Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(654,845)]
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, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.654");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.l (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 654.5 | ||
Character | \(\chi\) | \(=\) | 845.654 |
Dual form | 845.2.l.f.699.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.165418 | + | 0.286513i | −0.116968 | + | 0.202595i | −0.918565 | − | 0.395270i | \(-0.870651\pi\) |
0.801597 | + | 0.597865i | \(0.203984\pi\) | |||||||
\(3\) | −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 | ||||
\(5\) | 0.702335 | + | 2.12291i | 0.314094 | + | 0.949392i | ||||
\(6\) | 0.771236 | − | 0.445274i | 0.314856 | − | 0.181782i | ||||
\(7\) | 1.67674 | + | 2.90420i | 0.633748 | + | 1.09768i | 0.986779 | + | 0.162072i | \(0.0518176\pi\) |
−0.353031 | + | 0.935611i | \(0.614849\pi\) | |||||||
\(8\) | −1.28714 | −0.455071 | ||||||||
\(9\) | 2.12291 | + | 3.67698i | 0.707635 | + | 1.22566i | ||||
\(10\) | −0.724419 | − | 0.149939i | −0.229081 | − | 0.0474150i | ||||
\(11\) | 2.81095 | + | 1.62291i | 0.847535 | + | 0.489324i | 0.859818 | − | 0.510600i | \(-0.170577\pi\) |
−0.0122837 | + | 0.999925i | \(0.503910\pi\) | |||||||
\(12\) | − | 5.08898i | − | 1.46906i | ||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −1.10945 | −0.296514 | ||||||||
\(15\) | 1.21996 | − | 5.89413i | 0.314992 | − | 1.52186i | ||||
\(16\) | −1.67763 | + | 2.90574i | −0.419408 | + | 0.726436i | ||||
\(17\) | 1.68772 | − | 0.974404i | 0.409332 | − | 0.236328i | −0.281171 | − | 0.959658i | \(-0.590723\pi\) |
0.690503 | + | 0.723330i | \(0.257389\pi\) | |||||||
\(18\) | −1.40467 | −0.331084 | ||||||||
\(19\) | −1.07890 | + | 0.622905i | −0.247517 | + | 0.142904i | −0.618627 | − | 0.785685i | \(-0.712311\pi\) |
0.371110 | + | 0.928589i | \(0.378977\pi\) | |||||||
\(20\) | −2.81185 | + | 3.15663i | −0.628750 | + | 0.705844i | ||||
\(21\) | − | 9.02690i | − | 1.96983i | ||||||
\(22\) | −0.929966 | + | 0.536916i | −0.198269 | + | 0.114471i | ||||
\(23\) | −2.33117 | − | 1.34590i | −0.486083 | − | 0.280640i | 0.236865 | − | 0.971543i | \(-0.423880\pi\) |
−0.722948 | + | 0.690903i | \(0.757213\pi\) | |||||||
\(24\) | 3.00053 | + | 1.73236i | 0.612481 | + | 0.353616i | ||||
\(25\) | −4.01345 | + | 2.98198i | −0.802690 | + | 0.596396i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 3.35348i | − | 0.645377i | ||||||
\(28\) | −3.16995 | + | 5.49052i | −0.599065 | + | 1.03761i | ||||
\(29\) | 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 | ||||
\(31\) | − | 3.78109i | − | 0.679105i | −0.940587 | − | 0.339552i | \(-0.889724\pi\) | ||
0.940587 | − | 0.339552i | \(-0.110276\pi\) | |||||||
\(32\) | −1.84216 | − | 3.19071i | −0.325650 | − | 0.564043i | ||||
\(33\) | −4.36854 | − | 7.56654i | −0.760466 | − | 1.31717i | ||||
\(34\) | 0.644737i | 0.110571i | ||||||||
\(35\) | −4.98770 | + | 5.59927i | −0.843076 | + | 0.946450i | ||||
\(36\) | −4.01345 | + | 6.95150i | −0.668909 | + | 1.15858i | ||||
\(37\) | 0.974404 | − | 1.68772i | 0.160191 | − | 0.277459i | −0.774746 | − | 0.632273i | \(-0.782122\pi\) |
0.934937 | + | 0.354813i | \(0.115456\pi\) | |||||||
\(38\) | − | 0.412160i | − | 0.0668611i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.904000 | − | 2.73247i | −0.142935 | − | 0.432041i | ||||
\(41\) | 2.40850 | + | 1.39055i | 0.376144 | + | 0.217167i | 0.676139 | − | 0.736774i | \(-0.263652\pi\) |
−0.299995 | + | 0.953941i | \(0.596985\pi\) | |||||||
\(42\) | 2.58632 | + | 1.49321i | 0.399078 | + | 0.230408i | ||||
\(43\) | −7.56654 | + | 4.36854i | −1.15389 | + | 0.666197i | −0.949831 | − | 0.312763i | \(-0.898745\pi\) |
−0.204055 | + | 0.978959i | \(0.565412\pi\) | |||||||
\(44\) | 6.13636i | 0.925091i | ||||||||
\(45\) | −6.31489 | + | 7.08920i | −0.941368 | + | 1.05679i | ||||
\(46\) | 0.771236 | − | 0.445274i | 0.113713 | − | 0.0656520i | ||||
\(47\) | 6.86960 | 1.00203 | 0.501017 | − | 0.865437i | \(-0.332959\pi\) | ||||
0.501017 | + | 0.865437i | \(0.332959\pi\) | |||||||
\(48\) | 7.82169 | − | 4.51586i | 1.12896 | − | 0.651808i | ||||
\(49\) | −2.12291 | + | 3.67698i | −0.303272 | + | 0.525283i | ||||
\(50\) | −0.190477 | − | 1.64318i | −0.0269375 | − | 0.232381i | ||||
\(51\) | −5.24581 | −0.734560 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 12.8336i | 1.76282i | 0.472347 | + | 0.881412i | \(0.343407\pi\) | ||||
−0.472347 | + | 0.881412i | \(0.656593\pi\) | |||||||
\(54\) | 0.960814 | + | 0.554726i | 0.130750 | + | 0.0754887i | ||||
\(55\) | −1.47104 | + | 7.10721i | −0.198355 | + | 0.958336i | ||||
\(56\) | −2.15819 | − | 3.73809i | −0.288400 | − | 0.499524i | ||||
\(57\) | 3.35348 | 0.444179 | ||||||||
\(58\) | 0.496255 | + | 0.859539i | 0.0651614 | + | 0.112863i | ||||
\(59\) | 2.19562 | − | 1.26764i | 0.285845 | − | 0.165033i | −0.350221 | − | 0.936667i | \(-0.613894\pi\) |
0.636067 | + | 0.771634i | \(0.280560\pi\) | |||||||
\(60\) | 10.8034 | − | 3.57417i | 1.39472 | − | 0.461423i | ||||
\(61\) | 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 | ||||
\(63\) | −7.11911 | + | 12.3307i | −0.896924 | + | 1.55352i | ||||
\(64\) | −5.49162 | −0.686453 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.89055 | 0.355802 | ||||||||
\(67\) | 2.00758 | − | 3.47722i | 0.245264 | − | 0.424810i | −0.716942 | − | 0.697133i | \(-0.754459\pi\) |
0.962206 | + | 0.272323i | \(0.0877919\pi\) | |||||||
\(68\) | 3.19071 | + | 1.84216i | 0.386930 | + | 0.223394i | ||||
\(69\) | 3.62291 | + | 6.27506i | 0.436147 | + | 0.755428i | ||||
\(70\) | −0.779207 | − | 2.35526i | −0.0931331 | − | 0.281508i | ||||
\(71\) | −4.54300 | + | 2.62291i | −0.539155 | + | 0.311282i | −0.744737 | − | 0.667359i | \(-0.767425\pi\) |
0.205581 | + | 0.978640i | \(0.434092\pi\) | |||||||
\(72\) | −2.73247 | − | 4.73277i | −0.322024 | − | 0.557762i | ||||
\(73\) | −5.46493 | −0.639622 | −0.319811 | − | 0.947481i | \(-0.603619\pi\) | ||||
−0.319811 | + | 0.947481i | \(0.603619\pi\) | |||||||
\(74\) | 0.322368 | + | 0.558359i | 0.0374746 | + | 0.0649079i | ||||
\(75\) | 13.3695 | − | 1.54979i | 1.54378 | − | 0.178954i | ||||
\(76\) | −2.03972 | − | 1.17763i | −0.233972 | − | 0.135084i | ||||
\(77\) | 10.8848i | 1.24043i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −13.7811 | −1.55049 | −0.775247 | − | 0.631658i | \(-0.782375\pi\) | ||||
−0.775247 | + | 0.631658i | \(0.782375\pi\) | |||||||
\(80\) | −7.34688 | − | 1.52065i | −0.821406 | − | 0.170014i | ||||
\(81\) | 1.85526 | − | 3.21341i | 0.206140 | − | 0.357046i | ||||
\(82\) | −0.796819 | + | 0.460044i | −0.0879940 | + | 0.0508033i | ||||
\(83\) | −8.61955 | −0.946119 | −0.473059 | − | 0.881031i | \(-0.656850\pi\) | ||||
−0.473059 | + | 0.881031i | \(0.656850\pi\) | |||||||
\(84\) | 14.7794 | − | 8.53289i | 1.61257 | − | 0.931015i | ||||
\(85\) | 3.25391 | + | 2.89851i | 0.352936 | + | 0.314387i | ||||
\(86\) | − | 2.89055i | − | 0.311696i | ||||||
\(87\) | −6.99351 | + | 4.03771i | −0.749783 | + | 0.432888i | ||||
\(88\) | −3.61808 | − | 2.08890i | −0.385688 | − | 0.222677i | ||||
\(89\) | 8.93425 | + | 5.15819i | 0.947028 | + | 0.546767i | 0.892156 | − | 0.451726i | \(-0.149192\pi\) |
0.0548717 | + | 0.998493i | \(0.482525\pi\) | |||||||
\(90\) | −0.986548 | − | 2.98198i | −0.103991 | − | 0.314328i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | − | 5.08898i | − | 0.530563i | ||||||
\(93\) | −5.08898 | + | 8.81438i | −0.527703 | + | 0.914008i | ||||
\(94\) | −1.13636 | + | 1.96823i | −0.117206 | + | 0.203007i | ||||
\(95\) | −2.08012 | − | 1.85292i | −0.213416 | − | 0.190106i | ||||
\(96\) | 9.91745i | 1.01220i | ||||||||
\(97\) | 2.63304 | + | 4.56055i | 0.267344 | + | 0.463054i | 0.968175 | − | 0.250273i | \(-0.0805205\pi\) |
−0.700831 | + | 0.713328i | \(0.747187\pi\) | |||||||
\(98\) | −0.702335 | − | 1.21648i | −0.0709465 | − | 0.122883i | ||||
\(99\) | 13.7811i | 1.38505i | ||||||||
\(100\) | −8.67609 | − | 3.75229i | −0.867609 | − | 0.375229i | ||||
\(101\) | 2.85526 | − | 4.94546i | 0.284109 | − | 0.492092i | −0.688283 | − | 0.725442i | \(-0.741635\pi\) |
0.972393 | + | 0.233350i | \(0.0749688\pi\) | |||||||
\(102\) | 0.867753 | − | 1.50299i | 0.0859203 | − | 0.148818i | ||||
\(103\) | − | 7.36863i | − | 0.726052i | −0.931779 | − | 0.363026i | \(-0.881744\pi\) | ||
0.931779 | − | 0.363026i | \(-0.118256\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 19.1633 | − | 6.33991i | 1.87014 | − | 0.618712i | ||||
\(106\) | −3.67698 | − | 2.12291i | −0.357140 | − | 0.206195i | ||||
\(107\) | −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 | ||||
\(109\) | − | 8.49162i | − | 0.813350i | −0.913573 | − | 0.406675i | \(-0.866688\pi\) | ||
0.913573 | − | 0.406675i | \(-0.133312\pi\) | |||||||
\(110\) | −1.79297 | − | 1.59714i | −0.170953 | − | 0.152281i | ||||
\(111\) | −4.54300 | + | 2.62291i | −0.431203 | + | 0.248955i | ||||
\(112\) | −11.2518 | −1.06320 | ||||||||
\(113\) | 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 | ||||
\(115\) | 1.21996 | − | 5.89413i | 0.113762 | − | 0.549630i | ||||
\(116\) | 5.67164 | 0.526599 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.838765i | 0.0772145i | ||||||||
\(119\) | 5.65972 | + | 3.26764i | 0.518826 | + | 0.299544i | ||||
\(120\) | −1.57025 | + | 7.58654i | −0.143344 | + | 0.692553i | ||||
\(121\) | −0.232358 | − | 0.402456i | −0.0211234 | − | 0.0365869i | ||||
\(122\) | −2.47850 | −0.224393 | ||||||||
\(123\) | −3.74308 | − | 6.48321i | −0.337502 | − | 0.584571i | ||||
\(124\) | 6.19064 | − | 3.57417i | 0.555936 | − | 0.320970i | ||||
\(125\) | −9.14925 | − | 6.42583i | −0.818333 | − | 0.574744i | ||||
\(126\) | −2.35526 | − | 4.07944i | −0.209824 | − | 0.363425i | ||||
\(127\) | −7.93599 | − | 4.58185i | −0.704205 | − | 0.406573i | 0.104707 | − | 0.994503i | \(-0.466610\pi\) |
−0.808912 | + | 0.587930i | \(0.799943\pi\) | |||||||
\(128\) | 4.59273 | − | 7.95484i | 0.405944 | − | 0.703115i | ||||
\(129\) | 23.5185 | 2.07069 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.0000 | 0.873704 | 0.436852 | − | 0.899533i | \(-0.356093\pi\) | ||||
0.436852 | + | 0.899533i | \(0.356093\pi\) | |||||||
\(132\) | 8.25894 | − | 14.3049i | 0.718848 | − | 1.24508i | ||||
\(133\) | −3.61808 | − | 2.08890i | −0.313727 | − | 0.181130i | ||||
\(134\) | 0.664179 | + | 1.15039i | 0.0573763 | + | 0.0993787i | ||||
\(135\) | 7.11911 | − | 2.35526i | 0.612716 | − | 0.202709i | ||||
\(136\) | −2.17232 | + | 1.25419i | −0.186275 | + | 0.107546i | ||||
\(137\) | 8.42435 | + | 14.5914i | 0.719741 | + | 1.24663i | 0.961102 | + | 0.276193i | \(0.0890729\pi\) |
−0.241361 | + | 0.970435i | \(0.577594\pi\) | |||||||
\(138\) | −2.39718 | −0.204061 | ||||||||
\(139\) | −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 | ||||
\(141\) | −16.0142 | − | 9.24581i | −1.34864 | − | 0.778638i | ||||
\(142\) | − | 1.73551i | − | 0.145640i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −14.2458 | −1.18715 | ||||||||
\(145\) | 6.56897 | + | 1.35964i | 0.545523 | + | 0.112912i | ||||
\(146\) | 0.904000 | − | 1.56577i | 0.0748155 | − | 0.129584i | ||||
\(147\) | 9.89771 | − | 5.71445i | 0.816349 | − | 0.471319i | ||||
\(148\) | 3.68431 | 0.302849 | ||||||||
\(149\) | 13.7279 | − | 7.92583i | 1.12464 | − | 0.649309i | 0.182056 | − | 0.983288i | \(-0.441725\pi\) |
0.942581 | + | 0.333979i | \(0.108391\pi\) | |||||||
\(150\) | −1.76752 | + | 4.08690i | −0.144318 | + | 0.333694i | ||||
\(151\) | 14.5454i | 1.18369i | 0.806052 | + | 0.591845i | \(0.201600\pi\) | ||||
−0.806052 | + | 0.591845i | \(0.798400\pi\) | |||||||
\(152\) | 1.38869 | − | 0.801763i | 0.112638 | − | 0.0650316i | ||||
\(153\) | 7.16573 | + | 4.13713i | 0.579315 | + | 0.334468i | ||||
\(154\) | −3.11862 | − | 1.80054i | −0.251306 | − | 0.145091i | ||||
\(155\) | 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 | \(0.856468\pi\) | |||||||
\(158\) | 2.27964 | − | 3.94846i | 0.181359 | − | 0.314123i | ||||
\(159\) | 17.2727 | − | 29.9172i | 1.36982 | − | 2.37259i | ||||
\(160\) | 5.47976 | − | 6.15167i | 0.433213 | − | 0.486332i | ||||
\(161\) | − | 9.02690i | − | 0.711420i | ||||||
\(162\) | 0.613789 | + | 1.06311i | 0.0482238 | + | 0.0835261i | ||||
\(163\) | 2.08890 | + | 3.61808i | 0.163615 | + | 0.283390i | 0.936163 | − | 0.351567i | \(-0.114351\pi\) |
−0.772547 | + | 0.634957i | \(0.781018\pi\) | |||||||
\(164\) | 5.25779i | 0.410564i | ||||||||
\(165\) | 12.9949 | − | 14.5882i | 1.01165 | − | 1.13569i | ||||
\(166\) | 1.42583 | − | 2.46961i | 0.110666 | − | 0.191679i | ||||
\(167\) | −1.67674 | + | 2.90420i | −0.129750 | + | 0.224733i | −0.923580 | − | 0.383407i | \(-0.874751\pi\) |
0.793830 | + | 0.608140i | \(0.208084\pi\) | |||||||
\(168\) | 11.6188i | 0.896413i | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −1.36872 | + | 0.452821i | −0.104976 | + | 0.0347298i | ||||
\(171\) | −4.58082 | − | 2.64474i | −0.350304 | − | 0.202248i | ||||
\(172\) | −14.3049 | − | 8.25894i | −1.09074 | − | 0.629738i | ||||
\(173\) | 7.56654 | − | 4.36854i | 0.575273 | − | 0.332134i | −0.183979 | − | 0.982930i | \(-0.558898\pi\) |
0.759253 | + | 0.650796i | \(0.225565\pi\) | |||||||
\(174\) | − | 2.67164i | − | 0.202537i | ||||||
\(175\) | −15.3898 | − | 6.65585i | −1.16336 | − | 0.503135i | ||||
\(176\) | −9.43149 | + | 5.44527i | −0.710925 | + | 0.410453i | ||||
\(177\) | −6.82449 | −0.512960 | ||||||||
\(178\) | −2.95577 | + | 1.70652i | −0.221545 | + | 0.127909i | ||||
\(179\) | 9.00507 | − | 15.5972i | 0.673071 | − | 1.16579i | −0.303958 | − | 0.952685i | \(-0.598308\pi\) |
0.977029 | − | 0.213107i | \(-0.0683584\pi\) | |||||||
\(180\) | −17.5762 | − | 3.63790i | −1.31005 | − | 0.271153i | ||||
\(181\) | −1.04366 | −0.0775749 | −0.0387875 | − | 0.999247i | \(-0.512350\pi\) | ||||
−0.0387875 | + | 0.999247i | \(0.512350\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 20.1660i | − | 1.49071i | ||||||
\(184\) | 3.00053 | + | 1.73236i | 0.221202 | + | 0.127711i | ||||
\(185\) | 4.26722 | + | 0.883225i | 0.313732 | + | 0.0649360i | ||||
\(186\) | −1.68362 | − | 2.91612i | −0.123449 | − | 0.213820i | ||||
\(187\) | 6.32546 | 0.462564 | ||||||||
\(188\) | 6.49365 | + | 11.2473i | 0.473598 | + | 0.820296i | ||||
\(189\) | 9.73916 | − | 5.62291i | 0.708419 | − | 0.409006i | ||||
\(190\) | 0.874976 | − | 0.289474i | 0.0634774 | − | 0.0210006i | ||||
\(191\) | −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 | ||||
\(193\) | 9.91035 | − | 17.1652i | 0.713362 | − | 1.23558i | −0.250225 | − | 0.968188i | \(-0.580505\pi\) |
0.963588 | − | 0.267392i | \(-0.0861619\pi\) | |||||||
\(194\) | −1.74221 | −0.125083 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.02690 | −0.573350 | ||||||||
\(197\) | −10.8260 | + | 18.7512i | −0.771319 | + | 1.33596i | 0.165521 | + | 0.986206i | \(0.447070\pi\) |
−0.936840 | + | 0.349758i | \(0.886264\pi\) | |||||||
\(198\) | −3.94846 | − | 2.27964i | −0.280605 | − | 0.162007i | ||||
\(199\) | −9.11453 | − | 15.7868i | −0.646112 | − | 1.11910i | −0.984044 | − | 0.177928i | \(-0.943061\pi\) |
0.337932 | − | 0.941171i | \(-0.390273\pi\) | |||||||
\(200\) | 5.16586 | − | 3.83821i | 0.365281 | − | 0.271402i | ||||
\(201\) | −9.36000 | + | 5.40400i | −0.660204 | + | 0.381169i | ||||
\(202\) | 0.944625 | + | 1.63614i | 0.0664636 | + | 0.115118i | ||||
\(203\) | 10.0604 | 0.706104 | ||||||||
\(204\) | −4.95873 | − | 8.58877i | −0.347180 | − | 0.601334i | ||||
\(205\) | −1.26043 | + | 6.08964i | −0.0880321 | + | 0.425319i | ||||
\(206\) | 2.11121 | + | 1.21891i | 0.147095 | + | 0.0849252i | ||||
\(207\) | − | 11.4289i | − | 0.794363i | ||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.04366 | −0.279706 | ||||||||
\(210\) | −1.35349 | + | 6.53926i | −0.0933996 | + | 0.451252i | ||||
\(211\) | −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 | ||||
\(213\) | 14.1207 | 0.967534 | ||||||||
\(214\) | 2.45669 | − | 1.41837i | 0.167936 | − | 0.0969577i | ||||
\(215\) | −14.5882 | − | 12.9949i | −0.994910 | − | 0.886242i | ||||
\(216\) | 4.31638i | 0.293692i | ||||||||
\(217\) | 10.9810 | − | 6.33991i | 0.745442 | − | 0.430381i | ||||
\(218\) | 2.43296 | + | 1.40467i | 0.164781 | + | 0.0951362i | ||||
\(219\) | 12.7397 | + | 7.35526i | 0.860868 | + | 0.497023i | ||||
\(220\) | −13.0269 | + | 4.30978i | −0.878274 | + | 0.290565i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | − | 1.73551i | − | 0.116480i | ||||||
\(223\) | 6.18537 | − | 10.7134i | 0.414203 | − | 0.717421i | −0.581141 | − | 0.813803i | \(-0.697394\pi\) |
0.995344 | + | 0.0963818i | \(0.0307270\pi\) | |||||||
\(224\) | 6.17763 | − | 10.7000i | 0.412760 | − | 0.714922i | ||||
\(225\) | −19.4849 | − | 8.42692i | −1.29899 | − | 0.561795i | ||||
\(226\) | 2.42583i | 0.161364i | ||||||||
\(227\) | 3.08141 | + | 5.33715i | 0.204520 | + | 0.354239i | 0.949980 | − | 0.312311i | \(-0.101103\pi\) |
−0.745460 | + | 0.666551i | \(0.767770\pi\) | |||||||
\(228\) | 3.16995 | + | 5.49052i | 0.209935 | + | 0.363619i | ||||
\(229\) | 26.9832i | 1.78310i | 0.452920 | + | 0.891551i | \(0.350382\pi\) | ||||
−0.452920 | + | 0.891551i | \(0.649618\pi\) | |||||||
\(230\) | 1.48694 | + | 1.32453i | 0.0980459 | + | 0.0873370i | ||||
\(231\) | 14.6498 | − | 25.3742i | 0.963887 | − | 1.66950i | ||||
\(232\) | −1.93070 | + | 3.34408i | −0.126757 | + | 0.219549i | ||||
\(233\) | 0.824319i | 0.0540029i | 0.999635 | + | 0.0270015i | \(0.00859588\pi\) | ||||
−0.999635 | + | 0.0270015i | \(0.991404\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.82476 | + | 14.5835i | 0.314733 | + | 0.951323i | ||||
\(236\) | 4.15092 | + | 2.39654i | 0.270202 | + | 0.156001i | ||||
\(237\) | 32.1261 | + | 18.5480i | 2.08681 | + | 1.20482i | ||||
\(238\) | −1.87244 | + | 1.08106i | −0.121372 | + | 0.0700744i | ||||
\(239\) | 4.00000i | 0.258738i | 0.991596 | + | 0.129369i | \(0.0412952\pi\) | ||||
−0.991596 | + | 0.129369i | \(0.958705\pi\) | |||||||
\(240\) | 15.0802 | + | 13.4331i | 0.973421 | + | 0.867101i | ||||
\(241\) | 19.6534 | − | 11.3469i | 1.26599 | − | 0.730917i | 0.291760 | − | 0.956492i | \(-0.405759\pi\) |
0.974226 | + | 0.225575i | \(0.0724260\pi\) | |||||||
\(242\) | 0.153745 | 0.00988310 | ||||||||
\(243\) | −17.3625 | + | 10.0242i | −1.11380 | + | 0.643054i | ||||
\(244\) | −7.08163 | + | 12.2657i | −0.453355 | + | 0.785234i | ||||
\(245\) | −9.29687 | − | 1.92426i | −0.593955 | − | 0.122936i | ||||
\(246\) | 2.47670 | 0.157908 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 4.86678i | 0.309041i | ||||||||
\(249\) | 20.0936 | + | 11.6011i | 1.27338 | + | 0.735188i | ||||
\(250\) | 3.35454 | − | 1.55843i | 0.212159 | − | 0.0985635i | ||||
\(251\) | 9.51345 | + | 16.4778i | 0.600484 | + | 1.04007i | 0.992748 | + | 0.120216i | \(0.0383586\pi\) |
−0.392264 | + | 0.919853i | \(0.628308\pi\) | |||||||
\(252\) | −26.9180 | −1.69568 | ||||||||
\(253\) | −4.36854 | − | 7.56654i | −0.274648 | − | 0.475704i | ||||
\(254\) | 2.62552 | − | 1.51584i | 0.164739 | − | 0.0951124i | ||||
\(255\) | −3.68431 | − | 11.1364i | −0.230721 | − | 0.697386i | ||||
\(256\) | −3.97218 | − | 6.88001i | −0.248261 | − | 0.430001i | ||||
\(257\) | −1.82857 | − | 1.05573i | −0.114063 | − | 0.0658544i | 0.441883 | − | 0.897073i | \(-0.354311\pi\) |
−0.555946 | + | 0.831218i | \(0.687644\pi\) | |||||||
\(258\) | −3.89039 | + | 6.73836i | −0.242205 | + | 0.419512i | ||||
\(259\) | 6.53528 | 0.406083 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 12.7374 | 0.788427 | ||||||||
\(262\) | −1.65418 | + | 2.86513i | −0.102196 | + | 0.177008i | ||||
\(263\) | 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 | ||||
\(265\) | −27.2444 | + | 9.01345i | −1.67361 | + | 0.553692i | ||||
\(266\) | 1.19699 | − | 0.691084i | 0.0733923 | − | 0.0423731i | ||||
\(267\) | −13.8848 | − | 24.0492i | −0.849738 | − | 1.47179i | ||||
\(268\) | 7.59083 | 0.463684 | ||||||||
\(269\) | 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 | ||||
\(271\) | −5.04439 | − | 2.91238i | −0.306425 | − | 0.176914i | 0.338901 | − | 0.940822i | \(-0.389945\pi\) |
−0.645326 | + | 0.763908i | \(0.723278\pi\) | |||||||
\(272\) | 6.53876i | 0.396471i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.57417 | −0.336748 | ||||||||
\(275\) | −16.1211 | + | 1.86875i | −0.972139 | + | 0.112690i | ||||
\(276\) | −6.84927 | + | 11.8633i | −0.412278 | + | 0.714086i | ||||
\(277\) | 11.7263 | − | 6.77017i | 0.704564 | − | 0.406780i | −0.104481 | − | 0.994527i | \(-0.533318\pi\) |
0.809045 | + | 0.587747i | \(0.199985\pi\) | |||||||
\(278\) | 0.339738 | 0.0203761 | ||||||||
\(279\) | 13.9030 | − | 8.02690i | 0.832351 | − | 0.480558i | ||||
\(280\) | 6.41985 | − | 7.20702i | 0.383659 | − | 0.430702i | ||||
\(281\) | − | 0.464716i | − | 0.0277226i | −0.999904 | − | 0.0138613i | \(-0.995588\pi\) | ||
0.999904 | − | 0.0138613i | \(-0.00441233\pi\) | |||||||
\(282\) | 5.29809 | − | 3.05885i | 0.315496 | − | 0.182152i | ||||
\(283\) | 8.71259 | + | 5.03022i | 0.517910 | + | 0.299015i | 0.736079 | − | 0.676896i | \(-0.236675\pi\) |
−0.218169 | + | 0.975911i | \(0.570009\pi\) | |||||||
\(284\) | −8.58877 | − | 4.95873i | −0.509649 | − | 0.294246i | ||||
\(285\) | 2.35526 | + | 7.11911i | 0.139514 | + | 0.421700i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 9.32634i | 0.550516i | ||||||||
\(288\) | 7.82145 | − | 13.5471i | 0.460883 | − | 0.798273i | ||||
\(289\) | −6.60107 | + | 11.4334i | −0.388298 | + | 0.672553i | ||||
\(290\) | −1.47618 | + | 1.65719i | −0.0866844 | + | 0.0973133i | ||||
\(291\) | − | 14.1752i | − | 0.830967i | ||||||
\(292\) | −5.16586 | − | 8.94752i | −0.302309 | − | 0.523614i | ||||
\(293\) | 6.72506 | + | 11.6481i | 0.392882 | + | 0.680492i | 0.992828 | − | 0.119548i | \(-0.0381447\pi\) |
−0.599946 | + | 0.800040i | \(0.704811\pi\) | |||||||
\(294\) | 3.78109i | 0.220518i | ||||||||
\(295\) | 4.23314 | + | 3.77079i | 0.246463 | + | 0.219544i | ||||
\(296\) | −1.25419 | + | 2.17232i | −0.0728983 | + | 0.126264i | ||||
\(297\) | 5.44238 | − | 9.42647i | 0.315799 | − | 0.546979i | ||||
\(298\) | 5.24431i | 0.303795i | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 15.1752 | + | 20.4244i | 0.876143 | + | 1.17920i | ||||
\(301\) | −25.3742 | − | 14.6498i | −1.46255 | − | 0.844401i | ||||
\(302\) | −4.16745 | − | 2.40608i | −0.239810 | − | 0.138454i | ||||
\(303\) | −13.3122 | + | 7.68581i | −0.764767 | + | 0.441538i | ||||
\(304\) | − | 4.18002i | − | 0.239741i | ||||||
\(305\) | −11.1425 | + | 12.5087i | −0.638015 | + | 0.716246i | ||||
\(306\) | −2.37068 | + | 1.36872i | −0.135523 | + | 0.0782442i | ||||
\(307\) | 24.6077 | 1.40444 | 0.702219 | − | 0.711961i | \(-0.252193\pi\) | ||||
0.702219 | + | 0.711961i | \(0.252193\pi\) | |||||||
\(308\) | −17.8212 | + | 10.2891i | −1.01546 | + | 0.586274i | ||||
\(309\) | −9.91745 | + | 17.1775i | −0.564184 | + | 0.977196i | ||||
\(310\) | −0.566935 | + | 2.73909i | −0.0321997 | + | 0.155570i | ||||
\(311\) | −2.43781 | −0.138236 | −0.0691178 | − | 0.997609i | \(-0.522018\pi\) | ||||
−0.0691178 | + | 0.997609i | \(0.522018\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 19.2965i | − | 1.09071i | −0.838207 | − | 0.545353i | \(-0.816396\pi\) | ||
0.838207 | − | 0.545353i | \(-0.183604\pi\) | |||||||
\(314\) | −3.12900 | − | 1.80653i | −0.176579 | − | 0.101948i | ||||
\(315\) | −31.1768 | − | 6.45295i | −1.75662 | − | 0.363583i | ||||
\(316\) | −13.0269 | − | 22.5633i | −0.732821 | − | 1.26928i | ||||
\(317\) | 28.8217 | 1.61879 | 0.809395 | − | 0.587265i | \(-0.199795\pi\) | ||||
0.809395 | + | 0.587265i | \(0.199795\pi\) | |||||||
\(318\) | 5.71445 | + | 9.89771i | 0.320450 | + | 0.555036i | ||||
\(319\) | 8.43286 | − | 4.86872i | 0.472150 | − | 0.272596i | ||||
\(320\) | −3.85695 | − | 11.6582i | −0.215610 | − | 0.651713i | ||||
\(321\) | 11.5404 | + | 19.9885i | 0.644120 | + | 1.11565i | ||||
\(322\) | 2.58632 | + | 1.49321i | 0.144130 | + | 0.0832136i | ||||
\(323\) | −1.21392 | + | 2.10258i | −0.0675445 | + | 0.116990i | ||||
\(324\) | 7.01492 | 0.389718 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −1.38217 | −0.0765512 | ||||||||
\(327\) | −11.4289 | + | 19.7954i | −0.632019 | + | 1.09469i | ||||
\(328\) | −3.10006 | − | 1.78982i | −0.171172 | − | 0.0988264i | ||||
\(329\) | 11.5185 | + | 19.9507i | 0.635037 | + | 1.09992i | ||||
\(330\) | 2.03013 | + | 6.13636i | 0.111755 | + | 0.337795i | ||||
\(331\) | 2.57478 | − | 1.48655i | 0.141522 | − | 0.0817081i | −0.427567 | − | 0.903984i | \(-0.640629\pi\) |
0.569089 | + | 0.822276i | \(0.307296\pi\) | |||||||
\(332\) | −8.14783 | − | 14.1125i | −0.447171 | − | 0.774522i | ||||
\(333\) | 8.27427 | 0.453427 | ||||||||
\(334\) | −0.554726 | − | 0.960814i | −0.0303533 | − | 0.0525734i | ||||
\(335\) | 8.79180 | + | 1.81972i | 0.480347 | + | 0.0994218i | ||||
\(336\) | 26.2299 | + | 15.1438i | 1.43096 | + | 0.826163i | ||||
\(337\) | 1.90370i | 0.103701i | 0.998655 | + | 0.0518505i | \(0.0165119\pi\) | ||||
−0.998655 | + | 0.0518505i | \(0.983488\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −19.7374 | −1.07199 | ||||||||
\(340\) | −1.66978 | + | 8.06738i | −0.0905565 | + | 0.437515i | ||||
\(341\) | 6.13636 | − | 10.6285i | 0.332302 | − | 0.575565i | ||||
\(342\) | 1.51550 | − | 0.874976i | 0.0819490 | − | 0.0473133i | ||||
\(343\) | 9.23611 | 0.498703 | ||||||||
\(344\) | 9.73916 | − | 5.62291i | 0.525100 | − | 0.303167i | ||||
\(345\) | −10.7769 | + | 12.0983i | −0.580206 | + | 0.651349i | ||||
\(346\) | 2.89055i | 0.155397i | ||||||||
\(347\) | 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 | ||||
\(349\) | 7.77093 | + | 4.48655i | 0.415968 | + | 0.240159i | 0.693351 | − | 0.720600i | \(-0.256134\pi\) |
−0.277383 | + | 0.960760i | \(0.589467\pi\) | |||||||
\(350\) | 4.45274 | − | 3.30837i | 0.238009 | − | 0.176840i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 11.9586i | − | 0.637395i | ||||||
\(353\) | 17.1252 | − | 29.6618i | 0.911484 | − | 1.57874i | 0.0995150 | − | 0.995036i | \(-0.468271\pi\) |
0.811969 | − | 0.583701i | \(-0.198396\pi\) | |||||||
\(354\) | 1.12890 | − | 1.95530i | 0.0600001 | − | 0.103923i | ||||
\(355\) | −8.75889 | − | 7.80221i | −0.464874 | − | 0.414098i | ||||
\(356\) | 19.5036i | 1.03369i | ||||||||
\(357\) | −8.79585 | − | 15.2349i | −0.465526 | − | 0.806315i | ||||
\(358\) | 2.97921 | + | 5.16014i | 0.157456 | + | 0.272722i | ||||
\(359\) | − | 22.4043i | − | 1.18245i | −0.806505 | − | 0.591227i | \(-0.798644\pi\) | ||
0.806505 | − | 0.591227i | \(-0.201356\pi\) | |||||||
\(360\) | 8.12812 | − | 9.12475i | 0.428389 | − | 0.480917i | ||||
\(361\) | −8.72398 | + | 15.1104i | −0.459157 | + | 0.795283i | ||||
\(362\) | 0.172641 | − | 0.299023i | 0.00907381 | − | 0.0157163i | ||||
\(363\) | 1.25092i | 0.0656565i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.83821 | − | 11.6015i | −0.200901 | − | 0.607252i | ||||
\(366\) | 5.77781 | + | 3.33582i | 0.302011 | + | 0.174366i | ||||
\(367\) | −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 | ||||
\(369\) | 11.8080i | 0.614700i | ||||||||
\(370\) | −0.958932 | + | 1.07651i | −0.0498525 | + | 0.0559652i | ||||
\(371\) | −37.2712 | + | 21.5185i | −1.93502 | + | 1.11719i | ||||
\(372\) | −19.2419 | −0.997647 | ||||||||
\(373\) | −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 | ||||
\(375\) | 12.6799 | + | 27.2937i | 0.654788 | + | 1.40944i | ||||
\(376\) | −8.84210 | −0.455997 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 3.72052i | 0.191363i | ||||||||
\(379\) | −15.7868 | − | 9.11453i | −0.810915 | − | 0.468182i | 0.0363588 | − | 0.999339i | \(-0.488424\pi\) |
−0.847273 | + | 0.531157i | \(0.821757\pi\) | |||||||
\(380\) | 1.06744 | − | 5.15722i | 0.0547583 | − | 0.264560i | ||||
\(381\) | 12.3334 | + | 21.3621i | 0.631861 | + | 1.09442i | ||||
\(382\) | 8.44246 | 0.431954 | ||||||||
\(383\) | −0.720440 | − | 1.24784i | −0.0368128 | − | 0.0637616i | 0.847032 | − | 0.531542i | \(-0.178387\pi\) |
−0.883845 | + | 0.467780i | \(0.845054\pi\) | |||||||
\(384\) | −21.4129 | + | 12.3627i | −1.09272 | + | 0.630883i | ||||
\(385\) | −23.1073 | + | 7.64474i | −1.17766 | + | 0.389612i | ||||
\(386\) | 3.27870 | + | 5.67888i | 0.166882 | + | 0.289048i | ||||
\(387\) | −32.1261 | − | 18.5480i | −1.63306 | − | 0.942848i | ||||
\(388\) | −4.97788 | + | 8.62194i | −0.252714 | + | 0.437713i | ||||
\(389\) | −18.7912 | −0.952754 | −0.476377 | − | 0.879241i | \(-0.658050\pi\) | ||||
−0.476377 | + | 0.879241i | \(0.658050\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.24581 | −0.265292 | ||||||||
\(392\) | 2.73247 | − | 4.73277i | 0.138010 | − | 0.239041i | ||||
\(393\) | −23.3117 | − | 13.4590i | −1.17592 | − | 0.678918i | ||||
\(394\) | −3.58163 | − | 6.20357i | −0.180440 | − | 0.312531i | ||||
\(395\) | −9.67894 | − | 29.2560i | −0.487000 | − | 1.47203i | ||||
\(396\) | −22.5633 | + | 13.0269i | −1.13385 | + | 0.654627i | ||||
\(397\) | 8.54634 | + | 14.8027i | 0.428928 | + | 0.742926i | 0.996778 | − | 0.0802063i | \(-0.0255579\pi\) |
−0.567850 | + | 0.823132i | \(0.692225\pi\) | |||||||
\(398\) | 6.03084 | 0.302298 | ||||||||
\(399\) | 5.62291 | + | 9.73916i | 0.281497 | + | 0.487568i | ||||
\(400\) | −1.93177 | − | 16.6647i | −0.0965886 | − | 0.833236i | ||||
\(401\) | −19.2276 | − | 11.1011i | −0.960182 | − | 0.554361i | −0.0639527 | − | 0.997953i | \(-0.520371\pi\) |
−0.896229 | + | 0.443592i | \(0.853704\pi\) | |||||||
\(402\) | − | 3.57568i | − | 0.178339i | ||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 10.7960 | 0.537122 | ||||||||
\(405\) | 8.12478 | + | 1.68166i | 0.403724 | + | 0.0835623i | ||||
\(406\) | −1.66418 | + | 2.88244i | −0.0825918 | + | 0.143053i | ||||
\(407\) | 5.47801 | − | 3.16273i | 0.271535 | − | 0.156771i | ||||
\(408\) | 6.75207 | 0.334277 | ||||||||
\(409\) | −8.34221 | + | 4.81638i | −0.412496 | + | 0.238155i | −0.691862 | − | 0.722030i | \(-0.743209\pi\) |
0.279366 | + | 0.960185i | \(0.409876\pi\) | |||||||
\(410\) | −1.53626 | − | 1.36847i | −0.0758706 | − | 0.0675838i | ||||
\(411\) | − | 45.3534i | − | 2.23712i | ||||||
\(412\) | 12.0644 | − | 6.96537i | 0.594369 | − | 0.343159i | ||||
\(413\) | 7.36296 | + | 4.25101i | 0.362308 | + | 0.209178i | ||||
\(414\) | 3.27452 | + | 1.89055i | 0.160934 | + | 0.0929153i | ||||
\(415\) | −6.05381 | − | 18.2985i | −0.297170 | − | 0.898238i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.76423i | 0.135365i | ||||||||
\(418\) | 0.668896 | − | 1.15856i | 0.0327168 | − | 0.0566671i | ||||
\(419\) | −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 | ||||
\(421\) | 12.0807i | 0.588778i | 0.955686 | + | 0.294389i | \(0.0951161\pi\) | ||||
−0.955686 | + | 0.294389i | \(0.904884\pi\) | |||||||
\(422\) | −3.19251 | − | 5.52959i | −0.155409 | − | 0.269176i | ||||
\(423\) | 14.5835 | + | 25.2594i | 0.709075 | + | 1.22815i | ||||
\(424\) | − | 16.5185i | − | 0.802210i | ||||||
\(425\) | −3.86792 | + | 8.94346i | −0.187622 | + | 0.433822i | ||||
\(426\) | −2.33582 | + | 4.04576i | −0.113171 | + | 0.196018i | ||||
\(427\) | −12.5615 | + | 21.7571i | −0.607893 | + | 1.05290i | ||||
\(428\) | − | 16.2104i | − | 0.783558i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 6.13636 | − | 2.03013i | 0.295921 | − | 0.0979016i | ||||
\(431\) | 21.2948 | + | 12.2945i | 1.02573 | + | 0.592207i | 0.915759 | − | 0.401727i | \(-0.131590\pi\) |
0.109974 | + | 0.993934i | \(0.464923\pi\) | |||||||
\(432\) | 9.74434 | + | 5.62590i | 0.468825 | + | 0.270676i | ||||
\(433\) | 31.2400 | − | 18.0364i | 1.50130 | − | 0.866775i | 0.501299 | − | 0.865274i | \(-0.332856\pi\) |
0.999999 | − | 0.00150085i | \(-0.000477735\pi\) | |||||||
\(434\) | 4.19495i | 0.201364i | ||||||||
\(435\) | −13.4835 | − | 12.0107i | −0.646482 | − | 0.575871i | ||||
\(436\) | 13.9030 | − | 8.02690i | 0.665833 | − | 0.384419i | ||||
\(437\) | 3.35348 | 0.160419 | ||||||||
\(438\) | −4.21475 | + | 2.43339i | −0.201389 | + | 0.116272i | ||||
\(439\) | −1.26764 | + | 2.19562i | −0.0605013 | + | 0.104791i | −0.894690 | − | 0.446688i | \(-0.852603\pi\) |
0.834188 | + | 0.551480i | \(0.185937\pi\) | |||||||
\(440\) | 1.89343 | − | 9.14794i | 0.0902658 | − | 0.436111i | ||||
\(441\) | −18.0269 | −0.858424 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 19.3579i | − | 0.919721i | −0.887991 | − | 0.459860i | \(-0.847899\pi\) | ||
0.887991 | − | 0.459860i | \(-0.152101\pi\) | |||||||
\(444\) | −8.58877 | − | 4.95873i | −0.407605 | − | 0.235331i | ||||
\(445\) | −4.67552 | + | 22.5893i | −0.221641 | + | 1.07084i | ||||
\(446\) | 2.04635 | + | 3.54438i | 0.0968973 | + | 0.167831i | ||||
\(447\) | −42.6696 | −2.01820 | ||||||||
\(448\) | −9.20801 | − | 15.9487i | −0.435038 | − | 0.753507i | ||||
\(449\) | 21.4844 | − | 12.4040i | 1.01391 | − | 0.585381i | 0.101576 | − | 0.994828i | \(-0.467612\pi\) |
0.912334 | + | 0.409447i | \(0.134278\pi\) | |||||||
\(450\) | 5.63757 | − | 4.18869i | 0.265758 | − | 0.197457i | ||||
\(451\) | 4.51345 | + | 7.81753i | 0.212530 | + | 0.368113i | ||||
\(452\) | 12.0051 | + | 6.93114i | 0.564672 | + | 0.326013i | ||||
\(453\) | 19.5767 | − | 33.9079i | 0.919795 | − | 1.59313i | ||||
\(454\) | −2.03888 | −0.0956896 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −4.31638 | −0.202133 | ||||||||
\(457\) | 3.78374 | − | 6.55363i | 0.176996 | − | 0.306566i | −0.763854 | − | 0.645389i | \(-0.776695\pi\) |
0.940850 | + | 0.338823i | \(0.110029\pi\) | |||||||
\(458\) | −7.73105 | − | 4.46352i | −0.361248 | − | 0.208567i | ||||
\(459\) | −3.26764 | − | 5.65972i | −0.152520 | − | 0.264173i | ||||
\(460\) | 10.8034 | − | 3.57417i | 0.503712 | − | 0.166646i | ||||
\(461\) | 10.6896 | − | 6.17164i | 0.497864 | − | 0.287442i | −0.229967 | − | 0.973198i | \(-0.573862\pi\) |
0.727831 | + | 0.685756i | \(0.240528\pi\) | |||||||
\(462\) | 4.84669 | + | 8.39472i | 0.225489 | + | 0.390558i | ||||
\(463\) | −22.8578 | −1.06229 | −0.531146 | − | 0.847281i | \(-0.678238\pi\) | ||||
−0.531146 | + | 0.847281i | \(0.678238\pi\) | |||||||
\(464\) | 5.03289 | + | 8.71723i | 0.233646 | + | 0.404687i | ||||
\(465\) | −22.2863 | − | 4.61279i | −1.03350 | − | 0.213913i | ||||
\(466\) | −0.236178 | − | 0.136357i | −0.0109407 | − | 0.00631664i | ||||
\(467\) | − | 15.2976i | − | 0.707889i | −0.935266 | − | 0.353945i | \(-0.884840\pi\) | ||
0.935266 | − | 0.353945i | \(-0.115160\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.4647 | 0.621743 | ||||||||
\(470\) | −4.97647 | − | 1.03002i | −0.229547 | − | 0.0475115i | ||||
\(471\) | 14.6985 | − | 25.4586i | 0.677273 | − | 1.17307i | ||||
\(472\) | −2.82606 | + | 1.63163i | −0.130080 | + | 0.0751017i | ||||
\(473\) | −28.3589 | −1.30394 | ||||||||
\(474\) | −10.6285 | + | 6.13636i | −0.488182 | + | 0.281852i | ||||
\(475\) | 2.47264 | − | 5.71727i | 0.113452 | − | 0.262326i | ||||
\(476\) | 12.3553i | 0.566303i | ||||||||
\(477\) | −47.1887 | + | 27.2444i | −2.16062 | + | 1.24744i | ||||
\(478\) | −1.14605 | − | 0.661673i | −0.0524192 | − | 0.0302642i | ||||
\(479\) | 21.0296 | + | 12.1414i | 0.960866 | + | 0.554756i | 0.896439 | − | 0.443166i | \(-0.146145\pi\) |
0.0644264 | + | 0.997922i | \(0.479478\pi\) | |||||||
\(480\) | −21.0538 | + | 6.96537i | −0.960971 | + | 0.317924i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 7.50793i | 0.341977i | ||||||||
\(483\) | −12.1493 | + | 21.0433i | −0.552814 | + | 0.957501i | ||||
\(484\) | 0.439284 | − | 0.760862i | 0.0199674 | − | 0.0345846i | ||||
\(485\) | −7.83235 | + | 8.79272i | −0.355649 | + | 0.399257i | ||||
\(486\) | − | 6.63276i | − | 0.300868i | ||||||
\(487\) | 18.4441 | + | 31.9462i | 0.835783 | + | 1.44762i | 0.893391 | + | 0.449280i | \(0.148319\pi\) |
−0.0576081 | + | 0.998339i | \(0.518347\pi\) | |||||||
\(488\) | −4.82136 | − | 8.35085i | −0.218253 | − | 0.378025i | ||||
\(489\) | − | 11.2458i | − | 0.508553i | ||||||
\(490\) | 2.08920 | − | 2.34537i | 0.0943803 | − | 0.105953i | ||||
\(491\) | −17.6767 | + | 30.6170i | −0.797739 | + | 1.38172i | 0.123346 | + | 0.992364i | \(0.460637\pi\) |
−0.921085 | + | 0.389361i | \(0.872696\pi\) | |||||||
\(492\) | 7.07647 | − | 12.2568i | 0.319032 | − | 0.552580i | ||||
\(493\) | − | 5.84642i | − | 0.263310i | ||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −29.2560 | + | 9.67894i | −1.31496 | + | 0.435036i | ||||
\(496\) | 10.9869 | + | 6.34328i | 0.493326 | + | 0.284822i | ||||
\(497\) | −15.2349 | − | 8.79585i | −0.683377 | − | 0.394548i | ||||
\(498\) | −6.64771 | + | 3.83806i | −0.297891 | + | 0.171988i | ||||
\(499\) | 16.2189i | 0.726058i | 0.931778 | + | 0.363029i | \(0.118257\pi\) | ||||
−0.931778 | + | 0.363029i | \(0.881743\pi\) | |||||||
\(500\) | 1.87223 | − | 21.0539i | 0.0837286 | − | 0.941558i | ||||
\(501\) | 7.81753 | − | 4.51345i | 0.349261 | − | 0.201646i | ||||
\(502\) | −6.29480 | −0.280950 | ||||||||
\(503\) | 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 | ||||
\(505\) | 12.5041 | + | 2.58808i | 0.556425 | + | 0.115168i | ||||
\(506\) | 2.89055 | 0.128500 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | − | 17.3244i | − | 0.768646i | ||||||
\(509\) | 17.3526 | + | 10.0185i | 0.769140 | + | 0.444063i | 0.832568 | − | 0.553923i | \(-0.186870\pi\) |
−0.0634276 | + | 0.997986i | \(0.520203\pi\) | |||||||
\(510\) | 3.80016 | + | 0.786554i | 0.168274 | + | 0.0348292i | ||||
\(511\) | −9.16326 | − | 15.8712i | −0.405359 | − | 0.702102i | ||||
\(512\) | 20.9992 | 0.928042 | ||||||||
\(513\) | 2.08890 | + | 3.61808i | 0.0922271 | + | 0.159742i | ||||
\(514\) | 0.604959 | − | 0.349273i | 0.0266836 | − | 0.0154058i | ||||
\(515\) | 15.6429 | − | 5.17524i | 0.689308 | − | 0.228048i | ||||
\(516\) | 22.2314 | + | 38.5060i | 0.978685 | + | 1.69513i | ||||
\(517\) | 19.3101 | + | 11.1487i | 0.849259 | + | 0.490320i | ||||
\(518\) | −1.08106 | + | 1.87244i | −0.0474988 | + | 0.0822704i | ||||
\(519\) | −23.5185 | −1.03235 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 16.0269 | 0.702151 | 0.351076 | − | 0.936347i | \(-0.385816\pi\) | ||||
0.351076 | + | 0.936347i | \(0.385816\pi\) | |||||||
\(522\) | −2.10700 | + | 3.64944i | −0.0922210 | + | 0.159732i | ||||
\(523\) | 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 | ||||
\(525\) | 26.9180 | + | 36.2291i | 1.17480 | + | 1.58117i | ||||
\(526\) | −8.57170 | + | 4.94887i | −0.373744 | + | 0.215781i | ||||
\(527\) | −3.68431 | − | 6.38142i | −0.160491 | − | 0.277979i | ||||
\(528\) | 29.3152 | 1.27578 | ||||||||
\(529\) | −7.87709 | − | 13.6435i | −0.342482 | − | 0.593197i | ||||
\(530\) | 1.92426 | − | 9.29687i | 0.0835844 | − | 0.403830i | ||||
\(531\) | 9.32219 | + | 5.38217i | 0.404548 | + | 0.233566i | ||||
\(532\) | − | 7.89832i | − | 0.342436i | ||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 9.18722 | 0.397570 | ||||||||
\(535\) | 3.88605 | − | 18.7751i | 0.168008 | − | 0.811718i | ||||
\(536\) | −2.58402 | + | 4.47565i | −0.111613 | + | 0.193319i | ||||
\(537\) | −41.9847 | + | 24.2399i | −1.81177 | + | 1.04603i | ||||
\(538\) | −6.14995 | −0.265143 | ||||||||
\(539\) | −11.9348 | + | 6.89055i | −0.514067 | + | 0.296797i | ||||
\(540\) | 10.5857 | + | 9.42949i | 0.455536 | + | 0.405780i | ||||
\(541\) | − | 21.8080i | − | 0.937599i | −0.883305 | − | 0.468800i | \(-0.844687\pi\) | ||
0.883305 | − | 0.468800i | \(-0.155313\pi\) | |||||||
\(542\) | 1.66887 | − | 0.963521i | 0.0716840 | − | 0.0413868i | ||||
\(543\) | 2.43296 | + | 1.40467i | 0.104408 | + | 0.0602801i | ||||
\(544\) | −6.21808 | − | 3.59001i | −0.266598 | − | 0.153920i | ||||
\(545\) | 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 | \(0.956935\pi\) | |||||||
\(548\) | −15.9266 | + | 27.5858i | −0.680352 | + | 1.17840i | ||||
\(549\) | −15.9040 | + | 27.5465i | −0.678766 | + | 1.17566i | ||||
\(550\) | 2.13130 | − | 4.92803i | 0.0908790 | − | 0.210132i | ||||
\(551\) | 3.73743i | 0.159220i | ||||||||
\(552\) | −4.66317 | − | 8.07684i | −0.198478 | − | 0.343773i | ||||
\(553\) | −23.1073 | − | 40.0230i | −0.982622 | − | 1.70195i | ||||
\(554\) | 4.47964i | 0.190322i | ||||||||
\(555\) | −8.75889 | − | 7.80221i | −0.371794 | − | 0.331185i | ||||
\(556\) | 0.970706 | − | 1.68131i | 0.0411671 | − | 0.0713035i | ||||
\(557\) | −17.9189 | + | 31.0364i | −0.759247 | + | 1.31506i | 0.183987 | + | 0.982929i | \(0.441099\pi\) |
−0.943235 | + | 0.332126i | \(0.892234\pi\) | |||||||
\(558\) | 5.31119i | 0.224840i | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −7.90253 | − | 23.8865i | −0.333943 | − | 1.00939i | ||||
\(561\) | −14.7457 | − | 8.51345i | −0.622565 | − | 0.359438i | ||||
\(562\) | 0.133147 | + | 0.0768725i | 0.00561647 | + | 0.00324267i | ||||
\(563\) | −4.33196 | + | 2.50106i | −0.182570 | + | 0.105407i | −0.588500 | − | 0.808497i | \(-0.700281\pi\) |
0.405929 | + | 0.913904i | \(0.366948\pi\) | |||||||
\(564\) | − | 34.9593i | − | 1.47205i | ||||||
\(565\) | 12.2429 | + | 10.9057i | 0.515062 | + | 0.458805i | ||||
\(566\) | −2.88244 | + | 1.66418i | −0.121158 | + | 0.0699507i | ||||
\(567\) | 12.4432 | 0.522564 | ||||||||
\(568\) | 5.84746 | − | 3.37603i | 0.245354 | − | 0.141655i | ||||
\(569\) | 6.58402 | − | 11.4039i | 0.276017 | − | 0.478075i | −0.694375 | − | 0.719614i | \(-0.744319\pi\) |
0.970391 | + | 0.241539i | \(0.0776522\pi\) | |||||||
\(570\) | −2.42932 | − | 0.502818i | −0.101753 | − | 0.0210607i | ||||
\(571\) | −19.8349 | −0.830065 | −0.415032 | − | 0.909807i | \(-0.636230\pi\) | ||||
−0.415032 | + | 0.909807i | \(0.636230\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 68.6909i | 2.86960i | ||||||||
\(574\) | −2.67212 | − | 1.54275i | −0.111532 | − | 0.0643930i | ||||
\(575\) | 13.3695 | − | 1.54979i | 0.557547 | − | 0.0646307i | ||||
\(576\) | −11.6582 | − | 20.1926i | −0.485758 | − | 0.841357i | ||||
\(577\) | −10.9210 | −0.454646 | −0.227323 | − | 0.973819i | \(-0.572997\pi\) | ||||
−0.227323 | + | 0.973819i | \(0.572997\pi\) | |||||||
\(578\) | −2.18388 | − | 3.78258i | −0.0908373 | − | 0.157335i | ||||
\(579\) | −46.2054 | + | 26.6767i | −1.92023 | + | 1.10865i | ||||
\(580\) | 3.98339 | + | 12.0404i | 0.165401 | + | 0.499949i | ||||
\(581\) | −14.4527 | − | 25.0329i | −0.599601 | − | 1.03854i | ||||
\(582\) | 4.06139 | + | 2.34484i | 0.168350 | + | 0.0971969i | ||||
\(583\) | −20.8276 | + | 36.0745i | −0.862593 | + | 1.49406i | ||||
\(584\) | 7.03411 | 0.291073 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.44979 | −0.183819 | ||||||||
\(587\) | 20.2247 | − | 35.0303i | 0.834764 | − | 1.44585i | −0.0594576 | − | 0.998231i | \(-0.518937\pi\) |
0.894222 | − | 0.447624i | \(-0.147730\pi\) | |||||||
\(588\) | 18.7121 | + | 10.8034i | 0.771673 | + | 0.445526i | ||||
\(589\) | 2.35526 | + | 4.07944i | 0.0970469 | + | 0.168090i | ||||
\(590\) | −1.78062 | + | 0.589093i | −0.0733069 | + | 0.0242526i | ||||
\(591\) | 50.4744 | − | 29.1414i | 2.07624 | − | 1.19872i | ||||
\(592\) | 3.26938 | + | 5.66274i | 0.134371 | + | 0.232737i | ||||
\(593\) | −1.47709 | −0.0606569 | −0.0303284 | − | 0.999540i | \(-0.509655\pi\) | ||||
−0.0303284 | + | 0.999540i | \(0.509655\pi\) | |||||||
\(594\) | 1.80054 | + | 3.11862i | 0.0738769 | + | 0.127959i | ||||
\(595\) | −2.96188 | + | 14.3100i | −0.121425 | + | 0.586654i | ||||
\(596\) | 25.9533 | + | 14.9842i | 1.06309 | + | 0.613775i | ||||
\(597\) | 49.0690i | 2.00826i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −2.27271 | −0.0928606 | −0.0464303 | − | 0.998922i | \(-0.514785\pi\) | ||||
−0.0464303 | + | 0.998922i | \(0.514785\pi\) | |||||||
\(600\) | −17.2083 | + | 1.99479i | −0.702528 | + | 0.0814369i | ||||
\(601\) | −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 | ||||
\(603\) | 17.0476 | 0.694231 | ||||||||
\(604\) | −23.8147 | + | 13.7494i | −0.969005 | + | 0.559456i | ||||
\(605\) | 0.691182 | − | 0.775932i | 0.0281006 | − | 0.0315461i | ||||
\(606\) | − | 5.08549i | − | 0.206584i | ||||||
\(607\) | 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 | ||||
\(609\) | −23.4526 | − | 13.5404i | −0.950347 | − | 0.548683i | ||||
\(610\) | −1.74074 | − | 5.26162i | −0.0704804 | − | 0.213037i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 15.6429i | 0.632327i | ||||||||
\(613\) | −3.04075 | + | 5.26673i | −0.122815 | + | 0.212721i | −0.920877 | − | 0.389854i | \(-0.872525\pi\) |
0.798062 | + | 0.602575i | \(0.205859\pi\) | |||||||
\(614\) | −4.07057 | + | 7.05043i | −0.164275 | + | 0.284532i | ||||
\(615\) | 11.1343 | − | 12.4996i | 0.448980 | − | 0.504032i | ||||
\(616\) | − | 14.0101i | − | 0.564485i | ||||||
\(617\) | 15.9194 | + | 27.5732i | 0.640892 | + | 1.11006i | 0.985234 | + | 0.171213i | \(0.0547685\pi\) |
−0.344342 | + | 0.938844i | \(0.611898\pi\) | |||||||
\(618\) | −3.28106 | − | 5.68295i | −0.131983 | − | 0.228602i | ||||
\(619\) | 26.4043i | 1.06128i | 0.847598 | + | 0.530639i | \(0.178048\pi\) | ||||
−0.847598 | + | 0.530639i | \(0.821952\pi\) | |||||||
\(620\) | 11.9355 | + | 10.6319i | 0.479342 | + | 0.426987i | ||||
\(621\) | −4.51345 | + | 7.81753i | −0.181119 | + | 0.313707i | ||||
\(622\) | 0.403259 | − | 0.698464i | 0.0161692 | − | 0.0280059i | ||||
\(623\) | 34.5957i | 1.38605i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 7.21560 | − | 23.9361i | 0.288624 | − | 0.957443i | ||||
\(626\) | 5.52871 | + | 3.19200i | 0.220972 | + | 0.127578i | ||||
\(627\) | 9.42647 | + | 5.44238i | 0.376457 | + | 0.217348i | ||||
\(628\) | −17.8805 | + | 10.3233i | −0.713509 | + | 0.411944i | ||||
\(629\) | − | 3.79785i | − | 0.151430i | ||||||
\(630\) | 7.00607 | − | 7.86513i | 0.279129 | − | 0.313354i | ||||
\(631\) | 30.4564 | − | 17.5840i | 1.21245 | − | 0.700009i | 0.249158 | − | 0.968463i | \(-0.419846\pi\) |
0.963293 | + | 0.268454i | \(0.0865127\pi\) | |||||||
\(632\) | 17.7381 | 0.705585 | ||||||||
\(633\) | 44.9907 | − | 25.9754i | 1.78822 | − | 1.03243i | ||||
\(634\) | −4.76764 | + | 8.25780i | −0.189347 | + | 0.327959i | ||||
\(635\) | 4.15310 | − | 20.0653i | 0.164811 | − | 0.796269i | ||||
\(636\) | 65.3098 | 2.58970 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 3.22150i | 0.127540i | ||||||||
\(639\) | −19.2887 | − | 11.1364i | −0.763051 | − | 0.440547i | ||||
\(640\) | 20.1130 | + | 4.16297i | 0.795036 | + | 0.164556i | ||||
\(641\) | 2.76257 | + | 4.78491i | 0.109115 | + | 0.188993i | 0.915412 | − | 0.402518i | \(-0.131865\pi\) |
−0.806297 | + | 0.591511i | \(0.798532\pi\) | |||||||
\(642\) | −7.63594 | −0.301367 | ||||||||
\(643\) | 16.0776 | + | 27.8472i | 0.634039 | + | 1.09819i | 0.986718 | + | 0.162444i | \(0.0519375\pi\) |
−0.352679 | + | 0.935744i | \(0.614729\pi\) | |||||||
\(644\) | 14.7794 | − | 8.53289i | 0.582390 | − | 0.336243i | ||||
\(645\) | 16.5179 | + | 49.9276i | 0.650391 | + | 1.96590i | ||||
\(646\) | −0.401610 | − | 0.695609i | −0.0158011 | − | 0.0273684i | ||||
\(647\) | 11.9376 | + | 6.89216i | 0.469314 | + | 0.270959i | 0.715953 | − | 0.698149i | \(-0.245993\pi\) |
−0.246638 | + | 0.969108i | \(0.579326\pi\) | |||||||
\(648\) | −2.38797 | + | 4.13609i | −0.0938085 | + | 0.162481i | ||||
\(649\) | 8.22905 | 0.323019 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −34.1316 | −1.33772 | ||||||||
\(652\) | −3.94916 | + | 6.84015i | −0.154661 | + | 0.267881i | ||||
\(653\) | −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 | ||||
\(655\) | 7.02335 | + | 21.2291i | 0.274425 | + | 0.829488i | ||||
\(656\) | −8.08115 | + | 4.66565i | −0.315516 | + | 0.182163i | ||||
\(657\) | −11.6015 | − | 20.0944i | −0.452619 | − | 0.783959i | ||||
\(658\) | −7.62150 | −0.297117 | ||||||||
\(659\) | 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 | ||||
\(661\) | −27.0830 | − | 15.6364i | −1.05341 | − | 0.608184i | −0.129805 | − | 0.991540i | \(-0.541435\pi\) |
−0.923601 | + | 0.383356i | \(0.874768\pi\) | |||||||
\(662\) | 0.983609i | 0.0382290i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 11.0945 | 0.430551 | ||||||||
\(665\) | 1.89343 | − | 9.14794i | 0.0734241 | − | 0.354742i | ||||
\(666\) | −1.36872 | + | 2.37068i | −0.0530366 | + | 0.0918622i | ||||
\(667\) | −6.99351 | + | 4.03771i | −0.270790 | + | 0.156341i | ||||
\(668\) | −6.33991 | −0.245298 | ||||||||
\(669\) | −28.8383 | + | 16.6498i | −1.11495 | + | 0.643719i | ||||
\(670\) | −1.97570 | + | 2.21795i | −0.0763278 | + | 0.0856869i | ||||
\(671\) | 24.3164i | 0.938723i | ||||||||
\(672\) | −28.8022 | + | 16.6290i | −1.11107 | + | 0.641477i | ||||
\(673\) | −27.7768 | − | 16.0370i | −1.07072 | − | 0.618179i | −0.142340 | − | 0.989818i | \(-0.545463\pi\) |
−0.928377 | + | 0.371639i | \(0.878796\pi\) | |||||||
\(674\) | −0.545433 | − | 0.314906i | −0.0210093 | − | 0.0121297i | ||||
\(675\) | 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 | \(-0.0882177\pi\) | |||||||
\(678\) | 3.26493 | − | 5.65503i | 0.125389 | − | 0.217180i | ||||
\(679\) | −8.82983 | + | 15.2937i | −0.338858 | + | 0.586919i | ||||
\(680\) | −4.18822 | − | 3.73077i | −0.160611 | − | 0.143068i | ||||
\(681\) | − | 16.5891i | − | 0.635695i | ||||||
\(682\) | 2.03013 | + | 3.51629i | 0.0777377 | + | 0.134646i | ||||
\(683\) | −12.8923 | − | 22.3302i | −0.493311 | − | 0.854440i | 0.506659 | − | 0.862146i | \(-0.330880\pi\) |
−0.999970 | + | 0.00770647i | \(0.997547\pi\) | |||||||
\(684\) | − | 10.0000i | − | 0.382360i | ||||||
\(685\) | −25.0595 | + | 28.1322i | −0.957473 | + | 1.07487i | ||||
\(686\) | −1.52782 | + | 2.64626i | −0.0583325 | + | 0.101035i | ||||
\(687\) | 36.3168 | − | 62.9025i | 1.38557 | − | 2.39988i | ||||
\(688\) | − | 29.3152i | − | 1.11763i | ||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −1.68362 | − | 5.08898i | −0.0640944 | − | 0.193734i | ||||
\(691\) | −0.0378138 | − | 0.0218318i | −0.00143851 | − | 0.000830522i | 0.499281 | − | 0.866440i | \(-0.333598\pi\) |
−0.500719 | + | 0.865610i | \(0.666931\pi\) | |||||||
\(692\) | 14.3049 | + | 8.25894i | 0.543791 | + | 0.313958i | ||||
\(693\) | −40.0230 | + | 23.1073i | −1.52035 | + | 0.877774i | ||||
\(694\) | 4.18002i | 0.158671i | ||||||||
\(695\) | 1.52734 | − | 1.71461i | 0.0579352 | − | 0.0650390i | ||||
\(696\) | 9.00160 | − | 5.19707i | 0.341205 | − | 0.196995i | ||||
\(697\) | 5.41982 | 0.205290 | ||||||||
\(698\) | −2.57091 | + | 1.48431i | −0.0973103 | + | 0.0561821i | ||||
\(699\) | 1.10945 | − | 1.92163i | 0.0419634 | − | 0.0726827i | ||||
\(700\) | −3.65016 | − | 31.4887i | −0.137963 | − | 1.19016i | ||||
\(701\) | 14.5454 | 0.549373 | 0.274687 | − | 0.961534i | \(-0.411426\pi\) | ||||
0.274687 | + | 0.961534i | \(0.411426\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.42785i | 0.0915679i | ||||||||
\(704\) | −15.4367 | − | 8.91238i | −0.581792 | − | 0.335898i | ||||
\(705\) | 8.38064 | − | 40.4903i | 0.315633 | − | 1.52495i | ||||
\(706\) | 5.66565 | + | 9.81320i | 0.213230 | + | 0.369325i | ||||
\(707\) | 19.1501 | 0.720214 | ||||||||
\(708\) | −6.45101 | − | 11.1735i | −0.242444 | − | 0.419925i | ||||
\(709\) | −17.0025 | + | 9.81638i | −0.638541 | + | 0.368662i | −0.784052 | − | 0.620695i | \(-0.786851\pi\) |
0.145511 | + | 0.989357i | \(0.453517\pi\) | |||||||
\(710\) | 3.68431 | − | 1.21891i | 0.138270 | − | 0.0457447i | ||||
\(711\) | −29.2560 | − | 50.6728i | −1.09718 | − | 1.90038i | ||||
\(712\) | −11.4996 | − | 6.63929i | −0.430965 | − | 0.248818i | ||||
\(713\) | −5.08898 | + | 8.81438i | −0.190584 | + | 0.330101i | ||||
\(714\) | 5.81998 | 0.217807 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 34.0490 | 1.27247 | ||||||||
\(717\) | 5.38361 | − | 9.32468i | 0.201055 | − | 0.348237i | ||||
\(718\) | 6.41912 | + | 3.70608i | 0.239559 | + | 0.138310i | ||||
\(719\) | −23.7156 | − | 41.0766i | −0.884443 | − | 1.53190i | −0.846351 | − | 0.532625i | \(-0.821206\pi\) |
−0.0380914 | − | 0.999274i | \(-0.512128\pi\) | |||||||
\(720\) | −10.0053 | − | 30.2425i | −0.372876 | − | 1.12707i | ||||
\(721\) | 21.3999 | − | 12.3553i | 0.796976 | − | 0.460134i | ||||
\(722\) | −2.88621 | − | 4.99906i | −0.107414 | − | 0.186046i | ||||
\(723\) | −61.0872 | −2.27186 | ||||||||
\(724\) | −0.986548 | − | 1.70875i | −0.0366648 | − | 0.0635052i | ||||
\(725\) | 1.72723 | + | 14.9002i | 0.0641477 | + | 0.553380i | ||||
\(726\) | −0.358406 | − | 0.206926i | −0.0133017 | − | 0.00767973i | ||||
\(727\) | 34.0951i | 1.26452i | 0.774757 | + | 0.632259i | \(0.217872\pi\) | ||||
−0.774757 | + | 0.632259i | \(0.782128\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 42.8349 | 1.58648 | ||||||||
\(730\) | 3.95890 | + | 0.819409i | 0.146525 | + | 0.0303277i | ||||
\(731\) | −8.51345 | + | 14.7457i | −0.314881 | + | 0.545391i | ||||
\(732\) | 33.0170 | − | 19.0624i | 1.22034 | − | 0.704565i | ||||
\(733\) | −14.3920 | −0.531580 | −0.265790 | − | 0.964031i | \(-0.585633\pi\) | ||||
−0.265790 | + | 0.964031i | \(0.585633\pi\) | |||||||
\(734\) | 3.78055 | − | 2.18270i | 0.139543 | − | 0.0805651i | ||||
\(735\) | 19.0827 | + | 16.9984i | 0.703877 | + | 0.626997i | ||||
\(736\) | 9.91745i | 0.365562i | ||||||||
\(737\) | 11.2864 | − | 6.51621i | 0.415740 | − | 0.240028i | ||||
\(738\) | −3.38314 | − | 1.95326i | −0.124535 | − | 0.0719004i | ||||
\(739\) | −29.8328 | − | 17.2240i | −1.09742 | − | 0.633594i | −0.161876 | − | 0.986811i | \(-0.551754\pi\) |
−0.935541 | + | 0.353217i | \(0.885088\pi\) | |||||||
\(740\) | 2.58762 | + | 7.82145i | 0.0951228 | + | 0.287522i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | − | 14.2382i | − | 0.522702i | ||||||
\(743\) | −20.3567 | + | 35.2589i | −0.746816 | + | 1.29352i | 0.202526 | + | 0.979277i | \(0.435085\pi\) |
−0.949342 | + | 0.314246i | \(0.898248\pi\) | |||||||
\(744\) | 6.55021 | − | 11.3453i | 0.240142 | − | 0.415939i | ||||
\(745\) | 26.4674 | + | 23.5765i | 0.969690 | + | 0.863777i | ||||
\(746\) | − | 5.04903i | − | 0.184858i | ||||||
\(747\) | −18.2985 | − | 31.6939i | −0.669507 | − | 1.15962i | ||||
\(748\) | 5.97929 | + | 10.3564i | 0.218625 | + | 0.378669i | ||||
\(749\) | − | 28.7542i | − | 1.05066i | ||||||
\(750\) | −9.91748 | − | 0.881918i | −0.362135 | − | 0.0322031i | ||||
\(751\) | 16.2509 | − | 28.1474i | 0.593003 | − | 1.02711i | −0.400822 | − | 0.916156i | \(-0.631275\pi\) |
0.993825 | − | 0.110956i | \(-0.0353912\pi\) | |||||||
\(752\) | −11.5247 | + | 19.9613i | −0.420261 | + | 0.727914i | ||||
\(753\) | − | 51.2167i | − | 1.86644i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −30.8786 | + | 10.2158i | −1.12379 | + | 0.371790i | ||||
\(756\) | 18.4123 | + | 10.6304i | 0.669650 | + | 0.386623i | ||||
\(757\) | −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 | ||||
\(759\) | 23.5185i | 0.853668i | ||||||||
\(760\) | 2.67739 | + | 2.38496i | 0.0971193 | + | 0.0865116i | ||||
\(761\) | −3.45532 | + | 1.99493i | −0.125255 | + | 0.0723161i | −0.561318 | − | 0.827600i | \(-0.689706\pi\) |
0.436063 | + | 0.899916i | \(0.356372\pi\) | |||||||
\(762\) | −8.16070 | −0.295631 | ||||||||
\(763\) | 24.6613 | − | 14.2382i | 0.892800 | − | 0.515458i | ||||
\(764\) | 24.1220 | − | 41.7805i | 0.872703 | − | 1.51157i | ||||
\(765\) | −3.75001 | + | 18.1178i | −0.135582 | + | 0.655051i | ||||
\(766\) | 0.476696 | 0.0172237 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 21.3847i | 0.771652i | ||||||||
\(769\) | −5.77367 | − | 3.33343i | −0.208204 | − | 0.120207i | 0.392272 | − | 0.919849i | \(-0.371689\pi\) |
−0.600476 | + | 0.799642i | \(0.705022\pi\) | |||||||
\(770\) | 1.63205 | − | 7.88512i | 0.0588151 | − | 0.284160i | ||||
\(771\) | 2.84181 | + | 4.92216i | 0.102345 | + | 0.177267i | ||||
\(772\) | 37.4720 | 1.34865 | ||||||||
\(773\) | −24.1675 | − | 41.8593i | −0.869244 | − | 1.50557i | −0.862771 | − | 0.505595i | \(-0.831273\pi\) |
−0.00647254 | − | 0.999979i | \(-0.502060\pi\) | |||||||
\(774\) | 10.6285 | − | 6.13636i | 0.382033 | − | 0.220567i | ||||
\(775\) | 11.2751 | + | 15.1752i | 0.405015 | + | 0.545111i | ||||
\(776\) | −3.38907 | − | 5.87005i | −0.121661 | − | 0.210723i | ||||
\(777\) | −15.2349 | − | 8.79585i | −0.546548 | − | 0.315549i | ||||
\(778\) | 3.10841 | − | 5.38393i | 0.111442 | − | 0.193023i | ||||
\(779\) | −3.46472 | −0.124136 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −17.0269 | −0.609271 | ||||||||
\(782\) | 0.867753 | − | 1.50299i | 0.0310308 | − | 0.0537469i | ||||
\(783\) | −8.71259 | − | 5.03022i | −0.311363 | − | 0.179765i | ||||
\(784\) | −7.12291 | − | 12.3372i | −0.254389 | − | 0.440615i | ||||
\(785\) | −23.1842 | + | 7.67017i | −0.827478 | + | 0.273760i | ||||
\(786\) | 7.71236 | − | 4.45274i | 0.275091 | − | 0.158824i | ||||
\(787\) | 13.9806 | + | 24.2151i | 0.498355 | + | 0.863176i | 0.999998 | − | 0.00189876i | \(-0.000604394\pi\) |
−0.501643 | + | 0.865074i | \(0.667271\pi\) | |||||||
\(788\) | −40.9341 | −1.45822 | ||||||||
\(789\) | −40.2658 | − | 69.7424i | −1.43350 | − | 2.48290i | ||||
\(790\) | 9.98328 | + | 2.06633i | 0.355189 | + | 0.0735167i | ||||
\(791\) | 21.2948 | + | 12.2945i | 0.757155 | + | 0.437144i | ||||
\(792\) | − | 17.7381i | − | 0.630297i | ||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −5.65488 | −0.200684 | ||||||||
\(795\) | 75.6426 | + | 15.6564i | 2.68277 | + | 0.555277i | ||||
\(796\) | 17.2314 | − | 29.8457i | 0.610752 | − | 1.05785i | ||||
\(797\) | 32.2529 | − | 18.6212i | 1.14246 | − | 0.659597i | 0.195418 | − | 0.980720i | \(-0.437393\pi\) |
0.947038 | + | 0.321123i | \(0.104060\pi\) | |||||||
\(798\) | −3.72052 | −0.131705 | ||||||||
\(799\) | 11.5939 | − | 6.69377i | 0.410164 | − | 0.236808i | ||||
\(800\) | 16.9080 | + | 7.31249i | 0.597789 | + | 0.258535i | ||||
\(801\) | 43.8014i | 1.54765i | ||||||||
\(802\) | 6.36120 | − | 3.67264i | 0.224622 | − | 0.129685i | ||||
\(803\) | −15.3617 | − | 8.86907i | −0.542102 | − | 0.312983i | ||||
\(804\) | −17.6955 | − | 10.2165i | −0.624073 | − | 0.360309i | ||||
\(805\) | 19.1633 | − | 6.33991i | 0.675416 | − | 0.223452i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | − | 50.0382i | − | 1.76143i | ||||||
\(808\) | −3.67511 | + | 6.36548i | −0.129290 | + | 0.223937i | ||||
\(809\) | 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 | ||||
\(811\) | − | 44.0538i | − | 1.54694i | −0.633834 | − | 0.773469i | \(-0.718520\pi\) | ||
0.633834 | − | 0.773469i | \(-0.281480\pi\) | |||||||
\(812\) | 9.50986 | + | 16.4716i | 0.333731 | + | 0.578039i | ||||
\(813\) | 7.83955 | + | 13.5785i | 0.274945 | + | 0.476219i | ||||
\(814\) | 2.09269i | 0.0733489i | ||||||||
\(815\) | −6.21373 | + | 6.97563i | −0.217657 | + | 0.244346i | ||||
\(816\) | 8.80054 | − | 15.2430i | 0.308080 | − | 0.533611i | ||||
\(817\) | 5.44238 | − | 9.42647i | 0.190405 | − | 0.329790i | ||||
\(818\) | − | 3.18687i | − | 0.111426i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −11.1618 | + | 3.69273i | −0.389787 | + | 0.128956i | ||||
\(821\) | 23.4060 | + | 13.5135i | 0.816875 | + | 0.471623i | 0.849337 | − | 0.527850i | \(-0.177002\pi\) |
−0.0324629 | + | 0.999473i | \(0.510335\pi\) | |||||||
\(822\) | 12.9943 | + | 7.50229i | 0.453230 | + | 0.261672i | ||||
\(823\) | 34.2914 | − | 19.7981i | 1.19532 | − | 0.690120i | 0.235814 | − | 0.971798i | \(-0.424225\pi\) |
0.959509 | + | 0.281679i | \(0.0908912\pi\) | |||||||
\(824\) | 9.48442i | 0.330405i | ||||||||
\(825\) | 40.0962 | + | 17.3410i | 1.39597 | + | 0.603737i | ||||
\(826\) | −2.43594 | + | 1.40639i | −0.0847571 | + | 0.0489345i | ||||
\(827\) | −26.5639 | −0.923716 | −0.461858 | − | 0.886954i | \(-0.652817\pi\) | ||||
−0.461858 | + | 0.886954i | \(0.652817\pi\) | |||||||
\(828\) | 18.7121 | − | 10.8034i | 0.650290 | − | 0.375445i | ||||
\(829\) | −6.99162 | + | 12.1098i | −0.242829 | + | 0.420592i | −0.961519 | − | 0.274738i | \(-0.911409\pi\) |
0.718690 | + | 0.695331i | \(0.244742\pi\) | |||||||
\(830\) | 6.24416 | + | 1.29241i | 0.216738 | + | 0.0448602i | ||||
\(831\) | −36.4480 | −1.26437 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 8.27427i | 0.286686i | ||||||||
\(834\) | −0.791986 | − | 0.457254i | −0.0274242 | − | 0.0158334i | ||||
\(835\) | −7.34297 | − | 1.51984i | −0.254114 | − | 0.0525962i | ||||
\(836\) | −3.82237 | − | 6.62054i | −0.132199 | − | 0.228976i | ||||
\(837\) | −12.6798 | −0.438278 | ||||||||
\(838\) | −0.323614 | − | 0.560515i | −0.0111791 | − | 0.0193627i | ||||
\(839\) | −12.4657 | + | 7.19707i | −0.430364 | + | 0.248471i | −0.699502 | − | 0.714631i | \(-0.746595\pi\) |
0.269138 | + | 0.963102i | \(0.413261\pi\) | |||||||
\(840\) | −24.6657 | + | 8.16032i | −0.851048 | + | 0.281558i | ||||
\(841\) | 10.0000 | + | 17.3205i | 0.344828 | + | 0.597259i | ||||
\(842\) | −3.46128 | − | 1.99837i | −0.119284 | − | 0.0688684i | ||||
\(843\) | −0.625462 | + | 1.08333i | −0.0215421 | + | 0.0373119i | ||||
\(844\) | −36.4868 | −1.25593 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −9.64952 | −0.331757 | ||||||||
\(847\) | 0.779207 | − | 1.34963i | 0.0267739 | − | 0.0463737i | ||||
\(848\) | −37.2910 | − | 21.5300i | −1.28058 | − | 0.739343i | ||||
\(849\) | −13.5404 | − | 23.4526i | −0.464704 | − | 0.804891i | ||||
\(850\) | −1.92259 | − | 2.58762i | −0.0659444 | − | 0.0887547i | ||||
\(851\) | −4.54300 | + | 2.62291i | −0.155732 | + | 0.0899120i | ||||
\(852\) | 13.3479 | + | 23.1193i | 0.457292 | + | 0.792053i | ||||
\(853\) | 27.2633 | 0.933478 | 0.466739 | − | 0.884395i | \(-0.345429\pi\) | ||||
0.466739 | + | 0.884395i | \(0.345429\pi\) | |||||||
\(854\) | −4.15580 | − | 7.19806i | −0.142209 | − | 0.246312i | ||||
\(855\) | 2.39726 | − | 11.5821i | 0.0819845 | − | 0.396101i | ||||
\(856\) | 9.55786 | + | 5.51823i | 0.326681 | + | 0.188609i | ||||
\(857\) | − | 50.6201i | − | 1.72915i | −0.502503 | − | 0.864575i | \(-0.667587\pi\) | ||
0.502503 | − | 0.864575i | \(-0.332413\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.27992 | −0.0436702 | −0.0218351 | − | 0.999762i | \(-0.506951\pi\) | ||||
−0.0218351 | + | 0.999762i | \(0.506951\pi\) | |||||||
\(860\) | 7.48611 | − | 36.1685i | 0.255274 | − | 1.23333i | ||||
\(861\) | 12.5523 | − | 21.7413i | 0.427782 | − | 0.740941i | ||||
\(862\) | −7.04509 | + | 4.06749i | −0.239957 | + | 0.138539i | ||||
\(863\) | 8.38448 | 0.285411 | 0.142706 | − | 0.989765i | \(-0.454420\pi\) | ||||
0.142706 | + | 0.989765i | \(0.454420\pi\) | |||||||
\(864\) | −10.7000 | + | 6.17763i | −0.364020 | + | 0.210167i | ||||
\(865\) | 14.5882 | + | 12.9949i | 0.496015 | + | 0.441839i | ||||
\(866\) | 11.9342i | 0.405541i | ||||||||
\(867\) | 30.7765 | − | 17.7688i | 1.04522 | − | 0.603460i | ||||
\(868\) | 20.7602 | + | 11.9859i | 0.704646 | + | 0.406828i | ||||
\(869\) | −38.7380 | − | 22.3654i | −1.31410 | − | 0.758695i | ||||
\(870\) | 5.67164 | − | 1.87639i | 0.192287 | − | 0.0636155i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 10.9299i | 0.370132i | ||||||||
\(873\) | −11.1794 | + | 19.3632i | −0.378365 | + | 0.655347i | ||||
\(874\) | −0.554726 | + | 0.960814i | −0.0187639 | + | 0.0325000i | ||||
\(875\) | 3.32098 | − | 37.3456i | 0.112270 | − | 1.26251i | ||||
\(876\) | 27.8109i | 0.939645i | ||||||||
\(877\) | −27.9431 | − | 48.3989i | −0.943572 | − | 1.63431i | −0.758586 | − | 0.651573i | \(-0.774110\pi\) |
−0.184985 | − | 0.982741i | \(-0.559224\pi\) | |||||||
\(878\) | −0.419382 | − | 0.726391i | −0.0141535 | − | 0.0245145i | ||||
\(879\) | − | 36.2051i | − | 1.22117i | ||||||
\(880\) | −18.1839 | − | 16.1978i | −0.612978 | − | 0.546026i | ||||
\(881\) | 12.5975 | − | 21.8195i | 0.424420 | − | 0.735116i | −0.571946 | − | 0.820291i | \(-0.693811\pi\) |
0.996366 | + | 0.0851746i | \(0.0271448\pi\) | |||||||
\(882\) | 2.98198 | − | 5.16494i | 0.100408 | − | 0.173913i | ||||
\(883\) | 30.7868i | 1.03606i | 0.855363 | + | 0.518029i | \(0.173334\pi\) | ||||
−0.855363 | + | 0.518029i | \(0.826666\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −4.79307 | − | 14.4877i | −0.161117 | − | 0.487000i | ||||
\(886\) | 5.54628 | + | 3.20215i | 0.186331 | + | 0.107578i | ||||
\(887\) | −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 | ||||
\(889\) | − | 30.7302i | − | 1.03066i | ||||||
\(890\) | −5.69872 | − | 5.07628i | −0.191021 | − | 0.170157i | ||||
\(891\) | 10.4301 | − | 6.02183i | 0.349422 | − | 0.201739i | ||||
\(892\) | 23.3875 | 0.783071 | ||||||||
\(893\) | −7.41163 | + | 4.27911i | −0.248021 | + | 0.143195i | ||||
\(894\) | 7.05833 | − | 12.2254i | 0.236066 | − | 0.408878i | ||||
\(895\) | 39.4360 | + | 8.16243i | 1.31820 | + | 0.272840i | ||||
\(896\) | 30.8032 | 1.02906 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 8.20739i | 0.273884i | ||||||||
\(899\) | −9.82357 | − | 5.67164i | −0.327634 | − | 0.189160i | ||||
\(900\) | −4.62144 | − | 39.8676i | −0.154048 | − | 1.32892i | ||||
\(901\) | 12.5051 | + | 21.6594i | 0.416604 | + | 0.721580i | ||||
\(902\) | −2.98643 | −0.0994372 | ||||||||
\(903\) | 39.4344 | + | 68.3024i | 1.31230 | + | 2.27296i | ||||
\(904\) | −8.17338 | + | 4.71891i | −0.271843 | + | 0.156948i | ||||
\(905\) | −0.733001 | − | 2.21560i | −0.0243658 | − | 0.0736490i | ||||
\(906\) | 6.47670 | + | 11.2180i | 0.215174 | + | 0.372692i | ||||
\(907\) | 33.6807 | + | 19.4455i | 1.11835 | + | 0.645678i | 0.940979 | − | 0.338466i | \(-0.109908\pi\) |
0.177369 | + | 0.984144i | \(0.443241\pi\) | |||||||
\(908\) | −5.82555 | + | 10.0901i | −0.193328 | + | 0.334853i | ||||
\(909\) | 24.2458 | 0.804183 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 0.165096 | 0.00546989 | 0.00273494 | − | 0.999996i | \(-0.499129\pi\) | ||||
0.00273494 | + | 0.999996i | \(0.499129\pi\) | |||||||
\(912\) | −5.62590 | + | 9.74434i | −0.186292 | + | 0.322667i | ||||
\(913\) | −24.2292 | − | 13.9887i | −0.801868 | − | 0.462959i | ||||
\(914\) | 1.25180 | + | 2.16818i | 0.0414059 | + | 0.0717171i | ||||
\(915\) | 42.8105 | − | 14.1633i | 1.41527 | − | 0.468223i | ||||
\(916\) | −44.1786 | + | 25.5065i | −1.45970 | + | 0.842760i | ||||
\(917\) | 16.7674 | + | 29.0420i | 0.553708 | + | 0.959050i | ||||
\(918\) | 2.16211 | 0.0713603 | ||||||||
\(919\) | 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 | ||||
\(921\) | −57.3648 | − | 33.1196i | −1.89024 | − | 1.09133i | ||||
\(922\) | 4.08361i | 0.134486i | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 55.3923 | 1.82227 | ||||||||
\(925\) | 1.12201 | + | 9.67923i | 0.0368916 | + | 0.318251i | ||||
\(926\) | 3.78109 | − | 6.54905i | 0.124254 | − | 0.215215i | ||||
\(927\) | 27.0943 | − | 15.6429i | 0.889893 | − | 0.513780i | ||||
\(928\) | −11.0529 | −0.362831 | ||||||||
\(929\) | −10.6430 | + | 6.14474i | −0.349185 | + | 0.201602i | −0.664326 | − | 0.747443i | \(-0.731282\pi\) |
0.315141 | + | 0.949045i | \(0.397948\pi\) | |||||||
\(930\) | 5.00818 | − | 5.62226i | 0.164225 | − | 0.184361i | ||||
\(931\) | − | 5.28947i | − | 0.173356i | ||||||
\(932\) | −1.34963 | + | 0.779207i | −0.0442085 | + | 0.0255238i | ||||
\(933\) | 5.68295 | + | 3.28106i | 0.186052 | + | 0.107417i | ||||
\(934\) | 4.38296 | + | 2.53051i | 0.143415 | + | 0.0828007i | ||||
\(935\) | 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 | \(0.969942\pi\) | |||||||
\(938\) | −2.22731 | + | 3.85781i | −0.0727242 | + | 0.125962i | ||||
\(939\) | −25.9713 | + | 44.9835i | −0.847540 | + | 1.46798i | ||||
\(940\) | −19.3163 | + | 21.6848i | −0.630029 | + | 0.707280i | ||||
\(941\) | 55.8887i | 1.82192i | 0.412495 | + | 0.910960i | \(0.364658\pi\) | ||||
−0.412495 | + | 0.910960i | \(0.635342\pi\) | |||||||
\(942\) | 4.86282 | + | 8.42264i | 0.158439 | + | 0.274425i | ||||
\(943\) | −3.74308 | − | 6.48321i | −0.121891 | − | 0.211122i | ||||
\(944\) | 8.50655i | 0.276864i | ||||||||
\(945\) | 18.7770 | + | 16.7261i | 0.610817 | + | 0.544102i | ||||
\(946\) | 4.69108 | − | 8.12520i | 0.152520 | − | 0.264173i | ||||
\(947\) | 0.948188 | − | 1.64231i | 0.0308120 | − | 0.0533679i | −0.850208 | − | 0.526447i | \(-0.823524\pi\) |
0.881020 | + | 0.473079i | \(0.156857\pi\) | |||||||
\(948\) | 70.1318i | 2.27777i | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 1.22905 | + | 1.65418i | 0.0398757 | + | 0.0536688i | ||||
\(951\) | −67.1884 | − | 38.7912i | −2.17873 | − | 1.25789i | ||||
\(952\) | −7.28483 | − | 4.20590i | −0.236103 | − | 0.136314i | ||||
\(953\) | −29.1438 | + | 16.8262i | −0.944059 | + | 0.545053i | −0.891230 | − | 0.453551i | \(-0.850157\pi\) |
−0.0528285 | + | 0.998604i | \(0.516824\pi\) | |||||||
\(954\) | − | 18.0269i | − | 0.583643i | ||||||
\(955\) | 37.9543 | − | 42.6081i | 1.22817 | − | 1.37877i | ||||
\(956\) | −6.54905 | + | 3.78109i | −0.211811 | + | 0.122289i | ||||
\(957\) | −26.2113 | −0.847290 | ||||||||
\(958\) | −6.95735 | + | 4.01683i | −0.224782 | + | 0.129778i | ||||
\(959\) | −28.2509 | + | 48.9320i | −0.912269 | + | 1.58010i | ||||
\(960\) | −6.69956 | + | 32.3683i | −0.216227 | + | 1.04468i | ||||
\(961\) | 16.7033 | 0.538817 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 36.4054i | − | 1.17315i | ||||||
\(964\) | 37.1556 | + | 21.4518i | 1.19670 | + | 0.690917i | ||||
\(965\) | 43.4005 | + | 8.98300i | 1.39711 | + | 0.289173i | ||||
\(966\) | −4.01944 | − | 6.96188i | −0.129323 | − | 0.223995i | ||||
\(967\) | 23.0493 | 0.741216 | 0.370608 | − | 0.928789i | \(-0.379149\pi\) | ||||
0.370608 | + | 0.928789i | \(0.379149\pi\) | |||||||
\(968\) | 0.299076 | + | 0.518015i | 0.00961267 | + | 0.0166496i | ||||
\(969\) | 5.65972 | − | 3.26764i | 0.181816 | − | 0.104972i | ||||
\(970\) | −1.22361 | − | 3.69855i | −0.0392879 | − | 0.118753i | ||||
\(971\) | −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 | ||||
\(973\) | 1.72185 | − | 2.98233i | 0.0552000 | − | 0.0956092i | ||||
\(974\) | −12.2040 | −0.391041 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −25.1364 | −0.804595 | ||||||||
\(977\) | −11.6821 | + | 20.2339i | −0.373742 | + | 0.647341i | −0.990138 | − | 0.140096i | \(-0.955259\pi\) |
0.616396 | + | 0.787437i | \(0.288592\pi\) | |||||||
\(978\) | 3.22207 | + | 1.86026i | 0.103030 | + | 0.0594846i | ||||
\(979\) | 16.7425 | + | 28.9989i | 0.535093 | + | 0.926808i | ||||
\(980\) | −5.63757 | − | 17.0404i | −0.180086 | − | 0.544334i | ||||
\(981\) | 31.2235 | − | 18.0269i | 0.996890 | − | 0.575555i | ||||
\(982\) | −5.84810 | − | 10.1292i | −0.186620 | − | 0.323236i | ||||
\(983\) | −5.31119 | −0.169401 | −0.0847003 | − | 0.996406i | \(-0.526993\pi\) | ||||
−0.0847003 | + | 0.996406i | \(0.526993\pi\) | |||||||
\(984\) | 4.81785 | + | 8.34476i | 0.153587 | + | 0.266021i | ||||
\(985\) | −47.4104 | − | 9.81295i | −1.51062 | − | 0.312667i | ||||
\(986\) | 1.67508 | + | 0.967105i | 0.0533453 | + | 0.0307989i | ||||
\(987\) | − | 62.0112i | − | 1.97384i | ||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 23.5185 | 0.747846 | ||||||||
\(990\) | 2.06633 | − | 9.98328i | 0.0656723 | − | 0.317289i | ||||
\(991\) | 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 | ||||
\(993\) | −8.00299 | −0.253967 | ||||||||
\(994\) | 5.04025 | − | 2.90999i | 0.159867 | − | 0.0922993i | ||||
\(995\) | 27.1125 | − | 30.4369i | 0.859523 | − | 0.964915i | ||||
\(996\) | 43.8648i | 1.38991i | ||||||||
\(997\) | −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 | ||||
\(999\) | −5.65972 | − | 3.26764i | −0.179066 | − | 0.103384i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))