Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), not 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 403.4 | ||
Character | \(\chi\) | \(=\) | 605.403 |
Dual form | 605.2.m.d.602.4 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.396609 | + | 2.50409i | 0.280445 | + | 1.77066i | 0.578081 | + | 0.815980i | \(0.303802\pi\) |
−0.297636 | + | 0.954679i | \(0.596198\pi\) | |||||||
\(3\) | −1.78637 | + | 0.910200i | −1.03136 | + | 0.525504i | −0.885908 | − | 0.463861i | \(-0.846464\pi\) |
−0.145452 | + | 0.989365i | \(0.546464\pi\) | |||||||
\(4\) | −4.21106 | + | 1.36825i | −2.10553 | + | 0.684127i | ||||
\(5\) | −2.22815 | − | 0.188039i | −0.996458 | − | 0.0840934i | ||||
\(6\) | −2.98771 | − | 4.11224i | −1.21973 | − | 1.67881i | ||||
\(7\) | 0.820825 | − | 1.61096i | 0.310243 | − | 0.608885i | −0.682260 | − | 0.731110i | \(-0.739003\pi\) |
0.992502 | + | 0.122224i | \(0.0390028\pi\) | |||||||
\(8\) | −2.79437 | − | 5.48426i | −0.987958 | − | 1.93898i | ||||
\(9\) | 0.599293 | − | 0.824856i | 0.199764 | − | 0.274952i | ||||
\(10\) | −0.412838 | − | 5.65406i | −0.130551 | − | 1.78797i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 6.27711 | − | 6.27711i | 1.81205 | − | 1.81205i | ||||
\(13\) | −2.22802 | + | 0.352884i | −0.617943 | + | 0.0978725i | −0.457555 | − | 0.889181i | \(-0.651275\pi\) |
−0.160388 | + | 0.987054i | \(0.551275\pi\) | |||||||
\(14\) | 4.35953 | + | 1.41650i | 1.16513 | + | 0.378575i | ||||
\(15\) | 4.15145 | − | 1.69215i | 1.07190 | − | 0.436912i | ||||
\(16\) | 5.46052 | − | 3.96730i | 1.36513 | − | 0.991826i | ||||
\(17\) | 3.32262 | + | 0.526252i | 0.805854 | + | 0.127635i | 0.545753 | − | 0.837946i | \(-0.316244\pi\) |
0.260102 | + | 0.965581i | \(0.416244\pi\) | |||||||
\(18\) | 2.30320 | + | 1.17354i | 0.542869 | + | 0.276606i | ||||
\(19\) | −0.403535 | + | 1.24195i | −0.0925772 | + | 0.284923i | −0.986615 | − | 0.163069i | \(-0.947861\pi\) |
0.894037 | + | 0.447992i | \(0.147861\pi\) | |||||||
\(20\) | 9.64014 | − | 2.25683i | 2.15560 | − | 0.504643i | ||||
\(21\) | 3.62488i | 0.791014i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.16488 | − | 3.16488i | −0.659922 | − | 0.659922i | 0.295439 | − | 0.955362i | \(-0.404534\pi\) |
−0.955362 | + | 0.295439i | \(0.904534\pi\) | |||||||
\(24\) | 9.98354 | + | 7.25347i | 2.03788 | + | 1.48061i | ||||
\(25\) | 4.92928 | + | 0.837955i | 0.985857 | + | 0.167591i | ||||
\(26\) | −1.76731 | − | 5.43922i | −0.346598 | − | 1.06672i | ||||
\(27\) | 0.621127 | − | 3.92164i | 0.119536 | − | 0.754720i | ||||
\(28\) | −1.25234 | + | 7.90694i | −0.236669 | + | 1.49427i | ||||
\(29\) | −0.907432 | − | 2.79279i | −0.168506 | − | 0.518608i | 0.830772 | − | 0.556614i | \(-0.187900\pi\) |
−0.999278 | + | 0.0380055i | \(0.987900\pi\) | |||||||
\(30\) | 5.88381 | + | 9.72447i | 1.07423 | + | 1.77544i | ||||
\(31\) | 3.24439 | + | 2.35719i | 0.582710 | + | 0.423363i | 0.839700 | − | 0.543051i | \(-0.182731\pi\) |
−0.256990 | + | 0.966414i | \(0.582731\pi\) | |||||||
\(32\) | 3.39552 | + | 3.39552i | 0.600248 | + | 0.600248i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 8.52886i | 1.46269i | ||||||||
\(35\) | −2.13184 | + | 3.43511i | −0.360347 | + | 0.580639i | ||||
\(36\) | −1.39504 | + | 4.29350i | −0.232507 | + | 0.715584i | ||||
\(37\) | −2.85918 | − | 1.45682i | −0.470046 | − | 0.239500i | 0.202889 | − | 0.979202i | \(-0.434967\pi\) |
−0.672935 | + | 0.739701i | \(0.734967\pi\) | |||||||
\(38\) | −3.27001 | − | 0.517918i | −0.530465 | − | 0.0840174i | ||||
\(39\) | 3.65888 | − | 2.65833i | 0.585889 | − | 0.425674i | ||||
\(40\) | 5.19501 | + | 12.7452i | 0.821404 | + | 2.01519i | ||||
\(41\) | −1.23988 | − | 0.402861i | −0.193637 | − | 0.0629163i | 0.210593 | − | 0.977574i | \(-0.432460\pi\) |
−0.404230 | + | 0.914657i | \(0.632460\pi\) | |||||||
\(42\) | −9.07703 | + | 1.43766i | −1.40062 | + | 0.221836i | ||||
\(43\) | −4.55431 | + | 4.55431i | −0.694526 | + | 0.694526i | −0.963224 | − | 0.268698i | \(-0.913407\pi\) |
0.268698 | + | 0.963224i | \(0.413407\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.49042 | + | 1.72521i | −0.222178 | + | 0.257179i | ||||
\(46\) | 6.66992 | − | 9.18035i | 0.983426 | − | 1.35357i | ||||
\(47\) | −3.50645 | − | 6.88180i | −0.511469 | − | 1.00381i | −0.991929 | − | 0.126797i | \(-0.959530\pi\) |
0.480460 | − | 0.877017i | \(-0.340470\pi\) | |||||||
\(48\) | −6.14347 | + | 12.0572i | −0.886734 | + | 1.74031i | ||||
\(49\) | 2.19306 | + | 3.01849i | 0.313294 | + | 0.431213i | ||||
\(50\) | −0.143318 | + | 12.6757i | −0.0202682 | + | 1.79262i | ||||
\(51\) | −6.41442 | + | 2.08417i | −0.898199 | + | 0.291843i | ||||
\(52\) | 8.89950 | − | 4.53452i | 1.23414 | − | 0.628825i | ||||
\(53\) | −0.996331 | − | 6.29058i | −0.136857 | − | 0.864078i | −0.956612 | − | 0.291365i | \(-0.905891\pi\) |
0.819756 | − | 0.572714i | \(-0.194109\pi\) | |||||||
\(54\) | 10.0665 | 1.36988 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −11.1286 | −1.48712 | ||||||||
\(57\) | −0.409564 | − | 2.58588i | −0.0542480 | − | 0.342509i | ||||
\(58\) | 6.63350 | − | 3.37994i | 0.871021 | − | 0.443808i | ||||
\(59\) | 11.7815 | − | 3.82803i | 1.53382 | − | 0.498368i | 0.584155 | − | 0.811642i | \(-0.301426\pi\) |
0.949663 | + | 0.313274i | \(0.101426\pi\) | |||||||
\(60\) | −15.1667 | + | 12.8060i | −1.95801 | + | 1.65325i | ||||
\(61\) | −5.47229 | − | 7.53196i | −0.700655 | − | 0.964369i | −0.999948 | − | 0.0102078i | \(-0.996751\pi\) |
0.299293 | − | 0.954161i | \(-0.403249\pi\) | |||||||
\(62\) | −4.61586 | + | 9.05913i | −0.586214 | + | 1.15051i | ||||
\(63\) | −0.836895 | − | 1.64250i | −0.105439 | − | 0.206935i | ||||
\(64\) | 0.778618 | − | 1.07168i | 0.0973272 | − | 0.133959i | ||||
\(65\) | 5.03072 | − | 0.367324i | 0.623984 | − | 0.0455609i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.46236 | + | 2.46236i | −0.300825 | + | 0.300825i | −0.841336 | − | 0.540512i | \(-0.818231\pi\) |
0.540512 | + | 0.841336i | \(0.318231\pi\) | |||||||
\(68\) | −14.7118 | + | 2.33012i | −1.78407 | + | 0.282569i | ||||
\(69\) | 8.53431 | + | 2.77296i | 1.02741 | + | 0.333826i | ||||
\(70\) | −9.44733 | − | 3.97593i | −1.12917 | − | 0.475214i | ||||
\(71\) | 5.47805 | − | 3.98004i | 0.650125 | − | 0.472344i | −0.213188 | − | 0.977011i | \(-0.568385\pi\) |
0.863314 | + | 0.504667i | \(0.168385\pi\) | |||||||
\(72\) | −6.19837 | − | 0.981725i | −0.730485 | − | 0.115697i | ||||
\(73\) | −8.41458 | − | 4.28744i | −0.984852 | − | 0.501807i | −0.114068 | − | 0.993473i | \(-0.536388\pi\) |
−0.870784 | + | 0.491666i | \(0.836388\pi\) | |||||||
\(74\) | 2.51404 | − | 7.73743i | 0.292252 | − | 0.899458i | ||||
\(75\) | −9.56823 | + | 2.98974i | −1.10484 | + | 0.345225i | ||||
\(76\) | − | 5.78207i | − | 0.663249i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 8.10784 | + | 8.10784i | 0.918032 | + | 0.918032i | ||||
\(79\) | 0.926417 | + | 0.673081i | 0.104230 | + | 0.0757276i | 0.638679 | − | 0.769473i | \(-0.279481\pi\) |
−0.534449 | + | 0.845200i | \(0.679481\pi\) | |||||||
\(80\) | −12.9129 | + | 7.81295i | −1.44370 | + | 0.873514i | ||||
\(81\) | 3.40512 | + | 10.4799i | 0.378347 | + | 1.16443i | ||||
\(82\) | 0.517053 | − | 3.26455i | 0.0570990 | − | 0.360509i | ||||
\(83\) | 1.63706 | − | 10.3360i | 0.179690 | − | 1.13452i | −0.718699 | − | 0.695321i | \(-0.755262\pi\) |
0.898390 | − | 0.439199i | \(-0.144738\pi\) | |||||||
\(84\) | −4.95976 | − | 15.2646i | −0.541155 | − | 1.66550i | ||||
\(85\) | −7.30434 | − | 1.79735i | −0.792267 | − | 0.194950i | ||||
\(86\) | −13.2107 | − | 9.59813i | −1.42454 | − | 1.03499i | ||||
\(87\) | 4.16301 | + | 4.16301i | 0.446321 | + | 0.446321i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 3.85743i | − | 0.408887i | −0.978878 | − | 0.204443i | \(-0.934462\pi\) | ||
0.978878 | − | 0.204443i | \(-0.0655384\pi\) | |||||||
\(90\) | −4.91120 | − | 3.04791i | −0.517686 | − | 0.321278i | ||||
\(91\) | −1.26034 | + | 3.87891i | −0.132119 | + | 0.406621i | ||||
\(92\) | 17.6578 | + | 8.99711i | 1.84096 | + | 0.938014i | ||||
\(93\) | −7.94119 | − | 1.25776i | −0.823463 | − | 0.130424i | ||||
\(94\) | 15.8420 | − | 11.5099i | 1.63397 | − | 1.18715i | ||||
\(95\) | 1.13267 | − | 2.69137i | 0.116209 | − | 0.276129i | ||||
\(96\) | −9.15625 | − | 2.97505i | −0.934506 | − | 0.303639i | ||||
\(97\) | 0.768472 | − | 0.121714i | 0.0780266 | − | 0.0123582i | −0.117299 | − | 0.993097i | \(-0.537424\pi\) |
0.195326 | + | 0.980738i | \(0.437424\pi\) | |||||||
\(98\) | −6.68878 | + | 6.68878i | −0.675669 | + | 0.675669i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −21.9040 | + | 3.21584i | −2.19040 | + | 0.321584i | ||||
\(101\) | 5.74129 | − | 7.90221i | 0.571280 | − | 0.786299i | −0.421426 | − | 0.906863i | \(-0.638470\pi\) |
0.992706 | + | 0.120564i | \(0.0384703\pi\) | |||||||
\(102\) | −7.76297 | − | 15.2357i | −0.768649 | − | 1.50856i | ||||
\(103\) | 2.12098 | − | 4.16266i | 0.208987 | − | 0.410159i | −0.762591 | − | 0.646881i | \(-0.776073\pi\) |
0.971577 | + | 0.236722i | \(0.0760730\pi\) | |||||||
\(104\) | 8.16123 | + | 11.2330i | 0.800274 | + | 1.10148i | ||||
\(105\) | 0.681618 | − | 8.07677i | 0.0665191 | − | 0.788212i | ||||
\(106\) | 15.3570 | − | 4.98980i | 1.49161 | − | 0.484653i | ||||
\(107\) | −13.6339 | + | 6.94684i | −1.31804 | + | 0.671577i | −0.964560 | − | 0.263864i | \(-0.915003\pi\) |
−0.353484 | + | 0.935441i | \(0.615003\pi\) | |||||||
\(108\) | 2.75020 | + | 17.3641i | 0.264639 | + | 1.67086i | ||||
\(109\) | −17.8837 | −1.71295 | −0.856476 | − | 0.516187i | \(-0.827351\pi\) | ||||
−0.856476 | + | 0.516187i | \(0.827351\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.43355 | 0.610646 | ||||||||
\(112\) | −1.90903 | − | 12.0531i | −0.180386 | − | 1.13891i | ||||
\(113\) | −6.65542 | + | 3.39111i | −0.626089 | + | 0.319009i | −0.738093 | − | 0.674699i | \(-0.764273\pi\) |
0.112003 | + | 0.993708i | \(0.464273\pi\) | |||||||
\(114\) | 6.31285 | − | 2.05117i | 0.591252 | − | 0.192110i | ||||
\(115\) | 6.45669 | + | 7.64693i | 0.602090 | + | 0.713080i | ||||
\(116\) | 7.64250 | + | 10.5190i | 0.709588 | + | 0.976664i | ||||
\(117\) | −1.04416 | + | 2.04928i | −0.0965327 | + | 0.189456i | ||||
\(118\) | 14.2584 | + | 27.9837i | 1.31259 | + | 2.57610i | ||||
\(119\) | 3.57506 | − | 4.92065i | 0.327725 | − | 0.451075i | ||||
\(120\) | −20.8809 | − | 18.0391i | −1.90615 | − | 1.64674i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 16.6904 | − | 16.6904i | 1.51107 | − | 1.51107i | ||||
\(123\) | 2.58157 | − | 0.408880i | 0.232772 | − | 0.0368674i | ||||
\(124\) | −16.8875 | − | 5.48709i | −1.51655 | − | 0.492756i | ||||
\(125\) | −10.8256 | − | 2.79398i | −0.968271 | − | 0.249901i | ||||
\(126\) | 3.78105 | − | 2.74709i | 0.336842 | − | 0.244730i | ||||
\(127\) | −0.203651 | − | 0.0322551i | −0.0180711 | − | 0.00286217i | 0.147392 | − | 0.989078i | \(-0.452912\pi\) |
−0.165463 | + | 0.986216i | \(0.552912\pi\) | |||||||
\(128\) | 11.5496 | + | 5.88481i | 1.02085 | + | 0.520148i | ||||
\(129\) | 3.99034 | − | 12.2810i | 0.351330 | − | 1.08128i | ||||
\(130\) | 2.91504 | + | 12.4517i | 0.255666 | + | 1.09209i | ||||
\(131\) | 0.551708i | 0.0482029i | 0.999710 | + | 0.0241015i | \(0.00767248\pi\) | ||||
−0.999710 | + | 0.0241015i | \(0.992328\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.66950 | + | 1.66950i | 0.144764 | + | 0.144764i | ||||
\(134\) | −7.14256 | − | 5.18937i | −0.617023 | − | 0.448293i | ||||
\(135\) | −2.12138 | + | 8.62120i | −0.182579 | + | 0.741995i | ||||
\(136\) | −6.39853 | − | 19.6927i | −0.548670 | − | 1.68863i | ||||
\(137\) | 2.42105 | − | 15.2859i | 0.206844 | − | 1.30596i | −0.637621 | − | 0.770350i | \(-0.720081\pi\) |
0.844465 | − | 0.535611i | \(-0.179919\pi\) | |||||||
\(138\) | −3.55897 | + | 22.4705i | −0.302960 | + | 1.91281i | ||||
\(139\) | 0.439646 | + | 1.35309i | 0.0372903 | + | 0.114768i | 0.967969 | − | 0.251070i | \(-0.0807825\pi\) |
−0.930679 | + | 0.365838i | \(0.880782\pi\) | |||||||
\(140\) | 4.27720 | − | 17.3823i | 0.361489 | − | 1.46908i | ||||
\(141\) | 12.5276 | + | 9.10186i | 1.05502 | + | 0.766515i | ||||
\(142\) | 12.1390 | + | 12.1390i | 1.01868 | + | 1.01868i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 6.88173i | − | 0.573477i | ||||||
\(145\) | 1.49674 | + | 6.39338i | 0.124298 | + | 0.530941i | ||||
\(146\) | 7.39884 | − | 22.7713i | 0.612333 | − | 1.88457i | ||||
\(147\) | −6.66505 | − | 3.39601i | −0.549724 | − | 0.280098i | ||||
\(148\) | 14.0335 | + | 2.22268i | 1.15354 | + | 0.182703i | ||||
\(149\) | −19.2587 | + | 13.9922i | −1.57773 | + | 1.14629i | −0.658491 | + | 0.752588i | \(0.728805\pi\) |
−0.919239 | + | 0.393700i | \(0.871195\pi\) | |||||||
\(150\) | −11.2814 | − | 22.7739i | −0.921124 | − | 1.85948i | ||||
\(151\) | 13.6820 | + | 4.44554i | 1.11342 | + | 0.361773i | 0.807254 | − | 0.590204i | \(-0.200953\pi\) |
0.306169 | + | 0.951977i | \(0.400953\pi\) | |||||||
\(152\) | 7.93881 | − | 1.25738i | 0.643923 | − | 0.101987i | ||||
\(153\) | 2.42531 | − | 2.42531i | 0.196075 | − | 0.196075i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.78574 | − | 5.86223i | −0.545044 | − | 0.470866i | ||||
\(156\) | −11.7705 | + | 16.2007i | −0.942391 | + | 1.29709i | ||||
\(157\) | 6.12609 | + | 12.0231i | 0.488915 | + | 0.959550i | 0.995263 | + | 0.0972208i | \(0.0309953\pi\) |
−0.506348 | + | 0.862330i | \(0.669005\pi\) | |||||||
\(158\) | −1.31803 | + | 2.58678i | −0.104857 | + | 0.205793i | ||||
\(159\) | 7.50551 | + | 10.3304i | 0.595225 | + | 0.819257i | ||||
\(160\) | −6.92723 | − | 8.20420i | −0.547645 | − | 0.648599i | ||||
\(161\) | −7.69629 | + | 2.50068i | −0.606553 | + | 0.197081i | ||||
\(162\) | −24.8921 | + | 12.6831i | −1.95570 | + | 0.996481i | ||||
\(163\) | −0.167887 | − | 1.06000i | −0.0131500 | − | 0.0830255i | 0.980241 | − | 0.197809i | \(-0.0633826\pi\) |
−0.993391 | + | 0.114783i | \(0.963383\pi\) | |||||||
\(164\) | 5.77242 | 0.450750 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 26.5315 | 2.05924 | ||||||||
\(167\) | 0.295948 | + | 1.86854i | 0.0229011 | + | 0.144592i | 0.996489 | − | 0.0837188i | \(-0.0266798\pi\) |
−0.973588 | + | 0.228311i | \(0.926680\pi\) | |||||||
\(168\) | 19.8798 | − | 10.1293i | 1.53376 | − | 0.781489i | ||||
\(169\) | −7.52417 | + | 2.44475i | −0.578782 | + | 0.188058i | ||||
\(170\) | 1.60375 | − | 19.0036i | 0.123002 | − | 1.45751i | ||||
\(171\) | 0.782597 | + | 1.07715i | 0.0598467 | + | 0.0823719i | ||||
\(172\) | 12.9470 | − | 25.4099i | 0.987199 | − | 1.93749i | ||||
\(173\) | −8.60190 | − | 16.8822i | −0.653990 | − | 1.28353i | −0.945082 | − | 0.326833i | \(-0.894019\pi\) |
0.291092 | − | 0.956695i | \(-0.405981\pi\) | |||||||
\(174\) | −8.77346 | + | 12.0756i | −0.665114 | + | 0.915451i | ||||
\(175\) | 5.39599 | − | 7.25306i | 0.407898 | − | 0.548280i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −17.5618 | + | 17.5618i | −1.32002 | + | 1.32002i | ||||
\(178\) | 9.65935 | − | 1.52989i | 0.723999 | − | 0.114670i | ||||
\(179\) | −15.5810 | − | 5.06258i | −1.16458 | − | 0.378395i | −0.337963 | − | 0.941159i | \(-0.609738\pi\) |
−0.826618 | + | 0.562764i | \(0.809738\pi\) | |||||||
\(180\) | 3.91571 | − | 9.30423i | 0.291860 | − | 0.693497i | ||||
\(181\) | −12.0248 | + | 8.73652i | −0.893796 | + | 0.649380i | −0.936865 | − | 0.349692i | \(-0.886286\pi\) |
0.0430693 | + | 0.999072i | \(0.486286\pi\) | |||||||
\(182\) | −10.2130 | − | 1.61758i | −0.757038 | − | 0.119903i | ||||
\(183\) | 16.6311 | + | 8.47398i | 1.22941 | + | 0.626415i | ||||
\(184\) | −8.51316 | + | 26.2008i | −0.627599 | + | 1.93155i | ||||
\(185\) | 6.09673 | + | 3.78366i | 0.448241 | + | 0.278180i | ||||
\(186\) | − | 20.3843i | − | 1.49465i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 24.1819 | + | 24.1819i | 1.76365 | + | 1.76365i | ||||
\(189\) | −5.80777 | − | 4.21959i | −0.422453 | − | 0.306930i | ||||
\(190\) | 7.18867 | + | 1.76889i | 0.521521 | + | 0.128328i | ||||
\(191\) | −0.590092 | − | 1.81612i | −0.0426976 | − | 0.131410i | 0.927435 | − | 0.373983i | \(-0.122008\pi\) |
−0.970133 | + | 0.242574i | \(0.922008\pi\) | |||||||
\(192\) | −0.415459 | + | 2.62311i | −0.0299832 | + | 0.189306i | ||||
\(193\) | −1.78068 | + | 11.2428i | −0.128176 | + | 0.809273i | 0.836910 | + | 0.547341i | \(0.184360\pi\) |
−0.965086 | + | 0.261933i | \(0.915640\pi\) | |||||||
\(194\) | 0.609566 | + | 1.87605i | 0.0437643 | + | 0.134693i | ||||
\(195\) | −8.65239 | + | 5.23514i | −0.619610 | + | 0.374896i | ||||
\(196\) | −13.3652 | − | 9.71036i | −0.954654 | − | 0.693597i | ||||
\(197\) | −13.8092 | − | 13.8092i | −0.983863 | − | 0.983863i | 0.0160086 | − | 0.999872i | \(-0.494904\pi\) |
−0.999872 | + | 0.0160086i | \(0.994904\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 22.3508i | − | 1.58441i | −0.610258 | − | 0.792203i | \(-0.708934\pi\) | ||
0.610258 | − | 0.792203i | \(-0.291066\pi\) | |||||||
\(200\) | −9.17867 | − | 29.3750i | −0.649030 | − | 2.07713i | ||||
\(201\) | 2.15744 | − | 6.63992i | 0.152174 | − | 0.468344i | ||||
\(202\) | 22.0649 | + | 11.2426i | 1.55248 | + | 0.791028i | ||||
\(203\) | −5.24391 | − | 0.830554i | −0.368051 | − | 0.0582935i | ||||
\(204\) | 24.1598 | − | 17.5531i | 1.69153 | − | 1.22897i | ||||
\(205\) | 2.68688 | + | 1.13078i | 0.187660 | + | 0.0789770i | ||||
\(206\) | 11.2649 | + | 3.66018i | 0.784862 | + | 0.255017i | ||||
\(207\) | −4.50726 | + | 0.713879i | −0.313276 | + | 0.0496181i | ||||
\(208\) | −10.7662 | + | 10.7662i | −0.746501 | + | 0.746501i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 20.4953 | − | 1.49649i | 1.41431 | − | 0.103267i | ||||
\(211\) | −0.221326 | + | 0.304629i | −0.0152367 | + | 0.0209715i | −0.816567 | − | 0.577250i | \(-0.804126\pi\) |
0.801331 | + | 0.598222i | \(0.204126\pi\) | |||||||
\(212\) | 12.8027 | + | 25.1268i | 0.879295 | + | 1.72571i | ||||
\(213\) | −6.16319 | + | 12.0959i | −0.422295 | + | 0.828801i | ||||
\(214\) | −22.8029 | − | 31.3855i | −1.55877 | − | 2.14547i | ||||
\(215\) | 11.0041 | − | 9.29129i | 0.750471 | − | 0.633661i | ||||
\(216\) | −23.2429 | + | 7.55209i | −1.58148 | + | 0.513855i | ||||
\(217\) | 6.46041 | − | 3.29174i | 0.438561 | − | 0.223458i | ||||
\(218\) | −7.09285 | − | 44.7825i | −0.480388 | − | 3.03305i | ||||
\(219\) | 18.9340 | 1.27944 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −7.58859 | −0.510464 | ||||||||
\(222\) | 2.55160 | + | 16.1102i | 0.171252 | + | 1.08125i | ||||
\(223\) | −6.78001 | + | 3.45459i | −0.454023 | + | 0.231336i | −0.666020 | − | 0.745934i | \(-0.732003\pi\) |
0.211997 | + | 0.977270i | \(0.432003\pi\) | |||||||
\(224\) | 8.25716 | − | 2.68292i | 0.551705 | − | 0.179260i | ||||
\(225\) | 3.64528 | − | 3.56377i | 0.243019 | − | 0.237585i | ||||
\(226\) | −11.1312 | − | 15.3208i | −0.740439 | − | 1.01913i | ||||
\(227\) | 3.72393 | − | 7.30862i | 0.247166 | − | 0.485090i | −0.733776 | − | 0.679391i | \(-0.762244\pi\) |
0.980942 | + | 0.194301i | \(0.0622439\pi\) | |||||||
\(228\) | 5.26284 | + | 10.3289i | 0.348540 | + | 0.684049i | ||||
\(229\) | −4.46080 | + | 6.13976i | −0.294778 | + | 0.405727i | −0.930559 | − | 0.366143i | \(-0.880678\pi\) |
0.635781 | + | 0.771869i | \(0.280678\pi\) | |||||||
\(230\) | −16.5878 | + | 19.2010i | −1.09377 | + | 1.26608i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −12.7807 | + | 12.7807i | −0.839092 | + | 0.839092i | ||||
\(233\) | −25.8944 | + | 4.10127i | −1.69640 | + | 0.268683i | −0.928350 | − | 0.371708i | \(-0.878772\pi\) |
−0.768049 | + | 0.640391i | \(0.778772\pi\) | |||||||
\(234\) | −5.54571 | − | 1.80191i | −0.362534 | − | 0.117795i | ||||
\(235\) | 6.51885 | + | 15.9930i | 0.425243 | + | 1.04327i | ||||
\(236\) | −44.3747 | + | 32.2401i | −2.88855 | + | 2.09865i | ||||
\(237\) | −2.26756 | − | 0.359146i | −0.147294 | − | 0.0233291i | ||||
\(238\) | 13.7396 | + | 7.00070i | 0.890609 | + | 0.453788i | ||||
\(239\) | −0.703327 | + | 2.16462i | −0.0454944 | + | 0.140017i | −0.971224 | − | 0.238170i | \(-0.923452\pi\) |
0.925729 | + | 0.378187i | \(0.123452\pi\) | |||||||
\(240\) | 15.9558 | − | 25.7101i | 1.02994 | − | 1.65958i | ||||
\(241\) | − | 6.29531i | − | 0.405517i | −0.979229 | − | 0.202758i | \(-0.935009\pi\) | ||
0.979229 | − | 0.202758i | \(-0.0649906\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −7.19883 | − | 7.19883i | −0.461805 | − | 0.461805i | ||||
\(244\) | 33.3498 | + | 24.2300i | 2.13500 | + | 1.55117i | ||||
\(245\) | −4.31887 | − | 7.13802i | −0.275923 | − | 0.456031i | ||||
\(246\) | 2.04774 | + | 6.30231i | 0.130559 | + | 0.401820i | ||||
\(247\) | 0.460820 | − | 2.90950i | 0.0293213 | − | 0.185127i | ||||
\(248\) | 3.86140 | − | 24.3799i | 0.245199 | − | 1.54813i | ||||
\(249\) | 6.48342 | + | 19.9539i | 0.410870 | + | 1.26453i | ||||
\(250\) | 2.70286 | − | 28.2164i | 0.170944 | − | 1.78456i | ||||
\(251\) | 21.5157 | + | 15.6321i | 1.35806 | + | 0.986687i | 0.998566 | + | 0.0535389i | \(0.0170501\pi\) |
0.359492 | + | 0.933148i | \(0.382950\pi\) | |||||||
\(252\) | 5.77157 | + | 5.77157i | 0.363575 | + | 0.363575i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 0.522752i | − | 0.0328004i | ||||||
\(255\) | 14.6842 | − | 3.43769i | 0.919560 | − | 0.215276i | ||||
\(256\) | −9.33673 | + | 28.7355i | −0.583546 | + | 1.79597i | ||||
\(257\) | −17.6189 | − | 8.97730i | −1.09904 | − | 0.559988i | −0.192153 | − | 0.981365i | \(-0.561547\pi\) |
−0.906886 | + | 0.421377i | \(0.861547\pi\) | |||||||
\(258\) | 32.3354 | + | 5.12142i | 2.01311 | + | 0.318846i | ||||
\(259\) | −4.69377 | + | 3.41022i | −0.291657 | + | 0.211901i | ||||
\(260\) | −20.6821 | + | 8.43013i | −1.28265 | + | 0.522815i | ||||
\(261\) | −2.84747 | − | 0.925199i | −0.176254 | − | 0.0572684i | ||||
\(262\) | −1.38153 | + | 0.218812i | −0.0853510 | + | 0.0135183i | ||||
\(263\) | 5.91748 | − | 5.91748i | 0.364888 | − | 0.364888i | −0.500721 | − | 0.865609i | \(-0.666932\pi\) |
0.865609 | + | 0.500721i | \(0.166932\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.03710 | + | 14.2037i | 0.0637085 | + | 0.872526i | ||||
\(266\) | −3.51845 | + | 4.84273i | −0.215730 | + | 0.296927i | ||||
\(267\) | 3.51104 | + | 6.89079i | 0.214872 | + | 0.421710i | ||||
\(268\) | 6.99999 | − | 13.7383i | 0.427592 | − | 0.839198i | ||||
\(269\) | 5.70779 | + | 7.85609i | 0.348010 | + | 0.478994i | 0.946759 | − | 0.321942i | \(-0.104336\pi\) |
−0.598750 | + | 0.800936i | \(0.704336\pi\) | |||||||
\(270\) | −22.4296 | − | 1.89289i | −1.36502 | − | 0.115197i | ||||
\(271\) | −2.90211 | + | 0.942954i | −0.176291 | + | 0.0572804i | −0.395832 | − | 0.918323i | \(-0.629544\pi\) |
0.219542 | + | 0.975603i | \(0.429544\pi\) | |||||||
\(272\) | 20.2311 | − | 10.3082i | 1.22669 | − | 0.625029i | ||||
\(273\) | −1.27916 | − | 8.07633i | −0.0774186 | − | 0.488802i | ||||
\(274\) | 39.2374 | 2.37042 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −39.7326 | −2.39162 | ||||||||
\(277\) | 0.372337 | + | 2.35085i | 0.0223716 | + | 0.141249i | 0.996346 | − | 0.0854097i | \(-0.0272199\pi\) |
−0.973974 | + | 0.226658i | \(0.927220\pi\) | |||||||
\(278\) | −3.21389 | + | 1.63756i | −0.192757 | + | 0.0982144i | ||||
\(279\) | 3.88868 | − | 1.26351i | 0.232809 | − | 0.0756443i | ||||
\(280\) | 24.7962 | + | 2.09261i | 1.48185 | + | 0.125057i | ||||
\(281\) | 16.5944 | + | 22.8402i | 0.989939 | + | 1.36253i | 0.931299 | + | 0.364255i | \(0.118676\pi\) |
0.0586395 | + | 0.998279i | \(0.481324\pi\) | |||||||
\(282\) | −17.8233 | + | 34.9802i | −1.06136 | + | 2.08304i | ||||
\(283\) | −7.72394 | − | 15.1591i | −0.459141 | − | 0.901114i | −0.998265 | − | 0.0588878i | \(-0.981245\pi\) |
0.539124 | − | 0.842226i | \(-0.318755\pi\) | |||||||
\(284\) | −17.6227 | + | 24.2555i | −1.04571 | + | 1.43930i | ||||
\(285\) | 0.426322 | + | 5.83874i | 0.0252532 | + | 0.345857i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.66672 | + | 1.66672i | −0.0983831 | + | 0.0983831i | ||||
\(288\) | 4.83573 | − | 0.765904i | 0.284948 | − | 0.0451313i | ||||
\(289\) | −5.40508 | − | 1.75622i | −0.317946 | − | 0.103307i | ||||
\(290\) | −15.4160 | + | 6.28365i | −0.905257 | + | 0.368988i | ||||
\(291\) | −1.26199 | + | 0.916890i | −0.0739792 | + | 0.0537491i | ||||
\(292\) | 41.3006 | + | 6.54137i | 2.41693 | + | 0.382805i | ||||
\(293\) | −9.52030 | − | 4.85084i | −0.556182 | − | 0.283389i | 0.153221 | − | 0.988192i | \(-0.451035\pi\) |
−0.709403 | + | 0.704803i | \(0.751035\pi\) | |||||||
\(294\) | 5.86050 | − | 18.0368i | 0.341791 | − | 1.05193i | ||||
\(295\) | −26.9707 | + | 6.31405i | −1.57029 | + | 0.367618i | ||||
\(296\) | 19.7514i | 1.14803i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −42.6760 | − | 42.6760i | −2.47215 | − | 2.47215i | ||||
\(299\) | 8.16826 | + | 5.93459i | 0.472383 | + | 0.343206i | ||||
\(300\) | 36.2016 | − | 25.6817i | 2.09010 | − | 1.48274i | ||||
\(301\) | 3.59852 | + | 11.0751i | 0.207415 | + | 0.638358i | ||||
\(302\) | −5.70565 | + | 36.0240i | −0.328323 | + | 2.07295i | ||||
\(303\) | −3.06347 | + | 19.3420i | −0.175992 | + | 1.11117i | ||||
\(304\) | 2.72369 | + | 8.38266i | 0.156214 | + | 0.480778i | ||||
\(305\) | 10.7768 | + | 17.8113i | 0.617076 | + | 1.01987i | ||||
\(306\) | 7.03509 | + | 5.11129i | 0.402169 | + | 0.292193i | ||||
\(307\) | 22.9923 | + | 22.9923i | 1.31224 | + | 1.31224i | 0.919763 | + | 0.392474i | \(0.128381\pi\) |
0.392474 | + | 0.919763i | \(0.371619\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 9.36657i | 0.532846i | ||||||||
\(310\) | 11.9883 | − | 19.3171i | 0.680888 | − | 1.09714i | ||||
\(311\) | 4.29183 | − | 13.2089i | 0.243367 | − | 0.749007i | −0.752534 | − | 0.658554i | \(-0.771168\pi\) |
0.995901 | − | 0.0904531i | \(-0.0288315\pi\) | |||||||
\(312\) | −24.8032 | − | 12.6379i | −1.40421 | − | 0.715479i | ||||
\(313\) | 17.1739 | + | 2.72008i | 0.970728 | + | 0.153748i | 0.621607 | − | 0.783329i | \(-0.286480\pi\) |
0.349121 | + | 0.937078i | \(0.386480\pi\) | |||||||
\(314\) | −27.6773 | + | 20.1088i | −1.56192 | + | 1.13480i | ||||
\(315\) | 1.55587 | + | 3.81710i | 0.0876635 | + | 0.215069i | ||||
\(316\) | −4.82214 | − | 1.56681i | −0.271267 | − | 0.0881399i | ||||
\(317\) | −15.9581 | + | 2.52751i | −0.896296 | + | 0.141959i | −0.587552 | − | 0.809186i | \(-0.699908\pi\) |
−0.308743 | + | 0.951145i | \(0.599908\pi\) | |||||||
\(318\) | −22.8916 | + | 22.8916i | −1.28370 | + | 1.28370i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −1.93639 | + | 2.24144i | −0.108248 | + | 0.125300i | ||||
\(321\) | 18.0322 | − | 24.8193i | 1.00646 | − | 1.38528i | ||||
\(322\) | −9.31434 | − | 18.2804i | −0.519068 | − | 1.01873i | ||||
\(323\) | −1.99437 | + | 3.91418i | −0.110970 | + | 0.217791i | ||||
\(324\) | −28.6783 | − | 39.4723i | −1.59324 | − | 2.19290i | ||||
\(325\) | −11.2783 | − | 0.127518i | −0.625606 | − | 0.00707341i | ||||
\(326\) | 2.58775 | − | 0.840810i | 0.143322 | − | 0.0465682i | ||||
\(327\) | 31.9470 | − | 16.2778i | 1.76667 | − | 0.900164i | ||||
\(328\) | 1.25528 | + | 7.92556i | 0.0693115 | + | 0.437616i | ||||
\(329\) | −13.9645 | −0.769887 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.6837 | 0.807090 | 0.403545 | − | 0.914960i | \(-0.367778\pi\) | ||||
0.403545 | + | 0.914960i | \(0.367778\pi\) | |||||||
\(332\) | 7.24851 | + | 45.7653i | 0.397813 | + | 2.51170i | ||||
\(333\) | −2.91516 | + | 1.48535i | −0.159750 | + | 0.0813965i | ||||
\(334\) | −4.56162 | + | 1.48216i | −0.249601 | + | 0.0811002i | ||||
\(335\) | 5.94951 | − | 5.02348i | 0.325057 | − | 0.274462i | ||||
\(336\) | 14.3810 | + | 19.7938i | 0.784548 | + | 1.07984i | ||||
\(337\) | 6.12483 | − | 12.0207i | 0.333641 | − | 0.654807i | −0.661853 | − | 0.749634i | \(-0.730230\pi\) |
0.995494 | + | 0.0948269i | \(0.0302297\pi\) | |||||||
\(338\) | −9.10603 | − | 17.8716i | −0.495303 | − | 0.972086i | ||||
\(339\) | 8.80245 | − | 12.1155i | 0.478084 | − | 0.658026i | ||||
\(340\) | 33.2182 | − | 2.42547i | 1.80151 | − | 0.131539i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −2.38690 | + | 2.38690i | −0.129069 | + | 0.129069i | ||||
\(343\) | 19.1631 | − | 3.03514i | 1.03471 | − | 0.163882i | ||||
\(344\) | 37.7034 | + | 12.2506i | 2.03283 | + | 0.660507i | ||||
\(345\) | −18.4943 | − | 7.78335i | −0.995698 | − | 0.419042i | ||||
\(346\) | 38.8629 | − | 28.2355i | 2.08928 | − | 1.51795i | ||||
\(347\) | 12.0852 | + | 1.91410i | 0.648766 | + | 0.102755i | 0.472140 | − | 0.881523i | \(-0.343482\pi\) |
0.176626 | + | 0.984278i | \(0.443482\pi\) | |||||||
\(348\) | −23.2267 | − | 11.8346i | −1.24508 | − | 0.634401i | ||||
\(349\) | −6.29508 | + | 19.3743i | −0.336968 | + | 1.03708i | 0.628777 | + | 0.777586i | \(0.283556\pi\) |
−0.965745 | + | 0.259494i | \(0.916444\pi\) | |||||||
\(350\) | 20.3024 | + | 10.6354i | 1.08521 | + | 0.568487i | ||||
\(351\) | 8.95670i | 0.478073i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 13.7886 | + | 13.7886i | 0.733893 | + | 0.733893i | 0.971389 | − | 0.237495i | \(-0.0763264\pi\) |
−0.237495 | + | 0.971389i | \(0.576326\pi\) | |||||||
\(354\) | −50.9415 | − | 37.0111i | −2.70751 | − | 1.96712i | ||||
\(355\) | −12.9543 | + | 7.83803i | −0.687544 | + | 0.415999i | ||||
\(356\) | 5.27795 | + | 16.2439i | 0.279731 | + | 0.860923i | ||||
\(357\) | −1.90760 | + | 12.0441i | −0.100961 | + | 0.637442i | ||||
\(358\) | 6.49759 | − | 41.0242i | 0.343408 | − | 2.16819i | ||||
\(359\) | 5.10491 | + | 15.7113i | 0.269427 | + | 0.829210i | 0.990640 | + | 0.136497i | \(0.0435845\pi\) |
−0.721214 | + | 0.692713i | \(0.756415\pi\) | |||||||
\(360\) | 13.6263 | + | 3.35296i | 0.718168 | + | 0.176717i | ||||
\(361\) | 13.9917 | + | 10.1656i | 0.736406 | + | 0.535030i | ||||
\(362\) | −26.6462 | − | 26.6462i | −1.40049 | − | 1.40049i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | − | 18.0588i | − | 0.946537i | ||||||
\(365\) | 17.9427 | + | 11.1353i | 0.939165 | + | 0.582849i | ||||
\(366\) | −14.6236 | + | 45.0067i | −0.764386 | + | 2.35254i | ||||
\(367\) | 5.73930 | + | 2.92432i | 0.299589 | + | 0.152648i | 0.597323 | − | 0.802001i | \(-0.296231\pi\) |
−0.297734 | + | 0.954649i | \(0.596231\pi\) | |||||||
\(368\) | −29.8379 | − | 4.72586i | −1.55541 | − | 0.246353i | ||||
\(369\) | −1.07535 | + | 0.781290i | −0.0559807 | + | 0.0406723i | ||||
\(370\) | −7.05659 | + | 16.7674i | −0.366855 | + | 0.871696i | ||||
\(371\) | −10.9517 | − | 3.55842i | −0.568583 | − | 0.184744i | ||||
\(372\) | 35.1617 | − | 5.56907i | 1.82305 | − | 0.288743i | ||||
\(373\) | −9.69631 | + | 9.69631i | −0.502056 | + | 0.502056i | −0.912076 | − | 0.410021i | \(-0.865522\pi\) |
0.410021 | + | 0.912076i | \(0.365522\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 21.8816 | − | 4.86238i | 1.12996 | − | 0.251092i | ||||
\(376\) | −27.9433 | + | 38.4606i | −1.44106 | + | 1.98345i | ||||
\(377\) | 3.00731 | + | 5.90219i | 0.154885 | + | 0.303978i | ||||
\(378\) | 8.26282 | − | 16.2167i | 0.424994 | − | 0.834097i | ||||
\(379\) | −12.6380 | − | 17.3947i | −0.649171 | − | 0.893507i | 0.349892 | − | 0.936790i | \(-0.386218\pi\) |
−0.999063 | + | 0.0432830i | \(0.986218\pi\) | |||||||
\(380\) | −1.08725 | + | 12.8833i | −0.0557748 | + | 0.660900i | ||||
\(381\) | 0.393154 | − | 0.127743i | 0.0201419 | − | 0.00654449i | ||||
\(382\) | 4.31368 | − | 2.19793i | 0.220707 | − | 0.112456i | ||||
\(383\) | −0.0474676 | − | 0.299698i | −0.00242548 | − | 0.0153139i | 0.986446 | − | 0.164087i | \(-0.0524677\pi\) |
−0.988871 | + | 0.148773i | \(0.952468\pi\) | |||||||
\(384\) | −25.9882 | −1.32620 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −28.8592 | −1.46889 | ||||||||
\(387\) | 1.02728 | + | 6.48602i | 0.0522198 | + | 0.329703i | ||||
\(388\) | −3.06954 | + | 1.56401i | −0.155833 | + | 0.0794006i | ||||
\(389\) | 3.42506 | − | 1.11287i | 0.173657 | − | 0.0564247i | −0.220898 | − | 0.975297i | \(-0.570899\pi\) |
0.394555 | + | 0.918872i | \(0.370899\pi\) | |||||||
\(390\) | −16.5409 | − | 19.5901i | −0.837580 | − | 0.991981i | ||||
\(391\) | −8.85017 | − | 12.1812i | −0.447572 | − | 0.616030i | ||||
\(392\) | 10.4259 | − | 20.4621i | 0.526590 | − | 1.03349i | ||||
\(393\) | −0.502165 | − | 0.985554i | −0.0253309 | − | 0.0497146i | ||||
\(394\) | 29.1026 | − | 40.0563i | 1.46617 | − | 2.01801i | ||||
\(395\) | −1.93763 | − | 1.67393i | −0.0974927 | − | 0.0842244i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.1781 | − | 22.1781i | 1.11309 | − | 1.11309i | 0.120357 | − | 0.992731i | \(-0.461596\pi\) |
0.992731 | − | 0.120357i | \(-0.0384039\pi\) | |||||||
\(398\) | 55.9684 | − | 8.86452i | 2.80544 | − | 0.444338i | ||||
\(399\) | −4.50193 | − | 1.46277i | −0.225378 | − | 0.0732299i | ||||
\(400\) | 30.2409 | − | 14.9803i | 1.51204 | − | 0.749014i | ||||
\(401\) | 8.08801 | − | 5.87628i | 0.403896 | − | 0.293447i | −0.367230 | − | 0.930130i | \(-0.619694\pi\) |
0.771126 | + | 0.636683i | \(0.219694\pi\) | |||||||
\(402\) | 17.4826 | + | 2.76897i | 0.871953 | + | 0.138104i | ||||
\(403\) | −8.06040 | − | 4.10698i | −0.401517 | − | 0.204583i | ||||
\(404\) | −13.3647 | + | 41.1322i | −0.664916 | + | 2.04640i | ||||
\(405\) | −5.61649 | − | 23.9910i | −0.279085 | − | 1.19212i | ||||
\(406\) | − | 13.4606i | − | 0.668040i | ||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 29.3544 | + | 29.3544i | 1.45326 | + | 1.45326i | ||||
\(409\) | −24.5870 | − | 17.8635i | −1.21575 | − | 0.883293i | −0.220009 | − | 0.975498i | \(-0.570609\pi\) |
−0.995740 | + | 0.0922049i | \(0.970609\pi\) | |||||||
\(410\) | −1.76593 | + | 7.17667i | −0.0872132 | + | 0.354430i | ||||
\(411\) | 9.58834 | + | 29.5099i | 0.472958 | + | 1.45561i | ||||
\(412\) | −3.23599 | + | 20.4313i | −0.159426 | + | 1.00658i | ||||
\(413\) | 3.50372 | − | 22.1216i | 0.172407 | − | 1.08853i | ||||
\(414\) | −3.57524 | − | 11.0034i | −0.175713 | − | 0.540790i | ||||
\(415\) | −5.59117 | + | 22.7222i | −0.274460 | + | 1.11539i | ||||
\(416\) | −8.76352 | − | 6.36707i | −0.429667 | − | 0.312171i | ||||
\(417\) | −2.01695 | − | 2.01695i | −0.0987706 | − | 0.0987706i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 7.48185i | 0.365512i | 0.983158 | + | 0.182756i | \(0.0585019\pi\) | ||||
−0.983158 | + | 0.182756i | \(0.941498\pi\) | |||||||
\(420\) | 8.18075 | + | 34.9444i | 0.399180 | + | 1.70511i | ||||
\(421\) | 6.31106 | − | 19.4234i | 0.307582 | − | 0.946640i | −0.671119 | − | 0.741350i | \(-0.734186\pi\) |
0.978701 | − | 0.205291i | \(-0.0658140\pi\) | |||||||
\(422\) | −0.850599 | − | 0.433402i | −0.0414065 | − | 0.0210977i | ||||
\(423\) | −7.77789 | − | 1.23190i | −0.378174 | − | 0.0598969i | ||||
\(424\) | −31.7151 | + | 23.0423i | −1.54022 | + | 1.11903i | ||||
\(425\) | 15.9372 | + | 5.37825i | 0.773066 | + | 0.260884i | ||||
\(426\) | −32.7337 | − | 10.6358i | −1.58595 | − | 0.515308i | ||||
\(427\) | −16.6255 | + | 2.63322i | −0.804563 | + | 0.127430i | ||||
\(428\) | 47.9083 | − | 47.9083i | 2.31573 | − | 2.31573i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 27.6305 | + | 23.8702i | 1.33246 | + | 1.15112i | ||||
\(431\) | −19.7884 | + | 27.2363i | −0.953172 | + | 1.31193i | −0.00306745 | + | 0.999995i | \(0.500976\pi\) |
−0.950104 | + | 0.311933i | \(0.899024\pi\) | |||||||
\(432\) | −12.1667 | − | 23.8784i | −0.585369 | − | 1.14885i | ||||
\(433\) | 5.26591 | − | 10.3349i | 0.253063 | − | 0.496665i | −0.729169 | − | 0.684334i | \(-0.760093\pi\) |
0.982232 | + | 0.187669i | \(0.0600932\pi\) | |||||||
\(434\) | 10.8051 | + | 14.8719i | 0.518660 | + | 0.713875i | ||||
\(435\) | −8.49299 | − | 10.0586i | −0.407208 | − | 0.482273i | ||||
\(436\) | 75.3094 | − | 24.4695i | 3.60667 | − | 1.17188i | ||||
\(437\) | 5.20776 | − | 2.65349i | 0.249121 | − | 0.126934i | ||||
\(438\) | 7.50938 | + | 47.4124i | 0.358812 | + | 2.26545i | ||||
\(439\) | 10.7242 | 0.511837 | 0.255918 | − | 0.966698i | \(-0.417622\pi\) | ||||
0.255918 | + | 0.966698i | \(0.417622\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.80411 | 0.181148 | ||||||||
\(442\) | −3.00970 | − | 19.0025i | −0.143157 | − | 0.903858i | ||||
\(443\) | 35.9376 | − | 18.3111i | 1.70745 | − | 0.869987i | 0.723769 | − | 0.690042i | \(-0.242408\pi\) |
0.983677 | − | 0.179945i | \(-0.0575921\pi\) | |||||||
\(444\) | −27.0920 | + | 8.80274i | −1.28573 | + | 0.417759i | ||||
\(445\) | −0.725346 | + | 8.59493i | −0.0343847 | + | 0.407439i | ||||
\(446\) | −11.3396 | − | 15.6076i | −0.536946 | − | 0.739043i | ||||
\(447\) | 21.6673 | − | 42.5245i | 1.02483 | − | 2.01134i | ||||
\(448\) | −1.08732 | − | 2.13398i | −0.0513709 | − | 0.100821i | ||||
\(449\) | −2.14048 | + | 2.94612i | −0.101016 | + | 0.139036i | −0.856532 | − | 0.516093i | \(-0.827386\pi\) |
0.755517 | + | 0.655129i | \(0.227386\pi\) | |||||||
\(450\) | 10.3698 | + | 7.71468i | 0.488835 | + | 0.363674i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 23.3865 | − | 23.3865i | 1.10001 | − | 1.10001i | ||||
\(453\) | −28.4874 | + | 4.51196i | −1.33845 | + | 0.211990i | ||||
\(454\) | 19.7784 | + | 6.42639i | 0.928246 | + | 0.301605i | ||||
\(455\) | 3.53760 | − | 8.40580i | 0.165845 | − | 0.394070i | ||||
\(456\) | −13.0372 | + | 9.47206i | −0.610522 | + | 0.443570i | ||||
\(457\) | −17.8699 | − | 2.83032i | −0.835920 | − | 0.132397i | −0.276223 | − | 0.961094i | \(-0.589083\pi\) |
−0.559698 | + | 0.828697i | \(0.689083\pi\) | |||||||
\(458\) | −17.1437 | − | 8.73515i | −0.801072 | − | 0.408167i | ||||
\(459\) | 4.12754 | − | 12.7033i | 0.192657 | − | 0.592938i | ||||
\(460\) | −37.6524 | − | 23.3672i | −1.75555 | − | 1.08950i | ||||
\(461\) | − | 35.5884i | − | 1.65751i | −0.559608 | − | 0.828757i | \(-0.689048\pi\) | ||
0.559608 | − | 0.828757i | \(-0.310952\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.46802 | − | 4.46802i | −0.207647 | − | 0.207647i | 0.595620 | − | 0.803266i | \(-0.296907\pi\) |
−0.803266 | + | 0.595620i | \(0.796907\pi\) | |||||||
\(464\) | −16.0349 | − | 11.6500i | −0.744402 | − | 0.540839i | ||||
\(465\) | 17.4576 | + | 4.29573i | 0.809579 | + | 0.199210i | ||||
\(466\) | −20.5399 | − | 63.2153i | −0.951492 | − | 2.92839i | ||||
\(467\) | 1.35359 | − | 8.54624i | 0.0626367 | − | 0.395473i | −0.936374 | − | 0.351004i | \(-0.885840\pi\) |
0.999011 | − | 0.0444689i | \(-0.0141596\pi\) | |||||||
\(468\) | 1.59308 | − | 10.0583i | 0.0736402 | − | 0.464946i | ||||
\(469\) | 1.94559 | + | 5.98792i | 0.0898391 | + | 0.276496i | ||||
\(470\) | −37.4625 | + | 22.6668i | −1.72802 | + | 1.04554i | ||||
\(471\) | −21.8869 | − | 15.9018i | −1.00850 | − | 0.732715i | ||||
\(472\) | −53.9157 | − | 53.9157i | −2.48167 | − | 2.48167i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | − | 5.82062i | − | 0.267350i | ||||||
\(475\) | −3.02984 | + | 5.78379i | −0.139018 | + | 0.265379i | ||||
\(476\) | −8.32208 | + | 25.6127i | −0.381442 | + | 1.17396i | ||||
\(477\) | −5.78592 | − | 2.94807i | −0.264919 | − | 0.134983i | ||||
\(478\) | −5.69934 | − | 0.902687i | −0.260682 | − | 0.0412880i | ||||
\(479\) | 12.4456 | − | 9.04222i | 0.568652 | − | 0.413150i | −0.265963 | − | 0.963983i | \(-0.585690\pi\) |
0.834615 | + | 0.550833i | \(0.185690\pi\) | |||||||
\(480\) | 19.8420 | + | 8.35057i | 0.905661 | + | 0.381150i | ||||
\(481\) | 6.88441 | + | 2.23688i | 0.313902 | + | 0.101993i | ||||
\(482\) | 15.7640 | − | 2.49678i | 0.718032 | − | 0.113725i | ||||
\(483\) | 11.4723 | − | 11.4723i | 0.522008 | − | 0.522008i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.73516 | + | 0.126694i | −0.0787894 | + | 0.00575290i | ||||
\(486\) | 15.1714 | − | 20.8816i | 0.688189 | − | 0.947211i | ||||
\(487\) | −2.69960 | − | 5.29826i | −0.122330 | − | 0.240087i | 0.821718 | − | 0.569895i | \(-0.193016\pi\) |
−0.944048 | + | 0.329808i | \(0.893016\pi\) | |||||||
\(488\) | −26.0156 | + | 51.0585i | −1.17767 | + | 2.31131i | ||||
\(489\) | 1.26472 | + | 1.74074i | 0.0571926 | + | 0.0787189i | ||||
\(490\) | 16.1613 | − | 13.6458i | 0.730095 | − | 0.616456i | ||||
\(491\) | −38.9464 | + | 12.6545i | −1.75763 | + | 0.571088i | −0.996950 | − | 0.0780428i | \(-0.975133\pi\) |
−0.760677 | + | 0.649130i | \(0.775133\pi\) | |||||||
\(492\) | −10.3117 | + | 5.25406i | −0.464886 | + | 0.236871i | ||||
\(493\) | −1.54535 | − | 9.75693i | −0.0695988 | − | 0.439430i | ||||
\(494\) | 7.46842 | 0.336020 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 27.0678 | 1.21538 | ||||||||
\(497\) | −1.91516 | − | 12.0918i | −0.0859066 | − | 0.542393i | ||||
\(498\) | −47.3950 | + | 24.1490i | −2.12382 | + | 1.08214i | ||||
\(499\) | 22.0520 | − | 7.16511i | 0.987181 | − | 0.320755i | 0.229449 | − | 0.973321i | \(-0.426308\pi\) |
0.757732 | + | 0.652566i | \(0.226308\pi\) | |||||||
\(500\) | 49.4101 | − | 3.04657i | 2.20969 | − | 0.136247i | ||||
\(501\) | −2.22942 | − | 3.06853i | −0.0996031 | − | 0.137092i | ||||
\(502\) | −30.6108 | + | 60.0770i | −1.36623 | + | 2.68137i | ||||
\(503\) | 1.51788 | + | 2.97901i | 0.0676789 | + | 0.132827i | 0.922367 | − | 0.386314i | \(-0.126252\pi\) |
−0.854688 | + | 0.519141i | \(0.826252\pi\) | |||||||
\(504\) | −6.66929 | + | 9.17950i | −0.297074 | + | 0.408887i | ||||
\(505\) | −14.2784 | + | 16.5277i | −0.635379 | + | 0.735473i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 11.2157 | − | 11.2157i | 0.498108 | − | 0.498108i | ||||
\(508\) | 0.901717 | − | 0.142818i | 0.0400072 | − | 0.00633652i | ||||
\(509\) | −21.0623 | − | 6.84355i | −0.933569 | − | 0.303335i | −0.197547 | − | 0.980293i | \(-0.563298\pi\) |
−0.736021 | + | 0.676959i | \(0.763298\pi\) | |||||||
\(510\) | 14.4322 | + | 35.4071i | 0.639067 | + | 1.56785i | ||||
\(511\) | −13.8138 | + | 10.0363i | −0.611086 | + | 0.443980i | ||||
\(512\) | −50.0537 | − | 7.92773i | −2.21208 | − | 0.350359i | ||||
\(513\) | 4.61984 | + | 2.35393i | 0.203971 | + | 0.103928i | ||||
\(514\) | 15.4921 | − | 47.6799i | 0.683329 | − | 2.10307i | ||||
\(515\) | −5.50860 | + | 8.87620i | −0.242738 | + | 0.391132i | ||||
\(516\) | 57.1759i | 2.51703i | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −10.4011 | − | 10.4011i | −0.456998 | − | 0.456998i | ||||
\(519\) | 30.7323 | + | 22.3283i | 1.34900 | + | 0.980105i | ||||
\(520\) | −16.0722 | − | 26.5633i | −0.704812 | − | 1.16488i | ||||
\(521\) | −3.28368 | − | 10.1061i | −0.143861 | − | 0.442758i | 0.853002 | − | 0.521908i | \(-0.174779\pi\) |
−0.996863 | + | 0.0791498i | \(0.974779\pi\) | |||||||
\(522\) | 1.18745 | − | 7.49726i | 0.0519733 | − | 0.328146i | ||||
\(523\) | −6.76212 | + | 42.6943i | −0.295687 | + | 1.86689i | 0.174967 | + | 0.984574i | \(0.444018\pi\) |
−0.470654 | + | 0.882318i | \(0.655982\pi\) | |||||||
\(524\) | −0.754877 | − | 2.32327i | −0.0329770 | − | 0.101493i | ||||
\(525\) | −3.03749 | + | 17.8681i | −0.132567 | + | 0.779827i | ||||
\(526\) | 17.1648 | + | 12.4710i | 0.748422 | + | 0.543761i | ||||
\(527\) | 9.53941 | + | 9.53941i | 0.415543 | + | 0.415543i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 2.96712i | − | 0.129005i | ||||||
\(530\) | −35.1560 | + | 8.23030i | −1.52708 | + | 0.357502i | ||||
\(531\) | 3.90298 | − | 12.0121i | 0.169375 | − | 0.521283i | ||||
\(532\) | −9.31468 | − | 4.74607i | −0.403842 | − | 0.205768i | ||||
\(533\) | 2.90464 | + | 0.460050i | 0.125814 | + | 0.0199270i | ||||
\(534\) | −15.8627 | + | 11.5249i | −0.686445 | + | 0.498731i | ||||
\(535\) | 31.6847 | − | 12.9149i | 1.36985 | − | 0.558359i | ||||
\(536\) | 20.3849 | + | 6.62347i | 0.880495 | + | 0.286090i | ||||
\(537\) | 32.4414 | − | 5.13822i | 1.39995 | − | 0.221731i | ||||
\(538\) | −17.4086 | + | 17.4086i | −0.750538 | + | 0.750538i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −2.86274 | − | 39.2069i | −0.123193 | − | 1.68720i | ||||
\(541\) | −12.4089 | + | 17.0793i | −0.533499 | + | 0.734298i | −0.987659 | − | 0.156622i | \(-0.949940\pi\) |
0.454160 | + | 0.890920i | \(0.349940\pi\) | |||||||
\(542\) | −3.51224 | − | 6.89317i | −0.150864 | − | 0.296087i | ||||
\(543\) | 13.5287 | − | 26.5516i | 0.580573 | − | 1.13944i | ||||
\(544\) | 9.49513 | + | 13.0689i | 0.407100 | + | 0.560325i | ||||
\(545\) | 39.8476 | + | 3.36283i | 1.70688 | + | 0.144048i | ||||
\(546\) | 19.7165 | − | 6.40629i | 0.843789 | − | 0.274164i | ||||
\(547\) | 1.24199 | − | 0.632824i | 0.0531036 | − | 0.0270576i | −0.427237 | − | 0.904140i | \(-0.640513\pi\) |
0.480341 | + | 0.877082i | \(0.340513\pi\) | |||||||
\(548\) | 10.7198 | + | 67.6823i | 0.457928 | + | 2.89125i | ||||
\(549\) | −9.49230 | −0.405121 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.83469 | 0.163363 | ||||||||
\(552\) | −8.64035 | − | 54.5530i | −0.367758 | − | 2.32193i | ||||
\(553\) | 1.84473 | − | 0.939938i | 0.0784460 | − | 0.0399702i | ||||
\(554\) | −5.73906 | + | 1.86473i | −0.243829 | + | 0.0792249i | ||||
\(555\) | −14.3349 | − | 1.20976i | −0.608483 | − | 0.0513513i | ||||
\(556\) | −3.70275 | − | 5.09639i | −0.157031 | − | 0.216135i | ||||
\(557\) | 1.73985 | − | 3.41464i | 0.0737197 | − | 0.144683i | −0.851205 | − | 0.524833i | \(-0.824128\pi\) |
0.924925 | + | 0.380150i | \(0.124128\pi\) | |||||||
\(558\) | 4.70623 | + | 9.23649i | 0.199231 | + | 0.391012i | ||||
\(559\) | 8.53997 | − | 11.7543i | 0.361202 | − | 0.497152i | ||||
\(560\) | 1.98715 | + | 27.2152i | 0.0839722 | + | 1.15005i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −50.6125 | + | 50.6125i | −2.13496 | + | 2.13496i | ||||
\(563\) | −2.41207 | + | 0.382035i | −0.101657 | + | 0.0161008i | −0.207056 | − | 0.978329i | \(-0.566388\pi\) |
0.105399 | + | 0.994430i | \(0.466388\pi\) | |||||||
\(564\) | −65.2083 | − | 21.1875i | −2.74576 | − | 0.892153i | ||||
\(565\) | 15.4669 | − | 6.30441i | 0.650698 | − | 0.265229i | ||||
\(566\) | 34.8963 | − | 25.3537i | 1.46680 | − | 1.06569i | ||||
\(567\) | 19.6777 | + | 3.11664i | 0.826384 | + | 0.130886i | ||||
\(568\) | −37.1353 | − | 18.9214i | −1.55816 | − | 0.793923i | ||||
\(569\) | −1.99158 | + | 6.12946i | −0.0834915 | + | 0.256961i | −0.984084 | − | 0.177704i | \(-0.943133\pi\) |
0.900592 | + | 0.434665i | \(0.143133\pi\) | |||||||
\(570\) | −14.4517 | + | 3.38325i | −0.605313 | + | 0.141709i | ||||
\(571\) | − | 13.2864i | − | 0.556019i | −0.960578 | − | 0.278009i | \(-0.910325\pi\) | ||
0.960578 | − | 0.278009i | \(-0.0896747\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 2.70715 | + | 2.70715i | 0.113093 | + | 0.113093i | ||||
\(574\) | −4.83464 | − | 3.51257i | −0.201794 | − | 0.146612i | ||||
\(575\) | −12.9485 | − | 18.2526i | −0.539992 | − | 0.761186i | ||||
\(576\) | −0.417358 | − | 1.28450i | −0.0173899 | − | 0.0535206i | ||||
\(577\) | −2.92981 | + | 18.4981i | −0.121969 | + | 0.770085i | 0.848559 | + | 0.529100i | \(0.177470\pi\) |
−0.970529 | + | 0.240985i | \(0.922530\pi\) | |||||||
\(578\) | 2.25402 | − | 14.2313i | 0.0937550 | − | 0.591946i | ||||
\(579\) | −7.05223 | − | 21.7045i | −0.293081 | − | 0.902010i | ||||
\(580\) | −15.0506 | − | 24.8750i | −0.624944 | − | 1.03288i | ||||
\(581\) | −15.3071 | − | 11.1213i | −0.635045 | − | 0.461387i | ||||
\(582\) | −2.79649 | − | 2.79649i | −0.115918 | − | 0.115918i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 58.1284i | 2.40537i | ||||||||
\(585\) | 2.71189 | − | 4.36976i | 0.112123 | − | 0.180667i | ||||
\(586\) | 8.37110 | − | 25.7636i | 0.345807 | − | 1.06428i | ||||
\(587\) | 7.51037 | + | 3.82673i | 0.309986 | + | 0.157946i | 0.602062 | − | 0.798449i | \(-0.294346\pi\) |
−0.292076 | + | 0.956395i | \(0.594346\pi\) | |||||||
\(588\) | 32.7135 | + | 5.18131i | 1.34908 | + | 0.213673i | ||||
\(589\) | −4.23674 | + | 3.07817i | −0.174572 | + | 0.126834i | ||||
\(590\) | −26.5078 | − | 65.0328i | −1.09131 | − | 2.67736i | ||||
\(591\) | 37.2374 | + | 12.0992i | 1.53174 | + | 0.497693i | ||||
\(592\) | −21.3923 | + | 3.38820i | −0.879217 | + | 0.139254i | ||||
\(593\) | −4.37233 | + | 4.37233i | −0.179550 | + | 0.179550i | −0.791160 | − | 0.611610i | \(-0.790522\pi\) |
0.611610 | + | 0.791160i | \(0.290522\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.89103 | + | 10.2917i | −0.364497 | + | 0.421918i | ||||
\(596\) | 61.9543 | − | 85.2728i | 2.53775 | − | 3.49291i | ||||
\(597\) | 20.3437 | + | 39.9268i | 0.832612 | + | 1.63409i | ||||
\(598\) | −11.6211 | + | 22.8078i | −0.475224 | + | 0.932679i | ||||
\(599\) | −21.5069 | − | 29.6017i | −0.878748 | − | 1.20949i | −0.976766 | − | 0.214308i | \(-0.931250\pi\) |
0.0980183 | − | 0.995185i | \(-0.468750\pi\) | |||||||
\(600\) | 43.1336 | + | 44.1202i | 1.76092 | + | 1.80120i | ||||
\(601\) | −10.2436 | + | 3.32834i | −0.417844 | + | 0.135766i | −0.510391 | − | 0.859943i | \(-0.670499\pi\) |
0.0925467 | + | 0.995708i | \(0.470499\pi\) | |||||||
\(602\) | −26.3058 | + | 13.4035i | −1.07215 | + | 0.546286i | ||||
\(603\) | 0.555417 | + | 3.50677i | 0.0226183 | + | 0.142807i | ||||
\(604\) | −63.6982 | −2.59184 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −49.6491 | −2.01686 | ||||||||
\(607\) | −5.17723 | − | 32.6877i | −0.210137 | − | 1.32675i | −0.836819 | − | 0.547479i | \(-0.815588\pi\) |
0.626682 | − | 0.779275i | \(-0.284412\pi\) | |||||||
\(608\) | −5.58728 | + | 2.84686i | −0.226594 | + | 0.115455i | ||||
\(609\) | 10.1235 | − | 3.28934i | 0.410226 | − | 0.133291i | ||||
\(610\) | −40.3270 | + | 34.0501i | −1.63279 | + | 1.37865i | ||||
\(611\) | 10.2409 | + | 14.0955i | 0.414304 | + | 0.570241i | ||||
\(612\) | −6.89467 | + | 13.5315i | −0.278700 | + | 0.546980i | ||||
\(613\) | 9.82369 | + | 19.2801i | 0.396775 | + | 0.778715i | 0.999820 | − | 0.0189923i | \(-0.00604581\pi\) |
−0.603044 | + | 0.797708i | \(0.706046\pi\) | |||||||
\(614\) | −48.4557 | + | 66.6936i | −1.95551 | + | 2.69153i | ||||
\(615\) | −5.82899 | + | 0.425611i | −0.235048 | + | 0.0171623i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −23.2611 | + | 23.2611i | −0.936455 | + | 0.936455i | −0.998098 | − | 0.0616431i | \(-0.980366\pi\) |
0.0616431 | + | 0.998098i | \(0.480366\pi\) | |||||||
\(618\) | −23.4547 | + | 3.71487i | −0.943488 | + | 0.149434i | ||||
\(619\) | 39.3965 | + | 12.8007i | 1.58348 | + | 0.514503i | 0.962950 | − | 0.269681i | \(-0.0869184\pi\) |
0.620528 | + | 0.784184i | \(0.286918\pi\) | |||||||
\(620\) | 36.5961 | + | 15.4016i | 1.46974 | + | 0.618542i | ||||
\(621\) | −14.3773 | + | 10.4457i | −0.576941 | + | 0.419172i | ||||
\(622\) | 34.7784 | + | 5.50836i | 1.39449 | + | 0.220865i | ||||
\(623\) | −6.21416 | − | 3.16627i | −0.248965 | − | 0.126854i | ||||
\(624\) | 9.43299 | − | 29.0318i | 0.377622 | − | 1.16220i | ||||
\(625\) | 23.5957 | + | 8.26104i | 0.943826 | + | 0.330441i | ||||
\(626\) | 44.0839i | 1.76195i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −42.2480 | − | 42.2480i | −1.68588 | − | 1.68588i | ||||
\(629\) | −8.73332 | − | 6.34513i | −0.348220 | − | 0.252997i | ||||
\(630\) | −8.94129 | + | 5.40994i | −0.356229 | + | 0.215537i | ||||
\(631\) | −9.72155 | − | 29.9199i | −0.387009 | − | 1.19109i | −0.935013 | − | 0.354615i | \(-0.884612\pi\) |
0.548004 | − | 0.836476i | \(-0.315388\pi\) | |||||||
\(632\) | 1.10260 | − | 6.96154i | 0.0438591 | − | 0.276915i | ||||
\(633\) | 0.118096 | − | 0.745631i | 0.00469391 | − | 0.0296362i | ||||
\(634\) | −12.6582 | − | 38.9581i | −0.502723 | − | 1.54722i | ||||
\(635\) | 0.447698 | + | 0.110163i | 0.0177664 | + | 0.00437169i | ||||
\(636\) | −45.7408 | − | 33.2326i | −1.81374 | − | 1.31776i | ||||
\(637\) | −5.95137 | − | 5.95137i | −0.235802 | − | 0.235802i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 6.90382i | − | 0.273111i | ||||||
\(640\) | −24.6276 | − | 15.2840i | −0.973491 | − | 0.604152i | ||||
\(641\) | 6.34149 | − | 19.5171i | 0.250474 | − | 0.770879i | −0.744214 | − | 0.667941i | \(-0.767176\pi\) |
0.994688 | − | 0.102938i | \(-0.0328243\pi\) | |||||||
\(642\) | 69.3014 | + | 35.3108i | 2.73511 | + | 1.39361i | ||||
\(643\) | −17.4058 | − | 2.75681i | −0.686419 | − | 0.108718i | −0.196523 | − | 0.980499i | \(-0.562965\pi\) |
−0.489896 | + | 0.871781i | \(0.662965\pi\) | |||||||
\(644\) | 28.9880 | − | 21.0610i | 1.14229 | − | 0.829919i | ||||
\(645\) | −11.2004 | + | 26.6136i | −0.441015 | + | 1.04791i | ||||
\(646\) | −10.5924 | − | 3.44169i | −0.416754 | − | 0.135412i | ||||
\(647\) | −5.69058 | + | 0.901299i | −0.223720 | + | 0.0354337i | −0.267288 | − | 0.963617i | \(-0.586127\pi\) |
0.0435681 | + | 0.999050i | \(0.486127\pi\) | |||||||
\(648\) | 47.9592 | − | 47.9592i | 1.88401 | − | 1.88401i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −4.15374 | − | 28.2924i | −0.162923 | − | 1.10972i | ||||
\(651\) | −8.54453 | + | 11.7605i | −0.334886 | + | 0.460932i | ||||
\(652\) | 2.15733 | + | 4.23400i | 0.0844876 | + | 0.165816i | ||||
\(653\) | 2.64867 | − | 5.19830i | 0.103650 | − | 0.203425i | −0.833357 | − | 0.552735i | \(-0.813584\pi\) |
0.937007 | + | 0.349310i | \(0.113584\pi\) | |||||||
\(654\) | 53.4315 | + | 73.5421i | 2.08934 | + | 2.87573i | ||||
\(655\) | 0.103742 | − | 1.22929i | 0.00405355 | − | 0.0480322i | ||||
\(656\) | −8.36866 | + | 2.71914i | −0.326741 | + | 0.106165i | ||||
\(657\) | −8.57932 | + | 4.37138i | −0.334711 | + | 0.170544i | ||||
\(658\) | −5.53844 | − | 34.9683i | −0.215911 | − | 1.36321i | ||||
\(659\) | 5.21347 | 0.203088 | 0.101544 | − | 0.994831i | \(-0.467622\pi\) | ||||
0.101544 | + | 0.994831i | \(0.467622\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.56016 | 0.177369 | 0.0886847 | − | 0.996060i | \(-0.471734\pi\) | ||||
0.0886847 | + | 0.996060i | \(0.471734\pi\) | |||||||
\(662\) | 5.82370 | + | 36.7694i | 0.226344 | + | 1.42908i | ||||
\(663\) | 13.5560 | − | 6.90714i | 0.526472 | − | 0.268251i | ||||
\(664\) | −61.2597 | + | 19.9045i | −2.37734 | + | 0.772443i | ||||
\(665\) | −3.40597 | − | 4.03383i | −0.132078 | − | 0.156425i | ||||
\(666\) | −4.87562 | − | 6.71071i | −0.188926 | − | 0.260035i | ||||
\(667\) | −5.96692 | + | 11.7107i | −0.231040 | + | 0.453442i | ||||
\(668\) | −3.80289 | − | 7.46360i | −0.147138 | − | 0.288775i | ||||
\(669\) | 8.96724 | − | 12.3423i | 0.346693 | − | 0.477182i | ||||
\(670\) | 14.9389 | + | 12.9058i | 0.577139 | + | 0.498593i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −12.3084 | + | 12.3084i | −0.474805 | + | 0.474805i | ||||
\(673\) | −0.552500 | + | 0.0875074i | −0.0212973 | + | 0.00337316i | −0.167074 | − | 0.985944i | \(-0.553432\pi\) |
0.145777 | + | 0.989318i | \(0.453432\pi\) | |||||||
\(674\) | 32.5300 | + | 10.5696i | 1.25301 | + | 0.407127i | ||||
\(675\) | 6.34787 | − | 18.8104i | 0.244330 | − | 0.724013i | ||||
\(676\) | 28.3397 | − | 20.5900i | 1.08999 | − | 0.791922i | ||||
\(677\) | −28.7536 | − | 4.55413i | −1.10509 | − | 0.175029i | −0.422881 | − | 0.906185i | \(-0.638981\pi\) |
−0.682211 | + | 0.731156i | \(0.738981\pi\) | |||||||
\(678\) | 33.8295 | + | 17.2370i | 1.29922 | + | 0.661983i | ||||
\(679\) | 0.434705 | − | 1.33788i | 0.0166824 | − | 0.0513433i | ||||
\(680\) | 10.5539 | + | 45.0813i | 0.404723 | + | 1.72879i | ||||
\(681\) | 16.4454i | 0.630190i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.43554 | + | 5.43554i | 0.207985 | + | 0.207985i | 0.803411 | − | 0.595425i | \(-0.203016\pi\) |
−0.595425 | + | 0.803411i | \(0.703016\pi\) | |||||||
\(684\) | −4.76938 | − | 3.46516i | −0.182362 | − | 0.132494i | ||||
\(685\) | −8.26878 | + | 33.6040i | −0.315934 | + | 1.28394i | ||||
\(686\) | 15.2005 | + | 46.7824i | 0.580359 | + | 1.78616i | ||||
\(687\) | 2.38022 | − | 15.0281i | 0.0908109 | − | 0.573357i | ||||
\(688\) | −6.80059 | + | 42.9373i | −0.259270 | + | 1.63697i | ||||
\(689\) | 4.43970 | + | 13.6640i | 0.169139 | + | 0.520556i | ||||
\(690\) | 12.1552 | − | 49.3983i | 0.462742 | − | 1.88056i | ||||
\(691\) | 7.63722 | + | 5.54876i | 0.290533 | + | 0.211085i | 0.723499 | − | 0.690326i | \(-0.242533\pi\) |
−0.432965 | + | 0.901411i | \(0.642533\pi\) | |||||||
\(692\) | 59.3222 | + | 59.3222i | 2.25509 | + | 2.25509i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 31.0215i | 1.17756i | ||||||||
\(695\) | −0.725163 | − | 3.09756i | −0.0275070 | − | 0.117497i | ||||
\(696\) | 11.1980 | − | 34.4640i | 0.424460 | − | 1.30635i | ||||
\(697\) | −3.90764 | − | 1.99104i | −0.148013 | − | 0.0754162i | ||||
\(698\) | −51.0116 | − | 8.07944i | −1.93082 | − | 0.305811i | ||||
\(699\) | 42.5240 | − | 30.8955i | 1.60840 | − | 1.16857i | ||||
\(700\) | −12.7988 | + | 37.9261i | −0.483748 | + | 1.43347i | ||||
\(701\) | 18.7439 | + | 6.09025i | 0.707946 | + | 0.230026i | 0.640789 | − | 0.767717i | \(-0.278607\pi\) |
0.0671568 | + | 0.997742i | \(0.478607\pi\) | |||||||
\(702\) | −22.4284 | + | 3.55231i | −0.846505 | + | 0.134073i | ||||
\(703\) | 2.96308 | − | 2.96308i | 0.111755 | − | 0.111755i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −26.2019 | − | 22.6360i | −0.986822 | − | 0.852520i | ||||
\(706\) | −29.0592 | + | 39.9966i | −1.09366 | + | 1.50529i | ||||
\(707\) | −8.01754 | − | 15.7353i | −0.301531 | − | 0.591787i | ||||
\(708\) | 49.9247 | − | 97.9827i | 1.87628 | − | 3.68241i | ||||
\(709\) | 26.1327 | + | 35.9685i | 0.981433 | + | 1.35083i | 0.936054 | + | 0.351857i | \(0.114450\pi\) |
0.0453796 | + | 0.998970i | \(0.485550\pi\) | |||||||
\(710\) | −24.7649 | − | 29.3301i | −0.929411 | − | 1.10074i | ||||
\(711\) | 1.11039 | − | 0.360788i | 0.0416429 | − | 0.0135306i | ||||
\(712\) | −21.1551 | + | 10.7791i | −0.792822 | + | 0.403963i | ||||
\(713\) | −2.80789 | − | 17.7283i | −0.105156 | − | 0.663930i | ||||
\(714\) | −30.9161 | −1.15701 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 72.5395 | 2.71093 | ||||||||
\(717\) | −0.713834 | − | 4.50697i | −0.0266586 | − | 0.168316i | ||||
\(718\) | −37.3178 | + | 19.0144i | −1.39269 | + | 0.709610i | ||||
\(719\) | −22.8147 | + | 7.41293i | −0.850843 | + | 0.276456i | −0.701799 | − | 0.712375i | \(-0.747620\pi\) |
−0.149044 | + | 0.988831i | \(0.547620\pi\) | |||||||
\(720\) | −1.29403 | + | 15.3335i | −0.0482256 | + | 0.571446i | ||||
\(721\) | −4.96493 | − | 6.83363i | −0.184903 | − | 0.254498i | ||||
\(722\) | −19.9063 | + | 39.0683i | −0.740835 | + | 1.45397i | ||||
\(723\) | 5.73000 | + | 11.2458i | 0.213101 | + | 0.418234i | ||||
\(724\) | 38.6833 | − | 53.2430i | 1.43765 | − | 1.97876i | ||||
\(725\) | −2.13276 | − | 14.5268i | −0.0792087 | − | 0.539513i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −17.6187 | + | 17.6187i | −0.653441 | + | 0.653441i | −0.953820 | − | 0.300379i | \(-0.902887\pi\) |
0.300379 | + | 0.953820i | \(0.402887\pi\) | |||||||
\(728\) | 24.7948 | − | 3.92711i | 0.918956 | − | 0.145548i | ||||
\(729\) | −12.0275 | − | 3.90797i | −0.445462 | − | 0.144739i | ||||
\(730\) | −20.7676 | + | 49.3465i | −0.768643 | + | 1.82640i | ||||
\(731\) | −17.5290 | + | 12.7355i | −0.648332 | + | 0.471041i | ||||
\(732\) | −81.6292 | − | 12.9288i | −3.01710 | − | 0.477862i | ||||
\(733\) | −0.0482047 | − | 0.0245615i | −0.00178048 | − | 0.000907200i | 0.453100 | − | 0.891460i | \(-0.350318\pi\) |
−0.454881 | + | 0.890552i | \(0.650318\pi\) | |||||||
\(734\) | −5.04650 | + | 15.5315i | −0.186270 | + | 0.573280i | ||||
\(735\) | 14.2121 | + | 8.82010i | 0.524222 | + | 0.325334i | ||||
\(736\) | − | 21.4928i | − | 0.792235i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −2.38292 | − | 2.38292i | −0.0877163 | − | 0.0877163i | ||||
\(739\) | −15.5776 | − | 11.3178i | −0.573031 | − | 0.416331i | 0.263174 | − | 0.964748i | \(-0.415231\pi\) |
−0.836205 | + | 0.548417i | \(0.815231\pi\) | |||||||
\(740\) | −30.8507 | − | 7.59130i | −1.13409 | − | 0.279062i | ||||
\(741\) | 1.82504 | + | 5.61688i | 0.0670444 | + | 0.206341i | ||||
\(742\) | 4.56706 | − | 28.8353i | 0.167662 | − | 1.05858i | ||||
\(743\) | 1.16520 | − | 7.35679i | 0.0427471 | − | 0.269895i | −0.957052 | − | 0.289915i | \(-0.906373\pi\) |
0.999800 | + | 0.0200201i | \(0.00637303\pi\) | |||||||
\(744\) | 15.2927 | + | 47.0662i | 0.560659 | + | 1.72553i | ||||
\(745\) | 45.5422 | − | 27.5554i | 1.66854 | − | 1.00955i | ||||
\(746\) | −28.1261 | − | 20.4348i | −1.02977 | − | 0.748171i | ||||
\(747\) | −7.54462 | − | 7.54462i | −0.276043 | − | 0.276043i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 27.6659i | 1.01089i | ||||||||
\(750\) | 20.8543 | + | 52.8650i | 0.761491 | + | 1.93036i | ||||
\(751\) | −9.31643 | + | 28.6730i | −0.339962 | + | 1.04629i | 0.624265 | + | 0.781213i | \(0.285399\pi\) |
−0.964226 | + | 0.265081i | \(0.914601\pi\) | |||||||
\(752\) | −46.4493 | − | 23.6671i | −1.69383 | − | 0.863050i | ||||
\(753\) | −52.6633 | − | 8.34104i | −1.91916 | − | 0.303964i | ||||
\(754\) | −13.5869 | + | 9.87144i | −0.494805 | + | 0.359497i | ||||
\(755\) | −29.6495 | − | 12.4781i | −1.07906 | − | 0.454123i | ||||
\(756\) | 30.2303 | + | 9.82242i | 1.09947 | + | 0.357238i | ||||
\(757\) | −43.9547 | + | 6.96174i | −1.59756 | + | 0.253029i | −0.890790 | − | 0.454415i | \(-0.849848\pi\) |
−0.706770 | + | 0.707444i | \(0.749848\pi\) | |||||||
\(758\) | 38.5456 | − | 38.5456i | 1.40004 | − | 1.40004i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −17.9253 | + | 1.30883i | −0.650218 | + | 0.0474764i | ||||
\(761\) | 27.6916 | − | 38.1143i | 1.00382 | − | 1.38164i | 0.0808703 | − | 0.996725i | \(-0.474230\pi\) |
0.922951 | − | 0.384917i | \(-0.125770\pi\) | |||||||
\(762\) | 0.475809 | + | 0.933828i | 0.0172367 | + | 0.0338290i | ||||
\(763\) | −14.6794 | + | 28.8100i | −0.531430 | + | 1.04299i | ||||
\(764\) | 4.96982 | + | 6.84037i | 0.179802 | + | 0.247476i | ||||
\(765\) | −5.85999 | + | 4.94789i | −0.211869 | + | 0.178891i | ||||
\(766\) | 0.731646 | − | 0.237726i | 0.0264354 | − | 0.00858940i | ||||
\(767\) | −24.8986 | + | 12.6865i | −0.899035 | + | 0.458081i | ||||
\(768\) | −9.47622 | − | 59.8305i | −0.341944 | − | 2.15895i | ||||
\(769\) | −29.7849 | −1.07407 | −0.537036 | − | 0.843559i | \(-0.680456\pi\) | ||||
−0.537036 | + | 0.843559i | \(0.680456\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 39.6451 | 1.42778 | ||||||||
\(772\) | −7.88444 | − | 49.7804i | −0.283767 | − | 1.79164i | ||||
\(773\) | 6.34696 | − | 3.23394i | 0.228284 | − | 0.116317i | −0.336108 | − | 0.941824i | \(-0.609111\pi\) |
0.564392 | + | 0.825507i | \(0.309111\pi\) | |||||||
\(774\) | −15.8342 | + | 5.14483i | −0.569147 | + | 0.184927i | ||||
\(775\) | 14.0173 | + | 14.3379i | 0.503516 | + | 0.515032i | ||||
\(776\) | −2.81491 | − | 3.87439i | −0.101049 | − | 0.139082i | ||||
\(777\) | 5.28082 | − | 10.3642i | 0.189448 | − | 0.371813i | ||||
\(778\) | 4.14513 | + | 8.13528i | 0.148610 | + | 0.291664i | ||||
\(779\) | 1.00067 | − | 1.37730i | 0.0358527 | − | 0.0493470i | ||||
\(780\) | 29.2727 | − | 33.8842i | 1.04813 | − | 1.21325i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 26.9928 | − | 26.9928i | 0.965260 | − | 0.965260i | ||||
\(783\) | −11.5159 | + | 1.82395i | −0.411546 | + | 0.0651826i | ||||
\(784\) | 23.9505 | + | 7.78200i | 0.855376 | + | 0.277928i | ||||
\(785\) | −11.3890 | − | 27.9413i | −0.406492 | − | 0.997266i | ||||
\(786\) | 2.26875 | − | 1.64835i | 0.0809237 | − | 0.0587945i | ||||
\(787\) | −28.5017 | − | 4.51422i | −1.01597 | − | 0.160915i | −0.373829 | − | 0.927498i | \(-0.621955\pi\) |
−0.642145 | + | 0.766583i | \(0.721955\pi\) | |||||||
\(788\) | 77.0457 | + | 39.2567i | 2.74464 | + | 1.39846i | ||||
\(789\) | −5.18471 | + | 15.9569i | −0.184581 | + | 0.568081i | ||||
\(790\) | 3.42318 | − | 5.51589i | 0.121791 | − | 0.196247i | ||||
\(791\) | 13.5051i | 0.480187i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 14.8503 | + | 14.8503i | 0.527350 | + | 0.527350i | ||||
\(794\) | 64.3320 | + | 46.7400i | 2.28306 | + | 1.65874i | ||||
\(795\) | −14.7809 | − | 24.4291i | −0.524223 | − | 0.866410i | ||||
\(796\) | 30.5816 | + | 94.1204i | 1.08394 | + | 3.33601i | ||||
\(797\) | 4.83989 | − | 30.5579i | 0.171438 | − | 1.08241i | −0.740491 | − | 0.672066i | \(-0.765407\pi\) |
0.911929 | − | 0.410349i | \(-0.134593\pi\) | |||||||
\(798\) | 1.87739 | − | 11.8534i | 0.0664590 | − | 0.419605i | ||||
\(799\) | −8.02906 | − | 24.7109i | −0.284048 | − | 0.874209i | ||||
\(800\) | 13.8922 | + | 19.5828i | 0.491163 | + | 0.692355i | ||||
\(801\) | −3.18183 | − | 2.31173i | −0.112424 | − | 0.0816811i | ||||
\(802\) | 17.9225 | + | 17.9225i | 0.632866 | + | 0.632866i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 30.9130i | 1.09022i | ||||||||
\(805\) | 17.6187 | − | 4.12468i | 0.620978 | − | 0.145376i | ||||
\(806\) | 7.08741 | − | 21.8128i | 0.249644 | − | 0.768324i | ||||
\(807\) | −17.3468 | − | 8.83865i | −0.610637 | − | 0.311135i | ||||
\(808\) | −59.3810 | − | 9.40503i | −2.08902 | − | 0.330868i | ||||
\(809\) | 15.9139 | − | 11.5621i | 0.559503 | − | 0.406503i | −0.271774 | − | 0.962361i | \(-0.587610\pi\) |
0.831277 | + | 0.555858i | \(0.187610\pi\) | |||||||
\(810\) | 57.8481 | − | 23.5792i | 2.03257 | − | 0.828490i | ||||
\(811\) | −40.1916 | − | 13.0591i | −1.41132 | − | 0.458565i | −0.498486 | − | 0.866898i | \(-0.666110\pi\) |
−0.912833 | + | 0.408332i | \(0.866110\pi\) | |||||||
\(812\) | 23.2188 | − | 3.67750i | 0.814821 | − | 0.129055i | ||||
\(813\) | 4.32597 | − | 4.32597i | 0.151718 | − | 0.151718i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0.174757 | + | 2.39340i | 0.00612147 | + | 0.0838373i | ||||
\(816\) | −26.7576 | + | 36.8286i | −0.936703 | + | 1.28926i | ||||
\(817\) | −3.81841 | − | 7.49406i | −0.133589 | − | 0.262184i | ||||
\(818\) | 34.9804 | − | 68.6529i | 1.22306 | − | 2.40039i | ||||
\(819\) | 2.44424 | + | 3.36420i | 0.0854085 | + | 0.117555i | ||||
\(820\) | −12.8618 | − | 1.08544i | −0.449153 | − | 0.0379051i | ||||
\(821\) | 50.5707 | − | 16.4314i | 1.76493 | − | 0.573461i | 0.767239 | − | 0.641362i | \(-0.221630\pi\) |
0.997692 | + | 0.0679009i | \(0.0216302\pi\) | |||||||
\(822\) | −70.0925 | + | 35.7139i | −2.44476 | + | 1.24567i | ||||
\(823\) | 0.219079 | + | 1.38321i | 0.00763662 | + | 0.0482157i | 0.991212 | − | 0.132280i | \(-0.0422298\pi\) |
−0.983576 | + | 0.180496i | \(0.942230\pi\) | |||||||
\(824\) | −28.7559 | −1.00176 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 56.7841 | 1.97577 | ||||||||
\(827\) | 2.70418 | + | 17.0735i | 0.0940334 | + | 0.593704i | 0.989040 | + | 0.147650i | \(0.0471710\pi\) |
−0.895006 | + | 0.446054i | \(0.852829\pi\) | |||||||
\(828\) | 18.0035 | − | 9.17326i | 0.625666 | − | 0.318793i | ||||
\(829\) | 34.1356 | − | 11.0913i | 1.18558 | − | 0.385217i | 0.351141 | − | 0.936322i | \(-0.385794\pi\) |
0.834436 | + | 0.551105i | \(0.185794\pi\) | |||||||
\(830\) | −59.1160 | − | 4.98894i | −2.05195 | − | 0.173169i | ||||
\(831\) | −2.80487 | − | 3.86058i | −0.0973000 | − | 0.133922i | ||||
\(832\) | −1.35660 | + | 2.66248i | −0.0470317 | + | 0.0923049i | ||||
\(833\) | 5.69823 | + | 11.1834i | 0.197432 | + | 0.387482i | ||||
\(834\) | 4.25069 | − | 5.85057i | 0.147189 | − | 0.202589i | ||||
\(835\) | −0.308058 | − | 4.21903i | −0.0106608 | − | 0.146006i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 11.2592 | − | 11.2592i | 0.389176 | − | 0.389176i | ||||
\(838\) | −18.7352 | + | 2.96737i | −0.647198 | + | 0.102506i | ||||
\(839\) | 4.71797 | + | 1.53296i | 0.162883 | + | 0.0529238i | 0.389323 | − | 0.921101i | \(-0.372709\pi\) |
−0.226441 | + | 0.974025i | \(0.572709\pi\) | |||||||
\(840\) | −46.1998 | + | 18.8313i | −1.59404 | + | 0.649742i | ||||
\(841\) | 16.4853 | − | 11.9772i | 0.568457 | − | 0.413008i | ||||
\(842\) | 51.1411 | + | 8.09995i | 1.76244 | + | 0.279143i | ||||
\(843\) | −50.4329 | − | 25.6968i | −1.73700 | − | 0.885046i | ||||
\(844\) | 0.515206 | − | 1.58564i | 0.0177341 | − | 0.0545800i | ||||
\(845\) | 17.2247 | − | 4.03243i | 0.592547 | − | 0.138720i | ||||
\(846\) | − | 19.9651i | − | 0.686415i | ||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −30.3971 | − | 30.3971i | −1.04384 | − | 1.04384i | ||||
\(849\) | 27.5956 | + | 20.0494i | 0.947079 | + | 0.688093i | ||||
\(850\) | −7.14681 | + | 42.0412i | −0.245133 | + | 1.44200i | ||||
\(851\) | 4.43828 | + | 13.6596i | 0.152142 | + | 0.468246i | ||||
\(852\) | 9.40321 | − | 59.3695i | 0.322149 | − | 2.03397i | ||||
\(853\) | 4.15759 | − | 26.2500i | 0.142353 | − | 0.898782i | −0.808355 | − | 0.588695i | \(-0.799642\pi\) |
0.950708 | − | 0.310087i | \(-0.100358\pi\) | |||||||
\(854\) | −13.1876 | − | 40.5873i | −0.451271 | − | 1.38887i | ||||
\(855\) | −1.54119 | − | 2.54721i | −0.0527078 | − | 0.0871128i | ||||
\(856\) | 76.1965 | + | 55.3600i | 2.60434 | + | 1.89217i | ||||
\(857\) | 1.04396 | + | 1.04396i | 0.0356609 | + | 0.0356609i | 0.724712 | − | 0.689051i | \(-0.241973\pi\) |
−0.689051 | + | 0.724712i | \(0.741973\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 13.9402i | − | 0.475633i | −0.971310 | − | 0.237816i | \(-0.923568\pi\) | ||
0.971310 | − | 0.237816i | \(-0.0764316\pi\) | |||||||
\(860\) | −33.6259 | + | 54.1825i | −1.14663 | + | 1.84761i | ||||
\(861\) | 1.46032 | − | 4.49441i | 0.0497677 | − | 0.153169i | ||||
\(862\) | −76.0505 | − | 38.7497i | −2.59029 | − | 1.31982i | ||||
\(863\) | 50.6772 | + | 8.02648i | 1.72507 | + | 0.273225i | 0.938752 | − | 0.344594i | \(-0.111983\pi\) |
0.786321 | + | 0.617819i | \(0.211983\pi\) | |||||||
\(864\) | 15.4250 | − | 11.2070i | 0.524771 | − | 0.381268i | ||||
\(865\) | 15.9918 | + | 39.2335i | 0.543737 | + | 1.33398i | ||||
\(866\) | 27.9681 | + | 9.08738i | 0.950394 | + | 0.308802i | ||||
\(867\) | 11.2540 | − | 1.78245i | 0.382205 | − | 0.0605353i | ||||
\(868\) | −22.7012 | + | 22.7012i | −0.770529 | + | 0.770529i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 21.8192 | − | 25.2565i | 0.739742 | − | 0.856277i | ||||
\(871\) | 4.61726 | − | 6.35512i | 0.156450 | − | 0.215335i | ||||
\(872\) | 49.9738 | + | 98.0790i | 1.69232 | + | 3.32137i | ||||
\(873\) | 0.360144 | − | 0.706822i | 0.0121890 | − | 0.0239223i | ||||
\(874\) | 8.71002 | + | 11.9883i | 0.294621 | + | 0.405511i | ||||
\(875\) | −13.3869 | + | 15.1462i | −0.452560 | + | 0.512036i | ||||
\(876\) | −79.7320 | + | 25.9065i | −2.69389 | + | 0.875300i | ||||
\(877\) | 5.94588 | − | 3.02958i | 0.200778 | − | 0.102301i | −0.350711 | − | 0.936484i | \(-0.614060\pi\) |
0.551489 | + | 0.834182i | \(0.314060\pi\) | |||||||
\(878\) | 4.25330 | + | 26.8543i | 0.143542 | + | 0.906288i | ||||
\(879\) | 21.4220 | 0.722546 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −14.4573 | −0.487080 | −0.243540 | − | 0.969891i | \(-0.578309\pi\) | ||||
−0.243540 | + | 0.969891i | \(0.578309\pi\) | |||||||
\(882\) | 1.50874 | + | 9.52583i | 0.0508020 | + | 0.320751i | ||||
\(883\) | 9.32102 | − | 4.74930i | 0.313677 | − | 0.159827i | −0.290063 | − | 0.957007i | \(-0.593676\pi\) |
0.603740 | + | 0.797181i | \(0.293676\pi\) | |||||||
\(884\) | 31.9560 | − | 10.3831i | 1.07480 | − | 0.349222i | ||||
\(885\) | 42.4325 | − | 35.8280i | 1.42635 | − | 1.20434i | ||||
\(886\) | 60.1058 | + | 82.7286i | 2.01930 | + | 2.77932i | ||||
\(887\) | −4.48682 | + | 8.80588i | −0.150653 | + | 0.295673i | −0.953983 | − | 0.299861i | \(-0.903060\pi\) |
0.803330 | + | 0.595534i | \(0.203060\pi\) | |||||||
\(888\) | −17.9777 | − | 35.2832i | −0.603292 | − | 1.18403i | ||||
\(889\) | −0.219123 | + | 0.301597i | −0.00734915 | + | 0.0101152i | ||||
\(890\) | −21.8101 | + | 1.59249i | −0.731078 | + | 0.0533805i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 23.8243 | − | 23.8243i | 0.797695 | − | 0.797695i | ||||
\(893\) | 9.96185 | − | 1.57780i | 0.333361 | − | 0.0527991i | ||||
\(894\) | 115.079 | + | 37.3913i | 3.84881 | + | 1.25055i | ||||
\(895\) | 33.7649 | + | 14.2100i | 1.12864 | + | 0.474989i | ||||
\(896\) | 18.9604 | − | 13.7755i | 0.633421 | − | 0.460207i | ||||
\(897\) | −19.9932 | − | 3.16661i | −0.667553 | − | 0.105730i | ||||
\(898\) | −8.22628 | − | 4.19150i | −0.274515 | − | 0.139872i | ||||
\(899\) | 3.63906 | − | 11.1999i | 0.121370 | − | 0.373537i | ||||
\(900\) | −10.4743 | + | 19.9949i | −0.349144 | + | 0.666497i | ||||
\(901\) | − | 21.4256i | − | 0.713789i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −16.5088 | − | 16.5088i | −0.549380 | − | 0.549380i | ||||
\(904\) | 37.1954 | + | 27.0240i | 1.23710 | + | 0.898806i | ||||
\(905\) | 28.4358 | − | 17.2051i | 0.945238 | − | 0.571918i | ||||
\(906\) | −22.5967 | − | 69.5455i | −0.750725 | − | 2.31049i | ||||
\(907\) | 1.81013 | − | 11.4287i | 0.0601042 | − | 0.379483i | −0.939240 | − | 0.343262i | \(-0.888468\pi\) |
0.999344 | − | 0.0362209i | \(-0.0115320\pi\) | |||||||
\(908\) | −5.68162 | + | 35.8723i | −0.188551 | + | 1.19046i | ||||
\(909\) | −3.07747 | − | 9.47148i | −0.102073 | − | 0.314149i | ||||
\(910\) | 22.4519 | + | 5.52465i | 0.744274 | + | 0.183140i | ||||
\(911\) | 7.05585 | + | 5.12638i | 0.233771 | + | 0.169844i | 0.698504 | − | 0.715607i | \(-0.253850\pi\) |
−0.464733 | + | 0.885451i | \(0.653850\pi\) | |||||||
\(912\) | −12.4954 | − | 12.4954i | −0.413765 | − | 0.413765i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 45.8704i | − | 1.51726i | ||||||
\(915\) | −35.4632 | − | 22.0086i | −1.17238 | − | 0.727581i | ||||
\(916\) | 10.3839 | − | 31.9584i | 0.343094 | − | 1.05593i | ||||
\(917\) | 0.888779 | + | 0.452856i | 0.0293501 | + | 0.0149546i | ||||
\(918\) | 33.4471 | + | 5.29751i | 1.10392 | + | 0.174844i | ||||
\(919\) | 4.67338 | − | 3.39541i | 0.154160 | − | 0.112004i | −0.508031 | − | 0.861339i | \(-0.669627\pi\) |
0.662192 | + | 0.749335i | \(0.269627\pi\) | |||||||
\(920\) | 23.8953 | − | 56.7785i | 0.787806 | − | 1.87193i | ||||
\(921\) | −62.0002 | − | 20.1451i | −2.04298 | − | 0.663803i | ||||
\(922\) | 89.1164 | − | 14.1147i | 2.93489 | − | 0.464842i | ||||
\(923\) | −10.8007 | + | 10.8007i | −0.355511 | + | 0.355511i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.8729 | − | 9.57696i | −0.423260 | − | 0.314889i | ||||
\(926\) | 9.41628 | − | 12.9604i | 0.309438 | − | 0.425905i | ||||
\(927\) | −2.16251 | − | 4.24416i | −0.0710261 | − | 0.139397i | ||||
\(928\) | 6.40176 | − | 12.5642i | 0.210148 | − | 0.412439i | ||||
\(929\) | 10.6620 | + | 14.6749i | 0.349807 | + | 0.481468i | 0.947274 | − | 0.320425i | \(-0.103826\pi\) |
−0.597466 | + | 0.801894i | \(0.703826\pi\) | |||||||
\(930\) | −3.83303 | + | 45.4192i | −0.125690 | + | 1.48935i | ||||
\(931\) | −4.63380 | + | 1.50561i | −0.151867 | + | 0.0493444i | ||||
\(932\) | 103.431 | − | 52.7008i | 3.38800 | − | 1.72627i | ||||
\(933\) | 4.35595 | + | 27.5024i | 0.142607 | + | 0.900387i | ||||
\(934\) | 21.9374 | 0.717813 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 14.1566 | 0.462722 | ||||||||
\(937\) | 5.02763 | + | 31.7432i | 0.164245 | + | 1.03700i | 0.922767 | + | 0.385357i | \(0.125922\pi\) |
−0.758522 | + | 0.651648i | \(0.774078\pi\) | |||||||
\(938\) | −14.2227 | + | 7.24680i | −0.464386 | + | 0.236617i | ||||
\(939\) | −33.1548 | + | 10.7727i | −1.08197 | + | 0.351552i | ||||
\(940\) | −49.3338 | − | 58.4281i | −1.60909 | − | 1.90571i | ||||
\(941\) | −3.06305 | − | 4.21593i | −0.0998526 | − | 0.137435i | 0.756167 | − | 0.654379i | \(-0.227070\pi\) |
−0.856020 | + | 0.516943i | \(0.827070\pi\) | |||||||
\(942\) | 31.1389 | − | 61.1136i | 1.01456 | − | 1.99119i | ||||
\(943\) | 2.64906 | + | 5.19907i | 0.0862652 | + | 0.169305i | ||||
\(944\) | 49.1461 | − | 67.6438i | 1.59957 | − | 2.20162i | ||||
\(945\) | 12.1471 | + | 10.4940i | 0.395146 | + | 0.341368i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −0.545091 | + | 0.545091i | −0.0177131 | + | 0.0177131i | −0.715908 | − | 0.698195i | \(-0.753987\pi\) |
0.698195 | + | 0.715908i | \(0.253987\pi\) | |||||||
\(948\) | 10.0402 | − | 1.59022i | 0.326092 | − | 0.0516478i | ||||
\(949\) | 20.2609 | + | 6.58315i | 0.657695 | + | 0.213698i | ||||
\(950\) | −15.6848 | − | 5.29308i | −0.508882 | − | 0.171730i | ||||
\(951\) | 26.2065 | − | 19.0401i | 0.849804 | − | 0.617419i | ||||
\(952\) | −36.9761 | − | 5.85644i | −1.19840 | − | 0.189808i | ||||
\(953\) | 12.1009 | + | 6.16570i | 0.391986 | + | 0.199727i | 0.638864 | − | 0.769320i | \(-0.279405\pi\) |
−0.246878 | + | 0.969047i | \(0.579405\pi\) | |||||||
\(954\) | 5.08750 | − | 15.6577i | 0.164714 | − | 0.506937i | ||||
\(955\) | 0.973312 | + | 4.15754i | 0.0314957 | + | 0.134535i | ||||
\(956\) | − | 10.0777i | − | 0.325935i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 27.5786 | + | 27.5786i | 0.891023 | + | 0.891023i | ||||
\(959\) | −22.6377 | − | 16.4472i | −0.731009 | − | 0.531109i | ||||
\(960\) | 1.41895 | − | 5.76654i | 0.0457964 | − | 0.186114i | ||||
\(961\) | −4.60979 | − | 14.1875i | −0.148703 | − | 0.457661i | ||||
\(962\) | −2.87093 | + | 18.1264i | −0.0925626 | + | 0.584417i | ||||
\(963\) | −2.44059 | + | 15.4092i | −0.0786468 | + | 0.496556i | ||||
\(964\) | 8.61359 | + | 26.5099i | 0.277425 | + | 0.853827i | ||||
\(965\) | 6.08170 | − | 24.7157i | 0.195777 | − | 0.795628i | ||||
\(966\) | 33.2777 | + | 24.1777i | 1.07069 | + | 0.777904i | ||||
\(967\) | −28.7882 | − | 28.7882i | −0.925767 | − | 0.925767i | 0.0716619 | − | 0.997429i | \(-0.477170\pi\) |
−0.997429 | + | 0.0716619i | \(0.977170\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | − | 8.80745i | − | 0.282936i | ||||||
\(970\) | −1.00543 | − | 4.29474i | −0.0322825 | − | 0.137896i | ||||
\(971\) | −9.07745 | + | 27.9375i | −0.291309 | + | 0.896557i | 0.693127 | + | 0.720815i | \(0.256232\pi\) |
−0.984436 | + | 0.175742i | \(0.943768\pi\) | |||||||
\(972\) | 40.1645 | + | 20.4648i | 1.28828 | + | 0.656410i | ||||
\(973\) | 2.54065 | + | 0.402399i | 0.0814494 | + | 0.0129003i | ||||
\(974\) | 12.1966 | − | 8.86137i | 0.390805 | − | 0.283937i | ||||
\(975\) | 20.2632 | − | 10.0377i | 0.648942 | − | 0.321463i | ||||
\(976\) | −59.7632 | − | 19.4182i | −1.91297 | − | 0.621562i | ||||
\(977\) | 23.1072 | − | 3.65982i | 0.739265 | − | 0.117088i | 0.224566 | − | 0.974459i | \(-0.427904\pi\) |
0.514699 | + | 0.857371i | \(0.327904\pi\) | |||||||
\(978\) | −3.85737 | + | 3.85737i | −0.123345 | + | 0.123345i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 27.9536 | + | 24.1493i | 0.892946 | + | 0.771420i | ||||
\(981\) | −10.7176 | + | 14.7515i | −0.342187 | + | 0.470980i | ||||
\(982\) | −47.1344 | − | 92.5065i | −1.50412 | − | 2.95200i | ||||
\(983\) | −9.46916 | + | 18.5843i | −0.302019 | + | 0.592746i | −0.991281 | − | 0.131767i | \(-0.957935\pi\) |
0.689262 | + | 0.724513i | \(0.257935\pi\) | |||||||
\(984\) | −9.45625 | − | 13.0154i | −0.301454 | − | 0.414916i | ||||
\(985\) | 28.1722 | + | 33.3655i | 0.897642 | + | 1.06311i | ||||
\(986\) | 23.8193 | − | 7.73937i | 0.758562 | − | 0.246472i | ||||
\(987\) | 24.9457 | − | 12.7105i | 0.794031 | − | 0.404579i | ||||
\(988\) | 2.04040 | + | 12.8826i | 0.0649138 | + | 0.409850i | ||||
\(989\) | 28.8277 | 0.916666 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.50787 | −0.206729 | −0.103365 | − | 0.994644i | \(-0.532961\pi\) | ||||
−0.103365 | + | 0.994644i | \(0.532961\pi\) | |||||||
\(992\) | 3.01251 | + | 19.0203i | 0.0956474 | + | 0.603894i | ||||
\(993\) | −26.2305 | + | 13.3651i | −0.832401 | + | 0.424130i | ||||
\(994\) | 29.5195 | − | 9.59146i | 0.936301 | − | 0.304223i | ||||
\(995\) | −4.20281 | + | 49.8009i | −0.133238 | + | 1.57879i | ||||
\(996\) | −54.6041 | − | 75.1561i | −1.73020 | − | 2.38141i | ||||
\(997\) | −11.9879 | + | 23.5276i | −0.379660 | + | 0.745126i | −0.999206 | − | 0.0398349i | \(-0.987317\pi\) |
0.619546 | + | 0.784960i | \(0.287317\pi\) | |||||||
\(998\) | 26.6881 | + | 52.3783i | 0.844797 | + | 1.65801i | ||||
\(999\) | −7.48905 | + | 10.3078i | −0.236943 | + | 0.326124i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))