Newspace parameters
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.i (of order \(4\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 323.12 | ||
Character | \(\chi\) | \(=\) | 690.323 |
Dual form | 690.2.i.f.47.12 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | + | 0.707107i | 0.500000 | + | 0.500000i | ||||
\(3\) | 0.396187 | − | 1.68613i | 0.228739 | − | 0.973488i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | −2.10894 | − | 0.743206i | −0.943148 | − | 0.332372i | ||||
\(6\) | 1.47242 | − | 0.912127i | 0.601113 | − | 0.372374i | ||||
\(7\) | −2.17056 | + | 2.17056i | −0.820393 | + | 0.820393i | −0.986164 | − | 0.165771i | \(-0.946989\pi\) |
0.165771 | + | 0.986164i | \(0.446989\pi\) | |||||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −2.68607 | − | 1.33605i | −0.895357 | − | 0.445349i | ||||
\(10\) | −0.965722 | − | 2.01677i | −0.305388 | − | 0.637760i | ||||
\(11\) | 5.22806i | 1.57632i | 0.615472 | + | 0.788159i | \(0.288966\pi\) | ||||
−0.615472 | + | 0.788159i | \(0.711034\pi\) | |||||||
\(12\) | 1.68613 | + | 0.396187i | 0.486744 | + | 0.114369i | ||||
\(13\) | 2.60057 | + | 2.60057i | 0.721268 | + | 0.721268i | 0.968863 | − | 0.247596i | \(-0.0796405\pi\) |
−0.247596 | + | 0.968863i | \(0.579641\pi\) | |||||||
\(14\) | −3.06963 | −0.820393 | ||||||||
\(15\) | −2.08868 | + | 3.26151i | −0.539295 | + | 0.842117i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −0.444150 | − | 0.444150i | −0.107722 | − | 0.107722i | 0.651191 | − | 0.758914i | \(-0.274270\pi\) |
−0.758914 | + | 0.651191i | \(0.774270\pi\) | |||||||
\(18\) | −0.954611 | − | 2.84407i | −0.225004 | − | 0.670353i | ||||
\(19\) | 2.97966i | 0.683580i | 0.939776 | + | 0.341790i | \(0.111033\pi\) | ||||
−0.939776 | + | 0.341790i | \(0.888967\pi\) | |||||||
\(20\) | 0.743206 | − | 2.10894i | 0.166186 | − | 0.471574i | ||||
\(21\) | 2.79989 | + | 4.51979i | 0.610987 | + | 0.986298i | ||||
\(22\) | −3.69679 | + | 3.69679i | −0.788159 | + | 0.788159i | ||||
\(23\) | 0.707107 | − | 0.707107i | 0.147442 | − | 0.147442i | ||||
\(24\) | 0.912127 | + | 1.47242i | 0.186187 | + | 0.300557i | ||||
\(25\) | 3.89529 | + | 3.13476i | 0.779058 | + | 0.626952i | ||||
\(26\) | 3.67776i | 0.721268i | ||||||||
\(27\) | −3.31694 | + | 3.99974i | −0.638345 | + | 0.769751i | ||||
\(28\) | −2.17056 | − | 2.17056i | −0.410196 | − | 0.410196i | ||||
\(29\) | −1.70734 | −0.317044 | −0.158522 | − | 0.987355i | \(-0.550673\pi\) | ||||
−0.158522 | + | 0.987355i | \(0.550673\pi\) | |||||||
\(30\) | −3.78315 | + | 0.829313i | −0.690706 | + | 0.151411i | ||||
\(31\) | −5.25582 | −0.943974 | −0.471987 | − | 0.881606i | \(-0.656463\pi\) | ||||
−0.471987 | + | 0.881606i | \(0.656463\pi\) | |||||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | 8.81518 | + | 2.07129i | 1.53453 | + | 0.360565i | ||||
\(34\) | − | 0.628123i | − | 0.107722i | ||||||
\(35\) | 6.19075 | − | 2.96441i | 1.04643 | − | 0.501077i | ||||
\(36\) | 1.33605 | − | 2.68607i | 0.222674 | − | 0.447679i | ||||
\(37\) | −2.75535 | + | 2.75535i | −0.452977 | + | 0.452977i | −0.896341 | − | 0.443365i | \(-0.853785\pi\) |
0.443365 | + | 0.896341i | \(0.353785\pi\) | |||||||
\(38\) | −2.10693 | + | 2.10693i | −0.341790 | + | 0.341790i | ||||
\(39\) | 5.41521 | − | 3.35458i | 0.867127 | − | 0.537163i | ||||
\(40\) | 2.01677 | − | 0.965722i | 0.318880 | − | 0.152694i | ||||
\(41\) | − | 6.96597i | − | 1.08790i | −0.839117 | − | 0.543951i | \(-0.816928\pi\) | ||
0.839117 | − | 0.543951i | \(-0.183072\pi\) | |||||||
\(42\) | −1.21615 | + | 5.17579i | −0.187656 | + | 0.798642i | ||||
\(43\) | 7.32093 | + | 7.32093i | 1.11643 | + | 1.11643i | 0.992261 | + | 0.124170i | \(0.0396268\pi\) |
0.124170 | + | 0.992261i | \(0.460373\pi\) | |||||||
\(44\) | −5.22806 | −0.788159 | ||||||||
\(45\) | 4.67181 | + | 4.81395i | 0.696433 | + | 0.717622i | ||||
\(46\) | 1.00000 | 0.147442 | ||||||||
\(47\) | −6.05572 | − | 6.05572i | −0.883318 | − | 0.883318i | 0.110553 | − | 0.993870i | \(-0.464738\pi\) |
−0.993870 | + | 0.110553i | \(0.964738\pi\) | |||||||
\(48\) | −0.396187 | + | 1.68613i | −0.0571847 | + | 0.243372i | ||||
\(49\) | − | 2.42262i | − | 0.346089i | ||||||
\(50\) | 0.537774 | + | 4.97100i | 0.0760527 | + | 0.703005i | ||||
\(51\) | −0.924861 | + | 0.572928i | −0.129506 | + | 0.0802260i | ||||
\(52\) | −2.60057 | + | 2.60057i | −0.360634 | + | 0.360634i | ||||
\(53\) | −0.302305 | + | 0.302305i | −0.0415247 | + | 0.0415247i | −0.727564 | − | 0.686040i | \(-0.759348\pi\) |
0.686040 | + | 0.727564i | \(0.259348\pi\) | |||||||
\(54\) | −5.17367 | + | 0.482816i | −0.704048 | + | 0.0657029i | ||||
\(55\) | 3.88553 | − | 11.0257i | 0.523924 | − | 1.48670i | ||||
\(56\) | − | 3.06963i | − | 0.410196i | ||||||
\(57\) | 5.02409 | + | 1.18050i | 0.665457 | + | 0.156361i | ||||
\(58\) | −1.20727 | − | 1.20727i | −0.158522 | − | 0.158522i | ||||
\(59\) | −11.1739 | −1.45472 | −0.727359 | − | 0.686257i | \(-0.759253\pi\) | ||||
−0.727359 | + | 0.686257i | \(0.759253\pi\) | |||||||
\(60\) | −3.26151 | − | 2.08868i | −0.421059 | − | 0.269647i | ||||
\(61\) | −1.40994 | −0.180525 | −0.0902625 | − | 0.995918i | \(-0.528771\pi\) | ||||
−0.0902625 | + | 0.995918i | \(0.528771\pi\) | |||||||
\(62\) | −3.71643 | − | 3.71643i | −0.471987 | − | 0.471987i | ||||
\(63\) | 8.73023 | − | 2.93030i | 1.09991 | − | 0.369183i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −3.55169 | − | 7.41721i | −0.440533 | − | 0.919991i | ||||
\(66\) | 4.76865 | + | 7.69790i | 0.586981 | + | 0.947546i | ||||
\(67\) | 3.64409 | − | 3.64409i | 0.445196 | − | 0.445196i | −0.448558 | − | 0.893754i | \(-0.648062\pi\) |
0.893754 | + | 0.448558i | \(0.148062\pi\) | |||||||
\(68\) | 0.444150 | − | 0.444150i | 0.0538611 | − | 0.0538611i | ||||
\(69\) | −0.912127 | − | 1.47242i | −0.109807 | − | 0.177259i | ||||
\(70\) | 6.47368 | + | 2.28137i | 0.773752 | + | 0.272676i | ||||
\(71\) | 4.61412i | 0.547596i | 0.961787 | + | 0.273798i | \(0.0882799\pi\) | ||||
−0.961787 | + | 0.273798i | \(0.911720\pi\) | |||||||
\(72\) | 2.84407 | − | 0.954611i | 0.335177 | − | 0.112502i | ||||
\(73\) | 0.698447 | + | 0.698447i | 0.0817471 | + | 0.0817471i | 0.746798 | − | 0.665051i | \(-0.231590\pi\) |
−0.665051 | + | 0.746798i | \(0.731590\pi\) | |||||||
\(74\) | −3.89665 | −0.452977 | ||||||||
\(75\) | 6.82888 | − | 5.32601i | 0.788531 | − | 0.614995i | ||||
\(76\) | −2.97966 | −0.341790 | ||||||||
\(77\) | −11.3478 | − | 11.3478i | −1.29320 | − | 1.29320i | ||||
\(78\) | 6.20118 | + | 1.45708i | 0.702145 | + | 0.164982i | ||||
\(79\) | 11.7332i | 1.32009i | 0.751225 | + | 0.660046i | \(0.229463\pi\) | ||||
−0.751225 | + | 0.660046i | \(0.770537\pi\) | |||||||
\(80\) | 2.10894 | + | 0.743206i | 0.235787 | + | 0.0830930i | ||||
\(81\) | 5.42996 | + | 7.17743i | 0.603329 | + | 0.797493i | ||||
\(82\) | 4.92569 | − | 4.92569i | 0.543951 | − | 0.543951i | ||||
\(83\) | 9.38271 | − | 9.38271i | 1.02989 | − | 1.02989i | 0.0303467 | − | 0.999539i | \(-0.490339\pi\) |
0.999539 | − | 0.0303467i | \(-0.00966113\pi\) | |||||||
\(84\) | −4.51979 | + | 2.79989i | −0.493149 | + | 0.305493i | ||||
\(85\) | 0.606592 | + | 1.26678i | 0.0657942 | + | 0.137402i | ||||
\(86\) | 10.3534i | 1.11643i | ||||||||
\(87\) | −0.676425 | + | 2.87879i | −0.0725204 | + | 0.308639i | ||||
\(88\) | −3.69679 | − | 3.69679i | −0.394080 | − | 0.394080i | ||||
\(89\) | −3.53601 | −0.374816 | −0.187408 | − | 0.982282i | \(-0.560009\pi\) | ||||
−0.187408 | + | 0.982282i | \(0.560009\pi\) | |||||||
\(90\) | −0.100507 | + | 6.70745i | −0.0105944 | + | 0.707027i | ||||
\(91\) | −11.2894 | −1.18345 | ||||||||
\(92\) | 0.707107 | + | 0.707107i | 0.0737210 | + | 0.0737210i | ||||
\(93\) | −2.08229 | + | 8.86201i | −0.215924 | + | 0.918947i | ||||
\(94\) | − | 8.56408i | − | 0.883318i | ||||||
\(95\) | 2.21450 | − | 6.28393i | 0.227203 | − | 0.644717i | ||||
\(96\) | −1.47242 | + | 0.912127i | −0.150278 | + | 0.0930936i | ||||
\(97\) | −13.1840 | + | 13.1840i | −1.33863 | + | 1.33863i | −0.441237 | + | 0.897391i | \(0.645460\pi\) |
−0.897391 | + | 0.441237i | \(0.854540\pi\) | |||||||
\(98\) | 1.71305 | − | 1.71305i | 0.173044 | − | 0.173044i | ||||
\(99\) | 6.98493 | − | 14.0429i | 0.702012 | − | 1.41137i | ||||
\(100\) | −3.13476 | + | 3.89529i | −0.313476 | + | 0.389529i | ||||
\(101\) | − | 10.8801i | − | 1.08261i | −0.840825 | − | 0.541306i | \(-0.817930\pi\) | ||
0.840825 | − | 0.541306i | \(-0.182070\pi\) | |||||||
\(102\) | −1.05910 | − | 0.248854i | −0.104866 | − | 0.0246402i | ||||
\(103\) | −2.54969 | − | 2.54969i | −0.251228 | − | 0.251228i | 0.570246 | − | 0.821474i | \(-0.306848\pi\) |
−0.821474 | + | 0.570246i | \(0.806848\pi\) | |||||||
\(104\) | −3.67776 | −0.360634 | ||||||||
\(105\) | −2.54568 | − | 11.6129i | −0.248433 | − | 1.13330i | ||||
\(106\) | −0.427523 | −0.0415247 | ||||||||
\(107\) | 9.52639 | + | 9.52639i | 0.920950 | + | 0.920950i | 0.997097 | − | 0.0761462i | \(-0.0242616\pi\) |
−0.0761462 | + | 0.997097i | \(0.524262\pi\) | |||||||
\(108\) | −3.99974 | − | 3.31694i | −0.384875 | − | 0.319172i | ||||
\(109\) | − | 8.20451i | − | 0.785849i | −0.919571 | − | 0.392925i | \(-0.871463\pi\) | ||
0.919571 | − | 0.392925i | \(-0.128537\pi\) | |||||||
\(110\) | 10.5438 | − | 5.04885i | 1.00531 | − | 0.481389i | ||||
\(111\) | 3.55425 | + | 5.73752i | 0.337354 | + | 0.544581i | ||||
\(112\) | 2.17056 | − | 2.17056i | 0.205098 | − | 0.205098i | ||||
\(113\) | 0.453030 | − | 0.453030i | 0.0426174 | − | 0.0426174i | −0.685477 | − | 0.728094i | \(-0.740406\pi\) |
0.728094 | + | 0.685477i | \(0.240406\pi\) | |||||||
\(114\) | 2.71783 | + | 4.38731i | 0.254548 | + | 0.410909i | ||||
\(115\) | −2.01677 | + | 0.965722i | −0.188065 | + | 0.0900541i | ||||
\(116\) | − | 1.70734i | − | 0.158522i | ||||||
\(117\) | −3.51083 | − | 10.4598i | −0.324576 | − | 0.967008i | ||||
\(118\) | −7.90115 | − | 7.90115i | −0.727359 | − | 0.727359i | ||||
\(119\) | 1.92810 | 0.176749 | ||||||||
\(120\) | −0.829313 | − | 3.78315i | −0.0757056 | − | 0.345353i | ||||
\(121\) | −16.3326 | −1.48478 | ||||||||
\(122\) | −0.996981 | − | 0.996981i | −0.0902625 | − | 0.0902625i | ||||
\(123\) | −11.7455 | − | 2.75983i | −1.05906 | − | 0.248845i | ||||
\(124\) | − | 5.25582i | − | 0.471987i | ||||||
\(125\) | −5.88517 | − | 9.50604i | −0.526386 | − | 0.850246i | ||||
\(126\) | 8.24524 | + | 4.10117i | 0.734545 | + | 0.365361i | ||||
\(127\) | 13.0705 | − | 13.0705i | 1.15982 | − | 1.15982i | 0.175307 | − | 0.984514i | \(-0.443908\pi\) |
0.984514 | − | 0.175307i | \(-0.0560919\pi\) | |||||||
\(128\) | 0.707107 | − | 0.707107i | 0.0625000 | − | 0.0625000i | ||||
\(129\) | 15.2445 | − | 9.44358i | 1.34220 | − | 0.831461i | ||||
\(130\) | 2.73333 | − | 7.75618i | 0.239729 | − | 0.680262i | ||||
\(131\) | 3.19088i | 0.278788i | 0.990237 | + | 0.139394i | \(0.0445155\pi\) | ||||
−0.990237 | + | 0.139394i | \(0.955484\pi\) | |||||||
\(132\) | −2.07129 | + | 8.81518i | −0.180283 | + | 0.767263i | ||||
\(133\) | −6.46751 | − | 6.46751i | −0.560804 | − | 0.560804i | ||||
\(134\) | 5.15352 | 0.445196 | ||||||||
\(135\) | 9.96787 | − | 5.97006i | 0.857897 | − | 0.513821i | ||||
\(136\) | 0.628123 | 0.0538611 | ||||||||
\(137\) | 12.8044 | + | 12.8044i | 1.09396 | + | 1.09396i | 0.995102 | + | 0.0988556i | \(0.0315182\pi\) |
0.0988556 | + | 0.995102i | \(0.468482\pi\) | |||||||
\(138\) | 0.396187 | − | 1.68613i | 0.0337257 | − | 0.143533i | ||||
\(139\) | 11.9592i | 1.01437i | 0.861839 | + | 0.507183i | \(0.169313\pi\) | ||||
−0.861839 | + | 0.507183i | \(0.830687\pi\) | |||||||
\(140\) | 2.96441 | + | 6.19075i | 0.250538 | + | 0.523214i | ||||
\(141\) | −12.6099 | + | 7.81153i | −1.06195 | + | 0.657850i | ||||
\(142\) | −3.26268 | + | 3.26268i | −0.273798 | + | 0.273798i | ||||
\(143\) | −13.5959 | + | 13.5959i | −1.13695 | + | 1.13695i | ||||
\(144\) | 2.68607 | + | 1.33605i | 0.223839 | + | 0.111337i | ||||
\(145\) | 3.60068 | + | 1.26890i | 0.299020 | + | 0.105377i | ||||
\(146\) | 0.987754i | 0.0817471i | ||||||||
\(147\) | −4.08486 | − | 0.959812i | −0.336913 | − | 0.0791640i | ||||
\(148\) | −2.75535 | − | 2.75535i | −0.226488 | − | 0.226488i | ||||
\(149\) | −17.1561 | −1.40548 | −0.702740 | − | 0.711447i | \(-0.748040\pi\) | ||||
−0.702740 | + | 0.711447i | \(0.748040\pi\) | |||||||
\(150\) | 8.59481 | + | 1.06269i | 0.701763 | + | 0.0867682i | ||||
\(151\) | 16.9726 | 1.38121 | 0.690603 | − | 0.723234i | \(-0.257345\pi\) | ||||
0.690603 | + | 0.723234i | \(0.257345\pi\) | |||||||
\(152\) | −2.10693 | − | 2.10693i | −0.170895 | − | 0.170895i | ||||
\(153\) | 0.599613 | + | 1.78642i | 0.0484759 | + | 0.144424i | ||||
\(154\) | − | 16.0482i | − | 1.29320i | ||||||
\(155\) | 11.0842 | + | 3.90616i | 0.890308 | + | 0.313751i | ||||
\(156\) | 3.35458 | + | 5.41521i | 0.268582 | + | 0.433564i | ||||
\(157\) | 11.7841 | − | 11.7841i | 0.940473 | − | 0.940473i | −0.0578517 | − | 0.998325i | \(-0.518425\pi\) |
0.998325 | + | 0.0578517i | \(0.0184251\pi\) | |||||||
\(158\) | −8.29665 | + | 8.29665i | −0.660046 | + | 0.660046i | ||||
\(159\) | 0.389956 | + | 0.629494i | 0.0309255 | + | 0.0499221i | ||||
\(160\) | 0.965722 | + | 2.01677i | 0.0763470 | + | 0.159440i | ||||
\(161\) | 3.06963i | 0.241921i | ||||||||
\(162\) | −1.23565 | + | 8.91477i | −0.0970821 | + | 0.700411i | ||||
\(163\) | 3.78878 | + | 3.78878i | 0.296760 | + | 0.296760i | 0.839743 | − | 0.542983i | \(-0.182705\pi\) |
−0.542983 | + | 0.839743i | \(0.682705\pi\) | |||||||
\(164\) | 6.96597 | 0.543951 | ||||||||
\(165\) | −17.0513 | − | 10.9197i | −1.32744 | − | 0.850100i | ||||
\(166\) | 13.2692 | 1.02989 | ||||||||
\(167\) | 11.5545 | + | 11.5545i | 0.894117 | + | 0.894117i | 0.994908 | − | 0.100791i | \(-0.0321372\pi\) |
−0.100791 | + | 0.994908i | \(0.532137\pi\) | |||||||
\(168\) | −5.17579 | − | 1.21615i | −0.399321 | − | 0.0938279i | ||||
\(169\) | 0.525898i | 0.0404537i | ||||||||
\(170\) | −0.466825 | + | 1.32468i | −0.0358038 | + | 0.101598i | ||||
\(171\) | 3.98096 | − | 8.00357i | 0.304432 | − | 0.612048i | ||||
\(172\) | −7.32093 | + | 7.32093i | −0.558215 | + | 0.558215i | ||||
\(173\) | 6.59928 | − | 6.59928i | 0.501734 | − | 0.501734i | −0.410242 | − | 0.911977i | \(-0.634556\pi\) |
0.911977 | + | 0.410242i | \(0.134556\pi\) | |||||||
\(174\) | −2.51392 | + | 1.55731i | −0.190580 | + | 0.118059i | ||||
\(175\) | −15.2591 | + | 1.65077i | −1.15348 | + | 0.124786i | ||||
\(176\) | − | 5.22806i | − | 0.394080i | ||||||
\(177\) | −4.42696 | + | 18.8407i | −0.332751 | + | 1.41615i | ||||
\(178\) | −2.50034 | − | 2.50034i | −0.187408 | − | 0.187408i | ||||
\(179\) | 18.4232 | 1.37702 | 0.688508 | − | 0.725229i | \(-0.258266\pi\) | ||||
0.688508 | + | 0.725229i | \(0.258266\pi\) | |||||||
\(180\) | −4.81395 | + | 4.67181i | −0.358811 | + | 0.348217i | ||||
\(181\) | 4.84965 | 0.360472 | 0.180236 | − | 0.983623i | \(-0.442314\pi\) | ||||
0.180236 | + | 0.983623i | \(0.442314\pi\) | |||||||
\(182\) | −7.98278 | − | 7.98278i | −0.591723 | − | 0.591723i | ||||
\(183\) | −0.558602 | + | 2.37735i | −0.0412931 | + | 0.175739i | ||||
\(184\) | 1.00000i | 0.0737210i | ||||||||
\(185\) | 7.85867 | − | 3.76309i | 0.577781 | − | 0.276668i | ||||
\(186\) | −7.73879 | + | 4.79398i | −0.567435 | + | 0.351512i | ||||
\(187\) | 2.32204 | − | 2.32204i | 0.169804 | − | 0.169804i | ||||
\(188\) | 6.05572 | − | 6.05572i | 0.441659 | − | 0.441659i | ||||
\(189\) | −1.48207 | − | 15.8813i | −0.107804 | − | 1.15519i | ||||
\(190\) | 6.00929 | − | 2.87752i | 0.435960 | − | 0.208757i | ||||
\(191\) | − | 3.19418i | − | 0.231123i | −0.993300 | − | 0.115561i | \(-0.963133\pi\) | ||
0.993300 | − | 0.115561i | \(-0.0368667\pi\) | |||||||
\(192\) | −1.68613 | − | 0.396187i | −0.121686 | − | 0.0285924i | ||||
\(193\) | −1.55053 | − | 1.55053i | −0.111610 | − | 0.111610i | 0.649096 | − | 0.760706i | \(-0.275147\pi\) |
−0.760706 | + | 0.649096i | \(0.775147\pi\) | |||||||
\(194\) | −18.6449 | −1.33863 | ||||||||
\(195\) | −13.9135 | + | 3.05001i | −0.996368 | + | 0.218416i | ||||
\(196\) | 2.42262 | 0.173044 | ||||||||
\(197\) | 16.0842 | + | 16.0842i | 1.14595 | + | 1.14595i | 0.987341 | + | 0.158614i | \(0.0507025\pi\) |
0.158614 | + | 0.987341i | \(0.449298\pi\) | |||||||
\(198\) | 14.8689 | − | 4.99076i | 1.05669 | − | 0.354678i | ||||
\(199\) | 8.97499i | 0.636220i | 0.948054 | + | 0.318110i | \(0.103048\pi\) | ||||
−0.948054 | + | 0.318110i | \(0.896952\pi\) | |||||||
\(200\) | −4.97100 | + | 0.537774i | −0.351502 | + | 0.0380263i | ||||
\(201\) | −4.70067 | − | 7.58815i | −0.331559 | − | 0.535227i | ||||
\(202\) | 7.69341 | − | 7.69341i | 0.541306 | − | 0.541306i | ||||
\(203\) | 3.70587 | − | 3.70587i | 0.260101 | − | 0.260101i | ||||
\(204\) | −0.572928 | − | 0.924861i | −0.0401130 | − | 0.0647532i | ||||
\(205\) | −5.17715 | + | 14.6908i | −0.361588 | + | 1.02605i | ||||
\(206\) | − | 3.60580i | − | 0.251228i | ||||||
\(207\) | −2.84407 | + | 0.954611i | −0.197676 | + | 0.0663501i | ||||
\(208\) | −2.60057 | − | 2.60057i | −0.180317 | − | 0.180317i | ||||
\(209\) | −15.5778 | −1.07754 | ||||||||
\(210\) | 6.41147 | − | 10.0116i | 0.442434 | − | 0.690867i | ||||
\(211\) | −0.301249 | −0.0207388 | −0.0103694 | − | 0.999946i | \(-0.503301\pi\) | ||||
−0.0103694 | + | 0.999946i | \(0.503301\pi\) | |||||||
\(212\) | −0.302305 | − | 0.302305i | −0.0207624 | − | 0.0207624i | ||||
\(213\) | 7.78001 | + | 1.82806i | 0.533078 | + | 0.125256i | ||||
\(214\) | 13.4723i | 0.920950i | ||||||||
\(215\) | −9.99846 | − | 20.8804i | −0.681890 | − | 1.42403i | ||||
\(216\) | −0.482816 | − | 5.17367i | −0.0328515 | − | 0.352024i | ||||
\(217\) | 11.4081 | − | 11.4081i | 0.774430 | − | 0.774430i | ||||
\(218\) | 5.80146 | − | 5.80146i | 0.392925 | − | 0.392925i | ||||
\(219\) | 1.45439 | − | 0.900957i | 0.0982785 | − | 0.0608810i | ||||
\(220\) | 11.0257 | + | 3.88553i | 0.743351 | + | 0.261962i | ||||
\(221\) | − | 2.31008i | − | 0.155393i | ||||||
\(222\) | −1.54381 | + | 6.57027i | −0.103613 | + | 0.440967i | ||||
\(223\) | 12.8348 | + | 12.8348i | 0.859480 | + | 0.859480i | 0.991277 | − | 0.131797i | \(-0.0420745\pi\) |
−0.131797 | + | 0.991277i | \(0.542075\pi\) | |||||||
\(224\) | 3.06963 | 0.205098 | ||||||||
\(225\) | −6.27483 | − | 13.6245i | −0.418322 | − | 0.908299i | ||||
\(226\) | 0.640680 | 0.0426174 | ||||||||
\(227\) | 9.96258 | + | 9.96258i | 0.661239 | + | 0.661239i | 0.955672 | − | 0.294433i | \(-0.0951307\pi\) |
−0.294433 | + | 0.955672i | \(0.595131\pi\) | |||||||
\(228\) | −1.18050 | + | 5.02409i | −0.0781806 | + | 0.332728i | ||||
\(229\) | − | 17.6169i | − | 1.16416i | −0.813133 | − | 0.582079i | \(-0.802240\pi\) | ||
0.813133 | − | 0.582079i | \(-0.197760\pi\) | |||||||
\(230\) | −2.10894 | − | 0.743206i | −0.139060 | − | 0.0490056i | ||||
\(231\) | −23.6297 | + | 14.6380i | −1.55472 | + | 0.963110i | ||||
\(232\) | 1.20727 | − | 1.20727i | 0.0792611 | − | 0.0792611i | ||||
\(233\) | −1.50132 | + | 1.50132i | −0.0983549 | + | 0.0983549i | −0.754572 | − | 0.656217i | \(-0.772156\pi\) |
0.656217 | + | 0.754572i | \(0.272156\pi\) | |||||||
\(234\) | 4.91366 | − | 9.87872i | 0.321216 | − | 0.645792i | ||||
\(235\) | 8.27052 | + | 17.2718i | 0.539509 | + | 1.12669i | ||||
\(236\) | − | 11.1739i | − | 0.727359i | ||||||
\(237\) | 19.7838 | + | 4.64856i | 1.28509 | + | 0.301956i | ||||
\(238\) | 1.36338 | + | 1.36338i | 0.0883745 | + | 0.0883745i | ||||
\(239\) | −24.3097 | −1.57246 | −0.786232 | − | 0.617932i | \(-0.787971\pi\) | ||||
−0.786232 | + | 0.617932i | \(0.787971\pi\) | |||||||
\(240\) | 2.08868 | − | 3.26151i | 0.134824 | − | 0.210529i | ||||
\(241\) | 23.8969 | 1.53933 | 0.769667 | − | 0.638445i | \(-0.220422\pi\) | ||||
0.769667 | + | 0.638445i | \(0.220422\pi\) | |||||||
\(242\) | −11.5489 | − | 11.5489i | −0.742390 | − | 0.742390i | ||||
\(243\) | 14.2534 | − | 6.31201i | 0.914354 | − | 0.404915i | ||||
\(244\) | − | 1.40994i | − | 0.0902625i | ||||||
\(245\) | −1.80051 | + | 5.10918i | −0.115030 | + | 0.326413i | ||||
\(246\) | −6.35385 | − | 10.2568i | −0.405107 | − | 0.653952i | ||||
\(247\) | −7.74879 | + | 7.74879i | −0.493044 | + | 0.493044i | ||||
\(248\) | 3.71643 | − | 3.71643i | 0.235993 | − | 0.235993i | ||||
\(249\) | −12.1032 | − | 19.5378i | −0.767007 | − | 1.23816i | ||||
\(250\) | 2.56034 | − | 10.8832i | 0.161930 | − | 0.688316i | ||||
\(251\) | − | 22.5045i | − | 1.42047i | −0.703965 | − | 0.710234i | \(-0.748589\pi\) | ||
0.703965 | − | 0.710234i | \(-0.251411\pi\) | |||||||
\(252\) | 2.93030 | + | 8.73023i | 0.184592 | + | 0.549953i | ||||
\(253\) | 3.69679 | + | 3.69679i | 0.232415 | + | 0.232415i | ||||
\(254\) | 18.4845 | 1.15982 | ||||||||
\(255\) | 2.37628 | − | 0.520910i | 0.148809 | − | 0.0326207i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 17.0064 | + | 17.0064i | 1.06083 | + | 1.06083i | 0.998026 | + | 0.0628062i | \(0.0200050\pi\) |
0.0628062 | + | 0.998026i | \(0.479995\pi\) | |||||||
\(258\) | 17.4571 | + | 4.10187i | 1.08683 | + | 0.255371i | ||||
\(259\) | − | 11.9613i | − | 0.743238i | ||||||
\(260\) | 7.41721 | − | 3.55169i | 0.459996 | − | 0.220267i | ||||
\(261\) | 4.58603 | + | 2.28108i | 0.283868 | + | 0.141195i | ||||
\(262\) | −2.25629 | + | 2.25629i | −0.139394 | + | 0.139394i | ||||
\(263\) | −17.9233 | + | 17.9233i | −1.10520 | + | 1.10520i | −0.111428 | + | 0.993773i | \(0.535542\pi\) |
−0.993773 | + | 0.111428i | \(0.964458\pi\) | |||||||
\(264\) | −7.69790 | + | 4.76865i | −0.473773 | + | 0.293490i | ||||
\(265\) | 0.862218 | − | 0.412869i | 0.0529656 | − | 0.0253623i | ||||
\(266\) | − | 9.14644i | − | 0.560804i | ||||||
\(267\) | −1.40092 | + | 5.96217i | −0.0857350 | + | 0.364879i | ||||
\(268\) | 3.64409 | + | 3.64409i | 0.222598 | + | 0.222598i | ||||
\(269\) | −17.9945 | −1.09714 | −0.548571 | − | 0.836104i | \(-0.684828\pi\) | ||||
−0.548571 | + | 0.836104i | \(0.684828\pi\) | |||||||
\(270\) | 11.2698 | + | 2.82688i | 0.685859 | + | 0.172038i | ||||
\(271\) | −14.0280 | −0.852139 | −0.426070 | − | 0.904690i | \(-0.640102\pi\) | ||||
−0.426070 | + | 0.904690i | \(0.640102\pi\) | |||||||
\(272\) | 0.444150 | + | 0.444150i | 0.0269305 | + | 0.0269305i | ||||
\(273\) | −4.47270 | + | 19.0353i | −0.270700 | + | 1.15207i | ||||
\(274\) | 18.1082i | 1.09396i | ||||||||
\(275\) | −16.3887 | + | 20.3648i | −0.988276 | + | 1.22804i | ||||
\(276\) | 1.47242 | − | 0.912127i | 0.0886293 | − | 0.0549036i | ||||
\(277\) | −0.994150 | + | 0.994150i | −0.0597327 | + | 0.0597327i | −0.736342 | − | 0.676609i | \(-0.763449\pi\) |
0.676609 | + | 0.736342i | \(0.263449\pi\) | |||||||
\(278\) | −8.45642 | + | 8.45642i | −0.507183 | + | 0.507183i | ||||
\(279\) | 14.1175 | + | 7.02203i | 0.845194 | + | 0.420398i | ||||
\(280\) | −2.28137 | + | 6.47368i | −0.136338 | + | 0.386876i | ||||
\(281\) | 15.9968i | 0.954291i | 0.878824 | + | 0.477145i | \(0.158328\pi\) | ||||
−0.878824 | + | 0.477145i | \(0.841672\pi\) | |||||||
\(282\) | −14.4402 | − | 3.39298i | −0.859899 | − | 0.202049i | ||||
\(283\) | 21.3172 | + | 21.3172i | 1.26718 | + | 1.26718i | 0.947540 | + | 0.319636i | \(0.103561\pi\) |
0.319636 | + | 0.947540i | \(0.396439\pi\) | |||||||
\(284\) | −4.61412 | −0.273798 | ||||||||
\(285\) | −9.71816 | − | 6.22355i | −0.575654 | − | 0.368651i | ||||
\(286\) | −19.2275 | −1.13695 | ||||||||
\(287\) | 15.1200 | + | 15.1200i | 0.892507 | + | 0.892507i | ||||
\(288\) | 0.954611 | + | 2.84407i | 0.0562510 | + | 0.167588i | ||||
\(289\) | − | 16.6055i | − | 0.976792i | ||||||
\(290\) | 1.64881 | + | 3.44331i | 0.0968216 | + | 0.202198i | ||||
\(291\) | 17.0065 | + | 27.4532i | 0.996941 | + | 1.60933i | ||||
\(292\) | −0.698447 | + | 0.698447i | −0.0408735 | + | 0.0408735i | ||||
\(293\) | 4.08472 | − | 4.08472i | 0.238632 | − | 0.238632i | −0.577651 | − | 0.816284i | \(-0.696031\pi\) |
0.816284 | + | 0.577651i | \(0.196031\pi\) | |||||||
\(294\) | −2.20974 | − | 3.56712i | −0.128875 | − | 0.208039i | ||||
\(295\) | 23.5651 | + | 8.30452i | 1.37202 | + | 0.483508i | ||||
\(296\) | − | 3.89665i | − | 0.226488i | ||||||
\(297\) | −20.9109 | − | 17.3411i | −1.21337 | − | 1.00623i | ||||
\(298\) | −12.1312 | − | 12.1312i | −0.702740 | − | 0.702740i | ||||
\(299\) | 3.67776 | 0.212690 | ||||||||
\(300\) | 5.32601 | + | 6.82888i | 0.307497 | + | 0.394266i | ||||
\(301\) | −31.7810 | −1.83182 | ||||||||
\(302\) | 12.0014 | + | 12.0014i | 0.690603 | + | 0.690603i | ||||
\(303\) | −18.3453 | − | 4.31057i | −1.05391 | − | 0.247636i | ||||
\(304\) | − | 2.97966i | − | 0.170895i | ||||||
\(305\) | 2.97349 | + | 1.04788i | 0.170262 | + | 0.0600014i | ||||
\(306\) | −0.839202 | + | 1.68718i | −0.0479740 | + | 0.0964498i | ||||
\(307\) | 15.3903 | − | 15.3903i | 0.878369 | − | 0.878369i | −0.114997 | − | 0.993366i | \(-0.536686\pi\) |
0.993366 | + | 0.114997i | \(0.0366858\pi\) | |||||||
\(308\) | 11.3478 | − | 11.3478i | 0.646600 | − | 0.646600i | ||||
\(309\) | −5.30926 | + | 3.28895i | −0.302033 | + | 0.187102i | ||||
\(310\) | 5.07567 | + | 10.5998i | 0.288278 | + | 0.602029i | ||||
\(311\) | 19.9984i | 1.13401i | 0.823715 | + | 0.567004i | \(0.191898\pi\) | ||||
−0.823715 | + | 0.567004i | \(0.808102\pi\) | |||||||
\(312\) | −1.45708 | + | 6.20118i | −0.0824910 | + | 0.351073i | ||||
\(313\) | −21.4652 | − | 21.4652i | −1.21329 | − | 1.21329i | −0.969939 | − | 0.243348i | \(-0.921754\pi\) |
−0.243348 | − | 0.969939i | \(-0.578246\pi\) | |||||||
\(314\) | 16.6652 | 0.940473 | ||||||||
\(315\) | −20.5894 | − | 0.308520i | −1.16008 | − | 0.0173831i | ||||
\(316\) | −11.7332 | −0.660046 | ||||||||
\(317\) | −17.0015 | − | 17.0015i | −0.954897 | − | 0.954897i | 0.0441291 | − | 0.999026i | \(-0.485949\pi\) |
−0.999026 | + | 0.0441291i | \(0.985949\pi\) | |||||||
\(318\) | −0.169379 | + | 0.720860i | −0.00949832 | + | 0.0404238i | ||||
\(319\) | − | 8.92605i | − | 0.499763i | ||||||
\(320\) | −0.743206 | + | 2.10894i | −0.0415465 | + | 0.117894i | ||||
\(321\) | 19.8370 | − | 12.2885i | 1.10719 | − | 0.685877i | ||||
\(322\) | −2.17056 | + | 2.17056i | −0.120960 | + | 0.120960i | ||||
\(323\) | 1.32341 | − | 1.32341i | 0.0736367 | − | 0.0736367i | ||||
\(324\) | −7.17743 | + | 5.42996i | −0.398746 | + | 0.301664i | ||||
\(325\) | 1.97780 | + | 18.2821i | 0.109709 | + | 1.01411i | ||||
\(326\) | 5.35815i | 0.296760i | ||||||||
\(327\) | −13.8339 | − | 3.25052i | −0.765015 | − | 0.179754i | ||||
\(328\) | 4.92569 | + | 4.92569i | 0.271975 | + | 0.271975i | ||||
\(329\) | 26.2886 | 1.44933 | ||||||||
\(330\) | −4.33569 | − | 19.7785i | −0.238672 | − | 1.08877i | ||||
\(331\) | −33.1267 | −1.82081 | −0.910404 | − | 0.413720i | \(-0.864229\pi\) | ||||
−0.910404 | + | 0.413720i | \(0.864229\pi\) | |||||||
\(332\) | 9.38271 | + | 9.38271i | 0.514943 | + | 0.514943i | ||||
\(333\) | 11.0823 | − | 3.71979i | 0.607309 | − | 0.203843i | ||||
\(334\) | 16.3406i | 0.894117i | ||||||||
\(335\) | −10.3935 | + | 4.97687i | −0.567857 | + | 0.271915i | ||||
\(336\) | −2.79989 | − | 4.51979i | −0.152747 | − | 0.246575i | ||||
\(337\) | −0.517894 | + | 0.517894i | −0.0282115 | + | 0.0282115i | −0.721072 | − | 0.692860i | \(-0.756350\pi\) |
0.692860 | + | 0.721072i | \(0.256350\pi\) | |||||||
\(338\) | −0.371866 | + | 0.371866i | −0.0202269 | + | 0.0202269i | ||||
\(339\) | −0.584382 | − | 0.943351i | −0.0317393 | − | 0.0512358i | ||||
\(340\) | −1.26678 | + | 0.606592i | −0.0687009 | + | 0.0328971i | ||||
\(341\) | − | 27.4777i | − | 1.48800i | ||||||
\(342\) | 8.47434 | − | 2.84441i | 0.458240 | − | 0.153808i | ||||
\(343\) | −9.93545 | − | 9.93545i | −0.536464 | − | 0.536464i | ||||
\(344\) | −10.3534 | −0.558215 | ||||||||
\(345\) | 0.829313 | + | 3.78315i | 0.0446487 | + | 0.203678i | ||||
\(346\) | 9.33280 | 0.501734 | ||||||||
\(347\) | −15.1025 | − | 15.1025i | −0.810743 | − | 0.810743i | 0.174003 | − | 0.984745i | \(-0.444330\pi\) |
−0.984745 | + | 0.174003i | \(0.944330\pi\) | |||||||
\(348\) | −2.87879 | − | 0.676425i | −0.154319 | − | 0.0362602i | ||||
\(349\) | − | 1.81851i | − | 0.0973424i | −0.998815 | − | 0.0486712i | \(-0.984501\pi\) | ||
0.998815 | − | 0.0486712i | \(-0.0154986\pi\) | |||||||
\(350\) | −11.9571 | − | 9.62255i | −0.639133 | − | 0.514347i | ||||
\(351\) | −19.0275 | + | 1.77568i | −1.01561 | + | 0.0947788i | ||||
\(352\) | 3.69679 | − | 3.69679i | 0.197040 | − | 0.197040i | ||||
\(353\) | −16.7727 | + | 16.7727i | −0.892723 | + | 0.892723i | −0.994779 | − | 0.102056i | \(-0.967458\pi\) |
0.102056 | + | 0.994779i | \(0.467458\pi\) | |||||||
\(354\) | −16.4527 | + | 10.1920i | −0.874451 | + | 0.541700i | ||||
\(355\) | 3.42925 | − | 9.73092i | 0.182005 | − | 0.516464i | ||||
\(356\) | − | 3.53601i | − | 0.187408i | ||||||
\(357\) | 0.763890 | − | 3.25103i | 0.0404294 | − | 0.172063i | ||||
\(358\) | 13.0272 | + | 13.0272i | 0.688508 | + | 0.688508i | ||||
\(359\) | −3.97799 | −0.209950 | −0.104975 | − | 0.994475i | \(-0.533476\pi\) | ||||
−0.104975 | + | 0.994475i | \(0.533476\pi\) | |||||||
\(360\) | −6.70745 | − | 0.100507i | −0.353514 | − | 0.00529720i | ||||
\(361\) | 10.1217 | 0.532719 | ||||||||
\(362\) | 3.42922 | + | 3.42922i | 0.180236 | + | 0.180236i | ||||
\(363\) | −6.47076 | + | 27.5388i | −0.339627 | + | 1.44541i | ||||
\(364\) | − | 11.2894i | − | 0.591723i | ||||||
\(365\) | −0.953896 | − | 1.99208i | −0.0499292 | − | 0.104270i | ||||
\(366\) | −2.07603 | + | 1.28605i | −0.108516 | + | 0.0672229i | ||||
\(367\) | −14.9574 | + | 14.9574i | −0.780770 | + | 0.780770i | −0.979961 | − | 0.199191i | \(-0.936169\pi\) |
0.199191 | + | 0.979961i | \(0.436169\pi\) | |||||||
\(368\) | −0.707107 | + | 0.707107i | −0.0368605 | + | 0.0368605i | ||||
\(369\) | −9.30686 | + | 18.7111i | −0.484496 | + | 0.974061i | ||||
\(370\) | 8.21783 | + | 2.89602i | 0.427224 | + | 0.150557i | ||||
\(371\) | − | 1.31234i | − | 0.0681332i | ||||||
\(372\) | −8.86201 | − | 2.08229i | −0.459474 | − | 0.107962i | ||||
\(373\) | −3.78362 | − | 3.78362i | −0.195909 | − | 0.195909i | 0.602335 | − | 0.798243i | \(-0.294237\pi\) |
−0.798243 | + | 0.602335i | \(0.794237\pi\) | |||||||
\(374\) | 3.28386 | 0.169804 | ||||||||
\(375\) | −18.3601 | + | 6.15699i | −0.948109 | + | 0.317946i | ||||
\(376\) | 8.56408 | 0.441659 | ||||||||
\(377\) | −4.44004 | − | 4.44004i | −0.228674 | − | 0.228674i | ||||
\(378\) | 10.1818 | − | 12.2777i | 0.523693 | − | 0.631498i | ||||
\(379\) | 0.706517i | 0.0362913i | 0.999835 | + | 0.0181457i | \(0.00577626\pi\) | ||||
−0.999835 | + | 0.0181457i | \(0.994224\pi\) | |||||||
\(380\) | 6.28393 | + | 2.21450i | 0.322359 | + | 0.113601i | ||||
\(381\) | −16.8602 | − | 27.2170i | −0.863776 | − | 1.39437i | ||||
\(382\) | 2.25863 | − | 2.25863i | 0.115561 | − | 0.115561i | ||||
\(383\) | −22.6285 | + | 22.6285i | −1.15626 | + | 1.15626i | −0.170991 | + | 0.985273i | \(0.554697\pi\) |
−0.985273 | + | 0.170991i | \(0.945303\pi\) | |||||||
\(384\) | −0.912127 | − | 1.47242i | −0.0465468 | − | 0.0751392i | ||||
\(385\) | 15.4981 | + | 32.3656i | 0.789856 | + | 1.64950i | ||||
\(386\) | − | 2.19279i | − | 0.111610i | ||||||
\(387\) | −9.88343 | − | 29.4456i | −0.502403 | − | 1.49681i | ||||
\(388\) | −13.1840 | − | 13.1840i | −0.669314 | − | 0.669314i | ||||
\(389\) | −28.6741 | −1.45384 | −0.726918 | − | 0.686724i | \(-0.759048\pi\) | ||||
−0.726918 | + | 0.686724i | \(0.759048\pi\) | |||||||
\(390\) | −11.9950 | − | 7.68166i | −0.607392 | − | 0.388976i | ||||
\(391\) | −0.628123 | −0.0317655 | ||||||||
\(392\) | 1.71305 | + | 1.71305i | 0.0865222 | + | 0.0865222i | ||||
\(393\) | 5.38024 | + | 1.26419i | 0.271397 | + | 0.0637697i | ||||
\(394\) | 22.7465i | 1.14595i | ||||||||
\(395\) | 8.72021 | − | 24.7447i | 0.438762 | − | 1.24504i | ||||
\(396\) | 14.0429 | + | 6.98493i | 0.705684 | + | 0.351006i | ||||
\(397\) | −4.16145 | + | 4.16145i | −0.208857 | + | 0.208857i | −0.803782 | − | 0.594924i | \(-0.797182\pi\) |
0.594924 | + | 0.803782i | \(0.297182\pi\) | |||||||
\(398\) | −6.34628 | + | 6.34628i | −0.318110 | + | 0.318110i | ||||
\(399\) | −13.4674 | + | 8.34272i | −0.674214 | + | 0.417658i | ||||
\(400\) | −3.89529 | − | 3.13476i | −0.194764 | − | 0.156738i | ||||
\(401\) | 7.43533i | 0.371303i | 0.982616 | + | 0.185651i | \(0.0594395\pi\) | ||||
−0.982616 | + | 0.185651i | \(0.940560\pi\) | |||||||
\(402\) | 2.04176 | − | 8.68950i | 0.101834 | − | 0.433393i | ||||
\(403\) | −13.6681 | − | 13.6681i | −0.680858 | − | 0.680858i | ||||
\(404\) | 10.8801 | 0.541306 | ||||||||
\(405\) | −6.11716 | − | 19.1724i | −0.303964 | − | 0.952683i | ||||
\(406\) | 5.24089 | 0.260101 | ||||||||
\(407\) | −14.4051 | − | 14.4051i | −0.714036 | − | 0.714036i | ||||
\(408\) | 0.248854 | − | 1.05910i | 0.0123201 | − | 0.0524331i | ||||
\(409\) | 14.4432i | 0.714170i | 0.934072 | + | 0.357085i | \(0.116229\pi\) | ||||
−0.934072 | + | 0.357085i | \(0.883771\pi\) | |||||||
\(410\) | −14.0488 | + | 6.72719i | −0.693821 | + | 0.332232i | ||||
\(411\) | 26.6629 | − | 16.5170i | 1.31518 | − | 0.814724i | ||||
\(412\) | 2.54969 | − | 2.54969i | 0.125614 | − | 0.125614i | ||||
\(413\) | 24.2536 | − | 24.2536i | 1.19344 | − | 1.19344i | ||||
\(414\) | −2.68607 | − | 1.33605i | −0.132013 | − | 0.0656631i | ||||
\(415\) | −26.7609 | + | 12.8143i | −1.31364 | + | 0.629030i | ||||
\(416\) | − | 3.67776i | − | 0.180317i | ||||||
\(417\) | 20.1648 | + | 4.73808i | 0.987472 | + | 0.232025i | ||||
\(418\) | −11.0152 | − | 11.0152i | −0.538770 | − | 0.538770i | ||||
\(419\) | 4.96433 | 0.242523 | 0.121262 | − | 0.992621i | \(-0.461306\pi\) | ||||
0.121262 | + | 0.992621i | \(0.461306\pi\) | |||||||
\(420\) | 11.6129 | − | 2.54568i | 0.566650 | − | 0.124217i | ||||
\(421\) | −38.1579 | −1.85970 | −0.929851 | − | 0.367938i | \(-0.880064\pi\) | ||||
−0.929851 | + | 0.367938i | \(0.880064\pi\) | |||||||
\(422\) | −0.213015 | − | 0.213015i | −0.0103694 | − | 0.0103694i | ||||
\(423\) | 8.17537 | + | 24.3568i | 0.397500 | + | 1.18427i | ||||
\(424\) | − | 0.427523i | − | 0.0207624i | ||||||
\(425\) | −0.337788 | − | 3.12240i | −0.0163851 | − | 0.151458i | ||||
\(426\) | 4.20867 | + | 6.79393i | 0.203911 | + | 0.329167i | ||||
\(427\) | 3.06036 | − | 3.06036i | 0.148101 | − | 0.148101i | ||||
\(428\) | −9.52639 | + | 9.52639i | −0.460475 | + | 0.460475i | ||||
\(429\) | 17.5380 | + | 28.3110i | 0.846740 | + | 1.36687i | ||||
\(430\) | 7.69468 | − | 21.8346i | 0.371070 | − | 1.05296i | ||||
\(431\) | 28.1762i | 1.35720i | 0.734508 | + | 0.678600i | \(0.237413\pi\) | ||||
−0.734508 | + | 0.678600i | \(0.762587\pi\) | |||||||
\(432\) | 3.31694 | − | 3.99974i | 0.159586 | − | 0.192438i | ||||
\(433\) | 13.8540 | + | 13.8540i | 0.665781 | + | 0.665781i | 0.956737 | − | 0.290956i | \(-0.0939732\pi\) |
−0.290956 | + | 0.956737i | \(0.593973\pi\) | |||||||
\(434\) | 16.1334 | 0.774430 | ||||||||
\(435\) | 3.56608 | − | 5.56849i | 0.170980 | − | 0.266988i | ||||
\(436\) | 8.20451 | 0.392925 | ||||||||
\(437\) | 2.10693 | + | 2.10693i | 0.100788 | + | 0.100788i | ||||
\(438\) | 1.66548 | + | 0.391335i | 0.0795798 | + | 0.0186987i | ||||
\(439\) | − | 13.6748i | − | 0.652661i | −0.945256 | − | 0.326330i | \(-0.894188\pi\) | ||
0.945256 | − | 0.326330i | \(-0.105812\pi\) | |||||||
\(440\) | 5.04885 | + | 10.5438i | 0.240694 | + | 0.502657i | ||||
\(441\) | −3.23674 | + | 6.50734i | −0.154130 | + | 0.309873i | ||||
\(442\) | 1.63348 | − | 1.63348i | 0.0776965 | − | 0.0776965i | ||||
\(443\) | 24.2823 | − | 24.2823i | 1.15369 | − | 1.15369i | 0.167879 | − | 0.985808i | \(-0.446308\pi\) |
0.985808 | − | 0.167879i | \(-0.0536919\pi\) | |||||||
\(444\) | −5.73752 | + | 3.55425i | −0.272290 | + | 0.168677i | ||||
\(445\) | 7.45724 | + | 2.62798i | 0.353507 | + | 0.124578i | ||||
\(446\) | 18.1511i | 0.859480i | ||||||||
\(447\) | −6.79701 | + | 28.9274i | −0.321488 | + | 1.36822i | ||||
\(448\) | 2.17056 | + | 2.17056i | 0.102549 | + | 0.102549i | ||||
\(449\) | 15.3176 | 0.722883 | 0.361442 | − | 0.932395i | \(-0.382285\pi\) | ||||
0.361442 | + | 0.932395i | \(0.382285\pi\) | |||||||
\(450\) | 5.19699 | − | 14.0709i | 0.244988 | − | 0.663310i | ||||
\(451\) | 36.4185 | 1.71488 | ||||||||
\(452\) | 0.453030 | + | 0.453030i | 0.0213087 | + | 0.0213087i | ||||
\(453\) | 6.72431 | − | 28.6179i | 0.315936 | − | 1.34459i | ||||
\(454\) | 14.0892i | 0.661239i | ||||||||
\(455\) | 23.8086 | + | 8.39032i | 1.11616 | + | 0.393344i | ||||
\(456\) | −4.38731 | + | 2.71783i | −0.205454 | + | 0.127274i | ||||
\(457\) | 0.783829 | − | 0.783829i | 0.0366660 | − | 0.0366660i | −0.688536 | − | 0.725202i | \(-0.741746\pi\) |
0.725202 | + | 0.688536i | \(0.241746\pi\) | |||||||
\(458\) | 12.4570 | − | 12.4570i | 0.582079 | − | 0.582079i | ||||
\(459\) | 3.24970 | − | 0.303268i | 0.151683 | − | 0.0141553i | ||||
\(460\) | −0.965722 | − | 2.01677i | −0.0450270 | − | 0.0940326i | ||||
\(461\) | 29.9101i | 1.39305i | 0.717531 | + | 0.696527i | \(0.245272\pi\) | ||||
−0.717531 | + | 0.696527i | \(0.754728\pi\) | |||||||
\(462\) | −27.0593 | − | 6.35809i | −1.25891 | − | 0.295805i | ||||
\(463\) | 12.8240 | + | 12.8240i | 0.595982 | + | 0.595982i | 0.939241 | − | 0.343259i | \(-0.111531\pi\) |
−0.343259 | + | 0.939241i | \(0.611531\pi\) | |||||||
\(464\) | 1.70734 | 0.0792611 | ||||||||
\(465\) | 10.9777 | − | 17.1419i | 0.509080 | − | 0.794937i | ||||
\(466\) | −2.12319 | −0.0983549 | ||||||||
\(467\) | 27.4406 | + | 27.4406i | 1.26980 | + | 1.26980i | 0.946192 | + | 0.323607i | \(0.104895\pi\) |
0.323607 | + | 0.946192i | \(0.395105\pi\) | |||||||
\(468\) | 10.4598 | − | 3.51083i | 0.483504 | − | 0.162288i | ||||
\(469\) | 15.8194i | 0.730472i | ||||||||
\(470\) | −6.36488 | + | 18.0612i | −0.293590 | + | 0.833100i | ||||
\(471\) | −15.2008 | − | 24.5382i | −0.700417 | − | 1.13066i | ||||
\(472\) | 7.90115 | − | 7.90115i | 0.363680 | − | 0.363680i | ||||
\(473\) | −38.2742 | + | 38.2742i | −1.75985 | + | 1.75985i | ||||
\(474\) | 10.7022 | + | 17.2763i | 0.491568 | + | 0.793525i | ||||
\(475\) | −9.34051 | + | 11.6066i | −0.428572 | + | 0.532548i | ||||
\(476\) | 1.92810i | 0.0883745i | ||||||||
\(477\) | 1.21590 | − | 0.408118i | 0.0556724 | − | 0.0186865i | ||||
\(478\) | −17.1895 | − | 17.1895i | −0.786232 | − | 0.786232i | ||||
\(479\) | 15.9073 | 0.726824 | 0.363412 | − | 0.931629i | \(-0.381612\pi\) | ||||
0.363412 | + | 0.931629i | \(0.381612\pi\) | |||||||
\(480\) | 3.78315 | − | 0.829313i | 0.172676 | − | 0.0378528i | ||||
\(481\) | −14.3309 | −0.653435 | ||||||||
\(482\) | 16.8977 | + | 16.8977i | 0.769667 | + | 0.769667i | ||||
\(483\) | 5.17579 | + | 1.21615i | 0.235507 | + | 0.0553367i | ||||
\(484\) | − | 16.3326i | − | 0.742390i | ||||||
\(485\) | 37.6026 | − | 18.0058i | 1.70745 | − | 0.817602i | ||||
\(486\) | 14.5419 | + | 5.61539i | 0.659635 | + | 0.254719i | ||||
\(487\) | 17.8486 | − | 17.8486i | 0.808797 | − | 0.808797i | −0.175655 | − | 0.984452i | \(-0.556204\pi\) |
0.984452 | + | 0.175655i | \(0.0562042\pi\) | |||||||
\(488\) | 0.996981 | − | 0.996981i | 0.0451312 | − | 0.0451312i | ||||
\(489\) | 7.88945 | − | 4.88731i | 0.356773 | − | 0.221012i | ||||
\(490\) | −4.88588 | + | 2.33958i | −0.220722 | + | 0.105691i | ||||
\(491\) | − | 12.5148i | − | 0.564787i | −0.959299 | − | 0.282393i | \(-0.908872\pi\) | ||
0.959299 | − | 0.282393i | \(-0.0911283\pi\) | |||||||
\(492\) | 2.75983 | − | 11.7455i | 0.124423 | − | 0.529530i | ||||
\(493\) | 0.758313 | + | 0.758313i | 0.0341527 | + | 0.0341527i | ||||
\(494\) | −10.9584 | −0.493044 | ||||||||
\(495\) | −25.1676 | + | 24.4245i | −1.13120 | + | 1.09780i | ||||
\(496\) | 5.25582 | 0.235993 | ||||||||
\(497\) | −10.0152 | − | 10.0152i | −0.449243 | − | 0.449243i | ||||
\(498\) | 5.25707 | − | 22.3735i | 0.235575 | − | 1.00258i | ||||
\(499\) | 26.3804i | 1.18095i | 0.807056 | + | 0.590474i | \(0.201059\pi\) | ||||
−0.807056 | + | 0.590474i | \(0.798941\pi\) | |||||||
\(500\) | 9.50604 | − | 5.88517i | 0.425123 | − | 0.263193i | ||||
\(501\) | 24.0602 | − | 14.9047i | 1.07493 | − | 0.665893i | ||||
\(502\) | 15.9131 | − | 15.9131i | 0.710234 | − | 0.710234i | ||||
\(503\) | −9.48821 | + | 9.48821i | −0.423059 | + | 0.423059i | −0.886255 | − | 0.463197i | \(-0.846702\pi\) |
0.463197 | + | 0.886255i | \(0.346702\pi\) | |||||||
\(504\) | −4.10117 | + | 8.24524i | −0.182681 | + | 0.367272i | ||||
\(505\) | −8.08618 | + | 22.9456i | −0.359830 | + | 1.02106i | ||||
\(506\) | 5.22806i | 0.232415i | ||||||||
\(507\) | 0.886733 | + | 0.208354i | 0.0393812 | + | 0.00925334i | ||||
\(508\) | 13.0705 | + | 13.0705i | 0.579911 | + | 0.579911i | ||||
\(509\) | 14.3787 | 0.637323 | 0.318662 | − | 0.947869i | \(-0.396767\pi\) | ||||
0.318662 | + | 0.947869i | \(0.396767\pi\) | |||||||
\(510\) | 2.04863 | + | 1.31195i | 0.0907147 | + | 0.0580940i | ||||
\(511\) | −3.03204 | −0.134129 | ||||||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −11.9179 | − | 9.88333i | −0.526186 | − | 0.436360i | ||||
\(514\) | 24.0507i | 1.06083i | ||||||||
\(515\) | 3.48221 | + | 7.27210i | 0.153444 | + | 0.320447i | ||||
\(516\) | 9.44358 | + | 15.2445i | 0.415730 | + | 0.671101i | ||||
\(517\) | 31.6596 | − | 31.6596i | 1.39239 | − | 1.39239i | ||||
\(518\) | 8.45790 | − | 8.45790i | 0.371619 | − | 0.371619i | ||||
\(519\) | −8.51270 | − | 13.7418i | −0.373666 | − | 0.603198i | ||||
\(520\) | 7.75618 | + | 2.73333i | 0.340131 | + | 0.119865i | ||||
\(521\) | − | 12.6632i | − | 0.554784i | −0.960757 | − | 0.277392i | \(-0.910530\pi\) | ||
0.960757 | − | 0.277392i | \(-0.0894701\pi\) | |||||||
\(522\) | 1.62984 | + | 4.85578i | 0.0713363 | + | 0.212532i | ||||
\(523\) | −9.41837 | − | 9.41837i | −0.411836 | − | 0.411836i | 0.470541 | − | 0.882378i | \(-0.344059\pi\) |
−0.882378 | + | 0.470541i | \(0.844059\pi\) | |||||||
\(524\) | −3.19088 | −0.139394 | ||||||||
\(525\) | −3.26206 | + | 26.3829i | −0.142368 | + | 1.15144i | ||||
\(526\) | −25.3474 | −1.10520 | ||||||||
\(527\) | 2.33437 | + | 2.33437i | 0.101687 | + | 0.101687i | ||||
\(528\) | −8.81518 | − | 2.07129i | −0.383632 | − | 0.0901413i | ||||
\(529\) | − | 1.00000i | − | 0.0434783i | ||||||
\(530\) | 0.901622 | + | 0.317738i | 0.0391640 | + | 0.0138017i | ||||
\(531\) | 30.0139 | + | 14.9289i | 1.30249 | + | 0.647858i | ||||
\(532\) | 6.46751 | − | 6.46751i | 0.280402 | − | 0.280402i | ||||
\(533\) | 18.1155 | − | 18.1155i | 0.784668 | − | 0.784668i | ||||
\(534\) | −5.20649 | + | 3.22529i | −0.225307 | + | 0.139572i | ||||
\(535\) | −13.0105 | − | 27.1707i | −0.562495 | − | 1.17469i | ||||
\(536\) | 5.15352i | 0.222598i | ||||||||
\(537\) | 7.29904 | − | 31.0639i | 0.314977 | − | 1.34051i | ||||
\(538\) | −12.7240 | − | 12.7240i | −0.548571 | − | 0.548571i | ||||
\(539\) | 12.6656 | 0.545546 | ||||||||
\(540\) | 5.97006 | + | 9.96787i | 0.256911 | + | 0.428949i | ||||
\(541\) | 9.84624 | 0.423323 | 0.211661 | − | 0.977343i | \(-0.432113\pi\) | ||||
0.211661 | + | 0.977343i | \(0.432113\pi\) | |||||||
\(542\) | −9.91928 | − | 9.91928i | −0.426070 | − | 0.426070i | ||||
\(543\) | 1.92137 | − | 8.17714i | 0.0824538 | − | 0.350915i | ||||
\(544\) | 0.628123i | 0.0269305i | ||||||||
\(545\) | −6.09764 | + | 17.3028i | −0.261194 | + | 0.741173i | ||||
\(546\) | −16.6227 | + | 10.2973i | −0.711385 | + | 0.440685i | ||||
\(547\) | −24.2038 | + | 24.2038i | −1.03488 | + | 1.03488i | −0.0355120 | + | 0.999369i | \(0.511306\pi\) |
−0.999369 | + | 0.0355120i | \(0.988694\pi\) | |||||||
\(548\) | −12.8044 | + | 12.8044i | −0.546979 | + | 0.546979i | ||||
\(549\) | 3.78721 | + | 1.88375i | 0.161634 | + | 0.0803966i | ||||
\(550\) | −25.9886 | + | 2.81151i | −1.10816 | + | 0.119883i | ||||
\(551\) | − | 5.08727i | − | 0.216725i | ||||||
\(552\) | 1.68613 | + | 0.396187i | 0.0717665 | + | 0.0168629i | ||||
\(553\) | −25.4676 | − | 25.4676i | −1.08299 | − | 1.08299i | ||||
\(554\) | −1.40594 | −0.0597327 | ||||||||
\(555\) | −3.23155 | − | 14.7416i | −0.137171 | − | 0.625748i | ||||
\(556\) | −11.9592 | −0.507183 | ||||||||
\(557\) | −19.7073 | − | 19.7073i | −0.835026 | − | 0.835026i | 0.153174 | − | 0.988199i | \(-0.451051\pi\) |
−0.988199 | + | 0.153174i | \(0.951051\pi\) | |||||||
\(558\) | 5.01727 | + | 14.9479i | 0.212398 | + | 0.632796i | ||||
\(559\) | 38.0771i | 1.61049i | ||||||||
\(560\) | −6.19075 | + | 2.96441i | −0.261607 | + | 0.125269i | ||||
\(561\) | −2.99530 | − | 4.83523i | −0.126462 | − | 0.204143i | ||||
\(562\) | −11.3115 | + | 11.3115i | −0.477145 | + | 0.477145i | ||||
\(563\) | 6.01209 | − | 6.01209i | 0.253379 | − | 0.253379i | −0.568975 | − | 0.822355i | \(-0.692660\pi\) |
0.822355 | + | 0.568975i | \(0.192660\pi\) | |||||||
\(564\) | −7.81153 | − | 12.6099i | −0.328925 | − | 0.530974i | ||||
\(565\) | −1.29211 | + | 0.618719i | −0.0543594 | + | 0.0260297i | ||||
\(566\) | 30.1471i | 1.26718i | ||||||||
\(567\) | −27.3650 | − | 3.79300i | −1.14922 | − | 0.159291i | ||||
\(568\) | −3.26268 | − | 3.26268i | −0.136899 | − | 0.136899i | ||||
\(569\) | −1.31647 | −0.0551895 | −0.0275947 | − | 0.999619i | \(-0.508785\pi\) | ||||
−0.0275947 | + | 0.999619i | \(0.508785\pi\) | |||||||
\(570\) | −2.47107 | − | 11.2725i | −0.103502 | − | 0.472153i | ||||
\(571\) | 17.5617 | 0.734934 | 0.367467 | − | 0.930036i | \(-0.380225\pi\) | ||||
0.367467 | + | 0.930036i | \(0.380225\pi\) | |||||||
\(572\) | −13.5959 | − | 13.5959i | −0.568474 | − | 0.568474i | ||||
\(573\) | −5.38581 | − | 1.26549i | −0.224995 | − | 0.0528668i | ||||
\(574\) | 21.3829i | 0.892507i | ||||||||
\(575\) | 4.97100 | − | 0.537774i | 0.207305 | − | 0.0224267i | ||||
\(576\) | −1.33605 | + | 2.68607i | −0.0556686 | + | 0.111920i | ||||
\(577\) | 16.0820 | − | 16.0820i | 0.669504 | − | 0.669504i | −0.288097 | − | 0.957601i | \(-0.593023\pi\) |
0.957601 | + | 0.288097i | \(0.0930225\pi\) | |||||||
\(578\) | 11.7418 | − | 11.7418i | 0.488396 | − | 0.488396i | ||||
\(579\) | −3.22871 | + | 2.00010i | −0.134180 | + | 0.0831214i | ||||
\(580\) | −1.26890 | + | 3.60068i | −0.0526883 | + | 0.149510i | ||||
\(581\) | 40.7314i | 1.68982i | ||||||||
\(582\) | −7.38688 | + | 31.4378i | −0.306196 | + | 1.30314i | ||||
\(583\) | −1.58046 | − | 1.58046i | −0.0654562 | − | 0.0654562i | ||||
\(584\) | −0.987754 | −0.0408735 | ||||||||
\(585\) | −0.369642 | + | 24.6684i | −0.0152828 | + | 1.01991i | ||||
\(586\) | 5.77667 | 0.238632 | ||||||||
\(587\) | −9.61314 | − | 9.61314i | −0.396777 | − | 0.396777i | 0.480318 | − | 0.877095i | \(-0.340521\pi\) |
−0.877095 | + | 0.480318i | \(0.840521\pi\) | |||||||
\(588\) | 0.959812 | − | 4.08486i | 0.0395820 | − | 0.168457i | ||||
\(589\) | − | 15.6605i | − | 0.645282i | ||||||
\(590\) | 10.7909 | + | 22.5353i | 0.444254 | + | 0.927762i | ||||
\(591\) | 33.4925 | − | 20.7478i | 1.37770 | − | 0.853448i | ||||
\(592\) | 2.75535 | − | 2.75535i | 0.113244 | − | 0.113244i | ||||
\(593\) | 12.3638 | − | 12.3638i | 0.507719 | − | 0.507719i | −0.406106 | − | 0.913826i | \(-0.633114\pi\) |
0.913826 | + | 0.406106i | \(0.133114\pi\) | |||||||
\(594\) | −2.52419 | − | 27.0483i | −0.103569 | − | 1.10980i | ||||
\(595\) | −4.06626 | − | 1.43298i | −0.166701 | − | 0.0587464i | ||||
\(596\) | − | 17.1561i | − | 0.702740i | ||||||
\(597\) | 15.1330 | + | 3.55578i | 0.619353 | + | 0.145528i | ||||
\(598\) | 2.60057 | + | 2.60057i | 0.106345 | + | 0.106345i | ||||
\(599\) | 48.6613 | 1.98825 | 0.994123 | − | 0.108255i | \(-0.0345263\pi\) | ||||
0.994123 | + | 0.108255i | \(0.0345263\pi\) | |||||||
\(600\) | −1.06269 | + | 8.59481i | −0.0433841 | + | 0.350881i | ||||
\(601\) | −28.4823 | −1.16182 | −0.580909 | − | 0.813969i | \(-0.697303\pi\) | ||||
−0.580909 | + | 0.813969i | \(0.697303\pi\) | |||||||
\(602\) | −22.4725 | − | 22.4725i | −0.915912 | − | 0.915912i | ||||
\(603\) | −14.6570 | + | 4.91961i | −0.596877 | + | 0.200342i | ||||
\(604\) | 16.9726i | 0.690603i | ||||||||
\(605\) | 34.4445 | + | 12.1385i | 1.40037 | + | 0.493499i | ||||
\(606\) | −9.92406 | − | 16.0201i | −0.403137 | − | 0.650773i | ||||
\(607\) | 10.2267 | − | 10.2267i | 0.415088 | − | 0.415088i | −0.468419 | − | 0.883507i | \(-0.655176\pi\) |
0.883507 | + | 0.468419i | \(0.155176\pi\) | |||||||
\(608\) | 2.10693 | − | 2.10693i | 0.0854475 | − | 0.0854475i | ||||
\(609\) | −4.78036 | − | 7.71679i | −0.193710 | − | 0.312700i | ||||
\(610\) | 1.36161 | + | 2.84354i | 0.0551302 | + | 0.115132i | ||||
\(611\) | − | 31.4966i | − | 1.27422i | ||||||
\(612\) | −1.78642 | + | 0.599613i | −0.0722119 | + | 0.0242379i | ||||
\(613\) | 4.21128 | + | 4.21128i | 0.170092 | + | 0.170092i | 0.787020 | − | 0.616928i | \(-0.211623\pi\) |
−0.616928 | + | 0.787020i | \(0.711623\pi\) | |||||||
\(614\) | 21.7651 | 0.878369 | ||||||||
\(615\) | 22.7196 | + | 14.5497i | 0.916141 | + | 0.586700i | ||||
\(616\) | 16.0482 | 0.646600 | ||||||||
\(617\) | 1.18781 | + | 1.18781i | 0.0478194 | + | 0.0478194i | 0.730612 | − | 0.682793i | \(-0.239235\pi\) |
−0.682793 | + | 0.730612i | \(0.739235\pi\) | |||||||
\(618\) | −6.07986 | − | 1.42857i | −0.244568 | − | 0.0574657i | ||||
\(619\) | − | 9.65709i | − | 0.388151i | −0.980987 | − | 0.194076i | \(-0.937829\pi\) | ||
0.980987 | − | 0.194076i | \(-0.0621707\pi\) | |||||||
\(620\) | −3.90616 | + | 11.0842i | −0.156875 | + | 0.445154i | ||||
\(621\) | 0.482816 | + | 5.17367i | 0.0193747 | + | 0.207612i | ||||
\(622\) | −14.1410 | + | 14.1410i | −0.567004 | + | 0.567004i | ||||
\(623\) | 7.67510 | − | 7.67510i | 0.307497 | − | 0.307497i | ||||
\(624\) | −5.41521 | + | 3.35458i | −0.216782 | + | 0.134291i | ||||
\(625\) | 5.34654 | + | 24.4216i | 0.213862 | + | 0.976864i | ||||
\(626\) | − | 30.3564i | − | 1.21329i | ||||||
\(627\) | −6.17173 | + | 26.2662i | −0.246475 | + | 1.04897i | ||||
\(628\) | 11.7841 | + | 11.7841i | 0.470237 | + | 0.470237i | ||||
\(629\) | 2.44758 | 0.0975913 | ||||||||
\(630\) | −14.3407 | − | 14.7771i | −0.571349 | − | 0.588732i | ||||
\(631\) | −20.1398 | −0.801754 | −0.400877 | − | 0.916132i | \(-0.631295\pi\) | ||||
−0.400877 | + | 0.916132i | \(0.631295\pi\) | |||||||
\(632\) | −8.29665 | − | 8.29665i | −0.330023 | − | 0.330023i | ||||
\(633\) | −0.119351 | + | 0.507945i | −0.00474377 | + | 0.0201890i | ||||
\(634\) | − | 24.0437i | − | 0.954897i | ||||||
\(635\) | −37.2791 | + | 17.8509i | −1.47938 | + | 0.708391i | ||||
\(636\) | −0.629494 | + | 0.389956i | −0.0249611 | + | 0.0154627i | ||||
\(637\) | 6.30019 | − | 6.30019i | 0.249623 | − | 0.249623i | ||||
\(638\) | 6.31167 | − | 6.31167i | 0.249881 | − | 0.249881i | ||||
\(639\) | 6.16468 | − | 12.3939i | 0.243871 | − | 0.490294i | ||||
\(640\) | −2.01677 | + | 0.965722i | −0.0797200 | + | 0.0381735i | ||||
\(641\) | − | 7.77971i | − | 0.307280i | −0.988127 | − | 0.153640i | \(-0.950900\pi\) | ||
0.988127 | − | 0.153640i | \(-0.0490996\pi\) | |||||||
\(642\) | 22.7161 | + | 5.33757i | 0.896534 | + | 0.210657i | ||||
\(643\) | −22.1643 | − | 22.1643i | −0.874075 | − | 0.874075i | 0.118838 | − | 0.992914i | \(-0.462083\pi\) |
−0.992914 | + | 0.118838i | \(0.962083\pi\) | |||||||
\(644\) | −3.06963 | −0.120960 | ||||||||
\(645\) | −39.1683 | + | 8.58617i | −1.54225 | + | 0.338080i | ||||
\(646\) | 1.87159 | 0.0736367 | ||||||||
\(647\) | 7.24949 | + | 7.24949i | 0.285007 | + | 0.285007i | 0.835102 | − | 0.550095i | \(-0.185409\pi\) |
−0.550095 | + | 0.835102i | \(0.685409\pi\) | |||||||
\(648\) | −8.91477 | − | 1.23565i | −0.350205 | − | 0.0485410i | ||||
\(649\) | − | 58.4178i | − | 2.29310i | ||||||
\(650\) | −11.5289 | + | 14.3259i | −0.452200 | + | 0.561909i | ||||
\(651\) | −14.7157 | − | 23.7552i | −0.576756 | − | 0.931040i | ||||
\(652\) | −3.78878 | + | 3.78878i | −0.148380 | + | 0.148380i | ||||
\(653\) | 18.2696 | − | 18.2696i | 0.714944 | − | 0.714944i | −0.252621 | − | 0.967565i | \(-0.581293\pi\) |
0.967565 | + | 0.252621i | \(0.0812926\pi\) | |||||||
\(654\) | −7.48356 | − | 12.0805i | −0.292630 | − | 0.472385i | ||||
\(655\) | 2.37148 | − | 6.72938i | 0.0926615 | − | 0.262939i | ||||
\(656\) | 6.96597i | 0.271975i | ||||||||
\(657\) | −0.942921 | − | 2.80924i | −0.0367868 | − | 0.109599i | ||||
\(658\) | 18.5888 | + | 18.5888i | 0.724667 | + | 0.724667i | ||||
\(659\) | 23.0114 | 0.896399 | 0.448199 | − | 0.893934i | \(-0.352066\pi\) | ||||
0.448199 | + | 0.893934i | \(0.352066\pi\) | |||||||
\(660\) | 10.9197 | − | 17.0513i | 0.425050 | − | 0.663722i | ||||
\(661\) | −21.2264 | −0.825611 | −0.412806 | − | 0.910819i | \(-0.635451\pi\) | ||||
−0.412806 | + | 0.910819i | \(0.635451\pi\) | |||||||
\(662\) | −23.4241 | − | 23.4241i | −0.910404 | − | 0.910404i | ||||
\(663\) | −3.89510 | − | 0.915226i | −0.151273 | − | 0.0355444i | ||||
\(664\) | 13.2692i | 0.514943i | ||||||||
\(665\) | 8.83292 | + | 18.4463i | 0.342526 | + | 0.715317i | ||||
\(666\) | 10.4667 | + | 5.20611i | 0.405576 | + | 0.201733i | ||||
\(667\) | −1.20727 | + | 1.20727i | −0.0467456 | + | 0.0467456i | ||||
\(668\) | −11.5545 | + | 11.5545i | −0.447058 | + | 0.447058i | ||||
\(669\) | 26.7261 | − | 16.5561i | 1.03329 | − | 0.640097i | ||||
\(670\) | −10.8685 | − | 3.83013i | −0.419886 | − | 0.147971i | ||||
\(671\) | − | 7.37127i | − | 0.284565i | ||||||
\(672\) | 1.21615 | − | 5.17579i | 0.0469139 | − | 0.199661i | ||||
\(673\) | −2.23113 | − | 2.23113i | −0.0860038 | − | 0.0860038i | 0.662796 | − | 0.748800i | \(-0.269370\pi\) |
−0.748800 | + | 0.662796i | \(0.769370\pi\) | |||||||
\(674\) | −0.732413 | −0.0282115 | ||||||||
\(675\) | −25.4587 | + | 5.18234i | −0.979904 | + | 0.199468i | ||||
\(676\) | −0.525898 | −0.0202269 | ||||||||
\(677\) | −8.73195 | − | 8.73195i | −0.335596 | − | 0.335596i | 0.519111 | − | 0.854707i | \(-0.326263\pi\) |
−0.854707 | + | 0.519111i | \(0.826263\pi\) | |||||||
\(678\) | 0.253829 | − | 1.08027i | 0.00974826 | − | 0.0414876i | ||||
\(679\) | − | 57.2330i | − | 2.19640i | ||||||
\(680\) | −1.32468 | − | 0.466825i | −0.0507990 | − | 0.0179019i | ||||
\(681\) | 20.7453 | − | 12.8512i | 0.794960 | − | 0.492457i | ||||
\(682\) | 19.4297 | − | 19.4297i | 0.744002 | − | 0.744002i | ||||
\(683\) | 7.60796 | − | 7.60796i | 0.291110 | − | 0.291110i | −0.546408 | − | 0.837519i | \(-0.684005\pi\) |
0.837519 | + | 0.546408i | \(0.184005\pi\) | |||||||
\(684\) | 8.00357 | + | 3.98096i | 0.306024 | + | 0.152216i | ||||
\(685\) | −17.4875 | − | 36.5202i | −0.668163 | − | 1.39536i | ||||
\(686\) | − | 14.0509i | − | 0.536464i | ||||||
\(687\) | −29.7044 | − | 6.97959i | −1.13329 | − | 0.266288i | ||||
\(688\) | −7.32093 | − | 7.32093i | −0.279108 | − | 0.279108i | ||||
\(689\) | −1.57233 | −0.0599009 | ||||||||
\(690\) | −2.08868 | + | 3.26151i | −0.0795147 | + | 0.124163i | ||||
\(691\) | 48.5623 | 1.84740 | 0.923698 | − | 0.383120i | \(-0.125151\pi\) | ||||
0.923698 | + | 0.383120i | \(0.125151\pi\) | |||||||
\(692\) | 6.59928 | + | 6.59928i | 0.250867 | + | 0.250867i | ||||
\(693\) | 15.3198 | + | 45.6421i | 0.581951 | + | 1.73380i | ||||
\(694\) | − | 21.3581i | − | 0.810743i | ||||||
\(695\) | 8.88815 | − | 25.2213i | 0.337147 | − | 0.956697i | ||||
\(696\) | −1.55731 | − | 2.51392i | −0.0590296 | − | 0.0952898i | ||||
\(697\) | −3.09394 | + | 3.09394i | −0.117191 | + | 0.117191i | ||||
\(698\) | 1.28588 | − | 1.28588i | 0.0486712 | − | 0.0486712i | ||||
\(699\) | 1.93662 | + | 3.12623i | 0.0732497 | + | 0.118245i | ||||
\(700\) | −1.65077 | − | 15.2591i | −0.0623931 | − | 0.576740i | ||||
\(701\) | − | 18.5789i | − | 0.701715i | −0.936429 | − | 0.350858i | \(-0.885890\pi\) | ||
0.936429 | − | 0.350858i | \(-0.114110\pi\) | |||||||
\(702\) | −14.7101 | − | 12.1989i | −0.555196 | − | 0.460417i | ||||
\(703\) | −8.21000 | − | 8.21000i | −0.309646 | − | 0.309646i | ||||
\(704\) | 5.22806 | 0.197040 | ||||||||
\(705\) | 32.3992 | − | 7.10230i | 1.22023 | − | 0.267488i | ||||
\(706\) | −23.7202 | −0.892723 | ||||||||
\(707\) | 23.6159 | + | 23.6159i | 0.888168 | + | 0.888168i | ||||
\(708\) | −18.8407 | − | 4.42696i | −0.708076 | − | 0.166375i | ||||
\(709\) | 40.6579i | 1.52694i | 0.645844 | + | 0.763469i | \(0.276505\pi\) | ||||
−0.645844 | + | 0.763469i | \(0.723495\pi\) | |||||||
\(710\) | 9.30564 | − | 4.45596i | 0.349235 | − | 0.167229i | ||||
\(711\) | 15.6761 | − | 31.5163i | 0.587901 | − | 1.18195i | ||||
\(712\) | 2.50034 | − | 2.50034i | 0.0937041 | − | 0.0937041i | ||||
\(713\) | −3.71643 | + | 3.71643i | −0.139181 | + | 0.139181i | ||||
\(714\) | 2.83898 | − | 1.75868i | 0.106246 | − | 0.0658168i | ||||
\(715\) | 38.7776 | − | 18.5684i | 1.45020 | − | 0.694420i | ||||
\(716\) | 18.4232i | 0.688508i | ||||||||
\(717\) | −9.63119 | + | 40.9893i | −0.359683 | + | 1.53077i | ||||
\(718\) | −2.81286 | − | 2.81286i | −0.104975 | − | 0.104975i | ||||
\(719\) | −20.2760 | −0.756166 | −0.378083 | − | 0.925772i | \(-0.623417\pi\) | ||||
−0.378083 | + | 0.925772i | \(0.623417\pi\) | |||||||
\(720\) | −4.67181 | − | 4.81395i | −0.174108 | − | 0.179405i | ||||
\(721\) | 11.0685 | 0.412212 | ||||||||
\(722\) | 7.15709 | + | 7.15709i | 0.266359 | + | 0.266359i | ||||
\(723\) | 9.46765 | − | 40.2933i | 0.352106 | − | 1.49852i | ||||
\(724\) | 4.84965i | 0.180236i | ||||||||
\(725\) | −6.65057 | − | 5.35209i | −0.246996 | − | 0.198772i | ||||
\(726\) | −24.0484 | + | 14.8974i | −0.892520 | + | 0.552894i | ||||
\(727\) | 36.0659 | − | 36.0659i | 1.33761 | − | 1.33761i | 0.439239 | − | 0.898370i | \(-0.355248\pi\) |
0.898370 | − | 0.439239i | \(-0.144752\pi\) | |||||||
\(728\) | 7.98278 | − | 7.98278i | 0.295861 | − | 0.295861i | ||||
\(729\) | −4.99586 | − | 26.5338i | −0.185032 | − | 0.982733i | ||||
\(730\) | 0.734105 | − | 2.08312i | 0.0271704 | − | 0.0770996i | ||||
\(731\) | − | 6.50318i | − | 0.240529i | ||||||
\(732\) | −2.37735 | − | 0.558602i | −0.0878694 | − | 0.0206465i | ||||
\(733\) | −13.8202 | − | 13.8202i | −0.510462 | − | 0.510462i | 0.404206 | − | 0.914668i | \(-0.367548\pi\) |
−0.914668 | + | 0.404206i | \(0.867548\pi\) | |||||||
\(734\) | −21.1530 | −0.780770 | ||||||||
\(735\) | 7.90140 | + | 5.06008i | 0.291447 | + | 0.186644i | ||||
\(736\) | −1.00000 | −0.0368605 | ||||||||
\(737\) | 19.0515 | + | 19.0515i | 0.701771 | + | 0.701771i | ||||
\(738\) | −19.8117 | + | 6.64980i | −0.729278 | + | 0.244782i | ||||
\(739\) | 18.0843i | 0.665240i | 0.943061 | + | 0.332620i | \(0.107933\pi\) | ||||
−0.943061 | + | 0.332620i | \(0.892067\pi\) | |||||||
\(740\) | 3.76309 | + | 7.85867i | 0.138334 | + | 0.288891i | ||||
\(741\) | 9.99550 | + | 16.1354i | 0.367194 | + | 0.592751i | ||||
\(742\) | 0.927963 | − | 0.927963i | 0.0340666 | − | 0.0340666i | ||||
\(743\) | −14.2366 | + | 14.2366i | −0.522291 | + | 0.522291i | −0.918263 | − | 0.395972i | \(-0.870408\pi\) |
0.395972 | + | 0.918263i | \(0.370408\pi\) | |||||||
\(744\) | −4.79398 | − | 7.73879i | −0.175756 | − | 0.283718i | ||||
\(745\) | 36.1812 | + | 12.7505i | 1.32558 | + | 0.467142i | ||||
\(746\) | − | 5.35085i | − | 0.195909i | ||||||
\(747\) | −37.7384 | + | 12.6669i | −1.38077 | + | 0.463457i | ||||
\(748\) | 2.32204 | + | 2.32204i | 0.0849022 | + | 0.0849022i | ||||
\(749\) | −41.3551 | −1.51108 | ||||||||
\(750\) | −17.3362 | − | 8.62887i | −0.633027 | − | 0.315082i | ||||
\(751\) | 9.75271 | 0.355882 | 0.177941 | − | 0.984041i | \(-0.443056\pi\) | ||||
0.177941 | + | 0.984041i | \(0.443056\pi\) | |||||||
\(752\) | 6.05572 | + | 6.05572i | 0.220829 | + | 0.220829i | ||||
\(753\) | −37.9454 | − | 8.91598i | −1.38281 | − | 0.324916i | ||||
\(754\) | − | 6.27917i | − | 0.228674i | ||||||
\(755\) | −35.7942 | − | 12.6141i | −1.30268 | − | 0.459074i | ||||
\(756\) | 15.8813 | − | 1.48207i | 0.577596 | − | 0.0539022i | ||||
\(757\) | 20.1653 | − | 20.1653i | 0.732920 | − | 0.732920i | −0.238277 | − | 0.971197i | \(-0.576583\pi\) |
0.971197 | + | 0.238277i | \(0.0765827\pi\) | |||||||
\(758\) | −0.499583 | + | 0.499583i | −0.0181457 | + | 0.0181457i | ||||
\(759\) | 7.69790 | − | 4.76865i | 0.279416 | − | 0.173091i | ||||
\(760\) | 2.87752 | + | 6.00929i | 0.104379 | + | 0.217980i | ||||
\(761\) | − | 1.55390i | − | 0.0563288i | −0.999603 | − | 0.0281644i | \(-0.991034\pi\) | ||
0.999603 | − | 0.0281644i | \(-0.00896620\pi\) | |||||||
\(762\) | 7.32333 | − | 31.1673i | 0.265296 | − | 1.12907i | ||||
\(763\) | 17.8083 | + | 17.8083i | 0.644705 | + | 0.644705i | ||||
\(764\) | 3.19418 | 0.115561 | ||||||||
\(765\) | 0.0631309 | − | 4.21310i | 0.00228250 | − | 0.152325i | ||||
\(766\) | −32.0016 | −1.15626 | ||||||||
\(767\) | −29.0585 | − | 29.0585i | −1.04924 | − | 1.04924i | ||||
\(768\) | 0.396187 | − | 1.68613i | 0.0142962 | − | 0.0608430i | ||||
\(769\) | 26.7080i | 0.963116i | 0.876414 | + | 0.481558i | \(0.159929\pi\) | ||||
−0.876414 | + | 0.481558i | \(0.840071\pi\) | |||||||
\(770\) | −11.9271 | + | 33.8447i | −0.429824 | + | 1.21968i | ||||
\(771\) | 35.4128 | − | 21.9373i | 1.27536 | − | 0.790053i | ||||
\(772\) | 1.55053 | − | 1.55053i | 0.0558050 | − | 0.0558050i | ||||
\(773\) | −4.61426 | + | 4.61426i | −0.165963 | + | 0.165963i | −0.785202 | − | 0.619239i | \(-0.787441\pi\) |
0.619239 | + | 0.785202i | \(0.287441\pi\) | |||||||
\(774\) | 13.8326 | − | 27.8098i | 0.497201 | − | 0.999604i | ||||
\(775\) | −20.4730 | − | 16.4758i | −0.735410 | − | 0.591827i | ||||
\(776\) | − | 18.6449i | − | 0.669314i | ||||||
\(777\) | −20.1683 | − | 4.73891i | −0.723533 | − | 0.170007i |