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: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
Defining polynomial: |
\( x^{2} - x + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 484.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.484 |
Dual form | 507.2.e.c.22.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | 0.986869 | − | 0.161521i | \(-0.0516399\pi\) |
−0.633316 | + | 0.773893i | \(0.718307\pi\) | |||||||
\(3\) | 0.500000 | + | 0.866025i | 0.288675 | + | 0.500000i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 1.00000 | 0.447214 | 0.223607 | − | 0.974679i | \(-0.428217\pi\) | ||||
0.223607 | + | 0.974679i | \(0.428217\pi\) | |||||||
\(6\) | −0.500000 | + | 0.866025i | −0.204124 | + | 0.353553i | ||||
\(7\) | 1.00000 | − | 1.73205i | 0.377964 | − | 0.654654i | −0.612801 | − | 0.790237i | \(-0.709957\pi\) |
0.990766 | + | 0.135583i | \(0.0432908\pi\) | |||||||
\(8\) | 3.00000 | 1.06066 | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0.500000 | + | 0.866025i | 0.158114 | + | 0.273861i | ||||
\(11\) | −1.00000 | − | 1.73205i | −0.301511 | − | 0.522233i | 0.674967 | − | 0.737848i | \(-0.264158\pi\) |
−0.976478 | + | 0.215615i | \(0.930824\pi\) | |||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 2.00000 | 0.534522 | ||||||||
\(15\) | 0.500000 | + | 0.866025i | 0.129099 | + | 0.223607i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 3.50000 | − | 6.06218i | 0.848875 | − | 1.47029i | −0.0333386 | − | 0.999444i | \(-0.510614\pi\) |
0.882213 | − | 0.470850i | \(-0.156053\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | −3.00000 | + | 5.19615i | −0.688247 | + | 1.19208i | 0.284157 | + | 0.958778i | \(0.408286\pi\) |
−0.972404 | + | 0.233301i | \(0.925047\pi\) | |||||||
\(20\) | 0.500000 | − | 0.866025i | 0.111803 | − | 0.193649i | ||||
\(21\) | 2.00000 | 0.436436 | ||||||||
\(22\) | 1.00000 | − | 1.73205i | 0.213201 | − | 0.369274i | ||||
\(23\) | 3.00000 | + | 5.19615i | 0.625543 | + | 1.08347i | 0.988436 | + | 0.151642i | \(0.0484560\pi\) |
−0.362892 | + | 0.931831i | \(0.618211\pi\) | |||||||
\(24\) | 1.50000 | + | 2.59808i | 0.306186 | + | 0.530330i | ||||
\(25\) | −4.00000 | −0.800000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −1.00000 | − | 1.73205i | −0.188982 | − | 0.327327i | ||||
\(29\) | 0.500000 | + | 0.866025i | 0.0928477 | + | 0.160817i | 0.908708 | − | 0.417432i | \(-0.137070\pi\) |
−0.815861 | + | 0.578249i | \(0.803736\pi\) | |||||||
\(30\) | −0.500000 | + | 0.866025i | −0.0912871 | + | 0.158114i | ||||
\(31\) | −4.00000 | −0.718421 | −0.359211 | − | 0.933257i | \(-0.616954\pi\) | ||||
−0.359211 | + | 0.933257i | \(0.616954\pi\) | |||||||
\(32\) | 2.50000 | − | 4.33013i | 0.441942 | − | 0.765466i | ||||
\(33\) | 1.00000 | − | 1.73205i | 0.174078 | − | 0.301511i | ||||
\(34\) | 7.00000 | 1.20049 | ||||||||
\(35\) | 1.00000 | − | 1.73205i | 0.169031 | − | 0.292770i | ||||
\(36\) | 0.500000 | + | 0.866025i | 0.0833333 | + | 0.144338i | ||||
\(37\) | 0.500000 | + | 0.866025i | 0.0821995 | + | 0.142374i | 0.904194 | − | 0.427121i | \(-0.140472\pi\) |
−0.821995 | + | 0.569495i | \(0.807139\pi\) | |||||||
\(38\) | −6.00000 | −0.973329 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.00000 | 0.474342 | ||||||||
\(41\) | 4.50000 | + | 7.79423i | 0.702782 | + | 1.21725i | 0.967486 | + | 0.252924i | \(0.0813924\pi\) |
−0.264704 | + | 0.964330i | \(0.585274\pi\) | |||||||
\(42\) | 1.00000 | + | 1.73205i | 0.154303 | + | 0.267261i | ||||
\(43\) | −3.00000 | + | 5.19615i | −0.457496 | + | 0.792406i | −0.998828 | − | 0.0484030i | \(-0.984587\pi\) |
0.541332 | + | 0.840809i | \(0.317920\pi\) | |||||||
\(44\) | −2.00000 | −0.301511 | ||||||||
\(45\) | −0.500000 | + | 0.866025i | −0.0745356 | + | 0.129099i | ||||
\(46\) | −3.00000 | + | 5.19615i | −0.442326 | + | 0.766131i | ||||
\(47\) | −6.00000 | −0.875190 | −0.437595 | − | 0.899172i | \(-0.644170\pi\) | ||||
−0.437595 | + | 0.899172i | \(0.644170\pi\) | |||||||
\(48\) | −0.500000 | + | 0.866025i | −0.0721688 | + | 0.125000i | ||||
\(49\) | 1.50000 | + | 2.59808i | 0.214286 | + | 0.371154i | ||||
\(50\) | −2.00000 | − | 3.46410i | −0.282843 | − | 0.489898i | ||||
\(51\) | 7.00000 | 0.980196 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −9.00000 | −1.23625 | −0.618123 | − | 0.786082i | \(-0.712106\pi\) | ||||
−0.618123 | + | 0.786082i | \(0.712106\pi\) | |||||||
\(54\) | −0.500000 | − | 0.866025i | −0.0680414 | − | 0.117851i | ||||
\(55\) | −1.00000 | − | 1.73205i | −0.134840 | − | 0.233550i | ||||
\(56\) | 3.00000 | − | 5.19615i | 0.400892 | − | 0.694365i | ||||
\(57\) | −6.00000 | −0.794719 | ||||||||
\(58\) | −0.500000 | + | 0.866025i | −0.0656532 | + | 0.113715i | ||||
\(59\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(60\) | 1.00000 | 0.129099 | ||||||||
\(61\) | −0.500000 | + | 0.866025i | −0.0640184 | + | 0.110883i | −0.896258 | − | 0.443533i | \(-0.853725\pi\) |
0.832240 | + | 0.554416i | \(0.187058\pi\) | |||||||
\(62\) | −2.00000 | − | 3.46410i | −0.254000 | − | 0.439941i | ||||
\(63\) | 1.00000 | + | 1.73205i | 0.125988 | + | 0.218218i | ||||
\(64\) | 7.00000 | 0.875000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.00000 | 0.246183 | ||||||||
\(67\) | −1.00000 | − | 1.73205i | −0.122169 | − | 0.211604i | 0.798454 | − | 0.602056i | \(-0.205652\pi\) |
−0.920623 | + | 0.390453i | \(0.872318\pi\) | |||||||
\(68\) | −3.50000 | − | 6.06218i | −0.424437 | − | 0.735147i | ||||
\(69\) | −3.00000 | + | 5.19615i | −0.361158 | + | 0.625543i | ||||
\(70\) | 2.00000 | 0.239046 | ||||||||
\(71\) | 3.00000 | − | 5.19615i | 0.356034 | − | 0.616670i | −0.631260 | − | 0.775571i | \(-0.717462\pi\) |
0.987294 | + | 0.158901i | \(0.0507952\pi\) | |||||||
\(72\) | −1.50000 | + | 2.59808i | −0.176777 | + | 0.306186i | ||||
\(73\) | −11.0000 | −1.28745 | −0.643726 | − | 0.765256i | \(-0.722612\pi\) | ||||
−0.643726 | + | 0.765256i | \(0.722612\pi\) | |||||||
\(74\) | −0.500000 | + | 0.866025i | −0.0581238 | + | 0.100673i | ||||
\(75\) | −2.00000 | − | 3.46410i | −0.230940 | − | 0.400000i | ||||
\(76\) | 3.00000 | + | 5.19615i | 0.344124 | + | 0.596040i | ||||
\(77\) | −4.00000 | −0.455842 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.00000 | −0.450035 | −0.225018 | − | 0.974355i | \(-0.572244\pi\) | ||||
−0.225018 | + | 0.974355i | \(0.572244\pi\) | |||||||
\(80\) | 0.500000 | + | 0.866025i | 0.0559017 | + | 0.0968246i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −4.50000 | + | 7.79423i | −0.496942 | + | 0.860729i | ||||
\(83\) | 14.0000 | 1.53670 | 0.768350 | − | 0.640030i | \(-0.221078\pi\) | ||||
0.768350 | + | 0.640030i | \(0.221078\pi\) | |||||||
\(84\) | 1.00000 | − | 1.73205i | 0.109109 | − | 0.188982i | ||||
\(85\) | 3.50000 | − | 6.06218i | 0.379628 | − | 0.657536i | ||||
\(86\) | −6.00000 | −0.646997 | ||||||||
\(87\) | −0.500000 | + | 0.866025i | −0.0536056 | + | 0.0928477i | ||||
\(88\) | −3.00000 | − | 5.19615i | −0.319801 | − | 0.553912i | ||||
\(89\) | −7.00000 | − | 12.1244i | −0.741999 | − | 1.28518i | −0.951584 | − | 0.307389i | \(-0.900545\pi\) |
0.209585 | − | 0.977790i | \(-0.432789\pi\) | |||||||
\(90\) | −1.00000 | −0.105409 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 6.00000 | 0.625543 | ||||||||
\(93\) | −2.00000 | − | 3.46410i | −0.207390 | − | 0.359211i | ||||
\(94\) | −3.00000 | − | 5.19615i | −0.309426 | − | 0.535942i | ||||
\(95\) | −3.00000 | + | 5.19615i | −0.307794 | + | 0.533114i | ||||
\(96\) | 5.00000 | 0.510310 | ||||||||
\(97\) | −1.00000 | + | 1.73205i | −0.101535 | + | 0.175863i | −0.912317 | − | 0.409484i | \(-0.865709\pi\) |
0.810782 | + | 0.585348i | \(0.199042\pi\) | |||||||
\(98\) | −1.50000 | + | 2.59808i | −0.151523 | + | 0.262445i | ||||
\(99\) | 2.00000 | 0.201008 | ||||||||
\(100\) | −2.00000 | + | 3.46410i | −0.200000 | + | 0.346410i | ||||
\(101\) | −1.50000 | − | 2.59808i | −0.149256 | − | 0.258518i | 0.781697 | − | 0.623658i | \(-0.214354\pi\) |
−0.930953 | + | 0.365140i | \(0.881021\pi\) | |||||||
\(102\) | 3.50000 | + | 6.06218i | 0.346552 | + | 0.600245i | ||||
\(103\) | 6.00000 | 0.591198 | 0.295599 | − | 0.955312i | \(-0.404481\pi\) | ||||
0.295599 | + | 0.955312i | \(0.404481\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.00000 | 0.195180 | ||||||||
\(106\) | −4.50000 | − | 7.79423i | −0.437079 | − | 0.757042i | ||||
\(107\) | 3.00000 | + | 5.19615i | 0.290021 | + | 0.502331i | 0.973814 | − | 0.227345i | \(-0.0730044\pi\) |
−0.683793 | + | 0.729676i | \(0.739671\pi\) | |||||||
\(108\) | −0.500000 | + | 0.866025i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | 2.00000 | 0.191565 | 0.0957826 | − | 0.995402i | \(-0.469465\pi\) | ||||
0.0957826 | + | 0.995402i | \(0.469465\pi\) | |||||||
\(110\) | 1.00000 | − | 1.73205i | 0.0953463 | − | 0.165145i | ||||
\(111\) | −0.500000 | + | 0.866025i | −0.0474579 | + | 0.0821995i | ||||
\(112\) | 2.00000 | 0.188982 | ||||||||
\(113\) | 7.50000 | − | 12.9904i | 0.705541 | − | 1.22203i | −0.260955 | − | 0.965351i | \(-0.584038\pi\) |
0.966496 | − | 0.256681i | \(-0.0826291\pi\) | |||||||
\(114\) | −3.00000 | − | 5.19615i | −0.280976 | − | 0.486664i | ||||
\(115\) | 3.00000 | + | 5.19615i | 0.279751 | + | 0.484544i | ||||
\(116\) | 1.00000 | 0.0928477 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −7.00000 | − | 12.1244i | −0.641689 | − | 1.11144i | ||||
\(120\) | 1.50000 | + | 2.59808i | 0.136931 | + | 0.237171i | ||||
\(121\) | 3.50000 | − | 6.06218i | 0.318182 | − | 0.551107i | ||||
\(122\) | −1.00000 | −0.0905357 | ||||||||
\(123\) | −4.50000 | + | 7.79423i | −0.405751 | + | 0.702782i | ||||
\(124\) | −2.00000 | + | 3.46410i | −0.179605 | + | 0.311086i | ||||
\(125\) | −9.00000 | −0.804984 | ||||||||
\(126\) | −1.00000 | + | 1.73205i | −0.0890871 | + | 0.154303i | ||||
\(127\) | −10.0000 | − | 17.3205i | −0.887357 | − | 1.53695i | −0.842989 | − | 0.537931i | \(-0.819206\pi\) |
−0.0443678 | − | 0.999015i | \(-0.514127\pi\) | |||||||
\(128\) | −1.50000 | − | 2.59808i | −0.132583 | − | 0.229640i | ||||
\(129\) | −6.00000 | −0.528271 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −8.00000 | −0.698963 | −0.349482 | − | 0.936943i | \(-0.613642\pi\) | ||||
−0.349482 | + | 0.936943i | \(0.613642\pi\) | |||||||
\(132\) | −1.00000 | − | 1.73205i | −0.0870388 | − | 0.150756i | ||||
\(133\) | 6.00000 | + | 10.3923i | 0.520266 | + | 0.901127i | ||||
\(134\) | 1.00000 | − | 1.73205i | 0.0863868 | − | 0.149626i | ||||
\(135\) | −1.00000 | −0.0860663 | ||||||||
\(136\) | 10.5000 | − | 18.1865i | 0.900368 | − | 1.55948i | ||||
\(137\) | −1.50000 | + | 2.59808i | −0.128154 | + | 0.221969i | −0.922961 | − | 0.384893i | \(-0.874238\pi\) |
0.794808 | + | 0.606861i | \(0.207572\pi\) | |||||||
\(138\) | −6.00000 | −0.510754 | ||||||||
\(139\) | −6.00000 | + | 10.3923i | −0.508913 | + | 0.881464i | 0.491033 | + | 0.871141i | \(0.336619\pi\) |
−0.999947 | + | 0.0103230i | \(0.996714\pi\) | |||||||
\(140\) | −1.00000 | − | 1.73205i | −0.0845154 | − | 0.146385i | ||||
\(141\) | −3.00000 | − | 5.19615i | −0.252646 | − | 0.437595i | ||||
\(142\) | 6.00000 | 0.503509 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | 0.500000 | + | 0.866025i | 0.0415227 | + | 0.0719195i | ||||
\(146\) | −5.50000 | − | 9.52628i | −0.455183 | − | 0.788400i | ||||
\(147\) | −1.50000 | + | 2.59808i | −0.123718 | + | 0.214286i | ||||
\(148\) | 1.00000 | 0.0821995 | ||||||||
\(149\) | 1.50000 | − | 2.59808i | 0.122885 | − | 0.212843i | −0.798019 | − | 0.602632i | \(-0.794119\pi\) |
0.920904 | + | 0.389789i | \(0.127452\pi\) | |||||||
\(150\) | 2.00000 | − | 3.46410i | 0.163299 | − | 0.282843i | ||||
\(151\) | 2.00000 | 0.162758 | 0.0813788 | − | 0.996683i | \(-0.474068\pi\) | ||||
0.0813788 | + | 0.996683i | \(0.474068\pi\) | |||||||
\(152\) | −9.00000 | + | 15.5885i | −0.729996 | + | 1.26439i | ||||
\(153\) | 3.50000 | + | 6.06218i | 0.282958 | + | 0.490098i | ||||
\(154\) | −2.00000 | − | 3.46410i | −0.161165 | − | 0.279145i | ||||
\(155\) | −4.00000 | −0.321288 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.00000 | −0.239426 | −0.119713 | − | 0.992809i | \(-0.538197\pi\) | ||||
−0.119713 | + | 0.992809i | \(0.538197\pi\) | |||||||
\(158\) | −2.00000 | − | 3.46410i | −0.159111 | − | 0.275589i | ||||
\(159\) | −4.50000 | − | 7.79423i | −0.356873 | − | 0.618123i | ||||
\(160\) | 2.50000 | − | 4.33013i | 0.197642 | − | 0.342327i | ||||
\(161\) | 12.0000 | 0.945732 | ||||||||
\(162\) | 0.500000 | − | 0.866025i | 0.0392837 | − | 0.0680414i | ||||
\(163\) | −2.00000 | + | 3.46410i | −0.156652 | + | 0.271329i | −0.933659 | − | 0.358162i | \(-0.883403\pi\) |
0.777007 | + | 0.629492i | \(0.216737\pi\) | |||||||
\(164\) | 9.00000 | 0.702782 | ||||||||
\(165\) | 1.00000 | − | 1.73205i | 0.0778499 | − | 0.134840i | ||||
\(166\) | 7.00000 | + | 12.1244i | 0.543305 | + | 0.941033i | ||||
\(167\) | 8.00000 | + | 13.8564i | 0.619059 | + | 1.07224i | 0.989658 | + | 0.143448i | \(0.0458190\pi\) |
−0.370599 | + | 0.928793i | \(0.620848\pi\) | |||||||
\(168\) | 6.00000 | 0.462910 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 7.00000 | 0.536875 | ||||||||
\(171\) | −3.00000 | − | 5.19615i | −0.229416 | − | 0.397360i | ||||
\(172\) | 3.00000 | + | 5.19615i | 0.228748 | + | 0.396203i | ||||
\(173\) | 3.00000 | − | 5.19615i | 0.228086 | − | 0.395056i | −0.729155 | − | 0.684349i | \(-0.760087\pi\) |
0.957241 | + | 0.289292i | \(0.0934200\pi\) | |||||||
\(174\) | −1.00000 | −0.0758098 | ||||||||
\(175\) | −4.00000 | + | 6.92820i | −0.302372 | + | 0.523723i | ||||
\(176\) | 1.00000 | − | 1.73205i | 0.0753778 | − | 0.130558i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.00000 | − | 12.1244i | 0.524672 | − | 0.908759i | ||||
\(179\) | 1.00000 | + | 1.73205i | 0.0747435 | + | 0.129460i | 0.900975 | − | 0.433872i | \(-0.142853\pi\) |
−0.826231 | + | 0.563331i | \(0.809520\pi\) | |||||||
\(180\) | 0.500000 | + | 0.866025i | 0.0372678 | + | 0.0645497i | ||||
\(181\) | −7.00000 | −0.520306 | −0.260153 | − | 0.965567i | \(-0.583773\pi\) | ||||
−0.260153 | + | 0.965567i | \(0.583773\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.00000 | −0.0739221 | ||||||||
\(184\) | 9.00000 | + | 15.5885i | 0.663489 | + | 1.14920i | ||||
\(185\) | 0.500000 | + | 0.866025i | 0.0367607 | + | 0.0636715i | ||||
\(186\) | 2.00000 | − | 3.46410i | 0.146647 | − | 0.254000i | ||||
\(187\) | −14.0000 | −1.02378 | ||||||||
\(188\) | −3.00000 | + | 5.19615i | −0.218797 | + | 0.378968i | ||||
\(189\) | −1.00000 | + | 1.73205i | −0.0727393 | + | 0.125988i | ||||
\(190\) | −6.00000 | −0.435286 | ||||||||
\(191\) | 2.00000 | − | 3.46410i | 0.144715 | − | 0.250654i | −0.784552 | − | 0.620063i | \(-0.787107\pi\) |
0.929267 | + | 0.369410i | \(0.120440\pi\) | |||||||
\(192\) | 3.50000 | + | 6.06218i | 0.252591 | + | 0.437500i | ||||
\(193\) | −4.50000 | − | 7.79423i | −0.323917 | − | 0.561041i | 0.657376 | − | 0.753563i | \(-0.271667\pi\) |
−0.981293 | + | 0.192522i | \(0.938333\pi\) | |||||||
\(194\) | −2.00000 | −0.143592 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.00000 | 0.214286 | ||||||||
\(197\) | 3.00000 | + | 5.19615i | 0.213741 | + | 0.370211i | 0.952882 | − | 0.303340i | \(-0.0981018\pi\) |
−0.739141 | + | 0.673550i | \(0.764768\pi\) | |||||||
\(198\) | 1.00000 | + | 1.73205i | 0.0710669 | + | 0.123091i | ||||
\(199\) | −7.00000 | + | 12.1244i | −0.496217 | + | 0.859473i | −0.999990 | − | 0.00436292i | \(-0.998611\pi\) |
0.503774 | + | 0.863836i | \(0.331945\pi\) | |||||||
\(200\) | −12.0000 | −0.848528 | ||||||||
\(201\) | 1.00000 | − | 1.73205i | 0.0705346 | − | 0.122169i | ||||
\(202\) | 1.50000 | − | 2.59808i | 0.105540 | − | 0.182800i | ||||
\(203\) | 2.00000 | 0.140372 | ||||||||
\(204\) | 3.50000 | − | 6.06218i | 0.245049 | − | 0.424437i | ||||
\(205\) | 4.50000 | + | 7.79423i | 0.314294 | + | 0.544373i | ||||
\(206\) | 3.00000 | + | 5.19615i | 0.209020 | + | 0.362033i | ||||
\(207\) | −6.00000 | −0.417029 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 12.0000 | 0.830057 | ||||||||
\(210\) | 1.00000 | + | 1.73205i | 0.0690066 | + | 0.119523i | ||||
\(211\) | 4.00000 | + | 6.92820i | 0.275371 | + | 0.476957i | 0.970229 | − | 0.242190i | \(-0.0778659\pi\) |
−0.694857 | + | 0.719148i | \(0.744533\pi\) | |||||||
\(212\) | −4.50000 | + | 7.79423i | −0.309061 | + | 0.535310i | ||||
\(213\) | 6.00000 | 0.411113 | ||||||||
\(214\) | −3.00000 | + | 5.19615i | −0.205076 | + | 0.355202i | ||||
\(215\) | −3.00000 | + | 5.19615i | −0.204598 | + | 0.354375i | ||||
\(216\) | −3.00000 | −0.204124 | ||||||||
\(217\) | −4.00000 | + | 6.92820i | −0.271538 | + | 0.470317i | ||||
\(218\) | 1.00000 | + | 1.73205i | 0.0677285 | + | 0.117309i | ||||
\(219\) | −5.50000 | − | 9.52628i | −0.371656 | − | 0.643726i | ||||
\(220\) | −2.00000 | −0.134840 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −1.00000 | −0.0671156 | ||||||||
\(223\) | 8.00000 | + | 13.8564i | 0.535720 | + | 0.927894i | 0.999128 | + | 0.0417488i | \(0.0132929\pi\) |
−0.463409 | + | 0.886145i | \(0.653374\pi\) | |||||||
\(224\) | −5.00000 | − | 8.66025i | −0.334077 | − | 0.578638i | ||||
\(225\) | 2.00000 | − | 3.46410i | 0.133333 | − | 0.230940i | ||||
\(226\) | 15.0000 | 0.997785 | ||||||||
\(227\) | −7.00000 | + | 12.1244i | −0.464606 | + | 0.804722i | −0.999184 | − | 0.0403978i | \(-0.987137\pi\) |
0.534577 | + | 0.845120i | \(0.320471\pi\) | |||||||
\(228\) | −3.00000 | + | 5.19615i | −0.198680 | + | 0.344124i | ||||
\(229\) | 22.0000 | 1.45380 | 0.726900 | − | 0.686743i | \(-0.240960\pi\) | ||||
0.726900 | + | 0.686743i | \(0.240960\pi\) | |||||||
\(230\) | −3.00000 | + | 5.19615i | −0.197814 | + | 0.342624i | ||||
\(231\) | −2.00000 | − | 3.46410i | −0.131590 | − | 0.227921i | ||||
\(232\) | 1.50000 | + | 2.59808i | 0.0984798 | + | 0.170572i | ||||
\(233\) | 10.0000 | 0.655122 | 0.327561 | − | 0.944830i | \(-0.393773\pi\) | ||||
0.327561 | + | 0.944830i | \(0.393773\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −6.00000 | −0.391397 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.00000 | − | 3.46410i | −0.129914 | − | 0.225018i | ||||
\(238\) | 7.00000 | − | 12.1244i | 0.453743 | − | 0.785905i | ||||
\(239\) | −30.0000 | −1.94054 | −0.970269 | − | 0.242028i | \(-0.922188\pi\) | ||||
−0.970269 | + | 0.242028i | \(0.922188\pi\) | |||||||
\(240\) | −0.500000 | + | 0.866025i | −0.0322749 | + | 0.0559017i | ||||
\(241\) | 3.50000 | − | 6.06218i | 0.225455 | − | 0.390499i | −0.731001 | − | 0.682376i | \(-0.760947\pi\) |
0.956456 | + | 0.291877i | \(0.0942799\pi\) | |||||||
\(242\) | 7.00000 | 0.449977 | ||||||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | 0.500000 | + | 0.866025i | 0.0320092 | + | 0.0554416i | ||||
\(245\) | 1.50000 | + | 2.59808i | 0.0958315 | + | 0.165985i | ||||
\(246\) | −9.00000 | −0.573819 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −12.0000 | −0.762001 | ||||||||
\(249\) | 7.00000 | + | 12.1244i | 0.443607 | + | 0.768350i | ||||
\(250\) | −4.50000 | − | 7.79423i | −0.284605 | − | 0.492950i | ||||
\(251\) | −6.00000 | + | 10.3923i | −0.378717 | + | 0.655956i | −0.990876 | − | 0.134778i | \(-0.956968\pi\) |
0.612159 | + | 0.790735i | \(0.290301\pi\) | |||||||
\(252\) | 2.00000 | 0.125988 | ||||||||
\(253\) | 6.00000 | − | 10.3923i | 0.377217 | − | 0.653359i | ||||
\(254\) | 10.0000 | − | 17.3205i | 0.627456 | − | 1.08679i | ||||
\(255\) | 7.00000 | 0.438357 | ||||||||
\(256\) | 8.50000 | − | 14.7224i | 0.531250 | − | 0.920152i | ||||
\(257\) | 3.50000 | + | 6.06218i | 0.218324 | + | 0.378148i | 0.954296 | − | 0.298864i | \(-0.0966077\pi\) |
−0.735972 | + | 0.677012i | \(0.763274\pi\) | |||||||
\(258\) | −3.00000 | − | 5.19615i | −0.186772 | − | 0.323498i | ||||
\(259\) | 2.00000 | 0.124274 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.00000 | −0.0618984 | ||||||||
\(262\) | −4.00000 | − | 6.92820i | −0.247121 | − | 0.428026i | ||||
\(263\) | 15.0000 | + | 25.9808i | 0.924940 | + | 1.60204i | 0.791658 | + | 0.610964i | \(0.209218\pi\) |
0.133281 | + | 0.991078i | \(0.457449\pi\) | |||||||
\(264\) | 3.00000 | − | 5.19615i | 0.184637 | − | 0.319801i | ||||
\(265\) | −9.00000 | −0.552866 | ||||||||
\(266\) | −6.00000 | + | 10.3923i | −0.367884 | + | 0.637193i | ||||
\(267\) | 7.00000 | − | 12.1244i | 0.428393 | − | 0.741999i | ||||
\(268\) | −2.00000 | −0.122169 | ||||||||
\(269\) | 7.00000 | − | 12.1244i | 0.426798 | − | 0.739235i | −0.569789 | − | 0.821791i | \(-0.692975\pi\) |
0.996586 | + | 0.0825561i | \(0.0263084\pi\) | |||||||
\(270\) | −0.500000 | − | 0.866025i | −0.0304290 | − | 0.0527046i | ||||
\(271\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(272\) | 7.00000 | 0.424437 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.00000 | −0.181237 | ||||||||
\(275\) | 4.00000 | + | 6.92820i | 0.241209 | + | 0.417786i | ||||
\(276\) | 3.00000 | + | 5.19615i | 0.180579 | + | 0.312772i | ||||
\(277\) | 15.5000 | − | 26.8468i | 0.931305 | − | 1.61307i | 0.150210 | − | 0.988654i | \(-0.452005\pi\) |
0.781094 | − | 0.624413i | \(-0.214662\pi\) | |||||||
\(278\) | −12.0000 | −0.719712 | ||||||||
\(279\) | 2.00000 | − | 3.46410i | 0.119737 | − | 0.207390i | ||||
\(280\) | 3.00000 | − | 5.19615i | 0.179284 | − | 0.310530i | ||||
\(281\) | 19.0000 | 1.13344 | 0.566722 | − | 0.823909i | \(-0.308211\pi\) | ||||
0.566722 | + | 0.823909i | \(0.308211\pi\) | |||||||
\(282\) | 3.00000 | − | 5.19615i | 0.178647 | − | 0.309426i | ||||
\(283\) | 9.00000 | + | 15.5885i | 0.534994 | + | 0.926638i | 0.999164 | + | 0.0408910i | \(0.0130196\pi\) |
−0.464169 | + | 0.885747i | \(0.653647\pi\) | |||||||
\(284\) | −3.00000 | − | 5.19615i | −0.178017 | − | 0.308335i | ||||
\(285\) | −6.00000 | −0.355409 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 18.0000 | 1.06251 | ||||||||
\(288\) | 2.50000 | + | 4.33013i | 0.147314 | + | 0.255155i | ||||
\(289\) | −16.0000 | − | 27.7128i | −0.941176 | − | 1.63017i | ||||
\(290\) | −0.500000 | + | 0.866025i | −0.0293610 | + | 0.0508548i | ||||
\(291\) | −2.00000 | −0.117242 | ||||||||
\(292\) | −5.50000 | + | 9.52628i | −0.321863 | + | 0.557483i | ||||
\(293\) | −4.50000 | + | 7.79423i | −0.262893 | + | 0.455344i | −0.967009 | − | 0.254741i | \(-0.918010\pi\) |
0.704117 | + | 0.710084i | \(0.251343\pi\) | |||||||
\(294\) | −3.00000 | −0.174964 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.50000 | + | 2.59808i | 0.0871857 | + | 0.151010i | ||||
\(297\) | 1.00000 | + | 1.73205i | 0.0580259 | + | 0.100504i | ||||
\(298\) | 3.00000 | 0.173785 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −4.00000 | −0.230940 | ||||||||
\(301\) | 6.00000 | + | 10.3923i | 0.345834 | + | 0.599002i | ||||
\(302\) | 1.00000 | + | 1.73205i | 0.0575435 | + | 0.0996683i | ||||
\(303\) | 1.50000 | − | 2.59808i | 0.0861727 | − | 0.149256i | ||||
\(304\) | −6.00000 | −0.344124 | ||||||||
\(305\) | −0.500000 | + | 0.866025i | −0.0286299 | + | 0.0495885i | ||||
\(306\) | −3.50000 | + | 6.06218i | −0.200082 | + | 0.346552i | ||||
\(307\) | −14.0000 | −0.799022 | −0.399511 | − | 0.916728i | \(-0.630820\pi\) | ||||
−0.399511 | + | 0.916728i | \(0.630820\pi\) | |||||||
\(308\) | −2.00000 | + | 3.46410i | −0.113961 | + | 0.197386i | ||||
\(309\) | 3.00000 | + | 5.19615i | 0.170664 | + | 0.295599i | ||||
\(310\) | −2.00000 | − | 3.46410i | −0.113592 | − | 0.196748i | ||||
\(311\) | 18.0000 | 1.02069 | 0.510343 | − | 0.859971i | \(-0.329518\pi\) | ||||
0.510343 | + | 0.859971i | \(0.329518\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.00000 | 0.339140 | 0.169570 | − | 0.985518i | \(-0.445762\pi\) | ||||
0.169570 | + | 0.985518i | \(0.445762\pi\) | |||||||
\(314\) | −1.50000 | − | 2.59808i | −0.0846499 | − | 0.146618i | ||||
\(315\) | 1.00000 | + | 1.73205i | 0.0563436 | + | 0.0975900i | ||||
\(316\) | −2.00000 | + | 3.46410i | −0.112509 | + | 0.194871i | ||||
\(317\) | 25.0000 | 1.40414 | 0.702070 | − | 0.712108i | \(-0.252259\pi\) | ||||
0.702070 | + | 0.712108i | \(0.252259\pi\) | |||||||
\(318\) | 4.50000 | − | 7.79423i | 0.252347 | − | 0.437079i | ||||
\(319\) | 1.00000 | − | 1.73205i | 0.0559893 | − | 0.0969762i | ||||
\(320\) | 7.00000 | 0.391312 | ||||||||
\(321\) | −3.00000 | + | 5.19615i | −0.167444 | + | 0.290021i | ||||
\(322\) | 6.00000 | + | 10.3923i | 0.334367 | + | 0.579141i | ||||
\(323\) | 21.0000 | + | 36.3731i | 1.16847 | + | 2.02385i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −4.00000 | −0.221540 | ||||||||
\(327\) | 1.00000 | + | 1.73205i | 0.0553001 | + | 0.0957826i | ||||
\(328\) | 13.5000 | + | 23.3827i | 0.745413 | + | 1.29109i | ||||
\(329\) | −6.00000 | + | 10.3923i | −0.330791 | + | 0.572946i | ||||
\(330\) | 2.00000 | 0.110096 | ||||||||
\(331\) | −2.00000 | + | 3.46410i | −0.109930 | + | 0.190404i | −0.915742 | − | 0.401768i | \(-0.868396\pi\) |
0.805812 | + | 0.592172i | \(0.201729\pi\) | |||||||
\(332\) | 7.00000 | − | 12.1244i | 0.384175 | − | 0.665410i | ||||
\(333\) | −1.00000 | −0.0547997 | ||||||||
\(334\) | −8.00000 | + | 13.8564i | −0.437741 | + | 0.758189i | ||||
\(335\) | −1.00000 | − | 1.73205i | −0.0546358 | − | 0.0946320i | ||||
\(336\) | 1.00000 | + | 1.73205i | 0.0545545 | + | 0.0944911i | ||||
\(337\) | −33.0000 | −1.79762 | −0.898812 | − | 0.438334i | \(-0.855569\pi\) | ||||
−0.898812 | + | 0.438334i | \(0.855569\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 15.0000 | 0.814688 | ||||||||
\(340\) | −3.50000 | − | 6.06218i | −0.189814 | − | 0.328768i | ||||
\(341\) | 4.00000 | + | 6.92820i | 0.216612 | + | 0.375183i | ||||
\(342\) | 3.00000 | − | 5.19615i | 0.162221 | − | 0.280976i | ||||
\(343\) | 20.0000 | 1.07990 | ||||||||
\(344\) | −9.00000 | + | 15.5885i | −0.485247 | + | 0.840473i | ||||
\(345\) | −3.00000 | + | 5.19615i | −0.161515 | + | 0.279751i | ||||
\(346\) | 6.00000 | 0.322562 | ||||||||
\(347\) | −9.00000 | + | 15.5885i | −0.483145 | + | 0.836832i | −0.999813 | − | 0.0193540i | \(-0.993839\pi\) |
0.516667 | + | 0.856186i | \(0.327172\pi\) | |||||||
\(348\) | 0.500000 | + | 0.866025i | 0.0268028 | + | 0.0464238i | ||||
\(349\) | −13.0000 | − | 22.5167i | −0.695874 | − | 1.20529i | −0.969885 | − | 0.243563i | \(-0.921684\pi\) |
0.274011 | − | 0.961727i | \(-0.411649\pi\) | |||||||
\(350\) | −8.00000 | −0.427618 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −10.0000 | −0.533002 | ||||||||
\(353\) | −5.50000 | − | 9.52628i | −0.292735 | − | 0.507033i | 0.681720 | − | 0.731613i | \(-0.261232\pi\) |
−0.974456 | + | 0.224580i | \(0.927899\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.00000 | − | 5.19615i | 0.159223 | − | 0.275783i | ||||
\(356\) | −14.0000 | −0.741999 | ||||||||
\(357\) | 7.00000 | − | 12.1244i | 0.370479 | − | 0.641689i | ||||
\(358\) | −1.00000 | + | 1.73205i | −0.0528516 | + | 0.0915417i | ||||
\(359\) | 18.0000 | 0.950004 | 0.475002 | − | 0.879985i | \(-0.342447\pi\) | ||||
0.475002 | + | 0.879985i | \(0.342447\pi\) | |||||||
\(360\) | −1.50000 | + | 2.59808i | −0.0790569 | + | 0.136931i | ||||
\(361\) | −8.50000 | − | 14.7224i | −0.447368 | − | 0.774865i | ||||
\(362\) | −3.50000 | − | 6.06218i | −0.183956 | − | 0.318621i | ||||
\(363\) | 7.00000 | 0.367405 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −11.0000 | −0.575766 | ||||||||
\(366\) | −0.500000 | − | 0.866025i | −0.0261354 | − | 0.0452679i | ||||
\(367\) | −5.00000 | − | 8.66025i | −0.260998 | − | 0.452062i | 0.705509 | − | 0.708700i | \(-0.250718\pi\) |
−0.966507 | + | 0.256639i | \(0.917385\pi\) | |||||||
\(368\) | −3.00000 | + | 5.19615i | −0.156386 | + | 0.270868i | ||||
\(369\) | −9.00000 | −0.468521 | ||||||||
\(370\) | −0.500000 | + | 0.866025i | −0.0259938 | + | 0.0450225i | ||||
\(371\) | −9.00000 | + | 15.5885i | −0.467257 | + | 0.809312i | ||||
\(372\) | −4.00000 | −0.207390 | ||||||||
\(373\) | 5.50000 | − | 9.52628i | 0.284779 | − | 0.493252i | −0.687776 | − | 0.725923i | \(-0.741413\pi\) |
0.972556 | + | 0.232671i | \(0.0747464\pi\) | |||||||
\(374\) | −7.00000 | − | 12.1244i | −0.361961 | − | 0.626936i | ||||
\(375\) | −4.50000 | − | 7.79423i | −0.232379 | − | 0.402492i | ||||
\(376\) | −18.0000 | −0.928279 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −2.00000 | −0.102869 | ||||||||
\(379\) | −18.0000 | − | 31.1769i | −0.924598 | − | 1.60145i | −0.792207 | − | 0.610253i | \(-0.791068\pi\) |
−0.132391 | − | 0.991198i | \(-0.542266\pi\) | |||||||
\(380\) | 3.00000 | + | 5.19615i | 0.153897 | + | 0.266557i | ||||
\(381\) | 10.0000 | − | 17.3205i | 0.512316 | − | 0.887357i | ||||
\(382\) | 4.00000 | 0.204658 | ||||||||
\(383\) | 4.00000 | − | 6.92820i | 0.204390 | − | 0.354015i | −0.745548 | − | 0.666452i | \(-0.767812\pi\) |
0.949938 | + | 0.312437i | \(0.101145\pi\) | |||||||
\(384\) | 1.50000 | − | 2.59808i | 0.0765466 | − | 0.132583i | ||||
\(385\) | −4.00000 | −0.203859 | ||||||||
\(386\) | 4.50000 | − | 7.79423i | 0.229044 | − | 0.396716i | ||||
\(387\) | −3.00000 | − | 5.19615i | −0.152499 | − | 0.264135i | ||||
\(388\) | 1.00000 | + | 1.73205i | 0.0507673 | + | 0.0879316i | ||||
\(389\) | 19.0000 | 0.963338 | 0.481669 | − | 0.876353i | \(-0.340031\pi\) | ||||
0.481669 | + | 0.876353i | \(0.340031\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 42.0000 | 2.12403 | ||||||||
\(392\) | 4.50000 | + | 7.79423i | 0.227284 | + | 0.393668i | ||||
\(393\) | −4.00000 | − | 6.92820i | −0.201773 | − | 0.349482i | ||||
\(394\) | −3.00000 | + | 5.19615i | −0.151138 | + | 0.261778i | ||||
\(395\) | −4.00000 | −0.201262 | ||||||||
\(396\) | 1.00000 | − | 1.73205i | 0.0502519 | − | 0.0870388i | ||||
\(397\) | −17.0000 | + | 29.4449i | −0.853206 | + | 1.47780i | 0.0250943 | + | 0.999685i | \(0.492011\pi\) |
−0.878300 | + | 0.478110i | \(0.841322\pi\) | |||||||
\(398\) | −14.0000 | −0.701757 | ||||||||
\(399\) | −6.00000 | + | 10.3923i | −0.300376 | + | 0.520266i | ||||
\(400\) | −2.00000 | − | 3.46410i | −0.100000 | − | 0.173205i | ||||
\(401\) | 0.500000 | + | 0.866025i | 0.0249688 | + | 0.0432472i | 0.878240 | − | 0.478220i | \(-0.158718\pi\) |
−0.853271 | + | 0.521468i | \(0.825385\pi\) | |||||||
\(402\) | 2.00000 | 0.0997509 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −3.00000 | −0.149256 | ||||||||
\(405\) | −0.500000 | − | 0.866025i | −0.0248452 | − | 0.0430331i | ||||
\(406\) | 1.00000 | + | 1.73205i | 0.0496292 | + | 0.0859602i | ||||
\(407\) | 1.00000 | − | 1.73205i | 0.0495682 | − | 0.0858546i | ||||
\(408\) | 21.0000 | 1.03965 | ||||||||
\(409\) | 3.50000 | − | 6.06218i | 0.173064 | − | 0.299755i | −0.766426 | − | 0.642333i | \(-0.777967\pi\) |
0.939490 | + | 0.342578i | \(0.111300\pi\) | |||||||
\(410\) | −4.50000 | + | 7.79423i | −0.222239 | + | 0.384930i | ||||
\(411\) | −3.00000 | −0.147979 | ||||||||
\(412\) | 3.00000 | − | 5.19615i | 0.147799 | − | 0.255996i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −3.00000 | − | 5.19615i | −0.147442 | − | 0.255377i | ||||
\(415\) | 14.0000 | 0.687233 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −12.0000 | −0.587643 | ||||||||
\(418\) | 6.00000 | + | 10.3923i | 0.293470 | + | 0.508304i | ||||
\(419\) | −8.00000 | − | 13.8564i | −0.390826 | − | 0.676930i | 0.601733 | − | 0.798697i | \(-0.294477\pi\) |
−0.992559 | + | 0.121768i | \(0.961144\pi\) | |||||||
\(420\) | 1.00000 | − | 1.73205i | 0.0487950 | − | 0.0845154i | ||||
\(421\) | 19.0000 | 0.926003 | 0.463002 | − | 0.886357i | \(-0.346772\pi\) | ||||
0.463002 | + | 0.886357i | \(0.346772\pi\) | |||||||
\(422\) | −4.00000 | + | 6.92820i | −0.194717 | + | 0.337260i | ||||
\(423\) | 3.00000 | − | 5.19615i | 0.145865 | − | 0.252646i | ||||
\(424\) | −27.0000 | −1.31124 | ||||||||
\(425\) | −14.0000 | + | 24.2487i | −0.679100 | + | 1.17624i | ||||
\(426\) | 3.00000 | + | 5.19615i | 0.145350 | + | 0.251754i | ||||
\(427\) | 1.00000 | + | 1.73205i | 0.0483934 | + | 0.0838198i | ||||
\(428\) | 6.00000 | 0.290021 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6.00000 | −0.289346 | ||||||||
\(431\) | −15.0000 | − | 25.9808i | −0.722525 | − | 1.25145i | −0.959985 | − | 0.280052i | \(-0.909648\pi\) |
0.237460 | − | 0.971397i | \(-0.423685\pi\) | |||||||
\(432\) | −0.500000 | − | 0.866025i | −0.0240563 | − | 0.0416667i | ||||
\(433\) | −9.50000 | + | 16.4545i | −0.456541 | + | 0.790752i | −0.998775 | − | 0.0494752i | \(-0.984245\pi\) |
0.542234 | + | 0.840227i | \(0.317578\pi\) | |||||||
\(434\) | −8.00000 | −0.384012 | ||||||||
\(435\) | −0.500000 | + | 0.866025i | −0.0239732 | + | 0.0415227i | ||||
\(436\) | 1.00000 | − | 1.73205i | 0.0478913 | − | 0.0829502i | ||||
\(437\) | −36.0000 | −1.72211 | ||||||||
\(438\) | 5.50000 | − | 9.52628i | 0.262800 | − | 0.455183i | ||||
\(439\) | −7.00000 | − | 12.1244i | −0.334092 | − | 0.578664i | 0.649218 | − | 0.760602i | \(-0.275096\pi\) |
−0.983310 | + | 0.181938i | \(0.941763\pi\) | |||||||
\(440\) | −3.00000 | − | 5.19615i | −0.143019 | − | 0.247717i | ||||
\(441\) | −3.00000 | −0.142857 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −4.00000 | −0.190046 | −0.0950229 | − | 0.995475i | \(-0.530292\pi\) | ||||
−0.0950229 | + | 0.995475i | \(0.530292\pi\) | |||||||
\(444\) | 0.500000 | + | 0.866025i | 0.0237289 | + | 0.0410997i | ||||
\(445\) | −7.00000 | − | 12.1244i | −0.331832 | − | 0.574750i | ||||
\(446\) | −8.00000 | + | 13.8564i | −0.378811 | + | 0.656120i | ||||
\(447\) | 3.00000 | 0.141895 | ||||||||
\(448\) | 7.00000 | − | 12.1244i | 0.330719 | − | 0.572822i | ||||
\(449\) | 17.0000 | − | 29.4449i | 0.802280 | − | 1.38959i | −0.115833 | − | 0.993269i | \(-0.536954\pi\) |
0.918112 | − | 0.396320i | \(-0.129713\pi\) | |||||||
\(450\) | 4.00000 | 0.188562 | ||||||||
\(451\) | 9.00000 | − | 15.5885i | 0.423793 | − | 0.734032i | ||||
\(452\) | −7.50000 | − | 12.9904i | −0.352770 | − | 0.611016i | ||||
\(453\) | 1.00000 | + | 1.73205i | 0.0469841 | + | 0.0813788i | ||||
\(454\) | −14.0000 | −0.657053 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −18.0000 | −0.842927 | ||||||||
\(457\) | −6.50000 | − | 11.2583i | −0.304057 | − | 0.526642i | 0.672994 | − | 0.739648i | \(-0.265008\pi\) |
−0.977051 | + | 0.213006i | \(0.931675\pi\) | |||||||
\(458\) | 11.0000 | + | 19.0526i | 0.513996 | + | 0.890268i | ||||
\(459\) | −3.50000 | + | 6.06218i | −0.163366 | + | 0.282958i | ||||
\(460\) | 6.00000 | 0.279751 | ||||||||
\(461\) | 9.50000 | − | 16.4545i | 0.442459 | − | 0.766362i | −0.555412 | − | 0.831575i | \(-0.687440\pi\) |
0.997871 | + | 0.0652135i | \(0.0207728\pi\) | |||||||
\(462\) | 2.00000 | − | 3.46410i | 0.0930484 | − | 0.161165i | ||||
\(463\) | 26.0000 | 1.20832 | 0.604161 | − | 0.796862i | \(-0.293508\pi\) | ||||
0.604161 | + | 0.796862i | \(0.293508\pi\) | |||||||
\(464\) | −0.500000 | + | 0.866025i | −0.0232119 | + | 0.0402042i | ||||
\(465\) | −2.00000 | − | 3.46410i | −0.0927478 | − | 0.160644i | ||||
\(466\) | 5.00000 | + | 8.66025i | 0.231621 | + | 0.401179i | ||||
\(467\) | 6.00000 | 0.277647 | 0.138823 | − | 0.990317i | \(-0.455668\pi\) | ||||
0.138823 | + | 0.990317i | \(0.455668\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.00000 | −0.184703 | ||||||||
\(470\) | −3.00000 | − | 5.19615i | −0.138380 | − | 0.239681i | ||||
\(471\) | −1.50000 | − | 2.59808i | −0.0691164 | − | 0.119713i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 12.0000 | 0.551761 | ||||||||
\(474\) | 2.00000 | − | 3.46410i | 0.0918630 | − | 0.159111i | ||||
\(475\) | 12.0000 | − | 20.7846i | 0.550598 | − | 0.953663i | ||||
\(476\) | −14.0000 | −0.641689 | ||||||||
\(477\) | 4.50000 | − | 7.79423i | 0.206041 | − | 0.356873i | ||||
\(478\) | −15.0000 | − | 25.9808i | −0.686084 | − | 1.18833i | ||||
\(479\) | 12.0000 | + | 20.7846i | 0.548294 | + | 0.949673i | 0.998392 | + | 0.0566937i | \(0.0180558\pi\) |
−0.450098 | + | 0.892979i | \(0.648611\pi\) | |||||||
\(480\) | 5.00000 | 0.228218 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 7.00000 | 0.318841 | ||||||||
\(483\) | 6.00000 | + | 10.3923i | 0.273009 | + | 0.472866i | ||||
\(484\) | −3.50000 | − | 6.06218i | −0.159091 | − | 0.275554i | ||||
\(485\) | −1.00000 | + | 1.73205i | −0.0454077 | + | 0.0786484i | ||||
\(486\) | 1.00000 | 0.0453609 | ||||||||
\(487\) | 9.00000 | − | 15.5885i | 0.407829 | − | 0.706380i | −0.586817 | − | 0.809719i | \(-0.699619\pi\) |
0.994646 | + | 0.103339i | \(0.0329526\pi\) | |||||||
\(488\) | −1.50000 | + | 2.59808i | −0.0679018 | + | 0.117609i | ||||
\(489\) | −4.00000 | −0.180886 | ||||||||
\(490\) | −1.50000 | + | 2.59808i | −0.0677631 | + | 0.117369i | ||||
\(491\) | −3.00000 | − | 5.19615i | −0.135388 | − | 0.234499i | 0.790358 | − | 0.612646i | \(-0.209895\pi\) |
−0.925746 | + | 0.378147i | \(0.876561\pi\) | |||||||
\(492\) | 4.50000 | + | 7.79423i | 0.202876 | + | 0.351391i | ||||
\(493\) | 7.00000 | 0.315264 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2.00000 | 0.0898933 | ||||||||
\(496\) | −2.00000 | − | 3.46410i | −0.0898027 | − | 0.155543i | ||||
\(497\) | −6.00000 | − | 10.3923i | −0.269137 | − | 0.466159i | ||||
\(498\) | −7.00000 | + | 12.1244i | −0.313678 | + | 0.543305i | ||||
\(499\) | −24.0000 | −1.07439 | −0.537194 | − | 0.843459i | \(-0.680516\pi\) | ||||
−0.537194 | + | 0.843459i | \(0.680516\pi\) | |||||||
\(500\) | −4.50000 | + | 7.79423i | −0.201246 | + | 0.348569i | ||||
\(501\) | −8.00000 | + | 13.8564i | −0.357414 | + | 0.619059i | ||||
\(502\) | −12.0000 | −0.535586 | ||||||||
\(503\) | 1.00000 | − | 1.73205i | 0.0445878 | − | 0.0772283i | −0.842870 | − | 0.538117i | \(-0.819136\pi\) |
0.887458 | + | 0.460889i | \(0.152469\pi\) | |||||||
\(504\) | 3.00000 | + | 5.19615i | 0.133631 | + | 0.231455i | ||||
\(505\) | −1.50000 | − | 2.59808i | −0.0667491 | − | 0.115613i | ||||
\(506\) | 12.0000 | 0.533465 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −20.0000 | −0.887357 | ||||||||
\(509\) | 3.50000 | + | 6.06218i | 0.155135 | + | 0.268701i | 0.933108 | − | 0.359596i | \(-0.117085\pi\) |
−0.777973 | + | 0.628297i | \(0.783752\pi\) | |||||||
\(510\) | 3.50000 | + | 6.06218i | 0.154983 | + | 0.268438i | ||||
\(511\) | −11.0000 | + | 19.0526i | −0.486611 | + | 0.842836i | ||||
\(512\) | 11.0000 | 0.486136 | ||||||||
\(513\) | 3.00000 | − | 5.19615i | 0.132453 | − | 0.229416i | ||||
\(514\) | −3.50000 | + | 6.06218i | −0.154378 | + | 0.267391i | ||||
\(515\) | 6.00000 | 0.264392 | ||||||||
\(516\) | −3.00000 | + | 5.19615i | −0.132068 | + | 0.228748i | ||||
\(517\) | 6.00000 | + | 10.3923i | 0.263880 | + | 0.457053i | ||||
\(518\) | 1.00000 | + | 1.73205i | 0.0439375 | + | 0.0761019i | ||||
\(519\) | 6.00000 | 0.263371 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3.00000 | −0.131432 | −0.0657162 | − | 0.997838i | \(-0.520933\pi\) | ||||
−0.0657162 | + | 0.997838i | \(0.520933\pi\) | |||||||
\(522\) | −0.500000 | − | 0.866025i | −0.0218844 | − | 0.0379049i | ||||
\(523\) | −7.00000 | − | 12.1244i | −0.306089 | − | 0.530161i | 0.671414 | − | 0.741082i | \(-0.265687\pi\) |
−0.977503 | + | 0.210921i | \(0.932354\pi\) | |||||||
\(524\) | −4.00000 | + | 6.92820i | −0.174741 | + | 0.302660i | ||||
\(525\) | −8.00000 | −0.349149 | ||||||||
\(526\) | −15.0000 | + | 25.9808i | −0.654031 | + | 1.13282i | ||||
\(527\) | −14.0000 | + | 24.2487i | −0.609850 | + | 1.05629i | ||||
\(528\) | 2.00000 | 0.0870388 | ||||||||
\(529\) | −6.50000 | + | 11.2583i | −0.282609 | + | 0.489493i | ||||
\(530\) | −4.50000 | − | 7.79423i | −0.195468 | − | 0.338560i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 12.0000 | 0.520266 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 14.0000 | 0.605839 | ||||||||
\(535\) | 3.00000 | + | 5.19615i | 0.129701 | + | 0.224649i | ||||
\(536\) | −3.00000 | − | 5.19615i | −0.129580 | − | 0.224440i | ||||
\(537\) | −1.00000 | + | 1.73205i | −0.0431532 | + | 0.0747435i | ||||
\(538\) | 14.0000 | 0.603583 | ||||||||
\(539\) | 3.00000 | − | 5.19615i | 0.129219 | − | 0.223814i | ||||
\(540\) | −0.500000 | + | 0.866025i | −0.0215166 | + | 0.0372678i | ||||
\(541\) | −45.0000 | −1.93470 | −0.967351 | − | 0.253442i | \(-0.918437\pi\) | ||||
−0.967351 | + | 0.253442i | \(0.918437\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −3.50000 | − | 6.06218i | −0.150199 | − | 0.260153i | ||||
\(544\) | −17.5000 | − | 30.3109i | −0.750306 | − | 1.29957i | ||||
\(545\) | 2.00000 | 0.0856706 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −26.0000 | −1.11168 | −0.555840 | − | 0.831289i | \(-0.687603\pi\) | ||||
−0.555840 | + | 0.831289i | \(0.687603\pi\) | |||||||
\(548\) | 1.50000 | + | 2.59808i | 0.0640768 | + | 0.110984i | ||||
\(549\) | −0.500000 | − | 0.866025i | −0.0213395 | − | 0.0369611i | ||||
\(550\) | −4.00000 | + | 6.92820i | −0.170561 | + | 0.295420i | ||||
\(551\) | −6.00000 | −0.255609 | ||||||||
\(552\) | −9.00000 | + | 15.5885i | −0.383065 | + | 0.663489i | ||||
\(553\) | −4.00000 | + | 6.92820i | −0.170097 | + | 0.294617i | ||||
\(554\) | 31.0000 | 1.31706 | ||||||||
\(555\) | −0.500000 | + | 0.866025i | −0.0212238 | + | 0.0367607i | ||||
\(556\) | 6.00000 | + | 10.3923i | 0.254457 | + | 0.440732i | ||||
\(557\) | −4.50000 | − | 7.79423i | −0.190671 | − | 0.330252i | 0.754802 | − | 0.655953i | \(-0.227733\pi\) |
−0.945473 | + | 0.325701i | \(0.894400\pi\) | |||||||
\(558\) | 4.00000 | 0.169334 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 2.00000 | 0.0845154 | ||||||||
\(561\) | −7.00000 | − | 12.1244i | −0.295540 | − | 0.511891i | ||||
\(562\) | 9.50000 | + | 16.4545i | 0.400733 | + | 0.694090i | ||||
\(563\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(564\) | −6.00000 | −0.252646 | ||||||||
\(565\) | 7.50000 | − | 12.9904i | 0.315527 | − | 0.546509i | ||||
\(566\) | −9.00000 | + | 15.5885i | −0.378298 | + | 0.655232i | ||||
\(567\) | −2.00000 | −0.0839921 | ||||||||
\(568\) | 9.00000 | − | 15.5885i | 0.377632 | − | 0.654077i | ||||
\(569\) | −11.0000 | − | 19.0526i | −0.461144 | − | 0.798725i | 0.537874 | − | 0.843025i | \(-0.319228\pi\) |
−0.999018 | + | 0.0443003i | \(0.985894\pi\) | |||||||
\(570\) | −3.00000 | − | 5.19615i | −0.125656 | − | 0.217643i | ||||
\(571\) | 26.0000 | 1.08807 | 0.544033 | − | 0.839064i | \(-0.316897\pi\) | ||||
0.544033 | + | 0.839064i | \(0.316897\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 4.00000 | 0.167102 | ||||||||
\(574\) | 9.00000 | + | 15.5885i | 0.375653 | + | 0.650650i | ||||
\(575\) | −12.0000 | − | 20.7846i | −0.500435 | − | 0.866778i | ||||
\(576\) | −3.50000 | + | 6.06218i | −0.145833 | + | 0.252591i | ||||
\(577\) | −11.0000 | −0.457936 | −0.228968 | − | 0.973434i | \(-0.573535\pi\) | ||||
−0.228968 | + | 0.973434i | \(0.573535\pi\) | |||||||
\(578\) | 16.0000 | − | 27.7128i | 0.665512 | − | 1.15270i | ||||
\(579\) | 4.50000 | − | 7.79423i | 0.187014 | − | 0.323917i | ||||
\(580\) | 1.00000 | 0.0415227 | ||||||||
\(581\) | 14.0000 | − | 24.2487i | 0.580818 | − | 1.00601i | ||||
\(582\) | −1.00000 | − | 1.73205i | −0.0414513 | − | 0.0717958i | ||||
\(583\) | 9.00000 | + | 15.5885i | 0.372742 | + | 0.645608i | ||||
\(584\) | −33.0000 | −1.36555 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −9.00000 | −0.371787 | ||||||||
\(587\) | 8.00000 | + | 13.8564i | 0.330195 | + | 0.571915i | 0.982550 | − | 0.185999i | \(-0.0595520\pi\) |
−0.652355 | + | 0.757914i | \(0.726219\pi\) | |||||||
\(588\) | 1.50000 | + | 2.59808i | 0.0618590 | + | 0.107143i | ||||
\(589\) | 12.0000 | − | 20.7846i | 0.494451 | − | 0.856415i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.00000 | + | 5.19615i | −0.123404 | + | 0.213741i | ||||
\(592\) | −0.500000 | + | 0.866025i | −0.0205499 | + | 0.0355934i | ||||
\(593\) | −13.0000 | −0.533846 | −0.266923 | − | 0.963718i | \(-0.586007\pi\) | ||||
−0.266923 | + | 0.963718i | \(0.586007\pi\) | |||||||
\(594\) | −1.00000 | + | 1.73205i | −0.0410305 | + | 0.0710669i | ||||
\(595\) | −7.00000 | − | 12.1244i | −0.286972 | − | 0.497050i | ||||
\(596\) | −1.50000 | − | 2.59808i | −0.0614424 | − | 0.106421i | ||||
\(597\) | −14.0000 | −0.572982 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −16.0000 | −0.653742 | −0.326871 | − | 0.945069i | \(-0.605994\pi\) | ||||
−0.326871 | + | 0.945069i | \(0.605994\pi\) | |||||||
\(600\) | −6.00000 | − | 10.3923i | −0.244949 | − | 0.424264i | ||||
\(601\) | 2.50000 | + | 4.33013i | 0.101977 | + | 0.176630i | 0.912499 | − | 0.409079i | \(-0.134150\pi\) |
−0.810522 | + | 0.585708i | \(0.800816\pi\) | |||||||
\(602\) | −6.00000 | + | 10.3923i | −0.244542 | + | 0.423559i | ||||
\(603\) | 2.00000 | 0.0814463 | ||||||||
\(604\) | 1.00000 | − | 1.73205i | 0.0406894 | − | 0.0704761i | ||||
\(605\) | 3.50000 | − | 6.06218i | 0.142295 | − | 0.246463i | ||||
\(606\) | 3.00000 | 0.121867 | ||||||||
\(607\) | −4.00000 | + | 6.92820i | −0.162355 | + | 0.281207i | −0.935713 | − | 0.352763i | \(-0.885242\pi\) |
0.773358 | + | 0.633970i | \(0.218576\pi\) | |||||||
\(608\) | 15.0000 | + | 25.9808i | 0.608330 | + | 1.05366i | ||||
\(609\) | 1.00000 | + | 1.73205i | 0.0405220 | + | 0.0701862i | ||||
\(610\) | −1.00000 | −0.0404888 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 7.00000 | 0.282958 | ||||||||
\(613\) | −11.5000 | − | 19.9186i | −0.464481 | − | 0.804504i | 0.534697 | − | 0.845044i | \(-0.320426\pi\) |
−0.999178 | + | 0.0405396i | \(0.987092\pi\) | |||||||
\(614\) | −7.00000 | − | 12.1244i | −0.282497 | − | 0.489299i | ||||
\(615\) | −4.50000 | + | 7.79423i | −0.181458 | + | 0.314294i | ||||
\(616\) | −12.0000 | −0.483494 | ||||||||
\(617\) | 6.50000 | − | 11.2583i | 0.261680 | − | 0.453243i | −0.705008 | − | 0.709199i | \(-0.749057\pi\) |
0.966689 | + | 0.255956i | \(0.0823901\pi\) | |||||||
\(618\) | −3.00000 | + | 5.19615i | −0.120678 | + | 0.209020i | ||||
\(619\) | 24.0000 | 0.964641 | 0.482321 | − | 0.875995i | \(-0.339794\pi\) | ||||
0.482321 | + | 0.875995i | \(0.339794\pi\) | |||||||
\(620\) | −2.00000 | + | 3.46410i | −0.0803219 | + | 0.139122i | ||||
\(621\) | −3.00000 | − | 5.19615i | −0.120386 | − | 0.208514i | ||||
\(622\) | 9.00000 | + | 15.5885i | 0.360867 | + | 0.625040i | ||||
\(623\) | −28.0000 | −1.12180 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.0000 | 0.440000 | ||||||||
\(626\) | 3.00000 | + | 5.19615i | 0.119904 | + | 0.207680i | ||||
\(627\) | 6.00000 | + | 10.3923i | 0.239617 | + | 0.415029i | ||||
\(628\) | −1.50000 | + | 2.59808i | −0.0598565 | + | 0.103675i | ||||
\(629\) | 7.00000 | 0.279108 | ||||||||
\(630\) | −1.00000 | + | 1.73205i | −0.0398410 | + | 0.0690066i | ||||
\(631\) | 10.0000 | − | 17.3205i | 0.398094 | − | 0.689519i | −0.595397 | − | 0.803432i | \(-0.703005\pi\) |
0.993491 | + | 0.113913i | \(0.0363385\pi\) | |||||||
\(632\) | −12.0000 | −0.477334 | ||||||||
\(633\) | −4.00000 | + | 6.92820i | −0.158986 | + | 0.275371i | ||||
\(634\) | 12.5000 | + | 21.6506i | 0.496438 | + | 0.859857i | ||||
\(635\) | −10.0000 | − | 17.3205i | −0.396838 | − | 0.687343i | ||||
\(636\) | −9.00000 | −0.356873 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 2.00000 | 0.0791808 | ||||||||
\(639\) | 3.00000 | + | 5.19615i | 0.118678 | + | 0.205557i | ||||
\(640\) | −1.50000 | − | 2.59808i | −0.0592927 | − | 0.102698i | ||||
\(641\) | 15.5000 | − | 26.8468i | 0.612213 | − | 1.06038i | −0.378653 | − | 0.925539i | \(-0.623613\pi\) |
0.990867 | − | 0.134846i | \(-0.0430539\pi\) | |||||||
\(642\) | −6.00000 | −0.236801 | ||||||||
\(643\) | −8.00000 | + | 13.8564i | −0.315489 | + | 0.546443i | −0.979541 | − | 0.201243i | \(-0.935502\pi\) |
0.664052 | + | 0.747686i | \(0.268835\pi\) | |||||||
\(644\) | 6.00000 | − | 10.3923i | 0.236433 | − | 0.409514i | ||||
\(645\) | −6.00000 | −0.236250 | ||||||||
\(646\) | −21.0000 | + | 36.3731i | −0.826234 | + | 1.43108i | ||||
\(647\) | 16.0000 | + | 27.7128i | 0.629025 | + | 1.08950i | 0.987748 | + | 0.156059i | \(0.0498790\pi\) |
−0.358723 | + | 0.933444i | \(0.616788\pi\) | |||||||
\(648\) | −1.50000 | − | 2.59808i | −0.0589256 | − | 0.102062i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −8.00000 | −0.313545 | ||||||||
\(652\) | 2.00000 | + | 3.46410i | 0.0783260 | + | 0.135665i | ||||
\(653\) | 3.00000 | + | 5.19615i | 0.117399 | + | 0.203341i | 0.918736 | − | 0.394872i | \(-0.129211\pi\) |
−0.801337 | + | 0.598213i | \(0.795878\pi\) | |||||||
\(654\) | −1.00000 | + | 1.73205i | −0.0391031 | + | 0.0677285i | ||||
\(655\) | −8.00000 | −0.312586 | ||||||||
\(656\) | −4.50000 | + | 7.79423i | −0.175695 | + | 0.304314i | ||||
\(657\) | 5.50000 | − | 9.52628i | 0.214575 | − | 0.371656i | ||||
\(658\) | −12.0000 | −0.467809 | ||||||||
\(659\) | 4.00000 | − | 6.92820i | 0.155818 | − | 0.269884i | −0.777539 | − | 0.628835i | \(-0.783532\pi\) |
0.933357 | + | 0.358951i | \(0.116865\pi\) | |||||||
\(660\) | −1.00000 | − | 1.73205i | −0.0389249 | − | 0.0674200i | ||||
\(661\) | 22.5000 | + | 38.9711i | 0.875149 | + | 1.51580i | 0.856604 | + | 0.515974i | \(0.172570\pi\) |
0.0185442 | + | 0.999828i | \(0.494097\pi\) | |||||||
\(662\) | −4.00000 | −0.155464 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 42.0000 | 1.62992 | ||||||||
\(665\) | 6.00000 | + | 10.3923i | 0.232670 | + | 0.402996i | ||||
\(666\) | −0.500000 | − | 0.866025i | −0.0193746 | − | 0.0335578i | ||||
\(667\) | −3.00000 | + | 5.19615i | −0.116160 | + | 0.201196i | ||||
\(668\) | 16.0000 | 0.619059 | ||||||||
\(669\) | −8.00000 | + | 13.8564i | −0.309298 | + | 0.535720i | ||||
\(670\) | 1.00000 | − | 1.73205i | 0.0386334 | − | 0.0669150i | ||||
\(671\) | 2.00000 | 0.0772091 | ||||||||
\(672\) | 5.00000 | − | 8.66025i | 0.192879 | − | 0.334077i | ||||
\(673\) | 14.5000 | + | 25.1147i | 0.558934 | + | 0.968102i | 0.997586 | + | 0.0694449i | \(0.0221228\pi\) |
−0.438652 | + | 0.898657i | \(0.644544\pi\) | |||||||
\(674\) | −16.5000 | − | 28.5788i | −0.635556 | − | 1.10082i | ||||
\(675\) | 4.00000 | 0.153960 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 34.0000 | 1.30673 | 0.653363 | − | 0.757045i | \(-0.273358\pi\) | ||||
0.653363 | + | 0.757045i | \(0.273358\pi\) | |||||||
\(678\) | 7.50000 | + | 12.9904i | 0.288036 | + | 0.498893i | ||||
\(679\) | 2.00000 | + | 3.46410i | 0.0767530 | + | 0.132940i | ||||
\(680\) | 10.5000 | − | 18.1865i | 0.402657 | − | 0.697422i | ||||
\(681\) | −14.0000 | −0.536481 | ||||||||
\(682\) | −4.00000 | + | 6.92820i | −0.153168 | + | 0.265295i | ||||
\(683\) | −12.0000 | + | 20.7846i | −0.459167 | + | 0.795301i | −0.998917 | − | 0.0465244i | \(-0.985185\pi\) |
0.539750 | + | 0.841825i | \(0.318519\pi\) | |||||||
\(684\) | −6.00000 | −0.229416 | ||||||||
\(685\) | −1.50000 | + | 2.59808i | −0.0573121 | + | 0.0992674i | ||||
\(686\) | 10.0000 | + | 17.3205i | 0.381802 | + | 0.661300i | ||||
\(687\) | 11.0000 | + | 19.0526i | 0.419676 | + | 0.726900i | ||||
\(688\) | −6.00000 | −0.228748 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −6.00000 | −0.228416 | ||||||||
\(691\) | 21.0000 | + | 36.3731i | 0.798878 | + | 1.38370i | 0.920348 | + | 0.391102i | \(0.127906\pi\) |
−0.121470 | + | 0.992595i | \(0.538761\pi\) | |||||||
\(692\) | −3.00000 | − | 5.19615i | −0.114043 | − | 0.197528i | ||||
\(693\) | 2.00000 | − | 3.46410i | 0.0759737 | − | 0.131590i | ||||
\(694\) | −18.0000 | −0.683271 | ||||||||
\(695\) | −6.00000 | + | 10.3923i | −0.227593 | + | 0.394203i | ||||
\(696\) | −1.50000 | + | 2.59808i | −0.0568574 | + | 0.0984798i | ||||
\(697\) | 63.0000 | 2.38630 | ||||||||
\(698\) | 13.0000 | − | 22.5167i | 0.492057 | − | 0.852268i | ||||
\(699\) | 5.00000 | + | 8.66025i | 0.189117 | + | 0.327561i | ||||
\(700\) | 4.00000 | + | 6.92820i | 0.151186 | + | 0.261861i | ||||
\(701\) | 2.00000 | 0.0755390 | 0.0377695 | − | 0.999286i | \(-0.487975\pi\) | ||||
0.0377695 | + | 0.999286i | \(0.487975\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −6.00000 | −0.226294 | ||||||||
\(704\) | −7.00000 | − | 12.1244i | −0.263822 | − | 0.456954i | ||||
\(705\) | −3.00000 | − | 5.19615i | −0.112987 | − | 0.195698i | ||||
\(706\) | 5.50000 | − | 9.52628i | 0.206995 | − | 0.358526i | ||||
\(707\) | −6.00000 | −0.225653 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.50000 | + | 9.52628i | −0.206557 | + | 0.357767i | −0.950628 | − | 0.310334i | \(-0.899559\pi\) |
0.744071 | + | 0.668101i | \(0.232892\pi\) | |||||||
\(710\) | 6.00000 | 0.225176 | ||||||||
\(711\) | 2.00000 | − | 3.46410i | 0.0750059 | − | 0.129914i | ||||
\(712\) | −21.0000 | − | 36.3731i | −0.787008 | − | 1.36314i | ||||
\(713\) | −12.0000 | − | 20.7846i | −0.449404 | − | 0.778390i | ||||
\(714\) | 14.0000 | 0.523937 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 2.00000 | 0.0747435 | ||||||||
\(717\) | −15.0000 | − | 25.9808i | −0.560185 | − | 0.970269i | ||||
\(718\) | 9.00000 | + | 15.5885i | 0.335877 | + | 0.581756i | ||||
\(719\) | 24.0000 | − | 41.5692i | 0.895049 | − | 1.55027i | 0.0613050 | − | 0.998119i | \(-0.480474\pi\) |
0.833744 | − | 0.552151i | \(-0.186193\pi\) | |||||||
\(720\) | −1.00000 | −0.0372678 | ||||||||
\(721\) | 6.00000 | − | 10.3923i | 0.223452 | − | 0.387030i | ||||
\(722\) | 8.50000 | − | 14.7224i | 0.316337 | − | 0.547912i | ||||
\(723\) | 7.00000 | 0.260333 | ||||||||
\(724\) | −3.50000 | + | 6.06218i | −0.130076 | + | 0.225299i | ||||
\(725\) | −2.00000 | − | 3.46410i | −0.0742781 | − | 0.128654i | ||||
\(726\) | 3.50000 | + | 6.06218i | 0.129897 | + | 0.224989i | ||||
\(727\) | 14.0000 | 0.519231 | 0.259616 | − | 0.965712i | \(-0.416404\pi\) | ||||
0.259616 | + | 0.965712i | \(0.416404\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −5.50000 | − | 9.52628i | −0.203564 | − | 0.352583i | ||||
\(731\) | 21.0000 | + | 36.3731i | 0.776713 | + | 1.34531i | ||||
\(732\) | −0.500000 | + | 0.866025i | −0.0184805 | + | 0.0320092i | ||||
\(733\) | 15.0000 | 0.554038 | 0.277019 | − | 0.960864i | \(-0.410654\pi\) | ||||
0.277019 | + | 0.960864i | \(0.410654\pi\) | |||||||
\(734\) | 5.00000 | − | 8.66025i | 0.184553 | − | 0.319656i | ||||
\(735\) | −1.50000 | + | 2.59808i | −0.0553283 | + | 0.0958315i | ||||
\(736\) | 30.0000 | 1.10581 | ||||||||
\(737\) | −2.00000 | + | 3.46410i | −0.0736709 | + | 0.127602i | ||||
\(738\) | −4.50000 | − | 7.79423i | −0.165647 | − | 0.286910i | ||||
\(739\) | −8.00000 | − | 13.8564i | −0.294285 | − | 0.509716i | 0.680534 | − | 0.732717i | \(-0.261748\pi\) |
−0.974818 | + | 0.223001i | \(0.928415\pi\) | |||||||
\(740\) | 1.00000 | 0.0367607 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −18.0000 | −0.660801 | ||||||||
\(743\) | −18.0000 | − | 31.1769i | −0.660356 | − | 1.14377i | −0.980522 | − | 0.196409i | \(-0.937072\pi\) |
0.320166 | − | 0.947361i | \(-0.396261\pi\) | |||||||
\(744\) | −6.00000 | − | 10.3923i | −0.219971 | − | 0.381000i | ||||
\(745\) | 1.50000 | − | 2.59808i | 0.0549557 | − | 0.0951861i | ||||
\(746\) | 11.0000 | 0.402739 | ||||||||
\(747\) | −7.00000 | + | 12.1244i | −0.256117 | + | 0.443607i | ||||
\(748\) | −7.00000 | + | 12.1244i | −0.255945 | + | 0.443310i | ||||
\(749\) | 12.0000 | 0.438470 | ||||||||
\(750\) | 4.50000 | − | 7.79423i | 0.164317 | − | 0.284605i | ||||
\(751\) | 17.0000 | + | 29.4449i | 0.620339 | + | 1.07446i | 0.989423 | + | 0.145062i | \(0.0463382\pi\) |
−0.369084 | + | 0.929396i | \(0.620328\pi\) | |||||||
\(752\) | −3.00000 | − | 5.19615i | −0.109399 | − | 0.189484i | ||||
\(753\) | −12.0000 | −0.437304 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 2.00000 | 0.0727875 | ||||||||
\(756\) | 1.00000 | + | 1.73205i | 0.0363696 | + | 0.0629941i | ||||
\(757\) | 25.0000 | + | 43.3013i | 0.908640 | + | 1.57381i | 0.815955 | + | 0.578116i | \(0.196212\pi\) |
0.0926859 | + | 0.995695i | \(0.470455\pi\) | |||||||
\(758\) | 18.0000 | − | 31.1769i | 0.653789 | − | 1.13240i | ||||
\(759\) | 12.0000 | 0.435572 | ||||||||
\(760\) | −9.00000 | + | 15.5885i | −0.326464 | + | 0.565453i | ||||
\(761\) | 25.0000 | − | 43.3013i | 0.906249 | − | 1.56967i | 0.0870179 | − | 0.996207i | \(-0.472266\pi\) |
0.819231 | − | 0.573463i | \(-0.194400\pi\) | |||||||
\(762\) | 20.0000 | 0.724524 | ||||||||
\(763\) | 2.00000 | − | 3.46410i | 0.0724049 | − | 0.125409i | ||||
\(764\) | −2.00000 | − | 3.46410i | −0.0723575 | − | 0.125327i | ||||
\(765\) | 3.50000 | + | 6.06218i | 0.126543 | + | 0.219179i | ||||
\(766\) | 8.00000 | 0.289052 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 17.0000 | 0.613435 | ||||||||
\(769\) | 15.0000 | + | 25.9808i | 0.540914 | + | 0.936890i | 0.998852 | + | 0.0479061i | \(0.0152548\pi\) |
−0.457938 | + | 0.888984i | \(0.651412\pi\) | |||||||
\(770\) | −2.00000 | − | 3.46410i | −0.0720750 | − | 0.124838i | ||||
\(771\) | −3.50000 | + | 6.06218i | −0.126049 | + | 0.218324i | ||||
\(772\) | −9.00000 | −0.323917 | ||||||||
\(773\) | −7.00000 | + | 12.1244i | −0.251773 | + | 0.436083i | −0.964014 | − | 0.265852i | \(-0.914347\pi\) |
0.712241 | + | 0.701935i | \(0.247680\pi\) | |||||||
\(774\) | 3.00000 | − | 5.19615i | 0.107833 | − | 0.186772i | ||||
\(775\) | 16.0000 | 0.574737 | ||||||||
\(776\) | −3.00000 | + | 5.19615i | −0.107694 | + | 0.186531i | ||||
\(777\) | 1.00000 | + | 1.73205i | 0.0358748 | + | 0.0621370i | ||||
\(778\) | 9.50000 | + | 16.4545i | 0.340592 | + | 0.589922i | ||||
\(779\) | −54.0000 |