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 | 334.3 | ||
Root | \(-0.286513 + 0.165418i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 585.334 |
Dual form | 585.2.bs.a.289.3 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.286513 | − | 0.165418i | −0.202595 | − | 0.116968i | 0.395270 | − | 0.918565i | \(-0.370651\pi\) |
−0.597865 | + | 0.801597i | \(0.703984\pi\) | |||||||
\(3\) | 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 | \(-0.885151\pi\) |
−0.162072 | + | 0.986779i | \(0.551818\pi\) | |||||||
\(8\) | 1.28714i | 0.455071i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.492061 | − | 0.552395i | −0.155603 | − | 0.174683i | ||||
\(11\) | −1.62291 | + | 2.81095i | −0.489324 | + | 0.847535i | −0.999925 | − | 0.0122837i | \(-0.996090\pi\) |
0.510600 | + | 0.859818i | \(0.329423\pi\) | |||||||
\(12\) | 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 | \(-0.742611\pi\) |
0.281171 | + | 0.959658i | \(0.409277\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.622905 | − | 1.07890i | −0.142904 | − | 0.247517i | 0.785685 | − | 0.618627i | \(-0.212311\pi\) |
−0.928589 | + | 0.371110i | \(0.878977\pi\) | |||||||
\(20\) | −0.856821 | − | 4.13965i | −0.191591 | − | 0.925654i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.929966 | − | 0.536916i | 0.198269 | − | 0.114471i | ||||
\(23\) | 2.33117 | + | 1.34590i | 0.486083 | + | 0.280640i | 0.722948 | − | 0.690903i | \(-0.242787\pi\) |
−0.236865 | + | 0.971543i | \(0.576120\pi\) | |||||||
\(24\) | 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 | −0.971023 | − | 0.238987i | \(-0.923185\pi\) |
0.692480 | + | 0.721437i | \(0.256518\pi\) | |||||||
\(30\) | 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 | ||||||||
\(35\) | −7.34297 | + | 1.51984i | −1.24119 | + | 0.256900i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.68772 | + | 0.974404i | 0.277459 | + | 0.160191i | 0.632273 | − | 0.774746i | \(-0.282122\pi\) |
−0.354813 | + | 0.934937i | \(0.615456\pi\) | |||||||
\(38\) | 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 | −0.736774 | − | 0.676139i | \(-0.763652\pi\) |
0.953941 | + | 0.299995i | \(0.0969851\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −7.56654 | + | 4.36854i | −1.15389 | + | 0.666197i | −0.949831 | − | 0.312763i | \(-0.898745\pi\) |
−0.204055 | + | 0.978959i | \(0.565412\pi\) | |||||||
\(44\) | 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 | ||||
\(50\) | −0.656632 | − | 1.51827i | −0.0928618 | − | 0.214716i | ||||
\(51\) | 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 | ||||||||
\(55\) | −5.41950 | + | 4.82757i | −0.730766 | + | 0.650949i | ||||
\(56\) | −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 | 0.936667 | − | 0.350221i | \(-0.113894\pi\) |
−0.771634 | + | 0.636067i | \(0.780560\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.74581 | + | 6.48793i | 0.479602 | + | 0.830695i | 0.999726 | − | 0.0233957i | \(-0.00744777\pi\) |
−0.520124 | + | 0.854090i | \(0.674114\pi\) | |||||||
\(62\) | −1.08333 | − | 0.625462i | −0.137583 | − | 0.0794338i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.49162 | 0.686453 | ||||||||
\(65\) | 0.198649 | + | 8.05981i | 0.0246394 | + | 0.999696i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.47722 | − | 2.00758i | −0.424810 | − | 0.245264i | 0.272323 | − | 0.962206i | \(-0.412208\pi\) |
−0.697133 | + | 0.716942i | \(0.745541\pi\) | |||||||
\(68\) | 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 | 0.978640 | − | 0.205581i | \(-0.0659084\pi\) |
−0.667359 | + | 0.744737i | \(0.732575\pi\) | |||||||
\(72\) | 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 | \(0.782375\pi\) | |||||||
\(80\) | −5.60226 | + | 4.99036i | −0.626351 | + | 0.557939i | ||||
\(81\) | 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 | ||||||||
\(85\) | −4.26722 | + | 0.883225i | −0.462845 | + | 0.0957992i | ||||
\(86\) | 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 | 0.451726 | + | 0.892156i | \(0.350808\pi\) |
−0.998493 | + | 0.0548717i | \(0.982525\pi\) | |||||||
\(90\) | 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 | ||||
\(95\) | −0.564617 | − | 2.72790i | −0.0579285 | − | 0.279876i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.56055 | − | 2.63304i | 0.463054 | − | 0.267344i | −0.250273 | − | 0.968175i | \(-0.580521\pi\) |
0.713328 | + | 0.700831i | \(0.247187\pi\) | |||||||
\(98\) | −1.21648 | + | 0.702335i | −0.122883 | + | 0.0709465i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.08847 | − | 9.38986i | 0.108847 | − | 0.938986i | ||||
\(101\) | 2.85526 | − | 4.94546i | 0.284109 | − | 0.492092i | −0.688283 | − | 0.725442i | \(-0.741635\pi\) |
0.972393 | + | 0.233350i | \(0.0749688\pi\) | |||||||
\(102\) | 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 | \(-0.469363\pi\) |
−0.813967 | + | 0.580911i | \(0.802697\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.49162 | 0.813350 | 0.406675 | − | 0.913573i | \(-0.366688\pi\) | ||||
0.406675 | + | 0.913573i | \(0.366688\pi\) | |||||||
\(110\) | 2.35133 | − | 0.486675i | 0.224190 | − | 0.0464026i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | − | 11.2518i | − | 1.06320i | ||||||
\(113\) | 6.35006 | − | 3.66621i | 0.597363 | − | 0.344888i | −0.170640 | − | 0.985333i | \(-0.554584\pi\) |
0.768004 | + | 0.640446i | \(0.221250\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.00358 | + | 4.49448i | 0.373336 | + | 0.419113i | ||||
\(116\) | 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 | \(-0.466610\pi\) |
−0.808912 | + | 0.587930i | \(0.799943\pi\) | |||||||
\(128\) | −7.95484 | − | 4.59273i | −0.703115 | − | 0.405944i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.27632 | − | 2.34210i | 0.111941 | − | 0.205416i | ||||
\(131\) | −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 | \(-0.410927\pi\) |
0.970435 | + | 0.241361i | \(0.0775938\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.513452 | − | 0.889325i | −0.0435505 | − | 0.0754316i | 0.843429 | − | 0.537241i | \(-0.180534\pi\) |
−0.886979 | + | 0.461810i | \(0.847200\pi\) | |||||||
\(140\) | 9.42949 | + | 10.5857i | 0.796937 | + | 0.894654i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | − | 1.73551i | − | 0.145640i | ||||||
\(143\) | −11.5150 | − | 2.08890i | −0.962933 | − | 0.174682i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.00908 | + | 4.46197i | −0.415981 | + | 0.370546i | ||||
\(146\) | −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 | −0.983288 | − | 0.182056i | \(-0.941725\pi\) |
0.333979 | − | 0.942581i | \(-0.391609\pi\) | |||||||
\(150\) | 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 | ||||||||
\(160\) | 8.06738 | − | 1.66978i | 0.637783 | − | 0.132008i | ||||
\(161\) | −9.02690 | −0.711420 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.61808 | + | 2.08890i | −0.283390 | + | 0.163615i | −0.634957 | − | 0.772547i | \(-0.718982\pi\) |
0.351567 | + | 0.936163i | \(0.385649\pi\) | |||||||
\(164\) | −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 | \(-0.291916\pi\) |
−0.383407 | + | 0.923580i | \(0.625249\pi\) | |||||||
\(168\) | 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 | \(-0.774435\pi\) |
0.183979 | + | 0.982930i | \(0.441102\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −16.6559 | − | 1.93074i | −1.25906 | − | 0.145950i | ||||
\(176\) | −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 | −0.303958 | − | 0.952685i | \(-0.598308\pi\) |
0.977029 | − | 0.213107i | \(-0.0683584\pi\) | |||||||
\(180\) | 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 | ||||
\(185\) | 2.89851 | + | 3.25391i | 0.213102 | + | 0.239232i | ||||
\(186\) | 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 | 0.794387 | + | 0.607412i | \(0.207792\pi\) |
0.128841 | + | 0.991665i | \(0.458874\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 17.1652 | + | 9.91035i | 1.23558 | + | 0.713362i | 0.968188 | − | 0.250225i | \(-0.0805047\pi\) |
0.267392 | + | 0.963588i | \(0.413838\pi\) | |||||||
\(194\) | −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 | \(-0.613736\pi\) |
−0.986206 | + | 0.165521i | \(0.947070\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.11453 | + | 15.7868i | 0.646112 | + | 1.11910i | 0.984044 | + | 0.177928i | \(0.0569393\pi\) |
−0.337932 | + | 0.941171i | \(0.609727\pi\) | |||||||
\(200\) | −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 | ||||||||
\(205\) | 4.64357 | − | 4.13638i | 0.324321 | − | 0.288898i | ||||
\(206\) | −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 | 0.315149 | + | 0.949042i | \(0.397946\pi\) |
−0.979469 | + | 0.201594i | \(0.935388\pi\) | |||||||
\(212\) | 21.0119 | − | 12.1312i | 1.44310 | − | 0.833176i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.41837 | + | 2.45669i | 0.0969577 | + | 0.167936i | ||||
\(215\) | −19.1312 | + | 3.95976i | −1.30474 | + | 0.270053i | ||||
\(216\) | 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 | \(-0.469273\pi\) |
−0.813803 | + | 0.581141i | \(0.802606\pi\) | |||||||
\(224\) | −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 | \(-0.732230\pi\) |
0.312311 | + | 0.949980i | \(0.398897\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 26.9832 | 1.78310 | 0.891551 | − | 0.452920i | \(-0.149618\pi\) | ||||
0.891551 | + | 0.452920i | \(0.149618\pi\) | |||||||
\(230\) | −0.403608 | − | 1.94999i | −0.0266131 | − | 0.128579i | ||||
\(231\) | 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 | −0.956492 | − | 0.291760i | \(-0.905759\pi\) |
0.225575 | − | 0.974226i | \(-0.427574\pi\) | |||||||
\(242\) | − | 0.153745i | − | 0.00988310i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.08163 | − | 12.2657i | 0.453355 | − | 0.785234i | ||||
\(245\) | 7.08920 | − | 6.31489i | 0.452912 | − | 0.403443i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.90420 | − | 3.42669i | 0.184790 | − | 0.218035i | ||||
\(248\) | 4.86678i | 0.309041i | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.327631 | − | 3.68433i | −0.0207212 | − | 0.233017i | ||||
\(251\) | 9.51345 | + | 16.4778i | 0.600484 | + | 1.04007i | 0.992748 | + | 0.120216i | \(0.0383586\pi\) |
−0.392264 | + | 0.919853i | \(0.628308\pi\) | |||||||
\(252\) | 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 | \(-0.312356\pi\) |
−0.441883 | + | 0.897073i | \(0.645689\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.53528 | −0.406083 | ||||||||
\(260\) | 13.0082 | − | 7.94397i | 0.806737 | − | 0.492664i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.86513 | + | 1.65418i | 0.177008 | + | 0.102196i | ||||
\(263\) | 25.9092 | + | 14.9587i | 1.59763 | + | 0.922391i | 0.991943 | + | 0.126687i | \(0.0404343\pi\) |
0.605685 | + | 0.795704i | \(0.292899\pi\) | |||||||
\(264\) | 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 | −0.996889 | − | 0.0788127i | \(-0.974887\pi\) |
0.430191 | − | 0.902738i | \(-0.358446\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.91238 | + | 5.04439i | −0.176914 | + | 0.306425i | −0.940822 | − | 0.338901i | \(-0.889945\pi\) |
0.763908 | + | 0.645326i | \(0.223278\pi\) | |||||||
\(272\) | − | 6.53876i | − | 0.396471i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.57417 | −0.336748 | ||||||||
\(275\) | −14.8957 | + | 6.44216i | −0.898242 | + | 0.388477i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.7263 | − | 6.77017i | 0.704564 | − | 0.406780i | −0.104481 | − | 0.994527i | \(-0.533318\pi\) |
0.809045 | + | 0.587747i | \(0.199985\pi\) | |||||||
\(278\) | 0.339738i | 0.0203761i | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.95624 | − | 9.45139i | −0.116908 | − | 0.564829i | ||||
\(281\) | 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 | \(-0.236675\pi\) |
−0.218169 | + | 0.975911i | \(0.570009\pi\) | |||||||
\(284\) | 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 | ||||
\(290\) | 2.17326 | − | 0.449818i | 0.127618 | − | 0.0264142i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −8.94752 | + | 5.16586i | −0.523614 | + | 0.302309i | ||||
\(293\) | 11.6481 | − | 6.72506i | 0.680492 | − | 0.392882i | −0.119548 | − | 0.992828i | \(-0.538145\pi\) |
0.800040 | + | 0.599946i | \(0.204811\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.14902 | + | 5.55140i | 0.0668987 | + | 0.323215i | ||||
\(296\) | −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 | ||||||||
\(305\) | 3.39530 | + | 16.4041i | 0.194414 | + | 0.939295i | ||||
\(306\) | 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 | ||||||||
\(310\) | −1.86053 | − | 2.08866i | −0.105671 | − | 0.118628i | ||||
\(311\) | −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 | ||||||||
\(325\) | −5.23897 | + | 17.2497i | −0.290606 | + | 0.956843i | ||||
\(326\) | 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 | 0.903984 | − | 0.427567i | \(-0.140629\pi\) |
−0.822276 | + | 0.569089i | \(0.807296\pi\) | |||||||
\(332\) | −14.1125 | + | 8.14783i | −0.774522 | + | 0.447171i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.554726 | − | 0.960814i | −0.0303533 | − | 0.0525734i | ||||
\(335\) | −5.97182 | − | 6.70407i | −0.326276 | − | 0.366282i | ||||
\(336\) | 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 | ||||||||
\(340\) | 5.47976 | + | 6.15167i | 0.297182 | + | 0.333621i | ||||
\(341\) | −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 | \(-0.556533\pi\) |
0.764067 | + | 0.645137i | \(0.223200\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.48655 | − | 7.77093i | 0.240159 | − | 0.415968i | −0.720600 | − | 0.693351i | \(-0.756134\pi\) |
0.960760 | + | 0.277383i | \(0.0894670\pi\) | |||||||
\(350\) | 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 | 0.995036 | + | 0.0995150i | \(0.0317291\pi\) |
0.583701 | + | 0.811969i | \(0.301604\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.37747 | + | 11.4865i | 0.126183 | + | 0.609641i | ||||
\(356\) | 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 | \(-0.221420\pi\) |
−0.171165 | + | 0.985242i | \(0.554753\pi\) | |||||||
\(368\) | −7.82169 | + | 4.51586i | −0.407734 | + | 0.235405i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.292203 | − | 1.41175i | −0.0151909 | − | 0.0733935i | ||||
\(371\) | −21.5185 | − | 37.2712i | −1.11719 | − | 1.93502i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 13.2168 | − | 7.63070i | 0.684338 | − | 0.395103i | −0.117149 | − | 0.993114i | \(-0.537376\pi\) |
0.801488 | + | 0.598012i | \(0.204042\pi\) | |||||||
\(374\) | −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 | −0.531157 | − | 0.847273i | \(-0.678243\pi\) |
0.999339 | + | 0.0363588i | \(0.0115759\pi\) | |||||||
\(380\) | −3.93256 | + | 3.50304i | −0.201736 | + | 0.179702i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | − | 8.44246i | − | 0.431954i | ||||||
\(383\) | 1.24784 | − | 0.720440i | 0.0637616 | − | 0.0368128i | −0.467780 | − | 0.883845i | \(-0.654946\pi\) |
0.531542 | + | 0.847032i | \(0.321613\pi\) | |||||||
\(384\) | 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 | \(-0.807775\pi\) |
0.0802063 | + | 0.996778i | \(0.474442\pi\) | |||||||
\(398\) | − | 6.03084i | − | 0.302298i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −15.3980 | + | 6.65940i | −0.769898 | + | 0.332970i | ||||
\(401\) | 11.1011 | − | 19.2276i | 0.554361 | − | 0.960182i | −0.443592 | − | 0.896229i | \(-0.646296\pi\) |
0.997953 | − | 0.0639527i | \(-0.0203707\pi\) | |||||||
\(402\) | 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 | 0.722030 | − | 0.691862i | \(-0.243209\pi\) |
−0.960185 | + | 0.279366i | \(0.909876\pi\) | |||||||
\(410\) | −2.01468 | + | 0.416996i | −0.0994978 | + | 0.0205939i | ||||
\(411\) | 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 | −0.841143 | − | 0.540813i | \(-0.818117\pi\) |
0.888929 | + | 0.458044i | \(0.151450\pi\) | |||||||
\(420\) | 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 | ||||||||
\(425\) | −9.67923 | − | 1.12201i | −0.469511 | − | 0.0544257i | ||||
\(426\) | 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 | −0.401727 | − | 0.915759i | \(-0.631590\pi\) |
0.993934 | − | 0.109974i | \(-0.0350767\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 31.2400 | − | 18.0364i | 1.50130 | − | 0.866775i | 0.501299 | − | 0.865274i | \(-0.332856\pi\) |
0.999999 | − | 0.00150085i | \(-0.000477735\pi\) | |||||||
\(434\) | 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 | −0.834188 | − | 0.551480i | \(-0.814063\pi\) |
0.894690 | + | 0.446688i | \(0.147397\pi\) | |||||||
\(440\) | −6.21373 | − | 6.97563i | −0.296228 | − | 0.332550i | ||||
\(441\) | 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 | ||||||||
\(445\) | −17.2252 | + | 15.3438i | −0.816552 | + | 0.727365i | ||||
\(446\) | 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 | 0.994828 | + | 0.101576i | \(0.0323884\pi\) |
−0.409447 | + | 0.912334i | \(0.634278\pi\) | |||||||
\(450\) | 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 | ||||||||
\(455\) | −14.0911 | − | 23.0742i | −0.660601 | − | 1.08173i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −6.55363 | − | 3.78374i | −0.306566 | − | 0.176996i | 0.338823 | − | 0.940850i | \(-0.389971\pi\) |
−0.645389 | + | 0.763854i | \(0.723305\pi\) | |||||||
\(458\) | −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 | 0.685756 | − | 0.727831i | \(-0.259472\pi\) |
−0.973198 | + | 0.229967i | \(0.926138\pi\) | |||||||
\(462\) | 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 | ||||||||
\(470\) | −3.79473 | + | 3.38026i | −0.175038 | + | 0.155920i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.82606 | + | 1.63163i | −0.130080 | + | 0.0751017i | ||||
\(473\) | − | 28.3589i | − | 1.30394i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.717267 | − | 6.18762i | 0.0329105 | − | 0.283907i | ||||
\(476\) | −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 | 0.443166 | + | 0.896439i | \(0.353855\pi\) |
−0.997922 | + | 0.0644264i | \(0.979478\pi\) | |||||||
\(480\) | 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 | ||||
\(485\) | 11.5309 | − | 2.38665i | 0.523591 | − | 0.108372i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 31.9462 | − | 18.4441i | 1.44762 | − | 0.835783i | 0.449280 | − | 0.893391i | \(-0.351681\pi\) |
0.998339 | + | 0.0576081i | \(0.0183474\pi\) | |||||||
\(488\) | −8.35085 | + | 4.82136i | −0.378025 | + | 0.218253i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −3.07574 | + | 0.636614i | −0.138948 | + | 0.0287593i | ||||
\(491\) | −17.6767 | + | 30.6170i | −0.797739 | + | 1.38172i | 0.123346 | + | 0.992364i | \(0.460637\pi\) |
−0.921085 | + | 0.389361i | \(0.872696\pi\) | |||||||
\(492\) | 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 | \(0.618257\pi\) | |||||||
\(500\) | 8.90554 | − | 19.1693i | 0.398268 | − | 0.857278i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | − | 6.29480i | − | 0.280950i | ||||||
\(503\) | 17.5270 | − | 10.1192i | 0.781489 | − | 0.451193i | −0.0554688 | − | 0.998460i | \(-0.517665\pi\) |
0.836958 | + | 0.547268i | \(0.184332\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.53482 | − | 8.49339i | 0.424294 | − | 0.377951i | ||||
\(506\) | 2.89055 | 0.128500 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 17.3244i | 0.768646i | ||||||||
\(509\) | 10.0185 | − | 17.3526i | 0.444063 | − | 0.769140i | −0.553923 | − | 0.832568i | \(-0.686870\pi\) |
0.997986 | + | 0.0634276i | \(0.0202032\pi\) | |||||||
\(510\) | 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 | ||||||||
\(520\) | −10.3741 | + | 0.255688i | −0.454933 | + | 0.0112127i | ||||
\(521\) | −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 | \(-0.415946\pi\) |
−0.705505 | + | 0.708705i | \(0.749280\pi\) | |||||||
\(524\) | 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 | ||||
\(530\) | 7.08920 | − | 6.31489i | 0.307935 | − | 0.274301i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | − | 7.89832i | − | 0.342436i | ||||||
\(533\) | 9.86635 | + | 1.78982i | 0.427359 | + | 0.0775258i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −12.7530 | − | 14.3167i | −0.551358 | − | 0.618964i | ||||
\(536\) | 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 | ||||||||
\(550\) | 5.33345 | + | 0.618252i | 0.227419 | + | 0.0263624i | ||||
\(551\) | 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 | \(-0.0589006\pi\) |
0.332126 | + | 0.943235i | \(0.392234\pi\) | |||||||
\(558\) | 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 | \(-0.633052\pi\) |
0.588500 | + | 0.808497i | \(0.299719\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 16.0555 | − | 3.32315i | 0.675459 | − | 0.139806i | ||||
\(566\) | −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 | −0.694375 | − | 0.719614i | \(-0.744319\pi\) |
0.970391 | + | 0.241539i | \(0.0776522\pi\) | |||||||
\(570\) | 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 | ||||
\(575\) | 5.34259 | + | 12.3532i | 0.222801 | + | 0.515165i | ||||
\(576\) | 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 | \(-0.0189371\pi\) |
0.447624 | + | 0.894222i | \(0.352270\pi\) | |||||||
\(588\) | 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 | ||||||||
\(595\) | 10.9119 | − | 9.72008i | 0.447345 | − | 0.398484i | ||||
\(596\) | −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 | −0.931600 | − | 0.363484i | \(-0.881587\pi\) |
0.780587 | + | 0.625048i | \(0.214920\pi\) | |||||||
\(602\) | −8.39472 | + | 4.84669i | −0.342143 | + | 0.197536i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −13.7494 | − | 23.8147i | −0.559456 | − | 0.969005i | ||||
\(605\) | 0.210615 | + | 1.01757i | 0.00856273 | + | 0.0413700i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9.26059 | + | 5.34661i | −0.375876 | + | 0.217012i | −0.676022 | − | 0.736881i | \(-0.736298\pi\) |
0.300146 | + | 0.953893i | \(0.402964\pi\) | |||||||
\(608\) | −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 | \(-0.294141\pi\) |
−0.389854 | + | 0.920877i | \(0.627475\pi\) | |||||||
\(614\) | 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 | \(-0.888102\pi\) |
−0.171213 | + | 0.985234i | \(0.554769\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 26.4043 | 1.06128 | 0.530639 | − | 0.847598i | \(-0.321952\pi\) | ||||
0.530639 | + | 0.847598i | \(0.321952\pi\) | |||||||
\(620\) | −3.23972 | − | 15.6524i | −0.130110 | − | 0.628616i | ||||
\(621\) | 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 | −0.968463 | − | 0.249158i | \(-0.919846\pi\) |
0.268454 | − | 0.963293i | \(-0.413487\pi\) | |||||||
\(632\) | − | 17.7381i | − | 0.705585i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 4.76764 | − | 8.25780i | 0.189347 | − | 0.327959i | ||||
\(635\) | −13.6294 | − | 15.3005i | −0.540865 | − | 0.607184i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 15.0626 | + | 2.73247i | 0.596804 | + | 0.108264i | ||||
\(638\) | 3.22150i | 0.127540i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −13.6617 | − | 15.3369i | −0.540028 | − | 0.606244i | ||||
\(641\) | 2.76257 | + | 4.78491i | 0.109115 | + | 0.188993i | 0.915412 | − | 0.402518i | \(-0.131865\pi\) |
−0.806297 | + | 0.591511i | \(0.798532\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 27.8472 | − | 16.0776i | 1.09819 | − | 0.634039i | 0.162444 | − | 0.986718i | \(-0.448062\pi\) |
0.935744 | + | 0.352679i | \(0.114729\pi\) | |||||||
\(644\) | 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 | \(-0.420674\pi\) |
−0.715953 | + | 0.698149i | \(0.754007\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8.22905 | −0.323019 | ||||||||
\(650\) | 4.35445 | − | 4.07565i | 0.170796 | − | 0.159860i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.84015 | + | 3.94916i | 0.267881 | + | 0.154661i | ||||
\(653\) | −7.36296 | − | 4.25101i | −0.288135 | − | 0.166355i | 0.348965 | − | 0.937136i | \(-0.386533\pi\) |
−0.637100 | + | 0.770781i | \(0.719866\pi\) | |||||||
\(654\) | 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 | 0.823956 | − | 0.566654i | \(-0.191763\pi\) |
−0.902715 | + | 0.430239i | \(0.858429\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.6364 | + | 27.0830i | −0.608184 | + | 1.05341i | 0.383356 | + | 0.923601i | \(0.374768\pi\) |
−0.991540 | + | 0.129805i | \(0.958565\pi\) | |||||||
\(662\) | − | 0.983609i | − | 0.0382290i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 11.0945 | 0.430551 | ||||||||
\(665\) | 6.21373 | + | 6.97563i | 0.240958 | + | 0.270503i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.99351 | + | 4.03771i | −0.270790 | + | 0.156341i | ||||
\(668\) | − | 6.33991i | − | 0.245298i | ||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.602029 | + | 2.90865i | 0.0232584 | + | 0.112371i | ||||
\(671\) | −24.3164 | −0.938723 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −27.7768 | − | 16.0370i | −1.07072 | − | 0.618179i | −0.142340 | − | 0.989818i | \(-0.545463\pi\) |
−0.928377 | + | 0.371639i | \(0.878796\pi\) | |||||||
\(674\) | 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 | ||||
\(680\) | −1.13683 | − | 5.49249i | −0.0435954 | − | 0.210627i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.51629 | − | 2.03013i | 0.134646 | − | 0.0777377i | ||||
\(683\) | −22.3302 | + | 12.8923i | −0.854440 | + | 0.493311i | −0.862146 | − | 0.506659i | \(-0.830880\pi\) |
0.00770647 | + | 0.999970i | \(0.497547\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 36.8929 | − | 7.63605i | 1.40961 | − | 0.291759i | ||||
\(686\) | −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 | −0.865610 | − | 0.500719i | \(-0.833069\pi\) |
0.866440 | + | 0.499281i | \(0.166402\pi\) | |||||||
\(692\) | 14.3049 | + | 8.25894i | 0.543791 | + | 0.313958i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.18002 | −0.158671 | ||||||||
\(695\) | −0.465407 | − | 2.24857i | −0.0176539 | − | 0.0852931i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.41982i | 0.205290i | ||||||||
\(698\) | −2.57091 | + | 1.48431i | −0.0973103 | + | 0.0561821i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 12.5832 | + | 29.0951i | 0.475601 | + | 1.09969i | ||||
\(701\) | 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 | 0.989357 | − | 0.145511i | \(-0.0464827\pi\) |
−0.620695 | + | 0.784052i | \(0.713149\pi\) | |||||||
\(710\) | 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 | ||||||||
\(715\) | −22.9781 | − | 12.5219i | −0.859334 | − | 0.468293i | ||||
\(716\) | −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 | −0.846351 | − | 0.532625i | \(-0.821206\pi\) |
−0.0380914 | − | 0.999274i | \(-0.512128\pi\) | |||||||
\(720\) | 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 | ||||
\(725\) | −13.7676 | + | 5.95429i | −0.511315 | + | 0.221137i | ||||
\(726\) | 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 | ||||||||
\(730\) | −3.01880 | + | 2.68908i | −0.111731 | + | 0.0995272i | ||||
\(731\) | 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 | 0.353217 | + | 0.935541i | \(0.385088\pi\) |
−0.986811 | + | 0.161876i | \(0.948246\pi\) | |||||||
\(740\) | 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 | \(-0.601752\pi\) |
−0.979277 | + | 0.202526i | \(0.935085\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.18418 | − | 34.7097i | −0.263208 | − | 1.27167i | ||||
\(746\) | −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 | 0.400822 | + | 0.916156i | \(0.368725\pi\) |
−0.993825 | + | 0.110956i | \(0.964609\pi\) | |||||||
\(752\) | 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 | \(-0.257223\pi\) |
−0.280669 | + | 0.959805i | \(0.590556\pi\) | |||||||
\(758\) | −5.22286 | + | 3.01542i | −0.189703 | + | 0.109525i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.51117 | − | 0.726739i | 0.127364 | − | 0.0263616i | ||||
\(761\) | −1.99493 | − | 3.45532i | −0.0723161 | − | 0.125255i | 0.827600 | − | 0.561318i | \(-0.189706\pi\) |
−0.899916 | + | 0.436063i | \(0.856372\pi\) | |||||||
\(762\) | 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 | −0.799642 | − | 0.600476i | \(-0.794978\pi\) |
0.919849 | + | 0.392272i | \(0.128311\pi\) | |||||||
\(770\) | −6.01268 | + | 5.35596i | −0.216682 | + | 0.193015i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | − | 37.4720i | − | 1.34865i | ||||||
\(773\) | 41.8593 | − | 24.1675i | 1.50557 | − | 0.869244i | 0.505595 | − | 0.862771i | \(-0.331273\pi\) |
0.999979 | − | 0.00647254i | \(-0.00206029\pi\) | |||||||
\(774\) | 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 | \(-0.832729\pi\) |
0.00189876 | + | 0.999998i | \(0.499396\pi\) | |||||||
\(788\) | 40.9341i | 1.45822i | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 6.78113 | + | 7.61261i | 0.241262 | + | 0.270845i | ||||
\(791\) | −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 | \(-0.895940\pi\) |
−0.195418 | + | 0.980720i | \(0.562607\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.69377 | + | 11.5939i | 0.236808 | + | 0.410164i | ||||
\(800\) | 18.2990 | + | 2.12122i | 0.646969 | + | 0.0749965i | ||||
\(801\) | 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 | −0.965004 | − | 0.262234i | \(-0.915541\pi\) |
0.709604 | + | 0.704601i | \(0.248874\pi\) | |||||||
\(810\) | 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 | ||||||||
\(815\) | −9.14794 | + | 1.89343i | −0.320438 | + | 0.0663240i | ||||
\(816\) | 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 | −0.527850 | − | 0.849337i | \(-0.677002\pi\) |
0.999473 | + | 0.0324629i | \(0.0103351\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 34.2914 | − | 19.7981i | 1.19532 | − | 0.690120i | 0.235814 | − | 0.971798i | \(-0.424225\pi\) |
0.959509 | + | 0.281679i | \(0.0908912\pi\) | |||||||
\(824\) | 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 | −0.718690 | − | 0.695331i | \(-0.755258\pi\) |
0.961519 | + | 0.274738i | \(0.0885913\pi\) | |||||||
\(830\) | −4.76140 | + | 4.24134i | −0.165271 | + | 0.147219i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 6.68044 | + | 18.6393i | 0.231603 | + | 0.646202i | ||||
\(833\) | 8.27427i | 0.286686i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 4.98770 | + | 5.59927i | 0.172607 | + | 0.193771i | ||||
\(836\) | −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 | 0.714631 | − | 0.699502i | \(-0.246595\pi\) |
−0.963102 | + | 0.269138i | \(0.913261\pi\) | |||||||
\(840\) | 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 | ||||||||
\(845\) | −27.1145 | + | 10.4788i | −0.932766 | + | 0.360483i | ||||
\(846\) | 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 | \(0.506951\pi\) | |||||||
\(860\) | 24.5674 | + | 27.5798i | 0.837742 | + | 0.940462i | ||||
\(861\) | 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 | ||||||||
\(865\) | −19.1312 | + | 3.95976i | −0.650481 | + | 0.134636i | ||||
\(866\) | −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 | ||||
\(875\) | −34.0028 | − | 15.7968i | −1.14950 | − | 0.534028i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −48.3989 | + | 27.9431i | −1.63431 | + | 0.943572i | −0.651573 | + | 0.758586i | \(0.725890\pi\) |
−0.982741 | + | 0.184985i | \(0.940776\pi\) | |||||||
\(878\) | −0.726391 | + | 0.419382i | −0.0245145 | + | 0.0141535i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.93574 | − | 23.8466i | −0.166384 | − | 0.803867i | ||||
\(881\) | 12.5975 | − | 21.8195i | 0.424420 | − | 0.735116i | −0.571946 | − | 0.820291i | \(-0.693811\pi\) |
0.996366 | + | 0.0851746i | \(0.0271448\pi\) | |||||||
\(882\) | 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 | \(-0.400480\pi\) |
−0.670250 | + | 0.742136i | \(0.733813\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 30.7302 | 1.03066 | ||||||||
\(890\) | 7.47338 | − | 1.54683i | 0.250508 | − | 0.0518499i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 23.3875i | 0.783071i | ||||||||
\(893\) | −7.41163 | + | 4.27911i | −0.248021 | + | 0.143195i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 30.0714 | − | 26.7869i | 1.00518 | − | 0.895387i | ||||
\(896\) | 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 | \(-0.109908\pi\) |
0.177369 | + | 0.984144i | \(0.443241\pi\) | |||||||
\(908\) | 10.0901 | + | 5.82555i | 0.334853 | + | 0.193328i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.220391 | + | 8.94198i | 0.00730591 | + | 0.296424i | ||||
\(911\) | −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 | 0.873314 | − | 0.487157i | \(-0.161966\pi\) |
−0.858547 | + | 0.512734i | \(0.828633\pi\) | |||||||
\(920\) | −5.78501 | + | 5.15315i | −0.190726 | + | 0.169894i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 4.08361i | 0.134486i | ||||||||
\(923\) | −12.2289 | + | 14.4290i | −0.402518 | + | 0.474935i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.86792 | + | 8.94346i | 0.127176 | + | 0.294059i | ||||
\(926\) | −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 | 0.949045 | − | 0.315141i | \(-0.102052\pi\) |
−0.747443 | + | 0.664326i | \(0.768718\pi\) | |||||||
\(930\) | 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 | ||||||||
\(940\) | −28.4377 | + | 5.88601i | −0.927537 | + | 0.191981i | ||||
\(941\) | 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 | \(-0.343143\pi\) |
−0.526447 | + | 0.850208i | \(0.676476\pi\) | |||||||
\(948\) | 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 | \(-0.483176\pi\) |
0.891230 | + | 0.453551i | \(0.149843\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 11.5653 | + | 55.8768i | 0.374245 | + | 1.80813i | ||||
\(956\) | −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 | ||||
\(965\) | 29.4798 | + | 33.0945i | 0.948987 | + | 1.06535i | ||||
\(966\) | 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 | 0.960540 | − | 0.278143i | \(-0.0897188\pi\) |
−0.721148 | + | 0.692781i | \(0.756385\pi\) | |||||||
\(972\) | 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 | \(-0.455259\pi\) |
−0.787437 | + | 0.616396i | \(0.788592\pi\) | |||||||
\(978\) | 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 | ||||||||
\(985\) | −32.2035 | − | 36.1521i | −1.02609 | − | 1.15190i | ||||
\(986\) | −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 | −0.608843 | − | 0.793291i | \(-0.708366\pi\) |
0.991432 | + | 0.130628i | \(0.0416992\pi\) | |||||||
\(992\) | 12.0644 | − | 6.96537i | 0.383044 | − | 0.221151i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 2.90999 | + | 5.04025i | 0.0922993 | + | 0.159867i | ||||
\(995\) | 8.26164 | + | 39.9154i | 0.261912 | + | 1.26540i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 17.6755 | − | 10.2050i | 0.559790 | − | 0.323195i | −0.193271 | − | 0.981145i | \(-0.561910\pi\) |
0.753061 | + | 0.657951i | \(0.228576\pi\) | |||||||
\(998\) | 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 \(a_p\))