1.61821 | + | 1.17570i | ||||
\(517\) | 71.9919 | − | 36.6817i | 0.139249 | − | 0.0709511i | ||||
\(518\) | 626.996 | − | 626.996i | 1.21042 | − | 1.21042i | ||||
\(519\) | −216.425 | − | 70.3208i | −0.417004 | − | 0.135493i | ||||
\(520\) | −179.011 | + | 55.6852i | −0.344251 | + | 0.107087i | ||||
\(521\) | −9.08811 | − | 27.9703i | −0.0174436 | − | 0.0536859i | 0.941956 | − | 0.335737i | \(-0.108985\pi\) |
−0.959399 | + | 0.282051i | \(0.908985\pi\) | |||||||
\(522\) | 0.376183 | − | 0.738301i | 0.000720657 | − | 0.00141437i | ||||
\(523\) | −262.167 | + | 41.5232i | −0.501275 | + | 0.0793942i | −0.401952 | − | 0.915661i | \(-0.631668\pi\) |
−0.0993239 | + | 0.995055i | \(0.531668\pi\) | |||||||
\(524\) | 950.696i | 1.81430i | ||||||||
\(525\) | 238.943 | + | 803.620i | 0.455129 | + | 1.53071i | ||||
\(526\) | −355.940 | −0.676693 | ||||||||
\(527\) | 5.72363 | + | 36.1376i | 0.0108608 | + | 0.0685723i | ||||
\(528\) | −14.6859 | − | 7.48282i | −0.0278141 | − | 0.0141720i | ||||
\(529\) | 98.3605 | − | 31.9593i | 0.185937 | − | 0.0604145i | ||||
\(530\) | −16.0027 | + | 47.2222i | −0.0301938 | + | 0.0890985i | ||||
\(531\) | 5.86769 | − | 18.0589i | 0.0110503 | − | 0.0340092i | ||||
\(532\) | 1241.37 | + | 1241.37i | 2.33340 | + | 2.33340i | ||||
\(533\) | 3.51762 | + | 6.90372i | 0.00659966 | + | 0.0129526i | ||||
\(534\) | 885.974 | + | 1219.44i | 1.65913 | + | 2.28359i | ||||
\(535\) | 13.4404 | + | 13.7828i | 0.0251223 | + | 0.0257623i | ||||
\(536\) | −604.860 | − | 439.456i | −1.12847 | − | 0.819881i | ||||
\(537\) | −531.819 | − | 84.2319i | −0.990352 | − | 0.156856i | ||||
\(538\) | 124.058 | − | 783.269i | 0.230590 | − | 1.45589i | ||||
\(539\) | 66.0511 | − | 90.9115i | 0.122544 | − | 0.168667i | ||||
\(540\) | −381.933 | − | 773.480i | −0.707283 | − | 1.43237i | ||||
\(541\) | 206.758 | − | 150.219i | 0.382178 | − | 0.277669i | −0.380064 | − | 0.924960i | \(-0.624098\pi\) |
0.762243 | + | 0.647291i | \(0.224098\pi\) | |||||||
\(542\) | −91.9922 | + | 46.8724i | −0.169727 | + | 0.0864804i | ||||
\(543\) | −756.327 | + | 756.327i | −1.39287 | + | 1.39287i | ||||
\(544\) | −261.449 | − | 84.9501i | −0.480606 | − | 0.156158i | ||||
\(545\) | 214.224 | + | 302.789i | 0.393071 | + | 0.555576i | ||||
\(546\) | −139.089 | − | 428.073i | −0.254742 | − | 0.784016i | ||||
\(547\) | 160.709 | − | 315.410i | 0.293801 | − | 0.576618i | −0.696171 | − | 0.717876i | \(-0.745115\pi\) |
0.989973 | + | 0.141258i | \(0.0451147\pi\) | |||||||
\(548\) | −1505.03 | + | 238.373i | −2.74641 | + | 0.434988i | ||||
\(549\) | 74.5669i | 0.135823i | ||||||||
\(550\) | −68.6310 | + | 126.713i | −0.124784 | + | 0.230388i | ||||
\(551\) | −6.46365 | −0.0117308 | ||||||||
\(552\) | 113.882 | + | 719.024i | 0.206308 | + | 1.30258i | ||||
\(553\) | 163.618 | + | 83.3677i | 0.295874 | + | 0.150755i | ||||
\(554\) | −925.308 | + | 300.651i | −1.67023 | + | 0.542691i | ||||
\(555\) | −320.885 | − | 239.359i | −0.578171 | − | 0.431278i | ||||
\(556\) | −187.927 | + | 578.380i | −0.337998 | + | 1.04025i | ||||
\(557\) | 465.228 | + | 465.228i | 0.835239 | + | 0.835239i | 0.988228 | − | 0.152989i | \(-0.0488899\pi\) |
−0.152989 | + | 0.988228i | \(0.548890\pi\) | |||||||
\(558\) | −5.06927 | − | 9.94901i | −0.00908472 | − | 0.0178298i | ||||
\(559\) | −115.662 | − | 159.195i | −0.206909 | − | 0.284786i | ||||
\(560\) | −156.064 | − | 26.7341i | −0.278687 | − | 0.0477395i | ||||
\(561\) | 45.7081 | + | 33.2089i | 0.0814762 | + | 0.0591959i | ||||
\(562\) | −739.086 | − | 117.060i | −1.31510 | − | 0.208291i | ||||
\(563\) | 73.0207 | − | 461.034i | 0.129699 | − | 0.818889i | −0.833974 | − | 0.551804i | \(-0.813940\pi\) |
0.963673 | − | 0.267085i | \(-0.0860604\pi\) | |||||||
\(564\) | 580.013 | − | 798.319i | 1.02839 | − | 1.41546i | ||||
\(565\) | 175.547 | − | 1024.78i | 0.310702 | − | 1.81377i | ||||
\(566\) | −198.420 | + | 144.161i | −0.350566 | + | 0.254701i | ||||
\(567\) | 839.695 | − | 427.846i | 1.48094 | − | 0.754578i | ||||
\(568\) | 15.0438 | − | 15.0438i | 0.0264856 | − | 0.0264856i | ||||
\(569\) | 165.686 | + | 53.8347i | 0.291188 | + | 0.0946129i | 0.450969 | − | 0.892540i | \(-0.351079\pi\) |
−0.159780 | + | 0.987153i | \(0.551079\pi\) | |||||||
\(570\) | 752.927 | − | 1009.37i | 1.32092 | − | 1.77083i | ||||
\(571\) | 151.720 | + | 466.947i | 0.265710 | + | 0.817770i | 0.991529 | + | 0.129885i | \(0.0414608\pi\) |
−0.725819 | + | 0.687885i | \(0.758539\pi\) | |||||||
\(572\) | 22.1068 | − | 43.3870i | 0.0386483 | − | 0.0758515i | ||||
\(573\) | 1013.79 | − | 160.568i | 1.76926 | − | 0.280224i | ||||
\(574\) | 66.2512i | 0.115420i | ||||||||
\(575\) | 623.237 | − | 82.7030i | 1.08389 | − | 0.143831i | ||||
\(576\) | 95.1945 | 0.165268 | ||||||||
\(577\) | 48.6071 | + | 306.893i | 0.0842411 | + | 0.531877i | 0.993333 | + | 0.115281i | \(0.0367770\pi\) |
−0.909092 | + | 0.416596i | \(0.863223\pi\) | |||||||
\(578\) | 540.866 | + | 275.585i | 0.935754 | + | 0.476790i | ||||
\(579\) | 238.543 | − | 77.5073i | 0.411991 | − | 0.133864i | ||||
\(580\) | 7.37452 | − | 5.21748i | 0.0127147 | − | 0.00899566i | ||||
\(581\) | 14.7277 | − | 45.3272i | 0.0253489 | − | 0.0780158i | ||||
\(582\) | −1022.45 | − | 1022.45i | −1.75679 | − | 1.75679i | ||||
\(583\) | −2.41772 | − | 4.74503i | −0.00414702 | − | 0.00813899i | ||||
\(584\) | −541.589 | − | 745.434i | −0.927379 | − | 1.27643i | ||||
\(585\) | −17.3696 | + | 8.57686i | −0.0296917 | + | 0.0146613i | ||||
\(586\) | 1279.72 | + | 929.773i | 2.18383 | + | 1.58664i | ||||
\(587\) | −558.108 | − | 88.3956i | −0.950780 | − | 0.150589i | −0.338268 | − | 0.941050i | \(-0.609841\pi\) |
−0.612512 | + | 0.790461i | \(0.709841\pi\) | |||||||
\(588\) | 214.689 | − | 1355.49i | 0.365117 | − | 2.30526i | ||||
\(589\) | −51.1968 | + | 70.4664i | −0.0869216 | + | 0.119637i | ||||
\(590\) | 235.471 | − | 229.622i | 0.399104 | − | 0.389190i | ||||
\(591\) | −418.029 | + | 303.716i | −0.707324 | + | 0.513901i | ||||
\(592\) | 67.3645 | − | 34.3239i | 0.113791 | − | 0.0579796i | ||||
\(593\) | −358.764 | + | 358.764i | −0.604998 | + | 0.604998i | −0.941635 | − | 0.336636i | \(-0.890711\pi\) |
0.336636 | + | 0.941635i | \(0.390711\pi\) | |||||||
\(594\) | 139.222 | + | 45.2359i | 0.234380 | + | 0.0761548i | ||||
\(595\) | 514.038 | + | 174.198i | 0.863930 | + | 0.292769i | ||||
\(596\) | 288.453 | + | 887.768i | 0.483982 | + | 1.48954i | ||||
\(597\) | 1.52407 | − | 2.99115i | 0.00255288 | − | 0.00501030i | ||||
\(598\) | −333.371 | + | 52.8008i | −0.557477 | + | 0.0882957i | ||||
\(599\) | − | 65.7927i | − | 0.109837i | −0.998491 | − | 0.0549187i | \(-0.982510\pi\) | ||
0.998491 | − | 0.0549187i | \(-0.0174900\pi\) | |||||||
\(600\) | −18.2001 | + | 723.473i | −0.0303335 | + | 1.20579i | ||||
\(601\) | −537.779 | −0.894807 | −0.447403 | − | 0.894332i | \(-0.647651\pi\) | ||||
−0.447403 | + | 0.894332i | \(0.647651\pi\) | |||||||
\(602\) | −263.207 | − | 1661.82i | −0.437220 | − | 2.76050i | ||||
\(603\) | −68.8354 | − | 35.0734i | −0.114155 | − | 0.0581649i | ||||
\(604\) | 1451.75 | − | 471.702i | 2.40356 | − | 0.780964i | ||||
\(605\) | 175.133 | + | 562.998i | 0.289476 | + | 0.930575i | ||||
\(606\) | −289.993 | + | 892.506i | −0.478536 | + | 1.47278i | ||||
\(607\) | −368.560 | − | 368.560i | −0.607184 | − | 0.607184i | 0.335026 | − | 0.942209i | \(-0.391255\pi\) |
−0.942209 | + | 0.335026i | \(0.891255\pi\) | |||||||
\(608\) | −297.107 | − | 583.106i | −0.488663 | − | 0.959056i | ||||
\(609\) | 5.24224 | + | 7.21532i | 0.00860795 | + | 0.0118478i | ||||
\(610\) | −600.789 | + | 1143.34i | −0.984901 | + | 1.87433i | ||||
\(611\) | 152.203 | + | 110.582i | 0.249105 | + | 0.180985i | ||||
\(612\) | 64.9678 | + | 10.2899i | 0.106157 | + | 0.0168135i | ||||
\(613\) | −96.0244 | + | 606.274i | −0.156647 | + | 0.989028i | 0.776653 | + | 0.629929i | \(0.216916\pi\) |
−0.933299 | + | 0.359099i | \(0.883084\pi\) | |||||||
\(614\) | −269.035 | + | 370.295i | −0.438168 | + | 0.603087i | ||||
\(615\) | 29.5989 | − | 4.30719i | 0.0481284 | − | 0.00700356i | ||||
\(616\) | 138.513 | − | 100.636i | 0.224859 | − | 0.163370i | ||||
\(617\) | −626.986 | + | 319.465i | −1.01618 | + | 0.517772i | −0.881034 | − | 0.473053i | \(-0.843152\pi\) |
−0.135150 | + | 0.990825i | \(0.543152\pi\) | |||||||
\(618\) | 765.908 | − | 765.908i | 1.23933 | − | 1.23933i | ||||
\(619\) | 0.633583 | + | 0.205864i | 0.00102356 | + | 0.000332575i | 0.309529 | − | 0.950890i | \(-0.399829\pi\) |
−0.308505 | + | 0.951223i | \(0.599829\pi\) | |||||||
\(620\) | 1.53082 | − | 121.723i | 0.00246907 | − | 0.196327i | ||||
\(621\) | −197.354 | − | 607.393i | −0.317800 | − | 0.978088i | ||||
\(622\) | −589.037 | + | 1156.05i | −0.947005 | + | 1.85860i | ||||
\(623\) | −1527.55 | + | 241.939i | −2.45192 | + | 0.388346i | ||||
\(624\) | − | 38.3779i | − | 0.0615031i | ||||||
\(625\) | 624.209 | + | 31.4258i | 0.998735 | + | 0.0502813i | ||||
\(626\) | 731.099 | 1.16789 | ||||||||
\(627\) | 21.0404 | + | 132.844i | 0.0335572 | + | 0.211872i | ||||
\(628\) | −200.254 | − | 102.035i | −0.318877 | − | 0.162476i | ||||
\(629\) | −246.476 | + | 80.0848i | −0.391853 | + | 0.127321i | ||||
\(630\) | −165.625 | − | 2.08295i | −0.262898 | − | 0.00330628i | ||||
\(631\) | 240.796 | − | 741.095i | 0.381611 | − | 1.17448i | −0.557298 | − | 0.830312i | \(-0.688162\pi\) |
0.938909 | − | 0.344165i | \(-0.111838\pi\) | |||||||
\(632\) | 112.085 | + | 112.085i | 0.177350 | + | 0.177350i | ||||
\(633\) | −338.242 | − | 663.838i | −0.534348 | − | 1.04872i | ||||
\(634\) | 133.509 | + | 183.760i | 0.210583 | + | 0.289842i | ||||
\(635\) | −66.1532 | − | 454.604i | −0.104178 | − | 0.715912i | ||||
\(636\) | −52.6177 | − | 38.2290i | −0.0827323 | − | 0.0601085i | ||||
\(637\) | 258.431 | + | 40.9314i | 0.405700 | + | 0.0642566i | ||||
\(638\) | −0.239809 | + | 1.51409i | −0.000375876 | + | 0.00237319i | ||||
\(639\) | 1.29219 | − | 1.77854i | 0.00202220 | − | 0.00278333i | ||||
\(640\) | 982.903 | + | 516.485i | 1.53579 | + | 0.807007i | ||||
\(641\) | 481.236 | − | 349.638i | 0.750758 | − | 0.545458i | −0.145304 | − | 0.989387i | \(-0.546416\pi\) |
0.896062 | + | 0.443929i | \(0.146416\pi\) | |||||||
\(642\) | −35.5491 | + | 18.1132i | −0.0553724 | + | 0.0282137i | ||||
\(643\) | −175.195 | + | 175.195i | −0.272465 | + | 0.272465i | −0.830092 | − | 0.557627i | \(-0.811712\pi\) |
0.557627 | + | 0.830092i | \(0.311712\pi\) | |||||||
\(644\) | −1727.58 | − | 561.326i | −2.68258 | − | 0.871624i | ||||
\(645\) | −725.338 | + | 225.632i | −1.12455 | + | 0.349818i | ||||
\(646\) | −251.914 | − | 775.312i | −0.389960 | − | 1.20017i | ||||
\(647\) | 188.793 | − | 370.526i | 0.291797 | − | 0.572684i | −0.697844 | − | 0.716250i | \(-0.745857\pi\) |
0.989641 | + | 0.143566i | \(0.0458570\pi\) | |||||||
\(648\) | 803.477 | − | 127.258i | 1.23993 | − | 0.196386i | ||||
\(649\) | 35.1290i | 0.0541279i | ||||||||
\(650\) | −335.434 | − | 8.43837i | −0.516052 | − | 0.0129821i | ||||
\(651\) | 120.183 | 0.184614 | ||||||||
\(652\) | 161.652 | + | 1020.63i | 0.247932 | + | 1.56538i | ||||
\(653\) | −154.952 | − | 78.9520i | −0.237293 | − | 0.120907i | 0.331301 | − | 0.943525i | \(-0.392512\pi\) |
−0.568594 | + | 0.822618i | \(0.692512\pi\) | |||||||
\(654\) | −731.074 | + | 237.540i | −1.11785 | + | 0.363211i | ||||
\(655\) | −224.571 | + | 662.684i | −0.342856 | + | 1.01173i | ||||
\(656\) | −1.74561 | + | 5.37243i | −0.00266099 | + | 0.00818967i | ||||
\(657\) | −67.3241 | − | 67.3241i | −0.102472 | − | 0.102472i | ||||
\(658\) | 730.305 | + | 1433.30i | 1.10989 | + | 2.17828i | ||||
\(659\) | 475.861 | + | 654.967i | 0.722096 | + | 0.993880i | 0.999452 | + | 0.0331123i | \(0.0105419\pi\) |
−0.277356 | + | 0.960767i | \(0.589458\pi\) | |||||||
\(660\) | −131.237 | − | 134.580i | −0.198845 | − | 0.203910i | ||||
\(661\) | −523.116 | − | 380.066i | −0.791401 | − | 0.574987i | 0.116978 | − | 0.993135i | \(-0.462679\pi\) |
−0.908379 | + | 0.418148i | \(0.862679\pi\) | |||||||
\(662\) | 1615.73 | + | 255.907i | 2.44069 | + | 0.386567i | ||||
\(663\) | −20.5793 | + | 129.933i | −0.0310397 | + | 0.195977i | ||||
\(664\) | 24.1816 | − | 33.2831i | 0.0364180 | − | 0.0501251i | ||||
\(665\) | 572.065 | + | 1158.53i | 0.860248 | + | 1.74215i | ||||
\(666\) | 63.9860 | − | 46.4885i | 0.0960750 | − | 0.0698026i | ||||
\(667\) | 5.95904 | − | 3.03628i | 0.00893409 | − | 0.00455214i | ||||
\(668\) | −944.581 | + | 944.581i | −1.41404 | + | 1.41404i | ||||
\(669\) | −199.957 | − | 64.9699i | −0.298889 | − | 0.0971150i | ||||
\(670\) | −772.871 | − | 1092.39i | −1.15354 | − | 1.63044i | ||||
\(671\) | −42.6294 | − | 131.200i | −0.0635311 | − | 0.195529i | ||||
\(672\) | −409.952 | + | 804.577i | −0.610048 | + | 1.19729i | ||||
\(673\) | 627.765 | − | 99.4282i | 0.932786 | − | 0.147739i | 0.328498 | − | 0.944505i | \(-0.393458\pi\) |
0.604288 | + | 0.796766i | \(0.293458\pi\) | |||||||
\(674\) | − | 857.193i | − | 1.27180i | ||||||
\(675\) | −83.5175 | − | 629.375i | −0.123730 | − | 0.932407i | ||||
\(676\) | −1034.73 | −1.53067 | ||||||||
\(677\) | −4.37313 | − | 27.6108i | −0.00645957 | − | 0.0407841i | 0.984248 | − | 0.176793i | \(-0.0565724\pi\) |
−0.990708 | + | 0.136009i | \(0.956572\pi\) | |||||||
\(678\) | 1919.91 | + | 978.242i | 2.83172 | + | 1.44283i | ||||
\(679\) | 1411.03 | − | 458.471i | 2.07810 | − | 0.675215i | ||||
\(680\) | 375.536 | + | 280.126i | 0.552259 | + | 0.411949i | ||||
\(681\) | 361.363 | − | 1112.16i | 0.530636 | − | 1.63313i | ||||
\(682\) | 14.6071 | + | 14.6071i | 0.0214181 | + | 0.0214181i | ||||
\(683\) | −142.066 | − | 278.821i | −0.208004 | − | 0.408230i | 0.763310 | − | 0.646032i | \(-0.223573\pi\) |
−0.971314 | + | 0.237802i | \(0.923573\pi\) | |||||||
\(684\) | 92.0411 | + | 126.684i | 0.134563 | + | 0.185210i | ||||
\(685\) | −1105.39 | − | 189.356i | −1.61371 | − | 0.276432i | ||||
\(686\) | 425.243 | + | 308.957i | 0.619888 | + | 0.450375i | ||||
\(687\) | −128.891 | − | 20.4144i | −0.187615 | − | 0.0297153i | ||||
\(688\) | 22.4423 | − | 141.695i | 0.0326196 | − | 0.205952i | ||||
\(689\) | 7.28853 | − | 10.0318i | 0.0105784 | − | 0.0145600i | ||||
\(690\) | −219.996 | + | 1284.26i | −0.318834 | + | 1.86124i | ||||
\(691\) | 465.719 | − | 338.364i | 0.673978 | − | 0.489673i | −0.197377 | − | 0.980328i | \(-0.563242\pi\) |
0.871354 | + | 0.490654i | \(0.163242\pi\) | |||||||
\(692\) | 436.722 | − | 222.521i | 0.631101 | − | 0.321562i | ||||
\(693\) | 12.5099 | − | 12.5099i | 0.0180517 | − | 0.0180517i | ||||
\(694\) | 381.021 | + | 123.801i | 0.549021 | + | 0.178388i | ||||
\(695\) | −267.618 | + | 358.769i | −0.385062 | + | 0.516214i | ||||
\(696\) | 2.37900 | + | 7.32180i | 0.00341810 | + | 0.0105198i | ||||
\(697\) | 8.79080 | − | 17.2529i | 0.0126123 | − | 0.0247531i | ||||
\(698\) | 1981.07 | − | 313.770i | 2.83820 | − | 0.449527i | ||||
\(699\) | 111.716i | 0.159823i | ||||||||
\(700\) | −1587.85 | − | 860.020i | −2.26836 | − | 1.22860i | ||||
\(701\) | −189.634 | −0.270520 | −0.135260 | − | 0.990810i | \(-0.543187\pi\) | ||||
−0.135260 | + | 0.990810i | \(0.543187\pi\) | |||||||
\(702\) | 53.3208 | + | 336.654i | 0.0759556 | + | 0.479565i | ||||
\(703\) | −549.710 | − | 280.091i | −0.781949 | − | 0.398423i | ||||
\(704\) | −167.494 | + | 54.4220i | −0.237917 | + | 0.0773040i | ||||
\(705\) | 592.876 | − | 419.461i | 0.840959 | − | 0.594980i | ||||
\(706\) | 362.765 | − | 1116.48i | 0.513831 | − | 1.58141i | ||||
\(707\) | −680.866 | − | 680.866i | −0.963035 | − | 0.963035i | ||||
\(708\) | 194.773 | + | 382.263i | 0.275103 | + | 0.539920i | ||||
\(709\) | −291.834 | − | 401.676i | −0.411614 | − | 0.566538i | 0.551997 | − | 0.833846i | \(-0.313866\pi\) |
−0.963611 | + | 0.267308i | \(0.913866\pi\) | |||||||
\(710\) | 34.1431 | − | 16.8593i | 0.0480888 | − | 0.0237455i | ||||
\(711\) | 13.2512 | + | 9.62758i | 0.0186375 | + | 0.0135409i | ||||
\(712\) | −1318.58 | − | 208.843i | −1.85194 | − | 0.293319i | ||||
\(713\) | 14.0985 | − | 89.0147i | 0.0197735 | − | 0.124845i | ||||
\(714\) | −661.164 | + | 910.014i | −0.926000 | + | 1.27453i | ||||
\(715\) | 25.6584 | − | 25.0210i | 0.0358858 | − | 0.0349944i | ||||
\(716\) | 938.262 | − | 681.687i | 1.31042 | − | 0.952077i | ||||
\(717\) | 135.861 | − | 69.2246i | 0.189485 | − | 0.0965475i | ||||
\(718\) | −858.176 | + | 858.176i | −1.19523 | + | 1.19523i | ||||
\(719\) | −276.486 | − | 89.8356i | −0.384542 | − | 0.124945i | 0.110365 | − | 0.993891i | \(-0.464798\pi\) |
−0.494907 | + | 0.868946i | \(0.664798\pi\) | |||||||
\(720\) | −13.3760 | − | 4.53286i | −0.0185777 | − | 0.00629564i | ||||
\(721\) | 343.436 | + | 1056.99i | 0.476333 | + | 1.46600i | ||||
\(722\) | 342.614 | − | 672.418i | 0.474535 | − | 0.931327i | ||||
\(723\) | −648.343 | + | 102.688i | −0.896741 | + | 0.142030i | ||||
\(724\) | − | 2303.81i | − | 3.18206i | ||||||
\(725\) | 6.37288 | − | 1.89487i | 0.00879018 | − | 0.00261361i | ||||
\(726\) | −1221.95 | −1.68312 | ||||||||
\(727\) | −49.3376 | − | 311.506i | −0.0678647 | − | 0.428481i | −0.998105 | − | 0.0615305i | \(-0.980402\pi\) |
0.930240 | − | 0.366950i | \(-0.119598\pi\) | |||||||
\(728\) | 355.203 | + | 180.985i | 0.487917 | + | 0.248606i | ||||
\(729\) | −605.676 | + | 196.796i | −0.830832 | + | 0.269954i | ||||
\(730\) | −489.852 | − | 1574.72i | −0.671030 | − | 2.15715i | ||||
\(731\) | −151.962 | + | 467.691i | −0.207882 | + | 0.639796i | ||||
\(732\) | −1191.32 | − | 1191.32i | −1.62748 | − | 1.62748i | ||||
\(733\) | 494.423 | + | 970.360i | 0.674520 | + | 1.32382i | 0.933723 | + | 0.357997i | \(0.116540\pi\) |
−0.259203 | + | 0.965823i | \(0.583460\pi\) | |||||||
\(734\) | 225.667 | + | 310.604i | 0.307448 | + | 0.423166i | ||||
\(735\) | 469.840 | − | 894.136i | 0.639239 | − | 1.21651i | ||||
\(736\) | 547.824 | + | 398.018i | 0.744327 | + | 0.540785i | ||||
\(737\) | 141.167 | + | 22.3586i | 0.191542 | + | 0.0303373i | ||||
\(738\) | −0.924429 | + | 5.83662i | −0.00125261 | + | 0.00790870i | ||||
\(739\) | −539.948 | + | 743.174i | −0.730646 | + | 1.00565i | 0.268456 | + | 0.963292i | \(0.413486\pi\) |
−0.999103 | + | 0.0423564i | \(0.986514\pi\) | |||||||
\(740\) | 853.267 | − | 124.166i | 1.15306 | − | 0.167792i | ||||
\(741\) | −253.362 | + | 184.078i | −0.341919 | + | 0.248419i | ||||
\(742\) | 94.4700 | − | 48.1349i | 0.127318 | − | 0.0648718i | ||||
\(743\) | 840.345 | − | 840.345i | 1.13102 | − | 1.13102i | 0.141008 | − | 0.990008i | \(-0.454966\pi\) |
0.990008 | − | 0.141008i | \(-0.0450344\pi\) | |||||||
\(744\) | 98.6652 | + | 32.0583i | 0.132615 | + | 0.0430891i | ||||
\(745\) | −8.63939 | + | 686.958i | −0.0115965 | + | 0.922092i | ||||
\(746\) | −291.024 | − | 895.680i | −0.390112 | − | 1.20064i | ||||
\(747\) | 1.92995 | − | 3.78774i | 0.00258360 | − | 0.00507061i | ||||
\(748\) | −120.193 | + | 19.0367i | −0.160686 | + | 0.0254501i | ||||
\(749\) | − | 40.9374i | − | 0.0546560i | ||||||
\(750\) | −446.448 | + | 1215.93i | −0.595264 | + | 1.62123i | ||||
\(751\) | −59.5548 | −0.0793007 | −0.0396504 | − | 0.999214i | \(-0.512624\pi\) | ||||
−0.0396504 | + | 0.999214i | \(0.512624\pi\) | |||||||
\(752\) | 21.4566 | + | 135.472i | 0.0285327 | + | 0.180148i | ||||
\(753\) | 798.055 | + | 406.630i | 1.05983 | + | 0.540013i | ||||
\(754\) | −3.39471 | + | 1.10301i | −0.00450226 | + | 0.00146287i | ||||
\(755\) | 1123.37 | + | 14.1278i | 1.48791 | + | 0.0187123i | ||||
\(756\) | −566.854 | + | 1744.60i | −0.749807 | + | 2.30767i | ||||
\(757\) | 466.274 | + | 466.274i | 0.615950 | + | 0.615950i | 0.944490 | − | 0.328540i | \(-0.106557\pi\) |
−0.328540 | + | 0.944490i | \(0.606557\pi\) | |||||||
\(758\) | −549.304 | − | 1078.07i | −0.724675 | − | 1.42226i | ||||
\(759\) | −81.8007 | − | 112.589i | −0.107774 | − | 0.148339i | ||||
\(760\) | 160.608 | + | 1103.70i | 0.211326 | + | 1.45223i | ||||
\(761\) | −64.3585 | − | 46.7592i | −0.0845710 | − | 0.0614444i | 0.544696 | − | 0.838633i | \(-0.316645\pi\) |
−0.629267 | + | 0.777189i | \(0.716645\pi\) | |||||||
\(762\) | 940.356 | + | 148.938i | 1.23406 | + | 0.195456i | ||||
\(763\) | 123.384 | − | 779.017i | 0.161709 | − | 1.02099i | ||||
\(764\) | −1299.48 | + | 1788.58i | −1.70089 | + | 2.34107i | ||||
\(765\) | 42.8553 | + | 22.5191i | 0.0560199 | + | 0.0294367i | ||||
\(766\) | 1336.39 | − | 970.943i | 1.74463 | − | 1.26755i | ||||
\(767\) | −72.8802 | + | 37.1343i | −0.0950198 | + | 0.0484150i | ||||
\(768\) | −731.680 | + | 731.680i | −0.952708 | + | 0.952708i | ||||
\(769\) | 1320.49 | + | 429.054i | 1.71716 | + | 0.557938i | 0.991498 | − | 0.130119i | \(-0.0415359\pi\) |
0.725657 | + | 0.688057i | \(0.241536\pi\) | |||||||
\(770\) | 292.607 | − | 91.0220i | 0.380009 | − | 0.118210i | ||||
\(771\) | 202.751 | + | 624.004i | 0.262972 | + | 0.809344i | ||||
\(772\) | −245.262 | + | 481.353i | −0.317697 | + | 0.623515i | ||||
\(773\) | 759.496 | − | 120.292i | 0.982531 | − | 0.155618i | 0.355554 | − | 0.934656i | \(-0.384292\pi\) |
0.626977 | + | 0.779038i | \(0.284292\pi\) | |||||||
\(774\) | − | 150.076i | − | 0.193897i | ||||||
\(775\) | 29.8201 | − | 84.4856i | 0.0384776 | − | 0.109014i | ||||
\(776\) | 1280.69 | 1.65037 | ||||||||
\(777\) | 133.170 | + | 840.800i | 0.171390 | + | 1.08211i | ||||
\(778\) | −1412.65 | − | 719.779i | −1.81574 | − | 0.925165i | ||||
\(779\) | 43.8403 | − | 14.2446i | 0.0562776 | − | 0.0182857i | ||||
\(780\) | 140.478 | − | 414.534i | 0.180099 | − | 0.531454i | ||||
\(781\) | −1.25681 | + | 3.86807i | −0.00160923 | + | 0.00495271i | ||||
\(782\) | 596.448 | + | 596.448i | 0.762721 | + | 0.762721i | ||||
\(783\) | −3.06618 | − | 6.01772i | −0.00391594 | − | 0.00768547i | ||||
\(784\) | 112.126 | + | 154.328i | 0.143017 | + | 0.196847i | ||||
\(785\) | −115.485 | − | 118.427i | −0.147115 | − | 0.150863i | ||||
\(786\) | −1173.17 | − | 852.354i | −1.49258 | − | 1.08442i | ||||
\(787\) | −149.730 | − | 23.7149i | −0.190254 | − | 0.0301333i | 0.0605802 | − | 0.998163i | \(-0.480705\pi\) |
−0.250834 | + | 0.968030i | \(0.580705\pi\) | |||||||
\(788\) | 174.102 | − | 1099.24i | 0.220942 | − | 1.39497i | ||||
\(789\) | 200.858 | − | 276.457i | 0.254573 | − | 0.350390i | ||||
\(790\) | 125.612 | + | 254.386i | 0.159003 | + | 0.322008i | ||||
\(791\) | −1788.66 | + | 1299.54i | −2.26127 | + | 1.64291i | ||||
\(792\) | 13.6070 | − | 6.93310i | 0.0171805 | − | 0.00875391i | ||||
\(793\) | 227.130 | − | 227.130i | 0.286419 | − | 0.286419i | ||||
\(794\) | 660.221 | + | 214.519i | 0.831513 | + | 0.270175i | ||||
\(795\) | −27.6469 | − | 39.0768i | −0.0347760 | − | 0.0491532i | ||||
\(796\) | 2.23441 | + | 6.87680i | 0.00280704 | + | 0.00863919i | ||||
\(797\) | −91.0589 | + | 178.713i | −0.114252 | + | 0.224232i | −0.941051 | − | 0.338266i | \(-0.890160\pi\) |
0.826799 | + | 0.562498i | \(0.190160\pi\) | |||||||
\(798\) | −2644.82 | + | 418.898i | −3.31431 | + | 0.524935i | ||||
\(799\) | − | 470.160i | − | 0.588435i | ||||||
\(800\) | 463.877 | + | 487.818i | 0.579846 | + | 0.609773i | ||||
\(801\) | −137.950 | −0.172222 | ||||||||
\(802\) | 17.2732 | + | 109.059i | 0.0215376 | + | 0.135983i | ||||
\(803\) | 156.945 | + | 79.9674i | 0.195448 | + | 0.0995858i | ||||
\(804\) | 1660.10 | − | 539.399i | 2.06480 | − | 0.670894i | ||||
\(805\) | −1071.62 | − | 799.359i | −1.33121 | − | 0.992992i | ||||
\(806\) | −14.8636 | + | 45.7455i | −0.0184412 | + | 0.0567563i | ||||
\(807\) | 538.356 | + | 538.356i | 0.667108 | + | 0.667108i | ||||
\(808\) | −377.343 | − | 740.578i | −0.467009 | − | 0.916557i | ||||
\(809\) | −837.689 | − | 1152.98i | −1.03546 | − | 1.42519i | −0.900766 | − | 0.434304i | \(-0.856994\pi\) |
−0.134695 | − | 0.990887i | \(-0.543006\pi\) | |||||||
\(810\) | 1435.10 | + | 245.835i | 1.77173 | + | 0.303501i | ||||
\(811\) | 901.333 | + | 654.857i | 1.11138 | + | 0.807468i | 0.982881 | − | 0.184241i | \(-0.0589827\pi\) |
0.128503 | + | 0.991709i | \(0.458983\pi\) | |||||||
\(812\) | −18.9732 | − | 3.00506i | −0.0233660 | − | 0.00370081i | ||||
\(813\) | 15.5059 | − | 97.9001i | 0.0190724 | − | 0.120418i | ||||
\(814\) | −86.0055 | + | 118.376i | −0.105658 | + | 0.145426i | ||||
\(815\) | −128.411 | + | 749.617i | −0.157559 | + | 0.919776i | ||||
\(816\) | −77.5923 | + | 56.3741i | −0.0950886 | + | 0.0690859i | ||||
\(817\) | −1043.08 | + | 531.477i | −1.27672 | + | 0.650522i | ||||
\(818\) | −1172.38 | + | 1172.38i | −1.43322 | + | 1.43322i | ||||
\(819\) | 39.1775 | + | 12.7295i | 0.0478358 | + | 0.0155428i | ||||
\(820\) | −38.5200 | + | 51.6400i | −0.0469756 | + | 0.0629756i | ||||
\(821\) | 390.798 | + | 1202.75i | 0.476002 | + | 1.46498i | 0.844602 | + | 0.535395i | \(0.179837\pi\) |
−0.368600 | + | 0.929588i | \(0.620163\pi\) | |||||||
\(822\) | 1055.19 | − | 2070.93i | 1.28369 | − | 2.51938i | ||||
\(823\) | −1141.29 | + | 180.762i | −1.38674 | + | 0.219638i | −0.804777 | − | 0.593577i | \(-0.797715\pi\) |
−0.581964 | + | 0.813215i | \(0.697715\pi\) | |||||||
\(824\) | 959.350i | 1.16426i | ||||||||
\(825\) | −59.6890 | − | 124.810i | −0.0723503 | − | 0.151285i | ||||
\(826\) | −699.392 | −0.846721 | ||||||||
\(827\) | −98.0146 | − | 618.840i | −0.118518 | − | 0.748295i | −0.973339 | − | 0.229371i | \(-0.926333\pi\) |
0.854821 | − | 0.518923i | \(-0.173667\pi\) | |||||||
\(828\) | −144.365 | − | 73.5575i | −0.174354 | − | 0.0888376i | ||||
\(829\) | −671.187 | + | 218.082i | −0.809634 | + | 0.263066i | −0.684443 | − | 0.729067i | \(-0.739954\pi\) |
−0.125191 | + | 0.992133i | \(0.539954\pi\) | |||||||
\(830\) | 60.1102 | − | 42.5280i | 0.0724219 | − | 0.0512386i | ||||
\(831\) | 288.639 | − | 888.341i | 0.347340 | − | 1.06900i | ||||
\(832\) | −289.962 | − | 289.962i | −0.348511 | − | 0.348511i | ||||
\(833\) | −296.859 | − | 582.619i | −0.356374 | − | 0.699423i | ||||
\(834\) | −545.237 | − | 750.455i | −0.653762 | − | 0.899826i | ||||
\(835\) | −881.548 | + | 435.295i | −1.05575 | + | 0.521312i | ||||
\(836\) | −234.370 | − | 170.280i | −0.280346 | − | 0.203684i | ||||
\(837\) | −89.8913 | − | 14.2374i | −0.107397 | − | 0.0170100i | ||||
\(838\) | 366.922 | − | 2316.65i | 0.437854 | − | 2.76450i | ||||
\(839\) | 308.459 | − | 424.557i | 0.367651 | − | 0.506028i | −0.584610 | − | 0.811315i | \(-0.698752\pi\) |
0.952260 | + | 0.305287i | \(0.0987523\pi\) | |||||||
\(840\) | 1101.79 | − | 1074.42i | 1.31165 | − | 1.27907i | ||||
\(841\) | −680.326 | + | 494.286i | −0.808949 | + | 0.587736i | ||||
\(842\) | −1950.63 | + | 993.895i | −2.31666 | + | 1.18040i | ||||
\(843\) | 507.988 | − | 507.988i | 0.602596 | − | 0.602596i | ||||
\(844\) | 1526.20 | + | 495.891i | 1.80829 | + | 0.587549i | ||||
\(845\) | −721.263 | − | 244.422i | −0.853565 | − | 0.289257i | ||||
\(846\) | 44.3392 | + | 136.462i | 0.0524104 | + | 0.161303i | ||||
\(847\) | 569.208 | − | 1117.13i | 0.672028 | − | 1.31893i | ||||
\(848\) | 8.92901 | − | 1.41422i | 0.0105295 | − | 0.00166771i | ||||
\(849\) | − | 235.462i | − | 0.277341i | ||||||
\(850\) | 475.665 | + | 690.574i | 0.559606 | + | 0.812440i | ||||
\(851\) | 638.366 | 0.750137 | ||||||||
\(852\) | 7.77027 | + | 49.0596i | 0.00912004 | + | 0.0575816i | ||||
\(853\) | 1096.28 | + | 558.582i | 1.28520 | + | 0.654844i | 0.957089 | − | 0.289795i | \(-0.0935870\pi\) |
0.328114 | + | 0.944638i | \(0.393587\pi\) | |||||||
\(854\) | 2612.09 | − | 848.718i | 3.05865 | − | 0.993815i | ||||
\(855\) | 34.2325 | + | 110.047i | 0.0400380 | + | 0.128710i | ||||
\(856\) | 10.9198 | − | 33.6077i | 0.0127568 | − | 0.0392614i | ||||
\(857\) | −306.519 | − | 306.519i | −0.357665 | − | 0.357665i | 0.505287 | − | 0.862951i | \(-0.331387\pi\) |
−0.862951 | + | 0.505287i | \(0.831387\pi\) | |||||||
\(858\) | 33.7199 | + | 66.1790i | 0.0393006 | + | 0.0771317i | ||||
\(859\) | 425.400 | + | 585.513i | 0.495228 | + | 0.681622i | 0.981341 | − | 0.192273i | \(-0.0615860\pi\) |
−0.486114 | + | 0.873895i | \(0.661586\pi\) | |||||||
\(860\) | 761.065 | − | 1448.35i | 0.884959 | − | 1.68413i | ||||
\(861\) | −51.4570 | − | 37.3857i | −0.0597643 | − | 0.0434213i | ||||
\(862\) | 2193.78 | + | 347.461i | 2.54499 | + | 0.403087i | ||||
\(863\) | −221.984 | + | 1401.55i | −0.257224 | + | 1.62405i | 0.433657 | + | 0.901078i | \(0.357223\pi\) |
−0.690881 | + | 0.722969i | \(0.742777\pi\) | |||||||
\(864\) | 401.938 | − | 553.220i | 0.465205 | − | 0.640300i | ||||
\(865\) | 356.981 | − | 51.9473i | 0.412695 | − | 0.0600546i | ||||
\(866\) | −1870.56 | + | 1359.04i | −2.16000 | + | 1.56933i | ||||
\(867\) | −519.257 | + | 264.575i | −0.598913 | + | 0.305161i | ||||
\(868\) | −183.043 | + | 183.043i | −0.210879 | + | 0.210879i | ||||
\(869\) | −28.8194 | − | 9.36400i | −0.0331639 | − | 0.0107756i | ||||
\(870\) | −0.173276 | + | 13.7780i | −0.000199168 | + | 0.0158368i | ||||
\(871\) | 102.839 | + | 316.506i | 0.118070 | + | 0.363382i | ||||
\(872\) | 309.091 | − | 606.626i | 0.354463 | − | 0.695672i | ||||
\(873\) | 130.707 | − | 20.7019i | 0.149721 | − | 0.0237135i | ||||
\(874\) | 2008.04i | 2.29753i | ||||||||
\(875\) | −903.664 | − | 974.557i | −1.03276 | − | 1.11378i | ||||
\(876\) | 2151.21 | 2.45572 | ||||||||
\(877\) | 169.141 | + | 1067.91i | 0.192863 | + | 1.21769i | 0.874144 | + | 0.485666i | \(0.161423\pi\) |
−0.681282 | + | 0.732021i | \(0.738577\pi\) | |||||||
\(878\) | 495.839 | + | 252.643i | 0.564737 | + | 0.287748i | ||||
\(879\) | −1444.30 | + | 469.282i | −1.64312 | + | 0.533882i | ||||
\(880\) | 26.1263 | + | 0.328572i | 0.0296890 | + | 0.000373377i | ||||
\(881\) | 147.306 | − | 453.362i | 0.167204 | − | 0.514600i | −0.831988 | − | 0.554793i | \(-0.812797\pi\) |
0.999192 | + | 0.0401934i | \(0.0127974\pi\) | |||||||
\(882\) | 141.107 | + | 141.107i | 0.159985 | + | 0.159985i | ||||
\(883\) | −364.142 | − | 714.670i | −0.412392 | − | 0.809365i | −1.00000 | 0.000219342i | \(-0.999930\pi\) | |
0.587608 | − | 0.809146i | \(-0.300070\pi\) | |||||||
\(884\) | −166.548 | − | 229.234i | −0.188403 | − | 0.259315i | ||||
\(885\) | 45.4695 | + | 312.466i | 0.0513780 | + | 0.353069i | ||||
\(886\) | −1452.81 | − | 1055.53i | −1.63974 | − | 1.19134i | ||||
\(887\) | −73.1702 | − | 11.5890i | −0.0824918 | − | 0.0130654i | 0.115052 | − | 0.993359i | \(-0.463296\pi\) |
−0.197544 | + | 0.980294i | \(0.563296\pi\) | |||||||
\(888\) | −114.953 | + | 725.782i | −0.129451 | + | 0.817322i | ||||
\(889\) | −574.200 | + | 790.318i | −0.645894 | + | 0.888997i | ||||
\(890\) | −2115.20 | − | 1111.47i | −2.37663 | − | 1.24884i | ||||
\(891\) | −125.813 | + | 91.4086i | −0.141204 | + | 0.102591i | ||||
\(892\) | 403.491 | − | 205.589i | 0.452344 | − | 0.230481i | ||||
\(893\) | 791.436 | − | 791.436i | 0.886266 | − | 0.886266i | ||||
\(894\) | −1354.13 | − | 439.983i | −1.51468 | − | 0.492151i | ||||
\(895\) | 815.044 | − | 253.538i | 0.910664 | − | 0.283282i | ||||
\(896\) | −729.623 | − | 2245.55i | −0.814312 | − | 2.50619i | ||||
\(897\) | 147.112 | − | 288.724i | 0.164004 | − | 0.321877i | ||||
\(898\) | 147.768 | − | 23.4042i | 0.164553 | − | 0.0260626i | ||||
\(899\) | − | 0.953080i | − | 0.00106016i | ||||||
\(900\) | −127.887 | − | 97.9222i | −0.142096 | − | 0.108802i | ||||
\(901\) | −30.9885 | −0.0343935 | ||||||||
\(902\) | −1.71023 | − | 10.7980i | −0.00189604 | − | 0.0119711i | ||||
\(903\) | 1439.26 | + | 733.339i | 1.59386 | + | 0.812114i | ||||
\(904\) | −1815.06 | + | 589.748i | −2.00781 | + | 0.652377i | ||||
\(905\) | 544.201 | − | 1605.88i | 0.601327 | − | 1.77445i | ||||
\(906\) | −719.495 | + | 2214.38i | −0.794145 | + | 2.44413i | ||||
\(907\) | 958.275 | + | 958.275i | 1.05653 | + | 1.05653i | 0.998303 | + | 0.0582292i | \(0.0185454\pi\) |
0.0582292 | + | 0.998303i | \(0.481455\pi\) | |||||||
\(908\) | 1143.49 | + | 2244.22i | 1.25935 | + | 2.47161i | ||||
\(909\) | −50.4827 | − | 69.4835i | −0.0555366 | − | 0.0764395i | ||||
\(910\) | 498.149 | + | 510.838i | 0.547417 | + | 0.561361i | ||||
\(911\) | 477.623 | + | 347.013i | 0.524284 | + | 0.380915i | 0.818215 | − | 0.574912i | \(-0.194964\pi\) |
−0.293931 | + | 0.955827i | \(0.594964\pi\) | |||||||
\(912\) | −225.510 | − | 35.7173i | −0.247270 | − | 0.0391637i | ||||
\(913\) | −1.23031 | + | 7.76784i | −0.00134754 | + | 0.00850804i | ||||
\(914\) | −364.668 | + | 501.922i | −0.398980 | + | 0.549149i | ||||
\(915\) | −549.000 | − | 1111.82i | −0.600000 | − | 1.21510i | ||||
\(916\) | 227.397 | − | 165.214i | 0.248250 | − | 0.180364i | ||||
\(917\) | 1325.73 | − | 675.492i | 1.44572 | − | 0.736632i | ||||
\(918\) | 602.322 | − | 602.322i | 0.656124 | − | 0.656124i | ||||
\(919\) | −922.085 | − | 299.604i | −1.00336 | − | 0.326011i | −0.239151 | − | 0.970982i | \(-0.576869\pi\) |
−0.764206 | + | 0.644972i | \(0.776869\pi\) | |||||||
\(920\) | −666.528 | − | 942.087i | −0.724487 | − | 1.02401i | ||||
\(921\) | −135.790 | − | 417.917i | −0.147437 | − | 0.453765i | ||||
\(922\) | −496.399 | + | 974.237i | −0.538393 | + | 1.05666i | ||||
\(923\) | −9.35343 | + | 1.48144i | −0.0101337 | + | 0.00160502i | ||||
\(924\) | 399.727i | 0.432605i | ||||||||
\(925\) | 624.101 | + | 115.006i | 0.674704 | + | 0.124331i | ||||
\(926\) | −737.928 | −0.796898 | ||||||||
\(927\) | 15.5076 | + | 97.9109i | 0.0167288 | + | 0.105621i | ||||
\(928\) | 6.38047 | + | 3.25101i | 0.00687550 | + | 0.00350324i | ||||
\(929\) | 593.663 | − | 192.893i | 0.639035 | − | 0.207635i | 0.0284617 | − | 0.999595i | \(-0.490939\pi\) |
0.610573 | + | 0.791960i | \(0.290939\pi\) | |||||||
\(930\) | 148.834 | + | 111.021i | 0.160037 | + | 0.119377i | ||||
\(931\) | 481.029 | − | 1480.46i | 0.516680 | − | 1.59018i | ||||
\(932\) | −170.147 | − | 170.147i | −0.182561 | − | 0.182561i | ||||
\(933\) | −565.504 | − | 1109.86i | −0.606114 | − | 1.18957i | ||||
\(934\) | −7.01812 | − | 9.65962i | −0.00751405 | − | 0.0103422i | ||||
\(935\) | −88.2774 | − | 15.1221i | −0.0944144 | − | 0.0161734i | ||||
\(936\) | 28.7674 | + | 20.9008i | 0.0307345 | + | 0.0223299i | ||||
\(937\) | −1250.38 | − | 198.040i | −1.33445 | − | 0.211355i | −0.551880 | − | 0.833924i | \(-0.686089\pi\) |
−0.782566 | + | 0.622568i | \(0.786089\pi\) | |||||||
\(938\) | −445.142 | + | 2810.52i | −0.474565 | + | 2.99629i | ||||
\(939\) | −412.561 | + | 567.842i | −0.439362 | + | 0.604730i | ||||
\(940\) | −264.116 | + | 1541.82i | −0.280975 | + | 1.64023i | ||||
\(941\) | 511.738 | − | 371.799i | 0.543823 | − | 0.395111i | −0.281680 | − | 0.959508i | \(-0.590892\pi\) |
0.825503 | + | 0.564398i | \(0.190892\pi\) | |||||||
\(942\) | 305.452 | − | 155.635i | 0.324259 | − | 0.165218i | ||||
\(943\) | −33.7263 | + | 33.7263i | −0.0357649 | + | 0.0357649i | ||||
\(944\) | −56.7149 | − | 18.4278i | −0.0600793 | − | 0.0195210i | ||||
\(945\) | −807.231 | + | 1082.17i | −0.854213 | + | 1.14516i | ||||
\(946\) | 85.7976 | + | 264.058i | 0.0906951 | + | 0.279131i | ||||
\(947\) | −263.136 | + | 516.434i | −0.277863 | + | 0.545336i | −0.987191 | − | 0.159542i | \(-0.948998\pi\) |
0.709328 | + | 0.704878i | \(0.248998\pi\) | |||||||
\(948\) | −365.523 | + | 57.8932i | −0.385573 | + | 0.0610688i | ||||
\(949\) | 410.137i | 0.432178i | ||||||||
\(950\) | −361.764 | + | 1963.17i | −0.380804 | + | 2.06649i | ||||
\(951\) | −218.065 | −0.229301 | ||||||||
\(952\) | −155.850 | − | 984.001i | −0.163708 | − | 1.03361i | ||||
\(953\) | −1558.82 | − | 794.259i | −1.63570 | − | 0.833430i | −0.998005 | − | 0.0631412i | \(-0.979888\pi\) |
−0.637695 | − | 0.770289i | \(-0.720112\pi\) | |||||||
\(954\) | 8.99429 | − | 2.92242i | 0.00942798 | − | 0.00306334i | ||||
\(955\) | −1328.30 | + | 939.771i | −1.39089 | + | 0.984054i | ||||
\(956\) | −101.489 | + | 312.351i | −0.106160 | + | 0.326727i | ||||
\(957\) | −1.04067 | − | 1.04067i | −0.00108742 | − | 0.00108742i | ||||
\(958\) | −196.644 | − | 385.936i | −0.205265 | − | 0.402855i | ||||
\(959\) | 1401.77 | + | 1929.37i | 1.46170 | + | 2.01185i | ||||
\(960\) | −1419.38 | + | 700.871i | −1.47853 | + | 0.730074i | ||||
\(961\) | 767.075 | + | 557.313i | 0.798205 | + | 0.579930i | ||||
\(962\) | −336.504 | − | 53.2971i | −0.349797 | − | 0.0554023i | ||||
\(963\) | 0.571215 | − | 3.60651i | 0.000593162 | − | 0.00374508i | ||||
\(964\) | 831.049 | − | 1143.84i | 0.862084 | − | 1.18656i | ||||
\(965\) | −284.664 | + | 277.593i | −0.294989 | + | 0.287661i | ||||
\(966\) | 2241.56 | − | 1628.59i | 2.32046 | − | 1.68591i | ||||
\(967\) | 1615.87 | − | 823.328i | 1.67102 | − | 0.851425i | 0.677785 | − | 0.735260i | \(-0.262940\pi\) |
0.993230 | − | 0.116165i | \(-0.0370601\pi\) | |||||||
\(968\) | 765.284 | − | 765.284i | 0.790582 | − | 0.790582i | ||||
\(969\) | 744.338 | + | 241.850i | 0.768150 | + | 0.249587i | ||||
\(970\) | 2170.93 | + | 735.686i | 2.23807 | + | 0.758439i | ||||
\(971\) | −307.744 | − | 947.139i | −0.316935 | − | 0.975427i | −0.974950 | − | 0.222422i | \(-0.928604\pi\) |
0.658015 | − | 0.753005i | \(-0.271396\pi\) | |||||||
\(972\) | −157.313 | + | 308.745i | −0.161845 | + | 0.317639i | ||||
\(973\) | 940.067 | − | 148.892i | 0.966153 | − | 0.153024i | ||||
\(974\) | − | 2839.79i | − | 2.91560i | ||||||
\(975\) | 195.840 | − | 255.768i | 0.200862 | − | 0.262327i | ||||
\(976\) | 234.181 | 0.239939 | ||||||||
\(977\) | 34.3026 | + | 216.578i | 0.0351101 | + | 0.221676i | 0.999005 | − | 0.0446081i | \(-0.0142039\pi\) |
−0.963894 | + | 0.266285i | \(0.914204\pi\) | |||||||
\(978\) | −1404.40 | − | 715.575i | −1.43599 | − | 0.731672i | ||||
\(979\) | 242.722 | − | 78.8650i | 0.247928 | − | 0.0805567i | ||||
\(980\) | 646.213 | + | 2077.37i | 0.659401 | + | 2.11977i | ||||
\(981\) | 21.7399 | − | 66.9084i | 0.0221609 | − | 0.0682043i | ||||
\(982\) | −159.694 | − | 159.694i | −0.162621 | − | 0.162621i | ||||
\(983\) | 438.146 | + | 859.910i | 0.445723 | + | 0.874781i | 0.999123 | + | 0.0418655i | \(0.0133301\pi\) |
−0.553400 | + | 0.832916i | \(0.686670\pi\) | |||||||
\(984\) | −32.2715 | − | 44.4179i | −0.0327962 | − | 0.0451401i | ||||
\(985\) | 381.017 | − | 725.099i | 0.386819 | − | 0.736141i | ||||
\(986\) | 7.21661 | + | 5.24317i | 0.00731908 | + | 0.00531762i | ||||
\(987\) | −1525.35 | − | 241.592i | −1.54545 | − | 0.244775i | ||||
\(988\) | 105.521 | − | 666.234i | 0.106803 | − | 0.674326i | ||||
\(989\) | 711.989 | − | 979.969i | 0.719908 | − | 0.990869i | ||||
\(990\) | 27.0483 | − | 3.93602i | 0.0273215 | − | 0.00397577i | ||||
\(991\) | 656.840 | − | 477.222i | 0.662805 | − | 0.481556i | −0.204804 | − | 0.978803i | \(-0.565656\pi\) |
0.867609 | + | 0.497247i | \(0.165656\pi\) | |||||||
\(992\) | 85.9803 | − | 43.8092i | 0.0866737 | − | 0.0441625i | ||||
\(993\) | −1110.52 | + | 1110.52i | −1.11835 | + | 1.11835i | ||||
\(994\) | −77.0103 | − | 25.0222i | −0.0774751 | − | 0.0251732i | ||||
\(995\) | −0.0669221 | + | 5.32129i | −6.72584e−5 | + | 0.00534803i | ||||
\(996\) | 29.6810 | + | 91.3488i | 0.0298002 | + | 0.0917156i | ||||
\(997\) | 160.104 | − | 314.222i | 0.160586 | − | 0.315167i | −0.796668 | − | 0.604417i | \(-0.793406\pi\) |
0.957254 | + | 0.289250i | \(0.0934059\pi\) | |||||||
\(998\) | 1914.84 | − | 303.280i | 1.91867 | − | 0.303888i | ||||
\(999\) | − | 644.653i | − | 0.645298i |
(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 | 25.3.f.a.12.1 | ✓ | 32 | |
3.2 | odd | 2 | 225.3.r.a.37.4 | 32 | |||
4.3 | odd | 2 | 400.3.bg.c.337.1 | 32 | |||
5.2 | odd | 4 | 125.3.f.b.43.4 | 32 | |||
5.3 | odd | 4 | 125.3.f.a.43.1 | 32 | |||
5.4 | even | 2 | 125.3.f.c.82.4 | 32 | |||
25.2 | odd | 20 | 125.3.f.c.93.4 | 32 | |||
25.11 | even | 5 | 125.3.f.a.32.1 | 32 | |||
25.14 | even | 10 | 125.3.f.b.32.4 | 32 | |||
25.23 | odd | 20 | inner | 25.3.f.a.23.1 | yes | 32 | |
75.23 | even | 20 | 225.3.r.a.73.4 | 32 | |||
100.23 | even | 20 | 400.3.bg.c.273.1 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.3.f.a.12.1 | ✓ | 32 | 1.1 | even | 1 | trivial | |
25.3.f.a.23.1 | yes | 32 | 25.23 | odd | 20 | inner | |
125.3.f.a.32.1 | 32 | 25.11 | even | 5 | |||
125.3.f.a.43.1 | 32 | 5.3 | odd | 4 | |||
125.3.f.b.32.4 | 32 | 25.14 | even | 10 | |||
125.3.f.b.43.4 | 32 | 5.2 | odd | 4 | |||
125.3.f.c.82.4 | 32 | 5.4 | even | 2 | |||
125.3.f.c.93.4 | 32 | 25.2 | odd | 20 | |||
225.3.r.a.37.4 | 32 | 3.2 | odd | 2 | |||
225.3.r.a.73.4 | 32 | 75.23 | even | 20 | |||
400.3.bg.c.273.1 | 32 | 100.23 | even | 20 | |||
400.3.bg.c.337.1 | 32 | 4.3 | odd | 2 |