Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,2,Mod(47,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.be (of order \(18\), degree \(6\), 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: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 95.5 | ||
Character | \(\chi\) | \(=\) | 432.95 |
Dual form | 432.2.be.c.191.5 |
$q$-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 \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{17}{18}\right)\) |
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 | ||||||||
\(3\) | 1.19574 | + | 1.25308i | 0.690361 | + | 0.723465i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.311559 | − | 0.371302i | 0.139334 | − | 0.166051i | −0.691865 | − | 0.722027i | \(-0.743211\pi\) |
0.831199 | + | 0.555975i | \(0.187655\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.958275 | − | 2.63284i | 0.362194 | − | 0.995120i | −0.616058 | − | 0.787701i | \(-0.711271\pi\) |
0.978252 | − | 0.207419i | \(-0.0665064\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.140409 | + | 2.99671i | −0.0468031 | + | 0.998904i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.24267 | − | 3.56003i | 1.27921 | − | 1.07339i | 0.285863 | − | 0.958271i | \(-0.407720\pi\) |
0.993352 | − | 0.115118i | \(-0.0367245\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.0238977 | + | 0.135530i | −0.00662802 | + | 0.0375894i | −0.987942 | − | 0.154822i | \(-0.950520\pi\) |
0.981314 | + | 0.192411i | \(0.0616307\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.837815 | − | 0.0535726i | 0.216323 | − | 0.0138324i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.57989 | + | 2.06685i | 0.868251 | + | 0.501285i | 0.866767 | − | 0.498714i | \(-0.166194\pi\) |
0.00148444 | + | 0.999999i | \(0.499527\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.52888 | + | 2.61475i | −1.03900 | + | 0.599864i | −0.919549 | − | 0.392976i | \(-0.871445\pi\) |
−0.119447 | + | 0.992841i | \(0.538112\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.44500 | − | 1.94740i | 0.969979 | − | 0.424957i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.38028 | − | 0.866350i | 0.496322 | − | 0.180646i | −0.0817170 | − | 0.996656i | \(-0.526040\pi\) |
0.578039 | + | 0.816009i | \(0.303818\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.827445 | + | 4.69267i | 0.165489 | + | 0.938535i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.92301 | + | 3.40735i | −0.754983 | + | 0.655744i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.79825 | + | 0.493407i | −0.519622 | + | 0.0916234i | −0.427307 | − | 0.904107i | \(-0.640538\pi\) |
−0.0923147 | + | 0.995730i | \(0.529427\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.14487 | − | 5.89298i | −0.385230 | − | 1.05841i | −0.969123 | − | 0.246580i | \(-0.920693\pi\) |
0.583893 | − | 0.811831i | \(-0.301529\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 9.53413 | + | 1.05953i | 1.65968 | + | 0.184441i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.679019 | − | 1.17610i | −0.114775 | − | 0.198796i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.89845 | + | 8.48436i | −0.805300 | + | 1.39482i | 0.110788 | + | 0.993844i | \(0.464663\pi\) |
−0.916088 | + | 0.400977i | \(0.868671\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.198406 | + | 0.132114i | −0.0317703 | + | 0.0211551i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.97642 | − | 0.877478i | −0.777187 | − | 0.137039i | −0.229035 | − | 0.973418i | \(-0.573557\pi\) |
−0.548152 | + | 0.836379i | \(0.684668\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.705455 | − | 0.840729i | −0.107581 | − | 0.128210i | 0.709567 | − | 0.704638i | \(-0.248891\pi\) |
−0.817148 | + | 0.576428i | \(0.804446\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.06894 | + | 0.985788i | 0.159348 | + | 0.146953i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.84430 | + | 0.671271i | 0.269019 | + | 0.0979149i | 0.473008 | − | 0.881058i | \(-0.343168\pi\) |
−0.203989 | + | 0.978973i | \(0.565391\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.651243 | − | 0.546458i | −0.0930347 | − | 0.0780654i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.69069 | + | 6.95730i | 0.236745 | + | 0.974217i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 10.9889i | − | 1.50944i | −0.656048 | − | 0.754719i | \(-0.727773\pi\) | ||
0.656048 | − | 0.754719i | \(-0.272227\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 2.68447i | − | 0.361974i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −8.69184 | − | 2.54848i | −1.15126 | − | 0.337554i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.92231 | + | 3.29121i | 0.510642 | + | 0.428479i | 0.861355 | − | 0.508004i | \(-0.169616\pi\) |
−0.350713 | + | 0.936483i | \(0.614061\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.00653 | + | 1.82223i | 0.641020 | + | 0.233312i | 0.642021 | − | 0.766687i | \(-0.278096\pi\) |
−0.00100063 | + | 0.999999i | \(0.500319\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 7.75531 | + | 3.24135i | 0.977078 | + | 0.408372i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.0428772 | + | 0.0510990i | 0.00531826 | + | 0.00633805i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −11.6299 | − | 2.05066i | −1.42082 | − | 0.250528i | −0.590148 | − | 0.807295i | \(-0.700931\pi\) |
−0.830669 | + | 0.556767i | \(0.812042\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.93180 | + | 1.94674i | 0.473333 | + | 0.234360i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.77969 | − | 13.4748i | 0.923279 | − | 1.59917i | 0.128973 | − | 0.991648i | \(-0.458832\pi\) |
0.794306 | − | 0.607518i | \(-0.207835\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.66989 | − | 11.5526i | −0.780651 | − | 1.35213i | −0.931563 | − | 0.363580i | \(-0.881554\pi\) |
0.150912 | − | 0.988547i | \(-0.451779\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −4.89088 | + | 6.64807i | −0.564750 | + | 0.767653i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −5.30733 | − | 14.5818i | −0.604826 | − | 1.66175i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.12271 | + | 0.374291i | −0.238824 | + | 0.0421111i | −0.291779 | − | 0.956486i | \(-0.594247\pi\) |
0.0529551 | + | 0.998597i | \(0.483136\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.96057 | − | 0.841533i | −0.995619 | − | 0.0935036i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.26197 | + | 7.15699i | 0.138519 | + | 0.785582i | 0.972344 | + | 0.233553i | \(0.0750351\pi\) |
−0.833825 | + | 0.552029i | \(0.813854\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.88278 | − | 0.685274i | 0.204216 | − | 0.0743284i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.96426 | − | 2.91644i | −0.425013 | − | 0.312675i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.58936 | − | 1.49497i | 0.274471 | − | 0.158466i | −0.356447 | − | 0.934316i | \(-0.616012\pi\) |
0.630918 | + | 0.775850i | \(0.282679\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.333929 | + | 0.192794i | 0.0350053 | + | 0.0202103i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 4.81966 | − | 9.73416i | 0.499775 | − | 1.00939i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.440153 | + | 2.49623i | −0.0451587 | + | 0.256108i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.42409 | + | 3.71225i | −0.449198 | + | 0.376922i | −0.839138 | − | 0.543918i | \(-0.816940\pi\) |
0.389940 | + | 0.920840i | \(0.372496\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 10.0727 | + | 13.2139i | 1.01234 | + | 1.32805i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.13983 | + | 16.8690i | −0.610936 | + | 1.67853i | 0.117208 | + | 0.993107i | \(0.462606\pi\) |
−0.728143 | + | 0.685425i | \(0.759616\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.00094 | + | 7.15164i | −0.591290 | + | 0.704672i | −0.975853 | − | 0.218427i | \(-0.929907\pi\) |
0.384564 | + | 0.923098i | \(0.374352\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.661809 | − | 2.25717i | 0.0645860 | − | 0.220277i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.52898 | −0.341159 | −0.170580 | − | 0.985344i | \(-0.554564\pi\) | ||||
−0.170580 | + | 0.985344i | \(0.554564\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −16.2622 | −1.55763 | −0.778817 | − | 0.627251i | \(-0.784180\pi\) | ||||
−0.778817 | + | 0.627251i | \(0.784180\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −16.4888 | + | 4.00696i | −1.56505 | + | 0.380324i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.05734 | + | 1.26008i | −0.0994658 | + | 0.118539i | −0.813481 | − | 0.581591i | \(-0.802430\pi\) |
0.714015 | + | 0.700130i | \(0.246875\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.419920 | − | 1.15372i | 0.0391578 | − | 0.107585i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.402790 | − | 0.0906441i | −0.0372380 | − | 0.00838005i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 8.87221 | − | 7.44467i | 0.813314 | − | 0.682452i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.41637 | − | 19.3752i | 0.310579 | − | 1.76138i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.85096 | − | 7.28508i | −0.437397 | − | 0.656874i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.09901 | + | 2.36657i | 0.366627 | + | 0.211672i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.57358 | − | 0.908504i | 0.139632 | − | 0.0806167i | −0.428556 | − | 0.903515i | \(-0.640978\pi\) |
0.568189 | + | 0.822898i | \(0.307644\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.209957 | − | 1.88928i | 0.0184857 | − | 0.166342i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −9.98407 | + | 3.63390i | −0.872312 | + | 0.317496i | −0.739103 | − | 0.673592i | \(-0.764750\pi\) |
−0.133209 | + | 0.991088i | \(0.542528\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.54430 | + | 14.4295i | 0.220619 | + | 1.25119i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.0429048 | + | 2.51821i | 0.00369266 | + | 0.216733i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 13.0939 | − | 2.30880i | 1.11869 | − | 0.197254i | 0.416422 | − | 0.909172i | \(-0.363284\pi\) |
0.702264 | + | 0.711917i | \(0.252173\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.765089 | − | 2.10206i | −0.0648940 | − | 0.178295i | 0.903007 | − | 0.429625i | \(-0.141354\pi\) |
−0.967901 | + | 0.251330i | \(0.919132\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.36415 | + | 3.11372i | 0.114882 | + | 0.262222i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.381102 | + | 0.660087i | 0.0318693 | + | 0.0551993i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.688618 | + | 1.19272i | −0.0571866 | + | 0.0990501i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.0939634 | − | 1.46948i | −0.00774997 | − | 0.121201i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −19.1606 | − | 3.37854i | −1.56970 | − | 0.276781i | −0.679961 | − | 0.733248i | \(-0.738003\pi\) |
−0.889740 | + | 0.456467i | \(0.849115\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.86697 | − | 8.18374i | −0.558826 | − | 0.665983i | 0.410471 | − | 0.911874i | \(-0.365364\pi\) |
−0.969298 | + | 0.245890i | \(0.920920\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −6.69641 | + | 10.4377i | −0.541373 | + | 0.843838i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.85633 | − | 1.03962i | −0.229426 | − | 0.0835042i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.0645257 | + | 0.0541435i | 0.00514971 | + | 0.00432112i | 0.645359 | − | 0.763880i | \(-0.276708\pi\) |
−0.640209 | + | 0.768201i | \(0.721152\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 13.7699 | − | 13.1398i | 1.09203 | − | 1.04206i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 7.09709i | − | 0.559329i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 16.6345i | 1.30291i | 0.758685 | + | 0.651457i | \(0.225842\pi\) | ||||
−0.758685 | + | 0.651457i | \(0.774158\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 3.36386 | − | 3.20993i | 0.261876 | − | 0.249893i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −13.5617 | − | 11.3796i | −1.04944 | − | 0.880582i | −0.0564029 | − | 0.998408i | \(-0.517963\pi\) |
−0.993034 | + | 0.117826i | \(0.962408\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.1982 | + | 4.43978i | 0.938324 | + | 0.341522i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −7.19975 | − | 13.9389i | −0.550579 | − | 1.06593i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.34385 | − | 2.79329i | −0.178199 | − | 0.212370i | 0.669550 | − | 0.742767i | \(-0.266487\pi\) |
−0.847749 | + | 0.530397i | \(0.822043\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 13.1480 | + | 2.31834i | 0.993894 | + | 0.175250i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.565924 | + | 8.85040i | 0.0425375 | + | 0.665237i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −4.74075 | + | 8.21121i | −0.354340 | + | 0.613735i | −0.987005 | − | 0.160691i | \(-0.948628\pi\) |
0.632665 | + | 0.774426i | \(0.281961\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.69038 | + | 15.0522i | 0.645951 | + | 1.11882i | 0.984081 | + | 0.177720i | \(0.0568722\pi\) |
−0.338130 | + | 0.941099i | \(0.609794\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.70311 | + | 8.45248i | 0.273742 | + | 0.624825i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.62410 | + | 4.46219i | 0.119407 | + | 0.328067i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 22.5464 | − | 3.97553i | 1.64875 | − | 0.290720i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 5.21168 | + | 13.5938i | 0.379094 | + | 0.988805i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 4.13148 | + | 23.4308i | 0.298944 | + | 1.69539i | 0.650727 | + | 0.759312i | \(0.274464\pi\) |
−0.351783 | + | 0.936082i | \(0.614425\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 21.7760 | − | 7.92582i | 1.56747 | − | 0.570513i | 0.595038 | − | 0.803697i | \(-0.297137\pi\) |
0.972433 | + | 0.233184i | \(0.0749146\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.0127611 | + | 0.114830i | −0.000913841 | + | 0.00822312i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 18.8331 | − | 10.8733i | 1.34181 | − | 0.774692i | 0.354734 | − | 0.934967i | \(-0.384572\pi\) |
0.987072 | + | 0.160275i | \(0.0512383\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.64708 | + | 3.26035i | 0.400311 | + | 0.231120i | 0.686618 | − | 0.727018i | \(-0.259094\pi\) |
−0.286307 | + | 0.958138i | \(0.592428\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −11.3367 | − | 17.0252i | −0.799628 | − | 1.20087i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −1.38243 | + | 7.84016i | −0.0970277 | + | 0.550272i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.87626 | + | 1.57437i | −0.131044 | + | 0.109959i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 2.26199 | + | 7.25465i | 0.157219 | + | 0.504233i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −9.90598 | + | 27.2164i | −0.685211 | + | 1.88260i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.18391 | − | 10.9450i | 0.632246 | − | 0.753482i | −0.350878 | − | 0.936421i | \(-0.614117\pi\) |
0.983124 | + | 0.182940i | \(0.0585613\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 26.1875 | − | 6.36382i | 1.79434 | − | 0.436042i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.531956 | −0.0362791 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −17.5706 | −1.19277 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 6.50083 | − | 22.1718i | 0.439286 | − | 1.49823i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.365672 | + | 0.435791i | −0.0245978 | + | 0.0293145i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.60102 | − | 4.39878i | 0.107212 | − | 0.294564i | −0.874473 | − | 0.485075i | \(-0.838792\pi\) |
0.981685 | + | 0.190511i | \(0.0610145\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −14.1788 | + | 1.82072i | −0.945252 | + | 0.121381i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 19.4156 | − | 16.2916i | 1.28866 | − | 1.08131i | 0.296668 | − | 0.954981i | \(-0.404125\pi\) |
0.991988 | − | 0.126330i | \(-0.0403199\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.18634 | − | 6.72808i | 0.0783956 | − | 0.444604i | −0.920192 | − | 0.391468i | \(-0.871967\pi\) |
0.998587 | − | 0.0531356i | \(-0.0169216\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 11.9259 | − | 24.0865i | 0.784667 | − | 1.58478i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 21.9589 | + | 12.6780i | 1.43858 | + | 0.830563i | 0.997751 | − | 0.0670288i | \(-0.0213519\pi\) |
0.440827 | + | 0.897592i | \(0.354685\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.823854 | − | 0.475652i | 0.0537423 | − | 0.0310281i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −3.00723 | − | 2.21237i | −0.195340 | − | 0.143709i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −8.57291 | + | 3.12029i | −0.554536 | + | 0.201834i | −0.604061 | − | 0.796938i | \(-0.706452\pi\) |
0.0495249 | + | 0.998773i | \(0.484229\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.09202 | − | 6.19316i | −0.0703432 | − | 0.398936i | −0.999567 | − | 0.0294192i | \(-0.990634\pi\) |
0.929224 | − | 0.369517i | \(-0.120477\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −9.66001 | − | 12.2345i | −0.619690 | − | 0.784847i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.405802 | + | 0.0715538i | −0.0259257 | + | 0.00457141i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.246148 | − | 0.676287i | −0.0156620 | − | 0.0430311i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −7.45928 | + | 10.1393i | −0.472713 | + | 0.642549i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −11.4386 | − | 19.8122i | −0.721997 | − | 1.25053i | −0.960198 | − | 0.279319i | \(-0.909891\pi\) |
0.238202 | − | 0.971216i | \(-0.423442\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.01451 | − | 12.1495i | 0.440999 | − | 0.763832i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 3.11001 | + | 1.53985i | 0.194757 | + | 0.0964294i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 12.9323 | + | 2.28031i | 0.806695 | + | 0.142242i | 0.561763 | − | 0.827298i | \(-0.310123\pi\) |
0.244932 | + | 0.969540i | \(0.421234\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 17.6439 | + | 21.0272i | 1.09634 | + | 1.30657i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.08570 | − | 8.45483i | −0.0672030 | − | 0.523341i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −21.3619 | − | 7.77508i | −1.31723 | − | 0.479432i | −0.414660 | − | 0.909977i | \(-0.636099\pi\) |
−0.902569 | + | 0.430544i | \(0.858322\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.08019 | − | 3.42369i | −0.250644 | − | 0.210315i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 4.96950 | + | 1.45707i | 0.304129 | + | 0.0891715i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 26.0160i | 1.58622i | 0.609076 | + | 0.793112i | \(0.291540\pi\) | ||||
−0.609076 | + | 0.793112i | \(0.708460\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 16.0014i | 0.972014i | 0.873955 | + | 0.486007i | \(0.161547\pi\) | ||||
−0.873955 | + | 0.486007i | \(0.838453\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.157707 | + | 0.648971i | 0.00954484 | + | 0.0392775i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 20.2166 | + | 16.9638i | 1.21911 | + | 1.02295i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.66285 | + | 2.42508i | 0.400332 | + | 0.145709i | 0.534336 | − | 0.845272i | \(-0.320562\pi\) |
−0.134005 | + | 0.990981i | \(0.542784\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 17.9607 | − | 5.60013i | 1.07528 | − | 0.335271i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 15.0752 | + | 17.9660i | 0.899313 | + | 1.07176i | 0.997066 | + | 0.0765484i | \(0.0243900\pi\) |
−0.0977532 | + | 0.995211i | \(0.531166\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −17.6229 | − | 3.10739i | −1.04757 | − | 0.184715i | −0.376736 | − | 0.926321i | \(-0.622954\pi\) |
−0.670836 | + | 0.741605i | \(0.734065\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −3.65428 | + | 2.43330i | −0.216461 | + | 0.144136i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −7.07904 | + | 12.2613i | −0.417863 | + | 0.723759i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.0437466 | + | 0.0757713i | 0.00257333 | + | 0.00445714i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −9.94180 | − | 1.10484i | −0.582799 | − | 0.0647668i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2.24365 | − | 6.16437i | −0.131075 | − | 0.360126i | 0.856742 | − | 0.515745i | \(-0.172485\pi\) |
−0.987817 | + | 0.155619i | \(0.950263\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.44407 | − | 0.430955i | 0.142299 | − | 0.0250912i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −4.51380 | + | 28.4223i | −0.261917 | + | 1.64923i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.0605337 | + | 0.343304i | 0.00350075 | + | 0.0198538i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.88952 | + | 1.05170i | −0.166549 | + | 0.0606190i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −28.4799 | + | 12.4773i | −1.63613 | + | 0.716803i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 2.23643 | − | 1.29120i | 0.128057 | − | 0.0739340i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.82349 | + | 3.36219i | 0.332364 | + | 0.191891i | 0.656890 | − | 0.753986i | \(-0.271871\pi\) |
−0.324526 | + | 0.945877i | \(0.605205\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −16.1371 | + | 1.03186i | −0.918009 | + | 0.0587005i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.81319 | + | 21.6257i | −0.216226 | + | 1.22628i | 0.662540 | + | 0.749027i | \(0.269479\pi\) |
−0.878766 | + | 0.477253i | \(0.841633\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 20.0381 | − | 16.8140i | 1.13262 | − | 0.950384i | 0.133450 | − | 0.991055i | \(-0.457394\pi\) |
0.999173 | + | 0.0406719i | \(0.0129498\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 3.61976 | − | 1.86969i | 0.203950 | − | 0.105345i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.25403 | − | 3.44541i | 0.0704333 | − | 0.193514i | −0.899481 | − | 0.436959i | \(-0.856055\pi\) |
0.969915 | + | 0.243445i | \(0.0782777\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −10.1155 | + | 12.0552i | −0.566360 | + | 0.674962i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.21974 | − | 4.42208i | −0.235523 | − | 0.246817i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −21.6172 | −1.20281 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.655774 | −0.0363758 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −19.4453 | − | 20.3778i | −1.07533 | − | 1.12689i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3.53470 | − | 4.21249i | 0.194874 | − | 0.232242i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.55568 | − | 12.5166i | 0.250403 | − | 0.687976i | −0.749267 | − | 0.662268i | \(-0.769594\pi\) |
0.999670 | − | 0.0257074i | \(-0.00818381\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −24.7374 | − | 15.8705i | −1.35560 | − | 0.869700i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −4.38482 | + | 3.67930i | −0.239568 | + | 0.201022i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.0452535 | + | 0.256645i | −0.00246512 | + | 0.0139804i | −0.986016 | − | 0.166654i | \(-0.946704\pi\) |
0.983550 | + | 0.180634i | \(0.0578149\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −2.84328 | + | 0.181809i | −0.154426 | + | 0.00987450i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −30.0791 | − | 17.3662i | −1.62888 | − | 0.940433i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 14.9223 | − | 8.61537i | 0.805726 | − | 0.465186i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 1.94782 | − | 0.853359i | 0.104867 | − | 0.0459433i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −6.22431 | + | 2.26546i | −0.334138 | + | 0.121616i | −0.503640 | − | 0.863913i | \(-0.668006\pi\) |
0.169502 | + | 0.985530i | \(0.445784\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.25911 | + | 18.4833i | 0.174456 | + | 0.989390i | 0.938770 | + | 0.344545i | \(0.111967\pi\) |
−0.764313 | + | 0.644845i | \(0.776922\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.368048 | − | 0.613114i | −0.0196450 | − | 0.0327256i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −3.70879 | + | 0.653960i | −0.197399 | + | 0.0348068i | −0.271473 | − | 0.962446i | \(-0.587511\pi\) |
0.0740743 | + | 0.997253i | \(0.476400\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.57939 | − | 7.08682i | −0.136900 | − | 0.376129i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 19.9376 | + | 2.21568i | 1.05521 | + | 0.117266i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −4.20804 | − | 7.28853i | −0.222092 | − | 0.384674i | 0.733351 | − | 0.679850i | \(-0.237955\pi\) |
−0.955443 | + | 0.295176i | \(0.904622\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.17382 | − | 7.22926i | 0.219674 | − | 0.380487i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 28.3637 | − | 18.8867i | 1.48871 | − | 0.991295i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.36756 | − | 1.12277i | −0.333294 | − | 0.0587686i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 12.4833 | + | 14.8770i | 0.651624 | + | 0.776575i | 0.986158 | − | 0.165809i | \(-0.0530234\pi\) |
−0.334534 | + | 0.942384i | \(0.608579\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 3.32829 | − | 14.7897i | 0.173264 | − | 0.769921i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −28.9319 | − | 10.5304i | −1.50207 | − | 0.546709i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.94112 | − | 4.14610i | −0.255842 | − | 0.214677i | 0.505841 | − | 0.862627i | \(-0.331182\pi\) |
−0.761683 | + | 0.647950i | \(0.775627\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.93586 | + | 7.96618i | 0.0999676 | + | 0.411372i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 0.391039i | − | 0.0201395i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.73511i | 0.243226i | 0.992578 | + | 0.121613i | \(0.0388067\pi\) | ||||
−0.992578 | + | 0.121613i | \(0.961193\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 3.02001 | + | 0.885478i | 0.154720 | + | 0.0453644i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −10.5499 | − | 8.85244i | −0.539076 | − | 0.452339i | 0.332146 | − | 0.943228i | \(-0.392227\pi\) |
−0.871222 | + | 0.490889i | \(0.836672\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7.06779 | − | 2.57247i | −0.360208 | − | 0.131105i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.61847 | − | 1.99600i | 0.133105 | − | 0.101462i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −17.4011 | − | 20.7378i | −0.882269 | − | 1.05145i | −0.998305 | − | 0.0582022i | \(-0.981463\pi\) |
0.116036 | − | 0.993245i | \(-0.462981\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 10.3117 | + | 1.81824i | 0.521488 | + | 0.0919523i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −16.4919 | − | 8.16561i | −0.831907 | − | 0.411901i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.522376 | + | 0.904781i | −0.0262836 | + | 0.0455245i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −15.3615 | − | 26.6068i | −0.770969 | − | 1.33536i | −0.937032 | − | 0.349243i | \(-0.886439\pi\) |
0.166063 | − | 0.986115i | \(-0.446894\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −15.0389 | + | 20.4421i | −0.752887 | + | 1.02338i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5.08217 | − | 13.9631i | −0.253791 | − | 0.697286i | −0.999518 | − | 0.0310345i | \(-0.990120\pi\) |
0.745727 | − | 0.666252i | \(-0.232102\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.849935 | − | 0.149867i | 0.0423383 | − | 0.00746538i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −3.10421 | + | 3.06489i | −0.154250 | + | 0.152296i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 9.42203 | + | 53.4350i | 0.467033 | + | 2.64868i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.3068 | + | 3.75137i | −0.509639 | + | 0.185493i | −0.584024 | − | 0.811736i | \(-0.698523\pi\) |
0.0743856 | + | 0.997230i | \(0.476300\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 18.5500 | + | 13.6469i | 0.915003 | + | 0.673153i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 12.4239 | − | 7.17294i | 0.611340 | − | 0.352957i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.05058 | + | 1.76126i | 0.149747 | + | 0.0864567i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1.71920 | − | 3.47224i | 0.0841897 | − | 0.170036i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 2.14941 | − | 12.1899i | 0.105006 | − | 0.595517i | −0.886212 | − | 0.463279i | \(-0.846673\pi\) |
0.991218 | − | 0.132237i | \(-0.0422161\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9.17447 | + | 7.69830i | −0.447137 | + | 0.375192i | −0.838372 | − | 0.545099i | \(-0.816492\pi\) |
0.391235 | + | 0.920291i | \(0.372048\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −2.27056 | + | 5.43259i | −0.110399 | + | 0.264141i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −6.73689 | + | 18.5095i | −0.326787 | + | 0.897841i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.59526 | − | 11.4352i | 0.464347 | − | 0.553388i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.371442 | + | 1.26684i | −0.0179334 | + | 0.0611638i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 28.5275 | 1.37412 | 0.687061 | − | 0.726600i | \(-0.258901\pi\) | ||||
0.687061 | + | 0.726600i | \(0.258901\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.35698 | 0.353554 | 0.176777 | − | 0.984251i | \(-0.443433\pi\) | ||||
0.176777 | + | 0.984251i | \(0.443433\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.31798 | + | 0.563293i | −0.111139 | + | 0.0270078i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −8.51469 | + | 10.1474i | −0.407313 | + | 0.485417i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.65771 | + | 21.0394i | −0.365483 | + | 1.00415i | 0.611576 | + | 0.791185i | \(0.290536\pi\) |
−0.977059 | + | 0.212970i | \(0.931686\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.72902 | − | 1.87486i | 0.0823341 | − | 0.0892790i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 25.0942 | − | 21.0565i | 1.19226 | − | 1.00043i | 0.192444 | − | 0.981308i | \(-0.438359\pi\) |
0.999817 | − | 0.0191179i | \(-0.00608579\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.251655 | − | 1.42720i | 0.0119296 | − | 0.0676559i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −18.6776 | − | 28.0496i | −0.883420 | − | 1.32670i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −2.44069 | − | 1.40914i | −0.115184 | − | 0.0665012i | 0.441301 | − | 0.897359i | \(-0.354517\pi\) |
−0.556485 | + | 0.830858i | \(0.687850\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −24.2372 | + | 13.9933i | −1.14128 | + | 0.658921i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 2.04375 | − | 18.3905i | 0.0960236 | − | 0.864060i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.175624 | − | 0.0639218i | 0.00823336 | − | 0.00299670i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.71792 | − | 26.7566i | −0.220695 | − | 1.25162i | −0.870746 | − | 0.491733i | \(-0.836364\pi\) |
0.650051 | − | 0.759890i | \(-0.274747\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −21.0864 | + | 4.08966i | −0.984230 | + | 0.190889i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 29.8003 | − | 5.25460i | 1.38794 | − | 0.244731i | 0.570761 | − | 0.821117i | \(-0.306648\pi\) |
0.817178 | + | 0.576386i | \(0.195537\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.8689 | + | 35.3571i | 0.598070 | + | 1.64318i | 0.755114 | + | 0.655593i | \(0.227581\pi\) |
−0.157044 | + | 0.987592i | \(0.550196\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.11271 | − | 4.82232i | −0.0979744 | − | 0.223630i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 10.9543 | + | 18.9734i | 0.506905 | + | 0.877985i | 0.999968 | + | 0.00799160i | \(0.00254383\pi\) |
−0.493063 | + | 0.869994i | \(0.664123\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −16.5437 | + | 28.6545i | −0.763917 | + | 1.32314i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.00930997 | + | 0.145597i | 0.000428981 | + | 0.00670877i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −5.98603 | − | 1.05550i | −0.275238 | − | 0.0485319i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −16.0176 | − | 19.0890i | −0.734936 | − | 0.875862i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 32.9305 | + | 1.54294i | 1.50778 | + | 0.0706464i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −20.0677 | − | 7.30403i | −0.916915 | − | 0.333730i | −0.159904 | − | 0.987133i | \(-0.551119\pi\) |
−0.757010 | + | 0.653403i | \(0.773341\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.03283 | − | 0.866645i | −0.0470929 | − | 0.0395156i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 8.89321 | − | 8.48628i | 0.404655 | − | 0.386139i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.79926i | 0.127108i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 37.8646i | − | 1.71581i | −0.513809 | − | 0.857905i | \(-0.671766\pi\) | ||
0.513809 | − | 0.857905i | \(-0.328234\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −20.8443 | + | 19.8905i | −0.942613 | + | 0.899482i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −3.06806 | − | 2.57441i | −0.138460 | − | 0.116181i | 0.570927 | − | 0.821001i | \(-0.306584\pi\) |
−0.709387 | + | 0.704819i | \(0.751028\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −11.0372 | − | 4.01722i | −0.497092 | − | 0.180927i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 8.04460 | + | 0.376925i | 0.361578 | + | 0.0169415i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −28.0219 | − | 33.3952i | −1.25696 | − | 1.49798i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 11.0174 | + | 1.94266i | 0.493205 | + | 0.0869653i | 0.414718 | − | 0.909950i | \(-0.363880\pi\) |
0.0784866 | + | 0.996915i | \(0.474991\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.95673 | − | 30.6010i | −0.0874201 | − | 1.36715i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 4.23206 | − | 7.33014i | 0.188698 | − | 0.326835i | −0.756118 | − | 0.654435i | \(-0.772907\pi\) |
0.944816 | + | 0.327600i | \(0.106240\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.35059 | + | 7.53544i | 0.193599 | + | 0.335323i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 9.02249 | + | 20.5941i | 0.400703 | + | 0.914618i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 12.3898 | + | 34.0407i | 0.549169 | + | 1.50883i | 0.834835 | + | 0.550500i | \(0.185563\pi\) |
−0.285666 | + | 0.958329i | \(0.592215\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −36.8077 | + | 6.49019i | −1.62828 | + | 0.287109i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 8.85746 | − | 25.6891i | 0.391067 | − | 1.13420i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0.785769 | + | 4.45632i | 0.0346251 | + | 0.196369i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 10.2145 | − | 3.71778i | 0.449234 | − | 0.163508i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.697576 | − | 6.27707i | 0.0306202 | − | 0.275533i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 4.12954 | − | 2.38419i | 0.180918 | − | 0.104453i | −0.406806 | − | 0.913515i | \(-0.633357\pi\) |
0.587724 | + | 0.809061i | \(0.300024\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.1966 | − | 5.88699i | −0.445865 | − | 0.257420i | 0.260218 | − | 0.965550i | \(-0.416206\pi\) |
−0.706082 | + | 0.708130i | \(0.749539\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 12.8165 | + | 19.2476i | 0.559358 | + | 0.840033i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 4.50151 | − | 25.5294i | 0.196089 | − | 1.11208i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −12.7039 | + | 10.6598i | −0.552342 | + | 0.463470i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −10.4135 | + | 11.2919i | −0.451910 | + | 0.490028i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.237850 | − | 0.653487i | 0.0103024 | − | 0.0283057i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.09949 | + | 1.31032i | −0.0475349 | + | 0.0566499i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −15.9580 | + | 3.87795i | −0.688638 | + | 0.167346i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −4.70842 | −0.202806 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 34.5931 | 1.48727 | 0.743637 | − | 0.668583i | \(-0.233099\pi\) | ||||
0.743637 | + | 0.668583i | \(0.233099\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −8.47012 | + | 28.8882i | −0.363487 | + | 1.23971i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −5.06663 | + | 6.03818i | −0.217031 | + | 0.258647i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.30930 | − | 11.8397i | 0.184252 | − | 0.506229i | −0.812835 | − | 0.582494i | \(-0.802077\pi\) |
0.997088 | + | 0.0762643i | \(0.0242993\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −6.16365 | + | 14.7473i | −0.263058 | + | 0.629398i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 11.3828 | − | 9.55130i | 0.484923 | − | 0.406899i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.04869 | + | 5.94743i | −0.0445950 | + | 0.252911i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −3.64946 | + | 7.37075i | −0.154911 | + | 0.312871i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −8.87365 | − | 5.12320i | −0.375988 | − | 0.217077i | 0.300083 | − | 0.953913i | \(-0.402986\pi\) |
−0.676071 | + | 0.736836i | \(0.736319\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.130803 | − | 0.0755191i | 0.00553238 | − | 0.00319412i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 31.9412 | + | 23.4986i | 1.34856 | + | 0.992113i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 19.7212 | − | 7.17792i | 0.831148 | − | 0.302513i | 0.108818 | − | 0.994062i | \(-0.465293\pi\) |
0.722330 | + | 0.691548i | \(0.243071\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.138449 | + | 0.785182i | 0.00582458 | + | 0.0330329i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −10.8023 | + | 22.7853i | −0.453655 | + | 0.956894i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 26.7748 | − | 4.72111i | 1.12246 | − | 0.197919i | 0.418537 | − | 0.908200i | \(-0.362543\pi\) |
0.703919 | + | 0.710280i | \(0.251432\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.09147 | − | 16.7362i | −0.254920 | − | 0.700387i | −0.999462 | − | 0.0328110i | \(-0.989554\pi\) |
0.744541 | − | 0.667576i | \(-0.232668\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −24.4204 | + | 33.1942i | −1.02018 | + | 1.38671i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 6.03505 | + | 10.4530i | 0.251679 | + | 0.435920i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.62886 | + | 2.82127i | −0.0678103 | + | 0.117451i | −0.897937 | − | 0.440124i | \(-0.854935\pi\) |
0.830127 | + | 0.557575i | \(0.188268\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 35.9701 | + | 17.8098i | 1.49487 | + | 0.740150i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 20.0525 | + | 3.53580i | 0.831919 | + | 0.146690i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −39.1207 | − | 46.6222i | −1.62021 | − | 1.93089i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.159149 | + | 0.121316i | −0.00658002 | + | 0.00501579i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 5.88738 | + | 2.14283i | 0.242998 | + | 0.0884441i | 0.460648 | − | 0.887583i | \(-0.347617\pi\) |
−0.217650 | + | 0.976027i | \(0.569839\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 25.1225 | + | 21.0803i | 1.03515 | + | 0.868598i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 36.1447 | + | 10.5977i | 1.48679 | + | 0.435932i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | − | 3.99725i | − | 0.164147i | −0.996626 | − | 0.0820737i | \(-0.973846\pi\) | ||
0.996626 | − | 0.0820737i | \(-0.0261543\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 5.61373i | − | 0.230140i | ||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 2.66698 | + | 10.9748i | 0.109152 | + | 0.449167i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −21.1491 | − | 17.7462i | −0.864130 | − | 0.725091i | 0.0987241 | − | 0.995115i | \(-0.468524\pi\) |
−0.962854 | + | 0.270024i | \(0.912968\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.17185 | − | 0.790488i | −0.0885915 | − | 0.0322447i | 0.297344 | − | 0.954770i | \(-0.403899\pi\) |
−0.385936 | + | 0.922526i | \(0.626121\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 7.77819 | − | 34.5635i | 0.316752 | − | 1.40753i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −6.12964 | − | 7.30503i | −0.249205 | − | 0.296992i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −18.9616 | − | 3.34344i | −0.769627 | − | 0.135706i | −0.224971 | − | 0.974366i | \(-0.572229\pi\) |
−0.544656 | + | 0.838660i | \(0.683340\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −11.4774 | + | 7.64250i | −0.465086 | + | 0.309690i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.135052 | + | 0.233917i | −0.00546362 | + | 0.00946327i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.24284 | − | 3.88470i | −0.0905873 | − | 0.156902i | 0.817171 | − | 0.576395i | \(-0.195541\pi\) |
−0.907758 | + | 0.419493i | \(0.862208\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −4.21633 | − | 0.468564i | −0.170019 | − | 0.0188943i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 3.96204 | + | 10.8856i | 0.159506 | + | 0.438238i | 0.993541 | − | 0.113473i | \(-0.0361975\pi\) |
−0.834036 | + | 0.551711i | \(0.813975\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.1776 | − | 1.79458i | 0.409072 | − | 0.0721304i | 0.0346742 | − | 0.999399i | \(-0.488961\pi\) |
0.374398 | + | 0.927268i | \(0.377850\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −6.38589 | + | 11.5091i | −0.256257 | + | 0.461845i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.45469 | − | 8.24995i | −0.0582808 | − | 0.330527i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −20.2327 | + | 7.36410i | −0.809307 | + | 0.294564i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −45.9493 | + | 20.1308i | −1.83504 | + | 0.803948i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −35.0718 | + | 20.2487i | −1.39841 | + | 0.807370i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.26065 | + | 1.88254i | 0.129805 | + | 0.0749427i | 0.563496 | − | 0.826119i | \(-0.309456\pi\) |
−0.433692 | + | 0.901061i | \(0.642789\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 24.6964 | − | 1.57917i | 0.981596 | − | 0.0627665i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.152933 | − | 0.867325i | 0.00606895 | − | 0.0344187i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.0896248 | − | 0.0752041i | 0.00355106 | − | 0.00297970i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 39.2878 | + | 25.2055i | 1.55420 | + | 0.997113i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 6.94756 | − | 19.0883i | 0.274412 | − | 0.753942i | −0.723558 | − | 0.690263i | \(-0.757495\pi\) |
0.997970 | − | 0.0636782i | \(-0.0202831\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.85353 | + | 2.20895i | −0.0730961 | + | 0.0871125i | −0.801353 | − | 0.598191i | \(-0.795886\pi\) |
0.728257 | + | 0.685304i | \(0.240331\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.636081 | − | 0.666582i | −0.0250457 | − | 0.0262466i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 39.5336 | 1.55423 | 0.777113 | − | 0.629361i | \(-0.216683\pi\) | ||||
0.777113 | + | 0.629361i | \(0.216683\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 28.3579 | 1.11315 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −21.0099 | − | 22.0174i | −0.823444 | − | 0.862930i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 22.1617 | − | 26.4113i | 0.867255 | − | 1.03355i | −0.131850 | − | 0.991270i | \(-0.542092\pi\) |
0.999106 | − | 0.0422848i | \(-0.0134637\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.76136 | + | 4.83928i | −0.0688218 | + | 0.189086i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 35.5563 | − | 18.3656i | 1.38718 | − | 0.716512i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 19.8289 | − | 16.6384i | 0.772424 | − | 0.648141i | −0.168904 | − | 0.985632i | \(-0.554023\pi\) |
0.941329 | + | 0.337491i | \(0.109578\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.72527 | + | 49.4835i | −0.339374 | + | 1.92468i | 0.0394636 | + | 0.999221i | \(0.487435\pi\) |
−0.378837 | + | 0.925463i | \(0.623676\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.983329 | + | 0.0628773i | −0.0381893 | + | 0.00244195i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 6.15039 | + | 3.55093i | 0.238502 | + | 0.137699i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.23315 | + | 3.59871i | −0.241348 | + | 0.139343i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 7.42642 | − | 3.25359i | 0.287122 | − | 0.125791i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 27.7282 | − | 10.0923i | 1.07044 | − | 0.389607i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.48612 | + | 25.4421i | 0.172927 | + | 0.980720i | 0.940509 | + | 0.339769i | \(0.110349\pi\) |
−0.767582 | + | 0.640951i | \(0.778540\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −19.2356 | − | 15.5900i | −0.740380 | − | 0.600059i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 10.5198 | − | 1.85492i | 0.404307 | − | 0.0712903i | 0.0322033 | − | 0.999481i | \(-0.489748\pi\) |
0.372104 | + | 0.928191i | \(0.378636\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 5.53427 | + | 15.2053i | 0.212386 | + | 0.583525i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 43.6306 | + | 4.84870i | 1.67193 | + | 0.185803i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 0.463561 | + | 0.802911i | 0.0177377 | + | 0.0307225i | 0.874758 | − | 0.484560i | \(-0.161020\pi\) |
−0.857020 | + | 0.515283i | \(0.827687\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.22226 | − | 5.58111i | 0.123116 | − | 0.213243i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 9.84936 | − | 6.55845i | 0.375777 | − | 0.250221i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.48933 | + | 0.262608i | 0.0567388 | + | 0.0100046i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 24.1572 | + | 28.7894i | 0.918982 | + | 1.09520i | 0.995176 | + | 0.0981070i | \(0.0312787\pi\) |
−0.0761939 | + | 0.997093i | \(0.524277\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 44.4426 | − | 13.8571i | 1.68823 | − | 0.526389i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −1.01887 | − | 0.370839i | −0.0386480 | − | 0.0140667i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −16.0014 | − | 13.4268i | −0.606098 | − | 0.508576i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 10.3707 | + | 42.6759i | 0.392255 | + | 1.61415i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 2.31861i | − | 0.0875726i | −0.999041 | − | 0.0437863i | \(-0.986058\pi\) | ||
0.999041 | − | 0.0437863i | \(-0.0139421\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 51.2329i | − | 1.93228i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.58114 | + | 0.463597i | 0.0595494 | + | 0.0174601i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 38.5298 | + | 32.3304i | 1.44906 | + | 1.21591i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −15.2477 | − | 5.54971i | −0.572639 | − | 0.208424i | 0.0394375 | − | 0.999222i | \(-0.487443\pi\) |
−0.612077 | + | 0.790798i | \(0.709666\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.823595 | − | 6.41371i | −0.0308872 | − | 0.240533i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −10.2108 | − | 12.1687i | −0.382396 | − | 0.455722i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.363828 | + | 0.0641526i | 0.0136064 | + | 0.00239917i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −14.1609 | − | 7.01148i | −0.528850 | − | 0.261848i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 8.16209 | − | 14.1372i | 0.304395 | − | 0.527227i | −0.672732 | − | 0.739886i | \(-0.734879\pi\) |
0.977126 | + | 0.212660i | \(0.0682125\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.0786 | + | 22.6527i | 0.487071 | + | 0.843632i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 6.45474 | − | 8.77380i | 0.240054 | − | 0.326301i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −4.63079 | − | 12.7230i | −0.171983 | − | 0.472521i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −11.7743 | + | 2.07612i | −0.436684 | + | 0.0769992i | −0.387669 | − | 0.921799i | \(-0.626719\pi\) |
−0.0490155 | + | 0.998798i | \(0.515608\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 3.77998 | − | 26.7341i | 0.139999 | − | 0.990152i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.787792 | − | 4.46779i | −0.0291375 | − | 0.165247i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −21.5306 | + | 7.83651i | −0.795252 | + | 0.289448i | −0.707518 | − | 0.706696i | \(-0.750185\pi\) |
−0.0877347 | + | 0.996144i | \(0.527963\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.574896 | − | 0.422942i | −0.0212054 | − | 0.0156004i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −56.6422 | + | 32.7024i | −2.08644 | + | 1.20461i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −10.9086 | − | 6.29807i | −0.401279 | − | 0.231678i | 0.285757 | − | 0.958302i | \(-0.407755\pi\) |
−0.687036 | + | 0.726624i | \(0.741088\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.553111 | − | 1.11711i | 0.0203190 | − | 0.0410379i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.72734 | − | 32.4813i | 0.210116 | − | 1.19162i | −0.679068 | − | 0.734075i | \(-0.737616\pi\) |
0.889184 | − | 0.457550i | \(-0.151273\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.22414 | + | 6.06177i | −0.264672 | + | 0.222086i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −21.6246 | + | 2.77685i | −0.791204 | + | 0.101600i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −3.38173 | + | 9.29123i | −0.123566 | + | 0.339494i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.5734 | − | 18.5597i | 0.568282 | − | 0.677252i | −0.402996 | − | 0.915202i | \(-0.632031\pi\) |
0.971277 | + | 0.237950i | \(0.0764755\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 11.1487 | − | 38.0237i | 0.406280 | − | 1.38566i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −5.17811 | −0.188451 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.53542 | 0.0921512 | 0.0460756 | − | 0.998938i | \(-0.485328\pi\) | ||||
0.0460756 | + | 0.998938i | \(0.485328\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 23.6118 | − | 5.73791i | 0.857054 | − | 0.208273i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.16069 | + | 1.38325i | −0.0420749 | + | 0.0501429i | −0.786671 | − | 0.617372i | \(-0.788197\pi\) |
0.744597 | + | 0.667515i | \(0.232642\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −15.5836 | + | 42.8157i | −0.564166 | + | 1.55003i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 1.78921 | + | 5.73835i | 0.0646890 | + | 0.207471i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −0.539793 | + | 0.452940i | −0.0194908 | + | 0.0163547i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.71366 | + | 43.7463i | −0.278162 | + | 1.57753i | 0.450575 | + | 0.892739i | \(0.351219\pi\) |
−0.728736 | + | 0.684795i | \(0.759892\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 12.6063 | + | 18.9319i | 0.454004 | + | 0.681814i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −15.4056 | − | 8.89445i | −0.554102 | − | 0.319911i | 0.196673 | − | 0.980469i | \(-0.436986\pi\) |
−0.750775 | + | 0.660558i | \(0.770320\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 25.8791 | − | 14.9413i | 0.929604 | − | 0.536707i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −5.25118 | + | 47.2523i | −0.188385 | + | 1.69517i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 24.8320 | − | 9.03811i | 0.889699 | − | 0.323824i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −14.9640 | − | 84.8651i | −0.535454 | − | 3.03671i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 9.29635 | − | 11.4702i | 0.332224 | − | 0.409913i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.0402072 | − | 0.00708961i | 0.00143506 | − | 0.000253039i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −15.9081 | − | 43.7073i | −0.567064 | − | 1.55800i | −0.809065 | − | 0.587719i | \(-0.800026\pi\) |
0.242001 | − | 0.970276i | \(-0.422196\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −15.8005 | − | 36.0651i | −0.562511 | − | 1.28395i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 2.30438 | + | 3.99130i | 0.0819343 | + | 0.141914i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.366611 | + | 0.634989i | −0.0130188 | + | 0.0225491i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.588703 | − | 9.20664i | −0.0208791 | − | 0.326526i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 44.5297 | + | 7.85179i | 1.57732 | + | 0.278125i | 0.892659 | − | 0.450733i | \(-0.148837\pi\) |
0.684665 | + | 0.728858i | \(0.259949\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.21498 | + | 6.21497i | 0.184493 | + | 0.219870i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 4.11641 | + | 7.96946i | 0.145446 | + | 0.281587i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −69.4257 | − | 25.2689i | −2.44998 | − | 0.891719i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.63516 | − | 2.21117i | −0.0928773 | − | 0.0779333i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −32.6001 | + | 31.1084i | −1.14758 | + | 1.09507i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − | 29.6804i | − | 1.04351i | −0.853096 | − | 0.521754i | \(-0.825278\pi\) | ||
0.853096 | − | 0.521754i | \(-0.174722\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 18.7731i | 0.659212i | 0.944118 | + | 0.329606i | \(0.106916\pi\) | ||||
−0.944118 | + | 0.329606i | \(0.893084\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −20.0510 | + | 19.1335i | −0.703218 | + | 0.671041i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 6.17643 | + | 5.18264i | 0.216351 | + | 0.181540i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 5.39321 | + | 1.96297i | 0.188685 | + | 0.0686756i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.624635 | + | 0.973620i | −0.0218265 | + | 0.0340210i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −10.4915 | − | 12.5033i | −0.366157 | − | 0.436369i | 0.551237 | − | 0.834349i | \(-0.314156\pi\) |
−0.917394 | + | 0.397980i | \(0.869711\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.89068 | + | 0.686032i | 0.135621 | + | 0.0239136i | 0.241046 | − | 0.970514i | \(-0.422509\pi\) |
−0.105426 | + | 0.994427i | \(0.533621\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.91692 | + | 45.6173i | 0.101554 | + | 1.58819i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −3.09424 | + | 5.35938i | −0.107597 | + | 0.186364i | −0.914796 | − | 0.403915i | \(-0.867649\pi\) |
0.807199 | + | 0.590279i | \(0.200982\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13.3127 | + | 23.0583i | 0.462369 | + | 0.800847i | 0.999079 | − | 0.0429202i | \(-0.0136661\pi\) |
−0.536709 | + | 0.843767i | \(0.680333\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 4.92822 | + | 11.2488i | 0.170958 | + | 0.390218i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −1.20193 | − | 3.30228i | −0.0416445 | − | 0.114417i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −8.45056 | + | 1.49006i | −0.292444 | + | 0.0515657i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 28.4938 | + | 15.8099i | 0.984889 | + | 0.546470i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 4.51239 | + | 25.5910i | 0.155785 | + | 0.883500i | 0.958065 | + | 0.286552i | \(0.0925091\pi\) |
−0.802280 | + | 0.596948i | \(0.796380\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −19.6643 | + | 7.15723i | −0.678081 | + | 0.246801i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −4.48669 | + | 40.3731i | −0.154530 | + | 1.39052i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 5.44897 | − | 3.14596i | 0.187450 | − | 0.108224i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −47.7379 | − | 27.5615i | −1.64029 | − | 0.947024i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −17.1786 | − | 25.7985i | −0.589568 | − | 0.885402i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −4.30924 | + | 24.4389i | −0.147719 | + | 0.837755i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 20.9654 | − | 17.5921i | 0.717841 | − | 0.602340i | −0.208946 | − | 0.977927i | \(-0.567003\pi\) |
0.926787 | + | 0.375587i | \(0.122559\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −7.41868 | − | 1.66951i | −0.253714 | − | 0.0570959i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 13.4861 | − | 37.0527i | 0.460675 | − | 1.26570i | −0.464303 | − | 0.885676i | \(-0.653695\pi\) |
0.924979 | − | 0.380019i | \(-0.124083\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −20.0194 | + | 23.8581i | −0.683052 | + | 0.814029i | −0.990497 | − | 0.137537i | \(-0.956082\pi\) |
0.307445 | + | 0.951566i | \(0.400526\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −23.8290 | + | 5.79069i | −0.812091 | + | 0.197346i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −15.3664 | −0.523080 | −0.261540 | − | 0.965193i | \(-0.584230\pi\) | ||||
−0.261540 | + | 0.965193i | \(0.584230\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.76740 | −0.0600935 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.0426378 | + | 0.145421i | −0.00144806 | + | 0.00493875i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −7.67349 | + | 9.14491i | −0.260305 | + | 0.310220i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.555854 | − | 1.52720i | 0.0188344 | − | 0.0517471i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −10.5034 | − | 13.7790i | −0.355485 | − | 0.466347i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 10.1588 | − | 8.52422i | 0.343429 | − | 0.288171i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.58618 | − | 14.6670i | 0.0873292 | − | 0.495268i | −0.909500 | − | 0.415703i | \(-0.863536\pi\) |
0.996830 | − | 0.0795655i | \(-0.0253533\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 5.04162 | − | 10.1824i | 0.170049 | − | 0.343445i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 5.64798 | + | 3.26086i | 0.190285 | + | 0.109861i | 0.592116 | − | 0.805853i | \(-0.298293\pi\) |
−0.401831 | + | 0.915714i | \(0.631626\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −7.48288 | + | 4.32025i | −0.251819 | + | 0.145388i | −0.620597 | − | 0.784130i | \(-0.713110\pi\) |
0.368778 | + | 0.929518i | \(0.379776\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 3.46249 | + | 2.54730i | 0.116390 | + | 0.0856265i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −18.2775 | + | 6.65248i | −0.613699 | + | 0.223368i | −0.630121 | − | 0.776497i | \(-0.716995\pi\) |
0.0164218 | + | 0.999865i | \(0.494773\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.884027 | − | 5.01357i | −0.0296493 | − | 0.168150i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −41.0127 | + | 28.3295i | −1.37398 | + | 0.949075i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −10.1078 | + | 1.78228i | −0.338245 | + | 0.0596418i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.57182 | + | 4.31853i | 0.0525400 | + | 0.144353i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.357804 | + | 0.486355i | −0.0119467 | + | 0.0162389i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 8.90952 | + | 15.4317i | 0.297149 | + | 0.514677i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 22.7124 | − | 39.3390i | 0.756658 | − | 1.31057i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −4.77298 | − | 2.36324i | −0.158835 | − | 0.0786436i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 8.29647 | + | 1.46289i | 0.275784 | + | 0.0486282i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −7.59722 | − | 9.05401i | −0.252262 | − | 0.300634i | 0.625021 | − | 0.780608i | \(-0.285090\pi\) |
−0.877283 | + | 0.479974i | \(0.840646\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −49.6896 | − | 20.7679i | −1.64810 | − | 0.688827i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −21.4631 | − | 7.81193i | −0.711104 | − | 0.258821i | −0.0389597 | − | 0.999241i | \(-0.512404\pi\) |
−0.672144 | + | 0.740420i | \(0.734627\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 30.8332 | + | 25.8721i | 1.02043 | + | 0.856243i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 4.29216 | + | 1.25848i | 0.141895 | + | 0.0416039i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 29.7687i | 0.983050i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 37.8484i | 1.24850i | 0.781223 | + | 0.624252i | \(0.214596\pi\) | ||||
−0.781223 | + | 0.624252i | \(0.785404\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 2.75029 | + | 11.3176i | 0.0906252 | + | 0.372928i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 1.64033 | + | 1.37640i | 0.0539921 | + | 0.0453048i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −43.8676 | − | 15.9665i | −1.44236 | − | 0.524975i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −20.5888 | − | 18.9872i | −0.676225 | − | 0.623623i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −29.4994 | − | 35.1560i | −0.967842 | − | 1.15343i | −0.988128 | − | 0.153635i | \(-0.950902\pi\) |
0.0202851 | − | 0.999794i | \(-0.493543\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 4.37825 | + | 0.772003i | 0.143491 | + | 0.0253014i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −31.6582 | + | 21.0805i | −1.03644 | + | 0.690144i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 5.54841 | − | 9.61012i | 0.181452 | − | 0.314285i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 3.52727 | + | 6.10942i | 0.115231 | + | 0.199586i | 0.917872 | − | 0.396876i | \(-0.129906\pi\) |
−0.802641 | + | 0.596462i | \(0.796572\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 45.0297 | + | 5.00418i | 1.46949 | + | 0.163305i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 8.53894 | + | 23.4606i | 0.278362 | + | 0.764792i | 0.997549 | + | 0.0699758i | \(0.0222922\pi\) |
−0.719187 | + | 0.694816i | \(0.755486\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −12.6055 | + | 2.22268i | −0.410491 | + | 0.0723806i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 6.67116 | + | 2.30018i | 0.217013 | + | 0.0748248i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 4.09418 | + | 23.2192i | 0.133043 | + | 0.754523i | 0.976203 | + | 0.216860i | \(0.0695816\pi\) |
−0.843160 | + | 0.537663i | \(0.819307\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.72512 | − | 0.627892i | 0.0559998 | − | 0.0203823i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 5.81687 | − | 2.54843i | 0.188625 | − | 0.0826384i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −45.6991 | + | 26.3844i | −1.48034 | + | 0.854675i | −0.999752 | − | 0.0222716i | \(-0.992910\pi\) |
−0.480588 | + | 0.876946i | \(0.659577\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 9.98711 | + | 5.76606i | 0.323175 | + | 0.186585i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −27.2017 | + | 1.73936i | −0.879305 | + | 0.0562256i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 6.46883 | − | 36.6865i | 0.208889 | − | 1.18467i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −6.37938 | + | 5.35293i | −0.205786 | + | 0.172675i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.495501 | − | 10.5753i | 0.0159673 | − | 0.340785i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 3.84165 | − | 10.5548i | 0.123667 | − | 0.339772i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.29031 | − | 5.11300i | 0.137967 | − | 0.164423i | −0.692637 | − | 0.721287i | \(-0.743551\pi\) |
0.830604 | + | 0.556864i | \(0.187995\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −25.8485 | − | 27.0880i | −0.830375 | − | 0.870192i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −47.2223 | −1.51544 | −0.757718 | − | 0.652583i | \(-0.773686\pi\) | ||||
−0.757718 | + | 0.652583i | \(0.773686\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −6.26757 | −0.200929 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.784135 | − | 0.821736i | −0.0251124 | − | 0.0263166i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 3.66923 | − | 4.37281i | 0.117389 | − | 0.139899i | −0.704150 | − | 0.710052i | \(-0.748672\pi\) |
0.821539 | + | 0.570153i | \(0.193116\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 5.66368 | − | 15.5608i | 0.181012 | − | 0.497326i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.28336 | − | 48.7331i | 0.0729021 | − | 1.55593i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 15.5327 | − | 13.0335i | 0.495417 | − | 0.415704i | −0.360546 | − | 0.932741i | \(-0.617410\pi\) |
0.855963 | + | 0.517037i | \(0.172965\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.83036 | − | 10.3805i | 0.0583200 | − | 0.330749i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 9.50516 | − | 0.607791i | 0.302552 | − | 0.0193462i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −2.40754 | − | 1.39000i | −0.0765554 | − | 0.0441993i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.54540 | − | 3.77899i | 0.207922 | − | 0.120044i | −0.392424 | − | 0.919785i | \(-0.628363\pi\) |
0.600345 | + | 0.799741i | \(0.295030\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 21.1317 | − | 9.25801i | 0.670594 | − | 0.293794i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2.96998 | − | 1.08098i | 0.0941546 | − | 0.0342695i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.942202 | + | 5.34349i | 0.0298398 | + | 0.169230i | 0.996086 | − | 0.0883910i | \(-0.0281725\pi\) |
−0.966246 | + | 0.257621i | \(0.917061\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −9.69251 | − | 49.9749i | −0.306658 | − | 1.58114i |
(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 | 432.2.be.c.95.5 | yes | 36 | |
4.3 | odd | 2 | 432.2.be.b.95.2 | ✓ | 36 | ||
27.2 | odd | 18 | 432.2.be.b.191.2 | yes | 36 | ||
108.83 | even | 18 | inner | 432.2.be.c.191.5 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
432.2.be.b.95.2 | ✓ | 36 | 4.3 | odd | 2 | ||
432.2.be.b.191.2 | yes | 36 | 27.2 | odd | 18 | ||
432.2.be.c.95.5 | yes | 36 | 1.1 | even | 1 | trivial | |
432.2.be.c.191.5 | yes | 36 | 108.83 | even | 18 | inner |