Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [798,2,Mod(289,798)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(798, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 6, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("798.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 798.bp (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: | \(6.37206208130\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 613.4 | ||
Character | \(\chi\) | \(=\) | 798.613 |
Dual form | 798.2.bp.e.289.4 |
$q$-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 \(\left(\mathbb{Z}/798\mathbb{Z}\right)^\times\).
\(n\) | \(115\) | \(211\) | \(533\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | − | 0.642788i | −0.541675 | − | 0.454519i | ||||
\(3\) | −0.766044 | − | 0.642788i | −0.442276 | − | 0.371114i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0.125040 | − | 0.709139i | 0.0559197 | − | 0.317137i | −0.943998 | − | 0.329951i | \(-0.892968\pi\) |
0.999918 | + | 0.0128141i | \(0.00407897\pi\) | |||||||
\(6\) | 0.173648 | + | 0.984808i | 0.0708916 | + | 0.402046i | ||||
\(7\) | 2.10990 | − | 1.59635i | 0.797466 | − | 0.603364i | ||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 0.173648 | + | 0.984808i | 0.0578827 | + | 0.328269i | ||||
\(10\) | −0.551612 | + | 0.462858i | −0.174435 | + | 0.146368i | ||||
\(11\) | 1.18839 | + | 2.05835i | 0.358313 | + | 0.620616i | 0.987679 | − | 0.156493i | \(-0.0500188\pi\) |
−0.629366 | + | 0.777109i | \(0.716685\pi\) | |||||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | −0.709172 | − | 4.02191i | −0.196689 | − | 1.11548i | −0.909993 | − | 0.414624i | \(-0.863913\pi\) |
0.713304 | − | 0.700855i | \(-0.247198\pi\) | |||||||
\(14\) | −2.64239 | − | 0.133339i | −0.706208 | − | 0.0356364i | ||||
\(15\) | −0.551612 | + | 0.462858i | −0.142426 | + | 0.119509i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −0.388176 | + | 2.20146i | −0.0941466 | + | 0.533932i | 0.900859 | + | 0.434112i | \(0.142938\pi\) |
−0.995006 | + | 0.0998198i | \(0.968173\pi\) | |||||||
\(18\) | 0.500000 | − | 0.866025i | 0.117851 | − | 0.204124i | ||||
\(19\) | −0.679990 | − | 4.30553i | −0.156000 | − | 0.987757i | ||||
\(20\) | 0.720079 | 0.161014 | ||||||||
\(21\) | −2.64239 | − | 0.133339i | −0.576617 | − | 0.0290970i | ||||
\(22\) | 0.412723 | − | 2.34067i | 0.0879929 | − | 0.499032i | ||||
\(23\) | 8.29064 | + | 3.01755i | 1.72872 | + | 0.629202i | 0.998538 | − | 0.0540522i | \(-0.0172137\pi\) |
0.730180 | + | 0.683254i | \(0.239436\pi\) | |||||||
\(24\) | −0.939693 | + | 0.342020i | −0.191814 | + | 0.0698146i | ||||
\(25\) | 4.21122 | + | 1.53276i | 0.842244 | + | 0.306552i | ||||
\(26\) | −2.04198 | + | 3.53681i | −0.400465 | + | 0.693626i | ||||
\(27\) | 0.500000 | − | 0.866025i | 0.0962250 | − | 0.166667i | ||||
\(28\) | 1.93848 | + | 1.80064i | 0.366338 | + | 0.340289i | ||||
\(29\) | 2.89532 | + | 1.05381i | 0.537648 | + | 0.195688i | 0.596550 | − | 0.802576i | \(-0.296538\pi\) |
−0.0589022 | + | 0.998264i | \(0.518760\pi\) | |||||||
\(30\) | 0.720079 | 0.131468 | ||||||||
\(31\) | −4.24992 | −0.763309 | −0.381654 | − | 0.924305i | \(-0.624646\pi\) | ||||
−0.381654 | + | 0.924305i | \(0.624646\pi\) | |||||||
\(32\) | 0.939693 | + | 0.342020i | 0.166116 | + | 0.0604612i | ||||
\(33\) | 0.412723 | − | 2.34067i | 0.0718459 | − | 0.407458i | ||||
\(34\) | 1.71243 | − | 1.43690i | 0.293679 | − | 0.246426i | ||||
\(35\) | −0.868213 | − | 1.69582i | −0.146755 | − | 0.286646i | ||||
\(36\) | −0.939693 | + | 0.342020i | −0.156615 | + | 0.0570034i | ||||
\(37\) | −3.16206 | − | 5.47685i | −0.519839 | − | 0.900388i | −0.999734 | − | 0.0230618i | \(-0.992659\pi\) |
0.479895 | − | 0.877326i | \(-0.340675\pi\) | |||||||
\(38\) | −2.24664 | + | 3.73532i | −0.364453 | + | 0.605949i | ||||
\(39\) | −2.04198 | + | 3.53681i | −0.326978 | + | 0.566343i | ||||
\(40\) | −0.551612 | − | 0.462858i | −0.0872176 | − | 0.0731842i | ||||
\(41\) | 0.831073 | − | 4.71325i | 0.129792 | − | 0.736086i | −0.848554 | − | 0.529109i | \(-0.822526\pi\) |
0.978346 | − | 0.206977i | \(-0.0663625\pi\) | |||||||
\(42\) | 1.93848 | + | 1.80064i | 0.299114 | + | 0.277845i | ||||
\(43\) | −7.42288 | − | 6.22853i | −1.13198 | − | 0.949842i | −0.132831 | − | 0.991139i | \(-0.542407\pi\) |
−0.999147 | + | 0.0412962i | \(0.986851\pi\) | |||||||
\(44\) | −1.82072 | + | 1.52776i | −0.274483 | + | 0.230319i | ||||
\(45\) | 0.720079 | 0.107343 | ||||||||
\(46\) | −4.41136 | − | 7.64070i | −0.650419 | − | 1.12656i | ||||
\(47\) | −0.951012 | − | 5.39345i | −0.138719 | − | 0.786716i | −0.972197 | − | 0.234163i | \(-0.924765\pi\) |
0.833478 | − | 0.552553i | \(-0.186346\pi\) | |||||||
\(48\) | 0.939693 | + | 0.342020i | 0.135633 | + | 0.0493664i | ||||
\(49\) | 1.90333 | − | 6.73627i | 0.271904 | − | 0.962324i | ||||
\(50\) | −2.24074 | − | 3.88108i | −0.316889 | − | 0.548868i | ||||
\(51\) | 1.71243 | − | 1.43690i | 0.239788 | − | 0.201206i | ||||
\(52\) | 3.83767 | − | 1.39680i | 0.532188 | − | 0.193701i | ||||
\(53\) | −0.380885 | − | 2.16011i | −0.0523186 | − | 0.296713i | 0.947410 | − | 0.320023i | \(-0.103691\pi\) |
−0.999728 | + | 0.0233098i | \(0.992580\pi\) | |||||||
\(54\) | −0.939693 | + | 0.342020i | −0.127876 | + | 0.0465430i | ||||
\(55\) | 1.60825 | − | 0.585356i | 0.216857 | − | 0.0789294i | ||||
\(56\) | −0.327532 | − | 2.62540i | −0.0437684 | − | 0.350834i | ||||
\(57\) | −2.24664 | + | 3.73532i | −0.297575 | + | 0.494755i | ||||
\(58\) | −1.54057 | − | 2.66834i | −0.202287 | − | 0.350371i | ||||
\(59\) | −1.08285 | + | 6.14115i | −0.140975 | + | 0.799510i | 0.829536 | + | 0.558453i | \(0.188605\pi\) |
−0.970511 | + | 0.241056i | \(0.922506\pi\) | |||||||
\(60\) | −0.551612 | − | 0.462858i | −0.0712128 | − | 0.0597547i | ||||
\(61\) | −3.61815 | − | 1.31690i | −0.463257 | − | 0.168612i | 0.0998384 | − | 0.995004i | \(-0.468167\pi\) |
−0.563095 | + | 0.826392i | \(0.690390\pi\) | |||||||
\(62\) | 3.25563 | + | 2.73180i | 0.413465 | + | 0.346939i | ||||
\(63\) | 1.93848 | + | 1.80064i | 0.244225 | + | 0.226859i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −2.94077 | −0.364758 | ||||||||
\(66\) | −1.82072 | + | 1.52776i | −0.224115 | + | 0.188055i | ||||
\(67\) | 8.02059 | − | 6.73007i | 0.979871 | − | 0.822209i | −0.00419897 | − | 0.999991i | \(-0.501337\pi\) |
0.984070 | + | 0.177782i | \(0.0568921\pi\) | |||||||
\(68\) | −2.23542 | −0.271084 | ||||||||
\(69\) | −4.41136 | − | 7.64070i | −0.531065 | − | 0.919832i | ||||
\(70\) | −0.424961 | + | 1.85715i | −0.0507926 | + | 0.221972i | ||||
\(71\) | −7.38102 | − | 6.19341i | −0.875966 | − | 0.735023i | 0.0893793 | − | 0.995998i | \(-0.471512\pi\) |
−0.965346 | + | 0.260975i | \(0.915956\pi\) | |||||||
\(72\) | 0.939693 | + | 0.342020i | 0.110744 | + | 0.0403075i | ||||
\(73\) | 7.77648 | + | 6.52524i | 0.910168 | + | 0.763722i | 0.972151 | − | 0.234355i | \(-0.0752979\pi\) |
−0.0619826 | + | 0.998077i | \(0.519742\pi\) | |||||||
\(74\) | −1.09817 | + | 6.22804i | −0.127660 | + | 0.723995i | ||||
\(75\) | −2.24074 | − | 3.88108i | −0.258739 | − | 0.448149i | ||||
\(76\) | 4.12204 | − | 1.41731i | 0.472831 | − | 0.162576i | ||||
\(77\) | 5.79323 | + | 2.44582i | 0.660199 | + | 0.278727i | ||||
\(78\) | 3.83767 | − | 1.39680i | 0.434530 | − | 0.158156i | ||||
\(79\) | −7.07743 | + | 2.57597i | −0.796273 | + | 0.289820i | −0.707941 | − | 0.706271i | \(-0.750376\pi\) |
−0.0883319 | + | 0.996091i | \(0.528154\pi\) | |||||||
\(80\) | 0.125040 | + | 0.709139i | 0.0139799 | + | 0.0792842i | ||||
\(81\) | −0.939693 | + | 0.342020i | −0.104410 | + | 0.0380022i | ||||
\(82\) | −3.66626 | + | 3.07635i | −0.404870 | + | 0.339726i | ||||
\(83\) | −4.81925 | − | 8.34718i | −0.528981 | − | 0.916222i | −0.999429 | − | 0.0337943i | \(-0.989241\pi\) |
0.470448 | − | 0.882428i | \(-0.344092\pi\) | |||||||
\(84\) | −0.327532 | − | 2.62540i | −0.0357367 | − | 0.286455i | ||||
\(85\) | 1.51260 | + | 0.550542i | 0.164065 | + | 0.0597147i | ||||
\(86\) | 1.68263 | + | 9.54267i | 0.181443 | + | 1.02901i | ||||
\(87\) | −1.54057 | − | 2.66834i | −0.165166 | − | 0.286076i | ||||
\(88\) | 2.37678 | 0.253365 | ||||||||
\(89\) | 2.64368 | − | 2.21831i | 0.280229 | − | 0.235140i | −0.491829 | − | 0.870692i | \(-0.663672\pi\) |
0.772059 | + | 0.635551i | \(0.219227\pi\) | |||||||
\(90\) | −0.551612 | − | 0.462858i | −0.0581450 | − | 0.0487895i | ||||
\(91\) | −7.91667 | − | 7.35373i | −0.829892 | − | 0.770881i | ||||
\(92\) | −1.53205 | + | 8.68868i | −0.159727 | + | 0.905858i | ||||
\(93\) | 3.25563 | + | 2.73180i | 0.337593 | + | 0.283274i | ||||
\(94\) | −2.73833 | + | 4.74292i | −0.282437 | + | 0.489195i | ||||
\(95\) | −3.13825 | − | 0.0561576i | −0.321977 | − | 0.00576165i | ||||
\(96\) | −0.500000 | − | 0.866025i | −0.0510310 | − | 0.0883883i | ||||
\(97\) | 13.2297 | − | 4.81521i | 1.34327 | − | 0.488911i | 0.432430 | − | 0.901668i | \(-0.357656\pi\) |
0.910841 | + | 0.412757i | \(0.135434\pi\) | |||||||
\(98\) | −5.78802 | + | 3.93685i | −0.584679 | + | 0.397682i | ||||
\(99\) | −1.82072 | + | 1.52776i | −0.182989 | + | 0.153546i | ||||
\(100\) | −0.778202 | + | 4.41340i | −0.0778202 | + | 0.441340i | ||||
\(101\) | −7.47543 | − | 2.72083i | −0.743833 | − | 0.270733i | −0.0578247 | − | 0.998327i | \(-0.518416\pi\) |
−0.686008 | + | 0.727594i | \(0.740639\pi\) | |||||||
\(102\) | −2.23542 | −0.221339 | ||||||||
\(103\) | −10.7631 | −1.06052 | −0.530260 | − | 0.847835i | \(-0.677906\pi\) | ||||
−0.530260 | + | 0.847835i | \(0.677906\pi\) | |||||||
\(104\) | −3.83767 | − | 1.39680i | −0.376314 | − | 0.136967i | ||||
\(105\) | −0.424961 | + | 1.85715i | −0.0414720 | + | 0.181239i | ||||
\(106\) | −1.09671 | + | 1.89957i | −0.106522 | + | 0.184502i | ||||
\(107\) | −2.68659 | + | 4.65330i | −0.259722 | + | 0.449852i | −0.966167 | − | 0.257916i | \(-0.916964\pi\) |
0.706445 | + | 0.707768i | \(0.250298\pi\) | |||||||
\(108\) | 0.939693 | + | 0.342020i | 0.0904220 | + | 0.0329109i | ||||
\(109\) | 7.49132 | − | 2.72662i | 0.717538 | − | 0.261162i | 0.0426577 | − | 0.999090i | \(-0.486418\pi\) |
0.674880 | + | 0.737927i | \(0.264195\pi\) | |||||||
\(110\) | −1.60825 | − | 0.585356i | −0.153341 | − | 0.0558115i | ||||
\(111\) | −1.09817 | + | 6.22804i | −0.104234 | + | 0.591139i | ||||
\(112\) | −1.43667 | + | 2.22171i | −0.135753 | + | 0.209932i | ||||
\(113\) | 8.98105 | 0.844867 | 0.422433 | − | 0.906394i | \(-0.361176\pi\) | ||||
0.422433 | + | 0.906394i | \(0.361176\pi\) | |||||||
\(114\) | 4.12204 | − | 1.41731i | 0.386065 | − | 0.132743i | ||||
\(115\) | 3.17653 | − | 5.50190i | 0.296213 | − | 0.513055i | ||||
\(116\) | −0.535034 | + | 3.03433i | −0.0496766 | + | 0.281730i | ||||
\(117\) | 3.83767 | − | 1.39680i | 0.354792 | − | 0.129134i | ||||
\(118\) | 4.77697 | − | 4.00835i | 0.439756 | − | 0.368999i | ||||
\(119\) | 2.69529 | + | 5.26451i | 0.247077 | + | 0.482597i | ||||
\(120\) | 0.125040 | + | 0.709139i | 0.0114146 | + | 0.0647352i | ||||
\(121\) | 2.67546 | − | 4.63404i | 0.243224 | − | 0.421276i | ||||
\(122\) | 1.92518 | + | 3.33451i | 0.174298 | + | 0.301892i | ||||
\(123\) | −3.66626 | + | 3.07635i | −0.330575 | + | 0.277385i | ||||
\(124\) | −0.737991 | − | 4.18536i | −0.0662736 | − | 0.375856i | ||||
\(125\) | 3.41371 | − | 5.91272i | 0.305331 | − | 0.528849i | ||||
\(126\) | −0.327532 | − | 2.62540i | −0.0291789 | − | 0.233889i | ||||
\(127\) | 2.25553 | + | 12.7918i | 0.200146 | + | 1.13509i | 0.904897 | + | 0.425630i | \(0.139948\pi\) |
−0.704751 | + | 0.709455i | \(0.748941\pi\) | |||||||
\(128\) | −0.173648 | + | 0.984808i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | 1.68263 | + | 9.54267i | 0.148147 | + | 0.840185i | ||||
\(130\) | 2.25276 | + | 1.89029i | 0.197580 | + | 0.165790i | ||||
\(131\) | 1.53750 | + | 1.29012i | 0.134332 | + | 0.112718i | 0.707478 | − | 0.706735i | \(-0.249833\pi\) |
−0.573146 | + | 0.819453i | \(0.694277\pi\) | |||||||
\(132\) | 2.37678 | 0.206872 | ||||||||
\(133\) | −8.30785 | − | 7.99872i | −0.720382 | − | 0.693577i | ||||
\(134\) | −10.4701 | −0.904482 | ||||||||
\(135\) | −0.551612 | − | 0.462858i | −0.0474752 | − | 0.0398364i | ||||
\(136\) | 1.71243 | + | 1.43690i | 0.146840 | + | 0.123213i | ||||
\(137\) | 3.38651 | + | 19.2058i | 0.289329 | + | 1.64086i | 0.689400 | + | 0.724381i | \(0.257874\pi\) |
−0.400072 | + | 0.916484i | \(0.631015\pi\) | |||||||
\(138\) | −1.53205 | + | 8.68868i | −0.130417 | + | 0.739630i | ||||
\(139\) | 1.74903 | + | 9.91922i | 0.148350 | + | 0.841337i | 0.964616 | + | 0.263660i | \(0.0849296\pi\) |
−0.816265 | + | 0.577677i | \(0.803959\pi\) | |||||||
\(140\) | 1.51929 | − | 1.14950i | 0.128404 | − | 0.0971504i | ||||
\(141\) | −2.73833 | + | 4.74292i | −0.230609 | + | 0.399426i | ||||
\(142\) | 1.67314 | + | 9.48886i | 0.140407 | + | 0.796288i | ||||
\(143\) | 7.43573 | − | 6.23932i | 0.621807 | − | 0.521758i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | 1.10933 | − | 1.92142i | 0.0921249 | − | 0.159565i | ||||
\(146\) | −1.76279 | − | 9.99725i | −0.145889 | − | 0.827379i | ||||
\(147\) | −5.78802 | + | 3.93685i | −0.477388 | + | 0.324706i | ||||
\(148\) | 4.84455 | − | 4.06506i | 0.398220 | − | 0.334146i | ||||
\(149\) | −13.9289 | + | 5.06970i | −1.14110 | + | 0.415326i | −0.842310 | − | 0.538993i | \(-0.818805\pi\) |
−0.298789 | + | 0.954319i | \(0.596583\pi\) | |||||||
\(150\) | −0.778202 | + | 4.41340i | −0.0635399 | + | 0.360353i | ||||
\(151\) | −1.74690 | + | 3.02572i | −0.142161 | + | 0.246229i | −0.928310 | − | 0.371807i | \(-0.878738\pi\) |
0.786149 | + | 0.618036i | \(0.212072\pi\) | |||||||
\(152\) | −4.06870 | − | 1.56388i | −0.330015 | − | 0.126847i | ||||
\(153\) | −2.23542 | −0.180723 | ||||||||
\(154\) | −2.86573 | − | 5.59742i | −0.230927 | − | 0.451053i | ||||
\(155\) | −0.531412 | + | 3.01379i | −0.0426840 | + | 0.242073i | ||||
\(156\) | −3.83767 | − | 1.39680i | −0.307259 | − | 0.111833i | ||||
\(157\) | 3.31093 | − | 1.20508i | 0.264241 | − | 0.0961759i | −0.206502 | − | 0.978446i | \(-0.566208\pi\) |
0.470743 | + | 0.882270i | \(0.343986\pi\) | |||||||
\(158\) | 7.07743 | + | 2.57597i | 0.563050 | + | 0.204933i | ||||
\(159\) | −1.09671 | + | 1.89957i | −0.0869751 | + | 0.150645i | ||||
\(160\) | 0.360039 | − | 0.623606i | 0.0284636 | − | 0.0493004i | ||||
\(161\) | 22.3095 | − | 6.86807i | 1.75823 | − | 0.541279i | ||||
\(162\) | 0.939693 | + | 0.342020i | 0.0738292 | + | 0.0268716i | ||||
\(163\) | 19.1994 | 1.50381 | 0.751907 | − | 0.659270i | \(-0.229134\pi\) | ||||
0.751907 | + | 0.659270i | \(0.229134\pi\) | |||||||
\(164\) | 4.78596 | 0.373720 | ||||||||
\(165\) | −1.60825 | − | 0.585356i | −0.125202 | − | 0.0455699i | ||||
\(166\) | −1.67371 | + | 9.49206i | −0.129905 | + | 0.736727i | ||||
\(167\) | −3.80159 | + | 3.18992i | −0.294176 | + | 0.246843i | −0.777915 | − | 0.628369i | \(-0.783723\pi\) |
0.483739 | + | 0.875212i | \(0.339278\pi\) | |||||||
\(168\) | −1.43667 | + | 2.22171i | −0.110841 | + | 0.171408i | ||||
\(169\) | −3.45686 | + | 1.25820i | −0.265913 | + | 0.0967843i | ||||
\(170\) | −0.804838 | − | 1.39402i | −0.0617283 | − | 0.106917i | ||||
\(171\) | 4.12204 | − | 1.41731i | 0.315221 | − | 0.108384i | ||||
\(172\) | 4.84494 | − | 8.39168i | 0.369423 | − | 0.639860i | ||||
\(173\) | 10.4909 | + | 8.80292i | 0.797609 | + | 0.669274i | 0.947616 | − | 0.319411i | \(-0.103485\pi\) |
−0.150007 | + | 0.988685i | \(0.547930\pi\) | |||||||
\(174\) | −0.535034 | + | 3.03433i | −0.0405608 | + | 0.230032i | ||||
\(175\) | 11.3321 | − | 3.48862i | 0.856623 | − | 0.263715i | ||||
\(176\) | −1.82072 | − | 1.52776i | −0.137242 | − | 0.115159i | ||||
\(177\) | 4.77697 | − | 4.00835i | 0.359059 | − | 0.301286i | ||||
\(178\) | −3.45107 | −0.258669 | ||||||||
\(179\) | 3.38637 | + | 5.86537i | 0.253109 | + | 0.438398i | 0.964380 | − | 0.264520i | \(-0.0852134\pi\) |
−0.711271 | + | 0.702918i | \(0.751880\pi\) | |||||||
\(180\) | 0.125040 | + | 0.709139i | 0.00931996 | + | 0.0528561i | ||||
\(181\) | 19.1715 | + | 6.97786i | 1.42501 | + | 0.518660i | 0.935496 | − | 0.353337i | \(-0.114953\pi\) |
0.489511 | + | 0.871997i | \(0.337175\pi\) | |||||||
\(182\) | 1.33763 | + | 10.7220i | 0.0991517 | + | 0.794769i | ||||
\(183\) | 1.92518 | + | 3.33451i | 0.142313 | + | 0.246494i | ||||
\(184\) | 6.75859 | − | 5.67113i | 0.498250 | − | 0.418082i | ||||
\(185\) | −4.27923 | + | 1.55751i | −0.314615 | + | 0.114511i | ||||
\(186\) | −0.737991 | − | 4.18536i | −0.0541122 | − | 0.306885i | ||||
\(187\) | −4.99267 | + | 1.81718i | −0.365100 | + | 0.132886i | ||||
\(188\) | 5.14637 | − | 1.87313i | 0.375338 | − | 0.136612i | ||||
\(189\) | −0.327532 | − | 2.62540i | −0.0238245 | − | 0.190970i | ||||
\(190\) | 2.36794 | + | 2.06025i | 0.171788 | + | 0.149466i | ||||
\(191\) | −12.7851 | − | 22.1445i | −0.925099 | − | 1.60232i | −0.791402 | − | 0.611296i | \(-0.790648\pi\) |
−0.133697 | − | 0.991022i | \(-0.542685\pi\) | |||||||
\(192\) | −0.173648 | + | 0.984808i | −0.0125320 | + | 0.0710724i | ||||
\(193\) | 7.48846 | + | 6.28356i | 0.539031 | + | 0.452301i | 0.871206 | − | 0.490917i | \(-0.163338\pi\) |
−0.332175 | + | 0.943218i | \(0.607783\pi\) | |||||||
\(194\) | −13.2297 | − | 4.81521i | −0.949836 | − | 0.345712i | ||||
\(195\) | 2.25276 | + | 1.89029i | 0.161324 | + | 0.135367i | ||||
\(196\) | 6.96444 | + | 0.704669i | 0.497460 | + | 0.0503335i | ||||
\(197\) | 9.12422 | + | 15.8036i | 0.650074 | + | 1.12596i | 0.983105 | + | 0.183045i | \(0.0585954\pi\) |
−0.333031 | + | 0.942916i | \(0.608071\pi\) | |||||||
\(198\) | 2.37678 | 0.168910 | ||||||||
\(199\) | −7.58241 | + | 6.36240i | −0.537503 | + | 0.451018i | −0.870683 | − | 0.491845i | \(-0.836323\pi\) |
0.333180 | + | 0.942863i | \(0.391878\pi\) | |||||||
\(200\) | 3.43302 | − | 2.88064i | 0.242751 | − | 0.203692i | ||||
\(201\) | −10.4701 | −0.738506 | ||||||||
\(202\) | 3.97759 | + | 6.88939i | 0.279862 | + | 0.484736i | ||||
\(203\) | 7.79108 | − | 2.39852i | 0.546827 | − | 0.168343i | ||||
\(204\) | 1.71243 | + | 1.43690i | 0.119894 | + | 0.100603i | ||||
\(205\) | −3.23843 | − | 1.17869i | −0.226182 | − | 0.0823234i | ||||
\(206\) | 8.24501 | + | 6.91839i | 0.574457 | + | 0.482027i | ||||
\(207\) | −1.53205 | + | 8.68868i | −0.106485 | + | 0.603905i | ||||
\(208\) | 2.04198 | + | 3.53681i | 0.141586 | + | 0.245234i | ||||
\(209\) | 8.05420 | − | 6.51631i | 0.557121 | − | 0.450742i | ||||
\(210\) | 1.51929 | − | 1.14950i | 0.104841 | − | 0.0793229i | ||||
\(211\) | −5.74820 | + | 2.09217i | −0.395722 | + | 0.144031i | −0.532214 | − | 0.846610i | \(-0.678640\pi\) |
0.136491 | + | 0.990641i | \(0.456417\pi\) | |||||||
\(212\) | 2.06115 | − | 0.750197i | 0.141560 | − | 0.0515237i | ||||
\(213\) | 1.67314 | + | 9.48886i | 0.114642 | + | 0.650166i | ||||
\(214\) | 5.04913 | − | 1.83773i | 0.345151 | − | 0.125625i | ||||
\(215\) | −5.34506 | + | 4.48503i | −0.364530 | + | 0.305877i | ||||
\(216\) | −0.500000 | − | 0.866025i | −0.0340207 | − | 0.0589256i | ||||
\(217\) | −8.96690 | + | 6.78437i | −0.608713 | + | 0.460553i | ||||
\(218\) | −7.49132 | − | 2.72662i | −0.507376 | − | 0.184670i | ||||
\(219\) | −1.76279 | − | 9.99725i | −0.119118 | − | 0.675552i | ||||
\(220\) | 0.855734 | + | 1.48217i | 0.0576935 | + | 0.0999282i | ||||
\(221\) | 9.12935 | 0.614107 | ||||||||
\(222\) | 4.84455 | − | 4.06506i | 0.325145 | − | 0.272829i | ||||
\(223\) | −9.73928 | − | 8.17222i | −0.652190 | − | 0.547252i | 0.255545 | − | 0.966797i | \(-0.417745\pi\) |
−0.907735 | + | 0.419545i | \(0.862190\pi\) | |||||||
\(224\) | 2.52864 | − | 0.778452i | 0.168952 | − | 0.0520125i | ||||
\(225\) | −0.778202 | + | 4.41340i | −0.0518801 | + | 0.294227i | ||||
\(226\) | −6.87989 | − | 5.77291i | −0.457643 | − | 0.384008i | ||||
\(227\) | −11.1964 | + | 19.3928i | −0.743134 | + | 1.28715i | 0.207928 | + | 0.978144i | \(0.433328\pi\) |
−0.951062 | + | 0.309001i | \(0.900005\pi\) | |||||||
\(228\) | −4.06870 | − | 1.56388i | −0.269456 | − | 0.103570i | ||||
\(229\) | −5.30382 | − | 9.18649i | −0.350486 | − | 0.607060i | 0.635848 | − | 0.771814i | \(-0.280650\pi\) |
−0.986335 | + | 0.164754i | \(0.947317\pi\) | |||||||
\(230\) | −5.96992 | + | 2.17287i | −0.393645 | + | 0.143275i | ||||
\(231\) | −2.86573 | − | 5.59742i | −0.188551 | − | 0.368283i | ||||
\(232\) | 2.36029 | − | 1.98052i | 0.154960 | − | 0.130027i | ||||
\(233\) | −0.518954 | + | 2.94314i | −0.0339978 | + | 0.192811i | −0.997077 | − | 0.0764085i | \(-0.975655\pi\) |
0.963079 | + | 0.269220i | \(0.0867658\pi\) | |||||||
\(234\) | −3.83767 | − | 1.39680i | −0.250876 | − | 0.0913114i | ||||
\(235\) | −3.94362 | −0.257254 | ||||||||
\(236\) | −6.23589 | −0.405922 | ||||||||
\(237\) | 7.07743 | + | 2.57597i | 0.459728 | + | 0.167327i | ||||
\(238\) | 1.31925 | − | 5.76535i | 0.0855145 | − | 0.373712i | ||||
\(239\) | −14.1569 | + | 24.5205i | −0.915733 | + | 1.58610i | −0.109909 | + | 0.993942i | \(0.535056\pi\) |
−0.805824 | + | 0.592155i | \(0.798277\pi\) | |||||||
\(240\) | 0.360039 | − | 0.623606i | 0.0232404 | − | 0.0402536i | ||||
\(241\) | 8.73489 | + | 3.17924i | 0.562663 | + | 0.204793i | 0.607664 | − | 0.794194i | \(-0.292107\pi\) |
−0.0450006 | + | 0.998987i | \(0.514329\pi\) | |||||||
\(242\) | −5.02823 | + | 1.83012i | −0.323227 | + | 0.117645i | ||||
\(243\) | 0.939693 | + | 0.342020i | 0.0602813 | + | 0.0219406i | ||||
\(244\) | 0.668608 | − | 3.79186i | 0.0428032 | − | 0.242749i | ||||
\(245\) | −4.53896 | − | 2.19203i | −0.289984 | − | 0.140044i | ||||
\(246\) | 4.78596 | 0.305141 | ||||||||
\(247\) | −16.8343 | + | 5.78823i | −1.07114 | + | 0.368296i | ||||
\(248\) | −2.12496 | + | 3.68054i | −0.134935 | + | 0.233715i | ||||
\(249\) | −1.67371 | + | 9.49206i | −0.106067 | + | 0.601535i | ||||
\(250\) | −6.41567 | + | 2.33511i | −0.405763 | + | 0.147686i | ||||
\(251\) | 21.2164 | − | 17.8027i | 1.33917 | − | 1.12369i | 0.357327 | − | 0.933979i | \(-0.383688\pi\) |
0.981839 | − | 0.189714i | \(-0.0607561\pi\) | |||||||
\(252\) | −1.43667 | + | 2.22171i | −0.0905017 | + | 0.139954i | ||||
\(253\) | 3.64134 | + | 20.6511i | 0.228929 | + | 1.29832i | ||||
\(254\) | 6.49455 | − | 11.2489i | 0.407504 | − | 0.705818i | ||||
\(255\) | −0.804838 | − | 1.39402i | −0.0504009 | − | 0.0872970i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 2.59700 | + | 14.7283i | 0.161996 | + | 0.918727i | 0.952108 | + | 0.305763i | \(0.0989117\pi\) |
−0.790111 | + | 0.612964i | \(0.789977\pi\) | |||||||
\(258\) | 4.84494 | − | 8.39168i | 0.301633 | − | 0.522443i | ||||
\(259\) | −15.4146 | − | 6.50782i | −0.957816 | − | 0.404376i | ||||
\(260\) | −0.510660 | − | 2.89609i | −0.0316698 | − | 0.179608i | ||||
\(261\) | −0.535034 | + | 3.03433i | −0.0331178 | + | 0.187820i | ||||
\(262\) | −0.348524 | − | 1.97658i | −0.0215319 | − | 0.122113i | ||||
\(263\) | −2.96284 | − | 2.48611i | −0.182696 | − | 0.153300i | 0.546853 | − | 0.837229i | \(-0.315826\pi\) |
−0.729549 | + | 0.683928i | \(0.760270\pi\) | |||||||
\(264\) | −1.82072 | − | 1.52776i | −0.112057 | − | 0.0940273i | ||||
\(265\) | −1.57944 | −0.0970243 | ||||||||
\(266\) | 1.22270 | + | 11.4676i | 0.0749687 | + | 0.703121i | ||||
\(267\) | −3.45107 | −0.211202 | ||||||||
\(268\) | 8.02059 | + | 6.73007i | 0.489935 | + | 0.411105i | ||||
\(269\) | −22.6991 | − | 19.0468i | −1.38399 | − | 1.16131i | −0.967709 | − | 0.252071i | \(-0.918888\pi\) |
−0.416283 | − | 0.909235i | \(-0.636667\pi\) | |||||||
\(270\) | 0.125040 | + | 0.709139i | 0.00760971 | + | 0.0431568i | ||||
\(271\) | 1.32423 | − | 7.51007i | 0.0804411 | − | 0.456204i | −0.917806 | − | 0.397028i | \(-0.870042\pi\) |
0.998248 | − | 0.0591761i | \(-0.0188473\pi\) | |||||||
\(272\) | −0.388176 | − | 2.20146i | −0.0235366 | − | 0.133483i | ||||
\(273\) | 1.33763 | + | 10.7220i | 0.0809570 | + | 0.648926i | ||||
\(274\) | 9.75105 | − | 16.8893i | 0.589083 | − | 1.02032i | ||||
\(275\) | 1.84961 | + | 10.4897i | 0.111536 | + | 0.632551i | ||||
\(276\) | 6.75859 | − | 5.67113i | 0.406820 | − | 0.341362i | ||||
\(277\) | 8.06585 | + | 13.9705i | 0.484630 | + | 0.839404i | 0.999844 | − | 0.0176576i | \(-0.00562089\pi\) |
−0.515214 | + | 0.857062i | \(0.672288\pi\) | |||||||
\(278\) | 5.03612 | − | 8.72281i | 0.302046 | − | 0.523160i | ||||
\(279\) | −0.737991 | − | 4.18536i | −0.0441824 | − | 0.250571i | ||||
\(280\) | −1.90273 | − | 0.0960148i | −0.113710 | − | 0.00573798i | ||||
\(281\) | −4.99053 | + | 4.18755i | −0.297710 | + | 0.249808i | −0.779390 | − | 0.626539i | \(-0.784471\pi\) |
0.481680 | + | 0.876347i | \(0.340027\pi\) | |||||||
\(282\) | 5.14637 | − | 1.87313i | 0.306462 | − | 0.111543i | ||||
\(283\) | −1.92967 | + | 10.9437i | −0.114707 | + | 0.650535i | 0.872188 | + | 0.489171i | \(0.162700\pi\) |
−0.986895 | + | 0.161364i | \(0.948411\pi\) | |||||||
\(284\) | 4.81762 | − | 8.34436i | 0.285873 | − | 0.495147i | ||||
\(285\) | 2.36794 | + | 2.06025i | 0.140265 | + | 0.122038i | ||||
\(286\) | −9.70666 | −0.573967 | ||||||||
\(287\) | −5.77052 | − | 11.2711i | −0.340623 | − | 0.665315i | ||||
\(288\) | −0.173648 | + | 0.984808i | −0.0102323 | + | 0.0580304i | ||||
\(289\) | 11.2790 | + | 4.10524i | 0.663473 | + | 0.241484i | ||||
\(290\) | −2.08486 | + | 0.758827i | −0.122427 | + | 0.0445598i | ||||
\(291\) | −13.2297 | − | 4.81521i | −0.775538 | − | 0.282273i | ||||
\(292\) | −5.07574 | + | 8.79144i | −0.297035 | + | 0.514480i | ||||
\(293\) | 4.64728 | − | 8.04933i | 0.271497 | − | 0.470247i | −0.697748 | − | 0.716343i | \(-0.745815\pi\) |
0.969245 | + | 0.246096i | \(0.0791479\pi\) | |||||||
\(294\) | 6.96444 | + | 0.704669i | 0.406174 | + | 0.0410971i | ||||
\(295\) | 4.21953 | + | 1.53578i | 0.245671 | + | 0.0894168i | ||||
\(296\) | −6.32412 | −0.367582 | ||||||||
\(297\) | 2.37678 | 0.137915 | ||||||||
\(298\) | 13.9289 | + | 5.06970i | 0.806879 | + | 0.293680i | ||||
\(299\) | 6.25682 | − | 35.4842i | 0.361842 | − | 2.05211i | ||||
\(300\) | 3.43302 | − | 2.88064i | 0.198205 | − | 0.166314i | ||||
\(301\) | −25.6044 | − | 1.29204i | −1.47581 | − | 0.0744720i | ||||
\(302\) | 3.28310 | − | 1.19495i | 0.188921 | − | 0.0687616i | ||||
\(303\) | 3.97759 | + | 6.88939i | 0.228507 | + | 0.395785i | ||||
\(304\) | 2.11156 | + | 3.81331i | 0.121106 | + | 0.218708i | ||||
\(305\) | −1.38628 | + | 2.40111i | −0.0793782 | + | 0.137487i | ||||
\(306\) | 1.71243 | + | 1.43690i | 0.0978931 | + | 0.0821420i | ||||
\(307\) | 2.04056 | − | 11.5726i | 0.116461 | − | 0.660484i | −0.869555 | − | 0.493836i | \(-0.835594\pi\) |
0.986016 | − | 0.166648i | \(-0.0532944\pi\) | |||||||
\(308\) | −1.40268 | + | 6.12993i | −0.0799250 | + | 0.349285i | ||||
\(309\) | 8.24501 | + | 6.91839i | 0.469042 | + | 0.393573i | ||||
\(310\) | 2.34431 | − | 1.96711i | 0.133148 | − | 0.111724i | ||||
\(311\) | 26.2423 | 1.48807 | 0.744033 | − | 0.668143i | \(-0.232911\pi\) | ||||
0.744033 | + | 0.668143i | \(0.232911\pi\) | |||||||
\(312\) | 2.04198 | + | 3.53681i | 0.115604 | + | 0.200233i | ||||
\(313\) | 4.53398 | + | 25.7135i | 0.256276 | + | 1.45341i | 0.792777 | + | 0.609512i | \(0.208634\pi\) |
−0.536502 | + | 0.843899i | \(0.680254\pi\) | |||||||
\(314\) | −3.31093 | − | 1.20508i | −0.186847 | − | 0.0680066i | ||||
\(315\) | 1.51929 | − | 1.14950i | 0.0856024 | − | 0.0647669i | ||||
\(316\) | −3.76582 | − | 6.52259i | −0.211844 | − | 0.366925i | ||||
\(317\) | 18.2011 | − | 15.2726i | 1.02228 | − | 0.857793i | 0.0323654 | − | 0.999476i | \(-0.489696\pi\) |
0.989912 | + | 0.141684i | \(0.0452515\pi\) | |||||||
\(318\) | 2.06115 | − | 0.750197i | 0.115584 | − | 0.0420690i | ||||
\(319\) | 1.27166 | + | 7.21192i | 0.0711991 | + | 0.403790i | ||||
\(320\) | −0.676653 | + | 0.246281i | −0.0378260 | + | 0.0137675i | ||||
\(321\) | 5.04913 | − | 1.83773i | 0.281815 | − | 0.102572i | ||||
\(322\) | −21.5047 | − | 9.07900i | −1.19841 | − | 0.505953i | ||||
\(323\) | 9.74240 | + | 0.174336i | 0.542082 | + | 0.00970033i | ||||
\(324\) | −0.500000 | − | 0.866025i | −0.0277778 | − | 0.0481125i | ||||
\(325\) | 3.17814 | − | 18.0242i | 0.176292 | − | 0.999800i | ||||
\(326\) | −14.7076 | − | 12.3411i | −0.814578 | − | 0.683512i | ||||
\(327\) | −7.49132 | − | 2.72662i | −0.414271 | − | 0.150782i | ||||
\(328\) | −3.66626 | − | 3.07635i | −0.202435 | − | 0.169863i | ||||
\(329\) | −10.6164 | − | 9.86148i | −0.585300 | − | 0.543681i | ||||
\(330\) | 0.855734 | + | 1.48217i | 0.0471066 | + | 0.0815910i | ||||
\(331\) | 4.15799 | 0.228544 | 0.114272 | − | 0.993449i | \(-0.463546\pi\) | ||||
0.114272 | + | 0.993449i | \(0.463546\pi\) | |||||||
\(332\) | 7.38352 | − | 6.19551i | 0.405223 | − | 0.340023i | ||||
\(333\) | 4.84455 | − | 4.06506i | 0.265480 | − | 0.222764i | ||||
\(334\) | 4.96263 | 0.271543 | ||||||||
\(335\) | −3.76966 | − | 6.52924i | −0.205959 | − | 0.356731i | ||||
\(336\) | 2.52864 | − | 0.778452i | 0.137949 | − | 0.0424681i | ||||
\(337\) | −27.0969 | − | 22.7370i | −1.47606 | − | 1.23856i | −0.910271 | − | 0.414014i | \(-0.864127\pi\) |
−0.565791 | − | 0.824549i | \(-0.691429\pi\) | |||||||
\(338\) | 3.45686 | + | 1.25820i | 0.188029 | + | 0.0684368i | ||||
\(339\) | −6.87989 | − | 5.77291i | −0.373664 | − | 0.313541i | ||||
\(340\) | −0.279517 | + | 1.58522i | −0.0151590 | + | 0.0859708i | ||||
\(341\) | −5.05056 | − | 8.74783i | −0.273503 | − | 0.473722i | ||||
\(342\) | −4.06870 | − | 1.56388i | −0.220010 | − | 0.0845648i | ||||
\(343\) | −6.73763 | − | 17.2512i | −0.363798 | − | 0.931478i | ||||
\(344\) | −9.10551 | + | 3.31413i | −0.490936 | + | 0.178686i | ||||
\(345\) | −5.96992 | + | 2.17287i | −0.321409 | + | 0.116983i | ||||
\(346\) | −2.37810 | − | 13.4869i | −0.127847 | − | 0.725058i | ||||
\(347\) | −17.3947 | + | 6.33115i | −0.933796 | + | 0.339874i | −0.763713 | − | 0.645556i | \(-0.776626\pi\) |
−0.170083 | + | 0.985430i | \(0.554404\pi\) | |||||||
\(348\) | 2.36029 | − | 1.98052i | 0.126525 | − | 0.106167i | ||||
\(349\) | 15.1820 | + | 26.2960i | 0.812675 | + | 1.40759i | 0.910986 | + | 0.412438i | \(0.135323\pi\) |
−0.0983111 | + | 0.995156i | \(0.531344\pi\) | |||||||
\(350\) | −10.9233 | − | 4.61167i | −0.583875 | − | 0.246504i | ||||
\(351\) | −3.83767 | − | 1.39680i | −0.204839 | − | 0.0745555i | ||||
\(352\) | 0.412723 | + | 2.34067i | 0.0219982 | + | 0.124758i | ||||
\(353\) | −12.8206 | − | 22.2060i | −0.682373 | − | 1.18190i | −0.974255 | − | 0.225450i | \(-0.927615\pi\) |
0.291882 | − | 0.956454i | \(-0.405718\pi\) | |||||||
\(354\) | −6.23589 | −0.331434 | ||||||||
\(355\) | −5.31492 | + | 4.45975i | −0.282087 | + | 0.236699i | ||||
\(356\) | 2.64368 | + | 2.21831i | 0.140115 | + | 0.117570i | ||||
\(357\) | 1.31925 | − | 5.76535i | 0.0698223 | − | 0.305135i | ||||
\(358\) | 1.17607 | − | 6.66985i | 0.0621575 | − | 0.352513i | ||||
\(359\) | 25.6499 | + | 21.5229i | 1.35375 | + | 1.13593i | 0.977858 | + | 0.209271i | \(0.0671091\pi\) |
0.375895 | + | 0.926662i | \(0.377335\pi\) | |||||||
\(360\) | 0.360039 | − | 0.623606i | 0.0189757 | − | 0.0328669i | ||||
\(361\) | −18.0752 | + | 5.85544i | −0.951328 | + | 0.308181i | ||||
\(362\) | −10.2009 | − | 17.6686i | −0.536150 | − | 0.928639i | ||||
\(363\) | −5.02823 | + | 1.83012i | −0.263913 | + | 0.0960566i | ||||
\(364\) | 5.86730 | − | 9.07336i | 0.307530 | − | 0.475573i | ||||
\(365\) | 5.59968 | − | 4.69869i | 0.293101 | − | 0.245941i | ||||
\(366\) | 0.668608 | − | 3.79186i | 0.0349487 | − | 0.198204i | ||||
\(367\) | −18.7843 | − | 6.83692i | −0.980532 | − | 0.356884i | −0.198485 | − | 0.980104i | \(-0.563602\pi\) |
−0.782047 | + | 0.623220i | \(0.785824\pi\) | |||||||
\(368\) | −8.82272 | −0.459916 | ||||||||
\(369\) | 4.78596 | 0.249147 | ||||||||
\(370\) | 4.27923 | + | 1.55751i | 0.222467 | + | 0.0809712i | ||||
\(371\) | −4.25192 | − | 3.94957i | −0.220748 | − | 0.205052i | ||||
\(372\) | −2.12496 | + | 3.68054i | −0.110174 | + | 0.190827i | ||||
\(373\) | −4.73779 | + | 8.20609i | −0.245313 | + | 0.424895i | −0.962220 | − | 0.272274i | \(-0.912224\pi\) |
0.716906 | + | 0.697170i | \(0.245558\pi\) | |||||||
\(374\) | 4.99267 | + | 1.81718i | 0.258165 | + | 0.0939644i | ||||
\(375\) | −6.41567 | + | 2.33511i | −0.331304 | + | 0.120585i | ||||
\(376\) | −5.14637 | − | 1.87313i | −0.265404 | − | 0.0965992i | ||||
\(377\) | 2.18506 | − | 12.3921i | 0.112536 | − | 0.638224i | ||||
\(378\) | −1.43667 | + | 2.22171i | −0.0738943 | + | 0.114272i | ||||
\(379\) | −20.6450 | −1.06046 | −0.530231 | − | 0.847853i | \(-0.677895\pi\) | ||||
−0.530231 | + | 0.847853i | \(0.677895\pi\) | |||||||
\(380\) | −0.489647 | − | 3.10032i | −0.0251183 | − | 0.159043i | ||||
\(381\) | 6.49455 | − | 11.2489i | 0.332726 | − | 0.576298i | ||||
\(382\) | −4.44023 | + | 25.1818i | −0.227182 | + | 1.28841i | ||||
\(383\) | 3.59027 | − | 1.30675i | 0.183454 | − | 0.0667719i | −0.248660 | − | 0.968591i | \(-0.579990\pi\) |
0.432114 | + | 0.901819i | \(0.357768\pi\) | |||||||
\(384\) | 0.766044 | − | 0.642788i | 0.0390920 | − | 0.0328021i | ||||
\(385\) | 2.45881 | − | 3.80238i | 0.125313 | − | 0.193787i | ||||
\(386\) | −1.69750 | − | 9.62698i | −0.0864003 | − | 0.490000i | ||||
\(387\) | 4.84494 | − | 8.39168i | 0.246282 | − | 0.426573i | ||||
\(388\) | 7.03937 | + | 12.1925i | 0.357370 | + | 0.618982i | ||||
\(389\) | −12.8829 | + | 10.8100i | −0.653189 | + | 0.548091i | −0.908037 | − | 0.418890i | \(-0.862419\pi\) |
0.254848 | + | 0.966981i | \(0.417975\pi\) | |||||||
\(390\) | −0.510660 | − | 2.89609i | −0.0258583 | − | 0.146649i | ||||
\(391\) | −9.86123 | + | 17.0802i | −0.498704 | + | 0.863781i | ||||
\(392\) | −4.88212 | − | 5.01646i | −0.246584 | − | 0.253370i | ||||
\(393\) | −0.348524 | − | 1.97658i | −0.0175807 | − | 0.0997051i | ||||
\(394\) | 3.16881 | − | 17.9712i | 0.159642 | − | 0.905376i | ||||
\(395\) | 0.941759 | + | 5.34098i | 0.0473851 | + | 0.268734i | ||||
\(396\) | −1.82072 | − | 1.52776i | −0.0914945 | − | 0.0767730i | ||||
\(397\) | 21.3451 | + | 17.9107i | 1.07128 | + | 0.898911i | 0.995168 | − | 0.0981884i | \(-0.0313048\pi\) |
0.0761124 | + | 0.997099i | \(0.475749\pi\) | |||||||
\(398\) | 9.89813 | 0.496149 | ||||||||
\(399\) | 1.22270 | + | 11.4676i | 0.0612117 | + | 0.574096i | ||||
\(400\) | −4.48149 | −0.224074 | ||||||||
\(401\) | 3.26674 | + | 2.74112i | 0.163133 | + | 0.136885i | 0.720700 | − | 0.693247i | \(-0.243821\pi\) |
−0.557567 | + | 0.830132i | \(0.688265\pi\) | |||||||
\(402\) | 8.02059 | + | 6.73007i | 0.400031 | + | 0.335666i | ||||
\(403\) | 3.01393 | + | 17.0928i | 0.150134 | + | 0.851454i | ||||
\(404\) | 1.38140 | − | 7.83433i | 0.0687274 | − | 0.389772i | ||||
\(405\) | 0.125040 | + | 0.709139i | 0.00621331 | + | 0.0352374i | ||||
\(406\) | −7.51005 | − | 3.17064i | −0.372718 | − | 0.157356i | ||||
\(407\) | 7.51551 | − | 13.0172i | 0.372530 | − | 0.645241i | ||||
\(408\) | −0.388176 | − | 2.20146i | −0.0192176 | − | 0.108988i | ||||
\(409\) | −23.8138 | + | 19.9822i | −1.17752 | + | 0.988055i | −0.177526 | + | 0.984116i | \(0.556809\pi\) |
−0.999992 | + | 0.00393923i | \(0.998746\pi\) | |||||||
\(410\) | 1.72313 | + | 2.98455i | 0.0850995 | + | 0.147397i | ||||
\(411\) | 9.75105 | − | 16.8893i | 0.480984 | − | 0.833089i | ||||
\(412\) | −1.86899 | − | 10.5996i | −0.0920787 | − | 0.522204i | ||||
\(413\) | 7.51873 | + | 14.6858i | 0.369973 | + | 0.722641i | ||||
\(414\) | 6.75859 | − | 5.67113i | 0.332167 | − | 0.278721i | ||||
\(415\) | −6.52191 | + | 2.37378i | −0.320148 | + | 0.116524i | ||||
\(416\) | 0.709172 | − | 4.02191i | 0.0347700 | − | 0.197191i | ||||
\(417\) | 5.03612 | − | 8.72281i | 0.246620 | − | 0.427158i | ||||
\(418\) | −10.3585 | − | 0.185361i | −0.506650 | − | 0.00906628i | ||||
\(419\) | −10.4869 | −0.512318 | −0.256159 | − | 0.966635i | \(-0.582457\pi\) | ||||
−0.256159 | + | 0.966635i | \(0.582457\pi\) | |||||||
\(420\) | −1.90273 | − | 0.0960148i | −0.0928436 | − | 0.00468504i | ||||
\(421\) | 6.68036 | − | 37.8862i | 0.325581 | − | 1.84646i | −0.179983 | − | 0.983670i | \(-0.557604\pi\) |
0.505563 | − | 0.862790i | \(-0.331285\pi\) | |||||||
\(422\) | 5.74820 | + | 2.09217i | 0.279818 | + | 0.101845i | ||||
\(423\) | 5.14637 | − | 1.87313i | 0.250225 | − | 0.0910746i | ||||
\(424\) | −2.06115 | − | 0.750197i | −0.100098 | − | 0.0364328i | ||||
\(425\) | −5.00900 | + | 8.67584i | −0.242972 | + | 0.420840i | ||||
\(426\) | 4.81762 | − | 8.34436i | 0.233414 | − | 0.404286i | ||||
\(427\) | −9.73616 | + | 2.99732i | −0.471166 | + | 0.145050i | ||||
\(428\) | −5.04913 | − | 1.83773i | −0.244059 | − | 0.0888301i | ||||
\(429\) | −9.70666 | −0.468642 | ||||||||
\(430\) | 6.97747 | 0.336484 | ||||||||
\(431\) | 18.7073 | + | 6.80891i | 0.901100 | + | 0.327973i | 0.750693 | − | 0.660651i | \(-0.229720\pi\) |
0.150406 | + | 0.988624i | \(0.451942\pi\) | |||||||
\(432\) | −0.173648 | + | 0.984808i | −0.00835465 | + | 0.0473816i | ||||
\(433\) | −2.05128 | + | 1.72123i | −0.0985781 | + | 0.0827168i | −0.690745 | − | 0.723099i | \(-0.742717\pi\) |
0.592167 | + | 0.805816i | \(0.298273\pi\) | |||||||
\(434\) | 11.2300 | + | 0.566682i | 0.539055 | + | 0.0272016i | ||||
\(435\) | −2.08486 | + | 0.758827i | −0.0999613 | + | 0.0363830i | ||||
\(436\) | 3.98605 | + | 6.90403i | 0.190897 | + | 0.330643i | ||||
\(437\) | 7.35459 | − | 37.7475i | 0.351818 | − | 1.80571i | ||||
\(438\) | −5.07574 | + | 8.79144i | −0.242528 | + | 0.420071i | ||||
\(439\) | 23.6073 | + | 19.8089i | 1.12672 | + | 0.945428i | 0.998924 | − | 0.0463734i | \(-0.0147664\pi\) |
0.127793 | + | 0.991801i | \(0.459211\pi\) | |||||||
\(440\) | 0.297193 | − | 1.68547i | 0.0141681 | − | 0.0803514i | ||||
\(441\) | 6.96444 | + | 0.704669i | 0.331640 | + | 0.0335557i | ||||
\(442\) | −6.99349 | − | 5.86824i | −0.332646 | − | 0.279124i | ||||
\(443\) | −16.3704 | + | 13.7364i | −0.777780 | + | 0.652635i | −0.942689 | − | 0.333674i | \(-0.891712\pi\) |
0.164909 | + | 0.986309i | \(0.447267\pi\) | |||||||
\(444\) | −6.32412 | −0.300129 | ||||||||
\(445\) | −1.24252 | − | 2.15211i | −0.0589012 | − | 0.102020i | ||||
\(446\) | 2.20771 | + | 12.5206i | 0.104538 | + | 0.592866i | ||||
\(447\) | 13.9289 | + | 5.06970i | 0.658814 | + | 0.239789i | ||||
\(448\) | −2.43743 | − | 1.02905i | −0.115158 | − | 0.0486180i | ||||
\(449\) | 7.67486 | + | 13.2933i | 0.362199 | + | 0.627347i | 0.988322 | − | 0.152377i | \(-0.0486927\pi\) |
−0.626123 | + | 0.779724i | \(0.715359\pi\) | |||||||
\(450\) | 3.43302 | − | 2.88064i | 0.161834 | − | 0.135795i | ||||
\(451\) | 10.6892 | − | 3.89053i | 0.503332 | − | 0.183198i | ||||
\(452\) | 1.55954 | + | 8.84461i | 0.0733548 | + | 0.416016i | ||||
\(453\) | 3.28310 | − | 1.19495i | 0.154253 | − | 0.0561436i | ||||
\(454\) | 21.0424 | − | 7.65881i | 0.987570 | − | 0.359446i | ||||
\(455\) | −6.20472 | + | 4.69450i | −0.290882 | + | 0.220082i | ||||
\(456\) | 2.11156 | + | 3.81331i | 0.0988829 | + | 0.178574i | ||||
\(457\) | −0.852257 | − | 1.47615i | −0.0398669 | − | 0.0690515i | 0.845403 | − | 0.534128i | \(-0.179360\pi\) |
−0.885270 | + | 0.465077i | \(0.846027\pi\) | |||||||
\(458\) | −1.84200 | + | 10.4465i | −0.0860709 | + | 0.488132i | ||||
\(459\) | 1.71243 | + | 1.43690i | 0.0799294 | + | 0.0670687i | ||||
\(460\) | 5.96992 | + | 2.17287i | 0.278349 | + | 0.101311i | ||||
\(461\) | −13.3162 | − | 11.1736i | −0.620198 | − | 0.520408i | 0.277668 | − | 0.960677i | \(-0.410439\pi\) |
−0.897866 | + | 0.440269i | \(0.854883\pi\) | |||||||
\(462\) | −1.40268 | + | 6.12993i | −0.0652585 | + | 0.285190i | ||||
\(463\) | −18.3446 | − | 31.7738i | −0.852545 | − | 1.47665i | −0.878904 | − | 0.476999i | \(-0.841724\pi\) |
0.0263583 | − | 0.999653i | \(-0.491609\pi\) | |||||||
\(464\) | −3.08114 | −0.143038 | ||||||||
\(465\) | 2.34431 | − | 1.96711i | 0.108715 | − | 0.0912225i | ||||
\(466\) | 2.28935 | − | 1.92100i | 0.106052 | − | 0.0889884i | ||||
\(467\) | 9.89430 | 0.457854 | 0.228927 | − | 0.973444i | \(-0.426478\pi\) | ||||
0.228927 | + | 0.973444i | \(0.426478\pi\) | |||||||
\(468\) | 2.04198 | + | 3.53681i | 0.0943905 | + | 0.163489i | ||||
\(469\) | 6.17905 | − | 27.0034i | 0.285322 | − | 1.24690i | ||||
\(470\) | 3.02099 | + | 2.53491i | 0.139348 | + | 0.116927i | ||||
\(471\) | −3.31093 | − | 1.20508i | −0.152560 | − | 0.0555272i | ||||
\(472\) | 4.77697 | + | 4.00835i | 0.219878 | + | 0.184499i | ||||
\(473\) | 3.99924 | − | 22.6808i | 0.183885 | − | 1.04286i | ||||
\(474\) | −3.76582 | − | 6.52259i | −0.172970 | − | 0.299593i | ||||
\(475\) | 3.73575 | − | 19.1738i | 0.171408 | − | 0.879755i | ||||
\(476\) | −4.71650 | + | 3.56851i | −0.216180 | + | 0.163562i | ||||
\(477\) | 2.06115 | − | 0.750197i | 0.0943735 | − | 0.0343492i | ||||
\(478\) | 26.6063 | − | 9.68389i | 1.21694 | − | 0.442931i | ||||
\(479\) | 1.01480 | + | 5.75521i | 0.0463673 | + | 0.262962i | 0.999175 | − | 0.0406125i | \(-0.0129309\pi\) |
−0.952808 | + | 0.303575i | \(0.901820\pi\) | |||||||
\(480\) | −0.676653 | + | 0.246281i | −0.0308848 | + | 0.0112412i | ||||
\(481\) | −19.7850 | + | 16.6016i | −0.902116 | + | 0.756966i | ||||
\(482\) | −4.64774 | − | 8.05011i | −0.211699 | − | 0.366673i | ||||
\(483\) | −21.5047 | − | 9.07900i | −0.978500 | − | 0.413109i | ||||
\(484\) | 5.02823 | + | 1.83012i | 0.228556 | + | 0.0831875i | ||||
\(485\) | −1.76041 | − | 9.98378i | −0.0799361 | − | 0.453340i | ||||
\(486\) | −0.500000 | − | 0.866025i | −0.0226805 | − | 0.0392837i | ||||
\(487\) | −2.59137 | −0.117426 | −0.0587130 | − | 0.998275i | \(-0.518700\pi\) | ||||
−0.0587130 | + | 0.998275i | \(0.518700\pi\) | |||||||
\(488\) | −2.94955 | + | 2.47496i | −0.133520 | + | 0.112036i | ||||
\(489\) | −14.7076 | − | 12.3411i | −0.665100 | − | 0.558086i | ||||
\(490\) | 2.06804 | + | 4.59678i | 0.0934244 | + | 0.207661i | ||||
\(491\) | −1.18603 | + | 6.72631i | −0.0535248 | + | 0.303554i | −0.999804 | − | 0.0197965i | \(-0.993698\pi\) |
0.946279 | + | 0.323350i | \(0.104809\pi\) | |||||||
\(492\) | −3.66626 | − | 3.07635i | −0.165288 | − | 0.138693i | ||||
\(493\) | −3.44381 | + | 5.96486i | −0.155102 | + | 0.268644i | ||||
\(494\) | 16.6164 | + | 6.38681i | 0.747607 | + | 0.287356i | ||||
\(495\) | 0.855734 | + | 1.48217i | 0.0384624 | + | 0.0666188i | ||||
\(496\) | 3.99362 | − | 1.45356i | 0.179319 | − | 0.0652667i | ||||
\(497\) | −25.4601 | − | 1.28476i | −1.14204 | − | 0.0576292i | ||||
\(498\) | 7.38352 | − | 6.19551i | 0.330863 | − | 0.277627i | ||||
\(499\) | 0.197748 | − | 1.12148i | 0.00885242 | − | 0.0502045i | −0.980062 | − | 0.198694i | \(-0.936330\pi\) |
0.988914 | + | 0.148489i | \(0.0474411\pi\) | |||||||
\(500\) | 6.41567 | + | 2.33511i | 0.286918 | + | 0.104429i | ||||
\(501\) | 4.96263 | 0.221714 | ||||||||
\(502\) | −27.6960 | −1.23613 | ||||||||
\(503\) | 15.5262 | + | 5.65107i | 0.692278 | + | 0.251969i | 0.664110 | − | 0.747635i | \(-0.268811\pi\) |
0.0281677 | + | 0.999603i | \(0.491033\pi\) | |||||||
\(504\) | 2.52864 | − | 0.778452i | 0.112635 | − | 0.0346750i | ||||
\(505\) | −2.86418 | + | 4.96090i | −0.127454 | + | 0.220757i | ||||
\(506\) | 10.4848 | − | 18.1602i | 0.466107 | − | 0.807321i | ||||
\(507\) | 3.45686 | + | 1.25820i | 0.153525 | + | 0.0558784i | ||||
\(508\) | −12.2058 | + | 4.44253i | −0.541543 | + | 0.197106i | ||||
\(509\) | −6.27410 | − | 2.28358i | −0.278094 | − | 0.101218i | 0.199208 | − | 0.979957i | \(-0.436163\pi\) |
−0.477302 | + | 0.878739i | \(0.658385\pi\) | |||||||
\(510\) | −0.279517 | + | 1.58522i | −0.0123772 | + | 0.0701948i | ||||
\(511\) | 26.8242 | + | 1.35359i | 1.18663 | + | 0.0598793i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −4.06870 | − | 1.56388i | −0.179637 | − | 0.0690469i | ||||
\(514\) | 7.47776 | − | 12.9519i | 0.329830 | − | 0.571282i | ||||
\(515\) | −1.34582 | + | 7.63253i | −0.0593040 | + | 0.336330i | ||||
\(516\) | −9.10551 | + | 3.31413i | −0.400848 | + | 0.145897i | ||||
\(517\) | 9.97145 | − | 8.36704i | 0.438544 | − | 0.367982i | ||||
\(518\) | 7.62511 | + | 14.8936i | 0.335028 | + | 0.654386i | ||||
\(519\) | −2.37810 | − | 13.4869i | −0.104387 | − | 0.592007i | ||||
\(520\) | −1.47039 | + | 2.54678i | −0.0644807 | + | 0.111684i | ||||
\(521\) | −4.54623 | − | 7.87429i | −0.199174 | − | 0.344979i | 0.749087 | − | 0.662472i | \(-0.230492\pi\) |
−0.948261 | + | 0.317493i | \(0.897159\pi\) | |||||||
\(522\) | 2.36029 | − | 1.98052i | 0.103307 | − | 0.0866848i | ||||
\(523\) | −2.95349 | − | 16.7501i | −0.129147 | − | 0.732429i | −0.978758 | − | 0.205019i | \(-0.934274\pi\) |
0.849611 | − | 0.527410i | \(-0.176837\pi\) | |||||||
\(524\) | −1.00353 | + | 1.73817i | −0.0438396 | + | 0.0759324i | ||||
\(525\) | −10.9233 | − | 4.61167i | −0.476732 | − | 0.201270i | ||||
\(526\) | 0.671620 | + | 3.80895i | 0.0292840 | + | 0.166078i | ||||
\(527\) | 1.64972 | − | 9.35602i | 0.0718629 | − | 0.407555i | ||||
\(528\) | 0.412723 | + | 2.34067i | 0.0179615 | + | 0.101865i | ||||
\(529\) | 42.0101 | + | 35.2507i | 1.82653 | + | 1.53264i | ||||
\(530\) | 1.20992 | + | 1.01525i | 0.0525557 | + | 0.0440994i | ||||
\(531\) | −6.23589 | −0.270615 | ||||||||
\(532\) | 6.43456 | − | 9.57060i | 0.278974 | − | 0.414938i | ||||
\(533\) | −19.5457 | −0.846616 | ||||||||
\(534\) | 2.64368 | + | 2.21831i | 0.114403 | + | 0.0959956i | ||||
\(535\) | 2.96391 | + | 2.48701i | 0.128141 | + | 0.107523i | ||||
\(536\) | −1.81812 | − | 10.3111i | −0.0785308 | − | 0.445370i | ||||
\(537\) | 1.17607 | − | 6.66985i | 0.0507514 | − | 0.287825i | ||||
\(538\) | 5.14548 | + | 29.1815i | 0.221837 | + | 1.25810i | ||||
\(539\) | 16.1275 | − | 4.08760i | 0.694660 | − | 0.176065i | ||||
\(540\) | 0.360039 | − | 0.623606i | 0.0154936 | − | 0.0268357i | ||||
\(541\) | −1.00692 | − | 5.71053i | −0.0432909 | − | 0.245515i | 0.955481 | − | 0.295051i | \(-0.0953367\pi\) |
−0.998772 | + | 0.0495365i | \(0.984226\pi\) | |||||||
\(542\) | −5.84180 | + | 4.90185i | −0.250927 | + | 0.210552i | ||||
\(543\) | −10.2009 | − | 17.6686i | −0.437764 | − | 0.758230i | ||||
\(544\) | −1.11771 | + | 1.93593i | −0.0479214 | + | 0.0830023i | ||||
\(545\) | −0.996833 | − | 5.65332i | −0.0426996 | − | 0.242162i | ||||
\(546\) | 5.86730 | − | 9.07336i | 0.251097 | − | 0.388304i | ||||
\(547\) | −27.0090 | + | 22.6632i | −1.15482 | + | 0.969009i | −0.999821 | − | 0.0189062i | \(-0.993982\pi\) |
−0.154998 | + | 0.987915i | \(0.549537\pi\) | |||||||
\(548\) | −18.3260 | + | 6.67011i | −0.782847 | + | 0.284933i | ||||
\(549\) | 0.668608 | − | 3.79186i | 0.0285355 | − | 0.161833i | ||||
\(550\) | 5.32575 | − | 9.22447i | 0.227091 | − | 0.393333i | ||||
\(551\) | 2.56843 | − | 13.1825i | 0.109419 | − | 0.561593i | ||||
\(552\) | −8.82272 | −0.375520 | ||||||||
\(553\) | −10.8205 | + | 16.7331i | −0.460134 | + | 0.711564i | ||||
\(554\) | 2.80124 | − | 15.8866i | 0.119013 | − | 0.674958i | ||||
\(555\) | 4.27923 | + | 1.55751i | 0.181643 | + | 0.0661127i | ||||
\(556\) | −9.46481 | + | 3.44491i | −0.401397 | + | 0.146097i | ||||
\(557\) | −7.55483 | − | 2.74973i | −0.320109 | − | 0.116510i | 0.176968 | − | 0.984217i | \(-0.443371\pi\) |
−0.497077 | + | 0.867707i | \(0.665593\pi\) | |||||||
\(558\) | −2.12496 | + | 3.68054i | −0.0899568 | + | 0.155810i | ||||
\(559\) | −19.7865 | + | 34.2713i | −0.836881 | + | 1.44952i | ||||
\(560\) | 1.39586 | + | 1.29660i | 0.0589857 | + | 0.0547914i | ||||
\(561\) | 4.99267 | + | 1.81718i | 0.210791 | + | 0.0767216i | ||||
\(562\) | 6.51467 | 0.274805 | ||||||||
\(563\) | 7.77522 | 0.327687 | 0.163843 | − | 0.986486i | \(-0.447611\pi\) | ||||
0.163843 | + | 0.986486i | \(0.447611\pi\) | |||||||
\(564\) | −5.14637 | − | 1.87313i | −0.216701 | − | 0.0788729i | ||||
\(565\) | 1.12299 | − | 6.36882i | 0.0472447 | − | 0.267938i | ||||
\(566\) | 8.51268 | − | 7.14299i | 0.357815 | − | 0.300242i | ||||
\(567\) | −1.43667 | + | 2.22171i | −0.0603345 | + | 0.0933029i | ||||
\(568\) | −9.05417 | + | 3.29545i | −0.379904 | + | 0.138274i | ||||
\(569\) | −0.545529 | − | 0.944885i | −0.0228698 | − | 0.0396116i | 0.854364 | − | 0.519675i | \(-0.173947\pi\) |
−0.877234 | + | 0.480063i | \(0.840614\pi\) | |||||||
\(570\) | −0.489647 | − | 3.10032i | −0.0205090 | − | 0.129858i | ||||
\(571\) | 4.98453 | − | 8.63345i | 0.208596 | − | 0.361299i | −0.742677 | − | 0.669650i | \(-0.766444\pi\) |
0.951272 | + | 0.308352i | \(0.0997773\pi\) | |||||||
\(572\) | 7.43573 | + | 6.23932i | 0.310904 | + | 0.260879i | ||||
\(573\) | −4.44023 | + | 25.1818i | −0.185493 | + | 1.05198i | ||||
\(574\) | −2.82448 | + | 12.3434i | −0.117891 | + | 0.515204i | ||||
\(575\) | 30.2885 | + | 25.4151i | 1.26312 | + | 1.05988i | ||||
\(576\) | 0.766044 | − | 0.642788i | 0.0319185 | − | 0.0267828i | ||||
\(577\) | 29.7643 | 1.23910 | 0.619552 | − | 0.784955i | \(-0.287314\pi\) | ||||
0.619552 | + | 0.784955i | \(0.287314\pi\) | |||||||
\(578\) | −6.00145 | − | 10.3948i | −0.249628 | − | 0.432368i | ||||
\(579\) | −1.69750 | − | 9.62698i | −0.0705455 | − | 0.400084i | ||||
\(580\) | 2.08486 | + | 0.758827i | 0.0865691 | + | 0.0315086i | ||||
\(581\) | −23.4931 | − | 9.91848i | −0.974660 | − | 0.411488i | ||||
\(582\) | 7.03937 | + | 12.1925i | 0.291791 | + | 0.505397i | ||||
\(583\) | 3.99361 | − | 3.35104i | 0.165399 | − | 0.138786i | ||||
\(584\) | 9.53927 | − | 3.47201i | 0.394738 | − | 0.143673i | ||||
\(585\) | −0.510660 | − | 2.89609i | −0.0211132 | − | 0.119739i | ||||
\(586\) | −8.73403 | + | 3.17893i | −0.360800 | + | 0.131320i | ||||
\(587\) | −25.6151 | + | 9.32315i | −1.05725 | + | 0.384808i | −0.811395 | − | 0.584499i | \(-0.801291\pi\) |
−0.245856 | + | 0.969306i | \(0.579069\pi\) | |||||||
\(588\) | −4.88212 | − | 5.01646i | −0.201335 | − | 0.206875i | ||||
\(589\) | 2.88991 | + | 18.2982i | 0.119077 | + | 0.753964i | ||||
\(590\) | −2.24517 | − | 3.88874i | −0.0924320 | − | 0.160097i | ||||
\(591\) | 3.16881 | − | 17.9712i | 0.130347 | − | 0.739237i | ||||
\(592\) | 4.84455 | + | 4.06506i | 0.199110 | + | 0.167073i | ||||
\(593\) | 17.5980 | + | 6.40514i | 0.722663 | + | 0.263028i | 0.677056 | − | 0.735932i | \(-0.263256\pi\) |
0.0456070 | + | 0.998959i | \(0.485478\pi\) | |||||||
\(594\) | −1.82072 | − | 1.52776i | −0.0747049 | − | 0.0626849i | ||||
\(595\) | 4.07029 | − | 1.25306i | 0.166866 | − | 0.0513703i | ||||
\(596\) | −7.41141 | − | 12.8369i | −0.303583 | − | 0.525821i | ||||
\(597\) | 9.89813 | 0.405104 | ||||||||
\(598\) | −27.6018 | + | 23.1607i | −1.12872 | + | 0.947110i | ||||
\(599\) | −23.5742 | + | 19.7811i | −0.963215 | + | 0.808233i | −0.981473 | − | 0.191600i | \(-0.938632\pi\) |
0.0182584 | + | 0.999833i | \(0.494188\pi\) | |||||||
\(600\) | −4.48149 | −0.182956 | ||||||||
\(601\) | 5.63660 | + | 9.76288i | 0.229922 | + | 0.398236i | 0.957785 | − | 0.287486i | \(-0.0928196\pi\) |
−0.727863 | + | 0.685723i | \(0.759486\pi\) | |||||||
\(602\) | 18.7836 | + | 17.4480i | 0.765563 | + | 0.711126i | ||||
\(603\) | 8.02059 | + | 6.73007i | 0.326624 | + | 0.274070i | ||||
\(604\) | −3.28310 | − | 1.19495i | −0.133587 | − | 0.0486218i | ||||
\(605\) | −2.95164 | − | 2.47672i | −0.120001 | − | 0.100693i | ||||
\(606\) | 1.38140 | − | 7.83433i | 0.0561157 | − | 0.318248i | ||||
\(607\) | 13.1424 | + | 22.7632i | 0.533432 | + | 0.923931i | 0.999237 | + | 0.0390440i | \(0.0124313\pi\) |
−0.465806 | + | 0.884887i | \(0.654235\pi\) | |||||||
\(608\) | 0.833597 | − | 4.27845i | 0.0338068 | − | 0.173514i | ||||
\(609\) | −7.51005 | − | 3.17064i | −0.304323 | − | 0.128481i | ||||
\(610\) | 2.60535 | − | 0.948272i | 0.105488 | − | 0.0383944i | ||||
\(611\) | −21.0176 | + | 7.64977i | −0.850280 | + | 0.309477i | ||||
\(612\) | −0.388176 | − | 2.20146i | −0.0156911 | − | 0.0889886i | ||||
\(613\) | 33.3970 | − | 12.1555i | 1.34889 | − | 0.490957i | 0.436290 | − | 0.899806i | \(-0.356292\pi\) |
0.912602 | + | 0.408849i | \(0.134070\pi\) | |||||||
\(614\) | −9.00189 | + | 7.55348i | −0.363287 | + | 0.304834i | ||||
\(615\) | 1.72313 | + | 2.98455i | 0.0694834 | + | 0.120349i | ||||
\(616\) | 5.01476 | − | 3.79417i | 0.202050 | − | 0.152872i | ||||
\(617\) | 27.9663 | + | 10.1789i | 1.12588 | + | 0.409787i | 0.836795 | − | 0.547516i | \(-0.184426\pi\) |
0.289086 | + | 0.957303i | \(0.406649\pi\) | |||||||
\(618\) | −1.86899 | − | 10.5996i | −0.0751819 | − | 0.426378i | ||||
\(619\) | −21.8596 | − | 37.8619i | −0.878610 | − | 1.52180i | −0.852867 | − | 0.522128i | \(-0.825138\pi\) |
−0.0257428 | − | 0.999669i | \(-0.508195\pi\) | |||||||
\(620\) | −3.06028 | −0.122904 | ||||||||
\(621\) | 6.75859 | − | 5.67113i | 0.271213 | − | 0.227575i | ||||
\(622\) | −20.1028 | − | 16.8682i | −0.806048 | − | 0.676355i | ||||
\(623\) | 2.03668 | − | 8.90064i | 0.0815981 | − | 0.356596i | ||||
\(624\) | 0.709172 | − | 4.02191i | 0.0283896 | − | 0.161005i | ||||
\(625\) | 13.3990 | + | 11.2431i | 0.535960 | + | 0.449724i | ||||
\(626\) | 13.0551 | − | 22.6120i | 0.521785 | − | 0.903759i | ||||
\(627\) | −10.3585 | − | 0.185361i | −0.413678 | − | 0.00740259i | ||||
\(628\) | 1.76171 | + | 3.05137i | 0.0702999 | + | 0.121763i | ||||
\(629\) | 13.2845 | − | 4.83515i | 0.529687 | − | 0.192790i | ||||
\(630\) | −1.90273 | − | 0.0960148i | −0.0758065 | − | 0.00382532i | ||||
\(631\) | 18.2712 | − | 15.3314i | 0.727367 | − | 0.610333i | −0.202046 | − | 0.979376i | \(-0.564759\pi\) |
0.929412 | + | 0.369043i | \(0.120314\pi\) | |||||||
\(632\) | −1.30786 | + | 7.41722i | −0.0520237 | + | 0.295041i | ||||
\(633\) | 5.74820 | + | 2.09217i | 0.228470 | + | 0.0831564i | ||||
\(634\) | −23.7599 | −0.943626 | ||||||||
\(635\) | 9.35317 | 0.371169 | ||||||||
\(636\) | −2.06115 | − | 0.750197i | −0.0817299 | − | 0.0297472i | ||||
\(637\) | −28.4425 | − | 2.87784i | −1.12693 | − | 0.114024i | ||||
\(638\) | 3.66159 | − | 6.34206i | 0.144964 | − | 0.251084i | ||||
\(639\) | 4.81762 | − | 8.34436i | 0.190582 | − | 0.330098i | ||||
\(640\) | 0.676653 | + | 0.246281i | 0.0267470 | + | 0.00973513i | ||||
\(641\) | 26.6179 | − | 9.68814i | 1.05135 | − | 0.382659i | 0.242175 | − | 0.970233i | \(-0.422139\pi\) |
0.809170 | + | 0.587574i | \(0.199917\pi\) | |||||||
\(642\) | −5.04913 | − | 1.83773i | −0.199273 | − | 0.0725295i | ||||
\(643\) | 0.286498 | − | 1.62481i | 0.0112984 | − | 0.0640762i | −0.978637 | − | 0.205594i | \(-0.934087\pi\) |
0.989936 | + | 0.141518i | \(0.0451984\pi\) | |||||||
\(644\) | 10.6377 | + | 20.7779i | 0.419185 | + | 0.818764i | ||||
\(645\) | 6.97747 | 0.274738 | ||||||||
\(646\) | −7.35105 | − | 6.39584i | −0.289223 | − | 0.251641i | ||||
\(647\) | −25.1502 | + | 43.5615i | −0.988757 | + | 1.71258i | −0.364884 | + | 0.931053i | \(0.618891\pi\) |
−0.623874 | + | 0.781525i | \(0.714442\pi\) | |||||||
\(648\) | −0.173648 | + | 0.984808i | −0.00682154 | + | 0.0386869i | ||||
\(649\) | −13.9275 | + | 5.06919i | −0.546702 | + | 0.198983i | ||||
\(650\) | −14.0203 | + | 11.7644i | −0.549922 | + | 0.461439i | ||||
\(651\) | 11.2300 | + | 0.566682i | 0.440137 | + | 0.0222100i | ||||
\(652\) | 3.33394 | + | 18.9077i | 0.130567 | + | 0.740483i | ||||
\(653\) | −7.22989 | + | 12.5225i | −0.282928 | + | 0.490045i | −0.972104 | − | 0.234548i | \(-0.924639\pi\) |
0.689177 | + | 0.724593i | \(0.257972\pi\) | |||||||
\(654\) | 3.98605 | + | 6.90403i | 0.155867 | + | 0.269969i | ||||
\(655\) | 1.10712 | − | 0.928987i | 0.0432589 | − | 0.0362985i | ||||
\(656\) | 0.831073 | + | 4.71325i | 0.0324479 | + | 0.184021i | ||||
\(657\) | −5.07574 | + | 8.79144i | −0.198023 | + | 0.342987i | ||||
\(658\) | 1.79378 | + | 14.3784i | 0.0699290 | + | 0.560529i | ||||
\(659\) | 0.851755 | + | 4.83054i | 0.0331797 | + | 0.188171i | 0.996893 | − | 0.0787683i | \(-0.0250987\pi\) |
−0.963713 | + | 0.266939i | \(0.913988\pi\) | |||||||
\(660\) | 0.297193 | − | 1.68547i | 0.0115682 | − | 0.0656067i | ||||
\(661\) | −1.36112 | − | 7.71928i | −0.0529413 | − | 0.300245i | 0.946828 | − | 0.321741i | \(-0.104268\pi\) |
−0.999769 | + | 0.0214961i | \(0.993157\pi\) | |||||||
\(662\) | −3.18521 | − | 2.67271i | −0.123797 | − | 0.103878i | ||||
\(663\) | −6.99349 | − | 5.86824i | −0.271605 | − | 0.227903i | ||||
\(664\) | −9.63849 | −0.374046 | ||||||||
\(665\) | −6.71103 | + | 4.89126i | −0.260242 | + | 0.189675i | ||||
\(666\) | −6.32412 | −0.245055 | ||||||||
\(667\) | 20.8242 | + | 17.4735i | 0.806314 | + | 0.676578i | ||||
\(668\) | −3.80159 | − | 3.18992i | −0.147088 | − | 0.123422i | ||||
\(669\) | 2.20771 | + | 12.5206i | 0.0853552 | + | 0.484073i | ||||
\(670\) | −1.30919 | + | 7.42478i | −0.0505784 | + | 0.286844i | ||||
\(671\) | −1.58913 | − | 9.01241i | −0.0613478 | − | 0.347920i | ||||
\(672\) | −2.43743 | − | 1.02905i | −0.0940259 | − | 0.0396964i | ||||
\(673\) | −22.7499 | + | 39.4039i | −0.876943 | + | 1.51891i | −0.0222654 | + | 0.999752i | \(0.507088\pi\) |
−0.854678 | + | 0.519158i | \(0.826245\pi\) | |||||||
\(674\) | 6.14237 | + | 34.8351i | 0.236595 | + | 1.34180i | ||||
\(675\) | 3.43302 | − | 2.88064i | 0.132137 | − | 0.110876i | ||||
\(676\) | −1.83936 | − | 3.18586i | −0.0707446 | − | 0.122533i | ||||
\(677\) | 9.26318 | − | 16.0443i | 0.356013 | − | 0.616633i | −0.631278 | − | 0.775557i | \(-0.717469\pi\) |
0.987291 | + | 0.158924i | \(0.0508025\pi\) | |||||||
\(678\) | 1.55954 | + | 8.84461i | 0.0598939 | + | 0.339675i | ||||
\(679\) | 20.2265 | − | 31.2788i | 0.776221 | − | 1.20037i | ||||
\(680\) | 1.23308 | − | 1.03468i | 0.0472866 | − | 0.0396782i | ||||
\(681\) | 21.0424 | − | 7.65881i | 0.806347 | − | 0.293486i | ||||
\(682\) | −1.75404 | + | 9.94767i | −0.0671657 | + | 0.380916i | ||||
\(683\) | −8.49670 | + | 14.7167i | −0.325117 | + | 0.563119i | −0.981536 | − | 0.191277i | \(-0.938737\pi\) |
0.656419 | + | 0.754397i | \(0.272070\pi\) | |||||||
\(684\) | 2.11156 | + | 3.81331i | 0.0807375 | + | 0.145805i | ||||
\(685\) | 14.0431 | 0.536557 | ||||||||
\(686\) | −5.92754 | + | 17.5461i | −0.226314 | + | 0.669912i | ||||
\(687\) | −1.84200 | + | 10.4465i | −0.0702766 | + | 0.398558i | ||||
\(688\) | 9.10551 | + | 3.31413i | 0.347144 | + | 0.126350i | ||||
\(689\) | −8.41765 | + | 3.06377i | −0.320687 | + | 0.116720i | ||||
\(690\) | 5.96992 | + | 2.17287i | 0.227271 | + | 0.0827198i | ||||
\(691\) | −0.163634 | + | 0.283423i | −0.00622493 | + | 0.0107819i | −0.869121 | − | 0.494599i | \(-0.835315\pi\) |
0.862896 | + | 0.505381i | \(0.168648\pi\) | |||||||
\(692\) | −6.84746 | + | 11.8601i | −0.260301 | + | 0.450855i | ||||
\(693\) | −1.40268 | + | 6.12993i | −0.0532833 | + | 0.232857i | ||||
\(694\) | 17.3947 | + | 6.33115i | 0.660294 | + | 0.240327i | ||||
\(695\) | 7.25280 | 0.275114 | ||||||||
\(696\) | −3.08114 | −0.116790 | ||||||||
\(697\) | 10.0534 | + | 3.65914i | 0.380800 | + | 0.138600i | ||||
\(698\) | 5.27266 | − | 29.9027i | 0.199573 | − | 1.13184i | ||||
\(699\) | 2.28935 | − | 1.92100i | 0.0865913 | − | 0.0726588i | ||||
\(700\) | 5.40342 | + | 10.5541i | 0.204230 | + | 0.398908i | ||||
\(701\) | 16.9447 | − | 6.16738i | 0.639994 | − | 0.232939i | −0.00158147 | − | 0.999999i | \(-0.500503\pi\) |
0.641575 | + | 0.767060i | \(0.278281\pi\) | |||||||
\(702\) | 2.04198 | + | 3.53681i | 0.0770695 | + | 0.133488i | ||||
\(703\) | −21.4306 | + | 17.3385i | −0.808269 | + | 0.653936i | ||||
\(704\) | 1.18839 | − | 2.05835i | 0.0447891 | − | 0.0775770i | ||||
\(705\) | 3.02099 | + | 2.53491i | 0.113777 | + | 0.0954703i | ||||
\(706\) | −4.45255 | + | 25.2517i | −0.167574 | + | 0.950360i | ||||
\(707\) | −20.1158 | + | 6.19273i | −0.756532 | + | 0.232902i | ||||
\(708\) | 4.77697 | + | 4.00835i | 0.179529 | + | 0.150643i | ||||
\(709\) | −23.3635 | + | 19.6043i | −0.877436 | + | 0.736257i | −0.965650 | − | 0.259845i | \(-0.916329\pi\) |
0.0882139 | + | 0.996102i | \(0.471884\pi\) | |||||||
\(710\) | 6.93813 | 0.260383 | ||||||||
\(711\) | −3.76582 | − | 6.52259i | −0.141229 | − | 0.244616i | ||||
\(712\) | −0.599273 | − | 3.39864i | −0.0224587 | − | 0.127370i | ||||
\(713\) | −35.2346 | − | 12.8243i | −1.31955 | − | 0.480276i | ||||
\(714\) | −4.71650 | + | 3.56851i | −0.176511 | + | 0.133548i | ||||
\(715\) | −3.49478 | − | 6.05314i | −0.130697 | − | 0.226375i | ||||
\(716\) | −5.18822 | + | 4.35344i | −0.193893 | + | 0.162696i | ||||
\(717\) | 26.6063 | − | 9.68389i | 0.993629 | − | 0.361651i | ||||
\(718\) | −5.81437 | − | 32.9749i | −0.216990 | − | 1.23061i | ||||
\(719\) | −2.63165 | + | 0.957841i | −0.0981438 | + | 0.0357214i | −0.390625 | − | 0.920550i | \(-0.627741\pi\) |
0.292482 | + | 0.956271i | \(0.405519\pi\) | |||||||
\(720\) | −0.676653 | + | 0.246281i | −0.0252174 | + | 0.00917837i | ||||
\(721\) | −22.7090 | + | 17.1817i | −0.845728 | + | 0.639879i | ||||
\(722\) | 17.6102 | + | 7.13300i | 0.655385 | + | 0.265463i | ||||
\(723\) | −4.64774 | − | 8.05011i | −0.172851 | − | 0.299387i | ||||
\(724\) | −3.54275 | + | 20.0919i | −0.131665 | + | 0.746711i | ||||
\(725\) | 10.5776 | + | 8.87566i | 0.392842 | + | 0.329634i | ||||
\(726\) | 5.02823 | + | 1.83012i | 0.186615 | + | 0.0679223i | ||||
\(727\) | 8.16070 | + | 6.84764i | 0.302664 | + | 0.253965i | 0.781452 | − | 0.623965i | \(-0.214479\pi\) |
−0.478788 | + | 0.877930i | \(0.658924\pi\) | |||||||
\(728\) | −10.3269 | + | 3.17917i | −0.382739 | + | 0.117828i | ||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | −7.30986 | −0.270550 | ||||||||
\(731\) | 16.5932 | − | 13.9234i | 0.613723 | − | 0.514975i | ||||
\(732\) | −2.94955 | + | 2.47496i | −0.109018 | + | 0.0914772i | ||||
\(733\) | −8.35365 | −0.308549 | −0.154275 | − | 0.988028i | \(-0.549304\pi\) | ||||
−0.154275 | + | 0.988028i | \(0.549304\pi\) | |||||||
\(734\) | 9.99491 | + | 17.3117i | 0.368919 | + | 0.638986i | ||||
\(735\) | 2.06804 | + | 4.59678i | 0.0762807 | + | 0.169555i | ||||
\(736\) | 6.75859 | + | 5.67113i | 0.249125 | + | 0.209041i | ||||
\(737\) | 23.3844 | + | 8.51124i | 0.861376 | + | 0.313515i | ||||
\(738\) | −3.66626 | − | 3.07635i | −0.134957 | − | 0.113242i | ||||
\(739\) | 4.69680 | − | 26.6369i | 0.172775 | − | 0.979854i | −0.767906 | − | 0.640562i | \(-0.778701\pi\) |
0.940681 | − | 0.339292i | \(-0.110187\pi\) | |||||||
\(740\) | −2.27693 | − | 3.94376i | −0.0837016 | − | 0.144975i | ||||
\(741\) | 16.6164 | + | 6.38681i | 0.610418 | + | 0.234625i | ||||
\(742\) | 0.718419 | + | 5.75863i | 0.0263740 | + | 0.211406i | ||||
\(743\) | 18.9682 | − | 6.90387i | 0.695877 | − | 0.253279i | 0.0302276 | − | 0.999543i | \(-0.490377\pi\) |
0.665650 | + | 0.746264i | \(0.268155\pi\) | |||||||
\(744\) | 3.99362 | − | 1.45356i | 0.146413 | − | 0.0532901i | ||||
\(745\) | 1.85345 | + | 10.5114i | 0.0679051 | + | 0.385109i | ||||
\(746\) | 8.90413 | − | 3.24084i | 0.326003 | − | 0.118656i | ||||
\(747\) | 7.38352 | − | 6.19551i | 0.270149 | − | 0.226682i | ||||
\(748\) | −2.65655 | − | 4.60127i | −0.0971329 | − | 0.168239i | ||||
\(749\) | 1.75989 | + | 14.1067i | 0.0643049 | + | 0.515448i | ||||
\(750\) | 6.41567 | + | 2.33511i | 0.234267 | + | 0.0852663i | ||||
\(751\) | −5.03694 | − | 28.5659i | −0.183801 | − | 1.04238i | −0.927487 | − | 0.373856i | \(-0.878035\pi\) |
0.743686 | − | 0.668529i | \(-0.233076\pi\) | |||||||
\(752\) | 2.73833 | + | 4.74292i | 0.0998566 | + | 0.172957i | ||||
\(753\) | −27.6960 | −1.00930 | ||||||||
\(754\) | −9.63932 | + | 8.08835i | −0.351043 | + | 0.294560i | ||||
\(755\) | 1.92722 | + | 1.61713i | 0.0701388 | + | 0.0588534i | ||||
\(756\) | 2.52864 | − | 0.778452i | 0.0919657 | − | 0.0283120i | ||||
\(757\) | 0.589238 | − | 3.34173i | 0.0214162 | − | 0.121457i | −0.972225 | − | 0.234046i | \(-0.924803\pi\) |
0.993642 | + | 0.112589i | \(0.0359144\pi\) | |||||||
\(758\) | 15.8150 | + | 13.2704i | 0.574426 | + | 0.482001i | ||||
\(759\) | 10.4848 | − | 18.1602i | 0.380575 | − | 0.659175i | ||||
\(760\) | −1.61776 | + | 2.68972i | −0.0586822 | + | 0.0975665i | ||||
\(761\) | 0.672054 | + | 1.16403i | 0.0243619 | + | 0.0421961i | 0.877949 | − | 0.478754i | \(-0.158911\pi\) |
−0.853587 | + | 0.520950i | \(0.825578\pi\) | |||||||
\(762\) | −12.2058 | + | 4.44253i | −0.442168 | + | 0.160936i | ||||
\(763\) | 11.4533 | − | 17.7116i | 0.414636 | − | 0.641205i | ||||
\(764\) | 19.5879 | − | 16.4362i | 0.708667 | − | 0.594642i | ||||
\(765\) | −0.279517 | + | 1.58522i | −0.0101060 | + | 0.0573138i | ||||
\(766\) | −3.59027 | − | 1.30675i | −0.129722 | − | 0.0472149i | ||||
\(767\) | 25.4671 | 0.919564 | ||||||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | −29.1198 | − | 10.5987i | −1.05009 | − | 0.382200i | −0.241390 | − | 0.970428i | \(-0.577603\pi\) |
−0.808695 | + | 0.588228i | \(0.799826\pi\) | |||||||
\(770\) | −4.32768 | + | 1.33230i | −0.155959 | + | 0.0480126i | ||||
\(771\) | 7.47776 | − | 12.9519i | 0.269305 | − | 0.466450i | ||||
\(772\) | −4.88774 | + | 8.46582i | −0.175914 | + | 0.304692i | ||||
\(773\) | −1.93462 | − | 0.704143i | −0.0695833 | − | 0.0253263i | 0.306994 | − | 0.951711i | \(-0.400677\pi\) |
−0.376577 | + | 0.926385i | \(0.622899\pi\) | |||||||
\(774\) | −9.10551 | + | 3.31413i | −0.327291 | + | 0.119124i | ||||
\(775\) | −17.8974 | − | 6.51411i | −0.642892 | − | 0.233994i | ||||
\(776\) | 2.44475 | − | 13.8648i | 0.0877613 | − | 0.497719i | ||||
\(777\) | 7.62511 | + | 14.8936i | 0.273549 | + | 0.534304i | ||||
\(778\) | 16.8174 | 0.602934 | ||||||||
\(779\) | −20.8582 | − | 0.373248i | −0.747321 | − | 0.0133730i | ||||
\(780\) | −1.47039 | + | 2.54678i | −0.0526483 | + | 0.0911895i | ||||
\(781\) | 3.97669 | − | 22.5529i | 0.142297 | − | 0.807007i | ||||
\(782\) | 18.5331 | − | 6.74548i | 0.662741 | − | 0.241218i | ||||
\(783\) | 2.36029 | − | 1.98052i | 0.0843498 | − | 0.0707779i | ||||
\(784\) | 0.515399 | + | 6.98100i | 0.0184071 | + | 0.249321i | ||||
\(785\) | −0.440570 | − | 2.49859i | −0.0157246 | − | 0.0891786i | ||||
\(786\) | −1.00353 | + | 1.73817i | −0.0357949 | + | 0.0619985i | ||||
\(787\) | 1.33704 | + | 2.31582i | 0.0476602 | + | 0.0825499i | 0.888871 | − | 0.458157i | \(-0.151490\pi\) |
−0.841211 | + | 0.540707i | \(0.818157\pi\) | |||||||
\(788\) | −13.9791 | + | 11.7299i | −0.497985 | + | 0.417859i | ||||
\(789\) | 0.671620 | + | 3.80895i | 0.0239103 | + | 0.135602i | ||||
\(790\) | 2.71169 | − | 4.69678i | 0.0964775 | − | 0.167104i | ||||
\(791\) | 18.9491 | − | 14.3369i | 0.673752 | − | 0.509762i | ||||
\(792\) | 0.412723 | + | 2.34067i | 0.0146655 | + | 0.0831721i | ||||
\(793\) | −2.73057 | + | 15.4858i | −0.0969652 | + | 0.549917i | ||||
\(794\) | −4.83854 | − | 27.4407i | −0.171713 | − | 0.973836i | ||||
\(795\) | 1.20992 | + | 1.01525i | 0.0429115 | + | 0.0360070i | ||||
\(796\) | −7.58241 | − | 6.36240i | −0.268751 | − | 0.225509i | ||||
\(797\) | −3.86970 | −0.137072 | −0.0685360 | − | 0.997649i | \(-0.521833\pi\) | ||||
−0.0685360 | + | 0.997649i | \(0.521833\pi\) | |||||||
\(798\) | 6.43456 | − | 9.57060i | 0.227781 | − | 0.338796i | ||||
\(799\) | 12.2426 | 0.433113 | ||||||||
\(800\) | 3.43302 | + | 2.88064i | 0.121376 | + | 0.101846i | ||||
\(801\) | 2.64368 | + | 2.21831i | 0.0934097 | + | 0.0783801i | ||||
\(802\) | −0.740509 | − | 4.19964i | −0.0261483 | − | 0.148294i | ||||
\(803\) | −4.18975 | + | 23.7613i | −0.147853 | + | 0.838516i | ||||
\(804\) | −1.81812 | − | 10.3111i | −0.0641201 | − | 0.363643i | ||||
\(805\) | −2.08083 | − | 16.6793i | −0.0733396 | − | 0.587868i | ||||
\(806\) | 8.67826 | − | 15.0312i | 0.305679 | − | 0.529451i | ||||
\(807\) | 5.14548 | + | 29.1815i | 0.181129 | + | 1.02724i | ||||
\(808\) | −6.09403 | + | 5.11349i | −0.214387 | + | 0.179892i | ||||
\(809\) | 13.3189 | + | 23.0691i | 0.468269 | + | 0.811066i | 0.999342 | − | 0.0362599i | \(-0.0115444\pi\) |
−0.531073 | + | 0.847326i | \(0.678211\pi\) | |||||||
\(810\) | 0.360039 | − | 0.623606i | 0.0126505 | − | 0.0219113i | ||||
\(811\) | 8.23322 | + | 46.6929i | 0.289108 | + | 1.63961i | 0.690233 | + | 0.723587i | \(0.257508\pi\) |
−0.401125 | + | 0.916023i | \(0.631381\pi\) | |||||||
\(812\) | 3.71499 | + | 7.25622i | 0.130370 | + | 0.254643i | ||||
\(813\) | −5.84180 | + | 4.90185i | −0.204881 | + | 0.171915i | ||||
\(814\) | −14.1245 | + | 5.14091i | −0.495065 | + | 0.180189i | ||||
\(815\) | 2.40070 | − | 13.6150i | 0.0840929 | − | 0.476914i | ||||
\(816\) | −1.11771 | + | 1.93593i | −0.0391276 | + | 0.0677711i | ||||
\(817\) | −21.7697 | + | 36.1948i | −0.761624 | + | 1.26630i | ||||
\(818\) | 31.0868 | 1.08692 | ||||||||
\(819\) | 5.86730 | − | 9.07336i | 0.205020 | − | 0.317049i | ||||
\(820\) | 0.598438 | − | 3.39391i | 0.0208984 | − | 0.118520i | ||||
\(821\) | −11.7465 | − | 4.27536i | −0.409954 | − | 0.149211i | 0.128807 | − | 0.991670i | \(-0.458885\pi\) |
−0.538761 | + | 0.842459i | \(0.681107\pi\) | |||||||
\(822\) | −18.3260 | + | 6.67011i | −0.639192 | + | 0.232647i | ||||
\(823\) | 44.4105 | + | 16.1641i | 1.54805 | + | 0.563446i | 0.967960 | − | 0.251104i | \(-0.0807935\pi\) |
0.580094 | + | 0.814549i | \(0.303016\pi\) | |||||||
\(824\) | −5.38155 | + | 9.32112i | −0.187475 | + | 0.324717i | ||||
\(825\) | 5.32575 | − | 9.22447i | 0.185419 | − | 0.321155i | ||||
\(826\) | 3.68017 | − | 16.0829i | 0.128049 | − | 0.559597i | ||||
\(827\) | 27.4717 | + | 9.99888i | 0.955284 | + | 0.347695i | 0.772184 | − | 0.635399i | \(-0.219164\pi\) |
0.183100 | + | 0.983094i | \(0.441387\pi\) | |||||||
\(828\) | −8.82272 | −0.306611 | ||||||||
\(829\) | 8.83464 | 0.306840 | 0.153420 | − | 0.988161i | \(-0.450971\pi\) | ||||
0.153420 | + | 0.988161i | \(0.450971\pi\) | |||||||
\(830\) | 6.52191 | + | 2.37378i | 0.226379 | + | 0.0823952i | ||||
\(831\) | 2.80124 | − | 15.8866i | 0.0971740 | − | 0.551101i | ||||
\(832\) | −3.12849 | + | 2.62512i | −0.108461 | + | 0.0910096i | ||||
\(833\) | 14.0908 | + | 6.80495i | 0.488217 | + | 0.235778i | ||||
\(834\) | −9.46481 | + | 3.44491i | −0.327739 | + | 0.119287i | ||||
\(835\) | 1.78674 | + | 3.09473i | 0.0618328 | + | 0.107097i | ||||
\(836\) | 7.81591 | + | 6.80029i | 0.270319 | + | 0.235193i | ||||
\(837\) | −2.12496 | + | 3.68054i | −0.0734494 | + | 0.127218i | ||||
\(838\) | 8.03342 | + | 6.74084i | 0.277510 | + | 0.232859i | ||||
\(839\) | −9.80143 | + | 55.5867i | −0.338383 | + | 1.91906i | 0.0524932 | + | 0.998621i | \(0.483283\pi\) |
−0.390876 | + | 0.920443i | \(0.627828\pi\) | |||||||
\(840\) | 1.39586 | + | 1.29660i | 0.0481616 | + | 0.0447370i | ||||
\(841\) | −14.9429 | − | 12.5386i | −0.515273 | − | 0.432366i | ||||
\(842\) | −29.4702 | + | 24.7284i | −1.01561 | + | 0.852199i | ||||
\(843\) | 6.51467 | 0.224377 | ||||||||
\(844\) | −3.05855 | − | 5.29757i | −0.105280 | − | 0.182350i | ||||
\(845\) | 0.459988 | + | 2.60872i | 0.0158241 | + | 0.0897428i | ||||
\(846\) | −5.14637 | − | 1.87313i | −0.176936 | − | 0.0643994i | ||||
\(847\) | −1.75260 | − | 14.0483i | −0.0602201 | − | 0.482706i | ||||
\(848\) | 1.09671 | + | 1.89957i | 0.0376613 | + | 0.0652313i | ||||
\(849\) | 8.51268 | − | 7.14299i | 0.292154 | − | 0.245147i | ||||
\(850\) | 9.41384 | − | 3.42636i | 0.322892 | − | 0.117523i | ||||
\(851\) | −9.68885 | − | 54.9482i | −0.332130 | − | 1.88360i | ||||
\(852\) | −9.05417 | + | 3.29545i | −0.310191 | + | 0.112900i | ||||
\(853\) | 5.80827 | − | 2.11404i | 0.198871 | − | 0.0723833i | −0.240664 | − | 0.970608i | \(-0.577365\pi\) |
0.439536 | + | 0.898225i | \(0.355143\pi\) | |||||||
\(854\) | 9.38497 | + | 3.96220i | 0.321147 | + | 0.135584i | ||||
\(855\) | −0.489647 | − | 3.10032i | −0.0167456 | − | 0.106029i | ||||
\(856\) | 2.68659 | + | 4.65330i | 0.0918256 | + | 0.159047i | ||||
\(857\) | −7.39960 | + | 41.9652i | −0.252765 | + | 1.43350i | 0.548979 | + | 0.835836i | \(0.315017\pi\) |
−0.801744 | + | 0.597667i | \(0.796094\pi\) | |||||||
\(858\) | 7.43573 | + | 6.23932i | 0.253852 | + | 0.213007i | ||||
\(859\) | 37.7418 | + | 13.7369i | 1.28773 | + | 0.468697i | 0.892983 | − | 0.450091i | \(-0.148608\pi\) |
0.394751 | + | 0.918788i | \(0.370831\pi\) | |||||||
\(860\) | −5.34506 | − | 4.48503i | −0.182265 | − | 0.152938i | ||||
\(861\) | −2.82448 | + | 12.3434i | −0.0962580 | + | 0.420663i | ||||
\(862\) | −9.95395 | − | 17.2408i | −0.339033 | − | 0.587222i | ||||
\(863\) | 29.2315 | 0.995050 | 0.497525 | − | 0.867450i | \(-0.334242\pi\) | ||||
0.497525 | + | 0.867450i | \(0.334242\pi\) | |||||||
\(864\) | 0.766044 | − | 0.642788i | 0.0260614 | − | 0.0218681i | ||||
\(865\) | 7.55428 | − | 6.33880i | 0.256853 | − | 0.215526i | ||||
\(866\) | 2.67775 | 0.0909937 | ||||||||
\(867\) | −6.00145 | − | 10.3948i | −0.203820 | − | 0.353027i | ||||
\(868\) | −8.23839 | − | 7.65258i | −0.279629 | − | 0.259745i | ||||
\(869\) | −13.7130 | − | 11.5066i | −0.465181 | − | 0.390334i | ||||
\(870\) | 2.08486 | + | 0.758827i | 0.0706833 | + | 0.0257266i | ||||
\(871\) | −32.7558 | − | 27.4853i | −1.10989 | − | 0.931305i | ||||
\(872\) | 1.38434 | − | 7.85098i | 0.0468796 | − | 0.265868i | ||||
\(873\) | 7.03937 | + | 12.1925i | 0.238246 | + | 0.412655i | ||||
\(874\) | −29.8976 | + | 24.1889i | −1.01130 | + | 0.818200i | ||||
\(875\) | −2.23620 | − | 17.9247i | −0.0755974 | − | 0.605965i | ||||
\(876\) | 9.53927 | − | 3.47201i | 0.322302 | − | 0.117308i | ||||
\(877\) | 3.52906 | − | 1.28447i | 0.119168 | − | 0.0433736i | −0.281748 | − | 0.959488i | \(-0.590914\pi\) |
0.400916 | + | 0.916115i | \(0.368692\pi\) | |||||||
\(878\) | −5.35135 | − | 30.3490i | −0.180599 | − | 1.02423i | ||||
\(879\) | −8.73403 | + | 3.17893i | −0.294592 | + | 0.107223i | ||||
\(880\) | −1.31106 | + | 1.10011i | −0.0441958 | + | 0.0370847i | ||||
\(881\) | 5.34678 | + | 9.26090i | 0.180138 | + | 0.312008i | 0.941927 | − | 0.335817i | \(-0.109012\pi\) |
−0.761790 | + | 0.647824i | \(0.775679\pi\) | |||||||
\(882\) | −4.88212 | − | 5.01646i | −0.164390 | − | 0.168913i | ||||
\(883\) | −2.95857 | − | 1.07683i | −0.0995639 | − | 0.0362383i | 0.291758 | − | 0.956492i | \(-0.405760\pi\) |
−0.391322 | + | 0.920254i | \(0.627982\pi\) | |||||||
\(884\) | 1.58530 | + | 8.99066i | 0.0533193 | + | 0.302389i | ||||
\(885\) | −2.24517 | − | 3.88874i | −0.0754704 | − | 0.130719i | ||||
\(886\) | 21.3700 | 0.717939 | ||||||||
\(887\) | 41.0500 | − | 34.4451i | 1.37832 | − | 1.15655i | 0.408497 | − | 0.912760i | \(-0.366053\pi\) |
0.969828 | − | 0.243792i | \(-0.0783915\pi\) | |||||||
\(888\) | 4.84455 | + | 4.06506i | 0.162573 | + | 0.136415i | ||||
\(889\) | 25.1791 | + | 23.3887i | 0.844479 | + | 0.784431i | ||||
\(890\) | −0.431524 | + | 2.44729i | −0.0144647 | + | 0.0820334i | ||||
\(891\) | −1.82072 | − | 1.52776i | −0.0609963 | − | 0.0511820i | ||||
\(892\) | 6.35686 | − | 11.0104i | 0.212843 | − | 0.368656i | ||||
\(893\) | −22.5750 | + | 7.76211i | −0.755444 | + | 0.259749i | ||||
\(894\) | −7.41141 | − | 12.8369i | −0.247874 | − | 0.429331i | ||||
\(895\) | 4.58280 | − | 1.66800i | 0.153186 | − | 0.0557551i | ||||
\(896\) | 1.20572 | + | 2.35505i | 0.0402803 | + | 0.0786766i | ||||
\(897\) | −27.6018 | + | 23.1607i | −0.921598 | + | 0.773312i | ||||
\(898\) | 2.66545 | − | 15.1165i | 0.0889473 | − | 0.504445i | ||||
\(899\) | −12.3049 | − | 4.47862i | −0.410391 | − | 0.149370i | ||||
\(900\) | −4.48149 | −0.149383 | ||||||||
\(901\) | 4.90323 | 0.163350 | ||||||||
\(902\) | −10.6892 | − | 3.89053i | −0.355910 | − | 0.129541i | ||||
\(903\) | 18.7836 | + | 17.4480i | 0.625080 | + | 0.580632i | ||||
\(904\) | 4.49053 | − | 7.77782i | 0.149353 | − | 0.258686i | ||||
\(905\) | 7.34548 | − | 12.7227i | 0.244172 | − | 0.422919i | ||||
\(906\) | −3.28310 | − | 1.19495i | −0.109074 | − | 0.0396995i | ||||
\(907\) | 7.39398 | − | 2.69119i | 0.245513 | − | 0.0893594i | −0.216333 | − | 0.976320i | \(-0.569410\pi\) |
0.461846 | + | 0.886960i | \(0.347187\pi\) | |||||||
\(908\) | −21.0424 | − | 7.65881i | −0.698317 | − | 0.254167i | ||||
\(909\) | 1.38140 | − | 7.83433i | 0.0458183 | − | 0.259848i | ||||
\(910\) | 7.77066 | + | 0.392120i | 0.257595 | + | 0.0129987i | ||||
\(911\) | −55.7130 | −1.84585 | −0.922927 | − | 0.384974i | \(-0.874210\pi\) | ||||
−0.922927 | + | 0.384974i | \(0.874210\pi\) | |||||||
\(912\) | 0.833597 | − | 4.27845i | 0.0276032 | − | 0.141674i | ||||
\(913\) | 11.4543 | − | 19.8394i | 0.379081 | − | 0.656588i | ||||
\(914\) | −0.295986 | + | 1.67862i | −0.00979034 | + | 0.0555238i | ||||
\(915\) | 2.60535 | − | 0.948272i | 0.0861304 | − | 0.0313489i | ||||
\(916\) | 8.12593 | − | 6.81846i | 0.268488 | − | 0.225288i | ||||
\(917\) | 5.30345 | + | 0.267621i | 0.175136 | + | 0.00883763i | ||||
\(918\) | −0.388176 | − | 2.20146i | −0.0128117 | − | 0.0726589i | ||||
\(919\) | −4.62798 | + | 8.01589i | −0.152663 | + | 0.264420i | −0.932206 | − | 0.361929i | \(-0.882118\pi\) |
0.779543 | + | 0.626349i | \(0.215452\pi\) | |||||||
\(920\) | −3.17653 | − | 5.50190i | −0.104727 | − | 0.181392i | ||||
\(921\) | −9.00189 | + | 7.55348i | −0.296622 | + | 0.248896i | ||||
\(922\) | 3.01854 | + | 17.1190i | 0.0994104 | + | 0.563784i | ||||
\(923\) | −19.6750 | + | 34.0780i | −0.647609 | + | 1.12169i | ||||
\(924\) | 5.01476 | − | 3.79417i | 0.164973 | − | 0.124819i | ||||
\(925\) | −4.92144 | − | 27.9109i | −0.161816 | − | 0.917704i | ||||
\(926\) | −6.37101 | + | 36.1318i | −0.209364 | + | 1.18736i | ||||
\(927\) | −1.86899 | − | 10.5996i | −0.0613858 | − | 0.348136i | ||||
\(928\) | 2.36029 | + | 1.98052i | 0.0774802 | + | 0.0650136i | ||||
\(929\) | −38.7794 | − | 32.5397i | −1.27231 | − | 1.06759i | −0.994256 | − | 0.107029i | \(-0.965866\pi\) |
−0.278054 | − | 0.960566i | \(-0.589689\pi\) | |||||||
\(930\) | −3.06028 | −0.100351 | ||||||||
\(931\) | −30.2975 | − | 3.61423i | −0.992960 | − | 0.118452i | ||||
\(932\) | −2.98854 | −0.0978929 | ||||||||
\(933\) | −20.1028 | − | 16.8682i | −0.658136 | − | 0.552241i | ||||
\(934\) | −7.57947 | − | 6.35993i | −0.248008 | − | 0.208103i | ||||
\(935\) | 0.664351 | + | 3.76772i | 0.0217266 | + | 0.123218i | ||||
\(936\) | 0.709172 | − | 4.02191i | 0.0231800 | − | 0.131460i | ||||
\(937\) | −5.83992 | − | 33.1199i | −0.190782 | − | 1.08198i | −0.918299 | − | 0.395888i | \(-0.870437\pi\) |
0.727517 | − | 0.686090i | \(-0.240674\pi\) | |||||||
\(938\) | −22.0909 | + | 16.7140i | −0.721294 | + | 0.545732i | ||||
\(939\) | 13.0551 | − | 22.6120i | 0.426036 | − | 0.737916i | ||||
\(940\) | −0.684803 | − | 3.88371i | −0.0223358 | − | 0.126673i | ||||
\(941\) | −14.2259 | + | 11.9370i | −0.463752 | + | 0.389134i | −0.844509 | − | 0.535541i | \(-0.820108\pi\) |
0.380757 | + | 0.924675i | \(0.375663\pi\) | |||||||
\(942\) | 1.76171 | + | 3.05137i | 0.0573996 | + | 0.0994190i | ||||
\(943\) | 21.1126 | − | 36.5681i | 0.687520 | − | 1.19082i | ||||
\(944\) | −1.08285 | − | 6.14115i | −0.0352438 | − | 0.199877i | ||||
\(945\) | −1.90273 | − | 0.0960148i | −0.0618958 | − | 0.00312336i | ||||
\(946\) | −17.6425 | + | 14.8038i | −0.573608 | + | 0.481314i | ||||
\(947\) | −23.7145 | + | 8.63136i | −0.770616 | + | 0.280481i | −0.697254 | − | 0.716824i | \(-0.745595\pi\) |
−0.0733621 | + | 0.997305i | \(0.523373\pi\) | |||||||
\(948\) | −1.30786 | + | 7.41722i | −0.0424772 | + | 0.240900i | ||||
\(949\) | 20.7291 | − | 35.9039i | 0.672895 | − | 1.16549i | ||||
\(950\) | −15.1864 | + | 12.2867i | −0.492713 | + | 0.398633i | ||||
\(951\) | −23.7599 | −0.770467 | ||||||||
\(952\) | 5.90684 | + | 0.298069i | 0.191442 | + | 0.00966048i | ||||
\(953\) | −0.660400 | + | 3.74532i | −0.0213925 | + | 0.121323i | −0.993634 | − | 0.112657i | \(-0.964064\pi\) |
0.972241 | + | 0.233980i | \(0.0751750\pi\) | |||||||
\(954\) | −2.06115 | − | 0.750197i | −0.0667322 | − | 0.0242885i | ||||
\(955\) | −17.3022 | + | 6.29748i | −0.559885 | + | 0.203782i | ||||
\(956\) | −26.6063 | − | 9.68389i | −0.860508 | − | 0.313199i | ||||
\(957\) | 3.66159 | − | 6.34206i | 0.118362 | − | 0.205010i | ||||
\(958\) | 2.92200 | − | 5.06104i | 0.0944054 | − | 0.163515i | ||||
\(959\) | 37.8044 | + | 35.1163i | 1.22077 | + | 1.13396i | ||||
\(960\) | 0.676653 | + | 0.246281i | 0.0218389 | + | 0.00794870i | ||||
\(961\) | −12.9381 | −0.417360 | ||||||||
\(962\) | 25.8274 | 0.832710 | ||||||||
\(963\) | −5.04913 | − | 1.83773i | −0.162706 | − | 0.0592201i | ||||
\(964\) | −1.61414 | + | 9.15425i | −0.0519880 | + | 0.294839i | ||||
\(965\) | 5.39228 | − | 4.52466i | 0.173584 | − | 0.145654i | ||||
\(966\) | 10.6377 | + | 20.7779i | 0.342263 | + | 0.668518i | ||||
\(967\) | 12.7545 | − | 4.64226i | 0.410157 | − | 0.149285i | −0.128697 | − | 0.991684i | \(-0.541080\pi\) |
0.538854 | + | 0.842399i | \(0.318857\pi\) | |||||||
\(968\) | −2.67546 | − | 4.63404i | −0.0859927 | − | 0.148944i | ||||
\(969\) | −7.35105 | − | 6.39584i | −0.236150 | − | 0.205464i | ||||
\(970\) | −5.06890 | + | 8.77959i | −0.162753 | + | 0.281896i | ||||
\(971\) | 24.3440 | + | 20.4270i | 0.781235 | + | 0.655534i | 0.943559 | − | 0.331203i | \(-0.107455\pi\) |
−0.162324 | + | 0.986737i | \(0.551899\pi\) | |||||||
\(972\) | −0.173648 | + | 0.984808i | −0.00556977 | + | 0.0315877i | ||||
\(973\) | 19.5248 | + | 18.1365i | 0.625937 | + | 0.581428i | ||||
\(974\) | 1.98510 | + | 1.66570i | 0.0636067 | + | 0.0533724i | ||||
\(975\) | −14.0203 | + | 11.7644i | −0.449009 | + | 0.376763i | ||||
\(976\) | 3.85036 | 0.123247 | ||||||||
\(977\) | −2.60552 | − | 4.51290i | −0.0833580 | − | 0.144380i | 0.821332 | − | 0.570450i | \(-0.193231\pi\) |
−0.904690 | + | 0.426070i | \(0.859898\pi\) | |||||||
\(978\) | 3.33394 | + | 18.9077i | 0.106608 | + | 0.604602i | ||||
\(979\) | 7.70777 | + | 2.80540i | 0.246341 | + | 0.0896609i | ||||
\(980\) | 1.37054 | − | 4.85065i | 0.0437804 | − | 0.154948i | ||||
\(981\) | 3.98605 | + | 6.90403i | 0.127265 | + | 0.220429i | ||||
\(982\) | 5.23214 | − | 4.39028i | 0.166964 | − | 0.140100i | ||||
\(983\) | −38.8610 | + | 14.1442i | −1.23947 | + | 0.451131i | −0.876832 | − | 0.480797i | \(-0.840347\pi\) |
−0.362642 | + | 0.931929i | \(0.618125\pi\) | |||||||
\(984\) | 0.831073 | + | 4.71325i | 0.0264936 | + | 0.150253i | ||||
\(985\) | 12.3479 | − | 4.49425i | 0.393435 | − | 0.143199i | ||||
\(986\) | 6.47225 | − | 2.35571i | 0.206119 | − | 0.0750210i | ||||
\(987\) | 1.79378 | + | 14.3784i | 0.0570967 | + | 0.457670i | ||||
\(988\) | −8.62353 | − | 15.5734i | −0.274351 | − | 0.495455i | ||||
\(989\) | −42.7455 | − | 74.0374i | −1.35923 | − | 2.35425i | ||||
\(990\) | 0.297193 | − | 1.68547i | 0.00944542 | − | 0.0535676i | ||||
\(991\) | −22.1468 | − | 18.5834i | −0.703517 | − | 0.590321i | 0.219255 | − | 0.975668i | \(-0.429637\pi\) |
−0.922772 | + | 0.385347i | \(0.874082\pi\) | |||||||
\(992\) | −3.99362 | − | 1.45356i | −0.126798 | − | 0.0461506i | ||||
\(993\) | −3.18521 | − | 2.67271i | −0.101080 | − | 0.0848158i | ||||
\(994\) | 18.6777 | + | 17.3496i | 0.592421 | + | 0.550296i | ||||
\(995\) | 3.56372 | + | 6.17254i | 0.112977 | + | 0.195683i | ||||
\(996\) | −9.63849 | −0.305407 | ||||||||
\(997\) | −31.9300 | + | 26.7925i | −1.01123 | + | 0.848525i | −0.988501 | − | 0.151216i | \(-0.951681\pi\) |
−0.0227326 | + | 0.999742i | \(0.507237\pi\) | |||||||
\(998\) | −0.872360 | + | 0.731997i | −0.0276141 | + | 0.0231710i | ||||
\(999\) | −6.32412 | −0.200086 |
(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 | 798.2.bp.e.613.4 | yes | 42 | |
7.2 | even | 3 | 798.2.bq.f.499.4 | yes | 42 | ||
19.4 | even | 9 | 798.2.bq.f.403.4 | yes | 42 | ||
133.23 | even | 9 | inner | 798.2.bp.e.289.4 | ✓ | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
798.2.bp.e.289.4 | ✓ | 42 | 133.23 | even | 9 | inner | |
798.2.bp.e.613.4 | yes | 42 | 1.1 | even | 1 | trivial | |
798.2.bq.f.403.4 | yes | 42 | 19.4 | even | 9 | ||
798.2.bq.f.499.4 | yes | 42 | 7.2 | even | 3 |