Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,3,Mod(19,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.j (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.82836056527\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 108) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 19.9 | ||
Character | \(\chi\) | \(=\) | 324.19 |
Dual form | 324.3.j.a.307.9 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.43960 | − | 1.38836i | −0.719802 | − | 0.694180i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.144916 | + | 3.99737i | 0.0362291 | + | 0.999344i | ||||
\(5\) | 0.133306 | + | 0.756014i | 0.0266611 | + | 0.151203i | 0.995232 | − | 0.0975344i | \(-0.0310956\pi\) |
−0.968571 | + | 0.248737i | \(0.919984\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.08121 | + | 3.67204i | −0.440172 | + | 0.524577i | −0.939828 | − | 0.341647i | \(-0.889015\pi\) |
0.499656 | + | 0.866224i | \(0.333460\pi\) | |||||||
\(8\) | 5.34117 | − | 5.95583i | 0.667646 | − | 0.744479i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.857712 | − | 1.27344i | 0.0857712 | − | 0.127344i | ||||
\(11\) | −7.79262 | − | 1.37405i | −0.708420 | − | 0.124914i | −0.192183 | − | 0.981359i | \(-0.561557\pi\) |
−0.516237 | + | 0.856446i | \(0.672668\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 7.52188 | + | 2.73774i | 0.578606 | + | 0.210595i | 0.614711 | − | 0.788753i | \(-0.289273\pi\) |
−0.0361046 | + | 0.999348i | \(0.511495\pi\) | |||||||
\(14\) | 9.53383 | − | 1.00846i | 0.680988 | − | 0.0720327i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −15.9580 | + | 1.15857i | −0.997375 | + | 0.0724106i | ||||
\(17\) | −6.81117 | − | 11.7973i | −0.400657 | − | 0.693958i | 0.593149 | − | 0.805093i | \(-0.297885\pi\) |
−0.993805 | + | 0.111135i | \(0.964551\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −11.9343 | − | 6.89025i | −0.628119 | − | 0.362645i | 0.151904 | − | 0.988395i | \(-0.451459\pi\) |
−0.780023 | + | 0.625750i | \(0.784793\pi\) | |||||||
\(20\) | −3.00275 | + | 0.642431i | −0.150138 | + | 0.0321216i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 9.31061 | + | 12.7970i | 0.423210 | + | 0.581684i | ||||
\(23\) | −22.4825 | − | 26.7936i | −0.977500 | − | 1.16494i | −0.986297 | − | 0.164978i | \(-0.947245\pi\) |
0.00879696 | − | 0.999961i | \(-0.497200\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 22.9385 | − | 8.34894i | 0.917541 | − | 0.333958i | ||||
\(26\) | −7.02756 | − | 14.3843i | −0.270291 | − | 0.553244i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −15.1250 | − | 11.7846i | −0.540180 | − | 0.420878i | ||||
\(29\) | −38.1507 | + | 13.8857i | −1.31554 | + | 0.478817i | −0.902026 | − | 0.431681i | \(-0.857921\pi\) |
−0.413513 | + | 0.910498i | \(0.635698\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −14.9912 | − | 17.8658i | −0.483588 | − | 0.576317i | 0.467987 | − | 0.883735i | \(-0.344979\pi\) |
−0.951575 | + | 0.307418i | \(0.900535\pi\) | |||||||
\(32\) | 24.5817 | + | 20.4876i | 0.768178 | + | 0.640236i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −6.57349 | + | 26.4398i | −0.193338 | + | 0.777640i | ||||
\(35\) | −3.18685 | − | 1.83993i | −0.0910530 | − | 0.0525695i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.05245 | − | 1.82290i | −0.0284447 | − | 0.0492676i | 0.851453 | − | 0.524431i | \(-0.175722\pi\) |
−0.879897 | + | 0.475164i | \(0.842389\pi\) | |||||||
\(38\) | 7.61446 | + | 26.4883i | 0.200381 | + | 0.697060i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.21470 | + | 3.24405i | 0.130367 | + | 0.0811013i | ||||
\(41\) | −14.0090 | − | 5.09885i | −0.341683 | − | 0.124362i | 0.165479 | − | 0.986213i | \(-0.447083\pi\) |
−0.507161 | + | 0.861851i | \(0.669305\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −57.3675 | − | 10.1154i | −1.33413 | − | 0.235243i | −0.539318 | − | 0.842102i | \(-0.681318\pi\) |
−0.794809 | + | 0.606860i | \(0.792429\pi\) | |||||||
\(44\) | 4.36331 | − | 31.3491i | 0.0991662 | − | 0.712481i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.83326 | + | 69.7860i | −0.105071 | + | 1.51709i | ||||
\(47\) | −49.8023 | + | 59.3520i | −1.05962 | + | 1.26281i | −0.0960456 | + | 0.995377i | \(0.530619\pi\) |
−0.963577 | + | 0.267432i | \(0.913825\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.51872 | + | 25.6270i | 0.0922189 | + | 0.522999i | ||||
\(50\) | −44.6137 | − | 19.8278i | −0.892274 | − | 0.396555i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −9.85373 | + | 30.4645i | −0.189495 | + | 0.585856i | ||||
\(53\) | 43.6318 | 0.823241 | 0.411620 | − | 0.911355i | \(-0.364963\pi\) | ||||
0.411620 | + | 0.911355i | \(0.364963\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 6.07450i | − | 0.110445i | ||||||
\(56\) | 5.41279 | + | 37.9641i | 0.0966570 | + | 0.677931i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 74.2002 | + | 32.9769i | 1.27931 | + | 0.568567i | ||||
\(59\) | 43.0425 | − | 7.58956i | 0.729534 | − | 0.128637i | 0.203470 | − | 0.979081i | \(-0.434778\pi\) |
0.526065 | + | 0.850445i | \(0.323667\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −66.2578 | − | 55.5969i | −1.08619 | − | 0.911425i | −0.0897734 | − | 0.995962i | \(-0.528614\pi\) |
−0.996420 | + | 0.0845375i | \(0.973059\pi\) | |||||||
\(62\) | −3.22280 | + | 46.5329i | −0.0519806 | + | 0.750531i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.94381 | − | 63.6222i | −0.108497 | − | 0.994097i | ||||
\(65\) | −1.06706 | + | 6.05160i | −0.0164163 | + | 0.0931016i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 14.0519 | − | 38.6072i | 0.209730 | − | 0.576227i | −0.789570 | − | 0.613661i | \(-0.789696\pi\) |
0.999299 | + | 0.0374339i | \(0.0119184\pi\) | |||||||
\(68\) | 46.1711 | − | 28.9364i | 0.678987 | − | 0.425535i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.03332 | + | 7.07327i | 0.0290474 | + | 0.101047i | ||||
\(71\) | −74.9269 | + | 43.2591i | −1.05531 | + | 0.609283i | −0.924131 | − | 0.382076i | \(-0.875209\pi\) |
−0.131178 | + | 0.991359i | \(0.541876\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −42.9421 | + | 74.3779i | −0.588248 | + | 1.01888i | 0.406214 | + | 0.913778i | \(0.366849\pi\) |
−0.994462 | + | 0.105097i | \(0.966485\pi\) | |||||||
\(74\) | −1.01573 | + | 4.08544i | −0.0137261 | + | 0.0552086i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 25.8134 | − | 48.7042i | 0.339650 | − | 0.640845i | ||||
\(77\) | 29.0562 | − | 24.3811i | 0.377354 | − | 0.316637i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.58889 | − | 20.8503i | −0.0960619 | − | 0.263928i | 0.882349 | − | 0.470595i | \(-0.155961\pi\) |
−0.978411 | + | 0.206667i | \(0.933738\pi\) | |||||||
\(80\) | −3.00319 | − | 11.9100i | −0.0375398 | − | 0.148875i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 13.0883 | + | 26.7898i | 0.159614 | + | 0.326705i | ||||
\(83\) | −7.46796 | − | 20.5180i | −0.0899754 | − | 0.247205i | 0.886540 | − | 0.462651i | \(-0.153102\pi\) |
−0.976516 | + | 0.215446i | \(0.930880\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.01094 | − | 6.72198i | 0.0942464 | − | 0.0790821i | ||||
\(86\) | 68.5425 | + | 94.2089i | 0.797006 | + | 1.09545i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −49.8053 | + | 39.0725i | −0.565970 | + | 0.444006i | ||||
\(89\) | 66.5965 | − | 115.349i | 0.748275 | − | 1.29605i | −0.200373 | − | 0.979720i | \(-0.564216\pi\) |
0.948649 | − | 0.316331i | \(-0.102451\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −33.2296 | + | 19.1851i | −0.365160 | + | 0.210825i | ||||
\(92\) | 103.846 | − | 93.7538i | 1.12876 | − | 1.01906i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 154.097 | − | 16.2999i | 1.63933 | − | 0.173404i | ||||
\(95\) | 3.61822 | − | 9.94098i | 0.0380865 | − | 0.104642i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 28.3954 | − | 161.038i | 0.292736 | − | 1.66019i | −0.383529 | − | 0.923529i | \(-0.625291\pi\) |
0.676265 | − | 0.736659i | \(-0.263598\pi\) | |||||||
\(98\) | 29.0743 | − | 43.1663i | 0.296676 | − | 0.440472i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 36.6980 | + | 90.4840i | 0.366980 | + | 0.904840i | ||||
\(101\) | 20.6121 | + | 17.2956i | 0.204081 | + | 0.171244i | 0.739100 | − | 0.673596i | \(-0.235251\pi\) |
−0.535019 | + | 0.844840i | \(0.679696\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 47.0573 | − | 8.29747i | 0.456867 | − | 0.0805580i | 0.0595214 | − | 0.998227i | \(-0.481043\pi\) |
0.397346 | + | 0.917669i | \(0.369931\pi\) | |||||||
\(104\) | 56.4812 | − | 30.1763i | 0.543088 | − | 0.290157i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −62.8124 | − | 60.5766i | −0.592570 | − | 0.571477i | ||||
\(107\) | 61.2748i | 0.572661i | 0.958131 | + | 0.286331i | \(0.0924356\pi\) | ||||
−0.958131 | + | 0.286331i | \(0.907564\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 193.438 | 1.77466 | 0.887331 | − | 0.461133i | \(-0.152557\pi\) | ||||
0.887331 | + | 0.461133i | \(0.152557\pi\) | |||||||
\(110\) | −8.43359 | + | 8.74487i | −0.0766690 | + | 0.0794988i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 44.9156 | − | 62.1682i | 0.401032 | − | 0.555073i | ||||
\(113\) | −13.4483 | − | 76.2690i | −0.119011 | − | 0.674947i | −0.984686 | − | 0.174339i | \(-0.944221\pi\) |
0.865674 | − | 0.500608i | \(-0.166890\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 17.2593 | − | 20.5688i | 0.150081 | − | 0.178859i | ||||
\(116\) | −61.0350 | − | 150.490i | −0.526164 | − | 1.29733i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −72.5012 | − | 48.8325i | −0.614417 | − | 0.413835i | ||||
\(119\) | 64.3067 | + | 11.3390i | 0.540392 | + | 0.0952858i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −54.8659 | − | 19.9695i | −0.453437 | − | 0.165038i | ||||
\(122\) | 18.1965 | + | 172.027i | 0.149152 | + | 1.41006i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 69.2440 | − | 62.5146i | 0.558419 | − | 0.504150i | ||||
\(125\) | 18.9657 | + | 32.8496i | 0.151726 | + | 0.262797i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 134.077 | + | 77.4091i | 1.05572 | + | 0.609521i | 0.924246 | − | 0.381799i | \(-0.124695\pi\) |
0.131475 | + | 0.991319i | \(0.458029\pi\) | |||||||
\(128\) | −78.3341 | + | 101.231i | −0.611985 | + | 0.790869i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 9.93794 | − | 7.23044i | 0.0764457 | − | 0.0556188i | ||||
\(131\) | 56.4836 | + | 67.3145i | 0.431173 | + | 0.513851i | 0.937260 | − | 0.348631i | \(-0.113353\pi\) |
−0.506088 | + | 0.862482i | \(0.668909\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 62.0732 | − | 22.5928i | 0.466716 | − | 0.169871i | ||||
\(134\) | −73.8298 | + | 36.0700i | −0.550969 | + | 0.269179i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −106.642 | − | 22.4452i | −0.784134 | − | 0.165038i | ||||
\(137\) | −247.706 | + | 90.1577i | −1.80807 | + | 0.658085i | −0.810717 | + | 0.585438i | \(0.800923\pi\) |
−0.997358 | + | 0.0726476i | \(0.976855\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −142.549 | − | 169.883i | −1.02553 | − | 1.22218i | −0.974710 | − | 0.223475i | \(-0.928260\pi\) |
−0.0508232 | − | 0.998708i | \(-0.516184\pi\) | |||||||
\(140\) | 6.89307 | − | 13.0057i | 0.0492362 | − | 0.0928977i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 167.924 | + | 41.7496i | 1.18256 | + | 0.294011i | ||||
\(143\) | −54.8534 | − | 31.6696i | −0.383590 | − | 0.221466i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −15.5835 | − | 26.9914i | −0.107472 | − | 0.186147i | ||||
\(146\) | 165.083 | − | 47.4556i | 1.13070 | − | 0.325038i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 7.13430 | − | 4.47121i | 0.0482047 | − | 0.0302109i | ||||
\(149\) | −0.892365 | − | 0.324794i | −0.00598903 | − | 0.00217983i | 0.339024 | − | 0.940778i | \(-0.389903\pi\) |
−0.345013 | + | 0.938598i | \(0.612125\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 219.805 | + | 38.7576i | 1.45566 | + | 0.256673i | 0.844808 | − | 0.535070i | \(-0.179715\pi\) |
0.610855 | + | 0.791743i | \(0.290826\pi\) | |||||||
\(152\) | −104.780 | + | 34.2764i | −0.689343 | + | 0.225503i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −75.6792 | − | 5.24142i | −0.491423 | − | 0.0340352i | ||||
\(155\) | 11.5084 | − | 13.7152i | 0.0742478 | − | 0.0884851i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 32.0271 | + | 181.635i | 0.203994 | + | 1.15691i | 0.899014 | + | 0.437919i | \(0.144284\pi\) |
−0.695020 | + | 0.718990i | \(0.744604\pi\) | |||||||
\(158\) | −18.0227 | + | 40.5523i | −0.114068 | + | 0.256660i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −12.2120 | + | 21.3152i | −0.0763250 | + | 0.133220i | ||||
\(161\) | 167.660 | 1.04137 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 210.034i | 1.28855i | 0.764793 | + | 0.644276i | \(0.222841\pi\) | ||||
−0.764793 | + | 0.644276i | \(0.777159\pi\) | |||||||
\(164\) | 18.3519 | − | 56.7381i | 0.111902 | − | 0.345964i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −17.7355 | + | 39.9061i | −0.106840 | + | 0.240398i | ||||
\(167\) | 129.841 | − | 22.8945i | 0.777493 | − | 0.137093i | 0.229200 | − | 0.973379i | \(-0.426389\pi\) |
0.548293 | + | 0.836286i | \(0.315278\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −80.3780 | − | 67.4452i | −0.475610 | − | 0.399084i | ||||
\(170\) | −20.8651 | − | 1.44508i | −0.122736 | − | 0.00850049i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 32.1217 | − | 230.785i | 0.186754 | − | 1.34177i | ||||
\(173\) | −35.2162 | + | 199.721i | −0.203562 | + | 1.15446i | 0.696125 | + | 0.717921i | \(0.254906\pi\) |
−0.899687 | + | 0.436536i | \(0.856205\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −40.0207 | + | 109.956i | −0.228690 | + | 0.628320i | ||||
\(176\) | 125.947 | + | 12.8988i | 0.715605 | + | 0.0732886i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −256.018 | + | 73.5963i | −1.43830 | + | 0.413462i | ||||
\(179\) | 59.8299 | − | 34.5428i | 0.334245 | − | 0.192976i | −0.323479 | − | 0.946235i | \(-0.604853\pi\) |
0.657724 | + | 0.753259i | \(0.271519\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −44.8622 | + | 77.7036i | −0.247858 | + | 0.429302i | −0.962931 | − | 0.269747i | \(-0.913060\pi\) |
0.715074 | + | 0.699049i | \(0.246393\pi\) | |||||||
\(182\) | 74.4732 | + | 18.5156i | 0.409193 | + | 0.101734i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −279.661 | − | 9.20724i | −1.51990 | − | 0.0500394i | ||||
\(185\) | 1.23784 | − | 1.03867i | 0.00669103 | − | 0.00561444i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 36.8668 | + | 101.291i | 0.197149 | + | 0.541661i | ||||
\(188\) | −244.469 | − | 190.477i | −1.30037 | − | 1.01318i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −19.0104 | + | 9.28767i | −0.100055 | + | 0.0488825i | ||||
\(191\) | −101.142 | − | 277.887i | −0.529542 | − | 1.45490i | −0.859612 | − | 0.510947i | \(-0.829295\pi\) |
0.330071 | − | 0.943956i | \(-0.392927\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −238.508 | + | 200.132i | −1.23579 | + | 1.03695i | −0.237949 | + | 0.971278i | \(0.576475\pi\) |
−0.997841 | + | 0.0656734i | \(0.979080\pi\) | |||||||
\(194\) | −264.457 | + | 192.408i | −1.36318 | + | 0.991795i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −101.786 | + | 21.7768i | −0.519315 | + | 0.111106i | ||||
\(197\) | −72.0482 | + | 124.791i | −0.365727 | + | 0.633457i | −0.988892 | − | 0.148633i | \(-0.952513\pi\) |
0.623166 | + | 0.782090i | \(0.285846\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −168.765 | + | 97.4366i | −0.848066 | + | 0.489631i | −0.859998 | − | 0.510298i | \(-0.829535\pi\) |
0.0119320 | + | 0.999929i | \(0.496202\pi\) | |||||||
\(200\) | 72.7937 | − | 181.211i | 0.363969 | − | 0.906055i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −5.66075 | − | 53.5159i | −0.0280235 | − | 0.264930i | ||||
\(203\) | 66.5612 | − | 182.875i | 0.327888 | − | 0.900864i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.98733 | − | 11.2707i | 0.00969428 | − | 0.0549790i | ||||
\(206\) | −79.2637 | − | 53.3874i | −0.384775 | − | 0.259162i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −123.206 | − | 34.9742i | −0.592337 | − | 0.168145i | ||||
\(209\) | 83.5316 | + | 70.0914i | 0.399673 | + | 0.335365i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 114.338 | − | 20.1608i | 0.541884 | − | 0.0955488i | 0.103995 | − | 0.994578i | \(-0.466837\pi\) |
0.437889 | + | 0.899029i | \(0.355726\pi\) | |||||||
\(212\) | 6.32295 | + | 174.412i | 0.0298252 | + | 0.822700i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 85.0714 | − | 88.2113i | 0.397530 | − | 0.412203i | ||||
\(215\) | − | 44.7190i | − | 0.207996i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 111.795 | 0.515185 | ||||||||
\(218\) | −278.474 | − | 268.562i | −1.27740 | − | 1.23193i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 24.2820 | − | 0.880293i | 0.110373 | − | 0.00400133i | ||||
\(221\) | −18.9349 | − | 107.385i | −0.0856781 | − | 0.485905i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 95.4717 | − | 113.779i | 0.428124 | − | 0.510219i | −0.508256 | − | 0.861206i | \(-0.669710\pi\) |
0.936380 | + | 0.350987i | \(0.114154\pi\) | |||||||
\(224\) | −150.972 | + | 27.1386i | −0.673984 | + | 0.121154i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −86.5286 | + | 128.468i | −0.382870 | + | 0.568443i | ||||
\(227\) | 163.627 | + | 28.8519i | 0.720826 | + | 0.127101i | 0.522014 | − | 0.852937i | \(-0.325181\pi\) |
0.198812 | + | 0.980038i | \(0.436292\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −218.671 | − | 79.5896i | −0.954894 | − | 0.347553i | −0.182863 | − | 0.983138i | \(-0.558537\pi\) |
−0.772031 | + | 0.635585i | \(0.780759\pi\) | |||||||
\(230\) | −53.4035 | + | 5.64885i | −0.232189 | + | 0.0245602i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −121.068 | + | 301.385i | −0.521846 | + | 1.29907i | ||||
\(233\) | 102.146 | + | 176.922i | 0.438394 | + | 0.759320i | 0.997566 | − | 0.0697314i | \(-0.0222142\pi\) |
−0.559172 | + | 0.829052i | \(0.688881\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −51.5099 | − | 29.7392i | −0.219191 | − | 0.126550i | ||||
\(236\) | 36.5759 | + | 170.957i | 0.154982 | + | 0.724395i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −76.8335 | − | 105.604i | −0.322830 | − | 0.443716i | ||||
\(239\) | 59.1551 | + | 70.4983i | 0.247511 | + | 0.294972i | 0.875468 | − | 0.483276i | \(-0.160553\pi\) |
−0.627957 | + | 0.778248i | \(0.716109\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −194.954 | + | 70.9574i | −0.808938 | + | 0.294429i | −0.713185 | − | 0.700976i | \(-0.752748\pi\) |
−0.0957527 | + | 0.995405i | \(0.530526\pi\) | |||||||
\(242\) | 51.2602 | + | 104.922i | 0.211819 | + | 0.433561i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 212.640 | − | 272.914i | 0.871475 | − | 1.11850i | ||||
\(245\) | −18.7720 | + | 6.83244i | −0.0766203 | + | 0.0278875i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −70.9044 | − | 84.5006i | −0.287062 | − | 0.342108i | ||||
\(248\) | −186.477 | − | 6.13934i | −0.751922 | − | 0.0247554i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 18.3039 | − | 73.6216i | 0.0732156 | − | 0.294486i | ||||
\(251\) | 269.842 | + | 155.793i | 1.07507 | + | 0.620690i | 0.929561 | − | 0.368667i | \(-0.120186\pi\) |
0.145505 | + | 0.989357i | \(0.453519\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 138.382 | + | 239.684i | 0.546964 | + | 0.947370i | ||||
\(254\) | −85.5454 | − | 297.585i | −0.336793 | − | 1.17159i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 253.315 | − | 36.9769i | 0.989513 | − | 0.144441i | ||||
\(257\) | −281.815 | − | 102.572i | −1.09656 | − | 0.399114i | −0.270511 | − | 0.962717i | \(-0.587192\pi\) |
−0.826046 | + | 0.563603i | \(0.809415\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.93659 | + | 1.75209i | 0.0383652 | + | 0.00676482i | ||||
\(260\) | −24.3452 | − | 3.38847i | −0.0936352 | − | 0.0130326i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 12.1428 | − | 175.326i | 0.0463465 | − | 0.669182i | ||||
\(263\) | −126.004 | + | 150.166i | −0.479102 | + | 0.570972i | −0.950411 | − | 0.310996i | \(-0.899337\pi\) |
0.471309 | + | 0.881968i | \(0.343782\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.81636 | + | 32.9862i | 0.0219485 | + | 0.124476i | ||||
\(266\) | −120.728 | − | 53.6552i | −0.453864 | − | 0.201711i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 156.364 | + | 50.5758i | 0.583447 | + | 0.188716i | ||||
\(269\) | 110.390 | 0.410372 | 0.205186 | − | 0.978723i | \(-0.434220\pi\) | ||||
0.205186 | + | 0.978723i | \(0.434220\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 157.984i | − | 0.582967i | −0.956576 | − | 0.291484i | \(-0.905851\pi\) | ||
0.956576 | − | 0.291484i | \(-0.0941489\pi\) | |||||||
\(272\) | 122.361 | + | 180.370i | 0.449855 | + | 0.663124i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 481.770 | + | 214.114i | 1.75829 | + | 0.781438i | ||||
\(275\) | −190.223 | + | 33.5415i | −0.691720 | + | 0.121969i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 133.295 | + | 111.848i | 0.481210 | + | 0.403783i | 0.850864 | − | 0.525386i | \(-0.176079\pi\) |
−0.369654 | + | 0.929170i | \(0.620524\pi\) | |||||||
\(278\) | −30.6450 | + | 442.474i | −0.110234 | + | 1.59163i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −27.9798 | + | 9.15298i | −0.0999280 | + | 0.0326892i | ||||
\(281\) | 64.5172 | − | 365.895i | 0.229599 | − | 1.30212i | −0.624098 | − | 0.781346i | \(-0.714533\pi\) |
0.853696 | − | 0.520772i | \(-0.174356\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −142.624 | + | 391.857i | −0.503973 | + | 1.38465i | 0.383392 | + | 0.923586i | \(0.374756\pi\) |
−0.887365 | + | 0.461068i | \(0.847466\pi\) | |||||||
\(284\) | −183.781 | − | 293.242i | −0.647116 | − | 1.03254i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 34.9983 | + | 121.748i | 0.122372 | + | 0.425692i | ||||
\(287\) | 61.8878 | − | 35.7309i | 0.215637 | − | 0.124498i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 51.7160 | − | 89.5748i | 0.178948 | − | 0.309947i | ||||
\(290\) | −15.0397 | + | 60.4923i | −0.0518610 | + | 0.208594i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −303.539 | − | 160.877i | −1.03952 | − | 0.550949i | ||||
\(293\) | −33.9075 | + | 28.4518i | −0.115725 | + | 0.0971050i | −0.698814 | − | 0.715304i | \(-0.746288\pi\) |
0.583089 | + | 0.812408i | \(0.301844\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 11.4756 | + | 31.5290i | 0.0389004 | + | 0.106878i | ||||
\(296\) | −16.4782 | − | 3.46820i | −0.0556697 | − | 0.0117169i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.833720 | + | 1.70650i | 0.00279772 | + | 0.00572650i | ||||
\(299\) | −95.7568 | − | 263.090i | −0.320257 | − | 0.879898i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 213.905 | − | 179.488i | 0.710649 | − | 0.596305i | ||||
\(302\) | −262.623 | − | 360.964i | −0.869611 | − | 1.19524i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 198.430 | + | 96.1279i | 0.652730 | + | 0.316210i | ||||
\(305\) | 33.1995 | − | 57.5032i | 0.108851 | − | 0.188535i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 279.865 | − | 161.580i | 0.911612 | − | 0.526320i | 0.0306628 | − | 0.999530i | \(-0.490238\pi\) |
0.880950 | + | 0.473210i | \(0.156905\pi\) | |||||||
\(308\) | 101.671 | + | 112.615i | 0.330101 | + | 0.365635i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −35.6092 | + | 3.76662i | −0.114868 | + | 0.0121504i | ||||
\(311\) | 1.32044 | − | 3.62789i | 0.00424580 | − | 0.0116652i | −0.937552 | − | 0.347846i | \(-0.886913\pi\) |
0.941797 | + | 0.336181i | \(0.109135\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.20268 | + | 29.5059i | −0.0166220 | + | 0.0942679i | −0.991990 | − | 0.126315i | \(-0.959685\pi\) |
0.975368 | + | 0.220583i | \(0.0707960\pi\) | |||||||
\(314\) | 206.068 | − | 305.947i | 0.656268 | − | 0.974354i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 82.2467 | − | 33.3572i | 0.260275 | − | 0.105561i | ||||
\(317\) | 429.901 | + | 360.730i | 1.35615 | + | 1.13795i | 0.977150 | + | 0.212553i | \(0.0681778\pi\) |
0.379004 | + | 0.925395i | \(0.376267\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 316.373 | − | 55.7851i | 0.991766 | − | 0.174875i | ||||
\(320\) | 47.1736 | − | 13.7308i | 0.147418 | − | 0.0429088i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −241.365 | − | 232.773i | −0.749579 | − | 0.722897i | ||||
\(323\) | 187.723i | 0.581184i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 195.398 | 0.601225 | ||||||||
\(326\) | 291.603 | − | 302.366i | 0.894486 | − | 0.927502i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −105.192 | + | 56.2013i | −0.320708 | + | 0.171345i | ||||
\(329\) | −64.4919 | − | 365.752i | −0.196024 | − | 1.11171i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −90.3131 | + | 107.631i | −0.272849 | + | 0.325169i | −0.885017 | − | 0.465559i | \(-0.845853\pi\) |
0.612168 | + | 0.790728i | \(0.290298\pi\) | |||||||
\(332\) | 80.9361 | − | 32.8256i | 0.243783 | − | 0.0988723i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −218.706 | − | 147.307i | −0.654808 | − | 0.441040i | ||||
\(335\) | 31.0608 | + | 5.47685i | 0.0927188 | + | 0.0163488i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −398.458 | − | 145.027i | −1.18237 | − | 0.430346i | −0.325330 | − | 0.945601i | \(-0.605475\pi\) |
−0.857037 | + | 0.515254i | \(0.827697\pi\) | |||||||
\(338\) | 22.0744 | + | 208.688i | 0.0653087 | + | 0.617420i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 28.0312 | + | 31.0486i | 0.0824447 | + | 0.0913194i | ||||
\(341\) | 92.2724 | + | 159.820i | 0.270593 | + | 0.468682i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −311.440 | − | 179.810i | −0.907988 | − | 0.524227i | ||||
\(344\) | −366.655 | + | 287.643i | −1.06586 | + | 0.836170i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 327.982 | − | 238.626i | 0.947925 | − | 0.689672i | ||||
\(347\) | −73.0006 | − | 86.9988i | −0.210376 | − | 0.250717i | 0.650530 | − | 0.759481i | \(-0.274547\pi\) |
−0.860906 | + | 0.508764i | \(0.830103\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 94.6615 | − | 34.4540i | 0.271236 | − | 0.0987220i | −0.202821 | − | 0.979216i | \(-0.565011\pi\) |
0.474058 | + | 0.880494i | \(0.342789\pi\) | |||||||
\(350\) | 210.272 | − | 102.730i | 0.600778 | − | 0.293514i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −163.405 | − | 193.428i | −0.464219 | − | 0.549512i | ||||
\(353\) | 24.4299 | − | 8.89174i | 0.0692064 | − | 0.0251891i | −0.307185 | − | 0.951650i | \(-0.599387\pi\) |
0.376391 | + | 0.926461i | \(0.377165\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −42.6926 | − | 50.8791i | −0.120261 | − | 0.143321i | ||||
\(356\) | 470.742 | + | 249.495i | 1.32231 | + | 0.700829i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −134.089 | − | 33.3374i | −0.374550 | − | 0.0931213i | ||||
\(359\) | 50.8289 | + | 29.3461i | 0.141585 | + | 0.0817439i | 0.569119 | − | 0.822255i | \(-0.307284\pi\) |
−0.427534 | + | 0.903999i | \(0.640618\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −85.5489 | − | 148.175i | −0.236978 | − | 0.410457i | ||||
\(362\) | 172.464 | − | 49.5775i | 0.476421 | − | 0.136955i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −81.5055 | − | 130.051i | −0.223916 | − | 0.357282i | ||||
\(365\) | −61.9551 | − | 22.5498i | −0.169740 | − | 0.0617803i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 107.710 | + | 18.9921i | 0.293487 | + | 0.0517497i | 0.318453 | − | 0.947939i | \(-0.396837\pi\) |
−0.0249660 | + | 0.999688i | \(0.507948\pi\) | |||||||
\(368\) | 389.818 | + | 401.525i | 1.05929 | + | 1.09110i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −3.22405 | − | 0.223292i | −0.00871365 | − | 0.000603493i | ||||
\(371\) | −134.438 | + | 160.218i | −0.362368 | + | 0.431853i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.6320 | + | 65.9686i | 0.0311851 | + | 0.176859i | 0.996422 | − | 0.0845170i | \(-0.0269347\pi\) |
−0.965237 | + | 0.261376i | \(0.915824\pi\) | |||||||
\(374\) | 87.5543 | − | 197.003i | 0.234102 | − | 0.526745i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 87.4882 | + | 613.623i | 0.232681 | + | 1.63198i | ||||
\(377\) | −324.980 | −0.862016 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 276.576i | − | 0.729753i | −0.931056 | − | 0.364876i | \(-0.881111\pi\) | ||
0.931056 | − | 0.364876i | \(-0.118889\pi\) | |||||||
\(380\) | 40.2621 | + | 13.0228i | 0.105953 | + | 0.0342704i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −240.201 | + | 540.468i | −0.628800 | + | 1.41484i | ||||
\(383\) | −39.6849 | + | 6.99751i | −0.103616 | + | 0.0182703i | −0.225216 | − | 0.974309i | \(-0.572309\pi\) |
0.121600 | + | 0.992579i | \(0.461198\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 22.3058 | + | 18.7168i | 0.0579371 | + | 0.0486150i | ||||
\(386\) | 621.211 | + | 43.0241i | 1.60935 | + | 0.111461i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 647.845 | + | 90.1699i | 1.66970 | + | 0.232397i | ||||
\(389\) | 25.8684 | − | 146.707i | 0.0664998 | − | 0.377139i | −0.933336 | − | 0.359005i | \(-0.883116\pi\) |
0.999836 | − | 0.0181346i | \(-0.00577273\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −162.960 | + | 447.728i | −0.416777 | + | 1.14508i | ||||
\(392\) | 176.765 | + | 109.965i | 0.450931 | + | 0.280523i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 276.976 | − | 79.6209i | 0.702984 | − | 0.202084i | ||||
\(395\) | 14.7515 | − | 8.51677i | 0.0373455 | − | 0.0215614i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 373.378 | − | 646.710i | 0.940499 | − | 1.62899i | 0.175978 | − | 0.984394i | \(-0.443691\pi\) |
0.764521 | − | 0.644598i | \(-0.222975\pi\) | |||||||
\(398\) | 378.232 | + | 94.0366i | 0.950331 | + | 0.236273i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −356.380 | + | 159.808i | −0.890950 | + | 0.399521i | ||||
\(401\) | −44.3852 | + | 37.2436i | −0.110686 | + | 0.0928768i | −0.696451 | − | 0.717604i | \(-0.745239\pi\) |
0.585765 | + | 0.810481i | \(0.300794\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −63.8501 | − | 175.427i | −0.158437 | − | 0.435302i | ||||
\(404\) | −66.1501 | + | 84.9009i | −0.163738 | + | 0.210151i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −349.719 | + | 170.857i | −0.861376 | + | 0.420830i | ||||
\(407\) | 5.69661 | + | 15.6513i | 0.0139966 | + | 0.0384553i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 226.059 | − | 189.686i | 0.552712 | − | 0.463780i | −0.323146 | − | 0.946349i | \(-0.604741\pi\) |
0.875858 | + | 0.482569i | \(0.160296\pi\) | |||||||
\(410\) | −18.5087 | + | 13.4662i | −0.0451432 | + | 0.0328444i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 39.9875 | + | 186.903i | 0.0970569 | + | 0.453648i | ||||
\(413\) | −104.754 | + | 181.439i | −0.253641 | + | 0.439319i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 14.5164 | − | 8.38105i | 0.0349793 | − | 0.0201953i | ||||
\(416\) | 128.811 | + | 221.403i | 0.309642 | + | 0.532219i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −22.9404 | − | 216.876i | −0.0548814 | − | 0.518841i | ||||
\(419\) | −150.722 | + | 414.106i | −0.359719 | + | 0.988320i | 0.619408 | + | 0.785069i | \(0.287373\pi\) |
−0.979127 | + | 0.203250i | \(0.934849\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.8192 | − | 67.0301i | 0.0280742 | − | 0.159216i | −0.967548 | − | 0.252688i | \(-0.918685\pi\) |
0.995622 | + | 0.0934717i | \(0.0297965\pi\) | |||||||
\(422\) | −192.591 | − | 129.718i | −0.456377 | − | 0.307389i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 233.045 | − | 259.863i | 0.549634 | − | 0.612885i | ||||
\(425\) | −254.733 | − | 213.746i | −0.599372 | − | 0.502933i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 408.308 | − | 71.9957i | 0.956225 | − | 0.168608i | ||||
\(428\) | −244.938 | + | 8.87971i | −0.572285 | + | 0.0207470i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −62.0861 | + | 64.3777i | −0.144386 | + | 0.149716i | ||||
\(431\) | 53.6108i | 0.124387i | 0.998064 | + | 0.0621935i | \(0.0198096\pi\) | ||||
−0.998064 | + | 0.0621935i | \(0.980190\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −686.735 | −1.58599 | −0.792997 | − | 0.609226i | \(-0.791480\pi\) | ||||
−0.792997 | + | 0.609226i | \(0.791480\pi\) | |||||||
\(434\) | −160.941 | − | 155.212i | −0.370831 | − | 0.357631i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 28.0323 | + | 773.245i | 0.0642943 | + | 1.77350i | ||||
\(437\) | 83.6975 | + | 474.672i | 0.191527 | + | 1.08621i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −74.5743 | + | 88.8742i | −0.169873 | + | 0.202447i | −0.844264 | − | 0.535928i | \(-0.819962\pi\) |
0.674391 | + | 0.738375i | \(0.264406\pi\) | |||||||
\(440\) | −36.1787 | − | 32.4449i | −0.0822242 | − | 0.0737385i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −121.830 | + | 180.880i | −0.275634 | + | 0.409231i | ||||
\(443\) | −126.688 | − | 22.3386i | −0.285978 | − | 0.0504257i | 0.0288188 | − | 0.999585i | \(-0.490825\pi\) |
−0.314797 | + | 0.949159i | \(0.601937\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 96.0828 | + | 34.9713i | 0.215916 | + | 0.0785871i | ||||
\(446\) | −295.407 | + | 31.2472i | −0.662348 | + | 0.0700611i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 255.018 | + | 170.535i | 0.569238 | + | 0.380659i | ||||
\(449\) | −361.840 | − | 626.725i | −0.805880 | − | 1.39583i | −0.915695 | − | 0.401873i | \(-0.868359\pi\) |
0.109815 | − | 0.993952i | \(-0.464974\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 102.161 | + | 58.9825i | 0.226520 | + | 0.130782i | ||||
\(452\) | 302.927 | − | 64.8105i | 0.670192 | − | 0.143386i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −195.502 | − | 268.709i | −0.430621 | − | 0.591870i | ||||
\(455\) | −18.9339 | − | 22.5645i | −0.0416129 | − | 0.0495924i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 49.8588 | − | 18.1471i | 0.109100 | − | 0.0397092i | −0.286893 | − | 0.957963i | \(-0.592623\pi\) |
0.395993 | + | 0.918253i | \(0.370400\pi\) | |||||||
\(458\) | 204.300 | + | 418.171i | 0.446070 | + | 0.913037i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 84.7224 | + | 66.0111i | 0.184179 | + | 0.143502i | ||||
\(461\) | −198.117 | + | 72.1085i | −0.429754 | + | 0.156418i | −0.547835 | − | 0.836586i | \(-0.684548\pi\) |
0.118081 | + | 0.993004i | \(0.462326\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −407.123 | − | 485.190i | −0.879315 | − | 1.04793i | −0.998483 | − | 0.0550524i | \(-0.982467\pi\) |
0.119169 | − | 0.992874i | \(-0.461977\pi\) | |||||||
\(464\) | 592.720 | − | 265.788i | 1.27741 | − | 0.572819i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 98.5814 | − | 396.512i | 0.211548 | − | 0.850884i | ||||
\(467\) | −254.886 | − | 147.159i | −0.545795 | − | 0.315115i | 0.201629 | − | 0.979462i | \(-0.435376\pi\) |
−0.747424 | + | 0.664347i | \(0.768710\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 98.4705 | + | 170.556i | 0.209958 | + | 0.363659i | ||||
\(470\) | 32.8650 | + | 114.327i | 0.0699256 | + | 0.243249i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 184.695 | − | 296.891i | 0.391304 | − | 0.629007i | ||||
\(473\) | 433.144 | + | 157.651i | 0.915737 | + | 0.333301i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −331.281 | − | 58.4137i | −0.697433 | − | 0.122976i | ||||
\(476\) | −36.0072 | + | 258.701i | −0.0756453 | + | 0.543490i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 12.7171 | − | 183.618i | 0.0266048 | − | 0.384138i | ||||
\(479\) | −349.313 | + | 416.295i | −0.729255 | + | 0.869092i | −0.995495 | − | 0.0948146i | \(-0.969774\pi\) |
0.266240 | + | 0.963907i | \(0.414219\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.92579 | − | 16.5930i | −0.00608273 | − | 0.0344969i | ||||
\(482\) | 379.171 | + | 168.516i | 0.786662 | + | 0.349617i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 71.8748 | − | 222.213i | 0.148502 | − | 0.459118i | ||||
\(485\) | 125.532 | 0.258830 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 168.509i | 0.346015i | 0.984921 | + | 0.173007i | \(0.0553484\pi\) | ||||
−0.984921 | + | 0.173007i | \(0.944652\pi\) | |||||||
\(488\) | −685.020 | + | 97.6677i | −1.40373 | + | 0.200139i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 36.5101 | + | 16.2262i | 0.0745103 | + | 0.0331148i | ||||
\(491\) | −394.774 | + | 69.6093i | −0.804021 | + | 0.141771i | −0.560532 | − | 0.828133i | \(-0.689403\pi\) |
−0.243489 | + | 0.969904i | \(0.578292\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 423.664 | + | 355.496i | 0.859359 | + | 0.721088i | ||||
\(494\) | −15.2429 | + | 220.088i | −0.0308562 | + | 0.445522i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 259.929 | + | 267.735i | 0.524050 | + | 0.539788i | ||||
\(497\) | 72.0163 | − | 408.425i | 0.144902 | − | 0.821780i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 54.0863 | − | 148.601i | 0.108389 | − | 0.297797i | −0.873626 | − | 0.486598i | \(-0.838238\pi\) |
0.982015 | + | 0.188800i | \(0.0604599\pi\) | |||||||
\(500\) | −128.564 | + | 80.5735i | −0.257127 | + | 0.161147i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −172.168 | − | 598.918i | −0.342964 | − | 1.19306i | ||||
\(503\) | 94.5144 | − | 54.5679i | 0.187901 | − | 0.108485i | −0.403098 | − | 0.915157i | \(-0.632067\pi\) |
0.591000 | + | 0.806672i | \(0.298733\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.3280 | + | 17.8887i | −0.0204515 | + | 0.0354231i | ||||
\(506\) | 133.553 | − | 537.174i | 0.263939 | − | 1.06161i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −290.003 | + | 547.172i | −0.570873 | + | 1.07711i | ||||
\(509\) | 177.370 | − | 148.831i | 0.348467 | − | 0.292399i | −0.451707 | − | 0.892166i | \(-0.649185\pi\) |
0.800174 | + | 0.599768i | \(0.204740\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −140.805 | − | 386.859i | −0.275548 | − | 0.757062i | ||||
\(512\) | −416.011 | − | 298.461i | −0.812521 | − | 0.582931i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 263.295 | + | 538.924i | 0.512246 | + | 1.04849i | ||||
\(515\) | 12.5460 | + | 34.4699i | 0.0243612 | + | 0.0669318i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 469.643 | − | 394.077i | 0.908400 | − | 0.762238i | ||||
\(518\) | −11.8722 | − | 16.3179i | −0.0229193 | − | 0.0315017i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 30.3430 | + | 38.6779i | 0.0583518 | + | 0.0743805i | ||||
\(521\) | 96.0523 | − | 166.367i | 0.184361 | − | 0.319323i | −0.759000 | − | 0.651091i | \(-0.774312\pi\) |
0.943361 | + | 0.331768i | \(0.107645\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −295.086 | + | 170.368i | −0.564217 | + | 0.325751i | −0.754836 | − | 0.655913i | \(-0.772284\pi\) |
0.190619 | + | 0.981664i | \(0.438950\pi\) | |||||||
\(524\) | −260.896 | + | 235.541i | −0.497893 | + | 0.449506i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 389.880 | − | 41.2402i | 0.741216 | − | 0.0784035i | ||||
\(527\) | −108.661 | + | 298.543i | −0.206187 | + | 0.566495i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −120.574 | + | 683.812i | −0.227929 | + | 1.29265i | ||||
\(530\) | 37.4235 | − | 55.5623i | 0.0706103 | − | 0.104834i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 99.3073 | + | 244.856i | 0.186668 | + | 0.460255i | ||||
\(533\) | −91.4146 | − | 76.7059i | −0.171509 | − | 0.143914i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −46.3246 | + | 8.16827i | −0.0865880 | + | 0.0152678i | ||||
\(536\) | −154.885 | − | 289.898i | −0.288964 | − | 0.540855i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −158.918 | − | 153.261i | −0.295387 | − | 0.284872i | ||||
\(539\) | − | 205.910i | − | 0.382022i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −543.807 | −1.00519 | −0.502595 | − | 0.864522i | \(-0.667621\pi\) | ||||
−0.502595 | + | 0.864522i | \(0.667621\pi\) | |||||||
\(542\) | −219.339 | + | 227.434i | −0.404684 | + | 0.419621i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 74.2675 | − | 429.541i | 0.136521 | − | 0.789598i | ||||
\(545\) | 25.7864 | + | 146.242i | 0.0473145 | + | 0.268334i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 163.630 | − | 195.007i | 0.299141 | − | 0.356502i | −0.595447 | − | 0.803395i | \(-0.703025\pi\) |
0.894588 | + | 0.446893i | \(0.147469\pi\) | |||||||
\(548\) | −396.291 | − | 977.109i | −0.723158 | − | 1.78305i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 320.413 | + | 215.812i | 0.582570 | + | 0.392385i | ||||
\(551\) | 550.976 | + | 97.1519i | 0.999956 | + | 0.176319i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 99.9461 | + | 36.3774i | 0.180734 | + | 0.0657819i | ||||
\(554\) | −36.6071 | − | 346.078i | −0.0660777 | − | 0.624690i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 658.430 | − | 594.441i | 1.18423 | − | 1.06914i | ||||
\(557\) | 104.885 | + | 181.666i | 0.188303 | + | 0.326150i | 0.944685 | − | 0.327980i | \(-0.106368\pi\) |
−0.756382 | + | 0.654131i | \(0.773035\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −403.818 | − | 233.144i | −0.722393 | − | 0.417074i | ||||
\(560\) | 52.9875 | + | 25.6694i | 0.0946205 | + | 0.0458383i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −600.873 | + | 437.171i | −1.06917 | + | 0.777884i | ||||
\(563\) | −436.787 | − | 520.543i | −0.775821 | − | 0.924588i | 0.222916 | − | 0.974838i | \(-0.428443\pi\) |
−0.998737 | + | 0.0502501i | \(0.983998\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 55.8677 | − | 20.3342i | 0.0988809 | − | 0.0359897i | ||||
\(566\) | 749.361 | − | 366.105i | 1.32396 | − | 0.646829i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −142.554 | + | 677.306i | −0.250975 | + | 1.19244i | ||||
\(569\) | 727.101 | − | 264.643i | 1.27786 | − | 0.465102i | 0.388135 | − | 0.921603i | \(-0.373120\pi\) |
0.889723 | + | 0.456501i | \(0.150897\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −706.930 | − | 842.487i | −1.23806 | − | 1.47546i | −0.825377 | − | 0.564582i | \(-0.809038\pi\) |
−0.412679 | − | 0.910876i | \(-0.635407\pi\) | |||||||
\(572\) | 118.646 | − | 223.859i | 0.207423 | − | 0.391362i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −138.701 | − | 34.4841i | −0.241640 | − | 0.0600768i | ||||
\(575\) | −739.414 | − | 426.901i | −1.28594 | − | 0.742436i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −26.4305 | − | 45.7790i | −0.0458068 | − | 0.0793398i | 0.842213 | − | 0.539145i | \(-0.181253\pi\) |
−0.888020 | + | 0.459805i | \(0.847919\pi\) | |||||||
\(578\) | −198.813 | + | 57.1518i | −0.343967 | + | 0.0988785i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 105.636 | − | 66.2045i | 0.182132 | − | 0.114146i | ||||
\(581\) | 98.3534 | + | 35.7977i | 0.169283 | + | 0.0616139i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −340.006 | − | 59.9522i | −0.583200 | − | 0.102834i | ||||
\(584\) | 213.621 | + | 653.021i | 0.365789 | + | 1.11819i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 88.3146 | + | 6.11653i | 0.150707 | + | 0.0104378i | ||||
\(587\) | 714.090 | − | 851.019i | 1.21651 | − | 1.44978i | 0.360543 | − | 0.932743i | \(-0.382591\pi\) |
0.855965 | − | 0.517034i | \(-0.172964\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 55.8091 | + | 316.509i | 0.0947522 | + | 0.537367i | ||||
\(590\) | 27.2533 | − | 61.3216i | 0.0461920 | − | 0.103935i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 18.9070 | + | 27.8705i | 0.0319375 | + | 0.0470786i | ||||
\(593\) | −1059.78 | −1.78715 | −0.893575 | − | 0.448914i | \(-0.851811\pi\) | ||||
−0.893575 | + | 0.448914i | \(0.851811\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 50.1283i | 0.0842492i | ||||||||
\(596\) | 1.16901 | − | 3.61418i | 0.00196142 | − | 0.00606407i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −227.411 | + | 511.690i | −0.380286 | + | 0.855668i | ||||
\(599\) | 771.927 | − | 136.112i | 1.28869 | − | 0.227231i | 0.513026 | − | 0.858373i | \(-0.328524\pi\) |
0.775668 | + | 0.631142i | \(0.217413\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −733.365 | − | 615.367i | −1.22024 | − | 1.02390i | −0.998812 | − | 0.0487281i | \(-0.984483\pi\) |
−0.221430 | − | 0.975176i | \(-0.571072\pi\) | |||||||
\(602\) | −557.132 | − | 38.5861i | −0.925469 | − | 0.0640965i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −123.075 | + | 884.260i | −0.203767 | + | 1.46401i | ||||
\(605\) | 7.78332 | − | 44.1414i | 0.0128650 | − | 0.0729610i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −354.168 | + | 973.069i | −0.583473 | + | 1.60308i | 0.198729 | + | 0.980055i | \(0.436319\pi\) |
−0.782202 | + | 0.623025i | \(0.785904\pi\) | |||||||
\(608\) | −152.200 | − | 413.878i | −0.250329 | − | 0.680720i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −127.629 | + | 36.6890i | −0.209228 | + | 0.0601459i | ||||
\(611\) | −537.097 | + | 310.093i | −0.879046 | + | 0.507517i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −366.538 | + | 634.862i | −0.597941 | + | 1.03566i | 0.395184 | + | 0.918602i | \(0.370681\pi\) |
−0.993125 | + | 0.117062i | \(0.962652\pi\) | |||||||
\(614\) | −627.226 | − | 155.942i | −1.02154 | − | 0.253977i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 9.98476 | − | 303.277i | 0.0162090 | − | 0.492334i | ||||
\(617\) | 46.7240 | − | 39.2061i | 0.0757278 | − | 0.0635431i | −0.604138 | − | 0.796880i | \(-0.706482\pi\) |
0.679866 | + | 0.733337i | \(0.262038\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 283.250 | + | 778.223i | 0.457593 | + | 1.25723i | 0.927272 | + | 0.374389i | \(0.122148\pi\) |
−0.469678 | + | 0.882838i | \(0.655630\pi\) | |||||||
\(620\) | 56.4925 | + | 44.0159i | 0.0911169 | + | 0.0709933i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −6.93773 | + | 3.38947i | −0.0111539 | + | 0.00544931i | ||||
\(623\) | 218.367 | + | 599.958i | 0.350508 | + | 0.963014i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 445.185 | − | 373.555i | 0.712296 | − | 0.597687i | ||||
\(626\) | 48.4545 | − | 35.2535i | 0.0774034 | − | 0.0563156i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −721.421 | + | 154.346i | −1.14876 | + | 0.245774i | ||||
\(629\) | −14.3369 | + | 24.8322i | −0.0227931 | + | 0.0394788i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 273.648 | − | 157.991i | 0.433673 | − | 0.250381i | −0.267237 | − | 0.963631i | \(-0.586111\pi\) |
0.700910 | + | 0.713250i | \(0.252777\pi\) | |||||||
\(632\) | −164.714 | − | 66.1669i | −0.260624 | − | 0.104694i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −118.064 | − | 1116.16i | −0.186221 | − | 1.76051i | ||||
\(635\) | −40.6492 | + | 111.683i | −0.0640145 | + | 0.175878i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −36.1707 | + | 205.134i | −0.0567828 | + | 0.322031i | ||||
\(638\) | −532.902 | − | 358.931i | −0.835269 | − | 0.562588i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −86.9746 | − | 45.7270i | −0.135898 | − | 0.0714484i | ||||
\(641\) | −445.886 | − | 374.143i | −0.695610 | − | 0.583686i | 0.224911 | − | 0.974379i | \(-0.427791\pi\) |
−0.920521 | + | 0.390693i | \(0.872235\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 884.213 | − | 155.911i | 1.37514 | − | 0.242474i | 0.563249 | − | 0.826287i | \(-0.309551\pi\) |
0.811888 | + | 0.583814i | \(0.198440\pi\) | |||||||
\(644\) | 24.2967 | + | 670.201i | 0.0377278 | + | 1.04069i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 260.626 | − | 270.246i | 0.403446 | − | 0.418337i | ||||
\(647\) | − | 822.404i | − | 1.27110i | −0.772058 | − | 0.635552i | \(-0.780773\pi\) | ||
0.772058 | − | 0.635552i | \(-0.219227\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −345.843 | −0.532885 | ||||||||
\(650\) | −281.296 | − | 271.283i | −0.432763 | − | 0.417358i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −839.584 | + | 30.4373i | −1.28771 | + | 0.0466830i | ||||
\(653\) | 199.644 | + | 1132.24i | 0.305734 | + | 1.73390i | 0.620030 | + | 0.784578i | \(0.287120\pi\) |
−0.314296 | + | 0.949325i | \(0.601768\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −43.3611 | + | 51.6758i | −0.0662002 | + | 0.0788943i | ||||
\(656\) | 229.463 | + | 65.1371i | 0.349791 | + | 0.0992944i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −414.952 | + | 616.075i | −0.630626 | + | 0.936285i | ||||
\(659\) | −354.825 | − | 62.5652i | −0.538430 | − | 0.0949397i | −0.102181 | − | 0.994766i | \(-0.532582\pi\) |
−0.436249 | + | 0.899826i | \(0.643693\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 766.959 | + | 279.150i | 1.16030 | + | 0.422315i | 0.849205 | − | 0.528063i | \(-0.177082\pi\) |
0.311097 | + | 0.950378i | \(0.399304\pi\) | |||||||
\(662\) | 279.445 | − | 29.5589i | 0.422123 | − | 0.0446508i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −162.090 | − | 65.1125i | −0.244111 | − | 0.0980610i | ||||
\(665\) | 25.3552 | + | 43.9164i | 0.0381281 | + | 0.0660398i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1229.77 | + | 710.008i | 1.84373 | + | 1.06448i | ||||
\(668\) | 110.334 | + | 515.707i | 0.165171 | + | 0.772016i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −37.1114 | − | 51.0080i | −0.0553901 | − | 0.0761314i | ||||
\(671\) | 439.929 | + | 524.287i | 0.655632 | + | 0.781352i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −218.010 | + | 79.3492i | −0.323938 | + | 0.117904i | −0.498870 | − | 0.866677i | \(-0.666252\pi\) |
0.174932 | + | 0.984580i | \(0.444029\pi\) | |||||||
\(674\) | 372.272 | + | 761.983i | 0.552332 | + | 1.13054i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 257.956 | − | 331.075i | 0.381591 | − | 0.489756i | ||||
\(677\) | 115.647 | − | 42.0921i | 0.170823 | − | 0.0621744i | −0.255193 | − | 0.966890i | \(-0.582139\pi\) |
0.426016 | + | 0.904716i | \(0.359917\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 503.847 | + | 600.461i | 0.742042 | + | 0.884331i | ||||
\(680\) | 2.75285 | − | 83.6150i | 0.00404830 | − | 0.122963i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 89.0526 | − | 358.185i | 0.130576 | − | 0.525198i | ||||
\(683\) | 293.573 | + | 169.494i | 0.429829 | + | 0.248162i | 0.699274 | − | 0.714854i | \(-0.253507\pi\) |
−0.269445 | + | 0.963016i | \(0.586840\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −101.181 | − | 175.251i | −0.147710 | − | 0.255841i | ||||
\(686\) | 198.709 | + | 691.246i | 0.289664 | + | 1.00765i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 927.189 | + | 94.9579i | 1.34766 | + | 0.138020i | ||||
\(689\) | 328.193 | + | 119.452i | 0.476332 | + | 0.173371i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −757.805 | − | 133.621i | −1.09668 | − | 0.193374i | −0.404099 | − | 0.914715i | \(-0.632415\pi\) |
−0.692580 | + | 0.721342i | \(0.743526\pi\) | |||||||
\(692\) | −803.463 | − | 111.830i | −1.16107 | − | 0.161603i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −15.6936 | + | 226.595i | −0.0226132 | + | 0.326505i | ||||
\(695\) | 109.432 | − | 130.415i | 0.157456 | − | 0.187648i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 35.2649 | + | 199.997i | 0.0505952 | + | 0.286940i | ||||
\(698\) | −184.110 | − | 81.8241i | −0.263767 | − | 0.117227i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −445.335 | − | 144.043i | −0.636193 | − | 0.205776i | ||||
\(701\) | −118.777 | −0.169440 | −0.0847199 | − | 0.996405i | \(-0.527000\pi\) | ||||
−0.0847199 | + | 0.996405i | \(0.527000\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 29.0066i | 0.0412612i | ||||||||
\(704\) | −33.3096 | + | 505.325i | −0.0473147 | + | 0.717791i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −47.5142 | − | 21.1168i | −0.0673006 | − | 0.0299105i | ||||
\(707\) | −127.021 | + | 22.3971i | −0.179661 | + | 0.0316791i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 176.615 | + | 148.198i | 0.249104 | + | 0.209023i | 0.758787 | − | 0.651339i | \(-0.225793\pi\) |
−0.509682 | + | 0.860363i | \(0.670237\pi\) | |||||||
\(710\) | −9.17801 | + | 132.518i | −0.0129268 | + | 0.186646i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −331.293 | − | 1012.73i | −0.465299 | − | 1.42238i | ||||
\(713\) | −141.650 | + | 803.338i | −0.198668 | + | 1.12670i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 16.6304 | − | 45.6916i | 0.0232593 | − | 0.0639044i | ||||
\(716\) | 146.751 | + | 234.156i | 0.204959 | + | 0.327034i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −32.4305 | − | 112.815i | −0.0451679 | − | 0.157125i | ||||
\(719\) | 157.002 | − | 90.6454i | 0.218362 | − | 0.126072i | −0.386829 | − | 0.922151i | \(-0.626430\pi\) |
0.605192 | + | 0.796080i | \(0.293096\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −114.525 | + | 198.362i | −0.158841 | + | 0.275121i | ||||
\(722\) | −82.5637 | + | 332.086i | −0.114354 | + | 0.459953i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −317.112 | − | 168.071i | −0.438000 | − | 0.232142i | ||||
\(725\) | −759.189 | + | 637.035i | −1.04716 | + | 0.878669i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −129.850 | − | 356.761i | −0.178611 | − | 0.490730i | 0.817788 | − | 0.575520i | \(-0.195200\pi\) |
−0.996399 | + | 0.0847899i | \(0.972978\pi\) | |||||||
\(728\) | −63.2216 | + | 300.380i | −0.0868428 | + | 0.412610i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 57.8836 | + | 118.479i | 0.0792926 | + | 0.162300i | ||||
\(731\) | 271.405 | + | 745.678i | 0.371279 | + | 1.02008i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 201.798 | − | 169.329i | 0.275305 | − | 0.231008i | −0.494672 | − | 0.869079i | \(-0.664712\pi\) |
0.769977 | + | 0.638071i | \(0.220268\pi\) | |||||||
\(734\) | −128.691 | − | 176.881i | −0.175329 | − | 0.240982i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.72264 | − | 1119.24i | −0.00505794 | − | 1.52071i | ||||
\(737\) | −162.549 | + | 281.543i | −0.220555 | + | 0.382013i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 515.106 | − | 297.397i | 0.697032 | − | 0.402431i | −0.109209 | − | 0.994019i | \(-0.534832\pi\) |
0.806241 | + | 0.591587i | \(0.201499\pi\) | |||||||
\(740\) | 4.33134 | + | 4.79759i | 0.00585317 | + | 0.00648323i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 415.978 | − | 44.0008i | 0.560617 | − | 0.0593003i | ||||
\(743\) | 364.905 | − | 1002.57i | 0.491124 | − | 1.34935i | −0.408528 | − | 0.912746i | \(-0.633958\pi\) |
0.899652 | − | 0.436607i | \(-0.143820\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.126592 | − | 0.717937i | 0.000169922 | − | 0.000963674i | ||||
\(746\) | 74.8426 | − | 111.118i | 0.100325 | − | 0.148952i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −399.554 | + | 162.049i | −0.534163 | + | 0.216643i | ||||
\(749\) | −225.003 | − | 188.800i | −0.300405 | − | 0.252070i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 923.903 | − | 162.909i | 1.23023 | − | 0.216923i | 0.479506 | − | 0.877539i | \(-0.340816\pi\) |
0.750724 | + | 0.660616i | \(0.229705\pi\) | |||||||
\(752\) | 725.981 | − | 1004.84i | 0.965400 | − | 1.33622i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 467.842 | + | 451.189i | 0.620481 | + | 0.598394i | ||||
\(755\) | 171.342i | 0.226943i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −496.473 | −0.655843 | −0.327922 | − | 0.944705i | \(-0.606348\pi\) | ||||
−0.327922 | + | 0.944705i | \(0.606348\pi\) | |||||||
\(758\) | −383.987 | + | 398.160i | −0.506580 | + | 0.525277i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −39.8812 | − | 74.6459i | −0.0524753 | − | 0.0982183i | ||||
\(761\) | 34.9002 | + | 197.929i | 0.0458610 | + | 0.260091i | 0.999114 | − | 0.0420821i | \(-0.0133991\pi\) |
−0.953253 | + | 0.302173i | \(0.902288\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −596.023 | + | 710.312i | −0.781157 | + | 0.930947i | ||||
\(764\) | 1096.16 | − | 444.574i | 1.43476 | − | 0.581904i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 66.8455 | + | 45.0232i | 0.0872657 | + | 0.0587770i | ||||
\(767\) | 344.539 | + | 60.7515i | 0.449203 | + | 0.0792067i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −608.961 | − | 221.644i | −0.791886 | − | 0.288223i | −0.0857663 | − | 0.996315i | \(-0.527334\pi\) |
−0.706120 | + | 0.708092i | \(0.749556\pi\) | |||||||
\(770\) | −6.12587 | − | 57.9132i | −0.00795568 | − | 0.0752119i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −834.564 | − | 924.401i | −1.08104 | − | 1.19741i | ||||
\(773\) | −581.802 | − | 1007.71i | −0.752654 | − | 1.30364i | −0.946532 | − | 0.322610i | \(-0.895440\pi\) |
0.193878 | − | 0.981026i | \(-0.437893\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −493.037 | − | 284.655i | −0.636177 | − | 0.367297i | ||||
\(776\) | −807.452 | − | 1029.25i | −1.04053 | − | 1.32635i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −240.923 | + | 175.286i | −0.309669 | + | 0.225303i | ||||
\(779\) | 132.055 | + | 157.376i | 0.169518 | + | 0.202024i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 643.317 | − | 234.148i | 0.823710 | − | 0.299806i | ||||
\(782\) | 856.205 | − | 418.304i | 1.09489 | − | 0.534916i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −101.800 | − | 403.720i | −0.129847 | − | 0.514949i | ||||
\(785\) | −133.049 | + | 48.4259i | −0.169489 | + | 0.0616890i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 179.534 | + | 213.961i | 0.228125 | + | 0.271869i | 0.867950 | − | 0.496652i | \(-0.165437\pi\) |
−0.639825 | + | 0.768521i | \(0.720993\pi\) | |||||||
\(788\) | −509.277 | − | 269.919i | −0.646291 | − | 0.342537i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −33.0606 | − | 8.21958i | −0.0418489 | − | 0.0104045i | ||||
\(791\) | 321.500 | + | 185.618i | 0.406447 | + | 0.234662i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −346.173 | − | 599.590i | −0.436537 | − | 0.756103i | ||||
\(794\) | −1435.38 | + | 412.623i | −1.80779 | + | 0.519676i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −413.947 | − | 660.497i | −0.520034 | − | 0.829770i | ||||
\(797\) | 1142.08 | + | 415.682i | 1.43297 | + | 0.521558i | 0.937781 | − | 0.347228i | \(-0.112877\pi\) |
0.495188 | + | 0.868786i | \(0.335099\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1039.40 | + | 183.275i | 1.30088 | + | 0.229380i | ||||
\(800\) | 734.917 | + | 264.723i | 0.918647 | + | 0.330904i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 115.605 | + | 8.00659i | 0.144145 | + | 0.00998328i | ||||
\(803\) | 436.830 | − | 520.594i | 0.543998 | − | 0.648312i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 22.3501 | + | 126.754i | 0.0277641 | + | 0.157458i | ||||
\(806\) | −151.637 | + | 341.192i | −0.188135 | + | 0.423315i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 213.103 | − | 30.3834i | 0.263741 | − | 0.0376033i | ||||
\(809\) | 1111.49 | 1.37390 | 0.686952 | − | 0.726703i | \(-0.258948\pi\) | ||||
0.686952 | + | 0.726703i | \(0.258948\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 553.768i | 0.682821i | 0.939914 | + | 0.341411i | \(0.110905\pi\) | ||||
−0.939914 | + | 0.341411i | \(0.889095\pi\) | |||||||
\(812\) | 740.667 | + | 239.568i | 0.912152 | + | 0.295035i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 13.5288 | − | 30.4406i | 0.0166201 | − | 0.0373963i | ||||
\(815\) | −158.789 | + | 27.9987i | −0.194833 | + | 0.0343542i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 614.940 | + | 515.996i | 0.752681 | + | 0.631574i | ||||
\(818\) | −588.788 | − | 40.7785i | −0.719789 | − | 0.0498515i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 45.3412 | + | 6.31078i | 0.0552941 | + | 0.00769608i | ||||
\(821\) | 41.0204 | − | 232.638i | 0.0499639 | − | 0.283360i | −0.949581 | − | 0.313522i | \(-0.898491\pi\) |
0.999545 | + | 0.0301620i | \(0.00960231\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −204.440 | + | 561.693i | −0.248408 | + | 0.682495i | 0.751337 | + | 0.659918i | \(0.229409\pi\) |
−0.999745 | + | 0.0225763i | \(0.992813\pi\) | |||||||
\(824\) | 201.923 | − | 324.583i | 0.245052 | − | 0.393912i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 402.706 | − | 115.764i | 0.487538 | − | 0.140150i | ||||
\(827\) | 888.113 | − | 512.752i | 1.07390 | − | 0.620015i | 0.144654 | − | 0.989482i | \(-0.453793\pi\) |
0.929244 | + | 0.369467i | \(0.120460\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 11.4162 | − | 19.7735i | 0.0137711 | − | 0.0238522i | −0.859058 | − | 0.511879i | \(-0.828950\pi\) |
0.872829 | + | 0.488026i | \(0.162283\pi\) | |||||||
\(830\) | −32.5338 | − | 8.08860i | −0.0391973 | − | 0.00974530i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 121.951 | − | 497.569i | 0.146575 | − | 0.598040i | ||||
\(833\) | 271.551 | − | 227.858i | 0.325991 | − | 0.273539i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 34.6172 | + | 95.1099i | 0.0414577 | + | 0.113904i | ||||
\(836\) | −268.076 | + | 344.065i | −0.320665 | + | 0.411561i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 791.908 | − | 386.892i | 0.944998 | − | 0.461685i | ||||
\(839\) | 217.276 | + | 596.961i | 0.258970 | + | 0.711515i | 0.999232 | + | 0.0391958i | \(0.0124796\pi\) |
−0.740261 | + | 0.672319i | \(0.765298\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 618.416 | − | 518.913i | 0.735334 | − | 0.617019i | ||||
\(842\) | −110.077 | + | 80.0875i | −0.130733 | + | 0.0951158i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 97.1596 | + | 454.128i | 0.115118 | + | 0.538067i | ||||
\(845\) | 40.2746 | − | 69.7577i | 0.0476623 | − | 0.0825535i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 242.382 | − | 139.939i | 0.286165 | − | 0.165218i | ||||
\(848\) | −696.275 | + | 50.5504i | −0.821080 | + | 0.0596113i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 69.9577 | + | 661.371i | 0.0823032 | + | 0.778083i | ||||
\(851\) | −25.1803 | + | 69.1824i | −0.0295891 | + | 0.0812954i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 13.1002 | − | 74.2950i | 0.0153578 | − | 0.0870984i | −0.976165 | − | 0.217028i | \(-0.930364\pi\) |
0.991523 | + | 0.129929i | \(0.0414750\pi\) | |||||||
\(854\) | −687.758 | − | 463.233i | −0.805337 | − | 0.542427i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 364.942 | + | 327.279i | 0.426334 | + | 0.382335i | ||||
\(857\) | 186.048 | + | 156.113i | 0.217093 | + | 0.182162i | 0.744848 | − | 0.667234i | \(-0.232522\pi\) |
−0.527756 | + | 0.849396i | \(0.676966\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 832.750 | − | 146.836i | 0.969442 | − | 0.170939i | 0.333563 | − | 0.942728i | \(-0.391749\pi\) |
0.635879 | + | 0.771789i | \(0.280638\pi\) | |||||||
\(860\) | 178.759 | − | 6.48051i | 0.207859 | − | 0.00753548i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 74.4310 | − | 77.1782i | 0.0863469 | − | 0.0895339i | ||||
\(863\) | − | 411.636i | − | 0.476983i | −0.971145 | − | 0.238491i | \(-0.923347\pi\) | ||
0.971145 | − | 0.238491i | \(-0.0766529\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −155.686 | −0.179984 | ||||||||
\(866\) | 988.626 | + | 953.435i | 1.14160 | + | 1.10096i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 16.2009 | + | 446.887i | 0.0186647 | + | 0.514847i | ||||
\(869\) | 30.4880 | + | 172.906i | 0.0350840 | + | 0.198971i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 211.393 | − | 251.928i | 0.242702 | − | 0.289241i | ||||
\(872\) | 1033.19 | − | 1152.08i | 1.18485 | − | 1.32120i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 538.524 | − | 799.542i | 0.616160 | − | 0.914807i | ||||
\(875\) | −179.062 | − | 31.5735i | −0.204642 | − | 0.0360840i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −107.037 | − | 38.9581i | −0.122049 | − | 0.0444221i | 0.280274 | − | 0.959920i | \(-0.409575\pi\) |
−0.402322 | + | 0.915498i | \(0.631797\pi\) | |||||||
\(878\) | 230.747 | − | 24.4077i | 0.262809 | − | 0.0277992i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 7.03772 | + | 96.9368i | 0.00799741 | + | 0.110155i | ||||
\(881\) | −238.369 | − | 412.868i | −0.270567 | − | 0.468635i | 0.698440 | − | 0.715668i | \(-0.253878\pi\) |
−0.969007 | + | 0.247033i | \(0.920544\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 554.004 | + | 319.854i | 0.627411 | + | 0.362236i | 0.779749 | − | 0.626093i | \(-0.215347\pi\) |
−0.152338 | + | 0.988328i | \(0.548680\pi\) | |||||||
\(884\) | 426.514 | − | 91.2516i | 0.482482 | − | 0.103226i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 151.367 | + | 208.048i | 0.170843 | + | 0.234817i | ||||
\(887\) | 106.718 | + | 127.182i | 0.120314 | + | 0.143384i | 0.822839 | − | 0.568274i | \(-0.192389\pi\) |
−0.702525 | + | 0.711659i | \(0.747944\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −697.367 | + | 253.821i | −0.784440 | + | 0.285513i | ||||
\(890\) | −89.7684 | − | 183.742i | −0.100863 | − | 0.206452i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 468.652 | + | 365.148i | 0.525394 | + | 0.409359i | ||||
\(893\) | 1003.30 | − | 365.173i | 1.12352 | − | 0.408928i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 34.0905 | + | 40.6274i | 0.0380899 | + | 0.0453938i | ||||
\(896\) | −130.361 | − | 599.560i | −0.145493 | − | 0.669152i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −349.214 | + | 1404.60i | −0.388880 | + | 1.56414i | ||||
\(899\) | 820.005 | + | 473.430i | 0.912130 | + | 0.526618i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −297.183 | − | 514.736i | −0.329837 | − | 0.571294i | ||||
\(902\) | −65.1819 | − | 226.747i | −0.0722638 | − | 0.251382i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −526.075 | − | 327.270i | −0.581941 | − | 0.362025i | ||||
\(905\) | −64.7254 | − | 23.5581i | −0.0715198 | − | 0.0260311i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −75.7474 | − | 13.3563i | −0.0835142 | − | 0.0147258i | 0.131735 | − | 0.991285i | \(-0.457945\pi\) |
−0.215249 | + | 0.976559i | \(0.569056\pi\) | |||||||
\(908\) | −91.6197 | + | 658.261i | −0.100903 | + | 0.724958i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −4.07038 | + | 58.7710i | −0.00447295 | + | 0.0645835i | ||||
\(911\) | −913.726 | + | 1088.94i | −1.00299 | + | 1.19532i | −0.0223018 | + | 0.999751i | \(0.507099\pi\) |
−0.980690 | + | 0.195568i | \(0.937345\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 30.0022 | + | 170.151i | 0.0328611 | + | 0.186364i | ||||
\(914\) | −96.9715 | − | 43.0972i | −0.106096 | − | 0.0471523i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 286.461 | − | 885.643i | 0.312730 | − | 0.966859i | ||||
\(917\) | −421.219 | −0.459345 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 1228.21i | − | 1.33646i | −0.743955 | − | 0.668229i | \(-0.767052\pi\) | ||
0.743955 | − | 0.668229i | \(-0.232948\pi\) | |||||||
\(920\) | −30.3196 | − | 212.655i | −0.0329561 | − | 0.231147i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 385.322 | + | 171.249i | 0.417920 | + | 0.185737i | ||||
\(923\) | −682.023 | + | 120.259i | −0.738920 | + | 0.130292i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −39.3610 | − | 33.0278i | −0.0425524 | − | 0.0357057i | ||||
\(926\) | −87.5228 | + | 1263.71i | −0.0945170 | + | 1.36470i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1222.29 | − | 440.280i | −1.31712 | − | 0.474439i | ||||
\(929\) | 36.4353 | − | 206.635i | 0.0392200 | − | 0.222427i | −0.958898 | − | 0.283751i | \(-0.908421\pi\) |
0.998118 | + | 0.0613236i | \(0.0195322\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 122.649 | − | 336.974i | 0.131738 | − | 0.361948i | ||||
\(932\) | −692.419 | + | 433.954i | −0.742939 | + | 0.465615i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 162.626 | + | 565.724i | 0.174118 | + | 0.605700i | ||||
\(935\) | −71.6626 | + | 41.3744i | −0.0766445 | + | 0.0442507i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −227.457 | + | 393.966i | −0.242750 | + | 0.420455i | −0.961497 | − | 0.274817i | \(-0.911383\pi\) |
0.718747 | + | 0.695272i | \(0.244716\pi\) | |||||||
\(938\) | 95.0344 | − | 382.245i | 0.101316 | − | 0.407511i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 111.414 | − | 210.214i | 0.118526 | − | 0.223632i | ||||
\(941\) | 869.171 | − | 729.321i | 0.923667 | − | 0.775049i | −0.0510024 | − | 0.998699i | \(-0.516242\pi\) |
0.974670 | + | 0.223650i | \(0.0717972\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 178.340 | + | 489.986i | 0.189120 | + | 0.519604i | ||||
\(944\) | −678.080 | + | 170.982i | −0.718305 | + | 0.181125i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −404.678 | − | 828.315i | −0.427778 | − | 0.875597i | ||||
\(947\) | 4.02952 | + | 11.0710i | 0.00425503 | + | 0.0116906i | 0.941802 | − | 0.336168i | \(-0.109131\pi\) |
−0.937547 | + | 0.347859i | \(0.886909\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −526.633 | + | 441.897i | −0.554934 | + | 0.465645i | ||||
\(950\) | 395.814 | + | 544.029i | 0.416646 | + | 0.572662i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 411.006 | − | 322.436i | 0.431729 | − | 0.338693i | ||||
\(953\) | 67.1825 | − | 116.364i | 0.0704958 | − | 0.122102i | −0.828623 | − | 0.559807i | \(-0.810875\pi\) |
0.899119 | + | 0.437705i | \(0.144209\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 196.603 | − | 113.509i | 0.205867 | − | 0.118858i | ||||
\(956\) | −273.236 | + | 246.681i | −0.285811 | + | 0.258035i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1080.84 | − | 114.328i | 1.12823 | − | 0.119340i | ||||
\(959\) | 432.172 | − | 1187.38i | 0.450648 | − | 1.23815i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 72.4243 | − | 410.739i | 0.0753635 | − | 0.427408i | ||||
\(962\) | −18.8251 | + | 27.9494i | −0.0195687 | + | 0.0290534i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −311.895 | − | 769.021i | −0.323543 | − | 0.797740i | ||||
\(965\) | −183.097 | − | 153.636i | −0.189737 | − | 0.159209i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −946.293 | + | 166.857i | −0.978586 | + | 0.172551i | −0.639992 | − | 0.768381i | \(-0.721062\pi\) |
−0.338594 | + | 0.940933i | \(0.609951\pi\) | |||||||
\(968\) | −411.983 | + | 220.111i | −0.425602 | + | 0.227387i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −180.717 | − | 174.284i | −0.186306 | − | 0.179674i | ||||
\(971\) | 1270.91i | 1.30887i | 0.756118 | + | 0.654435i | \(0.227094\pi\) | ||||
−0.756118 | + | 0.654435i | \(0.772906\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1063.04 | 1.09254 | ||||||||
\(974\) | 233.951 | − | 242.586i | 0.240196 | − | 0.249062i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1121.75 | + | 810.451i | 1.14934 | + | 0.830380i | ||||
\(977\) | −298.940 | − | 1695.37i | −0.305977 | − | 1.73528i | −0.618869 | − | 0.785494i | \(-0.712409\pi\) |
0.312892 | − | 0.949789i | \(-0.398702\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −677.456 | + | 807.361i | −0.691988 | + | 0.824679i | ||||
\(980\) | −30.0322 | − | 74.0484i | −0.0306451 | − | 0.0755596i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 664.961 | + | 447.879i | 0.677150 | + | 0.456088i | ||||
\(983\) | −1386.92 | − | 244.552i | −1.41091 | − | 0.248781i | −0.584291 | − | 0.811544i | \(-0.698627\pi\) |
−0.826619 | + | 0.562763i | \(0.809739\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −103.948 | − | 37.8340i | −0.105531 | − | 0.0384102i | ||||
\(986\) | −116.352 | − | 1099.97i | −0.118004 | − | 1.11559i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 327.505 | − | 295.677i | 0.331483 | − | 0.299268i | ||||
\(989\) | 1018.74 | + | 1764.50i | 1.03007 | + | 1.78413i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −918.471 | − | 530.279i | −0.926812 | − | 0.535095i | −0.0410102 | − | 0.999159i | \(-0.513058\pi\) |
−0.885802 | + | 0.464064i | \(0.846391\pi\) | |||||||
\(992\) | −2.48224 | − | 746.306i | −0.00250226 | − | 0.752325i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −670.715 | + | 487.985i | −0.674764 | + | 0.490931i | ||||
\(995\) | −96.1607 | − | 114.600i | −0.0966440 | − | 0.115176i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1156.49 | + | 420.929i | −1.15997 | + | 0.422195i | −0.849087 | − | 0.528252i | \(-0.822847\pi\) |
−0.310885 | + | 0.950448i | \(0.600625\pi\) | |||||||
\(998\) | −284.174 | + | 138.835i | −0.284744 | + | 0.139113i | ||||
\(999\) | 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 | 324.3.j.a.19.9 | 204 | ||
3.2 | odd | 2 | 108.3.j.a.7.26 | yes | 204 | ||
4.3 | odd | 2 | inner | 324.3.j.a.19.17 | 204 | ||
12.11 | even | 2 | 108.3.j.a.7.18 | ✓ | 204 | ||
27.4 | even | 9 | inner | 324.3.j.a.307.17 | 204 | ||
27.23 | odd | 18 | 108.3.j.a.31.18 | yes | 204 | ||
108.23 | even | 18 | 108.3.j.a.31.26 | yes | 204 | ||
108.31 | odd | 18 | inner | 324.3.j.a.307.9 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.18 | ✓ | 204 | 12.11 | even | 2 | ||
108.3.j.a.7.26 | yes | 204 | 3.2 | odd | 2 | ||
108.3.j.a.31.18 | yes | 204 | 27.23 | odd | 18 | ||
108.3.j.a.31.26 | yes | 204 | 108.23 | even | 18 | ||
324.3.j.a.19.9 | 204 | 1.1 | even | 1 | trivial | ||
324.3.j.a.19.17 | 204 | 4.3 | odd | 2 | inner | ||
324.3.j.a.307.9 | 204 | 108.31 | odd | 18 | inner | ||
324.3.j.a.307.17 | 204 | 27.4 | even | 9 | inner |