Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [143,4,Mod(2,143)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(143, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("143.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 143.w (of order \(60\), degree \(16\), 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: | \(8.43727313082\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 2.15 | ||
Character | \(\chi\) | \(=\) | 143.2 |
Dual form | 143.4.w.a.72.15 |
$q$-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 \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.46478 | − | 0.951240i | −0.517878 | − | 0.336314i | 0.259091 | − | 0.965853i | \(-0.416577\pi\) |
−0.776969 | + | 0.629539i | \(0.783244\pi\) | |||||||
\(3\) | −9.44006 | − | 4.20299i | −1.81674 | − | 0.808865i | −0.951603 | − | 0.307330i | \(-0.900564\pi\) |
−0.865138 | − | 0.501535i | \(-0.832769\pi\) | |||||||
\(4\) | −2.01317 | − | 4.52165i | −0.251646 | − | 0.565206i | ||||
\(5\) | 13.4542 | + | 6.85525i | 1.20338 | + | 0.613152i | 0.936530 | − | 0.350587i | \(-0.114018\pi\) |
0.266848 | + | 0.963739i | \(0.414018\pi\) | |||||||
\(6\) | 9.82957 | + | 15.1362i | 0.668818 | + | 1.02989i | ||||
\(7\) | −4.19617 | + | 10.9314i | −0.226572 | + | 0.590239i | −0.998993 | − | 0.0448714i | \(-0.985712\pi\) |
0.772421 | + | 0.635111i | \(0.219046\pi\) | |||||||
\(8\) | −3.53809 | + | 22.3386i | −0.156363 | + | 0.987236i | ||||
\(9\) | 53.3831 | + | 59.2880i | 1.97715 | + | 2.19585i | ||||
\(10\) | −13.1864 | − | 22.8396i | −0.416992 | − | 0.722251i | ||||
\(11\) | −22.5290 | − | 28.6958i | −0.617521 | − | 0.786554i | ||||
\(12\) | 51.1460i | 1.23038i | ||||||||
\(13\) | 41.1202 | − | 22.4974i | 0.877283 | − | 0.479973i | ||||
\(14\) | 16.5448 | − | 12.0205i | 0.315842 | − | 0.229473i | ||||
\(15\) | −98.1958 | − | 121.262i | −1.69027 | − | 2.08731i | ||||
\(16\) | −0.0633316 | + | 0.0703369i | −0.000989557 | + | 0.00109901i | ||||
\(17\) | 27.6273 | + | 5.87236i | 0.394153 | + | 0.0837798i | 0.400725 | − | 0.916199i | \(-0.368758\pi\) |
−0.00657146 | + | 0.999978i | \(0.502092\pi\) | |||||||
\(18\) | −21.7975 | − | 137.624i | −0.285429 | − | 1.80213i | ||||
\(19\) | −52.6848 | + | 65.0603i | −0.636143 | + | 0.785572i | −0.988650 | − | 0.150238i | \(-0.951996\pi\) |
0.352507 | + | 0.935809i | \(0.385329\pi\) | |||||||
\(20\) | 3.91150 | − | 74.6359i | 0.0437319 | − | 0.834454i | ||||
\(21\) | 85.5565 | − | 85.5565i | 0.889046 | − | 0.889046i | ||||
\(22\) | 5.70343 | + | 63.4634i | 0.0552717 | + | 0.615020i | ||||
\(23\) | 108.335 | − | 62.5471i | 0.982146 | − | 0.567042i | 0.0792285 | − | 0.996856i | \(-0.474754\pi\) |
0.902917 | + | 0.429814i | \(0.141421\pi\) | |||||||
\(24\) | 127.289 | − | 196.007i | 1.08261 | − | 1.66708i | ||||
\(25\) | 60.5474 | + | 83.3364i | 0.484379 | + | 0.666691i | ||||
\(26\) | −81.6324 | − | 6.16140i | −0.615747 | − | 0.0464750i | ||||
\(27\) | −168.537 | − | 518.703i | −1.20129 | − | 3.69720i | ||||
\(28\) | 57.8755 | − | 3.03313i | 0.390623 | − | 0.0204717i | ||||
\(29\) | −63.6144 | − | 6.68614i | −0.407341 | − | 0.0428133i | −0.101358 | − | 0.994850i | \(-0.532319\pi\) |
−0.305984 | + | 0.952037i | \(0.598985\pi\) | |||||||
\(30\) | 28.4863 | + | 271.029i | 0.173362 | + | 1.64943i | ||||
\(31\) | 64.1536 | + | 125.908i | 0.371688 | + | 0.729478i | 0.998776 | − | 0.0494703i | \(-0.0157533\pi\) |
−0.627088 | + | 0.778949i | \(0.715753\pi\) | |||||||
\(32\) | 174.931 | − | 46.8726i | 0.966366 | − | 0.258937i | ||||
\(33\) | 92.0668 | + | 365.579i | 0.485660 | + | 1.92846i | ||||
\(34\) | −34.8819 | − | 34.8819i | −0.175947 | − | 0.175947i | ||||
\(35\) | −131.393 | + | 118.307i | −0.634558 | + | 0.571358i | ||||
\(36\) | 160.610 | − | 360.736i | 0.743566 | − | 1.67008i | ||||
\(37\) | 91.3370 | − | 73.9633i | 0.405830 | − | 0.328635i | −0.404575 | − | 0.914505i | \(-0.632580\pi\) |
0.810405 | + | 0.585870i | \(0.199247\pi\) | |||||||
\(38\) | 139.060 | − | 45.1832i | 0.593643 | − | 0.192886i | ||||
\(39\) | −482.733 | + | 39.5492i | −1.98203 | + | 0.162383i | ||||
\(40\) | −200.739 | + | 276.293i | −0.793490 | + | 1.09214i | ||||
\(41\) | −15.6747 | − | 40.8339i | −0.0597067 | − | 0.155541i | 0.900482 | − | 0.434893i | \(-0.143214\pi\) |
−0.960189 | + | 0.279352i | \(0.909880\pi\) | |||||||
\(42\) | −206.706 | + | 43.9368i | −0.759416 | + | 0.161419i | ||||
\(43\) | 90.1369 | − | 156.122i | 0.319669 | − | 0.553682i | −0.660750 | − | 0.750606i | \(-0.729762\pi\) |
0.980419 | + | 0.196924i | \(0.0630951\pi\) | |||||||
\(44\) | −84.3976 | + | 159.637i | −0.289168 | + | 0.546960i | ||||
\(45\) | 311.793 | + | 1163.63i | 1.03287 | + | 3.85473i | ||||
\(46\) | −218.184 | − | 11.4345i | −0.699336 | − | 0.0366506i | ||||
\(47\) | 154.558 | + | 24.4795i | 0.479671 | + | 0.0759725i | 0.391588 | − | 0.920141i | \(-0.371926\pi\) |
0.0880834 | + | 0.996113i | \(0.471926\pi\) | |||||||
\(48\) | 0.893480 | − | 0.397803i | 0.00268672 | − | 0.00119621i | ||||
\(49\) | 153.011 | + | 137.772i | 0.446097 | + | 0.401668i | ||||
\(50\) | −9.41582 | − | 179.665i | −0.0266320 | − | 0.508168i | ||||
\(51\) | −236.122 | − | 171.553i | −0.648307 | − | 0.471023i | ||||
\(52\) | −184.507 | − | 140.640i | −0.492049 | − | 0.375063i | ||||
\(53\) | 62.1578 | − | 191.302i | 0.161095 | − | 0.495799i | −0.837632 | − | 0.546234i | \(-0.816061\pi\) |
0.998727 | + | 0.0504351i | \(0.0160608\pi\) | |||||||
\(54\) | −246.541 | + | 920.105i | −0.621297 | + | 2.31871i | ||||
\(55\) | −106.392 | − | 540.519i | −0.260835 | − | 1.32516i | ||||
\(56\) | −229.346 | − | 132.413i | −0.547278 | − | 0.315971i | ||||
\(57\) | 770.795 | − | 392.740i | 1.79113 | − | 0.912626i | ||||
\(58\) | 86.8210 | + | 70.3062i | 0.196554 | + | 0.159167i | ||||
\(59\) | 235.952 | + | 90.5735i | 0.520650 | + | 0.199859i | 0.604479 | − | 0.796621i | \(-0.293382\pi\) |
−0.0838287 | + | 0.996480i | \(0.526715\pi\) | |||||||
\(60\) | −350.618 | + | 688.127i | −0.754410 | + | 1.48061i | ||||
\(61\) | 182.801 | − | 860.012i | 0.383693 | − | 1.80514i | −0.185174 | − | 0.982706i | \(-0.559285\pi\) |
0.568867 | − | 0.822430i | \(-0.307382\pi\) | |||||||
\(62\) | 25.7982 | − | 245.454i | 0.0528448 | − | 0.502785i | ||||
\(63\) | −872.104 | + | 334.769i | −1.74404 | + | 0.669476i | ||||
\(64\) | −300.102 | − | 97.5092i | −0.586137 | − | 0.190448i | ||||
\(65\) | 707.463 | − | 20.7950i | 1.35000 | − | 0.0396815i | ||||
\(66\) | 212.895 | − | 623.070i | 0.397054 | − | 1.16204i | ||||
\(67\) | 652.854 | + | 174.932i | 1.19043 | + | 0.318975i | 0.799056 | − | 0.601257i | \(-0.205333\pi\) |
0.391374 | + | 0.920232i | \(0.372000\pi\) | |||||||
\(68\) | −29.0656 | − | 136.743i | −0.0518342 | − | 0.243861i | ||||
\(69\) | −1285.57 | + | 135.119i | −2.24296 | + | 0.235745i | ||||
\(70\) | 305.001 | − | 48.3074i | 0.520779 | − | 0.0824834i | ||||
\(71\) | 282.628 | − | 183.541i | 0.472419 | − | 0.306793i | −0.286381 | − | 0.958116i | \(-0.592452\pi\) |
0.758800 | + | 0.651323i | \(0.225786\pi\) | |||||||
\(72\) | −1513.28 | + | 982.739i | −2.47698 | + | 1.60857i | ||||
\(73\) | 168.011 | − | 26.6104i | 0.269373 | − | 0.0426645i | −0.0202865 | − | 0.999794i | \(-0.506458\pi\) |
0.289660 | + | 0.957130i | \(0.406458\pi\) | |||||||
\(74\) | −204.145 | + | 21.4566i | −0.320695 | + | 0.0337064i | ||||
\(75\) | −221.310 | − | 1041.18i | −0.340729 | − | 1.60300i | ||||
\(76\) | 400.243 | + | 107.245i | 0.604093 | + | 0.161866i | ||||
\(77\) | 408.220 | − | 125.861i | 0.604168 | − | 0.186275i | ||||
\(78\) | 744.719 | + | 401.264i | 1.08106 | + | 0.582490i | ||||
\(79\) | 816.288 | + | 265.228i | 1.16253 | + | 0.377728i | 0.825849 | − | 0.563892i | \(-0.190697\pi\) |
0.336678 | + | 0.941620i | \(0.390697\pi\) | |||||||
\(80\) | −1.33425 | + | 0.512172i | −0.00186467 | + | 0.000715781i | ||||
\(81\) | −363.944 | + | 3462.69i | −0.499237 | + | 4.74992i | ||||
\(82\) | −15.8829 | + | 74.7231i | −0.0213899 | + | 0.100632i | ||||
\(83\) | −525.034 | + | 1030.44i | −0.694336 | + | 1.36271i | 0.226981 | + | 0.973899i | \(0.427115\pi\) |
−0.921317 | + | 0.388813i | \(0.872885\pi\) | |||||||
\(84\) | −559.096 | − | 214.617i | −0.726219 | − | 0.278769i | ||||
\(85\) | 331.446 | + | 268.400i | 0.422946 | + | 0.342495i | ||||
\(86\) | −280.540 | + | 142.942i | −0.351760 | + | 0.179231i | ||||
\(87\) | 572.422 | + | 330.488i | 0.705403 | + | 0.407265i | ||||
\(88\) | 720.733 | − | 401.737i | 0.873072 | − | 0.486652i | ||||
\(89\) | −15.4962 | + | 57.8325i | −0.0184561 | + | 0.0688790i | −0.974540 | − | 0.224215i | \(-0.928018\pi\) |
0.956084 | + | 0.293094i | \(0.0946849\pi\) | |||||||
\(90\) | 650.179 | − | 2001.05i | 0.761499 | − | 2.34365i | ||||
\(91\) | 73.3805 | + | 543.903i | 0.0845315 | + | 0.626555i | ||||
\(92\) | −500.912 | − | 363.934i | −0.567649 | − | 0.412421i | ||||
\(93\) | −76.4221 | − | 1458.22i | −0.0852107 | − | 1.62592i | ||||
\(94\) | −203.107 | − | 182.879i | −0.222861 | − | 0.200665i | ||||
\(95\) | −1154.84 | + | 514.166i | −1.24720 | + | 0.555287i | ||||
\(96\) | −1848.36 | − | 292.752i | −1.96508 | − | 0.311238i | ||||
\(97\) | 1242.31 | + | 65.1068i | 1.30039 | + | 0.0681505i | 0.689917 | − | 0.723888i | \(-0.257647\pi\) |
0.610471 | + | 0.792039i | \(0.290980\pi\) | |||||||
\(98\) | −93.0738 | − | 347.356i | −0.0959375 | − | 0.358044i | ||||
\(99\) | 498.647 | − | 2867.56i | 0.506221 | − | 2.91112i | ||||
\(100\) | 254.926 | − | 441.544i | 0.254926 | − | 0.441544i | ||||
\(101\) | −1079.59 | + | 229.473i | −1.06359 | + | 0.226074i | −0.706295 | − | 0.707917i | \(-0.749635\pi\) |
−0.357297 | + | 0.933991i | \(0.616302\pi\) | |||||||
\(102\) | 182.679 | + | 475.895i | 0.177333 | + | 0.461967i | ||||
\(103\) | 742.451 | − | 1021.90i | 0.710251 | − | 0.977576i | −0.289541 | − | 0.957166i | \(-0.593503\pi\) |
0.999792 | − | 0.0204107i | \(-0.00649738\pi\) | |||||||
\(104\) | 357.073 | + | 998.165i | 0.336672 | + | 0.941136i | ||||
\(105\) | 1737.60 | − | 564.582i | 1.61498 | − | 0.524738i | ||||
\(106\) | −273.022 | + | 221.089i | −0.250172 | + | 0.202585i | ||||
\(107\) | 157.429 | − | 353.591i | 0.142236 | − | 0.319467i | −0.828355 | − | 0.560204i | \(-0.810723\pi\) |
0.970590 | + | 0.240738i | \(0.0773893\pi\) | |||||||
\(108\) | −2006.10 | + | 1806.30i | −1.78738 | + | 1.60937i | ||||
\(109\) | −784.000 | − | 784.000i | −0.688932 | − | 0.688932i | 0.273064 | − | 0.961996i | \(-0.411963\pi\) |
−0.961996 | + | 0.273064i | \(0.911963\pi\) | |||||||
\(110\) | −358.322 | + | 892.947i | −0.310588 | + | 0.773992i | ||||
\(111\) | −1173.09 | + | 314.329i | −1.00311 | + | 0.268782i | ||||
\(112\) | −0.503130 | − | 0.987448i | −0.000424476 | − | 0.000833081i | ||||
\(113\) | −42.0019 | − | 399.621i | −0.0349664 | − | 0.332683i | −0.997995 | − | 0.0632856i | \(-0.979842\pi\) |
0.963029 | − | 0.269398i | \(-0.0868246\pi\) | |||||||
\(114\) | −1502.64 | − | 157.933i | −1.23452 | − | 0.129753i | ||||
\(115\) | 1886.33 | − | 98.8584i | 1.52958 | − | 0.0801617i | ||||
\(116\) | 97.8340 | + | 301.102i | 0.0783074 | + | 0.241005i | ||||
\(117\) | 3528.95 | + | 1236.95i | 2.78847 | + | 0.977402i | ||||
\(118\) | −259.461 | − | 357.117i | −0.202418 | − | 0.278604i | ||||
\(119\) | −180.122 | + | 277.363i | −0.138754 | + | 0.213662i | ||||
\(120\) | 3056.24 | − | 1764.52i | 2.32496 | − | 1.34232i | ||||
\(121\) | −315.893 | + | 1292.97i | −0.237335 | + | 0.971428i | ||||
\(122\) | −1085.84 | + | 1085.84i | −0.805799 | + | 0.805799i | ||||
\(123\) | −23.6545 | + | 451.355i | −0.0173403 | + | 0.330873i | ||||
\(124\) | 440.162 | − | 543.555i | 0.318772 | − | 0.393650i | ||||
\(125\) | −51.9452 | − | 327.969i | −0.0371689 | − | 0.234675i | ||||
\(126\) | 1595.89 | + | 339.216i | 1.12836 | + | 0.239840i | ||||
\(127\) | 901.628 | − | 1001.36i | 0.629973 | − | 0.699655i | −0.340670 | − | 0.940183i | \(-0.610654\pi\) |
0.970642 | + | 0.240528i | \(0.0773205\pi\) | |||||||
\(128\) | −564.939 | − | 697.642i | −0.390110 | − | 0.481745i | ||||
\(129\) | −1507.07 | + | 1094.95i | −1.02861 | + | 0.747328i | ||||
\(130\) | −1056.06 | − | 642.507i | −0.712481 | − | 0.433474i | ||||
\(131\) | 1131.20i | 0.754452i | 0.926121 | + | 0.377226i | \(0.123122\pi\) | ||||
−0.926121 | + | 0.377226i | \(0.876878\pi\) | |||||||
\(132\) | 1467.67 | − | 1152.26i | 0.967761 | − | 0.759786i | ||||
\(133\) | −490.125 | − | 848.922i | −0.319543 | − | 0.553465i | ||||
\(134\) | −789.885 | − | 877.257i | −0.509222 | − | 0.565548i | ||||
\(135\) | 1288.31 | − | 8134.09i | 0.821336 | − | 5.18571i | ||||
\(136\) | −228.928 | + | 596.378i | −0.144341 | + | 0.376022i | ||||
\(137\) | −346.579 | − | 533.684i | −0.216133 | − | 0.332816i | 0.713929 | − | 0.700218i | \(-0.246914\pi\) |
−0.930062 | + | 0.367402i | \(0.880247\pi\) | |||||||
\(138\) | 2011.61 | + | 1024.97i | 1.24087 | + | 0.632253i | ||||
\(139\) | 118.897 | + | 267.048i | 0.0725521 | + | 0.162955i | 0.946181 | − | 0.323638i | \(-0.104906\pi\) |
−0.873629 | + | 0.486593i | \(0.838239\pi\) | |||||||
\(140\) | 799.460 | + | 355.943i | 0.482619 | + | 0.214876i | ||||
\(141\) | −1356.15 | − | 880.692i | −0.809987 | − | 0.526012i | ||||
\(142\) | −588.579 | −0.347834 | ||||||||
\(143\) | −1571.97 | − | 673.132i | −0.919266 | − | 0.393637i | ||||
\(144\) | −7.55097 | −0.00436978 | ||||||||
\(145\) | −810.044 | − | 526.049i | −0.463935 | − | 0.301283i | ||||
\(146\) | −271.413 | − | 120.841i | −0.153851 | − | 0.0684990i | ||||
\(147\) | −865.382 | − | 1943.68i | −0.485548 | − | 1.09056i | ||||
\(148\) | −518.313 | − | 264.093i | −0.287872 | − | 0.146678i | ||||
\(149\) | 1504.50 | + | 2316.72i | 0.827203 | + | 1.27378i | 0.959256 | + | 0.282538i | \(0.0911764\pi\) |
−0.132053 | + | 0.991243i | \(0.542157\pi\) | |||||||
\(150\) | −666.242 | + | 1735.62i | −0.362656 | + | 0.944752i | ||||
\(151\) | −155.130 | + | 979.452i | −0.0836046 | + | 0.527859i | 0.909970 | + | 0.414675i | \(0.136105\pi\) |
−0.993574 | + | 0.113183i | \(0.963895\pi\) | |||||||
\(152\) | −1266.95 | − | 1407.09i | −0.676076 | − | 0.750858i | ||||
\(153\) | 1126.67 | + | 1951.45i | 0.595333 | + | 1.03115i | ||||
\(154\) | −717.676 | − | 203.957i | −0.375532 | − | 0.106723i | ||||
\(155\) | 2133.78i | 1.10574i | ||||||||
\(156\) | 1150.65 | + | 2103.13i | 0.590550 | + | 1.07939i | ||||
\(157\) | 1647.47 | − | 1196.96i | 0.837470 | − | 0.608457i | −0.0841931 | − | 0.996449i | \(-0.526831\pi\) |
0.921663 | + | 0.387992i | \(0.126831\pi\) | |||||||
\(158\) | −943.388 | − | 1164.99i | −0.475012 | − | 0.586591i | ||||
\(159\) | −1390.81 | + | 1544.65i | −0.693702 | + | 0.770434i | ||||
\(160\) | 2674.88 | + | 568.562i | 1.32167 | + | 0.280930i | ||||
\(161\) | 229.136 | + | 1446.71i | 0.112164 | + | 0.708177i | ||||
\(162\) | 3826.95 | − | 4725.89i | 1.85601 | − | 2.29198i | ||||
\(163\) | −99.0558 | + | 1890.10i | −0.0475991 | + | 0.908244i | 0.865601 | + | 0.500734i | \(0.166936\pi\) |
−0.913200 | + | 0.407511i | \(0.866397\pi\) | |||||||
\(164\) | −153.081 | + | 153.081i | −0.0728879 | + | 0.0728879i | ||||
\(165\) | −1267.45 | + | 5549.70i | −0.598004 | + | 2.61845i | ||||
\(166\) | 1749.25 | − | 1009.93i | 0.817881 | − | 0.472204i | ||||
\(167\) | −162.612 | + | 250.401i | −0.0753491 | + | 0.116027i | −0.874336 | − | 0.485321i | \(-0.838703\pi\) |
0.798987 | + | 0.601348i | \(0.205370\pi\) | |||||||
\(168\) | 1608.51 | + | 2213.92i | 0.738685 | + | 1.01671i | ||||
\(169\) | 1184.74 | − | 1850.19i | 0.539251 | − | 0.842145i | ||||
\(170\) | −230.183 | − | 708.431i | −0.103849 | − | 0.319613i | ||||
\(171\) | −6669.77 | + | 349.548i | −2.98275 | + | 0.156319i | ||||
\(172\) | −887.388 | − | 93.2682i | −0.393388 | − | 0.0413467i | ||||
\(173\) | 53.5696 | + | 509.680i | 0.0235423 | + | 0.223990i | 0.999967 | + | 0.00813146i | \(0.00258835\pi\) |
−0.976425 | + | 0.215859i | \(0.930745\pi\) | |||||||
\(174\) | −524.099 | − | 1028.60i | −0.228344 | − | 0.448150i | ||||
\(175\) | −1165.05 | + | 312.174i | −0.503254 | + | 0.134846i | ||||
\(176\) | 3.44517 | + | 0.232732i | 0.00147551 | + | 9.96753e-5i | ||||
\(177\) | −1846.72 | − | 1846.72i | −0.784227 | − | 0.784227i | ||||
\(178\) | 77.7111 | − | 69.9714i | 0.0327230 | − | 0.0294639i | ||||
\(179\) | 121.033 | − | 271.845i | 0.0505387 | − | 0.113512i | −0.886511 | − | 0.462707i | \(-0.846878\pi\) |
0.937050 | + | 0.349195i | \(0.113545\pi\) | |||||||
\(180\) | 4633.82 | − | 3752.39i | 1.91880 | − | 1.55381i | ||||
\(181\) | −1541.65 | + | 500.913i | −0.633094 | + | 0.205705i | −0.607945 | − | 0.793979i | \(-0.708006\pi\) |
−0.0251487 | + | 0.999684i | \(0.508006\pi\) | |||||||
\(182\) | 409.896 | − | 866.501i | 0.166942 | − | 0.352908i | ||||
\(183\) | −5340.27 | + | 7350.25i | −2.15718 | + | 2.96911i | ||||
\(184\) | 1013.92 | + | 2641.34i | 0.406233 | + | 1.05827i | ||||
\(185\) | 1735.90 | − | 368.977i | 0.689870 | − | 0.146636i | ||||
\(186\) | −1275.17 | + | 2208.67i | −0.502690 | + | 0.870685i | ||||
\(187\) | −453.902 | − | 925.084i | −0.177501 | − | 0.361759i | ||||
\(188\) | −200.463 | − | 748.137i | −0.0777673 | − | 0.290231i | ||||
\(189\) | 6377.35 | + | 334.223i | 2.45441 | + | 0.128630i | ||||
\(190\) | 2180.68 | + | 345.385i | 0.832646 | + | 0.131878i | ||||
\(191\) | −3109.20 | + | 1384.31i | −1.17787 | + | 0.524423i | −0.899871 | − | 0.436157i | \(-0.856339\pi\) |
−0.278003 | + | 0.960580i | \(0.589673\pi\) | |||||||
\(192\) | 2423.15 | + | 2181.82i | 0.910813 | + | 0.820100i | ||||
\(193\) | 48.7829 | + | 930.833i | 0.0181941 | + | 0.347165i | 0.992525 | + | 0.122043i | \(0.0389447\pi\) |
−0.974331 | + | 0.225122i | \(0.927722\pi\) | |||||||
\(194\) | −1757.78 | − | 1277.10i | −0.650523 | − | 0.472633i | ||||
\(195\) | −6765.90 | − | 2777.15i | −2.48470 | − | 1.01988i | ||||
\(196\) | 314.919 | − | 969.222i | 0.114766 | − | 0.353215i | ||||
\(197\) | −135.881 | + | 507.115i | −0.0491427 | + | 0.183403i | −0.986134 | − | 0.165948i | \(-0.946931\pi\) |
0.936992 | + | 0.349352i | \(0.113598\pi\) | |||||||
\(198\) | −3458.15 | + | 3726.02i | −1.24121 | + | 1.33736i | ||||
\(199\) | 906.728 | + | 523.500i | 0.322996 | + | 0.186482i | 0.652727 | − | 0.757593i | \(-0.273625\pi\) |
−0.329731 | + | 0.944075i | \(0.606958\pi\) | |||||||
\(200\) | −2075.84 | + | 1057.69i | −0.733921 | + | 0.373951i | ||||
\(201\) | −5427.74 | − | 4395.30i | −1.90469 | − | 1.54239i | ||||
\(202\) | 1799.64 | + | 690.817i | 0.626843 | + | 0.240622i | ||||
\(203\) | 340.025 | − | 667.337i | 0.117562 | − | 0.230728i | ||||
\(204\) | −300.348 | + | 1413.02i | −0.103081 | + | 0.484958i | ||||
\(205\) | 69.0367 | − | 656.841i | 0.0235207 | − | 0.223784i | ||||
\(206\) | −2059.59 | + | 790.604i | −0.696596 | + | 0.267398i | ||||
\(207\) | 9491.54 | + | 3083.99i | 3.18699 | + | 1.03552i | ||||
\(208\) | −1.02181 | + | 4.31706i | −0.000340624 | + | 0.00143911i | ||||
\(209\) | 3053.89 | + | 46.0894i | 1.01073 | + | 0.0152539i | ||||
\(210\) | −3082.26 | − | 825.889i | −1.01284 | − | 0.271389i | ||||
\(211\) | −826.762 | − | 3889.61i | −0.269747 | − | 1.26906i | −0.879282 | − | 0.476301i | \(-0.841977\pi\) |
0.609535 | − | 0.792759i | \(-0.291356\pi\) | |||||||
\(212\) | −990.135 | + | 104.067i | −0.320768 | + | 0.0337140i | ||||
\(213\) | −3439.44 | + | 544.754i | −1.10642 | + | 0.175239i | ||||
\(214\) | −566.948 | + | 368.181i | −0.181102 | + | 0.117609i | ||||
\(215\) | 2282.97 | − | 1482.58i | 0.724174 | − | 0.470284i | ||||
\(216\) | 12183.4 | − | 1929.66i | 3.83785 | − | 0.607856i | ||||
\(217\) | −1645.55 | + | 172.955i | −0.514781 | + | 0.0541056i | ||||
\(218\) | 402.616 | + | 1894.16i | 0.125085 | + | 0.588480i | ||||
\(219\) | −1697.88 | − | 454.946i | −0.523891 | − | 0.140376i | ||||
\(220\) | −2229.85 | + | 1569.22i | −0.683349 | + | 0.480896i | ||||
\(221\) | 1268.15 | − | 380.069i | 0.385996 | − | 0.115684i | ||||
\(222\) | 2017.33 | + | 655.469i | 0.609883 | + | 0.198163i | ||||
\(223\) | 3316.81 | − | 1273.20i | 0.996009 | − | 0.382332i | 0.194882 | − | 0.980827i | \(-0.437567\pi\) |
0.801127 | + | 0.598494i | \(0.204234\pi\) | |||||||
\(224\) | −221.657 | + | 2108.92i | −0.0661163 | + | 0.629055i | ||||
\(225\) | −1708.63 | + | 8038.49i | −0.506262 | + | 2.38177i | ||||
\(226\) | −318.612 | + | 625.311i | −0.0937776 | + | 0.184049i | ||||
\(227\) | 1335.84 | + | 512.782i | 0.390586 | + | 0.149932i | 0.545732 | − | 0.837960i | \(-0.316252\pi\) |
−0.155146 | + | 0.987891i | \(0.549585\pi\) | |||||||
\(228\) | −3327.57 | − | 2694.61i | −0.966552 | − | 0.782698i | ||||
\(229\) | −2259.99 | + | 1151.52i | −0.652157 | + | 0.332291i | −0.748575 | − | 0.663050i | \(-0.769262\pi\) |
0.0964176 | + | 0.995341i | \(0.469262\pi\) | |||||||
\(230\) | −2857.10 | − | 1649.55i | −0.819094 | − | 0.472904i | ||||
\(231\) | −4382.61 | − | 527.610i | −1.24829 | − | 0.150278i | ||||
\(232\) | 374.432 | − | 1397.40i | 0.105960 | − | 0.395448i | ||||
\(233\) | −1507.80 | + | 4640.54i | −0.423947 | + | 1.30477i | 0.480053 | + | 0.877240i | \(0.340617\pi\) |
−0.903999 | + | 0.427534i | \(0.859383\pi\) | |||||||
\(234\) | −3992.50 | − | 5168.73i | −1.11537 | − | 1.44398i | ||||
\(235\) | 1911.63 | + | 1388.88i | 0.530644 | + | 0.385535i | ||||
\(236\) | −65.4695 | − | 1249.23i | −0.0180580 | − | 0.344568i | ||||
\(237\) | −6591.06 | − | 5934.62i | −1.80648 | − | 1.62656i | ||||
\(238\) | 527.678 | − | 234.937i | 0.143715 | − | 0.0639862i | ||||
\(239\) | 2745.06 | + | 434.775i | 0.742942 | + | 0.117670i | 0.516420 | − | 0.856336i | \(-0.327264\pi\) |
0.226522 | + | 0.974006i | \(0.427264\pi\) | |||||||
\(240\) | 14.7481 | + | 0.772914i | 0.00396660 | + | 0.000207881i | ||||
\(241\) | 1588.15 | + | 5927.07i | 0.424489 | + | 1.58422i | 0.765036 | + | 0.643988i | \(0.222721\pi\) |
−0.340546 | + | 0.940228i | \(0.610612\pi\) | |||||||
\(242\) | 1692.64 | − | 1593.43i | 0.449615 | − | 0.423262i | ||||
\(243\) | 10626.4 | − | 18405.5i | 2.80529 | − | 4.85891i | ||||
\(244\) | −4256.68 | + | 904.786i | −1.11683 | + | 0.237389i | ||||
\(245\) | 1114.18 | + | 2902.54i | 0.290540 | + | 0.756884i | ||||
\(246\) | 463.996 | − | 638.635i | 0.120257 | − | 0.165520i | ||||
\(247\) | −702.721 | + | 3860.56i | −0.181025 | + | 0.994500i | ||||
\(248\) | −3039.60 | + | 987.626i | −0.778286 | + | 0.252880i | ||||
\(249\) | 9287.26 | − | 7520.67i | 2.36368 | − | 1.91407i | ||||
\(250\) | −235.889 | + | 529.815i | −0.0596757 | + | 0.134034i | ||||
\(251\) | 3574.28 | − | 3218.30i | 0.898831 | − | 0.809311i | −0.0834911 | − | 0.996509i | \(-0.526607\pi\) |
0.982322 | + | 0.187197i | \(0.0599404\pi\) | |||||||
\(252\) | 3269.40 | + | 3269.40i | 0.817274 | + | 0.817274i | ||||
\(253\) | −4235.50 | − | 1699.63i | −1.05251 | − | 0.422350i | ||||
\(254\) | −2273.22 | + | 609.107i | −0.561553 | + | 0.150468i | ||||
\(255\) | −2000.79 | − | 3926.77i | −0.491351 | − | 0.964330i | ||||
\(256\) | 427.756 | + | 4069.83i | 0.104433 | + | 0.993610i | ||||
\(257\) | 256.247 | + | 26.9326i | 0.0621954 | + | 0.00653700i | 0.135575 | − | 0.990767i | \(-0.456712\pi\) |
−0.0733796 | + | 0.997304i | \(0.523378\pi\) | |||||||
\(258\) | 3249.10 | − | 170.278i | 0.784031 | − | 0.0410893i | ||||
\(259\) | 425.256 | + | 1308.80i | 0.102024 | + | 0.313996i | ||||
\(260\) | −1518.27 | − | 3157.04i | −0.362150 | − | 0.753043i | ||||
\(261\) | −2999.53 | − | 4128.49i | −0.711364 | − | 0.979109i | ||||
\(262\) | 1076.04 | − | 1656.96i | 0.253733 | − | 0.390714i | ||||
\(263\) | −3120.38 | + | 1801.55i | −0.731600 | + | 0.422390i | −0.819007 | − | 0.573783i | \(-0.805475\pi\) |
0.0874070 | + | 0.996173i | \(0.472142\pi\) | |||||||
\(264\) | −8492.26 | + | 763.196i | −1.97978 | + | 0.177922i | ||||
\(265\) | 2147.71 | − | 2147.71i | 0.497858 | − | 0.497858i | ||||
\(266\) | −89.6021 | + | 1709.71i | −0.0206536 | + | 0.394094i | ||||
\(267\) | 389.354 | − | 480.812i | 0.0892438 | − | 0.110207i | ||||
\(268\) | −523.325 | − | 3304.14i | −0.119280 | − | 0.753107i | ||||
\(269\) | 2775.85 | + | 590.025i | 0.629169 | + | 0.133734i | 0.511450 | − | 0.859313i | \(-0.329109\pi\) |
0.117719 | + | 0.993047i | \(0.462442\pi\) | |||||||
\(270\) | −9624.56 | + | 10689.2i | −2.16938 | + | 2.40934i | ||||
\(271\) | 5097.27 | + | 6294.61i | 1.14257 | + | 1.41096i | 0.897253 | + | 0.441518i | \(0.145560\pi\) |
0.245320 | + | 0.969442i | \(0.421107\pi\) | |||||||
\(272\) | −2.16273 | + | 1.57131i | −0.000482112 | + | 0.000350275i | ||||
\(273\) | 1593.30 | − | 5442.90i | 0.353227 | − | 1.20666i | ||||
\(274\) | 1111.41i | 0.245046i | ||||||||
\(275\) | 1027.33 | − | 3614.94i | 0.225274 | − | 0.792687i | ||||
\(276\) | 3199.03 | + | 5540.88i | 0.697678 | + | 1.20841i | ||||
\(277\) | −2047.65 | − | 2274.14i | −0.444156 | − | 0.493285i | 0.478944 | − | 0.877846i | \(-0.341020\pi\) |
−0.923100 | + | 0.384560i | \(0.874353\pi\) | |||||||
\(278\) | 79.8679 | − | 504.266i | 0.0172308 | − | 0.108791i | ||||
\(279\) | −4040.14 | + | 10524.9i | −0.866942 | + | 2.25846i | ||||
\(280\) | −2177.93 | − | 3353.73i | −0.464845 | − | 0.715798i | ||||
\(281\) | 582.423 | + | 296.759i | 0.123646 | + | 0.0630006i | 0.514719 | − | 0.857359i | \(-0.327896\pi\) |
−0.391074 | + | 0.920359i | \(0.627896\pi\) | |||||||
\(282\) | 1148.71 | + | 2580.04i | 0.242569 | + | 0.544820i | ||||
\(283\) | 6831.50 | + | 3041.58i | 1.43495 | + | 0.638880i | 0.969253 | − | 0.246065i | \(-0.0791377\pi\) |
0.465695 | + | 0.884945i | \(0.345804\pi\) | |||||||
\(284\) | −1398.88 | − | 908.446i | −0.292283 | − | 0.189811i | ||||
\(285\) | 13062.7 | 2.71498 | ||||||||
\(286\) | 1662.29 | + | 2481.31i | 0.343682 | + | 0.513018i | ||||
\(287\) | 512.145 | 0.105334 | ||||||||
\(288\) | 12117.3 | + | 7869.09i | 2.47924 | + | 1.61004i | ||||
\(289\) | −3759.47 | − | 1673.82i | −0.765208 | − | 0.340692i | ||||
\(290\) | 686.138 | + | 1541.09i | 0.138936 | + | 0.312055i | ||||
\(291\) | −11453.9 | − | 5836.03i | −2.30734 | − | 1.17565i | ||||
\(292\) | −458.558 | − | 706.118i | −0.0919010 | − | 0.141515i | ||||
\(293\) | 93.0136 | − | 242.309i | 0.0185458 | − | 0.0483134i | −0.923995 | − | 0.382405i | \(-0.875096\pi\) |
0.942541 | + | 0.334091i | \(0.108429\pi\) | |||||||
\(294\) | −581.311 | + | 3670.25i | −0.115315 | + | 0.728073i | ||||
\(295\) | 2553.64 | + | 2836.10i | 0.503995 | + | 0.559743i | ||||
\(296\) | 1329.08 | + | 2302.03i | 0.260983 | + | 0.452036i | ||||
\(297\) | −11087.6 | + | 16522.1i | −2.16623 | + | 3.22798i | ||||
\(298\) | − | 4824.63i | − | 0.937863i | ||||||
\(299\) | 3047.60 | − | 5009.19i | 0.589455 | − | 0.968860i | ||||
\(300\) | −4262.32 | + | 3096.76i | −0.820284 | + | 0.595971i | ||||
\(301\) | 1328.40 | + | 1640.43i | 0.254377 | + | 0.314130i | ||||
\(302\) | 1158.92 | − | 1287.12i | 0.220823 | − | 0.245249i | ||||
\(303\) | 11155.8 | + | 2371.25i | 2.11513 | + | 0.449586i | ||||
\(304\) | −1.23953 | − | 7.82606i | −0.000233854 | − | 0.00147650i | ||||
\(305\) | 8355.04 | − | 10317.6i | 1.56855 | − | 1.93700i | ||||
\(306\) | 205.972 | − | 3930.18i | 0.0384792 | − | 0.734227i | ||||
\(307\) | −2233.23 | + | 2233.23i | −0.415169 | + | 0.415169i | −0.883535 | − | 0.468366i | \(-0.844843\pi\) |
0.468366 | + | 0.883535i | \(0.344843\pi\) | |||||||
\(308\) | −1390.91 | − | 1592.45i | −0.257320 | − | 0.294604i | ||||
\(309\) | −11303.8 | + | 6526.25i | −2.08107 | + | 1.20151i | ||||
\(310\) | 2029.74 | − | 3125.52i | 0.371876 | − | 0.572638i | ||||
\(311\) | −6111.58 | − | 8411.87i | −1.11433 | − | 1.53374i | −0.814882 | − | 0.579626i | \(-0.803199\pi\) |
−0.299445 | − | 0.954114i | \(-0.596801\pi\) | |||||||
\(312\) | 824.478 | − | 10923.5i | 0.149605 | − | 1.98212i | ||||
\(313\) | −1229.37 | − | 3783.61i | −0.222007 | − | 0.683266i | −0.998582 | − | 0.0532412i | \(-0.983045\pi\) |
0.776575 | − | 0.630025i | \(-0.216955\pi\) | |||||||
\(314\) | −3551.78 | + | 186.141i | −0.638340 | + | 0.0334540i | ||||
\(315\) | −14028.4 | − | 1474.44i | −2.50924 | − | 0.263731i | ||||
\(316\) | −444.057 | − | 4224.92i | −0.0790511 | − | 0.752121i | ||||
\(317\) | −2240.95 | − | 4398.11i | −0.397048 | − | 0.779250i | 0.602778 | − | 0.797909i | \(-0.294060\pi\) |
−0.999826 | + | 0.0186586i | \(0.994060\pi\) | |||||||
\(318\) | 3506.57 | − | 939.583i | 0.618361 | − | 0.165689i | ||||
\(319\) | 1241.30 | + | 1976.09i | 0.217867 | + | 0.346834i | ||||
\(320\) | −3369.18 | − | 3369.18i | −0.588572 | − | 0.588572i | ||||
\(321\) | −2972.28 | + | 2676.25i | −0.516811 | + | 0.465338i | ||||
\(322\) | 1040.53 | − | 2337.07i | 0.180082 | − | 0.404472i | ||||
\(323\) | −1837.60 | + | 1488.06i | −0.316553 | + | 0.256339i | ||||
\(324\) | 16389.8 | − | 5325.36i | 2.81032 | − | 0.913127i | ||||
\(325\) | 4364.57 | + | 2064.65i | 0.744932 | + | 0.352388i | ||||
\(326\) | 1943.03 | − | 2674.35i | 0.330106 | − | 0.454352i | ||||
\(327\) | 4105.87 | + | 10696.1i | 0.694358 | + | 1.80886i | ||||
\(328\) | 967.631 | − | 205.676i | 0.162892 | − | 0.0346237i | ||||
\(329\) | −916.145 | + | 1586.81i | −0.153522 | + | 0.265908i | ||||
\(330\) | 7135.63 | − | 6923.45i | 1.19031 | − | 1.15492i | ||||
\(331\) | −1146.29 | − | 4278.01i | −0.190350 | − | 0.710394i | −0.993422 | − | 0.114513i | \(-0.963469\pi\) |
0.803072 | − | 0.595882i | \(-0.203197\pi\) | |||||||
\(332\) | 5716.25 | + | 299.576i | 0.944940 | + | 0.0495222i | ||||
\(333\) | 9260.99 | + | 1466.80i | 1.52402 | + | 0.241381i | ||||
\(334\) | 476.382 | − | 212.099i | 0.0780433 | − | 0.0347471i | ||||
\(335\) | 7584.41 | + | 6829.04i | 1.23696 | + | 1.11376i | ||||
\(336\) | 0.599347 | + | 11.4362i | 9.73126e−5 | + | 0.00185684i | ||||
\(337\) | 4794.78 | + | 3483.61i | 0.775039 | + | 0.563099i | 0.903486 | − | 0.428617i | \(-0.140999\pi\) |
−0.128447 | + | 0.991716i | \(0.540999\pi\) | |||||||
\(338\) | −3495.35 | + | 1583.16i | −0.562492 | + | 0.254771i | ||||
\(339\) | −1283.10 | + | 3948.98i | −0.205571 | + | 0.632682i | ||||
\(340\) | 546.353 | − | 2039.02i | 0.0871475 | − | 0.325239i | ||||
\(341\) | 2167.73 | − | 4677.52i | 0.344249 | − | 0.742821i | ||||
\(342\) | 10102.3 | + | 5832.54i | 1.59727 | + | 0.922186i | ||||
\(343\) | −5726.58 | + | 2917.84i | −0.901476 | + | 0.459325i | ||||
\(344\) | 3168.63 | + | 2565.90i | 0.496631 | + | 0.402164i | ||||
\(345\) | −18222.6 | − | 6994.99i | −2.84368 | − | 1.09159i | ||||
\(346\) | 406.360 | − | 797.527i | 0.0631389 | − | 0.123917i | ||||
\(347\) | 2576.76 | − | 12122.7i | 0.398639 | − | 1.87545i | −0.0789669 | − | 0.996877i | \(-0.525162\pi\) |
0.477606 | − | 0.878574i | \(-0.341505\pi\) | |||||||
\(348\) | 341.969 | − | 3253.62i | 0.0526766 | − | 0.501185i | ||||
\(349\) | 3252.71 | − | 1248.60i | 0.498893 | − | 0.191507i | −0.0958923 | − | 0.995392i | \(-0.530570\pi\) |
0.594785 | + | 0.803885i | \(0.297237\pi\) | |||||||
\(350\) | 2003.49 | + | 650.974i | 0.305975 | + | 0.0994173i | ||||
\(351\) | −18599.7 | − | 17537.5i | −2.82843 | − | 2.66690i | ||||
\(352\) | −5286.05 | − | 3963.78i | −0.800420 | − | 0.600200i | ||||
\(353\) | −8248.96 | − | 2210.30i | −1.24376 | − | 0.333265i | −0.423838 | − | 0.905738i | \(-0.639317\pi\) |
−0.819923 | + | 0.572473i | \(0.805984\pi\) | |||||||
\(354\) | 948.367 | + | 4461.72i | 0.142387 | + | 0.669880i | ||||
\(355\) | 5060.74 | − | 531.906i | 0.756610 | − | 0.0795229i | ||||
\(356\) | 292.695 | − | 46.3583i | 0.0435753 | − | 0.00690164i | ||||
\(357\) | 2866.11 | − | 1861.28i | 0.424904 | − | 0.275936i | ||||
\(358\) | −435.876 | + | 283.061i | −0.0643485 | + | 0.0417884i | ||||
\(359\) | −9264.97 | + | 1467.43i | −1.36208 | + | 0.215732i | −0.794339 | − | 0.607475i | \(-0.792182\pi\) |
−0.567741 | + | 0.823207i | \(0.692182\pi\) | |||||||
\(360\) | −27096.9 | + | 2848.00i | −3.96704 | + | 0.416952i | ||||
\(361\) | −31.0897 | − | 146.266i | −0.00453269 | − | 0.0213246i | ||||
\(362\) | 2734.67 | + | 732.752i | 0.397047 | + | 0.106388i | ||||
\(363\) | 8416.38 | − | 10878.0i | 1.21693 | − | 1.57286i | ||||
\(364\) | 2311.61 | − | 1426.77i | 0.332861 | − | 0.205448i | ||||
\(365\) | 2442.88 | + | 793.739i | 0.350318 | + | 0.113825i | ||||
\(366\) | 14814.2 | − | 5686.63i | 2.11571 | − | 0.812145i | ||||
\(367\) | −125.524 | + | 1194.28i | −0.0178536 | + | 0.169866i | −0.999815 | − | 0.0192137i | \(-0.993884\pi\) |
0.981962 | + | 0.189079i | \(0.0605504\pi\) | |||||||
\(368\) | −2.46165 | + | 11.5811i | −0.000348702 | + | 0.00164051i | ||||
\(369\) | 1584.20 | − | 3109.16i | 0.223496 | − | 0.438635i | ||||
\(370\) | −2893.70 | − | 1110.79i | −0.406585 | − | 0.156073i | ||||
\(371\) | 1830.37 | + | 1482.21i | 0.256141 | + | 0.207419i | ||||
\(372\) | −6439.71 | + | 3281.20i | −0.897536 | + | 0.457317i | ||||
\(373\) | −3979.79 | − | 2297.73i | −0.552455 | − | 0.318960i | 0.197657 | − | 0.980271i | \(-0.436667\pi\) |
−0.750112 | + | 0.661311i | \(0.770000\pi\) | |||||||
\(374\) | −215.110 | + | 1786.81i | −0.0297408 | + | 0.247043i | ||||
\(375\) | −888.083 | + | 3314.37i | −0.122294 | + | 0.456409i | ||||
\(376\) | −1093.68 | + | 3365.99i | −0.150006 | + | 0.461670i | ||||
\(377\) | −2766.25 | + | 1156.22i | −0.377903 | + | 0.157953i | ||||
\(378\) | −9023.50 | − | 6555.95i | −1.22783 | − | 0.892068i | ||||
\(379\) | −511.801 | − | 9765.74i | −0.0693653 | − | 1.32357i | −0.782548 | − | 0.622590i | \(-0.786080\pi\) |
0.713183 | − | 0.700978i | \(-0.247253\pi\) | |||||||
\(380\) | 4649.76 | + | 4186.66i | 0.627704 | + | 0.565187i | ||||
\(381\) | −12720.1 | + | 5663.36i | −1.71042 | + | 0.761530i | ||||
\(382\) | 5871.10 | + | 929.891i | 0.786366 | + | 0.124548i | ||||
\(383\) | 5308.37 | + | 278.200i | 0.708212 | + | 0.0371158i | 0.403041 | − | 0.915182i | \(-0.367953\pi\) |
0.305171 | + | 0.952298i | \(0.401286\pi\) | |||||||
\(384\) | 2400.88 | + | 8960.21i | 0.319061 | + | 1.19075i | ||||
\(385\) | 6355.06 | + | 1105.10i | 0.841257 | + | 0.146288i | ||||
\(386\) | 813.989 | − | 1409.87i | 0.107334 | − | 0.185908i | ||||
\(387\) | 14067.9 | − | 2990.23i | 1.84784 | − | 0.392770i | ||||
\(388\) | −2206.59 | − | 5748.37i | −0.288719 | − | 0.752137i | ||||
\(389\) | −4174.16 | + | 5745.24i | −0.544057 | + | 0.748830i | −0.989191 | − | 0.146634i | \(-0.953156\pi\) |
0.445134 | + | 0.895464i | \(0.353156\pi\) | |||||||
\(390\) | 7268.82 | + | 10503.9i | 0.943771 | + | 1.36381i | ||||
\(391\) | 3360.29 | − | 1091.83i | 0.434622 | − | 0.141217i | ||||
\(392\) | −3619.00 | + | 2930.61i | −0.466294 | + | 0.377597i | ||||
\(393\) | 4754.41 | − | 10678.6i | 0.610250 | − | 1.37064i | ||||
\(394\) | 681.424 | − | 613.557i | 0.0871310 | − | 0.0784531i | ||||
\(395\) | 9164.29 | + | 9164.29i | 1.16736 | + | 1.16736i | ||||
\(396\) | −13970.0 | + | 3518.18i | −1.77277 | + | 0.446453i | ||||
\(397\) | 6600.39 | − | 1768.57i | 0.834418 | − | 0.223582i | 0.183778 | − | 0.982968i | \(-0.441167\pi\) |
0.650640 | + | 0.759386i | \(0.274501\pi\) | |||||||
\(398\) | −830.184 | − | 1629.33i | −0.104556 | − | 0.205203i | ||||
\(399\) | 1058.81 | + | 10073.9i | 0.132849 | + | 1.26397i | ||||
\(400\) | −9.69619 | − | 1.01911i | −0.00121202 | − | 0.000127389i | ||||
\(401\) | −4997.70 | + | 261.918i | −0.622377 | + | 0.0326174i | −0.360918 | − | 0.932597i | \(-0.617537\pi\) |
−0.261458 | + | 0.965215i | \(0.584203\pi\) | |||||||
\(402\) | 3769.47 | + | 11601.2i | 0.467672 | + | 1.43935i | ||||
\(403\) | 5470.62 | + | 3734.09i | 0.676205 | + | 0.461559i | ||||
\(404\) | 3210.99 | + | 4419.54i | 0.395427 | + | 0.544259i | ||||
\(405\) | −28634.2 | + | 44092.8i | −3.51319 | + | 5.40985i | ||||
\(406\) | −1132.86 | + | 654.057i | −0.138480 | + | 0.0799515i | ||||
\(407\) | −4180.16 | − | 954.670i | −0.509098 | − | 0.116268i | ||||
\(408\) | 4667.67 | − | 4667.67i | 0.566382 | − | 0.566382i | ||||
\(409\) | 572.557 | − | 10925.0i | 0.0692203 | − | 1.32080i | −0.714477 | − | 0.699659i | \(-0.753335\pi\) |
0.783697 | − | 0.621143i | \(-0.213332\pi\) | |||||||
\(410\) | −725.937 | + | 896.457i | −0.0874426 | + | 0.107983i | ||||
\(411\) | 1028.66 | + | 6494.68i | 0.123455 | + | 0.779462i | ||||
\(412\) | −6115.33 | − | 1299.85i | −0.731264 | − | 0.155435i | ||||
\(413\) | −1980.19 | + | 2199.22i | −0.235929 | + | 0.262026i | ||||
\(414\) | −10969.4 | − | 13546.1i | −1.30221 | − | 1.60810i | ||||
\(415\) | −14127.8 | + | 10264.4i | −1.67110 | + | 1.21412i | ||||
\(416\) | 6138.68 | − | 5862.90i | 0.723494 | − | 0.690991i | ||||
\(417\) | − | 3020.67i | − | 0.354731i | ||||||
\(418\) | −4429.43 | − | 2972.49i | −0.518303 | − | 0.347821i | ||||
\(419\) | 5554.93 | + | 9621.42i | 0.647676 | + | 1.12181i | 0.983677 | + | 0.179945i | \(0.0575921\pi\) |
−0.336001 | + | 0.941862i | \(0.609075\pi\) | |||||||
\(420\) | −6050.93 | − | 6720.24i | −0.702988 | − | 0.780748i | ||||
\(421\) | −98.7355 | + | 623.391i | −0.0114301 | + | 0.0721668i | −0.992744 | − | 0.120247i | \(-0.961631\pi\) |
0.981314 | + | 0.192413i | \(0.0616315\pi\) | |||||||
\(422\) | −2488.92 | + | 6483.87i | −0.287107 | + | 0.747938i | ||||
\(423\) | 6799.43 | + | 10470.2i | 0.781560 | + | 1.20350i | ||||
\(424\) | 4053.50 | + | 2065.36i | 0.464282 | + | 0.236563i | ||||
\(425\) | 1183.38 | + | 2657.91i | 0.135064 | + | 0.303360i | ||||
\(426\) | 5556.22 | + | 2473.79i | 0.631924 | + | 0.281351i | ||||
\(427\) | 8634.06 | + | 5607.02i | 0.978528 | + | 0.635463i | ||||
\(428\) | −1915.74 | −0.216358 | ||||||||
\(429\) | 12010.4 | + | 12961.4i | 1.35167 | + | 1.45870i | ||||
\(430\) | −4754.34 | −0.533197 | ||||||||
\(431\) | −10871.7 | − | 7060.17i | −1.21502 | − | 0.789040i | −0.232027 | − | 0.972709i | \(-0.574536\pi\) |
−0.982988 | + | 0.183669i | \(0.941203\pi\) | |||||||
\(432\) | 47.1577 | + | 20.9960i | 0.00525203 | + | 0.00233835i | ||||
\(433\) | 2091.64 | + | 4697.91i | 0.232143 | + | 0.521402i | 0.991629 | − | 0.129122i | \(-0.0412159\pi\) |
−0.759486 | + | 0.650524i | \(0.774549\pi\) | |||||||
\(434\) | 2574.89 | + | 1311.97i | 0.284790 | + | 0.145108i | ||||
\(435\) | 5435.89 | + | 8370.54i | 0.599152 | + | 0.922613i | ||||
\(436\) | −1966.65 | + | 5123.30i | −0.216022 | + | 0.562756i | ||||
\(437\) | −1638.26 | + | 10343.6i | −0.179333 | + | 1.13227i | ||||
\(438\) | 2054.26 | + | 2281.49i | 0.224101 | + | 0.248890i | ||||
\(439\) | 4399.02 | + | 7619.33i | 0.478255 | + | 0.828362i | 0.999689 | − | 0.0249294i | \(-0.00793610\pi\) |
−0.521434 | + | 0.853292i | \(0.674603\pi\) | |||||||
\(440\) | 12450.9 | − | 464.247i | 1.34903 | − | 0.0503002i | ||||
\(441\) | 16426.4i | 1.77372i | ||||||||
\(442\) | −2219.10 | − | 649.598i | −0.238805 | − | 0.0699055i | ||||
\(443\) | −12975.0 | + | 9426.92i | −1.39156 | + | 1.01103i | −0.395873 | + | 0.918305i | \(0.629558\pi\) |
−0.995692 | + | 0.0927257i | \(0.970442\pi\) | |||||||
\(444\) | 3782.92 | + | 4671.52i | 0.404346 | + | 0.499325i | ||||
\(445\) | −604.945 | + | 671.859i | −0.0644430 | + | 0.0715712i | ||||
\(446\) | −6069.52 | − | 1290.12i | −0.644395 | − | 0.136970i | ||||
\(447\) | −4465.39 | − | 28193.4i | −0.472496 | − | 2.98323i | ||||
\(448\) | 2325.19 | − | 2871.37i | 0.245212 | − | 0.302811i | ||||
\(449\) | 745.242 | − | 14220.1i | 0.0783300 | − | 1.49462i | −0.623244 | − | 0.782028i | \(-0.714186\pi\) |
0.701574 | − | 0.712597i | \(-0.252481\pi\) | |||||||
\(450\) | 10149.3 | − | 10149.3i | 1.06321 | − | 1.06321i | ||||
\(451\) | −818.626 | + | 1369.74i | −0.0854714 | + | 0.143012i | ||||
\(452\) | −1722.39 | + | 994.422i | −0.179235 | + | 0.103482i | ||||
\(453\) | 5581.06 | − | 8594.08i | 0.578854 | − | 0.891357i | ||||
\(454\) | −1468.94 | − | 2021.82i | −0.151852 | − | 0.209006i | ||||
\(455\) | −2741.32 | + | 7820.81i | −0.282450 | + | 0.805814i | ||||
\(456\) | 6046.12 | + | 18608.0i | 0.620911 | + | 1.91097i | ||||
\(457\) | −9399.31 | + | 492.597i | −0.962103 | + | 0.0504217i | −0.526915 | − | 0.849918i | \(-0.676651\pi\) |
−0.435188 | + | 0.900340i | \(0.643318\pi\) | |||||||
\(458\) | 4405.75 | + | 463.063i | 0.449492 | + | 0.0472435i | ||||
\(459\) | −1610.20 | − | 15320.1i | −0.163743 | − | 1.55791i | ||||
\(460\) | −4244.50 | − | 8330.31i | −0.430220 | − | 0.844354i | ||||
\(461\) | −3314.09 | + | 888.008i | −0.334821 | + | 0.0897150i | −0.422313 | − | 0.906450i | \(-0.638782\pi\) |
0.0874916 | + | 0.996165i | \(0.472115\pi\) | |||||||
\(462\) | 5917.67 | + | 4941.74i | 0.595920 | + | 0.497642i | ||||
\(463\) | −595.979 | − | 595.979i | −0.0598218 | − | 0.0598218i | 0.676563 | − | 0.736385i | \(-0.263469\pi\) |
−0.736385 | + | 0.676563i | \(0.763469\pi\) | |||||||
\(464\) | 4.49909 | − | 4.05099i | 0.000450140 | − | 0.000405308i | ||||
\(465\) | 8968.26 | − | 20143.0i | 0.894394 | − | 2.00884i | ||||
\(466\) | 6622.87 | − | 5363.10i | 0.658366 | − | 0.533134i | ||||
\(467\) | 6888.01 | − | 2238.05i | 0.682524 | − | 0.221766i | 0.0528241 | − | 0.998604i | \(-0.483178\pi\) |
0.629700 | + | 0.776838i | \(0.283178\pi\) | |||||||
\(468\) | −1511.31 | − | 18446.8i | −0.149274 | − | 1.82202i | ||||
\(469\) | −4651.73 | + | 6402.55i | −0.457989 | + | 0.630368i | ||||
\(470\) | −1478.96 | − | 3852.83i | −0.145148 | − | 0.378123i | ||||
\(471\) | −20583.1 | + | 4375.06i | −2.01362 | + | 0.428009i | ||||
\(472\) | −2858.11 | + | 4950.38i | −0.278718 | + | 0.482754i | ||||
\(473\) | −6510.72 | + | 930.712i | −0.632903 | + | 0.0904739i | ||||
\(474\) | 4009.21 | + | 14962.6i | 0.388501 | + | 1.44990i | ||||
\(475\) | −8611.82 | − | 451.326i | −0.831868 | − | 0.0435964i | ||||
\(476\) | 1616.75 | + | 256.069i | 0.155680 | + | 0.0246573i | ||||
\(477\) | 14660.1 | − | 6527.09i | 1.40721 | − | 0.626530i | ||||
\(478\) | −3607.33 | − | 3248.06i | −0.345179 | − | 0.310801i | ||||
\(479\) | −781.825 | − | 14918.1i | −0.0745772 | − | 1.42302i | −0.738014 | − | 0.674786i | \(-0.764236\pi\) |
0.663437 | − | 0.748233i | \(-0.269097\pi\) | |||||||
\(480\) | −22861.3 | − | 16609.7i | −2.17390 | − | 1.57943i | ||||
\(481\) | 2091.81 | − | 5096.22i | 0.198292 | − | 0.483093i | ||||
\(482\) | 3311.77 | − | 10192.6i | 0.312960 | − | 0.963192i | ||||
\(483\) | 3917.43 | − | 14620.1i | 0.369046 | − | 1.37730i | ||||
\(484\) | 6482.30 | − | 1174.61i | 0.608781 | − | 0.110313i | ||||
\(485\) | 16268.0 | + | 9392.32i | 1.52307 | + | 0.879347i | ||||
\(486\) | −33073.5 | + | 16851.8i | −3.08692 | + | 1.57286i | ||||
\(487\) | −3159.85 | − | 2558.80i | −0.294018 | − | 0.238091i | 0.470949 | − | 0.882160i | \(-0.343911\pi\) |
−0.764967 | + | 0.644069i | \(0.777245\pi\) | |||||||
\(488\) | 18564.7 | + | 7126.32i | 1.72210 | + | 0.661052i | ||||
\(489\) | 8879.14 | − | 17426.3i | 0.821122 | − | 1.61154i | ||||
\(490\) | 1128.98 | − | 5311.44i | 0.104086 | − | 0.489686i | ||||
\(491\) | 229.220 | − | 2180.88i | 0.0210683 | − | 0.200452i | −0.978925 | − | 0.204222i | \(-0.934533\pi\) |
0.999993 | + | 0.00377033i | \(0.00120014\pi\) | |||||||
\(492\) | 2088.49 | − | 801.696i | 0.191375 | − | 0.0734619i | ||||
\(493\) | −1718.23 | − | 558.287i | −0.156968 | − | 0.0510019i | ||||
\(494\) | 4701.65 | − | 4986.42i | 0.428213 | − | 0.454149i | ||||
\(495\) | 26366.8 | − | 35162.4i | 2.39414 | − | 3.19279i | ||||
\(496\) | −12.9190 | − | 3.46163i | −0.00116951 | − | 0.000313370i | ||||
\(497\) | 820.401 | + | 3859.68i | 0.0740443 | + | 0.348351i | ||||
\(498\) | −20757.8 | + | 2181.73i | −1.86783 | + | 0.196316i | ||||
\(499\) | −3838.06 | + | 607.889i | −0.344319 | + | 0.0545347i | −0.326199 | − | 0.945301i | \(-0.605768\pi\) |
−0.0181197 | + | 0.999836i | \(0.505768\pi\) | |||||||
\(500\) | −1378.39 | + | 895.135i | −0.123287 | + | 0.0800633i | ||||
\(501\) | 2587.50 | − | 1680.34i | 0.230740 | − | 0.149845i | ||||
\(502\) | −8296.91 | + | 1314.10i | −0.737668 | + | 0.116835i | ||||
\(503\) | −13044.7 | + | 1371.05i | −1.15633 | + | 0.121535i | −0.663214 | − | 0.748430i | \(-0.730808\pi\) |
−0.493113 | + | 0.869965i | \(0.664141\pi\) | |||||||
\(504\) | −4392.70 | − | 20666.0i | −0.388227 | − | 1.82646i | ||||
\(505\) | −16098.0 | − | 4313.46i | −1.41852 | − | 0.380092i | ||||
\(506\) | 4587.33 | + | 6518.56i | 0.403027 | + | 0.572698i | ||||
\(507\) | −18960.3 | + | 12486.5i | −1.66086 | + | 1.09378i | ||||
\(508\) | −6342.92 | − | 2060.94i | −0.553980 | − | 0.179999i | ||||
\(509\) | −765.984 | + | 294.034i | −0.0667027 | + | 0.0256048i | −0.391491 | − | 0.920182i | \(-0.628040\pi\) |
0.324788 | + | 0.945787i | \(0.394707\pi\) | |||||||
\(510\) | −804.583 | + | 7655.09i | −0.0698579 | + | 0.664653i | ||||
\(511\) | −414.115 | + | 1948.26i | −0.0358501 | + | 0.168661i | ||||
\(512\) | −15.5565 | + | 30.5313i | −0.00134278 | + | 0.00263536i | ||||
\(513\) | 42626.3 | + | 16362.7i | 3.66861 | + | 1.40825i | ||||
\(514\) | −349.726 | − | 283.202i | −0.0300112 | − | 0.0243026i | ||||
\(515\) | 16994.4 | − | 8659.09i | 1.45410 | − | 0.740903i | ||||
\(516\) | 7984.99 | + | 4610.14i | 0.681240 | + | 0.393314i | ||||
\(517\) | −2779.56 | − | 4986.65i | −0.236451 | − | 0.424202i | ||||
\(518\) | 622.078 | − | 2321.63i | 0.0527655 | − | 0.196924i | ||||
\(519\) | 1636.48 | − | 5036.57i | 0.138407 | − | 0.425974i | ||||
\(520\) | −2038.54 | + | 15877.3i | −0.171915 | + | 1.33897i | ||||
\(521\) | 5089.04 | + | 3697.40i | 0.427936 | + | 0.310914i | 0.780823 | − | 0.624752i | \(-0.214800\pi\) |
−0.352887 | + | 0.935666i | \(0.614800\pi\) | |||||||
\(522\) | 466.461 | + | 8900.61i | 0.0391120 | + | 0.746301i | ||||
\(523\) | −3022.20 | − | 2721.20i | −0.252680 | − | 0.227514i | 0.533050 | − | 0.846084i | \(-0.321046\pi\) |
−0.785730 | + | 0.618570i | \(0.787712\pi\) | |||||||
\(524\) | 5114.88 | − | 2277.29i | 0.426421 | − | 0.189855i | ||||
\(525\) | 12310.2 | + | 1949.74i | 1.02335 | + | 0.162083i | ||||
\(526\) | 6284.38 | + | 329.350i | 0.520935 | + | 0.0273011i | ||||
\(527\) | 1033.01 | + | 3855.24i | 0.0853863 | + | 0.318666i | ||||
\(528\) | −31.5444 | − | 16.6770i | −0.00259999 | − | 0.00137457i | ||||
\(529\) | 1740.78 | − | 3015.11i | 0.143074 | − | 0.247811i | ||||
\(530\) | −5188.90 | + | 1102.93i | −0.425267 | + | 0.0903932i | ||||
\(531\) | 7225.94 | + | 18824.2i | 0.590544 | + | 1.53842i | ||||
\(532\) | −2851.82 | + | 3925.20i | −0.232410 | + | 0.319885i | ||||
\(533\) | −1563.20 | − | 1326.46i | −0.127035 | − | 0.107796i | ||||
\(534\) | −1027.69 | + | 333.915i | −0.0832815 | + | 0.0270598i | ||||
\(535\) | 4542.03 | − | 3678.06i | 0.367045 | − | 0.297227i | ||||
\(536\) | −6217.58 | + | 13964.9i | −0.501042 | + | 1.12536i | ||||
\(537\) | −2285.12 | + | 2057.53i | −0.183632 | + | 0.165343i | ||||
\(538\) | −3504.75 | − | 3504.75i | −0.280856 | − | 0.280856i | ||||
\(539\) | 506.287 | − | 7494.63i | 0.0404588 | − | 0.598918i | ||||
\(540\) | −39373.1 | + | 10550.0i | −3.13768 | + | 0.840739i | ||||
\(541\) | 6273.74 | + | 12312.9i | 0.498575 | + | 0.978508i | 0.993950 | + | 0.109829i | \(0.0350304\pi\) |
−0.495376 | + | 0.868679i | \(0.664970\pi\) | |||||||
\(542\) | −1478.71 | − | 14068.9i | −0.117188 | − | 1.11497i | ||||
\(543\) | 16658.6 | + | 1750.89i | 1.31655 | + | 0.138375i | ||||
\(544\) | 5108.12 | − | 267.705i | 0.402590 | − | 0.0210988i | ||||
\(545\) | −5173.56 | − | 15922.6i | −0.406626 | − | 1.25147i | ||||
\(546\) | −7511.33 | + | 6457.04i | −0.588746 | + | 0.506109i | ||||
\(547\) | 8592.88 | + | 11827.1i | 0.671673 | + | 0.924479i | 0.999797 | − | 0.0201562i | \(-0.00641634\pi\) |
−0.328124 | + | 0.944635i | \(0.606416\pi\) | |||||||
\(548\) | −1715.41 | + | 2641.50i | −0.133720 | + | 0.205911i | ||||
\(549\) | 60746.9 | − | 35072.2i | 4.72243 | − | 2.72650i | ||||
\(550\) | −4943.48 | + | 4317.85i | −0.383256 | + | 0.334752i | ||||
\(551\) | 3786.51 | − | 3786.51i | 0.292760 | − | 0.292760i | ||||
\(552\) | 1530.09 | − | 29195.9i | 0.117980 | − | 2.25120i | ||||
\(553\) | −6324.59 | + | 7810.22i | −0.486345 | + | 0.600587i | ||||
\(554\) | 836.100 | + | 5278.93i | 0.0641200 | + | 0.404838i | ||||
\(555\) | −17937.8 | − | 3812.80i | −1.37192 | − | 0.291612i | ||||
\(556\) | 968.136 | − | 1075.22i | 0.0738455 | − | 0.0820137i | ||||
\(557\) | 8794.31 | + | 10860.1i | 0.668989 | + | 0.826133i | 0.992774 | − | 0.119998i | \(-0.0382889\pi\) |
−0.323785 | + | 0.946131i | \(0.604956\pi\) | |||||||
\(558\) | 15929.6 | − | 11573.6i | 1.20852 | − | 0.878043i | ||||
\(559\) | 194.114 | − | 8447.59i | 0.0146872 | − | 0.639168i | ||||
\(560\) | − | 16.7344i | − | 0.00126278i | ||||||
\(561\) | 396.748 | + | 10640.6i | 0.0298587 | + | 0.800795i | ||||
\(562\) | −570.833 | − | 988.711i | −0.0428454 | − | 0.0742104i | ||||
\(563\) | −13696.7 | − | 15211.8i | −1.02531 | − | 1.13872i | −0.990245 | − | 0.139334i | \(-0.955504\pi\) |
−0.0350622 | − | 0.999385i | \(-0.511163\pi\) | |||||||
\(564\) | −1252.03 | + | 7905.00i | −0.0934751 | + | 0.590178i | ||||
\(565\) | 2174.40 | − | 5664.51i | 0.161908 | − | 0.421783i | ||||
\(566\) | −7113.38 | − | 10953.6i | −0.528264 | − | 0.813455i | ||||
\(567\) | −36324.9 | − | 18508.4i | −2.69048 | − | 1.37087i | ||||
\(568\) | 3100.08 | + | 6962.90i | 0.229008 | + | 0.514360i | ||||
\(569\) | −9644.73 | − | 4294.11i | −0.710594 | − | 0.316377i | 0.0194176 | − | 0.999811i | \(-0.493819\pi\) |
−0.730012 | + | 0.683435i | \(0.760485\pi\) | |||||||
\(570\) | −19134.1 | − | 12425.8i | −1.40603 | − | 0.913087i | ||||
\(571\) | −16858.5 | −1.23556 | −0.617781 | − | 0.786350i | \(-0.711968\pi\) | ||||
−0.617781 | + | 0.786350i | \(0.711968\pi\) | |||||||
\(572\) | 120.982 | + | 8463.04i | 0.00884355 | + | 0.618632i | ||||
\(573\) | 35169.3 | 2.56408 | ||||||||
\(574\) | −750.180 | − | 487.172i | −0.0545503 | − | 0.0354254i | ||||
\(575\) | 11771.8 | + | 5241.16i | 0.853773 | + | 0.380124i | ||||
\(576\) | −10239.3 | − | 22997.8i | −0.740689 | − | 1.66361i | ||||
\(577\) | 6053.62 | + | 3084.47i | 0.436769 | + | 0.222545i | 0.658527 | − | 0.752557i | \(-0.271180\pi\) |
−0.221759 | + | 0.975102i | \(0.571180\pi\) | |||||||
\(578\) | 3914.59 | + | 6027.94i | 0.281705 | + | 0.433787i | ||||
\(579\) | 3451.76 | − | 8992.15i | 0.247756 | − | 0.645425i | ||||
\(580\) | −747.853 | + | 4721.76i | −0.0535395 | + | 0.338035i | ||||
\(581\) | −9060.97 | − | 10063.2i | −0.647009 | − | 0.718576i | ||||
\(582\) | 11225.9 | + | 19443.9i | 0.799535 | + | 1.38484i | ||||
\(583\) | −6889.91 | + | 2526.17i | −0.489452 | + | 0.179457i | ||||
\(584\) | 3847.29i | 0.272606i | ||||||||
\(585\) | 38999.5 | + | 40834.0i | 2.75629 | + | 2.88594i | ||||
\(586\) | −366.738 | + | 266.451i | −0.0258529 | + | 0.0187833i | ||||
\(587\) | −12701.2 | − | 15684.7i | −0.893077 | − | 1.10286i | −0.994153 | − | 0.107980i | \(-0.965562\pi\) |
0.101076 | − | 0.994879i | \(-0.467771\pi\) | |||||||
\(588\) | −7046.48 | + | 7825.91i | −0.494204 | + | 0.548869i | ||||
\(589\) | −11571.6 | − | 2459.61i | −0.809504 | − | 0.172065i | ||||
\(590\) | −1042.71 | − | 6583.39i | −0.0727585 | − | 0.459379i | ||||
\(591\) | 3414.12 | − | 4216.09i | 0.237628 | − | 0.293446i | ||||
\(592\) | −0.582176 | + | 11.1086i | −4.04177e−5 | + | 0.000771216i | ||||
\(593\) | −15137.8 | + | 15137.8i | −1.04829 | + | 1.04829i | −0.0495116 | + | 0.998774i | \(0.515766\pi\) |
−0.998774 | + | 0.0495116i | \(0.984234\pi\) | |||||||
\(594\) | 31957.4 | − | 13654.3i | 2.20746 | − | 0.943171i | ||||
\(595\) | −4324.78 | + | 2496.91i | −0.297981 | + | 0.172040i | ||||
\(596\) | 7446.60 | − | 11466.8i | 0.511787 | − | 0.788082i | ||||
\(597\) | −6359.31 | − | 8752.83i | −0.435962 | − | 0.600050i | ||||
\(598\) | −9229.00 | + | 4438.38i | −0.631107 | + | 0.303510i | ||||
\(599\) | 19.1054 | + | 58.8004i | 0.00130322 | + | 0.00401088i | 0.951706 | − | 0.307011i | \(-0.0993288\pi\) |
−0.950403 | + | 0.311022i | \(0.899329\pi\) | |||||||
\(600\) | 24041.5 | − | 1259.96i | 1.63582 | − | 0.0857297i | ||||
\(601\) | −2851.54 | − | 299.708i | −0.193538 | − | 0.0203417i | 0.00726328 | − | 0.999974i | \(-0.497688\pi\) |
−0.200802 | + | 0.979632i | \(0.564355\pi\) | |||||||
\(602\) | −385.364 | − | 3666.50i | −0.0260902 | − | 0.248231i | ||||
\(603\) | 24480.0 | + | 48044.8i | 1.65324 | + | 3.24467i | ||||
\(604\) | 4741.04 | − | 1270.36i | 0.319388 | − | 0.0855797i | ||||
\(605\) | −13113.7 | + | 15230.3i | −0.881237 | + | 1.02347i | ||||
\(606\) | −14085.2 | − | 14085.2i | −0.944180 | − | 0.944180i | ||||
\(607\) | −15670.8 | + | 14110.1i | −1.04787 | + | 0.943509i | −0.998471 | − | 0.0552696i | \(-0.982398\pi\) |
−0.0494019 | + | 0.998779i | \(0.515732\pi\) | |||||||
\(608\) | −6166.66 | + | 13850.5i | −0.411334 | + | 0.923871i | ||||
\(609\) | −6014.67 | + | 4870.58i | −0.400208 | + | 0.324082i | ||||
\(610\) | −22052.8 | + | 7165.39i | −1.46376 | + | 0.475604i | ||||
\(611\) | 6906.16 | − | 2470.54i | 0.457272 | − | 0.163580i | ||||
\(612\) | 6555.60 | − | 9023.01i | 0.432997 | − | 0.595970i | ||||
\(613\) | 2393.43 | + | 6235.10i | 0.157699 | + | 0.410821i | 0.989552 | − | 0.144175i | \(-0.0460529\pi\) |
−0.831853 | + | 0.554996i | \(0.812720\pi\) | |||||||
\(614\) | 5395.52 | − | 1146.85i | 0.354634 | − | 0.0753798i | ||||
\(615\) | −3412.40 | + | 5910.46i | −0.223742 | + | 0.387533i | ||||
\(616\) | 1367.23 | + | 9564.36i | 0.0894275 | + | 0.625583i | ||||
\(617\) | 2526.51 | + | 9429.07i | 0.164852 | + | 0.615235i | 0.998059 | + | 0.0622743i | \(0.0198354\pi\) |
−0.833207 | + | 0.552961i | \(0.813498\pi\) | |||||||
\(618\) | 22765.6 | + | 1193.09i | 1.48182 | + | 0.0776591i | ||||
\(619\) | 23610.7 | + | 3739.57i | 1.53311 | + | 0.242820i | 0.865201 | − | 0.501425i | \(-0.167191\pi\) |
0.667907 | + | 0.744245i | \(0.267191\pi\) | |||||||
\(620\) | 9648.22 | − | 4295.66i | 0.624971 | − | 0.278255i | ||||
\(621\) | −50701.8 | − | 45652.1i | −3.27632 | − | 2.95001i | ||||
\(622\) | 950.421 | + | 18135.1i | 0.0612675 | + | 1.16905i | ||||
\(623\) | −567.165 | − | 412.070i | −0.0364735 | − | 0.0264995i | ||||
\(624\) | 27.7905 | − | 36.4587i | 0.00178287 | − | 0.00233897i | ||||
\(625\) | 5528.39 | − | 17014.6i | 0.353817 | − | 1.08894i | ||||
\(626\) | −1798.36 | + | 6711.58i | −0.114820 | + | 0.428512i | ||||
\(627\) | −28635.2 | − | 13270.5i | −1.82389 | − | 0.845254i | ||||
\(628\) | −8728.87 | − | 5039.62i | −0.554650 | − | 0.320227i | ||||
\(629\) | 2957.73 | − | 1507.04i | 0.187492 | − | 0.0955320i | ||||
\(630\) | 19145.9 | + | 15504.1i | 1.21078 | + | 0.980472i | ||||
\(631\) | −1382.17 | − | 530.564i | −0.0872000 | − | 0.0334729i | 0.314377 | − | 0.949298i | \(-0.398204\pi\) |
−0.401577 | + | 0.915825i | \(0.631538\pi\) | |||||||
\(632\) | −8812.93 | + | 17296.3i | −0.554683 | + | 1.08863i | ||||
\(633\) | −8543.29 | + | 40193.0i | −0.536438 | + | 2.52374i | ||||
\(634\) | −901.158 | + | 8573.94i | −0.0564504 | + | 0.537089i | ||||
\(635\) | 18995.2 | − | 7291.58i | 1.18709 | − | 0.455681i | ||||
\(636\) | 9784.33 | + | 3179.12i | 0.610022 | + | 0.198208i | ||||
\(637\) | 9391.36 | + | 2222.85i | 0.584143 | + | 0.138262i | ||||
\(638\) | 61.5048 | − | 4075.32i | 0.00381661 | − | 0.252889i | ||||
\(639\) | 25969.3 | + | 6958.46i | 1.60772 | + | 0.430786i | ||||
\(640\) | −2818.29 | − | 13259.0i | −0.174066 | − | 0.818918i | ||||
\(641\) | 15627.5 | − | 1642.51i | 0.962945 | − | 0.101210i | 0.390010 | − | 0.920811i | \(-0.372471\pi\) |
0.572935 | + | 0.819601i | \(0.305805\pi\) | |||||||
\(642\) | 6899.48 | − | 1092.77i | 0.424145 | − | 0.0671779i | ||||
\(643\) | 8519.96 | − | 5532.93i | 0.522542 | − | 0.339343i | −0.256265 | − | 0.966607i | \(-0.582492\pi\) |
0.778807 | + | 0.627264i | \(0.215825\pi\) | |||||||
\(644\) | 6080.21 | − | 3948.53i | 0.372040 | − | 0.241606i | ||||
\(645\) | −27782.6 | + | 4400.34i | −1.69603 | + | 0.268625i | ||||
\(646\) | 4107.17 | − | 431.681i | 0.250146 | − | 0.0262914i | ||||
\(647\) | 1646.15 | + | 7744.54i | 0.100026 | + | 0.470586i | 0.999439 | + | 0.0334864i | \(0.0106610\pi\) |
−0.899413 | + | 0.437100i | \(0.856006\pi\) | |||||||
\(648\) | −76064.1 | − | 20381.3i | −4.61123 | − | 1.23558i | ||||
\(649\) | −2716.68 | − | 8811.35i | −0.164313 | − | 0.532936i | ||||
\(650\) | −4429.16 | − | 7176.01i | −0.267271 | − | 0.433025i | ||||
\(651\) | 16261.0 | + | 5283.53i | 0.978987 | + | 0.318092i | ||||
\(652\) | 8745.77 | − | 3357.19i | 0.525323 | − | 0.201653i | ||||
\(653\) | −1741.98 | + | 16573.8i | −0.104393 | + | 0.993236i | 0.809456 | + | 0.587181i | \(0.199762\pi\) |
−0.913849 | + | 0.406055i | \(0.866904\pi\) | |||||||
\(654\) | 4160.41 | − | 19573.2i | 0.248753 | − | 1.17029i | ||||
\(655\) | −7754.64 | + | 15219.3i | −0.462594 | + | 0.907892i | ||||
\(656\) | 3.86483 | + | 1.48357i | 0.000230025 | + | 8.82984e-5i | ||||
\(657\) | 10546.7 | + | 8540.51i | 0.626277 | + | 0.507149i | ||||
\(658\) | 2851.39 | − | 1452.85i | 0.168934 | − | 0.0860762i | ||||
\(659\) | −760.615 | − | 439.141i | −0.0449611 | − | 0.0259583i | 0.477351 | − | 0.878713i | \(-0.341597\pi\) |
−0.522312 | + | 0.852754i | \(0.674930\pi\) | |||||||
\(660\) | 27645.4 | − | 5441.53i | 1.63045 | − | 0.320926i | ||||
\(661\) | 2391.91 | − | 8926.73i | 0.140748 | − | 0.525279i | −0.859160 | − | 0.511707i | \(-0.829013\pi\) |
0.999908 | − | 0.0135717i | \(-0.00432014\pi\) | |||||||
\(662\) | −2390.35 | + | 7356.74i | −0.140338 | + | 0.431915i | ||||
\(663\) | −13568.9 | − | 1742.15i | −0.794827 | − | 0.102050i | ||||
\(664\) | −21160.9 | − | 15374.3i | −1.23675 | − | 0.898552i | ||||
\(665\) | −774.664 | − | 14781.5i | −0.0451732 | − | 0.861957i | ||||
\(666\) | −12170.0 | − | 10958.0i | −0.708077 | − | 0.637556i | ||||
\(667\) | −7309.84 | + | 3254.55i | −0.424345 | + | 0.188931i | ||||
\(668\) | 1459.59 | + | 231.176i | 0.0845408 | + | 0.0133899i | ||||
\(669\) | −36662.2 | − | 1921.38i | −2.11875 | − | 0.111039i | ||||
\(670\) | −4613.45 | − | 17217.6i | −0.266020 | − | 0.992799i | ||||
\(671\) | −28797.0 | + | 14129.6i | −1.65678 | + | 0.812914i | ||||
\(672\) | 10956.2 | − | 18976.7i | 0.628937 | − | 1.08935i | ||||
\(673\) | −15883.1 | + | 3376.06i | −0.909732 | + | 0.193369i | −0.638929 | − | 0.769265i | \(-0.720622\pi\) |
−0.270803 | + | 0.962635i | \(0.587289\pi\) | |||||||
\(674\) | −3709.55 | − | 9663.71i | −0.211998 | − | 0.552273i | ||||
\(675\) | 33022.4 | − | 45451.4i | 1.88301 | − | 2.59174i | ||||
\(676\) | −10751.0 | − | 1632.21i | −0.611686 | − | 0.0928659i | ||||
\(677\) | 19751.4 | − | 6417.62i | 1.12128 | − | 0.364327i | 0.311026 | − | 0.950401i | \(-0.399327\pi\) |
0.810257 | + | 0.586075i | \(0.199327\pi\) | |||||||
\(678\) | 5635.89 | − | 4563.85i | 0.319240 | − | 0.258516i | ||||
\(679\) | −5924.66 | + | 13307.0i | −0.334856 | + | 0.752099i | ||||
\(680\) | −7168.36 | + | 6454.42i | −0.404256 | + | 0.363994i | ||||
\(681\) | −10455.2 | − | 10455.2i | −0.588318 | − | 0.588318i | ||||
\(682\) | −7624.68 | + | 4789.51i | −0.428100 | + | 0.268915i | ||||
\(683\) | −13795.9 | + | 3696.60i | −0.772893 | + | 0.207096i | −0.623649 | − | 0.781705i | \(-0.714351\pi\) |
−0.149244 | + | 0.988800i | \(0.547684\pi\) | |||||||
\(684\) | 15007.9 | + | 29454.7i | 0.838950 | + | 1.64653i | ||||
\(685\) | −1004.39 | − | 9556.17i | −0.0560232 | − | 0.533025i | ||||
\(686\) | 11163.7 | + | 1173.36i | 0.621332 | + | 0.0653046i | ||||
\(687\) | 26174.2 | − | 1371.73i | 1.45358 | − | 0.0761788i | ||||
\(688\) | 5.27260 | + | 16.2274i | 0.000292174 | + | 0.000899220i | ||||
\(689\) | −1747.86 | − | 9264.76i | −0.0966445 | − | 0.512278i | ||||
\(690\) | 20038.2 | + | 27580.2i | 1.10557 | + | 1.52168i | ||||
\(691\) | 9828.41 | − | 15134.4i | 0.541086 | − | 0.833199i | −0.457340 | − | 0.889292i | \(-0.651198\pi\) |
0.998426 | + | 0.0560931i | \(0.0178644\pi\) | |||||||
\(692\) | 2196.75 | − | 1268.29i | 0.120676 | − | 0.0696724i | ||||
\(693\) | 29254.0 | + | 17483.7i | 1.60356 | + | 0.958369i | ||||
\(694\) | −15306.0 | + | 15306.0i | −0.837187 | + | 0.837187i | ||||
\(695\) | −231.012 | + | 4407.98i | −0.0126083 | + | 0.240581i | ||||
\(696\) | −9407.92 | + | 11617.8i | −0.512365 | + | 0.632718i | ||||
\(697\) | −193.257 | − | 1220.18i | −0.0105024 | − | 0.0663092i | ||||
\(698\) | −5952.22 | − | 1265.18i | −0.322772 | − | 0.0686074i | ||||
\(699\) | 33737.9 | − | 37469.7i | 1.82559 | − | 2.02752i | ||||
\(700\) | 3756.98 | + | 4639.48i | 0.202858 | + | 0.250509i | ||||
\(701\) | −14125.7 | + | 10262.9i | −0.761083 | + | 0.552959i | −0.899242 | − | 0.437451i | \(-0.855881\pi\) |
0.138159 | + | 0.990410i | \(0.455881\pi\) | |||||||
\(702\) | 10562.1 | + | 43381.4i | 0.567866 | + | 2.33237i | ||||
\(703\) | 9839.15i | 0.527867i | ||||||||
\(704\) | 3962.89 | + | 10808.4i | 0.212155 | + | 0.578634i | ||||
\(705\) | −12208.5 | − | 21145.7i | −0.652196 | − | 1.12964i | ||||
\(706\) | 9980.39 | + | 11084.3i | 0.532035 | + | 0.590885i | ||||
\(707\) | 2021.66 | − | 12764.3i | 0.107542 | − | 0.678996i | ||||
\(708\) | −4632.47 | + | 12068.0i | −0.245902 | + | 0.640597i | ||||
\(709\) | 6132.05 | + | 9442.53i | 0.324815 | + | 0.500172i | 0.962923 | − | 0.269775i | \(-0.0869494\pi\) |
−0.638108 | + | 0.769947i | \(0.720283\pi\) | |||||||
\(710\) | −7918.85 | − | 4034.86i | −0.418576 | − | 0.213275i | ||||
\(711\) | 27851.2 | + | 62554.8i | 1.46906 | + | 3.29956i | ||||
\(712\) | −1237.07 | − | 550.780i | −0.0651141 | − | 0.0289906i | ||||
\(713\) | 14825.3 | + | 9627.64i | 0.778696 | + | 0.505691i | ||||
\(714\) | −5968.75 | −0.312850 | ||||||||
\(715\) | −16535.1 | − | 19832.7i | −0.864866 | − | 1.03734i | ||||
\(716\) | −1472.85 | −0.0768755 | ||||||||
\(717\) | −24086.2 | − | 15641.7i | −1.25455 | − | 0.814716i | ||||
\(718\) | 14967.0 | + | 6663.75i | 0.777945 | + | 0.346363i | ||||
\(719\) | 6489.62 | + | 14575.9i | 0.336609 | + | 0.756037i | 0.999970 | + | 0.00773697i | \(0.00246278\pi\) |
−0.663361 | + | 0.748300i | \(0.730871\pi\) | |||||||
\(720\) | −101.592 | − | 51.7638i | −0.00525850 | − | 0.00267934i | ||||
\(721\) | 8055.29 | + | 12404.1i | 0.416081 | + | 0.640709i | ||||
\(722\) | −93.5940 | + | 243.821i | −0.00482439 | + | 0.0125680i | ||||
\(723\) | 9919.12 | − | 62626.9i | 0.510230 | − | 3.22146i | ||||
\(724\) | 5368.55 | + | 5962.38i | 0.275581 | + | 0.306064i | ||||
\(725\) | −3294.49 | − | 5706.22i | −0.168764 | − | 0.292309i | ||||
\(726\) | −22675.8 | + | 7927.93i | −1.15920 | + | 0.405280i | ||||
\(727\) | − | 4657.69i | − | 0.237612i | −0.992917 | − | 0.118806i | \(-0.962093\pi\) | ||
0.992917 | − | 0.118806i | \(-0.0379067\pi\) | |||||||
\(728\) | −12409.7 | − | 285.158i | −0.631776 | − | 0.0145174i | ||||
\(729\) | −101619. | + | 73830.2i | −5.16276 | + | 3.75096i | ||||
\(730\) | −2823.24 | − | 3486.42i | −0.143141 | − | 0.176764i | ||||
\(731\) | 3407.04 | − | 3783.90i | 0.172386 | − | 0.191454i | ||||
\(732\) | 43986.1 | + | 9349.54i | 2.22100 | + | 0.472089i | ||||
\(733\) | −1238.01 | − | 7816.51i | −0.0623834 | − | 0.393873i | −0.999047 | − | 0.0436435i | \(-0.986103\pi\) |
0.936664 | − | 0.350230i | \(-0.113897\pi\) | |||||||
\(734\) | 1319.91 | − | 1629.95i | 0.0663742 | − | 0.0819653i | ||||
\(735\) | 1681.40 | − | 32083.0i | 0.0843801 | − | 1.61007i | ||||
\(736\) | 16019.3 | − | 16019.3i | 0.802284 | − | 0.802284i | ||||
\(737\) | −9688.32 | − | 22675.2i | −0.484225 | − | 1.13331i | ||||
\(738\) | −5278.06 | + | 3047.29i | −0.263263 | + | 0.151995i | ||||
\(739\) | −1712.01 | + | 2636.27i | −0.0852198 | + | 0.131227i | −0.878710 | − | 0.477356i | \(-0.841595\pi\) |
0.793490 | + | 0.608583i | \(0.208262\pi\) | |||||||
\(740\) | −5163.05 | − | 7106.32i | −0.256483 | − | 0.353018i | ||||
\(741\) | 22859.6 | − | 33490.4i | 1.13329 | − | 1.66032i | ||||
\(742\) | −1271.16 | − | 3912.23i | −0.0628919 | − | 0.193561i | ||||
\(743\) | −18417.8 | + | 965.237i | −0.909400 | + | 0.0476596i | −0.501296 | − | 0.865276i | \(-0.667143\pi\) |
−0.408104 | + | 0.912936i | \(0.633810\pi\) | |||||||
\(744\) | 32845.0 | + | 3452.15i | 1.61849 | + | 0.170110i | ||||
\(745\) | 4360.07 | + | 41483.3i | 0.214417 | + | 2.04004i | ||||
\(746\) | 3643.82 | + | 7151.41i | 0.178834 | + | 0.350981i | ||||
\(747\) | −89120.4 | + | 23879.7i | −4.36512 | + | 1.16963i | ||||
\(748\) | −3269.12 | + | 3914.74i | −0.159801 | + | 0.191360i | ||||
\(749\) | 3204.64 | + | 3204.64i | 0.156335 | + | 0.156335i | ||||
\(750\) | 4453.61 | − | 4010.05i | 0.216830 | − | 0.195235i | ||||
\(751\) | 54.6734 | − | 122.799i | 0.00265654 | − | 0.00596669i | −0.912212 | − | 0.409718i | \(-0.865627\pi\) |
0.914869 | + | 0.403751i | \(0.132294\pi\) | |||||||
\(752\) | −11.5102 | + | 9.32078i | −0.000558157 | + | 0.000451987i | ||||
\(753\) | −47267.9 | + | 15358.3i | −2.28757 | + | 0.743275i | ||||
\(754\) | 5151.80 | + | 937.759i | 0.248829 | + | 0.0452933i | ||||
\(755\) | −8801.53 | + | 12114.3i | −0.424266 | + | 0.583951i | ||||
\(756\) | −11327.4 | − | 29509.0i | −0.544941 | − | 1.41962i | ||||
\(757\) | −17905.9 | + | 3806.01i | −0.859709 | + | 0.182737i | −0.616614 | − | 0.787266i | \(-0.711496\pi\) |
−0.243095 | + | 0.970003i | \(0.578163\pi\) | |||||||
\(758\) | −8539.89 | + | 14791.5i | −0.409212 | + | 0.708776i | ||||
\(759\) | 32839.9 | + | 33846.3i | 1.57050 | + | 1.61864i | ||||
\(760\) | −7399.84 | − | 27616.6i | −0.353185 | − | 1.31810i | ||||
\(761\) | 12912.3 | + | 676.707i | 0.615074 | + | 0.0322347i | 0.357330 | − | 0.933978i | \(-0.383687\pi\) |
0.257745 | + | 0.966213i | \(0.417021\pi\) | |||||||
\(762\) | 24019.4 | + | 3804.30i | 1.14190 | + | 0.180860i | ||||
\(763\) | 11860.0 | − | 5280.41i | 0.562727 | − | 0.250542i | ||||
\(764\) | 12518.7 | + | 11271.9i | 0.592814 | + | 0.533773i | ||||
\(765\) | 1780.75 | + | 33978.8i | 0.0841611 | + | 1.60589i | ||||
\(766\) | −7510.96 | − | 5457.03i | −0.354285 | − | 0.257403i | ||||
\(767\) | 11740.1 | − | 1583.91i | 0.552684 | − | 0.0745652i | ||||
\(768\) | 13067.4 | − | 40217.3i | 0.613969 | − | 1.88960i | ||||
\(769\) | 679.860 | − | 2537.27i | 0.0318809 | − | 0.118981i | −0.948152 | − | 0.317818i | \(-0.897050\pi\) |
0.980033 | + | 0.198837i | \(0.0637165\pi\) | |||||||
\(770\) | −8257.56 | − | 7663.91i | −0.386470 | − | 0.358686i | ||||
\(771\) | −2305.79 | − | 1331.25i | −0.107705 | − | 0.0621837i | ||||
\(772\) | 4110.69 | − | 2094.50i | 0.191641 | − | 0.0976461i | ||||
\(773\) | 8695.52 | + | 7041.49i | 0.404600 | + | 0.327639i | 0.809925 | − | 0.586534i | \(-0.199508\pi\) |
−0.405324 | + | 0.914173i | \(0.632841\pi\) | |||||||
\(774\) | −23450.8 | − | 9001.94i | −1.08905 | − | 0.418046i | ||||
\(775\) | −6608.42 | + | 12969.8i | −0.306299 | + | 0.601145i | ||||
\(776\) | −5849.81 | + | 27521.2i | −0.270613 | + | 1.27313i | ||||
\(777\) | 1486.44 | − | 14142.5i | 0.0686302 | − | 0.652973i | ||||
\(778\) | 11579.3 | − | 4444.89i | 0.533597 | − | 0.204829i | ||||
\(779\) | 3482.48 | + | 1131.53i | 0.160171 | + | 0.0520426i | ||||
\(780\) | 1063.58 | + | 36183.9i | 0.0488234 | + | 1.66101i | ||||
\(781\) | −11634.1 | − | 3975.24i | −0.533038 | − | 0.182132i | ||||
\(782\) | −5960.68 | − | 1597.16i | −0.272575 | − | 0.0730362i | ||||
\(783\) | 7253.25 | + | 34123.8i | 0.331047 | + | 1.55745i | ||||
\(784\) | −19.3809 | + | 2.03702i | −0.000882877 | + | 9.27941e-5i | ||||
\(785\) | 30370.9 | − | 4810.27i | 1.38087 | − | 0.218708i | ||||
\(786\) | −17122.1 | + | 11119.2i | −0.777002 | + | 0.504591i | ||||
\(787\) | 6428.73 | − | 4174.87i | 0.291181 | − | 0.189095i | −0.390779 | − | 0.920484i | \(-0.627794\pi\) |
0.681960 | + | 0.731389i | \(0.261128\pi\) | |||||||
\(788\) | 2566.55 | − | 406.501i | 0.116027 | − | 0.0183769i | ||||
\(789\) | 37028.5 | − | 3891.85i | 1.67078 | − | 0.175606i | ||||
\(790\) | −4706.24 | − | 22141.1i | −0.211950 | − | 0.997146i | ||||
\(791\) | 4544.66 | + | 1217.74i | 0.204285 | + | 0.0547380i | ||||
\(792\) | 62293.2 | + | 21284.8i | 2.79481 | + | 0.954952i | ||||
\(793\) | −11831.2 | − | 39476.4i | −0.529809 | − | 1.76778i | ||||
\(794\) | −11350.5 | − | 3687.98i | −0.507320 | − | 0.164838i | ||||
\(795\) | −29301.2 | + | 11247.7i | −1.30718 | + | 0.501779i | ||||
\(796\) | 541.686 | − | 5153.80i | 0.0241200 | − | 0.229487i | ||||
\(797\) | 5737.53 | − | 26993.0i | 0.254999 | − | 1.19967i | −0.645138 | − | 0.764066i | \(-0.723200\pi\) |
0.900137 | − | 0.435608i | \(-0.143467\pi\) | |||||||
\(798\) | 8031.74 | − | 15763.2i | 0.356291 | − | 0.699261i | ||||
\(799\) | 4126.26 | + | 1583.92i | 0.182699 | + | 0.0701316i | ||||
\(800\) | 14497.8 | + | 11740.1i | 0.640719 | + | 0.518844i | ||||
\(801\) | −4256.01 | + | 2168.54i | −0.187739 | + | 0.0956576i | ||||
\(802\) | 7569.67 | + | 4370.35i | 0.333285 | + | 0.192422i | ||||
\(803\) | −4548.73 | − | 4221.71i | −0.199902 | − | 0.185530i | ||||
\(804\) | −8947.05 | + | 33390.8i | −0.392460 | + | 1.46468i | ||||
\(805\) | −6834.70 | + | 21035.0i | −0.299244 | + | 0.920978i | ||||
\(806\) | −4461.24 | − | 10673.5i | −0.194963 | − | 0.466449i | ||||
\(807\) | −23724.3 | − | 17236.7i | −1.03486 | − | 0.751873i | ||||
\(808\) | −1306.44 | − | 24928.4i | −0.0568817 | − | 1.08537i | ||||
\(809\) | −980.372 | − | 882.731i | −0.0426057 | − | 0.0383624i | 0.647553 | − | 0.762021i | \(-0.275793\pi\) |
−0.690158 | + | 0.723658i | \(0.742459\pi\) | |||||||
\(810\) | 83885.6 | − | 37348.3i | 3.63881 | − | 1.62010i | ||||
\(811\) | −3032.81 | − | 480.350i | −0.131315 | − | 0.0207982i | 0.0904310 | − | 0.995903i | \(-0.471176\pi\) |
−0.221746 | + | 0.975104i | \(0.571176\pi\) | |||||||
\(812\) | −3701.99 | − | 194.013i | −0.159993 | − | 0.00838489i | ||||
\(813\) | −21662.4 | − | 80845.2i | −0.934482 | − | 3.48753i | ||||
\(814\) | 5214.90 | + | 5374.71i | 0.224548 | + | 0.231430i | ||||
\(815\) | −14289.8 | + | 24750.7i | −0.614171 | + | 1.06378i | ||||
\(816\) | 27.0205 | − | 5.74338i | 0.00115920 | − | 0.000246395i | ||||
\(817\) | 5408.48 | + | 14089.6i | 0.231602 | + | 0.603344i | ||||
\(818\) | −11231.0 | + | 15458.1i | −0.480052 | + | 0.660735i | ||||
\(819\) | −28329.6 | + | 33385.8i | −1.20869 | + | 1.42441i | ||||
\(820\) | −3108.99 | + | 1010.17i | −0.132403 | + | 0.0430204i | ||||
\(821\) | 11579.3 | − | 9376.74i | 0.492230 | − | 0.398600i | −0.350814 | − | 0.936445i | \(-0.614095\pi\) |
0.843043 | + | 0.537845i | \(0.180762\pi\) | |||||||
\(822\) | 4671.24 | − | 10491.8i | 0.198209 | − | 0.445186i | ||||
\(823\) | −3407.99 | + | 3068.57i | −0.144344 | + | 0.129968i | −0.738140 | − | 0.674648i | \(-0.764295\pi\) |
0.593796 | + | 0.804616i | \(0.297629\pi\) | |||||||
\(824\) | 20200.9 | + | 20200.9i | 0.854042 | + | 0.854042i | ||||
\(825\) | −24891.6 | + | 29807.4i | −1.05044 | + | 1.25789i | ||||
\(826\) | 4992.53 | − | 1337.74i | 0.210305 | − | 0.0563511i | ||||
\(827\) | 466.510 | + | 915.578i | 0.0196157 | + | 0.0384979i | 0.900606 | − | 0.434636i | \(-0.143123\pi\) |
−0.880991 | + | 0.473133i | \(0.843123\pi\) | |||||||
\(828\) | −5163.35 | − | 49126.0i | −0.216713 | − | 2.06189i | ||||
\(829\) | 44227.2 | + | 4648.47i | 1.85293 | + | 0.194750i | 0.964467 | − | 0.264205i | \(-0.0851096\pi\) |
0.888459 | + | 0.458955i | \(0.151776\pi\) | |||||||
\(830\) | 30458.1 | − | 1596.24i | 1.27375 | − | 0.0667545i | ||||
\(831\) | 9771.73 | + | 30074.3i | 0.407915 | + | 1.25543i | ||||
\(832\) | −14534.0 | + | 2741.92i | −0.605618 | + | 0.114254i | ||||
\(833\) | 3418.24 | + | 4704.80i | 0.142179 | + | 0.195692i | ||||
\(834\) | −2873.38 | + | 4424.62i | −0.119301 | + | 0.183707i | ||||
\(835\) | −3904.37 | + | 2254.19i | −0.161816 | + | 0.0934245i | ||||
\(836\) | −5939.59 | − | 13901.4i | −0.245724 | − | 0.575108i | ||||
\(837\) | 54496.9 | − | 54496.9i | 2.25052 | − | 2.25052i | ||||
\(838\) | 1015.52 | − | 19377.3i | 0.0418624 | − | 0.798782i | ||||
\(839\) | 132.830 | − | 164.032i | 0.00546581 | − | 0.00674971i | −0.774406 | − | 0.632689i | \(-0.781951\pi\) |
0.779872 | + | 0.625940i | \(0.215284\pi\) | |||||||
\(840\) | 6464.18 | + | 40813.2i | 0.265518 | + | 1.67642i | ||||
\(841\) | −19854.0 | − | 4220.09i | −0.814054 | − | 0.173032i | ||||
\(842\) | 737.620 | − | 819.210i | 0.0301901 | − | 0.0335295i | ||||
\(843\) | −4250.83 | − | 5249.34i | −0.173673 | − | 0.214468i | ||||
\(844\) | −15923.0 | + | 11568.8i | −0.649400 | + | 0.471817i | ||||
\(845\) | 28623.2 | − | 16771.2i | 1.16529 | − | 0.682776i | ||||
\(846\) | − | 21804.4i | − | 0.886114i | ||||||
\(847\) | −12808.4 | − | 8878.66i | −0.519602 | − | 0.360182i | ||||
\(848\) | 9.51904 | + | 16.4875i | 0.000385478 | + | 0.000667667i | ||||
\(849\) | −51706.0 | − | 57425.4i | −2.09016 | − | 2.32136i | ||||
\(850\) | 794.922 | − | 5018.94i | 0.0320772 | − | 0.202527i | ||||
\(851\) | 5268.78 | − | 13725.7i | 0.212235 | − | 0.552890i | ||||
\(852\) | 9387.37 | + | 14455.3i | 0.377472 | + | 0.581255i | ||||
\(853\) | 20015.3 | + | 10198.3i | 0.803412 | + | 0.409359i | 0.806939 | − | 0.590635i | \(-0.201123\pi\) |
−0.00352705 | + | 0.999994i | \(0.501123\pi\) | |||||||
\(854\) | −7313.38 | − | 16426.1i | −0.293043 | − | 0.658185i | ||||
\(855\) | −92132.6 | − | 41020.1i | −3.68523 | − | 1.64077i | ||||
\(856\) | 7341.73 | + | 4767.78i | 0.293149 | + | 0.190373i | ||||
\(857\) | −12828.8 | −0.511346 | −0.255673 | − | 0.966763i | \(-0.582297\pi\) | ||||
−0.255673 | + | 0.966763i | \(0.582297\pi\) | |||||||
\(858\) | −5263.16 | − | 30410.3i | −0.209419 | − | 1.21001i | ||||
\(859\) | −34982.3 | −1.38950 | −0.694749 | − | 0.719252i | \(-0.744485\pi\) | ||||
−0.694749 | + | 0.719252i | \(0.744485\pi\) | |||||||
\(860\) | −11299.7 | − | 7338.11i | −0.448043 | − | 0.290962i | ||||
\(861\) | −4834.68 | − | 2152.54i | −0.191365 | − | 0.0852012i | ||||
\(862\) | 9208.75 | + | 20683.2i | 0.363865 | + | 0.817253i | ||||
\(863\) | −7316.69 | − | 3728.04i | −0.288601 | − | 0.147050i | 0.303696 | − | 0.952769i | \(-0.401779\pi\) |
−0.592298 | + | 0.805719i | \(0.701779\pi\) | |||||||
\(864\) | −53795.3 | − | 82837.5i | −2.11823 | − | 3.26179i | ||||
\(865\) | −2773.25 | + | 7224.56i | −0.109010 | + | 0.283980i | ||||
\(866\) | 1405.04 | − | 8871.06i | 0.0551330 | − | 0.348096i | ||||
\(867\) | 28454.5 | + | 31602.0i | 1.11461 | + | 1.23790i | ||||
\(868\) | 4094.81 | + | 7092.42i | 0.160123 | + | 0.277342i | ||||
\(869\) | −10779.2 | − | 29399.3i | −0.420782 | − | 1.14765i | ||||
\(870\) | − | 17431.8i | − | 0.679304i | ||||||
\(871\) | 30781.0 | − | 7494.28i | 1.19744 | − | 0.291543i | ||||
\(872\) | 20287.3 | − | 14739.6i | 0.787862 | − | 0.572415i | ||||
\(873\) | 62458.5 | + | 77129.8i | 2.42142 | + | 2.99020i | ||||
\(874\) | 12238.9 | − | 13592.7i | 0.473670 | − | 0.526063i | ||||
\(875\) | 3803.13 | + | 808.379i | 0.146936 | + | 0.0312322i | ||||
\(876\) | 1361.01 | + | 8593.11i | 0.0524936 | + | 0.331432i | ||||
\(877\) | −12318.7 | + | 15212.3i | −0.474312 | + | 0.585727i | −0.957008 | − | 0.290061i | \(-0.906324\pi\) |
0.482696 | + | 0.875788i | \(0.339658\pi\) | |||||||
\(878\) | 804.207 | − | 15345.2i | 0.0309119 | − | 0.589835i | ||||
\(879\) | −1896.47 | + | 1896.47i | −0.0727719 | + | 0.0727719i | ||||
\(880\) | 44.7565 | + | 26.7487i | 0.00171448 | + | 0.00102466i | ||||
\(881\) | −9433.23 | + | 5446.28i | −0.360742 | + | 0.208274i | −0.669406 | − | 0.742897i | \(-0.733451\pi\) |
0.308664 | + | 0.951171i | \(0.400118\pi\) | |||||||
\(882\) | 15625.5 | − | 24061.1i | 0.596527 | − | 0.918571i | ||||
\(883\) | 15276.6 | + | 21026.5i | 0.582220 | + | 0.801357i | 0.993937 | − | 0.109955i | \(-0.0350707\pi\) |
−0.411717 | + | 0.911312i | \(0.635071\pi\) | |||||||
\(884\) | −4271.54 | − | 4968.99i | −0.162520 | − | 0.189056i | ||||
\(885\) | −12186.4 | − | 37505.9i | −0.462872 | − | 1.42457i | ||||
\(886\) | 27972.9 | − | 1466.00i | 1.06068 | − | 0.0555881i | ||||
\(887\) | 16975.4 | + | 1784.19i | 0.642591 | + | 0.0675390i | 0.420219 | − | 0.907423i | \(-0.361953\pi\) |
0.222372 | + | 0.974962i | \(0.428620\pi\) | |||||||
\(888\) | −2871.17 | − | 27317.4i | −0.108503 | − | 1.03233i | ||||
\(889\) | 7162.86 | + | 14057.9i | 0.270230 | + | 0.530357i | ||||
\(890\) | 1525.21 | − | 408.679i | 0.0574440 | − | 0.0153921i | ||||
\(891\) | 107564. | − | 67567.2i | 4.04436 | − | 2.54050i | ||||
\(892\) | −12434.3 | − | 12434.3i | −0.466738 | − | 0.466738i | ||||
\(893\) | −9735.49 | + | 8765.87i | −0.364822 | + | 0.328487i | ||||
\(894\) | −20277.8 | + | 45544.8i | −0.758605 | + | 1.70385i | ||||
\(895\) | 3491.96 | − | 2827.74i | 0.130417 | − | 0.105610i | ||||
\(896\) | 9996.77 | − | 3248.15i | 0.372733 | − | 0.121108i | ||||
\(897\) | −49823.1 | + | 34478.1i | −1.85456 | + | 1.28338i | ||||
\(898\) | −14618.3 | + | 20120.4i | −0.543229 | + | 0.747690i | ||||
\(899\) | −3239.25 | − | 8438.53i | −0.120172 | − | 0.313060i | ||||
\(900\) | 39787.0 | − | 8456.99i | 1.47359 | − | 0.313222i | ||||
\(901\) | 2840.65 | − | 4920.14i | 0.105034 | − | 0.181924i | ||||
\(902\) | 2502.06 | − | 1227.66i | 0.0923609 | − | 0.0453178i | ||||
\(903\) | −5645.43 | − | 21069.0i | −0.208049 | − | 0.776449i | ||||
\(904\) | 9075.59 | + | 475.631i | 0.333904 | + | 0.0174992i | ||||
\(905\) | −24175.5 | − | 3829.03i | −0.887980 | − | 0.140642i | ||||
\(906\) | −16350.0 | + | 7279.51i | −0.599552 | + | 0.266938i | ||||
\(907\) | 38274.4 | + | 34462.4i | 1.40119 | + | 1.26164i | 0.923762 | + | 0.382968i | \(0.125098\pi\) |
0.477430 | + | 0.878670i | \(0.341569\pi\) | |||||||
\(908\) | −370.655 | − | 7072.52i | −0.0135469 | − | 0.258491i | ||||
\(909\) | −71236.7 | − | 51756.5i | −2.59931 | − | 1.88851i | ||||
\(910\) | 11454.9 | − | 8848.13i | 0.417281 | − | 0.322321i | ||||
\(911\) | −3676.35 | + | 11314.7i | −0.133703 | + | 0.411494i | −0.995386 | − | 0.0959521i | \(-0.969410\pi\) |
0.861683 | + | 0.507446i | \(0.169410\pi\) | |||||||
\(912\) | −21.1916 | + | 79.0882i | −0.000769435 | + | 0.00287157i | ||||
\(913\) | 41397.6 | − | 8148.42i | 1.50061 | − | 0.295371i | ||||
\(914\) | 14236.5 | + | 8219.45i | 0.515210 | + | 0.297457i | ||||
\(915\) | −122237. | + | 62282.8i | −4.41642 | + | 2.25028i | ||||
\(916\) | 9756.50 | + | 7900.66i | 0.351926 | + | 0.284984i | ||||
\(917\) | −12365.6 | − | 4746.69i | −0.445307 | − | 0.170937i | ||||
\(918\) | −12214.5 | + | 23972.2i | −0.439147 | + | 0.861875i | ||||
\(919\) | 4375.66 | − | 20585.9i | 0.157062 | − | 0.738918i | −0.827158 | − | 0.561969i | \(-0.810044\pi\) |
0.984220 | − | 0.176949i | \(-0.0566227\pi\) | |||||||
\(920\) | −4465.65 | + | 42487.8i | −0.160030 | + | 1.52259i | ||||
\(921\) | 30468.0 | − | 11695.6i | 1.09007 | − | 0.418439i | ||||
\(922\) | 5699.12 | + | 1851.76i | 0.203569 | + | 0.0661436i | ||||
\(923\) | 7492.52 | − | 13905.6i | 0.267193 | − | 0.495893i | ||||
\(924\) | 6437.26 | + | 20878.8i | 0.229189 | + | 0.743357i | ||||
\(925\) | 11694.1 | + | 3133.41i | 0.415674 | + | 0.111379i | ||||
\(926\) | 306.060 | + | 1439.90i | 0.0108615 | + | 0.0510993i | ||||
\(927\) | 100220. | − | 10533.6i | 3.55089 | − | 0.373213i | ||||
\(928\) | −11441.5 | + | 1812.16i | −0.404726 | + | 0.0641024i | ||||
\(929\) | −13424.9 | + | 8718.26i | −0.474121 | + | 0.307898i | −0.759489 | − | 0.650520i | \(-0.774551\pi\) |
0.285368 | + | 0.958418i | \(0.407884\pi\) | |||||||
\(930\) | −32297.4 | + | 20974.2i | −1.13879 | + | 0.739538i | ||||
\(931\) | −17024.9 | + | 2696.47i | −0.599320 | + | 0.0949230i | ||||
\(932\) | 24018.4 | − | 2524.43i | 0.844150 | − | 0.0887238i | ||||
\(933\) | 22338.7 | + | 105095.i | 0.783855 | + | 3.68775i | ||||
\(934\) | −12218.3 | − | 3273.89i | −0.428047 | − | 0.114695i | ||||
\(935\) | 234.800 | − | 15557.9i | 0.00821259 | − | 0.544167i | ||||
\(936\) | −40117.5 | + | 74455.3i | −1.40094 | + | 2.60005i | ||||
\(937\) | 30990.5 | + | 10069.4i | 1.08049 | + | 0.351072i | 0.794564 | − | 0.607181i | \(-0.207700\pi\) |
0.285923 | + | 0.958252i | \(0.407700\pi\) | |||||||
\(938\) | 12904.1 | − | 4953.43i | 0.449184 | − | 0.172426i | ||||
\(939\) | −4297.14 | + | 40884.5i | −0.149342 | + | 1.42089i | ||||
\(940\) | 2431.60 | − | 11439.8i | 0.0843725 | − | 0.396941i | ||||
\(941\) | 10841.1 | − | 21276.8i | 0.375567 | − | 0.737091i | −0.623430 | − | 0.781879i | \(-0.714261\pi\) |
0.998997 | + | 0.0447882i | \(0.0142613\pi\) | |||||||
\(942\) | 34311.4 | + | 13170.9i | 1.18676 | + | 0.455554i | ||||
\(943\) | −4252.15 | − | 3443.33i | −0.146839 | − | 0.118908i | ||||
\(944\) | −21.3139 | + | 10.8600i | −0.000734860 | + | 0.000374430i | ||||
\(945\) | 83510.9 | + | 48215.0i | 2.87472 | + | 1.65972i | ||||
\(946\) | 10422.1 | + | 4829.96i | 0.358194 | + | 0.166000i | ||||
\(947\) | −10056.2 | + | 37530.4i | −0.345073 | + | 1.28783i | 0.547454 | + | 0.836836i | \(0.315597\pi\) |
−0.892527 | + | 0.450994i | \(0.851070\pi\) | |||||||
\(948\) | −13565.3 | + | 41749.9i | −0.464749 | + | 1.43035i | ||||
\(949\) | 6309.99 | − | 4874.04i | 0.215839 | − | 0.166721i | ||||
\(950\) | 12185.1 | + | 8853.00i | 0.416144 | + | 0.302347i | ||||
\(951\) | 2669.50 | + | 50937.1i | 0.0910246 | + | 1.73685i | ||||
\(952\) | −5558.62 | − | 5005.00i | −0.189239 | − | 0.170392i | ||||
\(953\) | 12881.4 | − | 5735.15i | 0.437847 | − | 0.194942i | −0.175962 | − | 0.984397i | \(-0.556303\pi\) |
0.613808 | + | 0.789455i | \(0.289637\pi\) | |||||||
\(954\) | −27682.6 | − | 4384.50i | −0.939474 | − | 0.148798i | ||||
\(955\) | −51321.5 | − | 2689.65i | −1.73898 | − | 0.0911360i | ||||
\(956\) | −3560.37 | − | 13287.5i | −0.120450 | − | 0.449527i | ||||
\(957\) | −3412.46 | − | 23871.6i | −0.115266 | − | 0.806332i | ||||
\(958\) | −13045.5 | + | 22595.5i | −0.439959 | + | 0.762031i | ||||
\(959\) | 7288.21 | − | 1549.16i | 0.245410 | − | 0.0521636i | ||||
\(960\) | 17644.7 | + | 45965.9i | 0.593207 | + | 1.54536i | ||||
\(961\) | 5773.45 | − | 7946.48i | 0.193799 | − | 0.266741i | ||||
\(962\) | −7911.78 | + | 5475.04i | −0.265162 | + | 0.183495i | ||||
\(963\) | 29367.7 | − | 9542.15i | 0.982723 | − | 0.319306i | ||||
\(964\) | 23602.9 | − | 19113.3i | 0.788587 | − | 0.638585i | ||||
\(965\) | −5724.76 | + | 12858.0i | −0.190970 | + | 0.428927i | ||||
\(966\) | −19645.3 | + | 17688.8i | −0.654326 | + | 0.589158i | ||||
\(967\) | 7542.96 | + | 7542.96i | 0.250843 | + | 0.250843i | 0.821316 | − | 0.570473i | \(-0.193240\pi\) |
−0.570473 | + | 0.821316i | \(0.693240\pi\) | |||||||
\(968\) | −27765.5 | − | 11631.2i | −0.921919 | − | 0.386201i | ||||
\(969\) | 23601.3 | − | 6323.95i | 0.782438 | − | 0.209654i | ||||
\(970\) | −14894.7 | − | 29232.4i | −0.493030 | − | 0.967625i | ||||
\(971\) | −1683.11 | − | 16013.7i | −0.0556266 | − | 0.529252i | −0.986483 | − | 0.163866i | \(-0.947604\pi\) |
0.930856 | − | 0.365386i | \(-0.119063\pi\) | |||||||
\(972\) | −104616. | − | 10995.6i | −3.45223 | − | 0.362844i | ||||
\(973\) | −3418.11 | + | 179.136i | −0.112620 | + | 0.00590219i | ||||
\(974\) | 2194.46 | + | 6753.85i | 0.0721920 | + | 0.222184i | ||||
\(975\) | −32524.1 | − | 37834.6i | −1.06831 | − | 1.24275i | ||||
\(976\) | 48.9135 | + | 67.3237i | 0.00160418 | + | 0.00220797i | ||||
\(977\) | 14863.6 | − | 22887.9i | 0.486722 | − | 0.749487i | −0.506929 | − | 0.861988i | \(-0.669219\pi\) |
0.993652 | + | 0.112501i | \(0.0358861\pi\) | |||||||
\(978\) | −29582.6 | + | 17079.5i | −0.967225 | + | 0.558428i | ||||
\(979\) | 2008.66 | − | 858.232i | 0.0655741 | − | 0.0280176i | ||||
\(980\) | 10881.2 | − | 10881.2i | 0.354682 | − | 0.354682i | ||||
\(981\) | 4629.40 | − | 88334.1i | 0.150668 | − | 2.87492i | ||||
\(982\) | −2410.30 | + | 2976.47i | −0.0783256 | + | 0.0967241i | ||||
\(983\) | −9518.11 | − | 60095.0i | −0.308831 | − | 1.94988i | −0.312591 | − | 0.949888i | \(-0.601197\pi\) |
0.00376055 | − | 0.999993i | \(-0.498803\pi\) | |||||||
\(984\) | −9998.95 | − | 2125.34i | −0.323938 | − | 0.0688551i | ||||
\(985\) | −5304.57 | + | 5891.32i | −0.171591 | + | 0.190572i | ||||
\(986\) | 1985.76 | + | 2452.21i | 0.0641375 | + | 0.0792033i | ||||
\(987\) | 15317.8 | − | 11129.0i | 0.493993 | − | 0.358907i | ||||
\(988\) | 18870.8 | − | 4594.50i | 0.607652 | − | 0.147946i | ||||
\(989\) | − | 22551.2i | − | 0.725062i | ||||||
\(990\) | −72069.4 | + | 26424.1i | −2.31365 | + | 0.848295i | ||||
\(991\) | −20472.7 | − | 35459.8i | −0.656243 | − | 1.13665i | −0.981581 | − | 0.191049i | \(-0.938811\pi\) |
0.325337 | − | 0.945598i | \(-0.394522\pi\) | |||||||
\(992\) | 17124.1 | + | 19018.2i | 0.548075 | + | 0.608699i | ||||
\(993\) | −7159.37 | + | 45202.5i | −0.228797 | + | 1.44457i | ||||
\(994\) | 2469.78 | − | 6433.98i | 0.0788094 | − | 0.205305i | ||||
\(995\) | 8610.56 | + | 13259.1i | 0.274345 | + | 0.422454i | ||||
\(996\) | −52702.7 | − | 26853.3i | −1.67665 | − | 0.854298i | ||||
\(997\) | −24228.1 | − | 54417.3i | −0.769621 | − | 1.72860i | −0.680704 | − | 0.732559i | \(-0.738326\pi\) |
−0.0889173 | − | 0.996039i | \(-0.528341\pi\) | |||||||
\(998\) | 6200.16 | + | 2760.49i | 0.196656 | + | 0.0875569i | ||||
\(999\) | −53758.6 | − | 34911.3i | −1.70255 | − | 1.10565i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 143.4.w.a.2.15 | ✓ | 640 | |
11.6 | odd | 10 | inner | 143.4.w.a.28.15 | yes | 640 | |
13.7 | odd | 12 | inner | 143.4.w.a.46.15 | yes | 640 | |
143.72 | even | 60 | inner | 143.4.w.a.72.15 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.4.w.a.2.15 | ✓ | 640 | 1.1 | even | 1 | trivial | |
143.4.w.a.28.15 | yes | 640 | 11.6 | odd | 10 | inner | |
143.4.w.a.46.15 | yes | 640 | 13.7 | odd | 12 | inner | |
143.4.w.a.72.15 | yes | 640 | 143.72 | even | 60 | inner |