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: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
Defining polynomial: | \(x^{6} - 3 x^{5} + 10 x^{4} - 15 x^{3} + 19 x^{2} - 12 x + 3\) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 667.1 | ||
Root | \(0.500000 - 2.05195i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1323.667 |
Dual form | 1323.2.g.c.361.1 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1323\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23025 | − | 2.13086i | −0.869920 | − | 1.50675i | −0.862078 | − | 0.506776i | \(-0.830837\pi\) |
−0.00784213 | − | 0.999969i | \(-0.502496\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.02704 | + | 3.51094i | −1.01352 | + | 1.75547i | ||||
\(5\) | 2.59358 | 1.15988 | 0.579942 | − | 0.814658i | \(-0.303075\pi\) | ||||
0.579942 | + | 0.814658i | \(0.303075\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 5.05408 | 1.78689 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.19076 | − | 5.52655i | −1.00901 | − | 1.74765i | ||||
\(11\) | −4.51459 | −1.36120 | −0.680600 | − | 0.732655i | \(-0.738281\pi\) | ||||
−0.680600 | + | 0.732655i | \(0.738281\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.500000 | − | 0.866025i | −0.138675 | − | 0.240192i | 0.788320 | − | 0.615265i | \(-0.210951\pi\) |
−0.926995 | + | 0.375073i | \(0.877618\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.16372 | − | 3.74766i | −0.540929 | − | 0.936916i | ||||
\(17\) | −0.472958 | − | 0.819187i | −0.114709 | − | 0.198682i | 0.802954 | − | 0.596041i | \(-0.203260\pi\) |
−0.917663 | + | 0.397359i | \(0.869927\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.02704 | − | 3.51094i | 0.465035 | − | 0.805465i | −0.534168 | − | 0.845378i | \(-0.679375\pi\) |
0.999203 | + | 0.0399136i | \(0.0127083\pi\) | |||||||
\(20\) | −5.25729 | + | 9.10590i | −1.17557 | + | 2.03614i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.55408 | + | 9.61996i | 1.18413 | + | 2.05098i | ||||
\(23\) | 0.273346 | 0.0569966 | 0.0284983 | − | 0.999594i | \(-0.490927\pi\) | ||||
0.0284983 | + | 0.999594i | \(0.490927\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.72665 | 0.345331 | ||||||||
\(26\) | −1.23025 | + | 2.13086i | −0.241272 | + | 0.417896i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.23025 | − | 2.13086i | 0.228452 | − | 0.395691i | −0.728897 | − | 0.684623i | \(-0.759967\pi\) |
0.957350 | + | 0.288932i | \(0.0933002\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.16372 | + | 2.01561i | −0.209009 | + | 0.362015i | −0.951403 | − | 0.307949i | \(-0.900357\pi\) |
0.742393 | + | 0.669964i | \(0.233691\pi\) | |||||||
\(32\) | −0.269748 | + | 0.467216i | −0.0476851 | + | 0.0825930i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.16372 | + | 2.01561i | −0.199576 | + | 0.345675i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.890369 | + | 1.54216i | −0.146376 | + | 0.253530i | −0.929885 | − | 0.367849i | \(-0.880094\pi\) |
0.783510 | + | 0.621380i | \(0.213428\pi\) | |||||||
\(38\) | −9.97509 | −1.61817 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 13.1082 | 2.07258 | ||||||||
\(41\) | −3.20321 | − | 5.54812i | −0.500257 | − | 0.866471i | −1.00000 | 0.000297253i | \(-0.999905\pi\) | |
0.499743 | − | 0.866174i | \(-0.333428\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.21780 | − | 9.03749i | 0.795707 | − | 1.37820i | −0.126682 | − | 0.991943i | \(-0.540433\pi\) |
0.922389 | − | 0.386262i | \(-0.126234\pi\) | |||||||
\(44\) | 9.15126 | − | 15.8505i | 1.37960 | − | 2.38955i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.336285 | − | 0.582462i | −0.0495825 | − | 0.0858794i | ||||
\(47\) | −6.08113 | − | 10.5328i | −0.887023 | − | 1.53637i | −0.843377 | − | 0.537323i | \(-0.819436\pi\) |
−0.0436467 | − | 0.999047i | \(-0.513898\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −2.12422 | − | 3.67926i | −0.300410 | − | 0.520326i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.05408 | 0.562200 | ||||||||
\(53\) | −3.13667 | − | 5.43288i | −0.430855 | − | 0.746263i | 0.566092 | − | 0.824342i | \(-0.308455\pi\) |
−0.996947 | + | 0.0780790i | \(0.975121\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −11.7089 | −1.57883 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.05408 | −0.794940 | ||||||||
\(59\) | −1.36333 | + | 2.36135i | −0.177490 | + | 0.307422i | −0.941020 | − | 0.338350i | \(-0.890131\pi\) |
0.763530 | + | 0.645772i | \(0.223464\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.13667 | + | 1.96878i | 0.145536 | + | 0.252076i | 0.929573 | − | 0.368639i | \(-0.120176\pi\) |
−0.784037 | + | 0.620714i | \(0.786843\pi\) | |||||||
\(62\) | 5.72665 | 0.727286 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.32743 | −0.915929 | ||||||||
\(65\) | −1.29679 | − | 2.24611i | −0.160847 | − | 0.278595i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.90856 | − | 13.6980i | 0.966184 | − | 1.67348i | 0.259784 | − | 0.965667i | \(-0.416349\pi\) |
0.706400 | − | 0.707813i | \(-0.250318\pi\) | |||||||
\(68\) | 3.83482 | 0.465041 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.27335 | −0.388475 | −0.194237 | − | 0.980955i | \(-0.562223\pi\) | ||||
−0.194237 | + | 0.980955i | \(0.562223\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.753696 | + | 1.30544i | 0.0882134 | + | 0.152790i | 0.906756 | − | 0.421656i | \(-0.138551\pi\) |
−0.818543 | + | 0.574446i | \(0.805218\pi\) | |||||||
\(74\) | 4.38151 | 0.509341 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.21780 | + | 14.2336i | 0.942646 | + | 1.63271i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.35447 | − | 12.7383i | −0.827443 | − | 1.43317i | −0.900038 | − | 0.435811i | \(-0.856461\pi\) |
0.0725952 | − | 0.997361i | \(-0.476872\pi\) | |||||||
\(80\) | −5.61177 | − | 9.71987i | −0.627415 | − | 1.08671i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −7.88151 | + | 13.6512i | −0.870368 | + | 1.50752i | ||||
\(83\) | −0.472958 | + | 0.819187i | −0.0519139 | + | 0.0899175i | −0.890815 | − | 0.454367i | \(-0.849865\pi\) |
0.838901 | + | 0.544285i | \(0.183199\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.22665 | − | 2.12463i | −0.133049 | − | 0.230448i | ||||
\(86\) | −25.6768 | −2.76881 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −22.8171 | −2.43231 | ||||||||
\(89\) | −7.17830 | + | 12.4332i | −0.760899 | + | 1.31792i | 0.181489 | + | 0.983393i | \(0.441908\pi\) |
−0.942388 | + | 0.334522i | \(0.891425\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −0.554084 | + | 0.959702i | −0.0577673 | + | 0.100056i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −14.9626 | + | 25.9161i | −1.54328 | + | 2.67304i | ||||
\(95\) | 5.25729 | − | 9.10590i | 0.539387 | − | 0.934246i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.74484 | − | 9.95036i | 0.583300 | − | 1.01031i | −0.411785 | − | 0.911281i | \(-0.635094\pi\) |
0.995085 | − | 0.0990246i | \(-0.0315722\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.50000 | + | 6.06218i | −0.350000 | + | 0.606218i | ||||
\(101\) | 3.67977 | 0.366150 | 0.183075 | − | 0.983099i | \(-0.441395\pi\) | ||||
0.183075 | + | 0.983099i | \(0.441395\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.72665 | −0.958396 | −0.479198 | − | 0.877707i | \(-0.659072\pi\) | ||||
−0.479198 | + | 0.877707i | \(0.659072\pi\) | |||||||
\(104\) | −2.52704 | − | 4.37697i | −0.247797 | − | 0.429197i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.71780 | + | 13.3676i | −0.749619 | + | 1.29838i | ||||
\(107\) | −0.687159 | + | 1.19019i | −0.0664301 | + | 0.115060i | −0.897327 | − | 0.441365i | \(-0.854494\pi\) |
0.830897 | + | 0.556426i | \(0.187828\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.69961 | + | 2.94381i | 0.162793 | + | 0.281966i | 0.935869 | − | 0.352347i | \(-0.114616\pi\) |
−0.773076 | + | 0.634313i | \(0.781283\pi\) | |||||||
\(110\) | 14.4050 | + | 24.9501i | 1.37346 | + | 2.37890i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 5.19436 | + | 8.99689i | 0.488644 | + | 0.846356i | 0.999915 | − | 0.0130636i | \(-0.00415840\pi\) |
−0.511271 | + | 0.859420i | \(0.670825\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.708945 | 0.0661095 | ||||||||
\(116\) | 4.98755 | + | 8.63868i | 0.463082 | + | 0.802082i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 6.70895 | 0.617608 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.38151 | 0.852865 | ||||||||
\(122\) | 2.79679 | − | 4.84418i | 0.253209 | − | 0.438572i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.71780 | − | 8.17147i | −0.423671 | − | 0.733820i | ||||
\(125\) | −8.48968 | −0.759340 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.672570 | 0.0596809 | 0.0298405 | − | 0.999555i | \(-0.490500\pi\) | ||||
0.0298405 | + | 0.999555i | \(0.490500\pi\) | |||||||
\(128\) | 9.55408 | + | 16.5482i | 0.844470 | + | 1.46266i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.19076 | + | 5.52655i | −0.279848 | + | 0.484711i | ||||
\(131\) | −7.91381 | −0.691433 | −0.345717 | − | 0.938339i | \(-0.612364\pi\) | ||||
−0.345717 | + | 0.938339i | \(0.612364\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −38.9181 | −3.36201 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.39037 | − | 4.14024i | −0.204972 | − | 0.355023i | ||||
\(137\) | 3.67257 | 0.313769 | 0.156884 | − | 0.987617i | \(-0.449855\pi\) | ||||
0.156884 | + | 0.987617i | \(0.449855\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.02704 | + | 1.77889i | 0.0871126 | + | 0.150883i | 0.906289 | − | 0.422658i | \(-0.138903\pi\) |
−0.819177 | + | 0.573541i | \(0.805569\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 4.02704 | + | 6.97504i | 0.337942 | + | 0.585332i | ||||
\(143\) | 2.25729 | + | 3.90975i | 0.188764 | + | 0.326950i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.19076 | − | 5.52655i | 0.264978 | − | 0.458955i | ||||
\(146\) | 1.85447 | − | 3.21204i | 0.153477 | − | 0.265830i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.60963 | − | 6.25206i | −0.296710 | − | 0.513917i | ||||
\(149\) | 13.5438 | 1.10955 | 0.554774 | − | 0.832001i | \(-0.312805\pi\) | ||||
0.554774 | + | 0.832001i | \(0.312805\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.92821 | 0.807946 | 0.403973 | − | 0.914771i | \(-0.367629\pi\) | ||||
0.403973 | + | 0.914771i | \(0.367629\pi\) | |||||||
\(152\) | 10.2448 | − | 17.7446i | 0.830966 | − | 1.43928i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.01819 | + | 5.22765i | −0.242427 | + | 0.419895i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.02704 | + | 5.24299i | −0.241584 | + | 0.418436i | −0.961166 | − | 0.275972i | \(-0.911000\pi\) |
0.719581 | + | 0.694408i | \(0.244334\pi\) | |||||||
\(158\) | −18.0957 | + | 31.3427i | −1.43962 | + | 2.49349i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.699612 | + | 1.21176i | −0.0553092 | + | 0.0957983i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.90856 | + | 15.4301i | −0.697772 | + | 1.20858i | 0.271465 | + | 0.962448i | \(0.412492\pi\) |
−0.969237 | + | 0.246128i | \(0.920842\pi\) | |||||||
\(164\) | 25.9722 | 2.02809 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.32743 | 0.180644 | ||||||||
\(167\) | −4.23385 | − | 7.33325i | −0.327625 | − | 0.567464i | 0.654415 | − | 0.756136i | \(-0.272915\pi\) |
−0.982040 | + | 0.188672i | \(0.939582\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.00000 | − | 10.3923i | 0.461538 | − | 0.799408i | ||||
\(170\) | −3.01819 | + | 5.22765i | −0.231484 | + | 0.400943i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 21.1534 | + | 36.6388i | 1.61293 | + | 2.79368i | ||||
\(173\) | 8.67830 | + | 15.0313i | 0.659799 | + | 1.14281i | 0.980667 | + | 0.195682i | \(0.0626920\pi\) |
−0.320868 | + | 0.947124i | \(0.603975\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 9.76829 | + | 16.9192i | 0.736312 | + | 1.27533i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 35.3245 | 2.64768 | ||||||||
\(179\) | −5.67471 | − | 9.82888i | −0.424147 | − | 0.734645i | 0.572193 | − | 0.820119i | \(-0.306093\pi\) |
−0.996340 | + | 0.0854741i | \(0.972759\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 21.8889 | 1.62699 | 0.813495 | − | 0.581572i | \(-0.197562\pi\) | ||||
0.813495 | + | 0.581572i | \(0.197562\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.38151 | 0.101847 | ||||||||
\(185\) | −2.30924 | + | 3.99973i | −0.169779 | + | 0.294066i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.13521 | + | 3.69829i | 0.156142 | + | 0.270446i | ||||
\(188\) | 49.3068 | 3.59607 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −25.8712 | −1.87689 | ||||||||
\(191\) | −0.350874 | − | 0.607731i | −0.0253883 | − | 0.0439739i | 0.853052 | − | 0.521826i | \(-0.174749\pi\) |
−0.878440 | + | 0.477852i | \(0.841416\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.07227 | + | 10.5175i | −0.437092 | + | 0.757065i | −0.997464 | − | 0.0711760i | \(-0.977325\pi\) |
0.560372 | + | 0.828241i | \(0.310658\pi\) | |||||||
\(194\) | −28.2704 | −2.02970 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 16.4107 | 1.16921 | 0.584607 | − | 0.811317i | \(-0.301249\pi\) | ||||
0.584607 | + | 0.811317i | \(0.301249\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.3530 | − | 19.6640i | −0.804794 | − | 1.39394i | −0.916430 | − | 0.400194i | \(-0.868943\pi\) |
0.111637 | − | 0.993749i | \(-0.464391\pi\) | |||||||
\(200\) | 8.72665 | 0.617068 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.52704 | − | 7.84107i | −0.318522 | − | 0.551696i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −8.30778 | − | 14.3895i | −0.580241 | − | 1.00501i | ||||
\(206\) | 11.9662 | + | 20.7261i | 0.833727 | + | 1.44406i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.16372 | + | 3.74766i | −0.150027 | + | 0.259854i | ||||
\(209\) | −9.15126 | + | 15.8505i | −0.633006 | + | 1.09640i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.28074 | − | 3.95035i | −0.157012 | − | 0.271954i | 0.776778 | − | 0.629775i | \(-0.216853\pi\) |
−0.933790 | + | 0.357822i | \(0.883520\pi\) | |||||||
\(212\) | 25.4327 | 1.74672 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.38151 | 0.231156 | ||||||||
\(215\) | 13.5328 | − | 23.4395i | 0.922928 | − | 1.59856i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 4.18190 | − | 7.24327i | 0.283234 | − | 0.490576i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 23.7345 | − | 41.1094i | 1.60018 | − | 2.77160i | ||||
\(221\) | −0.472958 | + | 0.819187i | −0.0318146 | + | 0.0551045i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.66225 | + | 11.5394i | −0.446137 | + | 0.772733i | −0.998131 | − | 0.0611159i | \(-0.980534\pi\) |
0.551993 | + | 0.833849i | \(0.313867\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 12.7807 | − | 22.1369i | 0.850162 | − | 1.47252i | ||||
\(227\) | −1.38151 | −0.0916943 | −0.0458472 | − | 0.998948i | \(-0.514599\pi\) | ||||
−0.0458472 | + | 0.998948i | \(0.514599\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.9794 | −1.18811 | −0.594055 | − | 0.804424i | \(-0.702474\pi\) | ||||
−0.594055 | + | 0.804424i | \(0.702474\pi\) | |||||||
\(230\) | −0.872181 | − | 1.51066i | −0.0575099 | − | 0.0996101i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.21780 | − | 10.7695i | 0.408219 | − | 0.707055i | ||||
\(233\) | −9.49115 | + | 16.4391i | −0.621786 | + | 1.07696i | 0.367367 | + | 0.930076i | \(0.380259\pi\) |
−0.989153 | + | 0.146888i | \(0.953074\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −15.7719 | − | 27.3177i | −1.02884 | − | 1.78201i | ||||
\(236\) | −5.52704 | − | 9.57312i | −0.359780 | − | 0.623157i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.44592 | + | 4.23645i | 0.158213 | + | 0.274033i | 0.934224 | − | 0.356686i | \(-0.116093\pi\) |
−0.776011 | + | 0.630719i | \(0.782760\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −26.1593 | −1.68507 | −0.842535 | − | 0.538641i | \(-0.818938\pi\) | ||||
−0.842535 | + | 0.538641i | \(0.818938\pi\) | |||||||
\(242\) | −11.5416 | − | 19.9907i | −0.741924 | − | 1.28505i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −9.21634 | −0.590016 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.05408 | −0.257955 | ||||||||
\(248\) | −5.88151 | + | 10.1871i | −0.373477 | + | 0.646880i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 10.4445 | + | 18.0903i | 0.660565 | + | 1.14413i | ||||
\(251\) | −18.4576 | −1.16503 | −0.582516 | − | 0.812819i | \(-0.697932\pi\) | ||||
−0.582516 | + | 0.812819i | \(0.697932\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.23405 | −0.0775838 | ||||||||
\(254\) | −0.827430 | − | 1.43315i | −0.0519176 | − | 0.0899239i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 16.1804 | − | 28.0253i | 1.01128 | − | 1.75158i | ||||
\(257\) | 11.7339 | 0.731938 | 0.365969 | − | 0.930627i | \(-0.380738\pi\) | ||||
0.365969 | + | 0.930627i | \(0.380738\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 10.5146 | 0.652087 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 9.73599 | + | 16.8632i | 0.601491 | + | 1.04181i | ||||
\(263\) | 7.52179 | 0.463813 | 0.231907 | − | 0.972738i | \(-0.425504\pi\) | ||||
0.231907 | + | 0.972738i | \(0.425504\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.13521 | − | 14.0906i | −0.499742 | − | 0.865579i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 32.0620 | + | 55.5329i | 1.95850 | + | 3.39221i | ||||
\(269\) | −9.41741 | − | 16.3114i | −0.574190 | − | 0.994526i | −0.996129 | − | 0.0879017i | \(-0.971984\pi\) |
0.421939 | − | 0.906624i | \(-0.361349\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.9911 | − | 20.7693i | 0.728410 | − | 1.26164i | −0.229145 | − | 0.973392i | \(-0.573593\pi\) |
0.957555 | − | 0.288251i | \(-0.0930738\pi\) | |||||||
\(272\) | −2.04669 | + | 3.54498i | −0.124099 | + | 0.214946i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.51819 | − | 7.82573i | −0.272954 | − | 0.472770i | ||||
\(275\) | −7.79513 | −0.470064 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.16225 | 0.430338 | 0.215169 | − | 0.976577i | \(-0.430970\pi\) | ||||
0.215169 | + | 0.976577i | \(0.430970\pi\) | |||||||
\(278\) | 2.52704 | − | 4.37697i | 0.151562 | − | 0.262513i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7.44085 | − | 12.8879i | 0.443884 | − | 0.768830i | −0.554090 | − | 0.832457i | \(-0.686933\pi\) |
0.997974 | + | 0.0636271i | \(0.0202668\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.99854 | + | 17.3180i | −0.594351 | + | 1.02945i | 0.399287 | + | 0.916826i | \(0.369258\pi\) |
−0.993638 | + | 0.112621i | \(0.964076\pi\) | |||||||
\(284\) | 6.63521 | − | 11.4925i | 0.393727 | − | 0.681956i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 5.55408 | − | 9.61996i | 0.328420 | − | 0.568840i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.05262 | − | 13.9475i | 0.473684 | − | 0.820444i | ||||
\(290\) | −15.7017 | −0.922038 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −6.11109 | −0.357625 | ||||||||
\(293\) | 7.53278 | + | 13.0472i | 0.440070 | + | 0.762223i | 0.997694 | − | 0.0678705i | \(-0.0216205\pi\) |
−0.557625 | + | 0.830093i | \(0.688287\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.53590 | + | 6.12435i | −0.205868 | + | 0.356574i | ||||
\(296\) | −4.50000 | + | 7.79423i | −0.261557 | + | 0.453030i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −16.6623 | − | 28.8599i | −0.965218 | − | 1.67181i | ||||
\(299\) | −0.136673 | − | 0.236725i | −0.00790401 | − | 0.0136901i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −12.2142 | − | 21.1556i | −0.702848 | − | 1.21737i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −17.5438 | −1.00620 | ||||||||
\(305\) | 2.94805 | + | 5.10618i | 0.168805 | + | 0.292379i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −27.2704 | −1.55641 | −0.778203 | − | 0.628013i | \(-0.783868\pi\) | ||||
−0.778203 | + | 0.628013i | \(0.783868\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 14.8525 | 0.843567 | ||||||||
\(311\) | −7.99115 | + | 13.8411i | −0.453136 | + | 0.784855i | −0.998579 | − | 0.0532931i | \(-0.983028\pi\) |
0.545443 | + | 0.838148i | \(0.316362\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.79893 | − | 10.0440i | −0.327775 | − | 0.567722i | 0.654295 | − | 0.756239i | \(-0.272965\pi\) |
−0.982070 | + | 0.188517i | \(0.939632\pi\) | |||||||
\(314\) | 14.8961 | 0.840636 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 59.6313 | 3.35452 | ||||||||
\(317\) | −1.00885 | − | 1.74739i | −0.0566629 | − | 0.0981430i | 0.836303 | − | 0.548268i | \(-0.184713\pi\) |
−0.892965 | + | 0.450125i | \(0.851379\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.55408 | + | 9.61996i | −0.310969 | + | 0.538614i | ||||
\(320\) | −19.0043 | −1.06237 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.83482 | −0.213375 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.863327 | − | 1.49533i | −0.0478888 | − | 0.0829458i | ||||
\(326\) | 43.8391 | 2.42802 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −16.1893 | − | 28.0407i | −0.893904 | − | 1.54829i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.85447 | + | 17.0684i | 0.541651 | + | 0.938167i | 0.998809 | + | 0.0487815i | \(0.0155338\pi\) |
−0.457159 | + | 0.889385i | \(0.651133\pi\) | |||||||
\(332\) | −1.91741 | − | 3.32105i | −0.105232 | − | 0.182266i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −10.4174 | + | 18.0435i | −0.570015 | + | 0.987296i | ||||
\(335\) | 20.5115 | − | 35.5269i | 1.12066 | − | 1.94104i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.5256 | + | 25.1590i | 0.791259 | + | 1.37050i | 0.925188 | + | 0.379509i | \(0.123907\pi\) |
−0.133929 | + | 0.990991i | \(0.542759\pi\) | |||||||
\(338\) | −29.5261 | −1.60601 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 9.94592 | 0.539393 | ||||||||
\(341\) | 5.25370 | − | 9.09967i | 0.284504 | − | 0.492775i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 26.3712 | − | 45.6763i | 1.42184 | − | 2.46270i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 21.3530 | − | 36.9845i | 1.14794 | − | 1.98830i | ||||
\(347\) | 14.5416 | − | 25.1868i | 0.780636 | − | 1.35210i | −0.150936 | − | 0.988544i | \(-0.548229\pi\) |
0.931572 | − | 0.363557i | \(-0.118438\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.3815 | + | 21.4454i | −0.662767 | + | 1.14795i | 0.317118 | + | 0.948386i | \(0.397285\pi\) |
−0.979885 | + | 0.199561i | \(0.936049\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.21780 | − | 2.10929i | 0.0649089 | − | 0.112426i | ||||
\(353\) | 33.3025 | 1.77251 | 0.886257 | − | 0.463193i | \(-0.153296\pi\) | ||||
0.886257 | + | 0.463193i | \(0.153296\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.48968 | −0.450586 | ||||||||
\(356\) | −29.1015 | − | 50.4052i | −1.54237 | − | 2.67147i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −13.9626 | + | 24.1840i | −0.737949 | + | 1.27816i | ||||
\(359\) | 12.7683 | − | 22.1153i | 0.673884 | − | 1.16720i | −0.302909 | − | 0.953019i | \(-0.597958\pi\) |
0.976794 | − | 0.214182i | \(-0.0687087\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.28220 | + | 2.22084i | 0.0674842 | + | 0.116886i | ||||
\(362\) | −26.9289 | − | 46.6422i | −1.41535 | − | 2.45146i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.95477 | + | 3.38576i | 0.102317 | + | 0.177219i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 27.4504 | 1.43290 | 0.716449 | − | 0.697639i | \(-0.245766\pi\) | ||||
0.716449 | + | 0.697639i | \(0.245766\pi\) | |||||||
\(368\) | −0.591443 | − | 1.02441i | −0.0308311 | − | 0.0534011i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 11.3638 | 0.590776 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 16.3274 | 0.845402 | 0.422701 | − | 0.906269i | \(-0.361082\pi\) | ||||
0.422701 | + | 0.906269i | \(0.361082\pi\) | |||||||
\(374\) | 5.25370 | − | 9.09967i | 0.271662 | − | 0.470533i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −30.7345 | − | 53.2338i | −1.58501 | − | 2.74532i | ||||
\(377\) | −2.46050 | −0.126722 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12.0364 | 0.618267 | 0.309134 | − | 0.951019i | \(-0.399961\pi\) | ||||
0.309134 | + | 0.951019i | \(0.399961\pi\) | |||||||
\(380\) | 21.3135 | + | 36.9161i | 1.09336 | + | 1.89376i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.863327 | + | 1.49533i | −0.0441716 | + | 0.0765075i | ||||
\(383\) | 12.4356 | 0.635429 | 0.317715 | − | 0.948186i | \(-0.397085\pi\) | ||||
0.317715 | + | 0.948186i | \(0.397085\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 29.8817 | 1.52094 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 23.2901 | + | 40.3396i | 1.18237 | + | 2.04793i | ||||
\(389\) | −20.6008 | −1.04450 | −0.522250 | − | 0.852792i | \(-0.674907\pi\) | ||||
−0.522250 | + | 0.852792i | \(0.674907\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.129281 | − | 0.223922i | −0.00653803 | − | 0.0113242i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −20.1893 | − | 34.9689i | −1.01712 | − | 1.76171i | ||||
\(395\) | −19.0744 | − | 33.0378i | −0.959738 | − | 1.66231i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 11.8186 | − | 20.4704i | 0.593157 | − | 1.02738i | −0.400647 | − | 0.916233i | \(-0.631215\pi\) |
0.993804 | − | 0.111146i | \(-0.0354521\pi\) | |||||||
\(398\) | −27.9341 | + | 48.3833i | −1.40021 | + | 2.42524i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.73599 | − | 6.47092i | −0.186799 | − | 0.323546i | ||||
\(401\) | 2.56440 | 0.128060 | 0.0640300 | − | 0.997948i | \(-0.479605\pi\) | ||||
0.0640300 | + | 0.997948i | \(0.479605\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.32743 | 0.115938 | ||||||||
\(404\) | −7.45904 | + | 12.9194i | −0.371101 | + | 0.642766i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 4.01965 | − | 6.96224i | 0.199247 | − | 0.345105i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 17.1623 | − | 29.7259i | 0.848619 | − | 1.46985i | −0.0338223 | − | 0.999428i | \(-0.510768\pi\) |
0.882441 | − | 0.470423i | \(-0.155899\pi\) | |||||||
\(410\) | −20.4413 | + | 35.4054i | −1.00953 | + | 1.74855i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 19.7163 | − | 34.1497i | 0.971354 | − | 1.68243i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.22665 | + | 2.12463i | −0.0602141 | + | 0.104294i | ||||
\(416\) | 0.539495 | 0.0264509 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 45.0335 | 2.20266 | ||||||||
\(419\) | 2.02850 | + | 3.51347i | 0.0990989 | + | 0.171644i | 0.911312 | − | 0.411717i | \(-0.135071\pi\) |
−0.812213 | + | 0.583361i | \(0.801737\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.5344 | − | 18.2462i | 0.513417 | − | 0.889264i | −0.486462 | − | 0.873702i | \(-0.661713\pi\) |
0.999879 | − | 0.0155624i | \(-0.00495387\pi\) | |||||||
\(422\) | −5.61177 | + | 9.71987i | −0.273177 | + | 0.473156i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −15.8530 | − | 27.4582i | −0.769890 | − | 1.33349i | ||||
\(425\) | −0.816635 | − | 1.41445i | −0.0396126 | − | 0.0686110i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −2.78580 | − | 4.82515i | −0.134657 | − | 0.233232i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −66.5949 | −3.21149 | ||||||||
\(431\) | 11.3092 | + | 19.5882i | 0.544747 | + | 0.943530i | 0.998623 | + | 0.0524646i | \(0.0167077\pi\) |
−0.453876 | + | 0.891065i | \(0.649959\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.41789 | 0.116196 | 0.0580982 | − | 0.998311i | \(-0.481496\pi\) | ||||
0.0580982 | + | 0.998311i | \(0.481496\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −13.7807 | −0.659978 | ||||||||
\(437\) | 0.554084 | − | 0.959702i | 0.0265054 | − | 0.0459088i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 11.7448 | + | 20.3427i | 0.560551 | + | 0.970902i | 0.997448 | + | 0.0713911i | \(0.0227438\pi\) |
−0.436898 | + | 0.899511i | \(0.643923\pi\) | |||||||
\(440\) | −59.1780 | −2.82120 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.32743 | 0.110705 | ||||||||
\(443\) | −6.70895 | − | 11.6202i | −0.318752 | − | 0.552094i | 0.661476 | − | 0.749966i | \(-0.269930\pi\) |
−0.980228 | + | 0.197872i | \(0.936597\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −18.6175 | + | 32.2465i | −0.882554 | + | 1.52863i | ||||
\(446\) | 32.7850 | 1.55242 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 9.16225 | 0.432393 | 0.216197 | − | 0.976350i | \(-0.430635\pi\) | ||||
0.216197 | + | 0.976350i | \(0.430635\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.4612 | + | 25.0475i | 0.680950 | + | 1.17944i | ||||
\(452\) | −42.1167 | −1.98100 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.69961 | + | 2.94381i | 0.0797667 | + | 0.138160i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.40856 | − | 7.63584i | −0.206224 | − | 0.357190i | 0.744298 | − | 0.667847i | \(-0.232784\pi\) |
−0.950522 | + | 0.310658i | \(0.899451\pi\) | |||||||
\(458\) | 22.1192 | + | 38.3115i | 1.03356 | + | 1.79018i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.43706 | + | 2.48906i | −0.0670033 | + | 0.116053i | ||||
\(461\) | −2.82957 | + | 4.90095i | −0.131786 | + | 0.228260i | −0.924365 | − | 0.381509i | \(-0.875405\pi\) |
0.792579 | + | 0.609769i | \(0.208738\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.86333 | − | 13.6197i | −0.365440 | − | 0.632960i | 0.623407 | − | 0.781898i | \(-0.285748\pi\) |
−0.988847 | + | 0.148937i | \(0.952415\pi\) | |||||||
\(464\) | −10.6477 | −0.494305 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 46.7060 | 2.16361 | ||||||||
\(467\) | −10.9985 | + | 19.0500i | −0.508952 | + | 0.881530i | 0.490995 | + | 0.871163i | \(0.336633\pi\) |
−0.999946 | + | 0.0103675i | \(0.996700\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −38.8068 | + | 67.2153i | −1.79002 | + | 3.10041i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −6.89037 | + | 11.9345i | −0.317155 | + | 0.549328i | ||||
\(473\) | −23.5562 | + | 40.8006i | −1.08312 | + | 1.87601i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.50000 | − | 6.06218i | 0.160591 | − | 0.278152i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.01819 | − | 10.4238i | 0.275265 | − | 0.476774i | ||||
\(479\) | −24.9751 | −1.14114 | −0.570571 | − | 0.821249i | \(-0.693278\pi\) | ||||
−0.570571 | + | 0.821249i | \(0.693278\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.78074 | 0.0811947 | ||||||||
\(482\) | 32.1826 | + | 55.7419i | 1.46588 | + | 2.53897i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −19.0167 | + | 32.9379i | −0.864397 | + | 1.49718i | ||||
\(485\) | 14.8997 | − | 25.8070i | 0.676561 | − | 1.17184i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.79893 | + | 15.2402i | 0.398717 | + | 0.690599i | 0.993568 | − | 0.113238i | \(-0.0361221\pi\) |
−0.594851 | + | 0.803836i | \(0.702789\pi\) | |||||||
\(488\) | 5.74484 | + | 9.95036i | 0.260057 | + | 0.450432i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 6.89757 | + | 11.9469i | 0.311283 | + | 0.539158i | 0.978640 | − | 0.205580i | \(-0.0659080\pi\) |
−0.667358 | + | 0.744737i | \(0.732575\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.32743 | −0.104822 | ||||||||
\(494\) | 4.98755 | + | 8.63868i | 0.224400 | + | 0.388673i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 10.0718 | 0.452237 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 13.0875 | 0.585879 | 0.292939 | − | 0.956131i | \(-0.405367\pi\) | ||||
0.292939 | + | 0.956131i | \(0.405367\pi\) | |||||||
\(500\) | 17.2089 | − | 29.8068i | 0.769607 | − | 1.33300i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 22.7075 | + | 39.3305i | 1.01348 | + | 1.75541i | ||||
\(503\) | 22.3068 | 0.994611 | 0.497305 | − | 0.867576i | \(-0.334323\pi\) | ||||
0.497305 | + | 0.867576i | \(0.334323\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.54377 | 0.424692 | ||||||||
\(506\) | 1.51819 | + | 2.62958i | 0.0674917 | + | 0.116899i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.36333 | + | 2.36135i | −0.0604879 | + | 0.104768i | ||||
\(509\) | 15.8932 | 0.704453 | 0.352226 | − | 0.935915i | \(-0.385425\pi\) | ||||
0.352226 | + | 0.935915i | \(0.385425\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −41.4078 | −1.82998 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −14.4356 | − | 25.0032i | −0.636727 | − | 1.10284i | ||||
\(515\) | −25.2268 | −1.11163 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 27.4538 | + | 47.5514i | 1.20742 | + | 2.09131i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −6.55408 | − | 11.3520i | −0.287416 | − | 0.497818i | ||||
\(521\) | 2.20895 | + | 3.82600i | 0.0967756 | + | 0.167620i | 0.910348 | − | 0.413843i | \(-0.135814\pi\) |
−0.813573 | + | 0.581463i | \(0.802480\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.6367 | + | 21.8874i | −0.552563 | + | 0.957067i | 0.445526 | + | 0.895269i | \(0.353017\pi\) |
−0.998089 | + | 0.0617982i | \(0.980316\pi\) | |||||||
\(524\) | 16.0416 | − | 27.7849i | 0.700782 | − | 1.21379i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.25370 | − | 16.0279i | −0.403480 | − | 0.698848i | ||||
\(527\) | 2.20155 | 0.0959012 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.9253 | −0.996751 | ||||||||
\(530\) | −20.0167 | + | 34.6700i | −0.869471 | + | 1.50597i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −3.20321 | + | 5.54812i | −0.138746 | + | 0.240316i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.78220 | + | 3.08686i | −0.0770513 | + | 0.133457i | ||||
\(536\) | 39.9705 | − | 69.2310i | 1.72646 | − | 2.99032i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −23.1716 | + | 40.1344i | −0.998998 | + | 1.73032i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.71926 | − | 2.97785i | 0.0739168 | − | 0.128028i | −0.826698 | − | 0.562646i | \(-0.809783\pi\) |
0.900615 | + | 0.434618i | \(0.143117\pi\) | |||||||
\(542\) | −59.0085 | −2.53463 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.510317 | 0.0218797 | ||||||||
\(545\) | 4.40808 | + | 7.63501i | 0.188821 | + | 0.327048i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.46410 | − | 6.00000i | 0.148114 | − | 0.256542i | −0.782416 | − | 0.622756i | \(-0.786013\pi\) |
0.930531 | + | 0.366214i | \(0.119346\pi\) | |||||||
\(548\) | −7.44445 | + | 12.8942i | −0.318011 | + | 0.550812i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 9.58998 | + | 16.6103i | 0.408918 | + | 0.708267i | ||||
\(551\) | −4.98755 | − | 8.63868i | −0.212477 | − | 0.368020i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −8.81138 | − | 15.2618i | −0.374360 | − | 0.648410i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.32743 | −0.353162 | ||||||||
\(557\) | 16.7917 | + | 29.0841i | 0.711488 | + | 1.23233i | 0.964298 | + | 0.264818i | \(0.0853119\pi\) |
−0.252810 | + | 0.967516i | \(0.581355\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −10.4356 | −0.441379 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −36.6165 | −1.54457 | ||||||||
\(563\) | 21.2396 | − | 36.7880i | 0.895142 | − | 1.55043i | 0.0615128 | − | 0.998106i | \(-0.480407\pi\) |
0.833629 | − | 0.552325i | \(-0.186259\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 13.4720 | + | 23.3341i | 0.566770 | + | 0.981675i | ||||
\(566\) | 49.2029 | 2.06815 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −16.5438 | −0.694161 | ||||||||
\(569\) | 5.20175 | + | 9.00969i | 0.218069 | + | 0.377706i | 0.954217 | − | 0.299114i | \(-0.0966910\pi\) |
−0.736149 | + | 0.676820i | \(0.763358\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.92480 | + | 15.4582i | −0.373491 | + | 0.646906i | −0.990100 | − | 0.140364i | \(-0.955173\pi\) |
0.616609 | + | 0.787270i | \(0.288506\pi\) | |||||||
\(572\) | −18.3025 | −0.765267 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.471974 | 0.0196827 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.97150 | − | 10.3429i | −0.248597 | − | 0.430582i | 0.714540 | − | 0.699595i | \(-0.246636\pi\) |
−0.963137 | + | 0.269013i | \(0.913303\pi\) | |||||||
\(578\) | −39.6270 | −1.64827 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 12.9356 | + | 22.4051i | 0.537122 | + | 0.930322i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 14.1608 | + | 24.5272i | 0.586480 | + | 1.01581i | ||||
\(584\) | 3.80924 | + | 6.59780i | 0.157628 | + | 0.273019i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 18.5344 | − | 32.1026i | 0.765650 | − | 1.32615i | ||||
\(587\) | 11.9299 | − | 20.6631i | 0.492398 | − | 0.852859i | −0.507563 | − | 0.861614i | \(-0.669454\pi\) |
0.999962 | + | 0.00875568i | \(0.00278706\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.71780 | + | 8.17147i | 0.194394 | + | 0.336699i | ||||
\(590\) | 17.4002 | 0.716354 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 7.70602 | 0.316715 | ||||||||
\(593\) | 9.79007 | − | 16.9569i | 0.402030 | − | 0.696336i | −0.591941 | − | 0.805981i | \(-0.701638\pi\) |
0.993971 | + | 0.109645i | \(0.0349714\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −27.4538 | + | 47.5514i | −1.12455 | + | 1.94778i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.336285 | + | 0.582462i | −0.0137517 | + | 0.0238187i | ||||
\(599\) | 9.27335 | − | 16.0619i | 0.378899 | − | 0.656272i | −0.612004 | − | 0.790855i | \(-0.709636\pi\) |
0.990902 | + | 0.134583i | \(0.0429696\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9.09931 | − | 15.7605i | 0.371169 | − | 0.642883i | −0.618577 | − | 0.785724i | \(-0.712290\pi\) |
0.989746 | + | 0.142841i | \(0.0456238\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −20.1249 | + | 34.8573i | −0.818870 | + | 1.41832i | ||||
\(605\) | 24.3317 | 0.989224 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −22.3097 | −0.905524 | −0.452762 | − | 0.891631i | \(-0.649561\pi\) | ||||
−0.452762 | + | 0.891631i | \(0.649561\pi\) | |||||||
\(608\) | 1.09358 | + | 1.89413i | 0.0443505 | + | 0.0768173i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 7.25370 | − | 12.5638i | 0.293694 | − | 0.508692i | ||||
\(611\) | −6.08113 | + | 10.5328i | −0.246016 | + | 0.426112i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.11849 | − | 8.86548i | −0.206734 | − | 0.358073i | 0.743950 | − | 0.668235i | \(-0.232950\pi\) |
−0.950684 | + | 0.310162i | \(0.899617\pi\) | |||||||
\(614\) | 33.5495 | + | 58.1094i | 1.35395 | + | 2.34511i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −5.66372 | − | 9.80984i | −0.228013 | − | 0.394929i | 0.729206 | − | 0.684294i | \(-0.239889\pi\) |
−0.957219 | + | 0.289364i | \(0.906556\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.63327 | 0.347000 | 0.173500 | − | 0.984834i | \(-0.444492\pi\) | ||||
0.173500 | + | 0.984834i | \(0.444492\pi\) | |||||||
\(620\) | −12.2360 | − | 21.1934i | −0.491409 | − | 0.851145i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 39.3245 | 1.57677 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −30.6519 | −1.22608 | ||||||||
\(626\) | −14.2683 | + | 24.7134i | −0.570275 | + | 0.987746i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −12.2719 | − | 21.2555i | −0.489701 | − | 0.848188i | ||||
\(629\) | 1.68443 | 0.0671626 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.8535 | −0.591308 | −0.295654 | − | 0.955295i | \(-0.595538\pi\) | ||||
−0.295654 | + | 0.955295i | \(0.595538\pi\) | |||||||
\(632\) | −37.1701 | − | 64.3805i | −1.47855 | − | 2.56092i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.48229 | + | 4.29945i | −0.0985844 | + | 0.170753i | ||||
\(635\) | 1.74436 | 0.0692229 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 27.3317 | 1.08207 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 24.7793 | + | 42.9190i | 0.979487 | + | 1.69652i | ||||
\(641\) | 34.1593 | 1.34921 | 0.674606 | − | 0.738178i | \(-0.264313\pi\) | ||||
0.674606 | + | 0.738178i | \(0.264313\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.41741 | + | 9.38323i | 0.213642 | + | 0.370039i | 0.952852 | − | 0.303437i | \(-0.0981341\pi\) |
−0.739210 | + | 0.673475i | \(0.764801\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.71780 | + | 8.17147i | 0.185619 | + | 0.321502i | ||||
\(647\) | 16.4846 | + | 28.5522i | 0.648077 | + | 1.12250i | 0.983582 | + | 0.180464i | \(0.0577600\pi\) |
−0.335504 | + | 0.942039i | \(0.608907\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.15486 | − | 10.6605i | 0.241599 | − | 0.418462i | ||||
\(650\) | −2.12422 | + | 3.67926i | −0.0833188 | + | 0.144312i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −36.1160 | − | 62.5548i | −1.41441 | − | 2.44984i | ||||
\(653\) | 3.93113 | 0.153837 | 0.0769185 | − | 0.997037i | \(-0.475492\pi\) | ||||
0.0769185 | + | 0.997037i | \(0.475492\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −20.5251 | −0.801982 | ||||||||
\(656\) | −13.8617 | + | 24.0091i | −0.541207 | + | 0.937399i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 8.40856 | − | 14.5640i | 0.327551 | − | 0.567335i | −0.654474 | − | 0.756084i | \(-0.727110\pi\) |
0.982025 | + | 0.188749i | \(0.0604434\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.51080 | − | 14.7411i | 0.331032 | − | 0.573364i | −0.651683 | − | 0.758492i | \(-0.725937\pi\) |
0.982714 | + | 0.185128i | \(0.0592700\pi\) | |||||||
\(662\) | 24.2470 | − | 41.9970i | 0.942386 | − | 1.63226i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.39037 | + | 4.14024i | −0.0927643 | + | 0.160672i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.336285 | − | 0.582462i | 0.0130210 | − | 0.0225530i | ||||
\(668\) | 34.3288 | 1.32822 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −100.937 | −3.89954 | ||||||||
\(671\) | −5.13161 | − | 8.88821i | −0.198104 | − | 0.343126i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.3727 | + | 24.8942i | −0.554025 | + | 0.959600i | 0.443953 | + | 0.896050i | \(0.353576\pi\) |
−0.997979 | + | 0.0635501i | \(0.979758\pi\) | |||||||
\(674\) | 35.7403 | − | 61.9039i | 1.37666 | − | 2.38445i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 24.3245 | + | 42.1313i | 0.935558 | + | 1.62043i | ||||
\(677\) | −3.01819 | − | 5.22765i | −0.115998 | − | 0.200915i | 0.802180 | − | 0.597082i | \(-0.203673\pi\) |
−0.918178 | + | 0.396167i | \(0.870340\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −6.19961 | − | 10.7380i | −0.237744 | − | 0.411785i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −25.8535 | −0.989981 | ||||||||
\(683\) | 10.2556 | + | 17.7633i | 0.392421 | + | 0.679693i | 0.992768 | − | 0.120046i | \(-0.0383043\pi\) |
−0.600347 | + | 0.799739i | \(0.704971\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.52510 | 0.363935 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −45.1593 | −1.72168 | ||||||||
\(689\) | −3.13667 | + | 5.43288i | −0.119498 | + | 0.206976i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.50146 | + | 12.9929i | 0.285369 | + | 0.494274i | 0.972699 | − | 0.232072i | \(-0.0745505\pi\) |
−0.687330 | + | 0.726346i | \(0.741217\pi\) | |||||||
\(692\) | −70.3652 | −2.67488 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −71.5595 | −2.71636 | ||||||||
\(695\) | 2.66372 | + | 4.61369i | 0.101040 | + | 0.175007i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.02997 | + | 5.24806i | −0.114768 | + | 0.198784i | ||||
\(698\) | 60.9296 | 2.30622 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −38.5113 | −1.45455 | −0.727275 | − | 0.686346i | \(-0.759214\pi\) | ||||
−0.727275 | + | 0.686346i | \(0.759214\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.60963 | + | 6.25206i | 0.136140 | + | 0.235801i | ||||
\(704\) | 33.0803 | 1.24676 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −40.9705 | − | 70.9630i | −1.54195 | − | 2.67073i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.82004 | − | 6.61650i | −0.143465 | − | 0.248488i | 0.785334 | − | 0.619072i | \(-0.212491\pi\) |
−0.928799 | + | 0.370584i | \(0.879158\pi\) | |||||||
\(710\) | 10.4445 | + | 18.0903i | 0.391973 | + | 0.678918i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −36.2798 | + | 62.8384i | −1.35964 | + | 2.35497i | ||||
\(713\) | −0.318097 | + | 0.550960i | −0.0119128 | + | 0.0206336i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.85447 | + | 10.1402i | 0.218945 | + | 0.379224i | ||||
\(716\) | 46.0115 | 1.71953 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −62.8329 | −2.34490 | ||||||||
\(719\) | −15.0182 | + | 26.0123i | −0.560084 | + | 0.970094i | 0.437405 | + | 0.899265i | \(0.355898\pi\) |
−0.997488 | + | 0.0708289i | \(0.977436\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 3.15486 | − | 5.46438i | 0.117412 | − | 0.203363i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −44.3697 | + | 76.8506i | −1.64899 | + | 2.85613i | ||||
\(725\) | 2.12422 | − | 3.67926i | 0.0788916 | − | 0.136644i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.72812 | + | 2.99319i | −0.0640923 | + | 0.111011i | −0.896291 | − | 0.443466i | \(-0.853749\pi\) |
0.832199 | + | 0.554478i | \(0.187082\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 4.80972 | − | 8.33068i | 0.178016 | − | 0.308332i | ||||
\(731\) | −9.87120 | −0.365099 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 38.5261 | 1.42299 | 0.711496 | − | 0.702690i | \(-0.248018\pi\) | ||||
0.711496 | + | 0.702690i | \(0.248018\pi\) | |||||||
\(734\) | −33.7709 | − | 58.4929i | −1.24651 | − | 2.15901i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.0737345 | + | 0.127712i | −0.00271789 | + | 0.00470752i | ||||
\(737\) | −35.7039 | + | 61.8409i | −1.31517 | + | 2.27794i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −22.5620 | − | 39.0785i | −0.829955 | − | 1.43752i | −0.898073 | − | 0.439847i | \(-0.855033\pi\) |
0.0681179 | − | 0.997677i | \(-0.478301\pi\) | |||||||
\(740\) | −9.36186 | − | 16.2152i | −0.344149 | − | 0.596084i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 4.74338 | + | 8.21577i | 0.174018 | + | 0.301407i | 0.939821 | − | 0.341668i | \(-0.110992\pi\) |
−0.765803 | + | 0.643075i | \(0.777658\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 35.1268 | 1.28695 | ||||||||
\(746\) | −20.0869 | − | 34.7915i | −0.735432 | − | 1.27381i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −17.3126 | −0.633013 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.83190 | −0.358771 | −0.179386 | − | 0.983779i | \(-0.557411\pi\) | ||||
−0.179386 | + | 0.983779i | \(0.557411\pi\) | |||||||
\(752\) | −26.3157 | + | 45.5800i | −0.959633 | + | 1.66213i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3.02704 | + | 5.24299i | 0.110238 | + | 0.190938i | ||||
\(755\) | 25.7496 | 0.937124 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −41.8171 | −1.51987 | −0.759934 | − | 0.650000i | \(-0.774769\pi\) | ||||
−0.759934 | + | 0.650000i | \(0.774769\pi\) | |||||||
\(758\) | −14.8078 | − | 25.6478i | −0.537843 | − | 0.931571i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 26.5708 | − | 46.0220i | 0.963825 | − | 1.66939i | ||||
\(761\) | −22.9794 | −0.833001 | −0.416501 | − | 0.909135i | \(-0.636744\pi\) | ||||
−0.416501 | + | 0.909135i | \(0.636744\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 2.84494 | 0.102926 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −15.2989 | − | 26.4985i | −0.552773 | − | 0.957430i | ||||
\(767\) | 2.72665 | 0.0984538 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.04329 | − | 5.27113i | −0.109744 | − | 0.190082i | 0.805923 | − | 0.592021i | \(-0.201670\pi\) |
−0.915666 | + | 0.401939i | \(0.868336\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −24.6175 | − | 42.6388i | −0.886003 | − | 1.53460i | ||||
\(773\) | −20.9107 | − | 36.2184i | −0.752105 | − | 1.30268i | −0.946801 | − | 0.321821i | \(-0.895705\pi\) |
0.194695 | − | 0.980864i | \(-0.437628\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.00933 | + | 3.48027i | −0.0721774 | + | 0.125015i | ||||
\(776\) | 29.0349 | − | 50.2899i | 1.04229 | − | 1.80530i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 25.3442 | + | 43.8974i | 0.908632 | + | 1.57380i | ||||
\(779\) | −25.9722 | −0.930550 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 14.7778 | 0.528792 | ||||||||
\(782\) | −0.318097 | + | 0.550960i | −0.0113751 | + | 0.0197023i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −7.85087 | + | 13.5981i | −0.280210 | + | 0.485337i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −16.1460 | + | 27.9657i | −0.575543 | + | 0.996870i | 0.420439 | + | 0.907321i | \(0.361876\pi\) |
−0.995982 | + | 0.0895491i | \(0.971457\pi\) | |||||||
\(788\) | −33.2652 | + | 57.6170i | −1.18502 | + | 2.05252i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −46.9327 | + | 81.2898i | −1.66979 | + | 2.89216i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.13667 | − | 1.96878i | 0.0403644 | − | 0.0699133i | ||||
\(794\) | −58.1593 | −2.06400 |