Newspace parameters
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.r (of order \(6\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
Defining polynomial: |
\( x^{16} - 11x^{14} + 85x^{12} - 334x^{10} + 952x^{8} - 1050x^{6} + 853x^{4} - 93x^{2} + 9 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 25.4 | ||
Root | \(0.287846 + 0.166188i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 91.25 |
Dual form | 91.2.r.a.51.4 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.287846 | + | 0.166188i | −0.203538 | + | 0.117512i | −0.598304 | − | 0.801269i | \(-0.704159\pi\) |
0.394767 | + | 0.918781i | \(0.370825\pi\) | |||||||
\(3\) | −0.729919 | + | 1.26426i | −0.421419 | + | 0.729919i | −0.996079 | − | 0.0884737i | \(-0.971801\pi\) |
0.574660 | + | 0.818392i | \(0.305134\pi\) | |||||||
\(4\) | −0.944763 | + | 1.63638i | −0.472382 | + | 0.818189i | ||||
\(5\) | −1.25195 | + | 0.722811i | −0.559887 | + | 0.323251i | −0.753100 | − | 0.657906i | \(-0.771442\pi\) |
0.193213 | + | 0.981157i | \(0.438109\pi\) | |||||||
\(6\) | − | 0.485214i | − | 0.198088i | ||||||
\(7\) | −2.26391 | − | 1.36920i | −0.855677 | − | 0.517510i | ||||
\(8\) | − | 1.29278i | − | 0.457068i | ||||||
\(9\) | 0.434437 | + | 0.752468i | 0.144812 | + | 0.250823i | ||||
\(10\) | 0.240245 | − | 0.416116i | 0.0759720 | − | 0.131587i | ||||
\(11\) | 5.15732 | + | 2.97758i | 1.55499 | + | 0.897774i | 0.997723 | + | 0.0674405i | \(0.0214833\pi\) |
0.557267 | + | 0.830333i | \(0.311850\pi\) | |||||||
\(12\) | −1.37920 | − | 2.38885i | −0.398141 | − | 0.689600i | ||||
\(13\) | 1.88953 | + | 3.07078i | 0.524060 | + | 0.851681i | ||||
\(14\) | 0.879201 | + | 0.0178849i | 0.234976 | + | 0.00477994i | ||||
\(15\) | − | 2.11037i | − | 0.544896i | ||||||
\(16\) | −1.67468 | − | 2.90063i | −0.418670 | − | 0.725159i | ||||
\(17\) | 2.16436 | − | 3.74877i | 0.524933 | − | 0.909211i | −0.474645 | − | 0.880177i | \(-0.657424\pi\) |
0.999578 | − | 0.0290341i | \(-0.00924314\pi\) | |||||||
\(18\) | −0.250102 | − | 0.144396i | −0.0589496 | − | 0.0340345i | ||||
\(19\) | −1.69527 | + | 0.978767i | −0.388923 | + | 0.224545i | −0.681693 | − | 0.731638i | \(-0.738756\pi\) |
0.292771 | + | 0.956183i | \(0.405423\pi\) | |||||||
\(20\) | − | 2.73154i | − | 0.610791i | ||||||
\(21\) | 3.38349 | − | 1.86276i | 0.738339 | − | 0.406486i | ||||
\(22\) | −1.97935 | −0.421998 | ||||||||
\(23\) | −0.270081 | − | 0.467795i | −0.0563158 | − | 0.0975419i | 0.836493 | − | 0.547977i | \(-0.184602\pi\) |
−0.892809 | + | 0.450436i | \(0.851269\pi\) | |||||||
\(24\) | 1.63441 | + | 0.943626i | 0.333622 | + | 0.192617i | ||||
\(25\) | −1.45509 | + | 2.52029i | −0.291018 | + | 0.504058i | ||||
\(26\) | −1.05422 | − | 0.569894i | −0.206749 | − | 0.111765i | ||||
\(27\) | −5.64793 | −1.08694 | ||||||||
\(28\) | 4.37939 | − | 2.41104i | 0.827627 | − | 0.455644i | ||||
\(29\) | 7.15857 | 1.32931 | 0.664656 | − | 0.747149i | \(-0.268578\pi\) | ||||
0.664656 | + | 0.747149i | \(0.268578\pi\) | |||||||
\(30\) | 0.350718 | + | 0.607461i | 0.0640320 | + | 0.110907i | ||||
\(31\) | −5.28968 | − | 3.05400i | −0.950055 | − | 0.548514i | −0.0569568 | − | 0.998377i | \(-0.518140\pi\) |
−0.893098 | + | 0.449862i | \(0.851473\pi\) | |||||||
\(32\) | 3.20327 | + | 1.84941i | 0.566263 | + | 0.326932i | ||||
\(33\) | −7.52885 | + | 4.34678i | −1.31060 | + | 0.756678i | ||||
\(34\) | 1.43876i | 0.246745i | ||||||||
\(35\) | 3.82396 | + | 0.0777879i | 0.646368 | + | 0.0131486i | ||||
\(36\) | −1.64176 | −0.273627 | ||||||||
\(37\) | 6.95316 | − | 4.01441i | 1.14309 | − | 0.659964i | 0.195897 | − | 0.980624i | \(-0.437238\pi\) |
0.947194 | + | 0.320660i | \(0.103905\pi\) | |||||||
\(38\) | 0.325318 | − | 0.563467i | 0.0527736 | − | 0.0914065i | ||||
\(39\) | −5.26145 | + | 0.147426i | −0.842507 | + | 0.0236071i | ||||
\(40\) | 0.934437 | + | 1.61849i | 0.147748 | + | 0.255906i | ||||
\(41\) | 7.55362i | 1.17968i | 0.807521 | + | 0.589839i | \(0.200809\pi\) | ||||
−0.807521 | + | 0.589839i | \(0.799191\pi\) | |||||||
\(42\) | −0.664356 | + | 1.09848i | −0.102512 | + | 0.169499i | ||||
\(43\) | −4.24839 | −0.647873 | −0.323936 | − | 0.946079i | \(-0.605006\pi\) | ||||
−0.323936 | + | 0.946079i | \(0.605006\pi\) | |||||||
\(44\) | −9.74489 | + | 5.62622i | −1.46910 | + | 0.848184i | ||||
\(45\) | −1.08778 | − | 0.628032i | −0.162157 | − | 0.0936215i | ||||
\(46\) | 0.155483 | + | 0.0897684i | 0.0229248 | + | 0.0132356i | ||||
\(47\) | 5.42204 | − | 3.13042i | 0.790886 | − | 0.456618i | −0.0493882 | − | 0.998780i | \(-0.515727\pi\) |
0.840274 | + | 0.542161i | \(0.182394\pi\) | |||||||
\(48\) | 4.88953 | 0.705742 | ||||||||
\(49\) | 3.25057 | + | 6.19950i | 0.464367 | + | 0.885643i | ||||
\(50\) | − | 0.967272i | − | 0.136793i | ||||||
\(51\) | 3.15961 | + | 5.47260i | 0.442434 | + | 0.766317i | ||||
\(52\) | −6.81011 | + | 0.190820i | −0.944393 | + | 0.0264619i | ||||
\(53\) | 1.38953 | − | 2.40673i | 0.190866 | − | 0.330590i | −0.754671 | − | 0.656103i | \(-0.772204\pi\) |
0.945538 | + | 0.325513i | \(0.105537\pi\) | |||||||
\(54\) | 1.62573 | − | 0.938616i | 0.221234 | − | 0.127729i | ||||
\(55\) | −8.60891 | −1.16082 | ||||||||
\(56\) | −1.77008 | + | 2.92674i | −0.236537 | + | 0.391103i | ||||
\(57\) | − | 2.85768i | − | 0.378509i | ||||||
\(58\) | −2.06056 | + | 1.18967i | −0.270565 | + | 0.156211i | ||||
\(59\) | 0.737119 | + | 0.425576i | 0.0959647 | + | 0.0554053i | 0.547214 | − | 0.836993i | \(-0.315688\pi\) |
−0.451250 | + | 0.892398i | \(0.649022\pi\) | |||||||
\(60\) | 3.45337 | + | 1.99380i | 0.445828 | + | 0.257399i | ||||
\(61\) | −3.38953 | − | 5.87083i | −0.433984 | − | 0.751683i | 0.563228 | − | 0.826302i | \(-0.309559\pi\) |
−0.997212 | + | 0.0746187i | \(0.976226\pi\) | |||||||
\(62\) | 2.03015 | 0.257829 | ||||||||
\(63\) | 0.0467536 | − | 2.29835i | 0.00589039 | − | 0.289565i | ||||
\(64\) | 5.46933 | 0.683667 | ||||||||
\(65\) | −4.58518 | − | 2.47868i | −0.568721 | − | 0.307442i | ||||
\(66\) | 1.44476 | − | 2.50240i | 0.177838 | − | 0.308025i | ||||
\(67\) | −0.854859 | − | 0.493553i | −0.104438 | − | 0.0602971i | 0.446871 | − | 0.894598i | \(-0.352538\pi\) |
−0.551309 | + | 0.834301i | \(0.685871\pi\) | |||||||
\(68\) | 4.08961 | + | 7.08341i | 0.495938 | + | 0.858990i | ||||
\(69\) | 0.788550 | 0.0949302 | ||||||||
\(70\) | −1.11364 | + | 0.613105i | −0.133105 | + | 0.0732801i | ||||
\(71\) | − | 3.76223i | − | 0.446494i | −0.974762 | − | 0.223247i | \(-0.928334\pi\) | ||
0.974762 | − | 0.223247i | \(-0.0716657\pi\) | |||||||
\(72\) | 0.972777 | − | 0.561633i | 0.114643 | − | 0.0661891i | ||||
\(73\) | 7.91131 | + | 4.56760i | 0.925949 | + | 0.534597i | 0.885528 | − | 0.464586i | \(-0.153797\pi\) |
0.0404208 | + | 0.999183i | \(0.487130\pi\) | |||||||
\(74\) | −1.33429 | + | 2.31106i | −0.155108 | + | 0.268655i | ||||
\(75\) | −2.12419 | − | 3.67921i | −0.245281 | − | 0.424839i | ||||
\(76\) | − | 3.69881i | − | 0.424283i | ||||||
\(77\) | −7.59879 | − | 13.8024i | −0.865963 | − | 1.57293i | ||||
\(78\) | 1.48999 | − | 0.916825i | 0.168708 | − | 0.103810i | ||||
\(79\) | 0.0655625 | + | 0.113558i | 0.00737636 | + | 0.0127762i | 0.869690 | − | 0.493598i | \(-0.164319\pi\) |
−0.862314 | + | 0.506375i | \(0.830985\pi\) | |||||||
\(80\) | 4.19322 | + | 2.42096i | 0.468816 | + | 0.270671i | ||||
\(81\) | 2.81922 | − | 4.88303i | 0.313246 | − | 0.542558i | ||||
\(82\) | −1.25532 | − | 2.17428i | −0.138627 | − | 0.240109i | ||||
\(83\) | − | 2.66812i | − | 0.292865i | −0.989221 | − | 0.146432i | \(-0.953221\pi\) | ||
0.989221 | − | 0.146432i | \(-0.0467791\pi\) | |||||||
\(84\) | −0.148428 | + | 7.29653i | −0.0161948 | + | 0.796117i | ||||
\(85\) | 6.25768i | 0.678741i | ||||||||
\(86\) | 1.22288 | − | 0.706030i | 0.131866 | − | 0.0761331i | ||||
\(87\) | −5.22517 | + | 9.05026i | −0.560197 | + | 0.970290i | ||||
\(88\) | 3.84936 | − | 6.66729i | 0.410344 | − | 0.710736i | ||||
\(89\) | 8.41550 | − | 4.85869i | 0.892042 | − | 0.515021i | 0.0174319 | − | 0.999848i | \(-0.494451\pi\) |
0.874610 | + | 0.484828i | \(0.161118\pi\) | |||||||
\(90\) | 0.417485 | 0.0440068 | ||||||||
\(91\) | −0.0731980 | − | 9.53911i | −0.00767324 | − | 0.999971i | ||||
\(92\) | 1.02065 | 0.106410 | ||||||||
\(93\) | 7.72207 | − | 4.45834i | 0.800742 | − | 0.462308i | ||||
\(94\) | −1.04047 | + | 1.80215i | −0.107317 | + | 0.185878i | ||||
\(95\) | 1.41493 | − | 2.45072i | 0.145168 | − | 0.251439i | ||||
\(96\) | −4.67625 | + | 2.69983i | −0.477267 | + | 0.275550i | ||||
\(97\) | − | 6.58319i | − | 0.668422i | −0.942498 | − | 0.334211i | \(-0.891530\pi\) | ||
0.942498 | − | 0.334211i | \(-0.108470\pi\) | |||||||
\(98\) | −1.96594 | − | 1.24429i | −0.198590 | − | 0.125693i | ||||
\(99\) | 5.17429i | 0.520036i | ||||||||
\(100\) | −2.74943 | − | 4.76215i | −0.274943 | − | 0.476215i | ||||
\(101\) | −0.0354144 | + | 0.0613396i | −0.00352387 | + | 0.00610352i | −0.867782 | − | 0.496945i | \(-0.834455\pi\) |
0.864258 | + | 0.503049i | \(0.167788\pi\) | |||||||
\(102\) | −1.81896 | − | 1.05018i | −0.180104 | − | 0.103983i | ||||
\(103\) | 3.16910 | + | 5.48905i | 0.312261 | + | 0.540852i | 0.978852 | − | 0.204572i | \(-0.0655803\pi\) |
−0.666590 | + | 0.745424i | \(0.732247\pi\) | |||||||
\(104\) | 3.96985 | − | 2.44275i | 0.389276 | − | 0.239531i | ||||
\(105\) | −2.88953 | + | 4.77769i | −0.281989 | + | 0.466255i | ||||
\(106\) | 0.923689i | 0.0897166i | ||||||||
\(107\) | −3.87476 | − | 6.71129i | −0.374588 | − | 0.648805i | 0.615678 | − | 0.787998i | \(-0.288882\pi\) |
−0.990265 | + | 0.139193i | \(0.955549\pi\) | |||||||
\(108\) | 5.33596 | − | 9.24215i | 0.513453 | − | 0.889326i | ||||
\(109\) | −0.0290658 | − | 0.0167811i | −0.00278400 | − | 0.00160734i | 0.498607 | − | 0.866828i | \(-0.333845\pi\) |
−0.501391 | + | 0.865221i | \(0.667178\pi\) | |||||||
\(110\) | 2.47804 | − | 1.43069i | 0.236271 | − | 0.136411i | ||||
\(111\) | 11.7208i | 1.11249i | ||||||||
\(112\) | −0.180227 | + | 8.85975i | −0.0170298 | + | 0.837168i | ||||
\(113\) | −9.19987 | −0.865451 | −0.432725 | − | 0.901526i | \(-0.642448\pi\) | ||||
−0.432725 | + | 0.901526i | \(0.642448\pi\) | |||||||
\(114\) | 0.474911 | + | 0.822571i | 0.0444795 | + | 0.0770408i | ||||
\(115\) | 0.676254 | + | 0.390435i | 0.0630610 | + | 0.0364083i | ||||
\(116\) | −6.76315 | + | 11.7141i | −0.627943 | + | 1.08763i | ||||
\(117\) | −1.48978 | + | 2.75587i | −0.137730 | + | 0.254780i | ||||
\(118\) | −0.282902 | −0.0260432 | ||||||||
\(119\) | −10.0327 | + | 5.52344i | −0.919699 | + | 0.506333i | ||||
\(120\) | −2.72825 | −0.249054 | ||||||||
\(121\) | 12.2320 | + | 21.1864i | 1.11200 | + | 1.92603i | ||||
\(122\) | 1.95132 | + | 1.12660i | 0.176664 | + | 0.101997i | ||||
\(123\) | −9.54971 | − | 5.51353i | −0.861068 | − | 0.497138i | ||||
\(124\) | 9.99499 | − | 5.77061i | 0.897577 | − | 0.518216i | ||||
\(125\) | − | 11.4351i | − | 1.02279i | ||||||
\(126\) | 0.368500 | + | 0.669340i | 0.0328286 | + | 0.0596296i | ||||
\(127\) | −14.3952 | −1.27737 | −0.638683 | − | 0.769470i | \(-0.720520\pi\) | ||||
−0.638683 | + | 0.769470i | \(0.720520\pi\) | |||||||
\(128\) | −7.98085 | + | 4.60775i | −0.705414 | + | 0.407271i | ||||
\(129\) | 3.10098 | − | 5.37105i | 0.273026 | − | 0.472895i | ||||
\(130\) | 1.73175 | − | 0.0485237i | 0.151884 | − | 0.00425581i | ||||
\(131\) | 4.73414 | + | 8.19978i | 0.413624 | + | 0.716418i | 0.995283 | − | 0.0970151i | \(-0.0309295\pi\) |
−0.581659 | + | 0.813433i | \(0.697596\pi\) | |||||||
\(132\) | − | 16.4267i | − | 1.42976i | ||||||
\(133\) | 5.17808 | + | 0.105334i | 0.448996 | + | 0.00913357i | ||||
\(134\) | 0.328090 | 0.0283426 | ||||||||
\(135\) | 7.07090 | − | 4.08238i | 0.608566 | − | 0.351356i | ||||
\(136\) | −4.84635 | − | 2.79804i | −0.415571 | − | 0.239930i | ||||
\(137\) | −14.3814 | − | 8.30313i | −1.22869 | − | 0.709384i | −0.261934 | − | 0.965086i | \(-0.584360\pi\) |
−0.966756 | + | 0.255702i | \(0.917693\pi\) | |||||||
\(138\) | −0.226980 | + | 0.131047i | −0.0193219 | + | 0.0111555i | ||||
\(139\) | 18.4778 | 1.56726 | 0.783632 | − | 0.621225i | \(-0.213365\pi\) | ||||
0.783632 | + | 0.621225i | \(0.213365\pi\) | |||||||
\(140\) | −3.74003 | + | 6.18396i | −0.316090 | + | 0.522640i | ||||
\(141\) | 9.13980i | 0.769710i | ||||||||
\(142\) | 0.625236 | + | 1.08294i | 0.0524687 | + | 0.0908784i | ||||
\(143\) | 0.601400 | + | 21.4632i | 0.0502916 | + | 1.79484i | ||||
\(144\) | 1.45509 | − | 2.52029i | 0.121257 | − | 0.210024i | ||||
\(145\) | −8.96213 | + | 5.17429i | −0.744264 | + | 0.429701i | ||||
\(146\) | −3.03631 | −0.251287 | ||||||||
\(147\) | −10.2104 | − | 0.415577i | −0.842140 | − | 0.0342762i | ||||
\(148\) | 15.1707i | 1.24702i | ||||||||
\(149\) | 2.66805 | − | 1.54040i | 0.218575 | − | 0.126195i | −0.386715 | − | 0.922199i | \(-0.626390\pi\) |
0.605290 | + | 0.796005i | \(0.293057\pi\) | |||||||
\(150\) | 1.22288 | + | 0.706030i | 0.0998477 | + | 0.0576471i | ||||
\(151\) | −2.20737 | − | 1.27442i | −0.179633 | − | 0.103711i | 0.407487 | − | 0.913211i | \(-0.366405\pi\) |
−0.587120 | + | 0.809500i | \(0.699738\pi\) | |||||||
\(152\) | 1.26533 | + | 2.19162i | 0.102632 | + | 0.177764i | ||||
\(153\) | 3.76111 | 0.304068 | ||||||||
\(154\) | 4.48106 | + | 2.71013i | 0.361095 | + | 0.218388i | ||||
\(155\) | 8.82985 | 0.709231 | ||||||||
\(156\) | 4.72958 | − | 8.74901i | 0.378670 | − | 0.700481i | ||||
\(157\) | 4.70452 | − | 8.14847i | 0.375461 | − | 0.650318i | −0.614935 | − | 0.788578i | \(-0.710818\pi\) |
0.990396 | + | 0.138260i | \(0.0441509\pi\) | |||||||
\(158\) | −0.0377438 | − | 0.0217914i | −0.00300273 | − | 0.00173363i | ||||
\(159\) | 2.02848 | + | 3.51344i | 0.160869 | + | 0.278634i | ||||
\(160\) | −5.34708 | −0.422724 | ||||||||
\(161\) | −0.0290658 | + | 1.42884i | −0.00229070 | + | 0.112608i | ||||
\(162\) | 1.87408i | 0.147241i | ||||||||
\(163\) | 0.602023 | − | 0.347578i | 0.0471541 | − | 0.0272244i | −0.476238 | − | 0.879317i | \(-0.658000\pi\) |
0.523392 | + | 0.852092i | \(0.324666\pi\) | |||||||
\(164\) | −12.3606 | − | 7.13638i | −0.965199 | − | 0.557258i | ||||
\(165\) | 6.28380 | − | 10.8839i | 0.489193 | − | 0.847308i | ||||
\(166\) | 0.443409 | + | 0.768007i | 0.0344152 | + | 0.0596089i | ||||
\(167\) | 13.9840i | 1.08211i | 0.840986 | + | 0.541056i | \(0.181975\pi\) | ||||
−0.840986 | + | 0.541056i | \(0.818025\pi\) | |||||||
\(168\) | −2.40814 | − | 4.37412i | −0.185792 | − | 0.337471i | ||||
\(169\) | −5.85938 | + | 11.6046i | −0.450721 | + | 0.892665i | ||||
\(170\) | −1.03995 | − | 1.80125i | −0.0797605 | − | 0.138149i | ||||
\(171\) | −1.47298 | − | 0.850426i | −0.112642 | − | 0.0650337i | ||||
\(172\) | 4.01372 | − | 6.95197i | 0.306043 | − | 0.530083i | ||||
\(173\) | −2.71824 | − | 4.70813i | −0.206664 | − | 0.357952i | 0.743998 | − | 0.668182i | \(-0.232927\pi\) |
−0.950662 | + | 0.310230i | \(0.899594\pi\) | |||||||
\(174\) | − | 3.47344i | − | 0.263321i | ||||||
\(175\) | 6.74497 | − | 3.71339i | 0.509872 | − | 0.280706i | ||||
\(176\) | − | 19.9460i | − | 1.50349i | ||||||
\(177\) | −1.07607 | + | 0.621272i | −0.0808827 | + | 0.0466976i | ||||
\(178\) | −1.61491 | + | 2.79711i | −0.121043 | + | 0.209652i | ||||
\(179\) | 2.67912 | − | 4.64037i | 0.200247 | − | 0.346838i | −0.748361 | − | 0.663292i | \(-0.769159\pi\) |
0.948608 | + | 0.316454i | \(0.102492\pi\) | |||||||
\(180\) | 2.05540 | − | 1.18668i | 0.153200 | − | 0.0884502i | ||||
\(181\) | −7.54016 | −0.560456 | −0.280228 | − | 0.959933i | \(-0.590410\pi\) | ||||
−0.280228 | + | 0.959933i | \(0.590410\pi\) | |||||||
\(182\) | 1.60635 | + | 2.73363i | 0.119071 | + | 0.202630i | ||||
\(183\) | 9.89632 | 0.731557 | ||||||||
\(184\) | −0.604757 | + | 0.349157i | −0.0445833 | + | 0.0257402i | ||||
\(185\) | −5.80331 | + | 10.0516i | −0.426668 | + | 0.739011i | ||||
\(186\) | −1.48184 | + | 2.56663i | −0.108654 | + | 0.188194i | ||||
\(187\) | 22.3245 | − | 12.8891i | 1.63253 | − | 0.942543i | ||||
\(188\) | 11.8300i | 0.862793i | ||||||||
\(189\) | 12.7864 | + | 7.73316i | 0.930074 | + | 0.562504i | ||||
\(190\) | 0.940574i | 0.0682364i | ||||||||
\(191\) | −6.77316 | − | 11.7315i | −0.490089 | − | 0.848859i | 0.509846 | − | 0.860266i | \(-0.329702\pi\) |
−0.999935 | + | 0.0114067i | \(0.996369\pi\) | |||||||
\(192\) | −3.99217 | + | 6.91464i | −0.288110 | + | 0.499021i | ||||
\(193\) | −16.0702 | − | 9.27812i | −1.15676 | − | 0.667853i | −0.206232 | − | 0.978503i | \(-0.566120\pi\) |
−0.950524 | + | 0.310650i | \(0.899453\pi\) | |||||||
\(194\) | 1.09405 | + | 1.89494i | 0.0785479 | + | 0.136049i | ||||
\(195\) | 6.48049 | − | 3.98760i | 0.464077 | − | 0.285558i | ||||
\(196\) | −13.2157 | − | 0.537898i | −0.943982 | − | 0.0384213i | ||||
\(197\) | 2.66812i | 0.190096i | 0.995473 | + | 0.0950480i | \(0.0303004\pi\) | ||||
−0.995473 | + | 0.0950480i | \(0.969700\pi\) | |||||||
\(198\) | −0.859903 | − | 1.48940i | −0.0611106 | − | 0.105847i | ||||
\(199\) | 10.0999 | − | 17.4936i | 0.715965 | − | 1.24009i | −0.246621 | − | 0.969112i | \(-0.579320\pi\) |
0.962586 | − | 0.270976i | \(-0.0873465\pi\) | |||||||
\(200\) | 3.25819 | + | 1.88111i | 0.230389 | + | 0.133015i | ||||
\(201\) | 1.24795 | − | 0.720507i | 0.0880239 | − | 0.0508206i | ||||
\(202\) | − | 0.0235418i | − | 0.00165639i | ||||||
\(203\) | −16.2063 | − | 9.80152i | −1.13746 | − | 0.687932i | ||||
\(204\) | −11.9403 | −0.835990 | ||||||||
\(205\) | −5.45984 | − | 9.45672i | −0.381332 | − | 0.660486i | ||||
\(206\) | −1.82443 | − | 1.05333i | −0.127114 | − | 0.0733891i | ||||
\(207\) | 0.234667 | − | 0.406455i | 0.0163105 | − | 0.0282506i | ||||
\(208\) | 5.74285 | − | 10.6234i | 0.398195 | − | 0.736601i | ||||
\(209\) | −11.6574 | −0.806361 | ||||||||
\(210\) | 0.0377438 | − | 1.85544i | 0.00260457 | − | 0.128038i | ||||
\(211\) | 13.1268 | 0.903683 | 0.451842 | − | 0.892098i | \(-0.350767\pi\) | ||||
0.451842 | + | 0.892098i | \(0.350767\pi\) | |||||||
\(212\) | 2.62555 | + | 4.54758i | 0.180323 | + | 0.312329i | ||||
\(213\) | 4.75642 | + | 2.74612i | 0.325905 | + | 0.188161i | ||||
\(214\) | 2.23067 | + | 1.28788i | 0.152485 | + | 0.0880374i | ||||
\(215\) | 5.31875 | − | 3.07078i | 0.362736 | − | 0.209425i | ||||
\(216\) | 7.30155i | 0.496807i | ||||||||
\(217\) | 7.79382 | + | 14.1566i | 0.529079 | + | 0.961014i | ||||
\(218\) | 0.0111553 | 0.000755530 | ||||||||
\(219\) | −11.5492 | + | 6.66795i | −0.780424 | + | 0.450578i | ||||
\(220\) | 8.13338 | − | 14.0874i | 0.548352 | − | 0.949774i | ||||
\(221\) | 15.6013 | − | 0.437148i | 1.04946 | − | 0.0294058i | ||||
\(222\) | −1.94785 | − | 3.37377i | −0.130731 | − | 0.226433i | ||||
\(223\) | 2.22334i | 0.148886i | 0.997225 | + | 0.0744428i | \(0.0237178\pi\) | ||||
−0.997225 | + | 0.0744428i | \(0.976282\pi\) | |||||||
\(224\) | −4.71969 | − | 8.57281i | −0.315348 | − | 0.572795i | ||||
\(225\) | −2.52858 | −0.168572 | ||||||||
\(226\) | 2.64814 | − | 1.52890i | 0.176152 | − | 0.101701i | ||||
\(227\) | 23.4732 | + | 13.5523i | 1.55797 | + | 0.899495i | 0.997451 | + | 0.0713539i | \(0.0227320\pi\) |
0.560520 | + | 0.828141i | \(0.310601\pi\) | |||||||
\(228\) | 4.67625 | + | 2.69983i | 0.309692 | + | 0.178801i | ||||
\(229\) | −16.4447 | + | 9.49437i | −1.08670 | + | 0.627406i | −0.932696 | − | 0.360665i | \(-0.882550\pi\) |
−0.154003 | + | 0.988070i | \(0.549217\pi\) | |||||||
\(230\) | −0.259542 | −0.0171137 | ||||||||
\(231\) | 22.9962 | + | 0.467795i | 1.51304 | + | 0.0307786i | ||||
\(232\) | − | 9.25447i | − | 0.607586i | ||||||
\(233\) | 10.8700 | + | 18.8274i | 0.712118 | + | 1.23343i | 0.964060 | + | 0.265683i | \(0.0855974\pi\) |
−0.251942 | + | 0.967742i | \(0.581069\pi\) | |||||||
\(234\) | −0.0291646 | − | 1.04085i | −0.00190655 | − | 0.0680424i | ||||
\(235\) | −4.52540 | + | 7.83822i | −0.295205 | + | 0.511309i | ||||
\(236\) | −1.39281 | + | 0.804137i | −0.0906639 | + | 0.0523449i | ||||
\(237\) | −0.191421 | −0.0124342 | ||||||||
\(238\) | 1.96995 | − | 3.25722i | 0.127693 | − | 0.211134i | ||||
\(239\) | − | 19.9695i | − | 1.29172i | −0.763455 | − | 0.645861i | \(-0.776499\pi\) | ||
0.763455 | − | 0.645861i | \(-0.223501\pi\) | |||||||
\(240\) | −6.12142 | + | 3.53420i | −0.395136 | + | 0.228132i | ||||
\(241\) | −2.79768 | − | 1.61524i | −0.180214 | − | 0.104047i | 0.407179 | − | 0.913348i | \(-0.366513\pi\) |
−0.587393 | + | 0.809302i | \(0.699846\pi\) | |||||||
\(242\) | −7.04183 | − | 4.06560i | −0.452666 | − | 0.261347i | ||||
\(243\) | −4.35630 | − | 7.54533i | −0.279456 | − | 0.484033i | ||||
\(244\) | 12.8092 | 0.820025 | ||||||||
\(245\) | −8.55060 | − | 5.41188i | −0.546278 | − | 0.345753i | ||||
\(246\) | 3.66512 | 0.233680 | ||||||||
\(247\) | −6.20884 | − | 3.35641i | −0.395059 | − | 0.213563i | ||||
\(248\) | −3.94816 | + | 6.83841i | −0.250708 | + | 0.434239i | ||||
\(249\) | 3.37319 | + | 1.94751i | 0.213767 | + | 0.123419i | ||||
\(250\) | 1.90038 | + | 3.29155i | 0.120190 | + | 0.208176i | ||||
\(251\) | −12.4916 | −0.788466 | −0.394233 | − | 0.919011i | \(-0.628990\pi\) | ||||
−0.394233 | + | 0.919011i | \(0.628990\pi\) | |||||||
\(252\) | 3.71680 | + | 2.24790i | 0.234136 | + | 0.141605i | ||||
\(253\) | − | 3.21675i | − | 0.202236i | ||||||
\(254\) | 4.14359 | − | 2.39230i | 0.259992 | − | 0.150106i | ||||
\(255\) | −7.91131 | − | 4.56760i | −0.495425 | − | 0.286034i | ||||
\(256\) | −3.93783 | + | 6.82052i | −0.246114 | + | 0.426283i | ||||
\(257\) | 2.91379 | + | 5.04682i | 0.181757 | + | 0.314812i | 0.942479 | − | 0.334266i | \(-0.108488\pi\) |
−0.760722 | + | 0.649078i | \(0.775155\pi\) | |||||||
\(258\) | 2.06138i | 0.128336i | ||||||||
\(259\) | −21.2378 | − | 0.432025i | −1.31966 | − | 0.0268447i | ||||
\(260\) | 8.38796 | − | 5.16132i | 0.520199 | − | 0.320091i | ||||
\(261\) | 3.10995 | + | 5.38659i | 0.192501 | + | 0.333422i | ||||
\(262\) | −2.72540 | − | 1.57351i | −0.168376 | − | 0.0972119i | ||||
\(263\) | −8.75736 | + | 15.1682i | −0.540002 | + | 0.935311i | 0.458901 | + | 0.888487i | \(0.348243\pi\) |
−0.998903 | + | 0.0468234i | \(0.985090\pi\) | |||||||
\(264\) | 5.61945 | + | 9.73316i | 0.345853 | + | 0.599035i | ||||
\(265\) | 4.01746i | 0.246791i | ||||||||
\(266\) | −1.50799 | + | 0.830213i | −0.0924609 | + | 0.0509036i | ||||
\(267\) | 14.1858i | 0.868157i | ||||||||
\(268\) | 1.61528 | − | 0.932581i | 0.0986688 | − | 0.0569665i | ||||
\(269\) | −11.1644 | + | 19.3372i | −0.680703 | + | 1.17901i | 0.294064 | + | 0.955786i | \(0.404992\pi\) |
−0.974767 | + | 0.223226i | \(0.928341\pi\) | |||||||
\(270\) | −1.35688 | + | 2.35019i | −0.0825773 | + | 0.143028i | ||||
\(271\) | −22.8366 | + | 13.1847i | −1.38723 | + | 0.800916i | −0.993002 | − | 0.118098i | \(-0.962320\pi\) |
−0.394225 | + | 0.919014i | \(0.628987\pi\) | |||||||
\(272\) | −14.4984 | −0.879097 | ||||||||
\(273\) | 12.1133 | + | 6.87023i | 0.733131 | + | 0.415805i | ||||
\(274\) | 5.51951 | 0.333446 | ||||||||
\(275\) | −15.0087 | + | 8.66529i | −0.905060 | + | 0.522536i | ||||
\(276\) | −0.744993 | + | 1.29037i | −0.0448433 | + | 0.0776709i | ||||
\(277\) | −4.68809 | + | 8.12001i | −0.281680 | + | 0.487884i | −0.971799 | − | 0.235812i | \(-0.924225\pi\) |
0.690119 | + | 0.723696i | \(0.257558\pi\) | |||||||
\(278\) | −5.31875 | + | 3.07078i | −0.318997 | + | 0.184173i | ||||
\(279\) | − | 5.30709i | − | 0.317727i | ||||||
\(280\) | 0.100563 | − | 4.94356i | 0.00600978 | − | 0.295434i | ||||
\(281\) | − | 17.7754i | − | 1.06039i | −0.847876 | − | 0.530195i | \(-0.822119\pi\) | ||
0.847876 | − | 0.530195i | \(-0.177881\pi\) | |||||||
\(282\) | −1.51892 | − | 2.63085i | −0.0904505 | − | 0.156665i | ||||
\(283\) | −4.80331 | + | 8.31958i | −0.285527 | + | 0.494548i | −0.972737 | − | 0.231911i | \(-0.925502\pi\) |
0.687210 | + | 0.726459i | \(0.258835\pi\) | |||||||
\(284\) | 6.15643 | + | 3.55442i | 0.365317 | + | 0.210916i | ||||
\(285\) | 2.06556 | + | 3.57766i | 0.122353 | + | 0.211922i | ||||
\(286\) | −3.74003 | − | 6.07814i | −0.221153 | − | 0.359408i | ||||
\(287\) | 10.3424 | − | 17.1007i | 0.610494 | − | 1.00942i | ||||
\(288\) | 3.21380i | 0.189375i | ||||||||
\(289\) | −0.868875 | − | 1.50494i | −0.0511103 | − | 0.0885256i | ||||
\(290\) | 1.71981 | − | 2.97879i | 0.100990 | − | 0.174921i | ||||
\(291\) | 8.32284 | + | 4.80519i | 0.487894 | + | 0.281685i | ||||
\(292\) | −14.9486 | + | 8.63060i | −0.874803 | + | 0.505067i | ||||
\(293\) | − | 11.6338i | − | 0.679654i | −0.940488 | − | 0.339827i | \(-0.889631\pi\) | ||
0.940488 | − | 0.339827i | \(-0.110369\pi\) | |||||||
\(294\) | 3.00808 | − | 1.57722i | 0.175435 | − | 0.0919855i | ||||
\(295\) | −1.23044 | −0.0716392 | ||||||||
\(296\) | −5.18976 | − | 8.98892i | −0.301648 | − | 0.522470i | ||||
\(297\) | −29.1282 | − | 16.8172i | −1.69019 | − | 0.975830i | ||||
\(298\) | −0.511991 | + | 0.886795i | −0.0296588 | + | 0.0513706i | ||||
\(299\) | 0.926168 | − | 1.71327i | 0.0535617 | − | 0.0990810i | ||||
\(300\) | 8.02744 | 0.463464 | ||||||||
\(301\) | 9.61796 | + | 5.81690i | 0.554370 | + | 0.335281i | ||||
\(302\) | 0.847174 | 0.0487494 | ||||||||
\(303\) | −0.0516993 | − | 0.0895459i | −0.00297005 | − | 0.00514427i | ||||
\(304\) | 5.67809 | + | 3.27825i | 0.325661 | + | 0.188020i | ||||
\(305\) | 8.48700 | + | 4.89997i | 0.485964 | + | 0.280572i | ||||
\(306\) | −1.08262 | + | 0.625050i | −0.0618892 | + | 0.0357317i | ||||
\(307\) | 13.8280i | 0.789204i | 0.918852 | + | 0.394602i | \(0.129118\pi\) | ||||
−0.918852 | + | 0.394602i | \(0.870882\pi\) | |||||||
\(308\) | 29.7650 | + | 0.605485i | 1.69602 | + | 0.0345007i | ||||
\(309\) | −9.25275 | −0.526371 | ||||||||
\(310\) | −2.54163 | + | 1.46741i | −0.144355 | + | 0.0833435i | ||||
\(311\) | 15.3572 | − | 26.5994i | 0.870827 | − | 1.50832i | 0.00968369 | − | 0.999953i | \(-0.496918\pi\) |
0.861143 | − | 0.508363i | \(-0.169749\pi\) | |||||||
\(312\) | 0.190590 | + | 6.80192i | 0.0107900 | + | 0.385083i | ||||
\(313\) | −5.54334 | − | 9.60135i | −0.313328 | − | 0.542701i | 0.665752 | − | 0.746173i | \(-0.268111\pi\) |
−0.979081 | + | 0.203472i | \(0.934777\pi\) | |||||||
\(314\) | 3.12733i | 0.176486i | ||||||||
\(315\) | 1.60274 | + | 2.91120i | 0.0903042 | + | 0.164028i | ||||
\(316\) | −0.247764 | −0.0139378 | ||||||||
\(317\) | 20.6836 | − | 11.9417i | 1.16171 | − | 0.670712i | 0.209994 | − | 0.977703i | \(-0.432656\pi\) |
0.951712 | + | 0.306991i | \(0.0993222\pi\) | |||||||
\(318\) | −1.16778 | − | 0.674218i | −0.0654858 | − | 0.0378083i | ||||
\(319\) | 36.9190 | + | 21.3152i | 2.06707 | + | 1.19342i | ||||
\(320\) | −6.84731 | + | 3.95329i | −0.382776 | + | 0.220996i | ||||
\(321\) | 11.3130 | 0.631433 | ||||||||
\(322\) | −0.229089 | − | 0.416116i | −0.0127666 | − | 0.0231892i | ||||
\(323\) | 8.47360i | 0.471484i | ||||||||
\(324\) | 5.32698 | + | 9.22661i | 0.295944 | + | 0.512589i | ||||
\(325\) | −10.4887 | + | 0.293893i | −0.581807 | + | 0.0163023i | ||||
\(326\) | −0.115526 | + | 0.200098i | −0.00639842 | + | 0.0110824i | ||||
\(327\) | 0.0424313 | − | 0.0244977i | 0.00234646 | − | 0.00135473i | ||||
\(328\) | 9.76519 | 0.539192 | ||||||||
\(329\) | −16.5612 | − | 0.336891i | −0.913048 | − | 0.0185734i | ||||
\(330\) | 4.17716i | 0.229945i | ||||||||
\(331\) | 15.8690 | − | 9.16200i | 0.872241 | − | 0.503589i | 0.00414903 | − | 0.999991i | \(-0.498679\pi\) |
0.868092 | + | 0.496403i | \(0.165346\pi\) | |||||||
\(332\) | 4.36606 | + | 2.52075i | 0.239619 | + | 0.138344i | ||||
\(333\) | 6.04142 | + | 3.48802i | 0.331068 | + | 0.191142i | ||||
\(334\) | −2.32396 | − | 4.02522i | −0.127162 | − | 0.220250i | ||||
\(335\) | 1.42698 | 0.0779643 | ||||||||
\(336\) | −11.0694 | − | 6.69475i | −0.603888 | − | 0.365229i | ||||
\(337\) | 7.21762 | 0.393169 | 0.196584 | − | 0.980487i | \(-0.437015\pi\) | ||||
0.196584 | + | 0.980487i | \(0.437015\pi\) | |||||||
\(338\) | −0.241953 | − | 4.31410i | −0.0131605 | − | 0.234656i | ||||
\(339\) | 6.71516 | − | 11.6310i | 0.364717 | − | 0.631709i | ||||
\(340\) | −10.2399 | − | 5.91203i | −0.555338 | − | 0.320625i | ||||
\(341\) | −18.1870 | − | 31.5009i | −0.984884 | − | 1.70587i | ||||
\(342\) | 0.565321 | 0.0305691 | ||||||||
\(343\) | 1.12937 | − | 18.4858i | 0.0609804 | − | 0.998139i | ||||
\(344\) | 5.49224i | 0.296122i | ||||||||
\(345\) | −0.987221 | + | 0.569972i | −0.0531502 | + | 0.0306863i | ||||
\(346\) | 1.56487 | + | 0.903476i | 0.0841277 | + | 0.0485712i | ||||
\(347\) | 10.5391 | − | 18.2543i | 0.565770 | − | 0.979942i | −0.431208 | − | 0.902253i | \(-0.641912\pi\) |
0.996978 | − | 0.0776892i | \(-0.0247542\pi\) | |||||||
\(348\) | −9.87310 | − | 17.1007i | −0.529254 | − | 0.916694i | ||||
\(349\) | − | 30.7629i | − | 1.64670i | −0.567534 | − | 0.823350i | \(-0.692102\pi\) | ||
0.567534 | − | 0.823350i | \(-0.307898\pi\) | |||||||
\(350\) | −1.32439 | + | 2.18982i | −0.0707917 | + | 0.117051i | ||||
\(351\) | −10.6719 | − | 17.3435i | −0.569624 | − | 0.925730i | ||||
\(352\) | 11.0135 | + | 19.0760i | 0.587022 | + | 1.01675i | ||||
\(353\) | 5.30157 | + | 3.06086i | 0.282174 | + | 0.162913i | 0.634407 | − | 0.772999i | \(-0.281244\pi\) |
−0.352233 | + | 0.935912i | \(0.614578\pi\) | |||||||
\(354\) | 0.206495 | − | 0.357660i | 0.0109751 | − | 0.0190094i | ||||
\(355\) | 2.71938 | + | 4.71010i | 0.144330 | + | 0.249986i | ||||
\(356\) | 18.3613i | 0.973145i | ||||||||
\(357\) | 0.340033 | − | 16.7156i | 0.0179964 | − | 0.884684i | ||||
\(358\) | 1.78095i | 0.0941259i | ||||||||
\(359\) | −16.8257 | + | 9.71433i | −0.888028 | + | 0.512703i | −0.873297 | − | 0.487189i | \(-0.838022\pi\) |
−0.0147308 | + | 0.999891i | \(0.504689\pi\) | |||||||
\(360\) | −0.811909 | + | 1.40627i | −0.0427914 | + | 0.0741168i | ||||
\(361\) | −7.58403 | + | 13.1359i | −0.399160 | + | 0.691365i | ||||
\(362\) | 2.17040 | − | 1.25308i | 0.114074 | − | 0.0658605i | ||||
\(363\) | −35.7133 | −1.87446 | ||||||||
\(364\) | 15.6787 | + | 8.89242i | 0.821790 | + | 0.466090i | ||||
\(365\) | −13.2060 | −0.691235 | ||||||||
\(366\) | −2.84861 | + | 1.64465i | −0.148899 | + | 0.0859670i | ||||
\(367\) | 2.70234 | − | 4.68058i | 0.141061 | − | 0.244324i | −0.786836 | − | 0.617163i | \(-0.788282\pi\) |
0.927896 | + | 0.372838i | \(0.121615\pi\) | |||||||
\(368\) | −0.904601 | + | 1.56681i | −0.0471556 | + | 0.0816758i | ||||
\(369\) | −5.68385 | + | 3.28158i | −0.295890 | + | 0.170832i | ||||
\(370\) | − | 3.85776i | − | 0.200555i | ||||||
\(371\) | −6.44106 | + | 3.54608i | −0.334403 | + | 0.184103i | ||||
\(372\) | 16.8483i | 0.873544i | ||||||||
\(373\) | −8.12533 | − | 14.0735i | −0.420714 | − | 0.728698i | 0.575296 | − | 0.817946i | \(-0.304887\pi\) |
−0.996009 | + | 0.0892478i | \(0.971554\pi\) | |||||||
\(374\) | −4.28401 | + | 7.42013i | −0.221521 | + | 0.383686i | ||||
\(375\) | 14.4569 | + | 8.34671i | 0.746553 | + | 0.431022i | ||||
\(376\) | −4.04695 | − | 7.00952i | −0.208706 | − | 0.361489i | ||||
\(377\) | 13.5263 | + | 21.9824i | 0.696640 | + | 1.13215i | ||||
\(378\) | −4.96566 | − | 0.101013i | −0.255406 | − | 0.00519553i | ||||
\(379\) | − | 25.1730i | − | 1.29305i | −0.762893 | − | 0.646525i | \(-0.776222\pi\) | ||
0.762893 | − | 0.646525i | \(-0.223778\pi\) | |||||||
\(380\) | 2.67354 | + | 4.63071i | 0.137150 | + | 0.237550i | ||||
\(381\) | 10.5073 | − | 18.1992i | 0.538306 | − | 0.932373i | ||||
\(382\) | 3.89925 | + | 2.25123i | 0.199503 | + | 0.115183i | ||||
\(383\) | −3.30335 | + | 1.90719i | −0.168793 | + | 0.0974529i | −0.582017 | − | 0.813177i | \(-0.697736\pi\) |
0.413223 | + | 0.910630i | \(0.364403\pi\) | |||||||
\(384\) | − | 13.4531i | − | 0.686527i | ||||||
\(385\) | 19.4898 | + | 11.7873i | 0.993291 | + | 0.600738i | ||||
\(386\) | 6.16764 | 0.313924 | ||||||||
\(387\) | −1.84566 | − | 3.19677i | −0.0938201 | − | 0.162501i | ||||
\(388\) | 10.7726 | + | 6.21956i | 0.546895 | + | 0.315750i | ||||
\(389\) | −1.43548 | + | 2.48632i | −0.0727817 | + | 0.126062i | −0.900119 | − | 0.435643i | \(-0.856521\pi\) |
0.827338 | + | 0.561705i | \(0.189854\pi\) | |||||||
\(390\) | −1.20269 | + | 2.22479i | −0.0609005 | + | 0.112657i | ||||
\(391\) | −2.33821 | −0.118248 | ||||||||
\(392\) | 8.01461 | − | 4.20228i | 0.404799 | − | 0.212247i | ||||
\(393\) | −13.8222 | −0.697236 | ||||||||
\(394\) | −0.443409 | − | 0.768007i | −0.0223386 | − | 0.0386917i | ||||
\(395\) | −0.164161 | − | 0.0947786i | −0.00825986 | − | 0.00476883i | ||||
\(396\) | −8.46709 | − | 4.88848i | −0.425487 | − | 0.245655i | ||||
\(397\) | −16.5570 | + | 9.55919i | −0.830972 | + | 0.479762i | −0.854185 | − | 0.519968i | \(-0.825944\pi\) |
0.0232131 | + | 0.999731i | \(0.492610\pi\) | |||||||
\(398\) | 6.71394i | 0.336539i | ||||||||
\(399\) | −3.91274 | + | 6.46953i | −0.195882 | + | 0.323882i | ||||
\(400\) | 9.74725 | 0.487362 | ||||||||
\(401\) | 2.59655 | − | 1.49912i | 0.129666 | − | 0.0748625i | −0.433764 | − | 0.901026i | \(-0.642815\pi\) |
0.563430 | + | 0.826164i | \(0.309482\pi\) | |||||||
\(402\) | −0.239479 | + | 0.414789i | −0.0119441 | + | 0.0206878i | ||||
\(403\) | −0.616835 | − | 22.0141i | −0.0307267 | − | 1.09660i | ||||
\(404\) | −0.0669165 | − | 0.115903i | −0.00332922 | − | 0.00576638i | ||||
\(405\) | 8.15104i | 0.405028i | ||||||||
\(406\) | 6.29382 | + | 0.128030i | 0.312357 | + | 0.00635403i | ||||
\(407\) | 47.8129 | 2.37000 | ||||||||
\(408\) | 7.07489 | − | 4.08469i | 0.350259 | − | 0.202222i | ||||
\(409\) | −29.5146 | − | 17.0403i | −1.45940 | − | 0.842587i | −0.460422 | − | 0.887700i | \(-0.652302\pi\) |
−0.998982 | + | 0.0451127i | \(0.985635\pi\) | |||||||
\(410\) | 3.14318 | + | 1.81472i | 0.155231 | + | 0.0896224i | ||||
\(411\) | 20.9946 | − | 12.1212i | 1.03559 | − | 0.597896i | ||||
\(412\) | −11.9762 | −0.590026 | ||||||||
\(413\) | −1.08607 | − | 1.97273i | −0.0534421 | − | 0.0970717i | ||||
\(414\) | 0.155995i | 0.00766674i | ||||||||
\(415\) | 1.92855 | + | 3.34034i | 0.0946687 | + | 0.163971i | ||||
\(416\) | 0.373536 | + | 13.3310i | 0.0183141 | + | 0.653607i | ||||
\(417\) | −13.4873 | + | 23.3606i | −0.660475 | + | 1.14398i | ||||
\(418\) | 3.35554 | − | 1.93732i | 0.164125 | − | 0.0947574i | ||||
\(419\) | 34.7759 | 1.69891 | 0.849457 | − | 0.527657i | \(-0.176929\pi\) | ||||
0.849457 | + | 0.527657i | \(0.176929\pi\) | |||||||
\(420\) | −5.08819 | − | 9.24215i | −0.248278 | − | 0.450971i | ||||
\(421\) | 24.1400i | 1.17651i | 0.808674 | + | 0.588257i | \(0.200186\pi\) | ||||
−0.808674 | + | 0.588257i | \(0.799814\pi\) | |||||||
\(422\) | −3.77848 | + | 2.18151i | −0.183933 | + | 0.106194i | ||||
\(423\) | 4.71108 | + | 2.71994i | 0.229060 | + | 0.132248i | ||||
\(424\) | −3.11138 | − | 1.79636i | −0.151102 | − | 0.0872388i | ||||
\(425\) | 6.29866 | + | 10.9096i | 0.305530 | + | 0.529193i | ||||
\(426\) | −1.82549 | −0.0884451 | ||||||||
\(427\) | −0.364776 | + | 17.9320i | −0.0176528 | + | 0.867789i | ||||
\(428\) | 14.6429 | 0.707793 | ||||||||
\(429\) | −27.5740 | − | 14.9061i | −1.33128 | − | 0.719672i | ||||
\(430\) | −1.02065 | + | 1.76782i | −0.0492202 | + | 0.0852519i | ||||
\(431\) | −4.12641 | − | 2.38238i | −0.198762 | − | 0.114755i | 0.397316 | − | 0.917682i | \(-0.369942\pi\) |
−0.596078 | + | 0.802927i | \(0.703275\pi\) | |||||||
\(432\) | 9.45848 | + | 16.3826i | 0.455071 | + | 0.788207i | ||||
\(433\) | −22.0231 | −1.05836 | −0.529181 | − | 0.848509i | \(-0.677501\pi\) | ||||
−0.529181 | + | 0.848509i | \(0.677501\pi\) | |||||||
\(434\) | −4.59607 | − | 2.77968i | −0.220618 | − | 0.133429i | ||||
\(435\) | − | 15.1072i | − | 0.724337i | ||||||
\(436\) | 0.0549206 | − | 0.0317084i | 0.00263022 | − | 0.00151856i | ||||
\(437\) | 0.915724 | + | 0.528693i | 0.0438050 | + | 0.0252908i | ||||
\(438\) | 2.21626 | − | 3.83868i | 0.105897 | − | 0.183419i | ||||
\(439\) | 1.71620 | + | 2.97254i | 0.0819097 | + | 0.141872i | 0.904070 | − | 0.427384i | \(-0.140565\pi\) |
−0.822161 | + | 0.569256i | \(0.807231\pi\) | |||||||
\(440\) | 11.1294i | 0.530576i | ||||||||
\(441\) | −3.25275 | + | 5.13924i | −0.154893 | + | 0.244726i | ||||
\(442\) | −4.41811 | + | 2.71857i | −0.210148 | + | 0.129309i | ||||
\(443\) | 4.35297 | + | 7.53957i | 0.206816 | + | 0.358216i | 0.950710 | − | 0.310082i | \(-0.100357\pi\) |
−0.743894 | + | 0.668298i | \(0.767023\pi\) | |||||||
\(444\) | −19.1796 | − | 11.0733i | −0.910223 | − | 0.525518i | ||||
\(445\) | −7.02383 | + | 12.1656i | −0.332962 | + | 0.576706i | ||||
\(446\) | −0.369491 | − | 0.639977i | −0.0174959 | − | 0.0303038i | ||||
\(447\) | 4.49747i | 0.212723i | ||||||||
\(448\) | −12.3821 | − | 7.48862i | −0.584998 | − | 0.353804i | ||||
\(449\) | − | 17.6120i | − | 0.831159i | −0.909557 | − | 0.415580i | \(-0.863579\pi\) | ||
0.909557 | − | 0.415580i | \(-0.136421\pi\) | |||||||
\(450\) | 0.727841 | − | 0.420219i | 0.0343107 | − | 0.0198093i | ||||
\(451\) | −22.4915 | + | 38.9564i | −1.05908 | + | 1.83439i | ||||
\(452\) | 8.69170 | − | 15.0545i | 0.408823 | − | 0.708102i | ||||
\(453\) | 3.22240 | − | 1.86045i | 0.151401 | − | 0.0874116i | ||||
\(454\) | −9.00887 | −0.422807 | ||||||||
\(455\) | 6.98661 | + | 11.8895i | 0.327537 | + | 0.557390i | ||||
\(456\) | −3.69436 | −0.173004 | ||||||||
\(457\) | −7.85717 | + | 4.53634i | −0.367543 | + | 0.212201i | −0.672384 | − | 0.740202i | \(-0.734730\pi\) |
0.304842 | + | 0.952403i | \(0.401396\pi\) | |||||||
\(458\) | 3.15570 | − | 5.46583i | 0.147456 | − | 0.255401i | ||||
\(459\) | −12.2241 | + | 21.1728i | −0.570573 | + | 0.988262i | ||||
\(460\) | −1.27780 | + | 0.737738i | −0.0595777 | + | 0.0343972i | ||||
\(461\) | 6.58319i | 0.306610i | 0.988179 | + | 0.153305i | \(0.0489917\pi\) | ||||
−0.988179 | + | 0.153305i | \(0.951008\pi\) | |||||||
\(462\) | −6.69711 | + | 3.68704i | −0.311578 | + | 0.171537i | ||||
\(463\) | − | 3.47344i | − | 0.161424i | −0.996737 | − | 0.0807121i | \(-0.974281\pi\) | ||
0.996737 | − | 0.0807121i | \(-0.0257194\pi\) | |||||||
\(464\) | −11.9883 | − | 20.7644i | −0.556544 | − | 0.963962i | ||||
\(465\) | −6.44507 | + | 11.1632i | −0.298883 | + | 0.517681i | ||||
\(466\) | −6.25777 | − | 3.61293i | −0.289886 | − | 0.167366i | ||||
\(467\) | 14.8927 | + | 25.7949i | 0.689152 | + | 1.19365i | 0.972112 | + | 0.234515i | \(0.0753502\pi\) |
−0.282960 | + | 0.959132i | \(0.591316\pi\) | |||||||
\(468\) | −3.10215 | − | 5.04149i | −0.143397 | − | 0.233043i | ||||
\(469\) | 1.25955 | + | 2.28783i | 0.0581606 | + | 0.105642i | ||||
\(470\) | − | 3.00826i | − | 0.138761i | ||||||
\(471\) | 6.86783 | + | 11.8954i | 0.316453 | + | 0.548113i | ||||
\(472\) | 0.550177 | − | 0.952935i | 0.0253240 | − | 0.0438624i | ||||
\(473\) | −21.9103 | − | 12.6499i | −1.00744 | − | 0.581643i | ||||
\(474\) | 0.0550998 | − | 0.0318119i | 0.00253082 | − | 0.00146117i | ||||
\(475\) | − | 5.69677i | − | 0.261386i | ||||||
\(476\) | 0.440118 | − | 21.6357i | 0.0201728 | − | 0.991671i | ||||
\(477\) | 2.41465 | 0.110559 | ||||||||
\(478\) | 3.31869 | + | 5.74814i | 0.151793 | + | 0.262914i | ||||
\(479\) | 30.4715 | + | 17.5927i | 1.39228 | + | 0.803833i | 0.993567 | − | 0.113243i | \(-0.0361240\pi\) |
0.398712 | + | 0.917076i | \(0.369457\pi\) | |||||||
\(480\) | 3.90294 | − | 6.76008i | 0.178144 | − | 0.308554i | ||||
\(481\) | 25.4655 | + | 13.7663i | 1.16113 | + | 0.627688i | ||||
\(482\) | 1.07373 | 0.0489072 | ||||||||
\(483\) | −1.78520 | − | 1.07968i | −0.0812296 | − | 0.0491273i | ||||
\(484\) | −46.2252 | −2.10115 | ||||||||
\(485\) | 4.75840 | + | 8.24179i | 0.216068 | + | 0.374241i | ||||
\(486\) | 2.50788 | + | 1.44793i | 0.113760 | + | 0.0656792i | ||||
\(487\) | 1.56018 | + | 0.900769i | 0.0706984 | + | 0.0408178i | 0.534933 | − | 0.844895i | \(-0.320337\pi\) |
−0.464234 | + | 0.885713i | \(0.653670\pi\) | |||||||
\(488\) | −7.58971 | + | 4.38192i | −0.343570 | + | 0.198360i | ||||
\(489\) | 1.01482i | 0.0458916i | ||||||||
\(490\) | 3.36064 | + | 0.136782i | 0.151818 | + | 0.00617920i | ||||
\(491\) | 8.19322 | 0.369755 | 0.184877 | − | 0.982762i | \(-0.440811\pi\) | ||||
0.184877 | + | 0.982762i | \(0.440811\pi\) | |||||||
\(492\) | 18.0444 | − | 10.4180i | 0.813506 | − | 0.469678i | ||||
\(493\) | 15.4937 | − | 26.8358i | 0.697800 | − | 1.20863i | ||||
\(494\) | 2.34498 | − | 0.0657065i | 0.105506 | − | 0.00295627i | ||||
\(495\) | −3.74003 | − | 6.47792i | −0.168102 | − | 0.291161i | ||||
\(496\) | 20.4579i | 0.918587i | ||||||||
\(497\) | −5.15125 | + | 8.51734i | −0.231065 | + | 0.382055i | ||||
\(498\) | −1.29461 | −0.0580129 | ||||||||
\(499\) | −31.6242 | + | 18.2582i | −1.41569 | + | 0.817350i | −0.995917 | − | 0.0902781i | \(-0.971224\pi\) |
−0.419775 | + | 0.907628i | \(0.637891\pi\) | |||||||
\(500\) | 18.7122 | + | 10.8035i | 0.836834 | + | 0.483147i | ||||
\(501\) | −17.6793 | − | 10.2072i | −0.789854 | − | 0.456022i | ||||
\(502\) | 3.59566 | − | 2.07596i | 0.160482 | − | 0.0926545i | ||||
\(503\) | −3.02972 | −0.135089 | −0.0675443 | − | 0.997716i | \(-0.521516\pi\) | ||||
−0.0675443 | + | 0.997716i | \(0.521516\pi\) | |||||||
\(504\) | −2.97127 | − | 0.0604422i | −0.132351 | − | 0.00269231i | ||||
\(505\) | − | 0.102392i | − | 0.00455637i | ||||||
\(506\) | 0.534585 | + | 0.925928i | 0.0237652 | + | 0.0411625i | ||||
\(507\) | −10.3944 | − | 15.8782i | −0.461630 | − | 0.705176i | ||||
\(508\) | 13.6000 | − | 23.5559i | 0.603404 | − | 1.04513i | ||||
\(509\) | 25.4133 | − | 14.6724i | 1.12642 | − | 0.650341i | 0.183391 | − | 0.983040i | \(-0.441293\pi\) |
0.943033 | + | 0.332699i | \(0.107959\pi\) | |||||||
\(510\) | 3.03631 | 0.134450 | ||||||||
\(511\) | −11.6565 | − | 21.1728i | −0.515654 | − | 0.936630i | ||||
\(512\) | − | 21.0487i | − | 0.930229i | ||||||
\(513\) | 9.57479 | − | 5.52800i | 0.422737 | − | 0.244067i | ||||
\(514\) | −1.67744 | − | 0.968471i | −0.0739887 | − | 0.0427174i | ||||
\(515\) | −7.93509 | − | 4.58133i | −0.349662 | − | 0.201877i | ||||
\(516\) | 5.85938 | + | 10.1487i | 0.257945 | + | 0.446773i | ||||
\(517\) | 37.2843 | 1.63976 | ||||||||
\(518\) | 6.18502 | − | 3.40511i | 0.271754 | − | 0.149612i | ||||
\(519\) | 7.93637 | 0.348368 | ||||||||
\(520\) | −3.20439 | + | 5.92764i | −0.140522 | + | 0.259944i | ||||
\(521\) | 14.8419 | − | 25.7069i | 0.650236 | − | 1.12624i | −0.332830 | − | 0.942987i | \(-0.608003\pi\) |
0.983066 | − | 0.183254i | \(-0.0586632\pi\) | |||||||
\(522\) | −1.79037 | − | 1.03367i | −0.0783624 | − | 0.0452425i | ||||
\(523\) | −10.2864 | − | 17.8165i | −0.449791 | − | 0.779062i | 0.548581 | − | 0.836098i | \(-0.315168\pi\) |
−0.998372 | + | 0.0570361i | \(0.981835\pi\) | |||||||
\(524\) | −17.8906 | −0.781553 | ||||||||
\(525\) | −0.228603 | + | 11.2379i | −0.00997704 | + | 0.490460i | ||||
\(526\) | − | 5.82146i | − | 0.253828i | ||||||
\(527\) | −22.8975 | + | 13.2199i | −0.997431 | + | 0.575867i | ||||
\(528\) | 25.2168 | + | 14.5590i | 1.09742 | + | 0.633597i | ||||
\(529\) | 11.3541 | − | 19.6659i | 0.493657 | − | 0.855039i | ||||
\(530\) | −0.667652 | − | 1.15641i | −0.0290010 | − | 0.0502311i | ||||
\(531\) | 0.739544i | 0.0320935i | ||||||||
\(532\) | −5.06442 | + | 8.37377i | −0.219571 | + | 0.363049i | ||||
\(533\) | −23.1955 | + | 14.2728i | −1.00471 | + | 0.618222i | ||||
\(534\) | −2.35751 | − | 4.08332i | −0.102019 | − | 0.176703i | ||||
\(535\) | 9.70198 | + | 5.60144i | 0.419453 | + | 0.242171i | ||||
\(536\) | −0.638057 | + | 1.10515i | −0.0275599 | + | 0.0477351i | ||||
\(537\) | 3.91108 | + | 6.77419i | 0.168775 | + | 0.292328i | ||||
\(538\) | − | 7.42151i | − | 0.319964i | ||||||
\(539\) | −1.69527 | + | 41.6516i | −0.0730206 | + | 1.79406i | ||||
\(540\) | 15.4275i | 0.663896i | ||||||||
\(541\) | 29.5027 | − | 17.0334i | 1.26842 | − | 0.732324i | 0.293732 | − | 0.955888i | \(-0.405103\pi\) |
0.974689 | + | 0.223564i | \(0.0717692\pi\) | |||||||
\(542\) | 4.38228 | − | 7.59034i | 0.188235 | − | 0.326033i | ||||
\(543\) | 5.50371 | − | 9.53270i | 0.236187 | − | 0.409087i | ||||
\(544\) | 13.8660 | − | 8.00555i | 0.594500 | − | 0.343235i | ||||
\(545\) | 0.0485183 | 0.00207830 | ||||||||
\(546\) | −4.62851 | + | 0.0355167i | −0.198082 | + | 0.00151997i | ||||
\(547\) | −0.850931 | −0.0363832 | −0.0181916 | − | 0.999835i | \(-0.505791\pi\) | ||||
−0.0181916 | + | 0.999835i | \(0.505791\pi\) | |||||||
\(548\) | 27.1741 | − | 15.6890i | 1.16082 | − | 0.670200i | ||||
\(549\) | 2.94507 | − | 5.10102i | 0.125693 | − | 0.217706i | ||||
\(550\) | 2.88013 | − | 4.98853i | 0.122809 | − | 0.212712i | ||||
\(551\) | −12.1357 | + | 7.00657i | −0.516999 | + | 0.298490i | ||||
\(552\) | − | 1.01942i | − | 0.0433895i | ||||||
\(553\) | 0.00705575 | − | 0.346853i | 0.000300041 | − | 0.0147497i | ||||
\(554\) | − | 3.11641i | − | 0.132404i | ||||||
\(555\) | −8.47189 | − | 14.6737i | −0.359612 | − | 0.622866i | ||||
\(556\) | −17.4571 | + | 30.2366i | −0.740347 | + | 1.28232i | ||||
\(557\) | 15.3530 | + | 8.86404i | 0.650526 | + | 0.375581i | 0.788658 | − | 0.614833i | \(-0.210776\pi\) |
−0.138132 | + | 0.990414i | \(0.544110\pi\) | |||||||
\(558\) | 0.881972 | + | 1.52762i | 0.0373369 | + | 0.0646694i | ||||
\(559\) | −8.02744 | − | 13.0459i | −0.339525 | − | 0.551781i | ||||
\(560\) | −6.17829 | − | 11.2222i | −0.261080 | − | 0.474224i | ||||
\(561\) | 37.6319i | 1.58882i | ||||||||
\(562\) | 2.95405 | + | 5.11656i | 0.124609 | + | 0.215829i | ||||
\(563\) | −12.0903 | + | 20.9410i | −0.509545 | + | 0.882558i | 0.490394 | + | 0.871501i | \(0.336853\pi\) |
−0.999939 | + | 0.0110571i | \(0.996480\pi\) | |||||||
\(564\) | −14.9562 | − | 8.63495i | −0.629768 | − | 0.363597i | ||||
\(565\) | 11.5177 | − | 6.64976i | 0.484555 | − | 0.279758i | ||||
\(566\) | − | 3.19301i | − | 0.134212i | ||||||
\(567\) | −13.0683 | + | 7.19465i | −0.548817 | + | 0.302147i | ||||
\(568\) | −4.86375 | −0.204078 | ||||||||
\(569\) | −21.3874 | − | 37.0441i | −0.896608 | − | 1.55297i | −0.831802 | − | 0.555073i | \(-0.812690\pi\) |
−0.0648066 | − | 0.997898i | \(-0.520643\pi\) | |||||||
\(570\) | −1.18913 | − | 0.686542i | −0.0498070 | − | 0.0287561i | ||||
\(571\) | 3.68140 | − | 6.37637i | 0.154062 | − | 0.266843i | −0.778655 | − | 0.627452i | \(-0.784098\pi\) |
0.932717 | + | 0.360609i | \(0.117431\pi\) | |||||||
\(572\) | −35.6901 | − | 19.2935i | −1.49228 | − | 0.806703i | ||||
\(573\) | 19.7754 | 0.826131 | ||||||||
\(574\) | −0.135096 | + | 6.64115i | −0.00563878 | + | 0.277196i | ||||
\(575\) | 1.57197 | 0.0655557 | ||||||||
\(576\) | 2.37608 | + | 4.11550i | 0.0990035 | + | 0.171479i | ||||
\(577\) | −7.09615 | − | 4.09696i | −0.295417 | − | 0.170559i | 0.344965 | − | 0.938615i | \(-0.387891\pi\) |
−0.640382 | + | 0.768057i | \(0.721224\pi\) | |||||||
\(578\) | 0.500204 | + | 0.288793i | 0.0208057 | + | 0.0120122i | ||||
\(579\) | 23.4598 | − | 13.5445i | 0.974957 | − | 0.562892i | ||||
\(580\) | − | 19.5539i | − | 0.811932i | ||||||
\(581\) | −3.65320 | + | 6.04039i | −0.151560 | + | 0.250598i | ||||
\(582\) | −3.19426 | −0.132406 | ||||||||
\(583\) | 14.3325 | − | 8.27485i | 0.593590 | − | 0.342709i | ||||
\(584\) | 5.90491 | − | 10.2276i | 0.244347 | − | 0.423221i | ||||
\(585\) | −0.126848 | − | 4.52703i | −0.00524450 | − | 0.187170i | ||||
\(586\) | 1.93339 | + | 3.34874i | 0.0798678 | + | 0.138335i | ||||
\(587\) | − | 39.1141i | − | 1.61441i | −0.590271 | − | 0.807205i | \(-0.700979\pi\) | ||
0.590271 | − | 0.807205i | \(-0.299021\pi\) | |||||||
\(588\) | 10.3265 | − | 16.3155i | 0.425856 | − | 0.672838i | ||||
\(589\) | 11.9566 | 0.492664 | ||||||||
\(590\) | 0.354178 | − | 0.204485i | 0.0145813 | − | 0.00841849i | ||||
\(591\) | −3.37319 | − | 1.94751i | −0.138755 | − | 0.0801100i | ||||
\(592\) | −23.2886 | − | 13.4457i | −0.957158 | − | 0.552615i | ||||
\(593\) | −1.05082 | + | 0.606691i | −0.0431520 | + | 0.0249138i | −0.521421 | − | 0.853300i | \(-0.674598\pi\) |
0.478269 | + | 0.878213i | \(0.341264\pi\) | |||||||
\(594\) | 11.1792 | 0.458689 | ||||||||
\(595\) | 8.56803 | − | 14.1668i | 0.351255 | − | 0.580783i | ||||
\(596\) | 5.82125i | 0.238448i | ||||||||
\(597\) | 14.7443 | + | 25.5378i | 0.603442 | + | 1.04519i | ||||
\(598\) | 0.0181311 | + | 0.647075i | 0.000741435 | + | 0.0264609i | ||||
\(599\) | −16.3319 | + | 28.2877i | −0.667303 | + | 1.15580i | 0.311352 | + | 0.950295i | \(0.399218\pi\) |
−0.978655 | + | 0.205508i | \(0.934115\pi\) | |||||||
\(600\) | −4.75642 | + | 2.74612i | −0.194180 | + | 0.112110i | ||||
\(601\) | 2.50114 | 0.102024 | 0.0510118 | − | 0.998698i | \(-0.483755\pi\) | ||||
0.0510118 | + | 0.998698i | \(0.483755\pi\) | |||||||
\(602\) | −3.73519 | − | 0.0759819i | −0.152235 | − | 0.00309679i | ||||
\(603\) | − | 0.857671i | − | 0.0349271i | ||||||
\(604\) | 4.17088 | − | 2.40806i | 0.169711 | − | 0.0979825i | ||||
\(605\) | −30.6275 | − | 17.6828i | −1.24518 | − | 0.718907i | ||||
\(606\) | 0.0297628 | + | 0.0171836i | 0.00120903 | + | 0.000698035i | ||||
\(607\) | −6.32282 | − | 10.9515i | −0.256635 | − | 0.444506i | 0.708703 | − | 0.705507i | \(-0.249281\pi\) |
−0.965338 | + | 0.261001i | \(0.915947\pi\) | |||||||
\(608\) | −7.24055 | −0.293643 | ||||||||
\(609\) | 24.2209 | − | 13.3347i | 0.981482 | − | 0.540347i | ||||
\(610\) | −3.25726 | −0.131883 | ||||||||
\(611\) | 19.8579 | + | 10.7349i | 0.803365 | + | 0.434287i | ||||
\(612\) | −3.55336 | + | 6.15460i | −0.143636 | + | 0.248785i | ||||
\(613\) | 17.3448 | + | 10.0140i | 0.700548 | + | 0.404462i | 0.807552 | − | 0.589797i | \(-0.200792\pi\) |
−0.107003 | + | 0.994259i | \(0.534126\pi\) | |||||||
\(614\) | −2.29804 | − | 3.98032i | −0.0927413 | − | 0.160633i | ||||
\(615\) | 15.9409 | 0.642801 | ||||||||
\(616\) | −17.8435 | + | 9.82359i | −0.718934 | + | 0.395804i | ||||
\(617\) | 45.2926i | 1.82341i | 0.410846 | + | 0.911705i | \(0.365233\pi\) | ||||
−0.410846 | + | 0.911705i | \(0.634767\pi\) | |||||||
\(618\) | 2.66336 | − | 1.53769i | 0.107136 | − | 0.0618551i | ||||
\(619\) | 3.83922 | + | 2.21658i | 0.154311 | + | 0.0890917i | 0.575167 | − | 0.818036i | \(-0.304937\pi\) |
−0.420856 | + | 0.907127i | \(0.638270\pi\) | |||||||
\(620\) | −8.34212 | + | 14.4490i | −0.335028 | + | 0.580285i | ||||
\(621\) | 1.52540 | + | 2.64207i | 0.0612122 | + | 0.106023i | ||||
\(622\) | 10.2087i | 0.409332i | ||||||||
\(623\) | −25.7045 | − | 0.522886i | −1.02983 | − | 0.0209490i | ||||
\(624\) | 9.23889 | + | 15.0147i | 0.369852 | + | 0.601067i | ||||
\(625\) | 0.989985 | + | 1.71471i | 0.0395994 | + | 0.0685882i | ||||
\(626\) | 3.19125 | + | 1.84247i | 0.127548 | + | 0.0736400i | ||||
\(627\) | 8.50897 | − | 14.7380i | 0.339816 | − | 0.588578i | ||||
\(628\) | 8.88931 | + | 15.3967i | 0.354722 | + | 0.614397i | ||||
\(629\) | − | 34.7544i | − | 1.38575i | ||||||
\(630\) | −0.945148 | − | 0.571621i | −0.0376556 | − | 0.0227739i | ||||
\(631\) | 19.7358i | 0.785672i | 0.919609 | + | 0.392836i | \(0.128506\pi\) | ||||
−0.919609 | + | 0.392836i | \(0.871494\pi\) | |||||||
\(632\) | 0.146805 | − | 0.0847581i | 0.00583961 | − | 0.00337150i | ||||
\(633\) | −9.58147 | + | 16.5956i | −0.380829 | + | 0.659615i | ||||
\(634\) | −3.96912 | + | 6.87472i | −0.157634 | + | 0.273030i | ||||
\(635\) | 18.0220 | − | 10.4050i | 0.715180 | − | 0.412909i | ||||
\(636\) | −7.66574 | −0.303967 | ||||||||
\(637\) | −12.8953 | + | 21.6959i | −0.510929 | + | 0.859623i | ||||
\(638\) | −14.1693 | −0.560968 | ||||||||
\(639\) | 2.83096 | − | 1.63445i | 0.111991 | − | 0.0646580i | ||||
\(640\) | 6.66106 | − | 11.5373i | 0.263302 | − | 0.456052i | ||||
\(641\) | 19.8213 | − | 34.3314i | 0.782893 | − | 1.35601i | −0.147357 | − | 0.989083i | \(-0.547077\pi\) |
0.930250 | − | 0.366926i | \(-0.119590\pi\) | |||||||
\(642\) | −3.25641 | + | 1.88009i | −0.128520 | + | 0.0742012i | ||||
\(643\) | 20.8300i | 0.821453i | 0.911759 | + | 0.410727i | \(0.134725\pi\) | ||||
−0.911759 | + | 0.410727i | \(0.865275\pi\) | |||||||
\(644\) | −2.31066 | − | 1.39748i | −0.0910529 | − | 0.0550684i | ||||
\(645\) | 8.96568i | 0.353023i | ||||||||
\(646\) | −1.40821 | − | 2.43909i | −0.0554052 | − | 0.0959646i | ||||
\(647\) | −7.87206 | + | 13.6348i | −0.309482 | + | 0.536039i | −0.978249 | − | 0.207433i | \(-0.933489\pi\) |
0.668767 | + | 0.743472i | \(0.266822\pi\) | |||||||
\(648\) | −6.31269 | − | 3.64463i | −0.247986 | − | 0.143175i | ||||
\(649\) | 2.53437 | + | 4.38966i | 0.0994828 | + | 0.172309i | ||||
\(650\) | 2.97028 | − | 1.82769i | 0.116504 | − | 0.0716877i | ||||
\(651\) | −23.5864 | − | 0.479800i | −0.924426 | − | 0.0188049i | ||||
\(652\) | 1.31352i | 0.0514413i | ||||||||
\(653\) | 13.5132 | + | 23.4055i | 0.528812 | + | 0.915930i | 0.999436 | + | 0.0335954i | \(0.0106958\pi\) |
−0.470623 | + | 0.882334i | \(0.655971\pi\) | |||||||
\(654\) | −0.00814244 | + | 0.0141031i | −0.000318395 | + | 0.000551476i | ||||
\(655\) | −11.8538 | − | 6.84378i | −0.463165 | − | 0.267409i | ||||
\(656\) | 21.9103 | − | 12.6499i | 0.855453 | − | 0.493896i | ||||
\(657\) | 7.93734i | 0.309665i | ||||||||
\(658\) | 4.82305 | − | 2.65529i | 0.188022 | − | 0.103514i | ||||
\(659\) | −6.79491 | −0.264692 | −0.132346 | − | 0.991204i | \(-0.542251\pi\) | ||||
−0.132346 | + | 0.991204i | \(0.542251\pi\) | |||||||
\(660\) | 11.8734 | + | 20.5653i | 0.462172 | + | 0.800505i | ||||
\(661\) | 6.23994 | + | 3.60263i | 0.242705 | + | 0.140126i | 0.616420 | − | 0.787418i | \(-0.288583\pi\) |
−0.373714 | + | 0.927544i | \(0.621916\pi\) | |||||||
\(662\) | −3.04522 | + | 5.27448i | −0.118356 | + | 0.204998i | ||||
\(663\) | −10.8350 | + | 20.0431i | −0.420796 | + | 0.778409i | ||||
\(664\) | −3.44930 | −0.133859 | ||||||||
\(665\) | −6.55880 | + | 3.61090i | −0.254339 | + | 0.140025i | ||||
\(666\) | −2.31866 | −0.0898463 | ||||||||
\(667\) | −1.93339 | − | 3.34874i | −0.0748613 | − | 0.129664i | ||||
\(668\) | −22.8831 | − | 13.2115i | −0.885372 | − | 0.511170i | ||||
\(669\) | −2.81087 | − | 1.62285i | −0.108674 | − | 0.0627432i | ||||
\(670\) | −0.410750 | + | 0.237147i | −0.0158687 | + | 0.00916178i | ||||
\(671\) | − | 40.3703i | − | 1.55848i | ||||||
\(672\) | 14.2832 | + | 0.290552i | 0.550987 | + | 0.0112083i | ||||
\(673\) | −8.32130 | −0.320763 | −0.160381 | − | 0.987055i | \(-0.551272\pi\) | ||||
−0.160381 | + | 0.987055i | \(0.551272\pi\) | |||||||
\(674\) | −2.07756 | + | 1.19948i | −0.0800246 | + | 0.0462022i | ||||
\(675\) | 8.21824 | − | 14.2344i | 0.316320 | − | 0.547883i | ||||
\(676\) | −13.4539 | − | 20.5518i | −0.517456 | − | 0.790454i | ||||
\(677\) | 14.9978 | + | 25.9770i | 0.576413 | + | 0.998376i | 0.995887 | + | 0.0906086i | \(0.0288812\pi\) |
−0.419474 | + | 0.907767i | \(0.637785\pi\) | |||||||
\(678\) | 4.46391i | 0.171435i | ||||||||
\(679\) | −9.01372 | + | 14.9037i | −0.345915 | + | 0.571953i | ||||
\(680\) | 8.08982 | 0.310231 | ||||||||
\(681\) | −34.2671 | + | 19.7841i | −1.31312 | + | 0.758128i | ||||
\(682\) | 10.4701 | + | 6.04493i | 0.400922 | + | 0.231472i | ||||
\(683\) | −31.2496 | − | 18.0420i | −1.19573 | − | 0.690356i | −0.236132 | − | 0.971721i | \(-0.575880\pi\) |
−0.959601 | + | 0.281365i | \(0.909213\pi\) | |||||||
\(684\) | 2.78324 | − | 1.60690i | 0.106420 | − | 0.0614415i | ||||
\(685\) | 24.0064 | 0.917236 | ||||||||
\(686\) | 2.74703 | + | 5.50874i | 0.104882 | + | 0.210325i | ||||
\(687\) | − | 27.7205i | − | 1.05760i | ||||||
\(688\) | 7.11470 | + | 12.3230i | 0.271245 | + | 0.469811i | ||||
\(689\) | 10.0161 | − | 0.280651i | 0.381583 | − | 0.0106920i | ||||
\(690\) | 0.189445 | − | 0.328128i | 0.00721204 | − | 0.0124916i | ||||
\(691\) | −22.3155 | + | 12.8838i | −0.848920 | + | 0.490124i | −0.860286 | − | 0.509811i | \(-0.829715\pi\) |
0.0113665 | + | 0.999935i | \(0.496382\pi\) | |||||||
\(692\) | 10.2724 | 0.390497 | ||||||||
\(693\) | 7.08465 | − | 11.7141i | 0.269123 | − | 0.444983i | ||||
\(694\) | 7.00589i | 0.265940i | ||||||||
\(695\) | −23.1332 | + | 13.3559i | −0.877491 | + | 0.506620i | ||||
\(696\) | 11.7000 | + | 6.75501i | 0.443488 | + | 0.256048i | ||||
\(697\) | 28.3168 | + | 16.3487i | 1.07258 | + | 0.619252i | ||||
\(698\) | 5.11242 | + | 8.85496i | 0.193508 | + | 0.335165i | ||||
\(699\) | −31.7369 | −1.20040 | ||||||||
\(700\) | −0.295890 | + | 14.5456i | −0.0111836 | + | 0.549772i | ||||
\(701\) | −41.7872 | −1.57828 | −0.789141 | − | 0.614213i | \(-0.789474\pi\) | ||||
−0.789141 | + | 0.614213i | \(0.789474\pi\) | |||||||
\(702\) | 5.95415 | + | 3.21872i | 0.224725 | + | 0.121483i | ||||
\(703\) | −7.85834 | + | 13.6110i | −0.296383 | + | 0.513350i | ||||
\(704\) | 28.2071 | + | 16.2854i | 1.06310 | + | 0.613778i | ||||
\(705\) | −6.60635 | − | 11.4425i | −0.248809 | − | 0.430951i | ||||
\(706\) | −2.03471 | −0.0765774 | ||||||||
\(707\) | 0.164161 | − | 0.0903778i | 0.00617393 | − | 0.00339901i | ||||
\(708\) | − | 2.34782i | − | 0.0882364i | ||||||
\(709\) | −0.297781 | + | 0.171924i | −0.0111834 | + | 0.00645673i | −0.505581 | − | 0.862779i | \(-0.668722\pi\) |
0.494398 | + | 0.869236i | \(0.335389\pi\) | |||||||
\(710\) | −1.56552 | − | 0.903855i | −0.0587530 | − | 0.0339211i | ||||
\(711\) | −0.0569657 | + | 0.0986674i | −0.00213638 | + | 0.00370032i | ||||
\(712\) | −6.28124 | − | 10.8794i | −0.235399 | − | 0.407724i | ||||
\(713\) | 3.29931i | 0.123560i | ||||||||
\(714\) | 2.68005 | + | 4.86802i | 0.100298 | + | 0.182181i | ||||
\(715\) | −16.2668 | − | 26.4361i | −0.608342 | − | 0.988652i | ||||
\(716\) | 5.06227 | + | 8.76810i | 0.189186 | + | 0.327679i | ||||
\(717\) | 25.2466 | + | 14.5761i | 0.942852 | + | 0.544356i | ||||
\(718\) | 3.22881 | − | 5.59246i | 0.120498 | − | 0.208709i | ||||
\(719\) | 4.39005 | + | 7.60379i | 0.163721 | + | 0.283574i | 0.936200 | − | 0.351467i | \(-0.114317\pi\) |
−0.772479 | + | 0.635040i | \(0.780984\pi\) | |||||||
\(720\) | 4.20702i | 0.156786i | ||||||||
\(721\) | 0.341055 | − | 16.7659i | 0.0127015 | − | 0.624393i | ||||
\(722\) | − | 5.04149i | − | 0.187625i | ||||||
\(723\) | 4.08416 | − | 2.35799i | 0.151891 | − | 0.0876946i | ||||
\(724\) | 7.12367 | − | 12.3386i | 0.264749 | − | 0.458559i | ||||
\(725\) | −10.4164 | + | 18.0416i | −0.386854 | + | 0.670050i | ||||
\(726\) | 10.2799 | − | 5.93512i | 0.381524 | − | 0.220273i | ||||
\(727\) | 17.3658 | 0.644064 | 0.322032 | − | 0.946729i | \(-0.395634\pi\) | ||||
0.322032 | + | 0.946729i | \(0.395634\pi\) | |||||||
\(728\) | −12.3320 | + | 0.0946291i | −0.457054 | + | 0.00350719i | ||||
\(729\) | 29.6343 | 1.09757 | ||||||||
\(730\) | 3.80130 | − | 2.19468i | 0.140692 | − | 0.0812288i | ||||
\(731\) | −9.19502 | + | 15.9262i | −0.340090 | + | 0.589053i | ||||
\(732\) | −9.34968 | + | 16.1941i | −0.345574 | + | 0.598552i | ||||
\(733\) | −7.84528 | + | 4.52947i | −0.289772 | + | 0.167300i | −0.637839 | − | 0.770170i | \(-0.720172\pi\) |
0.348067 | + | 0.937470i | \(0.386838\pi\) | |||||||
\(734\) | 1.79638i | 0.0663056i | ||||||||
\(735\) | 13.0833 | − | 6.85991i | 0.482583 | − | 0.253032i | ||||
\(736\) | − | 1.99796i | − | 0.0736458i | ||||||
\(737\) | −2.93919 | − | 5.09082i | −0.108266 | − | 0.187523i | ||||
\(738\) | 1.09071 | − | 1.88917i | 0.0401498 | − | 0.0695414i | ||||
\(739\) | −6.13010 | − | 3.53921i | −0.225499 | − | 0.130192i | 0.382995 | − | 0.923751i | \(-0.374893\pi\) |
−0.608494 | + | 0.793558i | \(0.708226\pi\) | |||||||
\(740\) | −10.9655 | − | 18.9928i | −0.403100 | − | 0.698190i | ||||
\(741\) | 8.77531 | − | 5.39966i | 0.322369 | − | 0.198362i | ||||
\(742\) | 1.26472 | − | 2.09115i | 0.0464292 | − | 0.0767685i | ||||
\(743\) | − | 14.6779i | − | 0.538479i | −0.963073 | − | 0.269240i | \(-0.913228\pi\) | ||
0.963073 | − | 0.269240i | \(-0.0867724\pi\) | |||||||
\(744\) | −5.76367 | − | 9.98297i | −0.211306 | − | 0.365993i | ||||
\(745\) | −2.22684 | + | 3.85699i | −0.0815849 | + | 0.141309i | ||||
\(746\) | 4.67768 | + | 2.70066i | 0.171262 | + | 0.0988782i | ||||
\(747\) | 2.00768 | − | 1.15913i | 0.0734571 | − | 0.0424105i | ||||
\(748\) | 48.7085i | 1.78096i | ||||||||
\(749\) | −0.416997 | + | 20.4991i | −0.0152367 | + | 0.749020i | ||||
\(750\) | −5.54848 | −0.202602 | ||||||||
\(751\) | −15.8556 | − | 27.4628i | −0.578580 | − | 1.00213i | −0.995643 | − | 0.0932523i | \(-0.970274\pi\) |
0.417062 | − | 0.908878i | \(-0.363060\pi\) | |||||||
\(752\) | −18.1604 | − | 10.4849i | −0.662241 | − | 0.382345i | ||||
\(753\) | 9.11788 | − | 15.7926i | 0.332274 | − | 0.575516i | ||||
\(754\) | −7.54669 | − | 4.07962i | −0.274834 | − | 0.148571i | ||||
\(755\) | 3.68467 | 0.134099 | ||||||||
\(756\) | −24.7345 | + | 13.6174i | −0.899585 | + | 0.495259i | ||||
\(757\) | 15.5317 | 0.564510 | 0.282255 | − | 0.959339i | \(-0.408918\pi\) | ||||
0.282255 | + | 0.959339i | \(0.408918\pi\) | |||||||
\(758\) | 4.18344 | + | 7.24593i | 0.151949 | + | 0.263184i | ||||
\(759\) | 4.06680 | + | 2.34797i | 0.147616 | + | 0.0852259i | ||||
\(760\) | −3.16825 | − | 1.82919i | −0.114925 | − | 0.0663518i | ||||
\(761\) | −0.216826 | + | 0.125185i | −0.00785993 | + | 0.00453794i | −0.503925 | − | 0.863748i | \(-0.668111\pi\) |
0.496065 | + | 0.868285i | \(0.334778\pi\) | |||||||
\(762\) | 6.98474i | 0.253030i | ||||||||
\(763\) | 0.0428255 | + | 0.0777879i | 0.00155039 | + | 0.00281611i | ||||
\(764\) | 25.5961 | 0.926036 | ||||||||
\(765\) | −4.70870 | + | 2.71857i | −0.170243 | + | 0.0982901i | ||||
\(766\) | 0.633903 | − | 1.09795i | 0.0229039 | − | 0.0396706i | ||||
\(767\) | 0.0859562 | + | 3.06767i | 0.00310370 | + | 0.110767i | ||||
\(768\) | −5.74859 | − | 9.95686i | −0.207435 | − | 0.359287i | ||||
\(769\) | − | 24.0146i | − | 0.865988i | −0.901397 | − | 0.432994i | \(-0.857457\pi\) | ||
0.901397 | − | 0.432994i | \(-0.142543\pi\) | |||||||
\(770\) | −7.56896 | − | 0.153969i | −0.272766 | − | 0.00554867i | ||||
\(771\) | −8.50731 | −0.306383 | ||||||||
\(772\) | 30.3650 | − | 17.5312i | 1.09286 | − | 0.630963i | ||||
\(773\) |