Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(11,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([24, 15, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bl (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 155.45 | ||
Character | \(\chi\) | \(=\) | 576.155 |
Dual form | 576.2.bl.a.275.45 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{9}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.251868 | − | 1.39160i | −0.178097 | − | 0.984013i | ||||
\(3\) | −0.989597 | + | 1.42151i | −0.571344 | + | 0.820711i | ||||
\(4\) | −1.87313 | + | 0.701000i | −0.936563 | + | 0.350500i | ||||
\(5\) | −0.766869 | − | 2.25912i | −0.342954 | − | 1.01031i | −0.972411 | − | 0.233275i | \(-0.925056\pi\) |
0.629456 | − | 0.777036i | \(-0.283278\pi\) | |||||||
\(6\) | 2.22743 | + | 1.01909i | 0.909345 | + | 0.416043i | ||||
\(7\) | −2.30722 | + | 1.77039i | −0.872048 | + | 0.669146i | −0.944602 | − | 0.328219i | \(-0.893552\pi\) |
0.0725539 | + | 0.997364i | \(0.476885\pi\) | |||||||
\(8\) | 1.44729 | + | 2.43009i | 0.511696 | + | 0.859167i | ||||
\(9\) | −1.04140 | − | 2.81345i | −0.347132 | − | 0.937816i | ||||
\(10\) | −2.95066 | + | 1.63618i | −0.933080 | + | 0.517405i | ||||
\(11\) | 0.303338 | + | 4.62804i | 0.0914599 | + | 1.39541i | 0.759124 | + | 0.650946i | \(0.225627\pi\) |
−0.667665 | + | 0.744462i | \(0.732706\pi\) | |||||||
\(12\) | 0.857158 | − | 3.35638i | 0.247440 | − | 0.968903i | ||||
\(13\) | 3.82383 | − | 3.35341i | 1.06054 | − | 0.930067i | 0.0628501 | − | 0.998023i | \(-0.479981\pi\) |
0.997688 | + | 0.0679557i | \(0.0216477\pi\) | |||||||
\(14\) | 3.04480 | + | 2.76483i | 0.813758 | + | 0.738933i | ||||
\(15\) | 3.97026 | + | 1.14551i | 1.02512 | + | 0.295769i | ||||
\(16\) | 3.01720 | − | 2.62612i | 0.754299 | − | 0.656531i | ||||
\(17\) | −0.291199 | − | 0.291199i | −0.0706261 | − | 0.0706261i | 0.670911 | − | 0.741538i | \(-0.265903\pi\) |
−0.741538 | + | 0.670911i | \(0.765903\pi\) | |||||||
\(18\) | −3.65291 | + | 2.15783i | −0.861000 | + | 0.508605i | ||||
\(19\) | −1.13368 | − | 5.69939i | −0.260084 | − | 1.30753i | −0.861158 | − | 0.508337i | \(-0.830261\pi\) |
0.601075 | − | 0.799193i | \(-0.294739\pi\) | |||||||
\(20\) | 3.02009 | + | 3.69405i | 0.675312 | + | 0.826014i | ||||
\(21\) | −0.233418 | − | 5.03172i | −0.0509360 | − | 1.09801i | ||||
\(22\) | 6.36401 | − | 1.58778i | 1.35681 | − | 0.338516i | ||||
\(23\) | 6.64252 | + | 5.09699i | 1.38506 | + | 1.06280i | 0.989528 | + | 0.144344i | \(0.0461071\pi\) |
0.395534 | + | 0.918451i | \(0.370560\pi\) | |||||||
\(24\) | −4.88664 | − | 0.347461i | −0.997482 | − | 0.0709252i | ||||
\(25\) | −0.548784 | + | 0.421097i | −0.109757 | + | 0.0842194i | ||||
\(26\) | −5.62971 | − | 4.47664i | −1.10408 | − | 0.877941i | ||||
\(27\) | 5.02992 | + | 1.30382i | 0.968008 | + | 0.250920i | ||||
\(28\) | 3.08067 | − | 4.93353i | 0.582192 | − | 0.932350i | ||||
\(29\) | 2.62104 | + | 5.31494i | 0.486715 | + | 0.986960i | 0.992262 | + | 0.124161i | \(0.0396240\pi\) |
−0.505547 | + | 0.862799i | \(0.668709\pi\) | |||||||
\(30\) | 0.594111 | − | 5.81355i | 0.108469 | − | 1.06140i | ||||
\(31\) | −1.09637 | − | 1.89897i | −0.196914 | − | 0.341064i | 0.750613 | − | 0.660743i | \(-0.229758\pi\) |
−0.947526 | + | 0.319678i | \(0.896425\pi\) | |||||||
\(32\) | −4.41446 | − | 3.53731i | −0.780373 | − | 0.625314i | ||||
\(33\) | −6.87901 | − | 4.14870i | −1.19748 | − | 0.722196i | ||||
\(34\) | −0.331890 | + | 0.478577i | −0.0569187 | + | 0.0820753i | ||||
\(35\) | 5.76888 | + | 3.85464i | 0.975118 | + | 0.651553i | ||||
\(36\) | 3.92290 | + | 4.53992i | 0.653816 | + | 0.756654i | ||||
\(37\) | 7.87307 | + | 1.56605i | 1.29432 | + | 0.257457i | 0.793754 | − | 0.608239i | \(-0.208124\pi\) |
0.500570 | + | 0.865696i | \(0.333124\pi\) | |||||||
\(38\) | −7.64576 | + | 3.01312i | −1.24031 | + | 0.488793i | ||||
\(39\) | 0.982863 | + | 8.75414i | 0.157384 | + | 1.40178i | ||||
\(40\) | 4.37999 | − | 5.13318i | 0.692537 | − | 0.811627i | ||||
\(41\) | 5.26714 | − | 6.86427i | 0.822589 | − | 1.07202i | −0.173602 | − | 0.984816i | \(-0.555541\pi\) |
0.996191 | − | 0.0872027i | \(-0.0277928\pi\) | |||||||
\(42\) | −6.94337 | + | 1.59215i | −1.07139 | + | 0.245675i | ||||
\(43\) | −0.0412961 | − | 0.630056i | −0.00629759 | − | 0.0960826i | 0.993553 | − | 0.113369i | \(-0.0361641\pi\) |
−0.999851 | + | 0.0172860i | \(0.994497\pi\) | |||||||
\(44\) | −3.81245 | − | 8.45627i | −0.574749 | − | 1.27483i | ||||
\(45\) | −5.55731 | + | 4.51019i | −0.828435 | + | 0.672340i | ||||
\(46\) | 5.41995 | − | 10.5275i | 0.799128 | − | 1.55220i | ||||
\(47\) | −3.30442 | − | 12.3323i | −0.482000 | − | 1.79885i | −0.593207 | − | 0.805050i | \(-0.702139\pi\) |
0.111208 | − | 0.993797i | \(-0.464528\pi\) | |||||||
\(48\) | 0.747259 | + | 6.88779i | 0.107858 | + | 0.994166i | ||||
\(49\) | 0.377246 | − | 1.40790i | 0.0538923 | − | 0.201129i | ||||
\(50\) | 0.724222 | + | 0.657630i | 0.102420 | + | 0.0930029i | ||||
\(51\) | 0.702113 | − | 0.125774i | 0.0983154 | − | 0.0176118i | ||||
\(52\) | −4.81177 | + | 8.96185i | −0.667272 | + | 1.24279i | ||||
\(53\) | 5.24476 | + | 7.84934i | 0.720424 | + | 1.07819i | 0.993235 | + | 0.116123i | \(0.0370466\pi\) |
−0.272811 | + | 0.962068i | \(0.587953\pi\) | |||||||
\(54\) | 0.547529 | − | 7.32804i | 0.0745092 | − | 0.997220i | ||||
\(55\) | 10.2227 | − | 4.23438i | 1.37843 | − | 0.570964i | ||||
\(56\) | −7.64145 | − | 3.04448i | −1.02113 | − | 0.406835i | ||||
\(57\) | 9.22364 | + | 4.02856i | 1.22170 | + | 0.533595i | ||||
\(58\) | 6.73614 | − | 4.98611i | 0.884499 | − | 0.654709i | ||||
\(59\) | 6.43497 | − | 2.18438i | 0.837761 | − | 0.284382i | 0.130601 | − | 0.991435i | \(-0.458309\pi\) |
0.707160 | + | 0.707053i | \(0.249976\pi\) | |||||||
\(60\) | −8.23980 | + | 0.637478i | −1.06375 | + | 0.0822981i | ||||
\(61\) | 3.80143 | + | 7.70854i | 0.486723 | + | 0.986977i | 0.992261 | + | 0.124172i | \(0.0396276\pi\) |
−0.505537 | + | 0.862805i | \(0.668706\pi\) | |||||||
\(62\) | −2.36647 | + | 2.00400i | −0.300542 | + | 0.254508i | ||||
\(63\) | 7.38364 | + | 4.64757i | 0.930252 | + | 0.585538i | ||||
\(64\) | −3.81068 | + | 7.03411i | −0.476334 | + | 0.879264i | ||||
\(65\) | −10.5081 | − | 6.06687i | −1.30337 | − | 0.752503i | ||||
\(66\) | −4.04075 | + | 10.6178i | −0.497382 | + | 1.30696i | ||||
\(67\) | 0.630049 | − | 9.61269i | 0.0769728 | − | 1.17438i | −0.768317 | − | 0.640069i | \(-0.778906\pi\) |
0.845290 | − | 0.534308i | \(-0.179428\pi\) | |||||||
\(68\) | 0.749583 | + | 0.341322i | 0.0909003 | + | 0.0413913i | ||||
\(69\) | −13.8188 | + | 4.39847i | −1.66359 | + | 0.529513i | ||||
\(70\) | 3.91114 | − | 8.99885i | 0.467471 | − | 1.07557i | ||||
\(71\) | −1.92635 | + | 4.65062i | −0.228615 | + | 0.551926i | −0.996009 | − | 0.0892495i | \(-0.971553\pi\) |
0.767394 | + | 0.641176i | \(0.221553\pi\) | |||||||
\(72\) | 5.32972 | − | 6.60258i | 0.628114 | − | 0.778121i | ||||
\(73\) | −2.14885 | − | 5.18777i | −0.251503 | − | 0.607183i | 0.746822 | − | 0.665024i | \(-0.231579\pi\) |
−0.998326 | + | 0.0578405i | \(0.981579\pi\) | |||||||
\(74\) | 0.196351 | − | 11.3506i | 0.0228254 | − | 1.31948i | ||||
\(75\) | −0.0555197 | − | 1.19682i | −0.00641086 | − | 0.138197i | ||||
\(76\) | 6.11880 | + | 9.88096i | 0.701874 | + | 1.13342i | ||||
\(77\) | −8.89333 | − | 10.1409i | −1.01349 | − | 1.15566i | ||||
\(78\) | 11.9347 | − | 3.57264i | 1.35134 | − | 0.404522i | ||||
\(79\) | 1.77019 | + | 6.60645i | 0.199162 | + | 0.743283i | 0.991150 | + | 0.132746i | \(0.0423796\pi\) |
−0.791988 | + | 0.610537i | \(0.790954\pi\) | |||||||
\(80\) | −8.24653 | − | 4.80233i | −0.921990 | − | 0.536917i | ||||
\(81\) | −6.83098 | + | 5.85983i | −0.758998 | + | 0.651093i | ||||
\(82\) | −10.8790 | − | 5.60089i | −1.20138 | − | 0.618514i | ||||
\(83\) | −3.58617 | + | 10.5645i | −0.393634 | + | 1.15961i | 0.551852 | + | 0.833942i | \(0.313921\pi\) |
−0.945485 | + | 0.325665i | \(0.894412\pi\) | |||||||
\(84\) | 3.96446 | + | 9.26142i | 0.432558 | + | 1.01050i | ||||
\(85\) | −0.434543 | + | 0.881166i | −0.0471328 | + | 0.0955759i | ||||
\(86\) | −0.866388 | + | 0.216159i | −0.0934250 | + | 0.0233090i | ||||
\(87\) | −10.1490 | − | 1.53381i | −1.08809 | − | 0.164442i | ||||
\(88\) | −10.8075 | + | 7.43528i | −1.15209 | + | 0.792604i | ||||
\(89\) | −3.09356 | + | 7.46852i | −0.327917 | + | 0.791661i | 0.670830 | + | 0.741611i | \(0.265938\pi\) |
−0.998747 | + | 0.0500500i | \(0.984062\pi\) | |||||||
\(90\) | 7.67611 | + | 6.59761i | 0.809133 | + | 0.695449i | ||||
\(91\) | −2.88557 | + | 14.5067i | −0.302490 | + | 1.52072i | ||||
\(92\) | −16.0153 | − | 4.89088i | −1.66971 | − | 0.509910i | ||||
\(93\) | 3.78437 | + | 0.320708i | 0.392420 | + | 0.0332559i | ||||
\(94\) | −16.3294 | + | 7.70455i | −1.68425 | + | 0.794664i | ||||
\(95\) | −12.0062 | + | 6.93181i | −1.23181 | + | 0.711188i | ||||
\(96\) | 9.39686 | − | 2.77470i | 0.959063 | − | 0.283192i | ||||
\(97\) | −12.4101 | − | 7.16499i | −1.26006 | − | 0.727495i | −0.286972 | − | 0.957939i | \(-0.592649\pi\) |
−0.973085 | + | 0.230444i | \(0.925982\pi\) | |||||||
\(98\) | −2.05426 | − | 0.170372i | −0.207511 | − | 0.0172102i | ||||
\(99\) | 12.7049 | − | 5.67306i | 1.27689 | − | 0.570164i | ||||
\(100\) | 0.732753 | − | 1.17347i | 0.0732753 | − | 0.117347i | ||||
\(101\) | 8.46411 | + | 7.42283i | 0.842211 | + | 0.738599i | 0.967324 | − | 0.253544i | \(-0.0815961\pi\) |
−0.125113 | + | 0.992142i | \(0.539929\pi\) | |||||||
\(102\) | −0.351866 | − | 0.945385i | −0.0348400 | − | 0.0936070i | ||||
\(103\) | −3.29009 | + | 0.433149i | −0.324182 | + | 0.0426794i | −0.290861 | − | 0.956765i | \(-0.593942\pi\) |
−0.0333212 | + | 0.999445i | \(0.510608\pi\) | |||||||
\(104\) | 13.6833 | + | 4.43887i | 1.34176 | + | 0.435267i | ||||
\(105\) | −11.1883 | + | 4.38599i | −1.09186 | + | 0.428029i | ||||
\(106\) | 9.60220 | − | 9.27563i | 0.932648 | − | 0.900929i | ||||
\(107\) | −0.271524 | − | 0.406365i | −0.0262493 | − | 0.0392848i | 0.818113 | − | 0.575058i | \(-0.195020\pi\) |
−0.844362 | + | 0.535773i | \(0.820020\pi\) | |||||||
\(108\) | −10.3356 | + | 1.08375i | −0.994548 | + | 0.104284i | ||||
\(109\) | 13.4513 | − | 2.67563i | 1.28840 | − | 0.256279i | 0.497093 | − | 0.867697i | \(-0.334401\pi\) |
0.791308 | + | 0.611418i | \(0.209401\pi\) | |||||||
\(110\) | −8.46735 | − | 13.1595i | −0.807331 | − | 1.25470i | ||||
\(111\) | −10.0173 | + | 9.64191i | −0.950802 | + | 0.915169i | ||||
\(112\) | −2.31207 | + | 11.4007i | −0.218470 | + | 1.07726i | ||||
\(113\) | 1.50383 | + | 0.402951i | 0.141469 | + | 0.0379064i | 0.328859 | − | 0.944379i | \(-0.393336\pi\) |
−0.187390 | + | 0.982286i | \(0.560003\pi\) | |||||||
\(114\) | 3.28302 | − | 13.8503i | 0.307483 | − | 1.29720i | ||||
\(115\) | 6.42078 | − | 18.9150i | 0.598741 | − | 1.76383i | ||||
\(116\) | −8.63531 | − | 8.11821i | −0.801769 | − | 0.753756i | ||||
\(117\) | −13.4168 | − | 7.26591i | −1.24038 | − | 0.671734i | ||||
\(118\) | −4.66055 | − | 8.40475i | −0.429038 | − | 0.773720i | ||||
\(119\) | 1.18740 | + | 0.156324i | 0.108849 | + | 0.0143302i | ||||
\(120\) | 2.96246 | + | 11.3060i | 0.270434 | + | 1.03209i | ||||
\(121\) | −10.4209 | + | 1.37194i | −0.947353 | + | 0.124721i | ||||
\(122\) | 9.76978 | − | 7.23162i | 0.884514 | − | 0.654720i | ||||
\(123\) | 4.54530 | + | 14.2802i | 0.409836 | + | 1.28760i | ||||
\(124\) | 3.38481 | + | 2.78845i | 0.303965 | + | 0.250410i | ||||
\(125\) | −8.54617 | − | 5.71037i | −0.764393 | − | 0.510751i | ||||
\(126\) | 4.60787 | − | 11.4457i | 0.410502 | − | 1.01966i | ||||
\(127\) | − | 12.4458i | − | 1.10439i | −0.833716 | − | 0.552193i | \(-0.813791\pi\) | ||
0.833716 | − | 0.552193i | \(-0.186209\pi\) | |||||||
\(128\) | 10.7485 | + | 3.53129i | 0.950041 | + | 0.312125i | ||||
\(129\) | 0.936499 | + | 0.564798i | 0.0824541 | + | 0.0497277i | ||||
\(130\) | −5.79603 | + | 16.1512i | −0.508345 | + | 1.41655i | ||||
\(131\) | 15.6952 | + | 1.02872i | 1.37130 | + | 0.0898796i | 0.733167 | − | 0.680049i | \(-0.238041\pi\) |
0.638130 | + | 0.769928i | \(0.279708\pi\) | |||||||
\(132\) | 15.7935 | + | 2.94885i | 1.37465 | + | 0.256664i | ||||
\(133\) | 12.7058 | + | 11.1427i | 1.10173 | + | 0.966194i | ||||
\(134\) | −13.5358 | + | 1.54435i | −1.16931 | + | 0.133411i | ||||
\(135\) | −0.911796 | − | 12.3631i | −0.0784749 | − | 1.06404i | ||||
\(136\) | 0.286189 | − | 1.12909i | 0.0245405 | − | 0.0968187i | ||||
\(137\) | −1.03804 | + | 7.88467i | −0.0886854 | + | 0.673632i | 0.888137 | + | 0.459579i | \(0.152000\pi\) |
−0.976822 | + | 0.214053i | \(0.931333\pi\) | |||||||
\(138\) | 9.60145 | + | 18.1225i | 0.817330 | + | 1.54269i | ||||
\(139\) | −2.30195 | + | 4.66790i | −0.195249 | + | 0.395926i | −0.972377 | − | 0.233417i | \(-0.925009\pi\) |
0.777128 | + | 0.629343i | \(0.216676\pi\) | |||||||
\(140\) | −13.5079 | − | 3.17624i | −1.14163 | − | 0.268441i | ||||
\(141\) | 20.8005 | + | 7.50670i | 1.75172 | + | 0.632178i | ||||
\(142\) | 6.95700 | + | 1.50937i | 0.583819 | + | 0.126664i | ||||
\(143\) | 16.6796 | + | 16.6796i | 1.39482 | + | 1.39482i | ||||
\(144\) | −10.5306 | − | 5.75389i | −0.877547 | − | 0.479491i | ||||
\(145\) | 9.99712 | − | 9.99712i | 0.830216 | − | 0.830216i | ||||
\(146\) | −6.67810 | + | 4.29698i | −0.552684 | + | 0.355620i | ||||
\(147\) | 1.62803 | + | 1.92951i | 0.134277 | + | 0.159144i | ||||
\(148\) | −15.8450 | + | 2.58561i | −1.30245 | + | 0.212536i | ||||
\(149\) | 1.75502 | + | 0.865482i | 0.143777 | + | 0.0709031i | 0.512754 | − | 0.858535i | \(-0.328625\pi\) |
−0.368977 | + | 0.929439i | \(0.620292\pi\) | |||||||
\(150\) | −1.65152 | + | 0.378702i | −0.134846 | + | 0.0309209i | ||||
\(151\) | 8.47711 | + | 1.11603i | 0.689858 | + | 0.0908215i | 0.467301 | − | 0.884098i | \(-0.345226\pi\) |
0.222557 | + | 0.974920i | \(0.428560\pi\) | |||||||
\(152\) | 12.2093 | − | 11.0036i | 0.990302 | − | 0.892513i | ||||
\(153\) | −0.516020 | + | 1.12253i | −0.0417177 | + | 0.0907509i | ||||
\(154\) | −11.8722 | + | 14.9302i | −0.956687 | + | 1.20311i | ||||
\(155\) | −3.44923 | + | 3.93309i | −0.277049 | + | 0.315913i | ||||
\(156\) | −7.97768 | − | 15.7086i | −0.638725 | − | 1.25770i | ||||
\(157\) | 0.521356 | − | 7.95435i | 0.0416087 | − | 0.634826i | −0.925225 | − | 0.379419i | \(-0.876124\pi\) |
0.966834 | − | 0.255407i | \(-0.0822095\pi\) | |||||||
\(158\) | 8.74770 | − | 4.12736i | 0.695930 | − | 0.328355i | ||||
\(159\) | −16.3481 | − | 0.312186i | −1.29649 | − | 0.0247579i | ||||
\(160\) | −4.60591 | + | 12.6855i | −0.364129 | + | 1.00287i | ||||
\(161\) | −24.3494 | −1.91900 | ||||||||
\(162\) | 9.87507 | + | 8.03013i | 0.775859 | + | 0.630906i | ||||
\(163\) | 1.21771 | − | 1.82243i | 0.0953784 | − | 0.142744i | −0.780712 | − | 0.624892i | \(-0.785143\pi\) |
0.876090 | + | 0.482148i | \(0.160143\pi\) | |||||||
\(164\) | −5.05416 | + | 16.5499i | −0.394663 | + | 1.29233i | ||||
\(165\) | −4.09712 | + | 18.7220i | −0.318961 | + | 1.45751i | ||||
\(166\) | 15.6049 | + | 2.32967i | 1.21117 | + | 0.180818i | ||||
\(167\) | −0.532318 | − | 4.04336i | −0.0411920 | − | 0.312884i | −0.999620 | − | 0.0275512i | \(-0.991229\pi\) |
0.958428 | − | 0.285333i | \(-0.0921043\pi\) | |||||||
\(168\) | 11.8897 | − | 7.84961i | 0.917311 | − | 0.605611i | ||||
\(169\) | 1.67948 | − | 12.7569i | 0.129191 | − | 0.981299i | ||||
\(170\) | 1.33568 | + | 0.382775i | 0.102442 | + | 0.0293575i | ||||
\(171\) | −14.8543 | + | 9.12487i | −1.13594 | + | 0.697796i | ||||
\(172\) | 0.519022 | + | 1.15123i | 0.0395751 | + | 0.0877801i | ||||
\(173\) | −4.06402 | − | 1.37955i | −0.308982 | − | 0.104885i | 0.162642 | − | 0.986685i | \(-0.447999\pi\) |
−0.471624 | + | 0.881800i | \(0.656332\pi\) | |||||||
\(174\) | 0.421759 | + | 14.5098i | 0.0319734 | + | 1.09998i | ||||
\(175\) | 0.520660 | − | 1.94313i | 0.0393582 | − | 0.146887i | ||||
\(176\) | 13.0690 | + | 13.1671i | 0.985116 | + | 0.992509i | ||||
\(177\) | −3.26290 | + | 11.3090i | −0.245255 | + | 0.850039i | ||||
\(178\) | 11.1724 | + | 2.42394i | 0.837406 | + | 0.181682i | ||||
\(179\) | −0.293958 | − | 1.47783i | −0.0219715 | − | 0.110458i | 0.968243 | − | 0.250010i | \(-0.0804339\pi\) |
−0.990215 | + | 0.139552i | \(0.955434\pi\) | |||||||
\(180\) | 7.24790 | − | 12.3438i | 0.540226 | − | 0.920055i | ||||
\(181\) | 0.102733 | − | 0.0686443i | 0.00763612 | − | 0.00510229i | −0.551746 | − | 0.834012i | \(-0.686038\pi\) |
0.559382 | + | 0.828910i | \(0.311038\pi\) | |||||||
\(182\) | 20.9144 | + | 0.361792i | 1.55028 | + | 0.0268178i | ||||
\(183\) | −14.7197 | − | 2.22456i | −1.08811 | − | 0.164444i | ||||
\(184\) | −2.77245 | + | 23.5188i | −0.204388 | + | 1.73383i | ||||
\(185\) | −2.49971 | − | 18.9872i | −0.183782 | − | 1.39597i | ||||
\(186\) | −0.506860 | − | 5.34712i | −0.0371648 | − | 0.392070i | ||||
\(187\) | 1.25935 | − | 1.43601i | 0.0920928 | − | 0.105012i | ||||
\(188\) | 14.8345 | + | 20.7835i | 1.08192 | + | 1.51579i | ||||
\(189\) | −13.9134 | + | 5.89673i | −1.01205 | + | 0.428924i | ||||
\(190\) | 12.6703 | + | 14.9620i | 0.919201 | + | 1.08546i | ||||
\(191\) | 0.492101 | − | 0.852344i | 0.0356072 | − | 0.0616735i | −0.847673 | − | 0.530520i | \(-0.821997\pi\) |
0.883280 | + | 0.468846i | \(0.155330\pi\) | |||||||
\(192\) | −6.22805 | − | 12.3779i | −0.449471 | − | 0.893295i | ||||
\(193\) | −2.86907 | − | 4.96937i | −0.206520 | − | 0.357703i | 0.744096 | − | 0.668073i | \(-0.232881\pi\) |
−0.950616 | + | 0.310369i | \(0.899547\pi\) | |||||||
\(194\) | −6.84512 | + | 19.0746i | −0.491451 | + | 1.36948i | ||||
\(195\) | 19.0229 | − | 8.93369i | 1.36226 | − | 0.639755i | ||||
\(196\) | 0.280310 | + | 2.90162i | 0.0200221 | + | 0.207259i | ||||
\(197\) | 2.71079 | + | 0.539210i | 0.193136 | + | 0.0384171i | 0.290710 | − | 0.956811i | \(-0.406108\pi\) |
−0.0975745 | + | 0.995228i | \(0.531108\pi\) | |||||||
\(198\) | −11.0946 | − | 16.2513i | −0.788459 | − | 1.15493i | ||||
\(199\) | 10.2768 | + | 4.25681i | 0.728506 | + | 0.301757i | 0.715938 | − | 0.698164i | \(-0.245999\pi\) |
0.0125681 | + | 0.999921i | \(0.495999\pi\) | |||||||
\(200\) | −1.81756 | − | 0.724144i | −0.128521 | − | 0.0512047i | ||||
\(201\) | 13.0411 | + | 10.4083i | 0.919846 | + | 0.734146i | ||||
\(202\) | 8.19780 | − | 13.6483i | 0.576795 | − | 0.960289i | ||||
\(203\) | −15.4569 | − | 7.62248i | −1.08486 | − | 0.534993i | ||||
\(204\) | −1.22698 | + | 0.727771i | −0.0859056 | + | 0.0509541i | ||||
\(205\) | −19.5464 | − | 6.63512i | −1.36518 | − | 0.463417i | ||||
\(206\) | 1.43144 | + | 4.46941i | 0.0997331 | + | 0.311399i | ||||
\(207\) | 7.42261 | − | 23.9964i | 0.515907 | − | 1.66786i | ||||
\(208\) | 2.73078 | − | 20.1597i | 0.189346 | − | 1.39783i | ||||
\(209\) | 26.0331 | − | 6.97556i | 1.80075 | − | 0.482509i | ||||
\(210\) | 8.92153 | + | 14.4650i | 0.615644 | + | 0.998178i | ||||
\(211\) | 3.65264 | − | 3.20328i | 0.251458 | − | 0.220523i | −0.524332 | − | 0.851514i | \(-0.675685\pi\) |
0.775790 | + | 0.630991i | \(0.217352\pi\) | |||||||
\(212\) | −15.3265 | − | 11.0262i | −1.05263 | − | 0.757284i | ||||
\(213\) | −4.70460 | − | 7.34056i | −0.322354 | − | 0.502967i | ||||
\(214\) | −0.497111 | + | 0.480205i | −0.0339818 | + | 0.0328261i | ||||
\(215\) | −1.39171 | + | 0.576463i | −0.0949135 | + | 0.0393145i | ||||
\(216\) | 4.11137 | + | 14.1102i | 0.279743 | + | 0.960075i | ||||
\(217\) | 5.89148 | + | 2.44033i | 0.399940 | + | 0.165660i | ||||
\(218\) | −7.11137 | − | 18.0450i | −0.481643 | − | 1.22216i | ||||
\(219\) | 9.50098 | + | 2.07919i | 0.642017 | + | 0.140499i | ||||
\(220\) | −16.1801 | + | 15.0976i | −1.09086 | + | 1.01788i | ||||
\(221\) | −2.09000 | − | 0.136986i | −0.140589 | − | 0.00921468i | ||||
\(222\) | 15.9408 | + | 11.5117i | 1.06987 | + | 0.772612i | ||||
\(223\) | 9.46953 | − | 16.4017i | 0.634126 | − | 1.09834i | −0.352573 | − | 0.935784i | \(-0.614693\pi\) |
0.986700 | − | 0.162555i | \(-0.0519734\pi\) | |||||||
\(224\) | 16.4476 | + | 0.346028i | 1.09895 | + | 0.0231199i | ||||
\(225\) | 1.75624 | + | 1.10545i | 0.117082 | + | 0.0736965i | ||||
\(226\) | 0.181981 | − | 2.19423i | 0.0121052 | − | 0.145958i | ||||
\(227\) | 5.00982 | − | 2.47057i | 0.332513 | − | 0.163977i | −0.268366 | − | 0.963317i | \(-0.586484\pi\) |
0.600880 | + | 0.799340i | \(0.294817\pi\) | |||||||
\(228\) | −20.1011 | − | 1.08022i | −1.33122 | − | 0.0715392i | ||||
\(229\) | 3.26261 | + | 9.61135i | 0.215600 | + | 0.635136i | 0.999891 | + | 0.0147438i | \(0.00469326\pi\) |
−0.784292 | + | 0.620392i | \(0.786973\pi\) | |||||||
\(230\) | −27.9394 | − | 4.17110i | −1.84227 | − | 0.275034i | ||||
\(231\) | 23.2162 | − | 2.60658i | 1.52752 | − | 0.171500i | ||||
\(232\) | −9.12237 | + | 14.0617i | −0.598913 | + | 0.923193i | ||||
\(233\) | −2.49185 | − | 6.01586i | −0.163246 | − | 0.394112i | 0.820996 | − | 0.570933i | \(-0.193418\pi\) |
−0.984243 | + | 0.176821i | \(0.943418\pi\) | |||||||
\(234\) | −6.73203 | + | 20.5009i | −0.440086 | + | 1.34018i | ||||
\(235\) | −25.3261 | + | 16.9223i | −1.65209 | + | 1.10389i | ||||
\(236\) | −10.5223 | + | 8.60253i | −0.684940 | + | 0.559977i | ||||
\(237\) | −11.1429 | − | 4.02137i | −0.723811 | − | 0.261216i | ||||
\(238\) | −0.0815261 | − | 1.69176i | −0.00528455 | − | 0.109661i | ||||
\(239\) | −18.0054 | − | 4.82455i | −1.16468 | − | 0.312074i | −0.375844 | − | 0.926683i | \(-0.622647\pi\) |
−0.788832 | + | 0.614609i | \(0.789314\pi\) | |||||||
\(240\) | 14.9873 | − | 6.97018i | 0.967427 | − | 0.449923i | ||||
\(241\) | −11.4111 | + | 3.05759i | −0.735052 | + | 0.196957i | −0.606878 | − | 0.794795i | \(-0.707578\pi\) |
−0.128174 | + | 0.991752i | \(0.540912\pi\) | |||||||
\(242\) | 4.53388 | + | 14.1562i | 0.291449 | + | 0.909995i | ||||
\(243\) | −1.56991 | − | 15.5092i | −0.100710 | − | 0.994916i | ||||
\(244\) | −12.5242 | − | 11.7743i | −0.801783 | − | 0.753769i | ||||
\(245\) | −3.46992 | + | 0.227431i | −0.221685 | + | 0.0145300i | ||||
\(246\) | 18.7275 | − | 9.92197i | 1.19402 | − | 0.632602i | ||||
\(247\) | −23.4474 | − | 17.9918i | −1.49192 | − | 1.14479i | ||||
\(248\) | 3.02789 | − | 5.41264i | 0.192271 | − | 0.343703i | ||||
\(249\) | −11.4687 | − | 15.5524i | −0.726802 | − | 0.985594i | ||||
\(250\) | −5.79407 | + | 13.3311i | −0.366449 | + | 0.843136i | ||||
\(251\) | 3.75900 | − | 18.8978i | 0.237266 | − | 1.19282i | −0.659979 | − | 0.751284i | \(-0.729435\pi\) |
0.897245 | − | 0.441533i | \(-0.145565\pi\) | |||||||
\(252\) | −17.0884 | − | 3.52954i | −1.07647 | − | 0.222340i | ||||
\(253\) | −21.5741 | + | 32.2880i | −1.35636 | + | 2.02993i | ||||
\(254\) | −17.3196 | + | 3.13470i | −1.08673 | + | 0.196688i | ||||
\(255\) | −0.822566 | − | 1.48971i | −0.0515111 | − | 0.0932891i | ||||
\(256\) | 2.20696 | − | 15.8471i | 0.137935 | − | 0.990441i | ||||
\(257\) | 24.5602 | − | 14.1799i | 1.53202 | − | 0.884515i | 0.532757 | − | 0.846269i | \(-0.321156\pi\) |
0.999268 | − | 0.0382465i | \(-0.0121772\pi\) | |||||||
\(258\) | 0.550102 | − | 1.44549i | 0.0342479 | − | 0.0899923i | ||||
\(259\) | −20.9374 | + | 10.3252i | −1.30099 | + | 0.641577i | ||||
\(260\) | 23.9359 | + | 3.99781i | 1.48444 | + | 0.247934i | ||||
\(261\) | 12.2238 | − | 12.9091i | 0.756633 | − | 0.799055i | ||||
\(262\) | −2.52155 | − | 22.1006i | −0.155782 | − | 1.36538i | ||||
\(263\) | 6.45886 | + | 8.41735i | 0.398270 | + | 0.519036i | 0.948842 | − | 0.315752i | \(-0.102257\pi\) |
−0.550571 | + | 0.834788i | \(0.685590\pi\) | |||||||
\(264\) | 0.125760 | − | 22.7210i | 0.00774000 | − | 1.39838i | ||||
\(265\) | 13.7106 | − | 17.8680i | 0.842235 | − | 1.09762i | ||||
\(266\) | 12.3060 | − | 20.4879i | 0.754532 | − | 1.25620i | ||||
\(267\) | −7.55522 | − | 11.7884i | −0.462372 | − | 0.721436i | ||||
\(268\) | 5.55834 | + | 18.4474i | 0.339530 | + | 1.12686i | ||||
\(269\) | 2.93284 | − | 0.583379i | 0.178819 | − | 0.0355692i | −0.104869 | − | 0.994486i | \(-0.533442\pi\) |
0.283687 | + | 0.958917i | \(0.408442\pi\) | |||||||
\(270\) | −16.9748 | + | 4.38271i | −1.03306 | + | 0.266724i | ||||
\(271\) | −5.44701 | + | 5.44701i | −0.330882 | + | 0.330882i | −0.852922 | − | 0.522039i | \(-0.825171\pi\) |
0.522039 | + | 0.852922i | \(0.325171\pi\) | |||||||
\(272\) | −1.64333 | − | 0.113880i | −0.0996415 | − | 0.00690501i | ||||
\(273\) | −17.7659 | − | 18.4577i | −1.07524 | − | 1.11711i | ||||
\(274\) | 11.2338 | − | 0.541357i | 0.678658 | − | 0.0327046i | ||||
\(275\) | −2.11532 | − | 2.41206i | −0.127559 | − | 0.145453i | ||||
\(276\) | 22.8011 | − | 17.9259i | 1.37247 | − | 1.07901i | ||||
\(277\) | 17.2369 | − | 1.12977i | 1.03566 | − | 0.0678810i | 0.461925 | − | 0.886919i | \(-0.347159\pi\) |
0.573739 | + | 0.819038i | \(0.305492\pi\) | |||||||
\(278\) | 7.07566 | + | 2.02772i | 0.424370 | + | 0.121614i | ||||
\(279\) | −4.20089 | + | 5.06215i | −0.251501 | + | 0.303063i | ||||
\(280\) | −1.01786 | + | 19.5977i | −0.0608286 | + | 1.17119i | ||||
\(281\) | −14.0954 | − | 18.3694i | −0.840859 | − | 1.09583i | −0.994188 | − | 0.107654i | \(-0.965666\pi\) |
0.153329 | − | 0.988175i | \(-0.451001\pi\) | |||||||
\(282\) | 5.20737 | − | 30.8368i | 0.310094 | − | 1.83630i | ||||
\(283\) | −19.8099 | + | 6.72457i | −1.17758 | + | 0.399734i | −0.840536 | − | 0.541755i | \(-0.817760\pi\) |
−0.337043 | + | 0.941489i | \(0.609427\pi\) | |||||||
\(284\) | 0.348208 | − | 10.0616i | 0.0206624 | − | 0.597044i | ||||
\(285\) | 2.02768 | − | 23.9267i | 0.120110 | − | 1.41730i | ||||
\(286\) | 19.0104 | − | 27.4125i | 1.12411 | − | 1.62093i | ||||
\(287\) | 25.1623i | 1.48528i | ||||||||
\(288\) | −5.35483 | + | 16.1036i | −0.315537 | + | 0.948913i | ||||
\(289\) | − | 16.8304i | − | 0.990024i | ||||||
\(290\) | −16.4300 | − | 11.3941i | −0.964802 | − | 0.669084i | ||||
\(291\) | 22.4661 | − | 10.5507i | 1.31699 | − | 0.618493i | ||||
\(292\) | 7.66169 | + | 8.21101i | 0.448367 | + | 0.480513i | ||||
\(293\) | 8.74303 | − | 2.96786i | 0.510774 | − | 0.173384i | −0.0541416 | − | 0.998533i | \(-0.517242\pi\) |
0.564915 | + | 0.825149i | \(0.308909\pi\) | |||||||
\(294\) | 2.27507 | − | 2.75155i | 0.132685 | − | 0.160474i | ||||
\(295\) | −9.86955 | − | 12.8623i | −0.574628 | − | 0.748869i | ||||
\(296\) | 7.58901 | + | 21.3988i | 0.441102 | + | 1.24378i | ||||
\(297\) | −4.50837 | + | 23.6742i | −0.261602 | + | 1.37371i | ||||
\(298\) | 0.762375 | − | 2.66029i | 0.0441632 | − | 0.154106i | ||||
\(299\) | 42.4921 | − | 2.78508i | 2.45738 | − | 0.161065i | ||||
\(300\) | 0.942967 | + | 2.20288i | 0.0544422 | + | 0.127183i | ||||
\(301\) | 1.21073 | + | 1.38057i | 0.0697851 | + | 0.0795747i | ||||
\(302\) | −0.582034 | − | 12.0779i | −0.0334923 | − | 0.695004i | ||||
\(303\) | −18.9277 | + | 4.68624i | −1.08737 | + | 0.269217i | ||||
\(304\) | −18.3878 | − | 14.2190i | −1.05461 | − | 0.815515i | ||||
\(305\) | 14.4993 | − | 14.4993i | 0.830230 | − | 0.830230i | ||||
\(306\) | 1.69208 | + | 0.435367i | 0.0967299 | + | 0.0248883i | ||||
\(307\) | 4.04751 | − | 0.805100i | 0.231004 | − | 0.0459495i | −0.0782309 | − | 0.996935i | \(-0.524927\pi\) |
0.309235 | + | 0.950986i | \(0.399927\pi\) | |||||||
\(308\) | 23.7671 | + | 12.7609i | 1.35426 | + | 0.727122i | ||||
\(309\) | 2.64014 | − | 5.10555i | 0.150192 | − | 0.290445i | ||||
\(310\) | 6.34205 | + | 3.80934i | 0.360204 | + | 0.216356i | ||||
\(311\) | −19.5966 | + | 25.5388i | −1.11122 | + | 1.44818i | −0.231410 | + | 0.972856i | \(0.574334\pi\) |
−0.879813 | + | 0.475319i | \(0.842333\pi\) | |||||||
\(312\) | −19.8508 | + | 15.0583i | −1.12383 | + | 0.852506i | ||||
\(313\) | 7.92076 | + | 10.3225i | 0.447708 | + | 0.583464i | 0.961622 | − | 0.274378i | \(-0.0884718\pi\) |
−0.513914 | + | 0.857841i | \(0.671805\pi\) | |||||||
\(314\) | −11.2006 | + | 1.27792i | −0.632088 | + | 0.0721174i | ||||
\(315\) | 4.83714 | − | 20.2446i | 0.272542 | − | 1.14066i | ||||
\(316\) | −7.94691 | − | 11.1338i | −0.447049 | − | 0.626325i | ||||
\(317\) | −11.2991 | + | 5.57210i | −0.634620 | + | 0.312960i | −0.730993 | − | 0.682385i | \(-0.760943\pi\) |
0.0963724 | + | 0.995345i | \(0.469276\pi\) | |||||||
\(318\) | 3.68313 | + | 22.8288i | 0.206540 | + | 1.28017i | ||||
\(319\) | −23.8027 | + | 13.7425i | −1.33270 | + | 0.769433i | ||||
\(320\) | 18.8132 | + | 3.21454i | 1.05169 | + | 0.179698i | ||||
\(321\) | 0.846353 | + | 0.0161620i | 0.0472388 | + | 0.000902077i | ||||
\(322\) | 6.13284 | + | 33.8848i | 0.341770 | + | 1.88833i | ||||
\(323\) | −1.32953 | + | 1.98978i | −0.0739770 | + | 0.110714i | ||||
\(324\) | 8.68755 | − | 15.7647i | 0.482641 | − | 0.875818i | ||||
\(325\) | −0.686347 | + | 3.45050i | −0.0380717 | + | 0.191399i | ||||
\(326\) | −2.84281 | − | 1.23556i | −0.157448 | − | 0.0684313i | ||||
\(327\) | −9.50792 | + | 21.7690i | −0.525789 | + | 1.20383i | ||||
\(328\) | 24.3039 | + | 2.86500i | 1.34196 | + | 0.158193i | ||||
\(329\) | 29.4570 | + | 22.6032i | 1.62402 | + | 1.24615i | ||||
\(330\) | 27.0856 | + | 0.986101i | 1.49101 | + | 0.0542831i | ||||
\(331\) | 23.5259 | − | 1.54197i | 1.29310 | − | 0.0847544i | 0.596734 | − | 0.802439i | \(-0.296465\pi\) |
0.696368 | + | 0.717685i | \(0.254798\pi\) | |||||||
\(332\) | −0.688384 | − | 22.3026i | −0.0377800 | − | 1.22401i | ||||
\(333\) | −3.79299 | − | 23.7813i | −0.207854 | − | 1.30321i | ||||
\(334\) | −5.49268 | + | 1.75917i | −0.300546 | + | 0.0962574i | ||||
\(335\) | −22.1994 | + | 5.94832i | −1.21288 | + | 0.324991i | ||||
\(336\) | −13.9182 | − | 14.5687i | −0.759299 | − | 0.794788i | ||||
\(337\) | 16.2706 | + | 4.35968i | 0.886314 | + | 0.237487i | 0.673129 | − | 0.739525i | \(-0.264950\pi\) |
0.213185 | + | 0.977012i | \(0.431616\pi\) | |||||||
\(338\) | −18.1756 | + | 0.875882i | −0.988620 | + | 0.0476417i | ||||
\(339\) | −2.06099 | + | 1.73896i | −0.111938 | + | 0.0944473i | ||||
\(340\) | 0.196256 | − | 1.95515i | 0.0106435 | − | 0.106033i | ||||
\(341\) | 8.45593 | − | 5.65007i | 0.457914 | − | 0.305968i | ||||
\(342\) | 16.4395 | + | 18.3731i | 0.888948 | + | 0.993503i | ||||
\(343\) | −6.16826 | − | 14.8915i | −0.333055 | − | 0.804066i | ||||
\(344\) | 1.47133 | − | 1.01223i | 0.0793285 | − | 0.0545758i | ||||
\(345\) | 20.5339 | + | 27.8454i | 1.10551 | + | 1.49915i | ||||
\(346\) | −0.896192 | + | 6.00298i | −0.0481796 | + | 0.322722i | ||||
\(347\) | 0.414549 | + | 1.22122i | 0.0222542 | + | 0.0655587i | 0.957490 | − | 0.288467i | \(-0.0931457\pi\) |
−0.935236 | + | 0.354026i | \(0.884812\pi\) | |||||||
\(348\) | 20.0856 | − | 4.24146i | 1.07670 | − | 0.227366i | ||||
\(349\) | −16.0512 | + | 7.91560i | −0.859203 | + | 0.423712i | −0.817849 | − | 0.575432i | \(-0.804834\pi\) |
−0.0413540 | + | 0.999145i | \(0.513167\pi\) | |||||||
\(350\) | −2.83520 | − | 0.235141i | −0.151548 | − | 0.0125688i | ||||
\(351\) | 23.6058 | − | 11.8818i | 1.25998 | − | 0.634202i | ||||
\(352\) | 15.0318 | − | 21.5033i | 0.801195 | − | 1.14613i | ||||
\(353\) | 5.39054 | − | 9.33669i | 0.286910 | − | 0.496942i | −0.686161 | − | 0.727450i | \(-0.740705\pi\) |
0.973070 | + | 0.230508i | \(0.0740387\pi\) | |||||||
\(354\) | 16.5595 | + | 1.69229i | 0.880129 | + | 0.0899440i | ||||
\(355\) | 11.9836 | + | 0.785445i | 0.636022 | + | 0.0416871i | ||||
\(356\) | 0.559195 | − | 16.1581i | 0.0296373 | − | 0.856375i | ||||
\(357\) | −1.39726 | + | 1.53320i | −0.0739509 | + | 0.0811457i | ||||
\(358\) | −1.98251 | + | 0.781291i | −0.104779 | + | 0.0412925i | ||||
\(359\) | 14.0915 | + | 5.83688i | 0.743720 | + | 0.308059i | 0.722176 | − | 0.691709i | \(-0.243142\pi\) |
0.0215434 | + | 0.999768i | \(0.493142\pi\) | |||||||
\(360\) | −19.0032 | − | 6.97719i | −1.00156 | − | 0.367730i | ||||
\(361\) | −13.6441 | + | 5.65157i | −0.718110 | + | 0.297451i | ||||
\(362\) | −0.121401 | − | 0.125675i | −0.00638069 | − | 0.00660534i | ||||
\(363\) | 8.36225 | − | 16.1711i | 0.438904 | − | 0.848762i | ||||
\(364\) | −4.76419 | − | 29.1957i | −0.249711 | − | 1.53027i | ||||
\(365\) | −10.0719 | + | 8.83285i | −0.527189 | + | 0.462333i | ||||
\(366\) | 0.611699 | + | 21.0442i | 0.0319740 | + | 1.10000i | ||||
\(367\) | −20.3629 | + | 5.45621i | −1.06293 | + | 0.284812i | −0.747586 | − | 0.664165i | \(-0.768787\pi\) |
−0.315346 | + | 0.948977i | \(0.602121\pi\) | |||||||
\(368\) | 33.4271 | − | 2.06547i | 1.74251 | − | 0.107670i | ||||
\(369\) | −24.7974 | − | 7.67039i | −1.29090 | − | 0.399305i | ||||
\(370\) | −25.7931 | + | 8.26087i | −1.34092 | + | 0.429462i | ||||
\(371\) | −25.9973 | − | 8.82488i | −1.34971 | − | 0.458165i | ||||
\(372\) | −7.31341 | + | 2.05211i | −0.379183 | + | 0.106397i | ||||
\(373\) | −13.4834 | − | 6.64929i | −0.698145 | − | 0.344287i | 0.0583409 | − | 0.998297i | \(-0.481419\pi\) |
−0.756486 | + | 0.654009i | \(0.773086\pi\) | |||||||
\(374\) | −2.31555 | − | 1.39083i | −0.119734 | − | 0.0719182i | ||||
\(375\) | 16.5746 | − | 6.49753i | 0.855910 | − | 0.335531i | ||||
\(376\) | 25.1861 | − | 25.8785i | 1.29887 | − | 1.33458i | ||||
\(377\) | 27.8456 | + | 11.5340i | 1.43412 | + | 0.594032i | ||||
\(378\) | 11.7102 | + | 17.8768i | 0.602310 | + | 0.919481i | ||||
\(379\) | 15.5580 | + | 3.09468i | 0.799162 | + | 0.158963i | 0.577746 | − | 0.816216i | \(-0.303932\pi\) |
0.221416 | + | 0.975180i | \(0.428932\pi\) | |||||||
\(380\) | 17.6300 | − | 21.4005i | 0.904400 | − | 1.09782i | ||||
\(381\) | 17.6919 | + | 12.3163i | 0.906382 | + | 0.630985i | ||||
\(382\) | −1.31007 | − | 0.470132i | −0.0670290 | − | 0.0240540i | ||||
\(383\) | 5.99419 | + | 10.3822i | 0.306289 | + | 0.530508i | 0.977547 | − | 0.210716i | \(-0.0675794\pi\) |
−0.671259 | + | 0.741223i | \(0.734246\pi\) | |||||||
\(384\) | −15.6564 | + | 11.7846i | −0.798964 | + | 0.601379i | ||||
\(385\) | −16.0895 | + | 27.8679i | −0.819998 | + | 1.42028i | ||||
\(386\) | −6.19278 | + | 5.24423i | −0.315204 | + | 0.266925i | ||||
\(387\) | −1.72962 | + | 0.772323i | −0.0879218 | + | 0.0392594i | ||||
\(388\) | 28.2684 | + | 4.72142i | 1.43511 | + | 0.239694i | ||||
\(389\) | −5.79908 | + | 6.61258i | −0.294025 | + | 0.335271i | −0.879925 | − | 0.475112i | \(-0.842408\pi\) |
0.585900 | + | 0.810383i | \(0.300741\pi\) | |||||||
\(390\) | −17.2234 | − | 24.2223i | −0.872142 | − | 1.22654i | ||||
\(391\) | −0.450058 | − | 3.41853i | −0.0227604 | − | 0.172883i | ||||
\(392\) | 3.96731 | − | 1.12091i | 0.200379 | − | 0.0566143i | ||||
\(393\) | −16.9943 | + | 21.2929i | −0.857248 | + | 1.07409i | ||||
\(394\) | 0.0676061 | − | 3.90816i | 0.00340595 | − | 0.196890i | ||||
\(395\) | 13.5673 | − | 9.06536i | 0.682644 | − | 0.456128i | ||||
\(396\) | −19.8210 | + | 19.5325i | −0.996043 | + | 0.981543i | ||||
\(397\) | 2.72211 | + | 13.6849i | 0.136619 | + | 0.686828i | 0.987008 | + | 0.160673i | \(0.0513666\pi\) |
−0.850389 | + | 0.526154i | \(0.823633\pi\) | |||||||
\(398\) | 3.33539 | − | 15.3734i | 0.167188 | − | 0.770601i | ||||
\(399\) | −28.4131 | + | 7.03470i | −1.42243 | + | 0.352175i | ||||
\(400\) | −0.549938 | + | 2.71171i | −0.0274969 | + | 0.135585i | ||||
\(401\) | −2.37826 | + | 8.87578i | −0.118765 | + | 0.443235i | −0.999541 | − | 0.0302971i | \(-0.990355\pi\) |
0.880776 | + | 0.473532i | \(0.157021\pi\) | |||||||
\(402\) | 11.1996 | − | 20.7695i | 0.558587 | − | 1.03589i | ||||
\(403\) | −10.5603 | − | 3.58475i | −0.526047 | − | 0.178569i | ||||
\(404\) | −21.0577 | − | 7.97054i | −1.04766 | − | 0.396549i | ||||
\(405\) | 18.4766 | + | 10.9383i | 0.918108 | + | 0.543529i | ||||
\(406\) | −6.71439 | + | 23.4297i | −0.333230 | + | 1.16280i | ||||
\(407\) | −4.85955 | + | 36.9119i | −0.240879 | + | 1.82966i | ||||
\(408\) | 1.32180 | + | 1.52417i | 0.0654391 | + | 0.0754574i | ||||
\(409\) | −0.289324 | − | 2.19764i | −0.0143062 | − | 0.108666i | 0.982802 | − | 0.184663i | \(-0.0591194\pi\) |
−0.997108 | + | 0.0759969i | \(0.975786\pi\) | |||||||
\(410\) | −4.31035 | + | 28.8721i | −0.212873 | + | 1.42589i | ||||
\(411\) | −10.1809 | − | 9.27822i | −0.502188 | − | 0.457661i | ||||
\(412\) | 5.85912 | − | 3.11770i | 0.288658 | − | 0.153598i | ||||
\(413\) | −10.9797 | + | 16.4323i | −0.540275 | + | 0.808579i | ||||
\(414\) | −35.2630 | − | 4.28542i | −1.73308 | − | 0.210617i | ||||
\(415\) | 26.6167 | 1.30656 | ||||||||
\(416\) | −28.7422 | + | 1.27741i | −1.40920 | + | 0.0626304i | ||||
\(417\) | −4.35747 | − | 7.89159i | −0.213386 | − | 0.386453i | ||||
\(418\) | −16.2641 | − | 34.4709i | −0.795504 | − | 1.68603i | ||||
\(419\) | −0.743743 | + | 11.3473i | −0.0363342 | + | 0.554353i | 0.940423 | + | 0.340006i | \(0.110429\pi\) |
−0.976757 | + | 0.214347i | \(0.931238\pi\) | |||||||
\(420\) | 17.8825 | − | 16.0585i | 0.872575 | − | 0.783574i | ||||
\(421\) | 17.2867 | − | 19.7117i | 0.842501 | − | 0.960688i | −0.157137 | − | 0.987577i | \(-0.550227\pi\) |
0.999638 | + | 0.0268883i | \(0.00855986\pi\) | |||||||
\(422\) | −5.37767 | − | 4.27622i | −0.261781 | − | 0.208163i | ||||
\(423\) | −31.2550 | + | 22.1396i | −1.51967 | + | 1.07646i | ||||
\(424\) | −11.4839 | + | 24.1056i | −0.557707 | + | 1.17067i | ||||
\(425\) | 0.282429 | + | 0.0371824i | 0.0136998 | + | 0.00180361i | ||||
\(426\) | −9.03022 | + | 8.39579i | −0.437516 | + | 0.406778i | ||||
\(427\) | −22.4179 | − | 11.0553i | −1.08488 | − | 0.535002i | ||||
\(428\) | 0.793461 | + | 0.570834i | 0.0383534 | + | 0.0275923i | ||||
\(429\) | −40.2164 | + | 7.20420i | −1.94167 | + | 0.347822i | ||||
\(430\) | 1.15273 | + | 1.79151i | 0.0555898 | + | 0.0863943i | ||||
\(431\) | 11.7011 | − | 11.7011i | 0.563620 | − | 0.563620i | −0.366713 | − | 0.930334i | \(-0.619517\pi\) |
0.930334 | + | 0.366713i | \(0.119517\pi\) | |||||||
\(432\) | 18.6002 | − | 9.27529i | 0.894904 | − | 0.446258i | ||||
\(433\) | 4.81140 | + | 4.81140i | 0.231221 | + | 0.231221i | 0.813202 | − | 0.581981i | \(-0.197722\pi\) |
−0.581981 | + | 0.813202i | \(0.697722\pi\) | |||||||
\(434\) | 1.91210 | − | 8.81325i | 0.0917838 | − | 0.423050i | ||||
\(435\) | 4.31792 | + | 24.1041i | 0.207028 | + | 1.15571i | ||||
\(436\) | −23.3204 | + | 14.4412i | −1.11684 | + | 0.691606i | ||||
\(437\) | 21.5192 | − | 43.6367i | 1.02940 | − | 2.08742i | ||||
\(438\) | 0.500422 | − | 13.7453i | 0.0239111 | − | 0.656775i | ||||
\(439\) | −0.0810507 | + | 0.615641i | −0.00386834 | + | 0.0293829i | −0.993270 | − | 0.115820i | \(-0.963050\pi\) |
0.989402 | + | 0.145203i | \(0.0463836\pi\) | |||||||
\(440\) | 25.0852 | + | 18.7137i | 1.19589 | + | 0.892140i | ||||
\(441\) | −4.35392 | + | 0.404822i | −0.207329 | + | 0.0192772i | ||||
\(442\) | 0.335774 | + | 2.94296i | 0.0159711 | + | 0.139982i | ||||
\(443\) | −18.9214 | − | 16.5936i | −0.898981 | − | 0.788385i | 0.0790443 | − | 0.996871i | \(-0.474813\pi\) |
−0.978025 | + | 0.208486i | \(0.933146\pi\) | |||||||
\(444\) | 12.0047 | − | 25.0826i | 0.569719 | − | 1.19037i | ||||
\(445\) | 19.2447 | + | 1.26136i | 0.912284 | + | 0.0597943i | ||||
\(446\) | −25.2097 | − | 9.04678i | −1.19372 | − | 0.428377i | ||||
\(447\) | −2.96706 | + | 1.63831i | −0.140337 | + | 0.0774895i | ||||
\(448\) | −3.66108 | − | 22.9757i | −0.172970 | − | 1.08550i | ||||
\(449\) | 18.9006i | 0.891974i | 0.895039 | + | 0.445987i | \(0.147147\pi\) | ||||
−0.895039 | + | 0.445987i | \(0.852853\pi\) | |||||||
\(450\) | 1.09601 | − | 2.72241i | 0.0516662 | − | 0.128336i | ||||
\(451\) | 33.3659 | + | 22.2944i | 1.57114 | + | 1.04980i | ||||
\(452\) | −3.09934 | + | 0.299410i | −0.145781 | + | 0.0140831i | ||||
\(453\) | −9.97538 | + | 10.9459i | −0.468684 | + | 0.514283i | ||||
\(454\) | −4.69987 | − | 6.34943i | −0.220576 | − | 0.297993i | ||||
\(455\) | 34.9853 | − | 4.60591i | 1.64014 | − | 0.215928i | ||||
\(456\) | 3.55957 | + | 28.2448i | 0.166692 | + | 1.32268i | ||||
\(457\) | −4.10996 | − | 0.541087i | −0.192256 | − | 0.0253110i | 0.0337832 | − | 0.999429i | \(-0.489244\pi\) |
−0.226039 | + | 0.974118i | \(0.572578\pi\) | |||||||
\(458\) | 12.5535 | − | 6.96106i | 0.586584 | − | 0.325269i | ||||
\(459\) | −1.08504 | − | 1.84438i | −0.0506451 | − | 0.0860882i | ||||
\(460\) | 1.23250 | + | 39.9311i | 0.0574656 | + | 1.86180i | ||||
\(461\) | 1.08334 | − | 3.19143i | 0.0504563 | − | 0.148640i | −0.918781 | − | 0.394768i | \(-0.870825\pi\) |
0.969237 | + | 0.246128i | \(0.0791584\pi\) | |||||||
\(462\) | −9.47475 | − | 31.6513i | −0.440805 | − | 1.47255i | ||||
\(463\) | −6.78522 | − | 1.81809i | −0.315336 | − | 0.0844940i | 0.0976799 | − | 0.995218i | \(-0.468858\pi\) |
−0.413016 | + | 0.910724i | \(0.635525\pi\) | |||||||
\(464\) | 21.8659 | + | 9.15306i | 1.01510 | + | 0.424920i | ||||
\(465\) | −2.17759 | − | 8.79529i | −0.100983 | − | 0.407872i | ||||
\(466\) | −7.74408 | + | 4.98287i | −0.358737 | + | 0.230827i | ||||
\(467\) | −30.9381 | + | 6.15398i | −1.43165 | + | 0.284772i | −0.849189 | − | 0.528089i | \(-0.822909\pi\) |
−0.582457 | + | 0.812861i | \(0.697909\pi\) | |||||||
\(468\) | 30.2247 | + | 4.20481i | 1.39714 | + | 0.194368i | ||||
\(469\) | 15.5646 | + | 23.2940i | 0.718706 | + | 1.07562i | ||||
\(470\) | 29.9280 | + | 30.9817i | 1.38048 | + | 1.42908i | ||||
\(471\) | 10.7913 | + | 8.61271i | 0.497236 | + | 0.396853i | ||||
\(472\) | 14.6215 | + | 12.4761i | 0.673010 | + | 0.574260i | ||||
\(473\) | 2.90340 | − | 0.382240i | 0.133498 | − | 0.0175754i | ||||
\(474\) | −2.78961 | + | 16.5194i | −0.128131 | + | 0.758761i | ||||
\(475\) | 3.02214 | + | 2.65035i | 0.138665 | + | 0.121606i | ||||
\(476\) | −2.33373 | + | 0.539552i | −0.106966 | + | 0.0247303i | ||||
\(477\) | 16.6218 | − | 22.9302i | 0.761062 | − | 1.04990i | ||||
\(478\) | −2.17887 | + | 26.2716i | −0.0996591 | + | 1.20164i | ||||
\(479\) | 8.87603 | + | 5.12458i | 0.405556 | + | 0.234148i | 0.688879 | − | 0.724877i | \(-0.258103\pi\) |
−0.283322 | + | 0.959025i | \(0.591437\pi\) | |||||||
\(480\) | −13.4746 | − | 19.1008i | −0.615026 | − | 0.871830i | ||||
\(481\) | 35.3568 | − | 20.4133i | 1.61213 | − | 0.930766i | ||||
\(482\) | 7.12903 | + | 15.1096i | 0.324719 | + | 0.688223i | ||||
\(483\) | 24.0961 | − | 34.6130i | 1.09641 | − | 1.57495i | ||||
\(484\) | 18.5579 | − | 9.87485i | 0.843541 | − | 0.448857i | ||||
\(485\) | −6.66965 | + | 33.5306i | −0.302853 | + | 1.52255i | ||||
\(486\) | −21.1873 | + | 6.09096i | −0.961074 | + | 0.276291i | ||||
\(487\) | 4.15186 | − | 10.0235i | 0.188139 | − | 0.454208i | −0.801462 | − | 0.598045i | \(-0.795944\pi\) |
0.989601 | + | 0.143838i | \(0.0459443\pi\) | |||||||
\(488\) | −13.2307 | + | 20.3943i | −0.598923 | + | 0.923209i | ||||
\(489\) | 1.38557 | + | 3.53446i | 0.0626575 | + | 0.159834i | ||||
\(490\) | 1.19045 | + | 4.77147i | 0.0537792 | + | 0.215553i | ||||
\(491\) | −12.5982 | + | 25.5466i | −0.568549 | + | 1.15290i | 0.402809 | + | 0.915284i | \(0.368034\pi\) |
−0.971358 | + | 0.237620i | \(0.923633\pi\) | |||||||
\(492\) | −18.5243 | − | 23.5623i | −0.835141 | − | 1.06227i | ||||
\(493\) | 0.784462 | − | 2.31095i | 0.0353304 | − | 0.104080i | ||||
\(494\) | −19.1318 | + | 37.1610i | −0.860781 | + | 1.67195i | ||||
\(495\) | −22.5591 | − | 24.3514i | −1.01396 | − | 1.09451i | ||||
\(496\) | −8.29488 | − | 2.85036i | −0.372451 | − | 0.127985i | ||||
\(497\) | −3.78891 | − | 14.1404i | −0.169956 | − | 0.634283i | ||||
\(498\) | −18.7542 | + | 19.8771i | −0.840395 | + | 0.890714i | ||||
\(499\) | −18.5846 | − | 21.1917i | −0.831960 | − | 0.948669i | 0.167346 | − | 0.985898i | \(-0.446480\pi\) |
−0.999307 | + | 0.0372293i | \(0.988147\pi\) | |||||||
\(500\) | 20.0110 | + | 4.70537i | 0.894920 | + | 0.210430i | ||||
\(501\) | 6.27447 | + | 3.24460i | 0.280322 | + | 0.144958i | ||||
\(502\) | −27.2450 | − | 0.471304i | −1.21600 | − | 0.0210353i | ||||
\(503\) | 2.33867 | + | 5.64605i | 0.104276 | + | 0.251745i | 0.967403 | − | 0.253243i | \(-0.0814971\pi\) |
−0.863127 | + | 0.504987i | \(0.831497\pi\) | |||||||
\(504\) | −0.607696 | + | 24.6693i | −0.0270689 | + | 1.09886i | ||||
\(505\) | 10.2782 | − | 24.8138i | 0.457375 | − | 1.10420i | ||||
\(506\) | 50.3659 | + | 21.8904i | 2.23904 | + | 0.973146i | ||||
\(507\) | 16.4721 | + | 15.0116i | 0.731551 | + | 0.666687i | ||||
\(508\) | 8.72452 | + | 23.3126i | 0.387088 | + | 1.03433i | ||||
\(509\) | −1.39861 | + | 21.3387i | −0.0619923 | + | 0.945820i | 0.847684 | + | 0.530502i | \(0.177997\pi\) |
−0.909676 | + | 0.415318i | \(0.863670\pi\) | |||||||
\(510\) | −1.86591 | + | 1.51990i | −0.0826237 | + | 0.0673021i | ||||
\(511\) | 14.1423 | + | 8.16504i | 0.625617 | + | 0.361200i | ||||
\(512\) | −22.6087 | + | 0.920152i | −0.999173 | + | 0.0406654i | ||||
\(513\) | 1.72867 | − | 30.1456i | 0.0763226 | − | 1.33096i | ||||
\(514\) | −25.9187 | − | 30.6067i | −1.14322 | − | 1.35000i | ||||
\(515\) | 3.50161 | + | 7.10056i | 0.154299 | + | 0.312888i | ||||
\(516\) | −2.15010 | − | 0.401452i | −0.0946531 | − | 0.0176729i | ||||
\(517\) | 56.0719 | − | 19.0339i | 2.46604 | − | 0.837108i | ||||
\(518\) | 19.6421 | + | 26.5360i | 0.863023 | + | 1.16593i | ||||
\(519\) | 5.98279 | − | 4.41186i | 0.262615 | − | 0.193659i | ||||
\(520\) | −0.465318 | − | 34.3163i | −0.0204055 | − | 1.50487i | ||||
\(521\) | −6.97296 | + | 2.88830i | −0.305491 | + | 0.126539i | −0.530163 | − | 0.847896i | \(-0.677869\pi\) |
0.224671 | + | 0.974435i | \(0.427869\pi\) | |||||||
\(522\) | −21.0432 | − | 13.7593i | −0.921035 | − | 0.602227i | ||||
\(523\) | −17.8240 | − | 26.6754i | −0.779387 | − | 1.16643i | −0.982314 | − | 0.187241i | \(-0.940045\pi\) |
0.202927 | − | 0.979194i | \(-0.434955\pi\) | |||||||
\(524\) | −30.1202 | + | 9.07543i | −1.31581 | + | 0.396462i | ||||
\(525\) | 2.24694 | + | 2.66304i | 0.0980645 | + | 0.116225i | ||||
\(526\) | 10.0868 | − | 11.1082i | 0.439807 | − | 0.484342i | ||||
\(527\) | −0.233716 | + | 0.872238i | −0.0101808 | + | 0.0379953i | ||||
\(528\) | −31.6503 | + | 5.54768i | −1.37740 | + | 0.241432i | ||||
\(529\) | 12.1910 | + | 45.4974i | 0.530043 | + | 1.97815i | ||||
\(530\) | −28.3184 | − | 14.5793i | −1.23007 | − | 0.633286i | ||||
\(531\) | −12.8470 | − | 15.8296i | −0.557512 | − | 0.686948i | ||||
\(532\) | −31.6106 | − | 11.9649i | −1.37049 | − | 0.518744i | ||||
\(533\) | −2.87805 | − | 43.9106i | −0.124662 | − | 1.90198i | ||||
\(534\) | −14.5018 | + | 13.4830i | −0.627555 | + | 0.583465i | ||||
\(535\) | −0.709805 | + | 0.925036i | −0.0306876 | + | 0.0399928i | ||||
\(536\) | 24.2716 | − | 12.3813i | 1.04837 | − | 0.534792i | ||||
\(537\) | 2.39165 | + | 1.04459i | 0.103207 | + | 0.0450773i | ||||
\(538\) | −1.55052 | − | 3.93442i | −0.0668477 | − | 0.169625i | ||||
\(539\) | 6.63026 | + | 1.31884i | 0.285585 | + | 0.0568065i | ||||
\(540\) | 10.3744 | + | 22.5184i | 0.446444 | + | 0.969037i | ||||
\(541\) | 2.73360 | + | 1.82653i | 0.117527 | + | 0.0785287i | 0.612944 | − | 0.790126i | \(-0.289985\pi\) |
−0.495418 | + | 0.868655i | \(0.664985\pi\) | |||||||
\(542\) | 8.95201 | + | 6.20816i | 0.384522 | + | 0.266663i | ||||
\(543\) | −0.00408594 | + | 0.213967i | −0.000175344 | + | 0.00918221i | ||||
\(544\) | 0.255425 | + | 2.31555i | 0.0109513 | + | 0.0992782i | ||||
\(545\) | −16.3600 | − | 28.3363i | −0.700784 | − | 1.21379i | ||||
\(546\) | −21.2111 | + | 29.3721i | −0.907752 | + | 1.25701i | ||||
\(547\) | −14.1595 | − | 28.7125i | −0.605415 | − | 1.22766i | −0.956614 | − | 0.291359i | \(-0.905893\pi\) |
0.351199 | − | 0.936301i | \(-0.385774\pi\) | |||||||
\(548\) | −3.58278 | − | 15.4966i | −0.153049 | − | 0.661983i | ||||
\(549\) | 17.7288 | − | 18.7228i | 0.756646 | − | 0.799069i | ||||
\(550\) | −2.82386 | + | 3.55121i | −0.120410 | + | 0.151424i | ||||
\(551\) | 27.3205 | − | 20.9638i | 1.16389 | − | 0.893086i | ||||
\(552\) | −30.6886 | − | 27.2152i | −1.30619 | − | 1.15835i | ||||
\(553\) | −15.7802 | − | 12.1086i | −0.671044 | − | 0.514910i | ||||
\(554\) | −5.91360 | − | 23.7024i | −0.251245 | − | 1.00702i | ||||
\(555\) | 29.4642 | + | 15.2363i | 1.25069 | + | 0.646744i | ||||
\(556\) | 1.03965 | − | 10.3572i | 0.0440909 | − | 0.439244i | ||||
\(557\) | 0.907617 | + | 4.56290i | 0.0384570 | + | 0.193336i | 0.995238 | − | 0.0974723i | \(-0.0310757\pi\) |
−0.956781 | + | 0.290809i | \(0.906076\pi\) | |||||||
\(558\) | 8.10258 | + | 4.57098i | 0.343010 | + | 0.193505i | ||||
\(559\) | −2.27074 | − | 2.27074i | −0.0960422 | − | 0.0960422i | ||||
\(560\) | 27.5286 | − | 3.51957i | 1.16330 | − | 0.148729i | ||||
\(561\) | 0.795063 | + | 3.21126i | 0.0335676 | + | 0.135579i | ||||
\(562\) | −22.0128 | + | 24.2419i | −0.928555 | + | 1.02258i | ||||
\(563\) | 9.31737 | − | 8.17112i | 0.392681 | − | 0.344372i | −0.440126 | − | 0.897936i | \(-0.645066\pi\) |
0.832806 | + | 0.553565i | \(0.186733\pi\) | |||||||
\(564\) | −44.2242 | + | 0.520192i | −1.86217 | + | 0.0219041i | ||||
\(565\) | −0.242927 | − | 3.70636i | −0.0102200 | − | 0.155928i | ||||
\(566\) | 14.3474 | + | 25.8739i | 0.603067 | + | 1.08756i | ||||
\(567\) | 5.38639 | − | 25.6135i | 0.226207 | − | 1.07566i | ||||
\(568\) | −14.0894 | + | 2.04961i | −0.591178 | + | 0.0859998i | ||||
\(569\) | −27.1826 | + | 20.8579i | −1.13955 | + | 0.874410i | −0.993383 | − | 0.114849i | \(-0.963362\pi\) |
−0.146171 | + | 0.989259i | \(0.546695\pi\) | |||||||
\(570\) | −33.8072 | + | 3.20463i | −1.41603 | + | 0.134227i | ||||
\(571\) | 10.4879 | + | 30.8964i | 0.438905 | + | 1.29297i | 0.911357 | + | 0.411617i | \(0.135036\pi\) |
−0.472452 | + | 0.881356i | \(0.656631\pi\) | |||||||
\(572\) | −42.9354 | − | 19.5506i | −1.79522 | − | 0.817452i | ||||
\(573\) | 0.724636 | + | 1.54300i | 0.0302721 | + | 0.0644599i | ||||
\(574\) | 35.0160 | − | 6.33757i | 1.46154 | − | 0.264525i | ||||
\(575\) | −5.79164 | −0.241528 | ||||||||
\(576\) | 23.7585 | + | 3.39583i | 0.989939 | + | 0.141493i | ||||
\(577\) | −46.1278 | −1.92032 | −0.960162 | − | 0.279442i | \(-0.909850\pi\) | ||||
−0.960162 | + | 0.279442i | \(0.909850\pi\) | |||||||
\(578\) | −23.4213 | + | 4.23904i | −0.974196 | + | 0.176321i | ||||
\(579\) | 9.90325 | + | 0.839257i | 0.411565 | + | 0.0348783i | ||||
\(580\) | −11.7179 | + | 25.7338i | −0.486558 | + | 1.06854i | ||||
\(581\) | −10.4293 | − | 30.7236i | −0.432679 | − | 1.27463i | ||||
\(582\) | −20.3409 | − | 28.6066i | −0.843157 | − | 1.18578i | ||||
\(583\) | −34.7362 | + | 26.6540i | −1.43863 | + | 1.10390i | ||||
\(584\) | 9.49674 | − | 12.7301i | 0.392978 | − | 0.526777i | ||||
\(585\) | −6.12570 | + | 35.8821i | −0.253266 | + | 1.48354i | ||||
\(586\) | −6.33217 | − | 11.4193i | −0.261580 | − | 0.471728i | ||||
\(587\) | 1.88808 | + | 28.8065i | 0.0779293 | + | 1.18897i | 0.840407 | + | 0.541956i | \(0.182316\pi\) |
−0.762477 | + | 0.647015i | \(0.776017\pi\) | |||||||
\(588\) | −4.40209 | − | 2.47297i | −0.181539 | − | 0.101984i | ||||
\(589\) | −9.58001 | + | 8.40145i | −0.394738 | + | 0.346176i | ||||
\(590\) | −15.4133 | + | 16.9741i | −0.634557 | + | 0.698813i | ||||
\(591\) | −3.44908 | + | 3.31982i | −0.141876 | + | 0.136559i | ||||
\(592\) | 27.8672 | − | 15.9506i | 1.14534 | − | 0.655564i | ||||
\(593\) | 4.07635 | + | 4.07635i | 0.167395 | + | 0.167395i | 0.785834 | − | 0.618438i | \(-0.212234\pi\) |
−0.618438 | + | 0.785834i | \(0.712234\pi\) | |||||||
\(594\) | 34.0806 | + | 0.311113i | 1.39834 | + | 0.0127651i | ||||
\(595\) | −0.557424 | − | 2.80236i | −0.0228521 | − | 0.114885i | ||||
\(596\) | −3.89408 | − | 0.390884i | −0.159508 | − | 0.0160112i | ||||
\(597\) | −16.2210 | + | 10.3961i | −0.663883 | + | 0.425486i | ||||
\(598\) | −14.5781 | − | 58.4307i | −0.596144 | − | 2.38941i | ||||
\(599\) | 26.4543 | + | 20.2991i | 1.08089 | + | 0.829399i | 0.986109 | − | 0.166099i | \(-0.0531172\pi\) |
0.0947843 | + | 0.995498i | \(0.469784\pi\) | |||||||
\(600\) | 2.82803 | − | 1.86707i | 0.115454 | − | 0.0762228i | ||||
\(601\) | −31.3623 | + | 24.0652i | −1.27930 | + | 0.981639i | −0.279527 | + | 0.960138i | \(0.590178\pi\) |
−0.999769 | + | 0.0215009i | \(0.993156\pi\) | |||||||
\(602\) | 1.61626 | − | 2.03257i | 0.0658739 | − | 0.0828415i | ||||
\(603\) | −27.7009 | + | 8.23802i | −1.12807 | + | 0.335478i | ||||
\(604\) | −16.6610 | + | 3.85199i | −0.677928 | + | 0.156735i | ||||
\(605\) | 11.0908 | + | 22.4900i | 0.450906 | + | 0.914348i | ||||
\(606\) | 11.2887 | + | 25.1596i | 0.458571 | + | 1.02204i | ||||
\(607\) | 10.7975 | + | 18.7018i | 0.438257 | + | 0.759084i | 0.997555 | − | 0.0698829i | \(-0.0222626\pi\) |
−0.559298 | + | 0.828967i | \(0.688929\pi\) | |||||||
\(608\) | −15.1559 | + | 29.1699i | −0.614654 | + | 1.18300i | ||||
\(609\) | 26.1315 | − | 14.4289i | 1.05890 | − | 0.584690i | ||||
\(610\) | −23.8293 | − | 16.5254i | −0.964819 | − | 0.669095i | ||||
\(611\) | −53.9906 | − | 36.0754i | −2.18423 | − | 1.45945i | ||||
\(612\) | 0.179678 | − | 2.46436i | 0.00726304 | − | 0.0996160i | ||||
\(613\) | 15.0591 | + | 2.99544i | 0.608231 | + | 0.120985i | 0.489590 | − | 0.871953i | \(-0.337146\pi\) |
0.118640 | + | 0.992937i | \(0.462146\pi\) | |||||||
\(614\) | −2.13982 | − | 5.42976i | −0.0863561 | − | 0.219127i | ||||
\(615\) | 28.7750 | − | 21.2194i | 1.16032 | − | 0.855649i | ||||
\(616\) | 11.7720 | − | 36.2885i | 0.474308 | − | 1.46210i | ||||
\(617\) | −5.25001 | + | 6.84194i | −0.211357 | + | 0.275446i | −0.886986 | − | 0.461795i | \(-0.847205\pi\) |
0.675629 | + | 0.737242i | \(0.263872\pi\) | |||||||
\(618\) | −7.76987 | − | 2.38810i | −0.312550 | − | 0.0960636i | ||||
\(619\) | 1.35642 | + | 20.6950i | 0.0545192 | + | 0.831803i | 0.934314 | + | 0.356450i | \(0.116013\pi\) |
−0.879795 | + | 0.475353i | \(0.842320\pi\) | |||||||
\(620\) | 3.70374 | − | 9.78508i | 0.148746 | − | 0.392978i | ||||
\(621\) | 26.7658 | + | 34.2981i | 1.07407 | + | 1.37633i | ||||
\(622\) | 40.4757 | + | 20.8384i | 1.62293 | + | 0.835543i | ||||
\(623\) | −6.08468 | − | 22.7083i | −0.243778 | − | 0.909791i | ||||
\(624\) | 25.9549 | + | 23.8318i | 1.03903 | + | 0.954037i | ||||
\(625\) | −7.24180 | + | 27.0268i | −0.289672 | + | 1.08107i | ||||
\(626\) | 12.3699 | − | 13.6225i | 0.494400 | − | 0.544463i | ||||
\(627\) | −15.8465 | + | 43.9094i | −0.632847 | + | 1.75357i | ||||
\(628\) | 4.59944 | + | 15.2650i | 0.183538 | + | 0.609138i | ||||
\(629\) | −1.83660 | − | 2.74866i | −0.0732299 | − | 0.109596i | ||||
\(630\) | −29.3909 | − | 1.63241i | −1.17096 | − | 0.0650369i | ||||
\(631\) | −25.9712 | + | 10.7576i | −1.03390 | + | 0.428254i | −0.834117 | − | 0.551587i | \(-0.814022\pi\) |
−0.199779 | + | 0.979841i | \(0.564022\pi\) | |||||||
\(632\) | −13.4923 | + | 13.8632i | −0.536694 | + | 0.551448i | ||||
\(633\) | 0.938861 | + | 8.36222i | 0.0373164 | + | 0.332368i | ||||
\(634\) | 10.6000 | + | 14.3204i | 0.420981 | + | 0.568737i | ||||
\(635\) | −28.1166 | + | 9.54431i | −1.11577 | + | 0.378754i | ||||
\(636\) | 30.8410 | − | 10.8753i | 1.22292 | − | 0.431233i | ||||
\(637\) | −3.27874 | − | 6.64862i | −0.129908 | − | 0.263428i | ||||
\(638\) | 25.1193 | + | 29.6627i | 0.994482 | + | 1.17436i | ||||
\(639\) | 15.0904 | + | 0.576544i | 0.596965 | + | 0.0228077i | ||||
\(640\) | −0.265072 | − | 26.9902i | −0.0104779 | − | 1.06688i | ||||
\(641\) | 2.38780 | + | 1.37860i | 0.0943124 | + | 0.0544513i | 0.546414 | − | 0.837515i | \(-0.315992\pi\) |
−0.452102 | + | 0.891966i | \(0.649326\pi\) | |||||||
\(642\) | −0.190678 | − | 1.18186i | −0.00752545 | − | 0.0466443i | ||||
\(643\) | 0.763725 | − | 11.6522i | 0.0301184 | − | 0.459517i | −0.955988 | − | 0.293404i | \(-0.905212\pi\) |
0.986107 | − | 0.166113i | \(-0.0531216\pi\) | |||||||
\(644\) | 45.6096 | − | 17.0690i | 1.79727 | − | 0.672612i | ||||
\(645\) | 0.557777 | − | 2.54879i | 0.0219625 | − | 0.100359i | ||||
\(646\) | 3.10386 | + | 1.34902i | 0.122120 | + | 0.0530764i | ||||
\(647\) | −0.924974 | + | 2.23308i | −0.0363645 | + | 0.0877916i | −0.941018 | − | 0.338355i | \(-0.890129\pi\) |
0.904654 | + | 0.426147i | \(0.140129\pi\) | |||||||
\(648\) | −24.1264 | − | 8.11900i | −0.947773 | − | 0.318945i | ||||
\(649\) | 12.0614 | + | 29.1187i | 0.473450 | + | 1.14301i | ||||
\(650\) | 4.97460 | + | 0.0860542i | 0.195120 | + | 0.00337532i | ||||
\(651\) | −9.29915 | + | 5.95987i | −0.364463 | + | 0.233586i | ||||
\(652\) | −1.00340 | + | 4.26726i | −0.0392961 | + | 0.167119i | ||||
\(653\) | −13.1526 | − | 14.9976i | −0.514700 | − | 0.586902i | 0.434857 | − | 0.900500i | \(-0.356799\pi\) |
−0.949556 | + | 0.313597i | \(0.898466\pi\) | |||||||
\(654\) | 32.6886 | + | 7.74836i | 1.27822 | + | 0.302985i | ||||
\(655\) | −9.71217 | − | 36.2463i | −0.379486 | − | 1.41626i | ||||
\(656\) | −2.13442 | − | 34.5430i | −0.0833350 | − | 1.34868i | ||||
\(657\) | −12.3577 | + | 11.4482i | −0.482121 | + | 0.446637i | ||||
\(658\) | 24.0354 | − | 46.6855i | 0.936997 | − | 1.81999i | ||||
\(659\) | 8.18268 | − | 24.1054i | 0.318752 | − | 0.939013i | −0.662962 | − | 0.748653i | \(-0.730701\pi\) |
0.981714 | − | 0.190361i | \(-0.0609657\pi\) | |||||||
\(660\) | −5.44972 | − | 37.9408i | −0.212130 | − | 1.47684i | ||||
\(661\) | −10.5160 | + | 21.3243i | −0.409024 | + | 0.829419i | 0.590721 | + | 0.806876i | \(0.298843\pi\) |
−0.999746 | + | 0.0225439i | \(0.992823\pi\) | |||||||
\(662\) | −8.07124 | − | 32.3504i | −0.313698 | − | 1.25733i | ||||
\(663\) | 2.26299 | − | 2.83540i | 0.0878871 | − | 0.110118i | ||||
\(664\) | −30.8630 | + | 6.57526i | −1.19772 | + | 0.255170i | ||||
\(665\) | 15.4290 | − | 37.2490i | 0.598312 | − | 1.44445i | ||||
\(666\) | −32.1389 | + | 11.2681i | −1.24536 | + | 0.436630i | ||||
\(667\) | −9.67988 | + | 48.6640i | −0.374806 | + | 1.88428i | ||||
\(668\) | 3.83149 | + | 7.20056i | 0.148245 | + | 0.278598i | ||||
\(669\) | 13.9442 | + | 29.6921i | 0.539114 | + | 1.14796i | ||||
\(670\) | 13.8690 | + | 29.3946i | 0.535807 | + | 1.13561i | ||||
\(671\) | −34.5223 | + | 19.9315i | −1.33272 | + | 0.769446i | ||||
\(672\) | −16.7683 | + | 23.0380i | −0.646853 | + | 0.888710i | ||||
\(673\) | 10.0080 | + | 5.77814i | 0.385781 | + | 0.222731i | 0.680331 | − | 0.732905i | \(-0.261836\pi\) |
−0.294549 | + | 0.955636i | \(0.595170\pi\) | |||||||
\(674\) | 1.96893 | − | 23.7402i | 0.0758402 | − | 0.914440i | ||||
\(675\) | −3.30937 | + | 1.40257i | −0.127378 | + | 0.0539848i | ||||
\(676\) | 5.79672 | + | 25.0726i | 0.222951 | + | 0.964330i | ||||
\(677\) | −8.39609 | − | 7.36317i | −0.322688 | − | 0.282990i | 0.482641 | − | 0.875818i | \(-0.339678\pi\) |
−0.805328 | + | 0.592829i | \(0.798011\pi\) | |||||||
\(678\) | 2.93904 | + | 2.43009i | 0.112873 | + | 0.0933271i | ||||
\(679\) | 41.3178 | − | 5.43959i | 1.58563 | − | 0.208752i | ||||
\(680\) | −2.77022 | + | 0.219328i | −0.106233 | + | 0.00841086i | ||||
\(681\) | −1.44575 | + | 9.56639i | −0.0554014 | + | 0.366585i | ||||
\(682\) | −9.99244 | − | 10.3442i | −0.382630 | − | 0.396101i | ||||
\(683\) | −19.3997 | − | 29.0338i | −0.742311 | − | 1.11095i | −0.989857 | − | 0.142070i | \(-0.954624\pi\) |
0.247546 | − | 0.968876i | \(-0.420376\pi\) | |||||||
\(684\) | 21.4275 | − | 27.5049i | 0.819300 | − | 1.05168i | ||||
\(685\) | 18.6085 | − | 3.70146i | 0.710993 | − | 0.141425i | ||||
\(686\) | −19.1695 | + | 12.3345i | −0.731895 | + | 0.470932i | ||||
\(687\) | −16.8913 | − | 4.87351i | −0.644445 | − | 0.185936i | ||||
\(688\) | −1.77920 | − | 1.79255i | −0.0678315 | − | 0.0683405i | ||||
\(689\) | 46.3771 | + | 12.4267i | 1.76683 | + | 0.473420i | ||||
\(690\) | 33.5780 | − | 35.5885i | 1.27829 | − | 1.35483i | ||||
\(691\) | −14.0794 | + | 41.4765i | −0.535604 | + | 1.57784i | 0.255918 | + | 0.966699i | \(0.417622\pi\) |
−0.791522 | + | 0.611141i | \(0.790711\pi\) | |||||||
\(692\) | 8.57949 | − | 0.264812i | 0.326143 | − | 0.0100666i | ||||
\(693\) | −19.2694 | + | 35.5816i | −0.731984 | + | 1.35163i | ||||
\(694\) | 1.59505 | − | 0.884475i | 0.0605472 | − | 0.0335742i | ||||
\(695\) | 12.3107 | + | 1.62073i | 0.466970 | + | 0.0614778i | ||||
\(696\) | −10.9613 | − | 26.8829i | −0.415489 | − | 1.01900i | ||||
\(697\) | −3.53265 | + | 0.465083i | −0.133809 | + | 0.0176163i | ||||
\(698\) | 15.0582 | + | 20.3433i | 0.569960 | + | 0.770005i | ||||
\(699\) | 11.0175 | + | 2.41108i | 0.416722 | + | 0.0911953i | ||||
\(700\) | 0.386873 | + | 4.00471i | 0.0146224 | + | 0.151364i | ||||
\(701\) | 29.1875 | + | 19.5025i | 1.10240 | + | 0.736598i | 0.967148 | − | 0.254214i | \(-0.0818166\pi\) |
0.135249 | + | 0.990812i | \(0.456817\pi\) | |||||||
\(702\) | −22.4802 | − | 29.8572i | −0.848462 | − | 1.12689i | ||||
\(703\) | − | 46.6471i | − | 1.75933i | ||||||
\(704\) | −33.7101 | − | 15.5023i | −1.27050 | − | 0.584263i | ||||
\(705\) | 1.00727 | − | 52.7476i | 0.0379361 | − | 1.98659i | ||||
\(706\) | −14.3507 | − | 5.14989i | −0.540095 | − | 0.193819i | ||||
\(707\) | −32.6699 | − | 2.14130i | −1.22868 | − | 0.0805318i | ||||
\(708\) | −1.81582 | − | 23.4705i | −0.0682425 | − | 0.882077i | ||||
\(709\) | 7.80631 | + | 6.84595i | 0.293172 | + | 0.257105i | 0.793279 | − | 0.608859i | \(-0.208372\pi\) |
−0.500106 | + | 0.865964i | \(0.666706\pi\) | |||||||
\(710\) | −1.92525 | − | 16.8742i | −0.0722532 | − | 0.633278i | ||||
\(711\) | 16.7434 | − | 11.8603i | 0.627927 | − | 0.444795i | ||||
\(712\) | −22.6265 | + | 3.29151i | −0.847963 | + | 0.123355i | ||||
\(713\) | 2.39635 | − | 18.2021i | 0.0897441 | − | 0.681674i | ||||
\(714\) | 2.48554 | + | 1.55827i | 0.0930189 | + | 0.0583168i | ||||
\(715\) | 24.8902 | − | 50.4724i | 0.930842 | − | 1.88756i | ||||
\(716\) | 1.58658 | + | 2.56209i | 0.0592933 | + | 0.0957499i | ||||
\(717\) | 24.6763 | − | 20.8206i | 0.921553 | − | 0.777560i | ||||
\(718\) | 4.57344 | − | 21.0799i | 0.170679 | − | 0.786694i | ||||
\(719\) | −20.0508 | − | 20.0508i | −0.747768 | − | 0.747768i | 0.226292 | − | 0.974060i | \(-0.427340\pi\) |
−0.974060 | + | 0.226292i | \(0.927340\pi\) | |||||||
\(720\) | −4.92319 | + | 28.2023i | −0.183477 | + | 1.05104i | ||||
\(721\) | 6.82413 | − | 6.82413i | 0.254144 | − | 0.254144i | ||||
\(722\) | 11.3013 | + | 17.5637i | 0.420589 | + | 0.653654i | ||||
\(723\) | 6.94596 | − | 19.2468i | 0.258323 | − | 0.715795i | ||||
\(724\) | −0.144313 | + | 0.200596i | −0.00536335 | + | 0.00745508i | ||||
\(725\) | −3.67649 | − | 1.81305i | −0.136542 | − | 0.0673348i | ||||
\(726\) | −24.6099 | − | 7.56397i | −0.913360 | − | 0.280725i | ||||
\(727\) | −12.4279 | − | 1.63617i | −0.460926 | − | 0.0606821i | −0.103512 | − | 0.994628i | \(-0.533008\pi\) |
−0.357414 | + | 0.933946i | \(0.616341\pi\) | |||||||
\(728\) | −39.4289 | + | 13.9833i | −1.46133 | + | 0.518256i | ||||
\(729\) | 23.6001 | + | 13.1162i | 0.874078 | + | 0.485786i | ||||
\(730\) | 14.8286 | + | 11.7914i | 0.548832 | + | 0.436421i | ||||
\(731\) | −0.171446 | + | 0.195497i | −0.00634117 | + | 0.00723072i | ||||
\(732\) | 29.1312 | − | 6.15161i | 1.07672 | − | 0.227370i | ||||
\(733\) | 0.923801 | − | 14.0945i | 0.0341214 | − | 0.520591i | −0.946251 | − | 0.323434i | \(-0.895162\pi\) |
0.980372 | − | 0.197157i | \(-0.0631709\pi\) | |||||||
\(734\) | 12.7216 | + | 26.9628i | 0.469564 | + | 0.995215i | ||||
\(735\) | 3.11053 | − | 5.15760i | 0.114733 | − | 0.190241i | ||||
\(736\) | −11.2935 | − | 45.9971i | −0.416285 | − | 1.69548i | ||||
\(737\) | 44.6791 | 1.64578 | ||||||||
\(738\) | −4.42848 | + | 36.4402i | −0.163015 | + | 1.34138i | ||||
\(739\) | −27.9709 | + | 41.8614i | −1.02893 | + | 1.53990i | −0.200583 | + | 0.979677i | \(0.564284\pi\) |
−0.828343 | + | 0.560221i | \(0.810716\pi\) | |||||||
\(740\) | 17.9923 | + | 33.8131i | 0.661410 | + | 1.24299i | ||||
\(741\) | 48.7790 | − | 15.5261i | 1.79194 | − | 0.570365i | ||||
\(742\) | −5.73287 | + | 38.4006i | −0.210460 | + | 1.40973i | ||||
\(743\) | 1.03141 | + | 7.83435i | 0.0378388 | + | 0.287414i | 0.999894 | + | 0.0145594i | \(0.00463456\pi\) |
−0.962055 | + | 0.272855i | \(0.912032\pi\) | |||||||
\(744\) | 4.69774 | + | 9.66051i | 0.172228 | + | 0.354171i | ||||
\(745\) | 0.609357 | − | 4.62853i | 0.0223251 | − | 0.169576i | ||||
\(746\) | −5.85714 | + | 20.4383i | −0.214445 | + | 0.748301i | ||||
\(747\) | 33.4574 | − | 0.912350i | 1.22414 | − | 0.0333812i | ||||
\(748\) | −1.35227 | + | 3.57264i | −0.0494441 | + | 0.130629i | ||||
\(749\) | 1.34589 | + | 0.456869i | 0.0491779 | + | 0.0166936i | ||||
\(750\) | −13.2166 | − | 21.4288i | −0.482602 | − | 0.782469i | ||||
\(751\) | 6.86021 | − | 25.6026i | 0.250333 | − | 0.934254i | −0.720295 | − | 0.693668i | \(-0.755994\pi\) |
0.970628 | − | 0.240586i | \(-0.0773397\pi\) | |||||||
\(752\) | −42.3562 | − | 28.5311i | −1.54457 | − | 1.04042i | ||||
\(753\) | 23.1435 | + | 24.0446i | 0.843397 | + | 0.876236i | ||||
\(754\) | 9.03738 | − | 41.6550i | 0.329122 | − | 1.51699i | ||||
\(755\) | −3.97958 | − | 20.0067i | −0.144832 | − | 0.728118i | ||||
\(756\) | 21.9279 | − | 20.7986i | 0.797512 | − | 0.756438i | ||||
\(757\) | −36.0676 | + | 24.0996i | −1.31090 | + | 0.875916i | −0.997285 | − | 0.0736341i | \(-0.976540\pi\) |
−0.313616 | + | 0.949550i | \(0.601540\pi\) | |||||||
\(758\) | 0.388011 | − | 22.4301i | 0.0140932 | − | 0.814697i | ||||
\(759\) | −24.5481 | − | 62.6200i | −0.891039 | − | 2.27296i | ||||
\(760\) | −34.2215 | − | 19.1439i | −1.24134 | − | 0.694421i | ||||
\(761\) | 2.79975 | + | 21.2662i | 0.101491 | + | 0.770898i | 0.964196 | + | 0.265191i | \(0.0854350\pi\) |
−0.862705 | + | 0.505707i | \(0.831232\pi\) | |||||||
\(762\) | 12.6834 | − | 27.7222i | 0.459473 | − | 1.00427i | ||||
\(763\) | −26.2982 | + | 29.9874i | −0.952059 | + | 1.08562i | ||||
\(764\) | −0.324274 | + | 1.94151i | −0.0117318 | + | 0.0702414i | ||||
\(765\) | 2.93165 | + | 0.304921i | 0.105994 | + | 0.0110244i | ||||
\(766\) | 12.9382 | − | 10.9565i | 0.467477 | − | 0.395874i | ||||
\(767\) | 17.2811 | − | 29.9317i | 0.623984 | − | 1.08077i | ||||
\(768\) | 20.3428 | + | 18.8194i | 0.734058 | + | 0.679087i | ||||
\(769\) | −5.45975 | − | 9.45656i | −0.196884 | − | 0.341012i | 0.750633 | − | 0.660720i | \(-0.229749\pi\) |
−0.947516 | + | 0.319707i | \(0.896415\pi\) | |||||||
\(770\) | 42.8335 | + | 15.3712i | 1.54361 | + | 0.553941i | ||||
\(771\) | −4.14788 | + | 48.9450i | −0.149382 | + | 1.76271i | ||||
\(772\) | 8.85766 | + | 7.29704i | 0.318794 | + | 0.262626i | ||||
\(773\) | −33.1749 | − | 6.59890i | −1.19322 | − | 0.237346i | −0.441764 | − | 0.897131i | \(-0.645647\pi\) |
−0.751454 | + | 0.659786i | \(0.770647\pi\) | |||||||
\(774\) | 1.51040 | + | 2.21243i | 0.0542904 | + | 0.0795242i | ||||
\(775\) | 1.40132 | + | 0.580445i | 0.0503369 | + | 0.0208502i | ||||
\(776\) | −0.549542 | − | 40.5276i | −0.0197274 | − | 1.45486i | ||||
\(777\) | 6.04221 | − | 39.9806i | 0.216763 | − | 1.43430i | ||||
\(778\) | 10.6627 | + | 6.40453i | 0.382276 | + | 0.229613i | ||||
\(779\) | −45.0934 | − | 22.2376i | −1.61564 | − | 0.796744i | ||||
\(780\) | −29.3698 | + | 30.0690i | −1.05161 | + | 1.07664i | ||||
\(781\) | −22.1076 | − | 7.50452i | −0.791072 | − | 0.268533i | ||||
\(782\) | −4.64389 | + | 1.48732i | −0.166065 | + | 0.0531865i | ||||
\(783\) | 6.25388 | + | 30.1511i | 0.223495 | + | 1.07751i | ||||
\(784\) | −2.55909 | − | 5.23861i | −0.0913962 | − | 0.187093i | ||||
\(785\) | −18.3697 | + | 4.92214i | −0.655642 | + | 0.175679i | ||||
\(786\) | 33.9116 | + | 18.2863i | 1.20959 | + | 0.652251i | ||||
\(787\) | 1.12661 | − | 0.988013i | 0.0401594 | − | 0.0352189i | −0.639031 | − | 0.769181i | \(-0.720664\pi\) |
0.679190 | + | 0.733962i | \(0.262331\pi\) | |||||||
\(788\) | −5.45564 | + | 0.890258i | −0.194349 | + | 0.0317141i | ||||
\(789\) | −18.3570 | + | 0.851570i | −0.653528 | + | 0.0303167i | ||||
\(790\) | −16.0326 | − | 16.5970i | −0.570413 | − | 0.590495i | ||||
\(791\) | −4.18306 | + | 1.73268i | −0.148732 | + | 0.0616070i | ||||
\(792\) | 32.1737 | + | 22.6634i | 1.14324 | + | 0.805308i | ||||
\(793\) | 40.3859 | + | 16.7284i | 1.43414 | + | 0.594042i | ||||
\(794\) | 18.3584 | − | 7.23489i | 0.651516 | − | 0.256757i | ||||
\(795\) | 11.8316 | + | 37.1719i | 0.419624 | + | 1.31835i | ||||
\(796\) | −22.2338 | − | 0.769464i | −0.788057 | − | 0.0272729i | ||||
\(797\) | 6.22534 | + | 0.408031i | 0.220513 | + | 0.0144532i | 0.175259 | − | 0.984522i | \(-0.443924\pi\) |
0.0452538 | + | 0.998976i | \(0.485590\pi\) | |||||||
\(798\) | 16.9459 | + | 37.7680i | 0.599877 | + | 1.33697i | ||||
\(799\) | −2.62890 | + | 4.55339i | −0.0930038 | + | 0.161087i | ||||
\(800\) | 3.91214 | + | 0.0823044i | 0.138315 | + | 0.00290990i | ||||
\(801\) | 24.2339 | + | 0.925884i | 0.856263 | + | 0.0327145i | ||||
\(802\) | 12.9506 | + | 1.07407i | 0.457301 | + | 0.0379268i | ||||
\(803\) | 23.3574 | − | 11.5186i | 0.824266 | − | 0.406483i | ||||
\(804\) | −31.7238 | − | 10.3543i | −1.11881 | − | 0.365167i | ||||
\(805\) | 18.6728 | + | 55.0084i | 0.658131 | + | 1.93879i | ||||
\(806\) | −2.32874 | + | 15.5987i | −0.0820265 | + | 0.549440i | ||||
\(807\) | −2.07305 | + | 4.74638i | −0.0729749 | + | 0.167081i | ||||
\(808\) | −5.78807 | + | 31.3116i | −0.203624 | + | 1.10154i | ||||
\(809\) | −20.0471 | − | 48.3980i | −0.704819 | − | 1.70158i | −0.712557 | − | 0.701615i | \(-0.752463\pi\) |
0.00773721 | − | 0.999970i | \(-0.497537\pi\) | |||||||
\(810\) | 10.5682 | − | 28.4671i | 0.371327 | − | 1.00023i | ||||
\(811\) | −17.8995 | + | 11.9600i | −0.628535 | + | 0.419974i | −0.828625 | − | 0.559804i | \(-0.810877\pi\) |
0.200090 | + | 0.979778i | \(0.435877\pi\) | |||||||
\(812\) | 34.2960 | + | 3.44260i | 1.20355 | + | 0.120811i | ||||
\(813\) | −2.35265 | − | 13.1333i | −0.0825111 | − | 0.460606i | ||||
\(814\) | 52.5908 | − | 2.53436i | 1.84331 | − | 0.0888291i | ||||
\(815\) | −5.05092 | − | 1.35339i | −0.176926 | − | 0.0474072i | ||||
\(816\) | 1.78812 | − | 2.22332i | 0.0625966 | − | 0.0778317i | ||||
\(817\) | −3.54412 | + | 0.949643i | −0.123993 | + | 0.0332238i | ||||
\(818\) | −2.98537 | + | 0.956139i | −0.104381 | + | 0.0334306i | ||||
\(819\) | 43.8189 | − | 6.98887i | 1.53116 | − | 0.244211i | ||||
\(820\) | 41.2641 | − | 1.27364i | 1.44101 | − | 0.0444776i | ||||
\(821\) | −26.7733 | + | 1.75481i | −0.934393 | + | 0.0612434i | −0.524988 | − | 0.851109i | \(-0.675930\pi\) |
−0.409405 | + | 0.912353i | \(0.634264\pi\) | |||||||
\(822\) | −10.3474 | + | 16.5047i | −0.360906 | + | 0.575667i | ||||
\(823\) | 43.9084 | + | 33.6921i | 1.53055 | + | 1.17443i | 0.925797 | + | 0.378021i | \(0.123395\pi\) |
0.604754 | + | 0.796413i | \(0.293272\pi\) | |||||||
\(824\) | −5.81432 | − | 7.36833i | −0.202552 | − | 0.256688i | ||||
\(825\) | 5.52210 | − | 0.619989i | 0.192255 | − | 0.0215852i | ||||
\(826\) | 25.6326 | + | 11.1406i | 0.891874 | + | 0.387632i | ||||
\(827\) | 2.16268 | − | 10.8725i | 0.0752037 | − | 0.378074i | −0.924793 | − | 0.380469i | \(-0.875762\pi\) |
0.999997 | + | 0.00239516i | \(0.000762403\pi\) | |||||||
\(828\) | 2.91800 | + | 50.1515i | 0.101407 | + | 1.74288i | ||||
\(829\) | 31.2265 | − | 46.7338i | 1.08454 | − | 1.62313i | 0.361429 | − | 0.932400i | \(-0.382289\pi\) |
0.723112 | − | 0.690731i | \(-0.242711\pi\) | |||||||
\(830\) | −6.70388 | − | 37.0399i | −0.232695 | − | 1.28567i | ||||
\(831\) | −15.4516 | + | 25.6205i | −0.536010 | + | 0.888764i | ||||
\(832\) | 9.01688 | + | 39.6760i | 0.312604 | + | 1.37552i | ||||
\(833\) | −0.519833 | + | 0.300126i | −0.0180111 | + | 0.0103987i | ||||
\(834\) | −9.88447 | + | 8.05152i | −0.342271 | + | 0.278801i | ||||
\(835\) | −8.72623 | + | 4.30330i | −0.301984 | + | 0.148922i | ||||
\(836\) | −43.8735 | + | 31.3153i | −1.51740 | + | 1.08306i | ||||
\(837\) | −3.03873 | − | 10.9811i | −0.105034 | − | 0.379562i | ||||
\(838\) | 15.9783 | − | 1.82303i | 0.551962 | − | 0.0629755i | ||||
\(839\) | 1.10161 | + | 1.43565i | 0.0380318 | + | 0.0495640i | 0.811982 | − | 0.583682i | \(-0.198389\pi\) |
−0.773950 | + | 0.633246i | \(0.781722\pi\) | |||||||
\(840\) | −26.8511 | − | 20.8407i | −0.926451 | − | 0.719072i | ||||
\(841\) | −3.72469 | + | 4.85411i | −0.128438 | + | 0.167383i | ||||
\(842\) | −31.7848 | − | 19.0915i | −1.09538 | − | 0.657936i | ||||
\(843\) | 40.0611 | − | 1.85841i | 1.37978 | − | 0.0640070i | ||||
\(844\) | −4.59635 | + | 8.56064i | −0.158213 | + | 0.294669i | ||||
\(845\) | −30.1073 | + | 5.98872i | −1.03572 | + | 0.206018i | ||||
\(846\) | 38.6817 | + | 37.9183i | 1.32990 | + | 1.30366i | ||||
\(847\) | 21.6144 | − | 21.6144i | 0.742681 | − | 0.742681i | ||||
\(848\) | 36.4378 | + | 9.90962i | 1.25128 | + | 0.340298i | ||||
\(849\) | 10.0448 | − | 34.8147i | 0.344736 | − | 1.19484i | ||||
\(850\) | −0.0193914 | − | 0.402394i | −0.000665120 | − | 0.0138020i | ||||
\(851\) | 44.3149 | + | 50.5314i | 1.51909 | + | 1.73220i | ||||
\(852\) | 13.9580 | + | 10.4519i | 0.478195 | + | 0.358075i | ||||
\(853\) | 26.4504 | − | 1.73365i | 0.905644 | − | 0.0593591i | 0.394541 | − | 0.918878i | \(-0.370904\pi\) |
0.511103 | + | 0.859519i | \(0.329237\pi\) | |||||||
\(854\) | −9.73823 | + | 33.9813i | −0.333235 | + | 1.16282i | ||||
\(855\) | 32.0055 | + | 26.5602i | 1.09457 | + | 0.908339i | ||||
\(856\) | 0.594528 | − | 1.24796i | 0.0203205 | − | 0.0426544i | ||||
\(857\) | 10.5563 | + | 13.7573i | 0.360597 | + | 0.469940i | 0.938058 | − | 0.346479i | \(-0.112623\pi\) |
−0.577460 | + | 0.816419i | \(0.695956\pi\) | |||||||
\(858\) | 20.1546 | + | 54.1508i | 0.688067 | + | 1.84868i | ||||
\(859\) | 45.6916 | − | 15.5102i | 1.55898 | − | 0.529202i | 0.596979 | − | 0.802257i | \(-0.296368\pi\) |
0.961998 | + | 0.273055i | \(0.0880342\pi\) | |||||||
\(860\) | 2.20274 | − | 2.05537i | 0.0751128 | − | 0.0700877i | ||||
\(861\) | −35.7685 | − | 24.9005i | −1.21899 | − | 0.848608i | ||||
\(862\) | −19.2304 | − | 13.3361i | −0.654989 | − | 0.454230i | ||||
\(863\) | − | 52.3273i | − | 1.78124i | −0.454748 | − | 0.890620i | \(-0.650271\pi\) | ||
0.454748 | − | 0.890620i | \(-0.349729\pi\) | |||||||
\(864\) | −17.5923 | − | 23.5480i | −0.598504 | − | 0.801120i | ||||
\(865\) | 10.2391i | 0.348139i | ||||||||
\(866\) | 5.48373 | − | 7.90740i | 0.186345 | − | 0.268705i | ||||
\(867\) | 23.9246 | + | 16.6553i | 0.812523 | + | 0.565644i | ||||
\(868\) | −12.7462 | − | 0.441116i | −0.432633 | − | 0.0149725i | ||||
\(869\) | −30.0380 | + | 10.1965i | −1.01897 | + | 0.345893i | ||||
\(870\) | 32.4559 | − | 12.0799i | 1.10036 | − | 0.409547i | ||||
\(871\) | −29.8261 | − | 38.8701i | −1.01062 | − | 1.31706i | ||||
\(872\) | 25.9700 | + | 28.8154i | 0.879456 | + | 0.975814i | ||||
\(873\) | −7.23446 | + | 42.3769i | −0.244849 | + | 1.43424i | ||||
\(874\) | −66.1450 | − | 18.9556i | −2.23739 | − | 0.641182i | ||||
\(875\) | 29.8275 | − | 1.95500i | 1.00835 | − | 0.0660910i | ||||
\(876\) | −19.2540 | + | 2.76560i | −0.650534 | + | 0.0934411i | ||||
\(877\) | 16.5780 | + | 18.9036i | 0.559799 | + | 0.638328i | 0.960632 | − | 0.277823i | \(-0.0896128\pi\) |
−0.400834 | + | 0.916151i | \(0.631279\pi\) | |||||||
\(878\) | 0.877143 | − | 0.0422696i | 0.0296021 | − | 0.00142653i | ||||
\(879\) | −4.43323 | + | 15.3653i | −0.149529 | + | 0.518259i | ||||
\(880\) | 19.7239 | − | 39.6220i | 0.664893 | − | 1.33566i | ||||
\(881\) | −26.4346 | + | 26.4346i | −0.890605 | + | 0.890605i | −0.994580 | − | 0.103975i | \(-0.966844\pi\) |
0.103975 | + | 0.994580i | \(0.466844\pi\) | |||||||
\(882\) | 1.65996 | + | 5.95697i | 0.0558939 | + | 0.200582i | ||||
\(883\) | 14.8699 | − | 2.95781i | 0.500413 | − | 0.0995384i | 0.0615713 | − | 0.998103i | \(-0.480389\pi\) |
0.438842 | + | 0.898564i | \(0.355389\pi\) | |||||||
\(884\) | 4.01086 | − | 1.20850i | 0.134900 | − | 0.0406463i | ||||
\(885\) | 28.0507 | − | 1.30125i | 0.942915 | − | 0.0437412i | ||||
\(886\) | −18.3260 | + | 30.5104i | −0.615675 | + | 1.02502i | ||||
\(887\) | 16.8633 | − | 21.9767i | 0.566215 | − | 0.737906i | −0.419234 | − | 0.907878i | \(-0.637701\pi\) |
0.985449 | + | 0.169972i | \(0.0543679\pi\) | |||||||
\(888\) | −37.9287 | − | 10.3883i | −1.27280 | − | 0.348609i | ||||
\(889\) | 22.0340 | + | 28.7152i | 0.738996 | + | 0.963078i | ||||
\(890\) | −3.09179 | − | 27.0987i | −0.103637 | − | 0.908349i | ||||
\(891\) | −29.1917 | − | 29.8366i | −0.977958 | − | 0.999563i | ||||
\(892\) | −6.24001 | + | 37.3606i | −0.208931 | + | 1.25092i | ||||
\(893\) | −66.5403 | + | 32.8140i | −2.22668 | + | 1.09808i | ||||
\(894\) | 3.02719 | + | 3.71634i | 0.101244 | + | 0.124293i | ||||
\(895\) | −3.11317 | + | 1.79739i | −0.104062 | + | 0.0600801i | ||||
\(896\) | −31.0509 | + | 10.8816i | −1.03734 | + | 0.363529i | ||||
\(897\) | −38.0910 | + | 63.1592i | −1.27182 | + | 2.10882i | ||||
\(898\) | 26.3021 | − | 4.76045i | 0.877714 | − | 0.158858i | ||||
\(899\) | 7.21927 | − | 10.8044i | 0.240776 | − | 0.360347i | ||||
\(900\) | −4.06457 | − | 0.839519i | −0.135486 | − | 0.0279840i | ||||
\(901\) | 0.758451 | − | 3.81299i | 0.0252677 | − | 0.127029i | ||||
\(902\) | 22.6211 | − | 52.0473i | 0.753202 | − | 1.73299i | ||||
\(903\) | −3.16063 | + | 0.354857i | −0.105179 | + | 0.0118089i | ||||
\(904\) | 1.19728 | + | 4.23764i | 0.0398210 | + | 0.140942i | ||||
\(905\) | −0.233859 | − | 0.179446i | −0.00777374 | − | 0.00596500i | ||||
\(906\) | 17.7448 | + | 11.1249i | 0.589533 | + | 0.369599i | ||||
\(907\) | −37.1457 | + | 2.43466i | −1.23340 | + | 0.0808414i | −0.668118 | − | 0.744055i | \(-0.732900\pi\) |
−0.565283 | + | 0.824897i | \(0.691233\pi\) | |||||||
\(908\) | −7.65215 | + | 8.13957i | −0.253945 | + | 0.270121i | ||||
\(909\) | 12.0692 | − | 31.5434i | 0.400311 | − | 1.04623i | ||||
\(910\) | −15.2213 | − | 47.5257i | −0.504580 | − | 1.57546i | ||||
\(911\) | −11.4953 | + | 3.08015i | −0.380856 | + | 0.102050i | −0.444168 | − | 0.895944i | \(-0.646501\pi\) |
0.0633115 | + | 0.997994i | \(0.479834\pi\) | |||||||
\(912\) | 38.4090 | − | 12.0675i | 1.27185 | − | 0.399593i | ||||
\(913\) | −49.9809 | − | 13.3923i | −1.65413 | − | 0.443222i | ||||
\(914\) | 0.282188 | + | 5.85573i | 0.00933395 | + | 0.193690i | ||||
\(915\) | 6.26250 | + | 34.9595i | 0.207032 | + | 1.15573i | ||||
\(916\) | −12.8488 | − | 15.7162i | −0.424538 | − | 0.519277i | ||||
\(917\) | −38.0336 | + | 25.4132i | −1.25598 | + | 0.839219i | ||||
\(918\) | −2.29336 | + | 1.97448i | −0.0756921 | + | 0.0651675i | ||||
\(919\) | 14.0991 | + | 34.0382i | 0.465086 | + | 1.12282i | 0.966283 | + | 0.257483i | \(0.0828932\pi\) |
−0.501197 | + | 0.865333i | \(0.667107\pi\) | |||||||
\(920\) | 55.2579 | − | 11.7725i | 1.82180 | − | 0.388128i | ||||
\(921\) | −2.86094 | + | 6.55032i | −0.0942713 | + | 0.215840i | ||||
\(922\) | −4.71406 | − | 0.703768i | −0.155249 | − | 0.0231774i | ||||
\(923\) | 8.22938 | + | 24.2430i | 0.270873 | + | 0.797967i | ||||
\(924\) | −41.6597 | + | 21.1570i | −1.37050 | + | 0.696015i | ||||
\(925\) | −4.98008 | + | 2.45590i | −0.163744 | + | 0.0807496i | ||||
\(926\) | −0.821090 | + | 9.90026i | −0.0269827 | + | 0.325343i | ||||
\(927\) | 4.64493 | + | 8.80542i | 0.152560 | + | 0.289208i | ||||
\(928\) | 7.23012 | − | 32.7340i | 0.237340 | − | 1.07455i | ||||
\(929\) | 14.6313 | − | 25.3421i | 0.480036 | − | 0.831447i | −0.519702 | − | 0.854348i | \(-0.673957\pi\) |
0.999738 | + | 0.0229008i | \(0.00729020\pi\) | |||||||
\(930\) | −11.6911 | + | 5.24560i | −0.383366 | + | 0.172010i | ||||
\(931\) | −8.45185 | − | 0.553963i | −0.276998 | − | 0.0181554i | ||||
\(932\) | 8.88466 | + | 9.52167i | 0.291027 | + | 0.311893i | ||||
\(933\) | −16.9110 | − | 53.1300i | −0.553642 | − | 1.73940i | ||||
\(934\) | 16.3562 | + | 41.5036i | 0.535192 | + | 1.35804i | ||||
\(935\) | −4.20989 | − | 1.74379i | −0.137678 | − | 0.0570281i | ||||
\(936\) | −1.76118 | − | 43.1198i | −0.0575660 | − | 1.40942i | ||||
\(937\) | 11.3776 | − | 4.71274i | 0.371689 | − | 0.153959i | −0.189017 | − | 0.981974i | \(-0.560530\pi\) |
0.560706 | + | 0.828015i | \(0.310530\pi\) | |||||||
\(938\) | 28.4959 | − | 27.5268i | 0.930424 | − | 0.898781i | ||||
\(939\) | −22.5120 | + | 1.04431i | −0.734650 | + | 0.0340799i | ||||
\(940\) | 35.5763 | − | 49.4512i | 1.16037 | − | 1.61292i | ||||
\(941\) | 0.242844 | − | 0.212969i | 0.00791649 | − | 0.00694258i | −0.655378 | − | 0.755301i | \(-0.727491\pi\) |
0.663295 | + | 0.748358i | \(0.269158\pi\) | |||||||
\(942\) | 9.26751 | − | 17.1865i | 0.301952 | − | 0.559965i | ||||
\(943\) | 69.9742 | − | 18.7495i | 2.27867 | − | 0.610568i | ||||
\(944\) | 13.6791 | − | 23.4897i | 0.445217 | − | 0.764525i | ||||
\(945\) | 23.9912 | + | 26.9101i | 0.780434 | + | 0.875385i | ||||
\(946\) | −1.26320 | − | 3.94411i | −0.0410702 | − | 0.128234i | ||||
\(947\) | −24.0632 | − | 8.16835i | −0.781949 | − | 0.265436i | −0.0982129 | − | 0.995165i | \(-0.531313\pi\) |
−0.683736 | + | 0.729730i | \(0.739646\pi\) | |||||||
\(948\) | 23.6911 | − | 0.278669i | 0.769450 | − | 0.00905075i | ||||
\(949\) | −25.6135 | − | 12.6312i | −0.831450 | − | 0.410026i | ||||
\(950\) | 2.92705 | − | 4.87316i | 0.0949662 | − | 0.158106i | ||||
\(951\) | 3.26074 | − | 21.5759i | 0.105737 | − | 0.699648i | ||||
\(952\) | 1.33863 | + | 3.11173i | 0.0433854 | + | 0.100852i | ||||
\(953\) | 25.2501 | + | 10.4589i | 0.817930 | + | 0.338798i | 0.752113 | − | 0.659034i | \(-0.229035\pi\) |
0.0658171 | + | 0.997832i | \(0.479035\pi\) | |||||||
\(954\) | −36.0962 | − | 17.3557i | −1.16866 | − | 0.561910i | ||||
\(955\) | −2.30293 | − | 0.458081i | −0.0745210 | − | 0.0148231i | ||||
\(956\) | 37.1085 | − | 3.58485i | 1.20017 | − | 0.115942i | ||||
\(957\) | 4.01995 | − | 47.4354i | 0.129946 | − | 1.53337i | ||||
\(958\) | 4.89580 | − | 13.6426i | 0.158176 | − | 0.440774i | ||||
\(959\) | −11.5640 | − | 20.0294i | −0.373420 | − | 0.646783i | ||||
\(960\) | −23.1870 | + | 23.5621i | −0.748358 | + | 0.760465i | ||||
\(961\) | 13.0960 | − | 22.6829i | 0.422450 | − | 0.731705i | ||||
\(962\) | −37.3125 | − | 44.0613i | −1.20300 | − | 1.42059i | ||||
\(963\) | −0.860522 | + | 1.18711i | −0.0277299 | + | 0.0382540i | ||||
\(964\) | 19.2310 | − | 13.7264i | 0.619389 | − | 0.442098i | ||||
\(965\) | −9.02623 | + | 10.2924i | −0.290565 | + | 0.331325i | ||||
\(966\) | −54.2367 | − | 24.8144i | −1.74504 | − | 0.798389i | ||||
\(967\) | −0.998115 | − | 7.58144i | −0.0320972 | − | 0.243803i | 0.967874 | − | 0.251437i | \(-0.0809032\pi\) |
−0.999971 | + | 0.00763450i | \(0.997570\pi\) | |||||||
\(968\) | −18.4160 | − | 23.3381i | −0.591913 | − | 0.750115i | ||||
\(969\) | −1.51280 | − | 3.85903i | −0.0485982 | − | 0.123970i | ||||
\(970\) | 48.3412 | + | 0.836241i | 1.55214 | + | 0.0268501i | ||||
\(971\) | 24.9570 | − | 16.6757i | 0.800908 | − | 0.535149i | −0.0864365 | − | 0.996257i | \(-0.527548\pi\) |
0.887344 | + | 0.461108i | \(0.152548\pi\) | |||||||
\(972\) | 13.8126 | + | 27.9502i | 0.443039 | + | 0.896502i | ||||
\(973\) | −2.95290 | − | 14.8452i | −0.0946657 | − | 0.475917i | ||||
\(974\) | −14.9944 | − | 3.25316i | −0.480453 | − | 0.104238i | ||||
\(975\) | −4.22572 | − | 4.39025i | −0.135331 | − | 0.140601i | ||||
\(976\) | 31.7132 | + | 13.2752i | 1.01512 | + | 0.424927i | ||||
\(977\) | 8.46562 | − | 31.5941i | 0.270839 | − | 1.01079i | −0.687740 | − | 0.725957i | \(-0.741397\pi\) |
0.958579 | − | 0.284828i | \(-0.0919364\pi\) | |||||||
\(978\) | 4.56959 | − | 2.81838i | 0.146119 | − | 0.0901218i | ||||
\(979\) | −35.5030 | − | 12.0517i | −1.13468 | − | 0.385173i | ||||
\(980\) | 6.34017 | − | 2.85842i | 0.202529 | − | 0.0913089i | ||||
\(981\) | −21.5359 | − | 35.0582i | −0.687588 | − | 1.11932i | ||||
\(982\) | 38.7239 | + | 11.0974i | 1.23573 | + | 0.354131i | ||||
\(983\) | −3.53822 | + | 26.8755i | −0.112852 | + | 0.857195i | 0.837592 | + | 0.546297i | \(0.183963\pi\) |
−0.950443 | + | 0.310898i | \(0.899370\pi\) | |||||||
\(984\) | −28.1237 | + | 31.7131i | −0.896550 | + | 1.01098i | ||||
\(985\) | −0.860680 | − | 6.53751i | −0.0274235 | − | 0.208303i | ||||
\(986\) | −3.41351 | − | 0.509607i | −0.108708 | − | 0.0162292i | ||||
\(987\) | −61.2812 | + | 19.5055i | −1.95060 | + | 0.620867i | ||||
\(988\) | 56.5321 | + | 17.2643i | 1.79852 | + | 0.549250i | ||||
\(989\) | 2.93708 | − | 4.39565i | 0.0933936 | − | 0.139773i | ||||
\(990\) | −28.2056 | + | 37.5267i | −0.896432 | + | 1.19268i | ||||
\(991\) | 26.5285 | 0.842704 | 0.421352 | − | 0.906897i | \(-0.361556\pi\) | ||||
0.421352 | + | 0.906897i | \(0.361556\pi\) | |||||||
\(992\) | −1.87736 | + | 12.2611i | −0.0596061 | + | 0.389290i | ||||
\(993\) | −21.0893 | + | 34.9683i | −0.669247 | + | 1.10969i | ||||
\(994\) | −18.7235 | + | 8.83417i | −0.593874 | + | 0.280203i | ||||
\(995\) | 1.73566 | − | 26.4811i | 0.0550242 | − | 0.839506i | ||||
\(996\) | 32.3846 | + | 21.0920i | 1.02615 | + | 0.668326i | ||||
\(997\) | 24.3472 | − | 27.7626i | 0.771083 | − | 0.879251i | −0.224371 | − | 0.974504i | \(-0.572033\pi\) |
0.995453 | + | 0.0952527i | \(0.0303659\pi\) | |||||||
\(998\) | −24.8095 | + | 31.1999i | −0.785332 | + | 0.987615i | ||||
\(999\) | 37.5590 | + | 18.1422i | 1.18831 | + | 0.573993i |
(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 | 576.2.bl.a.155.45 | yes | 1504 | |
9.5 | odd | 6 | inner | 576.2.bl.a.347.11 | yes | 1504 | |
64.19 | odd | 16 | inner | 576.2.bl.a.83.11 | ✓ | 1504 | |
576.275 | even | 48 | inner | 576.2.bl.a.275.45 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bl.a.83.11 | ✓ | 1504 | 64.19 | odd | 16 | inner | |
576.2.bl.a.155.45 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bl.a.275.45 | yes | 1504 | 576.275 | even | 48 | inner | |
576.2.bl.a.347.11 | yes | 1504 | 9.5 | odd | 6 | inner |