Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [640,2,Mod(21,640)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(640, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 13, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("640.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 640 = 2^{7} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 640.bm (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.11042572936\) |
Analytic rank: | \(0\) |
Dimension: | \(1024\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 621.61 | ||
Character | \(\chi\) | \(=\) | 640.621 |
Dual form | 640.2.bm.a.101.61 |
$q$-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 \(\left(\mathbb{Z}/640\mathbb{Z}\right)^\times\).
\(n\) | \(257\) | \(261\) | \(511\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{23}{32}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41105 | + | 0.0944946i | 0.997765 | + | 0.0668178i | ||||
\(3\) | −1.53516 | − | 0.820563i | −0.886328 | − | 0.473752i | −0.0356046 | − | 0.999366i | \(-0.511336\pi\) |
−0.850723 | + | 0.525614i | \(0.823836\pi\) | |||||||
\(4\) | 1.98214 | + | 0.266674i | 0.991071 | + | 0.133337i | ||||
\(5\) | 0.634393 | − | 0.773010i | 0.283709 | − | 0.345701i | ||||
\(6\) | −2.08866 | − | 1.30292i | −0.852692 | − | 0.531916i | ||||
\(7\) | 1.09494 | + | 0.731615i | 0.413848 | + | 0.276525i | 0.745015 | − | 0.667048i | \(-0.232442\pi\) |
−0.331167 | + | 0.943572i | \(0.607442\pi\) | |||||||
\(8\) | 2.77171 | + | 0.563593i | 0.979947 | + | 0.199260i | ||||
\(9\) | 0.0166972 | + | 0.0249891i | 0.00556572 | + | 0.00832970i | ||||
\(10\) | 0.968208 | − | 1.03081i | 0.306174 | − | 0.325971i | ||||
\(11\) | 2.79400 | + | 0.847549i | 0.842421 | + | 0.255546i | 0.681862 | − | 0.731481i | \(-0.261170\pi\) |
0.160559 | + | 0.987026i | \(0.448670\pi\) | |||||||
\(12\) | −2.82409 | − | 2.03586i | −0.815245 | − | 0.587702i | ||||
\(13\) | 0.0512124 | − | 0.0420289i | 0.0142038 | − | 0.0116567i | −0.627265 | − | 0.778806i | \(-0.715826\pi\) |
0.641468 | + | 0.767149i | \(0.278326\pi\) | |||||||
\(14\) | 1.47588 | + | 1.13581i | 0.394447 | + | 0.303559i | ||||
\(15\) | −1.60820 | + | 0.666139i | −0.415236 | + | 0.171996i | ||||
\(16\) | 3.85777 | + | 1.05717i | 0.964443 | + | 0.264293i | ||||
\(17\) | −2.15192 | − | 0.891354i | −0.521917 | − | 0.216185i | 0.106142 | − | 0.994351i | \(-0.466150\pi\) |
−0.628059 | + | 0.778166i | \(0.716150\pi\) | |||||||
\(18\) | 0.0211993 | + | 0.0368387i | 0.00499671 | + | 0.00868297i | ||||
\(19\) | 0.428359 | − | 4.34920i | 0.0982723 | − | 0.997776i | −0.811970 | − | 0.583699i | \(-0.801605\pi\) |
0.910242 | − | 0.414076i | \(-0.135895\pi\) | |||||||
\(20\) | 1.46360 | − | 1.36304i | 0.327271 | − | 0.304785i | ||||
\(21\) | −1.08058 | − | 2.02162i | −0.235801 | − | 0.441153i | ||||
\(22\) | 3.86239 | + | 1.45995i | 0.823464 | + | 0.311263i | ||||
\(23\) | 5.38872 | + | 1.07188i | 1.12363 | + | 0.223503i | 0.721725 | − | 0.692180i | \(-0.243350\pi\) |
0.401901 | + | 0.915683i | \(0.368350\pi\) | |||||||
\(24\) | −3.79256 | − | 3.13957i | −0.774154 | − | 0.640862i | ||||
\(25\) | −0.195090 | − | 0.980785i | −0.0390181 | − | 0.196157i | ||||
\(26\) | 0.0762349 | − | 0.0544657i | 0.0149509 | − | 0.0106816i | ||||
\(27\) | 0.506729 | + | 5.14491i | 0.0975200 | + | 0.990138i | ||||
\(28\) | 1.97522 | + | 1.74216i | 0.373282 | + | 0.329237i | ||||
\(29\) | −2.58840 | − | 8.53281i | −0.480654 | − | 1.58450i | −0.777051 | − | 0.629438i | \(-0.783285\pi\) |
0.296397 | − | 0.955065i | \(-0.404215\pi\) | |||||||
\(30\) | −2.33220 | + | 0.787991i | −0.425800 | + | 0.143867i | ||||
\(31\) | −0.801865 | + | 0.801865i | −0.144019 | + | 0.144019i | −0.775440 | − | 0.631421i | \(-0.782472\pi\) |
0.631421 | + | 0.775440i | \(0.282472\pi\) | |||||||
\(32\) | 5.34362 | + | 1.85626i | 0.944628 | + | 0.328144i | ||||
\(33\) | −3.59378 | − | 3.59378i | −0.625596 | − | 0.625596i | ||||
\(34\) | −2.95224 | − | 1.46109i | −0.506305 | − | 0.250575i | ||||
\(35\) | 1.26017 | − | 0.382268i | 0.213007 | − | 0.0646151i | ||||
\(36\) | 0.0264322 | + | 0.0539846i | 0.00440537 | + | 0.00899743i | ||||
\(37\) | 5.58663 | − | 0.550235i | 0.918436 | − | 0.0904581i | 0.372260 | − | 0.928128i | \(-0.378583\pi\) |
0.546176 | + | 0.837670i | \(0.316083\pi\) | |||||||
\(38\) | 1.01541 | − | 6.09648i | 0.164722 | − | 0.988979i | ||||
\(39\) | −0.113107 | + | 0.0224983i | −0.0181116 | + | 0.00360262i | ||||
\(40\) | 2.19402 | − | 1.78502i | 0.346904 | − | 0.282236i | ||||
\(41\) | −0.244736 | + | 1.23037i | −0.0382214 | + | 0.192152i | −0.995179 | − | 0.0980762i | \(-0.968731\pi\) |
0.956958 | + | 0.290228i | \(0.0937311\pi\) | |||||||
\(42\) | −1.33372 | − | 2.95472i | −0.205797 | − | 0.455923i | ||||
\(43\) | 0.489478 | − | 0.261632i | 0.0746448 | − | 0.0398985i | −0.433652 | − | 0.901080i | \(-0.642775\pi\) |
0.508297 | + | 0.861182i | \(0.330275\pi\) | |||||||
\(44\) | 5.31208 | + | 2.42505i | 0.800825 | + | 0.365590i | ||||
\(45\) | 0.0299094 | + | 0.00294582i | 0.00445863 | + | 0.000439137i | ||||
\(46\) | 7.50248 | + | 2.02169i | 1.10618 | + | 0.298082i | ||||
\(47\) | −3.62958 | + | 8.76258i | −0.529428 | + | 1.27815i | 0.402470 | + | 0.915433i | \(0.368152\pi\) |
−0.931898 | + | 0.362720i | \(0.881848\pi\) | |||||||
\(48\) | −5.05484 | − | 4.78847i | −0.729603 | − | 0.691157i | ||||
\(49\) | −2.01515 | − | 4.86501i | −0.287879 | − | 0.695001i | ||||
\(50\) | −0.182604 | − | 1.40238i | −0.0258241 | − | 0.198326i | ||||
\(51\) | 2.57214 | + | 3.13416i | 0.360171 | + | 0.438870i | ||||
\(52\) | 0.112718 | − | 0.0696502i | 0.0156312 | − | 0.00965875i | ||||
\(53\) | 1.23239 | − | 4.06265i | 0.169282 | − | 0.558048i | −0.830717 | − | 0.556695i | \(-0.812069\pi\) |
0.999999 | − | 0.00135334i | \(-0.000430783\pi\) | |||||||
\(54\) | 0.228856 | + | 7.30762i | 0.0311433 | + | 0.994441i | ||||
\(55\) | 2.42766 | − | 1.62211i | 0.327345 | − | 0.218725i | ||||
\(56\) | 2.62252 | + | 2.64492i | 0.350449 | + | 0.353443i | ||||
\(57\) | −4.22640 | + | 6.32525i | −0.559800 | + | 0.837800i | ||||
\(58\) | −2.84606 | − | 12.2848i | −0.373707 | − | 1.61308i | ||||
\(59\) | 0.288482 | + | 0.236751i | 0.0375571 | + | 0.0308223i | 0.652985 | − | 0.757371i | \(-0.273517\pi\) |
−0.615428 | + | 0.788193i | \(0.711017\pi\) | |||||||
\(60\) | −3.36533 | + | 0.891516i | −0.434462 | + | 0.115094i | ||||
\(61\) | −5.18465 | + | 9.69979i | −0.663826 | + | 1.24193i | 0.294335 | + | 0.955702i | \(0.404902\pi\) |
−0.958161 | + | 0.286229i | \(0.907598\pi\) | |||||||
\(62\) | −1.20725 | + | 1.05570i | −0.153320 | + | 0.134074i | ||||
\(63\) | 0.0395774i | 0.00498629i | ||||||||
\(64\) | 7.36473 | + | 3.12423i | 0.920591 | + | 0.390529i | ||||
\(65\) | − | 0.0662505i | − | 0.00821737i | ||||||
\(66\) | −4.73142 | − | 5.41060i | −0.582397 | − | 0.665999i | ||||
\(67\) | −1.18104 | + | 2.20958i | −0.144287 | + | 0.269943i | −0.943676 | − | 0.330872i | \(-0.892657\pi\) |
0.799388 | + | 0.600815i | \(0.205157\pi\) | |||||||
\(68\) | −4.02771 | − | 2.34065i | −0.488431 | − | 0.283845i | ||||
\(69\) | −7.39302 | − | 6.06730i | −0.890015 | − | 0.730417i | ||||
\(70\) | 1.81429 | − | 0.420321i | 0.216849 | − | 0.0502380i | ||||
\(71\) | −5.01609 | + | 7.50712i | −0.595301 | + | 0.890931i | −0.999720 | − | 0.0236428i | \(-0.992474\pi\) |
0.404420 | + | 0.914574i | \(0.367474\pi\) | |||||||
\(72\) | 0.0321960 | + | 0.0786728i | 0.00379434 | + | 0.00927168i | ||||
\(73\) | −14.1814 | + | 9.47568i | −1.65980 | + | 1.10904i | −0.795790 | + | 0.605572i | \(0.792944\pi\) |
−0.864012 | + | 0.503472i | \(0.832056\pi\) | |||||||
\(74\) | 7.93502 | − | 0.248504i | 0.922428 | − | 0.0288880i | ||||
\(75\) | −0.505300 | + | 1.66575i | −0.0583470 | + | 0.192344i | ||||
\(76\) | 2.00889 | − | 8.50650i | 0.230435 | − | 0.975763i | ||||
\(77\) | 2.43918 | + | 2.97214i | 0.277970 | + | 0.338707i | ||||
\(78\) | −0.161726 | + | 0.0210584i | −0.0183118 | + | 0.00238439i | ||||
\(79\) | 1.46071 | + | 3.52646i | 0.164343 | + | 0.396758i | 0.984501 | − | 0.175378i | \(-0.0561148\pi\) |
−0.820159 | + | 0.572136i | \(0.806115\pi\) | |||||||
\(80\) | 3.26455 | − | 2.31143i | 0.364987 | − | 0.258426i | ||||
\(81\) | 3.47831 | − | 8.39738i | 0.386479 | − | 0.933042i | ||||
\(82\) | −0.461599 | + | 1.71299i | −0.0509751 | + | 0.189168i | ||||
\(83\) | 8.00596 | + | 0.788518i | 0.878769 | + | 0.0865511i | 0.527331 | − | 0.849660i | \(-0.323193\pi\) |
0.351438 | + | 0.936211i | \(0.385693\pi\) | |||||||
\(84\) | −1.60274 | − | 4.29529i | −0.174874 | − | 0.468655i | ||||
\(85\) | −2.05419 | + | 1.09799i | −0.222808 | + | 0.119093i | ||||
\(86\) | 0.715403 | − | 0.322923i | 0.0771439 | − | 0.0348217i | ||||
\(87\) | −3.02808 | + | 15.2232i | −0.324645 | + | 1.63210i | ||||
\(88\) | 7.26647 | + | 3.92383i | 0.774608 | + | 0.418282i | ||||
\(89\) | −7.52623 | + | 1.49706i | −0.797779 | + | 0.158688i | −0.577116 | − | 0.816662i | \(-0.695822\pi\) |
−0.220663 | + | 0.975350i | \(0.570822\pi\) | |||||||
\(90\) | 0.0419254 | + | 0.00698298i | 0.00441932 | + | 0.000736071i | ||||
\(91\) | 0.0868234 | − | 0.00855136i | 0.00910157 | − | 0.000896426i | ||||
\(92\) | 10.3954 | + | 3.56165i | 1.08379 | + | 0.371328i | ||||
\(93\) | 1.88898 | − | 0.573014i | 0.195878 | − | 0.0594188i | ||||
\(94\) | −5.94954 | + | 12.0215i | −0.613649 | + | 1.23992i | ||||
\(95\) | −3.09023 | − | 3.09023i | −0.317051 | − | 0.317051i | ||||
\(96\) | −6.68016 | − | 7.23445i | −0.681791 | − | 0.738362i | ||||
\(97\) | −6.92117 | + | 6.92117i | −0.702738 | + | 0.702738i | −0.964998 | − | 0.262259i | \(-0.915533\pi\) |
0.262259 | + | 0.964998i | \(0.415533\pi\) | |||||||
\(98\) | −2.38377 | − | 7.05521i | −0.240797 | − | 0.712683i | ||||
\(99\) | 0.0254723 | + | 0.0839711i | 0.00256007 | + | 0.00843941i | ||||
\(100\) | −0.125147 | − | 1.99608i | −0.0125147 | − | 0.199608i | ||||
\(101\) | −0.465512 | − | 4.72642i | −0.0463202 | − | 0.470297i | −0.990165 | − | 0.139907i | \(-0.955320\pi\) |
0.943844 | − | 0.330390i | \(-0.107180\pi\) | |||||||
\(102\) | 3.33326 | + | 4.66552i | 0.330042 | + | 0.461955i | ||||
\(103\) | 1.35741 | + | 6.82415i | 0.133749 | + | 0.672404i | 0.988237 | + | 0.152932i | \(0.0488714\pi\) |
−0.854487 | + | 0.519472i | \(0.826129\pi\) | |||||||
\(104\) | 0.165633 | − | 0.0876289i | 0.0162416 | − | 0.00859272i | ||||
\(105\) | −2.24824 | − | 0.447203i | −0.219406 | − | 0.0436425i | ||||
\(106\) | 2.12287 | − | 5.61616i | 0.206191 | − | 0.545490i | ||||
\(107\) | 0.814933 | + | 1.52463i | 0.0787826 | + | 0.147392i | 0.918228 | − | 0.396052i | \(-0.129620\pi\) |
−0.839445 | + | 0.543444i | \(0.817120\pi\) | |||||||
\(108\) | −0.367603 | + | 10.3331i | −0.0353726 | + | 0.994299i | ||||
\(109\) | 0.535459 | − | 5.43660i | 0.0512877 | − | 0.520732i | −0.934878 | − | 0.354969i | \(-0.884491\pi\) |
0.986166 | − | 0.165763i | \(-0.0530087\pi\) | |||||||
\(110\) | 3.57883 | − | 2.05948i | 0.341228 | − | 0.196364i | ||||
\(111\) | −9.02790 | − | 3.73948i | −0.856890 | − | 0.354936i | ||||
\(112\) | 3.45058 | + | 3.97994i | 0.326049 | + | 0.376069i | ||||
\(113\) | −3.00845 | + | 1.24614i | −0.283011 | + | 0.117227i | −0.519674 | − | 0.854365i | \(-0.673946\pi\) |
0.236662 | + | 0.971592i | \(0.423946\pi\) | |||||||
\(114\) | −6.56137 | + | 8.52589i | −0.614529 | + | 0.798523i | ||||
\(115\) | 4.24714 | − | 3.48554i | 0.396048 | − | 0.325028i | ||||
\(116\) | −2.85510 | − | 17.6035i | −0.265089 | − | 1.63444i | ||||
\(117\) | 0.00190537 | 0.000577986i | 0.000176151 | 5.34348e-5i | ||||||
\(118\) | 0.384691 | + | 0.361328i | 0.0354137 | + | 0.0332629i | ||||
\(119\) | −1.70409 | − | 2.55035i | −0.156214 | − | 0.233791i | ||||
\(120\) | −4.83290 | + | 0.939972i | −0.441181 | + | 0.0858073i | ||||
\(121\) | −2.05810 | − | 1.37518i | −0.187100 | − | 0.125016i | ||||
\(122\) | −8.23239 | + | 13.1970i | −0.745326 | + | 1.19480i | ||||
\(123\) | 1.38531 | − | 1.68800i | 0.124909 | − | 0.152202i | ||||
\(124\) | −1.80325 | + | 1.37557i | −0.161936 | + | 0.123530i | ||||
\(125\) | −0.881921 | − | 0.471397i | −0.0788814 | − | 0.0421630i | ||||
\(126\) | −0.00373986 | + | 0.0558459i | −0.000333173 | + | 0.00497515i | ||||
\(127\) | −12.0053 | −1.06530 | −0.532650 | − | 0.846335i | \(-0.678804\pi\) | ||||
−0.532650 | + | 0.846335i | \(0.678804\pi\) | |||||||
\(128\) | 10.0968 | + | 5.10438i | 0.892439 | + | 0.451168i | ||||
\(129\) | −0.966115 | −0.0850617 | ||||||||
\(130\) | 0.00626032 | − | 0.0934830i | 0.000549066 | − | 0.00819900i | ||||
\(131\) | −1.41695 | − | 0.757374i | −0.123799 | − | 0.0661721i | 0.408335 | − | 0.912832i | \(-0.366110\pi\) |
−0.532134 | + | 0.846660i | \(0.678610\pi\) | |||||||
\(132\) | −6.16501 | − | 8.08174i | −0.536595 | − | 0.703425i | ||||
\(133\) | 3.65097 | − | 4.44872i | 0.316579 | − | 0.385753i | ||||
\(134\) | −1.87531 | + | 3.00623i | −0.162002 | + | 0.259698i | ||||
\(135\) | 4.29853 | + | 2.87219i | 0.369959 | + | 0.247198i | ||||
\(136\) | −5.46213 | − | 3.68338i | −0.468374 | − | 0.315847i | ||||
\(137\) | 9.38553 | + | 14.0464i | 0.801860 | + | 1.20007i | 0.976517 | + | 0.215439i | \(0.0691184\pi\) |
−0.174657 | + | 0.984629i | \(0.555882\pi\) | |||||||
\(138\) | −9.85862 | − | 9.25988i | −0.839221 | − | 0.788253i | ||||
\(139\) | −0.290092 | − | 0.0879984i | −0.0246053 | − | 0.00746393i | 0.277958 | − | 0.960593i | \(-0.410342\pi\) |
−0.302563 | + | 0.953129i | \(0.597842\pi\) | |||||||
\(140\) | 2.59977 | − | 0.421655i | 0.219721 | − | 0.0356364i | ||||
\(141\) | 12.7622 | − | 10.4737i | 1.07478 | − | 0.882045i | ||||
\(142\) | −7.78736 | + | 10.1189i | −0.653501 | + | 0.849163i | ||||
\(143\) | 0.178709 | − | 0.0740235i | 0.0149444 | − | 0.00619016i | ||||
\(144\) | 0.0379961 | + | 0.114054i | 0.00316634 | + | 0.00950449i | ||||
\(145\) | −8.23801 | − | 3.41230i | −0.684130 | − | 0.283376i | ||||
\(146\) | −20.9060 | + | 12.0306i | −1.73020 | + | 0.995661i | ||||
\(147\) | −0.898453 | + | 9.12215i | −0.0741032 | + | 0.752382i | ||||
\(148\) | 11.2202 | + | 0.399164i | 0.922297 | + | 0.0328111i | ||||
\(149\) | 5.68713 | + | 10.6399i | 0.465908 | + | 0.871652i | 0.999662 | + | 0.0260123i | \(0.00828092\pi\) |
−0.533754 | + | 0.845640i | \(0.679219\pi\) | |||||||
\(150\) | −0.870410 | + | 2.30271i | −0.0710686 | + | 0.188016i | ||||
\(151\) | −14.8924 | − | 2.96228i | −1.21192 | − | 0.241067i | −0.452560 | − | 0.891734i | \(-0.649489\pi\) |
−0.759363 | + | 0.650667i | \(0.774489\pi\) | |||||||
\(152\) | 3.63847 | − | 11.8133i | 0.295119 | − | 0.958185i | ||||
\(153\) | −0.0136568 | − | 0.0686576i | −0.00110409 | − | 0.00555063i | ||||
\(154\) | 3.16095 | + | 4.42434i | 0.254717 | + | 0.356524i | ||||
\(155\) | 0.111152 | + | 1.12855i | 0.00892796 | + | 0.0906471i | ||||
\(156\) | −0.230193 | + | 0.0144323i | −0.0184302 | + | 0.00115551i | ||||
\(157\) | 0.689464 | + | 2.27286i | 0.0550252 | + | 0.181394i | 0.980145 | − | 0.198281i | \(-0.0635359\pi\) |
−0.925120 | + | 0.379675i | \(0.876036\pi\) | |||||||
\(158\) | 1.72791 | + | 5.11406i | 0.137465 | + | 0.406853i | ||||
\(159\) | −5.22559 | + | 5.22559i | −0.414416 | + | 0.414416i | ||||
\(160\) | 4.82487 | − | 2.95307i | 0.381439 | − | 0.233461i | ||||
\(161\) | 5.11611 | + | 5.11611i | 0.403206 | + | 0.403206i | ||||
\(162\) | 5.70159 | − | 11.5205i | 0.447959 | − | 0.905133i | ||||
\(163\) | −19.4775 | + | 5.90844i | −1.52560 | + | 0.462784i | −0.938077 | − | 0.346426i | \(-0.887395\pi\) |
−0.587519 | + | 0.809211i | \(0.699895\pi\) | |||||||
\(164\) | −0.813209 | + | 2.37351i | −0.0635010 | + | 0.185340i | ||||
\(165\) | −5.05789 | + | 0.498159i | −0.393757 | + | 0.0387816i | ||||
\(166\) | 11.2223 | + | 1.86916i | 0.871022 | + | 0.145075i | ||||
\(167\) | 11.1234 | − | 2.21258i | 0.860755 | − | 0.171215i | 0.255073 | − | 0.966922i | \(-0.417900\pi\) |
0.605682 | + | 0.795707i | \(0.292900\pi\) | |||||||
\(168\) | −1.85567 | − | 6.21233i | −0.143168 | − | 0.479292i | ||||
\(169\) | −2.53532 | + | 12.7459i | −0.195024 | + | 0.980454i | ||||
\(170\) | −3.00232 | + | 1.35521i | −0.230268 | + | 0.103940i | ||||
\(171\) | 0.115835 | − | 0.0619151i | 0.00885812 | − | 0.00473477i | ||||
\(172\) | 1.03999 | − | 0.388060i | 0.0792982 | − | 0.0295893i | ||||
\(173\) | −3.37719 | − | 0.332624i | −0.256763 | − | 0.0252889i | −0.0311832 | − | 0.999514i | \(-0.509928\pi\) |
−0.225579 | + | 0.974225i | \(0.572428\pi\) | |||||||
\(174\) | −5.71130 | + | 21.1946i | −0.432973 | + | 1.60676i | ||||
\(175\) | 0.503945 | − | 1.21663i | 0.0380947 | − | 0.0919687i | ||||
\(176\) | 9.88259 | + | 6.22338i | 0.744928 | + | 0.469105i | ||||
\(177\) | −0.248598 | − | 0.600169i | −0.0186858 | − | 0.0451115i | ||||
\(178\) | −10.7614 | + | 1.40124i | −0.806600 | + | 0.105028i | ||||
\(179\) | 9.52794 | + | 11.6098i | 0.712152 | + | 0.867760i | 0.995836 | − | 0.0911581i | \(-0.0290569\pi\) |
−0.283685 | + | 0.958918i | \(0.591557\pi\) | |||||||
\(180\) | 0.0584991 | + | 0.0138151i | 0.00436026 | + | 0.00102972i | ||||
\(181\) | 7.10092 | − | 23.4086i | 0.527807 | − | 1.73995i | −0.134696 | − | 0.990887i | \(-0.543006\pi\) |
0.662503 | − | 0.749059i | \(-0.269494\pi\) | |||||||
\(182\) | 0.123320 | − | 0.00386208i | 0.00914112 | − | 0.000286276i | ||||
\(183\) | 15.9186 | − | 10.6365i | 1.17674 | − | 0.786269i | ||||
\(184\) | 14.3318 | + | 6.00799i | 1.05656 | + | 0.442915i | ||||
\(185\) | 3.11878 | − | 4.66759i | 0.229297 | − | 0.343168i | ||||
\(186\) | 2.71959 | − | 0.630056i | 0.199410 | − | 0.0461979i | ||||
\(187\) | −5.25698 | − | 4.31430i | −0.384429 | − | 0.315493i | ||||
\(188\) | −9.53109 | + | 16.4008i | −0.695126 | + | 1.19615i | ||||
\(189\) | −3.20925 | + | 6.00409i | −0.233439 | + | 0.436733i | ||||
\(190\) | −4.06847 | − | 4.65249i | −0.295158 | − | 0.337527i | ||||
\(191\) | − | 19.8293i | − | 1.43480i | −0.696663 | − | 0.717398i | \(-0.745333\pi\) | ||
0.696663 | − | 0.717398i | \(-0.254667\pi\) | |||||||
\(192\) | −8.74244 | − | 10.8394i | −0.630932 | − | 0.782268i | ||||
\(193\) | − | 1.13489i | − | 0.0816910i | −0.999165 | − | 0.0408455i | \(-0.986995\pi\) | ||
0.999165 | − | 0.0408455i | \(-0.0130051\pi\) | |||||||
\(194\) | −10.4202 | + | 9.11213i | −0.748123 | + | 0.654213i | ||||
\(195\) | −0.0543627 | + | 0.101705i | −0.00389300 | + | 0.00728328i | ||||
\(196\) | −2.69695 | − | 10.1805i | −0.192639 | − | 0.727180i | ||||
\(197\) | −8.40366 | − | 6.89671i | −0.598736 | − | 0.491370i | 0.285520 | − | 0.958373i | \(-0.407834\pi\) |
−0.884256 | + | 0.467003i | \(0.845334\pi\) | |||||||
\(198\) | 0.0280080 | + | 0.120895i | 0.00199044 | + | 0.00859161i | ||||
\(199\) | 10.2545 | − | 15.3469i | 0.726920 | − | 1.08791i | −0.265391 | − | 0.964141i | \(-0.585501\pi\) |
0.992311 | − | 0.123771i | \(-0.0394989\pi\) | |||||||
\(200\) | 0.0120301 | − | 2.82840i | 0.000850656 | − | 0.199998i | ||||
\(201\) | 3.62619 | − | 2.42294i | 0.255772 | − | 0.170901i | ||||
\(202\) | −0.210241 | − | 6.71322i | −0.0147925 | − | 0.472341i | ||||
\(203\) | 3.40859 | − | 11.2366i | 0.239236 | − | 0.788656i | ||||
\(204\) | 4.26254 | + | 6.89827i | 0.298438 | + | 0.482975i | ||||
\(205\) | 0.795831 | + | 0.969723i | 0.0555832 | + | 0.0677284i | ||||
\(206\) | 1.27053 | + | 9.75751i | 0.0885220 | + | 0.679838i | ||||
\(207\) | 0.0631910 | + | 0.152557i | 0.00439208 | + | 0.0106034i | ||||
\(208\) | 0.241997 | − | 0.107998i | 0.0167795 | − | 0.00748829i | ||||
\(209\) | 4.88300 | − | 11.7886i | 0.337764 | − | 0.815434i | ||||
\(210\) | −3.13013 | − | 0.843474i | −0.215999 | − | 0.0582052i | ||||
\(211\) | 19.4504 | + | 1.91570i | 1.33902 | + | 0.131882i | 0.742031 | − | 0.670366i | \(-0.233863\pi\) |
0.596991 | + | 0.802248i | \(0.296363\pi\) | |||||||
\(212\) | 3.52618 | − | 7.72411i | 0.242179 | − | 0.530494i | ||||
\(213\) | 13.8606 | − | 7.40864i | 0.949712 | − | 0.507632i | ||||
\(214\) | 1.00584 | + | 2.22835i | 0.0687581 | + | 0.152327i | ||||
\(215\) | 0.108278 | − | 0.544349i | 0.00738448 | − | 0.0371243i | ||||
\(216\) | −1.49513 | + | 14.5458i | −0.101730 | + | 0.989714i | ||||
\(217\) | −1.46465 | + | 0.291337i | −0.0994269 | + | 0.0197772i | ||||
\(218\) | 1.26929 | − | 7.62074i | 0.0859672 | − | 0.516142i | ||||
\(219\) | 29.5461 | − | 2.91004i | 1.99654 | − | 0.196642i | ||||
\(220\) | 5.24453 | − | 2.56786i | 0.353586 | − | 0.173125i | ||||
\(221\) | −0.147667 | + | 0.0447944i | −0.00993319 | + | 0.00301320i | ||||
\(222\) | −12.3855 | − | 6.12969i | −0.831259 | − | 0.411398i | ||||
\(223\) | −8.60443 | − | 8.60443i | −0.576195 | − | 0.576195i | 0.357657 | − | 0.933853i | \(-0.383576\pi\) |
−0.933853 | + | 0.357657i | \(0.883576\pi\) | |||||||
\(224\) | 4.49287 | + | 5.94197i | 0.300193 | + | 0.397015i | ||||
\(225\) | 0.0212515 | − | 0.0212515i | 0.00141676 | − | 0.00141676i | ||||
\(226\) | −4.36284 | + | 1.47409i | −0.290211 | + | 0.0980549i | ||||
\(227\) | −0.305082 | − | 1.00572i | −0.0202490 | − | 0.0667519i | 0.946234 | − | 0.323484i | \(-0.104854\pi\) |
−0.966483 | + | 0.256732i | \(0.917354\pi\) | |||||||
\(228\) | −10.0641 | + | 11.4105i | −0.666511 | + | 0.755677i | ||||
\(229\) | −1.29415 | − | 13.1397i | −0.0855195 | − | 0.868295i | −0.938253 | − | 0.345949i | \(-0.887557\pi\) |
0.852734 | − | 0.522346i | \(-0.174943\pi\) | |||||||
\(230\) | 6.32231 | − | 4.51695i | 0.416881 | − | 0.297839i | ||||
\(231\) | −1.30571 | − | 6.56423i | −0.0859092 | − | 0.431894i | ||||
\(232\) | −2.36526 | − | 25.1093i | −0.155287 | − | 1.64850i | ||||
\(233\) | 22.2073 | + | 4.41730i | 1.45485 | + | 0.289387i | 0.858282 | − | 0.513179i | \(-0.171532\pi\) |
0.596564 | + | 0.802566i | \(0.296532\pi\) | |||||||
\(234\) | 0.00263395 | 0.000995616i | 0.000172187 | 6.50855e-5i | ||||||
\(235\) | 4.47098 | + | 8.36462i | 0.291655 | + | 0.545648i | ||||
\(236\) | 0.508676 | + | 0.546204i | 0.0331120 | + | 0.0355549i | ||||
\(237\) | 0.651255 | − | 6.61231i | 0.0423036 | − | 0.429516i | ||||
\(238\) | −2.16357 | − | 3.75971i | −0.140243 | − | 0.243706i | ||||
\(239\) | −2.85248 | − | 1.18153i | −0.184511 | − | 0.0764271i | 0.288515 | − | 0.957475i | \(-0.406838\pi\) |
−0.473026 | + | 0.881048i | \(0.656838\pi\) | |||||||
\(240\) | −6.90830 | + | 0.869667i | −0.445929 | + | 0.0561368i | ||||
\(241\) | 17.5624 | − | 7.27457i | 1.13129 | − | 0.468596i | 0.263071 | − | 0.964776i | \(-0.415265\pi\) |
0.868219 | + | 0.496180i | \(0.165265\pi\) | |||||||
\(242\) | −2.77413 | − | 2.13492i | −0.178328 | − | 0.137238i | ||||
\(243\) | −0.241426 | + | 0.198134i | −0.0154875 | + | 0.0127103i | ||||
\(244\) | −12.8634 | + | 17.8438i | −0.823494 | + | 1.14233i | ||||
\(245\) | −5.03910 | − | 1.52859i | −0.321936 | − | 0.0976583i | ||||
\(246\) | 2.11425 | − | 2.25096i | 0.134800 | − | 0.143516i | ||||
\(247\) | −0.160855 | − | 0.240736i | −0.0102350 | − | 0.0153177i | ||||
\(248\) | −2.67446 | + | 1.77061i | −0.169828 | + | 0.112434i | ||||
\(249\) | −11.6434 | − | 7.77990i | −0.737873 | − | 0.493031i | ||||
\(250\) | −1.19989 | − | 0.748503i | −0.0758879 | − | 0.0473395i | ||||
\(251\) | −12.9202 | + | 15.7434i | −0.815518 | + | 0.993712i | 0.184423 | + | 0.982847i | \(0.440958\pi\) |
−0.999941 | + | 0.0108650i | \(0.996542\pi\) | |||||||
\(252\) | −0.0105543 | + | 0.0784481i | −0.000664856 | + | 0.00494176i | ||||
\(253\) | 14.1476 | + | 7.56204i | 0.889451 | + | 0.475421i | ||||
\(254\) | −16.9402 | − | 1.13444i | −1.06292 | − | 0.0711810i | ||||
\(255\) | 4.05448 | 0.253902 | ||||||||
\(256\) | 13.7648 | + | 8.15664i | 0.860299 | + | 0.509790i | ||||
\(257\) | 22.9495 | 1.43155 | 0.715775 | − | 0.698331i | \(-0.246074\pi\) | ||||
0.715775 | + | 0.698331i | \(0.246074\pi\) | |||||||
\(258\) | −1.36324 | − | 0.0912927i | −0.0848716 | − | 0.00568363i | ||||
\(259\) | 6.51958 | + | 3.48479i | 0.405107 | + | 0.216534i | ||||
\(260\) | 0.0176673 | − | 0.131318i | 0.00109568 | − | 0.00814399i | ||||
\(261\) | 0.170008 | − | 0.207156i | 0.0105232 | − | 0.0128226i | ||||
\(262\) | −1.92782 | − | 1.20259i | −0.119101 | − | 0.0742962i | ||||
\(263\) | −10.8410 | − | 7.24373i | −0.668485 | − | 0.446667i | 0.174462 | − | 0.984664i | \(-0.444181\pi\) |
−0.842947 | + | 0.537997i | \(0.819181\pi\) | |||||||
\(264\) | −7.93547 | − | 11.9863i | −0.488394 | − | 0.737707i | ||||
\(265\) | −2.35865 | − | 3.52997i | −0.144891 | − | 0.216844i | ||||
\(266\) | 5.57209 | − | 5.93238i | 0.341647 | − | 0.363738i | ||||
\(267\) | 12.7824 | + | 3.87751i | 0.782273 | + | 0.237300i | ||||
\(268\) | −2.93023 | + | 4.06474i | −0.178992 | + | 0.248294i | ||||
\(269\) | 11.2150 | − | 9.20387i | 0.683788 | − | 0.561170i | −0.227076 | − | 0.973877i | \(-0.572917\pi\) |
0.910864 | + | 0.412707i | \(0.135417\pi\) | |||||||
\(270\) | 5.79405 | + | 4.45900i | 0.352615 | + | 0.271366i | ||||
\(271\) | −28.6212 | + | 11.8553i | −1.73862 | + | 0.720158i | −0.739734 | + | 0.672900i | \(0.765048\pi\) |
−0.998883 | + | 0.0472586i | \(0.984952\pi\) | |||||||
\(272\) | −7.35929 | − | 5.71358i | −0.446223 | − | 0.346437i | ||||
\(273\) | −0.140305 | − | 0.0581163i | −0.00849165 | − | 0.00351736i | ||||
\(274\) | 11.9162 | + | 20.7072i | 0.719882 | + | 1.25097i | ||||
\(275\) | 0.286182 | − | 2.90566i | 0.0172574 | − | 0.175218i | ||||
\(276\) | −13.0360 | − | 13.9978i | −0.784677 | − | 0.842567i | ||||
\(277\) | −2.26770 | − | 4.24256i | −0.136253 | − | 0.254911i | 0.804536 | − | 0.593903i | \(-0.202414\pi\) |
−0.940789 | + | 0.338993i | \(0.889914\pi\) | |||||||
\(278\) | −0.401020 | − | 0.151583i | −0.0240516 | − | 0.00909132i | ||||
\(279\) | −0.0334267 | − | 0.00664899i | −0.00200121 | − | 0.000398065i | ||||
\(280\) | 3.70826 | − | 0.349313i | 0.221611 | − | 0.0208755i | ||||
\(281\) | 1.10795 | + | 5.57006i | 0.0660950 | + | 0.332282i | 0.999659 | − | 0.0261299i | \(-0.00831836\pi\) |
−0.933564 | + | 0.358412i | \(0.883318\pi\) | |||||||
\(282\) | 18.9979 | − | 13.5730i | 1.13131 | − | 0.808260i | ||||
\(283\) | 0.652273 | + | 6.62263i | 0.0387736 | + | 0.393675i | 0.994911 | + | 0.100757i | \(0.0321263\pi\) |
−0.956138 | + | 0.292918i | \(0.905374\pi\) | |||||||
\(284\) | −11.9446 | + | 13.5425i | −0.708779 | + | 0.803600i | ||||
\(285\) | 2.20829 | + | 7.27974i | 0.130808 | + | 0.431215i | ||||
\(286\) | 0.259162 | − | 0.0875641i | 0.0153246 | − | 0.00517778i | ||||
\(287\) | −1.16813 | + | 1.16813i | −0.0689525 | + | 0.0689525i | ||||
\(288\) | 0.0428371 | + | 0.164527i | 0.00252420 | + | 0.00969482i | ||||
\(289\) | −8.18457 | − | 8.18457i | −0.481446 | − | 0.481446i | ||||
\(290\) | −11.3018 | − | 5.59338i | −0.663666 | − | 0.328455i | ||||
\(291\) | 16.3044 | − | 4.94588i | 0.955780 | − | 0.289933i | ||||
\(292\) | −30.6364 | + | 15.0003i | −1.79286 | + | 0.877828i | ||||
\(293\) | −12.3316 | + | 1.21456i | −0.720419 | + | 0.0709551i | −0.451581 | − | 0.892230i | \(-0.649140\pi\) |
−0.268838 | + | 0.963185i | \(0.586640\pi\) | |||||||
\(294\) | −2.12976 | + | 12.7869i | −0.124210 | + | 0.745749i | ||||
\(295\) | 0.366022 | − | 0.0728063i | 0.0213106 | − | 0.00423895i | ||||
\(296\) | 15.7946 | + | 1.62349i | 0.918043 | + | 0.0943636i | ||||
\(297\) | −2.94476 | + | 14.8043i | −0.170872 | + | 0.859034i | ||||
\(298\) | 7.01943 | + | 15.5508i | 0.406625 | + | 0.900835i | ||||
\(299\) | 0.321019 | − | 0.171588i | 0.0185650 | − | 0.00992320i | ||||
\(300\) | −1.44579 | + | 3.16700i | −0.0834726 | + | 0.182847i | ||||
\(301\) | 0.727363 | + | 0.0716390i | 0.0419245 | + | 0.00412920i | ||||
\(302\) | −20.7340 | − | 5.58718i | −1.19311 | − | 0.321506i | ||||
\(303\) | −3.16369 | + | 7.63782i | −0.181749 | + | 0.438781i | ||||
\(304\) | 6.25036 | − | 16.3254i | 0.358483 | − | 0.936325i | ||||
\(305\) | 4.20894 | + | 10.1613i | 0.241003 | + | 0.581833i | ||||
\(306\) | −0.0127828 | − | 0.0981700i | −0.000730741 | − | 0.00561200i | ||||
\(307\) | 4.72638 | + | 5.75911i | 0.269749 | + | 0.328690i | 0.890213 | − | 0.455545i | \(-0.150556\pi\) |
−0.620464 | + | 0.784235i | \(0.713056\pi\) | |||||||
\(308\) | 4.04220 | + | 6.54167i | 0.230326 | + | 0.372747i | ||||
\(309\) | 3.51580 | − | 11.5900i | 0.200007 | − | 0.659334i | ||||
\(310\) | 0.0502000 | + | 1.60294i | 0.00285117 | + | 0.0910411i | ||||
\(311\) | 8.60080 | − | 5.74687i | 0.487707 | − | 0.325875i | −0.287287 | − | 0.957845i | \(-0.592753\pi\) |
0.774993 | + | 0.631970i | \(0.217753\pi\) | |||||||
\(312\) | −0.326179 | − | 0.00138734i | −0.0184662 | − | 7.85428e-5i | ||||
\(313\) | 1.98649 | − | 2.97299i | 0.112283 | − | 0.168043i | −0.771072 | − | 0.636748i | \(-0.780279\pi\) |
0.883355 | + | 0.468705i | \(0.155279\pi\) | |||||||
\(314\) | 0.758098 | + | 3.27228i | 0.0427819 | + | 0.184665i | ||||
\(315\) | 0.0305938 | + | 0.0251077i | 0.00172376 | + | 0.00141466i | ||||
\(316\) | 1.95492 | + | 7.37948i | 0.109973 | + | 0.415128i | ||||
\(317\) | 2.83000 | − | 5.29456i | 0.158949 | − | 0.297372i | −0.789823 | − | 0.613335i | \(-0.789827\pi\) |
0.948772 | + | 0.315963i | \(0.102327\pi\) | |||||||
\(318\) | −7.86737 | + | 6.87979i | −0.441180 | + | 0.385800i | ||||
\(319\) | − | 26.0344i | − | 1.45765i | ||||||
\(320\) | 7.08719 | − | 3.71102i | 0.396186 | − | 0.207452i | ||||
\(321\) | − | 3.00927i | − | 0.167961i | ||||||
\(322\) | 6.73566 | + | 7.70255i | 0.375364 | + | 0.429246i | ||||
\(323\) | −4.79847 | + | 8.97731i | −0.266994 | + | 0.499511i | ||||
\(324\) | 9.13386 | − | 15.7172i | 0.507437 | − | 0.873179i | ||||
\(325\) | −0.0512124 | − | 0.0420289i | −0.00284075 | − | 0.00233134i | ||||
\(326\) | −28.0421 | + | 6.49660i | −1.55311 | + | 0.359813i | ||||
\(327\) | −5.28309 | + | 7.90671i | −0.292156 | + | 0.437242i | ||||
\(328\) | −1.37177 | + | 3.27230i | −0.0757431 | + | 0.180682i | ||||
\(329\) | −10.3850 | + | 6.93904i | −0.572544 | + | 0.382562i | ||||
\(330\) | −7.18403 | + | 0.224985i | −0.395468 | + | 0.0123850i | ||||
\(331\) | 4.89494 | − | 16.1364i | 0.269050 | − | 0.886939i | −0.713455 | − | 0.700702i | \(-0.752870\pi\) |
0.982505 | − | 0.186238i | \(-0.0596295\pi\) | |||||||
\(332\) | 15.6587 | + | 3.69794i | 0.859381 | + | 0.202951i | ||||
\(333\) | 0.107031 | + | 0.130417i | 0.00586525 | + | 0.00714683i | ||||
\(334\) | 15.9048 | − | 2.07097i | 0.870272 | − | 0.113318i | ||||
\(335\) | 0.958780 | + | 2.31470i | 0.0523837 | + | 0.126466i | ||||
\(336\) | −2.03142 | − | 8.94128i | −0.110823 | − | 0.487787i | ||||
\(337\) | −10.1367 | + | 24.4722i | −0.552182 | + | 1.33309i | 0.363654 | + | 0.931534i | \(0.381529\pi\) |
−0.915836 | + | 0.401552i | \(0.868471\pi\) | |||||||
\(338\) | −4.78189 | + | 17.7456i | −0.260100 | + | 0.965232i | ||||
\(339\) | 5.64100 | + | 0.555590i | 0.306377 | + | 0.0301755i | ||||
\(340\) | −4.36450 | + | 1.62857i | −0.236698 | + | 0.0883214i | ||||
\(341\) | −2.92003 | + | 1.56079i | −0.158128 | + | 0.0845213i | ||||
\(342\) | 0.169300 | − | 0.0764197i | 0.00915469 | − | 0.00413230i | ||||
\(343\) | 3.15121 | − | 15.8422i | 0.170149 | − | 0.855398i | ||||
\(344\) | 1.50414 | − | 0.449300i | 0.0810980 | − | 0.0242246i | ||||
\(345\) | −9.38017 | + | 1.86583i | −0.505011 | + | 0.100453i | ||||
\(346\) | −4.73396 | − | 0.788476i | −0.254499 | − | 0.0423887i | ||||
\(347\) | −23.9581 | + | 2.35966i | −1.28614 | + | 0.126673i | −0.717873 | − | 0.696174i | \(-0.754884\pi\) |
−0.568263 | + | 0.822847i | \(0.692384\pi\) | |||||||
\(348\) | −10.0617 | + | 29.3670i | −0.539365 | + | 1.57424i | ||||
\(349\) | −22.7538 | + | 6.90230i | −1.21798 | + | 0.369471i | −0.832907 | − | 0.553413i | \(-0.813325\pi\) |
−0.385077 | + | 0.922884i | \(0.625825\pi\) | |||||||
\(350\) | 0.826059 | − | 1.66911i | 0.0441547 | − | 0.0892178i | ||||
\(351\) | 0.242185 | + | 0.242185i | 0.0129269 | + | 0.0129269i | ||||
\(352\) | 13.3568 | + | 9.71537i | 0.711919 | + | 0.517831i | ||||
\(353\) | −4.00867 | + | 4.00867i | −0.213360 | + | 0.213360i | −0.805693 | − | 0.592333i | \(-0.798207\pi\) |
0.592333 | + | 0.805693i | \(0.298207\pi\) | |||||||
\(354\) | −0.294072 | − | 0.870362i | −0.0156298 | − | 0.0462592i | ||||
\(355\) | 2.62090 | + | 8.63996i | 0.139103 | + | 0.458561i | ||||
\(356\) | −15.3173 | + | 0.960337i | −0.811815 | + | 0.0508978i | ||||
\(357\) | 0.523337 | + | 5.31353i | 0.0276979 | + | 0.281222i | ||||
\(358\) | 12.3474 | + | 17.2824i | 0.652579 | + | 0.913405i | ||||
\(359\) | 6.27335 | + | 31.5382i | 0.331095 | + | 1.66452i | 0.684468 | + | 0.729042i | \(0.260034\pi\) |
−0.353374 | + | 0.935482i | \(0.614966\pi\) | |||||||
\(360\) | 0.0812399 | + | 0.0250217i | 0.00428172 | + | 0.00131876i | ||||
\(361\) | −0.0971572 | − | 0.0193258i | −0.00511354 | − | 0.00101715i | ||||
\(362\) | 12.2318 | − | 32.3598i | 0.642887 | − | 1.70079i | ||||
\(363\) | 2.03110 | + | 3.79992i | 0.106605 | + | 0.199444i | ||||
\(364\) | 0.174377 | + | 0.00620353i | 0.00913982 | + | 0.000325153i | ||||
\(365\) | −1.67176 | + | 16.9736i | −0.0875038 | + | 0.888441i | ||||
\(366\) | 23.4670 | − | 13.5044i | 1.22664 | − | 0.705885i | ||||
\(367\) | −10.9929 | − | 4.55340i | −0.573824 | − | 0.237686i | 0.0768502 | − | 0.997043i | \(-0.475514\pi\) |
−0.650674 | + | 0.759357i | \(0.725514\pi\) | |||||||
\(368\) | 19.6553 | + | 9.83187i | 1.02460 | + | 0.512522i | ||||
\(369\) | −0.0348323 | + | 0.0144280i | −0.00181329 | + | 0.000751091i | ||||
\(370\) | 4.84183 | − | 6.29151i | 0.251715 | − | 0.327080i | ||||
\(371\) | 4.32169 | − | 3.54672i | 0.224371 | − | 0.184137i | ||||
\(372\) | 3.89702 | − | 0.632055i | 0.202051 | − | 0.0327705i | ||||
\(373\) | 5.82450 | + | 1.76684i | 0.301581 | + | 0.0914836i | 0.437449 | − | 0.899243i | \(-0.355882\pi\) |
−0.135868 | + | 0.990727i | \(0.543382\pi\) | |||||||
\(374\) | −7.01021 | − | 6.58446i | −0.362489 | − | 0.340474i | ||||
\(375\) | 0.967084 | + | 1.44734i | 0.0499400 | + | 0.0747405i | ||||
\(376\) | −14.9987 | + | 22.2417i | −0.773497 | + | 1.14703i | ||||
\(377\) | −0.491183 | − | 0.328198i | −0.0252972 | − | 0.0169030i | ||||
\(378\) | −5.09578 | + | 8.16883i | −0.262099 | + | 0.420159i | ||||
\(379\) | 18.5044 | − | 22.5477i | 0.950509 | − | 1.15820i | −0.0367893 | − | 0.999323i | \(-0.511713\pi\) |
0.987299 | − | 0.158876i | \(-0.0507870\pi\) | |||||||
\(380\) | −5.30119 | − | 6.94936i | −0.271945 | − | 0.356495i | ||||
\(381\) | 18.4302 | + | 9.85113i | 0.944206 | + | 0.504688i | ||||
\(382\) | 1.87376 | − | 27.9802i | 0.0958699 | − | 1.43159i | ||||
\(383\) | 14.3609 | 0.733806 | 0.366903 | − | 0.930259i | \(-0.380418\pi\) | ||||
0.366903 | + | 0.930259i | \(0.380418\pi\) | |||||||
\(384\) | −11.3118 | − | 16.1211i | −0.577252 | − | 0.822677i | ||||
\(385\) | 3.84490 | 0.195954 | ||||||||
\(386\) | 0.107241 | − | 1.60139i | 0.00545841 | − | 0.0815084i | ||||
\(387\) | 0.0147108 | + | 0.00786311i | 0.000747794 | + | 0.000399704i | ||||
\(388\) | −15.5644 | + | 11.8730i | −0.790165 | + | 0.602763i | ||||
\(389\) | 11.6029 | − | 14.1381i | 0.588288 | − | 0.716831i | −0.390753 | − | 0.920496i | \(-0.627785\pi\) |
0.979041 | + | 0.203665i | \(0.0652852\pi\) | |||||||
\(390\) | −0.0863193 | + | 0.138375i | −0.00437095 | + | 0.00700688i | ||||
\(391\) | −10.6407 | − | 7.10986i | −0.538121 | − | 0.359561i | ||||
\(392\) | −2.84353 | − | 14.6201i | −0.143620 | − | 0.738427i | ||||
\(393\) | 1.55378 | + | 2.32539i | 0.0783776 | + | 0.117300i | ||||
\(394\) | −11.2063 | − | 10.5257i | −0.564566 | − | 0.530278i | ||||
\(395\) | 3.65266 | + | 1.10802i | 0.183785 | + | 0.0557506i | ||||
\(396\) | 0.0280969 | + | 0.173235i | 0.00141192 | + | 0.00870540i | ||||
\(397\) | 16.8935 | − | 13.8641i | 0.847860 | − | 0.695821i | −0.106554 | − | 0.994307i | \(-0.533982\pi\) |
0.954414 | + | 0.298486i | \(0.0964817\pi\) | |||||||
\(398\) | 15.9198 | − | 20.6863i | 0.797987 | − | 1.03691i | ||||
\(399\) | −9.25529 | + | 3.83367i | −0.463344 | + | 0.191923i | ||||
\(400\) | 0.284244 | − | 3.98989i | 0.0142122 | − | 0.199494i | ||||
\(401\) | 23.3852 | + | 9.68645i | 1.16780 | + | 0.483718i | 0.880465 | − | 0.474112i | \(-0.157231\pi\) |
0.287335 | + | 0.957830i | \(0.407231\pi\) | |||||||
\(402\) | 5.34570 | − | 3.07625i | 0.266620 | − | 0.153429i | ||||
\(403\) | −0.00736390 | + | 0.0747669i | −0.000366822 | + | 0.00372440i | ||||
\(404\) | 0.337703 | − | 9.49258i | 0.0168013 | − | 0.472274i | ||||
\(405\) | −4.28465 | − | 8.01601i | −0.212906 | − | 0.398319i | ||||
\(406\) | 5.87150 | − | 15.5334i | 0.291398 | − | 0.770908i | ||||
\(407\) | 16.0754 | + | 3.19759i | 0.796826 | + | 0.158499i | ||||
\(408\) | 5.36282 | + | 10.1366i | 0.265499 | + | 0.501837i | ||||
\(409\) | −0.623322 | − | 3.13365i | −0.0308213 | − | 0.154949i | 0.962310 | − | 0.271955i | \(-0.0876703\pi\) |
−0.993131 | + | 0.117006i | \(0.962670\pi\) | |||||||
\(410\) | 1.03133 | + | 1.44353i | 0.0509336 | + | 0.0712910i | ||||
\(411\) | −2.88235 | − | 29.2650i | −0.142176 | − | 1.44354i | ||||
\(412\) | 0.870753 | + | 13.8884i | 0.0428989 | + | 0.684234i | ||||
\(413\) | 0.142660 | + | 0.470286i | 0.00701982 | + | 0.0231412i | ||||
\(414\) | 0.0747501 | + | 0.221237i | 0.00367376 | + | 0.0108732i | ||||
\(415\) | 5.68846 | − | 5.68846i | 0.279236 | − | 0.279236i | ||||
\(416\) | 0.351676 | − | 0.129523i | 0.0172423 | − | 0.00635038i | ||||
\(417\) | 0.373131 | + | 0.373131i | 0.0182723 | + | 0.0182723i | ||||
\(418\) | 8.00413 | − | 16.1729i | 0.391495 | − | 0.791043i | ||||
\(419\) | −15.7635 | + | 4.78179i | −0.770095 | + | 0.233606i | −0.650796 | − | 0.759253i | \(-0.725565\pi\) |
−0.119299 | + | 0.992858i | \(0.538065\pi\) | |||||||
\(420\) | −4.33707 | − | 1.48597i | −0.211628 | − | 0.0725077i | ||||
\(421\) | −29.0812 | + | 2.86425i | −1.41733 | + | 0.139595i | −0.777481 | − | 0.628906i | \(-0.783503\pi\) |
−0.639849 | + | 0.768501i | \(0.721003\pi\) | |||||||
\(422\) | 27.2645 | + | 4.54111i | 1.32722 | + | 0.221058i | ||||
\(423\) | −0.279573 | + | 0.0556104i | −0.0135933 | + | 0.00270387i | ||||
\(424\) | 5.70551 | − | 10.5659i | 0.277084 | − | 0.513126i | ||||
\(425\) | −0.454408 | + | 2.28446i | −0.0220420 | + | 0.110813i | ||||
\(426\) | 20.2581 | − | 9.14423i | 0.981508 | − | 0.443040i | ||||
\(427\) | −12.7734 | + | 6.82752i | −0.618148 | + | 0.330407i | ||||
\(428\) | 1.20873 | + | 3.23936i | 0.0584263 | + | 0.156580i | ||||
\(429\) | −0.335088 | − | 0.0330033i | −0.0161782 | − | 0.00159341i | ||||
\(430\) | 0.204224 | − | 0.757874i | 0.00984855 | − | 0.0365479i | ||||
\(431\) | 0.786141 | − | 1.89791i | 0.0378671 | − | 0.0914193i | −0.903815 | − | 0.427924i | \(-0.859245\pi\) |
0.941682 | + | 0.336505i | \(0.109245\pi\) | |||||||
\(432\) | −3.48420 | + | 20.3836i | −0.167634 | + | 0.980705i | ||||
\(433\) | −11.8233 | − | 28.5439i | −0.568190 | − | 1.37173i | −0.903079 | − | 0.429474i | \(-0.858699\pi\) |
0.334889 | − | 0.942257i | \(-0.391301\pi\) | |||||||
\(434\) | −2.09423 | + | 0.272690i | −0.100526 | + | 0.0130896i | ||||
\(435\) | 9.84670 | + | 11.9982i | 0.472113 | + | 0.575272i | ||||
\(436\) | 2.51116 | − | 10.6333i | 0.120263 | − | 0.509244i | ||||
\(437\) | 6.97014 | − | 22.9775i | 0.333427 | − | 1.09916i | ||||
\(438\) | 41.9661 | − | 1.31427i | 2.00522 | − | 0.0627982i | ||||
\(439\) | 30.9263 | − | 20.6643i | 1.47603 | − | 0.986254i | 0.482119 | − | 0.876106i | \(-0.339867\pi\) |
0.993915 | − | 0.110149i | \(-0.0351327\pi\) | |||||||
\(440\) | 7.64296 | − | 3.12780i | 0.364364 | − | 0.149112i | ||||
\(441\) | 0.0879248 | − | 0.131589i | 0.00418689 | − | 0.00626613i | ||||
\(442\) | −0.212599 | + | 0.0492535i | −0.0101123 | + | 0.00234275i | ||||
\(443\) | −4.58871 | − | 3.76585i | −0.218016 | − | 0.178921i | 0.519046 | − | 0.854746i | \(-0.326287\pi\) |
−0.737062 | + | 0.675825i | \(0.763787\pi\) | |||||||
\(444\) | −16.8974 | − | 9.81968i | −0.801913 | − | 0.466021i | ||||
\(445\) | −3.61735 | + | 6.76758i | −0.171479 | + | 0.320814i | ||||
\(446\) | −11.3282 | − | 12.9544i | −0.536408 | − | 0.613408i | ||||
\(447\) | − | 21.0006i | − | 0.993294i | ||||||
\(448\) | 5.77820 | + | 8.80899i | 0.272994 | + | 0.416185i | ||||
\(449\) | − | 6.72934i | − | 0.317577i | −0.987313 | − | 0.158789i | \(-0.949241\pi\) | ||
0.987313 | − | 0.158789i | \(-0.0507589\pi\) | |||||||
\(450\) | 0.0319951 | − | 0.0279788i | 0.00150826 | − | 0.00131893i | ||||
\(451\) | −1.72659 | + | 3.23023i | −0.0813020 | + | 0.152105i | ||||
\(452\) | −6.29549 | + | 1.66775i | −0.296115 | + | 0.0784445i | ||||
\(453\) | 20.4315 | + | 16.7677i | 0.959956 | + | 0.787815i | ||||
\(454\) | −0.335451 | − | 1.44795i | −0.0157435 | − | 0.0679558i | ||||
\(455\) | 0.0484699 | − | 0.0725403i | 0.00227230 | − | 0.00340074i | ||||
\(456\) | −15.2792 | + | 15.1498i | −0.715514 | + | 0.709453i | ||||
\(457\) | −15.3002 | + | 10.2232i | −0.715712 | + | 0.478223i | −0.859338 | − | 0.511409i | \(-0.829124\pi\) |
0.143626 | + | 0.989632i | \(0.454124\pi\) | |||||||
\(458\) | −0.584479 | − | 18.6631i | −0.0273109 | − | 0.872068i | ||||
\(459\) | 3.49549 | − | 11.5231i | 0.163156 | − | 0.537852i | ||||
\(460\) | 9.34794 | − | 5.77623i | 0.435850 | − | 0.269318i | ||||
\(461\) | −3.38446 | − | 4.12398i | −0.157630 | − | 0.192073i | 0.688206 | − | 0.725515i | \(-0.258398\pi\) |
−0.845837 | + | 0.533442i | \(0.820898\pi\) | |||||||
\(462\) | −1.22214 | − | 9.38586i | −0.0568589 | − | 0.436670i | ||||
\(463\) | −10.3323 | − | 24.9444i | −0.480182 | − | 1.15926i | −0.959522 | − | 0.281633i | \(-0.909124\pi\) |
0.479340 | − | 0.877629i | \(-0.340876\pi\) | |||||||
\(464\) | −0.964814 | − | 35.6540i | −0.0447904 | − | 1.65520i | ||||
\(465\) | 0.755407 | − | 1.82371i | 0.0350312 | − | 0.0845727i | ||||
\(466\) | 30.9182 | + | 8.33151i | 1.43226 | + | 0.385950i | ||||
\(467\) | 26.6177 | + | 2.62161i | 1.23172 | + | 0.121314i | 0.692853 | − | 0.721079i | \(-0.256353\pi\) |
0.538865 | + | 0.842392i | \(0.318853\pi\) | |||||||
\(468\) | 0.00362257 | + | 0.00165376i | 0.000167453 | + | 7.64452e-5i | ||||
\(469\) | −2.90973 | + | 1.55528i | −0.134359 | + | 0.0718163i | ||||
\(470\) | 5.51838 | + | 12.2254i | 0.254544 | + | 0.563916i | ||||
\(471\) | 0.806582 | − | 4.05496i | 0.0371653 | − | 0.186843i | ||||
\(472\) | 0.666156 | + | 0.818791i | 0.0306623 | + | 0.0376879i | ||||
\(473\) | 1.58935 | − | 0.316141i | 0.0730782 | − | 0.0145362i | ||||
\(474\) | 1.54378 | − | 9.26878i | 0.0709083 | − | 0.425729i | ||||
\(475\) | −4.34920 | + | 0.428359i | −0.199555 | + | 0.0196545i | ||||
\(476\) | −2.69764 | − | 5.50960i | −0.123646 | − | 0.252532i | ||||
\(477\) | 0.122099 | − | 0.0370385i | 0.00559055 | − | 0.00169587i | ||||
\(478\) | −3.91335 | − | 1.93675i | −0.178992 | − | 0.0885850i | ||||
\(479\) | 17.4273 | + | 17.4273i | 0.796272 | + | 0.796272i | 0.982506 | − | 0.186233i | \(-0.0596280\pi\) |
−0.186233 | + | 0.982506i | \(0.559628\pi\) | |||||||
\(480\) | −9.83015 | + | 0.574350i | −0.448683 | + | 0.0262154i | ||||
\(481\) | 0.262979 | − | 0.262979i | 0.0119908 | − | 0.0119908i | ||||
\(482\) | 25.4688 | − | 8.60525i | 1.16007 | − | 0.391958i | ||||
\(483\) | −3.65599 | − | 12.0522i | −0.166353 | − | 0.548393i | ||||
\(484\) | −3.71271 | − | 3.27463i | −0.168760 | − | 0.148847i | ||||
\(485\) | 0.959393 | + | 9.74088i | 0.0435638 | + | 0.442311i | ||||
\(486\) | −0.359388 | + | 0.256764i | −0.0163022 | + | 0.0116470i | ||||
\(487\) | 4.71372 | + | 23.6974i | 0.213599 | + | 1.07383i | 0.927567 | + | 0.373656i | \(0.121896\pi\) |
−0.713968 | + | 0.700178i | \(0.753104\pi\) | |||||||
\(488\) | −19.8371 | + | 23.9630i | −0.897982 | + | 1.08475i | ||||
\(489\) | 34.7494 | + | 6.91209i | 1.57142 | + | 0.312575i | ||||
\(490\) | −6.96600 | − | 2.63310i | −0.314692 | − | 0.118951i | ||||
\(491\) | 5.05809 | + | 9.46301i | 0.228268 | + | 0.427060i | 0.969815 | − | 0.243841i | \(-0.0784075\pi\) |
−0.741547 | + | 0.670901i | \(0.765908\pi\) | |||||||
\(492\) | 3.19602 | − | 2.97643i | 0.144088 | − | 0.134188i | ||||
\(493\) | −2.03573 | + | 20.6691i | −0.0916846 | + | 0.930889i | ||||
\(494\) | −0.204227 | − | 0.354892i | −0.00918859 | − | 0.0159673i | ||||
\(495\) | 0.0810700 | + | 0.0335803i | 0.00364383 | + | 0.00150932i | ||||
\(496\) | −3.94112 | + | 2.24570i | −0.176961 | + | 0.100835i | ||||
\(497\) | −10.9846 | + | 4.54999i | −0.492728 | + | 0.204095i | ||||
\(498\) | −15.6944 | − | 12.0781i | −0.703281 | − | 0.541232i | ||||
\(499\) | −24.7558 | + | 20.3166i | −1.10822 | + | 0.909496i | −0.996446 | − | 0.0842374i | \(-0.973155\pi\) |
−0.111778 | + | 0.993733i | \(0.535655\pi\) | |||||||
\(500\) | −1.62238 | − | 1.16956i | −0.0725552 | − | 0.0523043i | ||||
\(501\) | −18.8918 | − | 5.73078i | −0.844025 | − | 0.256032i | ||||
\(502\) | −19.7188 | + | 20.9938i | −0.880093 | + | 0.937000i | ||||
\(503\) | −5.40690 | − | 8.09200i | −0.241082 | − | 0.360805i | 0.691122 | − | 0.722738i | \(-0.257117\pi\) |
−0.932204 | + | 0.361934i | \(0.882117\pi\) | |||||||
\(504\) | −0.0223056 | + | 0.109697i | −0.000993568 | + | 0.00488630i | ||||
\(505\) | −3.94889 | − | 2.63857i | −0.175723 | − | 0.117415i | ||||
\(506\) | 19.2484 | + | 12.0073i | 0.855696 | + | 0.533790i | ||||
\(507\) | 14.3509 | − | 17.4867i | 0.637348 | − | 0.776611i | ||||
\(508\) | −23.7963 | − | 3.20151i | −1.05579 | − | 0.142044i | ||||
\(509\) | −33.7093 | − | 18.0180i | −1.49414 | − | 0.798633i | −0.496546 | − | 0.868010i | \(-0.665399\pi\) |
−0.997590 | + | 0.0693777i | \(0.977899\pi\) | |||||||
\(510\) | 5.72109 | + | 0.383127i | 0.253334 | + | 0.0169651i | ||||
\(511\) | −22.4603 | −0.993584 | ||||||||
\(512\) | 18.6521 | + | 12.8102i | 0.824313 | + | 0.566134i | ||||
\(513\) | 22.5933 | 0.997519 | ||||||||
\(514\) | 32.3829 | + | 2.16860i | 1.42835 | + | 0.0956529i | ||||
\(515\) | 6.13627 | + | 3.27991i | 0.270397 | + | 0.144530i | ||||
\(516\) | −1.91498 | − | 0.257638i | −0.0843022 | − | 0.0113419i | ||||
\(517\) | −17.5677 | + | 21.4064i | −0.772628 | + | 0.941451i | ||||
\(518\) | 8.87018 | + | 5.53329i | 0.389733 | + | 0.243119i | ||||
\(519\) | 4.91160 | + | 3.28182i | 0.215595 | + | 0.144056i | ||||
\(520\) | 0.0373383 | − | 0.183627i | 0.00163739 | − | 0.00805258i | ||||
\(521\) | 9.75136 | + | 14.5939i | 0.427215 | + | 0.639372i | 0.981164 | − | 0.193179i | \(-0.0618797\pi\) |
−0.553949 | + | 0.832551i | \(0.686880\pi\) | |||||||
\(522\) | 0.259466 | − | 0.276243i | 0.0113565 | − | 0.0120908i | ||||
\(523\) | −32.0507 | − | 9.72248i | −1.40148 | − | 0.425134i | −0.503052 | − | 0.864256i | \(-0.667790\pi\) |
−0.898428 | + | 0.439122i | \(0.855290\pi\) | |||||||
\(524\) | −2.60662 | − | 1.87909i | −0.113871 | − | 0.0820883i | ||||
\(525\) | −1.77196 | + | 1.45421i | −0.0773347 | + | 0.0634670i | ||||
\(526\) | −14.6127 | − | 11.2457i | −0.637146 | − | 0.490336i | ||||
\(527\) | 2.44029 | − | 1.01080i | 0.106301 | − | 0.0440313i | ||||
\(528\) | −10.0647 | − | 17.6632i | −0.438011 | − | 0.768692i | ||||
\(529\) | 6.64011 | + | 2.75042i | 0.288701 | + | 0.119584i | ||||
\(530\) | −2.99462 | − | 5.20386i | −0.130078 | − | 0.226041i | ||||
\(531\) | −0.00109936 | + | 0.0111620i | −4.77081e−5 | + | 0.000484388i | ||||
\(532\) | 8.42310 | − | 7.84437i | 0.365188 | − | 0.340097i | ||||
\(533\) | 0.0391776 | + | 0.0732962i | 0.00169697 | + | 0.00317481i | ||||
\(534\) | 17.6703 | + | 6.67925i | 0.764669 | + | 0.289039i | ||||
\(535\) | 1.69555 | + | 0.337265i | 0.0733048 | + | 0.0145812i | ||||
\(536\) | −4.51881 | + | 5.45867i | −0.195183 | + | 0.235779i | ||||
\(537\) | −5.10037 | − | 25.6413i | −0.220097 | − | 1.10650i | ||||
\(538\) | 16.6946 | − | 11.9274i | 0.719756 | − | 0.514227i | ||||
\(539\) | −1.50699 | − | 15.3008i | −0.0649108 | − | 0.659050i | ||||
\(540\) | 7.75436 | + | 6.83939i | 0.333695 | + | 0.294320i | ||||
\(541\) | −5.51235 | − | 18.1718i | −0.236995 | − | 0.781266i | −0.992076 | − | 0.125636i | \(-0.959903\pi\) |
0.755082 | − | 0.655631i | \(-0.227597\pi\) | |||||||
\(542\) | −41.5063 | + | 14.0239i | −1.78285 | + | 0.602379i | ||||
\(543\) | −30.1093 | + | 30.1093i | −1.29211 | + | 1.29211i | ||||
\(544\) | −9.84445 | − | 8.75758i | −0.422077 | − | 0.375478i | ||||
\(545\) | −3.86286 | − | 3.86286i | −0.165467 | − | 0.165467i | ||||
\(546\) | −0.192486 | − | 0.0952633i | −0.00823765 | − | 0.00407689i | ||||
\(547\) | −25.8395 | + | 7.83833i | −1.10482 | + | 0.335143i | −0.789443 | − | 0.613824i | \(-0.789630\pi\) |
−0.315375 | + | 0.948967i | \(0.602130\pi\) | |||||||
\(548\) | 14.8576 | + | 30.3449i | 0.634687 | + | 1.29627i | ||||
\(549\) | −0.328958 | + | 0.0323995i | −0.0140396 | + | 0.00138278i | ||||
\(550\) | 0.678388 | − | 4.07300i | 0.0289265 | − | 0.173673i | ||||
\(551\) | −38.2197 | + | 7.60237i | −1.62821 | + | 0.323872i | ||||
\(552\) | −17.0718 | − | 20.9834i | −0.726625 | − | 0.893114i | ||||
\(553\) | −0.980626 | + | 4.92994i | −0.0417005 | + | 0.209642i | ||||
\(554\) | −2.79894 | − | 6.20076i | −0.118916 | − | 0.263445i | ||||
\(555\) | −8.61789 | + | 4.60636i | −0.365809 | + | 0.195529i | ||||
\(556\) | −0.551536 | − | 0.251785i | −0.0233903 | − | 0.0106781i | ||||
\(557\) | 40.4930 | + | 3.98821i | 1.71574 | + | 0.168986i | 0.907554 | − | 0.419936i | \(-0.137947\pi\) |
0.808190 | + | 0.588922i | \(0.200447\pi\) | |||||||
\(558\) | −0.0465386 | − | 0.0125407i | −0.00197014 | − | 0.000530891i | ||||
\(559\) | 0.0140713 | − | 0.0339710i | 0.000595151 | − | 0.00143682i | ||||
\(560\) | 5.26556 | − | 0.142489i | 0.222511 | − | 0.00602124i | ||||
\(561\) | 4.53019 | + | 10.9368i | 0.191265 | + | 0.461754i | ||||
\(562\) | 1.03704 | + | 7.96435i | 0.0437449 | + | 0.335956i | ||||
\(563\) | 16.8547 | + | 20.5375i | 0.710341 | + | 0.865553i | 0.995678 | − | 0.0928746i | \(-0.0296056\pi\) |
−0.285337 | + | 0.958427i | \(0.592106\pi\) | |||||||
\(564\) | 28.0896 | − | 17.3570i | 1.18279 | − | 0.730862i | ||||
\(565\) | −0.945260 | + | 3.11611i | −0.0397674 | + | 0.131096i | ||||
\(566\) | 0.294588 | + | 9.40652i | 0.0123824 | + | 0.395386i | ||||
\(567\) | 9.95219 | − | 6.64984i | 0.417953 | − | 0.279267i | ||||
\(568\) | −18.1341 | + | 17.9805i | −0.760890 | + | 0.754445i | ||||
\(569\) | −20.6209 | + | 30.8613i | −0.864472 | + | 1.29377i | 0.0901418 | + | 0.995929i | \(0.471268\pi\) |
−0.954614 | + | 0.297845i | \(0.903732\pi\) | |||||||
\(570\) | 2.42811 | + | 10.4808i | 0.101702 | + | 0.438991i | ||||
\(571\) | 20.2600 | + | 16.6270i | 0.847856 | + | 0.695818i | 0.954413 | − | 0.298489i | \(-0.0964826\pi\) |
−0.106557 | + | 0.994307i | \(0.533983\pi\) | |||||||
\(572\) | 0.373966 | − | 0.0990682i | 0.0156363 | − | 0.00414225i | ||||
\(573\) | −16.2712 | + | 30.4412i | −0.679738 | + | 1.27170i | ||||
\(574\) | −1.75867 | + | 1.53791i | −0.0734057 | + | 0.0641912i | ||||
\(575\) | − | 5.49429i | − | 0.229128i | ||||||
\(576\) | 0.0448985 | + | 0.236204i | 0.00187077 | + | 0.00984182i | ||||
\(577\) | 47.2813i | 1.96835i | 0.177211 | + | 0.984173i | \(0.443293\pi\) | ||||
−0.177211 | + | 0.984173i | \(0.556707\pi\) | |||||||
\(578\) | −10.7755 | − | 12.3223i | −0.448200 | − | 0.512539i | ||||
\(579\) | −0.931246 | + | 1.74224i | −0.0387013 | + | 0.0724050i | ||||
\(580\) | −15.4189 | − | 8.96052i | −0.640237 | − | 0.372065i | ||||
\(581\) | 8.18915 | + | 6.72066i | 0.339743 | + | 0.278820i | ||||
\(582\) | 23.4737 | − | 5.43823i | 0.973017 | − | 0.225422i | ||||
\(583\) | 6.88660 | − | 10.3065i | 0.285214 | − | 0.426852i | ||||
\(584\) | −44.6470 | + | 18.2713i | −1.84751 | + | 0.756072i | ||||
\(585\) | 0.00165554 | − | 0.00110620i | 6.84482e−5 | − | 4.57356e-5i | ||||
\(586\) | −17.5153 | + | 0.548533i | −0.723550 | + | 0.0226597i | ||||
\(587\) | 8.33792 | − | 27.4864i | 0.344143 | − | 1.13449i | −0.598623 | − | 0.801031i | \(-0.704285\pi\) |
0.942766 | − | 0.333456i | \(-0.108215\pi\) | |||||||
\(588\) | −4.21350 | + | 17.8418i | −0.173762 | + | 0.735783i | ||||
\(589\) | 3.14399 | + | 3.83096i | 0.129546 | + | 0.157852i | ||||
\(590\) | 0.523356 | − | 0.0681464i | 0.0215462 | − | 0.00280554i | ||||
\(591\) | 7.24182 | + | 17.4833i | 0.297889 | + | 0.719167i | ||||
\(592\) | 22.1336 | + | 3.78334i | 0.909686 | + | 0.155494i | ||||
\(593\) | 14.5568 | − | 35.1431i | 0.597774 | − | 1.44315i | −0.278070 | − | 0.960561i | \(-0.589695\pi\) |
0.875844 | − | 0.482594i | \(-0.160305\pi\) | |||||||
\(594\) | −5.55414 | + | 20.6114i | −0.227889 | + | 0.845697i | ||||
\(595\) | −3.05252 | − | 0.300647i | −0.125141 | − | 0.0123253i | ||||
\(596\) | 8.43532 | + | 22.6063i | 0.345524 | + | 0.925992i | ||||
\(597\) | −28.3354 | + | 15.1456i | −1.15969 | + | 0.619867i | ||||
\(598\) | 0.469189 | − | 0.211785i | 0.0191866 | − | 0.00866055i | ||||
\(599\) | 3.14702 | − | 15.8211i | 0.128584 | − | 0.646433i | −0.861705 | − | 0.507409i | \(-0.830603\pi\) |
0.990289 | − | 0.139024i | \(-0.0443966\pi\) | |||||||
\(600\) | −2.33935 | + | 4.33219i | −0.0955035 | + | 0.176861i | ||||
\(601\) | −22.5521 | + | 4.48588i | −0.919918 | + | 0.182983i | −0.632265 | − | 0.774752i | \(-0.717875\pi\) |
−0.287652 | + | 0.957735i | \(0.592875\pi\) | |||||||
\(602\) | 1.01958 | + | 0.169818i | 0.0415549 | + | 0.00692128i | ||||
\(603\) | −0.0749354 | + | 0.00738049i | −0.00305160 | + | 0.000300557i | ||||
\(604\) | −28.7288 | − | 9.84305i | −1.16896 | − | 0.400508i | ||||
\(605\) | −2.36867 | + | 0.718527i | −0.0963000 | + | 0.0292123i | ||||
\(606\) | −5.18587 | + | 10.4784i | −0.210661 | + | 0.425657i | ||||
\(607\) | −28.4702 | − | 28.4702i | −1.15557 | − | 1.15557i | −0.985418 | − | 0.170152i | \(-0.945574\pi\) |
−0.170152 | − | 0.985418i | \(-0.554426\pi\) | |||||||
\(608\) | 10.3623 | − | 22.4453i | 0.420245 | − | 0.910279i | ||||
\(609\) | −14.4531 | + | 14.4531i | −0.585669 | + | 0.585669i | ||||
\(610\) | 4.97885 | + | 14.7358i | 0.201588 | + | 0.596636i | ||||
\(611\) | 0.182402 | + | 0.601299i | 0.00737920 | + | 0.0243260i | ||||
\(612\) | −0.00876061 | − | 0.139731i | −0.000354127 | − | 0.00564829i | ||||
\(613\) | 0.792776 | + | 8.04919i | 0.0320199 | + | 0.325104i | 0.997829 | + | 0.0658511i | \(0.0209762\pi\) |
−0.965810 | + | 0.259253i | \(0.916524\pi\) | |||||||
\(614\) | 6.12497 | + | 8.57303i | 0.247184 | + | 0.345979i | ||||
\(615\) | −0.426013 | − | 2.14171i | −0.0171785 | − | 0.0863622i | ||||
\(616\) | 5.08560 | + | 9.61262i | 0.204905 | + | 0.387303i | ||||
\(617\) | 11.7335 | + | 2.33394i | 0.472373 | + | 0.0939609i | 0.425536 | − | 0.904942i | \(-0.360086\pi\) |
0.0468376 | + | 0.998903i | \(0.485086\pi\) | |||||||
\(618\) | 6.05618 | − | 16.0219i | 0.243615 | − | 0.644497i | ||||
\(619\) | 2.60775 | + | 4.87876i | 0.104814 | + | 0.196094i | 0.928861 | − | 0.370428i | \(-0.120789\pi\) |
−0.824047 | + | 0.566521i | \(0.808289\pi\) | |||||||
\(620\) | −0.0806347 | + | 2.26658i | −0.00323837 | + | 0.0910281i | ||||
\(621\) | −2.78412 | + | 28.2676i | −0.111723 | + | 1.13434i | ||||
\(622\) | 12.6792 | − | 7.29641i | 0.508391 | − | 0.292559i | ||||
\(623\) | −9.33604 | − | 3.86712i | −0.374041 | − | 0.154933i | ||||
\(624\) | −0.460124 | − | 0.0327798i | −0.0184197 | − | 0.00131224i | ||||
\(625\) | −0.923880 | + | 0.382683i | −0.0369552 | + | 0.0153073i | ||||
\(626\) | 3.08397 | − | 4.00733i | 0.123260 | − | 0.160165i | ||||
\(627\) | −17.1695 | + | 14.0906i | −0.685683 | + | 0.562726i | ||||
\(628\) | 0.760504 | + | 4.68899i | 0.0303474 | + | 0.187111i | ||||
\(629\) | −12.5124 | − | 3.79560i | −0.498903 | − | 0.151341i | ||||
\(630\) | 0.0407969 | + | 0.0383192i | 0.00162539 | + | 0.00152667i | ||||
\(631\) | −10.0081 | − | 14.9781i | −0.398415 | − | 0.596270i | 0.576974 | − | 0.816763i | \(-0.304233\pi\) |
−0.975389 | + | 0.220493i | \(0.929233\pi\) | |||||||
\(632\) | 2.06117 | + | 10.5976i | 0.0819889 | + | 0.421549i | ||||
\(633\) | −28.2876 | − | 18.9012i | −1.12433 | − | 0.751255i | ||||
\(634\) | 4.49359 | − | 7.20349i | 0.178463 | − | 0.286087i | ||||
\(635\) | −7.61610 | + | 9.28025i | −0.302236 | + | 0.368275i | ||||
\(636\) | −11.7514 | + | 8.96433i | −0.465973 | + | 0.355459i | ||||
\(637\) | −0.307672 | − | 0.164454i | −0.0121904 | − | 0.00651590i | ||||
\(638\) | 2.46011 | − | 36.7360i | 0.0973968 | − | 1.45439i | ||||
\(639\) | −0.271351 | −0.0107345 | ||||||||
\(640\) | 10.3511 | − | 4.56675i | 0.409162 | − | 0.180516i | ||||
\(641\) | 35.3665 | 1.39689 | 0.698446 | − | 0.715662i | \(-0.253875\pi\) | ||||
0.698446 | + | 0.715662i | \(0.253875\pi\) | |||||||
\(642\) | 0.284360 | − | 4.24624i | 0.0112228 | − | 0.167586i | ||||
\(643\) | −28.1735 | − | 15.0590i | −1.11105 | − | 0.593871i | −0.189407 | − | 0.981899i | \(-0.560656\pi\) |
−0.921648 | + | 0.388028i | \(0.873156\pi\) | |||||||
\(644\) | 8.77653 | + | 11.5052i | 0.345844 | + | 0.453368i | ||||
\(645\) | −0.612897 | + | 0.746817i | −0.0241328 | + | 0.0294059i | ||||
\(646\) | −7.61921 | + | 12.2140i | −0.299774 | + | 0.480555i | ||||
\(647\) | 16.0540 | + | 10.7269i | 0.631148 | + | 0.421719i | 0.829574 | − | 0.558396i | \(-0.188583\pi\) |
−0.198427 | + | 0.980116i | \(0.563583\pi\) | |||||||
\(648\) | 14.3736 | − | 21.3147i | 0.564647 | − | 0.837322i | ||||
\(649\) | 0.605359 | + | 0.905983i | 0.0237624 | + | 0.0355630i | ||||
\(650\) | −0.0682918 | − | 0.0641443i | −0.00267863 | − | 0.00251595i | ||||
\(651\) | 2.48754 | + | 0.754587i | 0.0974944 | + | 0.0295746i | ||||
\(652\) | −40.1828 | + | 6.51722i | −1.57368 | + | 0.255234i | ||||
\(653\) | 22.6290 | − | 18.5711i | 0.885541 | − | 0.726745i | −0.0772444 | − | 0.997012i | \(-0.524612\pi\) |
0.962785 | + | 0.270268i | \(0.0871122\pi\) | |||||||
\(654\) | −8.20186 | + | 10.6576i | −0.320718 | + | 0.416744i | ||||
\(655\) | −1.48436 | + | 0.614842i | −0.0579988 | + | 0.0240239i | ||||
\(656\) | −2.24485 | + | 4.48776i | −0.0876466 | + | 0.175218i | ||||
\(657\) | −0.473577 | − | 0.196162i | −0.0184760 | − | 0.00765301i | ||||
\(658\) | −15.3095 | + | 8.81002i | −0.596826 | + | 0.343450i | ||||
\(659\) | 0.781694 | − | 7.93667i | 0.0304505 | − | 0.309169i | −0.967880 | − | 0.251412i | \(-0.919105\pi\) |
0.998331 | − | 0.0577570i | \(-0.0183949\pi\) | |||||||
\(660\) | −10.1583 | − | 0.361386i | −0.395412 | − | 0.0140669i | ||||
\(661\) | 5.98139 | + | 11.1904i | 0.232649 | + | 0.435256i | 0.970973 | − | 0.239191i | \(-0.0768821\pi\) |
−0.738323 | + | 0.674447i | \(0.764382\pi\) | |||||||
\(662\) | 8.43183 | − | 22.3068i | 0.327712 | − | 0.866980i | ||||
\(663\) | 0.263450 | + | 0.0524036i | 0.0102316 | + | 0.00203519i | ||||
\(664\) | 21.7458 | + | 6.69764i | 0.843900 | + | 0.259919i | ||||
\(665\) | −1.12276 | − | 5.64448i | −0.0435386 | − | 0.218883i | ||||
\(666\) | 0.138702 | + | 0.194140i | 0.00537461 | + | 0.00752276i | ||||
\(667\) | −4.80198 | − | 48.7554i | −0.185934 | − | 1.88781i | ||||
\(668\) | 22.6382 | − | 1.41933i | 0.875899 | − | 0.0549156i | ||||
\(669\) | 6.14875 | + | 20.2697i | 0.237724 | + | 0.783672i | ||||
\(670\) | 1.13416 | + | 3.35676i | 0.0438165 | + | 0.129683i | ||||
\(671\) | −22.7069 | + | 22.7069i | −0.876592 | + | 0.876592i | ||||
\(672\) | −2.02154 | − | 12.8086i | −0.0779826 | − | 0.494102i | ||||
\(673\) | −0.369088 | − | 0.369088i | −0.0142273 | − | 0.0142273i | 0.699957 | − | 0.714185i | \(-0.253202\pi\) |
−0.714185 | + | 0.699957i | \(0.753202\pi\) | |||||||
\(674\) | −16.6159 | + | 33.5737i | −0.640022 | + | 1.29321i | ||||
\(675\) | 4.94719 | − | 1.50071i | 0.190417 | − | 0.0577625i | ||||
\(676\) | −8.42436 | + | 24.5881i | −0.324014 | + | 0.945695i | ||||
\(677\) | 3.70582 | − | 0.364991i | 0.142426 | − | 0.0140278i | −0.0265528 | − | 0.999647i | \(-0.508453\pi\) |
0.168979 | + | 0.985620i | \(0.445953\pi\) | |||||||
\(678\) | 7.90725 | + | 1.31701i | 0.303676 | + | 0.0505795i | ||||
\(679\) | −12.6419 | + | 2.51463i | −0.485151 | + | 0.0965026i | ||||
\(680\) | −6.31243 | + | 1.88557i | −0.242071 | + | 0.0723084i | ||||
\(681\) | −0.356905 | + | 1.79428i | −0.0136766 | + | 0.0687571i | ||||
\(682\) | −4.26780 | + | 1.92643i | −0.163422 | + | 0.0737667i | ||||
\(683\) | −23.0233 | + | 12.3062i | −0.880964 | + | 0.470885i | −0.848871 | − | 0.528600i | \(-0.822717\pi\) |
−0.0320926 | + | 0.999485i | \(0.510217\pi\) | |||||||
\(684\) | 0.246113 | − | 0.0918343i | 0.00941035 | − | 0.00351137i | ||||
\(685\) | 16.8122 | + | 1.65585i | 0.642360 | + | 0.0632669i | ||||
\(686\) | 5.94352 | − | 22.0564i | 0.226925 | − | 0.842117i | ||||
\(687\) | −8.79520 | + | 21.2335i | −0.335558 | + | 0.810109i | ||||
\(688\) | 2.16488 | − | 0.491853i | 0.0825354 | − | 0.0187517i | ||||
\(689\) | −0.107635 | − | 0.259854i | −0.00410057 | − | 0.00989965i | ||||
\(690\) | −13.4122 | + | 1.74641i | −0.510595 | + | 0.0664848i | ||||
\(691\) | 17.2972 | + | 21.0767i | 0.658016 | + | 0.801795i | 0.989937 | − | 0.141512i | \(-0.0451965\pi\) |
−0.331920 | + | 0.943307i | \(0.607696\pi\) | |||||||
\(692\) | −6.60536 | − | 1.55991i | −0.251098 | − | 0.0592991i | ||||
\(693\) | −0.0335438 | + | 0.110579i | −0.00127422 | + | 0.00420056i | ||||
\(694\) | −34.0291 | + | 1.06570i | −1.29173 | + | 0.0404535i | ||||
\(695\) | −0.252056 | + | 0.168418i | −0.00956103 | + | 0.00638848i | ||||
\(696\) | −16.9727 | + | 40.4877i | −0.643347 | + | 1.53468i | ||||
\(697\) | 1.62335 | − | 2.42951i | 0.0614887 | − | 0.0920243i | ||||
\(698\) | −32.7591 | + | 7.58939i | −1.23995 | + | 0.287263i | ||||
\(699\) | −30.4671 | − | 25.0037i | −1.15237 | − | 0.945728i | ||||
\(700\) | 1.32333 | − | 2.27715i | 0.0500173 | − | 0.0860681i | ||||
\(701\) | −13.4731 | + | 25.2064i | −0.508872 | + | 0.952033i | 0.487988 | + | 0.872850i | \(0.337731\pi\) |
−0.996860 | + | 0.0791826i | \(0.974769\pi\) | |||||||
\(702\) | 0.318851 | + | 0.364622i | 0.0120343 | + | 0.0137618i | ||||
\(703\) | − | 24.5331i | − | 0.925283i | ||||||
\(704\) | 17.9291 | + | 14.9710i | 0.675727 | + | 0.564243i | ||||
\(705\) | − | 16.5098i | − | 0.621795i | ||||||
\(706\) | −6.03525 | + | 5.27765i | −0.227140 | + | 0.198627i | ||||
\(707\) | 2.94822 | − | 5.51572i | 0.110879 | − | 0.207440i | ||||
\(708\) | −0.332707 | − | 1.25591i | −0.0125039 | − | 0.0472002i | ||||
\(709\) | −11.3981 | − | 9.35421i | −0.428066 | − | 0.351305i | 0.395558 | − | 0.918441i | \(-0.370551\pi\) |
−0.823624 | + | 0.567136i | \(0.808051\pi\) | |||||||
\(710\) | 2.88180 | + | 12.4391i | 0.108152 | + | 0.466831i | ||||
\(711\) | −0.0637334 | + | 0.0953838i | −0.00239019 | + | 0.00357717i | ||||
\(712\) | −21.7043 | − | 0.0923151i | −0.813401 | − | 0.00345965i | ||||
\(713\) | −5.18053 | + | 3.46152i | −0.194012 | + | 0.129635i | ||||
\(714\) | 0.236356 | + | 7.54712i | 0.00884541 | + | 0.282444i | ||||
\(715\) | 0.0561506 | − | 0.185104i | 0.00209991 | − | 0.00692249i | ||||
\(716\) | 15.7897 | + | 25.5532i | 0.590088 | + | 0.954967i | ||||
\(717\) | 3.40950 | + | 4.15449i | 0.127330 | + | 0.155152i | ||||
\(718\) | 5.87183 | + | 45.0949i | 0.219135 | + | 1.68293i | ||||
\(719\) | 14.9166 | + | 36.0118i | 0.556294 | + | 1.34301i | 0.912680 | + | 0.408675i | \(0.134009\pi\) |
−0.356386 | + | 0.934339i | \(0.615991\pi\) | |||||||
\(720\) | 0.112269 | + | 0.0429836i | 0.00418403 | + | 0.00160191i | ||||
\(721\) | −3.50637 | + | 8.46514i | −0.130584 | + | 0.315258i | ||||
\(722\) | −0.135268 | − | 0.0364505i | −0.00503414 | − | 0.00135655i | ||||
\(723\) | −32.9303 | − | 3.24336i | −1.22469 | − | 0.120622i | ||||
\(724\) | 20.3175 | − | 44.5055i | 0.755093 | − | 1.65403i | ||||
\(725\) | −7.86388 | + | 4.20333i | −0.292057 | + | 0.156108i | ||||
\(726\) | 2.50692 | + | 5.55381i | 0.0930404 | + | 0.206121i | ||||
\(727\) | −4.62163 | + | 23.2345i | −0.171407 | + | 0.861720i | 0.795375 | + | 0.606117i | \(0.207274\pi\) |
−0.966782 | + | 0.255602i | \(0.917726\pi\) | |||||||
\(728\) | 0.245469 | + | 0.0252312i | 0.00909767 | + | 0.000935129i | ||||
\(729\) | −26.2106 | + | 5.21362i | −0.970764 | + | 0.193097i | ||||
\(730\) | −3.96286 | + | 23.7927i | −0.146672 | + | 0.880609i | ||||
\(731\) | −1.28652 | + | 0.126712i | −0.0475838 | + | 0.00468660i | ||||
\(732\) | 34.3893 | − | 16.8379i | 1.27107 | − | 0.622346i | ||||
\(733\) | 8.22598 | − | 2.49532i | 0.303833 | − | 0.0921669i | −0.134687 | − | 0.990888i | \(-0.543003\pi\) |
0.438520 | + | 0.898721i | \(0.355503\pi\) | |||||||
\(734\) | −15.0813 | − | 7.46386i | −0.556660 | − | 0.275496i | ||||
\(735\) | 6.48154 | + | 6.48154i | 0.239075 | + | 0.239075i | ||||
\(736\) | 26.8056 | + | 15.7306i | 0.988066 | + | 0.579838i | ||||
\(737\) | −5.17255 | + | 5.17255i | −0.190533 | + | 0.190533i | ||||
\(738\) | −0.0505135 | + | 0.0170672i | −0.00185943 | + | 0.000628252i | ||||
\(739\) | 4.85677 | + | 16.0106i | 0.178659 | + | 0.588960i | 0.999833 | + | 0.0182819i | \(0.00581963\pi\) |
−0.821174 | + | 0.570678i | \(0.806680\pi\) | |||||||
\(740\) | 7.42659 | − | 8.42012i | 0.273007 | − | 0.309530i | ||||
\(741\) | 0.0493995 | + | 0.501562i | 0.00181474 | + | 0.0184253i | ||||
\(742\) | 6.43328 | − | 4.59624i | 0.236173 | − | 0.168733i | ||||
\(743\) | −6.66366 | − | 33.5005i | −0.244466 | − | 1.22901i | −0.886642 | − | 0.462457i | \(-0.846968\pi\) |
0.642176 | − | 0.766557i | \(-0.278032\pi\) | |||||||
\(744\) | 5.55863 | − | 0.523616i | 0.203789 | − | 0.0191967i | ||||
\(745\) | 11.8326 | + | 2.35365i | 0.433513 | + | 0.0862311i | ||||
\(746\) | 8.05172 | + | 3.04349i | 0.294794 | + | 0.111430i | ||||
\(747\) | 0.113973 | + | 0.213228i | 0.00417004 | + | 0.00780159i | ||||
\(748\) | −9.26958 | − | 9.95344i | −0.338929 | − | 0.363934i | ||||
\(749\) | −0.223142 | + | 2.26560i | −0.00815343 | + | 0.0827832i | ||||
\(750\) | 1.22784 | + | 2.13366i | 0.0448344 | + | 0.0779103i | ||||
\(751\) | 29.6409 | + | 12.2777i | 1.08161 | + | 0.448019i | 0.851075 | − | 0.525044i | \(-0.175951\pi\) |
0.230539 | + | 0.973063i | \(0.425951\pi\) | |||||||
\(752\) | −23.2656 | + | 29.9669i | −0.848410 | + | 1.09278i | ||||
\(753\) | 32.7531 | − | 13.5668i | 1.19359 | − | 0.494401i | ||||
\(754\) | −0.662072 | − | 0.509518i | −0.0241112 | − | 0.0185556i | ||||
\(755\) | −11.7375 | + | 9.63271i | −0.427171 | + | 0.350570i | ||||
\(756\) | −7.96233 | + | 11.0451i | −0.289587 | + | 0.401708i | ||||
\(757\) | −23.7709 | − | 7.21082i | −0.863967 | − | 0.262082i | −0.172959 | − | 0.984929i | \(-0.555333\pi\) |
−0.691008 | + | 0.722847i | \(0.742833\pi\) | |||||||
\(758\) | 28.2414 | − | 30.0675i | 1.02577 | − | 1.09210i | ||||
\(759\) | −15.5137 | − | 23.2179i | −0.563113 | − | 0.842758i | ||||
\(760\) | −6.82359 | − | 10.3068i | −0.247517 | − | 0.373869i | ||||
\(761\) | 5.23034 | + | 3.49480i | 0.189600 | + | 0.126687i | 0.646747 | − | 0.762704i | \(-0.276129\pi\) |
−0.457147 | + | 0.889391i | \(0.651129\pi\) | |||||||
\(762\) | 25.0751 | + | 15.6420i | 0.908373 | + | 0.566650i | ||||
\(763\) | 4.56380 | − | 5.56100i | 0.165221 | − | 0.201322i | ||||
\(764\) | 5.28795 | − | 39.3044i | 0.191311 | − | 1.42199i | ||||
\(765\) | −0.0617368 | − | 0.0329990i | −0.00223210 | − | 0.00119308i | ||||
\(766\) | 20.2639 | + | 1.35702i | 0.732166 | + | 0.0490313i | ||||
\(767\) | 0.0247242 | 0.000892740 | ||||||||
\(768\) | −14.4382 | − | 23.8167i | −0.520993 | − | 0.859410i | ||||
\(769\) | −5.93499 | −0.214021 | −0.107011 | − | 0.994258i | \(-0.534128\pi\) | ||||
−0.107011 | + | 0.994258i | \(0.534128\pi\) | |||||||
\(770\) | 5.42535 | + | 0.363322i | 0.195516 | + | 0.0130932i | ||||
\(771\) | −35.2312 | − | 18.8315i | −1.26882 | − | 0.678199i | ||||
\(772\) | 0.302645 | − | 2.24951i | 0.0108924 | − | 0.0809615i | ||||
\(773\) | −9.79401 | + | 11.9340i | −0.352266 | + | 0.429237i | −0.918753 | − | 0.394834i | \(-0.870802\pi\) |
0.566487 | + | 0.824071i | \(0.308302\pi\) | |||||||
\(774\) | 0.0200148 | + | 0.0124854i | 0.000719416 | + | 0.000448777i | ||||
\(775\) | 0.942893 | + | 0.630021i | 0.0338697 | + | 0.0226310i | ||||
\(776\) | −23.0842 | + | 15.2827i | −0.828674 | + | 0.548618i | ||||
\(777\) | −7.14914 | − | 10.6994i | −0.256474 | − | 0.383841i | ||||
\(778\) | 17.7082 | − | 18.8532i | 0.634870 | − | 0.675921i | ||||
\(779\) | 5.24630 | + | 1.59145i | 0.187968 | + | 0.0570195i | ||||
\(780\) | −0.134877 | + | 0.187098i | −0.00482936 | + | 0.00669917i | ||||
\(781\) | −20.3776 | + | 16.7235i | −0.729168 | + | 0.598412i | ||||
\(782\) | −14.3427 | − | 11.0379i | −0.512893 | − | 0.394713i | ||||
\(783\) | 42.5889 | − | 17.6409i | 1.52200 | − | 0.630434i | ||||
\(784\) | −2.63085 | − | 20.8984i | −0.0939589 | − | 0.746373i | ||||
\(785\) | 2.19434 | + | 0.908923i | 0.0783192 | + | 0.0324409i | ||||
\(786\) | 1.97272 | + | 3.42807i | 0.0703647 | + | 0.122275i | ||||
\(787\) | 4.96298 | − | 50.3900i | 0.176911 | − | 1.79621i | −0.340263 | − | 0.940330i | \(-0.610516\pi\) |
0.517175 | − | 0.855880i | \(-0.326984\pi\) | |||||||
\(788\) | −14.8181 | − | 15.9113i | −0.527872 | − | 0.566816i | ||||
\(789\) | 10.6988 | + | 20.0160i | 0.380887 | + | 0.712590i | ||||
\(790\) | 5.04939 | + | 1.90863i | 0.179649 | + | 0.0679062i | ||||
\(791\) | −4.20576 | − | 0.836579i | −0.149540 | − | 0.0297453i | ||||
\(792\) | 0.0232764 | + | 0.247099i | 0.000827091 | + | 0.00878029i | ||||
\(793\) | 0.142154 | + | 0.714654i | 0.00504802 | + | 0.0253781i | ||||
\(794\) | 25.1477 | − | 17.9667i | 0.892458 | − | 0.637614i | ||||
\(795\) | 0.724356 | + | 7.35451i | 0.0256903 | + | 0.260838i | ||||
\(796\) | 24.4184 | − | 27.6851i | 0.865488 | − | 0.981273i | ||||
\(797\) | −8.95516 | − | 29.5212i | −0.317208 | − | 1.04569i | −0.960081 | − | 0.279722i | \(-0.909758\pi\) |
0.642873 | − | 0.765973i | \(-0.277742\pi\) | |||||||
\(798\) | −13.4220 | + | 4.53493i | −0.475133 | + | 0.160535i | ||||
\(799\) | 15.6211 | − | 15.6211i | 0.552635 | − | 0.552635i | ||||
\(800\) | 0.778106 | − | 5.60308i | 0.0275102 | − | 0.198099i | ||||
\(801\) | −0.163077 | − | 0.163077i | −0.00576204 | − | 0.00576204i | ||||
\(802\) | 32.0824 | + | 15.8779i | 1.13287 | + | 0.560667i | ||||
\(803\) | −47.6537 | + | 14.4556i | −1.68166 | + | 0.510127i | ||||
\(804\) | 7.83376 | − | 3.83561i | 0.276275 | − | 0.135271i | ||||
\(805\) | 7.20044 | − | 0.709181i | 0.253782 | − | 0.0249954i | ||||
\(806\) | −0.0174559 | + | 0.104804i | −0.000614858 | + | 0.00369157i | ||||
\(807\) | −24.7692 | + | 4.92689i | −0.871915 | + | 0.173435i | ||||
\(808\) | 1.37351 | − | 13.3626i | 0.0483201 | − | 0.470096i | ||||
\(809\) | −2.92068 | + | 14.6832i | −0.102686 | + | 0.516235i | 0.894868 | + | 0.446331i | \(0.147270\pi\) |
−0.997554 | + | 0.0699047i | \(0.977730\pi\) | |||||||
\(810\) | −5.28839 | − | 11.7159i | −0.185815 | − | 0.411655i | ||||
\(811\) | −23.2546 | + | 12.4299i | −0.816581 | + | 0.436472i | −0.826128 | − | 0.563483i | \(-0.809461\pi\) |
0.00954670 | + | 0.999954i | \(0.496961\pi\) | |||||||
\(812\) | 9.75282 | − | 21.3636i | 0.342257 | − | 0.749715i | ||||
\(813\) | 53.6663 | + | 5.28567i | 1.88216 | + | 0.185377i | ||||
\(814\) | 22.3810 | + | 6.03100i | 0.784455 | + | 0.211387i | ||||
\(815\) | −7.78911 | + | 18.8046i | −0.272841 | + | 0.658696i | ||||
\(816\) | 6.60938 | + | 14.8101i | 0.231374 | + | 0.518456i | ||||
\(817\) | −0.928217 | − | 2.24091i | −0.0324742 | − | 0.0783996i | ||||
\(818\) | −0.583427 | − | 4.48065i | −0.0203991 | − | 0.156662i | ||||
\(819\) | 0.00166340 | + | 0.00202685i | 5.81238e−5 | + | 7.08240e-5i | ||||
\(820\) | 1.31885 | + | 2.13436i | 0.0460562 | + | 0.0745349i | ||||
\(821\) | 8.13415 | − | 26.8147i | 0.283884 | − | 0.935840i | −0.692795 | − | 0.721135i | \(-0.743621\pi\) |
0.976679 | − | 0.214705i | \(-0.0688791\pi\) | |||||||
\(822\) | −1.30177 | − | 41.5669i | −0.0454043 | − | 1.44981i | ||||
\(823\) | 13.9155 | − | 9.29802i | 0.485063 | − | 0.324109i | −0.288879 | − | 0.957366i | \(-0.593282\pi\) |
0.773942 | + | 0.633257i | \(0.218282\pi\) | |||||||
\(824\) | −0.0837035 | + | 19.6796i | −0.00291595 | + | 0.685571i | ||||
\(825\) | −2.82361 | + | 4.22583i | −0.0983055 | + | 0.147125i | ||||
\(826\) | 0.156861 | + | 0.677078i | 0.00545788 | + | 0.0235586i | ||||
\(827\) | −6.60612 | − | 5.42150i | −0.229717 | − | 0.188524i | 0.512493 | − | 0.858692i | \(-0.328722\pi\) |
−0.742210 | + | 0.670168i | \(0.766222\pi\) | |||||||
\(828\) | 0.0845706 | + | 0.319240i | 0.00293903 | + | 0.0110944i | ||||
\(829\) | 16.2859 | − | 30.4688i | 0.565632 | − | 1.05822i | −0.422751 | − | 0.906246i | \(-0.638936\pi\) |
0.988384 | − | 0.151978i | \(-0.0485643\pi\) | |||||||
\(830\) | 8.56425 | − | 7.48919i | 0.297269 | − | 0.259954i | ||||
\(831\) | 8.37382i | 0.290484i | ||||||||
\(832\) | 0.508473 | − | 0.149532i | 0.0176281 | − | 0.00518410i | ||||
\(833\) | 12.2653i | 0.424968i | ||||||||
\(834\) | 0.491248 | + | 0.561766i | 0.0170105 | + | 0.0194524i | ||||
\(835\) | 5.34627 | − | 10.0022i | 0.185015 | − | 0.346139i | ||||
\(836\) | 12.8225 | − | 22.0645i | 0.443476 | − | 0.763117i | ||||
\(837\) | −4.53185 | − | 3.71919i | −0.156644 | − | 0.128554i | ||||
\(838\) | −22.6949 | + | 5.25780i | −0.783983 | + | 0.181628i | ||||
\(839\) | −8.80289 | + | 13.1745i | −0.303909 | + | 0.454833i | −0.951719 | − | 0.306969i | \(-0.900685\pi\) |
0.647810 | + | 0.761802i | \(0.275685\pi\) | |||||||
\(840\) | −5.97943 | − | 2.50661i | −0.206310 | − | 0.0864862i | ||||
\(841\) | −41.9964 | + | 28.0611i | −1.44815 | + | 0.967624i | ||||
\(842\) | −41.3057 | + | 1.29359i | −1.42349 | + | 0.0445800i | ||||
\(843\) | 2.86969 | − | 9.46011i | 0.0988374 | − | 0.325823i | ||||
\(844\) | 38.0426 | + | 8.98410i | 1.30948 | + | 0.309245i | ||||
\(845\) | 8.24433 | + | 10.0457i | 0.283614 | + | 0.345584i | ||||
\(846\) | −0.399747 | + | 0.0520512i | −0.0137436 | + | 0.00178956i | ||||
\(847\) | −1.24739 | − | 3.01147i | −0.0428608 | − | 0.103475i | ||||
\(848\) | 9.04920 | − | 14.3699i | 0.310751 | − | 0.493466i | ||||
\(849\) | 4.43294 | − | 10.7021i | 0.152138 | − | 0.367294i | ||||
\(850\) | −0.857064 | + | 3.18056i | −0.0293970 | + | 0.109092i | ||||
\(851\) | 30.6946 | + | 3.02315i | 1.05220 | + | 0.103632i | ||||
\(852\) | 29.4493 | − | 10.9887i | 1.00892 | − | 0.376467i | ||||
\(853\) | 10.9664 | − | 5.86165i | 0.375481 | − | 0.200699i | −0.272851 | − | 0.962056i | \(-0.587967\pi\) |
0.648333 | + | 0.761357i | \(0.275467\pi\) | |||||||
\(854\) | −18.6691 | + | 8.42698i | −0.638843 | + | 0.288365i | ||||
\(855\) | 0.0256239 | − | 0.128820i | 0.000876320 | − | 0.00440556i | ||||
\(856\) | 1.39949 | + | 4.68513i | 0.0478334 | + | 0.160134i | ||||
\(857\) | 54.3662 | − | 10.8141i | 1.85711 | − | 0.369403i | 0.865743 | − | 0.500489i | \(-0.166846\pi\) |
0.991371 | + | 0.131086i | \(0.0418464\pi\) | |||||||
\(858\) | −0.469709 | − | 0.0782334i | −0.0160356 | − | 0.00267085i | ||||
\(859\) | 46.9775 | − | 4.62688i | 1.60285 | − | 0.157867i | 0.743315 | − | 0.668942i | \(-0.233252\pi\) |
0.859536 | + | 0.511075i | \(0.170752\pi\) | |||||||
\(860\) | 0.359786 | − | 1.05010i | 0.0122686 | − | 0.0358082i | ||||
\(861\) | 2.75179 | − | 0.834748i | 0.0937809 | − | 0.0284481i | ||||
\(862\) | 1.28863 | − | 2.60377i | 0.0438909 | − | 0.0886848i | ||||
\(863\) | −11.5186 | − | 11.5186i | −0.392099 | − | 0.392099i | 0.483336 | − | 0.875435i | \(-0.339425\pi\) |
−0.875435 | + | 0.483336i | \(0.839425\pi\) | |||||||
\(864\) | −6.84253 | + | 28.4331i | −0.232788 | + | 0.967312i | ||||
\(865\) | −2.39959 | + | 2.39959i | −0.0815884 | + | 0.0815884i | ||||
\(866\) | −13.9860 | − | 41.3942i | −0.475264 | − | 1.40663i | ||||
\(867\) | 5.84871 | + | 19.2806i | 0.198633 | + | 0.654804i | ||||
\(868\) | −2.98084 | + | 0.186887i | −0.101176 | + | 0.00634337i | ||||
\(869\) | 1.09236 | + | 11.0909i | 0.0370559 | + | 0.376235i | ||||
\(870\) | 12.7605 | + | 17.8606i | 0.432620 | + | 0.605532i | ||||
\(871\) | 0.0323820 | + | 0.162796i | 0.00109722 | + | 0.00551612i | ||||
\(872\) | 4.54817 | − | 14.7669i | 0.154020 | − | 0.500070i | ||||
\(873\) | −0.288518 | − | 0.0573897i | −0.00976485 | − | 0.00194235i | ||||
\(874\) | 12.0065 | − | 31.7638i | 0.406125 | − | 1.07443i | ||||
\(875\) | −0.620769 | − | 1.16138i | −0.0209858 | − | 0.0392617i | ||||
\(876\) | 59.3406 | + | 2.11107i | 2.00493 | + | 0.0713264i | ||||
\(877\) | 1.33772 | − | 13.5821i | 0.0451717 | − | 0.458636i | −0.945818 | − | 0.324697i | \(-0.894738\pi\) |
0.990990 | − | 0.133938i | \(-0.0427624\pi\) | |||||||
\(878\) | 45.5914 | − | 26.2361i | 1.53863 | − | 0.885425i | ||||
\(879\) | 19.9276 | + | 8.25430i | 0.672143 | + | 0.278411i | ||||
\(880\) | 11.0802 | − | 3.69127i | 0.373513 | − | 0.124433i | ||||
\(881\) | 6.28138 | − | 2.60183i | 0.211625 | − | 0.0876579i | −0.274353 | − | 0.961629i | \(-0.588464\pi\) |
0.485978 | + | 0.873971i | \(0.338464\pi\) | |||||||
\(882\) | 0.136501 | − | 0.177370i | 0.00459623 | − | 0.00597237i | ||||
\(883\) | −33.9125 | + | 27.8313i | −1.14125 | + | 0.936597i | −0.998585 | − | 0.0531749i | \(-0.983066\pi\) |
−0.142661 | + | 0.989772i | \(0.545566\pi\) | |||||||
\(884\) | −0.304643 | + | 0.0494098i | −0.0102463 | + | 0.00166183i | ||||
\(885\) | −0.621646 | − | 0.188574i | −0.0208964 | − | 0.00633885i | ||||
\(886\) | −6.11906 | − | 5.74743i | −0.205574 | − | 0.193089i | ||||
\(887\) | 21.8464 | + | 32.6954i | 0.733530 | + | 1.09780i | 0.991303 | + | 0.131599i | \(0.0420113\pi\) |
−0.257773 | + | 0.966205i | \(0.582989\pi\) | |||||||
\(888\) | −22.9152 | − | 15.4528i | −0.768982 | − | 0.518562i | ||||
\(889\) | −13.1451 | − | 8.78328i | −0.440873 | − | 0.294582i | ||||
\(890\) | −5.74377 | + | 9.20760i | −0.192532 | + | 0.308639i | ||||
\(891\) | 16.8356 | − | 20.5142i | 0.564013 | − | 0.687252i | ||||
\(892\) | −14.7606 | − | 19.3498i | −0.494222 | − | 0.647879i | ||||
\(893\) | 36.5555 | + | 19.5393i | 1.22328 | + | 0.653858i | ||||
\(894\) | 1.98444 | − | 29.6330i | 0.0663697 | − | 0.991075i | ||||
\(895\) | 15.0190 | 0.502029 | ||||||||
\(896\) | 7.32094 | + | 12.9760i | 0.244575 | + | 0.433496i | ||||
\(897\) | −0.633616 | −0.0211558 | ||||||||
\(898\) | 0.635887 | − | 9.49546i | 0.0212198 | − | 0.316868i | ||||
\(899\) | 8.91771 | + | 4.76661i | 0.297422 | + | 0.158975i | ||||
\(900\) | 0.0477906 | − | 0.0364562i | 0.00159302 | − | 0.00121521i | ||||
\(901\) | −6.27327 | + | 7.64400i | −0.208993 | + | 0.254659i | ||||
\(902\) | −2.74155 | + | 4.39487i | −0.0912837 | + | 0.146333i | ||||
\(903\) | −1.05784 | − | 0.706824i | −0.0352026 | − | 0.0235216i | ||||
\(904\) | −9.04086 | + | 1.75840i | −0.300694 | + | 0.0584834i | ||||
\(905\) | −13.5903 | − | 20.3393i | −0.451757 | − | 0.676102i | ||||
\(906\) | 27.2455 | + | 25.5908i | 0.905170 | + | 0.850197i | ||||
\(907\) | 1.05174 | + | 0.319042i | 0.0349224 | + | 0.0105936i | 0.307698 | − | 0.951484i | \(-0.400442\pi\) |
−0.272775 | + | 0.962078i | \(0.587942\pi\) | |||||||
\(908\) | −0.336516 | − | 2.07484i | −0.0111677 | − | 0.0688558i | ||||
\(909\) | 0.110336 | − | 0.0905507i | 0.00365962 | − | 0.00300338i | ||||
\(910\) | 0.0752483 | − | 0.0977781i | 0.00249446 | − | 0.00324131i | ||||
\(911\) | 16.3705 | − | 6.78088i | 0.542378 | − | 0.224660i | −0.0946366 | − | 0.995512i | \(-0.530169\pi\) |
0.637015 | + | 0.770851i | \(0.280169\pi\) | |||||||
\(912\) | −22.9913 | + | 19.9333i | −0.761319 | + | 0.660059i | ||||
\(913\) | 21.7003 | + | 8.98856i | 0.718176 | + | 0.297478i | ||||
\(914\) | −22.5554 | + | 12.9798i | −0.746066 | + | 0.429332i | ||||
\(915\) | 1.87655 | − | 19.0529i | 0.0620368 | − | 0.629870i | ||||
\(916\) | 0.938830 | − | 26.3898i | 0.0310198 | − | 0.871944i | ||||
\(917\) | −0.997365 | − | 1.86594i | −0.0329359 | − | 0.0616188i | ||||
\(918\) | 6.02119 | − | 15.9294i | 0.198729 | − | 0.525748i | ||||
\(919\) | 6.54715 | + | 1.30231i | 0.215971 | + | 0.0429592i | 0.301890 | − | 0.953343i | \(-0.402383\pi\) |
−0.0859190 | + | 0.996302i | \(0.527383\pi\) | |||||||
\(920\) | 13.7363 | − | 7.26724i | 0.452871 | − | 0.239594i | ||||
\(921\) | −2.53006 | − | 12.7195i | −0.0833684 | − | 0.419121i | ||||
\(922\) | −4.38597 | − | 6.13897i | −0.144444 | − | 0.202176i | ||||
\(923\) | 0.0586298 | + | 0.595278i | 0.00192982 | + | 0.0195938i | ||||
\(924\) | −0.837586 | − | 13.3594i | −0.0275546 | − | 0.439493i | ||||
\(925\) | −1.62956 | − | 5.37194i | −0.0535796 | − | 0.176628i | ||||
\(926\) | −12.2223 | − | 36.1742i | −0.401650 | − | 1.18876i | ||||
\(927\) | −0.147864 | + | 0.147864i | −0.00485651 | + | 0.00485651i | ||||
\(928\) | 2.00771 | − | 50.4008i | 0.0659062 | − | 1.65449i | ||||
\(929\) | −35.7526 | − | 35.7526i | −1.17301 | − | 1.17301i | −0.981490 | − | 0.191516i | \(-0.938660\pi\) |
−0.191516 | − | 0.981490i | \(-0.561340\pi\) | |||||||
\(930\) | 1.23825 | − | 2.50198i | 0.0406038 | − | 0.0820430i | ||||
\(931\) | −22.0221 | + | 6.68034i | −0.721746 | + | 0.218939i | ||||
\(932\) | 42.8399 | + | 14.6778i | 1.40327 | + | 0.480787i | ||||
\(933\) | −17.9193 | + | 1.76490i | −0.586652 | + | 0.0577802i | ||||
\(934\) | 37.3112 | + | 6.21446i | 1.22086 | + | 0.203343i | ||||
\(935\) | −6.66999 | + | 1.32674i | −0.218132 | + | 0.0433892i | ||||
\(936\) | 0.00495537 | + | 0.00267586i | 0.000161971 | + | 8.74632e-5i | ||||
\(937\) | 9.48957 | − | 47.7073i | 0.310011 | − | 1.55853i | −0.440550 | − | 0.897728i | \(-0.645216\pi\) |
0.750561 | − | 0.660802i | \(-0.229784\pi\) | |||||||
\(938\) | −4.25275 | + | 1.91963i | −0.138857 | + | 0.0626782i | ||||
\(939\) | −5.48911 | + | 2.93399i | −0.179130 | + | 0.0957471i | ||||
\(940\) | 6.63150 | + | 17.7722i | 0.216296 | + | 0.579664i | ||||
\(941\) | 2.30091 | + | 0.226619i | 0.0750074 | + | 0.00738758i | 0.135451 | − | 0.990784i | \(-0.456752\pi\) |
−0.0604438 | + | 0.998172i | \(0.519252\pi\) | |||||||
\(942\) | 1.52130 | − | 5.64555i | 0.0495667 | − | 0.183942i | ||||
\(943\) | −2.63763 | + | 6.36780i | −0.0858930 | + | 0.207364i | ||||
\(944\) | 0.862610 | + | 1.21831i | 0.0280756 | + | 0.0396525i | ||||
\(945\) | 2.60530 | + | 6.28974i | 0.0847503 | + | 0.204605i | ||||
\(946\) | 2.27253 | − | 0.295906i | 0.0738862 | − | 0.00962075i | ||||
\(947\) | 6.86489 | + | 8.36490i | 0.223079 | + | 0.271823i | 0.872508 | − | 0.488599i | \(-0.162492\pi\) |
−0.649429 | + | 0.760422i | \(0.724992\pi\) | |||||||
\(948\) | 3.05421 | − | 12.9329i | 0.0991961 | − | 0.420040i | ||||
\(949\) | −0.328008 | + | 1.08130i | −0.0106476 | + | 0.0351004i | ||||
\(950\) | −6.17743 | + | 0.193461i | −0.200422 | + | 0.00627671i | ||||
\(951\) | −8.68904 | + | 5.80583i | −0.281762 | + | 0.188267i | ||||
\(952\) | −3.28588 | − | 8.02925i | −0.106496 | − | 0.260230i | ||||
\(953\) | 25.2598 | − | 37.8040i | 0.818247 | − | 1.22459i | −0.153402 | − | 0.988164i | \(-0.549023\pi\) |
0.971649 | − | 0.236429i | \(-0.0759770\pi\) | |||||||
\(954\) | 0.175789 | − | 0.0407255i | 0.00569137 | − | 0.00131854i | ||||
\(955\) | −15.3282 | − | 12.5796i | −0.496010 | − | 0.407065i | ||||
\(956\) | −5.33893 | − | 3.10265i | −0.172673 | − | 0.100347i | ||||
\(957\) | −21.3629 | + | 39.9671i | −0.690564 | + | 1.29195i | ||||
\(958\) | 22.9440 | + | 26.2376i | 0.741288 | + | 0.847698i | ||||
\(959\) | 22.2466i | 0.718380i | ||||||||
\(960\) | −13.9251 | − | 0.118458i | −0.449432 | − | 0.00382322i | ||||
\(961\) | 29.7140i | 0.958517i | ||||||||
\(962\) | 0.395927 | − | 0.346227i | 0.0127652 | − | 0.0111628i | ||||
\(963\) | −0.0244921 | + | 0.0458215i | −0.000789247 | + | 0.00147658i | ||||
\(964\) | 36.7510 | − | 9.73580i | 1.18367 | − | 0.313569i | ||||
\(965\) | −0.877280 | − | 0.719965i | −0.0282406 | − | 0.0231765i | ||||
\(966\) | −4.01992 | − | 17.3517i | −0.129339 | − | 0.558282i | ||||
\(967\) | 9.85036 | − | 14.7421i | 0.316766 | − | 0.474074i | −0.638583 | − | 0.769553i | \(-0.720479\pi\) |
0.955349 | + | 0.295479i | \(0.0954792\pi\) | |||||||
\(968\) | −4.92940 | − | 4.97151i | −0.158437 | − | 0.159790i | ||||
\(969\) | 14.7329 | − | 9.84420i | 0.473289 | − | 0.316241i | ||||
\(970\) | 0.433294 | + | 13.8356i | 0.0139122 | + | 0.444233i | ||||
\(971\) | 7.09762 | − | 23.3977i | 0.227773 | − | 0.750868i | −0.766331 | − | 0.642445i | \(-0.777920\pi\) |
0.994105 | − | 0.108423i | \(-0.0345801\pi\) | |||||||
\(972\) | −0.531379 | + | 0.328347i | −0.0170440 | + | 0.0105317i | ||||
\(973\) | −0.253252 | − | 0.308589i | −0.00811889 | − | 0.00989289i | ||||
\(974\) | 4.41202 | + | 33.8838i | 0.141370 | + | 1.08571i | ||||
\(975\) | 0.0441321 | + | 0.106544i | 0.00141336 | + | 0.00341215i | ||||
\(976\) | −30.2555 | + | 31.9385i | −0.968456 | + | 1.02233i | ||||
\(977\) | 6.87366 | − | 16.5945i | 0.219908 | − | 0.530905i | −0.774969 | − | 0.631999i | \(-0.782235\pi\) |
0.994877 | + | 0.101095i | \(0.0322345\pi\) | |||||||
\(978\) | 48.3801 | + | 13.0370i | 1.54703 | + | 0.416876i | ||||
\(979\) | −22.2971 | − | 2.19607i | −0.712618 | − | 0.0701868i | ||||
\(980\) | −9.58058 | − | 4.37369i | −0.306040 | − | 0.139712i | ||||
\(981\) | 0.144796 | − | 0.0773953i | 0.00462299 | − | 0.00247104i | ||||
\(982\) | 6.24302 | + | 13.8308i | 0.199223 | + | 0.441358i | ||||
\(983\) | −9.92785 | + | 49.9107i | −0.316649 | + | 1.59190i | 0.414738 | + | 0.909941i | \(0.363873\pi\) |
−0.731387 | + | 0.681963i | \(0.761127\pi\) | |||||||
\(984\) | 4.79101 | − | 3.89790i | 0.152732 | − | 0.124260i | ||||
\(985\) | −10.6625 | + | 2.12089i | −0.339734 | + | 0.0675773i | ||||
\(986\) | −4.82564 | + | 28.9728i | −0.153680 | + | 0.922682i | ||||
\(987\) | 21.6366 | − | 2.13102i | 0.688701 | − | 0.0678311i | ||||
\(988\) | −0.254639 | − | 0.520069i | −0.00810115 | − | 0.0165456i | ||||
\(989\) | 2.91810 | − | 0.885196i | 0.0927902 | − | 0.0281476i | ||||
\(990\) | 0.111221 | + | 0.0550443i | 0.00353483 | + | 0.00174942i | ||||
\(991\) | 25.8626 | + | 25.8626i | 0.821551 | + | 0.821551i | 0.986330 | − | 0.164779i | \(-0.0526912\pi\) |
−0.164779 | + | 0.986330i | \(0.552691\pi\) | |||||||
\(992\) | −5.77333 | + | 2.79639i | −0.183304 | + | 0.0887855i | ||||
\(993\) | −20.7555 | + | 20.7555i | −0.658656 | + | 0.658656i | ||||
\(994\) | −15.9299 | + | 5.38228i | −0.505264 | + | 0.170716i | ||||
\(995\) | −5.35794 | − | 17.6628i | −0.169858 | − | 0.559948i | ||||
\(996\) | −21.0043 | − | 18.5259i | −0.665545 | − | 0.587014i | ||||
\(997\) | 4.19333 | + | 42.5756i | 0.132804 | + | 1.34838i | 0.798426 | + | 0.602094i | \(0.205667\pi\) |
−0.665621 | + | 0.746290i | \(0.731833\pi\) | |||||||
\(998\) | −36.8516 | + | 26.3285i | −1.16652 | + | 0.833414i | ||||
\(999\) | 5.66181 | + | 28.4639i | 0.179132 | + | 0.900557i |
(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 | 640.2.bm.a.621.61 | yes | 1024 | |
128.101 | even | 32 | inner | 640.2.bm.a.101.61 | ✓ | 1024 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
640.2.bm.a.101.61 | ✓ | 1024 | 128.101 | even | 32 | inner | |
640.2.bm.a.621.61 | yes | 1024 | 1.1 | even | 1 | trivial |