Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [867,2,Mod(616,867)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(867, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("867.616");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 867 = 3 \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 867.e (of order \(4\), degree \(2\), not 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: | \(6.92302985525\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(i)\) |
Coefficient field: | 8.0.5473632256.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 49x^{4} + 256 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 51) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 829.3 | ||
Root | \(1.10418 - 1.10418i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 867.829 |
Dual form | 867.2.e.f.616.1 |
$q$-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 \(\left(\mathbb{Z}/867\mathbb{Z}\right)^\times\).
\(n\) | \(290\) | \(292\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.56155i | 1.81129i | 0.424035 | + | 0.905646i | \(0.360613\pi\) | ||||
−0.424035 | + | 0.905646i | \(0.639387\pi\) | |||||||
\(3\) | −0.707107 | − | 0.707107i | −0.408248 | − | 0.408248i | ||||
\(4\) | −4.56155 | −2.28078 | ||||||||
\(5\) | −2.51840 | − | 2.51840i | −1.12626 | − | 1.12626i | −0.990780 | − | 0.135482i | \(-0.956742\pi\) |
−0.135482 | − | 0.990780i | \(-0.543258\pi\) | |||||||
\(6\) | 1.81129 | − | 1.81129i | 0.739457 | − | 0.739457i | ||||
\(7\) | 0 | 0 | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||||
0.707107 | + | 0.707107i | \(0.250000\pi\) | |||||||
\(8\) | − | 6.56155i | − | 2.31986i | ||||||
\(9\) | 1.00000i | 0.333333i | ||||||||
\(10\) | 6.45101 | − | 6.45101i | 2.03999 | − | 2.03999i | ||||
\(11\) | 1.10418 | − | 1.10418i | 0.332924 | − | 0.332924i | −0.520772 | − | 0.853696i | \(-0.674356\pi\) |
0.853696 | + | 0.520772i | \(0.174356\pi\) | |||||||
\(12\) | 3.22550 | + | 3.22550i | 0.931123 | + | 0.931123i | ||||
\(13\) | −0.438447 | −0.121603 | −0.0608017 | − | 0.998150i | \(-0.519366\pi\) | ||||
−0.0608017 | + | 0.998150i | \(0.519366\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.56155i | 0.919589i | ||||||||
\(16\) | 7.68466 | 1.92116 | ||||||||
\(17\) | 0 | 0 | ||||||||
\(18\) | −2.56155 | −0.603764 | ||||||||
\(19\) | 4.68466i | 1.07473i | 0.843348 | + | 0.537367i | \(0.180581\pi\) | ||||
−0.843348 | + | 0.537367i | \(0.819419\pi\) | |||||||
\(20\) | 11.4878 | + | 11.4878i | 2.56875 | + | 2.56875i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.82843 | + | 2.82843i | 0.603023 | + | 0.603023i | ||||
\(23\) | −1.72424 | + | 1.72424i | −0.359529 | + | 0.359529i | −0.863639 | − | 0.504110i | \(-0.831821\pi\) |
0.504110 | + | 0.863639i | \(0.331821\pi\) | |||||||
\(24\) | −4.63972 | + | 4.63972i | −0.947079 | + | 0.947079i | ||||
\(25\) | 7.68466i | 1.53693i | ||||||||
\(26\) | − | 1.12311i | − | 0.220259i | ||||||
\(27\) | 0.707107 | − | 0.707107i | 0.136083 | − | 0.136083i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.83095 | + | 5.83095i | 1.08278 | + | 1.08278i | 0.996249 | + | 0.0865315i | \(0.0275783\pi\) |
0.0865315 | + | 0.996249i | \(0.472422\pi\) | |||||||
\(30\) | −9.12311 | −1.66564 | ||||||||
\(31\) | 2.20837 | + | 2.20837i | 0.396635 | + | 0.396635i | 0.877044 | − | 0.480409i | \(-0.159512\pi\) |
−0.480409 | + | 0.877044i | \(0.659512\pi\) | |||||||
\(32\) | 6.56155i | 1.15993i | ||||||||
\(33\) | −1.56155 | −0.271831 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | − | 4.56155i | − | 0.760259i | ||||||
\(37\) | −3.62258 | − | 3.62258i | −0.595549 | − | 0.595549i | 0.343576 | − | 0.939125i | \(-0.388362\pi\) |
−0.939125 | + | 0.343576i | \(0.888362\pi\) | |||||||
\(38\) | −12.0000 | −1.94666 | ||||||||
\(39\) | 0.310029 | + | 0.310029i | 0.0496444 | + | 0.0496444i | ||||
\(40\) | −16.5246 | + | 16.5246i | −2.61277 | + | 2.61277i | ||||
\(41\) | 2.51840 | − | 2.51840i | 0.393308 | − | 0.393308i | −0.482557 | − | 0.875865i | \(-0.660292\pi\) |
0.875865 | + | 0.482557i | \(0.160292\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.68466i | 0.714404i | 0.934027 | + | 0.357202i | \(0.116269\pi\) | ||||
−0.934027 | + | 0.357202i | \(0.883731\pi\) | |||||||
\(44\) | −5.03680 | + | 5.03680i | −0.759326 | + | 0.759326i | ||||
\(45\) | 2.51840 | − | 2.51840i | 0.375421 | − | 0.375421i | ||||
\(46\) | −4.41674 | − | 4.41674i | −0.651213 | − | 0.651213i | ||||
\(47\) | 11.1231 | 1.62247 | 0.811236 | − | 0.584719i | \(-0.198795\pi\) | ||||
0.811236 | + | 0.584719i | \(0.198795\pi\) | |||||||
\(48\) | −5.43387 | − | 5.43387i | −0.784312 | − | 0.784312i | ||||
\(49\) | 7.00000i | 1.00000i | ||||||||
\(50\) | −19.6847 | −2.78383 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.00000 | 0.277350 | ||||||||
\(53\) | − | 12.2462i | − | 1.68215i | −0.540921 | − | 0.841073i | \(-0.681924\pi\) | ||
0.540921 | − | 0.841073i | \(-0.318076\pi\) | |||||||
\(54\) | 1.81129 | + | 1.81129i | 0.246486 | + | 0.246486i | ||||
\(55\) | −5.56155 | −0.749920 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.31255 | − | 3.31255i | 0.438758 | − | 0.438758i | ||||
\(58\) | −14.9363 | + | 14.9363i | −1.96123 | + | 1.96123i | ||||
\(59\) | 7.12311i | 0.927349i | 0.886006 | + | 0.463675i | \(0.153469\pi\) | ||||
−0.886006 | + | 0.463675i | \(0.846531\pi\) | |||||||
\(60\) | − | 16.2462i | − | 2.09738i | ||||||
\(61\) | −6.45101 | + | 6.45101i | −0.825967 | + | 0.825967i | −0.986956 | − | 0.160989i | \(-0.948532\pi\) |
0.160989 | + | 0.986956i | \(0.448532\pi\) | |||||||
\(62\) | −5.65685 | + | 5.65685i | −0.718421 | + | 0.718421i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.43845 | −0.179806 | ||||||||
\(65\) | 1.10418 | + | 1.10418i | 0.136957 | + | 0.136957i | ||||
\(66\) | − | 4.00000i | − | 0.492366i | ||||||
\(67\) | 4.00000 | 0.488678 | 0.244339 | − | 0.969690i | \(-0.421429\pi\) | ||||
0.244339 | + | 0.969690i | \(0.421429\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.43845 | 0.293555 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.41674 | − | 4.41674i | −0.524170 | − | 0.524170i | 0.394658 | − | 0.918828i | \(-0.370863\pi\) |
−0.918828 | + | 0.394658i | \(0.870863\pi\) | |||||||
\(72\) | 6.56155 | 0.773286 | ||||||||
\(73\) | 8.65938 | + | 8.65938i | 1.01350 | + | 1.01350i | 0.999908 | + | 0.0135961i | \(0.00432790\pi\) |
0.0135961 | + | 0.999908i | \(0.495672\pi\) | |||||||
\(74\) | 9.27944 | − | 9.27944i | 1.07871 | − | 1.07871i | ||||
\(75\) | 5.43387 | − | 5.43387i | 0.627450 | − | 0.627450i | ||||
\(76\) | − | 21.3693i | − | 2.45123i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −0.794156 | + | 0.794156i | −0.0899204 | + | 0.0899204i | ||||
\(79\) | −6.62511 | + | 6.62511i | −0.745383 | + | 0.745383i | −0.973608 | − | 0.228225i | \(-0.926708\pi\) |
0.228225 | + | 0.973608i | \(0.426708\pi\) | |||||||
\(80\) | −19.3530 | − | 19.3530i | −2.16373 | − | 2.16373i | ||||
\(81\) | −1.00000 | −0.111111 | ||||||||
\(82\) | 6.45101 | + | 6.45101i | 0.712395 | + | 0.712395i | ||||
\(83\) | 0.876894i | 0.0962517i | 0.998841 | + | 0.0481258i | \(0.0153248\pi\) | ||||
−0.998841 | + | 0.0481258i | \(0.984675\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −12.0000 | −1.29399 | ||||||||
\(87\) | − | 8.24621i | − | 0.884087i | ||||||
\(88\) | −7.24517 | − | 7.24517i | −0.772337 | − | 0.772337i | ||||
\(89\) | 1.12311 | 0.119049 | 0.0595245 | − | 0.998227i | \(-0.481042\pi\) | ||||
0.0595245 | + | 0.998227i | \(0.481042\pi\) | |||||||
\(90\) | 6.45101 | + | 6.45101i | 0.679996 | + | 0.679996i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 7.86522 | − | 7.86522i | 0.820006 | − | 0.820006i | ||||
\(93\) | − | 3.12311i | − | 0.323851i | ||||||
\(94\) | 28.4924i | 2.93877i | ||||||||
\(95\) | 11.7978 | − | 11.7978i | 1.21043 | − | 1.21043i | ||||
\(96\) | 4.63972 | − | 4.63972i | 0.473539 | − | 0.473539i | ||||
\(97\) | 2.03427 | + | 2.03427i | 0.206549 | + | 0.206549i | 0.802799 | − | 0.596250i | \(-0.203343\pi\) |
−0.596250 | + | 0.802799i | \(0.703343\pi\) | |||||||
\(98\) | −17.9309 | −1.81129 | ||||||||
\(99\) | 1.10418 | + | 1.10418i | 0.110975 | + | 0.110975i | ||||
\(100\) | − | 35.0540i | − | 3.50540i | ||||||
\(101\) | 10.8769 | 1.08229 | 0.541146 | − | 0.840929i | \(-0.317991\pi\) | ||||
0.541146 | + | 0.840929i | \(0.317991\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 16.6847 | 1.64399 | 0.821994 | − | 0.569496i | \(-0.192862\pi\) | ||||
0.821994 | + | 0.569496i | \(0.192862\pi\) | |||||||
\(104\) | 2.87689i | 0.282103i | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 31.3693 | 3.04686 | ||||||||
\(107\) | 3.31255 | + | 3.31255i | 0.320237 | + | 0.320237i | 0.848858 | − | 0.528621i | \(-0.177291\pi\) |
−0.528621 | + | 0.848858i | \(0.677291\pi\) | |||||||
\(108\) | −3.22550 | + | 3.22550i | −0.310374 | + | 0.310374i | ||||
\(109\) | 4.86270 | − | 4.86270i | 0.465762 | − | 0.465762i | −0.434776 | − | 0.900538i | \(-0.643173\pi\) |
0.900538 | + | 0.434776i | \(0.143173\pi\) | |||||||
\(110\) | − | 14.2462i | − | 1.35832i | ||||||
\(111\) | 5.12311i | 0.486264i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.310029 | + | 0.310029i | −0.0291651 | + | 0.0291651i | −0.721539 | − | 0.692374i | \(-0.756565\pi\) |
0.692374 | + | 0.721539i | \(0.256565\pi\) | |||||||
\(114\) | 8.48528 | + | 8.48528i | 0.794719 | + | 0.794719i | ||||
\(115\) | 8.68466 | 0.809849 | ||||||||
\(116\) | −26.5982 | − | 26.5982i | −2.46958 | − | 2.46958i | ||||
\(117\) | − | 0.438447i | − | 0.0405345i | ||||||
\(118\) | −18.2462 | −1.67970 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 23.3693 | 2.13332 | ||||||||
\(121\) | 8.56155i | 0.778323i | ||||||||
\(122\) | −16.5246 | − | 16.5246i | −1.49607 | − | 1.49607i | ||||
\(123\) | −3.56155 | −0.321134 | ||||||||
\(124\) | −10.0736 | − | 10.0736i | −0.904635 | − | 0.904635i | ||||
\(125\) | 6.76104 | − | 6.76104i | 0.604726 | − | 0.604726i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 19.8078i | 1.75765i | 0.477140 | + | 0.878827i | \(0.341674\pi\) | ||||
−0.477140 | + | 0.878827i | \(0.658326\pi\) | |||||||
\(128\) | 9.43845i | 0.834249i | ||||||||
\(129\) | 3.31255 | − | 3.31255i | 0.291654 | − | 0.291654i | ||||
\(130\) | −2.82843 | + | 2.82843i | −0.248069 | + | 0.248069i | ||||
\(131\) | −10.2095 | − | 10.2095i | −0.892010 | − | 0.892010i | 0.102702 | − | 0.994712i | \(-0.467251\pi\) |
−0.994712 | + | 0.102702i | \(0.967251\pi\) | |||||||
\(132\) | 7.12311 | 0.619987 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 10.2462i | 0.885138i | ||||||||
\(135\) | −3.56155 | −0.306530 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0.246211 | 0.0210352 | 0.0105176 | − | 0.999945i | \(-0.496652\pi\) | ||||
0.0105176 | + | 0.999945i | \(0.496652\pi\) | |||||||
\(138\) | 6.24621i | 0.531713i | ||||||||
\(139\) | −0.620058 | − | 0.620058i | −0.0525926 | − | 0.0525926i | 0.680321 | − | 0.732914i | \(-0.261840\pi\) |
−0.732914 | + | 0.680321i | \(0.761840\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −7.86522 | − | 7.86522i | −0.662371 | − | 0.662371i | ||||
\(142\) | 11.3137 | − | 11.3137i | 0.949425 | − | 0.949425i | ||||
\(143\) | −0.484127 | + | 0.484127i | −0.0404847 | + | 0.0404847i | ||||
\(144\) | 7.68466i | 0.640388i | ||||||||
\(145\) | − | 29.3693i | − | 2.43899i | ||||||
\(146\) | −22.1815 | + | 22.1815i | −1.83575 | + | 1.83575i | ||||
\(147\) | 4.94975 | − | 4.94975i | 0.408248 | − | 0.408248i | ||||
\(148\) | 16.5246 | + | 16.5246i | 1.35831 | + | 1.35831i | ||||
\(149\) | −12.2462 | −1.00325 | −0.501624 | − | 0.865086i | \(-0.667264\pi\) | ||||
−0.501624 | + | 0.865086i | \(0.667264\pi\) | |||||||
\(150\) | 13.9192 | + | 13.9192i | 1.13649 | + | 1.13649i | ||||
\(151\) | − | 8.00000i | − | 0.651031i | −0.945537 | − | 0.325515i | \(-0.894462\pi\) | ||
0.945537 | − | 0.325515i | \(-0.105538\pi\) | |||||||
\(152\) | 30.7386 | 2.49323 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | − | 11.1231i | − | 0.893429i | ||||||
\(156\) | −1.41421 | − | 1.41421i | −0.113228 | − | 0.113228i | ||||
\(157\) | −6.68466 | −0.533494 | −0.266747 | − | 0.963767i | \(-0.585949\pi\) | ||||
−0.266747 | + | 0.963767i | \(0.585949\pi\) | |||||||
\(158\) | −16.9706 | − | 16.9706i | −1.35011 | − | 1.35011i | ||||
\(159\) | −8.65938 | + | 8.65938i | −0.686733 | + | 0.686733i | ||||
\(160\) | 16.5246 | − | 16.5246i | 1.30638 | − | 1.30638i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | − | 2.56155i | − | 0.201255i | ||||||
\(163\) | 10.6937 | − | 10.6937i | 0.837591 | − | 0.837591i | −0.150950 | − | 0.988541i | \(-0.548233\pi\) |
0.988541 | + | 0.150950i | \(0.0482333\pi\) | |||||||
\(164\) | −11.4878 | + | 11.4878i | −0.897047 | + | 0.897047i | ||||
\(165\) | 3.93261 | + | 3.93261i | 0.306153 | + | 0.306153i | ||||
\(166\) | −2.24621 | −0.174340 | ||||||||
\(167\) | 14.0062 | + | 14.0062i | 1.08383 | + | 1.08383i | 0.996148 | + | 0.0876843i | \(0.0279467\pi\) |
0.0876843 | + | 0.996148i | \(0.472053\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.8078 | −0.985213 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.68466 | −0.358245 | ||||||||
\(172\) | − | 21.3693i | − | 1.62940i | ||||||
\(173\) | 1.27828 | + | 1.27828i | 0.0971860 | + | 0.0971860i | 0.754028 | − | 0.656842i | \(-0.228108\pi\) |
−0.656842 | + | 0.754028i | \(0.728108\pi\) | |||||||
\(174\) | 21.1231 | 1.60134 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 8.48528 | − | 8.48528i | 0.639602 | − | 0.639602i | ||||
\(177\) | 5.03680 | − | 5.03680i | 0.378589 | − | 0.378589i | ||||
\(178\) | 2.87689i | 0.215632i | ||||||||
\(179\) | − | 0.876894i | − | 0.0655422i | −0.999463 | − | 0.0327711i | \(-0.989567\pi\) | ||
0.999463 | − | 0.0327711i | \(-0.0104332\pi\) | |||||||
\(180\) | −11.4878 | + | 11.4878i | −0.856251 | + | 0.856251i | ||||
\(181\) | 4.24264 | − | 4.24264i | 0.315353 | − | 0.315353i | −0.531626 | − | 0.846979i | \(-0.678419\pi\) |
0.846979 | + | 0.531626i | \(0.178419\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 9.12311 | 0.674399 | ||||||||
\(184\) | 11.3137 | + | 11.3137i | 0.834058 | + | 0.834058i | ||||
\(185\) | 18.2462i | 1.34149i | ||||||||
\(186\) | 8.00000 | 0.586588 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −50.7386 | −3.70050 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 30.2208 | + | 30.2208i | 2.19245 | + | 2.19245i | ||||
\(191\) | 4.87689 | 0.352880 | 0.176440 | − | 0.984311i | \(-0.443542\pi\) | ||||
0.176440 | + | 0.984311i | \(0.443542\pi\) | |||||||
\(192\) | 1.01714 | + | 1.01714i | 0.0734055 | + | 0.0734055i | ||||
\(193\) | −5.48276 | + | 5.48276i | −0.394657 | + | 0.394657i | −0.876344 | − | 0.481686i | \(-0.840024\pi\) |
0.481686 | + | 0.876344i | \(0.340024\pi\) | |||||||
\(194\) | −5.21089 | + | 5.21089i | −0.374120 | + | 0.374120i | ||||
\(195\) | − | 1.56155i | − | 0.111825i | ||||||
\(196\) | − | 31.9309i | − | 2.28078i | ||||||
\(197\) | 6.31508 | − | 6.31508i | 0.449931 | − | 0.449931i | −0.445401 | − | 0.895331i | \(-0.646939\pi\) |
0.895331 | + | 0.445401i | \(0.146939\pi\) | |||||||
\(198\) | −2.82843 | + | 2.82843i | −0.201008 | + | 0.201008i | ||||
\(199\) | −11.3137 | − | 11.3137i | −0.802008 | − | 0.802008i | 0.181402 | − | 0.983409i | \(-0.441937\pi\) |
−0.983409 | + | 0.181402i | \(0.941937\pi\) | |||||||
\(200\) | 50.4233 | 3.56547 | ||||||||
\(201\) | −2.82843 | − | 2.82843i | −0.199502 | − | 0.199502i | ||||
\(202\) | 27.8617i | 1.96035i | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −12.6847 | −0.885935 | ||||||||
\(206\) | 42.7386i | 2.97774i | ||||||||
\(207\) | −1.72424 | − | 1.72424i | −0.119843 | − | 0.119843i | ||||
\(208\) | −3.36932 | −0.233620 | ||||||||
\(209\) | 5.17273 | + | 5.17273i | 0.357805 | + | 0.357805i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.45353 | + | 9.45353i | −0.650808 | + | 0.650808i | −0.953188 | − | 0.302379i | \(-0.902219\pi\) |
0.302379 | + | 0.953188i | \(0.402219\pi\) | |||||||
\(212\) | 55.8617i | 3.83660i | ||||||||
\(213\) | 6.24621i | 0.427983i | ||||||||
\(214\) | −8.48528 | + | 8.48528i | −0.580042 | + | 0.580042i | ||||
\(215\) | 11.7978 | − | 11.7978i | 0.804606 | − | 0.804606i | ||||
\(216\) | −4.63972 | − | 4.63972i | −0.315693 | − | 0.315693i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 12.4561 | + | 12.4561i | 0.843631 | + | 0.843631i | ||||
\(219\) | − | 12.2462i | − | 0.827522i | ||||||
\(220\) | 25.3693 | 1.71040 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −13.1231 | −0.880765 | ||||||||
\(223\) | 14.9309i | 0.999845i | 0.866070 | + | 0.499922i | \(0.166638\pi\) | ||||
−0.866070 | + | 0.499922i | \(0.833362\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −7.68466 | −0.512311 | ||||||||
\(226\) | −0.794156 | − | 0.794156i | −0.0528264 | − | 0.0528264i | ||||
\(227\) | −9.93766 | + | 9.93766i | −0.659586 | + | 0.659586i | −0.955282 | − | 0.295696i | \(-0.904448\pi\) |
0.295696 | + | 0.955282i | \(0.404448\pi\) | |||||||
\(228\) | −15.1104 | + | 15.1104i | −1.00071 | + | 1.00071i | ||||
\(229\) | 6.00000i | 0.396491i | 0.980152 | + | 0.198246i | \(0.0635244\pi\) | ||||
−0.980152 | + | 0.198246i | \(0.936476\pi\) | |||||||
\(230\) | 22.2462i | 1.46687i | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 38.2601 | − | 38.2601i | 2.51190 | − | 2.51190i | ||||
\(233\) | 2.51840 | + | 2.51840i | 0.164986 | + | 0.164986i | 0.784771 | − | 0.619786i | \(-0.212780\pi\) |
−0.619786 | + | 0.784771i | \(0.712780\pi\) | |||||||
\(234\) | 1.12311 | 0.0734197 | ||||||||
\(235\) | −28.0124 | − | 28.0124i | −1.82733 | − | 1.82733i | ||||
\(236\) | − | 32.4924i | − | 2.11508i | ||||||
\(237\) | 9.36932 | 0.608603 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −6.24621 | −0.404034 | −0.202017 | − | 0.979382i | \(-0.564750\pi\) | ||||
−0.202017 | + | 0.979382i | \(0.564750\pi\) | |||||||
\(240\) | 27.3693i | 1.76668i | ||||||||
\(241\) | 2.38247 | + | 2.38247i | 0.153468 | + | 0.153468i | 0.779665 | − | 0.626197i | \(-0.215389\pi\) |
−0.626197 | + | 0.779665i | \(0.715389\pi\) | |||||||
\(242\) | −21.9309 | −1.40977 | ||||||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | 29.4266 | − | 29.4266i | 1.88385 | − | 1.88385i | ||||
\(245\) | 17.6288 | − | 17.6288i | 1.12626 | − | 1.12626i | ||||
\(246\) | − | 9.12311i | − | 0.581668i | ||||||
\(247\) | − | 2.05398i | − | 0.130691i | ||||||
\(248\) | 14.4903 | − | 14.4903i | 0.920137 | − | 0.920137i | ||||
\(249\) | 0.620058 | − | 0.620058i | 0.0392946 | − | 0.0392946i | ||||
\(250\) | 17.3188 | + | 17.3188i | 1.09533 | + | 1.09533i | ||||
\(251\) | −8.49242 | −0.536037 | −0.268018 | − | 0.963414i | \(-0.586369\pi\) | ||||
−0.268018 | + | 0.963414i | \(0.586369\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.80776i | 0.239392i | ||||||||
\(254\) | −50.7386 | −3.18363 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −27.0540 | −1.69087 | ||||||||
\(257\) | 15.3693i | 0.958712i | 0.877621 | + | 0.479356i | \(0.159130\pi\) | ||||
−0.877621 | + | 0.479356i | \(0.840870\pi\) | |||||||
\(258\) | 8.48528 | + | 8.48528i | 0.528271 | + | 0.528271i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −5.03680 | − | 5.03680i | −0.312369 | − | 0.312369i | ||||
\(261\) | −5.83095 | + | 5.83095i | −0.360927 | + | 0.360927i | ||||
\(262\) | 26.1522 | − | 26.1522i | 1.61569 | − | 1.61569i | ||||
\(263\) | − | 20.4924i | − | 1.26362i | −0.775125 | − | 0.631808i | \(-0.782313\pi\) | ||
0.775125 | − | 0.631808i | \(-0.217687\pi\) | |||||||
\(264\) | 10.2462i | 0.630611i | ||||||||
\(265\) | −30.8408 | + | 30.8408i | −1.89454 | + | 1.89454i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.794156 | − | 0.794156i | −0.0486015 | − | 0.0486015i | ||||
\(268\) | −18.2462 | −1.11456 | ||||||||
\(269\) | 11.6237 | + | 11.6237i | 0.708712 | + | 0.708712i | 0.966264 | − | 0.257553i | \(-0.0829160\pi\) |
−0.257553 | + | 0.966264i | \(0.582916\pi\) | |||||||
\(270\) | − | 9.12311i | − | 0.555215i | ||||||
\(271\) | 19.8078 | 1.20324 | 0.601618 | − | 0.798784i | \(-0.294523\pi\) | ||||
0.601618 | + | 0.798784i | \(0.294523\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.630683i | 0.0381010i | ||||||||
\(275\) | 8.48528 | + | 8.48528i | 0.511682 | + | 0.511682i | ||||
\(276\) | −11.1231 | −0.669532 | ||||||||
\(277\) | −4.24264 | − | 4.24264i | −0.254916 | − | 0.254916i | 0.568067 | − | 0.822982i | \(-0.307691\pi\) |
−0.822982 | + | 0.568067i | \(0.807691\pi\) | |||||||
\(278\) | 1.58831 | − | 1.58831i | 0.0952606 | − | 0.0952606i | ||||
\(279\) | −2.20837 | + | 2.20837i | −0.132212 | + | 0.132212i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 10.8769i | − | 0.648861i | −0.945910 | − | 0.324431i | \(-0.894827\pi\) | ||
0.945910 | − | 0.324431i | \(-0.105173\pi\) | |||||||
\(282\) | 20.1472 | − | 20.1472i | 1.19975 | − | 1.19975i | ||||
\(283\) | 15.1104 | − | 15.1104i | 0.898219 | − | 0.898219i | −0.0970592 | − | 0.995279i | \(-0.530944\pi\) |
0.995279 | + | 0.0970592i | \(0.0309436\pi\) | |||||||
\(284\) | 20.1472 | + | 20.1472i | 1.19552 | + | 1.19552i | ||||
\(285\) | −16.6847 | −0.988314 | ||||||||
\(286\) | −1.24012 | − | 1.24012i | −0.0733296 | − | 0.0733296i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −6.56155 | −0.386643 | ||||||||
\(289\) | 0 | 0 | ||||||||
\(290\) | 75.2311 | 4.41772 | ||||||||
\(291\) | − | 2.87689i | − | 0.168647i | ||||||
\(292\) | −39.5002 | − | 39.5002i | −2.31158 | − | 2.31158i | ||||
\(293\) | −1.12311 | −0.0656125 | −0.0328063 | − | 0.999462i | \(-0.510444\pi\) | ||||
−0.0328063 | + | 0.999462i | \(0.510444\pi\) | |||||||
\(294\) | 12.6790 | + | 12.6790i | 0.739457 | + | 0.739457i | ||||
\(295\) | 17.9388 | − | 17.9388i | 1.04444 | − | 1.04444i | ||||
\(296\) | −23.7698 | + | 23.7698i | −1.38159 | + | 1.38159i | ||||
\(297\) | − | 1.56155i | − | 0.0906105i | ||||||
\(298\) | − | 31.3693i | − | 1.81718i | ||||||
\(299\) | 0.755989 | − | 0.755989i | 0.0437200 | − | 0.0437200i | ||||
\(300\) | −24.7869 | + | 24.7869i | −1.43107 | + | 1.43107i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 20.4924 | 1.17921 | ||||||||
\(303\) | −7.69113 | − | 7.69113i | −0.441844 | − | 0.441844i | ||||
\(304\) | 36.0000i | 2.06474i | ||||||||
\(305\) | 32.4924 | 1.86051 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 32.4924 | 1.85444 | 0.927220 | − | 0.374516i | \(-0.122191\pi\) | ||||
0.927220 | + | 0.374516i | \(0.122191\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −11.7978 | − | 11.7978i | −0.671155 | − | 0.671155i | ||||
\(310\) | 28.4924 | 1.61826 | ||||||||
\(311\) | 0 | 0 | 0.707107 | − | 0.707107i | \(-0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(312\) | 2.03427 | − | 2.03427i | 0.115168 | − | 0.115168i | ||||
\(313\) | −23.7698 | + | 23.7698i | −1.34355 | + | 1.34355i | −0.451046 | + | 0.892501i | \(0.648949\pi\) |
−0.892501 | + | 0.451046i | \(0.851051\pi\) | |||||||
\(314\) | − | 17.1231i | − | 0.966313i | ||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 30.2208 | − | 30.2208i | 1.70005 | − | 1.70005i | ||||
\(317\) | −12.7279 | + | 12.7279i | −0.714871 | + | 0.714871i | −0.967550 | − | 0.252679i | \(-0.918688\pi\) |
0.252679 | + | 0.967550i | \(0.418688\pi\) | |||||||
\(318\) | −22.1815 | − | 22.1815i | −1.24387 | − | 1.24387i | ||||
\(319\) | 12.8769 | 0.720968 | ||||||||
\(320\) | 3.62258 | + | 3.62258i | 0.202509 | + | 0.202509i | ||||
\(321\) | − | 4.68466i | − | 0.261472i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 4.56155 | 0.253420 | ||||||||
\(325\) | − | 3.36932i | − | 0.186896i | ||||||
\(326\) | 27.3924 | + | 27.3924i | 1.51712 | + | 1.51712i | ||||
\(327\) | −6.87689 | −0.380293 | ||||||||
\(328\) | −16.5246 | − | 16.5246i | −0.912419 | − | 0.912419i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −10.0736 | + | 10.0736i | −0.554533 | + | 0.554533i | ||||
\(331\) | − | 34.9309i | − | 1.91997i | −0.280044 | − | 0.959987i | \(-0.590349\pi\) | ||
0.280044 | − | 0.959987i | \(-0.409651\pi\) | |||||||
\(332\) | − | 4.00000i | − | 0.219529i | ||||||
\(333\) | 3.62258 | − | 3.62258i | 0.198516 | − | 0.198516i | ||||
\(334\) | −35.8776 | + | 35.8776i | −1.96314 | + | 1.96314i | ||||
\(335\) | −10.0736 | − | 10.0736i | −0.550379 | − | 0.550379i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −11.8360 | − | 11.8360i | −0.644748 | − | 0.644748i | 0.306971 | − | 0.951719i | \(-0.400685\pi\) |
−0.951719 | + | 0.306971i | \(0.900685\pi\) | |||||||
\(338\) | − | 32.8078i | − | 1.78451i | ||||||
\(339\) | 0.438447 | 0.0238132 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.87689 | 0.264099 | ||||||||
\(342\) | − | 12.0000i | − | 0.648886i | ||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 30.7386 | 1.65732 | ||||||||
\(345\) | −6.14098 | − | 6.14098i | −0.330619 | − | 0.330619i | ||||
\(346\) | −3.27439 | + | 3.27439i | −0.176032 | + | 0.176032i | ||||
\(347\) | 6.00505 | − | 6.00505i | 0.322368 | − | 0.322368i | −0.527307 | − | 0.849675i | \(-0.676798\pi\) |
0.849675 | + | 0.527307i | \(0.176798\pi\) | |||||||
\(348\) | 37.6155i | 2.01640i | ||||||||
\(349\) | 11.5616i | 0.618876i | 0.950920 | + | 0.309438i | \(0.100141\pi\) | ||||
−0.950920 | + | 0.309438i | \(0.899859\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.310029 | + | 0.310029i | −0.0165481 | + | 0.0165481i | ||||
\(352\) | 7.24517 | + | 7.24517i | 0.386169 | + | 0.386169i | ||||
\(353\) | 10.4924 | 0.558455 | 0.279228 | − | 0.960225i | \(-0.409922\pi\) | ||||
0.279228 | + | 0.960225i | \(0.409922\pi\) | |||||||
\(354\) | 12.9020 | + | 12.9020i | 0.685735 | + | 0.685735i | ||||
\(355\) | 22.2462i | 1.18071i | ||||||||
\(356\) | −5.12311 | −0.271524 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.24621 | 0.118716 | ||||||||
\(359\) | − | 14.2462i | − | 0.751886i | −0.926643 | − | 0.375943i | \(-0.877319\pi\) | ||
0.926643 | − | 0.375943i | \(-0.122681\pi\) | |||||||
\(360\) | −16.5246 | − | 16.5246i | −0.870923 | − | 0.870923i | ||||
\(361\) | −2.94602 | −0.155054 | ||||||||
\(362\) | 10.8677 | + | 10.8677i | 0.571196 | + | 0.571196i | ||||
\(363\) | 6.05393 | − | 6.05393i | 0.317749 | − | 0.317749i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | − | 43.6155i | − | 2.28294i | ||||||
\(366\) | 23.3693i | 1.22153i | ||||||||
\(367\) | 1.24012 | − | 1.24012i | 0.0647335 | − | 0.0647335i | −0.673999 | − | 0.738732i | \(-0.735425\pi\) |
0.738732 | + | 0.673999i | \(0.235425\pi\) | |||||||
\(368\) | −13.2502 | + | 13.2502i | −0.690715 | + | 0.690715i | ||||
\(369\) | 2.51840 | + | 2.51840i | 0.131103 | + | 0.131103i | ||||
\(370\) | −46.7386 | −2.42983 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 14.2462i | 0.738632i | ||||||||
\(373\) | −0.246211 | −0.0127483 | −0.00637417 | − | 0.999980i | \(-0.502029\pi\) | ||||
−0.00637417 | + | 0.999980i | \(0.502029\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −9.56155 | −0.493756 | ||||||||
\(376\) | − | 72.9848i | − | 3.76391i | ||||||
\(377\) | −2.55656 | − | 2.55656i | −0.131670 | − | 0.131670i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.48528 | + | 8.48528i | 0.435860 | + | 0.435860i | 0.890616 | − | 0.454756i | \(-0.150274\pi\) |
−0.454756 | + | 0.890616i | \(0.650274\pi\) | |||||||
\(380\) | −53.8164 | + | 53.8164i | −2.76073 | + | 2.76073i | ||||
\(381\) | 14.0062 | − | 14.0062i | 0.717560 | − | 0.717560i | ||||
\(382\) | 12.4924i | 0.639168i | ||||||||
\(383\) | 6.24621i | 0.319166i | 0.987184 | + | 0.159583i | \(0.0510150\pi\) | ||||
−0.987184 | + | 0.159583i | \(0.948985\pi\) | |||||||
\(384\) | 6.67399 | − | 6.67399i | 0.340581 | − | 0.340581i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −14.0444 | − | 14.0444i | −0.714840 | − | 0.714840i | ||||
\(387\) | −4.68466 | −0.238135 | ||||||||
\(388\) | −9.27944 | − | 9.27944i | −0.471092 | − | 0.471092i | ||||
\(389\) | − | 35.8617i | − | 1.81826i | −0.416510 | − | 0.909131i | \(-0.636747\pi\) | ||
0.416510 | − | 0.909131i | \(-0.363253\pi\) | |||||||
\(390\) | 4.00000 | 0.202548 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 45.9309 | 2.31986 | ||||||||
\(393\) | 14.4384i | 0.728323i | ||||||||
\(394\) | 16.1764 | + | 16.1764i | 0.814956 | + | 0.814956i | ||||
\(395\) | 33.3693 | 1.67899 | ||||||||
\(396\) | −5.03680 | − | 5.03680i | −0.253109 | − | 0.253109i | ||||
\(397\) | −13.6962 | + | 13.6962i | −0.687391 | + | 0.687391i | −0.961655 | − | 0.274263i | \(-0.911566\pi\) |
0.274263 | + | 0.961655i | \(0.411566\pi\) | |||||||
\(398\) | 28.9807 | − | 28.9807i | 1.45267 | − | 1.45267i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 59.0540i | 2.95270i | ||||||||
\(401\) | −27.7024 | + | 27.7024i | −1.38339 | + | 1.38339i | −0.544871 | + | 0.838520i | \(0.683421\pi\) |
−0.838520 | + | 0.544871i | \(0.816579\pi\) | |||||||
\(402\) | 7.24517 | − | 7.24517i | 0.361356 | − | 0.361356i | ||||
\(403\) | −0.968253 | − | 0.968253i | −0.0482321 | − | 0.0482321i | ||||
\(404\) | −49.6155 | −2.46846 | ||||||||
\(405\) | 2.51840 | + | 2.51840i | 0.125140 | + | 0.125140i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −8.00000 | −0.396545 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.6847 | −0.726110 | −0.363055 | − | 0.931768i | \(-0.618266\pi\) | ||||
−0.363055 | + | 0.931768i | \(0.618266\pi\) | |||||||
\(410\) | − | 32.4924i | − | 1.60469i | ||||||
\(411\) | −0.174098 | − | 0.174098i | −0.00858760 | − | 0.00858760i | ||||
\(412\) | −76.1080 | −3.74957 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 4.41674 | − | 4.41674i | 0.217071 | − | 0.217071i | ||||
\(415\) | 2.20837 | − | 2.20837i | 0.108405 | − | 0.108405i | ||||
\(416\) | − | 2.87689i | − | 0.141051i | ||||||
\(417\) | 0.876894i | 0.0429417i | ||||||||
\(418\) | −13.2502 | + | 13.2502i | −0.648089 | + | 0.648089i | ||||
\(419\) | −0.348195 | + | 0.348195i | −0.0170105 | + | 0.0170105i | −0.715561 | − | 0.698550i | \(-0.753829\pi\) |
0.698550 | + | 0.715561i | \(0.253829\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −24.4384 | −1.19106 | −0.595529 | − | 0.803334i | \(-0.703057\pi\) | ||||
−0.595529 | + | 0.803334i | \(0.703057\pi\) | |||||||
\(422\) | −24.2157 | − | 24.2157i | −1.17880 | − | 1.17880i | ||||
\(423\) | 11.1231i | 0.540824i | ||||||||
\(424\) | −80.3542 | −3.90234 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −16.0000 | −0.775203 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −15.1104 | − | 15.1104i | −0.730388 | − | 0.730388i | ||||
\(429\) | 0.684658 | 0.0330556 | ||||||||
\(430\) | 30.2208 | + | 30.2208i | 1.45738 | + | 1.45738i | ||||
\(431\) | −16.9706 | + | 16.9706i | −0.817443 | + | 0.817443i | −0.985737 | − | 0.168294i | \(-0.946174\pi\) |
0.168294 | + | 0.985737i | \(0.446174\pi\) | |||||||
\(432\) | 5.43387 | − | 5.43387i | 0.261437 | − | 0.261437i | ||||
\(433\) | 26.6847i | 1.28238i | 0.767381 | + | 0.641191i | \(0.221560\pi\) | ||||
−0.767381 | + | 0.641191i | \(0.778440\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −20.7672 | + | 20.7672i | −0.995713 | + | 0.995713i | ||||
\(436\) | −22.1815 | + | 22.1815i | −1.06230 | + | 1.06230i | ||||
\(437\) | −8.07749 | − | 8.07749i | −0.386399 | − | 0.386399i | ||||
\(438\) | 31.3693 | 1.49888 | ||||||||
\(439\) | −15.7304 | − | 15.7304i | −0.750773 | − | 0.750773i | 0.223850 | − | 0.974624i | \(-0.428137\pi\) |
−0.974624 | + | 0.223850i | \(0.928137\pi\) | |||||||
\(440\) | 36.4924i | 1.73971i | ||||||||
\(441\) | −7.00000 | −0.333333 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −31.1231 | −1.47870 | −0.739352 | − | 0.673319i | \(-0.764868\pi\) | ||||
−0.739352 | + | 0.673319i | \(0.764868\pi\) | |||||||
\(444\) | − | 23.3693i | − | 1.10906i | ||||||
\(445\) | −2.82843 | − | 2.82843i | −0.134080 | − | 0.134080i | ||||
\(446\) | −38.2462 | −1.81101 | ||||||||
\(447\) | 8.65938 | + | 8.65938i | 0.409575 | + | 0.409575i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −25.9781 | + | 25.9781i | −1.22598 | + | 1.22598i | −0.260514 | + | 0.965470i | \(0.583892\pi\) |
−0.965470 | + | 0.260514i | \(0.916108\pi\) | |||||||
\(450\) | − | 19.6847i | − | 0.927944i | ||||||
\(451\) | − | 5.56155i | − | 0.261883i | ||||||
\(452\) | 1.41421 | − | 1.41421i | 0.0665190 | − | 0.0665190i | ||||
\(453\) | −5.65685 | + | 5.65685i | −0.265782 | + | 0.265782i | ||||
\(454\) | −25.4558 | − | 25.4558i | −1.19470 | − | 1.19470i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −21.7355 | − | 21.7355i | −1.01786 | − | 1.01786i | ||||
\(457\) | − | 13.8078i | − | 0.645900i | −0.946416 | − | 0.322950i | \(-0.895325\pi\) | ||
0.946416 | − | 0.322950i | \(-0.104675\pi\) | |||||||
\(458\) | −15.3693 | −0.718161 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −39.6155 | −1.84708 | ||||||||
\(461\) | 8.24621i | 0.384064i | 0.981389 | + | 0.192032i | \(0.0615078\pi\) | ||||
−0.981389 | + | 0.192032i | \(0.938492\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 40.9848 | 1.90473 | 0.952364 | − | 0.304965i | \(-0.0986447\pi\) | ||||
0.952364 | + | 0.304965i | \(0.0986447\pi\) | |||||||
\(464\) | 44.8089 | + | 44.8089i | 2.08020 | + | 2.08020i | ||||
\(465\) | −7.86522 | + | 7.86522i | −0.364741 | + | 0.364741i | ||||
\(466\) | −6.45101 | + | 6.45101i | −0.298837 | + | 0.298837i | ||||
\(467\) | 21.3693i | 0.988854i | 0.869219 | + | 0.494427i | \(0.164622\pi\) | ||||
−0.869219 | + | 0.494427i | \(0.835378\pi\) | |||||||
\(468\) | 2.00000i | 0.0924500i | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 71.7553 | − | 71.7553i | 3.30982 | − | 3.30982i | ||||
\(471\) | 4.72677 | + | 4.72677i | 0.217798 | + | 0.217798i | ||||
\(472\) | 46.7386 | 2.15132 | ||||||||
\(473\) | 5.17273 | + | 5.17273i | 0.237842 | + | 0.237842i | ||||
\(474\) | 24.0000i | 1.10236i | ||||||||
\(475\) | −36.0000 | −1.65179 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 12.2462 | 0.560715 | ||||||||
\(478\) | − | 16.0000i | − | 0.731823i | ||||||
\(479\) | 17.1828 | + | 17.1828i | 0.785103 | + | 0.785103i | 0.980687 | − | 0.195584i | \(-0.0626601\pi\) |
−0.195584 | + | 0.980687i | \(0.562660\pi\) | |||||||
\(480\) | −23.3693 | −1.06666 | ||||||||
\(481\) | 1.58831 | + | 1.58831i | 0.0724208 | + | 0.0724208i | ||||
\(482\) | −6.10281 | + | 6.10281i | −0.277976 | + | 0.277976i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 39.0540i | − | 1.77518i | ||||||
\(485\) | − | 10.2462i | − | 0.465256i | ||||||
\(486\) | −1.81129 | + | 1.81129i | −0.0821618 | + | 0.0821618i | ||||
\(487\) | 12.2820 | − | 12.2820i | 0.556549 | − | 0.556549i | −0.371774 | − | 0.928323i | \(-0.621250\pi\) |
0.928323 | + | 0.371774i | \(0.121250\pi\) | |||||||
\(488\) | 42.3286 | + | 42.3286i | 1.91613 | + | 1.91613i | ||||
\(489\) | −15.1231 | −0.683890 | ||||||||
\(490\) | 45.1571 | + | 45.1571i | 2.03999 | + | 2.03999i | ||||
\(491\) | 21.3693i | 0.964384i | 0.876066 | + | 0.482192i | \(0.160159\pi\) | ||||
−0.876066 | + | 0.482192i | \(0.839841\pi\) | |||||||
\(492\) | 16.2462 | 0.732436 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 5.26137 | 0.236720 | ||||||||
\(495\) | − | 5.56155i | − | 0.249973i | ||||||
\(496\) | 16.9706 | + | 16.9706i | 0.762001 | + | 0.762001i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 1.58831 | + | 1.58831i | 0.0711739 | + | 0.0711739i | ||||
\(499\) | 9.45353 | − | 9.45353i | 0.423198 | − | 0.423198i | −0.463105 | − | 0.886303i | \(-0.653265\pi\) |
0.886303 | + | 0.463105i | \(0.153265\pi\) | |||||||
\(500\) | −30.8408 | + | 30.8408i | −1.37924 | + | 1.37924i | ||||
\(501\) | − | 19.8078i | − | 0.884946i | ||||||
\(502\) | − | 21.7538i | − | 0.970919i | ||||||
\(503\) | 20.9032 | − | 20.9032i | 0.932026 | − | 0.932026i | −0.0658060 | − | 0.997832i | \(-0.520962\pi\) |
0.997832 | + | 0.0658060i | \(0.0209618\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −27.3924 | − | 27.3924i | −1.21894 | − | 1.21894i | ||||
\(506\) | −9.75379 | −0.433609 | ||||||||
\(507\) | 9.05646 | + | 9.05646i | 0.402211 | + | 0.402211i | ||||
\(508\) | − | 90.3542i | − | 4.00882i | ||||||
\(509\) | 25.1231 | 1.11356 | 0.556781 | − | 0.830659i | \(-0.312036\pi\) | ||||
0.556781 | + | 0.830659i | \(0.312036\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 50.4233i | − | 2.22842i | ||||||
\(513\) | 3.31255 | + | 3.31255i | 0.146253 | + | 0.146253i | ||||
\(514\) | −39.3693 | −1.73651 | ||||||||
\(515\) | −42.0186 | − | 42.0186i | −1.85156 | − | 1.85156i | ||||
\(516\) | −15.1104 | + | 15.1104i | −0.665198 | + | 0.665198i | ||||
\(517\) | 12.2820 | − | 12.2820i | 0.540160 | − | 0.540160i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 1.80776i | − | 0.0793520i | ||||||
\(520\) | 7.24517 | − | 7.24517i | 0.317722 | − | 0.317722i | ||||
\(521\) | −25.1458 | + | 25.1458i | −1.10166 | + | 1.10166i | −0.107447 | + | 0.994211i | \(0.534268\pi\) |
−0.994211 | + | 0.107447i | \(0.965732\pi\) | |||||||
\(522\) | −14.9363 | − | 14.9363i | −0.653744 | − | 0.653744i | ||||
\(523\) | 20.0000 | 0.874539 | 0.437269 | − | 0.899331i | \(-0.355946\pi\) | ||||
0.437269 | + | 0.899331i | \(0.355946\pi\) | |||||||
\(524\) | 46.5713 | + | 46.5713i | 2.03448 | + | 2.03448i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 52.4924 | 2.28878 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −12.0000 | −0.522233 | ||||||||
\(529\) | 17.0540i | 0.741477i | ||||||||
\(530\) | −79.0004 | − | 79.0004i | −3.43156 | − | 3.43156i | ||||
\(531\) | −7.12311 | −0.309116 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.10418 | + | 1.10418i | −0.0478275 | + | 0.0478275i | ||||
\(534\) | 2.03427 | − | 2.03427i | 0.0880315 | − | 0.0880315i | ||||
\(535\) | − | 16.6847i | − | 0.721341i | ||||||
\(536\) | − | 26.2462i | − | 1.13366i | ||||||
\(537\) | −0.620058 | + | 0.620058i | −0.0267575 | + | 0.0267575i | ||||
\(538\) | −29.7748 | + | 29.7748i | −1.28368 | + | 1.28368i | ||||
\(539\) | 7.72929 | + | 7.72929i | 0.332924 | + | 0.332924i | ||||
\(540\) | 16.2462 | 0.699126 | ||||||||
\(541\) | 24.1180 | + | 24.1180i | 1.03691 | + | 1.03691i | 0.999292 | + | 0.0376201i | \(0.0119777\pi\) |
0.0376201 | + | 0.999292i | \(0.488022\pi\) | |||||||
\(542\) | 50.7386i | 2.17941i | ||||||||
\(543\) | −6.00000 | −0.257485 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −24.4924 | −1.04914 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 19.7990 | + | 19.7990i | 0.846544 | + | 0.846544i | 0.989700 | − | 0.143156i | \(-0.0457252\pi\) |
−0.143156 | + | 0.989700i | \(0.545725\pi\) | |||||||
\(548\) | −1.12311 | −0.0479767 | ||||||||
\(549\) | −6.45101 | − | 6.45101i | −0.275322 | − | 0.275322i | ||||
\(550\) | −21.7355 | + | 21.7355i | −0.926805 | + | 0.926805i | ||||
\(551\) | −27.3160 | + | 27.3160i | −1.16370 | + | 1.16370i | ||||
\(552\) | − | 16.0000i | − | 0.681005i | ||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 10.8677 | − | 10.8677i | 0.461726 | − | 0.461726i | ||||
\(555\) | 12.9020 | − | 12.9020i | 0.547660 | − | 0.547660i | ||||
\(556\) | 2.82843 | + | 2.82843i | 0.119952 | + | 0.119952i | ||||
\(557\) | −26.4924 | −1.12252 | −0.561260 | − | 0.827640i | \(-0.689683\pi\) | ||||
−0.561260 | + | 0.827640i | \(0.689683\pi\) | |||||||
\(558\) | −5.65685 | − | 5.65685i | −0.239474 | − | 0.239474i | ||||
\(559\) | − | 2.05398i | − | 0.0868739i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 27.8617 | 1.17528 | ||||||||
\(563\) | − | 31.1231i | − | 1.31168i | −0.754899 | − | 0.655841i | \(-0.772314\pi\) | ||
0.754899 | − | 0.655841i | \(-0.227686\pi\) | |||||||
\(564\) | 35.8776 | + | 35.8776i | 1.51072 | + | 1.51072i | ||||
\(565\) | 1.56155 | 0.0656950 | ||||||||
\(566\) | 38.7061 | + | 38.7061i | 1.62694 | + | 1.62694i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −28.9807 | + | 28.9807i | −1.21600 | + | 1.21600i | ||||
\(569\) | 21.1231i | 0.885527i | 0.896639 | + | 0.442763i | \(0.146002\pi\) | ||||
−0.896639 | + | 0.442763i | \(0.853998\pi\) | |||||||
\(570\) | − | 42.7386i | − | 1.79012i | ||||||
\(571\) | 21.7355 | − | 21.7355i | 0.909602 | − | 0.909602i | −0.0866377 | − | 0.996240i | \(-0.527612\pi\) |
0.996240 | + | 0.0866377i | \(0.0276122\pi\) | |||||||
\(572\) | 2.20837 | − | 2.20837i | 0.0923366 | − | 0.0923366i | ||||
\(573\) | −3.44849 | − | 3.44849i | −0.144063 | − | 0.144063i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −13.2502 | − | 13.2502i | −0.552572 | − | 0.552572i | ||||
\(576\) | − | 1.43845i | − | 0.0599353i | ||||||
\(577\) | −3.94602 | −0.164275 | −0.0821376 | − | 0.996621i | \(-0.526175\pi\) | ||||
−0.0821376 | + | 0.996621i | \(0.526175\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 7.75379 | 0.322236 | ||||||||
\(580\) | 133.970i | 5.56279i | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 7.36932 | 0.305468 | ||||||||
\(583\) | −13.5221 | − | 13.5221i | −0.560027 | − | 0.560027i | ||||
\(584\) | 56.8190 | − | 56.8190i | 2.35119 | − | 2.35119i | ||||
\(585\) | −1.10418 | + | 1.10418i | −0.0456524 | + | 0.0456524i | ||||
\(586\) | − | 2.87689i | − | 0.118843i | ||||||
\(587\) | − | 28.9848i | − | 1.19633i | −0.801372 | − | 0.598166i | \(-0.795896\pi\) | ||
0.801372 | − | 0.598166i | \(-0.204104\pi\) | |||||||
\(588\) | −22.5785 | + | 22.5785i | −0.931123 | + | 0.931123i | ||||
\(589\) | −10.3455 | + | 10.3455i | −0.426277 | + | 0.426277i | ||||
\(590\) | 45.9512 | + | 45.9512i | 1.89178 | + | 1.89178i | ||||
\(591\) | −8.93087 | −0.367367 | ||||||||
\(592\) | −27.8383 | − | 27.8383i | −1.14415 | − | 1.14415i | ||||
\(593\) | − | 27.7538i | − | 1.13971i | −0.821745 | − | 0.569856i | \(-0.806999\pi\) | ||
0.821745 | − | 0.569856i | \(-0.193001\pi\) | |||||||
\(594\) | 4.00000 | 0.164122 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 55.8617 | 2.28819 | ||||||||
\(597\) | 16.0000i | 0.654836i | ||||||||
\(598\) | 1.93651 | + | 1.93651i | 0.0791896 | + | 0.0791896i | ||||
\(599\) | 0.384472 | 0.0157091 | 0.00785455 | − | 0.999969i | \(-0.497500\pi\) | ||||
0.00785455 | + | 0.999969i | \(0.497500\pi\) | |||||||
\(600\) | −35.6547 | − | 35.6547i | −1.45560 | − | 1.45560i | ||||
\(601\) | −21.9096 | + | 21.9096i | −0.893711 | + | 0.893711i | −0.994870 | − | 0.101159i | \(-0.967745\pi\) |
0.101159 | + | 0.994870i | \(0.467745\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.00000i | 0.162893i | ||||||||
\(604\) | 36.4924i | 1.48486i | ||||||||
\(605\) | 21.5614 | − | 21.5614i | 0.876596 | − | 0.876596i | ||||
\(606\) | 19.7012 | − | 19.7012i | 0.800308 | − | 0.800308i | ||||
\(607\) | 6.62511 | + | 6.62511i | 0.268905 | + | 0.268905i | 0.828659 | − | 0.559754i | \(-0.189104\pi\) |
−0.559754 | + | 0.828659i | \(0.689104\pi\) | |||||||
\(608\) | −30.7386 | −1.24662 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 83.2311i | 3.36993i | ||||||||
\(611\) | −4.87689 | −0.197298 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.6847 | 0.593108 | 0.296554 | − | 0.955016i | \(-0.404163\pi\) | ||||
0.296554 | + | 0.955016i | \(0.404163\pi\) | |||||||
\(614\) | 83.2311i | 3.35893i | ||||||||
\(615\) | 8.96941 | + | 8.96941i | 0.361681 | + | 0.361681i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 31.2868 | + | 31.2868i | 1.25956 | + | 1.25956i | 0.951304 | + | 0.308255i | \(0.0997451\pi\) |
0.308255 | + | 0.951304i | \(0.400255\pi\) | |||||||
\(618\) | 30.2208 | − | 30.2208i | 1.21566 | − | 1.21566i | ||||
\(619\) | −3.79668 | + | 3.79668i | −0.152601 | + | 0.152601i | −0.779279 | − | 0.626677i | \(-0.784414\pi\) |
0.626677 | + | 0.779279i | \(0.284414\pi\) | |||||||
\(620\) | 50.7386i | 2.03771i | ||||||||
\(621\) | 2.43845i | 0.0978515i | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 2.38247 | + | 2.38247i | 0.0953750 | + | 0.0953750i | ||||
\(625\) | 4.36932 | 0.174773 | ||||||||
\(626\) | −60.8875 | − | 60.8875i | −2.43355 | − | 2.43355i | ||||
\(627\) | − | 7.31534i | − | 0.292147i | ||||||
\(628\) | 30.4924 | 1.21678 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.684658i | 0.0272558i | 0.999907 | + | 0.0136279i | \(0.00433803\pi\) | ||||
−0.999907 | + | 0.0136279i | \(0.995662\pi\) | |||||||
\(632\) | 43.4710 | + | 43.4710i | 1.72918 | + | 1.72918i | ||||
\(633\) | 13.3693 | 0.531383 | ||||||||
\(634\) | −32.6032 | − | 32.6032i | −1.29484 | − | 1.29484i | ||||
\(635\) | 49.8838 | − | 49.8838i | 1.97958 | − | 1.97958i | ||||
\(636\) | 39.5002 | − | 39.5002i | 1.56629 | − | 1.56629i | ||||
\(637\) | − | 3.06913i | − | 0.121603i | ||||||
\(638\) | 32.9848i | 1.30588i | ||||||||
\(639\) | 4.41674 | − | 4.41674i | 0.174723 | − | 0.174723i | ||||
\(640\) | 23.7698 | − | 23.7698i | 0.939583 | − | 0.939583i | ||||
\(641\) | 20.4572 | + | 20.4572i | 0.808011 | + | 0.808011i | 0.984333 | − | 0.176321i | \(-0.0564198\pi\) |
−0.176321 | + | 0.984333i | \(0.556420\pi\) | |||||||
\(642\) | 12.0000 | 0.473602 | ||||||||
\(643\) | −9.72540 | − | 9.72540i | −0.383532 | − | 0.383532i | 0.488841 | − | 0.872373i | \(-0.337420\pi\) |
−0.872373 | + | 0.488841i | \(0.837420\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −16.6847 | −0.656958 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −9.36932 | −0.368346 | −0.184173 | − | 0.982894i | \(-0.558961\pi\) | ||||
−0.184173 | + | 0.982894i | \(0.558961\pi\) | |||||||
\(648\) | 6.56155i | 0.257762i | ||||||||
\(649\) | 7.86522 | + | 7.86522i | 0.308737 | + | 0.308737i | ||||
\(650\) | 8.63068 | 0.338523 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −48.7797 | + | 48.7797i | −1.91036 | + | 1.91036i | ||||
\(653\) | 23.2856 | − | 23.2856i | 0.911238 | − | 0.911238i | −0.0851321 | − | 0.996370i | \(-0.527131\pi\) |
0.996370 | + | 0.0851321i | \(0.0271312\pi\) | |||||||
\(654\) | − | 17.6155i | − | 0.688822i | ||||||
\(655\) | 51.4233i | 2.00927i | ||||||||
\(656\) | 19.3530 | − | 19.3530i | 0.755609 | − | 0.755609i | ||||
\(657\) | −8.65938 | + | 8.65938i | −0.337835 | + | 0.337835i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 9.86174 | 0.384159 | 0.192079 | − | 0.981379i | \(-0.438477\pi\) | ||||
0.192079 | + | 0.981379i | \(0.438477\pi\) | |||||||
\(660\) | −17.9388 | − | 17.9388i | −0.698267 | − | 0.698267i | ||||
\(661\) | − | 13.3153i | − | 0.517907i | −0.965890 | − | 0.258953i | \(-0.916622\pi\) | ||
0.965890 | − | 0.258953i | \(-0.0833776\pi\) | |||||||
\(662\) | 89.4773 | 3.47763 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 5.75379 | 0.223290 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 9.27944 | + | 9.27944i | 0.359571 | + | 0.359571i | ||||
\(667\) | −20.1080 | −0.778583 | ||||||||
\(668\) | −63.8900 | − | 63.8900i | −2.47198 | − | 2.47198i | ||||
\(669\) | 10.5577 | − | 10.5577i | 0.408185 | − | 0.408185i | ||||
\(670\) | 25.8040 | − | 25.8040i | 0.996897 | − | 0.996897i | ||||
\(671\) | 14.2462i | 0.549969i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.522293 | − | 0.522293i | 0.0201329 | − | 0.0201329i | −0.696969 | − | 0.717102i | \(-0.745468\pi\) |
0.717102 | + | 0.696969i | \(0.245468\pi\) | |||||||
\(674\) | 30.3185 | − | 30.3185i | 1.16783 | − | 1.16783i | ||||
\(675\) | 5.43387 | + | 5.43387i | 0.209150 | + | 0.209150i | ||||
\(676\) | 58.4233 | 2.24705 | ||||||||
\(677\) | −0.930087 | − | 0.930087i | −0.0357461 | − | 0.0357461i | 0.689008 | − | 0.724754i | \(-0.258047\pi\) |
−0.724754 | + | 0.689008i | \(0.758047\pi\) | |||||||
\(678\) | 1.12311i | 0.0431326i | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 14.0540 | 0.538550 | ||||||||
\(682\) | 12.4924i | 0.478360i | ||||||||
\(683\) | −6.76104 | − | 6.76104i | −0.258704 | − | 0.258704i | 0.565823 | − | 0.824527i | \(-0.308559\pi\) |
−0.824527 | + | 0.565823i | \(0.808559\pi\) | |||||||
\(684\) | 21.3693 | 0.817076 | ||||||||
\(685\) | −0.620058 | − | 0.620058i | −0.0236912 | − | 0.0236912i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 4.24264 | − | 4.24264i | 0.161867 | − | 0.161867i | ||||
\(688\) | 36.0000i | 1.37249i | ||||||||
\(689\) | 5.36932i | 0.204555i | ||||||||
\(690\) | 15.7304 | − | 15.7304i | 0.598848 | − | 0.598848i | ||||
\(691\) | −20.4954 | + | 20.4954i | −0.779681 | + | 0.779681i | −0.979776 | − | 0.200095i | \(-0.935875\pi\) |
0.200095 | + | 0.979776i | \(0.435875\pi\) | |||||||
\(692\) | −5.83095 | − | 5.83095i | −0.221660 | − | 0.221660i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 15.3823 | + | 15.3823i | 0.583902 | + | 0.583902i | ||||
\(695\) | 3.12311i | 0.118466i | ||||||||
\(696\) | −54.1080 | −2.05096 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −29.6155 | −1.12096 | ||||||||
\(699\) | − | 3.56155i | − | 0.134710i | ||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −15.3693 | −0.580491 | −0.290246 | − | 0.956952i | \(-0.593737\pi\) | ||||
−0.290246 | + | 0.956952i | \(0.593737\pi\) | |||||||
\(702\) | −0.794156 | − | 0.794156i | −0.0299735 | − | 0.0299735i | ||||
\(703\) | 16.9706 | − | 16.9706i | 0.640057 | − | 0.640057i | ||||
\(704\) | −1.58831 | + | 1.58831i | −0.0598617 | + | 0.0598617i | ||||
\(705\) | 39.6155i | 1.49201i | ||||||||
\(706\) | 26.8769i | 1.01153i | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −22.9756 | + | 22.9756i | −0.863476 | + | 0.863476i | ||||
\(709\) | 31.6350 | + | 31.6350i | 1.18808 | + | 1.18808i | 0.977598 | + | 0.210479i | \(0.0675022\pi\) |
0.210479 | + | 0.977598i | \(0.432498\pi\) | |||||||
\(710\) | −56.9848 | −2.13860 | ||||||||
\(711\) | −6.62511 | − | 6.62511i | −0.248461 | − | 0.248461i | ||||
\(712\) | − | 7.36932i | − | 0.276177i | ||||||
\(713\) | −7.61553 | −0.285204 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.43845 | 0.0911928 | ||||||||
\(716\) | 4.00000i | 0.149487i | ||||||||
\(717\) | 4.41674 | + | 4.41674i | 0.164946 | + | 0.164946i | ||||
\(718\) | 36.4924 | 1.36189 | ||||||||
\(719\) | 8.34935 | + | 8.34935i | 0.311378 | + | 0.311378i | 0.845443 | − | 0.534065i | \(-0.179336\pi\) |
−0.534065 | + | 0.845443i | \(0.679336\pi\) | |||||||
\(720\) | 19.3530 | − | 19.3530i | 0.721245 | − | 0.721245i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | − | 7.54640i | − | 0.280848i | ||||||
\(723\) | − | 3.36932i | − | 0.125306i | ||||||
\(724\) | −19.3530 | + | 19.3530i | −0.719250 | + | 0.719250i | ||||
\(725\) | −44.8089 | + | 44.8089i | −1.66416 | + | 1.66416i | ||||
\(726\) | 15.5075 | + | 15.5075i | 0.575536 | + | 0.575536i | ||||
\(727\) | 8.00000 | 0.296704 | 0.148352 | − | 0.988935i | \(-0.452603\pi\) | ||||
0.148352 | + | 0.988935i | \(0.452603\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | 111.723 | 4.13507 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −41.6155 | −1.53815 | ||||||||
\(733\) | 11.7538i | 0.434136i | 0.976156 | + | 0.217068i | \(0.0696494\pi\) | ||||
−0.976156 | + | 0.217068i | \(0.930351\pi\) | |||||||
\(734\) | 3.17662 | + | 3.17662i | 0.117251 | + | 0.117251i | ||||
\(735\) | −24.9309 | −0.919589 | ||||||||
\(736\) | −11.3137 | − | 11.3137i | −0.417029 | − | 0.417029i | ||||
\(737\) | 4.41674 | − | 4.41674i | 0.162693 | − | 0.162693i | ||||
\(738\) | −6.45101 | + | 6.45101i | −0.237465 | + | 0.237465i | ||||
\(739\) | − | 20.6847i | − | 0.760897i | −0.924802 | − | 0.380449i | \(-0.875770\pi\) | ||
0.924802 | − | 0.380449i | \(-0.124230\pi\) | |||||||
\(740\) | − | 83.2311i | − | 3.05963i | ||||||
\(741\) | −1.45238 | + | 1.45238i | −0.0533545 | + | 0.0533545i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −20.1472 | − | 20.1472i | −0.739129 | − | 0.739129i | 0.233281 | − | 0.972409i | \(-0.425054\pi\) |
−0.972409 | + | 0.233281i | \(0.925054\pi\) | |||||||
\(744\) | −20.4924 | −0.751289 | ||||||||
\(745\) | 30.8408 | + | 30.8408i | 1.12992 | + | 1.12992i | ||||
\(746\) | − | 0.630683i | − | 0.0230909i | ||||||
\(747\) | −0.876894 | −0.0320839 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | − | 24.4924i | − | 0.894337i | ||||||
\(751\) | −17.9388 | − | 17.9388i | −0.654597 | − | 0.654597i | 0.299500 | − | 0.954096i | \(-0.403180\pi\) |
−0.954096 | + | 0.299500i | \(0.903180\pi\) | |||||||
\(752\) | 85.4773 | 3.11704 | ||||||||
\(753\) | 6.00505 | + | 6.00505i | 0.218836 | + | 0.218836i | ||||
\(754\) | 6.54877 | − | 6.54877i | 0.238492 | − | 0.238492i | ||||
\(755\) | −20.1472 | + | 20.1472i | −0.733231 | + | 0.733231i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 16.0540i | 0.583492i | 0.956496 | + | 0.291746i | \(0.0942361\pi\) | ||||
−0.956496 | + | 0.291746i | \(0.905764\pi\) | |||||||
\(758\) | −21.7355 | + | 21.7355i | −0.789469 | + | 0.789469i | ||||
\(759\) | 2.69250 | − | 2.69250i | 0.0977314 | − | 0.0977314i | ||||
\(760\) | −77.4121 | − | 77.4121i | −2.80803 | − | 2.80803i | ||||
\(761\) | 15.7538 | 0.571074 | 0.285537 | − | 0.958368i | \(-0.407828\pi\) | ||||
0.285537 | + | 0.958368i | \(0.407828\pi\) | |||||||
\(762\) | 35.8776 | + | 35.8776i | 1.29971 | + | 1.29971i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −22.2462 | −0.804840 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −16.0000 | −0.578103 | ||||||||
\(767\) | − | 3.12311i | − | 0.112769i | ||||||
\(768\) | 19.1300 | + | 19.1300i | 0.690296 | + | 0.690296i | ||||
\(769\) | −40.5464 | −1.46214 | −0.731070 | − | 0.682302i | \(-0.760979\pi\) | ||||
−0.731070 | + | 0.682302i | \(0.760979\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 10.8677 | − | 10.8677i | 0.391392 | − | 0.391392i | ||||
\(772\) | 25.0099 | − | 25.0099i | 0.900125 | − | 0.900125i | ||||
\(773\) | − | 8.63068i | − | 0.310424i | −0.987881 | − | 0.155212i | \(-0.950394\pi\) | ||
0.987881 | − | 0.155212i | \(-0.0496061\pi\) | |||||||
\(774\) | − | 12.0000i | − | 0.431331i | ||||||
\(775\) | −16.9706 | + | 16.9706i | −0.609601 | + | 0.609601i | ||||
\(776\) | 13.3480 | − | 13.3480i | 0.479165 | − | 0.479165i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 91.8617 | 3.29340 | ||||||||
\(779\) | 11.7978 | + | 11.7978i | 0.422701 | + | 0.422701i | ||||
\(780\) | 7.12311i | 0.255048i | ||||||||
\(781\) | −9.75379 | −0.349018 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 8.24621 | 0.294696 | ||||||||
\(784\) | 53.7926i | 1.92116i | ||||||||
\(785\) | 16.8346 | + | 16.8346i | 0.600854 | + | 0.600854i | ||||
\(786\) | −36.9848 | −1.31921 | ||||||||
\(787\) | 7.24517 | + | 7.24517i | 0.258262 | + | 0.258262i | 0.824347 | − | 0.566085i | \(-0.191543\pi\) |
−0.566085 | + | 0.824347i | \(0.691543\pi\) | |||||||
\(788\) | −28.8066 | + | 28.8066i | −1.02619 | + | 1.02619i | ||||
\(789\) | −14.4903 | + | 14.4903i | −0.515869 | + | 0.515869i | ||||
\(790\) | 85.4773i | 3.04114i | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 7.24517 | − | 7.24517i | 0.257446 | − | 0.257446i | ||||
\(793\) | 2.82843 | − | 2.82843i | 0.100440 | − | 0.100440i | ||||
\(794\) | −35.0835 | − | 35.0835i | −1.24507 | − | 1.24507i | ||||
\(795\) | 43.6155 | 1.54688 | ||||||||
\(796\) | 51.6081 | + | 51.6081i | 1.82920 | + | 1.82920i | ||||
\(797\) | 9.61553i | 0.340599i | 0.985392 | + | 0.170300i | \(0.0544736\pi\) | ||||
−0.985392 | + | 0.170300i | \(0.945526\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −50.4233 | −1.78273 | ||||||||
\(801\) | 1.12311i | 0.0396830i | ||||||||
\(802\) | −70.9611 | − | 70.9611i | −2.50572 | − | 2.50572i | ||||
\(803\) | 19.1231 | 0.674840 | ||||||||
\(804\) | 12.9020 | + | 12.9020i | 0.455019 | + | 0.455019i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.48023 | − | 2.48023i | 0.0873624 | − | 0.0873624i | ||||
\(807\) | − | 16.4384i | − | 0.578661i | ||||||
\(808\) | − | 71.3693i | − | 2.51076i | ||||||
\(809\) | −11.2755 | + | 11.2755i | −0.396427 | + | 0.396427i | −0.876971 | − | 0.480544i | \(-0.840439\pi\) |
0.480544 | + | 0.876971i | \(0.340439\pi\) | |||||||
\(810\) | −6.45101 | + | 6.45101i | −0.226665 | + | 0.226665i | ||||
\(811\) | 32.0810 | + | 32.0810i | 1.12651 | + | 1.12651i | 0.990740 | + | 0.135775i | \(0.0433524\pi\) |
0.135775 | + | 0.990740i | \(0.456648\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −14.0062 | − | 14.0062i | −0.491219 | − | 0.491219i | ||||
\(814\) | − | 20.4924i | − | 0.718259i | ||||||
\(815\) | −53.8617 | −1.88669 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −21.9460 | −0.767794 | ||||||||
\(818\) | − | 37.6155i | − | 1.31520i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 57.8617 | 2.02062 | ||||||||
\(821\) | 8.79531 | + | 8.79531i | 0.306958 | + | 0.306958i | 0.843729 | − | 0.536770i | \(-0.180356\pi\) |
−0.536770 | + | 0.843729i | \(0.680356\pi\) | |||||||
\(822\) | 0.445960 | − | 0.445960i | 0.0155547 | − | 0.0155547i | ||||
\(823\) | −2.48023 | + | 2.48023i | −0.0864554 | + | 0.0864554i | −0.749012 | − | 0.662556i | \(-0.769471\pi\) |
0.662556 | + | 0.749012i | \(0.269471\pi\) | |||||||
\(824\) | − | 109.477i | − | 3.81382i | ||||||
\(825\) | − | 12.0000i | − | 0.417786i | ||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 33.5333 | − | 33.5333i | 1.16607 | − | 1.16607i | 0.182945 | − | 0.983123i | \(-0.441437\pi\) |
0.983123 | − | 0.182945i | \(-0.0585630\pi\) | |||||||
\(828\) | 7.86522 | + | 7.86522i | 0.273335 | + | 0.273335i | ||||
\(829\) | −17.5076 | −0.608063 | −0.304032 | − | 0.952662i | \(-0.598333\pi\) | ||||
−0.304032 | + | 0.952662i | \(0.598333\pi\) | |||||||
\(830\) | 5.65685 | + | 5.65685i | 0.196352 | + | 0.196352i | ||||
\(831\) | 6.00000i | 0.208138i | ||||||||
\(832\) | 0.630683 | 0.0218650 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −2.24621 | −0.0777799 | ||||||||
\(835\) | − | 70.5464i | − | 2.44136i | ||||||
\(836\) | −23.5957 | − | 23.5957i | −0.816073 | − | 0.816073i | ||||
\(837\) | 3.12311 | 0.107950 | ||||||||
\(838\) | −0.891921 | − | 0.891921i | −0.0308109 | − | 0.0308109i | ||||
\(839\) | −18.4229 | + | 18.4229i | −0.636031 | + | 0.636031i | −0.949574 | − | 0.313543i | \(-0.898484\pi\) |
0.313543 | + | 0.949574i | \(0.398484\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 39.0000i | 1.34483i | ||||||||
\(842\) | − | 62.6004i | − | 2.15735i | ||||||
\(843\) | −7.69113 | + | 7.69113i | −0.264896 | + | 0.264896i | ||||
\(844\) | 43.1228 | − | 43.1228i | 1.48435 | − | 1.48435i | ||||
\(845\) | 32.2550 | + | 32.2550i | 1.10961 | + | 1.10961i | ||||
\(846\) | −28.4924 | −0.979590 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | − | 94.1080i | − | 3.23168i | ||||||
\(849\) | −21.3693 | −0.733393 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 12.4924 | 0.428235 | ||||||||
\(852\) | − | 28.4924i | − | 0.976134i | ||||||
\(853\) | −20.3213 | − | 20.3213i | −0.695787 | − | 0.695787i | 0.267712 | − | 0.963499i | \(-0.413733\pi\) |
−0.963499 | + | 0.267712i | \(0.913733\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 11.7978 | + | 11.7978i | 0.403477 | + | 0.403477i | ||||
\(856\) | 21.7355 | − | 21.7355i | 0.742904 | − | 0.742904i | ||||
\(857\) | 4.24264 | − | 4.24264i | 0.144926 | − | 0.144926i | −0.630921 | − | 0.775847i | \(-0.717323\pi\) |
0.775847 | + | 0.630921i | \(0.217323\pi\) | |||||||
\(858\) | 1.75379i | 0.0598734i | ||||||||
\(859\) | 12.0000i | 0.409435i | 0.978821 | + | 0.204717i | \(0.0656275\pi\) | ||||
−0.978821 | + | 0.204717i | \(0.934372\pi\) | |||||||
\(860\) | −53.8164 | + | 53.8164i | −1.83513 | + | 1.83513i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −43.4710 | − | 43.4710i | −1.48063 | − | 1.48063i | ||||
\(863\) | 9.75379 | 0.332023 | 0.166011 | − | 0.986124i | \(-0.446911\pi\) | ||||
0.166011 | + | 0.986124i | \(0.446911\pi\) | |||||||
\(864\) | 4.63972 | + | 4.63972i | 0.157846 | + | 0.157846i | ||||
\(865\) | − | 6.43845i | − | 0.218914i | ||||||
\(866\) | −68.3542 | −2.32277 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 14.6307i | 0.496312i | ||||||||
\(870\) | −53.1964 | − | 53.1964i | −1.80353 | − | 1.80353i | ||||
\(871\) | −1.75379 | −0.0594249 | ||||||||
\(872\) | −31.9069 | − | 31.9069i | −1.08050 | − | 1.08050i | ||||
\(873\) | −2.03427 | + | 2.03427i | −0.0688497 | + | 0.0688497i | ||||
\(874\) | 20.6909 | − | 20.6909i | 0.699880 | − | 0.699880i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 55.8617i | 1.88739i | ||||||||
\(877\) | 24.0416 | − | 24.0416i | 0.811828 | − | 0.811828i | −0.173080 | − | 0.984908i | \(-0.555372\pi\) |
0.984908 | + | 0.173080i | \(0.0553718\pi\) | |||||||
\(878\) | 40.2944 | − | 40.2944i | 1.35987 | − | 1.35987i | ||||
\(879\) | 0.794156 | + | 0.794156i | 0.0267862 | + | 0.0267862i | ||||
\(880\) | −42.7386 | −1.44072 | ||||||||
\(881\) | 28.4584 | + | 28.4584i | 0.958787 | + | 0.958787i | 0.999184 | − | 0.0403969i | \(-0.0128622\pi\) |
−0.0403969 | + | 0.999184i | \(0.512862\pi\) | |||||||
\(882\) | − | 17.9309i | − | 0.603764i | ||||||
\(883\) | −23.4233 | −0.788257 | −0.394128 | − | 0.919055i | \(-0.628953\pi\) | ||||
−0.394128 | + | 0.919055i | \(0.628953\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −25.3693 | −0.852780 | ||||||||
\(886\) | − | 79.7235i | − | 2.67836i | ||||||
\(887\) | 13.0380 | + | 13.0380i | 0.437772 | + | 0.437772i | 0.891261 | − | 0.453490i | \(-0.149821\pi\) |
−0.453490 | + | 0.891261i | \(0.649821\pi\) | |||||||
\(888\) | 33.6155 | 1.12806 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 7.24517 | − | 7.24517i | 0.242858 | − | 0.242858i | ||||
\(891\) | −1.10418 | + | 1.10418i | −0.0369916 | + | 0.0369916i | ||||
\(892\) | − | 68.1080i | − | 2.28042i | ||||||
\(893\) | 52.1080i | 1.74373i | ||||||||
\(894\) | −22.1815 | + | 22.1815i | −0.741859 | + | 0.741859i | ||||
\(895\) | −2.20837 | + | 2.20837i | −0.0738176 | + | 0.0738176i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −1.06913 | −0.0356972 | ||||||||
\(898\) | −66.5444 | − | 66.5444i | −2.22061 | − | 2.22061i | ||||
\(899\) | 25.7538i | 0.858937i | ||||||||
\(900\) | 35.0540 | 1.16847 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 14.2462 | 0.474347 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2.03427 | + | 2.03427i | 0.0676589 | + | 0.0676589i | ||||
\(905\) | −21.3693 | −0.710340 | ||||||||
\(906\) | −14.4903 | − | 14.4903i | −0.481409 | − | 0.481409i | ||||
\(907\) | −6.97330 | + | 6.97330i | −0.231545 | + | 0.231545i | −0.813337 | − | 0.581793i | \(-0.802352\pi\) |
0.581793 | + | 0.813337i | \(0.302352\pi\) | |||||||
\(908\) | 45.3312 | − | 45.3312i | 1.50437 | − | 1.50437i | ||||
\(909\) | 10.8769i | 0.360764i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −17.1828 | + | 17.1828i | −0.569292 | + | 0.569292i | −0.931930 | − | 0.362638i | \(-0.881876\pi\) |
0.362638 | + | 0.931930i | \(0.381876\pi\) | |||||||
\(912\) | 25.4558 | − | 25.4558i | 0.842927 | − | 0.842927i | ||||
\(913\) | 0.968253 | + | 0.968253i | 0.0320445 | + | 0.0320445i | ||||
\(914\) | 35.3693 | 1.16991 | ||||||||
\(915\) | −22.9756 | − | 22.9756i | −0.759550 | − | 0.759550i | ||||
\(916\) | − | 27.3693i | − | 0.904308i | ||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.6847 | −0.550376 | −0.275188 | − | 0.961390i | \(-0.588740\pi\) | ||||
−0.275188 | + | 0.961390i | \(0.588740\pi\) | |||||||
\(920\) | − | 56.9848i | − | 1.87873i | ||||||
\(921\) | −22.9756 | − | 22.9756i | −0.757072 | − | 0.757072i | ||||
\(922\) | −21.1231 | −0.695652 | ||||||||
\(923\) | 1.93651 | + | 1.93651i | 0.0637409 | + | 0.0637409i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 27.8383 | − | 27.8383i | 0.915318 | − | 0.915318i | ||||
\(926\) | 104.985i | 3.45002i | ||||||||
\(927\) | 16.6847i | 0.547996i | ||||||||
\(928\) | −38.2601 | + | 38.2601i | −1.25595 | + | 1.25595i | ||||
\(929\) | 2.17020 | − | 2.17020i | 0.0712020 | − | 0.0712020i | −0.670609 | − | 0.741811i | \(-0.733967\pi\) |
0.741811 | + | 0.670609i | \(0.233967\pi\) | |||||||
\(930\) | −20.1472 | − | 20.1472i | −0.660652 | − | 0.660652i | ||||
\(931\) | −32.7926 | −1.07473 | ||||||||
\(932\) | −11.4878 | − | 11.4878i | −0.376296 | − | 0.376296i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −54.7386 | −1.79110 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −2.87689 | −0.0940342 | ||||||||
\(937\) | 22.0000i | 0.718709i | 0.933201 | + | 0.359354i | \(0.117003\pi\) | ||||
−0.933201 | + | 0.359354i | \(0.882997\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 33.6155 | 1.09700 | ||||||||
\(940\) | 127.780 | + | 127.780i | 4.16773 | + | 4.16773i | ||||
\(941\) | 21.2132 | − | 21.2132i | 0.691531 | − | 0.691531i | −0.271038 | − | 0.962569i | \(-0.587367\pi\) |
0.962569 | + | 0.271038i | \(0.0873669\pi\) | |||||||
\(942\) | −12.1079 | + | 12.1079i | −0.394496 | + | 0.394496i | ||||
\(943\) | 8.68466i | 0.282811i | ||||||||
\(944\) | 54.7386i | 1.78159i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −13.2502 | + | 13.2502i | −0.430802 | + | 0.430802i | ||||
\(947\) | −8.48528 | − | 8.48528i | −0.275735 | − | 0.275735i | 0.555669 | − | 0.831404i | \(-0.312462\pi\) |
−0.831404 | + | 0.555669i | \(0.812462\pi\) | |||||||
\(948\) | −42.7386 | −1.38809 | ||||||||
\(949\) | −3.79668 | − | 3.79668i | −0.123245 | − | 0.123245i | ||||
\(950\) | − | 92.2159i | − | 2.99188i | ||||||
\(951\) | 18.0000 | 0.583690 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 36.3542 | 1.17763 | 0.588813 | − | 0.808269i | \(-0.299595\pi\) | ||||
0.588813 | + | 0.808269i | \(0.299595\pi\) | |||||||
\(954\) | 31.3693i | 1.01562i | ||||||||
\(955\) | −12.2820 | − | 12.2820i | −0.397435 | − | 0.397435i | ||||
\(956\) | 28.4924 | 0.921511 | ||||||||
\(957\) | −9.10534 | − | 9.10534i | −0.294334 | − | 0.294334i | ||||
\(958\) | −44.0147 | + | 44.0147i | −1.42205 | + | 1.42205i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | − | 5.12311i | − | 0.165348i | ||||||
\(961\) | − | 21.2462i | − | 0.685362i | ||||||
\(962\) | −4.06854 | + | 4.06854i | −0.131175 | + | 0.131175i | ||||
\(963\) | −3.31255 | + | 3.31255i | −0.106746 | + | 0.106746i | ||||
\(964\) | −10.8677 | − | 10.8677i | −0.350027 | − | 0.350027i | ||||
\(965\) | 27.6155 | 0.888975 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 42.4384i | − | 1.36473i | −0.731012 | − | 0.682364i | \(-0.760952\pi\) | ||
0.731012 | − | 0.682364i | \(-0.239048\pi\) | |||||||
\(968\) | 56.1771 | 1.80560 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 26.2462 | 0.842715 | ||||||||
\(971\) | 43.6155i | 1.39969i | 0.714295 | + | 0.699844i | \(0.246747\pi\) | ||||
−0.714295 | + | 0.699844i | \(0.753253\pi\) | |||||||
\(972\) | −3.22550 | − | 3.22550i | −0.103458 | − | 0.103458i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 31.4609 | + | 31.4609i | 1.00807 | + | 1.00807i | ||||
\(975\) | −2.38247 | + | 2.38247i | −0.0763000 | + | 0.0763000i | ||||
\(976\) | −49.5738 | + | 49.5738i | −1.58682 | + | 1.58682i | ||||
\(977\) | 8.24621i | 0.263820i | 0.991262 | + | 0.131910i | \(0.0421109\pi\) | ||||
−0.991262 | + | 0.131910i | \(0.957889\pi\) | |||||||
\(978\) | − | 38.7386i | − | 1.23872i | ||||||
\(979\) | 1.24012 | − | 1.24012i | 0.0396343 | − | 0.0396343i | ||||
\(980\) | −80.4146 | + | 80.4146i | −2.56875 | + | 2.56875i | ||||
\(981\) | 4.86270 | + | 4.86270i | 0.155254 | + | 0.155254i | ||||
\(982\) | −54.7386 | −1.74678 | ||||||||
\(983\) | 21.8714 | + | 21.8714i | 0.697590 | + | 0.697590i | 0.963890 | − | 0.266300i | \(-0.0858012\pi\) |
−0.266300 | + | 0.963890i | \(0.585801\pi\) | |||||||
\(984\) | 23.3693i | 0.744987i | ||||||||
\(985\) | −31.8078 | −1.01348 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 9.36932i | 0.298078i | ||||||||
\(989\) | −8.07749 | − | 8.07749i | −0.256849 | − | 0.256849i | ||||
\(990\) | 14.2462 | 0.452774 | ||||||||
\(991\) | −30.2208 | − | 30.2208i | −0.959995 | − | 0.959995i | 0.0392354 | − | 0.999230i | \(-0.487508\pi\) |
−0.999230 | + | 0.0392354i | \(0.987508\pi\) | |||||||
\(992\) | −14.4903 | + | 14.4903i | −0.460068 | + | 0.460068i | ||||
\(993\) | −24.6999 | + | 24.6999i | −0.783826 | + | 0.783826i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 56.9848i | 1.80654i | ||||||||
\(996\) | −2.82843 | + | 2.82843i | −0.0896221 | + | 0.0896221i | ||||
\(997\) | −7.07107 | + | 7.07107i | −0.223943 | + | 0.223943i | −0.810157 | − | 0.586214i | \(-0.800618\pi\) |
0.586214 | + | 0.810157i | \(0.300618\pi\) | |||||||
\(998\) | 24.2157 | + | 24.2157i | 0.766535 | + | 0.766535i | ||||
\(999\) | −5.12311 | −0.162088 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))