Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,3,Mod(5,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([0, 23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.o (of order \(54\), degree \(18\), 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: | \(324\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 5.6 | ||
Character | \(\chi\) | \(=\) | 324.5 |
Dual form | 324.3.o.a.65.6 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{23}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.59067 | + | 2.54358i | −0.530222 | + | 0.847859i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.52291 | + | 1.87823i | −0.504581 | + | 0.375647i | −0.819142 | − | 0.573591i | \(-0.805550\pi\) |
0.314561 | + | 0.949237i | \(0.398143\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.60759 | + | 3.03046i | −0.658227 | + | 0.432922i | −0.834192 | − | 0.551474i | \(-0.814066\pi\) |
0.175966 | + | 0.984396i | \(0.443695\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −3.93956 | − | 8.09196i | −0.437729 | − | 0.899107i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.644815 | − | 5.51675i | 0.0586196 | − | 0.501523i | −0.931753 | − | 0.363093i | \(-0.881721\pi\) |
0.990372 | − | 0.138429i | \(-0.0442053\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.12574 | + | 10.4407i | 0.240441 | + | 0.803130i | 0.989985 | + | 0.141175i | \(0.0450879\pi\) |
−0.749543 | + | 0.661955i | \(0.769727\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.764332 | − | 9.40485i | −0.0509554 | − | 0.626990i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −9.72857 | − | 1.71541i | −0.572269 | − | 0.100906i | −0.119977 | − | 0.992777i | \(-0.538282\pi\) |
−0.452291 | + | 0.891870i | \(0.649393\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.56429 | − | 31.5567i | −0.292857 | − | 1.66088i | −0.675785 | − | 0.737098i | \(-0.736195\pi\) |
0.382928 | − | 0.923778i | \(-0.374916\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.379070 | − | 16.5402i | −0.0180510 | − | 0.787628i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 11.1738 | − | 16.9889i | 0.485817 | − | 0.738648i | −0.506518 | − | 0.862229i | \(-0.669068\pi\) |
0.992334 | + | 0.123581i | \(0.0394380\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.33279 | + | 14.4725i | −0.173312 | + | 0.578901i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 26.8491 | + | 2.85102i | 0.994409 | + | 0.105593i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 18.8382 | − | 17.7729i | 0.649593 | − | 0.612859i | −0.289230 | − | 0.957260i | \(-0.593399\pi\) |
0.938823 | + | 0.344401i | \(0.111918\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.17260 | − | 20.1327i | 0.0378258 | − | 0.649443i | −0.925108 | − | 0.379705i | \(-0.876026\pi\) |
0.962934 | − | 0.269739i | \(-0.0869373\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 13.0066 | + | 10.4154i | 0.394139 | + | 0.315619i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.93260 | − | 16.2997i | 0.169503 | − | 0.465705i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −51.6114 | + | 18.7850i | −1.39490 | + | 0.507703i | −0.926661 | − | 0.375897i | \(-0.877335\pi\) |
−0.468242 | + | 0.883601i | \(0.655112\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −31.5287 | − | 8.65710i | −0.808428 | − | 0.221977i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 14.2410 | − | 60.0876i | 0.347342 | − | 1.46555i | −0.466530 | − | 0.884506i | \(-0.654496\pi\) |
0.813872 | − | 0.581045i | \(-0.197356\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.52424 | − | 19.7614i | −0.198238 | − | 0.459568i | 0.789880 | − | 0.613261i | \(-0.210143\pi\) |
−0.988119 | + | 0.153693i | \(0.950883\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 25.1377 | + | 13.0158i | 0.558616 | + | 0.289241i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −52.0796 | + | 3.03329i | −1.10808 | + | 0.0645381i | −0.602407 | − | 0.798189i | \(-0.705791\pi\) |
−0.505669 | + | 0.862727i | \(0.668754\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −7.36173 | + | 17.0664i | −0.150239 | + | 0.348294i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 19.8382 | − | 22.0167i | 0.388984 | − | 0.431700i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.55662 | − | 4.94017i | −0.161446 | − | 0.0932107i | 0.417100 | − | 0.908860i | \(-0.363046\pi\) |
−0.578546 | + | 0.815650i | \(0.696380\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 8.73493 | + | 15.1293i | 0.158817 | + | 0.275079i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 89.1177 | + | 36.0429i | 1.56347 | + | 0.632331i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −9.04028 | − | 77.3445i | −0.153225 | − | 1.31092i | −0.822865 | − | 0.568238i | \(-0.807625\pi\) |
0.669639 | − | 0.742686i | \(-0.266449\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 19.5983 | + | 9.84264i | 0.321284 | + | 0.161355i | 0.602130 | − | 0.798398i | \(-0.294319\pi\) |
−0.280846 | + | 0.959753i | \(0.590615\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 42.6742 | + | 25.3457i | 0.677369 | + | 0.402313i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −27.4960 | − | 20.4700i | −0.423015 | − | 0.314923i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −42.3478 | + | 44.8861i | −0.632057 | + | 0.669941i | −0.961681 | − | 0.274171i | \(-0.911597\pi\) |
0.329624 | + | 0.944112i | \(0.393078\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 25.4388 | + | 55.4450i | 0.368679 | + | 0.803551i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −61.2446 | + | 72.9885i | −0.862600 | + | 1.02801i | 0.136701 | + | 0.990612i | \(0.456350\pi\) |
−0.999301 | + | 0.0373940i | \(0.988094\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −46.6879 | + | 39.1758i | −0.639560 | + | 0.536655i | −0.903883 | − | 0.427779i | \(-0.859296\pi\) |
0.264323 | + | 0.964434i | \(0.414852\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −29.9200 | − | 34.0417i | −0.398933 | − | 0.453890i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 13.7472 | + | 27.3730i | 0.178535 | + | 0.355493i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.3218 | − | 2.44630i | 0.130655 | − | 0.0309659i | −0.164768 | − | 0.986332i | \(-0.552688\pi\) |
0.295423 | + | 0.955366i | \(0.404539\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −49.9597 | + | 63.7576i | −0.616786 | + | 0.787131i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −18.8178 | − | 79.3985i | −0.226720 | − | 0.956609i | −0.960733 | − | 0.277473i | \(-0.910503\pi\) |
0.734013 | − | 0.679136i | \(-0.237645\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 27.7662 | − | 13.9447i | 0.326661 | − | 0.164055i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 15.2415 | + | 76.1871i | 0.175190 | + | 0.875714i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 15.4859 | + | 18.4553i | 0.173998 | + | 0.207363i | 0.845995 | − | 0.533191i | \(-0.179007\pi\) |
−0.671996 | + | 0.740554i | \(0.734563\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −46.0422 | − | 38.6340i | −0.505958 | − | 0.424549i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 49.3440 | + | 35.0071i | 0.530580 | + | 0.376420i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 73.3089 | + | 69.1634i | 0.771673 | + | 0.728036i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −91.4351 | + | 122.819i | −0.942630 | + | 1.26617i | 0.0212336 | + | 0.999775i | \(0.493241\pi\) |
−0.963863 | + | 0.266397i | \(0.914167\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −47.1816 | + | 16.5158i | −0.476582 | + | 0.166826i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 11.9263 | − | 23.7472i | 0.118082 | − | 0.235121i | −0.826825 | − | 0.562459i | \(-0.809855\pi\) |
0.944907 | + | 0.327338i | \(0.106152\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 17.8257 | − | 2.08353i | 0.173065 | − | 0.0202284i | −0.0291189 | − | 0.999576i | \(-0.509270\pi\) |
0.202184 | + | 0.979348i | \(0.435196\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 32.0227 | + | 41.0174i | 0.304978 | + | 0.390641i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 25.0065 | − | 14.4375i | 0.233706 | − | 0.134930i | −0.378575 | − | 0.925571i | \(-0.623586\pi\) |
0.612281 | + | 0.790641i | \(0.290252\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −66.5698 | + | 115.302i | −0.610732 | + | 1.05782i | 0.380385 | + | 0.924828i | \(0.375792\pi\) |
−0.991117 | + | 0.132991i | \(0.957542\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 34.3154 | − | 161.158i | 0.309147 | − | 1.45188i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 102.979 | + | 44.4207i | 0.911316 | + | 0.393104i | 0.799528 | − | 0.600629i | \(-0.205083\pi\) |
0.111788 | + | 0.993732i | \(0.464342\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.71874 | + | 63.8484i | 0.0323369 | + | 0.555203i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 72.1716 | − | 66.4251i | 0.616851 | − | 0.567736i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 50.0237 | − | 21.5781i | 0.420367 | − | 0.181329i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 87.7197 | + | 20.7900i | 0.724956 | + | 0.171818i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 130.185 | + | 131.802i | 1.05841 | + | 1.07156i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −43.1453 | − | 118.541i | −0.345163 | − | 0.948327i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.35575 | + | 0.493453i | 0.0106752 | + | 0.00388546i | 0.347352 | − | 0.937735i | \(-0.387081\pi\) |
−0.336677 | + | 0.941620i | \(0.609303\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 63.8239 | + | 9.75174i | 0.494759 | + | 0.0755949i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −197.277 | − | 11.4901i | −1.50593 | − | 0.0877106i | −0.714789 | − | 0.699340i | \(-0.753477\pi\) |
−0.791144 | + | 0.611630i | \(0.790514\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 121.269 | + | 128.538i | 0.911797 | + | 0.966448i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −73.0925 | + | 43.2359i | −0.541426 | + | 0.320266i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −80.2198 | − | 24.0162i | −0.585546 | − | 0.175301i | −0.0196916 | − | 0.999806i | \(-0.506268\pi\) |
−0.565855 | + | 0.824505i | \(0.691454\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −100.560 | − | 66.1390i | −0.723450 | − | 0.475820i | 0.133612 | − | 0.991034i | \(-0.457342\pi\) |
−0.857062 | + | 0.515213i | \(0.827713\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 75.1258 | − | 137.293i | 0.532807 | − | 0.973712i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 59.6142 | − | 10.5116i | 0.416882 | − | 0.0735076i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −14.1453 | + | 80.2219i | −0.0975537 | + | 0.553254i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −31.6997 | − | 45.8721i | −0.215644 | − | 0.312055i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −4.28158 | + | 1.28182i | −0.0287354 | + | 0.00860282i | −0.301139 | − | 0.953580i | \(-0.597367\pi\) |
0.272403 | + | 0.962183i | \(0.412182\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.05223 | + | 0.824288i | 0.0467035 | + | 0.00545886i | 0.139413 | − | 0.990234i | \(-0.455479\pi\) |
−0.0927091 | + | 0.995693i | \(0.529553\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 24.4453 | + | 85.4812i | 0.159773 | + | 0.558701i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 34.8556 | + | 52.9954i | 0.224875 | + | 0.341906i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −47.6030 | − | 63.9420i | −0.303204 | − | 0.407274i | 0.624242 | − | 0.781231i | \(-0.285408\pi\) |
−0.927446 | + | 0.373958i | \(0.878001\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 26.1764 | − | 13.9063i | 0.164631 | − | 0.0874608i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 112.140i | 0.696519i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −220.718 | −1.35410 | −0.677050 | − | 0.735937i | \(-0.736742\pi\) | ||||
−0.677050 | + | 0.735937i | \(0.736742\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −52.3770 | − | 1.84776i | −0.317436 | − | 0.0111986i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 237.173 | − | 176.569i | 1.42020 | − | 1.05730i | 0.432381 | − | 0.901691i | \(-0.357674\pi\) |
0.987819 | − | 0.155608i | \(-0.0497337\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 41.9597 | − | 27.5973i | 0.248282 | − | 0.163298i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −233.434 | + | 169.346i | −1.36511 | + | 0.990325i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 29.1417 | − | 249.323i | 0.168449 | − | 1.44118i | −0.599351 | − | 0.800486i | \(-0.704575\pi\) |
0.767800 | − | 0.640689i | \(-0.221351\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −23.8947 | − | 79.8137i | −0.136541 | − | 0.456079i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 211.112 | + | 100.035i | 1.19272 | + | 0.565167i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 4.83021 | + | 0.851697i | 0.0269844 | + | 0.00475808i | 0.187124 | − | 0.982336i | \(-0.440083\pi\) |
−0.160140 | + | 0.987094i | \(0.551194\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −30.3013 | − | 171.847i | −0.167411 | − | 0.949434i | −0.946544 | − | 0.322575i | \(-0.895452\pi\) |
0.779133 | − | 0.626859i | \(-0.215660\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −56.2099 | + | 34.1934i | −0.307158 | + | 0.186849i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 94.9280 | − | 144.331i | 0.513125 | − | 0.780168i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −15.7366 | + | 52.5639i | −0.0841530 | + | 0.281091i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −132.349 | + | 68.2286i | −0.700260 | + | 0.360998i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −119.101 | + | 112.366i | −0.623567 | + | 0.588305i | −0.931785 | − | 0.363011i | \(-0.881749\pi\) |
0.308218 | + | 0.951316i | \(0.400267\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.8548 | − | 203.540i | 0.0614241 | − | 1.05461i | −0.816972 | − | 0.576677i | \(-0.804349\pi\) |
0.878396 | − | 0.477933i | \(-0.158614\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 95.8040 | − | 37.3772i | 0.491302 | − | 0.191678i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −74.6460 | + | 205.088i | −0.378914 | + | 1.04106i | 0.592894 | + | 0.805281i | \(0.297985\pi\) |
−0.971807 | + | 0.235776i | \(0.924237\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −23.0111 | + | 8.37537i | −0.115634 | + | 0.0420873i | −0.399189 | − | 0.916869i | \(-0.630708\pi\) |
0.283555 | + | 0.958956i | \(0.408486\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −46.8099 | − | 179.114i | −0.232885 | − | 0.891112i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −32.9385 | + | 138.979i | −0.162259 | + | 0.684623i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 76.9297 | + | 178.343i | 0.375267 | + | 0.869967i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −181.493 | − | 23.4889i | −0.876780 | − | 0.113473i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −177.678 | + | 10.3486i | −0.850134 | + | 0.0495147i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 73.6231 | − | 170.678i | 0.348925 | − | 0.808899i | −0.649881 | − | 0.760036i | \(-0.725181\pi\) |
0.998806 | − | 0.0488624i | \(-0.0155596\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −88.2321 | − | 271.881i | −0.414235 | − | 1.27643i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 58.6224 | + | 33.8457i | 0.272662 | + | 0.157422i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 55.6086 | + | 96.3168i | 0.256261 | + | 0.443856i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −25.3818 | − | 181.070i | −0.115899 | − | 0.826803i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −12.4989 | − | 106.935i | −0.0565561 | − | 0.483868i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 69.9923 | + | 35.1515i | 0.313867 | + | 0.157630i | 0.598758 | − | 0.800930i | \(-0.295661\pi\) |
−0.284891 | + | 0.958560i | \(0.591957\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 134.180 | − | 21.9547i | 0.596357 | − | 0.0975764i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −270.895 | − | 201.674i | −1.19337 | − | 0.888430i | −0.197596 | − | 0.980284i | \(-0.563313\pi\) |
−0.995772 | + | 0.0918540i | \(0.970721\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 154.888 | − | 164.172i | 0.676367 | − | 0.716907i | −0.294733 | − | 0.955579i | \(-0.595231\pi\) |
0.971100 | + | 0.238673i | \(0.0767123\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −91.4925 | − | 8.57413i | −0.396071 | − | 0.0371175i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −176.360 | + | 210.177i | −0.756909 | + | 0.902049i | −0.997648 | − | 0.0685410i | \(-0.978166\pi\) |
0.240740 | + | 0.970590i | \(0.422610\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 125.695 | − | 105.470i | 0.534871 | − | 0.448810i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −10.1961 | + | 30.1455i | −0.0430216 | + | 0.127196i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 142.252 | + | 283.247i | 0.595197 | + | 1.18513i | 0.966511 | + | 0.256627i | \(0.0826112\pi\) |
−0.371314 | + | 0.928508i | \(0.621093\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −304.379 | + | 72.1391i | −1.26298 | + | 0.299332i | −0.806944 | − | 0.590628i | \(-0.798880\pi\) |
−0.456038 | + | 0.889960i | \(0.650732\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −82.7033 | − | 228.493i | −0.340343 | − | 0.940302i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −13.4818 | − | 56.8840i | −0.0550276 | − | 0.232180i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 312.081 | − | 156.733i | 1.26348 | − | 0.634546i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 231.889 | + | 78.4320i | 0.931282 | + | 0.314988i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 53.0256 | + | 63.1935i | 0.211257 | + | 0.251767i | 0.861259 | − | 0.508166i | \(-0.169676\pi\) |
−0.650002 | + | 0.759933i | \(0.725232\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −86.5185 | − | 72.5976i | −0.341970 | − | 0.286947i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −8.69731 | + | 92.8068i | −0.0341071 | + | 0.363948i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 14.9632 | + | 14.1170i | 0.0582225 | + | 0.0549301i | 0.714803 | − | 0.699326i | \(-0.246516\pi\) |
−0.656581 | + | 0.754256i | \(0.727998\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 180.877 | − | 242.960i | 0.698366 | − | 0.938068i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −218.032 | − | 82.4203i | −0.835371 | − | 0.315787i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 121.451 | − | 241.828i | 0.461790 | − | 0.919499i | −0.535401 | − | 0.844598i | \(-0.679840\pi\) |
0.997191 | − | 0.0749012i | \(-0.0238641\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 30.8663 | − | 3.60776i | 0.116477 | − | 0.0136142i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −71.5754 | + | 10.0332i | −0.268073 | + | 0.0375776i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 36.2471 | − | 20.9273i | 0.134748 | − | 0.0777966i | −0.431111 | − | 0.902299i | \(-0.641878\pi\) |
0.565858 | + | 0.824502i | \(0.308545\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 159.519 | − | 276.295i | 0.588631 | − | 1.01954i | −0.405781 | − | 0.913971i | \(-0.633000\pi\) |
0.994412 | − | 0.105569i | \(-0.0336664\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 171.506 | − | 55.6581i | 0.628228 | − | 0.203876i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 77.0474 | + | 33.2350i | 0.280172 | + | 0.120855i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.7281 | − | 218.533i | −0.0459498 | − | 0.788928i | −0.940045 | − | 0.341051i | \(-0.889217\pi\) |
0.894095 | − | 0.447877i | \(-0.147820\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −167.533 | + | 69.8256i | −0.600476 | + | 0.250271i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −380.850 | + | 164.283i | −1.35534 | + | 0.584636i | −0.944932 | − | 0.327266i | \(-0.893873\pi\) |
−0.410407 | + | 0.911902i | \(0.634613\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 174.395 | + | 41.3323i | 0.616236 | + | 0.146051i | 0.526867 | − | 0.849948i | \(-0.323367\pi\) |
0.0893695 | + | 0.995999i | \(0.471515\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −292.532 | + | 76.4510i | −1.02643 | + | 0.268249i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 116.476 | + | 320.015i | 0.405840 | + | 1.11504i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −179.869 | − | 65.4669i | −0.622383 | − | 0.226529i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −166.956 | − | 427.936i | −0.573732 | − | 1.47057i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 263.611 | + | 15.3536i | 0.899698 | + | 0.0524014i | 0.501756 | − | 0.865009i | \(-0.332688\pi\) |
0.397942 | + | 0.917411i | \(0.369725\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 168.079 | + | 178.153i | 0.569759 | + | 0.603909i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 33.0410 | − | 146.281i | 0.111249 | − | 0.492529i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 212.302 | + | 63.5591i | 0.710041 | + | 0.212572i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 99.1623 | + | 65.2201i | 0.329443 | + | 0.216678i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 41.4321 | + | 68.1094i | 0.136740 | + | 0.224784i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −67.9314 | + | 11.9781i | −0.222726 | + | 0.0392726i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.84099 | − | 27.4546i | 0.0157687 | − | 0.0894287i | −0.975908 | − | 0.218183i | \(-0.929987\pi\) |
0.991676 | + | 0.128755i | \(0.0410980\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −23.0552 | + | 48.6553i | −0.0746121 | + | 0.157460i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 363.335 | − | 108.775i | 1.16828 | − | 0.349760i | 0.356824 | − | 0.934172i | \(-0.383860\pi\) |
0.811458 | + | 0.584411i | \(0.198675\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 518.083 | + | 60.5552i | 1.65522 | + | 0.193467i | 0.891797 | − | 0.452436i | \(-0.149445\pi\) |
0.763419 | + | 0.645903i | \(0.223519\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −155.268 | + | 16.2073i | −0.492915 | + | 0.0514517i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 20.6710 | + | 31.4288i | 0.0652083 | + | 0.0991444i | 0.866620 | − | 0.498969i | \(-0.166288\pi\) |
−0.801412 | + | 0.598113i | \(0.795917\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −85.9015 | − | 115.386i | −0.269284 | − | 0.361711i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −3.05408 | + | 86.5713i | −0.00951425 | + | 0.269693i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 316.546i | 0.980019i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −164.646 | −0.506604 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −187.390 | − | 352.733i | −0.573058 | − | 1.07869i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 230.769 | − | 171.801i | 0.701425 | − | 0.522192i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −56.0498 | + | 36.8645i | −0.169335 | + | 0.111373i | −0.631347 | − | 0.775500i | \(-0.717498\pi\) |
0.462013 | + | 0.886873i | \(0.347127\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 355.334 | + | 343.633i | 1.06707 | + | 1.03193i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 22.5330 | − | 192.782i | 0.0672628 | − | 0.575470i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 128.856 | + | 430.410i | 0.382363 | + | 1.27718i | 0.905287 | + | 0.424801i | \(0.139656\pi\) |
−0.522924 | + | 0.852379i | \(0.675159\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −276.792 | + | 191.276i | −0.816496 | + | 0.564236i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −110.311 | − | 19.4508i | −0.323493 | − | 0.0570406i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −64.7237 | − | 367.066i | −0.188699 | − | 1.07016i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −168.319 | − | 92.1025i | −0.487880 | − | 0.266964i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −215.441 | + | 327.563i | −0.620869 | + | 0.943985i | 0.378959 | + | 0.925413i | \(0.376282\pi\) |
−0.999828 | + | 0.0185713i | \(0.994088\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −154.625 | + | 516.485i | −0.443053 | + | 1.47990i | 0.386929 | + | 0.922110i | \(0.373536\pi\) |
−0.829982 | + | 0.557790i | \(0.811649\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 54.1565 | + | 289.234i | 0.154292 | + | 0.824029i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −409.040 | + | 385.909i | −1.15875 | + | 1.09323i | −0.164478 | + | 0.986381i | \(0.552594\pi\) |
−0.994276 | + | 0.106847i | \(0.965925\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 17.4249 | − | 299.175i | 0.0490843 | − | 0.842745i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −24.6854 | + | 161.563i | −0.0691467 | + | 0.452557i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −199.030 | + | 546.831i | −0.554402 | + | 1.52321i | 0.273238 | + | 0.961947i | \(0.411905\pi\) |
−0.827639 | + | 0.561260i | \(0.810317\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −625.632 | + | 227.711i | −1.73305 | + | 0.630780i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −192.414 | + | 190.052i | −0.530065 | + | 0.523559i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 44.2079 | − | 186.528i | 0.121117 | − | 0.511035i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 70.7248 | + | 163.959i | 0.192711 | + | 0.446754i | 0.986986 | − | 0.160804i | \(-0.0514087\pi\) |
−0.794276 | + | 0.607558i | \(0.792149\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −542.330 | + | 121.481i | −1.46973 | + | 0.329217i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 54.3963 | − | 3.16822i | 0.146621 | − | 0.00853969i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 99.4679 | − | 230.592i | 0.266670 | − | 0.618210i | −0.731289 | − | 0.682068i | \(-0.761081\pi\) |
0.997959 | + | 0.0638573i | \(0.0203403\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 370.147 | + | 78.8154i | 0.987060 | + | 0.210174i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 244.445 | + | 141.130i | 0.648394 | + | 0.374351i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 270.449 | + | 468.431i | 0.713585 | + | 1.23597i | 0.963503 | + | 0.267698i | \(0.0862631\pi\) |
−0.249918 | + | 0.968267i | \(0.580404\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.41168 | + | 2.66354i | −0.00895455 | + | 0.00699092i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 58.5939 | + | 501.303i | 0.152987 | + | 1.30888i | 0.823640 | + | 0.567113i | \(0.191940\pi\) |
−0.670653 | + | 0.741771i | \(0.733986\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −86.0958 | − | 43.2389i | −0.223625 | − | 0.112309i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −126.327 | + | 146.829i | −0.326426 | + | 0.379404i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 282.917 | + | 210.624i | 0.727293 | + | 0.541449i | 0.895912 | − | 0.444232i | \(-0.146523\pi\) |
−0.168619 | + | 0.985681i | \(0.553931\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −137.848 | + | 146.110i | −0.352552 | + | 0.373683i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 343.028 | − | 483.513i | 0.872845 | − | 1.23031i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −21.4461 | + | 25.5585i | −0.0542940 | + | 0.0647050i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −188.267 | + | 157.975i | −0.474224 | + | 0.397921i | −0.848333 | − | 0.529464i | \(-0.822393\pi\) |
0.374109 | + | 0.927385i | \(0.377949\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −519.844 | + | 103.997i | −1.30287 | + | 0.260643i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −288.518 | − | 574.486i | −0.719495 | − | 1.43263i | −0.894042 | − | 0.447984i | \(-0.852142\pi\) |
0.174546 | − | 0.984649i | \(-0.444154\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 213.865 | − | 50.6869i | 0.530682 | − | 0.125774i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 6.29182 | − | 254.690i | 0.0155353 | − | 0.628865i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 70.3524 | + | 296.840i | 0.172856 | + | 0.729337i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 417.061 | − | 209.456i | 1.01971 | − | 0.512117i | 0.141270 | − | 0.989971i | \(-0.454881\pi\) |
0.878439 | + | 0.477854i | \(0.158585\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 188.690 | − | 165.843i | 0.459100 | − | 0.403512i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 276.043 | + | 328.975i | 0.668385 | + | 0.796550i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 196.605 | + | 164.971i | 0.473746 | + | 0.397520i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 328.186 | − | 150.576i | 0.787017 | − | 0.361093i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 498.355 | + | 470.173i | 1.18939 | + | 1.12213i | 0.989831 | + | 0.142247i | \(0.0454326\pi\) |
0.199559 | + | 0.979886i | \(0.436049\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 108.550 | − | 145.807i | 0.257838 | − | 0.346336i | −0.654289 | − | 0.756245i | \(-0.727032\pi\) |
0.912127 | + | 0.409909i | \(0.134439\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 229.716 | + | 409.476i | 0.543064 | + | 0.968029i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 66.9782 | − | 133.364i | 0.157596 | − | 0.313799i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −120.129 | + | 14.0410i | −0.281331 | + | 0.0328829i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −68.0892 | + | 168.354i | −0.158716 | + | 0.392433i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 219.993 | − | 127.013i | 0.510425 | − | 0.294694i | −0.222583 | − | 0.974914i | \(-0.571449\pi\) |
0.733008 | + | 0.680220i | \(0.238116\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 115.287 | − | 199.683i | 0.266252 | − | 0.461161i | −0.701639 | − | 0.712532i | \(-0.747548\pi\) |
0.967891 | + | 0.251371i | \(0.0808814\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −181.550 | − | 163.586i | −0.417357 | − | 0.376059i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −598.287 | − | 258.076i | −1.36908 | − | 0.590563i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −18.4113 | − | 316.111i | −0.0419393 | − | 0.720069i | −0.952095 | − | 0.305803i | \(-0.901075\pi\) |
0.910156 | − | 0.414267i | \(-0.135962\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 167.103 | − | 7.66339i | 0.378918 | − | 0.0173773i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 224.222 | − | 96.7200i | 0.506145 | − | 0.218330i | −0.127667 | − | 0.991817i | \(-0.540749\pi\) |
0.633812 | + | 0.773487i | \(0.281489\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −73.7328 | − | 17.4750i | −0.165692 | − | 0.0392696i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 3.55015 | − | 12.9295i | 0.00794217 | − | 0.0289250i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −218.698 | − | 600.868i | −0.487078 | − | 1.33824i | −0.903315 | − | 0.428979i | \(-0.858873\pi\) |
0.416237 | − | 0.909256i | \(-0.363349\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −322.305 | − | 117.309i | −0.714645 | − | 0.260110i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −13.3144 | + | 16.6267i | −0.0293916 | + | 0.0367036i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 188.724 | + | 10.9919i | 0.414777 | + | 0.0241580i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 189.960 | + | 201.346i | 0.415668 | + | 0.440582i | 0.901047 | − | 0.433722i | \(-0.142800\pi\) |
−0.485379 | + | 0.874304i | \(0.661318\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −256.312 | − | 73.7935i | −0.558415 | − | 0.160770i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −571.275 | − | 171.028i | −1.23921 | − | 0.370994i | −0.400865 | − | 0.916137i | \(-0.631290\pi\) |
−0.838343 | + | 0.545143i | \(0.816475\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 491.968 | + | 323.572i | 1.06257 | + | 0.698860i | 0.955380 | − | 0.295379i | \(-0.0954458\pi\) |
0.107185 | + | 0.994239i | \(0.465816\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −190.242 | + | 4.35998i | −0.409122 | + | 0.00937631i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −701.939 | + | 123.771i | −1.50308 | + | 0.265034i | −0.863759 | − | 0.503905i | \(-0.831896\pi\) |
−0.639323 | + | 0.768939i | \(0.720785\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 59.0959 | − | 335.150i | 0.126004 | − | 0.714605i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 238.362 | − | 19.3717i | 0.506076 | − | 0.0411288i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −114.515 | + | 34.2836i | −0.242104 | + | 0.0724812i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 480.813 | + | 56.1990i | 1.01224 | + | 0.118314i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −6.26627 | + | 88.7019i | −0.0131368 | + | 0.185958i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 471.396 | + | 716.722i | 0.984125 | + | 1.49629i | 0.863976 | + | 0.503533i | \(0.167967\pi\) |
0.120149 | + | 0.992756i | \(0.461663\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −357.452 | − | 480.142i | −0.743144 | − | 0.998216i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −285.235 | − | 178.376i | −0.590550 | − | 0.369309i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | − | 481.596i | − | 0.992982i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 627.663 | 1.28884 | 0.644418 | − | 0.764674i | \(-0.277100\pi\) | ||||
0.644418 | + | 0.764674i | \(0.277100\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 351.089 | − | 561.414i | 0.717974 | − | 1.14809i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 343.128 | − | 255.449i | 0.698835 | − | 0.520264i | −0.188104 | − | 0.982149i | \(-0.560234\pi\) |
0.886940 | + | 0.461885i | \(0.152827\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −213.756 | + | 140.590i | −0.433583 | + | 0.285172i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 88.0142 | − | 130.286i | 0.177807 | − | 0.263204i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 61.0013 | − | 521.900i | 0.122739 | − | 1.05010i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −97.5900 | − | 325.973i | −0.195571 | − | 0.653253i | −0.998374 | − | 0.0570082i | \(-0.981844\pi\) |
0.802803 | − | 0.596245i | \(-0.203341\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 71.8533 | + | 884.131i | 0.143420 | + | 1.76473i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −599.268 | − | 105.667i | −1.19139 | − | 0.210074i | −0.457415 | − | 0.889253i | \(-0.651225\pi\) |
−0.733972 | + | 0.679180i | \(0.762336\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 14.5139 | + | 82.3124i | 0.0287404 | + | 0.162995i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.45206 | + | 150.626i | 0.00680880 | + | 0.297092i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −147.345 | + | 224.027i | −0.289479 | + | 0.440131i | −0.950724 | − | 0.310039i | \(-0.899658\pi\) |
0.661245 | + | 0.750170i | \(0.270028\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 96.3979 | − | 321.991i | 0.188646 | − | 0.630120i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −59.4273 | − | 863.130i | −0.115843 | − | 1.68252i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −41.0593 | + | 38.7374i | −0.0797267 | + | 0.0752183i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −16.8478 | + | 289.266i | −0.0325877 | + | 0.559508i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 587.818 | + | 470.714i | 1.13260 | + | 0.906964i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −147.583 | + | 405.481i | −0.283268 | + | 0.778274i | 0.713699 | + | 0.700453i | \(0.247019\pi\) |
−0.996967 | + | 0.0778211i | \(0.975204\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −619.082 | + | 225.327i | −1.18371 | + | 0.430836i | −0.857512 | − | 0.514464i | \(-0.827991\pi\) |
−0.326201 | + | 0.945300i | \(0.605769\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 241.021 | + | 66.1791i | 0.459087 | + | 0.126055i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −45.9436 | + | 193.851i | −0.0871795 | + | 0.367839i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 45.7566 | + | 106.076i | 0.0864964 | + | 0.200521i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −590.254 | + | 377.857i | −1.11159 | + | 0.711596i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 671.869 | − | 39.1319i | 1.26054 | − | 0.0734183i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −35.9721 | + | 83.3926i | −0.0672375 | + | 0.155874i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −9.84961 | + | 10.9312i | −0.0183419 | + | 0.0203561i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 89.4041 | + | 51.6175i | 0.165870 | + | 0.0957653i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −112.301 | − | 194.512i | −0.207581 | − | 0.359541i | 0.743371 | − | 0.668880i | \(-0.233226\pi\) |
−0.950952 | + | 0.309338i | \(0.899892\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 485.307 | + | 196.278i | 0.893751 | + | 0.361470i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −48.6153 | − | 415.931i | −0.0892024 | − | 0.763175i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −425.730 | − | 213.810i | −0.778300 | − | 0.390877i | 0.0148606 | − | 0.999890i | \(-0.495270\pi\) |
−0.793160 | + | 0.609013i | \(0.791566\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 2.43745 | − | 197.364i | 0.00443980 | − | 0.359498i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −665.675 | − | 495.577i | −1.20812 | − | 0.899413i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −40.1450 | + | 42.5512i | −0.0725950 | + | 0.0769462i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 216.118 | + | 471.039i | 0.389403 | + | 0.848719i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 376.440 | − | 448.624i | 0.675835 | − | 0.805429i | −0.313730 | − | 0.949512i | \(-0.601579\pi\) |
0.989566 | + | 0.144083i | \(0.0460233\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 179.678 | − | 150.768i | 0.321428 | − | 0.269710i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −108.669 | − | 123.639i | −0.193705 | − | 0.220390i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −224.988 | − | 447.988i | −0.399624 | − | 0.795716i | 0.600368 | − | 0.799724i | \(-0.295021\pi\) |
−0.999992 | + | 0.00400743i | \(0.998724\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −343.238 | + | 81.3489i | −0.607501 | + | 0.143980i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 36.9787 | − | 445.169i | 0.0652182 | − | 0.785131i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −97.5056 | − | 411.409i | −0.171363 | − | 0.723038i | −0.989075 | − | 0.147411i | \(-0.952906\pi\) |
0.817712 | − | 0.575627i | \(-0.195242\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −529.303 | + | 265.826i | −0.926976 | + | 0.465545i | −0.847204 | − | 0.531268i | \(-0.821716\pi\) |
−0.0797722 | + | 0.996813i | \(0.525419\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −96.3619 | − | 481.681i | −0.168171 | − | 0.840629i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 197.459 | + | 235.322i | 0.343407 | + | 0.409256i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −357.205 | − | 299.730i | −0.619073 | − | 0.519464i | 0.278439 | − | 0.960454i | \(-0.410183\pi\) |
−0.897512 | + | 0.440990i | \(0.854627\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 498.862 | + | 353.917i | 0.861592 | + | 0.611256i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 327.318 | + | 308.809i | 0.563371 | + | 0.531513i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −32.7711 | + | 44.0192i | −0.0562111 | + | 0.0755046i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −57.3203 | + | 303.139i | −0.0979833 | + | 0.518187i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 303.014 | − | 603.350i | 0.516207 | − | 1.02785i | −0.472963 | − | 0.881082i | \(-0.656816\pi\) |
0.989170 | − | 0.146771i | \(-0.0468881\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −641.847 | + | 75.0211i | −1.08972 | + | 0.127370i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −402.921 | − | 516.095i | −0.681761 | − | 0.873257i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 433.568 | − | 250.320i | 0.731143 | − | 0.422126i | −0.0876972 | − | 0.996147i | \(-0.527951\pi\) |
0.818840 | + | 0.574022i | \(0.194617\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −85.6763 | + | 148.396i | −0.143994 | + | 0.249405i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 15.2996 | − | 71.8530i | 0.0256275 | − | 0.120357i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −423.586 | − | 182.717i | −0.707155 | − | 0.305037i | 0.0119594 | − | 0.999928i | \(-0.496193\pi\) |
−0.719115 | + | 0.694892i | \(0.755452\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 18.6918 | + | 320.925i | 0.0311011 | + | 0.533986i | 0.977493 | + | 0.210966i | \(0.0676610\pi\) |
−0.946392 | + | 0.323020i | \(0.895302\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 530.048 | + | 165.845i | 0.879018 | + | 0.275034i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −260.357 | + | 112.307i | −0.430342 | + | 0.185631i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −667.684 | − | 158.244i | −1.09997 | − | 0.260699i | −0.359743 | − | 0.933052i | \(-0.617136\pi\) |
−0.740231 | + | 0.672353i | \(0.765284\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −301.108 | − | 304.850i | −0.494431 | − | 0.500575i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −194.457 | − | 534.266i | −0.318260 | − | 0.874412i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 782.910 | + | 284.956i | 1.27718 | + | 0.464855i | 0.889498 | − | 0.456940i | \(-0.151054\pi\) |
0.387680 | + | 0.921794i | \(0.373277\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −575.999 | − | 88.0077i | −0.936584 | − | 0.143102i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −818.763 | − | 47.6875i | −1.32701 | − | 0.0772893i | −0.620059 | − | 0.784555i | \(-0.712891\pi\) |
−0.706947 | + | 0.707266i | \(0.749928\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −692.819 | − | 734.346i | −1.11926 | − | 1.18634i | −0.980604 | − | 0.196001i | \(-0.937205\pi\) |
−0.138652 | − | 0.990341i | \(-0.544277\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 348.441 | − | 424.279i | 0.561097 | − | 0.683220i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −127.280 | − | 38.1053i | −0.204303 | − | 0.0611642i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.9522 | + | 10.4919i | 0.0255234 | + | 0.0167870i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 256.304 | − | 468.399i | 0.408778 | − | 0.747048i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 534.329 | − | 94.2167i | 0.849490 | − | 0.149788i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −169.114 | + | 959.095i | −0.268010 | + | 1.51996i | 0.492314 | + | 0.870417i | \(0.336151\pi\) |
−0.760324 | + | 0.649543i | \(0.774960\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 317.022 | + | 458.757i | 0.500824 | + | 0.724735i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −4.34725 | + | 1.30148i | −0.00684607 | + | 0.00204958i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −201.196 | − | 23.5164i | −0.315849 | − | 0.0369175i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 831.897 | + | 208.046i | 1.30187 | + | 0.325581i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −89.4910 | − | 136.064i | −0.139612 | − | 0.212269i | 0.758913 | − | 0.651192i | \(-0.225731\pi\) |
−0.898525 | + | 0.438923i | \(0.855360\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 142.884 | + | 191.926i | 0.222214 | + | 0.298486i | 0.899224 | − | 0.437488i | \(-0.144132\pi\) |
−0.677010 | + | 0.735974i | \(0.736725\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −179.338 | + | 95.2734i | −0.278043 | + | 0.147711i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | − | 848.415i | − | 1.31131i | −0.755062 | − | 0.655653i | \(-0.772393\pi\) | ||
0.755062 | − | 0.655653i | \(-0.227607\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −432.519 | −0.666440 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −333.444 | − | 11.7633i | −0.512203 | − | 0.0180696i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 627.301 | − | 467.008i | 0.960645 | − | 0.715174i | 0.00206526 | − | 0.999998i | \(-0.499343\pi\) |
0.958580 | + | 0.284824i | \(0.0919352\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 519.293 | − | 341.544i | 0.792814 | − | 0.521442i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 500.939 | + | 223.461i | 0.762464 | + | 0.340123i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7.45433 | − | 63.7759i | 0.0113116 | − | 0.0967768i | −0.986403 | − | 0.164343i | \(-0.947449\pi\) |
0.997715 | + | 0.0675667i | \(0.0215235\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 281.575 | + | 940.527i | 0.425984 | + | 1.42289i | 0.854547 | + | 0.519373i | \(0.173835\pi\) |
−0.428564 | + | 0.903512i | \(0.640980\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 291.879 | + | 138.306i | 0.440239 | + | 0.208606i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −547.374 | − | 96.5168i | −0.823119 | − | 0.145138i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −91.4486 | − | 518.631i | −0.137104 | − | 0.777557i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −200.745 | + | 122.117i | −0.300067 | + | 0.182536i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 66.9366 | − | 101.772i | 0.0997565 | − | 0.151672i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −329.538 | + | 1100.73i | −0.489655 | + | 1.63556i | 0.254150 | + | 0.967165i | \(0.418204\pi\) |
−0.743805 | + | 0.668396i | \(0.766981\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −157.593 | + | 376.221i | −0.233471 | + | 0.557364i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −637.451 | + | 601.404i | −0.941582 | + | 0.888337i | −0.993899 | − | 0.110293i | \(-0.964821\pi\) |
0.0523167 | + | 0.998631i | \(0.483339\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 49.0984 | − | 842.987i | 0.0723099 | − | 1.24151i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 943.875 | − | 368.246i | 1.38601 | − | 0.540743i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 253.615 | − | 696.803i | 0.371326 | − | 1.02021i | −0.603524 | − | 0.797345i | \(-0.706237\pi\) |
0.974850 | − | 0.222864i | \(-0.0715406\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 247.495 | − | 90.0809i | 0.361307 | − | 0.131505i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 171.208 | + | 655.112i | 0.249211 | + | 0.953583i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 24.8330 | − | 104.779i | 0.0360421 | − | 0.152074i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 50.9074 | + | 118.017i | 0.0736721 | + | 0.170791i | 0.951073 | − | 0.308968i | \(-0.0999835\pi\) |
−0.877400 | + | 0.479759i | \(0.840724\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 167.343 | − | 219.080i | 0.241476 | − | 0.316132i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 377.927 | − | 22.0117i | 0.543779 | − | 0.0316715i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −241.620 | + | 560.137i | −0.346656 | + | 0.803640i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −254.073 | − | 782.906i | −0.363480 | − | 1.12004i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 703.734 | + | 406.301i | 1.00390 | + | 0.579602i | 0.909400 | − | 0.415923i | \(-0.136541\pi\) |
0.0944999 | + | 0.995525i | \(0.469875\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 879.973 | + | 1524.16i | 1.25174 | + | 2.16808i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 68.3337 | + | 487.482i | 0.0969272 | + | 0.691464i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 17.0135 | + | 145.560i | 0.0240643 | + | 0.205883i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1156.65 | − | 580.892i | −1.63138 | − | 0.819312i | −0.999002 | − | 0.0446555i | \(-0.985781\pi\) |
−0.632382 | − | 0.774657i | \(-0.717923\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −60.4587 | − | 73.8860i | −0.0850333 | − | 0.103918i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −328.931 | − | 244.880i | −0.461334 | − | 0.343450i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −130.658 | + | 138.489i | −0.182738 | + | 0.193691i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −946.736 | − | 88.7225i | −1.32041 | − | 0.123741i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 455.595 | − | 542.957i | 0.633651 | − | 0.755156i | −0.349702 | − | 0.936861i | \(-0.613717\pi\) |
0.983353 | + | 0.181705i | \(0.0581615\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −75.8195 | + | 63.6201i | −0.105159 | + | 0.0882387i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 300.674 | − | 888.960i | 0.415869 | − | 1.22954i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 175.597 | + | 349.642i | 0.242203 | + | 0.482265i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −648.169 | + | 153.619i | −0.891567 | + | 0.211305i | −0.650774 | − | 0.759271i | \(-0.725556\pi\) |
−0.240793 | + | 0.970577i | \(0.577407\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 712.743 | + | 153.094i | 0.977700 | + | 0.210006i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 49.0298 | + | 206.873i | 0.0670722 | + | 0.283000i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1011.41 | − | 507.947i | 1.37982 | − | 0.692970i | 0.404657 | − | 0.914469i | \(-0.367391\pi\) |
0.975161 | + | 0.221498i | \(0.0710947\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 166.134 | + | 56.1915i | 0.226032 | + | 0.0764511i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 220.319 | + | 262.565i | 0.298940 | + | 0.356262i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −496.654 | − | 416.742i | −0.672062 | − | 0.563927i | 0.241613 | − | 0.970373i | \(-0.422324\pi\) |
−0.913675 | + | 0.406446i | \(0.866768\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −97.7542 | + | 1043.11i | −0.131922 | + | 1.40771i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 403.392 | + | 380.581i | 0.542923 | + | 0.512222i | 0.908121 | − | 0.418709i | \(-0.137517\pi\) |
−0.365198 | + | 0.930930i | \(0.618999\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.39446 | − | 11.2757i | 0.0112677 | − | 0.0151352i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −568.356 | + | 465.069i | −0.760851 | + | 0.622582i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −71.4674 | + | 142.303i | −0.0954172 | + | 0.189991i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1354.64 | + | 158.335i | −1.80378 | + | 0.210832i | −0.950523 | − | 0.310654i | \(-0.899452\pi\) |
−0.853260 | + | 0.521486i | \(0.825378\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −245.083 | + | 34.3550i | −0.325476 | + | 0.0456242i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −19.3403 | + | 11.1661i | −0.0256163 | + | 0.0147896i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 428.638 | − | 742.423i | 0.566233 | − | 0.980744i | −0.430701 | − | 0.902495i | \(-0.641734\pi\) |
0.996934 | − | 0.0782493i | \(-0.0249330\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 322.280 | − | 104.588i | 0.424611 | − | 0.137797i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −380.819 | − | 164.269i | −0.500419 | − | 0.215860i | 0.130882 | − | 0.991398i | \(-0.458219\pi\) |
−0.631300 | + | 0.775538i | \(0.717478\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −42.6925 | − | 733.002i | −0.0559535 | − | 0.960684i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −222.227 | − | 169.747i | −0.290493 | − | 0.221891i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 779.273 | − | 336.145i | 1.01600 | − | 0.438260i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1238.77 | + | 293.593i | 1.61088 | + | 0.381786i | 0.934837 | − | 0.355076i | \(-0.115545\pi\) |
0.676043 | + | 0.736862i | \(0.263693\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −59.7092 | + | 15.6045i | −0.0774438 | + | 0.0202393i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 232.607 | + | 639.083i | 0.300915 | + | 0.826757i | 0.994342 | + | 0.106230i | \(0.0338779\pi\) |
−0.693427 | + | 0.720527i | \(0.743900\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 286.291 | + | 104.201i | 0.369408 | + | 0.134453i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 330.272 | + | 846.542i | 0.425061 | + | 1.08950i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −1975.40 | − | 115.054i | −2.53582 | − | 0.147695i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 363.167 | + | 384.935i | 0.465003 | + | 0.492875i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 556.458 | − | 423.478i | 0.710675 | − | 0.540840i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 240.196 | + | 71.9099i | 0.305982 | + | 0.0916050i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −165.957 | − | 109.152i | −0.210873 | − | 0.138693i | 0.439679 | − | 0.898155i | \(-0.355092\pi\) |
−0.650552 | + | 0.759462i | \(0.725462\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 421.921 | + | 693.587i | 0.534754 | + | 0.879071i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −609.098 | + | 107.400i | −0.770036 | + | 0.135778i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −41.5048 | + | 235.385i | −0.0523389 | + | 0.296829i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −39.9214 | + | 84.2496i | −0.0502156 | + | 0.105974i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −770.102 | + | 230.554i | −0.966251 | + | 0.289277i | −0.730786 | − | 0.682606i | \(-0.760846\pi\) |
−0.235465 | + | 0.971883i | \(0.575661\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 511.863 | + | 59.8282i | 0.640630 | + | 0.0748789i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 88.3322 | − | 198.017i | 0.110277 | − | 0.247212i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 186.018 | + | 282.827i | 0.231654 | + | 0.352212i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −210.624 | − | 282.917i | −0.261645 | − | 0.351450i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −4.42690 | + | 125.486i | −0.00548562 | + | 0.155496i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − | 916.244i | − | 1.13256i | −0.824212 | − | 0.566282i | \(-0.808381\pi\) | ||
0.824212 | − | 0.566282i | \(-0.191619\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 971.453 | 1.19785 | 0.598923 | − | 0.800807i | \(-0.295596\pi\) | ||||
0.598923 | + | 0.800807i | \(0.295596\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 449.037 | + | 845.242i | 0.552320 | + | 1.03966i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 556.852 | − | 414.561i | 0.683254 | − | 0.508664i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −576.173 | + | 378.955i | −0.705230 | + | 0.463837i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −131.238 | + | 524.772i | −0.160242 | + | 0.640748i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −64.8241 | + | 554.605i | −0.0789575 | + | 0.675524i | 0.894566 | + | 0.446936i | \(0.147485\pi\) |
−0.973523 | + | 0.228588i | \(0.926589\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 421.484 | + | 1407.85i | 0.512131 | + | 1.71064i | 0.687545 | + | 0.726142i | \(0.258688\pi\) |
−0.175414 | + | 0.984495i | \(0.556126\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −207.093 | + | 143.110i | −0.251021 | + | 0.173467i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −74.8901 | − | 13.2051i | −0.0905564 | − | 0.0159675i | 0.128186 | − | 0.991750i | \(-0.459084\pi\) |
−0.218743 | + | 0.975783i | \(0.570196\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −176.628 | − | 1001.71i | −0.213062 | − | 1.20833i | −0.884238 | − | 0.467036i | \(-0.845322\pi\) |
0.671177 | − | 0.741298i | \(-0.265789\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 576.102 | + | 315.238i | 0.693263 | + | 0.379348i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 100.895 | − | 153.403i | 0.121122 | − | 0.184158i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −266.728 | + | 890.934i | −0.319435 | + | 1.06699i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 88.8820 | − | 537.202i | 0.106191 | − | 0.641818i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 301.523 | − | 284.472i | 0.359384 | − | 0.339061i | −0.485280 | − | 0.874359i | \(-0.661282\pi\) |
0.844663 | + | 0.535298i | \(0.179801\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −9.89894 | + | 169.958i | −0.0117704 | + | 0.202091i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 187.940 | − | 1230.04i | 0.222942 | − | 1.45912i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −54.0261 | + | 148.435i | −0.0639362 | + | 0.175663i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −467.179 | + | 170.039i | −0.551569 | + | 0.200755i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −382.536 | + | 377.841i | −0.450572 | + | 0.445042i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −257.558 | + | 1086.72i | −0.302653 | + | 1.27699i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −26.0914 | − | 60.4867i | −0.0305878 | − | 0.0709106i | 0.902237 | − | 0.431240i | \(-0.141924\pi\) |
−0.932825 | + | 0.360329i | \(0.882664\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 270.862 | − | 865.687i | 0.316798 | − | 1.01250i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 379.994 | − | 22.1321i | 0.443400 | − | 0.0258251i | 0.165007 | − | 0.986292i | \(-0.447235\pi\) |
0.278393 | + | 0.960467i | \(0.410198\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −628.309 | + | 1456.58i | −0.731442 | + | 1.69567i | −0.0131678 | + | 0.999913i | \(0.504192\pi\) |
−0.718274 | + | 0.695760i | \(0.755068\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −999.258 | − | 212.772i | −1.16058 | − | 0.247122i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −1401.65 | − | 809.244i | −1.62416 | − | 0.937711i | −0.985790 | − | 0.167984i | \(-0.946274\pi\) |
−0.638373 | − | 0.769727i | \(-0.720392\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 394.766 | + | 683.754i | 0.456377 | + | 0.790467i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 452.631 | − | 353.374i | 0.522066 | − | 0.407582i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −6.84001 | − | 58.5200i | −0.00787113 | − | 0.0673418i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −601.010 | − | 301.838i | −0.690022 | − | 0.346542i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 1354.06 | + | 256.037i | 1.55104 | + | 0.293284i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 558.029 | + | 415.437i | 0.637747 | + | 0.474785i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −821.925 | + | 871.189i | −0.937201 | + | 0.993375i | −0.999989 | − | 0.00465234i | \(-0.998519\pi\) |
0.0627887 | + | 0.998027i | \(0.480001\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −458.371 | + | 646.093i | −0.521468 | + | 0.735032i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −507.356 | + | 604.643i | −0.575886 | + | 0.686314i | −0.972828 | − | 0.231529i | \(-0.925627\pi\) |
0.396942 | + | 0.917844i | \(0.370071\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 995.205 | − | 835.076i | 1.12707 | − | 0.945726i | 0.128132 | − | 0.991757i | \(-0.459102\pi\) |
0.998940 | + | 0.0460310i | \(0.0146573\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −720.503 | + | 144.139i | −0.814128 | + | 0.162869i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 338.717 | + | 674.441i | 0.381868 | + | 0.760362i | 0.999663 | − | 0.0259774i | \(-0.00826981\pi\) |
−0.617794 | + | 0.786340i | \(0.711974\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −7.74213 | + | 1.83492i | −0.00870881 | + | 0.00206403i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 319.520 | + | 316.727i | 0.358608 | + | 0.355473i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 385.506 | + | 1626.58i | 0.431698 | + | 1.82148i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −13.7859 | + | 6.92352i | −0.0154032 | + | 0.00773577i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −499.369 | + | 438.906i | −0.556711 | + | 0.489304i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −335.728 | − | 400.105i | −0.373446 | − | 0.445055i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 74.7693 | + | 62.7389i | 0.0829847 | + | 0.0696325i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −323.626 | + | 148.484i | −0.358390 | + | 0.164434i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 399.217 | + | 376.642i | 0.441124 | + | 0.416179i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 832.737 | − | 1118.56i | 0.918123 | − | 1.23325i | −0.0539428 | − | 0.998544i | \(-0.517179\pi\) |
0.972066 | − | 0.234709i | \(-0.0754137\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −239.146 | − | 2.95346i | −0.263087 | − | 0.00324913i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −193.636 | + | 385.560i | −0.212553 | + | 0.423227i | −0.974492 | − | 0.224421i | \(-0.927951\pi\) |
0.761940 | + | 0.647648i | \(0.224247\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −450.156 | + | 52.6157i | −0.493051 | + | 0.0576294i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 77.5889 | − | 191.842i | 0.0847966 | − | 0.209663i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 943.792 | − | 544.899i | 1.02922 | − | 0.594219i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −415.806 | + | 720.197i | −0.452455 | + | 0.783675i | −0.998538 | − | 0.0540560i | \(-0.982785\pi\) |
0.546083 | + | 0.837731i | \(0.316118\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 62.1325 | + | 55.9846i | 0.0674620 | + | 0.0607867i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −953.484 | − | 411.293i | −1.03303 | − | 0.445605i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −48.2453 | − | 828.339i | −0.0521570 | − | 0.895502i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −87.0854 | − | 136.037i | −0.0939433 | − | 0.146750i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 167.184 | − | 72.1160i | 0.179961 | − | 0.0776276i | −0.304193 | − | 0.952610i | \(-0.598387\pi\) |
0.484154 | + | 0.874983i | \(0.339127\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 579.522 | + | 137.349i | 0.622472 | + | 0.147529i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −301.266 | + | 1097.20i | −0.322901 | + | 1.17599i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −59.0254 | − | 162.171i | −0.0631288 | − | 0.173445i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 262.302 | + | 95.4700i | 0.279938 | + | 0.101889i | 0.478174 | − | 0.878265i | \(-0.341299\pi\) |
−0.198236 | + | 0.980154i | \(0.563521\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −978.123 | + | 1221.46i | −1.04166 | + | 1.30081i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −1303.49 | − | 75.9199i | −1.38522 | − | 0.0806800i | −0.650737 | − | 0.759304i | \(-0.725540\pi\) |
−0.734486 | + | 0.678624i | \(0.762577\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −861.696 | − | 913.345i | −0.913782 | − | 0.968552i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 205.755 | − | 420.717i | 0.217731 | − | 0.445203i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −404.784 | − | 121.184i | −0.427438 | − | 0.127967i | 0.0658561 | − | 0.997829i | \(-0.479022\pi\) |
−0.493294 | + | 0.869863i | \(0.664207\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −554.956 | − | 365.001i | −0.584780 | − | 0.384616i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −112.822 | + | 2.58568i | −0.118635 | + | 0.00271890i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 1428.30 | − | 251.849i | 1.49875 | − | 0.264269i | 0.636705 | − | 0.771108i | \(-0.280297\pi\) |
0.862041 | + | 0.506839i | \(0.169186\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 89.4312 | − | 507.190i | 0.0936453 | − | 0.531089i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 430.133 | − | 34.9569i | 0.449460 | − | 0.0365276i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 442.400 | − | 132.446i | 0.461314 | − | 0.138108i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 550.550 | + | 64.3500i | 0.572893 | + | 0.0669615i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −215.343 | − | 145.474i | −0.223617 | − | 0.151064i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 352.387 | + | 535.778i | 0.365167 | + | 0.555210i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −619.823 | − | 832.566i | −0.640975 | − | 0.860978i | 0.356329 | − | 0.934360i | \(-0.384028\pi\) |
−0.997304 | + | 0.0733820i | \(0.976621\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −805.160 | − | 503.519i | −0.830918 | − | 0.519628i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 47.9636i | 0.0493961i | 0.999695 | + | 0.0246981i | \(0.00786244\pi\) | ||||
−0.999695 | + | 0.0246981i | \(0.992138\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 663.768 | 0.682187 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 261.897 | − | 418.791i | 0.268613 | − | 0.429529i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 445.166 | − | 331.414i | 0.455646 | − | 0.339216i | −0.344743 | − | 0.938697i | \(-0.612034\pi\) |
0.800389 | + | 0.599481i | \(0.204626\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 111.799 | − | 73.5313i | 0.114197 | − | 0.0751086i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1195.28 | + | 84.4394i | 1.21843 | + | 0.0860749i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 136.386 | − | 1166.86i | 0.138745 | − | 1.18704i | −0.727030 | − | 0.686606i | \(-0.759100\pi\) |
0.865775 | − | 0.500434i | \(-0.166826\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −196.879 | − | 657.621i | −0.199877 | − | 0.667635i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 69.9130 | + | 860.256i | 0.0708339 | + | 0.871587i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −430.973 | − | 75.9921i | −0.435766 | − | 0.0768373i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −15.0065 | − | 85.1062i | −0.0151428 | − | 0.0858791i | 0.976300 | − | 0.216423i | \(-0.0694389\pi\) |
−0.991443 | + | 0.130543i | \(0.958328\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −4.61127 | − | 201.206i | −0.00464378 | − | 0.202625i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 42.3240 | − | 64.3505i | 0.0425367 | − | 0.0646739i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 386.187 | − | 1289.95i | 0.387349 | − | 1.29384i | −0.512895 | − | 0.858451i | \(-0.671427\pi\) |
0.900244 | − | 0.435385i | \(-0.143388\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1439.27 | + | 357.215i | −1.44071 | + | 0.357572i |
(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.o.a.5.6 | ✓ | 324 | |
81.65 | odd | 54 | inner | 324.3.o.a.65.6 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
324.3.o.a.5.6 | ✓ | 324 | 1.1 | even | 1 | trivial | |
324.3.o.a.65.6 | yes | 324 | 81.65 | odd | 54 | inner |