Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [128,5,Mod(3,128)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(128, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 3]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("128.3");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 128 = 2^{7} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 128.l (of order \(32\), degree \(16\), 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: | \(13.2313552747\) |
Analytic rank: | \(0\) |
Dimension: | \(1008\) |
Relative dimension: | \(63\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Character | \(\chi\) | \(=\) | 128.3 |
Dual form | 128.5.l.a.43.3 |
$q$-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 \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.93898 | + | 0.696008i | −0.984745 | + | 0.174002i | ||||
\(3\) | 6.46187 | − | 5.30312i | 0.717985 | − | 0.589235i | −0.202839 | − | 0.979212i | \(-0.565017\pi\) |
0.920825 | + | 0.389977i | \(0.127517\pi\) | |||||||
\(4\) | 15.0311 | − | 5.48312i | 0.939447 | − | 0.342695i | ||||
\(5\) | −28.0844 | − | 8.51932i | −1.12338 | − | 0.340773i | −0.326670 | − | 0.945138i | \(-0.605927\pi\) |
−0.796707 | + | 0.604366i | \(0.793427\pi\) | |||||||
\(6\) | −21.7622 | + | 25.3864i | −0.604504 | + | 0.705178i | ||||
\(7\) | 0.922571 | + | 4.63808i | 0.0188280 | + | 0.0946547i | 0.989057 | − | 0.147536i | \(-0.0471341\pi\) |
−0.970229 | + | 0.242190i | \(0.922134\pi\) | |||||||
\(8\) | −55.3911 | + | 32.0597i | −0.865486 | + | 0.500933i | ||||
\(9\) | −2.16964 | + | 10.9075i | −0.0267857 | + | 0.134661i | ||||
\(10\) | 116.554 | + | 14.0104i | 1.16554 | + | 0.140104i | ||||
\(11\) | 9.26117 | + | 94.0302i | 0.0765386 | + | 0.777109i | 0.954467 | + | 0.298317i | \(0.0964253\pi\) |
−0.877928 | + | 0.478792i | \(0.841075\pi\) | |||||||
\(12\) | 68.0516 | − | 115.143i | 0.472581 | − | 0.799605i | ||||
\(13\) | 63.0563 | + | 207.869i | 0.373114 | + | 1.22999i | 0.919711 | + | 0.392597i | \(0.128423\pi\) |
−0.546596 | + | 0.837396i | \(0.684077\pi\) | |||||||
\(14\) | −6.86213 | − | 17.6272i | −0.0350109 | − | 0.0899346i | ||||
\(15\) | −226.657 | + | 93.8843i | −1.00736 | + | 0.417264i | ||||
\(16\) | 195.871 | − | 164.835i | 0.765120 | − | 0.643888i | ||||
\(17\) | −47.6951 | + | 115.146i | −0.165035 | + | 0.398430i | −0.984663 | − | 0.174466i | \(-0.944180\pi\) |
0.819628 | + | 0.572896i | \(0.194180\pi\) | |||||||
\(18\) | 0.954454 | − | 44.4746i | 0.00294585 | − | 0.137267i | ||||
\(19\) | 321.819 | − | 602.081i | 0.891466 | − | 1.66782i | 0.158709 | − | 0.987325i | \(-0.449267\pi\) |
0.732757 | − | 0.680490i | \(-0.238233\pi\) | |||||||
\(20\) | −468.854 | + | 25.9353i | −1.17213 | + | 0.0648382i | ||||
\(21\) | 30.5578 | + | 25.0781i | 0.0692921 | + | 0.0568665i | ||||
\(22\) | −101.925 | − | 363.937i | −0.210590 | − | 0.751937i | ||||
\(23\) | 507.473 | − | 339.083i | 0.959306 | − | 0.640988i | 0.0258447 | − | 0.999666i | \(-0.491772\pi\) |
0.933461 | + | 0.358678i | \(0.116772\pi\) | |||||||
\(24\) | −187.913 | + | 500.911i | −0.326239 | + | 0.869637i | ||||
\(25\) | 196.488 | + | 131.289i | 0.314381 | + | 0.210062i | ||||
\(26\) | −393.056 | − | 774.904i | −0.581444 | − | 1.14631i | ||||
\(27\) | 363.010 | + | 679.144i | 0.497956 | + | 0.931611i | ||||
\(28\) | 39.2985 | + | 64.6571i | 0.0501256 | + | 0.0824707i | ||||
\(29\) | −118.546 | + | 1203.62i | −0.140959 | + | 1.43118i | 0.621130 | + | 0.783707i | \(0.286674\pi\) |
−0.762089 | + | 0.647472i | \(0.775826\pi\) | |||||||
\(30\) | 827.453 | − | 527.563i | 0.919392 | − | 0.586182i | ||||
\(31\) | 1052.39 | + | 1052.39i | 1.09509 | + | 1.09509i | 0.994975 | + | 0.100119i | \(0.0319223\pi\) |
0.100119 | + | 0.994975i | \(0.468078\pi\) | |||||||
\(32\) | −656.804 | + | 785.611i | −0.641410 | + | 0.767198i | ||||
\(33\) | 558.498 | + | 558.498i | 0.512854 | + | 0.512854i | ||||
\(34\) | 107.728 | − | 486.755i | 0.0931899 | − | 0.421068i | ||||
\(35\) | 13.6034 | − | 138.117i | 0.0111048 | − | 0.112749i | ||||
\(36\) | 27.1951 | + | 175.849i | 0.0209839 | + | 0.135686i | ||||
\(37\) | −5.20680 | − | 9.74124i | −0.00380336 | − | 0.00711559i | 0.880012 | − | 0.474951i | \(-0.157534\pi\) |
−0.883816 | + | 0.467835i | \(0.845034\pi\) | |||||||
\(38\) | −848.586 | + | 2595.58i | −0.587664 | + | 1.79749i | ||||
\(39\) | 1509.81 | + | 1008.83i | 0.992646 | + | 0.663265i | ||||
\(40\) | 1828.75 | − | 428.485i | 1.14297 | − | 0.267803i | ||||
\(41\) | 612.421 | − | 409.207i | 0.364319 | − | 0.243430i | −0.359914 | − | 0.932986i | \(-0.617194\pi\) |
0.724233 | + | 0.689555i | \(0.242194\pi\) | |||||||
\(42\) | −137.821 | − | 77.5139i | −0.0781299 | − | 0.0439421i | ||||
\(43\) | −93.4742 | − | 76.7123i | −0.0505539 | − | 0.0414886i | 0.608777 | − | 0.793341i | \(-0.291660\pi\) |
−0.659331 | + | 0.751853i | \(0.729160\pi\) | |||||||
\(44\) | 654.785 | + | 1362.60i | 0.338216 | + | 0.703823i | ||||
\(45\) | 153.858 | − | 287.848i | 0.0759792 | − | 0.142147i | ||||
\(46\) | −1762.92 | + | 1688.84i | −0.833139 | + | 0.798131i | ||||
\(47\) | −716.417 | + | 1729.58i | −0.324318 | + | 0.782972i | 0.674676 | + | 0.738114i | \(0.264283\pi\) |
−0.998993 | + | 0.0448576i | \(0.985717\pi\) | |||||||
\(48\) | 391.550 | − | 2103.87i | 0.169943 | − | 0.913138i | ||||
\(49\) | 2197.57 | − | 910.265i | 0.915275 | − | 0.379119i | ||||
\(50\) | −865.340 | − | 380.388i | −0.346136 | − | 0.152155i | ||||
\(51\) | 302.434 | + | 996.992i | 0.116276 | + | 0.383311i | ||||
\(52\) | 2087.58 | + | 2778.76i | 0.772034 | + | 1.02765i | ||||
\(53\) | 200.197 | + | 2032.64i | 0.0712700 | + | 0.723616i | 0.962720 | + | 0.270498i | \(0.0871884\pi\) |
−0.891450 | + | 0.453118i | \(0.850312\pi\) | |||||||
\(54\) | −1902.58 | − | 2422.48i | −0.652462 | − | 0.830754i | ||||
\(55\) | 540.979 | − | 2719.68i | 0.178836 | − | 0.899069i | ||||
\(56\) | −199.798 | − | 227.331i | −0.0637110 | − | 0.0724907i | ||||
\(57\) | −1113.36 | − | 5597.22i | −0.342676 | − | 1.72275i | ||||
\(58\) | −370.778 | − | 4823.55i | −0.110219 | − | 1.43387i | ||||
\(59\) | −1105.97 | − | 335.493i | −0.317717 | − | 0.0963784i | 0.127398 | − | 0.991852i | \(-0.459337\pi\) |
−0.445115 | + | 0.895473i | \(0.646837\pi\) | |||||||
\(60\) | −2892.13 | + | 2653.98i | −0.803370 | + | 0.737216i | ||||
\(61\) | −4909.36 | + | 4029.01i | −1.31937 | + | 1.08278i | −0.328997 | + | 0.944331i | \(0.606711\pi\) |
−0.990370 | + | 0.138446i | \(0.955789\pi\) | |||||||
\(62\) | −4877.80 | − | 3412.86i | −1.26894 | − | 0.887840i | ||||
\(63\) | −52.5916 | −0.0132506 | ||||||||
\(64\) | 2040.35 | − | 3551.65i | 0.498132 | − | 0.867101i | ||||
\(65\) | − | 6375.08i | − | 1.50889i | ||||||
\(66\) | −2588.63 | − | 1811.19i | −0.594268 | − | 0.415793i | ||||
\(67\) | 2217.87 | + | 2702.48i | 0.494067 | + | 0.602022i | 0.959029 | − | 0.283309i | \(-0.0914321\pi\) |
−0.464962 | + | 0.885331i | \(0.653932\pi\) | |||||||
\(68\) | −85.5513 | + | 1992.30i | −0.0185016 | + | 0.430860i | ||||
\(69\) | 1481.03 | − | 4882.29i | 0.311075 | − | 1.02548i | ||||
\(70\) | 42.5474 | + | 553.510i | 0.00868314 | + | 0.112961i | ||||
\(71\) | −9758.56 | + | 1941.10i | −1.93584 | + | 0.385062i | −0.936423 | + | 0.350874i | \(0.885884\pi\) |
−0.999415 | + | 0.0341880i | \(0.989116\pi\) | |||||||
\(72\) | −229.513 | − | 673.738i | −0.0442734 | − | 0.129965i | ||||
\(73\) | 3559.65 | + | 708.058i | 0.667976 | + | 0.132869i | 0.517419 | − | 0.855732i | \(-0.326893\pi\) |
0.150558 | + | 0.988601i | \(0.451893\pi\) | |||||||
\(74\) | 27.2895 | + | 34.7466i | 0.00498347 | + | 0.00634525i | ||||
\(75\) | 1965.92 | − | 193.626i | 0.349497 | − | 0.0344224i | ||||
\(76\) | 1536.02 | − | 10814.5i | 0.265932 | − | 1.87232i | ||||
\(77\) | −427.575 | + | 129.704i | −0.0721159 | + | 0.0218761i | ||||
\(78\) | −6649.28 | − | 2922.90i | −1.09291 | − | 0.480425i | ||||
\(79\) | 969.545 | + | 2340.69i | 0.155351 | + | 0.375050i | 0.982323 | − | 0.187192i | \(-0.0599388\pi\) |
−0.826972 | + | 0.562242i | \(0.809939\pi\) | |||||||
\(80\) | −6905.20 | + | 2960.62i | −1.07894 | + | 0.462597i | ||||
\(81\) | 5115.06 | + | 2118.73i | 0.779616 | + | 0.322927i | ||||
\(82\) | −2127.50 | + | 2038.11i | −0.316404 | + | 0.303109i | ||||
\(83\) | 1603.10 | + | 856.873i | 0.232704 | + | 0.124383i | 0.583628 | − | 0.812021i | \(-0.301633\pi\) |
−0.350924 | + | 0.936404i | \(0.614133\pi\) | |||||||
\(84\) | 596.825 | + | 209.401i | 0.0845841 | + | 0.0296770i | ||||
\(85\) | 2320.46 | − | 2827.49i | 0.321171 | − | 0.391347i | ||||
\(86\) | 421.586 | + | 237.110i | 0.0570019 | + | 0.0320592i | ||||
\(87\) | 5616.92 | + | 8406.31i | 0.742095 | + | 1.11062i | ||||
\(88\) | −3527.57 | − | 4911.53i | −0.455523 | − | 0.634236i | ||||
\(89\) | 4631.84 | − | 6932.04i | 0.584755 | − | 0.875148i | −0.414638 | − | 0.909986i | \(-0.636092\pi\) |
0.999393 | + | 0.0348389i | \(0.0110918\pi\) | |||||||
\(90\) | −405.699 | + | 1240.91i | −0.0500863 | + | 0.153199i | ||||
\(91\) | −905.938 | + | 484.234i | −0.109400 | + | 0.0584753i | ||||
\(92\) | 5768.67 | − | 7879.34i | 0.681553 | − | 0.930923i | ||||
\(93\) | 12381.3 | + | 1219.45i | 1.43153 | + | 0.140993i | ||||
\(94\) | 1618.15 | − | 7311.43i | 0.183132 | − | 0.827460i | ||||
\(95\) | −14167.4 | + | 14167.4i | −1.56980 | + | 1.56980i | ||||
\(96\) | −77.9968 | + | 8559.62i | −0.00846320 | + | 0.928778i | ||||
\(97\) | −6240.39 | + | 6240.39i | −0.663236 | + | 0.663236i | −0.956141 | − | 0.292905i | \(-0.905378\pi\) |
0.292905 | + | 0.956141i | \(0.405378\pi\) | |||||||
\(98\) | −8022.65 | + | 5115.05i | −0.835345 | + | 0.532595i | ||||
\(99\) | −1045.73 | − | 102.995i | −0.106696 | − | 0.0105087i | ||||
\(100\) | 3673.31 | + | 896.057i | 0.367331 | + | 0.0896057i | ||||
\(101\) | 3976.54 | − | 2125.50i | 0.389818 | − | 0.208362i | −0.264831 | − | 0.964295i | \(-0.585316\pi\) |
0.654649 | + | 0.755933i | \(0.272816\pi\) | |||||||
\(102\) | −1885.20 | − | 3716.64i | −0.181199 | − | 0.357232i | ||||
\(103\) | 5635.02 | − | 8433.40i | 0.531154 | − | 0.794929i | −0.464740 | − | 0.885447i | \(-0.653852\pi\) |
0.995895 | + | 0.0905182i | \(0.0288523\pi\) | |||||||
\(104\) | −10157.0 | − | 9492.52i | −0.939070 | − | 0.877637i | ||||
\(105\) | −644.550 | − | 964.637i | −0.0584626 | − | 0.0874954i | ||||
\(106\) | −2203.31 | − | 7867.19i | −0.196093 | − | 0.700177i | ||||
\(107\) | 291.792 | − | 355.550i | 0.0254862 | − | 0.0310551i | −0.760111 | − | 0.649793i | \(-0.774856\pi\) |
0.785598 | + | 0.618738i | \(0.212356\pi\) | |||||||
\(108\) | 9180.29 | + | 8217.89i | 0.787062 | + | 0.704552i | ||||
\(109\) | −13506.0 | − | 7219.13i | −1.13678 | − | 0.607620i | −0.207952 | − | 0.978139i | \(-0.566680\pi\) |
−0.928825 | + | 0.370519i | \(0.879180\pi\) | |||||||
\(110\) | −237.984 | + | 11089.3i | −0.0196681 | + | 0.916472i | ||||
\(111\) | −85.3046 | − | 35.3343i | −0.00692351 | − | 0.00286781i | ||||
\(112\) | 945.224 | + | 756.391i | 0.0753526 | + | 0.0602991i | ||||
\(113\) | 2181.12 | + | 5265.69i | 0.170814 | + | 0.412381i | 0.985984 | − | 0.166841i | \(-0.0533565\pi\) |
−0.815170 | + | 0.579222i | \(0.803357\pi\) | |||||||
\(114\) | 8281.19 | + | 21272.4i | 0.637211 | + | 1.63684i | ||||
\(115\) | −17140.8 | + | 5199.62i | −1.29609 | + | 0.393166i | ||||
\(116\) | 4817.72 | + | 18741.8i | 0.358035 | + | 1.39282i | ||||
\(117\) | −2404.15 | + | 236.788i | −0.175626 | + | 0.0172977i | ||||
\(118\) | 4589.91 | + | 551.736i | 0.329640 | + | 0.0396248i | ||||
\(119\) | −578.059 | − | 114.983i | −0.0408205 | − | 0.00811970i | ||||
\(120\) | 9544.86 | − | 12466.9i | 0.662838 | − | 0.865758i | ||||
\(121\) | 5603.76 | − | 1114.66i | 0.382745 | − | 0.0761326i | ||||
\(122\) | 16533.7 | − | 19287.2i | 1.11084 | − | 1.29583i | ||||
\(123\) | 1787.31 | − | 5891.98i | 0.118138 | − | 0.389449i | ||||
\(124\) | 21588.9 | + | 10048.2i | 1.40407 | + | 0.653499i | ||||
\(125\) | 7236.66 | + | 8817.90i | 0.463146 | + | 0.564345i | ||||
\(126\) | 207.157 | − | 36.6042i | 0.0130485 | − | 0.00230563i | ||||
\(127\) | 8413.39i | 0.521631i | 0.965389 | + | 0.260816i | \(0.0839915\pi\) | ||||
−0.965389 | + | 0.260816i | \(0.916009\pi\) | |||||||
\(128\) | −5564.92 | + | 15410.0i | −0.339656 | + | 0.940550i | ||||
\(129\) | −1010.83 | −0.0607435 | ||||||||
\(130\) | 4437.10 | + | 25111.3i | 0.262550 | + | 1.48588i | ||||
\(131\) | −7058.52 | + | 5792.78i | −0.411312 | + | 0.337555i | −0.817186 | − | 0.576374i | \(-0.804467\pi\) |
0.405874 | + | 0.913929i | \(0.366967\pi\) | |||||||
\(132\) | 11457.2 | + | 5332.55i | 0.657551 | + | 0.306046i | ||||
\(133\) | 3089.40 | + | 937.160i | 0.174651 | + | 0.0529798i | ||||
\(134\) | −10617.1 | − | 9101.35i | −0.591283 | − | 0.506870i | ||||
\(135\) | −4409.09 | − | 22166.0i | −0.241925 | − | 1.21624i | ||||
\(136\) | −1049.67 | − | 7907.17i | −0.0567512 | − | 0.427507i | ||||
\(137\) | 5574.39 | − | 28024.4i | 0.297000 | − | 1.49312i | −0.487572 | − | 0.873083i | \(-0.662117\pi\) |
0.784572 | − | 0.620037i | \(-0.212883\pi\) | |||||||
\(138\) | −2435.63 | + | 20262.1i | −0.127895 | + | 1.06396i | ||||
\(139\) | 2943.55 | + | 29886.3i | 0.152350 | + | 1.54683i | 0.702450 | + | 0.711733i | \(0.252089\pi\) |
−0.550101 | + | 0.835098i | \(0.685411\pi\) | |||||||
\(140\) | −552.841 | − | 2150.65i | −0.0282062 | − | 0.109727i | ||||
\(141\) | 4542.80 | + | 14975.6i | 0.228499 | + | 0.753261i | ||||
\(142\) | 37087.8 | − | 14438.0i | 1.83931 | − | 0.716028i | ||||
\(143\) | −18962.0 | + | 7854.31i | −0.927282 | + | 0.384093i | ||||
\(144\) | 1372.98 | + | 2494.10i | 0.0662122 | + | 0.120279i | ||||
\(145\) | 13583.3 | − | 32793.1i | 0.646057 | − | 1.55972i | ||||
\(146\) | −14514.2 | − | 311.484i | −0.680906 | − | 0.0146127i | ||||
\(147\) | 9373.19 | − | 17536.0i | 0.433763 | − | 0.811514i | ||||
\(148\) | −131.677 | − | 117.872i | −0.00601153 | − | 0.00538132i | ||||
\(149\) | −32901.1 | − | 27001.2i | −1.48196 | − | 1.21622i | −0.921701 | − | 0.387901i | \(-0.873200\pi\) |
−0.560262 | − | 0.828315i | \(-0.689300\pi\) | |||||||
\(150\) | −7608.95 | + | 2130.99i | −0.338176 | + | 0.0947105i | ||||
\(151\) | −2431.43 | + | 1624.63i | −0.106637 | + | 0.0712526i | −0.607745 | − | 0.794132i | \(-0.707926\pi\) |
0.501108 | + | 0.865385i | \(0.332926\pi\) | |||||||
\(152\) | 1476.64 | + | 43667.4i | 0.0639128 | + | 1.89004i | ||||
\(153\) | −1152.48 | − | 770.062i | −0.0492323 | − | 0.0328960i | ||||
\(154\) | 1593.94 | − | 808.496i | 0.0672093 | − | 0.0340907i | ||||
\(155\) | −20590.0 | − | 38521.3i | −0.857026 | − | 1.60338i | ||||
\(156\) | 28225.8 | + | 6885.31i | 1.15984 | + | 0.282927i | ||||
\(157\) | 2016.44 | − | 20473.2i | 0.0818060 | − | 0.830590i | −0.863488 | − | 0.504370i | \(-0.831725\pi\) |
0.945294 | − | 0.326220i | \(-0.105775\pi\) | |||||||
\(158\) | −5448.16 | − | 8545.11i | −0.218240 | − | 0.342297i | ||||
\(159\) | 12073.0 | + | 12073.0i | 0.477551 | + | 0.477551i | ||||
\(160\) | 25138.8 | − | 16467.9i | 0.981986 | − | 0.643277i | ||||
\(161\) | 2040.87 | + | 2040.87i | 0.0787343 | + | 0.0787343i | ||||
\(162\) | −21622.8 | − | 4785.50i | −0.823913 | − | 0.182347i | ||||
\(163\) | −1799.24 | + | 18268.0i | −0.0677196 | + | 0.687569i | 0.900059 | + | 0.435767i | \(0.143523\pi\) |
−0.967779 | + | 0.251801i | \(0.918977\pi\) | |||||||
\(164\) | 6961.66 | − | 9508.82i | 0.258836 | − | 0.353540i | ||||
\(165\) | −10927.1 | − | 20443.1i | −0.401362 | − | 0.750895i | ||||
\(166\) | −6910.96 | − | 2259.44i | −0.250797 | − | 0.0819944i | ||||
\(167\) | 25815.1 | + | 17249.1i | 0.925639 | + | 0.618492i | 0.924366 | − | 0.381507i | \(-0.124595\pi\) |
0.00127283 | + | 0.999999i | \(0.499595\pi\) | |||||||
\(168\) | −2496.63 | − | 409.431i | −0.0884577 | − | 0.0145065i | ||||
\(169\) | −15485.8 | + | 10347.3i | −0.542200 | + | 0.362286i | ||||
\(170\) | −7172.29 | + | 12752.5i | −0.248176 | + | 0.441262i | ||||
\(171\) | 5868.99 | + | 4816.55i | 0.200711 | + | 0.164719i | ||||
\(172\) | −1825.65 | − | 640.543i | −0.0617107 | − | 0.0216517i | ||||
\(173\) | −18952.5 | + | 35457.6i | −0.633248 | + | 1.18472i | 0.336747 | + | 0.941595i | \(0.390673\pi\) |
−0.969994 | + | 0.243128i | \(0.921827\pi\) | |||||||
\(174\) | −27975.8 | − | 29202.9i | −0.924025 | − | 0.964555i | ||||
\(175\) | −427.655 | + | 1032.45i | −0.0139642 | + | 0.0337126i | ||||
\(176\) | 17313.5 | + | 16891.2i | 0.558932 | + | 0.545300i | ||||
\(177\) | −8925.81 | + | 3697.19i | −0.284906 | + | 0.118012i | ||||
\(178\) | −13420.0 | + | 30529.0i | −0.423557 | + | 0.963546i | ||||
\(179\) | −5815.43 | − | 19170.9i | −0.181500 | − | 0.598324i | −0.999726 | − | 0.0234275i | \(-0.992542\pi\) |
0.818226 | − | 0.574897i | \(-0.194958\pi\) | |||||||
\(180\) | 734.355 | − | 5170.30i | 0.0226653 | − | 0.159577i | ||||
\(181\) | −2361.50 | − | 23976.8i | −0.0720828 | − | 0.731869i | −0.961506 | − | 0.274784i | \(-0.911394\pi\) |
0.889423 | − | 0.457085i | \(-0.151106\pi\) | |||||||
\(182\) | 3231.44 | − | 2537.93i | 0.0975559 | − | 0.0766190i | ||||
\(183\) | −10357.3 | + | 52069.9i | −0.309276 | + | 1.55484i | ||||
\(184\) | −17238.6 | + | 35051.6i | −0.509174 | + | 1.03531i | ||||
\(185\) | 63.2413 | + | 317.936i | 0.00184781 | + | 0.00928957i | ||||
\(186\) | −49618.5 | + | 3814.09i | −1.43423 | + | 0.110246i | ||||
\(187\) | −11268.9 | − | 3418.39i | −0.322255 | − | 0.0977550i | ||||
\(188\) | −1285.05 | + | 29925.8i | −0.0363583 | + | 0.846702i | ||||
\(189\) | −2815.02 | + | 2310.23i | −0.0788058 | + | 0.0646743i | ||||
\(190\) | 45944.6 | − | 65665.9i | 1.27270 | − | 1.81900i | ||||
\(191\) | 39092.8 | 1.07159 | 0.535797 | − | 0.844347i | \(-0.320011\pi\) | ||||
0.535797 | + | 0.844347i | \(0.320011\pi\) | |||||||
\(192\) | −5650.34 | − | 33770.5i | −0.153275 | − | 0.916083i | ||||
\(193\) | − | 191.973i | − | 0.00515378i | −0.999997 | − | 0.00257689i | \(-0.999180\pi\) | ||
0.999997 | − | 0.00257689i | \(-0.000820251\pi\) | |||||||
\(194\) | 20237.4 | − | 28924.1i | 0.537714 | − | 0.768523i | ||||
\(195\) | −33807.8 | − | 41194.9i | −0.889093 | − | 1.08336i | ||||
\(196\) | 28041.0 | − | 25731.9i | 0.729929 | − | 0.669822i | ||||
\(197\) | 4501.42 | − | 14839.2i | 0.115989 | − | 0.382365i | −0.879654 | − | 0.475615i | \(-0.842226\pi\) |
0.995643 | + | 0.0932502i | \(0.0297256\pi\) | |||||||
\(198\) | 4190.80 | − | 322.140i | 0.106897 | − | 0.00821701i | ||||
\(199\) | 42110.6 | − | 8376.33i | 1.06337 | − | 0.211518i | 0.367750 | − | 0.929925i | \(-0.380128\pi\) |
0.695623 | + | 0.718407i | \(0.255128\pi\) | |||||||
\(200\) | −15092.8 | − | 972.896i | −0.377319 | − | 0.0243224i | ||||
\(201\) | 28663.1 | + | 5701.44i | 0.709465 | + | 0.141121i | ||||
\(202\) | −14184.1 | + | 11140.0i | −0.347616 | + | 0.273013i | ||||
\(203\) | −5691.86 | + | 560.599i | −0.138122 | + | 0.0136038i | ||||
\(204\) | 10012.6 | + | 13327.7i | 0.240594 | + | 0.320253i | ||||
\(205\) | −20685.7 | + | 6274.92i | −0.492223 | + | 0.149314i | ||||
\(206\) | −16326.5 | + | 37141.0i | −0.384733 | + | 0.875224i | ||||
\(207\) | 2597.52 | + | 6270.96i | 0.0606203 | + | 0.146350i | ||||
\(208\) | 46615.0 | + | 30321.5i | 1.07745 | + | 0.700849i | ||||
\(209\) | 59594.3 | + | 24684.8i | 1.36431 | + | 0.565114i | ||||
\(210\) | 3210.26 | + | 3351.08i | 0.0727951 | + | 0.0759881i | ||||
\(211\) | −29704.0 | − | 15877.1i | −0.667190 | − | 0.356621i | 0.102777 | − | 0.994704i | \(-0.467227\pi\) |
−0.769967 | + | 0.638084i | \(0.779727\pi\) | |||||||
\(212\) | 14154.4 | + | 29455.2i | 0.314934 | + | 0.655375i | ||||
\(213\) | −52764.6 | + | 64293.9i | −1.16301 | + | 1.41713i | ||||
\(214\) | −901.898 | + | 1603.59i | −0.0196938 | + | 0.0350160i | ||||
\(215\) | 1971.63 | + | 2950.76i | 0.0426530 | + | 0.0638347i | ||||
\(216\) | −41880.7 | − | 25980.6i | −0.897649 | − | 0.556853i | ||||
\(217\) | −3910.15 | + | 5851.95i | −0.0830374 | + | 0.124274i | ||||
\(218\) | 58224.6 | + | 19035.7i | 1.22516 | + | 0.400549i | ||||
\(219\) | 26756.9 | − | 14301.8i | 0.557888 | − | 0.298197i | ||||
\(220\) | −6780.83 | − | 43846.2i | −0.140100 | − | 0.905914i | ||||
\(221\) | −26942.8 | − | 2653.63i | −0.551643 | − | 0.0543321i | ||||
\(222\) | 360.606 | + | 79.8086i | 0.00731690 | + | 0.00161936i | ||||
\(223\) | −21968.9 | + | 21968.9i | −0.441773 | + | 0.441773i | −0.892608 | − | 0.450834i | \(-0.851127\pi\) |
0.450834 | + | 0.892608i | \(0.351127\pi\) | |||||||
\(224\) | −4249.67 | − | 2321.53i | −0.0846953 | − | 0.0462677i | ||||
\(225\) | −1858.35 | + | 1858.35i | −0.0367081 | + | 0.0367081i | ||||
\(226\) | −12256.4 | − | 19223.4i | −0.239963 | − | 0.376368i | ||||
\(227\) | −82132.8 | − | 8089.38i | −1.59391 | − | 0.156987i | −0.738254 | − | 0.674523i | \(-0.764349\pi\) |
−0.855661 | + | 0.517536i | \(0.826849\pi\) | |||||||
\(228\) | −47425.2 | − | 78027.9i | −0.912304 | − | 1.50100i | ||||
\(229\) | 9176.95 | − | 4905.18i | 0.174996 | − | 0.0935372i | −0.381573 | − | 0.924339i | \(-0.624618\pi\) |
0.556569 | + | 0.830801i | \(0.312118\pi\) | |||||||
\(230\) | 63898.5 | − | 32411.4i | 1.20791 | − | 0.612691i | ||||
\(231\) | −2075.10 | + | 3105.61i | −0.0388880 | + | 0.0582000i | ||||
\(232\) | −32021.4 | − | 70470.5i | −0.594927 | − | 1.30928i | ||||
\(233\) | 38093.2 | + | 57010.5i | 0.701674 | + | 1.05013i | 0.995545 | + | 0.0942849i | \(0.0300565\pi\) |
−0.293871 | + | 0.955845i | \(0.594944\pi\) | |||||||
\(234\) | 9305.08 | − | 2606.01i | 0.169937 | − | 0.0475931i | ||||
\(235\) | 34855.1 | − | 42471.0i | 0.631146 | − | 0.769054i | ||||
\(236\) | −18463.6 | + | 1021.34i | −0.331507 | + | 0.0183378i | ||||
\(237\) | 18678.0 | + | 9983.60i | 0.332532 | + | 0.177742i | ||||
\(238\) | 2356.99 | + | 50.5826i | 0.0416106 | + | 0.000892991i | ||||
\(239\) | −23928.1 | − | 9911.36i | −0.418903 | − | 0.173515i | 0.163268 | − | 0.986582i | \(-0.447796\pi\) |
−0.582171 | + | 0.813067i | \(0.697796\pi\) | |||||||
\(240\) | −28920.0 | + | 55750.2i | −0.502083 | + | 0.967886i | ||||
\(241\) | −37137.1 | − | 89656.8i | −0.639401 | − | 1.54365i | −0.827479 | − | 0.561497i | \(-0.810226\pi\) |
0.188078 | − | 0.982154i | \(-0.439774\pi\) | |||||||
\(242\) | −21297.3 | + | 8290.88i | −0.363659 | + | 0.141570i | ||||
\(243\) | −15401.4 | + | 4671.96i | −0.260824 | + | 0.0791201i | ||||
\(244\) | −51701.8 | + | 87479.3i | −0.868413 | + | 1.46935i | ||||
\(245\) | −69472.5 | + | 6842.44i | −1.15739 | + | 0.113993i | ||||
\(246\) | −2939.33 | + | 24452.4i | −0.0485710 | + | 0.404065i | ||||
\(247\) | 145447. | + | 28931.2i | 2.38402 | + | 0.474211i | ||||
\(248\) | −92032.0 | − | 24553.6i | −1.49636 | − | 0.399220i | ||||
\(249\) | 14903.1 | − | 2964.41i | 0.240369 | − | 0.0478123i | ||||
\(250\) | −34642.4 | − | 29696.8i | −0.554278 | − | 0.475148i | ||||
\(251\) | 22268.2 | − | 73408.4i | 0.353458 | − | 1.16519i | −0.582425 | − | 0.812884i | \(-0.697896\pi\) |
0.935883 | − | 0.352311i | \(-0.114604\pi\) | |||||||
\(252\) | −790.512 | + | 288.366i | −0.0124482 | + | 0.00454092i | ||||
\(253\) | 36583.8 | + | 44577.5i | 0.571541 | + | 0.696425i | ||||
\(254\) | −5855.79 | − | 33140.2i | −0.0907649 | − | 0.513674i | ||||
\(255\) | − | 30576.5i | − | 0.470227i | ||||||
\(256\) | 11194.7 | − | 64572.8i | 0.170817 | − | 0.985303i | ||||
\(257\) | −34925.5 | −0.528781 | −0.264391 | − | 0.964416i | \(-0.585171\pi\) | ||||
−0.264391 | + | 0.964416i | \(0.585171\pi\) | |||||||
\(258\) | 3981.65 | − | 703.548i | 0.0598169 | − | 0.0105695i | ||||
\(259\) | 40.3770 | − | 33.1365i | 0.000601914 | − | 0.000493978i | ||||
\(260\) | −34955.3 | − | 95824.7i | −0.517091 | − | 1.41752i | ||||
\(261\) | −12871.3 | − | 3904.48i | −0.188948 | − | 0.0573168i | ||||
\(262\) | 23771.6 | − | 27730.4i | 0.346302 | − | 0.403975i | ||||
\(263\) | 10187.7 | + | 51217.2i | 0.147287 | + | 0.740464i | 0.981866 | + | 0.189575i | \(0.0607112\pi\) |
−0.834579 | + | 0.550889i | \(0.814289\pi\) | |||||||
\(264\) | −48841.1 | − | 13030.5i | −0.700773 | − | 0.186962i | ||||
\(265\) | 11694.3 | − | 58791.0i | 0.166526 | − | 0.837181i | ||||
\(266\) | −12821.4 | − | 1541.21i | −0.181205 | − | 0.0217820i | ||||
\(267\) | −6831.08 | − | 69357.2i | −0.0958224 | − | 0.972901i | ||||
\(268\) | 48155.1 | + | 28460.5i | 0.670459 | + | 0.396253i | ||||
\(269\) | 4297.73 | + | 14167.7i | 0.0593930 | + | 0.195792i | 0.981616 | − | 0.190866i | \(-0.0611294\pi\) |
−0.922223 | + | 0.386658i | \(0.873629\pi\) | |||||||
\(270\) | 32795.0 | + | 84242.6i | 0.449863 | + | 1.15559i | ||||
\(271\) | 89298.4 | − | 36988.6i | 1.21592 | − | 0.503651i | 0.319810 | − | 0.947482i | \(-0.396381\pi\) |
0.896111 | + | 0.443831i | \(0.146381\pi\) | |||||||
\(272\) | 9638.08 | + | 30415.6i | 0.130273 | + | 0.411111i | ||||
\(273\) | −3286.10 | + | 7933.35i | −0.0440916 | + | 0.106447i | ||||
\(274\) | −2452.25 | + | 114267.i | −0.0326635 | + | 1.52202i | ||||
\(275\) | −10525.4 | + | 19691.7i | −0.139179 | + | 0.260386i | ||||
\(276\) | −4508.68 | − | 81507.1i | −0.0591877 | − | 1.06998i | ||||
\(277\) | 24865.1 | + | 20406.2i | 0.324064 | + | 0.265952i | 0.782332 | − | 0.622862i | \(-0.214030\pi\) |
−0.458268 | + | 0.888814i | \(0.651530\pi\) | |||||||
\(278\) | −32395.7 | − | 115673.i | −0.419177 | − | 1.49673i | ||||
\(279\) | −13762.2 | + | 9195.63i | −0.176799 | + | 0.118133i | ||||
\(280\) | 3674.50 | + | 8086.60i | 0.0468686 | + | 0.103145i | ||||
\(281\) | 56475.1 | + | 37735.4i | 0.715227 | + | 0.477900i | 0.859173 | − | 0.511686i | \(-0.170979\pi\) |
−0.143945 | + | 0.989586i | \(0.545979\pi\) | |||||||
\(282\) | −28317.1 | − | 55826.7i | −0.356083 | − | 0.702011i | ||||
\(283\) | −34141.9 | − | 63875.0i | −0.426300 | − | 0.797550i | 0.573465 | − | 0.819230i | \(-0.305599\pi\) |
−0.999765 | + | 0.0216794i | \(0.993099\pi\) | |||||||
\(284\) | −136039. | + | 82684.3i | −1.68666 | + | 1.02515i | ||||
\(285\) | −16416.5 | + | 166680.i | −0.202112 | + | 2.05207i | ||||
\(286\) | 69224.2 | − | 44135.7i | 0.846303 | − | 0.539582i | ||||
\(287\) | 2462.93 | + | 2462.93i | 0.0299012 | + | 0.0299012i | ||||
\(288\) | −7144.04 | − | 8868.61i | −0.0861309 | − | 0.106923i | ||||
\(289\) | 48074.4 | + | 48074.4i | 0.575597 | + | 0.575597i | ||||
\(290\) | −30680.3 | + | 138625.i | −0.364807 | + | 1.64834i | ||||
\(291\) | −7231.05 | + | 73418.1i | −0.0853916 | + | 0.866996i | ||||
\(292\) | 57387.9 | − | 8875.06i | 0.673062 | − | 0.104089i | ||||
\(293\) | 23192.6 | + | 43390.2i | 0.270155 | + | 0.505425i | 0.980016 | − | 0.198917i | \(-0.0637423\pi\) |
−0.709861 | + | 0.704342i | \(0.751242\pi\) | |||||||
\(294\) | −24715.6 | + | 75597.8i | −0.285941 | + | 0.874610i | ||||
\(295\) | 28202.5 | + | 18844.3i | 0.324073 | + | 0.216539i | ||||
\(296\) | 600.712 | + | 372.650i | 0.00685619 | + | 0.00425321i | ||||
\(297\) | −60498.2 | + | 40423.6i | −0.685851 | + | 0.458271i | ||||
\(298\) | 148390. | + | 83457.9i | 1.67098 | + | 0.939798i | ||||
\(299\) | 102484. | + | 84106.5i | 1.14634 | + | 0.940778i | ||||
\(300\) | 28488.3 | − | 13689.8i | 0.316537 | − | 0.152109i | ||||
\(301\) | 269.561 | − | 504.313i | 0.00297526 | − | 0.00556631i | ||||
\(302\) | 8446.60 | − | 8091.68i | 0.0926122 | − | 0.0887207i | ||||
\(303\) | 14424.1 | − | 34822.8i | 0.157109 | − | 0.379296i | ||||
\(304\) | −36209.3 | − | 170977.i | −0.391808 | − | 1.85008i | ||||
\(305\) | 172201. | − | 71328.0i | 1.85113 | − | 0.766762i | ||||
\(306\) | 5075.56 | + | 2231.12i | 0.0542053 | + | 0.0238276i | ||||
\(307\) | −23217.2 | − | 76536.8i | −0.246339 | − | 0.812070i | −0.989697 | − | 0.143177i | \(-0.954268\pi\) |
0.743358 | − | 0.668893i | \(-0.233232\pi\) | |||||||
\(308\) | −5715.77 | + | 4294.04i | −0.0602522 | + | 0.0452653i | ||||
\(309\) | −8310.57 | − | 84378.7i | −0.0870390 | − | 0.883722i | ||||
\(310\) | 107915. | + | 137404.i | 1.12294 | + | 1.42980i | ||||
\(311\) | −4593.45 | + | 23092.8i | −0.0474918 | + | 0.238757i | −0.997239 | − | 0.0742612i | \(-0.976340\pi\) |
0.949747 | + | 0.313018i | \(0.101340\pi\) | |||||||
\(312\) | −115973. | − | 7475.74i | −1.19137 | − | 0.0767972i | ||||
\(313\) | 15961.4 | + | 80243.6i | 0.162923 | + | 0.819071i | 0.972652 | + | 0.232267i | \(0.0746142\pi\) |
−0.809729 | + | 0.586804i | \(0.800386\pi\) | |||||||
\(314\) | 6306.82 | + | 82047.1i | 0.0639663 | + | 0.832154i | ||||
\(315\) | 1477.01 | + | 448.045i | 0.0148854 | + | 0.00451544i | ||||
\(316\) | 27407.6 | + | 29867.1i | 0.274472 | + | 0.299102i | ||||
\(317\) | 131137. | − | 107621.i | 1.30499 | − | 1.07097i | 0.312334 | − | 0.949972i | \(-0.398889\pi\) |
0.992652 | − | 0.121003i | \(-0.0386109\pi\) | |||||||
\(318\) | −55958.1 | − | 39152.3i | −0.553361 | − | 0.387171i | ||||
\(319\) | −114275. | −1.12297 | ||||||||
\(320\) | −87559.6 | + | 82363.6i | −0.855075 | + | 0.804332i | ||||
\(321\) | − | 3844.92i | − | 0.0373145i | ||||||
\(322\) | −9459.42 | − | 6618.49i | −0.0912331 | − | 0.0638333i | ||||
\(323\) | 53978.2 | + | 65772.6i | 0.517384 | + | 0.630435i | ||||
\(324\) | 88502.4 | + | 3800.39i | 0.843073 | + | 0.0362024i | ||||
\(325\) | −14901.1 | + | 49122.3i | −0.141075 | + | 0.465063i | ||||
\(326\) | −5627.50 | − | 73209.6i | −0.0529518 | − | 0.688863i | ||||
\(327\) | −125558. | + | 24975.1i | −1.17422 | + | 0.233567i | ||||
\(328\) | −20803.6 | + | 42300.4i | −0.193371 | + | 0.393185i | ||||
\(329\) | −8682.89 | − | 1727.14i | −0.0802182 | − | 0.0159564i | ||||
\(330\) | 57270.1 | + | 72919.7i | 0.525896 | + | 0.669602i | ||||
\(331\) | −71052.7 | + | 6998.08i | −0.648522 | + | 0.0638738i | −0.416929 | − | 0.908939i | \(-0.636894\pi\) |
−0.231593 | + | 0.972813i | \(0.574394\pi\) | |||||||
\(332\) | 28794.7 | + | 4089.81i | 0.261238 | + | 0.0371045i | ||||
\(333\) | 117.550 | − | 35.6583i | 0.00106007 | − | 0.000321568i | ||||
\(334\) | −113691. | − | 49976.4i | −1.01914 | − | 0.447994i | ||||
\(335\) | −39264.2 | − | 94792.2i | −0.349871 | − | 0.844662i | ||||
\(336\) | 10119.1 | − | 124.931i | 0.0896324 | − | 0.00110661i | ||||
\(337\) | 161479. | + | 66886.9i | 1.42186 | + | 0.588954i | 0.955327 | − | 0.295549i | \(-0.0955027\pi\) |
0.466534 | + | 0.884503i | \(0.345503\pi\) | |||||||
\(338\) | 53796.4 | − | 51535.9i | 0.470890 | − | 0.451103i | ||||
\(339\) | 42018.7 | + | 22459.5i | 0.365631 | + | 0.195434i | ||||
\(340\) | 19375.7 | − | 55223.7i | 0.167610 | − | 0.477714i | ||||
\(341\) | −89209.7 | + | 108702.i | −0.767191 | + | 0.934825i | ||||
\(342\) | −26470.2 | − | 14887.5i | −0.226311 | − | 0.127282i | ||||
\(343\) | 12557.4 | + | 18793.4i | 0.106736 | + | 0.159741i | ||||
\(344\) | 7637.02 | + | 1252.42i | 0.0645367 | + | 0.0105836i | ||||
\(345\) | −83187.6 | + | 124499.i | −0.698909 | + | 1.04599i | ||||
\(346\) | 49974.7 | − | 152858.i | 0.417443 | − | 1.27684i | ||||
\(347\) | 96550.0 | − | 51607.1i | 0.801850 | − | 0.428598i | −0.0189448 | − | 0.999821i | \(-0.506031\pi\) |
0.820795 | + | 0.571223i | \(0.193531\pi\) | |||||||
\(348\) | 130522. | + | 95558.2i | 1.07776 | + | 0.789059i | ||||
\(349\) | −142677. | − | 14052.5i | −1.17139 | − | 0.115372i | −0.506453 | − | 0.862268i | \(-0.669043\pi\) |
−0.664941 | + | 0.746896i | \(0.731543\pi\) | |||||||
\(350\) | 965.930 | − | 4364.45i | 0.00788515 | − | 0.0356282i | ||||
\(351\) | −118283. | + | 118283.i | −0.960081 | + | 0.960081i | ||||
\(352\) | −79953.9 | − | 54483.8i | −0.645289 | − | 0.439726i | ||||
\(353\) | 29173.2 | − | 29173.2i | 0.234118 | − | 0.234118i | −0.580291 | − | 0.814409i | \(-0.697061\pi\) |
0.814409 | + | 0.580291i | \(0.197061\pi\) | |||||||
\(354\) | 32585.3 | − | 20775.6i | 0.260025 | − | 0.165786i | ||||
\(355\) | 290600. | + | 28621.6i | 2.30589 | + | 0.227111i | ||||
\(356\) | 31612.7 | − | 129594.i | 0.249437 | − | 1.02255i | ||||
\(357\) | −4345.11 | + | 2322.51i | −0.0340929 | + | 0.0182231i | ||||
\(358\) | 36250.0 | + | 71466.3i | 0.282841 | + | 0.557616i | ||||
\(359\) | 39844.8 | − | 59631.9i | 0.309159 | − | 0.462690i | −0.644057 | − | 0.764977i | \(-0.722750\pi\) |
0.953217 | + | 0.302287i | \(0.0977502\pi\) | |||||||
\(360\) | 705.964 | + | 20876.9i | 0.00544725 | + | 0.161087i | ||||
\(361\) | −186532. | − | 279165.i | −1.43133 | − | 2.14213i | ||||
\(362\) | 25989.9 | + | 92800.4i | 0.198330 | + | 0.708162i | ||||
\(363\) | 30299.6 | − | 36920.2i | 0.229945 | − | 0.280189i | ||||
\(364\) | −10962.2 | + | 12246.0i | −0.0827359 | + | 0.0924252i | ||||
\(365\) | −93938.5 | − | 50211.2i | −0.705111 | − | 0.376890i | ||||
\(366\) | 4556.33 | − | 212311.i | 0.0340136 | − | 1.58493i | ||||
\(367\) | 39735.7 | + | 16459.1i | 0.295018 | + | 0.122201i | 0.525283 | − | 0.850927i | \(-0.323959\pi\) |
−0.230265 | + | 0.973128i | \(0.573959\pi\) | |||||||
\(368\) | 43506.3 | − | 150066.i | 0.321260 | − | 1.10812i | ||||
\(369\) | 3134.70 | + | 7567.83i | 0.0230220 | + | 0.0555800i | ||||
\(370\) | −470.392 | − | 1208.33i | −0.00343603 | − | 0.00882634i | ||||
\(371\) | −9242.84 | + | 2803.78i | −0.0671518 | + | 0.0203703i | ||||
\(372\) | 192792. | − | 49558.5i | 1.39316 | − | 0.358123i | ||||
\(373\) | −10490.0 | + | 1033.18i | −0.0753979 | + | 0.00742604i | −0.135646 | − | 0.990757i | \(-0.543311\pi\) |
0.0602479 | + | 0.998183i | \(0.480811\pi\) | |||||||
\(374\) | 46767.4 | + | 5621.72i | 0.334349 | + | 0.0401908i | ||||
\(375\) | 93524.7 | + | 18603.2i | 0.665064 | + | 0.132290i | ||||
\(376\) | −15766.8 | − | 118772.i | −0.111524 | − | 0.840112i | ||||
\(377\) | −257671. | + | 51253.9i | −1.81293 | + | 0.360615i | ||||
\(378\) | 9480.38 | − | 11059.2i | 0.0663502 | − | 0.0774000i | ||||
\(379\) | −5450.86 | + | 17969.1i | −0.0379478 | + | 0.125097i | −0.973868 | − | 0.227115i | \(-0.927071\pi\) |
0.935920 | + | 0.352212i | \(0.114571\pi\) | |||||||
\(380\) | −135271. | + | 290635.i | −0.936779 | + | 2.01270i | ||||
\(381\) | 44617.2 | + | 54366.2i | 0.307364 | + | 0.374524i | ||||
\(382\) | −153986. | + | 27208.9i | −1.05525 | + | 0.186460i | ||||
\(383\) | − | 190563.i | − | 1.29909i | −0.760322 | − | 0.649547i | \(-0.774959\pi\) | ||
0.760322 | − | 0.649547i | \(-0.225041\pi\) | |||||||
\(384\) | 45761.1 | + | 129089.i | 0.310337 | + | 0.875438i | ||||
\(385\) | 13113.2 | 0.0884682 | ||||||||
\(386\) | 133.615 | + | 756.179i | 0.000896768 | + | 0.00507516i | ||||
\(387\) | 1039.55 | − | 853.135i | 0.00694101 | − | 0.00569634i | ||||
\(388\) | −59583.4 | + | 128017.i | −0.395787 | + | 0.850363i | ||||
\(389\) | 216277. | + | 65607.0i | 1.42926 | + | 0.433562i | 0.907688 | − | 0.419645i | \(-0.137846\pi\) |
0.521573 | + | 0.853207i | \(0.325346\pi\) | |||||||
\(390\) | 161840. | + | 138735.i | 1.06404 | + | 0.912133i | ||||
\(391\) | 14840.1 | + | 74606.2i | 0.0970695 | + | 0.488001i | ||||
\(392\) | −92543.2 | + | 120874.i | −0.602244 | + | 0.786614i | ||||
\(393\) | −14891.4 | + | 74864.3i | −0.0964166 | + | 0.484719i | ||||
\(394\) | −7402.81 | + | 61584.3i | −0.0476875 | + | 0.396714i | ||||
\(395\) | −7288.04 | − | 73996.7i | −0.0467107 | − | 0.474262i | ||||
\(396\) | −16283.3 | + | 4185.73i | −0.103837 | + | 0.0266920i | ||||
\(397\) | 61407.0 | + | 202432.i | 0.389616 | + | 1.28439i | 0.904258 | + | 0.426987i | \(0.140425\pi\) |
−0.514641 | + | 0.857406i | \(0.672075\pi\) | |||||||
\(398\) | −160043. | + | 62303.5i | −1.01035 | + | 0.393320i | ||||
\(399\) | 24933.2 | − | 10327.7i | 0.156614 | − | 0.0648718i | ||||
\(400\) | 60127.3 | − | 6672.47i | 0.375795 | − | 0.0417029i | ||||
\(401\) | 25259.7 | − | 60982.3i | 0.157087 | − | 0.379241i | −0.825668 | − | 0.564157i | \(-0.809201\pi\) |
0.982754 | + | 0.184916i | \(0.0592014\pi\) | |||||||
\(402\) | −116872. | − | 2508.14i | −0.723198 | − | 0.0155203i | ||||
\(403\) | −152399. | + | 285118.i | −0.938363 | + | 1.75555i | ||||
\(404\) | 48117.5 | − | 53752.6i | 0.294809 | − | 0.329334i | ||||
\(405\) | −125603. | − | 103080.i | −0.765758 | − | 0.628441i | ||||
\(406\) | 22029.9 | − | 6169.77i | 0.133648 | − | 0.0374297i | ||||
\(407\) | 867.750 | − | 579.812i | 0.00523849 | − | 0.00350025i | ||||
\(408\) | −48715.5 | − | 45528.5i | −0.292649 | − | 0.273504i | ||||
\(409\) | −129227. | − | 86346.6i | −0.772513 | − | 0.516177i | 0.105728 | − | 0.994395i | \(-0.466283\pi\) |
−0.878241 | + | 0.478218i | \(0.841283\pi\) | |||||||
\(410\) | 77113.0 | − | 39114.2i | 0.458733 | − | 0.232684i | ||||
\(411\) | −112596. | − | 210651.i | −0.666557 | − | 1.24704i | ||||
\(412\) | 38459.4 | − | 157661.i | 0.226573 | − | 0.928817i | ||||
\(413\) | 535.705 | − | 5439.11i | 0.00314070 | − | 0.0318880i | ||||
\(414\) | −14596.2 | − | 22893.3i | −0.0851608 | − | 0.133570i | ||||
\(415\) | −37722.1 | − | 37722.1i | −0.219028 | − | 0.219028i | ||||
\(416\) | −204720. | − | 86991.4i | −1.18297 | − | 0.502678i | ||||
\(417\) | 177511. | + | 177511.i | 1.02083 | + | 1.02083i | ||||
\(418\) | −251921. | − | 55754.7i | −1.44183 | − | 0.319102i | ||||
\(419\) | 5982.72 | − | 60743.6i | 0.0340777 | − | 0.345997i | −0.962994 | − | 0.269523i | \(-0.913134\pi\) |
0.997072 | − | 0.0764738i | \(-0.0243662\pi\) | |||||||
\(420\) | −14977.5 | − | 10965.5i | −0.0849067 | − | 0.0621624i | ||||
\(421\) | −62622.8 | − | 117159.i | −0.353320 | − | 0.661015i | 0.640989 | − | 0.767550i | \(-0.278524\pi\) |
−0.994309 | + | 0.106535i | \(0.966024\pi\) | |||||||
\(422\) | 128054. | + | 41865.4i | 0.719065 | + | 0.235088i | ||||
\(423\) | −17311.1 | − | 11566.9i | −0.0967486 | − | 0.0646453i | ||||
\(424\) | −76255.0 | − | 106172.i | −0.424167 | − | 0.590578i | ||||
\(425\) | −24488.9 | + | 16363.0i | −0.135579 | + | 0.0905909i | ||||
\(426\) | 163090. | − | 289977.i | 0.898686 | − | 1.59788i | ||||
\(427\) | −23216.1 | − | 19053.0i | −0.127331 | − | 0.104498i | ||||
\(428\) | 2436.45 | − | 6944.25i | 0.0133005 | − | 0.0379086i | ||||
\(429\) | −80877.5 | + | 151311.i | −0.439454 | + | 0.822160i | ||||
\(430\) | −9819.98 | − | 10250.7i | −0.0531097 | − | 0.0554392i | ||||
\(431\) | 81416.0 | − | 196556.i | 0.438284 | − | 1.05811i | −0.538257 | − | 0.842780i | \(-0.680917\pi\) |
0.976541 | − | 0.215330i | \(-0.0690828\pi\) | |||||||
\(432\) | 183050. | + | 73187.6i | 0.980849 | + | 0.392166i | ||||
\(433\) | −61206.9 | + | 25352.7i | −0.326456 | + | 0.135222i | −0.539891 | − | 0.841735i | \(-0.681535\pi\) |
0.213436 | + | 0.976957i | \(0.431535\pi\) | |||||||
\(434\) | 11329.0 | − | 25772.2i | 0.0601467 | − | 0.136827i | ||||
\(435\) | −86131.9 | − | 283939.i | −0.455182 | − | 1.50053i | ||||
\(436\) | −242595. | − | 34456.5i | −1.27617 | − | 0.181258i | ||||
\(437\) | −40840.8 | − | 414663.i | −0.213861 | − | 2.17136i | ||||
\(438\) | −95440.6 | + | 74957.7i | −0.497491 | + | 0.390722i | ||||
\(439\) | 39463.7 | − | 198397.i | 0.204771 | − | 1.02945i | −0.732477 | − | 0.680792i | \(-0.761636\pi\) |
0.937248 | − | 0.348662i | \(-0.113364\pi\) | |||||||
\(440\) | 57226.9 | + | 167990.i | 0.295593 | + | 0.867717i | ||||
\(441\) | 5160.79 | + | 25945.1i | 0.0265362 | + | 0.133407i | ||||
\(442\) | 107974. | − | 8299.78i | 0.552682 | − | 0.0424837i | ||||
\(443\) | −271875. | − | 82472.5i | −1.38536 | − | 0.420244i | −0.492395 | − | 0.870372i | \(-0.663878\pi\) |
−0.892964 | + | 0.450128i | \(0.851378\pi\) | |||||||
\(444\) | −1475.97 | − | 63.3796i | −0.00748706 | − | 0.000321502i | ||||
\(445\) | −189139. | + | 155222.i | −0.955127 | + | 0.783852i | ||||
\(446\) | 71244.7 | − | 101826.i | 0.358165 | − | 0.511904i | ||||
\(447\) | −355793. | −1.78067 | ||||||||
\(448\) | 18355.2 | + | 6186.65i | 0.0914540 | + | 0.0308247i | ||||
\(449\) | − | 375259.i | − | 1.86140i | −0.365789 | − | 0.930698i | \(-0.619201\pi\) | ||
0.365789 | − | 0.930698i | \(-0.380799\pi\) | |||||||
\(450\) | 6026.57 | − | 8613.42i | 0.0297608 | − | 0.0425354i | ||||
\(451\) | 44149.5 | + | 53796.3i | 0.217057 | + | 0.264484i | ||||
\(452\) | 61657.2 | + | 67190.1i | 0.301792 | + | 0.328873i | ||||
\(453\) | −7095.98 | + | 23392.3i | −0.0345793 | + | 0.113993i | ||||
\(454\) | 329150. | − | 25301.2i | 1.59692 | − | 0.122752i | ||||
\(455\) | 29568.1 | − | 5881.46i | 0.142824 | − | 0.0284094i | ||||
\(456\) | 241115. | + | 274342.i | 1.15956 | + | 1.31936i | ||||
\(457\) | −75197.9 | − | 14957.8i | −0.360059 | − | 0.0716201i | 0.0117462 | − | 0.999931i | \(-0.496261\pi\) |
−0.371805 | + | 0.928311i | \(0.621261\pi\) | |||||||
\(458\) | −32733.8 | + | 25708.7i | −0.156051 | + | 0.122560i | ||||
\(459\) | −95514.7 | + | 9407.38i | −0.453362 | + | 0.0446522i | ||||
\(460\) | −229136. | + | 172142.i | −1.08287 | + | 0.813523i | ||||
\(461\) | 87576.2 | − | 26566.0i | 0.412083 | − | 0.125004i | −0.0774348 | − | 0.996997i | \(-0.524673\pi\) |
0.489517 | + | 0.871994i | \(0.337173\pi\) | |||||||
\(462\) | 6012.26 | − | 13677.2i | 0.0281679 | − | 0.0640788i | ||||
\(463\) | 20914.0 | + | 50490.9i | 0.0975609 | + | 0.235533i | 0.965123 | − | 0.261795i | \(-0.0843145\pi\) |
−0.867563 | + | 0.497328i | \(0.834315\pi\) | |||||||
\(464\) | 175180. | + | 255295.i | 0.813668 | + | 1.18579i | ||||
\(465\) | −337333. | − | 139728.i | −1.56010 | − | 0.646215i | ||||
\(466\) | −189728. | − | 198050.i | −0.873695 | − | 0.912018i | ||||
\(467\) | 325987. | + | 174243.i | 1.49474 | + | 0.798956i | 0.997635 | − | 0.0687342i | \(-0.0218961\pi\) |
0.497106 | + | 0.867690i | \(0.334396\pi\) | |||||||
\(468\) | −34838.7 | + | 16741.4i | −0.159063 | + | 0.0764365i | ||||
\(469\) | −10488.2 | + | 12779.9i | −0.0476819 | + | 0.0581006i | ||||
\(470\) | −107733. | + | 191552.i | −0.487701 | + | 0.867143i | ||||
\(471\) | −95541.9 | − | 142989.i | −0.430678 | − | 0.644555i | ||||
\(472\) | 72016.9 | − | 16873.8i | 0.323259 | − | 0.0757408i | ||||
\(473\) | 6347.60 | − | 9499.85i | 0.0283718 | − | 0.0424614i | ||||
\(474\) | −80521.0 | − | 26325.2i | −0.358387 | − | 0.117170i | ||||
\(475\) | 142280. | − | 76050.4i | 0.630605 | − | 0.337065i | ||||
\(476\) | −9319.36 | + | 1441.24i | −0.0411313 | + | 0.00636097i | ||||
\(477\) | −22605.4 | − | 2226.44i | −0.0993518 | − | 0.00978530i | ||||
\(478\) | 101151. | + | 22386.5i | 0.442704 | + | 0.0979783i | ||||
\(479\) | −150096. | + | 150096.i | −0.654179 | + | 0.654179i | −0.953997 | − | 0.299817i | \(-0.903074\pi\) |
0.299817 | + | 0.953997i | \(0.403074\pi\) | |||||||
\(480\) | 75112.6 | − | 239728.i | 0.326010 | − | 1.04048i | ||||
\(481\) | 1696.58 | − | 1696.58i | 0.00733304 | − | 0.00733304i | ||||
\(482\) | 208684. | + | 327309.i | 0.898246 | + | 1.40885i | ||||
\(483\) | 24010.8 | + | 2364.86i | 0.102923 | + | 0.0101370i | ||||
\(484\) | 78119.2 | − | 47480.7i | 0.333478 | − | 0.202687i | ||||
\(485\) | 228422. | − | 122094.i | 0.971077 | − | 0.519052i | ||||
\(486\) | 57414.1 | − | 29122.3i | 0.243078 | − | 0.123297i | ||||
\(487\) | −26433.9 | + | 39561.2i | −0.111456 | + | 0.166806i | −0.883004 | − | 0.469365i | \(-0.844483\pi\) |
0.771548 | + | 0.636171i | \(0.219483\pi\) | |||||||
\(488\) | 142766. | − | 380564.i | 0.599495 | − | 1.59804i | ||||
\(489\) | 85251.0 | + | 127587.i | 0.356518 | + | 0.533567i | ||||
\(490\) | 268888. | − | 75305.6i | 1.11990 | − | 0.313643i | ||||
\(491\) | 254362. | − | 309941.i | 1.05509 | − | 1.28563i | 0.0982030 | − | 0.995166i | \(-0.468691\pi\) |
0.956886 | − | 0.290463i | \(-0.0938095\pi\) | |||||||
\(492\) | −5441.10 | − | 98363.2i | −0.0224779 | − | 0.406352i | ||||
\(493\) | −132938. | − | 71057.0i | −0.546961 | − | 0.292357i | ||||
\(494\) | −593048. | − | 12727.2i | −2.43017 | − | 0.0521529i | ||||
\(495\) | 28491.3 | + | 11801.5i | 0.116279 | + | 0.0481644i | ||||
\(496\) | 379602. | + | 32661.2i | 1.54300 | + | 0.132761i | ||||
\(497\) | −18005.9 | − | 43470.2i | −0.0728958 | − | 0.175986i | ||||
\(498\) | −56639.8 | + | 22049.4i | −0.228382 | + | 0.0889076i | ||||
\(499\) | −335090. | + | 101649.i | −1.34574 | + | 0.408225i | −0.879275 | − | 0.476315i | \(-0.841972\pi\) |
−0.466464 | + | 0.884540i | \(0.654472\pi\) | |||||||
\(500\) | 157125. | + | 92863.6i | 0.628500 | + | 0.371454i | ||||
\(501\) | 258288. | − | 25439.2i | 1.02903 | − | 0.101351i | ||||
\(502\) | −36621.2 | + | 304653.i | −0.145320 | + | 1.20892i | ||||
\(503\) | 89097.0 | + | 17722.5i | 0.352149 | + | 0.0700469i | 0.367995 | − | 0.929828i | \(-0.380044\pi\) |
−0.0158461 | + | 0.999874i | \(0.505044\pi\) | |||||||
\(504\) | 2913.11 | − | 1686.07i | 0.0114682 | − | 0.00663766i | ||||
\(505\) | −129787. | + | 25816.2i | −0.508917 | + | 0.101230i | ||||
\(506\) | −175129. | − | 150127.i | −0.684002 | − | 0.586352i | ||||
\(507\) | −45194.2 | + | 148985.i | −0.175819 | + | 0.579599i | ||||
\(508\) | 46131.7 | + | 126463.i | 0.178761 | + | 0.490045i | ||||
\(509\) | 55422.4 | + | 67532.4i | 0.213919 | + | 0.260662i | 0.868904 | − | 0.494981i | \(-0.164825\pi\) |
−0.654985 | + | 0.755642i | \(0.727325\pi\) | |||||||
\(510\) | 21281.5 | + | 120440.i | 0.0818204 | + | 0.463054i | ||||
\(511\) | 17163.1i | 0.0657287i | ||||||||
\(512\) | 847.637 | + | 262143.i | 0.00323348 | + | 0.999995i | ||||
\(513\) | 525724. | 1.99767 | ||||||||
\(514\) | 137571. | − | 24308.4i | 0.520715 | − | 0.0920090i | ||||
\(515\) | −230103. | + | 188841.i | −0.867577 | + | 0.712002i | ||||
\(516\) | −15194.0 | + | 5542.52i | −0.0570653 | + | 0.0208165i | ||||
\(517\) | −169268. | − | 51346.9i | −0.633277 | − | 0.192103i | ||||
\(518\) | −135.981 | + | 158.627i | −0.000506779 | + | 0.000591177i | ||||
\(519\) | 65567.3 | + | 329629.i | 0.243418 | + | 1.22375i | ||||
\(520\) | 204383. | + | 353122.i | 0.755855 | + | 1.30593i | ||||
\(521\) | 53124.2 | − | 267073.i | 0.195712 | − | 0.983909i | −0.750626 | − | 0.660728i | \(-0.770248\pi\) |
0.946337 | − | 0.323181i | \(-0.104752\pi\) | |||||||
\(522\) | 53417.5 | + | 6421.11i | 0.196039 | + | 0.0235651i | ||||
\(523\) | 49430.2 | + | 501874.i | 0.180713 | + | 1.83481i | 0.476052 | + | 0.879417i | \(0.342067\pi\) |
−0.295339 | + | 0.955392i | \(0.595433\pi\) | |||||||
\(524\) | −74335.1 | + | 125775.i | −0.270727 | + | 0.458069i | ||||
\(525\) | 2711.75 | + | 8939.45i | 0.00983856 | + | 0.0324334i | ||||
\(526\) | −75776.8 | − | 194653.i | −0.273883 | − | 0.703540i | ||||
\(527\) | −171372. | + | 70984.5i | −0.617047 | + | 0.255589i | ||||
\(528\) | 201453. | + | 17333.2i | 0.722615 | + | 0.0621743i | ||||
\(529\) | 35461.2 | − | 85611.0i | 0.126719 | − | 0.305927i | ||||
\(530\) | −5144.46 | + | 239716.i | −0.0183142 | + | 0.853386i | ||||
\(531\) | 6058.97 | − | 11335.5i | 0.0214887 | − | 0.0402025i | ||||
\(532\) | 51575.8 | − | 2852.99i | 0.182231 | − | 0.0100804i | ||||
\(533\) | 123678. | + | 101500.i | 0.435351 | + | 0.357283i | ||||
\(534\) | 75180.6 | + | 268442.i | 0.263647 | + | 0.941387i | ||||
\(535\) | −11223.9 | + | 7499.54i | −0.0392134 | + | 0.0262015i | ||||
\(536\) | −209491. | − | 78589.0i | −0.729180 | − | 0.273547i | ||||
\(537\) | −139244. | − | 93040.0i | −0.482868 | − | 0.322642i | ||||
\(538\) | −26789.5 | − | 52815.2i | −0.0925552 | − | 0.182471i | ||||
\(539\) | 105945. | + | 198208.i | 0.364671 | + | 0.682251i | ||||
\(540\) | −187812. | − | 309005.i | −0.644076 | − | 1.05969i | ||||
\(541\) | 10917.1 | − | 110844.i | 0.0373005 | − | 0.378718i | −0.958353 | − | 0.285585i | \(-0.907812\pi\) |
0.995654 | − | 0.0931326i | \(-0.0296880\pi\) | |||||||
\(542\) | −326000. | + | 207850.i | −1.10974 | + | 0.707540i | ||||
\(543\) | −142411. | − | 142411.i | −0.482997 | − | 0.482997i | ||||
\(544\) | −59133.7 | − | 113098.i | −0.199819 | − | 0.382172i | ||||
\(545\) | 317808. | + | 317808.i | 1.06997 | + | 1.06997i | ||||
\(546\) | 7422.22 | − | 33536.5i | 0.0248971 | − | 0.112495i | ||||
\(547\) | −53299.7 | + | 541161.i | −0.178136 | + | 1.80864i | 0.326381 | + | 0.945238i | \(0.394171\pi\) |
−0.504517 | + | 0.863402i | \(0.668329\pi\) | |||||||
\(548\) | −69871.6 | − | 451803.i | −0.232669 | − | 1.50449i | ||||
\(549\) | −33295.0 | − | 62290.6i | −0.110467 | − | 0.206670i | ||||
\(550\) | 27753.9 | − | 84891.0i | 0.0917484 | − | 0.280631i | ||||
\(551\) | 686528. | + | 458723.i | 2.26128 | + | 1.51094i | ||||
\(552\) | 74489.2 | + | 317917.i | 0.244464 | + | 1.04336i | ||||
\(553\) | −9961.82 | + | 6656.27i | −0.0325753 | + | 0.0217661i | ||||
\(554\) | −112146. | − | 63073.5i | −0.365396 | − | 0.205507i | ||||
\(555\) | 2094.71 | + | 1719.08i | 0.00680045 | + | 0.00558098i | ||||
\(556\) | 208115. | + | 433086.i | 0.673216 | + | 1.40096i | ||||
\(557\) | 195173. | − | 365143.i | 0.629085 | − | 1.17693i | −0.342338 | − | 0.939577i | \(-0.611219\pi\) |
0.971422 | − | 0.237358i | \(-0.0762813\pi\) | |||||||
\(558\) | 47808.9 | − | 45800.0i | 0.153547 | − | 0.147095i | ||||
\(559\) | 10052.0 | − | 24267.6i | 0.0321682 | − | 0.0776610i | ||||
\(560\) | −20102.1 | − | 29295.5i | −0.0641012 | − | 0.0934167i | ||||
\(561\) | −90946.5 | + | 37671.3i | −0.288975 | + | 0.119697i | ||||
\(562\) | −248718. | − | 109332.i | −0.787472 | − | 0.346159i | ||||
\(563\) | 142748. | + | 470577.i | 0.450353 | + | 1.48461i | 0.829093 | + | 0.559111i | \(0.188858\pi\) |
−0.378740 | + | 0.925503i | \(0.623642\pi\) | |||||||
\(564\) | 150396. | + | 200192.i | 0.472802 | + | 0.629343i | ||||
\(565\) | −16395.4 | − | 166466.i | −0.0513601 | − | 0.521468i | ||||
\(566\) | 178942. | + | 227839.i | 0.558572 | + | 0.711207i | ||||
\(567\) | −5107.81 | + | 25678.7i | −0.0158880 | + | 0.0798743i | ||||
\(568\) | 478306. | − | 420376.i | 1.48255 | − | 1.30299i | ||||
\(569\) | 106138. | + | 533590.i | 0.327827 | + | 1.64810i | 0.695781 | + | 0.718254i | \(0.255059\pi\) |
−0.367953 | + | 0.929844i | \(0.619941\pi\) | |||||||
\(570\) | −51346.0 | − | 667974.i | −0.158036 | − | 2.05594i | ||||
\(571\) | −272419. | − | 82637.3i | −0.835535 | − | 0.253457i | −0.156607 | − | 0.987661i | \(-0.550055\pi\) |
−0.678929 | + | 0.734204i | \(0.737555\pi\) | |||||||
\(572\) | −241954. | + | 222030.i | −0.739505 | + | 0.678610i | ||||
\(573\) | 252613. | − | 207314.i | 0.769389 | − | 0.631421i | ||||
\(574\) | −11415.7 | − | 7987.23i | −0.0346480 | − | 0.0242422i | ||||
\(575\) | 144230. | 0.436235 | ||||||||
\(576\) | 34312.9 | + | 29961.0i | 0.103422 | + | 0.0903048i | ||||
\(577\) | 387934.i | 1.16522i | 0.812753 | + | 0.582608i | \(0.197968\pi\) | ||||
−0.812753 | + | 0.582608i | \(0.802032\pi\) | |||||||
\(578\) | −222825. | − | 155904.i | −0.666972 | − | 0.466661i | ||||
\(579\) | −1018.06 | − | 1240.51i | −0.00303679 | − | 0.00370034i | ||||
\(580\) | 24364.6 | − | 567397.i | 0.0724275 | − | 1.68667i | ||||
\(581\) | −2495.27 | + | 8225.81i | −0.00739207 | + | 0.0243684i | ||||
\(582\) | −22616.6 | − | 294225.i | −0.0667700 | − | 0.868628i | ||||
\(583\) | −189275. | + | 37649.2i | −0.556874 | + | 0.110769i | ||||
\(584\) | −219873. | + | 74901.2i | −0.644683 | + | 0.219615i | ||||
\(585\) | 69536.3 | + | 13831.6i | 0.203189 | + | 0.0404168i | ||||
\(586\) | −121555. | − | 154771.i | −0.353979 | − | 0.450707i | ||||
\(587\) | −141553. | + | 13941.7i | −0.410812 | + | 0.0404614i | −0.301312 | − | 0.953525i | \(-0.597425\pi\) |
−0.109499 | + | 0.993987i | \(0.534925\pi\) | |||||||
\(588\) | 44737.7 | − | 314981.i | 0.129395 | − | 0.911023i | ||||
\(589\) | 972300. | − | 294944.i | 2.80265 | − | 0.850176i | ||||
\(590\) | −124205. | − | 54598.1i | −0.356808 | − | 0.156846i | ||||
\(591\) | −49606.4 | − | 119760.i | −0.142024 | − | 0.342877i | ||||
\(592\) | −2625.56 | − | 1049.76i | −0.00749167 | − | 0.00299534i | ||||
\(593\) | 222944. | + | 92346.6i | 0.633997 | + | 0.262610i | 0.676450 | − | 0.736488i | \(-0.263517\pi\) |
−0.0424533 | + | 0.999098i | \(0.513517\pi\) | |||||||
\(594\) | 210166. | − | 201335.i | 0.595648 | − | 0.570619i | ||||
\(595\) | 15254.9 | + | 8153.91i | 0.0430899 | + | 0.0230320i | ||||
\(596\) | −642592. | − | 225458.i | −1.80902 | − | 0.634708i | ||||
\(597\) | 227693. | − | 277444.i | 0.638852 | − | 0.778444i | ||||
\(598\) | −462222. | − | 259964.i | −1.29255 | − | 0.726961i | ||||
\(599\) | −52062.1 | − | 77916.5i | −0.145100 | − | 0.217158i | 0.751800 | − | 0.659392i | \(-0.229186\pi\) |
−0.896900 | + | 0.442234i | \(0.854186\pi\) | |||||||
\(600\) | −102687. | + | 73752.0i | −0.285241 | + | 0.204867i | ||||
\(601\) | −155152. | + | 232201.i | −0.429545 | + | 0.642859i | −0.981600 | − | 0.190948i | \(-0.938844\pi\) |
0.552055 | + | 0.833807i | \(0.313844\pi\) | |||||||
\(602\) | −710.790 | + | 2174.10i | −0.00196132 | + | 0.00599910i | ||||
\(603\) | −34289.3 | + | 18328.0i | −0.0943027 | + | 0.0504058i | ||||
\(604\) | −27639.1 | + | 37751.9i | −0.0757618 | + | 0.103482i | ||||
\(605\) | −166875. | − | 16435.7i | −0.455910 | − | 0.0449033i | ||||
\(606\) | −32579.2 | + | 147205.i | −0.0887145 | + | 0.400847i | ||||
\(607\) | −83137.3 | + | 83137.3i | −0.225641 | + | 0.225641i | −0.810869 | − | 0.585228i | \(-0.801005\pi\) |
0.585228 | + | 0.810869i | \(0.301005\pi\) | |||||||
\(608\) | 261629. | + | 648274.i | 0.707749 | + | 1.75369i | ||||
\(609\) | −33807.1 | + | 33807.1i | −0.0911535 | + | 0.0911535i | ||||
\(610\) | −628652. | + | 400813.i | −1.68947 | + | 1.07717i | ||||
\(611\) | −404701. | − | 39859.6i | −1.08406 | − | 0.106770i | ||||
\(612\) | −21545.4 | − | 5255.73i | −0.0575244 | − | 0.0140323i | ||||
\(613\) | 185536. | − | 99171.3i | 0.493751 | − | 0.263916i | −0.205675 | − | 0.978620i | \(-0.565939\pi\) |
0.699426 | + | 0.714705i | \(0.253439\pi\) | |||||||
\(614\) | 144722. | + | 285318.i | 0.383883 | + | 0.756819i | ||||
\(615\) | −100391. | + | 150246.i | −0.265427 | + | 0.397240i | ||||
\(616\) | 19525.6 | − | 20892.4i | 0.0514569 | − | 0.0550588i | ||||
\(617\) | −324454. | − | 485579.i | −0.852280 | − | 1.27553i | −0.959619 | − | 0.281304i | \(-0.909233\pi\) |
0.107339 | − | 0.994222i | \(-0.465767\pi\) | |||||||
\(618\) | 91463.4 | + | 326582.i | 0.239481 | + | 0.855096i | ||||
\(619\) | 232468. | − | 283263.i | 0.606711 | − | 0.739280i | −0.375549 | − | 0.926803i | \(-0.622546\pi\) |
0.982260 | + | 0.187523i | \(0.0600458\pi\) | |||||||
\(620\) | −520709. | − | 466121.i | −1.35460 | − | 1.21259i | ||||
\(621\) | 414504. | + | 221557.i | 1.07484 | + | 0.574516i | ||||
\(622\) | 2020.72 | − | 94159.3i | 0.00522306 | − | 0.243379i | ||||
\(623\) | 36424.6 | + | 15087.5i | 0.0938465 | + | 0.0388725i | ||||
\(624\) | 462019. | − | 51271.3i | 1.18656 | − | 0.131676i | ||||
\(625\) | −184636. | − | 445751.i | −0.472668 | − | 1.14112i | ||||
\(626\) | −118722. | − | 304969.i | −0.302958 | − | 0.778228i | ||||
\(627\) | 515996. | − | 156526.i | 1.31254 | − | 0.398154i | ||||
\(628\) | −81947.9 | − | 318792.i | −0.207787 | − | 0.808330i | ||||
\(629\) | 1370.01 | − | 134.934i | 0.00346275 | − | 0.000341051i | ||||
\(630\) | −6129.74 | − | 736.832i | −0.0154440 | − | 0.00185647i | ||||
\(631\) | −34099.6 | − | 6782.84i | −0.0856428 | − | 0.0170354i | 0.152083 | − | 0.988368i | \(-0.451402\pi\) |
−0.237726 | + | 0.971332i | \(0.576402\pi\) | |||||||
\(632\) | −128746. | − | 98569.9i | −0.322329 | − | 0.246780i | ||||
\(633\) | −276141. | + | 54927.9i | −0.689166 | + | 0.137084i | ||||
\(634\) | −441640. | + | 515190.i | −1.09873 | + | 1.28171i | ||||
\(635\) | 71676.4 | − | 236285.i | 0.177758 | − | 0.585989i | ||||
\(636\) | 247668. | + | 115273.i | 0.612288 | + | 0.284979i | ||||
\(637\) | 327787. | + | 399409.i | 0.807816 | + | 0.984327i | ||||
\(638\) | 450126. | − | 79536.1i | 1.10584 | − | 0.195399i | ||||
\(639\) | − | 110653.i | − | 0.270996i | ||||||
\(640\) | 287570. | − | 385371.i | 0.702075 | − | 0.940847i | ||||
\(641\) | −339527. | −0.826338 | −0.413169 | − | 0.910654i | \(-0.635578\pi\) | ||||
−0.413169 | + | 0.910654i | \(0.635578\pi\) | |||||||
\(642\) | 2676.10 | + | 15145.1i | 0.00649279 | + | 0.0367453i | ||||
\(643\) | −553998. | + | 454655.i | −1.33994 | + | 1.09966i | −0.353522 | + | 0.935426i | \(0.615016\pi\) |
−0.986421 | + | 0.164237i | \(0.947484\pi\) | |||||||
\(644\) | 41867.0 | + | 19486.3i | 0.100949 | + | 0.0469848i | ||||
\(645\) | 28388.7 | + | 8611.61i | 0.0682379 | + | 0.0206997i | ||||
\(646\) | −258397. | − | 221508.i | −0.619189 | − | 0.530792i | ||||
\(647\) | −58924.4 | − | 296233.i | −0.140762 | − | 0.707660i | −0.985118 | − | 0.171878i | \(-0.945017\pi\) |
0.844356 | − | 0.535783i | \(-0.179983\pi\) | |||||||
\(648\) | −351255. | + | 46628.7i | −0.836512 | + | 0.111046i | ||||
\(649\) | 21303.9 | − | 107102.i | 0.0505790 | − | 0.254278i | ||||
\(650\) | 24505.6 | − | 203863.i | 0.0580014 | − | 0.482516i | ||||
\(651\) | 5766.72 | + | 58550.5i | 0.0136071 | + | 0.138156i | ||||
\(652\) | 73121.1 | + | 284455.i | 0.172008 | + | 0.669141i | ||||
\(653\) | −179879. | − | 592980.i | −0.421845 | − | 1.39064i | −0.868393 | − | 0.495877i | \(-0.834847\pi\) |
0.446548 | − | 0.894760i | \(-0.352653\pi\) | |||||||
\(654\) | 477188. | − | 185766.i | 1.11567 | − | 0.434321i | ||||
\(655\) | 247585. | − | 102553.i | 0.577088 | − | 0.239038i | ||||
\(656\) | 52503.6 | − | 181100.i | 0.122006 | − | 0.420834i | ||||
\(657\) | −15446.3 | + | 37290.7i | −0.0357844 | + | 0.0863913i | ||||
\(658\) | 35403.9 | + | 759.789i | 0.0817709 | + | 0.00175486i | ||||
\(659\) | 188024. | − | 351769.i | 0.432956 | − | 0.810003i | −0.566950 | − | 0.823752i | \(-0.691877\pi\) |
0.999905 | + | 0.0137490i | \(0.00437659\pi\) | |||||||
\(660\) | −276339. | − | 247369.i | −0.634386 | − | 0.567881i | ||||
\(661\) | −638317. | − | 523853.i | −1.46094 | − | 1.19897i | −0.938018 | − | 0.346587i | \(-0.887340\pi\) |
−0.522926 | − | 0.852378i | \(-0.675160\pi\) | |||||||
\(662\) | 275004. | − | 77018.5i | 0.627514 | − | 0.175743i | ||||
\(663\) | −188173. | + | 125733.i | −0.428086 | + | 0.286038i | ||||
\(664\) | −116268. | + | 3931.69i | −0.263709 | + | 0.00891750i | ||||
\(665\) | −78780.1 | − | 52639.2i | −0.178145 | − | 0.119033i | ||||
\(666\) | −438.208 | + | 222.273i | −0.000987943 | + | 0.000501116i | ||||
\(667\) | 347968. | + | 651002.i | 0.782146 | + | 1.46329i | ||||
\(668\) | 482610. | + | 117726.i | 1.08154 | + | 0.263828i | ||||
\(669\) | −25456.5 | + | 258464.i | −0.0568783 | + | 0.577495i | ||||
\(670\) | 220637. | + | 346057.i | 0.491506 | + | 0.770899i | ||||
\(671\) | −424315. | − | 424315.i | −0.942418 | − | 0.942418i | ||||
\(672\) | −39772.2 | + | 7535.10i | −0.0880725 | + | 0.0166859i | ||||
\(673\) | 199887. | + | 199887.i | 0.441320 | + | 0.441320i | 0.892455 | − | 0.451136i | \(-0.148981\pi\) |
−0.451136 | + | 0.892455i | \(0.648981\pi\) | |||||||
\(674\) | −682618. | − | 151075.i | −1.50265 | − | 0.332563i | ||||
\(675\) | −17837.1 | + | 181103.i | −0.0391486 | + | 0.397482i | ||||
\(676\) | −176033. | + | 240441.i | −0.385214 | + | 0.526158i | ||||
\(677\) | 88194.2 | + | 165000.i | 0.192426 | + | 0.360003i | 0.959569 | − | 0.281472i | \(-0.0908227\pi\) |
−0.767144 | + | 0.641475i | \(0.778323\pi\) | |||||||
\(678\) | −181143. | − | 59222.1i | −0.394060 | − | 0.128832i | ||||
\(679\) | −34700.6 | − | 23186.2i | −0.0752658 | − | 0.0502910i | ||||
\(680\) | −37884.3 | + | 231011.i | −0.0819297 | + | 0.499591i | ||||
\(681\) | −573630. | + | 383288.i | −1.23691 | + | 0.826477i | ||||
\(682\) | 275738. | − | 490267.i | 0.592826 | − | 1.05406i | ||||
\(683\) | 448132. | + | 367772.i | 0.960648 | + | 0.788384i | 0.977383 | − | 0.211476i | \(-0.0678271\pi\) |
−0.0167348 | + | 0.999860i | \(0.505327\pi\) | |||||||
\(684\) | 114627. | + | 40217.9i | 0.245006 | + | 0.0859622i | ||||
\(685\) | −395302. | + | 739558.i | −0.842458 | + | 1.57613i | ||||
\(686\) | −62543.5 | − | 65286.8i | −0.132903 | − | 0.138732i | ||||
\(687\) | 33287.5 | − | 80363.1i | 0.0705290 | − | 0.170272i | ||||
\(688\) | −30953.8 | + | 382.156i | −0.0653938 | + | 0.000807354i | ||||
\(689\) | −409899. | + | 169786.i | −0.863451 | + | 0.357653i | ||||
\(690\) | 241022. | − | 548299.i | 0.506243 | − | 1.15165i | ||||
\(691\) | −25936.3 | − | 85500.6i | −0.0543191 | − | 0.179066i | 0.925583 | − | 0.378544i | \(-0.123575\pi\) |
−0.979902 | + | 0.199478i | \(0.936075\pi\) | |||||||
\(692\) | −90459.0 | + | 636887.i | −0.188903 | + | 1.32999i | ||||
\(693\) | −487.060 | − | 4945.20i | −0.00101418 | − | 0.0102972i | ||||
\(694\) | −344390. | + | 270479.i | −0.715042 | + | 0.561583i | ||||
\(695\) | 171943. | − | 864417.i | 0.355972 | − | 1.78959i | ||||
\(696\) | −580631. | − | 285558.i | −1.19862 | − | 0.589489i | ||||
\(697\) | 17909.1 | + | 90035.1i | 0.0368645 | + | 0.185330i | ||||
\(698\) | 571782. | − | 43951.9i | 1.17360 | − | 0.0902126i | ||||
\(699\) | 548487. | + | 166382.i | 1.12257 | + | 0.340527i | ||||
\(700\) | −767.090 | + | 17863.8i | −0.00156549 | + | 0.0364567i | ||||
\(701\) | −237230. | + | 194689.i | −0.482762 | + | 0.396192i | −0.844052 | − | 0.536261i | \(-0.819836\pi\) |
0.361291 | + | 0.932453i | \(0.382336\pi\) | |||||||
\(702\) | 383588. | − | 548240.i | 0.778379 | − | 1.11249i | ||||
\(703\) | −7540.67 | −0.0152581 | ||||||||
\(704\) | 352858. | + | 158962.i | 0.711959 | + | 0.320736i | ||||
\(705\) | − | 459282.i | − | 0.924063i | ||||||
\(706\) | −94607.8 | + | 135217.i | −0.189809 | + | 0.271283i | ||||
\(707\) | 13526.9 | + | 16482.6i | 0.0270619 | + | 0.0329751i | ||||
\(708\) | −113893. | + | 104514.i | −0.227212 | + | 0.208502i | ||||
\(709\) | 175572. | − | 578785.i | 0.349272 | − | 1.15140i | −0.589764 | − | 0.807576i | \(-0.700779\pi\) |
0.939036 | − | 0.343820i | \(-0.111721\pi\) | |||||||
\(710\) | −1.16459e6 | + | 89520.1i | −2.31024 | + | 0.177584i | ||||
\(711\) | −27634.7 | + | 5496.88i | −0.0546657 | + | 0.0108737i | ||||
\(712\) | −34323.5 | + | 532469.i | −0.0677068 | + | 1.05035i | ||||
\(713\) | 890903. | + | 177212.i | 1.75247 | + | 0.348588i | ||||
\(714\) | 15498.8 | − | 12172.6i | 0.0304020 | − | 0.0238773i | ||||
\(715\) | 599450. | − | 59040.6i | 1.17258 | − | 0.115489i | ||||
\(716\) | −192529. | − | 256274.i | −0.375552 | − | 0.499895i | ||||
\(717\) | −207182. | + | 62847.8i | −0.403007 | + | 0.122251i | ||||
\(718\) | −115444. | + | 262621.i | −0.223934 | + | 0.509426i | ||||
\(719\) | −109573. | − | 264534.i | −0.211957 | − | 0.511709i | 0.781767 | − | 0.623571i | \(-0.214319\pi\) |
−0.993724 | + | 0.111862i | \(0.964319\pi\) | |||||||
\(720\) | −17311.2 | − | 81742.2i | −0.0333936 | − | 0.157682i | ||||
\(721\) | 44313.5 | + | 18355.2i | 0.0852443 | + | 0.0353093i | ||||
\(722\) | 929047. | + | 969797.i | 1.78223 | + | 1.86040i | ||||
\(723\) | −715435. | − | 382408.i | −1.36865 | − | 0.731561i | ||||
\(724\) | −166964. | − | 347450.i | −0.318526 | − | 0.662849i | ||||
\(725\) | −181315. | + | 220933.i | −0.344952 | + | 0.420325i | ||||
\(726\) | −93652.9 | + | 166517.i | −0.177684 | + | 0.315925i | ||||
\(727\) | −473468. | − | 708595.i | −0.895822 | − | 1.34069i | −0.939823 | − | 0.341661i | \(-0.889010\pi\) |
0.0440007 | − | 0.999031i | \(-0.485990\pi\) | |||||||
\(728\) | 34656.5 | − | 55866.4i | 0.0653916 | − | 0.105411i | ||||
\(729\) | −323895. | + | 484743.i | −0.609465 | + | 0.912129i | ||||
\(730\) | 404969. | + | 132399.i | 0.759935 | + | 0.248450i | ||||
\(731\) | 13291.4 | − | 7104.40i | 0.0248734 | − | 0.0132951i | ||||
\(732\) | 129823. | + | 839460.i | 0.242286 | + | 1.56667i | ||||
\(733\) | 808021. | + | 79583.2i | 1.50389 | + | 0.148120i | 0.816150 | − | 0.577841i | \(-0.196104\pi\) |
0.687736 | + | 0.725960i | \(0.258604\pi\) | |||||||
\(734\) | −167974. | − | 37175.6i | −0.311781 | − | 0.0690027i | ||||
\(735\) | −412636. | + | 412636.i | −0.763822 | + | 0.763822i | ||||
\(736\) | −66923.5 | + | 621387.i | −0.123544 | + | 1.14711i | ||||
\(737\) | −233574. | + | 233574.i | −0.430022 | + | 0.430022i | ||||
\(738\) | −17614.8 | − | 27627.8i | −0.0323418 | − | 0.0507263i | ||||
\(739\) | 551375. | + | 54305.7i | 1.00962 | + | 0.0994389i | 0.589281 | − | 0.807928i | \(-0.299411\pi\) |
0.420339 | + | 0.907367i | \(0.361911\pi\) | |||||||
\(740\) | 2693.87 | + | 4432.18i | 0.00491941 | + | 0.00809382i | ||||
\(741\) | 1.09328e6 | − | 584372.i | 1.99111 | − | 1.06427i | ||||
\(742\) | 34455.9 | − | 17477.1i | 0.0625829 | − | 0.0317441i | ||||
\(743\) | 91494.2 | − | 136931.i | 0.165736 | − | 0.248041i | −0.739300 | − | 0.673376i | \(-0.764844\pi\) |
0.905036 | + | 0.425335i | \(0.139844\pi\) | |||||||
\(744\) | −724909. | + | 329394.i | −1.30960 | + | 0.595073i | ||||
\(745\) | 693976. | + | 1.03861e6i | 1.25035 | + | 1.87128i | ||||
\(746\) | 40600.9 | − | 11370.8i | 0.0729555 | − | 0.0204321i | ||||
\(747\) | −12824.5 | + | 15626.7i | −0.0229826 | + | 0.0280044i | ||||
\(748\) | −188128. | + | 10406.6i | −0.336242 | + | 0.0185997i | ||||
\(749\) | 1918.27 | + | 1025.33i | 0.00341936 | + | 0.00182769i | ||||
\(750\) | −381340. | − | 8183.80i | −0.677938 | − | 0.0145490i | ||||
\(751\) | 559531. | + | 231765.i | 0.992075 | + | 0.410931i | 0.818885 | − | 0.573958i | \(-0.194593\pi\) |
0.173190 | + | 0.984888i | \(0.444593\pi\) | |||||||
\(752\) | 144771. | + | 456866.i | 0.256004 | + | 0.807891i | ||||
\(753\) | −245399. | − | 592447.i | −0.432796 | − | 1.04486i | ||||
\(754\) | 979286. | − | 381229.i | 1.72253 | − | 0.670568i | ||||
\(755\) | 82126.1 | − | 24912.7i | 0.144074 | − | 0.0437045i | ||||
\(756\) | −29645.7 | + | 50160.5i | −0.0518703 | + | 0.0877644i | ||||
\(757\) | −1.01320e6 | + | 99791.4i | −1.76809 | + | 0.174141i | −0.929054 | − | 0.369943i | \(-0.879377\pi\) |
−0.839031 | + | 0.544084i | \(0.816877\pi\) | |||||||
\(758\) | 8964.21 | − | 74573.7i | 0.0156018 | − | 0.129792i | ||||
\(759\) | 472799. | + | 94045.6i | 0.820717 | + | 0.163251i | ||||
\(760\) | 330546. | − | 1.23895e6i | 0.572275 | − | 2.14500i | ||||
\(761\) | 512172. | − | 101877.i | 0.884395 | − | 0.175917i | 0.268061 | − | 0.963402i | \(-0.413617\pi\) |
0.616334 | + | 0.787485i | \(0.288617\pi\) | |||||||
\(762\) | −213586. | − | 183094.i | −0.367843 | − | 0.315328i | ||||
\(763\) | 21022.6 | − | 69302.3i | 0.0361108 | − | 0.119041i | ||||
\(764\) | 587610. | − | 214351.i | 1.00671 | − | 0.367230i | ||||
\(765\) | 25806.3 | + | 31445.1i | 0.0440964 | + | 0.0537316i | ||||
\(766\) | 132633. | + | 750623.i | 0.226045 | + | 1.27928i | ||||
\(767\) | − | 251052.i | − | 0.426750i | ||||||
\(768\) | −270099. | − | 476627.i | −0.457931 | − | 0.808084i | ||||
\(769\) | −1.07892e6 | −1.82447 | −0.912236 | − | 0.409665i | \(-0.865646\pi\) | ||||
−0.912236 | + | 0.409665i | \(0.865646\pi\) | |||||||
\(770\) | −51652.6 | + | 9126.89i | −0.0871186 | + | 0.0153936i | ||||
\(771\) | −225684. | + | 185214.i | −0.379657 | + | 0.311576i | ||||
\(772\) | −1052.61 | − | 2885.58i | −0.00176618 | − | 0.00484170i | ||||
\(773\) | −426847. | − | 129483.i | −0.714353 | − | 0.216697i | −0.0878704 | − | 0.996132i | \(-0.528006\pi\) |
−0.626483 | + | 0.779435i | \(0.715506\pi\) | |||||||
\(774\) | −3500.97 | + | 4084.01i | −0.00584395 | + | 0.00681719i | ||||
\(775\) | 68614.4 | + | 344948.i | 0.114238 | + | 0.574315i | ||||
\(776\) | 145597. | − | 545727.i | 0.241785 | − | 0.906259i | ||||
\(777\) | 85.1838 | − | 428.248i | 0.000141096 | − | 0.000709338i | ||||
\(778\) | −897575. | − | 107894.i | −1.48290 | − | 0.178253i | ||||
\(779\) | −49286.8 | − | 500418.i | −0.0812187 | − | 0.824627i | ||||
\(780\) | −734046. | − | 433834.i | −1.20652 | − | 0.713074i | ||||
\(781\) | −272898. | − | 899623.i | −0.447402 | − | 1.47489i | ||||
\(782\) | −110381. | − | 283543.i | −0.180502 | − | 0.463667i | ||||
\(783\) | −860467. | + | 356417.i | −1.40349 | + | 0.581346i | ||||
\(784\) | 280397. | − | 540532.i | 0.456185 | − | 0.879406i | ||||
\(785\) | −231048. | + | 557800.i | −0.374942 | + | 0.905189i | ||||
\(786\) | 6550.94 | − | 305254.i | 0.0106037 | − | 0.494101i | ||||
\(787\) | 113881. | − | 213056.i | 0.183865 | − | 0.343988i | −0.773055 | − | 0.634339i | \(-0.781272\pi\) |
0.956920 | + | 0.290351i | \(0.0937722\pi\) | |||||||
\(788\) | −13703.6 | − | 247732.i | −0.0220690 | − | 0.398960i | ||||
\(789\) | 337442. | + | 276932.i | 0.542058 | + | 0.444855i | ||||
\(790\) | 80209.8 | + | 286399.i | 0.128521 | + | 0.458900i | ||||
\(791\) | −22410.5 | + | 14974.2i | −0.0358177 | + | 0.0239326i | ||||
\(792\) | 61226.2 | − | 27820.8i | 0.0976083 | − | 0.0443526i | ||||
\(793\) | −1.14707e6 | − | 766449.i | −1.82408 | − | 1.21881i | ||||
\(794\) | −382775. | − | 754636.i | −0.607160 | − | 1.19701i | ||||
\(795\) | −236209. | − | 441916.i | −0.373734 | − | 0.699206i | ||||
\(796\) | 587043. | − | 356804.i | 0.926496 | − | 0.563123i | ||||
\(797\) | −111915. | + | 1.13629e6i | −0.176186 | + | 1.78885i | 0.348252 | + | 0.937401i | \(0.386775\pi\) |
−0.524439 | + | 0.851448i | \(0.675725\pi\) | |||||||
\(798\) | −91023.2 | + | 58034.1i | −0.142937 | + | 0.0911334i | ||||
\(799\) | −164985. | − | 164985.i | −0.258435 | − | 0.258435i | ||||
\(800\) | −232196. | + | 68131.8i | −0.362806 | + | 0.106456i | ||||
\(801\) | 65562.0 | + | 65562.0i | 0.102185 | + | 0.102185i | ||||
\(802\) | −57053.3 | + | 257789.i | −0.0887017 | + | 0.400789i | ||||
\(803\) | −33612.3 | + | 341272.i | −0.0521276 | + | 0.529260i | ||||
\(804\) | 462101. | − | 71464.1i | 0.714866 | − | 0.110554i | ||||
\(805\) | −39929.9 | − | 74703.5i | −0.0616178 | − | 0.115279i | ||||
\(806\) | 401851. | − | 1.22914e6i | 0.618579 | − | 1.89205i | ||||
\(807\) | 102905. | + | 68758.6i | 0.158011 | + | 0.105580i | ||||
\(808\) | −152122. | + | 245221.i | −0.233007 | + | 0.375607i | ||||
\(809\) | 972997. | − | 650136.i | 1.48667 | − | 0.993361i | 0.494404 | − | 0.869232i | \(-0.335386\pi\) |
0.992266 | − | 0.124129i | \(-0.0396136\pi\) | |||||||
\(810\) | 566494. | + | 318609.i | 0.863426 | + | 0.485611i | ||||
\(811\) | 443397. | + | 363887.i | 0.674142 | + | 0.553254i | 0.907976 | − | 0.419022i | \(-0.137627\pi\) |
−0.233834 | + | 0.972277i | \(0.575127\pi\) | |||||||
\(812\) | −82481.3 | + | 39635.6i | −0.125096 | + | 0.0601137i | ||||
\(813\) | 380880. | − | 712576.i | 0.576244 | − | 1.07808i | ||||
\(814\) | −3014.50 | + | 2887.83i | −0.00454953 | + | 0.00435836i | ||||
\(815\) | 206162. | − | 497718.i | 0.310379 | − | 0.749322i | ||||
\(816\) | 223578. | + | 145430.i | 0.335775 | + | 0.218410i | ||||
\(817\) | −76268.9 | + | 31591.6i | −0.114262 | + | 0.0473290i | ||||
\(818\) | 569120. | + | 250175.i | 0.850545 | + | 0.373884i | ||||
\(819\) | −3316.23 | − | 10932.2i | −0.00494399 | − | 0.0162981i | ||||
\(820\) | −276523. | + | 207741.i | −0.411248 | + | 0.308955i | ||||
\(821\) | 49369.1 | + | 501253.i | 0.0732434 | + | 0.743653i | 0.959735 | + | 0.280908i | \(0.0906355\pi\) |
−0.886491 | + | 0.462745i | \(0.846865\pi\) | |||||||
\(822\) | 590127. | + | 751385.i | 0.873377 | + | 1.11204i | ||||
\(823\) | −17561.1 | + | 88285.7i | −0.0259270 | + | 0.130344i | −0.991581 | − | 0.129487i | \(-0.958667\pi\) |
0.965654 | + | 0.259831i | \(0.0836669\pi\) | |||||||
\(824\) | −41757.4 | + | 647792.i | −0.0615006 | + | 0.954073i | ||||
\(825\) | 36413.4 | + | 183063.i | 0.0535000 | + | 0.268963i | ||||
\(826\) | 1675.53 | + | 21797.4i | 0.00245579 | + | 0.0319481i | ||||
\(827\) | −566269. | − | 171776.i | −0.827965 | − | 0.251160i | −0.152267 | − | 0.988339i | \(-0.548657\pi\) |
−0.675698 | + | 0.737179i | \(0.736157\pi\) | |||||||
\(828\) | 73428.1 | + | 80017.2i | 0.107103 | + | 0.116714i | ||||
\(829\) | −865330. | + | 710158.i | −1.25914 | + | 1.03335i | −0.261460 | + | 0.965214i | \(0.584204\pi\) |
−0.997676 | + | 0.0681318i | \(0.978296\pi\) | |||||||
\(830\) | 174841. | + | 122332.i | 0.253798 | + | 0.177575i | ||||
\(831\) | 268892. | 0.389381 | ||||||||
\(832\) | 866934. | + | 200171.i | 1.25239 | + | 0.289171i | ||||
\(833\) | 296458.i | 0.427241i | ||||||||
\(834\) | −822764. | − | 575665.i | −1.18289 | − | 0.827633i | ||||
\(835\) | −578053. | − | 704359.i | −0.829076 | − | 1.01023i | ||||
\(836\) | 1.03112e6 | + | 44277.4i | 1.47536 | + | 0.0633533i | ||||
\(837\) | −332695. | + | 1.09675e6i | −0.474893 | + | 1.56551i | ||||
\(838\) | 18712.2 | + | 243432.i | 0.0266463 | + | 0.346649i | ||||
\(839\) | 645897. | − | 128477.i | 0.917571 | − | 0.182516i | 0.286355 | − | 0.958124i | \(-0.407556\pi\) |
0.631216 | + | 0.775607i | \(0.282556\pi\) | |||||||
\(840\) | 66628.3 | + | 32768.2i | 0.0944279 | + | 0.0464402i | ||||
\(841\) | −740961. | − | 147386.i | −1.04762 | − | 0.208384i | ||||
\(842\) | 328213. | + | 417901.i | 0.462948 | + | 0.589453i | ||||
\(843\) | 565050. | − | 55652.6i | 0.795118 | − | 0.0783123i | ||||
\(844\) | −533541. | − | 75780.5i | −0.749002 | − | 0.106383i | ||||
\(845\) | 523060. | − | 158669.i | 0.732552 | − | 0.222217i | ||||
\(846\) | 76238.9 | + | 33513.2i | 0.106521 | + | 0.0468247i | ||||
\(847\) | 10339.7 | + | 24962.3i | 0.0144126 | + | 0.0347951i | ||||
\(848\) | 374263. | + | 365135.i | 0.520458 | + | 0.507763i | ||||
\(849\) | −559357. | − | 231693.i | −0.776022 | − | 0.321439i | ||||
\(850\) | 85072.7 | − | 81498.0i | 0.117748 | − | 0.112800i | ||||
\(851\) | −5945.40 | − | 3177.88i | −0.00820959 | − | 0.00438812i | ||||
\(852\) | −440582. | + | 1.25573e6i | −0.606942 | + | 1.72988i | ||||
\(853\) | −614103. | + | 748286.i | −0.844001 | + | 1.02842i | 0.155177 | + | 0.987887i | \(0.450405\pi\) |
−0.999178 | + | 0.0405317i | \(0.987095\pi\) | |||||||
\(854\) | 104709. | + | 58890.7i | 0.143571 | + | 0.0807478i | ||||
\(855\) | −123793. | − | 185270.i | −0.169342 | − | 0.253439i | ||||
\(856\) | −4763.86 | + | 29049.0i | −0.00650147 | + | 0.0396446i | ||||
\(857\) | 763297. | − | 1.14236e6i | 1.03928 | − | 1.55539i | 0.225477 | − | 0.974248i | \(-0.427606\pi\) |
0.813802 | − | 0.581142i | \(-0.197394\pi\) | |||||||
\(858\) | 213261. | − | 652303.i | 0.289692 | − | 0.886084i | ||||
\(859\) | −359189. | + | 191990.i | −0.486784 | + | 0.260191i | −0.696481 | − | 0.717575i | \(-0.745252\pi\) |
0.209697 | + | 0.977766i | \(0.432752\pi\) | |||||||
\(860\) | 45815.3 | + | 33542.6i | 0.0619460 | + | 0.0453523i | ||||
\(861\) | 28976.4 | + | 2853.92i | 0.0390875 | + | 0.00384978i | ||||
\(862\) | −183892. | + | 830896.i | −0.247485 | + | 1.11823i | ||||
\(863\) | 162994. | − | 162994.i | 0.218851 | − | 0.218851i | −0.589163 | − | 0.808014i | \(-0.700542\pi\) |
0.808014 | + | 0.589163i | \(0.200542\pi\) | |||||||
\(864\) | −771970. | − | 160880.i | −1.03412 | − | 0.215514i | ||||
\(865\) | 834344. | − | 834344.i | 1.11510 | − | 1.11510i | ||||
\(866\) | 223447. | − | 142464.i | 0.297947 | − | 0.189964i | ||||
\(867\) | 565595. | + | 55706.3i | 0.752432 | + | 0.0741081i | ||||
\(868\) | −26687.0 | + | 109401.i | −0.0354210 | + | 0.145205i | ||||
\(869\) | −211116. | + | 112844.i | −0.279565 | + | 0.149430i | ||||
\(870\) | 536895. | + | 1.05848e6i | 0.709335 | + | 1.39844i | ||||
\(871\) | −421910. | + | 631433.i | −0.556140 | + | 0.832322i | ||||
\(872\) | 979558. | − | 33124.4i | 1.28824 | − | 0.0435627i | ||||
\(873\) | −54527.8 | − | 81606.6i | −0.0715467 | − | 0.107077i | ||||
\(874\) | 449480. | + | 1.60493e6i | 0.588420 | + | 2.10103i | ||||
\(875\) | −34221.8 | + | 41699.3i | −0.0446978 | + | 0.0544644i | ||||
\(876\) | 323768. | − | 361684.i | 0.421915 | − | 0.471326i | ||||
\(877\) | −1.22520e6 | − | 654883.i | −1.59297 | − | 0.851461i | −0.998892 | − | 0.0470535i | \(-0.985017\pi\) |
−0.594078 | − | 0.804407i | \(-0.702483\pi\) | |||||||
\(878\) | −17360.6 | + | 808951.i | −0.0225204 | + | 1.04938i | ||||
\(879\) | 379971. | + | 157389.i | 0.491782 | + | 0.203703i | ||||
\(880\) | −342338. | − | 621879.i | −0.442069 | − | 0.803046i | ||||
\(881\) | −153704. | − | 371075.i | −0.198031 | − | 0.478090i | 0.793403 | − | 0.608697i | \(-0.208307\pi\) |
−0.991434 | + | 0.130607i | \(0.958307\pi\) | |||||||
\(882\) | −38386.2 | − | 98605.1i | −0.0493444 | − | 0.126754i | ||||
\(883\) | 941719. | − | 285667.i | 1.20781 | − | 0.366386i | 0.378728 | − | 0.925508i | \(-0.376362\pi\) |
0.829086 | + | 0.559122i | \(0.188862\pi\) | |||||||
\(884\) | −419531. | + | 107844.i | −0.536858 | + | 0.138003i | ||||
\(885\) | 282174. | − | 27791.7i | 0.360272 | − | 0.0354837i | ||||
\(886\) | 1.12831e6 | + | 135630.i | 1.43735 | + | 0.172778i | ||||
\(887\) | −853435. | − | 169759.i | −1.08473 | − | 0.215767i | −0.379820 | − | 0.925060i | \(-0.624014\pi\) |
−0.704913 | + | 0.709293i | \(0.749014\pi\) | |||||||
\(888\) | 5857.93 | − | 777.635i | 0.00742879 | − | 0.000986165i | ||||
\(889\) | −39022.0 | + | 7761.95i | −0.0493748 | + | 0.00982126i | ||||
\(890\) | 636979. | − | 743060.i | 0.804165 | − | 0.938089i | ||||
\(891\) | −151853. | + | 500592.i | −0.191279 | + | 0.630563i | ||||
\(892\) | −209760. | + | 450677.i | −0.263629 | + | 0.566416i | ||||
\(893\) | 810794. | + | 987955.i | 1.01673 | + | 1.23889i | ||||
\(894\) | 1.40146e6 | − | 247635.i | 1.75350 | − | 0.309839i | ||||
\(895\) | 587948.i | 0.733994i | ||||||||
\(896\) | −76606.7 | − | 11593.7i | −0.0954225 | − | 0.0144413i | ||||
\(897\) | 1.10827e6 | 1.37740 | ||||||||
\(898\) | 261183. | + | 1.47814e6i | 0.323887 | + | 1.83300i | ||||
\(899\) | −1.39143e6 | + | 1.14192e6i | −1.72164 | + | 1.41291i | ||||
\(900\) | −17743.5 | + | 38122.6i | −0.0219056 | + | 0.0470650i | ||||
\(901\) | −243599. | − | 73895.0i | −0.300072 | − | 0.0910260i | ||||
\(902\) | −211347. | − | 181174.i | −0.259766 | − | 0.222681i | ||||
\(903\) | −932.565 | − | 4688.32i | −0.00114368 | − | 0.00574966i | ||||
\(904\) | −289631. | − | 221746.i | −0.354412 | − | 0.271344i | ||||
\(905\) | −137944. | + | 693492.i | −0.168425 | + | 0.846729i | ||||
\(906\) | 11669.7 | − | 97080.7i | 0.0142168 | − | 0.118270i | ||||
\(907\) | 27093.0 | + | 275079.i | 0.0329338 | + | 0.334383i | 0.997507 | + | 0.0705673i | \(0.0224809\pi\) |
−0.964573 | + | 0.263815i | \(0.915019\pi\) | |||||||
\(908\) | −1.27891e6 | + | 328752.i | −1.55120 | + | 0.398746i | ||||
\(909\) | 14556.3 | + | 47985.8i | 0.0176167 | + | 0.0580744i | ||||
\(910\) | −112375. | + | 43746.6i | −0.135702 | + | 0.0528277i | ||||
\(911\) | −1.00048e6 | + | 414410.i | −1.20551 | + | 0.499337i | −0.892774 | − | 0.450504i | \(-0.851244\pi\) |
−0.312732 | + | 0.949841i | \(0.601244\pi\) | |||||||
\(912\) | −1.14069e6 | − | 912810.i | −1.37145 | − | 1.09747i | ||||
\(913\) | −65725.4 | + | 158675.i | −0.0788482 | + | 0.190356i | ||||
\(914\) | 306614. | + | 6580.13i | 0.367028 | + | 0.00787666i | ||||
\(915\) | 734480. | − | 1.37412e6i | 0.877279 | − | 1.64127i | ||||
\(916\) | 111044. | − | 124049.i | 0.132344 | − | 0.147843i | ||||
\(917\) | −33379.3 | − | 27393.7i | −0.0396953 | − | 0.0325771i | ||||
\(918\) | 369683. | − | 103534.i | 0.438676 | − | 0.122857i | ||||
\(919\) | −392368. | + | 262172.i | −0.464582 | + | 0.310424i | −0.765740 | − | 0.643150i | \(-0.777627\pi\) |
0.301158 | + | 0.953574i | \(0.402627\pi\) | |||||||
\(920\) | 782752. | − | 837543.i | 0.924801 | − | 0.989536i | ||||
\(921\) | −555910. | − | 371447.i | −0.655368 | − | 0.437903i | ||||
\(922\) | −326471. | + | 165597.i | −0.384045 | + | 0.194800i | ||||
\(923\) | −1.01883e6 | − | 1.90610e6i | −1.19591 | − | 2.23740i | ||||
\(924\) | −14162.7 | + | 58058.9i | −0.0165883 | + | 0.0680025i | ||||
\(925\) | 255.844 | − | 2597.63i | 0.000299015 | − | 0.00303595i | ||||
\(926\) | −117522. | − | 184327.i | −0.137056 | − | 0.214964i | ||||
\(927\) | 79761.6 | + | 79761.6i | 0.0928184 | + | 0.0928184i | ||||
\(928\) | −867716. | − | 883675.i | −1.00759 | − | 1.02612i | ||||
\(929\) | 816420. | + | 816420.i | 0.945980 | + | 0.945980i | 0.998614 | − | 0.0526338i | \(-0.0167616\pi\) |
−0.0526338 | + | 0.998614i | \(0.516762\pi\) | |||||||
\(930\) | 1.42600e6 | + | 315599.i | 1.64874 | + | 0.364897i | ||||
\(931\) | 159168. | − | 1.61606e6i | 0.183635 | − | 1.86448i | ||||
\(932\) | 885180. | + | 648064.i | 1.01906 | + | 0.746081i | ||||
\(933\) | 92781.7 | + | 173582.i | 0.106586 | + | 0.199408i | ||||
\(934\) | −1.40533e6 | − | 459452.i | −1.61096 | − | 0.526680i | ||||
\(935\) | 287359. | + | 192007.i | 0.328702 | + | 0.219631i | ||||
\(936\) | 125577. | − | 90192.2i | 0.143337 | − | 0.102948i | ||||
\(937\) | 914141. | − | 610809.i | 1.04120 | − | 0.695707i | 0.0874069 | − | 0.996173i | \(-0.472142\pi\) |
0.953793 | + | 0.300465i | \(0.0971420\pi\) | |||||||
\(938\) | 32417.8 | − | 57639.5i | 0.0368449 | − | 0.0655110i | ||||
\(939\) | 528682. | + | 433878.i | 0.599602 | + | 0.492081i | ||||
\(940\) | 291038. | − | 829503.i | 0.329377 | − | 0.938776i | ||||
\(941\) | −54974.7 | + | 102850.i | −0.0620845 | + | 0.116152i | −0.911049 | − | 0.412298i | \(-0.864726\pi\) |
0.848965 | + | 0.528450i | \(0.177226\pi\) | |||||||
\(942\) | 475859. | + | 496732.i | 0.536262 | + | 0.559783i | ||||
\(943\) | 172032. | − | 415322.i | 0.193458 | − | 0.467049i | ||||
\(944\) | −271929. | + | 116590.i | −0.305149 | + | 0.130833i | ||||
\(945\) | 98739.9 | − | 40899.4i | 0.110568 | − | 0.0457987i | ||||
\(946\) | −18391.1 | + | 41837.7i | −0.0205506 | + | 0.0467504i | ||||
\(947\) | −122158. | − | 402701.i | −0.136214 | − | 0.449037i | 0.862122 | − | 0.506701i | \(-0.169135\pi\) |
−0.998336 | + | 0.0576633i | \(0.981635\pi\) | |||||||
\(948\) | 335493. | + | 47651.2i | 0.373308 | + | 0.0530221i | ||||
\(949\) | 77275.1 | + | 784587.i | 0.0858039 | + | 0.871182i | ||||
\(950\) | −507508. | + | 398589.i | −0.562335 | + | 0.441650i | ||||
\(951\) | 276661. | − | 1.39087e6i | 0.305905 | − | 1.53789i | ||||
\(952\) | 35705.7 | − | 12163.4i | 0.0393970 | − | 0.0134209i | ||||
\(953\) | −54020.4 | − | 271579.i | −0.0594801 | − | 0.299027i | 0.939582 | − | 0.342324i | \(-0.111214\pi\) |
−0.999062 | + | 0.0432968i | \(0.986214\pi\) | |||||||
\(954\) | 90591.9 | − | 6963.65i | 0.0995389 | − | 0.00765139i | ||||
\(955\) | −1.09790e6 | − | 333044.i | −1.20380 | − | 0.365170i | ||||
\(956\) | −414013. | − | 17778.1i | −0.452999 | − | 0.0194523i | ||||
\(957\) | −738428. | + | 606012.i | −0.806277 | + | 0.661694i | ||||
\(958\) | 486756. | − | 695691.i | 0.530372 | − | 0.758029i | ||||
\(959\) | 135122. | 0.146923 | ||||||||
\(960\) | −129015. | + | 996562.i | −0.139990 | + | 1.08134i | ||||
\(961\) | 1.29151e6i | 1.39846i | ||||||||
\(962\) | −5501.96 | + | 7863.63i | −0.00594521 | + | 0.00849714i | ||||
\(963\) | 3245.08 | + | 3954.14i | 0.00349924 | + | 0.00426383i | ||||
\(964\) | −1.04981e6 | − | 1.14402e6i | −1.12969 | − | 1.23106i | ||||
\(965\) | −1635.48 | + | 5391.46i | −0.00175627 | + | 0.00578964i | ||||
\(966\) | −96224.1 | + | 7396.58i | −0.103117 | + | 0.00792642i | ||||
\(967\) | 939268. | − | 186832.i | 1.00447 | − | 0.199801i | 0.334663 | − | 0.942338i | \(-0.391377\pi\) |
0.669806 | + | 0.742536i | \(0.266377\pi\) | |||||||
\(968\) | −274663. | + | 241397.i | −0.293123 | + | 0.257621i | ||||
\(969\) | 697600. | + | 138761.i | 0.742948 | + | 0.147782i | ||||
\(970\) | −814770. | + | 639909.i | −0.865948 | + | 0.680103i | ||||
\(971\) | −209886. | + | 20671.9i | −0.222610 | + | 0.0219251i | −0.208707 | − | 0.977978i | \(-0.566926\pi\) |
−0.0139027 | + | 0.999903i | \(0.504426\pi\) | |||||||
\(972\) | −205884. | + | 154673.i | −0.217916 | + | 0.163712i | ||||
\(973\) | −135899. | + | 41224.6i | −0.143546 | + | 0.0435443i | ||||
\(974\) | 76587.9 | − | 174229.i | 0.0807313 | − | 0.183655i | ||||
\(975\) | 164213. | + | 396444.i | 0.172742 | + | 0.417035i | ||||
\(976\) | −297477. | + | 1.59840e6i | −0.312287 | + | 1.67798i | ||||
\(977\) | −927710. | − | 384270.i | −0.971904 | − | 0.402576i | −0.160483 | − | 0.987039i | \(-0.551305\pi\) |
−0.811420 | + | 0.584463i | \(0.801305\pi\) | |||||||
\(978\) | −424604. | − | 443228.i | −0.443921 | − | 0.463393i | ||||
\(979\) | 694718. | + | 371334.i | 0.724842 | + | 0.387436i | ||||
\(980\) | −1.00673e6 | + | 483776.i | −1.04824 | + | 0.503723i | ||||
\(981\) | 108046. | − | 131655.i | 0.112272 | − | 0.136804i | ||||
\(982\) | −786206. | + | 1.39789e6i | −0.815292 | + | 1.44961i | ||||
\(983\) | −217342. | − | 325276.i | −0.224925 | − | 0.336624i | 0.701794 | − | 0.712380i | \(-0.252383\pi\) |
−0.926718 | + | 0.375757i | \(0.877383\pi\) | |||||||
\(984\) | 89894.0 | + | 383664.i | 0.0928411 | + | 0.396242i | ||||
\(985\) | −252840. | + | 378401.i | −0.260599 | + | 0.390014i | ||||
\(986\) | 573098. | + | 187366.i | 0.589488 | + | 0.192725i | ||||
\(987\) | −65266.9 | + | 34885.9i | −0.0669975 | + | 0.0358109i | ||||
\(988\) | 2.34486e6 | − | 362634.i | 2.40217 | − | 0.371497i | ||||
\(989\) | −73447.5 | − | 7233.94i | −0.0750904 | − | 0.00739575i | ||||
\(990\) | −120441. | − | 26655.6i | −0.122886 | − | 0.0271969i | ||||
\(991\) | 716947. | − | 716947.i | 0.730028 | − | 0.730028i | −0.240597 | − | 0.970625i | \(-0.577343\pi\) |
0.970625 | + | 0.240597i | \(0.0773433\pi\) | |||||||
\(992\) | −1.51798e6 | + | 135554.i | −1.54256 | + | 0.137749i | ||||
\(993\) | −422021. | + | 422021.i | −0.427992 | + | 0.427992i | ||||
\(994\) | 101181. | + | 158696.i | 0.102406 | + | 0.160618i | ||||
\(995\) | −1.25401e6 | − | 123510.i | −1.26665 | − | 0.124754i | ||||
\(996\) | 207756. | − | 126274.i | 0.209428 | − | 0.127290i | ||||
\(997\) | 676822. | − | 361769.i | 0.680901 | − | 0.363949i | −0.0944058 | − | 0.995534i | \(-0.530095\pi\) |
0.775307 | + | 0.631585i | \(0.217595\pi\) | |||||||
\(998\) | 1.24917e6 | − | 633617.i | 1.25418 | − | 0.636159i | ||||
\(999\) | 4725.59 | − | 7072.34i | 0.00473505 | − | 0.00708651i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 128.5.l.a.3.3 | ✓ | 1008 | |
128.43 | odd | 32 | inner | 128.5.l.a.43.3 | yes | 1008 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.5.l.a.3.3 | ✓ | 1008 | 1.1 | even | 1 | trivial | |
128.5.l.a.43.3 | yes | 1008 | 128.43 | odd | 32 | inner |