Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [847,2,Mod(9,847)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(847, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("847.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 847 = 7 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 847.n (of order \(15\), degree \(8\), 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: | \(6.76332905120\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | no (minimal twist has level 77) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Character | \(\chi\) | \(=\) | 847.9 |
Dual form | 847.2.n.d.753.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/847\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(365\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.66671 | + | 1.85107i | 1.17854 | + | 1.30891i | 0.941345 | + | 0.337445i | \(0.109563\pi\) |
0.237199 | + | 0.971461i | \(0.423771\pi\) | |||||||
\(3\) | −0.651849 | − | 0.290222i | −0.376345 | − | 0.167560i | 0.209842 | − | 0.977735i | \(-0.432705\pi\) |
−0.586187 | + | 0.810176i | \(0.699372\pi\) | |||||||
\(4\) | −0.439480 | + | 4.18137i | −0.219740 | + | 2.09068i | ||||
\(5\) | −2.15623 | − | 0.458321i | −0.964295 | − | 0.204967i | −0.301249 | − | 0.953546i | \(-0.597404\pi\) |
−0.663046 | + | 0.748578i | \(0.730737\pi\) | |||||||
\(6\) | −0.549224 | − | 1.69034i | −0.224220 | − | 0.690077i | ||||
\(7\) | −2.30546 | + | 1.29802i | −0.871382 | + | 0.490605i | ||||
\(8\) | −4.44220 | + | 3.22745i | −1.57056 | + | 1.14108i | ||||
\(9\) | −1.66671 | − | 1.85107i | −0.555571 | − | 0.617024i | ||||
\(10\) | −2.74543 | − | 4.75523i | −0.868182 | − | 1.50373i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 1.50000 | − | 2.59808i | 0.433013 | − | 0.750000i | ||||
\(13\) | 1.01557 | − | 3.12561i | 0.281669 | − | 0.866889i | −0.705708 | − | 0.708503i | \(-0.749371\pi\) |
0.987377 | − | 0.158386i | \(-0.0506290\pi\) | |||||||
\(14\) | −6.24527 | − | 2.10415i | −1.66912 | − | 0.562358i | ||||
\(15\) | 1.27252 | + | 0.924542i | 0.328564 | + | 0.238716i | ||||
\(16\) | −5.15307 | − | 1.09532i | −1.28827 | − | 0.273830i | ||||
\(17\) | −0.997582 | + | 1.10793i | −0.241949 | + | 0.268712i | −0.851873 | − | 0.523748i | \(-0.824533\pi\) |
0.609924 | + | 0.792460i | \(0.291200\pi\) | |||||||
\(18\) | 0.648537 | − | 6.17041i | 0.152862 | − | 1.45438i | ||||
\(19\) | −0.723122 | − | 6.88004i | −0.165895 | − | 1.57839i | −0.688130 | − | 0.725588i | \(-0.741568\pi\) |
0.522234 | − | 0.852802i | \(-0.325099\pi\) | |||||||
\(20\) | 2.86403 | − | 8.81457i | 0.640416 | − | 1.97100i | ||||
\(21\) | 1.87953 | − | 0.177017i | 0.410146 | − | 0.0386283i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.24543 | + | 5.62125i | −0.676719 | + | 1.17211i | 0.299244 | + | 0.954177i | \(0.403266\pi\) |
−0.975963 | + | 0.217936i | \(0.930068\pi\) | |||||||
\(24\) | 3.83232 | − | 0.814585i | 0.782270 | − | 0.166277i | ||||
\(25\) | −0.128457 | − | 0.0571928i | −0.0256914 | − | 0.0114386i | ||||
\(26\) | 7.47840 | − | 3.32960i | 1.46664 | − | 0.652988i | ||||
\(27\) | 1.21071 | + | 3.72618i | 0.233001 | + | 0.717104i | ||||
\(28\) | −4.41429 | − | 10.2104i | −0.834223 | − | 1.92959i | ||||
\(29\) | −1.33468 | − | 0.969699i | −0.247843 | − | 0.180069i | 0.456927 | − | 0.889504i | \(-0.348950\pi\) |
−0.704770 | + | 0.709436i | \(0.748950\pi\) | |||||||
\(30\) | 0.409536 | + | 3.89648i | 0.0747707 | + | 0.711396i | ||||
\(31\) | 2.29889 | − | 0.488644i | 0.412893 | − | 0.0877631i | 0.00321838 | − | 0.999995i | \(-0.498976\pi\) |
0.409675 | + | 0.912232i | \(0.365642\pi\) | |||||||
\(32\) | −1.07031 | − | 1.85383i | −0.189205 | − | 0.327713i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.71354 | −0.636867 | ||||||||
\(35\) | 5.56601 | − | 1.74219i | 0.940828 | − | 0.294483i | ||||
\(36\) | 8.47250 | − | 6.15563i | 1.41208 | − | 1.02594i | ||||
\(37\) | −5.07443 | + | 2.25928i | −0.834231 | + | 0.371423i | −0.778980 | − | 0.627049i | \(-0.784263\pi\) |
−0.0552509 | + | 0.998473i | \(0.517596\pi\) | |||||||
\(38\) | 11.5302 | − | 12.8056i | 1.87045 | − | 2.07734i | ||||
\(39\) | −1.56912 | + | 1.74269i | −0.251261 | + | 0.279053i | ||||
\(40\) | 11.0576 | − | 4.92317i | 1.74836 | − | 0.778421i | ||||
\(41\) | −9.10137 | + | 6.61254i | −1.42140 | + | 1.03270i | −0.429857 | + | 0.902897i | \(0.641436\pi\) |
−0.991539 | + | 0.129807i | \(0.958564\pi\) | |||||||
\(42\) | 3.46030 | + | 3.18410i | 0.533936 | + | 0.491318i | ||||
\(43\) | −5.26819 | −0.803391 | −0.401696 | − | 0.915773i | \(-0.631579\pi\) | ||||
−0.401696 | + | 0.915773i | \(0.631579\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.74543 | + | 4.75523i | 0.409265 | + | 0.708867i | ||||
\(46\) | −15.8145 | + | 3.36149i | −2.33173 | + | 0.495624i | ||||
\(47\) | −0.155838 | − | 1.48270i | −0.0227313 | − | 0.216274i | −0.999991 | − | 0.00422804i | \(-0.998654\pi\) |
0.977260 | − | 0.212045i | \(-0.0680125\pi\) | |||||||
\(48\) | 3.04114 | + | 2.20952i | 0.438950 | + | 0.318916i | ||||
\(49\) | 3.63030 | − | 5.98506i | 0.518614 | − | 0.855009i | ||||
\(50\) | −0.108233 | − | 0.333107i | −0.0153065 | − | 0.0471085i | ||||
\(51\) | 0.971818 | − | 0.432681i | 0.136082 | − | 0.0605875i | ||||
\(52\) | 12.6230 | + | 5.62013i | 1.75050 | + | 0.779371i | ||||
\(53\) | −0.298076 | + | 0.0633579i | −0.0409438 | + | 0.00870288i | −0.228338 | − | 0.973582i | \(-0.573329\pi\) |
0.187394 | + | 0.982285i | \(0.439996\pi\) | |||||||
\(54\) | −4.87953 | + | 8.45159i | −0.664019 | + | 1.15012i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 6.05203 | − | 13.2068i | 0.808737 | − | 1.76483i | ||||
\(57\) | −1.52537 | + | 4.69462i | −0.202041 | + | 0.621817i | ||||
\(58\) | −0.429539 | − | 4.08679i | −0.0564012 | − | 0.536622i | ||||
\(59\) | 1.32320 | − | 12.5894i | 0.172266 | − | 1.63900i | −0.477335 | − | 0.878721i | \(-0.658397\pi\) |
0.649601 | − | 0.760276i | \(-0.274936\pi\) | |||||||
\(60\) | −4.42510 | + | 4.91457i | −0.571278 | + | 0.634468i | ||||
\(61\) | −12.6980 | − | 2.69905i | −1.62582 | − | 0.345578i | −0.697275 | − | 0.716803i | \(-0.745604\pi\) |
−0.928543 | + | 0.371225i | \(0.878938\pi\) | |||||||
\(62\) | 4.73611 | + | 3.44098i | 0.601486 | + | 0.437005i | ||||
\(63\) | 6.24527 | + | 2.10415i | 0.786830 | + | 0.265098i | ||||
\(64\) | −1.60825 | + | 4.94968i | −0.201031 | + | 0.618710i | ||||
\(65\) | −3.62234 | + | 6.27408i | −0.449296 | + | 0.778204i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.28646 | + | 3.96027i | 0.279336 | + | 0.483824i | 0.971220 | − | 0.238185i | \(-0.0765524\pi\) |
−0.691884 | + | 0.722009i | \(0.743219\pi\) | |||||||
\(68\) | −4.19424 | − | 4.65817i | −0.508626 | − | 0.564886i | ||||
\(69\) | 3.74694 | − | 2.72231i | 0.451079 | − | 0.327728i | ||||
\(70\) | 12.5019 | + | 7.39937i | 1.49426 | + | 0.884394i | ||||
\(71\) | 3.50016 | + | 10.7724i | 0.415392 | + | 1.27845i | 0.911900 | + | 0.410413i | \(0.134615\pi\) |
−0.496508 | + | 0.868032i | \(0.665385\pi\) | |||||||
\(72\) | 13.3781 | + | 2.84361i | 1.57663 | + | 0.335122i | ||||
\(73\) | −0.895567 | + | 8.52075i | −0.104818 | + | 0.997279i | 0.808075 | + | 0.589080i | \(0.200510\pi\) |
−0.912893 | + | 0.408199i | \(0.866157\pi\) | |||||||
\(74\) | −12.6397 | − | 5.62756i | −1.46934 | − | 0.654190i | ||||
\(75\) | 0.0671361 | + | 0.0745622i | 0.00775221 | + | 0.00860970i | ||||
\(76\) | 29.0858 | 3.33637 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −5.84111 | −0.661376 | ||||||||
\(79\) | −3.09906 | − | 3.44186i | −0.348672 | − | 0.387239i | 0.543143 | − | 0.839640i | \(-0.317234\pi\) |
−0.891815 | + | 0.452401i | \(0.850568\pi\) | |||||||
\(80\) | 10.6092 | + | 4.72352i | 1.18614 | + | 0.528105i | ||||
\(81\) | −0.488879 | + | 4.65137i | −0.0543199 | + | 0.516819i | ||||
\(82\) | −27.4097 | − | 5.82610i | −3.02689 | − | 0.643385i | ||||
\(83\) | 0.598322 | + | 1.84145i | 0.0656744 | + | 0.202125i | 0.978509 | − | 0.206205i | \(-0.0661113\pi\) |
−0.912834 | + | 0.408330i | \(0.866111\pi\) | |||||||
\(84\) | −0.0858404 | + | 7.93679i | −0.00936596 | + | 0.865975i | ||||
\(85\) | 2.65880 | − | 1.93173i | 0.288388 | − | 0.209526i | ||||
\(86\) | −8.78056 | − | 9.75180i | −0.946832 | − | 1.05156i | ||||
\(87\) | 0.588580 | + | 1.01945i | 0.0631024 | + | 0.109297i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.60220 | + | 2.77509i | −0.169833 | + | 0.294159i | −0.938361 | − | 0.345657i | \(-0.887656\pi\) |
0.768528 | + | 0.639816i | \(0.220989\pi\) | |||||||
\(90\) | −4.22642 | + | 13.0076i | −0.445504 | + | 1.37112i | ||||
\(91\) | 1.71574 | + | 8.52421i | 0.179858 | + | 0.893580i | ||||
\(92\) | −22.0782 | − | 16.0408i | −2.30181 | − | 1.67237i | ||||
\(93\) | −1.64035 | − | 0.348666i | −0.170096 | − | 0.0361550i | ||||
\(94\) | 2.48484 | − | 2.75970i | 0.256292 | − | 0.284641i | ||||
\(95\) | −1.59405 | + | 15.1664i | −0.163546 | + | 1.55604i | ||||
\(96\) | 0.159658 | + | 1.51904i | 0.0162950 | + | 0.155037i | ||||
\(97\) | 0.574582 | − | 1.76838i | 0.0583400 | − | 0.179552i | −0.917640 | − | 0.397413i | \(-0.869908\pi\) |
0.975980 | + | 0.217861i | \(0.0699080\pi\) | |||||||
\(98\) | 17.1294 | − | 3.25544i | 1.73034 | − | 0.328849i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.295598 | − | 0.511992i | 0.0295598 | − | 0.0511992i | ||||
\(101\) | 5.91341 | − | 1.25693i | 0.588406 | − | 0.125070i | 0.0959186 | − | 0.995389i | \(-0.469421\pi\) |
0.492487 | + | 0.870320i | \(0.336088\pi\) | |||||||
\(102\) | 2.42067 | + | 1.07775i | 0.239682 | + | 0.106713i | ||||
\(103\) | −0.971818 | + | 0.432681i | −0.0957561 | + | 0.0426334i | −0.454056 | − | 0.890973i | \(-0.650023\pi\) |
0.358300 | + | 0.933607i | \(0.383357\pi\) | |||||||
\(104\) | 5.57637 | + | 17.1623i | 0.546808 | + | 1.68290i | ||||
\(105\) | −4.13382 | − | 0.479737i | −0.403420 | − | 0.0468175i | ||||
\(106\) | −0.614087 | − | 0.446160i | −0.0596454 | − | 0.0433349i | ||||
\(107\) | −0.661872 | − | 6.29729i | −0.0639856 | − | 0.608782i | −0.978787 | − | 0.204879i | \(-0.934320\pi\) |
0.914802 | − | 0.403903i | \(-0.132347\pi\) | |||||||
\(108\) | −16.1126 | + | 3.42484i | −1.55044 | + | 0.329556i | ||||
\(109\) | −1.40694 | − | 2.43688i | −0.134760 | − | 0.233411i | 0.790746 | − | 0.612145i | \(-0.209693\pi\) |
−0.925506 | + | 0.378734i | \(0.876360\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.96345 | 0.376194 | ||||||||
\(112\) | 13.3019 | − | 4.16356i | 1.25691 | − | 0.393420i | ||||
\(113\) | 10.3181 | − | 7.49651i | 0.970641 | − | 0.705212i | 0.0150435 | − | 0.999887i | \(-0.495211\pi\) |
0.955598 | + | 0.294675i | \(0.0952113\pi\) | |||||||
\(114\) | −11.2324 | + | 5.00100i | −1.05201 | + | 0.468387i | ||||
\(115\) | 9.57424 | − | 10.6333i | 0.892802 | − | 0.991557i | ||||
\(116\) | 4.64123 | − | 5.15461i | 0.430928 | − | 0.478594i | ||||
\(117\) | −7.47840 | + | 3.32960i | −0.691378 | + | 0.307821i | ||||
\(118\) | 25.5092 | − | 18.5335i | 2.34832 | − | 1.70615i | ||||
\(119\) | 0.861777 | − | 3.84916i | 0.0789989 | − | 0.352852i | ||||
\(120\) | −8.63671 | −0.788420 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −16.1679 | − | 28.0035i | −1.46377 | − | 2.53532i | ||||
\(123\) | 7.85183 | − | 1.66896i | 0.707975 | − | 0.150485i | ||||
\(124\) | 1.03289 | + | 9.82726i | 0.0927560 | + | 0.882514i | ||||
\(125\) | 9.16776 | + | 6.66077i | 0.819990 | + | 0.595757i | ||||
\(126\) | 6.51413 | + | 15.0675i | 0.580325 | + | 1.34232i | ||||
\(127\) | 3.82486 | + | 11.7717i | 0.339401 | + | 1.04457i | 0.964513 | + | 0.264034i | \(0.0850532\pi\) |
−0.625112 | + | 0.780535i | \(0.714947\pi\) | |||||||
\(128\) | −15.7538 | + | 7.01404i | −1.39245 | + | 0.619960i | ||||
\(129\) | 3.43407 | + | 1.52894i | 0.302353 | + | 0.134616i | ||||
\(130\) | −17.6512 | + | 3.75187i | −1.54811 | + | 0.329061i | ||||
\(131\) | 0.379526 | − | 0.657359i | 0.0331594 | − | 0.0574337i | −0.848969 | − | 0.528442i | \(-0.822776\pi\) |
0.882129 | + | 0.471008i | \(0.156110\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 10.5975 | + | 14.9230i | 0.918924 | + | 1.29399i | ||||
\(134\) | −3.51987 | + | 10.8330i | −0.304070 | + | 0.935832i | ||||
\(135\) | −0.902782 | − | 8.58940i | −0.0776991 | − | 0.739258i | ||||
\(136\) | 0.855683 | − | 8.14128i | 0.0733743 | − | 0.698109i | ||||
\(137\) | −3.90847 | + | 4.34079i | −0.333923 | + | 0.370859i | −0.886600 | − | 0.462536i | \(-0.846940\pi\) |
0.552677 | + | 0.833395i | \(0.313606\pi\) | |||||||
\(138\) | 11.2843 | + | 2.39855i | 0.960582 | + | 0.204178i | ||||
\(139\) | −4.50859 | − | 3.27568i | −0.382414 | − | 0.277840i | 0.379926 | − | 0.925017i | \(-0.375949\pi\) |
−0.762340 | + | 0.647177i | \(0.775949\pi\) | |||||||
\(140\) | 4.83857 | + | 24.0392i | 0.408934 | + | 2.03168i | ||||
\(141\) | −0.328728 | + | 1.01172i | −0.0276839 | + | 0.0852024i | ||||
\(142\) | −14.1067 | + | 24.4335i | −1.18381 | + | 2.05041i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 6.56117 | + | 11.3643i | 0.546764 | + | 0.947023i | ||||
\(145\) | 2.43344 | + | 2.70260i | 0.202086 | + | 0.224439i | ||||
\(146\) | −17.2652 | + | 12.5439i | −1.42888 | + | 1.03814i | ||||
\(147\) | −4.10340 | + | 2.84777i | −0.338443 | + | 0.234880i | ||||
\(148\) | −7.21678 | − | 22.2110i | −0.593216 | − | 1.82573i | ||||
\(149\) | −0.978148 | − | 0.207912i | −0.0801330 | − | 0.0170328i | 0.167671 | − | 0.985843i | \(-0.446375\pi\) |
−0.247804 | + | 0.968810i | \(0.579709\pi\) | |||||||
\(150\) | −0.0261234 | + | 0.248547i | −0.00213297 | + | 0.0202938i | ||||
\(151\) | −13.5580 | − | 6.03642i | −1.10334 | − | 0.491237i | −0.227468 | − | 0.973786i | \(-0.573045\pi\) |
−0.875869 | + | 0.482548i | \(0.839711\pi\) | |||||||
\(152\) | 25.4172 | + | 28.2287i | 2.06161 | + | 2.28965i | ||||
\(153\) | 3.71354 | 0.300222 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.18089 | −0.416139 | ||||||||
\(156\) | −6.59722 | − | 7.32695i | −0.528200 | − | 0.586626i | ||||
\(157\) | 5.83804 | + | 2.59926i | 0.465926 | + | 0.207444i | 0.626252 | − | 0.779620i | \(-0.284588\pi\) |
−0.160326 | + | 0.987064i | \(0.551255\pi\) | |||||||
\(158\) | 1.20588 | − | 11.4732i | 0.0959347 | − | 0.912757i | ||||
\(159\) | 0.212688 | + | 0.0452083i | 0.0168673 | + | 0.00358525i | ||||
\(160\) | 1.45818 | + | 4.48782i | 0.115279 | + | 0.354793i | ||||
\(161\) | 0.185726 | − | 17.1722i | 0.0146373 | − | 1.35336i | ||||
\(162\) | −9.42485 | + | 6.84755i | −0.740486 | + | 0.537994i | ||||
\(163\) | 6.65463 | + | 7.39071i | 0.521230 | + | 0.578885i | 0.945077 | − | 0.326849i | \(-0.105987\pi\) |
−0.423846 | + | 0.905734i | \(0.639320\pi\) | |||||||
\(164\) | −23.6496 | − | 40.9623i | −1.84672 | − | 3.19862i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.41142 | + | 4.17670i | −0.187163 | + | 0.324175i | ||||
\(167\) | 0.599940 | − | 1.84643i | 0.0464248 | − | 0.142881i | −0.925157 | − | 0.379584i | \(-0.876067\pi\) |
0.971582 | + | 0.236704i | \(0.0760670\pi\) | |||||||
\(168\) | −7.77792 | + | 6.85242i | −0.600080 | + | 0.528676i | ||||
\(169\) | 1.77916 | + | 1.29264i | 0.136859 | + | 0.0994337i | ||||
\(170\) | 8.00724 | + | 1.70199i | 0.614127 | + | 0.130537i | ||||
\(171\) | −11.5302 | + | 12.8056i | −0.881738 | + | 0.979269i | ||||
\(172\) | 2.31526 | − | 22.0282i | 0.176537 | − | 1.67964i | ||||
\(173\) | 0.672360 | + | 6.39707i | 0.0511185 | + | 0.486360i | 0.989892 | + | 0.141825i | \(0.0452970\pi\) |
−0.938773 | + | 0.344536i | \(0.888036\pi\) | |||||||
\(174\) | −0.906082 | + | 2.78863i | −0.0686899 | + | 0.211406i | ||||
\(175\) | 0.370390 | − | 0.0348840i | 0.0279989 | − | 0.00263698i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.51624 | + | 7.82235i | −0.339461 | + | 0.587964i | ||||
\(178\) | −7.80731 | + | 1.65949i | −0.585182 | + | 0.124384i | ||||
\(179\) | −3.27594 | − | 1.45854i | −0.244855 | − | 0.109017i | 0.280640 | − | 0.959813i | \(-0.409453\pi\) |
−0.525495 | + | 0.850797i | \(0.676120\pi\) | |||||||
\(180\) | −21.0899 | + | 9.38984i | −1.57195 | + | 0.699877i | ||||
\(181\) | 3.77414 | + | 11.6156i | 0.280530 | + | 0.863381i | 0.987703 | + | 0.156341i | \(0.0499699\pi\) |
−0.707174 | + | 0.707040i | \(0.750030\pi\) | |||||||
\(182\) | −12.9193 | + | 17.3834i | −0.957641 | + | 1.28854i | ||||
\(183\) | 7.49389 | + | 5.44463i | 0.553964 | + | 0.402479i | ||||
\(184\) | −3.72544 | − | 35.4452i | −0.274643 | − | 2.61306i | ||||
\(185\) | 11.9771 | − | 2.54581i | 0.880574 | − | 0.187172i | ||||
\(186\) | −2.08858 | − | 3.61753i | −0.153142 | − | 0.265250i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 6.26819 | 0.457155 | ||||||||
\(189\) | −7.62790 | − | 7.01904i | −0.554848 | − | 0.510560i | ||||
\(190\) | −30.7309 | + | 22.3273i | −2.22945 | + | 1.61979i | ||||
\(191\) | 11.0624 | − | 4.92530i | 0.800447 | − | 0.356382i | 0.0345971 | − | 0.999401i | \(-0.488985\pi\) |
0.765850 | + | 0.643019i | \(0.222319\pi\) | |||||||
\(192\) | 2.48484 | − | 2.75970i | 0.179328 | − | 0.199164i | ||||
\(193\) | 7.98938 | − | 8.87311i | 0.575088 | − | 0.638700i | −0.383485 | − | 0.923547i | \(-0.625276\pi\) |
0.958573 | + | 0.284847i | \(0.0919427\pi\) | |||||||
\(194\) | 4.23107 | − | 1.88379i | 0.303773 | − | 0.135248i | ||||
\(195\) | 4.18210 | − | 3.03847i | 0.299486 | − | 0.217589i | ||||
\(196\) | 23.4303 | + | 17.8099i | 1.67359 | + | 1.27214i | ||||
\(197\) | −12.1626 | −0.866551 | −0.433275 | − | 0.901262i | \(-0.642642\pi\) | ||||
−0.433275 | + | 0.901262i | \(0.642642\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.952451 | − | 1.64969i | −0.0675174 | − | 0.116944i | 0.830290 | − | 0.557331i | \(-0.188174\pi\) |
−0.897808 | + | 0.440387i | \(0.854841\pi\) | |||||||
\(200\) | 0.755219 | − | 0.160527i | 0.0534021 | − | 0.0113510i | ||||
\(201\) | −0.341072 | − | 3.24508i | −0.0240573 | − | 0.228890i | ||||
\(202\) | 12.1826 | + | 8.85120i | 0.857167 | + | 0.622768i | ||||
\(203\) | 4.33573 | + | 0.503169i | 0.304309 | + | 0.0353155i | ||||
\(204\) | 1.38211 | + | 4.25369i | 0.0967668 | + | 0.297818i | ||||
\(205\) | 22.6553 | − | 10.0868i | 1.58232 | − | 0.704493i | ||||
\(206\) | −2.42067 | − | 1.07775i | −0.168656 | − | 0.0750904i | ||||
\(207\) | 15.8145 | − | 3.36149i | 1.09919 | − | 0.233639i | ||||
\(208\) | −8.65685 | + | 14.9941i | −0.600245 | + | 1.03965i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −6.00187 | − | 8.45159i | −0.414168 | − | 0.583215i | ||||
\(211\) | 5.01988 | − | 15.4496i | 0.345583 | − | 1.06360i | −0.615688 | − | 0.787990i | \(-0.711122\pi\) |
0.961271 | − | 0.275605i | \(-0.0888782\pi\) | |||||||
\(212\) | −0.133925 | − | 1.27421i | −0.00919799 | − | 0.0875130i | ||||
\(213\) | 0.844805 | − | 8.03779i | 0.0578851 | − | 0.550740i | ||||
\(214\) | 10.5536 | − | 11.7209i | 0.721428 | − | 0.801228i | ||||
\(215\) | 11.3594 | + | 2.41452i | 0.774707 | + | 0.164669i | ||||
\(216\) | −17.4043 | − | 12.6449i | −1.18421 | − | 0.860380i | ||||
\(217\) | −4.66573 | + | 4.11055i | −0.316731 | + | 0.279043i | ||||
\(218\) | 2.16589 | − | 6.66593i | 0.146693 | − | 0.451473i | ||||
\(219\) | 3.05669 | − | 5.29434i | 0.206552 | − | 0.357758i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.44983 | + | 4.24324i | 0.164794 | + | 0.285431i | ||||
\(222\) | 6.60594 | + | 7.33664i | 0.443362 | + | 0.492403i | ||||
\(223\) | −2.45662 | + | 1.78484i | −0.164507 | + | 0.119522i | −0.666993 | − | 0.745064i | \(-0.732419\pi\) |
0.502486 | + | 0.864585i | \(0.332419\pi\) | |||||||
\(224\) | 4.87385 | + | 2.88464i | 0.325648 | + | 0.192738i | ||||
\(225\) | 0.108233 | + | 0.333107i | 0.00721554 | + | 0.0222072i | ||||
\(226\) | 31.0738 | + | 6.60494i | 2.06700 | + | 0.439354i | ||||
\(227\) | 1.92845 | − | 18.3480i | 0.127996 | − | 1.21780i | −0.722332 | − | 0.691547i | \(-0.756930\pi\) |
0.850328 | − | 0.526254i | \(-0.176404\pi\) | |||||||
\(228\) | −18.9596 | − | 8.44134i | −1.25563 | − | 0.559041i | ||||
\(229\) | −17.0627 | − | 18.9501i | −1.12754 | − | 1.25226i | −0.964053 | − | 0.265710i | \(-0.914394\pi\) |
−0.163483 | − | 0.986546i | \(-0.552273\pi\) | |||||||
\(230\) | 35.6404 | 2.35006 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.05855 | 0.594723 | ||||||||
\(233\) | −2.55448 | − | 2.83703i | −0.167349 | − | 0.185860i | 0.653637 | − | 0.756808i | \(-0.273242\pi\) |
−0.820986 | + | 0.570948i | \(0.806576\pi\) | |||||||
\(234\) | −18.6277 | − | 8.29358i | −1.21773 | − | 0.542168i | ||||
\(235\) | −0.343529 | + | 3.26846i | −0.0224093 | + | 0.213211i | ||||
\(236\) | 52.0593 | + | 11.0655i | 3.38877 | + | 0.720306i | ||||
\(237\) | 1.02122 | + | 3.14299i | 0.0663353 | + | 0.204159i | ||||
\(238\) | 8.56142 | − | 4.82024i | 0.554954 | − | 0.312450i | ||||
\(239\) | 10.5202 | − | 7.64340i | 0.680498 | − | 0.494411i | −0.193025 | − | 0.981194i | \(-0.561830\pi\) |
0.873523 | + | 0.486783i | \(0.161830\pi\) | |||||||
\(240\) | −5.54473 | − | 6.15804i | −0.357910 | − | 0.397500i | ||||
\(241\) | −0.225292 | − | 0.390216i | −0.0145123 | − | 0.0251360i | 0.858678 | − | 0.512515i | \(-0.171286\pi\) |
−0.873190 | + | 0.487379i | \(0.837953\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.54551 | − | 13.0692i | 0.484045 | − | 0.838391i | ||||
\(244\) | 16.8663 | − | 51.9090i | 1.07975 | − | 3.32314i | ||||
\(245\) | −10.5708 | + | 11.2413i | −0.675346 | + | 0.718182i | ||||
\(246\) | 16.1761 | + | 11.7526i | 1.03135 | + | 0.749320i | ||||
\(247\) | −22.2387 | − | 4.72699i | −1.41502 | − | 0.300771i | ||||
\(248\) | −8.63506 | + | 9.59021i | −0.548327 | + | 0.608979i | ||||
\(249\) | 0.144412 | − | 1.37399i | 0.00915177 | − | 0.0870732i | ||||
\(250\) | 2.95046 | + | 28.0718i | 0.186604 | + | 1.77542i | ||||
\(251\) | 0.345668 | − | 1.06386i | 0.0218184 | − | 0.0671501i | −0.939554 | − | 0.342399i | \(-0.888760\pi\) |
0.961373 | + | 0.275249i | \(0.0887604\pi\) | |||||||
\(252\) | −11.5429 | + | 25.1890i | −0.727134 | + | 1.58676i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −15.4153 | + | 26.7001i | −0.967243 | + | 1.67531i | ||||
\(255\) | −2.29377 | + | 0.487556i | −0.143642 | + | 0.0305319i | ||||
\(256\) | −29.7317 | − | 13.2374i | −1.85823 | − | 0.827337i | ||||
\(257\) | −20.8650 | + | 9.28971i | −1.30152 | + | 0.579476i | −0.936221 | − | 0.351412i | \(-0.885702\pi\) |
−0.365304 | + | 0.930888i | \(0.619035\pi\) | |||||||
\(258\) | 2.89342 | + | 8.90502i | 0.180136 | + | 0.554402i | ||||
\(259\) | 8.76630 | − | 11.7954i | 0.544712 | − | 0.732929i | ||||
\(260\) | −24.6423 | − | 17.9037i | −1.52825 | − | 1.11034i | ||||
\(261\) | 0.429539 | + | 4.08679i | 0.0265878 | + | 0.252966i | ||||
\(262\) | 1.84938 | − | 0.393098i | 0.114255 | − | 0.0242857i | ||||
\(263\) | −4.59568 | − | 7.95995i | −0.283382 | − | 0.490832i | 0.688834 | − | 0.724919i | \(-0.258123\pi\) |
−0.972215 | + | 0.234088i | \(0.924790\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.671758 | 0.0412658 | ||||||||
\(266\) | −9.96056 | + | 44.4893i | −0.610721 | + | 2.72781i | ||||
\(267\) | 1.84979 | − | 1.34395i | 0.113205 | − | 0.0822483i | ||||
\(268\) | −17.5642 | + | 7.82009i | −1.07290 | + | 0.477688i | ||||
\(269\) | −10.4473 | + | 11.6029i | −0.636981 | + | 0.707440i | −0.972055 | − | 0.234752i | \(-0.924572\pi\) |
0.335074 | + | 0.942192i | \(0.391239\pi\) | |||||||
\(270\) | 14.3949 | − | 15.9872i | 0.876047 | − | 0.972949i | ||||
\(271\) | −25.3459 | + | 11.2847i | −1.53965 | + | 0.685497i | −0.988819 | − | 0.149118i | \(-0.952357\pi\) |
−0.550833 | + | 0.834616i | \(0.685690\pi\) | |||||||
\(272\) | 6.35414 | − | 4.61655i | 0.385276 | − | 0.279920i | ||||
\(273\) | 1.35551 | − | 6.05444i | 0.0820392 | − | 0.366432i | ||||
\(274\) | −14.5494 | −0.878962 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 9.73630 | + | 16.8638i | 0.586056 | + | 1.01508i | ||||
\(277\) | 14.4887 | − | 3.07967i | 0.870541 | − | 0.185039i | 0.249079 | − | 0.968483i | \(-0.419872\pi\) |
0.621462 | + | 0.783444i | \(0.286539\pi\) | |||||||
\(278\) | −1.45100 | − | 13.8054i | −0.0870252 | − | 0.827990i | ||||
\(279\) | −4.73611 | − | 3.44098i | −0.283543 | − | 0.206006i | ||||
\(280\) | −19.1025 | + | 25.7032i | −1.14159 | + | 1.53606i | ||||
\(281\) | −4.70407 | − | 14.4776i | −0.280621 | − | 0.863663i | −0.987677 | − | 0.156505i | \(-0.949977\pi\) |
0.707056 | − | 0.707157i | \(-0.250023\pi\) | |||||||
\(282\) | −2.42067 | + | 1.07775i | −0.144149 | + | 0.0641791i | ||||
\(283\) | −19.8397 | − | 8.83321i | −1.17935 | − | 0.525080i | −0.279018 | − | 0.960286i | \(-0.590009\pi\) |
−0.900331 | + | 0.435206i | \(0.856676\pi\) | |||||||
\(284\) | −46.5815 | + | 9.90121i | −2.76410 | + | 0.587529i | ||||
\(285\) | 5.44070 | − | 9.42356i | 0.322279 | − | 0.558204i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.3997 | − | 27.0587i | 0.731929 | − | 1.59722i | ||||
\(288\) | −1.64767 | + | 5.07101i | −0.0970900 | + | 0.298812i | ||||
\(289\) | 1.54465 | + | 14.6964i | 0.0908618 | + | 0.864493i | ||||
\(290\) | −0.946877 | + | 9.00893i | −0.0556025 | + | 0.529023i | ||||
\(291\) | −0.887764 | + | 0.985962i | −0.0520417 | + | 0.0577981i | ||||
\(292\) | −35.2348 | − | 7.48940i | −2.06196 | − | 0.438284i | ||||
\(293\) | 9.00240 | + | 6.54062i | 0.525926 | + | 0.382107i | 0.818832 | − | 0.574034i | \(-0.194622\pi\) |
−0.292906 | + | 0.956141i | \(0.594622\pi\) | |||||||
\(294\) | −12.1106 | − | 2.84929i | −0.706305 | − | 0.166174i | ||||
\(295\) | −8.62309 | + | 26.5391i | −0.502056 | + | 1.54517i | ||||
\(296\) | 15.2499 | − | 26.4136i | 0.886383 | − | 1.53526i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.24543 | − | 2.15715i | −0.0721459 | − | 0.124960i | ||||
\(299\) | 14.2739 | + | 15.8527i | 0.825480 | + | 0.916788i | ||||
\(300\) | −0.341277 | + | 0.247952i | −0.0197036 | + | 0.0143155i | ||||
\(301\) | 12.1456 | − | 6.83821i | 0.700061 | − | 0.394148i | ||||
\(302\) | −11.4235 | − | 35.1579i | −0.657348 | − | 2.02311i | ||||
\(303\) | −4.21944 | − | 0.896870i | −0.242400 | − | 0.0515238i | ||||
\(304\) | −3.80954 | + | 36.2454i | −0.218492 | + | 2.07881i | ||||
\(305\) | 26.1429 | + | 11.6396i | 1.49694 | + | 0.666479i | ||||
\(306\) | 6.18940 | + | 6.87403i | 0.353825 | + | 0.392962i | ||||
\(307\) | −24.9855 | −1.42600 | −0.712998 | − | 0.701166i | \(-0.752663\pi\) | ||||
−0.712998 | + | 0.701166i | \(0.752663\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.759053 | 0.0431810 | ||||||||
\(310\) | −8.63506 | − | 9.59021i | −0.490439 | − | 0.544687i | ||||
\(311\) | 31.7373 | + | 14.1303i | 1.79966 | + | 0.801259i | 0.970048 | + | 0.242912i | \(0.0781026\pi\) |
0.829608 | + | 0.558347i | \(0.188564\pi\) | |||||||
\(312\) | 1.34593 | − | 12.8056i | 0.0761980 | − | 0.724976i | ||||
\(313\) | −23.1914 | − | 4.92948i | −1.31085 | − | 0.278630i | −0.501094 | − | 0.865393i | \(-0.667069\pi\) |
−0.809759 | + | 0.586762i | \(0.800402\pi\) | |||||||
\(314\) | 4.91891 | + | 15.1389i | 0.277590 | + | 0.854335i | ||||
\(315\) | −12.5019 | − | 7.39937i | −0.704400 | − | 0.416907i | ||||
\(316\) | 15.7537 | − | 11.4457i | 0.886212 | − | 0.643871i | ||||
\(317\) | 13.1665 | + | 14.6229i | 0.739503 | + | 0.821301i | 0.989130 | − | 0.147041i | \(-0.0469748\pi\) |
−0.249627 | + | 0.968342i | \(0.580308\pi\) | |||||||
\(318\) | 0.270807 | + | 0.469051i | 0.0151861 | + | 0.0263031i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 5.73630 | − | 9.93556i | 0.320669 | − | 0.555414i | ||||
\(321\) | −1.39617 | + | 4.29697i | −0.0779267 | + | 0.239834i | ||||
\(322\) | 32.0965 | − | 28.2773i | 1.78867 | − | 1.57584i | ||||
\(323\) | 8.34396 | + | 6.06224i | 0.464270 | + | 0.337312i | ||||
\(324\) | −19.2342 | − | 4.08837i | −1.06857 | − | 0.227131i | ||||
\(325\) | −0.309220 | + | 0.343424i | −0.0171524 | + | 0.0190497i | ||||
\(326\) | −2.58939 | + | 24.6364i | −0.143413 | + | 1.36448i | ||||
\(327\) | 0.209873 | + | 1.99680i | 0.0116060 | + | 0.110424i | ||||
\(328\) | 19.0885 | − | 58.7484i | 1.05399 | − | 3.24384i | ||||
\(329\) | 2.28384 | + | 3.21602i | 0.125912 | + | 0.177305i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.0949 | − | 24.4131i | 0.774728 | − | 1.34187i | −0.160220 | − | 0.987081i | \(-0.551220\pi\) |
0.934947 | − | 0.354786i | \(-0.115446\pi\) | |||||||
\(332\) | −7.96272 | + | 1.69253i | −0.437011 | + | 0.0928896i | ||||
\(333\) | 12.6397 | + | 5.62756i | 0.692652 | + | 0.308388i | ||||
\(334\) | 4.41780 | − | 1.96693i | 0.241731 | − | 0.107626i | ||||
\(335\) | −3.11506 | − | 9.58718i | −0.170194 | − | 0.523804i | ||||
\(336\) | −9.87922 | − | 1.14650i | −0.538955 | − | 0.0625467i | ||||
\(337\) | 17.5929 | + | 12.7820i | 0.958346 | + | 0.696279i | 0.952766 | − | 0.303705i | \(-0.0982238\pi\) |
0.00558004 | + | 0.999984i | \(0.498224\pi\) | |||||||
\(338\) | 0.572589 | + | 5.44782i | 0.0311447 | + | 0.296322i | ||||
\(339\) | −8.90147 | + | 1.89207i | −0.483461 | + | 0.102763i | ||||
\(340\) | 6.90880 | + | 11.9664i | 0.374682 | + | 0.648969i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −42.9217 | −2.32094 | ||||||||
\(343\) | −0.600789 | + | 18.5105i | −0.0324396 | + | 0.999474i | ||||
\(344\) | 23.4024 | − | 17.0028i | 1.26177 | − | 0.916730i | ||||
\(345\) | −9.32697 | + | 4.15263i | −0.502147 | + | 0.223570i | ||||
\(346\) | −10.7208 | + | 11.9067i | −0.576355 | + | 0.640107i | ||||
\(347\) | 2.63734 | − | 2.92907i | 0.141580 | − | 0.157240i | −0.668184 | − | 0.743996i | \(-0.732928\pi\) |
0.809764 | + | 0.586755i | \(0.199595\pi\) | |||||||
\(348\) | −4.52137 | + | 2.01304i | −0.242371 | + | 0.107910i | ||||
\(349\) | −11.4147 | + | 8.29324i | −0.611013 | + | 0.443927i | −0.849771 | − | 0.527152i | \(-0.823260\pi\) |
0.238758 | + | 0.971079i | \(0.423260\pi\) | |||||||
\(350\) | 0.681907 | + | 0.627477i | 0.0364494 | + | 0.0335401i | ||||
\(351\) | 12.8762 | 0.687279 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 2.48434 | + | 4.30301i | 0.132228 | + | 0.229026i | 0.924535 | − | 0.381097i | \(-0.124453\pi\) |
−0.792307 | + | 0.610123i | \(0.791120\pi\) | |||||||
\(354\) | −22.0070 | + | 4.67774i | −1.16966 | + | 0.248619i | ||||
\(355\) | −2.60994 | − | 24.8319i | −0.138521 | − | 1.31794i | ||||
\(356\) | −10.8996 | − | 7.91899i | −0.577675 | − | 0.419706i | ||||
\(357\) | −1.67886 | + | 2.25897i | −0.0888547 | + | 0.119557i | ||||
\(358\) | −2.76018 | − | 8.49497i | −0.145880 | − | 0.448973i | ||||
\(359\) | 3.71958 | − | 1.65607i | 0.196312 | − | 0.0874038i | −0.306226 | − | 0.951959i | \(-0.599066\pi\) |
0.502538 | + | 0.864555i | \(0.332400\pi\) | |||||||
\(360\) | −27.5430 | − | 12.2629i | −1.45164 | − | 0.646314i | ||||
\(361\) | −28.2273 | + | 5.99989i | −1.48565 | + | 0.315784i | ||||
\(362\) | −15.2109 | + | 26.3461i | −0.799468 | + | 1.38472i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −36.3969 | + | 3.42792i | −1.90772 | + | 0.179672i | ||||
\(365\) | 5.83629 | − | 17.9623i | 0.305485 | − | 0.940187i | ||||
\(366\) | 2.41176 | + | 22.9464i | 0.126065 | + | 1.19943i | ||||
\(367\) | 1.88381 | − | 17.9233i | 0.0983342 | − | 0.935588i | −0.828468 | − | 0.560037i | \(-0.810787\pi\) |
0.926802 | − | 0.375551i | \(-0.122546\pi\) | |||||||
\(368\) | 22.8810 | − | 25.4119i | 1.19275 | − | 1.32469i | ||||
\(369\) | 27.4097 | + | 5.82610i | 1.42689 | + | 0.303295i | ||||
\(370\) | 24.6749 | + | 17.9274i | 1.28279 | + | 0.931999i | ||||
\(371\) | 0.604962 | − | 0.532977i | 0.0314081 | − | 0.0276708i | ||||
\(372\) | 2.17880 | − | 6.70566i | 0.112966 | − | 0.347672i | ||||
\(373\) | 14.4582 | − | 25.0424i | 0.748618 | − | 1.29664i | −0.199867 | − | 0.979823i | \(-0.564051\pi\) |
0.948485 | − | 0.316822i | \(-0.102616\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −4.04290 | − | 7.00250i | −0.208774 | − | 0.361608i | ||||
\(376\) | 5.47759 | + | 6.08348i | 0.282485 | + | 0.313731i | ||||
\(377\) | −4.38636 | + | 3.18688i | −0.225909 | + | 0.164133i | ||||
\(378\) | 0.279240 | − | 25.8185i | 0.0143626 | − | 1.32796i | ||||
\(379\) | 1.33139 | + | 4.09760i | 0.0683889 | + | 0.210479i | 0.979410 | − | 0.201880i | \(-0.0647049\pi\) |
−0.911021 | + | 0.412359i | \(0.864705\pi\) | |||||||
\(380\) | −62.7157 | − | 13.3306i | −3.21725 | − | 0.683847i | ||||
\(381\) | 0.923176 | − | 8.78343i | 0.0472957 | − | 0.449989i | ||||
\(382\) | 27.5549 | + | 12.2682i | 1.40983 | + | 0.627698i | ||||
\(383\) | −8.26293 | − | 9.17691i | −0.422216 | − | 0.468918i | 0.494082 | − | 0.869415i | \(-0.335504\pi\) |
−0.916298 | + | 0.400497i | \(0.868837\pi\) | |||||||
\(384\) | 12.3047 | 0.627923 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 29.7408 | 1.51377 | ||||||||
\(387\) | 8.78056 | + | 9.75180i | 0.446341 | + | 0.495712i | ||||
\(388\) | 7.14174 | + | 3.17971i | 0.362567 | + | 0.161425i | ||||
\(389\) | −3.07554 | + | 29.2618i | −0.155936 | + | 1.48363i | 0.584438 | + | 0.811438i | \(0.301315\pi\) |
−0.740374 | + | 0.672195i | \(0.765352\pi\) | |||||||
\(390\) | 12.5948 | + | 2.67710i | 0.637762 | + | 0.135560i | ||||
\(391\) | −2.99036 | − | 9.20337i | −0.151229 | − | 0.465434i | ||||
\(392\) | 3.18996 | + | 38.3034i | 0.161117 | + | 1.93462i | ||||
\(393\) | −0.438174 | + | 0.318352i | −0.0221030 | + | 0.0160587i | ||||
\(394\) | −20.2716 | − | 22.5139i | −1.02127 | − | 1.13423i | ||||
\(395\) | 5.10482 | + | 8.84180i | 0.256851 | + | 0.444879i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.64975 | − | 14.9818i | 0.434119 | − | 0.751915i | −0.563105 | − | 0.826386i | \(-0.690393\pi\) |
0.997223 | + | 0.0744702i | \(0.0237266\pi\) | |||||||
\(398\) | 1.46624 | − | 4.51262i | 0.0734959 | − | 0.226197i | ||||
\(399\) | −2.57701 | − | 12.8032i | −0.129012 | − | 0.640963i | ||||
\(400\) | 0.599304 | + | 0.435420i | 0.0299652 | + | 0.0217710i | ||||
\(401\) | 24.4052 | + | 5.18748i | 1.21874 | + | 0.259051i | 0.772005 | − | 0.635617i | \(-0.219254\pi\) |
0.446732 | + | 0.894668i | \(0.352588\pi\) | |||||||
\(402\) | 5.43841 | − | 6.03997i | 0.271243 | − | 0.301246i | ||||
\(403\) | 0.807379 | − | 7.68169i | 0.0402184 | − | 0.382652i | ||||
\(404\) | 2.65688 | + | 25.2785i | 0.132185 | + | 1.25765i | ||||
\(405\) | 3.18596 | − | 9.80536i | 0.158311 | − | 0.487232i | ||||
\(406\) | 6.29502 | + | 8.86439i | 0.312416 | + | 0.439932i | ||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −2.92056 | + | 5.05855i | −0.144589 | + | 0.250436i | ||||
\(409\) | −37.7158 | + | 8.01674i | −1.86493 | + | 0.396402i | −0.995261 | − | 0.0972401i | \(-0.968999\pi\) |
−0.869665 | + | 0.493642i | \(0.835665\pi\) | |||||||
\(410\) | 56.4313 | + | 25.1248i | 2.78694 | + | 1.24083i | ||||
\(411\) | 3.80753 | − | 1.69522i | 0.187811 | − | 0.0836190i | ||||
\(412\) | −1.38211 | − | 4.25369i | −0.0680915 | − | 0.209564i | ||||
\(413\) | 13.2907 | + | 30.7418i | 0.653991 | + | 1.51271i | ||||
\(414\) | 32.5807 | + | 23.6712i | 1.60125 | + | 1.16338i | ||||
\(415\) | −0.446147 | − | 4.24481i | −0.0219005 | − | 0.208369i | ||||
\(416\) | −6.88131 | + | 1.46267i | −0.337384 | + | 0.0717132i | ||||
\(417\) | 1.98825 | + | 3.44374i | 0.0973648 | + | 0.168641i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0.908970 | 0.0444061 | 0.0222030 | − | 0.999753i | \(-0.492932\pi\) | ||||
0.0222030 | + | 0.999753i | \(0.492932\pi\) | |||||||
\(420\) | 3.82269 | − | 17.0742i | 0.186528 | − | 0.833136i | ||||
\(421\) | −12.5828 | + | 9.14191i | −0.613246 | + | 0.445550i | −0.850556 | − | 0.525884i | \(-0.823734\pi\) |
0.237310 | + | 0.971434i | \(0.423734\pi\) | |||||||
\(422\) | 36.9651 | − | 16.4579i | 1.79943 | − | 0.801158i | ||||
\(423\) | −2.48484 | + | 2.75970i | −0.120817 | + | 0.134181i | ||||
\(424\) | 1.11963 | − | 1.24347i | 0.0543739 | − | 0.0603884i | ||||
\(425\) | 0.191512 | − | 0.0852666i | 0.00928970 | − | 0.00413604i | ||||
\(426\) | 16.2866 | − | 11.8329i | 0.789087 | − | 0.573305i | ||||
\(427\) | 32.7783 | − | 10.2597i | 1.58625 | − | 0.496503i | ||||
\(428\) | 26.6222 | 1.28683 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 14.4635 | + | 25.0514i | 0.697490 | + | 1.20809i | ||||
\(431\) | 3.45910 | − | 0.735254i | 0.166619 | − | 0.0354160i | −0.123847 | − | 0.992301i | \(-0.539523\pi\) |
0.290466 | + | 0.956885i | \(0.406190\pi\) | |||||||
\(432\) | −2.15751 | − | 20.5274i | −0.103803 | − | 0.987624i | ||||
\(433\) | −14.2757 | − | 10.3719i | −0.686044 | − | 0.498440i | 0.189313 | − | 0.981917i | \(-0.439374\pi\) |
−0.875357 | + | 0.483476i | \(0.839374\pi\) | |||||||
\(434\) | −15.3854 | − | 1.78550i | −0.738521 | − | 0.0857066i | ||||
\(435\) | −0.801878 | − | 2.46793i | −0.0384471 | − | 0.118328i | ||||
\(436\) | 10.8078 | − | 4.81196i | 0.517601 | − | 0.230451i | ||||
\(437\) | 41.0213 | + | 18.2639i | 1.96231 | + | 0.873679i | ||||
\(438\) | 14.8948 | − | 3.16599i | 0.711702 | − | 0.151277i | ||||
\(439\) | 7.51362 | − | 13.0140i | 0.358606 | − | 0.621123i | −0.629123 | − | 0.777306i | \(-0.716586\pi\) |
0.987728 | + | 0.156183i | \(0.0499190\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −17.1294 | + | 3.25544i | −0.815688 | + | 0.155021i | ||||
\(442\) | −3.77137 | + | 11.6071i | −0.179386 | + | 0.552092i | ||||
\(443\) | −1.38215 | − | 13.1502i | −0.0656677 | − | 0.624787i | −0.977018 | − | 0.213156i | \(-0.931626\pi\) |
0.911351 | − | 0.411631i | \(-0.135041\pi\) | |||||||
\(444\) | −1.74186 | + | 16.5727i | −0.0826649 | + | 0.786504i | ||||
\(445\) | 4.72660 | − | 5.24942i | 0.224062 | − | 0.248846i | ||||
\(446\) | −7.39834 | − | 1.57257i | −0.350321 | − | 0.0744631i | ||||
\(447\) | 0.577264 | + | 0.419407i | 0.0273037 | + | 0.0198373i | ||||
\(448\) | −2.71702 | − | 13.4988i | −0.128367 | − | 0.637760i | ||||
\(449\) | −3.06194 | + | 9.42367i | −0.144502 | + | 0.444731i | −0.996947 | − | 0.0780865i | \(-0.975119\pi\) |
0.852445 | + | 0.522817i | \(0.175119\pi\) | |||||||
\(450\) | −0.436212 | + | 0.755542i | −0.0205632 | + | 0.0356166i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 26.8111 | + | 46.4382i | 1.26109 | + | 2.18427i | ||||
\(453\) | 7.08589 | + | 7.86968i | 0.332924 | + | 0.369750i | ||||
\(454\) | 37.1777 | − | 27.0112i | 1.74484 | − | 1.26770i | ||||
\(455\) | 0.207295 | − | 19.1665i | 0.00971816 | − | 0.898540i | ||||
\(456\) | −8.37562 | − | 25.7775i | −0.392224 | − | 1.20714i | ||||
\(457\) | 10.1190 | + | 2.15085i | 0.473345 | + | 0.100613i | 0.438406 | − | 0.898777i | \(-0.355543\pi\) |
0.0349384 | + | 0.999389i | \(0.488876\pi\) | |||||||
\(458\) | 6.63929 | − | 63.1687i | 0.310234 | − | 2.95168i | ||||
\(459\) | −5.33612 | − | 2.37579i | −0.249069 | − | 0.110893i | ||||
\(460\) | 40.2539 | + | 44.7065i | 1.87685 | + | 2.08445i | ||||
\(461\) | 15.3372 | 0.714325 | 0.357163 | − | 0.934042i | \(-0.383744\pi\) | ||||
0.357163 | + | 0.934042i | \(0.383744\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −25.1313 | −1.16795 | −0.583976 | − | 0.811771i | \(-0.698504\pi\) | ||||
−0.583976 | + | 0.811771i | \(0.698504\pi\) | |||||||
\(464\) | 5.81555 | + | 6.45882i | 0.269980 | + | 0.299843i | ||||
\(465\) | 3.37716 | + | 1.50361i | 0.156612 | + | 0.0697282i | ||||
\(466\) | 0.993975 | − | 9.45704i | 0.0460450 | − | 0.438089i | ||||
\(467\) | 0.729712 | + | 0.155105i | 0.0337671 | + | 0.00717741i | 0.224764 | − | 0.974413i | \(-0.427839\pi\) |
−0.190997 | + | 0.981591i | \(0.561172\pi\) | |||||||
\(468\) | −10.6357 | − | 32.7332i | −0.491634 | − | 1.51309i | ||||
\(469\) | −10.4118 | − | 6.16237i | −0.480775 | − | 0.284552i | ||||
\(470\) | −6.62272 | + | 4.81169i | −0.305483 | + | 0.221947i | ||||
\(471\) | −3.05116 | − | 3.38866i | −0.140590 | − | 0.156141i | ||||
\(472\) | 34.7537 | + | 60.1951i | 1.59967 | + | 2.77070i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −4.11582 | + | 7.12881i | −0.189046 | + | 0.327437i | ||||
\(475\) | −0.300599 | + | 0.925148i | −0.0137924 | + | 0.0424487i | ||||
\(476\) | 15.7160 | + | 5.29504i | 0.720344 | + | 0.242698i | ||||
\(477\) | 0.614087 | + | 0.446160i | 0.0281171 | + | 0.0204283i | ||||
\(478\) | 31.6827 | + | 6.73437i | 1.44913 | + | 0.308023i | ||||
\(479\) | 13.4582 | − | 14.9469i | 0.614923 | − | 0.682941i | −0.352585 | − | 0.935780i | \(-0.614697\pi\) |
0.967509 | + | 0.252838i | \(0.0813641\pi\) | |||||||
\(480\) | 0.351950 | − | 3.34858i | 0.0160642 | − | 0.152841i | ||||
\(481\) | 1.90818 | + | 18.1551i | 0.0870057 | + | 0.827803i | ||||
\(482\) | 0.346822 | − | 1.06741i | 0.0157973 | − | 0.0486192i | ||||
\(483\) | −5.10482 | + | 11.1398i | −0.232277 | + | 0.506878i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.04942 | + | 3.54969i | −0.0930592 | + | 0.161183i | ||||
\(486\) | 36.7683 | − | 7.81534i | 1.66784 | − | 0.354511i | ||||
\(487\) | −3.88249 | − | 1.72860i | −0.175933 | − | 0.0783302i | 0.316880 | − | 0.948466i | \(-0.397365\pi\) |
−0.492813 | + | 0.870135i | \(0.664031\pi\) | |||||||
\(488\) | 65.1183 | − | 28.9926i | 2.94777 | − | 1.31243i | ||||
\(489\) | −2.19287 | − | 6.74895i | −0.0991648 | − | 0.305198i | ||||
\(490\) | −38.4271 | − | 0.831313i | −1.73596 | − | 0.0375549i | ||||
\(491\) | 24.5358 | + | 17.8263i | 1.10728 | + | 0.804490i | 0.982234 | − | 0.187661i | \(-0.0600906\pi\) |
0.125051 | + | 0.992150i | \(0.460091\pi\) | |||||||
\(492\) | 3.52781 | + | 33.5649i | 0.159046 | + | 1.51322i | ||||
\(493\) | 2.40581 | − | 0.511370i | 0.108352 | − | 0.0230309i | ||||
\(494\) | −28.3156 | − | 49.0440i | −1.27398 | − | 2.20659i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.3816 | −0.555948 | ||||||||
\(497\) | −22.0522 | − | 20.2920i | −0.989177 | − | 0.910221i | ||||
\(498\) | 2.78405 | − | 2.02273i | 0.124756 | − | 0.0906409i | ||||
\(499\) | 13.1928 | − | 5.87380i | 0.590589 | − | 0.262947i | −0.0896071 | − | 0.995977i | \(-0.528561\pi\) |
0.680196 | + | 0.733030i | \(0.261894\pi\) | |||||||
\(500\) | −31.8802 | + | 35.4065i | −1.42573 | + | 1.58343i | ||||
\(501\) | −0.926944 | + | 1.02948i | −0.0414128 | + | 0.0459936i | ||||
\(502\) | 2.54541 | − | 1.13329i | 0.113607 | − | 0.0505811i | ||||
\(503\) | −2.39325 | + | 1.73880i | −0.106710 | + | 0.0775292i | −0.639860 | − | 0.768491i | \(-0.721008\pi\) |
0.533151 | + | 0.846020i | \(0.321008\pi\) | |||||||
\(504\) | −34.5338 | + | 10.8092i | −1.53826 | + | 0.481481i | ||||
\(505\) | −13.3267 | −0.593032 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.784595 | − | 1.35896i | −0.0348451 | − | 0.0603534i | ||||
\(508\) | −50.9027 | + | 10.8197i | −2.25844 | + | 0.480047i | ||||
\(509\) | 2.61224 | + | 24.8538i | 0.115785 | + | 1.10163i | 0.885950 | + | 0.463780i | \(0.153507\pi\) |
−0.770165 | + | 0.637845i | \(0.779826\pi\) | |||||||
\(510\) | −4.72556 | − | 3.43332i | −0.209251 | − | 0.152030i | ||||
\(511\) | −8.99540 | − | 20.8067i | −0.397933 | − | 0.920435i | ||||
\(512\) | −14.3930 | − | 44.2970i | −0.636086 | − | 1.95767i | ||||
\(513\) | 24.7608 | − | 11.0242i | 1.09322 | − | 0.486731i | ||||
\(514\) | −51.9719 | − | 23.1394i | −2.29238 | − | 1.02063i | ||||
\(515\) | 2.29377 | − | 0.487556i | 0.101076 | − | 0.0214843i | ||||
\(516\) | −7.90228 | + | 13.6872i | −0.347879 | + | 0.602544i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 36.4450 | − | 3.43245i | 1.60130 | − | 0.150813i | ||||
\(519\) | 1.41829 | − | 4.36506i | 0.0622562 | − | 0.191605i | ||||
\(520\) | −4.15810 | − | 39.5616i | −0.182345 | − | 1.73489i | ||||
\(521\) | −3.01702 | + | 28.7050i | −0.132178 | + | 1.25759i | 0.704425 | + | 0.709779i | \(0.251205\pi\) |
−0.836603 | + | 0.547810i | \(0.815462\pi\) | |||||||
\(522\) | −6.84903 | + | 7.60662i | −0.299774 | + | 0.332933i | ||||
\(523\) | 0.462264 | + | 0.0982572i | 0.0202134 | + | 0.00429649i | 0.218007 | − | 0.975947i | \(-0.430044\pi\) |
−0.197794 | + | 0.980244i | \(0.563378\pi\) | |||||||
\(524\) | 2.58187 | + | 1.87584i | 0.112789 | + | 0.0819463i | ||||
\(525\) | −0.251563 | − | 0.0847563i | −0.0109791 | − | 0.00369907i | ||||
\(526\) | 7.07477 | − | 21.7739i | 0.308475 | − | 0.949387i | ||||
\(527\) | −1.75195 | + | 3.03447i | −0.0763162 | + | 0.132184i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.56566 | − | 16.5682i | −0.415898 | − | 0.720357i | ||||
\(530\) | 1.11963 | + | 1.24347i | 0.0486335 | + | 0.0540130i | ||||
\(531\) | −25.5092 | + | 18.5335i | −1.10701 | + | 0.804287i | ||||
\(532\) | −67.0562 | + | 37.7539i | −2.90725 | + | 1.63684i | ||||
\(533\) | 11.4251 | + | 35.1629i | 0.494876 | + | 1.52307i | ||||
\(534\) | 5.57081 | + | 1.18411i | 0.241073 | + | 0.0512415i | ||||
\(535\) | −1.45903 | + | 13.8818i | −0.0630794 | + | 0.600161i | ||||
\(536\) | −22.9385 | − | 10.2129i | −0.990792 | − | 0.441129i | ||||
\(537\) | 1.71212 | + | 1.90150i | 0.0738833 | + | 0.0820558i | ||||
\(538\) | −38.8904 | −1.67668 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 36.3122 | 1.56263 | ||||||||
\(541\) | −10.3445 | − | 11.4887i | −0.444743 | − | 0.493937i | 0.478536 | − | 0.878068i | \(-0.341168\pi\) |
−0.923279 | + | 0.384131i | \(0.874501\pi\) | |||||||
\(542\) | −63.1331 | − | 28.1087i | −2.71180 | − | 1.20737i | ||||
\(543\) | 0.910935 | − | 8.66696i | 0.0390919 | − | 0.371935i | ||||
\(544\) | 3.12162 | + | 0.663522i | 0.133839 | + | 0.0284483i | ||||
\(545\) | 1.91680 | + | 5.89931i | 0.0821068 | + | 0.252699i | ||||
\(546\) | 13.4665 | − | 7.58187i | 0.576311 | − | 0.324474i | ||||
\(547\) | −28.3512 | + | 20.5984i | −1.21221 | + | 0.880722i | −0.995430 | − | 0.0954983i | \(-0.969556\pi\) |
−0.216780 | + | 0.976220i | \(0.569556\pi\) | |||||||
\(548\) | −16.4328 | − | 18.2504i | −0.701973 | − | 0.779620i | ||||
\(549\) | 16.1679 | + | 28.0035i | 0.690027 | + | 1.19516i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −5.70644 | + | 9.88384i | −0.243102 | + | 0.421066i | ||||
\(552\) | −7.85855 | + | 24.1861i | −0.334482 | + | 1.02943i | ||||
\(553\) | 11.6124 | + | 3.91243i | 0.493808 | + | 0.166373i | ||||
\(554\) | 29.8492 | + | 21.6867i | 1.26817 | + | 0.921379i | ||||
\(555\) | −8.54612 | − | 1.81653i | −0.362763 | − | 0.0771076i | ||||
\(556\) | 15.6783 | − | 17.4125i | 0.664907 | − | 0.738454i | ||||
\(557\) | 1.10096 | − | 10.4749i | 0.0466492 | − | 0.443838i | −0.946122 | − | 0.323812i | \(-0.895036\pi\) |
0.992771 | − | 0.120026i | \(-0.0382978\pi\) | |||||||
\(558\) | −1.52422 | − | 14.5020i | −0.0645255 | − | 0.613919i | ||||
\(559\) | −5.35023 | + | 16.4663i | −0.226291 | + | 0.696451i | ||||
\(560\) | −30.5903 | + | 2.88104i | −1.29268 | + | 0.121746i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 18.9588 | − | 32.8376i | 0.799729 | − | 1.38517i | ||||
\(563\) | −30.0435 | + | 6.38595i | −1.26618 | + | 0.269136i | −0.791581 | − | 0.611065i | \(-0.790742\pi\) |
−0.474602 | + | 0.880200i | \(0.657408\pi\) | |||||||
\(564\) | −4.08592 | − | 1.81917i | −0.172048 | − | 0.0766007i | ||||
\(565\) | −25.6839 | + | 11.4352i | −1.08053 | + | 0.481083i | ||||
\(566\) | −16.7162 | − | 51.4472i | −0.702634 | − | 2.16249i | ||||
\(567\) | −4.91047 | − | 11.3581i | −0.206221 | − | 0.476996i | ||||
\(568\) | −50.3157 | − | 36.5565i | −2.11120 | − | 1.53388i | ||||
\(569\) | −3.21656 | − | 30.6035i | −0.134845 | − | 1.28297i | −0.827405 | − | 0.561606i | \(-0.810184\pi\) |
0.692560 | − | 0.721360i | \(-0.256483\pi\) | |||||||
\(570\) | 26.5118 | − | 5.63525i | 1.11046 | − | 0.236035i | ||||
\(571\) | −3.75847 | − | 6.50986i | −0.157287 | − | 0.272429i | 0.776602 | − | 0.629991i | \(-0.216941\pi\) |
−0.933889 | + | 0.357562i | \(0.883608\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −8.64045 | −0.360960 | ||||||||
\(574\) | 70.7543 | − | 22.1464i | 2.95323 | − | 0.924372i | ||||
\(575\) | 0.738394 | − | 0.536475i | 0.0307932 | − | 0.0223725i | ||||
\(576\) | 11.8427 | − | 5.27271i | 0.493446 | − | 0.219696i | ||||
\(577\) | 18.4803 | − | 20.5245i | 0.769347 | − | 0.854446i | −0.223393 | − | 0.974728i | \(-0.571713\pi\) |
0.992740 | + | 0.120282i | \(0.0383800\pi\) | |||||||
\(578\) | −24.6296 | + | 27.3539i | −1.02445 | + | 1.13777i | ||||
\(579\) | −7.78305 | + | 3.46524i | −0.323452 | + | 0.144010i | ||||
\(580\) | −12.3700 | + | 8.98735i | −0.513638 | + | 0.373179i | ||||
\(581\) | −3.76964 | − | 3.46875i | −0.156391 | − | 0.143908i | ||||
\(582\) | −3.30473 | −0.136986 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −23.5220 | − | 40.7413i | −0.973348 | − | 1.68589i | ||||
\(585\) | 17.6512 | − | 3.75187i | 0.729786 | − | 0.155121i | ||||
\(586\) | 2.89724 | + | 27.5654i | 0.119684 | + | 1.13872i | ||||
\(587\) | 24.2367 | + | 17.6090i | 1.00036 | + | 0.726801i | 0.962164 | − | 0.272469i | \(-0.0878403\pi\) |
0.0381915 | + | 0.999270i | \(0.487840\pi\) | |||||||
\(588\) | −10.1042 | − | 18.4094i | −0.416690 | − | 0.759190i | ||||
\(589\) | −5.02427 | − | 15.4631i | −0.207022 | − | 0.637147i | ||||
\(590\) | −63.4981 | + | 28.2712i | −2.61417 | + | 1.16391i | ||||
\(591\) | 7.92820 | + | 3.52986i | 0.326122 | + | 0.145199i | ||||
\(592\) | 28.6235 | − | 6.08411i | 1.17642 | − | 0.250055i | ||||
\(593\) | 6.33401 | − | 10.9708i | 0.260107 | − | 0.450518i | −0.706163 | − | 0.708049i | \(-0.749576\pi\) |
0.966270 | + | 0.257531i | \(0.0829089\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.62234 | + | 7.90471i | −0.148502 | + | 0.324062i | ||||
\(596\) | 1.29923 | − | 3.99862i | 0.0532186 | − | 0.163790i | ||||
\(597\) | 0.142077 | + | 1.35177i | 0.00581483 | + | 0.0553244i | ||||
\(598\) | −5.55412 | + | 52.8440i | −0.227125 | + | 2.16095i | ||||
\(599\) | 0.866033 | − | 0.961827i | 0.0353851 | − | 0.0392992i | −0.725192 | − | 0.688546i | \(-0.758249\pi\) |
0.760578 | + | 0.649247i | \(0.224916\pi\) | |||||||
\(600\) | −0.538878 | − | 0.114542i | −0.0219996 | − | 0.00467616i | ||||
\(601\) | −33.1875 | − | 24.1121i | −1.35375 | − | 0.983554i | −0.998815 | − | 0.0486619i | \(-0.984504\pi\) |
−0.354931 | − | 0.934892i | \(-0.615496\pi\) | |||||||
\(602\) | 32.9012 | + | 11.0851i | 1.34095 | + | 0.451793i | ||||
\(603\) | 3.51987 | − | 10.8330i | 0.143340 | − | 0.441155i | ||||
\(604\) | 31.1990 | − | 54.0383i | 1.26947 | − | 2.19879i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −5.37242 | − | 9.30531i | −0.218240 | − | 0.378002i | ||||
\(607\) | 14.1701 | + | 15.7374i | 0.575145 | + | 0.638763i | 0.958586 | − | 0.284802i | \(-0.0919278\pi\) |
−0.383441 | + | 0.923565i | \(0.625261\pi\) | |||||||
\(608\) | −11.9804 | + | 8.70430i | −0.485871 | + | 0.353006i | ||||
\(609\) | −2.68021 | − | 1.58631i | −0.108608 | − | 0.0642807i | ||||
\(610\) | 22.0270 | + | 67.7922i | 0.891847 | + | 2.74482i | ||||
\(611\) | −4.79260 | − | 1.01870i | −0.193888 | − | 0.0412121i | ||||
\(612\) | −1.63202 | + | 15.5277i | −0.0659707 | + | 0.627669i | ||||
\(613\) | −6.17842 | − | 2.75081i | −0.249544 | − | 0.111104i | 0.278153 | − | 0.960537i | \(-0.410278\pi\) |
−0.527697 | + | 0.849433i | \(0.676944\pi\) | |||||||
\(614\) | −41.6436 | − | 46.2499i | −1.68060 | − | 1.86649i | ||||
\(615\) | −17.6953 | −0.713542 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −41.0728 | −1.65353 | −0.826763 | − | 0.562550i | \(-0.809820\pi\) | ||||
−0.826763 | + | 0.562550i | \(0.809820\pi\) | |||||||
\(618\) | 1.26512 | + | 1.40506i | 0.0508907 | + | 0.0565199i | ||||
\(619\) | −27.7962 | − | 12.3757i | −1.11722 | − | 0.497420i | −0.236777 | − | 0.971564i | \(-0.576091\pi\) |
−0.880447 | + | 0.474144i | \(0.842758\pi\) | |||||||
\(620\) | 2.27690 | − | 21.6632i | 0.0914424 | − | 0.870016i | ||||
\(621\) | −24.8751 | − | 5.28736i | −0.998203 | − | 0.212175i | ||||
\(622\) | 26.7406 | + | 82.2992i | 1.07220 | + | 3.29990i | ||||
\(623\) | 0.0916890 | − | 8.47755i | 0.00367344 | − | 0.339646i | ||||
\(624\) | 9.99458 | − | 7.26149i | 0.400104 | − | 0.290692i | ||||
\(625\) | −16.2446 | − | 18.0414i | −0.649784 | − | 0.721658i | ||||
\(626\) | −29.5285 | − | 51.1449i | −1.18020 | − | 2.04416i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −13.4342 | + | 23.2687i | −0.536082 | + | 0.928521i | ||||
\(629\) | 2.55904 | − | 7.87592i | 0.102036 | − | 0.314033i | ||||
\(630\) | −7.14024 | − | 35.4745i | −0.284474 | − | 1.41334i | ||||
\(631\) | −10.0051 | − | 7.26915i | −0.398298 | − | 0.289380i | 0.370549 | − | 0.928813i | \(-0.379169\pi\) |
−0.768847 | + | 0.639432i | \(0.779169\pi\) | |||||||
\(632\) | 24.8751 | + | 5.28736i | 0.989478 | + | 0.210320i | ||||
\(633\) | −7.75602 | + | 8.61394i | −0.308274 | + | 0.342373i | ||||
\(634\) | −5.12322 | + | 48.7442i | −0.203469 | + | 1.93588i | ||||
\(635\) | −2.85206 | − | 27.1355i | −0.113180 | − | 1.07684i | ||||
\(636\) | −0.282505 | + | 0.869460i | −0.0112020 | + | 0.0344763i | ||||
\(637\) | −15.0201 | − | 17.4252i | −0.595120 | − | 0.690410i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 14.1067 | − | 24.4335i | 0.558052 | − | 0.966574i | ||||
\(640\) | 37.1835 | − | 7.90360i | 1.46981 | − | 0.312417i | ||||
\(641\) | −43.0566 | − | 19.1700i | −1.70063 | − | 0.757171i | −0.999004 | − | 0.0446288i | \(-0.985789\pi\) |
−0.701630 | − | 0.712542i | \(-0.747544\pi\) | |||||||
\(642\) | −10.2810 | + | 4.57741i | −0.405760 | + | 0.180656i | ||||
\(643\) | 0.578611 | + | 1.78078i | 0.0228182 | + | 0.0702272i | 0.961817 | − | 0.273693i | \(-0.0882451\pi\) |
−0.938999 | + | 0.343920i | \(0.888245\pi\) | |||||||
\(644\) | 71.7217 | + | 8.32342i | 2.82623 | + | 0.327989i | ||||
\(645\) | −6.70389 | − | 4.87066i | −0.263965 | − | 0.191782i | ||||
\(646\) | 2.68534 | + | 25.5493i | 0.105653 | + | 1.00522i | ||||
\(647\) | 1.79576 | − | 0.381701i | 0.0705986 | − | 0.0150062i | −0.172477 | − | 0.985014i | \(-0.555177\pi\) |
0.243076 | + | 0.970007i | \(0.421844\pi\) | |||||||
\(648\) | −12.8404 | − | 22.2402i | −0.504417 | − | 0.873676i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −1.15108 | −0.0451492 | ||||||||
\(651\) | 4.23433 | − | 1.32536i | 0.165956 | − | 0.0519451i | ||||
\(652\) | −33.8279 | + | 24.5774i | −1.32480 | + | 0.962525i | ||||
\(653\) | −16.6057 | + | 7.39332i | −0.649830 | + | 0.289323i | −0.705057 | − | 0.709151i | \(-0.749078\pi\) |
0.0552269 | + | 0.998474i | \(0.482412\pi\) | |||||||
\(654\) | −3.34643 | + | 3.71659i | −0.130856 | + | 0.145330i | ||||
\(655\) | −1.11963 | + | 1.24347i | −0.0437475 | + | 0.0485865i | ||||
\(656\) | 54.1428 | − | 24.1059i | 2.11392 | − | 0.941179i | ||||
\(657\) | 17.2652 | − | 12.5439i | 0.673579 | − | 0.489384i | ||||
\(658\) | −2.14657 | + | 9.58774i | −0.0836820 | + | 0.373769i | ||||
\(659\) | 16.8997 | 0.658318 | 0.329159 | − | 0.944275i | \(-0.393235\pi\) | ||||
0.329159 | + | 0.944275i | \(0.393235\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.6516 | + | 39.2338i | 0.881046 | + | 1.52602i | 0.850180 | + | 0.526493i | \(0.176493\pi\) |
0.0308661 | + | 0.999524i | \(0.490173\pi\) | |||||||
\(662\) | 68.6827 | − | 14.5990i | 2.66943 | − | 0.567405i | ||||
\(663\) | −0.365442 | − | 3.47695i | −0.0141926 | − | 0.135033i | ||||
\(664\) | −8.60105 | − | 6.24903i | −0.333785 | − | 0.242509i | ||||
\(665\) | −16.0112 | − | 37.0346i | −0.620888 | − | 1.43614i | ||||
\(666\) | 10.6497 | + | 32.7765i | 0.412669 | + | 1.27006i | ||||
\(667\) | 9.78252 | − | 4.35546i | 0.378781 | − | 0.168644i | ||||
\(668\) | 7.45693 | + | 3.32004i | 0.288517 | + | 0.128456i | ||||
\(669\) | 2.11934 | − | 0.450480i | 0.0819385 | − | 0.0174166i | ||||
\(670\) | 12.5547 | − | 21.7453i | 0.485028 | − | 0.840094i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −2.33983 | − | 3.29485i | −0.0902609 | − | 0.127102i | ||||
\(673\) | −12.2085 | + | 37.5740i | −0.470604 | + | 1.44837i | 0.381191 | + | 0.924496i | \(0.375514\pi\) |
−0.851795 | + | 0.523875i | \(0.824486\pi\) | |||||||
\(674\) | 5.66193 | + | 53.8696i | 0.218089 | + | 2.07498i | ||||
\(675\) | 0.0575864 | − | 0.547898i | 0.00221650 | − | 0.0210886i | ||||
\(676\) | −6.18690 | + | 6.87125i | −0.237958 | + | 0.264279i | ||||
\(677\) | −33.3880 | − | 7.09683i | −1.28320 | − | 0.272753i | −0.484667 | − | 0.874699i | \(-0.661059\pi\) |
−0.798537 | + | 0.601945i | \(0.794392\pi\) | |||||||
\(678\) | −18.3385 | − | 13.3237i | −0.704288 | − | 0.511695i | ||||
\(679\) | 0.970715 | + | 4.82275i | 0.0372526 | + | 0.185080i | ||||
\(680\) | −5.57637 | + | 17.1623i | −0.213844 | + | 0.658144i | ||||
\(681\) | −6.58206 | + | 11.4005i | −0.252225 | + | 0.436867i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −11.8931 | − | 20.5995i | −0.455079 | − | 0.788219i | 0.543614 | − | 0.839335i | \(-0.317056\pi\) |
−0.998693 | + | 0.0511160i | \(0.983722\pi\) | |||||||
\(684\) | −48.4777 | − | 53.8399i | −1.85359 | − | 2.05862i | ||||
\(685\) | 10.4170 | − | 7.56842i | 0.398014 | − | 0.289174i | ||||
\(686\) | −35.2656 | + | 29.7396i | −1.34645 | + | 1.13546i | ||||
\(687\) | 5.62259 | + | 17.3046i | 0.214515 | + | 0.660210i | ||||
\(688\) | 27.1473 | + | 5.77034i | 1.03498 | + | 0.219992i | ||||
\(689\) | −0.104685 | + | 0.996013i | −0.00398819 | + | 0.0379451i | ||||
\(690\) | −23.2322 | − | 10.3436i | −0.884435 | − | 0.393776i | ||||
\(691\) | −13.7590 | − | 15.2809i | −0.523416 | − | 0.581312i | 0.422239 | − | 0.906485i | \(-0.361244\pi\) |
−0.945655 | + | 0.325172i | \(0.894578\pi\) | |||||||
\(692\) | −27.0440 | −1.02806 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.81761 | 0.372671 | ||||||||
\(695\) | 8.22024 | + | 9.12951i | 0.311812 | + | 0.346302i | ||||
\(696\) | −5.90481 | − | 2.62899i | −0.223821 | − | 0.0996517i | ||||
\(697\) | 1.75316 | − | 16.6802i | 0.0664057 | − | 0.631808i | ||||
\(698\) | −34.3764 | − | 7.30692i | −1.30116 | − | 0.276571i | ||||
\(699\) | 0.841764 | + | 2.59068i | 0.0318385 | + | 0.0979887i | ||||
\(700\) | −0.0169162 | + | 1.56407i | −0.000639372 | + | 0.0591162i | ||||
\(701\) | −19.4089 | + | 14.1014i | −0.733063 | + | 0.532602i | −0.890531 | − | 0.454922i | \(-0.849667\pi\) |
0.157468 | + | 0.987524i | \(0.449667\pi\) | |||||||
\(702\) | 21.4609 | + | 23.8347i | 0.809988 | + | 0.899583i | ||||
\(703\) | 19.2134 | + | 33.2785i | 0.724646 | + | 1.25512i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.17251 | − | 2.03084i | 0.0441592 | − | 0.0764860i | ||||
\(706\) | −3.82450 | + | 11.7706i | −0.143937 | + | 0.442992i | ||||
\(707\) | −12.0016 | + | 10.5735i | −0.451367 | + | 0.397658i | ||||
\(708\) | −30.7234 | − | 22.3218i | −1.15465 | − | 0.838906i | ||||
\(709\) | 50.5817 | + | 10.7515i | 1.89963 | + | 0.403780i | 0.999494 | − | 0.0318184i | \(-0.0101298\pi\) |
0.900141 | + | 0.435598i | \(0.143463\pi\) | |||||||
\(710\) | 41.6156 | − | 46.2189i | 1.56181 | − | 1.73456i | ||||
\(711\) | −1.20588 | + | 11.4732i | −0.0452240 | + | 0.430278i | ||||
\(712\) | −1.83917 | − | 17.4985i | −0.0689259 | − | 0.655786i | ||||
\(713\) | −4.71410 | + | 14.5085i | −0.176544 | + | 0.543348i | ||||
\(714\) | −6.97969 | + | 0.657359i | −0.261208 | + | 0.0246010i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 7.53841 | − | 13.0569i | 0.281724 | − | 0.487960i | ||||
\(717\) | −9.07590 | + | 1.92914i | −0.338946 | + | 0.0720451i | ||||
\(718\) | 9.26498 | + | 4.12503i | 0.345766 | + | 0.153945i | ||||
\(719\) | 23.5559 | − | 10.4878i | 0.878486 | − | 0.391127i | 0.0826068 | − | 0.996582i | \(-0.473675\pi\) |
0.795880 | + | 0.605455i | \(0.207009\pi\) | |||||||
\(720\) | −8.93891 | − | 27.5111i | −0.333133 | − | 1.02528i | ||||
\(721\) | 1.67886 | − | 2.25897i | 0.0625240 | − | 0.0841284i | ||||
\(722\) | −58.1530 | − | 42.2506i | −2.16423 | − | 1.57241i | ||||
\(723\) | 0.0336068 | + | 0.319747i | 0.00124985 | + | 0.0118915i | ||||
\(724\) | −50.2278 | + | 10.6762i | −1.86670 | + | 0.396780i | ||||
\(725\) | 0.115989 | + | 0.200899i | 0.00430772 | + | 0.00746118i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 32.7330 | 1.21400 | 0.606999 | − | 0.794702i | \(-0.292373\pi\) | ||||
0.606999 | + | 0.794702i | \(0.292373\pi\) | |||||||
\(728\) | −35.1331 | − | 32.3288i | −1.30212 | − | 1.19818i | ||||
\(729\) | 2.63979 | − | 1.91792i | 0.0977698 | − | 0.0710340i | ||||
\(730\) | 42.9768 | − | 19.1345i | 1.59064 | − | 0.708201i | ||||
\(731\) | 5.25545 | − | 5.83677i | 0.194380 | − | 0.215881i | ||||
\(732\) | −26.0594 | + | 28.9419i | −0.963184 | + | 1.06972i | ||||
\(733\) | 8.48019 | − | 3.77563i | 0.313223 | − | 0.139456i | −0.244104 | − | 0.969749i | \(-0.578494\pi\) |
0.557327 | + | 0.830293i | \(0.311827\pi\) | |||||||
\(734\) | 36.3171 | − | 26.3859i | 1.34049 | − | 0.973921i | ||||
\(735\) | 10.1531 | − | 4.25976i | 0.374502 | − | 0.157124i | ||||
\(736\) | 13.8944 | 0.512156 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 34.8995 | + | 60.4477i | 1.28467 | + | 2.22511i | ||||
\(739\) | −48.9986 | + | 10.4150i | −1.80244 | + | 0.383121i | −0.982041 | − | 0.188667i | \(-0.939583\pi\) |
−0.820402 | + | 0.571788i | \(0.806250\pi\) | |||||||
\(740\) | 5.38129 | + | 51.1995i | 0.197820 | + | 1.88213i | ||||
\(741\) | 13.1244 | + | 9.53545i | 0.482138 | + | 0.350293i | ||||
\(742\) | 1.99488 | + | 0.231509i | 0.0732342 | + | 0.00849895i | ||||
\(743\) | −4.06909 | − | 12.5234i | −0.149280 | − | 0.459438i | 0.848256 | − | 0.529586i | \(-0.177653\pi\) |
−0.997537 | + | 0.0701482i | \(0.977653\pi\) | |||||||
\(744\) | 8.41205 | − | 3.74529i | 0.308401 | − | 0.137309i | ||||
\(745\) | 2.01382 | + | 0.896611i | 0.0737807 | + | 0.0328493i | ||||
\(746\) | 70.4529 | − | 14.9752i | 2.57947 | − | 0.548282i | ||||
\(747\) | 2.41142 | − | 4.17670i | 0.0882293 | − | 0.152818i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 9.69992 | + | 13.6590i | 0.354427 | + | 0.499090i | ||||
\(750\) | 6.22379 | − | 19.1549i | 0.227261 | − | 0.699437i | ||||
\(751\) | −4.31846 | − | 41.0874i | −0.157583 | − | 1.49930i | −0.732319 | − | 0.680961i | \(-0.761562\pi\) |
0.574737 | − | 0.818339i | \(-0.305105\pi\) | |||||||
\(752\) | −0.820982 | + | 7.81113i | −0.0299381 | + | 0.284842i | ||||
\(753\) | −0.534079 | + | 0.593154i | −0.0194629 | + | 0.0216157i | ||||
\(754\) | −13.2099 | − | 2.80786i | −0.481078 | − | 0.102256i | ||||
\(755\) | 26.4676 | + | 19.2298i | 0.963255 | + | 0.699846i | ||||
\(756\) | 32.7015 | − | 28.8103i | 1.18934 | − | 1.04782i | ||||
\(757\) | −14.0638 | + | 43.2839i | −0.511157 | + | 1.57318i | 0.279010 | + | 0.960288i | \(0.409994\pi\) |
−0.790167 | + | 0.612891i | \(0.790006\pi\) | |||||||
\(758\) | −5.36591 | + | 9.29402i | −0.194898 | + | 0.337574i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −41.8676 | − | 72.5168i | −1.51870 | − | 2.63046i | ||||
\(761\) | −20.9250 | − | 23.2396i | −0.758531 | − | 0.842434i | 0.232977 | − | 0.972482i | \(-0.425153\pi\) |
−0.991508 | + | 0.130049i | \(0.958487\pi\) | |||||||
\(762\) | 17.7974 | − | 12.9306i | 0.644733 | − | 0.468426i | ||||
\(763\) | 6.40675 | + | 3.79191i | 0.231940 | + | 0.137276i | ||||
\(764\) | 15.7328 | + | 48.4205i | 0.569192 | + | 1.75179i | ||||
\(765\) | −8.00724 | − | 1.70199i | −0.289502 | − | 0.0615356i | ||||
\(766\) | 3.21520 | − | 30.5906i | 0.116170 | − | 1.10528i | ||||
\(767\) | −38.0057 | − | 16.9212i | −1.37231 | − | 0.610990i | ||||
\(768\) | 15.5388 | + | 17.2576i | 0.560707 | + | 0.622729i | ||||
\(769\) | −42.0467 | −1.51624 | −0.758121 | − | 0.652114i | \(-0.773882\pi\) | ||||
−0.758121 | + | 0.652114i | \(0.773882\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 16.2969 | 0.586920 | ||||||||
\(772\) | 33.5906 | + | 37.3061i | 1.20895 | + | 1.34268i | ||||
\(773\) | 6.98361 | + | 3.10930i | 0.251183 | + | 0.111834i | 0.528466 | − | 0.848954i | \(-0.322767\pi\) |
−0.277283 | + | 0.960788i | \(0.589434\pi\) | |||||||
\(774\) | −3.41661 | + | 32.5069i | −0.122808 | + | 1.16844i | ||||
\(775\) | −0.323256 | − | 0.0687102i | −0.0116117 | − | 0.00246814i | ||||
\(776\) | 3.15495 | + | 9.70994i | 0.113256 | + | 0.348567i | ||||
\(777\) | −9.13759 | + | 5.14464i | −0.327809 | + | 0.184563i | ||||
\(778\) | −59.2918 | + | 43.0780i | −2.12571 | + | 1.54442i | ||||
\(779\) | 52.0759 | + | 57.8362i | 1.86581 | + | 2.07220i | ||||
\(780\) | 10.8670 | + | 18.8222i | 0.389102 | + | 0.673944i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 12.0520 | − | 20.8747i | 0.430980 | − | 0.746479i | ||||
\(783\) | 1.99737 | − | 6.14727i | 0.0713801 | − | 0.219685i | ||||
\(784\) | −25.2627 | + | 26.8651i | −0.902240 | + | 0.959467i | ||||
\(785\) | −11.3969 | − | 8.28030i | −0.406771 | − | 0.295537i | ||||
\(786\) | −1.31960 | − | 0.280490i | −0.0470687 | − | 0.0100048i | ||||
\(787\) | 18.6710 | − | 20.7363i | 0.665550 | − | 0.739168i | −0.311951 | − | 0.950098i | \(-0.600983\pi\) |
0.977501 | + | 0.210930i | \(0.0676492\pi\) | |||||||
\(788\) | 5.34522 | − | 50.8564i | 0.190416 | − | 1.81168i | ||||
\(789\) | 0.685538 | + | 6.52246i | 0.0244058 | + | 0.232206i | ||||
\(790\) | −7.85855 | + | 24.1861i | −0.279595 | + | 0.860504i | ||||
\(791\) | −14.0573 | + | 30.6759i | −0.499819 | + | 1.09071i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −21.3320 | + | 36.9481i | −0.757521 | + | 1.31206i | ||||
\(794\) | 42.1491 | − | 8.95906i | 1.49581 | − | 0.317945i | ||||
\(795\) | −0.437885 | − | 0.194959i | −0.0155302 | − | 0.00691448i | ||||
\(796\) | 7.31656 | − | 3.25754i | 0.259329 | − | 0.115460i | ||||
\(797\) | 3.10747 | + | 9.56381i | 0.110072 | + | 0.338767i | 0.990887 | − | 0.134693i | \(-0.0430047\pi\) |
−0.880815 | + | 0.473460i | \(0.843005\pi\) | |||||||
\(798\) | 19.4045 | − | 26.1095i | 0.686913 | − | 0.924267i | ||||
\(799\) | 1.79818 | + | 1.30646i | 0.0636151 | + | 0.0462191i | ||||
\(800\) | 0.0314631 | + | 0.299351i | 0.00111239 | + | 0.0105837i | ||||
\(801\) | 7.80731 | − | 1.65949i | 0.275858 | − | 0.0586354i | ||||
\(802\) | 31.0740 | + | 53.8218i | 1.09726 | + | 1.90051i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 13.7188 | 0.483824 | ||||||||
\(805\) | −8.27085 | + | 36.9421i | −0.291509 | + | 1.30204i | ||||
\(806\) | 15.5650 | − | 11.3087i | 0.548255 | − | 0.398331i | ||||
\(807\) | 10.1775 | − | 4.53130i | 0.358263 | − | 0.159509i | ||||
\(808\) | −22.2119 | + | 24.6688i | −0.781410 | + | 0.867844i | ||||
\(809\) | −25.8101 | + | 28.6650i | −0.907435 | + | 1.00781i | 0.0924920 | + | 0.995713i | \(0.470517\pi\) |
−0.999927 | + | 0.0120950i | \(0.996150\pi\) | |||||||
\(810\) | 23.4605 | − | 10.4453i | 0.824318 | − | 0.367010i | ||||
\(811\) | 10.0124 | − | 7.27443i | 0.351583 | − | 0.255440i | −0.397950 | − | 0.917407i | \(-0.630278\pi\) |
0.749533 | + | 0.661967i | \(0.230278\pi\) | |||||||
\(812\) | −4.00940 | + | 17.9082i | −0.140702 | + | 0.628453i | ||||
\(813\) | 19.7968 | 0.694303 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −10.9616 | − | 18.9860i | −0.383968 | − | 0.665051i | ||||
\(816\) | −5.48177 | + | 1.16519i | −0.191900 | + | 0.0407897i | ||||
\(817\) | 3.80954 | + | 36.2454i | 0.133279 | + | 1.26806i | ||||
\(818\) | −77.7010 | − | 56.4531i | −2.71675 | − | 1.97383i | ||||
\(819\) | 12.9193 | − | 17.3834i | 0.451436 | − | 0.607424i | ||||
\(820\) | 32.2201 | + | 99.1632i | 1.12517 | + | 3.46293i | ||||
\(821\) | −27.1671 | + | 12.0956i | −0.948139 | + | 0.422139i | −0.821754 | − | 0.569843i | \(-0.807004\pi\) |
−0.126385 | + | 0.991981i | \(0.540338\pi\) | |||||||
\(822\) | 9.48403 | + | 4.22256i | 0.330793 | + | 0.147279i | ||||
\(823\) | −39.8859 | + | 8.47801i | −1.39034 | + | 0.295525i | −0.841433 | − | 0.540361i | \(-0.818288\pi\) |
−0.548903 | + | 0.835886i | \(0.684954\pi\) | |||||||
\(824\) | 2.92056 | − | 5.05855i | 0.101742 | − | 0.176223i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −34.7537 | + | 75.8398i | −1.20923 | + | 2.63880i | ||||
\(827\) | 5.82222 | − | 17.9190i | 0.202459 | − | 0.623103i | −0.797350 | − | 0.603518i | \(-0.793765\pi\) |
0.999808 | − | 0.0195857i | \(-0.00623473\pi\) | |||||||
\(828\) | 7.10544 | + | 67.6038i | 0.246931 | + | 2.34939i | ||||
\(829\) | 3.25508 | − | 30.9700i | 0.113054 | − | 1.07563i | −0.780030 | − | 0.625742i | \(-0.784796\pi\) |
0.893083 | − | 0.449891i | \(-0.148537\pi\) | |||||||
\(830\) | 7.11385 | − | 7.90073i | 0.246925 | − | 0.274238i | ||||
\(831\) | −10.3382 | − | 2.19746i | −0.358629 | − | 0.0762290i | ||||
\(832\) | 13.8375 | + | 10.0535i | 0.479728 | + | 0.348543i | ||||
\(833\) | 3.00949 | + | 9.99270i | 0.104273 | + | 0.346226i | ||||
\(834\) | −3.06078 | + | 9.42012i | −0.105986 | + | 0.326192i | ||||
\(835\) | −2.13986 | + | 3.70635i | −0.0740530 | + | 0.128264i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 4.60407 | + | 7.97448i | 0.159140 | + | 0.275638i | ||||
\(838\) | 1.51499 | + | 1.68257i | 0.0523345 | + | 0.0581234i | ||||
\(839\) | −8.29961 | + | 6.03002i | −0.286534 | + | 0.208179i | −0.721763 | − | 0.692141i | \(-0.756668\pi\) |
0.435228 | + | 0.900320i | \(0.356668\pi\) | |||||||
\(840\) | 19.9116 | − | 11.2106i | 0.687015 | − | 0.386803i | ||||
\(841\) | −8.12045 | − | 24.9922i | −0.280015 | − | 0.861799i | ||||
\(842\) | −37.8942 | − | 8.05466i | −1.30592 | − | 0.277582i | ||||
\(843\) | −1.13538 | + | 10.8025i | −0.0391047 | + | 0.372056i | ||||
\(844\) | 62.3944 | + | 27.7798i | 2.14770 | + | 0.956219i | ||||
\(845\) | −3.24384 | − | 3.60265i | −0.111592 | − | 0.123935i | ||||
\(846\) | −9.24992 | −0.318019 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.60540 | 0.0551297 | ||||||||
\(849\) | 10.3689 | + | 11.5158i | 0.355860 | + | 0.395223i | ||||
\(850\) | 0.477030 | + | 0.212388i | 0.0163620 | + | 0.00728483i | ||||
\(851\) | 3.76872 | − | 35.8570i | 0.129190 | − | 1.22916i | ||||
\(852\) | 33.2377 | + | 7.06489i | 1.13870 | + | 0.242039i | ||||
\(853\) | −0.940756 | − | 2.89535i | −0.0322109 | − | 0.0991348i | 0.933659 | − | 0.358164i | \(-0.116597\pi\) |
−0.965869 | + | 0.259030i | \(0.916597\pi\) | |||||||
\(854\) | 73.6235 | + | 43.5749i | 2.51934 | + | 1.49110i | ||||
\(855\) | 30.7309 | − | 22.3273i | 1.05097 | − | 0.763577i | ||||
\(856\) | 23.2643 | + | 25.8377i | 0.795159 | + | 0.883114i | ||||
\(857\) | 24.7766 | + | 42.9143i | 0.846352 | + | 1.46592i | 0.884442 | + | 0.466650i | \(0.154539\pi\) |
−0.0380904 | + | 0.999274i | \(0.512127\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −18.4373 | + | 31.9344i | −0.629074 | + | 1.08959i | 0.358664 | + | 0.933467i | \(0.383232\pi\) |
−0.987738 | + | 0.156121i | \(0.950101\pi\) | |||||||
\(860\) | −15.0882 | + | 46.4368i | −0.514505 | + | 1.58348i | ||||
\(861\) | −15.9357 | + | 14.0395i | −0.543089 | + | 0.478466i | ||||
\(862\) | 7.12634 | + | 5.17759i | 0.242724 | + | 0.176349i | ||||
\(863\) | 45.4086 | + | 9.65189i | 1.54573 | + | 0.328554i | 0.900300 | − | 0.435270i | \(-0.143347\pi\) |
0.645425 | + | 0.763824i | \(0.276680\pi\) | |||||||
\(864\) | 5.61186 | − | 6.23260i | 0.190919 | − | 0.212037i | ||||
\(865\) | 1.48215 | − | 14.1017i | 0.0503946 | − | 0.479473i | ||||
\(866\) | −4.59434 | − | 43.7122i | −0.156122 | − | 1.48540i | ||||
\(867\) | 3.25833 | − | 10.0281i | 0.110659 | − | 0.340573i | ||||
\(868\) | −15.1372 | − | 21.3157i | −0.513792 | − | 0.723501i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 3.23181 | − | 5.59766i | 0.109569 | − | 0.189778i | ||||
\(871\) | 14.7003 | − | 3.12465i | 0.498102 | − | 0.105875i | ||||
\(872\) | 14.1148 | + | 6.28432i | 0.477988 | + | 0.212814i | ||||
\(873\) | −4.23107 | + | 1.88379i | −0.143200 | + | 0.0637567i | ||||
\(874\) | 34.5630 | + | 106.374i | 1.16911 | + | 3.59815i | ||||
\(875\) | −29.7817 | − | 3.45622i | −1.00681 | − | 0.116841i | ||||
\(876\) | 20.7942 | + | 15.1079i | 0.702572 | + | 0.510448i | ||||
\(877\) | 4.07985 | + | 38.8172i | 0.137767 | + | 1.31076i | 0.816914 | + | 0.576760i | \(0.195683\pi\) |
−0.679147 | + | 0.734002i | \(0.737650\pi\) | |||||||
\(878\) | 36.6129 | − | 7.78230i | 1.23562 | − | 0.262640i | ||||
\(879\) | −3.96997 | − | 6.87620i | −0.133904 | − | 0.231928i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −44.0049 | −1.48256 | −0.741281 | − | 0.671194i | \(-0.765782\pi\) | ||||
−0.741281 | + | 0.671194i | \(0.765782\pi\) | |||||||
\(882\) | −34.5759 | − | 26.2820i | −1.16423 | − | 0.884960i | ||||
\(883\) | 18.8983 | − | 13.7304i | 0.635978 | − | 0.462065i | −0.222488 | − | 0.974935i | \(-0.571418\pi\) |
0.858466 | + | 0.512871i | \(0.171418\pi\) | |||||||
\(884\) | −18.8192 | + | 8.37884i | −0.632958 | + | 0.281811i | ||||
\(885\) | 13.3232 | − | 14.7969i | 0.447854 | − | 0.497393i | ||||
\(886\) | 22.0384 | − | 24.4761i | 0.740395 | − | 0.822292i | ||||
\(887\) | −38.2936 | + | 17.0494i | −1.28577 | + | 0.572464i | −0.931861 | − | 0.362815i | \(-0.881816\pi\) |
−0.353913 | + | 0.935278i | \(0.615149\pi\) | |||||||
\(888\) | −17.6065 | + | 12.7918i | −0.590834 | + | 0.429266i | ||||
\(889\) | −24.0979 | − | 22.1744i | −0.808219 | − | 0.743707i | ||||
\(890\) | 17.5949 | 0.589783 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −6.38343 | − | 11.0564i | −0.213733 | − | 0.370196i | ||||
\(893\) | −10.0883 | + | 2.14434i | −0.337593 | + | 0.0717576i | ||||
\(894\) | 0.185781 | + | 1.76759i | 0.00621345 | + | 0.0591170i | ||||
\(895\) | 6.39520 | + | 4.64638i | 0.213768 | + | 0.155311i | ||||
\(896\) | 27.2154 | − | 36.6193i | 0.909203 | − | 1.22337i | ||||
\(897\) | −4.70360 | − | 14.4762i | −0.157049 | − | 0.483346i | ||||
\(898\) | −22.5473 | + | 10.0387i | −0.752412 | + | 0.334995i | ||||
\(899\) | −3.54211 | − | 1.57705i | −0.118136 | − | 0.0525976i | ||||
\(900\) | −1.44041 | + | 0.306169i | −0.0480137 | + | 0.0102056i | ||||
\(901\) | 0.227159 | − | 0.393451i | 0.00756776 | − | 0.0131078i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −9.90170 | + | 0.932559i | −0.329508 | + | 0.0310336i | ||||
\(904\) | −21.6403 | + | 66.6020i | −0.719746 | + | 2.21515i | ||||
\(905\) | −2.81424 | − | 26.7757i | −0.0935484 | − | 0.890054i | ||||
\(906\) | −2.75720 | + | 26.2330i | −0.0916018 | + | 0.871533i | ||||
\(907\) | −13.7293 | + | 15.2479i | −0.455874 | + | 0.506299i | −0.926635 | − | 0.375961i | \(-0.877313\pi\) |
0.470762 | + | 0.882260i | \(0.343979\pi\) | |||||||
\(908\) | 75.8723 | + | 16.1272i | 2.51791 | + | 0.535199i | ||||
\(909\) | −12.1826 | − | 8.85120i | −0.404072 | − | 0.293576i | ||||
\(910\) | 35.8241 | − | 31.5613i | 1.18756 | − | 1.04625i | ||||
\(911\) | 8.55220 | − | 26.3210i | 0.283347 | − | 0.872052i | −0.703542 | − | 0.710653i | \(-0.748399\pi\) |
0.986889 | − | 0.161399i | \(-0.0516006\pi\) | |||||||
\(912\) | 13.0025 | − | 22.5209i | 0.430554 | − | 0.745742i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 12.8840 | + | 22.3158i | 0.426165 | + | 0.738140i | ||||
\(915\) | −13.6632 | − | 15.1745i | −0.451690 | − | 0.501653i | ||||
\(916\) | 86.7360 | − | 63.0174i | 2.86584 | − | 2.08215i | ||||
\(917\) | −0.0217191 | + | 2.00815i | −0.000717229 | + | 0.0663149i | ||||
\(918\) | −4.49602 | − | 13.8373i | −0.148391 | − | 0.456700i | ||||
\(919\) | 0.942401 | + | 0.200313i | 0.0310869 | + | 0.00660773i | 0.223429 | − | 0.974720i | \(-0.428275\pi\) |
−0.192342 | + | 0.981328i | \(0.561608\pi\) | |||||||
\(920\) | −8.21237 | + | 78.1355i | −0.270754 | + | 2.57605i | ||||
\(921\) | 16.2868 | + | 7.25133i | 0.536667 | + | 0.238939i | ||||
\(922\) | 25.5627 | + | 28.3903i | 0.841864 | + | 0.934984i | ||||
\(923\) | 37.2249 | 1.22527 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.781061 | 0.0256811 | ||||||||
\(926\) | −41.8867 | − | 46.5199i | −1.37648 | − | 1.52874i | ||||
\(927\) | 2.42067 | + | 1.07775i | 0.0795051 | + | 0.0353980i | ||||
\(928\) | −0.369140 | + | 3.51213i | −0.0121176 | + | 0.115291i | ||||
\(929\) | −25.7566 | − | 5.47473i | −0.845045 | − | 0.179620i | −0.235009 | − | 0.971993i | \(-0.575512\pi\) |
−0.610037 | + | 0.792373i | \(0.708845\pi\) | |||||||
\(930\) | 2.84547 | + | 8.75746i | 0.0933067 | + | 0.287168i | ||||
\(931\) | −43.8026 | − | 20.6487i | −1.43557 | − | 0.676733i | ||||
\(932\) | 12.9853 | − | 9.43439i | 0.425349 | − | 0.309034i | ||||
\(933\) | −16.5870 | − | 18.4217i | −0.543034 | − | 0.603100i | ||||
\(934\) | 0.929110 | + | 1.60927i | 0.0304014 | + | 0.0526568i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 22.4745 | − | 38.9269i | 0.734601 | − | 1.27237i | ||||
\(937\) | 6.60878 | − | 20.3397i | 0.215899 | − | 0.664470i | −0.783189 | − | 0.621784i | \(-0.786408\pi\) |
0.999089 | − | 0.0426865i | \(-0.0135917\pi\) | |||||||
\(938\) | −5.94657 | − | 29.5440i | −0.194162 | − | 0.964646i | ||||
\(939\) | 13.6866 | + | 9.94392i | 0.446646 | + | 0.324508i | ||||
\(940\) | −13.5157 | − | 2.87284i | −0.440832 | − | 0.0937018i | ||||
\(941\) | −9.91842 | + | 11.0155i | −0.323331 | + | 0.359096i | −0.882794 | − | 0.469760i | \(-0.844341\pi\) |
0.559463 | + | 0.828855i | \(0.311007\pi\) | |||||||
\(942\) | 1.18724 | − | 11.2958i | 0.0386824 | − | 0.368038i | ||||
\(943\) | −7.63284 | − | 72.6217i | −0.248560 | − | 2.36489i | ||||
\(944\) | −20.6079 | + | 63.4246i | −0.670730 | + | 2.06429i | ||||
\(945\) | 13.2305 | + | 18.6307i | 0.430389 | + | 0.606056i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −15.8560 | + | 27.4634i | −0.515251 | + | 0.892442i | 0.484592 | + | 0.874740i | \(0.338968\pi\) |
−0.999843 | + | 0.0177013i | \(0.994365\pi\) | |||||||
\(948\) | −13.5908 | + | 2.88881i | −0.441409 | + | 0.0938243i | ||||
\(949\) | 25.7231 | + | 11.4526i | 0.835006 | + | 0.371768i | ||||
\(950\) | −2.21353 | + | 0.985526i | −0.0718163 | + | 0.0319747i | ||||
\(951\) | −4.33869 | − | 13.3531i | −0.140692 | − | 0.433004i | ||||
\(952\) | 8.59479 | + | 19.8801i | 0.278559 | + | 0.644318i | ||||
\(953\) | 40.4201 | + | 29.3669i | 1.30933 | + | 0.951287i | 1.00000 | 0.000333943i | \(0.000106297\pi\) | |
0.309335 | + | 0.950953i | \(0.399894\pi\) | |||||||
\(954\) | 0.197632 | + | 1.88034i | 0.00639856 | + | 0.0608783i | ||||
\(955\) | −26.1104 | + | 5.54995i | −0.844914 | + | 0.179592i | ||||
\(956\) | 27.3365 | + | 47.3481i | 0.884124 | + | 1.53135i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 50.0988 | 1.61862 | ||||||||
\(959\) | 3.37639 | − | 15.0808i | 0.109029 | − | 0.486984i | ||||
\(960\) | −6.62272 | + | 4.81169i | −0.213747 | + | 0.155296i | ||||
\(961\) | −23.2738 | + | 10.3622i | −0.750767 | + | 0.334263i | ||||
\(962\) | −30.4261 | + | 33.7916i | −0.980977 | + | 1.08949i | ||||
\(963\) | −10.5536 | + | 11.7209i | −0.340085 | + | 0.377702i | ||||
\(964\) | 1.73065 | − | 0.770535i | 0.0557405 | − | 0.0248173i | ||||
\(965\) | −21.2937 | + | 15.4708i | −0.685468 | + | 0.498022i | ||||
\(966\) | −29.1288 | + | 9.11745i | −0.937205 | + | 0.293349i | ||||
\(967\) | 52.4581 | 1.68694 | 0.843469 | − | 0.537178i | \(-0.180510\pi\) | ||||
0.843469 | + | 0.537178i | \(0.180510\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.67961 | − | 6.37327i | −0.118206 | − | 0.204739i | ||||
\(970\) | −9.98653 | + | 2.12270i | −0.320648 | + | 0.0681559i | ||||
\(971\) | −3.22225 | − | 30.6577i | −0.103407 | − | 0.983853i | −0.916043 | − | 0.401081i | \(-0.868635\pi\) |
0.812636 | − | 0.582772i | \(-0.198032\pi\) | |||||||
\(972\) | 51.3311 | + | 37.2942i | 1.64645 | + | 1.19621i | ||||
\(973\) | 14.6463 | + | 1.69972i | 0.469538 | + | 0.0544907i | ||||
\(974\) | −3.27124 | − | 10.0678i | −0.104817 | − | 0.322595i | ||||
\(975\) | 0.301234 | − | 0.134118i | 0.00964720 | − | 0.00429521i | ||||
\(976\) | 62.4776 | + | 27.8168i | 1.99986 | + | 0.890394i | ||||
\(977\) | −24.1950 | + | 5.14281i | −0.774067 | + | 0.164533i | −0.577977 | − | 0.816053i | \(-0.696158\pi\) |
−0.196090 | + | 0.980586i | \(0.562824\pi\) | |||||||
\(978\) | 8.83791 | − | 15.3077i | 0.282605 | − | 0.489487i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −42.3585 | − | 49.1409i | −1.35309 | − | 1.56975i | ||||
\(981\) | −2.16589 | + | 6.66593i | −0.0691516 | + | 0.212827i | ||||
\(982\) | 7.89636 | + | 75.1289i | 0.251983 | + | 2.39746i | ||||
\(983\) | −1.27774 | + | 12.1569i | −0.0407536 | + | 0.387744i | 0.955065 | + | 0.296395i | \(0.0957845\pi\) |
−0.995819 | + | 0.0913490i | \(0.970882\pi\) | |||||||
\(984\) | −29.4929 | + | 32.7552i | −0.940200 | + | 1.04420i | ||||
\(985\) | 26.2254 | + | 5.57438i | 0.835611 | + | 0.177615i | ||||
\(986\) | 4.95637 | + | 3.60101i | 0.157843 | + | 0.114680i | ||||
\(987\) | −0.555363 | − | 2.75918i | −0.0176774 | − | 0.0878257i | ||||
\(988\) | 29.5387 | − | 90.9109i | 0.939752 | − | 2.89226i | ||||
\(989\) | 17.0975 | − | 29.6138i | 0.543670 | − | 0.941665i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.30008 | − | 3.98386i | −0.0730645 | − | 0.126552i | 0.827178 | − | 0.561939i | \(-0.189945\pi\) |
−0.900243 | + | 0.435388i | \(0.856611\pi\) | |||||||
\(992\) | −3.36638 | − | 3.73874i | −0.106883 | − | 0.118705i | ||||
\(993\) | −16.2730 | + | 11.8230i | −0.516408 | + | 0.375192i | ||||
\(994\) | 0.807282 | − | 74.6412i | 0.0256054 | − | 2.36748i | ||||
\(995\) | 1.29761 | + | 3.99365i | 0.0411371 | + | 0.126607i | ||||
\(996\) | 5.68170 | + | 1.20768i | 0.180032 | + | 0.0382669i | ||||
\(997\) | −3.60376 | + | 34.2875i | −0.114132 | + | 1.08589i | 0.776170 | + | 0.630524i | \(0.217160\pi\) |
−0.890302 | + | 0.455371i | \(0.849507\pi\) | |||||||
\(998\) | 32.8614 | + | 14.6308i | 1.04021 | + | 0.463131i | ||||
\(999\) | −14.5621 | − | 16.1729i | −0.460726 | − | 0.511688i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))