Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,3,Mod(37,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.37");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.ca (of order \(12\), degree \(4\), 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: | \(8.58312832735\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.3 | ||
Character | \(\chi\) | \(=\) | 315.37 |
Dual form | 315.3.ca.b.298.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.88660 | + | 0.773463i | −1.44330 | + | 0.386731i | −0.893688 | − | 0.448688i | \(-0.851891\pi\) |
−0.549613 | + | 0.835419i | \(0.685225\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 4.27013 | − | 2.46536i | 1.06753 | − | 0.616340i | ||||
\(5\) | −0.160937 | + | 4.99741i | −0.0321874 | + | 0.999482i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 5.19830 | − | 4.68804i | 0.742614 | − | 0.669719i | ||||
\(8\) | −1.96674 | + | 1.96674i | −0.245842 | + | 0.245842i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.40075 | − | 14.5500i | −0.340075 | − | 1.45500i | ||||
\(11\) | −6.71313 | − | 11.6275i | −0.610285 | − | 1.05704i | −0.991192 | − | 0.132431i | \(-0.957722\pi\) |
0.380907 | − | 0.924613i | \(-0.375612\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.94411 | + | 3.94411i | −0.303393 | + | 0.303393i | −0.842340 | − | 0.538947i | \(-0.818822\pi\) |
0.538947 | + | 0.842340i | \(0.318822\pi\) | |||||||
\(14\) | −11.3794 | + | 17.5532i | −0.812814 | + | 1.25380i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −5.70544 | + | 9.88212i | −0.356590 | + | 0.617632i | ||||
\(17\) | 2.53643 | − | 9.46609i | 0.149202 | − | 0.556829i | −0.850330 | − | 0.526249i | \(-0.823598\pi\) |
0.999532 | − | 0.0305799i | \(-0.00973539\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.57992 | − | 2.64422i | −0.241049 | − | 0.139169i | 0.374610 | − | 0.927182i | \(-0.377777\pi\) |
−0.615659 | + | 0.788013i | \(0.711110\pi\) | |||||||
\(20\) | 11.6332 | + | 21.7363i | 0.581659 | + | 1.08682i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 28.3716 | + | 28.3716i | 1.28962 | + | 1.28962i | ||||
\(23\) | 1.98091 | + | 7.39285i | 0.0861264 | + | 0.321428i | 0.995525 | − | 0.0944974i | \(-0.0301244\pi\) |
−0.909399 | + | 0.415925i | \(0.863458\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −24.9482 | − | 1.60854i | −0.997928 | − | 0.0643415i | ||||
\(26\) | 8.33445 | − | 14.4357i | 0.320556 | − | 0.555219i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 10.6397 | − | 32.8342i | 0.379990 | − | 1.17265i | ||||
\(29\) | − | 36.7188i | − | 1.26616i | −0.774085 | − | 0.633082i | \(-0.781789\pi\) | ||
0.774085 | − | 0.633082i | \(-0.218211\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −9.71723 | − | 16.8307i | −0.313459 | − | 0.542927i | 0.665650 | − | 0.746264i | \(-0.268155\pi\) |
−0.979109 | + | 0.203337i | \(0.934821\pi\) | |||||||
\(32\) | 11.7054 | − | 43.6852i | 0.365794 | − | 1.36516i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 29.2867i | 0.861373i | ||||||||
\(35\) | 22.5914 | + | 26.7325i | 0.645470 | + | 0.763786i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 43.7832 | − | 11.7317i | 1.18333 | − | 0.317072i | 0.387083 | − | 0.922045i | \(-0.373483\pi\) |
0.796246 | + | 0.604973i | \(0.206816\pi\) | |||||||
\(38\) | 15.2656 | + | 4.09041i | 0.401727 | + | 0.107642i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −9.51208 | − | 10.1451i | −0.237802 | − | 0.253628i | ||||
\(41\) | −57.9301 | −1.41293 | −0.706464 | − | 0.707749i | \(-0.749711\pi\) | ||||
−0.706464 | + | 0.707749i | \(0.749711\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 46.3359 | − | 46.3359i | 1.07758 | − | 1.07758i | 0.0808525 | − | 0.996726i | \(-0.474236\pi\) |
0.996726 | − | 0.0808525i | \(-0.0257643\pi\) | |||||||
\(44\) | −57.3319 | − | 33.1006i | −1.30300 | − | 0.752286i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −11.4362 | − | 19.8080i | −0.248613 | − | 0.430610i | ||||
\(47\) | 61.3721 | − | 16.4446i | 1.30579 | − | 0.349885i | 0.462153 | − | 0.886800i | \(-0.347077\pi\) |
0.843636 | + | 0.536915i | \(0.180410\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.04463 | − | 48.7396i | 0.102952 | − | 0.994686i | ||||
\(50\) | 73.2597 | − | 14.6533i | 1.46519 | − | 0.293066i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −7.11820 | + | 26.5655i | −0.136889 | + | 0.510875i | ||||
\(53\) | 38.8830 | + | 10.4187i | 0.733641 | + | 0.196578i | 0.606250 | − | 0.795274i | \(-0.292673\pi\) |
0.127391 | + | 0.991853i | \(0.459340\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 59.1877 | − | 31.6770i | 1.07614 | − | 0.575945i | ||||
\(56\) | −1.00355 | + | 19.4438i | −0.0179206 | + | 0.347212i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 28.4006 | + | 105.992i | 0.489666 | + | 1.82746i | ||||
\(59\) | 60.4517 | − | 34.9018i | 1.02461 | − | 0.591556i | 0.109171 | − | 0.994023i | \(-0.465181\pi\) |
0.915434 | + | 0.402467i | \(0.131847\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −39.4523 | + | 68.3334i | −0.646759 | + | 1.12022i | 0.337133 | + | 0.941457i | \(0.390543\pi\) |
−0.983892 | + | 0.178763i | \(0.942790\pi\) | |||||||
\(62\) | 41.0677 | + | 41.0677i | 0.662383 | + | 0.662383i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 89.5118i | 1.39862i | ||||||||
\(65\) | −19.0756 | − | 20.3451i | −0.293470 | − | 0.313001i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 28.7353 | − | 107.241i | 0.428885 | − | 1.60062i | −0.326407 | − | 0.945229i | \(-0.605838\pi\) |
0.755291 | − | 0.655389i | \(-0.227495\pi\) | |||||||
\(68\) | −12.5064 | − | 46.6746i | −0.183918 | − | 0.686392i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −85.8891 | − | 59.6925i | −1.22699 | − | 0.852750i | ||||
\(71\) | 121.479 | 1.71097 | 0.855486 | − | 0.517826i | \(-0.173259\pi\) | ||||
0.855486 | + | 0.517826i | \(0.173259\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.70119 | + | 1.25968i | 0.0643998 | + | 0.0172559i | 0.290875 | − | 0.956761i | \(-0.406054\pi\) |
−0.226475 | + | 0.974017i | \(0.572720\pi\) | |||||||
\(74\) | −117.311 | + | 67.7293i | −1.58528 | + | 0.915261i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −26.0758 | −0.343103 | ||||||||
\(77\) | −89.4070 | − | 28.9718i | −1.16113 | − | 0.376257i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −116.005 | − | 66.9753i | −1.46841 | − | 0.847788i | −0.469039 | − | 0.883177i | \(-0.655400\pi\) |
−0.999374 | + | 0.0353889i | \(0.988733\pi\) | |||||||
\(80\) | −48.4668 | − | 30.1028i | −0.605835 | − | 0.376285i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 167.221 | − | 44.8068i | 2.03928 | − | 0.546424i | ||||
\(83\) | −99.6896 | + | 99.6896i | −1.20108 | + | 1.20108i | −0.227242 | + | 0.973838i | \(0.572971\pi\) |
−0.973838 | + | 0.227242i | \(0.927029\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 46.8977 | + | 14.1990i | 0.551738 | + | 0.167047i | ||||
\(86\) | −97.9142 | + | 169.592i | −1.13854 | + | 1.97200i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 36.0712 | + | 9.66526i | 0.409900 | + | 0.109832i | ||||
\(89\) | 20.5641 | + | 11.8727i | 0.231058 | + | 0.133401i | 0.611060 | − | 0.791584i | \(-0.290743\pi\) |
−0.380002 | + | 0.924986i | \(0.624077\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.01253 | + | 38.9928i | −0.0221158 | + | 0.428492i | ||||
\(92\) | 26.6847 | + | 26.6847i | 0.290052 | + | 0.290052i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −164.438 | + | 94.9381i | −1.74934 | + | 1.00998i | ||||
\(95\) | 13.9513 | − | 22.4622i | 0.146856 | − | 0.236444i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −40.9086 | − | 40.9086i | −0.421738 | − | 0.421738i | 0.464064 | − | 0.885802i | \(-0.346391\pi\) |
−0.885802 | + | 0.464064i | \(0.846391\pi\) | |||||||
\(98\) | 23.1364 | + | 144.594i | 0.236086 | + | 1.47545i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −110.498 | + | 54.6376i | −1.10498 | + | 0.546376i | ||||
\(101\) | −34.1609 | − | 59.1683i | −0.338226 | − | 0.585825i | 0.645873 | − | 0.763445i | \(-0.276494\pi\) |
−0.984099 | + | 0.177620i | \(0.943160\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 32.8404 | + | 122.562i | 0.318839 | + | 1.18992i | 0.920362 | + | 0.391067i | \(0.127894\pi\) |
−0.601524 | + | 0.798855i | \(0.705439\pi\) | |||||||
\(104\) | − | 15.5141i | − | 0.149174i | ||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −120.298 | −1.13489 | ||||||||
\(107\) | −58.6252 | + | 15.7086i | −0.547899 | + | 0.146809i | −0.522141 | − | 0.852859i | \(-0.674867\pi\) |
−0.0257581 | + | 0.999668i | \(0.508200\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 18.6575 | − | 10.7719i | 0.171170 | − | 0.0988251i | −0.411967 | − | 0.911199i | \(-0.635158\pi\) |
0.583137 | + | 0.812374i | \(0.301825\pi\) | |||||||
\(110\) | −146.350 | + | 137.218i | −1.33046 | + | 1.24744i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 16.6691 | + | 78.1175i | 0.148831 | + | 0.697478i | ||||
\(113\) | −12.3946 | + | 12.3946i | −0.109686 | + | 0.109686i | −0.759820 | − | 0.650134i | \(-0.774713\pi\) |
0.650134 | + | 0.759820i | \(0.274713\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −37.2639 | + | 8.70962i | −0.324034 | + | 0.0757358i | ||||
\(116\) | −90.5250 | − | 156.794i | −0.780388 | − | 1.35167i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −147.505 | + | 147.505i | −1.25004 | + | 1.25004i | ||||
\(119\) | −31.1923 | − | 61.0985i | −0.262120 | − | 0.513432i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −29.6323 | + | 51.3247i | −0.244895 | + | 0.424171i | ||||
\(122\) | 61.0298 | − | 227.766i | 0.500244 | − | 1.86694i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −82.9877 | − | 47.9129i | −0.669255 | − | 0.386395i | ||||
\(125\) | 12.0536 | − | 124.417i | 0.0964288 | − | 0.995340i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −21.0785 | − | 21.0785i | −0.165973 | − | 0.165973i | 0.619234 | − | 0.785207i | \(-0.287443\pi\) |
−0.785207 | + | 0.619234i | \(0.787443\pi\) | |||||||
\(128\) | −22.4125 | − | 83.6445i | −0.175097 | − | 0.653472i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 70.7998 | + | 43.9739i | 0.544614 | + | 0.338261i | ||||
\(131\) | 62.6091 | − | 108.442i | 0.477932 | − | 0.827803i | −0.521748 | − | 0.853100i | \(-0.674720\pi\) |
0.999680 | + | 0.0252971i | \(0.00805318\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −36.2040 | + | 7.72540i | −0.272211 | + | 0.0580857i | ||||
\(134\) | 331.789i | 2.47604i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 13.6288 | + | 23.6058i | 0.100212 | + | 0.173572i | ||||
\(137\) | 9.48345 | − | 35.3927i | 0.0692222 | − | 0.258341i | −0.922639 | − | 0.385665i | \(-0.873972\pi\) |
0.991861 | + | 0.127324i | \(0.0406388\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 84.6491i | − | 0.608986i | −0.952515 | − | 0.304493i | \(-0.901513\pi\) | ||
0.952515 | − | 0.304493i | \(-0.0984870\pi\) | |||||||
\(140\) | 162.374 | + | 58.4552i | 1.15981 | + | 0.417537i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −350.662 | + | 93.9595i | −2.46945 | + | 0.661687i | ||||
\(143\) | 72.3374 | + | 19.3828i | 0.505856 | + | 0.135544i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 183.499 | + | 5.90941i | 1.26551 | + | 0.0407546i | ||||
\(146\) | −14.5448 | −0.0996217 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 158.037 | − | 158.037i | 1.06782 | − | 1.06782i | ||||
\(149\) | −28.2589 | − | 16.3153i | −0.189657 | − | 0.109499i | 0.402165 | − | 0.915567i | \(-0.368258\pi\) |
−0.591822 | + | 0.806069i | \(0.701591\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 78.0454 | + | 135.179i | 0.516857 | + | 0.895223i | 0.999808 | + | 0.0195756i | \(0.00623149\pi\) |
−0.482951 | + | 0.875647i | \(0.660435\pi\) | |||||||
\(152\) | 14.2080 | − | 3.80702i | 0.0934737 | − | 0.0250462i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 280.491 | + | 14.4770i | 1.82137 | + | 0.0940063i | ||||
\(155\) | 85.6740 | − | 45.8523i | 0.552735 | − | 0.295821i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 17.2166 | − | 64.2534i | 0.109660 | − | 0.409257i | −0.889172 | − | 0.457573i | \(-0.848719\pi\) |
0.998832 | + | 0.0483159i | \(0.0153854\pi\) | |||||||
\(158\) | 386.662 | + | 103.606i | 2.44723 | + | 0.655733i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 216.429 | + | 65.5272i | 1.35268 | + | 0.409545i | ||||
\(161\) | 44.9553 | + | 29.1437i | 0.279225 | + | 0.181017i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −15.1289 | − | 56.4617i | −0.0928152 | − | 0.346391i | 0.903864 | − | 0.427820i | \(-0.140718\pi\) |
−0.996679 | + | 0.0814289i | \(0.974052\pi\) | |||||||
\(164\) | −247.369 | + | 142.818i | −1.50835 | + | 0.870844i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 210.658 | − | 364.871i | 1.26902 | − | 2.19802i | ||||
\(167\) | 93.0212 | + | 93.0212i | 0.557013 | + | 0.557013i | 0.928456 | − | 0.371443i | \(-0.121137\pi\) |
−0.371443 | + | 0.928456i | \(0.621137\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 137.888i | 0.815905i | ||||||||
\(170\) | −146.358 | − | 4.71331i | −0.860927 | − | 0.0277254i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 83.6255 | − | 312.095i | 0.486195 | − | 1.81450i | ||||
\(173\) | −62.6748 | − | 233.906i | −0.362282 | − | 1.35206i | −0.871068 | − | 0.491162i | \(-0.836572\pi\) |
0.508786 | − | 0.860893i | \(-0.330094\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −137.229 | + | 108.596i | −0.784166 | + | 0.620551i | ||||
\(176\) | 153.206 | 0.870486 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −68.5435 | − | 18.3662i | −0.385076 | − | 0.103181i | ||||
\(179\) | −228.989 | + | 132.207i | −1.27927 | + | 0.738585i | −0.976713 | − | 0.214548i | \(-0.931172\pi\) |
−0.302553 | + | 0.953133i | \(0.597839\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 286.020 | 1.58022 | 0.790110 | − | 0.612965i | \(-0.210023\pi\) | ||||
0.790110 | + | 0.612965i | \(0.210023\pi\) | |||||||
\(182\) | −24.3501 | − | 114.113i | −0.133792 | − | 0.626996i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −18.4357 | − | 10.6439i | −0.100194 | − | 0.0578471i | ||||
\(185\) | 51.5816 | + | 220.690i | 0.278819 | + | 1.19292i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −127.094 | + | 34.0548i | −0.679649 | + | 0.182111i | ||||
\(188\) | 221.525 | − | 221.525i | 1.17832 | − | 1.17832i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −22.8983 | + | 75.6303i | −0.120517 | + | 0.398054i | ||||
\(191\) | −38.1037 | + | 65.9976i | −0.199496 | + | 0.345537i | −0.948365 | − | 0.317181i | \(-0.897264\pi\) |
0.748869 | + | 0.662718i | \(0.230597\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −236.585 | − | 63.3927i | −1.22583 | − | 0.328459i | −0.412874 | − | 0.910788i | \(-0.635475\pi\) |
−0.812953 | + | 0.582329i | \(0.802142\pi\) | |||||||
\(194\) | 149.728 | + | 86.4456i | 0.771795 | + | 0.445596i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −98.6195 | − | 220.561i | −0.503161 | − | 1.12531i | ||||
\(197\) | −136.078 | − | 136.078i | −0.690750 | − | 0.690750i | 0.271647 | − | 0.962397i | \(-0.412432\pi\) |
−0.962397 | + | 0.271647i | \(0.912432\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 107.888 | − | 62.2892i | 0.542151 | − | 0.313011i | −0.203799 | − | 0.979013i | \(-0.565329\pi\) |
0.745950 | + | 0.666002i | \(0.231996\pi\) | |||||||
\(200\) | 52.2302 | − | 45.9030i | 0.261151 | − | 0.229515i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 144.373 | + | 144.373i | 0.714720 | + | 0.714720i | ||||
\(203\) | −172.139 | − | 190.875i | −0.847975 | − | 0.940272i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.32309 | − | 289.500i | 0.0454785 | − | 1.41220i | ||||
\(206\) | −189.594 | − | 328.387i | −0.920360 | − | 1.59411i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −16.4733 | − | 61.4790i | −0.0791984 | − | 0.295572i | ||||
\(209\) | 71.0040i | 0.339732i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −25.5567 | −0.121122 | −0.0605610 | − | 0.998164i | \(-0.519289\pi\) | ||||
−0.0605610 | + | 0.998164i | \(0.519289\pi\) | |||||||
\(212\) | 191.721 | − | 51.3715i | 0.904344 | − | 0.242318i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 157.078 | − | 90.6889i | 0.734008 | − | 0.423780i | ||||
\(215\) | 224.102 | + | 239.017i | 1.04234 | + | 1.11170i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −129.416 | − | 41.9365i | −0.596388 | − | 0.193256i | ||||
\(218\) | −45.5252 | + | 45.5252i | −0.208831 | + | 0.208831i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 174.644 | − | 281.184i | 0.793836 | − | 1.27811i | ||||
\(221\) | 27.3313 | + | 47.3393i | 0.123671 | + | 0.214205i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −58.9789 | + | 58.9789i | −0.264479 | + | 0.264479i | −0.826871 | − | 0.562392i | \(-0.809881\pi\) |
0.562392 | + | 0.826871i | \(0.309881\pi\) | |||||||
\(224\) | −143.949 | − | 281.964i | −0.642631 | − | 1.25877i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 26.1914 | − | 45.3649i | 0.115891 | − | 0.200730i | ||||
\(227\) | −106.629 | + | 397.945i | −0.469732 | + | 1.75306i | 0.170972 | + | 0.985276i | \(0.445309\pi\) |
−0.640704 | + | 0.767788i | \(0.721358\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −325.569 | − | 187.967i | −1.42170 | − | 0.820818i | −0.425255 | − | 0.905074i | \(-0.639816\pi\) |
−0.996444 | + | 0.0842553i | \(0.973149\pi\) | |||||||
\(230\) | 100.829 | − | 53.9634i | 0.438389 | − | 0.234624i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 72.2163 | + | 72.2163i | 0.311277 | + | 0.311277i | ||||
\(233\) | −6.28523 | − | 23.4568i | −0.0269752 | − | 0.100673i | 0.951126 | − | 0.308804i | \(-0.0999287\pi\) |
−0.978101 | + | 0.208131i | \(0.933262\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 72.3034 | + | 309.348i | 0.307674 | + | 1.31638i | ||||
\(236\) | 172.091 | − | 298.070i | 0.729199 | − | 1.26301i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 137.297 | + | 152.241i | 0.576878 | + | 0.639668i | ||||
\(239\) | − | 50.6675i | − | 0.211998i | −0.994366 | − | 0.105999i | \(-0.966196\pi\) | ||
0.994366 | − | 0.105999i | \(-0.0338040\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 58.3080 | + | 100.992i | 0.241942 | + | 0.419055i | 0.961267 | − | 0.275618i | \(-0.0888824\pi\) |
−0.719326 | + | 0.694673i | \(0.755549\pi\) | |||||||
\(242\) | 45.8390 | − | 171.074i | 0.189417 | − | 0.706916i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 389.057i | 1.59449i | ||||||||
\(245\) | 242.760 | + | 33.0541i | 0.990857 | + | 0.134915i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 28.4928 | − | 7.63463i | 0.115356 | − | 0.0309094i | ||||
\(248\) | 52.2129 | + | 13.9904i | 0.210536 | + | 0.0564130i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 61.4383 | + | 368.467i | 0.245753 | + | 1.47387i | ||||
\(251\) | −320.629 | −1.27741 | −0.638704 | − | 0.769452i | \(-0.720529\pi\) | ||||
−0.638704 | + | 0.769452i | \(0.720529\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 72.6621 | − | 72.6621i | 0.287202 | − | 0.287202i | ||||
\(254\) | 77.1488 | + | 44.5419i | 0.303736 | + | 0.175362i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −49.6319 | − | 85.9650i | −0.193875 | − | 0.335801i | ||||
\(257\) | 191.876 | − | 51.4131i | 0.746600 | − | 0.200051i | 0.134591 | − | 0.990901i | \(-0.457028\pi\) |
0.612009 | + | 0.790850i | \(0.290361\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 172.600 | − | 266.242i | 0.666407 | − | 1.02796i | ||||
\(260\) | −131.613 | − | 39.8480i | −0.506204 | − | 0.153261i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −96.8516 | + | 361.455i | −0.369663 | + | 1.37960i | ||||
\(263\) | 15.3255 | + | 4.10646i | 0.0582720 | + | 0.0156139i | 0.287837 | − | 0.957679i | \(-0.407064\pi\) |
−0.229565 | + | 0.973293i | \(0.573730\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −58.3240 | + | 192.637i | −0.220091 | + | 0.726933i | ||||
\(266\) | 98.5313 | − | 50.3026i | 0.370418 | − | 0.189108i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −141.686 | − | 528.778i | −0.528677 | − | 1.97305i | ||||
\(269\) | 89.8942 | − | 51.9004i | 0.334179 | − | 0.192938i | −0.323516 | − | 0.946223i | \(-0.604865\pi\) |
0.657695 | + | 0.753284i | \(0.271532\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 78.5571 | − | 136.065i | 0.289878 | − | 0.502084i | −0.683902 | − | 0.729574i | \(-0.739718\pi\) |
0.973781 | + | 0.227490i | \(0.0730518\pi\) | |||||||
\(272\) | 79.0736 | + | 79.0736i | 0.290712 | + | 0.290712i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 109.500i | 0.399634i | ||||||||
\(275\) | 148.777 | + | 300.883i | 0.541009 | + | 1.09412i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 54.1211 | − | 201.983i | 0.195383 | − | 0.729179i | −0.796784 | − | 0.604264i | \(-0.793467\pi\) |
0.992167 | − | 0.124916i | \(-0.0398660\pi\) | |||||||
\(278\) | 65.4729 | + | 244.348i | 0.235514 | + | 0.878950i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −97.0073 | − | 8.14441i | −0.346455 | − | 0.0290872i | ||||
\(281\) | −454.909 | −1.61889 | −0.809446 | − | 0.587194i | \(-0.800232\pi\) | ||||
−0.809446 | + | 0.587194i | \(0.800232\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 99.1636 | + | 26.5708i | 0.350401 | + | 0.0938898i | 0.429727 | − | 0.902959i | \(-0.358610\pi\) |
−0.0793253 | + | 0.996849i | \(0.525277\pi\) | |||||||
\(284\) | 518.731 | − | 299.489i | 1.82652 | − | 1.05454i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −223.801 | −0.782522 | ||||||||
\(287\) | −301.138 | + | 271.578i | −1.04926 | + | 0.946266i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 167.108 | + | 96.4798i | 0.578228 | + | 0.333840i | ||||
\(290\) | −534.259 | + | 124.871i | −1.84227 | + | 0.430591i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 23.1802 | − | 6.21112i | 0.0793843 | − | 0.0212710i | ||||
\(293\) | −102.346 | + | 102.346i | −0.349302 | + | 0.349302i | −0.859850 | − | 0.510547i | \(-0.829443\pi\) |
0.510547 | + | 0.859850i | \(0.329443\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 164.690 | + | 307.719i | 0.558270 | + | 1.04311i | ||||
\(296\) | −63.0369 | + | 109.183i | −0.212963 | + | 0.368862i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 94.1914 | + | 25.2385i | 0.316079 | + | 0.0846930i | ||||
\(299\) | −36.9711 | − | 21.3453i | −0.123649 | − | 0.0713889i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 23.6435 | − | 458.092i | 0.0785498 | − | 1.52190i | ||||
\(302\) | −329.842 | − | 329.842i | −1.09219 | − | 1.09219i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 52.2610 | − | 30.1729i | 0.171911 | − | 0.0992529i | ||||
\(305\) | −335.141 | − | 208.157i | −1.09882 | − | 0.682481i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 29.1999 | + | 29.1999i | 0.0951137 | + | 0.0951137i | 0.753063 | − | 0.657949i | \(-0.228576\pi\) |
−0.657949 | + | 0.753063i | \(0.728576\pi\) | |||||||
\(308\) | −453.205 | + | 96.7072i | −1.47144 | + | 0.313985i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −211.842 | + | 198.623i | −0.683360 | + | 0.640719i | ||||
\(311\) | 201.089 | + | 348.297i | 0.646589 | + | 1.11992i | 0.983932 | + | 0.178543i | \(0.0571384\pi\) |
−0.337343 | + | 0.941382i | \(0.609528\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 74.2751 | + | 277.198i | 0.237301 | + | 0.885618i | 0.977098 | + | 0.212788i | \(0.0682545\pi\) |
−0.739798 | + | 0.672829i | \(0.765079\pi\) | |||||||
\(314\) | 198.790i | 0.633091i | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −660.473 | −2.09010 | ||||||||
\(317\) | 335.924 | − | 90.0106i | 1.05970 | − | 0.283945i | 0.313444 | − | 0.949607i | \(-0.398517\pi\) |
0.746254 | + | 0.665662i | \(0.231851\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −426.947 | + | 246.498i | −1.33839 | + | 0.772721i | ||||
\(320\) | −447.327 | − | 14.4058i | −1.39790 | − | 0.0450180i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −152.310 | − | 49.3549i | −0.473011 | − | 0.153276i | ||||
\(323\) | −36.6471 | + | 36.6471i | −0.113458 | + | 0.113458i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 104.743 | − | 92.0542i | 0.322285 | − | 0.283244i | ||||
\(326\) | 87.3421 | + | 151.281i | 0.267921 | + | 0.464052i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 113.933 | − | 113.933i | 0.347358 | − | 0.347358i | ||||
\(329\) | 241.938 | − | 373.199i | 0.735373 | − | 1.13434i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −36.2176 | + | 62.7307i | −0.109419 | + | 0.189519i | −0.915535 | − | 0.402239i | \(-0.868232\pi\) |
0.806116 | + | 0.591757i | \(0.201566\pi\) | |||||||
\(332\) | −179.917 | + | 671.458i | −0.541918 | + | 2.02246i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −340.464 | − | 196.567i | −1.01935 | − | 0.588523i | ||||
\(335\) | 531.305 | + | 160.861i | 1.58598 | + | 0.480182i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −255.737 | − | 255.737i | −0.758865 | − | 0.758865i | 0.217251 | − | 0.976116i | \(-0.430291\pi\) |
−0.976116 | + | 0.217251i | \(0.930291\pi\) | |||||||
\(338\) | −106.651 | − | 398.028i | −0.315536 | − | 1.17760i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 235.265 | − | 54.9881i | 0.691956 | − | 0.161730i | ||||
\(341\) | −130.466 | + | 225.974i | −0.382599 | + | 0.662680i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −202.270 | − | 277.013i | −0.589707 | − | 0.807617i | ||||
\(344\) | 182.261i | 0.529829i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 361.835 | + | 626.716i | 1.04576 | + | 1.81132i | ||||
\(347\) | 74.6974 | − | 278.775i | 0.215266 | − | 0.803385i | −0.770806 | − | 0.637070i | \(-0.780146\pi\) |
0.986073 | − | 0.166315i | \(-0.0531869\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 480.492i | 1.37677i | 0.725347 | + | 0.688384i | \(0.241680\pi\) | ||||
−0.725347 | + | 0.688384i | \(0.758320\pi\) | |||||||
\(350\) | 312.131 | − | 419.616i | 0.891802 | − | 1.19890i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −586.529 | + | 157.160i | −1.66627 | + | 0.446477i | ||||
\(353\) | 93.2268 | + | 24.9800i | 0.264098 | + | 0.0707650i | 0.388438 | − | 0.921475i | \(-0.373015\pi\) |
−0.124340 | + | 0.992240i | \(0.539681\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −19.5505 | + | 607.080i | −0.0550718 | + | 1.71009i | ||||
\(356\) | 117.082 | 0.328882 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 558.742 | − | 558.742i | 1.56073 | − | 1.56073i | ||||
\(359\) | −280.865 | − | 162.157i | −0.782353 | − | 0.451692i | 0.0549104 | − | 0.998491i | \(-0.482513\pi\) |
−0.837264 | + | 0.546799i | \(0.815846\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −166.516 | − | 288.415i | −0.461264 | − | 0.798932i | ||||
\(362\) | −825.626 | + | 221.226i | −2.28073 | + | 0.611121i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 87.5375 | + | 171.466i | 0.240488 | + | 0.471060i | ||||
\(365\) | −7.05173 | + | 23.2910i | −0.0193198 | + | 0.0638110i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −66.7783 | + | 249.220i | −0.181957 | + | 0.679074i | 0.813304 | + | 0.581839i | \(0.197667\pi\) |
−0.995261 | + | 0.0972351i | \(0.969000\pi\) | |||||||
\(368\) | −84.3589 | − | 22.6039i | −0.229236 | − | 0.0614237i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −319.591 | − | 597.149i | −0.863760 | − | 1.61392i | ||||
\(371\) | 250.968 | − | 128.125i | 0.676464 | − | 0.345352i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 127.015 | + | 474.026i | 0.340523 | + | 1.27085i | 0.897756 | + | 0.440492i | \(0.145196\pi\) |
−0.557234 | + | 0.830356i | \(0.688137\pi\) | |||||||
\(374\) | 340.531 | − | 196.605i | 0.910510 | − | 0.525683i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −88.3607 | + | 153.045i | −0.235002 | + | 0.407035i | ||||
\(377\) | 144.823 | + | 144.823i | 0.384145 | + | 0.384145i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 177.802i | − | 0.469134i | −0.972100 | − | 0.234567i | \(-0.924633\pi\) | ||
0.972100 | − | 0.234567i | \(-0.0753672\pi\) | |||||||
\(380\) | 4.19656 | − | 130.312i | 0.0110436 | − | 0.342925i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 58.9436 | − | 219.981i | 0.154303 | − | 0.575866i | ||||
\(383\) | 119.288 | + | 445.189i | 0.311457 | + | 1.16237i | 0.927243 | + | 0.374460i | \(0.122172\pi\) |
−0.615786 | + | 0.787913i | \(0.711162\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 159.173 | − | 442.141i | 0.413435 | − | 1.14842i | ||||
\(386\) | 731.958 | 1.89626 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −275.540 | − | 73.8306i | −0.710153 | − | 0.190285i | ||||
\(389\) | −258.574 | + | 149.288i | −0.664714 | + | 0.383773i | −0.794071 | − | 0.607825i | \(-0.792042\pi\) |
0.129357 | + | 0.991598i | \(0.458709\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 75.0058 | 0.191831 | ||||||||
\(392\) | 85.9367 | + | 105.780i | 0.219226 | + | 0.269846i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 498.053 | + | 287.551i | 1.26409 | + | 0.729825i | ||||
\(395\) | 353.372 | − | 568.944i | 0.894614 | − | 1.44036i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 86.8147 | − | 23.2619i | 0.218677 | − | 0.0585943i | −0.147817 | − | 0.989015i | \(-0.547225\pi\) |
0.366494 | + | 0.930420i | \(0.380558\pi\) | |||||||
\(398\) | −263.252 | + | 263.252i | −0.661436 | + | 0.661436i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 158.236 | − | 237.364i | 0.395591 | − | 0.593409i | ||||
\(401\) | 48.6620 | − | 84.2851i | 0.121352 | − | 0.210187i | −0.798949 | − | 0.601398i | \(-0.794610\pi\) |
0.920301 | + | 0.391211i | \(0.127944\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 104.708 | + | 28.0565i | 0.259822 | + | 0.0696190i | ||||
\(404\) | −291.743 | − | 168.438i | −0.722135 | − | 0.416925i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 644.532 | + | 417.838i | 1.58752 | + | 1.02916i | ||||
\(407\) | −430.332 | − | 430.332i | −1.05733 | − | 1.05733i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 232.510 | − | 134.240i | 0.568485 | − | 0.328215i | −0.188059 | − | 0.982158i | \(-0.560220\pi\) |
0.756544 | + | 0.653943i | \(0.226886\pi\) | |||||||
\(410\) | 197.006 | + | 842.883i | 0.480502 | + | 2.05581i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 442.392 | + | 442.392i | 1.07377 | + | 1.07377i | ||||
\(413\) | 150.625 | − | 464.830i | 0.364710 | − | 1.12550i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −482.146 | − | 514.234i | −1.16180 | − | 1.23912i | ||||
\(416\) | 126.132 | + | 218.466i | 0.303201 | + | 0.525160i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −54.9190 | − | 204.960i | −0.131385 | − | 0.490336i | ||||
\(419\) | − | 515.863i | − | 1.23118i | −0.788068 | − | 0.615588i | \(-0.788919\pi\) | ||
0.788068 | − | 0.615588i | \(-0.211081\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −470.236 | −1.11695 | −0.558475 | − | 0.829521i | \(-0.688613\pi\) | ||||
−0.558475 | + | 0.829521i | \(0.688613\pi\) | |||||||
\(422\) | 73.7721 | − | 19.7672i | 0.174815 | − | 0.0468417i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −96.9634 | + | 55.9819i | −0.228687 | + | 0.132033i | ||||
\(425\) | −78.5060 | + | 232.082i | −0.184720 | + | 0.546075i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 115.265 | + | 540.172i | 0.269941 | + | 1.26504i | ||||
\(428\) | −211.610 | + | 211.610i | −0.494416 | + | 0.494416i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −831.764 | − | 516.611i | −1.93434 | − | 1.20142i | ||||
\(431\) | 135.577 | + | 234.827i | 0.314564 | + | 0.544841i | 0.979345 | − | 0.202198i | \(-0.0648083\pi\) |
−0.664781 | + | 0.747039i | \(0.731475\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −135.694 | + | 135.694i | −0.313381 | + | 0.313381i | −0.846218 | − | 0.532837i | \(-0.821126\pi\) |
0.532837 | + | 0.846218i | \(0.321126\pi\) | |||||||
\(434\) | 406.009 | + | 20.9554i | 0.935506 | + | 0.0482842i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 53.1134 | − | 91.9950i | 0.121820 | − | 0.210998i | ||||
\(437\) | 10.4759 | − | 39.0966i | 0.0239723 | − | 0.0894660i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 406.331 | + | 234.596i | 0.925584 | + | 0.534386i | 0.885412 | − | 0.464806i | \(-0.153876\pi\) |
0.0401720 | + | 0.999193i | \(0.487209\pi\) | |||||||
\(440\) | −54.1064 | + | 178.707i | −0.122969 | + | 0.406153i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −115.510 | − | 115.510i | −0.261335 | − | 0.261335i | ||||
\(443\) | −79.5993 | − | 297.069i | −0.179682 | − | 0.670584i | −0.995707 | − | 0.0925661i | \(-0.970493\pi\) |
0.816024 | − | 0.578018i | \(-0.196174\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −62.6423 | + | 100.857i | −0.140769 | + | 0.226644i | ||||
\(446\) | 124.631 | − | 215.867i | 0.279441 | − | 0.484006i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 419.635 | + | 465.309i | 0.936685 | + | 1.03864i | ||||
\(449\) | 556.174i | 1.23870i | 0.785117 | + | 0.619348i | \(0.212603\pi\) | ||||
−0.785117 | + | 0.619348i | \(0.787397\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 388.892 | + | 673.581i | 0.862289 | + | 1.49353i | ||||
\(452\) | −22.3693 | + | 83.4834i | −0.0494896 | + | 0.184698i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | − | 1231.18i | − | 2.71186i | ||||||
\(455\) | −194.539 | − | 16.3328i | −0.427558 | − | 0.0358964i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 496.047 | − | 132.915i | 1.08544 | − | 0.290843i | 0.328618 | − | 0.944463i | \(-0.393417\pi\) |
0.756823 | + | 0.653620i | \(0.226750\pi\) | |||||||
\(458\) | 1085.17 | + | 290.772i | 2.36938 | + | 0.634872i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −137.649 | + | 129.060i | −0.299237 | + | 0.280565i | ||||
\(461\) | 140.261 | 0.304254 | 0.152127 | − | 0.988361i | \(-0.451388\pi\) | ||||
0.152127 | + | 0.988361i | \(0.451388\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −440.572 | + | 440.572i | −0.951560 | + | 0.951560i | −0.998880 | − | 0.0473198i | \(-0.984932\pi\) |
0.0473198 | + | 0.998880i | \(0.484932\pi\) | |||||||
\(464\) | 362.859 | + | 209.497i | 0.782024 | + | 0.451502i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 36.2859 | + | 62.8490i | 0.0778667 | + | 0.134869i | ||||
\(467\) | 428.655 | − | 114.858i | 0.917892 | − | 0.245948i | 0.231208 | − | 0.972904i | \(-0.425732\pi\) |
0.686684 | + | 0.726956i | \(0.259066\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −353.377 | − | 692.185i | −0.753470 | − | 1.47587i | ||||
\(470\) | −447.980 | − | 837.041i | −0.953150 | − | 1.78094i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −50.2500 | + | 187.535i | −0.106462 | + | 0.397321i | ||||
\(473\) | −849.829 | − | 227.711i | −1.79668 | − | 0.481419i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 110.008 | + | 73.3355i | 0.231595 | + | 0.154391i | ||||
\(476\) | −283.825 | − | 183.998i | −0.596270 | − | 0.386551i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 39.1894 | + | 146.257i | 0.0819862 | + | 0.305977i | ||||
\(479\) | 190.500 | − | 109.985i | 0.397703 | − | 0.229614i | −0.287789 | − | 0.957694i | \(-0.592920\pi\) |
0.685492 | + | 0.728080i | \(0.259587\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −126.415 | + | 218.957i | −0.262816 | + | 0.455211i | ||||
\(482\) | −246.426 | − | 246.426i | −0.511257 | − | 0.511257i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 292.217i | 0.603755i | ||||||||
\(485\) | 211.021 | − | 197.853i | 0.435095 | − | 0.407945i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −100.187 | + | 373.904i | −0.205723 | + | 0.767770i | 0.783504 | + | 0.621386i | \(0.213430\pi\) |
−0.989228 | + | 0.146384i | \(0.953237\pi\) | |||||||
\(488\) | −56.8016 | − | 211.987i | −0.116397 | − | 0.434399i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −726.318 | + | 92.3518i | −1.48228 | + | 0.188473i | ||||
\(491\) | −285.045 | −0.580539 | −0.290269 | − | 0.956945i | \(-0.593745\pi\) | ||||
−0.290269 | + | 0.956945i | \(0.593745\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −347.583 | − | 93.1347i | −0.705037 | − | 0.188914i | ||||
\(494\) | −76.3423 | + | 44.0763i | −0.154539 | + | 0.0892232i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 221.764 | 0.447106 | ||||||||
\(497\) | 631.484 | − | 569.498i | 1.27059 | − | 1.14587i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 439.080 | + | 253.503i | 0.879920 | + | 0.508022i | 0.870632 | − | 0.491935i | \(-0.163710\pi\) |
0.00928793 | + | 0.999957i | \(0.497044\pi\) | |||||||
\(500\) | −255.263 | − | 560.995i | −0.510527 | − | 1.12199i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 925.530 | − | 247.995i | 1.84368 | − | 0.494014i | ||||
\(503\) | −261.451 | + | 261.451i | −0.519784 | + | 0.519784i | −0.917506 | − | 0.397722i | \(-0.869801\pi\) |
0.397722 | + | 0.917506i | \(0.369801\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 301.186 | − | 161.193i | 0.596408 | − | 0.319195i | ||||
\(506\) | −153.545 | + | 265.948i | −0.303449 | + | 0.525589i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −141.974 | − | 38.0419i | −0.279477 | − | 0.0748856i | ||||
\(509\) | −9.46947 | − | 5.46720i | −0.0186041 | − | 0.0107411i | 0.490669 | − | 0.871346i | \(-0.336752\pi\) |
−0.509273 | + | 0.860605i | \(0.670086\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 30.3436 | − | 15.4911i | 0.0593808 | − | 0.0303153i | ||||
\(512\) | 454.686 | + | 454.686i | 0.888059 | + | 0.888059i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −514.104 | + | 296.818i | −1.00020 | + | 0.577467i | ||||
\(515\) | −617.777 | + | 144.392i | −1.19957 | + | 0.280373i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −603.209 | − | 603.209i | −1.16675 | − | 1.16675i | ||||
\(518\) | −292.298 | + | 902.033i | −0.564282 | + | 1.74138i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 77.5302 | + | 2.49679i | 0.149096 | + | 0.00480152i | ||||
\(521\) | −71.2494 | − | 123.408i | −0.136755 | − | 0.236867i | 0.789511 | − | 0.613736i | \(-0.210334\pi\) |
−0.926267 | + | 0.376869i | \(0.877001\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.25954 | + | 30.8250i | 0.0157926 | + | 0.0589389i | 0.973372 | − | 0.229229i | \(-0.0736205\pi\) |
−0.957580 | + | 0.288168i | \(0.906954\pi\) | |||||||
\(524\) | − | 617.416i | − | 1.17827i | ||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −47.4149 | −0.0901424 | ||||||||
\(527\) | −183.968 | + | 49.2942i | −0.349086 | + | 0.0935374i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 407.397 | − | 235.211i | 0.770127 | − | 0.444633i | ||||
\(530\) | 19.3604 | − | 601.179i | 0.0365291 | − | 1.13430i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −135.550 | + | 122.244i | −0.254793 | + | 0.229783i | ||||
\(533\) | 228.483 | − | 228.483i | 0.428673 | − | 0.428673i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −69.0672 | − | 295.502i | −0.129098 | − | 0.552341i | ||||
\(536\) | 154.401 | + | 267.431i | 0.288062 | + | 0.498938i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −219.346 | + | 219.346i | −0.407706 | + | 0.407706i | ||||
\(539\) | −600.585 | + | 268.539i | −1.11426 | + | 0.498218i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −86.8285 | + | 150.391i | −0.160496 | + | 0.277988i | −0.935047 | − | 0.354524i | \(-0.884643\pi\) |
0.774551 | + | 0.632512i | \(0.217976\pi\) | |||||||
\(542\) | −121.522 | + | 453.526i | −0.224210 | + | 0.836764i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −383.838 | − | 221.609i | −0.705584 | − | 0.407369i | ||||
\(545\) | 50.8291 | + | 94.9729i | 0.0932643 | + | 0.174262i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 95.8716 | + | 95.8716i | 0.175268 | + | 0.175268i | 0.789289 | − | 0.614021i | \(-0.210449\pi\) |
−0.614021 | + | 0.789289i | \(0.710449\pi\) | |||||||
\(548\) | −46.7602 | − | 174.511i | −0.0853289 | − | 0.318452i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −662.183 | − | 753.457i | −1.20397 | − | 1.36992i | ||||
\(551\) | −97.0925 | + | 168.169i | −0.176211 | + | 0.305207i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −917.009 | + | 195.676i | −1.65824 | + | 0.353845i | ||||
\(554\) | 624.904i | 1.12799i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −208.690 | − | 361.462i | −0.375342 | − | 0.650112i | ||||
\(557\) | −12.5270 | + | 46.7512i | −0.0224900 | + | 0.0839340i | −0.976259 | − | 0.216608i | \(-0.930501\pi\) |
0.953769 | + | 0.300542i | \(0.0971674\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 365.508i | 0.653860i | ||||||||
\(560\) | −393.068 | + | 70.7304i | −0.701907 | + | 0.126304i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 1313.14 | − | 351.855i | 2.33655 | − | 0.626076i | ||||
\(563\) | −272.294 | − | 72.9609i | −0.483648 | − | 0.129593i | 0.00875281 | − | 0.999962i | \(-0.497214\pi\) |
−0.492401 | + | 0.870369i | \(0.663881\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −59.9460 | − | 63.9355i | −0.106099 | − | 0.113160i | ||||
\(566\) | −306.797 | −0.542045 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −238.918 | + | 238.918i | −0.420629 | + | 0.420629i | ||||
\(569\) | 466.721 | + | 269.461i | 0.820247 | + | 0.473570i | 0.850502 | − | 0.525972i | \(-0.176298\pi\) |
−0.0302544 | + | 0.999542i | \(0.509632\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 150.339 | + | 260.394i | 0.263290 | + | 0.456032i | 0.967114 | − | 0.254342i | \(-0.0818590\pi\) |
−0.703824 | + | 0.710374i | \(0.748526\pi\) | |||||||
\(572\) | 356.676 | − | 95.5709i | 0.623559 | − | 0.167082i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 659.210 | − | 1016.86i | 1.14845 | − | 1.77153i | ||||
\(575\) | −37.5284 | − | 187.625i | −0.0652668 | − | 0.326304i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 72.3090 | − | 269.861i | 0.125319 | − | 0.467697i | −0.874532 | − | 0.484968i | \(-0.838831\pi\) |
0.999851 | + | 0.0172714i | \(0.00549794\pi\) | |||||||
\(578\) | −556.998 | − | 149.247i | −0.963664 | − | 0.258213i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 798.132 | − | 427.156i | 1.37609 | − | 0.736477i | ||||
\(581\) | −50.8680 | + | 985.565i | −0.0875524 | + | 1.69633i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −139.884 | − | 522.053i | −0.239938 | − | 0.895460i | ||||
\(584\) | −11.7235 | + | 6.76855i | −0.0200744 | + | 0.0115900i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 216.271 | − | 374.592i | 0.369062 | − | 0.639235i | ||||
\(587\) | 210.055 | + | 210.055i | 0.357845 | + | 0.357845i | 0.863018 | − | 0.505173i | \(-0.168571\pi\) |
−0.505173 | + | 0.863018i | \(0.668571\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 102.778i | 0.174496i | ||||||||
\(590\) | −713.403 | − | 760.881i | −1.20916 | − | 1.28963i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −133.869 | + | 499.605i | −0.226129 | + | 0.843927i | ||||
\(593\) | 271.762 | + | 1014.23i | 0.458284 | + | 1.71034i | 0.678250 | + | 0.734831i | \(0.262739\pi\) |
−0.219966 | + | 0.975508i | \(0.570595\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 310.354 | − | 146.047i | 0.521603 | − | 0.245458i | ||||
\(596\) | −160.892 | −0.269953 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 123.231 | + | 33.0196i | 0.206071 | + | 0.0552167i | ||||
\(599\) | 516.500 | − | 298.201i | 0.862270 | − | 0.497832i | −0.00250190 | − | 0.999997i | \(-0.500796\pi\) |
0.864772 | + | 0.502165i | \(0.167463\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −480.552 | −0.799588 | −0.399794 | − | 0.916605i | \(-0.630918\pi\) | ||||
−0.399794 | + | 0.916605i | \(0.630918\pi\) | |||||||
\(602\) | 286.068 | + | 1340.62i | 0.475196 | + | 2.22694i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 666.528 | + | 384.820i | 1.10352 | + | 0.637119i | ||||
\(605\) | −251.722 | − | 156.345i | −0.416069 | − | 0.258421i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 822.130 | − | 220.289i | 1.35441 | − | 0.362914i | 0.492652 | − | 0.870226i | \(-0.336028\pi\) |
0.861762 | + | 0.507312i | \(0.169361\pi\) | |||||||
\(608\) | −169.123 | + | 169.123i | −0.278163 | + | 0.278163i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1128.42 | + | 341.647i | 1.84987 | + | 0.560077i | ||||
\(611\) | −177.199 | + | 306.918i | −0.290015 | + | 0.502320i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1030.27 | + | 276.060i | 1.68070 | + | 0.450343i | 0.967964 | − | 0.251089i | \(-0.0807885\pi\) |
0.712737 | + | 0.701431i | \(0.247455\pi\) | |||||||
\(614\) | −106.874 | − | 61.7035i | −0.174061 | − | 0.100494i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 232.820 | − | 118.860i | 0.377955 | − | 0.192955i | ||||
\(617\) | 270.729 | + | 270.729i | 0.438783 | + | 0.438783i | 0.891602 | − | 0.452819i | \(-0.149582\pi\) |
−0.452819 | + | 0.891602i | \(0.649582\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 136.247 | − | 78.6625i | 0.220109 | − | 0.127080i | −0.385892 | − | 0.922544i | \(-0.626106\pi\) |
0.606001 | + | 0.795464i | \(0.292773\pi\) | |||||||
\(620\) | 252.796 | − | 407.012i | 0.407736 | − | 0.656471i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −849.859 | − | 849.859i | −1.36633 | − | 1.36633i | ||||
\(623\) | 162.558 | − | 34.6875i | 0.260928 | − | 0.0556782i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 619.825 | + | 80.2602i | 0.991720 | + | 0.128416i | ||||
\(626\) | −428.805 | − | 742.712i | −0.684992 | − | 1.18644i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −84.8905 | − | 316.816i | −0.135176 | − | 0.504483i | ||||
\(629\) | − | 444.212i | − | 0.706219i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −131.406 | −0.208250 | −0.104125 | − | 0.994564i | \(-0.533204\pi\) | ||||
−0.104125 | + | 0.994564i | \(0.533204\pi\) | |||||||
\(632\) | 359.874 | − | 96.4279i | 0.569421 | − | 0.152576i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −900.060 | + | 519.650i | −1.41965 | + | 0.819637i | ||||
\(635\) | 108.730 | − | 101.946i | 0.171229 | − | 0.160545i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 172.338 | + | 212.131i | 0.270546 | + | 0.333016i | ||||
\(638\) | 1041.77 | − | 1041.77i | 1.63287 | − | 1.63287i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 421.613 | − | 98.5428i | 0.658770 | − | 0.153973i | ||||
\(641\) | 128.958 | + | 223.362i | 0.201182 | + | 0.348458i | 0.948910 | − | 0.315548i | \(-0.102188\pi\) |
−0.747727 | + | 0.664006i | \(0.768855\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 778.940 | − | 778.940i | 1.21142 | − | 1.21142i | 0.240854 | − | 0.970561i | \(-0.422573\pi\) |
0.970561 | − | 0.240854i | \(-0.0774274\pi\) | |||||||
\(644\) | 263.814 | + | 13.6162i | 0.409650 | + | 0.0211432i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 77.4404 | − | 134.131i | 0.119877 | − | 0.207633i | ||||
\(647\) | −98.6974 | + | 368.344i | −0.152546 | + | 0.569310i | 0.846757 | + | 0.531980i | \(0.178552\pi\) |
−0.999303 | + | 0.0373301i | \(0.988115\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −811.641 | − | 468.601i | −1.25060 | − | 0.722035i | ||||
\(650\) | −231.150 | + | 346.738i | −0.355615 | + | 0.533444i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −203.801 | − | 203.801i | −0.312578 | − | 0.312578i | ||||
\(653\) | −291.908 | − | 1089.41i | −0.447026 | − | 1.66832i | −0.710532 | − | 0.703665i | \(-0.751546\pi\) |
0.263506 | − | 0.964658i | \(-0.415121\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 531.854 | + | 330.336i | 0.811990 | + | 0.504329i | ||||
\(656\) | 330.517 | − | 572.472i | 0.503836 | − | 0.872670i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −409.723 | + | 1264.41i | −0.622679 | + | 1.92159i | ||||
\(659\) | − | 737.560i | − | 1.11921i | −0.828759 | − | 0.559605i | \(-0.810953\pi\) | ||
0.828759 | − | 0.559605i | \(-0.189047\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −166.939 | − | 289.147i | −0.252555 | − | 0.437439i | 0.711673 | − | 0.702511i | \(-0.247938\pi\) |
−0.964229 | + | 0.265072i | \(0.914604\pi\) | |||||||
\(662\) | 56.0259 | − | 209.092i | 0.0846313 | − | 0.315848i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 392.127i | − | 0.590553i | ||||||
\(665\) | −32.7804 | − | 182.170i | −0.0492939 | − | 0.273939i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 271.456 | − | 72.7365i | 0.406981 | − | 0.109050i | ||||
\(668\) | 626.543 | + | 167.882i | 0.937939 | + | 0.251320i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1658.09 | − | 53.3972i | −2.47476 | − | 0.0796973i | ||||
\(671\) | 1059.40 | 1.57883 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −183.139 | + | 183.139i | −0.272123 | + | 0.272123i | −0.829954 | − | 0.557831i | \(-0.811634\pi\) |
0.557831 | + | 0.829954i | \(0.311634\pi\) | |||||||
\(674\) | 936.016 | + | 540.409i | 1.38875 | + | 0.801794i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 339.943 | + | 588.799i | 0.502875 | + | 0.871005i | ||||
\(677\) | 806.946 | − | 216.220i | 1.19194 | − | 0.319380i | 0.392290 | − | 0.919842i | \(-0.371683\pi\) |
0.799654 | + | 0.600461i | \(0.205016\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −404.436 | − | 20.8742i | −0.595635 | − | 0.0307425i | ||||
\(680\) | −120.161 | + | 64.3098i | −0.176708 | + | 0.0945733i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 201.821 | − | 753.208i | 0.295926 | − | 1.10441i | ||||
\(683\) | 909.178 | + | 243.613i | 1.33115 | + | 0.356681i | 0.853145 | − | 0.521674i | \(-0.174692\pi\) |
0.478008 | + | 0.878355i | \(0.341359\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 175.346 | + | 53.0887i | 0.255979 | + | 0.0775017i | ||||
\(686\) | 798.131 | + | 643.177i | 1.16346 | + | 0.937576i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 193.530 | + | 722.263i | 0.281293 | + | 1.04980i | ||||
\(689\) | −194.451 | + | 112.266i | −0.282222 | + | 0.162941i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −409.191 | + | 708.740i | −0.592172 | + | 1.02567i | 0.401767 | + | 0.915742i | \(0.368396\pi\) |
−0.993939 | + | 0.109931i | \(0.964937\pi\) | |||||||
\(692\) | −844.291 | − | 844.291i | −1.22007 | − | 1.22007i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 862.487i | 1.24278i | ||||||||
\(695\) | 423.026 | + | 13.6232i | 0.608670 | + | 0.0196017i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −146.936 | + | 548.371i | −0.210812 | + | 0.786760i | ||||
\(698\) | −371.643 | − | 1386.99i | −0.532439 | − | 1.98709i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −318.257 | + | 802.040i | −0.454652 | + | 1.14577i | ||||
\(701\) | −480.047 | −0.684803 | −0.342402 | − | 0.939554i | \(-0.611240\pi\) | ||||
−0.342402 | + | 0.939554i | \(0.611240\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −231.545 | − | 62.0422i | −0.329366 | − | 0.0882535i | ||||
\(704\) | 1040.80 | − | 600.905i | 1.47841 | − | 0.853558i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −288.430 | −0.408541 | ||||||||
\(707\) | −454.962 | − | 147.427i | −0.643510 | − | 0.208525i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1211.17 | − | 699.271i | −1.70828 | − | 0.986278i | −0.936688 | − | 0.350166i | \(-0.886125\pi\) |
−0.771597 | − | 0.636112i | \(-0.780542\pi\) | |||||||
\(710\) | −413.120 | − | 1767.52i | −0.581859 | − | 2.48947i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −63.7948 | + | 17.0938i | −0.0895994 | + | 0.0240081i | ||||
\(713\) | 105.178 | − | 105.178i | 0.147515 | − | 0.147515i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −108.505 | + | 358.380i | −0.151756 | + | 0.501231i | ||||
\(716\) | −651.874 | + | 1129.08i | −0.910438 | + | 1.57693i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 936.168 | + | 250.845i | 1.30385 | + | 0.349367i | ||||
\(719\) | −742.957 | − | 428.946i | −1.03332 | − | 0.596587i | −0.115386 | − | 0.993321i | \(-0.536810\pi\) |
−0.917934 | + | 0.396734i | \(0.870144\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 745.289 | + | 483.157i | 1.03369 | + | 0.670120i | ||||
\(722\) | 703.744 | + | 703.744i | 0.974715 | + | 0.974715i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1221.34 | − | 705.142i | 1.68694 | − | 0.973953i | ||||
\(725\) | −59.0635 | + | 916.067i | −0.0814669 | + | 1.26354i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.47406 | + | 8.47406i | 0.0116562 | + | 0.0116562i | 0.712911 | − | 0.701255i | \(-0.247376\pi\) |
−0.701255 | + | 0.712911i | \(0.747376\pi\) | |||||||
\(728\) | −72.7305 | − | 80.6468i | −0.0999046 | − | 0.110779i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 2.34079 | − | 72.6862i | 0.00320656 | − | 0.0995701i | ||||
\(731\) | −321.092 | − | 556.147i | −0.439250 | − | 0.760804i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −288.580 | − | 1076.99i | −0.393697 | − | 1.46930i | −0.823989 | − | 0.566606i | \(-0.808256\pi\) |
0.430292 | − | 0.902690i | \(-0.358411\pi\) | |||||||
\(734\) | − | 771.050i | − | 1.05048i | ||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 346.145 | 0.470306 | ||||||||
\(737\) | −1439.85 | + | 385.807i | −1.95367 | + | 0.523483i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −635.156 | + | 366.708i | −0.859481 | + | 0.496221i | −0.863838 | − | 0.503769i | \(-0.831946\pi\) |
0.00435760 | + | 0.999991i | \(0.498613\pi\) | |||||||
\(740\) | 764.341 | + | 815.209i | 1.03289 | + | 1.10163i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −625.345 | + | 563.962i | −0.842784 | + | 0.760056i | ||||
\(743\) | 342.256 | − | 342.256i | 0.460641 | − | 0.460641i | −0.438225 | − | 0.898865i | \(-0.644393\pi\) |
0.898865 | + | 0.438225i | \(0.144393\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 86.0820 | − | 138.595i | 0.115546 | − | 0.186034i | ||||
\(746\) | −733.284 | − | 1270.08i | −0.982954 | − | 1.70253i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −458.752 | + | 458.752i | −0.613304 | + | 0.613304i | ||||
\(749\) | −231.109 | + | 356.495i | −0.308557 | + | 0.475961i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −217.704 | + | 377.075i | −0.289886 | + | 0.502097i | −0.973782 | − | 0.227482i | \(-0.926951\pi\) |
0.683897 | + | 0.729579i | \(0.260284\pi\) | |||||||
\(752\) | −187.648 | + | 700.310i | −0.249531 | + | 0.931264i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −530.061 | − | 306.031i | −0.702999 | − | 0.405877i | ||||
\(755\) | −688.103 | + | 368.270i | −0.911395 | + | 0.487774i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 136.675 | + | 136.675i | 0.180548 | + | 0.180548i | 0.791595 | − | 0.611047i | \(-0.209251\pi\) |
−0.611047 | + | 0.791595i | \(0.709251\pi\) | |||||||
\(758\) | 137.523 | + | 513.243i | 0.181429 | + | 0.677101i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 16.7387 | + | 71.6159i | 0.0220246 | + | 0.0942315i | ||||
\(761\) | −191.516 | + | 331.716i | −0.251664 | + | 0.435895i | −0.963984 | − | 0.265960i | \(-0.914311\pi\) |
0.712320 | + | 0.701855i | \(0.247644\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 46.4882 | − | 143.463i | 0.0609282 | − | 0.188025i | ||||
\(764\) | 375.758i | 0.491829i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −688.674 | − | 1192.82i | −0.899052 | − | 1.55720i | ||||
\(767\) | −100.772 | + | 376.085i | −0.131384 | + | 0.490332i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 210.497i | 0.273729i | 0.990590 | + | 0.136864i | \(0.0437024\pi\) | ||||
−0.990590 | + | 0.136864i | \(0.956298\pi\) | |||||||
\(770\) | −117.489 | + | 1399.40i | −0.152583 | + | 1.81740i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1166.53 | + | 312.571i | −1.51105 | + | 0.404885i | ||||
\(773\) | 415.715 | + | 111.390i | 0.537794 | + | 0.144101i | 0.517485 | − | 0.855692i | \(-0.326868\pi\) |
0.0203089 | + | 0.999794i | \(0.493535\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 215.355 | + | 435.527i | 0.277877 | + | 0.561971i | ||||
\(776\) | 160.913 | 0.207362 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 630.931 | − | 630.931i | 0.810965 | − | 0.810965i | ||||
\(779\) | 265.315 | + | 153.180i | 0.340584 | + | 0.196637i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −815.505 | − | 1412.50i | −1.04418 | − | 1.80857i | ||||
\(782\) | −216.512 | + | 58.0142i | −0.276869 | + | 0.0741869i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 452.869 | + | 327.933i | 0.577639 | + | 0.418282i | ||||
\(785\) | 318.330 | + | 96.3794i | 0.405516 | + | 0.122776i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −190.107 | + | 709.488i | −0.241559 | + | 0.901510i | 0.733523 | + | 0.679665i | \(0.237875\pi\) |
−0.975082 | + | 0.221845i | \(0.928792\pi\) | |||||||
\(788\) | −916.549 | − | 245.589i | −1.16313 | − | 0.311661i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −579.989 | + | 1915.63i | −0.734163 | + | 2.42485i | ||||
\(791\) | −6.32449 | + | 122.537i | −0.00799556 | + | 0.154914i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −113.910 | − | 425.119i | −0.143645 | − | 0.536089i | ||||
\(794\) | −232.607 | + | 134.296i | −0.292956 | + | 0.169138i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 307.131 | − | 531.966i | 0.385843 | − | 0.668299i | ||||
\(797\) | −657.078 | − | 657.078i | −0.824439 | − | 0.824439i | 0.162302 | − | 0.986741i | \(-0.448108\pi\) |
−0.986741 | + | 0.162302i | \(0.948108\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 622.665i | − | 0.779305i | ||||||
\(800\) | −362.298 | + | 1071.04i | −0.452872 | + | 1.33880i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −75.2765 | + | 280.936i | −0.0938610 | + | 0.350294i | ||||
\(803\) | −16.9128 | − | 63.1194i | −0.0210620 | − | 0.0786045i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −152.878 | + | 219.970i | −0.189910 | + | 0.273254i | ||||
\(806\) | −323.951 | −0.401925 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 183.554 | + | 49.1832i | 0.227171 | + | 0.0608703i | ||||
\(809\) | −366.207 | + | 211.430i | −0.452666 | + | 0.261347i | −0.708956 | − | 0.705253i | \(-0.750833\pi\) |
0.256289 | + | 0.966600i | \(0.417500\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 549.264 | 0.677268 | 0.338634 | − | 0.940918i | \(-0.390035\pi\) | ||||
0.338634 | + | 0.940918i | \(0.390035\pi\) | |||||||
\(812\) | −1205.63 | − | 390.677i | −1.48477 | − | 0.481129i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1575.04 | + | 909.352i | 1.93494 | + | 1.11714i | ||||
\(815\) | 284.597 | − | 66.5184i | 0.349199 | − | 0.0816177i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −334.737 | + | 89.6925i | −0.409715 | + | 0.109783i | ||||
\(818\) | −567.335 | + | 567.335i | −0.693564 | + | 0.693564i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −673.911 | − | 1259.19i | −0.821843 | − | 1.53560i | ||||
\(821\) | 97.9130 | − | 169.590i | 0.119261 | − | 0.206566i | −0.800214 | − | 0.599714i | \(-0.795281\pi\) |
0.919475 | + | 0.393149i | \(0.128614\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1419.82 | − | 380.440i | −1.72518 | − | 0.462260i | −0.746114 | − | 0.665818i | \(-0.768083\pi\) |
−0.979063 | + | 0.203559i | \(0.934749\pi\) | |||||||
\(824\) | −305.636 | − | 176.459i | −0.370917 | − | 0.214149i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −75.2663 | + | 1458.28i | −0.0911214 | + | 1.76547i | ||||
\(827\) | 645.663 | + | 645.663i | 0.780729 | + | 0.780729i | 0.979954 | − | 0.199225i | \(-0.0638423\pi\) |
−0.199225 | + | 0.979954i | \(0.563842\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 946.305 | − | 546.349i | 1.14150 | − | 0.659046i | 0.194700 | − | 0.980863i | \(-0.437627\pi\) |
0.946802 | + | 0.321816i | \(0.104293\pi\) | |||||||
\(830\) | 1789.51 | + | 1111.47i | 2.15603 | + | 1.33912i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −353.044 | − | 353.044i | −0.424332 | − | 0.424332i | ||||
\(833\) | −448.578 | − | 171.378i | −0.538510 | − | 0.205736i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −479.835 | + | 449.894i | −0.574653 | + | 0.538796i | ||||
\(836\) | 175.050 | + | 303.196i | 0.209390 | + | 0.362675i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 399.001 | + | 1489.09i | 0.476134 | + | 1.77696i | ||||
\(839\) | 682.503i | 0.813472i | 0.913546 | + | 0.406736i | \(0.133333\pi\) | ||||
−0.913546 | + | 0.406736i | \(0.866667\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −507.268 | −0.603173 | ||||||||
\(842\) | 1357.38 | − | 363.710i | 1.61210 | − | 0.431960i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −109.131 | + | 63.0065i | −0.129302 | + | 0.0746523i | ||||
\(845\) | −689.083 | − | 22.1913i | −0.815483 | − | 0.0262619i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 86.5744 | + | 405.719i | 0.102213 | + | 0.479007i | ||||
\(848\) | −324.803 | + | 324.803i | −0.383022 | + | 0.383022i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 47.1087 | − | 730.650i | 0.0554220 | − | 0.859588i | ||||
\(851\) | 173.461 | + | 300.443i | 0.203832 | + | 0.353047i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 201.182 | − | 201.182i | 0.235852 | − | 0.235852i | −0.579278 | − | 0.815130i | \(-0.696665\pi\) |
0.815130 | + | 0.579278i | \(0.196665\pi\) | |||||||
\(854\) | −750.526 | − | 1470.11i | −0.878836 | − | 1.72144i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 84.4059 | − | 146.195i | 0.0986050 | − | 0.170789i | ||||
\(857\) | 337.813 | − | 1260.74i | 0.394181 | − | 1.47110i | −0.428990 | − | 0.903309i | \(-0.641130\pi\) |
0.823171 | − | 0.567794i | \(-0.192203\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1064.26 | + | 614.453i | 1.23896 | + | 0.715313i | 0.968881 | − | 0.247526i | \(-0.0796177\pi\) |
0.270076 | + | 0.962839i | \(0.412951\pi\) | |||||||
\(860\) | 1546.21 | + | 468.139i | 1.79791 | + | 0.544347i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −572.987 | − | 572.987i | −0.664718 | − | 0.664718i | ||||
\(863\) | 259.341 | + | 967.875i | 0.300511 | + | 1.12152i | 0.936741 | + | 0.350024i | \(0.113827\pi\) |
−0.636229 | + | 0.771500i | \(0.719507\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1179.01 | − | 275.568i | 1.36302 | − | 0.318575i | ||||
\(866\) | 286.740 | − | 496.649i | 0.331109 | − | 0.573498i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −656.012 | + | 139.983i | −0.755775 | + | 0.161271i | ||||
\(869\) | 1798.46i | 2.06957i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 309.637 | + | 536.307i | 0.355496 | + | 0.615737i | ||||
\(872\) | −15.5089 | + | 57.8801i | −0.0177855 | + | 0.0663762i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 120.959i | 0.138397i | ||||||||
\(875\) | −520.615 | − | 703.267i | −0.594989 | − | 0.803734i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −330.906 | + | 88.6659i | −0.377315 | + | 0.101101i | −0.442492 | − | 0.896772i | \(-0.645906\pi\) |
0.0651767 | + | 0.997874i | \(0.479239\pi\) | |||||||
\(878\) | −1354.37 | − | 362.902i | −1.54256 | − | 0.413328i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −24.6565 | + | 765.631i | −0.0280187 | + | 0.870035i | ||||
\(881\) | −291.629 | −0.331021 | −0.165510 | − | 0.986208i | \(-0.552927\pi\) | ||||
−0.165510 | + | 0.986208i | \(0.552927\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 993.613 | − | 993.613i | 1.12527 | − | 1.12527i | 0.134333 | − | 0.990936i | \(-0.457111\pi\) |
0.990936 | − | 0.134333i | \(-0.0428892\pi\) | |||||||
\(884\) | 233.417 | + | 134.763i | 0.264046 | + | 0.152447i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 459.543 | + | 795.952i | 0.518672 | + | 0.898366i | ||||
\(887\) | 88.2058 | − | 23.6347i | 0.0994428 | − | 0.0266456i | −0.208755 | − | 0.977968i | \(-0.566941\pi\) |
0.308197 | + | 0.951322i | \(0.400274\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −208.389 | − | 10.7556i | −0.234409 | − | 0.0120985i | ||||
\(890\) | 102.815 | − | 339.584i | 0.115522 | − | 0.381555i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −106.443 | + | 397.251i | −0.119331 | + | 0.445349i | ||||
\(893\) | −324.563 | − | 86.9663i | −0.363452 | − | 0.0973867i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −623.838 | − | 1165.63i | −0.697026 | − | 1.30238i | ||||
\(896\) | −508.635 | − | 329.739i | −0.567673 | − | 0.368012i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −430.180 | − | 1605.45i | −0.479043 | − | 1.78781i | ||||
\(899\) | −618.004 | + | 356.805i | −0.687435 | + | 0.396891i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 197.248 | − | 341.643i | 0.218921 | − | 0.379183i | ||||
\(902\) | −1643.57 | − | 1643.57i | −1.82214 | − | 1.82214i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 48.7538i | − | 0.0539312i | ||||||
\(905\) | −46.0312 | + | 1429.36i | −0.0508632 | + | 1.57940i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 13.3362 | − | 49.7713i | 0.0147036 | − | 0.0548746i | −0.958184 | − | 0.286152i | \(-0.907624\pi\) |
0.972888 | + | 0.231277i | \(0.0742905\pi\) | |||||||
\(908\) | 525.758 | + | 1962.16i | 0.579029 | + | 2.16097i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 574.190 | − | 103.322i | 0.630978 | − | 0.113541i | ||||
\(911\) | −30.4579 | −0.0334334 | −0.0167167 | − | 0.999860i | \(-0.505321\pi\) | ||||
−0.0167167 | + | 0.999860i | \(0.505321\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1828.37 | + | 489.910i | 2.00260 | + | 0.536594i | ||||
\(914\) | −1329.08 | + | 767.347i | −1.45414 | + | 0.839548i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1853.63 | −2.02361 | ||||||||
\(917\) | −182.920 | − | 857.228i | −0.199476 | − | 0.934818i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 408.961 | + | 236.114i | 0.445007 | + | 0.256925i | 0.705719 | − | 0.708492i | \(-0.250624\pi\) |
−0.260712 | + | 0.965417i | \(0.583957\pi\) | |||||||
\(920\) | 56.1588 | − | 90.4179i | 0.0610422 | − | 0.0982803i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −404.879 | + | 108.487i | −0.439131 | + | 0.117665i | ||||
\(923\) | −479.127 | + | 479.127i | −0.519097 | + | 0.519097i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1111.18 | + | 222.257i | −1.20128 | + | 0.240278i | ||||
\(926\) | 930.991 | − | 1612.52i | 1.00539 | − | 1.74139i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1604.07 | − | 429.808i | −1.72852 | − | 0.463155i | ||||
\(929\) | −747.921 | − | 431.812i | −0.805081 | − | 0.464814i | 0.0401635 | − | 0.999193i | \(-0.487212\pi\) |
−0.845245 | + | 0.534379i | \(0.820545\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −151.982 | + | 209.885i | −0.163246 | + | 0.225440i | ||||
\(932\) | −84.6681 | − | 84.6681i | −0.0908456 | − | 0.0908456i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −1148.52 | + | 663.098i | −1.22968 | + | 0.709955i | ||||
\(935\) | −149.732 | − | 640.623i | −0.160141 | − | 0.685158i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −543.193 | − | 543.193i | −0.579715 | − | 0.579715i | 0.355110 | − | 0.934825i | \(-0.384443\pi\) |
−0.934825 | + | 0.355110i | \(0.884443\pi\) | |||||||
\(938\) | 1555.44 | + | 1724.74i | 1.65825 | + | 1.83874i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1071.40 | + | 1142.70i | 1.13979 | + | 1.21564i | ||||
\(941\) | −215.568 | − | 373.375i | −0.229084 | − | 0.396785i | 0.728453 | − | 0.685096i | \(-0.240240\pi\) |
−0.957537 | + | 0.288311i | \(0.906906\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −114.754 | − | 428.268i | −0.121690 | − | 0.454155i | ||||
\(944\) | 796.521i | 0.843772i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2629.24 | 2.77933 | ||||||||
\(947\) | 671.694 | − | 179.980i | 0.709287 | − | 0.190053i | 0.113900 | − | 0.993492i | \(-0.463666\pi\) |
0.595387 | + | 0.803439i | \(0.296999\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −23.5103 | + | 13.5737i | −0.0247738 | + | 0.0143031i | ||||
\(950\) | −374.270 | − | 126.604i | −0.393969 | − | 0.133267i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 181.512 | + | 58.8177i | 0.190664 | + | 0.0617833i | ||||
\(953\) | 936.706 | − | 936.706i | 0.982902 | − | 0.982902i | −0.0169540 | − | 0.999856i | \(-0.505397\pi\) |
0.999856 | + | 0.0169540i | \(0.00539688\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −323.685 | − | 201.041i | −0.338937 | − | 0.210515i | ||||
\(956\) | −124.914 | − | 216.357i | −0.130663 | − | 0.226315i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −464.828 | + | 464.828i | −0.485207 | + | 0.485207i | ||||
\(959\) | −116.624 | − | 228.441i | −0.121611 | − | 0.238207i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 291.651 | − | 505.154i | 0.303487 | − | 0.525654i | ||||
\(962\) | 195.554 | − | 729.817i | 0.203279 | − | 0.758646i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 497.965 | + | 287.500i | 0.516561 | + | 0.298237i | ||||
\(965\) | 354.874 | − | 1172.11i | 0.367745 | − | 1.21462i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −580.505 | − | 580.505i | −0.600315 | − | 0.600315i | 0.340081 | − | 0.940396i | \(-0.389545\pi\) |
−0.940396 | + | 0.340081i | \(0.889545\pi\) | |||||||
\(968\) | −42.6633 | − | 159.221i | −0.0440736 | − | 0.164485i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −456.101 | + | 734.341i | −0.470207 | + | 0.757053i | ||||
\(971\) | −460.985 | + | 798.449i | −0.474753 | + | 0.822296i | −0.999582 | − | 0.0289117i | \(-0.990796\pi\) |
0.524829 | + | 0.851208i | \(0.324129\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −396.838 | − | 440.031i | −0.407850 | − | 0.452242i | ||||
\(974\) | − | 1156.80i | − | 1.18768i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −450.186 | − | 779.745i | −0.461256 | − | 0.798919i | ||||
\(977\) | −23.7849 | + | 88.7663i | −0.0243448 | + | 0.0908560i | −0.977029 | − | 0.213105i | \(-0.931642\pi\) |
0.952685 | + | 0.303961i | \(0.0983091\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 318.812i | − | 0.325651i | ||||||
\(980\) | 1118.11 | − | 457.345i | 1.14093 | − | 0.466679i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 822.810 | − | 220.471i | 0.837892 | − | 0.224513i | ||||
\(983\) | 558.417 | + | 149.627i | 0.568074 | + | 0.152215i | 0.531413 | − | 0.847113i | \(-0.321661\pi\) |
0.0366611 | + | 0.999328i | \(0.488328\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 701.936 | − | 658.136i | 0.712625 | − | 0.668158i | ||||
\(986\) | 1075.37 | 1.09064 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 102.846 | − | 102.846i | 0.104095 | − | 0.104095i | ||||
\(989\) | 434.341 | + | 250.767i | 0.439172 | + | 0.253556i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −823.906 | − | 1427.05i | −0.831389 | − | 1.44001i | −0.896937 | − | 0.442158i | \(-0.854213\pi\) |
0.0655482 | − | 0.997849i | \(-0.479120\pi\) | |||||||
\(992\) | −848.998 | + | 227.488i | −0.855844 | + | 0.229323i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1382.36 | + | 2132.34i | −1.39070 | + | 2.14522i | ||||
\(995\) | 293.922 | + | 549.186i | 0.295399 | + | 0.551945i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −466.765 | + | 1741.99i | −0.468170 | + | 1.74723i | 0.177991 | + | 0.984032i | \(0.443040\pi\) |
−0.646161 | + | 0.763201i | \(0.723627\pi\) | |||||||
\(998\) | −1463.52 | − | 392.150i | −1.46646 | − | 0.392936i | ||||
\(999\) | 0 | 0 |
(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 | 315.3.ca.b.37.3 | 64 | ||
3.2 | odd | 2 | 105.3.v.a.37.14 | ✓ | 64 | ||
5.3 | odd | 4 | inner | 315.3.ca.b.163.14 | 64 | ||
7.4 | even | 3 | inner | 315.3.ca.b.172.14 | 64 | ||
15.8 | even | 4 | 105.3.v.a.58.3 | yes | 64 | ||
21.11 | odd | 6 | 105.3.v.a.67.3 | yes | 64 | ||
35.18 | odd | 12 | inner | 315.3.ca.b.298.3 | 64 | ||
105.53 | even | 12 | 105.3.v.a.88.14 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.v.a.37.14 | ✓ | 64 | 3.2 | odd | 2 | ||
105.3.v.a.58.3 | yes | 64 | 15.8 | even | 4 | ||
105.3.v.a.67.3 | yes | 64 | 21.11 | odd | 6 | ||
105.3.v.a.88.14 | yes | 64 | 105.53 | even | 12 | ||
315.3.ca.b.37.3 | 64 | 1.1 | even | 1 | trivial | ||
315.3.ca.b.163.14 | 64 | 5.3 | odd | 4 | inner | ||
315.3.ca.b.172.14 | 64 | 7.4 | even | 3 | inner | ||
315.3.ca.b.298.3 | 64 | 35.18 | odd | 12 | inner |