Newspace parameters
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.f (of order \(4\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(1.65391940934\) |
Analytic rank: | \(0\) |
Dimension: | \(14\) |
Relative dimension: | \(7\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
Defining polynomial: | \(x^{14} - 4 x^{13} + 15 x^{12} - 34 x^{11} + 62 x^{10} - 312 x^{9} + 1432 x^{8} - 4960 x^{7} + 11456 x^{6} - 19968 x^{5} + 31744 x^{4} - 139264 x^{3} + 491520 x^{2} - 1048576 x + 2097152\) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 2^{21} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Root | \(0.336831 - 2.80830i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 16.11 |
Dual form | 16.5.f.a.3.6 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.47147 | − | 3.14513i | 0.617867 | − | 0.786282i | ||||
\(3\) | −7.86839 | − | 7.86839i | −0.874266 | − | 0.874266i | 0.118668 | − | 0.992934i | \(-0.462138\pi\) |
−0.992934 | + | 0.118668i | \(0.962138\pi\) | |||||||
\(4\) | −3.78368 | − | 15.5462i | −0.236480 | − | 0.971636i | ||||
\(5\) | 27.2309 | + | 27.2309i | 1.08924 | + | 1.08924i | 0.995607 | + | 0.0936308i | \(0.0298473\pi\) |
0.0936308 | + | 0.995607i | \(0.470153\pi\) | |||||||
\(6\) | −44.1936 | + | 5.30063i | −1.22760 | + | 0.147240i | ||||
\(7\) | 50.3097 | 1.02673 | 0.513365 | − | 0.858171i | \(-0.328399\pi\) | ||||
0.513365 | + | 0.858171i | \(0.328399\pi\) | |||||||
\(8\) | −58.2460 | − | 26.5217i | −0.910094 | − | 0.414402i | ||||
\(9\) | 42.8233i | 0.528682i | ||||||||
\(10\) | 152.945 | − | 18.3444i | 1.52945 | − | 0.183444i | ||||
\(11\) | −53.1047 | + | 53.1047i | −0.438881 | + | 0.438881i | −0.891635 | − | 0.452754i | \(-0.850442\pi\) |
0.452754 | + | 0.891635i | \(0.350442\pi\) | |||||||
\(12\) | −92.5520 | + | 152.095i | −0.642722 | + | 1.05622i | ||||
\(13\) | −125.128 | + | 125.128i | −0.740404 | + | 0.740404i | −0.972656 | − | 0.232252i | \(-0.925391\pi\) |
0.232252 | + | 0.972656i | \(0.425391\pi\) | |||||||
\(14\) | 124.339 | − | 158.231i | 0.634382 | − | 0.807299i | ||||
\(15\) | − | 428.528i | − | 1.90457i | ||||||
\(16\) | −227.367 | + | 117.644i | −0.888154 | + | 0.459546i | ||||
\(17\) | 286.271 | 0.990557 | 0.495279 | − | 0.868734i | \(-0.335066\pi\) | ||||
0.495279 | + | 0.868734i | \(0.335066\pi\) | |||||||
\(18\) | 134.685 | + | 105.836i | 0.415694 | + | 0.326655i | ||||
\(19\) | −99.5010 | − | 99.5010i | −0.275626 | − | 0.275626i | 0.555734 | − | 0.831360i | \(-0.312437\pi\) |
−0.831360 | + | 0.555734i | \(0.812437\pi\) | |||||||
\(20\) | 320.304 | − | 526.370i | 0.800760 | − | 1.31593i | ||||
\(21\) | −395.857 | − | 395.857i | −0.897635 | − | 0.897635i | ||||
\(22\) | 35.7745 | + | 298.268i | 0.0739143 | + | 0.616255i | ||||
\(23\) | −100.505 | −0.189991 | −0.0949957 | − | 0.995478i | \(-0.530284\pi\) | ||||
−0.0949957 | + | 0.995478i | \(0.530284\pi\) | |||||||
\(24\) | 249.619 | + | 666.986i | 0.433367 | + | 1.15796i | ||||
\(25\) | 858.049i | 1.37288i | ||||||||
\(26\) | 84.2940 | + | 702.795i | 0.124695 | + | 1.03964i | ||||
\(27\) | −300.390 | + | 300.390i | −0.412057 | + | 0.412057i | ||||
\(28\) | −190.356 | − | 782.124i | −0.242801 | − | 0.997607i | ||||
\(29\) | 343.872 | − | 343.872i | 0.408885 | − | 0.408885i | −0.472465 | − | 0.881350i | \(-0.656636\pi\) |
0.881350 | + | 0.472465i | \(0.156636\pi\) | |||||||
\(30\) | −1347.78 | − | 1059.09i | −1.49753 | − | 1.17677i | ||||
\(31\) | 208.400i | 0.216858i | 0.994104 | + | 0.108429i | \(0.0345820\pi\) | ||||
−0.994104 | + | 0.108429i | \(0.965418\pi\) | |||||||
\(32\) | −191.927 | + | 1005.85i | −0.187429 | + | 0.982278i | ||||
\(33\) | 835.697 | 0.767398 | ||||||||
\(34\) | 707.510 | − | 900.360i | 0.612033 | − | 0.778858i | ||||
\(35\) | 1369.98 | + | 1369.98i | 1.11835 | + | 1.11835i | ||||
\(36\) | 665.738 | − | 162.030i | 0.513687 | − | 0.125023i | ||||
\(37\) | −1159.47 | − | 1159.47i | −0.846946 | − | 0.846946i | 0.142805 | − | 0.989751i | \(-0.454388\pi\) |
−0.989751 | + | 0.142805i | \(0.954388\pi\) | |||||||
\(38\) | −558.857 | + | 67.0299i | −0.387020 | + | 0.0464196i | ||||
\(39\) | 1969.12 | 1.29462 | ||||||||
\(40\) | −863.882 | − | 2308.31i | −0.539927 | − | 1.44269i | ||||
\(41\) | − | 2335.63i | − | 1.38943i | −0.719286 | − | 0.694714i | \(-0.755531\pi\) | ||
0.719286 | − | 0.694714i | \(-0.244469\pi\) | |||||||
\(42\) | −2223.37 | + | 266.673i | −1.26041 | + | 0.151175i | ||||
\(43\) | −2079.41 | + | 2079.41i | −1.12461 | + | 1.12461i | −0.133575 | + | 0.991039i | \(0.542646\pi\) |
−0.991039 | + | 0.133575i | \(0.957354\pi\) | |||||||
\(44\) | 1026.51 | + | 624.643i | 0.530220 | + | 0.322646i | ||||
\(45\) | −1166.12 | + | 1166.12i | −0.575861 | + | 0.575861i | ||||
\(46\) | −248.396 | + | 316.103i | −0.117389 | + | 0.149387i | ||||
\(47\) | − | 1054.04i | − | 0.477159i | −0.971123 | − | 0.238580i | \(-0.923318\pi\) | ||
0.971123 | − | 0.238580i | \(-0.0766818\pi\) | |||||||
\(48\) | 2714.68 | + | 863.350i | 1.17825 | + | 0.374718i | ||||
\(49\) | 130.069 | 0.0541728 | ||||||||
\(50\) | 2698.67 | + | 2120.64i | 1.07947 | + | 0.848256i | ||||
\(51\) | −2252.49 | − | 2252.49i | −0.866011 | − | 0.866011i | ||||
\(52\) | 2418.71 | + | 1471.82i | 0.894494 | + | 0.544312i | ||||
\(53\) | 2136.46 | + | 2136.46i | 0.760576 | + | 0.760576i | 0.976426 | − | 0.215850i | \(-0.0692523\pi\) |
−0.215850 | + | 0.976426i | \(0.569252\pi\) | |||||||
\(54\) | 202.361 | + | 1687.17i | 0.0693967 | + | 0.578590i | ||||
\(55\) | −2892.18 | −0.956092 | ||||||||
\(56\) | −2930.34 | − | 1334.30i | −0.934420 | − | 0.425479i | ||||
\(57\) | 1565.83i | 0.481941i | ||||||||
\(58\) | −231.653 | − | 1931.39i | −0.0688625 | − | 0.574136i | ||||
\(59\) | 3721.44 | − | 3721.44i | 1.06907 | − | 1.06907i | 0.0716407 | − | 0.997431i | \(-0.477177\pi\) |
0.997431 | − | 0.0716407i | \(-0.0228235\pi\) | |||||||
\(60\) | −6661.97 | + | 1621.41i | −1.85055 | + | 0.450393i | ||||
\(61\) | 2496.46 | − | 2496.46i | 0.670912 | − | 0.670912i | −0.287014 | − | 0.957926i | \(-0.592663\pi\) |
0.957926 | + | 0.287014i | \(0.0926628\pi\) | |||||||
\(62\) | 655.446 | + | 515.055i | 0.170512 | + | 0.133989i | ||||
\(63\) | 2154.43i | 0.542814i | ||||||||
\(64\) | 2689.20 | + | 3089.57i | 0.656542 | + | 0.754289i | ||||
\(65\) | −6814.72 | −1.61295 | ||||||||
\(66\) | 2065.40 | − | 2628.37i | 0.474150 | − | 0.603392i | ||||
\(67\) | −329.116 | − | 329.116i | −0.0733162 | − | 0.0733162i | 0.669498 | − | 0.742814i | \(-0.266509\pi\) |
−0.742814 | + | 0.669498i | \(0.766509\pi\) | |||||||
\(68\) | −1083.16 | − | 4450.42i | −0.234247 | − | 0.962461i | ||||
\(69\) | 790.817 | + | 790.817i | 0.166103 | + | 0.166103i | ||||
\(70\) | 7694.64 | − | 922.903i | 1.57033 | − | 0.188348i | ||||
\(71\) | −1040.71 | −0.206449 | −0.103225 | − | 0.994658i | \(-0.532916\pi\) | ||||
−0.103225 | + | 0.994658i | \(0.532916\pi\) | |||||||
\(72\) | 1135.75 | − | 2494.28i | 0.219087 | − | 0.481151i | ||||
\(73\) | 2673.24i | 0.501639i | 0.968034 | + | 0.250820i | \(0.0807001\pi\) | ||||
−0.968034 | + | 0.250820i | \(0.919300\pi\) | |||||||
\(74\) | −6512.27 | + | 781.089i | −1.18924 | + | 0.142639i | ||||
\(75\) | 6751.46 | − | 6751.46i | 1.20026 | − | 1.20026i | ||||
\(76\) | −1170.38 | + | 1923.34i | −0.202628 | + | 0.332988i | ||||
\(77\) | −2671.68 | + | 2671.68i | −0.450612 | + | 0.450612i | ||||
\(78\) | 4866.61 | − | 6193.13i | 0.799903 | − | 1.01794i | ||||
\(79\) | 4475.80i | 0.717161i | 0.933499 | + | 0.358580i | \(0.116739\pi\) | ||||
−0.933499 | + | 0.358580i | \(0.883261\pi\) | |||||||
\(80\) | −9394.98 | − | 2987.88i | −1.46797 | − | 0.466857i | ||||
\(81\) | 8195.85 | 1.24918 | ||||||||
\(82\) | −7345.86 | − | 5772.43i | −1.09248 | − | 0.858482i | ||||
\(83\) | 1457.69 | + | 1457.69i | 0.211597 | + | 0.211597i | 0.804945 | − | 0.593349i | \(-0.202195\pi\) |
−0.593349 | + | 0.804945i | \(0.702195\pi\) | |||||||
\(84\) | −4656.26 | + | 7651.86i | −0.659901 | + | 1.08445i | ||||
\(85\) | 7795.43 | + | 7795.43i | 1.07895 | + | 1.07895i | ||||
\(86\) | 1400.82 | + | 11679.2i | 0.189402 | + | 1.57913i | ||||
\(87\) | −5411.44 | −0.714948 | ||||||||
\(88\) | 4501.56 | − | 1684.71i | 0.581297 | − | 0.217550i | ||||
\(89\) | − | 1146.97i | − | 0.144801i | −0.997376 | − | 0.0724003i | \(-0.976934\pi\) | ||
0.997376 | − | 0.0724003i | \(-0.0230659\pi\) | |||||||
\(90\) | 785.568 | + | 6549.62i | 0.0969838 | + | 0.808595i | ||||
\(91\) | −6295.17 | + | 6295.17i | −0.760194 | + | 0.760194i | ||||
\(92\) | 380.281 | + | 1562.48i | 0.0449292 | + | 0.184603i | ||||
\(93\) | 1639.78 | − | 1639.78i | 0.189592 | − | 0.189592i | ||||
\(94\) | −3315.11 | − | 2605.04i | −0.375182 | − | 0.294821i | ||||
\(95\) | − | 5419.01i | − | 0.600444i | ||||||
\(96\) | 9424.60 | − | 6404.29i | 1.02264 | − | 0.694910i | ||||
\(97\) | −13101.5 | −1.39244 | −0.696222 | − | 0.717826i | \(-0.745137\pi\) | ||||
−0.696222 | + | 0.717826i | \(0.745137\pi\) | |||||||
\(98\) | 321.461 | − | 409.084i | 0.0334716 | − | 0.0425952i | ||||
\(99\) | −2274.11 | − | 2274.11i | −0.232029 | − | 0.232029i | ||||
\(100\) | 13339.4 | − | 3246.59i | 1.33394 | − | 0.324659i | ||||
\(101\) | −7488.18 | − | 7488.18i | −0.734063 | − | 0.734063i | 0.237359 | − | 0.971422i | \(-0.423718\pi\) |
−0.971422 | + | 0.237359i | \(0.923718\pi\) | |||||||
\(102\) | −12651.4 | + | 1517.42i | −1.21601 | + | 0.145849i | ||||
\(103\) | 7141.23 | 0.673129 | 0.336565 | − | 0.941660i | \(-0.390735\pi\) | ||||
0.336565 | + | 0.941660i | \(0.390735\pi\) | |||||||
\(104\) | 10606.8 | − | 3969.60i | 0.980662 | − | 0.367012i | ||||
\(105\) | − | 21559.1i | − | 1.95547i | ||||||
\(106\) | 11999.6 | − | 1439.25i | 1.06796 | − | 0.128093i | ||||
\(107\) | 1794.26 | − | 1794.26i | 0.156718 | − | 0.156718i | −0.624393 | − | 0.781111i | \(-0.714654\pi\) |
0.781111 | + | 0.624393i | \(0.214654\pi\) | |||||||
\(108\) | 5806.49 | + | 3533.33i | 0.497813 | + | 0.302926i | ||||
\(109\) | 5362.57 | − | 5362.57i | 0.451357 | − | 0.451357i | −0.444448 | − | 0.895805i | \(-0.646600\pi\) |
0.895805 | + | 0.444448i | \(0.146600\pi\) | |||||||
\(110\) | −7147.93 | + | 9096.28i | −0.590738 | + | 0.751759i | ||||
\(111\) | 18246.3i | 1.48091i | ||||||||
\(112\) | −11438.8 | + | 5918.62i | −0.911894 | + | 0.471829i | ||||
\(113\) | −5165.40 | −0.404527 | −0.202263 | − | 0.979331i | \(-0.564830\pi\) | ||||
−0.202263 | + | 0.979331i | \(0.564830\pi\) | |||||||
\(114\) | 4924.73 | + | 3869.89i | 0.378942 | + | 0.297775i | ||||
\(115\) | −2736.86 | − | 2736.86i | −0.206946 | − | 0.206946i | ||||
\(116\) | −6647.00 | − | 4044.80i | −0.493981 | − | 0.300594i | ||||
\(117\) | −5358.40 | − | 5358.40i | −0.391438 | − | 0.391438i | ||||
\(118\) | −2506.99 | − | 20901.8i | −0.180048 | − | 1.50114i | ||||
\(119\) | 14402.2 | 1.01703 | ||||||||
\(120\) | −11365.3 | + | 24960.0i | −0.789256 | + | 1.73334i | ||||
\(121\) | 9000.79i | 0.614766i | ||||||||
\(122\) | −1681.77 | − | 14021.6i | −0.112992 | − | 0.942061i | ||||
\(123\) | −18377.6 | + | 18377.6i | −1.21473 | + | 1.21473i | ||||
\(124\) | 3239.83 | − | 788.521i | 0.210707 | − | 0.0512826i | ||||
\(125\) | −6346.13 | + | 6346.13i | −0.406152 | + | 0.406152i | ||||
\(126\) | 6775.95 | + | 5324.60i | 0.426805 | + | 0.335387i | ||||
\(127\) | − | 22886.9i | − | 1.41899i | −0.704711 | − | 0.709495i | \(-0.748923\pi\) | ||
0.704711 | − | 0.709495i | \(-0.251077\pi\) | |||||||
\(128\) | 16363.4 | − | 822.099i | 0.998740 | − | 0.0501770i | ||||
\(129\) | 32723.3 | 1.96642 | ||||||||
\(130\) | −16842.4 | + | 21433.2i | −0.996590 | + | 1.26824i | ||||
\(131\) | 19202.2 | + | 19202.2i | 1.11894 | + | 1.11894i | 0.991897 | + | 0.127048i | \(0.0405502\pi\) |
0.127048 | + | 0.991897i | \(0.459450\pi\) | |||||||
\(132\) | −3162.01 | − | 12991.9i | −0.181475 | − | 0.745632i | ||||
\(133\) | −5005.87 | − | 5005.87i | −0.282993 | − | 0.282993i | ||||
\(134\) | −1848.51 | + | 221.713i | −0.102947 | + | 0.0123476i | ||||
\(135\) | −16359.8 | −0.897656 | ||||||||
\(136\) | −16674.1 | − | 7592.40i | −0.901500 | − | 0.410489i | ||||
\(137\) | 33680.5i | 1.79448i | 0.441547 | + | 0.897238i | \(0.354430\pi\) | ||||
−0.441547 | + | 0.897238i | \(0.645570\pi\) | |||||||
\(138\) | 4441.70 | − | 532.742i | 0.233234 | − | 0.0279743i | ||||
\(139\) | 11747.9 | − | 11747.9i | 0.608036 | − | 0.608036i | −0.334397 | − | 0.942432i | \(-0.608532\pi\) |
0.942432 | + | 0.334397i | \(0.108532\pi\) | |||||||
\(140\) | 16114.4 | − | 26481.6i | 0.822163 | − | 1.35110i | ||||
\(141\) | −8293.64 | + | 8293.64i | −0.417164 | + | 0.417164i | ||||
\(142\) | −2572.09 | + | 3273.17i | −0.127558 | + | 0.162328i | ||||
\(143\) | − | 13289.8i | − | 0.649899i | ||||||
\(144\) | −5037.89 | − | 9736.62i | −0.242954 | − | 0.469551i | ||||
\(145\) | 18727.9 | 0.890746 | ||||||||
\(146\) | 8407.68 | + | 6606.82i | 0.394430 | + | 0.309947i | ||||
\(147\) | −1023.43 | − | 1023.43i | −0.0473615 | − | 0.0473615i | ||||
\(148\) | −13638.2 | + | 22412.4i | −0.622637 | + | 1.02321i | ||||
\(149\) | −14877.7 | − | 14877.7i | −0.670136 | − | 0.670136i | 0.287611 | − | 0.957747i | \(-0.407139\pi\) |
−0.957747 | + | 0.287611i | \(0.907139\pi\) | |||||||
\(150\) | −4548.20 | − | 37920.3i | −0.202142 | − | 1.68535i | ||||
\(151\) | −8005.74 | −0.351114 | −0.175557 | − | 0.984469i | \(-0.556173\pi\) | ||||
−0.175557 | + | 0.984469i | \(0.556173\pi\) | |||||||
\(152\) | 3156.60 | + | 8434.47i | 0.136626 | + | 0.365065i | ||||
\(153\) | 12259.1i | 0.523690i | ||||||||
\(154\) | 1799.81 | + | 15005.8i | 0.0758900 | + | 0.632727i | ||||
\(155\) | −5674.94 | + | 5674.94i | −0.236210 | + | 0.236210i | ||||
\(156\) | −7450.51 | − | 30612.2i | −0.306152 | − | 1.25790i | ||||
\(157\) | 12150.9 | − | 12150.9i | 0.492958 | − | 0.492958i | −0.416279 | − | 0.909237i | \(-0.636666\pi\) |
0.909237 | + | 0.416279i | \(0.136666\pi\) | |||||||
\(158\) | 14077.0 | + | 11061.8i | 0.563891 | + | 0.443110i | ||||
\(159\) | − | 33621.0i | − | 1.32989i | ||||||
\(160\) | −32616.7 | + | 22164.0i | −1.27409 | + | 0.865780i | ||||
\(161\) | −5056.40 | −0.195070 | ||||||||
\(162\) | 20255.8 | − | 25777.0i | 0.771826 | − | 0.982206i | ||||
\(163\) | −23646.5 | − | 23646.5i | −0.890002 | − | 0.890002i | 0.104520 | − | 0.994523i | \(-0.466669\pi\) |
−0.994523 | + | 0.104520i | \(0.966669\pi\) | |||||||
\(164\) | −36310.1 | + | 8837.28i | −1.35002 | + | 0.328572i | ||||
\(165\) | 22756.8 | + | 22756.8i | 0.835879 | + | 0.835879i | ||||
\(166\) | 8187.26 | − | 981.989i | 0.297113 | − | 0.0356361i | ||||
\(167\) | 42493.7 | 1.52367 | 0.761836 | − | 0.647770i | \(-0.224298\pi\) | ||||
0.761836 | + | 0.647770i | \(0.224298\pi\) | |||||||
\(168\) | 12558.3 | + | 33555.9i | 0.444950 | + | 1.18891i | ||||
\(169\) | − | 2753.14i | − | 0.0963950i | ||||||
\(170\) | 43783.8 | − | 5251.48i | 1.51501 | − | 0.181712i | ||||
\(171\) | 4260.96 | − | 4260.96i | 0.145719 | − | 0.145719i | ||||
\(172\) | 40194.7 | + | 24459.1i | 1.35866 | + | 0.826767i | ||||
\(173\) | −16142.1 | + | 16142.1i | −0.539347 | + | 0.539347i | −0.923337 | − | 0.383990i | \(-0.874550\pi\) |
0.383990 | + | 0.923337i | \(0.374550\pi\) | |||||||
\(174\) | −13374.2 | + | 17019.7i | −0.441743 | + | 0.562151i | ||||
\(175\) | 43168.2i | 1.40957i | ||||||||
\(176\) | 5826.84 | − | 18321.7i | 0.188108 | − | 0.591480i | ||||
\(177\) | −58563.5 | −1.86931 | ||||||||
\(178\) | −3607.36 | − | 2834.69i | −0.113854 | − | 0.0894676i | ||||
\(179\) | −22442.0 | − | 22442.0i | −0.700415 | − | 0.700415i | 0.264084 | − | 0.964500i | \(-0.414930\pi\) |
−0.964500 | + | 0.264084i | \(0.914930\pi\) | |||||||
\(180\) | 22540.9 | + | 13716.5i | 0.695707 | + | 0.423347i | ||||
\(181\) | −9891.06 | − | 9891.06i | −0.301916 | − | 0.301916i | 0.539847 | − | 0.841763i | \(-0.318482\pi\) |
−0.841763 | + | 0.539847i | \(0.818482\pi\) | |||||||
\(182\) | 4240.81 | + | 35357.4i | 0.128028 | + | 1.06743i | ||||
\(183\) | −39286.3 | −1.17311 | ||||||||
\(184\) | 5854.04 | + | 2665.58i | 0.172910 | + | 0.0787328i | ||||
\(185\) | − | 63146.9i | − | 1.84505i | ||||||
\(186\) | −1104.65 | − | 9209.97i | −0.0319301 | − | 0.266215i | ||||
\(187\) | −15202.3 | + | 15202.3i | −0.434737 | + | 0.434737i | ||||
\(188\) | −16386.4 | + | 3988.17i | −0.463625 | + | 0.112839i | ||||
\(189\) | −15112.5 | + | 15112.5i | −0.423071 | + | 0.423071i | ||||
\(190\) | −17043.5 | − | 13392.9i | −0.472119 | − | 0.370995i | ||||
\(191\) | 2033.60i | 0.0557442i | 0.999611 | + | 0.0278721i | \(0.00887311\pi\) | ||||
−0.999611 | + | 0.0278721i | \(0.991127\pi\) | |||||||
\(192\) | 3150.29 | − | 45469.6i | 0.0854570 | − | 1.23344i | ||||
\(193\) | 29257.4 | 0.785453 | 0.392727 | − | 0.919655i | \(-0.371532\pi\) | ||||
0.392727 | + | 0.919655i | \(0.371532\pi\) | |||||||
\(194\) | −32380.0 | + | 41206.0i | −0.860346 | + | 1.09486i | ||||
\(195\) | 53620.9 | + | 53620.9i | 1.41015 | + | 1.41015i | ||||
\(196\) | −492.140 | − | 2022.08i | −0.0128108 | − | 0.0526363i | ||||
\(197\) | 28194.9 | + | 28194.9i | 0.726504 | + | 0.726504i | 0.969922 | − | 0.243417i | \(-0.0782684\pi\) |
−0.243417 | + | 0.969922i | \(0.578268\pi\) | |||||||
\(198\) | −12772.8 | + | 1531.98i | −0.325803 | + | 0.0390772i | ||||
\(199\) | 54100.9 | 1.36615 | 0.683075 | − | 0.730348i | \(-0.260642\pi\) | ||||
0.683075 | + | 0.730348i | \(0.260642\pi\) | |||||||
\(200\) | 22756.9 | − | 49977.9i | 0.568923 | − | 1.24945i | ||||
\(201\) | 5179.24i | 0.128196i | ||||||||
\(202\) | −42058.1 | + | 5044.49i | −1.03073 | + | 0.123627i | ||||
\(203\) | 17300.1 | − | 17300.1i | 0.419814 | − | 0.419814i | ||||
\(204\) | −26494.9 | + | 43540.4i | −0.636653 | + | 1.04624i | ||||
\(205\) | 63601.4 | − | 63601.4i | 1.51342 | − | 1.51342i | ||||
\(206\) | 17649.3 | − | 22460.1i | 0.415905 | − | 0.529270i | ||||
\(207\) | − | 4303.97i | − | 0.100445i | ||||||
\(208\) | 13729.5 | − | 43170.6i | 0.317343 | − | 0.997842i | ||||
\(209\) | 10567.9 | 0.241934 | ||||||||
\(210\) | −67806.2 | − | 53282.7i | −1.53756 | − | 1.20822i | ||||
\(211\) | −31994.1 | − | 31994.1i | −0.718630 | − | 0.718630i | 0.249694 | − | 0.968325i | \(-0.419670\pi\) |
−0.968325 | + | 0.249694i | \(0.919670\pi\) | |||||||
\(212\) | 25130.1 | − | 41297.5i | 0.559142 | − | 0.918865i | ||||
\(213\) | 8188.73 | + | 8188.73i | 0.180492 | + | 0.180492i | ||||
\(214\) | −1208.72 | − | 10077.6i | −0.0263937 | − | 0.220055i | ||||
\(215\) | −113249. | −2.44994 | ||||||||
\(216\) | 25463.3 | − | 9529.65i | 0.545768 | − | 0.204253i | ||||
\(217\) | 10484.6i | 0.222654i | ||||||||
\(218\) | −3612.56 | − | 30119.4i | −0.0760155 | − | 0.633773i | ||||
\(219\) | 21034.1 | − | 21034.1i | 0.438566 | − | 0.438566i | ||||
\(220\) | 10943.1 | + | 44962.3i | 0.226097 | + | 0.928974i | ||||
\(221\) | −35820.6 | + | 35820.6i | −0.733412 | + | 0.733412i | ||||
\(222\) | 57387.0 | + | 45095.2i | 1.16442 | + | 0.915007i | ||||
\(223\) | 94185.8i | 1.89398i | 0.321261 | + | 0.946991i | \(0.395893\pi\) | ||||
−0.321261 | + | 0.946991i | \(0.604107\pi\) | |||||||
\(224\) | −9655.79 | + | 50604.2i | −0.192438 | + | 1.00853i | ||||
\(225\) | −36744.4 | −0.725816 | ||||||||
\(226\) | −12766.1 | + | 16245.9i | −0.249944 | + | 0.318072i | ||||
\(227\) | 62683.9 | + | 62683.9i | 1.21648 | + | 1.21648i | 0.968857 | + | 0.247622i | \(0.0796490\pi\) |
0.247622 | + | 0.968857i | \(0.420351\pi\) | |||||||
\(228\) | 24342.6 | − | 5924.59i | 0.468271 | − | 0.113969i | ||||
\(229\) | −19781.9 | − | 19781.9i | −0.377221 | − | 0.377221i | 0.492877 | − | 0.870099i | \(-0.335945\pi\) |
−0.870099 | + | 0.492877i | \(0.835945\pi\) | |||||||
\(230\) | −15371.8 | + | 1843.72i | −0.290583 | + | 0.0348528i | ||||
\(231\) | 42043.7 | 0.787910 | ||||||||
\(232\) | −29149.3 | + | 10909.1i | −0.541566 | + | 0.202681i | ||||
\(233\) | − | 25062.1i | − | 0.461642i | −0.972996 | − | 0.230821i | \(-0.925859\pi\) | ||
0.972996 | − | 0.230821i | \(-0.0741412\pi\) | |||||||
\(234\) | −30096.0 | + | 3609.75i | −0.549638 | + | 0.0659242i | ||||
\(235\) | 28702.6 | − | 28702.6i | 0.519740 | − | 0.519740i | ||||
\(236\) | −71934.9 | − | 43773.4i | −1.29156 | − | 0.785934i | ||||
\(237\) | 35217.4 | − | 35217.4i | 0.626989 | − | 0.626989i | ||||
\(238\) | 35594.6 | − | 45296.9i | 0.628392 | − | 0.799676i | ||||
\(239\) | 93041.8i | 1.62885i | 0.580265 | + | 0.814427i | \(0.302949\pi\) | ||||
−0.580265 | + | 0.814427i | \(0.697051\pi\) | |||||||
\(240\) | 50413.6 | + | 97433.2i | 0.875236 | + | 1.69155i | ||||
\(241\) | −80981.9 | −1.39429 | −0.697146 | − | 0.716929i | \(-0.745547\pi\) | ||||
−0.697146 | + | 0.716929i | \(0.745547\pi\) | |||||||
\(242\) | 28308.7 | + | 22245.2i | 0.483380 | + | 0.379844i | ||||
\(243\) | −40156.6 | − | 40156.6i | −0.680056 | − | 0.680056i | ||||
\(244\) | −48256.3 | − | 29364.6i | −0.810540 | − | 0.493225i | ||||
\(245\) | 3541.90 | + | 3541.90i | 0.0590071 | + | 0.0590071i | ||||
\(246\) | 12380.3 | + | 103220.i | 0.204579 | + | 1.70566i | ||||
\(247\) | 24900.8 | 0.408149 | ||||||||
\(248\) | 5527.14 | − | 12138.5i | 0.0898663 | − | 0.197361i | ||||
\(249\) | − | 22939.3i | − | 0.369984i | ||||||
\(250\) | 4275.14 | + | 35643.7i | 0.0684023 | + | 0.570299i | ||||
\(251\) | 25910.0 | − | 25910.0i | 0.411264 | − | 0.411264i | −0.470915 | − | 0.882179i | \(-0.656076\pi\) |
0.882179 | + | 0.470915i | \(0.156076\pi\) | |||||||
\(252\) | 33493.1 | − | 8151.67i | 0.527417 | − | 0.128365i | ||||
\(253\) | 5337.31 | − | 5337.31i | 0.0833837 | − | 0.0833837i | ||||
\(254\) | −71982.2 | − | 56564.2i | −1.11573 | − | 0.876747i | ||||
\(255\) | − | 122675.i | − | 1.88658i | ||||||
\(256\) | 37855.9 | − | 53496.7i | 0.577636 | − | 0.816295i | ||||
\(257\) | 15800.6 | 0.239225 | 0.119613 | − | 0.992821i | \(-0.461835\pi\) | ||||
0.119613 | + | 0.992821i | \(0.461835\pi\) | |||||||
\(258\) | 80874.5 | − | 102919.i | 1.21499 | − | 1.54616i | ||||
\(259\) | −58332.6 | − | 58332.6i | −0.869584 | − | 0.869584i | ||||
\(260\) | 25784.7 | + | 105943.i | 0.381431 | + | 1.56720i | ||||
\(261\) | 14725.7 | + | 14725.7i | 0.216170 | + | 0.216170i | ||||
\(262\) | 107851. | − | 12935.8i | 1.57117 | − | 0.188447i | ||||
\(263\) | −82043.7 | −1.18613 | −0.593067 | − | 0.805153i | \(-0.702083\pi\) | ||||
−0.593067 | + | 0.805153i | \(0.702083\pi\) | |||||||
\(264\) | −48676.0 | − | 22164.1i | −0.698405 | − | 0.318011i | ||||
\(265\) | 116356.i | 1.65690i | ||||||||
\(266\) | −28115.9 | + | 3372.26i | −0.397365 | + | 0.0476604i | ||||
\(267\) | −9024.78 | + | 9024.78i | −0.126594 | + | 0.126594i | ||||
\(268\) | −3871.23 | + | 6361.78i | −0.0538988 | + | 0.0885745i | ||||
\(269\) | −30820.2 | + | 30820.2i | −0.425923 | + | 0.425923i | −0.887237 | − | 0.461314i | \(-0.847378\pi\) |
0.461314 | + | 0.887237i | \(0.347378\pi\) | |||||||
\(270\) | −40432.7 | + | 51453.6i | −0.554632 | + | 0.705811i | ||||
\(271\) | − | 110808.i | − | 1.50880i | −0.656412 | − | 0.754402i | \(-0.727927\pi\) | ||
0.656412 | − | 0.754402i | \(-0.272073\pi\) | |||||||
\(272\) | −65088.7 | + | 33678.0i | −0.879768 | + | 0.455206i | ||||
\(273\) | 99065.7 | 1.32922 | ||||||||
\(274\) | 105930. | + | 83240.4i | 1.41097 | + | 1.10875i | ||||
\(275\) | −45566.4 | − | 45566.4i | −0.602531 | − | 0.602531i | ||||
\(276\) | 9301.98 | − | 15286.4i | 0.122112 | − | 0.200672i | ||||
\(277\) | 25634.0 | + | 25634.0i | 0.334084 | + | 0.334084i | 0.854135 | − | 0.520051i | \(-0.174087\pi\) |
−0.520051 | + | 0.854135i | \(0.674087\pi\) | |||||||
\(278\) | −7914.08 | − | 65983.0i | −0.102403 | − | 0.853773i | ||||
\(279\) | −8924.39 | −0.114649 | ||||||||
\(280\) | −43461.7 | − | 116130.i | −0.554358 | − | 1.48125i | ||||
\(281\) | − | 48800.5i | − | 0.618033i | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||
0.951057 | − | 0.309017i | \(-0.0999999\pi\) | |||||||
\(282\) | 5587.10 | + | 46582.0i | 0.0702568 | + | 0.585761i | ||||
\(283\) | −111466. | + | 111466.i | −1.39178 | + | 1.39178i | −0.570439 | + | 0.821340i | \(0.693227\pi\) |
−0.821340 | + | 0.570439i | \(0.806773\pi\) | |||||||
\(284\) | 3937.72 | + | 16179.1i | 0.0488212 | + | 0.200594i | ||||
\(285\) | −42638.9 | + | 42638.9i | −0.524948 | + | 0.524948i | ||||
\(286\) | −41798.1 | − | 32845.3i | −0.511004 | − | 0.401551i | ||||
\(287\) | − | 117505.i | − | 1.42657i | ||||||
\(288\) | −43073.9 | − | 8218.94i | −0.519313 | − | 0.0990902i | ||||
\(289\) | −1569.88 | −0.0187963 | ||||||||
\(290\) | 46285.5 | − | 58901.8i | 0.550363 | − | 0.700378i | ||||
\(291\) | 103088. | + | 103088.i | 1.21737 | + | 1.21737i | ||||
\(292\) | 41558.6 | − | 10114.7i | 0.487411 | − | 0.118628i | ||||
\(293\) | 13093.1 | + | 13093.1i | 0.152514 | + | 0.152514i | 0.779240 | − | 0.626726i | \(-0.215605\pi\) |
−0.626726 | + | 0.779240i | \(0.715605\pi\) | |||||||
\(294\) | −5748.22 | + | 689.448i | −0.0665026 | + | 0.00797640i | ||||
\(295\) | 202676. | 2.32895 | ||||||||
\(296\) | 36783.3 | + | 98285.6i | 0.419824 | + | 1.12178i | ||||
\(297\) | − | 31904.2i | − | 0.361688i | ||||||
\(298\) | −83562.0 | + | 10022.5i | −0.940971 | + | 0.112861i | ||||
\(299\) | 12576.1 | − | 12576.1i | 0.140670 | − | 0.140670i | ||||
\(300\) | −130505. | − | 79414.1i | −1.45005 | − | 0.882379i | ||||
\(301\) | −104615. | + | 104615.i | −1.15467 | + | 1.15467i | ||||
\(302\) | −19785.9 | + | 25179.1i | −0.216942 | + | 0.276075i | ||||
\(303\) | 117840.i | 1.28353i | ||||||||
\(304\) | 34328.9 | + | 10917.6i | 0.371461 | + | 0.118136i | ||||
\(305\) | 135962. | 1.46156 | ||||||||
\(306\) | 38556.3 | + | 30297.9i | 0.411768 | + | 0.323571i | ||||
\(307\) | 25274.9 | + | 25274.9i | 0.268171 | + | 0.268171i | 0.828363 | − | 0.560192i | \(-0.189273\pi\) |
−0.560192 | + | 0.828363i | \(0.689273\pi\) | |||||||
\(308\) | 51643.2 | + | 31425.6i | 0.544392 | + | 0.331270i | ||||
\(309\) | −56190.0 | − | 56190.0i | −0.588494 | − | 0.588494i | ||||
\(310\) | 3822.99 | + | 31873.9i | 0.0397813 | + | 0.331674i | ||||
\(311\) | 53808.0 | 0.556322 | 0.278161 | − | 0.960534i | \(-0.410275\pi\) | ||||
0.278161 | + | 0.960534i | \(0.410275\pi\) | |||||||
\(312\) | −114693. | − | 52224.4i | −1.17823 | − | 0.536493i | ||||
\(313\) | 137345.i | 1.40192i | 0.713199 | + | 0.700961i | \(0.247245\pi\) | ||||
−0.713199 | + | 0.700961i | \(0.752755\pi\) | |||||||
\(314\) | −8185.60 | − | 68246.8i | −0.0830217 | − | 0.692187i | ||||
\(315\) | −58667.1 | + | 58667.1i | −0.591253 | + | 0.591253i | ||||
\(316\) | 69581.6 | − | 16935.0i | 0.696819 | − | 0.169594i | ||||
\(317\) | 115546. | − | 115546.i | 1.14984 | − | 1.14984i | 0.163252 | − | 0.986584i | \(-0.447802\pi\) |
0.986584 | − | 0.163252i | \(-0.0521982\pi\) | |||||||
\(318\) | −105742. | − | 83093.3i | −1.04567 | − | 0.821697i | ||||
\(319\) | 36522.4i | 0.358904i | ||||||||
\(320\) | −10902.5 | + | 157361.i | −0.106470 | + | 1.53673i | ||||
\(321\) | −28235.9 | −0.274026 | ||||||||
\(322\) | −12496.7 | + | 15903.0i | −0.120527 | + | 0.153380i | ||||
\(323\) | −28484.2 | − | 28484.2i | −0.273023 | − | 0.273023i | ||||
\(324\) | −31010.5 | − | 127414.i | −0.295406 | − | 1.21375i | ||||
\(325\) | −107366. | − | 107366.i | −1.01648 | − | 1.01648i | ||||
\(326\) | −132813. | + | 15929.7i | −1.24970 | + | 0.149890i | ||||
\(327\) | −84389.7 | −0.789213 | ||||||||
\(328\) | −61944.9 | + | 136041.i | −0.575782 | + | 1.26451i | ||||
\(329\) | − | 53028.7i | − | 0.489913i | ||||||
\(330\) | 127816. | − | 15330.4i | 1.17370 | − | 0.140775i | ||||
\(331\) | 68009.3 | − | 68009.3i | 0.620744 | − | 0.620744i | −0.324978 | − | 0.945722i | \(-0.605357\pi\) |
0.945722 | + | 0.324978i | \(0.105357\pi\) | |||||||
\(332\) | 17146.1 | − | 28176.9i | 0.155557 | − | 0.255633i | ||||
\(333\) | 49652.2 | − | 49652.2i | 0.447765 | − | 0.447765i | ||||
\(334\) | 105022. | − | 133648.i | 0.941427 | − | 1.19804i | ||||
\(335\) | − | 17924.3i | − | 0.159718i | ||||||
\(336\) | 136575. | + | 43434.9i | 1.20974 | + | 0.384734i | ||||
\(337\) | −146703. | −1.29176 | −0.645878 | − | 0.763440i | \(-0.723509\pi\) | ||||
−0.645878 | + | 0.763440i | \(0.723509\pi\) | |||||||
\(338\) | −8658.97 | − | 6804.29i | −0.0757937 | − | 0.0595593i | ||||
\(339\) | 40643.4 | + | 40643.4i | 0.353664 | + | 0.353664i | ||||
\(340\) | 91693.7 | − | 150685.i | 0.793198 | − | 1.30350i | ||||
\(341\) | −11067.0 | − | 11067.0i | −0.0951749 | − | 0.0951749i | ||||
\(342\) | −2870.44 | − | 23932.1i | −0.0245412 | − | 0.204611i | ||||
\(343\) | −114250. | −0.971108 | ||||||||
\(344\) | 176267. | − | 65967.9i | 1.48955 | − | 0.557462i | ||||
\(345\) | 43069.4i | 0.361851i | ||||||||
\(346\) | 10874.3 | + | 90663.8i | 0.0908343 | + | 0.757324i | ||||
\(347\) | −80120.9 | + | 80120.9i | −0.665406 | + | 0.665406i | −0.956649 | − | 0.291243i | \(-0.905931\pi\) |
0.291243 | + | 0.956649i | \(0.405931\pi\) | |||||||
\(348\) | 20475.2 | + | 84127.3i | 0.169071 | + | 0.694670i | ||||
\(349\) | 100990. | − | 100990.i | 0.829143 | − | 0.829143i | −0.158255 | − | 0.987398i | \(-0.550587\pi\) |
0.987398 | + | 0.158255i | \(0.0505869\pi\) | |||||||
\(350\) | 135770. | + | 106689.i | 1.10832 | + | 0.870929i | ||||
\(351\) | − | 75174.4i | − | 0.610177i | ||||||
\(352\) | −43223.3 | − | 63607.7i | −0.348845 | − | 0.513363i | ||||
\(353\) | 129855. | 1.04210 | 0.521052 | − | 0.853525i | \(-0.325540\pi\) | ||||
0.521052 | + | 0.853525i | \(0.325540\pi\) | |||||||
\(354\) | −144738. | + | 184190.i | −1.15498 | + | 1.46980i | ||||
\(355\) | −28339.6 | − | 28339.6i | −0.224873 | − | 0.224873i | ||||
\(356\) | −17830.9 | + | 4339.76i | −0.140694 | + | 0.0342425i | ||||
\(357\) | −113322. | − | 113322.i | −0.889158 | − | 0.889158i | ||||
\(358\) | −126048. | + | 15118.3i | −0.983488 | + | 0.117961i | ||||
\(359\) | −55943.2 | −0.434068 | −0.217034 | − | 0.976164i | \(-0.569638\pi\) | ||||
−0.217034 | + | 0.976164i | \(0.569638\pi\) | |||||||
\(360\) | 98849.2 | − | 36994.3i | 0.762725 | − | 0.285450i | ||||
\(361\) | − | 110520.i | − | 0.848061i | ||||||
\(362\) | −55554.1 | + | 6663.23i | −0.423935 | + | 0.0508472i | ||||
\(363\) | 70821.8 | − | 70821.8i | 0.537469 | − | 0.537469i | ||||
\(364\) | 121685. | + | 74046.9i | 0.918403 | + | 0.558861i | ||||
\(365\) | −72794.8 | + | 72794.8i | −0.546405 | + | 0.546405i | ||||
\(366\) | −97094.9 | + | 123561.i | −0.724827 | + | 0.922397i | ||||
\(367\) | 144947.i | 1.07616i | 0.842892 | + | 0.538082i | \(0.180851\pi\) | ||||
−0.842892 | + | 0.538082i | \(0.819149\pi\) | |||||||
\(368\) | 22851.7 | − | 11823.8i | 0.168742 | − | 0.0873097i | ||||
\(369\) | 100019. | 0.734566 | ||||||||
\(370\) | −198605. | − | 156066.i | −1.45073 | − | 1.14000i | ||||
\(371\) | 107485. | + | 107485.i | 0.780906 | + | 0.780906i | ||||
\(372\) | −31696.7 | − | 19287.9i | −0.229049 | − | 0.139379i | ||||
\(373\) | 24034.7 | + | 24034.7i | 0.172751 | + | 0.172751i | 0.788187 | − | 0.615436i | \(-0.211020\pi\) |
−0.615436 | + | 0.788187i | \(0.711020\pi\) | |||||||
\(374\) | 10241.2 | + | 85385.4i | 0.0732164 | + | 0.610436i | ||||
\(375\) | 99867.8 | 0.710171 | ||||||||
\(376\) | −27955.1 | + | 61393.9i | −0.197736 | + | 0.434260i | ||||
\(377\) | 86056.2i | 0.605480i | ||||||||
\(378\) | 10180.7 | + | 84881.0i | 0.0712516 | + | 0.594055i | ||||
\(379\) | −27907.2 | + | 27907.2i | −0.194284 | + | 0.194284i | −0.797544 | − | 0.603260i | \(-0.793868\pi\) |
0.603260 | + | 0.797544i | \(0.293868\pi\) | |||||||
\(380\) | −84244.9 | + | 20503.8i | −0.583414 | + | 0.141993i | ||||
\(381\) | −180083. | + | 180083.i | −1.24057 | + | 1.24057i | ||||
\(382\) | 6395.95 | + | 5025.99i | 0.0438307 | + | 0.0344425i | ||||
\(383\) | − | 96652.7i | − | 0.658895i | −0.944174 | − | 0.329448i | \(-0.893137\pi\) | ||
0.944174 | − | 0.329448i | \(-0.106863\pi\) | |||||||
\(384\) | −135222. | − | 122285.i | −0.917033 | − | 0.829297i | ||||
\(385\) | −145505. | −0.981648 | ||||||||
\(386\) | 72308.6 | − | 92018.2i | 0.485306 | − | 0.617588i | ||||
\(387\) | −89047.2 | − | 89047.2i | −0.594564 | − | 0.594564i | ||||
\(388\) | 49572.0 | + | 203678.i | 0.329286 | + | 1.35295i | ||||
\(389\) | 133129. | + | 133129.i | 0.879777 | + | 0.879777i | 0.993511 | − | 0.113734i | \(-0.0362813\pi\) |
−0.113734 | + | 0.993511i | \(0.536281\pi\) | |||||||
\(390\) | 301167. | − | 36122.3i | 1.98006 | − | 0.237491i | ||||
\(391\) | −28771.8 | −0.188197 | ||||||||
\(392\) | −7576.00 | − | 3449.65i | −0.0493024 | − | 0.0224493i | ||||
\(393\) | − | 302181.i | − | 1.95651i | ||||||
\(394\) | 158359. | − | 18993.8i | 1.02012 | − | 0.122354i | ||||
\(395\) | −121880. | + | 121880.i | −0.781159 | + | 0.781159i | ||||
\(396\) | −26749.3 | + | 43958.3i | −0.170577 | + | 0.280318i | ||||
\(397\) | 33406.1 | − | 33406.1i | 0.211956 | − | 0.211956i | −0.593142 | − | 0.805098i | \(-0.702113\pi\) |
0.805098 | + | 0.593142i | \(0.202113\pi\) | |||||||
\(398\) | 133709. | − | 170154.i | 0.844100 | − | 1.07418i | ||||
\(399\) | 78776.3i | 0.494823i | ||||||||
\(400\) | −100944. | − | 195092.i | −0.630900 | − | 1.21933i | ||||
\(401\) | −87329.7 | −0.543092 | −0.271546 | − | 0.962425i | \(-0.587535\pi\) | ||||
−0.271546 | + | 0.962425i | \(0.587535\pi\) | |||||||
\(402\) | 16289.4 | + | 12800.3i | 0.100798 | + | 0.0792079i | ||||
\(403\) | −26076.8 | − | 26076.8i | −0.160562 | − | 0.160562i | ||||
\(404\) | −88079.6 | + | 144745.i | −0.539651 | + | 0.886834i | ||||
\(405\) | 223181. | + | 223181.i | 1.36065 | + | 1.36065i | ||||
\(406\) | −11654.4 | − | 97167.8i | −0.0707031 | − | 0.589482i | ||||
\(407\) | 123146. | 0.743418 | ||||||||
\(408\) | 71458.8 | + | 190939.i | 0.429275 | + | 1.14703i | ||||
\(409\) | 47133.9i | 0.281765i | 0.990026 | + | 0.140883i | \(0.0449940\pi\) | ||||
−0.990026 | + | 0.140883i | \(0.955006\pi\) | |||||||
\(410\) | −42845.8 | − | 357223.i | −0.254883 | − | 2.12506i | ||||
\(411\) | 265012. | − | 265012.i | 1.56885 | − | 1.56885i | ||||
\(412\) | −27020.2 | − | 111019.i | −0.159182 | − | 0.654037i | ||||
\(413\) | 187224. | − | 187224.i | 1.09765 | − | 1.09765i | ||||
\(414\) | −13536.6 | − | 10637.1i | −0.0789782 | − | 0.0620617i | ||||
\(415\) | 79388.5i | 0.460958i | ||||||||
\(416\) | −101845. | − | 149876.i | −0.588509 | − | 0.866055i | ||||
\(417\) | −184874. | −1.06317 | ||||||||
\(418\) | 26118.3 | − | 33237.5i | 0.149483 | − | 0.190229i | ||||
\(419\) | −70487.1 | − | 70487.1i | −0.401497 | − | 0.401497i | 0.477264 | − | 0.878760i | \(-0.341629\pi\) |
−0.878760 | + | 0.477264i | \(0.841629\pi\) | |||||||
\(420\) | −335162. | + | 81572.9i | −1.90001 | + | 0.462431i | ||||
\(421\) | 109929. | + | 109929.i | 0.620225 | + | 0.620225i | 0.945589 | − | 0.325364i | \(-0.105487\pi\) |
−0.325364 | + | 0.945589i | \(0.605487\pi\) | |||||||
\(422\) | −179698. | + | 21553.2i | −1.00906 | + | 0.121028i | ||||
\(423\) | 45137.6 | 0.252266 | ||||||||
\(424\) | −67777.6 | − | 181103.i | −0.377012 | − | 1.00738i | ||||
\(425\) | 245634.i | 1.35991i | ||||||||
\(426\) | 45992.8 | − | 5516.43i | 0.253437 | − | 0.0303976i | ||||
\(427\) | 125596. | − | 125596.i | 0.688845 | − | 0.688845i | ||||
\(428\) | −34682.8 | − | 21105.0i | −0.189333 | − | 0.115212i | ||||
\(429\) | −104569. | + | 104569.i | −0.568184 | + | 0.568184i | ||||
\(430\) | −279891. | + | 356182.i | −1.51374 | + | 1.92635i | ||||
\(431\) | − | 8391.44i | − | 0.0451733i | −0.999745 | − | 0.0225867i | \(-0.992810\pi\) | ||
0.999745 | − | 0.0225867i | \(-0.00719017\pi\) | |||||||
\(432\) | 32959.9 | − | 103638.i | 0.176611 | − | 0.555329i | ||||
\(433\) | 112221. | 0.598545 | 0.299272 | − | 0.954168i | \(-0.403256\pi\) | ||||
0.299272 | + | 0.954168i | \(0.403256\pi\) | |||||||
\(434\) | 32975.3 | + | 25912.3i | 0.175069 | + | 0.137571i | ||||
\(435\) | −147359. | − | 147359.i | −0.778749 | − | 0.778749i | ||||
\(436\) | −103658. | − | 63077.3i | −0.545292 | − | 0.331818i | ||||
\(437\) | 10000.4 | + | 10000.4i | 0.0523666 | + | 0.0523666i | ||||
\(438\) | −14169.8 | − | 118140.i | −0.0738613 | − | 0.615813i | ||||
\(439\) | −95834.1 | −0.497269 | −0.248634 | − | 0.968597i | \(-0.579982\pi\) | ||||
−0.248634 | + | 0.968597i | \(0.579982\pi\) | |||||||
\(440\) | 168458. | + | 76705.6i | 0.870134 | + | 0.396206i | ||||
\(441\) | 5569.98i | 0.0286402i | ||||||||
\(442\) | 24130.9 | + | 201190.i | 0.123518 | + | 1.02982i | ||||
\(443\) | 48800.8 | − | 48800.8i | 0.248668 | − | 0.248668i | −0.571756 | − | 0.820424i | \(-0.693738\pi\) |
0.820424 | + | 0.571756i | \(0.193738\pi\) | |||||||
\(444\) | 283661. | − | 69038.3i | 1.43891 | − | 0.350206i | ||||
\(445\) | 31233.0 | − | 31233.0i | 0.157722 | − | 0.157722i | ||||
\(446\) | 296227. | + | 232777.i | 1.48920 | + | 1.17023i | ||||
\(447\) | 234127.i | 1.17175i | ||||||||
\(448\) | 135293. | + | 155435.i | 0.674091 | + | 0.774451i | ||||
\(449\) | −246669. | −1.22355 | −0.611776 | − | 0.791031i | \(-0.709545\pi\) | ||||
−0.611776 | + | 0.791031i | \(0.709545\pi\) | |||||||
\(450\) | −90812.7 | + | 115566.i | −0.448458 | + | 0.570697i | ||||
\(451\) | 124033. | + | 124033.i | 0.609794 | + | 0.609794i | ||||
\(452\) | 19544.3 | + | 80302.3i | 0.0956626 | + | 0.393053i | ||||
\(453\) | 62992.3 | + | 62992.3i | 0.306967 | + | 0.306967i | ||||
\(454\) | 352070. | − | 42227.7i | 1.70812 | − | 0.204874i | ||||
\(455\) | −342847. | −1.65606 | ||||||||
\(456\) | 41528.4 | − | 91203.1i | 0.199717 | − | 0.438611i | ||||
\(457\) | − | 6030.04i | − | 0.0288727i | −0.999896 | − | 0.0144364i | \(-0.995405\pi\) | ||
0.999896 | − | 0.0144364i | \(-0.00459540\pi\) | |||||||
\(458\) | −111107. | + | 13326.3i | −0.529675 | + | 0.0635298i | ||||
\(459\) | −85992.8 | + | 85992.8i | −0.408166 | + | 0.408166i | ||||
\(460\) | −32192.3 | + | 52903.1i | −0.152137 | + | 0.250015i | ||||
\(461\) | 13122.6 | − | 13122.6i | 0.0617473 | − | 0.0617473i | −0.675559 | − | 0.737306i | \(-0.736098\pi\) |
0.737306 | + | 0.675559i | \(0.236098\pi\) | |||||||
\(462\) | 103910. | − | 132233.i | 0.486824 | − | 0.619520i | ||||
\(463\) | − | 408077.i | − | 1.90362i | −0.306689 | − | 0.951810i | \(-0.599221\pi\) | ||
0.306689 | − | 0.951810i | \(-0.400779\pi\) | |||||||
\(464\) | −37731.0 | + | 118640.i | −0.175252 | + | 0.551054i | ||||
\(465\) | 89305.3 | 0.413020 | ||||||||
\(466\) | −78823.5 | − | 61940.1i | −0.362981 | − | 0.285233i | ||||
\(467\) | −108240. | − | 108240.i | −0.496311 | − | 0.496311i | 0.413977 | − | 0.910288i | \(-0.364140\pi\) |
−0.910288 | + | 0.413977i | \(0.864140\pi\) | |||||||
\(468\) | −63028.1 | + | 103577.i | −0.287768 | + | 0.472903i | ||||
\(469\) | −16557.8 | − | 16557.8i | −0.0752759 | − | 0.0752759i | ||||
\(470\) | −19335.8 | − | 161211.i | −0.0875321 | − | 0.729792i | ||||
\(471\) | −191216. | −0.861953 | ||||||||
\(472\) | −315458. | + | 118060.i | −1.41598 | + | 0.529930i | ||||
\(473\) | − | 220853.i | − | 0.987144i | ||||||
\(474\) | −23724.6 | − | 197802.i | −0.105595 | − | 0.880387i | ||||
\(475\) | 85376.7 | − | 85376.7i | 0.378401 | − | 0.378401i | ||||
\(476\) | −54493.5 | − | 223900.i | −0.240508 | − | 0.988187i | ||||
\(477\) | −91490.1 | + | 91490.1i | −0.402103 | + | 0.402103i | ||||
\(478\) | 292629. | + | 229950.i | 1.28074 | + | 1.00642i | ||||
\(479\) | 223150.i | 0.972583i | 0.873797 | + | 0.486291i | \(0.161651\pi\) | ||||
−0.873797 | + | 0.486291i | \(0.838349\pi\) | |||||||
\(480\) | 431036. | + | 82246.0i | 1.87081 | + | 0.356970i | ||||
\(481\) | 290165. | 1.25416 | ||||||||
\(482\) | −200144. | + | 254699.i | −0.861488 | + | 1.09631i | ||||
\(483\) | 39785.8 | + | 39785.8i | 0.170543 | + | 0.170543i | ||||
\(484\) | 139928. | − | 34056.2i | 0.597329 | − | 0.145380i | ||||
\(485\) | −356767. | − | 356767.i | −1.51670 | − | 1.51670i | ||||
\(486\) | −225544. | + | 27052.0i | −0.954901 | + | 0.114532i | ||||
\(487\) | 225880. | 0.952399 | 0.476200 | − | 0.879337i | \(-0.342014\pi\) | ||||
0.476200 | + | 0.879337i | \(0.342014\pi\) | |||||||
\(488\) | −211620. | + | 79198.5i | −0.888620 | + | 0.332566i | ||||
\(489\) | 372120.i | 1.55620i | ||||||||
\(490\) | 19893.4 | − | 2386.04i | 0.0828548 | − | 0.00993770i | ||||
\(491\) | −101698. | + | 101698.i | −0.421842 | + | 0.421842i | −0.885837 | − | 0.463996i | \(-0.846415\pi\) |
0.463996 | + | 0.885837i | \(0.346415\pi\) | |||||||
\(492\) | 355237. | + | 216167.i | 1.46754 | + | 0.893016i | ||||
\(493\) | 98440.7 | − | 98440.7i | 0.405024 | − | 0.405024i | ||||
\(494\) | 61541.4 | − | 78316.1i | 0.252182 | − | 0.320920i | ||||
\(495\) | − | 123853.i | − | 0.505469i | ||||||
\(496\) | −24517.0 | − | 47383.5i | −0.0996561 | − | 0.192603i | ||||
\(497\) | −52357.9 | −0.211968 | ||||||||
\(498\) | −72147.2 | − | 56693.9i | −0.290912 | − | 0.228601i | ||||
\(499\) | 226481. | + | 226481.i | 0.909559 | + | 0.909559i | 0.996236 | − | 0.0866770i | \(-0.0276248\pi\) |
−0.0866770 | + | 0.996236i | \(0.527625\pi\) | |||||||
\(500\) | 122670. | + | 74646.4i | 0.490680 | + | 0.298585i | ||||
\(501\) | −334357. | − | 334357.i | −1.33209 | − | 1.33209i | ||||
\(502\) | −17454.6 | − | 145526.i | −0.0692631 | − | 0.577476i | ||||
\(503\) | 125734. | 0.496956 | 0.248478 | − | 0.968637i | \(-0.420070\pi\) | ||||
0.248478 | + | 0.968637i | \(0.420070\pi\) | |||||||
\(504\) | 57139.1 | − | 125487.i | 0.224943 | − | 0.494011i | ||||
\(505\) | − | 407820.i | − | 1.59914i | ||||||
\(506\) | −3595.54 | − | 29977.5i | −0.0140431 | − | 0.117083i | ||||
\(507\) | −21662.8 | + | 21662.8i | −0.0842749 | + | 0.0842749i | ||||
\(508\) | −355804. | + | 86596.7i | −1.37874 | + | 0.335563i | ||||
\(509\) | −82499.2 | + | 82499.2i | −0.318430 | + | 0.318430i | −0.848164 | − | 0.529734i | \(-0.822292\pi\) |
0.529734 | + | 0.848164i | \(0.322292\pi\) | |||||||
\(510\) | −385829. | − | 303188.i | −1.48339 | − | 1.16566i | ||||
\(511\) | 134490.i | 0.515048i | ||||||||
\(512\) | −74694.3 | − | 251277.i | −0.284936 | − | 0.958546i | ||||
\(513\) | 59778.1 | 0.227147 | ||||||||
\(514\) | 39050.7 | − | 49694.9i | 0.147809 | − | 0.188099i | ||||
\(515\) | 194462. | + | 194462.i | 0.733198 | + | 0.733198i | ||||
\(516\) | −123814. | − | 508722.i | −0.465020 | − | 1.91065i | ||||
\(517\) | 55974.7 | + | 55974.7i | 0.209416 | + | 0.209416i | ||||
\(518\) | −327631. | + | 39296.4i | −1.22103 | + | 0.146451i | ||||
\(519\) | 254025. | 0.943066 | ||||||||
\(520\) | 396930. | + | 180738.i | 1.46794 | + | 0.668410i | ||||
\(521\) | − | 225057.i | − | 0.829120i | −0.910022 | − | 0.414560i | \(-0.863936\pi\) | ||
0.910022 | − | 0.414560i | \(-0.136064\pi\) | |||||||
\(522\) | 82708.5 | − | 9920.15i | 0.303535 | − | 0.0364064i | ||||
\(523\) | −230384. | + | 230384.i | −0.842264 | + | 0.842264i | −0.989153 | − | 0.146889i | \(-0.953074\pi\) |
0.146889 | + | 0.989153i | \(0.453074\pi\) | |||||||
\(524\) | 225866. | − | 371176.i | 0.822599 | − | 1.35182i | ||||
\(525\) | 339664. | − | 339664.i | 1.23234 | − | 1.23234i | ||||
\(526\) | −202768. | + | 258038.i | −0.732873 | + | 0.932636i | ||||
\(527\) | 59659.0i | 0.214810i | ||||||||
\(528\) | −190010. | + | 98314.4i | −0.681568 | + | 0.352655i | ||||
\(529\) | −269740. | −0.963903 | ||||||||
\(530\) | 365953. | + | 287569.i | 1.30279 | + | 1.02374i | ||||
\(531\) | 159364. | + | 159364.i | 0.565199 | + | 0.565199i | ||||
\(532\) | −58881.5 | + | 96762.7i | −0.208044 | + | 0.341889i | ||||
\(533\) | 292253. | + | 292253.i | 1.02874 | + | 1.02874i | ||||
\(534\) | 6079.64 | + | 50688.6i | 0.0213204 | + | 0.177757i | ||||
\(535\) | 97718.9 | 0.341406 | ||||||||
\(536\) | 10441.0 | + | 27898.5i | 0.0363423 | + | 0.0971070i | ||||
\(537\) | 353165.i | 1.22470i | ||||||||
\(538\) | 20762.4 | + | 173105.i | 0.0717319 | + | 0.598060i | ||||
\(539\) | −6907.27 | + | 6907.27i | −0.0237755 | + | 0.0237755i | ||||
\(540\) | 61900.3 | + | 254332.i | 0.212278 | + | 0.872195i | ||||
\(541\) | −183995. | + | 183995.i | −0.628655 | + | 0.628655i | −0.947730 | − | 0.319074i | \(-0.896628\pi\) |
0.319074 | + | 0.947730i | \(0.396628\pi\) | |||||||
\(542\) | −348506. | − | 273859.i | −1.18635 | − | 0.932241i | ||||
\(543\) | 155654.i | 0.527909i | ||||||||
\(544\) | −54943.1 | + | 287947.i | −0.185659 | + | 0.973003i | ||||
\(545\) | 292056. | 0.983271 | ||||||||
\(546\) | 244838. | − | 311575.i | 0.821284 | − | 1.04515i | ||||
\(547\) | −416851. | − | 416851.i | −1.39318 | − | 1.39318i | −0.818100 | − | 0.575075i | \(-0.804973\pi\) |
−0.575075 | − | 0.818100i | \(-0.695027\pi\) | |||||||
\(548\) | 523604. | − | 127436.i | 1.74358 | − | 0.424358i | ||||
\(549\) | 106907. | + | 106907.i | 0.354699 | + | 0.354699i | ||||
\(550\) | −255928. | + | 30696.3i | −0.846043 | + | 0.101475i | ||||
\(551\) | −68431.2 | −0.225399 | ||||||||
\(552\) | −25088.1 | − | 67035.7i | −0.0823360 | − | 0.220003i | ||||
\(553\) | 225176.i | 0.736330i | ||||||||
\(554\) | 143976. | − | 17268.6i | 0.469104 | − | 0.0562649i | ||||
\(555\) | −496864. | + | 496864.i | −1.61307 | + | 1.61307i | ||||
\(556\) | −227085. | − | 138184.i | −0.734578 | − | 0.447001i | ||||
\(557\) | −233211. | + | 233211.i | −0.751691 | + | 0.751691i | −0.974795 | − | 0.223104i | \(-0.928381\pi\) |
0.223104 | + | 0.974795i | \(0.428381\pi\) | |||||||
\(558\) | −22056.3 | + | 28068.4i | −0.0708378 | + | 0.0901465i | ||||
\(559\) | − | 520386.i | − | 1.66534i | ||||||
\(560\) | −472659. | − | 150320.i | −1.50720 | − | 0.479335i | ||||
\(561\) | 239236. | 0.760152 | ||||||||
\(562\) | −153484. | − | 120609.i | −0.485949 | − | 0.381862i | ||||
\(563\) | −82256.5 | − | 82256.5i | −0.259510 | − | 0.259510i | 0.565345 | − | 0.824855i | \(-0.308743\pi\) |
−0.824855 | + | 0.565345i | \(0.808743\pi\) | |||||||
\(564\) | 160315. | + | 97553.9i | 0.503983 | + | 0.306681i | ||||
\(565\) | −140659. | − | 140659.i | −0.440626 | − | 0.440626i | ||||
\(566\) | 75090.4 | + | 626061.i | 0.234397 | + | 1.95427i | ||||
\(567\) | 412331. | 1.28257 | ||||||||
\(568\) | 60617.3 | + | 27601.5i | 0.187888 | + | 0.0855530i | ||||
\(569\) | 130218.i | 0.402203i | 0.979570 | + | 0.201102i | \(0.0644522\pi\) | ||||
−0.979570 | + | 0.201102i | \(0.935548\pi\) | |||||||
\(570\) | 28724.2 | + | 239486.i | 0.0884093 | + | 0.737106i | ||||
\(571\) | 62508.2 | − | 62508.2i | 0.191719 | − | 0.191719i | −0.604720 | − | 0.796438i | \(-0.706715\pi\) |
0.796438 | + | 0.604720i | \(0.206715\pi\) | |||||||
\(572\) | −206605. | + | 50284.3i | −0.631465 | + | 0.153688i | ||||
\(573\) | 16001.2 | − | 16001.2i | 0.0487353 | − | 0.0487353i | ||||
\(574\) | −369568. | − | 290410.i | −1.12168 | − | 0.881429i | ||||
\(575\) | − | 86238.6i | − | 0.260835i | ||||||
\(576\) | −132305. | + | 115160.i | −0.398779 | + | 0.347102i | ||||
\(577\) | 522256. | 1.56867 | 0.784336 | − | 0.620336i | \(-0.213004\pi\) | ||||
0.784336 | + | 0.620336i | \(0.213004\pi\) | |||||||
\(578\) | −3879.92 | + | 4937.49i | −0.0116136 | + | 0.0147792i | ||||
\(579\) | −230208. | − | 230208.i | −0.686695 | − | 0.686695i | ||||
\(580\) | −70860.6 | − | 291148.i | −0.210644 | − | 0.865481i | ||||
\(581\) | 73336.0 | + | 73336.0i | 0.217252 | + | 0.217252i | ||||
\(582\) | 579003. | − | 69446.3i | 1.70937 | − | 0.205023i | ||||
\(583\) | −226912. | −0.667606 | ||||||||
\(584\) | 70898.8 | − | 155705.i | 0.207880 | − | 0.456539i | ||||
\(585\) | − | 291829.i | − | 0.852739i | ||||||
\(586\) | 73538.9 | − | 8820.34i | 0.214152 | − | 0.0256856i | ||||
\(587\) | 309702. | − | 309702.i | 0.898811 | − | 0.898811i | −0.0965202 | − | 0.995331i | \(-0.530771\pi\) |
0.995331 | + | 0.0965202i | \(0.0307712\pi\) | |||||||
\(588\) | −12038.1 | + | 19782.8i | −0.0348181 | + | 0.0572182i | ||||
\(589\) | 20736.0 | − | 20736.0i | 0.0597717 | − | 0.0597717i | ||||
\(590\) | 500909. | − | 637444.i | 1.43898 | − | 1.83121i | ||||
\(591\) | − | 443697.i | − | 1.27032i | ||||||
\(592\) | 400030. | + | 127221.i | 1.14143 | + | 0.363008i | ||||
\(593\) | −447350. | −1.27215 | −0.636075 | − | 0.771628i | \(-0.719443\pi\) | ||||
−0.636075 | + | 0.771628i | \(0.719443\pi\) | |||||||
\(594\) | −100343. | − | 78850.2i | −0.284389 | − | 0.223475i | ||||
\(595\) | 392186. | + | 392186.i | 1.10779 | + | 1.10779i | ||||
\(596\) | −174999. | + | 287584.i | −0.492655 | + | 0.809603i | ||||
\(597\) | −425687. | − | 425687.i | −1.19438 | − | 1.19438i | ||||
\(598\) | −8472.01 | − | 70634.7i | −0.0236910 | − | 0.197522i | ||||
\(599\) | 462149. | 1.28804 | 0.644019 | − | 0.765009i | \(-0.277266\pi\) | ||||
0.644019 | + | 0.765009i | \(0.277266\pi\) | |||||||
\(600\) | −572306. | + | 214185.i | −1.58974 | + | 0.594960i | ||||
\(601\) | − | 374481.i | − | 1.03677i | −0.855149 | − | 0.518383i | \(-0.826534\pi\) | ||
0.855149 | − | 0.518383i | \(-0.173466\pi\) | |||||||
\(602\) | 70474.8 | + | 587578.i | 0.194465 | + | 1.62134i | ||||
\(603\) | 14093.8 | − | 14093.8i | 0.0387610 | − | 0.0387610i | ||||
\(604\) | 30291.2 | + | 124459.i | 0.0830315 | + | 0.341155i | ||||
\(605\) | −245100. | + | 245100.i | −0.669627 | + | 0.669627i | ||||
\(606\) | 370622. | + | 291238.i | 1.00922 | + | 0.793053i | ||||
\(607\) | − | 86755.6i | − | 0.235462i | −0.993046 | − | 0.117731i | \(-0.962438\pi\) | ||
0.993046 | − | 0.117731i | \(-0.0375620\pi\) | |||||||
\(608\) | 119180. | − | 80986.4i | 0.322402 | − | 0.219081i | ||||
\(609\) | −272248. | −0.734058 | ||||||||
\(610\) | 336026. | − | 427618.i | 0.903053 | − | 1.14920i | ||||
\(611\) | 131891. | + | 131891.i | 0.353290 | + | 0.353290i | ||||
\(612\) | 190582. | − | 46384.4i | 0.508836 | − | 0.123842i | ||||
\(613\) | −112325. | − | 112325.i | −0.298920 | − | 0.298920i | 0.541671 | − | 0.840591i | \(-0.317792\pi\) |
−0.840591 | + | 0.541671i | \(0.817792\pi\) | |||||||
\(614\) | 141959. | − | 17026.7i | 0.376553 | − | 0.0451642i | ||||
\(615\) | −1.00088e6 | −2.64626 | ||||||||
\(616\) | 226472. | − | 84757.2i | 0.596834 | − | 0.223365i | ||||
\(617\) | 602706.i | 1.58320i | 0.611041 | + | 0.791599i | \(0.290751\pi\) | ||||
−0.611041 | + | 0.791599i | \(0.709249\pi\) | |||||||
\(618\) | −315597. | + | 37853.0i | −0.826334 | + | 0.0991114i | ||||
\(619\) | −150969. | + | 150969.i | −0.394010 | + | 0.394010i | −0.876114 | − | 0.482104i | \(-0.839873\pi\) |
0.482104 | + | 0.876114i | \(0.339873\pi\) | |||||||
\(620\) | 109696. | + | 66751.5i | 0.285369 | + | 0.173651i | ||||
\(621\) | 30190.8 | − | 30190.8i | 0.0782873 | − | 0.0782873i | ||||
\(622\) | 132985. | − | 169233.i | 0.343733 | − | 0.437426i | ||||
\(623\) | − | 57703.6i | − | 0.148671i | ||||||
\(624\) | −447713. | + | 231654.i | −1.14982 | + | 0.594937i | ||||
\(625\) | 190658. | 0.488084 | ||||||||
\(626\) | 431968. | + | 339444.i | 1.10231 | + | 0.866202i | ||||
\(627\) | −83152.6 | − | 83152.6i | −0.211515 | − | 0.211515i | ||||
\(628\) | −234876. | − | 142925.i | −0.595551 | − | 0.362401i | ||||
\(629\) | −331922. | − | 331922.i | −0.838948 | − | 0.838948i | ||||
\(630\) | 39521.7 | + | 329509.i | 0.0995761 | + | 0.830208i | ||||
\(631\) | −693714. | −1.74230 | −0.871148 | − | 0.491020i | \(-0.836624\pi\) | ||||
−0.871148 | + | 0.491020i | \(0.836624\pi\) | |||||||
\(632\) | 118706. | − | 260698.i | 0.297193 | − | 0.652684i | ||||
\(633\) | 503485.i | 1.25655i | ||||||||
\(634\) | −77838.8 | − | 648975.i | −0.193650 | − | 1.61454i | ||||
\(635\) | 623231. | − | 623231.i | 1.54562 | − | 1.54562i | ||||
\(636\) | −522678. | + | 127211.i | −1.29217 | + | 0.314493i | ||||
\(637\) | −16275.3 | + | 16275.3i | −0.0401098 | + | 0.0401098i | ||||
\(638\) | 114868. | + | 90264.0i | 0.282200 | + | 0.221755i | ||||
\(639\) | − | 44566.7i | − | 0.109146i | ||||||
\(640\) | 467976. | + | 423203.i | 1.14252 | + | 1.03321i | ||||
\(641\) | −17843.0 | −0.0434261 | −0.0217131 | − | 0.999764i | \(-0.506912\pi\) | ||||
−0.0217131 | + | 0.999764i | \(0.506912\pi\) | |||||||
\(642\) | −69784.2 | + | 88805.6i | −0.169312 | + | 0.215462i | ||||
\(643\) | −230136. | − | 230136.i | −0.556626 | − | 0.556626i | 0.371719 | − | 0.928345i | \(-0.378768\pi\) |
−0.928345 | + | 0.371719i | \(0.878768\pi\) | |||||||
\(644\) | 19131.8 | + | 78607.8i | 0.0461301 | + | 0.189537i | ||||
\(645\) | 891085. | + | 891085.i | 2.14190 | + | 2.14190i | ||||
\(646\) | −159985. | + | 19188.7i | −0.383366 | + | 0.0459813i | ||||
\(647\) | 568528. | 1.35814 | 0.679068 | − | 0.734075i | \(-0.262384\pi\) | ||||
0.679068 | + | 0.734075i | \(0.262384\pi\) | |||||||
\(648\) | −477376. | − | 217368.i | −1.13687 | − | 0.517661i | ||||
\(649\) | 395251.i | 0.938391i | ||||||||
\(650\) | −603032. | + | 72328.4i | −1.42730 | + | 0.171191i | ||||
\(651\) | 82496.7 | − | 82496.7i | 0.194659 | − | 0.194659i | ||||
\(652\) | −278142. | + | 457083.i | −0.654291 | + | 1.07523i | ||||
\(653\) | 371799. | − | 371799.i | 0.871932 | − | 0.871932i | −0.120751 | − | 0.992683i | \(-0.538530\pi\) |
0.992683 | + | 0.120751i | \(0.0385303\pi\) | |||||||
\(654\) | −208567. | + | 265417.i | −0.487629 | + | 0.620544i | ||||
\(655\) | 1.04579e6i | 2.43759i | ||||||||
\(656\) | 274772. | + | 531046.i | 0.638506 | + | 1.23403i | ||||
\(657\) | −114477. | −0.265208 | ||||||||
\(658\) | −166782. | − | 131059.i | −0.385210 | − | 0.302701i | ||||
\(659\) | −71107.3 | − | 71107.3i | −0.163736 | − | 0.163736i | 0.620484 | − | 0.784219i | \(-0.286936\pi\) |
−0.784219 | + | 0.620484i | \(0.786936\pi\) | |||||||
\(660\) | 267677. | − | 439886.i | 0.614502 | − | 1.00984i | ||||
\(661\) | 570193. | + | 570193.i | 1.30502 | + | 1.30502i | 0.924960 | + | 0.380065i | \(0.124098\pi\) |
0.380065 | + | 0.924960i | \(0.375902\pi\) | |||||||
\(662\) | −45815.2 | − | 381981.i | −0.104543 | − | 0.871617i | ||||
\(663\) | 563701. | 1.28239 | ||||||||
\(664\) | −46244.2 | − | 123565.i | −0.104887 | − | 0.280259i | ||||
\(665\) | − | 272629.i | − | 0.616494i | ||||||
\(666\) | −33448.8 | − | 278877.i | −0.0754105 | − | 0.628730i | ||||
\(667\) | −34561.0 | + | 34561.0i | −0.0776846 | + | 0.0776846i | ||||
\(668\) | −160783. | − | 660615.i | −0.360318 | − | 1.48046i | ||||
\(669\) | 741091. | − | 741091.i | 1.65584 | − | 1.65584i | ||||
\(670\) | −56374.3 | − | 44299.4i | −0.125583 | − | 0.0986842i | ||||
\(671\) | 265148.i | 0.588901i | ||||||||
\(672\) | 474149. | − | 322198.i | 1.04997 | − | 0.713484i | ||||
\(673\) | −57084.2 | −0.126033 | −0.0630167 | − | 0.998012i | \(-0.520072\pi\) | ||||
−0.0630167 | + | 0.998012i | \(0.520072\pi\) | |||||||
\(674\) | −362573. | + | 461402.i | −0.798134 | + | 1.01569i | ||||
\(675\) | −257749. | − | 257749.i | −0.565704 | − | 0.565704i | ||||
\(676\) | −42800.8 | + | 10417.0i | −0.0936609 | + | 0.0227955i | ||||
\(677\) | −107264. | − | 107264.i | −0.234032 | − | 0.234032i | 0.580341 | − | 0.814373i | \(-0.302919\pi\) |
−0.814373 | + | 0.580341i | \(0.802919\pi\) | |||||||
\(678\) | 228278. | − | 27379.9i | 0.496597 | − | 0.0595624i | ||||
\(679\) | −659134. | −1.42966 | ||||||||
\(680\) | −247305. | − | 660801.i | −0.534828 | − | 1.42907i | ||||
\(681\) | − | 986444.i | − | 2.12705i | ||||||
\(682\) | −62159.1 | + | 7455.43i | −0.133640 | + | 0.0160289i | ||||
\(683\) | 41763.8 | − | 41763.8i | 0.0895280 | − | 0.0895280i | −0.660924 | − | 0.750452i | \(-0.729836\pi\) |
0.750452 | + | 0.660924i | \(0.229836\pi\) | |||||||
\(684\) | −82363.7 | − | 50119.5i | −0.176045 | − | 0.107126i | ||||
\(685\) | −917153. | + | 917153.i | −1.95461 | + | 1.95461i | ||||
\(686\) | −282365. | + | 359331.i | −0.600016 | + | 0.763565i | ||||
\(687\) | 311303.i | 0.659583i | ||||||||
\(688\) | 228161. | − | 717420.i | 0.482019 | − | 1.51564i | ||||
\(689\) | −534662. | −1.12627 | ||||||||
\(690\) | 135459. | + | 106445.i | 0.284517 | + | 0.223576i | ||||
\(691\) | 473605. | + | 473605.i | 0.991882 | + | 0.991882i | 0.999967 | − | 0.00808568i | \(-0.00257378\pi\) |
−0.00808568 | + | 0.999967i | \(0.502574\pi\) | |||||||
\(692\) | 312025. | + | 189872.i | 0.651594 | + | 0.396504i | ||||
\(693\) | −114410. | − | 114410.i | −0.238231 | − | 0.238231i | ||||
\(694\) | 53974.3 | + | 450007.i | 0.112065 | + | 0.934330i | ||||
\(695\) | 639811. | 1.32459 | ||||||||
\(696\) | 315195. | + | 143521.i | 0.650670 | + | 0.296276i | ||||
\(697\) | − | 668623.i | − | 1.37631i | ||||||
\(698\) | −68033.3 | − | 567223.i | −0.139640 | − | 1.16424i | ||||
\(699\) | −197198. | + | 197198.i | −0.403598 | + | 0.403598i | ||||
\(700\) | 671101. | − | 163335.i | 1.36959 | − | 0.333336i | ||||
\(701\) | −139642. | + | 139642.i | −0.284170 | + | 0.284170i | −0.834770 | − | 0.550599i | \(-0.814399\pi\) |
0.550599 | + | 0.834770i | \(0.314399\pi\) | |||||||
\(702\) | −236433. | − | 185791.i | −0.479772 | − | 0.377008i | ||||
\(703\) | 230737.i | 0.466880i | ||||||||
\(704\) | −306879. | − | 21261.6i | −0.619188 | − | 0.0428994i | ||||
\(705\) | −451687. | −0.908782 | ||||||||
\(706\) | 320934. | − | 408412.i | 0.643882 | − | 0.819388i | ||||
\(707\) | −376728. | − | 376728.i | −0.753684 | − | 0.753684i | ||||
\(708\) | 221586. | + | 910438.i | 0.442054 | + | 1.81628i | ||||
\(709\) | −161047. | − | 161047.i | −0.320377 | − | 0.320377i | 0.528535 | − | 0.848912i | \(-0.322742\pi\) |
−0.848912 | + | 0.528535i | \(0.822742\pi\) | |||||||
\(710\) | −159172. | + | 19091.3i | −0.315755 | + | 0.0378720i | ||||
\(711\) | −191668. | −0.379150 | ||||||||
\(712\) | −30419.5 | + | 66806.2i | −0.0600057 | + | 0.131782i | ||||
\(713\) | − | 20945.4i | − | 0.0412011i | ||||||
\(714\) | −636486. | + | 76340.9i | −1.24851 | + | 0.149748i | ||||
\(715\) | 361893. | − | 361893.i | 0.707894 | − | 0.707894i | ||||
\(716\) | −263974. | + | 433801.i | −0.514914 | + | 0.846183i | ||||
\(717\) | 732090. | − | 732090.i | 1.42405 | − | 1.42405i | ||||
\(718\) | −138262. | + | 175949.i | −0.268197 | + | 0.341300i | ||||
\(719\) | − | 132212.i | − | 0.255749i | −0.991790 | − | 0.127874i | \(-0.959185\pi\) | ||
0.991790 | − | 0.127874i | \(-0.0408154\pi\) | |||||||
\(720\) | 127951. | − | 402324.i | 0.246819 | − | 0.776087i | ||||
\(721\) | 359273. | 0.691122 | ||||||||
\(722\) | −347600. | − | 273147.i | −0.666815 | − | 0.523989i | ||||
\(723\) | 637198. | + | 637198.i | 1.21898 | + | 1.21898i | ||||
\(724\) | −116344. | + | 191193.i | −0.221955 | + | 0.364749i | ||||
\(725\) | 295059. | + | 295059.i | 0.561349 | + | 0.561349i | ||||
\(726\) | −47709.9 | − | 397778.i | −0.0905180 | − | 0.754687i | ||||
\(727\) | 98417.4 | 0.186210 | 0.0931050 | − | 0.995656i | \(-0.470321\pi\) | ||||
0.0931050 | + | 0.995656i | \(0.470321\pi\) | |||||||
\(728\) | 533627. | − | 199710.i | 1.00687 | − | 0.376822i | ||||
\(729\) | − | 31927.4i | − | 0.0600770i | ||||||
\(730\) | 49039.0 | + | 408859.i | 0.0920229 | + | 0.767234i | ||||
\(731\) | −595275. | + | 595275.i | −1.11399 | + | 1.11399i | ||||
\(732\) | 148647. | + | 610752.i | 0.277418 | + | 1.13984i | ||||
\(733\) | −369797. | + | 369797.i | −0.688265 | + | 0.688265i | −0.961848 | − | 0.273584i | \(-0.911791\pi\) |
0.273584 | + | 0.961848i | \(0.411791\pi\) | |||||||
\(734\) | 455879. | + | 358233.i | 0.846169 | + | 0.664927i | ||||
\(735\) | − | 55738.2i | − | 0.103176i | ||||||
\(736\) | 19289.7 | − | 101094.i | 0.0356098 | − | 0.186624i | ||||
\(737\) | 34955.2 | 0.0643542 | ||||||||
\(738\) | 247194. | − | 314574.i | 0.453864 | − | 0.577576i | ||||
\(739\) | 117481. | + | 117481.i | 0.215120 | + | 0.215120i | 0.806438 | − | 0.591318i | \(-0.201392\pi\) |
−0.591318 | + | 0.806438i | \(0.701392\pi\) | |||||||
\(740\) | −981693. | + | 238928.i | −1.79272 | + | 0.436318i | ||||
\(741\) | −195929. | − | 195929.i | −0.356831 | − | 0.356831i | ||||
\(742\) | 603698. | − | 72408.2i | 1.09651 | − | 0.131516i | ||||
\(743\) | −273733. | −0.495849 | −0.247925 | − | 0.968779i | \(-0.579749\pi\) | ||||
−0.247925 | + | 0.968779i | \(0.579749\pi\) | |||||||
\(744\) | −139000. | + | 52020.8i | −0.251113 | + | 0.0939790i | ||||
\(745\) | − | 810267.i | − | 1.45988i | ||||||
\(746\) | 134993. | − | 16191.2i | 0.242568 | − | 0.0290939i | ||||
\(747\) | −62423.0 | + | 62423.0i | −0.111867 | + | 0.111867i | ||||
\(748\) | 293859. | + | 178817.i | 0.525213 | + | 0.319600i | ||||
\(749\) | 90268.8 | − | 90268.8i | 0.160907 | − | 0.160907i | ||||
\(750\) | 246820. | − | 314097.i | 0.438791 | − | 0.558395i | ||||
\(751\) | − | 875863.i | − | 1.55295i | −0.630150 | − | 0.776473i | \(-0.717007\pi\) | ||
0.630150 | − | 0.776473i | \(-0.282993\pi\) | |||||||
\(752\) | 124002. | + | 239655.i | 0.219276 | + | 0.423791i | ||||
\(753\) | −407741. | −0.719108 | ||||||||
\(754\) | 270658. | + | 212685.i | 0.476078 | + | 0.374106i | ||||
\(755\) | −218004. | − | 218004.i | −0.382446 | − | 0.382446i | ||||
\(756\) | 292123. | + | 177761.i | 0.511119 | + | 0.311023i | ||||
\(757\) | 66071.4 | + | 66071.4i | 0.115298 | + | 0.115298i | 0.762402 | − | 0.647104i | \(-0.224020\pi\) |
−0.647104 | + | 0.762402i | \(0.724020\pi\) | |||||||
\(758\) | 18800.0 | + | 156743.i | 0.0327204 | + | 0.272804i | ||||
\(759\) | −83992.1 | −0.145799 | ||||||||
\(760\) | −143721. | + | 315636.i | −0.248825 | + | 0.546461i | ||||
\(761\) | 333176.i | 0.575314i | 0.957734 | + | 0.287657i | \(0.0928763\pi\) | ||||
−0.957734 | + | 0.287657i | \(0.907124\pi\) | |||||||
\(762\) | 121315. | + | 1.01145e6i | 0.208932 | + | 1.74195i | ||||
\(763\) | 269790. | − | 269790.i | 0.463422 | − | 0.463422i | ||||
\(764\) | 31614.8 | − | 7694.51i | 0.0541631 | − | 0.0131824i | ||||
\(765\) | −333826. | + | 333826.i | −0.570423 | + | 0.570423i | ||||
\(766\) | −303985. | − | 238874.i | −0.518078 | − | 0.407110i | ||||
\(767\) | 931313.i | 1.58309i | ||||||||
\(768\) | −718798. | + | 123068.i | −1.21867 | + | 0.208652i | ||||
\(769\) | −110911. | −0.187552 | −0.0937762 | − | 0.995593i | \(-0.529894\pi\) | ||||
−0.0937762 | + | 0.995593i | \(0.529894\pi\) | |||||||
\(770\) | −359610. | + | 457631.i | −0.606528 | + | 0.771853i | ||||
\(771\) | −124325. | &minu |