Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [983,2,Mod(2,983)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(983, base_ring=CyclotomicField(982))
chi = DirichletCharacter(H, H._module([674]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("983.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 983 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 983.c (of order \(491\), degree \(490\), 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: | \(7.84929451869\) |
Analytic rank: | \(0\) |
Dimension: | \(39690\) |
Relative dimension: | \(81\) over \(\Q(\zeta_{491})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{491}]$ |
Embedding invariants
Embedding label | 2.8 | ||
Character | \(\chi\) | \(=\) | 983.2 |
Dual form | 983.2.c.a.492.8 |
$q$-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 \(\left(\mathbb{Z}/983\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{337}{491}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.752960 | + | 2.24863i | −0.532423 | + | 1.59002i | 0.250639 | + | 0.968081i | \(0.419359\pi\) |
−0.783062 | + | 0.621944i | \(0.786343\pi\) | |||||||
\(3\) | −1.39225 | − | 0.782183i | −0.803813 | − | 0.451594i | 0.0327504 | − | 0.999464i | \(-0.489573\pi\) |
−0.836564 | + | 0.547870i | \(0.815439\pi\) | |||||||
\(4\) | −2.89269 | − | 2.18189i | −1.44635 | − | 1.09095i | ||||
\(5\) | 0.987618 | − | 1.48965i | 0.441676 | − | 0.666193i | −0.543170 | − | 0.839623i | \(-0.682776\pi\) |
0.984846 | + | 0.173429i | \(0.0554848\pi\) | |||||||
\(6\) | 2.80715 | − | 2.54170i | 1.14601 | − | 1.03764i | ||||
\(7\) | −0.299880 | + | 0.661733i | −0.113344 | + | 0.250111i | −0.958883 | − | 0.283803i | \(-0.908404\pi\) |
0.845538 | + | 0.533915i | \(0.179280\pi\) | |||||||
\(8\) | 3.17392 | − | 2.17814i | 1.12215 | − | 0.770087i | ||||
\(9\) | −0.233998 | − | 0.384191i | −0.0779993 | − | 0.128064i | ||||
\(10\) | 2.60605 | + | 3.34244i | 0.824105 | + | 1.05697i | ||||
\(11\) | −4.39578 | − | 0.281642i | −1.32538 | − | 0.0849182i | −0.614881 | − | 0.788620i | \(-0.710796\pi\) |
−0.710496 | + | 0.703702i | \(0.751529\pi\) | |||||||
\(12\) | 2.32069 | + | 5.30035i | 0.669926 | + | 1.53008i | ||||
\(13\) | −4.39025 | − | 5.07258i | −1.21764 | − | 1.40688i | −0.886136 | − | 0.463425i | \(-0.846621\pi\) |
−0.331500 | − | 0.943455i | \(-0.607555\pi\) | |||||||
\(14\) | −1.26220 | − | 1.17258i | −0.337336 | − | 0.313385i | ||||
\(15\) | −2.54019 | + | 1.30146i | −0.655874 | + | 0.336037i | ||||
\(16\) | 0.517000 | + | 1.80930i | 0.129250 | + | 0.452325i | ||||
\(17\) | 1.19195 | − | 0.526432i | 0.289091 | − | 0.127678i | −0.254386 | − | 0.967103i | \(-0.581873\pi\) |
0.543477 | + | 0.839424i | \(0.317108\pi\) | |||||||
\(18\) | 1.04010 | − | 0.236895i | 0.245153 | − | 0.0558367i | ||||
\(19\) | 3.98092 | + | 3.04288i | 0.913286 | + | 0.698085i | 0.953592 | − | 0.301102i | \(-0.0973545\pi\) |
−0.0403056 | + | 0.999187i | \(0.512833\pi\) | |||||||
\(20\) | −6.10714 | + | 2.15423i | −1.36560 | + | 0.481700i | ||||
\(21\) | 0.935104 | − | 0.686733i | 0.204056 | − | 0.149857i | ||||
\(22\) | 3.94315 | − | 9.67243i | 0.840683 | − | 2.06217i | ||||
\(23\) | 0.588907 | + | 5.55746i | 0.122796 | + | 1.15881i | 0.869596 | + | 0.493763i | \(0.164379\pi\) |
−0.746801 | + | 0.665048i | \(0.768411\pi\) | |||||||
\(24\) | −6.12257 | + | 0.549913i | −1.24977 | + | 0.112251i | ||||
\(25\) | 0.702940 | + | 1.66309i | 0.140588 | + | 0.332617i | ||||
\(26\) | 14.7121 | − | 6.05262i | 2.88527 | − | 1.18702i | ||||
\(27\) | 0.193831 | + | 5.50572i | 0.0373029 | + | 1.05958i | ||||
\(28\) | 2.31129 | − | 1.25988i | 0.436793 | − | 0.238095i | ||||
\(29\) | −3.23884 | + | 4.68734i | −0.601438 | + | 0.870417i | −0.998885 | − | 0.0472081i | \(-0.984968\pi\) |
0.397447 | + | 0.917625i | \(0.369896\pi\) | |||||||
\(30\) | −1.01386 | − | 6.69191i | −0.185104 | − | 1.22177i | ||||
\(31\) | 1.82812 | + | 2.71946i | 0.328340 | + | 0.488430i | 0.957335 | − | 0.288979i | \(-0.0933157\pi\) |
−0.628996 | + | 0.777409i | \(0.716534\pi\) | |||||||
\(32\) | 3.23338 | + | 0.144915i | 0.571587 | + | 0.0256176i | ||||
\(33\) | 5.89971 | + | 3.83042i | 1.02701 | + | 0.666790i | ||||
\(34\) | 0.286261 | + | 3.07664i | 0.0490934 | + | 0.527640i | ||||
\(35\) | 0.689585 | + | 1.10026i | 0.116561 | + | 0.185977i | ||||
\(36\) | −0.161381 | + | 1.62190i | −0.0268968 | + | 0.270317i | ||||
\(37\) | 4.26298 | − | 1.05741i | 0.700829 | − | 0.173837i | 0.125903 | − | 0.992043i | \(-0.459817\pi\) |
0.574926 | + | 0.818206i | \(0.305031\pi\) | |||||||
\(38\) | −9.83980 | + | 6.66047i | −1.59623 | + | 1.08047i | ||||
\(39\) | 2.14462 | + | 10.4963i | 0.343414 | + | 1.68075i | ||||
\(40\) | −0.110048 | − | 6.87920i | −0.0174002 | − | 1.08770i | ||||
\(41\) | 3.39662 | + | 0.305075i | 0.530463 | + | 0.0476448i | 0.351458 | − | 0.936203i | \(-0.385686\pi\) |
0.179004 | + | 0.983848i | \(0.442712\pi\) | |||||||
\(42\) | 0.840115 | + | 2.61979i | 0.129633 | + | 0.404242i | ||||
\(43\) | 4.06614 | + | 5.57403i | 0.620081 | + | 0.850032i | 0.997094 | − | 0.0761759i | \(-0.0242710\pi\) |
−0.377014 | + | 0.926208i | \(0.623049\pi\) | |||||||
\(44\) | 12.1011 | + | 10.4058i | 1.82431 | + | 1.56874i | ||||
\(45\) | −0.803412 | − | 0.0308583i | −0.119766 | − | 0.00460008i | ||||
\(46\) | −12.9401 | − | 2.86031i | −1.90792 | − | 0.421730i | ||||
\(47\) | −3.46304 | − | 11.5574i | −0.505136 | − | 1.68582i | −0.707670 | − | 0.706543i | \(-0.750254\pi\) |
0.202534 | − | 0.979275i | \(-0.435082\pi\) | |||||||
\(48\) | 0.695415 | − | 2.92338i | 0.100375 | − | 0.421953i | ||||
\(49\) | 4.26676 | + | 4.86661i | 0.609537 | + | 0.695230i | ||||
\(50\) | −4.26896 | + | 0.328417i | −0.603722 | + | 0.0464452i | ||||
\(51\) | −2.07125 | − | 0.199402i | −0.290034 | − | 0.0279219i | ||||
\(52\) | 1.63180 | + | 24.2525i | 0.226290 | + | 3.36321i | ||||
\(53\) | −4.46698 | + | 4.09688i | −0.613587 | + | 0.562750i | −0.921360 | − | 0.388709i | \(-0.872921\pi\) |
0.307774 | + | 0.951460i | \(0.400416\pi\) | |||||||
\(54\) | −12.5263 | − | 3.70973i | −1.70461 | − | 0.504830i | ||||
\(55\) | −4.76090 | + | 6.27003i | −0.641959 | + | 0.845451i | ||||
\(56\) | 0.489548 | + | 2.75347i | 0.0654186 | + | 0.367947i | ||||
\(57\) | −3.16233 | − | 7.35025i | −0.418861 | − | 0.973565i | ||||
\(58\) | −8.10139 | − | 10.8124i | −1.06376 | − | 1.41973i | ||||
\(59\) | 11.8166 | + | 0.909068i | 1.53839 | + | 0.118351i | 0.818000 | − | 0.575219i | \(-0.195083\pi\) |
0.720390 | + | 0.693569i | \(0.243963\pi\) | |||||||
\(60\) | 10.1876 | + | 1.77769i | 1.31522 | + | 0.229499i | ||||
\(61\) | −6.12560 | − | 5.19964i | −0.784303 | − | 0.665746i | 0.162806 | − | 0.986658i | \(-0.447945\pi\) |
−0.947109 | + | 0.320912i | \(0.896011\pi\) | |||||||
\(62\) | −7.49158 | + | 2.06312i | −0.951431 | + | 0.262017i | ||||
\(63\) | 0.324403 | − | 0.0396327i | 0.0408710 | − | 0.00499325i | ||||
\(64\) | −4.11403 | + | 10.6732i | −0.514254 | + | 1.33415i | ||||
\(65\) | −11.8923 | + | 1.53018i | −1.47506 | + | 0.189796i | ||||
\(66\) | −13.0555 | + | 10.3821i | −1.60702 | + | 1.27795i | ||||
\(67\) | −4.34650 | + | 3.73759i | −0.531010 | + | 0.456619i | −0.876223 | − | 0.481905i | \(-0.839945\pi\) |
0.345213 | + | 0.938524i | \(0.387807\pi\) | |||||||
\(68\) | −4.59656 | − | 1.07791i | −0.557415 | − | 0.130715i | ||||
\(69\) | 3.52705 | − | 8.19798i | 0.424607 | − | 0.986921i | ||||
\(70\) | −2.99331 | + | 0.722175i | −0.357768 | + | 0.0863164i | ||||
\(71\) | −2.00995 | + | 1.64080i | −0.238537 | + | 0.194727i | −0.744110 | − | 0.668057i | \(-0.767126\pi\) |
0.505573 | + | 0.862784i | \(0.331281\pi\) | |||||||
\(72\) | −1.57951 | − | 0.709712i | −0.186147 | − | 0.0836403i | ||||
\(73\) | 12.1241 | + | 8.66720i | 1.41901 | + | 1.01442i | 0.994017 | + | 0.109224i | \(0.0348365\pi\) |
0.424996 | + | 0.905195i | \(0.360275\pi\) | |||||||
\(74\) | −0.832126 | + | 10.3821i | −0.0967327 | + | 1.20689i | ||||
\(75\) | 0.322173 | − | 2.86525i | 0.0372014 | − | 0.330851i | ||||
\(76\) | −4.87633 | − | 17.4881i | −0.559353 | − | 2.00602i | ||||
\(77\) | 1.50458 | − | 2.82437i | 0.171463 | − | 0.321867i | ||||
\(78\) | −25.2170 | − | 3.08080i | −2.85527 | − | 0.348831i | ||||
\(79\) | 6.03316 | − | 0.894318i | 0.678783 | − | 0.100619i | 0.201661 | − | 0.979455i | \(-0.435366\pi\) |
0.477122 | + | 0.878837i | \(0.341680\pi\) | |||||||
\(80\) | 3.20583 | + | 1.01675i | 0.358423 | + | 0.113676i | ||||
\(81\) | 3.41742 | − | 6.61783i | 0.379713 | − | 0.735315i | ||||
\(82\) | −3.24352 | + | 7.40804i | −0.358187 | + | 0.818082i | ||||
\(83\) | −11.8021 | + | 3.66016i | −1.29545 | + | 0.401754i | −0.865413 | − | 0.501059i | \(-0.832944\pi\) |
−0.430032 | + | 0.902813i | \(0.641498\pi\) | |||||||
\(84\) | −4.20334 | − | 0.0537919i | −0.458622 | − | 0.00586918i | ||||
\(85\) | 0.392991 | − | 2.29551i | 0.0426259 | − | 0.248983i | ||||
\(86\) | −15.5956 | + | 4.94624i | −1.68172 | + | 0.533367i | ||||
\(87\) | 8.17563 | − | 3.99256i | 0.876519 | − | 0.428047i | ||||
\(88\) | −14.5653 | + | 8.68069i | −1.55267 | + | 0.925365i | ||||
\(89\) | −6.34397 | − | 4.17680i | −0.672459 | − | 0.442740i | 0.167150 | − | 0.985932i | \(-0.446544\pi\) |
−0.839609 | + | 0.543191i | \(0.817216\pi\) | |||||||
\(90\) | 0.674326 | − | 1.78334i | 0.0710802 | − | 0.187981i | ||||
\(91\) | 4.67324 | − | 1.38401i | 0.489889 | − | 0.145083i | ||||
\(92\) | 10.4223 | − | 17.3609i | 1.08660 | − | 1.81000i | ||||
\(93\) | −0.418071 | − | 5.21608i | −0.0433520 | − | 0.540883i | ||||
\(94\) | 28.5959 | + | 0.915145i | 2.94944 | + | 0.0943900i | ||||
\(95\) | 8.46447 | − | 2.92499i | 0.868437 | − | 0.300098i | ||||
\(96\) | −4.38831 | − | 2.73086i | −0.447880 | − | 0.278717i | ||||
\(97\) | 1.33252 | − | 0.0682669i | 0.135296 | − | 0.00693145i | 0.0166012 | − | 0.999862i | \(-0.494715\pi\) |
0.118695 | + | 0.992931i | \(0.462129\pi\) | |||||||
\(98\) | −14.1559 | + | 5.93001i | −1.42996 | + | 0.599021i | ||||
\(99\) | 0.920398 | + | 1.75472i | 0.0925035 | + | 0.176356i | ||||
\(100\) | 1.59529 | − | 6.34454i | 0.159529 | − | 0.634454i | ||||
\(101\) | −7.61627 | − | 5.51867i | −0.757847 | − | 0.549128i | 0.139622 | − | 0.990205i | \(-0.455411\pi\) |
−0.897469 | + | 0.441077i | \(0.854597\pi\) | |||||||
\(102\) | 2.00795 | − | 4.50735i | 0.198817 | − | 0.446294i | ||||
\(103\) | −2.72578 | − | 1.06070i | −0.268579 | − | 0.104513i | 0.224571 | − | 0.974458i | \(-0.427902\pi\) |
−0.493150 | + | 0.869944i | \(0.664155\pi\) | |||||||
\(104\) | −24.9831 | − | 6.53738i | −2.44979 | − | 0.641043i | ||||
\(105\) | −0.0994689 | − | 2.07121i | −0.00970717 | − | 0.202129i | ||||
\(106\) | −5.84894 | − | 13.1294i | −0.568099 | − | 1.27524i | ||||
\(107\) | −3.79873 | + | 18.0038i | −0.367238 | + | 1.74049i | 0.263652 | + | 0.964618i | \(0.415073\pi\) |
−0.630890 | + | 0.775872i | \(0.717310\pi\) | |||||||
\(108\) | 11.4522 | − | 16.3492i | 1.10199 | − | 1.57321i | ||||
\(109\) | −7.15903 | − | 8.48881i | −0.685710 | − | 0.813080i | 0.304522 | − | 0.952505i | \(-0.401503\pi\) |
−0.990233 | + | 0.139425i | \(0.955475\pi\) | |||||||
\(110\) | −10.5142 | − | 15.4266i | −1.00249 | − | 1.47087i | ||||
\(111\) | −6.76220 | − | 1.86226i | −0.641839 | − | 0.176758i | ||||
\(112\) | −1.35231 | − | 0.200458i | −0.127781 | − | 0.0189415i | ||||
\(113\) | 4.80369 | + | 2.34587i | 0.451893 | + | 0.220681i | 0.650666 | − | 0.759364i | \(-0.274490\pi\) |
−0.198773 | + | 0.980046i | \(0.563696\pi\) | |||||||
\(114\) | 18.9091 | − | 1.57647i | 1.77100 | − | 0.147650i | ||||
\(115\) | 8.86031 | + | 4.61138i | 0.826228 | + | 0.430014i | ||||
\(116\) | 19.5963 | − | 6.49220i | 1.81947 | − | 0.602786i | ||||
\(117\) | −0.921530 | + | 2.87367i | −0.0851954 | + | 0.265671i | ||||
\(118\) | −10.9416 | + | 25.8867i | −1.00725 | + | 2.38306i | ||||
\(119\) | −0.00908549 | + | 0.946620i | −0.000832866 | + | 0.0867765i | ||||
\(120\) | −5.22759 | + | 9.66362i | −0.477211 | + | 0.882164i | ||||
\(121\) | 8.33348 | + | 1.07227i | 0.757589 | + | 0.0974792i | ||||
\(122\) | 16.3044 | − | 9.85911i | 1.47613 | − | 0.892602i | ||||
\(123\) | −4.49030 | − | 3.08152i | −0.404877 | − | 0.277851i | ||||
\(124\) | 0.645401 | − | 11.8553i | 0.0579587 | − | 1.06464i | ||||
\(125\) | 11.9548 | + | 2.24405i | 1.06927 | + | 0.200714i | ||||
\(126\) | −0.155143 | + | 0.759306i | −0.0138213 | + | 0.0676443i | ||||
\(127\) | −2.32075 | − | 5.59014i | −0.205934 | − | 0.496045i | 0.786680 | − | 0.617360i | \(-0.211798\pi\) |
−0.992614 | + | 0.121315i | \(0.961289\pi\) | |||||||
\(128\) | −15.9141 | − | 13.1619i | −1.40662 | − | 1.16335i | ||||
\(129\) | −1.30115 | − | 10.9409i | −0.114560 | − | 0.963291i | ||||
\(130\) | 5.51359 | − | 27.8935i | 0.483574 | − | 2.44642i | ||||
\(131\) | 16.6274 | + | 8.51906i | 1.45275 | + | 0.744314i | 0.989852 | − | 0.142100i | \(-0.0453853\pi\) |
0.462894 | + | 0.886414i | \(0.346811\pi\) | |||||||
\(132\) | −8.70845 | − | 23.9528i | −0.757973 | − | 2.08482i | ||||
\(133\) | −3.20738 | + | 1.72181i | −0.278115 | + | 0.149300i | ||||
\(134\) | −5.13172 | − | 12.5880i | −0.443314 | − | 1.08743i | ||||
\(135\) | 8.39304 | + | 5.14880i | 0.722358 | + | 0.443138i | ||||
\(136\) | 2.63651 | − | 4.26708i | 0.226079 | − | 0.365899i | ||||
\(137\) | 5.79006 | + | 10.2292i | 0.494678 | + | 0.873942i | 0.999940 | + | 0.0109755i | \(0.00349367\pi\) |
−0.505262 | + | 0.862966i | \(0.668604\pi\) | |||||||
\(138\) | 15.7785 | + | 14.1038i | 1.34316 | + | 1.20060i | ||||
\(139\) | 10.2271 | − | 19.4978i | 0.867453 | − | 1.65378i | 0.116731 | − | 0.993164i | \(-0.462758\pi\) |
0.750722 | − | 0.660619i | \(-0.229706\pi\) | |||||||
\(140\) | 0.405889 | − | 4.68731i | 0.0343039 | − | 0.396150i | ||||
\(141\) | −4.21860 | + | 18.7994i | −0.355270 | + | 1.58320i | ||||
\(142\) | −2.17614 | − | 5.75510i | −0.182618 | − | 0.482957i | ||||
\(143\) | 17.8699 | + | 23.5344i | 1.49436 | + | 1.96805i | ||||
\(144\) | 0.574140 | − | 0.621999i | 0.0478450 | − | 0.0518333i | ||||
\(145\) | 3.78377 | + | 9.45406i | 0.314225 | + | 0.785117i | ||||
\(146\) | −28.6183 | + | 20.7365i | −2.36847 | + | 1.71617i | ||||
\(147\) | −2.13379 | − | 10.1129i | −0.175992 | − | 0.834098i | ||||
\(148\) | −14.6386 | − | 6.24261i | −1.20329 | − | 0.513139i | ||||
\(149\) | 2.50013 | + | 9.68075i | 0.204818 | + | 0.793078i | 0.985716 | + | 0.168419i | \(0.0538661\pi\) |
−0.780897 | + | 0.624659i | \(0.785238\pi\) | |||||||
\(150\) | 6.20032 | + | 2.88187i | 0.506254 | + | 0.235304i | ||||
\(151\) | 7.12173 | − | 2.56347i | 0.579558 | − | 0.208612i | −0.0324363 | − | 0.999474i | \(-0.510327\pi\) |
0.611995 | + | 0.790862i | \(0.290367\pi\) | |||||||
\(152\) | 19.2629 | + | 0.986871i | 1.56243 | + | 0.0800458i | ||||
\(153\) | −0.481165 | − | 0.334753i | −0.0388998 | − | 0.0270632i | ||||
\(154\) | 5.21809 | + | 5.50989i | 0.420486 | + | 0.443999i | ||||
\(155\) | 5.85654 | − | 0.0374727i | 0.470409 | − | 0.00300988i | ||||
\(156\) | 16.6980 | − | 35.0417i | 1.33691 | − | 2.80558i | ||||
\(157\) | −6.72794 | − | 7.28877i | −0.536948 | − | 0.581707i | 0.406323 | − | 0.913729i | \(-0.366811\pi\) |
−0.943271 | + | 0.332023i | \(0.892269\pi\) | |||||||
\(158\) | −2.53173 | + | 14.2397i | −0.201414 | + | 1.13285i | ||||
\(159\) | 9.42364 | − | 2.20987i | 0.747344 | − | 0.175254i | ||||
\(160\) | 3.40922 | − | 4.67350i | 0.269523 | − | 0.369473i | ||||
\(161\) | −3.85416 | − | 1.27687i | −0.303750 | − | 0.100632i | ||||
\(162\) | 12.3079 | + | 12.6675i | 0.967000 | + | 0.995251i | ||||
\(163\) | −16.7510 | + | 4.26896i | −1.31204 | + | 0.334371i | −0.837777 | − | 0.546012i | \(-0.816145\pi\) |
−0.474264 | + | 0.880383i | \(0.657286\pi\) | |||||||
\(164\) | −9.15973 | − | 8.29356i | −0.715255 | − | 0.647618i | ||||
\(165\) | 11.5327 | − | 5.00553i | 0.897816 | − | 0.389680i | ||||
\(166\) | 0.656138 | − | 29.2945i | 0.0509261 | − | 2.27369i | ||||
\(167\) | 0.683164 | + | 3.70476i | 0.0528648 | + | 0.286683i | 0.999349 | − | 0.0360660i | \(-0.0114826\pi\) |
−0.946485 | + | 0.322749i | \(0.895393\pi\) | |||||||
\(168\) | 1.47214 | − | 4.21642i | 0.113578 | − | 0.325304i | ||||
\(169\) | −4.59169 | + | 31.6742i | −0.353207 | + | 2.43648i | ||||
\(170\) | 4.86585 | + | 2.61212i | 0.373194 | + | 0.200340i | ||||
\(171\) | 0.237521 | − | 2.24146i | 0.0181637 | − | 0.171409i | ||||
\(172\) | 0.399865 | − | 24.9958i | 0.0304894 | − | 1.90591i | ||||
\(173\) | −23.1972 | + | 4.35438i | −1.76365 | + | 0.331058i | −0.963291 | − | 0.268461i | \(-0.913485\pi\) |
−0.800361 | + | 0.599519i | \(0.795359\pi\) | |||||||
\(174\) | 2.82188 | + | 21.3902i | 0.213926 | + | 1.62159i | ||||
\(175\) | −1.31132 | − | 0.0335684i | −0.0991263 | − | 0.00253753i | ||||
\(176\) | −1.76304 | − | 8.09889i | −0.132894 | − | 0.610477i | ||||
\(177\) | −15.7405 | − | 10.5084i | −1.18313 | − | 0.789859i | ||||
\(178\) | 14.1689 | − | 11.1203i | 1.06200 | − | 0.833501i | ||||
\(179\) | −9.18085 | − | 4.41093i | −0.686209 | − | 0.329688i | 0.0573546 | − | 0.998354i | \(-0.481733\pi\) |
−0.743563 | + | 0.668665i | \(0.766866\pi\) | |||||||
\(180\) | 2.25669 | + | 1.84222i | 0.168204 | + | 0.137311i | ||||
\(181\) | −1.66313 | − | 3.32432i | −0.123619 | − | 0.247095i | 0.823938 | − | 0.566680i | \(-0.191772\pi\) |
−0.947558 | + | 0.319585i | \(0.896457\pi\) | |||||||
\(182\) | −0.406641 | + | 11.5505i | −0.0301423 | + | 0.856181i | ||||
\(183\) | 4.46126 | + | 12.0305i | 0.329786 | + | 0.889322i | ||||
\(184\) | 13.9740 | + | 16.3562i | 1.03018 | + | 1.20580i | ||||
\(185\) | 2.63502 | − | 7.39467i | 0.193731 | − | 0.543667i | ||||
\(186\) | 12.0439 | + | 2.98741i | 0.883098 | + | 0.219048i | ||||
\(187\) | −5.38782 | + | 1.97837i | −0.393996 | + | 0.144673i | ||||
\(188\) | −15.1995 | + | 40.9879i | −1.10854 | + | 2.98935i | ||||
\(189\) | −3.70144 | − | 1.52279i | −0.269240 | − | 0.110767i | ||||
\(190\) | 0.203819 | + | 21.2359i | 0.0147865 | + | 1.54061i | ||||
\(191\) | 10.6535 | + | 5.63157i | 0.770859 | + | 0.407486i | 0.806014 | − | 0.591896i | \(-0.201620\pi\) |
−0.0351555 | + | 0.999382i | \(0.511193\pi\) | |||||||
\(192\) | 14.0761 | − | 11.6417i | 1.01586 | − | 0.840171i | ||||
\(193\) | −8.25545 | − | 7.86850i | −0.594240 | − | 0.566387i | 0.332020 | − | 0.943272i | \(-0.392270\pi\) |
−0.926260 | + | 0.376885i | \(0.876995\pi\) | |||||||
\(194\) | −0.849824 | + | 3.04774i | −0.0610138 | + | 0.218815i | ||||
\(195\) | 17.7538 | + | 7.17155i | 1.27138 | + | 0.513565i | ||||
\(196\) | −1.72397 | − | 23.3872i | −0.123141 | − | 1.67052i | ||||
\(197\) | −11.9531 | + | 3.20966i | −0.851624 | + | 0.228679i | −0.658579 | − | 0.752511i | \(-0.728842\pi\) |
−0.193044 | + | 0.981190i | \(0.561836\pi\) | |||||||
\(198\) | −4.63875 | + | 0.748403i | −0.329662 | + | 0.0531867i | ||||
\(199\) | 7.30526 | − | 11.3309i | 0.517856 | − | 0.803229i | −0.479374 | − | 0.877611i | \(-0.659136\pi\) |
0.997230 | + | 0.0743815i | \(0.0236983\pi\) | |||||||
\(200\) | 5.85350 | + | 3.74740i | 0.413905 | + | 0.264981i | ||||
\(201\) | 8.97488 | − | 1.80388i | 0.633039 | − | 0.127236i | ||||
\(202\) | 18.1442 | − | 12.9709i | 1.27662 | − | 0.912627i | ||||
\(203\) | −2.13050 | − | 3.54889i | −0.149532 | − | 0.249083i | ||||
\(204\) | 5.55642 | + | 5.09607i | 0.389027 | + | 0.356796i | ||||
\(205\) | 3.80902 | − | 4.75849i | 0.266034 | − | 0.332347i | ||||
\(206\) | 4.43752 | − | 5.33062i | 0.309177 | − | 0.371402i | ||||
\(207\) | 1.99732 | − | 1.52669i | 0.138824 | − | 0.106112i | ||||
\(208\) | 6.90806 | − | 10.5658i | 0.478988 | − | 0.732607i | ||||
\(209\) | −16.6422 | − | 14.4970i | −1.15117 | − | 1.00278i | ||||
\(210\) | 4.73229 | + | 1.33587i | 0.326559 | + | 0.0921838i | ||||
\(211\) | 2.56370 | + | 15.5733i | 0.176492 | + | 1.07211i | 0.916654 | + | 0.399681i | \(0.130879\pi\) |
−0.740162 | + | 0.672429i | \(0.765251\pi\) | |||||||
\(212\) | 21.8606 | − | 2.10454i | 1.50139 | − | 0.144540i | ||||
\(213\) | 4.08175 | − | 0.712245i | 0.279677 | − | 0.0488022i | ||||
\(214\) | −37.6236 | − | 22.0981i | −2.57190 | − | 1.51059i | ||||
\(215\) | 12.3192 | − | 0.552126i | 0.840160 | − | 0.0376547i | ||||
\(216\) | 12.6074 | + | 17.0525i | 0.857825 | + | 1.16028i | ||||
\(217\) | −2.34778 | + | 0.394213i | −0.159377 | + | 0.0267609i | ||||
\(218\) | 24.4787 | − | 9.70629i | 1.65791 | − | 0.657393i | ||||
\(219\) | −10.1003 | − | 21.5501i | −0.682516 | − | 1.45622i | ||||
\(220\) | 27.4524 | − | 7.74948i | 1.85084 | − | 0.522470i | ||||
\(221\) | −7.90333 | − | 3.73510i | −0.531635 | − | 0.251250i | ||||
\(222\) | 9.27920 | − | 13.8035i | 0.622779 | − | 0.926430i | ||||
\(223\) | −10.0790 | + | 13.6327i | −0.674941 | + | 0.912911i | −0.999456 | − | 0.0329693i | \(-0.989504\pi\) |
0.324515 | + | 0.945881i | \(0.394799\pi\) | |||||||
\(224\) | −1.06552 | + | 2.09618i | −0.0711933 | + | 0.140057i | ||||
\(225\) | 0.474457 | − | 0.659222i | 0.0316304 | − | 0.0439482i | ||||
\(226\) | −8.89200 | + | 9.03538i | −0.591487 | + | 0.601025i | ||||
\(227\) | 12.8698 | + | 21.7521i | 0.854197 | + | 1.44374i | 0.895730 | + | 0.444598i | \(0.146654\pi\) |
−0.0415334 | + | 0.999137i | \(0.513224\pi\) | |||||||
\(228\) | −6.88984 | + | 28.1619i | −0.456291 | + | 1.86507i | ||||
\(229\) | 0.992804 | − | 4.56065i | 0.0656063 | − | 0.301376i | −0.932623 | − | 0.360851i | \(-0.882486\pi\) |
0.998230 | + | 0.0594745i | \(0.0189425\pi\) | |||||||
\(230\) | −17.0408 | + | 16.4514i | −1.12364 | + | 1.08477i | ||||
\(231\) | −4.30392 | + | 2.75536i | −0.283177 | + | 0.181289i | ||||
\(232\) | −0.0701642 | + | 21.9319i | −0.00460651 | + | 1.43990i | ||||
\(233\) | −12.0691 | + | 7.40391i | −0.790671 | + | 0.485046i | −0.858601 | − | 0.512644i | \(-0.828666\pi\) |
0.0679298 | + | 0.997690i | \(0.478361\pi\) | |||||||
\(234\) | −5.76795 | − | 4.23594i | −0.377063 | − | 0.276912i | ||||
\(235\) | −20.6367 | − | 6.25556i | −1.34619 | − | 0.408068i | ||||
\(236\) | −32.1982 | − | 28.4122i | −2.09593 | − | 1.84948i | ||||
\(237\) | −9.09915 | − | 3.47392i | −0.591054 | − | 0.225656i | ||||
\(238\) | −2.12176 | − | 0.733197i | −0.137533 | − | 0.0475261i | ||||
\(239\) | 2.48897 | + | 3.06894i | 0.160998 | + | 0.198513i | 0.850807 | − | 0.525479i | \(-0.176114\pi\) |
−0.689808 | + | 0.723992i | \(0.742305\pi\) | |||||||
\(240\) | −3.66802 | − | 3.92311i | −0.236770 | − | 0.253236i | ||||
\(241\) | 12.6117 | + | 0.0806952i | 0.812391 | + | 0.00519804i | 0.412042 | − | 0.911165i | \(-0.364816\pi\) |
0.400349 | + | 0.916363i | \(0.368889\pi\) | |||||||
\(242\) | −8.68592 | + | 17.9316i | −0.558352 | + | 1.15269i | ||||
\(243\) | 3.86988 | − | 2.54789i | 0.248253 | − | 0.163447i | ||||
\(244\) | 6.37439 | + | 28.4064i | 0.408078 | + | 1.81853i | ||||
\(245\) | 11.4635 | − | 1.54963i | 0.732376 | − | 0.0990025i | ||||
\(246\) | 10.3102 | − | 7.77679i | 0.657356 | − | 0.495830i | ||||
\(247\) | −2.04199 | − | 33.5526i | −0.129928 | − | 2.13490i | ||||
\(248\) | 11.7257 | + | 4.64946i | 0.744580 | + | 0.295241i | ||||
\(249\) | 19.2943 | + | 4.13555i | 1.22273 | + | 0.262080i | ||||
\(250\) | −14.0475 | + | 25.1922i | −0.888443 | + | 1.59330i | ||||
\(251\) | 0.947109 | − | 3.16084i | 0.0597810 | − | 0.199510i | −0.922823 | − | 0.385225i | \(-0.874124\pi\) |
0.982604 | + | 0.185714i | \(0.0594600\pi\) | |||||||
\(252\) | −1.02487 | − | 0.593169i | −0.0645609 | − | 0.0373661i | ||||
\(253\) | −1.02349 | − | 24.5952i | −0.0643462 | − | 1.54629i | ||||
\(254\) | 14.3176 | − | 1.00937i | 0.898367 | − | 0.0633334i | ||||
\(255\) | −2.34265 | + | 2.88852i | −0.146702 | + | 0.180886i | ||||
\(256\) | 22.1555 | − | 13.7874i | 1.38472 | − | 0.861714i | ||||
\(257\) | 6.31121 | − | 4.39080i | 0.393682 | − | 0.273890i | −0.357595 | − | 0.933877i | \(-0.616403\pi\) |
0.751278 | + | 0.659986i | \(0.229438\pi\) | |||||||
\(258\) | 25.5818 | + | 5.31224i | 1.59265 | + | 0.330726i | ||||
\(259\) | −0.578661 | + | 3.13805i | −0.0359563 | + | 0.194989i | ||||
\(260\) | 37.7394 | + | 21.5214i | 2.34050 | + | 1.33470i | ||||
\(261\) | 2.55872 | + | 0.147507i | 0.158381 | + | 0.00913047i | ||||
\(262\) | −31.6761 | + | 30.9745i | −1.95695 | + | 1.91361i | ||||
\(263\) | 5.79505 | + | 23.6870i | 0.357338 | + | 1.46060i | 0.819127 | + | 0.573612i | \(0.194458\pi\) |
−0.461789 | + | 0.886990i | \(0.652792\pi\) | |||||||
\(264\) | 27.0684 | − | 0.692923i | 1.66594 | − | 0.0426465i | ||||
\(265\) | 1.69127 | + | 10.7004i | 0.103894 | + | 0.657321i | ||||
\(266\) | −1.45669 | − | 8.50867i | −0.0893151 | − | 0.521700i | ||||
\(267\) | 5.56534 | + | 10.7773i | 0.340593 | + | 0.659559i | ||||
\(268\) | 20.7281 | − | 1.32807i | 1.26617 | − | 0.0811249i | ||||
\(269\) | 13.0243 | + | 14.6650i | 0.794105 | + | 0.894140i | 0.996365 | − | 0.0851919i | \(-0.0271503\pi\) |
−0.202260 | + | 0.979332i | \(0.564829\pi\) | |||||||
\(270\) | −17.8974 | + | 14.9960i | −1.08920 | + | 0.912629i | ||||
\(271\) | 30.2948 | − | 0.581583i | 1.84028 | − | 0.0353286i | 0.912632 | − | 0.408782i | \(-0.134047\pi\) |
0.927649 | + | 0.373454i | \(0.121827\pi\) | |||||||
\(272\) | 1.56871 | + | 1.88443i | 0.0951171 | + | 0.114261i | ||||
\(273\) | −7.58884 | − | 1.72846i | −0.459298 | − | 0.104611i | ||||
\(274\) | −27.3615 | + | 5.31752i | −1.65297 | + | 0.321243i | ||||
\(275\) | −2.62157 | − | 7.50854i | −0.158087 | − | 0.452782i | ||||
\(276\) | −28.0898 | + | 16.0186i | −1.69081 | + | 0.964204i | ||||
\(277\) | 14.5375 | − | 7.21494i | 0.873475 | − | 0.433504i | 0.0485996 | − | 0.998818i | \(-0.484524\pi\) |
0.824876 | + | 0.565314i | \(0.191245\pi\) | |||||||
\(278\) | 36.1428 | + | 37.6781i | 2.16770 | + | 2.25978i | ||||
\(279\) | 0.617017 | − | 1.33870i | 0.0369399 | − | 0.0801456i | ||||
\(280\) | 4.58520 | + | 1.99012i | 0.274018 | + | 0.118932i | ||||
\(281\) | 6.00932 | + | 13.2605i | 0.358486 | + | 0.791055i | 0.999719 | + | 0.0237089i | \(0.00754750\pi\) |
−0.641233 | + | 0.767346i | \(0.721577\pi\) | |||||||
\(282\) | −39.0966 | − | 23.6413i | −2.32817 | − | 1.40782i | ||||
\(283\) | 3.65437 | + | 2.90607i | 0.217229 | + | 0.172748i | 0.725010 | − | 0.688739i | \(-0.241835\pi\) |
−0.507780 | + | 0.861487i | \(0.669534\pi\) | |||||||
\(284\) | 9.39422 | − | 0.360822i | 0.557444 | − | 0.0214109i | ||||
\(285\) | −14.0725 | − | 2.54847i | −0.833583 | − | 0.150958i | ||||
\(286\) | −66.3756 | + | 22.4624i | −3.92487 | + | 1.32823i | ||||
\(287\) | −1.22046 | + | 2.15617i | −0.0720414 | + | 0.127275i | ||||
\(288\) | −0.700930 | − | 1.27615i | −0.0413027 | − | 0.0751977i | ||||
\(289\) | −10.3068 | + | 11.3103i | −0.606285 | + | 0.665314i | ||||
\(290\) | −24.1077 | + | 1.38979i | −1.41566 | + | 0.0816110i | ||||
\(291\) | −1.90859 | − | 0.947227i | −0.111883 | − | 0.0555274i | ||||
\(292\) | −16.1602 | − | 51.5249i | −0.945705 | − | 3.01527i | ||||
\(293\) | −23.9467 | + | 6.26619i | −1.39898 | + | 0.366075i | −0.874367 | − | 0.485266i | \(-0.838723\pi\) |
−0.524613 | + | 0.851341i | \(0.675790\pi\) | |||||||
\(294\) | 24.3469 | + | 2.81650i | 1.41994 | + | 0.164262i | ||||
\(295\) | 13.0245 | − | 16.7048i | 0.758314 | − | 0.972592i | ||||
\(296\) | 11.2272 | − | 12.6415i | 0.652565 | − | 0.734770i | ||||
\(297\) | 0.698601 | − | 24.2565i | 0.0405369 | − | 1.40750i | ||||
\(298\) | −23.6510 | − | 1.66735i | −1.37006 | − | 0.0965872i | ||||
\(299\) | 25.6052 | − | 27.3859i | 1.48079 | − | 1.58377i | ||||
\(300\) | −7.18363 | + | 7.58534i | −0.414747 | + | 0.437940i | ||||
\(301\) | −4.90788 | + | 1.01916i | −0.282885 | + | 0.0587432i | ||||
\(302\) | 0.401918 | + | 17.9444i | 0.0231278 | + | 1.03258i | ||||
\(303\) | 6.28711 | + | 13.6407i | 0.361185 | + | 0.783635i | ||||
\(304\) | −3.44736 | + | 8.77586i | −0.197719 | + | 0.503330i | ||||
\(305\) | −13.7954 | + | 3.98976i | −0.789924 | + | 0.228453i | ||||
\(306\) | 1.11503 | − | 0.829907i | 0.0637423 | − | 0.0474426i | ||||
\(307\) | 21.1762 | − | 20.9739i | 1.20859 | − | 1.19705i | 0.234197 | − | 0.972189i | \(-0.424754\pi\) |
0.974392 | − | 0.224856i | \(-0.0721912\pi\) | |||||||
\(308\) | −10.5148 | + | 4.88720i | −0.599134 | + | 0.278474i | ||||
\(309\) | 2.96530 | + | 3.60881i | 0.168690 | + | 0.205298i | ||||
\(310\) | −4.32548 | + | 13.1974i | −0.245671 | + | 0.749564i | ||||
\(311\) | −19.6065 | + | 13.0893i | −1.11178 | + | 0.742225i | −0.968885 | − | 0.247513i | \(-0.920387\pi\) |
−0.142896 | + | 0.989738i | \(0.545641\pi\) | |||||||
\(312\) | 29.6691 | + | 28.6430i | 1.67968 | + | 1.62159i | ||||
\(313\) | 21.3339 | + | 4.28794i | 1.20586 | + | 0.242369i | 0.758314 | − | 0.651890i | \(-0.226023\pi\) |
0.447551 | + | 0.894259i | \(0.352296\pi\) | |||||||
\(314\) | 21.4556 | − | 9.64053i | 1.21081 | − | 0.544047i | ||||
\(315\) | 0.261347 | − | 0.522390i | 0.0147253 | − | 0.0294334i | ||||
\(316\) | −19.4034 | − | 10.5767i | −1.09152 | − | 0.594987i | ||||
\(317\) | −13.2120 | + | 6.66278i | −0.742059 | + | 0.374219i | −0.780594 | − | 0.625038i | \(-0.785083\pi\) |
0.0385349 | + | 0.999257i | \(0.487731\pi\) | |||||||
\(318\) | −2.12644 | + | 22.8543i | −0.119245 | + | 1.28160i | ||||
\(319\) | 15.5574 | − | 19.6923i | 0.871047 | − | 1.10256i | ||||
\(320\) | 11.8362 | + | 16.6695i | 0.661666 | + | 0.931854i | ||||
\(321\) | 19.3710 | − | 22.0944i | 1.08118 | − | 1.23319i | ||||
\(322\) | 5.77325 | − | 7.70515i | 0.321731 | − | 0.429391i | ||||
\(323\) | 6.34694 | + | 1.53128i | 0.353153 | + | 0.0852029i | ||||
\(324\) | −24.3249 | + | 11.6869i | −1.35139 | + | 0.649272i | ||||
\(325\) | 5.35005 | − | 10.8671i | 0.296768 | − | 0.602798i | ||||
\(326\) | 3.01353 | − | 40.8813i | 0.166904 | − | 2.26420i | ||||
\(327\) | 3.32731 | + | 17.4182i | 0.184001 | + | 0.963227i | ||||
\(328\) | 11.4451 | − | 6.43001i | 0.631949 | − | 0.355038i | ||||
\(329\) | 8.68640 | + | 1.17423i | 0.478897 | + | 0.0647372i | ||||
\(330\) | 2.57197 | + | 29.7017i | 0.141582 | + | 1.63502i | ||||
\(331\) | −8.57695 | − | 3.59294i | −0.471432 | − | 0.197486i | 0.137829 | − | 0.990456i | \(-0.455988\pi\) |
−0.609260 | + | 0.792970i | \(0.708534\pi\) | |||||||
\(332\) | 42.1258 | + | 15.1632i | 2.31195 | + | 0.832188i | ||||
\(333\) | −1.40377 | − | 1.39037i | −0.0769264 | − | 0.0761916i | ||||
\(334\) | −8.84505 | − | 1.25335i | −0.483979 | − | 0.0685804i | ||||
\(335\) | 1.27503 | + | 10.1661i | 0.0696621 | + | 0.555433i | ||||
\(336\) | 1.72595 | + | 1.33684i | 0.0941585 | + | 0.0729308i | ||||
\(337\) | 2.05040 | − | 3.27148i | 0.111692 | − | 0.178209i | −0.786787 | − | 0.617224i | \(-0.788257\pi\) |
0.898480 | + | 0.439015i | \(0.144673\pi\) | |||||||
\(338\) | −67.7664 | − | 34.1745i | −3.68601 | − | 1.85885i | ||||
\(339\) | −4.85301 | − | 7.02340i | −0.263579 | − | 0.381459i | ||||
\(340\) | −6.14536 | + | 5.78273i | −0.333279 | + | 0.313612i | ||||
\(341\) | −7.27009 | − | 12.4690i | −0.393697 | − | 0.675236i | ||||
\(342\) | 4.86139 | + | 2.22183i | 0.262874 | + | 0.120143i | ||||
\(343\) | −9.36680 | + | 2.83934i | −0.505760 | + | 0.153310i | ||||
\(344\) | 25.0466 | + | 8.83491i | 1.35042 | + | 0.476346i | ||||
\(345\) | −8.72877 | − | 13.3506i | −0.469941 | − | 0.718770i | ||||
\(346\) | 7.67516 | − | 55.4407i | 0.412619 | − | 2.98051i | ||||
\(347\) | 22.1161 | + | 9.76770i | 1.18725 | + | 0.524357i | 0.901010 | − | 0.433799i | \(-0.142827\pi\) |
0.286244 | + | 0.958157i | \(0.407593\pi\) | |||||||
\(348\) | −32.3609 | − | 6.28913i | −1.73473 | − | 0.337133i | ||||
\(349\) | −1.27025 | − | 8.76238i | −0.0679947 | − | 0.469040i | −0.995464 | − | 0.0951399i | \(-0.969670\pi\) |
0.927469 | − | 0.373900i | \(-0.121980\pi\) | |||||||
\(350\) | 1.06285 | − | 2.92340i | 0.0568119 | − | 0.156262i | ||||
\(351\) | 27.0772 | − | 25.1547i | 1.44527 | − | 1.34266i | ||||
\(352\) | −14.1724 | − | 1.54767i | −0.755392 | − | 0.0824912i | ||||
\(353\) | −11.7745 | − | 11.8122i | −0.626693 | − | 0.628701i | 0.321306 | − | 0.946975i | \(-0.395878\pi\) |
−0.947999 | + | 0.318275i | \(0.896897\pi\) | |||||||
\(354\) | 35.4815 | − | 27.4823i | 1.88582 | − | 1.46067i | ||||
\(355\) | 0.459158 | + | 4.61461i | 0.0243696 | + | 0.244918i | ||||
\(356\) | 9.23779 | + | 25.9241i | 0.489602 | + | 1.37397i | ||||
\(357\) | 0.753080 | − | 1.31082i | 0.0398572 | − | 0.0693760i | ||||
\(358\) | 16.8314 | − | 17.3231i | 0.889566 | − | 0.915555i | ||||
\(359\) | −9.36445 | + | 4.87377i | −0.494237 | + | 0.257227i | −0.690511 | − | 0.723321i | \(-0.742615\pi\) |
0.196275 | + | 0.980549i | \(0.437116\pi\) | |||||||
\(360\) | −2.61718 | + | 1.65200i | −0.137937 | + | 0.0870680i | ||||
\(361\) | 1.60258 | + | 5.89285i | 0.0843464 | + | 0.310150i | ||||
\(362\) | 8.72745 | − | 1.23669i | 0.458705 | − | 0.0649989i | ||||
\(363\) | −10.7635 | − | 8.01118i | −0.564939 | − | 0.420478i | ||||
\(364\) | −16.5380 | − | 6.19302i | −0.866826 | − | 0.324602i | ||||
\(365\) | 24.8851 | − | 9.50076i | 1.30254 | − | 0.497292i | ||||
\(366\) | −30.4114 | + | 0.973247i | −1.58963 | + | 0.0508724i | ||||
\(367\) | 1.92939 | + | 17.1590i | 0.100713 | + | 0.895693i | 0.937458 | + | 0.348100i | \(0.113173\pi\) |
−0.836744 | + | 0.547594i | \(0.815544\pi\) | |||||||
\(368\) | −9.75066 | + | 3.93871i | −0.508288 | + | 0.205320i | ||||
\(369\) | −0.677595 | − | 1.37634i | −0.0352742 | − | 0.0716493i | ||||
\(370\) | 14.6438 | + | 11.4931i | 0.761297 | + | 0.597497i | ||||
\(371\) | −1.37148 | − | 4.18452i | −0.0712039 | − | 0.217250i | ||||
\(372\) | −10.1716 | + | 16.0007i | −0.527373 | + | 0.829598i | ||||
\(373\) | −0.234294 | + | 5.63025i | −0.0121313 | + | 0.291524i | 0.982380 | + | 0.186894i | \(0.0598422\pi\) |
−0.994511 | + | 0.104629i | \(0.966634\pi\) | |||||||
\(374\) | −0.391828 | − | 13.6049i | −0.0202609 | − | 0.703491i | ||||
\(375\) | −14.8887 | − | 12.4751i | −0.768851 | − | 0.644212i | ||||
\(376\) | −36.1650 | − | 29.1392i | −1.86507 | − | 1.50274i | ||||
\(377\) | 37.9962 | − | 4.14930i | 1.95691 | − | 0.213700i | ||||
\(378\) | 6.21124 | − | 7.17658i | 0.319472 | − | 0.369123i | ||||
\(379\) | −25.4699 | − | 7.89892i | −1.30830 | − | 0.405740i | −0.438315 | − | 0.898821i | \(-0.644425\pi\) |
−0.869984 | + | 0.493081i | \(0.835871\pi\) | |||||||
\(380\) | −30.8671 | − | 10.0075i | −1.58345 | − | 0.513374i | ||||
\(381\) | −1.14146 | + | 9.59811i | −0.0584788 | + | 0.491726i | ||||
\(382\) | −20.6850 | + | 19.7154i | −1.05834 | + | 1.00873i | ||||
\(383\) | −15.8596 | − | 29.7714i | −0.810387 | − | 1.52125i | −0.852855 | − | 0.522147i | \(-0.825131\pi\) |
0.0424683 | − | 0.999098i | \(-0.486478\pi\) | |||||||
\(384\) | 11.8613 | + | 30.7723i | 0.605297 | + | 1.57034i | ||||
\(385\) | −2.72139 | − | 5.03070i | −0.138695 | − | 0.256388i | ||||
\(386\) | 23.9094 | − | 12.6388i | 1.21696 | − | 0.643299i | ||||
\(387\) | 1.19002 | − | 2.86649i | 0.0604923 | − | 0.145712i | ||||
\(388\) | −4.00351 | − | 2.70993i | −0.203247 | − | 0.137576i | ||||
\(389\) | 10.4052 | + | 3.82074i | 0.527567 | + | 0.193719i | 0.594585 | − | 0.804032i | \(-0.297316\pi\) |
−0.0670188 | + | 0.997752i | \(0.521349\pi\) | |||||||
\(390\) | −29.4941 | + | 34.5220i | −1.49349 | + | 1.74809i | ||||
\(391\) | 3.62757 | + | 6.31420i | 0.183454 | + | 0.319323i | ||||
\(392\) | 24.1425 | + | 6.15265i | 1.21938 | + | 0.310756i | ||||
\(393\) | −16.4860 | − | 24.8663i | −0.831609 | − | 1.25434i | ||||
\(394\) | 1.78287 | − | 29.2949i | 0.0898196 | − | 1.47586i | ||||
\(395\) | 4.62623 | − | 9.87056i | 0.232771 | − | 0.496642i | ||||
\(396\) | 1.16619 | − | 7.08408i | 0.0586033 | − | 0.355988i | ||||
\(397\) | −1.02851 | + | 15.2862i | −0.0516196 | + | 0.767190i | 0.895248 | + | 0.445568i | \(0.146998\pi\) |
−0.946868 | + | 0.321623i | \(0.895772\pi\) | |||||||
\(398\) | 19.9786 | + | 24.9586i | 1.00144 | + | 1.25106i | ||||
\(399\) | 5.81222 | + | 0.111580i | 0.290975 | + | 0.00558597i | ||||
\(400\) | −2.64561 | + | 2.13165i | −0.132280 | + | 0.106582i | ||||
\(401\) | 6.05657 | − | 6.07598i | 0.302451 | − | 0.303420i | −0.540572 | − | 0.841298i | \(-0.681792\pi\) |
0.843023 | + | 0.537878i | \(0.180774\pi\) | |||||||
\(402\) | −2.70147 | + | 21.5395i | −0.134737 | + | 1.07429i | ||||
\(403\) | 5.76879 | − | 21.2124i | 0.287364 | − | 1.05666i | ||||
\(404\) | 9.99036 | + | 32.5817i | 0.497039 | + | 1.62100i | ||||
\(405\) | −6.48317 | − | 11.6267i | −0.322152 | − | 0.577733i | ||||
\(406\) | 9.58434 | − | 2.11854i | 0.475663 | − | 0.105141i | ||||
\(407\) | −19.0369 | + | 3.44750i | −0.943624 | + | 0.170886i | ||||
\(408\) | −7.00832 | + | 3.87859i | −0.346963 | + | 0.192019i | ||||
\(409\) | 10.9685 | + | 12.1922i | 0.542358 | + | 0.602866i | 0.950757 | − | 0.309937i | \(-0.100308\pi\) |
−0.408399 | + | 0.912803i | \(0.633913\pi\) | |||||||
\(410\) | 7.83206 | + | 12.1480i | 0.386798 | + | 0.599949i | ||||
\(411\) | −0.0600503 | − | 18.7705i | −0.00296206 | − | 0.925879i | ||||
\(412\) | 5.57051 | + | 9.01563i | 0.274440 | + | 0.444168i | ||||
\(413\) | −4.14512 | + | 7.54681i | −0.203968 | + | 0.371354i | ||||
\(414\) | 1.92905 | + | 5.64078i | 0.0948079 | + | 0.277229i | ||||
\(415\) | −6.20358 | + | 21.1958i | −0.304522 | + | 1.04046i | ||||
\(416\) | −13.4603 | − | 17.0378i | −0.659944 | − | 0.835347i | ||||
\(417\) | −29.4895 | + | 19.1462i | −1.44411 | + | 0.937596i | ||||
\(418\) | 45.1295 | − | 26.5066i | 2.20735 | − | 1.29648i | ||||
\(419\) | −17.7170 | + | 15.0388i | −0.865530 | + | 0.734695i | −0.965530 | − | 0.260293i | \(-0.916181\pi\) |
0.0999998 | + | 0.994987i | \(0.468116\pi\) | |||||||
\(420\) | −4.23143 | + | 6.20840i | −0.206473 | + | 0.302939i | ||||
\(421\) | −35.6501 | + | 3.66244i | −1.73748 | + | 0.178496i | −0.918526 | − | 0.395361i | \(-0.870619\pi\) |
−0.818955 | + | 0.573858i | \(0.805446\pi\) | |||||||
\(422\) | −36.9490 | − | 5.96125i | −1.79865 | − | 0.290189i | ||||
\(423\) | −3.62990 | + | 4.03487i | −0.176492 | + | 0.196182i | ||||
\(424\) | −5.25425 | + | 22.7329i | −0.255169 | + | 1.10401i | ||||
\(425\) | 1.71337 | + | 1.61227i | 0.0831108 | + | 0.0782065i | ||||
\(426\) | −1.47182 | + | 9.71465i | −0.0713098 | + | 0.470676i | ||||
\(427\) | 5.27772 | − | 2.49424i | 0.255407 | − | 0.120705i | ||||
\(428\) | 50.2709 | − | 43.7909i | 2.42994 | − | 2.11671i | ||||
\(429\) | −6.47108 | − | 46.7432i | −0.312427 | − | 2.25678i | ||||
\(430\) | −8.03431 | + | 28.1170i | −0.387449 | + | 1.35592i | ||||
\(431\) | 0.220099 | + | 1.11349i | 0.0106018 | + | 0.0536349i | 0.985953 | − | 0.167024i | \(-0.0534156\pi\) |
−0.975351 | + | 0.220659i | \(0.929179\pi\) | |||||||
\(432\) | −9.86129 | + | 3.19715i | −0.474451 | + | 0.153823i | ||||
\(433\) | 7.32507 | − | 0.0937419i | 0.352020 | − | 0.00450495i | 0.163414 | − | 0.986558i | \(-0.447750\pi\) |
0.188607 | + | 0.982053i | \(0.439603\pi\) | |||||||
\(434\) | 0.881341 | − | 5.57611i | 0.0423057 | − | 0.267662i | ||||
\(435\) | 2.12687 | − | 16.1220i | 0.101976 | − | 0.772989i | ||||
\(436\) | 2.18716 | + | 40.1757i | 0.104746 | + | 1.92407i | ||||
\(437\) | −14.5663 | + | 23.9158i | −0.696801 | + | 1.14405i | ||||
\(438\) | 56.0634 | − | 6.48555i | 2.67881 | − | 0.309891i | ||||
\(439\) | 2.56163 | − | 0.996818i | 0.122260 | − | 0.0475756i | −0.300734 | − | 0.953708i | \(-0.597232\pi\) |
0.422994 | + | 0.906132i | \(0.360979\pi\) | |||||||
\(440\) | −1.45372 | + | 30.2704i | −0.0693036 | + | 1.44309i | ||||
\(441\) | 0.871297 | − | 2.77803i | 0.0414903 | − | 0.132287i | ||||
\(442\) | 14.3498 | − | 14.9593i | 0.682548 | − | 0.711542i | ||||
\(443\) | 10.6184 | + | 27.0311i | 0.504497 | + | 1.28429i | 0.926022 | + | 0.377469i | \(0.123206\pi\) |
−0.421526 | + | 0.906816i | \(0.638505\pi\) | |||||||
\(444\) | 15.4977 | + | 20.1413i | 0.735488 | + | 0.955866i | ||||
\(445\) | −12.4874 | + | 5.32523i | −0.591960 | + | 0.252440i | ||||
\(446\) | −23.0658 | − | 32.9289i | −1.09220 | − | 1.55923i | ||||
\(447\) | 4.09134 | − | 15.4335i | 0.193514 | − | 0.729981i | ||||
\(448\) | −5.82907 | − | 5.92307i | −0.275398 | − | 0.279839i | ||||
\(449\) | 12.3133 | − | 1.90584i | 0.581099 | − | 0.0899419i | 0.144352 | − | 0.989526i | \(-0.453890\pi\) |
0.436747 | + | 0.899584i | \(0.356131\pi\) | |||||||
\(450\) | 1.12510 | + | 1.56325i | 0.0530379 | + | 0.0736922i | ||||
\(451\) | −14.8449 | − | 2.29767i | −0.699017 | − | 0.108193i | ||||
\(452\) | −8.77712 | − | 17.2670i | −0.412841 | − | 0.812173i | ||||
\(453\) | −11.9203 | − | 2.00153i | −0.560065 | − | 0.0940399i | ||||
\(454\) | −58.6029 | + | 12.5610i | −2.75037 | + | 0.589515i | ||||
\(455\) | 2.55369 | − | 8.32838i | 0.119719 | − | 0.390440i | ||||
\(456\) | −26.0468 | − | 16.4411i | −1.21975 | − | 0.769926i | ||||
\(457\) | 12.5574 | + | 1.04692i | 0.587410 | + | 0.0489729i | 0.373097 | − | 0.927792i | \(-0.378296\pi\) |
0.214312 | + | 0.976765i | \(0.431249\pi\) | |||||||
\(458\) | 9.50770 | + | 5.66644i | 0.444266 | + | 0.264776i | ||||
\(459\) | 3.12942 | + | 6.46050i | 0.146069 | + | 0.301551i | ||||
\(460\) | −15.5686 | − | 32.6716i | −0.725888 | − | 1.52332i | ||||
\(461\) | 7.27747 | − | 18.1834i | 0.338946 | − | 0.846883i | −0.656742 | − | 0.754115i | \(-0.728066\pi\) |
0.995688 | − | 0.0927681i | \(-0.0295715\pi\) | |||||||
\(462\) | −2.95512 | − | 11.7526i | −0.137485 | − | 0.546781i | ||||
\(463\) | −25.9981 | + | 23.2387i | −1.20823 | + | 1.07999i | −0.213560 | + | 0.976930i | \(0.568506\pi\) |
−0.994675 | + | 0.103063i | \(0.967136\pi\) | |||||||
\(464\) | −10.1553 | − | 3.43669i | −0.471447 | − | 0.159544i | ||||
\(465\) | −8.18305 | − | 4.52872i | −0.379480 | − | 0.210014i | ||||
\(466\) | −7.56115 | − | 32.7138i | −0.350263 | − | 1.51544i | ||||
\(467\) | −20.1940 | + | 34.6350i | −0.934466 | + | 1.60272i | −0.144554 | + | 0.989497i | \(0.546175\pi\) |
−0.789913 | + | 0.613219i | \(0.789874\pi\) | |||||||
\(468\) | 8.93574 | − | 6.30195i | 0.413055 | − | 0.291308i | ||||
\(469\) | −1.16985 | − | 3.99705i | −0.0540188 | − | 0.184567i | ||||
\(470\) | 29.6050 | − | 41.6941i | 1.36558 | − | 1.92321i | ||||
\(471\) | 3.66580 | + | 15.4102i | 0.168911 | + | 0.710066i | ||||
\(472\) | 39.4850 | − | 22.8528i | 1.81744 | − | 1.05189i | ||||
\(473\) | −16.3040 | − | 25.6474i | −0.749657 | − | 1.17927i | ||||
\(474\) | 14.6629 | − | 17.8449i | 0.673489 | − | 0.819645i | ||||
\(475\) | −2.26223 | + | 8.75959i | −0.103798 | + | 0.401917i | ||||
\(476\) | 2.09171 | − | 2.71845i | 0.0958732 | − | 0.124600i | ||||
\(477\) | 2.61925 | + | 0.757511i | 0.119927 | + | 0.0346840i | ||||
\(478\) | −8.77502 | + | 3.28600i | −0.401360 | + | 0.150298i | ||||
\(479\) | −16.9136 | + | 14.9248i | −0.772803 | + | 0.681933i | −0.953429 | − | 0.301619i | \(-0.902473\pi\) |
0.180626 | + | 0.983552i | \(0.442188\pi\) | |||||||
\(480\) | −8.40201 | + | 3.84002i | −0.383497 | + | 0.175272i | ||||
\(481\) | −24.0793 | − | 16.9820i | −1.09792 | − | 0.774312i | ||||
\(482\) | −9.67756 | + | 28.2983i | −0.440801 | + | 1.28895i | ||||
\(483\) | 4.36718 | + | 4.79238i | 0.198714 | + | 0.218061i | ||||
\(484\) | −21.7666 | − | 21.2845i | −0.989391 | − | 0.967479i | ||||
\(485\) | 1.21432 | − | 2.05241i | 0.0551395 | − | 0.0931950i | ||||
\(486\) | 2.81540 | + | 10.6204i | 0.127709 | + | 0.481751i | ||||
\(487\) | 9.73223 | − | 11.5400i | 0.441009 | − | 0.522927i | −0.497833 | − | 0.867273i | \(-0.665871\pi\) |
0.938843 | + | 0.344346i | \(0.111899\pi\) | |||||||
\(488\) | −30.7677 | − | 3.16085i | −1.39279 | − | 0.143085i | ||||
\(489\) | 26.6606 | + | 7.15894i | 1.20564 | + | 0.323738i | ||||
\(490\) | −5.14699 | + | 26.9440i | −0.232517 | + | 1.21721i | ||||
\(491\) | −13.1150 | − | 39.1665i | −0.591871 | − | 1.76756i | −0.639609 | − | 0.768700i | \(-0.720904\pi\) |
0.0477379 | − | 0.998860i | \(-0.484799\pi\) | |||||||
\(492\) | 6.26550 | + | 18.7113i | 0.282471 | + | 0.843568i | ||||
\(493\) | −1.39298 | + | 7.29211i | −0.0627366 | + | 0.328420i | ||||
\(494\) | 76.9849 | + | 20.6721i | 3.46372 | + | 0.930080i | ||||
\(495\) | 3.52293 | + | 0.361921i | 0.158344 | + | 0.0162671i | ||||
\(496\) | −3.97519 | + | 4.71358i | −0.178491 | + | 0.211646i | ||||
\(497\) | −0.483026 | − | 1.82209i | −0.0216667 | − | 0.0817321i | ||||
\(498\) | −23.8272 | + | 40.2719i | −1.06772 | + | 1.80463i | ||||
\(499\) | −5.49439 | − | 5.37271i | −0.245963 | − | 0.240515i | 0.565743 | − | 0.824581i | \(-0.308589\pi\) |
−0.811706 | + | 0.584066i | \(0.801461\pi\) | |||||||
\(500\) | −29.6852 | − | 32.5754i | −1.32756 | − | 1.45682i | ||||
\(501\) | 1.94667 | − | 5.69230i | 0.0869708 | − | 0.254313i | ||||
\(502\) | 6.39443 | + | 4.50969i | 0.285397 | + | 0.201277i | ||||
\(503\) | −3.94386 | + | 1.80249i | −0.175848 | + | 0.0803689i | −0.501657 | − | 0.865067i | \(-0.667276\pi\) |
0.325809 | + | 0.945436i | \(0.394363\pi\) | |||||||
\(504\) | 0.943304 | − | 0.832385i | 0.0420181 | − | 0.0370774i | ||||
\(505\) | −15.7429 | + | 5.89527i | −0.700548 | + | 0.262336i | ||||
\(506\) | 56.0763 | + | 16.2178i | 2.49290 | + | 0.720968i | ||||
\(507\) | 31.1678 | − | 40.5068i | 1.38421 | − | 1.79897i | ||||
\(508\) | −5.48389 | + | 21.2342i | −0.243308 | + | 0.942115i | ||||
\(509\) | −9.53777 | + | 11.6076i | −0.422754 | + | 0.514498i | −0.939923 | − | 0.341385i | \(-0.889104\pi\) |
0.517169 | + | 0.855883i | \(0.326986\pi\) | |||||||
\(510\) | −4.73130 | − | 7.44270i | −0.209505 | − | 0.329568i | ||||
\(511\) | −9.37114 | + | 5.42376i | −0.414555 | + | 0.239933i | ||||
\(512\) | 4.76209 | + | 20.0188i | 0.210457 | + | 0.884716i | ||||
\(513\) | −15.9816 | + | 22.5076i | −0.705606 | + | 0.993736i | ||||
\(514\) | 5.12121 | + | 17.4977i | 0.225887 | + | 0.771790i | ||||
\(515\) | −4.27210 | + | 3.01291i | −0.188251 | + | 0.132765i | ||||
\(516\) | −20.1080 | + | 34.4876i | −0.885207 | + | 1.51823i | ||||
\(517\) | 11.9677 | + | 51.7790i | 0.526339 | + | 2.27724i | ||||
\(518\) | −6.62061 | − | 3.66402i | −0.290893 | − | 0.160988i | ||||
\(519\) | 35.7021 | + | 12.0821i | 1.56715 | + | 0.530345i | ||||
\(520\) | −34.4122 | + | 30.7597i | −1.50907 | + | 1.34890i | ||||
\(521\) | −7.29580 | − | 29.0157i | −0.319635 | − | 1.27120i | −0.892312 | − | 0.451419i | \(-0.850918\pi\) |
0.572678 | − | 0.819781i | \(-0.305905\pi\) | |||||||
\(522\) | −2.25830 | + | 5.64255i | −0.0988432 | + | 0.246968i | ||||
\(523\) | −8.68876 | − | 18.2339i | −0.379933 | − | 0.797312i | −0.999919 | − | 0.0126992i | \(-0.995958\pi\) |
0.619986 | − | 0.784613i | \(-0.287138\pi\) | |||||||
\(524\) | −29.5103 | − | 60.9223i | −1.28917 | − | 2.66141i | ||||
\(525\) | 1.79942 | + | 1.07243i | 0.0785331 | + | 0.0468045i | ||||
\(526\) | −57.6268 | − | 4.80440i | −2.51265 | − | 0.209482i | ||||
\(527\) | 3.61064 | + | 2.27909i | 0.157282 | + | 0.0992786i | ||||
\(528\) | −3.88024 | + | 12.6547i | −0.168866 | + | 0.550724i | ||||
\(529\) | −8.04936 | + | 1.72530i | −0.349972 | + | 0.0750132i | ||||
\(530\) | −25.3348 | − | 4.25393i | −1.10047 | − | 0.184779i | ||||
\(531\) | −2.41580 | − | 4.75255i | −0.104837 | − | 0.206243i | ||||
\(532\) | 13.0347 | + | 2.01751i | 0.565128 | + | 0.0874700i | ||||
\(533\) | −13.3645 | − | 18.5690i | −0.578880 | − | 0.804312i | ||||
\(534\) | −28.4246 | + | 4.39954i | −1.23005 | + | 0.190387i | ||||
\(535\) | 23.0677 | + | 23.4396i | 0.997303 | + | 1.01338i | ||||
\(536\) | −5.65447 | + | 21.3301i | −0.244236 | + | 0.921319i | ||||
\(537\) | 9.33184 | + | 13.3222i | 0.402698 | + | 0.574896i | ||||
\(538\) | −42.7830 | + | 18.2447i | −1.84450 | + | 0.786585i | ||||
\(539\) | −17.3851 | − | 22.5942i | −0.748828 | − | 0.973203i | ||||
\(540\) | −13.0443 | − | 33.2066i | −0.561338 | − | 1.42899i | ||||
\(541\) | −9.40533 | + | 9.80486i | −0.404367 | + | 0.421544i | −0.892375 | − | 0.451295i | \(-0.850962\pi\) |
0.488008 | + | 0.872839i | \(0.337724\pi\) | |||||||
\(542\) | −21.5030 | + | 68.5599i | −0.923635 | + | 2.94490i | ||||
\(543\) | −0.284744 | + | 5.92914i | −0.0122195 | + | 0.254444i | ||||
\(544\) | 3.93032 | − | 1.52942i | 0.168511 | − | 0.0655735i | ||||
\(545\) | −19.7158 | + | 2.28077i | −0.844531 | + | 0.0976973i | ||||
\(546\) | 9.60076 | − | 15.7631i | 0.410875 | − | 0.674597i | ||||
\(547\) | 0.139549 | + | 2.56338i | 0.00596671 | + | 0.109602i | 1.00000 | 0.000523753i | \(0.000166716\pi\) | |
−0.994033 | + | 0.109078i | \(0.965210\pi\) | |||||||
\(548\) | 5.57025 | − | 42.2233i | 0.237949 | − | 1.80369i | ||||
\(549\) | −0.564279 | + | 3.57011i | −0.0240828 | + | 0.152368i | ||||
\(550\) | 18.8579 | − | 0.241332i | 0.804103 | − | 0.0102904i | ||||
\(551\) | −27.1566 | + | 8.80451i | −1.15691 | + | 0.375085i | ||||
\(552\) | −6.66175 | − | 33.7021i | −0.283543 | − | 1.43446i | ||||
\(553\) | −1.21743 | + | 4.26053i | −0.0517702 | + | 0.181176i | ||||
\(554\) | 5.27759 | + | 38.1221i | 0.224223 | + | 1.61965i | ||||
\(555\) | −9.45259 | + | 8.23413i | −0.401240 | + | 0.349519i | ||||
\(556\) | −72.1261 | + | 34.0866i | −3.05883 | + | 1.44559i | ||||
\(557\) | −0.724442 | + | 4.78164i | −0.0306956 | + | 0.202605i | −0.998861 | − | 0.0477048i | \(-0.984809\pi\) |
0.968166 | + | 0.250309i | \(0.0805323\pi\) | |||||||
\(558\) | 2.54565 | + | 2.39543i | 0.107766 | + | 0.101407i | ||||
\(559\) | 10.4233 | − | 45.0972i | 0.440860 | − | 1.90741i | ||||
\(560\) | −1.63418 | + | 1.81650i | −0.0690568 | + | 0.0767611i | ||||
\(561\) | 9.04861 | + | 1.45988i | 0.382033 | + | 0.0616361i | ||||
\(562\) | −34.3428 | + | 3.52813i | −1.44866 | + | 0.148825i | ||||
\(563\) | 0.555755 | − | 0.815410i | 0.0234223 | − | 0.0343654i | −0.814435 | − | 0.580255i | \(-0.802953\pi\) |
0.837857 | + | 0.545890i | \(0.183808\pi\) | |||||||
\(564\) | 53.2215 | − | 45.1764i | 2.24103 | − | 1.90227i | ||||
\(565\) | 8.23875 | − | 4.83900i | 0.346607 | − | 0.203578i | ||||
\(566\) | −9.28628 | + | 6.02917i | −0.390331 | + | 0.253425i | ||||
\(567\) | 3.35442 | + | 4.24597i | 0.140872 | + | 0.178314i | ||||
\(568\) | −2.80554 | + | 9.58571i | −0.117718 | + | 0.402207i | ||||
\(569\) | −6.51851 | − | 19.0609i | −0.273270 | − | 0.799074i | −0.994343 | − | 0.106215i | \(-0.966127\pi\) |
0.721073 | − | 0.692859i | \(-0.243649\pi\) | |||||||
\(570\) | 16.3266 | − | 29.7250i | 0.683846 | − | 1.24504i | ||||
\(571\) | 14.1580 | + | 22.9141i | 0.592493 | + | 0.958924i | 0.998975 | + | 0.0452653i | \(0.0144133\pi\) |
−0.406482 | + | 0.913659i | \(0.633245\pi\) | |||||||
\(572\) | −0.342531 | − | 107.068i | −0.0143219 | − | 4.47674i | ||||
\(573\) | −10.4273 | − | 16.1735i | −0.435608 | − | 0.675658i | ||||
\(574\) | −3.92948 | − | 4.36787i | −0.164013 | − | 0.182311i | ||||
\(575\) | −8.82858 | + | 4.88597i | −0.368177 | + | 0.203759i | ||||
\(576\) | 5.06321 | − | 0.916926i | 0.210967 | − | 0.0382052i | ||||
\(577\) | 4.64423 | − | 1.02657i | 0.193342 | − | 0.0427367i | −0.118101 | − | 0.993002i | \(-0.537681\pi\) |
0.311443 | + | 0.950265i | \(0.399188\pi\) | |||||||
\(578\) | −17.6722 | − | 31.6926i | −0.735066 | − | 1.31824i | ||||
\(579\) | 5.33900 | + | 17.4122i | 0.221881 | + | 0.723625i | ||||
\(580\) | 9.68249 | − | 35.6035i | 0.402043 | − | 1.47835i | ||||
\(581\) | 1.11716 | − | 8.90743i | 0.0463478 | − | 0.369542i | ||||
\(582\) | 3.56706 | − | 3.57849i | 0.147859 | − | 0.148333i | ||||
\(583\) | 20.7897 | − | 16.7509i | 0.861021 | − | 0.693752i | ||||
\(584\) | 57.3591 | + | 1.10115i | 2.37354 | + | 0.0455658i | ||||
\(585\) | 3.37065 | + | 4.21085i | 0.139359 | + | 0.174097i | ||||
\(586\) | 3.94052 | − | 58.5655i | 0.162781 | − | 2.41932i | ||||
\(587\) | −1.75059 | + | 10.6340i | −0.0722545 | + | 0.438913i | 0.925878 | + | 0.377823i | \(0.123327\pi\) |
−0.998132 | + | 0.0610898i | \(0.980542\pi\) | |||||||
\(588\) | −15.8929 | + | 33.9092i | −0.655412 | + | 1.39839i | ||||
\(589\) | −0.997407 | + | 16.3887i | −0.0410974 | + | 0.675286i | ||||
\(590\) | 27.7561 | + | 41.8653i | 1.14270 | + | 1.72357i | ||||
\(591\) | 19.1522 | + | 4.88089i | 0.787816 | + | 0.200773i | ||||
\(592\) | 4.11713 | + | 7.16633i | 0.169213 | + | 0.294534i | ||||
\(593\) | −12.5431 | + | 14.6813i | −0.515084 | + | 0.602890i | −0.955532 | − | 0.294888i | \(-0.904718\pi\) |
0.440448 | + | 0.897778i | \(0.354820\pi\) | |||||||
\(594\) | 54.0179 | + | 19.8351i | 2.21638 | + | 0.813843i | ||||
\(595\) | 1.40116 | + | 0.948433i | 0.0574421 | + | 0.0388820i | ||||
\(596\) | 13.8903 | − | 33.4584i | 0.568969 | − | 1.37051i | ||||
\(597\) | −19.0336 | + | 10.0614i | −0.778993 | + | 0.411786i | ||||
\(598\) | 42.3012 | + | 78.1972i | 1.72982 | + | 3.19772i | ||||
\(599\) | 5.58910 | + | 14.5000i | 0.228364 | + | 0.592454i | 0.998995 | − | 0.0448290i | \(-0.0142743\pi\) |
−0.770630 | + | 0.637283i | \(0.780058\pi\) | |||||||
\(600\) | −5.21836 | − | 9.79582i | −0.213039 | − | 0.399913i | ||||
\(601\) | −17.6449 | + | 16.8179i | −0.719752 | + | 0.686015i | −0.958509 | − | 0.285064i | \(-0.907985\pi\) |
0.238757 | + | 0.971079i | \(0.423260\pi\) | |||||||
\(602\) | 1.40373 | − | 11.8034i | 0.0572116 | − | 0.481071i | ||||
\(603\) | 2.45302 | + | 0.795300i | 0.0998948 | + | 0.0323871i | ||||
\(604\) | −26.1942 | − | 8.12356i | −1.06583 | − | 0.330543i | ||||
\(605\) | 9.82761 | − | 11.3550i | 0.399549 | − | 0.461647i | ||||
\(606\) | −35.4068 | + | 3.86653i | −1.43830 | + | 0.157067i | ||||
\(607\) | 10.1524 | + | 8.18007i | 0.412071 | + | 0.332019i | 0.811087 | − | 0.584925i | \(-0.198876\pi\) |
−0.399016 | + | 0.916944i | \(0.630648\pi\) | |||||||
\(608\) | 12.4309 | + | 10.4157i | 0.504139 | + | 0.422412i | ||||
\(609\) | 0.190296 | + | 6.60737i | 0.00771118 | + | 0.267744i | ||||
\(610\) | 1.41589 | − | 34.0250i | 0.0573278 | − | 1.37763i | ||||
\(611\) | −43.4221 | + | 68.3063i | −1.75667 | + | 2.76338i | ||||
\(612\) | 0.661464 | + | 2.01819i | 0.0267381 | + | 0.0815804i | ||||
\(613\) | 30.0436 | + | 23.5795i | 1.21345 | + | 0.952365i | 0.999699 | − | 0.0245227i | \(-0.00780660\pi\) |
0.213751 | + | 0.976888i | \(0.431432\pi\) | |||||||
\(614\) | 31.2178 | + | 63.4100i | 1.25985 | + | 2.55902i | ||||
\(615\) | −9.02510 | + | 3.64563i | −0.363927 | + | 0.147006i | ||||
\(616\) | −1.37645 | − | 12.2415i | −0.0554589 | − | 0.493224i | ||||
\(617\) | −22.7866 | + | 0.729232i | −0.917353 | + | 0.0293578i | −0.487096 | − | 0.873349i | \(-0.661944\pi\) |
−0.430257 | + | 0.902706i | \(0.641577\pi\) | |||||||
\(618\) | −10.3476 | + | 3.95058i | −0.416243 | + | 0.158916i | ||||
\(619\) | −11.8497 | − | 4.43740i | −0.476281 | − | 0.178354i | 0.101022 | − | 0.994884i | \(-0.467789\pi\) |
−0.577303 | + | 0.816530i | \(0.695895\pi\) | |||||||
\(620\) | −17.0229 | − | 12.6700i | −0.683657 | − | 0.508838i | ||||
\(621\) | −30.4837 | + | 4.31956i | −1.22327 | + | 0.173338i | ||||
\(622\) | −14.6701 | − | 53.9435i | −0.588218 | − | 2.16294i | ||||
\(623\) | 4.66636 | − | 2.94547i | 0.186954 | − | 0.118008i | ||||
\(624\) | −17.8821 | + | 9.30682i | −0.715857 | + | 0.372571i | ||||
\(625\) | 8.85862 | − | 9.11743i | 0.354345 | − | 0.364697i | ||||
\(626\) | −25.7056 | + | 44.7435i | −1.02740 | + | 1.78831i | ||||
\(627\) | 11.8308 | + | 33.2007i | 0.472475 | + | 1.32591i | ||||
\(628\) | 3.55853 | + | 35.7638i | 0.142001 | + | 1.42713i | ||||
\(629\) | 4.52461 | − | 3.50455i | 0.180408 | − | 0.139735i | ||||
\(630\) | 0.977880 | + | 0.981014i | 0.0389597 | + | 0.0390845i | ||||
\(631\) | 20.3901 | + | 2.22666i | 0.811718 | + | 0.0886421i | 0.504957 | − | 0.863144i | \(-0.331508\pi\) |
0.306761 | + | 0.951787i | \(0.400755\pi\) | |||||||
\(632\) | 17.2008 | − | 15.9795i | 0.684211 | − | 0.635631i | ||||
\(633\) | 8.61188 | − | 23.6871i | 0.342291 | − | 0.941479i | ||||
\(634\) | −5.03405 | − | 34.7257i | −0.199927 | − | 1.37913i | ||||
\(635\) | −10.6194 | − | 2.06381i | −0.421418 | − | 0.0818998i | ||||
\(636\) | −32.0814 | − | 14.1689i | −1.27211 | − | 0.561834i | ||||
\(637\) | 5.95414 | − | 43.0091i | 0.235912 | − | 1.70408i | ||||
\(638\) | 32.5667 | + | 49.8104i | 1.28933 | + | 1.97201i | ||||
\(639\) | 1.10070 | + | 0.388261i | 0.0435432 | + | 0.0153594i | ||||
\(640\) | −35.3237 | + | 10.7076i | −1.39629 | + | 0.423255i | ||||
\(641\) | 27.7477 | + | 12.6817i | 1.09597 | + | 0.500897i | 0.879744 | − | 0.475447i | \(-0.157714\pi\) |
0.216224 | + | 0.976344i | \(0.430626\pi\) | |||||||
\(642\) | 35.0965 | + | 60.1945i | 1.38515 | + | 2.37569i | ||||
\(643\) | −14.4818 | + | 13.6273i | −0.571107 | + | 0.537406i | −0.915970 | − | 0.401247i | \(-0.868577\pi\) |
0.344863 | + | 0.938653i | \(0.387925\pi\) | |||||||
\(644\) | 8.36287 | + | 12.1030i | 0.329543 | + | 0.476924i | ||||
\(645\) | −17.5832 | − | 8.86716i | −0.692337 | − | 0.349144i | ||||
\(646\) | −8.22228 | + | 13.1189i | −0.323501 | + | 0.516158i | ||||
\(647\) | −0.111929 | − | 0.0866946i | −0.00440037 | − | 0.00340832i | 0.610148 | − | 0.792287i | \(-0.291110\pi\) |
−0.614549 | + | 0.788879i | \(0.710662\pi\) | |||||||
\(648\) | −3.56794 | − | 28.4481i | −0.140162 | − | 1.11755i | ||||
\(649\) | −51.6871 | − | 7.32411i | −2.02890 | − | 0.287496i | ||||
\(650\) | 20.4077 | + | 20.2128i | 0.800457 | + | 0.792811i | ||||
\(651\) | 3.57703 | + | 1.28755i | 0.140195 | + | 0.0504631i | ||||
\(652\) | 57.7699 | + | 24.2002i | 2.26245 | + | 0.947753i | ||||
\(653\) | −3.92817 | − | 45.3634i | −0.153721 | − | 1.77521i | −0.529317 | − | 0.848424i | \(-0.677552\pi\) |
0.375596 | − | 0.926784i | \(-0.377438\pi\) | |||||||
\(654\) | −41.6724 | − | 5.63328i | −1.62952 | − | 0.220279i | ||||
\(655\) | 29.1120 | − | 16.3556i | 1.13750 | − | 0.639064i | ||||
\(656\) | 1.20408 | + | 6.30323i | 0.0470113 | + | 0.246100i | ||||
\(657\) | 0.492857 | − | 6.68606i | 0.0192282 | − | 0.260848i | ||||
\(658\) | −9.18092 | + | 18.6484i | −0.357909 | + | 0.726990i | ||||
\(659\) | 17.1960 | − | 8.26179i | 0.669860 | − | 0.321833i | −0.0671234 | − | 0.997745i | \(-0.521382\pi\) |
0.736983 | + | 0.675911i | \(0.236250\pi\) | |||||||
\(660\) | −44.2819 | − | 10.6836i | −1.72367 | − | 0.415859i | ||||
\(661\) | −6.33605 | + | 8.45627i | −0.246444 | + | 0.328911i | −0.906422 | − | 0.422374i | \(-0.861197\pi\) |
0.659978 | + | 0.751285i | \(0.270566\pi\) | |||||||
\(662\) | 14.5373 | − | 16.5811i | 0.565008 | − | 0.644442i | ||||
\(663\) | 8.08184 | + | 11.3820i | 0.313873 | + | 0.442041i | ||||
\(664\) | −29.4865 | + | 37.3235i | −1.14430 | + | 1.44843i | ||||
\(665\) | −0.602768 | + | 6.47837i | −0.0233744 | + | 0.251220i | ||||
\(666\) | 4.18341 | − | 2.10968i | 0.162104 | − | 0.0817486i | ||||
\(667\) | −27.9571 | − | 15.2393i | −1.08250 | − | 0.590070i | ||||
\(668\) | 6.10722 | − | 12.2073i | 0.236295 | − | 0.472315i | ||||
\(669\) | 24.6957 | − | 11.0964i | 0.954792 | − | 0.429011i | ||||
\(670\) | −23.8199 | − | 4.78760i | −0.920242 | − | 0.184961i | ||||
\(671\) | 25.4623 | + | 24.5817i | 0.982963 | + | 0.948966i | ||||
\(672\) | 3.12307 | − | 2.08496i | 0.120475 | − | 0.0804291i | ||||
\(673\) | −3.90796 | + | 11.9235i | −0.150641 | + | 0.459618i | −0.997376 | − | 0.0723960i | \(-0.976935\pi\) |
0.846735 | + | 0.532014i | \(0.178565\pi\) | |||||||
\(674\) | 5.81250 | + | 7.07389i | 0.223889 | + | 0.272476i | ||||
\(675\) | −9.02023 | + | 4.19255i | −0.347189 | + | 0.161371i | ||||
\(676\) | 82.3922 | − | 81.6052i | 3.16893 | − | 3.13866i | ||||
\(677\) | −18.4978 | + | 13.7677i | −0.710926 | + | 0.529134i | −0.890710 | − | 0.454572i | \(-0.849792\pi\) |
0.179784 | + | 0.983706i | \(0.442460\pi\) | |||||||
\(678\) | 19.4472 | − | 5.62430i | 0.746864 | − | 0.216000i | ||||
\(679\) | −0.354421 | + | 0.902241i | −0.0136014 | + | 0.0346248i | ||||
\(680\) | −3.75261 | − | 8.14174i | −0.143906 | − | 0.312222i | ||||
\(681\) | −0.903775 | − | 40.3507i | −0.0346327 | − | 1.54624i | ||||
\(682\) | 33.5124 | − | 6.95909i | 1.28325 | − | 0.266477i | ||||
\(683\) | 1.94825 | − | 2.05720i | 0.0745477 | − | 0.0787164i | −0.687730 | − | 0.725967i | \(-0.741393\pi\) |
0.762278 | + | 0.647250i | \(0.224081\pi\) | |||||||
\(684\) | −5.57771 | + | 5.96561i | −0.213269 | + | 0.228101i | ||||
\(685\) | 20.9564 | + | 1.47739i | 0.800702 | + | 0.0564481i | ||||
\(686\) | 0.668185 | − | 23.2004i | 0.0255114 | − | 0.885796i | ||||
\(687\) | −4.94949 | + | 5.57299i | −0.188835 | + | 0.212623i | ||||
\(688\) | −7.98291 | + | 10.2386i | −0.304345 | + | 0.390345i | ||||
\(689\) | 40.3929 | + | 4.67275i | 1.53885 | + | 0.178017i | ||||
\(690\) | 36.5929 | − | 9.57537i | 1.39307 | − | 0.364528i | ||||
\(691\) | −0.371600 | − | 1.18480i | −0.0141363 | − | 0.0450720i | 0.946836 | − | 0.321717i | \(-0.104260\pi\) |
−0.960972 | + | 0.276645i | \(0.910777\pi\) | |||||||
\(692\) | 76.6032 | + | 38.0180i | 2.91202 | + | 1.44523i | ||||
\(693\) | −1.43717 | + | 0.0828511i | −0.0545934 | + | 0.00314725i | ||||
\(694\) | −38.6165 | + | 42.3763i | −1.46586 | + | 1.60858i | ||||
\(695\) | −18.9445 | − | 34.4913i | −0.718605 | − | 1.30833i | ||||
\(696\) | 17.2524 | − | 30.4797i | 0.653952 | − | 1.15533i | ||||
\(697\) | 4.20921 | − | 1.42445i | 0.159435 | − | 0.0539551i | ||||
\(698\) | 20.6598 | + | 3.74140i | 0.781986 | + | 0.141614i | ||||
\(699\) | 22.5943 | − | 0.867826i | 0.854596 | − | 0.0328242i | ||||
\(700\) | 3.71999 | + | 2.95826i | 0.140602 | + | 0.111812i | ||||
\(701\) | 3.67198 | + | 2.22041i | 0.138689 | + | 0.0838637i | 0.585086 | − | 0.810971i | \(-0.301061\pi\) |
−0.446397 | + | 0.894835i | \(0.647293\pi\) | |||||||
\(702\) | 36.1756 | + | 79.8272i | 1.36536 | + | 3.01288i | ||||
\(703\) | 20.1882 | + | 8.76228i | 0.761411 | + | 0.330476i | ||||
\(704\) | 21.0904 | − | 45.7582i | 0.794874 | − | 1.72458i | ||||
\(705\) | 23.8383 | + | 24.8509i | 0.897802 | + | 0.935940i | ||||
\(706\) | 35.4271 | − | 17.5824i | 1.33332 | − | 0.661722i | ||||
\(707\) | 5.93585 | − | 3.38500i | 0.223241 | − | 0.127306i | ||||
\(708\) | 22.6043 | + | 64.7417i | 0.849522 | + | 2.43314i | ||||
\(709\) | −24.4267 | + | 4.74716i | −0.917362 | + | 0.178283i | −0.627348 | − | 0.778739i | \(-0.715860\pi\) |
−0.290014 | + | 0.957022i | \(0.593660\pi\) | |||||||
\(710\) | −10.7223 | − | 2.44214i | −0.402401 | − | 0.0916519i | ||||
\(711\) | −1.75533 | − | 2.10862i | −0.0658302 | − | 0.0790793i | ||||
\(712\) | −29.2329 | + | 0.561196i | −1.09555 | + | 0.0210317i | ||||
\(713\) | −14.0367 | + | 11.7612i | −0.525679 | + | 0.440461i | ||||
\(714\) | 2.38052 | + | 2.68040i | 0.0890886 | + | 0.100311i | ||||
\(715\) | 52.7068 | − | 3.37698i | 1.97112 | − | 0.126292i | ||||
\(716\) | 16.9332 | + | 32.7911i | 0.632822 | + | 1.22546i | ||||
\(717\) | −1.06479 | − | 6.21955i | −0.0397653 | − | 0.232273i | ||||
\(718\) | −3.90826 | − | 24.7270i | −0.145855 | − | 0.922802i | ||||
\(719\) | 8.38046 | − | 0.214531i | 0.312538 | − | 0.00800067i | 0.130993 | − | 0.991383i | \(-0.458183\pi\) |
0.181545 | + | 0.983383i | \(0.441890\pi\) | |||||||
\(720\) | −0.359532 | − | 1.46957i | −0.0133990 | − | 0.0547676i | ||||
\(721\) | 1.51931 | − | 1.48566i | 0.0565819 | − | 0.0553288i | ||||
\(722\) | −14.4576 | − | 0.833462i | −0.538054 | − | 0.0310183i | ||||
\(723\) | −17.4955 | − | 9.97701i | −0.650663 | − | 0.371049i | ||||
\(724\) | −2.44240 | + | 13.2450i | −0.0907711 | + | 0.492247i | ||||
\(725\) | −10.0722 | − | 2.09156i | −0.374071 | − | 0.0776786i | ||||
\(726\) | 26.1187 | − | 18.1712i | 0.969356 | − | 0.674395i | ||||
\(727\) | −18.1113 | + | 11.2707i | −0.671712 | + | 0.418008i | −0.821110 | − | 0.570769i | \(-0.806645\pi\) |
0.149399 | + | 0.988777i | \(0.452266\pi\) | |||||||
\(728\) | 11.8179 | − | 14.5717i | 0.438002 | − | 0.540062i | ||||
\(729\) | −29.6698 | + | 2.09167i | −1.09888 | + | 0.0774692i | ||||
\(730\) | 2.62626 | + | 63.1111i | 0.0972023 | + | 2.33585i | ||||
\(731\) | 7.78099 | + | 4.50343i | 0.287790 | + | 0.166565i | ||||
\(732\) | 13.3443 | − | 44.5346i | 0.493219 | − | 1.64605i | ||||
\(733\) | 23.5394 | − | 42.2146i | 0.869449 | − | 1.55923i | 0.0410062 | − | 0.999159i | \(-0.486944\pi\) |
0.828442 | − | 0.560074i | \(-0.189227\pi\) | |||||||
\(734\) | −40.0371 | − | 8.58157i | −1.47780 | − | 0.316752i | ||||
\(735\) | −17.1721 | − | 6.80908i | −0.633402 | − | 0.251157i | ||||
\(736\) | 1.09880 | + | 18.0547i | 0.0405023 | + | 0.665507i | ||||
\(737\) | 20.1589 | − | 15.2055i | 0.742564 | − | 0.560100i | ||||
\(738\) | 3.60508 | − | 0.487335i | 0.132705 | − | 0.0179390i | ||||
\(739\) | −0.153958 | − | 0.686089i | −0.00566345 | − | 0.0252382i | 0.972822 | − | 0.231556i | \(-0.0743816\pi\) |
−0.978485 | + | 0.206318i | \(0.933852\pi\) | |||||||
\(740\) | −23.7567 | + | 15.6412i | −0.873314 | + | 0.574981i | ||||
\(741\) | −23.4013 | + | 48.3106i | −0.859668 | + | 1.77473i | ||||
\(742\) | 10.4421 | + | 0.0668134i | 0.383343 | + | 0.00245280i | ||||
\(743\) | 21.1624 | + | 22.6341i | 0.776373 | + | 0.830366i | 0.989177 | − | 0.146729i | \(-0.0468744\pi\) |
−0.212803 | + | 0.977095i | \(0.568259\pi\) | |||||||
\(744\) | −12.6883 | − | 15.6448i | −0.465174 | − | 0.573566i | ||||
\(745\) | 16.8901 | + | 5.83657i | 0.618807 | + | 0.213835i | ||||
\(746\) | −12.4840 | − | 4.76620i | −0.457071 | − | 0.174503i | ||||
\(747\) | 4.16786 | + | 3.67778i | 0.152494 | + | 0.134563i | ||||
\(748\) | 19.9019 | + | 6.03283i | 0.727685 | + | 0.220582i | ||||
\(749\) | −10.7745 | − | 7.91272i | −0.393692 | − | 0.289125i | ||||
\(750\) | 39.2626 | − | 24.0861i | 1.43367 | − | 0.879498i | ||||
\(751\) | 0.0498068 | − | 15.5686i | 0.00181748 | − | 0.568105i | −0.957895 | − | 0.287120i | \(-0.907302\pi\) |
0.959712 | − | 0.280985i | \(-0.0906612\pi\) | |||||||
\(752\) | 19.1204 | − | 12.2408i | 0.697249 | − | 0.446378i | ||||
\(753\) | −3.79096 | + | 3.65985i | −0.138150 | + | 0.133372i | ||||
\(754\) | −19.2794 | + | 88.5639i | −0.702114 | + | 3.22531i | ||||
\(755\) | 3.21488 | − | 13.1406i | 0.117001 | − | 0.478237i | ||||
\(756\) | 7.38455 | + | 12.4811i | 0.268573 | + | 0.453934i | ||||
\(757\) | 4.95040 | − | 5.03022i | 0.179925 | − | 0.182827i | −0.616890 | − | 0.787049i | \(-0.711608\pi\) |
0.796816 | + | 0.604222i | \(0.206516\pi\) | |||||||
\(758\) | 36.9396 | − | 51.3248i | 1.34171 | − | 1.86420i | ||||
\(759\) | −17.8130 | + | 35.0431i | −0.646572 | + | 1.27199i | ||||
\(760\) | 20.4945 | − | 27.7204i | 0.743414 | − | 1.00553i | ||||
\(761\) | 16.5977 | − | 24.6904i | 0.601667 | − | 0.895025i | −0.398083 | − | 0.917349i | \(-0.630325\pi\) |
0.999751 | + | 0.0223242i | \(0.00710661\pi\) | |||||||
\(762\) | −20.7232 | − | 9.79372i | −0.750721 | − | 0.354789i | ||||
\(763\) | 7.76417 | − | 2.19173i | 0.281082 | − | 0.0793461i | ||||
\(764\) | −18.5297 | − | 39.5352i | −0.670382 | − | 1.43033i | ||||
\(765\) | −0.973873 | + | 0.386160i | −0.0352104 | + | 0.0139617i | ||||
\(766\) | 78.8865 | − | 13.2458i | 2.85029 | − | 0.478589i | ||||
\(767\) | −47.2665 | − | 63.9316i | −1.70669 | − | 2.30844i | ||||
\(768\) | −41.6302 | + | 1.86580i | −1.50220 | + | 0.0673263i | ||||
\(769\) | −17.7566 | − | 10.4293i | −0.640319 | − | 0.376089i | 0.150087 | − | 0.988673i | \(-0.452045\pi\) |
−0.790406 | + | 0.612584i | \(0.790130\pi\) | |||||||
\(770\) | 13.3613 | − | 2.33148i | 0.481508 | − | 0.0840207i | ||||
\(771\) | −12.2212 | + | 1.17654i | −0.440134 | + | 0.0423722i | ||||
\(772\) | 6.71222 | + | 40.7737i | 0.241578 | + | 1.46748i | ||||
\(773\) | 36.8557 | + | 10.4039i | 1.32561 | + | 0.374204i | 0.859777 | − | 0.510670i | \(-0.170602\pi\) |
0.465832 | + | 0.884873i | \(0.345755\pi\) | |||||||
\(774\) | 5.54964 | + | 4.83428i | 0.199478 | + | 0.173765i | ||||
\(775\) | −3.23764 | + | 4.95194i | −0.116300 | + | 0.177879i | ||||
\(776\) | 4.08060 | − | 3.11907i | 0.146485 | − | 0.111968i | ||||
\(777\) | 3.26017 | − | 3.91631i | 0.116958 | − | 0.140497i | ||||
\(778\) | −16.4262 | + | 20.5207i | −0.588907 | + | 0.735703i | ||||
\(779\) | 12.5934 | + | 11.5500i | 0.451204 | + | 0.413822i | ||||
\(780\) | −35.7088 | − | 59.4821i | −1.27858 | − | 2.12980i | ||||
\(781\) | 9.29741 | − | 6.64650i | 0.332688 | − | 0.237831i | ||||
\(782\) | −16.9297 | + | 3.40274i | −0.605406 | + | 0.121682i | ||||
\(783\) | −26.4350 | − | 16.9236i | −0.944708 | − | 0.604800i | ||||
\(784\) | −6.59926 | + | 10.2359i | −0.235688 | + | 0.365567i | ||||
\(785\) | −17.5024 | + | 2.82379i | −0.624687 | + | 0.100785i | ||||
\(786\) | 68.3286 | − | 18.3476i | 2.43720 | − | 0.654439i | ||||
\(787\) | 0.0445964 | + | 0.604991i | 0.00158969 | + | 0.0215656i | 0.998031 | − | 0.0627276i | \(-0.0199799\pi\) |
−0.996441 | + | 0.0842932i | \(0.973137\pi\) | |||||||
\(788\) | 41.5798 | + | 16.7959i | 1.48122 | + | 0.598329i | ||||
\(789\) | 10.4594 | − | 37.5109i | 0.372366 | − | 1.33542i | ||||
\(790\) | 18.7119 | + | 17.8348i | 0.665739 | + | 0.634535i | ||||
\(791\) | −2.99287 | + | 2.47528i | −0.106414 | + | 0.0880106i | ||||
\(792\) | 6.74329 | + | 3.56459i | 0.239612 | + | 0.126662i | ||||
\(793\) | 0.517326 | + | 53.9003i | 0.0183708 | + | 1.91406i | ||||
\(794\) | −33.5985 | − | 13.8226i | −1.19237 | − | 0.490546i | ||||
\(795\) | 6.01502 | − | 16.2205i | 0.213331 | − | 0.575281i | ||||
\(796\) | −45.8548 | + | 16.8376i | −1.62528 | + | 0.596793i | ||||
\(797\) | 6.18293 | + | 1.53364i | 0.219011 | + | 0.0543244i | 0.348717 | − | 0.937228i | \(-0.386617\pi\) |
−0.129707 | + | 0.991552i | \(0.541404\pi\) | |||||||
\(798\) | −4.62727 | + | 12.9855i | −0.163804 | + | 0.459683i | ||||
\(799\) | −10.2119 | − | 11.9528i | −0.361273 | − | 0.422859i | ||||
\(800\) | 2.03187 | + | 5.47926i | 0.0718374 | + | 0.193721i | ||||
\(801\) | −0.120215 | + | 3.41466i | −0.00424758 | + | 0.120651i | ||||
\(802\) | 9.10229 | + | 18.1940i | 0.321413 | + | 0.642452i | ||||
\(803\) | −50.8536 | − | 41.5137i | −1.79458 | − | 1.46499i | ||||
\(804\) | −29.8974 | − | 14.3642i | −1.05440 | − | 0.506586i | ||||
\(805\) | −5.70854 | + | 4.48029i | −0.201199 | + | 0.157910i | ||||
\(806\) | 43.3552 | + | 28.9440i | 1.52712 | + | 1.01951i | ||||
\(807\) | −6.66229 | − | 30.6046i | −0.234524 | − | 1.07733i | ||||
\(808\) | −36.1938 | − | 0.926526i | −1.27329 | − | 0.0325951i | ||||
\(809\) | −2.88313 | − | 21.8545i | −0.101366 | − | 0.768365i | −0.964629 | − | 0.263611i | \(-0.915086\pi\) |
0.863263 | − | 0.504754i | \(-0.168417\pi\) | |||||||
\(810\) | 31.0257 | − | 5.82388i | 1.09013 | − | 0.204630i | ||||
\(811\) | −0.162583 | + | 10.1632i | −0.00570907 | + | 0.356878i | 0.980966 | + | 0.194177i | \(0.0622037\pi\) |
−0.986676 | + | 0.162700i | \(0.947980\pi\) | |||||||
\(812\) | −1.58043 | + | 14.9144i | −0.0554622 | + | 0.523392i | ||||
\(813\) | −42.6328 | − | 22.8864i | −1.49520 | − | 0.802662i | ||||
\(814\) | 6.58187 | − | 45.4029i | 0.230694 | − | 1.59137i | ||||
\(815\) | −10.1843 | + | 29.1693i | −0.356742 | + | 1.02176i | ||||
\(816\) | −0.710059 | − | 3.85061i | −0.0248571 | − | 0.134798i | ||||
\(817\) | −0.774132 | + | 34.5626i | −0.0270835 | + | 1.20919i | ||||
\(818\) | −35.6747 | + | 15.4839i | −1.24734 | + | 0.541382i | ||||
\(819\) | −1.62525 | − | 1.47156i | −0.0567909 | − | 0.0514206i | ||||
\(820\) | −21.4008 | + | 5.45395i | −0.747350 | + | 0.190460i | ||||
\(821\) | 15.4658 | + | 15.9177i | 0.539761 | + | 0.555531i | 0.931123 | − | 0.364707i | \(-0.118831\pi\) |
−0.391361 | + | 0.920237i | \(0.627996\pi\) | |||||||
\(822\) | 42.2531 | + | 13.9984i | 1.47375 | + | 0.488250i | ||||
\(823\) | −33.1897 | + | 45.4977i | −1.15692 | + | 1.58595i | −0.423955 | + | 0.905683i | \(0.639358\pi\) |
−0.732964 | + | 0.680268i | \(0.761864\pi\) | |||||||
\(824\) | −10.9617 | + | 2.57056i | −0.381870 | + | 0.0895497i | ||||
\(825\) | −2.22318 | + | 12.5043i | −0.0774011 | + | 0.435343i | ||||
\(826\) | −13.8489 | − | 15.0033i | −0.481865 | − | 0.522032i | ||||
\(827\) | −10.1786 | + | 21.3603i | −0.353944 | + | 0.742772i | −0.999786 | − | 0.0206994i | \(-0.993411\pi\) |
0.645842 | + | 0.763471i | \(0.276506\pi\) | |||||||
\(828\) | −9.10871 | + | 0.0582816i | −0.316550 | + | 0.00202542i | ||||
\(829\) | 27.6113 | + | 29.1553i | 0.958980 | + | 1.01261i | 0.999910 | + | 0.0134443i | \(0.00427958\pi\) |
−0.0409299 | + | 0.999162i | \(0.513032\pi\) | |||||||
\(830\) | −42.9906 | − | 29.9092i | −1.49223 | − | 1.03816i | ||||
\(831\) | −25.8832 | − | 1.32604i | −0.897879 | − | 0.0459998i | ||||
\(832\) | 72.2021 | − | 25.9891i | 2.50316 | − | 0.901012i | ||||
\(833\) | 7.64771 | + | 3.55461i | 0.264977 | + | 0.123160i | ||||
\(834\) | −20.8485 | − | 80.7275i | −0.721923 | − | 2.79536i | ||||
\(835\) | 6.19352 | + | 2.64121i | 0.214335 | + | 0.0914029i | ||||
\(836\) | 16.5099 | + | 78.2471i | 0.571006 | + | 2.70623i | ||||
\(837\) | −14.6182 | + | 10.5922i | −0.505280 | + | 0.366121i | ||||
\(838\) | −20.4767 | − | 51.1626i | −0.707354 | − | 1.76738i | ||||
\(839\) | 23.3802 | − | 25.3292i | 0.807175 | − | 0.874459i | −0.186986 | − | 0.982363i | \(-0.559872\pi\) |
0.994161 | + | 0.107903i | \(0.0344137\pi\) | |||||||
\(840\) | −4.82708 | − | 6.35719i | −0.166550 | − | 0.219344i | ||||
\(841\) | −1.22420 | − | 3.23755i | −0.0422137 | − | 0.111640i | ||||
\(842\) | 18.6076 | − | 82.9218i | 0.641262 | − | 2.85767i | ||||
\(843\) | 2.00570 | − | 23.1623i | 0.0690798 | − | 0.797751i | ||||
\(844\) | 26.5633 | − | 50.6425i | 0.914347 | − | 1.74319i | ||||
\(845\) | 42.6488 | + | 38.1221i | 1.46716 | + | 1.31144i | ||||
\(846\) | −6.33978 | − | 11.2004i | −0.217966 | − | 0.385078i | ||||
\(847\) | −3.20860 | + | 5.19299i | −0.110249 | + | 0.178433i | ||||
\(848\) | −9.72192 | − | 5.96402i | −0.333852 | − | 0.204805i | ||||
\(849\) | −2.81469 | − | 6.90435i | −0.0966000 | − | 0.236957i | ||||
\(850\) | −4.91550 | + | 2.63877i | −0.168600 | + | 0.0905092i | ||||
\(851\) | 8.38700 | + | 23.0686i | 0.287503 | + | 0.790782i | ||||
\(852\) | −13.3613 | − | 6.84565i | −0.457750 | − | 0.234528i | ||||
\(853\) | −5.19036 | + | 26.2583i | −0.177714 | + | 0.899067i | 0.783105 | + | 0.621890i | \(0.213635\pi\) |
−0.960819 | + | 0.277177i | \(0.910601\pi\) | |||||||
\(854\) | 1.63472 | + | 13.7457i | 0.0559389 | + | 0.470369i | ||||
\(855\) | −3.10442 | − | 2.56753i | −0.106169 | − | 0.0878078i | ||||
\(856\) | 27.1578 | + | 65.4166i | 0.928234 | + | 2.23589i | ||||
\(857\) | −4.48138 | + | 21.9329i | −0.153081 | + | 0.749214i | 0.828774 | + | 0.559583i | \(0.189039\pi\) |
−0.981855 | + | 0.189631i | \(0.939271\pi\) | |||||||
\(858\) | 109.981 | + | 20.6447i | 3.75468 | + | 0.704797i | ||||
\(859\) | 0.256743 | − | 4.71611i | 0.00875998 | − | 0.160911i | −0.990895 | − | 0.134638i | \(-0.957013\pi\) |
0.999655 | − | 0.0262733i | \(-0.00836401\pi\) | |||||||
\(860\) | −36.8402 | − | 25.2820i | −1.25624 | − | 0.862109i | ||||
\(861\) | 3.38570 | − | 2.04729i | 0.115384 | − | 0.0697716i | ||||
\(862\) | −2.66956 | − | 0.343493i | −0.0909255 | − | 0.0116994i | ||||
\(863\) | 5.79284 | − | 10.7085i | 0.197190 | − | 0.364523i | −0.761867 | − | 0.647733i | \(-0.775717\pi\) |
0.959058 | + | 0.283210i | \(0.0913995\pi\) | |||||||
\(864\) | −0.171131 | + | 17.8302i | −0.00582199 | + | 0.606595i | ||||
\(865\) | −16.4235 | + | 38.8563i | −0.558415 | + | 1.32115i | ||||
\(866\) | −5.30469 | + | 16.5420i | −0.180261 | + | 0.562119i | ||||
\(867\) | 23.1964 | − | 7.68493i | 0.787792 | − | 0.260994i | ||||
\(868\) | 7.65152 | + | 3.98226i | 0.259709 | + | 0.135167i | ||||
\(869\) | −26.7723 | + | 2.23203i | −0.908188 | + | 0.0757165i | ||||
\(870\) | 34.6510 | + | 16.9218i | 1.17478 | + | 0.573701i | ||||
\(871\) | 38.0415 | + | 5.63903i | 1.28899 | + | 0.191071i | ||||
\(872\) | −41.2119 | − | 11.3495i | −1.39561 | − | 0.384341i | ||||
\(873\) | −0.338033 | − | 0.495966i | −0.0114407 | − | 0.0167859i | ||||
\(874\) | −42.8100 | − | 50.7619i | −1.44807 | − | 1.71705i | ||||
\(875\) | −5.06997 | + | 7.23793i | −0.171396 | + | 0.244687i | ||||
\(876\) | −17.8030 | + | 84.3756i | −0.601507 | + | 2.85079i | ||||
\(877\) | −2.82702 | − | 6.34596i | −0.0954618 | − | 0.214288i | 0.859422 | − | 0.511266i | \(-0.170823\pi\) |
−0.954884 | + | 0.296979i | \(0.904021\pi\) | |||||||
\(878\) | 0.312675 | + | 6.51073i | 0.0105523 | + | 0.219727i | ||||
\(879\) | 38.2410 | + | 10.0066i | 1.28984 | + | 0.337515i | ||||
\(880\) | −13.8058 | − | 5.37230i | −0.465392 | − | 0.181100i | ||||
\(881\) | 12.3687 | − | 27.7647i | 0.416714 | − | 0.935417i | −0.576280 | − | 0.817252i | \(-0.695496\pi\) |
0.992994 | − | 0.118165i | \(-0.0377012\pi\) | |||||||
\(882\) | 5.59071 | + | 4.05097i | 0.188249 | + | 0.136403i | ||||
\(883\) | 5.38510 | − | 21.4168i | 0.181223 | − | 0.720731i | −0.809762 | − | 0.586759i | \(-0.800404\pi\) |
0.990985 | − | 0.133973i | \(-0.0427734\pi\) | |||||||
\(884\) | 14.7123 | + | 28.0487i | 0.494828 | + | 0.943380i | ||||
\(885\) | −31.1995 | + | 13.0697i | −1.04876 | + | 0.439332i | ||||
\(886\) | −68.7783 | + | 3.52362i | −2.31065 | + | 0.118378i | ||||
\(887\) | −19.0553 | − | 11.8581i | −0.639814 | − | 0.398157i | 0.169503 | − | 0.985530i | \(-0.445784\pi\) |
−0.809317 | + | 0.587372i | \(0.800162\pi\) | |||||||
\(888\) | −25.5189 | + | 8.81833i | −0.856358 | + | 0.295924i | ||||
\(889\) | 4.39513 | + | 0.140656i | 0.147408 | + | 0.00471745i | ||||
\(890\) | −2.57197 | − | 32.0893i | −0.0862126 | − | 1.07564i | ||||
\(891\) | −16.8861 | + | 28.1280i | −0.565704 | + | 0.942324i | ||||
\(892\) | 58.9006 | − | 17.4437i | 1.97214 | − | 0.584059i | ||||
\(893\) | 21.3817 | − | 56.5467i | 0.715511 | − | 1.89226i | ||||
\(894\) | 31.6238 | + | 20.8208i | 1.05766 | + | 0.696350i | ||||
\(895\) | −15.6379 | + | 9.31997i | −0.522718 | + | 0.311532i | ||||
\(896\) | 13.4820 | − | 6.58390i | 0.450401 | − | 0.219953i | ||||
\(897\) | −57.0695 | + | 18.1000i | −1.90550 | + | 0.604340i | ||||
\(898\) | −4.98587 | + | 29.1230i | −0.166381 | + | 0.971848i | ||||
\(899\) | −18.6680 | − | 0.238903i | −0.622614 | − | 0.00796785i | ||||
\(900\) | −2.81081 | + | 0.871712i | −0.0936937 | + | 0.0290571i | ||||
\(901\) | −3.16769 | + | 7.23485i | −0.105531 | + | 0.241028i | ||||
\(902\) | 16.3442 | − | 31.6506i | 0.544203 | − | 1.05385i | ||||
\(903\) | 7.63013 | + | 2.41994i | 0.253915 | + | 0.0805307i | ||||
\(904\) | 20.3561 | − | 3.01747i | 0.677035 | − | 0.100359i | ||||
\(905\) | −6.59462 | − | 0.805673i | −0.219213 | − | 0.0267815i | ||||
\(906\) | 13.4762 | − | 25.2973i | 0.447717 | − | 0.840447i | ||||
\(907\) | 5.40813 | + | 19.3953i | 0.179574 | + | 0.644010i | 0.997626 | + | 0.0688659i | \(0.0219381\pi\) |
−0.818052 | + | 0.575144i | \(0.804946\pi\) | |||||||
\(908\) | 10.2325 | − | 91.0025i | 0.339576 | − | 3.02002i | ||||
\(909\) | −0.338031 | + | 4.21746i | −0.0112118 | + | 0.139884i | ||||
\(910\) | 16.8046 | + | 12.0132i | 0.557069 | + | 0.398235i | ||||
\(911\) | 18.8197 | + | 8.45612i | 0.623523 | + | 0.280164i | 0.696931 | − | 0.717138i | \(-0.254548\pi\) |
−0.0734080 | + | 0.997302i | \(0.523388\pi\) | |||||||
\(912\) | 11.6639 | − | 9.52168i | 0.386230 | − | 0.315294i | ||||
\(913\) | 52.9101 | − | 12.7653i | 1.75107 | − | 0.422469i | ||||
\(914\) | −11.8094 | + | 27.4487i | −0.390619 | + | 0.907921i | ||||
\(915\) | 22.3273 | + | 5.23582i | 0.738119 | + | 0.173091i | ||||
\(916\) | −12.8227 | + | 11.0264i | −0.423675 | + | 0.364321i | ||||
\(917\) | −10.6236 | + | 8.44823i | −0.350822 | + | 0.278985i | ||||
\(918\) | −16.8836 | + | 2.17242i | −0.557243 | + | 0.0717006i | ||||
\(919\) | 9.12534 | − | 23.6742i | 0.301017 | − | 0.780939i | −0.696944 | − | 0.717125i | \(-0.745458\pi\) |
0.997962 | − | 0.0638142i | \(-0.0203265\pi\) | |||||||
\(920\) | 38.1661 | − | 4.66280i | 1.25830 | − | 0.153728i | ||||
\(921\) | −45.8879 | + | 12.6372i | −1.51206 | + | 0.416409i | ||||
\(922\) | 35.4081 | + | 30.0557i | 1.16610 | + | 0.989832i | ||||
\(923\) | 17.1473 | + | 2.99211i | 0.564409 | + | 0.0984866i | ||||
\(924\) | 18.4618 | + | 1.42030i | 0.607349 | + | 0.0467243i | ||||
\(925\) | 4.75518 | + | 6.34641i | 0.156349 | + | 0.208669i | ||||
\(926\) | −32.6797 | − | 75.9580i | −1.07392 | − | 2.49614i | ||||
\(927\) | 0.230317 | + | 1.29542i | 0.00756461 | + | 0.0425472i | ||||
\(928\) | −11.1517 | + | 14.6866i | −0.366072 | + | 0.482111i | ||||
\(929\) | −56.6089 | − | 16.7650i | −1.85728 | − | 0.550043i | −0.999341 | − | 0.0362861i | \(-0.988447\pi\) |
−0.857936 | − | 0.513757i | \(-0.828253\pi\) | |||||||
\(930\) | 16.3449 | − | 14.9907i | 0.535972 | − | 0.491566i | ||||
\(931\) | 2.17710 | + | 32.3568i | 0.0713515 | + | 1.06045i | ||||
\(932\) | 51.0666 | + | 4.91624i | 1.67274 | + | 0.161037i | ||||
\(933\) | 37.5352 | − | 2.88764i | 1.22885 | − | 0.0945371i | ||||
\(934\) | −62.6761 | − | 71.4877i | −2.05083 | − | 2.33915i | ||||
\(935\) | −2.37401 | + | 9.97986i | −0.0776386 | + | 0.326376i | ||||
\(936\) | 3.33438 | + | 11.1280i | 0.108988 | + | 0.363730i | ||||
\(937\) | 30.6338 | + | 6.77137i | 1.00076 | + | 0.221211i | 0.685719 | − | 0.727866i | \(-0.259488\pi\) |
0.315044 | + | 0.949077i | \(0.397981\pi\) | |||||||
\(938\) | 9.86876 | + | 0.379049i | 0.322227 | + | 0.0123764i | ||||
\(939\) | −26.3481 | − | 22.6569i | −0.859838 | − | 0.739380i | ||||
\(940\) | 46.0465 | + | 63.1224i | 1.50187 | + | 2.05883i | ||||
\(941\) | 5.92822 | + | 18.4864i | 0.193255 | + | 0.602639i | 0.999932 | + | 0.0116469i | \(0.00370740\pi\) |
−0.806678 | + | 0.590992i | \(0.798737\pi\) | |||||||
\(942\) | −37.4122 | − | 3.36026i | −1.21895 | − | 0.109483i | ||||
\(943\) | 0.304848 | + | 19.0562i | 0.00992720 | + | 0.620557i | ||||
\(944\) | 4.46439 | + | 21.8498i | 0.145304 | + | 0.711149i | ||||
\(945\) | −5.92404 | + | 4.00992i | −0.192709 | + | 0.130443i | ||||
\(946\) | 69.9478 | − | 17.3502i | 2.27420 | − | 0.564103i | ||||
\(947\) | 3.42933 | − | 34.4653i | 0.111438 | − | 1.11997i | −0.766845 | − | 0.641833i | \(-0.778174\pi\) |
0.878283 | − | 0.478141i | \(-0.158689\pi\) | |||||||
\(948\) | 18.7413 | + | 29.9024i | 0.608689 | + | 0.971184i | ||||
\(949\) | −9.26259 | − | 99.5514i | −0.300676 | − | 3.23157i | ||||
\(950\) | −17.9937 | − | 11.6825i | −0.583794 | − | 0.379032i | ||||
\(951\) | 23.6058 | + | 1.05798i | 0.765472 | + | 0.0343073i | ||||
\(952\) | 2.03303 | + | 3.02428i | 0.0658909 | + | 0.0980176i | ||||
\(953\) | −3.21199 | − | 21.2006i | −0.104047 | − | 0.686755i | −0.979198 | − | 0.202906i | \(-0.934961\pi\) |
0.875152 | − | 0.483849i | \(-0.160762\pi\) | |||||||
\(954\) | −3.67555 | + | 5.31936i | −0.119000 | + | 0.172221i | ||||
\(955\) | 18.9107 | − | 10.3082i | 0.611935 | − | 0.333564i | ||||
\(956\) | −0.503726 | − | 14.3082i | −0.0162917 | − | 0.462759i | ||||
\(957\) | −37.0627 | + | 15.2478i | −1.19807 | + | 0.492891i | ||||
\(958\) | −20.8252 | − | 49.2703i | −0.672832 | − | 1.59185i | ||||
\(959\) | −8.50534 | + | 0.763927i | −0.274652 | + | 0.0246685i | ||||
\(960\) | −3.44034 | − | 32.4661i | −0.111036 | − | 1.04784i | ||||
\(961\) | 7.64920 | − | 18.7632i | 0.246748 | − | 0.605265i | ||||
\(962\) | 56.3170 | − | 41.3588i | 1.81573 | − | 1.33346i | ||||
\(963\) | 7.80578 | − | 2.75340i | 0.251538 | − | 0.0887272i | ||||
\(964\) | −36.3057 | − | 27.7508i | −1.16933 | − | 0.893794i | ||||
\(965\) | −19.8746 | + | 4.52669i | −0.639785 | + | 0.145719i | ||||
\(966\) | −14.0646 | + | 6.21172i | −0.452522 | + | 0.199859i | ||||
\(967\) | −10.5039 | − | 36.7596i | −0.337782 | − | 1.18211i | −0.927290 | − | 0.374345i | \(-0.877868\pi\) |
0.589508 | − | 0.807763i | \(-0.299322\pi\) | |||||||
\(968\) | 28.7853 | − | 14.7482i | 0.925196 | − | 0.474024i | ||||
\(969\) | −7.63875 | − | 7.09639i | −0.245392 | − | 0.227969i | ||||
\(970\) | 3.70078 | + | 4.27595i | 0.118825 | + | 0.137292i | ||||
\(971\) | −9.39302 | − | 21.4532i | −0.301436 | − | 0.688466i | 0.698187 | − | 0.715916i | \(-0.253990\pi\) |
−0.999623 | + | 0.0274499i | \(0.991261\pi\) | |||||||
\(972\) | −16.7536 | − | 1.07342i | −0.537371 | − | 0.0344299i | ||||
\(973\) | 9.83543 | + | 12.6146i | 0.315309 | + | 0.404406i | ||||
\(974\) | 18.6212 | + | 30.5734i | 0.596662 | + | 0.979634i | ||||
\(975\) | −15.9486 | + | 10.9449i | −0.510765 | + | 0.350518i | ||||
\(976\) | 6.24079 | − | 13.7713i | 0.199763 | − | 0.440808i | ||||
\(977\) | −38.5092 | + | 34.8677i | −1.23202 | + | 1.11552i | −0.242646 | + | 0.970115i | \(0.578015\pi\) |
−0.989373 | + | 0.145401i | \(0.953553\pi\) | |||||||
\(978\) | −36.1722 | + | 54.5596i | −1.15666 | + | 1.74462i | ||||
\(979\) | 26.7103 | + | 20.1470i | 0.853665 | + | 0.643902i | ||||
\(980\) | −36.5415 | − | 20.5295i | −1.16727 | − | 0.655792i | ||||
\(981\) | −1.58613 | + | 4.73680i | −0.0506411 | + | 0.151234i | ||||
\(982\) | 97.9462 | 3.12559 | ||||||||
\(983\) | 11.1315 | + | 29.3102i | 0.355039 | + | 0.934852i | ||||
\(984\) | −20.9638 | −0.668302 | ||||||||
\(985\) | −7.02383 | + | 20.9759i | −0.223798 | + | 0.668348i | ||||
\(986\) | −15.3484 | − | 8.62297i | −0.488794 | − | 0.274611i | ||||
\(987\) | −11.1751 | − | 8.42917i | −0.355709 | − | 0.268303i | ||||
\(988\) | −67.3013 | + | 101.513i | −2.14114 | + | 3.22954i | ||||
\(989\) | −28.5829 | + | 25.8800i | −0.908883 | + | 0.822936i | ||||
\(990\) | −3.46645 | + | 7.64927i | −0.110171 | + | 0.243110i | ||||
\(991\) | −8.36926 | + | 5.74350i | −0.265858 | + | 0.182448i | −0.691362 | − | 0.722508i | \(-0.742989\pi\) |
0.425504 | + | 0.904957i | \(0.360097\pi\) | |||||||
\(992\) | 5.51692 | + | 9.05799i | 0.175162 | + | 0.287591i | ||||
\(993\) | 9.13088 | + | 11.7110i | 0.289760 | + | 0.371637i | ||||
\(994\) | 4.46092 | + | 0.285816i | 0.141492 | + | 0.00906552i | ||||
\(995\) | −9.66437 | − | 22.0730i | −0.306381 | − | 0.699760i | ||||
\(996\) | −46.7891 | − | 54.0610i | −1.48257 | − | 1.71299i | ||||
\(997\) | −4.85248 | − | 4.50795i | −0.153680 | − | 0.142768i | 0.600026 | − | 0.799981i | \(-0.295157\pi\) |
−0.753705 | + | 0.657213i | \(0.771735\pi\) | |||||||
\(998\) | 16.2183 | − | 8.30944i | 0.513382 | − | 0.263031i | ||||
\(999\) | 6.64809 | + | 23.2658i | 0.210336 | + | 0.736097i |
(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 | 983.2.c.a.2.8 | ✓ | 39690 | |
983.492 | even | 491 | inner | 983.2.c.a.492.8 | yes | 39690 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
983.2.c.a.2.8 | ✓ | 39690 | 1.1 | even | 1 | trivial | |
983.2.c.a.492.8 | yes | 39690 | 983.492 | even | 491 | inner |