Newspace parameters
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bn (of order \(42\), degree \(12\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 5.6 | ||
Character | \(\chi\) | \(=\) | 441.5 |
Dual form | 441.2.bn.a.353.6 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.86842 | + | 1.49001i | −1.32117 | + | 1.05360i | −0.327086 | + | 0.944995i | \(0.606067\pi\) |
−0.994085 | + | 0.108604i | \(0.965362\pi\) | |||||||
\(3\) | −1.41768 | + | 0.995078i | −0.818499 | + | 0.574509i | ||||
\(4\) | 0.825803 | − | 3.61808i | 0.412901 | − | 1.80904i | ||||
\(5\) | −1.88505 | − | 1.28520i | −0.843018 | − | 0.574760i | 0.0629931 | − | 0.998014i | \(-0.479935\pi\) |
−0.906011 | + | 0.423254i | \(0.860888\pi\) | |||||||
\(6\) | 1.16614 | − | 3.97158i | 0.476075 | − | 1.62139i | ||||
\(7\) | −0.922050 | + | 2.47988i | −0.348502 | + | 0.937308i | ||||
\(8\) | 1.77425 | + | 3.68427i | 0.627293 | + | 1.30259i | ||||
\(9\) | 1.01964 | − | 2.82141i | 0.339880 | − | 0.940469i | ||||
\(10\) | 5.43702 | − | 0.407448i | 1.71934 | − | 0.128846i | ||||
\(11\) | −0.775241 | − | 5.14339i | −0.233744 | − | 1.55079i | −0.730507 | − | 0.682905i | \(-0.760716\pi\) |
0.496763 | − | 0.867886i | \(-0.334522\pi\) | |||||||
\(12\) | 2.42955 | + | 5.95102i | 0.701349 | + | 1.71791i | ||||
\(13\) | 0.0919355 | + | 0.609952i | 0.0254983 | + | 0.169170i | 0.997956 | − | 0.0639108i | \(-0.0203573\pi\) |
−0.972457 | + | 0.233081i | \(0.925119\pi\) | |||||||
\(14\) | −1.97228 | − | 6.00733i | −0.527115 | − | 1.60553i | ||||
\(15\) | 3.95127 | − | 0.0537608i | 1.02021 | − | 0.0138810i | ||||
\(16\) | −2.11745 | − | 1.01971i | −0.529362 | − | 0.254927i | ||||
\(17\) | −1.39998 | + | 1.29899i | −0.339544 | + | 0.315051i | −0.831452 | − | 0.555596i | \(-0.812490\pi\) |
0.491908 | + | 0.870647i | \(0.336300\pi\) | |||||||
\(18\) | 2.29882 | + | 6.79084i | 0.541838 | + | 1.60062i | ||||
\(19\) | 4.54187 | + | 2.62225i | 1.04198 | + | 0.601586i | 0.920393 | − | 0.390996i | \(-0.127869\pi\) |
0.121584 | + | 0.992581i | \(0.461203\pi\) | |||||||
\(20\) | −6.20664 | + | 5.75892i | −1.38785 | + | 1.28773i | ||||
\(21\) | −1.16051 | − | 4.43320i | −0.253243 | − | 0.967403i | ||||
\(22\) | 9.11220 | + | 8.45488i | 1.94273 | + | 1.80259i | ||||
\(23\) | −0.184426 | − | 0.597895i | −0.0384555 | − | 0.124670i | 0.934310 | − | 0.356462i | \(-0.116017\pi\) |
−0.972765 | + | 0.231793i | \(0.925541\pi\) | |||||||
\(24\) | −6.18146 | − | 3.45760i | −1.26179 | − | 0.705780i | ||||
\(25\) | 0.0749465 | + | 0.190961i | 0.0149893 | + | 0.0381921i | ||||
\(26\) | −1.08061 | − | 1.00266i | −0.211925 | − | 0.196638i | ||||
\(27\) | 1.36200 | + | 5.01448i | 0.262117 | + | 0.965036i | ||||
\(28\) | 8.21098 | + | 5.38394i | 1.55173 | + | 1.01747i | ||||
\(29\) | 5.12493 | + | 5.52337i | 0.951676 | + | 1.02566i | 0.999640 | + | 0.0268142i | \(0.00853625\pi\) |
−0.0479640 | + | 0.998849i | \(0.515273\pi\) | |||||||
\(30\) | −7.30252 | + | 5.98789i | −1.33325 | + | 1.09323i | ||||
\(31\) | − | 4.69739i | − | 0.843677i | −0.906671 | − | 0.421838i | \(-0.861385\pi\) | ||
0.906671 | − | 0.421838i | \(-0.138615\pi\) | |||||||
\(32\) | −2.49776 | + | 0.570098i | −0.441547 | + | 0.100780i | ||||
\(33\) | 6.21712 | + | 6.52026i | 1.08226 | + | 1.13503i | ||||
\(34\) | 0.680231 | − | 4.51303i | 0.116659 | − | 0.773979i | ||||
\(35\) | 4.92526 | − | 3.48967i | 0.832521 | − | 0.589862i | ||||
\(36\) | −9.36605 | − | 6.01906i | −1.56101 | − | 1.00318i | ||||
\(37\) | −5.42578 | − | 1.67363i | −0.891993 | − | 0.275143i | −0.185315 | − | 0.982679i | \(-0.559331\pi\) |
−0.706678 | + | 0.707536i | \(0.749807\pi\) | |||||||
\(38\) | −12.3933 | + | 1.86799i | −2.01046 | + | 0.303028i | ||||
\(39\) | −0.737285 | − | 0.773235i | −0.118060 | − | 0.123817i | ||||
\(40\) | 1.39049 | − | 9.22529i | 0.219856 | − | 1.45865i | ||||
\(41\) | −0.543928 | + | 7.25822i | −0.0849473 | + | 1.13354i | 0.778005 | + | 0.628258i | \(0.216232\pi\) |
−0.862952 | + | 0.505285i | \(0.831387\pi\) | |||||||
\(42\) | 8.77383 | + | 6.55389i | 1.35383 | + | 1.01129i | ||||
\(43\) | 0.446996 | + | 5.96474i | 0.0681662 | + | 0.909615i | 0.921532 | + | 0.388302i | \(0.126938\pi\) |
−0.853366 | + | 0.521312i | \(0.825443\pi\) | |||||||
\(44\) | −19.2494 | − | 1.44254i | −2.90195 | − | 0.217471i | ||||
\(45\) | −5.54814 | + | 4.00804i | −0.827068 | + | 0.597483i | ||||
\(46\) | 1.23546 | + | 0.842319i | 0.182158 | + | 0.124193i | ||||
\(47\) | 1.56059 | + | 1.95692i | 0.227635 | + | 0.285446i | 0.882512 | − | 0.470290i | \(-0.155851\pi\) |
−0.654877 | + | 0.755736i | \(0.727279\pi\) | |||||||
\(48\) | 4.01655 | − | 0.661403i | 0.579740 | − | 0.0954654i | ||||
\(49\) | −5.29965 | − | 4.57315i | −0.757092 | − | 0.653308i | ||||
\(50\) | −0.424565 | − | 0.245123i | −0.0600426 | − | 0.0346656i | ||||
\(51\) | 0.692125 | − | 3.23464i | 0.0969169 | − | 0.452940i | ||||
\(52\) | 2.28278 | + | 0.171070i | 0.316564 | + | 0.0237232i | ||||
\(53\) | −1.70161 | − | 5.51649i | −0.233735 | − | 0.757749i | −0.994121 | − | 0.108278i | \(-0.965466\pi\) |
0.760386 | − | 0.649471i | \(-0.225010\pi\) | |||||||
\(54\) | −10.0164 | − | 7.33974i | −1.36306 | − | 0.998812i | ||||
\(55\) | −5.14893 | + | 10.6919i | −0.694282 | + | 1.44169i | ||||
\(56\) | −10.7725 | + | 1.00285i | −1.43954 | + | 0.134012i | ||||
\(57\) | −9.04827 | + | 0.802002i | −1.19847 | + | 0.106228i | ||||
\(58\) | −17.8054 | − | 2.68373i | −2.33796 | − | 0.352391i | ||||
\(59\) | 11.3514 | + | 5.46656i | 1.47783 | + | 0.711685i | 0.987171 | − | 0.159667i | \(-0.0510420\pi\) |
0.490658 | + | 0.871352i | \(0.336756\pi\) | |||||||
\(60\) | 3.06846 | − | 14.3404i | 0.396136 | − | 1.85134i | ||||
\(61\) | 0.101088 | − | 0.0230726i | 0.0129429 | − | 0.00295414i | −0.216045 | − | 0.976384i | \(-0.569316\pi\) |
0.228988 | + | 0.973429i | \(0.426459\pi\) | |||||||
\(62\) | 6.99918 | + | 8.77669i | 0.888896 | + | 1.11464i | ||||
\(63\) | 6.05660 | + | 5.13006i | 0.763060 | + | 0.646327i | ||||
\(64\) | 6.74805 | − | 8.46179i | 0.843506 | − | 1.05772i | ||||
\(65\) | 0.610609 | − | 1.26794i | 0.0757368 | − | 0.157269i | ||||
\(66\) | −21.3315 | − | 2.91898i | −2.62572 | − | 0.359301i | ||||
\(67\) | 12.1517 | 1.48456 | 0.742281 | − | 0.670088i | \(-0.233744\pi\) | ||||
0.742281 | + | 0.670088i | \(0.233744\pi\) | |||||||
\(68\) | 3.54374 | + | 6.13793i | 0.429741 | + | 0.744333i | ||||
\(69\) | 0.856409 | + | 0.664105i | 0.103100 | + | 0.0799489i | ||||
\(70\) | −4.00278 | + | 13.8589i | −0.478424 | + | 1.65645i | ||||
\(71\) | −2.65016 | − | 0.604882i | −0.314516 | − | 0.0717862i | 0.0623490 | − | 0.998054i | \(-0.480141\pi\) |
−0.376865 | + | 0.926268i | \(0.622998\pi\) | |||||||
\(72\) | 12.2039 | − | 1.24926i | 1.43825 | − | 0.147227i | ||||
\(73\) | −1.02444 | + | 6.79671i | −0.119902 | + | 0.795495i | 0.845358 | + | 0.534201i | \(0.179387\pi\) |
−0.965259 | + | 0.261294i | \(0.915851\pi\) | |||||||
\(74\) | 12.6314 | − | 4.95744i | 1.46837 | − | 0.576291i | ||||
\(75\) | −0.296271 | − | 0.196144i | −0.0342104 | − | 0.0226487i | ||||
\(76\) | 13.2382 | − | 14.2674i | 1.51853 | − | 1.63658i | ||||
\(77\) | 13.4698 | + | 2.81996i | 1.53503 | + | 0.321364i | ||||
\(78\) | 2.52969 | + | 0.346160i | 0.286431 | + | 0.0391949i | ||||
\(79\) | 13.3560 | 1.50266 | 0.751332 | − | 0.659925i | \(-0.229412\pi\) | ||||
0.751332 | + | 0.659925i | \(0.229412\pi\) | |||||||
\(80\) | 2.68095 | + | 4.64354i | 0.299739 | + | 0.519164i | ||||
\(81\) | −6.92067 | − | 5.75363i | −0.768964 | − | 0.639292i | ||||
\(82\) | −9.79856 | − | 14.3718i | −1.08207 | − | 1.58710i | ||||
\(83\) | 14.9414 | + | 2.25206i | 1.64003 | + | 0.247195i | 0.903307 | − | 0.428995i | \(-0.141132\pi\) |
0.736727 | + | 0.676190i | \(0.236370\pi\) | |||||||
\(84\) | −16.9980 | + | 0.537853i | −1.85463 | + | 0.0586845i | ||||
\(85\) | 4.30848 | − | 0.649399i | 0.467320 | − | 0.0704372i | ||||
\(86\) | −9.72272 | − | 10.4786i | −1.04843 | − | 1.12994i | ||||
\(87\) | −12.7617 | − | 2.73066i | −1.36820 | − | 0.292758i | ||||
\(88\) | 17.5742 | − | 11.9819i | 1.87341 | − | 1.27727i | ||||
\(89\) | 2.61883 | + | 6.67267i | 0.277596 | + | 0.707302i | 0.999877 | + | 0.0157024i | \(0.00499843\pi\) |
−0.722281 | + | 0.691600i | \(0.756906\pi\) | |||||||
\(90\) | 4.39422 | − | 15.7555i | 0.463191 | − | 1.66078i | ||||
\(91\) | −1.59738 | − | 0.334417i | −0.167451 | − | 0.0350565i | ||||
\(92\) | −2.31553 | + | 0.173525i | −0.241411 | + | 0.0180912i | ||||
\(93\) | 4.67427 | + | 6.65940i | 0.484699 | + | 0.690548i | ||||
\(94\) | −5.83166 | − | 1.33104i | −0.601490 | − | 0.137286i | ||||
\(95\) | −5.19151 | − | 10.7803i | −0.532638 | − | 1.10603i | ||||
\(96\) | 2.97374 | − | 3.29369i | 0.303506 | − | 0.336161i | ||||
\(97\) | 10.2826 | − | 5.93664i | 1.04404 | − | 0.602775i | 0.123063 | − | 0.992399i | \(-0.460728\pi\) |
0.920974 | + | 0.389624i | \(0.127395\pi\) | |||||||
\(98\) | 16.7160 | + | 0.648019i | 1.68857 | + | 0.0654598i | ||||
\(99\) | −15.3021 | − | 3.05713i | −1.53792 | − | 0.307253i | ||||
\(100\) | 0.752801 | − | 0.113467i | 0.0752801 | − | 0.0113467i | ||||
\(101\) | 0.0644688 | − | 0.860277i | 0.00641489 | − | 0.0856008i | −0.993077 | − | 0.117462i | \(-0.962524\pi\) |
0.999492 | + | 0.0318609i | \(0.0101433\pi\) | |||||||
\(102\) | 3.52647 | + | 7.07493i | 0.349173 | + | 0.700522i | ||||
\(103\) | 9.87441 | − | 14.4831i | 0.972954 | − | 1.42706i | 0.0698909 | − | 0.997555i | \(-0.477735\pi\) |
0.903063 | − | 0.429507i | \(-0.141313\pi\) | |||||||
\(104\) | −2.08411 | + | 1.42092i | −0.204364 | + | 0.139333i | ||||
\(105\) | −3.50995 | + | 9.84826i | −0.342536 | + | 0.961092i | ||||
\(106\) | 11.3990 | + | 7.77169i | 1.10717 | + | 0.754853i | ||||
\(107\) | 6.91589 | − | 2.71429i | 0.668584 | − | 0.262400i | −0.00667807 | − | 0.999978i | \(-0.502126\pi\) |
0.675262 | + | 0.737578i | \(0.264030\pi\) | |||||||
\(108\) | 19.2675 | − | 0.786847i | 1.85402 | − | 0.0757144i | ||||
\(109\) | −5.55422 | + | 14.1519i | −0.531998 | + | 1.35551i | 0.372103 | + | 0.928191i | \(0.378637\pi\) |
−0.904101 | + | 0.427318i | \(0.859458\pi\) | |||||||
\(110\) | −6.31067 | − | 27.6489i | −0.601699 | − | 2.63621i | ||||
\(111\) | 9.35742 | − | 3.02640i | 0.888167 | − | 0.287253i | ||||
\(112\) | 4.48115 | − | 4.31080i | 0.423429 | − | 0.407332i | ||||
\(113\) | 0.743634 | − | 0.291855i | 0.0699552 | − | 0.0274554i | −0.330105 | − | 0.943944i | \(-0.607084\pi\) |
0.400061 | + | 0.916489i | \(0.368989\pi\) | |||||||
\(114\) | 15.7110 | − | 14.9805i | 1.47147 | − | 1.40305i | ||||
\(115\) | −0.420764 | + | 1.36408i | −0.0392364 | + | 0.127201i | ||||
\(116\) | 24.2161 | − | 13.9812i | 2.24841 | − | 1.29812i | ||||
\(117\) | 1.81466 | + | 0.362544i | 0.167766 | + | 0.0335172i | ||||
\(118\) | −29.3544 | + | 6.69996i | −2.70230 | + | 0.616781i | ||||
\(119\) | −1.93049 | − | 4.66951i | −0.176968 | − | 0.428053i | ||||
\(120\) | 7.20862 | + | 14.4622i | 0.658054 | + | 1.32021i | ||||
\(121\) | −15.3422 | + | 4.73243i | −1.39474 | + | 0.430221i | ||||
\(122\) | −0.154495 | + | 0.193731i | −0.0139874 | + | 0.0175396i | ||||
\(123\) | −6.45138 | − | 10.8311i | −0.581701 | − | 0.976607i | ||||
\(124\) | −16.9955 | − | 3.87912i | −1.52624 | − | 0.348355i | ||||
\(125\) | −2.43424 | + | 10.6651i | −0.217725 | + | 0.953915i | ||||
\(126\) | −18.9601 | − | 0.560684i | −1.68910 | − | 0.0499497i | ||||
\(127\) | −2.48820 | − | 10.9015i | −0.220792 | − | 0.967355i | −0.956883 | − | 0.290472i | \(-0.906188\pi\) |
0.736091 | − | 0.676882i | \(-0.236669\pi\) | |||||||
\(128\) | 20.7408i | 1.83325i | ||||||||
\(129\) | −6.56908 | − | 8.01131i | −0.578375 | − | 0.705356i | ||||
\(130\) | 0.748379 | + | 3.27886i | 0.0656372 | + | 0.287575i | ||||
\(131\) | 1.04910 | + | 13.9993i | 0.0916605 | + | 1.22312i | 0.833489 | + | 0.552535i | \(0.186340\pi\) |
−0.741829 | + | 0.670589i | \(0.766041\pi\) | |||||||
\(132\) | 28.7249 | − | 17.1096i | 2.50018 | − | 1.48920i | ||||
\(133\) | −10.6907 | + | 8.84547i | −0.927002 | + | 0.766999i | ||||
\(134\) | −22.7044 | + | 18.1061i | −1.96136 | + | 1.56413i | ||||
\(135\) | 3.87719 | − | 11.2030i | 0.333695 | − | 0.964197i | ||||
\(136\) | −7.26974 | − | 2.85316i | −0.623375 | − | 0.244657i | ||||
\(137\) | −5.85400 | − | 8.58624i | −0.500141 | − | 0.733572i | 0.490293 | − | 0.871557i | \(-0.336890\pi\) |
−0.990434 | + | 0.137986i | \(0.955937\pi\) | |||||||
\(138\) | −2.58966 | + | 0.0352348i | −0.220446 | + | 0.00299938i | ||||
\(139\) | −3.34061 | − | 0.250344i | −0.283347 | − | 0.0212339i | −0.0677012 | − | 0.997706i | \(-0.521566\pi\) |
−0.215645 | + | 0.976472i | \(0.569186\pi\) | |||||||
\(140\) | −8.55861 | − | 20.7017i | −0.723335 | − | 1.74962i | ||||
\(141\) | −4.15970 | − | 1.22138i | −0.350310 | − | 0.102858i | ||||
\(142\) | 5.85289 | − | 2.81860i | 0.491163 | − | 0.236532i | ||||
\(143\) | 3.06595 | − | 0.945721i | 0.256388 | − | 0.0790851i | ||||
\(144\) | −5.03604 | + | 4.93444i | −0.419670 | + | 0.411204i | ||||
\(145\) | −2.56209 | − | 16.9984i | −0.212770 | − | 1.41164i | ||||
\(146\) | −8.21311 | − | 14.2255i | −0.679722 | − | 1.17731i | ||||
\(147\) | 12.0639 | + | 1.20971i | 0.995010 | + | 0.0997754i | ||||
\(148\) | −10.5360 | + | 18.2488i | −0.866050 | + | 1.50004i | ||||
\(149\) | 17.9607 | + | 7.04905i | 1.47140 | + | 0.577480i | 0.959535 | − | 0.281588i | \(-0.0908612\pi\) |
0.511861 | + | 0.859069i | \(0.328956\pi\) | |||||||
\(150\) | 0.845814 | − | 0.0749696i | 0.0690604 | − | 0.00612124i | ||||
\(151\) | 6.79459 | + | 6.30446i | 0.552936 | + | 0.513049i | 0.906412 | − | 0.422394i | \(-0.138810\pi\) |
−0.353477 | + | 0.935443i | \(0.615001\pi\) | |||||||
\(152\) | −1.60266 | + | 21.3860i | −0.129993 | + | 1.73464i | ||||
\(153\) | 2.23750 | + | 5.27440i | 0.180891 | + | 0.426410i | ||||
\(154\) | −29.3690 | + | 14.8014i | −2.36662 | + | 1.19273i | ||||
\(155\) | −6.03710 | + | 8.85480i | −0.484911 | + | 0.711234i | ||||
\(156\) | −3.40648 | + | 2.02902i | −0.272736 | + | 0.162451i | ||||
\(157\) | 7.60393 | − | 15.7897i | 0.606860 | − | 1.26016i | −0.340578 | − | 0.940216i | \(-0.610623\pi\) |
0.947438 | − | 0.319941i | \(-0.103663\pi\) | |||||||
\(158\) | −24.9545 | + | 19.9006i | −1.98528 | + | 1.58320i | ||||
\(159\) | 7.90169 | + | 6.12739i | 0.626645 | + | 0.485934i | ||||
\(160\) | 5.44109 | + | 2.13547i | 0.430156 | + | 0.168824i | ||||
\(161\) | 1.65276 | + | 0.0939337i | 0.130256 | + | 0.00740301i | ||||
\(162\) | 21.5037 | + | 0.438292i | 1.68949 | + | 0.0344355i | ||||
\(163\) | 5.34850 | − | 3.64655i | 0.418927 | − | 0.285620i | −0.335454 | − | 0.942057i | \(-0.608890\pi\) |
0.754381 | + | 0.656437i | \(0.227937\pi\) | |||||||
\(164\) | 25.8116 | + | 7.96183i | 2.01555 | + | 0.621715i | ||||
\(165\) | −3.33970 | − | 20.2812i | −0.259995 | − | 1.57889i | ||||
\(166\) | −31.2724 | + | 18.0551i | −2.42721 | + | 1.40135i | ||||
\(167\) | −11.4226 | − | 3.52340i | −0.883907 | − | 0.272649i | −0.180618 | − | 0.983553i | \(-0.557810\pi\) |
−0.703289 | + | 0.710904i | \(0.748286\pi\) | |||||||
\(168\) | 14.2741 | − | 12.1412i | 1.10127 | − | 0.936716i | ||||
\(169\) | 12.0589 | − | 3.71966i | 0.927604 | − | 0.286128i | ||||
\(170\) | −7.08243 | + | 7.63304i | −0.543197 | + | 0.585428i | ||||
\(171\) | 12.0295 | − | 10.1407i | 0.919919 | − | 0.775480i | ||||
\(172\) | 21.9500 | + | 3.30843i | 1.67367 | + | 0.252266i | ||||
\(173\) | 2.44579 | − | 10.7157i | 0.185950 | − | 0.814700i | −0.792773 | − | 0.609516i | \(-0.791364\pi\) |
0.978723 | − | 0.205184i | \(-0.0657792\pi\) | |||||||
\(174\) | 27.9129 | − | 13.9131i | 2.11607 | − | 1.05475i | ||||
\(175\) | −0.542664 | + | 0.00978337i | −0.0410216 | + | 0.000739553i | ||||
\(176\) | −3.60323 | + | 11.6814i | −0.271603 | + | 0.880517i | ||||
\(177\) | −21.5323 | + | 3.54572i | −1.61847 | + | 0.266513i | ||||
\(178\) | −14.8354 | − | 8.56525i | −1.11196 | − | 0.641992i | ||||
\(179\) | −3.28564 | − | 3.54108i | −0.245581 | − | 0.264673i | 0.598217 | − | 0.801334i | \(-0.295876\pi\) |
−0.843798 | + | 0.536661i | \(0.819685\pi\) | |||||||
\(180\) | 9.91972 | + | 23.3835i | 0.739372 | + | 1.74290i | ||||
\(181\) | 9.98850 | + | 7.96556i | 0.742439 | + | 0.592075i | 0.919946 | − | 0.392044i | \(-0.128232\pi\) |
−0.177507 | + | 0.984119i | \(0.556803\pi\) | |||||||
\(182\) | 3.48286 | − | 1.75529i | 0.258167 | − | 0.130110i | ||||
\(183\) | −0.120351 | + | 0.133300i | −0.00889660 | + | 0.00985379i | ||||
\(184\) | 1.87559 | − | 1.74029i | 0.138270 | − | 0.128296i | ||||
\(185\) | 8.07689 | + | 10.1281i | 0.593825 | + | 0.744633i | ||||
\(186\) | −18.6561 | − | 5.47782i | −1.36793 | − | 0.401653i | ||||
\(187\) | 7.76652 | + | 6.19360i | 0.567944 | + | 0.452921i | ||||
\(188\) | 8.36901 | − | 4.03030i | 0.610373 | − | 0.293940i | ||||
\(189\) | −13.6911 | − | 1.24600i | −0.995884 | − | 0.0906333i | ||||
\(190\) | 25.7627 | + | 12.4067i | 1.86902 | + | 0.900073i | ||||
\(191\) | −3.12238 | − | 6.48369i | −0.225928 | − | 0.469143i | 0.756933 | − | 0.653492i | \(-0.226697\pi\) |
−0.982861 | + | 0.184349i | \(0.940982\pi\) | |||||||
\(192\) | −1.14644 | + | 18.7110i | −0.0827374 | + | 1.35035i | ||||
\(193\) | −23.6457 | + | 11.3872i | −1.70206 | + | 0.819667i | −0.708579 | + | 0.705632i | \(0.750663\pi\) |
−0.993477 | + | 0.114035i | \(0.963622\pi\) | |||||||
\(194\) | −10.3665 | + | 26.4133i | −0.744268 | + | 1.89636i | ||||
\(195\) | 0.396054 | + | 2.40514i | 0.0283620 | + | 0.172236i | ||||
\(196\) | −20.9225 | + | 15.3980i | −1.49446 | + | 1.09986i | ||||
\(197\) | − | 14.2362i | − | 1.01429i | −0.861861 | − | 0.507144i | \(-0.830701\pi\) | ||
0.861861 | − | 0.507144i | \(-0.169299\pi\) | |||||||
\(198\) | 33.1458 | − | 17.0883i | 2.35557 | − | 1.21441i | ||||
\(199\) | −5.46115 | + | 8.01003i | −0.387131 | + | 0.567816i | −0.969495 | − | 0.245112i | \(-0.921175\pi\) |
0.582364 | + | 0.812928i | \(0.302128\pi\) | |||||||
\(200\) | −0.570577 | + | 0.614936i | −0.0403459 | + | 0.0434825i | ||||
\(201\) | −17.2272 | + | 12.0919i | −1.21511 | + | 0.852894i | ||||
\(202\) | 1.16137 | + | 1.70342i | 0.0817137 | + | 0.119852i | ||||
\(203\) | −18.4228 | + | 7.61642i | −1.29302 | + | 0.534568i | ||||
\(204\) | −11.1316 | − | 5.17533i | −0.779368 | − | 0.362346i | ||||
\(205\) | 10.3536 | − | 12.9830i | 0.723128 | − | 0.906773i | ||||
\(206\) | 3.13049 | + | 41.7735i | 0.218111 | + | 2.91050i | ||||
\(207\) | −1.87495 | − | 0.0892956i | −0.130318 | − | 0.00620647i | ||||
\(208\) | 0.427305 | − | 1.38529i | 0.0296283 | − | 0.0960525i | ||||
\(209\) | 9.96621 | − | 25.3935i | 0.689377 | − | 1.75651i | ||||
\(210\) | −8.11599 | − | 23.6305i | −0.560056 | − | 1.63066i | ||||
\(211\) | −5.45339 | − | 13.8950i | −0.375427 | − | 0.956573i | −0.986317 | − | 0.164858i | \(-0.947284\pi\) |
0.610890 | − | 0.791715i | \(-0.290812\pi\) | |||||||
\(212\) | −21.3643 | + | 1.60103i | −1.46731 | + | 0.109959i | ||||
\(213\) | 4.35898 | − | 1.77959i | 0.298673 | − | 0.121935i | ||||
\(214\) | −8.87744 | + | 15.3762i | −0.606850 | + | 1.05109i | ||||
\(215\) | 6.82329 | − | 11.8183i | 0.465345 | − | 0.806001i | ||||
\(216\) | −16.0582 | + | 13.9149i | −1.09262 | + | 0.946790i | ||||
\(217\) | 11.6490 | + | 4.33123i | 0.790785 | + | 0.294023i | ||||
\(218\) | −10.7090 | − | 34.7176i | −0.725302 | − | 2.35137i | ||||
\(219\) | −5.31093 | − | 10.6550i | −0.358880 | − | 0.719996i | ||||
\(220\) | 34.4320 | + | 27.4586i | 2.32141 | + | 1.85126i | ||||
\(221\) | −0.921028 | − | 0.734495i | −0.0619551 | − | 0.0494075i | ||||
\(222\) | −12.9742 | + | 19.5973i | −0.870771 | + | 1.31528i | ||||
\(223\) | 3.30654 | + | 10.7196i | 0.221423 | + | 0.717834i | 0.996317 | + | 0.0857440i | \(0.0273267\pi\) |
−0.774895 | + | 0.632090i | \(0.782197\pi\) | |||||||
\(224\) | 0.889287 | − | 6.71983i | 0.0594180 | − | 0.448987i | ||||
\(225\) | 0.615196 | − | 0.0167438i | 0.0410131 | − | 0.00111625i | ||||
\(226\) | −0.954552 | + | 1.65333i | −0.0634958 | + | 0.109978i | ||||
\(227\) | −8.22366 | + | 14.2438i | −0.545824 | + | 0.945394i | 0.452731 | + | 0.891647i | \(0.350450\pi\) |
−0.998555 | + | 0.0537472i | \(0.982883\pi\) | |||||||
\(228\) | −4.57038 | + | 33.3996i | −0.302681 | + | 2.21194i | ||||
\(229\) | −17.4878 | + | 1.31053i | −1.15563 | + | 0.0866024i | −0.638721 | − | 0.769439i | \(-0.720536\pi\) |
−0.516908 | + | 0.856041i | \(0.672917\pi\) | |||||||
\(230\) | −1.24634 | − | 3.17562i | −0.0821812 | − | 0.209394i | ||||
\(231\) | −21.9020 | + | 9.40573i | −1.44105 | + | 0.618852i | ||||
\(232\) | −11.2567 | + | 28.6815i | −0.739036 | + | 1.88303i | ||||
\(233\) | −6.03806 | + | 19.5749i | −0.395567 | + | 1.28240i | 0.510726 | + | 0.859744i | \(0.329377\pi\) |
−0.906292 | + | 0.422652i | \(0.861099\pi\) | |||||||
\(234\) | −3.93075 | + | 2.02649i | −0.256961 | + | 0.132476i | ||||
\(235\) | −0.426747 | − | 5.69455i | −0.0278379 | − | 0.371471i | ||||
\(236\) | 29.1525 | − | 36.5560i | 1.89766 | − | 2.37959i | ||||
\(237\) | −18.9345 | + | 13.2902i | −1.22993 | + | 0.863293i | ||||
\(238\) | 10.5646 | + | 5.84814i | 0.684801 | + | 0.379078i | ||||
\(239\) | −15.1521 | − | 22.2241i | −0.980110 | − | 1.43756i | −0.897520 | − | 0.440974i | \(-0.854633\pi\) |
−0.0825907 | − | 0.996584i | \(-0.526319\pi\) | |||||||
\(240\) | −8.42142 | − | 3.91531i | −0.543600 | − | 0.252732i | ||||
\(241\) | −11.6197 | + | 12.5231i | −0.748492 | + | 0.806682i | −0.986358 | − | 0.164616i | \(-0.947362\pi\) |
0.237866 | + | 0.971298i | \(0.423552\pi\) | |||||||
\(242\) | 21.6142 | − | 31.7022i | 1.38941 | − | 2.03789i | ||||
\(243\) | 15.5366 | + | 1.27020i | 0.996675 | + | 0.0814836i | ||||
\(244\) | − | 0.384796i | − | 0.0246341i | ||||||
\(245\) | 4.11265 | + | 15.4317i | 0.262747 | + | 0.985897i | ||||
\(246\) | 28.1923 | + | 10.6244i | 1.79748 | + | 0.677385i | ||||
\(247\) | −1.18189 | + | 3.01140i | −0.0752018 | + | 0.191611i | ||||
\(248\) | 17.3065 | − | 8.33436i | 1.09896 | − | 0.529232i | ||||
\(249\) | −23.4231 | + | 11.6752i | −1.48438 | + | 0.739885i | ||||
\(250\) | −11.3430 | − | 23.5539i | −0.717391 | − | 1.48968i | ||||
\(251\) | 5.01961 | + | 2.41732i | 0.316835 | + | 0.152580i | 0.585542 | − | 0.810642i | \(-0.300882\pi\) |
−0.268706 | + | 0.963222i | \(0.586596\pi\) | |||||||
\(252\) | 23.5625 | − | 17.6768i | 1.48430 | − | 1.11354i | ||||
\(253\) | −2.93223 | + | 1.41209i | −0.184348 | + | 0.0887772i | ||||
\(254\) | 20.8924 | + | 16.6612i | 1.31091 | + | 1.04541i | ||||
\(255\) | −5.46185 | + | 5.20792i | −0.342034 | + | 0.326132i | ||||
\(256\) | −17.4080 | − | 21.8290i | −1.08800 | − | 1.36431i | ||||
\(257\) | 5.46780 | − | 5.07338i | 0.341072 | − | 0.316469i | −0.490975 | − | 0.871174i | \(-0.663359\pi\) |
0.832047 | + | 0.554705i | \(0.187169\pi\) | |||||||
\(258\) | 24.2107 | + | 5.18045i | 1.50729 | + | 0.322520i | ||||
\(259\) | 9.15325 | − | 11.9121i | 0.568756 | − | 0.740184i | ||||
\(260\) | −4.08328 | − | 3.25630i | −0.253234 | − | 0.201947i | ||||
\(261\) | 20.8092 | − | 8.82769i | 1.28806 | − | 0.546420i | ||||
\(262\) | −22.8193 | − | 24.5934i | −1.40978 | − | 1.51938i | ||||
\(263\) | 6.19928 | + | 3.57916i | 0.382264 | + | 0.220700i | 0.678803 | − | 0.734321i | \(-0.262499\pi\) |
−0.296539 | + | 0.955021i | \(0.595832\pi\) | |||||||
\(264\) | −12.9917 | + | 34.4742i | −0.799583 | + | 2.12174i | ||||
\(265\) | −3.88219 | + | 12.5858i | −0.238481 | + | 0.773137i | ||||
\(266\) | 6.79485 | − | 32.4563i | 0.416619 | − | 1.99002i | ||||
\(267\) | −10.3525 | − | 6.85378i | −0.633563 | − | 0.419445i | ||||
\(268\) | 10.0349 | − | 43.9657i | 0.612978 | − | 2.68563i | ||||
\(269\) | 13.0298 | + | 1.96393i | 0.794440 | + | 0.119743i | 0.533708 | − | 0.845669i | \(-0.320798\pi\) |
0.260732 | + | 0.965411i | \(0.416036\pi\) | |||||||
\(270\) | 9.44835 | + | 26.7089i | 0.575008 | + | 1.62545i | ||||
\(271\) | −4.58657 | + | 4.94315i | −0.278614 | + | 0.300275i | −0.856819 | − | 0.515617i | \(-0.827563\pi\) |
0.578205 | + | 0.815892i | \(0.303753\pi\) | |||||||
\(272\) | 4.28896 | − | 1.32297i | 0.260057 | − | 0.0802168i | ||||
\(273\) | 2.59735 | − | 1.11542i | 0.157199 | − | 0.0675083i | ||||
\(274\) | 23.7313 | + | 7.32014i | 1.43366 | + | 0.442226i | ||||
\(275\) | 0.924083 | − | 0.533520i | 0.0557243 | − | 0.0321725i | ||||
\(276\) | 3.11001 | − | 2.55013i | 0.187201 | − | 0.153500i | ||||
\(277\) | 18.5880 | + | 5.73363i | 1.11684 | + | 0.344500i | 0.797609 | − | 0.603175i | \(-0.206098\pi\) |
0.319234 | + | 0.947676i | \(0.396574\pi\) | |||||||
\(278\) | 6.61466 | − | 4.50980i | 0.396721 | − | 0.270480i | ||||
\(279\) | −13.2533 | − | 4.78964i | −0.793452 | − | 0.286748i | ||||
\(280\) | 21.5956 | + | 11.9544i | 1.29058 | + | 0.714414i | ||||
\(281\) | 18.2269 | + | 7.15355i | 1.08733 | + | 0.426745i | 0.840222 | − | 0.542243i | \(-0.182425\pi\) |
0.247107 | + | 0.968988i | \(0.420520\pi\) | |||||||
\(282\) | 9.59192 | − | 3.91597i | 0.571191 | − | 0.233193i | ||||
\(283\) | −8.44124 | + | 6.73166i | −0.501779 | + | 0.400156i | −0.841405 | − | 0.540405i | \(-0.818271\pi\) |
0.339626 | + | 0.940561i | \(0.389700\pi\) | |||||||
\(284\) | −4.37702 | + | 9.08897i | −0.259728 | + | 0.539331i | ||||
\(285\) | 18.0871 | + | 10.1170i | 1.07139 | + | 0.599282i | ||||
\(286\) | −4.31934 | + | 6.33531i | −0.255408 | + | 0.374615i | ||||
\(287\) | −17.4980 | − | 8.04132i | −1.03288 | − | 0.474664i | ||||
\(288\) | −0.938338 | + | 7.62850i | −0.0552921 | + | 0.449514i | ||||
\(289\) | −0.997848 | + | 13.3154i | −0.0586970 | + | 0.783257i | ||||
\(290\) | 30.1149 | + | 27.9425i | 1.76841 | + | 1.64084i | ||||
\(291\) | −8.66998 | + | 18.6482i | −0.508243 | + | 1.09318i | ||||
\(292\) | 23.7451 | + | 9.31925i | 1.38957 | + | 0.545368i | ||||
\(293\) | 8.56348 | − | 14.8324i | 0.500284 | − | 0.866518i | −0.499716 | − | 0.866189i | \(-0.666562\pi\) |
1.00000 | 0.000328097i | \(-0.000104437\pi\) | ||||||||
\(294\) | −24.3428 | + | 15.7151i | −1.41970 | + | 0.916521i | ||||
\(295\) | −14.3723 | − | 24.8936i | −0.836789 | − | 1.44936i | ||||
\(296\) | −3.46059 | − | 22.9595i | −0.201143 | − | 1.33449i | ||||
\(297\) | 24.7355 | − | 10.8927i | 1.43530 | − | 0.632060i | ||||
\(298\) | −44.0612 | + | 13.5911i | −2.55240 | + | 0.787310i | ||||
\(299\) | 0.347732 | − | 0.167459i | 0.0201099 | − | 0.00968440i | ||||
\(300\) | −0.954324 | + | 0.909955i | −0.0550979 | + | 0.0525363i | ||||
\(301\) | −15.2040 | − | 4.39129i | −0.876345 | − | 0.253110i | ||||
\(302\) | −22.0889 | − | 1.65533i | −1.27107 | − | 0.0952536i | ||||
\(303\) | 0.764647 | + | 1.28375i | 0.0439278 | + | 0.0737495i | ||||
\(304\) | −6.94324 | − | 10.1839i | −0.398222 | − | 0.584084i | ||||
\(305\) | −0.220208 | − | 0.0864251i | −0.0126091 | − | 0.00494869i | ||||
\(306\) | −12.0395 | − | 6.52087i | −0.688253 | − | 0.372773i | ||||
\(307\) | −4.73908 | + | 3.77929i | −0.270474 | + | 0.215696i | −0.749328 | − | 0.662199i | \(-0.769624\pi\) |
0.478855 | + | 0.877894i | \(0.341052\pi\) | |||||||
\(308\) | 21.3262 | − | 46.4061i | 1.21518 | − | 2.64424i | ||||
\(309\) | 0.413053 | + | 30.3582i | 0.0234977 | + | 1.72702i | ||||
\(310\) | −1.91394 | − | 25.5398i | −0.108705 | − | 1.45056i | ||||
\(311\) | −1.99969 | − | 8.76121i | −0.113392 | − | 0.496803i | −0.999448 | − | 0.0332244i | \(-0.989422\pi\) |
0.886056 | − | 0.463578i | \(-0.153435\pi\) | |||||||
\(312\) | 1.54068 | − | 4.08827i | 0.0872237 | − | 0.231453i | ||||
\(313\) | − | 17.2783i | − | 0.976625i | −0.872669 | − | 0.488312i | \(-0.837613\pi\) | ||
0.872669 | − | 0.488312i | \(-0.162387\pi\) | |||||||
\(314\) | 9.31958 | + | 40.8317i | 0.525934 | + | 2.30427i | ||||
\(315\) | −4.82380 | − | 17.4544i | −0.271790 | − | 0.983442i | ||||
\(316\) | 11.0294 | − | 48.3229i | 0.620452 | − | 2.71838i | ||||
\(317\) | 4.28935 | + | 0.979015i | 0.240914 | + | 0.0549870i | 0.341273 | − | 0.939964i | \(-0.389142\pi\) |
−0.100359 | + | 0.994951i | \(0.531999\pi\) | |||||||
\(318\) | −23.8935 | + | 0.325095i | −1.33988 | + | 0.0182304i | ||||
\(319\) | 24.4358 | − | 30.6415i | 1.36814 | − | 1.71559i | ||||
\(320\) | −23.5955 | + | 7.27824i | −1.31903 | + | 0.406866i | ||||
\(321\) | −7.10360 | + | 10.7298i | −0.396484 | + | 0.598881i | ||||
\(322\) | −3.22801 | + | 2.28713i | −0.179890 | + | 0.127457i | ||||
\(323\) | −9.76478 | + | 2.22875i | −0.543327 | + | 0.124011i | ||||
\(324\) | −26.5322 | + | 20.2882i | −1.47401 | + | 1.12712i | ||||
\(325\) | −0.109587 | + | 0.0632699i | −0.00607877 | + | 0.00350958i | ||||
\(326\) | −4.55983 | + | 14.7826i | −0.252546 | + | 0.818733i | ||||
\(327\) | −6.20816 | − | 25.5898i | −0.343312 | − | 1.41512i | ||||
\(328\) | −27.7063 | + | 10.8739i | −1.52983 | + | 0.600413i | ||||
\(329\) | −6.29187 | + | 2.06570i | −0.346882 | + | 0.113886i | ||||
\(330\) | 36.4593 | + | 32.9176i | 2.00702 | + | 1.81206i | ||||
\(331\) | −3.85303 | − | 16.8812i | −0.211782 | − | 0.927876i | −0.963356 | − | 0.268227i | \(-0.913562\pi\) |
0.751574 | − | 0.659649i | \(-0.229295\pi\) | |||||||
\(332\) | 20.4868 | − | 52.1995i | 1.12436 | − | 2.86482i | ||||
\(333\) | −10.2543 | + | 13.6018i | −0.561934 | + | 0.745376i | ||||
\(334\) | 26.5921 | − | 10.4366i | 1.45505 | − | 0.571067i | ||||
\(335\) | −22.9064 | − | 15.6174i | −1.25151 | − | 0.853267i | ||||
\(336\) | −2.06326 | + | 10.5704i | −0.112560 | + | 0.576664i | ||||
\(337\) | 16.8928 | − | 11.5173i | 0.920212 | − | 0.627390i | −0.00778822 | − | 0.999970i | \(-0.502479\pi\) |
0.928000 | + | 0.372580i | \(0.121527\pi\) | |||||||
\(338\) | −16.9886 | + | 24.9177i | −0.924060 | + | 1.35535i | ||||
\(339\) | −0.763818 | + | 1.15373i | −0.0414849 | + | 0.0626621i | ||||
\(340\) | 1.20838 | − | 16.1247i | 0.0655335 | − | 0.874484i | ||||
\(341\) | −24.1605 | + | 3.64161i | −1.30837 | + | 0.197204i | ||||
\(342\) | −7.36633 | + | 36.8712i | −0.398326 | + | 1.99377i | ||||
\(343\) | 16.2274 | − | 8.92583i | 0.876199 | − | 0.481949i | ||||
\(344\) | −21.1827 | + | 12.2298i | −1.14209 | + | 0.659387i | ||||
\(345\) | −0.760860 | − | 2.35253i | −0.0409634 | − | 0.126656i | ||||
\(346\) | 11.3968 | + | 23.6657i | 0.612695 | + | 1.27227i | ||||
\(347\) | 33.6924 | + | 7.69006i | 1.80870 | + | 0.412824i | 0.987475 | − | 0.157778i | \(-0.0504331\pi\) |
0.821226 | + | 0.570602i | \(0.193290\pi\) | |||||||
\(348\) | −20.4184 | + | 43.9178i | −1.09454 | + | 2.35424i | ||||
\(349\) | −25.0083 | + | 1.87411i | −1.33866 | + | 0.100319i | −0.724726 | − | 0.689037i | \(-0.758034\pi\) |
−0.613936 | + | 0.789356i | \(0.710415\pi\) | |||||||
\(350\) | 0.999346 | − | 0.826857i | 0.0534173 | − | 0.0441973i | ||||
\(351\) | −2.93337 | + | 1.29176i | −0.156572 | + | 0.0689492i | ||||
\(352\) | 4.86861 | + | 12.4050i | 0.259498 | + | 0.661190i | ||||
\(353\) | −27.1358 | + | 18.5009i | −1.44429 | + | 0.984703i | −0.448432 | + | 0.893817i | \(0.648017\pi\) |
−0.995861 | + | 0.0908857i | \(0.971030\pi\) | |||||||
\(354\) | 34.9482 | − | 38.7084i | 1.85748 | − | 2.05733i | ||||
\(355\) | 4.21828 | + | 4.54622i | 0.223883 | + | 0.241288i | ||||
\(356\) | 26.3049 | − | 3.96482i | 1.39416 | − | 0.210135i | ||||
\(357\) | 7.38335 | + | 4.69889i | 0.390768 | + | 0.248691i | ||||
\(358\) | 11.4152 | + | 1.72057i | 0.603313 | + | 0.0909348i | ||||
\(359\) | 6.56260 | + | 9.62556i | 0.346361 | + | 0.508018i | 0.959405 | − | 0.282030i | \(-0.0910079\pi\) |
−0.613045 | + | 0.790048i | \(0.710056\pi\) | |||||||
\(360\) | −24.6105 | − | 13.3296i | −1.29709 | − | 0.702532i | ||||
\(361\) | 4.25240 | + | 7.36537i | 0.223810 | + | 0.387651i | ||||
\(362\) | −30.5315 | −1.60470 | ||||||||
\(363\) | 17.0412 | − | 21.9757i | 0.894429 | − | 1.15343i | ||||
\(364\) | −2.52907 | + | 5.50328i | −0.132559 | + | 0.288450i | ||||
\(365\) | 10.6663 | − | 11.4955i | 0.558298 | − | 0.601702i | ||||
\(366\) | 0.0262476 | − | 0.428384i | 0.00137198 | − | 0.0223920i | ||||
\(367\) | 1.98206 | − | 0.777900i | 0.103463 | − | 0.0406060i | −0.313045 | − | 0.949738i | \(-0.601349\pi\) |
0.416508 | + | 0.909132i | \(0.363254\pi\) | |||||||
\(368\) | −0.219166 | + | 1.45407i | −0.0114248 | + | 0.0757987i | ||||
\(369\) | 19.9238 | + | 8.93541i | 1.03719 | + | 0.465159i | ||||
\(370\) | −30.1820 | − | 6.88884i | −1.56909 | − | 0.358134i | ||||
\(371\) | 15.2492 | + | 0.866682i | 0.791701 | + | 0.0449959i | ||||
\(372\) | 27.9543 | − | 11.4125i | 1.44936 | − | 0.591712i | ||||
\(373\) | 2.34351 | + | 4.05908i | 0.121342 | + | 0.210171i | 0.920297 | − | 0.391220i | \(-0.127947\pi\) |
−0.798955 | + | 0.601391i | \(0.794613\pi\) | |||||||
\(374\) | −23.7396 | −1.22755 | ||||||||
\(375\) | −7.16163 | − | 17.5420i | −0.369825 | − | 0.905863i | ||||
\(376\) | −4.44093 | + | 9.22170i | −0.229024 | + | 0.475573i | ||||
\(377\) | −2.89783 | + | 3.63376i | −0.149246 | + | 0.187148i | ||||
\(378\) | 27.4373 | − | 18.0719i | 1.41122 | − | 0.929520i | ||||
\(379\) | 5.42380 | + | 6.80123i | 0.278602 | + | 0.349356i | 0.901369 | − | 0.433051i | \(-0.142563\pi\) |
−0.622767 | + | 0.782407i | \(0.713992\pi\) | |||||||
\(380\) | −43.2911 | + | 9.88090i | −2.22079 | + | 0.506880i | ||||
\(381\) | 14.3754 | + | 12.9789i | 0.736472 | + | 0.664931i | ||||
\(382\) | 15.4947 | + | 7.46185i | 0.792778 | + | 0.381782i | ||||
\(383\) | −6.07330 | − | 0.915403i | −0.310331 | − | 0.0467749i | −0.00796978 | − | 0.999968i | \(-0.502537\pi\) |
−0.302362 | + | 0.953193i | \(0.597775\pi\) | |||||||
\(384\) | −20.6388 | − | 29.4039i | −1.05322 | − | 1.50051i | ||||
\(385\) | −21.7670 | − | 22.6272i | −1.10935 | − | 1.15319i | ||||
\(386\) | 27.2130 | − | 56.5084i | 1.38511 | − | 2.87620i | ||||
\(387\) | 17.2847 | + | 4.82073i | 0.878633 | + | 0.245051i | ||||
\(388\) | −12.9879 | − | 42.1056i | −0.659359 | − | 2.13759i | ||||
\(389\) | 19.3479 | + | 1.44992i | 0.980976 | + | 0.0735140i | 0.555553 | − | 0.831481i | \(-0.312506\pi\) |
0.425423 | + | 0.904995i | \(0.360125\pi\) | |||||||
\(390\) | −4.32369 | − | 3.90369i | −0.218939 | − | 0.197671i | ||||
\(391\) | 1.03485 | + | 0.597471i | 0.0523346 | + | 0.0302154i | ||||
\(392\) | 7.44584 | − | 27.6393i | 0.376072 | − | 1.39599i | ||||
\(393\) | −15.4177 | − | 18.8026i | −0.777720 | − | 0.948466i | ||||
\(394\) | 21.2121 | + | 26.5992i | 1.06865 | + | 1.34005i | ||||
\(395\) | −25.1766 | − | 17.1651i | −1.26677 | − | 0.863671i | ||||
\(396\) | −23.6974 | + | 52.8395i | −1.19084 | + | 2.65528i | ||||
\(397\) | 3.83629 | + | 0.287490i | 0.192538 | + | 0.0144287i | 0.170650 | − | 0.985332i | \(-0.445413\pi\) |
0.0218879 | + | 0.999760i | \(0.493032\pi\) | |||||||
\(398\) | −1.73135 | − | 23.1033i | −0.0867848 | − | 1.15806i | ||||
\(399\) | 6.35409 | − | 23.1781i | 0.318102 | − | 1.16036i | ||||
\(400\) | 0.0360289 | − | 0.480772i | 0.00180145 | − | 0.0240386i | ||||
\(401\) | 4.22550 | − | 28.0344i | 0.211012 | − | 1.39997i | −0.592926 | − | 0.805257i | \(-0.702027\pi\) |
0.803938 | − | 0.594714i | \(-0.202735\pi\) | |||||||
\(402\) | 14.1706 | − | 48.2614i | 0.706763 | − | 2.40706i | ||||
\(403\) | 2.86519 | − | 0.431857i | 0.142725 | − | 0.0215123i | ||||
\(404\) | −3.05931 | − | 0.943672i | −0.152206 | − | 0.0469494i | ||||
\(405\) | 5.65120 | + | 19.7403i | 0.280811 | + | 0.980905i | ||||
\(406\) | 23.0728 | − | 41.6808i | 1.14509 | − | 2.06858i | ||||
\(407\) | −4.40185 | + | 29.2044i | −0.218192 | + | 1.44761i | ||||
\(408\) | 13.1453 | − | 3.18908i | 0.650789 | − | 0.157883i | ||||
\(409\) | 17.9278 | − | 4.09191i | 0.886473 | − | 0.202332i | 0.245042 | − | 0.969512i | \(-0.421198\pi\) |
0.641431 | + | 0.767181i | \(0.278341\pi\) | |||||||
\(410\) | 39.6847i | 1.95989i | ||||||||
\(411\) | 16.8431 | + | 6.34736i | 0.830808 | + | 0.313092i | ||||
\(412\) | −44.2467 | − | 47.6865i | −2.17988 | − | 2.34935i | ||||
\(413\) | −24.0230 | + | 23.1098i | −1.18209 | + | 1.13716i | ||||
\(414\) | 3.63624 | − | 2.62686i | 0.178712 | − | 0.129103i | ||||
\(415\) | −25.2709 | − | 23.4480i | −1.24050 | − | 1.15102i | ||||
\(416\) | −0.577366 | − | 1.47110i | −0.0283077 | − | 0.0721269i | ||||
\(417\) | 4.98503 | − | 2.96926i | 0.244118 | − | 0.145405i | ||||
\(418\) | 19.2156 | + | 62.2954i | 0.939866 | + | 3.04697i | ||||
\(419\) | 14.1920 | + | 13.1682i | 0.693324 | + | 0.643311i | 0.945972 | − | 0.324248i | \(-0.105111\pi\) |
−0.252648 | + | 0.967558i | \(0.581302\pi\) | |||||||
\(420\) | 32.7332 | + | 20.8320i | 1.59722 | + | 1.01650i | ||||
\(421\) | −18.8589 | + | 17.4985i | −0.919125 | + | 0.852824i | −0.989476 | − | 0.144699i | \(-0.953779\pi\) |
0.0703504 | + | 0.997522i | \(0.477588\pi\) | |||||||
\(422\) | 30.8930 | + | 17.8361i | 1.50385 | + | 0.868246i | ||||
\(423\) | 7.11249 | − | 2.40771i | 0.345821 | − | 0.117067i | ||||
\(424\) | 17.3052 | − | 16.0569i | 0.840414 | − | 0.779790i | ||||
\(425\) | −0.352979 | − | 0.169986i | −0.0171220 | − | 0.00824551i | ||||
\(426\) | −5.49280 | + | 9.81996i | −0.266127 | + | 0.475778i | ||||
\(427\) | −0.0359905 | + | 0.271960i | −0.00174170 | + | 0.0131610i | ||||
\(428\) | −4.10934 | − | 27.2637i | −0.198632 | − | 1.31784i | ||||
\(429\) | −3.40547 | + | 4.39159i | −0.164418 | + | 0.212028i | ||||
\(430\) | 4.86065 | + | 32.2483i | 0.234401 | + | 1.55515i | ||||
\(431\) | 19.6353 | − | 1.47146i | 0.945797 | − | 0.0708777i | 0.407106 | − | 0.913381i | \(-0.366538\pi\) |
0.538691 | + | 0.842503i | \(0.318919\pi\) | |||||||
\(432\) | 2.22935 | − | 12.0067i | 0.107259 | − | 0.577674i | ||||
\(433\) | −2.53480 | − | 5.26356i | −0.121814 | − | 0.252950i | 0.831140 | − | 0.556063i | \(-0.187689\pi\) |
−0.952955 | + | 0.303112i | \(0.901974\pi\) | |||||||
\(434\) | −28.2188 | + | 9.26459i | −1.35454 | + | 0.444715i | ||||
\(435\) | 20.5469 | + | 21.5488i | 0.985150 | + | 1.03319i | ||||
\(436\) | 46.6161 | + | 31.7823i | 2.23251 | + | 1.52210i | ||||
\(437\) | 0.730190 | − | 3.19917i | 0.0349297 | − | 0.153037i | ||||
\(438\) | 25.7991 | + | 11.9946i | 1.23273 | + | 0.573123i | ||||
\(439\) | −1.75007 | + | 1.39564i | −0.0835263 | + | 0.0666100i | −0.664363 | − | 0.747410i | \(-0.731297\pi\) |
0.580836 | + | 0.814020i | \(0.302726\pi\) | |||||||
\(440\) | −48.5273 | −2.31345 | ||||||||
\(441\) | −18.3065 | + | 10.2895i | −0.871736 | + | 0.489976i | ||||
\(442\) | 2.81527 | 0.133909 | ||||||||
\(443\) | 15.3251 | − | 12.2213i | 0.728116 | − | 0.580653i | −0.187712 | − | 0.982224i | \(-0.560107\pi\) |
0.915828 | + | 0.401571i | \(0.131536\pi\) | |||||||
\(444\) | −3.22237 | − | 36.3551i | −0.152927 | − | 1.72534i | ||||
\(445\) | 3.63912 | − | 15.9440i | 0.172511 | − | 0.755819i | ||||
\(446\) | −22.1503 | − | 15.1018i | −1.04885 | − | 0.715091i | ||||
\(447\) | −32.4769 | + | 7.87898i | −1.53610 | + | 0.372663i | ||||
\(448\) | 14.7622 | + | 24.5366i | 0.697449 | + | 1.15924i | ||||
\(449\) | −4.07501 | − | 8.46185i | −0.192312 | − | 0.399339i | 0.782409 | − | 0.622764i | \(-0.213990\pi\) |
−0.974721 | + | 0.223425i | \(0.928276\pi\) | |||||||
\(450\) | −1.12449 | + | 0.947934i | −0.0530092 | + | 0.0446861i | ||||
\(451\) | 37.7535 | − | 2.82924i | 1.77774 | − | 0.133224i | ||||
\(452\) | −0.441859 | − | 2.93154i | −0.0207833 | − | 0.137888i | ||||
\(453\) | −15.9060 | − | 2.17656i | −0.747329 | − | 0.102264i | ||||
\(454\) | −5.85822 | − | 38.8667i | −0.274940 | − | 1.82411i | ||||
\(455\) | 2.58134 | + | 2.68335i | 0.121015 | + | 0.125797i | ||||
\(456\) | −19.0087 | − | 31.9133i | −0.890164 | − | 1.49448i | ||||
\(457\) | 14.7219 | + | 7.08970i | 0.688662 | + | 0.331642i | 0.745278 | − | 0.666754i | \(-0.232317\pi\) |
−0.0566159 | + | 0.998396i | \(0.518031\pi\) | |||||||
\(458\) | 30.7219 | − | 28.5057i | 1.43554 | − | 1.33198i | ||||
\(459\) | −8.42051 | − | 5.25093i | −0.393036 | − | 0.245092i | ||||
\(460\) | 4.58789 | + | 2.64882i | 0.213912 | + | 0.123502i | ||||
\(461\) | −17.8625 | + | 16.5740i | −0.831941 | + | 0.771928i | −0.976030 | − | 0.217636i | \(-0.930165\pi\) |
0.144089 | + | 0.989565i | \(0.453975\pi\) | |||||||
\(462\) | 26.9074 | − | 50.2081i | 1.25185 | − | 2.33589i | ||||
\(463\) | −11.5118 | − | 10.6814i | −0.535001 | − | 0.496408i | 0.365769 | − | 0.930706i | \(-0.380806\pi\) |
−0.900769 | + | 0.434298i | \(0.856997\pi\) | |||||||
\(464\) | −5.21955 | − | 16.9214i | −0.242312 | − | 0.785555i | ||||
\(465\) | −0.252536 | − | 18.5607i | −0.0117111 | − | 0.860730i | ||||
\(466\) | −17.8853 | − | 45.5709i | −0.828519 | − | 2.11103i | ||||
\(467\) | 24.4592 | + | 22.6948i | 1.13184 | + | 1.05019i | 0.998249 | + | 0.0591522i | \(0.0188397\pi\) |
0.133586 | + | 0.991037i | \(0.457351\pi\) | |||||||
\(468\) | 2.81027 | − | 6.26621i | 0.129905 | − | 0.289656i | ||||
\(469\) | −11.2044 | + | 30.1347i | −0.517373 | + | 1.39149i | ||||
\(470\) | 9.28229 | + | 10.0039i | 0.428160 | + | 0.461447i | ||||
\(471\) | 4.93206 | + | 29.9513i | 0.227257 | + | 1.38008i | ||||
\(472\) | 51.5208i | 2.37144i | ||||||||
\(473\) | 30.3325 | − | 6.92319i | 1.39469 | − | 0.318329i | ||||
\(474\) | 15.5749 | − | 53.0444i | 0.715380 | − | 2.43641i | ||||
\(475\) | −0.160349 | + | 1.06385i | −0.00735732 | + | 0.0488126i | ||||
\(476\) | −18.4889 | + | 3.12857i | −0.847435 | + | 0.143398i | ||||
\(477\) | −17.2993 | − | 0.823889i | −0.792081 | − | 0.0377233i | ||||
\(478\) | 61.4247 | + | 18.9470i | 2.80950 | + | 0.866617i | ||||
\(479\) | −38.0150 | + | 5.72984i | −1.73695 | + | 0.261803i | −0.939738 | − | 0.341895i | \(-0.888931\pi\) |
−0.797213 | + | 0.603698i | \(0.793693\pi\) | |||||||
\(480\) | −9.83869 | + | 2.38689i | −0.449073 | + | 0.108946i | ||||
\(481\) | 0.522014 | − | 3.46333i | 0.0238018 | − | 0.157914i | ||||
\(482\) | 3.05093 | − | 40.7119i | 0.138966 | − | 1.85437i | ||||
\(483\) | −2.43656 | + | 1.51146i | −0.110867 | + | 0.0687737i | ||||
\(484\) | 4.45271 | + | 59.4172i | 0.202396 | + | 2.70078i | ||||
\(485\) | −27.0129 | − | 2.02434i | −1.22659 | − | 0.0919204i | ||||
\(486\) | −30.9215 | + | 20.7765i | −1.40263 | + | 0.942441i | ||||
\(487\) | 15.4696 | + | 10.5470i | 0.700995 | + | 0.477930i | 0.860620 | − | 0.509248i | \(-0.170076\pi\) |
−0.159625 | + | 0.987178i | \(0.551029\pi\) | |||||||
\(488\) | 0.264361 | + | 0.331498i | 0.0119670 | + | 0.0150062i | ||||
\(489\) | −3.95387 | + | 10.4918i | −0.178800 | + | 0.474456i | ||||
\(490\) | −30.6776 | − | 22.7050i | −1.38587 | − | 1.02571i | ||||
\(491\) | −12.8248 | − | 7.40437i | −0.578773 | − | 0.334155i | 0.181873 | − | 0.983322i | \(-0.441784\pi\) |
−0.760646 | + | 0.649167i | \(0.775117\pi\) | |||||||
\(492\) | −44.5153 | + | 14.3972i | −2.00690 | + | 0.649078i | ||||
\(493\) | −14.3496 | − | 1.07535i | −0.646272 | − | 0.0484314i | ||||
\(494\) | −2.27877 | − | 7.38759i | −0.102527 | − | 0.332383i | ||||
\(495\) | 24.9161 | + | 25.4291i | 1.11989 | + | 1.14295i | ||||
\(496\) | −4.78997 | + | 9.94648i | −0.215076 | + | 0.446610i | ||||
\(497\) | 3.94362 | − | 6.01436i | 0.176895 | − | 0.269781i | ||||
\(498\) | 26.3680 | − | 56.7149i | 1.18158 | − | 2.54146i | ||||
\(499\) | −3.39045 | − | 0.511029i | −0.151778 | − | 0.0228768i | 0.0727139 | − | 0.997353i | \(-0.476834\pi\) |
−0.224491 | + | 0.974476i | \(0.572072\pi\) | |||||||
\(500\) | 36.5769 | + | 17.6145i | 1.63577 | + | 0.787745i | ||||
\(501\) | 19.6997 | − | 6.37131i | 0.880116 | − | 0.284649i | ||||
\(502\) | −12.9806 | + | 2.96273i | −0.579351 | + | 0.132233i | ||||
\(503\) | 7.17705 | + | 8.99973i | 0.320009 | + | 0.401278i | 0.915653 | − | 0.401970i | \(-0.131675\pi\) |
−0.595644 | + | 0.803249i | \(0.703103\pi\) | |||||||
\(504\) | −8.15462 | + | 31.4162i | −0.363235 | + | 1.39939i | ||||
\(505\) | −1.22716 | + | 1.53881i | −0.0546078 | + | 0.0684760i | ||||
\(506\) | 3.37460 | − | 7.00743i | 0.150019 | − | 0.311518i | ||||
\(507\) | −13.3943 | + | 17.2728i | −0.594860 | + | 0.767112i | ||||
\(508\) | −41.4974 | −1.84115 | ||||||||
\(509\) | −5.94460 | − | 10.2963i | −0.263490 | − | 0.456377i | 0.703677 | − | 0.710520i | \(-0.251540\pi\) |
−0.967167 | + | 0.254142i | \(0.918207\pi\) | |||||||
\(510\) | 2.44515 | − | 17.8688i | 0.108273 | − | 0.791243i | ||||
\(511\) | −15.9105 | − | 8.80740i | −0.703838 | − | 0.389617i | ||||
\(512\) | 24.6092 | + | 5.61690i | 1.08759 | + | 0.248234i | ||||
\(513\) | −6.96319 | + | 26.3466i | −0.307432 | + | 1.16323i | ||||
\(514\) | −2.65673 | + | 17.6263i | −0.117184 | + | 0.777462i | ||||
\(515\) | −37.2274 | + | 14.6107i | −1.64044 | + | 0.643824i | ||||
\(516\) | −34.4103 | + | 17.1517i | −1.51483 | + | 0.755061i | ||||
\(517\) | 8.85535 | − | 9.54380i | 0.389458 | − | 0.419736i | ||||
\(518\) | 0.647135 | + | 35.8953i | 0.0284335 | + | 1.57715i | ||||
\(519\) | 7.19562 | + | 17.6252i | 0.315853 | + | 0.773661i | ||||
\(520\) | 5.75483 | 0.252366 | ||||||||
\(521\) | −12.6917 | − | 21.9826i | −0.556032 | − | 0.963075i | −0.997822 | − | 0.0659572i | \(-0.978990\pi\) |
0.441791 | − | 0.897118i | \(-0.354343\pi\) | |||||||
\(522\) | −25.7270 | + | 47.4999i | −1.12604 | + | 2.07901i | ||||
\(523\) | −14.7381 | − | 21.6169i | −0.644454 | − | 0.945240i | −0.999944 | − | 0.0105602i | \(-0.996639\pi\) |
0.355490 | − | 0.934680i | \(-0.384314\pi\) | |||||||
\(524\) | 51.5169 | + | 7.76492i | 2.25053 | + | 0.339212i | ||||
\(525\) | 0.759590 | − | 0.553863i | 0.0331512 | − | 0.0241726i | ||||
\(526\) | −16.9158 | + | 2.54965i | −0.737565 | + | 0.111170i | ||||
\(527\) | 6.10186 | + | 6.57624i | 0.265801 | + | 0.286465i | ||||
\(528\) | −6.51566 | − | 20.1460i | −0.283557 | − | 0.876740i | ||||
\(529\) | 18.6800 | − | 12.7358i | 0.812175 | − | 0.553732i | ||||
\(530\) | −11.4994 | − | 29.3000i | −0.499502 | − | 1.27271i | ||||
\(531\) | 26.9977 | − | 26.4531i | 1.17160 | − | 1.14797i | ||||
\(532\) | 23.1752 | + | 45.9844i | 1.00477 | + | 1.99368i | ||||
\(533\) | −4.47717 | + | 0.335518i | −0.193928 | + | 0.0145329i | ||||
\(534\) | 29.5550 | − | 2.61964i | 1.27897 | − | 0.113363i | ||||
\(535\) | −16.5252 | − | 3.77176i | −0.714445 | − | 0.163067i | ||||
\(536\) | 21.5601 | + | 44.7701i | 0.931256 | + | 1.93377i | ||||
\(537\) | 8.18165 | + | 1.75065i | 0.353064 | + | 0.0755462i | ||||
\(538\) | −27.2714 | + | 15.7451i | −1.17575 | + | 0.678821i | ||||
\(539\) | −19.4130 | + | 30.8035i | −0.836178 | + | 1.32680i | ||||
\(540\) | −37.3314 | − | 23.2794i | −1.60649 | − | 1.00179i | ||||
\(541\) | −29.6823 | + | 4.47388i | −1.27614 | + | 0.192347i | −0.751931 | − | 0.659242i | \(-0.770877\pi\) |
−0.524209 | + | 0.851589i | \(0.675639\pi\) | |||||||
\(542\) | 1.20427 | − | 16.0699i | 0.0517280 | − | 0.690262i | ||||
\(543\) | −22.0869 | − | 1.35329i | −0.947838 | − | 0.0580752i | ||||
\(544\) | 2.75626 | − | 4.04269i | 0.118174 | − | 0.173329i | ||||
\(545\) | 28.6581 | − | 19.5387i | 1.22758 | − | 0.836947i | ||||
\(546\) | −3.19094 | + | 5.95415i | −0.136559 | + | 0.254814i | ||||
\(547\) | 21.3645 | + | 14.5660i | 0.913478 | + | 0.622799i | 0.926164 | − | 0.377121i | \(-0.123086\pi\) |
−0.0126860 | + | 0.999920i | \(0.504038\pi\) | |||||||
\(548\) | −35.8999 | + | 14.0897i | −1.53357 | + | 0.601881i | ||||
\(549\) | 0.0379757 | − | 0.308735i | 0.00162076 | − | 0.0131765i | ||||
\(550\) | −0.931622 | + | 2.37373i | −0.0397245 | + | 0.101216i | ||||
\(551\) | 8.79314 | + | 38.5253i | 0.374601 | + | 1.64123i | ||||
\(552\) | −0.927260 | + | 4.33354i | −0.0394668 | + | 0.184448i | ||||
\(553\) | −12.3149 | + | 33.1212i | −0.523682 | + | 1.40846i | ||||
\(554\) | −43.2733 | + | 16.9835i | −1.83851 | + | 0.721560i | ||||
\(555\) | −21.5287 | − | 6.32128i | −0.913842 | − | 0.268323i | ||||
\(556\) | −3.66445 | + | 11.8798i | −0.155407 | + | 0.503817i | ||||
\(557\) | −18.4058 | + | 10.6266i | −0.779879 | + | 0.450263i | −0.836387 | − | 0.548139i | \(-0.815337\pi\) |
0.0565085 | + | 0.998402i | \(0.482003\pi\) | |||||||
\(558\) | 31.8992 | − | 10.7985i | 1.35040 | − | 0.457136i | ||||
\(559\) | −3.59711 | + | 0.821018i | −0.152142 | + | 0.0347253i | ||||
\(560\) | −13.9874 | + | 2.36687i | −0.591076 | + | 0.100018i | ||||
\(561\) | −17.1736 | − | 1.05224i | −0.725068 | − | 0.0444258i | ||||
\(562\) | −44.7144 | + | 13.7926i | −1.88616 | + | 0.581805i | ||||
\(563\) | −16.5225 | + | 20.7186i | −0.696342 | + | 0.873185i | −0.996744 | − | 0.0806272i | \(-0.974308\pi\) |
0.300402 | + | 0.953813i | \(0.402879\pi\) | |||||||
\(564\) | −7.85412 | + | 14.0415i | −0.330718 | + | 0.591254i | ||||
\(565\) | −1.77688 | − | 0.405561i | −0.0747538 | − | 0.0170621i | ||||
\(566\) | 5.74149 | − | 25.1551i | 0.241333 | − | 1.05735i | ||||
\(567\) | 20.6495 | − | 11.8573i | 0.867199 | − | 0.497961i | ||||
\(568\) | −2.47350 | − | 10.8371i | −0.103786 | − | 0.454716i | ||||
\(569\) | 8.01207i | 0.335884i | 0.985797 | + | 0.167942i | \(0.0537121\pi\) | ||||
−0.985797 | + | 0.167942i | \(0.946288\pi\) | |||||||
\(570\) | −48.8688 | + | 8.04720i | −2.04689 | + | 0.337060i | ||||
\(571\) | 1.14536 | + | 5.01813i | 0.0479316 | + | 0.210002i | 0.993223 | − | 0.116225i | \(-0.0370795\pi\) |
−0.945291 | + | 0.326228i | \(0.894222\pi\) | |||||||
\(572\) | −0.889820 | − | 11.8738i | −0.0372053 | − | 0.496470i | ||||
\(573\) | 10.8783 | + | 6.08479i | 0.454448 | + | 0.254196i | ||||
\(574\) | 44.6753 | − | 11.0477i | 1.86471 | − | 0.461123i | ||||
\(575\) | 0.100352 | − | 0.0800282i | 0.00418498 | − | 0.00333741i | ||||
\(576\) | −16.9936 | − | 27.6670i | −0.708065 | − | 1.15279i | ||||
\(577\) | −12.0713 | − | 4.73762i | −0.502533 | − | 0.197230i | 0.100513 | − | 0.994936i | \(-0.467952\pi\) |
−0.603047 | + | 0.797706i | \(0.706047\pi\) | |||||||
\(578\) | −17.9757 | − | 26.3655i | −0.747689 | − | 1.09666i | ||||
\(579\) | 22.1909 | − | 39.6727i | 0.922224 | − | 1.64874i | ||||
\(580\) | −63.6172 | − | 4.76745i | −2.64156 | − | 0.197958i | ||||
\(581\) | −19.3616 | + | 34.9765i | −0.803254 | + | 1.45107i | ||||
\(582\) | −11.5870 | − | 47.7610i | −0.480295 | − | 1.97976i | ||||
\(583\) | −27.0543 | + | 13.0287i | −1.12048 | + | 0.539593i | ||||
\(584\) | −26.8586 | + | 8.28477i | −1.11142 | + | 0.342826i | ||||
\(585\) | −2.95478 | − | 3.01562i | −0.122165 | − | 0.124681i | ||||
\(586\) | 6.10029 | + | 40.4728i | 0.252001 | + | 1.67192i | ||||
\(587\) | 10.5278 | + | 18.2346i | 0.434527 | + | 0.752624i | 0.997257 | − | 0.0740175i | \(-0.0235821\pi\) |
−0.562730 | + | 0.826641i | \(0.690249\pi\) | |||||||
\(588\) | 14.3392 | − | 42.6490i | 0.591338 | − | 1.75881i | ||||
\(589\) | 12.3177 | − | 21.3350i | 0.507544 | − | 0.879091i | ||||
\(590\) | 63.9453 | + | 25.0967i | 2.63258 | + | 1.03321i | ||||
\(591\) | 14.1661 | + | 20.1824i | 0.582717 | + | 0.830193i | ||||
\(592\) | 9.78218 | + | 9.07654i | 0.402045 | + | 0.373044i | ||||
\(593\) | −0.231356 | + | 3.08723i | −0.00950063 | + | 0.126777i | −0.999937 | − | 0.0111904i | \(-0.996438\pi\) |
0.990437 | + | 0.137968i | \(0.0440570\pi\) | |||||||
\(594\) | −29.9860 | + | 57.2084i | −1.23034 | + | 2.34729i | ||||
\(595\) | −2.36220 | + | 11.2833i | −0.0968408 | + | 0.462571i | ||||
\(596\) | 40.3360 | − | 59.1620i | 1.65223 | − | 2.42337i | ||||
\(597\) | −0.228443 | − | 16.7899i | −0.00934956 | − | 0.687167i | ||||
\(598\) | −0.400192 | + | 0.831008i | −0.0163651 | + | 0.0339825i | ||||
\(599\) | 22.7681 | − | 18.1570i | 0.930279 | − | 0.741873i | −0.0360047 | − | 0.999352i | \(-0.511463\pi\) |
0.966284 | + | 0.257479i | \(0.0828917\pi\) | |||||||
\(600\) | 0.196987 | − | 1.43955i | 0.00804196 | − | 0.0587694i | ||||
\(601\) | 2.02988 | + | 0.796669i | 0.0828005 | + | 0.0324968i | 0.406380 | − | 0.913704i | \(-0.366791\pi\) |
−0.323579 | + | 0.946201i | \(0.604886\pi\) | |||||||
\(602\) | 34.9505 | − | 14.4494i | 1.42448 | − | 0.588914i | ||||
\(603\) | 12.3903 | − | 34.2848i | 0.504573 | − | 1.39619i | ||||
\(604\) | 28.4210 | − | 19.3771i | 1.15643 | − | 0.788444i | ||||
\(605\) | 35.0028 | + | 10.7969i | 1.42307 | + | 0.438958i | ||||
\(606\) | −3.34148 | − | 1.25925i | −0.135738 | − | 0.0511534i | ||||
\(607\) | 18.3324 | − | 10.5842i | 0.744088 | − | 0.429600i | −0.0794657 | − | 0.996838i | \(-0.525321\pi\) |
0.823554 | + | 0.567238i | \(0.191988\pi\) | |||||||
\(608\) | −12.8395 | − | 3.96045i | −0.520709 | − | 0.160617i | ||||
\(609\) | 18.5387 | − | 29.1297i | 0.751224 | − | 1.18040i | ||||
\(610\) | 0.540214 | − | 0.166634i | 0.0218726 | − | 0.00674682i | ||||
\(611\) | −1.05015 | + | 1.13179i | −0.0424846 | + | 0.0457875i | ||||
\(612\) | 20.9309 | − | 3.73985i | 0.846083 | − | 0.151174i | ||||
\(613\) | −37.7894 | − | 5.69583i | −1.52630 | − | 0.230052i | −0.668373 | − | 0.743826i | \(-0.733009\pi\) |
−0.857926 | + | 0.513774i | \(0.828247\pi\) | |||||||
\(614\) | 3.22339 | − | 14.1226i | 0.130085 | − | 0.569941i | ||||
\(615\) | −1.75900 | + | 28.7084i | −0.0709297 | + | 1.15764i | ||||
\(616\) | 13.5094 | + | 54.6298i | 0.544308 | + | 2.20110i | ||||
\(617\) | −1.54879 | + | 5.02104i | −0.0623518 | + | 0.202140i | −0.981389 | − | 0.192032i | \(-0.938492\pi\) |
0.919037 | + | 0.394172i | \(0.128968\pi\) | |||||||
\(618\) | −46.0059 | − | 56.1064i | −1.85063 | − | 2.25693i | ||||
\(619\) | 30.1560 | + | 17.4106i | 1.21207 | + | 0.699791i | 0.963211 | − | 0.268748i | \(-0.0866099\pi\) |
0.248863 | + | 0.968539i | \(0.419943\pi\) | |||||||
\(620\) | 27.0519 | + | 29.1550i | 1.08643 | + | 1.17089i | ||||
\(621\) | 2.74694 | − | 1.73913i | 0.110231 | − | 0.0697889i | ||||
\(622\) | 16.7906 | + | 13.3900i | 0.673241 | + | 0.536892i | ||||
\(623\) | −18.9621 | + | 0.341857i | −0.759702 | + | 0.0136962i | ||||
\(624\) | 0.772688 | + | 2.38910i | 0.0309323 | + | 0.0956405i | ||||
\(625\) | 19.0473 | − | 17.6734i | 0.761894 | − | 0.706934i | ||||
\(626\) | 25.7448 | + | 32.2830i | 1.02897 | + | 1.29029i | ||||
\(627\) | 11.1396 | + | 45.9170i | 0.444873 | + | 1.83375i | ||||
\(628\) | −50.8491 | − | 40.5508i | −2.02910 | − | 1.61815i | ||||
\(629\) | 9.76999 | − | 4.70498i | 0.389555 | − | 0.187600i | ||||
\(630\) | 35.0201 | + | 25.4245i | 1.39523 | + | 1.01294i | ||||
\(631\) | −4.39900 | − | 2.11845i | −0.175122 | − | 0.0843341i | 0.344269 | − | 0.938871i | \(-0.388127\pi\) |
−0.519391 | + | 0.854537i | \(0.673841\pi\) | |||||||
\(632\) | 23.6969 | + | 49.2070i | 0.942610 | + | 1.95735i | ||||
\(633\) | 21.5578 | + | 14.2722i | 0.856846 | + | 0.567267i | ||||
\(634\) | −9.47303 | + | 4.56197i | −0.376222 | + | 0.181179i | ||||
\(635\) | −9.32030 | + | 23.7477i | −0.369865 | + | 0.942400i | ||||
\(636\) | 28.6946 | − | 23.5289i | 1.13782 | − | 0.932982i | ||||
\(637\) | 2.30218 | − | 3.65297i | 0.0912157 | − | 0.144736i | ||||
\(638\) | 93.6607i | 3.70806i | ||||||||
\(639\) | −4.40882 | + | 6.86042i | −0.174410 | + | 0.271394i | ||||
\(640\) | 26.6562 | − | 39.0974i | 1.05368 | − | 1.54546i | ||||
\(641\) | 5.38282 | − | 5.80130i | 0.212609 | − | 0.229138i | −0.617739 | − | 0.786383i | \(-0.711951\pi\) |
0.830348 | + | 0.557245i | \(0.188142\pi\) | |||||||
\(642\) | −2.71512 | − | 30.6323i | −0.107157 | − | 1.20896i | ||||
\(643\) | 18.0279 | + | 26.4421i | 0.710952 | + | 1.04278i | 0.996433 | + | 0.0843908i | \(0.0268944\pi\) |
−0.285481 | + | 0.958384i | \(0.592153\pi\) | |||||||
\(644\) | 1.70471 | − | 5.90224i | 0.0671751 | − | 0.232581i | ||||
\(645\) | 2.08687 | + | 23.5443i | 0.0821704 | + | 0.927055i | ||||
\(646\) | 14.9238 | − | 18.7139i | 0.587170 | − | 0.736288i | ||||
\(647\) | −1.21356 | − | 16.1938i | −0.0477099 | − | 0.636644i | −0.968887 | − | 0.247502i | \(-0.920390\pi\) |
0.921178 | − | 0.389142i | \(-0.127229\pi\) | |||||||
\(648\) | 8.91893 | − | 35.7060i | 0.350369 | − | 1.40267i | ||||
\(649\) | 19.3165 | − | 62.6227i | 0.758241 | − | 2.45816i | ||||
\(650\) | 0.110481 | − | 0.281500i | 0.00433341 | − | 0.0110413i | ||||
\(651\) | −20.8245 | + | 5.45135i | −0.816175 | + | 0.213655i | ||||
\(652\) | −8.77668 | − | 22.3626i | −0.343721 | − | 0.875788i | ||||
\(653\) | 10.2848 | − | 0.770737i | 0.402474 | − | 0.0301613i | 0.128044 | − | 0.991768i | \(-0.459130\pi\) |
0.274430 | + | 0.961607i | \(0.411511\pi\) | |||||||
\(654\) | 49.7286 | + | 38.5622i | 1.94454 | + | 1.50790i | ||||
\(655\) | 16.0143 | − | 27.7376i | 0.625731 | − | 1.08380i | ||||
\(656\) | 8.55301 | − | 14.8142i | 0.333939 | − | 0.578399i | ||||
\(657\) | 18.1317 | + | 9.82055i | 0.707386 | + | 0.383136i | ||||
\(658\) | 8.67791 | − | 13.2346i | 0.338300 | − | 0.515937i | ||||
\(659\) | −7.76847 | − | 25.1847i | −0.302616 | − | 0.981058i | −0.971369 | − | 0.237574i | \(-0.923648\pi\) |
0.668753 | − | 0.743485i | \(-0.266828\pi\) | |||||||
\(660\) | −76.1371 | − | 4.66501i | −2.96363 | − | 0.181585i | ||||
\(661\) | 4.79058 | + | 3.82036i | 0.186332 | + | 0.148595i | 0.712213 | − | 0.701963i | \(-0.247693\pi\) |
−0.525881 | + | 0.850558i | \(0.676264\pi\) | |||||||
\(662\) | 32.3523 | + | 25.8001i | 1.25741 | + | 1.00275i | ||||
\(663\) | 2.03660 | + | 0.124785i | 0.0790952 | + | 0.00484626i | ||||
\(664\) | 18.2127 | + | 59.0440i | 0.706788 | + | 2.29135i | ||||
\(665\) | 31.5207 | − | 2.93438i | 1.22232 | − | 0.113790i | ||||
\(666\) | −1.10754 | − | 40.6930i | −0.0429163 | − | 1.57682i | ||||
\(667\) | 2.35722 | − | 4.08282i | 0.0912719 | − | 0.158088i | ||||
\(668\) | −22.1807 | + | 38.4182i | −0.858199 | + | 1.48644i | ||||
\(669\) | −15.3544 | − | 11.9066i | −0.593636 | − | 0.460337i | ||||
\(670\) | 66.0689 | − | 4.95118i | 2.55246 | − | 0.191281i | ||||
\(671\) | −0.197039 | − | 0.502046i | −0.00760659 | − | 0.0193813i | ||||
\(672\) | 5.42603 | + | 10.4115i | 0.209314 | + | 0.401631i | ||||
\(673\) | 0.364579 | − | 0.928931i | 0.0140535 | − | 0.0358077i | −0.923675 | − | 0.383177i | \(-0.874830\pi\) |
0.937728 | + | 0.347370i | \(0.112925\pi\) | |||||||
\(674\) | −14.4019 | + | 46.6898i | −0.554740 | + | 1.79842i | ||||
\(675\) | −0.855490 | + | 0.635905i | −0.0329278 | + | 0.0244760i | ||||
\(676\) | −3.49980 | − | 46.7016i | −0.134608 | − | 1.79621i | ||||
\(677\) | −1.18452 | + | 1.48535i | −0.0455249 | + | 0.0570865i | −0.804073 | − | 0.594531i | \(-0.797338\pi\) |
0.758548 | + | 0.651617i | \(0.225909\pi\) | |||||||
\(678\) | −0.291945 | − | 3.29375i | −0.0112121 | − | 0.126496i | ||||
\(679\) | 5.24114 | + | 30.9735i | 0.201137 | + | 1.18865i | ||||
\(680\) | 10.0369 | + | 14.7214i | 0.384897 | + | 0.564541i | ||||
\(681\) | −2.51517 | − | 28.3764i | −0.0963814 | − | 1.08738i | ||||
\(682\) | 39.7159 | − | 42.8036i | 1.52080 | − | 1.63903i | ||||
\(683\) | −1.31320 | + | 1.92611i | −0.0502481 | + | 0.0737004i | −0.850541 | − | 0.525909i | \(-0.823725\pi\) |
0.800293 | + | 0.599610i | \(0.204678\pi\) | |||||||
\(684\) | −26.7559 | − | 51.8979i | −1.02304 | − | 1.98437i | ||||
\(685\) | 23.7090i | 0.905875i | ||||||||
\(686\) | −17.0200 | + | 40.8563i | −0.649827 | + | 1.55990i | ||||
\(687\) | 23.4881 | − | 19.2597i | 0.896126 | − | 0.734802i | ||||
\(688\) | 5.13581 | − | 13.0858i | 0.195801 | − | 0.498892i | ||||
\(689\) | 3.20836 | − | 1.54506i | 0.122229 | − | 0.0588623i | ||||
\(690\) | 4.92690 | + | 3.26181i | 0.187564 | + | 0.124175i | ||||
\(691\) | 0.0948732 | + | 0.197006i | 0.00360915 | + | 0.00749447i | 0.902766 | − | 0.430133i | \(-0.141533\pi\) |
−0.899157 | + | 0.437627i | \(0.855819\pi\) | |||||||
\(692\) | −36.7505 | − | 17.6981i | −1.39705 | − | 0.672782i | ||||
\(693\) | 21.6906 | − | 35.1285i | 0.823958 | − | 1.33442i | ||||
\(694\) | −74.4097 | + | 35.8338i | −2.82455 | + | 1.36023i | ||||
\(695\) | 5.97545 | + | 4.76527i | 0.226662 | + | 0.180757i | ||||
\(696\) | −12.5820 | − | 51.8625i | −0.476919 | − | 1.96584i | ||||
\(697\) | −8.66685 | − | 10.8679i | −0.328280 | − | 0.411651i | ||||
\(698\) | 43.9334 | − | 40.7643i | 1.66290 | − | 1.54295i | ||||
\(699\) | −10.9185 | − | 33.7593i | −0.412977 | − | 1.27690i | ||||
\(700\) | −0.412737 | + | 1.97148i | −0.0156000 | + | 0.0745150i | ||||
\(701\) | 31.4744 | + | 25.1000i | 1.18877 | + | 0.948015i | 0.999425 | − | 0.0338947i | \(-0.0107911\pi\) |
0.189348 | + | 0.981910i | \(0.439363\pi\) | |||||||
\(702\) | 3.55603 | − | 6.78432i | 0.134214 | − | 0.256058i | ||||
\(703\) | −20.2545 | − | 21.8292i | −0.763914 | − | 0.823303i | ||||
\(704\) | −48.7536 | − | 28.1479i | −1.83747 | − | 1.06087i | ||||
\(705\) | 6.27151 | + | 7.64840i | 0.236199 | + | 0.288056i | ||||
\(706\) | 23.1345 | − | 75.0001i | 0.870677 | − | 2.82267i | ||||
\(707\) | 2.07394 | + | 0.953094i | 0.0779987 | + | 0.0358448i | ||||
\(708\) | −4.95278 | + | 80.8338i | −0.186137 | + | 3.03792i | ||||
\(709\) | 6.07496 | − | 26.6161i | 0.228150 | − | 0.999590i | −0.722997 | − | 0.690851i | \(-0.757236\pi\) |
0.951147 | − | 0.308739i | \(-0.0999068\pi\) | |||||||
\(710\) | −14.6554 | − | 2.20895i | −0.550008 | − | 0.0829004i | ||||
\(711\) | 13.6183 | − | 37.6826i | 0.510725 | − | 1.41321i | ||||
\(712\) | −19.9375 | + | 21.4875i | −0.747189 | + | 0.805278i | ||||
\(713\) | −2.80855 | + | 0.866322i | −0.105181 | + | 0.0324440i | ||||
\(714\) | −20.7966 | + | 2.22180i | −0.778292 | + | 0.0831489i | ||||
\(715\) | −6.99490 | − | 2.15764i | −0.261594 | − | 0.0806912i | ||||
\(716\) | −15.5252 | + | 8.96348i | −0.580204 | + | 0.334981i | ||||
\(717\) | 43.5956 | + | 16.4291i | 1.62811 | + | 0.613557i | ||||
\(718\) | −26.6039 | − | 8.20621i | −0.992848 | − | 0.306253i | ||||
\(719\) | 19.2131 | − | 13.0992i | 0.716526 | − | 0.488519i | −0.149346 | − | 0.988785i | \(-0.547717\pi\) |
0.865872 | + | 0.500266i | \(0.166764\pi\) | |||||||
\(720\) | 15.8349 | − | 2.82932i | 0.590133 | − | 0.105442i | ||||
\(721\) | 26.8117 | + | 37.8415i | 0.998520 | + | 1.40929i | ||||
\(722\) | −18.9197 | − | 7.42545i | −0.704120 | − | 0.276347i | ||||
\(723\) | 4.01161 | − | 29.3162i | 0.149193 | − | 1.09028i | ||||
\(724\) | 37.0685 | − | 29.5612i | 1.37764 | − | 1.09863i | ||||
\(725\) | −0.670649 | + | 1.39262i | −0.0249073 | + | 0.0517205i | ||||
\(726\) | 0.904135 | + | 66.4514i | 0.0335556 | + | 2.46624i | ||||
\(727\) | −23.2845 | + | 34.1522i | −0.863576 | + | 1.26663i | 0.0988537 | + | 0.995102i | \(0.468482\pi\) |
−0.962430 | + | 0.271531i | \(0.912470\pi\) | |||||||
\(728\) | −1.60207 | − | 6.47852i | −0.0593767 | − | 0.240110i | ||||
\(729\) | −23.2899 | + | 13.6594i | −0.862590 | + | 0.505904i | ||||
\(730\) | −2.80059 | + | 37.3713i | −0.103654 | + | 1.38317i | ||||
\(731\) | −8.37391 | − | 7.76985i | −0.309720 | − | 0.287378i | ||||
\(732\) | 0.382902 | + | 0.545518i | 0.0141525 | + | 0.0201629i | ||||
\(733\) | −28.9659 | − | 11.3683i | −1.06988 | − | 0.419897i | −0.235950 | − | 0.971765i | \(-0.575820\pi\) |
−0.833932 | + | 0.551868i | \(0.813915\pi\) | |||||||
\(734\) | −2.54423 | + | 4.40673i | −0.0939092 | + | 0.162655i | ||||
\(735\) | −21.1862 | − | 17.7849i | −0.781464 | − | 0.656004i | ||||
\(736\) | 0.801512 | + | 1.38826i | 0.0295441 | + | 0.0511719i | ||||
\(737\) | −9.42048 | − | 62.5008i | −0.347008 | − | 2.30225i | ||||
\(738\) | −50.5398 | + | 12.9916i | −1.86040 | + | 0.478228i | ||||
\(739\) | −7.05135 | + | 2.17505i | −0.259388 | + | 0.0800107i | −0.421722 | − | 0.906725i | \(-0.638574\pi\) |
0.162334 | + | 0.986736i | \(0.448098\pi\) | |||||||
\(740\) | 43.3142 | − | 20.8590i | 1.59226 | − | 0.766792i | ||||
\(741\) | −1.32104 | − | 5.44528i | −0.0485296 | − | 0.200037i | ||||
\(742\) | −29.7833 | + | 21.1022i | −1.09338 | + | 0.774688i | ||||
\(743\) | −11.6020 | − | 0.869446i | −0.425634 | − | 0.0318969i | −0.139809 | − | 0.990179i | \(-0.544649\pi\) |
−0.285826 | + | 0.958282i | \(0.592268\pi\) | |||||||
\(744\) | −16.2417 | + | 29.0368i | −0.595450 | + | 1.06454i | ||||
\(745\) | −24.7972 | − | 36.3709i | −0.908501 | − | 1.33253i | ||||
\(746\) | −10.4267 | − | 4.09219i | −0.381750 | − | 0.149826i | ||||
\(747\) | 21.5888 | − | 39.8595i | 0.789894 | − | 1.45838i | ||||
\(748\) | 28.8225 | − | 22.9852i | 1.05386 | − | 0.840422i | ||||
\(749\) | 0.354318 | + | 19.6533i | 0.0129465 | + | 0.718116i | ||||
\(750\) | 39.5187 | + | 22.1048i | 1.44302 | + | 0.807152i | ||||
\(751\) | 2.77419 | + | 37.0189i | 0.101231 | + | 1.35084i | 0.784253 | + | 0.620441i | \(0.213047\pi\) |
−0.683021 | + | 0.730398i | \(0.739334\pi\) | |||||||
\(752\) | −1.30898 | − | 5.73501i | −0.0477335 | − | 0.209134i | ||||
\(753\) | −9.52163 | + | 1.56792i | −0.346988 | + | 0.0571382i | ||||
\(754\) | − | 11.1072i | − | 0.404500i | ||||||
\(755\) | −4.70561 | − | 20.6166i | −0.171255 | − | 0.750315i | ||||
\(756\) | −15.8143 | + | 48.5067i | −0.575161 | + | 1.76417i | ||||
\(757\) | −8.45735 | + | 37.0541i | −0.307388 | + | 1.34675i | 0.551323 | + | 0.834292i | \(0.314123\pi\) |
−0.858711 | + | 0.512461i | \(0.828734\pi\) | |||||||
\(758\) | −20.2679 | − | 4.62601i | −0.736162 | − | 0.168024i | ||||
\(759\) | 2.75183 | − | 4.91969i | 0.0998851 | − | 0.178573i | ||||
\(760\) | 30.5065 | − | 38.2539i | 1.10659 | − | 1.38761i | ||||
\(761\) | 6.74462 | − | 2.08044i | 0.244492 | − | 0.0754158i | −0.170087 | − | 0.985429i | \(-0.554405\pi\) |
0.414579 | + | 0.910013i | \(0.363929\pi\) | |||||||
\(762\) | −46.1980 | − | 2.83060i | −1.67358 | − | 0.102542i | ||||
\(763\) | −29.9739 | − | 26.8226i | −1.08513 | − | 0.971044i | ||||
\(764\) | −26.0370 | + | 5.94277i | −0.941985 | + | 0.215002i | ||||
\(765\) | 2.56088 | − | 12.8181i | 0.0925886 | − | 0.463440i | ||||
\(766\) | 12.7114 | − | 7.33895i | 0.459283 | − | 0.265167i | ||||
\(767\) | −2.29074 | + | 7.42640i | −0.0827138 | + | 0.268152i | ||||
\(768\) | 46.4005 | + | 13.6242i | 1.67434 | + | 0.491620i | ||||
\(769\) | 20.8070 | − | 8.16614i | 0.750319 | − | 0.294478i | 0.0408023 | − | 0.999167i | \(-0.487009\pi\) |
0.709517 | + | 0.704689i | \(0.248913\pi\) | |||||||
\(770\) | 74.3847 | + | 9.84390i | 2.68064 | + | 0.354750i | ||||
\(771\) | −2.70319 |