Newspace parameters
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.i (of order \(3\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{19})\) |
Defining polynomial: | \(x^{4} + 19 x^{2} + 361\) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 391.1 | ||
Root | \(2.17945 - 3.77492i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.391 |
Dual form | 570.2.i.h.121.1 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | −0.500000 | + | 0.866025i | −0.288675 | + | 0.500000i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 0.500000 | − | 0.866025i | 0.223607 | − | 0.387298i | ||||
\(6\) | 0.500000 | + | 0.866025i | 0.204124 | + | 0.353553i | ||||
\(7\) | −4.35890 | −1.64751 | −0.823754 | − | 0.566947i | \(-0.808125\pi\) | ||||
−0.823754 | + | 0.566947i | \(0.808125\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | −0.500000 | − | 0.866025i | −0.158114 | − | 0.273861i | ||||
\(11\) | −3.00000 | −0.904534 | −0.452267 | − | 0.891883i | \(-0.649385\pi\) | ||||
−0.452267 | + | 0.891883i | \(0.649385\pi\) | |||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | 2.00000 | + | 3.46410i | 0.554700 | + | 0.960769i | 0.997927 | + | 0.0643593i | \(0.0205004\pi\) |
−0.443227 | + | 0.896410i | \(0.646166\pi\) | |||||||
\(14\) | −2.17945 | + | 3.77492i | −0.582482 | + | 1.00889i | ||||
\(15\) | 0.500000 | + | 0.866025i | 0.129099 | + | 0.223607i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −1.67945 | + | 2.90889i | −0.407326 | + | 0.705510i | −0.994589 | − | 0.103886i | \(-0.966872\pi\) |
0.587263 | + | 0.809396i | \(0.300205\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | −2.17945 | + | 3.77492i | −0.500000 | + | 0.866025i | ||||
\(20\) | −1.00000 | −0.223607 | ||||||||
\(21\) | 2.17945 | − | 3.77492i | 0.475595 | − | 0.823754i | ||||
\(22\) | −1.50000 | + | 2.59808i | −0.319801 | + | 0.553912i | ||||
\(23\) | 1.50000 | + | 2.59808i | 0.312772 | + | 0.541736i | 0.978961 | − | 0.204046i | \(-0.0654092\pi\) |
−0.666190 | + | 0.745782i | \(0.732076\pi\) | |||||||
\(24\) | 0.500000 | − | 0.866025i | 0.102062 | − | 0.176777i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 4.00000 | 0.784465 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 2.17945 | + | 3.77492i | 0.411877 | + | 0.713392i | ||||
\(29\) | −4.67945 | − | 8.10504i | −0.868952 | − | 1.50507i | −0.863069 | − | 0.505086i | \(-0.831461\pi\) |
−0.00588307 | − | 0.999983i | \(-0.501873\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | −10.7178 | −1.92497 | −0.962487 | − | 0.271329i | \(-0.912537\pi\) | ||||
−0.962487 | + | 0.271329i | \(0.912537\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 1.50000 | − | 2.59808i | 0.261116 | − | 0.452267i | ||||
\(34\) | 1.67945 | + | 2.90889i | 0.288023 | + | 0.498871i | ||||
\(35\) | −2.17945 | + | 3.77492i | −0.368394 | + | 0.638077i | ||||
\(36\) | −0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | ||||
\(37\) | −7.00000 | −1.15079 | −0.575396 | − | 0.817875i | \(-0.695152\pi\) | ||||
−0.575396 | + | 0.817875i | \(0.695152\pi\) | |||||||
\(38\) | 2.17945 | + | 3.77492i | 0.353553 | + | 0.612372i | ||||
\(39\) | −4.00000 | −0.640513 | ||||||||
\(40\) | −0.500000 | + | 0.866025i | −0.0790569 | + | 0.136931i | ||||
\(41\) | 3.17945 | − | 5.50697i | 0.496547 | − | 0.860044i | −0.503445 | − | 0.864027i | \(-0.667935\pi\) |
0.999992 | + | 0.00398308i | \(0.00126786\pi\) | |||||||
\(42\) | −2.17945 | − | 3.77492i | −0.336296 | − | 0.582482i | ||||
\(43\) | 5.00000 | − | 8.66025i | 0.762493 | − | 1.32068i | −0.179069 | − | 0.983836i | \(-0.557309\pi\) |
0.941562 | − | 0.336840i | \(-0.109358\pi\) | |||||||
\(44\) | 1.50000 | + | 2.59808i | 0.226134 | + | 0.391675i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | 3.00000 | 0.442326 | ||||||||
\(47\) | 3.00000 | + | 5.19615i | 0.437595 | + | 0.757937i | 0.997503 | − | 0.0706177i | \(-0.0224970\pi\) |
−0.559908 | + | 0.828554i | \(0.689164\pi\) | |||||||
\(48\) | −0.500000 | − | 0.866025i | −0.0721688 | − | 0.125000i | ||||
\(49\) | 12.0000 | 1.71429 | ||||||||
\(50\) | −1.00000 | −0.141421 | ||||||||
\(51\) | −1.67945 | − | 2.90889i | −0.235170 | − | 0.407326i | ||||
\(52\) | 2.00000 | − | 3.46410i | 0.277350 | − | 0.480384i | ||||
\(53\) | 6.53835 | + | 11.3248i | 0.898111 | + | 1.55557i | 0.829906 | + | 0.557903i | \(0.188394\pi\) |
0.0682050 | + | 0.997671i | \(0.478273\pi\) | |||||||
\(54\) | 0.500000 | − | 0.866025i | 0.0680414 | − | 0.117851i | ||||
\(55\) | −1.50000 | + | 2.59808i | −0.202260 | + | 0.350325i | ||||
\(56\) | 4.35890 | 0.582482 | ||||||||
\(57\) | −2.17945 | − | 3.77492i | −0.288675 | − | 0.500000i | ||||
\(58\) | −9.35890 | −1.22888 | ||||||||
\(59\) | −6.35890 | + | 11.0139i | −0.827858 | + | 1.43389i | 0.0718571 | + | 0.997415i | \(0.477107\pi\) |
−0.899715 | + | 0.436477i | \(0.856226\pi\) | |||||||
\(60\) | 0.500000 | − | 0.866025i | 0.0645497 | − | 0.111803i | ||||
\(61\) | −2.67945 | − | 4.64094i | −0.343068 | − | 0.594212i | 0.641933 | − | 0.766761i | \(-0.278133\pi\) |
−0.985001 | + | 0.172549i | \(0.944800\pi\) | |||||||
\(62\) | −5.35890 | + | 9.28189i | −0.680581 | + | 1.17880i | ||||
\(63\) | 2.17945 | + | 3.77492i | 0.274585 | + | 0.475595i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 4.00000 | 0.496139 | ||||||||
\(66\) | −1.50000 | − | 2.59808i | −0.184637 | − | 0.319801i | ||||
\(67\) | −5.67945 | − | 9.83710i | −0.693855 | − | 1.20179i | −0.970565 | − | 0.240839i | \(-0.922577\pi\) |
0.276710 | − | 0.960953i | \(-0.410756\pi\) | |||||||
\(68\) | 3.35890 | 0.407326 | ||||||||
\(69\) | −3.00000 | −0.361158 | ||||||||
\(70\) | 2.17945 | + | 3.77492i | 0.260494 | + | 0.451189i | ||||
\(71\) | 5.03835 | − | 8.72668i | 0.597942 | − | 1.03567i | −0.395183 | − | 0.918603i | \(-0.629319\pi\) |
0.993124 | − | 0.117063i | \(-0.0373480\pi\) | |||||||
\(72\) | 0.500000 | + | 0.866025i | 0.0589256 | + | 0.102062i | ||||
\(73\) | −2.32055 | + | 4.01931i | −0.271600 | + | 0.470425i | −0.969272 | − | 0.245993i | \(-0.920886\pi\) |
0.697672 | + | 0.716418i | \(0.254219\pi\) | |||||||
\(74\) | −3.50000 | + | 6.06218i | −0.406867 | + | 0.704714i | ||||
\(75\) | 1.00000 | 0.115470 | ||||||||
\(76\) | 4.35890 | 0.500000 | ||||||||
\(77\) | 13.0767 | 1.49023 | ||||||||
\(78\) | −2.00000 | + | 3.46410i | −0.226455 | + | 0.392232i | ||||
\(79\) | 2.35890 | − | 4.08573i | 0.265397 | − | 0.459681i | −0.702271 | − | 0.711910i | \(-0.747830\pi\) |
0.967668 | + | 0.252229i | \(0.0811637\pi\) | |||||||
\(80\) | 0.500000 | + | 0.866025i | 0.0559017 | + | 0.0968246i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −3.17945 | − | 5.50697i | −0.351111 | − | 0.608143i | ||||
\(83\) | −6.00000 | −0.658586 | −0.329293 | − | 0.944228i | \(-0.606810\pi\) | ||||
−0.329293 | + | 0.944228i | \(0.606810\pi\) | |||||||
\(84\) | −4.35890 | −0.475595 | ||||||||
\(85\) | 1.67945 | + | 2.90889i | 0.182162 | + | 0.315514i | ||||
\(86\) | −5.00000 | − | 8.66025i | −0.539164 | − | 0.933859i | ||||
\(87\) | 9.35890 | 1.00338 | ||||||||
\(88\) | 3.00000 | 0.319801 | ||||||||
\(89\) | −0.179449 | − | 0.310816i | −0.0190216 | − | 0.0329464i | 0.856358 | − | 0.516383i | \(-0.172722\pi\) |
−0.875380 | + | 0.483436i | \(0.839388\pi\) | |||||||
\(90\) | −0.500000 | + | 0.866025i | −0.0527046 | + | 0.0912871i | ||||
\(91\) | −8.71780 | − | 15.0997i | −0.913874 | − | 1.58288i | ||||
\(92\) | 1.50000 | − | 2.59808i | 0.156386 | − | 0.270868i | ||||
\(93\) | 5.35890 | − | 9.28189i | 0.555692 | − | 0.962487i | ||||
\(94\) | 6.00000 | 0.618853 | ||||||||
\(95\) | 2.17945 | + | 3.77492i | 0.223607 | + | 0.387298i | ||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | 7.03835 | − | 12.1908i | 0.714636 | − | 1.23779i | −0.248464 | − | 0.968641i | \(-0.579926\pi\) |
0.963100 | − | 0.269145i | \(-0.0867410\pi\) | |||||||
\(98\) | 6.00000 | − | 10.3923i | 0.606092 | − | 1.04978i | ||||
\(99\) | 1.50000 | + | 2.59808i | 0.150756 | + | 0.261116i | ||||
\(100\) | −0.500000 | + | 0.866025i | −0.0500000 | + | 0.0866025i | ||||
\(101\) | 6.35890 | + | 11.0139i | 0.632734 | + | 1.09593i | 0.986990 | + | 0.160779i | \(0.0514007\pi\) |
−0.354256 | + | 0.935148i | \(0.615266\pi\) | |||||||
\(102\) | −3.35890 | −0.332581 | ||||||||
\(103\) | −10.3589 | −1.02069 | −0.510346 | − | 0.859969i | \(-0.670483\pi\) | ||||
−0.510346 | + | 0.859969i | \(0.670483\pi\) | |||||||
\(104\) | −2.00000 | − | 3.46410i | −0.196116 | − | 0.339683i | ||||
\(105\) | −2.17945 | − | 3.77492i | −0.212692 | − | 0.368394i | ||||
\(106\) | 13.0767 | 1.27012 | ||||||||
\(107\) | 9.35890 | 0.904759 | 0.452379 | − | 0.891826i | \(-0.350575\pi\) | ||||
0.452379 | + | 0.891826i | \(0.350575\pi\) | |||||||
\(108\) | −0.500000 | − | 0.866025i | −0.0481125 | − | 0.0833333i | ||||
\(109\) | −5.32055 | + | 9.21546i | −0.509616 | + | 0.882681i | 0.490322 | + | 0.871542i | \(0.336879\pi\) |
−0.999938 | + | 0.0111398i | \(0.996454\pi\) | |||||||
\(110\) | 1.50000 | + | 2.59808i | 0.143019 | + | 0.247717i | ||||
\(111\) | 3.50000 | − | 6.06218i | 0.332205 | − | 0.575396i | ||||
\(112\) | 2.17945 | − | 3.77492i | 0.205939 | − | 0.356696i | ||||
\(113\) | 3.35890 | 0.315979 | 0.157989 | − | 0.987441i | \(-0.449499\pi\) | ||||
0.157989 | + | 0.987441i | \(0.449499\pi\) | |||||||
\(114\) | −4.35890 | −0.408248 | ||||||||
\(115\) | 3.00000 | 0.279751 | ||||||||
\(116\) | −4.67945 | + | 8.10504i | −0.434476 | + | 0.752534i | ||||
\(117\) | 2.00000 | − | 3.46410i | 0.184900 | − | 0.320256i | ||||
\(118\) | 6.35890 | + | 11.0139i | 0.585384 | + | 1.01391i | ||||
\(119\) | 7.32055 | − | 12.6796i | 0.671074 | − | 1.16233i | ||||
\(120\) | −0.500000 | − | 0.866025i | −0.0456435 | − | 0.0790569i | ||||
\(121\) | −2.00000 | −0.181818 | ||||||||
\(122\) | −5.35890 | −0.485172 | ||||||||
\(123\) | 3.17945 | + | 5.50697i | 0.286681 | + | 0.496547i | ||||
\(124\) | 5.35890 | + | 9.28189i | 0.481243 | + | 0.833538i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 4.35890 | 0.388322 | ||||||||
\(127\) | 5.17945 | + | 8.97107i | 0.459602 | + | 0.796054i | 0.998940 | − | 0.0460357i | \(-0.0146588\pi\) |
−0.539338 | + | 0.842089i | \(0.681325\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 5.00000 | + | 8.66025i | 0.440225 | + | 0.762493i | ||||
\(130\) | 2.00000 | − | 3.46410i | 0.175412 | − | 0.303822i | ||||
\(131\) | 1.50000 | − | 2.59808i | 0.131056 | − | 0.226995i | −0.793028 | − | 0.609185i | \(-0.791497\pi\) |
0.924084 | + | 0.382190i | \(0.124830\pi\) | |||||||
\(132\) | −3.00000 | −0.261116 | ||||||||
\(133\) | 9.50000 | − | 16.4545i | 0.823754 | − | 1.42678i | ||||
\(134\) | −11.3589 | −0.981259 | ||||||||
\(135\) | 0.500000 | − | 0.866025i | 0.0430331 | − | 0.0745356i | ||||
\(136\) | 1.67945 | − | 2.90889i | 0.144012 | − | 0.249435i | ||||
\(137\) | −6.00000 | − | 10.3923i | −0.512615 | − | 0.887875i | −0.999893 | − | 0.0146279i | \(-0.995344\pi\) |
0.487278 | − | 0.873247i | \(-0.337990\pi\) | |||||||
\(138\) | −1.50000 | + | 2.59808i | −0.127688 | + | 0.221163i | ||||
\(139\) | −0.641101 | − | 1.11042i | −0.0543775 | − | 0.0941846i | 0.837555 | − | 0.546353i | \(-0.183984\pi\) |
−0.891933 | + | 0.452168i | \(0.850651\pi\) | |||||||
\(140\) | 4.35890 | 0.368394 | ||||||||
\(141\) | −6.00000 | −0.505291 | ||||||||
\(142\) | −5.03835 | − | 8.72668i | −0.422809 | − | 0.732326i | ||||
\(143\) | −6.00000 | − | 10.3923i | −0.501745 | − | 0.869048i | ||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | −9.35890 | −0.777214 | ||||||||
\(146\) | 2.32055 | + | 4.01931i | 0.192050 | + | 0.332641i | ||||
\(147\) | −6.00000 | + | 10.3923i | −0.494872 | + | 0.857143i | ||||
\(148\) | 3.50000 | + | 6.06218i | 0.287698 | + | 0.498308i | ||||
\(149\) | 5.03835 | − | 8.72668i | 0.412758 | − | 0.714917i | −0.582433 | − | 0.812879i | \(-0.697899\pi\) |
0.995190 | + | 0.0979619i | \(0.0312323\pi\) | |||||||
\(150\) | 0.500000 | − | 0.866025i | 0.0408248 | − | 0.0707107i | ||||
\(151\) | −2.07670 | −0.168999 | −0.0844996 | − | 0.996424i | \(-0.526929\pi\) | ||||
−0.0844996 | + | 0.996424i | \(0.526929\pi\) | |||||||
\(152\) | 2.17945 | − | 3.77492i | 0.176777 | − | 0.306186i | ||||
\(153\) | 3.35890 | 0.271551 | ||||||||
\(154\) | 6.53835 | − | 11.3248i | 0.526875 | − | 0.912574i | ||||
\(155\) | −5.35890 | + | 9.28189i | −0.430437 | + | 0.745539i | ||||
\(156\) | 2.00000 | + | 3.46410i | 0.160128 | + | 0.277350i | ||||
\(157\) | −2.50000 | + | 4.33013i | −0.199522 | + | 0.345582i | −0.948373 | − | 0.317156i | \(-0.897272\pi\) |
0.748852 | + | 0.662738i | \(0.230606\pi\) | |||||||
\(158\) | −2.35890 | − | 4.08573i | −0.187664 | − | 0.325043i | ||||
\(159\) | −13.0767 | −1.03705 | ||||||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −6.53835 | − | 11.3248i | −0.515294 | − | 0.892515i | ||||
\(162\) | 0.500000 | + | 0.866025i | 0.0392837 | + | 0.0680414i | ||||
\(163\) | −4.71780 | −0.369526 | −0.184763 | − | 0.982783i | \(-0.559152\pi\) | ||||
−0.184763 | + | 0.982783i | \(0.559152\pi\) | |||||||
\(164\) | −6.35890 | −0.496547 | ||||||||
\(165\) | −1.50000 | − | 2.59808i | −0.116775 | − | 0.202260i | ||||
\(166\) | −3.00000 | + | 5.19615i | −0.232845 | + | 0.403300i | ||||
\(167\) | 11.2178 | + | 19.4298i | 0.868059 | + | 1.50352i | 0.863977 | + | 0.503531i | \(0.167966\pi\) |
0.00408215 | + | 0.999992i | \(0.498701\pi\) | |||||||
\(168\) | −2.17945 | + | 3.77492i | −0.168148 | + | 0.291241i | ||||
\(169\) | −1.50000 | + | 2.59808i | −0.115385 | + | 0.199852i | ||||
\(170\) | 3.35890 | 0.257616 | ||||||||
\(171\) | 4.35890 | 0.333333 | ||||||||
\(172\) | −10.0000 | −0.762493 | ||||||||
\(173\) | −9.17945 | + | 15.8993i | −0.697901 | + | 1.20880i | 0.271292 | + | 0.962497i | \(0.412549\pi\) |
−0.969193 | + | 0.246302i | \(0.920784\pi\) | |||||||
\(174\) | 4.67945 | − | 8.10504i | 0.354748 | − | 0.614442i | ||||
\(175\) | 2.17945 | + | 3.77492i | 0.164751 | + | 0.285357i | ||||
\(176\) | 1.50000 | − | 2.59808i | 0.113067 | − | 0.195837i | ||||
\(177\) | −6.35890 | − | 11.0139i | −0.477964 | − | 0.827858i | ||||
\(178\) | −0.358899 | −0.0269006 | ||||||||
\(179\) | 15.7178 | 1.17480 | 0.587402 | − | 0.809296i | \(-0.300151\pi\) | ||||
0.587402 | + | 0.809296i | \(0.300151\pi\) | |||||||
\(180\) | 0.500000 | + | 0.866025i | 0.0372678 | + | 0.0645497i | ||||
\(181\) | −9.03835 | − | 15.6549i | −0.671815 | − | 1.16362i | −0.977389 | − | 0.211450i | \(-0.932182\pi\) |
0.305574 | − | 0.952168i | \(-0.401152\pi\) | |||||||
\(182\) | −17.4356 | −1.29241 | ||||||||
\(183\) | 5.35890 | 0.396141 | ||||||||
\(184\) | −1.50000 | − | 2.59808i | −0.110581 | − | 0.191533i | ||||
\(185\) | −3.50000 | + | 6.06218i | −0.257325 | + | 0.445700i | ||||
\(186\) | −5.35890 | − | 9.28189i | −0.392934 | − | 0.680581i | ||||
\(187\) | 5.03835 | − | 8.72668i | 0.368441 | − | 0.638158i | ||||
\(188\) | 3.00000 | − | 5.19615i | 0.218797 | − | 0.378968i | ||||
\(189\) | −4.35890 | −0.317063 | ||||||||
\(190\) | 4.35890 | 0.316228 | ||||||||
\(191\) | −19.4356 | −1.40631 | −0.703155 | − | 0.711036i | \(-0.748226\pi\) | ||||
−0.703155 | + | 0.711036i | \(0.748226\pi\) | |||||||
\(192\) | −0.500000 | + | 0.866025i | −0.0360844 | + | 0.0625000i | ||||
\(193\) | −12.0383 | + | 20.8510i | −0.866539 | + | 1.50089i | −0.00102867 | + | 0.999999i | \(0.500327\pi\) |
−0.865511 | + | 0.500891i | \(0.833006\pi\) | |||||||
\(194\) | −7.03835 | − | 12.1908i | −0.505324 | − | 0.875247i | ||||
\(195\) | −2.00000 | + | 3.46410i | −0.143223 | + | 0.248069i | ||||
\(196\) | −6.00000 | − | 10.3923i | −0.428571 | − | 0.742307i | ||||
\(197\) | −5.64110 | −0.401912 | −0.200956 | − | 0.979600i | \(-0.564405\pi\) | ||||
−0.200956 | + | 0.979600i | \(0.564405\pi\) | |||||||
\(198\) | 3.00000 | 0.213201 | ||||||||
\(199\) | −8.32055 | − | 14.4116i | −0.589828 | − | 1.02161i | −0.994255 | − | 0.107042i | \(-0.965862\pi\) |
0.404426 | − | 0.914571i | \(-0.367471\pi\) | |||||||
\(200\) | 0.500000 | + | 0.866025i | 0.0353553 | + | 0.0612372i | ||||
\(201\) | 11.3589 | 0.801195 | ||||||||
\(202\) | 12.7178 | 0.894821 | ||||||||
\(203\) | 20.3972 | + | 35.3291i | 1.43161 | + | 2.47961i | ||||
\(204\) | −1.67945 | + | 2.90889i | −0.117585 | + | 0.203663i | ||||
\(205\) | −3.17945 | − | 5.50697i | −0.222062 | − | 0.384623i | ||||
\(206\) | −5.17945 | + | 8.97107i | −0.360869 | + | 0.625044i | ||||
\(207\) | 1.50000 | − | 2.59808i | 0.104257 | − | 0.180579i | ||||
\(208\) | −4.00000 | −0.277350 | ||||||||
\(209\) | 6.53835 | − | 11.3248i | 0.452267 | − | 0.783349i | ||||
\(210\) | −4.35890 | −0.300793 | ||||||||
\(211\) | −7.53835 | + | 13.0568i | −0.518961 | + | 0.898867i | 0.480796 | + | 0.876833i | \(0.340348\pi\) |
−0.999757 | + | 0.0220348i | \(0.992986\pi\) | |||||||
\(212\) | 6.53835 | − | 11.3248i | 0.449056 | − | 0.777787i | ||||
\(213\) | 5.03835 | + | 8.72668i | 0.345222 | + | 0.597942i | ||||
\(214\) | 4.67945 | − | 8.10504i | 0.319881 | − | 0.554049i | ||||
\(215\) | −5.00000 | − | 8.66025i | −0.340997 | − | 0.590624i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | 46.7178 | 3.17141 | ||||||||
\(218\) | 5.32055 | + | 9.21546i | 0.360353 | + | 0.624150i | ||||
\(219\) | −2.32055 | − | 4.01931i | −0.156808 | − | 0.271600i | ||||
\(220\) | 3.00000 | 0.202260 | ||||||||
\(221\) | −13.4356 | −0.903776 | ||||||||
\(222\) | −3.50000 | − | 6.06218i | −0.234905 | − | 0.406867i | ||||
\(223\) | −10.1794 | + | 17.6313i | −0.681666 | + | 1.18068i | 0.292806 | + | 0.956172i | \(0.405411\pi\) |
−0.974472 | + | 0.224509i | \(0.927922\pi\) | |||||||
\(224\) | −2.17945 | − | 3.77492i | −0.145621 | − | 0.252222i | ||||
\(225\) | −0.500000 | + | 0.866025i | −0.0333333 | + | 0.0577350i | ||||
\(226\) | 1.67945 | − | 2.90889i | 0.111715 | − | 0.193497i | ||||
\(227\) | −3.35890 | −0.222938 | −0.111469 | − | 0.993768i | \(-0.535556\pi\) | ||||
−0.111469 | + | 0.993768i | \(0.535556\pi\) | |||||||
\(228\) | −2.17945 | + | 3.77492i | −0.144338 | + | 0.250000i | ||||
\(229\) | 8.71780 | 0.576088 | 0.288044 | − | 0.957617i | \(-0.406995\pi\) | ||||
0.288044 | + | 0.957617i | \(0.406995\pi\) | |||||||
\(230\) | 1.50000 | − | 2.59808i | 0.0989071 | − | 0.171312i | ||||
\(231\) | −6.53835 | + | 11.3248i | −0.430192 | + | 0.745114i | ||||
\(232\) | 4.67945 | + | 8.10504i | 0.307221 | + | 0.532122i | ||||
\(233\) | −3.00000 | + | 5.19615i | −0.196537 | + | 0.340411i | −0.947403 | − | 0.320043i | \(-0.896303\pi\) |
0.750867 | + | 0.660454i | \(0.229636\pi\) | |||||||
\(234\) | −2.00000 | − | 3.46410i | −0.130744 | − | 0.226455i | ||||
\(235\) | 6.00000 | 0.391397 | ||||||||
\(236\) | 12.7178 | 0.827858 | ||||||||
\(237\) | 2.35890 | + | 4.08573i | 0.153227 | + | 0.265397i | ||||
\(238\) | −7.32055 | − | 12.6796i | −0.474521 | − | 0.821894i | ||||
\(239\) | −13.4356 | −0.869076 | −0.434538 | − | 0.900653i | \(-0.643088\pi\) | ||||
−0.434538 | + | 0.900653i | \(0.643088\pi\) | |||||||
\(240\) | −1.00000 | −0.0645497 | ||||||||
\(241\) | 2.00000 | + | 3.46410i | 0.128831 | + | 0.223142i | 0.923224 | − | 0.384262i | \(-0.125544\pi\) |
−0.794393 | + | 0.607404i | \(0.792211\pi\) | |||||||
\(242\) | −1.00000 | + | 1.73205i | −0.0642824 | + | 0.111340i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −2.67945 | + | 4.64094i | −0.171534 | + | 0.297106i | ||||
\(245\) | 6.00000 | − | 10.3923i | 0.383326 | − | 0.663940i | ||||
\(246\) | 6.35890 | 0.405429 | ||||||||
\(247\) | −17.4356 | −1.10940 | ||||||||
\(248\) | 10.7178 | 0.680581 | ||||||||
\(249\) | 3.00000 | − | 5.19615i | 0.190117 | − | 0.329293i | ||||
\(250\) | −0.500000 | + | 0.866025i | −0.0316228 | + | 0.0547723i | ||||
\(251\) | 6.00000 | + | 10.3923i | 0.378717 | + | 0.655956i | 0.990876 | − | 0.134778i | \(-0.0430322\pi\) |
−0.612159 | + | 0.790735i | \(0.709699\pi\) | |||||||
\(252\) | 2.17945 | − | 3.77492i | 0.137292 | − | 0.237797i | ||||
\(253\) | −4.50000 | − | 7.79423i | −0.282913 | − | 0.490019i | ||||
\(254\) | 10.3589 | 0.649975 | ||||||||
\(255\) | −3.35890 | −0.210342 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 3.71780 | + | 6.43941i | 0.231910 | + | 0.401680i | 0.958370 | − | 0.285529i | \(-0.0921692\pi\) |
−0.726460 | + | 0.687208i | \(0.758836\pi\) | |||||||
\(258\) | 10.0000 | 0.622573 | ||||||||
\(259\) | 30.5123 | 1.89594 | ||||||||
\(260\) | −2.00000 | − | 3.46410i | −0.124035 | − | 0.214834i | ||||
\(261\) | −4.67945 | + | 8.10504i | −0.289651 | + | 0.501690i | ||||
\(262\) | −1.50000 | − | 2.59808i | −0.0926703 | − | 0.160510i | ||||
\(263\) | 4.14110 | − | 7.17260i | 0.255351 | − | 0.442281i | −0.709640 | − | 0.704565i | \(-0.751142\pi\) |
0.964991 | + | 0.262284i | \(0.0844756\pi\) | |||||||
\(264\) | −1.50000 | + | 2.59808i | −0.0923186 | + | 0.159901i | ||||
\(265\) | 13.0767 | 0.803295 | ||||||||
\(266\) | −9.50000 | − | 16.4545i | −0.582482 | − | 1.00889i | ||||
\(267\) | 0.358899 | 0.0219643 | ||||||||
\(268\) | −5.67945 | + | 9.83710i | −0.346928 | + | 0.600896i | ||||
\(269\) | −1.67945 | + | 2.90889i | −0.102398 | + | 0.177358i | −0.912672 | − | 0.408693i | \(-0.865985\pi\) |
0.810274 | + | 0.586051i | \(0.199318\pi\) | |||||||
\(270\) | −0.500000 | − | 0.866025i | −0.0304290 | − | 0.0527046i | ||||
\(271\) | 2.35890 | − | 4.08573i | 0.143293 | − | 0.248191i | −0.785442 | − | 0.618935i | \(-0.787564\pi\) |
0.928735 | + | 0.370745i | \(0.120898\pi\) | |||||||
\(272\) | −1.67945 | − | 2.90889i | −0.101832 | − | 0.176377i | ||||
\(273\) | 17.4356 | 1.05525 | ||||||||
\(274\) | −12.0000 | −0.724947 | ||||||||
\(275\) | 1.50000 | + | 2.59808i | 0.0904534 | + | 0.156670i | ||||
\(276\) | 1.50000 | + | 2.59808i | 0.0902894 | + | 0.156386i | ||||
\(277\) | −4.00000 | −0.240337 | −0.120168 | − | 0.992754i | \(-0.538343\pi\) | ||||
−0.120168 | + | 0.992754i | \(0.538343\pi\) | |||||||
\(278\) | −1.28220 | −0.0769014 | ||||||||
\(279\) | 5.35890 | + | 9.28189i | 0.320829 | + | 0.555692i | ||||
\(280\) | 2.17945 | − | 3.77492i | 0.130247 | − | 0.225594i | ||||
\(281\) | −0.538348 | − | 0.932447i | −0.0321152 | − | 0.0556251i | 0.849521 | − | 0.527555i | \(-0.176891\pi\) |
−0.881636 | + | 0.471930i | \(0.843558\pi\) | |||||||
\(282\) | −3.00000 | + | 5.19615i | −0.178647 | + | 0.309426i | ||||
\(283\) | −4.35890 | + | 7.54983i | −0.259110 | + | 0.448791i | −0.966004 | − | 0.258528i | \(-0.916762\pi\) |
0.706894 | + | 0.707319i | \(0.250096\pi\) | |||||||
\(284\) | −10.0767 | −0.597942 | ||||||||
\(285\) | −4.35890 | −0.258199 | ||||||||
\(286\) | −12.0000 | −0.709575 | ||||||||
\(287\) | −13.8589 | + | 24.0043i | −0.818065 | + | 1.41693i | ||||
\(288\) | 0.500000 | − | 0.866025i | 0.0294628 | − | 0.0510310i | ||||
\(289\) | 2.85890 | + | 4.95176i | 0.168171 | + | 0.291280i | ||||
\(290\) | −4.67945 | + | 8.10504i | −0.274787 | + | 0.475945i | ||||
\(291\) | 7.03835 | + | 12.1908i | 0.412595 | + | 0.714636i | ||||
\(292\) | 4.64110 | 0.271600 | ||||||||
\(293\) | 5.64110 | 0.329557 | 0.164778 | − | 0.986331i | \(-0.447309\pi\) | ||||
0.164778 | + | 0.986331i | \(0.447309\pi\) | |||||||
\(294\) | 6.00000 | + | 10.3923i | 0.349927 | + | 0.606092i | ||||
\(295\) | 6.35890 | + | 11.0139i | 0.370229 | + | 0.641256i | ||||
\(296\) | 7.00000 | 0.406867 | ||||||||
\(297\) | −3.00000 | −0.174078 | ||||||||
\(298\) | −5.03835 | − | 8.72668i | −0.291864 | − | 0.505523i | ||||
\(299\) | −6.00000 | + | 10.3923i | −0.346989 | + | 0.601003i | ||||
\(300\) | −0.500000 | − | 0.866025i | −0.0288675 | − | 0.0500000i | ||||
\(301\) | −21.7945 | + | 37.7492i | −1.25621 | + | 2.17583i | ||||
\(302\) | −1.03835 | + | 1.79847i | −0.0597502 | + | 0.103490i | ||||
\(303\) | −12.7178 | −0.730618 | ||||||||
\(304\) | −2.17945 | − | 3.77492i | −0.125000 | − | 0.216506i | ||||
\(305\) | −5.35890 | −0.306850 | ||||||||
\(306\) | 1.67945 | − | 2.90889i | 0.0960077 | − | 0.166290i | ||||
\(307\) | 0.679449 | − | 1.17684i | 0.0387782 | − | 0.0671659i | −0.845985 | − | 0.533207i | \(-0.820987\pi\) |
0.884763 | + | 0.466041i | \(0.154320\pi\) | |||||||
\(308\) | −6.53835 | − | 11.3248i | −0.372557 | − | 0.645288i | ||||
\(309\) | 5.17945 | − | 8.97107i | 0.294649 | − | 0.510346i | ||||
\(310\) | 5.35890 | + | 9.28189i | 0.304365 | + | 0.527176i | ||||
\(311\) | 1.43560 | 0.0814052 | 0.0407026 | − | 0.999171i | \(-0.487040\pi\) | ||||
0.0407026 | + | 0.999171i | \(0.487040\pi\) | |||||||
\(312\) | 4.00000 | 0.226455 | ||||||||
\(313\) | 8.71780 | + | 15.0997i | 0.492759 | + | 0.853484i | 0.999965 | − | 0.00834102i | \(-0.00265506\pi\) |
−0.507206 | + | 0.861825i | \(0.669322\pi\) | |||||||
\(314\) | 2.50000 | + | 4.33013i | 0.141083 | + | 0.244363i | ||||
\(315\) | 4.35890 | 0.245596 | ||||||||
\(316\) | −4.71780 | −0.265397 | ||||||||
\(317\) | −9.53835 | − | 16.5209i | −0.535727 | − | 0.927906i | −0.999128 | − | 0.0417576i | \(-0.986704\pi\) |
0.463401 | − | 0.886149i | \(-0.346629\pi\) | |||||||
\(318\) | −6.53835 | + | 11.3248i | −0.366652 | + | 0.635061i | ||||
\(319\) | 14.0383 | + | 24.3151i | 0.785997 | + | 1.36139i | ||||
\(320\) | 0.500000 | − | 0.866025i | 0.0279508 | − | 0.0484123i | ||||
\(321\) | −4.67945 | + | 8.10504i | −0.261181 | + | 0.452379i | ||||
\(322\) | −13.0767 | −0.728736 | ||||||||
\(323\) | −7.32055 | − | 12.6796i | −0.407326 | − | 0.705510i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 2.00000 | − | 3.46410i | 0.110940 | − | 0.192154i | ||||
\(326\) | −2.35890 | + | 4.08573i | −0.130647 | + | 0.226288i | ||||
\(327\) | −5.32055 | − | 9.21546i | −0.294227 | − | 0.509616i | ||||
\(328\) | −3.17945 | + | 5.50697i | −0.175556 | + | 0.304071i | ||||
\(329\) | −13.0767 | − | 22.6495i | −0.720942 | − | 1.24871i | ||||
\(330\) | −3.00000 | −0.165145 | ||||||||
\(331\) | 14.3589 | 0.789236 | 0.394618 | − | 0.918845i | \(-0.370877\pi\) | ||||
0.394618 | + | 0.918845i | \(0.370877\pi\) | |||||||
\(332\) | 3.00000 | + | 5.19615i | 0.164646 | + | 0.285176i | ||||
\(333\) | 3.50000 | + | 6.06218i | 0.191799 | + | 0.332205i | ||||
\(334\) | 22.4356 | 1.22762 | ||||||||
\(335\) | −11.3589 | −0.620603 | ||||||||
\(336\) | 2.17945 | + | 3.77492i | 0.118899 | + | 0.205939i | ||||
\(337\) | −11.0767 | + | 19.1854i | −0.603386 | + | 1.04510i | 0.388918 | + | 0.921272i | \(0.372849\pi\) |
−0.992304 | + | 0.123823i | \(0.960484\pi\) | |||||||
\(338\) | 1.50000 | + | 2.59808i | 0.0815892 | + | 0.141317i | ||||
\(339\) | −1.67945 | + | 2.90889i | −0.0912152 | + | 0.157989i | ||||
\(340\) | 1.67945 | − | 2.90889i | 0.0910809 | − | 0.157757i | ||||
\(341\) | 32.1534 | 1.74120 | ||||||||
\(342\) | 2.17945 | − | 3.77492i | 0.117851 | − | 0.204124i | ||||
\(343\) | −21.7945 | −1.17679 | ||||||||
\(344\) | −5.00000 | + | 8.66025i | −0.269582 | + | 0.466930i | ||||
\(345\) | −1.50000 | + | 2.59808i | −0.0807573 | + | 0.139876i | ||||
\(346\) | 9.17945 | + | 15.8993i | 0.493490 | + | 0.854750i | ||||
\(347\) | 3.71780 | − | 6.43941i | 0.199582 | − | 0.345686i | −0.748811 | − | 0.662784i | \(-0.769375\pi\) |
0.948393 | + | 0.317098i | \(0.102708\pi\) | |||||||
\(348\) | −4.67945 | − | 8.10504i | −0.250845 | − | 0.434476i | ||||
\(349\) | 0.0766968 | 0.00410549 | 0.00205274 | − | 0.999998i | \(-0.499347\pi\) | ||||
0.00205274 | + | 0.999998i | \(0.499347\pi\) | |||||||
\(350\) | 4.35890 | 0.232993 | ||||||||
\(351\) | 2.00000 | + | 3.46410i | 0.106752 | + | 0.184900i | ||||
\(352\) | −1.50000 | − | 2.59808i | −0.0799503 | − | 0.138478i | ||||
\(353\) | −10.0767 | −0.536328 | −0.268164 | − | 0.963373i | \(-0.586417\pi\) | ||||
−0.268164 | + | 0.963373i | \(0.586417\pi\) | |||||||
\(354\) | −12.7178 | −0.675943 | ||||||||
\(355\) | −5.03835 | − | 8.72668i | −0.267408 | − | 0.463164i | ||||
\(356\) | −0.179449 | + | 0.310816i | −0.00951080 | + | 0.0164732i | ||||
\(357\) | 7.32055 | + | 12.6796i | 0.387445 | + | 0.671074i | ||||
\(358\) | 7.85890 | − | 13.6120i | 0.415356 | − | 0.719417i | ||||
\(359\) | −7.67945 | + | 13.3012i | −0.405306 | + | 0.702010i | −0.994357 | − | 0.106085i | \(-0.966168\pi\) |
0.589051 | + | 0.808096i | \(0.299502\pi\) | |||||||
\(360\) | 1.00000 | 0.0527046 | ||||||||
\(361\) | −9.50000 | − | 16.4545i | −0.500000 | − | 0.866025i | ||||
\(362\) | −18.0767 | −0.950090 | ||||||||
\(363\) | 1.00000 | − | 1.73205i | 0.0524864 | − | 0.0909091i | ||||
\(364\) | −8.71780 | + | 15.0997i | −0.456937 | + | 0.791438i | ||||
\(365\) | 2.32055 | + | 4.01931i | 0.121463 | + | 0.210380i | ||||
\(366\) | 2.67945 | − | 4.64094i | 0.140057 | − | 0.242586i | ||||
\(367\) | −7.35890 | − | 12.7460i | −0.384131 | − | 0.665335i | 0.607517 | − | 0.794307i | \(-0.292166\pi\) |
−0.991648 | + | 0.128972i | \(0.958832\pi\) | |||||||
\(368\) | −3.00000 | −0.156386 | ||||||||
\(369\) | −6.35890 | −0.331031 | ||||||||
\(370\) | 3.50000 | + | 6.06218i | 0.181956 | + | 0.315158i | ||||
\(371\) | −28.5000 | − | 49.3634i | −1.47965 | − | 2.56282i | ||||
\(372\) | −10.7178 | −0.555692 | ||||||||
\(373\) | 11.0000 | 0.569558 | 0.284779 | − | 0.958593i | \(-0.408080\pi\) | ||||
0.284779 | + | 0.958593i | \(0.408080\pi\) | |||||||
\(374\) | −5.03835 | − | 8.72668i | −0.260527 | − | 0.451246i | ||||
\(375\) | 0.500000 | − | 0.866025i | 0.0258199 | − | 0.0447214i | ||||
\(376\) | −3.00000 | − | 5.19615i | −0.154713 | − | 0.267971i | ||||
\(377\) | 18.7178 | − | 32.4202i | 0.964016 | − | 1.66972i | ||||
\(378\) | −2.17945 | + | 3.77492i | −0.112099 | + | 0.194161i | ||||
\(379\) | 14.7178 | 0.756002 | 0.378001 | − | 0.925805i | \(-0.376611\pi\) | ||||
0.378001 | + | 0.925805i | \(0.376611\pi\) | |||||||
\(380\) | 2.17945 | − | 3.77492i | 0.111803 | − | 0.193649i | ||||
\(381\) | −10.3589 | −0.530702 | ||||||||
\(382\) | −9.71780 | + | 16.8317i | −0.497206 | + | 0.861186i | ||||
\(383\) | −3.00000 | + | 5.19615i | −0.153293 | + | 0.265511i | −0.932436 | − | 0.361335i | \(-0.882321\pi\) |
0.779143 | + | 0.626846i | \(0.215654\pi\) | |||||||
\(384\) | 0.500000 | + | 0.866025i | 0.0255155 | + | 0.0441942i | ||||
\(385\) | 6.53835 | − | 11.3248i | 0.333225 | − | 0.577163i | ||||
\(386\) | 12.0383 | + | 20.8510i | 0.612736 | + | 1.06129i | ||||
\(387\) | −10.0000 | −0.508329 | ||||||||
\(388\) | −14.0767 | −0.714636 | ||||||||
\(389\) | −2.03835 | − | 3.53052i | −0.103348 | − | 0.179005i | 0.809714 | − | 0.586825i | \(-0.199622\pi\) |
−0.913062 | + | 0.407820i | \(0.866289\pi\) | |||||||
\(390\) | 2.00000 | + | 3.46410i | 0.101274 | + | 0.175412i | ||||
\(391\) | −10.0767 | −0.509600 | ||||||||
\(392\) | −12.0000 | −0.606092 | ||||||||
\(393\) | 1.50000 | + | 2.59808i | 0.0756650 | + | 0.131056i | ||||
\(394\) | −2.82055 | + | 4.88534i | −0.142097 | + | 0.246120i | ||||
\(395\) | −2.35890 | − | 4.08573i | −0.118689 | − | 0.205576i | ||||
\(396\) | 1.50000 | − | 2.59808i | 0.0753778 | − | 0.130558i | ||||
\(397\) | −3.21780 | + | 5.57339i | −0.161497 | + | 0.279720i | −0.935406 | − | 0.353576i | \(-0.884965\pi\) |
0.773909 | + | 0.633297i | \(0.218299\pi\) | |||||||
\(398\) | −16.6411 | −0.834143 | ||||||||
\(399\) | 9.50000 | + | 16.4545i | 0.475595 | + | 0.823754i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | 9.00000 | − | 15.5885i | 0.449439 | − | 0.778450i | −0.548911 | − | 0.835881i | \(-0.684957\pi\) |
0.998350 | + | 0.0574304i | \(0.0182907\pi\) | |||||||
\(402\) | 5.67945 | − | 9.83710i | 0.283265 | − | 0.490630i | ||||
\(403\) | −21.4356 | − | 37.1275i | −1.06778 | − | 1.84945i | ||||
\(404\) | 6.35890 | − | 11.0139i | 0.316367 | − | 0.547964i | ||||
\(405\) | 0.500000 | + | 0.866025i | 0.0248452 | + | 0.0430331i | ||||
\(406\) | 40.7945 | 2.02460 | ||||||||
\(407\) | 21.0000 | 1.04093 | ||||||||
\(408\) | 1.67945 | + | 2.90889i | 0.0831451 | + | 0.144012i | ||||
\(409\) | −5.50000 | − | 9.52628i | −0.271957 | − | 0.471044i | 0.697406 | − | 0.716677i | \(-0.254338\pi\) |
−0.969363 | + | 0.245633i | \(0.921004\pi\) | |||||||
\(410\) | −6.35890 | −0.314044 | ||||||||
\(411\) | 12.0000 | 0.591916 | ||||||||
\(412\) | 5.17945 | + | 8.97107i | 0.255173 | + | 0.441973i | ||||
\(413\) | 27.7178 | − | 48.0086i | 1.36390 | − | 2.36235i | ||||
\(414\) | −1.50000 | − | 2.59808i | −0.0737210 | − | 0.127688i | ||||
\(415\) | −3.00000 | + | 5.19615i | −0.147264 | + | 0.255069i | ||||
\(416\) | −2.00000 | + | 3.46410i | −0.0980581 | + | 0.169842i | ||||
\(417\) | 1.28220 | 0.0627897 | ||||||||
\(418\) | −6.53835 | − | 11.3248i | −0.319801 | − | 0.553912i | ||||
\(419\) | 15.7178 | 0.767865 | 0.383932 | − | 0.923361i | \(-0.374570\pi\) | ||||
0.383932 | + | 0.923361i | \(0.374570\pi\) | |||||||
\(420\) | −2.17945 | + | 3.77492i | −0.106346 | + | 0.184197i | ||||
\(421\) | −18.0383 | + | 31.2433i | −0.879135 | + | 1.52271i | −0.0268440 | + | 0.999640i | \(0.508546\pi\) |
−0.852291 | + | 0.523067i | \(0.824788\pi\) | |||||||
\(422\) | 7.53835 | + | 13.0568i | 0.366961 | + | 0.635595i | ||||
\(423\) | 3.00000 | − | 5.19615i | 0.145865 | − | 0.252646i | ||||
\(424\) | −6.53835 | − | 11.3248i | −0.317530 | − | 0.549979i | ||||
\(425\) | 3.35890 | 0.162931 | ||||||||
\(426\) | 10.0767 | 0.488218 | ||||||||
\(427\) | 11.6794 | + | 20.2294i | 0.565208 | + | 0.978969i | ||||
\(428\) | −4.67945 | − | 8.10504i | −0.226190 | − | 0.391772i | ||||
\(429\) | 12.0000 | 0.579365 | ||||||||
\(430\) | −10.0000 | −0.482243 | ||||||||
\(431\) | −5.39725 | − | 9.34831i | −0.259976 | − | 0.450292i | 0.706259 | − | 0.707954i | \(-0.250381\pi\) |
−0.966235 | + | 0.257661i | \(0.917048\pi\) | |||||||
\(432\) | −0.500000 | + | 0.866025i | −0.0240563 | + | 0.0416667i | ||||
\(433\) | −18.3972 | − | 31.8650i | −0.884115 | − | 1.53133i | −0.846724 | − | 0.532032i | \(-0.821429\pi\) |
−0.0373910 | − | 0.999301i | \(-0.511905\pi\) | |||||||
\(434\) | 23.3589 | − | 40.4588i | 1.12126 | − | 1.94208i | ||||
\(435\) | 4.67945 | − | 8.10504i | 0.224362 | − | 0.388607i | ||||
\(436\) | 10.6411 | 0.509616 | ||||||||
\(437\) | −13.0767 | −0.625543 | ||||||||
\(438\) | −4.64110 | −0.221760 | ||||||||
\(439\) | −11.6794 | + | 20.2294i | −0.557430 | + | 0.965497i | 0.440280 | + | 0.897860i | \(0.354879\pi\) |
−0.997710 | + | 0.0676362i | \(0.978454\pi\) | |||||||
\(440\) | 1.50000 | − | 2.59808i | 0.0715097 | − | 0.123858i | ||||
\(441\) | −6.00000 | − | 10.3923i | −0.285714 | − | 0.494872i | ||||
\(442\) | −6.71780 | + | 11.6356i | −0.319533 | + | 0.553447i | ||||
\(443\) | 1.32055 | + | 2.28726i | 0.0627412 | + | 0.108671i | 0.895690 | − | 0.444679i | \(-0.146682\pi\) |
−0.832949 | + | 0.553350i | \(0.813349\pi\) | |||||||
\(444\) | −7.00000 | −0.332205 | ||||||||
\(445\) | −0.358899 | −0.0170134 | ||||||||
\(446\) | 10.1794 | + | 17.6313i | 0.482011 | + | 0.834867i | ||||
\(447\) | 5.03835 | + | 8.72668i | 0.238306 | + | 0.412758i | ||||
\(448\) | −4.35890 | −0.205939 | ||||||||
\(449\) | 0.358899 | 0.0169375 | 0.00846874 | − | 0.999964i | \(-0.497304\pi\) | ||||
0.00846874 | + | 0.999964i | \(0.497304\pi\) | |||||||
\(450\) | 0.500000 | + | 0.866025i | 0.0235702 | + | 0.0408248i | ||||
\(451\) | −9.53835 | + | 16.5209i | −0.449143 | + | 0.777939i | ||||
\(452\) | −1.67945 | − | 2.90889i | −0.0789947 | − | 0.136823i | ||||
\(453\) | 1.03835 | − | 1.79847i | 0.0487859 | − | 0.0844996i | ||||
\(454\) | −1.67945 | + | 2.90889i | −0.0788205 | + | 0.136521i | ||||
\(455\) | −17.4356 | −0.817393 | ||||||||
\(456\) | 2.17945 | + | 3.77492i | 0.102062 | + | 0.176777i | ||||
\(457\) | −30.6411 | −1.43333 | −0.716665 | − | 0.697417i | \(-0.754332\pi\) | ||||
−0.716665 | + | 0.697417i | \(0.754332\pi\) | |||||||
\(458\) | 4.35890 | − | 7.54983i | 0.203678 | − | 0.352781i | ||||
\(459\) | −1.67945 | + | 2.90889i | −0.0783900 | + | 0.135775i | ||||
\(460\) | −1.50000 | − | 2.59808i | −0.0699379 | − | 0.121136i | ||||
\(461\) | −9.00000 | + | 15.5885i | −0.419172 | + | 0.726027i | −0.995856 | − | 0.0909401i | \(-0.971013\pi\) |
0.576685 | + | 0.816967i | \(0.304346\pi\) | |||||||
\(462\) | 6.53835 | + | 11.3248i | 0.304191 | + | 0.526875i | ||||
\(463\) | −17.7945 | −0.826980 | −0.413490 | − | 0.910509i | \(-0.635690\pi\) | ||||
−0.413490 | + | 0.910509i | \(0.635690\pi\) | |||||||
\(464\) | 9.35890 | 0.434476 | ||||||||
\(465\) | −5.35890 | − | 9.28189i | −0.248513 | − | 0.430437i | ||||
\(466\) | 3.00000 | + | 5.19615i | 0.138972 | + | 0.240707i | ||||
\(467\) | 28.7945 | 1.33245 | 0.666225 | − | 0.745751i | \(-0.267909\pi\) | ||||
0.666225 | + | 0.745751i | \(0.267909\pi\) | |||||||
\(468\) | −4.00000 | −0.184900 | ||||||||
\(469\) | 24.7561 | + | 42.8789i | 1.14313 | + | 1.97996i | ||||
\(470\) | 3.00000 | − | 5.19615i | 0.138380 | − | 0.239681i | ||||
\(471\) | −2.50000 | − | 4.33013i | −0.115194 | − | 0.199522i | ||||
\(472\) | 6.35890 | − | 11.0139i | 0.292692 | − | 0.506957i | ||||
\(473\) | −15.0000 | + | 25.9808i | −0.689701 | + | 1.19460i | ||||
\(474\) | 4.71780 | 0.216696 | ||||||||
\(475\) | 4.35890 | 0.200000 | ||||||||
\(476\) | −14.6411 | −0.671074 | ||||||||
\(477\) | 6.53835 | − | 11.3248i | 0.299370 | − | 0.518525i | ||||
\(478\) | −6.71780 | + | 11.6356i | −0.307265 | + | 0.532198i | ||||
\(479\) | 11.0383 | + | 19.1190i | 0.504355 | + | 0.873569i | 0.999987 | + | 0.00503606i | \(0.00160303\pi\) |
−0.495632 | + | 0.868532i | \(0.665064\pi\) | |||||||
\(480\) | −0.500000 | + | 0.866025i | −0.0228218 | + | 0.0395285i | ||||
\(481\) | −14.0000 | − | 24.2487i | −0.638345 | − | 1.10565i | ||||
\(482\) | 4.00000 | 0.182195 | ||||||||
\(483\) | 13.0767 | 0.595010 | ||||||||
\(484\) | 1.00000 | + | 1.73205i | 0.0454545 | + | 0.0787296i | ||||
\(485\) | −7.03835 | − | 12.1908i | −0.319595 | − | 0.553555i | ||||
\(486\) | −1.00000 | −0.0453609 | ||||||||
\(487\) | −9.64110 | −0.436880 | −0.218440 | − | 0.975850i | \(-0.570097\pi\) | ||||
−0.218440 | + | 0.975850i | \(0.570097\pi\) | |||||||
\(488\) | 2.67945 | + | 4.64094i | 0.121293 | + | 0.210086i | ||||
\(489\) | 2.35890 | − | 4.08573i | 0.106673 | − | 0.184763i | ||||
\(490\) | −6.00000 | − | 10.3923i | −0.271052 | − | 0.469476i | ||||
\(491\) | −7.50000 | + | 12.9904i | −0.338470 | + | 0.586248i | −0.984145 | − | 0.177365i | \(-0.943243\pi\) |
0.645675 | + | 0.763612i | \(0.276576\pi\) | |||||||
\(492\) | 3.17945 | − | 5.50697i | 0.143341 | − | 0.248273i | ||||
\(493\) | 31.4356 | 1.41579 | ||||||||
\(494\) | −8.71780 | + | 15.0997i | −0.392232 | + | 0.679366i | ||||
\(495\) | 3.00000 | 0.134840 | ||||||||
\(496\) | 5.35890 | − | 9.28189i | 0.240622 | − | 0.416769i | ||||
\(497\) | −21.9617 | + | 38.0387i | −0.985115 | + | 1.70627i | ||||
\(498\) | −3.00000 | − | 5.19615i | −0.134433 | − | 0.232845i | ||||
\(499\) | 7.82055 | − | 13.5456i | 0.350096 | − | 0.606384i | −0.636170 | − | 0.771549i | \(-0.719482\pi\) |
0.986266 | + | 0.165165i | \(0.0528157\pi\) | |||||||
\(500\) | 0.500000 | + | 0.866025i | 0.0223607 | + | 0.0387298i | ||||
\(501\) | −22.4356 | −1.00235 | ||||||||
\(502\) | 12.0000 | 0.535586 | ||||||||
\(503\) | −14.9356 | − | 25.8692i | −0.665945 | − | 1.15345i | −0.979028 | − | 0.203725i | \(-0.934695\pi\) |
0.313083 | − | 0.949726i | \(-0.398638\pi\) | |||||||
\(504\) | −2.17945 | − | 3.77492i | −0.0970804 | − | 0.168148i | ||||
\(505\) | 12.7178 | 0.565935 | ||||||||
\(506\) | −9.00000 | −0.400099 | ||||||||
\(507\) | −1.50000 | − | 2.59808i | −0.0666173 | − | 0.115385i | ||||
\(508\) | 5.17945 | − | 8.97107i | 0.229801 | − | 0.398027i | ||||
\(509\) | −12.3589 | − | 21.4062i | −0.547799 | − | 0.948815i | −0.998425 | − | 0.0561023i | \(-0.982133\pi\) |
0.450626 | − | 0.892713i | \(-0.351201\pi\) | |||||||
\(510\) | −1.67945 | + | 2.90889i | −0.0743673 | + | 0.128808i | ||||
\(511\) | 10.1150 | − | 17.5198i | 0.447463 | − | 0.775029i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −2.17945 | + | 3.77492i | −0.0962250 | + | 0.166667i | ||||
\(514\) | 7.43560 | 0.327970 | ||||||||
\(515\) | −5.17945 | + | 8.97107i | −0.228234 | + | 0.395313i | ||||
\(516\) | 5.00000 | − | 8.66025i | 0.220113 | − | 0.381246i | ||||
\(517\) | −9.00000 | − | 15.5885i | −0.395820 | − | 0.685580i | ||||
\(518\) | 15.2561 | − | 26.4244i | 0.670317 | − | 1.16102i | ||||
\(519\) | −9.17945 | − | 15.8993i | −0.402933 | − | 0.697901i | ||||
\(520\) | −4.00000 | −0.175412 | ||||||||
\(521\) | 23.2822 | 1.02001 | 0.510006 | − | 0.860171i | \(-0.329643\pi\) | ||||
0.510006 | + | 0.860171i | \(0.329643\pi\) | |||||||
\(522\) | 4.67945 | + | 8.10504i | 0.204814 | + | 0.354748i | ||||
\(523\) | 19.3972 | + | 33.5970i | 0.848182 | + | 1.46910i | 0.882829 | + | 0.469695i | \(0.155636\pi\) |
−0.0346461 | + | 0.999400i | \(0.511030\pi\) | |||||||
\(524\) | −3.00000 | −0.131056 | ||||||||
\(525\) | −4.35890 | −0.190238 | ||||||||
\(526\) | −4.14110 | − | 7.17260i | −0.180561 | − | 0.312740i | ||||
\(527\) | 18.0000 | − | 31.1769i | 0.784092 | − | 1.35809i | ||||
\(528\) | 1.50000 | + | 2.59808i | 0.0652791 | + | 0.113067i | ||||
\(529\) | 7.00000 | − | 12.1244i | 0.304348 | − | 0.527146i | ||||
\(530\) | 6.53835 | − | 11.3248i | 0.284008 | − | 0.491916i | ||||
\(531\) | 12.7178 | 0.551905 | ||||||||
\(532\) | −19.0000 | −0.823754 | ||||||||
\(533\) | 25.4356 | 1.10174 | ||||||||
\(534\) | 0.179449 | − | 0.310816i | 0.00776554 | − | 0.0134503i | ||||
\(535\) | 4.67945 | − | 8.10504i | 0.202310 | − | 0.350412i | ||||
\(536\) | 5.67945 | + | 9.83710i | 0.245315 | + | 0.424898i | ||||
\(537\) | −7.85890 | + | 13.6120i | −0.339137 | + | 0.587402i | ||||
\(538\) | 1.67945 | + | 2.90889i | 0.0724062 | + | 0.125411i | ||||
\(539\) | −36.0000 | −1.55063 | ||||||||
\(540\) | −1.00000 | −0.0430331 | ||||||||
\(541\) | 4.64110 | + | 8.03862i | 0.199537 | + | 0.345607i | 0.948378 | − | 0.317142i | \(-0.102723\pi\) |
−0.748842 | + | 0.662749i | \(0.769390\pi\) | |||||||
\(542\) | −2.35890 | − | 4.08573i | −0.101323 | − | 0.175497i | ||||
\(543\) | 18.0767 | 0.775745 | ||||||||
\(544\) | −3.35890 | −0.144012 | ||||||||
\(545\) | 5.32055 | + | 9.21546i | 0.227907 | + | 0.394747i | ||||
\(546\) | 8.71780 | − | 15.0997i | 0.373087 | − | 0.646206i | ||||
\(547\) | 3.07670 | + | 5.32900i | 0.131550 | + | 0.227851i | 0.924274 | − | 0.381729i | \(-0.124671\pi\) |
−0.792724 | + | 0.609580i | \(0.791338\pi\) | |||||||
\(548\) | −6.00000 | + | 10.3923i | −0.256307 | + | 0.443937i | ||||
\(549\) | −2.67945 | + | 4.64094i | −0.114356 | + | 0.198071i | ||||
\(550\) | 3.00000 | 0.127920 | ||||||||
\(551\) | 40.7945 | 1.73790 | ||||||||
\(552\) | 3.00000 | 0.127688 | ||||||||
\(553\) | −10.2822 | + | 17.8093i | −0.437244 | + | 0.757328i | ||||
\(554\) | −2.00000 | + | 3.46410i | −0.0849719 | + | 0.147176i | ||||
\(555\) | −3.50000 | − | 6.06218i | −0.148567 | − | 0.257325i | ||||
\(556\) | −0.641101 | + | 1.11042i | −0.0271887 | + | 0.0470923i | ||||
\(557\) | 5.46165 | + | 9.45986i | 0.231418 | + | 0.400827i | 0.958226 | − | 0.286014i | \(-0.0923303\pi\) |
−0.726808 | + | 0.686841i | \(0.758997\pi\) | |||||||
\(558\) | 10.7178 | 0.453721 | ||||||||
\(559\) | 40.0000 | 1.69182 | ||||||||
\(560\) | −2.17945 | − | 3.77492i | −0.0920985 | − | 0.159519i | ||||
\(561\) | 5.03835 | + | 8.72668i | 0.212719 | + | 0.368441i | ||||
\(562\) | −1.07670 | −0.0454177 | ||||||||
\(563\) | 12.0000 | 0.505740 | 0.252870 | − | 0.967500i | \(-0.418626\pi\) | ||||
0.252870 | + | 0.967500i | \(0.418626\pi\) | |||||||
\(564\) | 3.00000 | + | 5.19615i | 0.126323 | + | 0.218797i | ||||
\(565\) | 1.67945 | − | 2.90889i | 0.0706550 | − | 0.122378i | ||||
\(566\) | 4.35890 | + | 7.54983i | 0.183218 | + | 0.317343i | ||||
\(567\) | 2.17945 | − | 3.77492i | 0.0915283 | − | 0.158532i | ||||
\(568\) | −5.03835 | + | 8.72668i | −0.211404 | + | 0.366163i | ||||
\(569\) | −37.7945 | −1.58443 | −0.792214 | − | 0.610244i | \(-0.791072\pi\) | ||||
−0.792214 | + | 0.610244i | \(0.791072\pi\) | |||||||
\(570\) | −2.17945 | + | 3.77492i | −0.0912871 | + | 0.158114i | ||||
\(571\) | 34.1534 | 1.42928 | 0.714638 | − | 0.699495i | \(-0.246592\pi\) | ||||
0.714638 | + | 0.699495i | \(0.246592\pi\) | |||||||
\(572\) | −6.00000 | + | 10.3923i | −0.250873 | + | 0.434524i | ||||
\(573\) | 9.71780 | − | 16.8317i | 0.405967 | − | 0.703155i | ||||
\(574\) | 13.8589 | + | 24.0043i | 0.578459 | + | 1.00192i | ||||
\(575\) | 1.50000 | − | 2.59808i | 0.0625543 | − | 0.108347i | ||||
\(576\) | −0.500000 | − | 0.866025i | −0.0208333 | − | 0.0360844i | ||||
\(577\) | 18.7945 | 0.782425 | 0.391213 | − | 0.920300i | \(-0.372056\pi\) | ||||
0.391213 | + | 0.920300i | \(0.372056\pi\) | |||||||
\(578\) | 5.71780 | 0.237829 | ||||||||
\(579\) | −12.0383 | − | 20.8510i | −0.500297 | − | 0.866539i | ||||
\(580\) | 4.67945 | + | 8.10504i | 0.194304 | + | 0.336544i | ||||
\(581\) | 26.1534 | 1.08503 | ||||||||
\(582\) | 14.0767 | 0.583498 | ||||||||
\(583\) | −19.6150 | − | 33.9743i | −0.812372 | − | 1.40707i | ||||
\(584\) | 2.32055 | − | 4.01931i | 0.0960251 | − | 0.166320i | ||||
\(585\) | −2.00000 | − | 3.46410i | −0.0826898 | − | 0.143223i | ||||
\(586\) | 2.82055 | − | 4.88534i | 0.116516 | − | 0.201811i | ||||
\(587\) | 21.3589 | − | 36.9947i | 0.881576 | − | 1.52693i | 0.0319878 | − | 0.999488i | \(-0.489816\pi\) |
0.849588 | − | 0.527446i | \(-0.176850\pi\) | |||||||
\(588\) | 12.0000 | 0.494872 | ||||||||
\(589\) | 23.3589 | − | 40.4588i | 0.962487 | − | 1.66708i | ||||
\(590\) | 12.7178 | 0.523583 | ||||||||
\(591\) | 2.82055 | − | 4.88534i | 0.116022 | − | 0.200956i | ||||
\(592\) | 3.50000 | − | 6.06218i | 0.143849 | − | 0.249154i | ||||
\(593\) | −3.96165 | − | 6.86178i | −0.162686 | − | 0.281780i | 0.773145 | − | 0.634229i | \(-0.218682\pi\) |
−0.935831 | + | 0.352449i | \(0.885349\pi\) | |||||||
\(594\) | −1.50000 | + | 2.59808i | −0.0615457 | + | 0.106600i | ||||
\(595\) | −7.32055 | − | 12.6796i | −0.300113 | − | 0.519812i | ||||
\(596\) | −10.0767 | −0.412758 | ||||||||
\(597\) | 16.6411 | 0.681075 | ||||||||
\(598\) | 6.00000 | + | 10.3923i | 0.245358 | + | 0.424973i | ||||
\(599\) | −13.3206 | − | 23.0719i | −0.544263 | − | 0.942691i | −0.998653 | − | 0.0518882i | \(-0.983476\pi\) |
0.454390 | − | 0.890803i | \(-0.349857\pi\) | |||||||
\(600\) | −1.00000 | −0.0408248 | ||||||||
\(601\) | 5.71780 | 0.233234 | 0.116617 | − | 0.993177i | \(-0.462795\pi\) | ||||
0.116617 | + | 0.993177i | \(0.462795\pi\) | |||||||
\(602\) | 21.7945 | + | 37.7492i | 0.888277 | + | 1.53854i | ||||
\(603\) | −5.67945 | + | 9.83710i | −0.231285 | + | 0.400597i | ||||
\(604\) | 1.03835 | + | 1.79847i | 0.0422498 | + | 0.0731788i | ||||
\(605\) | −1.00000 | + | 1.73205i | −0.0406558 | + | 0.0704179i | ||||
\(606\) | −6.35890 | + | 11.0139i | −0.258313 | + | 0.447411i | ||||
\(607\) | −35.7945 | −1.45285 | −0.726427 | − | 0.687244i | \(-0.758820\pi\) | ||||
−0.726427 | + | 0.687244i | \(0.758820\pi\) | |||||||
\(608\) | −4.35890 | −0.176777 | ||||||||
\(609\) | −40.7945 | −1.65308 | ||||||||
\(610\) | −2.67945 | + | 4.64094i | −0.108488 | + | 0.187906i | ||||
\(611\) | −12.0000 | + | 20.7846i | −0.485468 | + | 0.840855i | ||||
\(612\) | −1.67945 | − | 2.90889i | −0.0678877 | − | 0.117585i | ||||
\(613\) | −3.21780 | + | 5.57339i | −0.129966 | + | 0.225107i | −0.923663 | − | 0.383206i | \(-0.874820\pi\) |
0.793697 | + | 0.608313i | \(0.208153\pi\) | |||||||
\(614\) | −0.679449 | − | 1.17684i | −0.0274203 | − | 0.0474934i | ||||
\(615\) | 6.35890 | 0.256416 | ||||||||
\(616\) | −13.0767 | −0.526875 | ||||||||
\(617\) | 0.717798 | + | 1.24326i | 0.0288975 | + | 0.0500519i | 0.880112 | − | 0.474765i | \(-0.157467\pi\) |
−0.851215 | + | 0.524817i | \(0.824134\pi\) | |||||||
\(618\) | −5.17945 | − | 8.97107i | −0.208348 | − | 0.360869i | ||||
\(619\) | −3.64110 | −0.146348 | −0.0731741 | − | 0.997319i | \(-0.523313\pi\) | ||||
−0.0731741 | + | 0.997319i | \(0.523313\pi\) | |||||||
\(620\) | 10.7178 | 0.430437 | ||||||||
\(621\) | 1.50000 | + | 2.59808i | 0.0601929 | + | 0.104257i | ||||
\(622\) | 0.717798 | − | 1.24326i | 0.0287811 | − | 0.0498503i | ||||
\(623\) | 0.782202 | + | 1.35481i | 0.0313383 | + | 0.0542795i | ||||
\(624\) | 2.00000 | − | 3.46410i | 0.0800641 | − | 0.138675i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 17.4356 | 0.696867 | ||||||||
\(627\) | 6.53835 | + | 11.3248i | 0.261116 | + | 0.452267i | ||||
\(628\) | 5.00000 | 0.199522 | ||||||||
\(629\) | 11.7561 | − | 20.3622i | 0.468748 | − | 0.811896i | ||||
\(630\) | 2.17945 | − | 3.77492i | 0.0868313 | − | 0.150396i | ||||
\(631\) | −20.6794 | − | 35.8179i | −0.823236 | − | 1.42589i | −0.903260 | − | 0.429093i | \(-0.858833\pi\) |
0.0800242 | − | 0.996793i | \(-0.474500\pi\) | |||||||
\(632\) | −2.35890 | + | 4.08573i | −0.0938320 | + | 0.162522i | ||||
\(633\) | −7.53835 | − | 13.0568i | −0.299622 | − | 0.518961i | ||||
\(634\) | −19.0767 | −0.757632 | ||||||||
\(635\) | 10.3589 | 0.411080 | ||||||||
\(636\) | 6.53835 | + | 11.3248i | 0.259262 | + | 0.449056i | ||||
\(637\) | 24.0000 | + | 41.5692i | 0.950915 | + | 1.64703i | ||||
\(638\) | 28.0767 | 1.11157 | ||||||||
\(639\) | −10.0767 | −0.398628 | ||||||||
\(640\) | −0.500000 | − | 0.866025i | −0.0197642 | − | 0.0342327i | ||||
\(641\) | 5.64110 | − | 9.77067i | 0.222810 | − | 0.385918i | −0.732850 | − | 0.680390i | \(-0.761810\pi\) |
0.955660 | + | 0.294472i | \(0.0951437\pi\) | |||||||
\(642\) | 4.67945 | + | 8.10504i | 0.184683 | + | 0.319881i | ||||
\(643\) | 19.7561 | − | 34.2186i | 0.779106 | − | 1.34945i | −0.153351 | − | 0.988172i | \(-0.549007\pi\) |
0.932457 | − | 0.361280i | \(-0.117660\pi\) | |||||||
\(644\) | −6.53835 | + | 11.3248i | −0.257647 | + | 0.446258i | ||||
\(645\) | 10.0000 | 0.393750 | ||||||||
\(646\) | −14.6411 | −0.576046 | ||||||||
\(647\) | −17.1534 | −0.674369 | −0.337185 | − | 0.941438i | \(-0.609475\pi\) | ||||
−0.337185 | + | 0.941438i | \(0.609475\pi\) | |||||||
\(648\) | 0.500000 | − | 0.866025i | 0.0196419 | − | 0.0340207i | ||||
\(649\) | 19.0767 | − | 33.0418i | 0.748826 | − | 1.29700i | ||||
\(650\) | −2.00000 | − | 3.46410i | −0.0784465 | − | 0.135873i | ||||
\(651\) | −23.3589 | + | 40.4588i | −0.915507 | + | 1.58571i | ||||
\(652\) | 2.35890 | + | 4.08573i | 0.0923816 | + | 0.160010i | ||||
\(653\) | −25.0767 | −0.981327 | −0.490663 | − | 0.871349i | \(-0.663246\pi\) | ||||
−0.490663 | + | 0.871349i | \(0.663246\pi\) | |||||||
\(654\) | −10.6411 | −0.416100 | ||||||||
\(655\) | −1.50000 | − | 2.59808i | −0.0586098 | − | 0.101515i | ||||
\(656\) | 3.17945 | + | 5.50697i | 0.124137 | + | 0.215011i | ||||
\(657\) | 4.64110 | 0.181067 | ||||||||
\(658\) | −26.1534 | −1.01957 | ||||||||
\(659\) | 19.8589 | + | 34.3966i | 0.773593 | + | 1.33990i | 0.935582 | + | 0.353110i | \(0.114876\pi\) |
−0.161989 | + | 0.986793i | \(0.551791\pi\) | |||||||
\(660\) | −1.50000 | + | 2.59808i | −0.0583874 | + | 0.101130i | ||||
\(661\) | 8.71780 | + | 15.0997i | 0.339083 | + | 0.587309i | 0.984261 | − | 0.176724i | \(-0.0565499\pi\) |
−0.645177 | + | 0.764033i | \(0.723217\pi\) | |||||||
\(662\) | 7.17945 | − | 12.4352i | 0.279037 | − | 0.483307i | ||||
\(663\) | 6.71780 | − | 11.6356i | 0.260898 | − | 0.451888i | ||||
\(664\) | 6.00000 | 0.232845 | ||||||||
\(665\) | −9.50000 | − | 16.4545i | −0.368394 | − | 0.638077i | ||||
\(666\) | 7.00000 | 0.271244 | ||||||||
\(667\) | 14.0383 | − | 24.3151i | 0.543567 | − | 0.941486i | ||||
\(668\) | 11.2178 | − | 19.4298i | 0.434030 | − | 0.751761i | ||||
\(669\) | −10.1794 | − | 17.6313i | −0.393560 | − | 0.681666i | ||||
\(670\) | −5.67945 | + | 9.83710i | −0.219416 | + | 0.380040i | ||||
\(671\) | 8.03835 | + | 13.9228i | 0.310317 | + | 0.537485i | ||||
\(672\) | 4.35890 | 0.168148 | ||||||||
\(673\) | −21.2822 | −0.820369 | −0.410184 | − | 0.912003i | \(-0.634536\pi\) | ||||
−0.410184 | + | 0.912003i | \(0.634536\pi\) | |||||||
\(674\) | 11.0767 | + | 19.1854i | 0.426658 | + | 0.738994i | ||||
\(675\) | −0.500000 | − | 0.866025i | −0.0192450 | − | 0.0333333i | ||||
\(676\) | 3.00000 | 0.115385 | ||||||||
\(677\) | 7.07670 | 0.271980 | 0.135990 | − | 0.990710i | \(-0.456579\pi\) | ||||
0.135990 | + | 0.990710i | \(0.456579\pi\) | |||||||
\(678\) | 1.67945 | + | 2.90889i | 0.0644989 | + | 0.111715i | ||||
\(679\) | −30.6794 | + | 53.1384i | −1.17737 | + | 2.03926i | ||||
\(680\) | −1.67945 | − | 2.90889i | −0.0644039 | − | 0.111551i | ||||
\(681\) | 1.67945 | − | 2.90889i | 0.0643566 | − | 0.111469i | ||||
\(682\) | 16.0767 | − | 27.8457i | 0.615609 | − | 1.06627i | ||||
\(683\) | −22.7945 | −0.872207 | −0.436104 | − | 0.899896i | \(-0.643642\pi\) | ||||
−0.436104 | + | 0.899896i | \(0.643642\pi\) | |||||||
\(684\) | −2.17945 | − | 3.77492i | −0.0833333 | − | 0.144338i | ||||
\(685\) | −12.0000 | −0.458496 | ||||||||
\(686\) | −10.8972 | + | 18.8746i | −0.416059 | + | 0.720635i | ||||
\(687\) | −4.35890 | + | 7.54983i | −0.166302 | + | 0.288044i | ||||
\(688\) | 5.00000 | + | 8.66025i | 0.190623 | + | 0.330169i | ||||
\(689\) | −26.1534 | + | 45.2990i | −0.996365 | + | 1.72575i | ||||
\(690\) | 1.50000 | + | 2.59808i | 0.0571040 | + | 0.0989071i | ||||
\(691\) | 31.6411 | 1.20368 | 0.601842 | − | 0.798615i | \(-0.294434\pi\) | ||||
0.601842 | + | 0.798615i | \(0.294434\pi\) | |||||||
\(692\) | 18.3589 | 0.697901 | ||||||||
\(693\) | −6.53835 | − | 11.3248i | −0.248371 | − | 0.430192i | ||||
\(694\) | −3.71780 | − | 6.43941i | −0.141126 | − | 0.244437i | ||||
\(695\) | −1.28220 | −0.0486367 | ||||||||
\(696\) | −9.35890 | −0.354748 | ||||||||
\(697\) | 10.6794 | + | 18.4973i | 0.404513 | + | 0.700637i | ||||
\(698\) | 0.0383484 | − | 0.0664214i | 0.00145151 | − | 0.00251409i | ||||
\(699\) | −3.00000 | − | 5.19615i | −0.113470 | − | 0.196537i | ||||
\(700\) | 2.17945 | − | 3.77492i | 0.0823754 | − | 0.142678i | ||||
\(701\) | −9.00000 | + | 15.5885i | −0.339925 | + | 0.588768i | −0.984418 | − | 0.175842i | \(-0.943735\pi\) |
0.644493 | + | 0.764610i | \(0.277068\pi\) | |||||||
\(702\) | 4.00000 | 0.150970 | ||||||||
\(703\) | 15.2561 | − | 26.4244i | 0.575396 | − | 0.996616i | ||||
\(704\) | −3.00000 | −0.113067 | ||||||||
\(705\) | −3.00000 | + | 5.19615i | −0.112987 | + | 0.195698i | ||||
\(706\) | −5.03835 | + | 8.72668i | −0.189621 | + | 0.328433i | ||||
\(707\) | −27.7178 | − | 48.0086i | −1.04244 | − | 1.80555i | ||||
\(708\) | −6.35890 | + | 11.0139i | −0.238982 | + | 0.413929i | ||||
\(709\) | 13.3972 | + | 23.2047i | 0.503144 | + | 0.871471i | 0.999993 | + | 0.00363441i | \(0.00115687\pi\) |
−0.496849 | + | 0.867837i | \(0.665510\pi\) | |||||||
\(710\) | −10.0767 | −0.378172 | ||||||||
\(711\) | −4.71780 | −0.176931 | ||||||||
\(712\) | 0.179449 | + | 0.310816i | 0.00672515 | + | 0.0116483i | ||||
\(713\) | −16.0767 | − | 27.8457i | −0.602077 | − | 1.04283i | ||||
\(714\) | 14.6411 | 0.547929 | ||||||||
\(715\) | −12.0000 | −0.448775 | ||||||||
\(716\) | −7.85890 | − | 13.6120i | −0.293701 | − | 0.508705i | ||||
\(717\) | 6.71780 | − | 11.6356i | 0.250881 | − | 0.434538i | ||||
\(718\) | 7.67945 | + | 13.3012i | 0.286595 | + | 0.496396i | ||||
\(719\) | 8.64110 | − | 14.9668i | 0.322259 | − | 0.558168i | −0.658695 | − | 0.752410i | \(-0.728891\pi\) |
0.980954 | + | 0.194242i | \(0.0622246\pi\) | |||||||
\(720\) | 0.500000 | − | 0.866025i | 0.0186339 | − | 0.0322749i | ||||
\(721\) | 45.1534 | 1.68160 | ||||||||
\(722\) | −19.0000 | −0.707107 | ||||||||
\(723\) | −4.00000 | −0.148762 | ||||||||
\(724\) | −9.03835 | + | 15.6549i | −0.335908 | + | 0.581809i | ||||
\(725\) | −4.67945 | + | 8.10504i | −0.173790 | + | 0.301014i | ||||
\(726\) | −1.00000 | − | 1.73205i | −0.0371135 | − | 0.0642824i | ||||
\(727\) | 15.0767 | − | 26.1136i | 0.559164 | − | 0.968500i | −0.438403 | − | 0.898779i | \(-0.644456\pi\) |
0.997567 | − | 0.0697214i | \(-0.0222110\pi\) | |||||||
\(728\) | 8.71780 | + | 15.0997i | 0.323103 | + | 0.559631i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 4.64110 | 0.171775 | ||||||||
\(731\) | 16.7945 | + | 29.0889i | 0.621167 | + | 1.07589i | ||||
\(732\) | −2.67945 | − | 4.64094i | −0.0990353 | − | 0.171534i | ||||
\(733\) | 9.56440 | 0.353269 | 0.176635 | − | 0.984276i | \(-0.443479\pi\) | ||||
0.176635 | + | 0.984276i | \(0.443479\pi\) | |||||||
\(734\) | −14.7178 | −0.543244 | ||||||||
\(735\) | 6.00000 | + | 10.3923i | 0.221313 | + | 0.383326i | ||||
\(736\) | −1.50000 | + | 2.59808i | −0.0552907 | + | 0.0957664i | ||||
\(737\) | 17.0383 | + | 29.5113i | 0.627616 | + | 1.08706i | ||||
\(738\) | −3.17945 | + | 5.50697i | −0.117037 | + | 0.202714i | ||||
\(739\) | 8.17945 | − | 14.1672i | 0.300886 | − | 0.521150i | −0.675451 | − | 0.737405i | \(-0.736051\pi\) |
0.976337 | + | 0.216255i | \(0.0693843\pi\) | |||||||
\(740\) | 7.00000 | 0.257325 | ||||||||
\(741\) | 8.71780 | − | 15.0997i | 0.320256 | − | 0.554700i | ||||
\(742\) | −57.0000 | −2.09254 | ||||||||
\(743\) | −4.50000 | + | 7.79423i | −0.165089 | + | 0.285943i | −0.936687 | − | 0.350168i | \(-0.886124\pi\) |
0.771598 | + | 0.636111i | \(0.219458\pi\) | |||||||
\(744\) | −5.35890 | + | 9.28189i | −0.196467 | + | 0.340290i | ||||
\(745\) | −5.03835 | − | 8.72668i | −0.184591 | − | 0.319721i | ||||
\(746\) | 5.50000 | − | 9.52628i | 0.201369 | − | 0.348782i | ||||
\(747\) | 3.00000 | + | 5.19615i | 0.109764 | + | 0.190117i | ||||
\(748\) | −10.0767 | −0.368441 | ||||||||
\(749\) | −40.7945 | −1.49060 | ||||||||
\(750\) | −0.500000 | − | 0.866025i | −0.0182574 | − | 0.0316228i | ||||
\(751\) | −11.4356 | − | 19.8070i | −0.417291 | − | 0.722769i | 0.578375 | − | 0.815771i | \(-0.303687\pi\) |
−0.995666 | + | 0.0930021i | \(0.970354\pi\) | |||||||
\(752\) | −6.00000 | −0.218797 | ||||||||
\(753\) | −12.0000 | −0.437304 | ||||||||
\(754\) | −18.7178 | − | 32.4202i | −0.681662 | − | 1.18067i | ||||
\(755\) | −1.03835 | + | 1.79847i | −0.0377894 | + | 0.0654531i | ||||
\(756\) | 2.17945 | + | 3.77492i | 0.0792658 | + | 0.137292i | ||||
\(757\) | −24.9356 | + | 43.1897i | −0.906300 | + | 1.56976i | −0.0871365 | + | 0.996196i | \(0.527772\pi\) |
−0.819163 | + | 0.573561i | \(0.805562\pi\) | |||||||
\(758\) | 7.35890 | − | 12.7460i | 0.267287 | − | 0.462955i | ||||
\(759\) | 9.00000 | 0.326679 | ||||||||
\(760\) | −2.17945 | − | 3.77492i | −0.0790569 | − | 0.136931i | ||||
\(761\) | −7.07670 | −0.256530 | −0.128265 | − | 0.991740i | \(-0.540941\pi\) | ||||
−0.128265 | + | 0.991740i | \(0.540941\pi\) | |||||||
\(762\) | −5.17945 | + | 8.97107i | −0.187632 | + | 0.324988i | ||||
\(763\) | 23.1917 | − | 40.1693i | 0.839597 | − | 1.45423i | ||||
\(764\) | 9.71780 | + | 16.8317i | 0.351578 | + | 0.608950i | ||||
\(765\) | 1.67945 | − | 2.90889i | 0.0607206 | − | 0.105171i | ||||
\(766\) | 3.00000 | + | 5.19615i | 0.108394 | + | 0.187745i | ||||
\(767\) | −50.8712 | −1.83685 | ||||||||
\(768\) | 1.00000 | 0.0360844 | ||||||||
\(769\) | −1.35890 | − | 2.35368i | −0.0490031 | − | 0.0848759i | 0.840483 | − | 0.541837i | \(-0.182271\pi\) |
−0.889487 | + | 0.456961i | \(0.848938\pi\) | |||||||
\(770\) | −6.53835 | − | 11.3248i | −0.235626 | − | 0.408116i | ||||
\(771\) | −7.43560 | −0.267786 | ||||||||
\(772\) | 24.0767 | 0.866539 | ||||||||
\(773\) | 0.897247 | + | 1.55408i | 0.0322717 | + | 0.0558963i | 0.881710 | − | 0.471791i | \(-0.156392\pi\) |
−0.849438 | + | 0.527688i | \(0.823059\pi\) | |||||||
\(774\) | −5.00000 | + | 8.66025i | −0.179721 | + | 0.311286i | ||||
\(775\) | 5.35890 | + | 9.28189i | 0.192497 | + | 0.333415i | ||||
\(776\) | −7.03835 | + | 12.1908i | −0.252662 | + | 0.437623i | ||||
\(777\) | −15.2561 | + | 26.4244i | −0.547311 | + | 0.947971i | ||||
\(778\) | −4.07670 |