Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [668,2,Mod(9,668)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(668, base_ring=CyclotomicField(166))
chi = DirichletCharacter(H, H._module([0, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("668.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 668 = 2^{2} \cdot 167 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 668.e (of order \(83\), degree \(82\), 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: | \(5.33400685502\) |
Analytic rank: | \(0\) |
Dimension: | \(1148\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{83})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{83}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Character | \(\chi\) | \(=\) | 668.9 |
Dual form | 668.2.e.a.297.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/668\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(335\) |
\(\chi(n)\) | \(e\left(\frac{11}{83}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.342745 | − | 2.57205i | −0.197884 | − | 1.48498i | −0.755648 | − | 0.654977i | \(-0.772678\pi\) |
0.557765 | − | 0.829999i | \(-0.311659\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.628586 | − | 0.277966i | −0.281112 | − | 0.124310i | 0.259069 | − | 0.965859i | \(-0.416584\pi\) |
−0.540181 | + | 0.841549i | \(0.681644\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.47454 | + | 3.17087i | −0.557325 | + | 1.19848i | 0.401861 | + | 0.915701i | \(0.368364\pi\) |
−0.959186 | + | 0.282775i | \(0.908745\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −3.60268 | + | 0.977525i | −1.20089 | + | 0.325842i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.684433 | + | 0.877554i | −0.206364 | + | 0.264593i | −0.880533 | − | 0.473985i | \(-0.842815\pi\) |
0.674169 | + | 0.738577i | \(0.264502\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.75582 | + | 3.42993i | −0.486977 | + | 0.951291i | 0.508922 | + | 0.860813i | \(0.330044\pi\) |
−0.995898 | + | 0.0904779i | \(0.971161\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.499499 | + | 1.71203i | −0.128970 | + | 0.442044i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.451009 | + | 0.0342072i | 0.109386 | + | 0.00829646i | 0.130208 | − | 0.991487i | \(-0.458436\pi\) |
−0.0208221 | + | 0.999783i | \(0.506628\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.29462 | + | 6.46039i | −0.985254 | + | 1.48212i | −0.112681 | + | 0.993631i | \(0.535944\pi\) |
−0.872573 | + | 0.488484i | \(0.837550\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 8.66104 | + | 2.70581i | 1.88999 | + | 0.590456i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.87555 | + | 0.745869i | 0.391079 | + | 0.155524i | 0.556797 | − | 0.830649i | \(-0.312030\pi\) |
−0.165718 | + | 0.986173i | \(0.552994\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.04651 | − | 3.34934i | −0.609302 | − | 0.669868i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.736103 | + | 1.75360i | 0.141663 | + | 0.337480i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.785163 | + | 0.312244i | −0.145801 | + | 0.0579823i | −0.441293 | − | 0.897363i | \(-0.645480\pi\) |
0.295492 | + | 0.955345i | \(0.404516\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.72875 | + | 0.399495i | −0.310492 | + | 0.0717515i | −0.377525 | − | 0.925999i | \(-0.623225\pi\) |
0.0670335 | + | 0.997751i | \(0.478647\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.49170 | + | 1.45962i | 0.433750 | + | 0.254087i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.80827 | − | 1.58329i | 0.305654 | − | 0.267625i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.03378 | − | 0.823165i | −0.498751 | − | 0.135328i | 0.00359603 | − | 0.999994i | \(-0.498855\pi\) |
−0.502347 | + | 0.864666i | \(0.667530\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 9.42376 | + | 3.34047i | 1.50901 | + | 0.534904i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.80006 | − | 4.29666i | 1.37434 | − | 0.671025i | 0.404447 | − | 0.914562i | \(-0.367464\pi\) |
0.969892 | + | 0.243536i | \(0.0783075\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.281863 | − | 2.96980i | 0.0429837 | − | 0.452890i | −0.947938 | − | 0.318454i | \(-0.896837\pi\) |
0.990922 | − | 0.134437i | \(-0.0429225\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.53631 | + | 0.386964i | 0.378091 | + | 0.0576852i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.207333 | + | 10.9540i | 0.0302426 | + | 1.59781i | 0.616279 | + | 0.787528i | \(0.288639\pi\) |
−0.586037 | + | 0.810284i | \(0.699313\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.36935 | − | 3.99834i | −0.481336 | − | 0.571191i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.0665982 | − | 1.17174i | −0.00932561 | − | 0.164077i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.65631 | + | 9.63007i | 0.227512 | + | 1.32279i | 0.844388 | + | 0.535731i | \(0.179964\pi\) |
−0.616877 | + | 0.787060i | \(0.711602\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.674155 | − | 0.361369i | 0.0909030 | − | 0.0487270i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 18.0884 | + | 8.83174i | 2.39587 | + | 1.16979i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −11.8163 | + | 0.896218i | −1.53835 | + | 0.116678i | −0.817303 | − | 0.576209i | \(-0.804532\pi\) |
−0.721047 | + | 0.692886i | \(0.756339\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 10.0304 | − | 10.2220i | 1.28426 | − | 1.30880i | 0.357132 | − | 0.934054i | \(-0.383755\pi\) |
0.927128 | − | 0.374744i | \(-0.122269\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.21270 | − | 12.8650i | 0.278775 | − | 1.62084i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.05709 | − | 1.66795i | 0.255150 | − | 0.206883i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.03799 | + | 1.78563i | −0.493319 | + | 0.218150i | −0.636103 | − | 0.771604i | \(-0.719455\pi\) |
0.142784 | + | 0.989754i | \(0.454395\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.27558 | − | 5.07965i | 0.153562 | − | 0.611519i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −8.69542 | + | 0.991644i | −1.03196 | + | 0.117686i | −0.612808 | − | 0.790231i | \(-0.709960\pi\) |
−0.419148 | + | 0.907918i | \(0.637671\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.19028 | + | 0.892634i | −0.139312 | + | 0.104475i | −0.667344 | − | 0.744750i | \(-0.732569\pi\) |
0.528032 | + | 0.849225i | \(0.322930\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −7.57052 | + | 8.98376i | −0.874168 | + | 1.03735i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.77338 | − | 3.46424i | −0.202096 | − | 0.394787i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.45274 | + | 6.52457i | −0.275955 | + | 0.734072i | 0.723106 | + | 0.690737i | \(0.242714\pi\) |
−0.999061 | + | 0.0433345i | \(0.986202\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −5.40490 | + | 3.16615i | −0.600544 | + | 0.351794i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.50388 | + | 2.08647i | −0.165072 | + | 0.229020i | −0.885649 | − | 0.464355i | \(-0.846286\pi\) |
0.720578 | + | 0.693374i | \(0.243877\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.273989 | − | 0.146867i | −0.0297183 | − | 0.0159300i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.07222 | + | 1.91246i | 0.114954 | + | 0.205038i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.02809 | + | 3.52376i | 0.108977 | + | 0.373517i | 0.996123 | − | 0.0879713i | \(-0.0280384\pi\) |
−0.887146 | + | 0.461489i | \(0.847315\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −8.28682 | − | 10.6251i | −0.868695 | − | 1.11381i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.62004 | + | 4.30950i | 0.167991 | + | 0.446875i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 4.49531 | − | 2.86715i | 0.461209 | − | 0.294163i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.71211 | − | 0.626740i | −0.275373 | − | 0.0636358i | 0.0852100 | − | 0.996363i | \(-0.472844\pi\) |
−0.360583 | + | 0.932727i | \(0.617422\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.60796 | − | 3.83060i | 0.161606 | − | 0.384989i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.783642 | − | 8.25670i | −0.0779753 | − | 0.821573i | −0.945810 | − | 0.324720i | \(-0.894730\pi\) |
0.867835 | − | 0.496853i | \(-0.165511\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.29322 | − | 0.895429i | 0.127425 | − | 0.0882292i | −0.503838 | − | 0.863798i | \(-0.668079\pi\) |
0.631263 | + | 0.775569i | \(0.282537\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −4.69208 | − | 4.10831i | −0.457901 | − | 0.400930i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −10.2876 | − | 7.12314i | −0.994539 | − | 0.688620i | −0.0439371 | − | 0.999034i | \(-0.513990\pi\) |
−0.950601 | + | 0.310414i | \(0.899532\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −13.9444 | − | 8.89388i | −1.33563 | − | 0.851880i | −0.339575 | − | 0.940579i | \(-0.610283\pi\) |
−0.996058 | + | 0.0886995i | \(0.971729\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.07741 | + | 8.08520i | −0.102263 | + | 0.767413i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.974842 | + | 1.59418i | −0.0917055 | + | 0.149968i | −0.895685 | − | 0.444689i | \(-0.853314\pi\) |
0.803980 | + | 0.594657i | \(0.202712\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.971616 | − | 0.990181i | −0.0906037 | − | 0.0923348i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 2.97282 | − | 14.0733i | 0.274837 | − | 1.30108i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.773499 | + | 1.37965i | −0.0709065 | + | 0.126472i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.37744 | + | 9.46751i | 0.216131 | + | 0.860682i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −14.0674 | − | 21.1616i | −1.26842 | − | 1.90808i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 2.07064 | + | 6.21236i | 0.185204 | + | 0.555650i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 18.8365 | + | 2.14816i | 1.67147 | + | 0.190618i | 0.897012 | − | 0.442005i | \(-0.145733\pi\) |
0.774459 | + | 0.632624i | \(0.218022\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −7.73510 | + | 0.292917i | −0.681037 | + | 0.0257899i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.696551 | + | 12.2553i | −0.0608580 | + | 1.07075i | 0.812278 | + | 0.583271i | \(0.198227\pi\) |
−0.873136 | + | 0.487477i | \(0.837917\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −14.1524 | − | 23.1438i | −1.22717 | − | 2.00682i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.0247363 | − | 1.30690i | 0.00212896 | − | 0.112480i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −2.87001 | + | 1.01734i | −0.245201 | + | 0.0869173i | −0.453866 | − | 0.891070i | \(-0.649956\pi\) |
0.208665 | + | 0.977987i | \(0.433088\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.9728 | − | 13.2012i | −1.18516 | − | 1.11971i | −0.990309 | − | 0.138879i | \(-0.955650\pi\) |
−0.194851 | − | 0.980833i | \(-0.562422\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 28.1033 | − | 4.28772i | 2.36673 | − | 0.361091i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.80821 | − | 3.88838i | −0.151210 | − | 0.325163i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.580335 | + | 0.0219765i | 0.0481942 | + | 0.00182505i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −9.12911 | + | 10.0366i | −0.752956 | + | 0.827803i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 5.90270 | + | 4.78608i | 0.483568 | + | 0.392091i | 0.840305 | − | 0.542114i | \(-0.182376\pi\) |
−0.356737 | + | 0.934205i | \(0.616111\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.26088 | + | 0.945573i | 0.102609 | + | 0.0769497i | 0.650035 | − | 0.759904i | \(-0.274754\pi\) |
−0.547427 | + | 0.836854i | \(0.684393\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.65828 | + | 0.317635i | −0.134064 | + | 0.0256792i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.19771 | + | 0.229415i | 0.0962024 | + | 0.0184271i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.33505 | + | 6.32011i | 0.106548 | + | 0.504399i | 0.998621 | + | 0.0525064i | \(0.0167210\pi\) |
−0.892072 | + | 0.451893i | \(0.850749\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 24.2014 | − | 7.56078i | 1.91929 | − | 0.599609i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −5.13063 | + | 4.84730i | −0.404350 | + | 0.382021i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.63149 | − | 7.89501i | 0.206114 | − | 0.618385i | −0.793834 | − | 0.608135i | \(-0.791918\pi\) |
0.999947 | − | 0.0102502i | \(-0.00326278\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.16052 | − | 1.61011i | −0.0903467 | − | 0.125347i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 9.42530 | + | 8.84102i | 0.729352 | + | 0.684139i | ||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.08015 | − | 1.49860i | −0.0830888 | − | 0.115277i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 9.15696 | − | 27.4728i | 0.700250 | − | 2.10090i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −5.14672 | + | 4.86250i | −0.391298 | + | 0.369689i | −0.857056 | − | 0.515223i | \(-0.827709\pi\) |
0.465759 | + | 0.884912i | \(0.345781\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 15.1125 | − | 4.72133i | 1.14240 | − | 0.356899i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 6.35509 | + | 30.0850i | 0.477678 | + | 2.26132i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.78349 | − | 1.10780i | −0.432279 | − | 0.0828008i | −0.0326264 | − | 0.999468i | \(-0.510387\pi\) |
−0.399652 | + | 0.916667i | \(0.630869\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.02778 | − | 0.771500i | 0.299382 | − | 0.0573452i | −0.0362358 | − | 0.999343i | \(-0.511537\pi\) |
0.335618 | + | 0.941998i | \(0.391055\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −29.7295 | − | 22.2952i | −2.19767 | − | 1.64811i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.67818 | + | 1.36072i | 0.123382 | + | 0.100042i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.338704 | + | 0.372372i | −0.0247685 | + | 0.0272305i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −6.64585 | − | 0.251669i | −0.483414 | − | 0.0183062i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −7.00703 | − | 15.0680i | −0.507011 | − | 1.09028i | −0.978089 | − | 0.208188i | \(-0.933243\pi\) |
0.471078 | − | 0.882092i | \(-0.343865\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.06364 | − | 0.619988i | 0.292507 | − | 0.0446277i | −0.00291102 | − | 0.999996i | \(-0.500927\pi\) |
0.295418 | + | 0.955368i | \(0.404541\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −4.99510 | − | 4.71926i | −0.357707 | − | 0.337953i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 13.1975 | − | 4.67815i | 0.940280 | − | 0.333304i | 0.180567 | − | 0.983563i | \(-0.442207\pi\) |
0.759713 | + | 0.650258i | \(0.225339\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.108310 | − | 5.72234i | 0.00767787 | − | 0.405646i | −0.975194 | − | 0.221354i | \(-0.928952\pi\) |
0.982871 | − | 0.184292i | \(-0.0589993\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 5.97675 | + | 9.77392i | 0.421568 | + | 0.689399i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.167673 | − | 2.95007i | 0.0117683 | − | 0.207054i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.72592 | + | 0.254701i | −0.469758 | + | 0.0177891i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −7.48610 | − | 0.853731i | −0.520320 | − | 0.0593384i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.72996 | − | 8.19047i | −0.188836 | − | 0.566547i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.530613 | + | 0.798200i | 0.0365289 | + | 0.0549503i | 0.850593 | − | 0.525825i | \(-0.176243\pi\) |
−0.814064 | + | 0.580776i | \(0.802749\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 5.53087 | + | 22.0252i | 0.378969 | + | 1.50914i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.00268 | + | 1.78843i | −0.0683821 | + | 0.121970i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.28236 | − | 6.07070i | 0.0870525 | − | 0.412106i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 2.70387 | + | 2.75553i | 0.182710 | + | 0.186201i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.909218 | + | 1.48687i | −0.0611606 | + | 0.100017i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.78496 | + | 13.3949i | −0.119530 | + | 0.896986i | 0.824207 | + | 0.566289i | \(0.191621\pi\) |
−0.943737 | + | 0.330697i | \(0.892716\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 14.2497 | + | 9.08857i | 0.949977 | + | 0.605904i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 9.19734 | + | 6.36826i | 0.610449 | + | 0.422676i | 0.833804 | − | 0.552061i | \(-0.186159\pi\) |
−0.223354 | + | 0.974737i | \(0.571701\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.13129 | − | 0.990539i | −0.0747578 | − | 0.0654566i | 0.620560 | − | 0.784159i | \(-0.286905\pi\) |
−0.695318 | + | 0.718702i | \(0.744737\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −8.30240 | + | 5.74859i | −0.546258 | + | 0.378230i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.32294 | − | 13.9389i | −0.0866686 | − | 0.913168i | −0.927983 | − | 0.372622i | \(-0.878459\pi\) |
0.841315 | − | 0.540546i | \(-0.181782\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.91452 | − | 6.94319i | 0.190123 | − | 0.452924i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 17.6222 | + | 4.07231i | 1.14469 | + | 0.264525i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −3.76269 | + | 2.39988i | −0.243388 | + | 0.155235i | −0.653806 | − | 0.756662i | \(-0.726829\pi\) |
0.410418 | + | 0.911898i | \(0.365383\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.80058 | − | 4.78976i | −0.115986 | − | 0.308536i | 0.865252 | − | 0.501337i | \(-0.167158\pi\) |
−0.981238 | + | 0.192801i | \(0.938243\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 13.5049 | + | 17.3154i | 0.866338 | + | 1.11079i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.00653 | + | 3.44986i | 0.0643046 | + | 0.220404i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −14.6181 | − | 26.0735i | −0.930126 | − | 1.65902i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 5.88196 | + | 3.15292i | 0.372754 | + | 0.199808i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 10.1718 | − | 14.1123i | 0.642039 | − | 0.890762i | −0.357021 | − | 0.934096i | \(-0.616208\pi\) |
0.999061 | + | 0.0433343i | \(0.0137980\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.93823 | + | 1.13540i | −0.121855 | + | 0.0713819i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.283842 | + | 0.755053i | −0.0177749 | + | 0.0472833i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 13.5416 | + | 26.4529i | 0.844699 | + | 1.65009i | 0.756508 | + | 0.653984i | \(0.226904\pi\) |
0.0881912 | + | 0.996104i | \(0.471891\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.08360 | − | 8.40594i | 0.440153 | − | 0.522320i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.52346 | − | 1.89243i | 0.156199 | − | 0.117139i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 8.07758 | − | 0.921184i | 0.498085 | − | 0.0568027i | 0.139352 | − | 0.990243i | \(-0.455498\pi\) |
0.358733 | + | 0.933440i | \(0.383209\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.63570 | − | 6.51372i | 0.100480 | − | 0.400135i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 8.71092 | − | 3.85204i | 0.533100 | − | 0.235741i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 14.6225 | − | 11.8563i | 0.891548 | − | 0.722893i | −0.0699951 | − | 0.997547i | \(-0.522298\pi\) |
0.961543 | + | 0.274654i | \(0.0885634\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.249854 | + | 1.45269i | −0.0151775 | + | 0.0882446i | −0.992130 | − | 0.125213i | \(-0.960039\pi\) |
0.976952 | + | 0.213457i | \(0.0684724\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −24.4880 | + | 24.9558i | −1.48208 | + | 1.51040i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 5.02436 | − | 0.381077i | 0.302980 | − | 0.0229798i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −16.5315 | − | 8.07157i | −0.993282 | − | 0.484973i | −0.130990 | − | 0.991384i | \(-0.541815\pi\) |
−0.862293 | + | 0.506410i | \(0.830972\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 5.83760 | − | 3.12914i | 0.349488 | − | 0.187337i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.355865 | − | 2.06905i | −0.0212291 | − | 0.123429i | 0.972981 | − | 0.230887i | \(-0.0741628\pi\) |
−0.994210 | + | 0.107458i | \(0.965729\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.480369 | + | 8.45171i | 0.0285550 | + | 0.502402i | 0.980548 | + | 0.196281i | \(0.0628866\pi\) |
−0.951993 | + | 0.306121i | \(0.900969\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −8.91521 | − | 10.5795i | −0.528091 | − | 0.626674i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.648068 | + | 34.2395i | 0.0382542 | + | 2.02109i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.6033 | − | 2.53316i | −0.976664 | − | 0.149009i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.682449 | + | 7.19050i | −0.0400058 | + | 0.421515i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −28.6730 | + | 13.9997i | −1.67510 | + | 0.817871i | −0.678576 | + | 0.734531i | \(0.737402\pi\) |
−0.996521 | + | 0.0833408i | \(0.973441\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.67667 | + | 2.72118i | 0.446953 | + | 0.158433i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −2.04269 | − | 0.554249i | −0.118529 | − | 0.0321608i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −5.85140 | + | 5.12338i | −0.338395 | + | 0.296293i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 9.00123 | + | 5.27285i | 0.518822 | + | 0.303922i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −20.9681 | + | 4.84551i | −1.20459 | + | 0.278367i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −9.14634 | + | 3.63732i | −0.523718 | + | 0.208272i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.0140733 | + | 0.0335264i | 0.000803204 | + | 0.00191345i | 0.922460 | − | 0.386093i | \(-0.126176\pi\) |
−0.921657 | + | 0.388007i | \(0.873164\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.74634 | − | 3.01933i | −0.156234 | − | 0.171764i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 17.2635 | + | 6.86536i | 0.978924 | + | 0.389299i | 0.803572 | − | 0.595207i | \(-0.202930\pi\) |
0.175352 | + | 0.984506i | \(0.443894\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 19.7941 | + | 6.18389i | 1.11883 | + | 0.349534i | 0.801030 | − | 0.598624i | \(-0.204286\pi\) |
0.317797 | + | 0.948159i | \(0.397057\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −4.96691 | + | 7.47171i | −0.279854 | + | 0.420983i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 23.3162 | + | 1.76844i | 1.30957 | + | 0.0993254i | 0.711822 | − | 0.702360i | \(-0.247870\pi\) |
0.597746 | + | 0.801686i | \(0.296063\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.263380 | − | 0.902733i | 0.0147465 | − | 0.0505434i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −14.7951 | + | 28.9017i | −0.825782 | + | 1.61313i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.15790 | + | 2.76678i | −0.120069 | + | 0.153948i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 16.8371 | − | 4.56846i | 0.933955 | − | 0.253413i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −18.0962 | + | 38.9141i | −1.00072 | + | 2.15196i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −35.0396 | − | 15.4948i | −1.93179 | − | 0.854256i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.837922 | − | 6.28800i | −0.0460564 | − | 0.345620i | −0.999086 | − | 0.0427432i | \(-0.986390\pi\) |
0.953030 | − | 0.302877i | \(-0.0979471\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 11.7344 | 0.643042 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3.03457 | 0.165796 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.11955 | − | 30.9142i | −0.224406 | − | 1.68401i | −0.635255 | − | 0.772302i | \(-0.719105\pi\) |
0.410849 | − | 0.911703i | \(-0.365232\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 4.43445 | + | 1.96095i | 0.240846 | + | 0.106504i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.832631 | − | 1.79050i | 0.0450895 | − | 0.0969608i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.97803 | + | 1.62204i | −0.322783 | + | 0.0875817i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −2.21378 | + | 2.83843i | −0.119186 | + | 0.152816i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −15.4454 | + | 30.1721i | −0.829154 | + | 1.61972i | −0.0451374 | + | 0.998981i | \(0.514373\pi\) |
−0.784016 | + | 0.620740i | \(0.786832\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.73871 | + | 19.6694i | −0.307186 | + | 1.05288i | 0.649163 | + | 0.760649i | \(0.275119\pi\) |
−0.956349 | + | 0.292227i | \(0.905604\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −7.30718 | − | 0.554220i | −0.390028 | − | 0.0295821i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −7.38945 | + | 11.1159i | −0.393301 | + | 0.591641i | −0.975120 | − | 0.221677i | \(-0.928847\pi\) |
0.581820 | + | 0.813318i | \(0.302341\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.74146 | + | 1.79370i | 0.304725 | + | 0.0951995i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 3.81365 | + | 1.51661i | 0.201840 | + | 0.0802677i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −10.2274 | − | 11.2440i | −0.539780 | − | 0.593436i | 0.407754 | − | 0.913092i | \(-0.366312\pi\) |
−0.947534 | + | 0.319656i | \(0.896433\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.9389 | − | 37.9708i | −0.838889 | − | 1.99846i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 23.5361 | − | 9.35984i | 1.23532 | − | 0.491264i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.996317 | − | 0.230239i | 0.0521496 | − | 0.0120512i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 20.3131 | + | 11.8992i | 1.06033 | + | 0.621135i | 0.928953 | − | 0.370197i | \(-0.120710\pi\) |
0.131380 | + | 0.991332i | \(0.458059\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −27.5037 | + | 24.0818i | −1.43179 | + | 1.25365i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −32.9780 | − | 8.94801i | −1.71213 | − | 0.464557i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −25.6709 | − | 9.09967i | −1.32919 | − | 0.471163i | −0.427684 | − | 0.903928i | \(-0.640671\pi\) |
−0.901507 | + | 0.432765i | \(0.857538\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 15.2688 | − | 7.45505i | 0.788479 | − | 0.384977i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.307631 | − | 3.24130i | 0.0158438 | − | 0.166935i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.504284 | + | 0.0769384i | 0.0259033 | + | 0.00395206i | 0.163763 | − | 0.986500i | \(-0.447637\pi\) |
−0.137860 | + | 0.990452i | \(0.544022\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.930947 | − | 49.1849i | −0.0476939 | − | 2.51982i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 16.4205 | + | 19.4858i | 0.839047 | + | 0.995677i | 0.999962 | + | 0.00870907i | \(0.00277222\pi\) |
−0.160915 | + | 0.986968i | \(0.551445\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.151783 | + | 2.67051i | 0.00773560 | + | 0.136102i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.88759 | + | 10.9748i | 0.0959517 | + | 0.557879i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 31.2826 | − | 16.7685i | 1.58609 | − | 0.850198i | 0.586915 | − | 0.809649i | \(-0.300342\pi\) |
0.999178 | − | 0.0405490i | \(-0.0129107\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.820374 | + | 0.400550i | 0.0414881 | + | 0.0202567i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 31.7600 | − | 2.40887i | 1.60208 | − | 0.121511i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 3.35536 | − | 3.41947i | 0.168827 | − | 0.172052i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.29930 | + | 30.8110i | −0.265964 | + | 1.54636i | 0.478132 | + | 0.878288i | \(0.341314\pi\) |
−0.744096 | + | 0.668072i | \(0.767120\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −54.6765 | + | 44.3333i | −2.73725 | + | 2.21944i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 9.75140 | − | 4.31215i | 0.486962 | − | 0.215339i | −0.146354 | − | 0.989232i | \(-0.546754\pi\) |
0.633315 | + | 0.773894i | \(0.281694\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.66513 | − | 6.63091i | 0.0829458 | − | 0.330309i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 4.27752 | − | 0.487817i | 0.212552 | − | 0.0242398i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.79879 | − | 2.09891i | 0.138731 | − | 0.104039i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.41572 | + | 1.68000i | −0.0700028 | + | 0.0830707i | −0.798564 | − | 0.601910i | \(-0.794406\pi\) |
0.728561 | + | 0.684981i | \(0.240190\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.60034 | + | 7.03312i | 0.177592 | + | 0.346918i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 14.5818 | − | 38.7894i | 0.717526 | − | 1.90870i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.52528 | − | 0.893498i | 0.0748731 | − | 0.0438601i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −29.1651 | + | 40.4635i | −1.42822 | + | 1.98151i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −5.62711 | − | 3.01632i | −0.274903 | − | 0.147357i | 0.329208 | − | 0.944258i | \(-0.393218\pi\) |
−0.604110 | + | 0.796901i | \(0.706471\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.64951 | − | 8.29309i | −0.226603 | − | 0.404180i | 0.735230 | − | 0.677818i | \(-0.237074\pi\) |
−0.961833 | + | 0.273638i | \(0.911773\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −11.4548 | − | 39.2612i | −0.556952 | − | 1.90895i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −1.25943 | − | 1.61479i | −0.0610913 | − | 0.0783290i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 17.6225 | + | 46.8779i | 0.852812 | + | 2.26858i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −9.38138 | + | 5.98353i | −0.452937 | + | 0.288888i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 17.3643 | + | 4.01272i | 0.836411 | + | 0.193286i | 0.621565 | − | 0.783362i | \(-0.286497\pi\) |
0.214845 | + | 0.976648i | \(0.431075\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −5.38277 | + | 12.8232i | −0.258679 | + | 0.616244i | −0.998393 | − | 0.0566781i | \(-0.981949\pi\) |
0.739713 | + | 0.672922i | \(0.234961\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.142382 | − | 1.50019i | −0.00682671 | − | 0.0719285i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −12.8734 | + | 8.91355i | −0.615817 | + | 0.426393i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.866088 | − | 0.758332i | −0.0413361 | − | 0.0361932i | 0.637836 | − | 0.770172i | \(-0.279830\pi\) |
−0.679172 | + | 0.733979i | \(0.737661\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 16.0472 | + | 11.1111i | 0.764151 | + | 0.529100i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 27.8462 | + | 17.7606i | 1.32301 | + | 0.843829i | 0.994906 | − | 0.100812i | \(-0.0321440\pi\) |
0.328106 | + | 0.944641i | \(0.393590\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.333244 | − | 2.50075i | 0.0157973 | − | 0.118547i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 10.2869 | − | 16.8225i | 0.486555 | − | 0.795675i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 24.3688 | + | 24.8344i | 1.15004 | + | 1.17201i | 0.982524 | + | 0.186138i | \(0.0595972\pi\) |
0.167511 | + | 0.985870i | \(0.446427\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.25250 | + | 10.6633i | −0.106066 | + | 0.502116i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.99991 | − | 3.56713i | 0.0939639 | − | 0.167598i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 2.25557 | + | 8.98221i | 0.105743 | + | 0.421092i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.91364 | + | 8.89587i | 0.276628 | + | 0.416131i | 0.944685 | − | 0.327979i | \(-0.106368\pi\) |
−0.668057 | + | 0.744110i | \(0.732874\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.272003 | + | 0.816068i | 0.0126960 | + | 0.0380908i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 27.1600 | + | 3.09738i | 1.26497 | + | 0.144259i | 0.719867 | − | 0.694112i | \(-0.244203\pi\) |
0.545099 | + | 0.838372i | \(0.316492\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 20.4800 | − | 0.775550i | 0.951788 | − | 0.0360429i | 0.442619 | − | 0.896710i | \(-0.354049\pi\) |
0.509169 | + | 0.860667i | \(0.329953\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.179559 | − | 3.15921i | 0.00832687 | − | 0.146505i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −18.6146 | − | 30.4409i | −0.861380 | − | 1.40863i | −0.912120 | − | 0.409923i | \(-0.865556\pi\) |
0.0507400 | − | 0.998712i | \(-0.483842\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.292183 | − | 15.4369i | 0.0134918 | − | 0.712812i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 15.7981 | − | 5.60000i | 0.727937 | − | 0.258034i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 2.41325 | + | 2.27998i | 0.110961 | + | 0.104834i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 34.7217 | − | 5.29747i | 1.59314 | − | 0.243065i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −15.3808 | − | 33.0749i | −0.704238 | − | 1.51440i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 31.9110 | + | 1.20842i | 1.45805 | + | 0.0552143i | 0.754905 | − | 0.655834i | \(-0.227683\pi\) |
0.703143 | + | 0.711048i | \(0.251779\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.15018 | − | 8.96033i | 0.371616 | − | 0.408556i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 14.2260 | + | 11.5349i | 0.647306 | + | 0.524855i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.53058 | + | 1.14783i | 0.0695000 | + | 0.0521204i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −25.0487 | + | 4.79796i | −1.13507 | + | 0.217416i | −0.721070 | − | 0.692862i | \(-0.756349\pi\) |
−0.413997 | + | 0.910278i | \(0.635868\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −21.2083 | − | 4.06235i | −0.959074 | − | 0.183706i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 1.93532 | + | 9.16181i | 0.0873400 | + | 0.413467i | 0.999989 | + | 0.00472219i | \(0.00150313\pi\) |
−0.912649 | + | 0.408744i | \(0.865967\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.364796 | + | 0.113967i | −0.0164296 | + | 0.00513279i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −2.07552 | + | 1.96090i | −0.0932875 | + | 0.0881359i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 9.67740 | − | 29.0343i | 0.434091 | − | 1.30236i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −16.1029 | − | 22.3411i | −0.720865 | − | 1.00012i | −0.999214 | − | 0.0396442i | \(-0.987378\pi\) |
0.278349 | − | 0.960480i | \(-0.410213\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 19.5091 | − | 27.2726i | 0.871603 | − | 1.21845i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −17.8658 | − | 24.7869i | −0.796597 | − | 1.10519i | −0.992218 | − | 0.124515i | \(-0.960263\pi\) |
0.195621 | − | 0.980680i | \(-0.437328\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.80250 | + | 5.40787i | −0.0802100 | + | 0.240647i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −3.48427 | + | 3.29186i | −0.154742 | + | 0.146196i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 34.5730 | − | 10.8010i | 1.53242 | − | 0.478746i | 0.588384 | − | 0.808582i | \(-0.299765\pi\) |
0.944038 | + | 0.329836i | \(0.106993\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.07530 | − | 5.09046i | −0.0475685 | − | 0.225189i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −14.4902 | − | 2.77553i | −0.639758 | − | 0.122542i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −1.06180 | + | 0.203382i | −0.0467885 | + | 0.00896209i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −9.75468 | − | 7.31536i | −0.429010 | − | 0.321729i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 14.2706 | + | 11.5710i | 0.626411 | + | 0.507912i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −12.0305 | + | 13.2264i | −0.527067 | + | 0.579460i | −0.944194 | − | 0.329388i | \(-0.893157\pi\) |
0.417127 | + | 0.908848i | \(0.363037\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 29.3291 | + | 1.11065i | 1.28247 | + | 0.0485654i | 0.670258 | − | 0.742128i | \(-0.266183\pi\) |
0.612212 | + | 0.790693i | \(0.290280\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −17.3233 | − | 37.2521i | −0.756049 | − | 1.62581i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.793345 | + | 0.121040i | −0.0345586 | + | 0.00527260i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.7572 | − | 12.9975i | −0.598138 | − | 0.565107i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 41.6942 | − | 14.7795i | 1.80937 | − | 0.641375i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.714092 | + | 37.7277i | −0.0309308 | + | 1.63417i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.48664 | + | 7.33710i | 0.193974 | + | 0.317211i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.867055 | + | 15.2552i | −0.0374162 | + | 0.658309i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 5.81485 | − | 0.220200i | 0.250463 | − | 0.00948470i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −19.2562 | − | 2.19602i | −0.827888 | − | 0.0944141i | −0.310938 | − | 0.950430i | \(-0.600643\pi\) |
−0.516949 | + | 0.856016i | \(0.672932\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −3.36484 | − | 10.0952i | −0.144399 | − | 0.433228i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 6.29306 | + | 9.46664i | 0.269565 | + | 0.405506i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.9889 | + | 43.7602i | 0.469850 | + | 1.87105i | 0.490802 | + | 0.871271i | \(0.336704\pi\) |
−0.0209517 | + | 0.999780i | \(0.506670\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −26.1440 | + | 46.6317i | −1.11580 | + | 1.99019i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.35476 | − | 6.41343i | 0.0577148 | − | 0.273221i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −17.0719 | − | 17.3981i | −0.725971 | − | 0.739842i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.92465 | − | 4.78275i | 0.124145 | − | 0.203017i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3.91055 | − | 29.3459i | 0.165695 | − | 1.24342i | −0.689180 | − | 0.724590i | \(-0.742029\pi\) |
0.854875 | − | 0.518834i | \(-0.173634\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.69130 | + | 6.18120i | 0.409898 | + | 0.261437i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.07385 | + | 0.743536i | 0.0453380 | + | 0.0313921i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 30.9466 | + | 27.0963i | 1.30424 | + | 1.14197i | 0.980648 | + | 0.195779i | \(0.0627234\pi\) |
0.323597 | + | 0.946195i | \(0.395108\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.05590 | − | 0.731107i | 0.0444221 | − | 0.0307579i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −2.06968 | − | 21.8068i | −0.0869184 | − | 0.915801i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 12.5823 | − | 29.9745i | 0.527478 | − | 1.25659i | −0.411120 | − | 0.911581i | \(-0.634862\pi\) |
0.938598 | − | 0.345013i | \(-0.112126\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.2231 | − | 3.74899i | −0.678915 | − | 0.156890i | −0.128409 | − | 0.991721i | \(-0.540987\pi\) |
−0.550506 | + | 0.834831i | \(0.685565\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −36.3540 | + | 23.1869i | −1.51871 | + | 0.968648i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −3.21570 | − | 8.55414i | −0.134104 | − | 0.356733i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −18.3055 | − | 23.4707i | −0.762070 | − | 0.977098i | −0.999983 | − | 0.00581146i | \(-0.998150\pi\) |
0.237913 | − | 0.971286i | \(-0.423537\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −2.98743 | − | 10.2394i | −0.124154 | − | 0.425535i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −4.39839 | − | 7.84518i | −0.182476 | − | 0.325473i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −9.58454 | − | 5.13763i | −0.396951 | − | 0.212779i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −5.78056 | + | 8.01992i | −0.238997 | + | 0.331583i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −39.7603 | + | 23.2913i | −1.64108 | + | 0.961334i | −0.664200 | + | 0.747555i | \(0.731228\pi\) |
−0.976882 | + | 0.213779i | \(0.931423\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.84342 | − | 12.8841i | 0.199569 | − | 0.530878i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −16.5558 | − | 32.3412i | −0.681016 | − | 1.33034i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −6.16470 | + | 7.31551i | −0.253154 | + | 0.300412i | −0.876371 | − | 0.481637i | \(-0.840042\pi\) |
0.623217 | + | 0.782049i | \(0.285825\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.869706 | − | 0.652222i | 0.0356545 | − | 0.0267385i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −14.7553 | + | 1.68273i | −0.603894 | + | 0.0688694i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 2.97573 | − | 11.8500i | 0.121585 | − | 0.484179i | −0.878396 | − | 0.477934i | \(-0.841386\pi\) |
0.999980 | − | 0.00624497i | \(-0.00198785\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 33.2171 | − | 14.6889i | 1.35495 | − | 0.599172i | 0.405793 | − | 0.913965i | \(-0.366995\pi\) |
0.949160 | + | 0.314793i | \(0.101935\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 12.8021 | − | 10.3803i | 0.521341 | − | 0.422719i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.13722 | − | 6.61199i | 0.0462346 | − | 0.268815i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −18.1556 | + | 18.5025i | −0.736915 | + | 0.750995i | −0.975470 | − | 0.220134i | \(-0.929350\pi\) |
0.238555 | + | 0.971129i | \(0.423326\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −7.64520 | + | 0.579858i | −0.309799 | + | 0.0234970i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −37.9356 | − | 18.5222i | −1.53471 | − | 0.749328i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 13.2654 | − | 7.11069i | 0.535784 | − | 0.287198i | −0.182195 | − | 0.983262i | \(-0.558320\pi\) |
0.717979 | + | 0.696064i | \(0.245067\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 2.96038 | + | 17.2121i | 0.119374 | + | 0.694060i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −0.902893 | − | 15.8857i | −0.0363491 | − | 0.639534i | −0.963970 | − | 0.266011i | \(-0.914294\pi\) |
0.927621 | − | 0.373523i | \(-0.121850\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −31.6936 | − | 37.6101i | −1.27387 | − | 1.51168i | −0.752959 | − | 0.658068i | \(-0.771374\pi\) |
−0.520915 | − | 0.853609i | \(-0.674409\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.0726437 | + | 3.83799i | 0.00291509 | + | 0.154013i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −12.6893 | − | 1.93601i | −0.508387 | − | 0.0775644i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.71371 | + | 18.0562i | −0.0685485 | + | 0.722249i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −20.1307 | + | 9.82886i | −0.803941 | + | 0.392527i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.34010 | − | 0.475032i | −0.0534335 | − | 0.0189408i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −33.4699 | − | 9.08148i | −1.33242 | − | 0.361528i | −0.476742 | − | 0.879043i | \(-0.658182\pi\) |
−0.855674 | + | 0.517515i | \(0.826857\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 1.87115 | − | 1.63834i | 0.0743715 | − | 0.0651184i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −11.2433 | − | 6.58621i | −0.446175 | − | 0.261366i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 19.6300 | − | 4.53629i | 0.777768 | − | 0.179734i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 30.3574 | − | 12.0726i | 1.20092 | − | 0.477583i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.939261 | − | 2.23757i | −0.0370986 | − | 0.0883789i | 0.902450 | − | 0.430795i | \(-0.141767\pi\) |
−0.939548 | + | 0.342416i | \(0.888755\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 11.8122 | + | 12.9863i | 0.465827 | + | 0.512131i | 0.926940 | − | 0.375210i | \(-0.122429\pi\) |
−0.461113 | + | 0.887341i | \(0.652550\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.94359 | + | 1.96597i | 0.194654 | + | 0.0774100i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −20.7221 | − | 6.47381i | −0.814669 | − | 0.254512i | −0.137653 | − | 0.990480i | \(-0.543956\pi\) |
−0.677016 | + | 0.735969i | \(0.736727\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 7.30097 | − | 10.9828i | 0.286588 | − | 0.431114i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −16.0537 | − | 1.21761i | −0.629194 | − | 0.0477218i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −8.84150 | + | 30.3041i | −0.345994 | + | 1.18589i | 0.581966 | + | 0.813213i | \(0.302284\pi\) |
−0.927960 | + | 0.372680i | \(0.878439\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.84439 | − | 7.50987i | 0.150213 | − | 0.293435i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 3.41564 | − | 4.37940i | 0.133257 | − | 0.170857i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −4.13341 | + | 1.12153i | −0.161015 | + | 0.0436886i | −0.341459 | − | 0.939897i | \(-0.610921\pi\) |
0.180444 | + | 0.983585i | \(0.442246\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.0648022 | − | 0.139351i | 0.00252051 | − | 0.00542013i | −0.905487 | − | 0.424373i | \(-0.860494\pi\) |
0.908008 | + | 0.418953i | \(0.137603\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 4.13593 | + | 1.82894i | 0.160626 | + | 0.0710303i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 2.46283 | + | 18.4818i | 0.0955044 | + | 0.716692i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.70550 | −0.0660374 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 35.0641 | 1.35566 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.10527 | + | 15.7985i | 0.0812729 | + | 0.609895i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −12.4433 | − | 5.50251i | −0.479652 | − | 0.212106i | 0.150451 | − | 0.988617i | \(-0.451927\pi\) |
−0.630104 | + | 0.776511i | \(0.716988\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 3.63085 | − | 7.80781i | 0.139752 | − | 0.300523i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −12.9525 | + | 3.51444i | −0.497806 | + | 0.135071i | −0.501909 | − | 0.864920i | \(-0.667369\pi\) |
0.00410280 | + | 0.999992i | \(0.498694\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 5.98643 | − | 7.67558i | 0.229738 | − | 0.294562i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 13.2272 | − | 25.8388i | 0.506866 | − | 0.990144i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 9.67319 | − | 33.1548i | 0.370134 | − | 1.26863i | −0.535486 | − | 0.844544i | \(-0.679872\pi\) |
0.905621 | − | 0.424088i | \(-0.139405\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.08683 | + | 0.158278i | 0.0797337 | + | 0.00604748i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −2.15998 | + | 3.24925i | −0.0824082 | + | 0.123966i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −35.9386 | − | 11.2276i | −1.36915 | − | 0.427739i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.96200 | + | 1.17793i | 0.112680 | + | 0.0448105i | 0.425192 | − | 0.905103i | \(-0.360207\pi\) |
−0.312512 | + | 0.949914i | \(0.601171\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 9.77531 | + | 10.7470i | 0.371333 | + | 0.408245i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 5.11363 | + | 12.1821i | 0.193971 | + | 0.462092i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.11588 | − | 1.63680i | 0.155900 | − | 0.0619984i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −35.3982 | + | 8.18016i | −1.33888 | + | 0.309402i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −27.9464 | − | 16.3708i | −1.05552 | − | 0.618316i | −0.127880 | − | 0.991790i | \(-0.540817\pi\) |
−0.927641 | + | 0.373473i | \(0.878167\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 18.3469 | − | 16.0642i | 0.691967 | − | 0.605875i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −18.8572 | − | 5.11658i | −0.710203 | − | 0.192701i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 27.3364 | + | 9.69005i | 1.02809 | + | 0.364432i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −39.5453 | + | 19.3081i | −1.48516 | + | 0.725132i | −0.989654 | − | 0.143475i | \(-0.954172\pi\) |
−0.495502 | + | 0.868607i | \(0.665016\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.45850 | − | 25.9035i | 0.0922009 | − | 0.971459i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −3.54032 | − | 0.540145i | −0.132586 | − | 0.0202286i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.0557756 | + | 2.94680i | 0.00208589 | + | 0.110204i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 7.46227 | + | 8.85530i | 0.278684 | + | 0.330707i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −0.318918 | − | 5.61111i | −0.0118936 | − | 0.209259i | −0.998838 | − | 0.0481968i | \(-0.984653\pi\) |
0.986944 | − | 0.161062i | \(-0.0514920\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.932376 | + | 5.42099i | 0.0347235 | + | 0.201888i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −11.7024 | + | 6.27286i | −0.435216 | + | 0.233290i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 3.43782 | + | 1.67853i | 0.127677 | + | 0.0623389i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.4373 | + | 1.09501i | −0.535451 | + | 0.0406118i | −0.340577 | − | 0.940217i | \(-0.610622\pi\) |
−0.194874 | + | 0.980828i | \(0.562430\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 26.7460 | − | 27.2570i | 0.990592 | − | 1.00952i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.228711 | − | 1.32976i | 0.00845919 | − | 0.0491831i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −20.8780 | + | 16.9285i | −0.771145 | + | 0.625267i | −0.932310 | − | 0.361660i | \(-0.882210\pi\) |
0.161164 | + | 0.986928i | \(0.448475\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 8.52825 | − | 3.77127i | 0.314569 | − | 0.139105i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1.19674 | − | 4.76571i | 0.0440826 | − | 0.175547i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 43.7111 | − | 4.98491i | 1.60794 | − | 0.183373i | 0.737394 | − | 0.675463i | \(-0.236056\pi\) |
0.870544 | + | 0.492090i | \(0.163767\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −62.0523 | + | 46.5351i | −2.27955 | + | 1.70951i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.20878 | + | 1.43443i | −0.0443458 | + | 0.0526242i | −0.786411 | − | 0.617703i | \(-0.788063\pi\) |
0.742065 | + | 0.670328i | \(0.233846\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.37998 | − | 4.64921i | −0.0871958 | − | 0.170334i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 3.37840 | − | 8.98695i | 0.123609 | − | 0.328815i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 37.7561 | − | 22.1172i | 1.37958 | − | 0.808145i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 21.0067 | − | 29.1446i | 0.766546 | − | 1.06350i | −0.229381 | − | 0.973337i | \(-0.573670\pi\) |
0.995927 | − | 0.0901655i | \(-0.0287396\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −39.7840 | − | 21.3255i | −1.44981 | − | 0.777146i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.529731 | − | 0.944854i | −0.0192789 | − | 0.0343868i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −6.37968 | − | 21.8663i | −0.231873 | − | 0.794744i | −0.989807 | − | 0.142413i | \(-0.954514\pi\) |
0.757934 | − | 0.652331i | \(-0.226209\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 3.58462 | + | 4.59607i | 0.130114 | + | 0.166827i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 10.5749 | + | 28.1304i | 0.383339 | + | 1.01973i | 0.976666 | + | 0.214765i | \(0.0688984\pi\) |
−0.593327 | + | 0.804961i | \(0.702186\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 48.7630 | − | 31.1015i | 1.76534 | − | 1.12595i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 1.13066 | + | 0.261284i | 0.0408791 | + | 0.00944675i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 17.6733 | − | 42.1026i | 0.638146 | − | 1.52024i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.81369 | + | 40.1823i | 0.137525 | + | 1.44901i | 0.751524 | + | 0.659705i | \(0.229319\pi\) |
−0.613999 | + | 0.789307i | \(0.710440\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 63.3971 | − | 43.8962i | 2.28319 | − | 1.58088i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 14.5023 | + | 12.6980i | 0.521613 | + | 0.456715i | 0.878712 | − | 0.477351i | \(-0.158403\pi\) |
−0.357100 | + | 0.934066i | \(0.616234\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.60468 | + | 4.57309i | 0.237247 | + | 0.164270i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −24.0484 | − | 15.3383i | −0.862732 | − | 0.550259i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −10.0349 | + | 75.3043i | −0.359536 | + | 2.69806i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5.08121 | − | 8.30942i | 0.181820 | − | 0.297334i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.12551 | − | 1.14702i | −0.0402225 | − | 0.0409910i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.917582 | − | 4.34383i | 0.0327499 | − | 0.155038i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 17.1049 | − | 30.5092i | 0.609725 | − | 1.08754i | −0.377165 | − | 0.926146i | \(-0.623101\pi\) |
0.986891 | − | 0.161390i | \(-0.0515976\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −5.13789 | − | 20.4603i | −0.182914 | − | 0.728404i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −3.61750 | − | 5.44179i | −0.128623 | − | 0.193488i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 17.4493 | + | 52.3516i | 0.619643 | + | 1.85906i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −17.3143 | − | 1.97456i | −0.614074 | − | 0.0700303i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −50.7748 | + | 1.92277i | −1.79854 | + | 0.0681080i | −0.915770 | − | 0.401704i | \(-0.868418\pi\) |
−0.882767 | + | 0.469812i | \(0.844322\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.281198 | + | 4.94746i | −0.00994808 | + | 0.175029i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −7.14842 | − | 11.6900i | −0.252577 | − | 0.413045i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0.0313342 | − | 1.65549i | 0.00110576 | − | 0.0584208i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.57242 | − | 1.62080i | 0.161157 | − | 0.0571258i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −35.5069 | − | 33.5461i | −1.24990 | − | 1.18088i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 23.0736 | − | 3.52033i | 0.811225 | − | 0.123768i | 0.268069 | − | 0.963400i | \(-0.413615\pi\) |
0.543156 | + | 0.839632i | \(0.317229\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 11.3518 | + | 24.4109i | 0.398615 | + | 0.857184i | 0.998374 | + | 0.0570035i | \(0.0181546\pi\) |
−0.599759 | + | 0.800181i | \(0.704737\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.82203 | + | 0.144735i | 0.134045 | + | 0.00507608i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −3.84866 | + | 4.23123i | −0.134813 | + | 0.148213i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 17.9756 | + | 14.5751i | 0.628886 | + | 0.509919i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 40.2410 | + | 30.1781i | 1.40613 | + | 1.05451i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 6.00413 | − | 1.15006i | 0.209546 | − | 0.0401374i | −0.0822785 | − | 0.996609i | \(-0.526220\pi\) |
0.291824 | + | 0.956472i | \(0.405738\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.87222 | + | 0.550159i | 0.100119 | + | 0.0191773i | 0.237940 | − | 0.971280i | \(-0.423528\pi\) |
−0.137821 | + | 0.990457i | \(0.544010\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −2.70223 | − | 12.7923i | −0.0940794 | − | 0.445371i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 16.7949 | − | 5.24691i | 0.584016 | − | 0.182453i | 0.00810691 | − | 0.999967i | \(-0.497419\pi\) |
0.575909 | + | 0.817514i | \(0.304648\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −22.0274 | + | 20.8110i | −0.765043 | + | 0.722795i | −0.966490 | − | 0.256705i | \(-0.917363\pi\) |
0.201447 | + | 0.979499i | \(0.435436\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −15.0944 | + | 45.2864i | −0.523619 | + | 1.57097i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −1.38284 | − | 1.91854i | −0.0479124 | − | 0.0664735i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.46710 | − | 8.17725i | −0.119984 | − | 0.282985i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1.97309 | − | 2.73745i | −0.0682000 | − | 0.0946203i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −3.46458 | + | 10.3945i | −0.119610 | + | 0.358857i | −0.991373 | − | 0.131072i | \(-0.958158\pi\) |
0.871762 | + | 0.489929i | \(0.162977\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.5609 | + | 19.4255i | −0.708996 | + | 0.669844i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −5.19975 | + | 1.62446i | −0.179089 | + | 0.0559494i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0.262410 | + | 1.24225i | 0.00902717 | + | 0.0427345i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −33.5259 | − | 6.42171i | −1.15196 | − | 0.220652i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 21.5736 | − | 4.13232i | 0.740405 | − | 0.141821i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −5.07604 | − | 3.80669i | −0.174004 | − | 0.130492i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.63884 | + | 2.13965i | 0.0903520 | + | 0.0732601i | 0.673920 | − | 0.738804i | \(-0.264609\pi\) |
−0.583568 | + | 0.812064i | \(0.698344\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −13.3924 | + | 14.7237i | −0.458012 | + | 0.503540i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −3.85404 | − | 0.145947i | −0.131652 | − | 0.00498546i | −0.0280665 | − | 0.999606i | \(-0.508935\pi\) |
−0.103585 | + | 0.994621i | \(0.533031\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1.00803 | + | 2.16768i | 0.0343936 | + | 0.0739602i | 0.923194 | − | 0.384334i | \(-0.125569\pi\) |
−0.888800 | + | 0.458294i | \(0.848461\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 87.8436 | − | 13.4023i | 2.99370 | − | 0.456748i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 16.2136 | + | 15.3182i | 0.551916 | + | 0.521438i | 0.911295 | − | 0.411754i | \(-0.135084\pi\) |
−0.359379 | + | 0.933192i | \(0.617011\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.58676 | − | 1.62589i | 0.155955 | − | 0.0552818i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.824725 | + | 43.5728i | −0.0280091 | + | 1.47981i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −4.04693 | − | 6.61804i | −0.137283 | − | 0.224502i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.965390 | − | 16.9853i | 0.0327110 | − | 0.575524i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 10.3835 | − | 0.393209i | 0.351428 | − | 0.0133081i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −22.7518 | − | 2.59467i | −0.769152 | − | 0.0877157i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 8.72694 | + | 26.1827i | 0.294688 | + | 0.884126i | 0.986744 | + | 0.162283i | \(0.0518857\pi\) |
−0.692056 | + | 0.721843i | \(0.743295\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 45.8356 | + | 68.9503i | 1.54599 | + | 2.32564i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 12.8873 | + | 51.3201i | 0.434183 | + | 1.72902i | 0.656757 | + | 0.754102i | \(0.271928\pi\) |
−0.222574 | + | 0.974916i | \(0.571446\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.99341 | + | 12.4738i | −0.235347 | + | 0.419776i | −0.964310 | − | 0.264777i | \(-0.914702\pi\) |
0.728963 | + | 0.684554i | \(0.240003\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 4.36787 | − | 20.6775i | 0.146824 | − | 0.695066i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 27.6216 | + | 28.1493i | 0.927442 | + | 0.945162i | 0.998631 | − | 0.0523006i | \(-0.0166554\pi\) |
−0.0711895 | + | 0.997463i | \(0.522680\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −34.5868 | + | 56.5606i | −1.16000 | + | 1.89698i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.920822 | − | 6.91010i | 0.0308487 | − | 0.231497i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −71.6578 | − | 45.7040i | −2.39794 | − | 1.52943i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3.32749 | + | 2.30396i | 0.111226 | + | 0.0770129i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 15.1832 | + | 13.2941i | 0.506951 | + | 0.443877i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1.23261 | − | 0.853459i | 0.0411098 | − | 0.0284645i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.417593 | + | 4.39990i | 0.0139121 | + | 0.146582i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 10.4769 | − | 24.9589i | 0.348651 | − | 0.830580i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −2.74625 | − | 0.634631i | −0.0912886 | − | 0.0210959i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 9.75799 | − | 6.22374i | 0.324009 | − | 0.206656i | −0.365718 | − | 0.930726i | \(-0.619177\pi\) |
0.689727 | + | 0.724070i | \(0.257731\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 10.8943 | + | 28.9802i | 0.361342 | + | 0.961213i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 18.0026 | + | 23.0822i | 0.596452 | + | 0.764749i | 0.987839 | − | 0.155477i | \(-0.0496915\pi\) |
−0.391387 | + | 0.920226i | \(0.628005\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.801689 | − | 2.74778i | −0.0265320 | − | 0.0909383i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 12.4902 | + | 22.2782i | 0.412915 | + | 0.736495i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −37.8328 | − | 20.2796i | −1.24935 | − | 0.669692i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −33.6134 | + | 46.6351i | −1.10880 | + | 1.53835i | −0.296576 | + | 0.955009i | \(0.595845\pi\) |
−0.812228 | + | 0.583340i | \(0.801745\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.0814081 | − | 0.0476882i | 0.00268249 | − | 0.00157138i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 11.8663 | − | 31.5658i | 0.390585 | − | 1.03900i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.48539 | + | 12.6690i | 0.213238 | + | 0.416553i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −3.78376 | + | 4.49010i | −0.124275 | + | 0.147474i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −24.4398 | + | 18.3282i | −0.801842 | + | 0.601329i | −0.920113 | − | 0.391653i | \(-0.871903\pi\) |
0.118271 | + | 0.992981i | \(0.462265\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 40.3009 | − | 4.59600i | 1.32081 | − | 0.150628i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 11.7411 | − | 46.7558i | 0.384386 | − | 1.53072i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0.316411 | − | 0.139920i | 0.0103477 | − | 0.00457586i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 41.1532 | − | 33.3682i | 1.34441 | − | 1.09009i | 0.356634 | − | 0.934244i | \(-0.383924\pi\) |
0.987781 | − | 0.155846i | \(-0.0498105\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 9.12099 | − | 53.0309i | 0.297652 | − | 1.73060i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −0.0780944 | + | 0.0795865i | −0.00254580 | + | 0.00259445i | −0.715038 | − | 0.699086i | \(-0.753591\pi\) |
0.712492 | + | 0.701680i | \(0.247566\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 19.7097 | − | 1.49490i | 0.641835 | − | 0.0486806i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 4.10753 | + | 2.00551i | 0.133618 | + | 0.0652394i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −20.3087 | + | 10.8861i | −0.659945 | + | 0.353752i | −0.768052 | − | 0.640387i | \(-0.778774\pi\) |
0.108108 | + | 0.994139i | \(0.465521\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.971746 | − | 5.64989i | −0.0315442 | − | 0.183403i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −3.44299 | − | 60.5766i | −0.111646 | − | 1.96433i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 13.4520 | + | 15.9632i | 0.435754 | + | 0.517099i | 0.937533 | − | 0.347897i | \(-0.113104\pi\) |
−0.501779 | + | 0.864996i | \(0.667321\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.216138 | + | 11.4192i | 0.00699405 | + | 0.369517i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −2.41215 | − | 0.368021i | −0.0779738 | − | 0.0118964i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 1.00609 | − | 10.6005i | 0.0324884 | − | 0.342309i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −25.0279 | + | 12.2200i | −0.807353 | + | 0.394193i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 44.0259 | + | 15.6060i | 1.41872 | + | 0.502897i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −2.72668 | − | 0.739837i | −0.0877749 | − | 0.0238162i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 12.8206 | − | 11.2255i | 0.412281 | − | 0.360986i | −0.427403 | − | 0.904061i | \(-0.640571\pi\) |
0.839684 | + | 0.543075i | \(0.182740\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 7.85593 | + | 4.60195i | 0.252369 | + | 0.147836i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 10.1594 | − | 2.34772i | 0.326029 | − | 0.0753420i | −0.0589675 | − | 0.998260i | \(-0.518781\pi\) |
0.384997 | + | 0.922918i | \(0.374203\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 62.4629 | − | 24.8403i | 2.00247 | − | 0.796342i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −17.5212 | − | 41.7402i | −0.561127 | − | 1.33676i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 8.93736 | + | 9.82577i | 0.285932 | + | 0.314354i | 0.865834 | − | 0.500332i | \(-0.166789\pi\) |
−0.579902 | + | 0.814686i | \(0.696909\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.79594 | − | 1.50957i | −0.121319 | − | 0.0482461i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 58.9313 | + | 18.4108i | 1.88153 | + | 0.587811i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 6.18428 | − | 9.30300i | 0.197248 | − | 0.296720i | −0.720836 | − | 0.693106i | \(-0.756242\pi\) |
0.918084 | + | 0.396386i | \(0.129736\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −9.59610 | − | 0.727825i | −0.305757 | − | 0.0231904i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −27.8438 | + | 95.4345i | −0.886279 | + | 3.03771i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.74373 | − | 5.35977i | 0.0872455 | − | 0.170431i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.30753 | + | 4.24079i | −0.105067 | + | 0.134713i | −0.838180 | − | 0.545394i | \(-0.816380\pi\) |
0.733113 | + | 0.680107i | \(0.238067\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −15.8859 | + | 4.31036i | −0.504124 | + | 0.136785i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1.65870 | + | 3.56687i | −0.0525842 | + | 0.113078i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.4540 | + | 5.50725i | 0.394421 | + | 0.174416i | 0.592126 | − | 0.805845i | \(-0.298289\pi\) |
−0.197705 | + | 0.980262i | \(0.563349\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.789679 | − | 5.92597i | −0.0249843 | − | 0.187489i |
(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 | 668.2.e.a.9.3 | ✓ | 1148 | |
167.130 | even | 83 | inner | 668.2.e.a.297.3 | yes | 1148 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
668.2.e.a.9.3 | ✓ | 1148 | 1.1 | even | 1 | trivial | |
668.2.e.a.297.3 | yes | 1148 | 167.130 | even | 83 | inner |