Newspace parameters
Level: | \( N \) | \(=\) | \( 1170 = 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1170.bj (of order \(6\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(9.34249703649\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
Defining polynomial: |
\( x^{12} - 2 x^{11} - 8 x^{10} + 34 x^{9} + 8 x^{8} - 134 x^{7} + 98 x^{6} + 154 x^{5} + 104 x^{4} + 190 x^{3} - 1196 x^{2} - 338 x + 2197 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 390) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 199.5 | ||
Root | \(2.00607 + 1.30680i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1170.199 |
Dual form | 1170.2.bj.c.829.5 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1170\mathbb{Z}\right)^\times\).
\(n\) | \(911\) | \(937\) | \(1081\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 1.26873 | − | 1.84128i | 0.567394 | − | 0.823446i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.17283 | + | 3.76344i | 0.821251 | + | 1.42245i | 0.904751 | + | 0.425940i | \(0.140057\pi\) |
−0.0835003 | + | 0.996508i | \(0.526610\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.960230 | + | 2.01940i | 0.303651 | + | 0.638589i | ||||
\(11\) | 2.04055 | + | 1.17811i | 0.615250 | + | 0.355215i | 0.775017 | − | 0.631940i | \(-0.217741\pi\) |
−0.159767 | + | 0.987155i | \(0.551074\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.18419 | + | 1.69144i | 0.883134 | + | 0.469120i | ||||
\(14\) | −4.34565 | −1.16142 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 2.60564 | − | 1.50437i | 0.631962 | − | 0.364863i | −0.149550 | − | 0.988754i | \(-0.547782\pi\) |
0.781511 | + | 0.623891i | \(0.214449\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.585872 | − | 0.338254i | 0.134408 | − | 0.0776007i | −0.431288 | − | 0.902214i | \(-0.641941\pi\) |
0.565696 | + | 0.824614i | \(0.308607\pi\) | |||||||
\(20\) | −2.22896 | − | 0.178114i | −0.498411 | − | 0.0398275i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.04055 | + | 1.17811i | −0.435047 | + | 0.251175i | ||||
\(23\) | −5.58405 | − | 3.22396i | −1.16436 | − | 0.672241i | −0.212012 | − | 0.977267i | \(-0.568002\pi\) |
−0.952344 | + | 0.305026i | \(0.901335\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.78064 | − | 4.67219i | −0.356127 | − | 0.934438i | ||||
\(26\) | −3.05692 | + | 1.91187i | −0.599511 | + | 0.374948i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.17283 | − | 3.76344i | 0.410625 | − | 0.711224i | ||||
\(29\) | −4.82620 | + | 8.35922i | −0.896202 | + | 1.55227i | −0.0638921 | + | 0.997957i | \(0.520351\pi\) |
−0.832310 | + | 0.554311i | \(0.812982\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 7.11493i | − | 1.27788i | −0.769257 | − | 0.638939i | \(-0.779374\pi\) | ||
0.769257 | − | 0.638939i | \(-0.220626\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.00874i | 0.515995i | ||||||||
\(35\) | 9.68629 | + | 0.774021i | 1.63728 | + | 0.130833i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.74165 | + | 6.48073i | −0.615123 | + | 1.06542i | 0.375240 | + | 0.926928i | \(0.377560\pi\) |
−0.990363 | + | 0.138497i | \(0.955773\pi\) | |||||||
\(38\) | 0.676507i | 0.109744i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.26873 | − | 1.84128i | 0.200604 | − | 0.291132i | ||||
\(41\) | 2.60564 | + | 1.50437i | 0.406933 | + | 0.234943i | 0.689471 | − | 0.724313i | \(-0.257843\pi\) |
−0.282538 | + | 0.959256i | \(0.591176\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.91710 | − | 3.41624i | 0.902349 | − | 0.520971i | 0.0243872 | − | 0.999703i | \(-0.492237\pi\) |
0.877961 | + | 0.478731i | \(0.158903\pi\) | |||||||
\(44\) | − | 2.35623i | − | 0.355215i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 5.58405 | − | 3.22396i | 0.823324 | − | 0.475346i | ||||
\(47\) | 5.61529 | 0.819074 | 0.409537 | − | 0.912294i | \(-0.365690\pi\) | ||||
0.409537 | + | 0.912294i | \(0.365690\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.94234 | + | 10.2924i | −0.848906 | + | 1.47035i | ||||
\(50\) | 4.93655 | + | 0.794019i | 0.698134 | + | 0.112291i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.127265 | − | 3.60330i | −0.0176485 | − | 0.499688i | ||||
\(53\) | 9.43400i | 1.29586i | 0.761700 | + | 0.647930i | \(0.224365\pi\) | ||||
−0.761700 | + | 0.647930i | \(0.775635\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.75816 | − | 2.26252i | 0.641590 | − | 0.305078i | ||||
\(56\) | 2.17283 | + | 3.76344i | 0.290356 | + | 0.502911i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.82620 | − | 8.35922i | −0.633711 | − | 1.09762i | ||||
\(59\) | 4.56364 | − | 2.63482i | 0.594135 | − | 0.343024i | −0.172596 | − | 0.984993i | \(-0.555215\pi\) |
0.766731 | + | 0.641969i | \(0.221882\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.15646 | + | 3.73509i | 0.276106 | + | 0.478230i | 0.970414 | − | 0.241449i | \(-0.0776225\pi\) |
−0.694307 | + | 0.719679i | \(0.744289\pi\) | |||||||
\(62\) | 6.16171 | + | 3.55746i | 0.782538 | + | 0.451798i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 7.15429 | − | 3.71700i | 0.887381 | − | 0.461037i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.91329 | − | 5.04596i | 0.355915 | − | 0.616463i | −0.631359 | − | 0.775490i | \(-0.717503\pi\) |
0.987274 | + | 0.159028i | \(0.0508360\pi\) | |||||||
\(68\) | −2.60564 | − | 1.50437i | −0.315981 | − | 0.182432i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.51347 | + | 8.00157i | −0.658986 | + | 0.956370i | ||||
\(71\) | −2.52520 | + | 1.45793i | −0.299686 | + | 0.173024i | −0.642302 | − | 0.766452i | \(-0.722020\pi\) |
0.342616 | + | 0.939476i | \(0.388687\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.67804 | 0.898647 | 0.449323 | − | 0.893369i | \(-0.351665\pi\) | ||||
0.449323 | + | 0.893369i | \(0.351665\pi\) | |||||||
\(74\) | −3.74165 | − | 6.48073i | −0.434958 | − | 0.753369i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.585872 | − | 0.338254i | −0.0672042 | − | 0.0388004i | ||||
\(77\) | 10.2393i | 1.16688i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.74519 | −0.421367 | −0.210683 | − | 0.977554i | \(-0.567569\pi\) | ||||
−0.210683 | + | 0.977554i | \(0.567569\pi\) | |||||||
\(80\) | 0.960230 | + | 2.01940i | 0.107357 | + | 0.225775i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.60564 | + | 1.50437i | −0.287745 | + | 0.166130i | ||||
\(83\) | 10.3557 | 1.13668 | 0.568341 | − | 0.822793i | \(-0.307585\pi\) | ||||
0.568341 | + | 0.822793i | \(0.307585\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.535898 | − | 6.70637i | 0.0581263 | − | 0.727408i | ||||
\(86\) | 6.83247i | 0.736765i | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.04055 | + | 1.17811i | 0.217524 | + | 0.125587i | ||||
\(89\) | −4.15208 | − | 2.39720i | −0.440119 | − | 0.254103i | 0.263529 | − | 0.964651i | \(-0.415114\pi\) |
−0.703648 | + | 0.710549i | \(0.748447\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.553049 | + | 15.6587i | 0.0579753 | + | 1.64148i | ||||
\(92\) | 6.44791i | 0.672241i | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.80764 | + | 4.86298i | −0.289586 | + | 0.501578i | ||||
\(95\) | 0.120495 | − | 1.50791i | 0.0123626 | − | 0.154708i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.17066 | + | 14.1520i | 0.829605 | + | 1.43692i | 0.898349 | + | 0.439283i | \(0.144768\pi\) |
−0.0687436 | + | 0.997634i | \(0.521899\pi\) | |||||||
\(98\) | −5.94234 | − | 10.2924i | −0.600267 | − | 1.03969i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.15592 | + | 3.87817i | −0.315592 | + | 0.387817i | ||||
\(101\) | 6.11911 | − | 10.5986i | 0.608875 | − | 1.05460i | −0.382552 | − | 0.923934i | \(-0.624955\pi\) |
0.991426 | − | 0.130668i | \(-0.0417121\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 3.75144i | − | 0.369640i | −0.982772 | − | 0.184820i | \(-0.940830\pi\) | ||
0.982772 | − | 0.184820i | \(-0.0591702\pi\) | |||||||
\(104\) | 3.18419 | + | 1.69144i | 0.312235 | + | 0.165859i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −8.17008 | − | 4.71700i | −0.793549 | − | 0.458156i | ||||
\(107\) | 14.3904 | + | 8.30831i | 1.39117 | + | 0.803194i | 0.993445 | − | 0.114309i | \(-0.0364654\pi\) |
0.397728 | + | 0.917503i | \(0.369799\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 11.1116i | − | 1.06430i | −0.846652 | − | 0.532148i | \(-0.821385\pi\) | ||
0.846652 | − | 0.532148i | \(-0.178615\pi\) | |||||||
\(110\) | −0.419677 | + | 5.25194i | −0.0400146 | + | 0.500753i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.34565 | −0.410625 | ||||||||
\(113\) | −13.5620 | + | 7.83002i | −1.27581 | + | 0.736587i | −0.976074 | − | 0.217437i | \(-0.930230\pi\) |
−0.299731 | + | 0.954024i | \(0.596897\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −13.0209 | + | 6.19148i | −1.21420 | + | 0.577358i | ||||
\(116\) | 9.65239 | 0.896202 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.26964i | 0.485109i | ||||||||
\(119\) | 11.3232 | + | 6.53747i | 1.03800 | + | 0.599288i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.72410 | − | 4.71827i | −0.247645 | − | 0.428934i | ||||
\(122\) | −4.31292 | −0.390473 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.16171 | + | 3.55746i | −0.553338 | + | 0.319470i | ||||
\(125\) | −10.8620 | − | 2.64911i | −0.971523 | − | 0.236943i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −11.7820 | − | 6.80236i | −1.04549 | − | 0.603611i | −0.124103 | − | 0.992269i | \(-0.539605\pi\) |
−0.921382 | + | 0.388658i | \(0.872939\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.358130 | + | 8.05430i | −0.0314101 | + | 0.706409i | ||||
\(131\) | −10.2122 | −0.892246 | −0.446123 | − | 0.894972i | \(-0.647196\pi\) | ||||
−0.446123 | + | 0.894972i | \(0.647196\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.54600 | + | 1.46993i | 0.220766 | + | 0.127459i | ||||
\(134\) | 2.91329 | + | 5.04596i | 0.251670 | + | 0.435905i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.60564 | − | 1.50437i | 0.223432 | − | 0.128999i | ||||
\(137\) | −6.20689 | − | 10.7506i | −0.530290 | − | 0.918489i | −0.999375 | − | 0.0353365i | \(-0.988750\pi\) |
0.469085 | − | 0.883153i | \(-0.344584\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.80915 | − | 13.5258i | −0.662363 | − | 1.14725i | −0.979993 | − | 0.199032i | \(-0.936220\pi\) |
0.317630 | − | 0.948215i | \(-0.397113\pi\) | |||||||
\(140\) | −4.17283 | − | 8.77559i | −0.352668 | − | 0.741673i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | − | 2.91585i | − | 0.244693i | ||||||
\(143\) | 4.50479 | + | 7.20280i | 0.376710 | + | 0.602329i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.26852 | + | 19.4920i | 0.769709 | + | 1.61872i | ||||
\(146\) | −3.83902 | + | 6.64938i | −0.317720 | + | 0.550307i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 7.48330 | 0.615123 | ||||||||
\(149\) | −16.9104 | + | 9.76324i | −1.38536 | + | 0.799836i | −0.992788 | − | 0.119886i | \(-0.961747\pi\) |
−0.392569 | + | 0.919722i | \(0.628414\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.5027i | 0.936079i | 0.883707 | + | 0.468040i | \(0.155040\pi\) | ||||
−0.883707 | + | 0.468040i | \(0.844960\pi\) | |||||||
\(152\) | 0.585872 | − | 0.338254i | 0.0475205 | − | 0.0274360i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −8.86753 | − | 5.11967i | −0.714566 | − | 0.412555i | ||||
\(155\) | −13.1006 | − | 9.02694i | −1.05226 | − | 0.725061i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 4.47595i | − | 0.357220i | −0.983920 | − | 0.178610i | \(-0.942840\pi\) | ||
0.983920 | − | 0.178610i | \(-0.0571600\pi\) | |||||||
\(158\) | 1.87260 | − | 3.24343i | 0.148976 | − | 0.258033i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.22896 | − | 0.178114i | −0.176215 | − | 0.0140811i | ||||
\(161\) | − | 28.0204i | − | 2.20831i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.87774 | − | 6.71645i | −0.303728 | − | 0.526073i | 0.673249 | − | 0.739416i | \(-0.264898\pi\) |
−0.976977 | + | 0.213343i | \(0.931565\pi\) | |||||||
\(164\) | − | 3.00874i | − | 0.234943i | ||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.17783 | + | 8.96827i | −0.401878 | + | 0.696073i | ||||
\(167\) | 0.339021 | − | 0.587202i | 0.0262342 | − | 0.0454390i | −0.852610 | − | 0.522547i | \(-0.824982\pi\) |
0.878844 | + | 0.477108i | \(0.158315\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.27808 | + | 10.7717i | 0.559852 | + | 0.828593i | ||||
\(170\) | 5.53994 | + | 3.81729i | 0.424894 | + | 0.292772i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.91710 | − | 3.41624i | −0.451174 | − | 0.260486i | ||||
\(173\) | 0.625226 | − | 0.360974i | 0.0475350 | − | 0.0274444i | −0.476044 | − | 0.879421i | \(-0.657930\pi\) |
0.523579 | + | 0.851977i | \(0.324596\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 13.7145 | − | 16.8532i | 1.03672 | − | 1.27398i | ||||
\(176\) | −2.04055 | + | 1.17811i | −0.153812 | + | 0.0888037i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.15208 | − | 2.39720i | 0.311211 | − | 0.179678i | ||||
\(179\) | −3.18673 | + | 5.51958i | −0.238187 | + | 0.412553i | −0.960194 | − | 0.279333i | \(-0.909887\pi\) |
0.722007 | + | 0.691886i | \(0.243220\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 22.0214 | 1.63683 | 0.818417 | − | 0.574624i | \(-0.194852\pi\) | ||||
0.818417 | + | 0.574624i | \(0.194852\pi\) | |||||||
\(182\) | −13.8374 | − | 7.35040i | −1.02569 | − | 0.544848i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −5.58405 | − | 3.22396i | −0.411662 | − | 0.237673i | ||||
\(185\) | 7.18569 | + | 15.1117i | 0.528302 | + | 1.11104i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 7.08928 | 0.518419 | ||||||||
\(188\) | −2.80764 | − | 4.86298i | −0.204768 | − | 0.354669i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.24564 | + | 0.858307i | 0.0903682 | + | 0.0622681i | ||||
\(191\) | 0.293441 | + | 0.508255i | 0.0212326 | + | 0.0367760i | 0.876446 | − | 0.481499i | \(-0.159908\pi\) |
−0.855214 | + | 0.518275i | \(0.826574\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.3135 | + | 19.5955i | −0.814363 | + | 1.41052i | 0.0954215 | + | 0.995437i | \(0.469580\pi\) |
−0.909784 | + | 0.415081i | \(0.863753\pi\) | |||||||
\(194\) | −16.3413 | −1.17324 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 11.8847 | 0.848906 | ||||||||
\(197\) | −0.823770 | + | 1.42681i | −0.0586912 | + | 0.101656i | −0.893878 | − | 0.448310i | \(-0.852026\pi\) |
0.835187 | + | 0.549966i | \(0.185359\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.13665 | − | 8.89694i | −0.364127 | − | 0.630687i | 0.624508 | − | 0.781018i | \(-0.285299\pi\) |
−0.988636 | + | 0.150331i | \(0.951966\pi\) | |||||||
\(200\) | −1.78064 | − | 4.67219i | −0.125910 | − | 0.330374i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.11911 | + | 10.5986i | 0.430539 | + | 0.745716i | ||||
\(203\) | −41.9459 | −2.94403 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.07583 | − | 2.88908i | 0.424355 | − | 0.201782i | ||||
\(206\) | 3.24884 | + | 1.87572i | 0.226357 | + | 0.130688i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.05692 | + | 1.91187i | −0.211959 | + | 0.132564i | ||||
\(209\) | 1.59401 | 0.110260 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.1905 | − | 21.1145i | 0.839226 | − | 1.45358i | −0.0513166 | − | 0.998682i | \(-0.516342\pi\) |
0.890543 | − | 0.454900i | \(-0.150325\pi\) | |||||||
\(212\) | 8.17008 | − | 4.71700i | 0.561124 | − | 0.323965i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −14.3904 | + | 8.30831i | −0.983708 | + | 0.567944i | ||||
\(215\) | 1.21696 | − | 15.2293i | 0.0829959 | − | 1.03863i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 26.7766 | − | 15.4595i | 1.81772 | − | 1.04946i | ||||
\(218\) | 9.62290 | + | 5.55578i | 0.651745 | + | 0.376285i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −4.33848 | − | 2.98942i | −0.292500 | − | 0.201547i | ||||
\(221\) | 10.8414 | − | 0.382907i | 0.729272 | − | 0.0257571i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.31792 | + | 4.01476i | −0.155220 | + | 0.268848i | −0.933139 | − | 0.359516i | \(-0.882942\pi\) |
0.777919 | + | 0.628364i | \(0.216275\pi\) | |||||||
\(224\) | 2.17283 | − | 3.76344i | 0.145178 | − | 0.251456i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | − | 15.6600i | − | 1.04169i | ||||||
\(227\) | −8.89213 | − | 15.4016i | −0.590192 | − | 1.02224i | −0.994206 | − | 0.107489i | \(-0.965719\pi\) |
0.404015 | − | 0.914753i | \(-0.367615\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 15.3361i | − | 1.01344i | −0.862111 | − | 0.506720i | \(-0.830858\pi\) | ||
0.862111 | − | 0.506720i | \(-0.169142\pi\) | |||||||
\(230\) | 1.14846 | − | 14.3722i | 0.0757274 | − | 0.947672i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.82620 | + | 8.35922i | −0.316855 | + | 0.548809i | ||||
\(233\) | − | 7.75548i | − | 0.508079i | −0.967194 | − | 0.254039i | \(-0.918241\pi\) | ||
0.967194 | − | 0.254039i | \(-0.0817593\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.12430 | − | 10.3393i | 0.464738 | − | 0.674463i | ||||
\(236\) | −4.56364 | − | 2.63482i | −0.297068 | − | 0.171512i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −11.3232 | + | 6.53747i | −0.733975 | + | 0.423761i | ||||
\(239\) | − | 18.6409i | − | 1.20578i | −0.797824 | − | 0.602890i | \(-0.794016\pi\) | ||
0.797824 | − | 0.602890i | \(-0.205984\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.65884 | + | 1.53508i | −0.171271 | + | 0.0988833i | −0.583185 | − | 0.812339i | \(-0.698194\pi\) |
0.411914 | + | 0.911223i | \(0.364860\pi\) | |||||||
\(242\) | 5.44819 | 0.350223 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.15646 | − | 3.73509i | 0.138053 | − | 0.239115i | ||||
\(245\) | 11.4120 | + | 23.9999i | 0.729088 | + | 1.53330i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.43766 | − | 0.0860957i | 0.155105 | − | 0.00547814i | ||||
\(248\) | − | 7.11493i | − | 0.451798i | ||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 7.72518 | − | 8.08218i | 0.488583 | − | 0.511162i | ||||
\(251\) | 3.56404 | + | 6.17309i | 0.224960 | + | 0.389642i | 0.956307 | − | 0.292363i | \(-0.0944415\pi\) |
−0.731347 | + | 0.682005i | \(0.761108\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.59637 | − | 13.1573i | −0.477580 | − | 0.827193i | ||||
\(254\) | 11.7820 | − | 6.80236i | 0.739270 | − | 0.426818i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 12.3353 | + | 7.12178i | 0.769454 | + | 0.444244i | 0.832680 | − | 0.553755i | \(-0.186806\pi\) |
−0.0632261 | + | 0.997999i | \(0.520139\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −32.5198 | −2.02068 | ||||||||
\(260\) | −6.79616 | − | 4.33730i | −0.421480 | − | 0.268988i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 5.10611 | − | 8.84404i | 0.315457 | − | 0.546387i | ||||
\(263\) | 13.3385 | + | 7.70101i | 0.822490 | + | 0.474865i | 0.851274 | − | 0.524721i | \(-0.175830\pi\) |
−0.0287845 | + | 0.999586i | \(0.509164\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 17.3707 | + | 11.9692i | 1.06707 | + | 0.735264i | ||||
\(266\) | −2.54600 | + | 1.46993i | −0.156105 | + | 0.0901273i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5.82658 | −0.355915 | ||||||||
\(269\) | −13.3134 | − | 23.0595i | −0.811732 | − | 1.40596i | −0.911651 | − | 0.410966i | \(-0.865192\pi\) |
0.0999185 | − | 0.994996i | \(-0.468142\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.66899 | − | 3.85034i | −0.405112 | − | 0.233892i | 0.283575 | − | 0.958950i | \(-0.408479\pi\) |
−0.688687 | + | 0.725058i | \(0.741813\pi\) | |||||||
\(272\) | 3.00874i | 0.182432i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 12.4138 | 0.749943 | ||||||||
\(275\) | 1.87089 | − | 11.6316i | 0.112819 | − | 0.701414i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.3861 | + | 7.15114i | −0.744211 | + | 0.429671i | −0.823599 | − | 0.567173i | \(-0.808037\pi\) |
0.0793871 | + | 0.996844i | \(0.474704\pi\) | |||||||
\(278\) | 15.6183 | 0.936723 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 9.68629 | + | 0.774021i | 0.578867 | + | 0.0462566i | ||||
\(281\) | − | 7.96746i | − | 0.475299i | −0.971351 | − | 0.237649i | \(-0.923623\pi\) | ||
0.971351 | − | 0.237649i | \(-0.0763769\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 12.7095 | + | 7.33785i | 0.755503 | + | 0.436190i | 0.827679 | − | 0.561202i | \(-0.189661\pi\) |
−0.0721756 | + | 0.997392i | \(0.522994\pi\) | |||||||
\(284\) | 2.52520 | + | 1.45793i | 0.149843 | + | 0.0865120i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −8.49021 | + | 0.299865i | −0.502036 | + | 0.0177314i | ||||
\(287\) | 13.0749i | 0.771789i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.97374 | + | 6.88273i | −0.233750 | + | 0.404866i | ||||
\(290\) | −21.5148 | − | 1.71923i | −1.26339 | − | 0.100956i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.83902 | − | 6.64938i | −0.224662 | − | 0.389125i | ||||
\(293\) | −3.43198 | − | 5.94436i | −0.200498 | − | 0.347273i | 0.748191 | − | 0.663484i | \(-0.230923\pi\) |
−0.948689 | + | 0.316210i | \(0.897589\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.938596 | − | 11.7458i | 0.0546472 | − | 0.683868i | ||||
\(296\) | −3.74165 | + | 6.48073i | −0.217479 | + | 0.376685i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 19.5265i | − | 1.13114i | ||||||
\(299\) | −12.3275 | − | 19.7108i | −0.712921 | − | 1.13990i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 25.7136 | + | 14.8458i | 1.48211 | + | 0.855696i | ||||
\(302\) | −9.96166 | − | 5.75137i | −0.573229 | − | 0.330954i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.676507i | 0.0388004i | ||||||||
\(305\) | 9.61333 | + | 0.768190i | 0.550458 | + | 0.0439865i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −10.9917 | −0.627328 | −0.313664 | − | 0.949534i | \(-0.601557\pi\) | ||||
−0.313664 | + | 0.949534i | \(0.601557\pi\) | |||||||
\(308\) | 8.86753 | − | 5.11967i | 0.505275 | − | 0.291720i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 14.3678 | − | 6.83197i | 0.816039 | − | 0.388030i | ||||
\(311\) | 13.9044 | 0.788446 | 0.394223 | − | 0.919015i | \(-0.371014\pi\) | ||||
0.394223 | + | 0.919015i | \(0.371014\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 14.1734i | 0.801130i | 0.916268 | + | 0.400565i | \(0.131186\pi\) | ||||
−0.916268 | + | 0.400565i | \(0.868814\pi\) | |||||||
\(314\) | 3.87629 | + | 2.23798i | 0.218752 | + | 0.126296i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.87260 | + | 3.24343i | 0.105342 | + | 0.182457i | ||||
\(317\) | −3.20808 | −0.180184 | −0.0900920 | − | 0.995933i | \(-0.528716\pi\) | ||||
−0.0900920 | + | 0.995933i | \(0.528716\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −19.6962 | + | 11.3716i | −1.10278 | + | 0.636688i | ||||
\(320\) | 1.26873 | − | 1.84128i | 0.0709243 | − | 0.102931i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 24.2664 | + | 14.0102i | 1.35231 | + | 0.780757i | ||||
\(323\) | 1.01772 | − | 1.76274i | 0.0566273 | − | 0.0980813i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.23284 | − | 17.8889i | 0.123856 | − | 0.992300i | ||||
\(326\) | 7.75548 | 0.429537 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.60564 | + | 1.50437i | 0.143873 | + | 0.0830649i | ||||
\(329\) | 12.2010 | + | 21.1328i | 0.672665 | + | 1.16509i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −22.3066 | + | 12.8787i | −1.22608 | + | 0.707878i | −0.966208 | − | 0.257765i | \(-0.917014\pi\) |
−0.259873 | + | 0.965643i | \(0.583681\pi\) | |||||||
\(332\) | −5.17783 | − | 8.96827i | −0.284170 | − | 0.492198i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.339021 | + | 0.587202i | 0.0185504 | + | 0.0321302i | ||||
\(335\) | −5.59485 | − | 11.7662i | −0.305680 | − | 0.642854i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.772078i | 0.0420578i | 0.999779 | + | 0.0210289i | \(0.00669420\pi\) | ||||
−0.999779 | + | 0.0210289i | \(0.993306\pi\) | |||||||
\(338\) | −12.9676 | + | 0.917149i | −0.705345 | + | 0.0498863i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −6.07583 | + | 2.88908i | −0.329508 | + | 0.156682i | ||||
\(341\) | 8.38219 | − | 14.5184i | 0.453921 | − | 0.786215i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −21.2271 | −1.14616 | ||||||||
\(344\) | 5.91710 | − | 3.41624i | 0.319028 | − | 0.184191i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.721948i | 0.0388122i | ||||||||
\(347\) | 21.7856 | − | 12.5779i | 1.16951 | − | 0.675218i | 0.215946 | − | 0.976405i | \(-0.430716\pi\) |
0.953565 | + | 0.301188i | \(0.0973830\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −23.6602 | − | 13.6602i | −1.26650 | − | 0.731214i | −0.292176 | − | 0.956365i | \(-0.594379\pi\) |
−0.974324 | + | 0.225151i | \(0.927713\pi\) | |||||||
\(350\) | 7.73802 | + | 20.3037i | 0.413614 | + | 1.08528i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 2.35623i | − | 0.125587i | ||||||
\(353\) | 3.75948 | − | 6.51161i | 0.200097 | − | 0.346578i | −0.748462 | − | 0.663177i | \(-0.769208\pi\) |
0.948559 | + | 0.316599i | \(0.102541\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.519354 | + | 6.49932i | −0.0275644 | + | 0.344948i | ||||
\(356\) | 4.79440i | 0.254103i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.18673 | − | 5.51958i | −0.168424 | − | 0.291719i | ||||
\(359\) | 10.8402i | 0.572124i | 0.958211 | + | 0.286062i | \(0.0923463\pi\) | ||||
−0.958211 | + | 0.286062i | \(0.907654\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.27117 | + | 16.0581i | −0.487956 | + | 0.845165i | ||||
\(362\) | −11.0107 | + | 19.0711i | −0.578708 | + | 1.00235i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 13.2843 | − | 8.30831i | 0.696287 | − | 0.435474i | ||||
\(365\) | 9.74138 | − | 14.1374i | 0.509887 | − | 0.739987i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.50838 | − | 3.75761i | −0.339735 | − | 0.196146i | 0.320420 | − | 0.947276i | \(-0.396176\pi\) |
−0.660155 | + | 0.751130i | \(0.729509\pi\) | |||||||
\(368\) | 5.58405 | − | 3.22396i | 0.291089 | − | 0.168060i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −16.6800 | − | 1.33288i | −0.867151 | − | 0.0692931i | ||||
\(371\) | −35.5043 | + | 20.4984i | −1.84329 | + | 1.06423i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −19.8135 | + | 11.4393i | −1.02590 | + | 0.592305i | −0.915808 | − | 0.401616i | \(-0.868449\pi\) |
−0.110095 | + | 0.993921i | \(0.535115\pi\) | |||||||
\(374\) | −3.54464 | + | 6.13949i | −0.183289 | + | 0.317466i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.61529 | 0.289586 | ||||||||
\(377\) | −29.5066 | + | 18.4541i | −1.51967 | + | 0.950434i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −22.6152 | − | 13.0569i | −1.16166 | − | 0.670687i | −0.209962 | − | 0.977710i | \(-0.567334\pi\) |
−0.951702 | + | 0.307022i | \(0.900667\pi\) | |||||||
\(380\) | −1.36614 | + | 0.649603i | −0.0700813 | + | 0.0333239i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.586882 | −0.0300275 | ||||||||
\(383\) | 6.84652 | + | 11.8585i | 0.349841 | + | 0.605942i | 0.986221 | − | 0.165434i | \(-0.0529024\pi\) |
−0.636380 | + | 0.771376i | \(0.719569\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 18.8535 | + | 12.9910i | 0.960864 | + | 0.662082i | ||||
\(386\) | −11.3135 | − | 19.5955i | −0.575842 | − | 0.997387i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 8.17066 | − | 14.1520i | 0.414802 | − | 0.718459i | ||||
\(389\) | −24.9403 | −1.26452 | −0.632261 | − | 0.774755i | \(-0.717873\pi\) | ||||
−0.632261 | + | 0.774755i | \(0.717873\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −19.4001 | −0.981104 | ||||||||
\(392\) | −5.94234 | + | 10.2924i | −0.300134 | + | 0.519847i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.823770 | − | 1.42681i | −0.0415009 | − | 0.0718817i | ||||
\(395\) | −4.75165 | + | 6.89595i | −0.239081 | + | 0.346973i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −14.5517 | − | 25.2043i | −0.730328 | − | 1.26497i | −0.956743 | − | 0.290934i | \(-0.906034\pi\) |
0.226415 | − | 0.974031i | \(-0.427300\pi\) | |||||||
\(398\) | 10.2733 | 0.514954 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.93655 | + | 0.794019i | 0.246828 | + | 0.0397009i | ||||
\(401\) | 14.4596 | + | 8.34823i | 0.722076 | + | 0.416891i | 0.815516 | − | 0.578734i | \(-0.196453\pi\) |
−0.0934404 | + | 0.995625i | \(0.529786\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 12.0345 | − | 22.6552i | 0.599479 | − | 1.12854i | ||||
\(404\) | −12.2382 | −0.608875 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 20.9730 | − | 36.3262i | 1.04087 | − | 1.80284i | ||||
\(407\) | −15.2701 | + | 8.81618i | −0.756909 | + | 0.437002i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 21.3140 | − | 12.3056i | 1.05391 | − | 0.608475i | 0.130168 | − | 0.991492i | \(-0.458448\pi\) |
0.923741 | + | 0.383017i | \(0.125115\pi\) | |||||||
\(410\) | −0.535898 | + | 6.70637i | −0.0264661 | + | 0.331204i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3.24884 | + | 1.87572i | −0.160059 | + | 0.0924100i | ||||
\(413\) | 19.8320 | + | 11.4500i | 0.975868 | + | 0.563418i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 13.1386 | − | 19.0677i | 0.644947 | − | 0.935996i | ||||
\(416\) | −0.127265 | − | 3.60330i | −0.00623968 | − | 0.176667i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.797003 | + | 1.38045i | −0.0389827 | + | 0.0675200i | ||||
\(419\) | 13.5527 | − | 23.4739i | 0.662091 | − | 1.14678i | −0.317974 | − | 0.948099i | \(-0.603002\pi\) |
0.980065 | − | 0.198676i | \(-0.0636643\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 32.9996i | − | 1.60830i | −0.594425 | − | 0.804151i | \(-0.702620\pi\) | ||
0.594425 | − | 0.804151i | \(-0.297380\pi\) | |||||||
\(422\) | 12.1905 | + | 21.1145i | 0.593422 | + | 1.02784i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 9.43400i | 0.458156i | ||||||||
\(425\) | −11.6684 | − | 9.49533i | −0.566000 | − | 0.460591i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −9.37121 | + | 16.2314i | −0.453505 | + | 0.785493i | ||||
\(428\) | − | 16.6166i | − | 0.803194i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 12.5805 | + | 8.66858i | 0.606686 | + | 0.418036i | ||||
\(431\) | −7.45678 | − | 4.30517i | −0.359180 | − | 0.207373i | 0.309541 | − | 0.950886i | \(-0.399825\pi\) |
−0.668721 | + | 0.743513i | \(0.733158\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.99201 | − | 1.72744i | 0.143787 | − | 0.0830155i | −0.426381 | − | 0.904544i | \(-0.640212\pi\) |
0.570168 | + | 0.821528i | \(0.306878\pi\) | |||||||
\(434\) | 30.9190i | 1.48416i | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.62290 | + | 5.55578i | −0.460853 | + | 0.266074i | ||||
\(437\) | −4.36206 | −0.208666 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.1229 | + | 20.9974i | −0.578593 | + | 1.00215i | 0.417049 | + | 0.908884i | \(0.363064\pi\) |
−0.995641 | + | 0.0932675i | \(0.970269\pi\) | |||||||
\(440\) | 4.75816 | − | 2.26252i | 0.226836 | − | 0.107861i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.08909 | + | 9.58038i | −0.242064 | + | 0.455692i | ||||
\(443\) | − | 13.1629i | − | 0.625390i | −0.949854 | − | 0.312695i | \(-0.898768\pi\) | ||
0.949854 | − | 0.312695i | \(-0.101232\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −9.68180 | + | 4.60373i | −0.458961 | + | 0.218238i | ||||
\(446\) | −2.31792 | − | 4.01476i | −0.109757 | − | 0.190104i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.17283 | + | 3.76344i | 0.102656 | + | 0.177806i | ||||
\(449\) | −2.17774 | + | 1.25732i | −0.102774 | + | 0.0593365i | −0.550506 | − | 0.834831i | \(-0.685565\pi\) |
0.447732 | + | 0.894168i | \(0.352232\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.54464 | + | 6.13949i | 0.166910 | + | 0.289097i | ||||
\(452\) | 13.5620 | + | 7.83002i | 0.637903 | + | 0.368293i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 17.7843 | 0.834657 | ||||||||
\(455\) | 29.5338 | + | 18.8484i | 1.38456 | + | 0.883626i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.38493 | + | 9.32698i | −0.251897 | + | 0.436298i | −0.964048 | − | 0.265728i | \(-0.914388\pi\) |
0.712151 | + | 0.702026i | \(0.247721\pi\) | |||||||
\(458\) | 13.2815 | + | 7.66806i | 0.620602 | + | 0.358305i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 11.8724 | + | 8.18068i | 0.553554 | + | 0.381426i | ||||
\(461\) | −10.2984 | + | 5.94576i | −0.479642 | + | 0.276922i | −0.720267 | − | 0.693697i | \(-0.755981\pi\) |
0.240625 | + | 0.970618i | \(0.422648\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −29.9462 | −1.39172 | −0.695860 | − | 0.718178i | \(-0.744976\pi\) | ||||
−0.695860 | + | 0.718178i | \(0.744976\pi\) | |||||||
\(464\) | −4.82620 | − | 8.35922i | −0.224051 | − | 0.388067i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.71645 | + | 3.87774i | 0.311133 | + | 0.179633i | ||||
\(467\) | − | 21.8940i | − | 1.01313i | −0.862201 | − | 0.506566i | \(-0.830915\pi\) | ||
0.862201 | − | 0.506566i | \(-0.169085\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 25.3203 | 1.16918 | ||||||||
\(470\) | 5.39197 | + | 11.3395i | 0.248713 | + | 0.523051i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.56364 | − | 2.63482i | 0.210059 | − | 0.121277i | ||||
\(473\) | 16.0989 | 0.740227 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.62361 | − | 2.13500i | −0.120379 | − | 0.0979605i | ||||
\(476\) | − | 13.0749i | − | 0.599288i | ||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 16.1435 | + | 9.32045i | 0.738386 | + | 0.426307i | ||||
\(479\) | 7.90106 | + | 4.56168i | 0.361009 | + | 0.208429i | 0.669523 | − | 0.742791i | \(-0.266498\pi\) |
−0.308514 | + | 0.951220i | \(0.599832\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −22.8758 | + | 14.3071i | −1.04305 | + | 0.652346i | ||||
\(482\) | − | 3.07016i | − | 0.139842i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.72410 | + | 4.71827i | −0.123823 | + | 0.214467i | ||||
\(485\) | 36.4242 | + | 2.91062i | 1.65394 | + | 0.132164i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.8587 | + | 18.8079i | 0.492056 | + | 0.852265i | 0.999958 | − | 0.00914916i | \(-0.00291231\pi\) |
−0.507902 | + | 0.861415i | \(0.669579\pi\) | |||||||
\(488\) | 2.15646 | + | 3.73509i | 0.0976183 | + | 0.169080i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −26.4905 | − | 2.11683i | −1.19672 | − | 0.0956285i | ||||
\(491\) | −16.5438 | + | 28.6548i | −0.746613 | + | 1.29317i | 0.202824 | + | 0.979215i | \(0.434988\pi\) |
−0.949437 | + | 0.313957i | \(0.898345\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 29.0415i | 1.30796i | ||||||||
\(494\) | −1.14427 | + | 2.15412i | −0.0514831 | + | 0.0969187i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.16171 | + | 3.55746i | 0.276669 | + | 0.159735i | ||||
\(497\) | −10.9736 | − | 6.33564i | −0.492235 | − | 0.284192i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.4889i | 0.469546i | 0.972050 | + | 0.234773i | \(0.0754347\pi\) | ||||
−0.972050 | + | 0.234773i | \(0.924565\pi\) | |||||||
\(500\) | 3.13679 | + | 10.7313i | 0.140281 | + | 0.479918i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −7.12807 | −0.318142 | ||||||||
\(503\) | 7.14818 | − | 4.12700i | 0.318722 | − | 0.184014i | −0.332101 | − | 0.943244i | \(-0.607757\pi\) |
0.650823 | + | 0.759230i | \(0.274424\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −11.7515 | − | 24.7138i | −0.522936 | − | 1.09975i | ||||
\(506\) | 15.1927 | 0.675400 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 13.6047i | 0.603611i | ||||||||
\(509\) | −5.84526 | − | 3.37476i | −0.259087 | − | 0.149584i | 0.364831 | − | 0.931074i | \(-0.381127\pi\) |
−0.623918 | + | 0.781490i | \(0.714460\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 16.6830 | + | 28.8959i | 0.738014 | + | 1.27828i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.3353 | + | 7.12178i | −0.544086 | + | 0.314128i | ||||
\(515\) | −6.90745 | − | 4.75957i | −0.304379 | − | 0.209732i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 11.4583 | + | 6.61545i | 0.503935 | + | 0.290947i | ||||
\(518\) | 16.2599 | − | 28.1630i | 0.714419 | − | 1.23741i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 7.15429 | − | 3.71700i | 0.313737 | − | 0.163001i | ||||
\(521\) | 30.4048 | 1.33206 | 0.666029 | − | 0.745926i | \(-0.267993\pi\) | ||||
0.666029 | + | 0.745926i | \(0.267993\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.72235 | − | 1.57175i | −0.119040 | − | 0.0687279i | 0.439298 | − | 0.898342i | \(-0.355227\pi\) |
−0.558338 | + | 0.829614i | \(0.688561\pi\) | |||||||
\(524\) | 5.10611 | + | 8.84404i | 0.223062 | + | 0.386354i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −13.3385 | + | 7.70101i | −0.581588 | + | 0.335780i | ||||
\(527\) | −10.7035 | − | 18.5390i | −0.466251 | − | 0.807570i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.28778 | + | 16.0869i | 0.403816 | + | 0.699431i | ||||
\(530\) | −19.0510 | + | 9.05881i | −0.827522 | + | 0.393490i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | − | 2.93986i | − | 0.127459i | ||||||
\(533\) | 5.75231 | + | 9.19748i | 0.249160 | + | 0.398387i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 33.5555 | − | 15.9558i | 1.45073 | − | 0.689828i | ||||
\(536\) | 2.91329 | − | 5.04596i | 0.125835 | − | 0.217952i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 26.6268 | 1.14796 | ||||||||
\(539\) | −24.2513 | + | 14.0015i | −1.04458 | + | 0.603088i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 17.6144i | − | 0.757301i | −0.925540 | − | 0.378650i | \(-0.876388\pi\) | ||
0.925540 | − | 0.378650i | \(-0.123612\pi\) | |||||||
\(542\) | 6.66899 | − | 3.85034i | 0.286458 | − | 0.165386i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −2.60564 | − | 1.50437i | −0.111716 | − | 0.0644993i | ||||
\(545\) | −20.4595 | − | 14.0976i | −0.876390 | − | 0.603875i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 40.8067i | − | 1.74477i | −0.488820 | − | 0.872385i | \(-0.662572\pi\) | ||
0.488820 | − | 0.872385i | \(-0.337428\pi\) | |||||||
\(548\) | −6.20689 | + | 10.7506i | −0.265145 | + | 0.459245i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 9.13785 | + | 7.43606i | 0.389639 | + | 0.317075i | ||||
\(551\) | 6.52991i | 0.278184i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.13765 | − | 14.0948i | −0.346048 | − | 0.599373i | ||||
\(554\) | − | 14.3023i | − | 0.607646i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.80915 | + | 13.5258i | −0.331182 | + | 0.573623i | ||||
\(557\) | 12.6109 | − | 21.8427i | 0.534340 | − | 0.925504i | −0.464855 | − | 0.885387i | \(-0.653894\pi\) |
0.999195 | − | 0.0401170i | \(-0.0127731\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 24.6195 | − | 0.869535i | 1.04129 | − | 0.0367774i | ||||
\(560\) | −5.51347 | + | 8.00157i | −0.232987 | + | 0.338128i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.90002 | + | 3.98373i | 0.291060 | + | 0.168043i | ||||
\(563\) | −31.5356 | + | 18.2071i | −1.32907 | + | 0.767337i | −0.985155 | − | 0.171664i | \(-0.945086\pi\) |
−0.343912 | + | 0.939002i | \(0.611752\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.78927 | + | 34.9057i | −0.117346 | + | 1.46849i | ||||
\(566\) | −12.7095 | + | 7.33785i | −0.534222 | + | 0.308433i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.52520 | + | 1.45793i | −0.105955 | + | 0.0611732i | ||||
\(569\) | 13.6768 | − | 23.6888i | 0.573360 | − | 0.993088i | −0.422858 | − | 0.906196i | \(-0.638973\pi\) |
0.996218 | − | 0.0868922i | \(-0.0276936\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 45.7020 | 1.91257 | 0.956285 | − | 0.292438i | \(-0.0944664\pi\) | ||||
0.956285 | + | 0.292438i | \(0.0944664\pi\) | |||||||
\(572\) | 3.98541 | − | 7.50267i | 0.166638 | − | 0.313702i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −11.3232 | − | 6.53747i | −0.472622 | − | 0.272869i | ||||
\(575\) | −5.11976 | + | 31.8304i | −0.213509 | + | 1.32742i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −31.1697 | −1.29761 | −0.648806 | − | 0.760954i | \(-0.724731\pi\) | ||||
−0.648806 | + | 0.760954i | \(0.724731\pi\) | |||||||
\(578\) | −3.97374 | − | 6.88273i | −0.165286 | − | 0.286284i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 12.2463 | − | 17.7728i | 0.508500 | − | 0.737974i | ||||
\(581\) | 22.5011 | + | 38.9730i | 0.933501 | + | 1.61687i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −11.1143 | + | 19.2506i | −0.460308 | + | 0.797278i | ||||
\(584\) | 7.67804 | 0.317720 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.86396 | 0.283547 | ||||||||
\(587\) | 7.61411 | − | 13.1880i | 0.314268 | − | 0.544328i | −0.665014 | − | 0.746831i | \(-0.731574\pi\) |
0.979282 | + | 0.202503i | \(0.0649076\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.40665 | − | 4.16844i | −0.0991643 | − | 0.171758i | ||||
\(590\) | 9.70288 | + | 6.68576i | 0.399461 | + | 0.275248i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.74165 | − | 6.48073i | −0.153781 | − | 0.266356i | ||||
\(593\) | −15.1921 | −0.623865 | −0.311933 | − | 0.950104i | \(-0.600976\pi\) | ||||
−0.311933 | + | 0.950104i | \(0.600976\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 26.4035 | − | 12.5549i | 1.08244 | − | 0.514703i | ||||
\(596\) | 16.9104 | + | 9.76324i | 0.692678 | + | 0.399918i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 23.2338 | − | 0.820594i | 0.950100 | − | 0.0335566i | ||||
\(599\) | −4.34655 | −0.177595 | −0.0887975 | − | 0.996050i | \(-0.528302\pi\) | ||||
−0.0887975 | + | 0.996050i | \(0.528302\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.14622 | + | 8.91351i | −0.209918 | + | 0.363590i | −0.951689 | − | 0.307065i | \(-0.900653\pi\) |
0.741770 | + | 0.670654i | \(0.233987\pi\) | |||||||
\(602\) | −25.7136 | + | 14.8458i | −1.04801 | + | 0.605069i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 9.96166 | − | 5.75137i | 0.405334 | − | 0.234020i | ||||
\(605\) | −12.1438 | − | 0.970399i | −0.493716 | − | 0.0394523i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 37.6094 | − | 21.7138i | 1.52652 | − | 0.881335i | 0.527012 | − | 0.849858i | \(-0.323312\pi\) |
0.999504 | − | 0.0314772i | \(-0.0100212\pi\) | |||||||
\(608\) | −0.585872 | − | 0.338254i | −0.0237603 | − | 0.0137180i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5.47194 | + | 7.94129i | −0.221552 | + | 0.321534i | ||||
\(611\) | 17.8801 | + | 9.49791i | 0.723352 | + | 0.384244i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −16.3258 | + | 28.2771i | −0.659392 | + | 1.14210i | 0.321382 | + | 0.946950i | \(0.395853\pi\) |
−0.980773 | + | 0.195150i | \(0.937481\pi\) | |||||||
\(614\) | 5.49584 | − | 9.51907i | 0.221794 | − | 0.384159i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 10.2393i | 0.412555i | ||||||||
\(617\) | −4.83488 | − | 8.37426i | −0.194645 | − | 0.337135i | 0.752139 | − | 0.659004i | \(-0.229022\pi\) |
−0.946784 | + | 0.321869i | \(0.895689\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.20064i | 0.209031i | 0.994523 | + | 0.104516i | \(0.0333292\pi\) | ||||
−0.994523 | + | 0.104516i | \(0.966671\pi\) | |||||||
\(620\) | −1.26727 | + | 15.8589i | −0.0508947 | + | 0.636909i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −6.95220 | + | 12.0416i | −0.278758 | + | 0.482823i | ||||
\(623\) | − | 20.8348i | − | 0.834729i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −18.6587 | + | 16.6389i | −0.746347 | + | 0.665557i | ||||
\(626\) | −12.2746 | − | 7.08672i | −0.490590 | − | 0.283242i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.87629 | + | 2.23798i | −0.154681 | + | 0.0893050i | ||||
\(629\) | 22.5153i | 0.897743i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.86811 | + | 3.96531i | −0.273415 | + | 0.157856i | −0.630439 | − | 0.776239i | \(-0.717125\pi\) |
0.357023 | + | 0.934095i | \(0.383792\pi\) | |||||||
\(632\) | −3.74519 | −0.148976 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.60404 | − | 2.77828i | 0.0637046 | − | 0.110340i | ||||
\(635\) | −27.4733 | + | 13.0637i | −1.09024 | + | 0.518415i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −36.3305 | + | 22.7219i | −1.43947 | + | 0.900276i | ||||
\(638\) | − | 22.7432i | − | 0.900413i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.960230 | + | 2.01940i | 0.0379564 | + | 0.0798236i | ||||
\(641\) | 1.69937 | + | 2.94340i | 0.0671212 | + | 0.116257i | 0.897633 | − | 0.440744i | \(-0.145285\pi\) |
−0.830512 | + | 0.557001i | \(0.811952\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.69916 | − | 8.13918i | −0.185317 | − | 0.320978i | 0.758367 | − | 0.651828i | \(-0.225998\pi\) |
−0.943683 | + | 0.330851i | \(0.892664\pi\) | |||||||
\(644\) | −24.2664 | + | 14.0102i | −0.956228 | + | 0.552079i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.01772 | + | 1.76274i | 0.0400415 | + | 0.0693540i | ||||
\(647\) | −34.6972 | − | 20.0324i | −1.36409 | − | 0.787555i | −0.373921 | − | 0.927461i | \(-0.621987\pi\) |
−0.990165 | + | 0.139905i | \(0.955320\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 12.4165 | 0.487389 | ||||||||
\(650\) | 14.3759 | + | 10.8782i | 0.563868 | + | 0.426677i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.87774 | + | 6.71645i | −0.151864 | + | 0.263036i | ||||
\(653\) | 27.1900 | + | 15.6981i | 1.06403 | + | 0.614316i | 0.926543 | − | 0.376189i | \(-0.122766\pi\) |
0.137483 | + | 0.990504i | \(0.456099\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −12.9566 | + | 18.8036i | −0.506255 | + | 0.734717i | ||||
\(656\) | −2.60564 | + | 1.50437i | −0.101733 | + | 0.0587358i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −24.4021 | −0.951292 | ||||||||
\(659\) | −9.48950 | − | 16.4363i | −0.369659 | − | 0.640268i | 0.619853 | − | 0.784718i | \(-0.287192\pi\) |
−0.989512 | + | 0.144450i | \(0.953859\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 11.4484 | + | 6.60972i | 0.445290 | + | 0.257088i | 0.705839 | − | 0.708372i | \(-0.250570\pi\) |
−0.260549 | + | 0.965461i | \(0.583904\pi\) | |||||||
\(662\) | − | 25.7574i | − | 1.00109i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.3557 | 0.401878 | ||||||||
\(665\) | 5.93675 | − | 2.82295i | 0.230217 | − | 0.109469i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 53.8995 | − | 31.1189i | 2.08700 | − | 1.20493i | ||||
\(668\) | −0.678042 | −0.0262342 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 12.9872 | + | 1.03779i | 0.501740 | + | 0.0400935i | ||||
\(671\) | 10.1622i | 0.392308i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.44817 | − | 4.30020i | −0.287106 | − | 0.165761i | 0.349530 | − | 0.936925i | \(-0.386341\pi\) |
−0.636636 | + | 0.771164i | \(0.719675\pi\) | |||||||
\(674\) | −0.668639 | − | 0.386039i | −0.0257550 | − | 0.0148697i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.68953 | − | 11.6889i | 0.218828 | − | 0.449571i | ||||
\(677\) | 25.8539i | 0.993646i | 0.867852 | + | 0.496823i | \(0.165500\pi\) | ||||
−0.867852 | + | 0.496823i | \(0.834500\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −35.5068 | + | 61.4997i | −1.36263 | + | 2.36014i | ||||
\(680\) | 0.535898 | − | 6.70637i | 0.0205508 | − | 0.257177i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 8.38219 | + | 14.5184i | 0.320971 | + | 0.555938i | ||||
\(683\) | 10.4524 | + | 18.1041i | 0.399950 | + | 0.692734i | 0.993719 | − | 0.111901i | \(-0.0356941\pi\) |
−0.593769 | + | 0.804636i | \(0.702361\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −27.6698 | − | 2.21107i | −1.05721 | − | 0.0844805i | ||||
\(686\) | 10.6136 | − | 18.3832i | 0.405228 | − | 0.701875i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 6.83247i | 0.260486i | ||||||||
\(689\) | −15.9570 | + | 30.0396i | −0.607914 | + | 1.14442i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −42.3440 | − | 24.4473i | −1.61084 | − | 0.930019i | −0.989176 | − | 0.146736i | \(-0.953123\pi\) |
−0.621665 | − | 0.783283i | \(-0.713543\pi\) | |||||||
\(692\) | −0.625226 | − | 0.360974i | −0.0237675 | − | 0.0137222i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 25.1558i | 0.954902i | ||||||||
\(695\) | −34.8126 | − | 2.78184i | −1.32052 | − | 0.105521i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 9.05251 | 0.342888 | ||||||||
\(698\) | 23.6602 | − | 13.6602i | 0.895551 | − | 0.517046i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −21.4525 | − | 3.45053i | −0.810829 | − | 0.130418i | ||||
\(701\) | −31.9805 | −1.20789 | −0.603944 | − | 0.797027i | \(-0.706405\pi\) | ||||
−0.603944 | + | 0.797027i | \(0.706405\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5.06250i | 0.190936i | ||||||||
\(704\) | 2.04055 | + | 1.17811i | 0.0769062 | + | 0.0444018i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.75948 | + | 6.51161i | 0.141490 | + | 0.245068i | ||||
\(707\) | 53.1831 | 2.00016 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.42026 | + | 3.12939i | −0.203562 | + | 0.117527i | −0.598316 | − | 0.801260i | \(-0.704163\pi\) |
0.394754 | + | 0.918787i | \(0.370830\pi\) | |||||||
\(710\) | −5.36890 | − | 3.69944i | −0.201491 | − | 0.138837i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.15208 | − | 2.39720i | −0.155606 | − | 0.0898389i | ||||
\(713\) | −22.9382 | + | 39.7301i | −0.859043 | + | 1.48791i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 18.9778 | + | 0.843835i | 0.709728 | + | 0.0315577i | ||||
\(716\) | 6.37346 | 0.238187 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.38789 | − | 5.42010i | −0.350353 | − | 0.202276i | ||||
\(719\) | 9.52308 | + | 16.4945i | 0.355151 | + | 0.615140i | 0.987144 | − | 0.159835i | \(-0.0510961\pi\) |
−0.631993 | + | 0.774974i | \(0.717763\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.1183 | − | 8.15122i | 0.525794 | − | 0.303567i | ||||
\(722\) | −9.27117 | − | 16.0581i | −0.345037 | − | 0.597622i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −11.0107 | − | 19.0711i | −0.409209 | − | 0.708770i | ||||
\(725\) | 47.6495 | + | 7.66418i | 1.76966 | + | 0.284640i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 28.2602i | 1.04811i | 0.851684 | + | 0.524056i | \(0.175582\pi\) | ||||
−0.851684 | + | 0.524056i | \(0.824418\pi\) | |||||||
\(728\) | 0.553049 | + | 15.6587i | 0.0204974 | + | 0.580350i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 7.37269 | + | 15.5050i | 0.272875 | + | 0.573866i | ||||
\(731\) | 10.2786 | − | 17.8030i | 0.380166 | − | 0.658468i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.28165 | 0.195082 | 0.0975410 | − | 0.995232i | \(-0.468902\pi\) | ||||
0.0975410 | + | 0.995232i | \(0.468902\pi\) | |||||||
\(734\) | 6.50838 | − | 3.75761i | 0.240229 | − | 0.138696i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.44791i | 0.237673i | ||||||||
\(737\) | 11.8894 | − | 6.86437i | 0.437953 | − | 0.252852i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 34.5736 | + | 19.9611i | 1.27181 | + | 0.734280i | 0.975329 | − | 0.220758i | \(-0.0708533\pi\) |
0.296482 | + | 0.955038i | \(0.404187\pi\) | |||||||
\(740\) | 9.49430 | − | 13.7789i | 0.349018 | − | 0.506521i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | − | 40.9969i | − | 1.50504i | ||||||
\(743\) | −9.28543 | + | 16.0828i | −0.340650 | + | 0.590022i | −0.984553 | − | 0.175084i | \(-0.943980\pi\) |
0.643904 | + | 0.765106i | \(0.277314\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.47794 | + | 43.5238i | −0.127422 | + | 1.59459i | ||||
\(746\) | − | 22.8786i | − | 0.837646i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −3.54464 | − | 6.13949i | −0.129605 | − | 0.224482i | ||||
\(749\) | 72.2100i | 2.63850i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.1001 | − | 26.1541i | 0.551010 | − | 0.954377i | −0.447192 | − | 0.894438i | \(-0.647576\pi\) |
0.998202 | − | 0.0599394i | \(-0.0190907\pi\) | |||||||
\(752\) | −2.80764 | + | 4.86298i | −0.102384 | + | 0.177335i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.22841 | − | 34.7805i | −0.0447361 | − | 1.26663i | ||||
\(755\) | 21.1798 | + | 14.5939i | 0.770811 | + | 0.531126i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.85341 | + | 2.80211i | 0.176400 | + | 0.101845i | 0.585600 | − | 0.810600i | \(-0.300859\pi\) |
−0.409200 | + | 0.912445i | \(0.634192\pi\) | |||||||
\(758\) | 22.6152 | − | 13.0569i | 0.821421 | − | 0.474247i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.120495 | − | 1.50791i | 0.00437083 | − | 0.0546976i | ||||
\(761\) | 5.77640 | − | 3.33501i | 0.209394 | − | 0.120894i | −0.391635 | − | 0.920120i | \(-0.628091\pi\) |
0.601030 | + | 0.799227i | \(0.294757\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 41.8178 | − | 24.1435i | 1.51391 | − | 0.874053i | ||||
\(764\) | 0.293441 | − | 0.508255i | 0.0106163 | − | 0.0183880i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −13.6930 | −0.494750 | ||||||||
\(767\) | 18.9881 | − | 0.670640i | 0.685621 | − | 0.0242154i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 6.03234 | + | 3.48277i | 0.217532 | + | 0.125592i | 0.604807 | − | 0.796372i | \(-0.293250\pi\) |
−0.387275 | + | 0.921964i | \(0.626584\pi\) | |||||||
\(770\) | −20.6773 | + | 9.83213i | −0.745158 | + | 0.354325i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 22.6270 | 0.814363 | ||||||||
\(773\) | −10.6748 | − | 18.4893i | −0.383945 | − | 0.665013i | 0.607677 | − | 0.794184i | \(-0.292102\pi\) |
−0.991622 | + | 0.129172i | \(0.958768\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −33.2423 | + | 12.6691i | −1.19410 | + | 0.455087i | ||||
\(776\) | 8.17066 | + | 14.1520i | 0.293310 | + | 0.508027i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 12.4701 | − | 21.5989i | 0.447076 | − | 0.774359i | ||||
\(779\) | 2.03543 | 0.0729270 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.87041 | −0.245843 | ||||||||
\(782\) | 9.70004 | − | 16.8010i | 0.346873 | − | 0.600801i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5.94234 | − | 10.2924i | −0.212226 | − | 0.367587i | ||||
\(785\) | −8.24149 | − | 5.67879i | −0.294151 | − | 0.202685i | ||||
\(786\) | 0 | 0 |