Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(32,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.32");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bf (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 107.2 | ||
Character | \(\chi\) | \(=\) | 525.107 |
Dual form | 525.2.bf.f.368.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.582118 | − | 2.17249i | −0.411619 | − | 1.53618i | −0.791512 | − | 0.611154i | \(-0.790706\pi\) |
0.379893 | − | 0.925031i | \(-0.375961\pi\) | |||||||
\(3\) | −1.71460 | − | 0.245221i | −0.989927 | − | 0.141579i | ||||
\(4\) | −2.64881 | + | 1.52929i | −1.32441 | + | 0.764646i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.465359 | + | 3.86771i | 0.189982 | + | 1.57899i | ||||
\(7\) | 1.15099 | + | 2.38227i | 0.435034 | + | 0.900414i | ||||
\(8\) | 1.68355 | + | 1.68355i | 0.595223 | + | 0.595223i | ||||
\(9\) | 2.87973 | + | 0.840915i | 0.959911 | + | 0.280305i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.88729 | − | 2.24433i | 1.17206 | − | 0.676690i | 0.217896 | − | 0.975972i | \(-0.430081\pi\) |
0.954165 | + | 0.299282i | \(0.0967473\pi\) | |||||||
\(12\) | 4.91668 | − | 1.97258i | 1.41932 | − | 0.569436i | ||||
\(13\) | 1.08424 | − | 1.08424i | 0.300715 | − | 0.300715i | −0.540578 | − | 0.841294i | \(-0.681795\pi\) |
0.841294 | + | 0.540578i | \(0.181795\pi\) | |||||||
\(14\) | 4.50545 | − | 3.88729i | 1.20413 | − | 1.03892i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.381115 | + | 0.660111i | −0.0952788 | + | 0.165028i | ||||
\(17\) | 2.04863 | + | 0.548929i | 0.496866 | + | 0.133135i | 0.498545 | − | 0.866864i | \(-0.333868\pi\) |
−0.00167924 | + | 0.999999i | \(0.500535\pi\) | |||||||
\(18\) | 0.150539 | − | 6.74571i | 0.0354823 | − | 1.58998i | ||||
\(19\) | −3.66075 | − | 2.11354i | −0.839834 | − | 0.484878i | 0.0173737 | − | 0.999849i | \(-0.494469\pi\) |
−0.857208 | + | 0.514971i | \(0.827803\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.38931 | − | 4.36690i | −0.303173 | − | 0.952936i | ||||
\(22\) | −7.13864 | − | 7.13864i | −1.52196 | − | 1.52196i | ||||
\(23\) | 3.13628 | − | 0.840363i | 0.653959 | − | 0.175228i | 0.0834407 | − | 0.996513i | \(-0.473409\pi\) |
0.570518 | + | 0.821285i | \(0.306742\pi\) | |||||||
\(24\) | −2.47377 | − | 3.29946i | −0.504957 | − | 0.673499i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.98667 | − | 1.72435i | −0.585734 | − | 0.338174i | ||||
\(27\) | −4.73139 | − | 2.14801i | −0.910557 | − | 0.413384i | ||||
\(28\) | −6.69195 | − | 4.54998i | −1.26466 | − | 0.859866i | ||||
\(29\) | 1.69118 | 0.314045 | 0.157023 | − | 0.987595i | \(-0.449810\pi\) | ||||
0.157023 | + | 0.987595i | \(0.449810\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.530077 | + | 0.918121i | 0.0952047 | + | 0.164899i | 0.909694 | − | 0.415279i | \(-0.136316\pi\) |
−0.814489 | + | 0.580179i | \(0.802983\pi\) | |||||||
\(32\) | 6.25547 | + | 1.67615i | 1.10582 | + | 0.296304i | ||||
\(33\) | −7.21551 | + | 2.89488i | −1.25606 | + | 0.503935i | ||||
\(34\) | − | 4.77017i | − | 0.818078i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −8.91388 | + | 2.17653i | −1.48565 | + | 0.362755i | ||||
\(37\) | 5.75771 | − | 1.54277i | 0.946562 | − | 0.253631i | 0.247659 | − | 0.968847i | \(-0.420339\pi\) |
0.698903 | + | 0.715217i | \(0.253672\pi\) | |||||||
\(38\) | −2.46065 | + | 9.18328i | −0.399171 | + | 1.48973i | ||||
\(39\) | −2.12493 | + | 1.59317i | −0.340261 | + | 0.255111i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 5.84230i | − | 0.912414i | −0.889874 | − | 0.456207i | \(-0.849208\pi\) | ||
0.889874 | − | 0.456207i | \(-0.150792\pi\) | |||||||
\(42\) | −8.67831 | + | 5.56032i | −1.33909 | + | 0.857976i | ||||
\(43\) | −2.00369 | + | 2.00369i | −0.305559 | + | 0.305559i | −0.843184 | − | 0.537625i | \(-0.819322\pi\) |
0.537625 | + | 0.843184i | \(0.319322\pi\) | |||||||
\(44\) | −6.86446 | + | 11.8896i | −1.03486 | + | 1.79242i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.65136 | − | 6.32435i | −0.538364 | − | 0.932474i | ||||
\(47\) | −1.36662 | − | 5.10030i | −0.199342 | − | 0.743956i | −0.991100 | − | 0.133120i | \(-0.957500\pi\) |
0.791758 | − | 0.610835i | \(-0.209166\pi\) | |||||||
\(48\) | 0.815335 | − | 1.03837i | 0.117684 | − | 0.149876i | ||||
\(49\) | −4.35043 | + | 5.48395i | −0.621490 | + | 0.783422i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.37798 | − | 1.44356i | −0.473012 | − | 0.202139i | ||||
\(52\) | −1.21383 | + | 4.53008i | −0.168328 | + | 0.628210i | ||||
\(53\) | 2.23651 | − | 8.34677i | 0.307208 | − | 1.14652i | −0.623819 | − | 0.781569i | \(-0.714420\pi\) |
0.931028 | − | 0.364949i | \(-0.118913\pi\) | |||||||
\(54\) | −1.91231 | + | 11.5293i | −0.260232 | + | 1.56894i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −2.07291 | + | 5.94841i | −0.277005 | + | 0.794890i | ||||
\(57\) | 5.75846 | + | 4.52157i | 0.762726 | + | 0.598897i | ||||
\(58\) | −0.984468 | − | 3.67409i | −0.129267 | − | 0.482431i | ||||
\(59\) | 2.35137 | + | 4.07269i | 0.306122 | + | 0.530219i | 0.977510 | − | 0.210887i | \(-0.0676351\pi\) |
−0.671389 | + | 0.741106i | \(0.734302\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.88827 | − | 6.73469i | 0.497842 | − | 0.862288i | −0.502154 | − | 0.864778i | \(-0.667459\pi\) |
0.999997 | + | 0.00248951i | \(0.000792436\pi\) | |||||||
\(62\) | 1.68604 | − | 1.68604i | 0.214128 | − | 0.214128i | ||||
\(63\) | 1.31127 | + | 7.82819i | 0.165204 | + | 0.986259i | ||||
\(64\) | − | 13.0412i | − | 1.63015i | ||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 10.4894 | + | 13.9905i | 1.29115 | + | 1.72211i | ||||
\(67\) | 0.152628 | − | 0.569614i | 0.0186464 | − | 0.0695895i | −0.955976 | − | 0.293446i | \(-0.905198\pi\) |
0.974622 | + | 0.223856i | \(0.0718646\pi\) | |||||||
\(68\) | −6.26591 | + | 1.67894i | −0.759853 | + | 0.203602i | ||||
\(69\) | −5.58355 | + | 0.671807i | −0.672180 | + | 0.0808761i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 4.66845i | − | 0.554043i | −0.960864 | − | 0.277022i | \(-0.910653\pi\) | ||
0.960864 | − | 0.277022i | \(-0.0893473\pi\) | |||||||
\(72\) | 3.43244 | + | 6.26388i | 0.404517 | + | 0.738206i | ||||
\(73\) | 4.22038 | + | 1.13085i | 0.493958 | + | 0.132356i | 0.497195 | − | 0.867639i | \(-0.334363\pi\) |
−0.00323633 | + | 0.999995i | \(0.501030\pi\) | |||||||
\(74\) | −6.70333 | − | 11.6105i | −0.779246 | − | 1.34969i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 12.9289 | 1.48304 | ||||||||
\(77\) | 9.82083 | + | 6.67736i | 1.11919 | + | 0.760956i | ||||
\(78\) | 4.69811 | + | 3.68898i | 0.531956 | + | 0.417695i | ||||
\(79\) | 5.78361 | + | 3.33917i | 0.650707 | + | 0.375686i | 0.788727 | − | 0.614743i | \(-0.210740\pi\) |
−0.138020 | + | 0.990429i | \(0.544074\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 7.58572 | + | 4.84322i | 0.842858 | + | 0.538136i | ||||
\(82\) | −12.6924 | + | 3.40091i | −1.40164 | + | 0.375567i | ||||
\(83\) | −11.0713 | − | 11.0713i | −1.21523 | − | 1.21523i | −0.969283 | − | 0.245948i | \(-0.920901\pi\) |
−0.245948 | − | 0.969283i | \(-0.579099\pi\) | |||||||
\(84\) | 10.3583 | + | 9.44243i | 1.13018 | + | 1.03025i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 5.51938 | + | 3.18661i | 0.595170 | + | 0.343621i | ||||
\(87\) | −2.89971 | − | 0.414715i | −0.310882 | − | 0.0444621i | ||||
\(88\) | 10.3228 | + | 2.76600i | 1.10042 | + | 0.294856i | ||||
\(89\) | 1.75680 | − | 3.04287i | 0.186221 | − | 0.322544i | −0.757766 | − | 0.652526i | \(-0.773709\pi\) |
0.943987 | + | 0.329982i | \(0.107043\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.83092 | + | 1.33501i | 0.401590 | + | 0.139947i | ||||
\(92\) | −7.02225 | + | 7.02225i | −0.732120 | + | 0.732120i | ||||
\(93\) | −0.683730 | − | 1.70420i | −0.0708995 | − | 0.176717i | ||||
\(94\) | −10.2848 | + | 5.93795i | −1.06080 | + | 0.612453i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −10.3146 | − | 4.40791i | −1.05273 | − | 0.449880i | ||||
\(97\) | 5.60466 | + | 5.60466i | 0.569067 | + | 0.569067i | 0.931867 | − | 0.362800i | \(-0.118179\pi\) |
−0.362800 | + | 0.931867i | \(0.618179\pi\) | |||||||
\(98\) | 14.4463 | + | 6.25897i | 1.45930 | + | 0.632251i | ||||
\(99\) | 13.0816 | − | 3.19418i | 1.31475 | − | 0.321027i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −11.4573 | + | 6.61487i | −1.14004 | + | 0.658204i | −0.946441 | − | 0.322877i | \(-0.895350\pi\) |
−0.193601 | + | 0.981080i | \(0.562017\pi\) | |||||||
\(102\) | −1.16975 | + | 8.17896i | −0.115822 | + | 0.809838i | ||||
\(103\) | 0.911647 | + | 3.40231i | 0.0898273 | + | 0.335240i | 0.996184 | − | 0.0872723i | \(-0.0278150\pi\) |
−0.906357 | + | 0.422512i | \(0.861148\pi\) | |||||||
\(104\) | 3.65075 | 0.357985 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −19.4352 | −1.88771 | ||||||||
\(107\) | −2.40763 | − | 8.98539i | −0.232754 | − | 0.868651i | −0.979148 | − | 0.203146i | \(-0.934883\pi\) |
0.746394 | − | 0.665504i | \(-0.231783\pi\) | |||||||
\(108\) | 15.8175 | − | 1.54601i | 1.52204 | − | 0.148765i | ||||
\(109\) | 16.3639 | − | 9.44773i | 1.56738 | − | 0.904928i | 0.570909 | − | 0.821013i | \(-0.306591\pi\) |
0.996473 | − | 0.0839152i | \(-0.0267425\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −10.2505 | + | 1.23333i | −0.972936 | + | 0.117063i | ||||
\(112\) | −2.01122 | − | 0.148137i | −0.190043 | − | 0.0139976i | ||||
\(113\) | 8.67219 | + | 8.67219i | 0.815811 | + | 0.815811i | 0.985498 | − | 0.169687i | \(-0.0542757\pi\) |
−0.169687 | + | 0.985498i | \(0.554276\pi\) | |||||||
\(114\) | 6.47098 | − | 15.1423i | 0.606063 | − | 1.41821i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −4.47963 | + | 2.58632i | −0.415923 | + | 0.240133i | ||||
\(117\) | 4.03409 | − | 2.21058i | 0.372952 | − | 0.204368i | ||||
\(118\) | 7.47911 | − | 7.47911i | 0.688508 | − | 0.688508i | ||||
\(119\) | 1.05026 | + | 5.51221i | 0.0962774 | + | 0.505303i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.57399 | − | 7.92239i | 0.415818 | − | 0.720217i | ||||
\(122\) | −16.8945 | − | 4.52687i | −1.52956 | − | 0.409843i | ||||
\(123\) | −1.43266 | + | 10.0172i | −0.129178 | + | 0.903224i | ||||
\(124\) | −2.80815 | − | 1.62129i | −0.252179 | − | 0.145596i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 16.2434 | − | 7.40564i | 1.44708 | − | 0.659747i | ||||
\(127\) | −6.12576 | − | 6.12576i | −0.543573 | − | 0.543573i | 0.381001 | − | 0.924574i | \(-0.375579\pi\) |
−0.924574 | + | 0.381001i | \(0.875579\pi\) | |||||||
\(128\) | −15.8210 | + | 4.23923i | −1.39839 | + | 0.374698i | ||||
\(129\) | 3.92688 | − | 2.94418i | 0.345742 | − | 0.259221i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 15.1848 | + | 8.76695i | 1.32670 | + | 0.765972i | 0.984788 | − | 0.173759i | \(-0.0555913\pi\) |
0.341915 | + | 0.939731i | \(0.388925\pi\) | |||||||
\(132\) | 14.6854 | − | 18.7026i | 1.27820 | − | 1.62785i | ||||
\(133\) | 0.821516 | − | 11.1536i | 0.0712344 | − | 0.967137i | ||||
\(134\) | −1.32633 | −0.114578 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.52482 | + | 4.37311i | 0.216501 | + | 0.374991i | ||||
\(137\) | 5.22093 | + | 1.39894i | 0.446054 | + | 0.119520i | 0.474853 | − | 0.880065i | \(-0.342501\pi\) |
−0.0287983 | + | 0.999585i | \(0.509168\pi\) | |||||||
\(138\) | 4.70978 | + | 11.7391i | 0.400923 | + | 0.999302i | ||||
\(139\) | 6.37838i | 0.541007i | 0.962719 | + | 0.270504i | \(0.0871902\pi\) | ||||
−0.962719 | + | 0.270504i | \(0.912810\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.09251 | + | 9.08012i | 0.0920061 | + | 0.764684i | ||||
\(142\) | −10.1422 | + | 2.71759i | −0.851112 | + | 0.228055i | ||||
\(143\) | 1.78137 | − | 6.64816i | 0.148966 | − | 0.555947i | ||||
\(144\) | −1.65261 | + | 1.58046i | −0.137717 | + | 0.131705i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | − | 9.82703i | − | 0.813291i | ||||||
\(147\) | 8.80405 | − | 8.33599i | 0.726146 | − | 0.687541i | ||||
\(148\) | −12.8917 | + | 12.8917i | −1.05969 | + | 1.05969i | ||||
\(149\) | 5.54298 | − | 9.60071i | 0.454098 | − | 0.786521i | −0.544538 | − | 0.838736i | \(-0.683295\pi\) |
0.998636 | + | 0.0522152i | \(0.0166282\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.27465 | + | 9.13596i | 0.429245 | + | 0.743474i | 0.996806 | − | 0.0798574i | \(-0.0254465\pi\) |
−0.567562 | + | 0.823331i | \(0.692113\pi\) | |||||||
\(152\) | −2.60481 | − | 9.72128i | −0.211278 | − | 0.788500i | ||||
\(153\) | 5.43791 | + | 3.30349i | 0.439629 | + | 0.267072i | ||||
\(154\) | 8.78965 | − | 25.2227i | 0.708290 | − | 2.03250i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 3.19212 | − | 7.46964i | 0.255574 | − | 0.598050i | ||||
\(157\) | −0.862542 | + | 3.21905i | −0.0688383 | + | 0.256908i | −0.991766 | − | 0.128066i | \(-0.959123\pi\) |
0.922927 | + | 0.384974i | \(0.125790\pi\) | |||||||
\(158\) | 3.88758 | − | 14.5086i | 0.309279 | − | 1.15425i | ||||
\(159\) | −5.88154 | + | 13.7630i | −0.466436 | + | 1.09147i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 5.61180 | + | 6.50421i | 0.442272 | + | 0.512603i | ||||
\(162\) | 6.10608 | − | 19.2993i | 0.479739 | − | 1.51629i | ||||
\(163\) | 1.84861 | + | 6.89910i | 0.144794 | + | 0.540379i | 0.999764 | + | 0.0217024i | \(0.00690862\pi\) |
−0.854970 | + | 0.518677i | \(0.826425\pi\) | |||||||
\(164\) | 8.93459 | + | 15.4752i | 0.697674 | + | 1.20841i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −17.6075 | + | 30.4971i | −1.36661 | + | 2.36703i | ||||
\(167\) | −11.9043 | + | 11.9043i | −0.921184 | + | 0.921184i | −0.997113 | − | 0.0759296i | \(-0.975808\pi\) |
0.0759296 | + | 0.997113i | \(0.475808\pi\) | |||||||
\(168\) | 5.01290 | − | 9.69085i | 0.386754 | − | 0.747665i | ||||
\(169\) | 10.6488i | 0.819141i | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −8.76468 | − | 9.16480i | −0.670252 | − | 0.700850i | ||||
\(172\) | 2.24317 | − | 8.37161i | 0.171040 | − | 0.638329i | ||||
\(173\) | 0.0607017 | − | 0.0162650i | 0.00461507 | − | 0.00123660i | −0.256511 | − | 0.966541i | \(-0.582573\pi\) |
0.261126 | + | 0.965305i | \(0.415906\pi\) | |||||||
\(174\) | 0.787009 | + | 6.54101i | 0.0596630 | + | 0.495873i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 3.42139i | 0.257897i | ||||||||
\(177\) | −3.03295 | − | 7.55965i | −0.227971 | − | 0.568218i | ||||
\(178\) | −7.63328 | − | 2.04533i | −0.572139 | − | 0.153304i | ||||
\(179\) | −9.95768 | − | 17.2472i | −0.744272 | − | 1.28912i | −0.950534 | − | 0.310620i | \(-0.899463\pi\) |
0.206263 | − | 0.978497i | \(-0.433870\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.0871 | 0.972754 | 0.486377 | − | 0.873749i | \(-0.338318\pi\) | ||||
0.486377 | + | 0.873749i | \(0.338318\pi\) | |||||||
\(182\) | 0.670244 | − | 9.09978i | 0.0496818 | − | 0.674520i | ||||
\(183\) | −8.31834 | + | 10.5938i | −0.614909 | + | 0.783119i | ||||
\(184\) | 6.69485 | + | 3.86528i | 0.493551 | + | 0.284952i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −3.30435 | + | 2.47744i | −0.242287 | + | 0.181655i | ||||
\(187\) | 9.19559 | − | 2.46395i | 0.672448 | − | 0.180182i | ||||
\(188\) | 11.4198 | + | 11.4198i | 0.832873 | + | 0.832873i | ||||
\(189\) | −0.328660 | − | 13.7438i | −0.0239065 | − | 0.999714i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −10.0091 | − | 5.77878i | −0.724236 | − | 0.418138i | 0.0920740 | − | 0.995752i | \(-0.470650\pi\) |
−0.816310 | + | 0.577615i | \(0.803984\pi\) | |||||||
\(192\) | −3.19799 | + | 22.3605i | −0.230795 | + | 1.61373i | ||||
\(193\) | 13.5943 | + | 3.64257i | 0.978536 | + | 0.262198i | 0.712428 | − | 0.701745i | \(-0.247595\pi\) |
0.266108 | + | 0.963943i | \(0.414262\pi\) | |||||||
\(194\) | 8.91351 | − | 15.4387i | 0.639953 | − | 1.10843i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.13690 | − | 21.1790i | 0.224064 | − | 1.51279i | ||||
\(197\) | −17.3744 | + | 17.3744i | −1.23787 | + | 1.23787i | −0.277006 | + | 0.960868i | \(0.589342\pi\) |
−0.960868 | + | 0.277006i | \(0.910658\pi\) | |||||||
\(198\) | −14.5544 | − | 26.5604i | −1.03433 | − | 1.88756i | ||||
\(199\) | −12.5236 | + | 7.23048i | −0.887771 | + | 0.512555i | −0.873213 | − | 0.487339i | \(-0.837968\pi\) |
−0.0145585 | + | 0.999894i | \(0.504634\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.401378 | + | 0.939236i | −0.0283110 | + | 0.0662486i | ||||
\(202\) | 21.0402 | + | 21.0402i | 1.48039 | + | 1.48039i | ||||
\(203\) | 1.94654 | + | 4.02886i | 0.136620 | + | 0.282771i | ||||
\(204\) | 11.1553 | − | 1.34219i | 0.781025 | − | 0.0939722i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 6.86081 | − | 3.96109i | 0.478016 | − | 0.275982i | ||||
\(207\) | 9.73831 | + | 0.217322i | 0.676860 | + | 0.0151049i | ||||
\(208\) | 0.302500 | + | 1.12894i | 0.0209746 | + | 0.0782782i | ||||
\(209\) | −18.9739 | −1.31245 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −12.6498 | −0.870850 | −0.435425 | − | 0.900225i | \(-0.643402\pi\) | ||||
−0.435425 | + | 0.900225i | \(0.643402\pi\) | |||||||
\(212\) | 6.84056 | + | 25.5293i | 0.469811 | + | 1.75336i | ||||
\(213\) | −1.14480 | + | 8.00454i | −0.0784407 | + | 0.548462i | ||||
\(214\) | −18.1192 | + | 10.4611i | −1.23860 | + | 0.715107i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −4.34924 | − | 11.5818i | −0.295928 | − | 0.788041i | ||||
\(217\) | −1.57710 | + | 2.31954i | −0.107060 | + | 0.157461i | ||||
\(218\) | −30.0509 | − | 30.0509i | −2.03530 | − | 2.03530i | ||||
\(219\) | −6.95897 | − | 2.97388i | −0.470244 | − | 0.200956i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.81639 | − | 1.62604i | 0.189451 | − | 0.109379i | ||||
\(222\) | 8.64641 | + | 21.5512i | 0.580309 | + | 1.44642i | ||||
\(223\) | −14.9882 | + | 14.9882i | −1.00368 | + | 1.00368i | −0.00368996 | + | 0.999993i | \(0.501175\pi\) |
−0.999993 | + | 0.00368996i | \(0.998825\pi\) | |||||||
\(224\) | 3.20697 | + | 16.8315i | 0.214274 | + | 1.12460i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 13.7920 | − | 23.8885i | 0.917432 | − | 1.58904i | ||||
\(227\) | 14.6779 | + | 3.93292i | 0.974203 | + | 0.261037i | 0.710602 | − | 0.703595i | \(-0.248423\pi\) |
0.263602 | + | 0.964632i | \(0.415090\pi\) | |||||||
\(228\) | −22.1679 | − | 3.17043i | −1.46810 | − | 0.209967i | ||||
\(229\) | −9.62472 | − | 5.55684i | −0.636020 | − | 0.367206i | 0.147060 | − | 0.989128i | \(-0.453019\pi\) |
−0.783080 | + | 0.621922i | \(0.786352\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −15.2014 | − | 13.8573i | −1.00018 | − | 0.911744i | ||||
\(232\) | 2.84719 | + | 2.84719i | 0.186927 | + | 0.186927i | ||||
\(233\) | 8.94940 | − | 2.39799i | 0.586295 | − | 0.157097i | 0.0465356 | − | 0.998917i | \(-0.485182\pi\) |
0.539759 | + | 0.841819i | \(0.318515\pi\) | |||||||
\(234\) | −7.15077 | − | 7.47722i | −0.467461 | − | 0.488801i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −12.4567 | − | 7.19186i | −0.810859 | − | 0.468150i | ||||
\(237\) | −9.09777 | − | 7.14362i | −0.590964 | − | 0.464028i | ||||
\(238\) | 11.3638 | − | 5.49044i | 0.736609 | − | 0.355892i | ||||
\(239\) | −24.2150 | −1.56634 | −0.783168 | − | 0.621810i | \(-0.786398\pi\) | ||||
−0.783168 | + | 0.621810i | \(0.786398\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.06343 | + | 8.77012i | 0.326164 | + | 0.564933i | 0.981747 | − | 0.190190i | \(-0.0609105\pi\) |
−0.655583 | + | 0.755123i | \(0.727577\pi\) | |||||||
\(242\) | −19.8739 | − | 5.32520i | −1.27754 | − | 0.342317i | ||||
\(243\) | −11.8188 | − | 10.1644i | −0.758180 | − | 0.652046i | ||||
\(244\) | 23.7852i | 1.52269i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 22.5963 | − | 2.71877i | 1.44069 | − | 0.173342i | ||||
\(247\) | −6.26074 | + | 1.67756i | −0.398361 | + | 0.106741i | ||||
\(248\) | −0.653289 | + | 2.43811i | −0.0414839 | + | 0.154820i | ||||
\(249\) | 16.2679 | + | 21.6978i | 1.03094 | + | 1.37504i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 21.7383i | 1.37211i | 0.727551 | + | 0.686054i | \(0.240658\pi\) | ||||
−0.727551 | + | 0.686054i | \(0.759342\pi\) | |||||||
\(252\) | −15.4449 | − | 18.7301i | −0.972936 | − | 1.17989i | ||||
\(253\) | 10.3056 | − | 10.3056i | 0.647905 | − | 0.647905i | ||||
\(254\) | −9.74225 | + | 16.8741i | −0.611283 | + | 1.05877i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 5.37816 | + | 9.31524i | 0.336135 | + | 0.582202i | ||||
\(257\) | 0.825796 | + | 3.08191i | 0.0515117 | + | 0.192244i | 0.986887 | − | 0.161412i | \(-0.0516048\pi\) |
−0.935375 | + | 0.353657i | \(0.884938\pi\) | |||||||
\(258\) | −8.68212 | − | 6.81725i | −0.540525 | − | 0.424423i | ||||
\(259\) | 10.3024 | + | 11.9407i | 0.640160 | + | 0.741959i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4.87016 | + | 1.42214i | 0.301455 | + | 0.0880284i | ||||
\(262\) | 10.2068 | − | 38.0923i | 0.630578 | − | 2.35335i | ||||
\(263\) | −7.08487 | + | 26.4411i | −0.436872 | + | 1.63043i | 0.299675 | + | 0.954041i | \(0.403122\pi\) |
−0.736547 | + | 0.676387i | \(0.763545\pi\) | |||||||
\(264\) | −17.0213 | − | 7.27398i | −1.04759 | − | 0.447682i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −24.7093 | + | 4.70795i | −1.51502 | + | 0.288663i | ||||
\(267\) | −3.75840 | + | 4.78651i | −0.230010 | + | 0.292930i | ||||
\(268\) | 0.466825 | + | 1.74221i | 0.0285159 | + | 0.106423i | ||||
\(269\) | 2.40139 | + | 4.15933i | 0.146415 | + | 0.253599i | 0.929900 | − | 0.367812i | \(-0.119893\pi\) |
−0.783485 | + | 0.621411i | \(0.786560\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.25232 | + | 5.63318i | −0.197564 | + | 0.342191i | −0.947738 | − | 0.319049i | \(-0.896636\pi\) |
0.750174 | + | 0.661241i | \(0.229970\pi\) | |||||||
\(272\) | −1.14312 | + | 1.14312i | −0.0693117 | + | 0.0693117i | ||||
\(273\) | −6.24114 | − | 3.22843i | −0.377731 | − | 0.195393i | ||||
\(274\) | − | 12.1568i | − | 0.734418i | ||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 13.7624 | − | 10.3184i | 0.828398 | − | 0.621093i | ||||
\(277\) | 0.317168 | − | 1.18369i | 0.0190568 | − | 0.0711210i | −0.955743 | − | 0.294204i | \(-0.904945\pi\) |
0.974799 | + | 0.223083i | \(0.0716121\pi\) | |||||||
\(278\) | 13.8570 | − | 3.71297i | 0.831087 | − | 0.222689i | ||||
\(279\) | 0.754419 | + | 3.08969i | 0.0451659 | + | 0.184975i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 12.8585i | − | 0.767073i | −0.923526 | − | 0.383537i | \(-0.874706\pi\) | ||
0.923526 | − | 0.383537i | \(-0.125294\pi\) | |||||||
\(282\) | 19.0905 | − | 7.65917i | 1.13682 | − | 0.456097i | ||||
\(283\) | −1.40336 | − | 0.376029i | −0.0834209 | − | 0.0223526i | 0.216867 | − | 0.976201i | \(-0.430416\pi\) |
−0.300288 | + | 0.953849i | \(0.597083\pi\) | |||||||
\(284\) | 7.13942 | + | 12.3658i | 0.423647 | + | 0.733778i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −15.4801 | −0.915355 | ||||||||
\(287\) | 13.9179 | − | 6.72445i | 0.821550 | − | 0.396932i | ||||
\(288\) | 16.6046 | + | 10.0872i | 0.978435 | + | 0.594393i | ||||
\(289\) | −10.8269 | − | 6.25090i | −0.636875 | − | 0.367700i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −8.23539 | − | 10.9842i | −0.482767 | − | 0.643903i | ||||
\(292\) | −12.9084 | + | 3.45879i | −0.755407 | + | 0.202411i | ||||
\(293\) | 1.33304 | + | 1.33304i | 0.0778769 | + | 0.0778769i | 0.744972 | − | 0.667095i | \(-0.232463\pi\) |
−0.667095 | + | 0.744972i | \(0.732463\pi\) | |||||||
\(294\) | −23.2349 | − | 14.2742i | −1.35509 | − | 0.832488i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 12.2907 | + | 7.09604i | 0.714383 | + | 0.412449i | ||||
\(297\) | −23.2131 | + | 2.26886i | −1.34696 | + | 0.131653i | ||||
\(298\) | −24.0841 | − | 6.45333i | −1.39516 | − | 0.373831i | ||||
\(299\) | 2.48933 | − | 4.31165i | 0.143962 | − | 0.249349i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.07955 | − | 2.46710i | −0.408059 | − | 0.142201i | ||||
\(302\) | 16.7773 | − | 16.7773i | 0.965427 | − | 0.965427i | ||||
\(303\) | 21.2668 | − | 8.53230i | 1.22175 | − | 0.490168i | ||||
\(304\) | 2.79034 | − | 1.61100i | 0.160037 | − | 0.0923973i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 4.01131 | − | 13.7368i | 0.229311 | − | 0.785282i | ||||
\(307\) | −9.34919 | − | 9.34919i | −0.533586 | − | 0.533586i | 0.388051 | − | 0.921638i | \(-0.373148\pi\) |
−0.921638 | + | 0.388051i | \(0.873148\pi\) | |||||||
\(308\) | −36.2252 | − | 2.66816i | −2.06412 | − | 0.152033i | ||||
\(309\) | −0.728794 | − | 6.05718i | −0.0414596 | − | 0.344581i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −6.28291 | + | 3.62744i | −0.356271 | + | 0.205693i | −0.667444 | − | 0.744660i | \(-0.732612\pi\) |
0.311173 | + | 0.950353i | \(0.399278\pi\) | |||||||
\(312\) | −6.25959 | − | 0.895242i | −0.354379 | − | 0.0506831i | ||||
\(313\) | −5.79157 | − | 21.6144i | −0.327359 | − | 1.22172i | −0.911919 | − | 0.410369i | \(-0.865400\pi\) |
0.584561 | − | 0.811350i | \(-0.301267\pi\) | |||||||
\(314\) | 7.49546 | 0.422993 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −20.4263 | −1.14907 | ||||||||
\(317\) | −5.22742 | − | 19.5090i | −0.293601 | − | 1.09573i | −0.942322 | − | 0.334708i | \(-0.891362\pi\) |
0.648721 | − | 0.761026i | \(-0.275304\pi\) | |||||||
\(318\) | 33.3237 | + | 4.76593i | 1.86870 | + | 0.267260i | ||||
\(319\) | 6.57412 | − | 3.79557i | 0.368080 | − | 0.212511i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.92472 | + | 15.9968i | 0.107427 | + | 0.892854i | ||||
\(322\) | 10.8636 | − | 15.9778i | 0.605406 | − | 0.890409i | ||||
\(323\) | −6.33935 | − | 6.33935i | −0.352731 | − | 0.352731i | ||||
\(324\) | −27.4999 | − | 1.22800i | −1.52777 | − | 0.0682220i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 13.9121 | − | 8.03218i | 0.770522 | − | 0.444861i | ||||
\(327\) | −30.3745 | + | 12.1863i | −1.67971 | + | 0.673905i | ||||
\(328\) | 9.83578 | − | 9.83578i | 0.543090 | − | 0.543090i | ||||
\(329\) | 10.5773 | − | 9.12608i | 0.583147 | − | 0.503137i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.14089 | + | 5.44018i | −0.172639 | + | 0.299019i | −0.939342 | − | 0.342983i | \(-0.888563\pi\) |
0.766703 | + | 0.642002i | \(0.221896\pi\) | |||||||
\(332\) | 46.2570 | + | 12.3945i | 2.53868 | + | 0.680237i | ||||
\(333\) | 17.8780 | + | 0.398969i | 0.979709 | + | 0.0218634i | ||||
\(334\) | 32.7917 | + | 18.9323i | 1.79428 | + | 1.03593i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 3.41213 | + | 0.747191i | 0.186147 | + | 0.0407626i | ||||
\(337\) | 21.9068 | + | 21.9068i | 1.19334 | + | 1.19334i | 0.976123 | + | 0.217217i | \(0.0696980\pi\) |
0.217217 | + | 0.976123i | \(0.430302\pi\) | |||||||
\(338\) | 23.1345 | − | 6.19887i | 1.25835 | − | 0.337174i | ||||
\(339\) | −12.7428 | − | 16.9960i | −0.692092 | − | 0.923095i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.12112 | + | 2.37933i | 0.223171 | + | 0.128848i | ||||
\(342\) | −14.8084 | + | 24.3762i | −0.800746 | + | 1.31811i | ||||
\(343\) | −18.0716 | − | 4.05191i | −0.975774 | − | 0.218783i | ||||
\(344\) | −6.74660 | −0.363752 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.0706711 | − | 0.122406i | −0.00379930 | − | 0.00658058i | ||||
\(347\) | −2.64806 | − | 0.709546i | −0.142155 | − | 0.0380904i | 0.187040 | − | 0.982352i | \(-0.440111\pi\) |
−0.329195 | + | 0.944262i | \(0.606777\pi\) | |||||||
\(348\) | 8.31501 | − | 3.33601i | 0.445731 | − | 0.178829i | ||||
\(349\) | − | 21.9804i | − | 1.17658i | −0.808650 | − | 0.588291i | \(-0.799801\pi\) | ||
0.808650 | − | 0.588291i | \(-0.200199\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −7.45895 | + | 2.80102i | −0.398129 | + | 0.149507i | ||||
\(352\) | 28.0786 | − | 7.52365i | 1.49660 | − | 0.401012i | ||||
\(353\) | 2.35901 | − | 8.80395i | 0.125558 | − | 0.468587i | −0.874301 | − | 0.485383i | \(-0.838680\pi\) |
0.999859 | + | 0.0167963i | \(0.00534668\pi\) | |||||||
\(354\) | −14.6578 | + | 10.9897i | −0.779051 | + | 0.584095i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 10.7467i | 0.569572i | ||||||||
\(357\) | −0.449073 | − | 9.70880i | −0.0237674 | − | 0.513844i | ||||
\(358\) | −31.6729 | + | 31.6729i | −1.67396 | + | 1.67396i | ||||
\(359\) | 9.46634 | − | 16.3962i | 0.499614 | − | 0.865357i | −0.500386 | − | 0.865803i | \(-0.666808\pi\) |
1.00000 | 0.000445509i | \(0.000141810\pi\) | ||||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.565929 | − | 0.980219i | −0.0297858 | − | 0.0515905i | ||||
\(362\) | −7.61821 | − | 28.4315i | −0.400404 | − | 1.49433i | ||||
\(363\) | −9.78532 | + | 12.4621i | −0.513596 | + | 0.654091i | ||||
\(364\) | −12.1890 | + | 2.32242i | −0.638877 | + | 0.121728i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 27.8573 | + | 11.9047i | 1.45612 | + | 0.622267i | ||||
\(367\) | 0.722084 | − | 2.69485i | 0.0376925 | − | 0.140670i | −0.944515 | − | 0.328467i | \(-0.893468\pi\) |
0.982208 | + | 0.187797i | \(0.0601347\pi\) | |||||||
\(368\) | −0.640550 | + | 2.39057i | −0.0333910 | + | 0.124617i | ||||
\(369\) | 4.91288 | − | 16.8243i | 0.255754 | − | 0.875837i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 22.4585 | − | 4.27910i | 1.16599 | − | 0.222160i | ||||
\(372\) | 4.41729 | + | 3.46848i | 0.229026 | + | 0.179832i | ||||
\(373\) | 3.15087 | + | 11.7592i | 0.163146 | + | 0.608870i | 0.998269 | + | 0.0588067i | \(0.0187296\pi\) |
−0.835123 | + | 0.550063i | \(0.814604\pi\) | |||||||
\(374\) | −10.7058 | − | 18.5430i | −0.553585 | − | 0.958837i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.28582 | − | 10.8874i | 0.324166 | − | 0.561473i | ||||
\(377\) | 1.83366 | − | 1.83366i | 0.0944381 | − | 0.0944381i | ||||
\(378\) | −29.6670 | + | 8.71452i | −1.52590 | + | 0.448226i | ||||
\(379\) | 13.7261i | 0.705060i | 0.935800 | + | 0.352530i | \(0.114679\pi\) | ||||
−0.935800 | + | 0.352530i | \(0.885321\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 9.00108 | + | 12.0054i | 0.461139 | + | 0.615056i | ||||
\(382\) | −6.72786 | + | 25.1087i | −0.344227 | + | 1.28467i | ||||
\(383\) | 32.9294 | − | 8.82340i | 1.68261 | − | 0.450855i | 0.714146 | − | 0.699997i | \(-0.246815\pi\) |
0.968467 | + | 0.249142i | \(0.0801487\pi\) | |||||||
\(384\) | 28.1663 | − | 3.38894i | 1.43736 | − | 0.172941i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 31.6538i | − | 1.61114i | ||||||
\(387\) | −7.45501 | + | 4.08515i | −0.378960 | + | 0.207660i | ||||
\(388\) | −23.4169 | − | 6.27453i | −1.18881 | − | 0.318541i | ||||
\(389\) | 17.0556 | + | 29.5411i | 0.864751 | + | 1.49779i | 0.867294 | + | 0.497796i | \(0.165857\pi\) |
−0.00254324 | + | 0.999997i | \(0.500810\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.88637 | 0.348259 | ||||||||
\(392\) | −16.5566 | + | 1.90834i | −0.836236 | + | 0.0963858i | ||||
\(393\) | −23.8861 | − | 18.7555i | −1.20489 | − | 0.946089i | ||||
\(394\) | 47.8597 | + | 27.6318i | 2.41114 | + | 1.39207i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −29.7659 | + | 28.4664i | −1.49579 | + | 1.43049i | ||||
\(397\) | −13.5700 | + | 3.63606i | −0.681057 | + | 0.182489i | −0.582730 | − | 0.812666i | \(-0.698016\pi\) |
−0.0983265 | + | 0.995154i | \(0.531349\pi\) | |||||||
\(398\) | 22.9983 | + | 22.9983i | 1.15280 | + | 1.15280i | ||||
\(399\) | −4.14367 | + | 18.9225i | −0.207443 | + | 0.947310i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −15.1489 | − | 8.74623i | −0.756501 | − | 0.436766i | 0.0715372 | − | 0.997438i | \(-0.477210\pi\) |
−0.828038 | + | 0.560672i | \(0.810543\pi\) | |||||||
\(402\) | 2.27413 | + | 0.325245i | 0.113423 | + | 0.0162217i | ||||
\(403\) | 1.57020 | + | 0.420734i | 0.0782172 | + | 0.0209582i | ||||
\(404\) | 20.2321 | − | 35.0431i | 1.00659 | − | 1.74346i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 7.61955 | − | 6.57412i | 0.378152 | − | 0.326268i | ||||
\(407\) | 18.9194 | − | 18.9194i | 0.937799 | − | 0.937799i | ||||
\(408\) | −3.25668 | − | 8.11729i | −0.161230 | − | 0.401866i | ||||
\(409\) | −11.6480 | + | 6.72496i | −0.575955 | + | 0.332528i | −0.759524 | − | 0.650479i | \(-0.774568\pi\) |
0.183569 | + | 0.983007i | \(0.441235\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −8.60878 | − | 3.67892i | −0.424640 | − | 0.181468i | ||||
\(412\) | −7.61791 | − | 7.61791i | −0.375308 | − | 0.375308i | ||||
\(413\) | −6.99584 | + | 10.2892i | −0.344243 | + | 0.506300i | ||||
\(414\) | −5.19671 | − | 21.2829i | −0.255404 | − | 1.04600i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 8.59981 | − | 4.96511i | 0.421641 | − | 0.243434i | ||||
\(417\) | 1.56412 | − | 10.9364i | 0.0765951 | − | 0.535558i | ||||
\(418\) | 11.0450 | + | 41.2205i | 0.540229 | + | 2.01616i | ||||
\(419\) | 35.0036 | 1.71004 | 0.855018 | − | 0.518598i | \(-0.173546\pi\) | ||||
0.855018 | + | 0.518598i | \(0.173546\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.4231 | 0.507989 | 0.253995 | − | 0.967206i | \(-0.418255\pi\) | ||||
0.253995 | + | 0.967206i | \(0.418255\pi\) | |||||||
\(422\) | 7.36369 | + | 27.4817i | 0.358459 | + | 1.33779i | ||||
\(423\) | 0.353415 | − | 15.8367i | 0.0171836 | − | 0.770008i | ||||
\(424\) | 17.8174 | − | 10.2869i | 0.865292 | − | 0.499576i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 18.0562 | − | 2.17251i | 0.874827 | − | 0.105258i | ||||
\(427\) | 20.5192 | + | 1.51134i | 0.992995 | + | 0.0731390i | ||||
\(428\) | 20.1186 | + | 20.1186i | 0.972471 | + | 0.972471i | ||||
\(429\) | −4.68462 | + | 10.9621i | −0.226175 | + | 0.529257i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −13.7352 | + | 7.93000i | −0.661600 | + | 0.381975i | −0.792886 | − | 0.609370i | \(-0.791423\pi\) |
0.131287 | + | 0.991344i | \(0.458089\pi\) | |||||||
\(432\) | 3.22113 | − | 2.30461i | 0.154977 | − | 0.110880i | ||||
\(433\) | 25.6695 | − | 25.6695i | 1.23360 | − | 1.23360i | 0.271024 | − | 0.962572i | \(-0.412638\pi\) |
0.962572 | − | 0.271024i | \(-0.0873624\pi\) | |||||||
\(434\) | 5.95724 | + | 2.07599i | 0.285956 | + | 0.0996506i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −28.8967 | + | 50.0505i | −1.38390 | + | 2.39699i | ||||
\(437\) | −13.2573 | − | 3.55227i | −0.634181 | − | 0.169928i | ||||
\(438\) | −2.40980 | + | 16.8495i | −0.115145 | + | 0.805099i | ||||
\(439\) | −18.5791 | − | 10.7267i | −0.886734 | − | 0.511956i | −0.0138613 | − | 0.999904i | \(-0.504412\pi\) |
−0.872873 | + | 0.487948i | \(0.837746\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −17.1396 | + | 12.1340i | −0.816172 | + | 0.577809i | ||||
\(442\) | −5.17203 | − | 5.17203i | −0.246009 | − | 0.246009i | ||||
\(443\) | −22.1872 | + | 5.94505i | −1.05415 | + | 0.282458i | −0.743965 | − | 0.668219i | \(-0.767057\pi\) |
−0.310183 | + | 0.950677i | \(0.600390\pi\) | |||||||
\(444\) | 25.2656 | − | 18.9429i | 1.19905 | − | 0.898990i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 41.2866 | + | 23.8368i | 1.95498 | + | 1.12871i | ||||
\(447\) | −11.8583 | + | 15.1022i | −0.560879 | + | 0.714308i | ||||
\(448\) | 31.0677 | − | 15.0104i | 1.46781 | − | 0.709173i | ||||
\(449\) | −16.0964 | −0.759636 | −0.379818 | − | 0.925061i | \(-0.624013\pi\) | ||||
−0.379818 | + | 0.925061i | \(0.624013\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −13.1120 | − | 22.7107i | −0.617421 | − | 1.06940i | ||||
\(452\) | −36.2333 | − | 9.70868i | −1.70427 | − | 0.456658i | ||||
\(453\) | −6.80360 | − | 16.9580i | −0.319661 | − | 0.796756i | ||||
\(454\) | − | 34.1770i | − | 1.60400i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 2.08235 | + | 17.3069i | 0.0975150 | + | 0.810470i | ||||
\(457\) | −17.6588 | + | 4.73167i | −0.826045 | + | 0.221338i | −0.646988 | − | 0.762500i | \(-0.723972\pi\) |
−0.179058 | + | 0.983839i | \(0.557305\pi\) | |||||||
\(458\) | −6.46946 | + | 24.1444i | −0.302298 | + | 1.12819i | ||||
\(459\) | −8.51377 | − | 6.99767i | −0.397389 | − | 0.326623i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 11.0171i | − | 0.513119i | −0.966528 | − | 0.256560i | \(-0.917411\pi\) | ||
0.966528 | − | 0.256560i | \(-0.0825890\pi\) | |||||||
\(462\) | −21.2559 | + | 41.0915i | −0.988914 | + | 1.91175i | ||||
\(463\) | 16.6150 | − | 16.6150i | 0.772166 | − | 0.772166i | −0.206319 | − | 0.978485i | \(-0.566148\pi\) |
0.978485 | + | 0.206319i | \(0.0661485\pi\) | |||||||
\(464\) | −0.644536 | + | 1.11637i | −0.0299219 | + | 0.0518262i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −10.4192 | − | 18.0466i | −0.482661 | − | 0.835993i | ||||
\(467\) | 5.25552 | + | 19.6139i | 0.243196 | + | 0.907621i | 0.974281 | + | 0.225335i | \(0.0723476\pi\) |
−0.731085 | + | 0.682286i | \(0.760986\pi\) | |||||||
\(468\) | −7.30493 | + | 12.0247i | −0.337670 | + | 0.555842i | ||||
\(469\) | 1.53265 | − | 0.292022i | 0.0707712 | − | 0.0134843i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.26830 | − | 5.30788i | 0.104518 | − | 0.244574i | ||||
\(472\) | −2.89792 | + | 10.8152i | −0.133388 | + | 0.497810i | ||||
\(473\) | −3.29198 | + | 12.2858i | −0.151365 | + | 0.564903i | ||||
\(474\) | −10.2235 | + | 23.9233i | −0.469580 | + | 1.09883i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −11.2117 | − | 12.9946i | −0.513888 | − | 0.595608i | ||||
\(477\) | 13.4595 | − | 22.1558i | 0.616267 | − | 1.01444i | ||||
\(478\) | 14.0960 | + | 52.6069i | 0.644734 | + | 2.40618i | ||||
\(479\) | −2.76000 | − | 4.78046i | −0.126108 | − | 0.218425i | 0.796058 | − | 0.605221i | \(-0.206915\pi\) |
−0.922165 | + | 0.386796i | \(0.873582\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.57002 | − | 7.91551i | 0.208375 | − | 0.360916i | ||||
\(482\) | 16.1055 | − | 16.1055i | 0.733585 | − | 0.733585i | ||||
\(483\) | −8.02705 | − | 12.5283i | −0.365243 | − | 0.570056i | ||||
\(484\) | 27.9799i | 1.27181i | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −15.2021 | + | 31.5932i | −0.689581 | + | 1.43310i | ||||
\(487\) | −2.21452 | + | 8.26468i | −0.100349 | + | 0.374509i | −0.997776 | − | 0.0666548i | \(-0.978767\pi\) |
0.897427 | + | 0.441163i | \(0.145434\pi\) | |||||||
\(488\) | 17.8842 | − | 4.79207i | 0.809582 | − | 0.216927i | ||||
\(489\) | −1.47782 | − | 12.2825i | −0.0668295 | − | 0.555436i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 6.00183i | − | 0.270859i | −0.990787 | − | 0.135429i | \(-0.956759\pi\) | ||
0.990787 | − | 0.135429i | \(-0.0432414\pi\) | |||||||
\(492\) | −11.5244 | − | 28.7247i | −0.519562 | − | 1.29501i | ||||
\(493\) | 3.46461 | + | 0.928340i | 0.156038 | + | 0.0418103i | ||||
\(494\) | 7.28897 | + | 12.6249i | 0.327946 | + | 0.568020i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.808083 | −0.0362840 | ||||||||
\(497\) | 11.1215 | − | 5.37335i | 0.498868 | − | 0.241028i | ||||
\(498\) | 37.6684 | − | 47.9726i | 1.68796 | − | 2.14971i | ||||
\(499\) | 18.3533 | + | 10.5963i | 0.821605 | + | 0.474354i | 0.850970 | − | 0.525215i | \(-0.176015\pi\) |
−0.0293648 | + | 0.999569i | \(0.509348\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 23.3304 | − | 17.4920i | 1.04232 | − | 0.781485i | ||||
\(502\) | 47.2262 | − | 12.6542i | 2.10781 | − | 0.564786i | ||||
\(503\) | −20.3830 | − | 20.3830i | −0.908834 | − | 0.908834i | 0.0873440 | − | 0.996178i | \(-0.472162\pi\) |
−0.996178 | + | 0.0873440i | \(0.972162\pi\) | |||||||
\(504\) | −10.9715 | + | 15.3867i | −0.488711 | + | 0.685378i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −28.3878 | − | 16.3897i | −1.26199 | − | 0.728611i | ||||
\(507\) | 2.61132 | − | 18.2585i | 0.115973 | − | 0.810890i | ||||
\(508\) | 25.5941 | + | 6.85791i | 1.13555 | + | 0.304270i | ||||
\(509\) | −1.72032 | + | 2.97968i | −0.0762518 | + | 0.132072i | −0.901630 | − | 0.432508i | \(-0.857629\pi\) |
0.825378 | + | 0.564580i | \(0.190962\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.16364 | + | 11.3557i | 0.0957140 | + | 0.502346i | ||||
\(512\) | −6.05700 | + | 6.05700i | −0.267684 | + | 0.267684i | ||||
\(513\) | 12.7806 | + | 17.8633i | 0.564275 | + | 0.788684i | ||||
\(514\) | 6.21472 | − | 3.58807i | 0.274120 | − | 0.158263i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −5.89904 | + | 13.8039i | −0.259691 | + | 0.607684i | ||||
\(517\) | −16.7592 | − | 16.7592i | −0.737068 | − | 0.737068i | ||||
\(518\) | 19.9439 | − | 29.3328i | 0.876284 | − | 1.28881i | ||||
\(519\) | −0.108068 | + | 0.0130026i | −0.00474366 | + | 0.000570752i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 10.4103 | − | 6.01040i | 0.456084 | − | 0.263320i | −0.254312 | − | 0.967122i | \(-0.581849\pi\) |
0.710396 | + | 0.703802i | \(0.248516\pi\) | |||||||
\(522\) | 0.254588 | − | 11.4082i | 0.0111430 | − | 0.499325i | ||||
\(523\) | 4.72205 | + | 17.6229i | 0.206481 | + | 0.770597i | 0.988993 | + | 0.147962i | \(0.0472713\pi\) |
−0.782512 | + | 0.622635i | \(0.786062\pi\) | |||||||
\(524\) | −53.6289 | −2.34279 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 61.5673 | 2.68446 | ||||||||
\(527\) | 0.581949 | + | 2.17186i | 0.0253501 | + | 0.0946079i | ||||
\(528\) | 0.838997 | − | 5.86632i | 0.0365127 | − | 0.255299i | ||||
\(529\) | −10.7886 | + | 6.22878i | −0.469068 | + | 0.270817i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.34653 | + | 13.7056i | 0.145227 | + | 0.594770i | ||||
\(532\) | 14.8810 | + | 30.8000i | 0.645174 | + | 1.33535i | ||||
\(533\) | −6.33448 | − | 6.33448i | −0.274377 | − | 0.274377i | ||||
\(534\) | 12.5865 | + | 5.37878i | 0.544671 | + | 0.232762i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 1.21593 | − | 0.702016i | 0.0525201 | − | 0.0303225i | ||||
\(537\) | 12.8441 | + | 32.0140i | 0.554263 | + | 1.38150i | ||||
\(538\) | 7.63822 | − | 7.63822i | 0.329307 | − | 0.329307i | ||||
\(539\) | −4.60358 | + | 31.0815i | −0.198290 | + | 1.33877i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −13.7503 | + | 23.8162i | −0.591172 | + | 1.02394i | 0.402903 | + | 0.915243i | \(0.368001\pi\) |
−0.994075 | + | 0.108697i | \(0.965332\pi\) | |||||||
\(542\) | 14.1313 | + | 3.78646i | 0.606990 | + | 0.162643i | ||||
\(543\) | −22.4391 | − | 3.20923i | −0.962955 | − | 0.137721i | ||||
\(544\) | 11.8951 | + | 6.86762i | 0.509997 | + | 0.294447i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −3.38066 | + | 15.4382i | −0.144679 | + | 0.660692i | ||||
\(547\) | −28.4753 | − | 28.4753i | −1.21751 | − | 1.21751i | −0.968500 | − | 0.249014i | \(-0.919893\pi\) |
−0.249014 | − | 0.968500i | \(-0.580107\pi\) | |||||||
\(548\) | −15.9687 | + | 4.27879i | −0.682147 | + | 0.182781i | ||||
\(549\) | 16.8605 | − | 16.1244i | 0.719588 | − | 0.688172i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.19101 | − | 3.57438i | −0.263746 | − | 0.152274i | ||||
\(552\) | −10.5312 | − | 8.26914i | −0.448237 | − | 0.351958i | ||||
\(553\) | −1.29791 | + | 17.6215i | −0.0551928 | + | 0.749342i | ||||
\(554\) | −2.75618 | −0.117099 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.75441 | − | 16.8951i | −0.413679 | − | 0.716513i | ||||
\(557\) | −5.56648 | − | 1.49153i | −0.235859 | − | 0.0631983i | 0.138953 | − | 0.990299i | \(-0.455626\pi\) |
−0.374812 | + | 0.927101i | \(0.622293\pi\) | |||||||
\(558\) | 6.27317 | − | 3.43754i | 0.265565 | − | 0.145522i | ||||
\(559\) | 4.34497i | 0.183773i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −16.3710 | + | 1.96974i | −0.691184 | + | 0.0831626i | ||||
\(562\) | −27.9350 | + | 7.48515i | −1.17837 | + | 0.315742i | ||||
\(563\) | −3.52788 | + | 13.1662i | −0.148682 | + | 0.554890i | 0.850882 | + | 0.525358i | \(0.176068\pi\) |
−0.999564 | + | 0.0295322i | \(0.990598\pi\) | |||||||
\(564\) | −16.7800 | − | 22.3808i | −0.706566 | − | 0.942400i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 3.26768i | 0.137351i | ||||||||
\(567\) | −2.80675 | + | 23.6458i | −0.117872 | + | 0.993029i | ||||
\(568\) | 7.85955 | − | 7.85955i | 0.329779 | − | 0.329779i | ||||
\(569\) | −7.70038 | + | 13.3375i | −0.322817 | + | 0.559135i | −0.981068 | − | 0.193663i | \(-0.937963\pi\) |
0.658251 | + | 0.752798i | \(0.271296\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.9476 | + | 34.5503i | 0.834782 | + | 1.44589i | 0.894207 | + | 0.447653i | \(0.147740\pi\) |
−0.0594250 | + | 0.998233i | \(0.518927\pi\) | |||||||
\(572\) | 5.44847 | + | 20.3340i | 0.227812 | + | 0.850206i | ||||
\(573\) | 15.7446 | + | 12.3628i | 0.657741 | + | 0.516462i | ||||
\(574\) | −22.7107 | − | 26.3222i | −0.947926 | − | 1.09867i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 10.9666 | − | 37.5552i | 0.456940 | − | 1.56480i | ||||
\(577\) | −9.68219 | + | 36.1344i | −0.403075 | + | 1.50430i | 0.404504 | + | 0.914536i | \(0.367444\pi\) |
−0.807579 | + | 0.589760i | \(0.799223\pi\) | |||||||
\(578\) | −7.27751 | + | 27.1600i | −0.302705 | + | 1.12971i | ||||
\(579\) | −22.4155 | − | 9.57917i | −0.931558 | − | 0.398097i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 13.6318 | − | 39.1178i | 0.565543 | − | 1.62288i | ||||
\(582\) | −19.0690 | + | 24.2854i | −0.790437 | + | 1.00666i | ||||
\(583\) | −10.0389 | − | 37.4657i | −0.415769 | − | 1.55167i | ||||
\(584\) | 5.20137 | + | 9.00904i | 0.215234 | + | 0.372797i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.12003 | − | 3.67200i | 0.0875776 | − | 0.151689i | ||||
\(587\) | 6.77064 | − | 6.77064i | 0.279454 | − | 0.279454i | −0.553437 | − | 0.832891i | \(-0.686684\pi\) |
0.832891 | + | 0.553437i | \(0.186684\pi\) | |||||||
\(588\) | −10.5721 | + | 35.5444i | −0.435986 | + | 1.46583i | ||||
\(589\) | − | 4.48135i | − | 0.184651i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 34.0508 | − | 25.5296i | 1.40066 | − | 1.05015i | ||||
\(592\) | −1.17595 | + | 4.38871i | −0.0483312 | + | 0.180375i | ||||
\(593\) | −10.1211 | + | 2.71193i | −0.415622 | + | 0.111366i | −0.460569 | − | 0.887624i | \(-0.652355\pi\) |
0.0449473 | + | 0.998989i | \(0.485688\pi\) | |||||||
\(594\) | 18.4418 | + | 49.1095i | 0.756677 | + | 2.01499i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 33.9073i | 1.38890i | ||||||||
\(597\) | 23.2460 | − | 9.32636i | 0.951396 | − | 0.381703i | ||||
\(598\) | −10.8161 | − | 2.89817i | −0.442303 | − | 0.118515i | ||||
\(599\) | 9.01460 | + | 15.6137i | 0.368327 | + | 0.637960i | 0.989304 | − | 0.145868i | \(-0.0465975\pi\) |
−0.620978 | + | 0.783828i | \(0.713264\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.2303 | −0.417304 | −0.208652 | − | 0.977990i | \(-0.566908\pi\) | ||||
−0.208652 | + | 0.977990i | \(0.566908\pi\) | |||||||
\(602\) | −1.23861 | + | 16.8164i | −0.0504821 | + | 0.685386i | ||||
\(603\) | 0.918525 | − | 1.51199i | 0.0374052 | − | 0.0615730i | ||||
\(604\) | −27.9431 | − | 16.1330i | −1.13699 | − | 0.656440i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −30.9161 | − | 41.2352i | −1.25588 | − | 1.67506i | ||||
\(607\) | −5.38723 | + | 1.44350i | −0.218661 | + | 0.0585900i | −0.366486 | − | 0.930423i | \(-0.619439\pi\) |
0.147825 | + | 0.989013i | \(0.452773\pi\) | |||||||
\(608\) | −19.3571 | − | 19.3571i | −0.785035 | − | 0.785035i | ||||
\(609\) | −2.34959 | − | 7.38523i | −0.0952100 | − | 0.299265i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −7.01172 | − | 4.04822i | −0.283664 | − | 0.163773i | ||||
\(612\) | −19.4560 | − | 0.434184i | −0.786462 | − | 0.0175508i | ||||
\(613\) | −6.27411 | − | 1.68114i | −0.253409 | − | 0.0679007i | 0.129878 | − | 0.991530i | \(-0.458541\pi\) |
−0.383287 | + | 0.923629i | \(0.625208\pi\) | |||||||
\(614\) | −14.8687 | + | 25.7534i | −0.600052 | + | 1.03932i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.29217 | + | 27.7755i | 0.213228 | + | 1.11911i | ||||
\(617\) | −14.3669 | + | 14.3669i | −0.578389 | + | 0.578389i | −0.934459 | − | 0.356070i | \(-0.884116\pi\) |
0.356070 | + | 0.934459i | \(0.384116\pi\) | |||||||
\(618\) | −12.7349 | + | 5.10929i | −0.512274 | + | 0.205526i | ||||
\(619\) | 29.1112 | − | 16.8074i | 1.17008 | − | 0.675546i | 0.216381 | − | 0.976309i | \(-0.430575\pi\) |
0.953699 | + | 0.300763i | \(0.0972414\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −16.6441 | − | 2.76066i | −0.667903 | − | 0.110782i | ||||
\(622\) | 11.5380 | + | 11.5380i | 0.462631 | + | 0.462631i | ||||
\(623\) | 9.27101 | + | 0.682856i | 0.371435 | + | 0.0273580i | ||||
\(624\) | −0.241826 | − | 2.00987i | −0.00968078 | − | 0.0804592i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −43.5858 | + | 25.1643i | −1.74204 | + | 1.00577i | ||||
\(627\) | 32.5326 | + | 4.65279i | 1.29923 | + | 0.185815i | ||||
\(628\) | −2.63816 | − | 9.84574i | −0.105274 | − | 0.392888i | ||||
\(629\) | 12.6423 | 0.504081 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.20858 | 0.207350 | 0.103675 | − | 0.994611i | \(-0.466940\pi\) | ||||
0.103675 | + | 0.994611i | \(0.466940\pi\) | |||||||
\(632\) | 4.11533 | + | 15.3586i | 0.163699 | + | 0.610933i | ||||
\(633\) | 21.6894 | + | 3.10201i | 0.862078 | + | 0.123294i | ||||
\(634\) | −39.3402 | + | 22.7131i | −1.56240 | + | 0.902050i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −5.46851 | − | 45.4501i | −0.216841 | − | 1.80221i | ||||
\(637\) | 1.22902 | + | 10.6629i | 0.0486955 | + | 0.422478i | ||||
\(638\) | −12.0728 | − | 12.0728i | −0.477965 | − | 0.477965i | ||||
\(639\) | 3.92577 | − | 13.4439i | 0.155301 | − | 0.531832i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −28.8032 | + | 16.6295i | −1.13766 | + | 0.656828i | −0.945850 | − | 0.324605i | \(-0.894769\pi\) |
−0.191809 | + | 0.981432i | \(0.561435\pi\) | |||||||
\(642\) | 33.6325 | − | 13.4935i | 1.32737 | − | 0.532544i | ||||
\(643\) | 6.90737 | − | 6.90737i | 0.272400 | − | 0.272400i | −0.557666 | − | 0.830066i | \(-0.688303\pi\) |
0.830066 | + | 0.557666i | \(0.188303\pi\) | |||||||
\(644\) | −24.8114 | − | 8.64634i | −0.977708 | − | 0.340713i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −10.0819 | + | 17.4624i | −0.396668 | + | 0.687050i | ||||
\(647\) | −41.4091 | − | 11.0955i | −1.62796 | − | 0.436210i | −0.674632 | − | 0.738154i | \(-0.735698\pi\) |
−0.953326 | + | 0.301944i | \(0.902365\pi\) | |||||||
\(648\) | 4.61713 | + | 20.9247i | 0.181378 | + | 0.822000i | ||||
\(649\) | 18.2809 | + | 10.5545i | 0.717587 | + | 0.414299i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 3.27290 | − | 3.59035i | 0.128275 | − | 0.140717i | ||||
\(652\) | −15.4474 | − | 15.4474i | −0.604965 | − | 0.604965i | ||||
\(653\) | −2.13627 | + | 0.572412i | −0.0835988 | + | 0.0224002i | −0.300376 | − | 0.953821i | \(-0.597112\pi\) |
0.216777 | + | 0.976221i | \(0.430445\pi\) | |||||||
\(654\) | 44.1562 | + | 58.8944i | 1.72664 | + | 2.30296i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 3.85657 | + | 2.22659i | 0.150574 | + | 0.0869338i | ||||
\(657\) | 11.2026 | + | 6.80552i | 0.437056 | + | 0.265509i | ||||
\(658\) | −25.9836 | − | 17.6667i | −1.01295 | − | 0.688720i | ||||
\(659\) | 3.05561 | 0.119030 | 0.0595149 | − | 0.998227i | \(-0.481045\pi\) | ||||
0.0595149 | + | 0.998227i | \(0.481045\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.6893 | + | 21.9785i | 0.493557 | + | 0.854865i | 0.999972 | − | 0.00742420i | \(-0.00236322\pi\) |
−0.506416 | + | 0.862289i | \(0.669030\pi\) | |||||||
\(662\) | 13.6471 | + | 3.65673i | 0.530410 | + | 0.142123i | ||||
\(663\) | −5.22773 | + | 2.09738i | −0.203028 | + | 0.0814555i | ||||
\(664\) | − | 37.2780i | − | 1.44667i | ||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −9.54035 | − | 39.0721i | −0.369681 | − | 1.51401i | ||||
\(667\) | 5.30402 | − | 1.42121i | 0.205373 | − | 0.0550294i | ||||
\(668\) | 13.3271 | − | 49.7375i | 0.515642 | − | 1.92440i | ||||
\(669\) | 29.3742 | − | 22.0234i | 1.13567 | − | 0.851473i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 34.9062i | − | 1.34754i | ||||||
\(672\) | −1.37124 | − | 29.6457i | −0.0528967 | − | 1.14361i | ||||
\(673\) | −20.5391 | + | 20.5391i | −0.791722 | + | 0.791722i | −0.981774 | − | 0.190052i | \(-0.939134\pi\) |
0.190052 | + | 0.981774i | \(0.439134\pi\) | |||||||
\(674\) | 34.8401 | − | 60.3447i | 1.34199 | − | 2.32439i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −16.2852 | − | 28.2067i | −0.626353 | − | 1.08487i | ||||
\(677\) | 0.649513 | + | 2.42401i | 0.0249628 | + | 0.0931624i | 0.977283 | − | 0.211937i | \(-0.0679771\pi\) |
−0.952321 | + | 0.305099i | \(0.901310\pi\) | |||||||
\(678\) | −29.5058 | + | 37.5772i | −1.13316 | + | 1.44314i | ||||
\(679\) | −6.90090 | + | 19.8027i | −0.264832 | + | 0.759960i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −24.2023 | − | 10.3427i | −0.927433 | − | 0.396334i | ||||
\(682\) | 2.77010 | − | 10.3382i | 0.106073 | − | 0.395869i | ||||
\(683\) | 1.78477 | − | 6.66085i | 0.0682923 | − | 0.254870i | −0.923336 | − | 0.383992i | \(-0.874549\pi\) |
0.991629 | + | 0.129121i | \(0.0412157\pi\) | |||||||
\(684\) | 37.2317 | + | 10.8721i | 1.42359 | + | 0.415704i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 1.71704 | + | 41.6191i | 0.0655570 | + | 1.58902i | ||||
\(687\) | 15.1399 | + | 11.8880i | 0.577624 | + | 0.453554i | ||||
\(688\) | −0.559020 | − | 2.08629i | −0.0213124 | − | 0.0795391i | ||||
\(689\) | −6.62501 | − | 11.4749i | −0.252393 | − | 0.437157i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.7110 | − | 39.3365i | 0.863965 | − | 1.49643i | −0.00410532 | − | 0.999992i | \(-0.501307\pi\) |
0.868071 | − | 0.496440i | \(-0.165360\pi\) | |||||||
\(692\) | −0.135914 | + | 0.135914i | −0.00516666 | + | 0.00516666i | ||||
\(693\) | 22.6663 | + | 27.4875i | 0.861020 | + | 1.04416i | ||||
\(694\) | 6.16593i | 0.234056i | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −4.18361 | − | 5.57999i | −0.158579 | − | 0.211509i | ||||
\(697\) | 3.20701 | − | 11.9687i | 0.121474 | − | 0.453347i | ||||
\(698\) | −47.7521 | + | 12.7951i | −1.80745 | + | 0.484304i | ||||
\(699\) | −15.9327 | + | 1.91701i | −0.602631 | + | 0.0725080i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 39.7345i | 1.50075i | 0.661011 | + | 0.750377i | \(0.270128\pi\) | ||||
−0.661011 | + | 0.750377i | \(0.729872\pi\) | |||||||
\(702\) | 10.4272 | + | 14.5740i | 0.393548 | + | 0.550060i | ||||
\(703\) | −24.3383 | − | 6.52142i | −0.917935 | − | 0.245960i | ||||
\(704\) | −29.2687 | − | 50.6950i | −1.10311 | − | 1.91064i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −20.4997 | −0.771518 | ||||||||
\(707\) | −28.9457 | − | 19.6807i | −1.08861 | − | 0.740168i | ||||
\(708\) | 19.5946 | + | 15.3858i | 0.736412 | + | 0.578235i | ||||
\(709\) | −33.3407 | − | 19.2493i | −1.25214 | − | 0.722921i | −0.280603 | − | 0.959824i | \(-0.590534\pi\) |
−0.971533 | + | 0.236903i | \(0.923868\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 13.8473 | + | 14.4794i | 0.519314 | + | 0.543022i | ||||
\(712\) | 8.08047 | − | 2.16516i | 0.302828 | − | 0.0811426i | ||||
\(713\) | 2.43402 | + | 2.43402i | 0.0911549 | + | 0.0911549i | ||||
\(714\) | −20.8309 | + | 6.62727i | −0.779576 | + | 0.248019i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 52.7520 | + | 30.4564i | 1.97144 | + | 1.13821i | ||||
\(717\) | 41.5191 | + | 5.93803i | 1.55056 | + | 0.221760i | ||||
\(718\) | −41.1311 | − | 11.0210i | −1.53500 | − | 0.411302i | ||||
\(719\) | −8.52509 | + | 14.7659i | −0.317932 | + | 0.550675i | −0.980056 | − | 0.198719i | \(-0.936322\pi\) |
0.662124 | + | 0.749394i | \(0.269655\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −7.05593 | + | 6.08783i | −0.262777 | + | 0.226723i | ||||
\(722\) | −1.80008 | + | 1.80008i | −0.0669920 | + | 0.0669920i | ||||
\(723\) | −6.53115 | − | 16.2789i | −0.242896 | − | 0.605420i | ||||
\(724\) | −34.6652 | + | 20.0139i | −1.28832 | + | 0.743812i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 32.7701 | + | 14.0041i | 1.21621 | + | 0.519742i | ||||
\(727\) | −2.20359 | − | 2.20359i | −0.0817265 | − | 0.0817265i | 0.665062 | − | 0.746788i | \(-0.268405\pi\) |
−0.746788 | + | 0.665062i | \(0.768405\pi\) | |||||||
\(728\) | 4.20199 | + | 8.69707i | 0.155736 | + | 0.322335i | ||||
\(729\) | 17.7721 | + | 20.3261i | 0.658227 | + | 0.752820i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −5.20469 | + | 3.00493i | −0.192503 | + | 0.111141i | ||||
\(732\) | 5.83265 | − | 40.7822i | 0.215581 | − | 1.50736i | ||||
\(733\) | 5.73337 | + | 21.3972i | 0.211767 | + | 0.790325i | 0.987280 | + | 0.158993i | \(0.0508248\pi\) |
−0.775513 | + | 0.631332i | \(0.782509\pi\) | |||||||
\(734\) | −6.27489 | −0.231610 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 21.0275 | 0.775083 | ||||||||
\(737\) | −0.685093 | − | 2.55680i | −0.0252357 | − | 0.0941810i | ||||
\(738\) | −39.4105 | − | 0.879492i | −1.45072 | − | 0.0323745i | ||||
\(739\) | 27.9866 | − | 16.1581i | 1.02950 | − | 0.594384i | 0.112661 | − | 0.993634i | \(-0.464063\pi\) |
0.916842 | + | 0.399250i | \(0.130729\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 11.1461 | − | 1.34108i | 0.409461 | − | 0.0492659i | ||||
\(742\) | −22.3698 | − | 46.2999i | −0.821221 | − | 1.69972i | ||||
\(743\) | 19.2303 | + | 19.2303i | 0.705491 | + | 0.705491i | 0.965584 | − | 0.260093i | \(-0.0837531\pi\) |
−0.260093 | + | 0.965584i | \(0.583753\pi\) | |||||||
\(744\) | 1.71801 | − | 4.02019i | 0.0629852 | − | 0.147387i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 23.7126 | − | 13.6905i | 0.868182 | − | 0.501245i | ||||
\(747\) | −22.5723 | − | 41.1923i | −0.825878 | − | 1.50715i | ||||
\(748\) | −20.5893 | + | 20.5893i | −0.752818 | + | 0.752818i | ||||
\(749\) | 18.6345 | − | 16.0777i | 0.680889 | − | 0.587468i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.57272 | − | 13.1163i | 0.276332 | − | 0.478622i | −0.694138 | − | 0.719842i | \(-0.744214\pi\) |
0.970470 | + | 0.241220i | \(0.0775476\pi\) | |||||||
\(752\) | 3.88761 | + | 1.04168i | 0.141766 | + | 0.0379862i | ||||
\(753\) | 5.33069 | − | 37.2725i | 0.194261 | − | 1.35829i | ||||
\(754\) | −5.05101 | − | 2.91620i | −0.183947 | − | 0.106202i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 21.8888 | + | 35.9021i | 0.796089 | + | 1.30575i | ||||
\(757\) | 14.0801 | + | 14.0801i | 0.511751 | + | 0.511751i | 0.915063 | − | 0.403312i | \(-0.132141\pi\) |
−0.403312 | + | 0.915063i | \(0.632141\pi\) | |||||||
\(758\) | 29.8198 | − | 7.99018i | 1.08310 | − | 0.290216i | ||||
\(759\) | −20.1971 | + | 15.1428i | −0.733108 | + | 0.549649i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 5.22504 | + | 3.01668i | 0.189407 | + | 0.109354i | 0.591705 | − | 0.806154i | \(-0.298455\pi\) |
−0.402298 | + | 0.915509i | \(0.631788\pi\) | |||||||
\(762\) | 20.8420 | − | 26.5433i | 0.755026 | − | 0.961564i | ||||
\(763\) | 41.3418 | + | 28.1091i | 1.49668 | + | 1.01762i | ||||
\(764\) | 35.3498 | 1.27891 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −38.3375 | − | 66.4026i | −1.38519 | − | 2.39922i | ||||
\(767\) | 6.96524 | + | 1.86633i | 0.251500 | + | 0.0673893i | ||||
\(768\) | −6.93711 | − | 17.2908i | −0.250321 | − | 0.623927i | ||||
\(769\) | 1.18821i | 0.0428478i | 0.999770 | + | 0.0214239i | \(0.00681996\pi\) | ||||
−0.999770 | + | 0.0214239i | \(0.993180\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.660162 | − | 5.48676i | −0.0237752 | − | 0.197601i | ||||
\(772\) | −41.5792 | + | 11.1411i | −1.49647 | + | 0.400977i | ||||
\(773\) | 9.44244 | − | 35.2397i | 0.339621 | − | 1.26748i | −0.559151 | − | 0.829066i | \(-0.688873\pi\) |
0.898772 | − | 0.438416i | \(-0.144461\pi\) | |||||||
\(774\) | 13.2147 | + | 13.8179i | 0.474991 | + | 0.496675i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 18.8714i | 0.677444i | ||||||||
\(777\) | −14.7364 | − | 22.9999i | −0.528666 | − | 0.825119i | ||||
\(778\) | 54.2495 | − | 54.2495i | 1.94494 | − | 1.94494i | ||||
\(779\) | −12.3479 | + | 21.3872i | −0.442410 | + | 0.766277i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.4775 | − | 18.1476i | −0.374915 | − | 0.649372i | ||||
\(782\) | −4.00868 | − | 14.9606i | −0.143350 | − | 0.534989i | ||||
\(783\) | −8.00165 | − | 3.63268i | −0.285956 | − | 0.129821i | ||||
\(784\) | −1.96200 | − | 4.96179i | −0.0700716 | − | 0.177207i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −26.8417 | + | 62.8102i | −0.957410 | + | 2.24037i | ||||
\(787\) | 12.6671 | − | 47.2742i | 0.451533 | − | 1.68514i | −0.246552 | − | 0.969130i | \(-0.579298\pi\) |
0.698085 | − | 0.716015i | \(-0.254036\pi\) | |||||||
\(788\) | 19.4510 | − | 72.5920i | 0.692912 | − | 2.58598i | ||||
\(789\) | 18.6317 | − | 43.5986i | 0.663305 | − | 1.55215i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −10.6779 | + | 30.6411i | −0.379661 | + | 1.08947i | ||||
\(792\) | 27.4011 | + | 16.6460i | 0.973655 | + | 0.591489i | ||||
\(793\) | −3.08621 | − | 11.5179i | −0.109594 | − | 0.409012i | ||||
\(794\) | 15.7986 | + | 27.3640i | 0.560672 | + | 0.971113i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 22.1150 | − | 38.3044i | 0.783846 | − | 1.35766i | ||||
\(797\) | 22.7608 | − | 22.7608i | 0.806231 | − | 0.806231i | −0.177831 | − | 0.984061i | \(-0.556908\pi\) |
0.984061 | + | 0.177831i | \(0.0569079\pi\) | |||||||
\(798\) | 43.5211 | − | 2.01303i | 1.54063 | − | 0.0712606i | ||||
\(799\) | − | 11.1988i | − | 0.396185i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 7.61792 | − | 7.28533i | 0.269166 | − | 0.257415i | ||||
\(802\) | −10.1827 | + | 38.0022i | −0.359563 | + | 1.34191i | ||||
\(803\) | 18.9438 | − | 5.07598i | 0.668513 | − | 0.179127i | ||||
\(804\) | −0.373192 | − | 3.10168i | −0.0131614 | − | 0.109388i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | − | 3.65616i | − | 0.128783i | ||||||
\(807\) | −3.09748 | − | 7.72048i | −0.109036 | − | 0.271774i | ||||
\(808\) | −30.4253 | − | 8.15243i | −1.07036 | − | 0.286802i | ||||
\(809\) | −18.2238 | − | 31.5645i | −0.640714 | − | 1.10975i | −0.985274 | − | 0.170985i | \(-0.945305\pi\) |
0.344559 | − | 0.938765i | \(-0.388028\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −44.6773 | −1.56883 | −0.784416 | − | 0.620236i | \(-0.787037\pi\) | ||||
−0.784416 | + | 0.620236i | \(0.787037\pi\) | |||||||
\(812\) | −11.3173 | − | 7.69486i | −0.397160 | − | 0.270037i | ||||
\(813\) | 6.95782 | − | 8.86114i | 0.244021 | − | 0.310774i | ||||
\(814\) | −52.1155 | − | 30.0889i | −1.82665 | − | 1.05462i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 2.24031 | − | 1.67968i | 0.0784266 | − | 0.0588005i | ||||
\(817\) | 11.5699 | − | 3.10014i | 0.404778 | − | 0.108460i | ||||
\(818\) | 21.3904 | + | 21.3904i | 0.747898 | + | 0.747898i | ||||
\(819\) | 9.90940 | + | 7.06594i | 0.346263 | + | 0.246904i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 15.1484 | + | 8.74591i | 0.528682 | + | 0.305235i | 0.740479 | − | 0.672079i | \(-0.234598\pi\) |
−0.211798 | + | 0.977314i | \(0.567932\pi\) | |||||||
\(822\) | −2.98110 | + | 20.8441i | −0.103978 | + | 0.727020i | ||||
\(823\) | 20.5744 | + | 5.51289i | 0.717178 | + | 0.192167i | 0.598912 | − | 0.800815i | \(-0.295600\pi\) |
0.118266 | + | 0.992982i | \(0.462266\pi\) | |||||||
\(824\) | −4.19315 | + | 7.26275i | −0.146075 | + | 0.253010i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 26.4257 | + | 9.20886i | 0.919467 | + | 0.320417i | ||||
\(827\) | −2.51526 | + | 2.51526i | −0.0874643 | + | 0.0874643i | −0.749485 | − | 0.662021i | \(-0.769699\pi\) |
0.662021 | + | 0.749485i | \(0.269699\pi\) | |||||||
\(828\) | −26.1273 | + | 14.3171i | −0.907987 | + | 0.497553i | ||||
\(829\) | −46.6309 | + | 26.9224i | −1.61956 | + | 0.935053i | −0.632525 | + | 0.774540i | \(0.717981\pi\) |
−0.987034 | + | 0.160513i | \(0.948685\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −0.834084 | + | 1.95178i | −0.0289341 | + | 0.0677065i | ||||
\(832\) | −14.1399 | − | 14.1399i | −0.490212 | − | 0.490212i | ||||
\(833\) | −11.9227 | + | 8.84652i | −0.413098 | + | 0.306514i | ||||
\(834\) | −24.6697 | + | 2.96824i | −0.854243 | + | 0.102782i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 50.2582 | − | 29.0166i | 1.73821 | − | 1.00356i | ||||
\(837\) | −0.535872 | − | 5.48260i | −0.0185224 | − | 0.189506i | ||||
\(838\) | −20.3762 | − | 76.0450i | −0.703884 | − | 2.62693i | ||||
\(839\) | −0.570619 | −0.0196999 | −0.00984997 | − | 0.999951i | \(-0.503135\pi\) | ||||
−0.00984997 | + | 0.999951i | \(0.503135\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −26.1399 | −0.901376 | ||||||||
\(842\) | −6.06745 | − | 22.6440i | −0.209098 | − | 0.780365i | ||||
\(843\) | −3.15318 | + | 22.0472i | −0.108601 | + | 0.759347i | ||||
\(844\) | 33.5070 | − | 19.3453i | 1.15336 | − | 0.665892i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −34.6109 | + | 8.45104i | −1.18995 | + | 0.290553i | ||||
\(847\) | 24.1379 | + | 1.77788i | 0.829388 | + | 0.0610886i | ||||
\(848\) | 4.65743 | + | 4.65743i | 0.159937 | + | 0.159937i | ||||
\(849\) | 2.31399 | + | 0.988873i | 0.0794160 | + | 0.0339380i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 16.7613 | − | 9.67713i | 0.574569 | − | 0.331728i | ||||
\(852\) | −9.20891 | − | 22.9533i | −0.315492 | − | 0.786366i | ||||
\(853\) | 22.3992 | − | 22.3992i | 0.766933 | − | 0.766933i | −0.210632 | − | 0.977565i | \(-0.567552\pi\) |
0.977565 | + | 0.210632i | \(0.0675523\pi\) | |||||||
\(854\) | −8.66122 | − | 45.4576i | −0.296381 | − | 1.55553i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 11.0740 | − | 19.1807i | 0.378500 | − | 0.655582i | ||||
\(857\) | −37.1296 | − | 9.94884i | −1.26832 | − | 0.339846i | −0.438934 | − | 0.898519i | \(-0.644644\pi\) |
−0.829388 | + | 0.558673i | \(0.811311\pi\) | |||||||
\(858\) | 26.5422 | + | 3.79604i | 0.906134 | + | 0.129595i | ||||
\(859\) | 18.7844 | + | 10.8452i | 0.640916 | + | 0.370033i | 0.784967 | − | 0.619537i | \(-0.212680\pi\) |
−0.144051 | + | 0.989570i | \(0.546013\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −25.5127 | + | 8.11679i | −0.869472 | + | 0.276619i | ||||
\(862\) | 25.2233 | + | 25.2233i | 0.859111 | + | 0.859111i | ||||
\(863\) | −25.8676 | + | 6.93121i | −0.880545 | + | 0.235941i | −0.670642 | − | 0.741781i | \(-0.733981\pi\) |
−0.209903 | + | 0.977722i | \(0.567315\pi\) | |||||||
\(864\) | −25.9967 | − | 21.3673i | −0.884426 | − | 0.726931i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −70.7094 | − | 40.8241i | −2.40280 | − | 1.38726i | ||||
\(867\) | 17.0309 | + | 13.3728i | 0.578401 | + | 0.454164i | ||||
\(868\) | 0.630182 | − | 8.55586i | 0.0213898 | − | 0.290405i | ||||
\(869\) | 29.9767 | 1.01689 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.452115 | − | 0.783087i | −0.0153193 | − | 0.0265339i | ||||
\(872\) | 43.4551 | + | 11.6438i | 1.47158 | + | 0.394308i | ||||
\(873\) | 11.4269 | + | 20.8530i | 0.386741 | + | 0.705766i | ||||
\(874\) | 30.8692i | 1.04416i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 22.9810 | − | 2.76505i | 0.776454 | − | 0.0934223i | ||||
\(877\) | −18.1696 | + | 4.86854i | −0.613545 | + | 0.164399i | −0.552192 | − | 0.833717i | \(-0.686208\pi\) |
−0.0613532 | + | 0.998116i | \(0.519542\pi\) | |||||||
\(878\) | −12.4884 | + | 46.6072i | −0.421462 | + | 1.57292i | ||||
\(879\) | −1.95874 | − | 2.61252i | −0.0660667 | − | 0.0881182i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 36.9520i | 1.24495i | 0.782642 | + | 0.622473i | \(0.213872\pi\) | ||||
−0.782642 | + | 0.622473i | \(0.786128\pi\) | |||||||
\(882\) | 36.3383 | + | 30.1723i | 1.22357 | + | 1.01595i | ||||
\(883\) | −33.9375 | + | 33.9375i | −1.14209 | + | 1.14209i | −0.154022 | + | 0.988067i | \(0.549223\pi\) |
−0.988067 | + | 0.154022i | \(0.950777\pi\) | |||||||
\(884\) | −4.97339 | + | 8.61416i | −0.167273 | + | 0.289726i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 25.8312 | + | 44.7409i | 0.867815 | + | 1.50310i | ||||
\(887\) | 1.93113 | + | 7.20707i | 0.0648410 | + | 0.241990i | 0.990738 | − | 0.135786i | \(-0.0433558\pi\) |
−0.925897 | + | 0.377775i | \(0.876689\pi\) | |||||||
\(888\) | −19.3336 | − | 15.1808i | −0.648793 | − | 0.509436i | ||||
\(889\) | 7.54251 | − | 21.6439i | 0.252968 | − | 0.725914i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 40.3576 | + | 1.80215i | 1.35203 | + | 0.0603745i | ||||
\(892\) | 16.7796 | − | 62.6222i | 0.561821 | − | 2.09675i | ||||
\(893\) | −5.77681 | + | 21.5593i | −0.193314 | + | 0.721456i | ||||
\(894\) | 39.7123 | + | 16.9708i | 1.32818 | + | 0.567590i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −28.3089 | − | 32.8106i | −0.945733 | − | 1.09613i | ||||
\(897\) | −5.32552 | + | 6.78233i | −0.177814 | + | 0.226455i | ||||
\(898\) | 9.37000 | + | 34.9693i | 0.312681 | + | 1.16694i | ||||
\(899\) | 0.896459 | + | 1.55271i | 0.0298986 | + | 0.0517858i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 9.16357 | − | 15.8718i | 0.305283 | − | 0.528765i | ||||
\(902\) | −41.7061 | + | 41.7061i | −1.38866 | + | 1.38866i | ||||
\(903\) | 11.5336 | + | 5.96615i | 0.383816 | + | 0.198541i | ||||
\(904\) | 29.2001i | 0.971179i | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −32.8806 | + | 24.6523i | −1.09239 | + | 0.819018i | ||||
\(907\) | 13.8468 | − | 51.6770i | 0.459776 | − | 1.71591i | −0.213879 | − | 0.976860i | \(-0.568610\pi\) |
0.673655 | − | 0.739046i | \(-0.264723\pi\) | |||||||
\(908\) | −44.8935 | + | 12.0292i | −1.48984 | + | 0.399202i | ||||
\(909\) | −38.5565 | + | 9.41444i | −1.27884 | + | 0.312257i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 25.7854i | 0.854307i | 0.904179 | + | 0.427154i | \(0.140484\pi\) | ||||
−0.904179 | + | 0.427154i | \(0.859516\pi\) | |||||||
\(912\) | −5.17938 | + | 2.07798i | −0.171506 | + | 0.0688088i | ||||
\(913\) | −67.8848 | − | 18.1897i | −2.24666 | − | 0.601990i | ||||
\(914\) | 20.5590 | + | 35.6093i | 0.680032 | + | 1.17785i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 33.9921 | 1.12313 | ||||||||
\(917\) | −3.40765 | + | 46.2650i | −0.112530 | + | 1.52781i | ||||
\(918\) | −10.2464 | + | 22.5696i | −0.338181 | + | 0.744906i | ||||
\(919\) | 0.740746 | + | 0.427670i | 0.0244350 | + | 0.0141075i | 0.512168 | − | 0.858885i | \(-0.328843\pi\) |
−0.487733 | + | 0.872993i | \(0.662176\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 13.7375 | + | 18.3228i | 0.452667 | + | 0.603756i | ||||
\(922\) | −23.9347 | + | 6.41327i | −0.788246 | + | 0.211210i | ||||
\(923\) | −5.06174 | − | 5.06174i | −0.166609 | − | 0.166609i | ||||
\(924\) | 61.4575 | + | 13.4580i | 2.02180 | + | 0.442737i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −45.7679 | − | 26.4241i | −1.50403 | − | 0.868351i | ||||
\(927\) | −0.235757 | + | 10.5644i | −0.00774326 | + | 0.346979i | ||||
\(928\) | 10.5792 | + | 2.83468i | 0.347278 | + | 0.0930528i | ||||
\(929\) | −22.5151 | + | 38.9973i | −0.738697 | + | 1.27946i | 0.214385 | + | 0.976749i | \(0.431225\pi\) |
−0.953082 | + | 0.302712i | \(0.902108\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 27.5164 | − | 10.8806i | 0.901813 | − | 0.356598i | ||||
\(932\) | −20.0381 | + | 20.0381i | −0.656369 | + | 0.656369i | ||||
\(933\) | 11.6622 | − | 4.67892i | 0.381804 | − | 0.153181i | ||||
\(934\) | 39.5516 | − | 22.8351i | 1.29417 | − | 0.747189i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 10.5132 | + | 3.06997i | 0.343634 | + | 0.100345i | ||||
\(937\) | 8.85926 | + | 8.85926i | 0.289419 | + | 0.289419i | 0.836851 | − | 0.547431i | \(-0.184394\pi\) |
−0.547431 | + | 0.836851i | \(0.684394\pi\) | |||||||
\(938\) | −1.52660 | − | 3.15968i | −0.0498452 | − | 0.103167i | ||||
\(939\) | 4.62992 | + | 38.4804i | 0.151092 | + | 1.25576i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −29.2694 | + | 16.8987i | −0.954155 | + | 0.550882i | −0.894369 | − | 0.447330i | \(-0.852375\pi\) |
−0.0597857 | + | 0.998211i | \(0.519042\pi\) | |||||||
\(942\) | −12.8517 | − | 1.83805i | −0.418733 | − | 0.0598868i | ||||
\(943\) | −4.90965 | − | 18.3231i | −0.159880 | − | 0.596681i | ||||
\(944\) | −3.58457 | −0.116668 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 28.6072 | 0.930100 | ||||||||
\(947\) | 2.98312 | + | 11.1331i | 0.0969382 | + | 0.361778i | 0.997306 | − | 0.0733510i | \(-0.0233693\pi\) |
−0.900368 | + | 0.435129i | \(0.856703\pi\) | |||||||
\(948\) | 35.0230 | + | 5.00896i | 1.13749 | + | 0.162683i | ||||
\(949\) | 5.80204 | − | 3.34981i | 0.188342 | − | 0.108739i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 4.17893 | + | 34.7321i | 0.135511 | + | 1.12626i | ||||
\(952\) | −7.51189 | + | 11.0482i | −0.243462 | + | 0.358075i | ||||
\(953\) | 7.06925 | + | 7.06925i | 0.228995 | + | 0.228995i | 0.812273 | − | 0.583278i | \(-0.198230\pi\) |
−0.583278 | + | 0.812273i | \(0.698230\pi\) | |||||||
\(954\) | −55.9682 | − | 16.3434i | −1.81204 | − | 0.529136i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 64.1409 | − | 37.0318i | 2.07447 | − | 1.19769i | ||||
\(957\) | −12.2028 | + | 4.89578i | −0.394459 | + | 0.158258i | ||||
\(958\) | −8.77886 | + | 8.77886i | −0.283632 | + | 0.283632i | ||||
\(959\) | 2.67659 | + | 14.0478i | 0.0864316 | + | 0.453629i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14.9380 | − | 25.8734i | 0.481872 | − | 0.834627i | ||||
\(962\) | −19.8567 | − | 5.32058i | −0.640205 | − | 0.171542i | ||||
\(963\) | 0.622625 | − | 27.9001i | 0.0200638 | − | 0.899069i | ||||
\(964\) | −26.8241 | − | 15.4869i | −0.863947 | − | 0.498800i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −22.5449 | + | 24.7316i | −0.725370 | + | 0.795727i | ||||
\(967\) | 26.2079 | + | 26.2079i | 0.842788 | + | 0.842788i | 0.989221 | − | 0.146433i | \(-0.0467792\pi\) |
−0.146433 | + | 0.989221i | \(0.546779\pi\) | |||||||
\(968\) | 21.0382 | − | 5.63718i | 0.676194 | − | 0.181186i | ||||
\(969\) | 9.31492 | + | 12.4240i | 0.299238 | + | 0.399117i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −29.2322 | − | 16.8772i | −0.938107 | − | 0.541617i | −0.0487408 | − | 0.998811i | \(-0.515521\pi\) |
−0.889367 | + | 0.457195i | \(0.848854\pi\) | |||||||
\(972\) | 46.8502 | + | 8.84908i | 1.50272 | + | 0.283834i | ||||
\(973\) | −15.1950 | + | 7.34147i | −0.487130 | + | 0.235357i | ||||
\(974\) | 19.2441 | 0.616620 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.96376 | + | 5.13339i | 0.0948677 | + | 0.164316i | ||||
\(977\) | 31.8405 | + | 8.53162i | 1.01867 | + | 0.272951i | 0.729246 | − | 0.684251i | \(-0.239871\pi\) |
0.289420 | + | 0.957202i | \(0.406538\pi\) | |||||||
\(978\) | −25.8235 | + | 10.3604i | −0.825744 | + | 0.331291i | ||||
\(979\) | − | 15.7713i | − | 0.504054i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 55.0685 | − | 13.4462i | 1.75820 | − | 0.429306i | ||||
\(982\) | −13.0389 | + | 3.49377i | −0.416089 | + | 0.111491i | ||||
\(983\) | −8.93338 | + | 33.3398i | −0.284931 | + | 1.06338i | 0.663960 | + | 0.747768i | \(0.268875\pi\) |
−0.948890 | + | 0.315607i | \(0.897792\pi\) | |||||||
\(984\) | −19.2764 | + | 14.4525i | −0.614510 | + | 0.460730i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | − | 8.06725i | − | 0.256913i | ||||||
\(987\) | −20.3738 | + | 13.0538i | −0.648506 | + | 0.415508i | ||||
\(988\) | 14.0180 | − | 14.0180i | 0.445973 | − | 0.445973i | ||||
\(989\) | −4.60029 | + | 7.96794i | −0.146281 | + | 0.253366i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.64010 | + | 8.03689i | 0.147398 | + | 0.255300i | 0.930265 | − | 0.366889i | \(-0.119577\pi\) |
−0.782867 | + | 0.622189i | \(0.786244\pi\) | |||||||
\(992\) | 1.77698 | + | 6.63177i | 0.0564191 | + | 0.210559i | ||||
\(993\) | 6.71943 | − | 8.55754i | 0.213235 | − | 0.271565i | ||||
\(994\) | −18.1476 | − | 21.0335i | −0.575607 | − | 0.667141i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −76.2730 | − | 32.5949i | −2.41680 | − | 1.03281i | ||||
\(997\) | −15.4926 | + | 57.8191i | −0.490655 | + | 1.83115i | 0.0624669 | + | 0.998047i | \(0.480103\pi\) |
−0.553121 | + | 0.833101i | \(0.686563\pi\) | |||||||
\(998\) | 12.3365 | − | 46.0406i | 0.390506 | − | 1.45739i | ||||
\(999\) | −30.5559 | − | 5.06815i | −0.966745 | − | 0.160349i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))