Newspace parameters
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.e (of order \(3\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.64827.1 |
Defining polynomial: |
\( x^{6} - x^{5} + 3x^{4} + 5x^{2} - 2x + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 484.2 | ||
Root | \(0.222521 + 0.385418i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.484 |
Dual form | 507.2.e.k.22.2 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.222521 | + | 0.385418i | 0.157346 | + | 0.272531i | 0.933911 | − | 0.357506i | \(-0.116373\pi\) |
−0.776565 | + | 0.630037i | \(0.783040\pi\) | |||||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0.900969 | − | 1.56052i | 0.450484 | − | 0.780262i | ||||
\(5\) | 0.246980 | 0.110453 | 0.0552263 | − | 0.998474i | \(-0.482412\pi\) | ||||
0.0552263 | + | 0.998474i | \(0.482412\pi\) | |||||||
\(6\) | 0.222521 | − | 0.385418i | 0.0908438 | − | 0.157346i | ||||
\(7\) | 0.876510 | − | 1.51816i | 0.331290 | − | 0.573811i | −0.651475 | − | 0.758670i | \(-0.725850\pi\) |
0.982765 | + | 0.184859i | \(0.0591829\pi\) | |||||||
\(8\) | 1.69202 | 0.598220 | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0.0549581 | + | 0.0951903i | 0.0173793 | + | 0.0301018i | ||||
\(11\) | 2.82640 | + | 4.89546i | 0.852191 | + | 1.47604i | 0.879227 | + | 0.476403i | \(0.158060\pi\) |
−0.0270365 | + | 0.999634i | \(0.508607\pi\) | |||||||
\(12\) | −1.80194 | −0.520175 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 0.780167 | 0.208509 | ||||||||
\(15\) | −0.123490 | − | 0.213891i | −0.0318849 | − | 0.0552263i | ||||
\(16\) | −1.42543 | − | 2.46891i | −0.356357 | − | 0.617228i | ||||
\(17\) | 1.90097 | − | 3.29257i | 0.461053 | − | 0.798567i | −0.537961 | − | 0.842970i | \(-0.680805\pi\) |
0.999014 | + | 0.0444031i | \(0.0141386\pi\) | |||||||
\(18\) | −0.445042 | −0.104897 | ||||||||
\(19\) | 2.79105 | − | 4.83424i | 0.640311 | − | 1.10905i | −0.345052 | − | 0.938584i | \(-0.612139\pi\) |
0.985363 | − | 0.170468i | \(-0.0545280\pi\) | |||||||
\(20\) | 0.222521 | − | 0.385418i | 0.0497572 | − | 0.0861820i | ||||
\(21\) | −1.75302 | −0.382540 | ||||||||
\(22\) | −1.25786 | + | 2.17869i | −0.268178 | + | 0.464497i | ||||
\(23\) | −4.17241 | − | 7.22682i | −0.870007 | − | 1.50690i | −0.861988 | − | 0.506929i | \(-0.830781\pi\) |
−0.00801894 | − | 0.999968i | \(-0.502553\pi\) | |||||||
\(24\) | −0.846011 | − | 1.46533i | −0.172691 | − | 0.299110i | ||||
\(25\) | −4.93900 | −0.987800 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | −1.57942 | − | 2.73563i | −0.298482 | − | 0.516986i | ||||
\(29\) | 2.96950 | + | 5.14333i | 0.551422 | + | 0.955092i | 0.998172 | + | 0.0604327i | \(0.0192481\pi\) |
−0.446750 | + | 0.894659i | \(0.647419\pi\) | |||||||
\(30\) | 0.0549581 | − | 0.0951903i | 0.0100339 | − | 0.0173793i | ||||
\(31\) | −5.26875 | −0.946295 | −0.473148 | − | 0.880983i | \(-0.656882\pi\) | ||||
−0.473148 | + | 0.880983i | \(0.656882\pi\) | |||||||
\(32\) | 2.32640 | − | 4.02944i | 0.411253 | − | 0.712311i | ||||
\(33\) | 2.82640 | − | 4.89546i | 0.492012 | − | 0.852191i | ||||
\(34\) | 1.69202 | 0.290179 | ||||||||
\(35\) | 0.216480 | − | 0.374955i | 0.0365918 | − | 0.0633789i | ||||
\(36\) | 0.900969 | + | 1.56052i | 0.150161 | + | 0.260087i | ||||
\(37\) | 1.59903 | + | 2.76960i | 0.262879 | + | 0.455320i | 0.967006 | − | 0.254754i | \(-0.0819946\pi\) |
−0.704127 | + | 0.710074i | \(0.748661\pi\) | |||||||
\(38\) | 2.48427 | 0.403002 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.417895 | 0.0660750 | ||||||||
\(41\) | 0.222521 | + | 0.385418i | 0.0347519 | + | 0.0601921i | 0.882878 | − | 0.469602i | \(-0.155603\pi\) |
−0.848126 | + | 0.529794i | \(0.822269\pi\) | |||||||
\(42\) | −0.390084 | − | 0.675645i | −0.0601912 | − | 0.104254i | ||||
\(43\) | −0.856896 | + | 1.48419i | −0.130675 | + | 0.226336i | −0.923937 | − | 0.382544i | \(-0.875048\pi\) |
0.793262 | + | 0.608881i | \(0.208381\pi\) | |||||||
\(44\) | 10.1860 | 1.53559 | ||||||||
\(45\) | −0.123490 | + | 0.213891i | −0.0184088 | + | 0.0318849i | ||||
\(46\) | 1.85690 | − | 3.21624i | 0.273784 | − | 0.474208i | ||||
\(47\) | 6.73556 | 0.982483 | 0.491241 | − | 0.871024i | \(-0.336543\pi\) | ||||
0.491241 | + | 0.871024i | \(0.336543\pi\) | |||||||
\(48\) | −1.42543 | + | 2.46891i | −0.205743 | + | 0.356357i | ||||
\(49\) | 1.96346 | + | 3.40081i | 0.280494 | + | 0.485830i | ||||
\(50\) | −1.09903 | − | 1.90358i | −0.155426 | − | 0.269207i | ||||
\(51\) | −3.80194 | −0.532378 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.06100 | −0.145739 | −0.0728697 | − | 0.997341i | \(-0.523216\pi\) | ||||
−0.0728697 | + | 0.997341i | \(0.523216\pi\) | |||||||
\(54\) | 0.222521 | + | 0.385418i | 0.0302813 | + | 0.0524487i | ||||
\(55\) | 0.698062 | + | 1.20908i | 0.0941267 | + | 0.163032i | ||||
\(56\) | 1.48307 | − | 2.56876i | 0.198184 | − | 0.343265i | ||||
\(57\) | −5.58211 | −0.739368 | ||||||||
\(58\) | −1.32155 | + | 2.28900i | −0.173528 | + | 0.300560i | ||||
\(59\) | −6.85086 | + | 11.8660i | −0.891905 | + | 1.54483i | −0.0543169 | + | 0.998524i | \(0.517298\pi\) |
−0.837589 | + | 0.546302i | \(0.816035\pi\) | |||||||
\(60\) | −0.445042 | −0.0574547 | ||||||||
\(61\) | 4.25786 | − | 7.37484i | 0.545164 | − | 0.944251i | −0.453433 | − | 0.891290i | \(-0.649801\pi\) |
0.998597 | − | 0.0529608i | \(-0.0168658\pi\) | |||||||
\(62\) | −1.17241 | − | 2.03067i | −0.148896 | − | 0.257895i | ||||
\(63\) | 0.876510 | + | 1.51816i | 0.110430 | + | 0.191270i | ||||
\(64\) | −3.63102 | −0.453878 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.51573 | 0.309665 | ||||||||
\(67\) | 2.98039 | + | 5.16218i | 0.364112 | + | 0.630661i | 0.988633 | − | 0.150347i | \(-0.0480392\pi\) |
−0.624521 | + | 0.781008i | \(0.714706\pi\) | |||||||
\(68\) | −3.42543 | − | 5.93301i | −0.415394 | − | 0.719484i | ||||
\(69\) | −4.17241 | + | 7.22682i | −0.502299 | + | 0.870007i | ||||
\(70\) | 0.192685 | 0.0230303 | ||||||||
\(71\) | −2.85958 | + | 4.95295i | −0.339370 | + | 0.587806i | −0.984314 | − | 0.176423i | \(-0.943547\pi\) |
0.644944 | + | 0.764230i | \(0.276881\pi\) | |||||||
\(72\) | −0.846011 | + | 1.46533i | −0.0997033 | + | 0.172691i | ||||
\(73\) | −7.35690 | −0.861060 | −0.430530 | − | 0.902576i | \(-0.641673\pi\) | ||||
−0.430530 | + | 0.902576i | \(0.641673\pi\) | |||||||
\(74\) | −0.711636 | + | 1.23259i | −0.0827260 | + | 0.143286i | ||||
\(75\) | 2.46950 | + | 4.27730i | 0.285153 | + | 0.493900i | ||||
\(76\) | −5.02930 | − | 8.71101i | −0.576901 | − | 0.999221i | ||||
\(77\) | 9.90946 | 1.12929 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.45473 | 0.501196 | 0.250598 | − | 0.968091i | \(-0.419373\pi\) | ||||
0.250598 | + | 0.968091i | \(0.419373\pi\) | |||||||
\(80\) | −0.352052 | − | 0.609771i | −0.0393606 | − | 0.0681745i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −0.0990311 | + | 0.171527i | −0.0109362 | + | 0.0189420i | ||||
\(83\) | 10.1860 | 1.11806 | 0.559028 | − | 0.829149i | \(-0.311174\pi\) | ||||
0.559028 | + | 0.829149i | \(0.311174\pi\) | |||||||
\(84\) | −1.57942 | + | 2.73563i | −0.172329 | + | 0.298482i | ||||
\(85\) | 0.469501 | − | 0.813199i | 0.0509245 | − | 0.0882038i | ||||
\(86\) | −0.762709 | −0.0822450 | ||||||||
\(87\) | 2.96950 | − | 5.14333i | 0.318364 | − | 0.551422i | ||||
\(88\) | 4.78232 | + | 8.28323i | 0.509797 | + | 0.882995i | ||||
\(89\) | 0.0685317 | + | 0.118700i | 0.00726434 | + | 0.0125822i | 0.869635 | − | 0.493696i | \(-0.164354\pi\) |
−0.862370 | + | 0.506278i | \(0.831021\pi\) | |||||||
\(90\) | −0.109916 | −0.0115862 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −15.0368 | −1.56770 | ||||||||
\(93\) | 2.63437 | + | 4.56287i | 0.273172 | + | 0.473148i | ||||
\(94\) | 1.49880 | + | 2.59600i | 0.154590 | + | 0.267757i | ||||
\(95\) | 0.689333 | − | 1.19396i | 0.0707241 | − | 0.122498i | ||||
\(96\) | −4.65279 | −0.474874 | ||||||||
\(97\) | −6.84481 | + | 11.8556i | −0.694986 | + | 1.20375i | 0.275200 | + | 0.961387i | \(0.411256\pi\) |
−0.970186 | + | 0.242363i | \(0.922077\pi\) | |||||||
\(98\) | −0.873822 | + | 1.51350i | −0.0882693 | + | 0.152887i | ||||
\(99\) | −5.65279 | −0.568127 | ||||||||
\(100\) | −4.44989 | + | 7.70743i | −0.444989 | + | 0.770743i | ||||
\(101\) | 2.70560 | + | 4.68623i | 0.269217 | + | 0.466297i | 0.968660 | − | 0.248391i | \(-0.0799019\pi\) |
−0.699443 | + | 0.714688i | \(0.746569\pi\) | |||||||
\(102\) | −0.846011 | − | 1.46533i | −0.0837675 | − | 0.145090i | ||||
\(103\) | 13.7560 | 1.35542 | 0.677710 | − | 0.735330i | \(-0.262973\pi\) | ||||
0.677710 | + | 0.735330i | \(0.262973\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.432960 | −0.0422526 | ||||||||
\(106\) | −0.236094 | − | 0.408928i | −0.0229315 | − | 0.0397186i | ||||
\(107\) | 6.40850 | + | 11.0999i | 0.619533 | + | 1.07306i | 0.989571 | + | 0.144046i | \(0.0460114\pi\) |
−0.370038 | + | 0.929017i | \(0.620655\pi\) | |||||||
\(108\) | 0.900969 | − | 1.56052i | 0.0866958 | − | 0.150161i | ||||
\(109\) | −12.1468 | −1.16345 | −0.581724 | − | 0.813386i | \(-0.697622\pi\) | ||||
−0.581724 | + | 0.813386i | \(0.697622\pi\) | |||||||
\(110\) | −0.310667 | + | 0.538091i | −0.0296209 | + | 0.0513050i | ||||
\(111\) | 1.59903 | − | 2.76960i | 0.151773 | − | 0.262879i | ||||
\(112\) | −4.99761 | −0.472229 | ||||||||
\(113\) | 0.818864 | − | 1.41831i | 0.0770322 | − | 0.133424i | −0.824936 | − | 0.565226i | \(-0.808789\pi\) |
0.901968 | + | 0.431802i | \(0.142122\pi\) | |||||||
\(114\) | −1.24214 | − | 2.15144i | −0.116337 | − | 0.201501i | ||||
\(115\) | −1.03050 | − | 1.78488i | −0.0960946 | − | 0.166441i | ||||
\(116\) | 10.7017 | 0.993629 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −6.09783 | −0.561351 | ||||||||
\(119\) | −3.33244 | − | 5.77195i | −0.305484 | − | 0.529114i | ||||
\(120\) | −0.208947 | − | 0.361908i | −0.0190742 | − | 0.0330375i | ||||
\(121\) | −10.4770 | + | 18.1468i | −0.952458 | + | 1.64970i | ||||
\(122\) | 3.78986 | 0.343117 | ||||||||
\(123\) | 0.222521 | − | 0.385418i | 0.0200640 | − | 0.0347519i | ||||
\(124\) | −4.74698 | + | 8.22201i | −0.426291 | + | 0.738358i | ||||
\(125\) | −2.45473 | −0.219558 | ||||||||
\(126\) | −0.390084 | + | 0.675645i | −0.0347514 | + | 0.0601912i | ||||
\(127\) | −5.39977 | − | 9.35268i | −0.479152 | − | 0.829916i | 0.520562 | − | 0.853824i | \(-0.325723\pi\) |
−0.999714 | + | 0.0239078i | \(0.992389\pi\) | |||||||
\(128\) | −5.46077 | − | 9.45833i | −0.482669 | − | 0.836006i | ||||
\(129\) | 1.71379 | 0.150891 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.907542 | 0.0792923 | 0.0396462 | − | 0.999214i | \(-0.487377\pi\) | ||||
0.0396462 | + | 0.999214i | \(0.487377\pi\) | |||||||
\(132\) | −5.09299 | − | 8.82132i | −0.443288 | − | 0.767797i | ||||
\(133\) | −4.89277 | − | 8.47453i | −0.424257 | − | 0.734835i | ||||
\(134\) | −1.32640 | + | 2.29739i | −0.114583 | + | 0.198464i | ||||
\(135\) | 0.246980 | 0.0212566 | ||||||||
\(136\) | 3.21648 | − | 5.57111i | 0.275811 | − | 0.477718i | ||||
\(137\) | −4.77413 | + | 8.26903i | −0.407881 | + | 0.706471i | −0.994652 | − | 0.103282i | \(-0.967066\pi\) |
0.586771 | + | 0.809753i | \(0.300399\pi\) | |||||||
\(138\) | −3.71379 | −0.316139 | ||||||||
\(139\) | 2.04623 | − | 3.54417i | 0.173559 | − | 0.300613i | −0.766103 | − | 0.642718i | \(-0.777807\pi\) |
0.939662 | + | 0.342105i | \(0.111140\pi\) | |||||||
\(140\) | −0.390084 | − | 0.675645i | −0.0329681 | − | 0.0571024i | ||||
\(141\) | −3.36778 | − | 5.83317i | −0.283618 | − | 0.491241i | ||||
\(142\) | −2.54527 | −0.213594 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 2.85086 | 0.237571 | ||||||||
\(145\) | 0.733406 | + | 1.27030i | 0.0609061 | + | 0.105492i | ||||
\(146\) | −1.63706 | − | 2.83548i | −0.135484 | − | 0.234666i | ||||
\(147\) | 1.96346 | − | 3.40081i | 0.161943 | − | 0.280494i | ||||
\(148\) | 5.76271 | 0.473692 | ||||||||
\(149\) | −7.69418 | + | 13.3267i | −0.630332 | + | 1.09177i | 0.357152 | + | 0.934046i | \(0.383748\pi\) |
−0.987484 | + | 0.157720i | \(0.949586\pi\) | |||||||
\(150\) | −1.09903 | + | 1.90358i | −0.0897355 | + | 0.155426i | ||||
\(151\) | 3.67456 | 0.299032 | 0.149516 | − | 0.988759i | \(-0.452228\pi\) | ||||
0.149516 | + | 0.988759i | \(0.452228\pi\) | |||||||
\(152\) | 4.72252 | − | 8.17965i | 0.383047 | − | 0.663457i | ||||
\(153\) | 1.90097 | + | 3.29257i | 0.153684 | + | 0.266189i | ||||
\(154\) | 2.20506 | + | 3.81928i | 0.177689 | + | 0.307766i | ||||
\(155\) | −1.30127 | −0.104521 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.87800 | −0.389307 | −0.194653 | − | 0.980872i | \(-0.562358\pi\) | ||||
−0.194653 | + | 0.980872i | \(0.562358\pi\) | |||||||
\(158\) | 0.991271 | + | 1.71693i | 0.0788613 | + | 0.136592i | ||||
\(159\) | 0.530499 | + | 0.918852i | 0.0420713 | + | 0.0728697i | ||||
\(160\) | 0.574572 | − | 0.995189i | 0.0454239 | − | 0.0786766i | ||||
\(161\) | −14.6286 | −1.15290 | ||||||||
\(162\) | 0.222521 | − | 0.385418i | 0.0174829 | − | 0.0302813i | ||||
\(163\) | 4.31551 | − | 7.47468i | 0.338017 | − | 0.585462i | −0.646043 | − | 0.763301i | \(-0.723577\pi\) |
0.984060 | + | 0.177839i | \(0.0569106\pi\) | |||||||
\(164\) | 0.801938 | 0.0626208 | ||||||||
\(165\) | 0.698062 | − | 1.20908i | 0.0543441 | − | 0.0941267i | ||||
\(166\) | 2.26659 | + | 3.92586i | 0.175922 | + | 0.304706i | ||||
\(167\) | 4.73490 | + | 8.20108i | 0.366397 | + | 0.634619i | 0.988999 | − | 0.147920i | \(-0.0472577\pi\) |
−0.622602 | + | 0.782539i | \(0.713924\pi\) | |||||||
\(168\) | −2.96615 | −0.228843 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 0.417895 | 0.0320511 | ||||||||
\(171\) | 2.79105 | + | 4.83424i | 0.213437 | + | 0.369684i | ||||
\(172\) | 1.54407 | + | 2.67441i | 0.117734 | + | 0.203922i | ||||
\(173\) | −2.38740 | + | 4.13509i | −0.181510 | + | 0.314385i | −0.942395 | − | 0.334502i | \(-0.891432\pi\) |
0.760885 | + | 0.648887i | \(0.224765\pi\) | |||||||
\(174\) | 2.64310 | 0.200373 | ||||||||
\(175\) | −4.32908 | + | 7.49819i | −0.327248 | + | 0.566810i | ||||
\(176\) | 8.05765 | − | 13.9563i | 0.607368 | − | 1.05199i | ||||
\(177\) | 13.7017 | 1.02988 | ||||||||
\(178\) | −0.0304995 | + | 0.0528266i | −0.00228603 | + | 0.00395952i | ||||
\(179\) | −1.71768 | − | 2.97510i | −0.128385 | − | 0.222370i | 0.794666 | − | 0.607047i | \(-0.207646\pi\) |
−0.923051 | + | 0.384677i | \(0.874313\pi\) | |||||||
\(180\) | 0.222521 | + | 0.385418i | 0.0165857 | + | 0.0287273i | ||||
\(181\) | −13.4862 | −1.00242 | −0.501210 | − | 0.865326i | \(-0.667112\pi\) | ||||
−0.501210 | + | 0.865326i | \(0.667112\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −8.51573 | −0.629501 | ||||||||
\(184\) | −7.05980 | − | 12.2279i | −0.520456 | − | 0.901455i | ||||
\(185\) | 0.394928 | + | 0.684035i | 0.0290357 | + | 0.0502913i | ||||
\(186\) | −1.17241 | + | 2.03067i | −0.0859651 | + | 0.148896i | ||||
\(187\) | 21.4916 | 1.57162 | ||||||||
\(188\) | 6.06853 | − | 10.5110i | 0.442593 | − | 0.766594i | ||||
\(189\) | 0.876510 | − | 1.51816i | 0.0637567 | − | 0.110430i | ||||
\(190\) | 0.613564 | 0.0445126 | ||||||||
\(191\) | 0.650637 | − | 1.12694i | 0.0470784 | − | 0.0815422i | −0.841526 | − | 0.540217i | \(-0.818342\pi\) |
0.888604 | + | 0.458674i | \(0.151676\pi\) | |||||||
\(192\) | 1.81551 | + | 3.14456i | 0.131023 | + | 0.226939i | ||||
\(193\) | −4.59783 | − | 7.96368i | −0.330959 | − | 0.573238i | 0.651741 | − | 0.758442i | \(-0.274039\pi\) |
−0.982700 | + | 0.185203i | \(0.940706\pi\) | |||||||
\(194\) | −6.09246 | −0.437413 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.07606 | 0.505433 | ||||||||
\(197\) | 2.05615 | + | 3.56136i | 0.146495 | + | 0.253737i | 0.929930 | − | 0.367737i | \(-0.119867\pi\) |
−0.783435 | + | 0.621474i | \(0.786534\pi\) | |||||||
\(198\) | −1.25786 | − | 2.17869i | −0.0893926 | − | 0.154832i | ||||
\(199\) | 12.3862 | − | 21.4535i | 0.878034 | − | 1.52080i | 0.0245395 | − | 0.999699i | \(-0.492188\pi\) |
0.853495 | − | 0.521101i | \(-0.174479\pi\) | |||||||
\(200\) | −8.35690 | −0.590922 | ||||||||
\(201\) | 2.98039 | − | 5.16218i | 0.210220 | − | 0.364112i | ||||
\(202\) | −1.20410 | + | 2.08557i | −0.0847204 | + | 0.146740i | ||||
\(203\) | 10.4112 | 0.730722 | ||||||||
\(204\) | −3.42543 | + | 5.93301i | −0.239828 | + | 0.415394i | ||||
\(205\) | 0.0549581 | + | 0.0951903i | 0.00383844 | + | 0.00664838i | ||||
\(206\) | 3.06100 | + | 5.30181i | 0.213270 | + | 0.369394i | ||||
\(207\) | 8.34481 | 0.580005 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 31.5545 | 2.18267 | ||||||||
\(210\) | −0.0963427 | − | 0.166870i | −0.00664828 | − | 0.0115152i | ||||
\(211\) | 2.96950 | + | 5.14333i | 0.204429 | + | 0.354081i | 0.949951 | − | 0.312400i | \(-0.101133\pi\) |
−0.745522 | + | 0.666481i | \(0.767800\pi\) | |||||||
\(212\) | −0.955927 | + | 1.65571i | −0.0656533 | + | 0.113715i | ||||
\(213\) | 5.71917 | 0.391871 | ||||||||
\(214\) | −2.85205 | + | 4.93990i | −0.194962 | + | 0.337684i | ||||
\(215\) | −0.211636 | + | 0.366564i | −0.0144334 | + | 0.0249995i | ||||
\(216\) | 1.69202 | 0.115127 | ||||||||
\(217\) | −4.61811 | + | 7.99881i | −0.313498 | + | 0.542994i | ||||
\(218\) | −2.70291 | − | 4.68157i | −0.183064 | − | 0.317076i | ||||
\(219\) | 3.67845 | + | 6.37126i | 0.248566 | + | 0.430530i | ||||
\(220\) | 2.51573 | 0.169610 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 1.42327 | 0.0955237 | ||||||||
\(223\) | 7.10052 | + | 12.2985i | 0.475486 | + | 0.823566i | 0.999606 | − | 0.0280785i | \(-0.00893883\pi\) |
−0.524120 | + | 0.851645i | \(0.675605\pi\) | |||||||
\(224\) | −4.07822 | − | 7.06368i | −0.272488 | − | 0.471962i | ||||
\(225\) | 2.46950 | − | 4.27730i | 0.164633 | − | 0.285153i | ||||
\(226\) | 0.728857 | 0.0484829 | ||||||||
\(227\) | 8.00365 | − | 13.8627i | 0.531221 | − | 0.920101i | −0.468115 | − | 0.883667i | \(-0.655067\pi\) |
0.999336 | − | 0.0364340i | \(-0.0115999\pi\) | |||||||
\(228\) | −5.02930 | + | 8.71101i | −0.333074 | + | 0.576901i | ||||
\(229\) | −1.84117 | −0.121668 | −0.0608339 | − | 0.998148i | \(-0.519376\pi\) | ||||
−0.0608339 | + | 0.998148i | \(0.519376\pi\) | |||||||
\(230\) | 0.458615 | − | 0.794345i | 0.0302402 | − | 0.0523776i | ||||
\(231\) | −4.95473 | − | 8.58185i | −0.325997 | − | 0.564644i | ||||
\(232\) | 5.02446 | + | 8.70262i | 0.329872 | + | 0.571355i | ||||
\(233\) | −23.4252 | −1.53464 | −0.767318 | − | 0.641267i | \(-0.778409\pi\) | ||||
−0.767318 | + | 0.641267i | \(0.778409\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.66355 | 0.108518 | ||||||||
\(236\) | 12.3448 | + | 21.3818i | 0.803579 | + | 1.39184i | ||||
\(237\) | −2.22737 | − | 3.85791i | −0.144683 | − | 0.250598i | ||||
\(238\) | 1.48307 | − | 2.56876i | 0.0961334 | − | 0.166508i | ||||
\(239\) | −14.6015 | −0.944491 | −0.472246 | − | 0.881467i | \(-0.656556\pi\) | ||||
−0.472246 | + | 0.881467i | \(0.656556\pi\) | |||||||
\(240\) | −0.352052 | + | 0.609771i | −0.0227248 | + | 0.0393606i | ||||
\(241\) | 4.31551 | − | 7.47468i | 0.277987 | − | 0.481487i | −0.692898 | − | 0.721036i | \(-0.743666\pi\) |
0.970884 | + | 0.239549i | \(0.0769996\pi\) | |||||||
\(242\) | −9.32544 | −0.599462 | ||||||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −7.67241 | − | 13.2890i | −0.491176 | − | 0.850741i | ||||
\(245\) | 0.484935 | + | 0.839931i | 0.0309813 | + | 0.0536612i | ||||
\(246\) | 0.198062 | 0.0126280 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −8.91484 | −0.566093 | ||||||||
\(249\) | −5.09299 | − | 8.82132i | −0.322755 | − | 0.559028i | ||||
\(250\) | −0.546229 | − | 0.946096i | −0.0345466 | − | 0.0598364i | ||||
\(251\) | 1.90097 | − | 3.29257i | 0.119988 | − | 0.207825i | −0.799775 | − | 0.600300i | \(-0.795048\pi\) |
0.919763 | + | 0.392475i | \(0.128381\pi\) | |||||||
\(252\) | 3.15883 | 0.198988 | ||||||||
\(253\) | 23.5858 | − | 40.8517i | 1.48282 | − | 2.56833i | ||||
\(254\) | 2.40312 | − | 4.16233i | 0.150785 | − | 0.261168i | ||||
\(255\) | −0.939001 | −0.0588025 | ||||||||
\(256\) | −1.20075 | + | 2.07976i | −0.0750469 | + | 0.129985i | ||||
\(257\) | 10.2981 | + | 17.8368i | 0.642375 | + | 1.11263i | 0.984901 | + | 0.173118i | \(0.0553841\pi\) |
−0.342526 | + | 0.939508i | \(0.611283\pi\) | |||||||
\(258\) | 0.381355 | + | 0.660525i | 0.0237421 | + | 0.0411225i | ||||
\(259\) | 5.60627 | 0.348357 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −5.93900 | −0.367615 | ||||||||
\(262\) | 0.201947 | + | 0.349783i | 0.0124763 | + | 0.0216096i | ||||
\(263\) | −0.166366 | − | 0.288155i | −0.0102586 | − | 0.0177684i | 0.860851 | − | 0.508858i | \(-0.169932\pi\) |
−0.871109 | + | 0.491089i | \(0.836599\pi\) | |||||||
\(264\) | 4.78232 | − | 8.28323i | 0.294332 | − | 0.509797i | ||||
\(265\) | −0.262045 | −0.0160973 | ||||||||
\(266\) | 2.17749 | − | 3.77152i | 0.133510 | − | 0.231247i | ||||
\(267\) | 0.0685317 | − | 0.118700i | 0.00419407 | − | 0.00726434i | ||||
\(268\) | 10.7409 | 0.656107 | ||||||||
\(269\) | −13.6516 | + | 23.6453i | −0.832353 | + | 1.44168i | 0.0638154 | + | 0.997962i | \(0.479673\pi\) |
−0.896168 | + | 0.443715i | \(0.853660\pi\) | |||||||
\(270\) | 0.0549581 | + | 0.0951903i | 0.00334465 | + | 0.00579310i | ||||
\(271\) | 13.9928 | + | 24.2362i | 0.850000 | + | 1.47224i | 0.881207 | + | 0.472730i | \(0.156731\pi\) |
−0.0312076 | + | 0.999513i | \(0.509935\pi\) | |||||||
\(272\) | −10.8388 | −0.657197 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.24937 | −0.256714 | ||||||||
\(275\) | −13.9596 | − | 24.1787i | −0.841794 | − | 1.45803i | ||||
\(276\) | 7.51842 | + | 13.0223i | 0.452556 | + | 0.783849i | ||||
\(277\) | 1.05161 | − | 1.82143i | 0.0631849 | − | 0.109439i | −0.832703 | − | 0.553721i | \(-0.813208\pi\) |
0.895887 | + | 0.444281i | \(0.146541\pi\) | |||||||
\(278\) | 1.82132 | 0.109235 | ||||||||
\(279\) | 2.63437 | − | 4.56287i | 0.157716 | − | 0.273172i | ||||
\(280\) | 0.366289 | − | 0.634431i | 0.0218900 | − | 0.0379145i | ||||
\(281\) | −27.2349 | −1.62470 | −0.812349 | − | 0.583172i | \(-0.801811\pi\) | ||||
−0.812349 | + | 0.583172i | \(0.801811\pi\) | |||||||
\(282\) | 1.49880 | − | 2.59600i | 0.0892525 | − | 0.154590i | ||||
\(283\) | −2.64191 | − | 4.57592i | −0.157045 | − | 0.272010i | 0.776757 | − | 0.629801i | \(-0.216863\pi\) |
−0.933802 | + | 0.357791i | \(0.883530\pi\) | |||||||
\(284\) | 5.15279 | + | 8.92490i | 0.305762 | + | 0.529595i | ||||
\(285\) | −1.37867 | −0.0816651 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.780167 | 0.0460518 | ||||||||
\(288\) | 2.32640 | + | 4.02944i | 0.137084 | + | 0.237437i | ||||
\(289\) | 1.27263 | + | 2.20427i | 0.0748609 | + | 0.129663i | ||||
\(290\) | −0.326396 | + | 0.565335i | −0.0191667 | + | 0.0331976i | ||||
\(291\) | 13.6896 | 0.802500 | ||||||||
\(292\) | −6.62833 | + | 11.4806i | −0.387894 | + | 0.671852i | ||||
\(293\) | 16.3312 | − | 28.2865i | 0.954081 | − | 1.65252i | 0.217625 | − | 0.976033i | \(-0.430169\pi\) |
0.736457 | − | 0.676485i | \(-0.236498\pi\) | |||||||
\(294\) | 1.74764 | 0.101925 | ||||||||
\(295\) | −1.69202 | + | 2.93067i | −0.0985133 | + | 0.170630i | ||||
\(296\) | 2.70560 | + | 4.68623i | 0.157260 | + | 0.272381i | ||||
\(297\) | 2.82640 | + | 4.89546i | 0.164004 | + | 0.284064i | ||||
\(298\) | −6.84846 | −0.396721 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 8.89977 | 0.513829 | ||||||||
\(301\) | 1.50216 | + | 2.60181i | 0.0865828 | + | 0.149966i | ||||
\(302\) | 0.817667 | + | 1.41624i | 0.0470515 | + | 0.0814955i | ||||
\(303\) | 2.70560 | − | 4.68623i | 0.155432 | − | 0.269217i | ||||
\(304\) | −15.9138 | −0.912717 | ||||||||
\(305\) | 1.05161 | − | 1.82143i | 0.0602148 | − | 0.104295i | ||||
\(306\) | −0.846011 | + | 1.46533i | −0.0483632 | + | 0.0837675i | ||||
\(307\) | 20.7614 | 1.18491 | 0.592457 | − | 0.805602i | \(-0.298158\pi\) | ||||
0.592457 | + | 0.805602i | \(0.298158\pi\) | |||||||
\(308\) | 8.92812 | − | 15.4640i | 0.508727 | − | 0.881140i | ||||
\(309\) | −6.87800 | − | 11.9130i | −0.391276 | − | 0.677710i | ||||
\(310\) | −0.289561 | − | 0.501534i | −0.0164459 | − | 0.0284852i | ||||
\(311\) | −11.3013 | −0.640836 | −0.320418 | − | 0.947276i | \(-0.603823\pi\) | ||||
−0.320418 | + | 0.947276i | \(0.603823\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.27173 | −0.241453 | −0.120726 | − | 0.992686i | \(-0.538522\pi\) | ||||
−0.120726 | + | 0.992686i | \(0.538522\pi\) | |||||||
\(314\) | −1.08546 | − | 1.88007i | −0.0612559 | − | 0.106098i | ||||
\(315\) | 0.216480 | + | 0.374955i | 0.0121973 | + | 0.0211263i | ||||
\(316\) | 4.01357 | − | 6.95171i | 0.225781 | − | 0.391064i | ||||
\(317\) | −15.4776 | −0.869307 | −0.434653 | − | 0.900598i | \(-0.643129\pi\) | ||||
−0.434653 | + | 0.900598i | \(0.643129\pi\) | |||||||
\(318\) | −0.236094 | + | 0.408928i | −0.0132395 | + | 0.0229315i | ||||
\(319\) | −16.7860 | + | 29.0742i | −0.939834 | + | 1.62784i | ||||
\(320\) | −0.896789 | −0.0501320 | ||||||||
\(321\) | 6.40850 | − | 11.0999i | 0.357688 | − | 0.619533i | ||||
\(322\) | −3.25518 | − | 5.63813i | −0.181404 | − | 0.314201i | ||||
\(323\) | −10.6114 | − | 18.3795i | −0.590435 | − | 1.02266i | ||||
\(324\) | −1.80194 | −0.100108 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 3.84117 | 0.212743 | ||||||||
\(327\) | 6.07338 | + | 10.5194i | 0.335858 | + | 0.581724i | ||||
\(328\) | 0.376510 | + | 0.652135i | 0.0207893 | + | 0.0360081i | ||||
\(329\) | 5.90379 | − | 10.2257i | 0.325486 | − | 0.563759i | ||||
\(330\) | 0.621334 | 0.0342033 | ||||||||
\(331\) | 3.03415 | − | 5.25530i | 0.166772 | − | 0.288857i | −0.770511 | − | 0.637426i | \(-0.779999\pi\) |
0.937283 | + | 0.348569i | \(0.113332\pi\) | |||||||
\(332\) | 9.17725 | − | 15.8955i | 0.503667 | − | 0.872377i | ||||
\(333\) | −3.19806 | −0.175253 | ||||||||
\(334\) | −2.10723 | + | 3.64983i | −0.115302 | + | 0.199710i | ||||
\(335\) | 0.736094 | + | 1.27495i | 0.0402171 | + | 0.0696581i | ||||
\(336\) | 2.49880 | + | 4.32805i | 0.136321 | + | 0.236115i | ||||
\(337\) | 12.1239 | 0.660432 | 0.330216 | − | 0.943905i | \(-0.392878\pi\) | ||||
0.330216 | + | 0.943905i | \(0.392878\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −1.63773 | −0.0889491 | ||||||||
\(340\) | −0.846011 | − | 1.46533i | −0.0458814 | − | 0.0794689i | ||||
\(341\) | −14.8916 | − | 25.7930i | −0.806424 | − | 1.39677i | ||||
\(342\) | −1.24214 | + | 2.15144i | −0.0671670 | + | 0.116337i | ||||
\(343\) | 19.1551 | 1.03428 | ||||||||
\(344\) | −1.44989 | + | 2.51128i | −0.0781726 | + | 0.135399i | ||||
\(345\) | −1.03050 | + | 1.78488i | −0.0554802 | + | 0.0960946i | ||||
\(346\) | −2.12498 | −0.114240 | ||||||||
\(347\) | −11.5749 | + | 20.0483i | −0.621371 | + | 1.07625i | 0.367859 | + | 0.929882i | \(0.380091\pi\) |
−0.989231 | + | 0.146365i | \(0.953242\pi\) | |||||||
\(348\) | −5.35086 | − | 9.26795i | −0.286836 | − | 0.496814i | ||||
\(349\) | −11.0978 | − | 19.2220i | −0.594053 | − | 1.02893i | −0.993680 | − | 0.112253i | \(-0.964193\pi\) |
0.399626 | − | 0.916678i | \(-0.369140\pi\) | |||||||
\(350\) | −3.85325 | −0.205965 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 26.3013 | 1.40186 | ||||||||
\(353\) | −2.53534 | − | 4.39134i | −0.134943 | − | 0.233728i | 0.790633 | − | 0.612291i | \(-0.209752\pi\) |
−0.925576 | + | 0.378563i | \(0.876418\pi\) | |||||||
\(354\) | 3.04892 | + | 5.28088i | 0.162048 | + | 0.280676i | ||||
\(355\) | −0.706259 | + | 1.22328i | −0.0374843 | + | 0.0649248i | ||||
\(356\) | 0.246980 | 0.0130899 | ||||||||
\(357\) | −3.33244 | + | 5.77195i | −0.176371 | + | 0.305484i | ||||
\(358\) | 0.764438 | − | 1.32405i | 0.0404018 | − | 0.0699780i | ||||
\(359\) | 16.6746 | 0.880050 | 0.440025 | − | 0.897986i | \(-0.354970\pi\) | ||||
0.440025 | + | 0.897986i | \(0.354970\pi\) | |||||||
\(360\) | −0.208947 | + | 0.361908i | −0.0110125 | + | 0.0190742i | ||||
\(361\) | −6.07995 | − | 10.5308i | −0.319997 | − | 0.554252i | ||||
\(362\) | −3.00096 | − | 5.19781i | −0.157727 | − | 0.273191i | ||||
\(363\) | 20.9541 | 1.09980 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.81700 | −0.0951063 | ||||||||
\(366\) | −1.89493 | − | 3.28211i | −0.0990495 | − | 0.171559i | ||||
\(367\) | 0.589638 | + | 1.02128i | 0.0307789 | + | 0.0533105i | 0.881005 | − | 0.473108i | \(-0.156868\pi\) |
−0.850226 | + | 0.526418i | \(0.823535\pi\) | |||||||
\(368\) | −11.8949 | + | 20.6026i | −0.620066 | + | 1.07399i | ||||
\(369\) | −0.445042 | −0.0231680 | ||||||||
\(370\) | −0.175760 | + | 0.304424i | −0.00913730 | + | 0.0158263i | ||||
\(371\) | −0.929976 | + | 1.61077i | −0.0482820 | + | 0.0836268i | ||||
\(372\) | 9.49396 | 0.492239 | ||||||||
\(373\) | 15.0462 | − | 26.0608i | 0.779064 | − | 1.34938i | −0.153417 | − | 0.988161i | \(-0.549028\pi\) |
0.932482 | − | 0.361217i | \(-0.117639\pi\) | |||||||
\(374\) | 4.78232 | + | 8.28323i | 0.247288 | + | 0.428315i | ||||
\(375\) | 1.22737 | + | 2.12586i | 0.0633809 | + | 0.109779i | ||||
\(376\) | 11.3967 | 0.587741 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0.780167 | 0.0401275 | ||||||||
\(379\) | −9.58157 | − | 16.5958i | −0.492172 | − | 0.852467i | 0.507787 | − | 0.861483i | \(-0.330464\pi\) |
−0.999959 | + | 0.00901515i | \(0.997130\pi\) | |||||||
\(380\) | −1.24214 | − | 2.15144i | −0.0637202 | − | 0.110367i | ||||
\(381\) | −5.39977 | + | 9.35268i | −0.276639 | + | 0.479152i | ||||
\(382\) | 0.579121 | 0.0296304 | ||||||||
\(383\) | −7.69418 | + | 13.3267i | −0.393154 | + | 0.680963i | −0.992864 | − | 0.119255i | \(-0.961949\pi\) |
0.599710 | + | 0.800218i | \(0.295283\pi\) | |||||||
\(384\) | −5.46077 | + | 9.45833i | −0.278669 | + | 0.482669i | ||||
\(385\) | 2.44743 | 0.124733 | ||||||||
\(386\) | 2.04623 | − | 3.54417i | 0.104150 | − | 0.180394i | ||||
\(387\) | −0.856896 | − | 1.48419i | −0.0435585 | − | 0.0754455i | ||||
\(388\) | 12.3339 | + | 21.3630i | 0.626160 | + | 1.08454i | ||||
\(389\) | −24.0315 | −1.21844 | −0.609222 | − | 0.793000i | \(-0.708518\pi\) | ||||
−0.609222 | + | 0.793000i | \(0.708518\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −31.7265 | −1.60448 | ||||||||
\(392\) | 3.32222 | + | 5.75425i | 0.167797 | + | 0.290633i | ||||
\(393\) | −0.453771 | − | 0.785955i | −0.0228897 | − | 0.0396462i | ||||
\(394\) | −0.915075 | + | 1.58496i | −0.0461008 | + | 0.0798489i | ||||
\(395\) | 1.10023 | 0.0553585 | ||||||||
\(396\) | −5.09299 | + | 8.82132i | −0.255932 | + | 0.443288i | ||||
\(397\) | 14.8007 | − | 25.6356i | 0.742828 | − | 1.28662i | −0.208375 | − | 0.978049i | \(-0.566817\pi\) |
0.951203 | − | 0.308567i | \(-0.0998493\pi\) | |||||||
\(398\) | 11.0248 | 0.552621 | ||||||||
\(399\) | −4.89277 | + | 8.47453i | −0.244945 | + | 0.424257i | ||||
\(400\) | 7.04019 | + | 12.1940i | 0.352009 | + | 0.609698i | ||||
\(401\) | −10.5516 | − | 18.2759i | −0.526922 | − | 0.912656i | −0.999508 | − | 0.0313711i | \(-0.990013\pi\) |
0.472586 | − | 0.881285i | \(-0.343321\pi\) | |||||||
\(402\) | 2.65279 | 0.132309 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 9.75063 | 0.485112 | ||||||||
\(405\) | −0.123490 | − | 0.213891i | −0.00613626 | − | 0.0106283i | ||||
\(406\) | 2.31671 | + | 4.01266i | 0.114976 | + | 0.199145i | ||||
\(407\) | −9.03899 | + | 15.6560i | −0.448046 | + | 0.776039i | ||||
\(408\) | −6.43296 | −0.318479 | ||||||||
\(409\) | −18.0112 | + | 31.1963i | −0.890596 | + | 1.54256i | −0.0514328 | + | 0.998676i | \(0.516379\pi\) |
−0.839163 | + | 0.543880i | \(0.816955\pi\) | |||||||
\(410\) | −0.0244587 | + | 0.0423637i | −0.00120793 | + | 0.00209219i | ||||
\(411\) | 9.54825 | 0.470981 | ||||||||
\(412\) | 12.3937 | − | 21.4666i | 0.610595 | − | 1.05758i | ||||
\(413\) | 12.0097 | + | 20.8014i | 0.590958 | + | 1.02357i | ||||
\(414\) | 1.85690 | + | 3.21624i | 0.0912615 | + | 0.158069i | ||||
\(415\) | 2.51573 | 0.123492 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −4.09246 | −0.200409 | ||||||||
\(418\) | 7.02153 | + | 12.1617i | 0.343434 | + | 0.594846i | ||||
\(419\) | −2.98427 | − | 5.16891i | −0.145791 | − | 0.252518i | 0.783877 | − | 0.620917i | \(-0.213239\pi\) |
−0.929668 | + | 0.368399i | \(0.879906\pi\) | |||||||
\(420\) | −0.390084 | + | 0.675645i | −0.0190341 | + | 0.0329681i | ||||
\(421\) | 2.09544 | 0.102126 | 0.0510628 | − | 0.998695i | \(-0.483739\pi\) | ||||
0.0510628 | + | 0.998695i | \(0.483739\pi\) | |||||||
\(422\) | −1.32155 | + | 2.28900i | −0.0643321 | + | 0.111427i | ||||
\(423\) | −3.36778 | + | 5.83317i | −0.163747 | + | 0.283618i | ||||
\(424\) | −1.79523 | −0.0871842 | ||||||||
\(425\) | −9.38889 | + | 16.2620i | −0.455428 | + | 0.788824i | ||||
\(426\) | 1.27263 | + | 2.20427i | 0.0616594 | + | 0.106797i | ||||
\(427\) | −7.46412 | − | 12.9282i | −0.361214 | − | 0.625641i | ||||
\(428\) | 23.0954 | 1.11636 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.188374 | −0.00908418 | ||||||||
\(431\) | −1.44289 | − | 2.49915i | −0.0695014 | − | 0.120380i | 0.829181 | − | 0.558981i | \(-0.188807\pi\) |
−0.898682 | + | 0.438601i | \(0.855474\pi\) | |||||||
\(432\) | −1.42543 | − | 2.46891i | −0.0685809 | − | 0.118786i | ||||
\(433\) | 6.32424 | − | 10.9539i | 0.303924 | − | 0.526411i | −0.673097 | − | 0.739554i | \(-0.735037\pi\) |
0.977021 | + | 0.213143i | \(0.0683699\pi\) | |||||||
\(434\) | −4.11051 | −0.197311 | ||||||||
\(435\) | 0.733406 | − | 1.27030i | 0.0351641 | − | 0.0609061i | ||||
\(436\) | −10.9438 | + | 18.9553i | −0.524115 | + | 0.907794i | ||||
\(437\) | −46.5816 | −2.22830 | ||||||||
\(438\) | −1.63706 | + | 2.83548i | −0.0782219 | + | 0.135484i | ||||
\(439\) | 5.46346 | + | 9.46299i | 0.260757 | + | 0.451644i | 0.966443 | − | 0.256880i | \(-0.0826946\pi\) |
−0.705687 | + | 0.708524i | \(0.749361\pi\) | |||||||
\(440\) | 1.18114 | + | 2.04579i | 0.0563085 | + | 0.0975291i | ||||
\(441\) | −3.92692 | −0.186996 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −19.2403 | −0.914133 | −0.457067 | − | 0.889433i | \(-0.651100\pi\) | ||||
−0.457067 | + | 0.889433i | \(0.651100\pi\) | |||||||
\(444\) | −2.88135 | − | 4.99065i | −0.136743 | − | 0.236846i | ||||
\(445\) | 0.0169259 | + | 0.0293166i | 0.000802366 | + | 0.00138974i | ||||
\(446\) | −3.16003 | + | 5.47333i | −0.149632 | + | 0.259170i | ||||
\(447\) | 15.3884 | 0.727844 | ||||||||
\(448\) | −3.18263 | + | 5.51247i | −0.150365 | + | 0.260440i | ||||
\(449\) | −14.4100 | + | 24.9588i | −0.680050 | + | 1.17788i | 0.294916 | + | 0.955523i | \(0.404708\pi\) |
−0.974965 | + | 0.222357i | \(0.928625\pi\) | |||||||
\(450\) | 2.19806 | 0.103618 | ||||||||
\(451\) | −1.25786 | + | 2.17869i | −0.0592305 | + | 0.102590i | ||||
\(452\) | −1.47554 | − | 2.55571i | −0.0694036 | − | 0.120211i | ||||
\(453\) | −1.83728 | − | 3.18226i | −0.0863230 | − | 0.149516i | ||||
\(454\) | 7.12392 | 0.334342 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −9.44504 | −0.442305 | ||||||||
\(457\) | −9.03534 | − | 15.6497i | −0.422656 | − | 0.732061i | 0.573543 | − | 0.819176i | \(-0.305569\pi\) |
−0.996198 | + | 0.0871147i | \(0.972235\pi\) | |||||||
\(458\) | −0.409698 | − | 0.709618i | −0.0191439 | − | 0.0331583i | ||||
\(459\) | 1.90097 | − | 3.29257i | 0.0887296 | − | 0.153684i | ||||
\(460\) | −3.71379 | −0.173156 | ||||||||
\(461\) | −3.78382 | + | 6.55376i | −0.176230 | + | 0.305239i | −0.940586 | − | 0.339555i | \(-0.889724\pi\) |
0.764356 | + | 0.644794i | \(0.223057\pi\) | |||||||
\(462\) | 2.20506 | − | 3.81928i | 0.102589 | − | 0.177689i | ||||
\(463\) | −35.3551 | −1.64309 | −0.821545 | − | 0.570143i | \(-0.806888\pi\) | ||||
−0.821545 | + | 0.570143i | \(0.806888\pi\) | |||||||
\(464\) | 8.46562 | − | 14.6629i | 0.393006 | − | 0.680707i | ||||
\(465\) | 0.650637 | + | 1.12694i | 0.0301726 | + | 0.0522604i | ||||
\(466\) | −5.21260 | − | 9.02848i | −0.241469 | − | 0.418236i | ||||
\(467\) | 13.0000 | 0.601568 | 0.300784 | − | 0.953692i | \(-0.402752\pi\) | ||||
0.300784 | + | 0.953692i | \(0.402752\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.4494 | 0.482506 | ||||||||
\(470\) | 0.370174 | + | 0.641160i | 0.0170748 | + | 0.0295745i | ||||
\(471\) | 2.43900 | + | 4.22447i | 0.112383 | + | 0.194653i | ||||
\(472\) | −11.5918 | + | 20.0776i | −0.533556 | + | 0.924145i | ||||
\(473\) | −9.68771 | −0.445441 | ||||||||
\(474\) | 0.991271 | − | 1.71693i | 0.0455306 | − | 0.0788613i | ||||
\(475\) | −13.7850 | + | 23.8763i | −0.632500 | + | 1.09552i | ||||
\(476\) | −12.0097 | −0.550463 | ||||||||
\(477\) | 0.530499 | − | 0.918852i | 0.0242899 | − | 0.0420713i | ||||
\(478\) | −3.24914 | − | 5.62767i | −0.148612 | − | 0.257404i | ||||
\(479\) | −12.7632 | − | 22.1066i | −0.583167 | − | 1.01008i | −0.995101 | − | 0.0988618i | \(-0.968480\pi\) |
0.411934 | − | 0.911214i | \(-0.364853\pi\) | |||||||
\(480\) | −1.14914 | −0.0524510 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 3.84117 | 0.174960 | ||||||||
\(483\) | 7.31431 | + | 12.6688i | 0.332813 | + | 0.576449i | ||||
\(484\) | 18.8790 | + | 32.6993i | 0.858135 | + | 1.48633i | ||||
\(485\) | −1.69053 | + | 2.92808i | −0.0767630 | + | 0.132957i | ||||
\(486\) | −0.445042 | −0.0201875 | ||||||||
\(487\) | 8.00365 | − | 13.8627i | 0.362680 | − | 0.628180i | −0.625721 | − | 0.780047i | \(-0.715195\pi\) |
0.988401 | + | 0.151867i | \(0.0485285\pi\) | |||||||
\(488\) | 7.20440 | − | 12.4784i | 0.326128 | − | 0.564870i | ||||
\(489\) | −8.63102 | −0.390308 | ||||||||
\(490\) | −0.215816 | + | 0.373805i | −0.00974958 | + | 0.0168868i | ||||
\(491\) | −10.3693 | − | 17.9601i | −0.467959 | − | 0.810528i | 0.531371 | − | 0.847139i | \(-0.321677\pi\) |
−0.999330 | + | 0.0366110i | \(0.988344\pi\) | |||||||
\(492\) | −0.400969 | − | 0.694498i | −0.0180771 | − | 0.0313104i | ||||
\(493\) | 22.5797 | 1.01694 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.39612 | −0.0627511 | ||||||||
\(496\) | 7.51022 | + | 13.0081i | 0.337219 | + | 0.584080i | ||||
\(497\) | 5.01291 | + | 8.68261i | 0.224860 | + | 0.389468i | ||||
\(498\) | 2.26659 | − | 3.92586i | 0.101569 | − | 0.175922i | ||||
\(499\) | 8.06770 | 0.361160 | 0.180580 | − | 0.983560i | \(-0.442203\pi\) | ||||
0.180580 | + | 0.983560i | \(0.442203\pi\) | |||||||
\(500\) | −2.21164 | + | 3.83067i | −0.0989074 | + | 0.171313i | ||||
\(501\) | 4.73490 | − | 8.20108i | 0.211540 | − | 0.366397i | ||||
\(502\) | 1.69202 | 0.0755186 | ||||||||
\(503\) | 15.1211 | − | 26.1905i | 0.674216 | − | 1.16778i | −0.302481 | − | 0.953155i | \(-0.597815\pi\) |
0.976697 | − | 0.214622i | \(-0.0688518\pi\) | |||||||
\(504\) | 1.48307 | + | 2.56876i | 0.0660614 | + | 0.114422i | ||||
\(505\) | 0.668227 | + | 1.15740i | 0.0297357 | + | 0.0515037i | ||||
\(506\) | 20.9933 | 0.933266 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −19.4601 | −0.863403 | ||||||||
\(509\) | 8.02475 | + | 13.8993i | 0.355691 | + | 0.616075i | 0.987236 | − | 0.159264i | \(-0.0509122\pi\) |
−0.631545 | + | 0.775339i | \(0.717579\pi\) | |||||||
\(510\) | −0.208947 | − | 0.361908i | −0.00925235 | − | 0.0160255i | ||||
\(511\) | −6.44839 | + | 11.1689i | −0.285260 | + | 0.494085i | ||||
\(512\) | −22.9119 | −1.01257 | ||||||||
\(513\) | 2.79105 | − | 4.83424i | 0.123228 | − | 0.213437i | ||||
\(514\) | −4.58306 | + | 7.93810i | −0.202150 | + | 0.350135i | ||||
\(515\) | 3.39745 | 0.149710 | ||||||||
\(516\) | 1.54407 | − | 2.67441i | 0.0679740 | − | 0.117734i | ||||
\(517\) | 19.0374 | + | 32.9737i | 0.837262 | + | 1.45018i | ||||
\(518\) | 1.24751 | + | 2.16075i | 0.0548125 | + | 0.0949381i | ||||
\(519\) | 4.77479 | 0.209590 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −2.69309 | −0.117986 | −0.0589931 | − | 0.998258i | \(-0.518789\pi\) | ||||
−0.0589931 | + | 0.998258i | \(0.518789\pi\) | |||||||
\(522\) | −1.32155 | − | 2.28900i | −0.0578428 | − | 0.100187i | ||||
\(523\) | −17.6978 | − | 30.6535i | −0.773872 | − | 1.34039i | −0.935426 | − | 0.353522i | \(-0.884984\pi\) |
0.161554 | − | 0.986864i | \(-0.448349\pi\) | |||||||
\(524\) | 0.817667 | − | 1.41624i | 0.0357200 | − | 0.0618688i | ||||
\(525\) | 8.65817 | 0.377874 | ||||||||
\(526\) | 0.0740400 | − | 0.128241i | 0.00322830 | − | 0.00559157i | ||||
\(527\) | −10.0157 | + | 17.3478i | −0.436292 | + | 0.755680i | ||||
\(528\) | −16.1153 | −0.701328 | ||||||||
\(529\) | −23.3180 | + | 40.3879i | −1.01382 | + | 1.75600i | ||||
\(530\) | −0.0583105 | − | 0.100997i | −0.00253285 | − | 0.00438702i | ||||
\(531\) | −6.85086 | − | 11.8660i | −0.297302 | − | 0.514942i | ||||
\(532\) | −17.6329 | −0.764485 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0.0609989 | 0.00263968 | ||||||||
\(535\) | 1.58277 | + | 2.74144i | 0.0684291 | + | 0.118523i | ||||
\(536\) | 5.04288 | + | 8.73452i | 0.217819 | + | 0.377274i | ||||
\(537\) | −1.71768 | + | 2.97510i | −0.0741232 | + | 0.128385i | ||||
\(538\) | −12.1511 | −0.523870 | ||||||||
\(539\) | −11.0990 | + | 19.2241i | −0.478069 | + | 0.828040i | ||||
\(540\) | 0.222521 | − | 0.385418i | 0.00957578 | − | 0.0165857i | ||||
\(541\) | 34.7338 | 1.49332 | 0.746660 | − | 0.665205i | \(-0.231656\pi\) | ||||
0.746660 | + | 0.665205i | \(0.231656\pi\) | |||||||
\(542\) | −6.22737 | + | 10.7861i | −0.267488 | + | 0.463303i | ||||
\(543\) | 6.74309 | + | 11.6794i | 0.289374 | + | 0.501210i | ||||
\(544\) | −8.84481 | − | 15.3197i | −0.379218 | − | 0.656825i | ||||
\(545\) | −3.00000 | −0.128506 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −26.1183 | −1.11674 | −0.558368 | − | 0.829593i | \(-0.688572\pi\) | ||||
−0.558368 | + | 0.829593i | \(0.688572\pi\) | |||||||
\(548\) | 8.60268 | + | 14.9003i | 0.367488 | + | 0.636508i | ||||
\(549\) | 4.25786 | + | 7.37484i | 0.181721 | + | 0.314750i | ||||
\(550\) | 6.21260 | − | 10.7605i | 0.264906 | − | 0.458831i | ||||
\(551\) | 33.1521 | 1.41233 | ||||||||
\(552\) | −7.05980 | + | 12.2279i | −0.300485 | + | 0.520456i | ||||
\(553\) | 3.90462 | − | 6.76299i | 0.166041 | − | 0.287592i | ||||
\(554\) | 0.936017 | 0.0397676 | ||||||||
\(555\) | 0.394928 | − | 0.684035i | 0.0167638 | − | 0.0290357i | ||||
\(556\) | −3.68718 | − | 6.38638i | −0.156371 | − | 0.270843i | ||||
\(557\) | 12.3874 | + | 21.4556i | 0.524871 | + | 0.909103i | 0.999581 | + | 0.0289605i | \(0.00921969\pi\) |
−0.474710 | + | 0.880142i | \(0.657447\pi\) | |||||||
\(558\) | 2.34481 | 0.0992639 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −1.23431 | −0.0521590 | ||||||||
\(561\) | −10.7458 | − | 18.6122i | −0.453687 | − | 0.785809i | ||||
\(562\) | −6.06033 | − | 10.4968i | −0.255640 | − | 0.442781i | ||||
\(563\) | −2.63049 | + | 4.55614i | −0.110862 | + | 0.192019i | −0.916118 | − | 0.400909i | \(-0.868694\pi\) |
0.805256 | + | 0.592927i | \(0.202028\pi\) | |||||||
\(564\) | −12.1371 | −0.511063 | ||||||||
\(565\) | 0.202243 | − | 0.350294i | 0.00850841 | − | 0.0147370i | ||||
\(566\) | 1.17576 | − | 2.03648i | 0.0494209 | − | 0.0855994i | ||||
\(567\) | −1.75302 | −0.0736199 | ||||||||
\(568\) | −4.83848 | + | 8.38049i | −0.203018 | + | 0.351638i | ||||
\(569\) | 16.8729 | + | 29.2248i | 0.707350 | + | 1.22517i | 0.965837 | + | 0.259151i | \(0.0834427\pi\) |
−0.258487 | + | 0.966015i | \(0.583224\pi\) | |||||||
\(570\) | −0.306782 | − | 0.531362i | −0.0128497 | − | 0.0222563i | ||||
\(571\) | 23.0887 | 0.966234 | 0.483117 | − | 0.875556i | \(-0.339505\pi\) | ||||
0.483117 | + | 0.875556i | \(0.339505\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −1.30127 | −0.0543615 | ||||||||
\(574\) | 0.173604 | + | 0.300690i | 0.00724607 | + | 0.0125506i | ||||
\(575\) | 20.6075 | + | 35.6933i | 0.859393 | + | 1.48851i | ||||
\(576\) | 1.81551 | − | 3.14456i | 0.0756463 | − | 0.131023i | ||||
\(577\) | −3.57002 | −0.148622 | −0.0743110 | − | 0.997235i | \(-0.523676\pi\) | ||||
−0.0743110 | + | 0.997235i | \(0.523676\pi\) | |||||||
\(578\) | −0.566376 | + | 0.980992i | −0.0235581 | + | 0.0408039i | ||||
\(579\) | −4.59783 | + | 7.96368i | −0.191079 | + | 0.330959i | ||||
\(580\) | 2.64310 | 0.109749 | ||||||||
\(581\) | 8.92812 | − | 15.4640i | 0.370401 | − | 0.641553i | ||||
\(582\) | 3.04623 | + | 5.27622i | 0.126270 | + | 0.218706i | ||||
\(583\) | −2.99880 | − | 5.19408i | −0.124198 | − | 0.215117i | ||||
\(584\) | −12.4480 | −0.515103 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 14.5362 | 0.600484 | ||||||||
\(587\) | −5.73125 | − | 9.92682i | −0.236554 | − | 0.409724i | 0.723169 | − | 0.690671i | \(-0.242685\pi\) |
−0.959723 | + | 0.280947i | \(0.909351\pi\) | |||||||
\(588\) | −3.53803 | − | 6.12805i | −0.145906 | − | 0.252717i | ||||
\(589\) | −14.7054 | + | 25.4704i | −0.605924 | + | 1.04949i | ||||
\(590\) | −1.50604 | −0.0620027 | ||||||||
\(591\) | 2.05615 | − | 3.56136i | 0.0845789 | − | 0.146495i | ||||
\(592\) | 4.55861 | − | 7.89574i | 0.187358 | − | 0.324513i | ||||
\(593\) | 21.8538 | 0.897430 | 0.448715 | − | 0.893675i | \(-0.351882\pi\) | ||||
0.448715 | + | 0.893675i | \(0.351882\pi\) | |||||||
\(594\) | −1.25786 | + | 2.17869i | −0.0516108 | + | 0.0893926i | ||||
\(595\) | −0.823044 | − | 1.42555i | −0.0337415 | − | 0.0584420i | ||||
\(596\) | 13.8644 | + | 24.0139i | 0.567909 | + | 0.983647i | ||||
\(597\) | −24.7724 | −1.01387 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 27.0573 | 1.10553 | 0.552765 | − | 0.833337i | \(-0.313573\pi\) | ||||
0.552765 | + | 0.833337i | \(0.313573\pi\) | |||||||
\(600\) | 4.17845 | + | 7.23728i | 0.170584 | + | 0.295461i | ||||
\(601\) | −5.43900 | − | 9.42063i | −0.221861 | − | 0.384275i | 0.733512 | − | 0.679677i | \(-0.237880\pi\) |
−0.955373 | + | 0.295401i | \(0.904547\pi\) | |||||||
\(602\) | −0.668522 | + | 1.15791i | −0.0272469 | + | 0.0471931i | ||||
\(603\) | −5.96077 | −0.242741 | ||||||||
\(604\) | 3.31067 | − | 5.73424i | 0.134709 | − | 0.233323i | ||||
\(605\) | −2.58761 | + | 4.48188i | −0.105201 | + | 0.182214i | ||||
\(606\) | 2.40821 | 0.0978267 | ||||||||
\(607\) | 14.8180 | − | 25.6655i | 0.601443 | − | 1.04173i | −0.391160 | − | 0.920323i | \(-0.627926\pi\) |
0.992603 | − | 0.121407i | \(-0.0387405\pi\) | |||||||
\(608\) | −12.9862 | − | 22.4927i | −0.526660 | − | 0.912201i | ||||
\(609\) | −5.20560 | − | 9.01636i | −0.210941 | − | 0.365361i | ||||
\(610\) | 0.936017 | 0.0378982 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 6.85086 | 0.276929 | ||||||||
\(613\) | 5.11715 | + | 8.86317i | 0.206680 | + | 0.357980i | 0.950667 | − | 0.310214i | \(-0.100401\pi\) |
−0.743987 | + | 0.668194i | \(0.767067\pi\) | |||||||
\(614\) | 4.61984 | + | 8.00180i | 0.186442 | + | 0.322926i | ||||
\(615\) | 0.0549581 | − | 0.0951903i | 0.00221613 | − | 0.00383844i | ||||
\(616\) | 16.7670 | 0.675563 | ||||||||
\(617\) | 13.1414 | − | 22.7615i | 0.529052 | − | 0.916345i | −0.470374 | − | 0.882467i | \(-0.655881\pi\) |
0.999426 | − | 0.0338776i | \(-0.0107856\pi\) | |||||||
\(618\) | 3.06100 | − | 5.30181i | 0.123131 | − | 0.213270i | ||||
\(619\) | −29.0834 | −1.16896 | −0.584479 | − | 0.811408i | \(-0.698701\pi\) | ||||
−0.584479 | + | 0.811408i | \(0.698701\pi\) | |||||||
\(620\) | −1.17241 | + | 2.03067i | −0.0470850 | + | 0.0815536i | ||||
\(621\) | −4.17241 | − | 7.22682i | −0.167433 | − | 0.290002i | ||||
\(622\) | −2.51477 | − | 4.35571i | −0.100833 | − | 0.174648i | ||||
\(623\) | 0.240275 | 0.00962641 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.0887 | 0.963549 | ||||||||
\(626\) | −0.950550 | − | 1.64640i | −0.0379916 | − | 0.0658034i | ||||
\(627\) | −15.7772 | − | 27.3270i | −0.630082 | − | 1.09133i | ||||
\(628\) | −4.39493 | + | 7.61224i | −0.175377 | + | 0.303761i | ||||
\(629\) | 12.1588 | 0.484804 | ||||||||
\(630\) | −0.0963427 | + | 0.166870i | −0.00383839 | + | 0.00664828i | ||||
\(631\) | 12.7240 | − | 22.0386i | 0.506535 | − | 0.877344i | −0.493436 | − | 0.869782i | \(-0.664259\pi\) |
0.999971 | − | 0.00756243i | \(-0.00240722\pi\) | |||||||
\(632\) | 7.53750 | 0.299826 | ||||||||
\(633\) | 2.96950 | − | 5.14333i | 0.118027 | − | 0.204429i | ||||
\(634\) | −3.44408 | − | 5.96533i | −0.136782 | − | 0.236913i | ||||
\(635\) | −1.33363 | − | 2.30992i | −0.0529236 | − | 0.0916664i | ||||
\(636\) | 1.91185 | 0.0758099 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −14.9409 | −0.591517 | ||||||||
\(639\) | −2.85958 | − | 4.95295i | −0.113123 | − | 0.195935i | ||||
\(640\) | −1.34870 | − | 2.33602i | −0.0533120 | − | 0.0923391i | ||||
\(641\) | 13.3705 | − | 23.1583i | 0.528102 | − | 0.914699i | −0.471361 | − | 0.881940i | \(-0.656237\pi\) |
0.999463 | − | 0.0327590i | \(-0.0104294\pi\) | |||||||
\(642\) | 5.70410 | 0.225123 | ||||||||
\(643\) | −16.4807 | + | 28.5454i | −0.649935 | + | 1.12572i | 0.333203 | + | 0.942855i | \(0.391870\pi\) |
−0.983138 | + | 0.182865i | \(0.941463\pi\) | |||||||
\(644\) | −13.1799 | + | 22.8283i | −0.519362 | + | 0.899562i | ||||
\(645\) | 0.423272 | 0.0166663 | ||||||||
\(646\) | 4.72252 | − | 8.17965i | 0.185805 | − | 0.321824i | ||||
\(647\) | −17.2473 | − | 29.8732i | −0.678060 | − | 1.17443i | −0.975564 | − | 0.219714i | \(-0.929487\pi\) |
0.297504 | − | 0.954721i | \(-0.403846\pi\) | |||||||
\(648\) | −0.846011 | − | 1.46533i | −0.0332344 | − | 0.0575637i | ||||
\(649\) | −77.4529 | −3.04029 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 9.23623 | 0.361996 | ||||||||
\(652\) | −7.77628 | − | 13.4689i | −0.304543 | − | 0.527483i | ||||
\(653\) | −18.0758 | − | 31.3083i | −0.707362 | − | 1.22519i | −0.965832 | − | 0.259167i | \(-0.916552\pi\) |
0.258471 | − | 0.966019i | \(-0.416781\pi\) | |||||||
\(654\) | −2.70291 | + | 4.68157i | −0.105692 | + | 0.183064i | ||||
\(655\) | 0.224144 | 0.00875805 | ||||||||
\(656\) | 0.634375 | − | 1.09877i | 0.0247682 | − | 0.0428997i | ||||
\(657\) | 3.67845 | − | 6.37126i | 0.143510 | − | 0.248566i | ||||
\(658\) | 5.25487 | 0.204856 | ||||||||
\(659\) | 3.40850 | − | 5.90370i | 0.132776 | − | 0.229975i | −0.791969 | − | 0.610561i | \(-0.790944\pi\) |
0.924746 | + | 0.380585i | \(0.124277\pi\) | |||||||
\(660\) | −1.25786 | − | 2.17869i | −0.0489623 | − | 0.0848052i | ||||
\(661\) | −5.44720 | − | 9.43482i | −0.211871 | − | 0.366972i | 0.740429 | − | 0.672135i | \(-0.234622\pi\) |
−0.952300 | + | 0.305163i | \(0.901289\pi\) | |||||||
\(662\) | 2.70065 | 0.104964 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 17.2349 | 0.668844 | ||||||||
\(665\) | −1.20841 | − | 2.09304i | −0.0468603 | − | 0.0811645i | ||||
\(666\) | −0.711636 | − | 1.23259i | −0.0275753 | − | 0.0477619i | ||||
\(667\) | 24.7799 | − | 42.9201i | 0.959483 | − | 1.66187i | ||||
\(668\) | 17.0640 | 0.660225 | ||||||||
\(669\) | 7.10052 | − | 12.2985i | 0.274522 | − | 0.475486i | ||||
\(670\) | −0.327593 | + | 0.567407i | −0.0126560 | + | 0.0219209i | ||||
\(671\) | 48.1377 | 1.85833 | ||||||||
\(672\) | −4.07822 | + | 7.06368i | −0.157321 | + | 0.272488i | ||||
\(673\) | −10.3693 | − | 17.9601i | −0.399706 | − | 0.692311i | 0.593983 | − | 0.804477i | \(-0.297554\pi\) |
−0.993689 | + | 0.112166i | \(0.964221\pi\) | |||||||
\(674\) | 2.69783 | + | 4.67277i | 0.103916 | + | 0.179988i | ||||
\(675\) | −4.93900 | −0.190102 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −25.5786 | −0.983067 | −0.491534 | − | 0.870859i | \(-0.663564\pi\) | ||||
−0.491534 | + | 0.870859i | \(0.663564\pi\) | |||||||
\(678\) | −0.364429 | − | 0.631209i | −0.0139958 | − | 0.0242414i | ||||
\(679\) | 11.9991 | + | 20.7830i | 0.460483 | + | 0.797580i | ||||
\(680\) | 0.794405 | − | 1.37595i | 0.0304640 | − | 0.0527653i | ||||
\(681\) | −16.0073 | −0.613401 | ||||||||
\(682\) | 6.62737 | − | 11.4789i | 0.253775 | − | 0.439552i | ||||
\(683\) | 10.8155 | − | 18.7330i | 0.413844 | − | 0.716799i | −0.581462 | − | 0.813573i | \(-0.697519\pi\) |
0.995306 | + | 0.0967744i | \(0.0308525\pi\) | |||||||
\(684\) | 10.0586 | 0.384600 | ||||||||
\(685\) | −1.17911 | + | 2.04228i | −0.0450516 | + | 0.0780316i | ||||
\(686\) | 4.26241 | + | 7.38272i | 0.162740 | + | 0.281873i | ||||
\(687\) | 0.920583 | + | 1.59450i | 0.0351224 | + | 0.0608339i | ||||
\(688\) | 4.88577 | 0.186268 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −0.917231 | −0.0349184 | ||||||||
\(691\) | 1.31498 | + | 2.27761i | 0.0500242 | + | 0.0866444i | 0.889953 | − | 0.456052i | \(-0.150737\pi\) |
−0.839929 | + | 0.542696i | \(0.817404\pi\) | |||||||
\(692\) | 4.30194 | + | 7.45117i | 0.163535 | + | 0.283251i | ||||
\(693\) | −4.95473 | + | 8.58185i | −0.188215 | + | 0.325997i | ||||
\(694\) | −10.3026 | −0.391081 | ||||||||
\(695\) | 0.505377 | − | 0.875338i | 0.0191700 | − | 0.0332035i | ||||
\(696\) | 5.02446 | − | 8.70262i | 0.190452 | − | 0.329872i | ||||
\(697\) | 1.69202 | 0.0640899 | ||||||||
\(698\) | 4.93900 | − | 8.55460i | 0.186944 | − | 0.323796i | ||||
\(699\) | 11.7126 | + | 20.2868i | 0.443011 | + | 0.767318i | ||||
\(700\) | 7.80074 | + | 13.5113i | 0.294840 | + | 0.510678i | ||||
\(701\) | 40.0925 | 1.51427 | 0.757136 | − | 0.653258i | \(-0.226598\pi\) | ||||
0.757136 | + | 0.653258i | \(0.226598\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 17.8519 | 0.673298 | ||||||||
\(704\) | −10.2627 | − | 17.7755i | −0.386790 | − | 0.669941i | ||||
\(705\) | −0.831773 | − | 1.44067i | −0.0313264 | − | 0.0542589i | ||||
\(706\) | 1.12833 | − | 1.95433i | 0.0424654 | − | 0.0735523i | ||||
\(707\) | 9.48593 | 0.356755 | ||||||||
\(708\) | 12.3448 | − | 21.3818i | 0.463947 | − | 0.803579i | ||||
\(709\) | 11.6048 | − | 20.1002i | 0.435829 | − | 0.754877i | −0.561534 | − | 0.827454i | \(-0.689789\pi\) |
0.997363 | + | 0.0725761i | \(0.0231220\pi\) | |||||||
\(710\) | −0.628630 | −0.0235921 | ||||||||
\(711\) | −2.22737 | + | 3.85791i | −0.0835327 | + | 0.144683i | ||||
\(712\) | 0.115957 | + | 0.200844i | 0.00434567 | + | 0.00752693i | ||||
\(713\) | 21.9834 | + | 38.0763i | 0.823284 | + | 1.42597i | ||||
\(714\) | −2.96615 | −0.111005 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −6.19029 | −0.231342 | ||||||||
\(717\) | 7.30074 | + | 12.6453i | 0.272651 | + | 0.472246i | ||||
\(718\) | 3.71044 | + | 6.42667i | 0.138472 | + | 0.239841i | ||||
\(719\) | 13.0073 | − | 22.5293i | 0.485090 | − | 0.840201i | −0.514763 | − | 0.857333i | \(-0.672120\pi\) |
0.999853 | + | 0.0171315i | \(0.00545340\pi\) | |||||||
\(720\) | 0.704103 | 0.0262404 | ||||||||
\(721\) | 12.0573 | − | 20.8838i | 0.449036 | − | 0.777754i | ||||
\(722\) | 2.70583 | − | 4.68664i | 0.100701 | − | 0.174419i | ||||
\(723\) | −8.63102 | −0.320991 | ||||||||
\(724\) | −12.1506 | + | 21.0455i | −0.451575 | + | 0.782151i | ||||
\(725\) | −14.6664 | − | 25.4029i | −0.544695 | − | 0.943440i | ||||
\(726\) | 4.66272 | + | 8.07607i | 0.173050 | + | 0.299731i | ||||
\(727\) | −16.5472 | −0.613701 | −0.306851 | − | 0.951758i | \(-0.599275\pi\) | ||||
−0.306851 | + | 0.951758i | \(0.599275\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −0.404321 | − | 0.700305i | −0.0149646 | − | 0.0259194i | ||||
\(731\) | 3.25786 | + | 5.64279i | 0.120496 | + | 0.208706i | ||||
\(732\) | −7.67241 | + | 13.2890i | −0.283580 | + | 0.491176i | ||||
\(733\) | −18.8750 | −0.697165 | −0.348582 | − | 0.937278i | \(-0.613337\pi\) | ||||
−0.348582 | + | 0.937278i | \(0.613337\pi\) | |||||||
\(734\) | −0.262414 | + | 0.454514i | −0.00968586 | + | 0.0167764i | ||||
\(735\) | 0.484935 | − | 0.839931i | 0.0178871 | − | 0.0309813i | ||||
\(736\) | −38.8267 | −1.43117 | ||||||||
\(737\) | −16.8475 | + | 29.1807i | −0.620586 | + | 1.07489i | ||||
\(738\) | −0.0990311 | − | 0.171527i | −0.00364539 | − | 0.00631399i | ||||
\(739\) | 23.6619 | + | 40.9837i | 0.870419 | + | 1.50761i | 0.861564 | + | 0.507649i | \(0.169485\pi\) |
0.00885483 | + | 0.999961i | \(0.497181\pi\) | |||||||
\(740\) | 1.42327 | 0.0523205 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.827757 | −0.0303879 | ||||||||
\(743\) | −4.44385 | − | 7.69697i | −0.163029 | − | 0.282374i | 0.772925 | − | 0.634498i | \(-0.218793\pi\) |
−0.935954 | + | 0.352124i | \(0.885460\pi\) | |||||||
\(744\) | 4.45742 | + | 7.72048i | 0.163417 | + | 0.283046i | ||||
\(745\) | −1.90030 | + | 3.29142i | −0.0696218 | + | 0.120588i | ||||
\(746\) | 13.3924 | 0.490331 | ||||||||
\(747\) | −5.09299 | + | 8.82132i | −0.186343 | + | 0.322755i | ||||
\(748\) | 19.3632 | − | 33.5381i | 0.707990 | − | 1.22627i | ||||
\(749\) | 22.4685 | 0.820980 | ||||||||
\(750\) | −0.546229 | + | 0.946096i | −0.0199455 | + | 0.0345466i | ||||
\(751\) | −0.355404 | − | 0.615578i | −0.0129689 | − | 0.0224627i | 0.859468 | − | 0.511189i | \(-0.170795\pi\) |
−0.872437 | + | 0.488727i | \(0.837462\pi\) | |||||||
\(752\) | −9.60106 | − | 16.6295i | −0.350114 | − | 0.606416i | ||||
\(753\) | −3.80194 | −0.138550 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0.907542 | 0.0330288 | ||||||||
\(756\) | −1.57942 | − | 2.73563i | −0.0574428 | − | 0.0994939i | ||||
\(757\) | −4.89277 | − | 8.47453i | −0.177831 | − | 0.308012i | 0.763306 | − | 0.646037i | \(-0.223575\pi\) |
−0.941137 | + | 0.338025i | \(0.890241\pi\) | |||||||
\(758\) | 4.26420 | − | 7.38581i | 0.154883 | − | 0.268265i | ||||
\(759\) | −47.1715 | −1.71222 | ||||||||
\(760\) | 1.16637 | − | 2.02021i | 0.0423086 | − | 0.0732806i | ||||
\(761\) | −9.44049 | + | 16.3514i | −0.342218 | + | 0.592738i | −0.984844 | − | 0.173441i | \(-0.944511\pi\) |
0.642627 | + | 0.766180i | \(0.277845\pi\) | |||||||
\(762\) | −4.80625 | −0.174112 | ||||||||
\(763\) | −10.6468 | + | 18.4407i | −0.385438 | + | 0.667599i | ||||
\(764\) | −1.17241 | − | 2.03067i | −0.0424162 | − | 0.0734670i | ||||
\(765\) | 0.469501 | + | 0.813199i | 0.0169748 | + | 0.0294013i | ||||
\(766\) | −6.84846 | −0.247445 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 2.40150 | 0.0866567 | ||||||||
\(769\) | −6.21744 | − | 10.7689i | −0.224207 | − | 0.388337i | 0.731875 | − | 0.681439i | \(-0.238646\pi\) |
−0.956081 | + | 0.293102i | \(0.905312\pi\) | |||||||
\(770\) | 0.544605 | + | 0.943284i | 0.0196262 | + | 0.0339936i | ||||
\(771\) | 10.2981 | − | 17.8368i | 0.370875 | − | 0.642375i | ||||
\(772\) | −16.5700 | −0.596368 | ||||||||
\(773\) | 22.8373 | − | 39.5553i | 0.821400 | − | 1.42271i | −0.0832399 | − | 0.996530i | \(-0.526527\pi\) |
0.904640 | − | 0.426177i | \(-0.140140\pi\) | |||||||
\(774\) | 0.381355 | − | 0.660525i | 0.0137075 | − | 0.0237421i | ||||
\(775\) | 26.0224 | 0.934751 | ||||||||
\(776\) | −11.5816 | + | 20.0599i | −0.415754 | + | 0.720107i | ||||
\(777\) | −2.80313 | − | 4.85517i | −0.100562 | − | 0.174178i |