Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,4,Mod(59,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.59");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.m (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.08022920069\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 59.10 | ||
Character | \(\chi\) | \(=\) | 120.59 |
Dual form | 120.4.m.b.59.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.22835 | − | 1.74197i | −0.787840 | − | 0.615879i | ||||
\(3\) | 4.99538 | + | 1.43044i | 0.961362 | + | 0.275288i | ||||
\(4\) | 1.93108 | + | 7.76344i | 0.241385 | + | 0.970429i | ||||
\(5\) | 10.2117 | + | 4.55196i | 0.913366 | + | 0.407139i | ||||
\(6\) | −8.63968 | − | 11.8893i | −0.587856 | − | 0.808966i | ||||
\(7\) | −3.90466 | −0.210832 | −0.105416 | − | 0.994428i | \(-0.533617\pi\) | ||||
−0.105416 | + | 0.994428i | \(0.533617\pi\) | |||||||
\(8\) | 9.22055 | − | 20.6635i | 0.407495 | − | 0.913208i | ||||
\(9\) | 22.9077 | + | 14.2912i | 0.848433 | + | 0.529302i | ||||
\(10\) | −14.8260 | − | 27.9319i | −0.468838 | − | 0.883284i | ||||
\(11\) | 59.1208i | 1.62051i | 0.586079 | + | 0.810254i | \(0.300671\pi\) | ||||
−0.586079 | + | 0.810254i | \(0.699329\pi\) | |||||||
\(12\) | −1.45861 | + | 41.5436i | −0.0350887 | + | 0.999384i | ||||
\(13\) | −63.6374 | −1.35768 | −0.678840 | − | 0.734286i | \(-0.737517\pi\) | ||||
−0.678840 | + | 0.734286i | \(0.737517\pi\) | |||||||
\(14\) | 8.70094 | + | 6.80180i | 0.166102 | + | 0.129847i | ||||
\(15\) | 44.5003 | + | 37.3460i | 0.765995 | + | 0.642847i | ||||
\(16\) | −56.5419 | + | 29.9836i | −0.883466 | + | 0.468494i | ||||
\(17\) | 69.6213 | 0.993273 | 0.496636 | − | 0.867959i | \(-0.334568\pi\) | ||||
0.496636 | + | 0.867959i | \(0.334568\pi\) | |||||||
\(18\) | −26.1516 | − | 71.7502i | −0.342444 | − | 0.939538i | ||||
\(19\) | 33.0635 | 0.399226 | 0.199613 | − | 0.979875i | \(-0.436032\pi\) | ||||
0.199613 | + | 0.979875i | \(0.436032\pi\) | |||||||
\(20\) | −15.6191 | + | 88.0684i | −0.174627 | + | 0.984635i | ||||
\(21\) | −19.5053 | − | 5.58537i | −0.202686 | − | 0.0580394i | ||||
\(22\) | 102.987 | − | 131.742i | 0.998038 | − | 1.27670i | ||||
\(23\) | − | 90.6431i | − | 0.821756i | −0.911690 | − | 0.410878i | \(-0.865222\pi\) | ||
0.911690 | − | 0.410878i | \(-0.134778\pi\) | |||||||
\(24\) | 75.6180 | − | 90.0328i | 0.643144 | − | 0.765745i | ||||
\(25\) | 83.5594 | + | 92.9668i | 0.668475 | + | 0.743734i | ||||
\(26\) | 141.806 | + | 110.854i | 1.06964 | + | 0.836167i | ||||
\(27\) | 93.9902 | + | 104.158i | 0.669941 | + | 0.742414i | ||||
\(28\) | −7.54021 | − | 30.3136i | −0.0508917 | − | 0.204597i | ||||
\(29\) | 172.259 | 1.10302 | 0.551511 | − | 0.834167i | \(-0.314051\pi\) | ||||
0.551511 | + | 0.834167i | \(0.314051\pi\) | |||||||
\(30\) | −34.1065 | − | 160.738i | −0.207566 | − | 0.978221i | ||||
\(31\) | − | 61.7877i | − | 0.357981i | −0.983851 | − | 0.178990i | \(-0.942717\pi\) | ||
0.983851 | − | 0.178990i | \(-0.0572831\pi\) | |||||||
\(32\) | 178.226 | + | 31.6802i | 0.984567 | + | 0.175010i | ||||
\(33\) | −84.5685 | + | 295.331i | −0.446106 | + | 1.55789i | ||||
\(34\) | −155.141 | − | 121.278i | −0.782541 | − | 0.611736i | ||||
\(35\) | −39.8734 | − | 17.7738i | −0.192567 | − | 0.0858379i | ||||
\(36\) | −66.7118 | + | 205.440i | −0.308851 | + | 0.951110i | ||||
\(37\) | −10.7673 | −0.0478414 | −0.0239207 | − | 0.999714i | \(-0.507615\pi\) | ||||
−0.0239207 | + | 0.999714i | \(0.507615\pi\) | |||||||
\(38\) | −73.6770 | − | 57.5956i | −0.314526 | − | 0.245875i | ||||
\(39\) | −317.893 | − | 91.0292i | −1.30522 | − | 0.373752i | ||||
\(40\) | 188.217 | − | 169.039i | 0.743994 | − | 0.668186i | ||||
\(41\) | − | 475.596i | − | 1.81160i | −0.423707 | − | 0.905799i | \(-0.639271\pi\) | ||
0.423707 | − | 0.905799i | \(-0.360729\pi\) | |||||||
\(42\) | 33.7350 | + | 46.4237i | 0.123939 | + | 0.170556i | ||||
\(43\) | 59.3761i | 0.210576i | 0.994442 | + | 0.105288i | \(0.0335764\pi\) | ||||
−0.994442 | + | 0.105288i | \(0.966424\pi\) | |||||||
\(44\) | −458.980 | + | 114.167i | −1.57259 | + | 0.391166i | ||||
\(45\) | 168.875 | + | 250.212i | 0.559431 | + | 0.828877i | ||||
\(46\) | −157.898 | + | 201.985i | −0.506103 | + | 0.647413i | ||||
\(47\) | 500.434i | 1.55310i | 0.630054 | + | 0.776551i | \(0.283033\pi\) | ||||
−0.630054 | + | 0.776551i | \(0.716967\pi\) | |||||||
\(48\) | −325.338 | + | 68.9003i | −0.978302 | + | 0.207185i | ||||
\(49\) | −327.754 | −0.955550 | ||||||||
\(50\) | −24.2541 | − | 352.720i | −0.0686011 | − | 0.997644i | ||||
\(51\) | 347.785 | + | 99.5888i | 0.954895 | + | 0.273436i | ||||
\(52\) | −122.889 | − | 494.045i | −0.327724 | − | 1.31753i | ||||
\(53\) | − | 407.866i | − | 1.05707i | −0.848911 | − | 0.528535i | \(-0.822741\pi\) | ||
0.848911 | − | 0.528535i | \(-0.177259\pi\) | |||||||
\(54\) | −28.0032 | − | 395.828i | −0.0705694 | − | 0.997507i | ||||
\(55\) | −269.115 | + | 603.726i | −0.659772 | + | 1.48012i | ||||
\(56\) | −36.0031 | + | 80.6840i | −0.0859128 | + | 0.192533i | ||||
\(57\) | 165.165 | + | 47.2952i | 0.383800 | + | 0.109902i | ||||
\(58\) | −383.853 | − | 300.070i | −0.869006 | − | 0.679329i | ||||
\(59\) | 17.5094i | 0.0386360i | 0.999813 | + | 0.0193180i | \(0.00614950\pi\) | ||||
−0.999813 | + | 0.0193180i | \(0.993851\pi\) | |||||||
\(60\) | −204.000 | + | 417.593i | −0.438937 | + | 0.898518i | ||||
\(61\) | − | 245.109i | − | 0.514474i | −0.966348 | − | 0.257237i | \(-0.917188\pi\) | ||
0.966348 | − | 0.257237i | \(-0.0828122\pi\) | |||||||
\(62\) | −107.632 | + | 137.685i | −0.220473 | + | 0.282032i | ||||
\(63\) | −89.4468 | − | 55.8021i | −0.178877 | − | 0.111594i | ||||
\(64\) | −341.963 | − | 381.058i | −0.667896 | − | 0.744254i | ||||
\(65\) | −649.849 | − | 289.675i | −1.24006 | − | 0.552765i | ||||
\(66\) | 702.906 | − | 510.785i | 1.31094 | − | 0.952625i | ||||
\(67\) | 35.7817i | 0.0652452i | 0.999468 | + | 0.0326226i | \(0.0103859\pi\) | ||||
−0.999468 | + | 0.0326226i | \(0.989614\pi\) | |||||||
\(68\) | 134.444 | + | 540.500i | 0.239761 | + | 0.963901i | ||||
\(69\) | 129.659 | − | 452.797i | 0.226219 | − | 0.790005i | ||||
\(70\) | 57.8903 | + | 109.065i | 0.0988460 | + | 0.186224i | ||||
\(71\) | −889.439 | −1.48672 | −0.743359 | − | 0.668893i | \(-0.766769\pi\) | ||||
−0.743359 | + | 0.668893i | \(0.766769\pi\) | |||||||
\(72\) | 506.527 | − | 341.582i | 0.829095 | − | 0.559108i | ||||
\(73\) | − | 617.595i | − | 0.990193i | −0.868838 | − | 0.495096i | \(-0.835133\pi\) | ||
0.868838 | − | 0.495096i | \(-0.164867\pi\) | |||||||
\(74\) | 23.9933 | + | 18.7563i | 0.0376914 | + | 0.0294646i | ||||
\(75\) | 284.428 | + | 583.931i | 0.437906 | + | 0.899021i | ||||
\(76\) | 63.8483 | + | 256.686i | 0.0963671 | + | 0.387420i | ||||
\(77\) | − | 230.847i | − | 0.341655i | ||||||
\(78\) | 549.807 | + | 756.605i | 0.798120 | + | 1.09832i | ||||
\(79\) | − | 108.663i | − | 0.154753i | −0.997002 | − | 0.0773766i | \(-0.975346\pi\) | ||
0.997002 | − | 0.0773766i | \(-0.0246544\pi\) | |||||||
\(80\) | −713.875 | + | 48.8092i | −0.997671 | + | 0.0682130i | ||||
\(81\) | 320.526 | + | 654.755i | 0.439679 | + | 0.898155i | ||||
\(82\) | −828.473 | + | 1059.79i | −1.11573 | + | 1.42725i | ||||
\(83\) | 628.531 | 0.831208 | 0.415604 | − | 0.909546i | \(-0.363570\pi\) | ||||
0.415604 | + | 0.909546i | \(0.363570\pi\) | |||||||
\(84\) | 5.69538 | − | 162.214i | 0.00739782 | − | 0.210702i | ||||
\(85\) | 710.955 | + | 316.913i | 0.907222 | + | 0.404400i | ||||
\(86\) | 103.431 | − | 132.311i | 0.129689 | − | 0.165900i | ||||
\(87\) | 860.499 | + | 246.405i | 1.06040 | + | 0.303649i | ||||
\(88\) | 1221.64 | + | 545.126i | 1.47986 | + | 0.660348i | ||||
\(89\) | − | 763.668i | − | 0.909535i | −0.890610 | − | 0.454768i | \(-0.849722\pi\) | ||
0.890610 | − | 0.454768i | \(-0.150278\pi\) | |||||||
\(90\) | 59.5504 | − | 851.736i | 0.0697462 | − | 0.997565i | ||||
\(91\) | 248.482 | 0.286242 | ||||||||
\(92\) | 703.702 | − | 175.039i | 0.797457 | − | 0.198360i | ||||
\(93\) | 88.3834 | − | 308.653i | 0.0985477 | − | 0.344149i | ||||
\(94\) | 871.741 | − | 1115.14i | 0.956524 | − | 1.22360i | ||||
\(95\) | 337.636 | + | 150.504i | 0.364639 | + | 0.162540i | ||||
\(96\) | 844.989 | + | 413.195i | 0.898347 | + | 0.439287i | ||||
\(97\) | − | 866.259i | − | 0.906755i | −0.891319 | − | 0.453378i | \(-0.850219\pi\) | ||
0.891319 | − | 0.453378i | \(-0.149781\pi\) | |||||||
\(98\) | 730.350 | + | 570.937i | 0.752821 | + | 0.588504i | ||||
\(99\) | −844.904 | + | 1354.32i | −0.857738 | + | 1.37489i | ||||
\(100\) | −560.382 | + | 828.234i | −0.560382 | + | 0.828234i | ||||
\(101\) | 1542.57 | 1.51972 | 0.759859 | − | 0.650088i | \(-0.225268\pi\) | ||||
0.759859 | + | 0.650088i | \(0.225268\pi\) | |||||||
\(102\) | −601.506 | − | 827.750i | −0.583901 | − | 0.803524i | ||||
\(103\) | −360.822 | −0.345174 | −0.172587 | − | 0.984994i | \(-0.555213\pi\) | ||||
−0.172587 | + | 0.984994i | \(0.555213\pi\) | |||||||
\(104\) | −586.772 | + | 1314.97i | −0.553247 | + | 1.23984i | ||||
\(105\) | −173.758 | − | 145.823i | −0.161496 | − | 0.135532i | ||||
\(106\) | −710.491 | + | 908.868i | −0.651028 | + | 0.832803i | ||||
\(107\) | −1347.63 | −1.21757 | −0.608785 | − | 0.793336i | \(-0.708343\pi\) | ||||
−0.608785 | + | 0.793336i | \(0.708343\pi\) | |||||||
\(108\) | −627.120 | + | 930.824i | −0.558747 | + | 0.829338i | ||||
\(109\) | − | 1187.79i | − | 1.04376i | −0.853019 | − | 0.521880i | \(-0.825231\pi\) | ||
0.853019 | − | 0.521880i | \(-0.174769\pi\) | |||||||
\(110\) | 1651.36 | − | 876.522i | 1.43137 | − | 0.759756i | ||||
\(111\) | −53.7868 | − | 15.4019i | −0.0459929 | − | 0.0131702i | ||||
\(112\) | 220.777 | − | 117.076i | 0.186263 | − | 0.0987735i | ||||
\(113\) | −666.104 | −0.554529 | −0.277265 | − | 0.960794i | \(-0.589428\pi\) | ||||
−0.277265 | + | 0.960794i | \(0.589428\pi\) | |||||||
\(114\) | −285.658 | − | 393.102i | −0.234687 | − | 0.322960i | ||||
\(115\) | 412.603 | − | 925.624i | 0.334569 | − | 0.750564i | ||||
\(116\) | 332.646 | + | 1337.32i | 0.266253 | + | 1.07041i | ||||
\(117\) | −1457.79 | − | 909.452i | −1.15190 | − | 0.718623i | ||||
\(118\) | 30.5008 | − | 39.0170i | 0.0237951 | − | 0.0304390i | ||||
\(119\) | −271.847 | −0.209413 | ||||||||
\(120\) | 1182.02 | − | 575.182i | 0.899191 | − | 0.437556i | ||||
\(121\) | −2164.27 | −1.62605 | ||||||||
\(122\) | −426.972 | + | 546.187i | −0.316854 | + | 0.405324i | ||||
\(123\) | 680.309 | − | 2375.78i | 0.498711 | − | 1.74160i | ||||
\(124\) | 479.685 | − | 119.317i | 0.347395 | − | 0.0864112i | ||||
\(125\) | 430.106 | + | 1329.71i | 0.307759 | + | 0.951464i | ||||
\(126\) | 102.113 | + | 280.160i | 0.0721981 | + | 0.198085i | ||||
\(127\) | −259.670 | −0.181433 | −0.0907163 | − | 0.995877i | \(-0.528916\pi\) | ||||
−0.0907163 | + | 0.995877i | \(0.528916\pi\) | |||||||
\(128\) | 98.2209 | + | 1444.82i | 0.0678249 | + | 0.997697i | ||||
\(129\) | −84.9337 | + | 296.606i | −0.0579689 | + | 0.202440i | ||||
\(130\) | 943.485 | + | 1777.51i | 0.636532 | + | 1.19922i | ||||
\(131\) | − | 930.506i | − | 0.620601i | −0.950639 | − | 0.310300i | \(-0.899570\pi\) | ||
0.950639 | − | 0.310300i | \(-0.100430\pi\) | |||||||
\(132\) | −2456.09 | − | 86.2343i | −1.61951 | − | 0.0568616i | ||||
\(133\) | −129.102 | −0.0841694 | ||||||||
\(134\) | 62.3306 | − | 79.7340i | 0.0401831 | − | 0.0514028i | ||||
\(135\) | 485.682 | + | 1491.47i | 0.309636 | + | 0.950855i | ||||
\(136\) | 641.946 | − | 1438.62i | 0.404753 | − | 0.907064i | ||||
\(137\) | 360.083 | 0.224554 | 0.112277 | − | 0.993677i | \(-0.464186\pi\) | ||||
0.112277 | + | 0.993677i | \(0.464186\pi\) | |||||||
\(138\) | −1077.68 | + | 783.128i | −0.664773 | + | 0.483074i | ||||
\(139\) | −574.130 | −0.350339 | −0.175169 | − | 0.984538i | \(-0.556047\pi\) | ||||
−0.175169 | + | 0.984538i | \(0.556047\pi\) | |||||||
\(140\) | 60.9873 | − | 343.877i | 0.0368169 | − | 0.207592i | ||||
\(141\) | −715.839 | + | 2499.86i | −0.427550 | + | 1.49309i | ||||
\(142\) | 1981.98 | + | 1549.38i | 1.17130 | + | 0.915639i | ||||
\(143\) | − | 3762.29i | − | 2.20013i | ||||||
\(144\) | −1723.74 | − | 121.192i | −0.997538 | − | 0.0701343i | ||||
\(145\) | 1759.06 | + | 784.115i | 1.00746 | + | 0.449084i | ||||
\(146\) | −1075.83 | + | 1376.22i | −0.609839 | + | 0.780114i | ||||
\(147\) | −1637.25 | − | 468.831i | −0.918629 | − | 0.263051i | ||||
\(148\) | −20.7925 | − | 83.5913i | −0.0115482 | − | 0.0464267i | ||||
\(149\) | −1402.68 | −0.771223 | −0.385611 | − | 0.922661i | \(-0.626009\pi\) | ||||
−0.385611 | + | 0.922661i | \(0.626009\pi\) | |||||||
\(150\) | 383.385 | − | 1796.67i | 0.208689 | − | 0.977982i | ||||
\(151\) | − | 713.088i | − | 0.384306i | −0.981365 | − | 0.192153i | \(-0.938453\pi\) | ||
0.981365 | − | 0.192153i | \(-0.0615471\pi\) | |||||||
\(152\) | 304.864 | − | 683.208i | 0.162682 | − | 0.364576i | ||||
\(153\) | 1594.86 | + | 994.968i | 0.842726 | + | 0.525741i | ||||
\(154\) | −402.128 | + | 514.407i | −0.210418 | + | 0.269169i | ||||
\(155\) | 281.255 | − | 630.961i | 0.145748 | − | 0.326968i | ||||
\(156\) | 92.8222 | − | 2643.73i | 0.0476393 | − | 1.35684i | ||||
\(157\) | 1894.80 | 0.963192 | 0.481596 | − | 0.876393i | \(-0.340057\pi\) | ||||
0.481596 | + | 0.876393i | \(0.340057\pi\) | |||||||
\(158\) | −189.287 | + | 242.138i | −0.0953093 | + | 0.121921i | ||||
\(159\) | 583.427 | − | 2037.45i | 0.290998 | − | 1.01623i | ||||
\(160\) | 1675.79 | + | 1134.79i | 0.828016 | + | 0.560704i | ||||
\(161\) | 353.930i | 0.173252i | ||||||||
\(162\) | 426.320 | − | 2017.37i | 0.206759 | − | 0.978392i | ||||
\(163\) | 2482.58i | 1.19295i | 0.802633 | + | 0.596473i | \(0.203432\pi\) | ||||
−0.802633 | + | 0.596473i | \(0.796568\pi\) | |||||||
\(164\) | 3692.26 | − | 918.414i | 1.75803 | − | 0.437293i | ||||
\(165\) | −2207.93 | + | 2630.89i | −1.04174 | + | 1.24130i | ||||
\(166\) | −1400.59 | − | 1094.88i | −0.654859 | − | 0.511924i | ||||
\(167\) | 3112.29i | 1.44213i | 0.692865 | + | 0.721067i | \(0.256348\pi\) | ||||
−0.692865 | + | 0.721067i | \(0.743652\pi\) | |||||||
\(168\) | −295.263 | + | 351.548i | −0.135595 | + | 0.161443i | ||||
\(169\) | 1852.72 | 0.843294 | ||||||||
\(170\) | −1032.20 | − | 1944.65i | −0.465684 | − | 0.877342i | ||||
\(171\) | 757.409 | + | 472.515i | 0.338716 | + | 0.211311i | ||||
\(172\) | −460.962 | + | 114.660i | −0.204349 | + | 0.0508299i | ||||
\(173\) | − | 3100.30i | − | 1.36250i | −0.732053 | − | 0.681248i | \(-0.761438\pi\) | ||
0.732053 | − | 0.681248i | \(-0.238562\pi\) | |||||||
\(174\) | −1488.26 | − | 2048.04i | −0.648418 | − | 0.892308i | ||||
\(175\) | −326.271 | − | 363.004i | −0.140936 | − | 0.156803i | ||||
\(176\) | −1772.66 | − | 3342.80i | −0.759199 | − | 1.43166i | ||||
\(177\) | −25.0460 | + | 87.4660i | −0.0106360 | + | 0.0371432i | ||||
\(178\) | −1330.29 | + | 1701.72i | −0.560164 | + | 0.716569i | ||||
\(179\) | − | 2018.40i | − | 0.842805i | −0.906874 | − | 0.421402i | \(-0.861538\pi\) | ||
0.906874 | − | 0.421402i | \(-0.138462\pi\) | |||||||
\(180\) | −1616.40 | + | 1794.23i | −0.669328 | + | 0.742967i | ||||
\(181\) | 1943.41i | 0.798079i | 0.916934 | + | 0.399039i | \(0.130656\pi\) | ||||
−0.916934 | + | 0.399039i | \(0.869344\pi\) | |||||||
\(182\) | −553.705 | − | 432.849i | −0.225513 | − | 0.176291i | ||||
\(183\) | 350.612 | − | 1224.41i | 0.141628 | − | 0.494596i | ||||
\(184\) | −1873.01 | − | 835.779i | −0.750434 | − | 0.334861i | ||||
\(185\) | −109.953 | − | 49.0123i | −0.0436968 | − | 0.0194781i | ||||
\(186\) | −734.614 | + | 533.826i | −0.289594 | + | 0.210441i | ||||
\(187\) | 4116.06i | 1.60961i | ||||||||
\(188\) | −3885.09 | + | 966.379i | −1.50718 | + | 0.374896i | ||||
\(189\) | −367.000 | − | 406.701i | −0.141245 | − | 0.156524i | ||||
\(190\) | −490.198 | − | 923.526i | −0.187172 | − | 0.352630i | ||||
\(191\) | 3928.20 | 1.48814 | 0.744070 | − | 0.668101i | \(-0.232893\pi\) | ||||
0.744070 | + | 0.668101i | \(0.232893\pi\) | |||||||
\(192\) | −1163.16 | − | 2392.69i | −0.437206 | − | 0.899361i | ||||
\(193\) | − | 456.350i | − | 0.170201i | −0.996372 | − | 0.0851005i | \(-0.972879\pi\) | ||
0.996372 | − | 0.0851005i | \(-0.0271211\pi\) | |||||||
\(194\) | −1509.00 | + | 1930.33i | −0.558452 | + | 0.714379i | ||||
\(195\) | −2831.88 | − | 2376.60i | −1.03998 | − | 0.872780i | ||||
\(196\) | −632.919 | − | 2544.49i | −0.230656 | − | 0.927294i | ||||
\(197\) | 4127.07i | 1.49260i | 0.665611 | + | 0.746299i | \(0.268171\pi\) | ||||
−0.665611 | + | 0.746299i | \(0.731829\pi\) | |||||||
\(198\) | 4241.93 | − | 1546.10i | 1.52253 | − | 0.554933i | ||||
\(199\) | 4395.85i | 1.56590i | 0.622087 | + | 0.782948i | \(0.286285\pi\) | ||||
−0.622087 | + | 0.782948i | \(0.713715\pi\) | |||||||
\(200\) | 2691.49 | − | 869.427i | 0.951584 | − | 0.307389i | ||||
\(201\) | −51.1834 | + | 178.743i | −0.0179612 | + | 0.0627242i | ||||
\(202\) | −3437.39 | − | 2687.11i | −1.19730 | − | 0.935963i | ||||
\(203\) | −672.612 | −0.232552 | ||||||||
\(204\) | −101.550 | + | 2892.32i | −0.0348527 | + | 0.992661i | ||||
\(205\) | 2164.89 | − | 4856.66i | 0.737573 | − | 1.65465i | ||||
\(206\) | 804.038 | + | 628.542i | 0.271942 | + | 0.212585i | ||||
\(207\) | 1295.39 | − | 2076.43i | 0.434957 | − | 0.697206i | ||||
\(208\) | 3598.18 | − | 1908.08i | 1.19946 | − | 0.636065i | ||||
\(209\) | 1954.74i | 0.646948i | ||||||||
\(210\) | 133.174 | + | 627.628i | 0.0437615 | + | 0.206240i | ||||
\(211\) | 4297.34 | 1.40209 | 0.701045 | − | 0.713117i | \(-0.252717\pi\) | ||||
0.701045 | + | 0.713117i | \(0.252717\pi\) | |||||||
\(212\) | 3166.44 | − | 787.623i | 1.02581 | − | 0.255161i | ||||
\(213\) | −4443.09 | − | 1272.29i | −1.42927 | − | 0.409275i | ||||
\(214\) | 3002.98 | + | 2347.52i | 0.959250 | + | 0.749876i | ||||
\(215\) | −270.277 | + | 606.333i | −0.0857337 | + | 0.192333i | ||||
\(216\) | 3018.91 | − | 981.777i | 0.950976 | − | 0.309266i | ||||
\(217\) | 241.260i | 0.0754737i | ||||||||
\(218\) | −2069.10 | + | 2646.81i | −0.642830 | + | 0.822316i | ||||
\(219\) | 883.431 | − | 3085.13i | 0.272588 | − | 0.951934i | ||||
\(220\) | −5206.67 | − | 923.414i | −1.59561 | − | 0.282984i | ||||
\(221\) | −4430.52 | −1.34855 | ||||||||
\(222\) | 93.0261 | + | 128.016i | 0.0281239 | + | 0.0387021i | ||||
\(223\) | −5589.89 | −1.67859 | −0.839297 | − | 0.543673i | \(-0.817033\pi\) | ||||
−0.839297 | + | 0.543673i | \(0.817033\pi\) | |||||||
\(224\) | −695.910 | − | 123.700i | −0.207578 | − | 0.0368977i | ||||
\(225\) | 585.551 | + | 3323.82i | 0.173497 | + | 0.984834i | ||||
\(226\) | 1484.31 | + | 1160.33i | 0.436881 | + | 0.341523i | ||||
\(227\) | 2119.31 | 0.619662 | 0.309831 | − | 0.950792i | \(-0.399727\pi\) | ||||
0.309831 | + | 0.950792i | \(0.399727\pi\) | |||||||
\(228\) | −48.2268 | + | 1373.58i | −0.0140083 | + | 0.398980i | ||||
\(229\) | 3484.25i | 1.00544i | 0.864449 | + | 0.502721i | \(0.167668\pi\) | ||||
−0.864449 | + | 0.502721i | \(0.832332\pi\) | |||||||
\(230\) | −2531.83 | + | 1343.87i | −0.725844 | + | 0.385271i | ||||
\(231\) | 330.211 | − | 1153.17i | 0.0940533 | − | 0.328454i | ||||
\(232\) | 1588.32 | − | 3559.48i | 0.449476 | − | 1.00729i | ||||
\(233\) | 635.469 | 0.178674 | 0.0893368 | − | 0.996001i | \(-0.471525\pi\) | ||||
0.0893368 | + | 0.996001i | \(0.471525\pi\) | |||||||
\(234\) | 1664.22 | + | 4566.00i | 0.464929 | + | 1.27559i | ||||
\(235\) | −2277.95 | + | 5110.31i | −0.632329 | + | 1.41855i | ||||
\(236\) | −135.933 | + | 33.8120i | −0.0374935 | + | 0.00932616i | ||||
\(237\) | 155.435 | − | 542.812i | 0.0426016 | − | 0.148774i | ||||
\(238\) | 605.771 | + | 473.550i | 0.164984 | + | 0.128973i | ||||
\(239\) | 3348.65 | 0.906302 | 0.453151 | − | 0.891434i | \(-0.350300\pi\) | ||||
0.453151 | + | 0.891434i | \(0.350300\pi\) | |||||||
\(240\) | −3635.90 | − | 777.332i | −0.977901 | − | 0.209069i | ||||
\(241\) | −4429.34 | −1.18390 | −0.591948 | − | 0.805976i | \(-0.701641\pi\) | ||||
−0.591948 | + | 0.805976i | \(0.701641\pi\) | |||||||
\(242\) | 4822.74 | + | 3770.09i | 1.28106 | + | 1.00145i | ||||
\(243\) | 664.564 | + | 3729.24i | 0.175439 | + | 0.984490i | ||||
\(244\) | 1902.88 | − | 473.324i | 0.499261 | − | 0.124186i | ||||
\(245\) | −3346.94 | − | 1491.92i | −0.872767 | − | 0.389042i | ||||
\(246\) | −5654.51 | + | 4108.99i | −1.46552 | + | 1.06496i | ||||
\(247\) | −2104.07 | −0.542020 | ||||||||
\(248\) | −1276.75 | − | 569.717i | −0.326911 | − | 0.145875i | ||||
\(249\) | 3139.75 | + | 899.074i | 0.799092 | + | 0.228821i | ||||
\(250\) | 1357.89 | − | 3712.29i | 0.343522 | − | 0.939145i | ||||
\(251\) | − | 2194.08i | − | 0.551750i | −0.961194 | − | 0.275875i | \(-0.911032\pi\) | ||
0.961194 | − | 0.275875i | \(-0.0889676\pi\) | |||||||
\(252\) | 260.487 | − | 802.173i | 0.0651156 | − | 0.200524i | ||||
\(253\) | 5358.89 | 1.33166 | ||||||||
\(254\) | 578.634 | + | 452.337i | 0.142940 | + | 0.111741i | ||||
\(255\) | 3098.17 | + | 2600.08i | 0.760842 | + | 0.638522i | ||||
\(256\) | 2297.96 | − | 3390.66i | 0.561026 | − | 0.827798i | ||||
\(257\) | 5497.40 | 1.33431 | 0.667156 | − | 0.744918i | \(-0.267511\pi\) | ||||
0.667156 | + | 0.744918i | \(0.267511\pi\) | |||||||
\(258\) | 705.941 | − | 512.990i | 0.170349 | − | 0.123788i | ||||
\(259\) | 42.0426 | 0.0100865 | ||||||||
\(260\) | 993.960 | − | 5604.44i | 0.237088 | − | 1.33682i | ||||
\(261\) | 3946.05 | + | 2461.78i | 0.935842 | + | 0.583832i | ||||
\(262\) | −1620.91 | + | 2073.49i | −0.382215 | + | 0.488934i | ||||
\(263\) | − | 3495.97i | − | 0.819660i | −0.912162 | − | 0.409830i | \(-0.865588\pi\) | ||
0.912162 | − | 0.409830i | \(-0.134412\pi\) | |||||||
\(264\) | 5322.81 | + | 4470.60i | 1.24090 | + | 1.04222i | ||||
\(265\) | 1856.59 | − | 4165.02i | 0.430375 | − | 0.965492i | ||||
\(266\) | 287.684 | + | 224.891i | 0.0663121 | + | 0.0518382i | ||||
\(267\) | 1092.38 | − | 3814.81i | 0.250384 | − | 0.874392i | ||||
\(268\) | −277.789 | + | 69.0973i | −0.0633158 | + | 0.0157492i | ||||
\(269\) | 585.602 | 0.132732 | 0.0663658 | − | 0.997795i | \(-0.478860\pi\) | ||||
0.0663658 | + | 0.997795i | \(0.478860\pi\) | |||||||
\(270\) | 1515.83 | − | 4169.56i | 0.341669 | − | 0.939821i | ||||
\(271\) | − | 7517.66i | − | 1.68511i | −0.538609 | − | 0.842556i | \(-0.681050\pi\) | ||
0.538609 | − | 0.842556i | \(-0.318950\pi\) | |||||||
\(272\) | −3936.52 | + | 2087.50i | −0.877523 | + | 0.465343i | ||||
\(273\) | 1241.26 | + | 355.438i | 0.275182 | + | 0.0787989i | ||||
\(274\) | −802.391 | − | 627.254i | −0.176913 | − | 0.138298i | ||||
\(275\) | −5496.27 | + | 4940.10i | −1.20523 | + | 1.08327i | ||||
\(276\) | 3765.64 | + | 132.213i | 0.821250 | + | 0.0288344i | ||||
\(277\) | −504.031 | −0.109330 | −0.0546648 | − | 0.998505i | \(-0.517409\pi\) | ||||
−0.0546648 | + | 0.998505i | \(0.517409\pi\) | |||||||
\(278\) | 1279.36 | + | 1000.12i | 0.276011 | + | 0.215767i | ||||
\(279\) | 883.018 | − | 1415.42i | 0.189480 | − | 0.303723i | ||||
\(280\) | −734.925 | + | 660.040i | −0.156858 | + | 0.140875i | ||||
\(281\) | 7892.83i | 1.67561i | 0.545969 | + | 0.837805i | \(0.316161\pi\) | ||||
−0.545969 | + | 0.837805i | \(0.683839\pi\) | |||||||
\(282\) | 5949.82 | − | 4323.59i | 1.25641 | − | 0.913001i | ||||
\(283\) | − | 5494.85i | − | 1.15419i | −0.816678 | − | 0.577094i | \(-0.804187\pi\) | ||
0.816678 | − | 0.577094i | \(-0.195813\pi\) | |||||||
\(284\) | −1717.58 | − | 6905.10i | −0.358872 | − | 1.44275i | ||||
\(285\) | 1471.33 | + | 1234.79i | 0.305805 | + | 0.256641i | ||||
\(286\) | −6553.80 | + | 8383.70i | −1.35502 | + | 1.73335i | ||||
\(287\) | 1857.04i | 0.381943i | ||||||||
\(288\) | 3629.99 | + | 3272.77i | 0.742706 | + | 0.669617i | ||||
\(289\) | −65.8786 | −0.0134090 | ||||||||
\(290\) | −2553.90 | − | 4811.52i | −0.517139 | − | 0.974283i | ||||
\(291\) | 1239.13 | − | 4327.30i | 0.249619 | − | 0.871720i | ||||
\(292\) | 4794.66 | − | 1192.63i | 0.960912 | − | 0.239018i | ||||
\(293\) | 688.366i | 0.137252i | 0.997642 | + | 0.0686259i | \(0.0218615\pi\) | ||||
−0.997642 | + | 0.0686259i | \(0.978139\pi\) | |||||||
\(294\) | 2831.69 | + | 3896.77i | 0.561726 | + | 0.773007i | ||||
\(295\) | −79.7019 | + | 178.801i | −0.0157302 | + | 0.0352888i | ||||
\(296\) | −99.2804 | + | 222.490i | −0.0194951 | + | 0.0436892i | ||||
\(297\) | −6157.89 | + | 5556.77i | −1.20309 | + | 1.08565i | ||||
\(298\) | 3125.67 | + | 2443.43i | 0.607601 | + | 0.474980i | ||||
\(299\) | 5768.29i | 1.11568i | ||||||||
\(300\) | −3984.06 | + | 3335.76i | −0.766732 | + | 0.641967i | ||||
\(301\) | − | 231.843i | − | 0.0443961i | ||||||
\(302\) | −1242.18 | + | 1589.01i | −0.236686 | + | 0.302772i | ||||
\(303\) | 7705.73 | + | 2206.55i | 1.46100 | + | 0.418360i | ||||
\(304\) | −1869.47 | + | 991.364i | −0.352702 | + | 0.187035i | ||||
\(305\) | 1115.72 | − | 2502.99i | 0.209463 | − | 0.469903i | ||||
\(306\) | −1820.71 | − | 4995.34i | −0.340140 | − | 0.933218i | ||||
\(307\) | − | 5319.52i | − | 0.988929i | −0.869198 | − | 0.494464i | \(-0.835364\pi\) | ||
0.869198 | − | 0.494464i | \(-0.164636\pi\) | |||||||
\(308\) | 1792.16 | − | 445.783i | 0.331552 | − | 0.0824703i | ||||
\(309\) | −1802.45 | − | 516.134i | −0.331837 | − | 0.0950220i | ||||
\(310\) | −1725.85 | + | 916.063i | −0.316199 | + | 0.167835i | ||||
\(311\) | −7832.47 | −1.42810 | −0.714049 | − | 0.700096i | \(-0.753141\pi\) | ||||
−0.714049 | + | 0.700096i | \(0.753141\pi\) | |||||||
\(312\) | −4812.13 | + | 5729.46i | −0.873184 | + | 1.03964i | ||||
\(313\) | − | 2374.67i | − | 0.428831i | −0.976743 | − | 0.214416i | \(-0.931215\pi\) | ||
0.976743 | − | 0.214416i | \(-0.0687847\pi\) | |||||||
\(314\) | −4222.27 | − | 3300.68i | −0.758842 | − | 0.593210i | ||||
\(315\) | −659.399 | − | 976.994i | −0.117946 | − | 0.174754i | ||||
\(316\) | 843.595 | − | 209.836i | 0.150177 | − | 0.0373551i | ||||
\(317\) | 4106.84i | 0.727643i | 0.931469 | + | 0.363822i | \(0.118528\pi\) | ||||
−0.931469 | + | 0.363822i | \(0.881472\pi\) | |||||||
\(318\) | −4849.25 | + | 3523.83i | −0.855134 | + | 0.621405i | ||||
\(319\) | 10184.1i | 1.78746i | ||||||||
\(320\) | −1757.48 | − | 5447.87i | −0.307019 | − | 0.951703i | ||||
\(321\) | −6731.91 | − | 1927.69i | −1.17052 | − | 0.335182i | ||||
\(322\) | 616.536 | − | 788.681i | 0.106703 | − | 0.136495i | ||||
\(323\) | 2301.92 | 0.396540 | ||||||||
\(324\) | −4464.19 | + | 3752.77i | −0.765464 | + | 0.643478i | ||||
\(325\) | −5317.50 | − | 5916.17i | −0.907575 | − | 1.00975i | ||||
\(326\) | 4324.57 | − | 5532.05i | 0.734711 | − | 0.939852i | ||||
\(327\) | 1699.06 | − | 5933.47i | 0.287334 | − | 1.00343i | ||||
\(328\) | −9827.48 | − | 4385.25i | −1.65437 | − | 0.738217i | ||||
\(329\) | − | 1954.03i | − | 0.327443i | ||||||
\(330\) | 9502.96 | − | 2016.41i | 1.58522 | − | 0.336362i | ||||
\(331\) | 4379.02 | 0.727168 | 0.363584 | − | 0.931562i | \(-0.381553\pi\) | ||||
0.363584 | + | 0.931562i | \(0.381553\pi\) | |||||||
\(332\) | 1213.74 | + | 4879.56i | 0.200641 | + | 0.806629i | ||||
\(333\) | −246.654 | − | 153.877i | −0.0405903 | − | 0.0253226i | ||||
\(334\) | 5421.52 | − | 6935.28i | 0.888181 | − | 1.13617i | ||||
\(335\) | −162.877 | + | 365.393i | −0.0265639 | + | 0.0595927i | ||||
\(336\) | 1270.33 | − | 269.032i | 0.206257 | − | 0.0436812i | ||||
\(337\) | − | 6774.53i | − | 1.09505i | −0.836789 | − | 0.547525i | \(-0.815570\pi\) | ||
0.836789 | − | 0.547525i | \(-0.184430\pi\) | |||||||
\(338\) | −4128.50 | − | 3227.38i | −0.664381 | − | 0.519368i | ||||
\(339\) | −3327.45 | − | 952.820i | −0.533104 | − | 0.152655i | ||||
\(340\) | −1087.42 | + | 6131.43i | −0.173452 | + | 0.978011i | ||||
\(341\) | 3652.94 | 0.580111 | ||||||||
\(342\) | −864.663 | − | 2372.31i | −0.136712 | − | 0.375088i | ||||
\(343\) | 2619.06 | 0.412292 | ||||||||
\(344\) | 1226.92 | + | 547.480i | 0.192300 | + | 0.0858085i | ||||
\(345\) | 3385.16 | − | 4033.64i | 0.528263 | − | 0.629461i | ||||
\(346\) | −5400.63 | + | 6908.56i | −0.839133 | + | 1.07343i | ||||
\(347\) | 4789.77 | 0.741004 | 0.370502 | − | 0.928832i | \(-0.379186\pi\) | ||||
0.370502 | + | 0.928832i | \(0.379186\pi\) | |||||||
\(348\) | −251.259 | + | 7156.26i | −0.0387037 | + | 1.10234i | ||||
\(349\) | 3221.38i | 0.494087i | 0.969004 | + | 0.247043i | \(0.0794590\pi\) | ||||
−0.969004 | + | 0.247043i | \(0.920541\pi\) | |||||||
\(350\) | 94.7041 | + | 1377.25i | 0.0144633 | + | 0.210335i | ||||
\(351\) | −5981.29 | − | 6628.33i | −0.909566 | − | 1.00796i | ||||
\(352\) | −1872.96 | + | 10536.8i | −0.283605 | + | 1.59550i | ||||
\(353\) | −1778.82 | −0.268207 | −0.134104 | − | 0.990967i | \(-0.542815\pi\) | ||||
−0.134104 | + | 0.990967i | \(0.542815\pi\) | |||||||
\(354\) | 208.174 | − | 151.275i | 0.0312552 | − | 0.0227124i | ||||
\(355\) | −9082.72 | − | 4048.69i | −1.35792 | − | 0.605301i | ||||
\(356\) | 5928.69 | − | 1474.70i | 0.882640 | − | 0.219548i | ||||
\(357\) | −1357.98 | − | 388.860i | −0.201322 | − | 0.0576489i | ||||
\(358\) | −3515.99 | + | 4497.69i | −0.519066 | + | 0.663996i | ||||
\(359\) | −888.661 | −0.130645 | −0.0653227 | − | 0.997864i | \(-0.520808\pi\) | ||||
−0.0653227 | + | 0.997864i | \(0.520808\pi\) | |||||||
\(360\) | 6727.39 | − | 1182.46i | 0.984902 | − | 0.173113i | ||||
\(361\) | −5765.81 | −0.840619 | ||||||||
\(362\) | 3385.36 | − | 4330.59i | 0.491520 | − | 0.628759i | ||||
\(363\) | −10811.3 | − | 3095.85i | −1.56322 | − | 0.447630i | ||||
\(364\) | 479.839 | + | 1929.08i | 0.0690946 | + | 0.277778i | ||||
\(365\) | 2811.27 | − | 6306.73i | 0.403146 | − | 0.904409i | ||||
\(366\) | −2914.17 | + | 2117.66i | −0.416192 | + | 0.302437i | ||||
\(367\) | −2399.81 | −0.341333 | −0.170666 | − | 0.985329i | \(-0.554592\pi\) | ||||
−0.170666 | + | 0.985329i | \(0.554592\pi\) | |||||||
\(368\) | 2717.81 | + | 5125.13i | 0.384988 | + | 0.725994i | ||||
\(369\) | 6796.81 | − | 10894.8i | 0.958883 | − | 1.53702i | ||||
\(370\) | 159.636 | + | 300.751i | 0.0224299 | + | 0.0422576i | ||||
\(371\) | 1592.58i | 0.222864i | ||||||||
\(372\) | 2566.89 | + | 90.1243i | 0.357760 | + | 0.0125611i | ||||
\(373\) | −7562.31 | −1.04976 | −0.524881 | − | 0.851175i | \(-0.675890\pi\) | ||||
−0.524881 | + | 0.851175i | \(0.675890\pi\) | |||||||
\(374\) | 7170.06 | − | 9172.03i | 0.991324 | − | 1.26811i | ||||
\(375\) | 246.478 | + | 7257.66i | 0.0339415 | + | 0.999424i | ||||
\(376\) | 10340.7 | + | 4614.28i | 1.41831 | + | 0.632881i | ||||
\(377\) | −10962.1 | −1.49755 | ||||||||
\(378\) | 109.343 | + | 1545.57i | 0.0148783 | + | 0.210306i | ||||
\(379\) | −7024.75 | −0.952077 | −0.476038 | − | 0.879424i | \(-0.657928\pi\) | ||||
−0.476038 | + | 0.879424i | \(0.657928\pi\) | |||||||
\(380\) | −516.422 | + | 2911.85i | −0.0697155 | + | 0.393091i | ||||
\(381\) | −1297.15 | − | 371.441i | −0.174422 | − | 0.0499462i | ||||
\(382\) | −8753.41 | − | 6842.81i | −1.17242 | − | 0.916515i | ||||
\(383\) | 3306.11i | 0.441081i | 0.975378 | + | 0.220541i | \(0.0707822\pi\) | ||||
−0.975378 | + | 0.220541i | \(0.929218\pi\) | |||||||
\(384\) | −1576.07 | + | 7357.93i | −0.209449 | + | 0.977819i | ||||
\(385\) | 1050.80 | − | 2357.35i | 0.139101 | − | 0.312056i | ||||
\(386\) | −794.948 | + | 1016.91i | −0.104823 | + | 0.134091i | ||||
\(387\) | −848.553 | + | 1360.17i | −0.111458 | + | 0.178660i | ||||
\(388\) | 6725.15 | − | 1672.82i | 0.879942 | − | 0.218877i | ||||
\(389\) | 4431.14 | 0.577551 | 0.288776 | − | 0.957397i | \(-0.406752\pi\) | ||||
0.288776 | + | 0.957397i | \(0.406752\pi\) | |||||||
\(390\) | 2170.45 | + | 10229.0i | 0.281808 | + | 1.32811i | ||||
\(391\) | − | 6310.69i | − | 0.816228i | ||||||
\(392\) | −3022.07 | + | 6772.55i | −0.389381 | + | 0.872616i | ||||
\(393\) | 1331.03 | − | 4648.23i | 0.170844 | − | 0.596622i | ||||
\(394\) | 7189.24 | − | 9196.56i | 0.919261 | − | 1.17593i | ||||
\(395\) | 494.628 | − | 1109.63i | 0.0630061 | − | 0.141346i | ||||
\(396\) | −12145.8 | − | 3944.06i | −1.54128 | − | 0.500496i | ||||
\(397\) | 10715.8 | 1.35469 | 0.677343 | − | 0.735668i | \(-0.263131\pi\) | ||||
0.677343 | + | 0.735668i | \(0.263131\pi\) | |||||||
\(398\) | 7657.44 | − | 9795.49i | 0.964403 | − | 1.23368i | ||||
\(399\) | −644.912 | − | 184.672i | −0.0809173 | − | 0.0231708i | ||||
\(400\) | −7512.09 | − | 2751.10i | −0.939011 | − | 0.343888i | ||||
\(401\) | − | 3245.09i | − | 0.404120i | −0.979373 | − | 0.202060i | \(-0.935236\pi\) | ||
0.979373 | − | 0.202060i | \(-0.0647635\pi\) | |||||||
\(402\) | 425.420 | − | 309.142i | 0.0527811 | − | 0.0383547i | ||||
\(403\) | 3932.01i | 0.486023i | ||||||||
\(404\) | 2978.83 | + | 11975.6i | 0.366837 | + | 1.47478i | ||||
\(405\) | 292.711 | + | 8145.21i | 0.0359134 | + | 0.999355i | ||||
\(406\) | 1498.81 | + | 1171.67i | 0.183214 | + | 0.143224i | ||||
\(407\) | − | 636.571i | − | 0.0775274i | ||||||
\(408\) | 5264.62 | − | 6268.20i | 0.638818 | − | 0.760594i | ||||
\(409\) | −3135.87 | −0.379117 | −0.189558 | − | 0.981869i | \(-0.560706\pi\) | ||||
−0.189558 | + | 0.981869i | \(0.560706\pi\) | |||||||
\(410\) | −13284.3 | + | 7051.16i | −1.60016 | + | 0.849346i | ||||
\(411\) | 1798.75 | + | 515.076i | 0.215878 | + | 0.0618171i | ||||
\(412\) | −696.777 | − | 2801.22i | −0.0833198 | − | 0.334967i | ||||
\(413\) | − | 68.3681i | − | 0.00814570i | ||||||
\(414\) | −6503.66 | + | 2370.46i | −0.772071 | + | 0.281406i | ||||
\(415\) | 6418.40 | + | 2861.05i | 0.759197 | + | 0.338418i | ||||
\(416\) | −11341.8 | − | 2016.04i | −1.33673 | − | 0.237608i | ||||
\(417\) | −2868.00 | − | 821.257i | −0.336803 | − | 0.0964440i | ||||
\(418\) | 3405.10 | − | 4355.84i | 0.398442 | − | 0.509692i | ||||
\(419\) | 7364.44i | 0.858655i | 0.903149 | + | 0.429327i | \(0.141249\pi\) | ||||
−0.903149 | + | 0.429327i | \(0.858751\pi\) | |||||||
\(420\) | 796.549 | − | 1630.56i | 0.0925420 | − | 0.189436i | ||||
\(421\) | 4582.24i | 0.530463i | 0.964185 | + | 0.265231i | \(0.0854483\pi\) | ||||
−0.964185 | + | 0.265231i | \(0.914552\pi\) | |||||||
\(422\) | −9575.97 | − | 7485.83i | −1.10462 | − | 0.863518i | ||||
\(423\) | −7151.78 | + | 11463.8i | −0.822060 | + | 1.31770i | ||||
\(424\) | −8427.96 | − | 3760.75i | −0.965325 | − | 0.430750i | ||||
\(425\) | 5817.51 | + | 6472.47i | 0.663978 | + | 0.738731i | ||||
\(426\) | 7684.47 | + | 10574.8i | 0.873976 | + | 1.20270i | ||||
\(427\) | 957.065i | 0.108468i | ||||||||
\(428\) | −2602.37 | − | 10462.2i | −0.293903 | − | 1.18157i | ||||
\(429\) | 5381.72 | − | 18794.1i | 0.605669 | − | 2.11512i | ||||
\(430\) | 1658.49 | − | 880.307i | 0.185998 | − | 0.0987260i | ||||
\(431\) | −5956.76 | −0.665724 | −0.332862 | − | 0.942976i | \(-0.608014\pi\) | ||||
−0.332862 | + | 0.942976i | \(0.608014\pi\) | |||||||
\(432\) | −8437.41 | − | 3071.11i | −0.939688 | − | 0.342034i | ||||
\(433\) | 5990.82i | 0.664897i | 0.943121 | + | 0.332449i | \(0.107875\pi\) | ||||
−0.943121 | + | 0.332449i | \(0.892125\pi\) | |||||||
\(434\) | 420.268 | − | 537.612i | 0.0464827 | − | 0.0594613i | ||||
\(435\) | 7665.57 | + | 6433.18i | 0.844910 | + | 0.709075i | ||||
\(436\) | 9221.34 | − | 2293.72i | 1.01289 | − | 0.251948i | ||||
\(437\) | − | 2996.98i | − | 0.328066i | ||||||
\(438\) | −7342.79 | + | 5335.83i | −0.801032 | + | 0.582091i | ||||
\(439\) | 3323.14i | 0.361287i | 0.983549 | + | 0.180644i | \(0.0578180\pi\) | ||||
−0.983549 | + | 0.180644i | \(0.942182\pi\) | |||||||
\(440\) | 9993.73 | + | 11127.6i | 1.08280 | + | 1.20565i | ||||
\(441\) | −7508.08 | − | 4683.98i | −0.810721 | − | 0.505775i | ||||
\(442\) | 9872.74 | + | 7717.83i | 1.06244 | + | 0.830542i | ||||
\(443\) | 10439.3 | 1.11961 | 0.559805 | − | 0.828624i | \(-0.310876\pi\) | ||||
0.559805 | + | 0.828624i | \(0.310876\pi\) | |||||||
\(444\) | 15.7053 | − | 447.313i | 0.00167870 | − | 0.0478120i | ||||
\(445\) | 3476.18 | − | 7798.38i | 0.370307 | − | 0.830739i | ||||
\(446\) | 12456.2 | + | 9737.41i | 1.32246 | + | 1.03381i | ||||
\(447\) | −7006.93 | − | 2006.45i | −0.741424 | − | 0.212308i | ||||
\(448\) | 1335.25 | + | 1487.90i | 0.140814 | + | 0.156912i | ||||
\(449\) | 1513.03i | 0.159029i | 0.996834 | + | 0.0795147i | \(0.0253371\pi\) | ||||
−0.996834 | + | 0.0795147i | \(0.974663\pi\) | |||||||
\(450\) | 4485.18 | − | 8426.64i | 0.469852 | − | 0.882745i | ||||
\(451\) | 28117.6 | 2.93571 | ||||||||
\(452\) | −1286.30 | − | 5171.26i | −0.133855 | − | 0.538132i | ||||
\(453\) | 1020.03 | − | 3562.15i | 0.105795 | − | 0.369458i | ||||
\(454\) | −4722.56 | − | 3691.77i | −0.488195 | − | 0.381637i | ||||
\(455\) | 2537.44 | + | 1131.08i | 0.261444 | + | 0.116540i | ||||
\(456\) | 2500.20 | − | 2976.80i | 0.256760 | − | 0.305705i | ||||
\(457\) | 14449.0i | 1.47898i | 0.673165 | + | 0.739492i | \(0.264934\pi\) | ||||
−0.673165 | + | 0.739492i | \(0.735066\pi\) | |||||||
\(458\) | 6069.47 | − | 7764.14i | 0.619230 | − | 0.792127i | ||||
\(459\) | 6543.72 | + | 7251.60i | 0.665435 | + | 0.737420i | ||||
\(460\) | 7982.79 | + | 1415.76i | 0.809130 | + | 0.143501i | ||||
\(461\) | 12494.6 | 1.26233 | 0.631164 | − | 0.775649i | \(-0.282577\pi\) | ||||
0.631164 | + | 0.775649i | \(0.282577\pi\) | |||||||
\(462\) | −2744.61 | + | 1994.44i | −0.276387 | + | 0.200844i | ||||
\(463\) | 1991.33 | 0.199881 | 0.0999406 | − | 0.994993i | \(-0.468135\pi\) | ||||
0.0999406 | + | 0.994993i | \(0.468135\pi\) | |||||||
\(464\) | −9739.83 | + | 5164.95i | −0.974484 | + | 0.516760i | ||||
\(465\) | 2307.53 | − | 2749.57i | 0.230127 | − | 0.274212i | ||||
\(466\) | −1416.05 | − | 1106.97i | −0.140766 | − | 0.110041i | ||||
\(467\) | 1976.98 | 0.195897 | 0.0979485 | − | 0.995191i | \(-0.468772\pi\) | ||||
0.0979485 | + | 0.995191i | \(0.468772\pi\) | |||||||
\(468\) | 4245.37 | − | 13073.7i | 0.419321 | − | 1.29130i | ||||
\(469\) | − | 139.715i | − | 0.0137558i | ||||||
\(470\) | 13978.1 | − | 7419.42i | 1.37183 | − | 0.728154i | ||||
\(471\) | 9465.23 | + | 2710.39i | 0.925976 | + | 0.265155i | ||||
\(472\) | 361.805 | + | 161.446i | 0.0352827 | + | 0.0157440i | ||||
\(473\) | −3510.36 | −0.341240 | ||||||||
\(474\) | −1291.92 | + | 938.811i | −0.125190 | + | 0.0909726i | ||||
\(475\) | 2762.77 | + | 3073.81i | 0.266872 | + | 0.296918i | ||||
\(476\) | −524.959 | − | 2110.47i | −0.0505493 | − | 0.203221i | ||||
\(477\) | 5828.88 | − | 9343.28i | 0.559509 | − | 0.896854i | ||||
\(478\) | −7461.97 | − | 5833.25i | −0.714022 | − | 0.558173i | ||||
\(479\) | −15429.2 | −1.47177 | −0.735884 | − | 0.677108i | \(-0.763233\pi\) | ||||
−0.735884 | + | 0.677108i | \(0.763233\pi\) | |||||||
\(480\) | 6747.96 | + | 8065.79i | 0.641669 | + | 0.766982i | ||||
\(481\) | 685.203 | 0.0649534 | ||||||||
\(482\) | 9870.12 | + | 7715.78i | 0.932721 | + | 0.729137i | ||||
\(483\) | −506.275 | + | 1768.02i | −0.0476942 | + | 0.166558i | ||||
\(484\) | −4179.38 | − | 16802.1i | −0.392503 | − | 1.57796i | ||||
\(485\) | 3943.17 | − | 8846.01i | 0.369176 | − | 0.828200i | ||||
\(486\) | 5015.35 | − | 9467.71i | 0.468109 | − | 0.883671i | ||||
\(487\) | 323.435 | 0.0300949 | 0.0150475 | − | 0.999887i | \(-0.495210\pi\) | ||||
0.0150475 | + | 0.999887i | \(0.495210\pi\) | |||||||
\(488\) | −5064.81 | − | 2260.04i | −0.469822 | − | 0.209645i | ||||
\(489\) | −3551.17 | + | 12401.4i | −0.328403 | + | 1.14685i | ||||
\(490\) | 4859.26 | + | 9154.78i | 0.447998 | + | 0.844022i | ||||
\(491\) | 10843.0i | 0.996617i | 0.867000 | + | 0.498308i | \(0.166045\pi\) | ||||
−0.867000 | + | 0.498308i | \(0.833955\pi\) | |||||||
\(492\) | 19758.0 | + | 693.709i | 1.81048 | + | 0.0635667i | ||||
\(493\) | 11992.9 | 1.09560 | ||||||||
\(494\) | 4688.61 | + | 3665.23i | 0.427026 | + | 0.333819i | ||||
\(495\) | −14792.8 | + | 9984.02i | −1.34320 | + | 0.906562i | ||||
\(496\) | 1852.62 | + | 3493.59i | 0.167712 | + | 0.316264i | ||||
\(497\) | 3472.96 | 0.313447 | ||||||||
\(498\) | −5430.31 | − | 7472.81i | −0.488631 | − | 0.672419i | ||||
\(499\) | −8534.00 | −0.765599 | −0.382800 | − | 0.923831i | \(-0.625040\pi\) | ||||
−0.382800 | + | 0.923831i | \(0.625040\pi\) | |||||||
\(500\) | −9492.56 | + | 5906.88i | −0.849041 | + | 0.528328i | ||||
\(501\) | −4451.94 | + | 15547.1i | −0.397002 | + | 1.38641i | ||||
\(502\) | −3822.02 | + | 4889.18i | −0.339811 | + | 0.434691i | ||||
\(503\) | 8197.47i | 0.726654i | 0.931662 | + | 0.363327i | \(0.118359\pi\) | ||||
−0.931662 | + | 0.363327i | \(0.881641\pi\) | |||||||
\(504\) | −1977.82 | + | 1333.76i | −0.174800 | + | 0.117878i | ||||
\(505\) | 15752.3 | + | 7021.71i | 1.38806 | + | 0.618737i | ||||
\(506\) | −11941.5 | − | 9335.03i | −1.04914 | − | 0.820144i | ||||
\(507\) | 9255.04 | + | 2650.20i | 0.810711 | + | 0.232149i | ||||
\(508\) | −501.443 | − | 2015.93i | −0.0437951 | − | 0.176068i | ||||
\(509\) | −9137.11 | −0.795669 | −0.397834 | − | 0.917457i | \(-0.630238\pi\) | ||||
−0.397834 | + | 0.917457i | \(0.630238\pi\) | |||||||
\(510\) | −2374.54 | − | 11190.8i | −0.206170 | − | 0.971640i | ||||
\(511\) | 2411.50i | 0.208764i | ||||||||
\(512\) | −11027.1 | + | 3552.60i | −0.951823 | + | 0.306649i | ||||
\(513\) | 3107.64 | + | 3443.82i | 0.267458 | + | 0.296391i | ||||
\(514\) | −12250.1 | − | 9576.30i | −1.05123 | − | 0.821775i | ||||
\(515\) | −3684.63 | − | 1642.45i | −0.315270 | − | 0.140534i | ||||
\(516\) | −2466.70 | − | 86.6066i | −0.210446 | − | 0.00738884i | ||||
\(517\) | −29586.1 | −2.51682 | ||||||||
\(518\) | −93.6857 | − | 73.2370i | −0.00794655 | − | 0.00621207i | ||||
\(519\) | 4434.79 | − | 15487.2i | 0.375078 | − | 1.30985i | ||||
\(520\) | −11977.7 | + | 10757.2i | −1.01011 | + | 0.907182i | ||||
\(521\) | − | 9974.29i | − | 0.838736i | −0.907816 | − | 0.419368i | \(-0.862252\pi\) | ||
0.907816 | − | 0.419368i | \(-0.137748\pi\) | |||||||
\(522\) | −4504.84 | − | 12359.6i | −0.377724 | − | 1.03633i | ||||
\(523\) | 13425.7i | 1.12250i | 0.827647 | + | 0.561248i | \(0.189679\pi\) | ||||
−0.827647 | + | 0.561248i | \(0.810321\pi\) | |||||||
\(524\) | 7223.92 | − | 1796.88i | 0.602249 | − | 0.149804i | ||||
\(525\) | −1110.59 | − | 2280.05i | −0.0923244 | − | 0.189542i | ||||
\(526\) | −6089.87 | + | 7790.23i | −0.504812 | + | 0.645761i | ||||
\(527\) | − | 4301.74i | − | 0.355573i | ||||||
\(528\) | −4073.44 | − | 19234.2i | −0.335745 | − | 1.58535i | ||||
\(529\) | 3950.83 | 0.324717 | ||||||||
\(530\) | −11392.5 | + | 6047.01i | −0.933694 | + | 0.495595i | ||||
\(531\) | −250.229 | + | 401.099i | −0.0204501 | + | 0.0327801i | ||||
\(532\) | −249.306 | − | 1002.27i | −0.0203172 | − | 0.0816805i | ||||
\(533\) | 30265.7i | 2.45957i | ||||||||
\(534\) | −9079.49 | + | 6597.85i | −0.735783 | + | 0.534676i | ||||
\(535\) | −13761.6 | − | 6134.33i | −1.11209 | − | 0.495720i | ||||
\(536\) | 739.375 | + | 329.927i | 0.0595824 | + | 0.0265870i | ||||
\(537\) | 2887.19 | − | 10082.7i | 0.232014 | − | 0.810241i | ||||
\(538\) | −1304.93 | − | 1020.10i | −0.104571 | − | 0.0817466i | ||||
\(539\) | − | 19377.1i | − | 1.54848i | ||||||
\(540\) | −10641.1 | + | 6650.71i | −0.847996 | + | 0.530002i | ||||
\(541\) | 8972.66i | 0.713059i | 0.934284 | + | 0.356530i | \(0.116040\pi\) | ||||
−0.934284 | + | 0.356530i | \(0.883960\pi\) | |||||||
\(542\) | −13095.5 | + | 16752.0i | −1.03783 | + | 1.32760i | ||||
\(543\) | −2779.92 | + | 9708.06i | −0.219701 | + | 0.767243i | ||||
\(544\) | 12408.3 | + | 2205.62i | 0.977943 | + | 0.173833i | ||||
\(545\) | 5406.77 | − | 12129.4i | 0.424955 | − | 0.953334i | ||||
\(546\) | −2146.81 | − | 2954.29i | −0.168269 | − | 0.231560i | ||||
\(547\) | − | 1210.47i | − | 0.0946175i | −0.998880 | − | 0.0473087i | \(-0.984936\pi\) | ||
0.998880 | − | 0.0473087i | \(-0.0150645\pi\) | |||||||
\(548\) | 695.349 | + | 2795.48i | 0.0542041 | + | 0.217914i | ||||
\(549\) | 3502.88 | − | 5614.87i | 0.272312 | − | 0.436497i | ||||
\(550\) | 20853.1 | − | 1433.92i | 1.61669 | − | 0.111169i | ||||
\(551\) | 5695.48 | 0.440355 | ||||||||
\(552\) | −8160.86 | − | 6854.25i | −0.629256 | − | 0.528508i | ||||
\(553\) | 424.291i | 0.0326269i | ||||||||
\(554\) | 1123.16 | + | 878.008i | 0.0861343 | + | 0.0673339i | ||||
\(555\) | −479.148 | − | 402.116i | −0.0366463 | − | 0.0307547i | ||||
\(556\) | −1108.69 | − | 4457.22i | −0.0845666 | − | 0.339979i | ||||
\(557\) | − | 13253.5i | − | 1.00820i | −0.863644 | − | 0.504102i | \(-0.831824\pi\) | ||
0.863644 | − | 0.504102i | \(-0.168176\pi\) | |||||||
\(558\) | −4433.28 | + | 1615.85i | −0.336337 | + | 0.122588i | ||||
\(559\) | − | 3778.54i | − | 0.285895i | ||||||
\(560\) | 2787.44 | − | 190.583i | 0.210341 | − | 0.0143815i | ||||
\(561\) | −5887.77 | + | 20561.3i | −0.443105 | + | 1.54741i | ||||
\(562\) | 13749.1 | − | 17588.0i | 1.03197 | − | 1.32011i | ||||
\(563\) | −7028.69 | −0.526152 | −0.263076 | − | 0.964775i | \(-0.584737\pi\) | ||||
−0.263076 | + | 0.964775i | \(0.584737\pi\) | |||||||
\(564\) | −20789.8 | − | 729.939i | −1.55215 | − | 0.0544964i | ||||
\(565\) | −6802.09 | − | 3032.08i | −0.506488 | − | 0.225771i | ||||
\(566\) | −9571.87 | + | 12244.5i | −0.710840 | + | 0.909316i | ||||
\(567\) | −1251.54 | − | 2556.60i | −0.0926983 | − | 0.189360i | ||||
\(568\) | −8201.11 | + | 18378.9i | −0.605829 | + | 1.35768i | ||||
\(569\) | − | 15183.3i | − | 1.11866i | −0.828945 | − | 0.559330i | \(-0.811058\pi\) | ||
0.828945 | − | 0.559330i | \(-0.188942\pi\) | |||||||
\(570\) | −1127.68 | − | 5314.56i | −0.0828656 | − | 0.390531i | ||||
\(571\) | −20286.3 | −1.48679 | −0.743395 | − | 0.668853i | \(-0.766786\pi\) | ||||
−0.743395 | + | 0.668853i | \(0.766786\pi\) | |||||||
\(572\) | 29208.3 | − | 7265.29i | 2.13507 | − | 0.531079i | ||||
\(573\) | 19622.9 | + | 5619.05i | 1.43064 | + | 0.409667i | ||||
\(574\) | 3234.91 | − | 4138.13i | 0.235231 | − | 0.300910i | ||||
\(575\) | 8426.80 | − | 7574.08i | 0.611168 | − | 0.549324i | ||||
\(576\) | −2387.82 | − | 13616.2i | −0.172730 | − | 0.984969i | ||||
\(577\) | 11832.9i | 0.853744i | 0.904312 | + | 0.426872i | \(0.140385\pi\) | ||||
−0.904312 | + | 0.426872i | \(0.859615\pi\) | |||||||
\(578\) | 146.801 | + | 114.759i | 0.0105642 | + | 0.00825836i | ||||
\(579\) | 652.780 | − | 2279.64i | 0.0468542 | − | 0.163625i | ||||
\(580\) | −2690.53 | + | 15170.6i | −0.192618 | + | 1.08607i | ||||
\(581\) | −2454.20 | −0.175245 | ||||||||
\(582\) | −10299.2 | + | 7484.20i | −0.733534 | + | 0.533041i | ||||
\(583\) | 24113.4 | 1.71299 | ||||||||
\(584\) | −12761.7 | − | 5694.57i | −0.904252 | − | 0.403498i | ||||
\(585\) | −10746.8 | − | 15922.9i | −0.759528 | − | 1.12535i | ||||
\(586\) | 1199.11 | − | 1533.92i | 0.0845306 | − | 0.108133i | ||||
\(587\) | −18390.7 | −1.29313 | −0.646565 | − | 0.762859i | \(-0.723795\pi\) | ||||
−0.646565 | + | 0.762859i | \(0.723795\pi\) | |||||||
\(588\) | 478.065 | − | 13616.1i | 0.0335290 | − | 0.954962i | ||||
\(589\) | − | 2042.92i | − | 0.142915i | ||||||
\(590\) | 489.070 | − | 259.593i | 0.0341266 | − | 0.0181140i | ||||
\(591\) | −5903.52 | + | 20616.3i | −0.410894 | + | 1.43493i | ||||
\(592\) | 608.803 | − | 322.843i | 0.0422663 | − | 0.0224134i | ||||
\(593\) | −26626.5 | −1.84388 | −0.921939 | − | 0.387335i | \(-0.873396\pi\) | ||||
−0.921939 | + | 0.387335i | \(0.873396\pi\) | |||||||
\(594\) | 23401.7 | − | 1655.57i | 1.61647 | − | 0.114358i | ||||
\(595\) | −2776.04 | − | 1237.44i | −0.191271 | − | 0.0852605i | ||||
\(596\) | −2708.69 | − | 10889.6i | −0.186162 | − | 0.748417i | ||||
\(597\) | −6287.98 | + | 21958.9i | −0.431072 | + | 1.50539i | ||||
\(598\) | 10048.2 | − | 12853.8i | 0.687126 | − | 0.878979i | ||||
\(599\) | 13589.0 | 0.926929 | 0.463465 | − | 0.886115i | \(-0.346606\pi\) | ||||
0.463465 | + | 0.886115i | \(0.346606\pi\) | |||||||
\(600\) | 14688.7 | − | 493.123i | 0.999437 | − | 0.0335527i | ||||
\(601\) | 271.371 | 0.0184184 | 0.00920920 | − | 0.999958i | \(-0.497069\pi\) | ||||
0.00920920 | + | 0.999958i | \(0.497069\pi\) | |||||||
\(602\) | −403.864 | + | 516.628i | −0.0273426 | + | 0.0349770i | ||||
\(603\) | −511.361 | + | 819.676i | −0.0345344 | + | 0.0553562i | ||||
\(604\) | 5536.01 | − | 1377.03i | 0.372942 | − | 0.0927659i | ||||
\(605\) | −22100.9 | − | 9851.65i | −1.48518 | − | 0.662027i | ||||
\(606\) | −13327.3 | − | 18340.1i | −0.893375 | − | 1.22940i | ||||
\(607\) | 21346.6 | 1.42740 | 0.713701 | − | 0.700451i | \(-0.247018\pi\) | ||||
0.713701 | + | 0.700451i | \(0.247018\pi\) | |||||||
\(608\) | 5892.76 | + | 1047.46i | 0.393064 | + | 0.0698684i | ||||
\(609\) | −3359.96 | − | 962.129i | −0.223567 | − | 0.0640188i | ||||
\(610\) | −6846.35 | + | 3633.97i | −0.454427 | + | 0.241205i | ||||
\(611\) | − | 31846.3i | − | 2.10862i | ||||||
\(612\) | −4644.56 | + | 14303.0i | −0.306773 | + | 0.944712i | ||||
\(613\) | −25625.9 | −1.68845 | −0.844227 | − | 0.535986i | \(-0.819940\pi\) | ||||
−0.844227 | + | 0.535986i | \(0.819940\pi\) | |||||||
\(614\) | −9266.45 | + | 11853.8i | −0.609061 | + | 0.779118i | ||||
\(615\) | 17761.6 | − | 21164.1i | 1.16458 | − | 1.38768i | ||||
\(616\) | −4770.10 | − | 2128.53i | −0.312002 | − | 0.139222i | ||||
\(617\) | 25139.3 | 1.64031 | 0.820154 | − | 0.572142i | \(-0.193888\pi\) | ||||
0.820154 | + | 0.572142i | \(0.193888\pi\) | |||||||
\(618\) | 3117.39 | + | 4289.93i | 0.202912 | + | 0.279234i | ||||
\(619\) | 2383.46 | 0.154765 | 0.0773824 | − | 0.997001i | \(-0.475344\pi\) | ||||
0.0773824 | + | 0.997001i | \(0.475344\pi\) | |||||||
\(620\) | 5441.55 | + | 965.070i | 0.352480 | + | 0.0625131i | ||||
\(621\) | 9441.19 | − | 8519.56i | 0.610083 | − | 0.550529i | ||||
\(622\) | 17453.5 | + | 13643.9i | 1.12511 | + | 0.879536i | ||||
\(623\) | 2981.86i | 0.191759i | ||||||||
\(624\) | 20703.7 | − | 4384.63i | 1.32822 | − | 0.281291i | ||||
\(625\) | −1660.65 | + | 15536.5i | −0.106282 | + | 0.994336i | ||||
\(626\) | −4136.60 | + | 5291.59i | −0.264108 | + | 0.337851i | ||||
\(627\) | −2796.13 | + | 9764.67i | −0.178097 | + | 0.621951i | ||||
\(628\) | 3659.00 | + | 14710.1i | 0.232500 | + | 0.934710i | ||||
\(629\) | −749.633 | −0.0475196 | ||||||||
\(630\) | −232.524 | + | 3325.74i | −0.0147047 | + | 0.210318i | ||||
\(631\) | − | 13751.7i | − | 0.867585i | −0.901013 | − | 0.433793i | \(-0.857175\pi\) | ||
0.901013 | − | 0.433793i | \(-0.142825\pi\) | |||||||
\(632\) | −2245.35 | − | 1001.93i | −0.141322 | − | 0.0630611i | ||||
\(633\) | 21466.9 | + | 6147.07i | 1.34792 | + | 0.385978i | ||||
\(634\) | 7153.99 | − | 9151.47i | 0.448140 | − | 0.573267i | ||||
\(635\) | −2651.68 | − | 1182.00i | −0.165714 | − | 0.0738684i | ||||
\(636\) | 16944.2 | + | 594.918i | 1.05642 | + | 0.0370913i | ||||
\(637\) | 20857.4 | 1.29733 | ||||||||
\(638\) | 17740.4 | − | 22693.7i | 1.10086 | − | 1.40823i | ||||
\(639\) | −20375.0 | − | 12711.1i | −1.26138 | − | 0.786923i | ||||
\(640\) | −5573.75 | + | 15201.2i | −0.344253 | + | 0.938877i | ||||
\(641\) | 7866.10i | 0.484699i | 0.970189 | + | 0.242350i | \(0.0779181\pi\) | ||||
−0.970189 | + | 0.242350i | \(0.922082\pi\) | |||||||
\(642\) | 11643.1 | + | 16022.4i | 0.715755 | + | 0.984972i | ||||
\(643\) | − | 27498.6i | − | 1.68653i | −0.537498 | − | 0.843265i | \(-0.680630\pi\) | ||
0.537498 | − | 0.843265i | \(-0.319370\pi\) | |||||||
\(644\) | −2747.72 | + | 683.468i | −0.168129 | + | 0.0418205i | ||||
\(645\) | −2217.46 | + | 2642.25i | −0.135368 | + | 0.161300i | ||||
\(646\) | −5129.49 | − | 4009.88i | −0.312410 | − | 0.244221i | ||||
\(647\) | − | 2282.05i | − | 0.138666i | −0.997594 | − | 0.0693328i | \(-0.977913\pi\) | ||
0.997594 | − | 0.0693328i | \(-0.0220870\pi\) | |||||||
\(648\) | 16485.0 | − | 585.993i | 0.999369 | − | 0.0355247i | ||||
\(649\) | −1035.17 | −0.0626100 | ||||||||
\(650\) | 1543.47 | + | 22446.2i | 0.0931383 | + | 1.35448i | ||||
\(651\) | −345.107 | + | 1205.19i | −0.0207770 | + | 0.0725576i | ||||
\(652\) | −19273.3 | + | 4794.05i | −1.15767 | + | 0.287960i | ||||
\(653\) | 12749.7i | 0.764065i | 0.924149 | + | 0.382032i | \(0.124776\pi\) | ||||
−0.924149 | + | 0.382032i | \(0.875224\pi\) | |||||||
\(654\) | −14122.0 | + | 10262.1i | −0.844365 | + | 0.613580i | ||||
\(655\) | 4235.62 | − | 9502.09i | 0.252671 | − | 0.566836i | ||||
\(656\) | 14260.1 | + | 26891.1i | 0.848724 | + | 1.60049i | ||||
\(657\) | 8826.15 | − | 14147.7i | 0.524111 | − | 0.840113i | ||||
\(658\) | −3403.85 | + | 4354.25i | −0.201666 | + | 0.257973i | ||||
\(659\) | 11221.7i | 0.663329i | 0.943397 | + | 0.331664i | \(0.107610\pi\) | ||||
−0.943397 | + | 0.331664i | \(0.892390\pi\) | |||||||
\(660\) | −24688.4 | − | 12060.6i | −1.45605 | − | 0.711302i | ||||
\(661\) | 16408.1i | 0.965506i | 0.875756 | + | 0.482753i | \(0.160363\pi\) | ||||
−0.875756 | + | 0.482753i | \(0.839637\pi\) | |||||||
\(662\) | −9757.98 | − | 7628.11i | −0.572892 | − | 0.447848i | ||||
\(663\) | −22132.1 | − | 6337.57i | −1.29644 | − | 0.371238i | ||||
\(664\) | 5795.40 | − | 12987.7i | 0.338713 | − | 0.759066i | ||||
\(665\) | −1318.35 | − | 587.665i | −0.0768775 | − | 0.0342687i | ||||
\(666\) | 281.582 | + | 772.556i | 0.0163830 | + | 0.0449489i | ||||
\(667\) | − | 15614.1i | − | 0.906416i | ||||||
\(668\) | −24162.1 | + | 6010.09i | −1.39949 | + | 0.348110i | ||||
\(669\) | −27923.6 | − | 7995.98i | −1.61374 | − | 0.462096i | ||||
\(670\) | 999.450 | − | 530.497i | 0.0576300 | − | 0.0305894i | ||||
\(671\) | 14491.0 | 0.833710 | ||||||||
\(672\) | −3299.39 | − | 1613.39i | −0.189400 | − | 0.0926156i | ||||
\(673\) | − | 9153.75i | − | 0.524296i | −0.965028 | − | 0.262148i | \(-0.915569\pi\) | ||
0.965028 | − | 0.262148i | \(-0.0844309\pi\) | |||||||
\(674\) | −11801.0 | + | 15096.0i | −0.674419 | + | 0.862725i | ||||
\(675\) | −1829.46 | + | 17441.3i | −0.104320 | + | 0.994544i | ||||
\(676\) | 3577.75 | + | 14383.5i | 0.203559 | + | 0.818358i | ||||
\(677\) | − | 17813.6i | − | 1.01128i | −0.862746 | − | 0.505638i | \(-0.831257\pi\) | ||
0.862746 | − | 0.505638i | \(-0.168743\pi\) | |||||||
\(678\) | 5754.93 | + | 7919.53i | 0.325983 | + | 0.448595i | ||||
\(679\) | 3382.45i | 0.191173i | ||||||||
\(680\) | 13103.9 | − | 11768.7i | 0.738989 | − | 0.663691i | ||||
\(681\) | 10586.8 | + | 3031.53i | 0.595720 | + | 0.170585i | ||||
\(682\) | −8140.03 | − | 6363.31i | −0.457035 | − | 0.357278i | ||||
\(683\) | −1277.22 | −0.0715540 | −0.0357770 | − | 0.999360i | \(-0.511391\pi\) | ||||
−0.0357770 | + | 0.999360i | \(0.511391\pi\) | |||||||
\(684\) | −2205.73 | + | 6792.56i | −0.123301 | + | 0.379708i | ||||
\(685\) | 3677.07 | + | 1639.08i | 0.205100 | + | 0.0914250i | ||||
\(686\) | −5836.19 | − | 4562.33i | −0.324820 | − | 0.253922i | ||||
\(687\) | −4984.00 | + | 17405.2i | −0.276785 | + | 0.966593i | ||||
\(688\) | −1780.31 | − | 3357.23i | −0.0986536 | − | 0.186037i | ||||
\(689\) | 25955.5i | 1.43516i | ||||||||
\(690\) | −14569.8 | + | 3091.52i | −0.803859 | + | 0.170569i | ||||
\(691\) | −6041.97 | −0.332630 | −0.166315 | − | 0.986073i | \(-0.553187\pi\) | ||||
−0.166315 | + | 0.986073i | \(0.553187\pi\) | |||||||
\(692\) | 24069.0 | − | 5986.94i | 1.32221 | − | 0.328886i | ||||
\(693\) | 3299.06 | − | 5288.16i | 0.180838 | − | 0.289871i | ||||
\(694\) | −10673.3 | − | 8343.64i | −0.583793 | − | 0.456369i | ||||
\(695\) | −5862.87 | − | 2613.42i | −0.319988 | − | 0.142637i | ||||
\(696\) | 13025.9 | − | 15509.0i | 0.709403 | − | 0.844634i | ||||
\(697\) | − | 33111.6i | − | 1.79941i | ||||||
\(698\) | 5611.54 | − | 7178.35i | 0.304298 | − | 0.389262i | ||||
\(699\) | 3174.41 | + | 908.998i | 0.171770 | + | 0.0491866i | ||||
\(700\) | 2188.10 | − | 3233.97i | 0.118146 | − | 0.174618i | ||||
\(701\) | −8649.55 | −0.466033 | −0.233016 | − | 0.972473i | \(-0.574860\pi\) | ||||
−0.233016 | + | 0.972473i | \(0.574860\pi\) | |||||||
\(702\) | 1782.05 | + | 25189.5i | 0.0958106 | + | 1.35429i | ||||
\(703\) | −356.005 | −0.0190995 | ||||||||
\(704\) | 22528.5 | − | 20217.1i | 1.20607 | − | 1.08233i | ||||
\(705\) | −18689.2 | + | 22269.5i | −0.998407 | + | 1.18967i | ||||
\(706\) | 3963.83 | + | 3098.65i | 0.211304 | + | 0.165183i | ||||
\(707\) | −6023.21 | −0.320405 | ||||||||
\(708\) | −727.402 | − | 25.5394i | −0.0386122 | − | 0.00135569i | ||||
\(709\) | 32669.4i | 1.73050i | 0.501339 | + | 0.865251i | \(0.332841\pi\) | ||||
−0.501339 | + | 0.865251i | \(0.667159\pi\) | |||||||
\(710\) | 13186.8 | + | 24843.7i | 0.697030 | + | 1.31319i | ||||
\(711\) | 1552.91 | − | 2489.21i | 0.0819112 | − | 0.131298i | ||||
\(712\) | −15780.1 | − | 7041.44i | −0.830594 | − | 0.370631i | ||||
\(713\) | −5600.63 | −0.294173 | ||||||||
\(714\) | 2348.67 | + | 3232.08i | 0.123105 | + | 0.169408i | ||||
\(715\) | 17125.8 | − | 38419.6i | 0.895760 | − | 2.00952i | ||||
\(716\) | 15669.7 | − | 3897.69i | 0.817883 | − | 0.203441i | ||||
\(717\) | 16727.8 | + | 4790.03i | 0.871285 | + | 0.249494i | ||||
\(718\) | 1980.25 | + | 1548.02i | 0.102928 | + | 0.0804618i | ||||
\(719\) | 35829.6 | 1.85844 | 0.929221 | − | 0.369524i | \(-0.120479\pi\) | ||||
0.929221 | + | 0.369524i | \(0.120479\pi\) | |||||||
\(720\) | −17050.8 | − | 9083.99i | −0.882563 | − | 0.470195i | ||||
\(721\) | 1408.89 | 0.0727736 | ||||||||
\(722\) | 12848.2 | + | 10043.9i | 0.662274 | + | 0.517720i | ||||
\(723\) | −22126.3 | − | 6335.89i | −1.13815 | − | 0.325912i | ||||
\(724\) | −15087.5 | + | 3752.87i | −0.774479 | + | 0.192644i | ||||
\(725\) | 14393.8 | + | 16014.4i | 0.737343 | + | 0.820356i | ||||
\(726\) | 18698.6 | + | 25731.7i | 0.955881 | + | 1.31542i | ||||
\(727\) | −15633.8 | −0.797561 | −0.398781 | − | 0.917046i | \(-0.630566\pi\) | ||||
−0.398781 | + | 0.917046i | \(0.630566\pi\) | |||||||
\(728\) | 2291.14 | − | 5134.52i | 0.116642 | − | 0.261398i | ||||
\(729\) | −2014.70 | + | 19579.6i | −0.102357 | + | 0.994748i | ||||
\(730\) | −17250.6 | + | 9156.45i | −0.874622 | + | 0.464240i | ||||
\(731\) | 4133.84i | 0.209159i | ||||||||
\(732\) | 10182.7 | + | 357.518i | 0.514158 | + | 0.0180523i | ||||
\(733\) | 6139.39 | 0.309364 | 0.154682 | − | 0.987964i | \(-0.450565\pi\) | ||||
0.154682 | + | 0.987964i | \(0.450565\pi\) | |||||||
\(734\) | 5347.62 | + | 4180.40i | 0.268916 | + | 0.210220i | ||||
\(735\) | −14585.1 | − | 12240.3i | −0.731946 | − | 0.614272i | ||||
\(736\) | 2871.59 | − | 16154.9i | 0.143816 | − | 0.809074i | ||||
\(737\) | −2115.44 | −0.105730 | ||||||||
\(738\) | −34124.1 | + | 12437.6i | −1.70207 | + | 0.620371i | ||||
\(739\) | −23289.0 | −1.15927 | −0.579634 | − | 0.814877i | \(-0.696804\pi\) | ||||
−0.579634 | + | 0.814877i | \(0.696804\pi\) | |||||||
\(740\) | 168.176 | − | 948.259i | 0.00835441 | − | 0.0471063i | ||||
\(741\) | −10510.7 | − | 3009.74i | −0.521078 | − | 0.149211i | ||||
\(742\) | 2774.22 | − | 3548.82i | 0.137257 | − | 0.175581i | ||||
\(743\) | − | 22930.0i | − | 1.13219i | −0.824339 | − | 0.566096i | \(-0.808453\pi\) | ||
0.824339 | − | 0.566096i | \(-0.191547\pi\) | |||||||
\(744\) | −5562.93 | − | 4672.27i | −0.274122 | − | 0.230233i | ||||
\(745\) | −14323.8 | − | 6384.95i | −0.704409 | − | 0.313995i | ||||
\(746\) | 16851.5 | + | 13173.3i | 0.827045 | + | 0.646527i | ||||
\(747\) | 14398.2 | + | 8982.44i | 0.705225 | + | 0.439960i | ||||
\(748\) | −31954.8 | + | 7948.45i | −1.56201 | + | 0.388535i | ||||
\(749\) | 5262.02 | 0.256702 | ||||||||
\(750\) | 12093.4 | − | 16602.0i | 0.588784 | − | 0.808290i | ||||
\(751\) | − | 10373.1i | − | 0.504023i | −0.967724 | − | 0.252011i | \(-0.918908\pi\) | ||
0.967724 | − | 0.252011i | \(-0.0810920\pi\) | |||||||
\(752\) | −15004.8 | − | 28295.5i | −0.727620 | − | 1.37211i | ||||
\(753\) | 3138.49 | − | 10960.3i | 0.151890 | − | 0.530431i | ||||
\(754\) | 24427.4 | + | 19095.7i | 1.17983 | + | 0.922311i | ||||
\(755\) | 3245.95 | − | 7281.87i | 0.156466 | − | 0.351013i | ||||
\(756\) | 2448.69 | − | 3634.55i | 0.117802 | − | 0.174851i | ||||
\(757\) | −19427.2 | −0.932753 | −0.466377 | − | 0.884586i | \(-0.654441\pi\) | ||||
−0.466377 | + | 0.884586i | \(0.654441\pi\) | |||||||
\(758\) | 15653.6 | + | 12236.9i | 0.750085 | + | 0.586364i | ||||
\(759\) | 26769.7 | + | 7665.55i | 1.28021 | + | 0.366590i | ||||
\(760\) | 6223.12 | − | 5589.02i | 0.297022 | − | 0.266757i | ||||
\(761\) | 17770.0i | 0.846467i | 0.906021 | + | 0.423233i | \(0.139105\pi\) | ||||
−0.906021 | + | 0.423233i | \(0.860895\pi\) | |||||||
\(762\) | 2243.46 | + | 3087.29i | 0.106656 | + | 0.146773i | ||||
\(763\) | 4637.92i | 0.220058i | ||||||||
\(764\) | 7585.68 | + | 30496.4i | 0.359215 | + | 1.44414i | ||||
\(765\) | 11757.3 | + | 17420.1i | 0.555667 | + | 0.823301i | ||||
\(766\) | 5759.14 | − | 7367.16i | 0.271653 | − | 0.347502i | ||||
\(767\) | − | 1114.25i | − | 0.0524553i | ||||||
\(768\) | 16329.3 | − | 13650.6i | 0.767232 | − | 0.641370i | ||||
\(769\) | 6380.37 | 0.299196 | 0.149598 | − | 0.988747i | \(-0.452202\pi\) | ||||
0.149598 | + | 0.988747i | \(0.452202\pi\) | |||||||
\(770\) | −6447.98 | + | 3422.52i | −0.301778 | + | 0.160181i |