Newspace parameters
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(13.2754297513\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | no (minimal twist has level 75) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 91.6 | ||
Character | \(\chi\) | \(=\) | 225.91 |
Dual form | 225.4.h.a.136.6 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.16070 | + | 2.29638i | 1.11748 | + | 0.811894i | 0.983825 | − | 0.179135i | \(-0.0573298\pi\) |
0.133651 | + | 0.991028i | \(0.457330\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 2.24451 | + | 6.90789i | 0.280564 | + | 0.863487i | ||||
\(5\) | 11.0852 | + | 1.45535i | 0.991492 | + | 0.130171i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 22.0918 | 1.19284 | 0.596422 | − | 0.802671i | \(-0.296589\pi\) | ||||
0.596422 | + | 0.802671i | \(0.296589\pi\) | |||||||
\(8\) | 0.889297 | − | 2.73697i | 0.0393017 | − | 0.120958i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 31.6950 | + | 30.0558i | 1.00228 | + | 0.950448i | ||||
\(11\) | −31.5999 | − | 22.9587i | −0.866158 | − | 0.629301i | 0.0633953 | − | 0.997988i | \(-0.479807\pi\) |
−0.929553 | + | 0.368688i | \(0.879807\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 55.3321 | − | 40.2012i | 1.18049 | − | 0.857676i | 0.188264 | − | 0.982119i | \(-0.439714\pi\) |
0.992227 | + | 0.124442i | \(0.0397141\pi\) | |||||||
\(14\) | 69.8255 | + | 50.7312i | 1.33297 | + | 0.968462i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 56.1056 | − | 40.7631i | 0.876650 | − | 0.636923i | ||||
\(17\) | −31.1744 | + | 95.9450i | −0.444759 | + | 1.36883i | 0.437988 | + | 0.898981i | \(0.355691\pi\) |
−0.882747 | + | 0.469848i | \(0.844309\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −29.0621 | + | 89.4438i | −0.350910 | + | 1.07999i | 0.607433 | + | 0.794371i | \(0.292199\pi\) |
−0.958343 | + | 0.285619i | \(0.907801\pi\) | |||||||
\(20\) | 14.8275 | + | 79.8420i | 0.165776 | + | 0.892661i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −47.1559 | − | 145.131i | −0.456985 | − | 1.40646i | ||||
\(23\) | −130.565 | − | 94.8612i | −1.18368 | − | 0.859997i | −0.191102 | − | 0.981570i | \(-0.561206\pi\) |
−0.992582 | + | 0.121573i | \(0.961206\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 120.764 | + | 32.2658i | 0.966111 | + | 0.258126i | ||||
\(26\) | 267.205 | 2.01551 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 49.5852 | + | 152.608i | 0.334669 | + | 1.03000i | ||||
\(29\) | 15.8462 | + | 48.7695i | 0.101468 | + | 0.312285i | 0.988885 | − | 0.148681i | \(-0.0475029\pi\) |
−0.887418 | + | 0.460966i | \(0.847503\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −80.4233 | + | 247.517i | −0.465950 | + | 1.43405i | 0.391834 | + | 0.920036i | \(0.371841\pi\) |
−0.857784 | + | 0.514011i | \(0.828159\pi\) | |||||||
\(32\) | 247.918 | 1.36957 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −318.859 | + | 231.665i | −1.60835 | + | 1.16854i | ||||
\(35\) | 244.892 | + | 32.1513i | 1.18269 | + | 0.155273i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 70.1129 | − | 50.9400i | 0.311527 | − | 0.226337i | −0.421025 | − | 0.907049i | \(-0.638329\pi\) |
0.732551 | + | 0.680712i | \(0.238329\pi\) | |||||||
\(38\) | −297.254 | + | 215.967i | −1.26897 | + | 0.921961i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 13.8413 | − | 29.0457i | 0.0547126 | − | 0.114813i | ||||
\(41\) | −42.4765 | + | 30.8610i | −0.161798 | + | 0.117553i | −0.665738 | − | 0.746185i | \(-0.731883\pi\) |
0.503940 | + | 0.863739i | \(0.331883\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −53.3748 | −0.189293 | −0.0946463 | − | 0.995511i | \(-0.530172\pi\) | ||||
−0.0946463 | + | 0.995511i | \(0.530172\pi\) | |||||||
\(44\) | 87.6698 | − | 269.820i | 0.300380 | − | 0.924475i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −194.840 | − | 599.656i | −0.624512 | − | 1.92205i | ||||
\(47\) | −74.7809 | − | 230.152i | −0.232083 | − | 0.714279i | −0.997495 | − | 0.0707380i | \(-0.977465\pi\) |
0.765412 | − | 0.643541i | \(-0.222535\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 145.047 | 0.422876 | ||||||||
\(50\) | 307.604 | + | 379.302i | 0.870035 | + | 1.07283i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 401.899 | + | 291.997i | 1.07179 | + | 0.778705i | ||||
\(53\) | −18.2798 | − | 56.2594i | −0.0473759 | − | 0.145808i | 0.924570 | − | 0.381012i | \(-0.124424\pi\) |
−0.971946 | + | 0.235204i | \(0.924424\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −316.879 | − | 300.491i | −0.776872 | − | 0.736695i | ||||
\(56\) | 19.6461 | − | 60.4646i | 0.0468808 | − | 0.144284i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −61.9084 | + | 190.534i | −0.140155 | + | 0.431352i | ||||
\(59\) | −524.396 | + | 380.996i | −1.15713 | + | 0.840703i | −0.989412 | − | 0.145132i | \(-0.953639\pi\) |
−0.167716 | + | 0.985835i | \(0.553639\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −530.204 | − | 385.216i | −1.11288 | − | 0.808555i | −0.129765 | − | 0.991545i | \(-0.541422\pi\) |
−0.983115 | + | 0.182990i | \(0.941422\pi\) | |||||||
\(62\) | −822.588 | + | 597.645i | −1.68498 | + | 1.22421i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 334.749 | + | 243.209i | 0.653807 | + | 0.475018i | ||||
\(65\) | 671.875 | − | 365.111i | 1.28209 | − | 0.696714i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 240.635 | − | 740.598i | 0.438779 | − | 1.35042i | −0.450384 | − | 0.892835i | \(-0.648713\pi\) |
0.889164 | − | 0.457589i | \(-0.151287\pi\) | |||||||
\(68\) | −732.749 | −1.30675 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 700.198 | + | 663.986i | 1.19557 | + | 1.13374i | ||||
\(71\) | −69.2398 | − | 213.098i | −0.115736 | − | 0.356199i | 0.876364 | − | 0.481650i | \(-0.159962\pi\) |
−0.992100 | + | 0.125451i | \(0.959962\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −281.749 | − | 204.703i | −0.451729 | − | 0.328200i | 0.338549 | − | 0.940949i | \(-0.390064\pi\) |
−0.790278 | + | 0.612748i | \(0.790064\pi\) | |||||||
\(74\) | 338.583 | 0.531886 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −683.098 | −1.03101 | ||||||||
\(77\) | −698.099 | − | 507.198i | −1.03319 | − | 0.750657i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 49.9257 | + | 153.655i | 0.0711022 | + | 0.218830i | 0.980293 | − | 0.197550i | \(-0.0632985\pi\) |
−0.909191 | + | 0.416380i | \(0.863299\pi\) | |||||||
\(80\) | 681.267 | − | 370.214i | 0.952099 | − | 0.517390i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −205.124 | −0.276246 | ||||||||
\(83\) | 12.3245 | − | 37.9308i | 0.0162986 | − | 0.0501620i | −0.942576 | − | 0.333991i | \(-0.891605\pi\) |
0.958875 | + | 0.283829i | \(0.0916047\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −485.209 | + | 1018.20i | −0.619156 | + | 1.29929i | ||||
\(86\) | −168.702 | − | 122.569i | −0.211530 | − | 0.153685i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −90.9391 | + | 66.0711i | −0.110161 | + | 0.0800364i | ||||
\(89\) | −375.213 | − | 272.608i | −0.446882 | − | 0.324679i | 0.341481 | − | 0.939889i | \(-0.389071\pi\) |
−0.788364 | + | 0.615210i | \(0.789071\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1222.39 | − | 888.115i | 1.40814 | − | 1.02307i | ||||
\(92\) | 362.236 | − | 1114.85i | 0.410497 | − | 1.26338i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 292.157 | − | 899.167i | 0.320571 | − | 0.986617i | ||||
\(95\) | −452.331 | + | 949.208i | −0.488508 | + | 1.02512i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 177.512 | + | 546.326i | 0.185810 | + | 0.571866i | 0.999961 | − | 0.00878766i | \(-0.00279724\pi\) |
−0.814151 | + | 0.580653i | \(0.802797\pi\) | |||||||
\(98\) | 458.449 | + | 333.082i | 0.472554 | + | 0.343331i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 48.1674 | + | 906.645i | 0.0481674 | + | 0.906645i | ||||
\(101\) | 1074.69 | 1.05877 | 0.529383 | − | 0.848383i | \(-0.322423\pi\) | ||||
0.529383 | + | 0.848383i | \(0.322423\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 288.232 | + | 887.086i | 0.275731 | + | 0.848613i | 0.989025 | + | 0.147748i | \(0.0472025\pi\) |
−0.713294 | + | 0.700865i | \(0.752797\pi\) | |||||||
\(104\) | −60.8228 | − | 187.193i | −0.0573478 | − | 0.176498i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 71.4162 | − | 219.797i | 0.0654392 | − | 0.201401i | ||||
\(107\) | 1102.95 | 0.996511 | 0.498255 | − | 0.867030i | \(-0.333974\pi\) | ||||
0.498255 | + | 0.867030i | \(0.333974\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1186.41 | − | 861.976i | 1.04254 | − | 0.757453i | 0.0717636 | − | 0.997422i | \(-0.477137\pi\) |
0.970781 | + | 0.239969i | \(0.0771373\pi\) | |||||||
\(110\) | −311.517 | − | 1677.44i | −0.270018 | − | 1.45398i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1239.47 | − | 900.529i | 1.04571 | − | 0.759750i | ||||
\(113\) | −1253.89 | + | 911.005i | −1.04386 | + | 0.758408i | −0.971035 | − | 0.238936i | \(-0.923201\pi\) |
−0.0728243 | + | 0.997345i | \(0.523201\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1309.29 | − | 1241.58i | −1.06167 | − | 1.00676i | ||||
\(116\) | −301.327 | + | 218.927i | −0.241186 | + | 0.175232i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2532.37 | −1.97563 | ||||||||
\(119\) | −688.699 | + | 2119.60i | −0.530528 | + | 1.63280i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 60.1524 | + | 185.130i | 0.0451934 | + | 0.139091i | ||||
\(122\) | −791.213 | − | 2435.10i | −0.587156 | − | 1.80708i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1890.33 | −1.36901 | ||||||||
\(125\) | 1291.74 | + | 533.427i | 0.924291 | + | 0.381689i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −786.360 | − | 571.324i | −0.549434 | − | 0.399187i | 0.278143 | − | 0.960540i | \(-0.410281\pi\) |
−0.827577 | + | 0.561352i | \(0.810281\pi\) | |||||||
\(128\) | −113.347 | − | 348.848i | −0.0782703 | − | 0.240891i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2962.03 | + | 388.878i | 1.99836 | + | 0.262360i | ||||
\(131\) | 360.986 | − | 1111.00i | 0.240760 | − | 0.740982i | −0.755545 | − | 0.655096i | \(-0.772628\pi\) |
0.996305 | − | 0.0858855i | \(-0.0273719\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −642.032 | + | 1975.97i | −0.418581 | + | 1.28826i | ||||
\(134\) | 2461.27 | − | 1788.22i | 1.58673 | − | 1.15282i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 234.876 | + | 170.647i | 0.148091 | + | 0.107595i | ||||
\(137\) | 867.865 | − | 630.541i | 0.541217 | − | 0.393217i | −0.283320 | − | 0.959025i | \(-0.591436\pi\) |
0.824537 | + | 0.565808i | \(0.191436\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 276.953 | + | 201.218i | 0.168999 | + | 0.122785i | 0.669070 | − | 0.743200i | \(-0.266693\pi\) |
−0.500071 | + | 0.865984i | \(0.666693\pi\) | |||||||
\(140\) | 327.565 | + | 1763.85i | 0.197745 | + | 1.06480i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 270.509 | − | 832.540i | 0.159863 | − | 0.492009i | ||||
\(143\) | −2671.46 | −1.56223 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 104.681 | + | 563.682i | 0.0599539 | + | 0.322836i | ||||
\(146\) | −420.448 | − | 1294.01i | −0.238333 | − | 0.733512i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 509.257 | + | 369.997i | 0.282842 | + | 0.205497i | ||||
\(149\) | −1268.97 | −0.697704 | −0.348852 | − | 0.937178i | \(-0.613428\pi\) | ||||
−0.348852 | + | 0.937178i | \(0.613428\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1863.93 | −1.00453 | −0.502266 | − | 0.864713i | \(-0.667500\pi\) | ||||
−0.502266 | + | 0.864713i | \(0.667500\pi\) | |||||||
\(152\) | 218.961 | + | 159.084i | 0.116842 | + | 0.0848910i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1041.76 | − | 3206.20i | −0.545112 | − | 1.67768i | ||||
\(155\) | −1251.73 | + | 2626.74i | −0.648656 | + | 1.36119i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1891.87 | −0.961705 | −0.480852 | − | 0.876802i | \(-0.659673\pi\) | ||||
−0.480852 | + | 0.876802i | \(0.659673\pi\) | |||||||
\(158\) | −195.051 | + | 600.307i | −0.0982118 | + | 0.302265i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2748.22 | + | 360.808i | 1.35791 | + | 0.178277i | ||||
\(161\) | −2884.42 | − | 2095.65i | −1.41195 | − | 1.02584i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2559.85 | + | 1859.84i | −1.23008 | + | 0.893705i | −0.996896 | − | 0.0787280i | \(-0.974914\pi\) |
−0.233183 | + | 0.972433i | \(0.574914\pi\) | |||||||
\(164\) | −308.524 | − | 224.155i | −0.146900 | − | 0.106729i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 126.057 | − | 91.5861i | 0.0589395 | − | 0.0428220i | ||||
\(167\) | −1089.41 | + | 3352.87i | −0.504798 | + | 1.55361i | 0.296312 | + | 0.955091i | \(0.404243\pi\) |
−0.801110 | + | 0.598517i | \(0.795757\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 766.603 | − | 2359.36i | 0.348932 | − | 1.07390i | ||||
\(170\) | −3871.78 | + | 2104.00i | −1.74678 | + | 0.949233i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −119.800 | − | 368.707i | −0.0531086 | − | 0.163452i | ||||
\(173\) | 3140.81 | + | 2281.93i | 1.38030 | + | 1.00285i | 0.996852 | + | 0.0792825i | \(0.0252629\pi\) |
0.383446 | + | 0.923563i | \(0.374737\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2667.89 | + | 712.808i | 1.15242 | + | 0.307904i | ||||
\(176\) | −2708.80 | −1.16013 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −559.923 | − | 1723.27i | −0.235775 | − | 0.725641i | ||||
\(179\) | −154.209 | − | 474.606i | −0.0643917 | − | 0.198177i | 0.913685 | − | 0.406424i | \(-0.133224\pi\) |
−0.978076 | + | 0.208247i | \(0.933224\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1375.55 | + | 4233.49i | −0.564881 | + | 1.73853i | 0.103422 | + | 0.994638i | \(0.467021\pi\) |
−0.668304 | + | 0.743888i | \(0.732979\pi\) | |||||||
\(182\) | 5903.04 | 2.40419 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −375.744 | + | 272.994i | −0.150545 | + | 0.109377i | ||||
\(185\) | 851.352 | − | 462.642i | 0.338339 | − | 0.183860i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3187.88 | − | 2316.13i | 1.24664 | − | 0.905734i | ||||
\(188\) | 1422.02 | − | 1033.16i | 0.551656 | − | 0.400802i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3609.43 | + | 1961.44i | −1.37819 | + | 0.748934i | ||||
\(191\) | 3212.06 | − | 2333.70i | 1.21684 | − | 0.884088i | 0.221008 | − | 0.975272i | \(-0.429065\pi\) |
0.995834 | + | 0.0911844i | \(0.0290653\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3115.35 | 1.16190 | 0.580952 | − | 0.813938i | \(-0.302680\pi\) | ||||
0.580952 | + | 0.813938i | \(0.302680\pi\) | |||||||
\(194\) | −693.510 | + | 2134.41i | −0.256655 | + | 0.789904i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 325.559 | + | 1001.97i | 0.118644 | + | 0.365148i | ||||
\(197\) | 445.849 | + | 1372.18i | 0.161246 | + | 0.496263i | 0.998740 | − | 0.0501827i | \(-0.0159804\pi\) |
−0.837494 | + | 0.546446i | \(0.815980\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2015.36 | −0.717916 | −0.358958 | − | 0.933354i | \(-0.616868\pi\) | ||||
−0.358958 | + | 0.933354i | \(0.616868\pi\) | |||||||
\(200\) | 195.706 | − | 301.834i | 0.0691924 | − | 0.106714i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3396.76 | + | 2467.89i | 1.18315 | + | 0.859606i | ||||
\(203\) | 350.070 | + | 1077.40i | 0.121035 | + | 0.372507i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −515.775 | + | 280.283i | −0.175723 | + | 0.0954916i | ||||
\(206\) | −1126.07 | + | 3465.70i | −0.380861 | + | 1.17217i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1465.72 | − | 4511.02i | 0.488602 | − | 1.50376i | ||||
\(209\) | 2971.87 | − | 2159.19i | 0.983582 | − | 0.714614i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 192.025 | + | 139.514i | 0.0626517 | + | 0.0455192i | 0.618670 | − | 0.785651i | \(-0.287672\pi\) |
−0.556019 | + | 0.831170i | \(0.687672\pi\) | |||||||
\(212\) | 347.605 | − | 252.550i | 0.112611 | − | 0.0818169i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3486.11 | + | 2532.80i | 1.11358 | + | 0.809061i | ||||
\(215\) | −591.671 | − | 77.6791i | −0.187682 | − | 0.0246403i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1776.69 | + | 5468.10i | −0.555806 | + | 1.71059i | ||||
\(218\) | 5729.31 | 1.77999 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1364.52 | − | 2863.42i | 0.418164 | − | 0.877508i | ||||
\(221\) | 2132.15 | + | 6562.09i | 0.648978 | + | 1.99735i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 236.890 | + | 172.111i | 0.0711361 | + | 0.0516834i | 0.622785 | − | 0.782393i | \(-0.286001\pi\) |
−0.551649 | + | 0.834076i | \(0.686001\pi\) | |||||||
\(224\) | 5476.95 | 1.63368 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6055.19 | −1.78223 | ||||||||
\(227\) | 172.374 | + | 125.237i | 0.0504003 | + | 0.0366180i | 0.612700 | − | 0.790315i | \(-0.290083\pi\) |
−0.562300 | + | 0.826933i | \(0.690083\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1001.94 | − | 3083.67i | −0.289128 | − | 0.889845i | −0.985131 | − | 0.171806i | \(-0.945040\pi\) |
0.696003 | − | 0.718039i | \(-0.254960\pi\) | |||||||
\(230\) | −1287.13 | − | 6930.87i | −0.369004 | − | 1.98699i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 147.573 | 0.0417613 | ||||||||
\(233\) | 1229.34 | − | 3783.53i | 0.345652 | − | 1.06381i | −0.615582 | − | 0.788073i | \(-0.711079\pi\) |
0.961234 | − | 0.275735i | \(-0.0889211\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −494.010 | − | 2660.12i | −0.137131 | − | 0.738412i | ||||
\(236\) | −3808.89 | − | 2767.32i | −1.05058 | − | 0.763294i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −7044.17 | + | 5117.89i | −1.91851 | + | 1.39388i | ||||
\(239\) | −3905.56 | − | 2837.55i | −1.05703 | − | 0.767975i | −0.0834914 | − | 0.996508i | \(-0.526607\pi\) |
−0.973536 | + | 0.228533i | \(0.926607\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1630.46 | − | 1184.60i | 0.435798 | − | 0.316625i | −0.348165 | − | 0.937433i | \(-0.613195\pi\) |
0.783963 | + | 0.620808i | \(0.213195\pi\) | |||||||
\(242\) | −235.006 | + | 723.273i | −0.0624245 | + | 0.192123i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1470.98 | − | 4527.21i | 0.385942 | − | 1.18781i | ||||
\(245\) | 1607.87 | + | 211.094i | 0.419278 | + | 0.0550461i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1987.68 | + | 6117.45i | 0.512036 | + | 1.57589i | ||||
\(248\) | 605.929 | + | 440.233i | 0.155147 | + | 0.112721i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2857.84 | + | 4652.32i | 0.722981 | + | 1.17695i | ||||
\(251\) | 278.293 | 0.0699830 | 0.0349915 | − | 0.999388i | \(-0.488860\pi\) | ||||
0.0349915 | + | 0.999388i | \(0.488860\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1947.96 | + | 5995.22i | 0.484061 | + | 1.48979i | ||||
\(254\) | −1173.47 | − | 3611.57i | −0.289882 | − | 0.892165i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1465.73 | − | 4511.06i | 0.357845 | − | 1.10133i | ||||
\(257\) | 2149.20 | 0.521647 | 0.260823 | − | 0.965387i | \(-0.416006\pi\) | ||||
0.260823 | + | 0.965387i | \(0.416006\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1548.92 | − | 1125.36i | 0.371603 | − | 0.269985i | ||||
\(260\) | 4030.18 | + | 3821.75i | 0.961311 | + | 0.911595i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3692.25 | − | 2682.58i | 0.870641 | − | 0.632558i | ||||
\(263\) | −5778.91 | + | 4198.62i | −1.35492 | + | 0.984404i | −0.356165 | + | 0.934423i | \(0.615916\pi\) |
−0.998750 | + | 0.0499805i | \(0.984084\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −120.758 | − | 650.251i | −0.0279929 | − | 0.150734i | ||||
\(266\) | −6566.86 | + | 4771.10i | −1.51368 | + | 1.09976i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5656.08 | 1.28918 | ||||||||
\(269\) | −273.812 | + | 842.706i | −0.0620617 | + | 0.191006i | −0.977280 | − | 0.211952i | \(-0.932018\pi\) |
0.915218 | + | 0.402958i | \(0.132018\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −238.067 | − | 732.696i | −0.0533637 | − | 0.164237i | 0.920823 | − | 0.389981i | \(-0.127519\pi\) |
−0.974187 | + | 0.225745i | \(0.927519\pi\) | |||||||
\(272\) | 2161.96 | + | 6653.82i | 0.481941 | + | 1.48326i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4191.02 | 0.924047 | ||||||||
\(275\) | −3075.35 | − | 3792.18i | −0.674366 | − | 0.831552i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6061.62 | + | 4404.02i | 1.31483 | + | 0.955278i | 0.999981 | + | 0.00613595i | \(0.00195315\pi\) |
0.314847 | + | 0.949142i | \(0.398047\pi\) | |||||||
\(278\) | 413.291 | + | 1271.98i | 0.0891639 | + | 0.274418i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 305.779 | − | 641.671i | 0.0652635 | − | 0.136954i | ||||
\(281\) | −678.424 | + | 2087.98i | −0.144026 | + | 0.443267i | −0.996884 | − | 0.0788752i | \(-0.974867\pi\) |
0.852858 | + | 0.522143i | \(0.174867\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1728.33 | − | 5319.25i | 0.363033 | − | 1.11730i | −0.588170 | − | 0.808737i | \(-0.700151\pi\) |
0.951203 | − | 0.308564i | \(-0.0998485\pi\) | |||||||
\(284\) | 1316.65 | − | 956.602i | 0.275101 | − | 0.199873i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −8443.67 | − | 6134.69i | −1.74575 | − | 1.26836i | ||||
\(287\) | −938.382 | + | 681.775i | −0.193000 | + | 0.140223i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4258.90 | − | 3094.27i | −0.866864 | − | 0.629814i | ||||
\(290\) | −963.562 | + | 2022.02i | −0.195111 | + | 0.409437i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 781.675 | − | 2405.75i | 0.156658 | − | 0.482143i | ||||
\(293\) | 2905.73 | 0.579367 | 0.289684 | − | 0.957122i | \(-0.406450\pi\) | ||||
0.289684 | + | 0.957122i | \(0.406450\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6367.53 | + | 3460.24i | −1.25672 | + | 0.682926i | ||||
\(296\) | −77.0703 | − | 237.198i | −0.0151339 | − | 0.0465772i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −4010.83 | − | 2914.04i | −0.779667 | − | 0.566461i | ||||
\(299\) | −11038.0 | −2.13493 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1179.14 | −0.225796 | ||||||||
\(302\) | −5891.32 | − | 4280.29i | −1.12254 | − | 0.815573i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2015.46 | + | 6202.96i | 0.380246 | + | 1.17028i | ||||
\(305\) | −5316.80 | − | 5041.83i | −0.998161 | − | 0.946540i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1896.85 | −0.352635 | −0.176317 | − | 0.984333i | \(-0.556419\pi\) | ||||
−0.176317 | + | 0.984333i | \(0.556419\pi\) | |||||||
\(308\) | 1936.78 | − | 5960.80i | 0.358306 | − | 1.10275i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −9988.35 | + | 5427.87i | −1.83000 | + | 0.994459i | ||||
\(311\) | 7137.00 | + | 5185.33i | 1.30129 | + | 0.945444i | 0.999967 | − | 0.00807744i | \(-0.00257116\pi\) |
0.301325 | + | 0.953522i | \(0.402571\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6034.71 | − | 4384.47i | 1.08978 | − | 0.791774i | 0.110420 | − | 0.993885i | \(-0.464780\pi\) |
0.979363 | + | 0.202111i | \(0.0647803\pi\) | |||||||
\(314\) | −5979.63 | − | 4344.46i | −1.07468 | − | 0.780802i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −949.376 | + | 689.762i | −0.169008 | + | 0.122792i | ||||
\(317\) | 1742.87 | − | 5364.01i | 0.308799 | − | 0.950387i | −0.669433 | − | 0.742873i | \(-0.733463\pi\) |
0.978232 | − | 0.207514i | \(-0.0665372\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 618.946 | − | 1904.92i | 0.108634 | − | 0.334342i | ||||
\(320\) | 3356.81 | + | 3183.21i | 0.586410 | + | 0.556083i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −4304.36 | − | 13247.5i | −0.744946 | − | 2.29271i | ||||
\(323\) | −7675.70 | − | 5576.72i | −1.32225 | − | 0.960672i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7979.25 | − | 3069.51i | 1.36187 | − | 0.523895i | ||||
\(326\) | −12361.8 | −2.10018 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 46.6915 | + | 143.702i | 0.00786009 | + | 0.0241909i | ||||
\(329\) | −1652.04 | − | 5084.47i | −0.276839 | − | 0.852023i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1361.95 | − | 4191.66i | 0.226162 | − | 0.696055i | −0.772010 | − | 0.635611i | \(-0.780748\pi\) |
0.998172 | − | 0.0604442i | \(-0.0192517\pi\) | |||||||
\(332\) | 289.684 | 0.0478870 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −11142.8 | + | 8095.69i | −1.82546 | + | 1.32628i | ||||
\(335\) | 3745.32 | − | 7859.48i | 0.610832 | − | 1.28182i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3620.77 | + | 2630.64i | −0.585269 | + | 0.425223i | −0.840620 | − | 0.541626i | \(-0.817809\pi\) |
0.255351 | + | 0.966848i | \(0.417809\pi\) | |||||||
\(338\) | 7841.00 | − | 5696.82i | 1.26182 | − | 0.916763i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −8122.68 | − | 1066.41i | −1.29563 | − | 0.170100i | ||||
\(341\) | 8224.05 | − | 5975.12i | 1.30603 | − | 0.948888i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4373.14 | −0.688418 | ||||||||
\(344\) | −47.4660 | + | 146.085i | −0.00743952 | + | 0.0228965i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4686.97 | + | 14425.0i | 0.728246 | + | 2.24131i | ||||
\(347\) | 216.151 | + | 665.244i | 0.0334397 | + | 0.102917i | 0.966383 | − | 0.257106i | \(-0.0827689\pi\) |
−0.932944 | + | 0.360023i | \(0.882769\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7119.97 | −1.09204 | −0.546022 | − | 0.837771i | \(-0.683858\pi\) | ||||
−0.546022 | + | 0.837771i | \(0.683858\pi\) | |||||||
\(350\) | 6795.51 | + | 8379.46i | 1.03782 | + | 1.27972i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −7834.19 | − | 5691.87i | −1.18626 | − | 0.861868i | ||||
\(353\) | 1094.30 | + | 3367.90i | 0.164996 | + | 0.507806i | 0.999036 | − | 0.0438984i | \(-0.0139778\pi\) |
−0.834040 | + | 0.551704i | \(0.813978\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −457.405 | − | 2463.01i | −0.0683846 | − | 0.368233i | ||||
\(356\) | 1040.98 | − | 3203.80i | 0.154977 | − | 0.476970i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 602.470 | − | 1854.21i | 0.0889428 | − | 0.273738i | ||||
\(359\) | 9430.47 | − | 6851.64i | 1.38641 | − | 1.00729i | 0.390161 | − | 0.920747i | \(-0.372419\pi\) |
0.996248 | − | 0.0865388i | \(-0.0275807\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1606.55 | − | 1167.22i | −0.234224 | − | 0.170174i | ||||
\(362\) | −14069.4 | + | 10222.0i | −2.04274 | + | 1.48414i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 8878.66 | + | 6450.72i | 1.27848 | + | 0.928873i | ||||
\(365\) | −2825.33 | − | 2679.22i | −0.405164 | − | 0.384210i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 22.7126 | − | 69.9022i | 0.00323048 | − | 0.00994241i | −0.949428 | − | 0.313984i | \(-0.898336\pi\) |
0.952659 | + | 0.304042i | \(0.0983362\pi\) | |||||||
\(368\) | −11192.3 | −1.58543 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3753.27 | + | 492.758i | 0.527360 | + | 0.0692359i | ||||
\(371\) | −403.833 | − | 1242.87i | −0.0565121 | − | 0.173926i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2082.90 | − | 1513.32i | −0.289139 | − | 0.210071i | 0.433755 | − | 0.901031i | \(-0.357188\pi\) |
−0.722894 | + | 0.690959i | \(0.757188\pi\) | |||||||
\(374\) | 15394.7 | 2.12845 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −696.422 | −0.0955193 | ||||||||
\(377\) | 2837.39 | + | 2061.48i | 0.387621 | + | 0.281623i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.7531 | + | 57.7162i | 0.00254164 | + | 0.00782238i | 0.952319 | − | 0.305103i | \(-0.0986910\pi\) |
−0.949778 | + | 0.312926i | \(0.898691\pi\) | |||||||
\(380\) | −7572.29 | − | 994.148i | −1.02224 | − | 0.134207i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 15511.4 | 2.07758 | ||||||||
\(383\) | −1174.60 | + | 3615.05i | −0.156708 | + | 0.482299i | −0.998330 | − | 0.0577690i | \(-0.981601\pi\) |
0.841622 | + | 0.540068i | \(0.181601\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7000.42 | − | 6638.38i | −0.926687 | − | 0.878762i | ||||
\(386\) | 9846.67 | + | 7154.02i | 1.29840 | + | 0.943343i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3375.53 | + | 2452.47i | −0.441667 | + | 0.320890i | ||||
\(389\) | 7911.32 | + | 5747.91i | 1.03116 | + | 0.749179i | 0.968540 | − | 0.248858i | \(-0.0800554\pi\) |
0.0626169 | + | 0.998038i | \(0.480055\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 13171.8 | − | 9569.84i | 1.70364 | − | 1.23777i | ||||
\(392\) | 128.989 | − | 396.989i | 0.0166198 | − | 0.0511504i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1741.86 | + | 5360.89i | −0.222725 | + | 0.685477i | ||||
\(395\) | 329.814 | + | 1775.96i | 0.0420120 | + | 0.226224i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −4430.53 | − | 13635.8i | −0.560106 | − | 1.72383i | −0.682063 | − | 0.731294i | \(-0.738917\pi\) |
0.121957 | − | 0.992535i | \(-0.461083\pi\) | |||||||
\(398\) | −6369.95 | − | 4628.04i | −0.802253 | − | 0.582871i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 8090.78 | − | 3112.42i | 1.01135 | − | 0.389052i | ||||
\(401\) | −2086.59 | −0.259849 | −0.129924 | − | 0.991524i | \(-0.541473\pi\) | ||||
−0.129924 | + | 0.991524i | \(0.541473\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5500.49 | + | 16928.8i | 0.679899 | + | 2.09251i | ||||
\(404\) | 2412.15 | + | 7423.83i | 0.297052 | + | 0.914231i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1367.67 | + | 4209.24i | −0.167183 | + | 0.514535i | ||||
\(407\) | −3385.08 | −0.412266 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 338.014 | − | 245.582i | 0.0408649 | − | 0.0296901i | −0.567165 | − | 0.823604i | \(-0.691960\pi\) |
0.608030 | + | 0.793914i | \(0.291960\pi\) | |||||||
\(410\) | −2273.85 | − | 298.528i | −0.273896 | − | 0.0359591i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −5480.95 | + | 3982.15i | −0.655406 | + | 0.476180i | ||||
\(413\) | −11584.8 | + | 8416.88i | −1.38027 | + | 1.00283i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 191.822 | − | 402.534i | 0.0226896 | − | 0.0476136i | ||||
\(416\) | 13717.8 | − | 9966.58i | 1.61676 | − | 1.17464i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 14351.5 | 1.67932 | ||||||||
\(419\) | 385.525 | − | 1186.52i | 0.0449502 | − | 0.138342i | −0.926063 | − | 0.377370i | \(-0.876829\pi\) |
0.971013 | + | 0.239027i | \(0.0768286\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3257.63 | + | 10026.0i | 0.377119 | + | 1.16065i | 0.942038 | + | 0.335507i | \(0.108908\pi\) |
−0.564919 | + | 0.825147i | \(0.691092\pi\) | |||||||
\(422\) | 286.554 | + | 881.924i | 0.0330551 | + | 0.101733i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −170.237 | −0.0194987 | ||||||||
\(425\) | −6860.49 | + | 10580.8i | −0.783018 | + | 1.20764i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −11713.2 | − | 8510.10i | −1.32749 | − | 0.964480i | ||||
\(428\) | 2475.59 | + | 7619.09i | 0.279585 | + | 0.860473i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1691.71 | − | 1604.22i | −0.189725 | − | 0.179913i | ||||
\(431\) | 2759.44 | − | 8492.68i | 0.308393 | − | 0.949137i | −0.669996 | − | 0.742365i | \(-0.733704\pi\) |
0.978389 | − | 0.206772i | \(-0.0662958\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 750.382 | − | 2309.44i | 0.0832819 | − | 0.256315i | −0.900741 | − | 0.434356i | \(-0.856976\pi\) |
0.984023 | + | 0.178041i | \(0.0569759\pi\) | |||||||
\(434\) | −18172.4 | + | 13203.1i | −2.00992 | + | 1.46029i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8617.34 | + | 6260.87i | 0.946550 | + | 0.687709i | ||||
\(437\) | 12279.2 | − | 8921.39i | 1.34416 | − | 0.976586i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7139.64 | + | 5187.25i | 0.776211 | + | 0.563950i | 0.903839 | − | 0.427872i | \(-0.140737\pi\) |
−0.127629 | + | 0.991822i | \(0.540737\pi\) | |||||||
\(440\) | −1104.24 | + | 600.064i | −0.119642 | + | 0.0650157i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −8329.98 | + | 25637.0i | −0.896418 | + | 2.75889i | ||||
\(443\) | 11494.3 | 1.23275 | 0.616377 | − | 0.787451i | \(-0.288600\pi\) | ||||
0.616377 | + | 0.787451i | \(0.288600\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3762.58 | − | 3567.99i | −0.400816 | − | 0.380087i | ||||
\(446\) | 353.506 | + | 1087.98i | 0.0375314 | + | 0.115510i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 7395.20 | + | 5372.93i | 0.779889 | + | 0.566623i | ||||
\(449\) | −1582.63 | −0.166345 | −0.0831727 | − | 0.996535i | \(-0.526505\pi\) | ||||
−0.0831727 | + | 0.996535i | \(0.526505\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2050.78 | 0.214119 | ||||||||
\(452\) | −9107.50 | − | 6616.98i | −0.947745 | − | 0.688577i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 257.230 | + | 791.673i | 0.0265912 | + | 0.0818394i | ||||
\(455\) | 14842.9 | − | 8065.94i | 1.52933 | − | 0.831071i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6765.77 | 0.692537 | 0.346269 | − | 0.938135i | \(-0.387449\pi\) | ||||
0.346269 | + | 0.938135i | \(0.387449\pi\) | |||||||
\(458\) | 3914.43 | − | 12047.4i | 0.399366 | − | 1.22912i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 5637.96 | − | 11831.1i | 0.571459 | − | 1.19920i | ||||
\(461\) | 9394.53 | + | 6825.53i | 0.949126 | + | 0.689580i | 0.950600 | − | 0.310419i | \(-0.100469\pi\) |
−0.00147406 | + | 0.999999i | \(0.500469\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3221.48 | − | 2340.54i | 0.323358 | − | 0.234934i | −0.414249 | − | 0.910164i | \(-0.635956\pi\) |
0.737607 | + | 0.675230i | \(0.235956\pi\) | |||||||
\(464\) | 2877.05 | + | 2090.30i | 0.287853 | + | 0.209137i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 12574.0 | − | 9135.55i | 1.24996 | − | 0.908147i | ||||
\(467\) | −3420.76 | + | 10528.0i | −0.338959 | + | 1.04321i | 0.625780 | + | 0.779999i | \(0.284781\pi\) |
−0.964739 | + | 0.263208i | \(0.915219\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5316.05 | − | 16361.1i | 0.523395 | − | 1.61085i | ||||
\(470\) | 4547.23 | − | 9542.26i | 0.446272 | − | 0.936493i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 576.433 | + | 1774.08i | 0.0562129 | + | 0.173005i | ||||
\(473\) | 1686.64 | + | 1225.42i | 0.163957 | + | 0.119122i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6395.62 | + | 9863.87i | −0.617792 | + | 0.952812i | ||||
\(476\) | −16187.7 | −1.55875 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −5828.19 | − | 17937.3i | −0.557688 | − | 1.71639i | ||||
\(479\) | 305.633 | + | 940.643i | 0.0291540 | + | 0.0897267i | 0.964575 | − | 0.263810i | \(-0.0849791\pi\) |
−0.935421 | + | 0.353536i | \(0.884979\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1831.65 | − | 5637.24i | 0.173630 | − | 0.534378i | ||||
\(482\) | 7873.69 | 0.744059 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1143.85 | + | 831.052i | −0.107424 | + | 0.0780477i | ||||
\(485\) | 1172.66 | + | 6314.48i | 0.109789 | + | 0.591187i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −9577.72 | + | 6958.62i | −0.891187 | + | 0.647485i | −0.936187 | − | 0.351502i | \(-0.885671\pi\) |
0.0450004 | + | 0.998987i | \(0.485671\pi\) | |||||||
\(488\) | −1525.83 | + | 1108.58i | −0.141540 | + | 0.102835i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4597.25 | + | 4359.49i | 0.423842 | + | 0.401922i | ||||
\(491\) | 10575.2 | − | 7683.33i | 0.971999 | − | 0.706199i | 0.0160929 | − | 0.999871i | \(-0.494877\pi\) |
0.955906 | + | 0.293672i | \(0.0948772\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5173.18 | −0.472593 | ||||||||
\(494\) | −7765.54 | + | 23899.9i | −0.707264 | + | 2.17673i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 5577.38 | + | 17165.4i | 0.504903 | + | 1.55393i | ||||
\(497\) | −1529.63 | − | 4707.72i | −0.138055 | − | 0.424889i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 107.268 | 0.00962323 | 0.00481162 | − | 0.999988i | \(-0.498468\pi\) | ||||
0.00481162 | + | 0.999988i | \(0.498468\pi\) | |||||||
\(500\) | −785.542 | + | 10120.5i | −0.0702610 | + | 0.905201i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 879.602 | + | 639.068i | 0.0782043 | + | 0.0568187i | ||||
\(503\) | 1599.76 | + | 4923.56i | 0.141809 | + | 0.436443i | 0.996587 | − | 0.0825511i | \(-0.0263068\pi\) |
−0.854778 | + | 0.518994i | \(0.826307\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 11913.1 | + | 1564.05i | 1.04976 | + | 0.137820i | ||||
\(506\) | −7610.38 | + | 23422.3i | −0.668622 | + | 2.05781i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2181.65 | − | 6714.43i | 0.190542 | − | 0.586427i | ||||
\(509\) | −4039.84 | + | 2935.11i | −0.351793 | + | 0.255593i | −0.749621 | − | 0.661868i | \(-0.769764\pi\) |
0.397828 | + | 0.917460i | \(0.369764\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6224.34 | − | 4522.24i | −0.538842 | − | 0.391492i | ||||
\(512\) | 12617.9 | − | 9167.42i | 1.08913 | − | 0.791302i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 6792.96 | + | 4935.38i | 0.582928 | + | 0.423522i | ||||
\(515\) | 1904.09 | + | 10253.0i | 0.162921 | + | 0.877285i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2920.92 | + | 8989.66i | −0.248475 | + | 0.764729i | ||||
\(518\) | 7479.91 | 0.634456 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −401.802 | − | 2163.60i | −0.0338849 | − | 0.182462i | ||||
\(521\) | −4258.29 | − | 13105.7i | −0.358079 | − | 1.10205i | −0.954203 | − | 0.299161i | \(-0.903293\pi\) |
0.596124 | − | 0.802893i | \(-0.296707\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −17345.4 | − | 12602.2i | −1.45021 | − | 1.05364i | −0.985781 | − | 0.168034i | \(-0.946258\pi\) |
−0.464433 | − | 0.885608i | \(-0.653742\pi\) | |||||||
\(524\) | 8484.91 | 0.707376 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −27907.0 | −2.31332 | ||||||||
\(527\) | −21240.9 | − | 15432.4i | −1.75573 | − | 1.27561i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4288.83 | + | 13199.7i | 0.352497 | + | 1.08487i | ||||
\(530\) | 1111.55 | − | 2332.56i | 0.0910990 | − | 0.191169i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −15090.9 | −1.22983 | ||||||||
\(533\) | −1109.67 | + | 3415.21i | −0.0901785 | + | 0.277541i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 12226.5 | + | 1605.19i | 0.988032 | + | 0.129716i | ||||
\(536\) | −1813.00 | − | 1317.22i | −0.146100 | − | 0.106148i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2800.61 | + | 2034.76i | −0.224429 | + | 0.163057i | ||||
\(539\) | −4583.46 | − | 3330.08i | −0.366278 | − | 0.266116i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 19412.5 | − | 14104.0i | 1.54272 | − | 1.12085i | 0.594113 | − | 0.804382i | \(-0.297503\pi\) |
0.948603 | − | 0.316467i | \(-0.102497\pi\) | |||||||
\(542\) | 930.091 | − | 2862.53i | 0.0737100 | − | 0.226856i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −7728.70 | + | 23786.5i | −0.609127 | + | 1.87470i | ||||
\(545\) | 14406.1 | − | 7828.55i | 1.13227 | − | 0.615299i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6911.76 | − | 21272.2i | −0.540266 | − | 1.66277i | −0.731987 | − | 0.681319i | \(-0.761407\pi\) |
0.191721 | − | 0.981450i | \(-0.438593\pi\) | |||||||
\(548\) | 6303.64 | + | 4579.86i | 0.491383 | + | 0.357011i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1011.97 | − | 19048.1i | −0.0784555 | − | 1.47675i | ||||
\(551\) | −4822.65 | −0.372871 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1102.95 | + | 3394.52i | 0.0848138 | + | 0.261030i | ||||
\(554\) | 9045.63 | + | 27839.6i | 0.693704 | + | 2.13500i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −768.369 | + | 2364.80i | −0.0586081 | + | 0.180377i | ||||
\(557\) | −5920.24 | −0.450357 | −0.225178 | − | 0.974318i | \(-0.572297\pi\) | ||||
−0.225178 | + | 0.974318i | \(0.572297\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2953.34 | + | 2145.73i | −0.223458 | + | 0.162352i | ||||
\(560\) | 15050.4 | − | 8178.69i | 1.13571 | − | 0.617165i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6939.08 | + | 5041.54i | −0.520832 | + | 0.378407i | ||||
\(563\) | −2602.59 | + | 1890.89i | −0.194824 | + | 0.141548i | −0.680921 | − | 0.732357i | \(-0.738420\pi\) |
0.486097 | + | 0.873905i | \(0.338420\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −15225.5 | + | 8273.83i | −1.13370 | + | 0.616076i | ||||
\(566\) | 17677.7 | − | 12843.6i | 1.31281 | − | 0.953813i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −644.819 | −0.0476338 | ||||||||
\(569\) | −1869.17 | + | 5752.70i | −0.137714 | + | 0.423841i | −0.996002 | − | 0.0893271i | \(-0.971528\pi\) |
0.858288 | + | 0.513168i | \(0.171528\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1450.75 | + | 4464.95i | 0.106326 | + | 0.327237i | 0.990039 | − | 0.140791i | \(-0.0449646\pi\) |
−0.883714 | + | 0.468028i | \(0.844965\pi\) | |||||||
\(572\) | −5996.11 | − | 18454.1i | −0.438304 | − | 1.34896i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −4531.56 | −0.329518 | ||||||||
\(575\) | −12706.8 | − | 15668.6i | −0.921583 | − | 1.13639i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 15913.7 | + | 11562.0i | 1.14817 | + | 0.834197i | 0.988237 | − | 0.152930i | \(-0.0488709\pi\) |
0.159937 | + | 0.987127i | \(0.448871\pi\) | |||||||
\(578\) | −6355.47 | − | 19560.1i | −0.457358 | − | 1.40760i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −3658.89 | + | 1988.32i | −0.261944 | + | 0.142345i | ||||
\(581\) | 272.269 | − | 837.958i | 0.0194417 | − | 0.0598354i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −714.003 | + | 2197.47i | −0.0507221 | + | 0.156107i | ||||
\(584\) | −810.824 | + | 589.098i | −0.0574523 | + | 0.0417415i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 9184.14 | + | 6672.67i | 0.647429 | + | 0.470384i | ||||
\(587\) | −8058.17 | + | 5854.60i | −0.566603 | + | 0.411661i | −0.833870 | − | 0.551961i | \(-0.813880\pi\) |
0.267266 | + | 0.963623i | \(0.413880\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −19801.6 | − | 14386.7i | −1.38525 | − | 1.00644i | ||||
\(590\) | −28071.9 | − | 3685.49i | −1.95882 | − | 0.257168i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1857.25 | − | 5716.04i | 0.128940 | − | 0.396837i | ||||
\(593\) | 24115.5 | 1.66999 | 0.834995 | − | 0.550257i | \(-0.185470\pi\) | ||||
0.834995 | + | 0.550257i | \(0.185470\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −10719.1 | + | 22493.9i | −0.738557 | + | 1.54985i | ||||
\(596\) | −2848.21 | − | 8765.89i | −0.195750 | − | 0.602458i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −34887.8 | − | 25347.4i | −2.38573 | − | 1.73333i | ||||
\(599\) | −13381.7 | −0.912790 | −0.456395 | − | 0.889777i | \(-0.650860\pi\) | ||||
−0.456395 | + | 0.889777i | \(0.650860\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 23840.2 | 1.61807 | 0.809037 | − | 0.587758i | \(-0.199989\pi\) | ||||
0.809037 | + | 0.587758i | \(0.199989\pi\) | |||||||
\(602\) | −3726.92 | − | 2707.76i | −0.252322 | − | 0.183323i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −4183.61 | − | 12875.8i | −0.281835 | − | 0.867400i | ||||
\(605\) | 397.373 | + | 2139.75i | 0.0267033 | + | 0.143790i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −17213.0 | −1.15100 | −0.575499 | − | 0.817803i | \(-0.695192\pi\) | ||||
−0.575499 | + | 0.817803i | \(0.695192\pi\) | |||||||
\(608\) | −7205.00 | + | 22174.7i | −0.480594 | + | 1.47912i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5226.83 | − | 28145.1i | −0.346932 | − | 1.86814i | ||||
\(611\) | −13390.2 | − | 9728.52i | −0.886593 | − | 0.644147i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6213.79 | + | 4514.58i | −0.409417 | + | 0.297459i | −0.773366 | − | 0.633960i | \(-0.781428\pi\) |
0.363949 | + | 0.931419i | \(0.381428\pi\) | |||||||
\(614\) | −5995.37 | − | 4355.89i | −0.394061 | − | 0.286302i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2009.01 | + | 1459.63i | −0.131404 | + | 0.0954709i | ||||
\(617\) | −5822.57 | + | 17920.0i | −0.379915 | + | 1.16926i | 0.560187 | + | 0.828366i | \(0.310729\pi\) |
−0.940102 | + | 0.340893i | \(0.889271\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −8736.42 | + | 26887.9i | −0.567280 | + | 1.74591i | 0.0937989 | + | 0.995591i | \(0.470099\pi\) |
−0.661079 | + | 0.750317i | \(0.729901\pi\) | |||||||
\(620\) | −20954.8 | − | 2751.10i | −1.35736 | − | 0.178205i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 10650.4 | + | 32778.5i | 0.686562 | + | 2.11302i | ||||
\(623\) | −8289.12 | − | 6022.40i | −0.533060 | − | 0.387291i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 13542.8 | + | 7793.08i | 0.866742 | + | 0.498757i | ||||
\(626\) | 29142.3 | 1.86064 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4246.32 | − | 13068.8i | −0.269820 | − | 0.830419i | ||||
\(629\) | 2701.71 | + | 8315.01i | 0.171263 | + | 0.527092i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −2799.20 | + | 8615.05i | −0.176600 | + | 0.543518i | −0.999703 | − | 0.0243738i | \(-0.992241\pi\) |
0.823103 | + | 0.567892i | \(0.192241\pi\) | |||||||
\(632\) | 464.950 | 0.0292638 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 17826.5 | − | 12951.7i | 1.11669 | − | 0.811322i | ||||
\(635\) | −7885.49 | − | 7477.68i | −0.492797 | − | 0.467311i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 8025.74 | − | 5831.04i | 0.499201 | − | 0.362691i | ||||
\(638\) | 6330.72 | − | 4599.54i | 0.392846 | − | 0.285419i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −748.785 | − | 4032.01i | −0.0462474 | − | 0.249030i | ||||
\(641\) | −6259.41 | + | 4547.73i | −0.385697 | + | 0.280225i | −0.763690 | − | 0.645583i | \(-0.776614\pi\) |
0.377993 | + | 0.925809i | \(0.376614\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 20694.2 | 1.26921 | 0.634604 | − | 0.772837i | \(-0.281163\pi\) | ||||
0.634604 | + | 0.772837i | \(0.281163\pi\) | |||||||
\(644\) | 8002.44 | − | 24629.0i | 0.489659 | − | 1.50701i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −11454.3 | − | 35252.7i | −0.697620 | − | 2.14705i | ||||
\(647\) | −2688.19 | − | 8273.39i | −0.163344 | − | 0.502721i | 0.835566 | − | 0.549389i | \(-0.185140\pi\) |
−0.998910 | + | 0.0466682i | \(0.985140\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 25318.1 | 1.53131 | ||||||||
\(650\) | 32268.8 | + | 8621.59i | 1.94721 | + | 0.520256i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −18593.2 | − | 13508.7i | −1.11682 | − | 0.811416i | ||||
\(653\) | −3741.70 | − | 11515.8i | −0.224233 | − | 0.690118i | −0.998369 | − | 0.0570980i | \(-0.981815\pi\) |
0.774136 | − | 0.633020i | \(-0.218185\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5618.51 | − | 11790.3i | 0.335165 | − | 0.703337i | ||||
\(656\) | −1125.18 | + | 3462.95i | −0.0669679 | + | 0.206106i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 6454.27 | − | 19864.2i | 0.382391 | − | 1.17688i | ||||
\(659\) | −1436.42 | + | 1043.62i | −0.0849091 | + | 0.0616901i | −0.629430 | − | 0.777057i | \(-0.716712\pi\) |
0.544521 | + | 0.838747i | \(0.316712\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9947.42 | + | 7227.23i | 0.585340 | + | 0.425275i | 0.840645 | − | 0.541586i | \(-0.182176\pi\) |
−0.255305 | + | 0.966861i | \(0.582176\pi\) | |||||||
\(662\) | 13930.4 | − | 10121.0i | 0.817853 | − | 0.594205i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −92.8555 | − | 67.4634i | −0.00542694 | − | 0.00394291i | ||||
\(665\) | −9992.80 | + | 20969.7i | −0.582713 | + | 1.22281i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2557.37 | − | 7870.78i | 0.148459 | − | 0.456908i | ||||
\(668\) | −25606.4 | −1.48315 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 29886.2 | − | 16240.8i | 1.72329 | − | 0.936470i | ||||
\(671\) | 7910.36 | + | 24345.6i | 0.455106 | + | 1.40067i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 23862.6 | + | 17337.2i | 1.36677 | + | 0.993016i | 0.997982 | + | 0.0635025i | \(0.0202271\pi\) |
0.368788 | + | 0.929514i | \(0.379773\pi\) | |||||||
\(674\) | −17485.1 | −0.999260 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 18018.9 | 1.02520 | ||||||||
\(677\) | 27342.4 | + | 19865.4i | 1.55222 | + | 1.12776i | 0.942043 | + | 0.335491i | \(0.108902\pi\) |
0.610178 | + | 0.792264i | \(0.291098\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3921.55 | + | 12069.3i | 0.221643 | + | 0.682146i | ||||
\(680\) | 2355.30 | + | 2233.49i | 0.132826 | + | 0.125956i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 39714.9 | 2.22986 | ||||||||
\(683\) | 659.833 | − | 2030.76i | 0.0369661 | − | 0.113770i | −0.930871 | − | 0.365349i | \(-0.880950\pi\) |
0.967837 | + | 0.251579i | \(0.0809498\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10538.1 | − | 5726.63i | 0.587797 | − | 0.319421i | ||||
\(686\) | −13822.2 | − | 10042.4i | −0.769291 | − | 0.558923i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2994.62 | + | 2175.72i | −0.165943 | + | 0.120565i | ||||
\(689\) | −3273.16 | − | 2378.09i | −0.180983 | − | 0.131492i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −17933.3 | + | 13029.3i | −0.987285 | + | 0.717305i | −0.959325 | − | 0.282304i | \(-0.908901\pi\) |
−0.0279602 | + | 0.999609i | \(0.508901\pi\) | |||||||
\(692\) | −8713.77 | + | 26818.2i | −0.478682 | + | 1.47323i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −844.467 | + | 2599.00i | −0.0461895 | + | 0.142157i | ||||
\(695\) | 2777.24 | + | 2633.61i | 0.151578 | + | 0.143739i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1636.78 | − | 5037.49i | −0.0889489 | − | 0.273757i | ||||
\(698\) | −22504.1 | − | 16350.2i | −1.22033 | − | 0.886623i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1064.10 | + | 20029.4i | 0.0574561 | + | 1.08149i | ||||
\(701\) | −12304.2 | −0.662941 | −0.331471 | − | 0.943466i | \(-0.607545\pi\) | ||||
−0.331471 | + | 0.943466i | \(0.607545\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2518.64 | + | 7751.59i | 0.135124 | + | 0.415870i | ||||
\(704\) | −4994.28 | − | 15370.8i | −0.267371 | − | 0.822882i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4275.25 | + | 13157.9i | −0.227905 | + | 0.701420i | ||||
\(707\) | 23741.8 | 1.26294 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −9554.64 | + | 6941.85i | −0.506110 | + | 0.367711i | −0.811346 | − | 0.584566i | \(-0.801265\pi\) |
0.305236 | + | 0.952277i | \(0.401265\pi\) | |||||||
\(710\) | 4210.28 | − | 8835.20i | 0.222548 | − | 0.467013i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1079.80 | + | 784.519i | −0.0568358 | + | 0.0412937i | ||||
\(713\) | 33980.3 | − | 24688.1i | 1.78481 | − | 1.29674i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −29613.7 | − | 3887.91i | −1.54894 | − | 0.203356i | ||||
\(716\) | 2932.41 | − | 2130.52i | 0.153058 | − | 0.111203i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 45540.8 | 2.36709 | ||||||||
\(719\) | 9386.90 | − | 28889.9i | 0.486888 | − | 1.49849i | −0.342340 | − | 0.939576i | \(-0.611219\pi\) |
0.829228 | − | 0.558911i | \(-0.188781\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 6367.55 | + | 19597.3i | 0.328904 | + | 1.01226i | ||||
\(722\) | −2397.42 | − | 7378.48i | −0.123577 | − | 0.380331i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −32332.0 | −1.65968 | ||||||||
\(725\) | 340.060 | + | 6400.88i | 0.0174200 | + | 0.327893i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −24645.5 | − | 17906.0i | −1.25729 | − | 0.913475i | −0.258668 | − | 0.965966i | \(-0.583284\pi\) |
−0.998621 | + | 0.0524916i | \(0.983284\pi\) | |||||||
\(728\) | −1343.68 | − | 4135.43i | −0.0684069 | − | 0.210535i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2777.52 | − | 14956.2i | −0.140823 | − | 0.758295i | ||||
\(731\) | 1663.93 | − | 5121.05i | 0.0841896 | − | 0.259109i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7869.55 | + | 24220.0i | −0.396546 | + | 1.22044i | 0.531205 | + | 0.847244i | \(0.321740\pi\) |
−0.927751 | + | 0.373200i | \(0.878260\pi\) | |||||||
\(734\) | 232.310 | − | 168.783i | 0.0116822 | − | 0.00848759i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −32369.5 | − | 23517.8i | −1.62113 | − | 1.17782i | ||||
\(737\) | −24607.2 | + | 17878.2i | −1.22988 | + | 0.893557i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −19811.5 | − | 14393.9i | −0.986167 | − | 0.716492i | −0.0270884 | − | 0.999633i | \(-0.508624\pi\) |
−0.959078 | + | 0.283141i | \(0.908624\pi\) | |||||||
\(740\) | 5106.75 | + | 4842.64i | 0.253686 | + | 0.240566i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1577.71 | − | 4855.70i | 0.0780588 | − | 0.240240i | ||||
\(743\) | −11738.9 | −0.579622 | −0.289811 | − | 0.957084i | \(-0.593592\pi\) | ||||
−0.289811 | + | 0.957084i | \(0.593592\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −14066.8 | − | 1846.79i | −0.691768 | − | 0.0908206i | ||||
\(746\) | −3108.27 | − | 9566.29i | −0.152550 | − | 0.469499i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 23154.8 | + | 16823.0i | 1.13185 | + | 0.822338i | ||||
\(749\) | 24366.2 | 1.18868 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −12224.7 | −0.593989 | −0.296995 | − | 0.954879i | \(-0.595984\pi\) | ||||
−0.296995 | + | 0.954879i | \(0.595984\pi\) | |||||||
\(752\) | −13577.3 | − | 9864.51i | −0.658397 | − | 0.478353i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4234.18 | + | 13031.5i | 0.204509 | + | 0.629414i | ||||
\(755\) | −20662.0 | − | 2712.67i | −0.995985 | − | 0.130761i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −22653.2 | −1.08764 | −0.543822 | − | 0.839201i | \(-0.683023\pi\) | ||||
−0.543822 | + | 0.839201i | \(0.683023\pi\) | |||||||
\(758\) | −73.2654 | + | 225.488i | −0.00351071 | + | 0.0108049i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2195.70 | + | 2082.15i | 0.104798 | + | 0.0993782i | ||||
\(761\) | 6237.17 | + | 4531.57i | 0.297106 | + | 0.215860i | 0.726344 | − | 0.687331i | \(-0.241218\pi\) |
−0.429238 | + | 0.903191i | \(0.641218\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 26209.9 | − | 19042.6i | 1.24359 | − | 0.903523i | ||||
\(764\) | 23330.5 | + | 16950.6i | 1.10480 | + | 0.802684i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −12014.1 | + | 8728.75i | −0.566693 | + | 0.411727i | ||||
\(767\) | −13699.5 | + | 42162.7i | −0.644928 | + | 1.98488i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8640.68 | − | 26593.3i | 0.405190 | − | 1.24705i | −0.515547 | − | 0.856861i | \(-0.672411\pi\) |
0.920737 | − | 0.390184i | \(-0.127589\pi\) | |||||||
\(770\) | −6881.96 | − | 37057.6i | −0.322089 | − | 1.73437i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 6992.42 | + | 21520.5i | 0.325988 | + | 1.00329i | ||||
\(773\) | 31856.0 | + | 23144.7i | 1.48225 | + | 1.07692i | 0.976823 | + | 0.214049i | \(0.0686653\pi\) |
0.505428 | + | 0.862869i | \(0.331335\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −17698.6 | + | 27296.3i | −0.820324 | + | 1.26517i | ||||
\(776\) | 1653.14 | 0.0764746 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 11805.9 | + | 36334.8i | 0.544039 | + | 1.67438i | ||||
\(779\) | −1525.87 | − | 4696.15i | −0.0701797 | − | 0.215991i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2704.48 | + | 8323.54i | −0.123910 | + | 0.381357i | ||||
\(782\) | 63608.0 | 2.90872 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 8137.92 | − | 5912.55i | 0.370714 | − | 0.269340i | ||||
\(785\) | −20971.8 | − |