Newspace parameters
Level: | \( N \) | \(=\) | \( 1620 = 2^{2} \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 1620.t (of order \(6\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(44.1418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.154550410641.1 |
Defining polynomial: |
\( x^{8} - 15x^{6} + 221x^{4} - 60x^{2} + 16 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | no (minimal twist has level 540) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.2 | ||
Root | \(-3.32360 - 1.91888i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1620.269 |
Dual form | 1620.3.t.d.1349.2 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1620\mathbb{Z}\right)^\times\).
\(n\) | \(811\) | \(1297\) | \(1541\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.0689865 | + | 4.99952i | 0.0137973 | + | 0.999905i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.42096 | − | 1.39774i | −0.345852 | − | 0.199678i | 0.317005 | − | 0.948424i | \(-0.397323\pi\) |
−0.662857 | + | 0.748746i | \(0.730656\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −15.7154 | − | 9.07327i | −1.42867 | − | 0.824843i | −0.431653 | − | 0.902040i | \(-0.642070\pi\) |
−0.997016 | + | 0.0771971i | \(0.975403\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −19.9416 | + | 11.5133i | −1.53397 | + | 0.885637i | −0.534796 | + | 0.844981i | \(0.679611\pi\) |
−0.999173 | + | 0.0406560i | \(0.987055\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 5.72842 | 0.336966 | 0.168483 | − | 0.985705i | \(-0.446113\pi\) | ||||
0.168483 | + | 0.985705i | \(0.446113\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 23.1852 | 1.22028 | 0.610138 | − | 0.792295i | \(-0.291114\pi\) | ||||
0.610138 | + | 0.792295i | \(0.291114\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.135792 | − | 0.235199i | −0.00590400 | − | 0.0102260i | 0.863058 | − | 0.505104i | \(-0.168546\pi\) |
−0.868962 | + | 0.494878i | \(0.835213\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −24.9905 | + | 0.689799i | −0.999619 | + | 0.0275920i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 34.4674 | + | 19.8997i | 1.18853 | + | 0.686198i | 0.957972 | − | 0.286860i | \(-0.0926116\pi\) |
0.230558 | + | 0.973059i | \(0.425945\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −23.6852 | − | 41.0241i | −0.764040 | − | 1.32336i | −0.940752 | − | 0.339094i | \(-0.889880\pi\) |
0.176712 | − | 0.984263i | \(-0.443454\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 6.82104 | − | 12.2001i | 0.194887 | − | 0.348574i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 34.8712i | − | 0.942465i | −0.882009 | − | 0.471232i | \(-0.843809\pi\) | ||
0.882009 | − | 0.471232i | \(-0.156191\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −11.4891 | + | 6.63325i | −0.280223 | + | 0.161787i | −0.633524 | − | 0.773723i | \(-0.718392\pi\) |
0.353302 | + | 0.935509i | \(0.385059\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 40.4571 | + | 23.3579i | 0.940862 | + | 0.543207i | 0.890231 | − | 0.455510i | \(-0.150543\pi\) |
0.0506318 | + | 0.998717i | \(0.483877\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 20.4568 | − | 35.4323i | 0.435252 | − | 0.753878i | −0.562064 | − | 0.827093i | \(-0.689993\pi\) |
0.997316 | + | 0.0732153i | \(0.0233260\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −20.5926 | − | 35.6675i | −0.420258 | − | 0.727908i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 91.3705 | 1.72397 | 0.861986 | − | 0.506932i | \(-0.169221\pi\) | ||||
0.861986 | + | 0.506932i | \(0.169221\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 44.2779 | − | 79.1953i | 0.805052 | − | 1.43991i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 68.2773 | − | 39.4199i | 1.15724 | − | 0.668134i | 0.206600 | − | 0.978425i | \(-0.433760\pi\) |
0.950641 | + | 0.310292i | \(0.100427\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −15.5926 | + | 27.0072i | −0.255617 | + | 0.442741i | −0.965063 | − | 0.262018i | \(-0.915612\pi\) |
0.709446 | + | 0.704760i | \(0.248945\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −58.9366 | − | 98.9042i | −0.906718 | − | 1.52160i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.98970 | + | 3.45816i | −0.0893986 | + | 0.0516143i | −0.544033 | − | 0.839064i | \(-0.683103\pi\) |
0.454634 | + | 0.890678i | \(0.349770\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 81.5870i | − | 1.14911i | −0.818465 | − | 0.574556i | \(-0.805175\pi\) | ||
0.818465 | − | 0.574556i | \(-0.194825\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 106.084i | 1.45320i | 0.687060 | + | 0.726601i | \(0.258901\pi\) | ||||
−0.687060 | + | 0.726601i | \(0.741099\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 25.3642 | + | 43.9321i | 0.329405 | + | 0.570547i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −31.7779 | + | 55.0409i | −0.402252 | + | 0.696720i | −0.993997 | − | 0.109405i | \(-0.965106\pi\) |
0.591746 | + | 0.806125i | \(0.298439\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.142081 | − | 0.246091i | 0.00171182 | − | 0.00296495i | −0.865168 | − | 0.501482i | \(-0.832788\pi\) |
0.866880 | + | 0.498517i | \(0.166122\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.395183 | + | 28.6394i | 0.00464921 | + | 0.336934i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 28.5210i | − | 0.320461i | −0.987080 | − | 0.160230i | \(-0.948776\pi\) | ||
0.987080 | − | 0.160230i | \(-0.0512237\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 64.3705 | 0.707368 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.59947 | + | 115.915i | 0.0168365 | + | 1.22016i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 80.4657 | + | 46.4569i | 0.829543 | + | 0.478937i | 0.853696 | − | 0.520771i | \(-0.174356\pi\) |
−0.0241531 | + | 0.999708i | \(0.507689\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −40.4153 | − | 23.3338i | −0.400151 | − | 0.231027i | 0.286398 | − | 0.958111i | \(-0.407542\pi\) |
−0.686549 | + | 0.727083i | \(0.740875\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.68385 | − | 5.59098i | 0.0940180 | − | 0.0542813i | −0.452254 | − | 0.891889i | \(-0.649380\pi\) |
0.546272 | + | 0.837608i | \(0.316047\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 147.297 | 1.37661 | 0.688303 | − | 0.725424i | \(-0.258356\pi\) | ||||
0.688303 | + | 0.725424i | \(0.258356\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −121.556 | −1.11519 | −0.557595 | − | 0.830113i | \(-0.688276\pi\) | ||||
−0.557595 | + | 0.830113i | \(0.688276\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −48.8148 | − | 84.5496i | −0.431989 | − | 0.748227i | 0.565056 | − | 0.825053i | \(-0.308855\pi\) |
−0.997045 | + | 0.0768260i | \(0.975521\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.16651 | − | 0.695121i | 0.0101436 | − | 0.00604453i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −13.8683 | − | 8.00686i | −0.116540 | − | 0.0672845i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 104.148 | + | 180.390i | 0.860730 | + | 1.49083i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.17267 | − | 124.893i | −0.0413814 | − | 0.999143i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 88.6481i | 0.698017i | 0.937120 | + | 0.349008i | \(0.113482\pi\) | ||||
−0.937120 | + | 0.349008i | \(0.886518\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 77.9193 | − | 44.9867i | 0.594804 | − | 0.343410i | −0.172191 | − | 0.985064i | \(-0.555085\pi\) |
0.766995 | + | 0.641653i | \(0.221751\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −56.1306 | − | 32.4070i | −0.422035 | − | 0.243662i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 114.963 | − | 199.122i | 0.839147 | − | 1.45345i | −0.0514620 | − | 0.998675i | \(-0.516388\pi\) |
0.890609 | − | 0.454770i | \(-0.150279\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −28.8148 | − | 49.9086i | −0.207300 | − | 0.359055i | 0.743563 | − | 0.668666i | \(-0.233134\pi\) |
−0.950863 | + | 0.309611i | \(0.899801\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 417.852 | 2.92205 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −97.1115 | + | 173.693i | −0.669734 | + | 1.19788i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −9.64205 | + | 5.56684i | −0.0647117 | + | 0.0373613i | −0.532007 | − | 0.846740i | \(-0.678562\pi\) |
0.467295 | + | 0.884101i | \(0.345229\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.0926 | − | 19.2130i | 0.0734611 | − | 0.127238i | −0.826955 | − | 0.562268i | \(-0.809929\pi\) |
0.900416 | + | 0.435030i | \(0.143262\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 203.467 | − | 121.245i | 1.31269 | − | 0.782226i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 195.148 | − | 112.669i | 1.24298 | − | 0.717635i | 0.273281 | − | 0.961934i | \(-0.411891\pi\) |
0.969700 | + | 0.244299i | \(0.0785579\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.759209i | 0.00471559i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 302.948i | − | 1.85858i | −0.369352 | − | 0.929290i | \(-0.620420\pi\) | ||
0.369352 | − | 0.929290i | \(-0.379580\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 119.334 | + | 206.692i | 0.714573 | + | 1.23768i | 0.963124 | + | 0.269057i | \(0.0867121\pi\) |
−0.248552 | + | 0.968619i | \(0.579955\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 180.611 | − | 312.828i | 1.06871 | − | 1.85105i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −54.4011 | + | 94.2254i | −0.314457 | + | 0.544656i | −0.979322 | − | 0.202308i | \(-0.935156\pi\) |
0.664865 | + | 0.746964i | \(0.268489\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 61.4652 | + | 33.2603i | 0.351230 | + | 0.190059i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | − | 168.054i | − | 0.938849i | −0.882973 | − | 0.469425i | \(-0.844461\pi\) | ||
0.882973 | − | 0.469425i | \(-0.155539\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −154.297 | −0.852468 | −0.426234 | − | 0.904613i | \(-0.640160\pi\) | ||||
−0.426234 | + | 0.904613i | \(0.640160\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 174.339 | − | 2.40564i | 0.942375 | − | 0.0130035i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −90.0241 | − | 51.9755i | −0.481412 | − | 0.277944i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −134.175 | − | 77.4662i | −0.702489 | − | 0.405582i | 0.105785 | − | 0.994389i | \(-0.466264\pi\) |
−0.808274 | + | 0.588807i | \(0.799598\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 55.4313 | − | 32.0033i | 0.287209 | − | 0.165820i | −0.349473 | − | 0.936946i | \(-0.613640\pi\) |
0.636683 | + | 0.771126i | \(0.280306\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 9.56832 | 0.0485702 | 0.0242851 | − | 0.999705i | \(-0.492269\pi\) | ||||
0.0242851 | + | 0.999705i | \(0.492269\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −117.815 | −0.592034 | −0.296017 | − | 0.955183i | \(-0.595658\pi\) | ||||
−0.296017 | + | 0.955183i | \(0.595658\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −55.6295 | − | 96.3531i | −0.274037 | − | 0.474646i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −33.9557 | − | 56.9826i | −0.165637 | − | 0.277964i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −364.365 | − | 210.366i | −1.74337 | − | 1.00654i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 24.4074 | + | 42.2748i | 0.115675 | + | 0.200355i | 0.918049 | − | 0.396466i | \(-0.129764\pi\) |
−0.802375 | + | 0.596821i | \(0.796430\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −113.987 | + | 203.878i | −0.530174 | + | 0.948268i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 132.424i | 0.610247i | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −114.234 | + | 65.9529i | −0.516895 | + | 0.298429i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −276.887 | − | 159.861i | −1.24164 | − | 0.716864i | −0.272216 | − | 0.962236i | \(-0.587756\pi\) |
−0.969429 | + | 0.245372i | \(0.921090\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 9.13579 | − | 15.8237i | 0.0402458 | − | 0.0697077i | −0.845201 | − | 0.534449i | \(-0.820519\pi\) |
0.885447 | + | 0.464741i | \(0.153853\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −67.0369 | − | 116.111i | −0.292737 | − | 0.507036i | 0.681719 | − | 0.731615i | \(-0.261233\pi\) |
−0.974456 | + | 0.224578i | \(0.927900\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 284.173 | 1.21963 | 0.609813 | − | 0.792546i | \(-0.291245\pi\) | ||||
0.609813 | + | 0.792546i | \(0.291245\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 178.556 | + | 99.8301i | 0.759812 | + | 0.424809i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −179.068 | + | 103.385i | −0.749237 | + | 0.432572i | −0.825418 | − | 0.564522i | \(-0.809061\pi\) |
0.0761810 | + | 0.997094i | \(0.475727\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 81.3336 | − | 140.874i | 0.337484 | − | 0.584539i | −0.646475 | − | 0.762935i | \(-0.723757\pi\) |
0.983959 | + | 0.178396i | \(0.0570908\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 176.900 | − | 105.414i | 0.722040 | − | 0.430261i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −462.351 | + | 266.938i | −1.87187 | + | 1.08072i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 347.387i | − | 1.38401i | −0.721893 | − | 0.692005i | \(-0.756728\pi\) | ||
0.721893 | − | 0.692005i | \(-0.243272\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.92831i | 0.0194795i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −10.5189 | − | 18.2192i | −0.0409294 | − | 0.0708919i | 0.844835 | − | 0.535027i | \(-0.179699\pi\) |
−0.885764 | + | 0.464135i | \(0.846365\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −48.7410 | + | 84.4219i | −0.188189 | + | 0.325953i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −107.728 | + | 186.591i | −0.409614 | + | 0.709472i | −0.994846 | − | 0.101394i | \(-0.967670\pi\) |
0.585233 | + | 0.810865i | \(0.301003\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.30333 | + | 456.809i | 0.0237861 | + | 1.72381i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − | 180.237i | − | 0.670024i | −0.942214 | − | 0.335012i | \(-0.891260\pi\) | ||
0.942214 | − | 0.335012i | \(-0.108740\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 231.741 | 0.855133 | 0.427566 | − | 0.903984i | \(-0.359371\pi\) | ||||
0.427566 | + | 0.903984i | \(0.359371\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 398.993 | + | 215.905i | 1.45088 | + | 0.785109i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −91.4227 | − | 52.7829i | −0.330046 | − | 0.190552i | 0.325816 | − | 0.945433i | \(-0.394361\pi\) |
−0.655862 | + | 0.754881i | \(0.727694\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 436.993 | + | 252.298i | 1.55514 | + | 0.897859i | 0.997710 | + | 0.0676323i | \(0.0215445\pi\) |
0.557426 | + | 0.830226i | \(0.311789\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 131.306 | − | 75.8095i | 0.463978 | − | 0.267878i | −0.249737 | − | 0.968314i | \(-0.580344\pi\) |
0.713716 | + | 0.700436i | \(0.247011\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 37.0863 | 0.129221 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −256.185 | −0.886454 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −274.519 | − | 475.481i | −0.936924 | − | 1.62280i | −0.771166 | − | 0.636634i | \(-0.780326\pi\) |
−0.165759 | − | 0.986166i | \(-0.553007\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 201.791 | + | 338.634i | 0.684037 | + | 1.14791i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 5.41582 | + | 3.12682i | 0.0181131 | + | 0.0104576i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −65.2967 | − | 113.097i | −0.216933 | − | 0.375738i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −136.099 | − | 76.0926i | −0.446226 | − | 0.249484i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 146.401i | − | 0.476876i | −0.971158 | − | 0.238438i | \(-0.923365\pi\) | ||
0.971158 | − | 0.238438i | \(-0.0766355\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 422.468 | − | 243.912i | 1.35842 | − | 0.784282i | 0.369006 | − | 0.929427i | \(-0.379698\pi\) |
0.989410 | + | 0.145144i | \(0.0463647\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 94.9915 | + | 54.8433i | 0.303487 | + | 0.175218i | 0.644008 | − | 0.765018i | \(-0.277270\pi\) |
−0.340521 | + | 0.940237i | \(0.610604\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 181.784 | − | 314.859i | 0.573452 | − | 0.993247i | −0.422756 | − | 0.906243i | \(-0.638937\pi\) |
0.996208 | − | 0.0870039i | \(-0.0277293\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −361.111 | − | 625.463i | −1.13201 | − | 1.96070i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 132.815 | 0.411191 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 490.408 | − | 301.478i | 1.50895 | − | 0.927625i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −99.0505 | + | 57.1868i | −0.301065 | + | 0.173820i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −150.111 | + | 260.001i | −0.453509 | + | 0.785501i | −0.998601 | − | 0.0528755i | \(-0.983161\pi\) |
0.545092 | + | 0.838376i | \(0.316495\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −17.7023 | − | 29.7071i | −0.0528428 | − | 0.0886779i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 323.334 | − | 186.677i | 0.959447 | − | 0.553937i | 0.0634441 | − | 0.997985i | \(-0.479792\pi\) |
0.896003 | + | 0.444049i | \(0.146458\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 859.610i | 2.52085i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 252.112i | 0.735020i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −8.72213 | − | 15.1072i | −0.0251358 | − | 0.0435365i | 0.853184 | − | 0.521610i | \(-0.174668\pi\) |
−0.878320 | + | 0.478074i | \(0.841335\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −117.075 | + | 202.779i | −0.335457 | + | 0.581029i | −0.983573 | − | 0.180513i | \(-0.942224\pi\) |
0.648115 | + | 0.761542i | \(0.275558\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −190.642 | + | 330.202i | −0.540063 | + | 0.935416i | 0.458837 | + | 0.888520i | \(0.348266\pi\) |
−0.998900 | + | 0.0468954i | \(0.985067\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 407.896 | − | 5.62840i | 1.14900 | − | 0.0158546i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 222.024i | 0.618451i | 0.950989 | + | 0.309226i | \(0.100070\pi\) | ||||
−0.950989 | + | 0.309226i | \(0.899930\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 176.556 | 0.489074 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −530.368 | + | 7.31834i | −1.45306 | + | 0.0200502i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 389.023 | + | 224.602i | 1.06001 | + | 0.611995i | 0.925434 | − | 0.378908i | \(-0.123700\pi\) |
0.134573 | + | 0.990904i | \(0.457034\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −221.205 | − | 127.713i | −0.596239 | − | 0.344239i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −278.932 | + | 161.041i | −0.747806 | + | 0.431746i | −0.824901 | − | 0.565278i | \(-0.808769\pi\) |
0.0770948 | + | 0.997024i | \(0.475436\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −916.446 | −2.43089 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −216.074 | −0.570115 | −0.285058 | − | 0.958510i | \(-0.592013\pi\) | ||||
−0.285058 | + | 0.958510i | \(0.592013\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 186.988 | + | 323.873i | 0.488220 | + | 0.845622i | 0.999908 | − | 0.0135493i | \(-0.00431302\pi\) |
−0.511688 | + | 0.859171i | \(0.670980\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −217.890 | + | 129.840i | −0.565948 | + | 0.337246i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 193.217 | + | 111.554i | 0.496702 | + | 0.286771i | 0.727351 | − | 0.686266i | \(-0.240751\pi\) |
−0.230648 | + | 0.973037i | \(0.574085\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.777873 | − | 1.34731i | −0.00198944 | − | 0.00344582i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −277.370 | − | 155.077i | −0.702204 | − | 0.392600i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 610.535i | − | 1.53787i | −0.639325 | − | 0.768936i | \(-0.720786\pi\) | ||
0.639325 | − | 0.768936i | \(-0.279214\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −356.319 | + | 205.721i | −0.888575 | + | 0.513019i | −0.873476 | − | 0.486867i | \(-0.838140\pi\) |
−0.0150992 | + | 0.999886i | \(0.504806\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 944.643 | + | 545.390i | 2.34403 | + | 1.35333i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −316.396 | + | 548.013i | −0.777385 | + | 1.34647i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −295.315 | − | 511.500i | −0.722041 | − | 1.25061i | −0.960180 | − | 0.279381i | \(-0.909871\pi\) |
0.238139 | − | 0.971231i | \(-0.423462\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −220.396 | −0.533646 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.24014 | + | 0.693359i | 0.00298829 | + | 0.00167074i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 207.462 | − | 119.778i | 0.495135 | − | 0.285867i | −0.231567 | − | 0.972819i | \(-0.574385\pi\) |
0.726702 | + | 0.686952i | \(0.241052\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −296.704 | + | 513.907i | −0.704760 | + | 1.22068i | 0.262018 | + | 0.965063i | \(0.415612\pi\) |
−0.966778 | + | 0.255618i | \(0.917721\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −143.156 | + | 3.95146i | −0.336837 | + | 0.00929754i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 75.4983 | − | 43.5890i | 0.176811 | − | 0.102082i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 436.566i | − | 1.01291i | −0.862265 | − | 0.506457i | \(-0.830955\pi\) | ||
0.862265 | − | 0.506457i | \(-0.169045\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 231.736i | 0.535187i | 0.963532 | + | 0.267593i | \(0.0862284\pi\) | ||||
−0.963532 | + | 0.267593i | \(0.913772\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −3.14837 | − | 5.45314i | −0.00720451 | − | 0.0124786i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 209.611 | − | 363.058i | 0.477475 | − | 0.827011i | −0.522192 | − | 0.852828i | \(-0.674885\pi\) |
0.999667 | + | 0.0258173i | \(0.00821881\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −223.260 | + | 386.697i | −0.503973 | + | 0.872906i | 0.496017 | + | 0.868313i | \(0.334795\pi\) |
−0.999989 | + | 0.00459325i | \(0.998538\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 142.591 | − | 1.96756i | 0.320430 | − | 0.00442149i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 495.776i | 1.10418i | 0.833785 | + | 0.552089i | \(0.186169\pi\) | ||||
−0.833785 | + | 0.552089i | \(0.813831\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 240.741 | 0.533794 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 4.44069 | + | 321.822i | 0.00975976 | + | 0.707301i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −591.810 | − | 341.681i | −1.29499 | − | 0.747662i | −0.315454 | − | 0.948941i | \(-0.602157\pi\) |
−0.979534 | + | 0.201279i | \(0.935490\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −346.521 | − | 200.064i | −0.751672 | − | 0.433978i | 0.0746257 | − | 0.997212i | \(-0.476224\pi\) |
−0.826298 | + | 0.563234i | \(0.809557\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −273.892 | + | 158.132i | −0.591559 | + | 0.341537i | −0.765714 | − | 0.643181i | \(-0.777614\pi\) |
0.174155 | + | 0.984718i | \(0.444281\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 419.741 | 0.898803 | 0.449401 | − | 0.893330i | \(-0.351637\pi\) | ||||
0.449401 | + | 0.893330i | \(0.351637\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 19.3345 | 0.0412249 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −423.865 | − | 734.156i | −0.896121 | − | 1.55213i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −579.411 | + | 15.9932i | −1.21981 | + | 0.0336698i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 731.766 | + | 422.485i | 1.52769 | + | 0.882015i | 0.999458 | + | 0.0329177i | \(0.0104799\pi\) |
0.528237 | + | 0.849097i | \(0.322853\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 401.482 | + | 695.387i | 0.834682 | + | 1.44571i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −226.711 | + | 405.495i | −0.467446 | + | 0.836072i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 546.384i | 1.12194i | 0.827837 | + | 0.560969i | \(0.189571\pi\) | ||||
−0.827837 | + | 0.560969i | \(0.810429\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −560.713 | + | 323.728i | −1.14198 | + | 0.659324i | −0.946921 | − | 0.321467i | \(-0.895824\pi\) |
−0.195062 | + | 0.980791i | \(0.562491\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 197.443 | + | 113.994i | 0.400494 | + | 0.231225i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −114.038 | + | 197.519i | −0.229452 | + | 0.397423i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −291.407 | − | 504.732i | −0.583983 | − | 1.01149i | −0.995001 | − | 0.0998608i | \(-0.968160\pi\) |
0.411019 | − | 0.911627i | \(-0.365173\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −752.520 | −1.49606 | −0.748032 | − | 0.663663i | \(-0.769001\pi\) | ||||
−0.748032 | + | 0.663663i | \(0.769001\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 113.870 | − | 203.667i | 0.225484 | − | 0.403301i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 252.479 | − | 145.769i | 0.496030 | − | 0.286383i | −0.231042 | − | 0.972944i | \(-0.574214\pi\) |
0.727073 | + | 0.686560i | \(0.240880\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 148.278 | − | 256.825i | 0.290172 | − | 0.502593i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 28.6203 | + | 48.0290i | 0.0555733 | + | 0.0932601i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −642.973 | + | 371.221i | −1.24366 | + | 0.718028i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 137.690i | − | 0.264280i | −0.991231 | − | 0.132140i | \(-0.957815\pi\) | ||
0.991231 | − | 0.132140i | \(-0.0421848\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 330.987i | 0.632862i | 0.948616 | + | 0.316431i | \(0.102485\pi\) | ||||
−0.948616 | + | 0.316431i | \(0.897515\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −135.679 | − | 235.003i | −0.257455 | − | 0.445926i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 264.463 | − | 458.064i | 0.499930 | − | 0.865905i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 152.741 | − | 264.555i | 0.286568 | − | 0.496351i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 10.1615 | + | 736.414i | 0.0189934 | + | 1.37647i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 747.370i | 1.38659i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 556.593 | 1.02882 | 0.514412 | − | 0.857543i | \(-0.328010\pi\) | ||||
0.514412 | + | 0.857543i | \(0.328010\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −8.38570 | − | 607.721i | −0.0153866 | − | 1.11508i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −402.849 | − | 232.585i | −0.736470 | − | 0.425201i | 0.0843144 | − | 0.996439i | \(-0.473130\pi\) |
−0.820784 | + | 0.571238i | \(0.806463\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 799.135 | + | 461.381i | 1.45034 | + | 0.837351i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 153.866 | − | 88.8347i | 0.278239 | − | 0.160641i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −1059.37 | −1.90192 | −0.950962 | − | 0.309306i | \(-0.899903\pi\) | ||||
−0.950962 | + | 0.309306i | \(0.899903\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1075.70 | −1.92434 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 193.080 | + | 334.424i | 0.342949 | + | 0.594004i | 0.984979 | − | 0.172675i | \(-0.0552410\pi\) |
−0.642030 | + | 0.766679i | \(0.721908\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 419.340 | − | 249.883i | 0.742195 | − | 0.442271i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 594.147 | + | 343.031i | 1.04420 | + | 0.602866i | 0.921019 | − | 0.389518i | \(-0.127359\pi\) |
0.123176 | + | 0.992385i | \(0.460692\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 410.816 | + | 711.554i | 0.719467 | + | 1.24615i | 0.961211 | + | 0.275813i | \(0.0889471\pi\) |
−0.241744 | + | 0.970340i | \(0.577720\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 3.55575 | + | 5.78406i | 0.00618390 | + | 0.0100592i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 183.840i | − | 0.318613i | −0.987229 | − | 0.159306i | \(-0.949074\pi\) | ||
0.987229 | − | 0.159306i | \(-0.0509258\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.687945 | + | 0.397185i | −0.00118407 | + | 0.000683623i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1435.92 | − | 829.029i | −2.46299 | − | 1.42201i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −160.203 | + | 277.480i | −0.272919 | + | 0.472709i | −0.969608 | − | 0.244664i | \(-0.921322\pi\) |
0.696689 | + | 0.717373i | \(0.254656\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −549.148 | − | 951.153i | −0.932340 | − | 1.61486i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1061.34 | −1.78977 | −0.894887 | − | 0.446292i | \(-0.852744\pi\) | ||||
−0.894887 | + | 0.446292i | \(0.852744\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 39.0738 | − | 69.8872i | 0.0656702 | − | 0.117457i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 846.155 | − | 488.528i | 1.41261 | − | 0.815573i | 0.416979 | − | 0.908916i | \(-0.363089\pi\) |
0.995634 | + | 0.0933433i | \(0.0297554\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 130.908 | − | 226.740i | 0.217817 | − | 0.377271i | −0.736323 | − | 0.676630i | \(-0.763440\pi\) |
0.954140 | + | 0.299359i | \(0.0967730\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −894.681 | + | 533.137i | −1.47881 | + | 0.881218i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 579.203 | − | 334.403i | 0.954206 | − | 0.550911i | 0.0598212 | − | 0.998209i | \(-0.480947\pi\) |
0.894385 | + | 0.447298i | \(0.147614\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 942.101i | 1.54190i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 220.119i | − | 0.359086i | −0.983750 | − | 0.179543i | \(-0.942538\pi\) | ||
0.983750 | − | 0.179543i | \(-0.0574618\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −160.531 | − | 278.049i | −0.260181 | − | 0.450646i | 0.706109 | − | 0.708103i | \(-0.250449\pi\) |
−0.966290 | + | 0.257457i | \(0.917115\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 445.593 | − | 771.791i | 0.719860 | − | 1.24683i | −0.241195 | − | 0.970477i | \(-0.577539\pi\) |
0.961055 | − | 0.276358i | \(-0.0891275\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −39.8651 | + | 69.0483i | −0.0639889 | + | 0.110832i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 624.048 | − | 34.4768i | 0.998477 | − | 0.0551629i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 199.757i | − | 0.317578i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −583.669 | −0.924990 | −0.462495 | − | 0.886622i | \(-0.653046\pi\) | ||||
−0.462495 | + | 0.886622i | \(0.653046\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −443.198 | + | 6.11552i | −0.697950 | + | 0.00963074i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 821.300 | + | 474.178i | 1.28932 | + | 0.744392i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −603.006 | − | 348.146i | −0.940727 | − | 0.543129i | −0.0505391 | − | 0.998722i | \(-0.516094\pi\) |
−0.890188 | + | 0.455593i | \(0.849427\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 694.262 | − | 400.832i | 1.07972 | − | 0.623378i | 0.148901 | − | 0.988852i | \(-0.452426\pi\) |
0.930822 | + | 0.365474i | \(0.119093\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 216.221 | 0.334191 | 0.167095 | − | 0.985941i | \(-0.446561\pi\) | ||||
0.167095 | + | 0.985941i | \(0.446561\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1430.67 | −2.20442 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 219.401 | + | 380.014i | 0.335989 | + | 0.581951i | 0.983674 | − | 0.179958i | \(-0.0575960\pi\) |
−0.647685 | + | 0.761908i | \(0.724263\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 230.288 | + | 386.456i | 0.351584 | + | 0.590009i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −317.063 | − | 183.056i | −0.481127 | − | 0.277779i | 0.239759 | − | 0.970832i | \(-0.422932\pi\) |
−0.720886 | + | 0.693054i | \(0.756265\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −79.0377 | − | 136.897i | −0.119573 | − | 0.207106i | 0.800026 | − | 0.599966i | \(-0.204819\pi\) |
−0.919599 | + | 0.392859i | \(0.871486\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 158.148 | − | 282.862i | 0.237816 | − | 0.425357i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 10.8089i | − | 0.0162052i | ||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 490.087 | − | 282.952i | 0.730384 | − | 0.421687i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −561.683 | − | 324.288i | −0.834595 | − | 0.481854i | 0.0208282 | − | 0.999783i | \(-0.493370\pi\) |
−0.855423 | + | 0.517929i | \(0.826703\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 101.173 | − | 175.236i | 0.149443 | − | 0.258842i | −0.781579 | − | 0.623806i | \(-0.785585\pi\) |
0.931022 | + | 0.364964i | \(0.118919\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −129.870 | − | 224.941i | −0.191266 | − | 0.331283i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 173.829 | 0.254508 | 0.127254 | − | 0.991870i | \(-0.459384\pi\) | ||||
0.127254 | + | 0.991870i | \(0.459384\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1003.45 | + | 561.024i | 1.46488 | + | 0.819013i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −1822.07 | + | 1051.97i | −2.64452 | + | 1.52681i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 423.371 | − | 733.301i | 0.612694 | − | 1.06122i | −0.378091 | − | 0.925769i | \(-0.623419\pi\) |
0.990784 | − | 0.135448i | \(-0.0432474\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 247.531 | − | 147.503i | 0.356160 | − | 0.212235i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −65.8145 | + | 37.9980i | −0.0944254 | + | 0.0545165i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 72.2614i | − | 0.103083i | −0.998671 | − | 0.0515416i | \(-0.983587\pi\) | ||
0.998671 | − | 0.0515416i | \(-0.0164135\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 808.497i | − | 1.15007i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 65.2293 | + | 112.980i | 0.0922621 | + | 0.159803i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −143.779 | + | 249.032i | −0.202791 | + | 0.351244i | −0.949427 | − | 0.313989i | \(-0.898334\pi\) |
0.746636 | + | 0.665233i | \(0.231668\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −6.43253 | + | 11.1415i | −0.00902178 | + | 0.0156262i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 28.8262 | + | 2089.06i | 0.0403163 | + | 2.92177i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | − | 1015.27i | − | 1.41205i | −0.708185 | − | 0.706027i | \(-0.750486\pi\) | ||
0.708185 | − | 0.706027i | \(-0.249514\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −31.2590 | −0.0433551 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −875.083 | − | 473.529i | −1.20701 | − | 0.653143i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −269.696 | − | 155.709i | −0.370971 | − | 0.214180i | 0.302911 | − | 0.953019i | \(-0.402041\pi\) |
−0.673883 | + | 0.738838i | \(0.735375\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 231.755 | + | 133.804i | 0.317038 | + | 0.183042i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 278.035 | − | 160.523i | 0.379310 | − | 0.218995i | −0.298208 | − | 0.954501i | \(-0.596389\pi\) |
0.677518 | + | 0.735506i | \(0.263055\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 125.507 | 0.170295 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −657.185 | −0.889290 | −0.444645 | − | 0.895707i | \(-0.646670\pi\) | ||||
−0.444645 | + | 0.895707i | \(0.646670\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 512.482 | + | 887.645i | 0.689747 | + | 1.19468i | 0.971920 | + | 0.235313i | \(0.0756116\pi\) |
−0.282173 | + | 0.959364i | \(0.591055\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −28.4967 | − | 47.8216i | −0.0382506 | − | 0.0641901i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −356.600 | − | 205.883i | −0.476101 | − | 0.274877i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 31.5738 | + | 54.6874i | 0.0420423 | + | 0.0728194i | 0.886281 | − | 0.463148i | \(-0.153280\pi\) |
−0.844239 | + | 0.535968i | \(0.819947\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 96.8210 | + | 54.1324i | 0.128240 | + | 0.0716986i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1452.21i | 1.91837i | 0.282781 | + | 0.959185i | \(0.408743\pi\) | ||||
−0.282781 | + | 0.959185i | \(0.591257\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 422.468 | − | 243.912i | 0.555148 | − | 0.320515i | −0.196048 | − | 0.980594i | \(-0.562811\pi\) |
0.751196 | + | 0.660079i | \(0.229477\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 294.282 | + | 169.904i | 0.385691 | + | 0.222679i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −907.705 | + | 1572.19i | −1.18345 | + | 2.04979i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −338.574 | − | 586.427i | −0.440278 | − | 0.762584i | 0.557432 | − | 0.830223i | \(-0.311787\pi\) |
−0.997710 | + | 0.0676389i | \(0.978453\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −949.926 | −1.22888 | −0.614441 | − | 0.788963i | \(-0.710619\pi\) | ||||
−0.614441 | + | 0.788963i | \(0.710619\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 620.204 | + | 1008.87i | 0.800263 | + | 1.30177i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −266.378 | + | 153.794i | −0.341949 | + | 0.197424i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −740.261 | + | 1282.17i | −0.947837 | + | 1.64170i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 576.752 | + | 967.874i | 0.734717 | + | 1.23296i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 991.018 | − | 572.164i | 1.25923 | − | 0.727020i | 0.286309 | − | 0.958137i | \(-0.407572\pi\) |
0.972926 | + | 0.231118i | \(0.0742383\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 272.922i | 0.345034i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 718.089i | − | 0.905535i | ||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −325.550 | − | 563.870i | −0.408470 | − | 0.707490i | 0.586249 | − | 0.810131i | \(-0.300604\pi\) |
−0.994718 | + | 0.102641i | \(0.967271\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 117.185 | − | 202.971i | 0.146665 | − | 0.254031i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 |