Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,4,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.59305157015\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.4 | ||
Character | \(\chi\) | \(=\) | 27.25 |
Dual form | 27.4.e.a.13.4 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0518956 | + | 0.294314i | −0.0183479 | + | 0.104056i | −0.992606 | − | 0.121378i | \(-0.961269\pi\) |
0.974259 | + | 0.225434i | \(0.0723799\pi\) | |||||||
\(3\) | −2.82128 | − | 4.36353i | −0.542956 | − | 0.839761i | ||||
\(4\) | 7.43361 | + | 2.70561i | 0.929202 | + | 0.338202i | ||||
\(5\) | 15.3604 | − | 12.8889i | 1.37388 | − | 1.15282i | 0.402463 | − | 0.915436i | \(-0.368154\pi\) |
0.971416 | − | 0.237385i | \(-0.0762902\pi\) | |||||||
\(6\) | 1.43066 | − | 0.603897i | 0.0973441 | − | 0.0410900i | ||||
\(7\) | −20.1945 | + | 7.35018i | −1.09040 | + | 0.396872i | −0.823768 | − | 0.566927i | \(-0.808132\pi\) |
−0.266630 | + | 0.963799i | \(0.585910\pi\) | |||||||
\(8\) | −2.37749 | + | 4.11794i | −0.105071 | + | 0.181989i | ||||
\(9\) | −11.0807 | + | 24.6215i | −0.410397 | + | 0.911907i | ||||
\(10\) | 2.99626 | + | 5.18968i | 0.0947501 | + | 0.164112i | ||||
\(11\) | 0.558890 | + | 0.468965i | 0.0153193 | + | 0.0128544i | 0.650415 | − | 0.759579i | \(-0.274595\pi\) |
−0.635096 | + | 0.772433i | \(0.719039\pi\) | |||||||
\(12\) | −9.16632 | − | 40.0701i | −0.220507 | − | 0.963936i | ||||
\(13\) | 5.34792 | + | 30.3295i | 0.114096 | + | 0.647069i | 0.987194 | + | 0.159525i | \(0.0509962\pi\) |
−0.873098 | + | 0.487545i | \(0.837893\pi\) | |||||||
\(14\) | −1.11526 | − | 6.32496i | −0.0212904 | − | 0.120744i | ||||
\(15\) | −99.5773 | − | 30.6623i | −1.71405 | − | 0.527798i | ||||
\(16\) | 47.3909 | + | 39.7657i | 0.740483 | + | 0.621339i | ||||
\(17\) | 0.666388 | + | 1.15422i | 0.00950722 | + | 0.0164670i | 0.870740 | − | 0.491744i | \(-0.163640\pi\) |
−0.861233 | + | 0.508211i | \(0.830307\pi\) | |||||||
\(18\) | −6.67142 | − | 4.53896i | −0.0873594 | − | 0.0594357i | ||||
\(19\) | −34.7473 | + | 60.1840i | −0.419556 | + | 0.726693i | −0.995895 | − | 0.0905182i | \(-0.971148\pi\) |
0.576338 | + | 0.817211i | \(0.304481\pi\) | |||||||
\(20\) | 149.056 | − | 54.2519i | 1.66650 | − | 0.606555i | ||||
\(21\) | 89.0470 | + | 67.3821i | 0.925317 | + | 0.700189i | ||||
\(22\) | −0.167027 | + | 0.140152i | −0.00161865 | + | 0.00135821i | ||||
\(23\) | −110.791 | − | 40.3246i | −1.00441 | − | 0.365577i | −0.213129 | − | 0.977024i | \(-0.568365\pi\) |
−0.791285 | + | 0.611447i | \(0.790588\pi\) | |||||||
\(24\) | 24.6763 | − | 1.24362i | 0.209876 | − | 0.0105772i | ||||
\(25\) | 48.1122 | − | 272.858i | 0.384898 | − | 2.18286i | ||||
\(26\) | −9.20396 | −0.0694248 | ||||||||
\(27\) | 138.698 | − | 21.1133i | 0.988611 | − | 0.150491i | ||||
\(28\) | −170.005 | −1.14742 | ||||||||
\(29\) | −15.9844 | + | 90.6519i | −0.102353 | + | 0.580470i | 0.889892 | + | 0.456171i | \(0.150779\pi\) |
−0.992245 | + | 0.124299i | \(0.960332\pi\) | |||||||
\(30\) | 14.1920 | − | 27.7158i | 0.0863696 | − | 0.168673i | ||||
\(31\) | 175.726 | + | 63.9590i | 1.01811 | + | 0.370561i | 0.796541 | − | 0.604585i | \(-0.206661\pi\) |
0.221566 | + | 0.975145i | \(0.428883\pi\) | |||||||
\(32\) | −43.3032 | + | 36.3357i | −0.239219 | + | 0.200728i | ||||
\(33\) | 0.469551 | − | 3.76182i | 0.00247692 | − | 0.0198439i | ||||
\(34\) | −0.374285 | + | 0.136229i | −0.00188792 | + | 0.000687148i | ||||
\(35\) | −215.460 | + | 373.187i | −1.04055 | + | 1.80229i | ||||
\(36\) | −148.986 | + | 153.047i | −0.689750 | + | 0.708549i | ||||
\(37\) | −74.3188 | − | 128.724i | −0.330214 | − | 0.571948i | 0.652339 | − | 0.757927i | \(-0.273788\pi\) |
−0.982554 | + | 0.185979i | \(0.940454\pi\) | |||||||
\(38\) | −15.9098 | − | 13.3499i | −0.0679187 | − | 0.0569906i | ||||
\(39\) | 117.256 | − | 108.904i | 0.481435 | − | 0.447144i | ||||
\(40\) | 16.5565 | + | 93.8966i | 0.0654453 | + | 0.371159i | ||||
\(41\) | −55.1187 | − | 312.593i | −0.209953 | − | 1.19070i | −0.889452 | − | 0.457028i | \(-0.848914\pi\) |
0.679499 | − | 0.733677i | \(-0.262197\pi\) | |||||||
\(42\) | −24.4527 | + | 22.7110i | −0.0898364 | + | 0.0834377i | ||||
\(43\) | −220.661 | − | 185.157i | −0.782571 | − | 0.656655i | 0.161324 | − | 0.986902i | \(-0.448424\pi\) |
−0.943895 | + | 0.330246i | \(0.892868\pi\) | |||||||
\(44\) | 2.88574 | + | 4.99824i | 0.00988730 | + | 0.0171253i | ||||
\(45\) | 147.140 | + | 521.015i | 0.487431 | + | 1.72596i | ||||
\(46\) | 17.6177 | − | 30.5147i | 0.0564692 | − | 0.0978076i | ||||
\(47\) | 19.8826 | − | 7.23668i | 0.0617059 | − | 0.0224591i | −0.310983 | − | 0.950416i | \(-0.600658\pi\) |
0.372689 | + | 0.927956i | \(0.378436\pi\) | |||||||
\(48\) | 39.8154 | − | 318.982i | 0.119726 | − | 0.959189i | ||||
\(49\) | 91.0377 | − | 76.3897i | 0.265416 | − | 0.222711i | ||||
\(50\) | 77.8093 | + | 28.3203i | 0.220078 | + | 0.0801018i | ||||
\(51\) | 3.15639 | − | 6.16418i | 0.00866633 | − | 0.0169247i | ||||
\(52\) | −42.3057 | + | 239.928i | −0.112822 | + | 0.639845i | ||||
\(53\) | 136.732 | 0.354369 | 0.177184 | − | 0.984178i | \(-0.443301\pi\) | ||||
0.177184 | + | 0.984178i | \(0.443301\pi\) | |||||||
\(54\) | −0.983887 | + | 41.9166i | −0.00247945 | + | 0.105632i | ||||
\(55\) | 14.6293 | 0.0358656 | ||||||||
\(56\) | 17.7446 | − | 100.634i | 0.0423432 | − | 0.240140i | ||||
\(57\) | 360.646 | − | 18.1757i | 0.838049 | − | 0.0422356i | ||||
\(58\) | −25.8506 | − | 9.40886i | −0.0585234 | − | 0.0213008i | ||||
\(59\) | 36.7754 | − | 30.8583i | 0.0811484 | − | 0.0680916i | −0.601311 | − | 0.799015i | \(-0.705355\pi\) |
0.682460 | + | 0.730923i | \(0.260910\pi\) | |||||||
\(60\) | −657.259 | − | 497.349i | −1.41420 | − | 1.07013i | ||||
\(61\) | 509.543 | − | 185.458i | 1.06951 | − | 0.389271i | 0.253518 | − | 0.967331i | \(-0.418412\pi\) |
0.815994 | + | 0.578060i | \(0.196190\pi\) | |||||||
\(62\) | −27.9435 | + | 48.3995i | −0.0572391 | + | 0.0991410i | ||||
\(63\) | 42.7965 | − | 578.663i | 0.0855849 | − | 1.15722i | ||||
\(64\) | 239.011 | + | 413.979i | 0.466818 | + | 0.808553i | ||||
\(65\) | 473.062 | + | 396.946i | 0.902709 | + | 0.757463i | ||||
\(66\) | 1.08279 | + | 0.333417i | 0.00201943 | + | 0.000621831i | ||||
\(67\) | −15.9741 | − | 90.5935i | −0.0291275 | − | 0.165190i | 0.966774 | − | 0.255632i | \(-0.0822834\pi\) |
−0.995902 | + | 0.0904411i | \(0.971172\pi\) | |||||||
\(68\) | 1.83080 | + | 10.3830i | 0.00326496 | + | 0.0185165i | ||||
\(69\) | 136.615 | + | 597.206i | 0.238356 | + | 1.04196i | ||||
\(70\) | −98.6529 | − | 82.7796i | −0.168447 | − | 0.141344i | ||||
\(71\) | −531.589 | − | 920.739i | −0.888563 | − | 1.53904i | −0.841574 | − | 0.540141i | \(-0.818371\pi\) |
−0.0469890 | − | 0.998895i | \(-0.514963\pi\) | |||||||
\(72\) | −75.0455 | − | 104.167i | −0.122836 | − | 0.170503i | ||||
\(73\) | −342.332 | + | 592.936i | −0.548862 | + | 0.950657i | 0.449491 | + | 0.893285i | \(0.351605\pi\) |
−0.998353 | + | 0.0573721i | \(0.981728\pi\) | |||||||
\(74\) | 41.7421 | − | 15.1929i | 0.0655733 | − | 0.0238667i | ||||
\(75\) | −1326.36 | + | 559.871i | −2.04207 | + | 0.861978i | ||||
\(76\) | −421.132 | + | 353.372i | −0.635621 | + | 0.533350i | ||||
\(77\) | −14.7335 | − | 5.36254i | −0.0218056 | − | 0.00793660i | ||||
\(78\) | 25.9670 | + | 40.1617i | 0.0376946 | + | 0.0583002i | ||||
\(79\) | −116.266 | + | 659.375i | −0.165581 | + | 0.939056i | 0.782882 | + | 0.622170i | \(0.213749\pi\) |
−0.948463 | + | 0.316887i | \(0.897363\pi\) | |||||||
\(80\) | 1240.48 | 1.73363 | ||||||||
\(81\) | −483.436 | − | 545.647i | −0.663149 | − | 0.748487i | ||||
\(82\) | 94.8612 | 0.127752 | ||||||||
\(83\) | 96.8709 | − | 549.382i | 0.128108 | − | 0.726537i | −0.851305 | − | 0.524671i | \(-0.824188\pi\) |
0.979413 | − | 0.201866i | \(-0.0647005\pi\) | |||||||
\(84\) | 479.631 | + | 741.819i | 0.623001 | + | 0.963561i | ||||
\(85\) | 25.1126 | + | 9.14025i | 0.0320453 | + | 0.0116635i | ||||
\(86\) | 65.9457 | − | 55.3350i | 0.0826873 | − | 0.0693829i | ||||
\(87\) | 440.658 | − | 186.007i | 0.543029 | − | 0.229218i | ||||
\(88\) | −3.25992 | + | 1.18652i | −0.00394897 | + | 0.00143731i | ||||
\(89\) | −269.288 | + | 466.421i | −0.320724 | + | 0.555511i | −0.980638 | − | 0.195831i | \(-0.937260\pi\) |
0.659913 | + | 0.751342i | \(0.270593\pi\) | |||||||
\(90\) | −160.978 | + | 16.2671i | −0.188540 | + | 0.0190523i | ||||
\(91\) | −330.926 | − | 573.181i | −0.381214 | − | 0.660282i | ||||
\(92\) | −714.474 | − | 599.515i | −0.809664 | − | 0.679389i | ||||
\(93\) | −216.686 | − | 947.232i | −0.241605 | − | 1.05616i | ||||
\(94\) | 1.09804 | + | 6.22729i | 0.00120483 | + | 0.00683294i | ||||
\(95\) | 241.975 | + | 1372.31i | 0.261327 | + | 1.48206i | ||||
\(96\) | 280.723 | + | 86.4413i | 0.298449 | + | 0.0918998i | ||||
\(97\) | 226.888 | + | 190.381i | 0.237494 | + | 0.199281i | 0.753765 | − | 0.657144i | \(-0.228236\pi\) |
−0.516271 | + | 0.856426i | \(0.672680\pi\) | |||||||
\(98\) | 17.7581 | + | 30.7580i | 0.0183045 | + | 0.0317044i | ||||
\(99\) | −17.7395 | + | 8.56426i | −0.0180090 | + | 0.00869434i | ||||
\(100\) | 1095.90 | − | 1898.15i | 1.09590 | − | 1.89815i | ||||
\(101\) | −1607.63 | + | 585.129i | −1.58381 | + | 0.576460i | −0.976028 | − | 0.217643i | \(-0.930163\pi\) |
−0.607783 | + | 0.794103i | \(0.707941\pi\) | |||||||
\(102\) | 1.65040 | + | 1.24886i | 0.00160210 | + | 0.00121231i | ||||
\(103\) | 507.261 | − | 425.643i | 0.485262 | − | 0.407183i | −0.367063 | − | 0.930196i | \(-0.619637\pi\) |
0.852325 | + | 0.523013i | \(0.175192\pi\) | |||||||
\(104\) | −137.610 | − | 50.0859i | −0.129748 | − | 0.0472243i | ||||
\(105\) | 2236.28 | − | 112.703i | 2.07847 | − | 0.104750i | ||||
\(106\) | −7.09577 | + | 40.2421i | −0.00650191 | + | 0.0368742i | ||||
\(107\) | 877.064 | 0.792421 | 0.396210 | − | 0.918160i | \(-0.370325\pi\) | ||||
0.396210 | + | 0.918160i | \(0.370325\pi\) | |||||||
\(108\) | 1088.15 | + | 218.316i | 0.969516 | + | 0.194514i | ||||
\(109\) | 1106.66 | 0.972464 | 0.486232 | − | 0.873830i | \(-0.338371\pi\) | ||||
0.486232 | + | 0.873830i | \(0.338371\pi\) | |||||||
\(110\) | −0.759194 | + | 4.30560i | −0.000658057 | + | 0.00373203i | ||||
\(111\) | −352.016 | + | 687.459i | −0.301008 | + | 0.587844i | ||||
\(112\) | −1249.32 | − | 454.715i | −1.05401 | − | 0.383630i | ||||
\(113\) | 512.305 | − | 429.875i | 0.426492 | − | 0.357870i | −0.404134 | − | 0.914700i | \(-0.632427\pi\) |
0.830626 | + | 0.556830i | \(0.187983\pi\) | |||||||
\(114\) | −13.3666 | + | 107.087i | −0.0109815 | + | 0.0879789i | ||||
\(115\) | −2221.54 | + | 808.574i | −1.80139 | + | 0.655651i | ||||
\(116\) | −364.091 | + | 630.623i | −0.291422 | + | 0.504758i | ||||
\(117\) | −806.017 | − | 204.399i | −0.636892 | − | 0.161510i | ||||
\(118\) | 7.17355 | + | 12.4249i | 0.00559643 | + | 0.00969330i | ||||
\(119\) | −21.9410 | − | 18.4107i | −0.0169020 | − | 0.0141824i | ||||
\(120\) | 363.010 | − | 337.154i | 0.276151 | − | 0.256482i | ||||
\(121\) | −231.033 | − | 1310.25i | −0.173579 | − | 0.984414i | ||||
\(122\) | 28.1401 | + | 159.590i | 0.0208826 | + | 0.118431i | ||||
\(123\) | −1208.50 | + | 1122.43i | −0.885912 | + | 0.822811i | ||||
\(124\) | 1133.23 | + | 950.894i | 0.820703 | + | 0.688651i | ||||
\(125\) | −1524.60 | − | 2640.68i | −1.09091 | − | 1.88952i | ||||
\(126\) | 168.088 | + | 42.6257i | 0.118845 | + | 0.0301381i | ||||
\(127\) | −451.431 | + | 781.902i | −0.315418 | + | 0.546319i | −0.979526 | − | 0.201317i | \(-0.935478\pi\) |
0.664109 | + | 0.747636i | \(0.268811\pi\) | |||||||
\(128\) | −559.198 | + | 203.531i | −0.386145 | + | 0.140545i | ||||
\(129\) | −185.388 | + | 1485.24i | −0.126531 | + | 1.01371i | ||||
\(130\) | −141.377 | + | 118.629i | −0.0953812 | + | 0.0800344i | ||||
\(131\) | 1798.84 | + | 654.724i | 1.19973 | + | 0.436668i | 0.863132 | − | 0.504979i | \(-0.168500\pi\) |
0.336603 | + | 0.941647i | \(0.390722\pi\) | |||||||
\(132\) | 13.6685 | − | 26.6935i | 0.00901279 | − | 0.0176013i | ||||
\(133\) | 259.339 | − | 1470.78i | 0.169079 | − | 0.958895i | ||||
\(134\) | 27.4920 | 0.0177235 | ||||||||
\(135\) | 1858.34 | − | 2111.98i | 1.18474 | − | 1.34645i | ||||
\(136\) | −6.33733 | −0.00399574 | ||||||||
\(137\) | −458.731 | + | 2601.59i | −0.286073 | + | 1.62240i | 0.415354 | + | 0.909660i | \(0.363658\pi\) |
−0.701427 | + | 0.712741i | \(0.747454\pi\) | |||||||
\(138\) | −182.856 | + | 9.21550i | −0.112795 | + | 0.00568460i | ||||
\(139\) | −155.790 | − | 56.7028i | −0.0950641 | − | 0.0346005i | 0.294050 | − | 0.955790i | \(-0.404997\pi\) |
−0.389114 | + | 0.921189i | \(0.627219\pi\) | |||||||
\(140\) | −2611.34 | + | 2191.18i | −1.57642 | + | 1.32277i | ||||
\(141\) | −87.6720 | − | 66.3416i | −0.0523639 | − | 0.0396239i | ||||
\(142\) | 298.574 | − | 108.672i | 0.176449 | − | 0.0642222i | ||||
\(143\) | −11.2346 | + | 19.4589i | −0.00656982 | + | 0.0113793i | ||||
\(144\) | −1504.22 | + | 726.203i | −0.870495 | + | 0.420256i | ||||
\(145\) | 922.879 | + | 1598.47i | 0.528558 | + | 0.915490i | ||||
\(146\) | −156.744 | − | 131.524i | −0.0888510 | − | 0.0745548i | ||||
\(147\) | −590.172 | − | 181.728i | −0.331133 | − | 0.101964i | ||||
\(148\) | −204.180 | − | 1157.96i | −0.113402 | − | 0.643134i | ||||
\(149\) | −238.886 | − | 1354.79i | −0.131344 | − | 0.744890i | −0.977336 | − | 0.211694i | \(-0.932102\pi\) |
0.845992 | − | 0.533196i | \(-0.179009\pi\) | |||||||
\(150\) | −95.9459 | − | 419.422i | −0.0522263 | − | 0.228305i | ||||
\(151\) | 286.970 | + | 240.797i | 0.154658 | + | 0.129773i | 0.716833 | − | 0.697245i | \(-0.245591\pi\) |
−0.562175 | + | 0.827018i | \(0.690035\pi\) | |||||||
\(152\) | −165.223 | − | 286.174i | −0.0881666 | − | 0.152709i | ||||
\(153\) | −35.8026 | + | 3.61791i | −0.0189181 | + | 0.00191171i | ||||
\(154\) | 2.34288 | − | 4.05798i | 0.00122594 | − | 0.00212339i | ||||
\(155\) | 3523.59 | − | 1282.48i | 1.82595 | − | 0.664590i | ||||
\(156\) | 1166.29 | − | 492.302i | 0.598575 | − | 0.252665i | ||||
\(157\) | −404.609 | + | 339.507i | −0.205677 | + | 0.172584i | −0.739808 | − | 0.672818i | \(-0.765084\pi\) |
0.534131 | + | 0.845402i | \(0.320639\pi\) | |||||||
\(158\) | −188.030 | − | 68.4373i | −0.0946763 | − | 0.0344593i | ||||
\(159\) | −385.759 | − | 596.633i | −0.192407 | − | 0.297585i | ||||
\(160\) | −196.828 | + | 1116.26i | −0.0972537 | + | 0.551553i | ||||
\(161\) | 2533.76 | 1.24030 | ||||||||
\(162\) | 185.680 | − | 113.965i | 0.0900519 | − | 0.0552714i | ||||
\(163\) | −714.227 | −0.343206 | −0.171603 | − | 0.985166i | \(-0.554895\pi\) | ||||
−0.171603 | + | 0.985166i | \(0.554895\pi\) | |||||||
\(164\) | 436.026 | − | 2472.83i | 0.207609 | − | 1.17741i | ||||
\(165\) | −41.2733 | − | 63.8351i | −0.0194735 | − | 0.0301185i | ||||
\(166\) | 156.664 | + | 57.0210i | 0.0732499 | + | 0.0266608i | ||||
\(167\) | 2819.79 | − | 2366.08i | 1.30660 | − | 1.09637i | 0.317633 | − | 0.948214i | \(-0.397112\pi\) |
0.988965 | − | 0.148152i | \(-0.0473325\pi\) | |||||||
\(168\) | −489.184 | + | 206.490i | −0.224651 | + | 0.0948275i | ||||
\(169\) | 1173.22 | − | 427.018i | 0.534012 | − | 0.194364i | ||||
\(170\) | −3.99334 | + | 6.91667i | −0.00180162 | + | 0.00312050i | ||||
\(171\) | −1096.80 | − | 1522.41i | −0.490492 | − | 0.680829i | ||||
\(172\) | −1139.35 | − | 1973.41i | −0.505084 | − | 0.874832i | ||||
\(173\) | −1535.44 | − | 1288.39i | −0.674783 | − | 0.566211i | 0.239693 | − | 0.970849i | \(-0.422953\pi\) |
−0.914477 | + | 0.404638i | \(0.867398\pi\) | |||||||
\(174\) | 31.8762 | + | 139.345i | 0.0138881 | + | 0.0607110i | ||||
\(175\) | 1033.96 | + | 5863.86i | 0.446627 | + | 2.53295i | ||||
\(176\) | 7.83762 | + | 44.4493i | 0.00335672 | + | 0.0190369i | ||||
\(177\) | −238.405 | − | 73.4106i | −0.101241 | − | 0.0311745i | ||||
\(178\) | −123.299 | − | 103.461i | −0.0519196 | − | 0.0435657i | ||||
\(179\) | 1440.88 | + | 2495.68i | 0.601657 | + | 1.04210i | 0.992570 | + | 0.121673i | \(0.0388259\pi\) |
−0.390913 | + | 0.920428i | \(0.627841\pi\) | |||||||
\(180\) | −315.882 | + | 4271.13i | −0.130803 | + | 1.76862i | ||||
\(181\) | −454.319 | + | 786.904i | −0.186571 | + | 0.323150i | −0.944105 | − | 0.329646i | \(-0.893071\pi\) |
0.757534 | + | 0.652796i | \(0.226404\pi\) | |||||||
\(182\) | 185.869 | − | 67.6508i | 0.0757007 | − | 0.0275528i | ||||
\(183\) | −2246.82 | − | 1700.17i | −0.907593 | − | 0.686777i | ||||
\(184\) | 429.459 | − | 360.359i | 0.172066 | − | 0.144380i | ||||
\(185\) | −2800.68 | − | 1019.37i | −1.11303 | − | 0.405109i | ||||
\(186\) | 290.029 | − | 14.6167i | 0.114333 | − | 0.00576210i | ||||
\(187\) | −0.168850 | + | 0.957594i | −6.60294e−5 | + | 0.000374472i | ||||
\(188\) | 167.379 | 0.0649329 | ||||||||
\(189\) | −2645.75 | + | 1445.83i | −1.01825 | + | 0.556448i | ||||
\(190\) | −416.447 | −0.159012 | ||||||||
\(191\) | −195.023 | + | 1106.03i | −0.0738816 | + | 0.419003i | 0.925325 | + | 0.379175i | \(0.123792\pi\) |
−0.999207 | + | 0.0398281i | \(0.987319\pi\) | |||||||
\(192\) | 1132.09 | − | 2210.88i | 0.425529 | − | 0.831024i | ||||
\(193\) | 3274.01 | + | 1191.64i | 1.22108 | + | 0.444437i | 0.870534 | − | 0.492108i | \(-0.163774\pi\) |
0.350547 | + | 0.936545i | \(0.385996\pi\) | |||||||
\(194\) | −67.8065 | + | 56.8964i | −0.0250939 | + | 0.0210563i | ||||
\(195\) | 397.442 | − | 3184.11i | 0.145956 | − | 1.16933i | ||||
\(196\) | 883.420 | − | 321.539i | 0.321946 | − | 0.117179i | ||||
\(197\) | −2109.35 | + | 3653.50i | −0.762867 | + | 1.32132i | 0.178500 | + | 0.983940i | \(0.442875\pi\) |
−0.941367 | + | 0.337384i | \(0.890458\pi\) | |||||||
\(198\) | −1.59998 | − | 5.66544i | −0.000574271 | − | 0.00203346i | ||||
\(199\) | 205.179 | + | 355.380i | 0.0730892 | + | 0.126594i | 0.900254 | − | 0.435366i | \(-0.143381\pi\) |
−0.827165 | + | 0.561960i | \(0.810048\pi\) | |||||||
\(200\) | 1009.23 | + | 846.841i | 0.356815 | + | 0.299404i | ||||
\(201\) | −350.240 | + | 325.293i | −0.122906 | + | 0.114151i | ||||
\(202\) | −88.7831 | − | 503.514i | −0.0309245 | − | 0.175382i | ||||
\(203\) | −343.512 | − | 1948.15i | −0.118768 | − | 0.673564i | ||||
\(204\) | 40.1412 | − | 37.2821i | 0.0137767 | − | 0.0127954i | ||||
\(205\) | −4875.64 | − | 4091.15i | −1.66112 | − | 1.39385i | ||||
\(206\) | 98.9482 | + | 171.383i | 0.0334663 | + | 0.0579653i | ||||
\(207\) | 2220.49 | − | 2281.01i | 0.745580 | − | 0.765901i | ||||
\(208\) | −952.633 | + | 1650.01i | −0.317563 | + | 0.550036i | ||||
\(209\) | −47.6441 | + | 17.3410i | −0.0157685 | + | 0.00573926i | ||||
\(210\) | −82.8831 | + | 664.019i | −0.0272356 | + | 0.218199i | ||||
\(211\) | 479.610 | − | 402.440i | 0.156482 | − | 0.131304i | −0.561185 | − | 0.827690i | \(-0.689654\pi\) |
0.717667 | + | 0.696386i | \(0.245210\pi\) | |||||||
\(212\) | 1016.41 | + | 369.943i | 0.329280 | + | 0.119848i | ||||
\(213\) | −2517.90 | + | 4917.27i | −0.809972 | + | 1.58181i | ||||
\(214\) | −45.5158 | + | 258.133i | −0.0145392 | + | 0.0824560i | ||||
\(215\) | −5775.93 | −1.83216 | ||||||||
\(216\) | −242.811 | + | 621.348i | −0.0764870 | + | 0.195728i | ||||
\(217\) | −4018.80 | −1.25721 | ||||||||
\(218\) | −57.4306 | + | 325.705i | −0.0178426 | + | 0.101191i | ||||
\(219\) | 3553.11 | − | 179.068i | 1.09633 | − | 0.0552525i | ||||
\(220\) | 108.748 | + | 39.5811i | 0.0333264 | + | 0.0121298i | ||||
\(221\) | −31.4431 | + | 26.3839i | −0.00957055 | + | 0.00803065i | ||||
\(222\) | −184.061 | − | 139.279i | −0.0556458 | − | 0.0421073i | ||||
\(223\) | 4262.62 | − | 1551.47i | 1.28003 | − | 0.465891i | 0.389585 | − | 0.920990i | \(-0.372618\pi\) |
0.890441 | + | 0.455099i | \(0.150396\pi\) | |||||||
\(224\) | 607.411 | − | 1052.07i | 0.181180 | − | 0.313813i | ||||
\(225\) | 6185.06 | + | 4208.06i | 1.83261 | + | 1.24683i | ||||
\(226\) | 99.9321 | + | 173.087i | 0.0294132 | + | 0.0509452i | ||||
\(227\) | 5004.32 | + | 4199.12i | 1.46321 | + | 1.22778i | 0.922173 | + | 0.386777i | \(0.126412\pi\) |
0.541035 | + | 0.841000i | \(0.318033\pi\) | |||||||
\(228\) | 2730.08 | + | 840.659i | 0.793001 | + | 0.244184i | ||||
\(229\) | −934.579 | − | 5300.26i | −0.269689 | − | 1.52948i | −0.755343 | − | 0.655330i | \(-0.772530\pi\) |
0.485654 | − | 0.874151i | \(-0.338582\pi\) | |||||||
\(230\) | −122.687 | − | 695.792i | −0.0351728 | − | 0.199475i | ||||
\(231\) | 18.1677 | + | 79.4191i | 0.00517466 | + | 0.0226208i | ||||
\(232\) | −335.296 | − | 281.347i | −0.0948847 | − | 0.0796178i | ||||
\(233\) | −1042.34 | − | 1805.39i | −0.293074 | − | 0.507619i | 0.681461 | − | 0.731854i | \(-0.261345\pi\) |
−0.974535 | + | 0.224235i | \(0.928012\pi\) | |||||||
\(234\) | 101.986 | − | 226.615i | 0.0284917 | − | 0.0633090i | ||||
\(235\) | 212.132 | − | 367.424i | 0.0588851 | − | 0.101992i | ||||
\(236\) | 356.865 | − | 129.888i | 0.0984319 | − | 0.0358263i | ||||
\(237\) | 3205.22 | − | 1352.96i | 0.878486 | − | 0.370818i | ||||
\(238\) | 6.55719 | − | 5.50213i | 0.00178588 | − | 0.00149853i | ||||
\(239\) | −4469.26 | − | 1626.68i | −1.20959 | − | 0.440256i | −0.343030 | − | 0.939324i | \(-0.611453\pi\) |
−0.866562 | + | 0.499069i | \(0.833675\pi\) | |||||||
\(240\) | −3499.75 | − | 5412.88i | −0.941284 | − | 1.45583i | ||||
\(241\) | 400.465 | − | 2271.15i | 0.107038 | − | 0.607043i | −0.883349 | − | 0.468717i | \(-0.844717\pi\) |
0.990387 | − | 0.138327i | \(-0.0441724\pi\) | |||||||
\(242\) | 397.617 | 0.105619 | ||||||||
\(243\) | −1017.04 | + | 3648.91i | −0.268489 | + | 0.963283i | ||||
\(244\) | 4289.52 | 1.12544 | ||||||||
\(245\) | 413.797 | − | 2346.76i | 0.107904 | − | 0.611954i | ||||
\(246\) | −267.630 | − | 413.929i | −0.0693638 | − | 0.107281i | ||||
\(247\) | −2011.18 | − | 732.010i | −0.518090 | − | 0.188569i | ||||
\(248\) | −681.166 | + | 571.567i | −0.174412 | + | 0.146349i | ||||
\(249\) | −2670.54 | + | 1127.27i | −0.679674 | + | 0.286898i | ||||
\(250\) | 856.311 | − | 311.672i | 0.216631 | − | 0.0788474i | ||||
\(251\) | 994.592 | − | 1722.68i | 0.250112 | − | 0.433207i | −0.713444 | − | 0.700712i | \(-0.752866\pi\) |
0.963556 | + | 0.267505i | \(0.0861992\pi\) | |||||||
\(252\) | 1883.77 | − | 4185.77i | 0.470898 | − | 1.04634i | ||||
\(253\) | −43.0092 | − | 74.4941i | −0.0106876 | − | 0.0185115i | ||||
\(254\) | −206.698 | − | 173.440i | −0.0510605 | − | 0.0428448i | ||||
\(255\) | −30.9662 | − | 135.367i | −0.00760461 | − | 0.0332431i | ||||
\(256\) | 633.179 | + | 3590.93i | 0.154585 | + | 0.876693i | ||||
\(257\) | 1088.91 | + | 6175.49i | 0.264296 | + | 1.49890i | 0.771033 | + | 0.636796i | \(0.219741\pi\) |
−0.506737 | + | 0.862101i | \(0.669148\pi\) | |||||||
\(258\) | −427.507 | − | 131.640i | −0.103161 | − | 0.0317657i | ||||
\(259\) | 2446.97 | + | 2053.25i | 0.587056 | + | 0.492598i | ||||
\(260\) | 2442.58 | + | 4230.67i | 0.582624 | + | 1.00913i | ||||
\(261\) | −2054.87 | − | 1398.05i | −0.487330 | − | 0.331559i | ||||
\(262\) | −286.046 | + | 495.447i | −0.0674504 | + | 0.116828i | ||||
\(263\) | −2301.62 | + | 837.722i | −0.539635 | + | 0.196411i | −0.597435 | − | 0.801917i | \(-0.703814\pi\) |
0.0578002 | + | 0.998328i | \(0.481591\pi\) | |||||||
\(264\) | 14.3746 | + | 10.8773i | 0.00335111 | + | 0.00253579i | ||||
\(265\) | 2100.26 | − | 1762.33i | 0.486860 | − | 0.408524i | ||||
\(266\) | 419.414 | + | 152.654i | 0.0966764 | + | 0.0351873i | ||||
\(267\) | 2794.98 | − | 140.860i | 0.640636 | − | 0.0322865i | ||||
\(268\) | 126.366 | − | 716.657i | 0.0288023 | − | 0.163346i | ||||
\(269\) | −4739.75 | −1.07430 | −0.537152 | − | 0.843485i | \(-0.680500\pi\) | ||||
−0.537152 | + | 0.843485i | \(0.680500\pi\) | |||||||
\(270\) | 525.147 | + | 656.538i | 0.118368 | + | 0.147984i | ||||
\(271\) | −4368.84 | −0.979292 | −0.489646 | − | 0.871921i | \(-0.662874\pi\) | ||||
−0.489646 | + | 0.871921i | \(0.662874\pi\) | |||||||
\(272\) | −14.3175 | + | 81.1988i | −0.00319165 | + | 0.0181007i | ||||
\(273\) | −1567.45 | + | 3061.11i | −0.347496 | + | 0.678633i | ||||
\(274\) | −741.880 | − | 270.022i | −0.163571 | − | 0.0595352i | ||||
\(275\) | 154.850 | − | 129.935i | 0.0339557 | − | 0.0284922i | ||||
\(276\) | −600.264 | + | 4809.03i | −0.130912 | + | 1.04880i | ||||
\(277\) | −7253.15 | + | 2639.93i | −1.57328 | + | 0.572628i | −0.973730 | − | 0.227707i | \(-0.926877\pi\) |
−0.599553 | + | 0.800335i | \(0.704655\pi\) | |||||||
\(278\) | 24.7732 | − | 42.9085i | 0.00534461 | − | 0.00925713i | ||||
\(279\) | −3521.94 | + | 3617.93i | −0.755745 | + | 0.776342i | ||||
\(280\) | −1024.51 | − | 1774.50i | −0.218664 | − | 0.378738i | ||||
\(281\) | −2877.77 | − | 2414.74i | −0.610937 | − | 0.512637i | 0.284003 | − | 0.958823i | \(-0.408337\pi\) |
−0.894940 | + | 0.446186i | \(0.852782\pi\) | |||||||
\(282\) | 24.0751 | − | 22.3603i | 0.00508386 | − | 0.00472176i | ||||
\(283\) | 404.252 | + | 2292.63i | 0.0849127 | + | 0.481564i | 0.997375 | + | 0.0724041i | \(0.0230671\pi\) |
−0.912463 | + | 0.409160i | \(0.865822\pi\) | |||||||
\(284\) | −1460.46 | − | 8282.69i | −0.305150 | − | 1.73059i | ||||
\(285\) | 5305.42 | − | 4927.53i | 1.10269 | − | 1.02415i | ||||
\(286\) | −5.14400 | − | 4.31633i | −0.00106354 | − | 0.000892413i | ||||
\(287\) | 3410.71 | + | 5907.52i | 0.701491 | + | 1.21502i | ||||
\(288\) | −414.809 | − | 1468.82i | −0.0848711 | − | 0.300524i | ||||
\(289\) | 2455.61 | − | 4253.24i | 0.499819 | − | 0.865712i | ||||
\(290\) | −518.347 | + | 188.663i | −0.104960 | + | 0.0382023i | ||||
\(291\) | 190.619 | − | 1527.15i | 0.0383997 | − | 0.307640i | ||||
\(292\) | −4149.02 | + | 3481.44i | −0.831517 | + | 0.697726i | ||||
\(293\) | 4551.16 | + | 1656.49i | 0.907446 | + | 0.330283i | 0.753233 | − | 0.657754i | \(-0.228493\pi\) |
0.154214 | + | 0.988038i | \(0.450716\pi\) | |||||||
\(294\) | 84.1126 | − | 164.265i | 0.0166855 | − | 0.0325855i | ||||
\(295\) | 167.157 | − | 947.992i | 0.0329906 | − | 0.187099i | ||||
\(296\) | 706.769 | 0.138784 | ||||||||
\(297\) | 87.4186 | + | 53.2446i | 0.0170793 | + | 0.0104026i | ||||
\(298\) | 411.131 | 0.0799201 | ||||||||
\(299\) | 630.526 | − | 3575.89i | 0.121954 | − | 0.691636i | ||||
\(300\) | −11374.5 | + | 573.244i | −2.18901 | + | 0.110321i | ||||
\(301\) | 5817.08 | + | 2117.24i | 1.11392 | + | 0.405435i | ||||
\(302\) | −85.7624 | + | 71.9632i | −0.0163413 | + | 0.0137120i | ||||
\(303\) | 7088.80 | + | 5364.11i | 1.34403 | + | 1.01703i | ||||
\(304\) | −4039.96 | + | 1470.43i | −0.762197 | + | 0.277417i | ||||
\(305\) | 5436.43 | − | 9416.18i | 1.02062 | − | 1.76777i | ||||
\(306\) | 0.793193 | − | 10.7250i | 0.000148182 | − | 0.00200362i | ||||
\(307\) | 1240.46 | + | 2148.54i | 0.230608 | + | 0.399425i | 0.957987 | − | 0.286811i | \(-0.0925951\pi\) |
−0.727379 | + | 0.686236i | \(0.759262\pi\) | |||||||
\(308\) | −95.0139 | − | 79.7261i | −0.0175777 | − | 0.0147494i | ||||
\(309\) | −3288.43 | − | 1012.59i | −0.605412 | − | 0.186421i | ||||
\(310\) | 194.594 | + | 1103.60i | 0.0356523 | + | 0.202194i | ||||
\(311\) | 280.294 | + | 1589.63i | 0.0511062 | + | 0.289838i | 0.999640 | − | 0.0268390i | \(-0.00854414\pi\) |
−0.948534 | + | 0.316677i | \(0.897433\pi\) | |||||||
\(312\) | 169.685 | + | 741.770i | 0.0307902 | + | 0.134598i | ||||
\(313\) | 7636.44 | + | 6407.73i | 1.37903 | + | 1.15715i | 0.969569 | + | 0.244819i | \(0.0787284\pi\) |
0.409463 | + | 0.912327i | \(0.365716\pi\) | |||||||
\(314\) | −78.9245 | − | 136.701i | −0.0141846 | − | 0.0245685i | ||||
\(315\) | −6800.97 | − | 9440.11i | −1.21648 | − | 1.68854i | ||||
\(316\) | −2648.29 | + | 4586.97i | −0.471449 | + | 0.816573i | ||||
\(317\) | −1915.29 | + | 697.110i | −0.339349 | + | 0.123513i | −0.506073 | − | 0.862491i | \(-0.668903\pi\) |
0.166724 | + | 0.986004i | \(0.446681\pi\) | |||||||
\(318\) | 195.617 | − | 82.5719i | 0.0344957 | − | 0.0145610i | ||||
\(319\) | −51.4461 | + | 43.1684i | −0.00902955 | + | 0.00757669i | ||||
\(320\) | 9007.06 | + | 3278.30i | 1.57347 | + | 0.572696i | ||||
\(321\) | −2474.45 | − | 3827.09i | −0.430250 | − | 0.665444i | ||||
\(322\) | −131.491 | + | 745.721i | −0.0227568 | + | 0.129060i | ||||
\(323\) | −92.6206 | −0.0159553 | ||||||||
\(324\) | −2117.36 | − | 5364.12i | −0.363060 | − | 0.919774i | ||||
\(325\) | 8532.96 | 1.45638 | ||||||||
\(326\) | 37.0652 | − | 210.207i | 0.00629709 | − | 0.0357126i | ||||
\(327\) | −3122.20 | − | 4828.93i | −0.528006 | − | 0.816637i | ||||
\(328\) | 1418.28 | + | 516.213i | 0.238755 | + | 0.0868997i | ||||
\(329\) | −348.328 | + | 292.282i | −0.0583706 | + | 0.0489788i | ||||
\(330\) | 20.9295 | − | 8.83456i | 0.00349131 | − | 0.00147372i | ||||
\(331\) | 1140.34 | − | 415.048i | 0.189361 | − | 0.0689218i | −0.245599 | − | 0.969371i | \(-0.578985\pi\) |
0.434960 | + | 0.900450i | \(0.356762\pi\) | |||||||
\(332\) | 2206.52 | − | 3821.80i | 0.364754 | − | 0.631773i | ||||
\(333\) | 3992.88 | − | 403.487i | 0.657082 | − | 0.0663993i | ||||
\(334\) | 550.038 | + | 952.694i | 0.0901100 | + | 0.156075i | ||||
\(335\) | −1413.02 | − | 1185.67i | −0.230453 | − | 0.193373i | ||||
\(336\) | 1540.52 | + | 6734.31i | 0.250126 | + | 1.09341i | ||||
\(337\) | −1476.83 | − | 8375.55i | −0.238719 | − | 1.35384i | −0.834638 | − | 0.550798i | \(-0.814323\pi\) |
0.595919 | − | 0.803044i | \(-0.296788\pi\) | |||||||
\(338\) | 64.7926 | + | 367.457i | 0.0104268 | + | 0.0591332i | ||||
\(339\) | −3321.13 | − | 1022.66i | −0.532092 | − | 0.163844i | ||||
\(340\) | 161.948 | + | 135.890i | 0.0258319 | + | 0.0216755i | ||||
\(341\) | 68.2171 | + | 118.155i | 0.0108333 | + | 0.0187639i | ||||
\(342\) | 504.987 | − | 243.797i | 0.0798437 | − | 0.0385468i | ||||
\(343\) | 2408.64 | − | 4171.89i | 0.379167 | − | 0.656737i | ||||
\(344\) | 1287.09 | − | 468.461i | 0.201730 | − | 0.0734236i | ||||
\(345\) | 9795.82 | + | 7412.52i | 1.52867 | + | 1.15674i | ||||
\(346\) | 458.874 | − | 385.041i | 0.0712984 | − | 0.0598264i | ||||
\(347\) | −6218.74 | − | 2263.44i | −0.962073 | − | 0.350166i | −0.187228 | − | 0.982317i | \(-0.559950\pi\) |
−0.774846 | + | 0.632151i | \(0.782172\pi\) | |||||||
\(348\) | 3778.94 | − | 190.449i | 0.582105 | − | 0.0293367i | ||||
\(349\) | −910.076 | + | 5161.30i | −0.139585 | + | 0.791628i | 0.831971 | + | 0.554819i | \(0.187213\pi\) |
−0.971556 | + | 0.236809i | \(0.923899\pi\) | |||||||
\(350\) | −1779.48 | −0.271763 | ||||||||
\(351\) | 1382.10 | + | 4093.75i | 0.210174 | + | 0.622530i | ||||
\(352\) | −41.2419 | −0.00624489 | ||||||||
\(353\) | −852.154 | + | 4832.81i | −0.128486 | + | 0.728681i | 0.850690 | + | 0.525668i | \(0.176184\pi\) |
−0.979176 | + | 0.203013i | \(0.934927\pi\) | |||||||
\(354\) | 33.9780 | − | 66.3563i | 0.00510144 | − | 0.00996270i | ||||
\(355\) | −20032.8 | − | 7291.33i | −2.99501 | − | 1.09010i | ||||
\(356\) | −3263.74 | + | 2738.60i | −0.485892 | + | 0.407712i | ||||
\(357\) | −18.4337 | + | 147.682i | −0.00273282 | + | 0.0218940i | ||||
\(358\) | −809.291 | + | 294.558i | −0.119476 | + | 0.0434856i | ||||
\(359\) | 4501.47 | − | 7796.77i | 0.661779 | − | 1.14623i | −0.318369 | − | 0.947967i | \(-0.603135\pi\) |
0.980148 | − | 0.198267i | \(-0.0635314\pi\) | |||||||
\(360\) | −2495.33 | − | 632.795i | −0.365321 | − | 0.0926423i | ||||
\(361\) | 1014.75 | + | 1757.61i | 0.147945 | + | 0.256248i | ||||
\(362\) | −208.020 | − | 174.549i | −0.0302025 | − | 0.0253429i | ||||
\(363\) | −5065.52 | + | 4704.72i | −0.732427 | + | 0.680258i | ||||
\(364\) | −909.170 | − | 5156.16i | −0.130916 | − | 0.742462i | ||||
\(365\) | 2383.95 | + | 13520.1i | 0.341868 | + | 1.93883i | ||||
\(366\) | 616.985 | − | 573.039i | 0.0881156 | − | 0.0818394i | ||||
\(367\) | −668.599 | − | 561.021i | −0.0950970 | − | 0.0797958i | 0.594000 | − | 0.804465i | \(-0.297548\pi\) |
−0.689097 | + | 0.724669i | \(0.741992\pi\) | |||||||
\(368\) | −3646.95 | − | 6316.70i | −0.516604 | − | 0.894785i | ||||
\(369\) | 8307.27 | + | 2106.65i | 1.17198 | + | 0.297203i | ||||
\(370\) | 445.357 | − | 771.381i | 0.0625757 | − | 0.108384i | ||||
\(371\) | −2761.22 | + | 1005.00i | −0.386403 | + | 0.140639i | ||||
\(372\) | 952.082 | − | 7627.62i | 0.132697 | − | 1.06310i | ||||
\(373\) | −4820.94 | + | 4045.25i | −0.669219 | + | 0.561541i | −0.912834 | − | 0.408331i | \(-0.866111\pi\) |
0.243615 | + | 0.969872i | \(0.421667\pi\) | |||||||
\(374\) | −0.273071 | − | 0.0993898i | −3.77545e−5 | − | 1.37415e-5i | ||||
\(375\) | −7221.36 | + | 14102.7i | −0.994425 | + | 1.94203i | ||||
\(376\) | −17.4706 | + | 99.0805i | −0.00239621 | + | 0.0135896i | ||||
\(377\) | −2834.91 | −0.387282 | ||||||||
\(378\) | −288.226 | − | 853.715i | −0.0392189 | − | 0.116165i | ||||
\(379\) | 2956.76 | 0.400734 | 0.200367 | − | 0.979721i | \(-0.435786\pi\) | ||||
0.200367 | + | 0.979721i | \(0.435786\pi\) | |||||||
\(380\) | −1914.19 | + | 10855.9i | −0.258410 | + | 1.46552i | ||||
\(381\) | 4685.46 | − | 236.136i | 0.630036 | − | 0.0317522i | ||||
\(382\) | −315.400 | − | 114.796i | −0.0422442 | − | 0.0153756i | ||||
\(383\) | 2545.77 | − | 2136.16i | 0.339642 | − | 0.284993i | −0.456973 | − | 0.889481i | \(-0.651066\pi\) |
0.796615 | + | 0.604487i | \(0.206622\pi\) | |||||||
\(384\) | 2465.77 | + | 1865.85i | 0.327684 | + | 0.247960i | ||||
\(385\) | −295.430 | + | 107.528i | −0.0391078 | + | 0.0142341i | ||||
\(386\) | −520.625 | + | 901.748i | −0.0686505 | + | 0.118906i | ||||
\(387\) | 7003.93 | − | 3381.34i | 0.919973 | − | 0.444143i | ||||
\(388\) | 1171.50 | + | 2029.09i | 0.153283 | + | 0.265494i | ||||
\(389\) | −7165.62 | − | 6012.67i | −0.933962 | − | 0.783687i | 0.0425622 | − | 0.999094i | \(-0.486448\pi\) |
−0.976524 | + | 0.215406i | \(0.930892\pi\) | |||||||
\(390\) | 916.505 | + | 282.214i | 0.118998 | + | 0.0366423i | ||||
\(391\) | −27.2864 | − | 154.749i | −0.00352924 | − | 0.0200153i | ||||
\(392\) | 98.1266 | + | 556.503i | 0.0126432 | + | 0.0717032i | ||||
\(393\) | −2218.13 | − | 9696.44i | −0.284707 | − | 1.24458i | ||||
\(394\) | −965.811 | − | 810.412i | −0.123495 | − | 0.103624i | ||||
\(395\) | 6712.75 | + | 11626.8i | 0.855076 | + | 1.48103i | ||||
\(396\) | −155.040 | + | 15.6671i | −0.0196744 | + | 0.00198813i | ||||
\(397\) | 2036.76 | − | 3527.77i | 0.257486 | − | 0.445979i | −0.708082 | − | 0.706130i | \(-0.750439\pi\) |
0.965568 | + | 0.260152i | \(0.0837725\pi\) | |||||||
\(398\) | −115.241 | + | 41.9444i | −0.0145139 | + | 0.00528262i | ||||
\(399\) | −7149.47 | + | 3017.87i | −0.897045 | + | 0.378652i | ||||
\(400\) | 13130.5 | − | 11017.8i | 1.64131 | − | 1.37722i | ||||
\(401\) | −3662.12 | − | 1332.90i | −0.456054 | − | 0.165990i | 0.103771 | − | 0.994601i | \(-0.466909\pi\) |
−0.559824 | + | 0.828611i | \(0.689131\pi\) | |||||||
\(402\) | −77.5627 | − | 119.962i | −0.00962307 | − | 0.0148835i | ||||
\(403\) | −1000.08 | + | 5671.74i | −0.123617 | + | 0.701066i | ||||
\(404\) | −13533.6 | −1.66664 | ||||||||
\(405\) | −14458.6 | − | 2150.40i | −1.77396 | − | 0.263838i | ||||
\(406\) | 591.197 | 0.0722675 | ||||||||
\(407\) | 18.8309 | − | 106.795i | 0.00229340 | − | 0.0130065i | ||||
\(408\) | 17.8794 | + | 27.6531i | 0.00216952 | + | 0.00335547i | ||||
\(409\) | 10586.9 | + | 3853.30i | 1.27992 | + | 0.465852i | 0.890405 | − | 0.455169i | \(-0.150421\pi\) |
0.389513 | + | 0.921021i | \(0.372643\pi\) | |||||||
\(410\) | 1457.11 | − | 1222.66i | 0.175516 | − | 0.147275i | ||||
\(411\) | 12646.3 | − | 5338.14i | 1.51775 | − | 0.640660i | ||||
\(412\) | 4922.41 | − | 1791.61i | 0.588616 | − | 0.214239i | ||||
\(413\) | −515.846 | + | 893.472i | −0.0614604 | + | 0.106452i | ||||
\(414\) | 556.101 | + | 771.898i | 0.0660167 | + | 0.0916346i | ||||
\(415\) | −5592.97 | − | 9687.31i | −0.661562 | − | 1.14586i | ||||
\(416\) | −1333.63 | − | 1119.05i | −0.157179 | − | 0.131889i | ||||
\(417\) | 192.103 | + | 839.767i | 0.0225595 | + | 0.0986176i | ||||
\(418\) | −2.63120 | − | 14.9223i | −0.000307886 | − | 0.00174611i | ||||
\(419\) | −1041.24 | − | 5905.18i | −0.121403 | − | 0.688513i | −0.983379 | − | 0.181563i | \(-0.941884\pi\) |
0.861976 | − | 0.506949i | \(-0.169227\pi\) | |||||||
\(420\) | 16928.6 | + | 5212.73i | 1.96674 | + | 0.605607i | ||||
\(421\) | −12007.1 | − | 10075.2i | −1.39000 | − | 1.16635i | −0.965338 | − | 0.261002i | \(-0.915947\pi\) |
−0.424666 | − | 0.905350i | \(-0.639608\pi\) | |||||||
\(422\) | 93.5544 | + | 162.041i | 0.0107918 | + | 0.0186920i | ||||
\(423\) | −42.1356 | + | 569.727i | −0.00484327 | + | 0.0654872i | ||||
\(424\) | −325.079 | + | 563.053i | −0.0372340 | + | 0.0644912i | ||||
\(425\) | 346.999 | − | 126.297i | 0.0396045 | − | 0.0144149i | ||||
\(426\) | −1316.55 | − | 996.240i | −0.149735 | − | 0.113305i | ||||
\(427\) | −8926.78 | + | 7490.46i | −1.01170 | + | 0.848920i | ||||
\(428\) | 6519.76 | + | 2373.00i | 0.736319 | + | 0.267998i | ||||
\(429\) | 116.605 | − | 5.87662i | 0.0131230 | − | 0.000661365i | ||||
\(430\) | 299.745 | − | 1699.94i | 0.0336163 | − | 0.190647i | ||||
\(431\) | 8999.40 | 1.00577 | 0.502884 | − | 0.864354i | \(-0.332272\pi\) | ||||
0.502884 | + | 0.864354i | \(0.332272\pi\) | |||||||
\(432\) | 7412.62 | + | 4514.86i | 0.825556 | + | 0.502827i | ||||
\(433\) | −1029.94 | −0.114309 | −0.0571547 | − | 0.998365i | \(-0.518203\pi\) | ||||
−0.0571547 | + | 0.998365i | \(0.518203\pi\) | |||||||
\(434\) | 208.558 | − | 1182.79i | 0.0230671 | − | 0.130820i | ||||
\(435\) | 4371.28 | − | 8536.75i | 0.481808 | − | 0.940933i | ||||
\(436\) | 8226.47 | + | 2994.19i | 0.903615 | + | 0.328889i | ||||
\(437\) | 6276.58 | − | 5266.68i | 0.687070 | − | 0.576520i | ||||
\(438\) | −131.688 | + | 1055.02i | −0.0143660 | + | 0.115094i | ||||
\(439\) | 9405.91 | − | 3423.47i | 1.02260 | − | 0.372194i | 0.224338 | − | 0.974511i | \(-0.427978\pi\) |
0.798257 | + | 0.602317i | \(0.205756\pi\) | |||||||
\(440\) | −34.7809 | + | 60.2423i | −0.00376845 | + | 0.00652714i | ||||
\(441\) | 872.066 | + | 3087.94i | 0.0941655 | + | 0.333434i | ||||
\(442\) | −6.13341 | − | 10.6234i | −0.000660037 | − | 0.00114322i | ||||
\(443\) | 864.666 | + | 725.541i | 0.0927348 | + | 0.0778138i | 0.687976 | − | 0.725733i | \(-0.258499\pi\) |
−0.595242 | + | 0.803547i | \(0.702944\pi\) | |||||||
\(444\) | −4476.75 | + | 4157.88i | −0.478507 | + | 0.444424i | ||||
\(445\) | 1875.28 | + | 10635.3i | 0.199768 | + | 1.13294i | ||||
\(446\) | 235.408 | + | 1335.06i | 0.0249930 | + | 0.141742i | ||||
\(447\) | −5237.69 | + | 4864.63i | −0.554215 | + | 0.514741i | ||||
\(448\) | −7869.52 | − | 6603.31i | −0.829910 | − | 0.696377i | ||||
\(449\) | 2633.36 | + | 4561.12i | 0.276784 | + | 0.479405i | 0.970584 | − | 0.240764i | \(-0.0773979\pi\) |
−0.693799 | + | 0.720168i | \(0.744065\pi\) | |||||||
\(450\) | −1559.47 | + | 1601.97i | −0.163365 | + | 0.167817i | ||||
\(451\) | 115.790 | − | 200.554i | 0.0120894 | − | 0.0209395i | ||||
\(452\) | 4971.36 | − | 1809.43i | 0.517329 | − | 0.188293i | ||||
\(453\) | 241.097 | − | 1931.56i | 0.0250061 | − | 0.200337i | ||||
\(454\) | −1495.56 | + | 1254.93i | −0.154604 | + | 0.129728i | ||||
\(455\) | −12470.9 | − | 4539.02i | −1.28493 | − | 0.467676i | ||||
\(456\) | −782.588 | + | 1528.33i | −0.0803685 | + | 0.156953i | ||||
\(457\) | −1736.03 | + | 9845.54i | −0.177699 | + | 1.00778i | 0.757284 | + | 0.653085i | \(0.226526\pi\) |
−0.934983 | + | 0.354693i | \(0.884585\pi\) | |||||||
\(458\) | 1608.44 | 0.164100 | ||||||||
\(459\) | 116.796 | + | 146.018i | 0.0118771 | + | 0.0148487i | ||||
\(460\) | −18701.7 | −1.89559 | ||||||||
\(461\) | 2367.89 | − | 13429.0i | 0.239227 | − | 1.35672i | −0.594299 | − | 0.804244i | \(-0.702570\pi\) |
0.833526 | − | 0.552480i | \(-0.186318\pi\) | |||||||
\(462\) | −24.3170 | + | 1.22552i | −0.00244877 | + | 0.000123412i | ||||
\(463\) | −3631.88 | − | 1321.90i | −0.364552 | − | 0.132686i | 0.153248 | − | 0.988188i | \(-0.451027\pi\) |
−0.517800 | + | 0.855502i | \(0.673249\pi\) | |||||||
\(464\) | −4362.35 | + | 3660.45i | −0.436459 | + | 0.366233i | ||||
\(465\) | −15537.2 | − | 11757.0i | −1.54951 | − | 1.17251i | ||||
\(466\) | 585.446 | − | 213.085i | 0.0581980 | − | 0.0211823i | ||||
\(467\) | −6854.86 | + | 11873.0i | −0.679240 | + | 1.17648i | 0.295970 | + | 0.955197i | \(0.404357\pi\) |
−0.975210 | + | 0.221281i | \(0.928976\pi\) | |||||||
\(468\) | −5438.60 | − | 3700.20i | −0.537178 | − | 0.365474i | ||||
\(469\) | 988.467 | + | 1712.07i | 0.0973202 | + | 0.168563i | ||||
\(470\) | 97.1295 | + | 81.5013i | 0.00953245 | + | 0.00799867i | ||||
\(471\) | 2622.97 | + | 807.675i | 0.256603 | + | 0.0790142i | ||||
\(472\) | 39.6390 | + | 224.804i | 0.00386554 | + | 0.0219226i | ||||
\(473\) | −36.4935 | − | 206.965i | −0.00354751 | − | 0.0201189i | ||||
\(474\) | 231.858 | + | 1013.55i | 0.0224675 | + | 0.0982153i | ||||
\(475\) | 14749.9 | + | 12376.7i | 1.42479 | + | 1.19554i | ||||
\(476\) | −113.289 | − | 196.222i | −0.0109088 | − | 0.0188946i | ||||
\(477\) | −1515.08 | + | 3366.54i | −0.145432 | + | 0.323152i | ||||
\(478\) | 710.690 | − | 1230.95i | 0.0680046 | − | 0.117787i | ||||
\(479\) | 6613.84 | − | 2407.24i | 0.630885 | − | 0.229623i | −0.00673130 | − | 0.999977i | \(-0.502143\pi\) |
0.637617 | + | 0.770354i | \(0.279920\pi\) | |||||||
\(480\) | 5426.16 | − | 2290.44i | 0.515977 | − | 0.217799i | ||||
\(481\) | 3506.69 | − | 2942.46i | 0.332414 | − | 0.278929i | ||||
\(482\) | 647.649 | + | 235.725i | 0.0612025 | + | 0.0222759i | ||||
\(483\) | −7148.45 | − | 11056.1i | −0.673428 | − | 1.04155i | ||||
\(484\) | 1827.63 | − | 10365.0i | 0.171641 | − | 0.973424i | ||||
\(485\) | 5938.91 | 0.556024 | ||||||||
\(486\) | −1021.15 | − | 488.691i | −0.0953090 | − | 0.0456120i | ||||
\(487\) | 9484.84 | 0.882544 | 0.441272 | − | 0.897373i | \(-0.354527\pi\) | ||||
0.441272 | + | 0.897373i | \(0.354527\pi\) | |||||||
\(488\) | −447.728 | + | 2539.19i | −0.0415321 | + | 0.235540i | ||||
\(489\) | 2015.04 | + | 3116.55i | 0.186346 | + | 0.288211i | ||||
\(490\) | 669.210 | + | 243.573i | 0.0616976 | + | 0.0224561i | ||||
\(491\) | −10315.0 | + | 8655.29i | −0.948082 | + | 0.795535i | −0.978974 | − | 0.203987i | \(-0.934610\pi\) |
0.0308914 | + | 0.999523i | \(0.490165\pi\) | |||||||
\(492\) | −12020.4 | + | 5073.94i | −1.10147 | + | 0.464941i | ||||
\(493\) | −115.284 | + | 41.9599i | −0.0105317 | + | 0.00383322i | ||||
\(494\) | 319.812 | − | 553.931i | 0.0291276 | − | 0.0504505i | ||||
\(495\) | −162.103 | + | 360.194i | −0.0147191 | + | 0.0327061i | ||||
\(496\) | 5784.44 | + | 10018.9i | 0.523647 | + | 0.906984i | ||||
\(497\) | 17502.7 | + | 14686.5i | 1.57969 | + | 1.32552i | ||||
\(498\) | −193.181 | − | 844.480i | −0.0173828 | − | 0.0759880i | ||||
\(499\) | 2059.98 | + | 11682.7i | 0.184804 | + | 1.04808i | 0.926206 | + | 0.377017i | \(0.123050\pi\) |
−0.741402 | + | 0.671061i | \(0.765839\pi\) | |||||||
\(500\) | −4188.61 | − | 23754.8i | −0.374641 | − | 2.12469i | ||||
\(501\) | −18279.9 | − | 5628.83i | −1.63011 | − | 0.501951i | ||||
\(502\) | 455.396 | + | 382.123i | 0.0404887 | + | 0.0339740i | ||||
\(503\) | −7063.42 | − | 12234.2i | −0.626128 | − | 1.08449i | −0.988322 | − | 0.152383i | \(-0.951305\pi\) |
0.362194 | − | 0.932103i | \(-0.382028\pi\) | |||||||
\(504\) | 2281.15 | + | 1552.00i | 0.201608 | + | 0.137166i | ||||
\(505\) | −17152.2 | + | 29708.4i | −1.51141 | + | 2.61784i | ||||
\(506\) | 24.1567 | − | 8.79231i | 0.00212232 | − | 0.000772462i | ||||
\(507\) | −5173.30 | − | 3914.65i | −0.453165 | − | 0.342911i | ||||
\(508\) | −5471.29 | + | 4590.96i | −0.477853 | + | 0.400966i | ||||
\(509\) | 11523.9 | + | 4194.36i | 1.00351 | + | 0.365249i | 0.790939 | − | 0.611895i | \(-0.209593\pi\) |
0.212576 | + | 0.977145i | \(0.431815\pi\) | |||||||
\(510\) | 41.4474 | − | 2.08885i | 0.00359867 | − | 0.000181364i | ||||
\(511\) | 2555.02 | − | 14490.2i | 0.221189 | − | 1.25442i | ||||
\(512\) | −5850.41 | −0.504988 | ||||||||
\(513\) | −3548.71 | + | 9081.05i | −0.305418 | + | 0.781556i | ||||
\(514\) | −1874.04 | −0.160818 | ||||||||
\(515\) | 2305.67 | − | 13076.1i | 0.197282 | − | 1.11884i | ||||
\(516\) | −5396.60 | + | 10539.1i | −0.460411 | + | 0.899146i | ||||
\(517\) | 14.5060 | + | 5.27974i | 0.00123399 | + | 0.000449134i | ||||
\(518\) | −731.289 | + | 613.624i | −0.0620290 | + | 0.0520485i | ||||
\(519\) | −1290.00 | + | 10334.9i | −0.109103 | + | 0.874084i | ||||
\(520\) | −2759.30 | + | 1004.30i | −0.232699 | + | 0.0846954i | ||||
\(521\) | 5683.84 | − | 9844.69i | 0.477953 | − | 0.827839i | −0.521728 | − | 0.853112i | \(-0.674712\pi\) |
0.999681 | + | 0.0252735i | \(0.00804566\pi\) | |||||||
\(522\) | 518.104 | − | 532.224i | 0.0434421 | − | 0.0446261i | ||||
\(523\) | −1568.15 | − | 2716.12i | −0.131110 | − | 0.227089i | 0.792995 | − | 0.609229i | \(-0.208521\pi\) |
−0.924105 | + | 0.382139i | \(0.875187\pi\) | |||||||
\(524\) | 11600.4 | + | 9733.93i | 0.967114 | + | 0.811505i | ||||
\(525\) | 22670.0 | − | 21055.3i | 1.88457 | − | 1.75034i | ||||
\(526\) | −127.110 | − | 720.875i | −0.0105366 | − | 0.0597559i | ||||
\(527\) | 43.2790 | + | 245.448i | 0.00357735 | + | 0.0202882i | ||||
\(528\) | 171.844 | − | 159.604i | 0.0141639 | − | 0.0131551i | ||||
\(529\) | 1328.10 | + | 1114.41i | 0.109156 | + | 0.0915929i | ||||
\(530\) | 409.684 | + | 709.593i | 0.0335765 | + | 0.0581562i | ||||
\(531\) | 352.278 | + | 1247.40i | 0.0287902 | + | 0.101944i | ||||
\(532\) | 5907.19 | − | 10231.6i | 0.481408 | − | 0.833824i | ||||
\(533\) | 9186.05 | − | 3343.45i | 0.746514 | − | 0.271709i | ||||
\(534\) | −103.590 | + | 829.912i | −0.00839470 | + | 0.0672543i | ||||
\(535\) | 13472.1 | − | 11304.4i | 1.08869 | − | 0.913519i | ||||
\(536\) | 411.037 | + | 149.605i | 0.0331233 | + | 0.0120559i | ||||
\(537\) | 6824.83 | − | 13328.4i | 0.548442 | − | 1.07106i | ||||
\(538\) | 245.972 | − | 1394.98i | 0.0197112 | − | 0.111788i | ||||
\(539\) | 86.7042 | 0.00692878 | ||||||||
\(540\) | 19528.4 | − | 10671.7i | 1.55624 | − | 0.850440i | ||||
\(541\) | −8742.14 | −0.694739 | −0.347370 | − | 0.937728i | \(-0.612925\pi\) | ||||
−0.347370 | + | 0.937728i | \(0.612925\pi\) | |||||||
\(542\) | 226.724 | − | 1285.81i | 0.0179679 | − | 0.101901i | ||||
\(543\) | 4715.44 | − | 237.646i | 0.372668 | − | 0.0187815i | ||||
\(544\) | −70.7961 | − | 25.7677i | −0.00557970 | − | 0.00203084i | ||||
\(545\) | 16998.7 | − | 14263.6i | 1.33605 | − | 1.12108i | ||||
\(546\) | −819.585 | − | 620.182i | −0.0642399 | − | 0.0486105i | ||||
\(547\) | −11271.8 | + | 4102.58i | −0.881070 | + | 0.320683i | −0.742642 | − | 0.669689i | \(-0.766427\pi\) |
−0.138428 | + | 0.990372i | \(0.544205\pi\) | |||||||
\(548\) | −10448.9 | + | 18098.1i | −0.814518 | + | 1.41079i | ||||
\(549\) | −1079.83 | + | 14600.7i | −0.0839455 | + | 1.13505i | ||||
\(550\) | 30.2057 | + | 52.3177i | 0.00234177 | + | 0.00405607i | ||||
\(551\) | −4900.38 | − | 4111.91i | −0.378881 | − | 0.317919i | ||||
\(552\) | −2784.06 | − | 857.280i | −0.214669 | − | 0.0661019i | ||||
\(553\) | −2498.60 | − | 14170.3i | −0.192136 | − | 1.08966i | ||||
\(554\) | −400.563 | − | 2271.71i | −0.0307190 | − | 0.174216i | ||||
\(555\) | 3453.50 | + | 15096.8i | 0.264131 | + | 1.15463i | ||||
\(556\) | −1004.66 | − | 843.013i | −0.0766317 | − | 0.0643017i | ||||
\(557\) | −3246.34 | − | 5622.82i | −0.246951 | − | 0.427732i | 0.715727 | − | 0.698380i | \(-0.246095\pi\) |
−0.962678 | + | 0.270648i | \(0.912762\pi\) | |||||||
\(558\) | −882.035 | − | 1224.31i | −0.0669167 | − | 0.0928839i | ||||
\(559\) | 4435.65 | − | 7682.77i | 0.335613 | − | 0.581299i | ||||
\(560\) | −25050.9 | + | 9117.77i | −1.89034 | + | 0.688029i | ||||
\(561\) | 4.65486 | − | 1.96486i | 0.000350318 | − | 0.000147873i | ||||
\(562\) | 860.035 | − | 721.655i | 0.0645523 | − | 0.0541658i | ||||
\(563\) | −13930.6 | − | 5070.33i | −1.04282 | − | 0.379554i | −0.236869 | − | 0.971542i | \(-0.576121\pi\) |
−0.805947 | + | 0.591988i | \(0.798343\pi\) | |||||||
\(564\) | −472.225 | − | 730.364i | −0.0352558 | − | 0.0545281i | ||||
\(565\) | 2328.60 | − | 13206.1i | 0.173389 | − | 0.983339i | ||||
\(566\) | −695.733 | −0.0516675 | ||||||||
\(567\) | 13773.3 | + | 7465.71i | 1.02015 | + | 0.552963i | ||||
\(568\) | 5055.39 | 0.373450 | ||||||||
\(569\) | −4263.28 | + | 24178.3i | −0.314106 | + | 1.78138i | 0.263086 | + | 0.964772i | \(0.415260\pi\) |
−0.577191 | + | 0.816609i | \(0.695851\pi\) | |||||||
\(570\) | 1174.92 | + | 1817.18i | 0.0863366 | + | 0.133532i | ||||
\(571\) | 17820.6 | + | 6486.18i | 1.30608 | + | 0.475374i | 0.898972 | − | 0.438007i | \(-0.144316\pi\) |
0.407107 | + | 0.913381i | \(0.366538\pi\) | |||||||
\(572\) | −136.162 | + | 114.253i | −0.00995317 | + | 0.00835170i | ||||
\(573\) | 5376.41 | − | 2269.44i | 0.391977 | − | 0.165458i | ||||
\(574\) | −1915.67 | + | 697.247i | −0.139301 | + | 0.0507013i | ||||
\(575\) | −16333.3 | + | 28290.1i | −1.18460 | + | 2.05179i | ||||
\(576\) | −12841.2 | + | 1297.62i | −0.928906 | + | 0.0938675i | ||||
\(577\) | −6169.28 | − | 10685.5i | −0.445114 | − | 0.770960i | 0.552946 | − | 0.833217i | \(-0.313503\pi\) |
−0.998060 | + | 0.0622571i | \(0.980170\pi\) | |||||||
\(578\) | 1124.36 | + | 943.447i | 0.0809118 | + | 0.0678931i | ||||
\(579\) | −4037.16 | − | 17648.2i | −0.289773 | − | 1.26673i | ||||
\(580\) | 2535.47 | + | 14379.4i | 0.181517 | + | 1.02943i | ||||
\(581\) | 2081.80 | + | 11806.5i | 0.148654 | + | 0.843057i | ||||
\(582\) | 439.570 | + | 135.354i | 0.0313072 | + | 0.00964024i | ||||
\(583\) | 76.4181 | + | 64.1224i | 0.00542867 | + | 0.00455519i | ||||
\(584\) | −1627.78 | − | 2819.40i | −0.115339 | − | 0.199774i | ||||
\(585\) | −15015.3 | + | 7249.04i | −1.06120 | + | 0.512327i | ||||
\(586\) | −723.714 | + | 1253.51i | −0.0510176 | + | 0.0883651i | ||||
\(587\) | 7668.07 | − | 2790.95i | 0.539174 | − | 0.196243i | −0.0580560 | − | 0.998313i | \(-0.518490\pi\) |
0.597230 | + | 0.802070i | \(0.296268\pi\) | |||||||
\(588\) | −3895.42 | − | 2947.67i | −0.273205 | − | 0.206735i | ||||
\(589\) | −9955.31 | + | 8353.50i | −0.696437 | + | 0.584380i | ||||
\(590\) | 270.333 | + | 98.3932i | 0.0188635 | + | 0.00686574i | ||||
\(591\) | 21893.2 | − | 1103.36i | 1.52380 | − | 0.0767957i | ||||
\(592\) | 1596.76 | − | 9055.68i | 0.110856 | − | 0.628693i | ||||
\(593\) | 14782.8 | 1.02371 | 0.511853 | − | 0.859073i | \(-0.328959\pi\) | ||||
0.511853 | + | 0.859073i | \(0.328959\pi\) | |||||||
\(594\) | −20.2073 | + | 22.9654i | −0.00139582 | + | 0.00158633i | ||||
\(595\) | −574.319 | −0.0395710 | ||||||||
\(596\) | 1889.75 | − | 10717.3i | 0.129878 | − | 0.736574i | ||||
\(597\) | 971.843 | − | 1897.93i | 0.0666246 | − | 0.130113i | ||||
\(598\) | 1019.72 | + | 371.146i | 0.0697312 | + | 0.0253801i | ||||
\(599\) | −6243.55 | + | 5238.96i | −0.425884 | + | 0.357359i | −0.830396 | − | 0.557174i | \(-0.811886\pi\) |
0.404512 | + | 0.914533i | \(0.367441\pi\) | |||||||
\(600\) | 847.899 | − | 6792.96i | 0.0576922 | − | 0.462203i | ||||
\(601\) | −9208.27 | + | 3351.54i | −0.624980 | + | 0.227474i | −0.635045 | − | 0.772475i | \(-0.719018\pi\) |
0.0100647 | + | 0.999949i | \(0.496796\pi\) | |||||||
\(602\) | −925.016 | + | 1602.17i | −0.0626259 | + | 0.108471i | ||||
\(603\) | 2407.55 | + | 610.535i | 0.162592 | + | 0.0412320i | ||||
\(604\) | 1481.72 | + | 2566.42i | 0.0998186 | + | 0.172891i | ||||
\(605\) | −20436.6 | − | 17148.3i | −1.37333 | − | 1.15236i | ||||
\(606\) | −1946.61 | + | 1807.96i | −0.130488 | + | 0.121194i | ||||
\(607\) | −1060.08 | − | 6012.04i | −0.0708855 | − | 0.402012i | −0.999519 | − | 0.0310132i | \(-0.990127\pi\) |
0.928633 | − | 0.370998i | \(-0.120984\pi\) | |||||||
\(608\) | −682.161 | − | 3868.73i | −0.0455021 | − | 0.258055i | ||||
\(609\) | −7531.67 | + | 6995.22i | −0.501147 | + | 0.465453i | ||||
\(610\) | 2489.19 | + | 2088.68i | 0.165220 | + | 0.138636i | ||||
\(611\) | 325.816 | + | 564.330i | 0.0215730 | + | 0.0373655i | ||||
\(612\) | −275.931 | − | 69.9739i | −0.0182253 | − | 0.00462177i | ||||
\(613\) | 6792.35 | − | 11764.7i | 0.447537 | − | 0.775158i | −0.550688 | − | 0.834711i | \(-0.685634\pi\) |
0.998225 | + | 0.0595537i | \(0.0189678\pi\) | |||||||
\(614\) | −696.720 | + | 253.585i | −0.0457937 | + | 0.0166675i | ||||
\(615\) | −4096.26 | + | 32817.3i | −0.268581 | + | 2.15174i | ||||
\(616\) | 57.1113 | − | 47.9221i | 0.00373552 | − | 0.00313447i | ||||
\(617\) | −15876.2 | − | 5778.46i | −1.03590 | − | 0.377037i | −0.232576 | − | 0.972578i | \(-0.574715\pi\) |
−0.803325 | + | 0.595541i | \(0.796938\pi\) | |||||||
\(618\) | 468.675 | − | 915.284i | 0.0305062 | − | 0.0595763i | ||||
\(619\) | −2305.23 | + | 13073.6i | −0.149685 | + | 0.848907i | 0.813800 | + | 0.581145i | \(0.197395\pi\) |
−0.963485 | + | 0.267762i | \(0.913716\pi\) | |||||||
\(620\) | 29662.9 | 1.92144 | ||||||||
\(621\) | −16217.9 | − | 3253.80i | −1.04799 | − | 0.210258i | ||||
\(622\) | −482.396 | −0.0310970 | ||||||||
\(623\) | 2009.85 | − | 11398.4i | 0.129250 | − | 0.733015i | ||||
\(624\) | 9887.50 | − | 498.306i | 0.634322 | − | 0.0319682i | ||||
\(625\) | −24909.3 | − | 9066.24i | −1.59419 | − | 0.580240i | ||||
\(626\) | −2282.19 | + | 1914.98i | −0.145710 | + | 0.122265i | ||||
\(627\) | 210.086 | + | 158.972i | 0.0133812 | + | 0.0101256i | ||||
\(628\) | −3926.28 | + | 1429.05i | −0.249484 | + | 0.0908046i | ||||
\(629\) | 99.0503 | − | 171.560i | 0.00627884 | − | 0.0108753i | ||||
\(630\) | 3131.30 | − | 1511.73i | 0.198022 | − | 0.0956009i | ||||
\(631\) | −8328.78 | − | 14425.9i | −0.525457 | − | 0.910119i | −0.999560 | − | 0.0296493i | \(-0.990561\pi\) |
0.474103 | − | 0.880469i | \(-0.342772\pi\) | |||||||
\(632\) | −2438.84 | − | 2046.43i | −0.153500 | − | 0.128802i | ||||
\(633\) | −3109.17 | − | 957.390i | −0.195227 | − | 0.0601151i | ||||
\(634\) | −105.774 | − | 599.876i | −0.00662592 | − | 0.0375774i | ||||
\(635\) | 3143.70 | + | 17828.8i | 0.196463 | + | 1.11420i | ||||
\(636\) | −1253.33 | − | 5478.85i | −0.0781410 | − | 0.341589i | ||||
\(637\) | 2803.73 | + | 2352.61i | 0.174392 | + | 0.146332i | ||||
\(638\) | −10.0353 | − | 17.3816i | −0.000622726 | − | 0.00107859i | ||||
\(639\) | 28560.3 | − | 2886.07i | 1.76812 | − | 0.178672i | ||||
\(640\) | −5966.22 | + | 10333.8i | −0.368493 | + | 0.638248i | ||||
\(641\) | −15060.7 | + | 5481.65i | −0.928022 | + | 0.337772i | −0.761425 | − | 0.648253i | \(-0.775500\pi\) |
−0.166597 | + | 0.986025i | \(0.553278\pi\) | |||||||
\(642\) | 1254.78 | − | 529.657i | 0.0771375 | − | 0.0325606i | ||||
\(643\) | 3341.80 | − | 2804.10i | 0.204957 | − | 0.171980i | −0.534531 | − | 0.845149i | \(-0.679512\pi\) |
0.739489 | + | 0.673169i | \(0.235067\pi\) | |||||||
\(644\) | 18835.0 | + | 6855.37i | 1.15249 | + | 0.419471i | ||||
\(645\) | 16295.5 | + | 25203.4i | 0.994785 | + | 1.53858i | ||||
\(646\) | 4.80660 | − | 27.2596i | 0.000292745 | − | 0.00166024i | ||||
\(647\) | −10839.2 | −0.658628 | −0.329314 | − | 0.944220i | \(-0.606817\pi\) | ||||
−0.329314 | + | 0.944220i | \(0.606817\pi\) | |||||||
\(648\) | 3396.31 | − | 693.486i | 0.205894 | − | 0.0420412i | ||||
\(649\) | 35.0249 | 0.00211841 | ||||||||
\(650\) | −442.823 | + | 2511.37i | −0.0267215 | + | 0.151545i | ||||
\(651\) | 11338.2 | + | 17536.1i | 0.682609 | + | 1.05575i | ||||
\(652\) | −5309.29 | − | 1932.42i | −0.318908 | − | 0.116073i | ||||
\(653\) | −11232.4 | + | 9425.09i | −0.673135 | + | 0.564827i | −0.913992 | − | 0.405733i | \(-0.867016\pi\) |
0.240856 | + | 0.970561i | \(0.422572\pi\) | |||||||
\(654\) | 1583.25 | − | 668.307i | 0.0946637 | − | 0.0399585i | ||||
\(655\) | 36069.6 | − | 13128.3i | 2.15169 | − | 0.783151i | ||||
\(656\) | 9818.37 | − | 17005.9i | 0.584364 | − | 1.01215i | ||||
\(657\) | −10805.7 | − | 14998.9i | −0.641660 | − | 0.890658i | ||||
\(658\) | −67.9460 | − | 117.686i | −0.00402555 | − | 0.00697246i | ||||
\(659\) | 10953.7 | + | 9191.24i | 0.647489 | + | 0.543308i | 0.906308 | − | 0.422618i | \(-0.138889\pi\) |
−0.258819 | + | 0.965926i | \(0.583333\pi\) | |||||||
\(660\) | −134.096 | − | 586.195i | −0.00790863 | − | 0.0345721i | ||||
\(661\) | −313.393 | − | 1777.34i | −0.0184411 | − | 0.104585i | 0.974198 | − | 0.225696i | \(-0.0724654\pi\) |
−0.992639 | + | 0.121111i | \(0.961354\pi\) | |||||||
\(662\) | 62.9763 | + | 357.156i | 0.00369735 | + | 0.0209687i | ||||
\(663\) | 203.837 | + | 62.7663i | 0.0119402 | + | 0.00367668i | ||||
\(664\) | 2032.01 | + | 1705.06i | 0.118761 | + | 0.0996524i | ||||
\(665\) | −14973.3 | − | 25934.5i | −0.873140 | − | 1.51232i | ||||
\(666\) | −88.4607 | + | 1196.10i | −0.00514682 | + | 0.0695916i | ||||
\(667\) | 5426.43 | − | 9398.85i | 0.315011 | − | 0.545614i | ||||
\(668\) | 27362.9 | − | 9959.29i | 1.58489 | − | 0.576851i | ||||
\(669\) | −18795.9 | − | 14222.9i | −1.08624 | − | 0.821957i | ||||
\(670\) | 422.289 | − | 354.342i | 0.0243499 | − | 0.0204320i | ||||
\(671\) | 371.752 | + | 135.307i | 0.0213880 | + | 0.00778458i | ||||
\(672\) | −6304.40 | + | 317.726i | −0.361901 | + | 0.0182389i | ||||
\(673\) | −75.6114 | + | 428.813i | −0.00433076 | + | 0.0245610i | −0.986897 | − | 0.161354i | \(-0.948414\pi\) |
0.982566 | + | 0.185915i | \(0.0595250\pi\) | |||||||
\(674\) | 2541.69 | 0.145255 | ||||||||
\(675\) | 912.159 | − | 38860.8i | 0.0520134 | − | 2.21593i | ||||
\(676\) | 9876.64 | 0.561939 | ||||||||
\(677\) | −4269.07 | + | 24211.1i | −0.242354 | + | 1.37446i | 0.584205 | + | 0.811606i | \(0.301406\pi\) |
−0.826559 | + | 0.562851i | \(0.809705\pi\) | |||||||
\(678\) | 473.335 | − | 924.385i | 0.0268117 | − | 0.0523611i | ||||
\(679\) | −5981.21 | − | 2176.98i | −0.338053 | − | 0.123041i | ||||
\(680\) | −97.3441 | + | 81.6814i | −0.00548967 | + | 0.00460638i | ||||
\(681\) | 4204.37 | − | 33683.4i | 0.236581 | − | 1.89537i | ||||
\(682\) | −38.3150 | + | 13.9455i | −0.00215126 | + | 0.000782994i | ||||
\(683\) | −953.659 | + | 1651.79i | −0.0534271 | + | 0.0925385i | −0.891502 | − | 0.453017i | \(-0.850348\pi\) |
0.838075 | + | 0.545555i | \(0.183681\pi\) | |||||||
\(684\) | −4034.10 | − | 14284.5i | −0.225508 | − | 0.798512i | ||||
\(685\) | 26485.4 | + | 45874.1i | 1.47731 | + | 2.55877i | ||||
\(686\) | 1102.85 | + | 925.400i | 0.0613804 | + | 0.0515043i | ||||
\(687\) | −20491.1 | + | 19031.6i | −1.13797 | + | 1.05692i | ||||
\(688\) | −3094.45 | − | 17549.5i | −0.171475 | − | 0.972484i | ||||
\(689\) | 731.230 | + | 4147.01i | 0.0404320 | + | 0.229301i | ||||
\(690\) | −2689.97 | + | 2498.38i | −0.148414 | + | 0.137843i | ||||
\(691\) | −9024.11 | − | 7572.13i | −0.496807 | − | 0.416870i | 0.359652 | − | 0.933087i | \(-0.382896\pi\) |
−0.856458 | + | 0.516216i | \(0.827340\pi\) | |||||||
\(692\) | −7928.00 | − | 13731.7i | −0.435517 | − | 0.754337i | ||||
\(693\) | 295.291 | − | 303.339i | 0.0161864 | − | 0.0166276i | ||||
\(694\) | 988.887 | − | 1712.80i | 0.0540888 | − | 0.0936846i | ||||
\(695\) | −3123.83 | + | 1136.98i | −0.170495 | + | 0.0620550i | ||||
\(696\) | −281.698 | + | 2256.83i | −0.0153416 | + | 0.122909i | ||||
\(697\) | 324.070 | − | 271.927i | 0.0176113 | − | 0.0147776i | ||||
\(698\) | −1471.82 | − | 535.697i | −0.0798124 | − | 0.0290493i | ||||
\(699\) | −4937.13 | + | 9641.82i | −0.267152 | + | 0.521727i | ||||
\(700\) | −8179.30 | + | 46387.1i | −0.441641 | + | 2.50467i | ||||
\(701\) | 24949.8 | 1.34428 | 0.672141 | − | 0.740423i | \(-0.265375\pi\) | ||||
0.672141 | + | 0.740423i | \(0.265375\pi\) | |||||||
\(702\) | −1276.57 | + | 194.326i | −0.0686341 | + | 0.0104478i | ||||
\(703\) | 10329.5 | 0.554174 | ||||||||
\(704\) | −60.5607 | + | 343.457i | −0.00324214 | + | 0.0183871i | ||||
\(705\) | −2201.75 | + | 110.963i | −0.117621 | + | 0.00592780i | ||||
\(706\) | −1378.14 | − | 501.603i | −0.0734661 | − | 0.0267395i | ||||
\(707\) | 28164.4 | − | 23632.7i | 1.49820 | − | 1.25714i | ||||
\(708\) | −1573.59 | − | 1190.74i | −0.0835297 | − | 0.0632071i | ||||
\(709\) | −12350.5 | + | 4495.22i | −0.654208 | + | 0.238112i | −0.647734 | − | 0.761867i | \(-0.724283\pi\) |
−0.00647435 | + | 0.999979i | \(0.502061\pi\) | |||||||
\(710\) | 3185.56 | − | 5517.55i | 0.168383 | − | 0.291648i | ||||
\(711\) | −14946.5 | − | 10169.0i | −0.788378 | − | 0.536380i | ||||
\(712\) | −1280.46 | − | 2217.82i | −0.0673979 | − | 0.116737i | ||||
\(713\) | −16889.7 | − | 14172.2i | −0.887133 | − | 0.744393i | ||||
\(714\) | −42.5084 | − | 13.0894i | −0.00222806 | − | 0.000686075i | ||||
\(715\) | 78.2360 | + | 443.699i | 0.00409211 | + | 0.0232075i | ||||
\(716\) | 3958.61 | + | 22450.4i | 0.206620 | + | 1.17180i | ||||
\(717\) | 5511.01 | + | 24091.1i | 0.287047 | + | 1.25481i | ||||
\(718\) | 2061.10 | + | 1729.47i | 0.107130 | + | 0.0898929i | ||||
\(719\) | −8434.31 | − | 14608.6i | −0.437478 | − | 0.757734i | 0.560016 | − | 0.828481i | \(-0.310795\pi\) |
−0.997494 | + | 0.0707477i | \(0.977461\pi\) | |||||||
\(720\) | −13745.4 | + | 30542.5i | −0.711474 | + | 1.58091i | ||||
\(721\) | −7115.32 | + | 12324.1i | −0.367529 | + | 0.636579i | ||||
\(722\) | −569.950 | + | 207.445i | −0.0293786 | + | 0.0106929i | ||||
\(723\) | −11040.0 | + | 4660.11i | −0.567888 | + | 0.239712i | ||||
\(724\) | −5506.29 | + | 4620.33i | −0.282651 | + | 0.237173i | ||||
\(725\) | 23966.1 | + | 8722.93i | 1.22769 | + | 0.446844i | ||||
\(726\) | −1121.79 | − | 1735.01i | −0.0573464 | − | 0.0886946i | ||||
\(727\) | −5594.68 | + | 31729.0i | −0.285413 | + | 1.61866i | 0.418393 | + | 0.908266i | \(0.362594\pi\) |
−0.703806 | + | 0.710392i | \(0.748518\pi\) | |||||||
\(728\) | 3147.10 | 0.160219 | ||||||||
\(729\) | 18791.5 | − | 5856.75i | 0.954705 | − | 0.297554i | ||||
\(730\) | −4102.86 | −0.208019 | ||||||||
\(731\) | 66.6653 | − | 378.078i | 0.00337306 | − | 0.0191296i | ||||
\(732\) | −12102.0 | − | 18717.4i | −0.611067 | − | 0.945104i | ||||
\(733\) | 16319.0 | + | 5939.64i | 0.822315 | + | 0.299298i | 0.718701 | − | 0.695319i | \(-0.244737\pi\) |
0.103614 | + | 0.994618i | \(0.466959\pi\) | |||||||
\(734\) | 199.814 | − | 167.664i | 0.0100481 | − | 0.00843132i | ||||
\(735\) | −11407.6 | + | 4815.26i | −0.572483 | + | 0.241651i | ||||
\(736\) | 6262.83 | − | 2279.48i | 0.313656 | − | 0.114162i | ||||
\(737\) | 33.5574 | − | 58.1231i | 0.00167721 | − | 0.00290501i | ||||
\(738\) | −1051.13 | + | 2335.62i | −0.0524290 | + | 0.116498i | ||||
\(739\) | −14926.7 | − | 25853.8i | −0.743014 | − | 1.28694i | −0.951117 | − | 0.308831i | \(-0.900062\pi\) |
0.208103 | − | 0.978107i | \(-0.433271\pi\) | |||||||
\(740\) | −18061.2 | − | 15155.1i | −0.897219 | − | 0.752856i | ||||
\(741\) | 2479.97 | + | 10841.0i | 0.122947 | + | 0.537457i | ||||
\(742\) | −152.492 | − | 864.823i | −0.00754467 | − | 0.0427880i | ||||
\(743\) | −3365.15 | − | 19084.7i | −0.166158 | − | 0.942328i | −0.947863 | − | 0.318679i | \(-0.896761\pi\) |
0.781705 | − | 0.623649i | \(-0.214350\pi\) | |||||||
\(744\) | 4415.81 | + | 1359.74i | 0.217596 | + | 0.0670031i | ||||
\(745\) | −21131.2 | − | 17731.2i | −1.03918 | − | 0.871972i | ||||
\(746\) | −940.389 | − | 1628.80i | −0.0461529 | − | 0.0799392i | ||||
\(747\) | 12453.2 | + | 8472.65i | 0.609959 | + | 0.414991i | ||||
\(748\) | −3.84604 | + | 6.66154i | −0.000188002 | + | 0.000325628i | ||||
\(749\) | −17711.8 | + | 6446.58i | −0.864054 | + | 0.314490i | ||||
\(750\) | −3775.88 | − | 2857.22i | −0.183834 | − | 0.139108i | ||||
\(751\) | −19081.1 | + | 16010.9i | −0.927136 | + | 0.777960i | −0.975301 | − | 0.220880i | \(-0.929107\pi\) |
0.0481647 | + | 0.998839i | \(0.484663\pi\) | |||||||
\(752\) | 1230.03 | + | 447.693i | 0.0596469 | + | 0.0217097i | ||||
\(753\) | −10323.0 | + | 520.254i | −0.499590 | + | 0.0251781i | ||||
\(754\) | 147.119 | − | 834.356i | 0.00710580 | − | 0.0402990i | ||||
\(755\) | 7511.60 | 0.362086 | ||||||||
\(756\) | −23579.3 | + | 3589.35i | −1.13436 | + | 0.172677i | ||||
\(757\) | 30693.0 | 1.47366 | 0.736828 | − | 0.676081i | \(-0.236323\pi\) | ||||
0.736828 | + | 0.676081i | \(0.236323\pi\) | |||||||
\(758\) | −153.443 | + | 870.216i | −0.00735262 | + | 0.0416988i | ||||
\(759\) | −203.716 | + | 397.841i | −0.00974231 | + | 0.0190260i | ||||
\(760\) | −6226.37 | − | 2266.21i | −0.297177 | − | 0.108163i | ||||
\(761\) | −3563.33 | + | 2989.99i | −0.169738 | + | 0.142427i | −0.723700 | − | 0.690115i | \(-0.757560\pi\) |
0.553962 | + | 0.832542i | \(0.313115\pi\) | |||||||
\(762\) | −173.657 | + | 1391.25i | −0.00825580 | + | 0.0661415i | ||||
\(763\) | −22348.4 | + | 8134.13i | −1.06037 | + | 0.385944i | ||||
\(764\) | −4442.22 | + | 7694.15i | −0.210358 | + | 0.364352i | ||||
\(765\) | −503.312 | + | 517.030i | −0.0237873 | + | 0.0244356i | ||||
\(766\) | 496.587 | + | 860.114i | 0.0234235 | + | 0.0405708i | ||||
\(767\) | 1132.59 | + | 950.355i | 0.0533187 | + | 0.0447397i | ||||
\(768\) | 13882.8 | − | 12893.9i | 0.652280 | − | 0.605820i | ||||
\(769\) | −749.236 | − | 4249.13i | −0.0351341 | − | 0.199255i | 0.962188 | − | 0.272385i | \(-0.0878124\pi\) |
−0.997322 | + | 0.0731296i | \(0.976701\pi\) | |||||||
\(770\) | −16.3154 | − | 92.5295i | −0.000763595 | − | 0.00433056i | ||||
\(771\) | 23874.8 | − | 22174.3i | 1.11521 | − | 1.03578i | ||||
\(772\) | 21113.6 | + | 17716.4i | 0.984321 | + | 0.825943i | ||||
\(773\) | 9214.98 | + | 15960.8i | 0.428771 | + | 0.742653i | 0.996764 | − | 0.0803804i | \(-0.0256135\pi\) |
−0.567994 | + | 0.823033i | \(0.692280\pi\) | |||||||
\(774\) | 631.706 | + | 2236.83i | 0.0293362 | + | 0.103878i | ||||
\(775\) | 25906.3 | − | 44871.1i | 1.20075 | − | 2.07976i | ||||
\(776\) | −1323.40 | + | 481.679i | −0.0612208 | + | 0.0222826i | ||||
\(777\) | 2055.82 | − | 16470.2i | 0.0949190 | − | 0.760446i | ||||
\(778\) | 2141.48 | − | 1796.91i | 0.0986835 | − | 0.0828053i | ||||
\(779\) | 20728.4 | + | 7544.51i | 0.953364 | + | 0.346996i | ||||
\(780\) | 11569.4 | − | 22594.2i | 0.531092 | − | 1.03718i | ||||
\(781\) | 134.694 | − | 763.889i | 0.00617124 | − | 0.0349988i | ||||
\(782\) | 46.9608 | 0.00214746 | ||||||||
\(783\) | −303.047 | + | 12910.7i | −0.0138315 | + | 0.589262i | ||||
\(784\) | 7352.05 | 0.334915 | ||||||||
\(785\) | −1839.08 | + | 10430.0i | −0.0836174 | + | 0.474218i | ||||
\(786\) | 2968.91 | − | 149.626i | 0.134730 | − | 0.00679005i | ||||
\(787\) | −10601.7 | − | 3858.70i | −0.480189 | − | 0.174775i | 0.0905732 | − | 0.995890i | \(-0.471130\pi\) |
−0.570763 | + | 0.821115i | \(0.693352\pi\) | |||||||
\(788\) | −25565.0 | + | 21451.6i | −1.15573 | + | 0.969774i | ||||
\(789\) | 10148.9 | + | 7679.73i | 0.457937 | + | 0.346522i | ||||
\(790\) | −3770.30 | + | 1372.28i | −0.169799 | + | 0.0618018i | ||||
\(791\) | −7186.07 | + | 12446.6i | −0.323018 | + | 0.559483i | ||||
\(792\) | 6.90849 | − | 93.4117i | 0.000309953 | − | 0.00419096i | ||||
\(793\) | 8349.86 | + | 14462.4i | 0.373912 | + | 0.647634i | ||||
\(794\) | 932.575 | + | 782.523i | 0.0416824 | + | 0.0349757i | ||||
\(795\) | −13615.4 | − | 4192.51i | −0.607406 | − | 0.187035i | ||||
\(796\) | 563.699 | + | 3196.89i | 0.0251002 | + | 0.142350i | ||||
\(797\) | −4560.92 | − | 25866.2i | −0.202705 | − | 1.14960i | −0.901010 | − | 0.433798i | \(-0.857173\pi\) |
0.698305 | − | 0.715800i | \(-0.253938\pi\) | |||||||
\(798\) | −517.176 | − | 2260.80i | −0.0229421 | − | 0.100290i | ||||
\(799\) | 21.6022 | + | 18.1264i | 0.000956486 | + | 0.000802587i | ||||
\(800\) | 7831.08 | + | 13563.8i | 0.346088 | + | 0.599442i | ||||
\(801\) | −8500.07 | − | 11798.5i | −0.374950 | − | 0.520451i | ||||
\(802\) | 582.340 | − | 1008.64i | 0.0256398 | − | 0.0444095i | ||||
\(803\) | −469.392 | + | 170.845i | −0.0206283 | + | 0.00750808i | ||||
\(804\) | −3483.67 | + | 1470.49i | −0.152810 | + | 0.0645028i | ||||
\(805\) | 38919.6 | − | 32657.4i | 1.70402 | − | 1.42984i | ||||
\(806\) | −1617.37 | − | 588.676i | −0.0706819 | − | 0.0257261i | ||||
\(807\) | 13372.2 | + | 20682.0i | 0.583301 | + | 0.902159i | ||||
\(808\) | 1412.60 | − | 8011.25i | 0.0615038 | − | 0.348805i | ||||
\(809\) | −4965.48 | −0.215793 | −0.107897 | − | 0.994162i | \(-0.534412\pi\) | ||||
−0.107897 | + | 0.994162i | \(0.534412\pi\) | |||||||
\(810\) | 1383.23 | − | 4143.78i | 0.0600022 | − | 0.179750i | ||||
\(811\) | −37019.4 | −1.60287 | −0.801434 | − | 0.598083i | \(-0.795929\pi\) | ||||
−0.801434 | + | 0.598083i | \(0.795929\pi\) | |||||||
\(812\) | 2717.42 | − | 15411.2i | 0.117442 | − | 0.666045i | ||||
\(813\) | 12325.7 | + | 19063.5i | 0.531713 | + | 0.822371i | ||||
\(814\) | 30.4542 | + | 11.0844i | 0.00131133 | + | 0.000477284i | ||||
\(815\) | −10970.8 | + | 9205.62i | −0.471523 | + | 0.395655i | ||||
\(816\) | 394.707 | − | 166.610i | 0.0169332 | − | 0.00714769i | ||||
\(817\) | 18810.9 | − | 6846.60i | 0.805519 | − | 0.293185i | ||||
\(818\) | −1683.49 | + | 2915.90i | −0.0719584 | + | 0.124636i | ||||
\(819\) | 17779.5 | − | 1796.64i | 0.758565 | − | 0.0766542i | ||||
\(820\) | −25174.6 | − | 43603.6i | −1.07211 | − | 1.85696i | ||||
\(821\) | 1124.67 | + | 943.710i | 0.0478091 | + | 0.0401166i | 0.666379 | − | 0.745613i | \(-0.267843\pi\) |
−0.618570 | + | 0.785730i | \(0.712288\pi\) | |||||||
\(822\) | 914.805 | + | 3999.02i | 0.0388169 | + | 0.169686i | ||||
\(823\) | 1879.65 | + | 10660.1i | 0.0796120 | + | 0.451502i | 0.998390 | + | 0.0567267i | \(0.0180664\pi\) |
−0.918778 | + | 0.394775i | \(0.870823\pi\) | |||||||
\(824\) | 546.761 | + | 3100.83i | 0.0231157 | + | 0.131095i | ||||
\(825\) | −1003.85 | − | 309.110i | −0.0423632 | − | 0.0130446i | ||||
\(826\) | −236.192 | − | 198.188i | −0.00994934 | − | 0.00834849i | ||||
\(827\) | −4931.39 | − | 8541.41i | −0.207353 | − | 0.359146i | 0.743527 | − | 0.668706i | \(-0.233152\pi\) |
−0.950880 | + | 0.309560i | \(0.899818\pi\) | |||||||
\(828\) | 22677.8 | − | 10948.4i | 0.951823 | − | 0.459520i | ||||
\(829\) | −18383.5 | + | 31841.1i | −0.770185 | + | 1.33400i | 0.167276 | + | 0.985910i | \(0.446503\pi\) |
−0.937461 | + | 0.348090i | \(0.886830\pi\) | |||||||
\(830\) | 3141.37 | − | 1143.36i | 0.131372 | − | 0.0478154i | ||||
\(831\) | 31982.6 | + | 24201.3i | 1.33509 | + | 1.01027i | ||||
\(832\) | −11277.6 | + | 9463.02i | −0.469928 | + | 0.394316i | ||||
\(833\) | 148.837 | + | 54.1721i | 0.00619074 | + | 0.00225325i | ||||
\(834\) | −257.125 | + | 12.9584i | −0.0106757 | + | 0.000538027i | ||||
\(835\) | 12816.9 | − | 72688.1i | 0.531193 | − | 3.01255i | ||||
\(836\) | −401.086 | −0.0165931 | ||||||||
\(837\) | 25723.3 | + | 5160.86i | 1.06228 | + | 0.213125i | ||||
\(838\) | 1792.01 | 0.0738713 | ||||||||
\(839\) | 2194.15 | − | 12443.7i | 0.0902867 | − | 0.512042i | −0.905803 | − | 0.423698i | \(-0.860732\pi\) |
0.996090 | − | 0.0883432i | \(-0.0281572\pi\) | |||||||
\(840\) | −4852.64 | + | 9476.82i | −0.199324 | + | 0.389264i | ||||
\(841\) | 14955.9 | + | 5443.50i | 0.613223 | + | 0.223195i | ||||
\(842\) | 3588.39 | − | 3011.01i | 0.146869 | − | 0.123238i | ||||
\(843\) | −2417.75 | + | 19369.9i | −0.0987804 | + | 0.791381i | ||||
\(844\) | 4654.08 | − | 1693.95i | 0.189810 | − | 0.0690854i | ||||
\(845\) | 12517.4 | − | 21680.8i | 0.509600 | − | 0.882653i | ||||
\(846\) | −165.492 | − | 41.9674i | −0.00672546 | − | 0.00170552i | ||||
\(847\) | 14296.2 | + | 24761.8i | 0.579957 | + | 1.00451i | ||||
\(848\) | 6479.84 | + | 5437.23i | 0.262404 | + | 0.220183i | ||||
\(849\) | 8863.43 | − | 8232.12i | 0.358295 | − | 0.332775i | ||||
\(850\) | 19.1634 | + | 108.681i | 0.000773294 | + | 0.00438557i | ||||
\(851\) | 3043.11 | + | 17258.3i | 0.122581 | + | 0.695191i | ||||
\(852\) | −32021.4 | + | 29740.6i | −1.28760 | + | 1.19589i | ||||
\(853\) | −3006.58 | − | 2522.82i | −0.120684 | − | 0.101266i | 0.580448 | − | 0.814297i | \(-0.302877\pi\) |
−0.701132 | + | 0.713031i | \(0.747322\pi\) | |||||||
\(854\) | −1741.29 | − | 3016.00i | −0.0697725 | − | 0.120850i | ||||
\(855\) | −36469.5 | − | 9248.36i | −1.45875 | − | 0.369927i | ||||
\(856\) | −2085.21 | + | 3611.70i | −0.0832607 | + | 0.144212i | ||||
\(857\) | 7537.41 | − | 2743.39i | 0.300435 | − | 0.109349i | −0.187404 | − | 0.982283i | \(-0.560007\pi\) |
0.487839 | + | 0.872933i | \(0.337785\pi\) | |||||||
\(858\) | −4.32173 | + | 34.6236i | −0.000171960 | + | 0.00137766i | ||||
\(859\) | −15033.6 | + | 12614.7i | −0.597136 | + | 0.501057i | −0.890524 | − | 0.454937i | \(-0.849662\pi\) |
0.293388 | + | 0.955994i | \(0.405217\pi\) | |||||||
\(860\) | −42936.0 | − | 15627.4i | −1.70245 | − | 0.619641i | ||||
\(861\) | 16155.0 | − | 31549.5i | 0.639445 | − | 1.24879i | ||||
\(862\) | −467.029 | + | 2648.65i | −0.0184537 | + | 0.104656i | ||||
\(863\) | −37409.0 | −1.47557 | −0.737785 | − | 0.675036i | \(-0.764128\pi\) | ||||
−0.737785 | + | 0.675036i | \(0.764128\pi\) | |||||||
\(864\) | −5238.92 | + | 5953.98i | −0.206287 | + | 0.234443i | ||||
\(865\) | −40191.0 | −1.57981 | ||||||||
\(866\) | 53.4496 | − | 303.128i | 0.00209733 | − | 0.0118946i | ||||
\(867\) | −25487.1 | + | 1284.49i | −0.998371 | + | 0.0503154i | ||||
\(868\) | −29874.2 | − | 10873.3i | −1.16820 | − | 0.425190i | ||||
\(869\) | −374.203 | + | 313.994i | −0.0146076 | + | 0.0122572i | ||||
\(870\) | 2285.64 | + | 1729.55i | 0.0890695 | + | 0.0673991i | ||||
\(871\) | 2662.23 | − | 968.973i | 0.103566 | − | 0.0376951i | ||||
\(872\) | −2631.07 | + | 4557.15i | −0.102178 | + | 0.176978i | ||||
\(873\) | −7201.55 | + | 3476.75i | −0.279193 | + | 0.134788i | ||||
\(874\) | 1224.33 | + | 2120.61i | 0.0473841 | + | 0.0820716i | ||||
\(875\) | 50197.9 | + | 42121.1i | 1.93943 | + | 1.62737i | ||||
\(876\) | 26896.9 | + | 8282.22i | 1.03740 | + | 0.319441i | ||||
\(877\) | −2545.12 | − | 14434.1i | −0.0979963 | − | 0.555764i | −0.993788 | − | 0.111290i | \(-0.964502\pi\) |
0.895792 | − | 0.444474i | \(-0.146609\pi\) | |||||||
\(878\) | 519.452 | + | 2945.96i | 0.0199666 | + | 0.113236i | ||||
\(879\) | −5612.00 | − | 24532.5i | −0.215345 | − | 0.941368i | ||||
\(880\) | 693.294 | + | 581.742i | 0.0265579 | + | 0.0222847i | ||||
\(881\) | 4025.18 | + | 6971.82i | 0.153929 | + | 0.266613i | 0.932669 | − | 0.360734i | \(-0.117474\pi\) |
−0.778739 | + | 0.627348i | \(0.784141\pi\) | |||||||
\(882\) | −954.081 | + | 96.4115i | −0.0364235 | + | 0.00368066i | ||||
\(883\) | −21299.5 | + | 36891.7i | −0.811760 | + | 1.40601i | 0.0998716 | + | 0.995000i | \(0.468157\pi\) |
−0.911631 | + | 0.411009i | \(0.865177\pi\) | |||||||
\(884\) | −305.121 | + | 111.055i | −0.0116090 | + | 0.00422531i | ||||
\(885\) | −4608.18 | + | 1945.16i | −0.175031 | + | 0.0738824i | ||||
\(886\) | −258.410 | + | 216.831i | −0.00979846 | + | 0.00822189i | ||||
\(887\) | −47598.1 | − | 17324.3i | −1.80179 | − | 0.655797i | −0.998158 | − | 0.0606688i | \(-0.980677\pi\) |
−0.803631 | − | 0.595129i | \(-0.797101\pi\) | |||||||
\(888\) | −1994.00 | − | 3084.01i | −0.0753538 | − | 0.116546i | ||||
\(889\) | 3369.29 | − | 19108.2i | 0.127112 | − | 0.720886i | ||||
\(890\) | −3227.43 | −0.121555 | ||||||||
\(891\) | −14.2983 | − | 531.671i | −0.000537612 | − | 0.0199906i | ||||
\(892\) | 35884.3 | 1.34697 | ||||||||
\(893\) | −255.334 | + | 1448.07i | −0.00956823 | + | 0.0542641i | ||||
\(894\) | −1159.92 | − | 1793.98i | −0.0433931 | − | 0.0671138i | ||||
\(895\) | 54299.2 | + | 19763.3i | 2.02796 | + | 0.738117i | ||||
\(896\) | 9796.70 | − | 8220.41i | 0.365273 | − | 0.306501i | ||||
\(897\) | −17382.4 | + | 7337.29i | −0.647025 | + | 0.273116i | ||||
\(898\) | −1479.06 | + | 538.335i | −0.0549633 | + | 0.0200050i | ||||
\(899\) | −8606.88 | + | 14907.5i | −0.319305 | + | 0.553053i | ||||
\(900\) | 34591.9 | + | 48015.4i | 1.28118 | + | 1.77835i | ||||
\(901\) | 91.1164 | + | 157.818i | 0.00336906 | + | 0.00583539i | ||||
\(902\) | 53.0170 | + | 44.4866i | 0.00195707 | + | 0.00164217i | ||||
\(903\) | −7172.98 | − | 31356.3i | −0.264343 | − | 1.15556i | ||||
\(904\) | 552.197 | + | 3131.67i | 0.0203162 | + | 0.115219i | ||||
\(905\) | 3163.81 | + | 17942.9i | 0.116208 | + | 0.659051i | ||||
\(906\) | 555.973 | + | 171.198i | 0.0203874 | + | 0.00627778i | ||||
\(907\) | 25852.9 | + | 21693.2i | 0.946452 | + | 0.794167i | 0.978696 | − | 0.205313i | \(-0.0658211\pi\) |
−0.0322446 | + | 0.999480i | \(0.510266\pi\) | |||||||
\(908\) | 25839.0 | + | 44754.4i | 0.944379 | + | 1.63571i | ||||
\(909\) | 3406.91 | − | 46065.8i | 0.124313 | − | 1.68087i | ||||
\(910\) | 1983.08 | − | 3434.80i | 0.0722401 | − | 0.125124i | ||||
\(911\) | −28530.0 | + | 10384.1i | −1.03759 | + | 0.377651i | −0.803965 | − | 0.594677i | \(-0.797280\pi\) |
−0.233622 | + | 0.972327i | \(0.575058\pi\) | |||||||
\(912\) | 17814.1 | + | 13480.0i | 0.646804 | + | 0.489438i | ||||
\(913\) | 311.781 | − | 261.616i | 0.0113017 | − | 0.00948325i | ||||
\(914\) | −2807.59 | − | 1021.88i | −0.101605 | − | 0.0369812i | ||||
\(915\) | −56425.5 | + | 2843.70i | −2.03865 | + | 0.102743i | ||||
\(916\) | 7393.16 | − | 41928.7i | 0.266678 | − | 1.51241i | ||||
\(917\) | −41138.9 | −1.48149 | ||||||||
\(918\) | −49.0365 | + | 26.7971i | −0.00176301 | + | 0.000963438i | ||||
\(919\) | −30740.1 | −1.10340 | −0.551699 | − | 0.834043i | \(-0.686020\pi\) | ||||
−0.551699 | + | 0.834043i | \(0.686020\pi\) | |||||||
\(920\) | 1952.03 | − | 11070.5i | 0.0699529 | − | 0.396722i | ||||
\(921\) | 5875.51 | − | 11474.4i | 0.210211 | − | 0.410526i | ||||
\(922\) | 3829.46 | + | 1393.81i | 0.136786 | + | 0.0497860i | ||||
\(923\) | 25082.7 | − | 21046.9i | 0.894482 | − | 0.750560i | ||||
\(924\) | −79.8258 | + | 639.526i | −0.00284207 | + | 0.0227693i | ||||
\(925\) | −38699.0 | + | 14085.3i | −1.37558 | + | 0.500672i | ||||
\(926\) | 577.532 | − | 1000.31i | 0.0204955 | − | 0.0354993i | ||||
\(927\) | 4859.15 | + | 17206.0i | 0.172163 | + | 0.609620i | ||||
\(928\) | −2601.73 | − | 4506.32i | −0.0920322 | − | 0.159404i | ||||
\(929\) | 14376.5 | + | 12063.3i | 0.507727 | + | 0.426034i | 0.860329 | − | 0.509740i | \(-0.170258\pi\) |
−0.352601 | + | 0.935774i | \(0.614703\pi\) | |||||||
\(930\) | 4266.58 | − | 3962.68i | 0.150437 | − | 0.139722i | ||||
\(931\) | 1434.13 | + | 8133.35i | 0.0504852 | + | 0.286316i | ||||
\(932\) | −2863.69 | − | 16240.8i | −0.100647 | − | 0.570799i | ||||
\(933\) | 6145.59 | − | 5707.86i | 0.215646 | − | 0.200286i | ||||
\(934\) | −3138.65 | − | 2633.64i | −0.109957 | − | 0.0922648i | ||||
\(935\) | 9.74876 | + | 16.8853i | 0.000340982 | + | 0.000590599i | ||||
\(936\) | 2758.00 | − | 2833.17i | 0.0963121 | − | 0.0989371i | ||||
\(937\) | 18847.5 | − | 32644.8i | 0.657119 | − | 1.13816i | −0.324239 | − | 0.945975i | \(-0.605108\pi\) |
0.981358 | − | 0.192188i | \(-0.0615584\pi\) | |||||||
\(938\) | −555.185 | + | 202.071i | −0.0193256 | + | 0.00703396i | ||||
\(939\) | 6415.74 | − | 51399.8i | 0.222971 | − | 1.78634i | ||||
\(940\) | 2571.02 | − | 2157.34i | 0.0892100 | − | 0.0748561i | ||||
\(941\) | 34661.8 | + | 12615.9i | 1.20079 | + | 0.437052i | 0.863500 | − | 0.504349i | \(-0.168268\pi\) |
0.337290 | + | 0.941401i | \(0.390490\pi\) | |||||||
\(942\) | −373.831 | + | 730.062i | −0.0129300 | + | 0.0252513i | ||||
\(943\) | −6498.56 | + | 36855.2i | −0.224414 | + | 1.27271i | ||||
\(944\) | 2969.92 | 0.102397 | ||||||||
\(945\) | −22004.7 | + | 56309.5i | −0.757474 | + | 1.93836i | ||||
\(946\) | 62.8066 | 0.00215858 | ||||||||
\(947\) | 4455.71 | − | 25269.6i | 0.152895 | − | 0.867108i | −0.807791 | − | 0.589469i | \(-0.799337\pi\) |
0.960685 | − | 0.277639i | \(-0.0895519\pi\) | |||||||
\(948\) | 27486.9 | − | 1385.27i | 0.941702 | − | 0.0474594i | ||||
\(949\) | −19814.3 | − | 7211.80i | −0.677764 | − | 0.246686i | ||||
\(950\) | −4408.09 | + | 3698.82i | −0.150544 | + | 0.126322i | ||||
\(951\) | 8445.44 | + | 6390.69i | 0.287973 | + | 0.217910i | ||||
\(952\) | 127.979 | − | 46.5805i | 0.00435695 | − | 0.00158580i | ||||
\(953\) | 12102.3 | − | 20961.9i | 0.411367 | − | 0.712509i | −0.583672 | − | 0.811989i | \(-0.698385\pi\) |
0.995040 | + | 0.0994802i | \(0.0317180\pi\) | |||||||
\(954\) | −912.195 | − | 620.620i | −0.0309575 | − | 0.0210622i | ||||
\(955\) | 11259.9 | + | 19502.8i | 0.381531 | + | 0.660832i | ||||
\(956\) | −28821.6 | − | 24184.2i | −0.975060 | − | 0.818172i | ||||
\(957\) | 333.510 | + | 102.696i | 0.0112653 | + | 0.00346885i | ||||
\(958\) | 365.257 | + | 2071.47i | 0.0123183 | + | 0.0698604i | ||||
\(959\) | −9858.35 | − | 55909.5i | −0.331953 | − | 1.88260i | ||||
\(960\) | −11106.5 | − | 48551.5i | −0.373397 | − | 1.63229i | ||||
\(961\) | 3967.65 | + | 3329.25i | 0.133183 | + | 0.111754i | ||||
\(962\) | 684.027 | + | 1184.77i | 0.0229251 | + | 0.0397074i | ||||
\(963\) | −9718.50 | + | 21594.6i | −0.325207 | + | 0.722614i | ||||
\(964\) | 9121.75 | − | 15799.3i | 0.304763 | − | 0.527865i | ||||
\(965\) | 65649.3 | − | 23894.4i | 2.18997 | − | 0.797085i | ||||
\(966\) | 3624.95 | − | 1530.13i | 0.120736 | − | 0.0509638i | ||||
\(967\) | 5011.54 | − | 4205.18i | 0.166660 | − | 0.139844i | −0.555643 | − | 0.831421i | \(-0.687528\pi\) |
0.722303 | + | 0.691576i | \(0.243083\pi\) | |||||||
\(968\) | 5944.83 | + | 2163.74i | 0.197390 | + | 0.0718442i | ||||
\(969\) | 261.309 | + | 404.152i | 0.00866301 | + | 0.0133986i | ||||
\(970\) | −308.203 | + | 1747.91i | −0.0102019 | + | 0.0578576i | ||||
\(971\) | 35553.5 | 1.17504 | 0.587521 | − | 0.809209i | \(-0.300104\pi\) | ||||
0.587521 | + | 0.809209i | \(0.300104\pi\) | |||||||
\(972\) | −17432.8 | + | 24372.9i | −0.575264 | + | 0.804280i | ||||
\(973\) | 3562.86 | 0.117390 | ||||||||
\(974\) | −492.221 | + | 2791.53i | −0.0161928 | + | 0.0918339i | ||||
\(975\) | −24073.9 | − | 37233.8i | −0.790751 | − | 1.22301i | ||||
\(976\) | 31522.6 | + | 11473.3i | 1.03382 | + | 0.376281i | ||||
\(977\) | 34259.6 | − | 28747.2i | 1.12187 | − | 0.941357i | 0.123168 | − | 0.992386i | \(-0.460695\pi\) |
0.998697 | + | 0.0510292i | \(0.0162502\pi\) | |||||||
\(978\) | −1021.82 | + | 431.320i | −0.0334091 | + | 0.0141023i | ||||
\(979\) | −369.237 | + | 134.391i | −0.0120540 | + | 0.00438730i | ||||
\(980\) | 9425.42 | − | 16325.3i | 0.307229 | − | 0.532136i | ||||
\(981\) | −12262.6 | + | 27247.6i | −0.399096 | + | 0.886797i | ||||
\(982\) | −2012.08 | − | 3485.02i | −0.0653848 | − | 0.113250i | ||||
\(983\) | 9990.01 | + | 8382.61i | 0.324142 | + | 0.271988i | 0.790308 | − | 0.612710i | \(-0.209921\pi\) |
−0.466166 | + | 0.884697i | \(0.654365\pi\) | |||||||
\(984\) | −1748.87 | − | 7645.10i | −0.0566586 | − | 0.247680i | ||||
\(985\) | 14689.2 | + | 83306.5i | 0.475164 | + | 2.69479i | ||||
\(986\) | −6.36668 | − | 36.1072i | −0.000205635 | − | 0.00116622i | ||||
\(987\) | 2258.11 | + | 695.327i | 0.0728231 | + | 0.0224240i | ||||
\(988\) | −12969.8 | − | 10883.0i | −0.417636 | − | 0.350438i | ||||
\(989\) | 16980.9 | + | 29411.8i | 0.545967 | + | 0.945643i | ||||
\(990\) | −97.5979 | − | 66.4016i | −0.00313320 | − | 0.00213170i | ||||
\(991\) | −28777.1 | + | 49843.4i | −0.922436 | + | 1.59771i | −0.126802 | + | 0.991928i | \(0.540471\pi\) |
−0.795634 | + | 0.605778i | \(0.792862\pi\) | |||||||
\(992\) | −9933.50 | + | 3615.50i | −0.317932 | + | 0.115718i | ||||
\(993\) | −5028.28 | − | 3804.91i | −0.160693 | − | 0.121596i | ||||
\(994\) | −5230.78 | + | 4389.14i | −0.166912 | + | 0.140056i | ||||
\(995\) | 7732.11 | + | 2814.26i | 0.246356 | + | 0.0896663i | ||||
\(996\) | −22901.7 | + | 1154.19i | −0.728584 | + | 0.0367188i | ||||
\(997\) | −3423.94 | + | 19418.2i | −0.108764 | + | 0.616830i | 0.880886 | + | 0.473328i | \(0.156947\pi\) |
−0.989650 | + | 0.143502i | \(0.954164\pi\) | |||||||
\(998\) | −3545.30 | −0.112449 | ||||||||
\(999\) | −13025.7 | − | 16284.7i | −0.412527 | − | 0.515740i |
(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 | 27.4.e.a.25.4 | yes | 48 | |
3.2 | odd | 2 | 81.4.e.a.73.5 | 48 | |||
9.2 | odd | 6 | 243.4.e.a.55.4 | 48 | |||
9.4 | even | 3 | 243.4.e.c.136.4 | 48 | |||
9.5 | odd | 6 | 243.4.e.b.136.5 | 48 | |||
9.7 | even | 3 | 243.4.e.d.55.5 | 48 | |||
27.4 | even | 9 | 243.4.e.c.109.4 | 48 | |||
27.5 | odd | 18 | 243.4.e.a.190.4 | 48 | |||
27.11 | odd | 18 | 729.4.a.c.1.14 | 24 | |||
27.13 | even | 9 | inner | 27.4.e.a.13.4 | ✓ | 48 | |
27.14 | odd | 18 | 81.4.e.a.10.5 | 48 | |||
27.16 | even | 9 | 729.4.a.d.1.11 | 24 | |||
27.22 | even | 9 | 243.4.e.d.190.5 | 48 | |||
27.23 | odd | 18 | 243.4.e.b.109.5 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.4.e.a.13.4 | ✓ | 48 | 27.13 | even | 9 | inner | |
27.4.e.a.25.4 | yes | 48 | 1.1 | even | 1 | trivial | |
81.4.e.a.10.5 | 48 | 27.14 | odd | 18 | |||
81.4.e.a.73.5 | 48 | 3.2 | odd | 2 | |||
243.4.e.a.55.4 | 48 | 9.2 | odd | 6 | |||
243.4.e.a.190.4 | 48 | 27.5 | odd | 18 | |||
243.4.e.b.109.5 | 48 | 27.23 | odd | 18 | |||
243.4.e.b.136.5 | 48 | 9.5 | odd | 6 | |||
243.4.e.c.109.4 | 48 | 27.4 | even | 9 | |||
243.4.e.c.136.4 | 48 | 9.4 | even | 3 | |||
243.4.e.d.55.5 | 48 | 9.7 | even | 3 | |||
243.4.e.d.190.5 | 48 | 27.22 | even | 9 | |||
729.4.a.c.1.14 | 24 | 27.11 | odd | 18 | |||
729.4.a.d.1.11 | 24 | 27.16 | even | 9 |