Newspace parameters
Level: | \( N \) | \(=\) | \( 240 = 2^{4} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 240.bl (of order \(4\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(1.91640964851\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 229.18 | ||
Character | \(\chi\) | \(=\) | 240.229 |
Dual form | 240.2.bl.a.109.18 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(161\) | \(181\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.903247 | + | 1.08818i | 0.638692 | + | 0.769462i | ||||
\(3\) | 0.707107 | + | 0.707107i | 0.408248 | + | 0.408248i | ||||
\(4\) | −0.368289 | + | 1.96580i | −0.184144 | + | 0.982899i | ||||
\(5\) | −2.09919 | + | 0.770325i | −0.938786 | + | 0.344500i | ||||
\(6\) | −0.130770 | + | 1.40815i | −0.0533866 | + | 0.574877i | ||||
\(7\) | 3.05002 | 1.15280 | 0.576400 | − | 0.817168i | \(-0.304457\pi\) | ||||
0.576400 | + | 0.817168i | \(0.304457\pi\) | |||||||
\(8\) | −2.47181 | + | 1.37484i | −0.873915 | + | 0.486078i | ||||
\(9\) | 1.00000i | 0.333333i | ||||||||
\(10\) | −2.73434 | − | 1.58851i | −0.864675 | − | 0.502331i | ||||
\(11\) | −1.80989 | − | 1.80989i | −0.545702 | − | 0.545702i | 0.379493 | − | 0.925195i | \(-0.376099\pi\) |
−0.925195 | + | 0.379493i | \(0.876099\pi\) | |||||||
\(12\) | −1.65045 | + | 1.12961i | −0.476444 | + | 0.326090i | ||||
\(13\) | 2.47057 | + | 2.47057i | 0.685214 | + | 0.685214i | 0.961170 | − | 0.275956i | \(-0.0889946\pi\) |
−0.275956 | + | 0.961170i | \(0.588995\pi\) | |||||||
\(14\) | 2.75492 | + | 3.31898i | 0.736284 | + | 0.887036i | ||||
\(15\) | −2.02905 | − | 0.939649i | −0.523899 | − | 0.242616i | ||||
\(16\) | −3.72873 | − | 1.44796i | −0.932182 | − | 0.361991i | ||||
\(17\) | − | 3.66653i | − | 0.889265i | −0.895713 | − | 0.444632i | \(-0.853334\pi\) | ||
0.895713 | − | 0.444632i | \(-0.146666\pi\) | |||||||
\(18\) | −1.08818 | + | 0.903247i | −0.256487 | + | 0.212897i | ||||
\(19\) | −2.31596 | + | 2.31596i | −0.531318 | + | 0.531318i | −0.920964 | − | 0.389647i | \(-0.872597\pi\) |
0.389647 | + | 0.920964i | \(0.372597\pi\) | |||||||
\(20\) | −0.741196 | − | 4.41029i | −0.165736 | − | 0.986170i | ||||
\(21\) | 2.15669 | + | 2.15669i | 0.470629 | + | 0.470629i | ||||
\(22\) | 0.334715 | − | 3.60427i | 0.0713615 | − | 0.768433i | ||||
\(23\) | 4.86336 | 1.01408 | 0.507040 | − | 0.861922i | \(-0.330740\pi\) | ||||
0.507040 | + | 0.861922i | \(0.330740\pi\) | |||||||
\(24\) | −2.71999 | − | 0.775675i | −0.555215 | − | 0.158334i | ||||
\(25\) | 3.81320 | − | 3.23412i | 0.762640 | − | 0.646824i | ||||
\(26\) | −0.456900 | + | 4.91998i | −0.0896054 | + | 0.964887i | ||||
\(27\) | −0.707107 | + | 0.707107i | −0.136083 | + | 0.136083i | ||||
\(28\) | −1.12329 | + | 5.99573i | −0.212282 | + | 1.13309i | ||||
\(29\) | 4.74672 | − | 4.74672i | 0.881444 | − | 0.881444i | −0.112237 | − | 0.993681i | \(-0.535802\pi\) |
0.993681 | + | 0.112237i | \(0.0358017\pi\) | |||||||
\(30\) | −0.810226 | − | 3.05672i | −0.147926 | − | 0.558078i | ||||
\(31\) | 1.86172 | 0.334375 | 0.167188 | − | 0.985925i | \(-0.446531\pi\) | ||||
0.167188 | + | 0.985925i | \(0.446531\pi\) | |||||||
\(32\) | −1.79231 | − | 5.36541i | −0.316839 | − | 0.948479i | ||||
\(33\) | − | 2.55957i | − | 0.445564i | ||||||
\(34\) | 3.98986 | − | 3.31179i | 0.684256 | − | 0.567966i | ||||
\(35\) | −6.40257 | + | 2.34951i | −1.08223 | + | 0.397139i | ||||
\(36\) | −1.96580 | − | 0.368289i | −0.327633 | − | 0.0613815i | ||||
\(37\) | 5.40092 | − | 5.40092i | 0.887905 | − | 0.887905i | −0.106416 | − | 0.994322i | \(-0.533938\pi\) |
0.994322 | + | 0.106416i | \(0.0339376\pi\) | |||||||
\(38\) | −4.61208 | − | 0.428306i | −0.748178 | − | 0.0694804i | ||||
\(39\) | 3.49392i | 0.559475i | ||||||||
\(40\) | 4.12972 | − | 4.79014i | 0.652966 | − | 0.757387i | ||||
\(41\) | − | 6.47424i | − | 1.01111i | −0.862796 | − | 0.505553i | \(-0.831288\pi\) | ||
0.862796 | − | 0.505553i | \(-0.168712\pi\) | |||||||
\(42\) | −0.398851 | + | 4.29490i | −0.0615441 | + | 0.662718i | ||||
\(43\) | −4.19382 | + | 4.19382i | −0.639551 | + | 0.639551i | −0.950445 | − | 0.310893i | \(-0.899372\pi\) |
0.310893 | + | 0.950445i | \(0.399372\pi\) | |||||||
\(44\) | 4.22444 | − | 2.89131i | 0.636858 | − | 0.435882i | ||||
\(45\) | −0.770325 | − | 2.09919i | −0.114833 | − | 0.312929i | ||||
\(46\) | 4.39282 | + | 5.29223i | 0.647685 | + | 0.780297i | ||||
\(47\) | 8.24387i | 1.20249i | 0.799064 | + | 0.601246i | \(0.205329\pi\) | ||||
−0.799064 | + | 0.601246i | \(0.794671\pi\) | |||||||
\(48\) | −1.61274 | − | 3.66047i | −0.232779 | − | 0.528344i | ||||
\(49\) | 2.30263 | 0.328947 | ||||||||
\(50\) | 6.96358 | + | 1.22825i | 0.984798 | + | 0.173701i | ||||
\(51\) | 2.59263 | − | 2.59263i | 0.363041 | − | 0.363041i | ||||
\(52\) | −5.76653 | + | 3.94676i | −0.799674 | + | 0.547318i | ||||
\(53\) | −9.99761 | + | 9.99761i | −1.37328 | + | 1.37328i | −0.517739 | + | 0.855539i | \(0.673226\pi\) |
−0.855539 | + | 0.517739i | \(0.826774\pi\) | |||||||
\(54\) | −1.40815 | − | 0.130770i | −0.191626 | − | 0.0177955i | ||||
\(55\) | 5.19350 | + | 2.40510i | 0.700292 | + | 0.324303i | ||||
\(56\) | −7.53906 | + | 4.19328i | −1.00745 | + | 0.560351i | ||||
\(57\) | −3.27526 | −0.433819 | ||||||||
\(58\) | 9.45277 | + | 0.877843i | 1.24121 | + | 0.115266i | ||||
\(59\) | −2.47155 | − | 2.47155i | −0.321769 | − | 0.321769i | 0.527676 | − | 0.849445i | \(-0.323063\pi\) |
−0.849445 | + | 0.527676i | \(0.823063\pi\) | |||||||
\(60\) | 2.59444 | − | 3.64265i | 0.334941 | − | 0.470264i | ||||
\(61\) | 8.01822 | − | 8.01822i | 1.02663 | − | 1.02663i | 0.0269927 | − | 0.999636i | \(-0.491407\pi\) |
0.999636 | − | 0.0269927i | \(-0.00859310\pi\) | |||||||
\(62\) | 1.68160 | + | 2.02590i | 0.213563 | + | 0.257289i | ||||
\(63\) | 3.05002i | 0.384267i | ||||||||
\(64\) | 4.21965 | − | 6.79666i | 0.527456 | − | 0.849582i | ||||
\(65\) | −7.08935 | − | 3.28306i | −0.879325 | − | 0.407213i | ||||
\(66\) | 2.78528 | − | 2.31192i | 0.342845 | − | 0.284578i | ||||
\(67\) | −8.60064 | − | 8.60064i | −1.05074 | − | 1.05074i | −0.998642 | − | 0.0520936i | \(-0.983411\pi\) |
−0.0520936 | − | 0.998642i | \(-0.516589\pi\) | |||||||
\(68\) | 7.20766 | + | 1.35034i | 0.874058 | + | 0.163753i | ||||
\(69\) | 3.43891 | + | 3.43891i | 0.413997 | + | 0.413997i | ||||
\(70\) | −8.33981 | − | 4.84499i | −0.996797 | − | 0.579087i | ||||
\(71\) | − | 6.63653i | − | 0.787611i | −0.919194 | − | 0.393806i | \(-0.871158\pi\) | ||
0.919194 | − | 0.393806i | \(-0.128842\pi\) | |||||||
\(72\) | −1.37484 | − | 2.47181i | −0.162026 | − | 0.291305i | ||||
\(73\) | 2.70041 | 0.316059 | 0.158030 | − | 0.987434i | \(-0.449486\pi\) | ||||
0.158030 | + | 0.987434i | \(0.449486\pi\) | |||||||
\(74\) | 10.7556 | + | 0.998828i | 1.25031 | + | 0.116111i | ||||
\(75\) | 4.98321 | + | 0.409472i | 0.575411 | + | 0.0472817i | ||||
\(76\) | −3.69977 | − | 5.40565i | −0.424393 | − | 0.620071i | ||||
\(77\) | −5.52020 | − | 5.52020i | −0.629085 | − | 0.629085i | ||||
\(78\) | −3.80203 | + | 3.15587i | −0.430495 | + | 0.357332i | ||||
\(79\) | −10.9690 | −1.23411 | −0.617054 | − | 0.786921i | \(-0.711674\pi\) | ||||
−0.617054 | + | 0.786921i | \(0.711674\pi\) | |||||||
\(80\) | 8.94271 | + | 0.167218i | 0.999825 | + | 0.0186955i | ||||
\(81\) | −1.00000 | −0.111111 | ||||||||
\(82\) | 7.04516 | − | 5.84784i | 0.778008 | − | 0.645786i | ||||
\(83\) | 3.65688 | + | 3.65688i | 0.401395 | + | 0.401395i | 0.878724 | − | 0.477330i | \(-0.158395\pi\) |
−0.477330 | + | 0.878724i | \(0.658395\pi\) | |||||||
\(84\) | −5.03390 | + | 3.44533i | −0.549244 | + | 0.375917i | ||||
\(85\) | 2.82442 | + | 7.69675i | 0.306352 | + | 0.834830i | ||||
\(86\) | −8.35170 | − | 0.775591i | −0.900587 | − | 0.0836341i | ||||
\(87\) | 6.71288 | 0.719696 | ||||||||
\(88\) | 6.96199 | + | 1.98539i | 0.742151 | + | 0.211644i | ||||
\(89\) | 13.1530i | 1.39421i | 0.716968 | + | 0.697106i | \(0.245529\pi\) | ||||
−0.716968 | + | 0.697106i | \(0.754471\pi\) | |||||||
\(90\) | 1.58851 | − | 2.73434i | 0.167444 | − | 0.288225i | ||||
\(91\) | 7.53530 | + | 7.53530i | 0.789914 | + | 0.789914i | ||||
\(92\) | −1.79112 | + | 9.56038i | −0.186737 | + | 0.996739i | ||||
\(93\) | 1.31644 | + | 1.31644i | 0.136508 | + | 0.136508i | ||||
\(94\) | −8.97085 | + | 7.44625i | −0.925272 | + | 0.768022i | ||||
\(95\) | 3.07760 | − | 6.64569i | 0.315755 | − | 0.681833i | ||||
\(96\) | 2.52656 | − | 5.06127i | 0.257866 | − | 0.516564i | ||||
\(97\) | − | 12.4932i | − | 1.26849i | −0.773131 | − | 0.634247i | \(-0.781310\pi\) | ||
0.773131 | − | 0.634247i | \(-0.218690\pi\) | |||||||
\(98\) | 2.07985 | + | 2.50569i | 0.210096 | + | 0.253113i | ||||
\(99\) | 1.80989 | − | 1.80989i | 0.181901 | − | 0.181901i | ||||
\(100\) | 4.95327 | + | 8.68707i | 0.495327 | + | 0.868707i | ||||
\(101\) | 0.569518 | + | 0.569518i | 0.0566692 | + | 0.0566692i | 0.734873 | − | 0.678204i | \(-0.237242\pi\) |
−0.678204 | + | 0.734873i | \(0.737242\pi\) | |||||||
\(102\) | 5.16304 | + | 0.479473i | 0.511218 | + | 0.0474749i | ||||
\(103\) | −12.2060 | −1.20269 | −0.601345 | − | 0.798989i | \(-0.705368\pi\) | ||||
−0.601345 | + | 0.798989i | \(0.705368\pi\) | |||||||
\(104\) | −9.50341 | − | 2.71014i | −0.931886 | − | 0.265752i | ||||
\(105\) | −6.18866 | − | 2.86595i | −0.603951 | − | 0.279688i | ||||
\(106\) | −19.9096 | − | 1.84893i | −1.93379 | − | 0.179584i | ||||
\(107\) | −7.99550 | + | 7.99550i | −0.772955 | + | 0.772955i | −0.978622 | − | 0.205667i | \(-0.934063\pi\) |
0.205667 | + | 0.978622i | \(0.434063\pi\) | |||||||
\(108\) | −1.12961 | − | 1.65045i | −0.108697 | − | 0.158815i | ||||
\(109\) | −7.07511 | + | 7.07511i | −0.677672 | + | 0.677672i | −0.959473 | − | 0.281801i | \(-0.909068\pi\) |
0.281801 | + | 0.959473i | \(0.409068\pi\) | |||||||
\(110\) | 2.07383 | + | 7.82388i | 0.197732 | + | 0.745978i | ||||
\(111\) | 7.63805 | 0.724972 | ||||||||
\(112\) | −11.3727 | − | 4.41632i | −1.07462 | − | 0.417303i | ||||
\(113\) | − | 6.25105i | − | 0.588050i | −0.955798 | − | 0.294025i | \(-0.905005\pi\) | ||
0.955798 | − | 0.294025i | \(-0.0949948\pi\) | |||||||
\(114\) | −2.95837 | − | 3.56409i | −0.277077 | − | 0.333808i | ||||
\(115\) | −10.2091 | + | 3.74637i | −0.952005 | + | 0.349351i | ||||
\(116\) | 7.58293 | + | 11.0793i | 0.704058 | + | 1.02868i | ||||
\(117\) | −2.47057 | + | 2.47057i | −0.228405 | + | 0.228405i | ||||
\(118\) | 0.457081 | − | 4.92193i | 0.0420777 | − | 0.453100i | ||||
\(119\) | − | 11.1830i | − | 1.02514i | ||||||
\(120\) | 6.30729 | − | 0.466985i | 0.575774 | − | 0.0426297i | ||||
\(121\) | − | 4.44861i | − | 0.404419i | ||||||
\(122\) | 15.9677 | + | 1.48286i | 1.44565 | + | 0.134252i | ||||
\(123\) | 4.57798 | − | 4.57798i | 0.412782 | − | 0.412782i | ||||
\(124\) | −0.685652 | + | 3.65977i | −0.0615734 | + | 0.328657i | ||||
\(125\) | −5.51331 | + | 9.72643i | −0.493125 | + | 0.869958i | ||||
\(126\) | −3.31898 | + | 2.75492i | −0.295679 | + | 0.245428i | ||||
\(127\) | 14.1884i | 1.25902i | 0.776993 | + | 0.629509i | \(0.216744\pi\) | ||||
−0.776993 | + | 0.629509i | \(0.783256\pi\) | |||||||
\(128\) | 11.2074 | − | 1.54730i | 0.990604 | − | 0.136764i | ||||
\(129\) | −5.93095 | −0.522191 | ||||||||
\(130\) | −2.83086 | − | 10.6799i | −0.248283 | − | 0.936692i | ||||
\(131\) | −12.5522 | + | 12.5522i | −1.09669 | + | 1.09669i | −0.101896 | + | 0.994795i | \(0.532491\pi\) |
−0.994795 | + | 0.101896i | \(0.967509\pi\) | |||||||
\(132\) | 5.03160 | + | 0.942661i | 0.437944 | + | 0.0820481i | ||||
\(133\) | −7.06373 | + | 7.06373i | −0.612503 | + | 0.612503i | ||||
\(134\) | 1.59057 | − | 17.1276i | 0.137405 | − | 1.47960i | ||||
\(135\) | 0.939649 | − | 2.02905i | 0.0808721 | − | 0.174633i | ||||
\(136\) | 5.04088 | + | 9.06296i | 0.432252 | + | 0.777142i | ||||
\(137\) | 4.88336 | 0.417214 | 0.208607 | − | 0.978000i | \(-0.433107\pi\) | ||||
0.208607 | + | 0.978000i | \(0.433107\pi\) | |||||||
\(138\) | −0.635982 | + | 6.84836i | −0.0541383 | + | 0.582971i | ||||
\(139\) | 5.84556 | + | 5.84556i | 0.495814 | + | 0.495814i | 0.910132 | − | 0.414318i | \(-0.135980\pi\) |
−0.414318 | + | 0.910132i | \(0.635980\pi\) | |||||||
\(140\) | −2.26066 | − | 13.4515i | −0.191061 | − | 1.13686i | ||||
\(141\) | −5.82930 | + | 5.82930i | −0.490915 | + | 0.490915i | ||||
\(142\) | 7.22177 | − | 5.99443i | 0.606037 | − | 0.503041i | ||||
\(143\) | − | 8.94292i | − | 0.747845i | ||||||
\(144\) | 1.44796 | − | 3.72873i | 0.120664 | − | 0.310727i | ||||
\(145\) | −6.30775 | + | 13.6208i | −0.523830 | + | 1.13115i | ||||
\(146\) | 2.43914 | + | 2.93855i | 0.201865 | + | 0.243196i | ||||
\(147\) | 1.62821 | + | 1.62821i | 0.134292 | + | 0.134292i | ||||
\(148\) | 8.62802 | + | 12.6062i | 0.709219 | + | 1.03622i | ||||
\(149\) | −15.1483 | − | 15.1483i | −1.24100 | − | 1.24100i | −0.959587 | − | 0.281412i | \(-0.909197\pi\) |
−0.281412 | − | 0.959587i | \(-0.590803\pi\) | |||||||
\(150\) | 4.05549 | + | 5.79250i | 0.331129 | + | 0.472956i | ||||
\(151\) | − | 4.02031i | − | 0.327168i | −0.986529 | − | 0.163584i | \(-0.947694\pi\) | ||
0.986529 | − | 0.163584i | \(-0.0523056\pi\) | |||||||
\(152\) | 2.54054 | − | 8.90867i | 0.206065 | − | 0.722589i | ||||
\(153\) | 3.66653 | 0.296422 | ||||||||
\(154\) | 1.02089 | − | 10.9931i | 0.0822655 | − | 0.885849i | ||||
\(155\) | −3.90811 | + | 1.43413i | −0.313907 | + | 0.115192i | ||||
\(156\) | −6.86834 | − | 1.28677i | −0.549907 | − | 0.103024i | ||||
\(157\) | 9.86041 | + | 9.86041i | 0.786946 | + | 0.786946i | 0.980992 | − | 0.194046i | \(-0.0621612\pi\) |
−0.194046 | + | 0.980992i | \(0.562161\pi\) | |||||||
\(158\) | −9.90771 | − | 11.9363i | −0.788215 | − | 0.949600i | ||||
\(159\) | −14.1388 | −1.12128 | ||||||||
\(160\) | 7.89551 | + | 9.88235i | 0.624195 | + | 0.781268i | ||||
\(161\) | 14.8333 | 1.16903 | ||||||||
\(162\) | −0.903247 | − | 1.08818i | −0.0709658 | − | 0.0854958i | ||||
\(163\) | −13.1713 | − | 13.1713i | −1.03165 | − | 1.03165i | −0.999482 | − | 0.0321718i | \(-0.989758\pi\) |
−0.0321718 | − | 0.999482i | \(-0.510242\pi\) | |||||||
\(164\) | 12.7270 | + | 2.38439i | 0.993815 | + | 0.186190i | ||||
\(165\) | 1.97170 | + | 5.37302i | 0.153497 | + | 0.418289i | ||||
\(166\) | −0.676291 | + | 7.28242i | −0.0524904 | + | 0.565226i | ||||
\(167\) | 0.0610761 | 0.00472621 | 0.00236311 | − | 0.999997i | \(-0.499248\pi\) | ||||
0.00236311 | + | 0.999997i | \(0.499248\pi\) | |||||||
\(168\) | −8.29602 | − | 2.36583i | −0.640052 | − | 0.182527i | ||||
\(169\) | − | 0.792537i | − | 0.0609644i | ||||||
\(170\) | −5.82433 | + | 10.0256i | −0.446705 | + | 0.768925i | ||||
\(171\) | −2.31596 | − | 2.31596i | −0.177106 | − | 0.177106i | ||||
\(172\) | −6.69966 | − | 9.78874i | −0.510845 | − | 0.746384i | ||||
\(173\) | 8.01622 | + | 8.01622i | 0.609462 | + | 0.609462i | 0.942805 | − | 0.333343i | \(-0.108177\pi\) |
−0.333343 | + | 0.942805i | \(0.608177\pi\) | |||||||
\(174\) | 6.06339 | + | 7.30485i | 0.459664 | + | 0.553779i | ||||
\(175\) | 11.6303 | − | 9.86413i | 0.879171 | − | 0.745658i | ||||
\(176\) | 4.12793 | + | 9.36923i | 0.311154 | + | 0.706232i | ||||
\(177\) | − | 3.49531i | − | 0.262723i | ||||||
\(178\) | −14.3128 | + | 11.8804i | −1.07279 | + | 0.890472i | ||||
\(179\) | 11.8352 | − | 11.8352i | 0.884607 | − | 0.884607i | −0.109392 | − | 0.993999i | \(-0.534890\pi\) |
0.993999 | + | 0.109392i | \(0.0348903\pi\) | |||||||
\(180\) | 4.41029 | − | 0.741196i | 0.328723 | − | 0.0552455i | ||||
\(181\) | 3.63391 | + | 3.63391i | 0.270106 | + | 0.270106i | 0.829143 | − | 0.559037i | \(-0.188829\pi\) |
−0.559037 | + | 0.829143i | \(0.688829\pi\) | |||||||
\(182\) | −1.39355 | + | 15.0060i | −0.103297 | + | 1.11232i | ||||
\(183\) | 11.3395 | 0.838239 | ||||||||
\(184\) | −12.0213 | + | 6.68632i | −0.886221 | + | 0.492922i | ||||
\(185\) | −7.17709 | + | 15.4980i | −0.527670 | + | 1.13944i | ||||
\(186\) | −0.243458 | + | 2.62159i | −0.0178512 | + | 0.192225i | ||||
\(187\) | −6.63602 | + | 6.63602i | −0.485274 | + | 0.485274i | ||||
\(188\) | −16.2058 | − | 3.03612i | −1.18193 | − | 0.221432i | ||||
\(189\) | −2.15669 | + | 2.15669i | −0.156876 | + | 0.156876i | ||||
\(190\) | 10.0116 | − | 2.65370i | 0.726315 | − | 0.192520i | ||||
\(191\) | 19.0823 | 1.38074 | 0.690372 | − | 0.723455i | \(-0.257447\pi\) | ||||
0.690372 | + | 0.723455i | \(0.257447\pi\) | |||||||
\(192\) | 7.78971 | − | 1.82222i | 0.562174 | − | 0.131507i | ||||
\(193\) | − | 2.99015i | − | 0.215236i | −0.994192 | − | 0.107618i | \(-0.965678\pi\) | ||
0.994192 | − | 0.107618i | \(-0.0343223\pi\) | |||||||
\(194\) | 13.5949 | − | 11.2845i | 0.976058 | − | 0.810177i | ||||
\(195\) | −2.69145 | − | 7.33440i | −0.192739 | − | 0.525227i | ||||
\(196\) | −0.848033 | + | 4.52651i | −0.0605738 | + | 0.323322i | ||||
\(197\) | 1.37271 | − | 1.37271i | 0.0978016 | − | 0.0978016i | −0.656513 | − | 0.754315i | \(-0.727969\pi\) |
0.754315 | + | 0.656513i | \(0.227969\pi\) | |||||||
\(198\) | 3.60427 | + | 0.334715i | 0.256144 | + | 0.0237872i | ||||
\(199\) | 15.7129i | 1.11386i | 0.830560 | + | 0.556930i | \(0.188021\pi\) | ||||
−0.830560 | + | 0.556930i | \(0.811979\pi\) | |||||||
\(200\) | −4.97911 | + | 13.2366i | −0.352076 | + | 0.935971i | ||||
\(201\) | − | 12.1631i | − | 0.857922i | ||||||
\(202\) | −0.105325 | + | 1.13416i | −0.00741063 | + | 0.0797989i | ||||
\(203\) | 14.4776 | − | 14.4776i | 1.01613 | − | 1.01613i | ||||
\(204\) | 4.14175 | + | 6.05142i | 0.289981 | + | 0.423684i | ||||
\(205\) | 4.98727 | + | 13.5907i | 0.348326 | + | 0.949213i | ||||
\(206\) | −11.0250 | − | 13.2823i | −0.768149 | − | 0.925425i | ||||
\(207\) | 4.86336i | 0.338027i | ||||||||
\(208\) | −5.63479 | − | 12.7894i | −0.390703 | − | 0.886785i | ||||
\(209\) | 8.38326 | 0.579882 | ||||||||
\(210\) | −2.47121 | − | 9.32306i | −0.170529 | − | 0.643352i | ||||
\(211\) | 16.8391 | − | 16.8391i | 1.15925 | − | 1.15925i | 0.174614 | − | 0.984637i | \(-0.444132\pi\) |
0.984637 | − | 0.174614i | \(-0.0558679\pi\) | |||||||
\(212\) | −15.9713 | − | 23.3353i | −1.09691 | − | 1.60267i | ||||
\(213\) | 4.69274 | − | 4.69274i | 0.321541 | − | 0.321541i | ||||
\(214\) | −15.9225 | − | 1.47866i | −1.08844 | − | 0.101079i | ||||
\(215\) | 5.57302 | − | 12.0342i | 0.380077 | − | 0.820727i | ||||
\(216\) | 0.775675 | − | 2.71999i | 0.0527780 | − | 0.185072i | ||||
\(217\) | 5.67830 | 0.385468 | ||||||||
\(218\) | −14.0896 | − | 1.30845i | −0.954267 | − | 0.0886192i | ||||
\(219\) | 1.90948 | + | 1.90948i | 0.129031 | + | 0.129031i | ||||
\(220\) | −6.64065 | + | 9.32361i | −0.447712 | + | 0.628598i | ||||
\(221\) | 9.05844 | − | 9.05844i | 0.609336 | − | 0.609336i | ||||
\(222\) | 6.89905 | + | 8.31160i | 0.463034 | + | 0.557838i | ||||
\(223\) | − | 10.6893i | − | 0.715809i | −0.933758 | − | 0.357905i | \(-0.883491\pi\) | ||
0.933758 | − | 0.357905i | \(-0.116509\pi\) | |||||||
\(224\) | −5.46659 | − | 16.3646i | −0.365252 | − | 1.09341i | ||||
\(225\) | 3.23412 | + | 3.81320i | 0.215608 | + | 0.254213i | ||||
\(226\) | 6.80230 | − | 5.64625i | 0.452482 | − | 0.375583i | ||||
\(227\) | 15.0722 | + | 15.0722i | 1.00037 | + | 1.00037i | 1.00000 | 0.000374434i | \(0.000119186\pi\) | |
0.000374434 | 1.00000i | \(0.499881\pi\) | ||||||||
\(228\) | 1.20624 | − | 6.43851i | 0.0798854 | − | 0.426401i | ||||
\(229\) | −3.23629 | − | 3.23629i | −0.213860 | − | 0.213860i | 0.592045 | − | 0.805905i | \(-0.298321\pi\) |
−0.805905 | + | 0.592045i | \(0.798321\pi\) | |||||||
\(230\) | −13.2981 | − | 7.72550i | −0.876850 | − | 0.509404i | ||||
\(231\) | − | 7.80674i | − | 0.513646i | ||||||
\(232\) | −5.20701 | + | 18.2589i | −0.341857 | + | 1.19876i | ||||
\(233\) | 4.75428 | 0.311463 | 0.155732 | − | 0.987799i | \(-0.450227\pi\) | ||||
0.155732 | + | 0.987799i | \(0.450227\pi\) | |||||||
\(234\) | −4.91998 | − | 0.456900i | −0.321629 | − | 0.0298685i | ||||
\(235\) | −6.35046 | − | 17.3054i | −0.414258 | − | 1.12888i | ||||
\(236\) | 5.76882 | − | 3.94833i | 0.375518 | − | 0.257015i | ||||
\(237\) | −7.75625 | − | 7.75625i | −0.503823 | − | 0.503823i | ||||
\(238\) | 12.1692 | − | 10.1010i | 0.788810 | − | 0.654752i | ||||
\(239\) | 11.9224 | 0.771196 | 0.385598 | − | 0.922667i | \(-0.373995\pi\) | ||||
0.385598 | + | 0.922667i | \(0.373995\pi\) | |||||||
\(240\) | 6.20521 | + | 6.44169i | 0.400545 | + | 0.415809i | ||||
\(241\) | −28.2991 | −1.82291 | −0.911453 | − | 0.411403i | \(-0.865039\pi\) | ||||
−0.911453 | + | 0.411403i | \(0.865039\pi\) | |||||||
\(242\) | 4.84090 | − | 4.01819i | 0.311185 | − | 0.258299i | ||||
\(243\) | −0.707107 | − | 0.707107i | −0.0453609 | − | 0.0453609i | ||||
\(244\) | 12.8092 | + | 18.7152i | 0.820024 | + | 1.19812i | ||||
\(245\) | −4.83366 | + | 1.77377i | −0.308811 | + | 0.113322i | ||||
\(246\) | 9.11673 | + | 0.846636i | 0.581261 | + | 0.0539796i | ||||
\(247\) | −11.4435 | −0.728133 | ||||||||
\(248\) | −4.60182 | + | 2.55956i | −0.292216 | + | 0.162533i | ||||
\(249\) | 5.17161i | 0.327737i | ||||||||
\(250\) | −15.5640 | + | 2.78588i | −0.984355 | + | 0.176195i | ||||
\(251\) | −4.39215 | − | 4.39215i | −0.277230 | − | 0.277230i | 0.554772 | − | 0.832002i | \(-0.312805\pi\) |
−0.832002 | + | 0.554772i | \(0.812805\pi\) | |||||||
\(252\) | −5.99573 | − | 1.12329i | −0.377695 | − | 0.0707605i | ||||
\(253\) | −8.80214 | − | 8.80214i | −0.553386 | − | 0.553386i | ||||
\(254\) | −15.4396 | + | 12.8156i | −0.968767 | + | 0.804125i | ||||
\(255\) | −3.44526 | + | 7.43959i | −0.215750 | + | 0.465885i | ||||
\(256\) | 11.8068 | + | 10.7981i | 0.737925 | + | 0.674882i | ||||
\(257\) | − | 2.53050i | − | 0.157849i | −0.996881 | − | 0.0789243i | \(-0.974851\pi\) | ||
0.996881 | − | 0.0789243i | \(-0.0251485\pi\) | |||||||
\(258\) | −5.35712 | − | 6.45397i | −0.333520 | − | 0.401807i | ||||
\(259\) | 16.4729 | − | 16.4729i | 1.02358 | − | 1.02358i | ||||
\(260\) | 9.06476 | − | 12.7271i | 0.562172 | − | 0.789302i | ||||
\(261\) | 4.74672 | + | 4.74672i | 0.293815 | + | 0.293815i | ||||
\(262\) | −24.9969 | − | 2.32136i | −1.54431 | − | 0.143414i | ||||
\(263\) | −0.540983 | −0.0333584 | −0.0166792 | − | 0.999861i | \(-0.505309\pi\) | ||||
−0.0166792 | + | 0.999861i | \(0.505309\pi\) | |||||||
\(264\) | 3.51899 | + | 6.32676i | 0.216579 | + | 0.389385i | ||||
\(265\) | 13.2855 | − | 28.6883i | 0.816120 | − | 1.76231i | ||||
\(266\) | −14.0669 | − | 1.30634i | −0.862499 | − | 0.0800970i | ||||
\(267\) | −9.30055 | + | 9.30055i | −0.569184 | + | 0.569184i | ||||
\(268\) | 20.0747 | − | 13.7396i | 1.22625 | − | 0.839280i | ||||
\(269\) | −3.00188 | + | 3.00188i | −0.183028 | + | 0.183028i | −0.792674 | − | 0.609646i | \(-0.791312\pi\) |
0.609646 | + | 0.792674i | \(0.291312\pi\) | |||||||
\(270\) | 3.05672 | − | 0.810226i | 0.186026 | − | 0.0493088i | ||||
\(271\) | −8.44312 | −0.512883 | −0.256442 | − | 0.966560i | \(-0.582550\pi\) | ||||
−0.256442 | + | 0.966560i | \(0.582550\pi\) | |||||||
\(272\) | −5.30900 | + | 13.6715i | −0.321906 | + | 0.828956i | ||||
\(273\) | 10.6565i | 0.644962i | ||||||||
\(274\) | 4.41089 | + | 5.31400i | 0.266471 | + | 0.321030i | ||||
\(275\) | −12.7549 | − | 1.04807i | −0.769147 | − | 0.0632011i | ||||
\(276\) | −8.02673 | + | 5.49370i | −0.483152 | + | 0.330682i | ||||
\(277\) | 12.2494 | − | 12.2494i | 0.735992 | − | 0.735992i | −0.235807 | − | 0.971800i | \(-0.575773\pi\) |
0.971800 | + | 0.235807i | \(0.0757735\pi\) | |||||||
\(278\) | −1.08106 | + | 11.6410i | −0.0648376 | + | 0.698182i | ||||
\(279\) | 1.86172i | 0.111458i | ||||||||
\(280\) | 12.5957 | − | 14.6100i | 0.752739 | − | 0.873116i | ||||
\(281\) | 16.6912i | 0.995715i | 0.867259 | + | 0.497857i | \(0.165880\pi\) | ||||
−0.867259 | + | 0.497857i | \(0.834120\pi\) | |||||||
\(282\) | −11.6086 | − | 1.07805i | −0.691285 | − | 0.0641970i | ||||
\(283\) | 1.25800 | − | 1.25800i | 0.0747802 | − | 0.0747802i | −0.668727 | − | 0.743508i | \(-0.733161\pi\) |
0.743508 | + | 0.668727i | \(0.233161\pi\) | |||||||
\(284\) | 13.0461 | + | 2.44416i | 0.774143 | + | 0.145034i | ||||
\(285\) | 6.87540 | − | 2.52302i | 0.407264 | − | 0.149451i | ||||
\(286\) | 9.73155 | − | 8.07767i | 0.575438 | − | 0.477643i | ||||
\(287\) | − | 19.7466i | − | 1.16560i | ||||||
\(288\) | 5.36541 | − | 1.79231i | 0.316160 | − | 0.105613i | ||||
\(289\) | 3.55654 | 0.209208 | ||||||||
\(290\) | −20.5194 | + | 5.43895i | −1.20494 | + | 0.319386i | ||||
\(291\) | 8.83403 | − | 8.83403i | 0.517860 | − | 0.517860i | ||||
\(292\) | −0.994532 | + | 5.30847i | −0.0582006 | + | 0.310655i | ||||
\(293\) | 12.4197 | − | 12.4197i | 0.725564 | − | 0.725564i | −0.244169 | − | 0.969733i | \(-0.578515\pi\) |
0.969733 | + | 0.244169i | \(0.0785151\pi\) | |||||||
\(294\) | −0.301115 | + | 3.24246i | −0.0175614 | + | 0.189104i | ||||
\(295\) | 7.09216 | + | 3.28436i | 0.412922 | + | 0.191223i | ||||
\(296\) | −5.92464 | + | 20.7754i | −0.344363 | + | 1.20755i | ||||
\(297\) | 2.55957 | 0.148521 | ||||||||
\(298\) | 2.80148 | − | 30.1669i | 0.162285 | − | 1.74752i | ||||
\(299\) | 12.0153 | + | 12.0153i | 0.694862 | + | 0.694862i | ||||
\(300\) | −2.64020 | + | 9.64517i | −0.152432 | + | 0.556864i | ||||
\(301\) | −12.7912 | + | 12.7912i | −0.737275 | + | 0.737275i | ||||
\(302\) | 4.37484 | − | 3.63134i | 0.251744 | − | 0.208960i | ||||
\(303\) | 0.805420i | 0.0462702i | ||||||||
\(304\) | 11.9890 | − | 5.28216i | 0.687617 | − | 0.302953i | ||||
\(305\) | −10.6551 | + | 23.0084i | −0.610111 | + | 1.31746i | ||||
\(306\) | 3.31179 | + | 3.98986i | 0.189322 | + | 0.228085i | ||||
\(307\) | 21.6994 | + | 21.6994i | 1.23845 | + | 1.23845i | 0.960634 | + | 0.277816i | \(0.0896107\pi\) |
0.277816 | + | 0.960634i | \(0.410389\pi\) | |||||||
\(308\) | 12.8846 | − | 8.81857i | 0.734170 | − | 0.502485i | ||||
\(309\) | −8.63093 | − | 8.63093i | −0.490996 | − | 0.490996i | ||||
\(310\) | −5.09059 | − | 2.95737i | −0.289126 | − | 0.167967i | ||||
\(311\) | 13.6575i | 0.774447i | 0.921986 | + | 0.387224i | \(0.126566\pi\) | ||||
−0.921986 | + | 0.387224i | \(0.873434\pi\) | |||||||
\(312\) | −4.80356 | − | 8.63629i | −0.271948 | − | 0.488934i | ||||
\(313\) | −13.7537 | −0.777403 | −0.388701 | − | 0.921364i | \(-0.627076\pi\) | ||||
−0.388701 | + | 0.921364i | \(0.627076\pi\) | |||||||
\(314\) | −1.82355 | + | 19.6363i | −0.102909 | + | 1.10814i | ||||
\(315\) | −2.34951 | − | 6.40257i | −0.132380 | − | 0.360744i | ||||
\(316\) | 4.03976 | − | 21.5628i | 0.227254 | − | 1.21300i | ||||
\(317\) | −16.5311 | − | 16.5311i | −0.928477 | − | 0.928477i | 0.0691306 | − | 0.997608i | \(-0.477977\pi\) |
−0.997608 | + | 0.0691306i | \(0.977977\pi\) | |||||||
\(318\) | −12.7708 | − | 15.3856i | −0.716151 | − | 0.862780i | ||||
\(319\) | −17.1821 | −0.962012 | ||||||||
\(320\) | −3.62222 | + | 17.5180i | −0.202488 | + | 0.979285i | ||||
\(321\) | −11.3073 | −0.631115 | ||||||||
\(322\) | 13.3982 | + | 16.1414i | 0.746651 | + | 0.899526i | ||||
\(323\) | 8.49155 | + | 8.49155i | 0.472482 | + | 0.472482i | ||||
\(324\) | 0.368289 | − | 1.96580i | 0.0204605 | − | 0.109211i | ||||
\(325\) | 17.4109 | + | 1.43066i | 0.965784 | + | 0.0793588i | ||||
\(326\) | 2.43585 | − | 26.2297i | 0.134909 | − | 1.45273i | ||||
\(327\) | −10.0057 | −0.553317 | ||||||||
\(328\) | 8.90102 | + | 16.0031i | 0.491476 | + | 0.883621i | ||||
\(329\) | 25.1440i | 1.38623i | ||||||||
\(330\) | −4.06590 | + | 6.99874i | −0.223821 | + | 0.385268i | ||||
\(331\) | −8.05179 | − | 8.05179i | −0.442566 | − | 0.442566i | 0.450307 | − | 0.892874i | \(-0.351314\pi\) |
−0.892874 | + | 0.450307i | \(0.851314\pi\) | |||||||
\(332\) | −8.53547 | + | 5.84190i | −0.468445 | + | 0.320616i | ||||
\(333\) | 5.40092 | + | 5.40092i | 0.295968 | + | 0.295968i | ||||
\(334\) | 0.0551668 | + | 0.0664621i | 0.00301859 | + | 0.00363664i | ||||
\(335\) | 24.6797 | + | 11.4291i | 1.34839 | + | 0.624438i | ||||
\(336\) | −4.91890 | − | 11.1645i | −0.268348 | − | 0.609074i | ||||
\(337\) | 4.77730i | 0.260236i | 0.991499 | + | 0.130118i | \(0.0415356\pi\) | ||||
−0.991499 | + | 0.130118i | \(0.958464\pi\) | |||||||
\(338\) | 0.862426 | − | 0.715857i | 0.0469098 | − | 0.0389375i | ||||
\(339\) | 4.42016 | − | 4.42016i | 0.240070 | − | 0.240070i | ||||
\(340\) | −16.1705 | + | 2.71762i | −0.876966 | + | 0.147384i | ||||
\(341\) | −3.36951 | − | 3.36951i | −0.182469 | − | 0.182469i | ||||
\(342\) | 0.428306 | − | 4.61208i | 0.0231601 | − | 0.249393i | ||||
\(343\) | −14.3271 | −0.773589 | ||||||||
\(344\) | 4.60049 | − | 16.1321i | 0.248042 | − | 0.869785i | ||||
\(345\) | −9.86802 | − | 4.56985i | −0.531276 | − | 0.246033i | ||||
\(346\) | −1.48249 | + | 15.9638i | −0.0796994 | + | 0.858217i | ||||
\(347\) | −3.32673 | + | 3.32673i | −0.178588 | + | 0.178588i | −0.790740 | − | 0.612152i | \(-0.790304\pi\) |
0.612152 | + | 0.790740i | \(0.290304\pi\) | |||||||
\(348\) | −2.47228 | + | 13.1962i | −0.132528 | + | 0.707389i | ||||
\(349\) | 21.8586 | − | 21.8586i | 1.17007 | − | 1.17007i | 0.187872 | − | 0.982194i | \(-0.439841\pi\) |
0.982194 | − | 0.187872i | \(-0.0601590\pi\) | |||||||
\(350\) | 21.2391 | + | 3.74620i | 1.13528 | + | 0.200243i | ||||
\(351\) | −3.49392 | −0.186492 | ||||||||
\(352\) | −6.46691 | + | 12.9547i | −0.344687 | + | 0.690487i | ||||
\(353\) | 5.19436i | 0.276468i | 0.990400 | + | 0.138234i | \(0.0441426\pi\) | ||||
−0.990400 | + | 0.138234i | \(0.955857\pi\) | |||||||
\(354\) | 3.80354 | − | 3.15713i | 0.202156 | − | 0.167799i | ||||
\(355\) | 5.11229 | + | 13.9313i | 0.271332 | + | 0.739399i | ||||
\(356\) | −25.8561 | − | 4.84409i | −1.37037 | − | 0.256736i | ||||
\(357\) | 7.90758 | − | 7.90758i | 0.418513 | − | 0.418513i | ||||
\(358\) | 23.5691 | + | 2.18877i | 1.24566 | + | 0.115680i | ||||
\(359\) | 21.0115i | 1.10894i | 0.832203 | + | 0.554472i | \(0.187080\pi\) | ||||
−0.832203 | + | 0.554472i | \(0.812920\pi\) | |||||||
\(360\) | 4.79014 | + | 4.12972i | 0.252462 | + | 0.217655i | ||||
\(361\) | 8.27265i | 0.435403i | ||||||||
\(362\) | −0.672044 | + | 7.23668i | −0.0353218 | + | 0.380352i | ||||
\(363\) | 3.14564 | − | 3.14564i | 0.165103 | − | 0.165103i | ||||
\(364\) | −17.5880 | + | 12.0377i | −0.921864 | + | 0.630948i | ||||
\(365\) | −5.66868 | + | 2.08020i | −0.296712 | + | 0.108882i | ||||
\(366\) | 10.2424 | + | 12.3394i | 0.535376 | + | 0.644993i | ||||
\(367\) | 24.5855i | 1.28335i | 0.766976 | + | 0.641676i | \(0.221760\pi\) | ||||
−0.766976 | + | 0.641676i | \(0.778240\pi\) | |||||||
\(368\) | −18.1341 | − | 7.04196i | −0.945307 | − | 0.367088i | ||||
\(369\) | 6.47424 | 0.337035 | ||||||||
\(370\) | −23.3474 | + | 6.18854i | −1.21377 | + | 0.321727i | ||||
\(371\) | −30.4929 | + | 30.4929i | −1.58311 | + | 1.58311i | ||||
\(372\) | −3.07268 | + | 2.10302i | −0.159311 | + | 0.109037i | ||||
\(373\) | −1.00389 | + | 1.00389i | −0.0519795 | + | 0.0519795i | −0.732619 | − | 0.680639i | \(-0.761702\pi\) |
0.680639 | + | 0.732619i | \(0.261702\pi\) | |||||||
\(374\) | −13.2152 | − | 1.22724i | −0.683340 | − | 0.0634592i | ||||
\(375\) | −10.7761 | + | 2.97913i | −0.556477 | + | 0.153842i | ||||
\(376\) | −11.3340 | − | 20.3772i | −0.584505 | − | 1.05088i | ||||
\(377\) | 23.4542 | 1.20796 | ||||||||
\(378\) | −4.29490 | − | 0.398851i | −0.220906 | − | 0.0205147i | ||||
\(379\) | −4.93721 | − | 4.93721i | −0.253607 | − | 0.253607i | 0.568841 | − | 0.822448i | \(-0.307392\pi\) |
−0.822448 | + | 0.568841i | \(0.807392\pi\) | |||||||
\(380\) | 11.9306 | + | 8.49747i | 0.612029 | + | 0.435911i | ||||
\(381\) | −10.0327 | + | 10.0327i | −0.513992 | + | 0.513992i | ||||
\(382\) | 17.2360 | + | 20.7650i | 0.881870 | + | 1.06243i | ||||
\(383\) | − | 4.25312i | − | 0.217324i | −0.994079 | − | 0.108662i | \(-0.965343\pi\) | ||
0.994079 | − | 0.108662i | \(-0.0346566\pi\) | |||||||
\(384\) | 9.01894 | + | 6.83072i | 0.460246 | + | 0.348579i | ||||
\(385\) | 15.8403 | + | 7.33560i | 0.807296 | + | 0.373857i | ||||
\(386\) | 3.25383 | − | 2.70085i | 0.165616 | − | 0.137469i | ||||
\(387\) | −4.19382 | − | 4.19382i | −0.213184 | − | 0.213184i | ||||
\(388\) | 24.5591 | + | 4.60111i | 1.24680 | + | 0.233586i | ||||
\(389\) | −15.1555 | − | 15.1555i | −0.768414 | − | 0.768414i | 0.209413 | − | 0.977827i | \(-0.432845\pi\) |
−0.977827 | + | 0.209413i | \(0.932845\pi\) | |||||||
\(390\) | 5.55013 | − | 9.55357i | 0.281042 | − | 0.483764i | ||||
\(391\) | − | 17.8317i | − | 0.901786i | ||||||
\(392\) | −5.69166 | + | 3.16574i | −0.287472 | + | 0.159894i | ||||
\(393\) | −17.7515 | −0.895445 | ||||||||
\(394\) | 2.73366 | + | 0.253865i | 0.137720 | + | 0.0127895i | ||||
\(395\) | 23.0260 | − | 8.44969i | 1.15856 | − | 0.425150i | ||||
\(396\) | 2.89131 | + | 4.22444i | 0.145294 | + | 0.212286i | ||||
\(397\) | 2.06126 | + | 2.06126i | 0.103451 | + | 0.103451i | 0.756938 | − | 0.653487i | \(-0.226694\pi\) |
−0.653487 | + | 0.756938i | \(0.726694\pi\) | |||||||
\(398\) | −17.0985 | + | 14.1927i | −0.857073 | + | 0.711413i | ||||
\(399\) | −9.98962 | −0.500107 | ||||||||
\(400\) | −18.9013 | + | 6.53777i | −0.945063 | + | 0.326889i | ||||
\(401\) | 10.1012 | 0.504431 | 0.252215 | − | 0.967671i | \(-0.418841\pi\) | ||||
0.252215 | + | 0.967671i | \(0.418841\pi\) | |||||||
\(402\) | 13.2357 | − | 10.9863i | 0.660139 | − | 0.547948i | ||||
\(403\) | 4.59952 | + | 4.59952i | 0.229119 | + | 0.229119i | ||||
\(404\) | −1.32930 | + | 0.909811i | −0.0661354 | + | 0.0452648i | ||||
\(405\) | 2.09919 | − | 0.770325i | 0.104310 | − | 0.0382778i | ||||
\(406\) | 28.8312 | + | 2.67744i | 1.43087 | + | 0.132879i | ||||
\(407\) | −19.5501 | −0.969063 | ||||||||
\(408\) | −2.84404 | + | 9.97292i | −0.140801 | + | 0.493733i | ||||
\(409\) | 15.5464i | 0.768720i | 0.923183 | + | 0.384360i | \(0.125578\pi\) | ||||
−0.923183 | + | 0.384360i | \(0.874422\pi\) | |||||||
\(410\) | −10.2844 | + | 17.7028i | −0.507910 | + | 0.874278i | ||||
\(411\) | 3.45306 | + | 3.45306i | 0.170327 | + | 0.170327i | ||||
\(412\) | 4.49532 | − | 23.9945i | 0.221469 | − | 1.18212i | ||||
\(413\) | −7.53829 | − | 7.53829i | −0.370935 | − | 0.370935i | ||||
\(414\) | −5.29223 | + | 4.39282i | −0.260099 | + | 0.215895i | ||||
\(415\) | −10.4935 | − | 4.85950i | −0.515104 | − | 0.238543i | ||||
\(416\) | 8.82760 | − | 17.6837i | 0.432809 | − | 0.867013i | ||||
\(417\) | 8.26686i | 0.404830i | ||||||||
\(418\) | 7.57216 | + | 9.12253i | 0.370366 | + | 0.446198i | ||||
\(419\) | 0.811206 | − | 0.811206i | 0.0396300 | − | 0.0396300i | −0.687014 | − | 0.726644i | \(-0.741079\pi\) |
0.726644 | + | 0.687014i | \(0.241079\pi\) | |||||||
\(420\) | 7.91310 | − | 11.1102i | 0.386120 | − | 0.542120i | ||||
\(421\) | 6.67755 | + | 6.67755i | 0.325444 | + | 0.325444i | 0.850851 | − | 0.525407i | \(-0.176087\pi\) |
−0.525407 | + | 0.850851i | \(0.676087\pi\) | |||||||
\(422\) | 33.5339 | + | 3.11417i | 1.63241 | + | 0.151595i | ||||
\(423\) | −8.24387 | −0.400831 | ||||||||
\(424\) | 10.9671 | − | 38.4572i | 0.532609 | − | 1.86765i | ||||
\(425\) | −11.8580 | − | 13.9812i | −0.575197 | − | 0.678189i | ||||
\(426\) | 9.34526 | + | 0.867859i | 0.452779 | + | 0.0420479i | ||||
\(427\) | 24.4558 | − | 24.4558i | 1.18350 | − | 1.18350i | ||||
\(428\) | −12.7729 | − | 18.6622i | −0.617401 | − | 0.902072i | ||||
\(429\) | 6.32360 | − | 6.32360i | 0.305306 | − | 0.305306i | ||||
\(430\) | 18.1293 | − | 4.80541i | 0.874271 | − | 0.231738i | ||||
\(431\) | −20.8900 | −1.00623 | −0.503117 | − | 0.864218i | \(-0.667814\pi\) | ||||
−0.503117 | + | 0.864218i | \(0.667814\pi\) | |||||||
\(432\) | 3.66047 | − | 1.61274i | 0.176115 | − | 0.0775932i | ||||
\(433\) | 21.0344i | 1.01085i | 0.862870 | + | 0.505426i | \(0.168664\pi\) | ||||
−0.862870 | + | 0.505426i | \(0.831336\pi\) | |||||||
\(434\) | 5.12891 | + | 6.17903i | 0.246195 | + | 0.296603i | ||||
\(435\) | −14.0916 | + | 5.17110i | −0.675641 | + | 0.247935i | ||||
\(436\) | −11.3025 | − | 16.5139i | −0.541294 | − | 0.790873i | ||||
\(437\) | −11.2633 | + | 11.2633i | −0.538799 | + | 0.538799i | ||||
\(438\) | −0.353133 | + | 3.80260i | −0.0168734 | + | 0.181695i | ||||
\(439\) | 27.5268i | 1.31378i | 0.753986 | + | 0.656891i | \(0.228129\pi\) | ||||
−0.753986 | + | 0.656891i | \(0.771871\pi\) | |||||||
\(440\) | −16.1439 | + | 1.19528i | −0.769633 | + | 0.0569827i | ||||
\(441\) | 2.30263i | 0.109649i | ||||||||
\(442\) | 18.0393 | + | 1.67524i | 0.858040 | + | 0.0796829i | ||||
\(443\) | −15.3577 | + | 15.3577i | −0.729667 | + | 0.729667i | −0.970553 | − | 0.240886i | \(-0.922562\pi\) |
0.240886 | + | 0.970553i | \(0.422562\pi\) | |||||||
\(444\) | −2.81301 | + | 15.0149i | −0.133499 | + | 0.712574i | ||||
\(445\) | −10.1321 | − | 27.6106i | −0.480306 | − | 1.30887i | ||||
\(446\) | 11.6319 | − | 9.65509i | 0.550788 | − | 0.457182i | ||||
\(447\) | − | 21.4230i | − | 1.01327i | ||||||
\(448\) | 12.8700 | − | 20.7299i | 0.608052 | − | 0.979398i | ||||
\(449\) | 34.2343 | 1.61562 | 0.807808 | − | 0.589445i | \(-0.200654\pi\) | ||||
0.807808 | + | 0.589445i | \(0.200654\pi\) | |||||||
\(450\) | −1.22825 | + | 6.96358i | −0.0579004 | + | 0.328266i | ||||
\(451\) | −11.7177 | + | 11.7177i | −0.551763 | + | 0.551763i | ||||
\(452\) | 12.2883 | + | 2.30219i | 0.577993 | + | 0.108286i | ||||
\(453\) | 2.84279 | − | 2.84279i | 0.133566 | − | 0.133566i | ||||
\(454\) | −2.78740 | + | 30.0152i | −0.130819 | + | 1.40868i | ||||
\(455\) | −21.6227 | − | 10.0134i | −1.01369 | − | 0.469435i | ||||
\(456\) | 8.09582 | − | 4.50295i | 0.379121 | − | 0.210870i | ||||
\(457\) | −37.3287 | −1.74616 | −0.873081 | − | 0.487575i | \(-0.837881\pi\) | ||||
−0.873081 | + | 0.487575i | \(0.837881\pi\) | |||||||
\(458\) | 0.598509 | − | 6.44485i | 0.0279665 | − | 0.301148i | ||||
\(459\) | 2.59263 | + | 2.59263i | 0.121014 | + | 0.121014i | ||||
\(460\) | −3.60470 | − | 21.4488i | −0.168070 | − | 1.00006i | ||||
\(461\) | 4.31480 | − | 4.31480i | 0.200960 | − | 0.200960i | −0.599451 | − | 0.800411i | \(-0.704614\pi\) |
0.800411 | + | 0.599451i | \(0.204614\pi\) | |||||||
\(462\) | 8.49517 | − | 7.05142i | 0.395231 | − | 0.328062i | ||||
\(463\) | − | 12.6151i | − | 0.586272i | −0.956071 | − | 0.293136i | \(-0.905301\pi\) | ||
0.956071 | − | 0.293136i | \(-0.0946988\pi\) | |||||||
\(464\) | −24.5723 | + | 10.8262i | −1.14074 | + | 0.502591i | ||||
\(465\) | −3.77754 | − | 1.74937i | −0.175179 | − | 0.0811250i | ||||
\(466\) | 4.29429 | + | 5.17353i | 0.198929 | + | 0.239659i | ||||
\(467\) | −3.20222 | − | 3.20222i | −0.148181 | − | 0.148181i | 0.629124 | − | 0.777305i | \(-0.283414\pi\) |
−0.777305 | + | 0.629124i | \(0.783414\pi\) | |||||||
\(468\) | −3.94676 | − | 5.76653i | −0.182439 | − | 0.266558i | ||||
\(469\) | −26.2321 | − | 26.2321i | −1.21129 | − | 1.21129i | ||||
\(470\) | 13.0955 | − | 22.5416i | 0.604049 | − | 1.03977i | ||||
\(471\) | 13.9447i | 0.642539i | ||||||||
\(472\) | 9.50719 | + | 2.71122i | 0.437604 | + | 0.124794i | ||||
\(473\) | 15.1807 | 0.698009 | ||||||||
\(474\) | 1.43442 | − | 15.4460i | 0.0658849 | − | 0.709460i | ||||
\(475\) | −1.34113 | + | 16.3213i | −0.0615352 | + | 0.748873i | ||||
\(476\) | 21.9835 | + | 4.11857i | 1.00761 | + | 0.188775i | ||||
\(477\) | −9.99761 | − | 9.99761i | −0.457759 | − | 0.457759i | ||||
\(478\) | 10.7689 | + | 12.9738i | 0.492557 | + | 0.593406i | ||||
\(479\) | −9.07562 | −0.414676 | −0.207338 | − | 0.978269i | \(-0.566480\pi\) | ||||
−0.207338 | + | 0.978269i | \(0.566480\pi\) | |||||||
\(480\) | −1.40491 | + | 12.5708i | −0.0641249 | + | 0.573778i | ||||
\(481\) | 26.6867 | 1.21681 | ||||||||
\(482\) | −25.5611 | − | 30.7947i | −1.16428 | − | 1.40266i | ||||
\(483\) | 10.4888 | + | 10.4888i | 0.477255 | + | 0.477255i | ||||
\(484\) | 8.74506 | + | 1.63837i | 0.397503 | + | 0.0744714i | ||||
\(485\) | 9.62383 | + | 26.2256i | 0.436996 | + | 1.19084i | ||||
\(486\) | 0.130770 | − | 1.40815i | 0.00593185 | − | 0.0638752i | ||||
\(487\) | −1.02703 | −0.0465390 | −0.0232695 | − | 0.999729i | \(-0.507408\pi\) | ||||
−0.0232695 | + | 0.999729i | \(0.507408\pi\) | |||||||
\(488\) | −8.79575 | + | 30.8432i | −0.398165 | + | 1.39621i | ||||
\(489\) | − | 18.6270i | − | 0.842342i | ||||||
\(490\) | −6.29618 | − | 3.65775i | −0.284433 | − | 0.165241i | ||||
\(491\) | −20.0654 | − | 20.0654i | −0.905539 | − | 0.905539i | 0.0903689 | − | 0.995908i | \(-0.471195\pi\) |
−0.995908 | + | 0.0903689i | \(0.971195\pi\) | |||||||
\(492\) | 7.31336 | + | 10.6854i | 0.329712 | + | 0.481735i | ||||
\(493\) | −17.4040 | − | 17.4040i | −0.783837 | − | 0.783837i | ||||
\(494\) | −10.3363 | − | 12.4526i | −0.465053 | − | 0.560271i | ||||
\(495\) | −2.40510 | + | 5.19350i | −0.108101 | + | 0.233431i | ||||
\(496\) | −6.94186 | − | 2.69571i | −0.311699 | − | 0.121041i | ||||
\(497\) | − | 20.2416i | − | 0.907958i | ||||||
\(498\) | −5.62766 | + | 4.67124i | −0.252181 | + | 0.209323i | ||||
\(499\) | 15.1622 | − | 15.1622i | 0.678752 | − | 0.678752i | −0.280966 | − | 0.959718i | \(-0.590655\pi\) |
0.959718 | + | 0.280966i | \(0.0906547\pi\) | |||||||
\(500\) | −17.0897 | − | 14.4202i | −0.764275 | − | 0.644890i | ||||
\(501\) | 0.0431873 | + | 0.0431873i | 0.00192947 | + | 0.00192947i | ||||
\(502\) | 0.812271 | − | 8.74667i | 0.0362534 | − | 0.390383i | ||||
\(503\) | −15.6071 | −0.695885 | −0.347942 | − | 0.937516i | \(-0.613120\pi\) | ||||
−0.347942 | + | 0.937516i | \(0.613120\pi\) | |||||||
\(504\) | −4.19328 | − | 7.53906i | −0.186784 | − | 0.335817i | ||||
\(505\) | −1.63424 | − | 0.756813i | −0.0727228 | − | 0.0336777i | ||||
\(506\) | 1.62784 | − | 17.5289i | 0.0723663 | − | 0.779253i | ||||
\(507\) | 0.560408 | − | 0.560408i | 0.0248886 | − | 0.0248886i | ||||
\(508\) | −27.8916 | − | 5.22543i | −1.23749 | − | 0.231841i | ||||
\(509\) | 10.8076 | − | 10.8076i | 0.479040 | − | 0.479040i | −0.425785 | − | 0.904824i | \(-0.640002\pi\) |
0.904824 | + | 0.425785i | \(0.140002\pi\) | |||||||
\(510\) | −11.2076 | + | 2.97072i | −0.496279 | + | 0.131546i | ||||
\(511\) | 8.23632 | 0.364353 | ||||||||
\(512\) | −1.08587 | + | 22.6013i | −0.0479893 | + | 0.998848i | ||||
\(513\) | − | 3.27526i | − | 0.144606i | ||||||
\(514\) | 2.75365 | − | 2.28567i | 0.121458 | − | 0.100817i | ||||
\(515\) | 25.6227 | − | 9.40257i | 1.12907 | − | 0.414327i | ||||
\(516\) | 2.18430 | − | 11.6591i | 0.0961586 | − | 0.513262i | ||||
\(517\) | 14.9205 | − | 14.9205i | 0.656202 | − | 0.656202i | ||||
\(518\) | 32.8047 | + | 3.04645i | 1.44135 | + | 0.133853i | ||||
\(519\) | 11.3367i | 0.497624i | ||||||||
\(520\) | 22.0372 | − | 1.63161i | 0.966393 | − | 0.0715507i | ||||
\(521\) | − | 32.1238i | − | 1.40737i | −0.710513 | − | 0.703684i | \(-0.751537\pi\) | ||
0.710513 | − | 0.703684i | \(-0.248463\pi\) | |||||||
\(522\) | −0.877843 | + | 9.45277i | −0.0384222 | + | 0.413737i | ||||
\(523\) | −3.26553 | + | 3.26553i | −0.142792 | + | 0.142792i | −0.774889 | − | 0.632097i | \(-0.782194\pi\) |
0.632097 | + | 0.774889i | \(0.282194\pi\) | |||||||
\(524\) | −20.0523 | − | 29.2979i | −0.875987 | − | 1.27989i | ||||
\(525\) | 15.1989 | + | 1.24890i | 0.663334 | + | 0.0545064i | ||||
\(526\) | −0.488641 | − | 0.588689i | −0.0213058 | − | 0.0256681i | ||||
\(527\) | − | 6.82607i | − | 0.297348i | ||||||
\(528\) | −3.70616 | + | 9.54393i | −0.161290 | + | 0.415346i | ||||
\(529\) | 0.652259 | 0.0283591 | ||||||||
\(530\) | 43.2182 | − | 11.4556i | 1.87728 | − | 0.497599i | ||||
\(531\) | 2.47155 | − | 2.47155i | 0.107256 | − | 0.107256i | ||||
\(532\) | −11.2844 | − | 16.4874i | −0.489240 | − | 0.714818i | ||||
\(533\) | 15.9951 | − | 15.9951i | 0.692824 | − | 0.692824i | ||||
\(534\) | −18.5214 | − | 1.72001i | −0.801499 | − | 0.0744322i | ||||
\(535\) | 10.6249 | − | 22.9432i | 0.459356 | − | 0.991922i | ||||
\(536\) | 33.0836 | + | 9.43465i | 1.42899 | + | 0.407515i | ||||
\(537\) | 16.7375 | 0.722278 | ||||||||
\(538\) | −5.97805 | − | 0.555159i | −0.257732 | − | 0.0239346i | ||||
\(539\) | −4.16751 | − | 4.16751i | −0.179507 | − | 0.179507i | ||||
\(540\) | 3.64265 | + | 2.59444i | 0.156755 | + | 0.111647i | ||||
\(541\) | −25.5767 | + | 25.5767i | −1.09963 | + | 1.09963i | −0.105176 | + | 0.994454i | \(0.533541\pi\) |
−0.994454 | + | 0.105176i | \(0.966459\pi\) | |||||||
\(542\) | −7.62623 | − | 9.18767i | −0.327574 | − | 0.394644i | ||||
\(543\) | 5.13913i | 0.220541i | ||||||||
\(544\) | −19.6724 | + | 6.57157i | −0.843449 | + | 0.281754i | ||||
\(545\) | 9.40186 | − | 20.3021i | 0.402731 | − | 0.869647i | ||||
\(546\) | −11.5963 | + | 9.62548i | −0.496274 | + | 0.411932i | ||||
\(547\) | −6.44163 | − | 6.44163i | −0.275424 | − | 0.275424i | 0.555855 | − | 0.831279i | \(-0.312391\pi\) |
−0.831279 | + | 0.555855i | \(0.812391\pi\) | |||||||
\(548\) | −1.79849 | + | 9.59971i | −0.0768276 | + | 0.410079i | ||||
\(549\) | 8.01822 | + | 8.01822i | 0.342209 | + | 0.342209i | ||||
\(550\) | −10.3803 | − | 14.8263i | −0.442617 | − | 0.632196i | ||||
\(551\) | 21.9864i | 0.936654i | ||||||||
\(552\) | −13.2283 | − | 3.77239i | −0.563033 | − | 0.160563i | ||||
\(553\) | −33.4557 | −1.42268 | ||||||||
\(554\) | 24.3937 | + | 2.26536i | 1.03639 | + | 0.0962457i | ||||
\(555\) | −16.0337 | + | 5.88378i | −0.680594 | + | 0.249753i | ||||
\(556\) | −13.6440 | + | 9.33833i | −0.578636 | + | 0.396033i | ||||
\(557\) | 1.38276 | + | 1.38276i | 0.0585893 | + | 0.0585893i | 0.735794 | − | 0.677205i | \(-0.236809\pi\) |
−0.677205 | + | 0.735794i | \(0.736809\pi\) | |||||||
\(558\) | −2.02590 | + | 1.68160i | −0.0857631 | + | 0.0711877i | ||||
\(559\) | −20.7223 | −0.876459 | ||||||||
\(560\) | 27.2755 | + | 0.510018i | 1.15260 | + | 0.0215522i | ||||
\(561\) | −9.38474 | −0.396224 | ||||||||
\(562\) | −18.1631 | + | 15.0763i | −0.766165 | + | 0.635955i | ||||
\(563\) | −4.13198 | − | 4.13198i | −0.174142 | − | 0.174142i | 0.614654 | − | 0.788797i | \(-0.289296\pi\) |
−0.788797 | + | 0.614654i | \(0.789296\pi\) | |||||||
\(564\) | −9.31236 | − | 13.6061i | −0.392121 | − | 0.572920i | ||||
\(565\) | 4.81534 | + | 13.1221i | 0.202583 | + | 0.552053i | ||||
\(566\) | 2.50522 | + | 0.232650i | 0.105302 | + | 0.00977900i | ||||
\(567\) | −3.05002 | −0.128089 | ||||||||
\(568\) | 9.12414 | + | 16.4042i | 0.382840 | + | 0.688306i | ||||
\(569\) | 14.2348i | 0.596755i | 0.954448 | + | 0.298378i | \(0.0964455\pi\) | ||||
−0.954448 | + | 0.298378i | \(0.903554\pi\) | |||||||
\(570\) | 8.95569 | + | 5.20279i | 0.375113 | + | 0.217921i | ||||
\(571\) | 14.6986 | + | 14.6986i | 0.615116 | + | 0.615116i | 0.944275 | − | 0.329158i | \(-0.106765\pi\) |
−0.329158 | + | 0.944275i | \(0.606765\pi\) | |||||||
\(572\) | 17.5800 | + | 3.29358i | 0.735056 | + | 0.137711i | ||||
\(573\) | 13.4932 | + | 13.4932i | 0.563686 | + | 0.563686i | ||||
\(574\) | 21.4879 | − | 17.8360i | 0.896887 | − | 0.744462i | ||||
\(575\) | 18.5450 | − | 15.7287i | 0.773378 | − | 0.655931i | ||||
\(576\) | 6.79666 | + | 4.21965i | 0.283194 | + | 0.175819i | ||||
\(577\) | 8.52221i | 0.354784i | 0.984140 | + | 0.177392i | \(0.0567661\pi\) | ||||
−0.984140 | + | 0.177392i | \(0.943234\pi\) | |||||||
\(578\) | 3.21244 | + | 3.87017i | 0.133620 | + | 0.160978i | ||||
\(579\) | 2.11436 | − | 2.11436i | 0.0878696 | − | 0.0878696i | ||||
\(580\) | −24.4527 | − | 17.4162i | −1.01534 | − | 0.723167i | ||||
\(581\) | 11.1536 | + | 11.1536i | 0.462728 | + | 0.462728i | ||||
\(582\) | 17.5924 | + | 1.63374i | 0.729227 | + | 0.0677206i | ||||
\(583\) | 36.1891 | 1.49880 | ||||||||
\(584\) | −6.67490 | + | 3.71263i | −0.276209 | + | 0.153630i | ||||
\(585\) | 3.28306 | − | 7.08935i | 0.135738 | − | 0.293108i | ||||
\(586\) | 24.7329 | + | 2.29685i | 1.02171 | + | 0.0948820i | ||||
\(587\) | −13.9568 | + | 13.9568i | −0.576057 | + | 0.576057i | −0.933815 | − | 0.357757i | \(-0.883541\pi\) |
0.357757 | + | 0.933815i | \(0.383541\pi\) | |||||||
\(588\) | −3.80037 | + | 2.60107i | −0.156725 | + | 0.107267i | ||||
\(589\) | −4.31168 | + | 4.31168i | −0.177660 | + | 0.177660i | ||||
\(590\) | 2.83199 | + | 10.6842i | 0.116591 | + | 0.439860i | ||||
\(591\) | 1.94131 | 0.0798547 | ||||||||
\(592\) | −27.9589 | + | 12.3182i | −1.14910 | + | 0.506276i | ||||
\(593\) | 22.9285i | 0.941561i | 0.882250 | + | 0.470781i | \(0.156028\pi\) | ||||
−0.882250 | + | 0.470781i | \(0.843972\pi\) | |||||||
\(594\) | 2.31192 | + | 2.78528i | 0.0948594 | + | 0.114282i | ||||
\(595\) | 8.61455 | + | 23.4752i | 0.353162 | + | 0.962391i | ||||
\(596\) | 35.3575 | − | 24.1996i | 1.44830 | − | 0.991254i | ||||
\(597\) | −11.1107 | + | 11.1107i | −0.454731 | + | 0.454731i | ||||
\(598\) | −2.22207 | + | 23.9276i | −0.0908671 | + | 0.978473i | ||||
\(599\) | − | 15.8822i | − | 0.648928i | −0.945898 | − | 0.324464i | \(-0.894816\pi\) | ||
0.945898 | − | 0.324464i | \(-0.105184\pi\) | |||||||
\(600\) | −12.8805 | + | 5.83895i | −0.525843 | + | 0.238374i | ||||
\(601\) | − | 4.12190i | − | 0.168136i | −0.996460 | − | 0.0840680i | \(-0.973209\pi\) | ||
0.996460 | − | 0.0840680i | \(-0.0267913\pi\) | |||||||
\(602\) | −25.4729 | − | 2.36557i | −1.03820 | − | 0.0964134i | ||||
\(603\) | 8.60064 | − | 8.60064i | 0.350245 | − | 0.350245i | ||||
\(604\) | 7.90313 | + | 1.48064i | 0.321574 | + | 0.0602462i | ||||
\(605\) | 3.42687 | + | 9.33847i | 0.139322 | + | 0.379663i | ||||
\(606\) | −0.876445 | + | 0.727494i | −0.0356032 | + | 0.0295524i | ||||
\(607\) | 26.7142i | 1.08429i | 0.840283 | + | 0.542147i | \(0.182389\pi\) | ||||
−0.840283 | + | 0.542147i | \(0.817611\pi\) | |||||||
\(608\) | 16.5770 | + | 8.27515i | 0.672286 | + | 0.335602i | ||||
\(609\) | 20.4744 | 0.829666 | ||||||||
\(610\) | −34.6616 | + | 9.18754i | −1.40341 | + | 0.371993i | ||||
\(611\) | −20.3671 | + | 20.3671i | −0.823964 | + | 0.823964i | ||||
\(612\) | −1.35034 | + | 7.20766i | −0.0545844 | + | 0.291353i | ||||
\(613\) | −10.0253 | + | 10.0253i | −0.404918 | + | 0.404918i | −0.879962 | − | 0.475044i | \(-0.842432\pi\) |
0.475044 | + | 0.879962i | \(0.342432\pi\) | |||||||
\(614\) | −4.01302 | + | 43.2129i | −0.161952 | + | 1.74393i | ||||
\(615\) | −6.08351 | + | 13.1366i | −0.245311 | + | 0.529718i | ||||
\(616\) | 21.2342 | + | 6.05549i | 0.855552 | + | 0.243983i | ||||
\(617\) | −26.3757 | −1.06185 | −0.530923 | − | 0.847420i | \(-0.678155\pi\) | ||||
−0.530923 | + | 0.847420i | \(0.678155\pi\) | |||||||
\(618\) | 1.59618 | − | 17.1879i | 0.0642076 | − | 0.691399i | ||||
\(619\) | −7.39439 | − | 7.39439i | −0.297206 | − | 0.297206i | 0.542713 | − | 0.839918i | \(-0.317397\pi\) |
−0.839918 | + | 0.542713i | \(0.817397\pi\) | |||||||
\(620\) | −1.37990 | − | 8.21073i | −0.0554182 | − | 0.329751i | ||||
\(621\) | −3.43891 | + | 3.43891i | −0.137999 | + | 0.137999i | ||||
\(622\) | −14.8619 | + | 12.3361i | −0.595908 | + | 0.494634i | ||||
\(623\) | 40.1168i | 1.60725i | ||||||||
\(624\) | 5.05906 | − | 13.0279i | 0.202525 | − | 0.521532i | ||||
\(625\) | 4.08096 | − | 24.6647i | 0.163239 | − | 0.986587i | ||||
\(626\) | −12.4230 | − | 14.9665i | −0.496521 | − | 0.598182i | ||||
\(627\) | 5.92786 | + | 5.92786i | 0.236736 | + | 0.236736i | ||||
\(628\) | −23.0150 | + | 15.7521i | −0.918400 | + | 0.628577i | ||||
\(629\) | −19.8026 | − | 19.8026i | −0.789583 | − | 0.789583i | ||||
\(630\) | 4.84499 | − | 8.33981i | 0.193029 | − | 0.332266i | ||||
\(631\) | 34.8730i | 1.38827i | 0.719844 | + | 0.694136i | \(0.244213\pi\) | ||||
−0.719844 | + | 0.694136i | \(0.755787\pi\) | |||||||
\(632\) | 27.1132 | − | 15.0806i | 1.07851 | − | 0.599873i | ||||
\(633\) | 23.8141 | 0.946525 | ||||||||
\(634\) | 3.05720 | − | 32.9205i | 0.121417 | − | 1.30744i | ||||
\(635\) | −10.9297 | − | 29.7842i | −0.433732 | − | 1.18195i | ||||
\(636\) | 5.20715 | − | 27.7939i | 0.206477 | − | 1.10210i | ||||
\(637\) | 5.68882 | + | 5.68882i | 0.225399 | + | 0.225399i | ||||
\(638\) | −15.5197 | − | 18.6973i | −0.614429 | − | 0.740232i | ||||
\(639\) | 6.63653 | 0.262537 | ||||||||
\(640\) | −22.3345 | + | 11.8814i | −0.882850 | + | 0.469655i | ||||
\(641\) | 6.05015 | 0.238966 | 0.119483 | − | 0.992836i | \(-0.461876\pi\) | ||||
0.119483 | + | 0.992836i | \(0.461876\pi\) | |||||||
\(642\) | −10.2133 | − | 12.3045i | −0.403088 | − | 0.485619i | ||||
\(643\) | 7.52447 | + | 7.52447i | 0.296736 | + | 0.296736i | 0.839734 | − | 0.542998i | \(-0.182711\pi\) |
−0.542998 | + | 0.839734i | \(0.682711\pi\) | |||||||
\(644\) | −5.46296 | + | 29.1594i | −0.215271 | + | 1.14904i | ||||
\(645\) | 12.4502 | − | 4.56876i | 0.490226 | − | 0.179895i | ||||
\(646\) | −1.57040 | + | 16.9103i | −0.0617865 | + | 0.665328i | ||||
\(647\) | 24.8356 | 0.976389 | 0.488194 | − | 0.872735i | \(-0.337656\pi\) | ||||
0.488194 | + | 0.872735i | \(0.337656\pi\) | |||||||
\(648\) | 2.47181 | − | 1.37484i | 0.0971017 | − | 0.0540087i | ||||
\(649\) | 8.94648i | 0.351180i | ||||||||
\(650\) | 14.1695 | + | 20.2385i | 0.555775 | + | 0.793820i | ||||
\(651\) | 4.01516 | + | 4.01516i | 0.157367 | + | 0.157367i | ||||
\(652\) | 30.7429 | − | 21.0412i | 1.20399 | − | 0.824039i | ||||
\(653\) | 20.0550 | + | 20.0550i | 0.784813 | + | 0.784813i | 0.980639 | − | 0.195826i | \(-0.0627386\pi\) |
−0.195826 | + | 0.980639i | \(0.562739\pi\) | |||||||
\(654\) | −9.03763 | − | 10.8881i | −0.353399 | − | 0.425757i | ||||
\(655\) | 16.6802 | − | 36.0187i | 0.651749 | − | 1.40737i | ||||
\(656\) | −9.37446 | + | 24.1407i | −0.366011 | + | 0.942535i | ||||
\(657\) | 2.70041i | 0.105353i | ||||||||
\(658\) | −27.3613 | + | 22.7112i | −1.06665 | + | 0.885376i | ||||
\(659\) | 20.7719 | − | 20.7719i | 0.809158 | − | 0.809158i | −0.175349 | − | 0.984506i | \(-0.556105\pi\) |
0.984506 | + | 0.175349i | \(0.0561053\pi\) | |||||||
\(660\) | −11.2884 | + | 1.89714i | −0.439402 | + | 0.0738461i | ||||
\(661\) | −11.2908 | − | 11.2908i | −0.439161 | − | 0.439161i | 0.452568 | − | 0.891730i | \(-0.350508\pi\) |
−0.891730 | + | 0.452568i | \(0.850508\pi\) | |||||||
\(662\) | 1.48907 | − | 16.0346i | 0.0578744 | − | 0.623202i | ||||
\(663\) | 12.8106 | 0.497521 | ||||||||
\(664\) | −14.0667 | − | 4.01149i | −0.545894 | − | 0.155676i | ||||
\(665\) | 9.38674 | − | 20.2695i | 0.364002 | − | 0.786017i | ||||
\(666\) | −0.998828 | + | 10.7556i | −0.0387038 | + | 0.416769i | ||||
\(667\) | 23.0850 | − | 23.0850i | 0.893855 | − | 0.893855i | ||||
\(668\) | −0.0224936 | + | 0.120063i | −0.000870305 | + | 0.00464539i | ||||
\(669\) | 7.55849 | − | 7.55849i | 0.292228 | − | 0.292228i | ||||
\(670\) | 9.85489 | + | 37.1793i | 0.380728 | + | 1.43636i | ||||
\(671\) | −29.0242 | −1.12047 | ||||||||
\(672\) | 7.70607 | − | 15.4370i | 0.297268 | − | 0.595495i | ||||
\(673\) | 1.03722i | 0.0399820i | 0.999800 | + | 0.0199910i | \(0.00636376\pi\) | ||||
−0.999800 | + | 0.0199910i | \(0.993636\pi\) | |||||||
\(674\) | −5.19858 | + | 4.31508i | −0.200242 | + | 0.166211i | ||||
\(675\) | −0.409472 | + | 4.98321i | −0.0157606 | + | 0.191804i | ||||
\(676\) | 1.55797 | + | 0.291882i | 0.0599218 | + | 0.0112262i | ||||
\(677\) | 18.4431 | − | 18.4431i | 0.708825 | − | 0.708825i | −0.257463 | − | 0.966288i | \(-0.582887\pi\) |
0.966288 | + | 0.257463i | \(0.0828867\pi\) | |||||||
\(678\) | 8.80245 | + | 0.817450i | 0.338056 | + | 0.0313940i | ||||
\(679\) | − | 38.1046i | − | 1.46232i | ||||||
\(680\) | −17.5632 | − | 15.1418i | −0.673518 | − | 0.580660i | ||||
\(681\) | 21.3153i | 0.816802i | ||||||||
\(682\) | 0.623147 | − | 6.71015i | 0.0238615 | − | 0.256945i | ||||
\(683\) | 0.922102 | − | 0.922102i | 0.0352833 | − | 0.0352833i | −0.689245 | − | 0.724528i | \(-0.742058\pi\) |
0.724528 | + | 0.689245i | \(0.242058\pi\) | |||||||
\(684\) | 5.40565 | − | 3.69977i | 0.206690 | − | 0.141464i | ||||
\(685\) | −10.2511 | + | 3.76178i | −0.391675 | + | 0.143730i | ||||
\(686\) | −12.9409 | − | 15.5905i | −0.494086 | − | 0.595248i | ||||
\(687\) | − | 4.57681i | − | 0.174616i | ||||||
\(688\) | 21.7101 | − | 9.56511i | 0.827690 | − | 0.364666i | ||||
\(689\) | −49.3997 | −1.88198 | ||||||||
\(690\) | −3.94042 | − | 14.8659i | −0.150009 | − | 0.565936i | ||||
\(691\) | −7.34104 | + | 7.34104i | −0.279266 | + | 0.279266i | −0.832816 | − | 0.553550i | \(-0.813273\pi\) |
0.553550 | + | 0.832816i | \(0.313273\pi\) | |||||||
\(692\) | −18.7106 | + | 12.8060i | −0.711269 | + | 0.486811i | ||||
\(693\) | 5.52020 | − | 5.52020i | 0.209695 | − | 0.209695i | ||||
\(694\) | −6.62495 | − | 0.615235i | −0.251480 | − | 0.0233540i | ||||
\(695\) | −16.7739 | − | 7.76795i | −0.636271 | − | 0.294655i | ||||
\(696\) | −16.5929 | + | 9.22911i | −0.628954 | + | 0.349828i | ||||
\(697\) | −23.7380 | −0.899141 | ||||||||
\(698\) | 43.5300 | + | 4.04246i | 1.64763 | + | 0.153009i | ||||
\(699\) | 3.36178 | + | 3.36178i | 0.127154 | + | 0.127154i | ||||
\(700\) | 15.1076 | + | 26.4957i | 0.571012 | + | 1.00145i | ||||
\(701\) | 25.7637 | − | 25.7637i | 0.973080 | − | 0.973080i | −0.0265667 | − | 0.999647i | \(-0.508457\pi\) |
0.999647 | + | 0.0265667i | \(0.00845745\pi\) | |||||||
\(702\) | −3.15587 | − | 3.80203i | −0.119111 | − | 0.143498i | ||||
\(703\) | 25.0166i | 0.943520i | ||||||||
\(704\) | −19.9383 | + | 4.66409i | −0.751453 | + | 0.175785i | ||||
\(705\) | 7.74635 | − | 16.7273i | 0.291744 | − | 0.629985i | ||||
\(706\) | −5.65242 | + | 4.69179i | −0.212732 | + | 0.176578i | ||||
\(707\) | 1.73704 | + | 1.73704i | 0.0653282 | + | 0.0653282i | ||||
\(708\) | 6.87107 | + | 1.28728i | 0.258230 | + | 0.0483790i | ||||
\(709\) | 18.8691 | + | 18.8691i | 0.708645 | + | 0.708645i | 0.966250 | − | 0.257605i | \(-0.0829335\pi\) |
−0.257605 | + | 0.966250i | \(0.582933\pi\) | |||||||
\(710\) | −10.5422 | + | 18.1466i | −0.395642 | + | 0.681028i | ||||
\(711\) | − | 10.9690i | − | 0.411369i | ||||||
\(712\) | −18.0832 | − | 32.5116i | −0.677695 | − | 1.21842i | ||||
\(713\) | 9.05423 | 0.339084 | ||||||||
\(714\) | 15.7474 | + | 1.46240i | 0.589331 | + | 0.0547290i | ||||
\(715\) | 6.88896 | + | 18.7729i | 0.257632 | + | 0.702067i | ||||
\(716\) | 18.9069 | + | 27.6245i | 0.706584 | + | 1.03237i | ||||
\(717\) | 8.43041 | + | 8.43041i | 0.314839 | + | 0.314839i | ||||
\(718\) | −22.8644 | + | 18.9786i | −0.853290 | + | 0.708274i | ||||
\(719\) | −48.8119 | −1.82038 | −0.910189 | − | 0.414194i | \(-0.864063\pi\) | ||||
−0.910189 | + | 0.414194i | \(0.864063\pi\) | |||||||
\(720\) | −0.167218 | + | 8.94271i | −0.00623184 | + | 0.333275i | ||||
\(721\) | −37.2285 | −1.38646 | ||||||||
\(722\) | −9.00217 | + | 7.47225i | −0.335026 | + | 0.278088i | ||||
\(723\) | −20.0105 | − | 20.0105i | −0.744199 | − | 0.744199i | ||||
\(724\) | −8.48187 | + | 5.80521i | −0.315226 | + | 0.215749i | ||||
\(725\) | 2.74873 | − | 33.4517i | 0.102085 | − | 1.24236i | ||||
\(726\) | 6.26432 | + | 0.581744i | 0.232491 | + | 0.0215906i | ||||
\(727\) | 20.2737 | 0.751908 | 0.375954 | − | 0.926638i | \(-0.377315\pi\) | ||||
0.375954 | + | 0.926638i | \(0.377315\pi\) | |||||||
\(728\) | −28.9856 | − | 8.26600i | −1.07428 | − | 0.306358i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | −7.38386 | − | 4.28964i | −0.273289 | − | 0.158767i | ||||
\(731\) | 15.3768 | + | 15.3768i | 0.568730 | + | 0.568730i | ||||
\(732\) | −4.17620 | + | 22.2911i | −0.154357 | + | 0.823904i | ||||
\(733\) | −21.1889 | − | 21.1889i | −0.782631 | − | 0.782631i | 0.197643 | − | 0.980274i | \(-0.436671\pi\) |
−0.980274 | + | 0.197643i | \(0.936671\pi\) | |||||||
\(734\) | −26.7535 | + | 22.2068i | −0.987490 | + | 0.819666i | ||||
\(735\) | −4.67216 | − | 2.16367i | −0.172335 | − | 0.0798080i | ||||
\(736\) | −8.71666 | − | 26.0939i | −0.321300 | − | 0.961834i | ||||
\(737\) | 31.1324i | 1.14678i | ||||||||
\(738\) | 5.84784 | + | 7.04516i | 0.215262 | + | 0.259336i | ||||
\(739\) | −3.65840 | + | 3.65840i | −0.134576 | + | 0.134576i | −0.771186 | − | 0.636610i | \(-0.780336\pi\) |
0.636610 | + | 0.771186i | \(0.280336\pi\) | |||||||
\(740\) | −27.8227 | − | 19.8165i | −1.02278 | − | 0.728467i | ||||
\(741\) | −8.09178 | − | 8.09178i | −0.297259 | − | 0.297259i | ||||
\(742\) | −60.7246 | − | 5.63926i | −2.22927 | − | 0.207024i | ||||
\(743\) | −4.42017 | −0.162160 | −0.0810802 | − | 0.996708i | \(-0.525837\pi\) | ||||
−0.0810802 | + | 0.996708i | \(0.525837\pi\) | |||||||
\(744\) | −5.06386 | − | 1.44409i | −0.185650 | − | 0.0529430i | ||||
\(745\) | 43.4684 | + | 20.1301i | 1.59256 | + | 0.737509i | ||||
\(746\) | −1.99918 | − | 0.185656i | −0.0731952 | − | 0.00679736i | ||||
\(747\) | −3.65688 | + | 3.65688i | −0.133798 | + | 0.133798i | ||||
\(748\) | −10.6011 | − | 15.4890i | −0.387615 | − | 0.566335i | ||||
\(749\) | −24.3865 | + | 24.3865i | −0.891062 | + | 0.891062i | ||||
\(750\) | −12.9753 | − | 9.03551i | −0.473793 | − | 0.329930i | ||||
\(751\) | 30.4414 | 1.11082 | 0.555411 | − | 0.831576i | \(-0.312561\pi\) | ||||
0.555411 | + | 0.831576i | \(0.312561\pi\) | |||||||
\(752\) | 11.9368 | − | 30.7391i | 0.435291 | − | 1.12094i | ||||
\(753\) | − | 6.21144i | − | 0.226358i | ||||||
\(754\) | 21.1850 | + | 25.5225i | 0.771512 | + | 0.929476i | ||||
\(755\) | 3.09695 | + | 8.43940i | 0.112710 | + | 0.307141i | ||||
\(756\) | −3.44533 | − | 5.03390i | −0.125306 | − | 0.183081i | ||||
\(757\) | −18.5016 | + | 18.5016i | −0.672454 | + | 0.672454i | −0.958281 | − | 0.285828i | \(-0.907732\pi\) |
0.285828 | + | 0.958281i | \(0.407732\pi\) | |||||||
\(758\) | 0.913071 | − | 9.83211i | 0.0331642 | − | 0.357118i | ||||
\(759\) | − | 12.4481i | − | 0.451838i | ||||||
\(760\) | 1.52950 | + | 20.6580i | 0.0554807 | + | 0.749346i | ||||
\(761\) | − | 11.9248i | − | 0.432273i | −0.976363 | − | 0.216137i | \(-0.930654\pi\) | ||
0.976363 | − | 0.216137i | \(-0.0693456\pi\) | |||||||
\(762\) | −19.9795 | − | 1.85542i | −0.723780 | − | 0.0672148i | ||||
\(763\) | −21.5792 | + | 21.5792i | −0.781220 | + | 0.781220i | ||||
\(764\) | −7.02778 | + | 37.5119i | −0.254256 | + | 1.35713i | ||||
\(765\) | −7.69675 | + | 2.82442i | −0.278277 | + | 0.102117i | ||||
\(766\) | 4.62817 | − | 3.84161i | 0.167223 | − | 0.138803i | ||||
\(767\) | − | 12.2123i | − | 0.440961i | ||||||
\(768\) | 0.713251 | + | 15.9841i | 0.0257372 | + | 0.576776i | ||||
\(769\) | 51.5679 | 1.85958 | 0.929792 | − | 0.368085i | \(-0.119986\pi\) | ||||
0.929792 | + | 0.368085i | \(0.119986\pi\) | |||||||
\(770\) | 6.32522 | + | 23.8630i | 0.227945 | + | 0.859963i | ||||
\(771\) | 1.78934 | − | 1.78934i | 0.0644414 | − | 0.0644414i | ||||
\(772\) | 5.87803 | + | 1.10124i | 0.211555 | + | 0.0396345i | ||||
\(773\) | −13.7126 | + | 13.7126i | −0.493209 | + | 0.493209i | −0.909316 | − | 0.416107i | \(-0.863394\pi\) |
0.416107 | + | 0.909316i | \(0.363394\pi\) | |||||||
\(774\) | 0.775591 | − | 8.35170i | 0.0278780 | − | 0.300196i | ||||
\(775\) | 7.09912 | − | 6.02103i | 0.255008 | − | 0.216282i |