Newspace parameters
Level: | \( N \) | \(=\) | \( 45 = 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 45.f (of order \(4\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(2.65508595026\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
Defining polynomial: |
\( x^{12} - 16x^{10} - 14x^{8} - 512x^{6} + 3889x^{4} + 126224x^{2} + 506944 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{10}\cdot 3^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 8.2 | ||
Root | \(-0.347140 + 2.27426i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 45.8 |
Dual form | 45.4.f.a.17.2 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.62140 | − | 2.62140i | −0.926806 | − | 0.926806i | 0.0706924 | − | 0.997498i | \(-0.477479\pi\) |
−0.997498 | + | 0.0706924i | \(0.977479\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 5.74350i | 0.717938i | ||||||||
\(5\) | −8.38994 | − | 7.38978i | −0.750419 | − | 0.660962i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −10.8652 | + | 10.8652i | −0.586664 | + | 0.586664i | −0.936726 | − | 0.350062i | \(-0.886160\pi\) |
0.350062 | + | 0.936726i | \(0.386160\pi\) | |||||||
\(8\) | −5.91519 | + | 5.91519i | −0.261417 | + | 0.261417i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.62183 | + | 41.3650i | 0.0829097 | + | 1.30808i | ||||
\(11\) | 37.8905i | 1.03858i | 0.854597 | + | 0.519291i | \(0.173804\pi\) | ||||
−0.854597 | + | 0.519291i | \(0.826196\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −48.1085 | − | 48.1085i | −1.02638 | − | 1.02638i | −0.999643 | − | 0.0267344i | \(-0.991489\pi\) |
−0.0267344 | − | 0.999643i | \(-0.508511\pi\) | |||||||
\(14\) | 56.9640 | 1.08745 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 76.9602 | 1.20250 | ||||||||
\(17\) | −60.3458 | − | 60.3458i | −0.860942 | − | 0.860942i | 0.130506 | − | 0.991448i | \(-0.458340\pi\) |
−0.991448 | + | 0.130506i | \(0.958340\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 109.678i | − | 1.32430i | −0.749369 | − | 0.662152i | \(-0.769643\pi\) | ||
0.749369 | − | 0.662152i | \(-0.230357\pi\) | |||||||
\(20\) | 42.4432 | − | 48.1877i | 0.474530 | − | 0.538755i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 99.3262 | − | 99.3262i | 0.962564 | − | 0.962564i | ||||
\(23\) | 39.7660 | − | 39.7660i | 0.360512 | − | 0.360512i | −0.503489 | − | 0.864002i | \(-0.667951\pi\) |
0.864002 | + | 0.503489i | \(0.167951\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 15.7823 | + | 124.000i | 0.126259 | + | 0.991997i | ||||
\(26\) | 252.224i | 1.90250i | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −62.4042 | − | 62.4042i | −0.421188 | − | 0.421188i | ||||
\(29\) | 90.3553 | 0.578571 | 0.289285 | − | 0.957243i | \(-0.406582\pi\) | ||||
0.289285 | + | 0.957243i | \(0.406582\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −233.678 | −1.35386 | −0.676932 | − | 0.736046i | \(-0.736691\pi\) | ||||
−0.676932 | + | 0.736046i | \(0.736691\pi\) | |||||||
\(32\) | −154.422 | − | 154.422i | −0.853070 | − | 0.853070i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 316.381i | 1.59585i | ||||||||
\(35\) | 171.449 | − | 10.8670i | 0.828007 | − | 0.0524815i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −19.0042 | + | 19.0042i | −0.0844399 | + | 0.0844399i | −0.748065 | − | 0.663625i | \(-0.769017\pi\) |
0.663625 | + | 0.748065i | \(0.269017\pi\) | |||||||
\(38\) | −287.509 | + | 287.509i | −1.22737 | + | 1.22737i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 93.3400 | − | 5.91616i | 0.368959 | − | 0.0233857i | ||||
\(41\) | − | 260.783i | − | 0.993354i | −0.867935 | − | 0.496677i | \(-0.834553\pi\) | ||
0.867935 | − | 0.496677i | \(-0.165447\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 176.216 | + | 176.216i | 0.624948 | + | 0.624948i | 0.946792 | − | 0.321845i | \(-0.104303\pi\) |
−0.321845 | + | 0.946792i | \(0.604303\pi\) | |||||||
\(44\) | −217.624 | −0.745638 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −208.485 | −0.668250 | ||||||||
\(47\) | −145.788 | − | 145.788i | −0.452456 | − | 0.452456i | 0.443713 | − | 0.896169i | \(-0.353661\pi\) |
−0.896169 | + | 0.443713i | \(0.853661\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 106.896i | 0.311650i | ||||||||
\(50\) | 283.681 | − | 366.425i | 0.802372 | − | 1.03641i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 276.311 | − | 276.311i | 0.736875 | − | 0.736875i | ||||
\(53\) | −183.285 | + | 183.285i | −0.475022 | + | 0.475022i | −0.903535 | − | 0.428513i | \(-0.859038\pi\) |
0.428513 | + | 0.903535i | \(0.359038\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 280.002 | − | 317.899i | 0.686464 | − | 0.779373i | ||||
\(56\) | − | 128.539i | − | 0.306728i | ||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −236.858 | − | 236.858i | −0.536223 | − | 0.536223i | ||||
\(59\) | 279.564 | 0.616883 | 0.308441 | − | 0.951243i | \(-0.400193\pi\) | ||||
0.308441 | + | 0.951243i | \(0.400193\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −390.267 | −0.819157 | −0.409578 | − | 0.912275i | \(-0.634324\pi\) | ||||
−0.409578 | + | 0.912275i | \(0.634324\pi\) | |||||||
\(62\) | 612.563 | + | 612.563i | 1.25477 | + | 1.25477i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 193.924i | 0.378757i | ||||||||
\(65\) | 48.1164 | + | 759.139i | 0.0918170 | + | 1.44861i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 150.444 | − | 150.444i | 0.274324 | − | 0.274324i | −0.556514 | − | 0.830838i | \(-0.687861\pi\) |
0.830838 | + | 0.556514i | \(0.187861\pi\) | |||||||
\(68\) | 346.596 | − | 346.596i | 0.618103 | − | 0.618103i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −477.925 | − | 420.951i | −0.816042 | − | 0.718761i | ||||
\(71\) | 470.042i | 0.785686i | 0.919605 | + | 0.392843i | \(0.128508\pi\) | ||||
−0.919605 | + | 0.392843i | \(0.871492\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 480.765 | + | 480.765i | 0.770812 | + | 0.770812i | 0.978249 | − | 0.207436i | \(-0.0665119\pi\) |
−0.207436 | + | 0.978249i | \(0.566512\pi\) | |||||||
\(74\) | 99.6355 | 0.156519 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 629.934 | 0.950769 | ||||||||
\(77\) | −411.687 | − | 411.687i | −0.609299 | − | 0.609299i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 1322.44i | − | 1.88337i | −0.336497 | − | 0.941685i | \(-0.609242\pi\) | ||
0.336497 | − | 0.941685i | \(-0.390758\pi\) | |||||||
\(80\) | −645.692 | − | 568.719i | −0.902382 | − | 0.794809i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −683.618 | + | 683.618i | −0.920646 | + | 0.920646i | ||||
\(83\) | 456.192 | − | 456.192i | 0.603296 | − | 0.603296i | −0.337890 | − | 0.941186i | \(-0.609713\pi\) |
0.941186 | + | 0.337890i | \(0.109713\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 60.3558 | + | 952.240i | 0.0770177 | + | 1.21512i | ||||
\(86\) | − | 923.868i | − | 1.15841i | ||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −224.129 | − | 224.129i | −0.271503 | − | 0.271503i | ||||
\(89\) | −1364.85 | −1.62555 | −0.812774 | − | 0.582580i | \(-0.802043\pi\) | ||||
−0.812774 | + | 0.582580i | \(0.802043\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1045.41 | 1.20428 | ||||||||
\(92\) | 228.396 | + | 228.396i | 0.258825 | + | 0.258825i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 764.340i | 0.838677i | ||||||||
\(95\) | −810.494 | + | 920.190i | −0.875315 | + | 0.993784i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −785.308 | + | 785.308i | −0.822020 | + | 0.822020i | −0.986398 | − | 0.164377i | \(-0.947439\pi\) |
0.164377 | + | 0.986398i | \(0.447439\pi\) | |||||||
\(98\) | 280.218 | − | 280.218i | 0.288839 | − | 0.288839i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −712.193 | + | 90.6458i | −0.712193 | + | 0.0906458i | ||||
\(101\) | 111.555i | 0.109902i | 0.998489 | + | 0.0549510i | \(0.0175003\pi\) | ||||
−0.998489 | + | 0.0549510i | \(0.982500\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 13.8820 | + | 13.8820i | 0.0132800 | + | 0.0132800i | 0.713716 | − | 0.700436i | \(-0.247011\pi\) |
−0.700436 | + | 0.713716i | \(0.747011\pi\) | |||||||
\(104\) | 569.142 | 0.536624 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 960.929 | 0.880507 | ||||||||
\(107\) | 776.165 | + | 776.165i | 0.701259 | + | 0.701259i | 0.964681 | − | 0.263422i | \(-0.0848510\pi\) |
−0.263422 | + | 0.964681i | \(0.584851\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 410.579i | − | 0.360792i | −0.983594 | − | 0.180396i | \(-0.942262\pi\) | ||
0.983594 | − | 0.180396i | \(-0.0577379\pi\) | |||||||
\(110\) | −1567.34 | + | 99.3425i | −1.35855 | + | 0.0861085i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −836.186 | + | 836.186i | −0.705465 | + | 0.705465i | ||||
\(113\) | 521.328 | − | 521.328i | 0.434004 | − | 0.434004i | −0.455984 | − | 0.889988i | \(-0.650713\pi\) |
0.889988 | + | 0.455984i | \(0.150713\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −627.496 | + | 39.7725i | −0.508820 | + | 0.0322505i | ||||
\(116\) | 518.956i | 0.415378i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −732.849 | − | 732.849i | −0.571730 | − | 0.571730i | ||||
\(119\) | 1311.34 | 1.01017 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −104.688 | −0.0786538 | ||||||||
\(122\) | 1023.05 | + | 1023.05i | 0.759199 | + | 0.759199i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | − | 1342.13i | − | 0.971990i | ||||||
\(125\) | 783.917 | − | 1156.98i | 0.560926 | − | 0.827866i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 786.555 | − | 786.555i | 0.549571 | − | 0.549571i | −0.376746 | − | 0.926317i | \(-0.622957\pi\) |
0.926317 | + | 0.376746i | \(0.122957\pi\) | |||||||
\(128\) | −727.025 | + | 727.025i | −0.502036 | + | 0.502036i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1863.88 | − | 2116.14i | 1.25748 | − | 1.42768i | ||||
\(131\) | − | 448.364i | − | 0.299036i | −0.988759 | − | 0.149518i | \(-0.952228\pi\) | ||
0.988759 | − | 0.149518i | \(-0.0477722\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1191.67 | + | 1191.67i | 0.776922 | + | 0.776922i | ||||
\(134\) | −788.751 | −0.508490 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 713.914 | 0.450129 | ||||||||
\(137\) | −950.120 | − | 950.120i | −0.592512 | − | 0.592512i | 0.345797 | − | 0.938309i | \(-0.387609\pi\) |
−0.938309 | + | 0.345797i | \(0.887609\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 112.735i | − | 0.0687918i | −0.999408 | − | 0.0343959i | \(-0.989049\pi\) | ||
0.999408 | − | 0.0343959i | \(-0.0109507\pi\) | |||||||
\(140\) | 62.4144 | + | 984.720i | 0.0376784 | + | 0.594458i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1232.17 | − | 1232.17i | 0.728179 | − | 0.728179i | ||||
\(143\) | 1822.85 | − | 1822.85i | 1.06598 | − | 1.06598i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −758.076 | − | 667.706i | −0.434171 | − | 0.382413i | ||||
\(146\) | − | 2520.56i | − | 1.42879i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −109.151 | − | 109.151i | −0.0606226 | − | 0.0606226i | ||||
\(149\) | −1492.95 | −0.820852 | −0.410426 | − | 0.911894i | \(-0.634620\pi\) | ||||
−0.410426 | + | 0.911894i | \(0.634620\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2939.54 | −1.58422 | −0.792108 | − | 0.610381i | \(-0.791016\pi\) | ||||
−0.792108 | + | 0.610381i | \(0.791016\pi\) | |||||||
\(152\) | 648.764 | + | 648.764i | 0.346196 | + | 0.346196i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2158.39i | 1.12940i | ||||||||
\(155\) | 1960.54 | + | 1726.83i | 1.01597 | + | 0.894852i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 156.386 | − | 156.386i | 0.0794967 | − | 0.0794967i | −0.666240 | − | 0.745737i | \(-0.732098\pi\) |
0.745737 | + | 0.666240i | \(0.232098\pi\) | |||||||
\(158\) | −3466.65 | + | 3466.65i | −1.74552 | + | 1.74552i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 154.448 | + | 2436.74i | 0.0763135 | + | 1.20401i | ||||
\(161\) | 864.129i | 0.422999i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −239.292 | − | 239.292i | −0.114986 | − | 0.114986i | 0.647272 | − | 0.762259i | \(-0.275910\pi\) |
−0.762259 | + | 0.647272i | \(0.775910\pi\) | |||||||
\(164\) | 1497.81 | 0.713167 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2391.72 | −1.11828 | ||||||||
\(167\) | −677.159 | − | 677.159i | −0.313773 | − | 0.313773i | 0.532596 | − | 0.846369i | \(-0.321216\pi\) |
−0.846369 | + | 0.532596i | \(0.821216\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2431.86i | 1.10690i | ||||||||
\(170\) | 2337.99 | − | 2654.42i | 1.05480 | − | 1.19756i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1012.10 | + | 1012.10i | −0.448674 | + | 0.448674i | ||||
\(173\) | −441.523 | + | 441.523i | −0.194037 | + | 0.194037i | −0.797438 | − | 0.603401i | \(-0.793812\pi\) |
0.603401 | + | 0.797438i | \(0.293812\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1518.76 | − | 1175.80i | −0.656041 | − | 0.507898i | ||||
\(176\) | 2916.06i | 1.24890i | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3577.82 | + | 3577.82i | 1.50657 | + | 1.50657i | ||||
\(179\) | −4724.27 | −1.97267 | −0.986337 | − | 0.164737i | \(-0.947322\pi\) | ||||
−0.986337 | + | 0.164737i | \(0.947322\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1548.35 | −0.635847 | −0.317923 | − | 0.948116i | \(-0.602985\pi\) | ||||
−0.317923 | + | 0.948116i | \(0.602985\pi\) | |||||||
\(182\) | −2740.45 | − | 2740.45i | −1.11613 | − | 1.11613i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 470.447i | 0.188488i | ||||||||
\(185\) | 299.882 | − | 19.0074i | 0.119177 | − | 0.00755378i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2286.53 | − | 2286.53i | 0.894159 | − | 0.894159i | ||||
\(188\) | 837.336 | − | 837.336i | 0.324835 | − | 0.324835i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4536.82 | − | 287.557i | 1.73229 | − | 0.109798i | ||||
\(191\) | − | 1090.71i | − | 0.413200i | −0.978426 | − | 0.206600i | \(-0.933760\pi\) | ||
0.978426 | − | 0.206600i | \(-0.0662398\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2825.69 | − | 2825.69i | −1.05387 | − | 1.05387i | −0.998464 | − | 0.0554112i | \(-0.982353\pi\) |
−0.0554112 | − | 0.998464i | \(-0.517647\pi\) | |||||||
\(194\) | 4117.22 | 1.52371 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −613.958 | −0.223746 | ||||||||
\(197\) | −1163.99 | − | 1163.99i | −0.420969 | − | 0.420969i | 0.464569 | − | 0.885537i | \(-0.346209\pi\) |
−0.885537 | + | 0.464569i | \(0.846209\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 520.257i | 0.185327i | 0.995697 | + | 0.0926633i | \(0.0295380\pi\) | ||||
−0.995697 | + | 0.0926633i | \(0.970462\pi\) | |||||||
\(200\) | −826.837 | − | 640.126i | −0.292331 | − | 0.226319i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 292.430 | − | 292.430i | 0.101858 | − | 0.101858i | ||||
\(203\) | −981.726 | + | 981.726i | −0.339427 | + | 0.339427i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1927.13 | + | 2187.96i | −0.656569 | + | 0.745432i | ||||
\(206\) | − | 72.7808i | − | 0.0246159i | ||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3702.44 | − | 3702.44i | −1.23422 | − | 1.23422i | ||||
\(209\) | 4155.74 | 1.37540 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5524.38 | 1.80244 | 0.901219 | − | 0.433365i | \(-0.142674\pi\) | ||||
0.901219 | + | 0.433365i | \(0.142674\pi\) | |||||||
\(212\) | −1052.70 | − | 1052.70i | −0.341036 | − | 0.341036i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | − | 4069.28i | − | 1.29986i | ||||||
\(215\) | −176.245 | − | 2780.65i | −0.0559062 | − | 0.882039i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2538.95 | − | 2538.95i | 0.794263 | − | 0.794263i | ||||
\(218\) | −1076.29 | + | 1076.29i | −0.334384 | + | 0.334384i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1825.85 | + | 1608.19i | 0.559541 | + | 0.492838i | ||||
\(221\) | 5806.30i | 1.76730i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 323.198 | + | 323.198i | 0.0970537 | + | 0.0970537i | 0.753967 | − | 0.656913i | \(-0.228138\pi\) |
−0.656913 | + | 0.753967i | \(0.728138\pi\) | |||||||
\(224\) | 3355.65 | 1.00093 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2733.22 | −0.804474 | ||||||||
\(227\) | 2739.76 | + | 2739.76i | 0.801077 | + | 0.801077i | 0.983264 | − | 0.182187i | \(-0.0583177\pi\) |
−0.182187 | + | 0.983264i | \(0.558318\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 230.334i | − | 0.0664667i | −0.999448 | − | 0.0332333i | \(-0.989420\pi\) | ||
0.999448 | − | 0.0332333i | \(-0.0105804\pi\) | |||||||
\(230\) | 1749.18 | + | 1540.66i | 0.501468 | + | 0.441688i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −534.468 | + | 534.468i | −0.151248 | + | 0.151248i | ||||
\(233\) | 350.156 | − | 350.156i | 0.0984526 | − | 0.0984526i | −0.656165 | − | 0.754618i | \(-0.727822\pi\) |
0.754618 | + | 0.656165i | \(0.227822\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 145.812 | + | 2300.50i | 0.0404755 | + | 0.638587i | ||||
\(236\) | 1605.67i | 0.442883i | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −3437.54 | − | 3437.54i | −0.936229 | − | 0.936229i | ||||
\(239\) | −1013.20 | −0.274218 | −0.137109 | − | 0.990556i | \(-0.543781\pi\) | ||||
−0.137109 | + | 0.990556i | \(0.543781\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2584.30 | 0.690744 | 0.345372 | − | 0.938466i | \(-0.387753\pi\) | ||||
0.345372 | + | 0.938466i | \(0.387753\pi\) | |||||||
\(242\) | 274.430 | + | 274.430i | 0.0728968 | + | 0.0728968i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 2241.50i | − | 0.588104i | ||||||
\(245\) | 789.938 | − | 896.852i | 0.205989 | − | 0.233868i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5276.43 | + | 5276.43i | −1.35924 | + | 1.35924i | ||||
\(248\) | 1382.25 | − | 1382.25i | 0.353923 | − | 0.353923i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5087.87 | + | 977.942i | −1.28714 | + | 0.247402i | ||||
\(251\) | 1708.34i | 0.429599i | 0.976658 | + | 0.214800i | \(0.0689099\pi\) | ||||
−0.976658 | + | 0.214800i | \(0.931090\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1506.75 | + | 1506.75i | 0.374422 | + | 0.374422i | ||||
\(254\) | −4123.76 | −1.01869 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 5363.04 | 1.30934 | ||||||||
\(257\) | −2659.48 | − | 2659.48i | −0.645500 | − | 0.645500i | 0.306402 | − | 0.951902i | \(-0.400875\pi\) |
−0.951902 | + | 0.306402i | \(0.900875\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | − | 412.969i | − | 0.0990757i | ||||||
\(260\) | −4360.12 | + | 276.357i | −1.04001 | + | 0.0659189i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1175.34 | + | 1175.34i | −0.277148 | + | 0.277148i | ||||
\(263\) | 2307.03 | − | 2307.03i | 0.540903 | − | 0.540903i | −0.382891 | − | 0.923794i | \(-0.625071\pi\) |
0.923794 | + | 0.382891i | \(0.125071\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2892.19 | − | 183.315i | 0.670437 | − | 0.0424943i | ||||
\(266\) | − | 6247.68i | − | 1.44011i | ||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 864.078 | + | 864.078i | 0.196948 | + | 0.196948i | ||||
\(269\) | 447.584 | 0.101449 | 0.0507243 | − | 0.998713i | \(-0.483847\pi\) | ||||
0.0507243 | + | 0.998713i | \(0.483847\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1573.15 | 0.352627 | 0.176314 | − | 0.984334i | \(-0.443583\pi\) | ||||
0.176314 | + | 0.984334i | \(0.443583\pi\) | |||||||
\(272\) | −4644.23 | − | 4644.23i | −1.03529 | − | 1.03529i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4981.29i | 1.09829i | ||||||||
\(275\) | −4698.41 | + | 598.000i | −1.03027 | + | 0.131130i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5816.91 | − | 5816.91i | 1.26175 | − | 1.26175i | 0.311504 | − | 0.950245i | \(-0.399167\pi\) |
0.950245 | − | 0.311504i | \(-0.100833\pi\) | |||||||
\(278\) | −295.524 | + | 295.524i | −0.0637566 | + | 0.0637566i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −949.875 | + | 1078.44i | −0.202735 | + | 0.230174i | ||||
\(281\) | − | 140.032i | − | 0.0297281i | −0.999890 | − | 0.0148640i | \(-0.995268\pi\) | ||
0.999890 | − | 0.0148640i | \(-0.00473155\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4431.85 | + | 4431.85i | 0.930905 | + | 0.930905i | 0.997763 | − | 0.0668572i | \(-0.0212972\pi\) |
−0.0668572 | + | 0.997763i | \(0.521297\pi\) | |||||||
\(284\) | −2699.69 | −0.564074 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −9556.87 | −1.97591 | ||||||||
\(287\) | 2833.46 | + | 2833.46i | 0.582765 | + | 0.582765i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2370.24i | 0.482442i | ||||||||
\(290\) | 236.897 | + | 3737.55i | 0.0479691 | + | 0.756815i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2761.28 | + | 2761.28i | −0.553395 | + | 0.553395i | ||||
\(293\) | 1244.45 | − | 1244.45i | 0.248127 | − | 0.248127i | −0.572074 | − | 0.820202i | \(-0.693861\pi\) |
0.820202 | + | 0.572074i | \(0.193861\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2345.52 | − | 2065.91i | −0.462921 | − | 0.407736i | ||||
\(296\) | − | 224.827i | − | 0.0441480i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 3913.61 | + | 3913.61i | 0.760771 | + | 0.760771i | ||||
\(299\) | −3826.17 | −0.740043 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3829.24 | −0.733269 | ||||||||
\(302\) | 7705.73 | + | 7705.73i | 1.46826 | + | 1.46826i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | − | 8440.82i | − | 1.59248i | ||||||
\(305\) | 3274.32 | + | 2883.99i | 0.614711 | + | 0.541432i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7327.60 | + | 7327.60i | −1.36224 | + | 1.36224i | −0.491189 | + | 0.871053i | \(0.663437\pi\) |
−0.871053 | + | 0.491189i | \(0.836563\pi\) | |||||||
\(308\) | 2364.52 | − | 2364.52i | 0.437439 | − | 0.437439i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −612.664 | − | 9666.08i | −0.112248 | − | 1.77096i | ||||
\(311\) | − | 7489.38i | − | 1.36554i | −0.730632 | − | 0.682771i | \(-0.760775\pi\) | ||
0.730632 | − | 0.682771i | \(-0.239225\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2456.04 | − | 2456.04i | −0.443525 | − | 0.443525i | 0.449670 | − | 0.893195i | \(-0.351542\pi\) |
−0.893195 | + | 0.449670i | \(0.851542\pi\) | |||||||
\(314\) | −819.903 | −0.147356 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7595.44 | 1.35214 | ||||||||
\(317\) | 6724.30 | + | 6724.30i | 1.19140 | + | 1.19140i | 0.976674 | + | 0.214728i | \(0.0688866\pi\) |
0.214728 | + | 0.976674i | \(0.431113\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3423.60i | 0.600894i | ||||||||
\(320\) | 1433.05 | − | 1627.01i | 0.250344 | − | 0.284227i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2265.23 | − | 2265.23i | 0.392038 | − | 0.392038i | ||||
\(323\) | −6618.59 | + | 6618.59i | −1.14015 | + | 1.14015i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5206.18 | − | 6724.70i | 0.888574 | − | 1.14775i | ||||
\(326\) | 1254.56i | 0.213140i | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1542.58 | + | 1542.58i | 0.259679 | + | 0.259679i | ||||
\(329\) | 3168.03 | 0.530879 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −199.080 | −0.0330586 | −0.0165293 | − | 0.999863i | \(-0.505262\pi\) | ||||
−0.0165293 | + | 0.999863i | \(0.505262\pi\) | |||||||
\(332\) | 2620.14 | + | 2620.14i | 0.433129 | + | 0.433129i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3550.21i | 0.581614i | ||||||||
\(335\) | −2373.97 | + | 150.469i | −0.387176 | + | 0.0245403i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3308.77 | − | 3308.77i | 0.534838 | − | 0.534838i | −0.387170 | − | 0.922008i | \(-0.626547\pi\) |
0.922008 | + | 0.387170i | \(0.126547\pi\) | |||||||
\(338\) | 6374.88 | − | 6374.88i | 1.02588 | − | 1.02588i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −5469.20 | + | 346.653i | −0.872379 | + | 0.0552939i | ||||
\(341\) | − | 8854.16i | − | 1.40610i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4888.20 | − | 4888.20i | −0.769498 | − | 0.769498i | ||||
\(344\) | −2084.71 | −0.326744 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2314.82 | 0.359669 | ||||||||
\(347\) | −2371.68 | − | 2371.68i | −0.366912 | − | 0.366912i | 0.499438 | − | 0.866350i | \(-0.333540\pi\) |
−0.866350 | + | 0.499438i | \(0.833540\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 8208.92i | − | 1.25906i | −0.776975 | − | 0.629532i | \(-0.783247\pi\) | ||
0.776975 | − | 0.629532i | \(-0.216753\pi\) | |||||||
\(350\) | 899.024 | + | 7063.52i | 0.137300 | + | 1.07875i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5851.13 | − | 5851.13i | 0.885984 | − | 0.885984i | ||||
\(353\) | −6800.98 | + | 6800.98i | −1.02544 | + | 1.02544i | −0.0257707 | + | 0.999668i | \(0.508204\pi\) |
−0.999668 | + | 0.0257707i | \(0.991796\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3473.51 | − | 3943.63i | 0.519309 | − | 0.589594i | ||||
\(356\) | − | 7839.01i | − | 1.16704i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 12384.2 | + | 12384.2i | 1.82829 | + | 1.82829i | ||||
\(359\) | 1778.14 | 0.261411 | 0.130705 | − | 0.991421i | \(-0.458276\pi\) | ||||
0.130705 | + | 0.991421i | \(0.458276\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5170.20 | −0.753783 | ||||||||
\(362\) | 4058.86 | + | 4058.86i | 0.589306 | + | 0.589306i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 6004.34i | 0.864596i | ||||||||
\(365\) | −480.844 | − | 7586.34i | −0.0689549 | − | 1.08791i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4673.56 | + | 4673.56i | −0.664735 | + | 0.664735i | −0.956492 | − | 0.291757i | \(-0.905760\pi\) |
0.291757 | + | 0.956492i | \(0.405760\pi\) | |||||||
\(368\) | 3060.40 | − | 3060.40i | 0.433517 | − | 0.433517i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −835.936 | − | 736.284i | −0.117455 | − | 0.103453i | ||||
\(371\) | − | 3982.85i | − | 0.557357i | ||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5729.37 | − | 5729.37i | −0.795323 | − | 0.795323i | 0.187031 | − | 0.982354i | \(-0.440114\pi\) |
−0.982354 | + | 0.187031i | \(0.940114\pi\) | |||||||
\(374\) | −11987.8 | −1.65742 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1724.73 | 0.236559 | ||||||||
\(377\) | −4346.86 | − | 4346.86i | −0.593832 | − | 0.593832i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 153.883i | − | 0.0208561i | −0.999946 | − | 0.0104280i | \(-0.996681\pi\) | ||
0.999946 | − | 0.0104280i | \(-0.00331941\pi\) | |||||||
\(380\) | −5285.11 | − | 4655.08i | −0.713475 | − | 0.628422i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2859.19 | + | 2859.19i | −0.382956 | + | 0.382956i | ||||
\(383\) | 4297.76 | − | 4297.76i | 0.573382 | − | 0.573382i | −0.359690 | − | 0.933072i | \(-0.617118\pi\) |
0.933072 | + | 0.359690i | \(0.117118\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 411.754 | + | 6496.30i | 0.0545063 | + | 0.859954i | ||||
\(386\) | 14814.6i | 1.95347i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4510.42 | − | 4510.42i | −0.590160 | − | 0.590160i | ||||
\(389\) | 7833.00 | 1.02095 | 0.510474 | − | 0.859893i | \(-0.329470\pi\) | ||||
0.510474 | + | 0.859893i | \(0.329470\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4799.42 | −0.620760 | ||||||||
\(392\) | −632.310 | − | 632.310i | −0.0814706 | − | 0.0814706i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 6102.57i | 0.780312i | ||||||||
\(395\) | −9772.54 | + | 11095.2i | −1.24484 | + | 1.41332i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −10195.4 | + | 10195.4i | −1.28889 | + | 1.28889i | −0.353435 | + | 0.935459i | \(0.614987\pi\) |
−0.935459 | + | 0.353435i | \(0.885013\pi\) | |||||||
\(398\) | 1363.80 | − | 1363.80i | 0.171762 | − | 0.171762i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1214.61 | + | 9543.04i | 0.151826 | + | 1.19288i | ||||
\(401\) | 10778.3i | 1.34226i | 0.741341 | + | 0.671128i | \(0.234190\pi\) | ||||
−0.741341 | + | 0.671128i | \(0.765810\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 11241.9 | + | 11241.9i | 1.38957 | + | 1.38957i | ||||
\(404\) | −640.714 | −0.0789028 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 5147.00 | 0.629165 | ||||||||
\(407\) | −720.079 | − | 720.079i | −0.0876978 | − | 0.0876978i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 4629.92i | − | 0.559743i | −0.960037 | − | 0.279872i | \(-0.909708\pi\) | ||
0.960037 | − | 0.279872i | \(-0.0902919\pi\) | |||||||
\(410\) | 10787.3 | − | 683.731i | 1.29938 | − | 0.0823587i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −79.7315 | + | 79.7315i | −0.00953420 | + | 0.00953420i | ||||
\(413\) | −3037.51 | + | 3037.51i | −0.361903 | + | 0.361903i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7198.58 | + | 456.267i | −0.851480 | + | 0.0539693i | ||||
\(416\) | 14858.0i | 1.75114i | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −10893.9 | − | 10893.9i | −1.27473 | − | 1.27473i | ||||
\(419\) | 11276.5 | 1.31478 | 0.657389 | − | 0.753551i | \(-0.271661\pi\) | ||||
0.657389 | + | 0.753551i | \(0.271661\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3387.58 | 0.392163 | 0.196082 | − | 0.980588i | \(-0.437178\pi\) | ||||
0.196082 | + | 0.980588i | \(0.437178\pi\) | |||||||
\(422\) | −14481.6 | − | 14481.6i | −1.67051 | − | 1.67051i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | − | 2168.33i | − | 0.248358i | ||||||
\(425\) | 6530.47 | − | 8435.26i | 0.745351 | − | 0.962753i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4240.32 | − | 4240.32i | 0.480570 | − | 0.480570i | ||||
\(428\) | −4457.91 | + | 4457.91i | −0.503461 | + | 0.503461i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6827.18 | + | 7751.20i | −0.765665 | + | 0.869293i | ||||
\(431\) | − | 16161.7i | − | 1.80623i | −0.429402 | − | 0.903113i | \(-0.641276\pi\) | ||
0.429402 | − | 0.903113i | \(-0.358724\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −3808.79 | − | 3808.79i | −0.422722 | − | 0.422722i | 0.463418 | − | 0.886140i | \(-0.346623\pi\) |
−0.886140 | + | 0.463418i | \(0.846623\pi\) | |||||||
\(434\) | −13311.2 | −1.47226 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2358.16 | 0.259026 | ||||||||
\(437\) | −4361.44 | − | 4361.44i | −0.477428 | − | 0.477428i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 1607.30i | − | 0.174744i | −0.996176 | − | 0.0873718i | \(-0.972153\pi\) | ||
0.996176 | − | 0.0873718i | \(-0.0278468\pi\) | |||||||
\(440\) | 224.166 | + | 3536.70i | 0.0242880 | + | 0.383194i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 15220.6 | − | 15220.6i | 1.63795 | − | 1.63795i | ||||
\(443\) | 8296.60 | − | 8296.60i | 0.889805 | − | 0.889805i | −0.104699 | − | 0.994504i | \(-0.533388\pi\) |
0.994504 | + | 0.104699i | \(0.0333880\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11451.0 | + | 10085.9i | 1.21984 | + | 1.07442i | ||||
\(446\) | − | 1694.47i | − | 0.179900i | ||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2107.02 | − | 2107.02i | −0.222203 | − | 0.222203i | ||||
\(449\) | 15061.8 | 1.58309 | 0.791547 | − | 0.611108i | \(-0.209276\pi\) | ||||
0.791547 | + | 0.611108i | \(0.209276\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9881.20 | 1.03168 | ||||||||
\(452\) | 2994.25 | + | 2994.25i | 0.311588 | + | 0.311588i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | − | 14364.0i | − | 1.48489i | ||||||
\(455\) | −8770.97 | − | 7725.38i | −0.903713 | − | 0.795981i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2671.27 | − | 2671.27i | 0.273428 | − | 0.273428i | −0.557050 | − | 0.830479i | \(-0.688067\pi\) |
0.830479 | + | 0.557050i | \(0.188067\pi\) | |||||||
\(458\) | −603.797 | + | 603.797i | −0.0616017 | + | 0.0616017i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −228.434 | − | 3604.03i | −0.0231539 | − | 0.365301i | ||||
\(461\) | 12809.1i | 1.29410i | 0.762449 | + | 0.647049i | \(0.223997\pi\) | ||||
−0.762449 | + | 0.647049i | \(0.776003\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11154.1 | − | 11154.1i | −1.11960 | − | 1.11960i | −0.991799 | − | 0.127804i | \(-0.959207\pi\) |
−0.127804 | − | 0.991799i | \(-0.540793\pi\) | |||||||
\(464\) | 6953.76 | 0.695733 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1835.80 | −0.182493 | ||||||||
\(467\) | 7905.44 | + | 7905.44i | 0.783341 | + | 0.783341i | 0.980393 | − | 0.197052i | \(-0.0631368\pi\) |
−0.197052 | + | 0.980393i | \(0.563137\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3269.21i | 0.321872i | ||||||||
\(470\) | 5648.30 | − | 6412.77i | 0.554334 | − | 0.629360i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −1653.67 | + | 1653.67i | −0.161263 | + | 0.161263i | ||||
\(473\) | −6676.92 | + | 6676.92i | −0.649060 | + | 0.649060i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 13600.0 | − | 1730.97i | 1.31371 | − | 0.167205i | ||||
\(476\) | 7531.66i | 0.725238i | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2655.99 | + | 2655.99i | 0.254147 | + | 0.254147i | ||||
\(479\) | −10715.8 | −1.02217 | −0.511085 | − | 0.859530i | \(-0.670756\pi\) | ||||
−0.511085 | + | 0.859530i | \(0.670756\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1828.53 | 0.173334 | ||||||||
\(482\) | −6774.48 | − | 6774.48i | −0.640185 | − | 0.640185i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 601.277i | − | 0.0564685i | ||||||
\(485\) | 12391.9 | − | 785.437i | 1.16018 | − | 0.0735358i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4489.84 | + | 4489.84i | −0.417770 | + | 0.417770i | −0.884435 | − | 0.466664i | \(-0.845456\pi\) |
0.466664 | + | 0.884435i | \(0.345456\pi\) | |||||||
\(488\) | 2308.50 | − | 2308.50i | 0.214141 | − | 0.214141i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4421.76 | + | 280.264i | −0.407662 | + | 0.0258388i | ||||
\(491\) | 15174.1i | 1.39470i | 0.716729 | + | 0.697352i | \(0.245638\pi\) | ||||
−0.716729 | + | 0.697352i | \(0.754362\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5452.56 | − | 5452.56i | −0.498116 | − | 0.498116i | ||||
\(494\) | 27663.3 | 2.51950 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −17983.9 | −1.62802 | ||||||||
\(497\) | −5107.09 | − | 5107.09i | −0.460934 | − | 0.460934i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 8887.20i | 0.797286i | 0.917106 | + | 0.398643i | \(0.130519\pi\) | ||||
−0.917106 | + | 0.398643i | \(0.869481\pi\) | |||||||
\(500\) | 6645.11 | + | 4502.43i | 0.594357 | + | 0.402710i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4478.25 | − | 4478.25i | 0.398155 | − | 0.398155i | ||||
\(503\) | −12740.5 | + | 12740.5i | −1.12936 | + | 1.12936i | −0.139084 | + | 0.990281i | \(0.544416\pi\) |
−0.990281 | + | 0.139084i | \(0.955584\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 824.364 | − | 935.937i | 0.0726410 | − | 0.0824726i | ||||
\(506\) | − | 7899.61i | − | 0.694033i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 4517.58 | + | 4517.58i | 0.394558 | + | 0.394558i | ||||
\(509\) | −9257.00 | −0.806108 | −0.403054 | − | 0.915176i | \(-0.632051\pi\) | ||||
−0.403054 | + | 0.915176i | \(0.632051\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10447.2 | −0.904416 | ||||||||
\(512\) | −8242.49 | − | 8242.49i | −0.711465 | − | 0.711465i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13943.1i | 1.19651i | ||||||||
\(515\) | −13.8843 | − | 219.055i | −0.00118799 | − | 0.0187431i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5523.99 | − | 5523.99i | 0.469913 | − | 0.469913i | ||||
\(518\) | −1082.56 | + | 1082.56i | −0.0918240 | + | 0.0918240i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4775.07 | − | 4205.83i | −0.402693 | − | 0.354688i | ||||
\(521\) | − | 13563.3i | − | 1.14054i | −0.821458 | − | 0.570268i | \(-0.806839\pi\) | ||
0.821458 | − | 0.570268i | \(-0.193161\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11193.8 | + | 11193.8i | 0.935894 | + | 0.935894i | 0.998065 | − | 0.0621714i | \(-0.0198026\pi\) |
−0.0621714 | + | 0.998065i | \(0.519803\pi\) | |||||||
\(524\) | 2575.18 | 0.214689 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12095.3 | −1.00262 | ||||||||
\(527\) | 14101.5 | + | 14101.5i | 1.16560 | + | 1.16560i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9004.33i | 0.740062i | ||||||||
\(530\) | −8062.14 | − | 7101.05i | −0.660749 | − | 0.581981i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −6844.34 | + | 6844.34i | −0.557782 | + | 0.557782i | ||||
\(533\) | −12545.9 | + | 12545.9i | −1.01956 | + | 1.01956i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −776.293 | − | 12247.7i | −0.0627329 | − | 0.989744i | ||||
\(536\) | 1779.81i | 0.143426i | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1173.30 | − | 1173.30i | −0.0940231 | − | 0.0940231i | ||||
\(539\) | −4050.34 | −0.323675 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1383.33 | 0.109934 | 0.0549668 | − | 0.998488i | \(-0.482495\pi\) | ||||
0.0549668 | + | 0.998488i | \(0.482495\pi\) | |||||||
\(542\) | −4123.86 | − | 4123.86i | −0.326817 | − | 0.326817i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 18637.5i | 1.46889i | ||||||||
\(545\) | −3034.09 | + | 3444.73i | −0.238470 | + | 0.270745i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2181.76 | − | 2181.76i | 0.170540 | − | 0.170540i | −0.616677 | − | 0.787217i | \(-0.711521\pi\) |
0.787217 | + | 0.616677i | \(0.211521\pi\) | |||||||
\(548\) | 5457.01 | − | 5457.01i | 0.425387 | − | 0.425387i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 13884.0 | + | 10748.8i | 1.07639 | + | 0.833329i | ||||
\(551\) | − | 9909.96i | − | 0.766204i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 14368.5 | + | 14368.5i | 1.10491 | + | 1.10491i | ||||
\(554\) | −30496.9 | −2.33879 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 647.494 | 0.0493882 | ||||||||
\(557\) | −15674.9 | − | 15674.9i | −1.19240 | − | 1.19240i | −0.976392 | − | 0.216007i | \(-0.930697\pi\) |
−0.216007 | − | 0.976392i | \(-0.569303\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 16955.0i | − | 1.28286i | ||||||
\(560\) | 13194.8 | − | 836.323i | 0.995681 | − | 0.0631091i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −367.080 | + | 367.080i | −0.0275522 | + | 0.0275522i | ||||
\(563\) | 8213.60 | − | 8213.60i | 0.614852 | − | 0.614852i | −0.329354 | − | 0.944206i | \(-0.606831\pi\) |
0.944206 | + | 0.329354i | \(0.106831\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −8226.41 | + | 521.414i | −0.612545 | + | 0.0388248i | ||||
\(566\) | − | 23235.3i | − | 1.72554i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2780.39 | − | 2780.39i | −0.205392 | − | 0.205392i | ||||
\(569\) | −16902.1 | −1.24530 | −0.622648 | − | 0.782502i | \(-0.713943\pi\) | ||||
−0.622648 | + | 0.782502i | \(0.713943\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6507.12 | 0.476908 | 0.238454 | − | 0.971154i | \(-0.423359\pi\) | ||||
0.238454 | + | 0.971154i | \(0.423359\pi\) | |||||||
\(572\) | 10469.6 | + | 10469.6i | 0.765305 | + | 0.765305i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | − | 14855.3i | − | 1.08022i | ||||||
\(575\) | 5558.57 | + | 4303.37i | 0.403145 | + | 0.312109i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7884.54 | − | 7884.54i | 0.568870 | − | 0.568870i | −0.362942 | − | 0.931812i | \(-0.618228\pi\) |
0.931812 | + | 0.362942i | \(0.118228\pi\) | |||||||
\(578\) | 6213.35 | − | 6213.35i | 0.447130 | − | 0.447130i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3834.97 | − | 4354.01i | 0.274549 | − | 0.311708i | ||||
\(581\) | 9913.20i | 0.707864i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6944.77 | − | 6944.77i | −0.493350 | − | 0.493350i | ||||
\(584\) | −5687.63 | −0.403007 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6524.39 | −0.459932 | ||||||||
\(587\) | 9548.44 | + | 9548.44i | 0.671390 | + | 0.671390i | 0.958037 | − | 0.286646i | \(-0.0925404\pi\) |
−0.286646 | + | 0.958037i | \(0.592540\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 25629.2i | 1.79293i | ||||||||
\(590\) | 732.969 | + | 11564.1i | 0.0511455 | + | 0.806930i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1462.57 | + | 1462.57i | −0.101539 | + | 0.101539i | ||||
\(593\) | 3491.97 | − | 3491.97i | 0.241818 | − | 0.241818i | −0.575784 | − | 0.817602i | \(-0.695303\pi\) |
0.817602 | + | 0.575784i | \(0.195303\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −11002.0 | − | 9690.48i | −0.758049 | − | 0.667682i | ||||
\(596\) | − | 8574.75i | − | 0.589321i | ||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 10029.9 | + | 10029.9i | 0.685876 | + | 0.685876i | ||||
\(599\) | 11203.0 | 0.764175 | 0.382087 | − | 0.924126i | \(-0.375205\pi\) | ||||
0.382087 | + | 0.924126i | \(0.375205\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −13953.5 | −0.947048 | −0.473524 | − | 0.880781i | \(-0.657018\pi\) | ||||
−0.473524 | + | 0.880781i | \(0.657018\pi\) | |||||||
\(602\) | 10038.0 | + | 10038.0i | 0.679598 | + | 0.679598i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | − | 16883.3i | − | 1.13737i | ||||||
\(605\) | 878.328 | + | 773.622i | 0.0590233 | + | 0.0519871i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −1292.54 | + | 1292.54i | −0.0864293 | + | 0.0864293i | −0.749000 | − | 0.662570i | \(-0.769466\pi\) |
0.662570 | + | 0.749000i | \(0.269466\pi\) | |||||||
\(608\) | −16936.7 | + | 16936.7i | −1.12972 | + | 1.12972i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1023.22 | − | 16143.4i | −0.0679160 | − | 1.07152i | ||||
\(611\) | 14027.3i | 0.928780i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 225.964 | + | 225.964i | 0.0148884 | + | 0.0148884i | 0.714512 | − | 0.699623i | \(-0.246649\pi\) |
−0.699623 | + | 0.714512i | \(0.746649\pi\) | |||||||
\(614\) | 38417.2 | 2.52507 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4870.41 | 0.318562 | ||||||||
\(617\) | 2717.41 | + | 2717.41i | 0.177308 | + | 0.177308i | 0.790181 | − | 0.612873i | \(-0.209986\pi\) |
−0.612873 | + | 0.790181i | \(0.709986\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 8870.55i | − | 0.575989i | −0.957632 | − | 0.287995i | \(-0.907011\pi\) | ||
0.957632 | − | 0.287995i | \(-0.0929886\pi\) | |||||||
\(620\) | −9918.04 | + | 11260.4i | −0.642448 | + | 0.729400i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −19632.7 | + | 19632.7i | −1.26559 | + | 1.26559i | ||||
\(623\) | 14829.3 | − | 14829.3i | 0.953650 | − | 0.953650i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −15126.8 | + | 3914.00i | −0.968118 | + | 0.250496i | ||||
\(626\) | 12876.5i | 0.822123i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 898.205 | + | 898.205i | 0.0570737 | + | 0.0570737i | ||||
\(629\) | 2293.65 | 0.145396 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 29762.7 | 1.87771 | 0.938853 | − | 0.344318i | \(-0.111890\pi\) | ||||
0.938853 | + | 0.344318i | \(0.111890\pi\) | |||||||
\(632\) | 7822.48 | + | 7822.48i | 0.492344 | + | 0.492344i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | − | 35254.2i | − | 2.20840i | ||||||
\(635\) | −12411.6 | + | 786.685i | −0.775654 | + | 0.0491632i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5142.61 | − | 5142.61i | 0.319871 | − | 0.319871i | ||||
\(638\) | 8974.65 | − | 8974.65i | 0.556912 | − | 0.556912i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 11472.3 | − | 727.145i | 0.708564 | − | 0.0449108i | ||||
\(641\) | − | 5168.75i | − | 0.318492i | −0.987239 | − | 0.159246i | \(-0.949094\pi\) | ||
0.987239 | − | 0.159246i | \(-0.0509063\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −2078.46 | − | 2078.46i | −0.127475 | − | 0.127475i | 0.640491 | − | 0.767966i | \(-0.278731\pi\) |
−0.767966 | + | 0.640491i | \(0.778731\pi\) | |||||||
\(644\) | −4963.13 | −0.303687 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 34700.0 | 2.11339 | ||||||||
\(647\) | 10765.7 | + | 10765.7i | 0.654164 | + | 0.654164i | 0.953993 | − | 0.299829i | \(-0.0969297\pi\) |
−0.299829 | + | 0.953993i | \(0.596930\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 10592.8i | 0.640684i | ||||||||
\(650\) | −31275.6 | + | 3980.67i | −1.88728 | + | 0.240207i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1374.37 | − | 1374.37i | 0.0825530 | − | 0.0825530i | ||||
\(653\) | 12815.1 | − | 12815.1i | 0.767984 | − | 0.767984i | −0.209767 | − | 0.977751i | \(-0.567271\pi\) |
0.977751 | + | 0.209767i | \(0.0672707\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3313.31 | + | 3761.75i | −0.197651 | + | 0.224402i | ||||
\(656\) | − | 20069.9i | − | 1.19451i | ||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −8304.68 | − | 8304.68i | −0.492022 | − | 0.492022i | ||||
\(659\) | −16634.8 | −0.983307 | −0.491654 | − | 0.870791i | \(-0.663607\pi\) | ||||
−0.491654 | + | 0.870791i | \(0.663607\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10835.6 | −0.637601 | −0.318800 | − | 0.947822i | \(-0.603280\pi\) | ||||
−0.318800 | + | 0.947822i | \(0.603280\pi\) | |||||||
\(662\) | 521.868 | + | 521.868i | 0.0306389 | + | 0.0306389i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 5396.92i | 0.315423i | ||||||||
\(665\) | −1191.86 | − | 18804.2i | −0.0695015 | − | 1.09653i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3593.07 | − | 3593.07i | 0.208582 | − | 0.208582i | ||||
\(668\) | 3889.27 | − | 3889.27i | 0.225270 | − | 0.225270i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 6617.58 | + | 5828.70i | 0.381581 | + | 0.336093i | ||||
\(671\) | − | 14787.4i | − | 0.850762i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16220.3 | − | 16220.3i | −0.929045 | − | 0.929045i | 0.0685992 | − | 0.997644i | \(-0.478147\pi\) |
−0.997644 | + | 0.0685992i | \(0.978147\pi\) | |||||||
\(674\) | −17347.3 | −0.991382 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −13967.4 | −0.794685 | ||||||||
\(677\) | −11196.6 | − | 11196.6i | −0.635626 | − | 0.635626i | 0.313847 | − | 0.949473i | \(-0.398382\pi\) |
−0.949473 | + | 0.313847i | \(0.898382\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 17065.0i | − | 0.964500i | ||||||
\(680\) | −5989.70 | − | 5275.66i | −0.337786 | − | 0.297518i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −23210.3 | + | 23210.3i | −1.30318 | + | 1.30318i | ||||
\(683\) | 15428.1 | − | 15428.1i | 0.864331 | − | 0.864331i | −0.127507 | − | 0.991838i | \(-0.540697\pi\) |
0.991838 | + | 0.127507i | \(0.0406975\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 950.276 | + | 14992.6i | 0.0530046 | + | 0.836261i | ||||
\(686\) | 25627.9i | 1.42635i | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 13561.6 | + | 13561.6i | 0.751501 | + | 0.751501i | ||||
\(689\) | 17635.2 | 0.975104 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 21858.6 | 1.20339 | 0.601693 | − | 0.798728i | \(-0.294493\pi\) | ||||
0.601693 | + | 0.798728i | \(0.294493\pi\) | |||||||
\(692\) | −2535.89 | − | 2535.89i | −0.139307 | − | 0.139307i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 12434.2i | 0.680112i | ||||||||
\(695\) | −833.087 | + | 945.841i | −0.0454688 | + | 0.0516227i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −15737.2 | + | 15737.2i | −0.855220 | + | 0.855220i | ||||
\(698\) | −21518.9 | + | 21518.9i | −1.16691 | + | 1.16691i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 6753.21 | − | 8722.98i | 0.364639 | − | 0.470996i | ||||
\(701\) | 8846.82i | 0.476662i | 0.971184 | + | 0.238331i | \(0.0766002\pi\) | ||||
−0.971184 | + | 0.238331i | \(0.923400\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2084.34 | + | 2084.34i | 0.111824 | + | 0.111824i | ||||
\(704\) | −7347.86 | −0.393371 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 35656.2 | 1.90076 | ||||||||
\(707\) | −1212.06 | − | 1212.06i | −0.0644755 | − | 0.0644755i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 23189.8i | 1.22837i | 0.789163 | + | 0.614184i | \(0.210515\pi\) | ||||
−0.789163 | + | 0.614184i | \(0.789485\pi\) | |||||||
\(710\) | −19443.3 | + | 1232.37i | −1.02774 | + | 0.0651410i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 8073.34 | − | 8073.34i | 0.424945 | − | 0.424945i | ||||
\(713\) | −9292.43 | + | 9292.43i | −0.488084 | + | 0.488084i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −28764.1 | + | 1823.15i | −1.50450 | + | 0.0953596i | ||||
\(716\) | − | 27133.9i | − | 1.41626i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −4661.21 | − | 4661.21i | −0.242277 | − | 0.242277i | ||||
\(719\) | −7005.29 | −0.363356 | −0.181678 | − | 0.983358i | \(-0.558153\pi\) | ||||
−0.181678 | + | 0.983358i | \(0.558153\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −301.661 | −0.0155818 | ||||||||
\(722\) | 13553.2 | + | 13553.2i | 0.698611 | + | 0.698611i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 8892.98i | − | 0.456498i | ||||||
\(725\) | 1426.02 | + | 11204.0i | 0.0730495 | + | 0.573941i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −16025.7 | + | 16025.7i | −0.817553 | + | 0.817553i | −0.985753 | − | 0.168200i | \(-0.946205\pi\) |
0.168200 | + | 0.985753i | \(0.446205\pi\) | |||||||
\(728\) | −6183.82 | + | 6183.82i | −0.314818 | + | 0.314818i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −18626.4 | + | 21147.3i | −0.944374 | + | 1.07219i | ||||
\(731\) | − | 21267.8i | − | 1.07609i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3319.43 | − | 3319.43i | −0.167266 | − | 0.167266i | 0.618511 | − | 0.785777i | \(-0.287736\pi\) |
−0.785777 | + | 0.618511i | \(0.787736\pi\) | |||||||
\(734\) | 24502.5 | 1.23216 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −12281.5 | −0.615084 | ||||||||
\(737\) | 5700.41 | + | 5700.41i | 0.284908 | + | 0.284908i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 19979.4i | − | 0.994526i | −0.867600 | − | 0.497263i | \(-0.834338\pi\) | ||
0.867600 | − | 0.497263i | \(-0.165662\pi\) | |||||||
\(740\) | 109.169 | + | 1722.37i | 0.00542314 | + | 0.0855616i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −10440.7 | + | 10440.7i | −0.516562 | + | 0.516562i | ||||
\(743\) | 14574.6 | − | 14574.6i | 0.719637 | − | 0.719637i | −0.248894 | − | 0.968531i | \(-0.580067\pi\) |
0.968531 | + | 0.248894i | \(0.0800670\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 12525.7 | + | 11032.5i | 0.615983 | + | 0.542552i | ||||
\(746\) | 30038.0i | 1.47422i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 13132.7 | + | 13132.7i | 0.641951 | + | 0.641951i | ||||
\(749\) | −16866.3 | −0.822807 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11620.1 | −0.564612 | −0.282306 | − | 0.959324i | \(-0.591099\pi\) | ||||
−0.282306 | + | 0.959324i | \(0.591099\pi\) | |||||||
\(752\) | −11219.9 | − | 11219.9i | −0.544079 | − | 0.544079i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 22789.7i | 1.10073i | ||||||||
\(755\) | 24662.6 | + | 21722.6i | 1.18883 | + | 1.04711i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10502.0 | − | 10502.0i | 0.504229 | − | 0.504229i | −0.408520 | − | 0.912749i | \(-0.633955\pi\) |
0.912749 | + | 0.408520i | \(0.133955\pi\) | |||||||
\(758\) | −403.390 | + | 403.390i | −0.0193296 | + | 0.0193296i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −648.871 | − | 10237.3i | −0.0309698 | − | 0.488614i | ||||
\(761\) | 36489.6i | 1.73817i | 0.494664 | + | 0.869085i | \(0.335291\pi\) | ||||
−0.494664 | + | 0.869085i | \(0.664709\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4461.01 | + | 4461.01i | 0.211664 | + | 0.211664i | ||||
\(764\) | 6264.50 | 0.296652 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −22532.3 | −1.06283 | ||||||||
\(767\) | −13449.4 | − | 13449.4i | −0.633154 | − | 0.633154i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 30323.9i | − | 1.42199i | −0.703198 | − | 0.710994i | \(-0.748245\pi\) | ||
0.703198 | − | 0.710994i | \(-0.251755\pi\) | |||||||
\(770\) | 15950.0 | − | 18108.8i | 0.746493 | − | 0.847527i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 16229.4 | − | 16229.4i | 0.756617 | − | 0.756617i | ||||
\(773\) | 10327.2 | − | 10327.2i | 0.480522 | − | 0.480522i | −0.424777 | − | 0.905298i | \(-0.639647\pi\) |
0.905298 | + | 0.424777i | \(0.139647\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3687.98 | − | 28976.0i | −0.170937 | − | 1.34303i | ||||
\(776\) | − | 9290.49i | − | 0.429780i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −20533.4 | − | 20533.4i | −0.946220 | − | 0.946220i | ||||
\(779\) | −28602.1 | −1.31550 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −17810.1 | −0.816000 | ||||||||
\(782\) | 12581.2 | + | 12581.2i | 0.575324 | + | 0.575324i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 8226.74i | 0.374760i | ||||||||
\(785\) | −2467.73 | + | 156.412i | −0.112200 | + | 0.00711157i | ||||
\(786\) |