Newspace parameters
Level: | \( N \) | \(=\) | \( 39 = 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 39.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(2.30107449022\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
Defining polynomial: |
\( x^{2} - x + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 16.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 39.16 |
Dual form | 39.4.e.a.22.1 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/39\mathbb{Z}\right)^\times\).
\(n\) | \(14\) | \(28\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.50000 | − | 2.59808i | −0.530330 | − | 0.918559i | −0.999374 | − | 0.0353837i | \(-0.988735\pi\) |
0.469044 | − | 0.883175i | \(-0.344599\pi\) | |||||||
\(3\) | −1.50000 | − | 2.59808i | −0.288675 | − | 0.500000i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(5\) | −9.00000 | −0.804984 | −0.402492 | − | 0.915423i | \(-0.631856\pi\) | ||||
−0.402492 | + | 0.915423i | \(0.631856\pi\) | |||||||
\(6\) | −4.50000 | + | 7.79423i | −0.306186 | + | 0.530330i | ||||
\(7\) | −1.00000 | + | 1.73205i | −0.0539949 | + | 0.0935220i | −0.891760 | − | 0.452510i | \(-0.850529\pi\) |
0.837765 | + | 0.546032i | \(0.183862\pi\) | |||||||
\(8\) | −21.0000 | −0.928078 | ||||||||
\(9\) | −4.50000 | + | 7.79423i | −0.166667 | + | 0.288675i | ||||
\(10\) | 13.5000 | + | 23.3827i | 0.426907 | + | 0.739425i | ||||
\(11\) | −15.0000 | − | 25.9808i | −0.411152 | − | 0.712136i | 0.583864 | − | 0.811851i | \(-0.301540\pi\) |
−0.995016 | + | 0.0997155i | \(0.968207\pi\) | |||||||
\(12\) | 3.00000 | 0.0721688 | ||||||||
\(13\) | 32.5000 | − | 33.7750i | 0.693375 | − | 0.720577i | ||||
\(14\) | 6.00000 | 0.114541 | ||||||||
\(15\) | 13.5000 | + | 23.3827i | 0.232379 | + | 0.402492i | ||||
\(16\) | 35.5000 | + | 61.4878i | 0.554688 | + | 0.960747i | ||||
\(17\) | 55.5000 | − | 96.1288i | 0.791807 | − | 1.37145i | −0.133039 | − | 0.991111i | \(-0.542474\pi\) |
0.924847 | − | 0.380340i | \(-0.124193\pi\) | |||||||
\(18\) | 27.0000 | 0.353553 | ||||||||
\(19\) | 23.0000 | − | 39.8372i | 0.277714 | − | 0.481014i | −0.693102 | − | 0.720839i | \(-0.743757\pi\) |
0.970816 | + | 0.239825i | \(0.0770900\pi\) | |||||||
\(20\) | 4.50000 | − | 7.79423i | 0.0503115 | − | 0.0871421i | ||||
\(21\) | 6.00000 | 0.0623480 | ||||||||
\(22\) | −45.0000 | + | 77.9423i | −0.436092 | + | 0.755334i | ||||
\(23\) | 3.00000 | + | 5.19615i | 0.0271975 | + | 0.0471075i | 0.879304 | − | 0.476261i | \(-0.158008\pi\) |
−0.852106 | + | 0.523369i | \(0.824675\pi\) | |||||||
\(24\) | 31.5000 | + | 54.5596i | 0.267913 | + | 0.464039i | ||||
\(25\) | −44.0000 | −0.352000 | ||||||||
\(26\) | −136.500 | − | 33.7750i | −1.02961 | − | 0.254762i | ||||
\(27\) | 27.0000 | 0.192450 | ||||||||
\(28\) | −1.00000 | − | 1.73205i | −0.00674937 | − | 0.0116902i | ||||
\(29\) | 52.5000 | + | 90.9327i | 0.336173 | + | 0.582268i | 0.983709 | − | 0.179766i | \(-0.0575341\pi\) |
−0.647537 | + | 0.762034i | \(0.724201\pi\) | |||||||
\(30\) | 40.5000 | − | 70.1481i | 0.246475 | − | 0.426907i | ||||
\(31\) | −100.000 | −0.579372 | −0.289686 | − | 0.957122i | \(-0.593551\pi\) | ||||
−0.289686 | + | 0.957122i | \(0.593551\pi\) | |||||||
\(32\) | 22.5000 | − | 38.9711i | 0.124296 | − | 0.215287i | ||||
\(33\) | −45.0000 | + | 77.9423i | −0.237379 | + | 0.411152i | ||||
\(34\) | −333.000 | −1.67968 | ||||||||
\(35\) | 9.00000 | − | 15.5885i | 0.0434651 | − | 0.0752837i | ||||
\(36\) | −4.50000 | − | 7.79423i | −0.0208333 | − | 0.0360844i | ||||
\(37\) | −8.50000 | − | 14.7224i | −0.0377673 | − | 0.0654149i | 0.846524 | − | 0.532351i | \(-0.178691\pi\) |
−0.884291 | + | 0.466936i | \(0.845358\pi\) | |||||||
\(38\) | −138.000 | −0.589120 | ||||||||
\(39\) | −136.500 | − | 33.7750i | −0.560449 | − | 0.138675i | ||||
\(40\) | 189.000 | 0.747088 | ||||||||
\(41\) | 115.500 | + | 200.052i | 0.439953 | + | 0.762021i | 0.997685 | − | 0.0680000i | \(-0.0216618\pi\) |
−0.557732 | + | 0.830021i | \(0.688328\pi\) | |||||||
\(42\) | −9.00000 | − | 15.5885i | −0.0330650 | − | 0.0572703i | ||||
\(43\) | 257.000 | − | 445.137i | 0.911445 | − | 1.57867i | 0.0994205 | − | 0.995046i | \(-0.468301\pi\) |
0.812024 | − | 0.583623i | \(-0.198366\pi\) | |||||||
\(44\) | 30.0000 | 0.102788 | ||||||||
\(45\) | 40.5000 | − | 70.1481i | 0.134164 | − | 0.232379i | ||||
\(46\) | 9.00000 | − | 15.5885i | 0.0288473 | − | 0.0499651i | ||||
\(47\) | −162.000 | −0.502769 | −0.251384 | − | 0.967887i | \(-0.580886\pi\) | ||||
−0.251384 | + | 0.967887i | \(0.580886\pi\) | |||||||
\(48\) | 106.500 | − | 184.463i | 0.320249 | − | 0.554688i | ||||
\(49\) | 169.500 | + | 293.583i | 0.494169 | + | 0.855926i | ||||
\(50\) | 66.0000 | + | 114.315i | 0.186676 | + | 0.323333i | ||||
\(51\) | −333.000 | −0.914301 | ||||||||
\(52\) | 13.0000 | + | 45.0333i | 0.0346688 | + | 0.120096i | ||||
\(53\) | 639.000 | 1.65610 | 0.828051 | − | 0.560653i | \(-0.189450\pi\) | ||||
0.828051 | + | 0.560653i | \(0.189450\pi\) | |||||||
\(54\) | −40.5000 | − | 70.1481i | −0.102062 | − | 0.176777i | ||||
\(55\) | 135.000 | + | 233.827i | 0.330971 | + | 0.573258i | ||||
\(56\) | 21.0000 | − | 36.3731i | 0.0501115 | − | 0.0867956i | ||||
\(57\) | −138.000 | −0.320676 | ||||||||
\(58\) | 157.500 | − | 272.798i | 0.356565 | − | 0.617588i | ||||
\(59\) | −300.000 | + | 519.615i | −0.661978 | + | 1.14658i | 0.318118 | + | 0.948051i | \(0.396949\pi\) |
−0.980095 | + | 0.198527i | \(0.936384\pi\) | |||||||
\(60\) | −27.0000 | −0.0580948 | ||||||||
\(61\) | −116.500 | + | 201.784i | −0.244529 | + | 0.423537i | −0.961999 | − | 0.273052i | \(-0.911967\pi\) |
0.717470 | + | 0.696590i | \(0.245300\pi\) | |||||||
\(62\) | 150.000 | + | 259.808i | 0.307258 | + | 0.532187i | ||||
\(63\) | −9.00000 | − | 15.5885i | −0.0179983 | − | 0.0311740i | ||||
\(64\) | 433.000 | 0.845703 | ||||||||
\(65\) | −292.500 | + | 303.975i | −0.558156 | + | 0.580053i | ||||
\(66\) | 270.000 | 0.503556 | ||||||||
\(67\) | −463.000 | − | 801.940i | −0.844246 | − | 1.46228i | −0.886275 | − | 0.463160i | \(-0.846716\pi\) |
0.0420292 | − | 0.999116i | \(-0.486618\pi\) | |||||||
\(68\) | 55.5000 | + | 96.1288i | 0.0989759 | + | 0.171431i | ||||
\(69\) | 9.00000 | − | 15.5885i | 0.0157025 | − | 0.0271975i | ||||
\(70\) | −54.0000 | −0.0922033 | ||||||||
\(71\) | 465.000 | − | 805.404i | 0.777258 | − | 1.34625i | −0.156258 | − | 0.987716i | \(-0.549943\pi\) |
0.933516 | − | 0.358535i | \(-0.116724\pi\) | |||||||
\(72\) | 94.5000 | − | 163.679i | 0.154680 | − | 0.267913i | ||||
\(73\) | −253.000 | −0.405636 | −0.202818 | − | 0.979216i | \(-0.565010\pi\) | ||||
−0.202818 | + | 0.979216i | \(0.565010\pi\) | |||||||
\(74\) | −25.5000 | + | 44.1673i | −0.0400583 | + | 0.0693830i | ||||
\(75\) | 66.0000 | + | 114.315i | 0.101614 | + | 0.176000i | ||||
\(76\) | 23.0000 | + | 39.8372i | 0.0347142 | + | 0.0601268i | ||||
\(77\) | 60.0000 | 0.0888004 | ||||||||
\(78\) | 117.000 | + | 405.300i | 0.169842 | + | 0.588348i | ||||
\(79\) | −1324.00 | −1.88559 | −0.942795 | − | 0.333373i | \(-0.891813\pi\) | ||||
−0.942795 | + | 0.333373i | \(0.891813\pi\) | |||||||
\(80\) | −319.500 | − | 553.390i | −0.446515 | − | 0.773386i | ||||
\(81\) | −40.5000 | − | 70.1481i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 346.500 | − | 600.156i | 0.466641 | − | 0.808245i | ||||
\(83\) | 810.000 | 1.07119 | 0.535597 | − | 0.844474i | \(-0.320087\pi\) | ||||
0.535597 | + | 0.844474i | \(0.320087\pi\) | |||||||
\(84\) | −3.00000 | + | 5.19615i | −0.00389675 | + | 0.00674937i | ||||
\(85\) | −499.500 | + | 865.159i | −0.637393 | + | 1.10400i | ||||
\(86\) | −1542.00 | −1.93347 | ||||||||
\(87\) | 157.500 | − | 272.798i | 0.194089 | − | 0.336173i | ||||
\(88\) | 315.000 | + | 545.596i | 0.381581 | + | 0.660917i | ||||
\(89\) | −249.000 | − | 431.281i | −0.296561 | − | 0.513659i | 0.678786 | − | 0.734336i | \(-0.262507\pi\) |
−0.975347 | + | 0.220677i | \(0.929173\pi\) | |||||||
\(90\) | −243.000 | −0.284605 | ||||||||
\(91\) | 26.0000 | + | 90.0666i | 0.0299510 | + | 0.103753i | ||||
\(92\) | −6.00000 | −0.00679938 | ||||||||
\(93\) | 150.000 | + | 259.808i | 0.167250 | + | 0.289686i | ||||
\(94\) | 243.000 | + | 420.888i | 0.266633 | + | 0.461823i | ||||
\(95\) | −207.000 | + | 358.535i | −0.223555 | + | 0.387209i | ||||
\(96\) | −135.000 | −0.143525 | ||||||||
\(97\) | −679.000 | + | 1176.06i | −0.710742 | + | 1.23104i | 0.253837 | + | 0.967247i | \(0.418307\pi\) |
−0.964579 | + | 0.263795i | \(0.915026\pi\) | |||||||
\(98\) | 508.500 | − | 880.748i | 0.524145 | − | 0.907847i | ||||
\(99\) | 270.000 | 0.274101 | ||||||||
\(100\) | 22.0000 | − | 38.1051i | 0.0220000 | − | 0.0381051i | ||||
\(101\) | 178.500 | + | 309.171i | 0.175856 | + | 0.304591i | 0.940457 | − | 0.339913i | \(-0.110397\pi\) |
−0.764601 | + | 0.644503i | \(0.777064\pi\) | |||||||
\(102\) | 499.500 | + | 865.159i | 0.484881 | + | 0.839839i | ||||
\(103\) | 1118.00 | 1.06951 | 0.534756 | − | 0.845006i | \(-0.320403\pi\) | ||||
0.534756 | + | 0.845006i | \(0.320403\pi\) | |||||||
\(104\) | −682.500 | + | 709.275i | −0.643506 | + | 0.668751i | ||||
\(105\) | −54.0000 | −0.0501891 | ||||||||
\(106\) | −958.500 | − | 1660.17i | −0.878281 | − | 1.52123i | ||||
\(107\) | −357.000 | − | 618.342i | −0.322547 | − | 0.558667i | 0.658466 | − | 0.752610i | \(-0.271206\pi\) |
−0.981013 | + | 0.193943i | \(0.937872\pi\) | |||||||
\(108\) | −13.5000 | + | 23.3827i | −0.0120281 | + | 0.0208333i | ||||
\(109\) | 2006.00 | 1.76275 | 0.881376 | − | 0.472416i | \(-0.156618\pi\) | ||||
0.881376 | + | 0.472416i | \(0.156618\pi\) | |||||||
\(110\) | 405.000 | − | 701.481i | 0.351048 | − | 0.608032i | ||||
\(111\) | −25.5000 | + | 44.1673i | −0.0218050 | + | 0.0377673i | ||||
\(112\) | −142.000 | −0.119801 | ||||||||
\(113\) | 559.500 | − | 969.082i | 0.465782 | − | 0.806758i | −0.533455 | − | 0.845829i | \(-0.679107\pi\) |
0.999236 | + | 0.0390710i | \(0.0124399\pi\) | |||||||
\(114\) | 207.000 | + | 358.535i | 0.170064 | + | 0.294560i | ||||
\(115\) | −27.0000 | − | 46.7654i | −0.0218936 | − | 0.0379208i | ||||
\(116\) | −105.000 | −0.0840431 | ||||||||
\(117\) | 117.000 | + | 405.300i | 0.0924500 | + | 0.320256i | ||||
\(118\) | 1800.00 | 1.40427 | ||||||||
\(119\) | 111.000 | + | 192.258i | 0.0855072 | + | 0.148103i | ||||
\(120\) | −283.500 | − | 491.036i | −0.215666 | − | 0.373544i | ||||
\(121\) | 215.500 | − | 373.257i | 0.161908 | − | 0.280433i | ||||
\(122\) | 699.000 | 0.518725 | ||||||||
\(123\) | 346.500 | − | 600.156i | 0.254007 | − | 0.439953i | ||||
\(124\) | 50.0000 | − | 86.6025i | 0.0362107 | − | 0.0627189i | ||||
\(125\) | 1521.00 | 1.08834 | ||||||||
\(126\) | −27.0000 | + | 46.7654i | −0.0190901 | + | 0.0330650i | ||||
\(127\) | 302.000 | + | 523.079i | 0.211009 | + | 0.365479i | 0.952031 | − | 0.306003i | \(-0.0989917\pi\) |
−0.741021 | + | 0.671481i | \(0.765658\pi\) | |||||||
\(128\) | −829.500 | − | 1436.74i | −0.572798 | − | 0.992115i | ||||
\(129\) | −1542.00 | −1.05245 | ||||||||
\(130\) | 1228.50 | + | 303.975i | 0.828820 | + | 0.205080i | ||||
\(131\) | −1584.00 | −1.05645 | −0.528224 | − | 0.849105i | \(-0.677142\pi\) | ||||
−0.528224 | + | 0.849105i | \(0.677142\pi\) | |||||||
\(132\) | −45.0000 | − | 77.9423i | −0.0296723 | − | 0.0513940i | ||||
\(133\) | 46.0000 | + | 79.6743i | 0.0299903 | + | 0.0519447i | ||||
\(134\) | −1389.00 | + | 2405.82i | −0.895458 | + | 1.55098i | ||||
\(135\) | −243.000 | −0.154919 | ||||||||
\(136\) | −1165.50 | + | 2018.71i | −0.734859 | + | 1.27281i | ||||
\(137\) | −358.500 | + | 620.940i | −0.223567 | + | 0.387230i | −0.955889 | − | 0.293729i | \(-0.905104\pi\) |
0.732321 | + | 0.680959i | \(0.238437\pi\) | |||||||
\(138\) | −54.0000 | −0.0333100 | ||||||||
\(139\) | 410.000 | − | 710.141i | 0.250185 | − | 0.433334i | −0.713391 | − | 0.700766i | \(-0.752842\pi\) |
0.963577 | + | 0.267432i | \(0.0861751\pi\) | |||||||
\(140\) | 9.00000 | + | 15.5885i | 0.00543313 | + | 0.00941046i | ||||
\(141\) | 243.000 | + | 420.888i | 0.145137 | + | 0.251384i | ||||
\(142\) | −2790.00 | −1.64881 | ||||||||
\(143\) | −1365.00 | − | 337.750i | −0.798231 | − | 0.197511i | ||||
\(144\) | −639.000 | −0.369792 | ||||||||
\(145\) | −472.500 | − | 818.394i | −0.270614 | − | 0.468717i | ||||
\(146\) | 379.500 | + | 657.313i | 0.215121 | + | 0.372600i | ||||
\(147\) | 508.500 | − | 880.748i | 0.285309 | − | 0.494169i | ||||
\(148\) | 17.0000 | 0.00944183 | ||||||||
\(149\) | 874.500 | − | 1514.68i | 0.480818 | − | 0.832801i | −0.518940 | − | 0.854811i | \(-0.673673\pi\) |
0.999758 | + | 0.0220100i | \(0.00700656\pi\) | |||||||
\(150\) | 198.000 | − | 342.946i | 0.107778 | − | 0.186676i | ||||
\(151\) | −370.000 | −0.199405 | −0.0997026 | − | 0.995017i | \(-0.531789\pi\) | ||||
−0.0997026 | + | 0.995017i | \(0.531789\pi\) | |||||||
\(152\) | −483.000 | + | 836.581i | −0.257740 | + | 0.446419i | ||||
\(153\) | 499.500 | + | 865.159i | 0.263936 | + | 0.457150i | ||||
\(154\) | −90.0000 | − | 155.885i | −0.0470935 | − | 0.0815684i | ||||
\(155\) | 900.000 | 0.466385 | ||||||||
\(156\) | 97.5000 | − | 101.325i | 0.0500400 | − | 0.0520031i | ||||
\(157\) | −2611.00 | −1.32726 | −0.663632 | − | 0.748059i | \(-0.730986\pi\) | ||||
−0.663632 | + | 0.748059i | \(0.730986\pi\) | |||||||
\(158\) | 1986.00 | + | 3439.85i | 0.999985 | + | 1.73203i | ||||
\(159\) | −958.500 | − | 1660.17i | −0.478075 | − | 0.828051i | ||||
\(160\) | −202.500 | + | 350.740i | −0.100056 | + | 0.173303i | ||||
\(161\) | −12.0000 | −0.00587411 | ||||||||
\(162\) | −121.500 | + | 210.444i | −0.0589256 | + | 0.102062i | ||||
\(163\) | 818.000 | − | 1416.82i | 0.393072 | − | 0.680820i | −0.599781 | − | 0.800164i | \(-0.704746\pi\) |
0.992853 | + | 0.119344i | \(0.0380790\pi\) | |||||||
\(164\) | −231.000 | −0.109988 | ||||||||
\(165\) | 405.000 | − | 701.481i | 0.191086 | − | 0.330971i | ||||
\(166\) | −1215.00 | − | 2104.44i | −0.568086 | − | 0.983954i | ||||
\(167\) | −132.000 | − | 228.631i | −0.0611645 | − | 0.105940i | 0.833822 | − | 0.552034i | \(-0.186148\pi\) |
−0.894986 | + | 0.446094i | \(0.852815\pi\) | |||||||
\(168\) | −126.000 | −0.0578638 | ||||||||
\(169\) | −84.5000 | − | 2195.37i | −0.0384615 | − | 0.999260i | ||||
\(170\) | 2997.00 | 1.35211 | ||||||||
\(171\) | 207.000 | + | 358.535i | 0.0925713 | + | 0.160338i | ||||
\(172\) | 257.000 | + | 445.137i | 0.113931 | + | 0.197334i | ||||
\(173\) | −705.000 | + | 1221.10i | −0.309827 | + | 0.536637i | −0.978324 | − | 0.207078i | \(-0.933605\pi\) |
0.668497 | + | 0.743715i | \(0.266938\pi\) | |||||||
\(174\) | −945.000 | −0.411726 | ||||||||
\(175\) | 44.0000 | − | 76.2102i | 0.0190062 | − | 0.0329197i | ||||
\(176\) | 1065.00 | − | 1844.63i | 0.456122 | − | 0.790026i | ||||
\(177\) | 1800.00 | 0.764386 | ||||||||
\(178\) | −747.000 | + | 1293.84i | −0.314551 | + | 0.544818i | ||||
\(179\) | 237.000 | + | 410.496i | 0.0989621 | + | 0.171407i | 0.911255 | − | 0.411842i | \(-0.135114\pi\) |
−0.812293 | + | 0.583249i | \(0.801781\pi\) | |||||||
\(180\) | 40.5000 | + | 70.1481i | 0.0167705 | + | 0.0290474i | ||||
\(181\) | 2249.00 | 0.923574 | 0.461787 | − | 0.886991i | \(-0.347208\pi\) | ||||
0.461787 | + | 0.886991i | \(0.347208\pi\) | |||||||
\(182\) | 195.000 | − | 202.650i | 0.0794196 | − | 0.0825352i | ||||
\(183\) | 699.000 | 0.282358 | ||||||||
\(184\) | −63.0000 | − | 109.119i | −0.0252414 | − | 0.0437194i | ||||
\(185\) | 76.5000 | + | 132.502i | 0.0304021 | + | 0.0526580i | ||||
\(186\) | 450.000 | − | 779.423i | 0.177396 | − | 0.307258i | ||||
\(187\) | −3330.00 | −1.30221 | ||||||||
\(188\) | 81.0000 | − | 140.296i | 0.0314230 | − | 0.0544263i | ||||
\(189\) | −27.0000 | + | 46.7654i | −0.0103913 | + | 0.0179983i | ||||
\(190\) | 1242.00 | 0.474232 | ||||||||
\(191\) | −1722.00 | + | 2982.59i | −0.652354 | + | 1.12991i | 0.330197 | + | 0.943912i | \(0.392885\pi\) |
−0.982550 | + | 0.185997i | \(0.940448\pi\) | |||||||
\(192\) | −649.500 | − | 1124.97i | −0.244133 | − | 0.422852i | ||||
\(193\) | 2136.50 | + | 3700.53i | 0.796832 | + | 1.38015i | 0.921669 | + | 0.387977i | \(0.126826\pi\) |
−0.124837 | + | 0.992177i | \(0.539841\pi\) | |||||||
\(194\) | 4074.00 | 1.50771 | ||||||||
\(195\) | 1228.50 | + | 303.975i | 0.451152 | + | 0.111631i | ||||
\(196\) | −339.000 | −0.123542 | ||||||||
\(197\) | 993.000 | + | 1719.93i | 0.359129 | + | 0.622029i | 0.987815 | − | 0.155630i | \(-0.0497406\pi\) |
−0.628687 | + | 0.777658i | \(0.716407\pi\) | |||||||
\(198\) | −405.000 | − | 701.481i | −0.145364 | − | 0.251778i | ||||
\(199\) | 1193.00 | − | 2066.34i | 0.424973 | − | 0.736074i | −0.571445 | − | 0.820640i | \(-0.693617\pi\) |
0.996418 | + | 0.0845661i | \(0.0269504\pi\) | |||||||
\(200\) | 924.000 | 0.326683 | ||||||||
\(201\) | −1389.00 | + | 2405.82i | −0.487425 | + | 0.844246i | ||||
\(202\) | 535.500 | − | 927.513i | 0.186523 | − | 0.323067i | ||||
\(203\) | −210.000 | −0.0726065 | ||||||||
\(204\) | 166.500 | − | 288.386i | 0.0571438 | − | 0.0989759i | ||||
\(205\) | −1039.50 | − | 1800.47i | −0.354155 | − | 0.613415i | ||||
\(206\) | −1677.00 | − | 2904.65i | −0.567195 | − | 0.982410i | ||||
\(207\) | −54.0000 | −0.0181317 | ||||||||
\(208\) | 3230.50 | + | 799.341i | 1.07690 | + | 0.266463i | ||||
\(209\) | −1380.00 | −0.456730 | ||||||||
\(210\) | 81.0000 | + | 140.296i | 0.0266168 | + | 0.0461017i | ||||
\(211\) | 800.000 | + | 1385.64i | 0.261016 | + | 0.452092i | 0.966512 | − | 0.256621i | \(-0.0826093\pi\) |
−0.705497 | + | 0.708713i | \(0.749276\pi\) | |||||||
\(212\) | −319.500 | + | 553.390i | −0.103506 | + | 0.179278i | ||||
\(213\) | −2790.00 | −0.897501 | ||||||||
\(214\) | −1071.00 | + | 1855.03i | −0.342112 | + | 0.592556i | ||||
\(215\) | −2313.00 | + | 4006.23i | −0.733699 | + | 1.27080i | ||||
\(216\) | −567.000 | −0.178609 | ||||||||
\(217\) | 100.000 | − | 173.205i | 0.0312831 | − | 0.0541840i | ||||
\(218\) | −3009.00 | − | 5211.74i | −0.934840 | − | 1.61919i | ||||
\(219\) | 379.500 | + | 657.313i | 0.117097 | + | 0.202818i | ||||
\(220\) | −270.000 | −0.0827427 | ||||||||
\(221\) | −1443.00 | − | 4998.70i | −0.439216 | − | 1.52149i | ||||
\(222\) | 153.000 | 0.0462553 | ||||||||
\(223\) | 1916.00 | + | 3318.61i | 0.575358 | + | 0.996549i | 0.996003 | + | 0.0893239i | \(0.0284706\pi\) |
−0.420645 | + | 0.907226i | \(0.638196\pi\) | |||||||
\(224\) | 45.0000 | + | 77.9423i | 0.0134227 | + | 0.0232488i | ||||
\(225\) | 198.000 | − | 342.946i | 0.0586667 | − | 0.101614i | ||||
\(226\) | −3357.00 | −0.988072 | ||||||||
\(227\) | 699.000 | − | 1210.70i | 0.204380 | − | 0.353997i | −0.745555 | − | 0.666444i | \(-0.767816\pi\) |
0.949935 | + | 0.312448i | \(0.101149\pi\) | |||||||
\(228\) | 69.0000 | − | 119.512i | 0.0200423 | − | 0.0347142i | ||||
\(229\) | 4466.00 | 1.28874 | 0.644370 | − | 0.764714i | \(-0.277120\pi\) | ||||
0.644370 | + | 0.764714i | \(0.277120\pi\) | |||||||
\(230\) | −81.0000 | + | 140.296i | −0.0232217 | + | 0.0402211i | ||||
\(231\) | −90.0000 | − | 155.885i | −0.0256345 | − | 0.0444002i | ||||
\(232\) | −1102.50 | − | 1909.59i | −0.311994 | − | 0.540390i | ||||
\(233\) | −1638.00 | −0.460553 | −0.230277 | − | 0.973125i | \(-0.573963\pi\) | ||||
−0.230277 | + | 0.973125i | \(0.573963\pi\) | |||||||
\(234\) | 877.500 | − | 911.925i | 0.245145 | − | 0.254762i | ||||
\(235\) | 1458.00 | 0.404721 | ||||||||
\(236\) | −300.000 | − | 519.615i | −0.0827472 | − | 0.143322i | ||||
\(237\) | 1986.00 | + | 3439.85i | 0.544323 | + | 0.942795i | ||||
\(238\) | 333.000 | − | 576.773i | 0.0906941 | − | 0.157087i | ||||
\(239\) | −594.000 | −0.160764 | −0.0803821 | − | 0.996764i | \(-0.525614\pi\) | ||||
−0.0803821 | + | 0.996764i | \(0.525614\pi\) | |||||||
\(240\) | −958.500 | + | 1660.17i | −0.257795 | + | 0.446515i | ||||
\(241\) | −1151.50 | + | 1994.46i | −0.307779 | + | 0.533088i | −0.977876 | − | 0.209185i | \(-0.932919\pi\) |
0.670098 | + | 0.742273i | \(0.266252\pi\) | |||||||
\(242\) | −1293.00 | −0.343459 | ||||||||
\(243\) | −121.500 | + | 210.444i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −116.500 | − | 201.784i | −0.0305662 | − | 0.0529422i | ||||
\(245\) | −1525.50 | − | 2642.24i | −0.397798 | − | 0.689007i | ||||
\(246\) | −2079.00 | −0.538830 | ||||||||
\(247\) | −598.000 | − | 2071.53i | −0.154048 | − | 0.533638i | ||||
\(248\) | 2100.00 | 0.537702 | ||||||||
\(249\) | −1215.00 | − | 2104.44i | −0.309227 | − | 0.535597i | ||||
\(250\) | −2281.50 | − | 3951.67i | −0.577179 | − | 0.999703i | ||||
\(251\) | −3162.00 | + | 5476.74i | −0.795154 | + | 1.37725i | 0.127587 | + | 0.991827i | \(0.459277\pi\) |
−0.922741 | + | 0.385420i | \(0.874057\pi\) | |||||||
\(252\) | 18.0000 | 0.00449958 | ||||||||
\(253\) | 90.0000 | − | 155.885i | 0.0223646 | − | 0.0387367i | ||||
\(254\) | 906.000 | − | 1569.24i | 0.223809 | − | 0.387649i | ||||
\(255\) | 2997.00 | 0.735998 | ||||||||
\(256\) | −756.500 | + | 1310.30i | −0.184692 | + | 0.319897i | ||||
\(257\) | −3916.50 | − | 6783.58i | −0.950601 | − | 1.64649i | −0.744127 | − | 0.668038i | \(-0.767134\pi\) |
−0.206474 | − | 0.978452i | \(-0.566199\pi\) | |||||||
\(258\) | 2313.00 | + | 4006.23i | 0.558144 | + | 0.966733i | ||||
\(259\) | 34.0000 | 0.00815698 | ||||||||
\(260\) | −117.000 | − | 405.300i | −0.0279078 | − | 0.0966755i | ||||
\(261\) | −945.000 | −0.224115 | ||||||||
\(262\) | 2376.00 | + | 4115.35i | 0.560266 | + | 0.970410i | ||||
\(263\) | 1515.00 | + | 2624.06i | 0.355205 | + | 0.615233i | 0.987153 | − | 0.159778i | \(-0.0510777\pi\) |
−0.631948 | + | 0.775011i | \(0.717744\pi\) | |||||||
\(264\) | 945.000 | − | 1636.79i | 0.220306 | − | 0.381581i | ||||
\(265\) | −5751.00 | −1.33314 | ||||||||
\(266\) | 138.000 | − | 239.023i | 0.0318095 | − | 0.0550956i | ||||
\(267\) | −747.000 | + | 1293.84i | −0.171220 | + | 0.296561i | ||||
\(268\) | 926.000 | 0.211061 | ||||||||
\(269\) | 267.000 | − | 462.458i | 0.0605178 | − | 0.104820i | −0.834179 | − | 0.551493i | \(-0.814058\pi\) |
0.894697 | + | 0.446674i | \(0.147391\pi\) | |||||||
\(270\) | 364.500 | + | 631.333i | 0.0821584 | + | 0.142302i | ||||
\(271\) | 1844.00 | + | 3193.90i | 0.413340 | + | 0.715925i | 0.995253 | − | 0.0973259i | \(-0.0310289\pi\) |
−0.581913 | + | 0.813251i | \(0.697696\pi\) | |||||||
\(272\) | 7881.00 | 1.75682 | ||||||||
\(273\) | 195.000 | − | 202.650i | 0.0432305 | − | 0.0449265i | ||||
\(274\) | 2151.00 | 0.474258 | ||||||||
\(275\) | 660.000 | + | 1143.15i | 0.144725 | + | 0.250672i | ||||
\(276\) | 9.00000 | + | 15.5885i | 0.00196281 | + | 0.00339969i | ||||
\(277\) | −932.500 | + | 1615.14i | −0.202269 | + | 0.350340i | −0.949259 | − | 0.314495i | \(-0.898165\pi\) |
0.746990 | + | 0.664835i | \(0.231498\pi\) | |||||||
\(278\) | −2460.00 | −0.530723 | ||||||||
\(279\) | 450.000 | − | 779.423i | 0.0965620 | − | 0.167250i | ||||
\(280\) | −189.000 | + | 327.358i | −0.0403390 | + | 0.0698691i | ||||
\(281\) | 2997.00 | 0.636249 | 0.318125 | − | 0.948049i | \(-0.396947\pi\) | ||||
0.318125 | + | 0.948049i | \(0.396947\pi\) | |||||||
\(282\) | 729.000 | − | 1262.67i | 0.153941 | − | 0.266633i | ||||
\(283\) | 2057.00 | + | 3562.83i | 0.432071 | + | 0.748368i | 0.997051 | − | 0.0767359i | \(-0.0244498\pi\) |
−0.564981 | + | 0.825104i | \(0.691116\pi\) | |||||||
\(284\) | 465.000 | + | 805.404i | 0.0971573 | + | 0.168281i | ||||
\(285\) | 1242.00 | 0.258139 | ||||||||
\(286\) | 1170.00 | + | 4053.00i | 0.241901 | + | 0.837968i | ||||
\(287\) | −462.000 | −0.0950209 | ||||||||
\(288\) | 202.500 | + | 350.740i | 0.0414320 | + | 0.0717624i | ||||
\(289\) | −3704.00 | − | 6415.52i | −0.753918 | − | 1.30582i | ||||
\(290\) | −1417.50 | + | 2455.18i | −0.287029 | + | 0.497149i | ||||
\(291\) | 4074.00 | 0.820695 | ||||||||
\(292\) | 126.500 | − | 219.104i | 0.0253522 | − | 0.0439114i | ||||
\(293\) | 2332.50 | − | 4040.01i | 0.465072 | − | 0.805528i | −0.534133 | − | 0.845401i | \(-0.679362\pi\) |
0.999205 | + | 0.0398722i | \(0.0126951\pi\) | |||||||
\(294\) | −3051.00 | −0.605231 | ||||||||
\(295\) | 2700.00 | − | 4676.54i | 0.532882 | − | 0.922978i | ||||
\(296\) | 178.500 | + | 309.171i | 0.0350510 | + | 0.0607101i | ||||
\(297\) | −405.000 | − | 701.481i | −0.0791262 | − | 0.137051i | ||||
\(298\) | −5247.00 | −1.01997 | ||||||||
\(299\) | 273.000 | + | 67.5500i | 0.0528027 | + | 0.0130653i | ||||
\(300\) | −132.000 | −0.0254034 | ||||||||
\(301\) | 514.000 | + | 890.274i | 0.0984268 | + | 0.170480i | ||||
\(302\) | 555.000 | + | 961.288i | 0.105751 | + | 0.183165i | ||||
\(303\) | 535.500 | − | 927.513i | 0.101530 | − | 0.175856i | ||||
\(304\) | 3266.00 | 0.616177 | ||||||||
\(305\) | 1048.50 | − | 1816.06i | 0.196842 | − | 0.340941i | ||||
\(306\) | 1498.50 | − | 2595.48i | 0.279946 | − | 0.484881i | ||||
\(307\) | 1502.00 | 0.279230 | 0.139615 | − | 0.990206i | \(-0.455413\pi\) | ||||
0.139615 | + | 0.990206i | \(0.455413\pi\) | |||||||
\(308\) | −30.0000 | + | 51.9615i | −0.00555003 | + | 0.00961293i | ||||
\(309\) | −1677.00 | − | 2904.65i | −0.308742 | − | 0.534756i | ||||
\(310\) | −1350.00 | − | 2338.27i | −0.247338 | − | 0.428402i | ||||
\(311\) | 2106.00 | 0.383988 | 0.191994 | − | 0.981396i | \(-0.438505\pi\) | ||||
0.191994 | + | 0.981396i | \(0.438505\pi\) | |||||||
\(312\) | 2866.50 | + | 709.275i | 0.520140 | + | 0.128701i | ||||
\(313\) | −3898.00 | −0.703923 | −0.351962 | − | 0.936014i | \(-0.614485\pi\) | ||||
−0.351962 | + | 0.936014i | \(0.614485\pi\) | |||||||
\(314\) | 3916.50 | + | 6783.58i | 0.703888 | + | 1.21917i | ||||
\(315\) | 81.0000 | + | 140.296i | 0.0144884 | + | 0.0250946i | ||||
\(316\) | 662.000 | − | 1146.62i | 0.117849 | − | 0.204121i | ||||
\(317\) | 9351.00 | 1.65680 | 0.828398 | − | 0.560140i | \(-0.189253\pi\) | ||||
0.828398 | + | 0.560140i | \(0.189253\pi\) | |||||||
\(318\) | −2875.50 | + | 4980.51i | −0.507076 | + | 0.878281i | ||||
\(319\) | 1575.00 | − | 2727.98i | 0.276436 | − | 0.478801i | ||||
\(320\) | −3897.00 | −0.680778 | ||||||||
\(321\) | −1071.00 | + | 1855.03i | −0.186222 | + | 0.322547i | ||||
\(322\) | 18.0000 | + | 31.1769i | 0.00311522 | + | 0.00539572i | ||||
\(323\) | −2553.00 | − | 4421.93i | −0.439792 | − | 0.761742i | ||||
\(324\) | 81.0000 | 0.0138889 | ||||||||
\(325\) | −1430.00 | + | 1486.10i | −0.244068 | + | 0.253643i | ||||
\(326\) | −4908.00 | −0.833831 | ||||||||
\(327\) | −3009.00 | − | 5211.74i | −0.508863 | − | 0.881376i | ||||
\(328\) | −2425.50 | − | 4201.09i | −0.408310 | − | 0.707214i | ||||
\(329\) | 162.000 | − | 280.592i | 0.0271470 | − | 0.0470199i | ||||
\(330\) | −2430.00 | −0.405355 | ||||||||
\(331\) | 4586.00 | − | 7943.19i | 0.761539 | − | 1.31902i | −0.180518 | − | 0.983572i | \(-0.557778\pi\) |
0.942057 | − | 0.335452i | \(-0.108889\pi\) | |||||||
\(332\) | −405.000 | + | 701.481i | −0.0669496 | + | 0.115960i | ||||
\(333\) | 153.000 | 0.0251782 | ||||||||
\(334\) | −396.000 | + | 685.892i | −0.0648747 | + | 0.112366i | ||||
\(335\) | 4167.00 | + | 7217.46i | 0.679605 | + | 1.17711i | ||||
\(336\) | 213.000 | + | 368.927i | 0.0345836 | + | 0.0599006i | ||||
\(337\) | −11089.0 | −1.79245 | −0.896226 | − | 0.443598i | \(-0.853702\pi\) | ||||
−0.896226 | + | 0.443598i | \(0.853702\pi\) | |||||||
\(338\) | −5577.00 | + | 3512.60i | −0.897482 | + | 0.565267i | ||||
\(339\) | −3357.00 | −0.537838 | ||||||||
\(340\) | −499.500 | − | 865.159i | −0.0796741 | − | 0.138000i | ||||
\(341\) | 1500.00 | + | 2598.08i | 0.238210 | + | 0.412592i | ||||
\(342\) | 621.000 | − | 1075.60i | 0.0981866 | − | 0.170064i | ||||
\(343\) | −1364.00 | −0.214720 | ||||||||
\(344\) | −5397.00 | + | 9347.88i | −0.845892 | + | 1.46513i | ||||
\(345\) | −81.0000 | + | 140.296i | −0.0126403 | + | 0.0218936i | ||||
\(346\) | 4230.00 | 0.657243 | ||||||||
\(347\) | −4881.00 | + | 8454.14i | −0.755118 | + | 1.30790i | 0.190198 | + | 0.981746i | \(0.439087\pi\) |
−0.945316 | + | 0.326156i | \(0.894246\pi\) | |||||||
\(348\) | 157.500 | + | 272.798i | 0.0242612 | + | 0.0420216i | ||||
\(349\) | 4145.00 | + | 7179.35i | 0.635750 | + | 1.10115i | 0.986356 | + | 0.164628i | \(0.0526424\pi\) |
−0.350606 | + | 0.936523i | \(0.614024\pi\) | |||||||
\(350\) | −264.000 | −0.0403183 | ||||||||
\(351\) | 877.500 | − | 911.925i | 0.133440 | − | 0.138675i | ||||
\(352\) | −1350.00 | −0.204418 | ||||||||
\(353\) | −6202.50 | − | 10743.0i | −0.935200 | − | 1.61981i | −0.774276 | − | 0.632848i | \(-0.781886\pi\) |
−0.160924 | − | 0.986967i | \(-0.551448\pi\) | |||||||
\(354\) | −2700.00 | − | 4676.54i | −0.405377 | − | 0.702133i | ||||
\(355\) | −4185.00 | + | 7248.63i | −0.625681 | + | 1.08371i | ||||
\(356\) | 498.000 | 0.0741403 | ||||||||
\(357\) | 333.000 | − | 576.773i | 0.0493676 | − | 0.0855072i | ||||
\(358\) | 711.000 | − | 1231.49i | 0.104965 | − | 0.181805i | ||||
\(359\) | −1098.00 | −0.161421 | −0.0807106 | − | 0.996738i | \(-0.525719\pi\) | ||||
−0.0807106 | + | 0.996738i | \(0.525719\pi\) | |||||||
\(360\) | −850.500 | + | 1473.11i | −0.124515 | + | 0.215666i | ||||
\(361\) | 2371.50 | + | 4107.56i | 0.345750 | + | 0.598857i | ||||
\(362\) | −3373.50 | − | 5843.07i | −0.489799 | − | 0.848357i | ||||
\(363\) | −1293.00 | −0.186956 | ||||||||
\(364\) | −91.0000 | − | 22.5167i | −0.0131036 | − | 0.00324229i | ||||
\(365\) | 2277.00 | 0.326530 | ||||||||
\(366\) | −1048.50 | − | 1816.06i | −0.149743 | − | 0.259363i | ||||
\(367\) | 2867.00 | + | 4965.79i | 0.407783 | + | 0.706300i | 0.994641 | − | 0.103390i | \(-0.0329688\pi\) |
−0.586858 | + | 0.809690i | \(0.699635\pi\) | |||||||
\(368\) | −213.000 | + | 368.927i | −0.0301723 | + | 0.0522599i | ||||
\(369\) | −2079.00 | −0.293302 | ||||||||
\(370\) | 229.500 | − | 397.506i | 0.0322463 | − | 0.0558523i | ||||
\(371\) | −639.000 | + | 1106.78i | −0.0894211 | + | 0.154882i | ||||
\(372\) | −300.000 | −0.0418126 | ||||||||
\(373\) | 4485.50 | − | 7769.11i | 0.622655 | − | 1.07847i | −0.366334 | − | 0.930483i | \(-0.619387\pi\) |
0.988989 | − | 0.147987i | \(-0.0472794\pi\) | |||||||
\(374\) | 4995.00 | + | 8651.59i | 0.690602 | + | 1.19616i | ||||
\(375\) | −2281.50 | − | 3951.67i | −0.314176 | − | 0.544170i | ||||
\(376\) | 3402.00 | 0.466608 | ||||||||
\(377\) | 4777.50 | + | 1182.12i | 0.652663 | + | 0.161492i | ||||
\(378\) | 162.000 | 0.0220433 | ||||||||
\(379\) | −3622.00 | − | 6273.49i | −0.490896 | − | 0.850257i | 0.509049 | − | 0.860738i | \(-0.329997\pi\) |
−0.999945 | + | 0.0104805i | \(0.996664\pi\) | |||||||
\(380\) | −207.000 | − | 358.535i | −0.0279444 | − | 0.0484011i | ||||
\(381\) | 906.000 | − | 1569.24i | 0.121826 | − | 0.211009i | ||||
\(382\) | 10332.0 | 1.38385 | ||||||||
\(383\) | 3156.00 | − | 5466.35i | 0.421055 | − | 0.729289i | −0.574988 | − | 0.818162i | \(-0.694993\pi\) |
0.996043 | + | 0.0888732i | \(0.0283266\pi\) | |||||||
\(384\) | −2488.50 | + | 4310.21i | −0.330705 | + | 0.572798i | ||||
\(385\) | −540.000 | −0.0714830 | ||||||||
\(386\) | 6409.50 | − | 11101.6i | 0.845168 | − | 1.46387i | ||||
\(387\) | 2313.00 | + | 4006.23i | 0.303815 | + | 0.526223i | ||||
\(388\) | −679.000 | − | 1176.06i | −0.0888428 | − | 0.153880i | ||||
\(389\) | 3627.00 | 0.472741 | 0.236370 | − | 0.971663i | \(-0.424042\pi\) | ||||
0.236370 | + | 0.971663i | \(0.424042\pi\) | |||||||
\(390\) | −1053.00 | − | 3647.70i | −0.136720 | − | 0.473611i | ||||
\(391\) | 666.000 | 0.0861408 | ||||||||
\(392\) | −3559.50 | − | 6165.23i | −0.458627 | − | 0.794366i | ||||
\(393\) | 2376.00 | + | 4115.35i | 0.304970 | + | 0.528224i | ||||
\(394\) | 2979.00 | − | 5159.78i | 0.380913 | − | 0.659761i | ||||
\(395\) | 11916.0 | 1.51787 | ||||||||
\(396\) | −135.000 | + | 233.827i | −0.0171313 | + | 0.0296723i | ||||
\(397\) | 1949.00 | − | 3375.77i | 0.246392 | − | 0.426763i | −0.716130 | − | 0.697967i | \(-0.754088\pi\) |
0.962522 | + | 0.271204i | \(0.0874217\pi\) | |||||||
\(398\) | −7158.00 | −0.901503 | ||||||||
\(399\) | 138.000 | − | 239.023i | 0.0173149 | − | 0.0299903i | ||||
\(400\) | −1562.00 | − | 2705.46i | −0.195250 | − | 0.338183i | ||||
\(401\) | 2851.50 | + | 4938.94i | 0.355105 | + | 0.615060i | 0.987136 | − | 0.159883i | \(-0.0511118\pi\) |
−0.632031 | + | 0.774943i | \(0.717778\pi\) | |||||||
\(402\) | 8334.00 | 1.03399 | ||||||||
\(403\) | −3250.00 | + | 3377.50i | −0.401722 | + | 0.417482i | ||||
\(404\) | −357.000 | −0.0439639 | ||||||||
\(405\) | 364.500 | + | 631.333i | 0.0447214 | + | 0.0774597i | ||||
\(406\) | 315.000 | + | 545.596i | 0.0385054 | + | 0.0666933i | ||||
\(407\) | −255.000 | + | 441.673i | −0.0310562 | + | 0.0537909i | ||||
\(408\) | 6993.00 | 0.848542 | ||||||||
\(409\) | −3155.50 | + | 5465.49i | −0.381490 | + | 0.660760i | −0.991275 | − | 0.131806i | \(-0.957922\pi\) |
0.609785 | + | 0.792567i | \(0.291256\pi\) | |||||||
\(410\) | −3118.50 | + | 5401.40i | −0.375638 | + | 0.650625i | ||||
\(411\) | 2151.00 | 0.258153 | ||||||||
\(412\) | −559.000 | + | 968.216i | −0.0668445 | + | 0.115778i | ||||
\(413\) | −600.000 | − | 1039.23i | −0.0714869 | − | 0.123819i | ||||
\(414\) | 81.0000 | + | 140.296i | 0.00961578 | + | 0.0166550i | ||||
\(415\) | −7290.00 | −0.862294 | ||||||||
\(416\) | −585.000 | − | 2026.50i | −0.0689471 | − | 0.238840i | ||||
\(417\) | −2460.00 | −0.288889 | ||||||||
\(418\) | 2070.00 | + | 3585.35i | 0.242218 | + | 0.419533i | ||||
\(419\) | 1164.00 | + | 2016.11i | 0.135716 | + | 0.235067i | 0.925871 | − | 0.377840i | \(-0.123333\pi\) |
−0.790155 | + | 0.612908i | \(0.790000\pi\) | |||||||
\(420\) | 27.0000 | − | 46.7654i | 0.00313682 | − | 0.00543313i | ||||
\(421\) | 2045.00 | 0.236739 | 0.118370 | − | 0.992970i | \(-0.462233\pi\) | ||||
0.118370 | + | 0.992970i | \(0.462233\pi\) | |||||||
\(422\) | 2400.00 | − | 4156.92i | 0.276849 | − | 0.479516i | ||||
\(423\) | 729.000 | − | 1262.67i | 0.0837948 | − | 0.145137i | ||||
\(424\) | −13419.0 | −1.53699 | ||||||||
\(425\) | −2442.00 | + | 4229.67i | −0.278716 | + | 0.482751i | ||||
\(426\) | 4185.00 | + | 7248.63i | 0.475972 | + | 0.824407i | ||||
\(427\) | −233.000 | − | 403.568i | −0.0264067 | − | 0.0457377i | ||||
\(428\) | 714.000 | 0.0806367 | ||||||||
\(429\) | 1170.00 | + | 4053.00i | 0.131674 | + | 0.456132i | ||||
\(430\) | 13878.0 | 1.55641 | ||||||||
\(431\) | −2517.00 | − | 4359.57i | −0.281298 | − | 0.487223i | 0.690406 | − | 0.723422i | \(-0.257432\pi\) |
−0.971705 | + | 0.236199i | \(0.924098\pi\) | |||||||
\(432\) | 958.500 | + | 1660.17i | 0.106750 | + | 0.184896i | ||||
\(433\) | −2141.50 | + | 3709.19i | −0.237676 | + | 0.411668i | −0.960047 | − | 0.279838i | \(-0.909719\pi\) |
0.722371 | + | 0.691506i | \(0.243052\pi\) | |||||||
\(434\) | −600.000 | −0.0663616 | ||||||||
\(435\) | −1417.50 | + | 2455.18i | −0.156239 | + | 0.270614i | ||||
\(436\) | −1003.00 | + | 1737.25i | −0.110172 | + | 0.190823i | ||||
\(437\) | 276.000 | 0.0302125 | ||||||||
\(438\) | 1138.50 | − | 1971.94i | 0.124200 | − | 0.215121i | ||||
\(439\) | 653.000 | + | 1131.03i | 0.0709931 | + | 0.122964i | 0.899337 | − | 0.437257i | \(-0.144050\pi\) |
−0.828344 | + | 0.560220i | \(0.810716\pi\) | |||||||
\(440\) | −2835.00 | − | 4910.36i | −0.307167 | − | 0.532028i | ||||
\(441\) | −3051.00 | −0.329446 | ||||||||
\(442\) | −10822.5 | + | 11247.1i | −1.16465 | + | 1.21034i | ||||
\(443\) | −5796.00 | −0.621617 | −0.310808 | − | 0.950473i | \(-0.600600\pi\) | ||||
−0.310808 | + | 0.950473i | \(0.600600\pi\) | |||||||
\(444\) | −25.5000 | − | 44.1673i | −0.00272562 | − | 0.00472092i | ||||
\(445\) | 2241.00 | + | 3881.53i | 0.238727 | + | 0.413488i | ||||
\(446\) | 5748.00 | − | 9955.83i | 0.610259 | − | 1.05700i | ||||
\(447\) | −5247.00 | −0.555200 | ||||||||
\(448\) | −433.000 | + | 749.978i | −0.0456637 | + | 0.0790918i | ||||
\(449\) | −1353.00 | + | 2343.46i | −0.142209 | + | 0.246314i | −0.928328 | − | 0.371761i | \(-0.878754\pi\) |
0.786119 | + | 0.618075i | \(0.212087\pi\) | |||||||
\(450\) | −1188.00 | −0.124451 | ||||||||
\(451\) | 3465.00 | − | 6001.56i | 0.361775 | − | 0.626612i | ||||
\(452\) | 559.500 | + | 969.082i | 0.0582227 | + | 0.100845i | ||||
\(453\) | 555.000 | + | 961.288i | 0.0575633 | + | 0.0997026i | ||||
\(454\) | −4194.00 | −0.433555 | ||||||||
\(455\) | −234.000 | − | 810.600i | −0.0241101 | − | 0.0835198i | ||||
\(456\) | 2898.00 | 0.297612 | ||||||||
\(457\) | 414.500 | + | 717.935i | 0.0424278 | + | 0.0734871i | 0.886459 | − | 0.462806i | \(-0.153157\pi\) |
−0.844032 | + | 0.536293i | \(0.819824\pi\) | |||||||
\(458\) | −6699.00 | − | 11603.0i | −0.683458 | − | 1.18378i | ||||
\(459\) | 1498.50 | − | 2595.48i | 0.152383 | − | 0.263936i | ||||
\(460\) | 54.0000 | 0.00547340 | ||||||||
\(461\) | 2746.50 | − | 4757.08i | 0.277478 | − | 0.480606i | −0.693279 | − | 0.720669i | \(-0.743835\pi\) |
0.970757 | + | 0.240063i | \(0.0771682\pi\) | |||||||
\(462\) | −270.000 | + | 467.654i | −0.0271895 | + | 0.0470935i | ||||
\(463\) | −15346.0 | −1.54037 | −0.770183 | − | 0.637823i | \(-0.779835\pi\) | ||||
−0.770183 | + | 0.637823i | \(0.779835\pi\) | |||||||
\(464\) | −3727.50 | + | 6456.22i | −0.372941 | + | 0.645954i | ||||
\(465\) | −1350.00 | − | 2338.27i | −0.134634 | − | 0.233193i | ||||
\(466\) | 2457.00 | + | 4255.65i | 0.244245 | + | 0.423045i | ||||
\(467\) | −9594.00 | −0.950658 | −0.475329 | − | 0.879808i | \(-0.657671\pi\) | ||||
−0.475329 | + | 0.879808i | \(0.657671\pi\) | |||||||
\(468\) | −409.500 | − | 101.325i | −0.0404469 | − | 0.0100080i | ||||
\(469\) | 1852.00 | 0.182340 | ||||||||
\(470\) | −2187.00 | − | 3788.00i | −0.214636 | − | 0.371760i | ||||
\(471\) | 3916.50 | + | 6783.58i | 0.383148 | + | 0.663632i | ||||
\(472\) | 6300.00 | − | 10911.9i | 0.614367 | − | 1.06411i | ||||
\(473\) | −15420.0 | −1.49897 | ||||||||
\(474\) | 5958.00 | − | 10319.6i | 0.577342 | − | 0.999985i | ||||
\(475\) | −1012.00 | + | 1752.84i | −0.0977553 | + | 0.169317i | ||||
\(476\) | −222.000 | −0.0213768 | ||||||||
\(477\) | −2875.50 | + | 4980.51i | −0.276017 | + | 0.478075i | ||||
\(478\) | 891.000 | + | 1543.26i | 0.0852581 | + | 0.147671i | ||||
\(479\) | 6420.00 | + | 11119.8i | 0.612395 | + | 1.06070i | 0.990836 | + | 0.135074i | \(0.0431272\pi\) |
−0.378440 | + | 0.925626i | \(0.623539\pi\) | |||||||
\(480\) | 1215.00 | 0.115535 | ||||||||
\(481\) | −773.500 | − | 191.392i | −0.0733234 | − | 0.0181428i | ||||
\(482\) | 6909.00 | 0.652897 | ||||||||
\(483\) | 18.0000 | + | 31.1769i | 0.00169571 | + | 0.00293706i | ||||
\(484\) | 215.500 | + | 373.257i | 0.0202385 | + | 0.0350542i | ||||
\(485\) | 6111.00 | − | 10584.6i | 0.572137 | − | 0.990970i | ||||
\(486\) | 729.000 | 0.0680414 | ||||||||
\(487\) | 7043.00 | − | 12198.8i | 0.655336 | − | 1.13508i | −0.326473 | − | 0.945207i | \(-0.605860\pi\) |
0.981809 | − | 0.189869i | \(-0.0608064\pi\) | |||||||
\(488\) | 2446.50 | − | 4237.46i | 0.226942 | − | 0.393076i | ||||
\(489\) | −4908.00 | −0.453880 | ||||||||
\(490\) | −4576.50 | + | 7926.73i | −0.421929 | + | 0.730802i | ||||
\(491\) | −5847.00 | − | 10127.3i | −0.537416 | − | 0.930832i | −0.999042 | − | 0.0437577i | \(-0.986067\pi\) |
0.461626 | − | 0.887075i | \(-0.347266\pi\) | |||||||
\(492\) | 346.500 | + | 600.156i | 0.0317509 | + | 0.0549941i | ||||
\(493\) | 11655.0 | 1.06474 | ||||||||
\(494\) | −4485.00 | + | 4660.95i | −0.408481 | + | 0.424506i | ||||
\(495\) | −2430.00 | −0.220647 | ||||||||
\(496\) | −3550.00 | − | 6148.78i | −0.321370 | − | 0.556630i | ||||
\(497\) | 930.000 | + | 1610.81i | 0.0839360 | + | 0.145381i | ||||
\(498\) | −3645.00 | + | 6313.33i | −0.327985 | + | 0.568086i | ||||
\(499\) | −3688.00 | −0.330857 | −0.165428 | − | 0.986222i | \(-0.552901\pi\) | ||||
−0.165428 | + | 0.986222i | \(0.552901\pi\) | |||||||
\(500\) | −760.500 | + | 1317.22i | −0.0680212 | + | 0.117816i | ||||
\(501\) | −396.000 | + | 685.892i | −0.0353133 | + | 0.0611645i | ||||
\(502\) | 18972.0 | 1.68678 | ||||||||
\(503\) | 2373.00 | − | 4110.16i | 0.210352 | − | 0.364340i | −0.741473 | − | 0.670983i | \(-0.765872\pi\) |
0.951825 | + | 0.306643i | \(0.0992058\pi\) | |||||||
\(504\) | 189.000 | + | 327.358i | 0.0167038 | + | 0.0289319i | ||||
\(505\) | −1606.50 | − | 2782.54i | −0.141561 | − | 0.245191i | ||||
\(506\) | −540.000 | −0.0474425 | ||||||||
\(507\) | −5577.00 | + | 3512.60i | −0.488527 | + | 0.307692i | ||||
\(508\) | −604.000 | −0.0527523 | ||||||||
\(509\) | 7252.50 | + | 12561.7i | 0.631555 | + | 1.09389i | 0.987234 | + | 0.159277i | \(0.0509163\pi\) |
−0.355679 | + | 0.934608i | \(0.615750\pi\) | |||||||
\(510\) | −4495.50 | − | 7786.43i | −0.390322 | − | 0.676057i | ||||
\(511\) | 253.000 | − | 438.209i | 0.0219023 | − | 0.0379358i | ||||
\(512\) | −8733.00 | −0.753804 | ||||||||
\(513\) | 621.000 | − | 1075.60i | 0.0534460 | − | 0.0925713i | ||||
\(514\) | −11749.5 | + | 20350.7i | −1.00827 | + | 1.74637i | ||||
\(515\) | −10062.0 | −0.860941 | ||||||||
\(516\) | 771.000 | − | 1335.41i | 0.0657779 | − | 0.113931i | ||||
\(517\) | 2430.00 | + | 4208.88i | 0.206714 | + | 0.358040i | ||||
\(518\) | −51.0000 | − | 88.3346i | −0.00432589 | − | 0.00749266i | ||||
\(519\) | 4230.00 | 0.357758 | ||||||||
\(520\) | 6142.50 | − | 6383.47i | 0.518012 | − | 0.538334i | ||||
\(521\) | 5085.00 | 0.427597 | 0.213798 | − | 0.976878i | \(-0.431416\pi\) | ||||
0.213798 | + | 0.976878i | \(0.431416\pi\) | |||||||
\(522\) | 1417.50 | + | 2455.18i | 0.118855 | + | 0.205863i | ||||
\(523\) | 5441.00 | + | 9424.09i | 0.454911 | + | 0.787929i | 0.998683 | − | 0.0513043i | \(-0.0163378\pi\) |
−0.543772 | + | 0.839233i | \(0.683004\pi\) | |||||||
\(524\) | 792.000 | − | 1371.78i | 0.0660280 | − | 0.114364i | ||||
\(525\) | −264.000 | −0.0219465 | ||||||||
\(526\) | 4545.00 | − | 7872.17i | 0.376752 | − | 0.652553i | ||||
\(527\) | −5550.00 | + | 9612.88i | −0.458751 | + | 0.794580i | ||||
\(528\) | −6390.00 | −0.526684 | ||||||||
\(529\) | 6065.50 | − | 10505.8i | 0.498521 | − | 0.863463i | ||||
\(530\) | 8626.50 | + | 14941.5i | 0.707002 | + | 1.22456i | ||||
\(531\) | −2700.00 | − | 4676.54i | −0.220659 | − | 0.382193i | ||||
\(532\) | −92.0000 | −0.00749757 | ||||||||
\(533\) | 10510.5 | + | 2600.67i | 0.854147 | + | 0.211347i | ||||
\(534\) | 4482.00 | 0.363212 | ||||||||
\(535\) | 3213.00 | + | 5565.08i | 0.259645 | + | 0.449718i | ||||
\(536\) | 9723.00 | + | 16840.7i | 0.783525 | + | 1.35711i | ||||
\(537\) | 711.000 | − | 1231.49i | 0.0571358 | − | 0.0989621i | ||||
\(538\) | −1602.00 | −0.128378 | ||||||||
\(539\) | 5085.00 | − | 8807.48i | 0.406357 | − | 0.703831i | ||||
\(540\) | 121.500 | − | 210.444i | 0.00968246 | − | 0.0167705i | ||||
\(541\) | −4699.00 | −0.373430 | −0.186715 | − | 0.982414i | \(-0.559784\pi\) | ||||
−0.186715 | + | 0.982414i | \(0.559784\pi\) | |||||||
\(542\) | 5532.00 | − | 9581.71i | 0.438413 | − | 0.759353i | ||||
\(543\) | −3373.50 | − | 5843.07i | −0.266613 | − | 0.461787i | ||||
\(544\) | −2497.50 | − | 4325.80i | −0.196837 | − | 0.340932i | ||||
\(545\) | −18054.0 | −1.41899 | ||||||||
\(546\) | −819.000 | − | 202.650i | −0.0641941 | − | 0.0158839i | ||||
\(547\) | 8270.00 | 0.646434 | 0.323217 | − | 0.946325i | \(-0.395236\pi\) | ||||
0.323217 | + | 0.946325i | \(0.395236\pi\) | |||||||
\(548\) | −358.500 | − | 620.940i | −0.0279459 | − | 0.0484037i | ||||
\(549\) | −1048.50 | − | 1816.06i | −0.0815098 | − | 0.141179i | ||||
\(550\) | 1980.00 | − | 3429.46i | 0.153505 | − | 0.265878i | ||||
\(551\) | 4830.00 | 0.373439 | ||||||||
\(552\) | −189.000 | + | 327.358i | −0.0145731 | + | 0.0252414i | ||||
\(553\) | 1324.00 | − | 2293.24i | 0.101812 | − | 0.176344i | ||||
\(554\) | 5595.00 | 0.429077 | ||||||||
\(555\) | 229.500 | − | 397.506i | 0.0175527 | − | 0.0304021i | ||||
\(556\) | 410.000 | + | 710.141i | 0.0312732 | + | 0.0541667i | ||||
\(557\) | 11392.5 | + | 19732.4i | 0.866635 | + | 1.50106i | 0.865414 | + | 0.501057i | \(0.167055\pi\) |
0.00122056 | + | 0.999999i | \(0.499611\pi\) | |||||||
\(558\) | −2700.00 | −0.204839 | ||||||||
\(559\) | −6682.00 | − | 23147.1i | −0.505579 | − | 1.75138i | ||||
\(560\) | 1278.00 | 0.0964381 | ||||||||
\(561\) | 4995.00 | + | 8651.59i | 0.375916 | + | 0.651106i | ||||
\(562\) | −4495.50 | − | 7786.43i | −0.337422 | − | 0.584432i | ||||
\(563\) | 5964.00 | − | 10330.0i | 0.446452 | − | 0.773278i | −0.551700 | − | 0.834043i | \(-0.686021\pi\) |
0.998152 | + | 0.0607647i | \(0.0193539\pi\) | |||||||
\(564\) | −486.000 | −0.0362842 | ||||||||
\(565\) | −5035.50 | + | 8721.74i | −0.374947 | + | 0.649427i | ||||
\(566\) | 6171.00 | − | 10688.5i | 0.458280 | − | 0.793764i | ||||
\(567\) | 162.000 | 0.0119989 | ||||||||
\(568\) | −9765.00 | + | 16913.5i | −0.721356 | + | 1.24943i | ||||
\(569\) | 3981.00 | + | 6895.29i | 0.293308 | + | 0.508024i | 0.974590 | − | 0.223997i | \(-0.0719106\pi\) |
−0.681282 | + | 0.732021i | \(0.738577\pi\) | |||||||
\(570\) | −1863.00 | − | 3226.81i | −0.136899 | − | 0.237116i | ||||
\(571\) | 20618.0 | 1.51110 | 0.755549 | − | 0.655093i | \(-0.227370\pi\) | ||||
0.755549 | + | 0.655093i | \(0.227370\pi\) | |||||||
\(572\) | 975.000 | − | 1013.25i | 0.0712706 | − | 0.0740666i | ||||
\(573\) | 10332.0 | 0.753273 | ||||||||
\(574\) | 693.000 | + | 1200.31i | 0.0503924 | + | 0.0872823i | ||||
\(575\) | −132.000 | − | 228.631i | −0.00957353 | − | 0.0165818i | ||||
\(576\) | −1948.50 | + | 3374.90i | −0.140951 | + | 0.244133i | ||||
\(577\) | −3493.00 | −0.252020 | −0.126010 | − | 0.992029i | \(-0.540217\pi\) | ||||
−0.126010 | + | 0.992029i | \(0.540217\pi\) | |||||||
\(578\) | −11112.0 | + | 19246.5i | −0.799651 | + | 1.38504i | ||||
\(579\) | 6409.50 | − | 11101.6i | 0.460051 | − | 0.796832i | ||||
\(580\) | 945.000 | 0.0676534 | ||||||||
\(581\) | −810.000 | + | 1402.96i | −0.0578390 | + | 0.100180i | ||||
\(582\) | −6111.00 | − | 10584.6i | −0.435239 | − | 0.753856i | ||||
\(583\) | −9585.00 | − | 16601.7i | −0.680909 | − | 1.17937i | ||||
\(584\) | 5313.00 | 0.376461 | ||||||||
\(585\) | −1053.00 | − | 3647.70i | −0.0744208 | − | 0.257801i | ||||
\(586\) | −13995.0 | −0.986567 | ||||||||
\(587\) | −5208.00 | − | 9020.52i | −0.366196 | − | 0.634270i | 0.622771 | − | 0.782404i | \(-0.286007\pi\) |
−0.988967 | + | 0.148134i | \(0.952673\pi\) | |||||||
\(588\) | 508.500 | + | 880.748i | 0.0356636 | + | 0.0617711i | ||||
\(589\) | −2300.00 | + | 3983.72i | −0.160900 | + | 0.278686i | ||||
\(590\) | −16200.0 | −1.13041 | ||||||||
\(591\) | 2979.00 | − | 5159.78i | 0.207343 | − | 0.359129i | ||||
\(592\) | 603.500 | − | 1045.29i | 0.0418981 | − | 0.0725697i | ||||
\(593\) | 2061.00 | 0.142724 | 0.0713618 | − | 0.997450i | \(-0.477266\pi\) | ||||
0.0713618 | + | 0.997450i | \(0.477266\pi\) | |||||||
\(594\) | −1215.00 | + | 2104.44i | −0.0839260 | + | 0.145364i | ||||
\(595\) | −999.000 | − | 1730.32i | −0.0688319 | − | 0.119220i | ||||
\(596\) | 874.500 | + | 1514.68i | 0.0601022 | + | 0.104100i | ||||
\(597\) | −7158.00 | −0.490716 | ||||||||
\(598\) | −234.000 | − | 810.600i | −0.0160016 | − | 0.0554313i | ||||
\(599\) | 12456.0 | 0.849647 | 0.424823 | − | 0.905276i | \(-0.360336\pi\) | ||||
0.424823 | + | 0.905276i | \(0.360336\pi\) | |||||||
\(600\) | −1386.00 | − | 2400.62i | −0.0943054 | − | 0.163342i | ||||
\(601\) | 390.500 | + | 676.366i | 0.0265039 | + | 0.0459061i | 0.878973 | − | 0.476871i | \(-0.158229\pi\) |
−0.852469 | + | 0.522777i | \(0.824896\pi\) | |||||||
\(602\) | 1542.00 | − | 2670.82i | 0.104397 | − | 0.180822i | ||||
\(603\) | 8334.00 | 0.562830 | ||||||||
\(604\) | 185.000 | − | 320.429i | 0.0124628 | − | 0.0215862i | ||||
\(605\) | −1939.50 | + | 3359.31i | −0.130334 | + | 0.225745i | ||||
\(606\) | −3213.00 | −0.215378 | ||||||||
\(607\) | −9652.00 | + | 16717.8i | −0.645408 | + | 1.11788i | 0.338799 | + | 0.940859i | \(0.389979\pi\) |
−0.984207 | + | 0.177021i | \(0.943354\pi\) | |||||||
\(608\) | −1035.00 | − | 1792.67i | −0.0690375 | − | 0.119576i | ||||
\(609\) | 315.000 | + | 545.596i | 0.0209597 | + | 0.0363032i | ||||
\(610\) | −6291.00 | −0.417566 | ||||||||
\(611\) | −5265.00 | + | 5471.55i | −0.348607 | + | 0.362283i | ||||
\(612\) | −999.000 | −0.0659840 | ||||||||
\(613\) | −6020.50 | − | 10427.8i | −0.396681 | − | 0.687072i | 0.596633 | − | 0.802514i | \(-0.296505\pi\) |
−0.993314 | + | 0.115442i | \(0.963172\pi\) | |||||||
\(614\) | −2253.00 | − | 3902.31i | −0.148084 | − | 0.256489i | ||||
\(615\) | −3118.50 | + | 5401.40i | −0.204472 | + | 0.354155i | ||||
\(616\) | −1260.00 | −0.0824137 | ||||||||
\(617\) | −4858.50 | + | 8415.17i | −0.317011 | + | 0.549079i | −0.979863 | − | 0.199671i | \(-0.936013\pi\) |
0.662852 | + | 0.748751i | \(0.269346\pi\) | |||||||
\(618\) | −5031.00 | + | 8713.95i | −0.327470 | + | 0.567195i | ||||
\(619\) | −21040.0 | −1.36619 | −0.683093 | − | 0.730332i | \(-0.739366\pi\) | ||||
−0.683093 | + | 0.730332i | \(0.739366\pi\) | |||||||
\(620\) | −450.000 | + | 779.423i | −0.0291491 | + | 0.0504877i | ||||
\(621\) | 81.0000 | + | 140.296i | 0.00523417 | + | 0.00906584i | ||||
\(622\) | −3159.00 | − | 5471.55i | −0.203640 | − | 0.352716i | ||||
\(623\) | 996.000 | 0.0640512 | ||||||||
\(624\) | −2769.00 | − | 9592.10i | −0.177642 | − | 0.615371i | ||||
\(625\) | −8189.00 | −0.524096 | ||||||||
\(626\) | 5847.00 | + | 10127.3i | 0.373312 | + | 0.646595i | ||||
\(627\) | 2070.00 | + | 3585.35i | 0.131847 | + | 0.228365i | ||||
\(628\) | 1305.50 | − | 2261.19i | 0.0829540 | − | 0.143681i | ||||
\(629\) | −1887.00 | −0.119618 | ||||||||
\(630\) | 243.000 | − | 420.888i | 0.0153672 | − | 0.0266168i | ||||
\(631\) | 2534.00 | − | 4389.02i | 0.159868 | − | 0.276900i | −0.774953 | − | 0.632019i | \(-0.782226\pi\) |
0.934821 | + | 0.355119i | \(0.115560\pi\) | |||||||
\(632\) | 27804.0 | 1.74997 | ||||||||
\(633\) | 2400.00 | − | 4156.92i | 0.150697 | − | 0.261016i | ||||
\(634\) | −14026.5 | − | 24294.6i | −0.878649 | − | 1.52186i | ||||
\(635\) | −2718.00 | − | 4707.71i | −0.169859 | − | 0.294205i | ||||
\(636\) | 1917.00 | 0.119519 | ||||||||
\(637\) | 15424.5 | + | 3816.57i | 0.959405 | + | 0.237391i | ||||
\(638\) | −9450.00 | −0.586409 | ||||||||
\(639\) | 4185.00 | + | 7248.63i | 0.259086 | + | 0.448750i | ||||
\(640\) | 7465.50 | + | 12930.6i | 0.461093 | + | 0.798637i | ||||
\(641\) | −5092.50 | + | 8820.47i | −0.313794 | + | 0.543506i | −0.979180 | − | 0.202992i | \(-0.934933\pi\) |
0.665387 | + | 0.746499i | \(0.268267\pi\) | |||||||
\(642\) | 6426.00 | 0.395037 | ||||||||
\(643\) | −12964.0 | + | 22454.3i | −0.795101 | + | 1.37716i | 0.127673 | + | 0.991816i | \(0.459249\pi\) |
−0.922775 | + | 0.385340i | \(0.874084\pi\) | |||||||
\(644\) | 6.00000 | − | 10.3923i | 0.000367132 | − | 0.000635892i | ||||
\(645\) | 13878.0 | 0.847203 | ||||||||
\(646\) | −7659.00 | + | 13265.8i | −0.466470 | + | 0.807949i | ||||
\(647\) | −11580.0 | − | 20057.1i | −0.703643 | − | 1.21874i | −0.967179 | − | 0.254095i | \(-0.918222\pi\) |
0.263537 | − | 0.964649i | \(-0.415111\pi\) | |||||||
\(648\) | 850.500 | + | 1473.11i | 0.0515599 | + | 0.0893043i | ||||
\(649\) | 18000.0 | 1.08869 | ||||||||
\(650\) | 6006.00 | + | 1486.10i | 0.362423 | + | 0.0896763i | ||||
\(651\) | −600.000 | −0.0361227 | ||||||||
\(652\) | 818.000 | + | 1416.82i | 0.0491340 | + | 0.0851025i | ||||
\(653\) | −8313.00 | − | 14398.5i | −0.498182 | − | 0.862876i | 0.501816 | − | 0.864974i | \(-0.332666\pi\) |
−0.999998 | + | 0.00209801i | \(0.999332\pi\) | |||||||
\(654\) | −9027.00 | + | 15635.2i | −0.539730 | + | 0.934840i | ||||
\(655\) | 14256.0 | 0.850424 | ||||||||
\(656\) | −8200.50 | + | 14203.7i | −0.488073 | + | 0.845367i | ||||
\(657\) | 1138.50 | − | 1971.94i | 0.0676060 | − | 0.117097i | ||||
\(658\) | −972.000 | −0.0575874 | ||||||||
\(659\) | 7404.00 | − | 12824.1i | 0.437661 | − | 0.758052i | −0.559847 | − | 0.828596i | \(-0.689140\pi\) |
0.997509 | + | 0.0705440i | \(0.0224735\pi\) | |||||||
\(660\) | 405.000 | + | 701.481i | 0.0238858 | + | 0.0413714i | ||||
\(661\) | −2426.50 | − | 4202.82i | −0.142784 | − | 0.247308i | 0.785760 | − | 0.618531i | \(-0.212272\pi\) |
−0.928544 | + | 0.371223i | \(0.878939\pi\) | |||||||
\(662\) | −27516.0 | −1.61547 | ||||||||
\(663\) | −10822.5 | + | 11247.1i | −0.633953 | + | 0.658824i | ||||
\(664\) | −17010.0 | −0.994151 | ||||||||
\(665\) | −414.000 | − | 717.069i | −0.0241417 | − | 0.0418147i | ||||
\(666\) | −229.500 | − | 397.506i | −0.0133528 | − | 0.0231277i | ||||
\(667\) | −315.000 | + | 545.596i | −0.0182861 | + | 0.0316725i | ||||
\(668\) | 264.000 | 0.0152911 | ||||||||
\(669\) | 5748.00 | − | 9955.83i | 0.332183 | − | 0.575358i | ||||
\(670\) | 12501.0 | − | 21652.4i | 0.720829 | − | 1.24851i | ||||
\(671\) | 6990.00 | 0.402155 | ||||||||
\(672\) | 135.000 | − | 233.827i | 0.00774961 | − | 0.0134227i | ||||
\(673\) | 8082.50 | + | 13999.3i | 0.462938 | + | 0.801833i | 0.999106 | − | 0.0422789i | \(-0.0134618\pi\) |
−0.536168 | + | 0.844112i | \(0.680128\pi\) | |||||||
\(674\) | 16633.5 | + | 28810.1i | 0.950591 | + | 1.64647i | ||||
\(675\) | −1188.00 | −0.0677424 | ||||||||
\(676\) | 1943.50 | + | 1024.51i | 0.110577 | + | 0.0582902i | ||||
\(677\) | −25686.0 | −1.45819 | −0.729094 | − | 0.684414i | \(-0.760058\pi\) | ||||
−0.729094 | + | 0.684414i | \(0.760058\pi\) | |||||||
\(678\) | 5035.50 | + | 8721.74i | 0.285232 | + | 0.494036i | ||||
\(679\) | −1358.00 | − | 2352.12i | −0.0767530 | − | 0.132940i | ||||
\(680\) | 10489.5 | − | 18168.3i | 0.591550 | − | 1.02459i | ||||
\(681\) | −4194.00 | −0.235998 | ||||||||
\(682\) | 4500.00 | − | 7794.23i | 0.252660 | − | 0.437619i | ||||
\(683\) | 9528.00 | − | 16503.0i | 0.533790 | − | 0.924552i | −0.465431 | − | 0.885084i | \(-0.654100\pi\) |
0.999221 | − | 0.0394675i | \(-0.0125662\pi\) | |||||||
\(684\) | −414.000 | −0.0231428 | ||||||||
\(685\) | 3226.50 | − | 5588.46i | 0.179968 | − | 0.311714i | ||||
\(686\) | 2046.00 | + | 3543.78i | 0.113873 | + | 0.197233i | ||||
\(687\) | −6699.00 | − | 11603.0i | −0.372027 | − | 0.644370i | ||||
\(688\) | 36494.0 | 2.02227 | ||||||||
\(689\) | 20767.5 | − | 21582.2i | 1.14830 | − | 1.19335i | ||||
\(690\) | 486.000 | 0.0268141 | ||||||||
\(691\) | 8195.00 | + | 14194.2i | 0.451161 | + | 0.781434i | 0.998458 | − | 0.0555040i | \(-0.0176766\pi\) |
−0.547297 | + | 0.836938i | \(0.684343\pi\) | |||||||
\(692\) | −705.000 | − | 1221.10i | −0.0387284 | − | 0.0670796i | ||||
\(693\) | −270.000 | + | 467.654i | −0.0148001 | + | 0.0256345i | ||||
\(694\) | 29286.0 | 1.60185 | ||||||||
\(695\) | −3690.00 | + | 6391.27i | −0.201395 | + | 0.348827i | ||||
\(696\) | −3307.50 | + | 5728.76i | −0.180130 | + | 0.311994i | ||||
\(697\) | 25641.0 | 1.39343 | ||||||||
\(698\) | 12435.0 | − | 21538.1i | 0.674315 | − | 1.16795i | ||||
\(699\) | 2457.00 | + | 4255.65i | 0.132950 | + | 0.230277i | ||||
\(700\) | 44.0000 | + | 76.2102i | 0.00237578 | + | 0.00411497i | ||||
\(701\) | −27846.0 | −1.50033 | −0.750163 | − | 0.661253i | \(-0.770025\pi\) | ||||
−0.750163 | + | 0.661253i | \(0.770025\pi\) | |||||||
\(702\) | −3685.50 | − | 911.925i | −0.198148 | − | 0.0490290i | ||||
\(703\) | −782.000 | −0.0419540 | ||||||||
\(704\) | −6495.00 | − | 11249.7i | −0.347712 | − | 0.602256i | ||||
\(705\) | −2187.00 | − | 3788.00i | −0.116833 | − | 0.202360i | ||||
\(706\) | −18607.5 | + | 32229.1i | −0.991930 | + | 1.71807i | ||||
\(707\) | −714.000 | −0.0379812 | ||||||||
\(708\) | −900.000 | + | 1558.85i | −0.0477741 | + | 0.0827472i | ||||
\(709\) | 6141.50 | − | 10637.4i | 0.325316 | − | 0.563463i | −0.656260 | − | 0.754534i | \(-0.727863\pi\) |
0.981576 | + | 0.191071i | \(0.0611961\pi\) | |||||||
\(710\) | 25110.0 | 1.32727 | ||||||||
\(711\) | 5958.00 | − | 10319.6i | 0.314265 | − | 0.544323i | ||||
\(712\) | 5229.00 | + | 9056.89i | 0.275232 | + | 0.476716i | ||||
\(713\) | −300.000 | − | 519.615i | −0.0157575 | − | 0.0272928i | ||||
\(714\) | −1998.00 | −0.104724 | ||||||||
\(715\) | 12285.0 | + | 3039.75i | 0.642564 | + | 0.158993i | ||||
\(716\) | −474.000 | −0.0247405 | ||||||||
\(717\) | 891.000 | + | 1543.26i | 0.0464087 | + | 0.0803821i | ||||
\(718\) | 1647.00 | + | 2852.69i | 0.0856065 | + | 0.148275i | ||||
\(719\) | −12756.0 | + | 22094.0i | −0.661639 | + | 1.14599i | 0.318546 | + | 0.947908i | \(0.396806\pi\) |
−0.980185 | + | 0.198085i | \(0.936528\pi\) | |||||||
\(720\) | 5751.00 | 0.297677 | ||||||||
\(721\) | −1118.00 | + | 1936.43i | −0.0577483 | + | 0.100023i | ||||
\(722\) | 7114.50 | − | 12322.7i | 0.366723 | − | 0.635184i | ||||
\(723\) | 6909.00 | 0.355392 | ||||||||
\(724\) | −1124.50 | + | 1947.69i | −0.0577234 | + | 0.0999798i | ||||
\(725\) | −2310.00 | − | 4001.04i | −0.118333 | − | 0.204958i | ||||
\(726\) | 1939.50 | + | 3359.31i | 0.0991482 | + | 0.171730i | ||||
\(727\) | 6110.00 | 0.311702 | 0.155851 | − | 0.987781i | \(-0.450188\pi\) | ||||
0.155851 | + | 0.987781i | \(0.450188\pi\) | |||||||
\(728\) | −546.000 | − | 1891.40i | −0.0277968 | − | 0.0962911i | ||||
\(729\) | 729.000 | 0.0370370 | ||||||||
\(730\) | −3415.50 | − | 5915.82i | −0.173169 | − | 0.299937i | ||||
\(731\) | −28527.0 | − | 49410.2i | −1.44338 | − | 2.50000i | ||||
\(732\) | −349.500 | + | 605.352i | −0.0176474 | + | 0.0305662i | ||||
\(733\) | −27127.0 | −1.36693 | −0.683464 | − | 0.729984i | \(-0.739527\pi\) | ||||
−0.683464 | + | 0.729984i | \(0.739527\pi\) | |||||||
\(734\) | 8601.00 | − | 14897.4i | 0.432519 | − | 0.749144i | ||||
\(735\) | −4576.50 | + | 7926.73i | −0.229669 | + | 0.397798i | ||||
\(736\) | 270.000 | 0.0135222 | ||||||||
\(737\) | −13890.0 | + | 24058.2i | −0.694226 | + | 1.20244i | ||||
\(738\) | 3118.50 | + | 5401.40i | 0.155547 | + | 0.269415i | ||||
\(739\) | 440.000 | + | 762.102i | 0.0219021 | + | 0.0379356i | 0.876769 | − | 0.480912i | \(-0.159694\pi\) |
−0.854867 | + | 0.518848i | \(0.826361\pi\) | |||||||
\(740\) | −153.000 | −0.00760053 | ||||||||
\(741\) | −4485.00 | + | 4660.95i | −0.222349 | + | 0.231072i | ||||
\(742\) | 3834.00 | 0.189691 | ||||||||
\(743\) | 10938.0 | + | 18945.2i | 0.540076 | + | 0.935439i | 0.998899 | + | 0.0469111i | \(0.0149378\pi\) |
−0.458823 | + | 0.888528i | \(0.651729\pi\) | |||||||
\(744\) | −3150.00 | − | 5455.96i | −0.155221 | − | 0.268851i | ||||
\(745\) | −7870.50 | + | 13632.1i | −0.387051 | + | 0.670392i | ||||
\(746\) | −26913.0 | −1.32085 | ||||||||
\(747\) | −3645.00 | + | 6313.33i | −0.178532 | + | 0.309227i | ||||
\(748\) | 1665.00 | − | 2883.86i | 0.0813883 | − | 0.140969i | ||||
\(749\) | 1428.00 | 0.0696635 | ||||||||
\(750\) | −6844.50 | + | 11855.0i | −0.333234 | + | 0.577179i | ||||
\(751\) | −5899.00 | − | 10217.4i | −0.286628 | − | 0.496454i | 0.686375 | − | 0.727248i | \(-0.259201\pi\) |
−0.973003 | + | 0.230794i | \(0.925868\pi\) | |||||||
\(752\) | −5751.00 | − | 9961.02i | −0.278880 | − | 0.483033i | ||||
\(753\) | 18972.0 | 0.918165 | ||||||||
\(754\) | −4095.00 | − | 14185.5i | −0.197787 | − | 0.685153i | ||||
\(755\) | 3330.00 | 0.160518 | ||||||||
\(756\) | −27.0000 | − | 46.7654i | −0.00129892 | − | 0.00224979i | ||||
\(757\) | 4037.00 | + | 6992.29i | 0.193827 | + | 0.335719i | 0.946515 | − | 0.322658i | \(-0.104577\pi\) |
−0.752688 | + | 0.658377i | \(0.771243\pi\) | |||||||
\(758\) | −10866.0 | + | 18820.5i | −0.520674 | + | 0.901834i | ||||
\(759\) | −540.000 | −0.0258245 | ||||||||
\(760\) | 4347.00 | − | 7529.22i | 0.207477 | − | 0.359360i | ||||
\(761\) | −9777.00 | + | 16934.3i | −0.465724 | + | 0.806658i | −0.999234 | − | 0.0391362i | \(-0.987539\pi\) |
0.533510 | + | 0.845794i | \(0.320873\pi\) | |||||||
\(762\) | −5436.00 | −0.258432 | ||||||||
\(763\) | −2006.00 | + | 3474.49i | −0.0951797 | + | 0.164856i | ||||
\(764\) | −1722.00 | − | 2982.59i | −0.0815442 | − | 0.141239i | ||||
\(765\) | −4495.50 | − | 7786.43i | −0.212464 | − | 0.367999i | ||||
\(766\) | −18936.0 | −0.893193 | ||||||||
\(767\) | 7800.00 | + | 27020.0i | 0.367199 | + | 1.27201i | ||||
\(768\) | 4539.00 | 0.213264 | ||||||||
\(769\) | −7015.00 | − | 12150.3i | −0.328956 | − | 0.569769i | 0.653349 | − | 0.757057i | \(-0.273364\pi\) |
−0.982305 | + | 0.187288i | \(0.940030\pi\) | |||||||
\(770\) | 810.000 | + | 1402.96i | 0.0379096 | + | 0.0656613i | ||||
\(771\) | −11749.5 | + | 20350.7i | −0.548830 | + |