Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(143,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.l (of order \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3^{4} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 341.1 | ||
Root | \(1.27866 + 1.16834i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.341 |
Dual form | 378.2.l.a.143.5 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −1.77612 | − | 3.07634i | −0.794307 | − | 1.37578i | −0.923278 | − | 0.384132i | \(-0.874501\pi\) |
0.128971 | − | 0.991648i | \(-0.458833\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.63804 | − | 0.201867i | 0.997085 | − | 0.0762987i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.07634 | + | 1.77612i | −0.972824 | + | 0.561660i | ||||
\(11\) | −2.61745 | − | 1.51119i | −0.789191 | − | 0.455639i | 0.0504869 | − | 0.998725i | \(-0.483923\pi\) |
−0.839678 | + | 0.543085i | \(0.817256\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.888944 | − | 0.513232i | −0.246549 | − | 0.142345i | 0.371634 | − | 0.928379i | \(-0.378798\pi\) |
−0.618183 | + | 0.786034i | \(0.712131\pi\) | |||||||
\(14\) | −0.201867 | − | 2.63804i | −0.0539513 | − | 0.705046i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 0.809204 | + | 1.40158i | 0.196261 | + | 0.339934i | 0.947313 | − | 0.320309i | \(-0.103787\pi\) |
−0.751052 | + | 0.660243i | \(0.770453\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −7.12643 | − | 4.11444i | −1.63491 | − | 0.943918i | −0.982547 | − | 0.186016i | \(-0.940442\pi\) |
−0.652368 | − | 0.757903i | \(-0.726224\pi\) | |||||||
\(20\) | 1.77612 | + | 3.07634i | 0.397154 | + | 0.687890i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.51119 | + | 2.61745i | −0.322186 | + | 0.558042i | ||||
\(23\) | −2.90837 | + | 1.67915i | −0.606438 | + | 0.350127i | −0.771570 | − | 0.636144i | \(-0.780528\pi\) |
0.165132 | + | 0.986271i | \(0.447195\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.80924 | + | 6.59779i | −0.761848 | + | 1.31956i | ||||
\(26\) | −0.513232 | + | 0.888944i | −0.100653 | + | 0.174336i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.63804 | + | 0.201867i | −0.498543 | + | 0.0381493i | ||||
\(29\) | 3.70319 | − | 2.13804i | 0.687666 | − | 0.397024i | −0.115071 | − | 0.993357i | \(-0.536710\pi\) |
0.802737 | + | 0.596333i | \(0.203376\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 5.98576i | − | 1.07507i | −0.843240 | − | 0.537537i | \(-0.819355\pi\) | ||
0.843240 | − | 0.537537i | \(-0.180645\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.40158 | − | 0.809204i | 0.240369 | − | 0.138777i | ||||
\(35\) | −5.30650 | − | 7.75696i | −0.896962 | − | 1.31117i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.92323 | − | 5.06319i | 0.480577 | − | 0.832384i | −0.519175 | − | 0.854668i | \(-0.673761\pi\) |
0.999752 | + | 0.0222846i | \(0.00709398\pi\) | |||||||
\(38\) | −4.11444 | + | 7.12643i | −0.667451 | + | 1.15606i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.07634 | − | 1.77612i | 0.486412 | − | 0.280830i | ||||
\(41\) | −0.0472226 | + | 0.0817920i | −0.00737493 | + | 0.0127738i | −0.869689 | − | 0.493600i | \(-0.835681\pi\) |
0.862314 | + | 0.506373i | \(0.169014\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.05899 | + | 5.29833i | 0.466492 | + | 0.807988i | 0.999267 | − | 0.0382684i | \(-0.0121842\pi\) |
−0.532775 | + | 0.846257i | \(0.678851\pi\) | |||||||
\(44\) | 2.61745 | + | 1.51119i | 0.394595 | + | 0.227820i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.67915 | + | 2.90837i | 0.247577 | + | 0.428816i | ||||
\(47\) | 5.14045 | 0.749812 | 0.374906 | − | 0.927063i | \(-0.377675\pi\) | ||||
0.374906 | + | 0.927063i | \(0.377675\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.91850 | − | 1.06507i | 0.988357 | − | 0.152153i | ||||
\(50\) | 6.59779 | + | 3.80924i | 0.933069 | + | 0.538708i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.888944 | + | 0.513232i | 0.123274 | + | 0.0711725i | ||||
\(53\) | 2.76235 | − | 1.59484i | 0.379438 | − | 0.219068i | −0.298136 | − | 0.954523i | \(-0.596365\pi\) |
0.677574 | + | 0.735455i | \(0.263032\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.7362i | 1.44767i | ||||||||
\(56\) | 0.201867 | + | 2.63804i | 0.0269757 | + | 0.352523i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.13804 | − | 3.70319i | −0.280738 | − | 0.486253i | ||||
\(59\) | 8.84071 | 1.15096 | 0.575481 | − | 0.817815i | \(-0.304815\pi\) | ||||
0.575481 | + | 0.817815i | \(0.304815\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 4.69034i | − | 0.600537i | −0.953855 | − | 0.300268i | \(-0.902924\pi\) | ||
0.953855 | − | 0.300268i | \(-0.0970762\pi\) | |||||||
\(62\) | −5.98576 | −0.760192 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 3.64626i | 0.452263i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.375675 | −0.0458961 | −0.0229480 | − | 0.999737i | \(-0.507305\pi\) | ||||
−0.0229480 | + | 0.999737i | \(0.507305\pi\) | |||||||
\(68\) | −0.809204 | − | 1.40158i | −0.0981304 | − | 0.169967i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −7.75696 | + | 5.30650i | −0.927134 | + | 0.634248i | ||||
\(71\) | 13.9868i | 1.65993i | 0.557815 | + | 0.829966i | \(0.311640\pi\) | ||||
−0.557815 | + | 0.829966i | \(0.688360\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.13546 | − | 0.655556i | 0.132895 | − | 0.0767270i | −0.432079 | − | 0.901836i | \(-0.642220\pi\) |
0.564974 | + | 0.825109i | \(0.308886\pi\) | |||||||
\(74\) | −5.06319 | − | 2.92323i | −0.588584 | − | 0.339819i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.12643 | + | 4.11444i | 0.817457 | + | 0.471959i | ||||
\(77\) | −7.20999 | − | 3.45819i | −0.821655 | − | 0.394097i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.924134 | 0.103973 | 0.0519866 | − | 0.998648i | \(-0.483445\pi\) | ||||
0.0519866 | + | 0.998648i | \(0.483445\pi\) | |||||||
\(80\) | −1.77612 | − | 3.07634i | −0.198577 | − | 0.343945i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.0817920 | + | 0.0472226i | 0.00903241 | + | 0.00521487i | ||||
\(83\) | −5.43209 | − | 9.40866i | −0.596250 | − | 1.03273i | −0.993369 | − | 0.114968i | \(-0.963323\pi\) |
0.397119 | − | 0.917767i | \(-0.370010\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.87450 | − | 4.97877i | 0.311783 | − | 0.540024i | ||||
\(86\) | 5.29833 | − | 3.05899i | 0.571334 | − | 0.329860i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.51119 | − | 2.61745i | 0.161093 | − | 0.279021i | ||||
\(89\) | 2.35495 | − | 4.07888i | 0.249624 | − | 0.432361i | −0.713798 | − | 0.700352i | \(-0.753026\pi\) |
0.963421 | + | 0.267991i | \(0.0863598\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.44867 | − | 1.17448i | −0.256691 | − | 0.123119i | ||||
\(92\) | 2.90837 | − | 1.67915i | 0.303219 | − | 0.175063i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | − | 5.14045i | − | 0.530197i | ||||||
\(95\) | 29.2311i | 2.99904i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.3330 | − | 7.69782i | 1.35376 | − | 0.781595i | 0.364988 | − | 0.931012i | \(-0.381073\pi\) |
0.988774 | + | 0.149417i | \(0.0477397\pi\) | |||||||
\(98\) | −1.06507 | − | 6.91850i | −0.107588 | − | 0.698874i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.80924 | − | 6.59779i | 0.380924 | − | 0.659779i | ||||
\(101\) | 6.85234 | − | 11.8686i | 0.681833 | − | 1.18097i | −0.292588 | − | 0.956239i | \(-0.594516\pi\) |
0.974421 | − | 0.224731i | \(-0.0721503\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.64014 | − | 1.52429i | 0.260141 | − | 0.150192i | −0.364258 | − | 0.931298i | \(-0.618677\pi\) |
0.624399 | + | 0.781106i | \(0.285344\pi\) | |||||||
\(104\) | 0.513232 | − | 0.888944i | 0.0503266 | − | 0.0871682i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.59484 | − | 2.76235i | −0.154905 | − | 0.268303i | ||||
\(107\) | 11.3681 | + | 6.56336i | 1.09899 | + | 0.634504i | 0.935956 | − | 0.352116i | \(-0.114538\pi\) |
0.163037 | + | 0.986620i | \(0.447871\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.28574 | + | 9.15516i | 0.506282 | + | 0.876906i | 0.999974 | + | 0.00726875i | \(0.00231373\pi\) |
−0.493692 | + | 0.869637i | \(0.664353\pi\) | |||||||
\(110\) | 10.7362 | 1.02366 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.63804 | − | 0.201867i | 0.249271 | − | 0.0190747i | ||||
\(113\) | −10.6520 | − | 6.14993i | −1.00205 | − | 0.578537i | −0.0931992 | − | 0.995647i | \(-0.529709\pi\) |
−0.908856 | + | 0.417111i | \(0.863043\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 10.3313 | + | 5.96476i | 0.963396 | + | 0.556217i | ||||
\(116\) | −3.70319 | + | 2.13804i | −0.343833 | + | 0.198512i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 8.84071i | − | 0.813853i | ||||||
\(119\) | 2.41765 | + | 3.53408i | 0.221625 | + | 0.323968i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.932639 | − | 1.61538i | −0.0847854 | − | 0.146853i | ||||
\(122\) | −4.69034 | −0.424644 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 5.98576i | 0.537537i | ||||||||
\(125\) | 9.30148 | 0.831950 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.287164 | 0.0254817 | 0.0127408 | − | 0.999919i | \(-0.495944\pi\) | ||||
0.0127408 | + | 0.999919i | \(0.495944\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.64626 | 0.319798 | ||||||||
\(131\) | −0.186474 | − | 0.322983i | −0.0162923 | − | 0.0282192i | 0.857764 | − | 0.514043i | \(-0.171853\pi\) |
−0.874057 | + | 0.485824i | \(0.838520\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −19.6304 | − | 9.41547i | −1.70217 | − | 0.816425i | ||||
\(134\) | 0.375675i | 0.0324534i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.40158 | + | 0.809204i | −0.120185 | + | 0.0693887i | ||||
\(137\) | −6.11607 | − | 3.53111i | −0.522531 | − | 0.301683i | 0.215439 | − | 0.976517i | \(-0.430882\pi\) |
−0.737969 | + | 0.674834i | \(0.764215\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.6320 | − | 7.29308i | −1.07143 | − | 0.618591i | −0.142858 | − | 0.989743i | \(-0.545629\pi\) |
−0.928572 | + | 0.371152i | \(0.878963\pi\) | |||||||
\(140\) | 5.30650 | + | 7.75696i | 0.448481 | + | 0.655583i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 13.9868 | 1.17375 | ||||||||
\(143\) | 1.55118 | + | 2.68672i | 0.129716 | + | 0.224675i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −13.1547 | − | 7.59485i | −1.09244 | − | 0.630718i | ||||
\(146\) | −0.655556 | − | 1.13546i | −0.0542542 | − | 0.0939710i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.92323 | + | 5.06319i | −0.240288 | + | 0.416192i | ||||
\(149\) | 9.26832 | − | 5.35107i | 0.759290 | − | 0.438376i | −0.0697505 | − | 0.997564i | \(-0.522220\pi\) |
0.829041 | + | 0.559188i | \(0.188887\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.00065 | + | 13.8575i | −0.651084 | + | 1.12771i | 0.331777 | + | 0.943358i | \(0.392352\pi\) |
−0.982860 | + | 0.184352i | \(0.940981\pi\) | |||||||
\(152\) | 4.11444 | − | 7.12643i | 0.333726 | − | 0.578030i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.45819 | + | 7.20999i | −0.278669 | + | 0.580998i | ||||
\(155\) | −18.4142 | + | 10.6315i | −1.47907 | + | 0.853939i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 11.5267i | 0.919928i | 0.887937 | + | 0.459964i | \(0.152138\pi\) | ||||
−0.887937 | + | 0.459964i | \(0.847862\pi\) | |||||||
\(158\) | − | 0.924134i | − | 0.0735202i | ||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.07634 | + | 1.77612i | −0.243206 | + | 0.140415i | ||||
\(161\) | −7.33344 | + | 5.01677i | −0.577956 | + | 0.395377i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.37386 | − | 2.37960i | 0.107609 | − | 0.186385i | −0.807192 | − | 0.590289i | \(-0.799014\pi\) |
0.914801 | + | 0.403904i | \(0.132347\pi\) | |||||||
\(164\) | 0.0472226 | − | 0.0817920i | 0.00368747 | − | 0.00638688i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −9.40866 | + | 5.43209i | −0.730254 | + | 0.421612i | ||||
\(167\) | 2.76946 | − | 4.79685i | 0.214307 | − | 0.371191i | −0.738751 | − | 0.673979i | \(-0.764584\pi\) |
0.953058 | + | 0.302788i | \(0.0979173\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.97319 | − | 10.3459i | −0.459476 | − | 0.795835i | ||||
\(170\) | −4.97877 | − | 2.87450i | −0.381854 | − | 0.220464i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.05899 | − | 5.29833i | −0.233246 | − | 0.403994i | ||||
\(173\) | −11.2051 | −0.851905 | −0.425953 | − | 0.904745i | \(-0.640061\pi\) | ||||
−0.425953 | + | 0.904745i | \(0.640061\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.71704 | + | 18.1742i | −0.658946 | + | 1.37384i | ||||
\(176\) | −2.61745 | − | 1.51119i | −0.197298 | − | 0.113910i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −4.07888 | − | 2.35495i | −0.305725 | − | 0.176511i | ||||
\(179\) | 2.37445 | − | 1.37089i | 0.177475 | − | 0.102465i | −0.408631 | − | 0.912700i | \(-0.633994\pi\) |
0.586106 | + | 0.810235i | \(0.300660\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 22.2899i | 1.65679i | 0.560142 | + | 0.828397i | \(0.310747\pi\) | ||||
−0.560142 | + | 0.828397i | \(0.689253\pi\) | |||||||
\(182\) | −1.17448 | + | 2.44867i | −0.0870581 | + | 0.181508i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.67915 | − | 2.90837i | −0.123789 | − | 0.214408i | ||||
\(185\) | −20.7681 | −1.52690 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 4.89143i | − | 0.357697i | ||||||
\(188\) | −5.14045 | −0.374906 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 29.2311 | 2.12064 | ||||||||
\(191\) | 5.13264i | 0.371385i | 0.982608 | + | 0.185692i | \(0.0594528\pi\) | ||||
−0.982608 | + | 0.185692i | \(0.940547\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 15.9847 | 1.15060 | 0.575302 | − | 0.817941i | \(-0.304884\pi\) | ||||
0.575302 | + | 0.817941i | \(0.304884\pi\) | |||||||
\(194\) | −7.69782 | − | 13.3330i | −0.552671 | − | 0.957254i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.91850 | + | 1.06507i | −0.494179 | + | 0.0760763i | ||||
\(197\) | − | 4.72572i | − | 0.336694i | −0.985728 | − | 0.168347i | \(-0.946157\pi\) | ||
0.985728 | − | 0.168347i | \(-0.0538428\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.83679 | − | 1.06047i | 0.130207 | − | 0.0751749i | −0.433482 | − | 0.901162i | \(-0.642715\pi\) |
0.563689 | + | 0.825987i | \(0.309382\pi\) | |||||||
\(200\) | −6.59779 | − | 3.80924i | −0.466534 | − | 0.269354i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −11.8686 | − | 6.85234i | −0.835072 | − | 0.482129i | ||||
\(203\) | 9.33756 | − | 6.38778i | 0.655369 | − | 0.448335i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.335493 | 0.0234319 | ||||||||
\(206\) | −1.52429 | − | 2.64014i | −0.106202 | − | 0.183947i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.888944 | − | 0.513232i | −0.0616372 | − | 0.0355863i | ||||
\(209\) | 12.4354 | + | 21.5387i | 0.860173 | + | 1.48986i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.8079 | + | 23.9160i | −0.950578 | + | 1.64645i | −0.206399 | + | 0.978468i | \(0.566174\pi\) |
−0.744179 | + | 0.667981i | \(0.767159\pi\) | |||||||
\(212\) | −2.76235 | + | 1.59484i | −0.189719 | + | 0.109534i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 6.56336 | − | 11.3681i | 0.448662 | − | 0.777105i | ||||
\(215\) | 10.8663 | − | 18.8210i | 0.741076 | − | 1.28358i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.20833 | − | 15.7907i | −0.0820267 | − | 1.07194i | ||||
\(218\) | 9.15516 | − | 5.28574i | 0.620066 | − | 0.357995i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | − | 10.7362i | − | 0.723835i | ||||||
\(221\) | − | 1.66124i | − | 0.111747i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −17.6209 | + | 10.1734i | −1.17998 | + | 0.681264i | −0.956011 | − | 0.293331i | \(-0.905236\pi\) |
−0.223973 | + | 0.974595i | \(0.571903\pi\) | |||||||
\(224\) | −0.201867 | − | 2.63804i | −0.0134878 | − | 0.176261i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.14993 | + | 10.6520i | −0.409087 | + | 0.708560i | ||||
\(227\) | 2.08000 | − | 3.60266i | 0.138054 | − | 0.239117i | −0.788706 | − | 0.614771i | \(-0.789248\pi\) |
0.926760 | + | 0.375654i | \(0.122582\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.16986 | + | 2.98482i | −0.341634 | + | 0.197242i | −0.660994 | − | 0.750391i | \(-0.729865\pi\) |
0.319361 | + | 0.947633i | \(0.396532\pi\) | |||||||
\(230\) | 5.96476 | − | 10.3313i | 0.393305 | − | 0.681224i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.13804 | + | 3.70319i | 0.140369 | + | 0.243126i | ||||
\(233\) | 3.88603 | + | 2.24360i | 0.254582 | + | 0.146983i | 0.621861 | − | 0.783128i | \(-0.286377\pi\) |
−0.367278 | + | 0.930111i | \(0.619710\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.13009 | − | 15.8138i | −0.595581 | − | 1.03158i | ||||
\(236\) | −8.84071 | −0.575481 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.53408 | − | 2.41765i | 0.229080 | − | 0.156713i | ||||
\(239\) | 3.02944 | + | 1.74905i | 0.195958 | + | 0.113136i | 0.594769 | − | 0.803897i | \(-0.297244\pi\) |
−0.398811 | + | 0.917033i | \(0.630577\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.0170 | + | 5.78332i | 0.645252 | + | 0.372537i | 0.786635 | − | 0.617419i | \(-0.211821\pi\) |
−0.141383 | + | 0.989955i | \(0.545155\pi\) | |||||||
\(242\) | −1.61538 | + | 0.932639i | −0.103840 | + | 0.0599523i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.69034i | 0.300268i | ||||||||
\(245\) | −15.5646 | − | 19.3920i | −0.994387 | − | 1.23891i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.22333 | + | 7.31502i | 0.268724 | + | 0.465444i | ||||
\(248\) | 5.98576 | 0.380096 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | − | 9.30148i | − | 0.588277i | ||||||
\(251\) | −26.7426 | −1.68798 | −0.843988 | − | 0.536361i | \(-0.819798\pi\) | ||||
−0.843988 | + | 0.536361i | \(0.819798\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 10.1500 | 0.638127 | ||||||||
\(254\) | − | 0.287164i | − | 0.0180183i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −2.60614 | − | 4.51396i | −0.162566 | − | 0.281573i | 0.773222 | − | 0.634135i | \(-0.218644\pi\) |
−0.935788 | + | 0.352562i | \(0.885310\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.68951 | − | 13.9470i | 0.415666 | − | 0.866624i | ||||
\(260\) | − | 3.64626i | − | 0.226131i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.322983 | + | 0.186474i | −0.0199540 | + | 0.0115204i | ||||
\(263\) | 13.0228 | + | 7.51869i | 0.803018 | + | 0.463622i | 0.844525 | − | 0.535516i | \(-0.179883\pi\) |
−0.0415076 | + | 0.999138i | \(0.513216\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.81255 | − | 5.66528i | −0.602780 | − | 0.348015i | ||||
\(266\) | −9.41547 | + | 19.6304i | −0.577300 | + | 1.20361i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.375675 | 0.0229480 | ||||||||
\(269\) | 11.5657 | + | 20.0323i | 0.705170 | + | 1.22139i | 0.966630 | + | 0.256177i | \(0.0824628\pi\) |
−0.261460 | + | 0.965214i | \(0.584204\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.58661 | + | 4.95748i | 0.521599 | + | 0.301146i | 0.737589 | − | 0.675250i | \(-0.235964\pi\) |
−0.215989 | + | 0.976396i | \(0.569298\pi\) | |||||||
\(272\) | 0.809204 | + | 1.40158i | 0.0490652 | + | 0.0849834i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.53111 | + | 6.11607i | −0.213322 | + | 0.369485i | ||||
\(275\) | 19.9410 | − | 11.5129i | 1.20249 | − | 0.694256i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.29721 | − | 7.44299i | 0.258195 | − | 0.447206i | −0.707564 | − | 0.706650i | \(-0.750206\pi\) |
0.965758 | + | 0.259443i | \(0.0835391\pi\) | |||||||
\(278\) | −7.29308 | + | 12.6320i | −0.437410 | + | 0.757616i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 7.75696 | − | 5.30650i | 0.463567 | − | 0.317124i | ||||
\(281\) | 17.9508 | − | 10.3639i | 1.07085 | − | 0.618258i | 0.142440 | − | 0.989803i | \(-0.454505\pi\) |
0.928415 | + | 0.371545i | \(0.121172\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.36710i | 0.140709i | 0.997522 | + | 0.0703547i | \(0.0224131\pi\) | ||||
−0.997522 | + | 0.0703547i | \(0.977587\pi\) | |||||||
\(284\) | − | 13.9868i | − | 0.829966i | ||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.68672 | − | 1.55118i | 0.158869 | − | 0.0917231i | ||||
\(287\) | −0.108064 | + | 0.225303i | −0.00637882 | + | 0.0132992i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.19038 | − | 12.4541i | 0.422963 | − | 0.732594i | ||||
\(290\) | −7.59485 | + | 13.1547i | −0.445985 | + | 0.772468i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.13546 | + | 0.655556i | −0.0664475 | + | 0.0383635i | ||||
\(293\) | −8.83774 | + | 15.3074i | −0.516306 | + | 0.894268i | 0.483515 | + | 0.875336i | \(0.339360\pi\) |
−0.999821 | + | 0.0189321i | \(0.993973\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −15.7022 | − | 27.1970i | −0.914218 | − | 1.58347i | ||||
\(296\) | 5.06319 | + | 2.92323i | 0.294292 | + | 0.169910i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.35107 | − | 9.26832i | −0.309979 | − | 0.536899i | ||||
\(299\) | 3.44718 | 0.199355 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 9.13931 | + | 13.3597i | 0.526781 | + | 0.770040i | ||||
\(302\) | 13.8575 | + | 8.00065i | 0.797411 | + | 0.460386i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −7.12643 | − | 4.11444i | −0.408729 | − | 0.235980i | ||||
\(305\) | −14.4291 | + | 8.33063i | −0.826206 | + | 0.477011i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 1.28155i | − | 0.0731422i | −0.999331 | − | 0.0365711i | \(-0.988356\pi\) | ||
0.999331 | − | 0.0365711i | \(-0.0116435\pi\) | |||||||
\(308\) | 7.20999 | + | 3.45819i | 0.410827 | + | 0.197049i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 10.6315 | + | 18.4142i | 0.603826 | + | 1.04586i | ||||
\(311\) | −12.5329 | −0.710673 | −0.355336 | − | 0.934738i | \(-0.615634\pi\) | ||||
−0.355336 | + | 0.934738i | \(0.615634\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.75385i | 0.494797i | 0.968914 | + | 0.247398i | \(0.0795756\pi\) | ||||
−0.968914 | + | 0.247398i | \(0.920424\pi\) | |||||||
\(314\) | 11.5267 | 0.650488 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.924134 | −0.0519866 | ||||||||
\(317\) | 13.6784i | 0.768256i | 0.923280 | + | 0.384128i | \(0.125498\pi\) | ||||
−0.923280 | + | 0.384128i | \(0.874502\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −12.9239 | −0.723599 | ||||||||
\(320\) | 1.77612 | + | 3.07634i | 0.0992884 | + | 0.171973i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 5.01677 | + | 7.33344i | 0.279574 | + | 0.408676i | ||||
\(323\) | − | 13.3177i | − | 0.741017i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.77240 | − | 3.91005i | 0.375665 | − | 0.216890i | ||||
\(326\) | −2.37960 | − | 1.37386i | −0.131794 | − | 0.0760912i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.0817920 | − | 0.0472226i | −0.00451621 | − | 0.00260743i | ||||
\(329\) | 13.5607 | − | 1.03769i | 0.747626 | − | 0.0572097i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.8972 | −0.598962 | −0.299481 | − | 0.954102i | \(-0.596813\pi\) | ||||
−0.299481 | + | 0.954102i | \(0.596813\pi\) | |||||||
\(332\) | 5.43209 | + | 9.40866i | 0.298125 | + | 0.516367i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −4.79685 | − | 2.76946i | −0.262472 | − | 0.151538i | ||||
\(335\) | 0.667247 | + | 1.15570i | 0.0364556 | + | 0.0631429i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 12.8090 | − | 22.1858i | 0.697749 | − | 1.20854i | −0.271496 | − | 0.962440i | \(-0.587518\pi\) |
0.969245 | − | 0.246098i | \(-0.0791484\pi\) | |||||||
\(338\) | −10.3459 | + | 5.97319i | −0.562741 | + | 0.324898i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.87450 | + | 4.97877i | −0.155891 | + | 0.270012i | ||||
\(341\) | −9.04559 | + | 15.6674i | −0.489846 | + | 0.848438i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.0363 | − | 4.20631i | 0.973867 | − | 0.227119i | ||||
\(344\) | −5.29833 | + | 3.05899i | −0.285667 | + | 0.164930i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 11.2051i | 0.602388i | ||||||||
\(347\) | − | 16.7623i | − | 0.899848i | −0.893067 | − | 0.449924i | \(-0.851451\pi\) | ||
0.893067 | − | 0.449924i | \(-0.148549\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 14.4455 | − | 8.34010i | 0.773249 | − | 0.446435i | −0.0607835 | − | 0.998151i | \(-0.519360\pi\) |
0.834032 | + | 0.551716i | \(0.186027\pi\) | |||||||
\(350\) | 18.1742 | + | 8.71704i | 0.971452 | + | 0.465945i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.51119 | + | 2.61745i | −0.0805464 | + | 0.139511i | ||||
\(353\) | 17.9568 | − | 31.1021i | 0.955746 | − | 1.65540i | 0.223093 | − | 0.974797i | \(-0.428385\pi\) |
0.732653 | − | 0.680603i | \(-0.238282\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 43.0282 | − | 24.8424i | 2.28370 | − | 1.31850i | ||||
\(356\) | −2.35495 | + | 4.07888i | −0.124812 | + | 0.216180i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.37089 | − | 2.37445i | −0.0724538 | − | 0.125494i | ||||
\(359\) | −24.7248 | − | 14.2749i | −1.30493 | − | 0.753399i | −0.323681 | − | 0.946166i | \(-0.604921\pi\) |
−0.981245 | + | 0.192767i | \(0.938254\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 24.3573 | + | 42.1881i | 1.28196 | + | 2.22043i | ||||
\(362\) | 22.2899 | 1.17153 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2.44867 | + | 1.17448i | 0.128345 | + | 0.0615594i | ||||
\(365\) | −4.03342 | − | 2.32870i | −0.211119 | − | 0.121890i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.310665 | + | 0.179362i | 0.0162166 | + | 0.00936264i | 0.508086 | − | 0.861306i | \(-0.330353\pi\) |
−0.491870 | + | 0.870669i | \(0.663686\pi\) | |||||||
\(368\) | −2.90837 | + | 1.67915i | −0.151609 | + | 0.0875317i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 20.7681i | 1.07968i | ||||||||
\(371\) | 6.96523 | − | 4.76488i | 0.361617 | − | 0.247380i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −12.6854 | − | 21.9718i | −0.656826 | − | 1.13766i | −0.981433 | − | 0.191807i | \(-0.938565\pi\) |
0.324606 | − | 0.945849i | \(-0.394768\pi\) | |||||||
\(374\) | −4.89143 | −0.252930 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.14045i | 0.265099i | ||||||||
\(377\) | −4.38924 | −0.226057 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 26.9063 | 1.38209 | 0.691043 | − | 0.722814i | \(-0.257152\pi\) | ||||
0.691043 | + | 0.722814i | \(0.257152\pi\) | |||||||
\(380\) | − | 29.2311i | − | 1.49952i | ||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 5.13264 | 0.262609 | ||||||||
\(383\) | 6.28586 | + | 10.8874i | 0.321192 | + | 0.556322i | 0.980734 | − | 0.195346i | \(-0.0625830\pi\) |
−0.659542 | + | 0.751668i | \(0.729250\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.16729 | + | 28.3225i | 0.110455 | + | 1.44345i | ||||
\(386\) | − | 15.9847i | − | 0.813600i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −13.3330 | + | 7.69782i | −0.676881 | + | 0.390798i | ||||
\(389\) | 14.0805 | + | 8.12937i | 0.713909 | + | 0.412175i | 0.812507 | − | 0.582952i | \(-0.198102\pi\) |
−0.0985980 | + | 0.995127i | \(0.531436\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.70694 | − | 2.71755i | −0.238040 | − | 0.137432i | ||||
\(392\) | 1.06507 | + | 6.91850i | 0.0537940 | + | 0.349437i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.72572 | −0.238078 | ||||||||
\(395\) | −1.64138 | − | 2.84295i | −0.0825866 | − | 0.143044i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −12.7252 | − | 7.34692i | −0.638662 | − | 0.368732i | 0.145437 | − | 0.989368i | \(-0.453541\pi\) |
−0.784099 | + | 0.620636i | \(0.786875\pi\) | |||||||
\(398\) | −1.06047 | − | 1.83679i | −0.0531567 | − | 0.0920701i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.80924 | + | 6.59779i | −0.190462 | + | 0.329890i | ||||
\(401\) | −14.4162 | + | 8.32318i | −0.719909 | + | 0.415640i | −0.814719 | − | 0.579855i | \(-0.803109\pi\) |
0.0948099 | + | 0.995495i | \(0.469776\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.07208 | + | 5.32101i | −0.153031 | + | 0.265058i | ||||
\(404\) | −6.85234 | + | 11.8686i | −0.340917 | + | 0.590485i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −6.38778 | − | 9.33756i | −0.317020 | − | 0.463416i | ||||
\(407\) | −15.3028 | + | 8.83510i | −0.758534 | + | 0.437940i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.80886i | 0.138889i | 0.997586 | + | 0.0694446i | \(0.0221227\pi\) | ||||
−0.997586 | + | 0.0694446i | \(0.977877\pi\) | |||||||
\(410\) | − | 0.335493i | − | 0.0165688i | ||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.64014 | + | 1.52429i | −0.130070 | + | 0.0750962i | ||||
\(413\) | 23.3221 | − | 1.78465i | 1.14761 | − | 0.0878169i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −19.2962 | + | 33.4219i | −0.947211 | + | 1.64062i | ||||
\(416\) | −0.513232 | + | 0.888944i | −0.0251633 | + | 0.0435841i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 21.5387 | − | 12.4354i | 1.05349 | − | 0.608234i | ||||
\(419\) | −7.47362 | + | 12.9447i | −0.365110 | + | 0.632390i | −0.988794 | − | 0.149287i | \(-0.952302\pi\) |
0.623684 | + | 0.781677i | \(0.285635\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.80336 | − | 13.5158i | −0.380312 | − | 0.658720i | 0.610794 | − | 0.791789i | \(-0.290850\pi\) |
−0.991107 | + | 0.133069i | \(0.957517\pi\) | |||||||
\(422\) | 23.9160 | + | 13.8079i | 1.16421 | + | 0.672160i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.59484 | + | 2.76235i | 0.0774524 | + | 0.134151i | ||||
\(425\) | −12.3298 | −0.598083 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.946827 | − | 12.3733i | −0.0458201 | − | 0.598786i | ||||
\(428\) | −11.3681 | − | 6.56336i | −0.549496 | − | 0.317252i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −18.8210 | − | 10.8663i | −0.907629 | − | 0.524020i | ||||
\(431\) | 14.0087 | − | 8.08792i | 0.674775 | − | 0.389581i | −0.123109 | − | 0.992393i | \(-0.539286\pi\) |
0.797883 | + | 0.602812i | \(0.205953\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 27.2499i | − | 1.30955i | −0.755824 | − | 0.654774i | \(-0.772764\pi\) | ||
0.755824 | − | 0.654774i | \(-0.227236\pi\) | |||||||
\(434\) | −15.7907 | + | 1.20833i | −0.757976 | + | 0.0580017i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.28574 | − | 9.15516i | −0.253141 | − | 0.438453i | ||||
\(437\) | 27.6351 | 1.32197 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 33.1347i | 1.58143i | 0.612182 | + | 0.790717i | \(0.290292\pi\) | ||||
−0.612182 | + | 0.790717i | \(0.709708\pi\) | |||||||
\(440\) | −10.7362 | −0.511829 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.66124 | −0.0790171 | ||||||||
\(443\) | 22.2636i | 1.05777i | 0.848692 | + | 0.528887i | \(0.177391\pi\) | ||||
−0.848692 | + | 0.528887i | \(0.822609\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −16.7307 | −0.793111 | ||||||||
\(446\) | 10.1734 | + | 17.6209i | 0.481727 | + | 0.834375i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.63804 | + | 0.201867i | −0.124636 | + | 0.00953733i | ||||
\(449\) | 6.80819i | 0.321298i | 0.987012 | + | 0.160649i | \(0.0513588\pi\) | ||||
−0.987012 | + | 0.160649i | \(0.948641\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.247206 | − | 0.142724i | 0.0116405 | − | 0.00672062i | ||||
\(452\) | 10.6520 | + | 6.14993i | 0.501027 | + | 0.289268i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.60266 | − | 2.08000i | −0.169081 | − | 0.0976192i | ||||
\(455\) | 0.736060 | + | 9.61897i | 0.0345070 | + | 0.450944i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 15.2260 | 0.712240 | 0.356120 | − | 0.934440i | \(-0.384099\pi\) | ||||
0.356120 | + | 0.934440i | \(0.384099\pi\) | |||||||
\(458\) | 2.98482 | + | 5.16986i | 0.139471 | + | 0.241572i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −10.3313 | − | 5.96476i | −0.481698 | − | 0.278108i | ||||
\(461\) | −0.103381 | − | 0.179060i | −0.00481492 | − | 0.00833968i | 0.863608 | − | 0.504164i | \(-0.168199\pi\) |
−0.868423 | + | 0.495824i | \(0.834866\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.60217 | + | 13.1673i | −0.353303 | + | 0.611938i | −0.986826 | − | 0.161785i | \(-0.948275\pi\) |
0.633523 | + | 0.773724i | \(0.281608\pi\) | |||||||
\(464\) | 3.70319 | − | 2.13804i | 0.171916 | − | 0.0992560i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.24360 | − | 3.88603i | 0.103933 | − | 0.180017i | ||||
\(467\) | −1.15424 | + | 1.99921i | −0.0534120 | + | 0.0925123i | −0.891495 | − | 0.453030i | \(-0.850343\pi\) |
0.838083 | + | 0.545542i | \(0.183676\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.991047 | + | 0.0758366i | −0.0457623 | + | 0.00350181i | ||||
\(470\) | −15.8138 | + | 9.13009i | −0.729435 | + | 0.421139i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 8.84071i | 0.406927i | ||||||||
\(473\) | − | 18.4908i | − | 0.850209i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 54.2925 | − | 31.3458i | 2.49111 | − | 1.43824i | ||||
\(476\) | −2.41765 | − | 3.53408i | −0.110813 | − | 0.161984i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 1.74905 | − | 3.02944i | 0.0799996 | − | 0.138563i | ||||
\(479\) | −6.21659 | + | 10.7674i | −0.284043 | + | 0.491977i | −0.972377 | − | 0.233417i | \(-0.925009\pi\) |
0.688334 | + | 0.725394i | \(0.258343\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.19719 | + | 3.00060i | −0.236971 | + | 0.136815i | ||||
\(482\) | 5.78332 | − | 10.0170i | 0.263423 | − | 0.456262i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.932639 | + | 1.61538i | 0.0423927 | + | 0.0734263i | ||||
\(485\) | −47.3622 | − | 27.3446i | −2.15061 | − | 1.24165i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −18.6503 | − | 32.3033i | −0.845128 | − | 1.46380i | −0.885510 | − | 0.464620i | \(-0.846191\pi\) |
0.0403829 | − | 0.999184i | \(-0.487142\pi\) | |||||||
\(488\) | 4.69034 | 0.212322 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −19.3920 | + | 15.5646i | −0.876039 | + | 0.703138i | ||||
\(491\) | 11.8191 | + | 6.82377i | 0.533389 | + | 0.307952i | 0.742396 | − | 0.669962i | \(-0.233690\pi\) |
−0.209006 | + | 0.977914i | \(0.567023\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 5.99328 | + | 3.46022i | 0.269924 | + | 0.155840i | ||||
\(494\) | 7.31502 | − | 4.22333i | 0.329118 | − | 0.190017i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 5.98576i | − | 0.268768i | ||||||
\(497\) | 2.82348 | + | 36.8978i | 0.126651 | + | 1.65509i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.5010 | + | 18.1882i | 0.470088 | + | 0.814216i | 0.999415 | − | 0.0342021i | \(-0.0108890\pi\) |
−0.529327 | + | 0.848418i | \(0.677556\pi\) | |||||||
\(500\) | −9.30148 | −0.415975 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 26.7426i | 1.19358i | ||||||||
\(503\) | 22.3018 | 0.994388 | 0.497194 | − | 0.867639i | \(-0.334364\pi\) | ||||
0.497194 | + | 0.867639i | \(0.334364\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −48.6824 | −2.16634 | ||||||||
\(506\) | − | 10.1500i | − | 0.451224i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.287164 | −0.0127408 | ||||||||
\(509\) | 10.9589 | + | 18.9814i | 0.485746 | + | 0.841337i | 0.999866 | − | 0.0163813i | \(-0.00521458\pi\) |
−0.514120 | + | 0.857719i | \(0.671881\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.86304 | − | 1.95859i | 0.126653 | − | 0.0866430i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.51396 | + | 2.60614i | −0.199102 | + | 0.114952i | ||||
\(515\) | −9.37844 | − | 5.41465i | −0.413264 | − | 0.238598i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −13.4549 | − | 7.76818i | −0.591745 | − | 0.341644i | ||||
\(518\) | −13.9470 | − | 6.68951i | −0.612796 | − | 0.293920i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.64626 | −0.159899 | ||||||||
\(521\) | −13.3839 | − | 23.1816i | −0.586358 | − | 1.01560i | −0.994705 | − | 0.102775i | \(-0.967228\pi\) |
0.408346 | − | 0.912827i | \(-0.366106\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 14.8576 | + | 8.57805i | 0.649678 | + | 0.375092i | 0.788333 | − | 0.615249i | \(-0.210945\pi\) |
−0.138655 | + | 0.990341i | \(0.544278\pi\) | |||||||
\(524\) | 0.186474 | + | 0.322983i | 0.00814617 | + | 0.0141096i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.51869 | − | 13.0228i | 0.327831 | − | 0.567819i | ||||
\(527\) | 8.38954 | − | 4.84370i | 0.365454 | − | 0.210995i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.86091 | + | 10.1514i | −0.254822 | + | 0.441365i | ||||
\(530\) | −5.66528 | + | 9.81255i | −0.246084 | + | 0.426230i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 19.6304 | + | 9.41547i | 0.851084 | + | 0.408212i | ||||
\(533\) | 0.0839566 | − | 0.0484723i | 0.00363656 | − | 0.00209957i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 46.6294i | − | 2.01596i | ||||||
\(536\) | − | 0.375675i | − | 0.0162267i | ||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 20.0323 | − | 11.5657i | 0.863654 | − | 0.498631i | ||||
\(539\) | −19.7183 | − | 7.66737i | −0.849329 | − | 0.330257i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.4091 | + | 24.9573i | −0.619496 | + | 1.07300i | 0.370081 | + | 0.928999i | \(0.379330\pi\) |
−0.989578 | + | 0.144000i | \(0.954004\pi\) | |||||||
\(542\) | 4.95748 | − | 8.58661i | 0.212942 | − | 0.368827i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.40158 | − | 0.809204i | 0.0600924 | − | 0.0346943i | ||||
\(545\) | 18.7763 | − | 32.5214i | 0.804286 | − | 1.39306i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −16.4045 | − | 28.4135i | −0.701407 | − | 1.21487i | −0.967972 | − | 0.251056i | \(-0.919222\pi\) |
0.266565 | − | 0.963817i | \(-0.414111\pi\) | |||||||
\(548\) | 6.11607 | + | 3.53111i | 0.261265 | + | 0.150842i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −11.5129 | − | 19.9410i | −0.490913 | − | 0.850286i | ||||
\(551\) | −35.1874 | −1.49903 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.43790 | − | 0.186552i | 0.103670 | − | 0.00793302i | ||||
\(554\) | −7.44299 | − | 4.29721i | −0.316223 | − | 0.182571i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 12.6320 | + | 7.29308i | 0.535715 | + | 0.309295i | ||||
\(557\) | 40.0544 | − | 23.1254i | 1.69716 | − | 0.979855i | 0.748725 | − | 0.662880i | \(-0.230666\pi\) |
0.948434 | − | 0.316975i | \(-0.102667\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 6.27990i | − | 0.265611i | ||||||
\(560\) | −5.30650 | − | 7.75696i | −0.224240 | − | 0.327791i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −10.3639 | − | 17.9508i | −0.437174 | − | 0.757208i | ||||
\(563\) | −1.97727 | −0.0833322 | −0.0416661 | − | 0.999132i | \(-0.513267\pi\) | ||||
−0.0416661 | + | 0.999132i | \(0.513267\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 43.6922i | 1.83814i | ||||||||
\(566\) | 2.36710 | 0.0994966 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −13.9868 | −0.586874 | ||||||||
\(569\) | − | 32.9901i | − | 1.38302i | −0.722369 | − | 0.691508i | \(-0.756947\pi\) | ||
0.722369 | − | 0.691508i | \(-0.243053\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.8065 | 0.619634 | 0.309817 | − | 0.950796i | \(-0.399732\pi\) | ||||
0.309817 | + | 0.950796i | \(0.399732\pi\) | |||||||
\(572\) | −1.55118 | − | 2.68672i | −0.0648580 | − | 0.112337i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.225303 | + | 0.108064i | 0.00940397 | + | 0.00451050i | ||||
\(575\) | − | 25.5851i | − | 1.06697i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −15.9505 | + | 9.20901i | −0.664027 | + | 0.383376i | −0.793810 | − | 0.608166i | \(-0.791905\pi\) |
0.129783 | + | 0.991542i | \(0.458572\pi\) | |||||||
\(578\) | −12.4541 | − | 7.19038i | −0.518022 | − | 0.299080i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 13.1547 | + | 7.59485i | 0.546218 | + | 0.315359i | ||||
\(581\) | −16.2294 | − | 23.7239i | −0.673308 | − | 0.984231i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −9.64041 | −0.399265 | ||||||||
\(584\) | 0.655556 | + | 1.13546i | 0.0271271 | + | 0.0469855i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 15.3074 | + | 8.83774i | 0.632343 | + | 0.365084i | ||||
\(587\) | −23.1065 | − | 40.0216i | −0.953707 | − | 1.65187i | −0.737301 | − | 0.675565i | \(-0.763900\pi\) |
−0.216406 | − | 0.976304i | \(-0.569433\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −24.6281 | + | 42.6571i | −1.01478 | + | 1.75765i | ||||
\(590\) | −27.1970 | + | 15.7022i | −1.11968 | + | 0.646450i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 2.92323 | − | 5.06319i | 0.120144 | − | 0.208096i | ||||
\(593\) | −6.80465 | + | 11.7860i | −0.279434 | + | 0.483993i | −0.971244 | − | 0.238086i | \(-0.923480\pi\) |
0.691810 | + | 0.722079i | \(0.256813\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.57798 | − | 13.7145i | 0.269671 | − | 0.562238i | ||||
\(596\) | −9.26832 | + | 5.35107i | −0.379645 | + | 0.219188i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | − | 3.44718i | − | 0.140965i | ||||||
\(599\) | − | 23.5806i | − | 0.963477i | −0.876315 | − | 0.481739i | \(-0.840005\pi\) | ||
0.876315 | − | 0.481739i | \(-0.159995\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −31.0765 | + | 17.9420i | −1.26764 | + | 0.731871i | −0.974540 | − | 0.224212i | \(-0.928019\pi\) |
−0.293097 | + | 0.956083i | \(0.594686\pi\) | |||||||
\(602\) | 13.3597 | − | 9.13931i | 0.544501 | − | 0.372490i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.00065 | − | 13.8575i | 0.325542 | − | 0.563855i | ||||
\(605\) | −3.31297 | + | 5.73823i | −0.134691 | + | 0.233292i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −16.8502 | + | 9.72845i | −0.683928 | + | 0.394866i | −0.801333 | − | 0.598218i | \(-0.795876\pi\) |
0.117406 | + | 0.993084i | \(0.462542\pi\) | |||||||
\(608\) | −4.11444 | + | 7.12643i | −0.166863 | + | 0.289015i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 8.33063 | + | 14.4291i | 0.337297 | + | 0.584216i | ||||
\(611\) | −4.56958 | − | 2.63825i | −0.184865 | − | 0.106732i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −21.1210 | − | 36.5827i | −0.853071 | − | 1.47756i | −0.878423 | − | 0.477883i | \(-0.841404\pi\) |
0.0253526 | − | 0.999679i | \(-0.491929\pi\) | |||||||
\(614\) | −1.28155 | −0.0517193 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.45819 | − | 7.20999i | 0.139334 | − | 0.290499i | ||||
\(617\) | −9.63660 | − | 5.56369i | −0.387955 | − | 0.223986i | 0.293319 | − | 0.956015i | \(-0.405240\pi\) |
−0.681274 | + | 0.732029i | \(0.738574\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.71387 | + | 5.03096i | 0.350240 | + | 0.202211i | 0.664791 | − | 0.747029i | \(-0.268521\pi\) |
−0.314551 | + | 0.949241i | \(0.601854\pi\) | |||||||
\(620\) | 18.4142 | − | 10.6315i | 0.739533 | − | 0.426969i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 12.5329i | 0.502522i | ||||||||
\(623\) | 5.38904 | − | 11.2356i | 0.215907 | − | 0.450147i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 2.52560 | + | 4.37447i | 0.101024 | + | 0.174979i | ||||
\(626\) | 8.75385 | 0.349874 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 11.5267i | − | 0.459964i | ||||||
\(629\) | 9.46198 | 0.377274 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.3528 | 0.412139 | 0.206070 | − | 0.978537i | \(-0.433933\pi\) | ||||
0.206070 | + | 0.978537i | \(0.433933\pi\) | |||||||
\(632\) | 0.924134i | 0.0367601i | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 13.6784 | 0.543239 | ||||||||
\(635\) | −0.510039 | − | 0.883413i | −0.0202403 | − | 0.0350572i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −6.69679 | − | 2.60401i | −0.265336 | − | 0.103175i | ||||
\(638\) | 12.9239i | 0.511662i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 3.07634 | − | 1.77612i | 0.121603 | − | 0.0702075i | ||||
\(641\) | 23.0678 | + | 13.3182i | 0.911123 | + | 0.526037i | 0.880792 | − | 0.473503i | \(-0.157011\pi\) |
0.0303310 | + | 0.999540i | \(0.490344\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 40.0493 | + | 23.1225i | 1.57939 | + | 0.911861i | 0.994944 | + | 0.100429i | \(0.0320214\pi\) |
0.584446 | + | 0.811433i | \(0.301312\pi\) | |||||||
\(644\) | 7.33344 | − | 5.01677i | 0.288978 | − | 0.197688i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −13.3177 | −0.523978 | ||||||||
\(647\) | 15.7032 | + | 27.1987i | 0.617355 | + | 1.06929i | 0.989966 | + | 0.141303i | \(0.0451293\pi\) |
−0.372611 | + | 0.927988i | \(0.621537\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −23.1401 | − | 13.3600i | −0.908329 | − | 0.524424i | ||||
\(650\) | −3.91005 | − | 6.77240i | −0.153365 | − | 0.265635i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.37386 | + | 2.37960i | −0.0538046 | + | 0.0931923i | ||||
\(653\) | −39.9639 | + | 23.0732i | −1.56391 | + | 0.902924i | −0.567054 | + | 0.823681i | \(0.691917\pi\) |
−0.996855 | + | 0.0792429i | \(0.974750\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.662404 | + | 1.14732i | −0.0258823 | + | 0.0448294i | ||||
\(656\) | −0.0472226 | + | 0.0817920i | −0.00184373 | + | 0.00319344i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.03769 | − | 13.5607i | −0.0404534 | − | 0.528652i | ||||
\(659\) | −1.18052 | + | 0.681575i | −0.0459867 | + | 0.0265504i | −0.522817 | − | 0.852445i | \(-0.675119\pi\) |
0.476830 | + | 0.878995i | \(0.341786\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 7.20404i | − | 0.280205i | −0.990137 | − | 0.140102i | \(-0.955257\pi\) | ||
0.990137 | − | 0.140102i | \(-0.0447431\pi\) | |||||||
\(662\) | 10.8972i | 0.423530i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 9.40866 | − | 5.43209i | 0.365127 | − | 0.210806i | ||||
\(665\) | 5.90080 | + | 77.1127i | 0.228823 | + | 2.99030i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.18018 | + | 12.4364i | −0.278018 | + | 0.481541i | ||||
\(668\) | −2.76946 | + | 4.79685i | −0.107154 | + | 0.185596i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.15570 | − | 0.667247i | 0.0446488 | − | 0.0257780i | ||||
\(671\) | −7.08797 | + | 12.2767i | −0.273628 | + | 0.473938i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 19.4709 | + | 33.7246i | 0.750548 | + | 1.29999i | 0.947558 | + | 0.319585i | \(0.103544\pi\) |
−0.197010 | + | 0.980402i | \(0.563123\pi\) | |||||||
\(674\) | −22.1858 | − | 12.8090i | −0.854565 | − | 0.493383i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.97319 | + | 10.3459i | 0.229738 | + | 0.397918i | ||||
\(677\) | −2.41011 | −0.0926280 | −0.0463140 | − | 0.998927i | \(-0.514747\pi\) | ||||
−0.0463140 | + | 0.998927i | \(0.514747\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 33.6191 | − | 22.9986i | 1.29018 | − | 0.882607i | ||||
\(680\) | 4.97877 | + | 2.87450i | 0.190927 | + | 0.110232i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 15.6674 | + | 9.04559i | 0.599937 | + | 0.346374i | ||||
\(683\) | −24.5302 | + | 14.1625i | −0.938624 | + | 0.541915i | −0.889529 | − | 0.456879i | \(-0.848967\pi\) |
−0.0490952 | + | 0.998794i | \(0.515634\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 25.0868i | 0.958517i | ||||||||
\(686\) | −4.20631 | − | 18.0363i | −0.160598 | − | 0.688628i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.05899 | + | 5.29833i | 0.116623 | + | 0.201997i | ||||
\(689\) | −3.27410 | −0.124733 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 3.41022i | − | 0.129731i | −0.997894 | − | 0.0648655i | \(-0.979338\pi\) | ||
0.997894 | − | 0.0648655i | \(-0.0206618\pi\) | |||||||
\(692\) | 11.2051 | 0.425953 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −16.7623 | −0.636289 | ||||||||
\(695\) | 51.8136i | 1.96540i | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.152851 | −0.00578964 | ||||||||
\(698\) | −8.34010 | − | 14.4455i | −0.315678 | − | 0.546769i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 8.71704 | − | 18.1742i | 0.329473 | − | 0.686920i | ||||
\(701\) | 51.4943i | 1.94491i | 0.233087 | + | 0.972456i | \(0.425117\pi\) | ||||
−0.233087 | + | 0.972456i | \(0.574883\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −41.6644 | + | 24.0550i | −1.57140 | + | 0.907251i | ||||
\(704\) | 2.61745 | + | 1.51119i | 0.0986488 | + | 0.0569549i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −31.1021 | − | 17.9568i | −1.17054 | − | 0.675814i | ||||
\(707\) | 15.6809 | − | 32.6931i | 0.589739 | − | 1.22955i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.0844 | 0.378726 | 0.189363 | − | 0.981907i | \(-0.439358\pi\) | ||||
0.189363 | + | 0.981907i | \(0.439358\pi\) | |||||||
\(710\) | −24.8424 | − | 43.0282i | −0.932317 | − | 1.61482i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 4.07888 | + | 2.35495i | 0.152863 | + | 0.0882553i | ||||
\(713\) | 10.0510 | + | 17.4088i | 0.376412 | + | 0.651965i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.51017 | − | 9.54389i | 0.206069 | − | 0.356921i | ||||
\(716\) | −2.37445 | + | 1.37089i | −0.0887375 | + | 0.0512326i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −14.2749 | + | 24.7248i | −0.532734 | + | 0.922722i | ||||
\(719\) | 15.9584 | − | 27.6408i | 0.595148 | − | 1.03083i | −0.398378 | − | 0.917221i | \(-0.630427\pi\) |
0.993526 | − | 0.113605i | \(-0.0362399\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 6.65709 | − | 4.55409i | 0.247923 | − | 0.169603i | ||||
\(722\) | 42.1881 | − | 24.3573i | 1.57008 | − | 0.906485i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 22.2899i | − | 0.828397i | ||||||
\(725\) | 32.5772i | 1.20989i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −17.9336 | + | 10.3540i | −0.665120 | + | 0.384007i | −0.794225 | − | 0.607624i | \(-0.792123\pi\) |
0.129105 | + | 0.991631i | \(0.458790\pi\) | |||||||
\(728\) | 1.17448 | − | 2.44867i | 0.0435290 | − | 0.0907539i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.32870 | + | 4.03342i | −0.0861889 | + | 0.149284i | ||||
\(731\) | −4.95070 | + | 8.57487i | −0.183108 | + | 0.317153i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.69996 | − | 4.44558i | 0.284405 | − | 0.164201i | −0.351011 | − | 0.936371i | \(-0.614162\pi\) |
0.635416 | + | 0.772170i | \(0.280829\pi\) | |||||||
\(734\) | 0.179362 | − | 0.310665i | 0.00662038 | − | 0.0114668i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.67915 | + | 2.90837i | 0.0618943 | + | 0.107204i | ||||
\(737\) | 0.983312 | + | 0.567715i | 0.0362207 | + | 0.0209121i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −16.3882 | − | 28.3851i | −0.602848 | − | 1.04416i | −0.992388 | − | 0.123154i | \(-0.960699\pi\) |
0.389539 | − | 0.921010i | \(-0.372634\pi\) | |||||||
\(740\) | 20.7681 | 0.763451 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.76488 | − | 6.96523i | −0.174924 | − | 0.255702i | ||||
\(743\) | 6.68055 | + | 3.85702i | 0.245086 | + | 0.141500i | 0.617512 | − | 0.786562i | \(-0.288141\pi\) |
−0.372426 | + | 0.928062i | \(0.621474\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −32.9234 | − | 19.0083i | −1.20622 | − | 0.696411i | ||||
\(746\) | −21.9718 | + | 12.6854i | −0.804445 | + | 0.464446i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 4.89143i | 0.178848i | ||||||||
\(749\) | 31.3143 | + | 15.0196i | 1.14420 | + | 0.548803i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −15.3804 | − | 26.6397i | −0.561239 | − | 0.972095i | −0.997389 | − | 0.0722207i | \(-0.976991\pi\) |
0.436149 | − | 0.899874i | \(-0.356342\pi\) | |||||||
\(752\) | 5.14045 | 0.187453 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.38924i | 0.159847i | ||||||||
\(755\) | 56.8406 | 2.06864 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 46.4611 | 1.68866 | 0.844328 | − | 0.535827i | \(-0.180000\pi\) | ||||
0.844328 | + | 0.535827i | \(0.180000\pi\) | |||||||
\(758\) | − | 26.9063i | − | 0.977282i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −29.2311 | −1.06032 | ||||||||
\(761\) | 18.5959 | + | 32.2090i | 0.674099 | + | 1.16757i | 0.976731 | + | 0.214467i | \(0.0688013\pi\) |
−0.302632 | + | 0.953107i | \(0.597865\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 15.7921 | + | 23.0847i | 0.571713 | + | 0.835721i | ||||
\(764\) | − | 5.13264i | − | 0.185692i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 10.8874 | − | 6.28586i | 0.393379 | − | 0.227117i | ||||
\(767\) | −7.85890 | − | 4.53734i | −0.283768 | − | 0.163834i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −12.2312 | − | 7.06166i | −0.441067 | − | 0.254650i | 0.262983 | − | 0.964800i | \(-0.415294\pi\) |
−0.704050 | + | 0.710150i | \(0.748627\pi\) | |||||||
\(770\) | 28.3225 | − | 2.16729i | 1.02067 | − | 0.0781037i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −15.9847 | −0.575302 | ||||||||
\(773\) | −15.4728 | − | 26.7996i | −0.556517 | − | 0.963915i | −0.997784 | − | 0.0665393i | \(-0.978804\pi\) |
0.441267 | − | 0.897376i | \(-0.354529\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 39.4928 | + | 22.8012i | 1.41862 | + | 0.819043i | ||||
\(776\) | 7.69782 | + | 13.3330i | 0.276336 | + | 0.478627i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 8.12937 | − | 14.0805i | 0.291452 | − | 0.504810i | ||||
\(779\) | 0.673057 | − | 0.388590i | 0.0241148 | − | 0.0139227i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 21.1367 | − | 36.6098i | 0.756330 | − | 1.31000i | ||||
\(782\) | −2.71755 | + | 4.70694i | −0.0971794 | + | 0.168320i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.91850 | − | 1.06507i | 0.247089 | − | 0.0380381i | ||||
\(785\) | 35.4599 | − | 20.4728i | 1.26562 | − | 0.730706i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 18.3256i | 0.653237i | 0.945156 | + | 0.326619i | \(0.105909\pi\) | ||||
−0.945156 | + | 0.326619i | \(0.894091\pi\) | |||||||
\(788\) | 4.72572i | 0.168347i | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.84295 | + | 1.64138i | −0.101148 | + | 0.0583976i | ||||
\(791\) | −29.3418 | − | 14.0735i | −1.04328 | − | 0.500395i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.40723 | + | 4.16945i | −0.0854834 | + | 0.148062i | ||||
\(794\) | −7.34692 | + | 12.7252i | −0.260733 | + | 0.451602i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.83679 | + | 1.06047i | −0.0651034 | + | 0.0375875i | ||||
\(797\) | 1.07681 | − | 1.86508i | 0.0381424 | − | 0.0660646i | −0.846324 | − | 0.532668i | \(-0.821189\pi\) |
0.884466 | + | 0.466604i | \(0.154523\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.15968 | + | 7.20477i | 0.147159 | + | 0.254886i | ||||
\(800\) | 6.59779 | + | 3.80924i | 0.233267 | + | 0.134677i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.32318 | + | 14.4162i | 0.293902 | + | 0.509053i | ||||
\(803\) | −3.96266 | −0.139839 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 28.4584 | + | 13.6497i | 1.00303 | + | 0.481090i | ||||
\(806\) | 5.32101 | + | 3.07208i | 0.187424 | + | 0.108210i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 11.8686 | + | 6.85234i | 0.417536 | + | 0.241064i | ||||
\(809\) | −17.0147 | + | 9.82342i | −0.598204 | + | 0.345373i | −0.768335 | − | 0.640048i | \(-0.778914\pi\) |
0.170131 | + | 0.985421i | \(0.445581\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.3340i | 0.433105i | 0.976271 | + | 0.216552i | \(0.0694812\pi\) | ||||
−0.976271 | + | 0.216552i | \(0.930519\pi\) | |||||||
\(812\) | −9.33756 | + | 6.38778i | −0.327684 | + | 0.224167i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 8.83510 | + | 15.3028i | 0.309670 | + | 0.536364i | ||||
\(815\) | −9.76061 | −0.341899 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 50.3443i | − | 1.76132i | ||||||
\(818\) | 2.80886 | 0.0982095 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.335493 | −0.0117159 | ||||||||
\(821\) | − | 22.3738i | − | 0.780853i | −0.920634 | − | 0.390426i | \(-0.872328\pi\) | ||
0.920634 | − | 0.390426i | \(-0.127672\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 27.0065 | 0.941388 | 0.470694 | − | 0.882297i | \(-0.344004\pi\) | ||||
0.470694 | + | 0.882297i | \(0.344004\pi\) | |||||||
\(824\) | 1.52429 | + | 2.64014i | 0.0531010 | + | 0.0919737i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.78465 | − | 23.3221i | −0.0620959 | − | 0.811481i | ||||
\(827\) | − | 26.3189i | − | 0.915196i | −0.889159 | − | 0.457598i | \(-0.848710\pi\) | ||
0.889159 | − | 0.457598i | \(-0.151290\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 28.8691 | − | 16.6676i | 1.00266 | − | 0.578888i | 0.0936287 | − | 0.995607i | \(-0.470153\pi\) |
0.909035 | + | 0.416719i | \(0.136820\pi\) | |||||||
\(830\) | 33.4219 | + | 19.2962i | 1.16009 | + | 0.669779i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.888944 | + | 0.513232i | 0.0308186 | + | 0.0177931i | ||||
\(833\) | 7.09126 | + | 8.83499i | 0.245698 | + | 0.306114i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −19.6756 | −0.680903 | ||||||||
\(836\) | −12.4354 | − | 21.5387i | −0.430086 | − | 0.744932i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 12.9447 | + | 7.47362i | 0.447167 | + | 0.258172i | ||||
\(839\) | 18.6896 | + | 32.3713i | 0.645236 | + | 1.11758i | 0.984247 | + | 0.176799i | \(0.0565743\pi\) |
−0.339011 | + | 0.940782i | \(0.610092\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.35758 | + | 9.27960i | −0.184744 | + | 0.319986i | ||||
\(842\) | −13.5158 | + | 7.80336i | −0.465786 | + | 0.268922i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 13.8079 | − | 23.9160i | 0.475289 | − | 0.823224i | ||||
\(845\) | −21.2182 | + | 36.7511i | −0.729930 | + | 1.26428i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.78643 | − | 4.07316i | −0.0957429 | − | 0.139956i | ||||
\(848\) | 2.76235 | − | 1.59484i | 0.0948594 | − | 0.0547671i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 12.3298i | 0.422909i | ||||||||
\(851\) | 19.6342i | 0.673052i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.65798 | + | 2.68929i | −0.159486 | + | 0.0920795i | −0.577619 | − | 0.816306i | \(-0.696018\pi\) |
0.418133 | + | 0.908386i | \(0.362685\pi\) | |||||||
\(854\) | −12.3733 | + | 0.946827i | −0.423406 | + | 0.0323997i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −6.56336 | + | 11.3681i | −0.224331 | + | 0.388553i | ||||
\(857\) | −22.7000 | + | 39.3176i | −0.775418 | + | 1.34306i | 0.159142 | + | 0.987256i | \(0.449127\pi\) |
−0.934559 | + | 0.355807i | \(0.884206\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.36261 | − | 1.94141i | 0.114731 | − | 0.0662399i | −0.441536 | − | 0.897243i | \(-0.645566\pi\) |
0.556267 | + | 0.831003i | \(0.312233\pi\) | |||||||
\(860\) | −10.8663 | + | 18.8210i | −0.370538 | + | 0.641791i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −8.08792 | − | 14.0087i | −0.275476 | − | 0.477138i | ||||
\(863\) | 20.3332 | + | 11.7394i | 0.692152 | + | 0.399614i | 0.804418 | − | 0.594064i | \(-0.202478\pi\) |
−0.112266 | + | 0.993678i | \(0.535811\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 19.9016 | + | 34.4706i | 0.676674 | + | 1.17203i | ||||
\(866\) | −27.2499 | −0.925991 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.20833 | + | 15.7907i | 0.0410134 | + | 0.535970i | ||||
\(869\) | −2.41887 | − | 1.39654i | −0.0820547 | − | 0.0473743i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.333955 | + | 0.192809i | 0.0113156 | + | 0.00653308i | ||||
\(872\) | −9.15516 | + | 5.28574i | −0.310033 | + | 0.178998i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | − | 27.6351i | − | 0.934770i | ||||||
\(875\) | 24.5377 | − | 1.87766i | 0.829524 | − | 0.0634767i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −16.4796 | − | 28.5434i | −0.556475 | − | 0.963843i | −0.997787 | − | 0.0664896i | \(-0.978820\pi\) |
0.441312 | − | 0.897354i | \(-0.354513\pi\) | |||||||
\(878\) | 33.1347 | 1.11824 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 10.7362i | 0.361918i | ||||||||
\(881\) | −7.44403 | −0.250796 | −0.125398 | − | 0.992107i | \(-0.540021\pi\) | ||||
−0.125398 | + | 0.992107i | \(0.540021\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −28.2839 | −0.951828 | −0.475914 | − | 0.879492i | \(-0.657883\pi\) | ||||
−0.475914 | + | 0.879492i | \(0.657883\pi\) | |||||||
\(884\) | 1.66124i | 0.0558735i | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 22.2636 | 0.747960 | ||||||||
\(887\) | −6.06377 | − | 10.5028i | −0.203602 | − | 0.352648i | 0.746085 | − | 0.665851i | \(-0.231931\pi\) |
−0.949686 | + | 0.313203i | \(0.898598\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.757550 | − | 0.0579690i | 0.0254074 | − | 0.00194422i | ||||
\(890\) | 16.7307i | 0.560814i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 17.6209 | − | 10.1734i | 0.589992 | − | 0.340632i | ||||
\(893\) | −36.6331 | − | 21.1501i | −1.22588 | − | 0.707761i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −8.43465 | − | 4.86975i | −0.281939 | − | 0.162778i | ||||
\(896\) | 0.201867 | + | 2.63804i | 0.00674391 | + | 0.0881307i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.80819 | 0.227192 | ||||||||
\(899\) | −12.7978 | − | 22.1664i | −0.426830 | − | 0.739291i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.47061 | + | 2.58111i | 0.148938 | + | 0.0859891i | ||||
\(902\) | −0.142724 | − | 0.247206i | −0.00475220 | − | 0.00823105i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 6.14993 | − | 10.6520i | 0.204544 | − | 0.354280i | ||||
\(905\) | 68.5712 | − | 39.5896i | 2.27938 | − | 1.31600i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 23.0890 | − | 39.9913i | 0.766657 | − | 1.32789i | −0.172709 | − | 0.984973i | \(-0.555252\pi\) |
0.939366 | − | 0.342916i | \(-0.111415\pi\) | |||||||
\(908\) | −2.08000 | + | 3.60266i | −0.0690272 | + | 0.119559i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 9.61897 | − | 0.736060i | 0.318866 | − | 0.0244002i | ||||
\(911\) | 12.7284 | − | 7.34874i | 0.421710 | − | 0.243475i | −0.274098 | − | 0.961702i | \(-0.588379\pi\) |
0.695809 | + | 0.718227i | \(0.255046\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 32.8356i | 1.08670i | ||||||||
\(914\) | − | 15.2260i | − | 0.503630i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 5.16986 | − | 2.98482i | 0.170817 | − | 0.0986212i | ||||
\(917\) | −0.557126 | − | 0.814399i | −0.0183979 | − | 0.0268938i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −12.9345 | + | 22.4033i | −0.426671 | + | 0.739015i | −0.996575 | − | 0.0826958i | \(-0.973647\pi\) |
0.569904 | + | 0.821711i | \(0.306980\pi\) | |||||||
\(920\) | −5.96476 | + | 10.3313i | −0.196652 | + | 0.340612i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.179060 | + | 0.103381i | −0.00589704 | + | 0.00340466i | ||||
\(923\) | 7.17849 | − | 12.4335i | 0.236283 | − | 0.409254i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 22.2706 | + | 38.5738i | 0.732253 | + | 1.26830i | ||||
\(926\) | 13.1673 | + | 7.60217i | 0.432706 | + | 0.249823i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −2.13804 | − | 3.70319i | −0.0701846 | − | 0.121563i | ||||
\(929\) | −13.1935 | −0.432863 | −0.216432 | − | 0.976298i | \(-0.569442\pi\) | ||||
−0.216432 | + | 0.976298i | \(0.569442\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −53.6863 | − | 20.8757i | −1.75950 | − | 0.684172i | ||||
\(932\) | −3.88603 | − | 2.24360i | −0.127291 | − | 0.0734915i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 1.99921 | + | 1.15424i | 0.0654161 | + | 0.0377680i | ||||
\(935\) | −15.0477 | + | 8.68779i | −0.492112 | + | 0.284121i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 8.86021i | 0.289451i | 0.989472 | + | 0.144725i | \(0.0462298\pi\) | ||||
−0.989472 | + | 0.144725i | \(0.953770\pi\) | |||||||
\(938\) | 0.0758366 | + | 0.991047i | 0.00247615 | + | 0.0323588i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 9.13009 | + | 15.8138i | 0.297791 | + | 0.515788i | ||||
\(941\) | 4.11839 | 0.134256 | 0.0671278 | − | 0.997744i | \(-0.478616\pi\) | ||||
0.0671278 | + | 0.997744i | \(0.478616\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 0.317175i | − | 0.0103287i | ||||||
\(944\) | 8.84071 | 0.287741 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −18.4908 | −0.601189 | ||||||||
\(947\) | − | 24.7681i | − | 0.804854i | −0.915452 | − | 0.402427i | \(-0.868167\pi\) | ||
0.915452 | − | 0.402427i | \(-0.131833\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.34581 | −0.0436868 | ||||||||
\(950\) | −31.3458 | − | 54.2925i | −1.01699 | − | 1.76148i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −3.53408 | + | 2.41765i | −0.114540 | + | 0.0783564i | ||||
\(953\) | 9.62625i | 0.311825i | 0.987771 | + | 0.155912i | \(0.0498317\pi\) | ||||
−0.987771 | + | 0.155912i | \(0.950168\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 15.7897 | − | 9.11620i | 0.510944 | − | 0.294993i | ||||
\(956\) | −3.02944 | − | 1.74905i | −0.0979790 | − | 0.0565682i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 10.7674 | + | 6.21659i | 0.347880 | + | 0.200849i | ||||
\(959\) | −16.8472 | − | 8.08058i | −0.544026 | − | 0.260935i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4.82931 | −0.155784 | ||||||||
\(962\) | 3.00060 | + | 5.19719i | 0.0967431 | + | 0.167564i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −10.0170 | − | 5.78332i | −0.322626 | − | 0.186268i | ||||
\(965\) | −28.3908 | − | 49.1744i | −0.913933 | − | 1.58298i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.05558 | − | 8.75652i | 0.162576 | − | 0.281591i | −0.773216 | − | 0.634143i | \(-0.781353\pi\) |
0.935792 | + | 0.352553i | \(0.114686\pi\) | |||||||
\(968\) | 1.61538 | − | 0.932639i | 0.0519202 | − | 0.0299762i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −27.3446 | + | 47.3622i | −0.877981 | + | 1.52071i | ||||
\(971\) | 12.6574 | − | 21.9233i | 0.406196 | − | 0.703552i | −0.588264 | − | 0.808669i | \(-0.700188\pi\) |
0.994460 | + | 0.105117i | \(0.0335216\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −34.7959 | − | 16.6894i | −1.11550 | − | 0.535039i | ||||
\(974\) | −32.3033 | + | 18.6503i | −1.03507 | + | 0.597595i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | − | 4.69034i | − | 0.150134i | ||||||
\(977\) | − | 9.05294i | − | 0.289629i | −0.989459 | − | 0.144815i | \(-0.953741\pi\) | ||
0.989459 | − | 0.144815i | \(-0.0462586\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −12.3279 | + | 7.11752i | −0.394001 | + | 0.227477i | ||||
\(980\) | 15.5646 | + | 19.3920i | 0.497194 | + | 0.619453i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 6.82377 | − | 11.8191i | 0.217755 | − | 0.377163i | ||||
\(983\) | 3.19651 | − | 5.53653i | 0.101953 | − | 0.176588i | −0.810536 | − | 0.585688i | \(-0.800824\pi\) |
0.912489 | + | 0.409101i | \(0.134158\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −14.5379 | + | 8.39347i | −0.463216 | + | 0.267438i | ||||
\(986\) | 3.46022 | − | 5.99328i | 0.110196 | − | 0.190865i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −4.22333 | − | 7.31502i | −0.134362 | − | 0.232722i | ||||
\(989\) | −17.7934 | − | 10.2730i | −0.565797 | − | 0.326663i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.92230 | + | 11.9898i | 0.219894 | + | 0.380868i | 0.954775 | − | 0.297328i | \(-0.0960954\pi\) |
−0.734881 | + | 0.678196i | \(0.762762\pi\) | |||||||
\(992\) | −5.98576 | −0.190048 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 36.8978 | − | 2.82348i | 1.17033 | − | 0.0895555i | ||||
\(995\) | −6.52475 | − | 3.76706i | −0.206848 | − | 0.119424i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −5.99391 | − | 3.46059i | −0.189829 | − | 0.109598i | 0.402073 | − | 0.915607i | \(-0.368290\pi\) |
−0.591903 | + | 0.806010i | \(0.701623\pi\) | |||||||
\(998\) | 18.1882 | − | 10.5010i | 0.575737 | − | 0.332402i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))