Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 557.33 | ||
Character | \(\chi\) | \(=\) | 570.557 |
Dual form | 570.2.bi.a.263.33 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0871557 | − | 0.996195i | 0.0616284 | − | 0.704416i | ||||
\(3\) | 0.451960 | + | 1.67204i | 0.260939 | + | 0.965355i | ||||
\(4\) | −0.984808 | − | 0.173648i | −0.492404 | − | 0.0868241i | ||||
\(5\) | 1.03553 | − | 1.98184i | 0.463103 | − | 0.886305i | ||||
\(6\) | 1.70507 | − | 0.304512i | 0.696093 | − | 0.124316i | ||||
\(7\) | −4.18155 | + | 1.12044i | −1.58048 | + | 0.423488i | −0.939074 | − | 0.343715i | \(-0.888314\pi\) |
−0.641404 | + | 0.767203i | \(0.721648\pi\) | |||||||
\(8\) | −0.258819 | + | 0.965926i | −0.0915064 | + | 0.341506i | ||||
\(9\) | −2.59146 | + | 1.51139i | −0.863821 | + | 0.503798i | ||||
\(10\) | −1.88404 | − | 1.20432i | −0.595787 | − | 0.380838i | ||||
\(11\) | −4.96913 | + | 2.86893i | −1.49825 | + | 0.865014i | −0.999998 | − | 0.00201896i | \(-0.999357\pi\) |
−0.498251 | + | 0.867033i | \(0.666024\pi\) | |||||||
\(12\) | −0.154746 | − | 1.72512i | −0.0446714 | − | 0.498000i | ||||
\(13\) | 0.780821 | − | 1.67448i | 0.216561 | − | 0.464416i | −0.767775 | − | 0.640719i | \(-0.778636\pi\) |
0.984336 | + | 0.176303i | \(0.0564140\pi\) | |||||||
\(14\) | 0.751733 | + | 4.26329i | 0.200909 | + | 1.13941i | ||||
\(15\) | 3.78174 | + | 0.835739i | 0.976440 | + | 0.215787i | ||||
\(16\) | 0.939693 | + | 0.342020i | 0.234923 | + | 0.0855050i | ||||
\(17\) | −0.558311 | + | 6.38153i | −0.135410 | + | 1.54775i | 0.559609 | + | 0.828757i | \(0.310951\pi\) |
−0.695019 | + | 0.718991i | \(0.744604\pi\) | |||||||
\(18\) | 1.27978 | + | 2.71333i | 0.301648 | + | 0.639538i | ||||
\(19\) | 1.95325 | + | 3.89677i | 0.448105 | + | 0.893981i | ||||
\(20\) | −1.36394 | + | 1.77191i | −0.304986 | + | 0.396211i | ||||
\(21\) | −3.76333 | − | 6.48534i | −0.821225 | − | 1.41522i | ||||
\(22\) | 2.42492 | + | 5.20026i | 0.516995 | + | 1.10870i | ||||
\(23\) | −2.19536 | + | 1.53721i | −0.457764 | + | 0.320530i | −0.779613 | − | 0.626261i | \(-0.784584\pi\) |
0.321850 | + | 0.946791i | \(0.395695\pi\) | |||||||
\(24\) | −1.73205 | + | 0.00380298i | −0.353553 | + | 0.000776279i | ||||
\(25\) | −2.85536 | − | 4.10450i | −0.571072 | − | 0.820900i | ||||
\(26\) | −1.60005 | − | 0.923790i | −0.313796 | − | 0.181170i | ||||
\(27\) | −3.69836 | − | 3.64995i | −0.711749 | − | 0.702434i | ||||
\(28\) | 4.31259 | − | 0.377302i | 0.815002 | − | 0.0713035i | ||||
\(29\) | 2.66459 | + | 2.23586i | 0.494803 | + | 0.415189i | 0.855744 | − | 0.517400i | \(-0.173100\pi\) |
−0.360941 | + | 0.932589i | \(0.617544\pi\) | |||||||
\(30\) | 1.16216 | − | 3.69451i | 0.212180 | − | 0.674522i | ||||
\(31\) | 2.65756 | − | 4.60303i | 0.477312 | − | 0.826729i | −0.522350 | − | 0.852731i | \(-0.674944\pi\) |
0.999662 | + | 0.0260022i | \(0.00827770\pi\) | |||||||
\(32\) | 0.422618 | − | 0.906308i | 0.0747091 | − | 0.160214i | ||||
\(33\) | −7.04282 | − | 7.01196i | −1.22600 | − | 1.22063i | ||||
\(34\) | 6.30858 | + | 1.11237i | 1.08191 | + | 0.190771i | ||||
\(35\) | −2.10958 | + | 9.44741i | −0.356584 | + | 1.59690i | ||||
\(36\) | 2.81454 | − | 1.03843i | 0.469091 | − | 0.173072i | ||||
\(37\) | −8.23577 | − | 8.23577i | −1.35395 | − | 1.35395i | −0.881190 | − | 0.472761i | \(-0.843257\pi\) |
−0.472761 | − | 0.881190i | \(-0.656743\pi\) | |||||||
\(38\) | 4.05218 | − | 1.60619i | 0.657350 | − | 0.260558i | ||||
\(39\) | 3.15270 | + | 0.548771i | 0.504836 | + | 0.0878737i | ||||
\(40\) | 1.64629 | + | 1.51318i | 0.260302 | + | 0.239255i | ||||
\(41\) | −0.162541 | + | 0.446577i | −0.0253846 | + | 0.0697436i | −0.951738 | − | 0.306913i | \(-0.900704\pi\) |
0.926353 | + | 0.376656i | \(0.122926\pi\) | |||||||
\(42\) | −6.78866 | + | 3.18377i | −1.04751 | + | 0.491266i | ||||
\(43\) | 5.50653 | + | 3.85571i | 0.839738 | + | 0.587991i | 0.912369 | − | 0.409368i | \(-0.134251\pi\) |
−0.0726316 | + | 0.997359i | \(0.523140\pi\) | |||||||
\(44\) | 5.39182 | − | 1.96246i | 0.812847 | − | 0.295852i | ||||
\(45\) | 0.311802 | + | 6.70095i | 0.0464807 | + | 0.998919i | ||||
\(46\) | 1.34002 | + | 2.32098i | 0.197575 | + | 0.342210i | ||||
\(47\) | −6.16322 | + | 0.539212i | −0.898998 | + | 0.0786522i | −0.527278 | − | 0.849693i | \(-0.676787\pi\) |
−0.371720 | + | 0.928345i | \(0.621232\pi\) | |||||||
\(48\) | −0.147169 | + | 1.72579i | −0.0212421 | + | 0.249096i | ||||
\(49\) | 10.1678 | − | 5.87038i | 1.45254 | − | 0.838626i | ||||
\(50\) | −4.33774 | + | 2.48676i | −0.613449 | + | 0.351681i | ||||
\(51\) | −10.9225 | + | 1.95067i | −1.52946 | + | 0.273149i | ||||
\(52\) | −1.05973 | + | 1.51345i | −0.146958 | + | 0.209878i | ||||
\(53\) | 1.20726 | − | 0.845332i | 0.165830 | − | 0.116115i | −0.487716 | − | 0.873003i | \(-0.662170\pi\) |
0.653545 | + | 0.756887i | \(0.273281\pi\) | |||||||
\(54\) | −3.95840 | + | 3.36617i | −0.538670 | + | 0.458078i | ||||
\(55\) | 0.540072 | + | 12.8189i | 0.0728233 | + | 1.72849i | ||||
\(56\) | − | 4.32906i | − | 0.578495i | ||||||
\(57\) | −5.63279 | + | 5.02710i | −0.746081 | + | 0.665855i | ||||
\(58\) | 2.45959 | − | 2.45959i | 0.322959 | − | 0.322959i | ||||
\(59\) | −3.96585 | + | 3.32774i | −0.516310 | + | 0.433235i | −0.863343 | − | 0.504618i | \(-0.831633\pi\) |
0.347033 | + | 0.937853i | \(0.387189\pi\) | |||||||
\(60\) | −3.57916 | − | 1.47973i | −0.462068 | − | 0.191033i | ||||
\(61\) | −0.779666 | + | 4.42171i | −0.0998260 | + | 0.566141i | 0.893335 | + | 0.449391i | \(0.148359\pi\) |
−0.993161 | + | 0.116751i | \(0.962752\pi\) | |||||||
\(62\) | −4.35390 | − | 3.04863i | −0.552945 | − | 0.387176i | ||||
\(63\) | 9.14291 | − | 9.22356i | 1.15190 | − | 1.16206i | ||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | −2.50998 | − | 3.28143i | −0.311324 | − | 0.407011i | ||||
\(66\) | −7.59910 | + | 6.40489i | −0.935385 | + | 0.788387i | ||||
\(67\) | 0.345971 | + | 3.95447i | 0.0422671 | + | 0.483115i | 0.987598 | + | 0.157003i | \(0.0501832\pi\) |
−0.945331 | + | 0.326112i | \(0.894261\pi\) | |||||||
\(68\) | 1.65797 | − | 6.18763i | 0.201058 | − | 0.750360i | ||||
\(69\) | −3.56249 | − | 2.97598i | −0.428873 | − | 0.358266i | ||||
\(70\) | 9.22759 | + | 2.92495i | 1.10291 | + | 0.349598i | ||||
\(71\) | 5.70504 | − | 1.00595i | 0.677064 | − | 0.119385i | 0.175466 | − | 0.984486i | \(-0.443857\pi\) |
0.501598 | + | 0.865101i | \(0.332746\pi\) | |||||||
\(72\) | −0.789175 | − | 2.89434i | −0.0930051 | − | 0.341101i | ||||
\(73\) | −5.76690 | + | 2.68915i | −0.674965 | + | 0.314741i | −0.729708 | − | 0.683759i | \(-0.760344\pi\) |
0.0547430 | + | 0.998500i | \(0.482566\pi\) | |||||||
\(74\) | −8.92222 | + | 7.48663i | −1.03719 | + | 0.870304i | ||||
\(75\) | 5.57240 | − | 6.62936i | 0.643445 | − | 0.765492i | ||||
\(76\) | −1.24690 | − | 4.17675i | −0.143030 | − | 0.479106i | ||||
\(77\) | 17.5642 | − | 17.5642i | 2.00163 | − | 2.00163i | ||||
\(78\) | 0.821459 | − | 3.09287i | 0.0930119 | − | 0.350199i | ||||
\(79\) | 3.07863 | − | 8.45846i | 0.346372 | − | 0.951651i | −0.637130 | − | 0.770756i | \(-0.719879\pi\) |
0.983503 | − | 0.180894i | \(-0.0578992\pi\) | |||||||
\(80\) | 1.65091 | − | 1.50815i | 0.184577 | − | 0.168616i | ||||
\(81\) | 4.43137 | − | 7.83345i | 0.492375 | − | 0.870383i | ||||
\(82\) | 0.430711 | + | 0.200844i | 0.0475641 | + | 0.0221795i | ||||
\(83\) | −13.4324 | + | 3.59919i | −1.47439 | + | 0.395063i | −0.904435 | − | 0.426610i | \(-0.859708\pi\) |
−0.569959 | + | 0.821673i | \(0.693041\pi\) | |||||||
\(84\) | 2.57998 | + | 7.04031i | 0.281499 | + | 0.768161i | ||||
\(85\) | 12.0690 | + | 7.71474i | 1.30907 | + | 0.836781i | ||||
\(86\) | 4.32097 | − | 5.14953i | 0.465942 | − | 0.555288i | ||||
\(87\) | −2.53417 | + | 5.46584i | −0.271691 | + | 0.585999i | ||||
\(88\) | −1.48507 | − | 5.54234i | −0.158309 | − | 0.590816i | ||||
\(89\) | 2.01641 | − | 0.733912i | 0.213739 | − | 0.0777945i | −0.232932 | − | 0.972493i | \(-0.574832\pi\) |
0.446670 | + | 0.894699i | \(0.352610\pi\) | |||||||
\(90\) | 6.70263 | + | 0.273411i | 0.706519 | + | 0.0288200i | ||||
\(91\) | −1.38889 | + | 7.87677i | −0.145595 | + | 0.825710i | ||||
\(92\) | 2.42894 | − | 1.13263i | 0.253234 | − | 0.118085i | ||||
\(93\) | 8.89759 | + | 2.36318i | 0.922637 | + | 0.245050i | ||||
\(94\) | 6.18676i | 0.638116i | ||||||||
\(95\) | 9.74541 | + | 0.164205i | 0.999858 | + | 0.0168471i | ||||
\(96\) | 1.70639 | + | 0.297022i | 0.174158 | + | 0.0303146i | ||||
\(97\) | 3.57894 | + | 0.313117i | 0.363387 | + | 0.0317922i | 0.267387 | − | 0.963589i | \(-0.413840\pi\) |
0.0959995 | + | 0.995381i | \(0.469395\pi\) | |||||||
\(98\) | −4.96186 | − | 10.6407i | −0.501224 | − | 1.07488i | ||||
\(99\) | 8.54124 | − | 14.9450i | 0.858427 | − | 1.50203i | ||||
\(100\) | 2.09924 | + | 4.53797i | 0.209924 | + | 0.453797i | ||||
\(101\) | −0.420493 | − | 1.15529i | −0.0418406 | − | 0.114956i | 0.917013 | − | 0.398858i | \(-0.130593\pi\) |
−0.958853 | + | 0.283902i | \(0.908371\pi\) | |||||||
\(102\) | 0.991290 | + | 11.0510i | 0.0981524 | + | 1.09421i | ||||
\(103\) | −0.934320 | − | 0.250350i | −0.0920613 | − | 0.0246677i | 0.212494 | − | 0.977162i | \(-0.431841\pi\) |
−0.304556 | + | 0.952495i | \(0.598508\pi\) | |||||||
\(104\) | 1.41533 | + | 1.18760i | 0.138784 | + | 0.116454i | ||||
\(105\) | −16.7499 | + | 0.742538i | −1.63463 | + | 0.0724643i | ||||
\(106\) | −0.736896 | − | 1.27634i | −0.0715737 | − | 0.123969i | ||||
\(107\) | 2.90550 | + | 10.8435i | 0.280885 | + | 1.04828i | 0.951794 | + | 0.306737i | \(0.0992373\pi\) |
−0.670909 | + | 0.741539i | \(0.734096\pi\) | |||||||
\(108\) | 3.00836 | + | 4.23671i | 0.289480 | + | 0.407678i | ||||
\(109\) | 2.90627 | − | 0.512454i | 0.278370 | − | 0.0490842i | −0.0327200 | − | 0.999465i | \(-0.510417\pi\) |
0.311090 | + | 0.950380i | \(0.399306\pi\) | |||||||
\(110\) | 12.8172 | + | 0.579220i | 1.22207 | + | 0.0552265i | ||||
\(111\) | 10.0483 | − | 17.4928i | 0.953745 | − | 1.66034i | ||||
\(112\) | −4.31259 | − | 0.377302i | −0.407501 | − | 0.0356517i | ||||
\(113\) | 3.69652 | + | 3.69652i | 0.347739 | + | 0.347739i | 0.859267 | − | 0.511528i | \(-0.170920\pi\) |
−0.511528 | + | 0.859267i | \(0.670920\pi\) | |||||||
\(114\) | 4.51704 | + | 6.04949i | 0.423059 | + | 0.566587i | ||||
\(115\) | 0.773136 | + | 5.94266i | 0.0720953 | + | 0.554156i | ||||
\(116\) | −2.23586 | − | 2.66459i | −0.207594 | − | 0.247401i | ||||
\(117\) | 0.507324 | + | 5.51947i | 0.0469021 | + | 0.510276i | ||||
\(118\) | 2.96943 | + | 4.24079i | 0.273358 | + | 0.390396i | ||||
\(119\) | −4.81553 | − | 27.3102i | −0.441439 | − | 2.50353i | ||||
\(120\) | −1.78605 | + | 3.43657i | −0.163043 | + | 0.313715i | ||||
\(121\) | 10.9615 | − | 18.9859i | 0.996499 | − | 1.72599i | ||||
\(122\) | 4.33693 | + | 1.16208i | 0.392647 | + | 0.105209i | ||||
\(123\) | −0.820159 | − | 0.0699404i | −0.0739512 | − | 0.00630631i | ||||
\(124\) | −3.41650 | + | 4.07162i | −0.306810 | + | 0.365642i | ||||
\(125\) | −11.0913 | + | 1.40853i | −0.992032 | + | 0.125983i | ||||
\(126\) | −8.39161 | − | 9.91200i | −0.747584 | − | 0.883031i | ||||
\(127\) | −9.12685 | − | 4.25592i | −0.809877 | − | 0.377652i | −0.0268499 | − | 0.999639i | \(-0.508548\pi\) |
−0.783027 | + | 0.621988i | \(0.786325\pi\) | |||||||
\(128\) | −0.573576 | + | 0.819152i | −0.0506975 | + | 0.0724035i | ||||
\(129\) | −3.95819 | + | 10.9498i | −0.348499 | + | 0.964075i | ||||
\(130\) | −3.48770 | + | 2.21443i | −0.305892 | + | 0.194218i | ||||
\(131\) | 5.24210 | + | 6.24729i | 0.458004 | + | 0.545828i | 0.944783 | − | 0.327697i | \(-0.106273\pi\) |
−0.486779 | + | 0.873525i | \(0.661828\pi\) | |||||||
\(132\) | 5.71821 | + | 8.12841i | 0.497706 | + | 0.707487i | ||||
\(133\) | −12.5337 | − | 14.1061i | −1.08681 | − | 1.22315i | ||||
\(134\) | 3.96957 | 0.342919 | ||||||||
\(135\) | −11.0634 | + | 3.54991i | −0.952183 | + | 0.305528i | ||||
\(136\) | −6.01958 | − | 2.19095i | −0.516175 | − | 0.187872i | ||||
\(137\) | 5.52683 | + | 7.89314i | 0.472189 | + | 0.674356i | 0.982634 | − | 0.185554i | \(-0.0594081\pi\) |
−0.510445 | + | 0.859911i | \(0.670519\pi\) | |||||||
\(138\) | −3.27515 | + | 3.28956i | −0.278799 | + | 0.280026i | ||||
\(139\) | −3.97433 | − | 10.9194i | −0.337098 | − | 0.926169i | −0.986213 | − | 0.165479i | \(-0.947083\pi\) |
0.649115 | − | 0.760690i | \(-0.275139\pi\) | |||||||
\(140\) | 3.71806 | − | 8.93755i | 0.314233 | − | 0.755361i | ||||
\(141\) | −3.68712 | − | 10.0615i | −0.310511 | − | 0.847329i | ||||
\(142\) | −0.504898 | − | 5.77101i | −0.0423701 | − | 0.484292i | ||||
\(143\) | 0.923951 | + | 10.5608i | 0.0772646 | + | 0.883139i | ||||
\(144\) | −2.95211 | + | 0.533913i | −0.246009 | + | 0.0444928i | ||||
\(145\) | 7.19037 | − | 2.96549i | 0.597128 | − | 0.246271i | ||||
\(146\) | 2.17630 | + | 5.97933i | 0.180112 | + | 0.494853i | ||||
\(147\) | 14.4110 | + | 14.3478i | 1.18860 | + | 1.18339i | ||||
\(148\) | 6.68052 | + | 9.54077i | 0.549136 | + | 0.784247i | ||||
\(149\) | −1.76111 | − | 0.640992i | −0.144276 | − | 0.0525121i | 0.268873 | − | 0.963176i | \(-0.413349\pi\) |
−0.413149 | + | 0.910664i | \(0.635571\pi\) | |||||||
\(150\) | −6.11846 | − | 6.12898i | −0.499571 | − | 0.500429i | ||||
\(151\) | 9.20162 | 0.748817 | 0.374409 | − | 0.927264i | \(-0.377846\pi\) | ||||
0.374409 | + | 0.927264i | \(0.377846\pi\) | |||||||
\(152\) | −4.26953 | + | 0.878131i | −0.346305 | + | 0.0712258i | ||||
\(153\) | −8.19816 | − | 17.3813i | −0.662782 | − | 1.40520i | ||||
\(154\) | −15.9665 | − | 19.0282i | −1.28662 | − | 1.53333i | ||||
\(155\) | −6.37048 | − | 10.0334i | −0.511689 | − | 0.805905i | ||||
\(156\) | −3.00951 | − | 1.08789i | −0.240954 | − | 0.0871013i | ||||
\(157\) | −4.89486 | + | 6.99058i | −0.390652 | + | 0.557909i | −0.965517 | − | 0.260339i | \(-0.916166\pi\) |
0.574865 | + | 0.818248i | \(0.305054\pi\) | |||||||
\(158\) | −8.15795 | − | 3.80411i | −0.649012 | − | 0.302639i | ||||
\(159\) | 1.95907 | + | 1.63654i | 0.155364 | + | 0.129786i | ||||
\(160\) | −1.35852 | − | 1.77607i | −0.107401 | − | 0.140411i | ||||
\(161\) | 7.45765 | − | 8.88768i | 0.587745 | − | 0.700447i | ||||
\(162\) | −7.41742 | − | 5.09724i | −0.582768 | − | 0.400477i | ||||
\(163\) | −7.32136 | − | 1.96175i | −0.573454 | − | 0.153656i | −0.0395735 | − | 0.999217i | \(-0.512600\pi\) |
−0.533880 | + | 0.845560i | \(0.679267\pi\) | |||||||
\(164\) | 0.237619 | − | 0.411568i | 0.0185549 | − | 0.0321380i | ||||
\(165\) | −21.1896 | + | 6.69664i | −1.64961 | + | 0.521333i | ||||
\(166\) | 2.41479 | + | 13.6949i | 0.187424 | + | 1.06293i | ||||
\(167\) | −4.40904 | − | 6.29676i | −0.341182 | − | 0.487258i | 0.611493 | − | 0.791250i | \(-0.290569\pi\) |
−0.952675 | + | 0.303992i | \(0.901680\pi\) | |||||||
\(168\) | 7.23838 | − | 1.95656i | 0.558453 | − | 0.150952i | ||||
\(169\) | 6.16205 | + | 7.34365i | 0.474004 | + | 0.564896i | ||||
\(170\) | 8.73727 | − | 11.3507i | 0.670118 | − | 0.870559i | ||||
\(171\) | −10.9513 | − | 7.14622i | −0.837469 | − | 0.546485i | ||||
\(172\) | −4.75333 | − | 4.75333i | −0.362438 | − | 0.362438i | ||||
\(173\) | 16.6027 | + | 1.45255i | 1.26228 | + | 0.110435i | 0.698573 | − | 0.715539i | \(-0.253819\pi\) |
0.563708 | + | 0.825974i | \(0.309374\pi\) | |||||||
\(174\) | 5.22417 | + | 3.00090i | 0.396043 | + | 0.227498i | ||||
\(175\) | 16.5387 | + | 13.9639i | 1.25021 | + | 1.05557i | ||||
\(176\) | −5.65068 | + | 0.996368i | −0.425936 | + | 0.0751041i | ||||
\(177\) | −7.35654 | − | 5.12707i | −0.552951 | − | 0.385374i | ||||
\(178\) | −0.555378 | − | 2.07270i | −0.0416273 | − | 0.155355i | ||||
\(179\) | 8.71080 | + | 15.0875i | 0.651076 | + | 1.12770i | 0.982862 | + | 0.184342i | \(0.0590153\pi\) |
−0.331787 | + | 0.943354i | \(0.607651\pi\) | |||||||
\(180\) | 0.856543 | − | 6.65329i | 0.0638430 | − | 0.495907i | ||||
\(181\) | 3.81682 | + | 3.20269i | 0.283702 | + | 0.238054i | 0.773522 | − | 0.633769i | \(-0.218493\pi\) |
−0.489820 | + | 0.871823i | \(0.662938\pi\) | |||||||
\(182\) | 7.72575 | + | 2.07011i | 0.572671 | + | 0.153447i | ||||
\(183\) | −7.74567 | + | 0.694798i | −0.572576 | + | 0.0513610i | ||||
\(184\) | −0.916627 | − | 2.51841i | −0.0675746 | − | 0.185660i | ||||
\(185\) | −24.8503 | + | 7.79358i | −1.82703 | + | 0.572995i | ||||
\(186\) | 3.12966 | − | 8.65777i | 0.229478 | − | 0.634818i | ||||
\(187\) | −15.5338 | − | 33.3124i | −1.13595 | − | 2.43604i | ||||
\(188\) | 6.16322 | + | 0.539212i | 0.449499 | + | 0.0393261i | ||||
\(189\) | 19.5544 | + | 11.1187i | 1.42238 | + | 0.808764i | ||||
\(190\) | 1.01295 | − | 9.69402i | 0.0734870 | − | 0.703278i | ||||
\(191\) | 23.1875i | 1.67779i | 0.544293 | + | 0.838895i | \(0.316798\pi\) | ||||
−0.544293 | + | 0.838895i | \(0.683202\pi\) | |||||||
\(192\) | 0.444613 | − | 1.67401i | 0.0320872 | − | 0.120811i | ||||
\(193\) | −13.2667 | + | 6.18636i | −0.954958 | + | 0.445304i | −0.836690 | − | 0.547677i | \(-0.815512\pi\) |
−0.118268 | + | 0.992982i | \(0.537734\pi\) | |||||||
\(194\) | 0.623851 | − | 3.53804i | 0.0447899 | − | 0.254016i | ||||
\(195\) | 4.35229 | − | 5.67987i | 0.311674 | − | 0.406744i | ||||
\(196\) | −11.0327 | + | 4.01558i | −0.788051 | + | 0.286827i | ||||
\(197\) | 2.05176 | + | 7.65728i | 0.146182 | + | 0.545559i | 0.999700 | + | 0.0244952i | \(0.00779784\pi\) |
−0.853518 | + | 0.521063i | \(0.825535\pi\) | |||||||
\(198\) | −14.1437 | − | 9.81128i | −1.00515 | − | 0.697257i | ||||
\(199\) | −17.0595 | + | 20.3307i | −1.20932 | + | 1.44121i | −0.344746 | + | 0.938696i | \(0.612035\pi\) |
−0.864571 | + | 0.502512i | \(0.832409\pi\) | |||||||
\(200\) | 4.70366 | − | 1.69574i | 0.332599 | − | 0.119907i | ||||
\(201\) | −6.45568 | + | 2.36574i | −0.455349 | + | 0.166866i | ||||
\(202\) | −1.18755 | + | 0.318202i | −0.0835554 | + | 0.0223886i | ||||
\(203\) | −13.6473 | − | 6.36383i | −0.957852 | − | 0.446654i | ||||
\(204\) | 11.0953 | − | 0.0243615i | 0.776828 | − | 0.00170565i | ||||
\(205\) | 0.716728 | + | 0.784573i | 0.0500584 | + | 0.0547969i | ||||
\(206\) | −0.330829 | + | 0.908945i | −0.0230499 | + | 0.0633292i | ||||
\(207\) | 3.36587 | − | 7.30167i | 0.233944 | − | 0.507501i | ||||
\(208\) | 1.30644 | − | 1.30644i | 0.0905851 | − | 0.0905851i | ||||
\(209\) | −20.8855 | − | 13.7598i | −1.44468 | − | 0.951788i | ||||
\(210\) | −0.720140 | + | 16.7509i | −0.0496944 | + | 1.15592i | ||||
\(211\) | 17.4948 | − | 14.6799i | 1.20439 | − | 1.01060i | 0.204897 | − | 0.978784i | \(-0.434314\pi\) |
0.999494 | − | 0.0318197i | \(-0.0101302\pi\) | |||||||
\(212\) | −1.33571 | + | 0.622851i | −0.0917369 | + | 0.0427776i | ||||
\(213\) | 4.26045 | + | 9.08443i | 0.291921 | + | 0.622455i | ||||
\(214\) | 11.0554 | − | 1.94937i | 0.755733 | − | 0.133256i | ||||
\(215\) | 13.3436 | − | 6.92034i | 0.910024 | − | 0.471963i | ||||
\(216\) | 4.48279 | − | 2.62766i | 0.305015 | − | 0.178790i | ||||
\(217\) | −5.95530 | + | 22.2255i | −0.404272 | + | 1.50876i | ||||
\(218\) | −0.257206 | − | 2.93987i | −0.0174202 | − | 0.199113i | ||||
\(219\) | −7.10279 | − | 8.42712i | −0.479962 | − | 0.569452i | ||||
\(220\) | 1.69410 | − | 12.7179i | 0.114217 | − | 0.857440i | ||||
\(221\) | 10.2498 | + | 5.91771i | 0.689475 | + | 0.398068i | ||||
\(222\) | −16.5505 | − | 11.5347i | −1.11079 | − | 0.774158i | ||||
\(223\) | 7.22811 | + | 5.06118i | 0.484030 | + | 0.338922i | 0.789987 | − | 0.613124i | \(-0.210087\pi\) |
−0.305957 | + | 0.952045i | \(0.598976\pi\) | |||||||
\(224\) | −0.751733 | + | 4.26329i | −0.0502273 | + | 0.284853i | ||||
\(225\) | 13.6031 | + | 6.32109i | 0.906872 | + | 0.421406i | ||||
\(226\) | 4.00462 | − | 3.36028i | 0.266383 | − | 0.223522i | ||||
\(227\) | −1.81032 | + | 1.81032i | −0.120155 | + | 0.120155i | −0.764627 | − | 0.644473i | \(-0.777077\pi\) |
0.644473 | + | 0.764627i | \(0.277077\pi\) | |||||||
\(228\) | 6.42016 | − | 3.97260i | 0.425185 | − | 0.263092i | ||||
\(229\) | 8.96545i | 0.592453i | 0.955118 | + | 0.296227i | \(0.0957284\pi\) | ||||
−0.955118 | + | 0.296227i | \(0.904272\pi\) | |||||||
\(230\) | 5.98743 | − | 0.252257i | 0.394800 | − | 0.0166333i | ||||
\(231\) | 37.3064 | + | 21.4298i | 2.45458 | + | 1.40998i | ||||
\(232\) | −2.84932 | + | 1.99512i | −0.187067 | + | 0.130986i | ||||
\(233\) | 0.163369 | − | 0.233314i | 0.0107026 | − | 0.0152849i | −0.813765 | − | 0.581194i | \(-0.802586\pi\) |
0.824468 | + | 0.565909i | \(0.191475\pi\) | |||||||
\(234\) | 5.54269 | − | 0.0243398i | 0.362337 | − | 0.00159114i | ||||
\(235\) | −5.31356 | + | 12.7729i | −0.346619 | + | 0.833210i | ||||
\(236\) | 4.48345 | − | 2.58852i | 0.291848 | − | 0.168499i | ||||
\(237\) | 15.5343 | + | 1.32472i | 1.00906 | + | 0.0860495i | ||||
\(238\) | −27.6260 | + | 2.41696i | −1.79073 | + | 0.156668i | ||||
\(239\) | −4.87382 | − | 8.44171i | −0.315261 | − | 0.546049i | 0.664232 | − | 0.747527i | \(-0.268759\pi\) |
−0.979493 | + | 0.201478i | \(0.935425\pi\) | |||||||
\(240\) | 3.26783 | + | 2.07877i | 0.210938 | + | 0.134184i | ||||
\(241\) | 16.1551 | − | 5.87996i | 1.04064 | − | 0.378762i | 0.235517 | − | 0.971870i | \(-0.424322\pi\) |
0.805123 | + | 0.593108i | \(0.202099\pi\) | |||||||
\(242\) | −17.9583 | − | 12.5745i | −1.15440 | − | 0.808320i | ||||
\(243\) | 15.1007 | + | 3.86905i | 0.968709 | + | 0.248199i | ||||
\(244\) | 1.53564 | − | 4.21914i | 0.0983094 | − | 0.270103i | ||||
\(245\) | −1.10509 | − | 26.2299i | −0.0706018 | − | 1.67577i | ||||
\(246\) | −0.141156 | + | 0.810942i | −0.00899976 | + | 0.0517038i | ||||
\(247\) | 8.05019 | − | 0.227981i | 0.512221 | − | 0.0145061i | ||||
\(248\) | 3.75836 | + | 3.75836i | 0.238656 | + | 0.238656i | ||||
\(249\) | −12.0889 | − | 20.8328i | −0.766103 | − | 1.32023i | ||||
\(250\) | 0.436504 | + | 11.1718i | 0.0276069 | + | 0.706568i | ||||
\(251\) | 25.2710 | + | 4.45595i | 1.59509 | + | 0.281257i | 0.899413 | − | 0.437099i | \(-0.143994\pi\) |
0.695675 | + | 0.718357i | \(0.255105\pi\) | |||||||
\(252\) | −10.6057 | + | 7.49579i | −0.668094 | + | 0.472190i | ||||
\(253\) | 6.49888 | − | 13.9369i | 0.408581 | − | 0.876205i | ||||
\(254\) | −5.03518 | + | 8.72119i | −0.315935 | + | 0.547216i | ||||
\(255\) | −7.44468 | + | 23.6667i | −0.466204 | + | 1.48206i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −25.3092 | + | 2.21427i | −1.57874 | + | 0.138122i | −0.842538 | − | 0.538636i | \(-0.818940\pi\) |
−0.736205 | + | 0.676758i | \(0.763384\pi\) | |||||||
\(258\) | 10.5631 | + | 4.89747i | 0.657632 | + | 0.304903i | ||||
\(259\) | 43.6660 | + | 25.2106i | 2.71327 | + | 1.56651i | ||||
\(260\) | 1.90203 | + | 3.66743i | 0.117959 | + | 0.227444i | ||||
\(261\) | −10.2845 | − | 1.76690i | −0.636592 | − | 0.109368i | ||||
\(262\) | 6.68039 | − | 4.67766i | 0.412716 | − | 0.288987i | ||||
\(263\) | −3.37202 | − | 7.23132i | −0.207928 | − | 0.445902i | 0.774493 | − | 0.632582i | \(-0.218005\pi\) |
−0.982421 | + | 0.186680i | \(0.940227\pi\) | |||||||
\(264\) | 8.59585 | − | 4.98801i | 0.529038 | − | 0.306991i | ||||
\(265\) | −0.425159 | − | 3.26796i | −0.0261173 | − | 0.200749i | ||||
\(266\) | −15.1448 | + | 11.2566i | −0.928585 | + | 0.690186i | ||||
\(267\) | 2.13847 | + | 3.03982i | 0.130872 | + | 0.186034i | ||||
\(268\) | 0.345971 | − | 3.95447i | 0.0211335 | − | 0.241558i | ||||
\(269\) | −11.6295 | − | 4.23281i | −0.709065 | − | 0.258079i | −0.0377889 | − | 0.999286i | \(-0.512031\pi\) |
−0.671276 | + | 0.741207i | \(0.734254\pi\) | |||||||
\(270\) | 2.57217 | + | 11.3307i | 0.156537 | + | 0.689562i | ||||
\(271\) | 2.46480 | + | 13.9786i | 0.149726 | + | 0.849138i | 0.963450 | + | 0.267887i | \(0.0863253\pi\) |
−0.813725 | + | 0.581251i | \(0.802564\pi\) | |||||||
\(272\) | −2.70725 | + | 5.80572i | −0.164151 | + | 0.352024i | ||||
\(273\) | −13.7980 | + | 1.23771i | −0.835095 | + | 0.0749093i | ||||
\(274\) | 8.34480 | − | 4.81787i | 0.504128 | − | 0.291058i | ||||
\(275\) | 25.9642 | + | 12.2040i | 1.56570 | + | 0.735927i | ||||
\(276\) | 2.99159 | + | 3.54939i | 0.180073 | + | 0.213648i | ||||
\(277\) | −1.91348 | + | 7.14119i | −0.114970 | + | 0.429072i | −0.999285 | − | 0.0378183i | \(-0.987959\pi\) |
0.884315 | + | 0.466891i | \(0.154626\pi\) | |||||||
\(278\) | −11.2242 | + | 3.00752i | −0.673183 | + | 0.180379i | ||||
\(279\) | 0.0700207 | + | 15.9452i | 0.00419203 | + | 0.954615i | ||||
\(280\) | −8.57949 | − | 4.48287i | −0.512723 | − | 0.267903i | ||||
\(281\) | −5.84390 | − | 1.03044i | −0.348618 | − | 0.0614707i | −0.00340247 | − | 0.999994i | \(-0.501083\pi\) |
−0.345215 | + | 0.938523i | \(0.612194\pi\) | |||||||
\(282\) | −10.3445 | + | 2.79617i | −0.616009 | + | 0.166510i | ||||
\(283\) | 0.0504147 | − | 0.576242i | 0.00299684 | − | 0.0342541i | −0.994549 | − | 0.104270i | \(-0.966749\pi\) |
0.997546 | + | 0.0700158i | \(0.0223050\pi\) | |||||||
\(284\) | −5.79305 | −0.343754 | ||||||||
\(285\) | 4.12998 | + | 16.3690i | 0.244639 | + | 0.969614i | ||||
\(286\) | 10.6011 | 0.626859 | ||||||||
\(287\) | 0.179308 | − | 2.04950i | 0.0105842 | − | 0.120978i | ||||
\(288\) | 0.274588 | + | 2.98741i | 0.0161803 | + | 0.176035i | ||||
\(289\) | −23.6705 | − | 4.17374i | −1.39238 | − | 0.245514i | ||||
\(290\) | −2.32753 | − | 7.42147i | −0.136677 | − | 0.435804i | ||||
\(291\) | 1.09399 | + | 6.12567i | 0.0641311 | + | 0.359093i | ||||
\(292\) | 6.14625 | − | 1.64688i | 0.359682 | − | 0.0963766i | ||||
\(293\) | −8.50988 | + | 31.7593i | −0.497152 | + | 1.85540i | 0.0204719 | + | 0.999790i | \(0.493483\pi\) |
−0.517624 | + | 0.855608i | \(0.673184\pi\) | |||||||
\(294\) | 15.5492 | − | 13.1056i | 0.906850 | − | 0.764337i | ||||
\(295\) | 2.48829 | + | 11.3056i | 0.144874 | + | 0.658240i | ||||
\(296\) | 10.0867 | − | 5.82357i | 0.586278 | − | 0.338488i | ||||
\(297\) | 28.8491 | + | 7.52677i | 1.67399 | + | 0.436747i | ||||
\(298\) | −0.792043 | + | 1.69854i | −0.0458818 | + | 0.0983939i | ||||
\(299\) | 0.859833 | + | 4.87636i | 0.0497254 | + | 0.282007i | ||||
\(300\) | −6.63892 | + | 5.56101i | −0.383298 | + | 0.321065i | ||||
\(301\) | −27.3459 | − | 9.95311i | −1.57619 | − | 0.573688i | ||||
\(302\) | 0.801974 | − | 9.16661i | 0.0461484 | − | 0.527479i | ||||
\(303\) | 1.74166 | − | 1.22523i | 0.100056 | − | 0.0703876i | ||||
\(304\) | 0.502676 | + | 4.32982i | 0.0288304 | + | 0.248332i | ||||
\(305\) | 7.95574 | + | 6.12398i | 0.455544 | + | 0.350658i | ||||
\(306\) | −18.0297 | + | 6.65208i | −1.03069 | + | 0.380274i | ||||
\(307\) | 5.86172 | + | 12.5705i | 0.334546 | + | 0.717436i | 0.999568 | − | 0.0293875i | \(-0.00935569\pi\) |
−0.665022 | + | 0.746824i | \(0.731578\pi\) | |||||||
\(308\) | −20.3473 | + | 14.2474i | −1.15940 | + | 0.811819i | ||||
\(309\) | −0.00367854 | − | 1.67537i | −0.000209265 | − | 0.0953086i | ||||
\(310\) | −10.5505 | + | 5.47177i | −0.599227 | + | 0.310776i | ||||
\(311\) | −2.41507 | − | 1.39434i | −0.136946 | − | 0.0790658i | 0.429962 | − | 0.902847i | \(-0.358527\pi\) |
−0.566908 | + | 0.823781i | \(0.691860\pi\) | |||||||
\(312\) | −1.34605 | + | 2.90324i | −0.0762051 | + | 0.164364i | ||||
\(313\) | 17.7402 | − | 1.55206i | 1.00273 | − | 0.0877278i | 0.426053 | − | 0.904698i | \(-0.359904\pi\) |
0.576680 | + | 0.816970i | \(0.304348\pi\) | |||||||
\(314\) | 6.53736 | + | 5.48550i | 0.368925 | + | 0.309565i | ||||
\(315\) | −8.81186 | − | 27.6710i | −0.496492 | − | 1.55909i | ||||
\(316\) | −4.50065 | + | 7.79535i | −0.253181 | + | 0.438523i | ||||
\(317\) | 2.71601 | − | 5.82449i | 0.152546 | − | 0.327136i | −0.815152 | − | 0.579247i | \(-0.803347\pi\) |
0.967698 | + | 0.252110i | \(0.0811246\pi\) | |||||||
\(318\) | 1.80105 | − | 1.80898i | 0.100998 | − | 0.101442i | ||||
\(319\) | −19.6552 | − | 3.46575i | −1.10048 | − | 0.194045i | ||||
\(320\) | −1.88771 | + | 1.19856i | −0.105526 | + | 0.0670014i | ||||
\(321\) | −16.8176 | + | 9.75893i | −0.938665 | + | 0.544690i | ||||
\(322\) | −8.20388 | − | 8.20388i | −0.457185 | − | 0.457185i | ||||
\(323\) | −25.9579 | + | 10.2891i | −1.44434 | + | 0.572500i | ||||
\(324\) | −5.72432 | + | 6.94494i | −0.318018 | + | 0.385830i | ||||
\(325\) | −9.10241 | + | 1.57635i | −0.504911 | + | 0.0874403i | ||||
\(326\) | −2.59239 | + | 7.12253i | −0.143579 | + | 0.394480i | ||||
\(327\) | 2.17036 | + | 4.62780i | 0.120021 | + | 0.255918i | ||||
\(328\) | −0.389292 | − | 0.272585i | −0.0214950 | − | 0.0150510i | ||||
\(329\) | 25.1677 | − | 9.16028i | 1.38754 | − | 0.505023i | ||||
\(330\) | 4.82436 | + | 21.6926i | 0.265572 | + | 1.19414i | ||||
\(331\) | −8.53744 | − | 14.7873i | −0.469260 | − | 0.812782i | 0.530122 | − | 0.847921i | \(-0.322146\pi\) |
−0.999382 | + | 0.0351388i | \(0.988813\pi\) | |||||||
\(332\) | 13.8533 | − | 1.21201i | 0.760298 | − | 0.0665175i | ||||
\(333\) | 33.7902 | + | 8.89520i | 1.85169 | + | 0.487454i | ||||
\(334\) | −6.65708 | + | 3.84346i | −0.364259 | + | 0.210305i | ||||
\(335\) | 8.19538 | + | 3.40931i | 0.447761 | + | 0.186270i | ||||
\(336\) | −1.31825 | − | 7.38136i | −0.0719165 | − | 0.402686i | ||||
\(337\) | −14.9162 | + | 21.3025i | −0.812534 | + | 1.16042i | 0.171977 | + | 0.985101i | \(0.444984\pi\) |
−0.984512 | + | 0.175319i | \(0.943904\pi\) | |||||||
\(338\) | 7.85276 | − | 5.49856i | 0.427134 | − | 0.299082i | ||||
\(339\) | −4.51006 | + | 7.85142i | −0.244953 | + | 0.426430i | ||||
\(340\) | −10.5460 | − | 9.69330i | −0.571937 | − | 0.525693i | ||||
\(341\) | 30.4974i | 1.65153i | ||||||||
\(342\) | −8.07350 | + | 10.2868i | −0.436565 | + | 0.556247i | ||||
\(343\) | −14.5120 | + | 14.5120i | −0.783574 | + | 0.783574i | ||||
\(344\) | −5.14953 | + | 4.32097i | −0.277644 | + | 0.232971i | ||||
\(345\) | −9.58697 | + | 3.97856i | −0.516145 | + | 0.214199i | ||||
\(346\) | 2.89404 | − | 16.4129i | 0.155585 | − | 0.882365i | ||||
\(347\) | −23.0166 | − | 16.1164i | −1.23560 | − | 0.865173i | −0.241156 | − | 0.970486i | \(-0.577527\pi\) |
−0.994439 | + | 0.105313i | \(0.966416\pi\) | |||||||
\(348\) | 3.44480 | − | 4.94275i | 0.184661 | − | 0.264959i | ||||
\(349\) | −21.1823 | − | 12.2296i | −1.13386 | − | 0.654636i | −0.188959 | − | 0.981985i | \(-0.560511\pi\) |
−0.944904 | + | 0.327349i | \(0.893845\pi\) | |||||||
\(350\) | 15.3522 | − | 15.2587i | 0.820610 | − | 0.815613i | ||||
\(351\) | −8.99951 | + | 3.34285i | −0.480359 | + | 0.178428i | ||||
\(352\) | 0.500087 | + | 5.71602i | 0.0266547 | + | 0.304665i | ||||
\(353\) | −0.661178 | + | 2.46755i | −0.0351910 | + | 0.131334i | −0.981287 | − | 0.192553i | \(-0.938323\pi\) |
0.946096 | + | 0.323887i | \(0.104990\pi\) | |||||||
\(354\) | −5.74872 | + | 6.88169i | −0.305541 | + | 0.365758i | ||||
\(355\) | 3.91410 | − | 12.3482i | 0.207739 | − | 0.655372i | ||||
\(356\) | −2.11322 | + | 0.372617i | −0.112000 | + | 0.0197487i | ||||
\(357\) | 43.4875 | − | 20.3949i | 2.30160 | − | 1.07941i | ||||
\(358\) | 15.7893 | − | 7.36269i | 0.834492 | − | 0.389130i | ||||
\(359\) | 4.87609 | − | 4.09153i | 0.257350 | − | 0.215943i | −0.504979 | − | 0.863131i | \(-0.668500\pi\) |
0.762330 | + | 0.647189i | \(0.224055\pi\) | |||||||
\(360\) | −6.55332 | − | 1.43316i | −0.345391 | − | 0.0755340i | ||||
\(361\) | −11.3697 | + | 15.2227i | −0.598403 | + | 0.801195i | ||||
\(362\) | 3.52316 | − | 3.52316i | 0.185173 | − | 0.185173i | ||||
\(363\) | 36.6993 | + | 9.74725i | 1.92622 | + | 0.511598i | ||||
\(364\) | 2.73557 | − | 7.51593i | 0.143383 | − | 0.393942i | ||||
\(365\) | −0.642334 | + | 14.2138i | −0.0336213 | + | 0.743982i | ||||
\(366\) | 0.0170750 | + | 7.77675i | 0.000892527 | + | 0.406497i | ||||
\(367\) | 9.20821 | + | 4.29386i | 0.480665 | + | 0.224138i | 0.647821 | − | 0.761793i | \(-0.275681\pi\) |
−0.167156 | + | 0.985930i | \(0.553458\pi\) | |||||||
\(368\) | −2.58872 | + | 0.693645i | −0.134946 | + | 0.0361587i | ||||
\(369\) | −0.253736 | − | 1.40295i | −0.0132089 | − | 0.0730348i | ||||
\(370\) | 5.59807 | + | 25.4350i | 0.291030 | + | 1.32230i | ||||
\(371\) | −4.10107 | + | 4.88747i | −0.212917 | + | 0.253745i | ||||
\(372\) | −8.35205 | − | 3.87232i | −0.433034 | − | 0.200771i | ||||
\(373\) | −4.89053 | − | 18.2517i | −0.253222 | − | 0.945037i | −0.969071 | − | 0.246782i | \(-0.920627\pi\) |
0.715849 | − | 0.698255i | \(-0.246040\pi\) | |||||||
\(374\) | −34.5395 | + | 12.5713i | −1.78599 | + | 0.650049i | ||||
\(375\) | −7.36793 | − | 17.9085i | −0.380478 | − | 0.924790i | ||||
\(376\) | 1.07432 | − | 6.09277i | 0.0554038 | − | 0.314211i | ||||
\(377\) | 5.82446 | − | 2.71599i | 0.299975 | − | 0.139881i | ||||
\(378\) | 12.7806 | − | 18.5110i | 0.657365 | − | 0.952101i | ||||
\(379\) | − | 24.2699i | − | 1.24666i | −0.781959 | − | 0.623330i | \(-0.785779\pi\) | ||
0.781959 | − | 0.623330i | \(-0.214221\pi\) | |||||||
\(380\) | −9.56884 | − | 1.85398i | −0.490871 | − | 0.0951073i | ||||
\(381\) | 2.99111 | − | 17.1840i | 0.153239 | − | 0.880363i | ||||
\(382\) | 23.0993 | + | 2.02093i | 1.18186 | + | 0.103400i | ||||
\(383\) | −13.9623 | − | 29.9423i | −0.713441 | − | 1.52998i | −0.842709 | − | 0.538370i | \(-0.819040\pi\) |
0.129267 | − | 0.991610i | \(-0.458737\pi\) | |||||||
\(384\) | −1.62889 | − | 0.588821i | −0.0831241 | − | 0.0300482i | ||||
\(385\) | −16.6211 | − | 52.9976i | −0.847092 | − | 2.70101i | ||||
\(386\) | 5.00655 | + | 13.7554i | 0.254827 | + | 0.700131i | ||||
\(387\) | −20.0975 | − | 1.66941i | −1.02161 | − | 0.0848606i | ||||
\(388\) | −3.47020 | − | 0.929837i | −0.176173 | − | 0.0472053i | ||||
\(389\) | 0.169649 | + | 0.142352i | 0.00860154 | + | 0.00721755i | 0.647078 | − | 0.762424i | \(-0.275991\pi\) |
−0.638477 | + | 0.769641i | \(0.720435\pi\) | |||||||
\(390\) | −5.27893 | − | 4.83076i | −0.267309 | − | 0.244615i | ||||
\(391\) | −8.58403 | − | 14.8680i | −0.434113 | − | 0.751906i | ||||
\(392\) | 3.03873 | + | 11.3407i | 0.153479 | + | 0.572792i | ||||
\(393\) | −8.07652 | + | 11.5885i | −0.407407 | + | 0.584564i | ||||
\(394\) | 7.80696 | − | 1.37658i | 0.393309 | − | 0.0693510i | ||||
\(395\) | −13.5753 | − | 14.8603i | −0.683046 | − | 0.747703i | ||||
\(396\) | −11.0067 | + | 13.2348i | −0.553105 | + | 0.665075i | ||||
\(397\) | −6.46048 | − | 0.565219i | −0.324242 | − | 0.0283675i | −0.0761272 | − | 0.997098i | \(-0.524256\pi\) |
−0.248115 | + | 0.968731i | \(0.579811\pi\) | |||||||
\(398\) | 18.7665 | + | 18.7665i | 0.940681 | + | 0.940681i | ||||
\(399\) | 17.9212 | − | 27.3323i | 0.897183 | − | 1.36833i | ||||
\(400\) | −1.27934 | − | 4.83356i | −0.0639669 | − | 0.241678i | ||||
\(401\) | −15.0680 | − | 17.9573i | −0.752460 | − | 0.896747i | 0.244886 | − | 0.969552i | \(-0.421249\pi\) |
−0.997346 | + | 0.0728050i | \(0.976805\pi\) | |||||||
\(402\) | 1.79409 | + | 6.63730i | 0.0894810 | + | 0.331039i | ||||
\(403\) | −5.63259 | − | 8.04417i | −0.280579 | − | 0.400709i | ||||
\(404\) | 0.213490 | + | 1.21076i | 0.0106215 | + | 0.0602376i | ||||
\(405\) | −10.9358 | − | 16.8940i | −0.543405 | − | 0.839471i | ||||
\(406\) | −7.52906 | + | 13.0407i | −0.373661 | + | 0.647200i | ||||
\(407\) | 64.5524 | + | 17.2968i | 3.19974 | + | 0.857369i | ||||
\(408\) | 0.942753 | − | 11.0552i | 0.0466732 | − | 0.547315i | ||||
\(409\) | 12.4766 | − | 14.8691i | 0.616929 | − | 0.735228i | −0.363610 | − | 0.931551i | \(-0.618456\pi\) |
0.980539 | + | 0.196324i | \(0.0629003\pi\) | |||||||
\(410\) | 0.844054 | − | 0.645620i | 0.0416849 | − | 0.0318849i | ||||
\(411\) | −10.6998 | + | 12.8085i | −0.527781 | + | 0.631796i | ||||
\(412\) | 0.876653 | + | 0.408790i | 0.0431896 | + | 0.0201396i | ||||
\(413\) | 12.8549 | − | 18.3586i | 0.632546 | − | 0.903369i | ||||
\(414\) | −6.98053 | − | 3.98944i | −0.343074 | − | 0.196070i | ||||
\(415\) | −6.77659 | + | 30.3478i | −0.332650 | + | 1.48972i | ||||
\(416\) | −1.18760 | − | 1.41533i | −0.0582270 | − | 0.0693922i | ||||
\(417\) | 16.4614 | − | 11.5804i | 0.806120 | − | 0.567093i | ||||
\(418\) | −15.5278 | + | 19.6068i | −0.759488 | + | 0.958998i | ||||
\(419\) | −24.2383 | −1.18412 | −0.592060 | − | 0.805894i | \(-0.701685\pi\) | ||||
−0.592060 | + | 0.805894i | \(0.701685\pi\) | |||||||
\(420\) | 16.6244 | + | 2.17734i | 0.811188 | + | 0.106243i | ||||
\(421\) | −11.6024 | − | 4.22294i | −0.565469 | − | 0.205814i | 0.0434374 | − | 0.999056i | \(-0.486169\pi\) |
−0.608906 | + | 0.793242i | \(0.708391\pi\) | |||||||
\(422\) | −13.0992 | − | 18.7076i | −0.637661 | − | 0.910674i | ||||
\(423\) | 15.1568 | − | 10.7124i | 0.736949 | − | 0.520855i | ||||
\(424\) | 0.504067 | + | 1.38491i | 0.0244796 | + | 0.0672572i | ||||
\(425\) | 27.7872 | − | 15.9300i | 1.34788 | − | 0.772717i | ||||
\(426\) | 9.42118 | − | 3.45248i | 0.456458 | − | 0.167273i | ||||
\(427\) | −1.69406 | − | 19.3632i | −0.0819812 | − | 0.937049i | ||||
\(428\) | −0.978408 | − | 11.1833i | −0.0472931 | − | 0.540563i | ||||
\(429\) | −17.2405 | + | 6.31795i | −0.832381 | + | 0.305033i | ||||
\(430\) | −5.73104 | − | 13.8959i | −0.276375 | − | 0.670122i | ||||
\(431\) | 9.04007 | + | 24.8374i | 0.435445 | + | 1.19637i | 0.942425 | + | 0.334417i | \(0.108539\pi\) |
−0.506980 | + | 0.861958i | \(0.669238\pi\) | |||||||
\(432\) | −2.22696 | − | 4.69475i | −0.107145 | − | 0.225876i | ||||
\(433\) | −1.81266 | − | 2.58875i | −0.0871111 | − | 0.124408i | 0.773231 | − | 0.634124i | \(-0.218639\pi\) |
−0.860342 | + | 0.509717i | \(0.829750\pi\) | |||||||
\(434\) | 21.6219 | + | 7.86971i | 1.03788 | + | 0.377758i | ||||
\(435\) | 8.20820 | + | 10.6823i | 0.393553 | + | 0.512179i | ||||
\(436\) | −2.95110 | −0.141332 | ||||||||
\(437\) | −10.2782 | − | 5.55227i | −0.491674 | − | 0.265601i | ||||
\(438\) | −9.01411 | + | 6.34129i | −0.430711 | + | 0.302998i | ||||
\(439\) | 9.46190 | + | 11.2763i | 0.451592 | + | 0.538186i | 0.943022 | − | 0.332731i | \(-0.107970\pi\) |
−0.491430 | + | 0.870917i | \(0.663526\pi\) | |||||||
\(440\) | −12.5219 | − | 2.79610i | −0.596956 | − | 0.133299i | ||||
\(441\) | −17.4770 | + | 30.5804i | −0.832239 | + | 1.45621i | ||||
\(442\) | 6.78852 | − | 9.69501i | 0.322897 | − | 0.461145i | ||||
\(443\) | −1.23798 | − | 0.577282i | −0.0588184 | − | 0.0274275i | 0.392986 | − | 0.919544i | \(-0.371442\pi\) |
−0.451805 | + | 0.892117i | \(0.649220\pi\) | |||||||
\(444\) | −12.9333 | + | 15.4822i | −0.613786 | + | 0.734752i | ||||
\(445\) | 0.633553 | − | 4.75618i | 0.0300333 | − | 0.225464i | ||||
\(446\) | 5.67189 | − | 6.75950i | 0.268572 | − | 0.320071i | ||||
\(447\) | 0.275815 | − | 3.23436i | 0.0130456 | − | 0.152980i | ||||
\(448\) | 4.18155 | + | 1.12044i | 0.197560 | + | 0.0529360i | ||||
\(449\) | −14.8814 | + | 25.7753i | −0.702295 | + | 1.21641i | 0.265364 | + | 0.964148i | \(0.414508\pi\) |
−0.967659 | + | 0.252262i | \(0.918826\pi\) | |||||||
\(450\) | 7.48262 | − | 13.0004i | 0.352734 | − | 0.612845i | ||||
\(451\) | −0.473511 | − | 2.68542i | −0.0222968 | − | 0.126451i | ||||
\(452\) | −2.99846 | − | 4.28225i | −0.141036 | − | 0.201420i | ||||
\(453\) | 4.15877 | + | 15.3855i | 0.195396 | + | 0.722875i | ||||
\(454\) | 1.64565 | + | 1.96121i | 0.0772341 | + | 0.0920440i | ||||
\(455\) | 14.1723 | + | 10.9092i | 0.664405 | + | 0.511430i | ||||
\(456\) | −3.39793 | − | 6.74196i | −0.159123 | − | 0.315721i | ||||
\(457\) | 23.6439 | + | 23.6439i | 1.10602 | + | 1.10602i | 0.993669 | + | 0.112348i | \(0.0358371\pi\) |
0.112348 | + | 0.993669i | \(0.464163\pi\) | |||||||
\(458\) | 8.93133 | + | 0.781390i | 0.417334 | + | 0.0365120i | ||||
\(459\) | 25.3571 | − | 21.5634i | 1.18357 | − | 1.00649i | ||||
\(460\) | 0.270542 | − | 5.98663i | 0.0126141 | − | 0.279128i | ||||
\(461\) | −6.32858 | + | 1.11590i | −0.294751 | + | 0.0519726i | −0.319068 | − | 0.947732i | \(-0.603370\pi\) |
0.0243172 | + | 0.999704i | \(0.492259\pi\) | |||||||
\(462\) | 24.5997 | − | 35.2967i | 1.14448 | − | 1.64215i | ||||
\(463\) | 3.36396 | + | 12.5545i | 0.156336 | + | 0.583455i | 0.998987 | + | 0.0449949i | \(0.0143272\pi\) |
−0.842651 | + | 0.538460i | \(0.819006\pi\) | |||||||
\(464\) | 1.73919 | + | 3.01237i | 0.0807399 | + | 0.139846i | ||||
\(465\) | 13.8971 | − | 15.1864i | 0.644464 | − | 0.704254i | ||||
\(466\) | −0.218188 | − | 0.183082i | −0.0101074 | − | 0.00848109i | ||||
\(467\) | −16.6234 | − | 4.45423i | −0.769240 | − | 0.206117i | −0.147205 | − | 0.989106i | \(-0.547028\pi\) |
−0.622036 | + | 0.782989i | \(0.713694\pi\) | |||||||
\(468\) | 0.458830 | − | 5.52372i | 0.0212094 | − | 0.255334i | ||||
\(469\) | −5.87745 | − | 16.1482i | −0.271396 | − | 0.745653i | ||||
\(470\) | 12.2612 | + | 6.40657i | 0.565565 | + | 0.295513i | ||||
\(471\) | −13.9008 | − | 5.02495i | −0.640517 | − | 0.231538i | ||||
\(472\) | −2.18791 | − | 4.69200i | −0.100707 | − | 0.215967i | ||||
\(473\) | −38.4244 | − | 3.36170i | −1.76676 | − | 0.154571i | ||||
\(474\) | 2.67358 | − | 15.3598i | 0.122802 | − | 0.705497i | ||||
\(475\) | 10.4171 | − | 19.1438i | 0.477969 | − | 0.878377i | ||||
\(476\) | 27.7316i | 1.27107i | ||||||||
\(477\) | −1.85094 | + | 4.01529i | −0.0847487 | + | 0.183848i | ||||
\(478\) | −8.83436 | + | 4.11953i | −0.404074 | + | 0.188423i | ||||
\(479\) | −4.12640 | + | 23.4020i | −0.188540 | + | 1.06926i | 0.732782 | + | 0.680463i | \(0.238221\pi\) |
−0.921322 | + | 0.388800i | \(0.872890\pi\) | |||||||
\(480\) | 2.35567 | − | 3.07422i | 0.107521 | − | 0.140318i | ||||
\(481\) | −20.2213 | + | 7.35994i | −0.922010 | + | 0.335584i | ||||
\(482\) | −4.44958 | − | 16.6061i | −0.202673 | − | 0.756386i | ||||
\(483\) | 18.2312 | + | 8.45264i | 0.829546 | + | 0.384609i | ||||
\(484\) | −14.0918 | + | 16.7940i | −0.640537 | + | 0.763363i | ||||
\(485\) | 4.32665 | − | 6.76864i | 0.196463 | − | 0.307348i | ||||
\(486\) | 5.17043 | − | 14.7060i | 0.234536 | − | 0.667078i | ||||
\(487\) | −27.3664 | + | 7.33281i | −1.24009 | + | 0.332281i | −0.818501 | − | 0.574505i | \(-0.805195\pi\) |
−0.421590 | + | 0.906787i | \(0.638528\pi\) | |||||||
\(488\) | −4.06925 | − | 1.89752i | −0.184206 | − | 0.0858968i | ||||
\(489\) | −0.0288252 | − | 13.1283i | −0.00130352 | − | 0.593681i | ||||
\(490\) | −26.2264 | − | 1.18520i | −1.18479 | − | 0.0535417i | ||||
\(491\) | 5.89227 | − | 16.1889i | 0.265914 | − | 0.730594i | −0.732826 | − | 0.680416i | \(-0.761799\pi\) |
0.998740 | − | 0.0501778i | \(-0.0159788\pi\) | |||||||
\(492\) | 0.795554 | + | 0.211297i | 0.0358663 | + | 0.00952600i | ||||
\(493\) | −15.7559 | + | 15.7559i | −0.709609 | + | 0.709609i | ||||
\(494\) | 0.474507 | − | 8.03942i | 0.0213491 | − | 0.361711i | ||||
\(495\) | −20.7739 | − | 32.4034i | −0.933719 | − | 1.45642i | ||||
\(496\) | 4.07162 | − | 3.41650i | 0.182821 | − | 0.153405i | ||||
\(497\) | −22.7288 | + | 10.5986i | −1.01953 | + | 0.475413i | ||||
\(498\) | −21.8072 | + | 10.2272i | −0.977203 | + | 0.458292i | ||||
\(499\) | −34.6806 | + | 6.11512i | −1.55252 | + | 0.273750i | −0.883117 | − | 0.469153i | \(-0.844559\pi\) |
−0.669399 | + | 0.742903i | \(0.733448\pi\) | |||||||
\(500\) | 11.1673 | + | 0.538845i | 0.499419 | + | 0.0240979i | ||||
\(501\) | 8.53576 | − | 10.2180i | 0.381350 | − | 0.456506i | ||||
\(502\) | 6.64150 | − | 24.7864i | 0.296425 | − | 1.10627i | ||||
\(503\) | −1.73143 | − | 19.7903i | −0.0772006 | − | 0.882407i | −0.931765 | − | 0.363062i | \(-0.881731\pi\) |
0.854565 | − | 0.519345i | \(-0.173824\pi\) | |||||||
\(504\) | 6.54292 | + | 11.2186i | 0.291445 | + | 0.499716i | ||||
\(505\) | −2.72504 | − | 0.362992i | −0.121263 | − | 0.0161529i | ||||
\(506\) | −13.3174 | − | 7.68883i | −0.592033 | − | 0.341810i | ||||
\(507\) | −9.49390 | + | 13.6223i | −0.421639 | + | 0.604986i | ||||
\(508\) | 8.24916 | + | 5.77612i | 0.365997 | + | 0.256274i | ||||
\(509\) | −4.71854 | + | 26.7602i | −0.209146 | + | 1.18612i | 0.681635 | + | 0.731692i | \(0.261269\pi\) |
−0.890781 | + | 0.454432i | \(0.849842\pi\) | |||||||
\(510\) | 22.9278 | + | 9.47903i | 1.01526 | + | 0.419739i | ||||
\(511\) | 21.1016 | − | 17.7063i | 0.933478 | − | 0.783281i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 6.99924 | − | 21.5409i | 0.309024 | − | 0.951054i | ||||
\(514\) | 25.4059i | 1.12060i | ||||||||
\(515\) | −1.46367 | + | 1.59243i | −0.0644970 | + | 0.0701706i | ||||
\(516\) | 5.79947 | − | 10.0961i | 0.255307 | − | 0.444456i | ||||
\(517\) | 29.0789 | − | 20.3612i | 1.27889 | − | 0.895487i | ||||
\(518\) | 28.9204 | − | 41.3026i | 1.27069 | − | 1.81473i | ||||
\(519\) | 5.07504 | + | 28.4170i | 0.222769 | + | 1.24737i | ||||
\(520\) | 3.81925 | − | 1.57516i | 0.167485 | − | 0.0690751i | ||||
\(521\) | 14.6258 | − | 8.44419i | 0.640766 | − | 0.369947i | −0.144143 | − | 0.989557i | \(-0.546043\pi\) |
0.784910 | + | 0.619610i | \(0.212709\pi\) | |||||||
\(522\) | −2.65652 | + | 10.0913i | −0.116273 | + | 0.441686i | ||||
\(523\) | 41.2464 | − | 3.60859i | 1.80358 | − | 0.157793i | 0.864755 | − | 0.502195i | \(-0.167474\pi\) |
0.938822 | + | 0.344402i | \(0.111918\pi\) | |||||||
\(524\) | −4.07763 | − | 7.06266i | −0.178132 | − | 0.308534i | ||||
\(525\) | −15.8734 | + | 33.9646i | −0.692774 | + | 1.48233i | ||||
\(526\) | −7.49769 | + | 2.72894i | −0.326915 | + | 0.118987i | ||||
\(527\) | 27.8906 | + | 19.5292i | 1.21494 | + | 0.850707i | ||||
\(528\) | −4.21985 | − | 8.99788i | −0.183646 | − | 0.391582i | ||||
\(529\) | −5.40987 | + | 14.8635i | −0.235212 | + | 0.646239i | ||||
\(530\) | −3.29258 | + | 0.138720i | −0.143020 | + | 0.00602560i | ||||
\(531\) | 5.24782 | − | 14.6177i | 0.227736 | − | 0.634354i | ||||
\(532\) | 9.89380 | + | 16.0682i | 0.428951 | + | 0.696645i | ||||
\(533\) | 0.620867 | + | 0.620867i | 0.0268928 | + | 0.0268928i | ||||
\(534\) | 3.21463 | − | 1.86539i | 0.139111 | − | 0.0807235i | ||||
\(535\) | 24.4987 | + | 5.47049i | 1.05917 | + | 0.236510i | ||||
\(536\) | −3.90927 | − | 0.689309i | −0.168855 | − | 0.0297736i | ||||
\(537\) | −21.2901 | + | 21.3838i | −0.918736 | + | 0.922779i | ||||
\(538\) | −5.23028 | + | 11.2164i | −0.225493 | + | 0.483572i | ||||
\(539\) | −33.6834 | + | 58.3414i | −1.45085 | + | 2.51294i | ||||
\(540\) | 11.5117 | − | 1.57485i | 0.495386 | − | 0.0677705i | ||||
\(541\) | 3.26242 | + | 2.73750i | 0.140262 | + | 0.117694i | 0.710219 | − | 0.703980i | \(-0.248596\pi\) |
−0.569957 | + | 0.821674i | \(0.693040\pi\) | |||||||
\(542\) | 14.1402 | − | 1.23711i | 0.607373 | − | 0.0531383i | ||||
\(543\) | −3.62999 | + | 7.82938i | −0.155778 | + | 0.335991i | ||||
\(544\) | 5.54768 | + | 3.20295i | 0.237855 | + | 0.137325i | ||||
\(545\) | 1.99393 | − | 6.29042i | 0.0854104 | − | 0.269452i | ||||
\(546\) | 0.0304173 | + | 13.8534i | 0.00130174 | + | 0.592871i | ||||
\(547\) | −2.79178 | + | 1.95483i | −0.119368 | + | 0.0835824i | −0.631736 | − | 0.775184i | \(-0.717657\pi\) |
0.512368 | + | 0.858766i | \(0.328768\pi\) | |||||||
\(548\) | −4.07224 | − | 8.73295i | −0.173957 | − | 0.373053i | ||||
\(549\) | −4.66247 | − | 12.6371i | −0.198989 | − | 0.539337i | ||||
\(550\) | 14.4205 | − | 24.8017i | 0.614890 | − | 1.05755i | ||||
\(551\) | −3.50803 | + | 14.7505i | −0.149447 | + | 0.628392i | ||||
\(552\) | 3.79662 | − | 2.67086i | 0.161595 | − | 0.113679i | ||||
\(553\) | −3.39621 | + | 38.8189i | −0.144422 | + | 1.65075i | ||||
\(554\) | 6.94724 | + | 2.52859i | 0.295160 | + | 0.107429i | ||||
\(555\) | −24.2626 | − | 38.0285i | −1.02989 | − | 1.61422i | ||||
\(556\) | 2.01782 | + | 11.4436i | 0.0855746 | + | 0.485318i | ||||
\(557\) | 3.61931 | − | 7.76164i | 0.153355 | − | 0.328871i | −0.814588 | − | 0.580040i | \(-0.803037\pi\) |
0.967943 | + | 0.251169i | \(0.0808148\pi\) | |||||||
\(558\) | 15.8906 | + | 1.31996i | 0.672705 | + | 0.0558785i | ||||
\(559\) | 10.7559 | − | 6.20993i | 0.454927 | − | 0.262652i | ||||
\(560\) | −5.21356 | + | 8.15614i | −0.220313 | + | 0.344660i | ||||
\(561\) | 48.6791 | − | 41.0291i | 2.05523 | − | 1.73225i | ||||
\(562\) | −1.53585 | + | 5.73185i | −0.0647857 | + | 0.241784i | ||||
\(563\) | 21.6294 | − | 5.79558i | 0.911570 | − | 0.244254i | 0.227592 | − | 0.973757i | \(-0.426915\pi\) |
0.683978 | + | 0.729502i | \(0.260248\pi\) | |||||||
\(564\) | 1.88394 | + | 10.5489i | 0.0793283 | + | 0.444188i | ||||
\(565\) | 11.1537 | − | 3.49804i | 0.469241 | − | 0.147164i | ||||
\(566\) | −0.569656 | − | 0.100446i | −0.0239444 | − | 0.00422205i | ||||
\(567\) | −9.75308 | + | 37.7211i | −0.409591 | + | 1.58414i | ||||
\(568\) | −0.504898 | + | 5.77101i | −0.0211850 | + | 0.242146i | ||||
\(569\) | 35.1204 | 1.47232 | 0.736162 | − | 0.676805i | \(-0.236636\pi\) | ||||
0.736162 | + | 0.676805i | \(0.236636\pi\) | |||||||
\(570\) | 16.6666 | − | 2.68761i | 0.698089 | − | 0.112572i | ||||
\(571\) | −24.8920 | −1.04170 | −0.520849 | − | 0.853649i | \(-0.674385\pi\) | ||||
−0.520849 | + | 0.853649i | \(0.674385\pi\) | |||||||
\(572\) | 0.923951 | − | 10.5608i | 0.0386323 | − | 0.441569i | ||||
\(573\) | −38.7706 | + | 10.4798i | −1.61966 | + | 0.437801i | ||||
\(574\) | −2.02608 | − | 0.357252i | −0.0845668 | − | 0.0149114i | ||||
\(575\) | 12.5780 | + | 4.62157i | 0.524539 | + | 0.192733i | ||||
\(576\) | 2.99997 | − | 0.0131739i | 0.124999 | − | 0.000548911i | ||||
\(577\) | 31.5219 | − | 8.44628i | 1.31228 | − | 0.351623i | 0.466197 | − | 0.884681i | \(-0.345624\pi\) |
0.846079 | + | 0.533058i | \(0.178957\pi\) | |||||||
\(578\) | −6.22088 | + | 23.2166i | −0.258754 | + | 0.965684i | ||||
\(579\) | −16.3399 | − | 19.3865i | −0.679063 | − | 0.805676i | ||||
\(580\) | −7.59609 | + | 1.67185i | −0.315410 | + | 0.0694196i | ||||
\(581\) | 52.1355 | − | 30.1004i | 2.16294 | − | 1.24878i | ||||
\(582\) | 6.19771 | − | 0.555944i | 0.256903 | − | 0.0230446i | ||||
\(583\) | −3.57383 | + | 7.66410i | −0.148013 | + | 0.317415i | ||||
\(584\) | −1.10494 | − | 6.26640i | −0.0457226 | − | 0.259306i | ||||
\(585\) | 11.4640 | + | 4.71014i | 0.473980 | + | 0.194740i | ||||
\(586\) | 30.8968 | + | 11.2455i | 1.27633 | + | 0.464547i | ||||
\(587\) | 3.08600 | − | 35.2731i | 0.127373 | − | 1.45588i | −0.616393 | − | 0.787439i | \(-0.711407\pi\) |
0.743766 | − | 0.668440i | \(-0.233038\pi\) | |||||||
\(588\) | −11.7006 | − | 16.6323i | −0.482523 | − | 0.685904i | ||||
\(589\) | 23.1278 | + | 1.36506i | 0.952966 | + | 0.0562464i | ||||
\(590\) | 11.4795 | − | 1.49347i | 0.472603 | − | 0.0614853i | ||||
\(591\) | −11.8760 | + | 6.89142i | −0.488513 | + | 0.283475i | ||||
\(592\) | −4.92229 | − | 10.5559i | −0.202305 | − | 0.433844i | ||||
\(593\) | 29.3642 | − | 20.5610i | 1.20584 | − | 0.844340i | 0.214640 | − | 0.976693i | \(-0.431142\pi\) |
0.991203 | + | 0.132353i | \(0.0422534\pi\) | |||||||
\(594\) | 10.0125 | − | 28.0833i | 0.410817 | − | 1.15227i | ||||
\(595\) | −59.1111 | − | 18.7369i | −2.42332 | − | 0.768140i | ||||
\(596\) | 1.62305 | + | 0.937067i | 0.0664826 | + | 0.0383838i | ||||
\(597\) | −41.7041 | − | 19.3356i | −1.70684 | − | 0.791353i | ||||
\(598\) | 4.93274 | − | 0.431559i | 0.201715 | − | 0.0176478i | ||||
\(599\) | −13.2049 | − | 11.0802i | −0.539536 | − | 0.452724i | 0.331843 | − | 0.943334i | \(-0.392329\pi\) |
−0.871379 | + | 0.490610i | \(0.836774\pi\) | |||||||
\(600\) | 4.96123 | + | 7.09833i | 0.202541 | + | 0.289788i | ||||
\(601\) | −10.0576 | + | 17.4202i | −0.410256 | + | 0.710585i | −0.994918 | − | 0.100693i | \(-0.967894\pi\) |
0.584661 | + | 0.811277i | \(0.301227\pi\) | |||||||
\(602\) | −12.2986 | + | 26.3744i | −0.501253 | + | 1.07494i | ||||
\(603\) | −6.87333 | − | 9.72496i | −0.279904 | − | 0.396031i | ||||
\(604\) | −9.06183 | − | 1.59784i | −0.368721 | − | 0.0650154i | ||||
\(605\) | −26.2759 | − | 41.3843i | −1.06827 | − | 1.68251i | ||||
\(606\) | −1.06877 | − | 1.84181i | −0.0434159 | − | 0.0748186i | ||||
\(607\) | 1.63930 | + | 1.63930i | 0.0665373 | + | 0.0665373i | 0.739592 | − | 0.673055i | \(-0.235018\pi\) |
−0.673055 | + | 0.739592i | \(0.735018\pi\) | |||||||
\(608\) | 4.35715 | − | 0.123394i | 0.176706 | − | 0.00500430i | ||||
\(609\) | 4.47258 | − | 25.6951i | 0.181238 | − | 1.04122i | ||||
\(610\) | 6.79406 | − | 7.39172i | 0.275083 | − | 0.299282i | ||||
\(611\) | −3.90948 | + | 10.7412i | −0.158160 | + | 0.434542i | ||||
\(612\) | 5.05538 | + | 18.5409i | 0.204352 | + | 0.749470i | ||||
\(613\) | −26.0386 | − | 18.2324i | −1.05169 | − | 0.736400i | −0.0860506 | − | 0.996291i | \(-0.527425\pi\) |
−0.965638 | + | 0.259890i | \(0.916314\pi\) | |||||||
\(614\) | 13.0335 | − | 4.74382i | 0.525991 | − | 0.191445i | ||||
\(615\) | −0.987908 | + | 1.55300i | −0.0398363 | + | 0.0626228i | ||||
\(616\) | 12.4198 | + | 21.5117i | 0.500406 | + | 0.866729i | ||||
\(617\) | −10.1892 | + | 0.891440i | −0.410202 | + | 0.0358880i | −0.290390 | − | 0.956909i | \(-0.593785\pi\) |
−0.119812 | + | 0.992797i | \(0.538229\pi\) | |||||||
\(618\) | −1.66932 | − | 0.142354i | −0.0671498 | − | 0.00572631i | ||||
\(619\) | −1.43590 | + | 0.829018i | −0.0577138 | + | 0.0333211i | −0.528579 | − | 0.848884i | \(-0.677275\pi\) |
0.470865 | + | 0.882205i | \(0.343942\pi\) | |||||||
\(620\) | 4.53141 | + | 10.9872i | 0.181986 | + | 0.441258i | ||||
\(621\) | 13.7299 | + | 2.32782i | 0.550964 | + | 0.0934121i | ||||
\(622\) | −1.59952 | + | 2.28435i | −0.0641349 | + | 0.0915942i | ||||
\(623\) | −7.60940 | + | 5.32816i | −0.304864 | + | 0.213468i | ||||
\(624\) | 2.77488 | + | 1.59396i | 0.111084 | + | 0.0638096i | ||||
\(625\) | −8.69384 | + | 23.4396i | −0.347754 | + | 0.937586i | ||||
\(626\) | − | 17.8079i | − | 0.711748i | ||||||
\(627\) | 13.5677 | − | 41.1403i | 0.541840 | − | 1.64299i | ||||
\(628\) | 6.03439 | − | 6.03439i | 0.240798 | − | 0.240798i | ||||
\(629\) | 57.1549 | − | 47.9587i | 2.27892 | − | 1.91224i | ||||
\(630\) | −28.3337 | + | 6.36663i | −1.12884 | + | 0.253653i | ||||
\(631\) | −3.02534 | + | 17.1576i | −0.120437 | + | 0.683032i | 0.863477 | + | 0.504388i | \(0.168282\pi\) |
−0.983914 | + | 0.178644i | \(0.942829\pi\) | |||||||
\(632\) | 7.37343 | + | 5.16293i | 0.293299 | + | 0.205370i | ||||
\(633\) | 32.4523 | + | 22.6173i | 1.28986 | + | 0.898958i | ||||
\(634\) | −5.56561 | − | 3.21331i | −0.221039 | − | 0.127617i | ||||
\(635\) | −17.8857 | + | 13.6808i | −0.709771 | + | 0.542906i | ||||
\(636\) | −1.64512 | − | 1.95186i | −0.0652333 | − | 0.0773963i | ||||
\(637\) | −1.89058 | − | 21.6095i | −0.0749076 | − | 0.856198i | ||||
\(638\) | −5.16562 | + | 19.2784i | −0.204509 | + | 0.763238i | ||||
\(639\) | −13.2640 | + | 11.2295i | −0.524716 | + | 0.444230i | ||||
\(640\) | 1.02947 | + | 1.98499i | 0.0406934 | + | 0.0784637i | ||||
\(641\) | 7.92507 | − | 1.39740i | 0.313021 | − | 0.0551941i | −0.0149305 | − | 0.999889i | \(-0.504753\pi\) |
0.327952 | + | 0.944694i | \(0.393642\pi\) | |||||||
\(642\) | 8.25604 | + | 17.6041i | 0.325840 | + | 0.694779i | ||||
\(643\) | −12.9877 | + | 6.05627i | −0.512185 | + | 0.238836i | −0.661488 | − | 0.749956i | \(-0.730075\pi\) |
0.149303 | + | 0.988792i | \(0.452297\pi\) | |||||||
\(644\) | −8.88768 | + | 7.45765i | −0.350224 | + | 0.293873i | ||||
\(645\) | 17.6019 | + | 19.1833i | 0.693073 | + | 0.755342i | ||||
\(646\) | 7.98755 | + | 26.7559i | 0.314266 | + | 1.05270i | ||||
\(647\) | 16.9280 | − | 16.9280i | 0.665508 | − | 0.665508i | −0.291165 | − | 0.956673i | \(-0.594043\pi\) |
0.956673 | + | 0.291165i | \(0.0940428\pi\) | |||||||
\(648\) | 6.41961 | + | 6.30782i | 0.252186 | + | 0.247795i | ||||
\(649\) | 10.1598 | − | 27.9137i | 0.398805 | − | 1.09571i | ||||
\(650\) | 0.777026 | + | 9.20516i | 0.0304775 | + | 0.361056i | ||||
\(651\) | −39.8535 | + | 0.0875046i | −1.56198 | + | 0.00342957i | ||||
\(652\) | 6.86948 | + | 3.20329i | 0.269030 | + | 0.125451i | ||||
\(653\) | 18.1963 | − | 4.87569i | 0.712077 | − | 0.190800i | 0.115443 | − | 0.993314i | \(-0.463171\pi\) |
0.596634 | + | 0.802514i | \(0.296505\pi\) | |||||||
\(654\) | 4.79935 | − | 1.75877i | 0.187670 | − | 0.0687732i | ||||
\(655\) | 17.8094 | − | 3.91974i | 0.695873 | − | 0.153157i | ||||
\(656\) | −0.305477 | + | 0.364053i | −0.0119269 | + | 0.0142139i | ||||
\(657\) | 10.8804 | − | 15.6849i | 0.424483 | − | 0.611926i | ||||
\(658\) | −6.93192 | − | 25.8703i | −0.270234 | − | 1.00853i | ||||
\(659\) | 4.73761 | − | 1.72435i | 0.184551 | − | 0.0671711i | −0.248092 | − | 0.968737i | \(-0.579803\pi\) |
0.432643 | + | 0.901565i | \(0.357581\pi\) | |||||||
\(660\) | 22.0306 | − | 2.91536i | 0.857538 | − | 0.113480i | ||||
\(661\) | −3.47890 | + | 19.7298i | −0.135313 | + | 0.767401i | 0.839327 | + | 0.543626i | \(0.182949\pi\) |
−0.974641 | + | 0.223775i | \(0.928162\pi\) | |||||||
\(662\) | −15.4751 | + | 7.21616i | −0.601457 | + | 0.280464i | ||||
\(663\) | −5.26219 | + | 19.8126i | −0.204366 | + | 0.769460i | ||||
\(664\) | − | 13.9062i | − | 0.539666i | ||||||
\(665\) | −40.9349 | + | 10.2325i | −1.58739 | + | 0.396801i | ||||
\(666\) | 11.8064 | − | 32.8863i | 0.457487 | − | 1.27432i | ||||
\(667\) | −9.28671 | − | 0.812482i | −0.359583 | − | 0.0314594i | ||||
\(668\) | 3.24864 | + | 6.96672i | 0.125694 | + | 0.269551i | ||||
\(669\) | −5.19570 | + | 14.3732i | −0.200877 | + | 0.555699i | ||||
\(670\) | 4.11061 | − | 7.86705i | 0.158807 | − | 0.303931i | ||||
\(671\) | −8.81129 | − | 24.2088i | −0.340156 | − | 0.934572i | ||||
\(672\) | −7.46817 | + | 0.669906i | −0.288091 | + | 0.0258422i | ||||
\(673\) | 10.1468 | + | 2.71882i | 0.391129 | + | 0.104803i | 0.449023 | − | 0.893520i | \(-0.351772\pi\) |
−0.0578945 | + | 0.998323i | \(0.518439\pi\) | |||||||
\(674\) | 19.9214 | + | 16.7160i | 0.767343 | + | 0.643877i | ||||
\(675\) | −4.42109 | + | 25.6018i | −0.170168 | + | 0.985415i | ||||
\(676\) | −4.79322 | − | 8.30211i | −0.184355 | − | 0.319312i | ||||
\(677\) | −2.74712 | − | 10.2524i | −0.105581 | − | 0.394032i | 0.892830 | − | 0.450394i | \(-0.148717\pi\) |
−0.998410 | + | 0.0563621i | \(0.982050\pi\) | |||||||
\(678\) | 7.42846 | + | 5.17719i | 0.285288 | + | 0.198829i | ||||
\(679\) | −15.3164 | + | 2.70069i | −0.587788 | + | 0.103643i | ||||
\(680\) | −10.5756 | + | 9.66104i | −0.405554 | + | 0.370484i | ||||
\(681\) | −3.84512 | − | 2.20874i | −0.147345 | − | 0.0846390i | ||||
\(682\) | 30.3814 | + | 2.65803i | 1.16336 | + | 0.101781i | ||||
\(683\) | −14.4107 | − | 14.4107i | −0.551409 | − | 0.551409i | 0.375438 | − | 0.926847i | \(-0.377492\pi\) |
−0.926847 | + | 0.375438i | \(0.877492\pi\) | |||||||
\(684\) | 9.54402 | + | 8.93933i | 0.364925 | + | 0.341804i | ||||
\(685\) | 21.3661 | − | 2.77972i | 0.816357 | − | 0.106207i | ||||
\(686\) | 13.1920 | + | 15.7216i | 0.503672 | + | 0.600253i | ||||
\(687\) | −14.9906 | + | 4.05202i | −0.571928 | + | 0.154594i | ||||
\(688\) | 3.85571 | + | 5.50653i | 0.146998 | + | 0.209934i | ||||
\(689\) | −0.472835 | − | 2.68158i | −0.0180136 | − | 0.102160i | ||||
\(690\) | 3.12787 | + | 9.89724i | 0.119076 | + | 0.376782i | ||||
\(691\) | 6.58577 | − | 11.4069i | 0.250535 | − | 0.433939i | −0.713139 | − | 0.701023i | \(-0.752727\pi\) |
0.963673 | + | 0.267085i | \(0.0860603\pi\) | |||||||
\(692\) | −16.0983 | − | 4.31351i | −0.611964 | − | 0.163975i | ||||
\(693\) | −18.9706 | + | 72.0634i | −0.720632 | + | 2.73746i | ||||
\(694\) | −18.0611 | + | 21.5244i | −0.685590 | + | 0.817054i | ||||
\(695\) | −25.7560 | − | 3.43086i | −0.976979 | − | 0.130140i | ||||
\(696\) | −4.62370 | − | 3.86248i | −0.175261 | − | 0.146407i | ||||
\(697\) | −2.75910 | − | 1.28659i | −0.104508 | − | 0.0487330i | ||||
\(698\) | −14.0292 | + | 20.0358i | −0.531014 | + | 0.758367i | ||||
\(699\) | 0.463948 | + | 0.167711i | 0.0175481 | + | 0.00634340i | ||||
\(700\) | −13.8626 | − | 16.6237i | −0.523958 | − | 0.628316i | ||||
\(701\) | 2.41289 | + | 2.87557i | 0.0911336 | + | 0.108609i | 0.809684 | − | 0.586866i | \(-0.199639\pi\) |
−0.718550 | + | 0.695475i | \(0.755194\pi\) | |||||||
\(702\) | 2.54577 | + | 9.25662i | 0.0960839 | + | 0.349368i | ||||
\(703\) | 16.0064 | − | 48.1794i | 0.603694 | − | 1.81712i | ||||
\(704\) | 5.73785 | 0.216254 | ||||||||
\(705\) | −23.7583 | − | 3.11169i | −0.894790 | − | 0.117193i | ||||
\(706\) | 2.40053 | + | 0.873723i | 0.0903453 | + | 0.0328830i | ||||
\(707\) | 3.05275 | + | 4.35978i | 0.114811 | + | 0.163967i | ||||
\(708\) | 6.35447 | + | 6.32663i | 0.238816 | + | 0.237769i | ||||
\(709\) | 5.10764 | + | 14.0331i | 0.191821 | + | 0.527025i | 0.997899 | − | 0.0647845i | \(-0.0206360\pi\) |
−0.806078 | + | 0.591810i | \(0.798414\pi\) | |||||||
\(710\) | −11.9600 | − | 4.97542i | −0.448852 | − | 0.186724i | ||||
\(711\) | 4.80591 | + | 26.5728i | 0.180236 | + | 0.996558i | ||||
\(712\) | 0.187020 | + | 2.13765i | 0.00700888 | + | 0.0801118i | ||||
\(713\) | 1.24151 | + | 14.1905i | 0.0464949 | + | 0.531439i | ||||
\(714\) | −16.5271 | − | 45.0996i | −0.618512 | − | 1.68781i | ||||
\(715\) | 21.8866 | + | 9.10490i | 0.818512 | + | 0.340504i | ||||
\(716\) | −5.95854 | − | 16.3709i | −0.222681 | − | 0.611811i | ||||
\(717\) | 11.9121 | − | 11.9646i | 0.444867 | − | 0.446825i | ||||
\(718\) | −3.65098 | − | 5.21414i | −0.136253 | − | 0.194590i | ||||
\(719\) | 4.92768 | + | 1.79353i | 0.183772 | + | 0.0668874i | 0.432267 | − | 0.901746i | \(-0.357714\pi\) |
−0.248495 | + | 0.968633i | \(0.579936\pi\) | |||||||
\(720\) | −1.99886 | + | 6.40348i | −0.0744932 | + | 0.238644i | ||||
\(721\) | 4.18741 | 0.155947 | ||||||||
\(722\) | 14.1738 | + | 12.6531i | 0.527496 | + | 0.470901i | ||||
\(723\) | 17.1330 | + | 24.3545i | 0.637183 | + | 0.905753i | ||||
\(724\) | −3.20269 | − | 3.81682i | −0.119027 | − | 0.141851i | ||||
\(725\) | 1.56871 | − | 17.3210i | 0.0582605 | − | 0.643286i | ||||
\(726\) | 12.9087 | − | 35.7102i | 0.479087 | − | 1.32533i | ||||
\(727\) | 16.2632 | − | 23.2262i | 0.603168 | − | 0.861413i | −0.395196 | − | 0.918597i | \(-0.629323\pi\) |
0.998364 | + | 0.0571837i | \(0.0182121\pi\) | |||||||
\(728\) | −7.24891 | − | 3.38022i | −0.268662 | − | 0.125279i | ||||
\(729\) | 0.355685 | + | 26.9977i | 0.0131735 | + | 0.999913i | ||||
\(730\) | 14.1037 | + | 1.87870i | 0.522001 | + | 0.0695338i | ||||
\(731\) | −27.6797 | + | 32.9874i | −1.02377 | + | 1.22008i | ||||
\(732\) | 7.74864 | + | 0.660778i | 0.286398 | + | 0.0244231i | ||||
\(733\) | 45.0563 | + | 12.0728i | 1.66419 | + | 0.445919i | 0.963536 | − | 0.267578i | \(-0.0862234\pi\) |
0.700658 | + | 0.713498i | \(0.252890\pi\) | |||||||
\(734\) | 5.08007 | − | 8.79894i | 0.187509 | − | 0.324775i | ||||
\(735\) | 43.3581 | − | 13.7026i | 1.59929 | − | 0.505429i | ||||
\(736\) | 0.465384 | + | 2.63932i | 0.0171543 | + | 0.0972867i | ||||
\(737\) | −13.0643 | − | 18.6577i | −0.481228 | − | 0.687265i | ||||
\(738\) | −1.41973 | + | 0.130495i | −0.0522609 | + | 0.00480358i | ||||
\(739\) | −12.0147 | − | 14.3185i | −0.441967 | − | 0.526716i | 0.498368 | − | 0.866966i | \(-0.333933\pi\) |
−0.940335 | + | 0.340250i | \(0.889488\pi\) | |||||||
\(740\) | 25.8261 | − | 3.35996i | 0.949388 | − | 0.123515i | ||||
\(741\) | 4.01956 | + | 13.3572i | 0.147662 | + | 0.490690i | ||||
\(742\) | 4.51144 | + | 4.51144i | 0.165620 | + | 0.165620i | ||||
\(743\) | −31.1890 | − | 2.72868i | −1.14421 | − | 0.100106i | −0.500757 | − | 0.865588i | \(-0.666945\pi\) |
−0.643457 | + | 0.765482i | \(0.722500\pi\) | |||||||
\(744\) | −4.58552 | + | 7.98278i | −0.168113 | + | 0.292663i | ||||
\(745\) | −3.09402 | + | 2.82647i | −0.113356 | + | 0.103554i | ||||
\(746\) | −18.6085 | + | 3.28118i | −0.681305 | + | 0.120132i | ||||
\(747\) | 29.3697 | − | 29.6288i | 1.07458 | − | 1.08406i | ||||
\(748\) | 9.51319 | + | 35.5037i | 0.347837 | + | 1.29814i | ||||
\(749\) | −24.2990 | − | 42.0870i | −0.887865 | − | 1.53783i | ||||
\(750\) | −18.4825 | + | 5.77907i | −0.674885 | + | 0.211022i | ||||
\(751\) | 6.19949 | + | 5.20199i | 0.226223 | + | 0.189823i | 0.748853 | − | 0.662736i | \(-0.230605\pi\) |
−0.522631 | + | 0.852559i | \(0.675049\pi\) | |||||||
\(752\) | −5.97596 | − | 1.60125i | −0.217921 | − | 0.0583917i | ||||
\(753\) | 3.97091 | + | 44.2681i | 0.144708 | + | 1.61322i | ||||
\(754\) | −2.19802 | − | 6.03901i | −0.0800472 | − | 0.219928i | ||||
\(755\) | 9.52854 | − | 18.2361i | 0.346779 | − | 0.663680i | ||||
\(756\) | −17.3266 | − | 14.3453i | −0.630163 | − | 0.521735i | ||||
\(757\) | −6.65808 | − | 14.2783i | −0.241992 | − | 0.518953i | 0.747374 | − | 0.664404i | \(-0.231315\pi\) |
−0.989366 | + | 0.145451i | \(0.953537\pi\) | |||||||
\(758\) | −24.1775 | − | 2.11526i | −0.878167 | − | 0.0768296i | ||||
\(759\) | 26.2403 | + | 4.56750i | 0.952464 | + | 0.165790i | ||||
\(760\) | −2.68091 | + | 9.37084i | −0.0972468 | + | 0.339916i | ||||
\(761\) | 11.5281i | 0.417893i | 0.977927 | + | 0.208946i | \(0.0670034\pi\) | ||||
−0.977927 | + | 0.208946i | \(0.932997\pi\) | |||||||
\(762\) | −16.8579 | − | 4.47742i | −0.610698 | − | 0.162200i | ||||
\(763\) | −11.5785 | + | 5.39916i | −0.419171 | + | 0.195463i | ||||
\(764\) | 4.02647 | − | 22.8352i | 0.145673 | − | 0.826150i | ||||
\(765\) | −42.9364 | − | 1.75144i | −1.55237 | − | 0.0633236i | ||||
\(766\) | −31.0453 | + | 11.2995i | −1.12171 | + | 0.408269i | ||||
\(767\) | 2.47561 | + | 9.23909i | 0.0893890 | + | 0.333604i | ||||
\(768\) | −0.728548 | + | 1.57137i | −0.0262892 | + | 0.0567021i | ||||
\(769\) | −28.0082 | + | 33.3789i | −1.01000 | + | 1.20367i | −0.0310628 | + | 0.999517i | \(0.509889\pi\) |
−0.978939 | + | 0.204155i | \(0.934555\pi\) | |||||||
\(770\) | −54.2446 | + | 11.9389i | −1.95484 | + | 0.430246i | ||||
\(771\) | −15.1411 | − | 41.3173i | −0.545293 | − | 1.48801i | ||||
\(772\) | 14.1394 | − | 3.78864i | 0.508888 | − | 0.136356i | ||||
\(773\) | −3.78051 | − | 1.76288i | −0.135975 | − | 0.0634064i | 0.353440 | − | 0.935457i | \(-0.385012\pi\) |
−0.489415 | + | 0.872051i | \(0.662790\pi\) | |||||||
\(774\) | −3.41466 | + | 19.8755i | −0.122738 | + | 0.714410i | ||||
\(775\) | −26.4814 | + | 2.23535i | −0.951242 | + | 0.0802962i | ||||
\(776\) | −1.22875 | + | 3.37595i | −0.0441094 | + | 0.121190i | ||||
\(777\) | −22.4179 | + | 84.4057i | −0.804238 | + | 3.02804i | ||||
\(778\) | 0.156597 | − | 0.156597i | 0.00561426 | − | 0.00561426i | ||||
\(779\) | −2.05769 | + | 0.238890i | −0.0737244 | + | 0.00855913i | ||||
\(780\) | −5.27246 | + | 4.83781i | −0.188784 | + | 0.173221i | ||||
\(781\) | −25.4631 | + | 21.3661i | −0.911140 | + | 0.764538i | ||||
\(782\) | −15.5595 | + | 7.25554i | −0.556408 | + | 0.259457i | ||||
\(783\) | −1.69384 | − | 17.9946i | −0.0605327 | − | 0.643076i | ||||
\(784\) | 11.5624 | − | 2.03876i | 0.412943 | − | 0.0728129i | ||||
\(785\) | 8.78542 | + | 16.9398i | 0.313565 | + | 0.604606i | ||||
\(786\) | 10.8405 | + | 9.05580i | 0.386669 | + | 0.323010i | ||||
\(787\) | 12.9676 | − | 48.3957i | 0.462245 | − | 1.72512i | −0.203622 | − | 0.979050i | \(-0.565271\pi\) |
0.665867 | − | 0.746071i | \(-0.268062\pi\) | |||||||
\(788\) | −0.690918 | − | 7.89723i | −0.0246129 | − | 0.281327i | ||||
\(789\) | 10.5671 | − | 8.90643i | 0.376197 | − | 0.317077i | ||||
\(790\) | −15.9869 | + | 12.2285i | −0.568789 | + | 0.435069i | ||||
\(791\) | −19.5989 | − | 11.3154i | −0.696857 | − | 0.402330i | ||||
\(792\) | 12.2252 | + | 12.1183i | 0.434402 | + | 0.430604i | ||||
\(793\) | 6.79526 | + | 4.75809i | 0.241307 | + | 0.168965i | ||||
\(794\) | −1.12614 | + | 6.38663i | −0.0399651 | + | 0.226653i | ||||
\(795\) | 5.27202 | − | 2.18787i | 0.186979 | − | 0.0775958i | ||||
\(796\) | 20.3307 | − | 17.0595i | 0.720604 | − | 0.604658i | ||||
\(797\) | 39.3335 | − | 39.3335i | 1.39326 | − | 1.39326i | 0.575373 | − | 0.817891i | \(-0.304857\pi\) |
0.817891 | − | 0.575373i | \(-0.195143\pi\) | |||||||
\(798\) | −25.6663 | − | 20.2352i | −0.908579 | − | 0.716318i | ||||
\(799\) | − | 39.6318i | − | 1.40207i | ||||||
\(800\) | −4.92667 | + | 0.853198i | −0.174184 | + | 0.0301651i | ||||
\(801\) | −4.11622 | + | 4.94949i | −0.145439 | + | 0.174882i | ||||
\(802\) | −19.2023 | + | 13.4456i | −0.678056 | + | 0.474780i | ||||
\(803\) | 20.9415 | − | 29.9075i | 0.739009 | − | 1.05541i | ||||
\(804\) | 6.76841 | − | 1.20878i | 0.238703 | − | 0.0426305i | ||||
\(805\) | −9.89133 | − | 23.9833i | −0.348623 | − | 0.845300i | ||||
\(806\) | −8.50447 | + | 4.91006i | −0.299557 | + | 0.172949i | ||||
\(807\) | 1.82135 | − | 21.3582i | 0.0641146 | − | 0.751843i | ||||
\(808\) | 1.22476 | − | 0.107153i | 0.0430869 | − | 0.00376961i | ||||
\(809\) | −4.39193 | − | 7.60705i | −0.154412 | − | 0.267450i | 0.778433 | − | 0.627728i | \(-0.216015\pi\) |
−0.932845 | + | 0.360278i | \(0.882682\pi\) | |||||||
\(810\) | −17.7829 | + | 9.42178i | −0.624826 | + | 0.331048i | ||||
\(811\) | −27.2092 | + | 9.90335i | −0.955446 | + | 0.347754i | −0.772247 | − | 0.635322i | \(-0.780867\pi\) |
−0.183198 | + | 0.983076i | \(0.558645\pi\) | |||||||
\(812\) | 12.3349 | + | 8.63698i | 0.432870 | + | 0.303099i | ||||
\(813\) | −22.2588 | + | 10.4390i | −0.780650 | + | 0.366112i | ||||
\(814\) | 22.8571 | − | 62.7993i | 0.801139 | − | 2.20111i | ||||
\(815\) | −11.4694 | + | 12.4783i | −0.401754 | + | 0.437096i | ||||
\(816\) | −10.9310 | − | 1.90269i | −0.382661 | − | 0.0666075i | ||||
\(817\) | −4.26923 | + | 28.9888i | −0.149362 | + | 1.01419i | ||||
\(818\) | −13.7251 | − | 13.7251i | −0.479886 | − | 0.479886i | ||||
\(819\) | −8.30566 | − | 22.5115i | −0.290223 | − | 0.786617i | ||||
\(820\) | −0.569599 | − | 0.897112i | −0.0198913 | − | 0.0313285i | ||||
\(821\) | −18.7484 | − | 3.30585i | −0.654324 | − | 0.115375i | −0.163376 | − | 0.986564i | \(-0.552238\pi\) |
−0.490948 | + | 0.871189i | \(0.663349\pi\) | |||||||
\(822\) | 11.8272 | + | 11.7754i | 0.412521 | + | 0.410714i | ||||
\(823\) | 8.14193 | − | 17.4604i | 0.283810 | − | 0.608632i | −0.711784 | − | 0.702398i | \(-0.752113\pi\) |
0.995594 | + | 0.0937657i | \(0.0298905\pi\) | |||||||
\(824\) | 0.483640 | − | 0.837688i | 0.0168484 | − | 0.0291823i | ||||
\(825\) | −8.67081 | + | 48.9289i | −0.301879 | + | 1.70349i | ||||
\(826\) | −17.1684 | − | 14.4060i | −0.597365 | − | 0.501249i | ||||
\(827\) | 0.899096 | − | 0.0786607i | 0.0312646 | − | 0.00273530i | −0.0715127 | − | 0.997440i | \(-0.522783\pi\) |
0.102777 | + | 0.994704i | \(0.467227\pi\) | |||||||
\(828\) | −4.58265 | + | 6.60626i | −0.159258 | + | 0.229583i | ||||
\(829\) | 17.1859 | + | 9.92226i | 0.596890 | + | 0.344614i | 0.767817 | − | 0.640669i | \(-0.221343\pi\) |
−0.170927 | + | 0.985284i | \(0.554676\pi\) | |||||||
\(830\) | 29.6417 | + | 9.39579i | 1.02888 | + | 0.326133i | ||||
\(831\) | −12.8052 | + | 0.0281158i | −0.444207 | + | 0.000975326i | ||||
\(832\) | −1.51345 | + | 1.05973i | −0.0524694 | + | 0.0367395i | ||||
\(833\) | 31.7852 | + | 68.1636i | 1.10129 | + | 2.36173i | ||||
\(834\) | −10.1016 | − | 17.4081i | −0.349790 | − | 0.602793i | ||||
\(835\) | −17.0449 | + | 2.21752i | −0.589861 | + | 0.0767405i | ||||
\(836\) | 18.1788 | + | 17.1775i | 0.628727 | + | 0.594097i | ||||
\(837\) | −26.6295 | + | 7.32368i | −0.920449 | + | 0.253143i | ||||
\(838\) | −2.11251 | + | 24.1461i | −0.0729755 | + | 0.834113i | ||||
\(839\) | −9.15796 | − | 3.33323i | −0.316168 | − | 0.115076i | 0.179062 | − | 0.983838i | \(-0.442694\pi\) |
−0.495230 | + | 0.868762i | \(0.664916\pi\) | |||||||
\(840\) | 3.61796 | − | 16.3714i | 0.124832 | − | 0.564866i | ||||
\(841\) | −2.93481 | − | 16.6441i | −0.101200 | − | 0.573935i | ||||
\(842\) | −5.21809 | + | 11.1902i | −0.179827 | + | 0.385641i | ||||
\(843\) | −0.918273 | − | 10.2370i | −0.0316270 | − | 0.352580i | ||||
\(844\) | −19.7781 | + | 11.4189i | −0.680791 | + | 0.393055i | ||||
\(845\) | 20.9349 | − | 4.60763i | 0.720182 | − | 0.158507i | ||||
\(846\) | −9.35064 | − | 16.0328i | −0.321482 | − | 0.551218i | ||||
\(847\) | −24.5635 | + | 91.6721i | −0.844010 | + | 3.14989i | ||||
\(848\) | 1.42357 | − | 0.381445i | 0.0488857 | − | 0.0130989i | ||||
\(849\) | 0.986288 | − | 0.176143i | 0.0338493 | − | 0.00604521i | ||||
\(850\) | −13.4475 | − | 29.0698i | −0.461247 | − | 0.997086i | ||||
\(851\) | 30.7405 | + | 5.42038i | 1.05377 | + | 0.185808i | ||||
\(852\) | −2.61823 | − | 9.68624i | −0.0896990 | − | 0.331845i | ||||
\(853\) | 2.78592 | − | 31.8432i | 0.0953881 | − | 1.09029i | −0.786104 | − | 0.618094i | \(-0.787905\pi\) |
0.881493 | − | 0.472198i | \(-0.156539\pi\) | |||||||
\(854\) | −19.4371 | −0.665125 | ||||||||
\(855\) | −25.5031 | + | 14.3036i | −0.872186 | + | 0.489174i | ||||
\(856\) | −11.2260 | −0.383696 | ||||||||
\(857\) | −4.00676 | + | 45.7975i | −0.136868 | + | 1.56441i | 0.548459 | + | 0.836177i | \(0.315215\pi\) |
−0.685327 | + | 0.728235i | \(0.740341\pi\) | |||||||
\(858\) | 4.79129 | + | 17.7256i | 0.163572 | + | 0.605142i | ||||
\(859\) | 11.9995 | + | 2.11584i | 0.409418 | + | 0.0721914i | 0.374564 | − | 0.927201i | \(-0.377792\pi\) |
0.0348538 | + | 0.999392i | \(0.488903\pi\) | |||||||
\(860\) | −14.3426 | + | 4.49812i | −0.489077 | + | 0.153385i | ||||
\(861\) | 3.50790 | − | 0.626482i | 0.119549 | − | 0.0213505i | ||||
\(862\) | 25.5308 | − | 6.84095i | 0.869581 | − | 0.233004i | ||||
\(863\) | −2.56700 | + | 9.58019i | −0.0873818 | + | 0.326113i | −0.995755 | − | 0.0920480i | \(-0.970659\pi\) |
0.908373 | + | 0.418161i | \(0.137325\pi\) | |||||||
\(864\) | −4.87097 | + | 1.80931i | −0.165714 | + | 0.0615541i | ||||
\(865\) | 20.0713 | − | 31.3997i | 0.682445 | − | 1.06762i | ||||
\(866\) | −2.73689 | + | 1.58014i | −0.0930032 | + | 0.0536954i | ||||
\(867\) | −3.71942 | − | 41.4644i | −0.126318 | − | 1.40821i | ||||
\(868\) | 9.72423 | − | 20.8537i | 0.330062 | − | 0.707820i | ||||
\(869\) | 8.96861 | + | 50.8635i | 0.304239 | + | 1.72543i | ||||
\(870\) | 11.3571 | − | 7.24594i | 0.385041 | − | 0.245660i | ||||
\(871\) | 6.89180 | + | 2.50841i | 0.233520 | + | 0.0849943i | ||||
\(872\) | −0.257206 | + | 2.93987i | −0.00871008 | + | 0.0995567i | ||||
\(873\) | −9.74795 | + | 4.59777i | −0.329918 | + | 0.155611i | ||||
\(874\) | −6.42695 | + | 9.75519i | −0.217395 | + | 0.329974i | ||||
\(875\) | 44.8005 | − | 18.3170i | 1.51453 | − | 0.619227i | ||||
\(876\) | 5.53152 | + | 9.53248i | 0.186893 | + | 0.322073i | ||||
\(877\) | 4.90007 | + | 10.5082i | 0.165464 | + | 0.354838i | 0.971504 | − | 0.237022i | \(-0.0761714\pi\) |
−0.806040 | + | 0.591860i | \(0.798394\pi\) | |||||||
\(878\) | 12.0580 | − | 8.44310i | 0.406938 | − | 0.284941i | ||||
\(879\) | −56.9491 | + | 0.125040i | −1.92085 | + | 0.00421751i | ||||
\(880\) | −3.87681 | + | 12.2305i | −0.130687 | + | 0.412290i | ||||
\(881\) | −19.1600 | − | 11.0621i | −0.645518 | − | 0.372690i | 0.141219 | − | 0.989978i | \(-0.454898\pi\) |
−0.786737 | + | 0.617288i | \(0.788231\pi\) | |||||||
\(882\) | 28.9409 | + | 20.0758i | 0.974489 | + | 0.675987i | ||||
\(883\) | −49.4289 | + | 4.32447i | −1.66342 | + | 0.145530i | −0.879681 | − | 0.475565i | \(-0.842244\pi\) |
−0.783735 | + | 0.621095i | \(0.786688\pi\) | |||||||
\(884\) | −9.06646 | − | 7.60766i | −0.304938 | − | 0.255873i | ||||
\(885\) | −17.7789 | + | 9.27023i | −0.597632 | + | 0.311616i | ||||
\(886\) | −0.682983 | + | 1.18296i | −0.0229453 | + | 0.0397423i | ||||
\(887\) | −1.99258 | + | 4.27311i | −0.0669044 | + | 0.143477i | −0.936916 | − | 0.349554i | \(-0.886333\pi\) |
0.870012 | + | 0.493031i | \(0.164111\pi\) | |||||||
\(888\) | 14.2961 | + | 14.2334i | 0.479744 | + | 0.477642i | ||||
\(889\) | 42.9329 | + | 7.57023i | 1.43992 | + | 0.253897i | ||||
\(890\) | −4.68286 | − | 1.04567i | −0.156970 | − | 0.0350509i | ||||
\(891\) | 0.453534 | + | 51.6387i | 0.0151940 | + | 1.72996i | ||||
\(892\) | −6.23944 | − | 6.23944i | −0.208912 | − | 0.208912i | ||||
\(893\) | −14.1395 | − | 22.9635i | −0.473159 | − | 0.768443i | ||||
\(894\) | −3.19801 | − | 0.556658i | −0.106957 | − | 0.0186174i | ||||
\(895\) | 38.9213 | − | 1.63980i | 1.30100 | − | 0.0548124i | ||||
\(896\) | 1.48063 | − | 4.06799i | 0.0494642 | − | 0.135902i | ||||
\(897\) | −7.76487 | + | 3.64160i | −0.259262 | + | 0.121589i | ||||
\(898\) | 24.3802 | + | 17.0712i | 0.813577 | + | 0.569673i | ||||
\(899\) | 17.3731 | − | 6.32328i | 0.579424 | − | 0.210893i | ||||
\(900\) | −12.2988 | − | 8.58721i | −0.409959 | − | 0.286240i | ||||
\(901\) | 4.72049 | + | 8.17612i | 0.157262 | + | 0.272386i | ||||
\(902\) | −2.71647 | + | 0.237660i | −0.0904485 | + | 0.00791321i | ||||
\(903\) | 4.28277 | − | 50.2220i | 0.142521 | − | 1.67128i | ||||
\(904\) | −4.52729 | + | 2.61383i | −0.150575 | + | 0.0869347i | ||||
\(905\) | 10.2996 | − | 4.24784i | 0.342372 | − | 0.141203i | ||||
\(906\) | 15.6894 | − | 2.80200i | 0.521246 | − | 0.0930903i | ||||
\(907\) | −2.05726 | + | 2.93807i | −0.0683101 | + | 0.0975569i | −0.851853 | − | 0.523780i | \(-0.824521\pi\) |
0.783543 | + | 0.621337i | \(0.213410\pi\) | |||||||
\(908\) | 2.09717 | − | 1.46846i | 0.0695971 | − | 0.0487324i | ||||
\(909\) | 2.83580 | + | 2.35837i | 0.0940574 | + | 0.0782223i | ||||
\(910\) | 12.1029 | − | 13.1675i | 0.401206 | − | 0.436499i | ||||
\(911\) | 51.4778i | 1.70554i | 0.522290 | + | 0.852768i | \(0.325078\pi\) | ||||
−0.522290 | + | 0.852768i | \(0.674922\pi\) | |||||||
\(912\) | −7.01246 | + | 2.79740i | −0.232206 | + | 0.0926312i | ||||
\(913\) | 56.4213 | − | 56.4213i | 1.86727 | − | 1.86727i | ||||
\(914\) | 25.6147 | − | 21.4933i | 0.847258 | − | 0.710934i | ||||
\(915\) | −6.64388 | + | 16.0701i | −0.219640 | + | 0.531262i | ||||
\(916\) | 1.55683 | − | 8.82924i | 0.0514392 | − | 0.291726i | ||||
\(917\) | −28.9198 | − | 20.2499i | −0.955017 | − | 0.668710i | ||||
\(918\) | −19.2713 | − | 27.1400i | −0.636047 | − | 0.895753i | ||||
\(919\) | 22.1174 | + | 12.7695i | 0.729585 | + | 0.421226i | 0.818270 | − | 0.574834i | \(-0.194933\pi\) |
−0.0886852 | + | 0.996060i | \(0.528267\pi\) | |||||||
\(920\) | −5.94027 | − | 0.791282i | −0.195845 | − | 0.0260878i | ||||
\(921\) | −18.3692 | + | 15.4824i | −0.605285 | + | 0.510163i | ||||
\(922\) | 0.560081 | + | 6.40175i | 0.0184453 | + | 0.210830i | ||||
\(923\) | 2.77017 | − | 10.3384i | 0.0911813 | − | 0.340293i | ||||
\(924\) | −33.0184 | − | 27.5824i | −1.08623 | − | 0.907395i | ||||
\(925\) | −10.2876 | + | 57.3198i | −0.338255 | + | 1.88466i | ||||
\(926\) | 12.7999 | − | 2.25696i | 0.420630 | − | 0.0741684i | ||||
\(927\) | 2.79963 | − | 0.763352i | 0.0919521 | − | 0.0250718i | ||||
\(928\) | 3.15248 | − | 1.47003i | 0.103485 | − | 0.0482560i | ||||
\(929\) | 40.3093 | − | 33.8235i | 1.32250 | − | 1.10971i | 0.336736 | − | 0.941599i | \(-0.390677\pi\) |
0.985768 | − | 0.168114i | \(-0.0537675\pi\) | |||||||
\(930\) | −13.9174 | − | 15.1678i | −0.456371 | − | 0.497373i | ||||
\(931\) | 42.7358 | + | 28.1553i | 1.40061 | + | 0.922753i | ||||
\(932\) | −0.201401 | + | 0.201401i | −0.00659712 | + | 0.00659712i | ||||
\(933\) | 1.23988 | − | 4.66829i | 0.0405920 | − | 0.152833i | ||||
\(934\) | −5.88611 | + | 16.1720i | −0.192599 | + | 0.529163i | ||||
\(935\) | −82.1055 | − | 3.71043i | −2.68514 | − | 0.121344i | ||||
\(936\) | −5.46271 | − | 0.938507i | −0.178554 | − | 0.0306761i | ||||
\(937\) | 36.2102 | + | 16.8851i | 1.18294 | + | 0.551612i | 0.911682 | − | 0.410896i | \(-0.134784\pi\) |
0.271253 | + | 0.962508i | \(0.412562\pi\) | |||||||
\(938\) | −16.5990 | + | 4.44768i | −0.541976 | + | 0.145222i | ||||
\(939\) | 10.6130 | + | 28.9609i | 0.346341 | + | 0.945102i | ||||
\(940\) | 7.45083 | − | 11.6561i | 0.243019 | − | 0.380181i | ||||
\(941\) | 1.83092 | − | 2.18200i | 0.0596862 | − | 0.0711312i | −0.735375 | − | 0.677660i | \(-0.762994\pi\) |
0.795061 | + | 0.606529i | \(0.207439\pi\) | |||||||
\(942\) | −6.21737 | + | 13.4100i | −0.202573 | + | 0.436921i | ||||
\(943\) | −0.329646 | − | 1.23026i | −0.0107347 | − | 0.0400626i | ||||
\(944\) | −4.86483 | + | 1.77065i | −0.158337 | + | 0.0576299i | ||||
\(945\) | 42.2846 | − | 27.2400i | 1.37552 | − | 0.886118i | ||||
\(946\) | −6.69781 | + | 37.9852i | −0.217765 | + | 1.23501i | ||||
\(947\) | −12.4355 | + | 5.79879i | −0.404101 | + | 0.188435i | −0.614032 | − | 0.789281i | \(-0.710454\pi\) |
0.209932 | + | 0.977716i | \(0.432676\pi\) | |||||||
\(948\) | −15.0683 | − | 4.00210i | −0.489395 | − | 0.129982i | ||||
\(949\) | 11.7563i | 0.381625i | ||||||||
\(950\) | −18.1630 | − | 12.0459i | −0.589286 | − | 0.390822i | ||||
\(951\) | 10.9663 | + | 1.90884i | 0.355608 | + | 0.0618985i | ||||
\(952\) | 27.6260 | + | 2.41696i | 0.895365 | + | 0.0783342i | ||||
\(953\) | 20.4749 | + | 43.9085i | 0.663247 | + | 1.42234i | 0.893436 | + | 0.449191i | \(0.148288\pi\) |
−0.230189 | + | 0.973146i | \(0.573934\pi\) | |||||||
\(954\) | 3.83869 | + | 2.19385i | 0.124282 | + | 0.0710286i | ||||
\(955\) | 45.9539 | + | 24.0113i | 1.48703 | + | 0.776989i | ||||
\(956\) | 3.33389 | + | 9.15979i | 0.107826 | + | 0.296249i | ||||
\(957\) | −3.08849 | − | 34.4308i | −0.0998369 | − | 1.11299i | ||||
\(958\) | 22.9533 | + | 6.15031i | 0.741587 | + | 0.198708i | ||||
\(959\) | −31.9546 | − | 26.8131i | −1.03187 | − | 0.865839i | ||||
\(960\) | −2.85721 | − | 2.61464i | −0.0922161 | − | 0.0843871i | ||||
\(961\) | 1.37472 | + | 2.38109i | 0.0443458 | + | 0.0768093i | ||||
\(962\) | 5.56953 | + | 20.7858i | 0.179569 | + | 0.670160i | ||||
\(963\) | −23.9182 | − | 23.7091i | −0.770754 | − | 0.764014i | ||||
\(964\) | −16.9307 | + | 2.98534i | −0.545301 | + | 0.0961512i | ||||
\(965\) | −1.47768 | + | 32.6986i | −0.0475683 | + | 1.05261i | ||||
\(966\) | 10.0094 | − | 17.4251i | 0.322048 | − | 0.560643i | ||||
\(967\) | 54.5655 | + | 4.77386i | 1.75471 | + | 0.153517i | 0.918637 | − | 0.395103i | \(-0.129291\pi\) |
0.836072 | + | 0.548620i | \(0.184847\pi\) | |||||||
\(968\) | 15.5019 | + | 15.5019i | 0.498249 | + | 0.498249i | ||||
\(969\) | −28.9357 | − | 38.7525i | −0.929549 | − | 1.24491i | ||||
\(970\) | −6.36580 | − | 4.90011i | −0.204393 | − | 0.157333i | ||||
\(971\) | −17.0873 | − | 20.3639i | −0.548359 | − | 0.653509i | 0.418681 | − | 0.908133i | \(-0.362493\pi\) |
−0.967040 | + | 0.254625i | \(0.918048\pi\) | |||||||
\(972\) | −14.1994 | − | 6.43247i | −0.455446 | − | 0.206322i | ||||
\(973\) | 28.8534 | + | 41.2069i | 0.924997 | + | 1.32103i | ||||
\(974\) | 4.91977 | + | 27.9014i | 0.157639 | + | 0.894018i | ||||
\(975\) | −6.74966 | − | 14.5072i | −0.216162 | − | 0.464602i | ||||
\(976\) | −2.24496 | + | 3.88838i | −0.0718594 | + | 0.124464i | ||||
\(977\) | 36.1858 | + | 9.69596i | 1.15769 | + | 0.310201i | 0.786041 | − | 0.618174i | \(-0.212127\pi\) |
0.371645 | + | 0.928375i | \(0.378794\pi\) | |||||||
\(978\) | −13.0808 | − | 1.11549i | −0.418279 | − | 0.0356694i | ||||
\(979\) | −7.91424 | + | 9.43183i | −0.252940 | + | 0.301443i | ||||
\(980\) | −3.46647 | + | 26.0233i | −0.110732 | + | 0.831283i | ||||
\(981\) | −6.75698 | + | 5.72053i | −0.215734 | + | 0.182642i | ||||
\(982\) | −15.6137 | − | 7.28080i | −0.498254 | − | 0.232340i | ||||
\(983\) | −30.3499 | + | 43.3442i | −0.968012 | + | 1.38246i | −0.0444513 | + | 0.999012i | \(0.514154\pi\) |
−0.923561 | + | 0.383453i | \(0.874735\pi\) | |||||||
\(984\) | 0.279830 | − | 0.774110i | 0.00892065 | − | 0.0246777i | ||||
\(985\) | 17.3001 | + | 3.86308i | 0.551228 | + | 0.123088i | ||||
\(986\) | 14.3227 | + | 17.0691i | 0.456128 | + | 0.543592i | ||||
\(987\) | 26.6912 | + | 37.9414i | 0.849590 | + | 1.20769i | ||||
\(988\) | −7.96748 | − | 1.17338i | −0.253479 | − | 0.0373303i | ||||
\(989\) | −18.0158 | −0.572870 | ||||||||
\(990\) | −34.0906 | + | 17.8707i | −1.08347 | + | 0.567970i | ||||
\(991\) | −15.5662 | − | 5.66563i | −0.494476 | − | 0.179975i | 0.0827318 | − | 0.996572i | \(-0.473636\pi\) |
−0.577208 | + | 0.816597i | \(0.695858\pi\) | |||||||
\(992\) | −3.04863 | − | 4.35390i | −0.0967941 | − | 0.138236i | ||||
\(993\) | 20.8664 | − | 20.9582i | 0.662175 | − | 0.665089i | ||||
\(994\) | 8.57734 | + | 23.5660i | 0.272057 | + | 0.747470i | ||||
\(995\) | 22.6266 | + | 54.8622i | 0.717311 | + | 1.73925i | ||||
\(996\) | 8.28767 | + | 22.6155i | 0.262605 | + | 0.716601i | ||||
\(997\) | 1.24022 | + | 14.1758i | 0.0392783 | + | 0.448953i | 0.990213 | + | 0.139562i | \(0.0445695\pi\) |
−0.950935 | + | 0.309391i | \(0.899875\pi\) | |||||||
\(998\) | 3.06924 | + | 35.0816i | 0.0971551 | + | 1.11049i | ||||
\(999\) | 0.398641 | + | 60.5190i | 0.0126125 | + | 1.91474i |
(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 | 570.2.bi.a.557.33 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.557.8 | yes | 480 | |
5.3 | odd | 4 | inner | 570.2.bi.a.443.3 | yes | 480 | |
15.8 | even | 4 | inner | 570.2.bi.a.443.38 | yes | 480 | |
19.16 | even | 9 | inner | 570.2.bi.a.377.38 | yes | 480 | |
57.35 | odd | 18 | inner | 570.2.bi.a.377.3 | yes | 480 | |
95.73 | odd | 36 | inner | 570.2.bi.a.263.8 | ✓ | 480 | |
285.263 | even | 36 | inner | 570.2.bi.a.263.33 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.263.8 | ✓ | 480 | 95.73 | odd | 36 | inner | |
570.2.bi.a.263.33 | yes | 480 | 285.263 | even | 36 | inner | |
570.2.bi.a.377.3 | yes | 480 | 57.35 | odd | 18 | inner | |
570.2.bi.a.377.38 | yes | 480 | 19.16 | even | 9 | inner | |
570.2.bi.a.443.3 | yes | 480 | 5.3 | odd | 4 | inner | |
570.2.bi.a.443.38 | yes | 480 | 15.8 | even | 4 | inner | |
570.2.bi.a.557.8 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.557.33 | yes | 480 | 1.1 | even | 1 | trivial |