Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(289,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.bs (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 8x^{10} + 54x^{8} - 78x^{6} + 92x^{4} - 10x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 289.4 | ||
Root | \(0.286513 + 0.165418i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 585.289 |
Dual form | 585.2.bs.a.334.4 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.286513 | − | 0.165418i | 0.202595 | − | 0.116968i | −0.395270 | − | 0.918565i | \(-0.629349\pi\) |
0.597865 | + | 0.801597i | \(0.296016\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.945274 | + | 1.63726i | −0.472637 | + | 0.818631i | ||||
\(5\) | 2.12291 | + | 0.702335i | 0.949392 | + | 0.314094i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.90420 | + | 1.67674i | 1.09768 | + | 0.633748i | 0.935611 | − | 0.353031i | \(-0.114849\pi\) |
0.162072 | + | 0.986779i | \(0.448182\pi\) | |||||||
\(8\) | 1.28714i | 0.455071i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.724419 | − | 0.149939i | 0.229081 | − | 0.0474150i | ||||
\(11\) | −1.62291 | − | 2.81095i | −0.489324 | − | 0.847535i | 0.510600 | − | 0.859818i | \(-0.329423\pi\) |
−0.999925 | + | 0.0122837i | \(0.996090\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.21648 | + | 3.39414i | −0.337391 | + | 0.941365i | ||||
\(14\) | 1.10945 | 0.296514 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.67763 | − | 2.90574i | −0.419408 | − | 0.726436i | ||||
\(17\) | 1.68772 | + | 0.974404i | 0.409332 | + | 0.236328i | 0.690503 | − | 0.723330i | \(-0.257389\pi\) |
−0.281171 | + | 0.959658i | \(0.590723\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.622905 | + | 1.07890i | −0.142904 | + | 0.247517i | −0.928589 | − | 0.371110i | \(-0.878977\pi\) |
0.785685 | + | 0.618627i | \(0.212311\pi\) | |||||||
\(20\) | −3.15663 | + | 2.81185i | −0.705844 | + | 0.628750i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.929966 | − | 0.536916i | −0.198269 | − | 0.114471i | ||||
\(23\) | −2.33117 | + | 1.34590i | −0.486083 | + | 0.280640i | −0.722948 | − | 0.690903i | \(-0.757213\pi\) |
0.236865 | + | 0.971543i | \(0.423880\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.01345 | + | 2.98198i | 0.802690 | + | 0.596396i | ||||
\(26\) | 0.212916 | + | 1.17369i | 0.0417562 | + | 0.230180i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.49052 | + | 3.16995i | −1.03761 | + | 0.599065i | ||||
\(29\) | −1.50000 | − | 2.59808i | −0.278543 | − | 0.482451i | 0.692480 | − | 0.721437i | \(-0.256518\pi\) |
−0.971023 | + | 0.238987i | \(0.923185\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.78109 | 0.679105 | 0.339552 | − | 0.940587i | \(-0.389724\pi\) | ||||
0.339552 | + | 0.940587i | \(0.389724\pi\) | |||||||
\(32\) | −3.19071 | − | 1.84216i | −0.564043 | − | 0.325650i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.644737 | 0.110571 | ||||||||
\(35\) | 4.98770 | + | 5.59927i | 0.843076 | + | 0.946450i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.68772 | + | 0.974404i | −0.277459 | + | 0.160191i | −0.632273 | − | 0.774746i | \(-0.717878\pi\) |
0.354813 | + | 0.934937i | \(0.384544\pi\) | |||||||
\(38\) | 0.412160i | 0.0668611i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.904000 | + | 2.73247i | −0.142935 | + | 0.432041i | ||||
\(41\) | 1.39055 | + | 2.40850i | 0.217167 | + | 0.376144i | 0.953941 | − | 0.299995i | \(-0.0969851\pi\) |
−0.736774 | + | 0.676139i | \(0.763652\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.56654 | + | 4.36854i | 1.15389 | + | 0.666197i | 0.949831 | − | 0.312763i | \(-0.101255\pi\) |
0.204055 | + | 0.978959i | \(0.434588\pi\) | |||||||
\(44\) | 6.13636 | 0.925091 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.445274 | + | 0.771236i | −0.0656520 | + | 0.113713i | ||||
\(47\) | − | 6.86960i | − | 1.00203i | −0.865437 | − | 0.501017i | \(-0.832959\pi\) | ||
0.865437 | − | 0.501017i | \(-0.167041\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.12291 | + | 3.67698i | 0.303272 | + | 0.525283i | ||||
\(50\) | 1.64318 | + | 0.190477i | 0.232381 | + | 0.0269375i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.40719 | − | 5.20008i | −0.611167 | − | 0.721122i | ||||
\(53\) | 12.8336i | 1.76282i | 0.472347 | + | 0.881412i | \(0.343407\pi\) | ||||
−0.472347 | + | 0.881412i | \(0.656593\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.47104 | − | 7.10721i | −0.198355 | − | 0.958336i | ||||
\(56\) | −2.15819 | + | 3.73809i | −0.288400 | + | 0.499524i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.859539 | − | 0.496255i | −0.112863 | − | 0.0651614i | ||||
\(59\) | 1.26764 | − | 2.19562i | 0.165033 | − | 0.285845i | −0.771634 | − | 0.636067i | \(-0.780560\pi\) |
0.936667 | + | 0.350221i | \(0.113894\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.74581 | − | 6.48793i | 0.479602 | − | 0.830695i | −0.520124 | − | 0.854090i | \(-0.674114\pi\) |
0.999726 | + | 0.0233957i | \(0.00744777\pi\) | |||||||
\(62\) | 1.08333 | − | 0.625462i | 0.137583 | − | 0.0794338i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.49162 | 0.686453 | ||||||||
\(65\) | −4.96629 | + | 6.35106i | −0.615993 | + | 0.787752i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.47722 | − | 2.00758i | 0.424810 | − | 0.245264i | −0.272323 | − | 0.962206i | \(-0.587792\pi\) |
0.697133 | + | 0.716942i | \(0.254459\pi\) | |||||||
\(68\) | −3.19071 | + | 1.84216i | −0.386930 | + | 0.223394i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.35526 | + | 0.779207i | 0.281508 | + | 0.0931331i | ||||
\(71\) | 2.62291 | − | 4.54300i | 0.311282 | − | 0.539155i | −0.667359 | − | 0.744737i | \(-0.732575\pi\) |
0.978640 | + | 0.205581i | \(0.0659084\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 5.46493i | − | 0.639622i | −0.947481 | − | 0.319811i | \(-0.896381\pi\) | ||
0.947481 | − | 0.319811i | \(-0.103619\pi\) | |||||||
\(74\) | −0.322368 | + | 0.558359i | −0.0374746 | + | 0.0649079i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.17763 | − | 2.03972i | −0.135084 | − | 0.233972i | ||||
\(77\) | − | 10.8848i | − | 1.24043i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −13.7811 | −1.55049 | −0.775247 | − | 0.631658i | \(-0.782375\pi\) | ||||
−0.775247 | + | 0.631658i | \(0.782375\pi\) | |||||||
\(80\) | −1.52065 | − | 7.34688i | −0.170014 | − | 0.821406i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.796819 | + | 0.460044i | 0.0879940 | + | 0.0508033i | ||||
\(83\) | − | 8.61955i | − | 0.946119i | −0.881031 | − | 0.473059i | \(-0.843150\pi\) | ||
0.881031 | − | 0.473059i | \(-0.156850\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.89851 | + | 3.25391i | 0.314387 | + | 0.352936i | ||||
\(86\) | 2.89055 | 0.311696 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.61808 | − | 2.08890i | 0.385688 | − | 0.222677i | ||||
\(89\) | −5.15819 | − | 8.93425i | −0.546767 | − | 0.947028i | −0.998493 | − | 0.0548717i | \(-0.982525\pi\) |
0.451726 | − | 0.892156i | \(-0.350808\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.22398 | + | 7.81753i | −0.966936 | + | 0.819500i | ||||
\(92\) | − | 5.08898i | − | 0.530563i | ||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.13636 | − | 1.96823i | −0.117206 | − | 0.203007i | ||||
\(95\) | −2.08012 | + | 1.85292i | −0.213416 | + | 0.190106i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.56055 | − | 2.63304i | −0.463054 | − | 0.267344i | 0.250273 | − | 0.968175i | \(-0.419479\pi\) |
−0.713328 | + | 0.700831i | \(0.752813\pi\) | |||||||
\(98\) | 1.21648 | + | 0.702335i | 0.122883 | + | 0.0709465i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −8.67609 | + | 3.75229i | −0.867609 | + | 0.375229i | ||||
\(101\) | 2.85526 | + | 4.94546i | 0.284109 | + | 0.492092i | 0.972393 | − | 0.233350i | \(-0.0749688\pi\) |
−0.688283 | + | 0.725442i | \(0.741635\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 7.36863i | − | 0.726052i | −0.931779 | − | 0.363026i | \(-0.881744\pi\) | ||
0.931779 | − | 0.363026i | \(-0.118256\pi\) | |||||||
\(104\) | −4.36872 | − | 1.56577i | −0.428388 | − | 0.153537i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.12291 | + | 3.67698i | 0.206195 | + | 0.357140i | ||||
\(107\) | 7.42568 | − | 4.28722i | 0.717868 | − | 0.414461i | −0.0960996 | − | 0.995372i | \(-0.530637\pi\) |
0.813967 | + | 0.580911i | \(0.197303\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.49162 | 0.813350 | 0.406675 | − | 0.913573i | \(-0.366688\pi\) | ||||
0.406675 | + | 0.913573i | \(0.366688\pi\) | |||||||
\(110\) | −1.59714 | − | 1.79297i | −0.152281 | − | 0.170953i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | − | 11.2518i | − | 1.06320i | ||||||
\(113\) | −6.35006 | − | 3.66621i | −0.597363 | − | 0.344888i | 0.170640 | − | 0.985333i | \(-0.445416\pi\) |
−0.768004 | + | 0.640446i | \(0.778750\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.89413 | + | 1.21996i | −0.549630 | + | 0.113762i | ||||
\(116\) | 5.67164 | 0.526599 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 0.838765i | − | 0.0772145i | ||||||
\(119\) | 3.26764 | + | 5.65972i | 0.299544 | + | 0.518826i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.232358 | − | 0.402456i | 0.0211234 | − | 0.0365869i | ||||
\(122\) | − | 2.47850i | − | 0.224393i | ||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.57417 | + | 6.19064i | −0.320970 | + | 0.555936i | ||||
\(125\) | 6.42583 | + | 9.14925i | 0.574744 | + | 0.818333i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.93599 | − | 4.58185i | 0.704205 | − | 0.406573i | −0.104707 | − | 0.994503i | \(-0.533390\pi\) |
0.808912 | + | 0.587930i | \(0.200057\pi\) | |||||||
\(128\) | 7.95484 | − | 4.59273i | 0.703115 | − | 0.405944i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.372325 | + | 2.64118i | −0.0326551 | + | 0.231646i | ||||
\(131\) | −10.0000 | −0.873704 | −0.436852 | − | 0.899533i | \(-0.643907\pi\) | ||||
−0.436852 | + | 0.899533i | \(0.643907\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.61808 | + | 2.08890i | −0.313727 | + | 0.181130i | ||||
\(134\) | 0.664179 | − | 1.15039i | 0.0573763 | − | 0.0993787i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.25419 | + | 2.17232i | −0.107546 | + | 0.186275i | ||||
\(137\) | −14.5914 | − | 8.42435i | −1.24663 | − | 0.719741i | −0.276193 | − | 0.961102i | \(-0.589073\pi\) |
−0.970435 | + | 0.241361i | \(0.922406\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.513452 | + | 0.889325i | −0.0435505 | + | 0.0754316i | −0.886979 | − | 0.461810i | \(-0.847200\pi\) |
0.843429 | + | 0.537241i | \(0.180534\pi\) | |||||||
\(140\) | −13.8822 | + | 2.87333i | −1.17326 | + | 0.242841i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | − | 1.73551i | − | 0.145640i | ||||||
\(143\) | 11.5150 | − | 2.08890i | 0.962933 | − | 0.174682i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.35964 | − | 6.56897i | −0.112912 | − | 0.545523i | ||||
\(146\) | −0.904000 | − | 1.56577i | −0.0748155 | − | 0.129584i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 3.68431i | − | 0.302849i | ||||||
\(149\) | −7.92583 | + | 13.7279i | −0.649309 | + | 1.12464i | 0.333979 | + | 0.942581i | \(0.391609\pi\) |
−0.983288 | + | 0.182056i | \(0.941725\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 14.5454 | 1.18369 | 0.591845 | − | 0.806052i | \(-0.298400\pi\) | ||||
0.591845 | + | 0.806052i | \(0.298400\pi\) | |||||||
\(152\) | −1.38869 | − | 0.801763i | −0.112638 | − | 0.0650316i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.80054 | − | 3.11862i | −0.145091 | − | 0.251306i | ||||
\(155\) | 8.02690 | + | 2.65559i | 0.644736 | + | 0.213302i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 10.9210i | − | 0.871588i | −0.900047 | − | 0.435794i | \(-0.856468\pi\) | ||
0.900047 | − | 0.435794i | \(-0.143532\pi\) | |||||||
\(158\) | −3.94846 | + | 2.27964i | −0.314123 | + | 0.181359i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −5.47976 | − | 6.15167i | −0.433213 | − | 0.486332i | ||||
\(161\) | −9.02690 | −0.711420 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.61808 | + | 2.08890i | 0.283390 | + | 0.163615i | 0.634957 | − | 0.772547i | \(-0.281018\pi\) |
−0.351567 | + | 0.936163i | \(0.614351\pi\) | |||||||
\(164\) | −5.25779 | −0.410564 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.42583 | − | 2.46961i | −0.110666 | − | 0.191679i | ||||
\(167\) | −2.90420 | + | 1.67674i | −0.224733 | + | 0.129750i | −0.608140 | − | 0.793830i | \(-0.708084\pi\) |
0.383407 | + | 0.923580i | \(0.374751\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.0404 | − | 8.25780i | −0.772335 | − | 0.635215i | ||||
\(170\) | 1.36872 | + | 0.452821i | 0.104976 | + | 0.0347298i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −14.3049 | + | 8.25894i | −1.09074 | + | 0.629738i | ||||
\(173\) | 7.56654 | + | 4.36854i | 0.575273 | + | 0.332134i | 0.759253 | − | 0.650796i | \(-0.225565\pi\) |
−0.183979 | + | 0.982930i | \(0.558898\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.65585 | + | 15.3898i | 0.503135 | + | 1.16336i | ||||
\(176\) | −5.44527 | + | 9.43149i | −0.410453 | + | 0.710925i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.95577 | − | 1.70652i | −0.221545 | − | 0.127909i | ||||
\(179\) | 9.00507 | + | 15.5972i | 0.673071 | + | 1.16579i | 0.977029 | + | 0.213107i | \(0.0683584\pi\) |
−0.303958 | + | 0.952685i | \(0.598308\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.04366 | 0.0775749 | 0.0387875 | − | 0.999247i | \(-0.487650\pi\) | ||||
0.0387875 | + | 0.999247i | \(0.487650\pi\) | |||||||
\(182\) | −1.34963 | + | 3.76564i | −0.100041 | + | 0.279128i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.73236 | − | 3.00053i | −0.127711 | − | 0.221202i | ||||
\(185\) | −4.26722 | + | 0.883225i | −0.313732 | + | 0.0649360i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 6.32546i | − | 0.462564i | ||||||
\(188\) | 11.2473 | + | 6.49365i | 0.820296 | + | 0.473598i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.289474 | + | 0.874976i | −0.0210006 | + | 0.0634774i | ||||
\(191\) | 12.7593 | − | 22.0997i | 0.923228 | − | 1.59908i | 0.128841 | − | 0.991665i | \(-0.458874\pi\) |
0.794387 | − | 0.607412i | \(-0.207792\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −17.1652 | + | 9.91035i | −1.23558 | + | 0.713362i | −0.968188 | − | 0.250225i | \(-0.919495\pi\) |
−0.267392 | + | 0.963588i | \(0.586162\pi\) | |||||||
\(194\) | −1.74221 | −0.125083 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.02690 | −0.573350 | ||||||||
\(197\) | 18.7512 | − | 10.8260i | 1.33596 | − | 0.771319i | 0.349758 | − | 0.936840i | \(-0.386264\pi\) |
0.986206 | + | 0.165521i | \(0.0529304\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.11453 | − | 15.7868i | 0.646112 | − | 1.11910i | −0.337932 | − | 0.941171i | \(-0.609727\pi\) |
0.984044 | − | 0.177928i | \(-0.0569393\pi\) | |||||||
\(200\) | −3.83821 | + | 5.16586i | −0.271402 | + | 0.365281i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.63614 | + | 0.944625i | 0.115118 | + | 0.0664636i | ||||
\(203\) | − | 10.0604i | − | 0.706104i | ||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.26043 | + | 6.08964i | 0.0880321 | + | 0.425319i | ||||
\(206\) | −1.21891 | − | 2.11121i | −0.0849252 | − | 0.147095i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 11.9033 | − | 2.15934i | 0.825345 | − | 0.149723i | ||||
\(209\) | 4.04366 | 0.279706 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.64981 | − | 16.7140i | −0.664320 | − | 1.15064i | −0.979469 | − | 0.201594i | \(-0.935388\pi\) |
0.315149 | − | 0.949042i | \(-0.397946\pi\) | |||||||
\(212\) | −21.0119 | − | 12.1312i | −1.44310 | − | 0.833176i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.41837 | − | 2.45669i | 0.0969577 | − | 0.167936i | ||||
\(215\) | 12.9949 | + | 14.5882i | 0.886242 | + | 0.994910i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 10.9810 | + | 6.33991i | 0.745442 | + | 0.430381i | ||||
\(218\) | 2.43296 | − | 1.40467i | 0.164781 | − | 0.0951362i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 13.0269 | + | 4.30978i | 0.878274 | + | 0.290565i | ||||
\(221\) | −5.36034 | + | 4.54300i | −0.360575 | + | 0.305596i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.7134 | − | 6.18537i | 0.717421 | − | 0.414203i | −0.0963818 | − | 0.995344i | \(-0.530727\pi\) |
0.813803 | + | 0.581141i | \(0.197394\pi\) | |||||||
\(224\) | −6.17763 | − | 10.7000i | −0.412760 | − | 0.714922i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.42583 | −0.161364 | ||||||||
\(227\) | 5.33715 | + | 3.08141i | 0.354239 | + | 0.204520i | 0.666551 | − | 0.745460i | \(-0.267770\pi\) |
−0.312311 | + | 0.949980i | \(0.601103\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 26.9832 | 1.78310 | 0.891551 | − | 0.452920i | \(-0.149618\pi\) | ||||
0.891551 | + | 0.452920i | \(0.149618\pi\) | |||||||
\(230\) | −1.48694 | + | 1.32453i | −0.0980459 | + | 0.0873370i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.34408 | − | 1.93070i | 0.219549 | − | 0.126757i | ||||
\(233\) | − | 0.824319i | − | 0.0540029i | −0.999635 | − | 0.0270015i | \(-0.991404\pi\) | ||
0.999635 | − | 0.0270015i | \(-0.00859588\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.82476 | − | 14.5835i | 0.314733 | − | 0.951323i | ||||
\(236\) | 2.39654 | + | 4.15092i | 0.156001 | + | 0.270202i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.87244 | + | 1.08106i | 0.121372 | + | 0.0700744i | ||||
\(239\) | 4.00000 | 0.258738 | 0.129369 | − | 0.991596i | \(-0.458705\pi\) | ||||
0.129369 | + | 0.991596i | \(0.458705\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.3469 | + | 19.6534i | −0.730917 | + | 1.26599i | 0.225575 | + | 0.974226i | \(0.427574\pi\) |
−0.956492 | + | 0.291760i | \(0.905759\pi\) | |||||||
\(242\) | − | 0.153745i | − | 0.00988310i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.08163 | + | 12.2657i | 0.453355 | + | 0.785234i | ||||
\(245\) | 1.92426 | + | 9.29687i | 0.122936 | + | 0.593955i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.90420 | − | 3.42669i | −0.184790 | − | 0.218035i | ||||
\(248\) | 4.86678i | 0.309041i | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.35454 | + | 1.55843i | 0.212159 | + | 0.0985635i | ||||
\(251\) | 9.51345 | − | 16.4778i | 0.600484 | − | 1.04007i | −0.392264 | − | 0.919853i | \(-0.628308\pi\) |
0.992748 | − | 0.120216i | \(-0.0383586\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.56654 | + | 4.36854i | 0.475704 | + | 0.274648i | ||||
\(254\) | 1.51584 | − | 2.62552i | 0.0951124 | − | 0.164739i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3.97218 | + | 6.88001i | −0.248261 | + | 0.430001i | ||||
\(257\) | −1.82857 | + | 1.05573i | −0.114063 | + | 0.0658544i | −0.555946 | − | 0.831218i | \(-0.687644\pi\) |
0.441883 | + | 0.897073i | \(0.354311\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.53528 | −0.406083 | ||||||||
\(260\) | −5.70384 | − | 14.1346i | −0.353737 | − | 0.876591i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.86513 | + | 1.65418i | −0.177008 | + | 0.102196i | ||||
\(263\) | −25.9092 | + | 14.9587i | −1.59763 | + | 0.922391i | −0.605685 | + | 0.795704i | \(0.707101\pi\) |
−0.991943 | + | 0.126687i | \(0.959566\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.01345 | + | 27.2444i | −0.553692 | + | 1.67361i | ||||
\(266\) | −0.691084 | + | 1.19699i | −0.0423731 | + | 0.0733923i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 7.59083i | 0.463684i | ||||||||
\(269\) | −9.29455 | + | 16.0986i | −0.566699 | + | 0.981551i | 0.430191 | + | 0.902738i | \(0.358446\pi\) |
−0.996889 | + | 0.0788127i | \(0.974887\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.91238 | − | 5.04439i | −0.176914 | − | 0.306425i | 0.763908 | − | 0.645326i | \(-0.223278\pi\) |
−0.940822 | + | 0.338901i | \(0.889945\pi\) | |||||||
\(272\) | − | 6.53876i | − | 0.396471i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.57417 | −0.336748 | ||||||||
\(275\) | 1.86875 | − | 16.1211i | 0.112690 | − | 0.972139i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.7263 | − | 6.77017i | −0.704564 | − | 0.406780i | 0.104481 | − | 0.994527i | \(-0.466682\pi\) |
−0.809045 | + | 0.587747i | \(0.800015\pi\) | |||||||
\(278\) | 0.339738i | 0.0203761i | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −7.20702 | + | 6.41985i | −0.430702 | + | 0.383659i | ||||
\(281\) | 0.464716 | 0.0277226 | 0.0138613 | − | 0.999904i | \(-0.495588\pi\) | ||||
0.0138613 | + | 0.999904i | \(0.495588\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.71259 | + | 5.03022i | −0.517910 | + | 0.299015i | −0.736079 | − | 0.676896i | \(-0.763325\pi\) |
0.218169 | + | 0.975911i | \(0.429991\pi\) | |||||||
\(284\) | 4.95873 | + | 8.58877i | 0.294246 | + | 0.509649i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.95365 | − | 2.50329i | 0.174653 | − | 0.148022i | ||||
\(287\) | 9.32634i | 0.550516i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.60107 | − | 11.4334i | −0.388298 | − | 0.672553i | ||||
\(290\) | −1.47618 | − | 1.65719i | −0.0866844 | − | 0.0973133i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.94752 | + | 5.16586i | 0.523614 | + | 0.302309i | ||||
\(293\) | −11.6481 | − | 6.72506i | −0.680492 | − | 0.392882i | 0.119548 | − | 0.992828i | \(-0.461855\pi\) |
−0.800040 | + | 0.599946i | \(0.795189\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.23314 | − | 3.77079i | 0.246463 | − | 0.219544i | ||||
\(296\) | −1.25419 | − | 2.17232i | −0.0728983 | − | 0.126264i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 5.24431i | 0.303795i | ||||||||
\(299\) | −1.73236 | − | 9.54958i | −0.100185 | − | 0.552266i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 14.6498 | + | 25.3742i | 0.844401 | + | 1.46255i | ||||
\(302\) | 4.16745 | − | 2.40608i | 0.239810 | − | 0.138454i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4.18002 | 0.239741 | ||||||||
\(305\) | 12.5087 | − | 11.1425i | 0.716246 | − | 0.638015i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 24.6077i | 1.40444i | 0.711961 | + | 0.702219i | \(0.247807\pi\) | ||||
−0.711961 | + | 0.702219i | \(0.752193\pi\) | |||||||
\(308\) | 17.8212 | + | 10.2891i | 1.01546 | + | 0.586274i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.73909 | − | 0.566935i | 0.155570 | − | 0.0321997i | ||||
\(311\) | −2.43781 | −0.138236 | −0.0691178 | − | 0.997609i | \(-0.522018\pi\) | ||||
−0.0691178 | + | 0.997609i | \(0.522018\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 19.2965i | 1.09071i | 0.838207 | + | 0.545353i | \(0.183604\pi\) | ||||
−0.838207 | + | 0.545353i | \(0.816396\pi\) | |||||||
\(314\) | −1.80653 | − | 3.12900i | −0.101948 | − | 0.176579i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 13.0269 | − | 22.5633i | 0.732821 | − | 1.26928i | ||||
\(317\) | 28.8217i | 1.61879i | 0.587265 | + | 0.809395i | \(0.300205\pi\) | ||||
−0.587265 | + | 0.809395i | \(0.699795\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.86872 | + | 8.43286i | −0.272596 | + | 0.472150i | ||||
\(320\) | 11.6582 | + | 3.85695i | 0.651713 | + | 0.215610i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.58632 | + | 1.49321i | −0.144130 | + | 0.0832136i | ||||
\(323\) | −2.10258 | + | 1.21392i | −0.116990 | + | 0.0675445i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.0035 | + | 9.99470i | −0.832246 | + | 0.554406i | ||||
\(326\) | 1.38217 | 0.0765512 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −3.10006 | + | 1.78982i | −0.171172 | + | 0.0988264i | ||||
\(329\) | 11.5185 | − | 19.9507i | 0.635037 | − | 1.09992i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.48655 | − | 2.57478i | 0.0817081 | − | 0.141522i | −0.822276 | − | 0.569089i | \(-0.807296\pi\) |
0.903984 | + | 0.427567i | \(0.140629\pi\) | |||||||
\(332\) | 14.1125 | + | 8.14783i | 0.774522 | + | 0.447171i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.554726 | + | 0.960814i | −0.0303533 | + | 0.0525734i | ||||
\(335\) | 8.79180 | − | 1.81972i | 0.480347 | − | 0.0994218i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.90370i | 0.103701i | 0.998655 | + | 0.0518505i | \(0.0165119\pi\) | ||||
−0.998655 | + | 0.0518505i | \(0.983488\pi\) | |||||||
\(338\) | −4.24268 | − | 0.705107i | −0.230771 | − | 0.0383528i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −8.06738 | + | 1.66978i | −0.437515 | + | 0.0905565i | ||||
\(341\) | −6.13636 | − | 10.6285i | −0.332302 | − | 0.575565i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 9.23611i | − | 0.498703i | ||||||
\(344\) | −5.62291 | + | 9.73916i | −0.303167 | + | 0.525100i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.89055 | 0.155397 | ||||||||
\(347\) | −10.9420 | − | 6.31735i | −0.587396 | − | 0.339133i | 0.176671 | − | 0.984270i | \(-0.443467\pi\) |
−0.764067 | + | 0.645137i | \(0.776800\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.48655 | + | 7.77093i | 0.240159 | + | 0.415968i | 0.960760 | − | 0.277383i | \(-0.0894670\pi\) |
−0.720600 | + | 0.693351i | \(0.756134\pi\) | |||||||
\(350\) | 4.45274 | + | 3.30837i | 0.238009 | + | 0.176840i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 11.9586i | 0.637395i | ||||||||
\(353\) | −29.6618 | + | 17.1252i | −1.57874 | + | 0.911484i | −0.583701 | + | 0.811969i | \(0.698396\pi\) |
−0.995036 | + | 0.0995150i | \(0.968271\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 8.75889 | − | 7.80221i | 0.464874 | − | 0.414098i | ||||
\(356\) | 19.5036 | 1.03369 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.16014 | + | 2.97921i | 0.272722 | + | 0.157456i | ||||
\(359\) | 22.4043 | 1.18245 | 0.591227 | − | 0.806505i | \(-0.298644\pi\) | ||||
0.591227 | + | 0.806505i | \(0.298644\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.72398 | + | 15.1104i | 0.459157 | + | 0.795283i | ||||
\(362\) | 0.299023 | − | 0.172641i | 0.0157163 | − | 0.00907381i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −4.08016 | − | 22.4918i | −0.213858 | − | 1.17889i | ||||
\(365\) | 3.83821 | − | 11.6015i | 0.200901 | − | 0.607252i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.4273 | + | 6.59753i | −0.596498 | + | 0.344388i | −0.767663 | − | 0.640854i | \(-0.778580\pi\) |
0.171165 | + | 0.985242i | \(0.445247\pi\) | |||||||
\(368\) | 7.82169 | + | 4.51586i | 0.407734 | + | 0.235405i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.07651 | + | 0.958932i | −0.0559652 | + | 0.0498525i | ||||
\(371\) | −21.5185 | + | 37.2712i | −1.11719 | + | 1.93502i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.2168 | − | 7.63070i | −0.684338 | − | 0.395103i | 0.117149 | − | 0.993114i | \(-0.462624\pi\) |
−0.801488 | + | 0.598012i | \(0.795958\pi\) | |||||||
\(374\) | −1.04635 | − | 1.81233i | −0.0541053 | − | 0.0937131i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.84210 | 0.455997 | ||||||||
\(377\) | 10.6430 | − | 1.93070i | 0.548140 | − | 0.0994362i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.11453 | + | 15.7868i | 0.468182 | + | 0.810915i | 0.999339 | − | 0.0363588i | \(-0.0115759\pi\) |
−0.531157 | + | 0.847273i | \(0.678243\pi\) | |||||||
\(380\) | −1.06744 | − | 5.15722i | −0.0547583 | − | 0.264560i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | − | 8.44246i | − | 0.431954i | ||||||
\(383\) | −1.24784 | − | 0.720440i | −0.0637616 | − | 0.0368128i | 0.467780 | − | 0.883845i | \(-0.345054\pi\) |
−0.531542 | + | 0.847032i | \(0.678387\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.64474 | − | 23.1073i | 0.389612 | − | 1.17766i | ||||
\(386\) | −3.27870 | + | 5.67888i | −0.166882 | + | 0.289048i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 8.62194 | − | 4.97788i | 0.437713 | − | 0.252714i | ||||
\(389\) | −18.7912 | −0.952754 | −0.476377 | − | 0.879241i | \(-0.658050\pi\) | ||||
−0.476377 | + | 0.879241i | \(0.658050\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.24581 | −0.265292 | ||||||||
\(392\) | −4.73277 | + | 2.73247i | −0.239041 | + | 0.138010i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 3.58163 | − | 6.20357i | 0.180440 | − | 0.312531i | ||||
\(395\) | −29.2560 | − | 9.67894i | −1.47203 | − | 0.487000i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 14.8027 | + | 8.54634i | 0.742926 | + | 0.428928i | 0.823132 | − | 0.567850i | \(-0.192225\pi\) |
−0.0802063 | + | 0.996778i | \(0.525558\pi\) | |||||||
\(398\) | − | 6.03084i | − | 0.302298i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.93177 | − | 16.6647i | 0.0965886 | − | 0.833236i | ||||
\(401\) | 11.1011 | + | 19.2276i | 0.554361 | + | 0.960182i | 0.997953 | + | 0.0639527i | \(0.0203707\pi\) |
−0.443592 | + | 0.896229i | \(0.646296\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.59962 | + | 12.8336i | −0.229124 | + | 0.639285i | ||||
\(404\) | −10.7960 | −0.537122 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.66418 | − | 2.88244i | −0.0825918 | − | 0.143053i | ||||
\(407\) | 5.47801 | + | 3.16273i | 0.271535 | + | 0.156771i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.81638 | + | 8.34221i | −0.238155 | + | 0.412496i | −0.960185 | − | 0.279366i | \(-0.909876\pi\) |
0.722030 | + | 0.691862i | \(0.243209\pi\) | |||||||
\(410\) | 1.36847 | + | 1.53626i | 0.0675838 | + | 0.0758706i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 12.0644 | + | 6.96537i | 0.594369 | + | 0.343159i | ||||
\(413\) | 7.36296 | − | 4.25101i | 0.362308 | − | 0.209178i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.05381 | − | 18.2985i | 0.297170 | − | 0.898238i | ||||
\(416\) | 10.1340 | − | 8.58877i | 0.496859 | − | 0.421099i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.15856 | − | 0.668896i | 0.0566671 | − | 0.0327168i | ||||
\(419\) | 0.978168 | + | 1.69424i | 0.0477866 | + | 0.0827689i | 0.888929 | − | 0.458044i | \(-0.151450\pi\) |
−0.841143 | + | 0.540813i | \(0.818117\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −12.0807 | −0.588778 | −0.294389 | − | 0.955686i | \(-0.595116\pi\) | ||||
−0.294389 | + | 0.955686i | \(0.595116\pi\) | |||||||
\(422\) | −5.52959 | − | 3.19251i | −0.269176 | − | 0.155409i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −16.5185 | −0.802210 | ||||||||
\(425\) | 3.86792 | + | 8.94346i | 0.187622 | + | 0.433822i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 21.7571 | − | 12.5615i | 1.05290 | − | 0.607893i | ||||
\(428\) | 16.2104i | 0.783558i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 6.13636 | + | 2.03013i | 0.295921 | + | 0.0979016i | ||||
\(431\) | 12.2945 | + | 21.2948i | 0.592207 | + | 1.02573i | 0.993934 | + | 0.109974i | \(0.0350767\pi\) |
−0.401727 | + | 0.915759i | \(0.631590\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −31.2400 | − | 18.0364i | −1.50130 | − | 0.866775i | −0.999999 | − | 0.00150085i | \(-0.999522\pi\) |
−0.501299 | − | 0.865274i | \(-0.667144\pi\) | |||||||
\(434\) | 4.19495 | 0.201364 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −8.02690 | + | 13.9030i | −0.384419 | + | 0.665833i | ||||
\(437\) | − | 3.35348i | − | 0.160419i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.26764 | + | 2.19562i | 0.0605013 | + | 0.104791i | 0.894690 | − | 0.446688i | \(-0.147397\pi\) |
−0.834188 | + | 0.551480i | \(0.814063\pi\) | |||||||
\(440\) | 9.14794 | − | 1.89343i | 0.436111 | − | 0.0902658i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.784309 | + | 2.18833i | −0.0373058 | + | 0.104088i | ||||
\(443\) | − | 19.3579i | − | 0.919721i | −0.887991 | − | 0.459860i | \(-0.847899\pi\) | ||
0.887991 | − | 0.459860i | \(-0.152101\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.67552 | − | 22.5893i | −0.221641 | − | 1.07084i | ||||
\(446\) | 2.04635 | − | 3.54438i | 0.0968973 | − | 0.167831i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 15.9487 | + | 9.20801i | 0.753507 | + | 0.435038i | ||||
\(449\) | 12.4040 | − | 21.4844i | 0.585381 | − | 1.01391i | −0.409447 | − | 0.912334i | \(-0.634278\pi\) |
0.994828 | − | 0.101576i | \(-0.0323884\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.51345 | − | 7.81753i | 0.212530 | − | 0.368113i | ||||
\(452\) | 12.0051 | − | 6.93114i | 0.564672 | − | 0.326013i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.03888 | 0.0956896 | ||||||||
\(455\) | −25.0722 | + | 10.1176i | −1.17540 | + | 0.474318i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.55363 | − | 3.78374i | 0.306566 | − | 0.176996i | −0.338823 | − | 0.940850i | \(-0.610029\pi\) |
0.645389 | + | 0.763854i | \(0.276695\pi\) | |||||||
\(458\) | 7.73105 | − | 4.46352i | 0.361248 | − | 0.208567i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.57417 | − | 10.8034i | 0.166646 | − | 0.503712i | ||||
\(461\) | −6.17164 | + | 10.6896i | −0.287442 | + | 0.497864i | −0.973198 | − | 0.229967i | \(-0.926138\pi\) |
0.685756 | + | 0.727831i | \(0.259472\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 22.8578i | − | 1.06229i | −0.847281 | − | 0.531146i | \(-0.821762\pi\) | ||
0.847281 | − | 0.531146i | \(-0.178238\pi\) | |||||||
\(464\) | −5.03289 | + | 8.71723i | −0.233646 | + | 0.404687i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.136357 | − | 0.236178i | −0.00631664 | − | 0.0109407i | ||||
\(467\) | 15.2976i | 0.707889i | 0.935266 | + | 0.353945i | \(0.115160\pi\) | ||||
−0.935266 | + | 0.353945i | \(0.884840\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.4647 | 0.621743 | ||||||||
\(470\) | −1.03002 | − | 4.97647i | −0.0475115 | − | 0.229547i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.82606 | + | 1.63163i | 0.130080 | + | 0.0751017i | ||||
\(473\) | − | 28.3589i | − | 1.30394i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.71727 | + | 2.47264i | −0.262326 | + | 0.113452i | ||||
\(476\) | −12.3553 | −0.566303 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 1.14605 | − | 0.661673i | 0.0524192 | − | 0.0302642i | ||||
\(479\) | −12.1414 | − | 21.0296i | −0.554756 | − | 0.960866i | −0.997922 | − | 0.0644264i | \(-0.979478\pi\) |
0.443166 | − | 0.896439i | \(-0.353855\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.25419 | − | 6.91369i | −0.0571861 | − | 0.315237i | ||||
\(482\) | 7.50793i | 0.341977i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.439284 | + | 0.760862i | 0.0199674 | + | 0.0345846i | ||||
\(485\) | −7.83235 | − | 8.79272i | −0.355649 | − | 0.399257i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −31.9462 | − | 18.4441i | −1.44762 | − | 0.835783i | −0.449280 | − | 0.893391i | \(-0.648319\pi\) |
−0.998339 | + | 0.0576081i | \(0.981653\pi\) | |||||||
\(488\) | 8.35085 | + | 4.82136i | 0.378025 | + | 0.218253i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.08920 | + | 2.34537i | 0.0943803 | + | 0.105953i | ||||
\(491\) | −17.6767 | − | 30.6170i | −0.797739 | − | 1.38172i | −0.921085 | − | 0.389361i | \(-0.872696\pi\) |
0.123346 | − | 0.992364i | \(-0.460637\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 5.84642i | − | 0.263310i | ||||||
\(494\) | −1.39893 | − | 0.501383i | −0.0629407 | − | 0.0225583i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.34328 | − | 10.9869i | −0.284822 | − | 0.493326i | ||||
\(497\) | 15.2349 | − | 8.79585i | 0.683377 | − | 0.394548i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −16.2189 | −0.726058 | −0.363029 | − | 0.931778i | \(-0.618257\pi\) | ||||
−0.363029 | + | 0.931778i | \(0.618257\pi\) | |||||||
\(500\) | −21.0539 | + | 1.87223i | −0.941558 | + | 0.0837286i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | − | 6.29480i | − | 0.280950i | ||||||
\(503\) | −17.5270 | − | 10.1192i | −0.781489 | − | 0.451193i | 0.0554688 | − | 0.998460i | \(-0.482335\pi\) |
−0.836958 | + | 0.547268i | \(0.815668\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.58808 | + | 12.5041i | 0.115168 | + | 0.556425i | ||||
\(506\) | 2.89055 | 0.128500 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 17.3244i | 0.768646i | ||||||||
\(509\) | 10.0185 | + | 17.3526i | 0.444063 | + | 0.769140i | 0.997986 | − | 0.0634276i | \(-0.0202032\pi\) |
−0.553923 | + | 0.832568i | \(0.686870\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 9.16326 | − | 15.8712i | 0.405359 | − | 0.702102i | ||||
\(512\) | 20.9992i | 0.928042i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.349273 | + | 0.604959i | −0.0154058 | + | 0.0266836i | ||||
\(515\) | 5.17524 | − | 15.6429i | 0.228048 | − | 0.689308i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −19.3101 | + | 11.1487i | −0.849259 | + | 0.490320i | ||||
\(518\) | −1.87244 | + | 1.08106i | −0.0822704 | + | 0.0474988i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −8.17467 | − | 6.39229i | −0.358483 | − | 0.280320i | ||||
\(521\) | −16.0269 | −0.702151 | −0.351076 | − | 0.936347i | \(-0.614184\pi\) | ||||
−0.351076 | + | 0.936347i | \(0.614184\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 10.1654 | − | 5.86898i | 0.444501 | − | 0.256633i | −0.261004 | − | 0.965338i | \(-0.584054\pi\) |
0.705505 | + | 0.708705i | \(0.250720\pi\) | |||||||
\(524\) | 9.45274 | − | 16.3726i | 0.412945 | − | 0.715241i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.94887 | + | 8.57170i | −0.215781 | + | 0.373744i | ||||
\(527\) | 6.38142 | + | 3.68431i | 0.277979 | + | 0.160491i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.87709 | + | 13.6435i | −0.342482 | + | 0.593197i | ||||
\(530\) | 1.92426 | + | 9.29687i | 0.0835844 | + | 0.403830i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | − | 7.89832i | − | 0.342436i | ||||||
\(533\) | −9.86635 | + | 1.78982i | −0.427359 | + | 0.0775258i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.7751 | − | 3.88605i | 0.811718 | − | 0.168008i | ||||
\(536\) | 2.58402 | + | 4.47565i | 0.111613 | + | 0.193319i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 6.14995i | 0.265143i | ||||||||
\(539\) | 6.89055 | − | 11.9348i | 0.296797 | − | 0.514067i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −21.8080 | −0.937599 | −0.468800 | − | 0.883305i | \(-0.655313\pi\) | ||||
−0.468800 | + | 0.883305i | \(0.655313\pi\) | |||||||
\(542\) | −1.66887 | − | 0.963521i | −0.0716840 | − | 0.0413868i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.59001 | − | 6.21808i | −0.153920 | − | 0.266598i | ||||
\(545\) | 18.0269 | + | 5.96396i | 0.772188 | + | 0.255468i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 6.30924i | − | 0.269764i | −0.990862 | − | 0.134882i | \(-0.956935\pi\) | ||
0.990862 | − | 0.134882i | \(-0.0430655\pi\) | |||||||
\(548\) | 27.5858 | − | 15.9266i | 1.17840 | − | 0.680352i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.13130 | − | 4.92803i | −0.0908790 | − | 0.210132i | ||||
\(551\) | 3.73743 | 0.159220 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −40.0230 | − | 23.1073i | −1.70195 | − | 0.982622i | ||||
\(554\) | −4.47964 | −0.190322 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.970706 | − | 1.68131i | −0.0411671 | − | 0.0713035i | ||||
\(557\) | −31.0364 | + | 17.9189i | −1.31506 | + | 0.759247i | −0.982929 | − | 0.183987i | \(-0.941099\pi\) |
−0.332126 | + | 0.943235i | \(0.607766\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −24.0320 | + | 20.3676i | −1.01644 | + | 0.861459i | ||||
\(560\) | 7.90253 | − | 23.8865i | 0.333943 | − | 1.00939i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.133147 | − | 0.0768725i | 0.00561647 | − | 0.00324267i | ||||
\(563\) | −4.33196 | − | 2.50106i | −0.182570 | − | 0.105407i | 0.405929 | − | 0.913904i | \(-0.366948\pi\) |
−0.588500 | + | 0.808497i | \(0.700281\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −10.9057 | − | 12.2429i | −0.458805 | − | 0.515062i | ||||
\(566\) | −1.66418 | + | 2.88244i | −0.0699507 | + | 0.121158i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.84746 | + | 3.37603i | 0.245354 | + | 0.141655i | ||||
\(569\) | 6.58402 | + | 11.4039i | 0.276017 | + | 0.478075i | 0.970391 | − | 0.241539i | \(-0.0776522\pi\) |
−0.694375 | + | 0.719614i | \(0.744319\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.8349 | 0.830065 | 0.415032 | − | 0.909807i | \(-0.363770\pi\) | ||||
0.415032 | + | 0.909807i | \(0.363770\pi\) | |||||||
\(572\) | −7.46475 | + | 20.8276i | −0.312117 | + | 0.870848i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.54275 | + | 2.67212i | 0.0643930 | + | 0.111532i | ||||
\(575\) | −13.3695 | − | 1.54979i | −0.557547 | − | 0.0646307i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.9210i | 0.454646i | 0.973819 | + | 0.227323i | \(0.0729972\pi\) | ||||
−0.973819 | + | 0.227323i | \(0.927003\pi\) | |||||||
\(578\) | −3.78258 | − | 2.18388i | −0.157335 | − | 0.0908373i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 12.0404 | + | 3.98339i | 0.499949 | + | 0.165401i | ||||
\(581\) | 14.4527 | − | 25.0329i | 0.599601 | − | 1.03854i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 36.0745 | − | 20.8276i | 1.49406 | − | 0.862593i | ||||
\(584\) | 7.03411 | 0.291073 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.44979 | −0.183819 | ||||||||
\(587\) | −35.0303 | + | 20.2247i | −1.44585 | + | 0.834764i | −0.998231 | − | 0.0594576i | \(-0.981063\pi\) |
−0.447624 | + | 0.894222i | \(0.647730\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.35526 | + | 4.07944i | −0.0970469 | + | 0.168090i | ||||
\(590\) | 0.589093 | − | 1.78062i | 0.0242526 | − | 0.0733069i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 5.66274 | + | 3.26938i | 0.232737 | + | 0.134371i | ||||
\(593\) | 1.47709i | 0.0606569i | 0.999540 | + | 0.0303284i | \(0.00965532\pi\) | ||||
−0.999540 | + | 0.0303284i | \(0.990345\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.96188 | + | 14.3100i | 0.121425 | + | 0.586654i | ||||
\(596\) | −14.9842 | − | 25.9533i | −0.613775 | − | 1.06309i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.07602 | − | 2.44951i | −0.0848947 | − | 0.100168i | ||||
\(599\) | 2.27271 | 0.0928606 | 0.0464303 | − | 0.998922i | \(-0.485215\pi\) | ||||
0.0464303 | + | 0.998922i | \(0.485215\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.70215 | − | 6.41231i | −0.151014 | − | 0.261563i | 0.780587 | − | 0.625048i | \(-0.214920\pi\) |
−0.931600 | + | 0.363484i | \(0.881587\pi\) | |||||||
\(602\) | 8.39472 | + | 4.84669i | 0.342143 | + | 0.197536i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −13.7494 | + | 23.8147i | −0.559456 | + | 0.969005i | ||||
\(605\) | 0.775932 | − | 0.691182i | 0.0315461 | − | 0.0281006i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.26059 | + | 5.34661i | 0.375876 | + | 0.217012i | 0.676022 | − | 0.736881i | \(-0.263702\pi\) |
−0.300146 | + | 0.953893i | \(0.597036\pi\) | |||||||
\(608\) | 3.97502 | − | 2.29498i | 0.161208 | − | 0.0930736i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.74074 | − | 5.26162i | 0.0704804 | − | 0.213037i | ||||
\(611\) | 23.3164 | + | 8.35673i | 0.943280 | + | 0.338077i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.26673 | + | 3.04075i | −0.212721 | + | 0.122815i | −0.602575 | − | 0.798062i | \(-0.705859\pi\) |
0.389854 | + | 0.920877i | \(0.372525\pi\) | |||||||
\(614\) | 4.07057 | + | 7.05043i | 0.164275 | + | 0.284532i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 14.0101 | 0.564485 | ||||||||
\(617\) | 27.5732 | + | 15.9194i | 1.11006 | + | 0.640892i | 0.938844 | − | 0.344342i | \(-0.111898\pi\) |
0.171213 | + | 0.985234i | \(0.445231\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 26.4043 | 1.06128 | 0.530639 | − | 0.847598i | \(-0.321952\pi\) | ||||
0.530639 | + | 0.847598i | \(0.321952\pi\) | |||||||
\(620\) | −11.9355 | + | 10.6319i | −0.479342 | + | 0.426987i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.698464 | + | 0.403259i | −0.0280059 | + | 0.0161692i | ||||
\(623\) | − | 34.5957i | − | 1.38605i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 7.21560 | + | 23.9361i | 0.288624 | + | 0.957443i | ||||
\(626\) | 3.19200 | + | 5.52871i | 0.127578 | + | 0.220972i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 17.8805 | + | 10.3233i | 0.713509 | + | 0.411944i | ||||
\(629\) | −3.79785 | −0.151430 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.5840 | + | 30.4564i | −0.700009 | + | 1.21245i | 0.268454 | + | 0.963293i | \(0.413487\pi\) |
−0.968463 | + | 0.249158i | \(0.919846\pi\) | |||||||
\(632\) | − | 17.7381i | − | 0.705585i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 4.76764 | + | 8.25780i | 0.189347 | + | 0.327959i | ||||
\(635\) | 20.0653 | − | 4.15310i | 0.796269 | − | 0.164811i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −15.0626 | + | 2.73247i | −0.596804 | + | 0.108264i | ||||
\(638\) | 3.22150i | 0.127540i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 20.1130 | − | 4.16297i | 0.795036 | − | 0.164556i | ||||
\(641\) | 2.76257 | − | 4.78491i | 0.109115 | − | 0.188993i | −0.806297 | − | 0.591511i | \(-0.798532\pi\) |
0.915412 | + | 0.402518i | \(0.131865\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −27.8472 | − | 16.0776i | −1.09819 | − | 0.634039i | −0.162444 | − | 0.986718i | \(-0.551938\pi\) |
−0.935744 | + | 0.352679i | \(0.885271\pi\) | |||||||
\(644\) | 8.53289 | − | 14.7794i | 0.336243 | − | 0.582390i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.401610 | + | 0.695609i | −0.0158011 | + | 0.0273684i | ||||
\(647\) | 11.9376 | − | 6.89216i | 0.469314 | − | 0.270959i | −0.246638 | − | 0.969108i | \(-0.579326\pi\) |
0.715953 | + | 0.698149i | \(0.245993\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8.22905 | −0.323019 | ||||||||
\(650\) | −2.64540 | + | 5.34547i | −0.103761 | + | 0.209667i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.84015 | + | 3.94916i | −0.267881 | + | 0.154661i | ||||
\(653\) | 7.36296 | − | 4.25101i | 0.288135 | − | 0.166355i | −0.348965 | − | 0.937136i | \(-0.613467\pi\) |
0.637100 | + | 0.770781i | \(0.280134\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −21.2291 | − | 7.02335i | −0.829488 | − | 0.274425i | ||||
\(656\) | 4.66565 | − | 8.08115i | 0.182163 | − | 0.315516i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | − | 7.62150i | − | 0.297117i | ||||||
\(659\) | −2.02183 | + | 3.50192i | −0.0787594 | + | 0.136415i | −0.902715 | − | 0.430239i | \(-0.858429\pi\) |
0.823956 | + | 0.566654i | \(0.191763\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.6364 | − | 27.0830i | −0.608184 | − | 1.05341i | −0.991540 | − | 0.129805i | \(-0.958565\pi\) |
0.383356 | − | 0.923601i | \(-0.374768\pi\) | |||||||
\(662\) | − | 0.983609i | − | 0.0382290i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 11.0945 | 0.430551 | ||||||||
\(665\) | −9.14794 | + | 1.89343i | −0.354742 | + | 0.0734241i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.99351 | + | 4.03771i | 0.270790 | + | 0.156341i | ||||
\(668\) | − | 6.33991i | − | 0.245298i | ||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.21795 | − | 1.97570i | 0.0856869 | − | 0.0763278i | ||||
\(671\) | −24.3164 | −0.938723 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 27.7768 | − | 16.0370i | 1.07072 | − | 0.618179i | 0.142340 | − | 0.989818i | \(-0.454537\pi\) |
0.928377 | + | 0.371639i | \(0.121204\pi\) | |||||||
\(674\) | 0.314906 | + | 0.545433i | 0.0121297 | + | 0.0210093i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 23.0111 | − | 8.63282i | 0.885041 | − | 0.332031i | ||||
\(677\) | − | 14.2382i | − | 0.547220i | −0.961841 | − | 0.273610i | \(-0.911782\pi\) | ||
0.961841 | − | 0.273610i | \(-0.0882177\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8.82983 | − | 15.2937i | −0.338858 | − | 0.586919i | ||||
\(680\) | −4.18822 | + | 3.73077i | −0.160611 | + | 0.143068i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3.51629 | − | 2.03013i | −0.134646 | − | 0.0777377i | ||||
\(683\) | 22.3302 | + | 12.8923i | 0.854440 | + | 0.493311i | 0.862146 | − | 0.506659i | \(-0.169120\pi\) |
−0.00770647 | + | 0.999970i | \(0.502453\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −25.0595 | − | 28.1322i | −0.957473 | − | 1.07487i | ||||
\(686\) | −1.52782 | − | 2.64626i | −0.0583325 | − | 0.101035i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | − | 29.3152i | − | 1.11763i | ||||||
\(689\) | −43.5589 | − | 15.6118i | −1.65946 | − | 0.594761i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.0218318 | + | 0.0378138i | 0.000830522 | + | 0.00143851i | 0.866440 | − | 0.499281i | \(-0.166402\pi\) |
−0.865610 | + | 0.500719i | \(0.833069\pi\) | |||||||
\(692\) | −14.3049 | + | 8.25894i | −0.543791 | + | 0.313958i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.18002 | −0.158671 | ||||||||
\(695\) | −1.71461 | + | 1.52734i | −0.0650390 | + | 0.0579352i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.41982i | 0.205290i | ||||||||
\(698\) | 2.57091 | + | 1.48431i | 0.0973103 | + | 0.0561821i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −31.4887 | − | 3.65016i | −1.19016 | − | 0.137963i | ||||
\(701\) | 14.5454 | 0.549373 | 0.274687 | − | 0.961534i | \(-0.411426\pi\) | ||||
0.274687 | + | 0.961534i | \(0.411426\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 2.42785i | − | 0.0915679i | ||||||
\(704\) | −8.91238 | − | 15.4367i | −0.335898 | − | 0.581792i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.66565 | + | 9.81320i | −0.213230 | + | 0.369325i | ||||
\(707\) | 19.1501i | 0.720214i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 9.81638 | − | 17.0025i | 0.368662 | − | 0.638541i | −0.620695 | − | 0.784052i | \(-0.713149\pi\) |
0.989357 | + | 0.145511i | \(0.0464827\pi\) | |||||||
\(710\) | 1.21891 | − | 3.68431i | 0.0457447 | − | 0.138270i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 11.4996 | − | 6.63929i | 0.430965 | − | 0.248818i | ||||
\(713\) | −8.81438 | + | 5.08898i | −0.330101 | + | 0.190584i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 25.9124 | + | 3.65285i | 0.969067 | + | 0.136609i | ||||
\(716\) | −34.0490 | −1.27247 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 6.41912 | − | 3.70608i | 0.239559 | − | 0.138310i | ||||
\(719\) | −23.7156 | + | 41.0766i | −0.884443 | + | 1.53190i | −0.0380914 | + | 0.999274i | \(0.512128\pi\) |
−0.846351 | + | 0.532625i | \(0.821206\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 12.3553 | − | 21.3999i | 0.460134 | − | 0.796976i | ||||
\(722\) | 4.99906 | + | 2.88621i | 0.186046 | + | 0.107414i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.986548 | + | 1.70875i | −0.0366648 | + | 0.0635052i | ||||
\(725\) | 1.72723 | − | 14.9002i | 0.0641477 | − | 0.553380i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 34.0951i | 1.26452i | 0.774757 | + | 0.632259i | \(0.217872\pi\) | ||||
−0.774757 | + | 0.632259i | \(0.782128\pi\) | |||||||
\(728\) | −10.0622 | − | 11.8725i | −0.372931 | − | 0.440024i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.819409 | − | 3.95890i | −0.0303277 | − | 0.146525i | ||||
\(731\) | 8.51345 | + | 14.7457i | 0.314881 | + | 0.545391i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14.3920i | 0.531580i | 0.964031 | + | 0.265790i | \(0.0856327\pi\) | ||||
−0.964031 | + | 0.265790i | \(0.914367\pi\) | |||||||
\(734\) | −2.18270 | + | 3.78055i | −0.0805651 | + | 0.139543i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 9.91745 | 0.365562 | ||||||||
\(737\) | −11.2864 | − | 6.51621i | −0.415740 | − | 0.240028i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −17.2240 | − | 29.8328i | −0.633594 | − | 1.09742i | −0.986811 | − | 0.161876i | \(-0.948246\pi\) |
0.353217 | − | 0.935541i | \(-0.385088\pi\) | |||||||
\(740\) | 2.58762 | − | 7.82145i | 0.0951228 | − | 0.287522i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 14.2382i | 0.522702i | ||||||||
\(743\) | 35.2589 | − | 20.3567i | 1.29352 | − | 0.746816i | 0.314246 | − | 0.949342i | \(-0.398248\pi\) |
0.979277 | + | 0.202526i | \(0.0649150\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −26.4674 | + | 23.5765i | −0.969690 | + | 0.863777i | ||||
\(746\) | −5.04903 | −0.184858 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 10.3564 | + | 5.97929i | 0.378669 | + | 0.218625i | ||||
\(749\) | 28.7542 | 1.05066 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.2509 | − | 28.1474i | −0.593003 | − | 1.02711i | −0.993825 | − | 0.110956i | \(-0.964609\pi\) |
0.400822 | − | 0.916156i | \(-0.368725\pi\) | |||||||
\(752\) | −19.9613 | + | 11.5247i | −0.727914 | + | 0.420261i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.72997 | − | 2.31371i | 0.0994196 | − | 0.0842603i | ||||
\(755\) | 30.8786 | + | 10.2158i | 1.12379 | + | 0.371790i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −11.2864 | + | 6.51621i | −0.410211 | + | 0.236836i | −0.690881 | − | 0.722969i | \(-0.742777\pi\) |
0.280669 | + | 0.959805i | \(0.409444\pi\) | |||||||
\(758\) | 5.22286 | + | 3.01542i | 0.189703 | + | 0.109525i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.38496 | − | 2.67739i | −0.0865116 | − | 0.0971193i | ||||
\(761\) | −1.99493 | + | 3.45532i | −0.0723161 | + | 0.125255i | −0.899916 | − | 0.436063i | \(-0.856372\pi\) |
0.827600 | + | 0.561318i | \(0.189706\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 24.6613 | + | 14.2382i | 0.892800 | + | 0.515458i | ||||
\(764\) | 24.1220 | + | 41.7805i | 0.872703 | + | 1.51157i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.476696 | −0.0172237 | ||||||||
\(767\) | 5.91018 | + | 6.97348i | 0.213404 | + | 0.251798i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.33343 | + | 5.77367i | 0.120207 | + | 0.208204i | 0.919849 | − | 0.392272i | \(-0.128311\pi\) |
−0.799642 | + | 0.600476i | \(0.794978\pi\) | |||||||
\(770\) | −1.63205 | − | 7.88512i | −0.0588151 | − | 0.284160i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | − | 37.4720i | − | 1.34865i | ||||||
\(773\) | −41.8593 | − | 24.1675i | −1.50557 | − | 0.869244i | −0.999979 | − | 0.00647254i | \(-0.997940\pi\) |
−0.505595 | − | 0.862771i | \(-0.668727\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 15.1752 | + | 11.2751i | 0.545111 | + | 0.405015i | ||||
\(776\) | 3.38907 | − | 5.87005i | 0.121661 | − | 0.210723i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.38393 | + | 3.10841i | −0.193023 | + | 0.111442i | ||||
\(779\) | −3.46472 | −0.124136 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −17.0269 | −0.609271 | ||||||||
\(782\) | −1.50299 | + | 0.867753i | −0.0537469 | + | 0.0310308i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 7.12291 | − | 12.3372i | 0.254389 | − | 0.440615i | ||||
\(785\) | 7.67017 | − | 23.1842i | 0.273760 | − | 0.827478i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 24.2151 | + | 13.9806i | 0.863176 | + | 0.498355i | 0.865074 | − | 0.501643i | \(-0.167271\pi\) |
−0.00189876 | + | 0.999998i | \(0.500604\pi\) | |||||||
\(788\) | 40.9341i | 1.45822i | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −9.98328 | + | 2.06633i | −0.355189 | + | 0.0735167i | ||||
\(791\) | −12.2945 | − | 21.2948i | −0.437144 | − | 0.757155i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 17.4642 | + | 20.6062i | 0.620174 | + | 0.731749i | ||||
\(794\) | 5.65488 | 0.200684 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 17.2314 | + | 29.8457i | 0.610752 | + | 1.05785i | ||||
\(797\) | 32.2529 | + | 18.6212i | 1.14246 | + | 0.659597i | 0.947038 | − | 0.321123i | \(-0.104060\pi\) |
0.195418 | + | 0.980720i | \(0.437393\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.69377 | − | 11.5939i | 0.236808 | − | 0.410164i | ||||
\(800\) | −7.31249 | − | 16.9080i | −0.258535 | − | 0.597789i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 6.36120 | + | 3.67264i | 0.224622 | + | 0.129685i | ||||
\(803\) | −15.3617 | + | 8.86907i | −0.542102 | + | 0.312983i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −19.1633 | − | 6.33991i | −0.675416 | − | 0.223452i | ||||
\(806\) | 0.805054 | + | 4.43784i | 0.0283568 | + | 0.156316i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −6.36548 | + | 3.67511i | −0.223937 | + | 0.129290i | ||||
\(809\) | −7.26434 | − | 12.5822i | −0.255400 | − | 0.442367i | 0.709604 | − | 0.704601i | \(-0.248874\pi\) |
−0.965004 | + | 0.262234i | \(0.915541\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 44.0538 | 1.54694 | 0.773469 | − | 0.633834i | \(-0.218520\pi\) | ||||
0.773469 | + | 0.633834i | \(0.218520\pi\) | |||||||
\(812\) | 16.4716 | + | 9.50986i | 0.578039 | + | 0.333731i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.09269 | 0.0733489 | ||||||||
\(815\) | 6.21373 | + | 6.97563i | 0.217657 | + | 0.244346i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −9.42647 | + | 5.44238i | −0.329790 | + | 0.190405i | ||||
\(818\) | 3.18687i | 0.111426i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −11.1618 | − | 3.69273i | −0.389787 | − | 0.128956i | ||||
\(821\) | 13.5135 | + | 23.4060i | 0.471623 | + | 0.816875i | 0.999473 | − | 0.0324629i | \(-0.0103351\pi\) |
−0.527850 | + | 0.849337i | \(0.677002\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −34.2914 | − | 19.7981i | −1.19532 | − | 0.690120i | −0.235814 | − | 0.971798i | \(-0.575775\pi\) |
−0.959509 | + | 0.281679i | \(0.909109\pi\) | |||||||
\(824\) | 9.48442 | 0.330405 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.40639 | − | 2.43594i | 0.0489345 | − | 0.0847571i | ||||
\(827\) | 26.5639i | 0.923716i | 0.886954 | + | 0.461858i | \(0.152817\pi\) | ||||
−0.886954 | + | 0.461858i | \(0.847183\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.99162 | + | 12.1098i | 0.242829 | + | 0.420592i | 0.961519 | − | 0.274738i | \(-0.0885913\pi\) |
−0.718690 | + | 0.695331i | \(0.755258\pi\) | |||||||
\(830\) | −1.29241 | − | 6.24416i | −0.0448602 | − | 0.216738i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −6.68044 | + | 18.6393i | −0.231603 | + | 0.646202i | ||||
\(833\) | 8.27427i | 0.286686i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −7.34297 | + | 1.51984i | −0.254114 | + | 0.0525962i | ||||
\(836\) | −3.82237 | + | 6.62054i | −0.132199 | + | 0.228976i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.560515 | + | 0.323614i | 0.0193627 | + | 0.0111791i | ||||
\(839\) | −7.19707 | + | 12.4657i | −0.248471 | + | 0.430364i | −0.963102 | − | 0.269138i | \(-0.913261\pi\) |
0.714631 | + | 0.699502i | \(0.246595\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.0000 | − | 17.3205i | 0.344828 | − | 0.597259i | ||||
\(842\) | −3.46128 | + | 1.99837i | −0.119284 | + | 0.0688684i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 36.4868 | 1.25593 | ||||||||
\(845\) | −15.5150 | − | 24.5822i | −0.533732 | − | 0.845654i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.34963 | − | 0.779207i | 0.0463737 | − | 0.0267739i | ||||
\(848\) | 37.2910 | − | 21.5300i | 1.28058 | − | 0.739343i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 2.58762 | + | 1.92259i | 0.0887547 | + | 0.0659444i | ||||
\(851\) | 2.62291 | − | 4.54300i | 0.0899120 | − | 0.155732i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 27.2633i | 0.933478i | 0.884395 | + | 0.466739i | \(0.154571\pi\) | ||||
−0.884395 | + | 0.466739i | \(0.845429\pi\) | |||||||
\(854\) | 4.15580 | − | 7.19806i | 0.142209 | − | 0.246312i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 5.51823 | + | 9.55786i | 0.188609 | + | 0.326681i | ||||
\(857\) | 50.6201i | 1.72915i | 0.502503 | + | 0.864575i | \(0.332413\pi\) | ||||
−0.502503 | + | 0.864575i | \(0.667587\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.27992 | −0.0436702 | −0.0218351 | − | 0.999762i | \(-0.506951\pi\) | ||||
−0.0218351 | + | 0.999762i | \(0.506951\pi\) | |||||||
\(860\) | −36.1685 | + | 7.48611i | −1.23333 | + | 0.255274i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 7.04509 | + | 4.06749i | 0.239957 | + | 0.138539i | ||||
\(863\) | 8.38448i | 0.285411i | 0.989765 | + | 0.142706i | \(0.0455802\pi\) | ||||
−0.989765 | + | 0.142706i | \(0.954420\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 12.9949 | + | 14.5882i | 0.441839 | + | 0.496015i | ||||
\(866\) | −11.9342 | −0.405541 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −20.7602 | + | 11.9859i | −0.704646 | + | 0.406828i | ||||
\(869\) | 22.3654 | + | 38.7380i | 0.758695 | + | 1.31410i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.58402 | + | 14.2443i | 0.0875562 | + | 0.482651i | ||||
\(872\) | 10.9299i | 0.370132i | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.554726 | − | 0.960814i | −0.0187639 | − | 0.0325000i | ||||
\(875\) | 3.32098 | + | 37.3456i | 0.112270 | + | 1.26251i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 48.3989 | + | 27.9431i | 1.63431 | + | 0.943572i | 0.982741 | + | 0.184985i | \(0.0592237\pi\) |
0.651573 | + | 0.758586i | \(0.274110\pi\) | |||||||
\(878\) | 0.726391 | + | 0.419382i | 0.0245145 | + | 0.0141535i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −18.1839 | + | 16.1978i | −0.612978 | + | 0.546026i | ||||
\(881\) | 12.5975 | + | 21.8195i | 0.424420 | + | 0.735116i | 0.996366 | − | 0.0851746i | \(-0.0271448\pi\) |
−0.571946 | + | 0.820291i | \(0.693811\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 30.7868i | 1.03606i | 0.855363 | + | 0.518029i | \(0.173334\pi\) | ||||
−0.855363 | + | 0.518029i | \(0.826666\pi\) | |||||||
\(884\) | −2.37110 | − | 13.0707i | −0.0797489 | − | 0.439614i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −3.20215 | − | 5.54628i | −0.107578 | − | 0.186331i | ||||
\(887\) | 10.8011 | − | 6.23603i | 0.362666 | − | 0.209385i | −0.307584 | − | 0.951521i | \(-0.599520\pi\) |
0.670250 | + | 0.742136i | \(0.266187\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 30.7302 | 1.03066 | ||||||||
\(890\) | −5.07628 | − | 5.69872i | −0.170157 | − | 0.191021i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 23.3875i | 0.783071i | ||||||||
\(893\) | 7.41163 | + | 4.27911i | 0.248021 | + | 0.143195i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 8.16243 | + | 39.4360i | 0.272840 | + | 1.31820i | ||||
\(896\) | 30.8032 | 1.02906 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | − | 8.20739i | − | 0.273884i | ||||||
\(899\) | −5.67164 | − | 9.82357i | −0.189160 | − | 0.327634i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −12.5051 | + | 21.6594i | −0.416604 | + | 0.721580i | ||||
\(902\) | − | 2.98643i | − | 0.0994372i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4.71891 | − | 8.17338i | 0.156948 | − | 0.271843i | ||||
\(905\) | 2.21560 | + | 0.733001i | 0.0736490 | + | 0.0243658i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −33.6807 | + | 19.4455i | −1.11835 | + | 0.645678i | −0.940979 | − | 0.338466i | \(-0.890092\pi\) |
−0.177369 | + | 0.984144i | \(0.556759\pi\) | |||||||
\(908\) | −10.0901 | + | 5.82555i | −0.334853 | + | 0.193328i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −5.50987 | + | 7.04620i | −0.182650 | + | 0.233579i | ||||
\(911\) | −0.165096 | −0.00546989 | −0.00273494 | − | 0.999996i | \(-0.500871\pi\) | ||||
−0.00273494 | + | 0.999996i | \(0.500871\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −24.2292 | + | 13.9887i | −0.801868 | + | 0.462959i | ||||
\(914\) | 1.25180 | − | 2.16818i | 0.0414059 | − | 0.0717171i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −25.5065 | + | 44.1786i | −0.842760 | + | 1.45970i | ||||
\(917\) | −29.0420 | − | 16.7674i | −0.959050 | − | 0.553708i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0.447663 | − | 0.775375i | 0.0147670 | − | 0.0255773i | −0.858547 | − | 0.512734i | \(-0.828633\pi\) |
0.873314 | + | 0.487157i | \(0.161966\pi\) | |||||||
\(920\) | −1.57025 | − | 7.58654i | −0.0517697 | − | 0.250121i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 4.08361i | 0.134486i | ||||||||
\(923\) | 12.2289 | + | 14.4290i | 0.402518 | + | 0.474935i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.67923 | − | 1.12201i | −0.318251 | − | 0.0368916i | ||||
\(926\) | −3.78109 | − | 6.54905i | −0.124254 | − | 0.215215i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 11.0529i | 0.362831i | ||||||||
\(929\) | 6.14474 | − | 10.6430i | 0.201602 | − | 0.349185i | −0.747443 | − | 0.664326i | \(-0.768718\pi\) |
0.949045 | + | 0.315141i | \(0.102052\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.28947 | −0.173356 | ||||||||
\(932\) | 1.34963 | + | 0.779207i | 0.0442085 | + | 0.0255238i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 2.53051 | + | 4.38296i | 0.0828007 | + | 0.143415i | ||||
\(935\) | 4.44259 | − | 13.4284i | 0.145288 | − | 0.439154i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 5.77242i | − | 0.188577i | −0.995545 | − | 0.0942884i | \(-0.969942\pi\) | ||
0.995545 | − | 0.0942884i | \(-0.0300576\pi\) | |||||||
\(938\) | 3.85781 | − | 2.22731i | 0.125962 | − | 0.0727242i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 19.3163 | + | 21.6848i | 0.630029 | + | 0.707280i | ||||
\(941\) | 55.8887 | 1.82192 | 0.910960 | − | 0.412495i | \(-0.135342\pi\) | ||||
0.910960 | + | 0.412495i | \(0.135342\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −6.48321 | − | 3.74308i | −0.211122 | − | 0.121891i | ||||
\(944\) | −8.50655 | −0.276864 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.69108 | − | 8.12520i | −0.152520 | − | 0.264173i | ||||
\(947\) | 1.64231 | − | 0.948188i | 0.0533679 | − | 0.0308120i | −0.473079 | − | 0.881020i | \(-0.656857\pi\) |
0.526447 | + | 0.850208i | \(0.323524\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 18.5487 | + | 6.64798i | 0.602117 | + | 0.215802i | ||||
\(950\) | −1.22905 | + | 1.65418i | −0.0398757 | + | 0.0536688i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −7.28483 | + | 4.20590i | −0.236103 | + | 0.136314i | ||||
\(953\) | −29.1438 | − | 16.8262i | −0.944059 | − | 0.545053i | −0.0528285 | − | 0.998604i | \(-0.516824\pi\) |
−0.891230 | + | 0.453551i | \(0.850157\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 42.6081 | − | 37.9543i | 1.37877 | − | 1.22817i | ||||
\(956\) | −3.78109 | + | 6.54905i | −0.122289 | + | 0.211811i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −6.95735 | − | 4.01683i | −0.224782 | − | 0.129778i | ||||
\(959\) | −28.2509 | − | 48.9320i | −0.912269 | − | 1.58010i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −16.7033 | −0.538817 | ||||||||
\(962\) | −1.50299 | − | 1.77339i | −0.0484584 | − | 0.0571765i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −21.4518 | − | 37.1556i | −0.690917 | − | 1.19670i | ||||
\(965\) | −43.4005 | + | 8.98300i | −1.39711 | + | 0.289173i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 23.0493i | − | 0.741216i | −0.928789 | − | 0.370608i | \(-0.879149\pi\) | ||
0.928789 | − | 0.370608i | \(-0.120851\pi\) | |||||||
\(968\) | 0.518015 | + | 0.299076i | 0.0166496 | + | 0.00961267i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.69855 | − | 1.22361i | −0.118753 | − | 0.0392879i | ||||
\(971\) | 7.45964 | − | 12.9205i | 0.239391 | − | 0.414638i | −0.721148 | − | 0.692781i | \(-0.756385\pi\) |
0.960540 | + | 0.278143i | \(0.0897188\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.98233 | + | 1.72185i | −0.0956092 | + | 0.0552000i | ||||
\(974\) | −12.2040 | −0.391041 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −25.1364 | −0.804595 | ||||||||
\(977\) | 20.2339 | − | 11.6821i | 0.647341 | − | 0.373742i | −0.140096 | − | 0.990138i | \(-0.544741\pi\) |
0.787437 | + | 0.616396i | \(0.211408\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −16.7425 | + | 28.9989i | −0.535093 | + | 0.926808i | ||||
\(980\) | −17.0404 | − | 5.63757i | −0.544334 | − | 0.180086i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −10.1292 | − | 5.84810i | −0.323236 | − | 0.186620i | ||||
\(983\) | 5.31119i | 0.169401i | 0.996406 | + | 0.0847003i | \(0.0269933\pi\) | ||||
−0.996406 | + | 0.0847003i | \(0.973007\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 47.4104 | − | 9.81295i | 1.51062 | − | 0.312667i | ||||
\(986\) | −0.967105 | − | 1.67508i | −0.0307989 | − | 0.0533453i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.35565 | − | 1.51577i | 0.265829 | − | 0.0482231i | ||||
\(989\) | −23.5185 | −0.747846 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 12.0440 | + | 20.8607i | 0.382589 | + | 0.662663i | 0.991432 | − | 0.130628i | \(-0.0416992\pi\) |
−0.608843 | + | 0.793291i | \(0.708366\pi\) | |||||||
\(992\) | −12.0644 | − | 6.96537i | −0.383044 | − | 0.221151i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 2.90999 | − | 5.04025i | 0.0922993 | − | 0.159867i | ||||
\(995\) | 30.4369 | − | 27.1125i | 0.964915 | − | 0.859523i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −17.6755 | − | 10.2050i | −0.559790 | − | 0.323195i | 0.193271 | − | 0.981145i | \(-0.438090\pi\) |
−0.753061 | + | 0.657951i | \(0.771424\pi\) | |||||||
\(998\) | −4.64692 | + | 2.68290i | −0.147096 | + | 0.0849258i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))