Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,3,Mod(323,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.323");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.b (of order \(2\), degree \(1\), 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: | \(13.1607967686\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 323.20 | ||
Character | \(\chi\) | \(=\) | 483.323 |
Dual form | 483.3.b.a.323.69 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.47284i | − | 1.23642i | −0.786013 | − | 0.618210i | \(-0.787858\pi\) | ||
0.786013 | − | 0.618210i | \(-0.212142\pi\) | |||||||
\(3\) | −2.89906 | + | 0.771673i | −0.966352 | + | 0.257224i | ||||
\(4\) | −2.11494 | −0.528736 | ||||||||
\(5\) | 6.48523i | 1.29705i | 0.761195 | + | 0.648523i | \(0.224613\pi\) | ||||
−0.761195 | + | 0.648523i | \(0.775387\pi\) | |||||||
\(6\) | 1.90823 | + | 7.16890i | 0.318038 | + | 1.19482i | ||||
\(7\) | −2.64575 | −0.377964 | ||||||||
\(8\) | − | 4.66144i | − | 0.582680i | ||||||
\(9\) | 7.80904 | − | 4.47425i | 0.867671 | − | 0.497139i | ||||
\(10\) | 16.0370 | 1.60370 | ||||||||
\(11\) | − | 9.37034i | − | 0.851849i | −0.904759 | − | 0.425925i | \(-0.859949\pi\) | ||
0.904759 | − | 0.425925i | \(-0.140051\pi\) | |||||||
\(12\) | 6.13134 | − | 1.63205i | 0.510945 | − | 0.136004i | ||||
\(13\) | 4.90351 | 0.377193 | 0.188597 | − | 0.982055i | \(-0.439606\pi\) | ||||
0.188597 | + | 0.982055i | \(0.439606\pi\) | |||||||
\(14\) | 6.54252i | 0.467323i | ||||||||
\(15\) | −5.00448 | − | 18.8011i | −0.333632 | − | 1.25340i | ||||
\(16\) | −19.9868 | −1.24917 | ||||||||
\(17\) | 11.1062i | 0.653305i | 0.945144 | + | 0.326653i | \(0.105921\pi\) | ||||
−0.945144 | + | 0.326653i | \(0.894079\pi\) | |||||||
\(18\) | −11.0641 | − | 19.3105i | −0.614672 | − | 1.07281i | ||||
\(19\) | −6.35410 | −0.334426 | −0.167213 | − | 0.985921i | \(-0.553477\pi\) | ||||
−0.167213 | + | 0.985921i | \(0.553477\pi\) | |||||||
\(20\) | − | 13.7159i | − | 0.685796i | ||||||
\(21\) | 7.67018 | − | 2.04166i | 0.365247 | − | 0.0972217i | ||||
\(22\) | −23.1714 | −1.05324 | ||||||||
\(23\) | − | 4.79583i | − | 0.208514i | ||||||
\(24\) | 3.59711 | + | 13.5138i | 0.149880 | + | 0.563074i | ||||
\(25\) | −17.0583 | −0.682330 | ||||||||
\(26\) | − | 12.1256i | − | 0.466370i | ||||||
\(27\) | −19.1862 | + | 18.9971i | −0.710599 | + | 0.703597i | ||||
\(28\) | 5.59562 | 0.199844 | ||||||||
\(29\) | 49.3977i | 1.70337i | 0.524055 | + | 0.851684i | \(0.324418\pi\) | ||||
−0.524055 | + | 0.851684i | \(0.675582\pi\) | |||||||
\(30\) | −46.4920 | + | 12.3753i | −1.54973 | + | 0.412510i | ||||
\(31\) | −46.1462 | −1.48859 | −0.744294 | − | 0.667852i | \(-0.767214\pi\) | ||||
−0.744294 | + | 0.667852i | \(0.767214\pi\) | |||||||
\(32\) | 30.7784i | 0.961825i | ||||||||
\(33\) | 7.23084 | + | 27.1651i | 0.219116 | + | 0.823186i | ||||
\(34\) | 27.4638 | 0.807760 | ||||||||
\(35\) | − | 17.1583i | − | 0.490238i | ||||||
\(36\) | −16.5157 | + | 9.46279i | −0.458769 | + | 0.262855i | ||||
\(37\) | −65.6564 | −1.77450 | −0.887249 | − | 0.461291i | \(-0.847386\pi\) | ||||
−0.887249 | + | 0.461291i | \(0.847386\pi\) | |||||||
\(38\) | 15.7127i | 0.413491i | ||||||||
\(39\) | −14.2156 | + | 3.78391i | −0.364501 | + | 0.0970234i | ||||
\(40\) | 30.2305 | 0.755764 | ||||||||
\(41\) | 44.1702i | 1.07732i | 0.842523 | + | 0.538661i | \(0.181069\pi\) | ||||
−0.842523 | + | 0.538661i | \(0.818931\pi\) | |||||||
\(42\) | −5.04869 | − | 18.9671i | −0.120207 | − | 0.451598i | ||||
\(43\) | −77.9135 | −1.81194 | −0.905971 | − | 0.423340i | \(-0.860858\pi\) | ||||
−0.905971 | + | 0.423340i | \(0.860858\pi\) | |||||||
\(44\) | 19.8178i | 0.450403i | ||||||||
\(45\) | 29.0165 | + | 50.6435i | 0.644812 | + | 1.12541i | ||||
\(46\) | −11.8593 | −0.257812 | ||||||||
\(47\) | − | 2.11060i | − | 0.0449064i | −0.999748 | − | 0.0224532i | \(-0.992852\pi\) | ||
0.999748 | − | 0.0224532i | \(-0.00714768\pi\) | |||||||
\(48\) | 57.9428 | − | 15.4233i | 1.20714 | − | 0.321318i | ||||
\(49\) | 7.00000 | 0.142857 | ||||||||
\(50\) | 42.1824i | 0.843647i | ||||||||
\(51\) | −8.57035 | − | 32.1974i | −0.168046 | − | 0.631323i | ||||
\(52\) | −10.3707 | −0.199436 | ||||||||
\(53\) | − | 66.3914i | − | 1.25267i | −0.779555 | − | 0.626334i | \(-0.784555\pi\) | ||
0.779555 | − | 0.626334i | \(-0.215445\pi\) | |||||||
\(54\) | 46.9769 | + | 47.4444i | 0.869942 | + | 0.878600i | ||||
\(55\) | 60.7688 | 1.10489 | ||||||||
\(56\) | 12.3330i | 0.220232i | ||||||||
\(57\) | 18.4209 | − | 4.90329i | 0.323173 | − | 0.0860226i | ||||
\(58\) | 122.153 | 2.10608 | ||||||||
\(59\) | − | 69.6173i | − | 1.17995i | −0.807420 | − | 0.589977i | \(-0.799137\pi\) | ||
0.807420 | − | 0.589977i | \(-0.200863\pi\) | |||||||
\(60\) | 10.5842 | + | 39.7632i | 0.176403 | + | 0.662720i | ||||
\(61\) | 22.3516 | 0.366420 | 0.183210 | − | 0.983074i | \(-0.441351\pi\) | ||||
0.183210 | + | 0.983074i | \(0.441351\pi\) | |||||||
\(62\) | 114.112i | 1.84052i | ||||||||
\(63\) | −20.6608 | + | 11.8377i | −0.327949 | + | 0.187901i | ||||
\(64\) | −3.83708 | −0.0599543 | ||||||||
\(65\) | 31.8004i | 0.489237i | ||||||||
\(66\) | 67.1751 | − | 17.8807i | 1.01780 | − | 0.270920i | ||||
\(67\) | 85.5505 | 1.27687 | 0.638437 | − | 0.769674i | \(-0.279581\pi\) | ||||
0.638437 | + | 0.769674i | \(0.279581\pi\) | |||||||
\(68\) | − | 23.4890i | − | 0.345426i | ||||||
\(69\) | 3.70082 | + | 13.9034i | 0.0536350 | + | 0.201498i | ||||
\(70\) | −42.4298 | −0.606140 | ||||||||
\(71\) | 45.3965i | 0.639388i | 0.947521 | + | 0.319694i | \(0.103580\pi\) | ||||
−0.947521 | + | 0.319694i | \(0.896420\pi\) | |||||||
\(72\) | −20.8564 | − | 36.4014i | −0.289673 | − | 0.505575i | ||||
\(73\) | −108.196 | −1.48214 | −0.741069 | − | 0.671429i | \(-0.765681\pi\) | ||||
−0.741069 | + | 0.671429i | \(0.765681\pi\) | |||||||
\(74\) | 162.358i | 2.19403i | ||||||||
\(75\) | 49.4528 | − | 13.1634i | 0.659371 | − | 0.175512i | ||||
\(76\) | 13.4386 | 0.176823 | ||||||||
\(77\) | 24.7916i | 0.321969i | ||||||||
\(78\) | 9.35701 | + | 35.1528i | 0.119962 | + | 0.450677i | ||||
\(79\) | −42.9889 | −0.544163 | −0.272082 | − | 0.962274i | \(-0.587712\pi\) | ||||
−0.272082 | + | 0.962274i | \(0.587712\pi\) | |||||||
\(80\) | − | 129.619i | − | 1.62024i | ||||||
\(81\) | 40.9622 | − | 69.8791i | 0.505707 | − | 0.862706i | ||||
\(82\) | 109.226 | 1.33202 | ||||||||
\(83\) | 143.377i | 1.72744i | 0.503976 | + | 0.863718i | \(0.331870\pi\) | ||||
−0.503976 | + | 0.863718i | \(0.668130\pi\) | |||||||
\(84\) | −16.2220 | + | 4.31799i | −0.193119 | + | 0.0514046i | ||||
\(85\) | −72.0262 | −0.847367 | ||||||||
\(86\) | 192.668i | 2.24032i | ||||||||
\(87\) | −38.1189 | − | 143.207i | −0.438148 | − | 1.64605i | ||||
\(88\) | −43.6793 | −0.496356 | ||||||||
\(89\) | − | 35.5329i | − | 0.399246i | −0.979873 | − | 0.199623i | \(-0.936028\pi\) | ||
0.979873 | − | 0.199623i | \(-0.0639717\pi\) | |||||||
\(90\) | 125.233 | − | 71.7533i | 1.39148 | − | 0.797259i | ||||
\(91\) | −12.9735 | −0.142566 | ||||||||
\(92\) | 10.1429i | 0.110249i | ||||||||
\(93\) | 133.780 | − | 35.6098i | 1.43850 | − | 0.382901i | ||||
\(94\) | −5.21918 | −0.0555232 | ||||||||
\(95\) | − | 41.2078i | − | 0.433766i | ||||||
\(96\) | −23.7509 | − | 89.2282i | −0.247405 | − | 0.929461i | ||||
\(97\) | −77.3480 | −0.797402 | −0.398701 | − | 0.917081i | \(-0.630539\pi\) | ||||
−0.398701 | + | 0.917081i | \(0.630539\pi\) | |||||||
\(98\) | − | 17.3099i | − | 0.176632i | ||||||
\(99\) | −41.9252 | − | 73.1734i | −0.423487 | − | 0.739125i | ||||
\(100\) | 36.0773 | 0.360773 | ||||||||
\(101\) | − | 9.10673i | − | 0.0901657i | −0.998983 | − | 0.0450828i | \(-0.985645\pi\) | ||
0.998983 | − | 0.0450828i | \(-0.0143552\pi\) | |||||||
\(102\) | −79.6192 | + | 21.1931i | −0.780580 | + | 0.207776i | ||||
\(103\) | −79.9841 | −0.776545 | −0.388273 | − | 0.921545i | \(-0.626928\pi\) | ||||
−0.388273 | + | 0.921545i | \(0.626928\pi\) | |||||||
\(104\) | − | 22.8574i | − | 0.219783i | ||||||
\(105\) | 13.2406 | + | 49.7429i | 0.126101 | + | 0.473742i | ||||
\(106\) | −164.175 | −1.54882 | ||||||||
\(107\) | − | 140.356i | − | 1.31174i | −0.754874 | − | 0.655870i | \(-0.772302\pi\) | ||
0.754874 | − | 0.655870i | \(-0.227698\pi\) | |||||||
\(108\) | 40.5777 | − | 40.1779i | 0.375720 | − | 0.372017i | ||||
\(109\) | −5.45958 | −0.0500879 | −0.0250440 | − | 0.999686i | \(-0.507973\pi\) | ||||
−0.0250440 | + | 0.999686i | \(0.507973\pi\) | |||||||
\(110\) | − | 150.272i | − | 1.36611i | ||||||
\(111\) | 190.342 | − | 50.6653i | 1.71479 | − | 0.456444i | ||||
\(112\) | 52.8801 | 0.472143 | ||||||||
\(113\) | 186.367i | 1.64927i | 0.565669 | + | 0.824633i | \(0.308618\pi\) | ||||
−0.565669 | + | 0.824633i | \(0.691382\pi\) | |||||||
\(114\) | −12.1251 | − | 45.5519i | −0.106360 | − | 0.399578i | ||||
\(115\) | 31.1021 | 0.270453 | ||||||||
\(116\) | − | 104.473i | − | 0.900633i | ||||||
\(117\) | 38.2917 | − | 21.9395i | 0.327280 | − | 0.187517i | ||||
\(118\) | −172.153 | −1.45892 | ||||||||
\(119\) | − | 29.3842i | − | 0.246926i | ||||||
\(120\) | −87.6400 | + | 23.3281i | −0.730333 | + | 0.194401i | ||||
\(121\) | 33.1967 | 0.274353 | ||||||||
\(122\) | − | 55.2719i | − | 0.453049i | ||||||
\(123\) | −34.0849 | − | 128.052i | −0.277113 | − | 1.04107i | ||||
\(124\) | 97.5967 | 0.787070 | ||||||||
\(125\) | 51.5040i | 0.412032i | ||||||||
\(126\) | 29.2729 | + | 51.0908i | 0.232324 | + | 0.405483i | ||||
\(127\) | −84.6987 | −0.666919 | −0.333460 | − | 0.942764i | \(-0.608216\pi\) | ||||
−0.333460 | + | 0.942764i | \(0.608216\pi\) | |||||||
\(128\) | 132.602i | 1.03595i | ||||||||
\(129\) | 225.876 | − | 60.1238i | 1.75097 | − | 0.466076i | ||||
\(130\) | 78.6374 | 0.604903 | ||||||||
\(131\) | 47.6742i | 0.363925i | 0.983305 | + | 0.181963i | \(0.0582450\pi\) | ||||
−0.983305 | + | 0.181963i | \(0.941755\pi\) | |||||||
\(132\) | −15.2928 | − | 57.4528i | −0.115855 | − | 0.435248i | ||||
\(133\) | 16.8114 | 0.126401 | ||||||||
\(134\) | − | 211.553i | − | 1.57875i | ||||||
\(135\) | −123.201 | − | 124.427i | −0.912598 | − | 0.921681i | ||||
\(136\) | 51.7709 | 0.380668 | ||||||||
\(137\) | − | 101.027i | − | 0.737424i | −0.929544 | − | 0.368712i | \(-0.879799\pi\) | ||
0.929544 | − | 0.368712i | \(-0.120201\pi\) | |||||||
\(138\) | 34.3809 | − | 9.15153i | 0.249137 | − | 0.0663154i | ||||
\(139\) | −10.1719 | −0.0731794 | −0.0365897 | − | 0.999330i | \(-0.511649\pi\) | ||||
−0.0365897 | + | 0.999330i | \(0.511649\pi\) | |||||||
\(140\) | 36.2889i | 0.259206i | ||||||||
\(141\) | 1.62869 | + | 6.11875i | 0.0115510 | + | 0.0433954i | ||||
\(142\) | 112.258 | 0.790552 | ||||||||
\(143\) | − | 45.9476i | − | 0.321312i | ||||||
\(144\) | −156.078 | + | 89.4258i | −1.08387 | + | 0.621013i | ||||
\(145\) | −320.356 | −2.20935 | ||||||||
\(146\) | 267.552i | 1.83255i | ||||||||
\(147\) | −20.2934 | + | 5.40171i | −0.138050 | + | 0.0367463i | ||||
\(148\) | 138.860 | 0.938241 | ||||||||
\(149\) | 77.8584i | 0.522540i | 0.965266 | + | 0.261270i | \(0.0841412\pi\) | ||||
−0.965266 | + | 0.261270i | \(0.915859\pi\) | |||||||
\(150\) | −32.5510 | − | 122.289i | −0.217007 | − | 0.815260i | ||||
\(151\) | 128.369 | 0.850123 | 0.425061 | − | 0.905164i | \(-0.360252\pi\) | ||||
0.425061 | + | 0.905164i | \(0.360252\pi\) | |||||||
\(152\) | 29.6193i | 0.194864i | ||||||||
\(153\) | 49.6918 | + | 86.7287i | 0.324783 | + | 0.566854i | ||||
\(154\) | 61.3057 | 0.398089 | ||||||||
\(155\) | − | 299.269i | − | 1.93077i | ||||||
\(156\) | 30.0651 | − | 8.00276i | 0.192725 | − | 0.0512998i | ||||
\(157\) | 2.52852 | 0.0161052 | 0.00805262 | − | 0.999968i | \(-0.497437\pi\) | ||||
0.00805262 | + | 0.999968i | \(0.497437\pi\) | |||||||
\(158\) | 106.305i | 0.672814i | ||||||||
\(159\) | 51.2324 | + | 192.472i | 0.322217 | + | 1.21052i | ||||
\(160\) | −199.605 | −1.24753 | ||||||||
\(161\) | 12.6886i | 0.0788110i | ||||||||
\(162\) | −172.800 | − | 101.293i | −1.06667 | − | 0.625266i | ||||
\(163\) | 108.571 | 0.666081 | 0.333041 | − | 0.942912i | \(-0.391925\pi\) | ||||
0.333041 | + | 0.942912i | \(0.391925\pi\) | |||||||
\(164\) | − | 93.4175i | − | 0.569619i | ||||||
\(165\) | −176.172 | + | 46.8937i | −1.06771 | + | 0.284204i | ||||
\(166\) | 354.549 | 2.13584 | ||||||||
\(167\) | − | 116.491i | − | 0.697550i | −0.937207 | − | 0.348775i | \(-0.886598\pi\) | ||
0.937207 | − | 0.348775i | \(-0.113402\pi\) | |||||||
\(168\) | −9.51706 | − | 35.7541i | −0.0566492 | − | 0.212822i | ||||
\(169\) | −144.956 | −0.857725 | ||||||||
\(170\) | 178.109i | 1.04770i | ||||||||
\(171\) | −49.6194 | + | 28.4298i | −0.290172 | + | 0.166256i | ||||
\(172\) | 164.783 | 0.958039 | ||||||||
\(173\) | − | 241.995i | − | 1.39881i | −0.714724 | − | 0.699407i | \(-0.753448\pi\) | ||
0.714724 | − | 0.699407i | \(-0.246552\pi\) | |||||||
\(174\) | −354.127 | + | 94.2619i | −2.03521 | + | 0.541735i | ||||
\(175\) | 45.1319 | 0.257897 | ||||||||
\(176\) | 187.283i | 1.06411i | ||||||||
\(177\) | 53.7218 | + | 201.824i | 0.303513 | + | 1.14025i | ||||
\(178\) | −87.8672 | −0.493636 | ||||||||
\(179\) | 88.2003i | 0.492739i | 0.969176 | + | 0.246370i | \(0.0792377\pi\) | ||||
−0.969176 | + | 0.246370i | \(0.920762\pi\) | |||||||
\(180\) | −61.3684 | − | 107.108i | −0.340935 | − | 0.595045i | ||||
\(181\) | 305.792 | 1.68946 | 0.844729 | − | 0.535194i | \(-0.179761\pi\) | ||||
0.844729 | + | 0.535194i | \(0.179761\pi\) | |||||||
\(182\) | 32.0814i | 0.176271i | ||||||||
\(183\) | −64.7985 | + | 17.2481i | −0.354090 | + | 0.0942521i | ||||
\(184\) | −22.3555 | −0.121497 | ||||||||
\(185\) | − | 425.797i | − | 2.30161i | ||||||
\(186\) | −88.0574 | − | 330.818i | −0.473427 | − | 1.77859i | ||||
\(187\) | 104.069 | 0.556517 | ||||||||
\(188\) | 4.46381i | 0.0237436i | ||||||||
\(189\) | 50.7619 | − | 50.2616i | 0.268581 | − | 0.265935i | ||||
\(190\) | −101.900 | −0.536318 | ||||||||
\(191\) | 108.716i | 0.569193i | 0.958647 | + | 0.284597i | \(0.0918596\pi\) | ||||
−0.958647 | + | 0.284597i | \(0.908140\pi\) | |||||||
\(192\) | 11.1239 | − | 2.96097i | 0.0579370 | − | 0.0154217i | ||||
\(193\) | 126.865 | 0.657334 | 0.328667 | − | 0.944446i | \(-0.393401\pi\) | ||||
0.328667 | + | 0.944446i | \(0.393401\pi\) | |||||||
\(194\) | 191.269i | 0.985925i | ||||||||
\(195\) | −24.5395 | − | 92.1912i | −0.125844 | − | 0.472775i | ||||
\(196\) | −14.8046 | −0.0755337 | ||||||||
\(197\) | 15.3832i | 0.0780872i | 0.999238 | + | 0.0390436i | \(0.0124311\pi\) | ||||
−0.999238 | + | 0.0390436i | \(0.987569\pi\) | |||||||
\(198\) | −180.946 | + | 103.674i | −0.913869 | + | 0.523608i | ||||
\(199\) | −198.522 | −0.997599 | −0.498800 | − | 0.866717i | \(-0.666226\pi\) | ||||
−0.498800 | + | 0.866717i | \(0.666226\pi\) | |||||||
\(200\) | 79.5161i | 0.397580i | ||||||||
\(201\) | −248.016 | + | 66.0171i | −1.23391 | + | 0.328443i | ||||
\(202\) | −22.5195 | −0.111483 | ||||||||
\(203\) | − | 130.694i | − | 0.643813i | ||||||
\(204\) | 18.1258 | + | 68.0958i | 0.0888520 | + | 0.333803i | ||||
\(205\) | −286.454 | −1.39734 | ||||||||
\(206\) | 197.788i | 0.960136i | ||||||||
\(207\) | −21.4577 | − | 37.4508i | −0.103661 | − | 0.180922i | ||||
\(208\) | −98.0055 | −0.471180 | ||||||||
\(209\) | 59.5401i | 0.284881i | ||||||||
\(210\) | 123.006 | − | 32.7419i | 0.585744 | − | 0.155914i | ||||
\(211\) | 197.714 | 0.937034 | 0.468517 | − | 0.883454i | \(-0.344788\pi\) | ||||
0.468517 | + | 0.883454i | \(0.344788\pi\) | |||||||
\(212\) | 140.414i | 0.662331i | ||||||||
\(213\) | −35.0313 | − | 131.607i | −0.164466 | − | 0.617873i | ||||
\(214\) | −347.079 | −1.62186 | ||||||||
\(215\) | − | 505.287i | − | 2.35017i | ||||||
\(216\) | 88.5540 | + | 89.4353i | 0.409972 | + | 0.414052i | ||||
\(217\) | 122.091 | 0.562633 | ||||||||
\(218\) | 13.5007i | 0.0619298i | ||||||||
\(219\) | 313.666 | − | 83.4920i | 1.43227 | − | 0.381242i | ||||
\(220\) | −128.523 | −0.584194 | ||||||||
\(221\) | 54.4593i | 0.246422i | ||||||||
\(222\) | −125.287 | − | 470.684i | −0.564357 | − | 2.12020i | ||||
\(223\) | −175.117 | −0.785277 | −0.392639 | − | 0.919693i | \(-0.628438\pi\) | ||||
−0.392639 | + | 0.919693i | \(0.628438\pi\) | |||||||
\(224\) | − | 81.4320i | − | 0.363536i | ||||||
\(225\) | −133.209 | + | 76.3229i | −0.592038 | + | 0.339213i | ||||
\(226\) | 460.856 | 2.03919 | ||||||||
\(227\) | 134.376i | 0.591964i | 0.955194 | + | 0.295982i | \(0.0956468\pi\) | ||||
−0.955194 | + | 0.295982i | \(0.904353\pi\) | |||||||
\(228\) | −38.9591 | + | 10.3702i | −0.170873 | + | 0.0454833i | ||||
\(229\) | 356.627 | 1.55732 | 0.778661 | − | 0.627445i | \(-0.215899\pi\) | ||||
0.778661 | + | 0.627445i | \(0.215899\pi\) | |||||||
\(230\) | − | 76.9105i | − | 0.334394i | ||||||
\(231\) | −19.1310 | − | 71.8722i | −0.0828182 | − | 0.311135i | ||||
\(232\) | 230.264 | 0.992519 | ||||||||
\(233\) | − | 205.741i | − | 0.883010i | −0.897259 | − | 0.441505i | \(-0.854445\pi\) | ||
0.897259 | − | 0.441505i | \(-0.145555\pi\) | |||||||
\(234\) | −54.2530 | − | 94.6894i | −0.231850 | − | 0.404656i | ||||
\(235\) | 13.6877 | 0.0582457 | ||||||||
\(236\) | 147.237i | 0.623885i | ||||||||
\(237\) | 124.627 | − | 33.1734i | 0.525853 | − | 0.139972i | ||||
\(238\) | −72.6625 | −0.305305 | ||||||||
\(239\) | − | 345.433i | − | 1.44533i | −0.691200 | − | 0.722663i | \(-0.742918\pi\) | ||
0.691200 | − | 0.722663i | \(-0.257082\pi\) | |||||||
\(240\) | 100.024 | + | 375.773i | 0.416765 | + | 1.56572i | ||||
\(241\) | −300.193 | −1.24561 | −0.622807 | − | 0.782376i | \(-0.714008\pi\) | ||||
−0.622807 | + | 0.782376i | \(0.714008\pi\) | |||||||
\(242\) | − | 82.0903i | − | 0.339216i | ||||||
\(243\) | −64.8279 | + | 234.193i | −0.266781 | + | 0.963757i | ||||
\(244\) | −47.2724 | −0.193739 | ||||||||
\(245\) | 45.3966i | 0.185292i | ||||||||
\(246\) | −316.652 | + | 84.2867i | −1.28720 | + | 0.342629i | ||||
\(247\) | −31.1574 | −0.126143 | ||||||||
\(248\) | 215.108i | 0.867371i | ||||||||
\(249\) | −110.640 | − | 415.658i | −0.444339 | − | 1.66931i | ||||
\(250\) | 127.361 | 0.509445 | ||||||||
\(251\) | 55.1019i | 0.219530i | 0.993958 | + | 0.109765i | \(0.0350098\pi\) | ||||
−0.993958 | + | 0.109765i | \(0.964990\pi\) | |||||||
\(252\) | 43.6964 | − | 25.0362i | 0.173398 | − | 0.0993499i | ||||
\(253\) | −44.9386 | −0.177623 | ||||||||
\(254\) | 209.447i | 0.824593i | ||||||||
\(255\) | 208.808 | − | 55.5807i | 0.818855 | − | 0.217964i | ||||
\(256\) | 312.555 | 1.22092 | ||||||||
\(257\) | 66.5990i | 0.259140i | 0.991570 | + | 0.129570i | \(0.0413597\pi\) | ||||
−0.991570 | + | 0.129570i | \(0.958640\pi\) | |||||||
\(258\) | −148.677 | − | 558.554i | −0.576266 | − | 2.16494i | ||||
\(259\) | 173.711 | 0.670697 | ||||||||
\(260\) | − | 67.2562i | − | 0.258678i | ||||||
\(261\) | 221.017 | + | 385.749i | 0.846810 | + | 1.47796i | ||||
\(262\) | 117.891 | 0.449965 | ||||||||
\(263\) | 105.995i | 0.403022i | 0.979486 | + | 0.201511i | \(0.0645852\pi\) | ||||
−0.979486 | + | 0.201511i | \(0.935415\pi\) | |||||||
\(264\) | 126.629 | − | 33.7061i | 0.479654 | − | 0.127675i | ||||
\(265\) | 430.564 | 1.62477 | ||||||||
\(266\) | − | 41.5718i | − | 0.156285i | ||||||
\(267\) | 27.4198 | + | 103.012i | 0.102696 | + | 0.385812i | ||||
\(268\) | −180.935 | −0.675129 | ||||||||
\(269\) | 471.762i | 1.75376i | 0.480706 | + | 0.876882i | \(0.340380\pi\) | ||||
−0.480706 | + | 0.876882i | \(0.659620\pi\) | |||||||
\(270\) | −307.688 | + | 304.656i | −1.13959 | + | 1.12836i | ||||
\(271\) | 377.444 | 1.39278 | 0.696391 | − | 0.717663i | \(-0.254788\pi\) | ||||
0.696391 | + | 0.717663i | \(0.254788\pi\) | |||||||
\(272\) | − | 221.977i | − | 0.816092i | ||||||
\(273\) | 37.6108 | − | 10.0113i | 0.137769 | − | 0.0366714i | ||||
\(274\) | −249.824 | −0.911766 | ||||||||
\(275\) | 159.842i | 0.581243i | ||||||||
\(276\) | −7.82702 | − | 29.4049i | −0.0283588 | − | 0.106539i | ||||
\(277\) | −67.2064 | −0.242622 | −0.121311 | − | 0.992615i | \(-0.538710\pi\) | ||||
−0.121311 | + | 0.992615i | \(0.538710\pi\) | |||||||
\(278\) | 25.1536i | 0.0904805i | ||||||||
\(279\) | −360.358 | + | 206.470i | −1.29160 | + | 0.740034i | ||||
\(280\) | −79.9825 | −0.285652 | ||||||||
\(281\) | 358.562i | 1.27602i | 0.770028 | + | 0.638011i | \(0.220242\pi\) | ||||
−0.770028 | + | 0.638011i | \(0.779758\pi\) | |||||||
\(282\) | 15.1307 | − | 4.02750i | 0.0536550 | − | 0.0142819i | ||||
\(283\) | −221.881 | −0.784031 | −0.392016 | − | 0.919959i | \(-0.628222\pi\) | ||||
−0.392016 | + | 0.919959i | \(0.628222\pi\) | |||||||
\(284\) | − | 96.0111i | − | 0.338067i | ||||||
\(285\) | 31.7990 | + | 119.464i | 0.111575 | + | 0.419171i | ||||
\(286\) | −113.621 | −0.397277 | ||||||||
\(287\) | − | 116.863i | − | 0.407189i | ||||||
\(288\) | 137.710 | + | 240.350i | 0.478160 | + | 0.834547i | ||||
\(289\) | 165.653 | 0.573192 | ||||||||
\(290\) | 792.188i | 2.73168i | ||||||||
\(291\) | 224.236 | − | 59.6874i | 0.770571 | − | 0.205111i | ||||
\(292\) | 228.829 | 0.783660 | ||||||||
\(293\) | − | 211.225i | − | 0.720903i | −0.932778 | − | 0.360452i | \(-0.882623\pi\) | ||
0.932778 | − | 0.360452i | \(-0.117377\pi\) | |||||||
\(294\) | 13.3576 | + | 50.1823i | 0.0454339 | + | 0.170688i | ||||
\(295\) | 451.485 | 1.53046 | ||||||||
\(296\) | 306.054i | 1.03396i | ||||||||
\(297\) | 178.009 | + | 179.781i | 0.599358 | + | 0.605323i | ||||
\(298\) | 192.531 | 0.646079 | ||||||||
\(299\) | − | 23.5164i | − | 0.0786503i | ||||||
\(300\) | −104.590 | + | 27.8399i | −0.348633 | + | 0.0927996i | ||||
\(301\) | 206.140 | 0.684850 | ||||||||
\(302\) | − | 317.435i | − | 1.05111i | ||||||
\(303\) | 7.02742 | + | 26.4009i | 0.0231928 | + | 0.0871317i | ||||
\(304\) | 126.998 | 0.417757 | ||||||||
\(305\) | 144.955i | 0.475263i | ||||||||
\(306\) | 214.466 | − | 122.880i | 0.700870 | − | 0.401569i | ||||
\(307\) | 512.344 | 1.66887 | 0.834437 | − | 0.551103i | \(-0.185793\pi\) | ||||
0.834437 | + | 0.551103i | \(0.185793\pi\) | |||||||
\(308\) | − | 52.4328i | − | 0.170237i | ||||||
\(309\) | 231.878 | − | 61.7216i | 0.750416 | − | 0.199746i | ||||
\(310\) | −740.045 | −2.38724 | ||||||||
\(311\) | − | 341.645i | − | 1.09854i | −0.835646 | − | 0.549269i | \(-0.814906\pi\) | ||
0.835646 | − | 0.549269i | \(-0.185094\pi\) | |||||||
\(312\) | 17.6385 | + | 66.2650i | 0.0565336 | + | 0.212388i | ||||
\(313\) | −303.251 | −0.968853 | −0.484426 | − | 0.874832i | \(-0.660972\pi\) | ||||
−0.484426 | + | 0.874832i | \(0.660972\pi\) | |||||||
\(314\) | − | 6.25264i | − | 0.0199129i | ||||||
\(315\) | −76.7705 | − | 133.990i | −0.243716 | − | 0.425365i | ||||
\(316\) | 90.9191 | 0.287719 | ||||||||
\(317\) | − | 295.965i | − | 0.933644i | −0.884351 | − | 0.466822i | \(-0.845399\pi\) | ||
0.884351 | − | 0.466822i | \(-0.154601\pi\) | |||||||
\(318\) | 475.953 | − | 126.690i | 1.49671 | − | 0.398395i | ||||
\(319\) | 462.873 | 1.45101 | ||||||||
\(320\) | − | 24.8843i | − | 0.0777636i | ||||||
\(321\) | 108.309 | + | 406.901i | 0.337412 | + | 1.26760i | ||||
\(322\) | 31.3768 | 0.0974436 | ||||||||
\(323\) | − | 70.5698i | − | 0.218482i | ||||||
\(324\) | −86.6329 | + | 147.791i | −0.267385 | + | 0.456144i | ||||
\(325\) | −83.6454 | −0.257371 | ||||||||
\(326\) | − | 268.480i | − | 0.823557i | ||||||
\(327\) | 15.8276 | − | 4.21302i | 0.0484026 | − | 0.0128838i | ||||
\(328\) | 205.897 | 0.627734 | ||||||||
\(329\) | 5.58413i | 0.0169730i | ||||||||
\(330\) | 115.961 | + | 435.646i | 0.351396 | + | 1.32014i | ||||
\(331\) | −468.256 | −1.41467 | −0.707336 | − | 0.706877i | \(-0.750103\pi\) | ||||
−0.707336 | + | 0.706877i | \(0.750103\pi\) | |||||||
\(332\) | − | 303.235i | − | 0.913358i | ||||||
\(333\) | −512.714 | + | 293.763i | −1.53968 | + | 0.882171i | ||||
\(334\) | −288.063 | −0.862465 | ||||||||
\(335\) | 554.815i | 1.65616i | ||||||||
\(336\) | −153.302 | + | 40.8061i | −0.456257 | + | 0.121447i | ||||
\(337\) | −447.490 | −1.32786 | −0.663932 | − | 0.747793i | \(-0.731114\pi\) | ||||
−0.663932 | + | 0.747793i | \(0.731114\pi\) | |||||||
\(338\) | 358.452i | 1.06051i | ||||||||
\(339\) | −143.814 | − | 540.288i | −0.424231 | − | 1.59377i | ||||
\(340\) | 152.331 | 0.448034 | ||||||||
\(341\) | 432.406i | 1.26805i | ||||||||
\(342\) | 70.3024 | + | 122.701i | 0.205563 | + | 0.358775i | ||||
\(343\) | −18.5203 | −0.0539949 | ||||||||
\(344\) | 363.189i | 1.05578i | ||||||||
\(345\) | −90.1667 | + | 24.0007i | −0.261353 | + | 0.0695671i | ||||
\(346\) | −598.415 | −1.72952 | ||||||||
\(347\) | − | 445.859i | − | 1.28490i | −0.766329 | − | 0.642448i | \(-0.777919\pi\) | ||
0.766329 | − | 0.642448i | \(-0.222081\pi\) | |||||||
\(348\) | 80.6193 | + | 302.874i | 0.231665 | + | 0.870328i | ||||
\(349\) | 244.524 | 0.700641 | 0.350321 | − | 0.936630i | \(-0.386073\pi\) | ||||
0.350321 | + | 0.936630i | \(0.386073\pi\) | |||||||
\(350\) | − | 111.604i | − | 0.318869i | ||||||
\(351\) | −94.0797 | + | 93.1526i | −0.268033 | + | 0.265392i | ||||
\(352\) | 288.404 | 0.819329 | ||||||||
\(353\) | − | 462.070i | − | 1.30898i | −0.756070 | − | 0.654490i | \(-0.772883\pi\) | ||
0.756070 | − | 0.654490i | \(-0.227117\pi\) | |||||||
\(354\) | 499.080 | − | 132.846i | 1.40983 | − | 0.375270i | ||||
\(355\) | −294.407 | −0.829316 | ||||||||
\(356\) | 75.1501i | 0.211096i | ||||||||
\(357\) | 22.6750 | + | 85.1864i | 0.0635154 | + | 0.238617i | ||||
\(358\) | 218.105 | 0.609233 | ||||||||
\(359\) | 126.693i | 0.352906i | 0.984309 | + | 0.176453i | \(0.0564624\pi\) | ||||
−0.984309 | + | 0.176453i | \(0.943538\pi\) | |||||||
\(360\) | 236.072 | − | 135.259i | 0.655754 | − | 0.375719i | ||||
\(361\) | −320.625 | −0.888159 | ||||||||
\(362\) | − | 756.175i | − | 2.08888i | ||||||
\(363\) | −96.2392 | + | 25.6170i | −0.265122 | + | 0.0705703i | ||||
\(364\) | 27.4382 | 0.0753796 | ||||||||
\(365\) | − | 701.677i | − | 1.92240i | ||||||
\(366\) | 42.6519 | + | 160.236i | 0.116535 | + | 0.437804i | ||||
\(367\) | 76.1305 | 0.207440 | 0.103720 | − | 0.994607i | \(-0.466925\pi\) | ||||
0.103720 | + | 0.994607i | \(0.466925\pi\) | |||||||
\(368\) | 95.8533i | 0.260471i | ||||||||
\(369\) | 197.628 | + | 344.927i | 0.535578 | + | 0.934761i | ||||
\(370\) | −1052.93 | −2.84575 | ||||||||
\(371\) | 175.655i | 0.473464i | ||||||||
\(372\) | −282.938 | + | 75.3128i | −0.760587 | + | 0.202454i | ||||
\(373\) | −61.9538 | −0.166096 | −0.0830480 | − | 0.996546i | \(-0.526465\pi\) | ||||
−0.0830480 | + | 0.996546i | \(0.526465\pi\) | |||||||
\(374\) | − | 257.346i | − | 0.688090i | ||||||
\(375\) | −39.7443 | − | 149.313i | −0.105985 | − | 0.398168i | ||||
\(376\) | −9.83845 | −0.0261661 | ||||||||
\(377\) | 242.222i | 0.642499i | ||||||||
\(378\) | −124.289 | − | 125.526i | −0.328807 | − | 0.332079i | ||||
\(379\) | −297.702 | −0.785493 | −0.392746 | − | 0.919647i | \(-0.628475\pi\) | ||||
−0.392746 | + | 0.919647i | \(0.628475\pi\) | |||||||
\(380\) | 87.1523i | 0.229348i | ||||||||
\(381\) | 245.546 | − | 65.3597i | 0.644478 | − | 0.171548i | ||||
\(382\) | 268.837 | 0.703762 | ||||||||
\(383\) | 152.685i | 0.398655i | 0.979933 | + | 0.199327i | \(0.0638757\pi\) | ||||
−0.979933 | + | 0.199327i | \(0.936124\pi\) | |||||||
\(384\) | −102.325 | − | 384.421i | −0.266473 | − | 1.00110i | ||||
\(385\) | −160.779 | −0.417608 | ||||||||
\(386\) | − | 313.718i | − | 0.812741i | ||||||
\(387\) | −608.430 | + | 348.604i | −1.57217 | + | 0.900786i | ||||
\(388\) | 163.587 | 0.421615 | ||||||||
\(389\) | − | 16.6356i | − | 0.0427649i | −0.999771 | − | 0.0213825i | \(-0.993193\pi\) | ||
0.999771 | − | 0.0213825i | \(-0.00680677\pi\) | |||||||
\(390\) | −227.974 | + | 60.6824i | −0.584549 | + | 0.155596i | ||||
\(391\) | 53.2634 | 0.136224 | ||||||||
\(392\) | − | 32.6301i | − | 0.0832400i | ||||||
\(393\) | −36.7889 | − | 138.210i | −0.0936104 | − | 0.351680i | ||||
\(394\) | 38.0402 | 0.0965487 | ||||||||
\(395\) | − | 278.793i | − | 0.705805i | ||||||
\(396\) | 88.6695 | + | 154.758i | 0.223913 | + | 0.390802i | ||||
\(397\) | −331.880 | −0.835969 | −0.417985 | − | 0.908454i | \(-0.637263\pi\) | ||||
−0.417985 | + | 0.908454i | \(0.637263\pi\) | |||||||
\(398\) | 490.914i | 1.23345i | ||||||||
\(399\) | −48.7371 | + | 12.9729i | −0.122148 | + | 0.0325135i | ||||
\(400\) | 340.940 | 0.852350 | ||||||||
\(401\) | 473.095i | 1.17979i | 0.807481 | + | 0.589894i | \(0.200830\pi\) | ||||
−0.807481 | + | 0.589894i | \(0.799170\pi\) | |||||||
\(402\) | 163.250 | + | 613.304i | 0.406094 | + | 1.52563i | ||||
\(403\) | −226.279 | −0.561486 | ||||||||
\(404\) | 19.2602i | 0.0476739i | ||||||||
\(405\) | 453.183 | + | 265.650i | 1.11897 | + | 0.655925i | ||||
\(406\) | −323.185 | −0.796023 | ||||||||
\(407\) | 615.223i | 1.51160i | ||||||||
\(408\) | −150.087 | + | 39.9502i | −0.367859 | + | 0.0979171i | ||||
\(409\) | 414.368 | 1.01312 | 0.506562 | − | 0.862204i | \(-0.330916\pi\) | ||||
0.506562 | + | 0.862204i | \(0.330916\pi\) | |||||||
\(410\) | 708.355i | 1.72770i | ||||||||
\(411\) | 77.9599 | + | 292.883i | 0.189683 | + | 0.712611i | ||||
\(412\) | 169.162 | 0.410588 | ||||||||
\(413\) | 184.190i | 0.445981i | ||||||||
\(414\) | −92.6100 | + | 53.0616i | −0.223696 | + | 0.128168i | ||||
\(415\) | −929.834 | −2.24056 | ||||||||
\(416\) | 150.922i | 0.362794i | ||||||||
\(417\) | 29.4890 | − | 7.84941i | 0.0707171 | − | 0.0188235i | ||||
\(418\) | 147.233 | 0.352232 | ||||||||
\(419\) | − | 128.102i | − | 0.305733i | −0.988247 | − | 0.152866i | \(-0.951150\pi\) | ||
0.988247 | − | 0.152866i | \(-0.0488504\pi\) | |||||||
\(420\) | −28.0032 | − | 105.204i | −0.0666742 | − | 0.250485i | ||||
\(421\) | 728.059 | 1.72936 | 0.864678 | − | 0.502327i | \(-0.167523\pi\) | ||||
0.864678 | + | 0.502327i | \(0.167523\pi\) | |||||||
\(422\) | − | 488.916i | − | 1.15857i | ||||||
\(423\) | −9.44335 | − | 16.4818i | −0.0223247 | − | 0.0389640i | ||||
\(424\) | −309.480 | −0.729905 | ||||||||
\(425\) | − | 189.452i | − | 0.445770i | ||||||
\(426\) | −325.443 | + | 86.6268i | −0.763951 | + | 0.203349i | ||||
\(427\) | −59.1367 | −0.138494 | ||||||||
\(428\) | 296.846i | 0.693565i | ||||||||
\(429\) | 35.4565 | + | 133.205i | 0.0826493 | + | 0.310500i | ||||
\(430\) | −1249.50 | −2.90580 | ||||||||
\(431\) | − | 166.062i | − | 0.385295i | −0.981268 | − | 0.192648i | \(-0.938293\pi\) | ||
0.981268 | − | 0.192648i | \(-0.0617075\pi\) | |||||||
\(432\) | 383.470 | − | 379.691i | 0.887662 | − | 0.878915i | ||||
\(433\) | −797.847 | −1.84260 | −0.921301 | − | 0.388850i | \(-0.872872\pi\) | ||||
−0.921301 | + | 0.388850i | \(0.872872\pi\) | |||||||
\(434\) | − | 301.913i | − | 0.695652i | ||||||
\(435\) | 928.728 | − | 247.210i | 2.13501 | − | 0.568298i | ||||
\(436\) | 11.5467 | 0.0264833 | ||||||||
\(437\) | 30.4732i | 0.0697327i | ||||||||
\(438\) | −206.462 | − | 775.647i | −0.471376 | − | 1.77088i | ||||
\(439\) | 255.993 | 0.583128 | 0.291564 | − | 0.956551i | \(-0.405824\pi\) | ||||
0.291564 | + | 0.956551i | \(0.405824\pi\) | |||||||
\(440\) | − | 283.270i | − | 0.643797i | ||||||
\(441\) | 54.6633 | − | 31.3197i | 0.123953 | − | 0.0710198i | ||||
\(442\) | 134.669 | 0.304682 | ||||||||
\(443\) | 31.4921i | 0.0710884i | 0.999368 | + | 0.0355442i | \(0.0113164\pi\) | ||||
−0.999368 | + | 0.0355442i | \(0.988684\pi\) | |||||||
\(444\) | −402.562 | + | 107.154i | −0.906671 | + | 0.241339i | ||||
\(445\) | 230.439 | 0.517840 | ||||||||
\(446\) | 433.036i | 0.970933i | ||||||||
\(447\) | −60.0812 | − | 225.716i | −0.134410 | − | 0.504957i | ||||
\(448\) | 10.1520 | 0.0226606 | ||||||||
\(449\) | 244.886i | 0.545404i | 0.962099 | + | 0.272702i | \(0.0879173\pi\) | ||||
−0.962099 | + | 0.272702i | \(0.912083\pi\) | |||||||
\(450\) | 188.734 | + | 329.404i | 0.419410 | + | 0.732009i | ||||
\(451\) | 413.889 | 0.917715 | ||||||||
\(452\) | − | 394.156i | − | 0.872026i | ||||||
\(453\) | −372.148 | + | 99.0586i | −0.821518 | + | 0.218672i | ||||
\(454\) | 332.290 | 0.731916 | ||||||||
\(455\) | − | 84.1360i | − | 0.184914i | ||||||
\(456\) | −22.8564 | − | 85.8679i | −0.0501237 | − | 0.188307i | ||||
\(457\) | −744.424 | −1.62894 | −0.814468 | − | 0.580208i | \(-0.802971\pi\) | ||||
−0.814468 | + | 0.580208i | \(0.802971\pi\) | |||||||
\(458\) | − | 881.881i | − | 1.92551i | ||||||
\(459\) | −210.986 | − | 213.085i | −0.459663 | − | 0.464238i | ||||
\(460\) | −65.7792 | −0.142998 | ||||||||
\(461\) | − | 29.0619i | − | 0.0630409i | −0.999503 | − | 0.0315205i | \(-0.989965\pi\) | ||
0.999503 | − | 0.0315205i | \(-0.0100349\pi\) | |||||||
\(462\) | −177.729 | + | 47.3079i | −0.384694 | + | 0.102398i | ||||
\(463\) | 573.741 | 1.23918 | 0.619590 | − | 0.784925i | \(-0.287299\pi\) | ||||
0.619590 | + | 0.784925i | \(0.287299\pi\) | |||||||
\(464\) | − | 987.301i | − | 2.12780i | ||||||
\(465\) | 230.938 | + | 867.598i | 0.496641 | + | 1.86580i | ||||
\(466\) | −508.766 | −1.09177 | ||||||||
\(467\) | − | 503.322i | − | 1.07778i | −0.842377 | − | 0.538889i | \(-0.818844\pi\) | ||
0.842377 | − | 0.538889i | \(-0.181156\pi\) | |||||||
\(468\) | −80.9849 | + | 46.4009i | −0.173045 | + | 0.0991472i | ||||
\(469\) | −226.345 | −0.482613 | ||||||||
\(470\) | − | 33.8476i | − | 0.0720162i | ||||||
\(471\) | −7.33033 | + | 1.95119i | −0.0155633 | + | 0.00414266i | ||||
\(472\) | −324.517 | −0.687536 | ||||||||
\(473\) | 730.076i | 1.54350i | ||||||||
\(474\) | −82.0325 | − | 308.183i | −0.173064 | − | 0.650175i | ||||
\(475\) | 108.390 | 0.228189 | ||||||||
\(476\) | 62.1460i | 0.130559i | ||||||||
\(477\) | −297.051 | − | 518.453i | −0.622749 | − | 1.08690i | ||||
\(478\) | −854.201 | −1.78703 | ||||||||
\(479\) | 376.752i | 0.786538i | 0.919423 | + | 0.393269i | \(0.128656\pi\) | ||||
−0.919423 | + | 0.393269i | \(0.871344\pi\) | |||||||
\(480\) | 578.666 | − | 154.030i | 1.20555 | − | 0.320896i | ||||
\(481\) | −321.947 | −0.669329 | ||||||||
\(482\) | 742.330i | 1.54010i | ||||||||
\(483\) | −9.79144 | − | 36.7849i | −0.0202721 | − | 0.0761592i | ||||
\(484\) | −70.2093 | −0.145060 | ||||||||
\(485\) | − | 501.620i | − | 1.03427i | ||||||
\(486\) | 579.122 | + | 160.309i | 1.19161 | + | 0.329854i | ||||
\(487\) | 578.691 | 1.18828 | 0.594139 | − | 0.804363i | \(-0.297493\pi\) | ||||
0.594139 | + | 0.804363i | \(0.297493\pi\) | |||||||
\(488\) | − | 104.191i | − | 0.213505i | ||||||
\(489\) | −314.754 | + | 83.7816i | −0.643669 | + | 0.171332i | ||||
\(490\) | 112.259 | 0.229099 | ||||||||
\(491\) | − | 757.202i | − | 1.54216i | −0.636736 | − | 0.771082i | \(-0.719716\pi\) | ||
0.636736 | − | 0.771082i | \(-0.280284\pi\) | |||||||
\(492\) | 72.0878 | + | 270.822i | 0.146520 | + | 0.550452i | ||||
\(493\) | −548.620 | −1.11282 | ||||||||
\(494\) | 77.0473i | 0.155966i | ||||||||
\(495\) | 474.546 | − | 271.895i | 0.958680 | − | 0.549282i | ||||
\(496\) | 922.315 | 1.85951 | ||||||||
\(497\) | − | 120.108i | − | 0.241666i | ||||||
\(498\) | −1027.86 | + | 273.596i | −2.06397 | + | 0.549390i | ||||
\(499\) | 107.228 | 0.214885 | 0.107443 | − | 0.994211i | \(-0.465734\pi\) | ||||
0.107443 | + | 0.994211i | \(0.465734\pi\) | |||||||
\(500\) | − | 108.928i | − | 0.217856i | ||||||
\(501\) | 89.8929 | + | 337.713i | 0.179427 | + | 0.674078i | ||||
\(502\) | 136.258 | 0.271431 | ||||||||
\(503\) | 460.261i | 0.915032i | 0.889201 | + | 0.457516i | \(0.151261\pi\) | ||||
−0.889201 | + | 0.457516i | \(0.848739\pi\) | |||||||
\(504\) | 55.1810 | + | 96.3090i | 0.109486 | + | 0.191089i | ||||
\(505\) | 59.0593 | 0.116949 | ||||||||
\(506\) | 111.126i | 0.219617i | ||||||||
\(507\) | 420.234 | − | 111.858i | 0.828864 | − | 0.220628i | ||||
\(508\) | 179.133 | 0.352624 | ||||||||
\(509\) | 166.878i | 0.327854i | 0.986472 | + | 0.163927i | \(0.0524162\pi\) | ||||
−0.986472 | + | 0.163927i | \(0.947584\pi\) | |||||||
\(510\) | −137.442 | − | 516.349i | −0.269495 | − | 1.01245i | ||||
\(511\) | 286.260 | 0.560195 | ||||||||
\(512\) | − | 242.492i | − | 0.473617i | ||||||
\(513\) | 121.911 | − | 120.710i | 0.237643 | − | 0.235301i | ||||
\(514\) | 164.689 | 0.320406 | ||||||||
\(515\) | − | 518.716i | − | 1.00722i | ||||||
\(516\) | −477.714 | + | 127.158i | −0.925803 | + | 0.246431i | ||||
\(517\) | −19.7771 | −0.0382535 | ||||||||
\(518\) | − | 429.559i | − | 0.829264i | ||||||
\(519\) | 186.741 | + | 701.556i | 0.359809 | + | 1.35175i | ||||
\(520\) | 148.236 | 0.285069 | ||||||||
\(521\) | 450.149i | 0.864010i | 0.901871 | + | 0.432005i | \(0.142194\pi\) | ||||
−0.901871 | + | 0.432005i | \(0.857806\pi\) | |||||||
\(522\) | 953.895 | − | 546.541i | 1.82738 | − | 1.04701i | ||||
\(523\) | −1041.91 | −1.99218 | −0.996089 | − | 0.0883611i | \(-0.971837\pi\) | ||||
−0.996089 | + | 0.0883611i | \(0.971837\pi\) | |||||||
\(524\) | − | 100.828i | − | 0.192420i | ||||||
\(525\) | −130.840 | + | 34.8271i | −0.249219 | + | 0.0663373i | ||||
\(526\) | 262.108 | 0.498305 | ||||||||
\(527\) | − | 512.509i | − | 0.972502i | ||||||
\(528\) | −144.521 | − | 542.944i | −0.273715 | − | 1.02830i | ||||
\(529\) | −23.0000 | −0.0434783 | ||||||||
\(530\) | − | 1064.72i | − | 2.00890i | ||||||
\(531\) | −311.485 | − | 543.644i | −0.586601 | − | 1.02381i | ||||
\(532\) | −35.5551 | −0.0668329 | ||||||||
\(533\) | 216.589i | 0.406358i | ||||||||
\(534\) | 254.732 | − | 67.8047i | 0.477026 | − | 0.126975i | ||||
\(535\) | 910.243 | 1.70139 | ||||||||
\(536\) | − | 398.789i | − | 0.744009i | ||||||
\(537\) | −68.0618 | − | 255.698i | −0.126745 | − | 0.476159i | ||||
\(538\) | 1166.59 | 2.16839 | ||||||||
\(539\) | − | 65.5924i | − | 0.121693i | ||||||
\(540\) | 260.563 | + | 263.156i | 0.482524 | + | 0.487326i | ||||
\(541\) | 834.844 | 1.54315 | 0.771575 | − | 0.636139i | \(-0.219469\pi\) | ||||
0.771575 | + | 0.636139i | \(0.219469\pi\) | |||||||
\(542\) | − | 933.359i | − | 1.72206i | ||||||
\(543\) | −886.508 | + | 235.972i | −1.63261 | + | 0.434570i | ||||
\(544\) | −341.831 | −0.628365 | ||||||||
\(545\) | − | 35.4067i | − | 0.0649664i | ||||||
\(546\) | −24.7563 | − | 93.0056i | −0.0453413 | − | 0.170340i | ||||
\(547\) | 694.609 | 1.26985 | 0.634926 | − | 0.772573i | \(-0.281031\pi\) | ||||
0.634926 | + | 0.772573i | \(0.281031\pi\) | |||||||
\(548\) | 213.667i | 0.389903i | ||||||||
\(549\) | 174.544 | − | 100.007i | 0.317932 | − | 0.182161i | ||||
\(550\) | 395.263 | 0.718660 | ||||||||
\(551\) | − | 313.878i | − | 0.569651i | ||||||
\(552\) | 64.8098 | − | 17.2511i | 0.117409 | − | 0.0312521i | ||||
\(553\) | 113.738 | 0.205674 | ||||||||
\(554\) | 166.191i | 0.299983i | ||||||||
\(555\) | 328.576 | + | 1234.41i | 0.592029 | + | 2.22416i | ||||
\(556\) | 21.5131 | 0.0386926 | ||||||||
\(557\) | − | 246.580i | − | 0.442693i | −0.975195 | − | 0.221346i | \(-0.928955\pi\) | ||
0.975195 | − | 0.221346i | \(-0.0710451\pi\) | |||||||
\(558\) | 510.567 | + | 891.108i | 0.914994 | + | 1.59697i | ||||
\(559\) | −382.050 | −0.683453 | ||||||||
\(560\) | 342.940i | 0.612392i | ||||||||
\(561\) | −301.701 | + | 80.3071i | −0.537791 | + | 0.143150i | ||||
\(562\) | 886.667 | 1.57770 | ||||||||
\(563\) | 797.047i | 1.41571i | 0.706356 | + | 0.707857i | \(0.250338\pi\) | ||||
−0.706356 | + | 0.707857i | \(0.749662\pi\) | |||||||
\(564\) | −3.44460 | − | 12.9408i | −0.00610745 | − | 0.0229447i | ||||
\(565\) | −1208.63 | −2.13917 | ||||||||
\(566\) | 548.676i | 0.969393i | ||||||||
\(567\) | −108.376 | + | 184.883i | −0.191139 | + | 0.326072i | ||||
\(568\) | 211.613 | 0.372559 | ||||||||
\(569\) | 72.7169i | 0.127798i | 0.997956 | + | 0.0638989i | \(0.0203535\pi\) | ||||
−0.997956 | + | 0.0638989i | \(0.979646\pi\) | |||||||
\(570\) | 295.415 | − | 78.6338i | 0.518272 | − | 0.137954i | ||||
\(571\) | 160.628 | 0.281310 | 0.140655 | − | 0.990059i | \(-0.455079\pi\) | ||||
0.140655 | + | 0.990059i | \(0.455079\pi\) | |||||||
\(572\) | 97.1766i | 0.169889i | ||||||||
\(573\) | −83.8931 | − | 315.173i | −0.146410 | − | 0.550041i | ||||
\(574\) | −288.984 | −0.503457 | ||||||||
\(575\) | 81.8085i | 0.142276i | ||||||||
\(576\) | −29.9639 | + | 17.1680i | −0.0520207 | + | 0.0298056i | ||||
\(577\) | 206.558 | 0.357987 | 0.178993 | − | 0.983850i | \(-0.442716\pi\) | ||||
0.178993 | + | 0.983850i | \(0.442716\pi\) | |||||||
\(578\) | − | 409.633i | − | 0.708707i | ||||||
\(579\) | −367.790 | + | 97.8987i | −0.635216 | + | 0.169082i | ||||
\(580\) | 677.534 | 1.16816 | ||||||||
\(581\) | − | 379.340i | − | 0.652909i | ||||||
\(582\) | −147.597 | − | 554.500i | −0.253604 | − | 0.952750i | ||||
\(583\) | −622.110 | −1.06708 | ||||||||
\(584\) | 504.350i | 0.863612i | ||||||||
\(585\) | 142.283 | + | 248.331i | 0.243219 | + | 0.424497i | ||||
\(586\) | −522.325 | −0.891340 | ||||||||
\(587\) | 66.4275i | 0.113164i | 0.998398 | + | 0.0565822i | \(0.0180203\pi\) | ||||
−0.998398 | + | 0.0565822i | \(0.981980\pi\) | |||||||
\(588\) | 42.9194 | − | 11.4243i | 0.0729922 | − | 0.0194291i | ||||
\(589\) | 293.218 | 0.497823 | ||||||||
\(590\) | − | 1116.45i | − | 1.89229i | ||||||
\(591\) | −11.8708 | − | 44.5967i | −0.0200859 | − | 0.0754597i | ||||
\(592\) | 1312.26 | 2.21666 | ||||||||
\(593\) | 127.083i | 0.214305i | 0.994243 | + | 0.107153i | \(0.0341734\pi\) | ||||
−0.994243 | + | 0.107153i | \(0.965827\pi\) | |||||||
\(594\) | 444.570 | − | 440.189i | 0.748434 | − | 0.741059i | ||||
\(595\) | 190.563 | 0.320275 | ||||||||
\(596\) | − | 164.666i | − | 0.276286i | ||||||
\(597\) | 575.527 | − | 153.194i | 0.964032 | − | 0.256607i | ||||
\(598\) | −58.1524 | −0.0972448 | ||||||||
\(599\) | − | 108.791i | − | 0.181621i | −0.995868 | − | 0.0908106i | \(-0.971054\pi\) | ||
0.995868 | − | 0.0908106i | \(-0.0289458\pi\) | |||||||
\(600\) | −61.3605 | − | 230.522i | −0.102267 | − | 0.384203i | ||||
\(601\) | −926.924 | −1.54230 | −0.771152 | − | 0.636652i | \(-0.780319\pi\) | ||||
−0.771152 | + | 0.636652i | \(0.780319\pi\) | |||||||
\(602\) | − | 509.751i | − | 0.846762i | ||||||
\(603\) | 668.068 | − | 382.774i | 1.10791 | − | 0.634783i | ||||
\(604\) | −271.492 | −0.449491 | ||||||||
\(605\) | 215.289i | 0.355849i | ||||||||
\(606\) | 65.2853 | − | 17.3777i | 0.107731 | − | 0.0286761i | ||||
\(607\) | −18.9826 | −0.0312728 | −0.0156364 | − | 0.999878i | \(-0.504977\pi\) | ||||
−0.0156364 | + | 0.999878i | \(0.504977\pi\) | |||||||
\(608\) | − | 195.569i | − | 0.321659i | ||||||
\(609\) | 100.853 | + | 378.889i | 0.165604 | + | 0.622150i | ||||
\(610\) | 358.451 | 0.587625 | ||||||||
\(611\) | − | 10.3494i | − | 0.0169384i | ||||||
\(612\) | −105.095 | − | 183.426i | −0.171725 | − | 0.299716i | ||||
\(613\) | −486.235 | −0.793206 | −0.396603 | − | 0.917990i | \(-0.629811\pi\) | ||||
−0.396603 | + | 0.917990i | \(0.629811\pi\) | |||||||
\(614\) | − | 1266.95i | − | 2.06343i | ||||||
\(615\) | 830.446 | − | 221.049i | 1.35032 | − | 0.359429i | ||||
\(616\) | 115.565 | 0.187605 | ||||||||
\(617\) | 644.372i | 1.04436i | 0.852835 | + | 0.522181i | \(0.174882\pi\) | ||||
−0.852835 | + | 0.522181i | \(0.825118\pi\) | |||||||
\(618\) | −152.628 | − | 573.399i | −0.246971 | − | 0.927830i | ||||
\(619\) | 822.044 | 1.32802 | 0.664010 | − | 0.747724i | \(-0.268853\pi\) | ||||
0.664010 | + | 0.747724i | \(0.268853\pi\) | |||||||
\(620\) | 632.938i | 1.02087i | ||||||||
\(621\) | 91.1070 | + | 92.0137i | 0.146710 | + | 0.148170i | ||||
\(622\) | −844.834 | −1.35825 | ||||||||
\(623\) | 94.0111i | 0.150901i | ||||||||
\(624\) | 284.123 | − | 75.6282i | 0.455326 | − | 0.121199i | ||||
\(625\) | −760.472 | −1.21676 | ||||||||
\(626\) | 749.891i | 1.19791i | ||||||||
\(627\) | −45.9455 | − | 172.610i | −0.0732783 | − | 0.275295i | ||||
\(628\) | −5.34769 | −0.00851543 | ||||||||
\(629\) | − | 729.192i | − | 1.15929i | ||||||
\(630\) | −331.336 | + | 189.841i | −0.525930 | + | 0.301336i | ||||
\(631\) | −106.688 | −0.169077 | −0.0845387 | − | 0.996420i | \(-0.526942\pi\) | ||||
−0.0845387 | + | 0.996420i | \(0.526942\pi\) | |||||||
\(632\) | 200.390i | 0.317073i | ||||||||
\(633\) | −573.184 | + | 152.571i | −0.905505 | + | 0.241028i | ||||
\(634\) | −731.875 | −1.15438 | ||||||||
\(635\) | − | 549.291i | − | 0.865025i | ||||||
\(636\) | −108.354 | − | 407.068i | −0.170368 | − | 0.640044i | ||||
\(637\) | 34.3246 | 0.0538848 | ||||||||
\(638\) | − | 1144.61i | − | 1.79406i | ||||||
\(639\) | 203.115 | + | 354.503i | 0.317864 | + | 0.554778i | ||||
\(640\) | −859.955 | −1.34368 | ||||||||
\(641\) | − | 1009.45i | − | 1.57481i | −0.616435 | − | 0.787406i | \(-0.711424\pi\) | ||
0.616435 | − | 0.787406i | \(-0.288576\pi\) | |||||||
\(642\) | 1006.20 | − | 267.831i | 1.56729 | − | 0.417183i | ||||
\(643\) | 286.431 | 0.445460 | 0.222730 | − | 0.974880i | \(-0.428503\pi\) | ||||
0.222730 | + | 0.974880i | \(0.428503\pi\) | |||||||
\(644\) | − | 26.8356i | − | 0.0416703i | ||||||
\(645\) | 389.917 | + | 1464.86i | 0.604522 | + | 2.27109i | ||||
\(646\) | −174.508 | −0.270136 | ||||||||
\(647\) | − | 445.032i | − | 0.687840i | −0.938999 | − | 0.343920i | \(-0.888245\pi\) | ||
0.938999 | − | 0.343920i | \(-0.111755\pi\) | |||||||
\(648\) | −325.738 | − | 190.943i | −0.502682 | − | 0.294665i | ||||
\(649\) | −652.338 | −1.00514 | ||||||||
\(650\) | 206.842i | 0.318218i | ||||||||
\(651\) | −353.950 | + | 94.2147i | −0.543702 | + | 0.144723i | ||||
\(652\) | −229.622 | −0.352181 | ||||||||
\(653\) | 393.889i | 0.603199i | 0.953435 | + | 0.301600i | \(0.0975206\pi\) | ||||
−0.953435 | + | 0.301600i | \(0.902479\pi\) | |||||||
\(654\) | −10.4181 | − | 39.1392i | −0.0159298 | − | 0.0598459i | ||||
\(655\) | −309.178 | −0.472028 | ||||||||
\(656\) | − | 882.820i | − | 1.34576i | ||||||
\(657\) | −844.907 | + | 484.096i | −1.28601 | + | 0.736828i | ||||
\(658\) | 13.8087 | 0.0209858 | ||||||||
\(659\) | − | 418.827i | − | 0.635549i | −0.948166 | − | 0.317774i | \(-0.897065\pi\) | ||
0.948166 | − | 0.317774i | \(-0.102935\pi\) | |||||||
\(660\) | 372.595 | − | 99.1776i | 0.564537 | − | 0.150269i | ||||
\(661\) | 702.800 | 1.06324 | 0.531619 | − | 0.846984i | \(-0.321584\pi\) | ||||
0.531619 | + | 0.846984i | \(0.321584\pi\) | |||||||
\(662\) | 1157.92i | 1.74913i | ||||||||
\(663\) | −42.0248 | − | 157.881i | −0.0633859 | − | 0.238131i | ||||
\(664\) | 668.344 | 1.00654 | ||||||||
\(665\) | 109.026i | 0.163948i | ||||||||
\(666\) | 726.429 | + | 1267.86i | 1.09073 | + | 1.90369i | ||||
\(667\) | 236.903 | 0.355177 | ||||||||
\(668\) | 246.372i | 0.368820i | ||||||||
\(669\) | 507.673 | − | 135.133i | 0.758854 | − | 0.201992i | ||||
\(670\) | 1371.97 | 2.04772 | ||||||||
\(671\) | − | 209.442i | − | 0.312134i | ||||||
\(672\) | 62.8389 | + | 236.076i | 0.0935102 | + | 0.351303i | ||||
\(673\) | 149.524 | 0.222175 | 0.111088 | − | 0.993811i | \(-0.464567\pi\) | ||||
0.111088 | + | 0.993811i | \(0.464567\pi\) | |||||||
\(674\) | 1106.57i | 1.64180i | ||||||||
\(675\) | 327.283 | − | 324.058i | 0.484864 | − | 0.480086i | ||||
\(676\) | 306.573 | 0.453510 | ||||||||
\(677\) | 570.278i | 0.842361i | 0.906977 | + | 0.421180i | \(0.138384\pi\) | ||||
−0.906977 | + | 0.421180i | \(0.861616\pi\) | |||||||
\(678\) | −1336.05 | + | 355.630i | −1.97057 | + | 0.524528i | ||||
\(679\) | 204.644 | 0.301390 | ||||||||
\(680\) | 335.746i | 0.493744i | ||||||||
\(681\) | −103.694 | − | 389.563i | −0.152268 | − | 0.572045i | ||||
\(682\) | 1069.27 | 1.56785 | ||||||||
\(683\) | 434.547i | 0.636232i | 0.948052 | + | 0.318116i | \(0.103050\pi\) | ||||
−0.948052 | + | 0.318116i | \(0.896950\pi\) | |||||||
\(684\) | 104.942 | − | 60.1275i | 0.153424 | − | 0.0879056i | ||||
\(685\) | 655.184 | 0.956473 | ||||||||
\(686\) | 45.7977i | 0.0667604i | ||||||||
\(687\) | −1033.88 | + | 275.199i | −1.50492 | + | 0.400581i | ||||
\(688\) | 1557.24 | 2.26343 | ||||||||
\(689\) | − | 325.551i | − | 0.472498i | ||||||
\(690\) | 59.3498 | + | 222.968i | 0.0860142 | + | 0.323142i | ||||
\(691\) | −789.343 | −1.14232 | −0.571160 | − | 0.820839i | \(-0.693506\pi\) | ||||
−0.571160 | + | 0.820839i | \(0.693506\pi\) | |||||||
\(692\) | 511.805i | 0.739603i | ||||||||
\(693\) | 110.924 | + | 193.599i | 0.160063 | + | 0.279363i | ||||
\(694\) | −1102.54 | −1.58867 | ||||||||
\(695\) | − | 65.9674i | − | 0.0949171i | ||||||
\(696\) | −667.549 | + | 177.689i | −0.959123 | + | 0.255300i | ||||
\(697\) | −490.562 | −0.703819 | ||||||||
\(698\) | − | 604.669i | − | 0.866287i | ||||||
\(699\) | 158.765 | + | 596.456i | 0.227132 | + | 0.853299i | ||||
\(700\) | −95.4515 | −0.136359 | ||||||||
\(701\) | − | 1045.78i | − | 1.49184i | −0.666035 | − | 0.745921i | \(-0.732010\pi\) | ||
0.666035 | − | 0.745921i | \(-0.267990\pi\) | |||||||
\(702\) | 230.352 | + | 232.644i | 0.328136 | + | 0.331402i | ||||
\(703\) | 417.187 | 0.593439 | ||||||||
\(704\) | 35.9547i | 0.0510720i | ||||||||
\(705\) | −39.6815 | + | 10.5625i | −0.0562859 | + | 0.0149822i | ||||
\(706\) | −1142.63 | −1.61845 | ||||||||
\(707\) | 24.0941i | 0.0340794i | ||||||||
\(708\) | −113.619 | − | 426.847i | −0.160478 | − | 0.602892i | ||||
\(709\) | −16.3184 | −0.0230161 | −0.0115081 | − | 0.999934i | \(-0.503663\pi\) | ||||
−0.0115081 | + | 0.999934i | \(0.503663\pi\) | |||||||
\(710\) | 728.022i | 1.02538i | ||||||||
\(711\) | −335.702 | + | 192.343i | −0.472155 | + | 0.270524i | ||||
\(712\) | −165.634 | −0.232633 | ||||||||
\(713\) | 221.310i | 0.310392i | ||||||||
\(714\) | 210.653 | − | 56.0717i | 0.295032 | − | 0.0785318i | ||||
\(715\) | 297.981 | 0.416756 | ||||||||
\(716\) | − | 186.539i | − | 0.260529i | ||||||
\(717\) | 266.561 | + | 1001.43i | 0.371773 | + | 1.39669i | ||||
\(718\) | 313.293 | 0.436341 | ||||||||
\(719\) | 74.7121i | 0.103911i | 0.998649 | + | 0.0519555i | \(0.0165454\pi\) | ||||
−0.998649 | + | 0.0519555i | \(0.983455\pi\) | |||||||
\(720\) | −579.947 | − | 1012.20i | −0.805482 | − | 1.40583i | ||||
\(721\) | 211.618 | 0.293506 | ||||||||
\(722\) | 792.856i | 1.09814i | ||||||||
\(723\) | 870.276 | − | 231.651i | 1.20370 | − | 0.320402i | ||||
\(724\) | −646.733 | −0.893278 | ||||||||
\(725\) | − | 842.639i | − | 1.16226i | ||||||
\(726\) | 63.3469 | + | 237.984i | 0.0872546 | + | 0.327802i | ||||
\(727\) | −306.940 | −0.422201 | −0.211101 | − | 0.977464i | \(-0.567705\pi\) | ||||
−0.211101 | + | 0.977464i | \(0.567705\pi\) | |||||||
\(728\) | 60.4751i | 0.0830702i | ||||||||
\(729\) | 7.21917 | − | 728.964i | 0.00990285 | − | 0.999951i | ||||
\(730\) | −1735.14 | −2.37690 | ||||||||
\(731\) | − | 865.322i | − | 1.18375i | ||||||
\(732\) | 137.045 | − | 36.4788i | 0.187220 | − | 0.0498345i | ||||
\(733\) | −766.418 | −1.04559 | −0.522795 | − | 0.852458i | \(-0.675111\pi\) | ||||
−0.522795 | + | 0.852458i | \(0.675111\pi\) | |||||||
\(734\) | − | 188.259i | − | 0.256483i | ||||||
\(735\) | −35.0314 | − | 131.607i | −0.0476617 | − | 0.179058i | ||||
\(736\) | 147.608 | 0.200554 | ||||||||
\(737\) | − | 801.638i | − | 1.08770i | ||||||
\(738\) | 852.949 | − | 488.703i | 1.15576 | − | 0.662200i | ||||
\(739\) | −1055.00 | −1.42761 | −0.713804 | − | 0.700346i | \(-0.753029\pi\) | ||||
−0.713804 | + | 0.700346i | \(0.753029\pi\) | |||||||
\(740\) | 900.538i | 1.21694i | ||||||||
\(741\) | 90.3270 | − | 24.0433i | 0.121899 | − | 0.0324472i | ||||
\(742\) | 434.367 | 0.585400 | ||||||||
\(743\) | 123.625i | 0.166387i | 0.996533 | + | 0.0831933i | \(0.0265119\pi\) | ||||
−0.996533 | + | 0.0831933i | \(0.973488\pi\) | |||||||
\(744\) | −165.993 | − | 623.610i | −0.223109 | − | 0.838185i | ||||
\(745\) | −504.930 | −0.677758 | ||||||||
\(746\) | 153.202i | 0.205364i | ||||||||
\(747\) | 641.505 | + | 1119.64i | 0.858775 | + | 1.49885i | ||||
\(748\) | −220.100 | −0.294251 | ||||||||
\(749\) | 371.348i | 0.495791i | ||||||||
\(750\) | −369.227 | + | 98.2813i | −0.492303 | + | 0.131042i | ||||
\(751\) | −644.742 | −0.858512 | −0.429256 | − | 0.903183i | \(-0.641224\pi\) | ||||
−0.429256 | + | 0.903183i | \(0.641224\pi\) | |||||||
\(752\) | 42.1841i | 0.0560959i | ||||||||
\(753\) | −42.5207 | − | 159.744i | −0.0564684 | − | 0.212143i | ||||
\(754\) | 598.977 | 0.794399 | ||||||||
\(755\) | 832.500i | 1.10265i | ||||||||
\(756\) | −107.359 | + | 106.301i | −0.142009 | + | 0.140609i | ||||
\(757\) | 670.147 | 0.885267 | 0.442634 | − | 0.896703i | \(-0.354044\pi\) | ||||
0.442634 | + | 0.896703i | \(0.354044\pi\) | |||||||
\(758\) | 736.169i | 0.971199i | ||||||||
\(759\) | 130.279 | − | 34.6779i | 0.171646 | − | 0.0456889i | ||||
\(760\) | −192.088 | −0.252747 | ||||||||
\(761\) | 1006.28i | 1.32231i | 0.750249 | + | 0.661155i | \(0.229934\pi\) | ||||
−0.750249 | + | 0.661155i | \(0.770066\pi\) | |||||||
\(762\) | −161.624 | − | 607.197i | −0.212105 | − | 0.796846i | ||||
\(763\) | 14.4447 | 0.0189315 | ||||||||
\(764\) | − | 229.928i | − | 0.300953i | ||||||
\(765\) | −562.456 | + | 322.263i | −0.735236 | + | 0.421259i | ||||
\(766\) | 377.565 | 0.492905 | ||||||||
\(767\) | − | 341.369i | − | 0.445071i | ||||||
\(768\) | −906.116 | + | 241.191i | −1.17984 | + | 0.314050i | ||||
\(769\) | −596.916 | −0.776224 | −0.388112 | − | 0.921612i | \(-0.626873\pi\) | ||||
−0.388112 | + | 0.921612i | \(0.626873\pi\) | |||||||
\(770\) | 397.582i | 0.516340i | ||||||||
\(771\) | −51.3927 | − | 193.074i | −0.0666572 | − | 0.250420i | ||||
\(772\) | −268.313 | −0.347556 | ||||||||
\(773\) | − | 961.508i | − | 1.24387i | −0.783071 | − | 0.621933i | \(-0.786348\pi\) | ||
0.783071 | − | 0.621933i | \(-0.213652\pi\) | |||||||
\(774\) | 862.043 | + | 1504.55i | 1.11375 | + | 1.94386i | ||||
\(775\) | 787.174 | 1.01571 | ||||||||
\(776\) | 360.553i | 0.464631i | ||||||||
\(777\) | −503.596 | + | 134.048i | −0.648129 | + | 0.172520i | ||||
\(778\) | −41.1371 | −0.0528755 | ||||||||
\(779\) | − | 280.662i | − | 0.360284i | ||||||
\(780\) | 51.8998 | + | 194.979i | 0.0665382 | + | 0.249974i | ||||
\(781\) | 425.381 | 0.544662 | ||||||||
\(782\) | − | 131.712i | − | 0.168430i | ||||||
\(783\) | −938.413 | − | 947.753i | −1.19848 | − | 1.21041i | ||||
\(784\) | −139.908 | −0.178453 | ||||||||
\(785\) | 16.3981i | 0.0208893i | ||||||||
\(786\) | −341.772 | + | 90.9731i | −0.434824 | + | 0.115742i | ||||
\(787\) | −469.049 | −0.595997 | −0.297998 | − | 0.954566i | \(-0.596319\pi\) | ||||
−0.297998 | + | 0.954566i | \(0.596319\pi\) | |||||||
\(788\) | − | 32.5346i | − | 0.0412875i | ||||||
\(789\) | −81.7934 | − | 307.285i | −0.103667 | − | 0.389461i | ||||
\(790\) | −689.411 | −0.872672 | ||||||||
\(791\) | − | 493.081i | − | 0.623364i | ||||||
\(792\) | −341.093 | + | 195.432i | −0.430674 | + | 0.246758i | ||||
\(793\) | 109.601 | 0.138211 | ||||||||
\(794\) | 820.686i | 1.03361i | ||||||||
\(795\) | −1248.23 | + | 332.254i | −1.57010 | + | 0.417930i | ||||
\(796\) | 419.864 | 0.527467 | ||||||||
\(797\) | 517.984i | 0.649917i | 0.945728 | + | 0.324958i | \(0.105350\pi\) | ||||
−0.945728 | + | 0.324958i | \(0.894650\pi\) | |||||||
\(798\) | 32.0799 | + | 120.519i | 0.0402003 | + | 0.151026i | ||||
\(799\) | 23.4407 | 0.0293376 | ||||||||
\(800\) | − | 525.026i | − | 0.656282i | ||||||
\(801\) | −158.983 | − | 277.478i | −0.198480 | − | 0.346414i | ||||
\(802\) | 1169.89 | 1.45871 | ||||||||
\(803\) | 1013.83i | 1.26256i | ||||||||
\(804\) | 524.540 | − | 139.622i | 0.652412 | − | 0.173660i | ||||
\(805\) | −82.2884 | −0.102222 | ||||||||
\(806\) | 559.551i | 0.694232i | ||||||||
\(807\) | −364.046 | − | 1367.66i | −0.451111 | − | 1.69475i | ||||
\(808\) | −42.4505 | −0.0525378 | ||||||||
\(809\) | 589.209i | 0.728318i | 0.931337 | + | 0.364159i | \(0.118644\pi\) | ||||
−0.931337 | + | 0.364159i | \(0.881356\pi\) | |||||||
\(810\) | 656.909 | − | 1120.65i | 0.810999 | − | 1.38352i | ||||
\(811\) | −704.104 | −0.868192 | −0.434096 | − | 0.900867i | \(-0.642932\pi\) | ||||
−0.434096 | + | 0.900867i | \(0.642932\pi\) | |||||||
\(812\) | 276.411i | 0.340407i | ||||||||
\(813\) | −1094.23 | + | 291.263i | −1.34592 | + | 0.358257i | ||||
\(814\) | 1521.35 | 1.86898 | ||||||||
\(815\) | 704.110i | 0.863939i | ||||||||
\(816\) | 171.294 | + | 643.524i | 0.209919 | + | 0.788632i | ||||
\(817\) | 495.070 | 0.605961 | ||||||||
\(818\) | − | 1024.67i | − | 1.25265i | ||||||
\(819\) | −101.310 | + | 58.0465i | −0.123700 | + | 0.0708749i | ||||
\(820\) | 605.834 | 0.738822 | ||||||||
\(821\) | 776.407i | 0.945684i | 0.881147 | + | 0.472842i | \(0.156772\pi\) | ||||
−0.881147 | + | 0.472842i | \(0.843228\pi\) | |||||||
\(822\) | 724.253 | − | 192.782i | 0.881086 | − | 0.234528i | ||||
\(823\) | −1271.36 | −1.54479 | −0.772396 | − | 0.635141i | \(-0.780942\pi\) | ||||
−0.772396 | + | 0.635141i | \(0.780942\pi\) | |||||||
\(824\) | 372.841i | 0.452478i | ||||||||
\(825\) | −123.346 | − | 463.390i | −0.149510 | − | 0.561685i | ||||
\(826\) | 455.473 | 0.551420 | ||||||||
\(827\) | 602.754i | 0.728845i | 0.931234 | + | 0.364422i | \(0.118734\pi\) | ||||
−0.931234 | + | 0.364422i | \(0.881266\pi\) | |||||||
\(828\) | 45.3819 | + | 79.2065i | 0.0548091 | + | 0.0956600i | ||||
\(829\) | −372.049 | −0.448792 | −0.224396 | − | 0.974498i | \(-0.572041\pi\) | ||||
−0.224396 | + | 0.974498i | \(0.572041\pi\) | |||||||
\(830\) | 2299.33i | 2.77028i | ||||||||
\(831\) | 194.835 | − | 51.8614i | 0.234459 | − | 0.0624084i | ||||
\(832\) | −18.8152 | −0.0226144 | ||||||||
\(833\) | 77.7433i | 0.0933293i | ||||||||
\(834\) | −19.4104 | − | 72.9216i | −0.0232738 | − | 0.0874360i | ||||
\(835\) | 755.470 | 0.904755 | ||||||||
\(836\) | − | 125.924i | − | 0.150627i | ||||||
\(837\) | 885.370 | − | 876.645i | 1.05779 | − | 1.04737i | ||||
\(838\) | −316.776 | −0.378014 | ||||||||
\(839\) | 44.1144i | 0.0525798i | 0.999654 | + | 0.0262899i | \(0.00836929\pi\) | ||||
−0.999654 | + | 0.0262899i | \(0.991631\pi\) | |||||||
\(840\) | 231.874 | − | 61.7204i | 0.276040 | − | 0.0734766i | ||||
\(841\) | −1599.13 | −1.90146 | ||||||||
\(842\) | − | 1800.37i | − | 2.13821i | ||||||
\(843\) | −276.693 | − | 1039.49i | −0.328224 | − | 1.23309i | ||||
\(844\) | −418.155 | −0.495444 | ||||||||
\(845\) | − | 940.071i | − | 1.11251i | ||||||
\(846\) | −40.7568 | + | 23.3519i | −0.0481759 | + | 0.0276027i | ||||
\(847\) | −87.8303 | −0.103696 | ||||||||
\(848\) | 1326.95i | 1.56480i | ||||||||
\(849\) | 643.245 | − | 171.220i | 0.757650 | − | 0.201672i | ||||
\(850\) | −468.485 | −0.551159 | ||||||||
\(851\) | 314.877i | 0.370008i | ||||||||
\(852\) | 74.0892 | + | 278.342i | 0.0869592 | + | 0.326692i | ||||
\(853\) | −336.859 | −0.394911 | −0.197455 | − | 0.980312i | \(-0.563268\pi\) | ||||
−0.197455 | + | 0.980312i | \(0.563268\pi\) | |||||||
\(854\) | 146.236i | 0.171236i | ||||||||
\(855\) | −184.374 | − | 321.793i | −0.215642 | − | 0.376367i | ||||
\(856\) | −654.263 | −0.764325 | ||||||||
\(857\) | − | 417.100i | − | 0.486697i | −0.969939 | − | 0.243349i | \(-0.921754\pi\) | ||
0.969939 | − | 0.243349i | \(-0.0782459\pi\) | |||||||
\(858\) | 329.394 | − | 87.6784i | 0.383909 | − | 0.102189i | ||||
\(859\) | 814.724 | 0.948457 | 0.474228 | − | 0.880402i | \(-0.342727\pi\) | ||||
0.474228 | + | 0.880402i | \(0.342727\pi\) | |||||||
\(860\) | 1068.65i | 1.24262i | ||||||||
\(861\) | 90.1803 | + | 338.793i | 0.104739 | + | 0.393488i | ||||
\(862\) | −410.646 | −0.476387 | ||||||||
\(863\) | − | 856.034i | − | 0.991928i | −0.868343 | − | 0.495964i | \(-0.834815\pi\) | ||
0.868343 | − | 0.495964i | \(-0.165185\pi\) | |||||||
\(864\) | −584.701 | − | 590.520i | −0.676737 | − | 0.683472i | ||||
\(865\) | 1569.39 | 1.81433 | ||||||||
\(866\) | 1972.95i | 2.27823i | ||||||||
\(867\) | −480.236 | + | 127.830i | −0.553905 | + | 0.147439i | ||||
\(868\) | −258.217 | −0.297485 | ||||||||
\(869\) | 402.820i | 0.463545i | ||||||||
\(870\) | −611.311 | − | 2296.60i | −0.702656 | − | 2.63977i | ||||
\(871\) | 419.498 | 0.481628 | ||||||||
\(872\) | 25.4495i | 0.0291852i | ||||||||
\(873\) | −604.014 | + | 346.074i | −0.691883 | + | 0.396419i | ||||
\(874\) | 75.3554 | 0.0862189 | ||||||||
\(875\) | − | 136.267i | − | 0.155734i | ||||||
\(876\) | −663.387 | + | 176.581i | −0.757291 | + | 0.201576i | ||||
\(877\) | 1605.37 | 1.83052 | 0.915261 | − | 0.402863i | \(-0.131985\pi\) | ||||
0.915261 | + | 0.402863i | \(0.131985\pi\) | |||||||
\(878\) | − | 633.030i | − | 0.720991i | ||||||
\(879\) | 162.996 | + | 612.352i | 0.185434 | + | 0.696646i | ||||
\(880\) | −1214.57 | −1.38020 | ||||||||
\(881\) | 572.450i | 0.649773i | 0.945753 | + | 0.324887i | \(0.105326\pi\) | ||||
−0.945753 | + | 0.324887i | \(0.894674\pi\) | |||||||
\(882\) | −77.4487 | − | 135.174i | −0.0878103 | − | 0.153258i | ||||
\(883\) | 71.3942 | 0.0808542 | 0.0404271 | − | 0.999182i | \(-0.487128\pi\) | ||||
0.0404271 | + | 0.999182i | \(0.487128\pi\) | |||||||
\(884\) | − | 115.179i | − | 0.130292i | ||||||
\(885\) | −1308.88 | + | 348.399i | −1.47896 | + | 0.393671i | ||||
\(886\) | 77.8751 | 0.0878951 | ||||||||
\(887\) | 857.904i | 0.967197i | 0.875290 | + | 0.483599i | \(0.160671\pi\) | ||||
−0.875290 | + | 0.483599i | \(0.839329\pi\) | |||||||
\(888\) | −236.173 | − | 887.266i | −0.265961 | − | 0.999174i | ||||
\(889\) | 224.092 | 0.252072 | ||||||||
\(890\) | − | 569.839i | − | 0.640269i | ||||||
\(891\) | −654.791 | − | 383.830i | −0.734895 | − | 0.430786i | ||||
\(892\) | 370.362 | 0.415205 | ||||||||
\(893\) | 13.4110i | 0.0150179i | ||||||||
\(894\) | −558.159 | + | 148.571i | −0.624339 | + | 0.166187i | ||||
\(895\) | −572.000 | −0.639106 | ||||||||
\(896\) | − | 350.832i | − | 0.391554i | ||||||
\(897\) | 18.1470 | + | 68.1754i | 0.0202308 | + | 0.0760038i | ||||
\(898\) | 605.565 | 0.674349 | ||||||||
\(899\) | − | 2279.52i | − | 2.53561i | ||||||
\(900\) | 281.729 | − | 161.419i | 0.313032 | − | 0.179354i | ||||
\(901\) | 737.355 | 0.818374 | ||||||||
\(902\) | − | 1023.48i | − | 1.13468i | ||||||
\(903\) | −597.611 | + | 159.073i | −0.661806 | + | 0.176160i | ||||
\(904\) | 868.739 | 0.960994 | ||||||||
\(905\) | 1983.13i | 2.19131i | ||||||||
\(906\) | 244.956 | + | 920.262i | 0.270371 | + | 1.01574i | ||||
\(907\) | −949.561 | −1.04693 | −0.523463 | − | 0.852049i | \(-0.675360\pi\) | ||||
−0.523463 | + | 0.852049i | \(0.675360\pi\) | |||||||
\(908\) | − | 284.197i | − | 0.312993i | ||||||
\(909\) | −40.7458 | − | 71.1148i | −0.0448248 | − | 0.0782342i | ||||
\(910\) | −208.055 | −0.228632 | ||||||||
\(911\) | 549.807i | 0.603520i | 0.953384 | + | 0.301760i | \(0.0975742\pi\) | ||||
−0.953384 | + | 0.301760i | \(0.902426\pi\) | |||||||
\(912\) | −368.174 | + | 98.0010i | −0.403700 | + | 0.107457i | ||||
\(913\) | 1343.49 | 1.47151 | ||||||||
\(914\) | 1840.84i | 2.01405i | ||||||||
\(915\) | −111.858 | − | 420.233i | −0.122249 | − | 0.459271i | ||||
\(916\) | −754.246 | −0.823413 | ||||||||
\(917\) | − | 126.134i | − | 0.137551i | ||||||
\(918\) | −526.926 | + | 521.734i | −0.573994 | + | 0.568337i | ||||
\(919\) | 1204.90 | 1.31110 | 0.655552 | − | 0.755150i | \(-0.272436\pi\) | ||||
0.655552 | + | 0.755150i | \(0.272436\pi\) | |||||||
\(920\) | − | 144.981i | − | 0.157588i | ||||||
\(921\) | −1485.31 | + | 395.362i | −1.61272 | + | 0.429275i | ||||
\(922\) | −71.8654 | −0.0779451 | ||||||||
\(923\) | 222.602i | 0.241173i | ||||||||
\(924\) | 40.4610 | + | 152.006i | 0.0437890 | + | 0.164508i | ||||
\(925\) | 1119.98 | 1.21079 | ||||||||
\(926\) | − | 1418.77i | − | 1.53215i | ||||||
\(927\) | −624.599 | + | 357.869i | −0.673786 | + | 0.386051i | ||||
\(928\) | −1520.38 | −1.63834 | ||||||||
\(929\) | 469.976i | 0.505894i | 0.967480 | + | 0.252947i | \(0.0813999\pi\) | ||||
−0.967480 | + | 0.252947i | \(0.918600\pi\) | |||||||
\(930\) | 2145.43 | − | 571.073i | 2.30692 | − | 0.614057i | ||||
\(931\) | −44.4787 | −0.0477752 | ||||||||
\(932\) | 435.132i | 0.466880i | ||||||||
\(933\) | 263.638 | + | 990.448i | 0.282571 | + | 1.06157i | ||||
\(934\) | −1244.64 | −1.33259 | ||||||||
\(935\) | 674.910i | 0.721829i | ||||||||
\(936\) | −102.270 | − | 178.495i | −0.109263 | − | 0.190700i | ||||
\(937\) | 1484.30 | 1.58410 | 0.792051 | − | 0.610455i | \(-0.209013\pi\) | ||||
0.792051 | + | 0.610455i | \(0.209013\pi\) | |||||||
\(938\) | 559.716i | 0.596713i | ||||||||
\(939\) | 879.141 | − | 234.011i | 0.936253 | − | 0.249213i | ||||
\(940\) | −28.9488 | −0.0307966 | ||||||||
\(941\) | 69.0345i | 0.0733629i | 0.999327 | + | 0.0366814i | \(0.0116787\pi\) | ||||
−0.999327 | + | 0.0366814i | \(0.988321\pi\) | |||||||
\(942\) | 4.82499 | + | 18.1267i | 0.00512207 | + | 0.0192428i | ||||
\(943\) | 211.833 | 0.224637 | ||||||||
\(944\) | 1391.43i | 1.47397i | ||||||||
\(945\) | 325.959 | + | 329.203i | 0.344930 | + | 0.348363i | ||||
\(946\) | 1805.36 | 1.90842 | ||||||||
\(947\) | − | 1885.38i | − | 1.99090i | −0.0953097 | − | 0.995448i | \(-0.530384\pi\) | ||
0.0953097 | − | 0.995448i | \(-0.469616\pi\) | |||||||
\(948\) | −263.579 | + | 70.1598i | −0.278037 | + | 0.0740083i | ||||
\(949\) | −530.541 | −0.559052 | ||||||||
\(950\) | − | 268.031i | − | 0.282138i | ||||||
\(951\) | 228.389 | + | 858.020i | 0.240156 | + | 0.902229i | ||||
\(952\) | −136.973 | −0.143879 | ||||||||
\(953\) | − | 1106.21i | − | 1.16076i | −0.814345 | − | 0.580381i | \(-0.802904\pi\) | ||
0.814345 | − | 0.580381i | \(-0.197096\pi\) | |||||||
\(954\) | −1282.05 | + | 734.561i | −1.34387 | + | 0.769980i | ||||
\(955\) | −705.048 | −0.738270 | ||||||||
\(956\) | 730.572i | 0.764197i | ||||||||
\(957\) | −1341.89 | + | 357.187i | −1.40219 | + | 0.373236i | ||||
\(958\) | 931.648 | 0.972492 | ||||||||
\(959\) | 267.292i | 0.278720i | ||||||||
\(960\) | 19.2026 | + | 72.1411i | 0.0200027 | + | 0.0751470i | ||||
\(961\) | 1168.47 | 1.21589 | ||||||||
\(962\) | 796.124i | 0.827572i | ||||||||
\(963\) | −627.989 | − | 1096.05i | −0.652117 | − | 1.13816i | ||||
\(964\) | 634.892 | 0.658601 | ||||||||
\(965\) | 822.752i | 0.852593i | ||||||||
\(966\) | −90.9632 | + | 24.2127i | −0.0941648 | + | 0.0250649i | ||||
\(967\) | 74.2664 | 0.0768008 | 0.0384004 | − | 0.999262i | \(-0.487774\pi\) | ||||
0.0384004 | + | 0.999262i | \(0.487774\pi\) | |||||||
\(968\) | − | 154.745i | − | 0.159860i | ||||||
\(969\) | 54.4568 | + | 204.586i | 0.0561990 | + | 0.211131i | ||||
\(970\) | −1240.43 | −1.27879 | ||||||||
\(971\) | 386.354i | 0.397893i | 0.980010 | + | 0.198947i | \(0.0637521\pi\) | ||||
−0.980010 | + | 0.198947i | \(0.936248\pi\) | |||||||
\(972\) | 137.107 | − | 495.305i | 0.141057 | − | 0.509573i | ||||
\(973\) | 26.9124 | 0.0276592 | ||||||||
\(974\) | − | 1431.01i | − | 1.46921i | ||||||
\(975\) | 242.493 | − | 64.5469i | 0.248710 | − | 0.0662020i | ||||
\(976\) | −446.736 | −0.457722 | ||||||||
\(977\) | − | 1331.18i | − | 1.36251i | −0.732045 | − | 0.681257i | \(-0.761434\pi\) | ||
0.732045 | − | 0.681257i | \(-0.238566\pi\) | |||||||
\(978\) | 207.178 | + | 778.337i | 0.211839 | + | 0.795846i | ||||
\(979\) | −332.955 | −0.340097 | ||||||||
\(980\) | − | 96.0114i | − | 0.0979708i | ||||||
\(981\) | −42.6341 | + | 24.4275i | −0.0434599 | + | 0.0249006i | ||||
\(982\) | −1872.44 | −1.90676 | ||||||||
\(983\) | 1373.69i | 1.39745i | 0.715393 | + | 0.698723i | \(0.246248\pi\) | ||||
−0.715393 | + | 0.698723i | \(0.753752\pi\) | |||||||
\(984\) | −596.906 | + | 158.885i | −0.606612 | + | 0.161468i | ||||
\(985\) | −99.7636 | −0.101283 | ||||||||
\(986\) | 1356.65i | 1.37591i | ||||||||
\(987\) | −4.30912 | − | 16.1887i | −0.00436588 | − | 0.0164019i | ||||
\(988\) | 65.8962 | 0.0666966 | ||||||||
\(989\) | 373.660i | 0.377816i | ||||||||
\(990\) | −672.353 | − | 1173.48i | −0.679144 | − | 1.18533i | ||||
\(991\) | −1178.37 | −1.18908 | −0.594538 | − | 0.804067i | \(-0.702665\pi\) | ||||
−0.594538 | + | 0.804067i | \(0.702665\pi\) | |||||||
\(992\) | − | 1420.31i | − | 1.43176i | ||||||
\(993\) | 1357.50 | − | 361.341i | 1.36707 | − | 0.363888i | ||||
\(994\) | −297.008 | −0.298801 | ||||||||
\(995\) | − | 1287.46i | − | 1.29393i | ||||||
\(996\) | 233.998 | + | 879.094i | 0.234938 | + | 0.882625i | ||||
\(997\) | 1079.56 | 1.08281 | 0.541405 | − | 0.840762i | \(-0.317892\pi\) | ||||
0.541405 | + | 0.840762i | \(0.317892\pi\) | |||||||
\(998\) | − | 265.157i | − | 0.265689i | ||||||
\(999\) | 1259.70 | − | 1247.28i | 1.26096 | − | 1.24853i |
(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 | 483.3.b.a.323.20 | ✓ | 88 | |
3.2 | odd | 2 | inner | 483.3.b.a.323.69 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.3.b.a.323.20 | ✓ | 88 | 1.1 | even | 1 | trivial | |
483.3.b.a.323.69 | yes | 88 | 3.2 | odd | 2 | inner |