Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(484,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([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("845.484");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.n (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.74735897080\) |
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: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 529.4 | ||
Root | \(0.286513 - 0.165418i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.529 |
Dual form | 845.2.n.e.484.4 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 | 0.597865 | − | 0.801597i | \(-0.296016\pi\) |
−0.395270 | + | 0.918565i | \(0.629349\pi\) | |||||||
\(3\) | −2.33117 | − | 1.34590i | −1.34590 | − | 0.777057i | −0.358236 | − | 0.933631i | \(-0.616622\pi\) |
−0.987666 | + | 0.156574i | \(0.949955\pi\) | |||||||
\(4\) | −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 | −0.935611 | − | 0.353031i | \(-0.885151\pi\) |
−0.162072 | + | 0.986779i | \(0.551818\pi\) | |||||||
\(8\) | − | 1.28714i | − | 0.455071i | ||||||
\(9\) | 2.12291 | + | 3.67698i | 0.707635 | + | 1.22566i | ||||
\(10\) | 0.724419 | + | 0.149939i | 0.229081 | + | 0.0474150i | ||||
\(11\) | −1.62291 | + | 2.81095i | −0.489324 | + | 0.847535i | −0.999925 | − | 0.0122837i | \(-0.996090\pi\) |
0.510600 | + | 0.859818i | \(0.329423\pi\) | |||||||
\(12\) | 5.08898i | 1.46906i | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −1.10945 | −0.296514 | ||||||||
\(15\) | −5.89413 | − | 1.21996i | −1.52186 | − | 0.314992i | ||||
\(16\) | −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 | \(0.409277\pi\) | |||||||
\(18\) | 1.40467i | 0.331084i | ||||||||
\(19\) | 0.622905 | + | 1.07890i | 0.142904 | + | 0.247517i | 0.928589 | − | 0.371110i | \(-0.121023\pi\) |
−0.785685 | + | 0.618627i | \(0.787689\pi\) | |||||||
\(20\) | −3.15663 | − | 2.81185i | −0.705844 | − | 0.628750i | ||||
\(21\) | 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 | \(-0.242787\pi\) |
−0.236865 | + | 0.971543i | \(0.576120\pi\) | |||||||
\(24\) | −1.73236 | + | 3.00053i | −0.353616 | + | 0.612481i | ||||
\(25\) | 4.01345 | − | 2.98198i | 0.802690 | − | 0.596396i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 3.35348i | − | 0.645377i | ||||||
\(28\) | 5.49052 | + | 3.16995i | 1.03761 | + | 0.599065i | ||||
\(29\) | 1.50000 | − | 2.59808i | 0.278543 | − | 0.482451i | −0.692480 | − | 0.721437i | \(-0.743482\pi\) |
0.971023 | + | 0.238987i | \(0.0768152\pi\) | |||||||
\(30\) | −1.48694 | − | 1.32453i | −0.271477 | − | 0.241825i | ||||
\(31\) | −3.78109 | −0.679105 | −0.339552 | − | 0.940587i | \(-0.610276\pi\) | ||||
−0.339552 | + | 0.940587i | \(0.610276\pi\) | |||||||
\(32\) | −3.19071 | + | 1.84216i | −0.564043 | + | 0.325650i | ||||
\(33\) | 7.56654 | − | 4.36854i | 1.31717 | − | 0.760466i | ||||
\(34\) | −0.644737 | −0.110571 | ||||||||
\(35\) | −4.98770 | + | 5.59927i | −0.843076 | + | 0.946450i | ||||
\(36\) | 4.01345 | − | 6.95150i | 0.668909 | − | 1.15858i | ||||
\(37\) | 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 | \(0.0969851\pi\) | |||||||
\(42\) | 2.58632 | + | 1.49321i | 0.399078 | + | 0.230408i | ||||
\(43\) | 7.56654 | − | 4.36854i | 1.15389 | − | 0.666197i | 0.204055 | − | 0.978959i | \(-0.434588\pi\) |
0.949831 | + | 0.312763i | \(0.101255\pi\) | |||||||
\(44\) | 6.13636 | 0.925091 | ||||||||
\(45\) | 7.08920 | + | 6.31489i | 1.05679 | + | 0.941368i | ||||
\(46\) | 0.445274 | + | 0.771236i | 0.0656520 | + | 0.113713i | ||||
\(47\) | 6.86960i | 1.00203i | 0.865437 | + | 0.501017i | \(0.167041\pi\) | ||||
−0.865437 | + | 0.501017i | \(0.832959\pi\) | |||||||
\(48\) | 7.82169 | − | 4.51586i | 1.12896 | − | 0.651808i | ||||
\(49\) | 2.12291 | − | 3.67698i | 0.303272 | − | 0.525283i | ||||
\(50\) | 1.64318 | − | 0.190477i | 0.232381 | − | 0.0269375i | ||||
\(51\) | 5.24581 | 0.734560 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 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 | ||||
\(55\) | −1.47104 | + | 7.10721i | −0.198355 | + | 0.958336i | ||||
\(56\) | 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 | \(-0.113894\pi\) |
−0.771634 | + | 0.636067i | \(0.780560\pi\) | |||||||
\(60\) | 3.57417 | + | 10.8034i | 0.461423 | + | 1.39472i | ||||
\(61\) | 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 | ||||
\(63\) | −12.3307 | − | 7.11911i | −1.55352 | − | 0.896924i | ||||
\(64\) | 5.49162 | 0.686453 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.89055 | 0.355802 | ||||||||
\(67\) | −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 | ||||
\(69\) | −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 | \(-0.0659084\pi\) |
−0.667359 | + | 0.744737i | \(0.732575\pi\) | |||||||
\(72\) | 4.73277 | − | 2.73247i | 0.557762 | − | 0.322024i | ||||
\(73\) | − | 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 | ||||
\(75\) | −13.3695 | + | 1.54979i | −1.54378 | + | 0.178954i | ||||
\(76\) | 1.17763 | − | 2.03972i | 0.135084 | − | 0.233972i | ||||
\(77\) | − | 10.8848i | − | 1.24043i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −13.7811 | −1.55049 | −0.775247 | − | 0.631658i | \(-0.782375\pi\) | ||||
−0.775247 | + | 0.631658i | \(0.782375\pi\) | |||||||
\(80\) | −1.52065 | + | 7.34688i | −0.170014 | + | 0.821406i | ||||
\(81\) | 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 | \(0.156850\pi\) | ||||
−0.881031 | + | 0.473059i | \(0.843150\pi\) | |||||||
\(84\) | −8.53289 | − | 14.7794i | −0.931015 | − | 1.61257i | ||||
\(85\) | −2.89851 | + | 3.25391i | −0.314387 | + | 0.352936i | ||||
\(86\) | 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 | 0.451726 | + | 0.892156i | \(0.350808\pi\) |
−0.998493 | + | 0.0548717i | \(0.982525\pi\) | |||||||
\(90\) | 0.986548 | + | 2.98198i | 0.103991 | + | 0.314328i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | − | 5.08898i | − | 0.530563i | ||||||
\(93\) | 8.81438 | + | 5.08898i | 0.914008 | + | 0.527703i | ||||
\(94\) | −1.13636 | + | 1.96823i | −0.117206 | + | 0.203007i | ||||
\(95\) | 2.08012 | + | 1.85292i | 0.213416 | + | 0.190106i | ||||
\(96\) | 9.91745 | 1.01220 | ||||||||
\(97\) | 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 | ||||
\(99\) | −13.7811 | −1.38505 | ||||||||
\(100\) | −8.67609 | − | 3.75229i | −0.867609 | − | 0.375229i | ||||
\(101\) | −2.85526 | + | 4.94546i | −0.284109 | + | 0.492092i | −0.972393 | − | 0.233350i | \(-0.925031\pi\) |
0.688283 | + | 0.725442i | \(0.258365\pi\) | |||||||
\(102\) | 1.50299 | + | 0.867753i | 0.148818 | + | 0.0859203i | ||||
\(103\) | 7.36863i | 0.726052i | 0.931779 | + | 0.363026i | \(0.118256\pi\) | ||||
−0.931779 | + | 0.363026i | \(0.881744\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 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 | \(-0.469363\pi\) |
−0.813967 | + | 0.580911i | \(0.802697\pi\) | |||||||
\(108\) | −5.49052 | + | 3.16995i | −0.528326 | + | 0.305029i | ||||
\(109\) | −8.49162 | −0.813350 | −0.406675 | − | 0.913573i | \(-0.633312\pi\) | ||||
−0.406675 | + | 0.913573i | \(0.633312\pi\) | |||||||
\(110\) | −1.59714 | + | 1.79297i | −0.152281 | + | 0.170953i | ||||
\(111\) | −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 | \(-0.554584\pi\) |
0.768004 | + | 0.640446i | \(0.221250\pi\) | |||||||
\(114\) | 0.554726 | − | 0.960814i | 0.0519549 | − | 0.0899885i | ||||
\(115\) | 5.89413 | + | 1.21996i | 0.549630 | + | 0.113762i | ||||
\(116\) | −5.67164 | −0.526599 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.838765i | 0.0772145i | ||||||||
\(119\) | 3.26764 | − | 5.65972i | 0.299544 | − | 0.518826i | ||||
\(120\) | −1.57025 | + | 7.58654i | −0.143344 | + | 0.692553i | ||||
\(121\) | 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 | \(-0.200057\pi\) |
−0.104707 | + | 0.994503i | \(0.533390\pi\) | |||||||
\(128\) | 7.95484 | + | 4.59273i | 0.703115 | + | 0.405944i | ||||
\(129\) | −23.5185 | −2.07069 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 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 | −0.970435 | − | 0.241361i | \(-0.922406\pi\) |
−0.276193 | + | 0.961102i | \(0.589073\pi\) | |||||||
\(138\) | − | 2.39718i | − | 0.204061i | ||||||
\(139\) | −0.513452 | − | 0.889325i | −0.0435505 | − | 0.0754316i | 0.843429 | − | 0.537241i | \(-0.180534\pi\) |
−0.886979 | + | 0.461810i | \(0.847200\pi\) | |||||||
\(140\) | 13.8822 | + | 2.87333i | 1.17326 | + | 0.242841i | ||||
\(141\) | 9.24581 | − | 16.0142i | 0.778638 | − | 1.34864i | ||||
\(142\) | 1.73551i | 0.145640i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −14.2458 | −1.18715 | ||||||||
\(145\) | 1.35964 | − | 6.56897i | 0.112912 | − | 0.545523i | ||||
\(146\) | 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 | −0.983288 | − | 0.182056i | \(-0.941725\pi\) |
0.333979 | − | 0.942581i | \(-0.391609\pi\) | |||||||
\(150\) | −4.08690 | − | 1.76752i | −0.333694 | − | 0.144318i | ||||
\(151\) | −14.5454 | −1.18369 | −0.591845 | − | 0.806052i | \(-0.701600\pi\) | ||||
−0.591845 | + | 0.806052i | \(0.701600\pi\) | |||||||
\(152\) | 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 | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 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 | ||||
\(160\) | −5.47976 | + | 6.15167i | −0.433213 | + | 0.486332i | ||||
\(161\) | −9.02690 | −0.711420 | ||||||||
\(162\) | 1.06311 | − | 0.613789i | 0.0835261 | − | 0.0482238i | ||||
\(163\) | −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 | ||||||||
\(165\) | 12.9949 | − | 14.5882i | 1.01165 | − | 1.13569i | ||||
\(166\) | −1.42583 | + | 2.46961i | −0.110666 | + | 0.191679i | ||||
\(167\) | −2.90420 | − | 1.67674i | −0.224733 | − | 0.129750i | 0.383407 | − | 0.923580i | \(-0.374751\pi\) |
−0.608140 | + | 0.793830i | \(0.708084\pi\) | |||||||
\(168\) | − | 11.6188i | − | 0.896413i | ||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −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 | \(-0.774435\pi\) |
0.183979 | + | 0.982930i | \(0.441102\pi\) | |||||||
\(174\) | −2.67164 | −0.202537 | ||||||||
\(175\) | −6.65585 | + | 15.3898i | −0.503135 | + | 1.16336i | ||||
\(176\) | −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 | 0.303958 | + | 0.952685i | \(0.401692\pi\) |
−0.977029 | + | 0.213107i | \(0.931642\pi\) | |||||||
\(180\) | 3.63790 | − | 17.5762i | 0.271153 | − | 1.31005i | ||||
\(181\) | 1.04366 | 0.0775749 | 0.0387875 | − | 0.999247i | \(-0.487650\pi\) | ||||
0.0387875 | + | 0.999247i | \(0.487650\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 20.1660i | − | 1.49071i | ||||||
\(184\) | 1.73236 | − | 3.00053i | 0.127711 | − | 0.221202i | ||||
\(185\) | 4.26722 | + | 0.883225i | 0.313732 | + | 0.0649360i | ||||
\(186\) | 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 | −0.794387 | − | 0.607412i | \(-0.792208\pi\) |
−0.128841 | − | 0.991665i | \(-0.541126\pi\) | |||||||
\(192\) | −12.8019 | − | 7.39118i | −0.923898 | − | 0.533413i | ||||
\(193\) | 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 | 0.986206 | − | 0.165521i | \(-0.0529304\pi\) |
0.349758 | + | 0.936840i | \(0.386264\pi\) | |||||||
\(198\) | −3.94846 | − | 2.27964i | −0.280605 | − | 0.162007i | ||||
\(199\) | 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 | ||||
\(201\) | 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 | ||||
\(205\) | 1.26043 | − | 6.08964i | 0.0880321 | − | 0.425319i | ||||
\(206\) | −1.21891 | + | 2.11121i | −0.0849252 | + | 0.147095i | ||||
\(207\) | 11.4289i | 0.794363i | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.04366 | −0.279706 | ||||||||
\(210\) | 6.53926 | + | 1.35349i | 0.451252 | + | 0.0933996i | ||||
\(211\) | −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 | ||||
\(213\) | − | 14.1207i | − | 0.967534i | ||||||
\(214\) | −1.41837 | − | 2.45669i | −0.0969577 | − | 0.167936i | ||||
\(215\) | 12.9949 | − | 14.5882i | 0.886242 | − | 0.994910i | ||||
\(216\) | −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 | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | − | 1.73551i | − | 0.116480i | ||||||
\(223\) | −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 | ||||
\(225\) | 19.4849 | + | 8.42692i | 1.29899 | + | 0.561795i | ||||
\(226\) | 2.42583 | 0.161364 | ||||||||
\(227\) | 5.33715 | − | 3.08141i | 0.354239 | − | 0.204520i | −0.312311 | − | 0.949980i | \(-0.601103\pi\) |
0.666551 | + | 0.745460i | \(0.267770\pi\) | |||||||
\(228\) | −5.49052 | + | 3.16995i | −0.363619 | + | 0.209935i | ||||
\(229\) | −26.9832 | −1.78310 | −0.891551 | − | 0.452920i | \(-0.850382\pi\) | ||||
−0.891551 | + | 0.452920i | \(0.850382\pi\) | |||||||
\(230\) | 1.48694 | + | 1.32453i | 0.0980459 | + | 0.0873370i | ||||
\(231\) | −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 | \(-0.00859588\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 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 | \(-0.458705\pi\) | ||||
0.129369 | + | 0.991596i | \(0.458705\pi\) | |||||||
\(240\) | 13.4331 | − | 15.0802i | 0.867101 | − | 0.973421i | ||||
\(241\) | 11.3469 | + | 19.6534i | 0.730917 | + | 1.26599i | 0.956492 | + | 0.291760i | \(0.0942407\pi\) |
−0.225575 | + | 0.974226i | \(0.572426\pi\) | |||||||
\(242\) | 0.153745i | 0.00988310i | ||||||||
\(243\) | −17.3625 | + | 10.0242i | −1.11380 | + | 0.643054i | ||||
\(244\) | 7.08163 | − | 12.2657i | 0.453355 | − | 0.785234i | ||||
\(245\) | 1.92426 | − | 9.29687i | 0.122936 | − | 0.593955i | ||||
\(246\) | −2.47670 | −0.157908 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 4.86678i | 0.309041i | ||||||||
\(249\) | 11.6011 | − | 20.0936i | 0.735188 | − | 1.27338i | ||||
\(250\) | 3.35454 | − | 1.55843i | 0.212159 | − | 0.0985635i | ||||
\(251\) | −9.51345 | − | 16.4778i | −0.600484 | − | 1.04007i | −0.992748 | − | 0.120216i | \(-0.961641\pi\) |
0.392264 | − | 0.919853i | \(-0.371692\pi\) | |||||||
\(252\) | 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 | \(-0.312356\pi\) |
−0.441883 | + | 0.897073i | \(0.645689\pi\) | |||||||
\(258\) | −6.73836 | − | 3.89039i | −0.419512 | − | 0.242205i | ||||
\(259\) | −6.53528 | −0.406083 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 12.7374 | 0.788427 | ||||||||
\(262\) | 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 | \(0.292899\pi\) | |||||||
\(264\) | −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 | 0.996889 | + | 0.0788127i | \(0.0251129\pi\) |
−0.430191 | + | 0.902738i | \(0.641554\pi\) | |||||||
\(270\) | 0.502818 | − | 2.42932i | 0.0306006 | − | 0.147844i | ||||
\(271\) | 2.91238 | − | 5.04439i | 0.176914 | − | 0.306425i | −0.763908 | − | 0.645326i | \(-0.776722\pi\) |
0.940822 | + | 0.338901i | \(0.110055\pi\) | |||||||
\(272\) | − | 6.53876i | − | 0.396471i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.57417 | −0.336748 | ||||||||
\(275\) | 1.86875 | + | 16.1211i | 0.112690 | + | 0.972139i | ||||
\(276\) | −6.84927 | + | 11.8633i | −0.412278 | + | 0.714086i | ||||
\(277\) | −11.7263 | + | 6.77017i | −0.704564 | + | 0.406780i | −0.809045 | − | 0.587747i | \(-0.800015\pi\) |
0.104481 | + | 0.994527i | \(0.466682\pi\) | |||||||
\(278\) | − | 0.339738i | − | 0.0203761i | ||||||
\(279\) | −8.02690 | − | 13.9030i | −0.480558 | − | 0.832351i | ||||
\(280\) | 7.20702 | + | 6.41985i | 0.430702 | + | 0.383659i | ||||
\(281\) | 0.464716 | 0.0277226 | 0.0138613 | − | 0.999904i | \(-0.495588\pi\) | ||||
0.0138613 | + | 0.999904i | \(0.495588\pi\) | |||||||
\(282\) | 5.29809 | − | 3.05885i | 0.315496 | − | 0.182152i | ||||
\(283\) | −8.71259 | − | 5.03022i | −0.517910 | − | 0.299015i | 0.218169 | − | 0.975911i | \(-0.429991\pi\) |
−0.736079 | + | 0.676896i | \(0.763325\pi\) | |||||||
\(284\) | 4.95873 | − | 8.58877i | 0.294246 | − | 0.509649i | ||||
\(285\) | −2.35526 | − | 7.11911i | −0.139514 | − | 0.421700i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 9.32634i | 0.550516i | ||||||||
\(288\) | −13.5471 | − | 7.82145i | −0.798273 | − | 0.460883i | ||||
\(289\) | −6.60107 | + | 11.4334i | −0.388298 | + | 0.672553i | ||||
\(290\) | 1.47618 | − | 1.65719i | 0.0866844 | − | 0.0973133i | ||||
\(291\) | −14.1752 | −0.830967 | ||||||||
\(292\) | −8.94752 | + | 5.16586i | −0.523614 | + | 0.302309i | ||||
\(293\) | −11.6481 | + | 6.72506i | −0.680492 | + | 0.392882i | −0.800040 | − | 0.599946i | \(-0.795189\pi\) |
0.119548 | + | 0.992828i | \(0.461855\pi\) | |||||||
\(294\) | −3.78109 | −0.220518 | ||||||||
\(295\) | 4.23314 | + | 3.77079i | 0.246463 | + | 0.219544i | ||||
\(296\) | 1.25419 | − | 2.17232i | 0.0728983 | − | 0.126264i | ||||
\(297\) | 9.42647 | + | 5.44238i | 0.546979 | + | 0.315799i | ||||
\(298\) | − | 5.24431i | − | 0.303795i | ||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 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 | ||||||||
\(305\) | 12.5087 | + | 11.1425i | 0.716246 | + | 0.638015i | ||||
\(306\) | −1.36872 | − | 2.37068i | −0.0782442 | − | 0.135523i | ||||
\(307\) | 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 | ||||
\(309\) | 9.91745 | − | 17.1775i | 0.564184 | − | 0.977196i | ||||
\(310\) | −2.73909 | − | 0.566935i | −0.155570 | − | 0.0321997i | ||||
\(311\) | 2.43781 | 0.138236 | 0.0691178 | − | 0.997609i | \(-0.477982\pi\) | ||||
0.0691178 | + | 0.997609i | \(0.477982\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 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 | ||||
\(315\) | −31.1768 | − | 6.45295i | −1.75662 | − | 0.363583i | ||||
\(316\) | 13.0269 | + | 22.5633i | 0.732821 | + | 1.26928i | ||||
\(317\) | − | 28.8217i | − | 1.61879i | −0.587265 | − | 0.809395i | \(-0.699795\pi\) | ||
0.587265 | − | 0.809395i | \(-0.300205\pi\) | |||||||
\(318\) | 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 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −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 | \(-0.192704\pi\) |
−0.903984 | + | 0.427567i | \(0.859371\pi\) | |||||||
\(332\) | 14.1125 | − | 8.14783i | 0.774522 | − | 0.447171i | ||||
\(333\) | 8.27427i | 0.453427i | ||||||||
\(334\) | −0.554726 | − | 0.960814i | −0.0303533 | − | 0.0525734i | ||||
\(335\) | −8.79180 | − | 1.81972i | −0.480347 | − | 0.0994218i | ||||
\(336\) | −15.1438 | + | 26.2299i | −0.826163 | + | 1.43096i | ||||
\(337\) | − | 1.90370i | − | 0.103701i | −0.998655 | − | 0.0518505i | \(-0.983488\pi\) | ||
0.998655 | − | 0.0518505i | \(-0.0165119\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −19.7374 | −1.07199 | ||||||||
\(340\) | 8.06738 | + | 1.66978i | 0.437515 | + | 0.0905565i | ||||
\(341\) | 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 | ||||
\(345\) | −12.0983 | − | 10.7769i | −0.651349 | − | 0.580206i | ||||
\(346\) | −2.89055 | −0.155397 | ||||||||
\(347\) | 10.9420 | − | 6.31735i | 0.587396 | − | 0.339133i | −0.176671 | − | 0.984270i | \(-0.556533\pi\) |
0.764067 | + | 0.645137i | \(0.223200\pi\) | |||||||
\(348\) | 13.2216 | + | 7.63347i | 0.708750 | + | 0.409197i | ||||
\(349\) | −4.48655 | + | 7.77093i | −0.240159 | + | 0.415968i | −0.960760 | − | 0.277383i | \(-0.910533\pi\) |
0.720600 | + | 0.693351i | \(0.243866\pi\) | |||||||
\(350\) | −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 | \(-0.968271\pi\) |
−0.583701 | − | 0.811969i | \(-0.698396\pi\) | |||||||
\(354\) | 1.12890 | − | 1.95530i | 0.0600001 | − | 0.103923i | ||||
\(355\) | 8.75889 | + | 7.80221i | 0.464874 | + | 0.414098i | ||||
\(356\) | 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 | \(-0.298644\pi\) | ||||
0.591227 | + | 0.806505i | \(0.298644\pi\) | |||||||
\(360\) | 8.12812 | − | 9.12475i | 0.428389 | − | 0.480917i | ||||
\(361\) | 8.72398 | − | 15.1104i | 0.459157 | − | 0.795283i | ||||
\(362\) | 0.299023 | + | 0.172641i | 0.0157163 | + | 0.00907381i | ||||
\(363\) | − | 1.25092i | − | 0.0656565i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −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 | \(-0.445247\pi\) |
−0.767663 | + | 0.640854i | \(0.778580\pi\) | |||||||
\(368\) | −7.82169 | + | 4.51586i | −0.407734 | + | 0.235405i | ||||
\(369\) | 11.8080 | 0.614700 | ||||||||
\(370\) | 1.07651 | + | 0.958932i | 0.0559652 | + | 0.0498525i | ||||
\(371\) | −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 | \(-0.795958\pi\) |
0.117149 | + | 0.993114i | \(0.462624\pi\) | |||||||
\(374\) | 1.04635 | − | 1.81233i | 0.0541053 | − | 0.0937131i | ||||
\(375\) | −27.2937 | + | 12.6799i | −1.40944 | + | 0.654788i | ||||
\(376\) | 8.84210 | 0.455997 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 3.72052i | 0.191363i | ||||||||
\(379\) | −9.11453 | + | 15.7868i | −0.468182 | + | 0.810915i | −0.999339 | − | 0.0363588i | \(-0.988424\pi\) |
0.531157 | + | 0.847273i | \(0.321757\pi\) | |||||||
\(380\) | 1.06744 | − | 5.15722i | 0.0547583 | − | 0.264560i | ||||
\(381\) | −12.3334 | − | 21.3621i | −0.631861 | − | 1.09442i | ||||
\(382\) | − | 8.44246i | − | 0.431954i | ||||||
\(383\) | −1.24784 | + | 0.720440i | −0.0637616 | + | 0.0368128i | −0.531542 | − | 0.847032i | \(-0.678387\pi\) |
0.467780 | + | 0.883845i | \(0.345054\pi\) | |||||||
\(384\) | −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 | \(0.341950\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −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 | −0.823132 | − | 0.567850i | \(-0.807775\pi\) |
0.0802063 | + | 0.996778i | \(0.474442\pi\) | |||||||
\(398\) | 6.03084i | 0.302298i | ||||||||
\(399\) | 5.62291 | + | 9.73916i | 0.281497 | + | 0.487568i | ||||
\(400\) | 1.93177 | + | 16.6647i | 0.0965886 | + | 0.833236i | ||||
\(401\) | 11.1011 | − | 19.2276i | 0.554361 | − | 0.960182i | −0.443592 | − | 0.896229i | \(-0.646296\pi\) |
0.997953 | − | 0.0639527i | \(-0.0203707\pi\) | |||||||
\(402\) | 3.57568i | 0.178339i | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 10.7960 | 0.537122 | ||||||||
\(405\) | 1.68166 | − | 8.12478i | 0.0835623 | − | 0.403724i | ||||
\(406\) | −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 | \(-0.0901242\pi\) |
−0.722030 | + | 0.691862i | \(0.756791\pi\) | |||||||
\(410\) | 1.36847 | − | 1.53626i | 0.0675838 | − | 0.0758706i | ||||
\(411\) | 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 | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.76423i | 0.135365i | ||||||||
\(418\) | −1.15856 | − | 0.668896i | −0.0566671 | − | 0.0327168i | ||||
\(419\) | −0.978168 | + | 1.69424i | −0.0477866 | + | 0.0827689i | −0.888929 | − | 0.458044i | \(-0.848550\pi\) |
0.841143 | + | 0.540813i | \(0.181883\pi\) | |||||||
\(420\) | −28.4946 | − | 25.3823i | −1.39039 | − | 1.23853i | ||||
\(421\) | 12.0807 | 0.588778 | 0.294389 | − | 0.955686i | \(-0.404884\pi\) | ||||
0.294389 | + | 0.955686i | \(0.404884\pi\) | |||||||
\(422\) | −5.52959 | + | 3.19251i | −0.269176 | + | 0.155409i | ||||
\(423\) | −25.2594 | + | 14.5835i | −1.22815 | + | 0.709075i | ||||
\(424\) | 16.5185 | 0.802210 | ||||||||
\(425\) | −3.86792 | + | 8.94346i | −0.187622 | + | 0.433822i | ||||
\(426\) | 2.33582 | − | 4.04576i | 0.113171 | − | 0.196018i | ||||
\(427\) | −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 | \(-0.0350767\pi\) | |||||||
\(432\) | 9.74434 | + | 5.62590i | 0.468825 | + | 0.270676i | ||||
\(433\) | −31.2400 | + | 18.0364i | −1.50130 | + | 0.866775i | −0.501299 | + | 0.865274i | \(0.667144\pi\) |
−0.999999 | + | 0.00150085i | \(0.999522\pi\) | |||||||
\(434\) | 4.19495 | 0.201364 | ||||||||
\(435\) | −12.0107 | + | 13.4835i | −0.575871 | + | 0.646482i | ||||
\(436\) | 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 | −0.834188 | − | 0.551480i | \(-0.814063\pi\) |
0.894690 | + | 0.446688i | \(0.147397\pi\) | |||||||
\(440\) | 9.14794 | + | 1.89343i | 0.436111 | + | 0.0902658i | ||||
\(441\) | 18.0269 | 0.858424 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 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 | ||||
\(445\) | −4.67552 | + | 22.5893i | −0.221641 | + | 1.07084i | ||||
\(446\) | −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 | 0.994828 | + | 0.101576i | \(0.0323884\pi\) |
−0.409447 | + | 0.912334i | \(0.634278\pi\) | |||||||
\(450\) | 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 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −4.31638 | −0.202133 | ||||||||
\(457\) | −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 | ||||
\(459\) | 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 | \(-0.259472\pi\) |
−0.973198 | + | 0.229967i | \(0.926138\pi\) | |||||||
\(462\) | −8.39472 | + | 4.84669i | −0.390558 | + | 0.225489i | ||||
\(463\) | − | 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 | ||||
\(465\) | 22.2863 | + | 4.61279i | 1.03350 | + | 0.213913i | ||||
\(466\) | 0.136357 | − | 0.236178i | 0.00631664 | − | 0.0109407i | ||||
\(467\) | 15.2976i | 0.707889i | 0.935266 | + | 0.353945i | \(0.115160\pi\) | ||||
−0.935266 | + | 0.353945i | \(0.884840\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.4647 | 0.621743 | ||||||||
\(470\) | −1.03002 | + | 4.97647i | −0.0475115 | + | 0.229547i | ||||
\(471\) | 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 | ||||
\(475\) | 5.71727 | + | 2.47264i | 0.262326 | + | 0.113452i | ||||
\(476\) | −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 | 0.443166 | + | 0.896439i | \(0.353855\pi\) |
−0.997922 | + | 0.0644264i | \(0.979478\pi\) | |||||||
\(480\) | 21.0538 | − | 6.96537i | 0.960971 | − | 0.317924i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 7.50793i | 0.341977i | ||||||||
\(483\) | 21.0433 | + | 12.1493i | 0.957501 | + | 0.552814i | ||||
\(484\) | 0.439284 | − | 0.760862i | 0.0199674 | − | 0.0345846i | ||||
\(485\) | 7.83235 | − | 8.79272i | 0.355649 | − | 0.399257i | ||||
\(486\) | −6.63276 | −0.300868 | ||||||||
\(487\) | 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 | ||||
\(489\) | 11.2458 | 0.508553 | ||||||||
\(490\) | 2.08920 | − | 2.34537i | 0.0943803 | − | 0.105953i | ||||
\(491\) | 17.6767 | − | 30.6170i | 0.797739 | − | 1.38172i | −0.123346 | − | 0.992364i | \(-0.539363\pi\) |
0.921085 | − | 0.389361i | \(-0.127304\pi\) | |||||||
\(492\) | 12.2568 | + | 7.07647i | 0.552580 | + | 0.319032i | ||||
\(493\) | 5.84642i | 0.263310i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −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 | \(-0.381743\pi\) | ||||
0.363029 | + | 0.931778i | \(0.381743\pi\) | |||||||
\(500\) | −21.0539 | − | 1.87223i | −0.941558 | − | 0.0837286i | ||||
\(501\) | 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 | \(-0.517665\pi\) |
0.836958 | + | 0.547268i | \(0.184332\pi\) | |||||||
\(504\) | −9.16326 | + | 15.8712i | −0.408164 | + | 0.706961i | ||||
\(505\) | −2.58808 | + | 12.5041i | −0.115168 | + | 0.556425i | ||||
\(506\) | −2.89055 | −0.128500 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | − | 17.3244i | − | 0.768646i | ||||||
\(509\) | 10.0185 | − | 17.3526i | 0.444063 | − | 0.769140i | −0.553923 | − | 0.832568i | \(-0.686870\pi\) |
0.997986 | + | 0.0634276i | \(0.0202032\pi\) | |||||||
\(510\) | 3.80016 | + | 0.786554i | 0.168274 | + | 0.0348292i | ||||
\(511\) | 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 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 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 | \(-0.250720\pi\) |
−0.261004 | + | 0.965338i | \(0.584054\pi\) | |||||||
\(524\) | −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 | ||||
\(530\) | −1.92426 | + | 9.29687i | −0.0835844 | + | 0.403830i | ||||
\(531\) | −5.38217 | + | 9.32219i | −0.233566 | + | 0.404548i | ||||
\(532\) | 7.89832i | 0.342436i | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 9.18722 | 0.397570 | ||||||||
\(535\) | −18.7751 | − | 3.88605i | −0.811718 | − | 0.168008i | ||||
\(536\) | −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 | ||||
\(540\) | −9.42949 | + | 10.5857i | −0.405780 | + | 0.455536i | ||||
\(541\) | 21.8080 | 0.937599 | 0.468800 | − | 0.883305i | \(-0.344687\pi\) | ||||
0.468800 | + | 0.883305i | \(0.344687\pi\) | |||||||
\(542\) | 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 | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 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 | ||||
\(550\) | −2.13130 | + | 4.92803i | −0.0908790 | + | 0.210132i | ||||
\(551\) | 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 | ||||||||
\(555\) | −8.75889 | − | 7.80221i | −0.371794 | − | 0.331185i | ||||
\(556\) | −0.970706 | + | 1.68131i | −0.0411671 | + | 0.0713035i | ||||
\(557\) | −31.0364 | − | 17.9189i | −1.31506 | − | 0.759247i | −0.332126 | − | 0.943235i | \(-0.607766\pi\) |
−0.982929 | + | 0.183987i | \(0.941099\pi\) | |||||||
\(558\) | − | 5.31119i | − | 0.224840i | ||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −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 | \(-0.633052\pi\) |
0.588500 | + | 0.808497i | \(0.299719\pi\) | |||||||
\(564\) | −34.9593 | −1.47205 | ||||||||
\(565\) | 10.9057 | − | 12.2429i | 0.458805 | − | 0.515062i | ||||
\(566\) | −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 | −0.970391 | − | 0.241539i | \(-0.922348\pi\) |
0.694375 | + | 0.719614i | \(0.255681\pi\) | |||||||
\(570\) | 0.502818 | − | 2.42932i | 0.0210607 | − | 0.101753i | ||||
\(571\) | 19.8349 | 0.830065 | 0.415032 | − | 0.909807i | \(-0.363770\pi\) | ||||
0.415032 | + | 0.909807i | \(0.363770\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 68.6909i | 2.86960i | ||||||||
\(574\) | −1.54275 | + | 2.67212i | −0.0643930 | + | 0.111532i | ||||
\(575\) | 13.3695 | − | 1.54979i | 0.557547 | − | 0.0646307i | ||||
\(576\) | 11.6582 | + | 20.1926i | 0.485758 | + | 0.841357i | ||||
\(577\) | 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 | ||||
\(579\) | −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 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.44979 | −0.183819 | ||||||||
\(587\) | −35.0303 | − | 20.2247i | −1.44585 | − | 0.834764i | −0.447624 | − | 0.894222i | \(-0.647730\pi\) |
−0.998231 | + | 0.0594576i | \(0.981063\pi\) | |||||||
\(588\) | 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 | \(-0.990345\pi\) | ||
0.999540 | − | 0.0303284i | \(-0.00965532\pi\) | |||||||
\(594\) | 1.80054 | + | 3.11862i | 0.0738769 | + | 0.127959i | ||||
\(595\) | 2.96188 | − | 14.3100i | 0.121425 | − | 0.586654i | ||||
\(596\) | −14.9842 | + | 25.9533i | −0.613775 | + | 1.06309i | ||||
\(597\) | − | 49.0690i | − | 2.00826i | ||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −2.27271 | −0.0928606 | −0.0464303 | − | 0.998922i | \(-0.514785\pi\) | ||||
−0.0464303 | + | 0.998922i | \(0.514785\pi\) | |||||||
\(600\) | 1.99479 | + | 17.2083i | 0.0814369 | + | 0.702528i | ||||
\(601\) | −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 | ||||
\(603\) | − | 17.0476i | − | 0.694231i | ||||||
\(604\) | 13.7494 | + | 23.8147i | 0.559456 | + | 0.969005i | ||||
\(605\) | 0.775932 | + | 0.691182i | 0.0315461 | + | 0.0281006i | ||||
\(606\) | 5.08549 | 0.206584 | ||||||||
\(607\) | 9.26059 | − | 5.34661i | 0.375876 | − | 0.217012i | −0.300146 | − | 0.953893i | \(-0.597036\pi\) |
0.676022 | + | 0.736881i | \(0.263702\pi\) | |||||||
\(608\) | −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 | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 15.6429i | 0.632327i | ||||||||
\(613\) | 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 | ||||
\(615\) | −11.1343 | + | 12.4996i | −0.448980 | + | 0.504032i | ||||
\(616\) | −14.0101 | −0.564485 | ||||||||
\(617\) | 27.5732 | − | 15.9194i | 1.11006 | − | 0.640892i | 0.171213 | − | 0.985234i | \(-0.445231\pi\) |
0.938844 | + | 0.344342i | \(0.111898\pi\) | |||||||
\(618\) | 5.68295 | − | 3.28106i | 0.228602 | − | 0.131983i | ||||
\(619\) | −26.4043 | −1.06128 | −0.530639 | − | 0.847598i | \(-0.678048\pi\) | ||||
−0.530639 | + | 0.847598i | \(0.678048\pi\) | |||||||
\(620\) | 11.9355 | + | 10.6319i | 0.479342 | + | 0.426987i | ||||
\(621\) | 4.51345 | − | 7.81753i | 0.181119 | − | 0.313707i | ||||
\(622\) | 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 | ||||
\(627\) | 9.42647 | + | 5.44238i | 0.376457 | + | 0.217348i | ||||
\(628\) | 17.8805 | − | 10.3233i | 0.713509 | − | 0.411944i | ||||
\(629\) | −3.79785 | −0.151430 | ||||||||
\(630\) | −7.86513 | − | 7.00607i | −0.313354 | − | 0.279129i | ||||
\(631\) | 17.5840 | + | 30.4564i | 0.700009 | + | 1.21245i | 0.968463 | + | 0.249158i | \(0.0801539\pi\) |
−0.268454 | + | 0.963293i | \(0.586513\pi\) | |||||||
\(632\) | 17.7381i | 0.705585i | ||||||||
\(633\) | 44.9907 | − | 25.9754i | 1.78822 | − | 1.03243i | ||||
\(634\) | 4.76764 | − | 8.25780i | 0.189347 | − | 0.327959i | ||||
\(635\) | 20.0653 | + | 4.15310i | 0.796269 | + | 0.164811i | ||||
\(636\) | −65.3098 | −2.58970 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 3.22150i | 0.127540i | ||||||||
\(639\) | −11.1364 | + | 19.2887i | −0.440547 | + | 0.763051i | ||||
\(640\) | 20.1130 | + | 4.16297i | 0.795036 | + | 0.164556i | ||||
\(641\) | −2.76257 | − | 4.78491i | −0.109115 | − | 0.188993i | 0.806297 | − | 0.591511i | \(-0.201468\pi\) |
−0.915412 | + | 0.402518i | \(0.868135\pi\) | |||||||
\(642\) | 7.63594i | 0.301367i | ||||||||
\(643\) | 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 | ||||
\(645\) | −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 | \(-0.420674\pi\) |
−0.715953 | + | 0.698149i | \(0.754007\pi\) | |||||||
\(648\) | −4.13609 | − | 2.38797i | −0.162481 | − | 0.0938085i | ||||
\(649\) | −8.22905 | −0.323019 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −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 | \(-0.386533\pi\) |
−0.637100 | + | 0.770781i | \(0.719866\pi\) | |||||||
\(654\) | 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 | 0.902715 | − | 0.430239i | \(-0.141571\pi\) |
−0.823956 | + | 0.566654i | \(0.808237\pi\) | |||||||
\(660\) | −36.1685 | − | 7.48611i | −1.40786 | − | 0.291397i | ||||
\(661\) | 15.6364 | − | 27.0830i | 0.608184 | − | 1.05341i | −0.383356 | − | 0.923601i | \(-0.625232\pi\) |
0.991540 | − | 0.129805i | \(-0.0414350\pi\) | |||||||
\(662\) | − | 0.983609i | − | 0.0382290i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 11.0945 | 0.430551 | ||||||||
\(665\) | −9.14794 | − | 1.89343i | −0.354742 | − | 0.0734241i | ||||
\(666\) | −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 | ||||
\(670\) | −2.21795 | − | 1.97570i | −0.0856869 | − | 0.0763278i | ||||
\(671\) | −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 | \(-0.121204\pi\) |
0.142340 | + | 0.989818i | \(0.454537\pi\) | |||||||
\(674\) | 0.314906 | − | 0.545433i | 0.0121297 | − | 0.0210093i | ||||
\(675\) | −10.0000 | − | 13.4590i | −0.384900 | − | 0.518038i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 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 | ||||
\(680\) | 4.18822 | + | 3.73077i | 0.160611 | + | 0.143068i | ||||
\(681\) | −16.5891 | −0.635695 | ||||||||
\(682\) | 3.51629 | − | 2.03013i | 0.134646 | − | 0.0777377i | ||||
\(683\) | 22.3302 | − | 12.8923i | 0.854440 | − | 0.493311i | −0.00770647 | − | 0.999970i | \(-0.502453\pi\) |
0.862146 | + | 0.506659i | \(0.169120\pi\) | |||||||
\(684\) | 10.0000 | 0.382360 | ||||||||
\(685\) | −25.0595 | + | 28.1322i | −0.957473 | + | 1.07487i | ||||
\(686\) | 1.52782 | − | 2.64626i | 0.0583325 | − | 0.101035i | ||||
\(687\) | 62.9025 | + | 36.3168i | 2.39988 | + | 1.38557i | ||||
\(688\) | 29.3152i | 1.11763i | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −1.68362 | − | 5.08898i | −0.0640944 | − | 0.193734i | ||||
\(691\) | −0.0218318 | + | 0.0378138i | −0.000830522 | + | 0.00143851i | −0.866440 | − | 0.499281i | \(-0.833598\pi\) |
0.865610 | + | 0.500719i | \(0.166931\pi\) | |||||||
\(692\) | 14.3049 | + | 8.25894i | 0.543791 | + | 0.313958i | ||||
\(693\) | 40.0230 | − | 23.1073i | 1.52035 | − | 0.877774i | ||||
\(694\) | 4.18002 | 0.158671 | ||||||||
\(695\) | −1.71461 | − | 1.52734i | −0.0650390 | − | 0.0579352i | ||||
\(696\) | 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 | ||||
\(700\) | 31.4887 | − | 3.65016i | 1.19016 | − | 0.137963i | ||||
\(701\) | −14.5454 | −0.549373 | −0.274687 | − | 0.961534i | \(-0.588574\pi\) | ||||
−0.274687 | + | 0.961534i | \(0.588574\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.42785i | 0.0915679i | ||||||||
\(704\) | −8.91238 | + | 15.4367i | −0.335898 | + | 0.581792i | ||||
\(705\) | 8.38064 | − | 40.4903i | 0.315633 | − | 1.52495i | ||||
\(706\) | −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 | \(-0.286851\pi\) |
−0.989357 | + | 0.145511i | \(0.953517\pi\) | |||||||
\(710\) | 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 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 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 | 0.846351 | + | 0.532625i | \(0.178794\pi\) |
0.0380914 | + | 0.999274i | \(0.487872\pi\) | |||||||
\(720\) | −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 | ||||
\(725\) | −1.72723 | − | 14.9002i | −0.0641477 | − | 0.553380i | ||||
\(726\) | 0.206926 | − | 0.358406i | 0.00767973 | − | 0.0133017i | ||||
\(727\) | − | 34.0951i | − | 1.26452i | −0.774757 | − | 0.632259i | \(-0.782128\pi\) | ||
0.774757 | − | 0.632259i | \(-0.217872\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 42.8349 | 1.58648 | ||||||||
\(730\) | 0.819409 | − | 3.95890i | 0.0303277 | − | 0.146525i | ||||
\(731\) | −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 | \(0.0856327\pi\) | ||||
−0.964031 | + | 0.265790i | \(0.914367\pi\) | |||||||
\(734\) | −2.18270 | − | 3.78055i | −0.0805651 | − | 0.139543i | ||||
\(735\) | −16.9984 | + | 19.0827i | −0.626997 | + | 0.703877i | ||||
\(736\) | −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 | −0.353217 | − | 0.935541i | \(-0.614912\pi\) |
0.986811 | − | 0.161876i | \(-0.0517545\pi\) | |||||||
\(740\) | −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 | 0.979277 | − | 0.202526i | \(-0.0649150\pi\) |
0.314246 | + | 0.949342i | \(0.398248\pi\) | |||||||
\(744\) | 6.55021 | − | 11.3453i | 0.240142 | − | 0.415939i | ||||
\(745\) | −26.4674 | − | 23.5765i | −0.969690 | − | 0.863777i | ||||
\(746\) | −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 | ||||||||
\(750\) | −9.91748 | − | 0.881918i | −0.362135 | − | 0.0322031i | ||||
\(751\) | −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 | ||||
\(753\) | 51.2167i | 1.86644i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −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 | \(-0.409444\pi\) |
−0.690881 | + | 0.722969i | \(0.742777\pi\) | |||||||
\(758\) | −5.22286 | + | 3.01542i | −0.189703 | + | 0.109525i | ||||
\(759\) | 23.5185 | 0.853668 | ||||||||
\(760\) | 2.38496 | − | 2.67739i | 0.0865116 | − | 0.0971193i | ||||
\(761\) | −1.99493 | − | 3.45532i | −0.0723161 | − | 0.125255i | 0.827600 | − | 0.561318i | \(-0.189706\pi\) |
−0.899916 | + | 0.436063i | \(0.856372\pi\) | |||||||
\(762\) | − | 8.16070i | − | 0.295631i | ||||||
\(763\) | 24.6613 | − | 14.2382i | 0.892800 | − | 0.515458i | ||||
\(764\) | −24.1220 | + | 41.7805i | −0.872703 | + | 1.51157i | ||||
\(765\) | −18.1178 | − | 3.75001i | −0.655051 | − | 0.135582i | ||||
\(766\) | −0.476696 | −0.0172237 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 21.3847i | 0.771652i | ||||||||
\(769\) | −3.33343 | + | 5.77367i | −0.120207 | + | 0.208204i | −0.919849 | − | 0.392272i | \(-0.871689\pi\) |
0.799642 | + | 0.600476i | \(0.205022\pi\) | |||||||
\(770\) | 1.63205 | − | 7.88512i | 0.0588151 | − | 0.284160i | ||||
\(771\) | −2.84181 | − | 4.92216i | −0.102345 | − | 0.177267i | ||||
\(772\) | − | 37.4720i | − | 1.34865i | ||||||
\(773\) | −41.8593 | + | 24.1675i | −1.50557 | + | 0.869244i | −0.505595 | + | 0.862771i | \(0.668727\pi\) |
−0.999979 | + | 0.00647254i | \(0.997940\pi\) | |||||||
\(774\) | 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 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −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 | −0.865074 | − | 0.501643i | \(-0.832729\pi\) |
0.00189876 | + | 0.999998i | \(0.499396\pi\) | |||||||
\(788\) | − | 40.9341i | − | 1.45822i | ||||||
\(789\) | −40.2658 | − | 69.7424i | −1.43350 | − | 2.48290i | ||||
\(790\) | −9.98328 | − | 2.06633i | −0.355189 | − | 0.0735167i | ||||
\(791\) | −12.2945 | + | 21.2948i | −0.437144 | + | 0.757155i | ||||
\(792\) | 17.7381i | 0.630297i | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −5.65488 | −0.200684 | ||||||||
\(795\) | 15.6564 | − | 75.6426i | 0.555277 | − | 2.68277i | ||||
\(796\) | 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 | \(0.562607\pi\) | |||||||
\(798\) | 3.72052i | 0.131705i | ||||||||
\(799\) | −6.69377 | − | 11.5939i | −0.236808 | − | 0.410164i | ||||
\(800\) | −7.31249 | + | 16.9080i | −0.258535 | + | 0.597789i | ||||
\(801\) | −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 | 0 | ||||||||
\(807\) | − | 50.0382i | − | 1.76143i | ||||||
\(808\) | 6.36548 | + | 3.67511i | 0.223937 | + | 0.129290i | ||||
\(809\) | 7.26434 | − | 12.5822i | 0.255400 | − | 0.442367i | −0.709604 | − | 0.704601i | \(-0.751126\pi\) |
0.965004 | + | 0.262234i | \(0.0844594\pi\) | |||||||
\(810\) | 1.82580 | − | 2.04968i | 0.0641522 | − | 0.0720183i | ||||
\(811\) | −44.0538 | −1.54694 | −0.773469 | − | 0.633834i | \(-0.781480\pi\) | ||||
−0.773469 | + | 0.633834i | \(0.781480\pi\) | |||||||
\(812\) | 16.4716 | − | 9.50986i | 0.578039 | − | 0.333731i | ||||
\(813\) | −13.5785 | + | 7.83955i | −0.476219 | + | 0.274945i | ||||
\(814\) | −2.09269 | −0.0733489 | ||||||||
\(815\) | −6.21373 | + | 6.97563i | −0.217657 | + | 0.244346i | ||||
\(816\) | −8.80054 | + | 15.2430i | −0.308080 | + | 0.533611i | ||||
\(817\) | 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 | \(0.0103351\pi\) | |||||||
\(822\) | 12.9943 | + | 7.50229i | 0.453230 | + | 0.261672i | ||||
\(823\) | −34.2914 | + | 19.7981i | −1.19532 | + | 0.690120i | −0.959509 | − | 0.281679i | \(-0.909109\pi\) |
−0.235814 | + | 0.971798i | \(0.575775\pi\) | |||||||
\(824\) | 9.48442 | 0.330405 | ||||||||
\(825\) | 17.3410 | − | 40.0962i | 0.603737 | − | 1.39597i | ||||
\(826\) | −1.40639 | − | 2.43594i | −0.0489345 | − | 0.0847571i | ||||
\(827\) | − | 26.5639i | − | 0.923716i | −0.886954 | − | 0.461858i | \(-0.847183\pi\) | ||
0.886954 | − | 0.461858i | \(-0.152817\pi\) | |||||||
\(828\) | 18.7121 | − | 10.8034i | 0.650290 | − | 0.375445i | ||||
\(829\) | 6.99162 | − | 12.1098i | 0.242829 | − | 0.420592i | −0.718690 | − | 0.695331i | \(-0.755258\pi\) |
0.961519 | + | 0.274738i | \(0.0885913\pi\) | |||||||
\(830\) | −1.29241 | + | 6.24416i | −0.0448602 | + | 0.216738i | ||||
\(831\) | 36.4480 | 1.26437 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 8.27427i | 0.286686i | ||||||||
\(834\) | −0.457254 | + | 0.791986i | −0.0158334 | + | 0.0274242i | ||||
\(835\) | −7.34297 | − | 1.51984i | −0.254114 | − | 0.0525962i | ||||
\(836\) | 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 | \(-0.246595\pi\) |
−0.963102 | + | 0.269138i | \(0.913261\pi\) | |||||||
\(840\) | −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 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −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 | \(0.154571\pi\) | ||||
−0.884395 | + | 0.466739i | \(0.845429\pi\) | |||||||
\(854\) | −4.15580 | − | 7.19806i | −0.142209 | − | 0.246312i | ||||
\(855\) | −2.39726 | + | 11.5821i | −0.0819845 | + | 0.396101i | ||||
\(856\) | −5.51823 | + | 9.55786i | −0.188609 | + | 0.326681i | ||||
\(857\) | 50.6201i | 1.72915i | 0.502503 | + | 0.864575i | \(0.332413\pi\) | ||||
−0.502503 | + | 0.864575i | \(0.667587\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.27992 | −0.0436702 | −0.0218351 | − | 0.999762i | \(-0.506951\pi\) | ||||
−0.0218351 | + | 0.999762i | \(0.506951\pi\) | |||||||
\(860\) | −36.1685 | − | 7.48611i | −1.23333 | − | 0.255274i | ||||
\(861\) | 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 | \(-0.954420\pi\) | ||
0.989765 | − | 0.142706i | \(-0.0455802\pi\) | |||||||
\(864\) | 6.17763 | + | 10.7000i | 0.210167 | + | 0.364020i | ||||
\(865\) | −12.9949 | + | 14.5882i | −0.441839 | + | 0.496015i | ||||
\(866\) | −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 | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 10.9299i | 0.370132i | ||||||||
\(873\) | 19.3632 | + | 11.1794i | 0.655347 | + | 0.378365i | ||||
\(874\) | −0.554726 | + | 0.960814i | −0.0187639 | + | 0.0325000i | ||||
\(875\) | −3.32098 | + | 37.3456i | −0.112270 | + | 1.26251i | ||||
\(876\) | 27.8109 | 0.939645 | ||||||||
\(877\) | −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 | ||||
\(879\) | 36.2051 | 1.22117 | ||||||||
\(880\) | −18.1839 | − | 16.1978i | −0.612978 | − | 0.546026i | ||||
\(881\) | −12.5975 | + | 21.8195i | −0.424420 | + | 0.735116i | −0.996366 | − | 0.0851746i | \(-0.972855\pi\) |
0.571946 | + | 0.820291i | \(0.306189\pi\) | |||||||
\(882\) | 5.16494 | + | 2.98198i | 0.173913 | + | 0.100408i | ||||
\(883\) | − | 30.7868i | − | 1.03606i | −0.855363 | − | 0.518029i | \(-0.826666\pi\) | ||
0.855363 | − | 0.518029i | \(-0.173334\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −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 | \(-0.400480\pi\) |
−0.670250 | + | 0.742136i | \(0.733813\pi\) | |||||||
\(888\) | −5.84746 | + | 3.37603i | −0.196228 | + | 0.113292i | ||||
\(889\) | −30.7302 | −1.03066 | ||||||||
\(890\) | −5.07628 | + | 5.69872i | −0.170157 | + | 0.191021i | ||||
\(891\) | 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 | ||||
\(895\) | −8.16243 | + | 39.4360i | −0.272840 | + | 1.31820i | ||||
\(896\) | −30.8032 | −1.02906 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 8.20739i | 0.273884i | ||||||||
\(899\) | −5.67164 | + | 9.82357i | −0.189160 | + | 0.327634i | ||||
\(900\) | −4.62144 | − | 39.8676i | −0.154048 | − | 1.32892i | ||||
\(901\) | −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 | \(-0.556759\pi\) |
−0.940979 | + | 0.338466i | \(0.890092\pi\) | |||||||
\(908\) | −10.0901 | − | 5.82555i | −0.334853 | − | 0.193328i | ||||
\(909\) | −24.2458 | −0.804183 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 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 | 0.873314 | − | 0.487157i | \(-0.161966\pi\) |
−0.858547 | + | 0.512734i | \(0.828633\pi\) | |||||||
\(920\) | 1.57025 | − | 7.58654i | 0.0517697 | − | 0.250121i | ||||
\(921\) | 33.1196 | − | 57.3648i | 1.09133 | − | 1.89024i | ||||
\(922\) | − | 4.08361i | − | 0.134486i | ||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 55.3923 | 1.82227 | ||||||||
\(925\) | 9.67923 | − | 1.12201i | 0.318251 | − | 0.0368916i | ||||
\(926\) | 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 | \(-0.102052\pi\) |
−0.747443 | + | 0.664326i | \(0.768718\pi\) | |||||||
\(930\) | 5.62226 | + | 5.00818i | 0.184361 | + | 0.164225i | ||||
\(931\) | 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 | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 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 | ||||
\(940\) | 19.3163 | − | 21.6848i | 0.630029 | − | 0.707280i | ||||
\(941\) | 55.8887 | 1.82192 | 0.910960 | − | 0.412495i | \(-0.135342\pi\) | ||||
0.910960 | + | 0.412495i | \(0.135342\pi\) | |||||||
\(942\) | 8.42264 | − | 4.86282i | 0.274425 | − | 0.158439i | ||||
\(943\) | 6.48321 | − | 3.74308i | 0.211122 | − | 0.121891i | ||||
\(944\) | −8.50655 | −0.276864 | ||||||||
\(945\) | 18.7770 | + | 16.7261i | 0.610817 | + | 0.544102i | ||||
\(946\) | −4.69108 | + | 8.12520i | −0.152520 | + | 0.264173i | ||||
\(947\) | 1.64231 | + | 0.948188i | 0.0533679 | + | 0.0308120i | 0.526447 | − | 0.850208i | \(-0.323524\pi\) |
−0.473079 | + | 0.881020i | \(0.656857\pi\) | |||||||
\(948\) | − | 70.1318i | − | 2.27777i | ||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 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 | \(-0.483176\pi\) |
0.891230 | + | 0.453551i | \(0.149843\pi\) | |||||||
\(954\) | −18.0269 | −0.583643 | ||||||||
\(955\) | −42.6081 | − | 37.9543i | −1.37877 | − | 1.22817i | ||||
\(956\) | −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 | ||||
\(960\) | −32.3683 | − | 6.69956i | −1.04468 | − | 0.216227i | ||||
\(961\) | −16.7033 | −0.538817 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 36.4054i | − | 1.17315i | ||||||
\(964\) | 21.4518 | − | 37.1556i | 0.690917 | − | 1.19670i | ||||
\(965\) | 43.4005 | + | 8.98300i | 1.39711 | + | 0.289173i | ||||
\(966\) | 4.01944 | + | 6.96188i | 0.129323 | + | 0.223995i | ||||
\(967\) | − | 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 | ||||
\(969\) | 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 | 0.721148 | − | 0.692781i | \(-0.243615\pi\) |
−0.960540 | + | 0.278143i | \(0.910281\pi\) | |||||||
\(972\) | 32.8246 | + | 18.9513i | 1.05285 | + | 0.607862i | ||||
\(973\) | 2.98233 | + | 1.72185i | 0.0956092 | + | 0.0552000i | ||||
\(974\) | 12.2040 | 0.391041 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −25.1364 | −0.804595 | ||||||||
\(977\) | 20.2339 | + | 11.6821i | 0.647341 | + | 0.373742i | 0.787437 | − | 0.616396i | \(-0.211408\pi\) |
−0.140096 | + | 0.990138i | \(0.544741\pi\) | |||||||
\(978\) | 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 | \(-0.973007\pi\) | ||
0.996406 | − | 0.0847003i | \(-0.0269933\pi\) | |||||||
\(984\) | 4.81785 | + | 8.34476i | 0.153587 | + | 0.266021i | ||||
\(985\) | 47.4104 | + | 9.81295i | 1.51062 | + | 0.312667i | ||||
\(986\) | −0.967105 | + | 1.67508i | −0.0307989 | + | 0.0533453i | ||||
\(987\) | 62.0112i | 1.97384i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 23.5185 | 0.747846 | ||||||||
\(990\) | −9.98328 | − | 2.06633i | −0.317289 | − | 0.0656723i | ||||
\(991\) | 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 | ||||
\(993\) | 8.00299i | 0.253967i | ||||||||
\(994\) | −2.90999 | − | 5.04025i | −0.0922993 | − | 0.159867i | ||||
\(995\) | 30.4369 | + | 27.1125i | 0.964915 | + | 0.859523i | ||||
\(996\) | −43.8648 | −1.38991 | ||||||||
\(997\) | −17.6755 | + | 10.2050i | −0.559790 | + | 0.323195i | −0.753061 | − | 0.657951i | \(-0.771424\pi\) |
0.193271 | + | 0.981145i | \(0.438090\pi\) | |||||||
\(998\) | 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 \(a_p\))