Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [169,2,Mod(4,169)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(169, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("169.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 169 = 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 169.k (of order \(78\), degree \(24\), 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: | \(1.34947179416\) |
Analytic rank: | \(0\) |
Dimension: | \(360\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{78})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{78}]$ |
Embedding invariants
Embedding label | 10.1 | ||
Character | \(\chi\) | \(=\) | 169.10 |
Dual form | 169.2.k.a.17.1 |
$q$-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 \(\left(\mathbb{Z}/169\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{78}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.60774 | − | 0.532374i | −1.84395 | − | 0.376445i | −0.854280 | − | 0.519813i | \(-0.826002\pi\) |
−0.989669 | + | 0.143368i | \(0.954207\pi\) | |||||||
\(3\) | −2.66189 | + | 0.432599i | −1.53684 | + | 0.249761i | −0.869102 | − | 0.494632i | \(-0.835303\pi\) |
−0.667741 | + | 0.744394i | \(0.732739\pi\) | |||||||
\(4\) | 4.67692 | + | 1.99265i | 2.33846 | + | 0.996324i | ||||
\(5\) | −0.498005 | + | 2.02048i | −0.222714 | + | 0.903588i | 0.748067 | + | 0.663623i | \(0.230982\pi\) |
−0.970782 | + | 0.239965i | \(0.922864\pi\) | |||||||
\(6\) | 7.17182 | + | 0.289014i | 2.92788 | + | 0.117990i | ||||
\(7\) | 1.97372 | − | 0.936542i | 0.745996 | − | 0.353979i | −0.0174530 | − | 0.999848i | \(-0.505556\pi\) |
0.763449 | + | 0.645868i | \(0.223504\pi\) | |||||||
\(8\) | −6.75456 | − | 4.66233i | −2.38810 | − | 1.64838i | ||||
\(9\) | 4.05291 | − | 1.35306i | 1.35097 | − | 0.451020i | ||||
\(10\) | 2.37432 | − | 5.00377i | 0.750825 | − | 1.58233i | ||||
\(11\) | −1.04466 | + | 3.12913i | −0.314976 | + | 0.943467i | 0.665427 | + | 0.746463i | \(0.268250\pi\) |
−0.980403 | + | 0.197004i | \(0.936879\pi\) | |||||||
\(12\) | −13.3115 | − | 3.28098i | −3.84269 | − | 0.947138i | ||||
\(13\) | −3.56877 | + | 0.513691i | −0.989799 | + | 0.142472i | ||||
\(14\) | −5.64553 | + | 1.39150i | −1.50883 | + | 0.371894i | ||||
\(15\) | 0.451574 | − | 5.59374i | 0.116596 | − | 1.44430i | ||||
\(16\) | 8.08878 | + | 8.42131i | 2.02220 | + | 2.10533i | ||||
\(17\) | −0.00965072 | − | 0.0203385i | −0.00234064 | − | 0.00493280i | 0.902277 | − | 0.431157i | \(-0.141895\pi\) |
−0.904617 | + | 0.426225i | \(0.859843\pi\) | |||||||
\(18\) | −11.2893 | + | 1.37077i | −2.66091 | + | 0.323093i | ||||
\(19\) | −5.30097 | − | 3.06052i | −1.21613 | − | 0.702131i | −0.252040 | − | 0.967717i | \(-0.581101\pi\) |
−0.964087 | + | 0.265586i | \(0.914435\pi\) | |||||||
\(20\) | −6.35524 | + | 8.45729i | −1.42107 | + | 1.89111i | ||||
\(21\) | −4.84868 | + | 3.34680i | −1.05807 | + | 0.730332i | ||||
\(22\) | 4.39005 | − | 7.60380i | 0.935963 | − | 1.62113i | ||||
\(23\) | −3.51581 | − | 6.08956i | −0.733096 | − | 1.26976i | −0.955554 | − | 0.294818i | \(-0.904741\pi\) |
0.222457 | − | 0.974942i | \(-0.428592\pi\) | |||||||
\(24\) | 19.9968 | + | 9.48861i | 4.08183 | + | 1.93685i | ||||
\(25\) | 0.592934 | + | 0.311196i | 0.118587 | + | 0.0622392i | ||||
\(26\) | 9.57989 | + | 0.560347i | 1.87877 | + | 0.109893i | ||||
\(27\) | −3.03935 | + | 1.59517i | −0.584923 | + | 0.306991i | ||||
\(28\) | 11.0971 | − | 0.447199i | 2.09716 | − | 0.0845126i | ||||
\(29\) | 0.687458 | − | 3.36739i | 0.127658 | − | 0.625309i | −0.864738 | − | 0.502223i | \(-0.832516\pi\) |
0.992396 | − | 0.123086i | \(-0.0392791\pi\) | |||||||
\(30\) | −4.15555 | + | 14.3466i | −0.758696 | + | 2.61932i | ||||
\(31\) | −3.76670 | − | 7.17686i | −0.676520 | − | 1.28900i | −0.945427 | − | 0.325835i | \(-0.894355\pi\) |
0.268906 | − | 0.963166i | \(-0.413338\pi\) | |||||||
\(32\) | −7.83699 | − | 12.3932i | −1.38540 | − | 2.19083i | ||||
\(33\) | 1.42710 | − | 8.78131i | 0.248427 | − | 1.52863i | ||||
\(34\) | 0.0143389 | + | 0.0581752i | 0.00245910 | + | 0.00997696i | ||||
\(35\) | 0.909346 | + | 4.45427i | 0.153707 | + | 0.752909i | ||||
\(36\) | 21.6513 | + | 1.74787i | 3.60855 | + | 0.291312i | ||||
\(37\) | −6.26268 | + | 9.90364i | −1.02958 | + | 1.62815i | −0.287568 | + | 0.957760i | \(0.592847\pi\) |
−0.742011 | + | 0.670388i | \(0.766128\pi\) | |||||||
\(38\) | 12.1942 | + | 10.8031i | 1.97816 | + | 1.75250i | ||||
\(39\) | 9.27746 | − | 2.91124i | 1.48558 | − | 0.466171i | ||||
\(40\) | 12.7840 | − | 11.3256i | 2.02132 | − | 1.79074i | ||||
\(41\) | −0.137662 | − | 0.847071i | −0.0214993 | − | 0.132290i | 0.974082 | − | 0.226196i | \(-0.0726289\pi\) |
−0.995581 | + | 0.0939055i | \(0.970065\pi\) | |||||||
\(42\) | 14.4258 | − | 6.14627i | 2.22595 | − | 0.948391i | ||||
\(43\) | 2.04832 | − | 1.29528i | 0.312366 | − | 0.197528i | −0.369078 | − | 0.929398i | \(-0.620327\pi\) |
0.681444 | + | 0.731870i | \(0.261352\pi\) | |||||||
\(44\) | −11.1210 | + | 12.5530i | −1.67656 | + | 1.89244i | ||||
\(45\) | 0.715469 | + | 8.86267i | 0.106656 | + | 1.32117i | ||||
\(46\) | 5.92638 | + | 17.7517i | 0.873798 | + | 2.61734i | ||||
\(47\) | −6.60753 | − | 0.802300i | −0.963808 | − | 0.117027i | −0.376522 | − | 0.926407i | \(-0.622880\pi\) |
−0.587285 | + | 0.809380i | \(0.699803\pi\) | |||||||
\(48\) | −25.1745 | − | 18.9174i | −3.63363 | − | 2.73049i | ||||
\(49\) | −1.40866 | + | 1.72529i | −0.201237 | + | 0.246471i | ||||
\(50\) | −1.38054 | − | 1.12718i | −0.195238 | − | 0.159407i | ||||
\(51\) | 0.0344876 | + | 0.0499639i | 0.00482923 | + | 0.00699634i | ||||
\(52\) | −17.7145 | − | 4.70881i | −2.45655 | − | 0.652995i | ||||
\(53\) | 3.70299 | − | 5.36470i | 0.508644 | − | 0.736898i | −0.481577 | − | 0.876404i | \(-0.659936\pi\) |
0.990221 | + | 0.139505i | \(0.0445512\pi\) | |||||||
\(54\) | 8.77505 | − | 2.54172i | 1.19413 | − | 0.345885i | ||||
\(55\) | −5.80211 | − | 3.66903i | −0.782356 | − | 0.494732i | ||||
\(56\) | −17.6981 | − | 2.87622i | −2.36500 | − | 0.384351i | ||||
\(57\) | 15.4346 | + | 5.85357i | 2.04436 | + | 0.775324i | ||||
\(58\) | −3.58542 | + | 8.41529i | −0.470789 | + | 1.10498i | ||||
\(59\) | −5.11032 | − | 4.90853i | −0.665307 | − | 0.639036i | 0.281981 | − | 0.959420i | \(-0.409009\pi\) |
−0.947288 | + | 0.320384i | \(0.896188\pi\) | |||||||
\(60\) | 13.2583 | − | 25.2617i | 1.71164 | − | 3.26127i | ||||
\(61\) | 0.0689205 | − | 0.00556384i | 0.00882437 | − | 0.000712377i | −0.0760536 | − | 0.997104i | \(-0.524232\pi\) |
0.0848780 | + | 0.996391i | \(0.472950\pi\) | |||||||
\(62\) | 6.00181 | + | 20.7207i | 0.762231 | + | 2.63153i | ||||
\(63\) | 6.73211 | − | 6.46628i | 0.848167 | − | 0.814675i | ||||
\(64\) | 5.55772 | + | 14.6545i | 0.694715 | + | 1.83181i | ||||
\(65\) | 0.739359 | − | 7.46646i | 0.0917062 | − | 0.926101i | ||||
\(66\) | −8.39645 | + | 22.1396i | −1.03353 | + | 2.72520i | ||||
\(67\) | −0.120665 | − | 0.283211i | −0.0147416 | − | 0.0345997i | 0.912446 | − | 0.409197i | \(-0.134191\pi\) |
−0.927188 | + | 0.374597i | \(0.877781\pi\) | |||||||
\(68\) | −0.00460822 | − | 0.114352i | −0.000558829 | − | 0.0138672i | ||||
\(69\) | 11.9930 | + | 14.6888i | 1.44379 | + | 1.76832i | ||||
\(70\) | − | 12.0997i | − | 1.44619i | ||||||
\(71\) | −0.706432 | + | 0.576784i | −0.0838381 | + | 0.0684517i | −0.673438 | − | 0.739244i | \(-0.735183\pi\) |
0.589600 | + | 0.807696i | \(0.299286\pi\) | |||||||
\(72\) | −33.6841 | − | 9.75671i | −3.96970 | − | 1.14984i | ||||
\(73\) | 0.192079 | + | 0.216812i | 0.0224811 | + | 0.0253759i | 0.759644 | − | 0.650339i | \(-0.225373\pi\) |
−0.737163 | + | 0.675715i | \(0.763835\pi\) | |||||||
\(74\) | 21.6039 | − | 22.4920i | 2.51140 | − | 2.61464i | ||||
\(75\) | −1.71295 | − | 0.571867i | −0.197794 | − | 0.0660335i | ||||
\(76\) | −18.6937 | − | 24.8768i | −2.14431 | − | 2.85356i | ||||
\(77\) | 0.868699 | + | 7.15438i | 0.0989975 | + | 0.815318i | ||||
\(78\) | −25.7430 | + | 2.65267i | −2.91483 | + | 0.300356i | ||||
\(79\) | −0.754236 | + | 6.21169i | −0.0848581 | + | 0.698870i | 0.886746 | + | 0.462257i | \(0.152960\pi\) |
−0.971604 | + | 0.236612i | \(0.923963\pi\) | |||||||
\(80\) | −21.0434 | + | 12.1494i | −2.35272 | + | 1.35834i | ||||
\(81\) | −2.84725 | + | 2.13957i | −0.316361 | + | 0.237730i | ||||
\(82\) | −0.0919707 | + | 2.28223i | −0.0101565 | + | 0.252030i | ||||
\(83\) | 3.44167 | − | 1.30526i | 0.377773 | − | 0.143270i | −0.158407 | − | 0.987374i | \(-0.550636\pi\) |
0.536180 | + | 0.844103i | \(0.319867\pi\) | |||||||
\(84\) | −29.3459 | + | 5.99100i | −3.20190 | + | 0.653672i | ||||
\(85\) | 0.0458996 | − | 0.00937048i | 0.00497852 | − | 0.00101637i | ||||
\(86\) | −6.03106 | + | 2.28728i | −0.650346 | + | 0.246644i | ||||
\(87\) | −0.373206 | + | 9.26102i | −0.0400119 | + | 0.992886i | ||||
\(88\) | 21.6452 | − | 16.2653i | 2.30739 | − | 1.73389i | ||||
\(89\) | −5.46935 | + | 3.15773i | −0.579750 | + | 0.334719i | −0.761034 | − | 0.648712i | \(-0.775308\pi\) |
0.181284 | + | 0.983431i | \(0.441975\pi\) | |||||||
\(90\) | 2.85250 | − | 23.4924i | 0.300680 | − | 2.47632i | ||||
\(91\) | −6.56266 | + | 4.35618i | −0.687954 | + | 0.456652i | ||||
\(92\) | −4.30879 | − | 35.4861i | −0.449223 | − | 3.69968i | ||||
\(93\) | 13.1313 | + | 17.4745i | 1.36165 | + | 1.81202i | ||||
\(94\) | 16.8036 | + | 5.60986i | 1.73316 | + | 0.578613i | ||||
\(95\) | 8.82364 | − | 9.18638i | 0.905286 | − | 0.942503i | ||||
\(96\) | 26.2225 | + | 29.5991i | 2.67632 | + | 3.02094i | ||||
\(97\) | −1.44972 | − | 0.419916i | −0.147197 | − | 0.0426360i | 0.203801 | − | 0.979012i | \(-0.434670\pi\) |
−0.350998 | + | 0.936376i | \(0.614158\pi\) | |||||||
\(98\) | 4.59191 | − | 3.74918i | 0.463853 | − | 0.378725i | ||||
\(99\) | 14.0956i | 1.41666i | ||||||||
\(100\) | 2.15300 | + | 2.63695i | 0.215300 | + | 0.263695i | ||||
\(101\) | −0.285105 | − | 7.07480i | −0.0283690 | − | 0.703969i | −0.949324 | − | 0.314300i | \(-0.898230\pi\) |
0.920955 | − | 0.389669i | \(-0.127411\pi\) | |||||||
\(102\) | −0.0633351 | − | 0.148653i | −0.00627111 | − | 0.0147188i | ||||
\(103\) | −4.00633 | + | 10.5638i | −0.394756 | + | 1.04088i | 0.579407 | + | 0.815038i | \(0.303284\pi\) |
−0.974163 | + | 0.225847i | \(0.927485\pi\) | |||||||
\(104\) | 26.5005 | + | 13.1690i | 2.59858 | + | 1.29133i | ||||
\(105\) | −4.34749 | − | 11.4634i | −0.424272 | − | 1.11871i | ||||
\(106\) | −12.5124 | + | 12.0184i | −1.21532 | + | 1.16733i | ||||
\(107\) | 1.02349 | + | 3.53351i | 0.0989449 | + | 0.341598i | 0.994683 | − | 0.102985i | \(-0.0328393\pi\) |
−0.895738 | + | 0.444582i | \(0.853352\pi\) | |||||||
\(108\) | −17.3934 | + | 1.40414i | −1.67368 | + | 0.135113i | ||||
\(109\) | 5.54592 | − | 10.5669i | 0.531203 | − | 1.01212i | −0.460989 | − | 0.887406i | \(-0.652505\pi\) |
0.992192 | − | 0.124717i | \(-0.0398023\pi\) | |||||||
\(110\) | 13.1771 | + | 12.6568i | 1.25639 | + | 1.20677i | ||||
\(111\) | 12.3863 | − | 29.0716i | 1.17565 | − | 2.75936i | ||||
\(112\) | 23.8519 | + | 9.04583i | 2.25379 | + | 0.854751i | ||||
\(113\) | −2.13634 | − | 0.347190i | −0.200970 | − | 0.0326609i | 0.0590927 | − | 0.998253i | \(-0.481179\pi\) |
−0.260063 | + | 0.965592i | \(0.583743\pi\) | |||||||
\(114\) | −37.1331 | − | 23.4815i | −3.47783 | − | 2.19925i | ||||
\(115\) | 14.0547 | − | 4.07100i | 1.31061 | − | 0.379623i | ||||
\(116\) | 9.92521 | − | 14.3791i | 0.921533 | − | 1.33507i | ||||
\(117\) | −13.7689 | + | 6.91071i | −1.27293 | + | 0.638895i | ||||
\(118\) | 10.7132 | + | 15.5208i | 0.986231 | + | 1.42880i | ||||
\(119\) | −0.0380956 | − | 0.0311041i | −0.00349222 | − | 0.00285131i | ||||
\(120\) | −29.1301 | + | 35.6779i | −2.65920 | + | 3.25693i | ||||
\(121\) | 0.0937402 | + | 0.0704412i | 0.00852184 | + | 0.00640374i | ||||
\(122\) | −0.182689 | − | 0.0221824i | −0.0165399 | − | 0.00200830i | ||||
\(123\) | 0.732885 | + | 2.19526i | 0.0660820 | + | 0.197940i | ||||
\(124\) | −3.31562 | − | 41.0713i | −0.297751 | − | 3.68831i | ||||
\(125\) | −7.82368 | + | 8.83111i | −0.699772 | + | 0.789879i | ||||
\(126\) | −20.9981 | + | 13.2784i | −1.87066 | + | 1.18293i | ||||
\(127\) | −3.14916 | + | 1.34173i | −0.279443 | + | 0.119060i | −0.527141 | − | 0.849778i | \(-0.676736\pi\) |
0.247698 | + | 0.968837i | \(0.420326\pi\) | |||||||
\(128\) | −1.98712 | − | 12.2272i | −0.175638 | − | 1.08075i | ||||
\(129\) | −4.89207 | + | 4.33400i | −0.430723 | + | 0.381587i | ||||
\(130\) | −5.90300 | + | 19.0770i | −0.517727 | + | 1.67316i | ||||
\(131\) | −4.65044 | − | 4.11993i | −0.406311 | − | 0.359960i | 0.435076 | − | 0.900394i | \(-0.356722\pi\) |
−0.841387 | + | 0.540434i | \(0.818260\pi\) | |||||||
\(132\) | 24.1725 | − | 38.2258i | 2.10395 | − | 3.32713i | ||||
\(133\) | −13.3289 | − | 1.07602i | −1.15577 | − | 0.0933031i | ||||
\(134\) | 0.163888 | + | 0.802778i | 0.0141578 | + | 0.0693495i | ||||
\(135\) | −1.70941 | − | 6.93536i | −0.147123 | − | 0.596900i | ||||
\(136\) | −0.0296384 | + | 0.182372i | −0.00254147 | + | 0.0156383i | ||||
\(137\) | 9.68727 | + | 15.3192i | 0.827639 | + | 1.30881i | 0.948705 | + | 0.316163i | \(0.102395\pi\) |
−0.121066 | + | 0.992645i | \(0.538631\pi\) | |||||||
\(138\) | −23.4548 | − | 44.6893i | −1.99660 | − | 3.80421i | ||||
\(139\) | 2.63093 | − | 9.08302i | 0.223153 | − | 0.770412i | −0.768317 | − | 0.640070i | \(-0.778905\pi\) |
0.991469 | − | 0.130342i | \(-0.0416075\pi\) | |||||||
\(140\) | −4.62286 | + | 22.6443i | −0.390703 | + | 1.91379i | ||||
\(141\) | 17.9356 | − | 0.722780i | 1.51045 | − | 0.0608691i | ||||
\(142\) | 2.14925 | − | 1.12802i | 0.180361 | − | 0.0946610i | ||||
\(143\) | 2.12073 | − | 11.7038i | 0.177345 | − | 0.978718i | ||||
\(144\) | 44.1777 | + | 23.1862i | 3.68147 | + | 1.93219i | ||||
\(145\) | 6.46140 | + | 3.06597i | 0.536590 | + | 0.254615i | ||||
\(146\) | −0.385466 | − | 0.667646i | −0.0319014 | − | 0.0552548i | ||||
\(147\) | 3.00334 | − | 5.20193i | 0.247711 | − | 0.429048i | ||||
\(148\) | −49.0245 | + | 33.8392i | −4.02979 | + | 2.78156i | ||||
\(149\) | −9.34429 | + | 12.4350i | −0.765514 | + | 1.01871i | 0.233412 | + | 0.972378i | \(0.425011\pi\) |
−0.998926 | + | 0.0463361i | \(0.985245\pi\) | |||||||
\(150\) | 4.16248 | + | 2.40321i | 0.339865 | + | 0.196221i | ||||
\(151\) | 11.1515 | − | 1.35403i | 0.907494 | − | 0.110190i | 0.346539 | − | 0.938036i | \(-0.387357\pi\) |
0.560956 | + | 0.827846i | \(0.310434\pi\) | |||||||
\(152\) | 21.5366 | + | 45.3874i | 1.74685 | + | 3.68140i | ||||
\(153\) | −0.0666327 | − | 0.0693720i | −0.00538694 | − | 0.00560840i | ||||
\(154\) | 1.54346 | − | 19.1192i | 0.124376 | − | 1.54067i | ||||
\(155\) | 16.3766 | − | 4.03646i | 1.31540 | − | 0.324216i | ||||
\(156\) | 49.1910 | + | 4.87109i | 3.93843 | + | 0.389999i | ||||
\(157\) | −2.28902 | − | 0.564194i | −0.182684 | − | 0.0450275i | 0.146912 | − | 0.989150i | \(-0.453066\pi\) |
−0.329596 | + | 0.944122i | \(0.606913\pi\) | |||||||
\(158\) | 5.27379 | − | 15.7969i | 0.419560 | − | 1.25674i | ||||
\(159\) | −7.53618 | + | 15.8822i | −0.597658 | + | 1.25954i | ||||
\(160\) | 28.9431 | − | 9.66264i | 2.28816 | − | 0.763899i | ||||
\(161\) | −12.6423 | − | 8.72638i | −0.996356 | − | 0.687735i | ||||
\(162\) | 8.56394 | − | 4.06364i | 0.672846 | − | 0.319270i | ||||
\(163\) | −17.7900 | − | 0.716913i | −1.39342 | − | 0.0561530i | −0.667848 | − | 0.744298i | \(-0.732784\pi\) |
−0.725573 | + | 0.688145i | \(0.758425\pi\) | |||||||
\(164\) | 1.04408 | − | 4.23600i | 0.0815289 | − | 0.330776i | ||||
\(165\) | 17.0318 | + | 7.25657i | 1.32592 | + | 0.564923i | ||||
\(166\) | −9.66987 | + | 1.57151i | −0.750527 | + | 0.121973i | ||||
\(167\) | 20.4682 | + | 4.17862i | 1.58388 | + | 0.323352i | 0.909717 | − | 0.415230i | \(-0.136299\pi\) |
0.674164 | + | 0.738581i | \(0.264504\pi\) | |||||||
\(168\) | 48.3546 | 3.73064 | ||||||||
\(169\) | 12.4722 | − | 3.66649i | 0.959403 | − | 0.282038i | ||||
\(170\) | −0.124683 | −0.00956274 | ||||||||
\(171\) | −25.6255 | − | 5.23147i | −1.95963 | − | 0.400061i | ||||
\(172\) | 12.1609 | − | 1.97633i | 0.927258 | − | 0.150694i | ||||
\(173\) | 0.825525 | + | 0.351723i | 0.0627635 | + | 0.0267410i | 0.423120 | − | 0.906074i | \(-0.360935\pi\) |
−0.360357 | + | 0.932815i | \(0.617345\pi\) | |||||||
\(174\) | 5.90355 | − | 23.9516i | 0.447547 | − | 1.81577i | ||||
\(175\) | 1.46173 | + | 0.0589059i | 0.110497 | + | 0.00445286i | ||||
\(176\) | −34.8014 | + | 16.5134i | −2.62325 | + | 1.24475i | ||||
\(177\) | 15.7265 | + | 10.8553i | 1.18208 | + | 0.815931i | ||||
\(178\) | 15.9437 | − | 5.32280i | 1.19503 | − | 0.398960i | ||||
\(179\) | −5.32094 | + | 11.2136i | −0.397706 | + | 0.838147i | 0.601522 | + | 0.798856i | \(0.294561\pi\) |
−0.999228 | + | 0.0392906i | \(0.987490\pi\) | |||||||
\(180\) | −14.3140 | + | 42.8757i | −1.06690 | + | 3.19576i | ||||
\(181\) | −21.5342 | − | 5.30772i | −1.60063 | − | 0.394519i | −0.664813 | − | 0.747010i | \(-0.731489\pi\) |
−0.935815 | + | 0.352491i | \(0.885335\pi\) | |||||||
\(182\) | 19.4328 | − | 7.86600i | 1.44046 | − | 0.583067i | ||||
\(183\) | −0.181052 | + | 0.0446253i | −0.0133838 | + | 0.00329880i | ||||
\(184\) | −4.64383 | + | 57.5241i | −0.342347 | + | 4.24073i | ||||
\(185\) | −16.8913 | − | 17.5857i | −1.24187 | − | 1.29293i | ||||
\(186\) | −24.9399 | − | 52.5597i | −1.82868 | − | 3.85387i | ||||
\(187\) | 0.0737233 | − | 0.00895163i | 0.00539118 | − | 0.000654608i | ||||
\(188\) | −29.3042 | − | 16.9188i | −2.13723 | − | 1.23393i | ||||
\(189\) | −4.50487 | + | 5.99490i | −0.327681 | + | 0.436065i | ||||
\(190\) | −27.9003 | + | 19.2582i | −2.02410 | + | 1.39714i | ||||
\(191\) | −5.30927 | + | 9.19592i | −0.384165 | + | 0.665394i | −0.991653 | − | 0.128935i | \(-0.958844\pi\) |
0.607488 | + | 0.794329i | \(0.292177\pi\) | |||||||
\(192\) | −21.1336 | − | 36.6044i | −1.52519 | − | 2.64170i | ||||
\(193\) | −20.1843 | − | 9.57758i | −1.45290 | − | 0.689409i | −0.471585 | − | 0.881821i | \(-0.656318\pi\) |
−0.981314 | + | 0.192412i | \(0.938369\pi\) | |||||||
\(194\) | 3.55693 | + | 1.86682i | 0.255373 | + | 0.134030i | ||||
\(195\) | 1.26189 | + | 20.1948i | 0.0903661 | + | 1.44618i | ||||
\(196\) | −10.0261 | + | 5.26210i | −0.716149 | + | 0.375864i | ||||
\(197\) | 17.2123 | − | 0.693631i | 1.22632 | − | 0.0494191i | 0.581369 | − | 0.813640i | \(-0.302517\pi\) |
0.644954 | + | 0.764221i | \(0.276876\pi\) | |||||||
\(198\) | 7.50410 | − | 36.7575i | 0.533293 | − | 2.61224i | ||||
\(199\) | −6.73873 | + | 23.2648i | −0.477696 | + | 1.64920i | 0.253728 | + | 0.967276i | \(0.418343\pi\) |
−0.731424 | + | 0.681922i | \(0.761144\pi\) | |||||||
\(200\) | −2.55411 | − | 4.86645i | −0.180603 | − | 0.344110i | ||||
\(201\) | 0.443714 | + | 0.701677i | 0.0312971 | + | 0.0494925i | ||||
\(202\) | −3.02296 | + | 18.6010i | −0.212695 | + | 1.30876i | ||||
\(203\) | −1.79685 | − | 7.29012i | −0.126114 | − | 0.511666i | ||||
\(204\) | 0.0617351 | + | 0.302399i | 0.00432232 | + | 0.0211721i | ||||
\(205\) | 1.78005 | + | 0.143701i | 0.124324 | + | 0.0100365i | ||||
\(206\) | 16.0714 | − | 25.4148i | 1.11974 | − | 1.77074i | ||||
\(207\) | −22.4888 | − | 19.9233i | −1.56308 | − | 1.38477i | ||||
\(208\) | −33.1930 | − | 25.8986i | −2.30152 | − | 1.79574i | ||||
\(209\) | 15.1144 | − | 13.3902i | 1.04549 | − | 0.926222i | ||||
\(210\) | 5.23432 | + | 32.2080i | 0.361202 | + | 2.22257i | ||||
\(211\) | −3.23017 | + | 1.37625i | −0.222374 | + | 0.0947447i | −0.500280 | − | 0.865863i | \(-0.666770\pi\) |
0.277906 | + | 0.960608i | \(0.410359\pi\) | |||||||
\(212\) | 28.0085 | − | 17.7115i | 1.92363 | − | 1.21643i | ||||
\(213\) | 1.63093 | − | 1.84094i | 0.111749 | − | 0.126139i | ||||
\(214\) | −0.787857 | − | 9.75936i | −0.0538568 | − | 0.667136i | ||||
\(215\) | 1.59702 | + | 4.78366i | 0.108916 | + | 0.326243i | ||||
\(216\) | 27.9667 | + | 3.39577i | 1.90289 | + | 0.231053i | ||||
\(217\) | −14.1558 | − | 10.6374i | −0.960961 | − | 0.722116i | ||||
\(218\) | −20.0878 | + | 24.6031i | −1.36052 | + | 1.66633i | ||||
\(219\) | −0.605085 | − | 0.494036i | −0.0408878 | − | 0.0333839i | ||||
\(220\) | −19.8249 | − | 28.7213i | −1.33659 | − | 1.93639i | ||||
\(221\) | 0.0448889 | + | 0.0676258i | 0.00301955 | + | 0.00454901i | ||||
\(222\) | −47.7771 | + | 69.2171i | −3.20659 | + | 4.64555i | ||||
\(223\) | −10.0554 | + | 2.91258i | −0.673359 | + | 0.195041i | −0.597246 | − | 0.802058i | \(-0.703738\pi\) |
−0.0761134 | + | 0.997099i | \(0.524251\pi\) | |||||||
\(224\) | −27.0748 | − | 17.1210i | −1.80901 | − | 1.14395i | ||||
\(225\) | 2.82418 | + | 0.458973i | 0.188278 | + | 0.0305982i | ||||
\(226\) | 5.38619 | + | 2.04271i | 0.358284 | + | 0.135879i | ||||
\(227\) | −4.25654 | + | 9.99047i | −0.282516 | + | 0.663090i | −0.999419 | − | 0.0340829i | \(-0.989149\pi\) |
0.716903 | + | 0.697173i | \(0.245559\pi\) | |||||||
\(228\) | 60.5222 | + | 58.1324i | 4.00818 | + | 3.84991i | ||||
\(229\) | 5.43559 | − | 10.3566i | 0.359194 | − | 0.684386i | −0.637065 | − | 0.770810i | \(-0.719852\pi\) |
0.996258 | + | 0.0864238i | \(0.0275439\pi\) | |||||||
\(230\) | −38.8184 | + | 3.13374i | −2.55961 | + | 0.206633i | ||||
\(231\) | −5.40737 | − | 18.6684i | −0.355779 | − | 1.22829i | ||||
\(232\) | −20.3434 | + | 19.5401i | −1.33561 | + | 1.28287i | ||||
\(233\) | −6.16358 | − | 16.2520i | −0.403789 | − | 1.06471i | −0.970566 | − | 0.240834i | \(-0.922579\pi\) |
0.566777 | − | 0.823871i | \(-0.308190\pi\) | |||||||
\(234\) | 39.5847 | − | 10.6911i | 2.58773 | − | 0.698902i | ||||
\(235\) | 4.91161 | − | 12.9509i | 0.320398 | − | 0.844821i | ||||
\(236\) | −14.1196 | − | 33.1399i | −0.919106 | − | 2.15722i | ||||
\(237\) | −0.679480 | − | 16.8611i | −0.0441370 | − | 1.09525i | ||||
\(238\) | 0.0827844 | + | 0.101393i | 0.00536612 | + | 0.00657230i | ||||
\(239\) | 10.9563i | 0.708702i | 0.935112 | + | 0.354351i | \(0.115298\pi\) | ||||
−0.935112 | + | 0.354351i | \(0.884702\pi\) | |||||||
\(240\) | 50.7594 | − | 41.4437i | 3.27650 | − | 2.67518i | ||||
\(241\) | 6.46255 | + | 1.87190i | 0.416289 | + | 0.120580i | 0.479751 | − | 0.877405i | \(-0.340727\pi\) |
−0.0634618 | + | 0.997984i | \(0.520214\pi\) | |||||||
\(242\) | −0.206949 | − | 0.233597i | −0.0133032 | − | 0.0150162i | ||||
\(243\) | 13.7869 | − | 14.3537i | 0.884428 | − | 0.920787i | ||||
\(244\) | 0.333422 | + | 0.111313i | 0.0213452 | + | 0.00712607i | ||||
\(245\) | −2.78441 | − | 3.70538i | −0.177889 | − | 0.236728i | ||||
\(246\) | −0.742475 | − | 6.11483i | −0.0473385 | − | 0.389867i | ||||
\(247\) | 20.4901 | + | 8.19923i | 1.30376 | + | 0.521704i | ||||
\(248\) | −8.01848 | + | 66.0381i | −0.509174 | + | 4.19343i | ||||
\(249\) | −8.59671 | + | 4.96331i | −0.544794 | + | 0.314537i | ||||
\(250\) | 25.1036 | − | 18.8641i | 1.58769 | − | 1.19307i | ||||
\(251\) | −0.665151 | + | 16.5055i | −0.0419839 | + | 1.04182i | 0.831669 | + | 0.555271i | \(0.187386\pi\) |
−0.873653 | + | 0.486549i | \(0.838255\pi\) | |||||||
\(252\) | 44.3706 | − | 16.8275i | 2.79508 | − | 1.06004i | ||||
\(253\) | 22.7278 | − | 4.63991i | 1.42888 | − | 0.291709i | ||||
\(254\) | 8.92650 | − | 1.82236i | 0.560098 | − | 0.114345i | ||||
\(255\) | −0.118126 | + | 0.0447994i | −0.00739735 | + | 0.00280544i | ||||
\(256\) | −0.0653949 | + | 1.62276i | −0.00408718 | + | 0.101422i | ||||
\(257\) | −14.9847 | + | 11.2603i | −0.934720 | + | 0.702397i | −0.954752 | − | 0.297403i | \(-0.903880\pi\) |
0.0200320 | + | 0.999799i | \(0.493623\pi\) | |||||||
\(258\) | 15.0645 | − | 8.69752i | 0.937878 | − | 0.541484i | ||||
\(259\) | −3.08561 | + | 25.4123i | −0.191730 | + | 1.57904i | ||||
\(260\) | 18.3360 | − | 33.4468i | 1.13715 | − | 2.07428i | ||||
\(261\) | −1.77008 | − | 14.5779i | −0.109565 | − | 0.902350i | ||||
\(262\) | 9.93379 | + | 13.2195i | 0.613712 | + | 0.816702i | ||||
\(263\) | −8.75590 | − | 2.92315i | −0.539912 | − | 0.180249i | 0.0336163 | − | 0.999435i | \(-0.489298\pi\) |
−0.573528 | + | 0.819186i | \(0.694426\pi\) | |||||||
\(264\) | −50.5809 | + | 52.6603i | −3.11304 | + | 3.24101i | ||||
\(265\) | 8.99519 | + | 10.1535i | 0.552570 | + | 0.623723i | ||||
\(266\) | 34.1855 | + | 9.90196i | 2.09605 | + | 0.607128i | ||||
\(267\) | 13.1928 | − | 10.7716i | 0.807385 | − | 0.659209i | ||||
\(268\) | − | 1.56500i | − | 0.0955974i | ||||||
\(269\) | −2.15616 | − | 2.64081i | −0.131463 | − | 0.161013i | 0.704678 | − | 0.709527i | \(-0.251091\pi\) |
−0.836142 | + | 0.548514i | \(0.815194\pi\) | |||||||
\(270\) | 0.765498 | + | 18.9956i | 0.0465867 | + | 1.15604i | ||||
\(271\) | −4.77209 | − | 11.2005i | −0.289884 | − | 0.680382i | 0.709829 | − | 0.704375i | \(-0.248772\pi\) |
−0.999712 | + | 0.0239927i | \(0.992362\pi\) | |||||||
\(272\) | 0.0932140 | − | 0.245785i | 0.00565193 | − | 0.0149029i | ||||
\(273\) | 15.5846 | − | 14.4347i | 0.943223 | − | 0.873627i | ||||
\(274\) | −17.1063 | − | 45.1057i | −1.03343 | − | 2.72493i | ||||
\(275\) | −1.59318 | + | 1.53027i | −0.0960726 | + | 0.0922790i | ||||
\(276\) | 26.8208 | + | 92.5962i | 1.61442 | + | 5.57364i | ||||
\(277\) | −10.0945 | + | 0.814913i | −0.606521 | + | 0.0489634i | −0.379912 | − | 0.925023i | \(-0.624046\pi\) |
−0.226608 | + | 0.973986i | \(0.572764\pi\) | |||||||
\(278\) | −11.6963 | + | 22.2855i | −0.701500 | + | 1.33660i | ||||
\(279\) | −24.9768 | − | 23.9906i | −1.49532 | − | 1.43628i | ||||
\(280\) | 14.6251 | − | 34.3263i | 0.874015 | − | 2.05139i | ||||
\(281\) | 10.7218 | + | 4.06626i | 0.639612 | + | 0.242573i | 0.653024 | − | 0.757337i | \(-0.273500\pi\) |
−0.0134121 | + | 0.999910i | \(0.504269\pi\) | |||||||
\(282\) | −47.1562 | − | 7.66362i | −2.80811 | − | 0.456362i | ||||
\(283\) | 1.96807 | + | 1.24453i | 0.116990 | + | 0.0739798i | 0.591679 | − | 0.806174i | \(-0.298465\pi\) |
−0.474689 | + | 0.880153i | \(0.657440\pi\) | |||||||
\(284\) | −4.45325 | + | 1.28990i | −0.264252 | + | 0.0765415i | ||||
\(285\) | −19.5135 | + | 28.2702i | −1.15588 | + | 1.67458i | ||||
\(286\) | −11.7611 | + | 29.3913i | −0.695448 | + | 1.73795i | ||||
\(287\) | −1.06502 | − | 1.54295i | −0.0628664 | − | 0.0910777i | ||||
\(288\) | −48.5314 | − | 39.6247i | −2.85974 | − | 2.33491i | ||||
\(289\) | 10.7513 | − | 13.1679i | 0.632427 | − | 0.774582i | ||||
\(290\) | −15.2174 | − | 11.4351i | −0.893596 | − | 0.671494i | ||||
\(291\) | 4.04065 | + | 0.490623i | 0.236867 | + | 0.0287609i | ||||
\(292\) | 0.466306 | + | 1.39676i | 0.0272885 | + | 0.0817390i | ||||
\(293\) | 1.53730 | + | 19.0429i | 0.0898099 | + | 1.11250i | 0.872017 | + | 0.489476i | \(0.162812\pi\) |
−0.782207 | + | 0.623019i | \(0.785906\pi\) | |||||||
\(294\) | −10.6013 | + | 11.9664i | −0.618279 | + | 0.697893i | ||||
\(295\) | 12.4626 | − | 7.88085i | 0.725599 | − | 0.458841i | ||||
\(296\) | 88.4757 | − | 37.6960i | 5.14255 | − | 2.19103i | ||||
\(297\) | −1.81642 | − | 11.1769i | −0.105400 | − | 0.648550i | ||||
\(298\) | 30.9875 | − | 27.4525i | 1.79506 | − | 1.59028i | ||||
\(299\) | 15.6753 | + | 19.9262i | 0.906523 | + | 1.15236i | ||||
\(300\) | −6.87179 | − | 6.08788i | −0.396743 | − | 0.351484i | ||||
\(301\) | 2.82973 | − | 4.47486i | 0.163103 | − | 0.257927i | ||||
\(302\) | −29.8010 | − | 2.40578i | −1.71485 | − | 0.138437i | ||||
\(303\) | 3.81947 | + | 18.7090i | 0.219423 | + | 1.07481i | ||||
\(304\) | −17.1048 | − | 69.3970i | −0.981030 | − | 3.98019i | ||||
\(305\) | −0.0230811 | + | 0.142024i | −0.00132162 | + | 0.00813225i | ||||
\(306\) | 0.136829 | + | 0.216378i | 0.00782199 | + | 0.0123695i | ||||
\(307\) | 3.78613 | + | 7.21386i | 0.216086 | + | 0.411717i | 0.969237 | − | 0.246131i | \(-0.0791593\pi\) |
−0.753151 | + | 0.657848i | \(0.771467\pi\) | |||||||
\(308\) | −10.1933 | + | 35.1915i | −0.580819 | + | 2.00522i | ||||
\(309\) | 6.09451 | − | 29.8529i | 0.346705 | − | 1.69827i | ||||
\(310\) | −44.8547 | + | 1.80758i | −2.54757 | + | 0.102664i | ||||
\(311\) | −16.8093 | + | 8.82221i | −0.953169 | + | 0.500261i | −0.868250 | − | 0.496126i | \(-0.834755\pi\) |
−0.0849183 | + | 0.996388i | \(0.527063\pi\) | |||||||
\(312\) | −76.2383 | − | 23.5905i | −4.31614 | − | 1.33555i | ||||
\(313\) | 5.65915 | + | 2.97015i | 0.319874 | + | 0.167883i | 0.617016 | − | 0.786950i | \(-0.288341\pi\) |
−0.297142 | + | 0.954833i | \(0.596034\pi\) | |||||||
\(314\) | 5.66881 | + | 2.68988i | 0.319910 | + | 0.151799i | ||||
\(315\) | 9.71240 | + | 16.8224i | 0.547232 | + | 0.947833i | ||||
\(316\) | −15.9052 | + | 27.5486i | −0.894738 | + | 1.54973i | ||||
\(317\) | 23.0029 | − | 15.8777i | 1.29197 | − | 0.891783i | 0.294022 | − | 0.955799i | \(-0.405006\pi\) |
0.997949 | + | 0.0640160i | \(0.0203909\pi\) | |||||||
\(318\) | 28.1076 | − | 37.4045i | 1.57620 | − | 2.09754i | ||||
\(319\) | 9.81884 | + | 5.66891i | 0.549749 | + | 0.317398i | ||||
\(320\) | −32.3770 | + | 3.93128i | −1.80993 | + | 0.219765i | ||||
\(321\) | −4.25303 | − | 8.96306i | −0.237381 | − | 0.500269i | ||||
\(322\) | 28.3222 | + | 29.4865i | 1.57834 | + | 1.64322i | ||||
\(323\) | −0.0110880 | + | 0.137350i | −0.000616955 | + | 0.00764235i | ||||
\(324\) | −17.5798 | + | 4.33302i | −0.976654 | + | 0.240724i | ||||
\(325\) | −2.27590 | − | 0.806001i | −0.126244 | − | 0.0447089i | ||||
\(326\) | 46.0100 | + | 11.3405i | 2.54826 | + | 0.628090i | ||||
\(327\) | −10.1914 | + | 30.5270i | −0.563587 | + | 1.68815i | ||||
\(328\) | −3.01948 | + | 6.36342i | −0.166723 | + | 0.351361i | ||||
\(329\) | −13.7928 | + | 4.60471i | −0.760422 | + | 0.253866i | ||||
\(330\) | −40.5513 | − | 27.9905i | −2.23227 | − | 1.54083i | ||||
\(331\) | 3.13191 | − | 1.48611i | 0.172145 | − | 0.0816839i | −0.340670 | − | 0.940183i | \(-0.610654\pi\) |
0.512815 | + | 0.858499i | \(0.328603\pi\) | |||||||
\(332\) | 18.6973 | + | 0.753477i | 1.02615 | + | 0.0413524i | ||||
\(333\) | −11.9819 | + | 48.6124i | −0.656603 | + | 2.66394i | ||||
\(334\) | −51.1512 | − | 21.7935i | −2.79887 | − | 1.19249i | ||||
\(335\) | 0.632315 | − | 0.102761i | 0.0345470 | − | 0.00561444i | ||||
\(336\) | −67.4044 | − | 13.7607i | −3.67721 | − | 0.750708i | ||||
\(337\) | 22.7838 | 1.24111 | 0.620556 | − | 0.784162i | \(-0.286907\pi\) | ||||
0.620556 | + | 0.784162i | \(0.286907\pi\) | |||||||
\(338\) | −34.4763 | + | 2.92136i | −1.87526 | + | 0.158901i | ||||
\(339\) | 5.83691 | 0.317017 | ||||||||
\(340\) | 0.233341 | + | 0.0476369i | 0.0126547 | + | 0.00258347i | ||||
\(341\) | 26.3922 | − | 4.28915i | 1.42922 | − | 0.232271i | ||||
\(342\) | 64.0394 | + | 27.2846i | 3.46285 | + | 1.47538i | ||||
\(343\) | −4.82423 | + | 19.5727i | −0.260484 | + | 1.05682i | ||||
\(344\) | −19.8745 | − | 0.800916i | −1.07156 | − | 0.0431825i | ||||
\(345\) | −35.6511 | + | 16.9166i | −1.91939 | + | 0.910761i | ||||
\(346\) | −1.96551 | − | 1.35669i | −0.105666 | − | 0.0729361i | ||||
\(347\) | 5.69453 | − | 1.90111i | 0.305698 | − | 0.102057i | −0.159680 | − | 0.987169i | \(-0.551046\pi\) |
0.465379 | + | 0.885112i | \(0.345918\pi\) | |||||||
\(348\) | −20.1994 | + | 42.5694i | −1.08280 | + | 2.28196i | ||||
\(349\) | −0.0385253 | + | 0.115397i | −0.00206221 | + | 0.00617709i | −0.949563 | − | 0.313578i | \(-0.898472\pi\) |
0.947500 | + | 0.319755i | \(0.103601\pi\) | |||||||
\(350\) | −3.78046 | − | 0.931799i | −0.202074 | − | 0.0498068i | ||||
\(351\) | 10.0273 | − | 7.25409i | 0.535218 | − | 0.387195i | ||||
\(352\) | 46.9669 | − | 11.5763i | 2.50334 | − | 0.617019i | ||||
\(353\) | 0.976161 | − | 12.0919i | 0.0519558 | − | 0.643588i | −0.917406 | − | 0.397952i | \(-0.869721\pi\) |
0.969362 | − | 0.245636i | \(-0.0789969\pi\) | |||||||
\(354\) | −35.2317 | − | 36.6801i | −1.87254 | − | 1.94952i | ||||
\(355\) | −0.813576 | − | 1.71458i | −0.0431801 | − | 0.0910002i | ||||
\(356\) | −31.8719 | + | 3.86995i | −1.68921 | + | 0.205107i | ||||
\(357\) | 0.114862 | + | 0.0663157i | 0.00607915 | + | 0.00350980i | ||||
\(358\) | 19.8455 | − | 26.4095i | 1.04886 | − | 1.39579i | ||||
\(359\) | −5.87505 | + | 4.05525i | −0.310073 | + | 0.214028i | −0.712930 | − | 0.701235i | \(-0.752632\pi\) |
0.402857 | + | 0.915263i | \(0.368017\pi\) | |||||||
\(360\) | 36.4881 | − | 63.1992i | 1.92309 | − | 3.33089i | ||||
\(361\) | 9.23355 | + | 15.9930i | 0.485977 | + | 0.841736i | ||||
\(362\) | 53.3300 | + | 25.3054i | 2.80296 | + | 1.33002i | ||||
\(363\) | −0.279999 | − | 0.146955i | −0.0146961 | − | 0.00771313i | ||||
\(364\) | −39.3734 | + | 7.29644i | −2.06372 | + | 0.382438i | ||||
\(365\) | −0.533721 | + | 0.280118i | −0.0279362 | + | 0.0146621i | ||||
\(366\) | 0.495894 | − | 0.0199838i | 0.0259208 | − | 0.00104457i | ||||
\(367\) | 4.97571 | − | 24.3726i | 0.259730 | − | 1.27224i | −0.615346 | − | 0.788257i | \(-0.710984\pi\) |
0.875076 | − | 0.483985i | \(-0.160811\pi\) | |||||||
\(368\) | 22.8435 | − | 78.8648i | 1.19080 | − | 4.11111i | ||||
\(369\) | −1.70407 | − | 3.24684i | −0.0887105 | − | 0.169024i | ||||
\(370\) | 34.6859 | + | 54.8514i | 1.80324 | + | 2.85159i | ||||
\(371\) | 2.28439 | − | 14.0564i | 0.118600 | − | 0.729773i | ||||
\(372\) | 26.5932 | + | 107.893i | 1.37879 | + | 5.59399i | ||||
\(373\) | 2.69221 | + | 13.1873i | 0.139397 | + | 0.682813i | 0.988084 | + | 0.153917i | \(0.0491888\pi\) |
−0.848687 | + | 0.528896i | \(0.822606\pi\) | |||||||
\(374\) | −0.197017 | − | 0.0159048i | −0.0101875 | − | 0.000822420i | ||||
\(375\) | 17.0055 | − | 26.8920i | 0.878158 | − | 1.38870i | ||||
\(376\) | 40.8904 | + | 36.2257i | 2.10876 | + | 1.86820i | ||||
\(377\) | −0.723580 | + | 12.3706i | −0.0372662 | + | 0.637118i | ||||
\(378\) | 14.9391 | − | 13.2349i | 0.768382 | − | 0.680727i | ||||
\(379\) | 1.81579 | + | 11.1730i | 0.0932707 | + | 0.573918i | 0.991052 | + | 0.133476i | \(0.0426140\pi\) |
−0.897781 | + | 0.440442i | \(0.854822\pi\) | |||||||
\(380\) | 59.5727 | − | 25.3815i | 3.05601 | − | 1.30205i | ||||
\(381\) | 7.80230 | − | 4.93388i | 0.399724 | − | 0.252770i | ||||
\(382\) | 18.7408 | − | 21.1540i | 0.958865 | − | 1.08234i | ||||
\(383\) | −2.41023 | − | 29.8561i | −0.123157 | − | 1.52557i | −0.703202 | − | 0.710990i | \(-0.748247\pi\) |
0.580045 | − | 0.814584i | \(-0.303035\pi\) | |||||||
\(384\) | 10.5790 | + | 31.6880i | 0.539857 | + | 1.61707i | ||||
\(385\) | −14.8879 | − | 1.80772i | −0.758759 | − | 0.0921300i | ||||
\(386\) | 47.5366 | + | 35.7214i | 2.41955 | + | 1.81817i | ||||
\(387\) | 6.54907 | − | 8.02116i | 0.332908 | − | 0.407739i | ||||
\(388\) | −5.94347 | − | 4.85269i | −0.301734 | − | 0.246358i | ||||
\(389\) | −10.9503 | − | 15.8643i | −0.555203 | − | 0.804351i | 0.440422 | − | 0.897791i | \(-0.354829\pi\) |
−0.995625 | + | 0.0934404i | \(0.970214\pi\) | |||||||
\(390\) | 7.46046 | − | 53.3344i | 0.377775 | − | 2.70069i | ||||
\(391\) | −0.0899222 | + | 0.130275i | −0.00454756 | + | 0.00658828i | ||||
\(392\) | 17.5588 | − | 5.08596i | 0.886852 | − | 0.256880i | ||||
\(393\) | 14.1612 | + | 8.95503i | 0.714340 | + | 0.451722i | ||||
\(394\) | −45.2544 | − | 7.35455i | −2.27988 | − | 0.370517i | ||||
\(395\) | −12.1750 | − | 4.61737i | −0.612591 | − | 0.232325i | ||||
\(396\) | −28.0875 | + | 65.9238i | −1.41145 | + | 3.31279i | ||||
\(397\) | −21.8303 | − | 20.9683i | −1.09563 | − | 1.05237i | −0.998368 | − | 0.0571096i | \(-0.981812\pi\) |
−0.0972635 | − | 0.995259i | \(-0.531009\pi\) | |||||||
\(398\) | 29.9584 | − | 57.0810i | 1.50168 | − | 2.86121i | ||||
\(399\) | 35.9457 | − | 2.90183i | 1.79953 | − | 0.145273i | ||||
\(400\) | 2.17544 | + | 7.51048i | 0.108772 | + | 0.375524i | ||||
\(401\) | −11.7569 | + | 11.2927i | −0.587114 | + | 0.563930i | −0.926299 | − | 0.376789i | \(-0.877028\pi\) |
0.339185 | + | 0.940720i | \(0.389849\pi\) | |||||||
\(402\) | −0.783535 | − | 2.06601i | −0.0390792 | − | 0.103043i | ||||
\(403\) | 17.1292 | + | 23.6776i | 0.853266 | + | 1.17947i | ||||
\(404\) | 12.7642 | − | 33.6564i | 0.635042 | − | 1.67447i | ||||
\(405\) | −2.90502 | − | 6.81834i | −0.144352 | − | 0.338806i | ||||
\(406\) | 0.804655 | + | 19.9673i | 0.0399344 | + | 0.990961i | ||||
\(407\) | −24.4474 | − | 29.9426i | −1.21181 | − | 1.48420i | ||||
\(408\) | − | 0.498277i | − | 0.0246684i | ||||||
\(409\) | 5.96273 | − | 4.86842i | 0.294838 | − | 0.240728i | −0.473467 | − | 0.880812i | \(-0.656998\pi\) |
0.768305 | + | 0.640084i | \(0.221100\pi\) | |||||||
\(410\) | −4.56540 | − | 1.32239i | −0.225469 | − | 0.0653079i | ||||
\(411\) | −32.4135 | − | 36.5873i | −1.59884 | − | 1.80472i | ||||
\(412\) | −39.7873 | + | 41.4229i | −1.96018 | + | 2.04076i | ||||
\(413\) | −14.6834 | − | 4.90203i | −0.722522 | − | 0.241213i | ||||
\(414\) | 48.0382 | + | 63.9273i | 2.36095 | + | 3.14185i | ||||
\(415\) | 0.923277 | + | 7.60387i | 0.0453219 | + | 0.373259i | ||||
\(416\) | 34.3347 | + | 40.2027i | 1.68340 | + | 1.97110i | ||||
\(417\) | −3.07394 | + | 25.3162i | −0.150531 | + | 1.23974i | ||||
\(418\) | −46.5431 | + | 26.8717i | −2.27650 | + | 1.31434i | ||||
\(419\) | −23.2953 | + | 17.5052i | −1.13805 | + | 0.855187i | −0.990989 | − | 0.133941i | \(-0.957237\pi\) |
−0.147058 | + | 0.989128i | \(0.546980\pi\) | |||||||
\(420\) | 2.50965 | − | 62.2764i | 0.122459 | − | 3.03878i | ||||
\(421\) | 5.41431 | − | 2.05338i | 0.263877 | − | 0.100075i | −0.219118 | − | 0.975698i | \(-0.570318\pi\) |
0.482995 | + | 0.875623i | \(0.339549\pi\) | |||||||
\(422\) | 9.15611 | − | 1.86923i | 0.445712 | − | 0.0909928i | ||||
\(423\) | −27.8653 | + | 5.68874i | −1.35486 | + | 0.276596i | ||||
\(424\) | −50.0241 | + | 18.9716i | −2.42938 | + | 0.921344i | ||||
\(425\) | 0.000607004 | − | 0.0150626i | 2.94440e−5 | − | 0.000730645i | ||||
\(426\) | −5.23310 | + | 3.93242i | −0.253545 | + | 0.190526i | ||||
\(427\) | 0.130819 | − | 0.0755284i | 0.00633078 | − | 0.00365508i | ||||
\(428\) | −2.25425 | + | 18.5654i | −0.108963 | + | 0.897393i | ||||
\(429\) | −0.582116 | + | 32.0716i | −0.0281048 | + | 1.54843i | ||||
\(430\) | −1.61792 | − | 13.3247i | −0.0780228 | − | 0.642576i | ||||
\(431\) | −12.0453 | − | 16.0294i | −0.580203 | − | 0.772110i | 0.409949 | − | 0.912109i | \(-0.365547\pi\) |
−0.990152 | + | 0.139999i | \(0.955290\pi\) | |||||||
\(432\) | −38.0181 | − | 12.6923i | −1.82915 | − | 0.610658i | ||||
\(433\) | 2.03243 | − | 2.11599i | 0.0976725 | − | 0.101688i | −0.670572 | − | 0.741845i | \(-0.733951\pi\) |
0.768244 | + | 0.640157i | \(0.221131\pi\) | |||||||
\(434\) | 31.2516 | + | 35.2758i | 1.50013 | + | 1.69329i | ||||
\(435\) | −18.5259 | − | 5.36609i | −0.888248 | − | 0.257284i | ||||
\(436\) | 46.9939 | − | 38.3693i | 2.25060 | − | 1.83756i | ||||
\(437\) | 43.0408i | 2.05892i | ||||||||
\(438\) | 1.31489 | + | 1.61045i | 0.0628279 | + | 0.0769502i | ||||
\(439\) | 0.752382 | + | 18.6702i | 0.0359092 | + | 0.891078i | 0.912311 | + | 0.409498i | \(0.134296\pi\) |
−0.876402 | + | 0.481581i | \(0.840063\pi\) | |||||||
\(440\) | 22.0844 | + | 51.8340i | 1.05283 | + | 2.47109i | ||||
\(441\) | −3.37474 | + | 8.89847i | −0.160702 | + | 0.423737i | ||||
\(442\) | −0.0810563 | − | 0.200248i | −0.00385546 | − | 0.00952483i | ||||
\(443\) | −2.98321 | − | 7.86608i | −0.141737 | − | 0.373729i | 0.845285 | − | 0.534316i | \(-0.179431\pi\) |
−0.987022 | + | 0.160587i | \(0.948661\pi\) | |||||||
\(444\) | 115.859 | − | 111.284i | 5.49843 | − | 5.28131i | ||||
\(445\) | −3.65638 | − | 12.6233i | −0.173329 | − | 0.598401i | ||||
\(446\) | 27.7724 | − | 2.24202i | 1.31506 | − | 0.106163i | ||||
\(447\) | 19.4941 | − | 37.1429i | 0.922040 | − | 1.75680i | ||||
\(448\) | 24.6939 | + | 23.7189i | 1.16668 | + | 1.12061i | ||||
\(449\) | 2.21889 | − | 5.20793i | 0.104716 | − | 0.245777i | −0.859377 | − | 0.511343i | \(-0.829148\pi\) |
0.964093 | + | 0.265565i | \(0.0855586\pi\) | |||||||
\(450\) | −7.12037 | − | 2.70040i | −0.335657 | − | 0.127298i | ||||
\(451\) | 2.79440 | + | 0.454135i | 0.131583 | + | 0.0213844i | ||||
\(452\) | −9.29968 | − | 5.88076i | −0.437420 | − | 0.276608i | ||||
\(453\) | −29.0983 | + | 8.42841i | −1.36716 | + | 0.396001i | ||||
\(454\) | 16.4186 | − | 23.7864i | 0.770563 | − | 1.11635i | ||||
\(455\) | −5.53337 | − | 15.4291i | −0.259408 | − | 0.723329i | ||||
\(456\) | −76.9626 | − | 111.500i | −3.60410 | − | 5.22144i | ||||
\(457\) | −16.6111 | − | 13.5626i | −0.777037 | − | 0.634431i | 0.158621 | − | 0.987340i | \(-0.449295\pi\) |
−0.935658 | + | 0.352909i | \(0.885193\pi\) | |||||||
\(458\) | −19.6882 | + | 24.1137i | −0.919969 | + | 1.12676i | ||||
\(459\) | 0.0617753 | + | 0.0464211i | 0.00288342 | + | 0.00216675i | ||||
\(460\) | 73.8449 | + | 8.96640i | 3.44304 | + | 0.418060i | ||||
\(461\) | 1.75546 | + | 5.25826i | 0.0817601 | + | 0.244901i | 0.981479 | − | 0.191567i | \(-0.0613571\pi\) |
−0.899719 | + | 0.436469i | \(0.856229\pi\) | |||||||
\(462\) | 4.16244 | + | 51.5610i | 0.193654 | + | 2.39884i | ||||
\(463\) | 22.5415 | − | 25.4441i | 1.04759 | − | 1.18249i | 0.0647783 | − | 0.997900i | \(-0.479366\pi\) |
0.982816 | − | 0.184590i | \(-0.0590956\pi\) | |||||||
\(464\) | 33.9185 | − | 21.4488i | 1.57463 | − | 0.995735i | ||||
\(465\) | −41.8464 | + | 17.8291i | −1.94058 | + | 0.826805i | ||||
\(466\) | 7.42085 | + | 45.6623i | 0.343764 | + | 2.11527i | ||||
\(467\) | 8.45586 | − | 7.49124i | 0.391290 | − | 0.346653i | −0.444425 | − | 0.895816i | \(-0.646592\pi\) |
0.835715 | + | 0.549163i | \(0.185053\pi\) | |||||||
\(468\) | −78.1664 | + | 4.88433i | −3.61324 | + | 0.225778i | ||||
\(469\) | −0.503397 | − | 0.445971i | −0.0232447 | − | 0.0205930i | ||||
\(470\) | −19.7029 | + | 31.1576i | −0.908827 | + | 1.43720i | ||||
\(471\) | 6.33720 | + | 0.511592i | 0.292003 | + | 0.0235729i | ||||
\(472\) | 11.6328 | + | 56.9810i | 0.535441 | + | 2.62276i | ||||
\(473\) | 1.91330 | + | 7.76258i | 0.0879738 | + | 0.356924i | ||||
\(474\) | −7.20451 | + | 44.3311i | −0.330914 | + | 2.03620i | ||||
\(475\) | −2.19071 | − | 3.46433i | −0.100517 | − | 0.158954i | ||||
\(476\) | −0.116191 | − | 0.221383i | −0.00532559 | − | 0.0101471i | ||||
\(477\) | 7.74911 | − | 26.7530i | 0.354807 | − | 1.22494i | ||||
\(478\) | 5.83283 | − | 28.5711i | 0.266787 | − | 1.30681i | ||||
\(479\) | 5.54310 | − | 0.223379i | 0.253271 | − | 0.0102065i | 0.0866940 | − | 0.996235i | \(-0.472370\pi\) |
0.166577 | + | 0.986029i | \(0.446729\pi\) | |||||||
\(480\) | −72.8634 | + | 38.2417i | −3.32574 | + | 1.74549i | ||||
\(481\) | 17.2627 | − | 38.5609i | 0.787110 | − | 1.75823i | ||||
\(482\) | −15.8561 | − | 8.32192i | −0.722225 | − | 0.379053i | ||||
\(483\) | 37.4275 | + | 17.7596i | 1.70301 | + | 0.808089i | ||||
\(484\) | 0.298051 | + | 0.516239i | 0.0135478 | + | 0.0234654i | ||||
\(485\) | 1.57040 | − | 2.72001i | 0.0713082 | − | 0.123509i | ||||
\(486\) | −43.5941 | + | 30.0908i | −1.97747 | + | 1.36495i | ||||
\(487\) | 5.61699 | − | 7.47486i | 0.254530 | − | 0.338718i | −0.654033 | − | 0.756466i | \(-0.726924\pi\) |
0.908563 | + | 0.417748i | \(0.137181\pi\) | |||||||
\(488\) | −0.491468 | − | 0.283749i | −0.0222477 | − | 0.0128447i | ||||
\(489\) | 47.6652 | − | 5.78760i | 2.15550 | − | 0.261725i | ||||
\(490\) | 5.28837 | + | 11.1450i | 0.238904 | + | 0.503480i | ||||
\(491\) | 4.07035 | + | 4.23769i | 0.183693 | + | 0.191244i | 0.806681 | − | 0.590986i | \(-0.201261\pi\) |
−0.622989 | + | 0.782231i | \(0.714082\pi\) | |||||||
\(492\) | −0.946736 | + | 11.7274i | −0.0426822 | + | 0.528713i | ||||
\(493\) | −0.0751220 | + | 0.0185159i | −0.00338333 | + | 0.000833915i | ||||
\(494\) | −49.0678 | − | 32.2898i | −2.20767 | − | 1.45279i | ||||
\(495\) | −28.4799 | − | 7.01965i | −1.28007 | − | 0.315510i | ||||
\(496\) | 29.9705 | − | 89.7726i | 1.34572 | − | 4.03091i | ||||
\(497\) | −0.854117 | + | 1.80001i | −0.0383124 | + | 0.0807416i | ||||
\(498\) | 25.0603 | − | 8.36636i | 1.12298 | − | 0.374906i | ||||
\(499\) | −14.2685 | − | 9.84880i | −0.638744 | − | 0.440893i | 0.204175 | − | 0.978934i | \(-0.434549\pi\) |
−0.842918 | + | 0.538042i | \(0.819164\pi\) | |||||||
\(500\) | −54.1880 | + | 25.7125i | −2.42336 | + | 1.14990i | ||||
\(501\) | −56.2919 | − | 2.26849i | −2.51494 | − | 0.101349i | ||||
\(502\) | 10.5217 | − | 42.6880i | 0.469604 | − | 1.90526i | ||||
\(503\) | −36.3856 | − | 15.5025i | −1.62235 | − | 0.691221i | −0.626269 | − | 0.779607i | \(-0.715419\pi\) |
−0.996086 | + | 0.0883864i | \(0.971829\pi\) | |||||||
\(504\) | −75.6204 | + | 12.2895i | −3.36840 | + | 0.547419i | ||||
\(505\) | 14.4365 | + | 2.94723i | 0.642416 | + | 0.131150i | ||||
\(506\) | −61.7383 | −2.74460 | ||||||||
\(507\) | −31.6136 | + | 15.1553i | −1.40401 | + | 0.673070i | ||||
\(508\) | −17.4020 | −0.772088 | ||||||||
\(509\) | 6.95407 | + | 1.41968i | 0.308234 | + | 0.0629264i | 0.351653 | − | 0.936131i | \(-0.385620\pi\) |
−0.0434188 | + | 0.999057i | \(0.513825\pi\) | |||||||
\(510\) | 0.331892 | − | 0.0539377i | 0.0146964 | − | 0.00238840i | ||||
\(511\) | 0.582162 | + | 0.248036i | 0.0257534 | + | 0.0109725i | ||||
\(512\) | −4.89468 | + | 19.8585i | −0.216316 | + | 0.877629i | ||||
\(513\) | 20.9936 | + | 0.846012i | 0.926888 | + | 0.0373523i | ||||
\(514\) | 45.0709 | − | 21.3864i | 1.98799 | − | 0.943313i | ||||
\(515\) | −19.3489 | − | 13.3556i | −0.852613 | − | 0.588516i | ||||
\(516\) | −31.5159 | + | 10.5216i | −1.38741 | + | 0.463186i | ||||
\(517\) | 9.41310 | − | 19.8377i | 0.413988 | − | 0.872460i | ||||
\(518\) | 21.5753 | − | 64.6258i | 0.947963 | − | 2.83950i | ||||
\(519\) | −2.34961 | − | 0.579128i | −0.103137 | − | 0.0254209i | ||||
\(520\) | −39.8052 | + | 46.9855i | −1.74557 | + | 2.06045i | ||||
\(521\) | −11.4762 | + | 2.82862i | −0.502780 | + | 0.123924i | −0.482545 | − | 0.875871i | \(-0.660288\pi\) |
−0.0202350 | + | 0.999795i | \(0.506441\pi\) | |||||||
\(522\) | −3.14499 | + | 38.9577i | −0.137653 | + | 1.70513i | ||||
\(523\) | 25.4431 | + | 26.4891i | 1.11255 | + | 1.15829i | 0.986072 | + | 0.166317i | \(0.0531875\pi\) |
0.126477 | + | 0.991970i | \(0.459633\pi\) | |||||||
\(524\) | −13.5402 | − | 28.5353i | −0.591504 | − | 1.24657i | ||||
\(525\) | −3.91646 | + | 0.475544i | −0.170928 | + | 0.0207544i | ||||
\(526\) | 21.2769 | + | 12.2842i | 0.927717 | + | 0.535617i | ||||
\(527\) | −0.109615 | + | 0.145871i | −0.00477490 | + | 0.00635423i | ||||
\(528\) | 85.4937 | − | 59.0120i | 3.72064 | − | 2.56817i | ||||
\(529\) | −13.2218 | + | 22.9008i | −0.574860 | + | 0.995687i | ||||
\(530\) | −18.0517 | − | 31.2664i | −0.784114 | − | 1.35813i | ||||
\(531\) | −27.3532 | − | 12.9793i | −1.18703 | − | 0.563252i | ||||
\(532\) | −60.1942 | − | 31.5924i | −2.60975 | − | 1.36970i | ||||
\(533\) | 0.926419 | + | 2.95229i | 0.0401277 | + | 0.127878i | ||||
\(534\) | −40.1378 | + | 21.0659i | −1.73693 | + | 0.911613i | ||||
\(535\) | −7.64911 | + | 0.308249i | −0.330700 | + | 0.0133267i | ||||
\(536\) | −0.505386 | + | 2.47554i | −0.0218293 | + | 0.106927i | ||||
\(537\) | 9.31274 | − | 32.1513i | 0.401874 | − | 1.38743i | ||||
\(538\) | 4.21679 | + | 8.03443i | 0.181799 | + | 0.346389i | ||||
\(539\) | −3.92710 | − | 6.21021i | −0.169152 | − | 0.267493i | ||||
\(540\) | 5.82495 | − | 35.8423i | 0.250666 | − | 1.54241i | ||||
\(541\) | −5.27171 | − | 21.3882i | −0.226649 | − | 0.919550i | −0.968506 | − | 0.248992i | \(-0.919901\pi\) |
0.741857 | − | 0.670558i | \(-0.233945\pi\) | |||||||
\(542\) | 6.48150 | + | 31.7485i | 0.278404 | + | 1.36371i | ||||
\(543\) | 59.6179 | + | 4.81286i | 2.55845 | + | 0.206539i | ||||
\(544\) | −0.176426 | + | 0.278996i | −0.00756421 | + | 0.0119618i | ||||
\(545\) | 18.5883 | + | 16.4678i | 0.796235 | + | 0.705403i | ||||
\(546\) | −48.3252 | + | 29.3451i | −2.06813 | + | 1.25585i | ||||
\(547\) | −26.8273 | + | 23.7669i | −1.14705 | + | 1.01620i | −0.147421 | + | 0.989074i | \(0.547097\pi\) |
−0.999632 | + | 0.0271266i | \(0.991364\pi\) | |||||||
\(548\) | 14.7808 | + | 90.9499i | 0.631405 | + | 3.88519i | ||||
\(549\) | 0.271801 | − | 0.115803i | 0.0116002 | − | 0.00494237i | ||||
\(550\) | 4.96928 | − | 3.14238i | 0.211891 | − | 0.133992i | ||||
\(551\) | −13.9502 | + | 15.7465i | −0.594297 | + | 0.670822i | ||||
\(552\) | −12.5235 | − | 155.132i | −0.533037 | − | 6.60285i | ||||
\(553\) | 4.32885 | + | 12.9665i | 0.184082 | + | 0.551392i | ||||
\(554\) | 26.7577 | + | 3.24897i | 1.13683 | + | 0.138036i | ||||
\(555\) | 52.5704 | + | 39.5041i | 2.23149 | + | 1.67685i | ||||
\(556\) | 30.4039 | − | 37.2380i | 1.28941 | − | 1.57924i | ||||
\(557\) | −28.3834 | − | 23.1743i | −1.20264 | − | 0.981928i | −0.999996 | − | 0.00267595i | \(-0.999148\pi\) |
−0.202647 | − | 0.979252i | \(-0.564954\pi\) | |||||||
\(558\) | 52.3611 | + | 75.8582i | 2.21662 | + | 3.21133i | ||||
\(559\) | −6.64461 | + | 5.67476i | −0.281037 | + | 0.240017i | ||||
\(560\) | −30.1553 | + | 43.6875i | −1.27429 | + | 1.84613i | ||||
\(561\) | −0.192371 | + | 0.0557209i | −0.00812191 | + | 0.00235254i | ||||
\(562\) | −25.7950 | − | 16.3118i | −1.08810 | − | 0.688071i | ||||
\(563\) | 19.5356 | + | 3.17484i | 0.823326 | + | 0.133804i | 0.557457 | − | 0.830206i | \(-0.311777\pi\) |
0.265869 | + | 0.964009i | \(0.414341\pi\) | |||||||
\(564\) | 85.3236 | + | 32.3590i | 3.59277 | + | 1.36256i | ||||
\(565\) | 1.76540 | − | 4.14355i | 0.0742710 | − | 0.174320i | ||||
\(566\) | −4.46966 | − | 4.29316i | −0.187874 | − | 0.180455i | ||||
\(567\) | −3.61588 | + | 6.88948i | −0.151853 | + | 0.289331i | ||||
\(568\) | 7.46080 | − | 0.602298i | 0.313048 | − | 0.0252719i | ||||
\(569\) | −6.33781 | − | 21.8806i | −0.265695 | − | 0.917285i | −0.976792 | − | 0.214191i | \(-0.931289\pi\) |
0.711097 | − | 0.703094i | \(-0.248199\pi\) | |||||||
\(570\) | 65.9365 | − | 63.3329i | 2.76178 | − | 2.65272i | ||||
\(571\) | 12.9972 | + | 34.2709i | 0.543917 | + | 1.43419i | 0.871983 | + | 0.489536i | \(0.162834\pi\) |
−0.328067 | + | 0.944655i | \(0.606397\pi\) | |||||||
\(572\) | 33.2400 | − | 50.5117i | 1.38983 | − | 2.11200i | ||||
\(573\) | 10.1545 | − | 26.7753i | 0.424212 | − | 1.11856i | ||||
\(574\) | 1.95588 | + | 4.59061i | 0.0816367 | + | 0.191608i | ||||
\(575\) | −0.189597 | − | 4.70481i | −0.00790676 | − | 0.196204i | ||||
\(576\) | 42.3534 | + | 51.8735i | 1.76473 | + | 2.16140i | ||||
\(577\) | 39.3236i | 1.63706i | 0.574462 | + | 0.818532i | \(0.305211\pi\) | ||||
−0.574462 | + | 0.818532i | \(0.694789\pi\) | |||||||
\(578\) | −35.0467 | + | 28.6147i | −1.45775 | + | 1.19022i | ||||
\(579\) | 57.8717 | + | 16.7627i | 2.40507 | + | 0.696636i | ||||
\(580\) | 24.1100 | + | 27.2146i | 1.00111 | + | 1.13002i | ||||
\(581\) | 5.57048 | − | 5.79948i | 0.231102 | − | 0.240603i | ||||
\(582\) | −10.2758 | − | 3.43055i | −0.425944 | − | 0.142201i | ||||
\(583\) | 12.9185 | + | 17.1914i | 0.535029 | + | 0.711994i | ||||
\(584\) | −0.286556 | − | 2.36000i | −0.0118578 | − | 0.0976576i | ||||
\(585\) | −7.10602 | − | 31.2613i | −0.293798 | − | 1.29250i | ||||
\(586\) | 6.12904 | − | 50.4772i | 0.253188 | − | 2.08519i | ||||
\(587\) | 29.3934 | − | 16.9703i | 1.21319 | − | 0.700438i | 0.249741 | − | 0.968313i | \(-0.419655\pi\) |
0.963454 | + | 0.267874i | \(0.0863212\pi\) | |||||||
\(588\) | 24.4120 | − | 18.3444i | 1.00673 | − | 0.756511i | ||||
\(589\) | −1.99770 | + | 49.5724i | −0.0823138 | + | 2.04260i | ||||
\(590\) | −36.6947 | + | 13.9165i | −1.51070 | + | 0.572931i | ||||
\(591\) | −45.5171 | + | 9.29239i | −1.87232 | + | 0.382238i | ||||
\(592\) | −134.059 | + | 27.3684i | −5.50980 | + | 1.12483i | ||||
\(593\) | −30.5342 | + | 11.5801i | −1.25389 | + | 0.475537i | −0.890024 | − | 0.455914i | \(-0.849312\pi\) |
−0.363865 | + | 0.931452i | \(0.618543\pi\) | |||||||
\(594\) | −1.21353 | + | 30.1135i | −0.0497918 | + | 1.23557i | ||||
\(595\) | 0.0818172 | − | 0.0614816i | 0.00335418 | − | 0.00252050i | ||||
\(596\) | −68.4810 | + | 39.5375i | −2.80509 | + | 1.61952i | ||||
\(597\) | 7.87343 | − | 64.8435i | 0.322238 | − | 2.65387i | ||||
\(598\) | −30.2688 | − | 60.3074i | −1.23778 | − | 2.46615i | ||||
\(599\) | 2.43764 | + | 20.0758i | 0.0995993 | + | 0.820274i | 0.953823 | + | 0.300369i | \(0.0971097\pi\) |
−0.854224 | + | 0.519905i | \(0.825967\pi\) | |||||||
\(600\) | 8.90398 | + | 11.8490i | 0.363504 | + | 0.483735i | ||||
\(601\) | 5.01283 | + | 1.67353i | 0.204478 | + | 0.0682647i | 0.417062 | − | 0.908878i | \(-0.363060\pi\) |
−0.212584 | + | 0.977143i | \(0.568188\pi\) | |||||||
\(602\) | −9.76149 | + | 10.1628i | −0.397849 | + | 0.414204i | ||||
\(603\) | −0.872246 | − | 0.984562i | −0.0355206 | − | 0.0400945i | ||||
\(604\) | 54.8527 | + | 15.8883i | 2.23192 | + | 0.646484i | ||||
\(605\) | −0.189008 | + | 0.154321i | −0.00768428 | + | 0.00627402i | ||||
\(606\) | − | 50.8216i | − | 2.06449i | ||||||
\(607\) | −23.0178 | − | 28.1916i | −0.934262 | − | 1.14426i | −0.989317 | − | 0.145780i | \(-0.953431\pi\) |
0.0550550 | − | 0.998483i | \(-0.482467\pi\) | |||||||
\(608\) | 3.61403 | + | 89.6813i | 0.146568 | + | 3.63706i | ||||
\(609\) | 7.93673 | + | 18.6282i | 0.321612 | + | 0.754852i | ||||
\(610\) | 0.135799 | − | 0.358073i | 0.00549834 | − | 0.0144979i | ||||
\(611\) | 23.9929 | − | 0.531008i | 0.970649 | − | 0.0214823i | ||||
\(612\) | −0.173402 | − | 0.457223i | −0.00700935 | − | 0.0184821i | ||||
\(613\) | 20.3928 | − | 19.5875i | 0.823657 | − | 0.791133i | −0.156849 | − | 0.987623i | \(-0.550134\pi\) |
0.980506 | + | 0.196490i | \(0.0629542\pi\) | |||||||
\(614\) | −6.03276 | − | 20.8275i | −0.243462 | − | 0.840529i | ||||
\(615\) | −4.80047 | + | 0.387534i | −0.193573 | + | 0.0156269i | ||||
\(616\) | 27.4884 | − | 52.3749i | 1.10754 | − | 2.11024i | ||||
\(617\) | 7.32330 | + | 7.03412i | 0.294825 | + | 0.283183i | 0.825512 | − | 0.564385i | \(-0.190887\pi\) |
−0.530687 | + | 0.847568i | \(0.678066\pi\) | |||||||
\(618\) | −31.7858 | + | 74.6040i | −1.27861 | + | 3.00101i | ||||
\(619\) | 12.6561 | + | 4.79983i | 0.508692 | + | 0.192921i | 0.595579 | − | 0.803297i | \(-0.296923\pi\) |
−0.0868871 | + | 0.996218i | \(0.527692\pi\) | |||||||
\(620\) | 84.6351 | + | 13.7545i | 3.39903 | + | 0.552395i | ||||
\(621\) | 20.3996 | + | 12.9000i | 0.818610 | + | 0.517657i | ||||
\(622\) | 48.5310 | − | 14.0572i | 1.94592 | − | 0.563641i | ||||
\(623\) | −7.83761 | + | 11.3547i | −0.314007 | + | 0.454918i | ||||
\(624\) | 99.5598 | + | 54.5800i | 3.98558 | + | 2.18495i | ||||
\(625\) | −12.0449 | − | 17.4501i | −0.481796 | − | 0.698002i | ||||
\(626\) | −13.1764 | − | 10.7582i | −0.526633 | − | 0.429983i | ||||
\(627\) | −34.4404 | + | 42.1818i | −1.37542 | + | 1.68458i | ||||
\(628\) | −9.58133 | − | 7.19990i | −0.382337 | − | 0.287307i | ||||
\(629\) | 0.261864 | + | 0.0317961i | 0.0104412 | + | 0.00126779i | ||||
\(630\) | −16.3716 | − | 49.0390i | −0.652260 | − | 1.95376i | ||||
\(631\) | 1.59511 | + | 19.7589i | 0.0635002 | + | 0.786591i | 0.947634 | + | 0.319358i | \(0.103467\pi\) |
−0.884134 | + | 0.467233i | \(0.845251\pi\) | |||||||
\(632\) | 34.0555 | − | 38.4407i | 1.35465 | − | 1.52909i | ||||
\(633\) | 8.00299 | − | 5.06079i | 0.318090 | − | 0.201148i | ||||
\(634\) | −68.4384 | + | 29.1589i | −2.71804 | + | 1.15805i | ||||
\(635\) | −1.14265 | − | 7.03102i | −0.0453448 | − | 0.279018i | ||||
\(636\) | −66.8937 | + | 59.2626i | −2.65251 | + | 2.34992i | ||||
\(637\) | 4.14091 | − | 6.88079i | 0.164069 | − | 0.272627i | ||||
\(638\) | −22.5870 | − | 20.0103i | −0.894227 | − | 0.792216i | ||||
\(639\) | −2.08268 | + | 3.29350i | −0.0823897 | + | 0.130289i | ||||
\(640\) | 25.6945 | + | 2.07428i | 1.01567 | + | 0.0819930i | ||||
\(641\) | 7.02228 | + | 34.3974i | 0.277363 | + | 1.35862i | 0.844749 | + | 0.535163i | \(0.179750\pi\) |
−0.567385 | + | 0.823453i | \(0.692045\pi\) | |||||||
\(642\) | 6.31908 | + | 25.6375i | 0.249394 | + | 1.01183i | ||||
\(643\) | −3.65727 | + | 22.5041i | −0.144228 | + | 0.887473i | 0.809569 | + | 0.587024i | \(0.199701\pi\) |
−0.953798 | + | 0.300449i | \(0.902863\pi\) | |||||||
\(644\) | −41.7386 | − | 66.0043i | −1.64473 | − | 2.60093i | ||||
\(645\) | −6.32050 | − | 12.0427i | −0.248869 | − | 0.474181i | ||||
\(646\) | 0.102036 | − | 0.352270i | 0.00401456 | − | 0.0138599i | ||||
\(647\) | 6.73064 | − | 32.9689i | 0.264609 | − | 1.29614i | −0.602539 | − | 0.798089i | \(-0.705844\pi\) |
0.867148 | − | 0.498050i | \(-0.165950\pi\) | |||||||
\(648\) | 29.2073 | − | 1.17701i | 1.14737 | − | 0.0462375i | ||||
\(649\) | 20.6979 | − | 10.8631i | 0.812465 | − | 0.426415i | ||||
\(650\) | 5.50587 | + | 3.31347i | 0.215958 | + | 0.129965i | ||||
\(651\) | 42.2831 | + | 22.1919i | 1.65720 | + | 0.869768i | ||||
\(652\) | −81.7739 | − | 38.8022i | −3.20251 | − | 1.51961i | ||||
\(653\) | −7.78927 | − | 13.4914i | −0.304818 | − | 0.527960i | 0.672403 | − | 0.740185i | \(-0.265262\pi\) |
−0.977221 | + | 0.212225i | \(0.931929\pi\) | |||||||
\(654\) | 42.8283 | − | 74.1808i | 1.67472 | − | 2.90070i | ||||
\(655\) | 10.6402 | − | 7.34440i | 0.415747 | − | 0.286969i | ||||
\(656\) | 6.01993 | − | 8.01107i | 0.235039 | − | 0.312780i | ||||
\(657\) | 1.07184 | + | 0.618825i | 0.0418164 | + | 0.0241427i | ||||
\(658\) | 38.4194 | − | 4.66497i | 1.49775 | − | 0.181859i | ||||
\(659\) | −0.227042 | − | 0.478481i | −0.00884430 | − | 0.0186390i | 0.898980 | − | 0.437989i | \(-0.144309\pi\) |
−0.907825 | + | 0.419350i | \(0.862258\pi\) | |||||||
\(660\) | 65.1965 | + | 67.8768i | 2.53777 | + | 2.64210i | ||||
\(661\) | −0.609553 | + | 7.55066i | −0.0237089 | + | 0.293687i | 0.974027 | + | 0.226432i | \(0.0727061\pi\) |
−0.997736 | + | 0.0672548i | \(0.978576\pi\) | |||||||
\(662\) | −8.95836 | + | 2.20804i | −0.348176 | + | 0.0858178i | ||||
\(663\) | −0.148744 | − | 0.160594i | −0.00577675 | − | 0.00623694i | ||||
\(664\) | −29.3325 | − | 7.22982i | −1.13832 | − | 0.280571i | ||||
\(665\) | 8.81196 | − | 26.3950i | 0.341713 | − | 1.02356i | ||||
\(666\) | 57.1255 | − | 120.390i | 2.21357 | − | 4.66500i | ||||
\(667\) | −22.9229 | + | 7.65278i | −0.887577 | + | 0.296317i | ||||
\(668\) | 87.4018 | + | 60.3291i | 3.38168 | + | 2.33420i | ||||
\(669\) | 25.5064 | − | 12.1029i | 0.986134 | − | 0.467926i | ||||
\(670\) | −1.70362 | − | 0.0686535i | −0.0658165 | − | 0.00265231i | ||||
\(671\) | −0.0545883 | + | 0.221473i | −0.00210736 | + | 0.00854989i | ||||
\(672\) | 79.4767 | + | 33.8618i | 3.06588 | + | 1.30625i | ||||
\(673\) | −49.4383 | + | 8.03450i | −1.90570 | + | 0.309707i | −0.994711 | − | 0.102713i | \(-0.967248\pi\) |
−0.910994 | + | 0.412421i | \(0.864683\pi\) | |||||||
\(674\) | −59.4142 | − | 12.1295i | −2.28855 | − | 0.467211i | ||||
\(675\) | −2.29854 | −0.0884710 | ||||||||
\(676\) | 65.6377 | + | 7.70491i | 2.52453 | + | 0.296343i | ||||
\(677\) | 31.6105 | 1.21489 | 0.607445 | − | 0.794362i | \(-0.292195\pi\) | ||||
0.607445 | + | 0.794362i | \(0.292195\pi\) | |||||||
\(678\) | −15.2211 | − | 3.10742i | −0.584564 | − | 0.119340i | ||||
\(679\) | −3.25461 | + | 0.528925i | −0.124900 | + | 0.0202983i | ||||
\(680\) | −0.353720 | − | 0.150706i | −0.0135645 | − | 0.00577931i | ||||
\(681\) | 7.00858 | − | 28.4349i | 0.268569 | − | 1.08963i | ||||
\(682\) | −71.1074 | − | 2.86553i | −2.72284 | − | 0.109727i | ||||
\(683\) | −25.8863 | + | 12.2832i | −0.990513 | + | 0.470004i | −0.853797 | − | 0.520606i | \(-0.825706\pi\) |
−0.136716 | + | 0.990610i | \(0.543655\pi\) | |||||||
\(684\) | −109.424 | − | 75.5297i | −4.18392 | − | 2.88795i | ||||
\(685\) | −35.7765 | + | 11.9439i | −1.36695 | + | 0.456355i | ||||
\(686\) | 23.0003 | − | 48.4721i | 0.878155 | − | 1.85067i | ||||
\(687\) | −9.98866 | + | 29.9197i | −0.381091 | + | 1.14151i | ||||
\(688\) | 27.4764 | + | 6.77232i | 1.04753 | + | 0.258192i | ||||
\(689\) | −10.4593 | + | 21.0476i | −0.398468 | + | 0.801849i | ||||
\(690\) | 101.975 | − | 25.1345i | 3.88211 | − | 0.956853i | ||||
\(691\) | 0.643410 | − | 7.97006i | 0.0244765 | − | 0.303195i | −0.972923 | − | 0.231128i | \(-0.925758\pi\) |
0.997400 | − | 0.0720673i | \(-0.0229596\pi\) | |||||||
\(692\) | 3.16005 | + | 3.28996i | 0.120127 | + | 0.125066i | ||||
\(693\) | 13.2011 | + | 27.8207i | 0.501468 | + | 1.05682i | ||||
\(694\) | −15.8619 | + | 1.92599i | −0.602111 | + | 0.0731095i | ||||
\(695\) | 17.0419 | + | 9.83914i | 0.646436 | + | 0.373220i | ||||
\(696\) | 45.6988 | − | 60.8141i | 1.73221 | − | 2.30515i | ||||
\(697\) | −0.0158996 | + | 0.0109747i | −0.000602240 | + | 0.000415696i | ||||
\(698\) | 0.161899 | − | 0.280417i | 0.00612795 | − | 0.0106139i | ||||
\(699\) | 23.4374 | + | 40.5947i | 0.886483 | + | 1.53543i | ||||
\(700\) | 6.71903 | + | 3.18822i | 0.253955 | + | 0.120503i | ||||
\(701\) | 16.1685 | + | 8.48588i | 0.610676 | + | 0.320507i | 0.741556 | − | 0.670891i | \(-0.234088\pi\) |
−0.130880 | + | 0.991398i | \(0.541780\pi\) | |||||||
\(702\) | −30.0105 | + | 13.5785i | −1.13267 | + | 0.512487i | ||||
\(703\) | 63.5086 | − | 33.3319i | 2.39527 | − | 1.25714i | ||||
\(704\) | −51.6617 | + | 2.08190i | −1.94708 | + | 0.0784644i | ||||
\(705\) | −7.47165 | + | 36.5986i | −0.281399 | + | 1.37838i | ||||
\(706\) | −8.98299 | + | 31.0129i | −0.338079 | + | 1.16719i | ||||
\(707\) | −7.18856 | − | 13.6967i | −0.270354 | − | 0.515116i | ||||
\(708\) | 51.9211 | + | 82.1066i | 1.95131 | + | 3.08575i | ||||
\(709\) | 6.89450 | − | 42.4236i | 0.258929 | − | 1.59325i | −0.453336 | − | 0.891340i | \(-0.649766\pi\) |
0.712264 | − | 0.701911i | \(-0.247670\pi\) | |||||||
\(710\) | 1.20880 | + | 4.90429i | 0.0453654 | + | 0.184055i | ||||
\(711\) | 5.34794 | + | 26.1960i | 0.200564 | + | 0.982425i | ||||
\(712\) | 51.6654 | + | 4.17086i | 1.93624 | + | 0.156310i | ||||
\(713\) | −30.4609 | + | 48.1700i | −1.14077 | + | 1.80398i | ||||
\(714\) | −0.264226 | − | 0.234083i | −0.00988839 | − | 0.00876035i | ||||
\(715\) | 22.5911 | + | 10.1134i | 0.844861 | + | 0.378221i | ||||
\(716\) | −47.2304 | + | 41.8425i | −1.76508 | + | 1.56373i | ||||
\(717\) | −4.73967 | − | 29.1644i | −0.177006 | − | 1.08916i | ||||
\(718\) | 17.4795 | − | 7.44732i | 0.652329 | − | 0.277931i | ||||
\(719\) | 5.66182 | − | 3.58032i | 0.211150 | − | 0.133523i | −0.424705 | − | 0.905332i | \(-0.639622\pi\) |
0.635855 | + | 0.771809i | \(0.280648\pi\) | |||||||
\(720\) | −68.8481 | + | 77.7134i | −2.56582 | + | 2.89621i | ||||
\(721\) | 1.98609 | + | 24.6021i | 0.0739658 | + | 0.916231i | ||||
\(722\) | −15.5644 | − | 46.6212i | −0.579249 | − | 1.73506i | ||||
\(723\) | −18.0124 | − | 2.18710i | −0.669888 | − | 0.0813391i | ||||
\(724\) | −90.1375 | − | 67.7339i | −3.34993 | − | 2.51731i | ||||
\(725\) | 1.45554 | − | 1.78271i | 0.0540572 | − | 0.0662081i | ||||
\(726\) | 0.651929 | + | 0.532284i | 0.0241954 | + | 0.0197549i | ||||
\(727\) | 25.5350 | + | 36.9939i | 0.947042 | + | 1.37203i | 0.928150 | + | 0.372206i | \(0.121399\pi\) |
0.0188925 | + | 0.999822i | \(0.493986\pi\) | |||||||
\(728\) | 64.6378 | + | 1.17321i | 2.39564 | + | 0.0434821i | ||||
\(729\) | −24.4202 | + | 35.3788i | −0.904452 | + | 1.31032i | ||||
\(730\) | 1.54093 | − | 0.446336i | 0.0570324 | − | 0.0165196i | ||||
\(731\) | −0.0461118 | − | 0.0291593i | −0.00170551 | − | 0.00107850i | ||||
\(732\) | −0.935688 | − | 0.152064i | −0.0345840 | − | 0.00562045i | ||||
\(733\) | 3.42591 | + | 1.29928i | 0.126539 | + | 0.0479898i | 0.417062 | − | 0.908878i | \(-0.363060\pi\) |
−0.290523 | + | 0.956868i | \(0.593829\pi\) | |||||||
\(734\) | −25.9507 | + | 60.9086i | −0.957858 | + | 2.24818i | ||||
\(735\) | 9.01474 | + | 8.65878i | 0.332514 | + | 0.319384i | ||||
\(736\) | −47.9158 | + | 91.2959i | −1.76620 | + | 3.36521i | ||||
\(737\) | 1.01226 | − | 0.0817177i | 0.0372869 | − | 0.00301011i | ||||
\(738\) | 2.71525 | + | 9.37411i | 0.0999496 | + | 0.345066i | ||||
\(739\) | −12.8318 | + | 12.3252i | −0.472027 | + | 0.453388i | −0.890595 | − | 0.454797i | \(-0.849712\pi\) |
0.418568 | + | 0.908186i | \(0.362532\pi\) | |||||||
\(740\) | −43.9571 | − | 115.905i | −1.61589 | − | 4.26076i | ||||
\(741\) | −58.0895 | − | 12.9614i | −2.13397 | − | 0.476150i | ||||
\(742\) | −13.4404 | + | 35.4393i | −0.493411 | + | 1.30102i | ||||
\(743\) | −20.6690 | − | 48.5118i | −0.758271 | − | 1.77973i | −0.612600 | − | 0.790393i | \(-0.709876\pi\) |
−0.145671 | − | 0.989333i | \(-0.546534\pi\) | |||||||
\(744\) | −7.22373 | − | 179.255i | −0.264835 | − | 6.57181i | ||||
\(745\) | −20.4712 | − | 25.0727i | −0.750007 | − | 0.918591i | ||||
\(746\) | − | 35.8223i | − | 1.31155i | ||||||
\(747\) | 12.1827 | − | 9.94688i | 0.445742 | − | 0.363937i | ||||
\(748\) | 0.362635 | + | 0.105039i | 0.0132593 | + | 0.00384059i | ||||
\(749\) | 5.32937 | + | 6.01562i | 0.194731 | + | 0.219806i | ||||
\(750\) | −58.6624 | + | 61.0740i | −2.14205 | + | 2.23011i | ||||
\(751\) | 50.2725 | + | 16.7834i | 1.83447 | + | 0.612436i | 0.997914 | + | 0.0645569i | \(0.0205634\pi\) |
0.836557 | + | 0.547880i | \(0.184565\pi\) | |||||||
\(752\) | −46.6905 | − | 62.1337i | −1.70263 | − | 2.26578i | ||||
\(753\) | −5.36973 | − | 44.2237i | −0.195684 | − | 1.61160i | ||||
\(754\) | 8.47268 | − | 31.8740i | 0.308557 | − | 1.16078i | ||||
\(755\) | −2.81768 | + | 23.2057i | −0.102546 | + | 0.844542i | ||||
\(756\) | −33.0147 | + | 19.0610i | −1.20073 | + | 0.693243i | ||||
\(757\) | 12.9603 | − | 9.73904i | 0.471050 | − | 0.353971i | −0.338554 | − | 0.940947i | \(-0.609938\pi\) |
0.809605 | + | 0.586975i | \(0.199682\pi\) | |||||||
\(758\) | 1.21311 | − | 30.1029i | 0.0440620 | − | 1.09339i | ||||
\(759\) | −58.4917 | + | 22.1830i | −2.12311 | + | 0.805191i | ||||
\(760\) | −102.430 | + | 20.9112i | −3.71552 | + | 0.758528i | ||||
\(761\) | 47.6720 | − | 9.73232i | 1.72811 | − | 0.352796i | 0.769747 | − | 0.638349i | \(-0.220382\pi\) |
0.958363 | + | 0.285553i | \(0.0921771\pi\) | |||||||
\(762\) | −22.9730 | + | 8.71252i | −0.832225 | + | 0.315621i | ||||
\(763\) | 1.04978 | − | 26.0500i | 0.0380046 | − | 0.943074i | ||||
\(764\) | −43.1553 | + | 32.4291i | −1.56130 | + | 1.17324i | ||||
\(765\) | 0.173348 | − | 0.100083i | 0.00626743 | − | 0.00361850i | ||||
\(766\) | −9.60933 | + | 79.1400i | −0.347199 | + | 2.85944i | ||||
\(767\) | 20.7590 | + | 14.8923i | 0.749565 | + | 0.537729i | ||||
\(768\) | −0.527930 | − | 4.34790i | −0.0190500 | − | 0.156891i | ||||
\(769\) | −0.204687 | − | 0.272389i | −0.00738121 | − | 0.00982260i | 0.795737 | − | 0.605642i | \(-0.207084\pi\) |
−0.803118 | + | 0.595820i | \(0.796827\pi\) | |||||||
\(770\) | 37.8614 | + | 12.6400i | 1.36443 | + | 0.455514i | ||||
\(771\) | 35.0165 | − | 36.4560i | 1.26109 | − | 1.31293i | ||||
\(772\) | −75.3156 | − | 85.0138i | −2.71067 | − | 3.05971i | ||||
\(773\) | −9.76636 | − | 2.82886i | −0.351272 | − | 0.101747i | 0.0978909 | − | 0.995197i | \(-0.468790\pi\) |
−0.449162 | + | 0.893450i | \(0.648278\pi\) | |||||||
\(774\) | −21.3485 | + | 17.4305i | −0.767357 | + | 0.626528i | ||||
\(775\) | − | 5.42759i | − | 0.194965i | ||||||
\(776\) | 7.83442 | + | 9.59542i | 0.281239 | + | 0.344455i | ||||
\(777\) | −2.77978 | − | 68.9795i | −0.0997240 | − | 2.47463i | ||||
\(778\) | 20.1098 | + | 47.1995i | 0.720973 | + | 1.69219i | ||||
\(779\) | −1.86273 | + | 4.91162i | −0.0667393 | + | 0.175977i | ||||
\(780\) | −34.3393 | + | 96.9637i | −1.22954 | + | 3.47186i | ||||
\(781\) | −1.06685 | − | 2.81306i | −0.0381750 | − | 0.100659i | ||||
\(782\) | 0.303848 | − | 0.291850i | 0.0108656 | − | 0.0104365i | ||||
\(783\) | 3.28215 | + | 11.3313i | 0.117294 | + | 0.404947i | ||||
\(784\) | −25.9236 | + | 2.09277i | −0.925842 | + | 0.0747417i | ||||
\(785\) | 2.27989 | − | 4.34396i | 0.0813727 | − | 0.155043i | ||||
\(786\) | −32.1614 | − | 30.8914i | −1.14716 | − | 1.10186i | ||||
\(787\) | −12.0841 | + | 28.3623i | −0.430750 | + | 1.01101i | 0.553278 | + | 0.832996i | \(0.313377\pi\) |
−0.984028 | + | 0.178011i | \(0.943034\pi\) | |||||||
\(788\) | 81.8825 | + | 31.0539i | 2.91694 | + | 1.10625i | ||||
\(789\) | 24.5718 | + | 3.99331i | 0.874780 | + | 0.142166i | ||||
\(790\) | 29.2911 | + | 18.5225i | 1.04213 | + | 0.659002i | ||||
\(791\) | −4.54170 | + | 1.31552i | −0.161484 | + | 0.0467745i | ||||
\(792\) | 65.7182 | − | 95.2093i | 2.33520 | − | 3.38311i | ||||
\(793\) | −0.243103 | + | 0.0552599i | −0.00863286 | + | 0.00196234i | ||||
\(794\) | 45.7647 | + | 66.3017i | 1.62413 | + | 2.35296i | ||||
\(795\) | −28.3366 | − | 23.1361i | −1.00500 | − | 0.820553i | ||||
\(796\) | −77.8751 | + | 95.3796i | −2.76021 | + | 3.38064i | ||||
\(797\) | 5.86070 | + | 4.40403i | 0.207597 | + | 0.155999i | 0.699455 | − | 0.714676i | \(-0.253426\pi\) |
−0.491859 | + | 0.870675i | \(0.663682\pi\) | |||||||
\(798\) | −95.2818 | − | 11.5693i | −3.37294 | − | 0.409549i | ||||
\(799\) | 0.0474499 | + | 0.142130i | 0.00167866 | + | 0.00502819i | ||||
\(800\) | −0.790104 | − | 9.78720i | −0.0279344 | − | 0.346030i | ||||
\(801\) | −17.8942 | + | 20.1984i | −0.632260 | + | 0.713674i | ||||
\(802\) | 36.6710 | − | 23.1893i | 1.29490 | − | 0.818843i | ||||
\(803\) | −0.879088 | + | 0.374544i | −0.0310223 | + | 0.0132174i | ||||
\(804\) | 0.677017 | + | 4.16585i | 0.0238765 | + | 0.146918i | ||||
\(805\) | 23.9274 | − | 21.1979i | 0.843331 | − | 0.747126i | ||||
\(806\) | −32.0631 | − | 70.8642i | −1.12937 | − | 2.49608i | ||||
\(807\) | 6.88187 | + | 6.09681i | 0.242253 | + | 0.214618i | ||||
\(808\) | −31.0593 | + | 49.1164i | −1.09266 | + | 1.72791i | ||||
\(809\) | 46.9488 | + | 3.79010i | 1.65063 | + | 0.133253i | 0.870436 | − | 0.492281i | \(-0.163837\pi\) |
0.780197 | + | 0.625534i | \(0.215119\pi\) | |||||||
\(810\) | 3.94564 | + | 19.3270i | 0.138636 | + | 0.679082i | ||||
\(811\) | −11.3081 | − | 45.8788i | −0.397082 | − | 1.61102i | −0.740647 | − | 0.671894i | \(-0.765481\pi\) |
0.343565 | − | 0.939129i | \(-0.388365\pi\) | |||||||
\(812\) | 6.12291 | − | 37.6758i | 0.214872 | − | 1.32216i | ||||
\(813\) | 17.5481 | + | 27.7501i | 0.615439 | + | 0.973239i | ||||
\(814\) | 47.8118 | + | 91.0977i | 1.67580 | + | 3.19297i | ||||
\(815\) | 10.3080 | − | 35.5874i | 0.361074 | − | 1.24657i | ||||
\(816\) | −0.141799 | + | 0.694578i | −0.00496396 | + | 0.0243151i | ||||
\(817\) | −14.8223 | + | 0.597319i | −0.518568 | + | 0.0208976i | ||||
\(818\) | −18.1411 | + | 9.52117i | −0.634288 | + | 0.332900i | ||||
\(819\) | −20.7037 | + | 26.5349i | −0.723446 | + | 0.927205i | ||||
\(820\) | 8.03881 | + | 4.21909i | 0.280727 | + | 0.147337i | ||||
\(821\) | −26.1468 | − | 12.4068i | −0.912531 | − | 0.433001i | −0.0862589 | − | 0.996273i | \(-0.527491\pi\) |
−0.826272 | + | 0.563272i | \(0.809542\pi\) | |||||||
\(822\) | 65.0479 | + | 112.666i | 2.26881 | + | 3.92969i | ||||
\(823\) | 13.9807 | − | 24.2153i | 0.487336 | − | 0.844091i | −0.512558 | − | 0.858653i | \(-0.671302\pi\) |
0.999894 | + | 0.0145616i | \(0.00463527\pi\) | |||||||
\(824\) | 76.3131 | − | 52.6751i | 2.65849 | − | 1.83502i | ||||
\(825\) | 3.57889 | − | 4.76263i | 0.124601 | − | 0.165814i | ||||
\(826\) | 35.6807 | + | 20.6003i | 1.24149 | + | 0.716775i | ||||
\(827\) | −22.6812 | + | 2.75399i | −0.788701 | + | 0.0957657i | −0.504969 | − | 0.863138i | \(-0.668496\pi\) |
−0.283733 | + | 0.958903i | \(0.591573\pi\) | |||||||
\(828\) | −65.4780 | − | 137.992i | −2.27552 | − | 4.79556i | ||||
\(829\) | 22.1143 | + | 23.0234i | 0.768062 | + | 0.799637i | 0.984263 | − | 0.176712i | \(-0.0565460\pi\) |
−0.216201 | + | 0.976349i | \(0.569367\pi\) | |||||||
\(830\) | 1.64043 | − | 20.3204i | 0.0569403 | − | 0.705333i | ||||
\(831\) | 26.5180 | − | 6.53609i | 0.919898 | − | 0.226734i | ||||
\(832\) | −27.3621 | − | 49.4436i | −0.948611 | − | 1.71415i | ||||
\(833\) | 0.0486844 | + | 0.0119996i | 0.00168682 | + | 0.000415763i | ||||
\(834\) | 21.4937 | − | 64.3814i | 0.744265 | − | 2.22935i | ||||
\(835\) | −18.6361 | + | 39.2748i | −0.644930 | + | 1.35916i | ||||
\(836\) | 97.3711 | − | 32.5072i | 3.36765 | − | 1.12429i | ||||
\(837\) | 22.8966 | + | 15.8044i | 0.791424 | + | 0.546281i | ||||
\(838\) | 70.0672 | − | 33.2473i | 2.42043 | − | 1.14851i | ||||
\(839\) | 27.9802 | + | 1.12756i | 0.965985 | + | 0.0389279i | 0.518242 | − | 0.855234i | \(-0.326587\pi\) |
0.447743 | + | 0.894162i | \(0.352228\pi\) | |||||||
\(840\) | −24.0808 | + | 97.6997i | −0.830867 | + | 3.37096i | ||||
\(841\) | 15.8127 | + | 6.73715i | 0.545265 | + | 0.232316i | ||||
\(842\) | −15.2123 | + | 2.47223i | −0.524249 | + | 0.0851987i | ||||
\(843\) | −30.2995 | − | 6.18568i | −1.04357 | − | 0.213046i | ||||
\(844\) | −17.8496 | −0.614409 | ||||||||
\(845\) | 1.19685 | + | 27.0259i | 0.0411731 | + | 0.929719i | ||||
\(846\) | 75.6940 | 2.60241 | ||||||||
\(847\) | 0.250988 | + | 0.0512396i | 0.00862405 | + | 0.00176061i | ||||
\(848\) | 75.1305 | − | 12.2099i | 2.57999 | − | 0.419289i | ||||
\(849\) | −5.77717 | − | 2.46142i | −0.198272 | − | 0.0844758i | ||||
\(850\) | −0.00960186 | + | 0.0389563i | −0.000329341 | + | 0.00133619i | ||||
\(851\) | 82.3271 | + | 3.31767i | 2.82214 | + | 0.113728i | ||||
\(852\) | 11.2961 | − | 5.36005i | 0.386997 | − | 0.183632i | ||||
\(853\) | 28.8277 | + | 19.8983i | 0.987040 | + | 0.681305i | 0.948112 | − | 0.317937i | \(-0.102990\pi\) |
0.0389284 | + | 0.999242i | \(0.487606\pi\) | |||||||
\(854\) | −0.381351 | + | 0.127314i | −0.0130496 | + | 0.00435659i | ||||
\(855\) | 23.3317 | − | 49.1705i | 0.797927 | − | 1.68160i | ||||
\(856\) | 9.56117 | − | 28.6392i | 0.326794 | − | 0.978867i | ||||
\(857\) | 46.1616 | + | 11.3778i | 1.57685 | + | 0.388659i | 0.928096 | − | 0.372340i | \(-0.121444\pi\) |
0.648753 | + | 0.760999i | \(0.275291\pi\) | |||||||
\(858\) | 18.5921 | − | 83.3244i | 0.634723 | − | 2.84465i | ||||
\(859\) | −4.24338 | + | 1.04590i | −0.144782 | + | 0.0356856i | −0.311041 | − | 0.950397i | \(-0.600678\pi\) |
0.166258 | + | 0.986082i | \(0.446831\pi\) | |||||||
\(860\) | −2.06302 | + | 25.5551i | −0.0703483 | + | 0.871420i | ||||
\(861\) | 3.50246 | + | 3.64645i | 0.119364 | + | 0.124271i | ||||
\(862\) | 22.8774 | + | 48.2131i | 0.779208 | + | 1.64215i | ||||
\(863\) | −2.53669 | + | 0.308010i | −0.0863499 | + | 0.0104848i | −0.163598 | − | 0.986527i | \(-0.552310\pi\) |
0.0772477 | + | 0.997012i | \(0.475387\pi\) | |||||||
\(864\) | 43.5886 | + | 25.1659i | 1.48292 | + | 0.856162i | ||||
\(865\) | −1.12177 | + | 1.49280i | −0.0381412 | + | 0.0507567i | ||||
\(866\) | −6.42655 | + | 4.43593i | −0.218383 | + | 0.150739i | ||||
\(867\) | −22.9222 | + | 39.7025i | −0.778480 | + | 1.34837i | ||||
\(868\) | −45.0091 | − | 77.9580i | −1.52771 | − | 2.64607i | ||||
\(869\) | −18.6492 | − | 8.84918i | −0.632632 | − | 0.300188i | ||||
\(870\) | 45.4539 | + | 23.8560i | 1.54103 | + | 0.808796i | ||||
\(871\) | 0.576108 | + | 0.948730i | 0.0195207 | + | 0.0321465i | ||||
\(872\) | −86.7265 | + | 45.5176i | −2.93693 | + | 1.54142i | ||||
\(873\) | −6.44375 | + | 0.259674i | −0.218088 | + | 0.00878864i | ||||
\(874\) | 22.9138 | − | 112.239i | 0.775070 | − | 3.79654i | ||||
\(875\) | −7.17105 | + | 24.7573i | −0.242426 | + | 0.836951i | ||||
\(876\) | −1.84549 | − | 3.51629i | −0.0623534 | − | 0.118804i | ||||
\(877\) | −26.2479 | − | 41.5078i | −0.886330 | − | 1.40162i | −0.915619 | − | 0.402047i | \(-0.868299\pi\) |
0.0292890 | − | 0.999571i | \(-0.490676\pi\) | |||||||
\(878\) | 7.97749 | − | 49.0875i | 0.269227 | − | 1.65662i | ||||
\(879\) | −12.3300 | − | 50.0250i | −0.415882 | − | 1.68730i | ||||
\(880\) | −16.0339 | − | 78.5393i | −0.540503 | − | 2.64756i | ||||
\(881\) | −41.4597 | − | 3.34698i | −1.39681 | − | 0.112763i | −0.640996 | − | 0.767544i | \(-0.721479\pi\) |
−0.755818 | + | 0.654782i | \(0.772761\pi\) | |||||||
\(882\) | 13.5378 | − | 21.4082i | 0.455840 | − | 0.720853i | ||||
\(883\) | −28.1278 | − | 24.9190i | −0.946575 | − | 0.838592i | 0.0404463 | − | 0.999182i | \(-0.487122\pi\) |
−0.987021 | + | 0.160589i | \(0.948661\pi\) | |||||||
\(884\) | 0.0751872 | + | 0.405728i | 0.00252882 | + | 0.0136461i | ||||
\(885\) | −29.7648 | + | 26.3693i | −1.00053 | + | 0.886393i | ||||
\(886\) | 3.59174 | + | 22.1009i | 0.120667 | + | 0.742493i | ||||
\(887\) | −44.0027 | + | 18.7478i | −1.47747 | + | 0.629490i | −0.972343 | − | 0.233557i | \(-0.924964\pi\) |
−0.505124 | + | 0.863047i | \(0.668553\pi\) | |||||||
\(888\) | −219.206 | + | 138.617i | −7.35606 | + | 4.65169i | ||||
\(889\) | −4.95898 | + | 5.59753i | −0.166319 | + | 0.187735i | ||||
\(890\) | 2.81458 | + | 34.8648i | 0.0943449 | + | 1.16867i | ||||
\(891\) | −3.72059 | − | 11.1445i | −0.124644 | − | 0.373356i | ||||
\(892\) | −52.8320 | − | 6.41497i | −1.76895 | − | 0.214789i | ||||
\(893\) | 32.5709 | + | 24.4755i | 1.08994 | + | 0.819040i | ||||
\(894\) | −70.6094 | + | 86.4809i | −2.36153 | + | 2.89235i | ||||
\(895\) | −20.0071 | − | 16.3353i | −0.668764 | − | 0.546029i | ||||
\(896\) | −15.3733 | − | 22.2721i | −0.513587 | − | 0.744060i | ||||
\(897\) | −50.3459 | − | 46.2602i | −1.68100 | − | 1.54458i | ||||
\(898\) | −8.55885 | + | 12.3996i | −0.285612 | + | 0.413781i | ||||
\(899\) | −26.7567 | + | 7.75018i | −0.892387 | + | 0.258483i | ||||
\(900\) | 12.2939 | + | 7.77417i | 0.409796 | + | 0.259139i | ||||
\(901\) | −0.144846 | − | 0.0235398i | −0.00482553 | − | 0.000784225i | ||||
\(902\) | −7.04530 | − | 2.67193i | −0.234583 | − | 0.0889656i | ||||
\(903\) | −5.59661 | + | 13.1357i | −0.186243 | + | 0.437129i | ||||
\(904\) | 12.8113 | + | 12.3055i | 0.426099 | + | 0.409274i | ||||
\(905\) | 21.4483 | − | 40.8663i | 0.712966 | − | 1.35844i | ||||
\(906\) | 80.3677 | − | 6.48795i | 2.67004 | − | 0.215548i | ||||
\(907\) | 1.86841 | + | 6.45049i | 0.0620395 | + | 0.214185i | 0.985549 | − | 0.169390i | \(-0.0541798\pi\) |
−0.923510 | + | 0.383575i | \(0.874693\pi\) | |||||||
\(908\) | −39.8150 | + | 38.2428i | −1.32131 | + | 1.26913i | ||||
\(909\) | −10.7281 | − | 28.2878i | −0.355830 | − | 0.938247i | ||||
\(910\) | 6.21550 | + | 43.1810i | 0.206042 | + | 1.43144i | ||||
\(911\) | 0.836691 | − | 2.20617i | 0.0277208 | − | 0.0730937i | −0.920441 | − | 0.390881i | \(-0.872170\pi\) |
0.948162 | + | 0.317787i | \(0.102940\pi\) | |||||||
\(912\) | 75.5523 | + | 177.328i | 2.50179 | + | 5.87191i | ||||
\(913\) | 0.488942 | + | 12.1330i | 0.0161816 | + | 0.401543i | ||||
\(914\) | 36.0972 | + | 44.2110i | 1.19399 | + | 1.46237i | ||||
\(915\) | − | 0.388036i | − | 0.0128281i | ||||||
\(916\) | 46.0590 | − | 37.6060i | 1.52183 | − | 1.24254i | ||||
\(917\) | −13.0372 | − | 3.77626i | −0.430525 | − | 0.124703i | ||||
\(918\) | −0.136380 | − | 0.153942i | −0.00450122 | − | 0.00508083i | ||||
\(919\) | −14.8973 | + | 15.5097i | −0.491416 | + | 0.511618i | −0.920018 | − | 0.391875i | \(-0.871826\pi\) |
0.428603 | + | 0.903493i | \(0.359006\pi\) | |||||||
\(920\) | −113.914 | − | 38.0300i | −3.75563 | − | 1.25381i | ||||
\(921\) | −13.1990 | − | 17.5646i | −0.434921 | − | 0.578774i | ||||
\(922\) | −1.77843 | − | 14.6467i | −0.0585696 | − | 0.482364i | ||||
\(923\) | 2.22481 | − | 2.42130i | 0.0732304 | − | 0.0796980i | ||||
\(924\) | 11.9097 | − | 98.0855i | 0.391802 | − | 3.22678i | ||||
\(925\) | −6.79533 | + | 3.92329i | −0.223429 | + | 0.128997i | ||||
\(926\) | −72.3282 | + | 54.3511i | −2.37685 | + | 1.78609i | ||||
\(927\) | −1.94381 | + | 48.2351i | −0.0638430 | + | 1.58425i | ||||
\(928\) | −47.1204 | + | 17.8704i | −1.54680 | + | 0.586625i | ||||
\(929\) | 9.68650 | − | 1.97751i | 0.317804 | − | 0.0648801i | −0.0384758 | − | 0.999260i | \(-0.512250\pi\) |
0.356279 | + | 0.934379i | \(0.384045\pi\) | |||||||
\(930\) | 118.616 | − | 24.2157i | 3.88958 | − | 0.794064i | ||||
\(931\) | 12.7476 | − | 4.83451i | 0.417784 | − | 0.158445i | ||||
\(932\) | 3.55801 | − | 88.2912i | 0.116547 | − | 2.89207i | ||||
\(933\) | 40.9281 | − | 30.7555i | 1.33993 | − | 1.00689i | ||||
\(934\) | −26.0388 | + | 15.0335i | −0.852015 | + | 0.491911i | ||||
\(935\) | −0.0186279 | + | 0.153415i | −0.000609198 | + | 0.00501720i | ||||
\(936\) | 125.223 | + | 17.5162i | 4.09303 | + | 0.572536i | ||||
\(937\) | −1.16615 | − | 9.60410i | −0.0380964 | − | 0.313752i | −0.999283 | − | 0.0378540i | \(-0.987948\pi\) |
0.961187 | − | 0.275898i | \(-0.0889753\pi\) | |||||||
\(938\) | 1.07531 | + | 1.43097i | 0.0351100 | + | 0.0467229i | ||||
\(939\) | −16.3489 | − | 5.45808i | −0.533527 | − | 0.178118i | ||||
\(940\) | 48.7777 | − | 50.7830i | 1.59095 | − | 1.65636i | ||||
\(941\) | 4.79981 | + | 5.41786i | 0.156469 | + | 0.176617i | 0.821518 | − | 0.570183i | \(-0.193128\pi\) |
−0.665049 | + | 0.746800i | \(0.731589\pi\) | |||||||
\(942\) | −16.2534 | − | 4.70785i | −0.529564 | − | 0.153390i | ||||
\(943\) | −4.67429 | + | 3.81644i | −0.152216 | + | 0.124280i | ||||
\(944\) | − | 82.7397i | − | 2.69295i | ||||||
\(945\) | −9.86915 | − | 12.0875i | −0.321043 | − | 0.393207i | ||||
\(946\) | −0.856804 | − | 21.2614i | −0.0278571 | − | 0.691267i | ||||
\(947\) | 20.7297 | + | 48.6543i | 0.673624 | + | 1.58105i | 0.807375 | + | 0.590038i | \(0.200887\pi\) |
−0.133752 | + | 0.991015i | \(0.542702\pi\) | |||||||
\(948\) | 30.4204 | − | 80.2120i | 0.988009 | − | 2.60517i | ||||
\(949\) | −0.796859 | − | 0.675083i | −0.0258671 | − | 0.0219141i | ||||
\(950\) | 3.86848 | + | 10.2003i | 0.125510 | + | 0.330943i | ||||
\(951\) | −54.3625 | + | 52.2158i | −1.76282 | + | 1.69321i | ||||
\(952\) | 0.112301 | + | 0.387709i | 0.00363971 | + | 0.0125657i | ||||
\(953\) | 17.3743 | − | 1.40260i | 0.562808 | − | 0.0454345i | 0.204211 | − | 0.978927i | \(-0.434537\pi\) |
0.358597 | + | 0.933492i | \(0.383255\pi\) | |||||||
\(954\) | −34.4503 | + | 65.6395i | −1.11537 | + | 2.12516i | ||||
\(955\) | −15.9362 | − | 15.3069i | −0.515682 | − | 0.495320i | ||||
\(956\) | −21.8320 | + | 51.2416i | −0.706097 | + | 1.65727i | ||||
\(957\) | −28.5890 | − | 10.8424i | −0.924152 | − | 0.350485i | ||||
\(958\) | −14.5739 | − | 2.36848i | −0.470860 | − | 0.0765222i | ||||
\(959\) | 33.4670 | + | 21.1633i | 1.08071 | + | 0.683397i | ||||
\(960\) | 84.4833 | − | 24.4709i | 2.72669 | − | 0.789795i | ||||
\(961\) | −19.7092 | + | 28.5537i | −0.635780 | + | 0.921087i | ||||
\(962\) | −65.5453 | + | 91.3665i | −2.11327 | + | 2.94578i | ||||
\(963\) | 8.92919 | + | 12.9362i | 0.287739 | + | 0.416862i | ||||
\(964\) | 26.4948 | + | 21.6323i | 0.853339 | + | 0.696730i | ||||
\(965\) | 29.4032 | − | 36.0124i | 0.946523 | − | 1.15928i | ||||
\(966\) | −88.1465 | − | 66.2378i | −2.83607 | − | 2.13117i | ||||
\(967\) | 37.9243 | + | 4.60484i | 1.21956 | + | 0.148082i | 0.704897 | − | 0.709309i | \(-0.250993\pi\) |
0.514666 | + | 0.857391i | \(0.327916\pi\) | |||||||
\(968\) | −0.304753 | − | 0.912847i | −0.00979514 | − | 0.0293400i | ||||
\(969\) | −0.0299024 | − | 0.370407i | −0.000960602 | − | 0.0118992i | ||||
\(970\) | −5.54325 | + | 6.25704i | −0.177983 | + | 0.200901i | ||||
\(971\) | −22.2605 | + | 14.0767i | −0.714374 | + | 0.451743i | −0.841579 | − | 0.540134i | \(-0.818374\pi\) |
0.127205 | + | 0.991876i | \(0.459399\pi\) | |||||||
\(972\) | 93.0818 | − | 39.6585i | 2.98560 | − | 1.27205i | ||||
\(973\) | −3.31391 | − | 20.3913i | −0.106239 | − | 0.653716i | ||||
\(974\) | −18.6271 | + | 16.5021i | −0.596849 | + | 0.528762i | ||||
\(975\) | 6.40689 | + | 1.16093i | 0.205185 | + | 0.0371796i | ||||
\(976\) | 0.604338 | + | 0.535397i | 0.0193444 | + | 0.0171376i | ||||
\(977\) | −11.4569 | + | 18.1177i | −0.366540 | + | 0.579637i | −0.977217 | − | 0.212243i | \(-0.931923\pi\) |
0.610677 | + | 0.791880i | \(0.290898\pi\) | |||||||
\(978\) | −127.380 | − | 10.2831i | −4.07315 | − | 0.328819i | ||||
\(979\) | −4.16735 | − | 20.4130i | −0.133189 | − | 0.652403i | ||||
\(980\) | −5.63894 | − | 22.8781i | −0.180129 | − | 0.730814i | ||||
\(981\) | 8.17951 | − | 50.3306i | 0.261152 | − | 1.60693i | ||||
\(982\) | −8.35839 | − | 13.2177i | −0.266727 | − | 0.421795i | ||||
\(983\) | −20.3907 | − | 38.8513i | −0.650363 | − | 1.23916i | −0.957757 | − | 0.287580i | \(-0.907149\pi\) |
0.307394 | − | 0.951582i | \(-0.400543\pi\) | |||||||
\(984\) | 5.28472 | − | 18.2450i | 0.168471 | − | 0.581628i | ||||
\(985\) | −7.17032 | + | 35.1225i | −0.228465 | + | 1.11910i | ||||
\(986\) | 0.205756 | − | 0.00829168i | 0.00655261 | − | 0.000264061i | ||||
\(987\) | 34.7229 | − | 18.2240i | 1.10524 | − | 0.580077i | ||||
\(988\) | 79.4924 | + | 79.1767i | 2.52899 | + | 2.51895i | ||||
\(989\) | −15.0892 | − | 7.91941i | −0.479808 | − | 0.251823i | ||||
\(990\) | 70.5309 | + | 33.4673i | 2.24162 | + | 1.06366i | ||||
\(991\) | −24.9154 | − | 43.1547i | −0.791464 | − | 1.37086i | −0.925061 | − | 0.379819i | \(-0.875986\pi\) |
0.133597 | − | 0.991036i | \(-0.457347\pi\) | |||||||
\(992\) | −59.4246 | + | 102.927i | −1.88673 | + | 3.26792i | ||||
\(993\) | −7.69390 | + | 5.31072i | −0.244159 | + | 0.168531i | ||||
\(994\) | 3.18559 | − | 4.23925i | 0.101041 | − | 0.134461i | ||||
\(995\) | −43.6502 | − | 25.2015i | −1.38381 | − | 0.798940i | ||||
\(996\) | −50.0963 | + | 6.08279i | −1.58736 | + | 0.192740i | ||||
\(997\) | −13.6906 | − | 28.8524i | −0.433586 | − | 0.913763i | −0.996204 | − | 0.0870463i | \(-0.972257\pi\) |
0.562618 | − | 0.826717i | \(-0.309794\pi\) | |||||||
\(998\) | 31.9651 | + | 33.2792i | 1.01184 | + | 1.05344i | ||||
\(999\) | 3.23645 | − | 40.0907i | 0.102397 | − | 1.26841i |
(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 | 169.2.k.a.10.1 | ✓ | 360 | |
169.17 | even | 78 | inner | 169.2.k.a.17.1 | yes | 360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
169.2.k.a.10.1 | ✓ | 360 | 1.1 | even | 1 | trivial | |
169.2.k.a.17.1 | yes | 360 | 169.17 | even | 78 | inner |