Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(13,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.t (of order \(18\), degree \(6\), 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: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 157.19 | ||
Character | \(\chi\) | \(=\) | 216.157 |
Dual form | 216.2.t.a.205.19 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.138542 | − | 1.40741i | 0.0979640 | − | 0.995190i | ||||
\(3\) | 0.123826 | + | 1.72762i | 0.0714909 | + | 0.997441i | ||||
\(4\) | −1.96161 | − | 0.389971i | −0.980806 | − | 0.194986i | ||||
\(5\) | 0.608623 | + | 1.67218i | 0.272184 | + | 0.747820i | 0.998190 | + | 0.0601320i | \(0.0191521\pi\) |
−0.726006 | + | 0.687688i | \(0.758626\pi\) | |||||||
\(6\) | 2.44863 | + | 0.0650739i | 0.999647 | + | 0.0265663i | ||||
\(7\) | 0.408085 | + | 2.31436i | 0.154242 | + | 0.874748i | 0.959476 | + | 0.281791i | \(0.0909284\pi\) |
−0.805234 | + | 0.592957i | \(0.797960\pi\) | |||||||
\(8\) | −0.820615 | + | 2.70677i | −0.290131 | + | 0.956987i | ||||
\(9\) | −2.96933 | + | 0.427848i | −0.989778 | + | 0.142616i | ||||
\(10\) | 2.43776 | − | 0.624915i | 0.770887 | − | 0.197616i | ||||
\(11\) | −0.860398 | + | 2.36392i | −0.259420 | + | 0.712750i | 0.739784 | + | 0.672845i | \(0.234928\pi\) |
−0.999203 | + | 0.0399051i | \(0.987294\pi\) | |||||||
\(12\) | 0.430823 | − | 3.43721i | 0.124368 | − | 0.992236i | ||||
\(13\) | 0.359719 | − | 0.428697i | 0.0997682 | − | 0.118899i | −0.713850 | − | 0.700299i | \(-0.753050\pi\) |
0.813618 | + | 0.581399i | \(0.197495\pi\) | |||||||
\(14\) | 3.31380 | − | 0.253707i | 0.885650 | − | 0.0678060i | ||||
\(15\) | −2.81352 | + | 1.25853i | −0.726448 | + | 0.324950i | ||||
\(16\) | 3.69585 | + | 1.52994i | 0.923961 | + | 0.382486i | ||||
\(17\) | 1.49770 | − | 2.59409i | 0.363245 | − | 0.629158i | −0.625248 | − | 0.780426i | \(-0.715002\pi\) |
0.988493 | + | 0.151268i | \(0.0483356\pi\) | |||||||
\(18\) | 0.190780 | + | 4.23835i | 0.0449673 | + | 0.998988i | ||||
\(19\) | 6.64437 | − | 3.83613i | 1.52432 | − | 0.880068i | 0.524737 | − | 0.851264i | \(-0.324164\pi\) |
0.999585 | − | 0.0288032i | \(-0.00916963\pi\) | |||||||
\(20\) | −0.541781 | − | 3.51751i | −0.121146 | − | 0.786539i | ||||
\(21\) | −3.94781 | + | 0.991593i | −0.861483 | + | 0.216383i | ||||
\(22\) | 3.20781 | + | 1.53844i | 0.683908 | + | 0.327996i | ||||
\(23\) | −1.12812 | + | 6.39788i | −0.235229 | + | 1.33405i | 0.606902 | + | 0.794777i | \(0.292412\pi\) |
−0.842131 | + | 0.539273i | \(0.818699\pi\) | |||||||
\(24\) | −4.77788 | − | 1.08254i | −0.975280 | − | 0.220973i | ||||
\(25\) | 1.40447 | − | 1.17849i | 0.280894 | − | 0.235698i | ||||
\(26\) | −0.553516 | − | 0.565665i | −0.108553 | − | 0.110936i | ||||
\(27\) | −1.10684 | − | 5.07690i | −0.213011 | − | 0.977050i | ||||
\(28\) | 0.102031 | − | 4.69903i | 0.0192820 | − | 0.888033i | ||||
\(29\) | −5.22169 | − | 6.22297i | −0.969643 | − | 1.15558i | −0.987798 | − | 0.155741i | \(-0.950224\pi\) |
0.0181545 | − | 0.999835i | \(-0.494221\pi\) | |||||||
\(30\) | 1.38147 | + | 4.13414i | 0.252221 | + | 0.754787i | ||||
\(31\) | −0.643875 | + | 3.65160i | −0.115643 | + | 0.655846i | 0.870786 | + | 0.491662i | \(0.163610\pi\) |
−0.986430 | + | 0.164184i | \(0.947501\pi\) | |||||||
\(32\) | 2.66529 | − | 4.98961i | 0.471161 | − | 0.882047i | ||||
\(33\) | −4.19050 | − | 1.19372i | −0.729472 | − | 0.207801i | ||||
\(34\) | −3.44345 | − | 2.46726i | −0.590547 | − | 0.423132i | ||||
\(35\) | −3.62166 | + | 2.09096i | −0.612172 | + | 0.353438i | ||||
\(36\) | 5.99153 | + | 0.318683i | 0.998588 | + | 0.0531139i | ||||
\(37\) | 4.07450 | + | 2.35241i | 0.669843 | + | 0.386734i | 0.796017 | − | 0.605274i | \(-0.206936\pi\) |
−0.126174 | + | 0.992008i | \(0.540270\pi\) | |||||||
\(38\) | −4.47848 | − | 9.88282i | −0.726506 | − | 1.60320i | ||||
\(39\) | 0.785167 | + | 0.568374i | 0.125727 | + | 0.0910127i | ||||
\(40\) | −5.02564 | + | 0.275186i | −0.794623 | + | 0.0435107i | ||||
\(41\) | −5.67863 | − | 4.76494i | −0.886853 | − | 0.744158i | 0.0807232 | − | 0.996737i | \(-0.474277\pi\) |
−0.967576 | + | 0.252578i | \(0.918721\pi\) | |||||||
\(42\) | 0.848642 | + | 5.69357i | 0.130948 | + | 0.878537i | ||||
\(43\) | 0.928888 | − | 2.55210i | 0.141654 | − | 0.389191i | −0.848496 | − | 0.529202i | \(-0.822491\pi\) |
0.990150 | + | 0.140011i | \(0.0447136\pi\) | |||||||
\(44\) | 2.60963 | − | 4.30157i | 0.393416 | − | 0.648486i | ||||
\(45\) | −2.52264 | − | 4.70485i | −0.376053 | − | 0.701358i | ||||
\(46\) | 8.84815 | + | 2.47410i | 1.30459 | + | 0.364786i | ||||
\(47\) | 0.0919295 | + | 0.521358i | 0.0134093 | + | 0.0760479i | 0.990778 | − | 0.135495i | \(-0.0432624\pi\) |
−0.977369 | + | 0.211543i | \(0.932151\pi\) | |||||||
\(48\) | −2.18552 | + | 6.57446i | −0.315453 | + | 0.948941i | ||||
\(49\) | 1.38810 | − | 0.505226i | 0.198300 | − | 0.0721751i | ||||
\(50\) | −1.46404 | − | 2.13994i | −0.207047 | − | 0.302633i | ||||
\(51\) | 4.66705 | + | 2.26623i | 0.653517 | + | 0.317336i | ||||
\(52\) | −0.872809 | + | 0.700657i | −0.121037 | + | 0.0971636i | ||||
\(53\) | 6.39371i | 0.878244i | 0.898427 | + | 0.439122i | \(0.144710\pi\) | ||||
−0.898427 | + | 0.439122i | \(0.855290\pi\) | |||||||
\(54\) | −7.29863 | + | 0.854412i | −0.993218 | + | 0.116271i | ||||
\(55\) | −4.47656 | −0.603619 | ||||||||
\(56\) | −6.59933 | − | 0.794612i | −0.881872 | − | 0.106184i | ||||
\(57\) | 7.45011 | + | 11.0039i | 0.986791 | + | 1.45750i | ||||
\(58\) | −9.48170 | + | 6.48692i | −1.24501 | + | 0.851775i | ||||
\(59\) | 2.87131 | + | 7.88886i | 0.373813 | + | 1.02704i | 0.973874 | + | 0.227088i | \(0.0729206\pi\) |
−0.600061 | + | 0.799954i | \(0.704857\pi\) | |||||||
\(60\) | 6.00983 | − | 1.37155i | 0.775865 | − | 0.177066i | ||||
\(61\) | 0.716954 | − | 0.126418i | 0.0917966 | − | 0.0161862i | −0.127561 | − | 0.991831i | \(-0.540715\pi\) |
0.219358 | + | 0.975644i | \(0.429604\pi\) | |||||||
\(62\) | 5.05009 | + | 1.41210i | 0.641363 | + | 0.179336i | ||||
\(63\) | −2.20194 | − | 6.69753i | −0.277418 | − | 0.843809i | ||||
\(64\) | −6.65318 | − | 4.44243i | −0.831648 | − | 0.555304i | ||||
\(65\) | 0.935790 | + | 0.340600i | 0.116070 | + | 0.0422462i | ||||
\(66\) | −2.26062 | + | 5.73237i | −0.278263 | + | 0.705606i | ||||
\(67\) | 3.68574 | − | 4.39249i | 0.450285 | − | 0.536628i | −0.492375 | − | 0.870383i | \(-0.663871\pi\) |
0.942660 | + | 0.333755i | \(0.108316\pi\) | |||||||
\(68\) | −3.94952 | + | 4.50453i | −0.478949 | + | 0.546255i | ||||
\(69\) | −11.1928 | − | 1.15674i | −1.34745 | − | 0.139255i | ||||
\(70\) | 2.44110 | + | 5.38685i | 0.291767 | + | 0.643851i | ||||
\(71\) | 7.38597 | − | 12.7929i | 0.876553 | − | 1.51823i | 0.0214546 | − | 0.999770i | \(-0.493170\pi\) |
0.855099 | − | 0.518465i | \(-0.173496\pi\) | |||||||
\(72\) | 1.27860 | − | 8.38840i | 0.150684 | − | 0.988582i | ||||
\(73\) | −5.98642 | − | 10.3688i | −0.700657 | − | 1.21357i | −0.968236 | − | 0.250038i | \(-0.919557\pi\) |
0.267579 | − | 0.963536i | \(-0.413776\pi\) | |||||||
\(74\) | 3.87530 | − | 5.40859i | 0.450495 | − | 0.628735i | ||||
\(75\) | 2.20989 | + | 2.28046i | 0.255176 | + | 0.263325i | ||||
\(76\) | −14.5296 | + | 4.93388i | −1.66666 | + | 0.565955i | ||||
\(77\) | −5.82210 | − | 1.02659i | −0.663490 | − | 0.116991i | ||||
\(78\) | 0.908715 | − | 1.02631i | 0.102892 | − | 0.116207i | ||||
\(79\) | −8.94860 | + | 7.50876i | −1.00680 | + | 0.844802i | −0.987911 | − | 0.155020i | \(-0.950456\pi\) |
−0.0188843 | + | 0.999822i | \(0.506011\pi\) | |||||||
\(80\) | −0.308962 | + | 7.11126i | −0.0345430 | + | 0.795064i | ||||
\(81\) | 8.63389 | − | 2.54084i | 0.959321 | − | 0.282316i | ||||
\(82\) | −7.49296 | + | 7.33203i | −0.827458 | + | 0.809687i | ||||
\(83\) | 4.81848 | + | 5.74244i | 0.528897 | + | 0.630315i | 0.962660 | − | 0.270712i | \(-0.0872592\pi\) |
−0.433764 | + | 0.901027i | \(0.642815\pi\) | |||||||
\(84\) | 8.13076 | − | 0.405591i | 0.887139 | − | 0.0442536i | ||||
\(85\) | 5.24930 | + | 0.925594i | 0.569367 | + | 0.100395i | ||||
\(86\) | −3.46316 | − | 1.66090i | −0.373442 | − | 0.179099i | ||||
\(87\) | 10.1043 | − | 9.79165i | 1.08330 | − | 1.04978i | ||||
\(88\) | −5.69254 | − | 4.26877i | −0.606826 | − | 0.455052i | ||||
\(89\) | −1.16774 | − | 2.02259i | −0.123780 | − | 0.214394i | 0.797475 | − | 0.603352i | \(-0.206168\pi\) |
−0.921255 | + | 0.388958i | \(0.872835\pi\) | |||||||
\(90\) | −6.97116 | + | 2.89857i | −0.734824 | + | 0.305536i | ||||
\(91\) | 1.13896 | + | 0.657577i | 0.119395 | + | 0.0689328i | ||||
\(92\) | 4.70792 | − | 12.1102i | 0.490834 | − | 1.26258i | ||||
\(93\) | −6.38830 | − | 0.660209i | −0.662435 | − | 0.0684605i | ||||
\(94\) | 0.746501 | − | 0.0571526i | 0.0769957 | − | 0.00589484i | ||||
\(95\) | 10.4586 | + | 8.77580i | 1.07303 | + | 0.900378i | ||||
\(96\) | 8.95018 | + | 3.98676i | 0.913474 | + | 0.406897i | ||||
\(97\) | 13.8915 | + | 5.05610i | 1.41047 | + | 0.513369i | 0.931268 | − | 0.364336i | \(-0.118704\pi\) |
0.479202 | + | 0.877705i | \(0.340926\pi\) | |||||||
\(98\) | −0.518751 | − | 2.02362i | −0.0524017 | − | 0.204416i | ||||
\(99\) | 1.54341 | − | 7.38740i | 0.155119 | − | 0.742461i | ||||
\(100\) | −3.21460 | + | 1.76404i | −0.321460 | + | 0.176404i | ||||
\(101\) | 12.0747 | − | 2.12910i | 1.20148 | − | 0.211853i | 0.463142 | − | 0.886284i | \(-0.346722\pi\) |
0.738338 | + | 0.674431i | \(0.235611\pi\) | |||||||
\(102\) | 3.83610 | − | 6.25448i | 0.379831 | − | 0.619286i | ||||
\(103\) | 10.8828 | − | 3.96103i | 1.07232 | − | 0.390292i | 0.255276 | − | 0.966868i | \(-0.417834\pi\) |
0.817043 | + | 0.576576i | \(0.195612\pi\) | |||||||
\(104\) | 0.865191 | + | 1.32547i | 0.0848390 | + | 0.129973i | ||||
\(105\) | −4.06085 | − | 5.99793i | −0.396298 | − | 0.585338i | ||||
\(106\) | 8.99858 | + | 0.885798i | 0.874020 | + | 0.0860363i | ||||
\(107\) | 3.95255i | 0.382107i | 0.981580 | + | 0.191054i | \(0.0611904\pi\) | ||||
−0.981580 | + | 0.191054i | \(0.938810\pi\) | |||||||
\(108\) | 0.191343 | + | 10.3905i | 0.0184119 | + | 0.999830i | ||||
\(109\) | − | 5.12938i | − | 0.491305i | −0.969358 | − | 0.245653i | \(-0.920998\pi\) | ||
0.969358 | − | 0.245653i | \(-0.0790023\pi\) | |||||||
\(110\) | −0.620191 | + | 6.30035i | −0.0591329 | + | 0.600715i | ||||
\(111\) | −3.55954 | + | 7.33047i | −0.337857 | + | 0.695777i | ||||
\(112\) | −2.03263 | + | 9.17788i | −0.192065 | + | 0.867228i | ||||
\(113\) | −9.37151 | + | 3.41095i | −0.881597 | + | 0.320875i | −0.742854 | − | 0.669453i | \(-0.766528\pi\) |
−0.138743 | + | 0.990328i | \(0.544306\pi\) | |||||||
\(114\) | 16.5192 | − | 8.96086i | 1.54716 | − | 0.839261i | ||||
\(115\) | −11.3850 | + | 2.00748i | −1.06165 | + | 0.187198i | ||||
\(116\) | 7.81615 | + | 14.2434i | 0.725712 | + | 1.32246i | ||||
\(117\) | −0.884710 | + | 1.42685i | −0.0817915 | + | 0.131912i | ||||
\(118\) | 11.5007 | − | 2.94818i | 1.05872 | − | 0.271402i | ||||
\(119\) | 6.61485 | + | 2.40761i | 0.606382 | + | 0.220705i | ||||
\(120\) | −1.09772 | − | 8.64831i | −0.100208 | − | 0.789479i | ||||
\(121\) | 3.57864 | + | 3.00283i | 0.325331 | + | 0.272985i | ||||
\(122\) | −0.0785944 | − | 1.02656i | −0.00711560 | − | 0.0929407i | ||||
\(123\) | 7.52884 | − | 10.4005i | 0.678852 | − | 0.937785i | ||||
\(124\) | 2.68705 | − | 6.91192i | 0.241304 | − | 0.620709i | ||||
\(125\) | 10.5309 | + | 6.08000i | 0.941909 | + | 0.543812i | ||||
\(126\) | −9.73123 | + | 2.17114i | −0.866927 | + | 0.193421i | ||||
\(127\) | −10.0971 | − | 17.4887i | −0.895973 | − | 1.55187i | −0.832596 | − | 0.553880i | \(-0.813147\pi\) |
−0.0633763 | − | 0.997990i | \(-0.520187\pi\) | |||||||
\(128\) | −7.17407 | + | 8.74830i | −0.634104 | + | 0.773248i | ||||
\(129\) | 4.52407 | + | 1.28875i | 0.398322 | + | 0.113468i | ||||
\(130\) | 0.609010 | − | 1.26985i | 0.0534137 | − | 0.111374i | ||||
\(131\) | −13.3484 | − | 2.35368i | −1.16625 | − | 0.205642i | −0.443192 | − | 0.896427i | \(-0.646154\pi\) |
−0.723060 | + | 0.690785i | \(0.757265\pi\) | |||||||
\(132\) | 7.75461 | + | 3.97580i | 0.674953 | + | 0.346049i | ||||
\(133\) | 11.5897 | + | 13.8120i | 1.00495 | + | 1.19765i | ||||
\(134\) | −5.67141 | − | 5.79589i | −0.489935 | − | 0.500689i | ||||
\(135\) | 7.81583 | − | 4.94074i | 0.672679 | − | 0.425232i | ||||
\(136\) | 5.79256 | + | 6.18266i | 0.496708 | + | 0.530159i | ||||
\(137\) | 6.18657 | − | 5.19115i | 0.528555 | − | 0.443510i | −0.339047 | − | 0.940769i | \(-0.610105\pi\) |
0.867602 | + | 0.497259i | \(0.165660\pi\) | |||||||
\(138\) | −3.17867 | + | 15.5926i | −0.270587 | + | 1.32733i | ||||
\(139\) | −18.8808 | − | 3.32919i | −1.60145 | − | 0.282378i | −0.699633 | − | 0.714502i | \(-0.746653\pi\) |
−0.901814 | + | 0.432124i | \(0.857764\pi\) | |||||||
\(140\) | 7.91970 | − | 2.68932i | 0.669337 | − | 0.227289i | ||||
\(141\) | −0.889325 | + | 0.223377i | −0.0748947 | + | 0.0188117i | ||||
\(142\) | −16.9816 | − | 12.1674i | −1.42506 | − | 1.02107i | ||||
\(143\) | 0.703905 | + | 1.21920i | 0.0588635 | + | 0.101955i | ||||
\(144\) | −11.6288 | − | 2.96166i | −0.969065 | − | 0.246805i | ||||
\(145\) | 7.22786 | − | 12.5190i | 0.600241 | − | 1.03965i | ||||
\(146\) | −15.4225 | + | 6.98884i | −1.27638 | + | 0.578400i | ||||
\(147\) | 1.04472 | + | 2.33554i | 0.0861670 | + | 0.192632i | ||||
\(148\) | −7.07521 | − | 6.20346i | −0.581579 | − | 0.509921i | ||||
\(149\) | 0.614187 | − | 0.731960i | 0.0503162 | − | 0.0599645i | −0.740299 | − | 0.672277i | \(-0.765316\pi\) |
0.790616 | + | 0.612313i | \(0.209761\pi\) | |||||||
\(150\) | 3.51571 | − | 2.79428i | 0.287056 | − | 0.228152i | ||||
\(151\) | −1.04563 | − | 0.380578i | −0.0850921 | − | 0.0309710i | 0.299123 | − | 0.954214i | \(-0.403306\pi\) |
−0.384215 | + | 0.923243i | \(0.625528\pi\) | |||||||
\(152\) | 4.93103 | + | 21.1327i | 0.399960 | + | 1.71409i | ||||
\(153\) | −3.33729 | + | 8.34349i | −0.269804 | + | 0.674532i | ||||
\(154\) | −2.25144 | + | 8.05186i | −0.181426 | + | 0.648837i | ||||
\(155\) | −6.49799 | + | 1.14577i | −0.521931 | + | 0.0920306i | ||||
\(156\) | −1.31854 | − | 1.42112i | −0.105568 | − | 0.113781i | ||||
\(157\) | 2.45899 | + | 6.75603i | 0.196249 | + | 0.539190i | 0.998314 | − | 0.0580471i | \(-0.0184873\pi\) |
−0.802065 | + | 0.597237i | \(0.796265\pi\) | |||||||
\(158\) | 9.32816 | + | 13.6346i | 0.742109 | + | 1.08471i | ||||
\(159\) | −11.0459 | + | 0.791707i | −0.875997 | + | 0.0627864i | ||||
\(160\) | 9.96567 | + | 1.42004i | 0.787855 | + | 0.112264i | ||||
\(161\) | −15.2674 | −1.20324 | ||||||||
\(162\) | −2.37986 | − | 12.5035i | −0.186979 | − | 0.982364i | ||||
\(163\) | 0.783193i | 0.0613444i | 0.999529 | + | 0.0306722i | \(0.00976480\pi\) | ||||
−0.999529 | + | 0.0306722i | \(0.990235\pi\) | |||||||
\(164\) | 9.28109 | + | 11.5615i | 0.724731 | + | 0.902798i | ||||
\(165\) | −0.554313 | − | 7.73378i | −0.0431532 | − | 0.602074i | ||||
\(166\) | 8.74953 | − | 5.98601i | 0.679096 | − | 0.464605i | ||||
\(167\) | −13.3409 | + | 4.85570i | −1.03235 | + | 0.375745i | −0.801976 | − | 0.597356i | \(-0.796218\pi\) |
−0.230376 | + | 0.973102i | \(0.573996\pi\) | |||||||
\(168\) | 0.555619 | − | 11.4995i | 0.0428670 | − | 0.887207i | ||||
\(169\) | 2.20304 | + | 12.4941i | 0.169465 | + | 0.961083i | ||||
\(170\) | 2.02994 | − | 7.25969i | 0.155689 | − | 0.556793i | ||||
\(171\) | −18.0881 | + | 14.2335i | −1.38323 | + | 1.08846i | ||||
\(172\) | −2.81736 | + | 4.64399i | −0.214822 | + | 0.354101i | ||||
\(173\) | 4.11676 | − | 11.3107i | 0.312991 | − | 0.859937i | −0.679058 | − | 0.734085i | \(-0.737611\pi\) |
0.992049 | − | 0.125852i | \(-0.0401664\pi\) | |||||||
\(174\) | −12.3810 | − | 15.5775i | −0.938602 | − | 1.18093i | ||||
\(175\) | 3.30060 | + | 2.76953i | 0.249502 | + | 0.209357i | ||||
\(176\) | −6.79657 | + | 7.42033i | −0.512311 | + | 0.559329i | ||||
\(177\) | −13.2734 | + | 5.93737i | −0.997690 | + | 0.446280i | ||||
\(178\) | −3.00839 | + | 1.36328i | −0.225488 | + | 0.102182i | ||||
\(179\) | −6.41741 | − | 3.70509i | −0.479660 | − | 0.276932i | 0.240615 | − | 0.970621i | \(-0.422651\pi\) |
−0.720275 | + | 0.693689i | \(0.755984\pi\) | |||||||
\(180\) | 3.11369 | + | 10.2129i | 0.232080 | + | 0.761221i | ||||
\(181\) | −12.0116 | + | 6.93490i | −0.892815 | + | 0.515467i | −0.874862 | − | 0.484372i | \(-0.839048\pi\) |
−0.0179527 | + | 0.999839i | \(0.505715\pi\) | |||||||
\(182\) | 1.08327 | − | 1.51188i | 0.0802977 | − | 0.112068i | ||||
\(183\) | 0.307180 | + | 1.22297i | 0.0227074 | + | 0.0904045i | ||||
\(184\) | −16.3918 | − | 8.30375i | −1.20842 | − | 0.612161i | ||||
\(185\) | −1.45382 | + | 8.24501i | −0.106887 | + | 0.606185i | ||||
\(186\) | −1.81423 | + | 8.89949i | −0.133026 | + | 0.652542i | ||||
\(187\) | 4.84361 | + | 5.77239i | 0.354200 | + | 0.422119i | ||||
\(188\) | 0.0229845 | − | 1.05855i | 0.00167632 | − | 0.0772029i | ||||
\(189\) | 11.2981 | − | 4.63343i | 0.821817 | − | 0.337033i | ||||
\(190\) | 13.8001 | − | 13.5037i | 1.00117 | − | 0.979663i | ||||
\(191\) | −6.35332 | + | 5.33107i | −0.459710 | + | 0.385743i | −0.843024 | − | 0.537875i | \(-0.819227\pi\) |
0.383314 | + | 0.923618i | \(0.374783\pi\) | |||||||
\(192\) | 6.85099 | − | 12.0442i | 0.494428 | − | 0.869219i | ||||
\(193\) | 1.66122 | − | 9.42126i | 0.119577 | − | 0.678157i | −0.864804 | − | 0.502109i | \(-0.832558\pi\) |
0.984382 | − | 0.176048i | \(-0.0563314\pi\) | |||||||
\(194\) | 9.04056 | − | 18.8506i | 0.649075 | − | 1.35339i | ||||
\(195\) | −0.472552 | + | 1.65886i | −0.0338401 | + | 0.118794i | ||||
\(196\) | −2.91993 | + | 0.449740i | −0.208566 | + | 0.0321243i | ||||
\(197\) | 12.5364 | − | 7.23789i | 0.893181 | − | 0.515678i | 0.0181995 | − | 0.999834i | \(-0.494207\pi\) |
0.874982 | + | 0.484156i | \(0.160873\pi\) | |||||||
\(198\) | −10.1833 | − | 3.19568i | −0.723694 | − | 0.227107i | ||||
\(199\) | −13.2319 | + | 22.9183i | −0.937983 | + | 1.62463i | −0.168758 | + | 0.985658i | \(0.553976\pi\) |
−0.769225 | + | 0.638977i | \(0.779358\pi\) | |||||||
\(200\) | 2.03737 | + | 4.76866i | 0.144064 | + | 0.337195i | ||||
\(201\) | 8.04494 | + | 5.82365i | 0.567446 | + | 0.410768i | ||||
\(202\) | −1.32366 | − | 17.2891i | −0.0931325 | − | 1.21645i | ||||
\(203\) | 12.2713 | − | 14.6244i | 0.861278 | − | 1.02643i | ||||
\(204\) | −8.27117 | − | 6.26548i | −0.579098 | − | 0.438672i | ||||
\(205\) | 4.51167 | − | 12.3957i | 0.315109 | − | 0.865755i | ||||
\(206\) | −4.06707 | − | 15.8654i | −0.283366 | − | 1.10540i | ||||
\(207\) | 0.612444 | − | 19.4801i | 0.0425678 | − | 1.35396i | ||||
\(208\) | 1.98535 | − | 1.03405i | 0.137659 | − | 0.0716982i | ||||
\(209\) | 3.35151 | + | 19.0074i | 0.231829 | + | 1.31477i | ||||
\(210\) | −9.00415 | + | 4.88431i | −0.621345 | + | 0.337050i | ||||
\(211\) | −6.13970 | − | 16.8687i | −0.422674 | − | 1.16129i | −0.950170 | − | 0.311731i | \(-0.899091\pi\) |
0.527496 | − | 0.849558i | \(-0.323131\pi\) | |||||||
\(212\) | 2.49336 | − | 12.5420i | 0.171245 | − | 0.861387i | ||||
\(213\) | 23.0158 | + | 11.1761i | 1.57702 | + | 0.765771i | ||||
\(214\) | 5.56286 | + | 0.547594i | 0.380269 | + | 0.0374327i | ||||
\(215\) | 4.83290 | 0.329601 | ||||||||
\(216\) | 14.6503 | + | 1.17023i | 0.996825 | + | 0.0796240i | ||||
\(217\) | −8.71388 | −0.591537 | ||||||||
\(218\) | −7.21915 | − | 0.710634i | −0.488942 | − | 0.0481302i | ||||
\(219\) | 17.1720 | − | 11.6262i | 1.16038 | − | 0.785624i | ||||
\(220\) | 8.78127 | + | 1.74573i | 0.592033 | + | 0.117697i | ||||
\(221\) | −0.573326 | − | 1.57520i | −0.0385661 | − | 0.105959i | ||||
\(222\) | 9.82384 | + | 6.02532i | 0.659333 | + | 0.404393i | ||||
\(223\) | −3.13816 | − | 17.7974i | −0.210147 | − | 1.19180i | −0.889132 | − | 0.457651i | \(-0.848691\pi\) |
0.678985 | − | 0.734152i | \(-0.262420\pi\) | |||||||
\(224\) | 12.6354 | + | 4.13227i | 0.844241 | + | 0.276099i | ||||
\(225\) | −3.66612 | + | 4.10023i | −0.244408 | + | 0.273348i | ||||
\(226\) | 3.50226 | + | 13.6621i | 0.232967 | + | 0.908791i | ||||
\(227\) | −2.07372 | + | 5.69750i | −0.137638 | + | 0.378156i | −0.989292 | − | 0.145947i | \(-0.953377\pi\) |
0.851655 | + | 0.524103i | \(0.175599\pi\) | |||||||
\(228\) | −10.3230 | − | 24.4908i | −0.683658 | − | 1.62194i | ||||
\(229\) | −14.8939 | + | 17.7498i | −0.984215 | + | 1.17294i | 0.000716763 | 1.00000i | \(0.499772\pi\) | |
−0.984932 | + | 0.172942i | \(0.944673\pi\) | |||||||
\(230\) | 1.24805 | + | 16.3015i | 0.0822940 | + | 1.07489i | ||||
\(231\) | 1.05264 | − | 10.1855i | 0.0692583 | − | 0.670156i | ||||
\(232\) | 21.1291 | − | 9.02724i | 1.38720 | − | 0.592667i | ||||
\(233\) | 4.63643 | − | 8.03053i | 0.303742 | − | 0.526097i | −0.673238 | − | 0.739426i | \(-0.735097\pi\) |
0.976981 | + | 0.213328i | \(0.0684305\pi\) | |||||||
\(234\) | 1.88559 | + | 1.44283i | 0.123265 | + | 0.0943207i | ||||
\(235\) | −0.815853 | + | 0.471033i | −0.0532204 | + | 0.0307268i | ||||
\(236\) | −2.55597 | − | 16.5946i | −0.166380 | − | 1.08022i | ||||
\(237\) | −14.0803 | − | 14.5300i | −0.914617 | − | 0.943824i | ||||
\(238\) | 4.30493 | − | 8.97626i | 0.279047 | − | 0.581844i | ||||
\(239\) | −1.63200 | + | 9.25552i | −0.105565 | + | 0.598690i | 0.885428 | + | 0.464777i | \(0.153865\pi\) |
−0.990993 | + | 0.133913i | \(0.957246\pi\) | |||||||
\(240\) | −12.3238 | + | 0.346790i | −0.795499 | + | 0.0223852i | ||||
\(241\) | −20.4723 | + | 17.1783i | −1.31873 | + | 1.10655i | −0.332163 | + | 0.943222i | \(0.607778\pi\) |
−0.986572 | + | 0.163328i | \(0.947777\pi\) | |||||||
\(242\) | 4.72201 | − | 4.62060i | 0.303543 | − | 0.297023i | ||||
\(243\) | 5.45871 | + | 14.6015i | 0.350176 | + | 0.936684i | ||||
\(244\) | −1.45569 | − | 0.0316075i | −0.0931907 | − | 0.00202347i | ||||
\(245\) | 1.68965 | + | 2.01365i | 0.107948 | + | 0.128647i | ||||
\(246\) | −13.5948 | − | 12.0371i | −0.866771 | − | 0.767456i | ||||
\(247\) | 0.745572 | − | 4.22835i | 0.0474396 | − | 0.269043i | ||||
\(248\) | −9.35565 | − | 4.73938i | −0.594084 | − | 0.300951i | ||||
\(249\) | −9.32409 | + | 9.03556i | −0.590890 | + | 0.572605i | ||||
\(250\) | 10.0160 | − | 13.9789i | 0.633469 | − | 0.884105i | ||||
\(251\) | −0.101849 | + | 0.0588028i | −0.00642868 | + | 0.00371160i | −0.503211 | − | 0.864164i | \(-0.667848\pi\) |
0.496782 | + | 0.867875i | \(0.334515\pi\) | |||||||
\(252\) | 1.70750 | + | 13.9966i | 0.107563 | + | 0.881705i | ||||
\(253\) | −14.1535 | − | 8.17150i | −0.889821 | − | 0.513738i | ||||
\(254\) | −26.0126 | + | 11.7879i | −1.63218 | + | 0.739636i | ||||
\(255\) | −0.949074 | + | 9.18341i | −0.0594333 | + | 0.575087i | ||||
\(256\) | 11.3185 | + | 11.3089i | 0.707409 | + | 0.706804i | ||||
\(257\) | −7.73634 | − | 6.49156i | −0.482580 | − | 0.404932i | 0.368778 | − | 0.929517i | \(-0.379776\pi\) |
−0.851358 | + | 0.524585i | \(0.824221\pi\) | |||||||
\(258\) | 2.44057 | − | 6.18869i | 0.151943 | − | 0.385291i | ||||
\(259\) | −3.78160 | + | 10.3899i | −0.234977 | + | 0.645594i | ||||
\(260\) | −1.70283 | − | 1.03306i | −0.105605 | − | 0.0640674i | ||||
\(261\) | 18.1674 | + | 16.2440i | 1.12454 | + | 1.00548i | ||||
\(262\) | −5.16190 | + | 18.4606i | −0.318903 | + | 1.14050i | ||||
\(263\) | −1.42729 | − | 8.09455i | −0.0880104 | − | 0.499132i | −0.996666 | − | 0.0815860i | \(-0.974001\pi\) |
0.908656 | − | 0.417546i | \(-0.137110\pi\) | |||||||
\(264\) | 6.66992 | − | 10.3631i | 0.410505 | − | 0.637806i | ||||
\(265\) | −10.6914 | + | 3.89136i | −0.656769 | + | 0.239044i | ||||
\(266\) | 21.0448 | − | 14.3979i | 1.29034 | − | 0.882790i | ||||
\(267\) | 3.34966 | − | 2.26786i | 0.204996 | − | 0.138791i | ||||
\(268\) | −8.94293 | + | 7.17903i | −0.546277 | + | 0.438529i | ||||
\(269\) | − | 16.5496i | − | 1.00905i | −0.863398 | − | 0.504524i | \(-0.831668\pi\) | ||
0.863398 | − | 0.504524i | \(-0.168332\pi\) | |||||||
\(270\) | −5.87084 | − | 11.6846i | −0.357288 | − | 0.711101i | ||||
\(271\) | 8.76275 | 0.532299 | 0.266150 | − | 0.963932i | \(-0.414249\pi\) | ||||
0.266150 | + | 0.963932i | \(0.414249\pi\) | |||||||
\(272\) | 9.50406 | − | 7.29595i | 0.576268 | − | 0.442382i | ||||
\(273\) | −0.995010 | + | 2.04911i | −0.0602208 | + | 0.124018i | ||||
\(274\) | −6.44898 | − | 9.42624i | −0.389597 | − | 0.569460i | ||||
\(275\) | 1.57746 | + | 4.33403i | 0.0951242 | + | 0.261352i | ||||
\(276\) | 21.5048 | + | 6.63393i | 1.29444 | + | 0.399316i | ||||
\(277\) | 5.89916 | − | 1.04018i | 0.354446 | − | 0.0624985i | 0.00640991 | − | 0.999979i | \(-0.497960\pi\) |
0.348036 | + | 0.937481i | \(0.386849\pi\) | |||||||
\(278\) | −7.30132 | + | 26.1118i | −0.437904 | + | 1.56608i | ||||
\(279\) | 0.349553 | − | 11.1183i | 0.0209272 | − | 0.665635i | ||||
\(280\) | −2.68777 | − | 11.5189i | −0.160625 | − | 0.688384i | ||||
\(281\) | 10.4464 | + | 3.80217i | 0.623179 | + | 0.226819i | 0.634260 | − | 0.773120i | \(-0.281305\pi\) |
−0.0110807 | + | 0.999939i | \(0.503527\pi\) | |||||||
\(282\) | 0.191174 | + | 1.28259i | 0.0113843 | + | 0.0763773i | ||||
\(283\) | 8.16295 | − | 9.72822i | 0.485237 | − | 0.578283i | −0.466763 | − | 0.884383i | \(-0.654580\pi\) |
0.951999 | + | 0.306100i | \(0.0990242\pi\) | |||||||
\(284\) | −19.4773 | + | 22.2143i | −1.15576 | + | 1.31818i | ||||
\(285\) | −13.8662 | + | 19.1551i | −0.821363 | + | 1.13465i | ||||
\(286\) | 1.81343 | − | 0.821773i | 0.107231 | − | 0.0485925i | ||||
\(287\) | 8.71044 | − | 15.0869i | 0.514161 | − | 0.890553i | ||||
\(288\) | −5.77934 | + | 15.9562i | −0.340551 | + | 0.940226i | ||||
\(289\) | 4.01381 | + | 6.95213i | 0.236107 | + | 0.408949i | ||||
\(290\) | −16.6181 | − | 11.9070i | −0.975846 | − | 0.699202i | ||||
\(291\) | −7.01488 | + | 24.6253i | −0.411220 | + | 1.44356i | ||||
\(292\) | 7.69950 | + | 22.6740i | 0.450579 | + | 1.32690i | ||||
\(293\) | −26.3005 | − | 4.63749i | −1.53649 | − | 0.270925i | −0.659601 | − | 0.751616i | \(-0.729275\pi\) |
−0.876890 | + | 0.480691i | \(0.840386\pi\) | |||||||
\(294\) | 3.43181 | − | 1.14678i | 0.200147 | − | 0.0668816i | ||||
\(295\) | −11.4440 | + | 9.60268i | −0.666297 | + | 0.559089i | ||||
\(296\) | −9.71103 | + | 9.09829i | −0.564442 | + | 0.528828i | ||||
\(297\) | 12.9537 | + | 1.75167i | 0.751651 | + | 0.101642i | ||||
\(298\) | −0.945078 | − | 0.965822i | −0.0547469 | − | 0.0559485i | ||||
\(299\) | 2.33694 | + | 2.78506i | 0.135149 | + | 0.161064i | ||||
\(300\) | −3.44563 | − | 5.33517i | −0.198934 | − | 0.308026i | ||||
\(301\) | 6.28555 | + | 1.10831i | 0.362293 | + | 0.0638821i | ||||
\(302\) | −0.680493 | + | 1.41890i | −0.0391580 | + | 0.0816488i | ||||
\(303\) | 5.17343 | + | 20.5969i | 0.297206 | + | 1.18326i | ||||
\(304\) | 30.4256 | − | 4.01222i | 1.74503 | − | 0.230117i | ||||
\(305\) | 0.647748 | + | 1.12193i | 0.0370900 | + | 0.0642417i | ||||
\(306\) | 11.2804 | + | 5.85286i | 0.644856 | + | 0.334586i | ||||
\(307\) | −4.31774 | − | 2.49285i | −0.246426 | − | 0.142274i | 0.371700 | − | 0.928353i | \(-0.378775\pi\) |
−0.618127 | + | 0.786078i | \(0.712108\pi\) | |||||||
\(308\) | 11.0204 | + | 4.28423i | 0.627943 | + | 0.244116i | ||||
\(309\) | 8.19073 | + | 18.3109i | 0.465955 | + | 1.04167i | ||||
\(310\) | 0.712327 | + | 9.30408i | 0.0404574 | + | 0.528436i | ||||
\(311\) | −12.4172 | − | 10.4193i | −0.704116 | − | 0.590824i | 0.218825 | − | 0.975764i | \(-0.429778\pi\) |
−0.922941 | + | 0.384940i | \(0.874222\pi\) | |||||||
\(312\) | −2.18278 | + | 1.65885i | −0.123575 | + | 0.0939138i | ||||
\(313\) | 12.8980 | + | 4.69448i | 0.729037 | + | 0.265348i | 0.679757 | − | 0.733437i | \(-0.262085\pi\) |
0.0492798 | + | 0.998785i | \(0.484307\pi\) | |||||||
\(314\) | 9.84919 | − | 2.52482i | 0.555822 | − | 0.142484i | ||||
\(315\) | 9.85930 | − | 7.75829i | 0.555508 | − | 0.437130i | ||||
\(316\) | 20.4819 | − | 11.2396i | 1.15220 | − | 0.632276i | ||||
\(317\) | −5.48493 | + | 0.967141i | −0.308064 | + | 0.0543200i | −0.325543 | − | 0.945527i | \(-0.605547\pi\) |
0.0174789 | + | 0.999847i | \(0.494436\pi\) | |||||||
\(318\) | −0.416064 | + | 15.6558i | −0.0233317 | + | 0.877934i | ||||
\(319\) | 19.2033 | − | 6.98945i | 1.07518 | − | 0.391334i | ||||
\(320\) | 3.37925 | − | 13.8291i | 0.188906 | − | 0.773068i | ||||
\(321\) | −6.82850 | + | 0.489427i | −0.381129 | + | 0.0273172i | ||||
\(322\) | −2.11517 | + | 21.4875i | −0.117874 | + | 1.19745i | ||||
\(323\) | − | 22.9814i | − | 1.27872i | ||||||
\(324\) | −17.9272 | + | 1.61718i | −0.995956 | + | 0.0898436i | ||||
\(325\) | − | 1.02602i | − | 0.0569132i | ||||||
\(326\) | 1.10227 | + | 0.108505i | 0.0610494 | + | 0.00600954i | ||||
\(327\) | 8.86161 | − | 0.635149i | 0.490048 | − | 0.0351238i | ||||
\(328\) | 17.5576 | − | 11.4606i | 0.969454 | − | 0.632803i | ||||
\(329\) | −1.16910 | + | 0.425517i | −0.0644545 | + | 0.0234595i | ||||
\(330\) | −10.9614 | − | 0.291307i | −0.603406 | − | 0.0160359i | ||||
\(331\) | −22.7828 | + | 4.01723i | −1.25226 | + | 0.220807i | −0.760162 | − | 0.649734i | \(-0.774880\pi\) |
−0.492097 | + | 0.870541i | \(0.663769\pi\) | |||||||
\(332\) | −7.21260 | − | 13.1435i | −0.395843 | − | 0.721344i | ||||
\(333\) | −13.1050 | − | 5.24184i | −0.718151 | − | 0.287251i | ||||
\(334\) | 4.98569 | + | 19.4489i | 0.272805 | + | 1.06420i | ||||
\(335\) | 9.58825 | + | 3.48984i | 0.523862 | + | 0.190670i | ||||
\(336\) | −16.1076 | − | 2.37515i | −0.878740 | − | 0.129575i | ||||
\(337\) | 3.50303 | + | 2.93939i | 0.190822 | + | 0.160119i | 0.733194 | − | 0.680020i | \(-0.238029\pi\) |
−0.542371 | + | 0.840139i | \(0.682473\pi\) | |||||||
\(338\) | 17.8895 | − | 1.36963i | 0.973062 | − | 0.0744982i | ||||
\(339\) | −7.05326 | − | 15.7680i | −0.383080 | − | 0.856402i | ||||
\(340\) | −9.93614 | − | 3.86273i | −0.538863 | − | 0.209486i | ||||
\(341\) | −8.07811 | − | 4.66390i | −0.437454 | − | 0.252564i | ||||
\(342\) | 17.5265 | + | 27.4293i | 0.947722 | + | 1.48321i | ||||
\(343\) | 9.96098 | + | 17.2529i | 0.537842 | + | 0.931570i | ||||
\(344\) | 6.14568 | + | 4.60857i | 0.331353 | + | 0.248478i | ||||
\(345\) | −4.87791 | − | 19.4203i | −0.262618 | − | 1.04556i | ||||
\(346\) | −15.3485 | − | 7.36098i | −0.825138 | − | 0.395729i | ||||
\(347\) | 17.5663 | + | 3.09741i | 0.943008 | + | 0.166278i | 0.623956 | − | 0.781459i | \(-0.285524\pi\) |
0.319052 | + | 0.947737i | \(0.396636\pi\) | |||||||
\(348\) | −23.6393 | + | 15.2670i | −1.26720 | + | 0.818399i | ||||
\(349\) | −11.1052 | − | 13.2347i | −0.594449 | − | 0.708436i | 0.382006 | − | 0.924160i | \(-0.375233\pi\) |
−0.976454 | + | 0.215724i | \(0.930789\pi\) | |||||||
\(350\) | 4.35514 | − | 4.26160i | 0.232792 | − | 0.227792i | ||||
\(351\) | −2.57460 | − | 1.35176i | −0.137422 | − | 0.0721517i | ||||
\(352\) | 9.50185 | + | 10.5936i | 0.506450 | + | 0.564640i | ||||
\(353\) | 21.4608 | − | 18.0078i | 1.14225 | − | 0.958458i | 0.142736 | − | 0.989761i | \(-0.454410\pi\) |
0.999510 | + | 0.0313029i | \(0.00996565\pi\) | |||||||
\(354\) | 6.51740 | + | 19.5037i | 0.346396 | + | 1.03661i | ||||
\(355\) | 25.8872 | + | 4.56461i | 1.37395 | + | 0.242265i | ||||
\(356\) | 1.50190 | + | 4.42291i | 0.0796008 | + | 0.234414i | ||||
\(357\) | −3.34034 | + | 11.7261i | −0.176790 | + | 0.620609i | ||||
\(358\) | −6.10367 | + | 8.51863i | −0.322589 | + | 0.450223i | ||||
\(359\) | −11.9164 | − | 20.6398i | −0.628922 | − | 1.08932i | −0.987768 | − | 0.155928i | \(-0.950163\pi\) |
0.358846 | − | 0.933397i | \(-0.383170\pi\) | |||||||
\(360\) | 14.8051 | − | 2.96733i | 0.780295 | − | 0.156392i | ||||
\(361\) | 19.9317 | − | 34.5228i | 1.04904 | − | 1.81699i | ||||
\(362\) | 8.09614 | + | 17.8660i | 0.425524 | + | 0.939018i | ||||
\(363\) | −4.74463 | + | 6.55435i | −0.249028 | + | 0.344014i | ||||
\(364\) | −1.97776 | − | 1.73407i | −0.103663 | − | 0.0908900i | ||||
\(365\) | 13.6950 | − | 16.3210i | 0.716827 | − | 0.854281i | ||||
\(366\) | 1.76378 | − | 0.262896i | 0.0921942 | − | 0.0137418i | ||||
\(367\) | −0.313629 | − | 0.114152i | −0.0163713 | − | 0.00595866i | 0.333822 | − | 0.942636i | \(-0.391662\pi\) |
−0.350193 | + | 0.936678i | \(0.613884\pi\) | |||||||
\(368\) | −13.9577 | + | 21.9196i | −0.727598 | + | 1.14264i | ||||
\(369\) | 18.9004 | + | 11.7191i | 0.983917 | + | 0.610072i | ||||
\(370\) | 11.4027 | + | 3.18840i | 0.592799 | + | 0.165757i | ||||
\(371\) | −14.7974 | + | 2.60918i | −0.768242 | + | 0.135462i | ||||
\(372\) | 12.2739 | + | 3.78632i | 0.636372 | + | 0.196312i | ||||
\(373\) | 1.23868 | + | 3.40324i | 0.0641364 | + | 0.176213i | 0.967621 | − | 0.252407i | \(-0.0812221\pi\) |
−0.903485 | + | 0.428620i | \(0.859000\pi\) | |||||||
\(374\) | 8.79516 | − | 6.01723i | 0.454787 | − | 0.311143i | ||||
\(375\) | −9.19993 | + | 18.9462i | −0.475082 | + | 0.978377i | ||||
\(376\) | −1.48663 | − | 0.179003i | −0.0766673 | − | 0.00923136i | ||||
\(377\) | −4.54611 | −0.234137 | ||||||||
\(378\) | −4.95588 | − | 16.5430i | −0.254903 | − | 0.850881i | ||||
\(379\) | 31.7219i | 1.62944i | 0.579852 | + | 0.814722i | \(0.303110\pi\) | ||||
−0.579852 | + | 0.814722i | \(0.696890\pi\) | |||||||
\(380\) | −17.0934 | − | 21.2933i | −0.876873 | − | 1.09232i | ||||
\(381\) | 28.9635 | − | 19.6095i | 1.48385 | − | 1.00462i | ||||
\(382\) | 6.62280 | + | 9.68031i | 0.338852 | + | 0.495288i | ||||
\(383\) | 15.3087 | − | 5.57190i | 0.782237 | − | 0.284711i | 0.0801320 | − | 0.996784i | \(-0.474466\pi\) |
0.702105 | + | 0.712073i | \(0.252244\pi\) | |||||||
\(384\) | −16.0021 | − | 11.3108i | −0.816602 | − | 0.577201i | ||||
\(385\) | −1.82681 | − | 10.3604i | −0.0931031 | − | 0.528014i | ||||
\(386\) | −13.0294 | − | 3.64326i | −0.663181 | − | 0.185437i | ||||
\(387\) | −1.66627 | + | 7.97545i | −0.0847012 | + | 0.405415i | ||||
\(388\) | −25.2780 | − | 15.3354i | −1.28330 | − | 0.778536i | ||||
\(389\) | −0.814629 | + | 2.23818i | −0.0413034 | + | 0.113480i | −0.958630 | − | 0.284656i | \(-0.908121\pi\) |
0.917326 | + | 0.398136i | \(0.130343\pi\) | |||||||
\(390\) | 2.26923 | + | 0.894897i | 0.114907 | + | 0.0453149i | ||||
\(391\) | 14.9071 | + | 12.5085i | 0.753883 | + | 0.632583i | ||||
\(392\) | 0.228436 | + | 4.17185i | 0.0115377 | + | 0.210710i | ||||
\(393\) | 2.41339 | − | 23.3523i | 0.121739 | − | 1.17797i | ||||
\(394\) | −8.44987 | − | 18.6466i | −0.425698 | − | 0.939403i | ||||
\(395\) | −18.0023 | − | 10.3936i | −0.905794 | − | 0.522960i | ||||
\(396\) | −5.90844 | + | 13.8893i | −0.296910 | + | 0.697965i | ||||
\(397\) | −14.7658 | + | 8.52506i | −0.741076 | + | 0.427860i | −0.822460 | − | 0.568822i | \(-0.807399\pi\) |
0.0813844 | + | 0.996683i | \(0.474066\pi\) | |||||||
\(398\) | 30.4223 | + | 21.7978i | 1.52493 | + | 1.09263i | ||||
\(399\) | −22.4268 | + | 21.7328i | −1.12274 | + | 1.08800i | ||||
\(400\) | 6.99372 | − | 2.20676i | 0.349686 | − | 0.110338i | ||||
\(401\) | 6.89131 | − | 39.0826i | 0.344136 | − | 1.95169i | 0.0395068 | − | 0.999219i | \(-0.487421\pi\) |
0.304629 | − | 0.952471i | \(-0.401468\pi\) | |||||||
\(402\) | 9.31083 | − | 10.5157i | 0.464382 | − | 0.524476i | ||||
\(403\) | 1.33381 | + | 1.58958i | 0.0664420 | + | 0.0791825i | ||||
\(404\) | −24.5162 | − | 0.532325i | −1.21973 | − | 0.0264841i | ||||
\(405\) | 9.50352 | + | 12.8910i | 0.472234 | + | 0.640558i | ||||
\(406\) | −18.8824 | − | 19.2969i | −0.937120 | − | 0.957689i | ||||
\(407\) | −9.06661 | + | 7.60779i | −0.449415 | + | 0.377104i | ||||
\(408\) | −9.96402 | + | 10.7729i | −0.493292 | + | 0.533338i | ||||
\(409\) | −1.68450 | + | 9.55328i | −0.0832932 | + | 0.472379i | 0.914419 | + | 0.404770i | \(0.132648\pi\) |
−0.997712 | + | 0.0676096i | \(0.978463\pi\) | |||||||
\(410\) | −16.8208 | − | 8.06711i | −0.830721 | − | 0.398406i | ||||
\(411\) | 9.73439 | + | 10.0452i | 0.480162 | + | 0.495495i | ||||
\(412\) | −22.8926 | + | 3.52602i | −1.12784 | + | 0.173714i | ||||
\(413\) | −17.0860 | + | 9.86459i | −0.840745 | + | 0.485405i | ||||
\(414\) | −27.3317 | − | 3.56077i | −1.34328 | − | 0.175002i | ||||
\(415\) | −6.66974 | + | 11.5523i | −0.327405 | + | 0.567081i | ||||
\(416\) | −1.18027 | − | 2.93746i | −0.0578677 | − | 0.144021i | ||||
\(417\) | 3.41365 | − | 33.0310i | 0.167167 | − | 1.61754i | ||||
\(418\) | 27.2155 | − | 2.08364i | 1.33115 | − | 0.101914i | ||||
\(419\) | 21.3004 | − | 25.3848i | 1.04059 | − | 1.24013i | 0.0704699 | − | 0.997514i | \(-0.477550\pi\) |
0.970122 | − | 0.242616i | \(-0.0780054\pi\) | |||||||
\(420\) | 5.62679 | + | 13.3492i | 0.274559 | + | 0.651375i | ||||
\(421\) | 10.7589 | − | 29.5598i | 0.524355 | − | 1.44065i | −0.341271 | − | 0.939965i | \(-0.610857\pi\) |
0.865627 | − | 0.500690i | \(-0.166920\pi\) | |||||||
\(422\) | −24.5918 | + | 6.30406i | −1.19711 | + | 0.306877i | ||||
\(423\) | −0.496031 | − | 1.50875i | −0.0241179 | − | 0.0733582i | ||||
\(424\) | −17.3063 | − | 5.24678i | −0.840468 | − | 0.254806i | ||||
\(425\) | −0.953635 | − | 5.40833i | −0.0462581 | − | 0.262343i | ||||
\(426\) | 18.9180 | − | 30.8443i | 0.916578 | − | 1.49441i | ||||
\(427\) | 0.585156 | + | 1.60770i | 0.0283177 | + | 0.0778022i | ||||
\(428\) | 1.54138 | − | 7.75337i | 0.0745054 | − | 0.374773i | ||||
\(429\) | −2.01915 | + | 1.36705i | −0.0974854 | + | 0.0660017i | ||||
\(430\) | 0.669560 | − | 6.80188i | 0.0322890 | − | 0.328016i | ||||
\(431\) | 9.66850 | 0.465715 | 0.232858 | − | 0.972511i | \(-0.425192\pi\) | ||||
0.232858 | + | 0.972511i | \(0.425192\pi\) | |||||||
\(432\) | 3.67667 | − | 20.4568i | 0.176894 | − | 0.984230i | ||||
\(433\) | −20.0283 | −0.962501 | −0.481250 | − | 0.876583i | \(-0.659817\pi\) | ||||
−0.481250 | + | 0.876583i | \(0.659817\pi\) | |||||||
\(434\) | −1.20724 | + | 12.2640i | −0.0579493 | + | 0.588692i | ||||
\(435\) | 22.5231 | + | 10.9368i | 1.07990 | + | 0.524380i | ||||
\(436\) | −2.00031 | + | 10.0619i | −0.0957974 | + | 0.481875i | ||||
\(437\) | 17.0474 | + | 46.8374i | 0.815489 | + | 2.24054i | ||||
\(438\) | −13.9838 | − | 25.7788i | −0.668170 | − | 1.23176i | ||||
\(439\) | 0.0379532 | + | 0.215244i | 0.00181141 | + | 0.0102730i | 0.985700 | − | 0.168509i | \(-0.0538953\pi\) |
−0.983889 | + | 0.178782i | \(0.942784\pi\) | |||||||
\(440\) | 3.67353 | − | 12.1170i | 0.175129 | − | 0.577655i | ||||
\(441\) | −3.90556 | + | 2.09408i | −0.185979 | + | 0.0997180i | ||||
\(442\) | −2.29638 | + | 0.588674i | −0.109228 | + | 0.0280004i | ||||
\(443\) | 3.15720 | − | 8.67435i | 0.150003 | − | 0.412131i | −0.841819 | − | 0.539761i | \(-0.818515\pi\) |
0.991822 | + | 0.127630i | \(0.0407370\pi\) | |||||||
\(444\) | 9.84112 | − | 12.9914i | 0.467039 | − | 0.616545i | ||||
\(445\) | 2.67141 | − | 3.18366i | 0.126637 | − | 0.150920i | ||||
\(446\) | −25.4830 | + | 1.95100i | −1.20666 | + | 0.0923824i | ||||
\(447\) | 1.34060 | + | 0.970446i | 0.0634082 | + | 0.0459005i | ||||
\(448\) | 7.56634 | − | 17.2108i | 0.357476 | − | 0.813133i | ||||
\(449\) | −20.7878 | + | 36.0055i | −0.981036 | + | 1.69920i | −0.322661 | + | 0.946514i | \(0.604578\pi\) |
−0.658375 | + | 0.752690i | \(0.728756\pi\) | |||||||
\(450\) | 5.26279 | + | 5.72780i | 0.248090 | + | 0.270011i | ||||
\(451\) | 16.1498 | − | 9.32411i | 0.760466 | − | 0.439055i | ||||
\(452\) | 19.7134 | − | 3.03634i | 0.927242 | − | 0.142818i | ||||
\(453\) | 0.528018 | − | 1.85357i | 0.0248084 | − | 0.0870885i | ||||
\(454\) | 7.73142 | + | 3.70792i | 0.362854 | + | 0.174021i | ||||
\(455\) | −0.406390 | + | 2.30475i | −0.0190519 | + | 0.108049i | ||||
\(456\) | −35.8987 | + | 11.1357i | −1.68111 | + | 0.521478i | ||||
\(457\) | 1.23132 | − | 1.03320i | 0.0575986 | − | 0.0483309i | −0.613534 | − | 0.789668i | \(-0.710253\pi\) |
0.671132 | + | 0.741337i | \(0.265808\pi\) | |||||||
\(458\) | 22.9179 | + | 23.4209i | 1.07088 | + | 1.09439i | ||||
\(459\) | −14.8276 | − | 4.73242i | −0.692094 | − | 0.220891i | ||||
\(460\) | 23.1158 | + | 0.501917i | 1.07778 | + | 0.0234020i | ||||
\(461\) | −16.0349 | − | 19.1096i | −0.746819 | − | 0.890024i | 0.250120 | − | 0.968215i | \(-0.419530\pi\) |
−0.996938 | + | 0.0781909i | \(0.975086\pi\) | |||||||
\(462\) | −14.1893 | − | 2.89261i | −0.660147 | − | 0.134576i | ||||
\(463\) | 6.29923 | − | 35.7247i | 0.292750 | − | 1.66027i | −0.383458 | − | 0.923558i | \(-0.625267\pi\) |
0.676208 | − | 0.736711i | \(-0.263622\pi\) | |||||||
\(464\) | −9.77777 | − | 30.9880i | −0.453921 | − | 1.43858i | ||||
\(465\) | −2.78408 | − | 11.0842i | −0.129108 | − | 0.514016i | ||||
\(466\) | −10.6599 | − | 7.63792i | −0.493811 | − | 0.353820i | ||||
\(467\) | 6.88704 | − | 3.97623i | 0.318694 | − | 0.183998i | −0.332116 | − | 0.943238i | \(-0.607763\pi\) |
0.650810 | + | 0.759240i | \(0.274429\pi\) | |||||||
\(468\) | 2.29189 | − | 2.45391i | 0.105943 | − | 0.113432i | ||||
\(469\) | 11.6699 | + | 6.73763i | 0.538867 | + | 0.311115i | ||||
\(470\) | 0.549907 | + | 1.21350i | 0.0253653 | + | 0.0559745i | ||||
\(471\) | −11.3674 | + | 5.08478i | −0.523780 | + | 0.234294i | ||||
\(472\) | −23.7096 | + | 1.29825i | −1.09132 | + | 0.0597568i | ||||
\(473\) | 5.23375 | + | 4.39164i | 0.240648 | + | 0.201928i | ||||
\(474\) | −22.4004 | + | 17.8038i | −1.02888 | + | 0.817757i | ||||
\(475\) | 4.81097 | − | 13.2180i | 0.220742 | − | 0.606485i | ||||
\(476\) | −12.0369 | − | 7.30239i | −0.551709 | − | 0.334705i | ||||
\(477\) | −2.73553 | − | 18.9851i | −0.125252 | − | 0.869267i | ||||
\(478\) | 12.8002 | + | 3.57917i | 0.585469 | + | 0.163707i | ||||
\(479\) | 2.84409 | + | 16.1296i | 0.129950 | + | 0.736982i | 0.978244 | + | 0.207457i | \(0.0665187\pi\) |
−0.848294 | + | 0.529525i | \(0.822370\pi\) | |||||||
\(480\) | −1.21929 | + | 17.3927i | −0.0556527 | + | 0.793865i | ||||
\(481\) | 2.47415 | − | 0.900516i | 0.112811 | − | 0.0410600i | ||||
\(482\) | 21.3406 | + | 31.1928i | 0.972039 | + | 1.42079i | ||||
\(483\) | −1.89050 | − | 26.3762i | −0.0860206 | − | 1.20016i | ||||
\(484\) | −5.84888 | − | 7.28596i | −0.265858 | − | 0.331180i | ||||
\(485\) | 26.3063i | 1.19451i | ||||||||
\(486\) | 21.3065 | − | 5.65974i | 0.966483 | − | 0.256731i | ||||
\(487\) | 4.24111 | 0.192183 | 0.0960914 | − | 0.995373i | \(-0.469366\pi\) | ||||
0.0960914 | + | 0.995373i | \(0.469366\pi\) | |||||||
\(488\) | −0.246158 | + | 2.04437i | −0.0111431 | + | 0.0925442i | ||||
\(489\) | −1.35306 | + | 0.0969795i | −0.0611875 | + | 0.00438557i | ||||
\(490\) | 3.06812 | − | 2.09906i | 0.138604 | − | 0.0948260i | ||||
\(491\) | 4.31034 | + | 11.8426i | 0.194523 | + | 0.534447i | 0.998158 | − | 0.0606758i | \(-0.0193256\pi\) |
−0.803635 | + | 0.595123i | \(0.797103\pi\) | |||||||
\(492\) | −18.8246 | + | 17.4658i | −0.848677 | + | 0.787418i | ||||
\(493\) | −23.9634 | + | 4.22540i | −1.07926 | + | 0.190302i | ||||
\(494\) | −5.84773 | − | 1.63513i | −0.263102 | − | 0.0735679i | ||||
\(495\) | 13.2924 | − | 1.91528i | 0.597448 | − | 0.0860856i | ||||
\(496\) | −7.96640 | + | 12.5106i | −0.357702 | + | 0.561744i | ||||
\(497\) | 32.6215 | + | 11.8732i | 1.46327 | + | 0.532588i | ||||
\(498\) | 11.4250 | + | 14.3746i | 0.511965 | + | 0.644143i | ||||
\(499\) | −10.4544 | + | 12.4591i | −0.468003 | + | 0.557744i | −0.947482 | − | 0.319809i | \(-0.896381\pi\) |
0.479479 | + | 0.877553i | \(0.340826\pi\) | |||||||
\(500\) | −18.2865 | − | 16.0333i | −0.817795 | − | 0.717032i | ||||
\(501\) | −10.0408 | − | 22.4468i | −0.448588 | − | 1.00285i | ||||
\(502\) | 0.0686493 | + | 0.151491i | 0.00306397 | + | 0.00676136i | ||||
\(503\) | −17.8227 | + | 30.8698i | −0.794674 | + | 1.37642i | 0.128372 | + | 0.991726i | \(0.459025\pi\) |
−0.923046 | + | 0.384690i | \(0.874308\pi\) | |||||||
\(504\) | 19.9356 | − | 0.464038i | 0.888002 | − | 0.0206699i | ||||
\(505\) | 10.9092 | + | 18.8953i | 0.485452 | + | 0.840828i | ||||
\(506\) | −13.4615 | + | 18.7876i | −0.598437 | + | 0.835213i | ||||
\(507\) | −21.3122 | + | 5.35311i | −0.946509 | + | 0.237740i | ||||
\(508\) | 12.9865 | + | 38.2436i | 0.576183 | + | 1.69679i | ||||
\(509\) | −25.2257 | − | 4.44797i | −1.11811 | − | 0.197153i | −0.416099 | − | 0.909319i | \(-0.636603\pi\) |
−0.702010 | + | 0.712167i | \(0.747714\pi\) | |||||||
\(510\) | 12.7933 | + | 2.60802i | 0.566499 | + | 0.115485i | ||||
\(511\) | 21.5542 | − | 18.0861i | 0.953500 | − | 0.800082i | ||||
\(512\) | 17.4843 | − | 14.3631i | 0.772705 | − | 0.634765i | ||||
\(513\) | −26.8299 | − | 29.4868i | −1.18457 | − | 1.30187i | ||||
\(514\) | −10.2081 | + | 9.98886i | −0.450260 | + | 0.440590i | ||||
\(515\) | 13.2471 | + | 15.7873i | 0.583737 | + | 0.695670i | ||||
\(516\) | −8.37190 | − | 4.29228i | −0.368552 | − | 0.188957i | ||||
\(517\) | −1.31155 | − | 0.231261i | −0.0576818 | − | 0.0101709i | ||||
\(518\) | 14.0989 | + | 6.76170i | 0.619470 | + | 0.297092i | ||||
\(519\) | 20.0503 | + | 5.71163i | 0.880112 | + | 0.250713i | ||||
\(520\) | −1.68985 | + | 2.25346i | −0.0741047 | + | 0.0988210i | ||||
\(521\) | 1.83496 | + | 3.17824i | 0.0803909 | + | 0.139241i | 0.903418 | − | 0.428761i | \(-0.141050\pi\) |
−0.823027 | + | 0.568002i | \(0.807716\pi\) | |||||||
\(522\) | 25.3789 | − | 23.3186i | 1.11080 | − | 1.02063i | ||||
\(523\) | 6.27809 | + | 3.62466i | 0.274522 | + | 0.158495i | 0.630941 | − | 0.775831i | \(-0.282669\pi\) |
−0.356419 | + | 0.934326i | \(0.616002\pi\) | |||||||
\(524\) | 25.2665 | + | 9.82248i | 1.10377 | + | 0.429097i | ||||
\(525\) | −4.37599 | + | 6.04511i | −0.190984 | + | 0.263830i | ||||
\(526\) | −11.5901 | + | 0.887346i | −0.505353 | + | 0.0386901i | ||||
\(527\) | 8.50823 | + | 7.13925i | 0.370624 | + | 0.310991i | ||||
\(528\) | −13.6611 | − | 10.8230i | −0.594523 | − | 0.471013i | ||||
\(529\) | −18.0473 | − | 6.56866i | −0.784663 | − | 0.285594i | ||||
\(530\) | 3.99553 | + | 15.5863i | 0.173555 | + | 0.677027i | ||||
\(531\) | −11.9011 | − | 22.1962i | −0.516464 | − | 0.963232i | ||||
\(532\) | −17.3481 | − | 31.6135i | −0.752137 | − | 1.37062i | ||||
\(533\) | −4.08543 | + | 0.720371i | −0.176959 | + | 0.0312027i | ||||
\(534\) | −2.72774 | − | 5.02854i | −0.118041 | − | 0.217606i | ||||
\(535\) | −6.60936 | + | 2.40561i | −0.285747 | + | 0.104004i | ||||
\(536\) | 8.86488 | + | 13.5810i | 0.382905 | + | 0.586609i | ||||
\(537\) | 5.60635 | − | 11.5456i | 0.241932 | − | 0.498231i | ||||
\(538\) | −23.2921 | − | 2.29282i | −1.00419 | − | 0.0988503i | ||||
\(539\) | 3.71605i | 0.160062i | ||||||||
\(540\) | −17.2584 | + | 6.64388i | −0.742682 | + | 0.285907i | ||||
\(541\) | − | 45.0694i | − | 1.93768i | −0.247679 | − | 0.968842i | \(-0.579668\pi\) | ||
0.247679 | − | 0.968842i | \(-0.420332\pi\) | |||||||
\(542\) | 1.21401 | − | 12.3328i | 0.0521461 | − | 0.529739i | ||||
\(543\) | −13.4682 | − | 19.8927i | −0.577976 | − | 0.853679i | ||||
\(544\) | −8.95169 | − | 14.3869i | −0.383800 | − | 0.616834i | ||||
\(545\) | 8.57723 | − | 3.12186i | 0.367408 | − | 0.133726i | ||||
\(546\) | 2.74609 | + | 1.68428i | 0.117522 | + | 0.0720804i | ||||
\(547\) | 14.7500 | − | 2.60083i | 0.630666 | − | 0.111203i | 0.150827 | − | 0.988560i | \(-0.451806\pi\) |
0.479839 | + | 0.877357i | \(0.340695\pi\) | |||||||
\(548\) | −14.1601 | + | 7.77044i | −0.604888 | + | 0.331937i | ||||
\(549\) | −2.07479 | + | 0.682125i | −0.0885498 | + | 0.0291124i | ||||
\(550\) | 6.31830 | − | 1.61969i | 0.269413 | − | 0.0690636i | ||||
\(551\) | −58.5669 | − | 21.3166i | −2.49503 | − | 0.908118i | ||||
\(552\) | 12.3160 | − | 29.3470i | 0.524203 | − | 1.24909i | ||||
\(553\) | −21.0298 | − | 17.6461i | −0.894278 | − | 0.750389i | ||||
\(554\) | −0.646682 | − | 8.44666i | −0.0274749 | − | 0.358864i | ||||
\(555\) | −14.4243 | − | 1.49070i | −0.612276 | − | 0.0632766i | ||||
\(556\) | 35.7385 | + | 13.8935i | 1.51565 | + | 0.589217i | ||||
\(557\) | 22.1699 | + | 12.7998i | 0.939368 | + | 0.542344i | 0.889762 | − | 0.456424i | \(-0.150870\pi\) |
0.0496059 | + | 0.998769i | \(0.484203\pi\) | |||||||
\(558\) | −15.5996 | − | 2.03232i | −0.660383 | − | 0.0860348i | ||||
\(559\) | −0.759937 | − | 1.31625i | −0.0321419 | − | 0.0556714i | ||||
\(560\) | −16.5841 | + | 2.18695i | −0.700808 | + | 0.0924155i | ||||
\(561\) | −9.37272 | + | 9.08268i | −0.395716 | + | 0.383471i | ||||
\(562\) | 6.79848 | − | 14.1756i | 0.286777 | − | 0.597962i | ||||
\(563\) | 8.77498 | + | 1.54727i | 0.369821 | + | 0.0652095i | 0.355470 | − | 0.934688i | \(-0.384321\pi\) |
0.0143510 | + | 0.999897i | \(0.495432\pi\) | |||||||
\(564\) | 1.83162 | − | 0.0913676i | 0.0771252 | − | 0.00384727i | ||||
\(565\) | −11.4074 | − | 13.5948i | −0.479914 | − | 0.571939i | ||||
\(566\) | −12.5607 | − | 12.8364i | −0.527965 | − | 0.539554i | ||||
\(567\) | 9.40380 | + | 18.9451i | 0.394923 | + | 0.795619i | ||||
\(568\) | 28.5663 | + | 30.4901i | 1.19862 | + | 1.27934i | ||||
\(569\) | −16.0670 | + | 13.4818i | −0.673565 | + | 0.565188i | −0.914118 | − | 0.405448i | \(-0.867116\pi\) |
0.240553 | + | 0.970636i | \(0.422671\pi\) | |||||||
\(570\) | 25.0381 | + | 22.1692i | 1.04873 | + | 0.928567i | ||||
\(571\) | −1.19314 | − | 0.210382i | −0.0499312 | − | 0.00880422i | 0.148627 | − | 0.988893i | \(-0.452515\pi\) |
−0.198558 | + | 0.980089i | \(0.563626\pi\) | |||||||
\(572\) | −0.905336 | − | 2.66610i | −0.0378540 | − | 0.111475i | ||||
\(573\) | −9.99676 | − | 10.3160i | −0.417621 | − | 0.430957i | ||||
\(574\) | −20.0267 | − | 14.3493i | −0.835900 | − | 0.598930i | ||||
\(575\) | 5.95542 | + | 10.3151i | 0.248358 | + | 0.430169i | ||||
\(576\) | 21.6562 | + | 10.3445i | 0.902342 | + | 0.431021i | ||||
\(577\) | −8.95106 | + | 15.5037i | −0.372638 | + | 0.645427i | −0.989970 | − | 0.141275i | \(-0.954880\pi\) |
0.617333 | + | 0.786702i | \(0.288213\pi\) | |||||||
\(578\) | 10.3406 | − | 4.68592i | 0.430111 | − | 0.194909i | ||||
\(579\) | 16.4820 | + | 1.70336i | 0.684971 | + | 0.0707894i | ||||
\(580\) | −19.0603 | + | 21.7388i | −0.791437 | + | 0.902655i | ||||
\(581\) | −11.3238 | + | 13.4951i | −0.469788 | + | 0.559872i | ||||
\(582\) | 33.6861 | + | 13.2845i | 1.39633 | + | 0.550659i | ||||
\(583\) | −15.1142 | − | 5.50114i | −0.625968 | − | 0.227834i | ||||
\(584\) | 32.9784 | − | 7.69506i | 1.36466 | − | 0.318424i | ||||
\(585\) | −2.92440 | − | 0.610979i | −0.120909 | − | 0.0252609i | ||||
\(586\) | −10.1706 | + | 36.3731i | −0.420143 | + | 1.50256i | ||||
\(587\) | 4.19636 | − | 0.739932i | 0.173202 | − | 0.0305402i | −0.0863743 | − | 0.996263i | \(-0.527528\pi\) |
0.259577 | + | 0.965723i | \(0.416417\pi\) | |||||||
\(588\) | −1.13854 | − | 4.98884i | −0.0469527 | − | 0.205736i | ||||
\(589\) | 9.72984 | + | 26.7325i | 0.400911 | + | 1.10149i | ||||
\(590\) | 11.9294 | + | 17.4368i | 0.491127 | + | 0.717863i | ||||
\(591\) | 14.0566 | + | 20.7619i | 0.578213 | + | 0.854029i | ||||
\(592\) | 11.4597 | + | 14.9279i | 0.470989 | + | 0.613533i | ||||
\(593\) | 14.8627 | 0.610340 | 0.305170 | − | 0.952298i | \(-0.401287\pi\) | ||||
0.305170 | + | 0.952298i | \(0.401287\pi\) | |||||||
\(594\) | 4.25996 | − | 17.9885i | 0.174788 | − | 0.738078i | ||||
\(595\) | 12.5265i | 0.513537i | ||||||||
\(596\) | −1.49024 | + | 1.19631i | −0.0610426 | + | 0.0490026i | ||||
\(597\) | −41.2325 | − | 20.0218i | −1.68754 | − | 0.819437i | ||||
\(598\) | 4.24349 | − | 2.90319i | 0.173529 | − | 0.118720i | ||||
\(599\) | 4.35844 | − | 1.58634i | 0.178081 | − | 0.0648162i | −0.251441 | − | 0.967873i | \(-0.580904\pi\) |
0.429522 | + | 0.903057i | \(0.358682\pi\) | |||||||
\(600\) | −7.98614 | + | 4.11028i | −0.326033 | + | 0.167801i | ||||
\(601\) | 2.59673 | + | 14.7268i | 0.105923 | + | 0.600718i | 0.990848 | + | 0.134985i | \(0.0430985\pi\) |
−0.884925 | + | 0.465734i | \(0.845790\pi\) | |||||||
\(602\) | 2.43066 | − | 8.69281i | 0.0990665 | − | 0.354292i | ||||
\(603\) | −9.06487 | + | 14.6197i | −0.369150 | + | 0.595361i | ||||
\(604\) | 1.90270 | + | 1.15431i | 0.0774200 | + | 0.0469683i | ||||
\(605\) | −2.84323 | + | 7.81171i | −0.115594 | + | 0.317591i | ||||
\(606\) | 29.7050 | − | 4.42762i | 1.20668 | − | 0.179860i | ||||
\(607\) | −13.7989 | − | 11.5786i | −0.560079 | − | 0.469962i | 0.318258 | − | 0.948004i | \(-0.396902\pi\) |
−0.878337 | + | 0.478042i | \(0.841347\pi\) | |||||||
\(608\) | −1.43162 | − | 43.3772i | −0.0580600 | − | 1.75918i | ||||
\(609\) | 26.7849 | + | 19.3893i | 1.08538 | + | 0.785694i | ||||
\(610\) | 1.66876 | − | 0.756213i | 0.0675662 | − | 0.0306182i | ||||
\(611\) | 0.256573 | + | 0.148133i | 0.0103798 | + | 0.00599281i | ||||
\(612\) | 9.80019 | − | 15.0653i | 0.396149 | − | 0.608977i | ||||
\(613\) | −26.2514 | + | 15.1562i | −1.06028 | + | 0.612155i | −0.925511 | − | 0.378722i | \(-0.876364\pi\) |
−0.134772 | + | 0.990877i | \(0.543030\pi\) | |||||||
\(614\) | −4.10665 | + | 5.73147i | −0.165731 | + | 0.231303i | ||||
\(615\) | 21.9737 | + | 6.25954i | 0.886067 | + | 0.252409i | ||||
\(616\) | 7.55645 | − | 14.9166i | 0.304458 | − | 0.601008i | ||||
\(617\) | −2.22018 | + | 12.5913i | −0.0893810 | + | 0.506905i | 0.906944 | + | 0.421251i | \(0.138409\pi\) |
−0.996325 | + | 0.0856536i | \(0.972702\pi\) | |||||||
\(618\) | 26.9058 | − | 8.99090i | 1.08231 | − | 0.361667i | ||||
\(619\) | 11.8907 | + | 14.1707i | 0.477926 | + | 0.569570i | 0.950104 | − | 0.311933i | \(-0.100977\pi\) |
−0.472178 | + | 0.881503i | \(0.656532\pi\) | |||||||
\(620\) | 13.1934 | + | 0.286470i | 0.529858 | + | 0.0115049i | ||||
\(621\) | 33.7300 | − | 1.35407i | 1.35354 | − | 0.0543369i | ||||
\(622\) | −16.3845 | + | 16.0326i | −0.656960 | + | 0.642850i | ||||
\(623\) | 4.20447 | − | 3.52797i | 0.168448 | − | 0.141345i | ||||
\(624\) | 2.03228 | + | 3.30188i | 0.0813561 | + | 0.132181i | ||||
\(625\) | −2.16567 | + | 12.2821i | −0.0866269 | + | 0.491286i | ||||
\(626\) | 8.39398 | − | 17.5024i | 0.335491 | − | 0.699536i | ||||
\(627\) | −32.4225 | + | 8.14374i | −1.29483 | + | 0.325230i | ||||
\(628\) | −2.18894 | − | 14.2117i | −0.0873481 | − | 0.567107i | ||||
\(629\) | 12.2047 | − | 7.04640i | 0.486634 | − | 0.280958i | ||||
\(630\) | −9.55318 | − | 14.9509i | −0.380608 | − | 0.595659i | ||||
\(631\) | 4.30167 | − | 7.45072i | 0.171247 | − | 0.296608i | −0.767609 | − | 0.640918i | \(-0.778554\pi\) |
0.938856 | + | 0.344310i | \(0.111887\pi\) | |||||||
\(632\) | −12.9811 | − | 30.3836i | −0.516361 | − | 1.20859i | ||||
\(633\) | 28.3824 | − | 12.6958i | 1.12810 | − | 0.504614i | ||||
\(634\) | 0.601272 | + | 7.85354i | 0.0238796 | + | 0.311904i | ||||
\(635\) | 23.0989 | − | 27.5281i | 0.916650 | − | 1.09242i | ||||
\(636\) | 21.9765 | + | 2.75456i | 0.871426 | + | 0.109225i | ||||
\(637\) | 0.282736 | − | 0.776812i | 0.0112024 | − | 0.0307784i | ||||
\(638\) | −7.17656 | − | 27.9953i | −0.284123 | − | 1.10835i | ||||
\(639\) | −16.4580 | + | 41.1464i | −0.651069 | + | 1.62773i | ||||
\(640\) | −18.9950 | − | 6.67190i | −0.750843 | − | 0.263730i | ||||
\(641\) | −1.04346 | − | 5.91773i | −0.0412140 | − | 0.233736i | 0.957242 | − | 0.289289i | \(-0.0934189\pi\) |
−0.998456 | + | 0.0555530i | \(0.982308\pi\) | |||||||
\(642\) | −0.257208 | + | 9.67831i | −0.0101512 | + | 0.381972i | ||||
\(643\) | 8.03942 | + | 22.0881i | 0.317044 | + | 0.871070i | 0.991187 | + | 0.132470i | \(0.0422908\pi\) |
−0.674143 | + | 0.738601i | \(0.735487\pi\) | |||||||
\(644\) | 29.9487 | + | 5.95384i | 1.18014 | + | 0.234614i | ||||
\(645\) | 0.598438 | + | 8.34941i | 0.0235635 | + | 0.328758i | ||||
\(646\) | −32.3443 | − | 3.18389i | −1.27257 | − | 0.125268i | ||||
\(647\) | −10.6875 | −0.420169 | −0.210085 | − | 0.977683i | \(-0.567374\pi\) | ||||
−0.210085 | + | 0.977683i | \(0.567374\pi\) | |||||||
\(648\) | −0.207627 | + | 25.4550i | −0.00815637 | + | 0.999967i | ||||
\(649\) | −21.1191 | −0.828998 | ||||||||
\(650\) | −1.44403 | − | 0.142146i | −0.0566394 | − | 0.00557544i | ||||
\(651\) | −1.07900 | − | 15.0543i | −0.0422895 | − | 0.590023i | ||||
\(652\) | 0.305423 | − | 1.53632i | 0.0119613 | − | 0.0601670i | ||||
\(653\) | 7.40542 | + | 20.3462i | 0.289796 | + | 0.796209i | 0.996094 | + | 0.0882946i | \(0.0281417\pi\) |
−0.706298 | + | 0.707915i | \(0.749636\pi\) | |||||||
\(654\) | 0.333789 | − | 12.5599i | 0.0130522 | − | 0.491132i | ||||
\(655\) | −4.18835 | − | 23.7533i | −0.163653 | − | 0.928120i | ||||
\(656\) | −13.6973 | − | 26.2985i | −0.534788 | − | 1.02678i | ||||
\(657\) | 22.2119 | + | 28.2271i | 0.866570 | + | 1.10124i | ||||
\(658\) | 0.436908 | + | 1.70435i | 0.0170324 | + | 0.0664426i | ||||
\(659\) | −6.12164 | + | 16.8191i | −0.238465 | + | 0.655177i | 0.761510 | + | 0.648153i | \(0.224458\pi\) |
−0.999975 | + | 0.00702451i | \(0.997764\pi\) | |||||||
\(660\) | −1.92860 | + | 15.3868i | −0.0750708 | + | 0.598932i | ||||
\(661\) | 15.6447 | − | 18.6447i | 0.608510 | − | 0.725194i | −0.370539 | − | 0.928817i | \(-0.620827\pi\) |
0.979049 | + | 0.203623i | \(0.0652716\pi\) | |||||||
\(662\) | 2.49751 | + | 32.6214i | 0.0970687 | + | 1.26787i | ||||
\(663\) | 2.65035 | − | 1.18554i | 0.102931 | − | 0.0460425i | ||||
\(664\) | −19.4976 | + | 8.33017i | −0.756652 | + | 0.323273i | ||||
\(665\) | −16.0424 | + | 27.7863i | −0.622098 | + | 1.07751i | ||||
\(666\) | −9.19301 | + | 17.7179i | −0.356222 | + | 0.686556i | ||||
\(667\) | 45.7045 | − | 26.3875i | 1.76968 | − | 1.02173i | ||||
\(668\) | 28.0633 | − | 4.32243i | 1.08580 | − | 0.167240i | ||||
\(669\) | 30.3586 | − | 7.62533i | 1.17373 | − | 0.294812i | ||||
\(670\) | 6.24001 | − | 13.0111i | 0.241073 | − | 0.502663i | ||||
\(671\) | −0.318022 | + | 1.80359i | −0.0122771 | + | 0.0696270i | ||||
\(672\) | −5.57439 | + | 22.3409i | −0.215037 | + | 0.861820i | ||||
\(673\) | 7.83345 | − | 6.57304i | 0.301957 | − | 0.253372i | −0.479201 | − | 0.877705i | \(-0.659074\pi\) |
0.781158 | + | 0.624333i | \(0.214629\pi\) | |||||||
\(674\) | 4.62225 | − | 4.52298i | 0.178042 | − | 0.174219i | ||||
\(675\) | −7.53759 | − | 5.82595i | −0.290122 | − | 0.224241i | ||||
\(676\) | 0.550812 | − | 25.3677i | 0.0211851 | − | 0.975679i | ||||
\(677\) | 18.4828 | + | 22.0270i | 0.710352 | + | 0.846565i | 0.993656 | − | 0.112465i | \(-0.0358747\pi\) |
−0.283303 | + | 0.959030i | \(0.591430\pi\) | |||||||
\(678\) | −23.1693 | + | 7.74230i | −0.889811 | + | 0.297341i | ||||
\(679\) | −6.03274 | + | 34.2133i | −0.231515 | + | 1.31299i | ||||
\(680\) | −6.81302 | + | 13.4491i | −0.261268 | + | 0.515749i | ||||
\(681\) | −10.0999 | − | 2.87710i | −0.387028 | − | 0.110251i | ||||
\(682\) | −7.68318 | + | 10.7231i | −0.294204 | + | 0.410608i | ||||
\(683\) | −28.1049 | + | 16.2264i | −1.07540 | + | 0.620885i | −0.929653 | − | 0.368436i | \(-0.879893\pi\) |
−0.145751 | + | 0.989321i | \(0.546560\pi\) | |||||||
\(684\) | 41.0324 | − | 20.8668i | 1.56891 | − | 0.797863i | ||||
\(685\) | 12.4458 | + | 7.18559i | 0.475530 | + | 0.274547i | ||||
\(686\) | 25.6620 | − | 11.6289i | 0.979778 | − | 0.443995i | ||||
\(687\) | −32.5092 | − | 23.5331i | −1.24030 | − | 0.897842i | ||||
\(688\) | 7.33759 | − | 8.01101i | 0.279743 | − | 0.305417i | ||||
\(689\) | 2.74096 | + | 2.29994i | 0.104422 | + | 0.0876208i | ||||
\(690\) | −28.0082 | + | 4.17470i | −1.06625 | + | 0.158928i | ||||
\(691\) | −9.17035 | + | 25.1953i | −0.348856 | + | 0.958475i | 0.633875 | + | 0.773436i | \(0.281463\pi\) |
−0.982731 | + | 0.185039i | \(0.940759\pi\) | |||||||
\(692\) | −12.4863 | + | 20.5818i | −0.474659 | + | 0.782402i | ||||
\(693\) | 17.7270 | + | 0.557327i | 0.673392 | + | 0.0211711i | ||||
\(694\) | 6.79300 | − | 24.2939i | 0.257859 | − | 0.922183i | ||||
\(695\) | −5.92427 | − | 33.5982i | −0.224721 | − | 1.27445i | ||||
\(696\) | 18.2120 | + | 35.3853i | 0.690323 | + | 1.34128i | ||||
\(697\) | −20.8655 | + | 7.59443i | −0.790338 | + | 0.287660i | ||||
\(698\) | −20.1652 | + | 13.7960i | −0.763263 | + | 0.522188i | ||||
\(699\) | 14.4478 | + | 7.01559i | 0.546466 | + | 0.265354i | ||||
\(700\) | −5.39445 | − | 6.71988i | −0.203891 | − | 0.253988i | ||||
\(701\) | 26.7362i | 1.00981i | 0.863174 | + | 0.504907i | \(0.168473\pi\) | ||||
−0.863174 | + | 0.504907i | \(0.831527\pi\) | |||||||
\(702\) | −2.25917 | + | 3.43625i | −0.0852670 | + | 0.129693i | ||||
\(703\) | 36.0966 | 1.36141 | ||||||||
\(704\) | 16.2259 | − | 11.9054i | 0.611538 | − | 0.448700i | ||||
\(705\) | −0.914789 | − | 1.35116i | −0.0344529 | − | 0.0508875i | ||||
\(706\) | −22.3711 | − | 32.6991i | −0.841949 | − | 1.23065i | ||||
\(707\) | 9.85503 | + | 27.0765i | 0.370636 | + | 1.01832i | ||||
\(708\) | 28.3527 | − | 6.47058i | 1.06556 | − | 0.243179i | ||||
\(709\) | 41.4005 | − | 7.30003i | 1.55483 | − | 0.274158i | 0.670817 | − | 0.741623i | \(-0.265943\pi\) |
0.884012 | + | 0.467464i | \(0.154832\pi\) | |||||||
\(710\) | 10.0108 | − | 35.8016i | 0.375697 | − | 1.34361i | ||||
\(711\) | 23.3588 | − | 26.1247i | 0.876022 | − | 0.979751i | ||||
\(712\) | 6.43294 | − | 1.50104i | 0.241084 | − | 0.0562538i | ||||
\(713\) | −22.6361 | − | 8.23887i | −0.847729 | − | 0.308548i | ||||
\(714\) | 16.0406 | + | 6.32578i | 0.600305 | + | 0.236737i | ||||
\(715\) | −1.61030 | + | 1.91908i | −0.0602219 | + | 0.0717697i | ||||
\(716\) | 11.1436 | + | 9.77056i | 0.416456 | + | 0.365143i | ||||
\(717\) | −16.1921 | − | 1.67340i | −0.604705 | − | 0.0624942i | ||||
\(718\) | −30.6995 | + | 13.9118i | −1.14570 | + | 0.519182i | ||||
\(719\) | 7.75793 | − | 13.4371i | 0.289322 | − | 0.501121i | −0.684326 | − | 0.729176i | \(-0.739903\pi\) |
0.973648 | + | 0.228056i | \(0.0732368\pi\) | |||||||
\(720\) | −2.12513 | − | 21.2479i | −0.0791988 | − | 0.791863i | ||||
\(721\) | 13.6084 | + | 23.5704i | 0.506803 | + | 0.877809i | ||||
\(722\) | −45.8263 | − | 32.8350i | −1.70548 | − | 1.22199i | ||||
\(723\) | −32.2125 | − | 33.2412i | −1.19800 | − | 1.23625i | ||||
\(724\) | 26.2665 | − | 8.91941i | 0.976187 | − | 0.331487i | ||||
\(725\) | −14.6674 | − | 2.58626i | −0.544734 | − | 0.0960512i | ||||
\(726\) | 8.56734 | + | 7.58569i | 0.317964 | + | 0.281531i | ||||
\(727\) | −6.76072 | + | 5.67292i | −0.250741 | + | 0.210397i | −0.759491 | − | 0.650517i | \(-0.774552\pi\) |
0.508750 | + | 0.860914i | \(0.330108\pi\) | |||||||
\(728\) | −2.71455 | + | 2.54327i | −0.100608 | + | 0.0942600i | ||||
\(729\) | −24.5498 | + | 11.2386i | −0.909253 | + | 0.416245i | ||||
\(730\) | −21.0731 | − | 21.5356i | −0.779949 | − | 0.797068i | ||||
\(731\) | −5.22917 | − | 6.23188i | −0.193408 | − | 0.230494i | ||||
\(732\) | −0.125646 | − | 2.51878i | −0.00464399 | − | 0.0930969i | ||||
\(733\) | −17.4479 | − | 3.07653i | −0.644452 | − | 0.113634i | −0.158136 | − | 0.987417i | \(-0.550549\pi\) |
−0.486316 | + | 0.873783i | \(0.661660\pi\) | |||||||
\(734\) | −0.204109 | + | 0.425590i | −0.00753380 | + | 0.0157088i | ||||
\(735\) | −3.26960 | + | 3.16842i | −0.120601 | + | 0.116869i | ||||
\(736\) | 28.9162 | + | 22.6811i | 1.06586 | + | 0.836035i | ||||
\(737\) | 7.21231 | + | 12.4921i | 0.265669 | + | 0.460152i | ||||
\(738\) | 19.1121 | − | 24.9771i | 0.703526 | − | 0.919419i | ||||
\(739\) | −24.2476 | − | 13.9993i | −0.891961 | − | 0.514974i | −0.0173774 | − | 0.999849i | \(-0.505532\pi\) |
−0.874583 | + | 0.484875i | \(0.838865\pi\) | |||||||
\(740\) | 6.06714 | − | 15.6066i | 0.223033 | − | 0.573709i | ||||
\(741\) | 7.39729 | + | 0.764485i | 0.271746 | + | 0.0280841i | ||||
\(742\) | 1.62213 | + | 21.1875i | 0.0595502 | + | 0.777817i | ||||
\(743\) | −0.976314 | − | 0.819225i | −0.0358175 | − | 0.0300544i | 0.624703 | − | 0.780862i | \(-0.285220\pi\) |
−0.660521 | + | 0.750808i | \(0.729664\pi\) | |||||||
\(744\) | 7.02936 | − | 16.7499i | 0.257709 | − | 0.614079i | ||||
\(745\) | 1.59778 | + | 0.581543i | 0.0585379 | + | 0.0213061i | ||||
\(746\) | 4.96137 | − | 1.27184i | 0.181649 | − | 0.0465653i | ||||
\(747\) | −16.7646 | − | 14.9896i | −0.613383 | − | 0.548442i | ||||
\(748\) | −7.25021 | − | 13.2120i | −0.265094 | − | 0.483080i | ||||
\(749\) | −9.14764 | + | 1.61298i | −0.334247 | + | 0.0589368i | ||||
\(750\) | 25.3905 | + | 15.5729i | 0.927130 | + | 0.568643i | ||||
\(751\) | −8.98866 | + | 3.27161i | −0.328001 | + | 0.119383i | −0.500771 | − | 0.865580i | \(-0.666950\pi\) |
0.172771 | + | 0.984962i | \(0.444728\pi\) | |||||||
\(752\) | −0.457892 | + | 2.06751i | −0.0166976 | + | 0.0753942i | ||||
\(753\) | −0.114200 | − | 0.168676i | −0.00416169 | − | 0.00614689i | ||||
\(754\) | −0.629827 | + | 6.39824i | −0.0229369 | + | 0.233010i | ||||
\(755\) | − | 1.98011i | − | 0.0720634i | ||||||
\(756\) | −23.9694 | + | 4.68306i | −0.871760 | + | 0.170321i | ||||
\(757\) | − | 5.24463i | − | 0.190619i | −0.995448 | − | 0.0953096i | \(-0.969616\pi\) | ||
0.995448 | − | 0.0953096i | \(-0.0303841\pi\) | |||||||
\(758\) | 44.6457 | + | 4.39481i | 1.62161 | + | 0.159627i | ||||
\(759\) | 12.3647 | − | 25.4636i | 0.448810 | − | 0.924271i | ||||
\(760\) | −32.3365 | + | 21.1074i | −1.17297 | + | 0.765647i | ||||
\(761\) | 27.2099 | − | 9.90361i | 0.986360 | − | 0.359006i | 0.202050 | − | 0.979375i | \(-0.435240\pi\) |
0.784310 | + | 0.620370i | \(0.213017\pi\) | |||||||
\(762\) | −23.5860 | − | 43.4803i | −0.854429 | − | 1.57512i | ||||
\(763\) | 11.8713 | − | 2.09322i | 0.429768 | − | 0.0757797i | ||||
\(764\) | 14.5417 | − | 7.97988i | 0.526101 | − | 0.288702i | ||||
\(765\) | −15.9829 | − | 0.502496i | −0.577865 | − | 0.0181678i | ||||
\(766\) | −5.72107 | − | 22.3176i | −0.206711 | − | 0.806366i | ||||
\(767\) | 4.41479 | + | 1.60685i | 0.159409 | + | 0.0580201i | ||||
\(768\) | −18.1359 | + | 20.9545i | −0.654423 | + | 0.756129i | ||||
\(769\) | −31.0584 | − | 26.0611i | −1.11999 | − | 0.939786i | −0.121389 | − | 0.992605i | \(-0.538735\pi\) |
−0.998604 | + | 0.0528190i | \(0.983179\pi\) | |||||||
\(770\) | −14.8344 | + | 1.13573i | −0.534595 | + | 0.0409289i | ||||
\(771\) | 10.2570 | − | 14.1693i | 0.369396 | − | 0.510294i | ||||
\(772\) | −6.93269 | + | 17.8330i | −0.249513 | + | 0.641825i | ||||
\(773\) | −8.73768 | − | 5.04470i | −0.314273 | − | 0.181445i | 0.334564 | − | 0.942373i | \(-0.391411\pi\) |
−0.648837 | + | 0.760928i | \(0.724744\pi\) | |||||||
\(774\) | 10.9939 | + | 3.45006i | 0.395167 | + | 0.124010i | ||||
\(775\) | 3.39906 | + | 5.88735i | 0.122098 | + | 0.211480i | ||||
\(776\) | −25.0853 | + | 33.4520i | −0.900509 | + | 1.20086i | ||||
\(777\) | −18.4180 | − | 5.24663i | −0.660741 | − | 0.188222i | ||||
\(778\) | 3.03717 | + | 1.45660i | 0.108888 | + | 0.0522216i | ||||
\(779\) | −56.0098 | − | 9.87604i | −2.00676 | − | 0.353846i | ||||
\(780\) | 1.57387 | − | 3.06977i | 0.0563536 | − | 0.109915i | ||||
\(781\) | 23.8865 | + | 28.4668i | 0.854726 | + | 1.01862i | ||||
\(782\) | 19.6699 | − | 19.2474i | 0.703393 | − | 0.688286i | ||||
\(783\) | −25.8138 | + | 33.3978i | −0.922511 | + | 1.19354i | ||||
\(784\) | 5.90316 | + | 0.256473i | 0.210827 | + | 0.00915977i | ||||
\(785\) | −9.80068 | + | 8.22375i | −0.349801 | + | 0.293518i | ||||
\(786\) | −32.5320 | − | 6.63191i | −1.16038 | − | 0.236552i | ||||
\(787\) | −14.0000 | − | 2.46858i | −0.499046 | − | 0.0879952i | −0.0815410 | − | 0.996670i | \(-0.525984\pi\) |
−0.417505 | + | 0.908675i | \(0.637095\pi\) | |||||||
\(788\) | −27.4141 | + | 9.30910i | −0.976587 | + | 0.331623i | ||||
\(789\) | 13.8076 | − | 3.46813i | 0.491563 | − | 0.123469i | ||||
\(790\) | −17.1222 | + | 23.8967i | −0.609180 | + | 0.850206i | ||||
\(791\) | −11.7186 | − | 20.2971i | −0.416664 | − | 0.721683i | ||||
\(792\) | 18.7294 | + | 10.2399i | 0.665521 | + | 0.363858i | ||||
\(793\) | 0.203707 | − | 0.352831i | 0.00723385 | − | 0.0125294i | ||||
\(794\) | 9.95258 | + | 21.9627i | 0.353204 | + | 0.779426i | ||||
\(795\) | −8.04666 | − | 17.9888i | −0.285386 | − | 0.637999i | ||||
\(796\) | 34.8933 | − | 39.7968i | 1.23676 | − | 1.41056i | ||||
\(797\) | 14.0727 | − | 16.7712i | 0.498482 | − | 0.594068i | −0.456871 | − | 0.889533i | \(-0.651030\pi\) |
0.955354 | + | 0.295465i | \(0.0954745\pi\) | |||||||
\(798\) | 27.4799 | + | 34.5746i | 0.972779 | + | 1.22393i | ||||
\(799\) | 1.49013 | + | 0.542363i | 0.0527170 | + | 0.0191874i | ||||
\(800\) | −2.13689 | − | 10.1488i | −0.0755504 | − | 0.358813i | ||||
\(801\) | 4.33277 | + | 5.50612i | 0.153091 | + | 0.194549i | ||||
\(802\) | −54.0505 | − | 15.1135i | −1.90859 | − | 0.533676i | ||||
\(803\) | 29.6617 | − | 5.23016i | 1.04674 | − | 0.184568i | ||||
\(804\) | −13.5100 | − | 14.5610i | −0.476461 | − | 0.513528i | ||||
\(805\) | −9.29208 | − | 25.5298i | −0.327503 | − | 0.899806i | ||||
\(806\) | 2.42198 | − | 1.65700i | 0.0853105 | − | 0.0583654i | ||||
\(807\) | 28.5914 | − | 2.04927i | 1.00647 | − | 0.0721377i | ||||
\(808\) | −4.14572 | + | 34.4306i | −0.145846 | + | 1.21127i | ||||
\(809\) | 40.9197 | 1.43866 | 0.719331 | − | 0.694668i | \(-0.244449\pi\) | ||||
0.719331 | + | 0.694668i | \(0.244449\pi\) | |||||||
\(810\) | 19.4595 | − | 11.5894i | 0.683739 | − | 0.407211i | ||||
\(811\) | 19.0286i | 0.668185i | 0.942540 | + | 0.334093i | \(0.108430\pi\) | ||||
−0.942540 | + | 0.334093i | \(0.891570\pi\) | |||||||
\(812\) | −29.7747 | + | 23.9019i | −1.04489 | + | 0.838793i | ||||
\(813\) | 1.08505 | + | 15.1387i | 0.0380545 | + | 0.530937i | ||||
\(814\) | 9.45118 | + | 13.8144i | 0.331264 | + | 0.484196i | ||||
\(815\) | −1.30964 | + | 0.476669i | −0.0458746 | + | 0.0166970i | ||||
\(816\) | 13.7815 | + | 15.5160i | 0.482448 | + | 0.543167i | ||||
\(817\) | −3.61830 | − | 20.5204i | −0.126588 | − | 0.717918i | ||||
\(818\) | 13.2120 | + | 3.69432i | 0.461947 | + | 0.129169i | ||||
\(819\) | −3.66329 | − | 1.46527i | −0.128006 | − | 0.0512005i | ||||
\(820\) | −13.6841 | + | 22.5562i | −0.477871 | + | 0.787696i | ||||
\(821\) | 4.35542 | − | 11.9664i | 0.152005 | − | 0.417631i | −0.840195 | − | 0.542284i | \(-0.817560\pi\) |
0.992200 | + | 0.124653i | \(0.0397818\pi\) | |||||||
\(822\) | 15.4864 | − | 12.3086i | 0.540150 | − | 0.429312i | ||||
\(823\) | 11.3183 | + | 9.49719i | 0.394531 | + | 0.331051i | 0.818375 | − | 0.574684i | \(-0.194875\pi\) |
−0.423844 | + | 0.905735i | \(0.639320\pi\) | |||||||
\(824\) | 1.79096 | + | 32.7078i | 0.0623912 | + | 1.13943i | ||||
\(825\) | −7.29222 | + | 3.26191i | −0.253882 | + | 0.113565i | ||||
\(826\) | 11.5164 | + | 25.4136i | 0.400707 | + | 0.884253i | ||||
\(827\) | 18.0361 | + | 10.4132i | 0.627178 | + | 0.362101i | 0.779658 | − | 0.626205i | \(-0.215393\pi\) |
−0.152481 | + | 0.988306i | \(0.548726\pi\) | |||||||
\(828\) | −8.79805 | + | 37.9736i | −0.305753 | + | 1.31967i | ||||
\(829\) | 11.5499 | − | 6.66836i | 0.401146 | − | 0.231602i | −0.285832 | − | 0.958280i | \(-0.592270\pi\) |
0.686978 | + | 0.726678i | \(0.258937\pi\) | |||||||
\(830\) | 15.3348 | + | 10.9875i | 0.532280 | + | 0.381383i | ||||
\(831\) | 2.52751 | + | 10.0627i | 0.0876782 | + | 0.349071i | ||||
\(832\) | −4.29773 | + | 1.25417i | −0.148997 | + | 0.0434805i | ||||
\(833\) | 0.768348 | − | 4.35752i | 0.0266217 | − | 0.150979i | ||||
\(834\) | −46.0153 | − | 9.38059i | −1.59338 | − | 0.324823i | ||||
\(835\) | −16.2392 | − | 19.3531i | −0.561980 | − | 0.669742i | ||||
\(836\) | 0.837956 | − | 38.5921i | 0.0289813 | − | 1.33473i | ||||
\(837\) | 19.2515 | − | 0.772836i | 0.665428 | − | 0.0267131i | ||||
\(838\) | −32.7759 | − | 33.4953i | −1.13222 | − | 1.15708i | ||||
\(839\) | −9.48780 | + | 7.96121i | −0.327555 | + | 0.274852i | −0.791703 | − | 0.610906i | \(-0.790805\pi\) |
0.464148 | + | 0.885758i | \(0.346361\pi\) | |||||||
\(840\) | 19.5674 | − | 6.06977i | 0.675139 | − | 0.209427i | ||||
\(841\) | −6.42348 | + | 36.4294i | −0.221499 | + | 1.25619i | ||||
\(842\) | −40.1122 | − | 19.2374i | −1.38236 | − | 0.662966i | ||||
\(843\) | −5.27518 | + | 18.5182i | −0.181687 | + | 0.637800i | ||||
\(844\) | 5.46541 | + | 35.4841i | 0.188127 | + | 1.22141i | ||||
\(845\) | −19.5515 | + | 11.2881i | −0.672592 | + | 0.388321i | ||||
\(846\) | −2.19216 | + | 0.489094i | −0.0753680 | + | 0.0168154i | ||||
\(847\) | −5.48927 | + | 9.50769i | −0.188613 | + | 0.326688i | ||||
\(848\) | −9.78202 | + | 23.6302i | −0.335916 | + | 0.811464i | ||||
\(849\) | 17.8174 | + | 12.8979i | 0.611493 | + | 0.442653i | ||||
\(850\) | −7.74386 | + | 0.592875i | −0.265612 | + | 0.0203355i | ||||
\(851\) | −19.6470 | + | 23.4143i | −0.673489 | + | 0.802633i | ||||
\(852\) | −40.7897 | − | 30.8986i | −1.39743 | − | 1.05857i | ||||
\(853\) | −8.85840 | + | 24.3382i | −0.303306 | + | 0.833326i | 0.690614 | + | 0.723223i | \(0.257340\pi\) |
−0.993920 | + | 0.110103i | \(0.964882\pi\) | |||||||
\(854\) | 2.34377 | − | 0.600821i | 0.0802021 | − | 0.0205597i | ||||
\(855\) | −34.8098 | − | 21.5836i | −1.19047 | − | 0.738144i | ||||
\(856\) | −10.6986 | − | 3.24352i | −0.365672 | − | 0.110861i | ||||
\(857\) | 0.658395 | + | 3.73394i | 0.0224903 | + | 0.127549i | 0.993986 | − | 0.109509i | \(-0.0349279\pi\) |
−0.971495 | + | 0.237058i | \(0.923817\pi\) | |||||||
\(858\) | 1.64426 | + | 3.03117i | 0.0561341 | + | 0.103482i | ||||
\(859\) | −12.7084 | − | 34.9159i | −0.433603 | − | 1.19132i | −0.943585 | − | 0.331130i | \(-0.892570\pi\) |
0.509982 | − | 0.860185i | \(-0.329652\pi\) | |||||||
\(860\) | −9.48028 | − | 1.88469i | −0.323275 | − | 0.0642674i | ||||
\(861\) | 27.1430 | + | 13.1802i | 0.925032 | + | 0.449179i | ||||
\(862\) | 1.33949 | − | 13.6076i | 0.0456233 | − | 0.463475i | ||||
\(863\) | 14.8041 | 0.503936 | 0.251968 | − | 0.967736i | \(-0.418922\pi\) | ||||
0.251968 | + | 0.967736i | \(0.418922\pi\) | |||||||
\(864\) | −28.2818 | − | 8.00872i | −0.962167 | − | 0.272462i | ||||
\(865\) | 21.4190 | 0.728269 | ||||||||
\(866\) | −2.77477 | + | 28.1881i | −0.0942904 | + | 0.957871i | ||||
\(867\) | −11.5136 | + | 7.79519i | −0.391023 | + | 0.264739i | ||||
\(868\) | 17.0933 | + | 3.39816i | 0.580183 | + | 0.115341i | ||||
\(869\) | −10.0508 | − | 27.6143i | −0.340950 | − | 0.936752i | ||||
\(870\) | 18.5130 | − | 30.1841i | 0.627649 | − | 1.02334i | ||||
\(871\) | −0.557216 | − | 3.16013i | −0.0188805 | − | 0.107077i | ||||
\(872\) | 13.8840 | + | 4.20925i | 0.470173 | + | 0.142543i | ||||
\(873\) | −43.4118 | − | 9.06979i | −1.46927 | − | 0.306966i | ||||
\(874\) | 68.2813 | − | 17.5038i | 2.30965 | − | 0.592075i | ||||
\(875\) | −9.77385 | + | 26.8534i | −0.330416 | + | 0.907811i | ||||
\(876\) | −38.2187 | + | 16.1094i | −1.29129 | + | 0.544288i | ||||
\(877\) | 20.8616 | − | 24.8619i | 0.704447 | − | 0.839527i | −0.288575 | − | 0.957457i | \(-0.593182\pi\) |
0.993022 | + | 0.117931i | \(0.0376260\pi\) | |||||||
\(878\) | 0.308194 | − | 0.0235956i | 0.0104011 | − | 0.000796311i | ||||
\(879\) | 4.75513 | − | 46.0115i | 0.160387 | − | 1.55193i | ||||
\(880\) | −16.5447 | − | 6.84888i | −0.557720 | − | 0.230876i | ||||
\(881\) | 9.60040 | − | 16.6284i | 0.323446 | − | 0.560224i | −0.657751 | − | 0.753235i | \(-0.728492\pi\) |
0.981197 | + | 0.193011i | \(0.0618254\pi\) | |||||||
\(882\) | 2.40614 | + | 5.78685i | 0.0810191 | + | 0.194853i | ||||
\(883\) | −2.82855 | + | 1.63307i | −0.0951884 | + | 0.0549571i | −0.546839 | − | 0.837238i | \(-0.684169\pi\) |
0.451650 | + | 0.892195i | \(0.350836\pi\) | |||||||
\(884\) | 0.510361 | + | 3.31351i | 0.0171653 | + | 0.111446i | ||||
\(885\) | −18.0068 | − | 18.5819i | −0.605293 | − | 0.624622i | ||||
\(886\) | −11.7710 | − | 5.64525i | −0.395453 | − | 0.189656i | ||||
\(887\) | 4.93246 | − | 27.9734i | 0.165616 | − | 0.939255i | −0.782811 | − | 0.622259i | \(-0.786215\pi\) |
0.948427 | − | 0.316995i | \(-0.102674\pi\) | |||||||
\(888\) | −16.9209 | − | 15.6504i | −0.567827 | − | 0.525192i | ||||
\(889\) | 36.3547 | − | 30.5052i | 1.21930 | − | 1.02311i | ||||
\(890\) | −4.11062 | − | 4.20084i | −0.137788 | − | 0.140812i | ||||
\(891\) | −1.42222 | + | 22.5960i | −0.0476461 | + | 0.756994i | ||||
\(892\) | −0.784614 | + | 36.1354i | −0.0262708 | + | 1.20990i | ||||
\(893\) | 2.61081 | + | 3.11144i | 0.0873674 | + | 0.104120i | ||||
\(894\) | 1.55155 | − | 1.75233i | 0.0518915 | − | 0.0586066i | ||||
\(895\) | 2.28979 | − | 12.9861i | 0.0765393 | − | 0.434076i | ||||
\(896\) | −23.1744 | − | 13.0334i | −0.774202 | − | 0.435414i | ||||
\(897\) | −4.52215 | + | 4.38221i | −0.150990 | + | 0.146318i | ||||
\(898\) | 47.7946 | + | 34.2452i | 1.59493 | + | 1.14278i | ||||
\(899\) | 26.0859 | − | 15.0607i | 0.870013 | − | 0.502302i | ||||
\(900\) | 8.79048 | − | 6.61337i | 0.293016 | − | 0.220446i | ||||
\(901\) | 16.5858 | + | 9.57584i | 0.552555 | + | 0.319018i | ||||
\(902\) | −10.8854 | − | 24.0212i | −0.362445 | − | 0.799819i | ||||
\(903\) | −1.13643 | + | 10.9963i | −0.0378180 | + | 0.365933i | ||||
\(904\) | −1.54225 | − | 28.1656i | −0.0512944 | − | 0.936773i | ||||
\(905\) | −18.9069 | − | 15.8648i | −0.628487 | − | 0.527363i | ||||
\(906\) | −2.53559 | − | 0.999936i | −0.0842393 | − | 0.0332206i | ||||
\(907\) | 3.87326 | − | 10.6417i | 0.128609 | − | 0.353351i | −0.858630 | − | 0.512596i | \(-0.828684\pi\) |
0.987239 | + | 0.159245i | \(0.0509059\pi\) | |||||||
\(908\) | 6.28969 | − | 10.3676i | 0.208731 | − | 0.344061i | ||||
\(909\) | −34.9430 | + | 11.4881i | −1.15898 | + | 0.381038i | ||||
\(910\) | 3.18743 | + | 0.891263i | 0.105662 | + | 0.0295451i | ||||
\(911\) | −1.07530 | − | 6.09830i | −0.0356261 | − | 0.202046i | 0.961799 | − | 0.273755i | \(-0.0882658\pi\) |
−0.997426 | + | 0.0717092i | \(0.977155\pi\) | |||||||
\(912\) | 10.6991 | + | 52.0670i | 0.354281 | + | 1.72411i | ||||
\(913\) | −17.7205 | + | 6.44973i | −0.586463 | + | 0.213455i | ||||
\(914\) | −1.28354 | − | 1.87611i | −0.0424559 | − | 0.0620562i | ||||
\(915\) | −1.85806 | + | 1.25799i | −0.0614257 | + | 0.0415877i | ||||
\(916\) | 36.1379 | − | 29.0101i | 1.19403 | − | 0.958521i | ||||
\(917\) | − | 31.8535i | − | 1.05190i | ||||||
\(918\) | −8.71471 | + | 20.2129i | −0.287628 | + | 0.667126i | ||||
\(919\) | 38.3693 | 1.26569 | 0.632844 | − | 0.774279i | \(-0.281887\pi\) | ||||
0.632844 | + | 0.774279i | \(0.281887\pi\) | |||||||
\(920\) | 3.90891 | − | 32.4639i | 0.128873 | − | 1.07030i | ||||
\(921\) | 3.77204 | − | 7.76809i | 0.124293 | − | 0.255967i | ||||
\(922\) | −29.1166 | + | 19.9202i | −0.958904 | + | 0.656036i | ||||
\(923\) | −2.82739 | − | 7.76819i | −0.0930646 | − | 0.255693i | ||||
\(924\) | −6.03691 | + | 19.5695i | −0.198600 | + | 0.643788i | ||||
\(925\) | 8.49480 | − | 1.49786i | 0.279307 | − | 0.0492494i | ||||
\(926\) | −49.4067 | − | 13.8150i | −1.62360 | − | 0.453989i | ||||
\(927\) | −30.6201 | + | 16.4178i | −1.00570 | + | 0.539232i | ||||
\(928\) | −44.9675 | + | 9.46820i | −1.47613 | + | 0.310809i | ||||
\(929\) | −24.3789 | − | 8.87320i | −0.799846 | − | 0.291120i | −0.0904233 | − | 0.995903i | \(-0.528822\pi\) |
−0.709423 | + | 0.704783i | \(0.751044\pi\) | |||||||
\(930\) | −15.9857 | + | 2.38271i | −0.524192 | + | 0.0781323i | ||||
\(931\) | 7.28491 | − | 8.68182i | 0.238753 | − | 0.284535i | ||||
\(932\) | −12.2265 | + | 13.9447i | −0.400494 | + | 0.456774i | ||||
\(933\) | 16.4630 | − | 22.7424i | 0.538974 | − | 0.744553i | ||||
\(934\) | −4.64205 | − | 10.2438i | −0.151893 | − | 0.335186i | ||||
\(935\) | −6.70452 | + | 11.6126i | −0.219261 | + | 0.379772i | ||||
\(936\) | −3.13614 | − | 3.56560i | −0.102508 | − | 0.116545i | ||||
\(937\) | 9.82408 | + | 17.0158i | 0.320939 | + | 0.555882i | 0.980682 | − | 0.195609i | \(-0.0626684\pi\) |
−0.659743 | + | 0.751491i | \(0.729335\pi\) | |||||||
\(938\) | 11.0994 | − | 15.4909i | 0.362408 | − | 0.505797i | ||||
\(939\) | −6.51317 | + | 22.8641i | −0.212549 | + | 0.746141i | ||||
\(940\) | 1.78408 | − | 0.605825i | 0.0581901 | − | 0.0197598i | ||||
\(941\) | 13.6658 | + | 2.40964i | 0.445491 | + | 0.0785520i | 0.391894 | − | 0.920011i | \(-0.371820\pi\) |
0.0535973 | + | 0.998563i | \(0.482931\pi\) | |||||||
\(942\) | 5.58151 | + | 16.7030i | 0.181856 | + | 0.544213i | ||||
\(943\) | 36.8917 | − | 30.9558i | 1.20136 | − | 1.00806i | ||||
\(944\) | −1.45760 | + | 33.5490i | −0.0474407 | + | 1.09193i | ||||
\(945\) | 14.6242 | + | 16.0724i | 0.475725 | + | 0.522836i | ||||
\(946\) | 6.90594 | − | 6.75761i | 0.224531 | − | 0.219709i | ||||
\(947\) | −22.0765 | − | 26.3098i | −0.717391 | − | 0.854953i | 0.276984 | − | 0.960875i | \(-0.410665\pi\) |
−0.994375 | + | 0.105921i | \(0.966221\pi\) | |||||||
\(948\) | 21.9539 | + | 33.9931i | 0.713030 | + | 1.10405i | ||||
\(949\) | −6.59849 | − | 1.16349i | −0.214196 | − | 0.0377685i | ||||
\(950\) | −17.9367 | − | 8.60227i | −0.581943 | − | 0.279094i | ||||
\(951\) | −2.35003 | − | 9.35611i | −0.0762048 | − | 0.303393i | ||||
\(952\) | −11.9451 | + | 15.9291i | −0.387142 | + | 0.516266i | ||||
\(953\) | 7.72473 | + | 13.3796i | 0.250228 | + | 0.433408i | 0.963589 | − | 0.267389i | \(-0.0861609\pi\) |
−0.713360 | + | 0.700798i | \(0.752828\pi\) | |||||||
\(954\) | −27.0988 | + | 1.21979i | −0.877356 | + | 0.0394922i | ||||
\(955\) | −12.7813 | − | 7.37926i | −0.413592 | − | 0.238787i | ||||
\(956\) | 6.81073 | − | 17.5193i | 0.220275 | − | 0.566615i | ||||
\(957\) | 14.4530 | + | 32.3106i | 0.467198 | + | 1.04445i | ||||
\(958\) | 23.0951 | − | 1.76817i | 0.746168 | − | 0.0571271i | ||||
\(959\) | 14.5389 | + | 12.1996i | 0.469484 | + | 0.393944i | ||||
\(960\) | 24.3098 | + | 4.12566i | 0.784595 | + | 0.133155i | ||||
\(961\) | 16.2109 | + | 5.90028i | 0.522932 | + | 0.190332i | ||||
\(962\) | −0.924623 | − | 3.60690i | −0.0298110 | − | 0.116291i | ||||
\(963\) | −1.69109 | − | 11.7364i | −0.0544945 | − | 0.378201i | ||||
\(964\) | 46.8577 | − | 25.7135i | 1.50918 | − | 0.828177i | ||||
\(965\) | 16.7651 | − | 2.95613i | 0.539687 | − | 0.0951613i | ||||
\(966\) | −37.3841 | − | 0.993509i | −1.20281 | − | 0.0319656i | ||||
\(967\) | −23.1303 | + | 8.41874i | −0.743820 | + | 0.270728i | −0.686003 | − | 0.727599i | \(-0.740636\pi\) |
−0.0578171 | + | 0.998327i | \(0.518414\pi\) | |||||||
\(968\) | −11.0647 | + | 7.22237i | −0.355632 | + | 0.232136i | ||||
\(969\) | 39.7031 | − | 2.84569i | 1.27545 | − | 0.0914168i | ||||
\(970\) | 37.0238 | + | 3.64453i | 1.18876 | + | 0.117019i | ||||
\(971\) | − | 14.5202i | − | 0.465977i | −0.972480 | − | 0.232988i | \(-0.925150\pi\) | ||
0.972480 | − | 0.232988i | \(-0.0748504\pi\) | |||||||
\(972\) | −5.01373 | − | 30.7711i | −0.160815 | − | 0.986984i | ||||
\(973\) | − | 45.0556i | − | 1.44442i | ||||||
\(974\) | 0.587571 | − | 5.96898i | 0.0188270 | − | 0.191258i | ||||
\(975\) | 1.77257 | − | 0.127047i | 0.0567675 | − | 0.00406877i | ||||
\(976\) | 2.84316 | + | 0.629677i | 0.0910075 | + | 0.0201555i | ||||
\(977\) | 1.09977 | − | 0.400283i | 0.0351847 | − | 0.0128062i | −0.324368 | − | 0.945931i | \(-0.605152\pi\) |
0.359553 | + | 0.933125i | \(0.382929\pi\) | |||||||
\(978\) | −0.0509655 | + | 1.91775i | −0.00162970 | + | 0.0613228i | ||||
\(979\) | 5.78596 | − | 1.02022i | 0.184920 | − | 0.0326064i | ||||
\(980\) | −2.52918 | − | 4.60892i | −0.0807917 | − | 0.147226i | ||||
\(981\) | 2.19459 | + | 15.2308i | 0.0700679 | + | 0.486283i | ||||
\(982\) | 17.2645 | − | 4.42573i | 0.550933 | − | 0.141231i | ||||
\(983\) | −10.8380 | − | 3.94472i | −0.345679 | − | 0.125817i | 0.163345 | − | 0.986569i | \(-0.447772\pi\) |
−0.509025 | + | 0.860752i | \(0.669994\pi\) | |||||||
\(984\) | 21.9735 | + | 28.9136i | 0.700491 | + | 0.921733i | ||||
\(985\) | 19.7330 | + | 16.5579i | 0.628745 | + | 0.527579i | ||||
\(986\) | 2.62693 | + | 34.3118i | 0.0836586 | + | 1.09271i | ||||
\(987\) | −0.879896 | − | 1.96707i | −0.0280074 | − | 0.0626124i | ||||
\(988\) | −3.11146 | + | 8.00363i | −0.0989886 | + | 0.254629i | ||||
\(989\) | 15.2801 | + | 8.82198i | 0.485879 | + | 0.280523i | ||||
\(990\) | −0.854037 | − | 18.9732i | −0.0271431 | − | 0.603008i | ||||
\(991\) | −28.8387 | − | 49.9500i | −0.916091 | − | 1.58672i | −0.805297 | − | 0.592872i | \(-0.797994\pi\) |
−0.110794 | − | 0.993843i | \(-0.535339\pi\) | |||||||
\(992\) | 16.5039 | + | 12.9453i | 0.524001 | + | 0.411012i | ||||
\(993\) | −9.76135 | − | 38.8626i | −0.309767 | − | 1.23327i | ||||
\(994\) | 21.2300 | − | 44.2669i | 0.673374 | − | 1.40406i | ||||
\(995\) | −46.3767 | − | 8.17746i | −1.47024 | − | 0.259243i | ||||
\(996\) | 21.8139 | − | 14.0881i | 0.691199 | − | 0.446400i | ||||
\(997\) | −1.71942 | − | 2.04913i | −0.0544547 | − | 0.0648966i | 0.738130 | − | 0.674659i | \(-0.235709\pi\) |
−0.792584 | + | 0.609762i | \(0.791265\pi\) | |||||||
\(998\) | 16.0867 | + | 16.4397i | 0.509214 | + | 0.520391i | ||||
\(999\) | 7.43315 | − | 23.2896i | 0.235175 | − | 0.736849i |
(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 | 216.2.t.a.157.19 | ✓ | 204 | |
3.2 | odd | 2 | 648.2.t.a.37.16 | 204 | |||
4.3 | odd | 2 | 864.2.bf.a.49.17 | 204 | |||
8.3 | odd | 2 | 864.2.bf.a.49.18 | 204 | |||
8.5 | even | 2 | inner | 216.2.t.a.157.34 | yes | 204 | |
24.5 | odd | 2 | 648.2.t.a.37.1 | 204 | |||
27.11 | odd | 18 | 648.2.t.a.613.1 | 204 | |||
27.16 | even | 9 | inner | 216.2.t.a.205.34 | yes | 204 | |
108.43 | odd | 18 | 864.2.bf.a.529.18 | 204 | |||
216.43 | odd | 18 | 864.2.bf.a.529.17 | 204 | |||
216.173 | odd | 18 | 648.2.t.a.613.16 | 204 | |||
216.205 | even | 18 | inner | 216.2.t.a.205.19 | yes | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.t.a.157.19 | ✓ | 204 | 1.1 | even | 1 | trivial | |
216.2.t.a.157.34 | yes | 204 | 8.5 | even | 2 | inner | |
216.2.t.a.205.19 | yes | 204 | 216.205 | even | 18 | inner | |
216.2.t.a.205.34 | yes | 204 | 27.16 | even | 9 | inner | |
648.2.t.a.37.1 | 204 | 24.5 | odd | 2 | |||
648.2.t.a.37.16 | 204 | 3.2 | odd | 2 | |||
648.2.t.a.613.1 | 204 | 27.11 | odd | 18 | |||
648.2.t.a.613.16 | 204 | 216.173 | odd | 18 | |||
864.2.bf.a.49.17 | 204 | 4.3 | odd | 2 | |||
864.2.bf.a.49.18 | 204 | 8.3 | odd | 2 | |||
864.2.bf.a.529.17 | 204 | 216.43 | odd | 18 | |||
864.2.bf.a.529.18 | 204 | 108.43 | odd | 18 |