Newspace parameters
Level: | \( N \) | \(=\) | \( 1323 = 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1323.g (of order \(3\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(10.5642081874\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
Defining polynomial: | \(x^{12} - 7 x^{10} + 37 x^{8} - 78 x^{6} + 123 x^{4} - 36 x^{2} + 9\) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3^{5} \) |
Twist minimal: | no (minimal twist has level 441) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 361.5 | ||
Root | \(1.82904 - 1.05600i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1323.361 |
Dual form | 1323.2.g.g.667.5 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1323\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.23025 | − | 2.13086i | 0.869920 | − | 1.50675i | 0.00784213 | − | 0.999969i | \(-0.497504\pi\) |
0.862078 | − | 0.506776i | \(-0.169163\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.02704 | − | 3.51094i | −1.01352 | − | 1.75547i | ||||
\(5\) | −3.65808 | −1.63594 | −0.817970 | − | 0.575260i | \(-0.804901\pi\) | ||||
−0.817970 | + | 0.575260i | \(0.804901\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −5.05408 | −1.78689 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −4.50036 | + | 7.79485i | −1.42314 | + | 2.46495i | ||||
\(11\) | −0.406421 | −0.122540 | −0.0612702 | − | 0.998121i | \(-0.519515\pi\) | ||||
−0.0612702 | + | 0.998121i | \(0.519515\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.243398 | + | 0.421578i | −0.0675065 | + | 0.116925i | −0.897803 | − | 0.440397i | \(-0.854838\pi\) |
0.830297 | + | 0.557322i | \(0.188171\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.16372 | + | 3.74766i | −0.540929 | + | 0.936916i | ||||
\(17\) | −2.42792 | + | 4.20528i | −0.588857 | + | 1.01993i | 0.405525 | + | 0.914084i | \(0.367089\pi\) |
−0.994382 | + | 0.105847i | \(0.966245\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.986757 | − | 1.70911i | −0.226378 | − | 0.392097i | 0.730354 | − | 0.683069i | \(-0.239355\pi\) |
−0.956732 | + | 0.290971i | \(0.906022\pi\) | |||||||
\(20\) | 7.41507 | + | 12.8433i | 1.65806 | + | 2.87185i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.500000 | + | 0.866025i | −0.106600 | + | 0.184637i | ||||
\(23\) | −4.64766 | −0.969105 | −0.484552 | − | 0.874762i | \(-0.661018\pi\) | ||||
−0.484552 | + | 0.874762i | \(0.661018\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 8.38151 | 1.67630 | ||||||||
\(26\) | 0.598883 | + | 1.03729i | 0.117451 | + | 0.203430i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.82383 | + | 6.62307i | 0.710068 | + | 1.22987i | 0.964831 | + | 0.262870i | \(0.0846690\pi\) |
−0.254764 | + | 0.967003i | \(0.581998\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.51360 | + | 6.08573i | 0.631061 | + | 1.09303i | 0.987335 | + | 0.158648i | \(0.0507136\pi\) |
−0.356274 | + | 0.934381i | \(0.615953\pi\) | |||||||
\(32\) | 0.269748 | + | 0.467216i | 0.0476851 | + | 0.0825930i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.97391 | + | 10.3471i | 1.02452 | + | 1.77452i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.16372 | − | 2.01561i | −0.191314 | − | 0.331365i | 0.754372 | − | 0.656447i | \(-0.227941\pi\) |
−0.945686 | + | 0.325082i | \(0.894608\pi\) | |||||||
\(38\) | −4.85584 | −0.787721 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 18.4882 | 2.92324 | ||||||||
\(41\) | −3.75700 | + | 6.50731i | −0.586744 | + | 1.01627i | 0.407911 | + | 0.913022i | \(0.366257\pi\) |
−0.994655 | + | 0.103249i | \(0.967076\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.16372 | + | 2.01561i | 0.177465 | + | 0.307378i | 0.941012 | − | 0.338374i | \(-0.109877\pi\) |
−0.763547 | + | 0.645753i | \(0.776544\pi\) | |||||||
\(44\) | 0.823832 | + | 1.42692i | 0.124197 | + | 0.215116i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.71780 | + | 9.90352i | −0.843044 | + | 1.46019i | ||||
\(47\) | 3.15811 | − | 5.47002i | 0.460658 | − | 0.797884i | −0.538335 | − | 0.842731i | \(-0.680947\pi\) |
0.998994 | + | 0.0448469i | \(0.0142800\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 10.3114 | − | 17.8598i | 1.45825 | − | 2.52576i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.97351 | 0.273677 | ||||||||
\(53\) | −1.78434 | + | 3.09056i | −0.245097 | + | 0.424521i | −0.962159 | − | 0.272489i | \(-0.912153\pi\) |
0.717062 | + | 0.697010i | \(0.245487\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.48672 | 0.200469 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 18.8171 | 2.47081 | ||||||||
\(59\) | −3.05919 | − | 5.29868i | −0.398273 | − | 0.689829i | 0.595240 | − | 0.803548i | \(-0.297057\pi\) |
−0.993513 | + | 0.113719i | \(0.963724\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.01356 | + | 6.95169i | −0.513884 | + | 0.890073i | 0.485987 | + | 0.873966i | \(0.338460\pi\) |
−0.999870 | + | 0.0161063i | \(0.994873\pi\) | |||||||
\(62\) | 17.2905 | 2.19589 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.32743 | −0.915929 | ||||||||
\(65\) | 0.890369 | − | 1.54216i | 0.110437 | − | 0.191282i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.80039 | − | 3.11836i | −0.219952 | − | 0.380969i | 0.734841 | − | 0.678240i | \(-0.237257\pi\) |
−0.954793 | + | 0.297271i | \(0.903924\pi\) | |||||||
\(68\) | 19.6860 | 2.38728 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −8.46050 | −1.00408 | −0.502039 | − | 0.864845i | \(-0.667416\pi\) | ||||
−0.502039 | + | 0.864845i | \(0.667416\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.986757 | − | 1.70911i | 0.115491 | − | 0.200037i | −0.802485 | − | 0.596673i | \(-0.796489\pi\) |
0.917976 | + | 0.396636i | \(0.129822\pi\) | |||||||
\(74\) | −5.72665 | −0.665710 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.00040 | + | 6.92889i | −0.458877 | + | 0.794798i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.08113 | + | 7.06872i | −0.459163 | + | 0.795293i | −0.998917 | − | 0.0465297i | \(-0.985184\pi\) |
0.539754 | + | 0.841823i | \(0.318517\pi\) | |||||||
\(80\) | 7.91503 | − | 13.7092i | 0.884928 | − | 1.53274i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 9.24411 | + | 16.0113i | 1.02084 | + | 1.76815i | ||||
\(83\) | −6.08600 | − | 10.5413i | −0.668025 | − | 1.15705i | −0.978456 | − | 0.206457i | \(-0.933807\pi\) |
0.310431 | − | 0.950596i | \(-0.399527\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.88151 | − | 15.3832i | 0.963336 | − | 1.66855i | ||||
\(86\) | 5.72665 | 0.617521 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.05408 | 0.218966 | ||||||||
\(89\) | −7.41507 | − | 12.8433i | −0.785996 | − | 1.36139i | −0.928402 | − | 0.371577i | \(-0.878817\pi\) |
0.142406 | − | 0.989808i | \(-0.454516\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 9.42101 | + | 16.3177i | 0.982208 | + | 1.70123i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −7.77056 | − | 13.4590i | −0.801472 | − | 1.38819i | ||||
\(95\) | 3.60963 | + | 6.25206i | 0.370340 | + | 0.641448i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.74375 | − | 8.21642i | −0.481655 | − | 0.834251i | 0.518123 | − | 0.855306i | \(-0.326631\pi\) |
−0.999778 | + | 0.0210547i | \(0.993298\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −16.9897 | − | 29.4270i | −1.69897 | − | 2.94270i | ||||
\(101\) | 8.71176 | 0.866852 | 0.433426 | − | 0.901189i | \(-0.357304\pi\) | ||||
0.433426 | + | 0.901189i | \(0.357304\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.02712 | −0.790936 | −0.395468 | − | 0.918480i | \(-0.629418\pi\) | ||||
−0.395468 | + | 0.918480i | \(0.629418\pi\) | |||||||
\(104\) | 1.23016 | − | 2.13069i | 0.120627 | − | 0.208931i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.39037 | + | 7.60434i | 0.426430 | + | 0.738599i | ||||
\(107\) | 6.42101 | + | 11.1215i | 0.620742 | + | 1.07516i | 0.989348 | + | 0.145571i | \(0.0465021\pi\) |
−0.368605 | + | 0.929586i | \(0.620165\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.30039 | + | 2.25234i | −0.124555 | + | 0.215735i | −0.921559 | − | 0.388239i | \(-0.873084\pi\) |
0.797004 | + | 0.603974i | \(0.206417\pi\) | |||||||
\(110\) | 1.82904 | − | 3.16799i | 0.174392 | − | 0.302056i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −6.97509 | + | 12.0812i | −0.656162 | + | 1.13651i | 0.325440 | + | 0.945563i | \(0.394488\pi\) |
−0.981601 | + | 0.190942i | \(0.938846\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 17.0015 | 1.58540 | ||||||||
\(116\) | 15.5021 | − | 26.8505i | 1.43934 | − | 2.49301i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −15.0543 | −1.38586 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.8348 | −0.984984 | ||||||||
\(122\) | 9.87538 | + | 17.1047i | 0.894075 | + | 1.54858i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 14.2444 | − | 24.6721i | 1.27919 | − | 2.21562i | ||||
\(125\) | −12.3698 | −1.10639 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −15.5438 | −1.37929 | −0.689643 | − | 0.724149i | \(-0.742233\pi\) | ||||
−0.689643 | + | 0.724149i | \(0.742233\pi\) | |||||||
\(128\) | −9.55408 | + | 16.5482i | −0.844470 | + | 1.46266i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.19076 | − | 3.79450i | −0.192142 | − | 0.332800i | ||||
\(131\) | −8.51392 | −0.743864 | −0.371932 | − | 0.928260i | \(-0.621305\pi\) | ||||
−0.371932 | + | 0.928260i | \(0.621305\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −8.85973 | −0.765364 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 12.2709 | − | 21.2538i | 1.05222 | − | 1.82250i | ||||
\(137\) | −0.377242 | −0.0322300 | −0.0161150 | − | 0.999870i | \(-0.505130\pi\) | ||||
−0.0161150 | + | 0.999870i | \(0.505130\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.50067 | + | 16.4556i | −0.805837 | + | 1.39575i | 0.109888 | + | 0.993944i | \(0.464951\pi\) |
−0.915725 | + | 0.401806i | \(0.868383\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −10.4086 | + | 18.0281i | −0.873467 | + | 1.51289i | ||||
\(143\) | 0.0989221 | − | 0.171338i | 0.00827228 | − | 0.0143280i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −13.9879 | − | 24.2277i | −1.16163 | − | 2.01200i | ||||
\(146\) | −2.42792 | − | 4.20528i | −0.200936 | − | 0.348032i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.71780 | + | 8.17147i | −0.387801 | + | 0.671691i | ||||
\(149\) | 9.70175 | 0.794798 | 0.397399 | − | 0.917646i | \(-0.369913\pi\) | ||||
0.397399 | + | 0.917646i | \(0.369913\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.8348 | −1.04448 | −0.522242 | − | 0.852798i | \(-0.674904\pi\) | ||||
−0.522242 | + | 0.852798i | \(0.674904\pi\) | |||||||
\(152\) | 4.98715 | + | 8.63800i | 0.404511 | + | 0.700634i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −12.8530 | − | 22.2621i | −1.03238 | − | 1.78813i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.4743 | + | 18.1420i | 0.835937 | + | 1.44789i | 0.893265 | + | 0.449531i | \(0.148409\pi\) |
−0.0573276 | + | 0.998355i | \(0.518258\pi\) | |||||||
\(158\) | 10.0416 | + | 17.3926i | 0.798869 | + | 1.38368i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.986757 | − | 1.70911i | −0.0780100 | − | 0.135117i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.58113 | + | 9.66679i | 0.437148 | + | 0.757162i | 0.997468 | − | 0.0711140i | \(-0.0226554\pi\) |
−0.560321 | + | 0.828276i | \(0.689322\pi\) | |||||||
\(164\) | 30.4624 | 2.37871 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −29.9492 | −2.32451 | ||||||||
\(167\) | −1.73012 | + | 2.99665i | −0.133880 | + | 0.231888i | −0.925169 | − | 0.379555i | \(-0.876077\pi\) |
0.791289 | + | 0.611443i | \(0.209410\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.38151 | + | 11.0531i | 0.490886 | + | 0.850239i | ||||
\(170\) | −21.8530 | − | 37.8505i | −1.67605 | − | 2.90300i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.71780 | − | 8.17147i | 0.359729 | − | 0.623069i | ||||
\(173\) | 3.02680 | − | 5.24258i | 0.230124 | − | 0.398586i | −0.727721 | − | 0.685874i | \(-0.759420\pi\) |
0.957844 | + | 0.287288i | \(0.0927536\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.879379 | − | 1.52313i | 0.0662857 | − | 0.114810i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −36.4896 | −2.73501 | ||||||||
\(179\) | 4.56654 | − | 7.90947i | 0.341319 | − | 0.591182i | −0.643359 | − | 0.765565i | \(-0.722460\pi\) |
0.984678 | + | 0.174383i | \(0.0557930\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.9478 | −0.888074 | −0.444037 | − | 0.896008i | \(-0.646454\pi\) | ||||
−0.444037 | + | 0.896008i | \(0.646454\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 23.4897 | 1.73168 | ||||||||
\(185\) | 4.25696 | + | 7.37327i | 0.312978 | + | 0.542093i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.986757 | − | 1.70911i | 0.0721588 | − | 0.124983i | ||||
\(188\) | −25.6065 | −1.86755 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 17.7630 | 1.28867 | ||||||||
\(191\) | 4.57014 | − | 7.91571i | 0.330683 | − | 0.572760i | −0.651963 | − | 0.758251i | \(-0.726054\pi\) |
0.982646 | + | 0.185491i | \(0.0593874\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.47150 | − | 14.6731i | −0.609792 | − | 1.05619i | −0.991274 | − | 0.131814i | \(-0.957920\pi\) |
0.381483 | − | 0.924376i | \(-0.375414\pi\) | |||||||
\(194\) | −23.3441 | −1.67601 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 21.3173 | 1.51880 | 0.759398 | − | 0.650627i | \(-0.225494\pi\) | ||||
0.759398 | + | 0.650627i | \(0.225494\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.98715 | − | 8.63800i | 0.353530 | − | 0.612332i | −0.633335 | − | 0.773877i | \(-0.718315\pi\) |
0.986865 | + | 0.161546i | \(0.0516479\pi\) | |||||||
\(200\) | −42.3609 | −2.99537 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 10.7177 | − | 18.5635i | 0.754092 | − | 1.30613i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 13.7434 | − | 23.8042i | 0.959879 | − | 1.66256i | ||||
\(206\) | −9.87538 | + | 17.1047i | −0.688051 | + | 1.19174i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.05329 | − | 1.82435i | −0.0730324 | − | 0.126496i | ||||
\(209\) | 0.401038 | + | 0.694619i | 0.0277404 | + | 0.0480478i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.44592 | + | 4.23645i | −0.168384 | + | 0.291649i | −0.937852 | − | 0.347036i | \(-0.887188\pi\) |
0.769468 | + | 0.638685i | \(0.220521\pi\) | |||||||
\(212\) | 14.4677 | 0.993646 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 31.5979 | 2.15998 | ||||||||
\(215\) | −4.25696 | − | 7.37327i | −0.290322 | − | 0.502853i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 3.19961 | + | 5.54189i | 0.216705 | + | 0.375344i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.01364 | − | 5.21978i | −0.203179 | − | 0.351917i | ||||
\(221\) | −1.18190 | − | 2.04712i | −0.0795034 | − | 0.137704i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.7044 | − | 20.2727i | −0.783786 | − | 1.35756i | −0.929722 | − | 0.368263i | \(-0.879953\pi\) |
0.145936 | − | 0.989294i | \(-0.453381\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 17.1623 | + | 29.7259i | 1.14162 | + | 1.97734i | ||||
\(227\) | −6.11839 | −0.406092 | −0.203046 | − | 0.979169i | \(-0.565084\pi\) | ||||
−0.203046 | + | 0.979169i | \(0.565084\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.46039 | −0.0965052 | −0.0482526 | − | 0.998835i | \(-0.515365\pi\) | ||||
−0.0482526 | + | 0.998835i | \(0.515365\pi\) | |||||||
\(230\) | 20.9161 | − | 36.2278i | 1.37917 | − | 2.38879i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −19.3260 | − | 33.4736i | −1.26881 | − | 2.19765i | ||||
\(233\) | −6.62422 | − | 11.4735i | −0.433967 | − | 0.751653i | 0.563244 | − | 0.826291i | \(-0.309553\pi\) |
−0.997211 | + | 0.0746378i | \(0.976220\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −11.5526 | + | 20.0097i | −0.753610 | + | 1.30529i | ||||
\(236\) | −12.4022 | + | 21.4813i | −0.807316 | + | 1.39831i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 9.69436 | − | 16.7911i | 0.627076 | − | 1.08613i | −0.361060 | − | 0.932543i | \(-0.617585\pi\) |
0.988136 | − | 0.153584i | \(-0.0490817\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.05368 | 0.325536 | 0.162768 | − | 0.986664i | \(-0.447958\pi\) | ||||
0.162768 | + | 0.986664i | \(0.447958\pi\) | |||||||
\(242\) | −13.3296 | + | 23.0875i | −0.856857 | + | 1.48412i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 32.5426 | 2.08333 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.960699 | 0.0611278 | ||||||||
\(248\) | −17.7580 | − | 30.7578i | −1.12764 | − | 1.95312i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −15.2180 | + | 26.3584i | −0.962472 | + | 1.66705i | ||||
\(251\) | −15.0928 | −0.952647 | −0.476324 | − | 0.879270i | \(-0.658031\pi\) | ||||
−0.476324 | + | 0.879270i | \(0.658031\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.88891 | 0.118755 | ||||||||
\(254\) | −19.1228 | + | 33.1216i | −1.19987 | + | 2.07823i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 16.1804 | + | 28.0253i | 1.01128 | + | 1.75158i | ||||
\(257\) | −7.71184 | −0.481051 | −0.240526 | − | 0.970643i | \(-0.577320\pi\) | ||||
−0.240526 | + | 0.970643i | \(0.577320\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −7.21926 | −0.447720 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −10.4743 | + | 18.1420i | −0.647102 | + | 1.12081i | ||||
\(263\) | −4.21206 | −0.259727 | −0.129864 | − | 0.991532i | \(-0.541454\pi\) | ||||
−0.129864 | + | 0.991532i | \(0.541454\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.52724 | − | 11.3055i | 0.400965 | − | 0.694492i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −7.29893 | + | 12.6421i | −0.445853 | + | 0.772240i | ||||
\(269\) | 10.3753 | − | 17.9706i | 0.632596 | − | 1.09569i | −0.354423 | − | 0.935085i | \(-0.615323\pi\) |
0.987019 | − | 0.160603i | \(-0.0513439\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 14.2444 | + | 24.6721i | 0.865287 | + | 1.49872i | 0.866762 | + | 0.498723i | \(0.166197\pi\) |
−0.00147433 | + | 0.999999i | \(0.500469\pi\) | |||||||
\(272\) | −10.5067 | − | 18.1981i | −0.637060 | − | 1.10342i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.464103 | + | 0.803851i | −0.0280375 | + | 0.0485624i | ||||
\(275\) | −3.40642 | −0.205415 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 17.1623 | 1.03118 | 0.515590 | − | 0.856835i | \(-0.327573\pi\) | ||||
0.515590 | + | 0.856835i | \(0.327573\pi\) | |||||||
\(278\) | 23.3765 | + | 40.4892i | 1.40203 | + | 2.42838i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.72140 | + | 8.17770i | 0.281655 | + | 0.487841i | 0.971793 | − | 0.235837i | \(-0.0757833\pi\) |
−0.690138 | + | 0.723678i | \(0.742450\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.43422 | − | 14.6085i | −0.501362 | − | 0.868385i | −0.999999 | − | 0.00157378i | \(-0.999499\pi\) |
0.498636 | − | 0.866811i | \(-0.333834\pi\) | |||||||
\(284\) | 17.1498 | + | 29.7043i | 1.01765 | + | 1.76263i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.243398 | − | 0.421578i | −0.0143924 | − | 0.0249284i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.28959 | − | 5.69774i | −0.193505 | − | 0.335161i | ||||
\(290\) | −68.8344 | −4.04210 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −8.00079 | −0.468211 | ||||||||
\(293\) | −1.86143 | + | 3.22409i | −0.108746 | + | 0.188353i | −0.915262 | − | 0.402858i | \(-0.868017\pi\) |
0.806517 | + | 0.591211i | \(0.201350\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 11.1908 | + | 19.3830i | 0.651551 | + | 1.12852i | ||||
\(296\) | 5.88151 | + | 10.1871i | 0.341856 | + | 0.592112i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 11.9356 | − | 20.6731i | 0.691411 | − | 1.19756i | ||||
\(299\) | 1.13123 | − | 1.95935i | 0.0654209 | − | 0.113312i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −15.7901 | + | 27.3492i | −0.908617 | + | 1.57377i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 8.54024 | 0.489817 | ||||||||
\(305\) | 14.6819 | − | 25.4298i | 0.840683 | − | 1.45611i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 30.5691 | 1.74467 | 0.872335 | − | 0.488908i | \(-0.162605\pi\) | ||||
0.872335 | + | 0.488908i | \(0.162605\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −63.2498 | −3.59235 | ||||||||
\(311\) | −5.21739 | − | 9.03678i | −0.295851 | − | 0.512429i | 0.679332 | − | 0.733831i | \(-0.262270\pi\) |
−0.975182 | + | 0.221403i | \(0.928936\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.309930 | − | 0.536815i | 0.0175183 | − | 0.0303426i | −0.857133 | − | 0.515095i | \(-0.827757\pi\) |
0.874652 | + | 0.484752i | \(0.161090\pi\) | |||||||
\(314\) | 51.5440 | 2.90879 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 33.0905 | 1.86148 | ||||||||
\(317\) | 5.12422 | − | 8.87541i | 0.287805 | − | 0.498493i | −0.685481 | − | 0.728091i | \(-0.740408\pi\) |
0.973285 | + | 0.229598i | \(0.0737412\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.55408 | − | 2.69175i | −0.0870120 | − | 0.150709i | ||||
\(320\) | 26.8043 | 1.49841 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 9.58307 | 0.533216 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.04005 | + | 3.53346i | −0.113161 | + | 0.196001i | ||||
\(326\) | 27.4648 | 1.52113 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 18.9882 | − | 32.8885i | 1.04845 | − | 1.81596i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.1819 | − | 17.6356i | 0.559648 | − | 0.969339i | −0.437878 | − | 0.899035i | \(-0.644270\pi\) |
0.997526 | − | 0.0703042i | \(-0.0223970\pi\) | |||||||
\(332\) | −24.6731 | + | 42.7351i | −1.35411 | + | 2.34539i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4.25696 | + | 7.37327i | 0.232930 | + | 0.403447i | ||||
\(335\) | 6.58596 | + | 11.4072i | 0.359829 | + | 0.623242i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.85594 | − | 4.94662i | 0.155573 | − | 0.269460i | −0.777695 | − | 0.628642i | \(-0.783611\pi\) |
0.933267 | + | 0.359182i | \(0.116944\pi\) | |||||||
\(338\) | 31.4035 | 1.70812 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −72.0128 | −3.90544 | ||||||||
\(341\) | −1.42800 | − | 2.47337i | −0.0773305 | − | 0.133940i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −5.88151 | − | 10.1871i | −0.317110 | − | 0.549251i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.44746 | − | 12.8994i | −0.400378 | − | 0.693475i | ||||
\(347\) | 4.44066 | + | 7.69145i | 0.238387 | + | 0.412899i | 0.960252 | − | 0.279136i | \(-0.0900480\pi\) |
−0.721865 | + | 0.692034i | \(0.756715\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.4874 | + | 18.1648i | 0.561379 | + | 0.972337i | 0.997376 | + | 0.0723893i | \(0.0230624\pi\) |
−0.435997 | + | 0.899948i | \(0.643604\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.109631 | − | 0.189886i | −0.00584335 | − | 0.0101210i | ||||
\(353\) | −14.7654 | −0.785881 | −0.392941 | − | 0.919564i | \(-0.628542\pi\) | ||||
−0.392941 | + | 0.919564i | \(0.628542\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 30.9492 | 1.64261 | ||||||||
\(356\) | −30.0613 | + | 52.0677i | −1.59325 | + | 2.75959i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −11.2360 | − | 19.4613i | −0.593840 | − | 1.02856i | ||||
\(359\) | 3.60603 | + | 6.24583i | 0.190319 | + | 0.329642i | 0.945356 | − | 0.326040i | \(-0.105714\pi\) |
−0.755037 | + | 0.655682i | \(0.772381\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.55262 | − | 13.0815i | 0.397506 | − | 0.688501i | ||||
\(362\) | −14.6988 | + | 25.4591i | −0.772554 | + | 1.33810i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.60963 | + | 6.25206i | −0.188937 | + | 0.327248i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.9742 | 0.572850 | 0.286425 | − | 0.958103i | \(-0.407533\pi\) | ||||
0.286425 | + | 0.958103i | \(0.407533\pi\) | |||||||
\(368\) | 10.0562 | − | 17.4179i | 0.524217 | − | 0.907970i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 20.9485 | 1.08906 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.543767 | −0.0281552 | −0.0140776 | − | 0.999901i | \(-0.504481\pi\) | ||||
−0.0140776 | + | 0.999901i | \(0.504481\pi\) | |||||||
\(374\) | −2.42792 | − | 4.20528i | −0.125545 | − | 0.217450i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −15.9614 | + | 27.6459i | −0.823145 | + | 1.42573i | ||||
\(377\) | −3.72286 | −0.191737 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −22.6912 | −1.16557 | −0.582785 | − | 0.812626i | \(-0.698037\pi\) | ||||
−0.582785 | + | 0.812626i | \(0.698037\pi\) | |||||||
\(380\) | 14.6337 | − | 25.3464i | 0.750695 | − | 1.30024i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11.2448 | − | 19.4766i | −0.575336 | − | 0.996511i | ||||
\(383\) | 35.7139 | 1.82489 | 0.912447 | − | 0.409194i | \(-0.134190\pi\) | ||||
0.912447 | + | 0.409194i | \(0.134190\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −41.6883 | −2.12188 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −19.2316 | + | 33.3101i | −0.976336 | + | 1.69106i | ||||
\(389\) | −38.6591 | −1.96010 | −0.980048 | − | 0.198761i | \(-0.936308\pi\) | ||||
−0.980048 | + | 0.198761i | \(0.936308\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 11.2842 | − | 19.5447i | 0.570664 | − | 0.988420i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 26.2257 | − | 45.4242i | 1.32123 | − | 2.28844i | ||||
\(395\) | 14.9291 | − | 25.8579i | 0.751163 | − | 1.30105i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.97391 | − | 10.3471i | −0.299822 | − | 0.519307i | 0.676273 | − | 0.736651i | \(-0.263594\pi\) |
−0.976095 | + | 0.217344i | \(0.930261\pi\) | |||||||
\(398\) | −12.2709 | − | 21.2538i | −0.615085 | − | 1.06536i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −18.1352 | + | 31.4111i | −0.906761 | + | 1.57056i | ||||
\(401\) | −32.3566 | −1.61581 | −0.807906 | − | 0.589311i | \(-0.799399\pi\) | ||||
−0.807906 | + | 0.589311i | \(0.799399\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.42082 | −0.170403 | ||||||||
\(404\) | −17.6591 | − | 30.5865i | −0.878573 | − | 1.52173i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.472958 | + | 0.819187i | 0.0234437 | + | 0.0406056i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.48751 | + | 16.4328i | 0.469127 | + | 0.812552i | 0.999377 | − | 0.0352893i | \(-0.0112353\pi\) |
−0.530250 | + | 0.847841i | \(0.677902\pi\) | |||||||
\(410\) | −33.8157 | − | 58.5704i | −1.67004 | − | 2.89259i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 16.2713 | + | 28.1827i | 0.801630 | + | 1.38846i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 22.2630 | + | 38.5607i | 1.09285 | + | 1.89287i | ||||
\(416\) | −0.262624 | −0.0128762 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.97351 | 0.0965277 | ||||||||
\(419\) | 8.64523 | − | 14.9740i | 0.422347 | − | 0.731526i | −0.573822 | − | 0.818980i | \(-0.694540\pi\) |
0.996169 | + | 0.0874539i | \(0.0278730\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9.30039 | − | 16.1087i | −0.453273 | − | 0.785092i | 0.545314 | − | 0.838232i | \(-0.316410\pi\) |
−0.998587 | + | 0.0531397i | \(0.983077\pi\) | |||||||
\(422\) | 6.01819 | + | 10.4238i | 0.292961 | + | 0.507423i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 9.01819 | − | 15.6200i | 0.437962 | − | 0.758572i | ||||
\(425\) | −20.3496 | + | 35.2466i | −0.987103 | + | 1.70971i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 26.0313 | − | 45.0876i | 1.25827 | − | 2.17939i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −20.9485 | −1.01023 | ||||||||
\(431\) | −7.93920 | + | 13.7511i | −0.382418 | + | 0.662367i | −0.991407 | − | 0.130811i | \(-0.958242\pi\) |
0.608990 | + | 0.793178i | \(0.291575\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −40.4367 | −1.94326 | −0.971631 | − | 0.236501i | \(-0.923999\pi\) | ||||
−0.971631 | + | 0.236501i | \(0.923999\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 10.5438 | 0.504955 | ||||||||
\(437\) | 4.58611 | + | 7.94338i | 0.219384 | + | 0.379984i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.23047 | − | 10.7915i | 0.297364 | − | 0.515050i | −0.678168 | − | 0.734907i | \(-0.737226\pi\) |
0.975532 | + | 0.219857i | \(0.0705591\pi\) | |||||||
\(440\) | −7.51399 | −0.358216 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.81616 | −0.276646 | ||||||||
\(443\) | −4.11537 | + | 7.12802i | −0.195527 | + | 0.338663i | −0.947073 | − | 0.321018i | \(-0.895975\pi\) |
0.751546 | + | 0.659680i | \(0.229308\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 27.1249 | + | 46.9817i | 1.28584 | + | 2.22715i | ||||
\(446\) | −57.5976 | −2.72732 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −5.64474 | −0.266392 | −0.133196 | − | 0.991090i | \(-0.542524\pi\) | ||||
−0.133196 | + | 0.991090i | \(0.542524\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.52692 | − | 2.64471i | 0.0718999 | − | 0.124534i | ||||
\(452\) | 56.5552 | 2.66013 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −7.52716 | + | 13.0374i | −0.353267 | + | 0.611876i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.53443 | + | 4.38977i | −0.118556 | + | 0.205345i | −0.919196 | − | 0.393801i | \(-0.871160\pi\) |
0.800640 | + | 0.599146i | \(0.204493\pi\) | |||||||
\(458\) | −1.79665 | + | 3.11188i | −0.0839518 | + | 0.145409i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −34.4628 | − | 59.6913i | −1.60683 | − | 2.78312i | ||||
\(461\) | 3.88831 | + | 6.73475i | 0.181097 | + | 0.313669i | 0.942254 | − | 0.334898i | \(-0.108702\pi\) |
−0.761158 | + | 0.648567i | \(0.775369\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.58998 | − | 7.95008i | 0.213314 | − | 0.369472i | −0.739435 | − | 0.673228i | \(-0.764907\pi\) |
0.952750 | + | 0.303756i | \(0.0982408\pi\) | |||||||
\(464\) | −33.0947 | −1.53638 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −32.5979 | −1.51007 | ||||||||
\(467\) | 6.88272 | + | 11.9212i | 0.318494 | + | 0.551648i | 0.980174 | − | 0.198138i | \(-0.0634895\pi\) |
−0.661680 | + | 0.749787i | \(0.730156\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 28.4253 | + | 49.2340i | 1.31116 | + | 2.27100i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 15.4614 | + | 26.7800i | 0.711669 | + | 1.23265i | ||||
\(473\) | −0.472958 | − | 0.819187i | −0.0217466 | − | 0.0376663i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.27052 | − | 14.3250i | −0.379477 | − | 0.657274i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −23.8530 | − | 41.3146i | −1.09101 | − | 1.88969i | ||||
\(479\) | 8.71176 | 0.398050 | 0.199025 | − | 0.979994i | \(-0.436222\pi\) | ||||
0.199025 | + | 0.979994i | \(0.436222\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.13298 | 0.0516597 | ||||||||
\(482\) | 6.21731 | − | 10.7687i | 0.283191 | − | 0.490501i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 21.9626 | + | 38.0404i | 0.998302 | + | 1.72911i | ||||
\(485\) | 17.3530 | + | 30.0563i | 0.787960 | + | 1.36479i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.01819 | − | 15.6200i | 0.408653 | − | 0.707808i | −0.586086 | − | 0.810249i | \(-0.699332\pi\) |
0.994739 | + | 0.102441i | \(0.0326653\pi\) | |||||||
\(488\) | 20.2849 | − | 35.1344i | 0.918253 | − | 1.59046i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 1.02344 | − | 1.77266i | 0.0461874 | − | 0.0799989i | −0.842007 | − | 0.539466i | \(-0.818626\pi\) |
0.888195 | + | 0.459467i | \(0.151960\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −37.1358 | −1.67251 | ||||||||
\(494\) | 1.18190 | − | 2.04712i | 0.0531763 | − | 0.0921041i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −30.4097 | −1.36544 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −39.0875 | −1.74980 | −0.874899 | − | 0.484305i | \(-0.839072\pi\) | ||||
−0.874899 | + | 0.484305i | \(0.839072\pi\) | |||||||
\(500\) | 25.0742 | + | 43.4297i | 1.12135 | + | 1.94224i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −18.5679 | + | 32.1606i | −0.828727 | + | 1.43540i | ||||
\(503\) | 5.11846 | 0.228221 | 0.114111 | − | 0.993468i | \(-0.463598\pi\) | ||||
0.114111 | + | 0.993468i | \(0.463598\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −31.8683 | −1.41812 | ||||||||
\(506\) | 2.32383 | − | 4.02499i | 0.103307 | − | 0.178933i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 31.5079 | + | 54.5732i | 1.39794 | + | 2.42130i | ||||
\(509\) | −29.5272 | −1.30877 | −0.654386 | − | 0.756161i | \(-0.727073\pi\) | ||||
−0.654386 | + | 0.756161i | \(0.727073\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 41.4078 | 1.82998 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −9.48751 | + | 16.4328i | −0.418476 | + | 0.724822i | ||||
\(515\) | 29.3638 | 1.29392 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.28352 | + | 2.22313i | −0.0564493 | + | 0.0977730i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.50000 | + | 7.79423i | −0.197338 | + | 0.341800i | ||||
\(521\) | −0.532351 | + | 0.922058i | −0.0233227 | + | 0.0403961i | −0.877451 | − | 0.479666i | \(-0.840758\pi\) |
0.854128 | + | 0.520062i | \(0.174091\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.69094 | + | 11.5890i | 0.292574 | + | 0.506754i | 0.974418 | − | 0.224745i | \(-0.0721548\pi\) |
−0.681843 | + | 0.731498i | \(0.738821\pi\) | |||||||
\(524\) | 17.2581 | + | 29.8918i | 0.753922 | + | 1.30583i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.18190 | + | 8.97532i | −0.225942 | + | 0.391343i | ||||
\(527\) | −34.1230 | −1.48642 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.39922 | −0.0608358 | ||||||||
\(530\) | −16.0603 | − | 27.8173i | −0.697615 | − | 1.20830i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.82889 | − | 3.16774i | −0.0792181 | − | 0.137210i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −23.4885 | − | 40.6833i | −1.01550 | − | 1.75889i | ||||
\(536\) | 9.09931 | + | 15.7605i | 0.393031 | + | 0.680749i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −25.5286 | − | 44.2168i | −1.10062 | − | 1.90632i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 17.0438 | + | 29.5207i | 0.732769 | + | 1.26919i | 0.955695 | + | 0.294358i | \(0.0951056\pi\) |
−0.222927 | + | 0.974835i | \(0.571561\pi\) | |||||||
\(542\) | 70.0970 | 3.01092 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −2.61970 | −0.112319 | ||||||||
\(545\) | 4.75692 | − | 8.23922i | 0.203764 | − | 0.352930i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.97150 | + | 5.14678i | 0.127052 | + | 0.220060i | 0.922533 | − | 0.385918i | \(-0.126115\pi\) |
−0.795481 | + | 0.605978i | \(0.792782\pi\) | |||||||
\(548\) | 0.764686 | + | 1.32448i | 0.0326658 | + | 0.0565788i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −4.19076 | + | 7.25860i | −0.178694 | + | 0.309508i | ||||
\(551\) | 7.54638 | − | 13.0707i | 0.321487 | − | 0.556831i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 21.1139 | − | 36.5704i | 0.897044 | − | 1.55373i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 77.0331 | 3.26693 | ||||||||
\(557\) | −15.0402 | + | 26.0503i | −0.637272 | + | 1.10379i | 0.348756 | + | 0.937213i | \(0.386604\pi\) |
−0.986029 | + | 0.166575i | \(0.946729\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.13298 | −0.0479202 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 23.2340 | 0.980069 | ||||||||
\(563\) | −9.81060 | − | 16.9925i | −0.413468 | − | 0.716147i | 0.581799 | − | 0.813333i | \(-0.302349\pi\) |
−0.995266 | + | 0.0971860i | \(0.969016\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 25.5154 | − | 44.1940i | 1.07344 | − | 1.85926i | ||||
\(566\) | −41.5049 | −1.74458 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 42.7601 | 1.79417 | ||||||||
\(569\) | −0.687159 | + | 1.19019i | −0.0288072 | + | 0.0498955i | −0.880070 | − | 0.474845i | \(-0.842504\pi\) |
0.851262 | + | 0.524740i | \(0.175838\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.69076 | − | 15.0528i | −0.363697 | − | 0.629941i | 0.624869 | − | 0.780729i | \(-0.285152\pi\) |
−0.988566 | + | 0.150788i | \(0.951819\pi\) | |||||||
\(572\) | −0.802077 | −0.0335365 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −38.9545 | −1.62451 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 13.5274 | − | 23.4301i | 0.563153 | − | 0.975409i | −0.434066 | − | 0.900881i | \(-0.642922\pi\) |
0.997219 | − | 0.0745283i | \(-0.0237451\pi\) | |||||||
\(578\) | −16.1881 | −0.673337 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −56.7080 | + | 98.2211i | −2.35467 | + | 4.07841i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.725191 | − | 1.25607i | 0.0300344 | − | 0.0520210i | ||||
\(584\) | −4.98715 | + | 8.63800i | −0.206370 | + | 0.357443i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 4.58005 | + | 7.93288i | 0.189200 | + | 0.327704i | ||||
\(587\) | 3.75700 | + | 6.50731i | 0.155068 | + | 0.268585i | 0.933084 | − | 0.359659i | \(-0.117107\pi\) |
−0.778016 | + | 0.628245i | \(0.783774\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 6.93414 | − | 12.0103i | 0.285716 | − | 0.494875i | ||||
\(590\) | 55.0698 | 2.26719 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 10.0718 | 0.413948 | ||||||||
\(593\) | 17.7904 | + | 30.8139i | 0.730565 | + | 1.26538i | 0.956642 | + | 0.291266i | \(0.0940765\pi\) |
−0.226077 | + | 0.974109i | \(0.572590\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −19.6659 | − | 34.0623i | −0.805545 | − | 1.39524i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.78340 | − | 4.82100i | −0.113822 | − | 0.197145i | ||||
\(599\) | −5.74105 | − | 9.94379i | −0.234573 | − | 0.406292i | 0.724576 | − | 0.689195i | \(-0.242036\pi\) |
−0.959148 | + | 0.282903i | \(0.908702\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.190030 | + | 0.329142i | 0.00775150 | + | 0.0134260i | 0.869875 | − | 0.493272i | \(-0.164199\pi\) |
−0.862124 | + | 0.506698i | \(0.830866\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 26.0167 | + | 45.0623i | 1.05861 | + | 1.83356i | ||||
\(605\) | 39.6346 | 1.61138 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −18.5409 | −0.752551 | −0.376275 | − | 0.926508i | \(-0.622795\pi\) | ||||
−0.376275 | + | 0.926508i | \(0.622795\pi\) | |||||||
\(608\) | 0.532351 | − | 0.922058i | 0.0215897 | − | 0.0373944i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −36.1249 | − | 62.5702i | −1.46265 | − | 2.53339i | ||||
\(611\) | 1.53736 | + | 2.66278i | 0.0621949 | + | 0.107725i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.66225 | + | 6.34321i | −0.147917 | + | 0.256200i | −0.930457 | − | 0.366400i | \(-0.880590\pi\) |
0.782540 | + | 0.622600i | \(0.213924\pi\) | |||||||
\(614\) | 37.6077 | − | 65.1385i | 1.51772 | − | 2.62877i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −12.7427 | + | 22.0710i | −0.513002 | + | 0.888546i | 0.486884 | + | 0.873466i | \(0.338133\pi\) |
−0.999886 | + | 0.0150791i | \(0.995200\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 32.8963 | 1.32222 | 0.661108 | − | 0.750291i | \(-0.270087\pi\) | ||||
0.661108 | + | 0.750291i | \(0.270087\pi\) | |||||||
\(620\) | −52.1072 | + | 90.2523i | −2.09267 | + | 3.62462i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −25.6748 | −1.02947 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.34221 | 0.133689 | ||||||||
\(626\) | −0.762585 | − | 1.32084i | −0.0304790 | − | 0.0527912i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 42.4636 | − | 73.5490i | 1.69448 | − | 2.93493i | ||||
\(629\) | 11.3016 | 0.450626 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 29.8683 | 1.18904 | 0.594519 | − | 0.804082i | \(-0.297343\pi\) | ||||
0.594519 | + | 0.804082i | \(0.297343\pi\) | |||||||
\(632\) | 20.6264 | − | 35.7259i | 0.820472 | − | 1.42110i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −12.6082 | − | 21.8380i | −0.500734 | − | 0.867297i | ||||
\(635\) | 56.8603 | 2.25643 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −7.64766 | −0.302774 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 34.9496 | − | 60.5344i | 1.38150 | − | 2.39283i | ||||
\(641\) | −11.4605 | −0.452663 | −0.226331 | − | 0.974050i | \(-0.572673\pi\) | ||||
−0.226331 | + | 0.974050i | \(0.572673\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 8.69078 | − | 15.0529i | 0.342731 | − | 0.593627i | −0.642208 | − | 0.766531i | \(-0.721981\pi\) |
0.984939 | + | 0.172903i | \(0.0553147\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 11.7896 | − | 20.4202i | 0.463855 | − | 0.803421i | ||||
\(647\) | 12.6720 | − | 21.9485i | 0.498186 | − | 0.862883i | −0.501812 | − | 0.864977i | \(-0.667333\pi\) |
0.999998 | + | 0.00209358i | \(0.000666408\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.24332 | + | 2.15349i | 0.0488045 | + | 0.0845320i | ||||
\(650\) | 5.01954 | + | 8.69410i | 0.196883 | + | 0.341011i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 22.6264 | − | 39.1900i | 0.886116 | − | 1.53480i | ||||
\(653\) | −14.0833 | −0.551121 | −0.275560 | − | 0.961284i | \(-0.588863\pi\) | ||||
−0.275560 | + | 0.961284i | \(0.588863\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 31.1445 | 1.21692 | ||||||||
\(656\) | −16.2581 | − | 28.1599i | −0.634774 | − | 1.09946i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 19.0854 | + | 33.0569i | 0.743462 | + | 1.28771i | 0.950910 | + | 0.309467i | \(0.100151\pi\) |
−0.207449 | + | 0.978246i | \(0.566516\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.176866 | + | 0.306341i | 0.00687930 | + | 0.0119153i | 0.869445 | − | 0.494031i | \(-0.164477\pi\) |
−0.862565 | + | 0.505946i | \(0.831144\pi\) | |||||||
\(662\) | −25.0526 | − | 43.3924i | −0.973698 | − | 1.68649i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 30.7591 | + | 53.2764i | 1.19369 | + | 2.06752i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −17.7719 | − | 30.7818i | −0.688130 | − | 1.19188i | ||||
\(668\) | 14.0281 | 0.542762 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 32.4096 | 1.25209 | ||||||||
\(671\) | 1.63119 | − | 2.82531i | 0.0629715 | − | 0.109070i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 10.5555 | + | 18.2827i | 0.406886 | + | 0.704748i | 0.994539 | − | 0.104365i | \(-0.0332811\pi\) |
−0.587653 | + | 0.809113i | \(0.699948\pi\) | |||||||
\(674\) | −7.02704 | − | 12.1712i | −0.270672 | − | 0.468817i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 25.8712 | − | 44.8102i | 0.995046 | − | 1.72347i | ||||
\(677\) | 10.5732 | − | 18.3133i | 0.406361 | − | 0.703837i | −0.588118 | − | 0.808775i | \(-0.700131\pi\) |
0.994479 | + | 0.104938i | \(0.0334643\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −44.8879 | + | 77.7482i | −1.72137 | + | 2.98151i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −7.02720 | −0.269085 | ||||||||
\(683\) | 17.3858 | − | 30.1131i | 0.665249 | − | 1.15224i | −0.313969 | − | 0.949433i | \(-0.601659\pi\) |
0.979218 | − | 0.202811i | \(-0.0650078\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.37998 | 0.0527264 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −10.0718 | −0.383984 | ||||||||
\(689\) | −0.868609 | − | 1.50447i | −0.0330914 | − | 0.0573159i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −17.3246 | + | 30.0071i | −0.659059 | + | 1.14152i | 0.321801 | + | 0.946807i | \(0.395712\pi\) |
−0.980860 | + | 0.194716i | \(0.937622\pi\) | |||||||
\(692\) | −24.5418 | −0.932940 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 21.8525 | 0.829511 | ||||||||
\(695\) | 34.7542 | − | 60.1960i | 1.31830 | − | 2.28336i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −18.2434 | − | 31.5985i | −0.691017 | − | 1.19688i | ||||
\(698\) | 51.6087 | 1.95342 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 48.6050 | 1.83579 | 0.917894 | − | 0.396826i | \(-0.129889\pi\) | ||||
0.917894 | + | 0.396826i | \(0.129889\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.29661 | + | 3.97784i | −0.0866182 | + | 0.150027i | ||||
\(704\) | 2.97802 | 0.112238 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −18.1651 | + | 31.4629i | −0.683654 | + | 1.18412i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.05408 | + | 3.55778i | −0.0771428 | + | 0.133615i | −0.902016 | − | 0.431702i | \(-0.857913\pi\) |
0.824873 | + | 0.565318i | \(0.191246\pi\) | |||||||
\(710\) | 38.0753 | − | 65.9483i | 1.42894 | − | 2.47500i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 37.4764 | + | 64.9110i | 1.40449 | + | 2.43264i | ||||
\(713\) | −16.3300 | − | 28.2844i | −0.611564 | − | 1.05926i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.361864 | + | 0.626767i | −0.0135330 | + | 0.0234398i | ||||
\(716\) | −37.0263 | −1.38374 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 17.7453 | 0.662249 | ||||||||
\(719\) | 24.1408 | + | 41.8131i | 0.900299 | + | 1.55936i | 0.827106 | + | 0.562047i | \(0.189986\pi\) |
0.0731939 | + | 0.997318i | \(0.476681\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −18.5833 | − | 32.1872i | −0.691597 | − | 1.19788i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 24.2187 | + | 41.9481i | 0.900082 | + | 1.55899i | ||||
\(725\) | 32.0495 | + | 55.5114i | 1.19029 | + | 2.06164i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 20.5151 | + | 35.5332i | 0.760863 | + | 1.31785i | 0.942406 | + | 0.334470i | \(0.108557\pi\) |
−0.181543 | + | 0.983383i | \(0.558109\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 8.88151 | + | 15.3832i | 0.328720 | + | 0.569359i | ||||
\(731\) | −11.3016 | −0.418006 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 30.5428 | 1.12812 | 0.564062 | − | 0.825733i | \(-0.309238\pi\) | ||||
0.564062 | + | 0.825733i | \(0.309238\pi\) | |||||||
\(734\) | 13.5011 | − | 23.3845i | 0.498334 | − | 0.863139i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.25370 | − | 2.17147i | −0.0462118 | − | 0.0800413i | ||||
\(737\) | 0.731715 | + | 1.26737i | 0.0269531 | + | 0.0466841i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.9100 | + | 20.6288i | −0.438117 | + | 0.758841i | −0.997544 | − | 0.0700384i | \(-0.977688\pi\) |
0.559427 | + | 0.828880i | \(0.311021\pi\) | |||||||
\(740\) | 17.2581 | − | 29.8918i | 0.634419 | − | 1.09885i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.26089 | − | 9.11213i | 0.193003 | − | 0.334292i | −0.753241 | − | 0.657745i | \(-0.771510\pi\) |
0.946244 | + | 0.323453i | \(0.104844\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −35.4897 | −1.30024 | ||||||||
\(746\) | −0.668971 | + | 1.15869i | −0.0244928 | + | 0.0424227i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −8.00079 | −0.292538 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −10.2704 | −0.374773 | −0.187386 | − | 0.982286i | \(-0.560002\pi\) | ||||
−0.187386 | + | 0.982286i | \(0.560002\pi\) | |||||||
\(752\) | 13.6665 | + | 23.6711i | 0.498367 | + | 0.863197i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −4.58005 | + | 7.93288i | −0.166796 | + | 0.288899i | ||||
\(755\) | 46.9507 | 1.70871 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 8.03930 | 0.292193 | 0.146097 | − | 0.989270i | \(-0.453329\pi\) | ||||
0.146097 | + | 0.989270i | \(0.453329\pi\) | |||||||
\(758\) | −27.9159 | + | 48.3518i | −1.01395 | + | 1.75622i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −18.2434 | − | 31.5985i | −0.661757 | − | 1.14620i | ||||
\(761\) | −27.6604 | −1.00269 | −0.501345 | − | 0.865247i | \(-0.667161\pi\) | ||||
−0.501345 | + | 0.865247i | \(0.667161\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −37.0554 | −1.34062 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 43.9371 | − | 76.1013i | 1.58751 | − | 2.74965i | ||||
\(767\) | 2.97841 | 0.107544 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 16.9613 | − | 29.3778i | 0.611640 | − | 1.05939i | −0.379324 | − | 0.925264i | \(-0.623843\pi\) |
0.990964 | − | 0.134128i | \(-0.0428233\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −34.3442 | + | 59.4858i | −1.23607 | + | 2.14094i | ||||
\(773\) | −14.2978 | + | 24.7645i | −0.514256 | + | 0.890717i | 0.485607 | + | 0.874177i | \(0.338599\pi\) |
−0.999863 | + | 0.0165403i | \(0.994735\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 29.4493 | + | 51.0077i | 1.05785 | + | 1.83225i | ||||
\(776\) | 23.9753 | + | 41.5265i | 0.860664 | + | 1.49071i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −47.5605 | + | 82.3772i | −1.70513 | + | 2.95337i | ||||
\(779\) | 14.8290 | 0.531303 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.43852 | 0.123040 | ||||||||
\(782\) | −27.7647 | − | 48.0899i | −0.992864 | − | 1.71969i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −38.3157 | − | 66.3647i | −1.36754 | − | 2.36866i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −23.0017 | − | 39.8402i | −0.819923 | − | 1.42015i | −0.905738 | − | 0.423838i | \(-0.860683\pi\) |
0.0858145 | − | 0.996311i | \(-0.472651\pi\) | |||||||
\(788\) | −43.2111 | − | 74.8438i | −1.53933 | − | 2.66620i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −36.7330 | − | 63.6235i | −1.30690 | − | 2.26362i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.95379 | − | 3.38406i | −0.0693810 | − | 0.120171i | ||||
\(794\) | −29.3977 | −1.04328 | ||||||||
\(795\) | 0 | 0 |