Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [65,2,Mod(9,65)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(65, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("65.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 65 = 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 65.n (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: | \(0.519027613138\) |
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: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 29.4 | ||
Root | \(0.286513 + 0.165418i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 65.29 |
Dual form | 65.2.n.a.9.4 |
$q$-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 \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 | \(0.296016\pi\) | |||||||
\(3\) | 2.33117 | − | 1.34590i | 1.34590 | − | 0.777057i | 0.358236 | − | 0.933631i | \(-0.383378\pi\) |
0.987666 | + | 0.156574i | \(0.0500450\pi\) | |||||||
\(4\) | −0.945274 | + | 1.63726i | −0.472637 | + | 0.818631i | ||||
\(5\) | −2.12291 | + | 0.702335i | −0.949392 | + | 0.314094i | ||||
\(6\) | 0.445274 | − | 0.771236i | 0.181782 | − | 0.314856i | ||||
\(7\) | −2.90420 | − | 1.67674i | −1.09768 | − | 0.633748i | −0.162072 | − | 0.986779i | \(-0.551818\pi\) |
−0.935611 | + | 0.353031i | \(0.885151\pi\) | |||||||
\(8\) | 1.28714i | 0.455071i | ||||||||
\(9\) | 2.12291 | − | 3.67698i | 0.707635 | − | 1.22566i | ||||
\(10\) | −0.492061 | + | 0.552395i | −0.155603 | + | 0.174683i | ||||
\(11\) | 1.62291 | + | 2.81095i | 0.489324 | + | 0.847535i | 0.999925 | − | 0.0122837i | \(-0.00391011\pi\) |
−0.510600 | + | 0.859818i | \(0.670577\pi\) | |||||||
\(12\) | 5.08898i | 1.46906i | ||||||||
\(13\) | 1.21648 | − | 3.39414i | 0.337391 | − | 0.941365i | ||||
\(14\) | −1.10945 | −0.296514 | ||||||||
\(15\) | −4.00358 | + | 4.49448i | −1.03372 | + | 1.16047i | ||||
\(16\) | −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 | \(0.590723\pi\) | |||||||
\(18\) | − | 1.40467i | − | 0.331084i | ||||||
\(19\) | −0.622905 | + | 1.07890i | −0.142904 | + | 0.247517i | −0.928589 | − | 0.371110i | \(-0.878977\pi\) |
0.785685 | + | 0.618627i | \(0.212311\pi\) | |||||||
\(20\) | 0.856821 | − | 4.13965i | 0.191591 | − | 0.925654i | ||||
\(21\) | −9.02690 | −1.96983 | ||||||||
\(22\) | 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 | \(0.423880\pi\) | |||||||
\(24\) | 1.73236 | + | 3.00053i | 0.353616 | + | 0.612481i | ||||
\(25\) | 4.01345 | − | 2.98198i | 0.802690 | − | 0.596396i | ||||
\(26\) | −0.212916 | − | 1.17369i | −0.0417562 | − | 0.230180i | ||||
\(27\) | − | 3.35348i | − | 0.645377i | ||||||
\(28\) | 5.49052 | − | 3.16995i | 1.03761 | − | 0.599065i | ||||
\(29\) | 1.50000 | + | 2.59808i | 0.278543 | + | 0.482451i | 0.971023 | − | 0.238987i | \(-0.0768152\pi\) |
−0.692480 | + | 0.721437i | \(0.743482\pi\) | |||||||
\(30\) | −0.403608 | + | 1.94999i | −0.0736883 | + | 0.356018i | ||||
\(31\) | 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 | ||||
\(33\) | 7.56654 | + | 4.36854i | 1.31717 | + | 0.760466i | ||||
\(34\) | 0.644737 | 0.110571 | ||||||||
\(35\) | 7.34297 | + | 1.51984i | 1.24119 | + | 0.256900i | ||||
\(36\) | 4.01345 | + | 6.95150i | 0.668909 | + | 1.15858i | ||||
\(37\) | 1.68772 | − | 0.974404i | 0.277459 | − | 0.160191i | −0.354813 | − | 0.934937i | \(-0.615456\pi\) |
0.632273 | + | 0.774746i | \(0.282122\pi\) | |||||||
\(38\) | 0.412160i | 0.0668611i | ||||||||
\(39\) | −1.73236 | − | 9.54958i | −0.277399 | − | 1.52916i | ||||
\(40\) | −0.904000 | − | 2.73247i | −0.142935 | − | 0.432041i | ||||
\(41\) | −1.39055 | − | 2.40850i | −0.217167 | − | 0.376144i | 0.736774 | − | 0.676139i | \(-0.236348\pi\) |
−0.953941 | + | 0.299995i | \(0.903015\pi\) | |||||||
\(42\) | −2.58632 | + | 1.49321i | −0.399078 | + | 0.230408i | ||||
\(43\) | −7.56654 | − | 4.36854i | −1.15389 | − | 0.666197i | −0.204055 | − | 0.978959i | \(-0.565412\pi\) |
−0.949831 | + | 0.312763i | \(0.898745\pi\) | |||||||
\(44\) | −6.13636 | −0.925091 | ||||||||
\(45\) | −1.92426 | + | 9.29687i | −0.286851 | + | 1.38590i | ||||
\(46\) | −0.445274 | + | 0.771236i | −0.0656520 | + | 0.113713i | ||||
\(47\) | − | 6.86960i | − | 1.00203i | −0.865437 | − | 0.501017i | \(-0.832959\pi\) | ||
0.865437 | − | 0.501017i | \(-0.167041\pi\) | |||||||
\(48\) | −7.82169 | − | 4.51586i | −1.12896 | − | 0.651808i | ||||
\(49\) | 2.12291 | + | 3.67698i | 0.303272 | + | 0.525283i | ||||
\(50\) | 0.656632 | − | 1.51827i | 0.0928618 | − | 0.214716i | ||||
\(51\) | 5.24581 | 0.734560 | ||||||||
\(52\) | 4.40719 | + | 5.20008i | 0.611167 | + | 0.721122i | ||||
\(53\) | 12.8336i | 1.76282i | 0.472347 | + | 0.881412i | \(0.343407\pi\) | ||||
−0.472347 | + | 0.881412i | \(0.656593\pi\) | |||||||
\(54\) | −0.554726 | − | 0.960814i | −0.0754887 | − | 0.130750i | ||||
\(55\) | −5.41950 | − | 4.82757i | −0.730766 | − | 0.650949i | ||||
\(56\) | 2.15819 | − | 3.73809i | 0.288400 | − | 0.499524i | ||||
\(57\) | 3.35348i | 0.444179i | ||||||||
\(58\) | 0.859539 | + | 0.496255i | 0.112863 | + | 0.0651614i | ||||
\(59\) | −1.26764 | + | 2.19562i | −0.165033 | + | 0.285845i | −0.936667 | − | 0.350221i | \(-0.886106\pi\) |
0.771634 | + | 0.636067i | \(0.219440\pi\) | |||||||
\(60\) | −3.57417 | − | 10.8034i | −0.461423 | − | 1.39472i | ||||
\(61\) | 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 | ||||
\(63\) | −12.3307 | + | 7.11911i | −1.55352 | + | 0.896924i | ||||
\(64\) | 5.49162 | 0.686453 | ||||||||
\(65\) | −0.198649 | + | 8.05981i | −0.0246394 | + | 0.999696i | ||||
\(66\) | 2.89055 | 0.355802 | ||||||||
\(67\) | −3.47722 | + | 2.00758i | −0.424810 | + | 0.245264i | −0.697133 | − | 0.716942i | \(-0.745541\pi\) |
0.272323 | + | 0.962206i | \(0.412208\pi\) | |||||||
\(68\) | −3.19071 | + | 1.84216i | −0.386930 | + | 0.223394i | ||||
\(69\) | −3.62291 | + | 6.27506i | −0.436147 | + | 0.755428i | ||||
\(70\) | 2.35526 | − | 0.779207i | 0.281508 | − | 0.0931331i | ||||
\(71\) | −2.62291 | + | 4.54300i | −0.311282 | + | 0.539155i | −0.978640 | − | 0.205581i | \(-0.934092\pi\) |
0.667359 | + | 0.744737i | \(0.267425\pi\) | |||||||
\(72\) | 4.73277 | + | 2.73247i | 0.557762 | + | 0.322024i | ||||
\(73\) | 5.46493i | 0.639622i | 0.947481 | + | 0.319811i | \(0.103619\pi\) | ||||
−0.947481 | + | 0.319811i | \(0.896381\pi\) | |||||||
\(74\) | 0.322368 | − | 0.558359i | 0.0374746 | − | 0.0649079i | ||||
\(75\) | 5.34259 | − | 12.3532i | 0.616909 | − | 1.42643i | ||||
\(76\) | −1.17763 | − | 2.03972i | −0.135084 | − | 0.233972i | ||||
\(77\) | − | 10.8848i | − | 1.24043i | ||||||
\(78\) | −2.07602 | − | 2.44951i | −0.235063 | − | 0.277353i | ||||
\(79\) | −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 | ||||
\(81\) | 1.85526 | + | 3.21341i | 0.206140 | + | 0.357046i | ||||
\(82\) | −0.796819 | − | 0.460044i | −0.0879940 | − | 0.0508033i | ||||
\(83\) | − | 8.61955i | − | 0.946119i | −0.881031 | − | 0.473059i | \(-0.843150\pi\) | ||
0.881031 | − | 0.473059i | \(-0.156850\pi\) | |||||||
\(84\) | 8.53289 | − | 14.7794i | 0.931015 | − | 1.61257i | ||||
\(85\) | −4.26722 | − | 0.883225i | −0.462845 | − | 0.0957992i | ||||
\(86\) | −2.89055 | −0.311696 | ||||||||
\(87\) | 6.99351 | + | 4.03771i | 0.749783 | + | 0.432888i | ||||
\(88\) | −3.61808 | + | 2.08890i | −0.385688 | + | 0.222677i | ||||
\(89\) | 5.15819 | + | 8.93425i | 0.546767 | + | 0.947028i | 0.998493 | + | 0.0548717i | \(0.0174750\pi\) |
−0.451726 | + | 0.892156i | \(0.649192\pi\) | |||||||
\(90\) | 0.986548 | + | 2.98198i | 0.103991 | + | 0.314328i | ||||
\(91\) | −9.22398 | + | 7.81753i | −0.966936 | + | 0.819500i | ||||
\(92\) | − | 5.08898i | − | 0.530563i | ||||||
\(93\) | 8.81438 | − | 5.08898i | 0.914008 | − | 0.527703i | ||||
\(94\) | −1.13636 | − | 1.96823i | −0.117206 | − | 0.203007i | ||||
\(95\) | 0.564617 | − | 2.72790i | 0.0579285 | − | 0.279876i | ||||
\(96\) | −9.91745 | −1.01220 | ||||||||
\(97\) | 4.56055 | + | 2.63304i | 0.463054 | + | 0.267344i | 0.713328 | − | 0.700831i | \(-0.247187\pi\) |
−0.250273 | + | 0.968175i | \(0.580521\pi\) | |||||||
\(98\) | 1.21648 | + | 0.702335i | 0.122883 | + | 0.0709465i | ||||
\(99\) | 13.7811 | 1.38505 | ||||||||
\(100\) | 1.08847 | + | 9.38986i | 0.108847 | + | 0.938986i | ||||
\(101\) | −2.85526 | − | 4.94546i | −0.284109 | − | 0.492092i | 0.688283 | − | 0.725442i | \(-0.258365\pi\) |
−0.972393 | + | 0.233350i | \(0.925031\pi\) | |||||||
\(102\) | 1.50299 | − | 0.867753i | 0.148818 | − | 0.0859203i | ||||
\(103\) | 7.36863i | 0.726052i | 0.931779 | + | 0.363026i | \(0.118256\pi\) | ||||
−0.931779 | + | 0.363026i | \(0.881744\pi\) | |||||||
\(104\) | 4.36872 | + | 1.56577i | 0.428388 | + | 0.153537i | ||||
\(105\) | 19.1633 | − | 6.33991i | 1.87014 | − | 0.618712i | ||||
\(106\) | 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 | \(0.197303\pi\) | |||||||
\(108\) | 5.49052 | + | 3.16995i | 0.528326 | + | 0.305029i | ||||
\(109\) | 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 | ||||
\(111\) | 2.62291 | − | 4.54300i | 0.248955 | − | 0.431203i | ||||
\(112\) | 11.2518i | 1.06320i | ||||||||
\(113\) | −6.35006 | − | 3.66621i | −0.597363 | − | 0.344888i | 0.170640 | − | 0.985333i | \(-0.445416\pi\) |
−0.768004 | + | 0.640446i | \(0.778750\pi\) | |||||||
\(114\) | 0.554726 | + | 0.960814i | 0.0519549 | + | 0.0899885i | ||||
\(115\) | 4.00358 | − | 4.49448i | 0.373336 | − | 0.419113i | ||||
\(116\) | −5.67164 | −0.526599 | ||||||||
\(117\) | −9.89771 | − | 11.6784i | −0.915044 | − | 1.07967i | ||||
\(118\) | 0.838765i | 0.0772145i | ||||||||
\(119\) | −3.26764 | − | 5.65972i | −0.299544 | − | 0.518826i | ||||
\(120\) | −5.78501 | − | 5.15315i | −0.528097 | − | 0.470416i | ||||
\(121\) | 0.232358 | − | 0.402456i | 0.0211234 | − | 0.0365869i | ||||
\(122\) | − | 2.47850i | − | 0.224393i | ||||||
\(123\) | −6.48321 | − | 3.74308i | −0.584571 | − | 0.337502i | ||||
\(124\) | −3.57417 | + | 6.19064i | −0.320970 | + | 0.555936i | ||||
\(125\) | −6.42583 | + | 9.14925i | −0.574744 | + | 0.818333i | ||||
\(126\) | −2.35526 | + | 4.07944i | −0.209824 | + | 0.363425i | ||||
\(127\) | −7.93599 | + | 4.58185i | −0.704205 | + | 0.406573i | −0.808912 | − | 0.587930i | \(-0.799943\pi\) |
0.104707 | + | 0.994503i | \(0.466610\pi\) | |||||||
\(128\) | 7.95484 | − | 4.59273i | 0.703115 | − | 0.405944i | ||||
\(129\) | −23.5185 | −2.07069 | ||||||||
\(130\) | 1.27632 | + | 2.34210i | 0.111941 | + | 0.205416i | ||||
\(131\) | 10.0000 | 0.873704 | 0.436852 | − | 0.899533i | \(-0.356093\pi\) | ||||
0.436852 | + | 0.899533i | \(0.356093\pi\) | |||||||
\(132\) | −14.3049 | + | 8.25894i | −1.24508 | + | 0.718848i | ||||
\(133\) | 3.61808 | − | 2.08890i | 0.313727 | − | 0.181130i | ||||
\(134\) | −0.664179 | + | 1.15039i | −0.0573763 | + | 0.0993787i | ||||
\(135\) | 2.35526 | + | 7.11911i | 0.202709 | + | 0.612716i | ||||
\(136\) | −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 | \(0.922406\pi\) | |||||||
\(138\) | 2.39718i | 0.204061i | ||||||||
\(139\) | −0.513452 | + | 0.889325i | −0.0435505 | + | 0.0754316i | −0.886979 | − | 0.461810i | \(-0.847200\pi\) |
0.843429 | + | 0.537241i | \(0.180534\pi\) | |||||||
\(140\) | −9.42949 | + | 10.5857i | −0.796937 | + | 0.894654i | ||||
\(141\) | −9.24581 | − | 16.0142i | −0.778638 | − | 1.34864i | ||||
\(142\) | 1.73551i | 0.145640i | ||||||||
\(143\) | 11.5150 | − | 2.08890i | 0.962933 | − | 0.174682i | ||||
\(144\) | −14.2458 | −1.18715 | ||||||||
\(145\) | −5.00908 | − | 4.46197i | −0.415981 | − | 0.370546i | ||||
\(146\) | 0.904000 | + | 1.56577i | 0.0748155 | + | 0.129584i | ||||
\(147\) | 9.89771 | + | 5.71445i | 0.816349 | + | 0.471319i | ||||
\(148\) | 3.68431i | 0.302849i | ||||||||
\(149\) | 7.92583 | − | 13.7279i | 0.649309 | − | 1.12464i | −0.333979 | − | 0.942581i | \(-0.608391\pi\) |
0.983288 | − | 0.182056i | \(-0.0582753\pi\) | |||||||
\(150\) | −0.512727 | − | 4.42312i | −0.0418640 | − | 0.361146i | ||||
\(151\) | 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 | ||||
\(153\) | 7.16573 | − | 4.13713i | 0.579315 | − | 0.334468i | ||||
\(154\) | −1.80054 | − | 3.11862i | −0.145091 | − | 0.251306i | ||||
\(155\) | −8.02690 | + | 2.65559i | −0.644736 | + | 0.213302i | ||||
\(156\) | 17.2727 | + | 6.19064i | 1.38292 | + | 0.495648i | ||||
\(157\) | 10.9210i | 0.871588i | 0.900047 | + | 0.435794i | \(0.143532\pi\) | ||||
−0.900047 | + | 0.435794i | \(0.856468\pi\) | |||||||
\(158\) | −3.94846 | + | 2.27964i | −0.314123 | + | 0.181359i | ||||
\(159\) | 17.2727 | + | 29.9172i | 1.36982 | + | 2.37259i | ||||
\(160\) | 8.06738 | + | 1.66978i | 0.637783 | + | 0.132008i | ||||
\(161\) | 9.02690 | 0.711420 | ||||||||
\(162\) | 1.06311 | + | 0.613789i | 0.0835261 | + | 0.0482238i | ||||
\(163\) | −3.61808 | − | 2.08890i | −0.283390 | − | 0.163615i | 0.351567 | − | 0.936163i | \(-0.385649\pi\) |
−0.634957 | + | 0.772547i | \(0.718982\pi\) | |||||||
\(164\) | 5.25779 | 0.410564 | ||||||||
\(165\) | −19.1312 | − | 3.95976i | −1.48936 | − | 0.308267i | ||||
\(166\) | −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 | \(0.374751\pi\) | |||||||
\(168\) | − | 11.6188i | − | 0.896413i | ||||||
\(169\) | −10.0404 | − | 8.25780i | −0.772335 | − | 0.635215i | ||||
\(170\) | −1.36872 | + | 0.452821i | −0.104976 | + | 0.0347298i | ||||
\(171\) | 2.64474 | + | 4.58082i | 0.202248 | + | 0.350304i | ||||
\(172\) | 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 | \(0.558898\pi\) | |||||||
\(174\) | 2.67164 | 0.202537 | ||||||||
\(175\) | −16.6559 | + | 1.93074i | −1.25906 | + | 0.145950i | ||||
\(176\) | 5.44527 | − | 9.43149i | 0.410453 | − | 0.710925i | ||||
\(177\) | 6.82449i | 0.512960i | ||||||||
\(178\) | 2.95577 | + | 1.70652i | 0.221545 | + | 0.127909i | ||||
\(179\) | −9.00507 | − | 15.5972i | −0.673071 | − | 1.16579i | −0.977029 | − | 0.213107i | \(-0.931642\pi\) |
0.303958 | − | 0.952685i | \(-0.401692\pi\) | |||||||
\(180\) | −13.4025 | − | 11.9386i | −0.998960 | − | 0.889850i | ||||
\(181\) | 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 | ||||
\(183\) | − | 20.1660i | − | 1.49071i | ||||||
\(184\) | −1.73236 | − | 3.00053i | −0.127711 | − | 0.221202i | ||||
\(185\) | −2.89851 | + | 3.25391i | −0.213102 | + | 0.239232i | ||||
\(186\) | 1.68362 | − | 2.91612i | 0.123449 | − | 0.213820i | ||||
\(187\) | 6.32546i | 0.462564i | ||||||||
\(188\) | 11.2473 | + | 6.49365i | 0.820296 | + | 0.473598i | ||||
\(189\) | −5.62291 | + | 9.73916i | −0.409006 | + | 0.708419i | ||||
\(190\) | −0.289474 | − | 0.874976i | −0.0210006 | − | 0.0634774i | ||||
\(191\) | −12.7593 | + | 22.0997i | −0.923228 | + | 1.59908i | −0.128841 | + | 0.991665i | \(0.541126\pi\) |
−0.794387 | + | 0.607412i | \(0.792208\pi\) | |||||||
\(192\) | 12.8019 | − | 7.39118i | 0.923898 | − | 0.533413i | ||||
\(193\) | 17.1652 | − | 9.91035i | 1.23558 | − | 0.713362i | 0.267392 | − | 0.963588i | \(-0.413838\pi\) |
0.968188 | + | 0.250225i | \(0.0805047\pi\) | |||||||
\(194\) | 1.74221 | 0.125083 | ||||||||
\(195\) | 10.3846 | + | 19.0562i | 0.743659 | + | 1.36464i | ||||
\(196\) | −8.02690 | −0.573350 | ||||||||
\(197\) | 18.7512 | − | 10.8260i | 1.33596 | − | 0.771319i | 0.349758 | − | 0.936840i | \(-0.386264\pi\) |
0.986206 | + | 0.165521i | \(0.0529304\pi\) | |||||||
\(198\) | 3.94846 | − | 2.27964i | 0.280605 | − | 0.162007i | ||||
\(199\) | 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 | ||||
\(201\) | −5.40400 | + | 9.36000i | −0.381169 | + | 0.660204i | ||||
\(202\) | −1.63614 | − | 0.944625i | −0.115118 | − | 0.0664636i | ||||
\(203\) | − | 10.0604i | − | 0.706104i | ||||||
\(204\) | −4.95873 | + | 8.58877i | −0.347180 | + | 0.601334i | ||||
\(205\) | 4.64357 | + | 4.13638i | 0.324321 | + | 0.288898i | ||||
\(206\) | 1.21891 | + | 2.11121i | 0.0849252 | + | 0.147095i | ||||
\(207\) | 11.4289i | 0.794363i | ||||||||
\(208\) | −11.9033 | + | 2.15934i | −0.825345 | + | 0.149723i | ||||
\(209\) | −4.04366 | −0.279706 | ||||||||
\(210\) | 4.44178 | − | 4.98642i | 0.306512 | − | 0.344096i | ||||
\(211\) | −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 | ||||
\(213\) | 14.1207i | 0.967534i | ||||||||
\(214\) | 1.41837 | − | 2.45669i | 0.0969577 | − | 0.167936i | ||||
\(215\) | 19.1312 | + | 3.95976i | 1.30474 | + | 0.270053i | ||||
\(216\) | 4.31638 | 0.293692 | ||||||||
\(217\) | −10.9810 | − | 6.33991i | −0.745442 | − | 0.430381i | ||||
\(218\) | 2.43296 | − | 1.40467i | 0.164781 | − | 0.0951362i | ||||
\(219\) | 7.35526 | + | 12.7397i | 0.497023 | + | 0.860868i | ||||
\(220\) | 13.0269 | − | 4.30978i | 0.878274 | − | 0.290565i | ||||
\(221\) | 5.36034 | − | 4.54300i | 0.360575 | − | 0.305596i | ||||
\(222\) | − | 1.73551i | − | 0.116480i | ||||||
\(223\) | −10.7134 | + | 6.18537i | −0.717421 | + | 0.414203i | −0.813803 | − | 0.581141i | \(-0.802606\pi\) |
0.0963818 | + | 0.995344i | \(0.469273\pi\) | |||||||
\(224\) | 6.17763 | + | 10.7000i | 0.412760 | + | 0.714922i | ||||
\(225\) | −2.44450 | − | 21.0878i | −0.162967 | − | 1.40586i | ||||
\(226\) | −2.42583 | −0.161364 | ||||||||
\(227\) | 5.33715 | + | 3.08141i | 0.354239 | + | 0.204520i | 0.666551 | − | 0.745460i | \(-0.267770\pi\) |
−0.312311 | + | 0.949980i | \(0.601103\pi\) | |||||||
\(228\) | −5.49052 | − | 3.16995i | −0.363619 | − | 0.209935i | ||||
\(229\) | 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 | ||||
\(231\) | −14.6498 | − | 25.3742i | −0.963887 | − | 1.66950i | ||||
\(232\) | −3.34408 | + | 1.93070i | −0.219549 | + | 0.126757i | ||||
\(233\) | − | 0.824319i | − | 0.0540029i | −0.999635 | − | 0.0270015i | \(-0.991404\pi\) | ||
0.999635 | − | 0.0270015i | \(-0.00859588\pi\) | |||||||
\(234\) | −4.76764 | − | 1.70875i | −0.311671 | − | 0.111705i | ||||
\(235\) | 4.82476 | + | 14.5835i | 0.314733 | + | 0.951323i | ||||
\(236\) | −2.39654 | − | 4.15092i | −0.156001 | − | 0.270202i | ||||
\(237\) | −32.1261 | + | 18.5480i | −2.08681 | + | 1.20482i | ||||
\(238\) | −1.87244 | − | 1.08106i | −0.121372 | − | 0.0700744i | ||||
\(239\) | −4.00000 | −0.258738 | −0.129369 | − | 0.991596i | \(-0.541295\pi\) | ||||
−0.129369 | + | 0.991596i | \(0.541295\pi\) | |||||||
\(240\) | 19.7764 | + | 4.09329i | 1.27656 | + | 0.264221i | ||||
\(241\) | −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 | ||||||
\(243\) | 17.3625 | + | 10.0242i | 1.11380 | + | 0.643054i | ||||
\(244\) | 7.08163 | + | 12.2657i | 0.453355 | + | 0.785234i | ||||
\(245\) | −7.08920 | − | 6.31489i | −0.452912 | − | 0.403443i | ||||
\(246\) | −2.47670 | −0.157908 | ||||||||
\(247\) | 2.90420 | + | 3.42669i | 0.184790 | + | 0.218035i | ||||
\(248\) | 4.86678i | 0.309041i | ||||||||
\(249\) | −11.6011 | − | 20.0936i | −0.735188 | − | 1.27338i | ||||
\(250\) | −0.327631 | + | 3.68433i | −0.0207212 | + | 0.233017i | ||||
\(251\) | −9.51345 | + | 16.4778i | −0.600484 | + | 1.04007i | 0.392264 | + | 0.919853i | \(0.371692\pi\) |
−0.992748 | + | 0.120216i | \(0.961641\pi\) | |||||||
\(252\) | − | 26.9180i | − | 1.69568i | ||||||
\(253\) | −7.56654 | − | 4.36854i | −0.475704 | − | 0.274648i | ||||
\(254\) | −1.51584 | + | 2.62552i | −0.0951124 | + | 0.164739i | ||||
\(255\) | −11.1364 | + | 3.68431i | −0.697386 | + | 0.230721i | ||||
\(256\) | −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 | \(0.354311\pi\) | |||||||
\(258\) | −6.73836 | + | 3.89039i | −0.419512 | + | 0.242205i | ||||
\(259\) | −6.53528 | −0.406083 | ||||||||
\(260\) | −13.0082 | − | 7.94397i | −0.806737 | − | 0.492664i | ||||
\(261\) | 12.7374 | 0.788427 | ||||||||
\(262\) | 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 | \(0.959566\pi\) | |||||||
\(264\) | −5.62291 | + | 9.73916i | −0.346066 | + | 0.599404i | ||||
\(265\) | −9.01345 | − | 27.2444i | −0.553692 | − | 1.67361i | ||||
\(266\) | 0.691084 | − | 1.19699i | 0.0423731 | − | 0.0733923i | ||||
\(267\) | 24.0492 | + | 13.8848i | 1.47179 | + | 0.849738i | ||||
\(268\) | − | 7.59083i | − | 0.463684i | ||||||
\(269\) | 9.29455 | − | 16.0986i | 0.566699 | − | 0.981551i | −0.430191 | − | 0.902738i | \(-0.641554\pi\) |
0.996889 | − | 0.0788127i | \(-0.0251129\pi\) | |||||||
\(270\) | 1.85244 | + | 1.65011i | 0.112736 | + | 0.100423i | ||||
\(271\) | −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 | ||||||
\(273\) | −10.9810 | + | 30.6386i | −0.664603 | + | 1.85433i | ||||
\(274\) | −5.57417 | −0.336748 | ||||||||
\(275\) | 14.8957 | + | 6.44216i | 0.898242 | + | 0.388477i | ||||
\(276\) | −6.84927 | − | 11.8633i | −0.412278 | − | 0.714086i | ||||
\(277\) | 11.7263 | + | 6.77017i | 0.704564 | + | 0.406780i | 0.809045 | − | 0.587747i | \(-0.199985\pi\) |
−0.104481 | + | 0.994527i | \(0.533318\pi\) | |||||||
\(278\) | 0.339738i | 0.0203761i | ||||||||
\(279\) | 8.02690 | − | 13.9030i | 0.480558 | − | 0.832351i | ||||
\(280\) | −1.95624 | + | 9.45139i | −0.116908 | + | 0.564829i | ||||
\(281\) | −0.464716 | −0.0277226 | −0.0138613 | − | 0.999904i | \(-0.504412\pi\) | ||||
−0.0138613 | + | 0.999904i | \(0.504412\pi\) | |||||||
\(282\) | −5.29809 | − | 3.05885i | −0.315496 | − | 0.182152i | ||||
\(283\) | 8.71259 | − | 5.03022i | 0.517910 | − | 0.299015i | −0.218169 | − | 0.975911i | \(-0.570009\pi\) |
0.736079 | + | 0.676896i | \(0.236675\pi\) | |||||||
\(284\) | −4.95873 | − | 8.58877i | −0.294246 | − | 0.509649i | ||||
\(285\) | −2.35526 | − | 7.11911i | −0.139514 | − | 0.421700i | ||||
\(286\) | 2.95365 | − | 2.50329i | 0.174653 | − | 0.148022i | ||||
\(287\) | 9.32634i | 0.550516i | ||||||||
\(288\) | −13.5471 | + | 7.82145i | −0.798273 | + | 0.460883i | ||||
\(289\) | −6.60107 | − | 11.4334i | −0.388298 | − | 0.672553i | ||||
\(290\) | −2.17326 | − | 0.449818i | −0.127618 | − | 0.0264142i | ||||
\(291\) | 14.1752 | 0.830967 | ||||||||
\(292\) | −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 | \(0.795189\pi\) | |||||||
\(294\) | 3.78109 | 0.220518 | ||||||||
\(295\) | 1.14902 | − | 5.55140i | 0.0668987 | − | 0.323215i | ||||
\(296\) | 1.25419 | + | 2.17232i | 0.0728983 | + | 0.126264i | ||||
\(297\) | 9.42647 | − | 5.44238i | 0.546979 | − | 0.315799i | ||||
\(298\) | − | 5.24431i | − | 0.303795i | ||||||
\(299\) | 1.73236 | + | 9.54958i | 0.100185 | + | 0.552266i | ||||
\(300\) | 15.1752 | + | 20.4244i | 0.876143 | + | 1.17920i | ||||
\(301\) | 14.6498 | + | 25.3742i | 0.844401 | + | 1.46255i | ||||
\(302\) | 4.16745 | − | 2.40608i | 0.239810 | − | 0.138454i | ||||
\(303\) | −13.3122 | − | 7.68581i | −0.764767 | − | 0.441538i | ||||
\(304\) | 4.18002 | 0.239741 | ||||||||
\(305\) | −3.39530 | + | 16.4041i | −0.194414 | + | 0.939295i | ||||
\(306\) | 1.36872 | − | 2.37068i | 0.0782442 | − | 0.135523i | ||||
\(307\) | − | 24.6077i | − | 1.40444i | −0.711961 | − | 0.702219i | \(-0.752193\pi\) | ||
0.711961 | − | 0.702219i | \(-0.247807\pi\) | |||||||
\(308\) | 17.8212 | + | 10.2891i | 1.01546 | + | 0.586274i | ||||
\(309\) | 9.91745 | + | 17.1775i | 0.564184 | + | 0.977196i | ||||
\(310\) | −1.86053 | + | 2.08866i | −0.105671 | + | 0.118628i | ||||
\(311\) | 2.43781 | 0.138236 | 0.0691178 | − | 0.997609i | \(-0.477982\pi\) | ||||
0.0691178 | + | 0.997609i | \(0.477982\pi\) | |||||||
\(312\) | 12.2916 | − | 2.22978i | 0.695875 | − | 0.126236i | ||||
\(313\) | − | 19.2965i | − | 1.09071i | −0.838207 | − | 0.545353i | \(-0.816396\pi\) | ||
0.838207 | − | 0.545353i | \(-0.183604\pi\) | |||||||
\(314\) | 1.80653 | + | 3.12900i | 0.101948 | + | 0.176579i | ||||
\(315\) | 21.1768 | − | 23.7735i | 1.19318 | − | 1.33948i | ||||
\(316\) | 13.0269 | − | 22.5633i | 0.732821 | − | 1.26928i | ||||
\(317\) | 28.8217i | 1.61879i | 0.587265 | + | 0.809395i | \(0.300205\pi\) | ||||
−0.587265 | + | 0.809395i | \(0.699795\pi\) | |||||||
\(318\) | 9.89771 | + | 5.71445i | 0.555036 | + | 0.320450i | ||||
\(319\) | −4.86872 | + | 8.43286i | −0.272596 | + | 0.472150i | ||||
\(320\) | −11.6582 | + | 3.85695i | −0.651713 | + | 0.215610i | ||||
\(321\) | 11.5404 | − | 19.9885i | 0.644120 | − | 1.11565i | ||||
\(322\) | 2.58632 | − | 1.49321i | 0.144130 | − | 0.0832136i | ||||
\(323\) | −2.10258 | + | 1.21392i | −0.116990 | + | 0.0675445i | ||||
\(324\) | −7.01492 | −0.389718 | ||||||||
\(325\) | −5.23897 | − | 17.2497i | −0.290606 | − | 0.956843i | ||||
\(326\) | −1.38217 | −0.0765512 | ||||||||
\(327\) | 19.7954 | − | 11.4289i | 1.09469 | − | 0.632019i | ||||
\(328\) | 3.10006 | − | 1.78982i | 0.171172 | − | 0.0988264i | ||||
\(329\) | −11.5185 | + | 19.9507i | −0.635037 | + | 1.09992i | ||||
\(330\) | −6.13636 | + | 2.03013i | −0.337795 | + | 0.111755i | ||||
\(331\) | 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 | ||||
\(333\) | − | 8.27427i | − | 0.453427i | ||||||
\(334\) | −0.554726 | + | 0.960814i | −0.0303533 | + | 0.0525734i | ||||
\(335\) | 5.97182 | − | 6.70407i | 0.326276 | − | 0.366282i | ||||
\(336\) | 15.1438 | + | 26.2299i | 0.826163 | + | 1.43096i | ||||
\(337\) | − | 1.90370i | − | 0.103701i | −0.998655 | − | 0.0518505i | \(-0.983488\pi\) | ||
0.998655 | − | 0.0518505i | \(-0.0165119\pi\) | |||||||
\(338\) | −4.24268 | − | 0.705107i | −0.230771 | − | 0.0383528i | ||||
\(339\) | −19.7374 | −1.07199 | ||||||||
\(340\) | 5.47976 | − | 6.15167i | 0.297182 | − | 0.333621i | ||||
\(341\) | 6.13636 | + | 10.6285i | 0.332302 | + | 0.575565i | ||||
\(342\) | 1.51550 | + | 0.874976i | 0.0819490 | + | 0.0473133i | ||||
\(343\) | 9.23611i | 0.498703i | ||||||||
\(344\) | 5.62291 | − | 9.73916i | 0.303167 | − | 0.525100i | ||||
\(345\) | 3.28390 | − | 15.8658i | 0.176799 | − | 0.854188i | ||||
\(346\) | 2.89055 | 0.155397 | ||||||||
\(347\) | −10.9420 | − | 6.31735i | −0.587396 | − | 0.339133i | 0.176671 | − | 0.984270i | \(-0.443467\pi\) |
−0.764067 | + | 0.645137i | \(0.776800\pi\) | |||||||
\(348\) | −13.2216 | + | 7.63347i | −0.708750 | + | 0.409197i | ||||
\(349\) | 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 | ||||
\(351\) | −11.3822 | − | 4.07944i | −0.607535 | − | 0.217744i | ||||
\(352\) | − | 11.9586i | − | 0.637395i | ||||||
\(353\) | −29.6618 | + | 17.1252i | −1.57874 | + | 0.911484i | −0.583701 | + | 0.811969i | \(0.698396\pi\) |
−0.995036 | + | 0.0995150i | \(0.968271\pi\) | |||||||
\(354\) | 1.12890 | + | 1.95530i | 0.0600001 | + | 0.103923i | ||||
\(355\) | 2.37747 | − | 11.4865i | 0.126183 | − | 0.609641i | ||||
\(356\) | −19.5036 | −1.03369 | ||||||||
\(357\) | −15.2349 | − | 8.79585i | −0.806315 | − | 0.465526i | ||||
\(358\) | −5.16014 | − | 2.97921i | −0.272722 | − | 0.157456i | ||||
\(359\) | −22.4043 | −1.18245 | −0.591227 | − | 0.806505i | \(-0.701356\pi\) | ||||
−0.591227 | + | 0.806505i | \(0.701356\pi\) | |||||||
\(360\) | −11.9663 | − | 2.47678i | −0.630681 | − | 0.130538i | ||||
\(361\) | 8.72398 | + | 15.1104i | 0.459157 | + | 0.795283i | ||||
\(362\) | 0.299023 | − | 0.172641i | 0.0157163 | − | 0.00907381i | ||||
\(363\) | − | 1.25092i | − | 0.0656565i | ||||||
\(364\) | −4.08016 | − | 22.4918i | −0.213858 | − | 1.17889i | ||||
\(365\) | −3.83821 | − | 11.6015i | −0.200901 | − | 0.607252i | ||||
\(366\) | −3.33582 | − | 5.77781i | −0.174366 | − | 0.302011i | ||||
\(367\) | 11.4273 | − | 6.59753i | 0.596498 | − | 0.344388i | −0.171165 | − | 0.985242i | \(-0.554753\pi\) |
0.767663 | + | 0.640854i | \(0.221420\pi\) | |||||||
\(368\) | 7.82169 | + | 4.51586i | 0.407734 | + | 0.235405i | ||||
\(369\) | −11.8080 | −0.614700 | ||||||||
\(370\) | −0.292203 | + | 1.41175i | −0.0151909 | + | 0.0733935i | ||||
\(371\) | 21.5185 | − | 37.2712i | 1.11719 | − | 1.93502i | ||||
\(372\) | 19.2419i | 0.997647i | ||||||||
\(373\) | 13.2168 | + | 7.63070i | 0.684338 | + | 0.395103i | 0.801488 | − | 0.598012i | \(-0.204042\pi\) |
−0.117149 | + | 0.993114i | \(0.537376\pi\) | |||||||
\(374\) | 1.04635 | + | 1.81233i | 0.0541053 | + | 0.0937131i | ||||
\(375\) | −2.66572 | + | 29.9770i | −0.137657 | + | 1.54801i | ||||
\(376\) | 8.84210 | 0.455997 | ||||||||
\(377\) | 10.6430 | − | 1.93070i | 0.548140 | − | 0.0994362i | ||||
\(378\) | 3.72052i | 0.191363i | ||||||||
\(379\) | 9.11453 | + | 15.7868i | 0.468182 | + | 0.810915i | 0.999339 | − | 0.0363588i | \(-0.0115759\pi\) |
−0.531157 | + | 0.847273i | \(0.678243\pi\) | |||||||
\(380\) | 3.93256 | + | 3.50304i | 0.201736 | + | 0.179702i | ||||
\(381\) | −12.3334 | + | 21.3621i | −0.631861 | + | 1.09442i | ||||
\(382\) | 8.44246i | 0.431954i | ||||||||
\(383\) | −1.24784 | − | 0.720440i | −0.0637616 | − | 0.0368128i | 0.467780 | − | 0.883845i | \(-0.345054\pi\) |
−0.531542 | + | 0.847032i | \(0.678387\pi\) | |||||||
\(384\) | 12.3627 | − | 21.4129i | 0.630883 | − | 1.09272i | ||||
\(385\) | 7.64474 | + | 23.1073i | 0.389612 | + | 1.17766i | ||||
\(386\) | 3.27870 | − | 5.67888i | 0.166882 | − | 0.289048i | ||||
\(387\) | −32.1261 | + | 18.5480i | −1.63306 | + | 0.942848i | ||||
\(388\) | −8.62194 | + | 4.97788i | −0.437713 | + | 0.252714i | ||||
\(389\) | 18.7912 | 0.952754 | 0.476377 | − | 0.879241i | \(-0.341950\pi\) | ||||
0.476377 | + | 0.879241i | \(0.341950\pi\) | |||||||
\(390\) | 6.12757 | + | 3.74203i | 0.310281 | + | 0.189485i | ||||
\(391\) | −5.24581 | −0.265292 | ||||||||
\(392\) | −4.73277 | + | 2.73247i | −0.239041 | + | 0.138010i | ||||
\(393\) | 23.3117 | − | 13.4590i | 1.17592 | − | 0.678918i | ||||
\(394\) | 3.58163 | − | 6.20357i | 0.180440 | − | 0.312531i | ||||
\(395\) | 29.2560 | − | 9.67894i | 1.47203 | − | 0.487000i | ||||
\(396\) | −13.0269 | + | 22.5633i | −0.654627 | + | 1.13385i | ||||
\(397\) | −14.8027 | − | 8.54634i | −0.742926 | − | 0.428928i | 0.0802063 | − | 0.996778i | \(-0.474442\pi\) |
−0.823132 | + | 0.567850i | \(0.807775\pi\) | |||||||
\(398\) | − | 6.03084i | − | 0.302298i | ||||||
\(399\) | 5.62291 | − | 9.73916i | 0.281497 | − | 0.487568i | ||||
\(400\) | −15.3980 | − | 6.65940i | −0.769898 | − | 0.332970i | ||||
\(401\) | −11.1011 | − | 19.2276i | −0.554361 | − | 0.960182i | −0.997953 | − | 0.0639527i | \(-0.979629\pi\) |
0.443592 | − | 0.896229i | \(-0.353704\pi\) | |||||||
\(402\) | 3.57568i | 0.178339i | ||||||||
\(403\) | 4.59962 | − | 12.8336i | 0.229124 | − | 0.639285i | ||||
\(404\) | 10.7960 | 0.537122 | ||||||||
\(405\) | −6.19544 | − | 5.51875i | −0.307854 | − | 0.274229i | ||||
\(406\) | −1.66418 | − | 2.88244i | −0.0825918 | − | 0.143053i | ||||
\(407\) | 5.47801 | + | 3.16273i | 0.271535 | + | 0.156771i | ||||
\(408\) | 6.75207i | 0.334277i | ||||||||
\(409\) | −4.81638 | + | 8.34221i | −0.238155 | + | 0.412496i | −0.960185 | − | 0.279366i | \(-0.909876\pi\) |
0.722030 | + | 0.691862i | \(0.243209\pi\) | |||||||
\(410\) | 2.01468 | + | 0.416996i | 0.0994978 | + | 0.0205939i | ||||
\(411\) | −45.3534 | −2.23712 | ||||||||
\(412\) | −12.0644 | − | 6.96537i | −0.594369 | − | 0.343159i | ||||
\(413\) | 7.36296 | − | 4.25101i | 0.362308 | − | 0.209178i | ||||
\(414\) | 1.89055 | + | 3.27452i | 0.0929153 | + | 0.160934i | ||||
\(415\) | 6.05381 | + | 18.2985i | 0.297170 | + | 0.898238i | ||||
\(416\) | −10.1340 | + | 8.58877i | −0.496859 | + | 0.421099i | ||||
\(417\) | 2.76423i | 0.135365i | ||||||||
\(418\) | −1.15856 | + | 0.668896i | −0.0566671 | + | 0.0327168i | ||||
\(419\) | −0.978168 | − | 1.69424i | −0.0477866 | − | 0.0827689i | 0.841143 | − | 0.540813i | \(-0.181883\pi\) |
−0.888929 | + | 0.458044i | \(0.848550\pi\) | |||||||
\(420\) | −7.73444 | + | 37.3682i | −0.377402 | + | 1.82338i | ||||
\(421\) | −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 | ||||
\(423\) | −25.2594 | − | 14.5835i | −1.22815 | − | 0.709075i | ||||
\(424\) | −16.5185 | −0.802210 | ||||||||
\(425\) | 9.67923 | − | 1.12201i | 0.469511 | − | 0.0544257i | ||||
\(426\) | 2.33582 | + | 4.04576i | 0.113171 | + | 0.196018i | ||||
\(427\) | −21.7571 | + | 12.5615i | −1.05290 | + | 0.607893i | ||||
\(428\) | 16.2104i | 0.783558i | ||||||||
\(429\) | 24.0320 | − | 20.3676i | 1.16027 | − | 0.983359i | ||||
\(430\) | 6.13636 | − | 2.03013i | 0.295921 | − | 0.0979016i | ||||
\(431\) | −12.2945 | − | 21.2948i | −0.592207 | − | 1.02573i | −0.993934 | − | 0.109974i | \(-0.964923\pi\) |
0.401727 | − | 0.915759i | \(-0.368410\pi\) | |||||||
\(432\) | −9.74434 | + | 5.62590i | −0.468825 | + | 0.270676i | ||||
\(433\) | 31.2400 | + | 18.0364i | 1.50130 | + | 0.866775i | 0.999999 | + | 0.00150085i | \(0.000477735\pi\) |
0.501299 | + | 0.865274i | \(0.332856\pi\) | |||||||
\(434\) | −4.19495 | −0.201364 | ||||||||
\(435\) | −17.6824 | − | 3.65988i | −0.847805 | − | 0.175478i | ||||
\(436\) | −8.02690 | + | 13.9030i | −0.384419 | + | 0.665833i | ||||
\(437\) | − | 3.35348i | − | 0.160419i | ||||||
\(438\) | 4.21475 | + | 2.43339i | 0.201389 | + | 0.116272i | ||||
\(439\) | 1.26764 | + | 2.19562i | 0.0605013 | + | 0.104791i | 0.894690 | − | 0.446688i | \(-0.147397\pi\) |
−0.834188 | + | 0.551480i | \(0.814063\pi\) | |||||||
\(440\) | 6.21373 | − | 6.97563i | 0.296228 | − | 0.332550i | ||||
\(441\) | 18.0269 | 0.858424 | ||||||||
\(442\) | 0.784309 | − | 2.18833i | 0.0373058 | − | 0.104088i | ||||
\(443\) | − | 19.3579i | − | 0.919721i | −0.887991 | − | 0.459860i | \(-0.847899\pi\) | ||
0.887991 | − | 0.459860i | \(-0.152101\pi\) | |||||||
\(444\) | 4.95873 | + | 8.58877i | 0.235331 | + | 0.407605i | ||||
\(445\) | −17.2252 | − | 15.3438i | −0.816552 | − | 0.727365i | ||||
\(446\) | −2.04635 | + | 3.54438i | −0.0968973 | + | 0.167831i | ||||
\(447\) | − | 42.6696i | − | 2.01820i | ||||||
\(448\) | −15.9487 | − | 9.20801i | −0.753507 | − | 0.435038i | ||||
\(449\) | −12.4040 | + | 21.4844i | −0.585381 | + | 1.01391i | 0.409447 | + | 0.912334i | \(0.365722\pi\) |
−0.994828 | + | 0.101576i | \(0.967612\pi\) | |||||||
\(450\) | −4.18869 | − | 5.63757i | −0.197457 | − | 0.265758i | ||||
\(451\) | 4.51345 | − | 7.81753i | 0.212530 | − | 0.368113i | ||||
\(452\) | 12.0051 | − | 6.93114i | 0.564672 | − | 0.326013i | ||||
\(453\) | 33.9079 | − | 19.5767i | 1.59313 | − | 0.919795i | ||||
\(454\) | 2.03888 | 0.0956896 | ||||||||
\(455\) | 14.0911 | − | 23.0742i | 0.660601 | − | 1.08173i | ||||
\(456\) | −4.31638 | −0.202133 | ||||||||
\(457\) | −6.55363 | + | 3.78374i | −0.306566 | + | 0.176996i | −0.645389 | − | 0.763854i | \(-0.723305\pi\) |
0.338823 | + | 0.940850i | \(0.389971\pi\) | |||||||
\(458\) | 7.73105 | − | 4.46352i | 0.361248 | − | 0.208567i | ||||
\(459\) | 3.26764 | − | 5.65972i | 0.152520 | − | 0.264173i | ||||
\(460\) | 3.57417 | + | 10.8034i | 0.166646 | + | 0.503712i | ||||
\(461\) | 6.17164 | − | 10.6896i | 0.287442 | − | 0.497864i | −0.685756 | − | 0.727831i | \(-0.740528\pi\) |
0.973198 | + | 0.229967i | \(0.0738618\pi\) | |||||||
\(462\) | −8.39472 | − | 4.84669i | −0.390558 | − | 0.225489i | ||||
\(463\) | 22.8578i | 1.06229i | 0.847281 | + | 0.531146i | \(0.178238\pi\) | ||||
−0.847281 | + | 0.531146i | \(0.821762\pi\) | |||||||
\(464\) | 5.03289 | − | 8.71723i | 0.233646 | − | 0.404687i | ||||
\(465\) | −15.1379 | + | 16.9941i | −0.702004 | + | 0.788081i | ||||
\(466\) | −0.136357 | − | 0.236178i | −0.00631664 | − | 0.0109407i | ||||
\(467\) | 15.2976i | 0.707889i | 0.935266 | + | 0.353945i | \(0.115160\pi\) | ||||
−0.935266 | + | 0.353945i | \(0.884840\pi\) | |||||||
\(468\) | 28.4766 | − | 5.16586i | 1.31633 | − | 0.238792i | ||||
\(469\) | 13.4647 | 0.621743 | ||||||||
\(470\) | 3.79473 | + | 3.38026i | 0.175038 | + | 0.155920i | ||||
\(471\) | 14.6985 | + | 25.4586i | 0.677273 | + | 1.17307i | ||||
\(472\) | −2.82606 | − | 1.63163i | −0.130080 | − | 0.0751017i | ||||
\(473\) | − | 28.3589i | − | 1.30394i | ||||||
\(474\) | −6.13636 | + | 10.6285i | −0.281852 | + | 0.488182i | ||||
\(475\) | 0.717267 | + | 6.18762i | 0.0329105 | + | 0.283907i | ||||
\(476\) | 12.3553 | 0.566303 | ||||||||
\(477\) | 47.1887 | + | 27.2444i | 2.16062 | + | 1.24744i | ||||
\(478\) | −1.14605 | + | 0.661673i | −0.0524192 | + | 0.0302642i | ||||
\(479\) | 12.1414 | + | 21.0296i | 0.554756 | + | 0.960866i | 0.997922 | + | 0.0644264i | \(0.0205218\pi\) |
−0.443166 | + | 0.896439i | \(0.646145\pi\) | |||||||
\(480\) | 21.0538 | − | 6.96537i | 0.960971 | − | 0.317924i | ||||
\(481\) | −1.25419 | − | 6.91369i | −0.0571861 | − | 0.315237i | ||||
\(482\) | 7.50793i | 0.341977i | ||||||||
\(483\) | 21.0433 | − | 12.1493i | 0.957501 | − | 0.552814i | ||||
\(484\) | 0.439284 | + | 0.760862i | 0.0199674 | + | 0.0345846i | ||||
\(485\) | −11.5309 | − | 2.38665i | −0.523591 | − | 0.108372i | ||||
\(486\) | 6.63276 | 0.300868 | ||||||||
\(487\) | 31.9462 | + | 18.4441i | 1.44762 | + | 0.835783i | 0.998339 | − | 0.0576081i | \(-0.0183474\pi\) |
0.449280 | + | 0.893391i | \(0.351681\pi\) | |||||||
\(488\) | 8.35085 | + | 4.82136i | 0.378025 | + | 0.218253i | ||||
\(489\) | −11.2458 | −0.508553 | ||||||||
\(490\) | −3.07574 | − | 0.636614i | −0.138948 | − | 0.0287593i | ||||
\(491\) | 17.6767 | + | 30.6170i | 0.797739 | + | 1.38172i | 0.921085 | + | 0.389361i | \(0.127304\pi\) |
−0.123346 | + | 0.992364i | \(0.539363\pi\) | |||||||
\(492\) | 12.2568 | − | 7.07647i | 0.552580 | − | 0.319032i | ||||
\(493\) | 5.84642i | 0.263310i | ||||||||
\(494\) | 1.39893 | + | 0.501383i | 0.0629407 | + | 0.0225583i | ||||
\(495\) | −29.2560 | + | 9.67894i | −1.31496 | + | 0.435036i | ||||
\(496\) | −6.34328 | − | 10.9869i | −0.284822 | − | 0.493326i | ||||
\(497\) | 15.2349 | − | 8.79585i | 0.683377 | − | 0.394548i | ||||
\(498\) | −6.64771 | − | 3.83806i | −0.297891 | − | 0.171988i | ||||
\(499\) | −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 | ||||
\(501\) | −4.51345 | + | 7.81753i | −0.201646 | + | 0.349261i | ||||
\(502\) | 6.29480i | 0.280950i | ||||||||
\(503\) | −17.5270 | − | 10.1192i | −0.781489 | − | 0.451193i | 0.0554688 | − | 0.998460i | \(-0.482335\pi\) |
−0.836958 | + | 0.547268i | \(0.815668\pi\) | |||||||
\(504\) | −9.16326 | − | 15.8712i | −0.408164 | − | 0.706961i | ||||
\(505\) | 9.53482 | + | 8.49339i | 0.424294 | + | 0.377951i | ||||
\(506\) | −2.89055 | −0.128500 | ||||||||
\(507\) | −34.5200 | − | 5.73700i | −1.53309 | − | 0.254789i | ||||
\(508\) | − | 17.3244i | − | 0.768646i | ||||||
\(509\) | −10.0185 | − | 17.3526i | −0.444063 | − | 0.769140i | 0.553923 | − | 0.832568i | \(-0.313130\pi\) |
−0.997986 | + | 0.0634276i | \(0.979797\pi\) | |||||||
\(510\) | −2.58126 | + | 2.89776i | −0.114300 | + | 0.128315i | ||||
\(511\) | 9.16326 | − | 15.8712i | 0.405359 | − | 0.702102i | ||||
\(512\) | 20.9992i | 0.928042i | ||||||||
\(513\) | 3.61808 | + | 2.08890i | 0.159742 | + | 0.0922271i | ||||
\(514\) | −0.349273 | + | 0.604959i | −0.0154058 | + | 0.0266836i | ||||
\(515\) | −5.17524 | − | 15.6429i | −0.228048 | − | 0.689308i | ||||
\(516\) | 22.2314 | − | 38.5060i | 0.978685 | − | 1.69513i | ||||
\(517\) | 19.3101 | − | 11.1487i | 0.849259 | − | 0.490320i | ||||
\(518\) | −1.87244 | + | 1.08106i | −0.0822704 | + | 0.0474988i | ||||
\(519\) | 23.5185 | 1.03235 | ||||||||
\(520\) | −10.3741 | − | 0.255688i | −0.454933 | − | 0.0112127i | ||||
\(521\) | 16.0269 | 0.702151 | 0.351076 | − | 0.936347i | \(-0.385816\pi\) | ||||
0.351076 | + | 0.936347i | \(0.385816\pi\) | |||||||
\(522\) | 3.64944 | − | 2.10700i | 0.159732 | − | 0.0922210i | ||||
\(523\) | −10.1654 | + | 5.86898i | −0.444501 | + | 0.256633i | −0.705505 | − | 0.708705i | \(-0.749280\pi\) |
0.261004 | + | 0.965338i | \(0.415946\pi\) | |||||||
\(524\) | −9.45274 | + | 16.3726i | −0.412945 | + | 0.715241i | ||||
\(525\) | −36.2291 | + | 26.9180i | −1.58117 | + | 1.17480i | ||||
\(526\) | −4.94887 | + | 8.57170i | −0.215781 | + | 0.373744i | ||||
\(527\) | 6.38142 | + | 3.68431i | 0.277979 | + | 0.160491i | ||||
\(528\) | − | 29.3152i | − | 1.27578i | ||||||
\(529\) | −7.87709 | + | 13.6435i | −0.342482 | + | 0.593197i | ||||
\(530\) | −7.08920 | − | 6.31489i | −0.307935 | − | 0.274301i | ||||
\(531\) | 5.38217 | + | 9.32219i | 0.233566 | + | 0.404548i | ||||
\(532\) | 7.89832i | 0.342436i | ||||||||
\(533\) | −9.86635 | + | 1.78982i | −0.427359 | + | 0.0775258i | ||||
\(534\) | 9.18722 | 0.397570 | ||||||||
\(535\) | −12.7530 | + | 14.3167i | −0.551358 | + | 0.618964i | ||||
\(536\) | −2.58402 | − | 4.47565i | −0.111613 | − | 0.193319i | ||||
\(537\) | −41.9847 | − | 24.2399i | −1.81177 | − | 1.04603i | ||||
\(538\) | − | 6.14995i | − | 0.265143i | ||||||
\(539\) | −6.89055 | + | 11.9348i | −0.296797 | + | 0.514067i | ||||
\(540\) | −13.8822 | − | 2.87333i | −0.597396 | − | 0.123648i | ||||
\(541\) | −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 | ||||
\(543\) | 2.43296 | − | 1.40467i | 0.104408 | − | 0.0602801i | ||||
\(544\) | −3.59001 | − | 6.21808i | −0.153920 | − | 0.266598i | ||||
\(545\) | −18.0269 | + | 5.96396i | −0.772188 | + | 0.255468i | ||||
\(546\) | 1.92197 | + | 10.5948i | 0.0822527 | + | 0.453416i | ||||
\(547\) | 6.30924i | 0.269764i | 0.990862 | + | 0.134882i | \(0.0430655\pi\) | ||||
−0.990862 | + | 0.134882i | \(0.956935\pi\) | |||||||
\(548\) | 27.5858 | − | 15.9266i | 1.17840 | − | 0.680352i | ||||
\(549\) | −15.9040 | − | 27.5465i | −0.678766 | − | 1.17566i | ||||
\(550\) | 5.33345 | − | 0.618252i | 0.227419 | − | 0.0263624i | ||||
\(551\) | −3.73743 | −0.159220 | ||||||||
\(552\) | −8.07684 | − | 4.66317i | −0.343773 | − | 0.198478i | ||||
\(553\) | 40.0230 | + | 23.1073i | 1.70195 | + | 0.982622i | ||||
\(554\) | 4.47964 | 0.190322 | ||||||||
\(555\) | −2.37747 | + | 11.4865i | −0.100918 | + | 0.487576i | ||||
\(556\) | −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 | \(0.607766\pi\) | |||||||
\(558\) | − | 5.31119i | − | 0.224840i | ||||||
\(559\) | −24.0320 | + | 20.3676i | −1.01644 | + | 0.861459i | ||||
\(560\) | −7.90253 | − | 23.8865i | −0.333943 | − | 1.00939i | ||||
\(561\) | 8.51345 | + | 14.7457i | 0.359438 | + | 0.622565i | ||||
\(562\) | −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 | \(0.700281\pi\) | |||||||
\(564\) | 34.9593 | 1.47205 | ||||||||
\(565\) | 16.0555 | + | 3.32315i | 0.675459 | + | 0.139806i | ||||
\(566\) | 1.66418 | − | 2.88244i | 0.0699507 | − | 0.121158i | ||||
\(567\) | − | 12.4432i | − | 0.522564i | ||||||
\(568\) | −5.84746 | − | 3.37603i | −0.245354 | − | 0.141655i | ||||
\(569\) | −6.58402 | − | 11.4039i | −0.276017 | − | 0.478075i | 0.694375 | − | 0.719614i | \(-0.255681\pi\) |
−0.970391 | + | 0.241539i | \(0.922348\pi\) | |||||||
\(570\) | −1.85244 | − | 1.65011i | −0.0775904 | − | 0.0691157i | ||||
\(571\) | 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 | ||||
\(573\) | 68.6909i | 2.86960i | ||||||||
\(574\) | 1.54275 | + | 2.67212i | 0.0643930 | + | 0.111532i | ||||
\(575\) | −5.34259 | + | 12.3532i | −0.222801 | + | 0.515165i | ||||
\(576\) | 11.6582 | − | 20.1926i | 0.485758 | − | 0.841357i | ||||
\(577\) | − | 10.9210i | − | 0.454646i | −0.973819 | − | 0.227323i | \(-0.927003\pi\) | ||
0.973819 | − | 0.227323i | \(-0.0729972\pi\) | |||||||
\(578\) | −3.78258 | − | 2.18388i | −0.157335 | − | 0.0908373i | ||||
\(579\) | 26.6767 | − | 46.2054i | 1.10865 | − | 1.92023i | ||||
\(580\) | 12.0404 | − | 3.98339i | 0.499949 | − | 0.165401i | ||||
\(581\) | −14.4527 | + | 25.0329i | −0.599601 | + | 1.03854i | ||||
\(582\) | 4.06139 | − | 2.34484i | 0.168350 | − | 0.0971969i | ||||
\(583\) | −36.0745 | + | 20.8276i | −1.49406 | + | 0.862593i | ||||
\(584\) | −7.03411 | −0.291073 | ||||||||
\(585\) | 29.2140 | + | 17.8406i | 1.20785 | + | 0.737620i | ||||
\(586\) | −4.44979 | −0.183819 | ||||||||
\(587\) | −35.0303 | + | 20.2247i | −1.44585 | + | 0.834764i | −0.998231 | − | 0.0594576i | \(-0.981063\pi\) |
−0.447624 | + | 0.894222i | \(0.647730\pi\) | |||||||
\(588\) | −18.7121 | + | 10.8034i | −0.771673 | + | 0.445526i | ||||
\(589\) | −2.35526 | + | 4.07944i | −0.0970469 | + | 0.168090i | ||||
\(590\) | −0.589093 | − | 1.78062i | −0.0242526 | − | 0.0733069i | ||||
\(591\) | 29.1414 | − | 50.4744i | 1.19872 | − | 2.07624i | ||||
\(592\) | −5.66274 | − | 3.26938i | −0.232737 | − | 0.134371i | ||||
\(593\) | 1.47709i | 0.0606569i | 0.999540 | + | 0.0303284i | \(0.00965532\pi\) | ||||
−0.999540 | + | 0.0303284i | \(0.990345\pi\) | |||||||
\(594\) | 1.80054 | − | 3.11862i | 0.0738769 | − | 0.127959i | ||||
\(595\) | 10.9119 | + | 9.72008i | 0.447345 | + | 0.398484i | ||||
\(596\) | 14.9842 | + | 25.9533i | 0.613775 | + | 1.06309i | ||||
\(597\) | − | 49.0690i | − | 2.00826i | ||||||
\(598\) | 2.07602 | + | 2.44951i | 0.0848947 | + | 0.100168i | ||||
\(599\) | −2.27271 | −0.0928606 | −0.0464303 | − | 0.998922i | \(-0.514785\pi\) | ||||
−0.0464303 | + | 0.998922i | \(0.514785\pi\) | |||||||
\(600\) | 15.9003 | + | 6.87664i | 0.649125 | + | 0.280738i | ||||
\(601\) | −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 | ||||
\(603\) | 17.0476i | 0.694231i | ||||||||
\(604\) | −13.7494 | + | 23.8147i | −0.559456 | + | 0.969005i | ||||
\(605\) | −0.210615 | + | 1.01757i | −0.00856273 | + | 0.0413700i | ||||
\(606\) | −5.08549 | −0.206584 | ||||||||
\(607\) | −9.26059 | − | 5.34661i | −0.375876 | − | 0.217012i | 0.300146 | − | 0.953893i | \(-0.402964\pi\) |
−0.676022 | + | 0.736881i | \(0.736298\pi\) | |||||||
\(608\) | 3.97502 | − | 2.29498i | 0.161208 | − | 0.0930736i | ||||
\(609\) | −13.5404 | − | 23.4526i | −0.548683 | − | 0.950347i | ||||
\(610\) | 1.74074 | + | 5.26162i | 0.0704804 | + | 0.213037i | ||||
\(611\) | −23.3164 | − | 8.35673i | −0.943280 | − | 0.338077i | ||||
\(612\) | 15.6429i | 0.632327i | ||||||||
\(613\) | 5.26673 | − | 3.04075i | 0.212721 | − | 0.122815i | −0.389854 | − | 0.920877i | \(-0.627475\pi\) |
0.602575 | + | 0.798062i | \(0.294141\pi\) | |||||||
\(614\) | −4.07057 | − | 7.05043i | −0.164275 | − | 0.284532i | ||||
\(615\) | 16.3921 | + | 3.39283i | 0.660994 | + | 0.136812i | ||||
\(616\) | 14.0101 | 0.564485 | ||||||||
\(617\) | 27.5732 | + | 15.9194i | 1.11006 | + | 0.640892i | 0.938844 | − | 0.344342i | \(-0.111898\pi\) |
0.171213 | + | 0.985234i | \(0.445231\pi\) | |||||||
\(618\) | 5.68295 | + | 3.28106i | 0.228602 | + | 0.131983i | ||||
\(619\) | 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 | ||||
\(621\) | 4.51345 | + | 7.81753i | 0.181119 | + | 0.313707i | ||||
\(622\) | 0.698464 | − | 0.403259i | 0.0280059 | − | 0.0161692i | ||||
\(623\) | − | 34.5957i | − | 1.38605i | ||||||
\(624\) | −24.8424 | + | 21.0545i | −0.994491 | + | 0.842853i | ||||
\(625\) | 7.21560 | − | 23.9361i | 0.288624 | − | 0.957443i | ||||
\(626\) | −3.19200 | − | 5.52871i | −0.127578 | − | 0.220972i | ||||
\(627\) | −9.42647 | + | 5.44238i | −0.376457 | + | 0.217348i | ||||
\(628\) | −17.8805 | − | 10.3233i | −0.713509 | − | 0.411944i | ||||
\(629\) | 3.79785 | 0.151430 | ||||||||
\(630\) | 2.13487 | − | 10.3144i | 0.0850553 | − | 0.410937i | ||||
\(631\) | −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 | ||||||
\(633\) | −44.9907 | − | 25.9754i | −1.78822 | − | 1.03243i | ||||
\(634\) | 4.76764 | + | 8.25780i | 0.189347 | + | 0.327959i | ||||
\(635\) | 13.6294 | − | 15.3005i | 0.540865 | − | 0.607184i | ||||
\(636\) | −65.3098 | −2.58970 | ||||||||
\(637\) | 15.0626 | − | 2.73247i | 0.596804 | − | 0.108264i | ||||
\(638\) | 3.22150i | 0.127540i | ||||||||
\(639\) | 11.1364 | + | 19.2887i | 0.440547 | + | 0.763051i | ||||
\(640\) | −13.6617 | + | 15.3369i | −0.540028 | + | 0.606244i | ||||
\(641\) | −2.76257 | + | 4.78491i | −0.109115 | + | 0.188993i | −0.915412 | − | 0.402518i | \(-0.868135\pi\) |
0.806297 | + | 0.591511i | \(0.201468\pi\) | |||||||
\(642\) | − | 7.63594i | − | 0.301367i | ||||||
\(643\) | 27.8472 | + | 16.0776i | 1.09819 | + | 0.634039i | 0.935744 | − | 0.352679i | \(-0.114729\pi\) |
0.162444 | + | 0.986718i | \(0.448062\pi\) | |||||||
\(644\) | −8.53289 | + | 14.7794i | −0.336243 | + | 0.582390i | ||||
\(645\) | 49.9276 | − | 16.5179i | 1.96590 | − | 0.650391i | ||||
\(646\) | −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 | \(0.245993\pi\) | |||||||
\(648\) | −4.13609 | + | 2.38797i | −0.162481 | + | 0.0938085i | ||||
\(649\) | −8.22905 | −0.323019 | ||||||||
\(650\) | −4.35445 | − | 4.07565i | −0.170796 | − | 0.159860i | ||||
\(651\) | −34.1316 | −1.33772 | ||||||||
\(652\) | 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 | \(0.280134\pi\) | |||||||
\(654\) | 3.78109 | − | 6.54905i | 0.147852 | − | 0.256088i | ||||
\(655\) | −21.2291 | + | 7.02335i | −0.829488 | + | 0.274425i | ||||
\(656\) | −4.66565 | + | 8.08115i | −0.182163 | + | 0.315516i | ||||
\(657\) | 20.0944 | + | 11.6015i | 0.783959 | + | 0.452619i | ||||
\(658\) | 7.62150i | 0.297117i | ||||||||
\(659\) | 2.02183 | − | 3.50192i | 0.0787594 | − | 0.136415i | −0.823956 | − | 0.566654i | \(-0.808237\pi\) |
0.902715 | + | 0.430239i | \(0.141571\pi\) | |||||||
\(660\) | 24.5674 | − | 27.5798i | 0.956285 | − | 1.07354i | ||||
\(661\) | −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 | ||||||
\(663\) | 6.38142 | − | 17.8050i | 0.247834 | − | 0.691489i | ||||
\(664\) | 11.0945 | 0.430551 | ||||||||
\(665\) | −6.21373 | + | 6.97563i | −0.240958 | + | 0.270503i | ||||
\(666\) | −1.36872 | − | 2.37068i | −0.0530366 | − | 0.0918622i | ||||
\(667\) | −6.99351 | − | 4.03771i | −0.270790 | − | 0.156341i | ||||
\(668\) | − | 6.33991i | − | 0.245298i | ||||||
\(669\) | −16.6498 | + | 28.8383i | −0.643719 | + | 1.11495i | ||||
\(670\) | 0.602029 | − | 2.90865i | 0.0232584 | − | 0.112371i | ||||
\(671\) | 24.3164 | 0.938723 | ||||||||
\(672\) | 28.8022 | + | 16.6290i | 1.11107 | + | 0.641477i | ||||
\(673\) | −27.7768 | + | 16.0370i | −1.07072 | + | 0.618179i | −0.928377 | − | 0.371639i | \(-0.878796\pi\) |
−0.142340 | + | 0.989818i | \(0.545463\pi\) | |||||||
\(674\) | −0.314906 | − | 0.545433i | −0.0121297 | − | 0.0210093i | ||||
\(675\) | −10.0000 | − | 13.4590i | −0.384900 | − | 0.518038i | ||||
\(676\) | 23.0111 | − | 8.63282i | 0.885041 | − | 0.332031i | ||||
\(677\) | − | 14.2382i | − | 0.547220i | −0.961841 | − | 0.273610i | \(-0.911782\pi\) | ||
0.961841 | − | 0.273610i | \(-0.0882177\pi\) | |||||||
\(678\) | −5.65503 | + | 3.26493i | −0.217180 | + | 0.125389i | ||||
\(679\) | −8.82983 | − | 15.2937i | −0.338858 | − | 0.586919i | ||||
\(680\) | 1.13683 | − | 5.49249i | 0.0435954 | − | 0.210627i | ||||
\(681\) | 16.5891 | 0.635695 | ||||||||
\(682\) | 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 | \(0.502453\pi\) | |||||||
\(684\) | −10.0000 | −0.382360 | ||||||||
\(685\) | 36.8929 | + | 7.63605i | 1.40961 | + | 0.291759i | ||||
\(686\) | 1.52782 | + | 2.64626i | 0.0583325 | + | 0.101035i | ||||
\(687\) | 62.9025 | − | 36.3168i | 2.39988 | − | 1.38557i | ||||
\(688\) | 29.3152i | 1.11763i | ||||||||
\(689\) | 43.5589 | + | 15.6118i | 1.65946 | + | 0.594761i | ||||
\(690\) | −1.68362 | − | 5.08898i | −0.0640944 | − | 0.193734i | ||||
\(691\) | 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 | ||||
\(693\) | −40.0230 | − | 23.1073i | −1.52035 | − | 0.877774i | ||||
\(694\) | −4.18002 | −0.158671 | ||||||||
\(695\) | 0.465407 | − | 2.24857i | 0.0176539 | − | 0.0852931i | ||||
\(696\) | −5.19707 | + | 9.00160i | −0.196995 | + | 0.341205i | ||||
\(697\) | − | 5.41982i | − | 0.205290i | ||||||
\(698\) | 2.57091 | + | 1.48431i | 0.0973103 | + | 0.0561821i | ||||
\(699\) | −1.10945 | − | 1.92163i | −0.0419634 | − | 0.0726827i | ||||
\(700\) | 12.5832 | − | 29.0951i | 0.475601 | − | 1.09969i | ||||
\(701\) | −14.5454 | −0.549373 | −0.274687 | − | 0.961534i | \(-0.588574\pi\) | ||||
−0.274687 | + | 0.961534i | \(0.588574\pi\) | |||||||
\(702\) | −3.93595 | + | 0.714008i | −0.148553 | + | 0.0269485i | ||||
\(703\) | 2.42785i | 0.0915679i | ||||||||
\(704\) | 8.91238 | + | 15.4367i | 0.335898 | + | 0.581792i | ||||
\(705\) | 30.8753 | + | 27.5030i | 1.16283 | + | 1.03582i | ||||
\(706\) | −5.66565 | + | 9.81320i | −0.213230 | + | 0.369325i | ||||
\(707\) | 19.1501i | 0.720214i | ||||||||
\(708\) | −11.1735 | − | 6.45101i | −0.419925 | − | 0.242444i | ||||
\(709\) | 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 | ||||
\(711\) | −29.2560 | + | 50.6728i | −1.09718 | + | 1.90038i | ||||
\(712\) | −11.4996 | + | 6.63929i | −0.430965 | + | 0.248818i | ||||
\(713\) | −8.81438 | + | 5.08898i | −0.330101 | + | 0.190584i | ||||
\(714\) | −5.81998 | −0.217807 | ||||||||
\(715\) | −22.9781 | + | 12.5219i | −0.859334 | + | 0.468293i | ||||
\(716\) | 34.0490 | 1.27247 | ||||||||
\(717\) | −9.32468 | + | 5.38361i | −0.348237 | + | 0.201055i | ||||
\(718\) | −6.41912 | + | 3.70608i | −0.239559 | + | 0.138310i | ||||
\(719\) | 23.7156 | − | 41.0766i | 0.884443 | − | 1.53190i | 0.0380914 | − | 0.999274i | \(-0.487872\pi\) |
0.846351 | − | 0.532625i | \(-0.178794\pi\) | |||||||
\(720\) | 30.2425 | − | 10.0053i | 1.12707 | − | 0.372876i | ||||
\(721\) | 12.3553 | − | 21.3999i | 0.460134 | − | 0.796976i | ||||
\(722\) | 4.99906 | + | 2.88621i | 0.186046 | + | 0.107414i | ||||
\(723\) | 61.0872i | 2.27186i | ||||||||
\(724\) | −0.986548 | + | 1.70875i | −0.0366648 | + | 0.0635052i | ||||
\(725\) | 13.7676 | + | 5.95429i | 0.511315 | + | 0.221137i | ||||
\(726\) | −0.206926 | − | 0.358406i | −0.00767973 | − | 0.0133017i | ||||
\(727\) | − | 34.0951i | − | 1.26452i | −0.774757 | − | 0.632259i | \(-0.782128\pi\) | ||
0.774757 | − | 0.632259i | \(-0.217872\pi\) | |||||||
\(728\) | −10.0622 | − | 11.8725i | −0.372931 | − | 0.440024i | ||||
\(729\) | 42.8349 | 1.58648 | ||||||||
\(730\) | −3.01880 | − | 2.68908i | −0.111731 | − | 0.0995272i | ||||
\(731\) | −8.51345 | − | 14.7457i | −0.314881 | − | 0.545391i | ||||
\(732\) | 33.0170 | + | 19.0624i | 1.22034 | + | 0.704565i | ||||
\(733\) | − | 14.3920i | − | 0.531580i | −0.964031 | − | 0.265790i | \(-0.914367\pi\) | ||
0.964031 | − | 0.265790i | \(-0.0856327\pi\) | |||||||
\(734\) | 2.18270 | − | 3.78055i | 0.0805651 | − | 0.139543i | ||||
\(735\) | −25.0253 | − | 5.17972i | −0.923074 | − | 0.191057i | ||||
\(736\) | 9.91745 | 0.365562 | ||||||||
\(737\) | −11.2864 | − | 6.51621i | −0.415740 | − | 0.240028i | ||||
\(738\) | −3.38314 | + | 1.95326i | −0.124535 | + | 0.0719004i | ||||
\(739\) | −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 | ||||
\(741\) | 11.3822 | + | 4.07944i | 0.418134 | + | 0.149862i | ||||
\(742\) | − | 14.2382i | − | 0.522702i | ||||||
\(743\) | 35.2589 | − | 20.3567i | 1.29352 | − | 0.746816i | 0.314246 | − | 0.949342i | \(-0.398248\pi\) |
0.979277 | + | 0.202526i | \(0.0649150\pi\) | |||||||
\(744\) | 6.55021 | + | 11.3453i | 0.240142 | + | 0.415939i | ||||
\(745\) | −7.18418 | + | 34.7097i | −0.263208 | + | 1.27167i | ||||
\(746\) | 5.04903 | 0.184858 | ||||||||
\(747\) | −31.6939 | − | 18.2985i | −1.15962 | − | 0.669507i | ||||
\(748\) | −10.3564 | − | 5.97929i | −0.378669 | − | 0.218625i | ||||
\(749\) | −28.7542 | −1.05066 | ||||||||
\(750\) | 4.19498 | + | 9.02975i | 0.153179 | + | 0.329720i | ||||
\(751\) | −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 | ||||
\(753\) | 51.2167i | 1.86644i | ||||||||
\(754\) | 2.72997 | − | 2.31371i | 0.0994196 | − | 0.0842603i | ||||
\(755\) | −30.8786 | + | 10.2158i | −1.12379 | + | 0.371790i | ||||
\(756\) | −10.6304 | − | 18.4123i | −0.386623 | − | 0.669650i | ||||
\(757\) | 11.2864 | − | 6.51621i | 0.410211 | − | 0.236836i | −0.280669 | − | 0.959805i | \(-0.590556\pi\) |
0.690881 | + | 0.722969i | \(0.257223\pi\) | |||||||
\(758\) | 5.22286 | + | 3.01542i | 0.189703 | + | 0.109525i | ||||
\(759\) | −23.5185 | −0.853668 | ||||||||
\(760\) | 3.51117 | + | 0.726739i | 0.127364 | + | 0.0263616i | ||||
\(761\) | 1.99493 | − | 3.45532i | 0.0723161 | − | 0.125255i | −0.827600 | − | 0.561318i | \(-0.810294\pi\) |
0.899916 | + | 0.436063i | \(0.143628\pi\) | |||||||
\(762\) | 8.16070i | 0.295631i | ||||||||
\(763\) | −24.6613 | − | 14.2382i | −0.892800 | − | 0.515458i | ||||
\(764\) | −24.1220 | − | 41.7805i | −0.872703 | − | 1.51157i | ||||
\(765\) | −12.3065 | + | 13.8155i | −0.444943 | + | 0.499500i | ||||
\(766\) | −0.476696 | −0.0172237 | ||||||||
\(767\) | 5.91018 | + | 6.97348i | 0.213404 | + | 0.251798i | ||||
\(768\) | 21.3847i | 0.771652i | ||||||||
\(769\) | 3.33343 | + | 5.77367i | 0.120207 | + | 0.208204i | 0.919849 | − | 0.392272i | \(-0.128311\pi\) |
−0.799642 | + | 0.600476i | \(0.794978\pi\) | |||||||
\(770\) | 6.01268 | + | 5.35596i | 0.216682 | + | 0.193015i | ||||
\(771\) | −2.84181 | + | 4.92216i | −0.102345 | + | 0.177267i | ||||
\(772\) | 37.4720i | 1.34865i | ||||||||
\(773\) | −41.8593 | − | 24.1675i | −1.50557 | − | 0.869244i | −0.999979 | − | 0.00647254i | \(-0.997940\pi\) |
−0.505595 | − | 0.862771i | \(-0.668727\pi\) | |||||||
\(774\) | −6.13636 | + | 10.6285i | −0.220567 | + | 0.382033i | ||||
\(775\) | 15.1752 | − | 11.2751i | 0.545111 | − | 0.405015i | ||||
\(776\) | −3.38907 | + | 5.87005i | −0.121661 | + | 0.210723i | ||||
\(777\) | −15.2349 | + | 8.79585i | −0.546548 | + | 0.315549i | ||||
\(778\) | 5.38393 | − | 3.10841i | 0.193023 | − | 0.111442i | ||||
\(779\) | 3.46472 | 0.124136 | ||||||||
\(780\) | −41.0162 | − | 1.01092i | −1.46862 | − | 0.0361968i | ||||
\(781\) | −17.0269 | −0.609271 | ||||||||
\(782\) | −1.50299 | + | 0.867753i | −0.0537469 | + | 0.0310308i | ||||
\(783\) | 8.71259 | − | 5.03022i | 0.311363 | − | 0.179765i | ||||
\(784\) | 7.12291 | − | 12.3372i | 0.254389 | − | 0.440615i | ||||
\(785\) | −7.67017 | − | 23.1842i | −0.273760 | − | 0.827478i | ||||
\(786\) | 4.45274 | − | 7.71236i | 0.158824 | − | 0.275091i | ||||
\(787\) | −24.2151 | − | 13.9806i | −0.863176 | − | 0.498355i | 0.00189876 | − | 0.999998i | \(-0.499396\pi\) |
−0.865074 | + | 0.501643i | \(0.832729\pi\) | |||||||
\(788\) | 40.9341i | 1.45822i | ||||||||
\(789\) | −40.2658 | + | 69.7424i | −1.43350 | + | 2.48290i | ||||
\(790\) | 6.78113 | − | 7.61261i | 0.241262 | − | 0.270845i | ||||
\(791\) | 12.2945 | + | 21.2948i | 0.437144 | + | 0.757155i | ||||
\(792\) | 17.7381i | 0.630297i | ||||||||
\(793\) | −17.4642 | − | 20.6062i | −0.620174 | − | 0.731749i | ||||
\(794\) | −5.65488 | −0.200684 | ||||||||
\(795\) | −57.6802 | − | 51.3802i | −2.04571 | − | 1.82227i | ||||
\(796\) | 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 | \(0.437393\pi\) | |||||||
\(798\) | − | 3.72052i | − | 0.131705i | ||||||
\(799\) | 6.69377 | − | 11.5939i | 0.236808 | − | 0.410164i | ||||
\(800\) | −18.2990 | + | 2.12122i | −0.646969 | + | 0.0749965i | ||||
\(801\) | 43.8014 | 1.54765 | ||||||||
\(802\) | −6.36120 | − | 3.67264i | −0.224622 | − | 0.129685i | ||||
\(803\) | −15.3617 | + | 8.86907i | −0.542102 | + | 0.312983i | ||||
\(804\) | −10.2165 | − | 17.6955i | −0.360309 | − | 0.624073i | ||||
\(805\) | −19.1633 | + | 6.33991i | −0.675416 | + | 0.223452i | ||||
\(806\) | −0.805054 | − | 4.43784i | −0.0283568 | − | 0.156316i | ||||
\(807\) | − | 50.0382i | − | 1.76143i | ||||||
\(808\) | 6.36548 | − | 3.67511i | 0.223937 | − | 0.129290i | ||||
\(809\) | 7.26434 | + | 12.5822i | 0.255400 | + | 0.442367i | 0.965004 | − | 0.262234i | \(-0.0844594\pi\) |
−0.709604 | + | 0.704601i | \(0.751126\pi\) | |||||||
\(810\) | −2.68797 | − | 0.556354i | −0.0944458 | − | 0.0195483i | ||||
\(811\) | 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 | ||||
\(813\) | −13.5785 | − | 7.83955i | −0.476219 | − | 0.274945i | ||||
\(814\) | 2.09269 | 0.0733489 | ||||||||
\(815\) | 9.14794 | + | 1.89343i | 0.320438 | + | 0.0663240i | ||||
\(816\) | −8.80054 | − | 15.2430i | −0.308080 | − | 0.533611i | ||||
\(817\) | 9.42647 | − | 5.44238i | 0.329790 | − | 0.190405i | ||||
\(818\) | 3.18687i | 0.111426i | ||||||||
\(819\) | 9.16326 | + | 50.5123i | 0.320190 | + | 1.76504i | ||||
\(820\) | −11.1618 | + | 3.69273i | −0.389787 | + | 0.128956i | ||||
\(821\) | −13.5135 | − | 23.4060i | −0.471623 | − | 0.816875i | 0.527850 | − | 0.849337i | \(-0.322998\pi\) |
−0.999473 | + | 0.0324629i | \(0.989665\pi\) | |||||||
\(822\) | −12.9943 | + | 7.50229i | −0.453230 | + | 0.261672i | ||||
\(823\) | 34.2914 | + | 19.7981i | 1.19532 | + | 0.690120i | 0.959509 | − | 0.281679i | \(-0.0908912\pi\) |
0.235814 | + | 0.971798i | \(0.424225\pi\) | |||||||
\(824\) | −9.48442 | −0.330405 | ||||||||
\(825\) | 43.3948 | − | 5.03032i | 1.51081 | − | 0.175133i | ||||
\(826\) | 1.40639 | − | 2.43594i | 0.0489345 | − | 0.0847571i | ||||
\(827\) | 26.5639i | 0.923716i | 0.886954 | + | 0.461858i | \(0.152817\pi\) | ||||
−0.886954 | + | 0.461858i | \(0.847183\pi\) | |||||||
\(828\) | −18.7121 | − | 10.8034i | −0.650290 | − | 0.375445i | ||||
\(829\) | 6.99162 | + | 12.1098i | 0.242829 | + | 0.420592i | 0.961519 | − | 0.274738i | \(-0.0885913\pi\) |
−0.718690 | + | 0.695331i | \(0.755258\pi\) | |||||||
\(830\) | 4.76140 | + | 4.24134i | 0.165271 | + | 0.147219i | ||||
\(831\) | 36.4480 | 1.26437 | ||||||||
\(832\) | 6.68044 | − | 18.6393i | 0.231603 | − | 0.646202i | ||||
\(833\) | 8.27427i | 0.286686i | ||||||||
\(834\) | 0.457254 | + | 0.791986i | 0.0158334 | + | 0.0274242i | ||||
\(835\) | 4.98770 | − | 5.59927i | 0.172607 | − | 0.193771i | ||||
\(836\) | 3.82237 | − | 6.62054i | 0.132199 | − | 0.228976i | ||||
\(837\) | − | 12.6798i | − | 0.438278i | ||||||
\(838\) | −0.560515 | − | 0.323614i | −0.0193627 | − | 0.0111791i | ||||
\(839\) | 7.19707 | − | 12.4657i | 0.248471 | − | 0.430364i | −0.714631 | − | 0.699502i | \(-0.753405\pi\) |
0.963102 | + | 0.269138i | \(0.0867387\pi\) | |||||||
\(840\) | 8.16032 | + | 24.6657i | 0.281558 | + | 0.851048i | ||||
\(841\) | 10.0000 | − | 17.3205i | 0.344828 | − | 0.597259i | ||||
\(842\) | −3.46128 | + | 1.99837i | −0.119284 | + | 0.0688684i | ||||
\(843\) | −1.08333 | + | 0.625462i | −0.0373119 | + | 0.0215421i | ||||
\(844\) | 36.4868 | 1.25593 | ||||||||
\(845\) | 27.1145 | + | 10.4788i | 0.932766 | + | 0.360483i | ||||
\(846\) | −9.64952 | −0.331757 | ||||||||
\(847\) | −1.34963 | + | 0.779207i | −0.0463737 | + | 0.0267739i | ||||
\(848\) | 37.2910 | − | 21.5300i | 1.28058 | − | 0.739343i | ||||
\(849\) | 13.5404 | − | 23.4526i | 0.464704 | − | 0.804891i | ||||
\(850\) | 2.58762 | − | 1.92259i | 0.0887547 | − | 0.0659444i | ||||
\(851\) | −2.62291 | + | 4.54300i | −0.0899120 | + | 0.155732i | ||||
\(852\) | −23.1193 | − | 13.3479i | −0.792053 | − | 0.457292i | ||||
\(853\) | − | 27.2633i | − | 0.933478i | −0.884395 | − | 0.466739i | \(-0.845429\pi\) | ||
0.884395 | − | 0.466739i | \(-0.154571\pi\) | |||||||
\(854\) | −4.15580 | + | 7.19806i | −0.142209 | + | 0.246312i | ||||
\(855\) | −8.83179 | − | 7.86715i | −0.302041 | − | 0.269051i | ||||
\(856\) | 5.51823 | + | 9.55786i | 0.188609 | + | 0.326681i | ||||
\(857\) | 50.6201i | 1.72915i | 0.502503 | + | 0.864575i | \(0.332413\pi\) | ||||
−0.502503 | + | 0.864575i | \(0.667587\pi\) | |||||||
\(858\) | 3.51629 | − | 9.81092i | 0.120044 | − | 0.334939i | ||||
\(859\) | −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 | ||||
\(861\) | 12.5523 | + | 21.7413i | 0.427782 | + | 0.740941i | ||||
\(862\) | −7.04509 | − | 4.06749i | −0.239957 | − | 0.138539i | ||||
\(863\) | 8.38448i | 0.285411i | 0.989765 | + | 0.142706i | \(0.0455802\pi\) | ||||
−0.989765 | + | 0.142706i | \(0.954420\pi\) | |||||||
\(864\) | −6.17763 | + | 10.7000i | −0.210167 | + | 0.364020i | ||||
\(865\) | −19.1312 | − | 3.95976i | −0.650481 | − | 0.134636i | ||||
\(866\) | 11.9342 | 0.405541 | ||||||||
\(867\) | −30.7765 | − | 17.7688i | −1.04522 | − | 0.603460i | ||||
\(868\) | 20.7602 | − | 11.9859i | 0.704646 | − | 0.406828i | ||||
\(869\) | −22.3654 | − | 38.7380i | −0.758695 | − | 1.31410i | ||||
\(870\) | −5.67164 | + | 1.87639i | −0.192287 | + | 0.0636155i | ||||
\(871\) | 2.58402 | + | 14.2443i | 0.0875562 | + | 0.482651i | ||||
\(872\) | 10.9299i | 0.370132i | ||||||||
\(873\) | 19.3632 | − | 11.1794i | 0.655347 | − | 0.378365i | ||||
\(874\) | −0.554726 | − | 0.960814i | −0.0187639 | − | 0.0325000i | ||||
\(875\) | 34.0028 | − | 15.7968i | 1.14950 | − | 0.534028i | ||||
\(876\) | −27.8109 | −0.939645 | ||||||||
\(877\) | −48.3989 | − | 27.9431i | −1.63431 | − | 0.943572i | −0.982741 | − | 0.184985i | \(-0.940776\pi\) |
−0.651573 | − | 0.758586i | \(-0.725890\pi\) | |||||||
\(878\) | 0.726391 | + | 0.419382i | 0.0245145 | + | 0.0141535i | ||||
\(879\) | −36.2051 | −1.22117 | ||||||||
\(880\) | −4.93574 | + | 23.8466i | −0.166384 | + | 0.803867i | ||||
\(881\) | −12.5975 | − | 21.8195i | −0.424420 | − | 0.735116i | 0.571946 | − | 0.820291i | \(-0.306189\pi\) |
−0.996366 | + | 0.0851746i | \(0.972855\pi\) | |||||||
\(882\) | 5.16494 | − | 2.98198i | 0.173913 | − | 0.100408i | ||||
\(883\) | − | 30.7868i | − | 1.03606i | −0.855363 | − | 0.518029i | \(-0.826666\pi\) | ||
0.855363 | − | 0.518029i | \(-0.173334\pi\) | |||||||
\(884\) | 2.37110 | + | 13.0707i | 0.0797489 | + | 0.439614i | ||||
\(885\) | −4.79307 | − | 14.4877i | −0.161117 | − | 0.487000i | ||||
\(886\) | −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 | \(0.266187\pi\) | |||||||
\(888\) | 5.84746 | + | 3.37603i | 0.196228 | + | 0.113292i | ||||
\(889\) | 30.7302 | 1.03066 | ||||||||
\(890\) | −7.47338 | − | 1.54683i | −0.250508 | − | 0.0518499i | ||||
\(891\) | −6.02183 | + | 10.4301i | −0.201739 | + | 0.349422i | ||||
\(892\) | − | 23.3875i | − | 0.783071i | ||||||
\(893\) | 7.41163 | + | 4.27911i | 0.248021 | + | 0.143195i | ||||
\(894\) | −7.05833 | − | 12.2254i | −0.236066 | − | 0.408878i | ||||
\(895\) | 30.0714 | + | 26.7869i | 1.00518 | + | 0.895387i | ||||
\(896\) | −30.8032 | −1.02906 | ||||||||
\(897\) | 16.8912 | + | 19.9301i | 0.563981 | + | 0.665447i | ||||
\(898\) | 8.20739i | 0.273884i | ||||||||
\(899\) | 5.67164 | + | 9.82357i | 0.189160 | + | 0.327634i | ||||
\(900\) | 36.8370 | + | 15.9315i | 1.22790 | + | 0.531050i | ||||
\(901\) | −12.5051 | + | 21.6594i | −0.416604 | + | 0.721580i | ||||
\(902\) | − | 2.98643i | − | 0.0994372i | ||||||
\(903\) | 68.3024 | + | 39.4344i | 2.27296 | + | 1.31230i | ||||
\(904\) | 4.71891 | − | 8.17338i | 0.156948 | − | 0.271843i | ||||
\(905\) | −2.21560 | + | 0.733001i | −0.0736490 | + | 0.0243658i | ||||
\(906\) | 6.47670 | − | 11.2180i | 0.215174 | − | 0.372692i | ||||
\(907\) | 33.6807 | − | 19.4455i | 1.11835 | − | 0.645678i | 0.177369 | − | 0.984144i | \(-0.443241\pi\) |
0.940979 | + | 0.338466i | \(0.109908\pi\) | |||||||
\(908\) | −10.0901 | + | 5.82555i | −0.334853 | + | 0.193328i | ||||
\(909\) | −24.2458 | −0.804183 | ||||||||
\(910\) | 0.220391 | − | 8.94198i | 0.00730591 | − | 0.296424i | ||||
\(911\) | 0.165096 | 0.00546989 | 0.00273494 | − | 0.999996i | \(-0.499129\pi\) | ||||
0.00273494 | + | 0.999996i | \(0.499129\pi\) | |||||||
\(912\) | 9.74434 | − | 5.62590i | 0.322667 | − | 0.186292i | ||||
\(913\) | 24.2292 | − | 13.9887i | 0.801868 | − | 0.462959i | ||||
\(914\) | −1.25180 | + | 2.16818i | −0.0414059 | + | 0.0717171i | ||||
\(915\) | 14.1633 | + | 42.8105i | 0.468223 | + | 1.41527i | ||||
\(916\) | −25.5065 | + | 44.1786i | −0.842760 | + | 1.45970i | ||||
\(917\) | −29.0420 | − | 16.7674i | −0.959050 | − | 0.553708i | ||||
\(918\) | − | 2.16211i | − | 0.0713603i | ||||||
\(919\) | 0.447663 | − | 0.775375i | 0.0147670 | − | 0.0255773i | −0.858547 | − | 0.512734i | \(-0.828633\pi\) |
0.873314 | + | 0.487157i | \(0.161966\pi\) | |||||||
\(920\) | 5.78501 | + | 5.15315i | 0.190726 | + | 0.169894i | ||||
\(921\) | −33.1196 | − | 57.3648i | −1.09133 | − | 1.89024i | ||||
\(922\) | − | 4.08361i | − | 0.134486i | ||||||
\(923\) | 12.2289 | + | 14.4290i | 0.402518 | + | 0.474935i | ||||
\(924\) | 55.3923 | 1.82227 | ||||||||
\(925\) | 3.86792 | − | 8.94346i | 0.127176 | − | 0.294059i | ||||
\(926\) | 3.78109 | + | 6.54905i | 0.124254 | + | 0.215215i | ||||
\(927\) | 27.0943 | + | 15.6429i | 0.889893 | + | 0.513780i | ||||
\(928\) | − | 11.0529i | − | 0.362831i | ||||||
\(929\) | −6.14474 | + | 10.6430i | −0.201602 | + | 0.349185i | −0.949045 | − | 0.315141i | \(-0.897948\pi\) |
0.747443 | + | 0.664326i | \(0.231282\pi\) | |||||||
\(930\) | −1.52608 | + | 7.37311i | −0.0500421 | + | 0.241774i | ||||
\(931\) | −5.28947 | −0.173356 | ||||||||
\(932\) | 1.34963 | + | 0.779207i | 0.0442085 | + | 0.0255238i | ||||
\(933\) | 5.68295 | − | 3.28106i | 0.186052 | − | 0.107417i | ||||
\(934\) | 2.53051 | + | 4.38296i | 0.0828007 | + | 0.143415i | ||||
\(935\) | −4.44259 | − | 13.4284i | −0.145288 | − | 0.439154i | ||||
\(936\) | 15.0317 | − | 12.7397i | 0.491326 | − | 0.416410i | ||||
\(937\) | 5.77242i | 0.188577i | 0.995545 | + | 0.0942884i | \(0.0300576\pi\) | ||||
−0.995545 | + | 0.0942884i | \(0.969942\pi\) | |||||||
\(938\) | 3.85781 | − | 2.22731i | 0.125962 | − | 0.0727242i | ||||
\(939\) | −25.9713 | − | 44.9835i | −0.847540 | − | 1.46798i | ||||
\(940\) | −28.4377 | − | 5.88601i | −0.927537 | − | 0.191981i | ||||
\(941\) | −55.8887 | −1.82192 | −0.910960 | − | 0.412495i | \(-0.864658\pi\) | ||||
−0.910960 | + | 0.412495i | \(0.864658\pi\) | |||||||
\(942\) | 8.42264 | + | 4.86282i | 0.274425 | + | 0.158439i | ||||
\(943\) | 6.48321 | + | 3.74308i | 0.211122 | + | 0.121891i | ||||
\(944\) | 8.50655 | 0.276864 | ||||||||
\(945\) | 5.09675 | − | 24.6245i | 0.165797 | − | 0.801034i | ||||
\(946\) | −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 | \(0.323524\pi\) | |||||||
\(948\) | − | 70.1318i | − | 2.27777i | ||||||
\(949\) | 18.5487 | + | 6.64798i | 0.602117 | + | 0.215802i | ||||
\(950\) | 1.22905 | + | 1.65418i | 0.0398757 | + | 0.0536688i | ||||
\(951\) | 38.7912 | + | 67.1884i | 1.25789 | + | 2.17873i | ||||
\(952\) | 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 | \(0.850157\pi\) | |||||||
\(954\) | 18.0269 | 0.583643 | ||||||||
\(955\) | 11.5653 | − | 55.8768i | 0.374245 | − | 1.80813i | ||||
\(956\) | 3.78109 | − | 6.54905i | 0.122289 | − | 0.211811i | ||||
\(957\) | 26.2113i | 0.847290i | ||||||||
\(958\) | 6.95735 | + | 4.01683i | 0.224782 | + | 0.129778i | ||||
\(959\) | 28.2509 | + | 48.9320i | 0.912269 | + | 1.58010i | ||||
\(960\) | −21.9861 | + | 24.6820i | −0.709600 | + | 0.796608i | ||||
\(961\) | −16.7033 | −0.538817 | ||||||||
\(962\) | −1.50299 | − | 1.77339i | −0.0484584 | − | 0.0571765i | ||||
\(963\) | − | 36.4054i | − | 1.17315i | ||||||
\(964\) | −21.4518 | − | 37.1556i | −0.690917 | − | 1.19670i | ||||
\(965\) | −29.4798 | + | 33.0945i | −0.948987 | + | 1.06535i | ||||
\(966\) | 4.01944 | − | 6.96188i | 0.129323 | − | 0.223995i | ||||
\(967\) | 23.0493i | 0.741216i | 0.928789 | + | 0.370608i | \(0.120851\pi\) | ||||
−0.928789 | + | 0.370608i | \(0.879149\pi\) | |||||||
\(968\) | 0.518015 | + | 0.299076i | 0.0166496 | + | 0.00961267i | ||||
\(969\) | −3.26764 | + | 5.65972i | −0.104972 | + | 0.181816i | ||||
\(970\) | −3.69855 | + | 1.22361i | −0.118753 | + | 0.0392879i | ||||
\(971\) | −7.45964 | + | 12.9205i | −0.239391 | + | 0.414638i | −0.960540 | − | 0.278143i | \(-0.910281\pi\) |
0.721148 | + | 0.692781i | \(0.243615\pi\) | |||||||
\(972\) | −32.8246 | + | 18.9513i | −1.05285 | + | 0.607862i | ||||
\(973\) | 2.98233 | − | 1.72185i | 0.0956092 | − | 0.0552000i | ||||
\(974\) | 12.2040 | 0.391041 | ||||||||
\(975\) | −35.4294 | − | 33.1609i | −1.13465 | − | 1.06200i | ||||
\(976\) | −25.1364 | −0.804595 | ||||||||
\(977\) | 20.2339 | − | 11.6821i | 0.647341 | − | 0.373742i | −0.140096 | − | 0.990138i | \(-0.544741\pi\) |
0.787437 | + | 0.616396i | \(0.211408\pi\) | |||||||
\(978\) | −3.22207 | + | 1.86026i | −0.103030 | + | 0.0594846i | ||||
\(979\) | −16.7425 | + | 28.9989i | −0.535093 | + | 0.926808i | ||||
\(980\) | 17.0404 | − | 5.63757i | 0.544334 | − | 0.180086i | ||||
\(981\) | 18.0269 | − | 31.2235i | 0.575555 | − | 0.996890i | ||||
\(982\) | 10.1292 | + | 5.84810i | 0.323236 | + | 0.186620i | ||||
\(983\) | 5.31119i | 0.169401i | 0.996406 | + | 0.0847003i | \(0.0269933\pi\) | ||||
−0.996406 | + | 0.0847003i | \(0.973007\pi\) | |||||||
\(984\) | 4.81785 | − | 8.34476i | 0.153587 | − | 0.266021i | ||||
\(985\) | −32.2035 | + | 36.1521i | −1.02609 | + | 1.15190i | ||||
\(986\) | 0.967105 | + | 1.67508i | 0.0307989 | + | 0.0533453i | ||||
\(987\) | 62.0112i | 1.97384i | ||||||||
\(988\) | −8.35565 | + | 1.51577i | −0.265829 | + | 0.0482231i | ||||
\(989\) | 23.5185 | 0.747846 | ||||||||
\(990\) | −6.78113 | + | 7.61261i | −0.215519 | + | 0.241945i | ||||
\(991\) | 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 | ||||
\(993\) | − | 8.00299i | − | 0.253967i | ||||||
\(994\) | 2.90999 | − | 5.04025i | 0.0922993 | − | 0.159867i | ||||
\(995\) | −8.26164 | + | 39.9154i | −0.261912 | + | 1.26540i | ||||
\(996\) | 43.8648 | 1.38991 | ||||||||
\(997\) | 17.6755 | + | 10.2050i | 0.559790 | + | 0.323195i | 0.753061 | − | 0.657951i | \(-0.228576\pi\) |
−0.193271 | + | 0.981145i | \(0.561910\pi\) | |||||||
\(998\) | −4.64692 | + | 2.68290i | −0.147096 | + | 0.0849258i | ||||
\(999\) | −3.26764 | − | 5.65972i | −0.103384 | − | 0.179066i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))