Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 287.114 | ||
Character | \(\chi\) | \(=\) | 300.287 |
Dual form | 300.3.u.a.23.114 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.99617 | + | 0.123641i | 0.998087 | + | 0.0618207i | ||||
\(3\) | 2.98767 | − | 0.271757i | 0.995889 | − | 0.0905855i | ||||
\(4\) | 3.96943 | + | 0.493620i | 0.992356 | + | 0.123405i | ||||
\(5\) | −3.39000 | + | 3.67531i | −0.677999 | + | 0.735063i | ||||
\(6\) | 5.99750 | − | 0.173074i | 0.999584 | − | 0.0288457i | ||||
\(7\) | −3.39236 | + | 3.39236i | −0.484623 | + | 0.484623i | −0.906604 | − | 0.421982i | \(-0.861335\pi\) |
0.421982 | + | 0.906604i | \(0.361335\pi\) | |||||||
\(8\) | 7.86263 | + | 1.47614i | 0.982829 | + | 0.184517i | ||||
\(9\) | 8.85230 | − | 1.62384i | 0.983589 | − | 0.180426i | ||||
\(10\) | −7.22144 | + | 6.91742i | −0.722144 | + | 0.691742i | ||||
\(11\) | 7.53995 | + | 5.47810i | 0.685450 | + | 0.498009i | 0.875161 | − | 0.483831i | \(-0.160755\pi\) |
−0.189711 | + | 0.981840i | \(0.560755\pi\) | |||||||
\(12\) | 11.9935 | + | 0.396053i | 0.999455 | + | 0.0330044i | ||||
\(13\) | 2.82913 | − | 17.8624i | 0.217625 | − | 1.37403i | −0.600791 | − | 0.799406i | \(-0.705147\pi\) |
0.818416 | − | 0.574626i | \(-0.194853\pi\) | |||||||
\(14\) | −7.19118 | + | 6.35231i | −0.513656 | + | 0.453736i | ||||
\(15\) | −9.12938 | + | 11.9019i | −0.608626 | + | 0.793458i | ||||
\(16\) | 15.5127 | + | 3.91877i | 0.969542 | + | 0.244923i | ||||
\(17\) | 2.62684 | + | 5.15547i | 0.154520 | + | 0.303263i | 0.955269 | − | 0.295737i | \(-0.0955651\pi\) |
−0.800749 | + | 0.599000i | \(0.795565\pi\) | |||||||
\(18\) | 17.8715 | − | 2.14695i | 0.992861 | − | 0.119275i | ||||
\(19\) | −6.72338 | + | 20.6924i | −0.353862 | + | 1.08908i | 0.602804 | + | 0.797889i | \(0.294050\pi\) |
−0.956666 | + | 0.291186i | \(0.905950\pi\) | |||||||
\(20\) | −15.2705 | + | 12.9155i | −0.763527 | + | 0.645776i | ||||
\(21\) | −9.21334 | + | 11.0571i | −0.438731 | + | 0.526530i | ||||
\(22\) | 14.3737 | + | 11.8675i | 0.653352 | + | 0.539431i | ||||
\(23\) | 7.68835 | − | 1.21772i | 0.334276 | − | 0.0529441i | 0.0129597 | − | 0.999916i | \(-0.495875\pi\) |
0.321316 | + | 0.946972i | \(0.395875\pi\) | |||||||
\(24\) | 23.8921 | + | 2.27348i | 0.995503 | + | 0.0947283i | ||||
\(25\) | −2.01586 | − | 24.9186i | −0.0806344 | − | 0.996744i | ||||
\(26\) | 7.85597 | − | 35.3067i | 0.302153 | − | 1.35795i | ||||
\(27\) | 26.0064 | − | 7.25715i | 0.963201 | − | 0.268783i | ||||
\(28\) | −15.1403 | + | 11.7912i | −0.540723 | + | 0.421114i | ||||
\(29\) | −10.0387 | − | 30.8958i | −0.346160 | − | 1.06537i | −0.960960 | − | 0.276688i | \(-0.910763\pi\) |
0.614799 | − | 0.788684i | \(-0.289237\pi\) | |||||||
\(30\) | −19.6954 | + | 22.6294i | −0.656514 | + | 0.754314i | ||||
\(31\) | −48.1223 | − | 15.6359i | −1.55233 | − | 0.504383i | −0.597586 | − | 0.801805i | \(-0.703873\pi\) |
−0.954746 | + | 0.297422i | \(0.903873\pi\) | |||||||
\(32\) | 30.4815 | + | 9.74056i | 0.952547 | + | 0.304393i | ||||
\(33\) | 24.0156 | + | 14.3177i | 0.727745 | + | 0.433869i | ||||
\(34\) | 4.60621 | + | 10.6160i | 0.135477 | + | 0.312235i | ||||
\(35\) | −0.967902 | − | 23.9681i | −0.0276543 | − | 0.684802i | ||||
\(36\) | 35.9401 | − | 2.07603i | 0.998336 | − | 0.0576674i | ||||
\(37\) | −49.2909 | − | 7.80692i | −1.33219 | − | 0.210998i | −0.550587 | − | 0.834778i | \(-0.685596\pi\) |
−0.781600 | + | 0.623780i | \(0.785596\pi\) | |||||||
\(38\) | −15.9795 | + | 40.4744i | −0.420513 | + | 1.06512i | ||||
\(39\) | 3.59827 | − | 54.1358i | 0.0922632 | − | 1.38810i | ||||
\(40\) | −32.0796 | + | 23.8936i | −0.801989 | + | 0.597339i | ||||
\(41\) | −4.10886 | − | 5.65536i | −0.100216 | − | 0.137936i | 0.755964 | − | 0.654613i | \(-0.227169\pi\) |
−0.856180 | + | 0.516678i | \(0.827169\pi\) | |||||||
\(42\) | −19.7586 | + | 20.9328i | −0.470442 | + | 0.498401i | ||||
\(43\) | −29.1499 | − | 29.1499i | −0.677904 | − | 0.677904i | 0.281622 | − | 0.959525i | \(-0.409128\pi\) |
−0.959525 | + | 0.281622i | \(0.909128\pi\) | |||||||
\(44\) | 27.2252 | + | 25.4668i | 0.618754 | + | 0.578790i | ||||
\(45\) | −24.0411 | + | 38.0398i | −0.534248 | + | 0.845328i | ||||
\(46\) | 15.4979 | − | 1.48017i | 0.336910 | − | 0.0321777i | ||||
\(47\) | 14.6988 | − | 28.8480i | 0.312740 | − | 0.613787i | −0.680116 | − | 0.733105i | \(-0.738071\pi\) |
0.992856 | + | 0.119317i | \(0.0380706\pi\) | |||||||
\(48\) | 47.4117 | + | 7.49231i | 0.987743 | + | 0.156090i | ||||
\(49\) | 25.9838i | 0.530281i | ||||||||
\(50\) | −0.943040 | − | 49.9911i | −0.0188608 | − | 0.999822i | ||||
\(51\) | 9.24916 | + | 14.6890i | 0.181356 | + | 0.288019i | ||||
\(52\) | 20.0473 | − | 69.5071i | 0.385524 | − | 1.33667i | ||||
\(53\) | 23.4248 | − | 45.9738i | 0.441978 | − | 0.867430i | −0.557332 | − | 0.830289i | \(-0.688175\pi\) |
0.999310 | − | 0.0371404i | \(-0.0118249\pi\) | |||||||
\(54\) | 52.8106 | − | 11.2711i | 0.977975 | − | 0.208723i | ||||
\(55\) | −45.6941 | + | 9.14097i | −0.830802 | + | 0.166199i | ||||
\(56\) | −31.6805 | + | 21.6653i | −0.565723 | + | 0.386880i | ||||
\(57\) | −14.4639 | + | 63.6492i | −0.253753 | + | 1.11665i | ||||
\(58\) | −16.2189 | − | 62.9146i | −0.279636 | − | 1.08473i | ||||
\(59\) | −42.0035 | − | 57.8128i | −0.711923 | − | 0.979879i | −0.999754 | − | 0.0221971i | \(-0.992934\pi\) |
0.287830 | − | 0.957681i | \(-0.407066\pi\) | |||||||
\(60\) | −42.1134 | + | 42.7371i | −0.701890 | + | 0.712285i | ||||
\(61\) | 74.4096 | + | 54.0617i | 1.21983 | + | 0.886258i | 0.996086 | − | 0.0883903i | \(-0.0281723\pi\) |
0.223743 | + | 0.974648i | \(0.428172\pi\) | |||||||
\(62\) | −94.1273 | − | 37.1619i | −1.51818 | − | 0.599385i | ||||
\(63\) | −24.5215 | + | 35.5388i | −0.389231 | + | 0.564108i | ||||
\(64\) | 59.6420 | + | 23.2126i | 0.931907 | + | 0.362697i | ||||
\(65\) | 56.0593 | + | 70.9515i | 0.862450 | + | 1.09156i | ||||
\(66\) | 46.1690 | + | 31.5499i | 0.699531 | + | 0.478029i | ||||
\(67\) | 23.1805 | + | 45.4943i | 0.345978 | + | 0.679020i | 0.996776 | − | 0.0802306i | \(-0.0255657\pi\) |
−0.650798 | + | 0.759251i | \(0.725566\pi\) | |||||||
\(68\) | 7.88222 | + | 21.7609i | 0.115915 | + | 0.320013i | ||||
\(69\) | 22.6393 | − | 5.72749i | 0.328106 | − | 0.0830071i | ||||
\(70\) | 1.03134 | − | 47.9641i | 0.0147335 | − | 0.685202i | ||||
\(71\) | 8.93710 | + | 27.5056i | 0.125875 | + | 0.387402i | 0.994059 | − | 0.108839i | \(-0.0347132\pi\) |
−0.868185 | + | 0.496241i | \(0.834713\pi\) | |||||||
\(72\) | 71.9994 | + | 0.299570i | 0.999991 | + | 0.00416070i | ||||
\(73\) | −55.6813 | + | 8.81906i | −0.762758 | + | 0.120809i | −0.525681 | − | 0.850682i | \(-0.676189\pi\) |
−0.237077 | + | 0.971491i | \(0.576189\pi\) | |||||||
\(74\) | −97.4280 | − | 21.6784i | −1.31660 | − | 0.292951i | ||||
\(75\) | −12.7945 | − | 73.9006i | −0.170593 | − | 0.985342i | ||||
\(76\) | −36.9021 | + | 78.8183i | −0.485554 | + | 1.03708i | ||||
\(77\) | −44.1619 | + | 6.99456i | −0.573531 | + | 0.0908385i | ||||
\(78\) | 13.8762 | − | 107.620i | 0.177900 | − | 1.37974i | ||||
\(79\) | −42.8193 | − | 131.784i | −0.542016 | − | 1.66815i | −0.727981 | − | 0.685597i | \(-0.759541\pi\) |
0.185965 | − | 0.982556i | \(-0.440459\pi\) | |||||||
\(80\) | −66.9906 | + | 43.7293i | −0.837383 | + | 0.546617i | ||||
\(81\) | 75.7263 | − | 28.7493i | 0.934893 | − | 0.354930i | ||||
\(82\) | −7.50277 | − | 11.7971i | −0.0914972 | − | 0.143867i | ||||
\(83\) | 58.9377 | + | 115.672i | 0.710093 | + | 1.39364i | 0.910328 | + | 0.413887i | \(0.135829\pi\) |
−0.200236 | + | 0.979748i | \(0.564171\pi\) | |||||||
\(84\) | −42.0297 | + | 39.3426i | −0.500354 | + | 0.468364i | ||||
\(85\) | −27.8529 | − | 7.82255i | −0.327682 | − | 0.0920299i | ||||
\(86\) | −54.5841 | − | 61.7923i | −0.634699 | − | 0.718516i | ||||
\(87\) | −38.3883 | − | 89.5782i | −0.441244 | − | 1.02963i | ||||
\(88\) | 51.1975 | + | 54.2023i | 0.581790 | + | 0.615935i | ||||
\(89\) | 43.0368 | + | 31.2680i | 0.483559 | + | 0.351326i | 0.802702 | − | 0.596380i | \(-0.203395\pi\) |
−0.319143 | + | 0.947707i | \(0.603395\pi\) | |||||||
\(90\) | −52.6936 | + | 72.9615i | −0.585485 | + | 0.810684i | ||||
\(91\) | 50.9984 | + | 70.1932i | 0.560421 | + | 0.771354i | ||||
\(92\) | 31.1194 | − | 1.03851i | 0.338255 | − | 0.0112881i | ||||
\(93\) | −148.022 | − | 33.6372i | −1.59164 | − | 0.361691i | ||||
\(94\) | 32.9082 | − | 55.7683i | 0.350087 | − | 0.593279i | ||||
\(95\) | −53.2589 | − | 94.8578i | −0.560621 | − | 0.998503i | ||||
\(96\) | 93.7156 | + | 20.8180i | 0.976204 | + | 0.216854i | ||||
\(97\) | 3.77153 | − | 7.40205i | 0.0388818 | − | 0.0763098i | −0.870748 | − | 0.491729i | \(-0.836365\pi\) |
0.909630 | + | 0.415419i | \(0.136365\pi\) | |||||||
\(98\) | −3.21267 | + | 51.8682i | −0.0327824 | + | 0.529267i | ||||
\(99\) | 75.6414 | + | 36.2501i | 0.764055 | + | 0.366163i | ||||
\(100\) | 4.29850 | − | 99.9076i | 0.0429850 | − | 0.999076i | ||||
\(101\) | 126.225i | 1.24975i | 0.780725 | + | 0.624875i | \(0.214850\pi\) | ||||
−0.780725 | + | 0.624875i | \(0.785150\pi\) | |||||||
\(102\) | 16.6468 | + | 30.4653i | 0.163204 | + | 0.298679i | ||||
\(103\) | −17.3533 | + | 34.0578i | −0.168479 | + | 0.330658i | −0.959773 | − | 0.280777i | \(-0.909408\pi\) |
0.791294 | + | 0.611436i | \(0.209408\pi\) | |||||||
\(104\) | 48.6118 | − | 136.270i | 0.467421 | − | 1.31028i | ||||
\(105\) | −9.40525 | − | 71.3456i | −0.0895738 | − | 0.679482i | ||||
\(106\) | 52.4443 | − | 88.8754i | 0.494757 | − | 0.838447i | ||||
\(107\) | −61.7494 | − | 61.7494i | −0.577097 | − | 0.577097i | 0.357005 | − | 0.934102i | \(-0.383798\pi\) |
−0.934102 | + | 0.357005i | \(0.883798\pi\) | |||||||
\(108\) | 106.813 | − | 15.9694i | 0.989008 | − | 0.147865i | ||||
\(109\) | −90.4171 | − | 124.448i | −0.829514 | − | 1.14173i | −0.988013 | − | 0.154369i | \(-0.950665\pi\) |
0.158499 | − | 0.987359i | \(-0.449335\pi\) | |||||||
\(110\) | −92.3437 | + | 12.5973i | −0.839488 | + | 0.114521i | ||||
\(111\) | −149.386 | − | 9.92933i | −1.34582 | − | 0.0894534i | ||||
\(112\) | −65.9185 | + | 39.3307i | −0.588558 | + | 0.351167i | ||||
\(113\) | 43.7662 | + | 6.93188i | 0.387311 | + | 0.0613441i | 0.347054 | − | 0.937845i | \(-0.387182\pi\) |
0.0402575 | + | 0.999189i | \(0.487182\pi\) | |||||||
\(114\) | −36.7422 | + | 125.267i | −0.322300 | + | 1.09883i | ||||
\(115\) | −21.5880 | + | 32.3852i | −0.187722 | + | 0.281610i | ||||
\(116\) | −24.5969 | − | 127.594i | −0.212042 | − | 1.09995i | ||||
\(117\) | −3.96134 | − | 162.718i | −0.0338576 | − | 1.39075i | ||||
\(118\) | −76.6982 | − | 120.598i | −0.649985 | − | 1.02202i | ||||
\(119\) | −26.4004 | − | 8.57801i | −0.221852 | − | 0.0720841i | ||||
\(120\) | −89.3498 | + | 80.1038i | −0.744582 | + | 0.667532i | ||||
\(121\) | −10.5497 | − | 32.4686i | −0.0871876 | − | 0.268336i | ||||
\(122\) | 141.850 | + | 117.117i | 1.16271 | + | 0.959973i | ||||
\(123\) | −13.8128 | − | 15.7797i | −0.112299 | − | 0.128290i | ||||
\(124\) | −183.300 | − | 85.8196i | −1.47822 | − | 0.692093i | ||||
\(125\) | 98.4174 | + | 77.0650i | 0.787339 | + | 0.616520i | ||||
\(126\) | −53.3434 | + | 67.9098i | −0.423360 | + | 0.538967i | ||||
\(127\) | 206.636 | − | 32.7279i | 1.62706 | − | 0.257700i | 0.724818 | − | 0.688940i | \(-0.241924\pi\) |
0.902237 | + | 0.431240i | \(0.141924\pi\) | |||||||
\(128\) | 116.186 | + | 53.7107i | 0.907702 | + | 0.419615i | ||||
\(129\) | −95.0117 | − | 79.1684i | −0.736525 | − | 0.613708i | ||||
\(130\) | 103.132 | + | 148.563i | 0.793320 | + | 1.14279i | ||||
\(131\) | −55.7879 | + | 171.698i | −0.425862 | + | 1.31067i | 0.476304 | + | 0.879280i | \(0.341976\pi\) |
−0.902166 | + | 0.431388i | \(0.858024\pi\) | |||||||
\(132\) | 88.2605 | + | 68.6876i | 0.668640 | + | 0.520360i | ||||
\(133\) | −47.3881 | − | 93.0043i | −0.356301 | − | 0.699280i | ||||
\(134\) | 40.6474 | + | 93.6807i | 0.303339 | + | 0.699110i | ||||
\(135\) | −61.4894 | + | 120.183i | −0.455477 | + | 0.890248i | ||||
\(136\) | 13.0437 | + | 44.4131i | 0.0959098 | + | 0.326567i | ||||
\(137\) | −19.4886 | + | 123.046i | −0.142253 | + | 0.898148i | 0.808567 | + | 0.588404i | \(0.200243\pi\) |
−0.950820 | + | 0.309744i | \(0.899757\pi\) | |||||||
\(138\) | 45.9002 | − | 8.63391i | 0.332610 | − | 0.0625645i | ||||
\(139\) | −96.9088 | − | 70.4084i | −0.697186 | − | 0.506535i | 0.181829 | − | 0.983330i | \(-0.441798\pi\) |
−0.879014 | + | 0.476795i | \(0.841798\pi\) | |||||||
\(140\) | 7.98910 | − | 95.6173i | 0.0570650 | − | 0.682980i | ||||
\(141\) | 36.0754 | − | 90.1827i | 0.255854 | − | 0.639593i | ||||
\(142\) | 14.4392 | + | 56.0109i | 0.101684 | + | 0.394443i | ||||
\(143\) | 119.184 | − | 119.184i | 0.833452 | − | 0.833452i | ||||
\(144\) | 143.686 | + | 9.50010i | 0.997821 | + | 0.0659729i | ||||
\(145\) | 147.583 | + | 67.8414i | 1.01781 | + | 0.467872i | ||||
\(146\) | −112.240 | + | 10.7199i | −0.768767 | + | 0.0734237i | ||||
\(147\) | 7.06126 | + | 77.6309i | 0.0480358 | + | 0.528101i | ||||
\(148\) | −191.803 | − | 55.3199i | −1.29597 | − | 0.373783i | ||||
\(149\) | 27.9201 | 0.187383 | 0.0936917 | − | 0.995601i | \(-0.470133\pi\) | ||||
0.0936917 | + | 0.995601i | \(0.470133\pi\) | |||||||
\(150\) | −16.4029 | − | 149.100i | −0.109353 | − | 0.994003i | ||||
\(151\) | 62.3312i | 0.412790i | 0.978469 | + | 0.206395i | \(0.0661731\pi\) | ||||
−0.978469 | + | 0.206395i | \(0.933827\pi\) | |||||||
\(152\) | −83.4083 | + | 152.772i | −0.548739 | + | 1.00508i | ||||
\(153\) | 31.6252 | + | 41.3722i | 0.206701 | + | 0.270406i | ||||
\(154\) | −89.0197 | + | 8.50212i | −0.578050 | + | 0.0552086i | ||||
\(155\) | 220.601 | − | 123.859i | 1.42323 | − | 0.799090i | ||||
\(156\) | 41.0055 | − | 213.112i | 0.262856 | − | 1.36610i | ||||
\(157\) | 39.3455 | + | 39.3455i | 0.250608 | + | 0.250608i | 0.821220 | − | 0.570612i | \(-0.193294\pi\) |
−0.570612 | + | 0.821220i | \(0.693294\pi\) | |||||||
\(158\) | −69.1807 | − | 268.358i | −0.437853 | − | 1.69847i | ||||
\(159\) | 57.4918 | − | 143.720i | 0.361584 | − | 0.903900i | ||||
\(160\) | −139.132 | + | 79.0086i | −0.869573 | + | 0.493804i | ||||
\(161\) | −21.9507 | + | 30.2126i | −0.136340 | + | 0.187656i | ||||
\(162\) | 154.718 | − | 48.0258i | 0.955047 | − | 0.296456i | ||||
\(163\) | 71.5174 | + | 11.3272i | 0.438757 | + | 0.0694922i | 0.371905 | − | 0.928271i | \(-0.378705\pi\) |
0.0668515 | + | 0.997763i | \(0.478705\pi\) | |||||||
\(164\) | −13.5182 | − | 24.4768i | −0.0824282 | − | 0.149249i | ||||
\(165\) | −134.035 | + | 39.7278i | −0.812331 | + | 0.240775i | ||||
\(166\) | 103.348 | + | 238.188i | 0.622579 | + | 1.43487i | ||||
\(167\) | 12.4460 | − | 6.34153i | 0.0745267 | − | 0.0379733i | −0.416330 | − | 0.909214i | \(-0.636684\pi\) |
0.490857 | + | 0.871240i | \(0.336684\pi\) | |||||||
\(168\) | −88.7630 | + | 73.3381i | −0.528351 | + | 0.436536i | ||||
\(169\) | −150.334 | − | 48.8464i | −0.889549 | − | 0.289032i | ||||
\(170\) | −54.6322 | − | 19.0589i | −0.321366 | − | 0.112111i | ||||
\(171\) | −25.9162 | + | 194.093i | −0.151557 | + | 1.13505i | ||||
\(172\) | −101.319 | − | 130.097i | −0.589065 | − | 0.756379i | ||||
\(173\) | 0.789256 | + | 4.98316i | 0.00456217 | + | 0.0288044i | 0.989864 | − | 0.142016i | \(-0.0453583\pi\) |
−0.985302 | + | 0.170820i | \(0.945358\pi\) | |||||||
\(174\) | −65.5541 | − | 183.560i | −0.376748 | − | 1.05494i | ||||
\(175\) | 91.3714 | + | 77.6943i | 0.522122 | + | 0.443968i | ||||
\(176\) | 95.4975 | + | 114.527i | 0.542599 | + | 0.650723i | ||||
\(177\) | −141.203 | − | 161.311i | −0.797759 | − | 0.911360i | ||||
\(178\) | 82.0428 | + | 67.7376i | 0.460915 | + | 0.380548i | ||||
\(179\) | 42.3591 | − | 13.7633i | 0.236643 | − | 0.0768899i | −0.188295 | − | 0.982113i | \(-0.560296\pi\) |
0.424938 | + | 0.905223i | \(0.360296\pi\) | |||||||
\(180\) | −114.207 | + | 139.129i | −0.634482 | + | 0.772938i | ||||
\(181\) | −47.7971 | + | 147.104i | −0.264072 | + | 0.812731i | 0.727833 | + | 0.685754i | \(0.240527\pi\) |
−0.991906 | + | 0.126977i | \(0.959473\pi\) | |||||||
\(182\) | 93.1228 | + | 146.423i | 0.511664 | + | 0.804524i | ||||
\(183\) | 237.003 | + | 141.297i | 1.29510 | + | 0.772115i | ||||
\(184\) | 62.2482 | + | 1.77460i | 0.338306 | + | 0.00964458i | ||||
\(185\) | 195.789 | − | 154.694i | 1.05832 | − | 0.836185i | ||||
\(186\) | −291.320 | − | 85.4475i | −1.56624 | − | 0.459395i | ||||
\(187\) | −8.43589 | + | 53.2621i | −0.0451117 | + | 0.284824i | ||||
\(188\) | 72.5857 | − | 107.254i | 0.386094 | − | 0.570502i | ||||
\(189\) | −63.6043 | + | 112.842i | −0.336531 | + | 0.597048i | ||||
\(190\) | −94.5858 | − | 195.938i | −0.497820 | − | 1.03125i | ||||
\(191\) | −238.390 | + | 173.201i | −1.24812 | + | 0.906810i | −0.998111 | − | 0.0614346i | \(-0.980432\pi\) |
−0.250005 | + | 0.968244i | \(0.580432\pi\) | |||||||
\(192\) | 184.499 | + | 53.1435i | 0.960931 | + | 0.276789i | ||||
\(193\) | 25.8497 | − | 25.8497i | 0.133936 | − | 0.133936i | −0.636960 | − | 0.770897i | \(-0.719808\pi\) |
0.770897 | + | 0.636960i | \(0.219808\pi\) | |||||||
\(194\) | 8.44383 | − | 14.3095i | 0.0435249 | − | 0.0737601i | ||||
\(195\) | 186.768 | + | 196.745i | 0.957784 | + | 1.00895i | ||||
\(196\) | −12.8261 | + | 103.141i | −0.0654393 | + | 0.526228i | ||||
\(197\) | 196.561 | + | 100.153i | 0.997774 | + | 0.508391i | 0.875041 | − | 0.484049i | \(-0.160834\pi\) |
0.122733 | + | 0.992440i | \(0.460834\pi\) | |||||||
\(198\) | 146.511 | + | 81.7139i | 0.739957 | + | 0.412697i | ||||
\(199\) | −243.543 | −1.22383 | −0.611917 | − | 0.790922i | \(-0.709601\pi\) | ||||
−0.611917 | + | 0.790922i | \(0.709601\pi\) | |||||||
\(200\) | 20.9333 | − | 198.901i | 0.104666 | − | 0.994507i | ||||
\(201\) | 81.6191 | + | 129.622i | 0.406065 | + | 0.644888i | ||||
\(202\) | −15.6066 | + | 251.967i | −0.0772604 | + | 1.24736i | ||||
\(203\) | 138.864 | + | 70.7549i | 0.684061 | + | 0.348546i | ||||
\(204\) | 29.4631 | + | 62.8723i | 0.144427 | + | 0.308197i | ||||
\(205\) | 34.7143 | + | 4.07030i | 0.169338 | + | 0.0198551i | ||||
\(206\) | −38.8512 | + | 65.8398i | −0.188598 | + | 0.319611i | ||||
\(207\) | 66.0822 | − | 23.2642i | 0.319238 | − | 0.112387i | ||||
\(208\) | 113.886 | − | 266.007i | 0.547530 | − | 1.27888i | ||||
\(209\) | −164.049 | + | 119.189i | −0.784924 | + | 0.570281i | ||||
\(210\) | −9.95325 | − | 143.581i | −0.0473964 | − | 0.683719i | ||||
\(211\) | 102.253 | − | 140.739i | 0.484612 | − | 0.667012i | −0.494771 | − | 0.869024i | \(-0.664748\pi\) |
0.979383 | + | 0.202012i | \(0.0647480\pi\) | |||||||
\(212\) | 115.677 | − | 170.927i | 0.545644 | − | 0.806257i | ||||
\(213\) | 34.1759 | + | 79.7487i | 0.160450 | + | 0.374407i | ||||
\(214\) | −115.628 | − | 130.897i | −0.540317 | − | 0.611670i | ||||
\(215\) | 205.953 | − | 8.31698i | 0.957920 | − | 0.0386836i | ||||
\(216\) | 215.192 | − | 18.6713i | 0.996257 | − | 0.0864411i | ||||
\(217\) | 216.291 | − | 110.206i | 0.996731 | − | 0.507860i | ||||
\(218\) | −165.101 | − | 259.600i | −0.757345 | − | 1.19083i | ||||
\(219\) | −163.961 | + | 41.4802i | −0.748678 | + | 0.189407i | ||||
\(220\) | −185.892 | + | 13.7289i | −0.844962 | + | 0.0624040i | ||||
\(221\) | 99.5208 | − | 32.3363i | 0.450321 | − | 0.146318i | ||||
\(222\) | −296.974 | − | 38.2910i | −1.33772 | − | 0.172482i | ||||
\(223\) | 12.7276 | + | 80.3590i | 0.0570745 | + | 0.360354i | 0.999652 | + | 0.0263676i | \(0.00839405\pi\) |
−0.942578 | + | 0.333987i | \(0.891606\pi\) | |||||||
\(224\) | −136.448 | + | 70.3607i | −0.609142 | + | 0.314110i | ||||
\(225\) | −58.3087 | − | 217.313i | −0.259150 | − | 0.965837i | ||||
\(226\) | 86.5078 | + | 19.2486i | 0.382778 | + | 0.0851706i | ||||
\(227\) | −9.47489 | − | 59.8221i | −0.0417396 | − | 0.263533i | 0.957990 | − | 0.286803i | \(-0.0925925\pi\) |
−0.999729 | + | 0.0232694i | \(0.992592\pi\) | |||||||
\(228\) | −88.8319 | + | 245.511i | −0.389614 | + | 1.07680i | ||||
\(229\) | 293.454 | − | 95.3488i | 1.28146 | − | 0.416370i | 0.412364 | − | 0.911019i | \(-0.364703\pi\) |
0.869093 | + | 0.494649i | \(0.164703\pi\) | |||||||
\(230\) | −47.0975 | + | 61.9773i | −0.204772 | + | 0.269466i | ||||
\(231\) | −130.040 | + | 32.8987i | −0.562945 | + | 0.142419i | ||||
\(232\) | −33.3239 | − | 257.741i | −0.143637 | − | 1.11095i | ||||
\(233\) | 229.890 | − | 117.135i | 0.986653 | − | 0.502725i | 0.115273 | − | 0.993334i | \(-0.463226\pi\) |
0.871380 | + | 0.490609i | \(0.163226\pi\) | |||||||
\(234\) | 12.2111 | − | 325.302i | 0.0521842 | − | 1.39018i | ||||
\(235\) | 56.1966 | + | 151.817i | 0.239135 | + | 0.646031i | ||||
\(236\) | −138.192 | − | 250.217i | −0.585560 | − | 1.06024i | ||||
\(237\) | −163.743 | − | 382.091i | −0.690898 | − | 1.61220i | ||||
\(238\) | −51.6392 | − | 20.3874i | −0.216971 | − | 0.0856613i | ||||
\(239\) | −260.622 | + | 358.716i | −1.09047 | + | 1.50090i | −0.243024 | + | 0.970020i | \(0.578139\pi\) |
−0.847445 | + | 0.530883i | \(0.821861\pi\) | |||||||
\(240\) | −188.262 | + | 148.854i | −0.784425 | + | 0.620224i | ||||
\(241\) | −267.568 | + | 194.400i | −1.11024 | + | 0.806637i | −0.982702 | − | 0.185196i | \(-0.940708\pi\) |
−0.127539 | + | 0.991834i | \(0.540708\pi\) | |||||||
\(242\) | −17.0446 | − | 66.1175i | −0.0704321 | − | 0.273213i | ||||
\(243\) | 218.432 | − | 106.473i | 0.898898 | − | 0.438159i | ||||
\(244\) | 268.677 | + | 251.324i | 1.10114 | + | 1.03002i | ||||
\(245\) | −95.4986 | − | 88.0849i | −0.389790 | − | 0.359530i | ||||
\(246\) | −25.6217 | − | 33.2069i | −0.104153 | − | 0.134988i | ||||
\(247\) | 350.596 | + | 178.637i | 1.41942 | + | 0.723228i | ||||
\(248\) | −355.287 | − | 193.974i | −1.43261 | − | 0.782154i | ||||
\(249\) | 207.521 | + | 329.572i | 0.833416 | + | 1.32358i | ||||
\(250\) | 186.930 | + | 166.004i | 0.747720 | + | 0.664015i | ||||
\(251\) | 76.7166 | 0.305644 | 0.152822 | − | 0.988254i | \(-0.451164\pi\) | ||||
0.152822 | + | 0.988254i | \(0.451164\pi\) | |||||||
\(252\) | −114.879 | + | 128.964i | −0.455869 | + | 0.511763i | ||||
\(253\) | 64.6406 | + | 32.9360i | 0.255496 | + | 0.130182i | ||||
\(254\) | 416.528 | − | 39.7819i | 1.63987 | − | 0.156622i | ||||
\(255\) | −85.3411 | − | 15.8019i | −0.334671 | − | 0.0619684i | ||||
\(256\) | 225.286 | + | 121.581i | 0.880025 | + | 0.474927i | ||||
\(257\) | 180.775 | − | 180.775i | 0.703404 | − | 0.703404i | −0.261736 | − | 0.965140i | \(-0.584295\pi\) |
0.965140 | + | 0.261736i | \(0.0842948\pi\) | |||||||
\(258\) | −179.871 | − | 169.781i | −0.697176 | − | 0.658067i | ||||
\(259\) | 193.696 | − | 140.729i | 0.747863 | − | 0.543354i | ||||
\(260\) | 187.500 | + | 309.309i | 0.721154 | + | 1.18965i | ||||
\(261\) | −139.035 | − | 257.198i | −0.532700 | − | 0.985431i | ||||
\(262\) | −132.591 | + | 335.841i | −0.506074 | + | 1.28183i | ||||
\(263\) | −53.9303 | + | 340.503i | −0.205058 | + | 1.29469i | 0.643443 | + | 0.765494i | \(0.277505\pi\) |
−0.848501 | + | 0.529193i | \(0.822495\pi\) | |||||||
\(264\) | 167.691 | + | 148.025i | 0.635192 | + | 0.560701i | ||||
\(265\) | 89.5581 | + | 241.944i | 0.337955 | + | 0.912998i | ||||
\(266\) | −83.0957 | − | 191.512i | −0.312390 | − | 0.719970i | ||||
\(267\) | 137.077 | + | 81.7229i | 0.513396 | + | 0.306078i | ||||
\(268\) | 69.5565 | + | 192.029i | 0.259539 | + | 0.716525i | ||||
\(269\) | −97.1892 | + | 299.118i | −0.361298 | + | 1.11196i | 0.590968 | + | 0.806695i | \(0.298746\pi\) |
−0.952267 | + | 0.305267i | \(0.901254\pi\) | |||||||
\(270\) | −137.603 | + | 232.304i | −0.509641 | + | 0.860387i | ||||
\(271\) | −11.1722 | + | 3.63007i | −0.0412259 | + | 0.0133951i | −0.329557 | − | 0.944136i | \(-0.606899\pi\) |
0.288331 | + | 0.957531i | \(0.406899\pi\) | |||||||
\(272\) | 20.5463 | + | 90.2691i | 0.0755377 | + | 0.331872i | ||||
\(273\) | 171.442 | + | 195.855i | 0.627991 | + | 0.717417i | ||||
\(274\) | −54.1163 | + | 243.212i | −0.197505 | + | 0.887636i | ||||
\(275\) | 121.307 | − | 198.928i | 0.441116 | − | 0.723375i | ||||
\(276\) | 92.6922 | − | 11.5596i | 0.335841 | − | 0.0418827i | ||||
\(277\) | 35.2587 | + | 222.615i | 0.127288 | + | 0.803663i | 0.965896 | + | 0.258929i | \(0.0833695\pi\) |
−0.838609 | + | 0.544734i | \(0.816630\pi\) | |||||||
\(278\) | −184.742 | − | 152.529i | −0.664538 | − | 0.548667i | ||||
\(279\) | −451.383 | − | 60.2708i | −1.61786 | − | 0.216024i | ||||
\(280\) | 27.7699 | − | 189.881i | 0.0991781 | − | 0.678146i | ||||
\(281\) | 64.6904 | + | 21.0192i | 0.230215 | + | 0.0748013i | 0.421853 | − | 0.906664i | \(-0.361380\pi\) |
−0.191638 | + | 0.981466i | \(0.561380\pi\) | |||||||
\(282\) | 83.1632 | − | 175.560i | 0.294905 | − | 0.622553i | ||||
\(283\) | 4.75346 | − | 2.42201i | 0.0167967 | − | 0.00855834i | −0.445572 | − | 0.895246i | \(-0.647000\pi\) |
0.462369 | + | 0.886688i | \(0.347000\pi\) | |||||||
\(284\) | 21.8979 | + | 113.593i | 0.0771051 | + | 0.399975i | ||||
\(285\) | −184.898 | − | 268.930i | −0.648765 | − | 0.943614i | ||||
\(286\) | 252.647 | − | 223.175i | 0.883382 | − | 0.780333i | ||||
\(287\) | 33.1238 | + | 5.24629i | 0.115414 | + | 0.0182798i | ||||
\(288\) | 285.648 | + | 36.7294i | 0.991834 | + | 0.127533i | ||||
\(289\) | 150.191 | − | 206.721i | 0.519693 | − | 0.715297i | ||||
\(290\) | 286.213 | + | 153.671i | 0.986941 | + | 0.529899i | ||||
\(291\) | 9.25652 | − | 23.1398i | 0.0318094 | − | 0.0795181i | ||||
\(292\) | −225.376 | + | 7.52119i | −0.771836 | + | 0.0257575i | ||||
\(293\) | −115.520 | − | 115.520i | −0.394266 | − | 0.394266i | 0.481939 | − | 0.876205i | \(-0.339933\pi\) |
−0.876205 | + | 0.481939i | \(0.839933\pi\) | |||||||
\(294\) | 4.49712 | + | 155.838i | 0.0152963 | + | 0.530061i | ||||
\(295\) | 354.872 | + | 41.6093i | 1.20296 | + | 0.141048i | ||||
\(296\) | −376.032 | − | 134.143i | −1.27038 | − | 0.453186i | ||||
\(297\) | 235.843 | + | 87.7471i | 0.794083 | + | 0.295445i | ||||
\(298\) | 55.7335 | + | 3.45208i | 0.187025 | + | 0.0115842i | ||||
\(299\) | − | 140.778i | − | 0.470828i | ||||||
\(300\) | −14.3081 | − | 299.659i | −0.0476935 | − | 0.998862i | ||||
\(301\) | 197.774 | 0.657055 | ||||||||
\(302\) | −7.70672 | + | 124.424i | −0.0255189 | + | 0.412000i | ||||
\(303\) | 34.3024 | + | 377.117i | 0.113209 | + | 1.24461i | ||||
\(304\) | −185.387 | + | 294.648i | −0.609824 | + | 0.969236i | ||||
\(305\) | −450.942 | + | 90.2095i | −1.47850 | + | 0.295769i | ||||
\(306\) | 58.0141 | + | 86.4963i | 0.189589 | + | 0.282668i | ||||
\(307\) | 51.6609 | − | 51.6609i | 0.168276 | − | 0.168276i | −0.617945 | − | 0.786221i | \(-0.712035\pi\) |
0.786221 | + | 0.617945i | \(0.212035\pi\) | |||||||
\(308\) | −178.750 | + | 5.96520i | −0.580357 | + | 0.0193675i | ||||
\(309\) | −42.5905 | + | 106.469i | −0.137833 | + | 0.344561i | ||||
\(310\) | 455.672 | − | 219.969i | 1.46991 | − | 0.709576i | ||||
\(311\) | −365.427 | − | 265.498i | −1.17501 | − | 0.853692i | −0.183407 | − | 0.983037i | \(-0.558713\pi\) |
−0.991600 | + | 0.129345i | \(0.958713\pi\) | |||||||
\(312\) | 108.204 | − | 420.338i | 0.346807 | − | 1.34724i | ||||
\(313\) | 44.9793 | − | 283.988i | 0.143704 | − | 0.907310i | −0.805488 | − | 0.592612i | \(-0.798097\pi\) |
0.949192 | − | 0.314698i | \(-0.101903\pi\) | |||||||
\(314\) | 73.6758 | + | 83.4053i | 0.234636 | + | 0.265622i | ||||
\(315\) | −47.4884 | − | 210.601i | −0.150757 | − | 0.668574i | ||||
\(316\) | −104.917 | − | 544.244i | −0.332015 | − | 1.72229i | ||||
\(317\) | 221.278 | + | 434.282i | 0.698038 | + | 1.36998i | 0.918829 | + | 0.394655i | \(0.129136\pi\) |
−0.220792 | + | 0.975321i | \(0.570864\pi\) | |||||||
\(318\) | 132.534 | − | 279.782i | 0.416772 | − | 0.879818i | ||||
\(319\) | 93.5592 | − | 287.946i | 0.293289 | − | 0.902651i | ||||
\(320\) | −287.500 | + | 140.512i | −0.898437 | + | 0.439102i | ||||
\(321\) | −201.267 | − | 167.706i | −0.627001 | − | 0.522448i | ||||
\(322\) | −47.5530 | + | 57.5956i | −0.147680 | + | 0.178868i | ||||
\(323\) | −124.340 | + | 19.6936i | −0.384955 | + | 0.0609709i | ||||
\(324\) | 314.781 | − | 76.7384i | 0.971547 | − | 0.236847i | ||||
\(325\) | −450.810 | − | 34.4898i | −1.38711 | − | 0.106122i | ||||
\(326\) | 141.361 | + | 31.4536i | 0.433621 | + | 0.0964836i | ||||
\(327\) | −303.956 | − | 347.239i | −0.929528 | − | 1.06189i | ||||
\(328\) | −23.9584 | − | 50.5313i | −0.0730439 | − | 0.154059i | ||||
\(329\) | 47.9992 | + | 147.726i | 0.145894 | + | 0.449016i | ||||
\(330\) | −272.469 | + | 62.7315i | −0.825663 | + | 0.190095i | ||||
\(331\) | −410.627 | − | 133.421i | −1.24057 | − | 0.403084i | −0.386035 | − | 0.922484i | \(-0.626155\pi\) |
−0.854531 | + | 0.519400i | \(0.826155\pi\) | |||||||
\(332\) | 176.851 | + | 488.243i | 0.532683 | + | 1.47061i | ||||
\(333\) | −449.015 | + | 10.9312i | −1.34839 | + | 0.0328265i | ||||
\(334\) | 25.6284 | − | 11.1200i | 0.0767317 | − | 0.0332933i | ||||
\(335\) | −245.788 | − | 69.0299i | −0.733695 | − | 0.206059i | ||||
\(336\) | −186.254 | + | 135.421i | −0.554328 | + | 0.403038i | ||||
\(337\) | −320.682 | − | 50.7910i | −0.951578 | − | 0.150715i | −0.338702 | − | 0.940894i | \(-0.609988\pi\) |
−0.612877 | + | 0.790179i | \(0.709988\pi\) | |||||||
\(338\) | −294.053 | − | 116.093i | −0.869979 | − | 0.343472i | ||||
\(339\) | 132.642 | + | 8.81640i | 0.391276 | + | 0.0260071i | ||||
\(340\) | −106.699 | − | 44.7998i | −0.313820 | − | 0.131764i | ||||
\(341\) | −277.185 | − | 381.512i | −0.812859 | − | 1.11880i | ||||
\(342\) | −75.7313 | + | 384.240i | −0.221437 | + | 1.12351i | ||||
\(343\) | −254.372 | − | 254.372i | −0.741609 | − | 0.741609i | ||||
\(344\) | −186.166 | − | 272.224i | −0.541179 | − | 0.791348i | ||||
\(345\) | −55.6968 | + | 102.623i | −0.161440 | + | 0.297457i | ||||
\(346\) | 0.959367 | + | 10.0449i | 0.00277274 | + | 0.0290314i | ||||
\(347\) | 167.897 | − | 329.517i | 0.483853 | − | 0.949615i | −0.512030 | − | 0.858968i | \(-0.671106\pi\) |
0.995883 | − | 0.0906477i | \(-0.0288937\pi\) | |||||||
\(348\) | −108.162 | − | 374.523i | −0.310810 | − | 1.07622i | ||||
\(349\) | 539.768i | 1.54661i | 0.634032 | + | 0.773306i | \(0.281399\pi\) | ||||
−0.634032 | + | 0.773306i | \(0.718601\pi\) | |||||||
\(350\) | 172.787 | + | 166.389i | 0.493677 | + | 0.475396i | ||||
\(351\) | −56.0547 | − | 485.069i | −0.159700 | − | 1.38196i | ||||
\(352\) | 176.469 | + | 240.424i | 0.501333 | + | 0.683023i | ||||
\(353\) | 5.72344 | − | 11.2329i | 0.0162137 | − | 0.0318212i | −0.882758 | − | 0.469829i | \(-0.844316\pi\) |
0.898971 | + | 0.438008i | \(0.144316\pi\) | |||||||
\(354\) | −261.922 | − | 339.463i | −0.739892 | − | 0.958935i | ||||
\(355\) | −131.388 | − | 60.3971i | −0.370108 | − | 0.170133i | ||||
\(356\) | 155.397 | + | 145.360i | 0.436508 | + | 0.408314i | ||||
\(357\) | −81.2067 | − | 18.4537i | −0.227470 | − | 0.0516912i | ||||
\(358\) | 86.2578 | − | 22.2366i | 0.240944 | − | 0.0621134i | ||||
\(359\) | −25.3285 | − | 34.8617i | −0.0705529 | − | 0.0971077i | 0.772282 | − | 0.635280i | \(-0.219115\pi\) |
−0.842835 | + | 0.538172i | \(0.819115\pi\) | |||||||
\(360\) | −245.179 | + | 263.605i | −0.681052 | + | 0.732235i | ||||
\(361\) | −90.9177 | − | 66.0556i | −0.251850 | − | 0.182979i | ||||
\(362\) | −113.600 | + | 287.736i | −0.313811 | + | 0.794851i | ||||
\(363\) | −40.3425 | − | 94.1385i | −0.111136 | − | 0.259335i | ||||
\(364\) | 167.785 | + | 303.801i | 0.460949 | + | 0.834617i | ||||
\(365\) | 156.347 | − | 234.543i | 0.428347 | − | 0.642583i | ||||
\(366\) | 455.628 | + | 311.357i | 1.24489 | + | 0.850702i | ||||
\(367\) | −291.537 | − | 572.174i | −0.794379 | − | 1.55906i | −0.828732 | − | 0.559646i | \(-0.810937\pi\) |
0.0343529 | − | 0.999410i | \(-0.489063\pi\) | |||||||
\(368\) | 124.039 | + | 11.2389i | 0.337062 | + | 0.0305404i | ||||
\(369\) | −45.5563 | − | 43.3909i | −0.123459 | − | 0.117590i | ||||
\(370\) | 409.955 | − | 284.589i | 1.10799 | − | 0.769160i | ||||
\(371\) | 76.4942 | + | 235.425i | 0.206184 | + | 0.634569i | ||||
\(372\) | −570.960 | − | 206.587i | −1.53484 | − | 0.555342i | ||||
\(373\) | 470.462 | − | 74.5139i | 1.26129 | − | 0.199769i | 0.510252 | − | 0.860025i | \(-0.329552\pi\) |
0.751040 | + | 0.660256i | \(0.229552\pi\) | |||||||
\(374\) | −23.4249 | + | 105.277i | −0.0626334 | + | 0.281490i | ||||
\(375\) | 314.981 | + | 203.499i | 0.839950 | + | 0.542664i | ||||
\(376\) | 158.155 | − | 205.124i | 0.420624 | − | 0.545542i | ||||
\(377\) | −580.274 | + | 91.9064i | −1.53919 | + | 0.243784i | ||||
\(378\) | −140.917 | + | 217.388i | −0.372797 | + | 0.575101i | ||||
\(379\) | −0.168440 | − | 0.518404i | −0.000444431 | − | 0.00136782i | 0.950834 | − | 0.309701i | \(-0.100229\pi\) |
−0.951278 | + | 0.308333i | \(0.900229\pi\) | |||||||
\(380\) | −164.584 | − | 402.821i | −0.433115 | − | 1.06005i | ||||
\(381\) | 608.466 | − | 153.935i | 1.59702 | − | 0.404028i | ||||
\(382\) | −497.283 | + | 316.264i | −1.30179 | + | 0.827916i | ||||
\(383\) | −159.991 | − | 314.000i | −0.417731 | − | 0.819844i | −0.999977 | − | 0.00683074i | \(-0.997826\pi\) |
0.582245 | − | 0.813013i | \(-0.302174\pi\) | |||||||
\(384\) | 361.721 | + | 128.895i | 0.941981 | + | 0.335665i | ||||
\(385\) | 124.002 | − | 186.020i | 0.322082 | − | 0.483170i | ||||
\(386\) | 54.7967 | − | 48.4045i | 0.141960 | − | 0.125400i | ||||
\(387\) | −305.378 | − | 210.709i | −0.789090 | − | 0.544467i | ||||
\(388\) | 18.6246 | − | 27.5202i | 0.0480016 | − | 0.0709283i | ||||
\(389\) | −13.5075 | − | 9.81376i | −0.0347236 | − | 0.0252282i | 0.570288 | − | 0.821445i | \(-0.306832\pi\) |
−0.605012 | + | 0.796217i | \(0.706832\pi\) | |||||||
\(390\) | 348.496 | + | 415.829i | 0.893578 | + | 1.06623i | ||||
\(391\) | 26.4740 | + | 36.4383i | 0.0677084 | + | 0.0931926i | ||||
\(392\) | −38.3556 | + | 204.301i | −0.0978459 | + | 0.521176i | ||||
\(393\) | −120.016 | + | 528.136i | −0.305384 | + | 1.34386i | ||||
\(394\) | 379.988 | + | 224.226i | 0.964436 | + | 0.569102i | ||||
\(395\) | 629.505 | + | 289.373i | 1.59368 | + | 0.732591i | ||||
\(396\) | 282.359 | + | 181.230i | 0.713029 | + | 0.457652i | ||||
\(397\) | −69.4143 | + | 136.233i | −0.174847 | + | 0.343157i | −0.961754 | − | 0.273915i | \(-0.911681\pi\) |
0.786907 | + | 0.617072i | \(0.211681\pi\) | |||||||
\(398\) | −486.154 | − | 30.1120i | −1.22149 | − | 0.0756583i | ||||
\(399\) | −166.854 | − | 264.988i | −0.418181 | − | 0.664130i | ||||
\(400\) | 66.3789 | − | 394.454i | 0.165947 | − | 0.986135i | ||||
\(401\) | − | 687.182i | − | 1.71367i | −0.515589 | − | 0.856836i | \(-0.672427\pi\) | ||
0.515589 | − | 0.856836i | \(-0.327573\pi\) | |||||||
\(402\) | 146.899 | + | 268.841i | 0.365421 | + | 0.668758i | ||||
\(403\) | −415.439 | + | 815.345i | −1.03087 | + | 2.02319i | ||||
\(404\) | −62.3070 | + | 501.040i | −0.154225 | + | 1.24020i | ||||
\(405\) | −151.049 | + | 375.778i | −0.372961 | + | 0.927847i | ||||
\(406\) | 268.449 | + | 158.409i | 0.661205 | + | 0.390169i | ||||
\(407\) | −328.884 | − | 328.884i | −0.808069 | − | 0.808069i | ||||
\(408\) | 51.0399 | + | 129.147i | 0.125098 | + | 0.316537i | ||||
\(409\) | −344.210 | − | 473.764i | −0.841588 | − | 1.15835i | −0.985654 | − | 0.168779i | \(-0.946018\pi\) |
0.144066 | − | 0.989568i | \(-0.453982\pi\) | |||||||
\(410\) | 68.7925 | + | 12.4172i | 0.167787 | + | 0.0302857i | ||||
\(411\) | −24.7869 | + | 372.917i | −0.0603086 | + | 0.907342i | ||||
\(412\) | −85.6944 | + | 126.624i | −0.207996 | + | 0.307340i | ||||
\(413\) | 338.613 | + | 53.6310i | 0.819886 | + | 0.129857i | ||||
\(414\) | 134.788 | − | 38.2689i | 0.325575 | − | 0.0924370i | ||||
\(415\) | −624.928 | − | 175.512i | −1.50585 | − | 0.422921i | ||||
\(416\) | 260.226 | − | 516.916i | 0.625544 | − | 1.24259i | ||||
\(417\) | −308.665 | − | 184.021i | −0.740204 | − | 0.441298i | ||||
\(418\) | −342.207 | + | 217.638i | −0.818678 | + | 0.520665i | ||||
\(419\) | −238.877 | − | 77.6160i | −0.570113 | − | 0.185241i | 0.00975339 | − | 0.999952i | \(-0.496895\pi\) |
−0.579867 | + | 0.814711i | \(0.696895\pi\) | |||||||
\(420\) | −2.11586 | − | 287.844i | −0.00503777 | − | 0.685342i | ||||
\(421\) | 135.860 | + | 418.135i | 0.322709 | + | 0.993195i | 0.972464 | + | 0.233052i | \(0.0748712\pi\) |
−0.649756 | + | 0.760143i | \(0.725129\pi\) | |||||||
\(422\) | 221.516 | − | 268.298i | 0.524921 | − | 0.635777i | ||||
\(423\) | 83.2736 | − | 279.239i | 0.196864 | − | 0.660141i | ||||
\(424\) | 252.044 | − | 326.897i | 0.594444 | − | 0.770983i | ||||
\(425\) | 123.172 | − | 75.8499i | 0.289816 | − | 0.178470i | ||||
\(426\) | 58.3608 | + | 163.418i | 0.136997 | + | 0.383610i | ||||
\(427\) | −435.821 | + | 69.0273i | −1.02066 | + | 0.161656i | ||||
\(428\) | −214.629 | − | 275.590i | −0.501469 | − | 0.643903i | ||||
\(429\) | 323.692 | − | 388.470i | 0.754527 | − | 0.905524i | ||||
\(430\) | 412.146 | + | 8.86214i | 0.958479 | + | 0.0206096i | ||||
\(431\) | −221.004 | + | 680.181i | −0.512771 | + | 1.57815i | 0.274531 | + | 0.961578i | \(0.411477\pi\) |
−0.787302 | + | 0.616568i | \(0.788523\pi\) | |||||||
\(432\) | 431.868 | − | 10.6646i | 0.999695 | − | 0.0246865i | ||||
\(433\) | 111.846 | + | 219.509i | 0.258304 | + | 0.506950i | 0.983343 | − | 0.181758i | \(-0.0581786\pi\) |
−0.725040 | + | 0.688707i | \(0.758179\pi\) | |||||||
\(434\) | 445.380 | − | 193.247i | 1.02622 | − | 0.445270i | ||||
\(435\) | 459.364 | + | 162.581i | 1.05601 | + | 0.373749i | ||||
\(436\) | −297.474 | − | 538.620i | −0.682279 | − | 1.23537i | ||||
\(437\) | −26.4942 | + | 167.278i | −0.0606275 | + | 0.382787i | ||||
\(438\) | −332.423 | + | 62.5293i | −0.758956 | + | 0.142761i | ||||
\(439\) | 421.847 | + | 306.490i | 0.960927 | + | 0.698154i | 0.953366 | − | 0.301817i | \(-0.0975932\pi\) |
0.00756121 | + | 0.999971i | \(0.497593\pi\) | |||||||
\(440\) | −372.770 | + | 4.42135i | −0.847204 | + | 0.0100485i | ||||
\(441\) | 42.1934 | + | 230.016i | 0.0956766 | + | 0.521579i | ||||
\(442\) | 202.659 | − | 52.2440i | 0.458505 | − | 0.118199i | ||||
\(443\) | 249.967 | − | 249.967i | 0.564260 | − | 0.564260i | −0.366255 | − | 0.930515i | \(-0.619360\pi\) |
0.930515 | + | 0.366255i | \(0.119360\pi\) | |||||||
\(444\) | −588.077 | − | 113.154i | −1.32450 | − | 0.254851i | ||||
\(445\) | −260.814 | + | 52.1751i | −0.586099 | + | 0.117247i | ||||
\(446\) | 15.4708 | + | 161.984i | 0.0346880 | + | 0.363193i | ||||
\(447\) | 83.4160 | − | 7.58748i | 0.186613 | − | 0.0169742i | ||||
\(448\) | −281.073 | + | 123.582i | −0.627395 | + | 0.275852i | ||||
\(449\) | −637.254 | −1.41927 | −0.709637 | − | 0.704568i | \(-0.751141\pi\) | ||||
−0.709637 | + | 0.704568i | \(0.751141\pi\) | |||||||
\(450\) | −89.5254 | − | 441.005i | −0.198945 | − | 0.980011i | ||||
\(451\) | − | 65.1499i | − | 0.144457i | ||||||
\(452\) | 170.305 | + | 49.1194i | 0.376781 | + | 0.108671i | ||||
\(453\) | 16.9389 | + | 186.225i | 0.0373928 | + | 0.411093i | ||||
\(454\) | −11.5170 | − | 120.587i | −0.0253679 | − | 0.265610i | ||||
\(455\) | −430.866 | − | 50.5197i | −0.946959 | − | 0.111032i | ||||
\(456\) | −207.679 | + | 479.100i | −0.455437 | + | 1.05066i | ||||
\(457\) | 427.713 | + | 427.713i | 0.935914 | + | 0.935914i | 0.998067 | − | 0.0621530i | \(-0.0197967\pi\) |
−0.0621530 | + | 0.998067i | \(0.519797\pi\) | |||||||
\(458\) | 597.573 | − | 154.050i | 1.30475 | − | 0.336353i | ||||
\(459\) | 105.729 | + | 115.012i | 0.230346 | + | 0.250571i | ||||
\(460\) | −101.678 | + | 117.894i | −0.221039 | + | 0.256292i | ||||
\(461\) | −250.193 | + | 344.362i | −0.542719 | + | 0.746988i | −0.989002 | − | 0.147903i | \(-0.952748\pi\) |
0.446283 | + | 0.894892i | \(0.352748\pi\) | |||||||
\(462\) | −263.651 | + | 49.5932i | −0.570672 | + | 0.107345i | ||||
\(463\) | −665.942 | − | 105.475i | −1.43832 | − | 0.227807i | −0.611932 | − | 0.790910i | \(-0.709608\pi\) |
−0.826387 | + | 0.563103i | \(0.809608\pi\) | |||||||
\(464\) | −34.6528 | − | 518.616i | −0.0746828 | − | 1.11771i | ||||
\(465\) | 625.423 | − | 429.999i | 1.34500 | − | 0.924729i | ||||
\(466\) | 473.383 | − | 205.398i | 1.01584 | − | 0.440768i | ||||
\(467\) | 486.338 | − | 247.802i | 1.04141 | − | 0.530624i | 0.152307 | − | 0.988333i | \(-0.451330\pi\) |
0.889102 | + | 0.457709i | \(0.151330\pi\) | |||||||
\(468\) | 64.5963 | − | 647.851i | 0.138026 | − | 1.38430i | ||||
\(469\) | −232.970 | − | 75.6965i | −0.496738 | − | 0.161400i | ||||
\(470\) | 93.4074 | + | 310.002i | 0.198739 | + | 0.659579i | ||||
\(471\) | 128.244 | + | 106.859i | 0.272280 | + | 0.226877i | ||||
\(472\) | −244.918 | − | 516.564i | −0.518895 | − | 1.09442i | ||||
\(473\) | −60.1028 | − | 379.474i | −0.127067 | − | 0.802271i | ||||
\(474\) | −279.617 | − | 782.965i | −0.589909 | − | 1.65182i | ||||
\(475\) | 529.180 | + | 125.824i | 1.11406 | + | 0.264893i | ||||
\(476\) | −100.560 | − | 47.0815i | −0.211261 | − | 0.0989108i | ||||
\(477\) | 132.710 | − | 445.012i | 0.278217 | − | 0.932938i | ||||
\(478\) | −564.600 | + | 683.836i | −1.18117 | + | 1.43062i | ||||
\(479\) | 145.198 | − | 47.1775i | 0.303126 | − | 0.0984917i | −0.153505 | − | 0.988148i | \(-0.549056\pi\) |
0.456631 | + | 0.889656i | \(0.349056\pi\) | |||||||
\(480\) | −394.208 | + | 273.861i | −0.821267 | + | 0.570544i | ||||
\(481\) | −278.901 | + | 858.369i | −0.579836 | + | 1.78455i | ||||
\(482\) | −558.148 | + | 354.973i | −1.15798 | + | 0.736458i | ||||
\(483\) | −57.3710 | + | 96.2304i | −0.118781 | + | 0.199235i | ||||
\(484\) | −25.8491 | − | 134.089i | −0.0534072 | − | 0.277044i | ||||
\(485\) | 14.4194 | + | 38.9545i | 0.0297307 | + | 0.0803185i | ||||
\(486\) | 449.193 | − | 185.531i | 0.924266 | − | 0.381750i | ||||
\(487\) | 50.1651 | − | 316.730i | 0.103008 | − | 0.650369i | −0.881118 | − | 0.472897i | \(-0.843208\pi\) |
0.984126 | − | 0.177472i | \(-0.0567919\pi\) | |||||||
\(488\) | 505.253 | + | 534.906i | 1.03535 | + | 1.09612i | ||||
\(489\) | 216.748 | + | 14.4067i | 0.443248 | + | 0.0294615i | ||||
\(490\) | −179.741 | − | 187.640i | −0.366818 | − | 0.382940i | ||||
\(491\) | 572.763 | − | 416.137i | 1.16652 | − | 0.847529i | 0.175935 | − | 0.984402i | \(-0.443705\pi\) |
0.990589 | + | 0.136872i | \(0.0437050\pi\) | |||||||
\(492\) | −47.0397 | − | 69.4547i | −0.0956091 | − | 0.141168i | ||||
\(493\) | 132.912 | − | 132.912i | 0.269599 | − | 0.269599i | ||||
\(494\) | 677.763 | + | 399.940i | 1.37199 | + | 0.809594i | ||||
\(495\) | −389.655 | + | 155.118i | −0.787181 | + | 0.313370i | ||||
\(496\) | −685.232 | − | 431.135i | −1.38152 | − | 0.869223i | ||||
\(497\) | −123.627 | − | 62.9909i | −0.248746 | − | 0.126742i | ||||
\(498\) | 373.499 | + | 683.541i | 0.749997 | + | 1.37257i | ||||
\(499\) | 434.196 | 0.870133 | 0.435066 | − | 0.900398i | \(-0.356725\pi\) | ||||
0.435066 | + | 0.900398i | \(0.356725\pi\) | |||||||
\(500\) | 352.620 | + | 354.485i | 0.705240 | + | 0.708969i | ||||
\(501\) | 35.4610 | − | 22.3287i | 0.0707805 | − | 0.0445682i | ||||
\(502\) | 153.140 | + | 9.48534i | 0.305059 | + | 0.0188951i | ||||
\(503\) | −86.5019 | − | 44.0749i | −0.171972 | − | 0.0876241i | 0.365886 | − | 0.930660i | \(-0.380766\pi\) |
−0.537858 | + | 0.843036i | \(0.680766\pi\) | |||||||
\(504\) | −245.264 | + | 243.232i | −0.486635 | + | 0.482602i | ||||
\(505\) | −463.915 | − | 427.901i | −0.918644 | − | 0.847329i | ||||
\(506\) | 124.962 | + | 73.7383i | 0.246960 | + | 0.145728i | ||||
\(507\) | −462.421 | − | 105.083i | −0.912073 | − | 0.207263i | ||||
\(508\) | 836.382 | − | 27.9115i | 1.64642 | − | 0.0549439i | ||||
\(509\) | 237.668 | − | 172.676i | 0.466931 | − | 0.339245i | −0.329313 | − | 0.944221i | \(-0.606817\pi\) |
0.796244 | + | 0.604976i | \(0.206817\pi\) | |||||||
\(510\) | −168.402 | − | 42.0951i | −0.330200 | − | 0.0825394i | ||||
\(511\) | 158.974 | − | 218.809i | 0.311103 | − | 0.428197i | ||||
\(512\) | 434.679 | + | 270.552i | 0.848982 | + | 0.528422i | ||||
\(513\) | −24.6830 | + | 586.929i | −0.0481150 | + | 1.14411i | ||||
\(514\) | 383.209 | − | 338.507i | 0.745544 | − | 0.658574i | ||||
\(515\) | −66.3455 | − | 179.235i | −0.128826 | − | 0.348029i | ||||
\(516\) | −338.063 | − | 361.153i | −0.655161 | − | 0.699908i | ||||
\(517\) | 268.860 | − | 136.991i | 0.520039 | − | 0.264973i | ||||
\(518\) | 404.052 | − | 256.970i | 0.780023 | − | 0.496081i | ||||
\(519\) | 3.71224 | + | 14.6735i | 0.00715268 | + | 0.0282727i | ||||
\(520\) | 336.040 | + | 640.617i | 0.646230 | + | 1.23196i | ||||
\(521\) | 399.981 | − | 129.962i | 0.767717 | − | 0.249446i | 0.101130 | − | 0.994873i | \(-0.467754\pi\) |
0.666587 | + | 0.745427i | \(0.267754\pi\) | |||||||
\(522\) | −245.737 | − | 530.602i | −0.470761 | − | 1.01648i | ||||
\(523\) | 45.7492 | + | 288.849i | 0.0874745 | + | 0.552292i | 0.992037 | + | 0.125950i | \(0.0401980\pi\) |
−0.904562 | + | 0.426342i | \(0.859802\pi\) | |||||||
\(524\) | −306.199 | + | 654.003i | −0.584350 | + | 1.24810i | ||||
\(525\) | 294.101 | + | 207.294i | 0.560193 | + | 0.394846i | ||||
\(526\) | −149.755 | + | 673.035i | −0.284705 | + | 1.27953i | ||||
\(527\) | −45.7994 | − | 289.166i | −0.0869059 | − | 0.548702i | ||||
\(528\) | 316.438 | + | 316.217i | 0.599315 | + | 0.598896i | ||||
\(529\) | −445.481 | + | 144.746i | −0.842119 | + | 0.273621i | ||||
\(530\) | 148.859 | + | 494.036i | 0.280866 | + | 0.932144i | ||||
\(531\) | −465.706 | − | 443.570i | −0.877035 | − | 0.835348i | ||||
\(532\) | −142.195 | − | 392.565i | −0.267283 | − | 0.737905i | ||||
\(533\) | −112.643 | + | 57.3945i | −0.211338 | + | 0.107682i | ||||
\(534\) | 263.525 | + | 180.082i | 0.493492 | + | 0.337231i | ||||
\(535\) | 436.279 | − | 17.6182i | 0.815474 | − | 0.0329313i | ||||
\(536\) | 115.104 | + | 391.923i | 0.214747 | + | 0.731200i | ||||
\(537\) | 122.815 | − | 52.6315i | 0.228705 | − | 0.0980102i | ||||
\(538\) | −230.990 | + | 585.075i | −0.429349 | + | 1.08750i | ||||
\(539\) | −142.342 | + | 195.917i | −0.264085 | + | 0.363481i | ||||
\(540\) | −303.402 | + | 446.707i | −0.561856 | + | 0.827235i | ||||
\(541\) | 749.044 | − | 544.212i | 1.38455 | − | 1.00594i | 0.388116 | − | 0.921611i | \(-0.373126\pi\) |
0.996438 | − | 0.0843264i | \(-0.0268739\pi\) | |||||||
\(542\) | −22.7505 | + | 5.86491i | −0.0419751 | + | 0.0108209i | ||||
\(543\) | −102.825 | + | 452.488i | −0.189365 | + | 0.833311i | ||||
\(544\) | 29.8529 | + | 182.733i | 0.0548767 | + | 0.335907i | ||||
\(545\) | 763.900 | + | 89.5685i | 1.40165 | + | 0.164346i | ||||
\(546\) | 318.011 | + | 412.158i | 0.582439 | + | 0.754867i | ||||
\(547\) | 288.019 | + | 146.753i | 0.526542 | + | 0.268287i | 0.696991 | − | 0.717080i | \(-0.254522\pi\) |
−0.170449 | + | 0.985367i | \(0.554522\pi\) | |||||||
\(548\) | −138.097 | + | 478.803i | −0.252001 | + | 0.873728i | ||||
\(549\) | 746.483 | + | 357.742i | 1.35971 | + | 0.651624i | ||||
\(550\) | 266.746 | − | 382.097i | 0.484992 | − | 0.694721i | ||||
\(551\) | 706.803 | 1.28276 | ||||||||
\(552\) | 186.459 | − | 11.6144i | 0.337788 | − | 0.0210406i | ||||
\(553\) | 592.318 | + | 301.801i | 1.07110 | + | 0.545752i | ||||
\(554\) | 42.8581 | + | 448.737i | 0.0773613 | + | 0.809995i | ||||
\(555\) | 542.913 | − | 515.382i | 0.978221 | − | 0.928615i | ||||
\(556\) | −349.917 | − | 327.317i | −0.629348 | − | 0.588699i | ||||
\(557\) | −109.030 | + | 109.030i | −0.195744 | + | 0.195744i | −0.798173 | − | 0.602429i | \(-0.794200\pi\) |
0.602429 | + | 0.798173i | \(0.294200\pi\) | |||||||
\(558\) | −893.587 | − | 176.121i | −1.60141 | − | 0.315628i | ||||
\(559\) | −603.156 | + | 438.218i | −1.07899 | + | 0.783933i | ||||
\(560\) | 78.9107 | − | 375.602i | 0.140912 | − | 0.670718i | ||||
\(561\) | −10.7293 | + | 161.422i | −0.0191253 | + | 0.287739i | ||||
\(562\) | 126.534 | + | 49.9564i | 0.225150 | + | 0.0888903i | ||||
\(563\) | −155.544 | + | 982.064i | −0.276277 | + | 1.74434i | 0.325377 | + | 0.945584i | \(0.394509\pi\) |
−0.601653 | + | 0.798757i | \(0.705491\pi\) | |||||||
\(564\) | 187.715 | − | 340.166i | 0.332828 | − | 0.603131i | ||||
\(565\) | −173.844 | + | 137.355i | −0.307688 | + | 0.243107i | ||||
\(566\) | 9.78820 | − | 4.24703i | 0.0172936 | − | 0.00750359i | ||||
\(567\) | −159.363 | + | 354.419i | −0.281063 | + | 0.625078i | ||||
\(568\) | 29.6672 | + | 229.458i | 0.0522310 | + | 0.403976i | ||||
\(569\) | −163.807 | + | 504.146i | −0.287886 | + | 0.886021i | 0.697633 | + | 0.716455i | \(0.254237\pi\) |
−0.985519 | + | 0.169566i | \(0.945763\pi\) | |||||||
\(570\) | −335.838 | − | 559.692i | −0.589190 | − | 0.981916i | ||||
\(571\) | 185.963 | − | 60.4229i | 0.325679 | − | 0.105819i | −0.141614 | − | 0.989922i | \(-0.545229\pi\) |
0.467293 | + | 0.884102i | \(0.345229\pi\) | |||||||
\(572\) | 531.922 | − | 414.259i | 0.929933 | − | 0.724229i | ||||
\(573\) | −665.162 | + | 582.250i | −1.16084 | + | 1.01614i | ||||
\(574\) | 65.4722 | + | 14.5680i | 0.114063 | + | 0.0253798i | ||||
\(575\) | −45.8424 | − | 189.128i | −0.0797259 | − | 0.328919i | ||||
\(576\) | 565.663 | + | 108.636i | 0.982053 | + | 0.188605i | ||||
\(577\) | −52.0093 | − | 328.374i | −0.0901374 | − | 0.569105i | −0.990880 | − | 0.134751i | \(-0.956977\pi\) |
0.900742 | − | 0.434354i | \(-0.143023\pi\) | |||||||
\(578\) | 325.367 | − | 394.081i | 0.562919 | − | 0.681801i | ||||
\(579\) | 70.2055 | − | 84.2552i | 0.121253 | − | 0.145518i | ||||
\(580\) | 552.331 | + | 342.141i | 0.952294 | + | 0.589898i | ||||
\(581\) | −592.338 | − | 192.462i | −1.01951 | − | 0.331260i | ||||
\(582\) | 21.3387 | − | 45.0466i | 0.0366644 | − | 0.0773996i | ||||
\(583\) | 428.471 | − | 218.317i | 0.734941 | − | 0.374471i | ||||
\(584\) | −450.820 | − | 12.8522i | −0.771952 | − | 0.0220072i | ||||
\(585\) | 611.467 | + | 537.053i | 1.04524 | + | 0.918039i | ||||
\(586\) | −216.315 | − | 244.881i | −0.369138 | − | 0.417886i | ||||
\(587\) | 913.619 | + | 144.703i | 1.55642 | + | 0.246513i | 0.874541 | − | 0.484951i | \(-0.161163\pi\) |
0.681880 | + | 0.731464i | \(0.261163\pi\) | |||||||
\(588\) | −10.2910 | + | 311.636i | −0.0175016 | + | 0.529992i | ||||
\(589\) | 647.089 | − | 890.641i | 1.09862 | − | 1.51212i | ||||
\(590\) | 703.242 | + | 126.936i | 1.19194 | + | 0.215146i | ||||
\(591\) | 614.477 | + | 245.807i | 1.03972 | + | 0.415917i | ||||
\(592\) | −734.041 | − | 314.266i | −1.23993 | − | 0.530855i | ||||
\(593\) | −379.012 | − | 379.012i | −0.639144 | − | 0.639144i | 0.311201 | − | 0.950344i | \(-0.399269\pi\) |
−0.950344 | + | 0.311201i | \(0.899269\pi\) | |||||||
\(594\) | 459.934 | + | 204.318i | 0.774299 | + | 0.343971i | ||||
\(595\) | 121.024 | − | 67.9503i | 0.203402 | − | 0.114202i | ||||
\(596\) | 110.827 | + | 13.7819i | 0.185951 | + | 0.0231240i | ||||
\(597\) | −727.625 | + | 66.1844i | −1.21880 | + | 0.110862i | ||||
\(598\) | 17.4059 | − | 281.017i | 0.0291069 | − | 0.469928i | ||||
\(599\) | − | 19.9492i | − | 0.0333042i | −0.999861 | − | 0.0166521i | \(-0.994699\pi\) | ||
0.999861 | − | 0.0166521i | \(-0.00530077\pi\) | |||||||
\(600\) | 8.48882 | − | 599.940i | 0.0141480 | − | 0.999900i | ||||
\(601\) | −1000.68 | −1.66502 | −0.832512 | − | 0.554007i | \(-0.813098\pi\) | ||||
−0.832512 | + | 0.554007i | \(0.813098\pi\) | |||||||
\(602\) | 394.791 | + | 24.4530i | 0.655799 | + | 0.0406196i | ||||
\(603\) | 279.076 | + | 365.088i | 0.462813 | + | 0.605453i | ||||
\(604\) | −30.7679 | + | 247.419i | −0.0509403 | + | 0.409634i | ||||
\(605\) | 155.096 | + | 71.2951i | 0.256357 | + | 0.117843i | ||||
\(606\) | 21.8463 | + | 757.033i | 0.0360499 | + | 1.24923i | ||||
\(607\) | −353.094 | + | 353.094i | −0.581703 | + | 0.581703i | −0.935371 | − | 0.353668i | \(-0.884934\pi\) |
0.353668 | + | 0.935371i | \(0.384934\pi\) | |||||||
\(608\) | −406.495 | + | 565.247i | −0.668576 | + | 0.929682i | ||||
\(609\) | 434.108 | + | 173.655i | 0.712822 | + | 0.285147i | ||||
\(610\) | −911.313 | + | 124.319i | −1.49395 | + | 0.203801i | ||||
\(611\) | −473.710 | − | 344.171i | −0.775303 | − | 0.563291i | ||||
\(612\) | 105.112 | + | 179.835i | 0.171751 | + | 0.293847i | ||||
\(613\) | 65.0542 | − | 410.736i | 0.106124 | − | 0.670043i | −0.876071 | − | 0.482182i | \(-0.839844\pi\) |
0.982196 | − | 0.187861i | \(-0.0601555\pi\) | |||||||
\(614\) | 109.512 | − | 96.7367i | 0.178358 | − | 0.157552i | ||||
\(615\) | 104.821 | + | 2.72687i | 0.170440 | + | 0.00443394i | ||||
\(616\) | −357.554 | − | 10.1933i | −0.580445 | − | 0.0165476i | ||||
\(617\) | −386.766 | − | 759.071i | −0.626849 | − | 1.23026i | −0.958023 | − | 0.286691i | \(-0.907445\pi\) |
0.331174 | − | 0.943570i | \(-0.392555\pi\) | |||||||
\(618\) | −98.1821 | + | 207.265i | −0.158871 | + | 0.335381i | ||||
\(619\) | −252.743 | + | 777.864i | −0.408309 | + | 1.25665i | 0.509792 | + | 0.860298i | \(0.329723\pi\) |
−0.918100 | + | 0.396348i | \(0.870277\pi\) | |||||||
\(620\) | 936.799 | − | 382.756i | 1.51097 | − | 0.617348i | ||||
\(621\) | 191.109 | − | 87.4639i | 0.307745 | − | 0.140844i | ||||
\(622\) | −696.630 | − | 575.163i | −1.11998 | − | 0.924699i | ||||
\(623\) | −252.069 | + | 39.9237i | −0.404604 | + | 0.0640831i | ||||
\(624\) | 267.965 | − | 825.690i | 0.429430 | − | 1.32322i | ||||
\(625\) | −616.873 | + | 100.465i | −0.986996 | + | 0.160744i | ||||
\(626\) | 124.899 | − | 561.329i | 0.199520 | − | 0.896691i | ||||
\(627\) | −457.734 | + | 400.677i | −0.730038 | + | 0.639039i | ||||
\(628\) | 136.757 | + | 175.601i | 0.217767 | + | 0.279619i | ||||
\(629\) | −89.2312 | − | 274.625i | −0.141862 | − | 0.436606i | ||||
\(630\) | −68.7561 | − | 426.267i | −0.109137 | − | 0.676615i | ||||
\(631\) | −410.428 | − | 133.356i | −0.650441 | − | 0.211341i | −0.0348323 | − | 0.999393i | \(-0.511090\pi\) |
−0.615608 | + | 0.788052i | \(0.711090\pi\) | |||||||
\(632\) | −142.141 | − | 1099.38i | −0.224906 | − | 1.73952i | ||||
\(633\) | 267.252 | − | 448.270i | 0.422198 | − | 0.708168i | ||||
\(634\) | 388.014 | + | 894.263i | 0.612010 | + | 1.41051i | ||||
\(635\) | −580.210 | + | 870.400i | −0.913716 | + | 1.37071i | ||||
\(636\) | 299.153 | − | 542.107i | 0.470366 | − | 0.852370i | ||||
\(637\) | 464.133 | + | 73.5115i | 0.728624 | + | 0.115403i | ||||
\(638\) | 222.362 | − | 563.222i | 0.348530 | − | 0.882793i | ||||
\(639\) | 123.778 | + | 228.975i | 0.193706 | + | 0.358333i | ||||
\(640\) | −591.273 | + | 244.941i | −0.923865 | + | 0.382720i | ||||
\(641\) | 62.8459 | + | 86.5000i | 0.0980436 | + | 0.134945i | 0.855220 | − | 0.518265i | \(-0.173422\pi\) |
−0.757177 | + | 0.653210i | \(0.773422\pi\) | |||||||
\(642\) | −381.029 | − | 359.655i | −0.593504 | − | 0.560210i | ||||
\(643\) | 167.953 | + | 167.953i | 0.261202 | + | 0.261202i | 0.825542 | − | 0.564340i | \(-0.190869\pi\) |
−0.564340 | + | 0.825542i | \(0.690869\pi\) | |||||||
\(644\) | −102.045 | + | 109.091i | −0.158455 | + | 0.169396i | ||||
\(645\) | 613.058 | − | 80.8174i | 0.950477 | − | 0.125298i | ||||
\(646\) | −250.640 | + | 23.9382i | −0.387988 | + | 0.0370561i | ||||
\(647\) | −529.179 | + | 1038.57i | −0.817896 | + | 1.60521i | −0.0220161 | + | 0.999758i | \(0.507009\pi\) |
−0.795880 | + | 0.605454i | \(0.792991\pi\) | |||||||
\(648\) | 637.846 | − | 114.263i | 0.984331 | − | 0.176332i | ||||
\(649\) | − | 666.005i | − | 1.02620i | ||||||
\(650\) | −895.630 | − | 124.586i | −1.37789 | − | 0.191671i | ||||
\(651\) | 616.255 | − | 388.036i | 0.946629 | − | 0.596061i | ||||
\(652\) | 278.291 | + | 80.2650i | 0.426827 | + | 0.123106i | ||||
\(653\) | 113.141 | − | 222.052i | 0.173264 | − | 0.340050i | −0.788002 | − | 0.615673i | \(-0.788884\pi\) |
0.961266 | + | 0.275623i | \(0.0888842\pi\) | |||||||
\(654\) | −563.815 | − | 730.731i | −0.862103 | − | 1.11733i | ||||
\(655\) | −441.922 | − | 787.092i | −0.674690 | − | 1.20167i | ||||
\(656\) | −41.5774 | − | 103.832i | −0.0633802 | − | 0.158280i | ||||
\(657\) | −478.587 | + | 168.486i | −0.728443 | + | 0.256448i | ||||
\(658\) | 77.5497 | + | 300.822i | 0.117857 | + | 0.457177i | ||||
\(659\) | 531.120 | + | 731.024i | 0.805948 | + | 1.10929i | 0.991936 | + | 0.126741i | \(0.0404516\pi\) |
−0.185988 | + | 0.982552i | \(0.559548\pi\) | |||||||
\(660\) | −551.651 | + | 91.5346i | −0.835835 | + | 0.138689i | ||||
\(661\) | −304.152 | − | 220.979i | −0.460139 | − | 0.334310i | 0.333447 | − | 0.942769i | \(-0.391788\pi\) |
−0.793586 | + | 0.608459i | \(0.791788\pi\) | |||||||
\(662\) | −803.187 | − | 317.102i | −1.21327 | − | 0.479006i | ||||
\(663\) | 288.547 | − | 123.655i | 0.435215 | − | 0.186509i | ||||
\(664\) | 292.658 | + | 996.484i | 0.440750 | + | 1.50073i | ||||
\(665\) | 502.465 | + | 141.118i | 0.755587 | + | 0.212208i | ||||
\(666\) | −897.664 | − | 33.6962i | −1.34784 | − | 0.0505949i | ||||
\(667\) | −114.803 | − | 225.313i | −0.172118 | − | 0.337801i | ||||
\(668\) | 52.5336 | − | 19.0287i | 0.0786432 | − | 0.0284860i | ||||
\(669\) | 59.8639 | + | 236.627i | 0.0894827 | + | 0.353703i | ||||
\(670\) | −482.101 | − | 168.185i | −0.719553 | − | 0.251023i | ||||
\(671\) | 264.889 | + | 815.246i | 0.394768 | + | 1.21497i | ||||
\(672\) | −388.539 | + | 247.295i | −0.578183 | + | 0.367998i | ||||
\(673\) | −695.591 | + | 110.171i | −1.03357 | + | 0.163701i | −0.650096 | − | 0.759852i | \(-0.725271\pi\) |
−0.383471 | + | 0.923553i | \(0.625271\pi\) | |||||||
\(674\) | −633.857 | − | 141.037i | −0.940441 | − | 0.209254i | ||||
\(675\) | −233.263 | − | 633.414i | −0.345575 | − | 0.938391i | ||||
\(676\) | −572.627 | − | 268.100i | −0.847081 | − | 0.396597i | ||||
\(677\) | 29.8042 | − | 4.72052i | 0.0440239 | − | 0.00697270i | −0.134384 | − | 0.990929i | \(-0.542905\pi\) |
0.178408 | + | 0.983957i | \(0.442905\pi\) | |||||||
\(678\) | 263.687 | + | 33.9992i | 0.388920 | + | 0.0501463i | ||||
\(679\) | 12.3160 | + | 37.9048i | 0.0181385 | + | 0.0558244i | ||||
\(680\) | −207.450 | − | 102.621i | −0.305074 | − | 0.150913i | ||||
\(681\) | −44.5649 | − | 176.154i | −0.0654403 | − | 0.258669i | ||||
\(682\) | −506.139 | − | 795.837i | −0.742139 | − | 1.16692i | ||||
\(683\) | −500.803 | − | 982.882i | −0.733241 | − | 1.43907i | −0.892134 | − | 0.451770i | \(-0.850793\pi\) |
0.158894 | − | 0.987296i | \(-0.449207\pi\) | |||||||
\(684\) | −198.681 | + | 757.646i | −0.290469 | + | 1.10767i | ||||
\(685\) | −386.167 | − | 488.753i | −0.563748 | − | 0.713508i | ||||
\(686\) | −476.320 | − | 539.222i | −0.694344 | − | 0.786038i | ||||
\(687\) | 850.829 | − | 364.618i | 1.23847 | − | 0.530740i | ||||
\(688\) | −337.961 | − | 566.424i | −0.491222 | − | 0.823291i | ||||
\(689\) | −754.931 | − | 548.490i | −1.09569 | − | 0.796066i | ||||
\(690\) | −123.869 | + | 197.966i | −0.179520 | + | 0.286908i | ||||
\(691\) | 361.313 | + | 497.304i | 0.522884 | + | 0.719688i | 0.986025 | − | 0.166596i | \(-0.0532777\pi\) |
−0.463141 | + | 0.886285i | \(0.653278\pi\) | |||||||
\(692\) | 0.673104 | + | 20.1699i | 0.000972694 | + | 0.0291472i | ||||
\(693\) | −379.576 | + | 133.630i | −0.547729 | + | 0.192828i | ||||
\(694\) | 375.894 | − | 637.014i | 0.541634 | − | 0.917887i | ||||
\(695\) | 587.293 | − | 117.486i | 0.845026 | − | 0.169045i | ||||
\(696\) | −169.603 | − | 760.987i | −0.243683 | − | 1.09337i | ||||
\(697\) | 18.3627 | − | 36.0389i | 0.0263454 | − | 0.0517057i | ||||
\(698\) | −66.7376 | + | 1077.47i | −0.0956127 | + | 1.54365i | ||||
\(699\) | 655.003 | − | 412.434i | 0.937057 | − | 0.590034i | ||||
\(700\) | 324.340 | + | 353.505i | 0.463343 | + | 0.505006i | ||||
\(701\) | − | 301.227i | − | 0.429711i | −0.976646 | − | 0.214856i | \(-0.931072\pi\) | ||
0.976646 | − | 0.214856i | \(-0.0689281\pi\) | |||||||
\(702\) | −51.9204 | − | 975.213i | −0.0739606 | − | 1.38919i | ||||
\(703\) | 492.946 | − | 967.460i | 0.701203 | − | 1.37619i | ||||
\(704\) | 322.537 | + | 501.747i | 0.458149 | + | 0.712709i | ||||
\(705\) | 209.154 | + | 438.307i | 0.296672 | + | 0.621713i | ||||
\(706\) | 12.8138 | − | 21.7151i | 0.0181499 | − | 0.0307580i | ||||
\(707\) | −428.200 | − | 428.200i | −0.605657 | − | 0.605657i | ||||
\(708\) | −480.870 | − | 710.012i | −0.679195 | − | 1.00284i | ||||
\(709\) | −116.363 | − | 160.160i | −0.164123 | − | 0.225896i | 0.719032 | − | 0.694977i | \(-0.244585\pi\) |
−0.883155 | + | 0.469081i | \(0.844585\pi\) | |||||||
\(710\) | −254.806 | − | 136.808i | −0.358882 | − | 0.192687i | ||||
\(711\) | −593.044 | − | 1097.06i | −0.834099 | − | 1.54298i | ||||
\(712\) | 292.226 | + | 309.377i | 0.410430 | + | 0.434519i | ||||
\(713\) | −389.021 | − | 61.6149i | −0.545612 | − | 0.0864164i | ||||
\(714\) | −159.821 | − | 46.8774i | −0.223839 | − | 0.0656546i | ||||
\(715\) | 34.0052 | + | 842.069i | 0.0475598 | + | 1.17772i | ||||
\(716\) | 174.935 | − | 33.7231i | 0.244323 | − | 0.0470993i | ||||
\(717\) | −681.169 | + | 1142.55i | −0.950026 | + | 1.59351i | ||||
\(718\) | −46.2497 | − | 72.7216i | −0.0644146 | − | 0.101284i | ||||
\(719\) | −627.242 | − | 203.803i | −0.872381 | − | 0.283454i | −0.161591 | − | 0.986858i | \(-0.551662\pi\) |
−0.710790 | + | 0.703404i | \(0.751662\pi\) | |||||||
\(720\) | −522.012 | + | 495.887i | −0.725016 | + | 0.688732i | ||||
\(721\) | −56.6677 | − | 174.405i | −0.0785959 | − | 0.241893i | ||||
\(722\) | −173.320 | − | 143.100i | −0.240056 | − | 0.198199i | ||||
\(723\) | −746.575 | + | 653.514i | −1.03261 | + | 0.903893i | ||||
\(724\) | −262.341 | + | 560.326i | −0.362349 | + | 0.773931i | ||||
\(725\) | −749.643 | + | 312.431i | −1.03399 | + | 0.430939i | ||||
\(726\) | −68.8914 | − | 192.905i | −0.0948917 | − | 0.265709i | ||||
\(727\) | 626.640 | − | 99.2500i | 0.861953 | − | 0.136520i | 0.290220 | − | 0.956960i | \(-0.406271\pi\) |
0.571733 | + | 0.820440i | \(0.306271\pi\) | |||||||
\(728\) | 297.367 | + | 627.184i | 0.408471 | + | 0.861517i | ||||
\(729\) | 623.668 | − | 377.465i | 0.855511 | − | 0.517784i | ||||
\(730\) | 341.094 | − | 448.858i | 0.467253 | − | 0.614873i | ||||
\(731\) | 73.7091 | − | 226.853i | 0.100833 | − | 0.310333i | ||||
\(732\) | 871.017 | + | 677.857i | 1.18991 | + | 0.926035i | ||||
\(733\) | −22.5702 | − | 44.2966i | −0.0307916 | − | 0.0604319i | 0.875098 | − | 0.483945i | \(-0.160797\pi\) |
−0.905890 | + | 0.423513i | \(0.860797\pi\) | |||||||
\(734\) | −511.214 | − | 1178.20i | −0.696477 | − | 1.60518i | ||||
\(735\) | −309.255 | − | 237.216i | −0.420756 | − | 0.322743i | ||||
\(736\) | 246.214 | + | 37.7711i | 0.334529 | + | 0.0513194i | ||||
\(737\) | −74.4423 | + | 470.010i | −0.101007 | + | 0.637735i | ||||
\(738\) | −85.5733 | − | 92.2484i | −0.115953 | − | 0.124998i | ||||
\(739\) | −210.793 | − | 153.150i | −0.285240 | − | 0.207239i | 0.435960 | − | 0.899966i | \(-0.356409\pi\) |
−0.721200 | + | 0.692727i | \(0.756409\pi\) | |||||||
\(740\) | 853.530 | − | 517.402i | 1.15342 | − | 0.699192i | ||||
\(741\) | 1096.01 | + | 438.432i | 1.47909 | + | 0.591677i | ||||
\(742\) | 123.588 | + | 479.407i | 0.166560 | + | 0.646101i | ||||
\(743\) | 56.7435 | − | 56.7435i | 0.0763708 | − | 0.0763708i | −0.667890 | − | 0.744260i | \(-0.732802\pi\) |
0.744260 | + | 0.667890i | \(0.232802\pi\) | |||||||
\(744\) | −1114.19 | − | 482.979i | −1.49757 | − | 0.649165i | ||||
\(745\) | −94.6491 | + | 102.615i | −0.127046 | + | 0.137739i | ||||
\(746\) | 948.337 | − | 90.5741i | 1.27123 | − | 0.121413i | ||||
\(747\) | 709.566 | + | 928.255i | 0.949887 | + | 1.24264i | ||||
\(748\) | −59.7768 | + | 207.256i | −0.0799156 | + | 0.277080i | ||||
\(749\) | 418.952 | 0.559349 | ||||||||
\(750\) | 603.597 | + | 445.164i | 0.804796 | + | 0.593552i | ||||
\(751\) | 484.309i | 0.644886i | 0.946589 | + | 0.322443i | \(0.104504\pi\) | ||||
−0.946589 | + | 0.322443i | \(0.895496\pi\) | |||||||
\(752\) | 341.066 | − | 389.909i | 0.453546 | − | 0.518495i | ||||
\(753\) | 229.204 | − | 20.8482i | 0.304387 | − | 0.0276869i | ||||
\(754\) | −1169.69 | + | 111.715i | −1.55132 | + | 0.148164i | ||||
\(755\) | −229.087 | − | 211.303i | −0.303426 | − | 0.279871i | ||||
\(756\) | −308.173 | + | 416.522i | −0.407637 | + | 0.550955i | ||||
\(757\) | 683.414 | + | 683.414i | 0.902792 | + | 0.902792i | 0.995677 | − | 0.0928848i | \(-0.0296088\pi\) |
−0.0928848 | + | 0.995677i | \(0.529609\pi\) | |||||||
\(758\) | −0.272139 | − | 1.05565i | −0.000359022 | − | 0.00139268i | ||||
\(759\) | 202.075 | + | 80.8353i | 0.266239 | + | 0.106502i | ||||
\(760\) | −278.733 | − | 824.449i | −0.366754 | − | 1.08480i | ||||
\(761\) | −726.735 | + | 1000.27i | −0.954974 | + | 1.31441i | −0.00569158 | + | 0.999984i | \(0.501812\pi\) |
−0.949282 | + | 0.314425i | \(0.898188\pi\) | |||||||
\(762\) | 1233.64 | − | 232.049i | 1.61895 | − | 0.304527i | ||||
\(763\) | 728.901 | + | 115.447i | 0.955309 | + | 0.151306i | ||||
\(764\) | −1031.77 | + | 569.833i | −1.35048 | + | 0.745855i | ||||
\(765\) | −259.265 | − | 24.0189i | −0.338909 | − | 0.0313972i | ||||
\(766\) | −280.547 | − | 646.581i | −0.366249 | − | 0.844100i | ||||
\(767\) | −1151.51 | + | 586.724i | −1.50132 | + | 0.764960i | ||||
\(768\) | 706.121 | + | 302.021i | 0.919429 | + | 0.393257i | ||||
\(769\) | −825.053 | − | 268.076i | −1.07289 | − | 0.348603i | −0.281278 | − | 0.959626i | \(-0.590758\pi\) |
−0.791613 | + | 0.611023i | \(0.790758\pi\) | |||||||
\(770\) | 270.528 | − | 355.998i | 0.351336 | − | 0.462334i | ||||
\(771\) | 490.968 | − | 589.222i | 0.636794 | − | 0.764230i | ||||
\(772\) | 115.368 | − | 89.8486i | 0.149441 | − | 0.116384i | ||||
\(773\) | −55.9143 | − | 353.029i | −0.0723342 | − | 0.456700i | −0.997096 | − | 0.0761539i | \(-0.975736\pi\) |
0.924762 | − | 0.380546i | \(-0.124264\pi\) | |||||||
\(774\) | −583.535 | − | 458.369i | −0.753921 | − | 0.592207i | ||||
\(775\) | −292.616 | + | 1230.66i | −0.377569 | + | 1.58795i | ||||
\(776\) | 40.5806 | − | 52.6323i | 0.0522946 | − | 0.0678251i | ||||
\(777\) | 540.456 | − | 473.089i | 0.695568 | − | 0.608866i | ||||
\(778\) | −25.7499 | − | 21.2601i | −0.0330975 | − | 0.0273265i | ||||
\(779\) | 144.649 | − | 46.9992i | 0.185685 | − | 0.0603327i | ||||
\(780\) | 644.244 | + | 873.156i | 0.825954 | + | 1.11943i | ||||
\(781\) | −83.2928 | + | 256.349i | −0.106649 | + | 0.328232i | ||||
\(782\) | 48.3414 | + | 76.0105i | 0.0618177 | + | 0.0972001i | ||||
\(783\) | −485.285 | − | 730.637i | −0.619776 | − | 0.933125i | ||||
\(784\) | −101.825 | + | 403.078i | −0.129878 | + | 0.514130i | ||||
\(785\) | −277.988 | + | 11.2260i | −0.354125 | + | 0.0143006i | ||||
\(786\) | −304.872 | + | 1039.41i | −0.387878 | + | 1.32241i | ||||
\(787\) | 157.012 | − | 991.332i | 0.199507 | − | 1.25963i | −0.661074 | − | 0.750321i | \(-0.729899\pi\) |
0.860581 | − | 0.509314i | \(-0.170101\pi\) | |||||||
\(788\) | 730.798 | + | 494.577i | 0.927409 | + | 0.627635i | ||||
\(789\) | −68.5920 | + | 1031.96i | −0.0869353 | + | 1.30794i | ||||
\(790\) | 1220.82 | + | 655.473i | 1.54535 | + | 0.829712i | ||||
\(791\) | −171.986 | + | 124.955i | −0.217429 | + | 0.157971i | ||||
\(792\) | 541.231 | + | 396.678i | 0.683372 | + | 0.500856i | ||||
\(793\) | 1176.19 | − | 1176.19i | 1.48321 | − | 1.48321i | ||||
\(794\) | −155.407 | + | 263.363i | −0.195727 | + | 0.331691i | ||||
\(795\) | 333.320 | + | 698.511i | 0.419270 | + | 0.878630i | ||||
\(796\) | −966.726 | − | 120.218i | −1.21448 | − | 0.151027i | ||||
\(797\) | 432.189 | + | 220.211i | 0.542270 | + | 0.276300i | 0.703595 | − | 0.710601i | \(-0.251577\pi\) |
−0.161326 | + | 0.986901i | \(0.551577\pi\) | |||||||
\(798\) | −300.307 | − | 549.592i | −0.376324 | − | 0.688712i | ||||
\(799\) | 187.336 | 0.234464 | ||||||||
\(800\) | 181.275 | − | 779.192i | 0.226593 | − | 0.973989i | ||||
\(801\) | 431.748 | + | 206.909i | 0.539012 | + | 0.258314i | ||||
\(802\) | 84.9642 | − | 1371.74i | 0.105940 | − | 1.71039i | ||||
\(803\) | −468.146 | − | 238.532i | −0.582997 | − | 0.297052i | ||||
\(804\) | 259.997 | + | 554.815i | 0.323379 | + | 0.690069i | ||||
\(805\) | −36.6279 | − | 183.096i | −0.0455004 | − | 0.227449i | ||||
\(806\) | −930.099 | + | 1576.21i | −1.15397 | + | 1.95559i | ||||
\(807\) | −209.082 | + | 920.076i | −0.259085 | + | 1.14012i | ||||
\(808\) | −186.325 | + | 992.459i | −0.230600 | + | 1.22829i | ||||
\(809\) | 853.395 | − | 620.028i | 1.05488 | − | 0.766413i | 0.0817429 | − | 0.996653i | \(-0.473951\pi\) |
0.973134 | + | 0.230241i | \(0.0739514\pi\) | |||||||
\(810\) | −347.982 | + | 731.443i | −0.429607 | + | 0.903016i | ||||
\(811\) | 86.3793 | − | 118.891i | 0.106510 | − | 0.146598i | −0.752435 | − | 0.658667i | \(-0.771121\pi\) |
0.858944 | + | 0.512069i | \(0.171121\pi\) | |||||||
\(812\) | 516.286 | + | 349.403i | 0.635820 | + | 0.430299i | ||||
\(813\) | −32.3923 | + | 13.8816i | −0.0398430 | + | 0.0170745i | ||||
\(814\) | −615.847 | − | 697.174i | −0.756568 | − | 0.856479i | ||||
\(815\) | −284.075 | + | 224.449i | −0.348558 | + | 0.275398i | ||||
\(816\) | 85.9166 | + | 264.110i | 0.105290 | + | 0.323665i | ||||
\(817\) | 799.167 | − | 407.196i | 0.978173 | − | 0.498404i | ||||
\(818\) | −628.526 | − | 988.274i | −0.768369 | − | 1.20816i | ||||
\(819\) | 565.435 | + | 538.558i | 0.690397 | + | 0.657580i | ||||
\(820\) | 135.787 | + | 33.2924i | 0.165593 | + | 0.0406005i | ||||
\(821\) | −947.239 | + | 307.776i | −1.15376 | + | 0.374880i | −0.822559 | − | 0.568680i | \(-0.807454\pi\) |
−0.331203 | + | 0.943560i | \(0.607454\pi\) | |||||||
\(822\) | −95.5869 | + | 741.344i | −0.116286 | + | 0.901878i | ||||
\(823\) | −148.344 | − | 936.604i | −0.180247 | − | 1.13804i | −0.897432 | − | 0.441153i | \(-0.854569\pi\) |
0.717184 | − | 0.696883i | \(-0.245431\pi\) | |||||||
\(824\) | −186.717 | + | 242.168i | −0.226598 | + | 0.293894i | ||||
\(825\) | 308.365 | − | 627.297i | 0.373775 | − | 0.760360i | ||||
\(826\) | 669.299 | + | 148.923i | 0.810290 | + | 0.180295i | ||||
\(827\) | 96.5171 | + | 609.385i | 0.116707 | + | 0.736862i | 0.974753 | + | 0.223288i | \(0.0716789\pi\) |
−0.858045 | + | 0.513574i | \(0.828321\pi\) | |||||||
\(828\) | 273.792 | − | 59.7260i | 0.330667 | − | 0.0721329i | ||||
\(829\) | 201.151 | − | 65.3580i | 0.242643 | − | 0.0788396i | −0.185171 | − | 0.982706i | \(-0.559284\pi\) |
0.427814 | + | 0.903867i | \(0.359284\pi\) | |||||||
\(830\) | −1225.77 | − | 427.620i | −1.47683 | − | 0.515205i | ||||
\(831\) | 165.838 | + | 655.517i | 0.199565 | + | 0.788829i | ||||
\(832\) | 583.369 | − | 999.680i | 0.701165 | − | 1.20154i | ||||
\(833\) | −133.959 | + | 68.2553i | −0.160815 | + | 0.0819391i | ||||
\(834\) | −593.397 | − | 405.502i | −0.711507 | − | 0.486213i | ||||
\(835\) | −18.8846 | + | 67.2406i | −0.0226163 | + | 0.0805276i | ||||
\(836\) | −710.015 | + | 392.133i | −0.849300 | + | 0.469058i | ||||
\(837\) | −1364.96 | − | 57.4027i | −1.63078 | − | 0.0685815i | ||||
\(838\) | −467.245 | − | 184.470i | −0.557571 | − | 0.220131i | ||||
\(839\) | 799.652 | − | 1100.63i | 0.953102 | − | 1.31183i | 0.00296612 | − | 0.999996i | \(-0.499056\pi\) |
0.950136 | − | 0.311837i | \(-0.100944\pi\) | |||||||
\(840\) | 31.3657 | − | 574.848i | 0.0373402 | − | 0.684342i | ||||
\(841\) | −173.392 | + | 125.977i | −0.206174 | + | 0.149794i | ||||
\(842\) | 219.502 | + | 851.469i | 0.260691 | + | 1.01125i | ||||
\(843\) | 198.985 | + | 45.2183i | 0.236044 | + | 0.0536397i | ||||
\(844\) | 475.358 | − | 508.181i | 0.563221 | − | 0.602110i | ||||
\(845\) | 689.156 | − | 386.935i | 0.815570 | − | 0.457911i | ||||
\(846\) | 200.754 | − | 547.115i | 0.237298 | − | 0.646708i | ||||
\(847\) | 145.934 | + | 74.3569i | 0.172295 | + | 0.0877886i | ||||
\(848\) | 543.542 | − | 621.380i | 0.640970 | − | 0.732759i | ||||
\(849\) | 13.5436 | − | 8.52794i | 0.0159524 | − | 0.0100447i | ||||
\(850\) | 255.250 | − | 136.181i | 0.300295 | − | 0.160212i | ||||
\(851\) | −388.473 | −0.456490 | ||||||||
\(852\) | 96.2931 | + | 333.426i | 0.113020 | + | 0.391346i | ||||
\(853\) | −561.206 | − | 285.949i | −0.657920 | − | 0.335227i | 0.0929557 | − | 0.995670i | \(-0.470369\pi\) |
−0.750876 | + | 0.660443i | \(0.770369\pi\) | |||||||
\(854\) | −878.509 | + | 83.9050i | −1.02870 | + | 0.0982494i | ||||
\(855\) | −625.497 | − | 753.225i | −0.731576 | − | 0.880965i | ||||
\(856\) | −394.362 | − | 576.663i | −0.460704 | − | 0.673672i | ||||
\(857\) | −28.1596 | + | 28.1596i | −0.0328583 | + | 0.0328583i | −0.723345 | − | 0.690487i | \(-0.757396\pi\) |
0.690487 | + | 0.723345i | \(0.257396\pi\) | |||||||
\(858\) | 694.176 | − | 735.432i | 0.809063 | − | 0.857147i | ||||
\(859\) | 405.827 | − | 294.850i | 0.472441 | − | 0.343249i | −0.325951 | − | 0.945387i | \(-0.605684\pi\) |
0.798392 | + | 0.602138i | \(0.205684\pi\) | |||||||
\(860\) | 821.620 | + | 68.6487i | 0.955372 | + | 0.0798240i | ||||
\(861\) | 100.389 | + | 6.67256i | 0.116595 | + | 0.00774978i | ||||
\(862\) | −525.262 | + | 1330.43i | −0.609352 | + | 1.54343i | ||||
\(863\) | 104.392 | − | 659.107i | 0.120965 | − | 0.763740i | −0.850398 | − | 0.526139i | \(-0.823639\pi\) |
0.971363 | − | 0.237601i | \(-0.0763609\pi\) | |||||||
\(864\) | 863.403 | + | 32.1085i | 0.999309 | + | 0.0371626i | ||||
\(865\) | −20.9903 | − | 13.9921i | −0.0242662 | − | 0.0161759i | ||||
\(866\) | 196.123 | + | 452.007i | 0.226470 | + | 0.521948i | ||||
\(867\) | 392.544 | − | 658.428i | 0.452761 | − | 0.759432i | ||||
\(868\) | 912.949 | − | 330.688i | 1.05179 | − | 0.380977i | ||||
\(869\) | 399.071 | − | 1228.21i | 0.459230 | − | 1.41337i | ||||
\(870\) | 896.869 | + | 381.336i | 1.03088 | + | 0.438318i | ||||
\(871\) | 878.220 | − | 285.351i | 1.00829 | − | 0.327613i | ||||
\(872\) | −527.213 | − | 1111.96i | −0.604603 | − | 1.27518i | ||||
\(873\) | 21.3670 | − | 71.6495i | 0.0244754 | − | 0.0820727i | ||||
\(874\) | −73.5695 | + | 330.640i | −0.0841757 | + | 0.378307i | ||||
\(875\) | −595.300 | + | 72.4350i | −0.680342 | + | 0.0827829i | ||||
\(876\) | −671.305 | + | 83.7182i | −0.766330 | + | 0.0955688i | ||||
\(877\) | 247.590 | + | 1563.22i | 0.282314 | + | 1.78246i | 0.566873 | + | 0.823805i | \(0.308153\pi\) |
−0.284559 | + | 0.958659i | \(0.591847\pi\) | |||||||
\(878\) | 804.185 | + | 663.965i | 0.915929 | + | 0.756224i | ||||
\(879\) | −376.529 | − | 313.742i | −0.428360 | − | 0.356931i | ||||
\(880\) | −744.660 | − | 37.2640i | −0.846204 | − | 0.0423454i | ||||
\(881\) | 931.388 | + | 302.626i | 1.05719 | + | 0.343503i | 0.785488 | − | 0.618877i | \(-0.212412\pi\) |
0.271706 | + | 0.962380i | \(0.412412\pi\) | |||||||
\(882\) | 55.7858 | + | 464.369i | 0.0632493 | + | 0.526496i | ||||
\(883\) | 591.364 | − | 301.315i | 0.669722 | − | 0.341240i | −0.0858484 | − | 0.996308i | \(-0.527360\pi\) |
0.755570 | + | 0.655068i | \(0.227360\pi\) | |||||||
\(884\) | 411.002 | − | 79.2310i | 0.464935 | − | 0.0896279i | ||||
\(885\) | 1071.55 | + | 27.8759i | 1.21079 | + | 0.0314982i | ||||
\(886\) | 529.884 | − | 468.072i | 0.598064 | − | 0.528298i | ||||
\(887\) | 1334.75 | + | 211.404i | 1.50479 | + | 0.238335i | 0.853740 | − | 0.520699i | \(-0.174329\pi\) |
0.651050 | + | 0.759034i | \(0.274329\pi\) | |||||||
\(888\) | −1159.91 | − | 298.585i | −1.30621 | − | 0.336245i | ||||
\(889\) | −589.959 | + | 812.009i | −0.663621 | + | 0.913396i | ||||
\(890\) | −527.082 | + | 71.9031i | −0.592227 | + | 0.0807900i | ||||
\(891\) | 728.465 | + | 198.067i | 0.817581 | + | 0.222298i | ||||
\(892\) | 10.8545 | + | 325.262i | 0.0121688 | + | 0.364643i | ||||
\(893\) | 498.110 | + | 498.110i | 0.557794 | + | 0.557794i | ||||
\(894\) | 167.451 | − | 4.83226i | 0.187305 | − | 0.00540521i | ||||
\(895\) | −93.0127 | + | 202.340i | −0.103925 | + | 0.226079i | ||||
\(896\) | −576.350 | + | 211.938i | −0.643248 | + | 0.236538i | ||||
\(897\) | −38.2573 | − | 420.597i | −0.0426502 | − | 0.468893i | ||||
\(898\) | −1272.07 | − | 78.7910i | −1.41656 | − | 0.0877405i | ||||
\(899\) | 1643.74i | 1.82841i | ||||||||
\(900\) | −124.182 | − | 891.392i | −0.137980 | − | 0.990435i | ||||
\(901\) | 298.550 | 0.331354 | ||||||||
\(902\) | 8.05523 | − | 130.051i | 0.00893041 | − | 0.144180i | ||||
\(903\) | 590.882 | − | 53.7463i | 0.654354 | − | 0.0595197i | ||||
\(904\) | 333.885 | + | 119.108i | 0.369342 | + | 0.131756i | ||||
\(905\) | −378.623 | − | 674.352i | −0.418367 | − | 0.745141i | ||||
\(906\) | 10.7879 | + | 373.832i | 0.0119072 | + | 0.412618i | ||||
\(907\) | −1163.60 | + | 1163.60i | −1.28291 | + | 1.28291i | −0.343899 | + | 0.939007i | \(0.611748\pi\) |
−0.939007 | + | 0.343899i | \(0.888252\pi\) | |||||||
\(908\) | −8.08051 | − | 242.136i | −0.00889924 | − | 0.266670i | ||||
\(909\) | 204.968 | + | 1117.38i | 0.225488 | + | 1.22924i | ||||
\(910\) | −853.838 | − | 154.119i | −0.938283 | − | 0.169362i | ||||
\(911\) | −807.046 | − | 586.353i | −0.885890 | − | 0.643637i | 0.0489131 | − | 0.998803i | \(-0.484424\pi\) |
−0.934803 | + | 0.355166i | \(0.884424\pi\) | |||||||
\(912\) | −473.801 | + | 930.689i | −0.519518 | + | 1.02049i | ||||
\(913\) | −189.273 | + | 1195.03i | −0.207309 | + | 1.30890i | ||||
\(914\) | 800.906 | + | 906.672i | 0.876265 | + | 0.991982i | ||||
\(915\) | −1322.75 | + | 392.062i | −1.44563 | + | 0.428484i | ||||
\(916\) | 1211.91 | − | 233.626i | 1.32304 | − | 0.255050i | ||||
\(917\) | −393.207 | − | 771.713i | −0.428798 | − | 0.841563i | ||||
\(918\) | 196.833 | + | 242.656i | 0.214415 | + | 0.264331i | ||||
\(919\) | −3.58252 | + | 11.0259i | −0.00389828 | + | 0.0119977i | −0.952987 | − | 0.303012i | \(-0.902008\pi\) |
0.949088 | + | 0.315010i | \(0.102008\pi\) | |||||||
\(920\) | −217.543 | + | 222.766i | −0.236460 | + | 0.242137i | ||||
\(921\) | 140.306 | − | 168.385i | 0.152341 | − | 0.182828i | ||||
\(922\) | −542.007 | + | 656.472i | −0.587860 | + | 0.712008i | ||||
\(923\) | 516.600 | − | 81.8214i | 0.559697 | − | 0.0886473i | ||||
\(924\) | −532.425 | + | 66.3985i | −0.576217 | + | 0.0718599i | ||||
\(925\) | −95.1737 | + | 1244.00i | −0.102891 | + | 1.34486i | ||||
\(926\) | −1316.30 | − | 292.884i | −1.42148 | − | 0.316290i | ||||
\(927\) | −98.3125 | + | 329.669i | −0.106054 | + | 0.355630i | ||||
\(928\) | −5.05070 | − | 1039.53i | −0.00544256 | − | 1.12019i | ||||
\(929\) | 354.613 | + | 1091.39i | 0.381715 | + | 1.17480i | 0.938835 | + | 0.344366i | \(0.111906\pi\) |
−0.557120 | + | 0.830432i | \(0.688094\pi\) | |||||||
\(930\) | 1301.62 | − | 781.025i | 1.39959 | − | 0.839812i | ||||
\(931\) | −537.668 | − | 174.699i | −0.577516 | − | 0.187646i | ||||
\(932\) | 970.352 | − | 351.480i | 1.04115 | − | 0.377124i | ||||
\(933\) | −1163.92 | − | 693.913i | −1.24751 | − | 0.743744i | ||||
\(934\) | 1001.45 | − | 434.524i | 1.07222 | − | 0.465229i | ||||
\(935\) | −167.157 | − | 211.563i | −0.178778 | − | 0.226270i | ||||
\(936\) | 209.047 | − | 1285.24i | 0.223340 | − | 1.37312i | ||||
\(937\) | 381.254 | + | 60.3848i | 0.406888 | + | 0.0644448i | 0.356524 | − | 0.934286i | \(-0.383962\pi\) |
0.0503643 | + | 0.998731i | \(0.483962\pi\) | |||||||
\(938\) | −455.689 | − | 179.908i | −0.485810 | − | 0.191800i | ||||
\(939\) | 57.2075 | − | 860.685i | 0.0609239 | − | 0.916598i | ||||
\(940\) | 148.128 | + | 630.367i | 0.157583 | + | 0.670603i | ||||
\(941\) | −567.507 | − | 781.107i | −0.603089 | − | 0.830081i | 0.392897 | − | 0.919582i | \(-0.371473\pi\) |
−0.995987 | + | 0.0895009i | \(0.971473\pi\) | |||||||
\(942\) | 242.785 | + | 229.165i | 0.257733 | + | 0.243275i | ||||
\(943\) | −38.4770 | − | 38.4770i | −0.0408028 | − | 0.0408028i | ||||
\(944\) | −425.031 | − | 1061.43i | −0.450245 | − | 1.12440i | ||||
\(945\) | −199.111 | − | 616.300i | −0.210700 | − | 0.652169i | ||||
\(946\) | −73.0570 | − | 764.928i | −0.0772273 | − | 0.808592i | ||||
\(947\) | −261.482 | + | 513.187i | −0.276116 | + | 0.541909i | −0.986867 | − | 0.161535i | \(-0.948355\pi\) |
0.710751 | + | 0.703444i | \(0.248355\pi\) | |||||||
\(948\) | −461.358 | − | 1597.51i | −0.486664 | − | 1.68513i | ||||
\(949\) | 1019.55i | 1.07435i | ||||||||
\(950\) | 1040.78 | + | 316.595i | 1.09556 | + | 0.333258i | ||||
\(951\) | 779.124 | + | 1237.36i | 0.819268 | + | 1.30111i | ||||
\(952\) | −194.914 | − | 106.416i | −0.204742 | − | 0.111782i | ||||
\(953\) | −145.163 | + | 284.899i | −0.152323 | + | 0.298950i | −0.954540 | − | 0.298082i | \(-0.903653\pi\) |
0.802218 | + | 0.597031i | \(0.203653\pi\) | |||||||
\(954\) | 319.933 | − | 871.912i | 0.335360 | − | 0.913954i | ||||
\(955\) | 171.575 | − | 1463.31i | 0.179660 | − | 1.53226i | ||||
\(956\) | −1211.59 | + | 1295.25i | −1.26735 | + | 1.35486i | ||||
\(957\) | 201.273 | − | 885.710i | 0.210316 | − | 0.925507i | ||||
\(958\) | 295.673 | − | 76.2222i | 0.308635 | − | 0.0795639i | ||||
\(959\) | −351.305 | − | 483.530i | −0.366324 | − | 0.504202i | ||||
\(960\) | −820.769 | + | 497.934i | −0.854967 | + | 0.518682i | ||||
\(961\) | 1293.81 | + | 940.007i | 1.34632 | + | 0.978155i | ||||
\(962\) | −662.865 | + | 1678.97i | −0.689049 | + | 1.74529i | ||||
\(963\) | −646.895 | − | 446.353i | −0.671750 | − | 0.463503i | ||||
\(964\) | −1158.05 | + | 639.578i | −1.20130 | + | 0.663462i | ||||
\(965\) | 7.37539 | + | 182.636i | 0.00764289 | + | 0.189260i | ||||
\(966\) | −126.421 | + | 184.999i | −0.130870 | + | 0.191511i | ||||
\(967\) | 201.510 | + | 395.485i | 0.208386 | + | 0.408981i | 0.971416 | − | 0.237382i | \(-0.0762892\pi\) |
−0.763030 | + | 0.646363i | \(0.776289\pi\) | |||||||
\(968\) | −35.0203 | − | 270.862i | −0.0361780 | − | 0.279816i | ||||
\(969\) | −366.136 | + | 92.6282i | −0.377849 | + | 0.0955915i | ||||
\(970\) | 23.9672 | + | 79.5427i | 0.0247084 | + | 0.0820028i | ||||
\(971\) | −384.779 | − | 1184.23i | −0.396271 | − | 1.21960i | −0.927967 | − | 0.372662i | \(-0.878445\pi\) |
0.531696 | − | 0.846935i | \(-0.321555\pi\) | |||||||
\(972\) | 919.607 | − | 314.813i | 0.946098 | − | 0.323881i | ||||
\(973\) | 567.600 | − | 89.8990i | 0.583351 | − | 0.0923937i | ||||
\(974\) | 139.299 | − | 626.045i | 0.143018 | − | 0.642757i | ||||
\(975\) | −1356.24 | + | 19.4665i | −1.39102 | + | 0.0199656i | ||||
\(976\) | 942.436 | + | 1130.24i | 0.965611 | + | 1.15803i | ||||
\(977\) | 1641.48 | − | 259.985i | 1.68012 | − | 0.266105i | 0.757789 | − | 0.652499i | \(-0.226279\pi\) |
0.922334 | + | 0.386394i | \(0.126279\pi\) | |||||||
\(978\) | 430.886 | + | 55.5573i | 0.440579 | + | 0.0568071i | ||||
\(979\) | 153.206 | + | 471.519i | 0.156492 | + | 0.481633i | ||||
\(980\) | −335.594 | − | 396.786i | −0.342443 | − | 0.404884i | ||||
\(981\) | −1002.48 | − | 954.832i | −1.02190 | − | 0.973325i | ||||
\(982\) | 1194.79 | − | 759.865i | 1.21669 | − | 0.773793i | ||||
\(983\) | 158.625 | + | 311.319i | 0.161368 | + | 0.316703i | 0.957506 | − | 0.288412i | \(-0.0931272\pi\) |
−0.796138 | + | 0.605115i | \(0.793127\pi\) | |||||||
\(984\) | −85.3119 | − | 144.460i | −0.0866991 | − | 0.146809i | ||||
\(985\) | −1034.44 | + | 382.906i | −1.05019 | + | 0.388738i | ||||
\(986\) | 281.750 | − | 248.883i | 0.285750 | − | 0.252417i | ||||
\(987\) | 183.551 | + | 428.313i | 0.185969 | + | 0.433954i | ||||
\(988\) | 1303.48 | + | 882.149i | 1.31932 | + | 0.892863i | ||||
\(989\) | −259.611 | − | 188.618i | −0.262498 | − | 0.190716i | ||||
\(990\) | −796.998 | + | 261.466i | −0.805048 | + | 0.264107i | ||||
\(991\) | 940.498 | + | 1294.48i | 0.949040 | + | 1.30624i | 0.951953 | + | 0.306245i | \(0.0990727\pi\) |
−0.00291305 | + | 0.999996i | \(0.500927\pi\) | |||||||
\(992\) | −1314.54 | − | 945.343i | −1.32514 | − | 0.952967i | ||||
\(993\) | −1263.08 | − | 287.026i | −1.27198 | − | 0.289050i | ||||
\(994\) | −238.992 | − | 141.026i | −0.240435 | − | 0.141877i | ||||
\(995\) | 825.610 | − | 895.097i | 0.829758 | − | 0.899595i | ||||
\(996\) | 661.055 | + | 1410.65i | 0.663710 | + | 1.41631i | ||||
\(997\) | 59.7190 | − | 117.205i | 0.0598987 | − | 0.117558i | −0.859116 | − | 0.511780i | \(-0.828986\pi\) |
0.919015 | + | 0.394223i | \(0.128986\pi\) | |||||||
\(998\) | 866.731 | + | 53.6846i | 0.868468 | + | 0.0537922i | ||||
\(999\) | −1338.54 | + | 154.682i | −1.33988 | + | 0.154836i |
(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 | 300.3.u.a.287.114 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.287.3 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.287.103 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.287.14 | yes | 928 | |
25.23 | odd | 20 | inner | 300.3.u.a.23.14 | yes | 928 | |
75.23 | even | 20 | inner | 300.3.u.a.23.103 | yes | 928 | |
100.23 | even | 20 | inner | 300.3.u.a.23.3 | ✓ | 928 | |
300.23 | odd | 20 | inner | 300.3.u.a.23.114 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.23.3 | ✓ | 928 | 100.23 | even | 20 | inner | |
300.3.u.a.23.14 | yes | 928 | 25.23 | odd | 20 | inner | |
300.3.u.a.23.103 | yes | 928 | 75.23 | even | 20 | inner | |
300.3.u.a.23.114 | yes | 928 | 300.23 | odd | 20 | inner | |
300.3.u.a.287.3 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.287.14 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.287.103 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.287.114 | yes | 928 | 1.1 | even | 1 | trivial |