Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [98,4,Mod(9,98)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(98, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("98.9");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 98 = 2 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 98.g (of order \(21\), degree \(12\), 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: | \(5.78218718056\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 98.11 |
Dual form | 98.4.g.a.9.4 |
$q$-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 \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.46610 | − | 1.36035i | 0.518346 | − | 0.480955i | ||||
\(3\) | −0.505429 | + | 0.0761811i | −0.0972698 | + | 0.0146611i | −0.197497 | − | 0.980304i | \(-0.563281\pi\) |
0.100227 | + | 0.994965i | \(0.468043\pi\) | |||||||
\(4\) | 0.298920 | − | 3.98882i | 0.0373650 | − | 0.498602i | ||||
\(5\) | −7.88312 | + | 20.0859i | −0.705088 | + | 1.79653i | −0.108325 | + | 0.994115i | \(0.534549\pi\) |
−0.596762 | + | 0.802418i | \(0.703546\pi\) | |||||||
\(6\) | −0.637378 | + | 0.799247i | −0.0433681 | + | 0.0543819i | ||||
\(7\) | −15.6857 | + | 9.84680i | −0.846947 | + | 0.531677i | ||||
\(8\) | −4.98792 | − | 6.25465i | −0.220437 | − | 0.276419i | ||||
\(9\) | −25.5508 | + | 7.88138i | −0.946326 | + | 0.291903i | ||||
\(10\) | 15.7662 | + | 40.1717i | 0.498572 | + | 1.27034i | ||||
\(11\) | 18.2845 | + | 5.64002i | 0.501180 | + | 0.154594i | 0.535030 | − | 0.844833i | \(-0.320300\pi\) |
−0.0338494 | + | 0.999427i | \(0.510777\pi\) | |||||||
\(12\) | 0.152789 | + | 2.03883i | 0.00367554 | + | 0.0490467i | ||||
\(13\) | −5.85564 | − | 25.6552i | −0.124928 | − | 0.547344i | −0.998192 | − | 0.0600983i | \(-0.980859\pi\) |
0.873265 | − | 0.487246i | \(-0.161999\pi\) | |||||||
\(14\) | −9.60179 | + | 35.7744i | −0.183299 | + | 0.682936i | ||||
\(15\) | 2.45419 | − | 10.7525i | 0.0422446 | − | 0.185086i | ||||
\(16\) | −15.8213 | − | 2.38468i | −0.247208 | − | 0.0372606i | ||||
\(17\) | 41.0061 | − | 27.9575i | 0.585026 | − | 0.398864i | −0.234323 | − | 0.972159i | \(-0.575287\pi\) |
0.819349 | + | 0.573295i | \(0.194335\pi\) | |||||||
\(18\) | −26.7387 | + | 46.3129i | −0.350132 | + | 0.606447i | ||||
\(19\) | 80.8866 | + | 140.100i | 0.976666 | + | 1.69163i | 0.674324 | + | 0.738435i | \(0.264435\pi\) |
0.302342 | + | 0.953200i | \(0.402232\pi\) | |||||||
\(20\) | 77.7623 | + | 37.4484i | 0.869409 | + | 0.418686i | ||||
\(21\) | 7.17786 | − | 6.17181i | 0.0745875 | − | 0.0641333i | ||||
\(22\) | 34.4793 | − | 16.6044i | 0.334137 | − | 0.160912i | ||||
\(23\) | −76.3749 | − | 52.0715i | −0.692403 | − | 0.472072i | 0.165283 | − | 0.986246i | \(-0.447146\pi\) |
−0.857686 | + | 0.514174i | \(0.828099\pi\) | |||||||
\(24\) | 2.99752 | + | 2.78130i | 0.0254945 | + | 0.0236554i | ||||
\(25\) | −249.667 | − | 231.657i | −1.99733 | − | 1.85325i | ||||
\(26\) | −43.4849 | − | 29.6475i | −0.328004 | − | 0.223629i | ||||
\(27\) | 24.7477 | − | 11.9179i | 0.176396 | − | 0.0849480i | ||||
\(28\) | 34.5883 | + | 65.5107i | 0.233449 | + | 0.442156i | ||||
\(29\) | 178.626 | + | 86.0216i | 1.14379 | + | 0.550821i | 0.907163 | − | 0.420780i | \(-0.138243\pi\) |
0.236628 | + | 0.971600i | \(0.423958\pi\) | |||||||
\(30\) | −11.0290 | − | 19.1029i | −0.0671206 | − | 0.116256i | ||||
\(31\) | −79.1498 | + | 137.092i | −0.458572 | + | 0.794270i | −0.998886 | − | 0.0471936i | \(-0.984972\pi\) |
0.540314 | + | 0.841464i | \(0.318306\pi\) | |||||||
\(32\) | −26.4396 | + | 18.0262i | −0.146060 | + | 0.0995819i | ||||
\(33\) | −9.67117 | − | 1.45769i | −0.0510162 | − | 0.00768946i | ||||
\(34\) | 22.0874 | − | 96.7711i | 0.111410 | − | 0.488121i | ||||
\(35\) | −74.1292 | − | 392.684i | −0.358004 | − | 1.89645i | ||||
\(36\) | 23.7997 | + | 104.273i | 0.110184 | + | 0.482747i | ||||
\(37\) | 1.62529 | + | 21.6880i | 0.00722152 | + | 0.0963645i | 0.999650 | − | 0.0264606i | \(-0.00842364\pi\) |
−0.992428 | + | 0.122825i | \(0.960805\pi\) | |||||||
\(38\) | 309.172 | + | 95.3669i | 1.31985 | + | 0.407120i | ||||
\(39\) | 4.91405 | + | 12.5208i | 0.0201764 | + | 0.0514085i | ||||
\(40\) | 164.950 | − | 50.8805i | 0.652024 | − | 0.201123i | ||||
\(41\) | 29.0563 | + | 36.4355i | 0.110679 | + | 0.138787i | 0.834085 | − | 0.551636i | \(-0.185996\pi\) |
−0.723406 | + | 0.690423i | \(0.757425\pi\) | |||||||
\(42\) | 2.12769 | − | 18.8129i | 0.00781690 | − | 0.0691164i | ||||
\(43\) | −152.849 | + | 191.666i | −0.542075 | + | 0.679740i | −0.975132 | − | 0.221626i | \(-0.928864\pi\) |
0.433057 | + | 0.901367i | \(0.357435\pi\) | |||||||
\(44\) | 27.9626 | − | 71.2475i | 0.0958073 | − | 0.244113i | ||||
\(45\) | 43.1158 | − | 575.340i | 0.142829 | − | 1.90592i | ||||
\(46\) | −182.809 | + | 27.5540i | −0.585950 | + | 0.0883177i | ||||
\(47\) | 94.7750 | − | 87.9384i | 0.294135 | − | 0.272918i | −0.519276 | − | 0.854607i | \(-0.673798\pi\) |
0.813411 | + | 0.581689i | \(0.197608\pi\) | |||||||
\(48\) | 8.17820 | 0.0245921 | ||||||||
\(49\) | 149.081 | − | 308.907i | 0.434639 | − | 0.900605i | ||||
\(50\) | −681.170 | −1.92664 | ||||||||
\(51\) | −18.5958 | + | 17.2544i | −0.0510576 | + | 0.0473745i | ||||
\(52\) | −104.084 | + | 15.6882i | −0.277575 | + | 0.0418377i | ||||
\(53\) | −24.3773 | + | 325.293i | −0.0631790 | + | 0.843065i | 0.872139 | + | 0.489257i | \(0.162732\pi\) |
−0.935318 | + | 0.353807i | \(0.884887\pi\) | |||||||
\(54\) | 20.0703 | − | 51.1383i | 0.0505782 | − | 0.128871i | ||||
\(55\) | −257.423 | + | 322.799i | −0.631108 | + | 0.791385i | ||||
\(56\) | 139.827 | + | 48.9935i | 0.333664 | + | 0.116911i | ||||
\(57\) | −51.5554 | − | 64.6484i | −0.119801 | − | 0.150226i | ||||
\(58\) | 378.903 | − | 116.876i | 0.857799 | − | 0.264596i | ||||
\(59\) | −196.813 | − | 501.472i | −0.434286 | − | 1.10654i | −0.965753 | − | 0.259464i | \(-0.916454\pi\) |
0.531466 | − | 0.847080i | \(-0.321641\pi\) | |||||||
\(60\) | −42.1562 | − | 13.0035i | −0.0907057 | − | 0.0279790i | ||||
\(61\) | 26.0290 | + | 347.332i | 0.0546339 | + | 0.729038i | 0.955509 | + | 0.294961i | \(0.0953066\pi\) |
−0.900876 | + | 0.434078i | \(0.857074\pi\) | |||||||
\(62\) | 70.4500 | + | 308.662i | 0.144309 | + | 0.632259i | ||||
\(63\) | 323.176 | − | 375.218i | 0.646290 | − | 0.750366i | ||||
\(64\) | −14.2413 | + | 62.3954i | −0.0278151 | + | 0.121866i | ||||
\(65\) | 561.468 | + | 84.6277i | 1.07141 | + | 0.161489i | ||||
\(66\) | −16.1619 | + | 11.0190i | −0.0301423 | + | 0.0205507i | ||||
\(67\) | 137.562 | − | 238.264i | 0.250834 | − | 0.434457i | −0.712922 | − | 0.701244i | \(-0.752629\pi\) |
0.963756 | + | 0.266787i | \(0.0859619\pi\) | |||||||
\(68\) | −99.2597 | − | 171.923i | −0.177015 | − | 0.306599i | ||||
\(69\) | 42.5689 | + | 20.5001i | 0.0742710 | + | 0.0357670i | ||||
\(70\) | −642.867 | − | 474.874i | −1.09768 | − | 0.810833i | ||||
\(71\) | −577.668 | + | 278.190i | −0.965586 | + | 0.465002i | −0.849124 | − | 0.528193i | \(-0.822870\pi\) |
−0.116462 | + | 0.993195i | \(0.537155\pi\) | |||||||
\(72\) | 176.741 | + | 120.500i | 0.289293 | + | 0.197237i | ||||
\(73\) | 655.415 | + | 608.136i | 1.05083 | + | 0.975027i | 0.999720 | − | 0.0236665i | \(-0.00753398\pi\) |
0.0511089 | + | 0.998693i | \(0.483724\pi\) | |||||||
\(74\) | 31.8860 | + | 29.5859i | 0.0500902 | + | 0.0464769i | ||||
\(75\) | 143.837 | + | 98.0661i | 0.221451 | + | 0.150983i | ||||
\(76\) | 583.010 | − | 280.763i | 0.879946 | − | 0.423759i | ||||
\(77\) | −342.341 | + | 91.5761i | −0.506667 | + | 0.135533i | ||||
\(78\) | 24.2371 | + | 11.6720i | 0.0351835 | + | 0.0169435i | ||||
\(79\) | 345.071 | + | 597.680i | 0.491437 | + | 0.851193i | 0.999951 | − | 0.00985995i | \(-0.00313857\pi\) |
−0.508515 | + | 0.861053i | \(0.669805\pi\) | |||||||
\(80\) | 172.619 | − | 298.986i | 0.241243 | − | 0.417845i | ||||
\(81\) | 584.899 | − | 398.778i | 0.802331 | − | 0.547020i | ||||
\(82\) | 92.1644 | + | 13.8916i | 0.124120 | + | 0.0187081i | ||||
\(83\) | −179.268 | + | 785.426i | −0.237075 | + | 1.03870i | 0.706546 | + | 0.707668i | \(0.250253\pi\) |
−0.943621 | + | 0.331028i | \(0.892605\pi\) | |||||||
\(84\) | −22.4726 | − | 30.4760i | −0.0291900 | − | 0.0395858i | ||||
\(85\) | 238.294 | + | 1044.03i | 0.304078 | + | 1.33225i | ||||
\(86\) | 36.6402 | + | 488.930i | 0.0459421 | + | 0.613054i | ||||
\(87\) | −96.8357 | − | 29.8699i | −0.119332 | − | 0.0368090i | ||||
\(88\) | −55.9252 | − | 142.495i | −0.0677460 | − | 0.172614i | ||||
\(89\) | −686.616 | + | 211.793i | −0.817766 | + | 0.252247i | −0.675291 | − | 0.737551i | \(-0.735982\pi\) |
−0.142475 | + | 0.989798i | \(0.545506\pi\) | |||||||
\(90\) | −719.449 | − | 902.160i | −0.842628 | − | 1.05662i | ||||
\(91\) | 344.471 | + | 344.760i | 0.396818 | + | 0.397151i | ||||
\(92\) | −230.534 | + | 289.080i | −0.261248 | + | 0.327594i | ||||
\(93\) | 29.5608 | − | 75.3197i | 0.0329604 | − | 0.0839817i | ||||
\(94\) | 19.3234 | − | 257.854i | 0.0212028 | − | 0.282931i | ||||
\(95\) | −3451.66 | + | 520.254i | −3.72771 | + | 0.561863i | ||||
\(96\) | 11.9901 | − | 11.1252i | 0.0127472 | − | 0.0118277i | ||||
\(97\) | 1709.70 | 1.78963 | 0.894815 | − | 0.446438i | \(-0.147308\pi\) | ||||
0.894815 | + | 0.446438i | \(0.147308\pi\) | |||||||
\(98\) | −201.652 | − | 655.692i | −0.207857 | − | 0.675867i | ||||
\(99\) | −511.635 | −0.519406 | ||||||||
\(100\) | −998.667 | + | 926.627i | −0.998667 | + | 0.926627i | ||||
\(101\) | −177.750 | + | 26.7915i | −0.175117 | + | 0.0263946i | −0.236015 | − | 0.971749i | \(-0.575842\pi\) |
0.0608984 | + | 0.998144i | \(0.480603\pi\) | |||||||
\(102\) | −3.79146 | + | 50.5935i | −0.00368049 | + | 0.0491128i | ||||
\(103\) | −398.427 | + | 1015.17i | −0.381147 | + | 0.971147i | 0.603621 | + | 0.797272i | \(0.293724\pi\) |
−0.984768 | + | 0.173875i | \(0.944371\pi\) | |||||||
\(104\) | −131.257 | + | 164.591i | −0.123758 | + | 0.155187i | ||||
\(105\) | 67.3821 | + | 192.826i | 0.0626269 | + | 0.179218i | ||||
\(106\) | 406.771 | + | 510.075i | 0.372727 | + | 0.467385i | ||||
\(107\) | 855.298 | − | 263.824i | 0.772755 | − | 0.238363i | 0.116792 | − | 0.993156i | \(-0.462739\pi\) |
0.655963 | + | 0.754793i | \(0.272263\pi\) | |||||||
\(108\) | −40.1406 | − | 102.277i | −0.0357642 | − | 0.0911256i | ||||
\(109\) | −63.1739 | − | 19.4866i | −0.0555134 | − | 0.0171236i | 0.266874 | − | 0.963731i | \(-0.414009\pi\) |
−0.322387 | + | 0.946608i | \(0.604485\pi\) | |||||||
\(110\) | 61.7084 | + | 823.441i | 0.0534879 | + | 0.713746i | ||||
\(111\) | −2.47369 | − | 10.8379i | −0.00211524 | − | 0.00926748i | ||||
\(112\) | 271.649 | − | 118.384i | 0.229182 | − | 0.0998769i | ||||
\(113\) | 263.624 | − | 1155.01i | 0.219466 | − | 0.961542i | −0.738408 | − | 0.674354i | \(-0.764422\pi\) |
0.957874 | − | 0.287189i | \(-0.0927206\pi\) | |||||||
\(114\) | −163.530 | − | 24.6481i | −0.134350 | − | 0.0202501i | ||||
\(115\) | 1647.97 | − | 1123.57i | 1.33630 | − | 0.911073i | ||||
\(116\) | 396.519 | − | 686.791i | 0.317378 | − | 0.549715i | ||||
\(117\) | 351.815 | + | 609.361i | 0.277994 | + | 0.481500i | ||||
\(118\) | −970.724 | − | 467.476i | −0.757308 | − | 0.364700i | ||||
\(119\) | −367.917 | + | 842.311i | −0.283419 | + | 0.648862i | ||||
\(120\) | −79.4945 | + | 38.2826i | −0.0604736 | + | 0.0291225i | ||||
\(121\) | −797.211 | − | 543.529i | −0.598956 | − | 0.408362i | ||||
\(122\) | 510.653 | + | 473.817i | 0.378954 | + | 0.351618i | ||||
\(123\) | −17.4616 | − | 16.2020i | −0.0128005 | − | 0.0118771i | ||||
\(124\) | 523.173 | + | 356.694i | 0.378890 | + | 0.258323i | ||||
\(125\) | 4191.10 | − | 2018.33i | 2.99891 | − | 1.44420i | ||||
\(126\) | −36.6178 | − | 989.740i | −0.0258903 | − | 0.699786i | ||||
\(127\) | 431.082 | + | 207.598i | 0.301200 | + | 0.145050i | 0.578379 | − | 0.815768i | \(-0.303685\pi\) |
−0.277179 | + | 0.960818i | \(0.589400\pi\) | |||||||
\(128\) | 64.0000 | + | 110.851i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 62.6528 | − | 108.518i | 0.0427618 | − | 0.0740656i | ||||
\(130\) | 938.293 | − | 639.717i | 0.633029 | − | 0.431592i | ||||
\(131\) | 1033.80 | + | 155.820i | 0.689491 | + | 0.103924i | 0.484436 | − | 0.874827i | \(-0.339025\pi\) |
0.205055 | + | 0.978751i | \(0.434263\pi\) | |||||||
\(132\) | −8.70538 | + | 38.1408i | −0.00574020 | + | 0.0251495i | ||||
\(133\) | −2648.29 | − | 1401.09i | −1.72659 | − | 0.913455i | ||||
\(134\) | −122.442 | − | 536.452i | −0.0789354 | − | 0.345839i | ||||
\(135\) | 44.2915 | + | 591.029i | 0.0282371 | + | 0.376798i | ||||
\(136\) | −379.399 | − | 117.029i | −0.239215 | − | 0.0737880i | ||||
\(137\) | −1061.34 | − | 2704.25i | −0.661872 | − | 1.68642i | −0.725297 | − | 0.688436i | \(-0.758298\pi\) |
0.0634253 | − | 0.997987i | \(-0.479798\pi\) | |||||||
\(138\) | 90.2977 | − | 27.8532i | 0.0557004 | − | 0.0171813i | ||||
\(139\) | −1008.30 | − | 1264.37i | −0.615274 | − | 0.771529i | 0.372397 | − | 0.928074i | \(-0.378536\pi\) |
−0.987671 | + | 0.156544i | \(0.949965\pi\) | |||||||
\(140\) | −1588.50 | + | 178.307i | −0.958949 | + | 0.107640i | ||||
\(141\) | −41.2028 | + | 51.6666i | −0.0246092 | + | 0.0308590i | ||||
\(142\) | −468.487 | + | 1193.68i | −0.276863 | + | 0.705435i | ||||
\(143\) | 37.6286 | − | 502.119i | 0.0220046 | − | 0.293631i | ||||
\(144\) | 423.041 | − | 63.7632i | 0.244816 | − | 0.0369000i | ||||
\(145\) | −3135.94 | + | 2909.73i | −1.79604 | + | 1.66648i | ||||
\(146\) | 1788.18 | 1.01364 | ||||||||
\(147\) | −51.8170 | + | 167.488i | −0.0290735 | + | 0.0939739i | ||||
\(148\) | 86.9953 | 0.0483174 | ||||||||
\(149\) | 2301.73 | − | 2135.69i | 1.26554 | − | 1.17425i | 0.289373 | − | 0.957217i | \(-0.406553\pi\) |
0.976165 | − | 0.217030i | \(-0.0696371\pi\) | |||||||
\(150\) | 344.283 | − | 51.8923i | 0.187404 | − | 0.0282466i | ||||
\(151\) | −191.803 | + | 2559.43i | −0.103369 | + | 1.37936i | 0.668564 | + | 0.743655i | \(0.266909\pi\) |
−0.771932 | + | 0.635705i | \(0.780710\pi\) | |||||||
\(152\) | 472.819 | − | 1204.72i | 0.252307 | − | 0.642868i | ||||
\(153\) | −827.396 | + | 1037.52i | −0.437196 | + | 0.548226i | ||||
\(154\) | −377.332 | + | 599.962i | −0.197443 | + | 0.313937i | ||||
\(155\) | −2129.65 | − | 2670.50i | −1.10360 | − | 1.38387i | ||||
\(156\) | 51.4121 | − | 15.8585i | 0.0263863 | − | 0.00813909i | ||||
\(157\) | −458.237 | − | 1167.57i | −0.232938 | − | 0.593517i | 0.765835 | − | 0.643037i | \(-0.222326\pi\) |
−0.998773 | + | 0.0495201i | \(0.984231\pi\) | |||||||
\(158\) | 1318.96 | + | 406.846i | 0.664120 | + | 0.204854i | ||||
\(159\) | −12.4602 | − | 166.270i | −0.00621482 | − | 0.0829310i | ||||
\(160\) | −153.646 | − | 673.166i | −0.0759172 | − | 0.332615i | ||||
\(161\) | 1710.73 | + | 64.7294i | 0.837419 | + | 0.0316857i | ||||
\(162\) | 315.048 | − | 1380.31i | 0.152793 | − | 0.669431i | ||||
\(163\) | 731.224 | + | 110.214i | 0.351374 | + | 0.0529611i | 0.322358 | − | 0.946618i | \(-0.395525\pi\) |
0.0290159 | + | 0.999579i | \(0.490763\pi\) | |||||||
\(164\) | 154.020 | − | 105.009i | 0.0733350 | − | 0.0499989i | ||||
\(165\) | 105.518 | − | 182.763i | 0.0497853 | − | 0.0862306i | ||||
\(166\) | 805.625 | + | 1395.38i | 0.376678 | + | 0.652426i | ||||
\(167\) | 1239.43 | + | 596.879i | 0.574312 | + | 0.276574i | 0.698412 | − | 0.715696i | \(-0.253890\pi\) |
−0.124100 | + | 0.992270i | \(0.539604\pi\) | |||||||
\(168\) | −74.4051 | − | 14.1105i | −0.0341695 | − | 0.00648006i | ||||
\(169\) | 1355.53 | − | 652.787i | 0.616990 | − | 0.297127i | ||||
\(170\) | 1769.61 | + | 1206.50i | 0.798371 | + | 0.544320i | ||||
\(171\) | −3170.90 | − | 2942.16i | −1.41804 | − | 1.31575i | ||||
\(172\) | 718.832 | + | 666.979i | 0.318665 | + | 0.295678i | ||||
\(173\) | −1969.10 | − | 1342.51i | −0.865365 | − | 0.589996i | 0.0472192 | − | 0.998885i | \(-0.484964\pi\) |
−0.912584 | + | 0.408889i | \(0.865916\pi\) | |||||||
\(174\) | −182.605 | + | 87.9377i | −0.0795587 | + | 0.0383135i | ||||
\(175\) | 6197.27 | + | 1175.28i | 2.67697 | + | 0.507673i | ||||
\(176\) | −275.835 | − | 132.835i | −0.118135 | − | 0.0568910i | ||||
\(177\) | 137.678 | + | 238.465i | 0.0584661 | + | 0.101266i | ||||
\(178\) | −718.539 | + | 1244.55i | −0.302566 | + | 0.524060i | ||||
\(179\) | −1268.71 | + | 864.994i | −0.529765 | + | 0.361188i | −0.798470 | − | 0.602035i | \(-0.794357\pi\) |
0.268704 | + | 0.963223i | \(0.413405\pi\) | |||||||
\(180\) | −2282.04 | − | 343.962i | −0.944961 | − | 0.142430i | ||||
\(181\) | −543.150 | + | 2379.70i | −0.223050 | + | 0.977245i | 0.732117 | + | 0.681178i | \(0.238532\pi\) |
−0.955167 | + | 0.296067i | \(0.904325\pi\) | |||||||
\(182\) | 974.024 | + | 36.8544i | 0.396700 | + | 0.0150101i | ||||
\(183\) | −39.6159 | − | 173.569i | −0.0160027 | − | 0.0701124i | ||||
\(184\) | 55.2625 | + | 737.427i | 0.0221413 | + | 0.295456i | ||||
\(185\) | −448.435 | − | 138.324i | −0.178214 | − | 0.0549717i | ||||
\(186\) | −59.1216 | − | 150.639i | −0.0233065 | − | 0.0593840i | ||||
\(187\) | 907.457 | − | 279.913i | 0.354865 | − | 0.109461i | ||||
\(188\) | −322.440 | − | 404.327i | −0.125087 | − | 0.156854i | ||||
\(189\) | −270.832 | + | 430.626i | −0.104234 | + | 0.165732i | ||||
\(190\) | −4352.77 | + | 5458.20i | −1.66202 | + | 2.08410i | ||||
\(191\) | −884.071 | + | 2252.58i | −0.334917 | + | 0.853354i | 0.659870 | + | 0.751380i | \(0.270611\pi\) |
−0.994787 | + | 0.101975i | \(0.967484\pi\) | |||||||
\(192\) | 2.44463 | − | 32.6213i | 0.000918886 | − | 0.0122617i | ||||
\(193\) | 658.645 | − | 99.2747i | 0.245649 | − | 0.0370256i | −0.0250635 | − | 0.999686i | \(-0.507979\pi\) |
0.270713 | + | 0.962660i | \(0.412741\pi\) | |||||||
\(194\) | 2506.60 | − | 2325.79i | 0.927647 | − | 0.860731i | ||||
\(195\) | −290.229 | −0.106583 | ||||||||
\(196\) | −1187.61 | − | 686.996i | −0.432803 | − | 0.250363i | ||||
\(197\) | −1471.11 | −0.532044 | −0.266022 | − | 0.963967i | \(-0.585709\pi\) | ||||
−0.266022 | + | 0.963967i | \(0.585709\pi\) | |||||||
\(198\) | −750.110 | + | 696.000i | −0.269232 | + | 0.249811i | ||||
\(199\) | −3795.38 | + | 572.062i | −1.35200 | + | 0.203781i | −0.784773 | − | 0.619783i | \(-0.787221\pi\) |
−0.567224 | + | 0.823564i | \(0.691983\pi\) | |||||||
\(200\) | −203.616 | + | 2717.06i | −0.0719890 | + | 0.960627i | ||||
\(201\) | −51.3765 | + | 130.905i | −0.0180290 | + | 0.0459370i | ||||
\(202\) | −224.155 | + | 281.081i | −0.0780765 | + | 0.0979049i | ||||
\(203\) | −3648.90 | + | 409.583i | −1.26159 | + | 0.141611i | ||||
\(204\) | 63.2660 | + | 79.3330i | 0.0217133 | + | 0.0272276i | ||||
\(205\) | −960.892 | + | 296.396i | −0.327374 | + | 0.100981i | ||||
\(206\) | 796.854 | + | 2030.35i | 0.269512 | + | 0.686705i | ||||
\(207\) | 2361.84 | + | 728.530i | 0.793039 | + | 0.244620i | ||||
\(208\) | 31.4644 | + | 419.863i | 0.0104888 | + | 0.139963i | ||||
\(209\) | 688.805 | + | 3017.85i | 0.227970 | + | 0.998800i | ||||
\(210\) | 361.100 | + | 191.041i | 0.118658 | + | 0.0627764i | ||||
\(211\) | −197.682 | + | 866.102i | −0.0644976 | + | 0.282583i | −0.996884 | − | 0.0788804i | \(-0.974865\pi\) |
0.932386 | + | 0.361463i | \(0.117723\pi\) | |||||||
\(212\) | 1290.25 | + | 194.473i | 0.417993 | + | 0.0630023i | ||||
\(213\) | 270.777 | − | 184.613i | 0.0871050 | − | 0.0593872i | ||||
\(214\) | 895.063 | − | 1550.29i | 0.285912 | − | 0.495215i | ||||
\(215\) | −2644.86 | − | 4581.03i | −0.838966 | − | 1.45313i | ||||
\(216\) | −197.982 | − | 95.3430i | −0.0623655 | − | 0.0300337i | ||||
\(217\) | −108.393 | − | 2929.75i | −0.0339088 | − | 0.916517i | ||||
\(218\) | −119.128 | + | 57.3690i | −0.0370108 | + | 0.0178235i | ||||
\(219\) | −377.594 | − | 257.439i | −0.116509 | − | 0.0794344i | ||||
\(220\) | 1210.64 | + | 1123.31i | 0.371005 | + | 0.344242i | ||||
\(221\) | −957.372 | − | 888.312i | −0.291402 | − | 0.270382i | ||||
\(222\) | −18.3700 | − | 12.5245i | −0.00555367 | − | 0.00378643i | ||||
\(223\) | −4196.21 | + | 2020.79i | −1.26009 | + | 0.606825i | −0.940197 | − | 0.340630i | \(-0.889360\pi\) |
−0.319888 | + | 0.947455i | \(0.603645\pi\) | |||||||
\(224\) | 237.223 | − | 543.100i | 0.0707595 | − | 0.161997i | ||||
\(225\) | 8204.96 | + | 3951.30i | 2.43110 | + | 1.17076i | ||||
\(226\) | −1184.71 | − | 2051.99i | −0.348699 | − | 0.603965i | ||||
\(227\) | 777.379 | − | 1346.46i | 0.227297 | − | 0.393690i | −0.729709 | − | 0.683758i | \(-0.760344\pi\) |
0.957006 | + | 0.290068i | \(0.0936778\pi\) | |||||||
\(228\) | −273.281 | + | 186.320i | −0.0793794 | + | 0.0541199i | ||||
\(229\) | 4101.74 | + | 618.238i | 1.18363 | + | 0.178403i | 0.711215 | − | 0.702974i | \(-0.248145\pi\) |
0.472413 | + | 0.881378i | \(0.343383\pi\) | |||||||
\(230\) | 887.658 | − | 3889.08i | 0.254480 | − | 1.11495i | ||||
\(231\) | 166.053 | − | 72.3651i | 0.0472963 | − | 0.0206116i | ||||
\(232\) | −352.935 | − | 1546.31i | −0.0998764 | − | 0.437587i | ||||
\(233\) | −93.7301 | − | 1250.74i | −0.0263539 | − | 0.351669i | −0.994756 | − | 0.102275i | \(-0.967388\pi\) |
0.968402 | − | 0.249394i | \(-0.0802313\pi\) | |||||||
\(234\) | 1344.74 | + | 414.797i | 0.375677 | + | 0.115881i | ||||
\(235\) | 1019.19 | + | 2596.87i | 0.282915 | + | 0.720855i | ||||
\(236\) | −2059.11 | + | 635.151i | −0.567952 | + | 0.175190i | ||||
\(237\) | −219.941 | − | 275.797i | −0.0602814 | − | 0.0755904i | ||||
\(238\) | 606.429 | + | 1735.41i | 0.165164 | + | 0.472647i | ||||
\(239\) | 1157.82 | − | 1451.86i | 0.313360 | − | 0.392941i | −0.600063 | − | 0.799953i | \(-0.704858\pi\) |
0.913423 | + | 0.407012i | \(0.133429\pi\) | |||||||
\(240\) | −64.4698 | + | 164.266i | −0.0173396 | + | 0.0441806i | ||||
\(241\) | −266.345 | + | 3554.13i | −0.0711901 | + | 0.949965i | 0.841221 | + | 0.540691i | \(0.181837\pi\) |
−0.912411 | + | 0.409274i | \(0.865782\pi\) | |||||||
\(242\) | −1908.18 | + | 287.612i | −0.506870 | + | 0.0763984i | ||||
\(243\) | −808.901 | + | 750.551i | −0.213543 | + | 0.198139i | ||||
\(244\) | 1393.22 | 0.365541 | ||||||||
\(245\) | 5029.44 | + | 5429.58i | 1.31151 | + | 1.41585i | ||||
\(246\) | −47.6408 | −0.0123474 | ||||||||
\(247\) | 3120.65 | − | 2895.54i | 0.803894 | − | 0.745905i | ||||
\(248\) | 1252.25 | − | 188.747i | 0.320638 | − | 0.0483284i | ||||
\(249\) | 30.7728 | − | 410.634i | 0.00783190 | − | 0.104509i | ||||
\(250\) | 3398.97 | − | 8660.43i | 0.859878 | − | 2.19093i | ||||
\(251\) | −2710.98 | + | 3399.46i | −0.681735 | + | 0.854869i | −0.995513 | − | 0.0946277i | \(-0.969834\pi\) |
0.313778 | + | 0.949496i | \(0.398405\pi\) | |||||||
\(252\) | −1400.07 | − | 1401.25i | −0.349985 | − | 0.350279i | ||||
\(253\) | −1102.79 | − | 1382.86i | −0.274039 | − | 0.343634i | ||||
\(254\) | 914.417 | − | 282.060i | 0.225888 | − | 0.0696773i | ||||
\(255\) | −199.977 | − | 509.532i | −0.0491099 | − | 0.125130i | ||||
\(256\) | 244.627 | + | 75.4573i | 0.0597233 | + | 0.0184222i | ||||
\(257\) | 362.973 | + | 4843.53i | 0.0880996 | + | 1.17561i | 0.849594 | + | 0.527437i | \(0.176847\pi\) |
−0.761495 | + | 0.648171i | \(0.775534\pi\) | |||||||
\(258\) | −55.7663 | − | 244.328i | −0.0134568 | − | 0.0589581i | ||||
\(259\) | −239.051 | − | 324.187i | −0.0573510 | − | 0.0777761i | ||||
\(260\) | 505.398 | − | 2214.29i | 0.120552 | − | 0.528172i | ||||
\(261\) | −5242.00 | − | 790.104i | −1.24319 | − | 0.187380i | ||||
\(262\) | 1727.62 | − | 1177.87i | 0.407378 | − | 0.277745i | ||||
\(263\) | 2932.30 | − | 5078.89i | 0.687503 | − | 1.19079i | −0.285141 | − | 0.958486i | \(-0.592040\pi\) |
0.972643 | − | 0.232304i | \(-0.0746264\pi\) | |||||||
\(264\) | 39.1216 | + | 67.7607i | 0.00912034 | + | 0.0157969i | ||||
\(265\) | −6341.62 | − | 3053.96i | −1.47005 | − | 0.707938i | ||||
\(266\) | −5788.63 | + | 1548.46i | −1.33430 | + | 0.356925i | ||||
\(267\) | 330.901 | − | 159.353i | 0.0758457 | − | 0.0365254i | ||||
\(268\) | −909.272 | − | 619.931i | −0.207249 | − | 0.141300i | ||||
\(269\) | 2277.43 | + | 2113.14i | 0.516197 | + | 0.478961i | 0.894718 | − | 0.446632i | \(-0.147377\pi\) |
−0.378521 | + | 0.925593i | \(0.623567\pi\) | |||||||
\(270\) | 868.940 | + | 806.258i | 0.195859 | + | 0.181731i | ||||
\(271\) | 3787.10 | + | 2582.00i | 0.848893 | + | 0.578765i | 0.907755 | − | 0.419501i | \(-0.137795\pi\) |
−0.0588621 | + | 0.998266i | \(0.518747\pi\) | |||||||
\(272\) | −715.439 | + | 344.537i | −0.159485 | + | 0.0768038i | ||||
\(273\) | −200.370 | − | 148.010i | −0.0444210 | − | 0.0328130i | ||||
\(274\) | −5234.75 | − | 2520.92i | −1.15417 | − | 0.555820i | ||||
\(275\) | −3258.48 | − | 5643.85i | −0.714522 | − | 1.23759i | ||||
\(276\) | 94.4959 | − | 163.672i | 0.0206086 | − | 0.0356952i | ||||
\(277\) | 2356.05 | − | 1606.33i | 0.511052 | − | 0.348430i | −0.280178 | − | 0.959948i | \(-0.590393\pi\) |
0.791230 | + | 0.611519i | \(0.209441\pi\) | |||||||
\(278\) | −3198.26 | − | 482.060i | −0.689995 | − | 0.104000i | ||||
\(279\) | 941.872 | − | 4126.61i | 0.202109 | − | 0.885497i | ||||
\(280\) | −2086.35 | + | 2422.33i | −0.445297 | + | 0.517006i | ||||
\(281\) | −812.296 | − | 3558.90i | −0.172447 | − | 0.755539i | −0.984986 | − | 0.172633i | \(-0.944773\pi\) |
0.812540 | − | 0.582906i | \(-0.198084\pi\) | |||||||
\(282\) | 9.87694 | + | 131.799i | 0.00208569 | + | 0.0278315i | ||||
\(283\) | 651.815 | + | 201.058i | 0.136913 | + | 0.0422321i | 0.362454 | − | 0.932002i | \(-0.381939\pi\) |
−0.225541 | + | 0.974234i | \(0.572415\pi\) | |||||||
\(284\) | 936.973 | + | 2387.37i | 0.195772 | + | 0.498818i | ||||
\(285\) | 1704.93 | − | 525.903i | 0.354357 | − | 0.109305i | ||||
\(286\) | −627.887 | − | 787.346i | −0.129817 | − | 0.162786i | ||||
\(287\) | −814.541 | − | 285.404i | −0.167529 | − | 0.0586998i | ||||
\(288\) | 533.483 | − | 668.966i | 0.109152 | − | 0.136872i | ||||
\(289\) | −895.041 | + | 2280.53i | −0.182178 | + | 0.464182i | ||||
\(290\) | −639.380 | + | 8531.93i | −0.129468 | + | 1.72763i | ||||
\(291\) | −864.133 | + | 130.247i | −0.174077 | + | 0.0262379i | ||||
\(292\) | 2621.66 | − | 2432.54i | 0.525414 | − | 0.487513i | ||||
\(293\) | 168.613 | 0.0336194 | 0.0168097 | − | 0.999859i | \(-0.494649\pi\) | ||||
0.0168097 | + | 0.999859i | \(0.494649\pi\) | |||||||
\(294\) | 151.872 | + | 316.044i | 0.0301271 | + | 0.0626940i | ||||
\(295\) | 11624.0 | 2.29415 | ||||||||
\(296\) | 127.544 | − | 118.344i | 0.0250451 | − | 0.0232385i | ||||
\(297\) | 519.717 | − | 78.3347i | 0.101539 | − | 0.0153045i | ||||
\(298\) | 469.294 | − | 6262.30i | 0.0912265 | − | 1.21733i | ||||
\(299\) | −888.683 | + | 2264.33i | −0.171886 | + | 0.437958i | ||||
\(300\) | 434.163 | − | 544.424i | 0.0835548 | − | 0.104774i | ||||
\(301\) | 510.239 | − | 4511.49i | 0.0977065 | − | 0.863913i | ||||
\(302\) | 3200.50 | + | 4013.31i | 0.609829 | + | 0.764701i | ||||
\(303\) | 87.7991 | − | 27.0824i | 0.0166466 | − | 0.00513480i | ||||
\(304\) | −945.638 | − | 2409.45i | −0.178408 | − | 0.454576i | ||||
\(305\) | −7181.66 | − | 2215.25i | −1.34826 | − | 0.415884i | ||||
\(306\) | 198.340 | + | 2646.66i | 0.0370533 | + | 0.494442i | ||||
\(307\) | −28.1794 | − | 123.462i | −0.00523870 | − | 0.0229523i | 0.972241 | − | 0.233982i | \(-0.0751756\pi\) |
−0.977480 | + | 0.211029i | \(0.932318\pi\) | |||||||
\(308\) | 262.947 | + | 1392.91i | 0.0486455 | + | 0.257689i | ||||
\(309\) | 124.039 | − | 543.451i | 0.0228361 | − | 0.100051i | ||||
\(310\) | −6755.10 | − | 1018.17i | −1.23763 | − | 0.186542i | ||||
\(311\) | 494.042 | − | 336.832i | 0.0900789 | − | 0.0614148i | −0.517443 | − | 0.855718i | \(-0.673116\pi\) |
0.607522 | + | 0.794303i | \(0.292164\pi\) | |||||||
\(312\) | 53.8023 | − | 93.1884i | 0.00976269 | − | 0.0169095i | ||||
\(313\) | −3496.07 | − | 6055.37i | −0.631341 | − | 1.09351i | −0.987278 | − | 0.159004i | \(-0.949172\pi\) |
0.355937 | − | 0.934510i | \(-0.384162\pi\) | |||||||
\(314\) | −2260.12 | − | 1088.42i | −0.406198 | − | 0.195614i | ||||
\(315\) | 4988.95 | + | 9449.15i | 0.892367 | + | 1.69016i | ||||
\(316\) | 2487.18 | − | 1197.76i | 0.442769 | − | 0.213226i | ||||
\(317\) | −6610.77 | − | 4507.15i | −1.17129 | − | 0.798570i | −0.188276 | − | 0.982116i | \(-0.560290\pi\) |
−0.983011 | + | 0.183547i | \(0.941242\pi\) | |||||||
\(318\) | −244.452 | − | 226.818i | −0.0431075 | − | 0.0399979i | ||||
\(319\) | 2780.91 | + | 2580.31i | 0.488092 | + | 0.452883i | ||||
\(320\) | −1141.00 | − | 777.920i | −0.199324 | − | 0.135897i | ||||
\(321\) | −412.194 | + | 198.502i | −0.0716711 | + | 0.0345150i | ||||
\(322\) | 2596.16 | − | 2232.28i | 0.449312 | − | 0.386336i | ||||
\(323\) | 7233.68 | + | 3483.56i | 1.24611 | + | 0.600094i | ||||
\(324\) | −1415.81 | − | 2452.26i | −0.242766 | − | 0.420483i | ||||
\(325\) | −4481.25 | + | 7761.75i | −0.764846 | + | 1.32475i | ||||
\(326\) | 1221.98 | − | 833.132i | 0.207605 | − | 0.141543i | ||||
\(327\) | 33.4144 | + | 5.03641i | 0.00565083 | + | 0.000851725i | ||||
\(328\) | 82.9607 | − | 363.474i | 0.0139657 | − | 0.0611876i | ||||
\(329\) | −620.700 | + | 2312.60i | −0.104013 | + | 0.387532i | ||||
\(330\) | −93.9199 | − | 411.490i | −0.0156670 | − | 0.0686417i | ||||
\(331\) | −228.084 | − | 3043.58i | −0.0378751 | − | 0.505408i | −0.983591 | − | 0.180413i | \(-0.942256\pi\) |
0.945716 | − | 0.324995i | \(-0.105363\pi\) | |||||||
\(332\) | 3079.33 | + | 949.848i | 0.509037 | + | 0.157017i | ||||
\(333\) | −212.459 | − | 541.337i | −0.0349630 | − | 0.0890843i | ||||
\(334\) | 2629.10 | − | 810.969i | 0.430712 | − | 0.132857i | ||||
\(335\) | 3701.33 | + | 4641.32i | 0.603657 | + | 0.756962i | ||||
\(336\) | −128.281 | + | 80.5291i | −0.0208282 | + | 0.0130751i | ||||
\(337\) | 3334.52 | − | 4181.36i | 0.539000 | − | 0.675884i | −0.435522 | − | 0.900178i | \(-0.643436\pi\) |
0.974522 | + | 0.224294i | \(0.0720076\pi\) | |||||||
\(338\) | 1099.33 | − | 2801.04i | 0.176910 | − | 0.450759i | ||||
\(339\) | −45.2530 | + | 603.859i | −0.00725016 | + | 0.0967467i | ||||
\(340\) | 4235.69 | − | 638.428i | 0.675626 | − | 0.101834i | ||||
\(341\) | −2220.41 | + | 2060.24i | −0.352616 | + | 0.327180i | ||||
\(342\) | −8651.22 | −1.36785 | ||||||||
\(343\) | 703.307 | + | 6313.40i | 0.110714 | + | 0.993852i | ||||
\(344\) | 1961.20 | 0.307387 | ||||||||
\(345\) | −747.339 | + | 693.429i | −0.116624 | + | 0.108211i | ||||
\(346\) | −4713.19 | + | 710.399i | −0.732320 | + | 0.110379i | ||||
\(347\) | 40.1378 | − | 535.601i | 0.00620953 | − | 0.0828605i | −0.993238 | − | 0.116096i | \(-0.962962\pi\) |
0.999448 | + | 0.0332353i | \(0.0105811\pi\) | |||||||
\(348\) | −148.092 | + | 377.331i | −0.0228119 | + | 0.0581238i | ||||
\(349\) | −3248.55 | + | 4073.55i | −0.498255 | + | 0.624791i | −0.965835 | − | 0.259159i | \(-0.916555\pi\) |
0.467580 | + | 0.883951i | \(0.345126\pi\) | |||||||
\(350\) | 10684.6 | − | 6707.35i | 1.63176 | − | 1.02435i | ||||
\(351\) | −450.669 | − | 565.122i | −0.0685326 | − | 0.0859372i | ||||
\(352\) | −585.104 | + | 180.481i | −0.0885970 | + | 0.0273285i | ||||
\(353\) | −713.470 | − | 1817.89i | −0.107576 | − | 0.274098i | 0.866942 | − | 0.498409i | \(-0.166082\pi\) |
−0.974518 | + | 0.224311i | \(0.927987\pi\) | |||||||
\(354\) | 526.245 | + | 162.325i | 0.0790101 | + | 0.0243714i | ||||
\(355\) | −1033.86 | − | 13796.0i | −0.154569 | − | 2.06257i | ||||
\(356\) | 639.560 | + | 2802.09i | 0.0952152 | + | 0.417165i | ||||
\(357\) | 121.788 | − | 453.757i | 0.0180551 | − | 0.0672699i | ||||
\(358\) | −683.374 | + | 2994.06i | −0.100887 | + | 0.442014i | ||||
\(359\) | 4356.82 | + | 656.684i | 0.640512 | + | 0.0965417i | 0.461265 | − | 0.887262i | \(-0.347396\pi\) |
0.179247 | + | 0.983804i | \(0.442634\pi\) | |||||||
\(360\) | −3813.61 | + | 2600.07i | −0.558319 | + | 0.380655i | ||||
\(361\) | −9655.77 | + | 16724.3i | −1.40775 | + | 2.43830i | ||||
\(362\) | 2440.89 | + | 4227.75i | 0.354394 | + | 0.613828i | ||||
\(363\) | 444.340 | + | 213.983i | 0.0642474 | + | 0.0309399i | ||||
\(364\) | 1478.16 | − | 1270.98i | 0.212847 | − | 0.183015i | ||||
\(365\) | −17381.6 | + | 8370.56i | −2.49259 | + | 1.20037i | ||||
\(366\) | −294.195 | − | 200.578i | −0.0420158 | − | 0.0286459i | ||||
\(367\) | 6968.35 | + | 6465.68i | 0.991131 | + | 0.919635i | 0.996767 | − | 0.0803492i | \(-0.0256036\pi\) |
−0.00563609 | + | 0.999984i | \(0.501794\pi\) | |||||||
\(368\) | 1084.18 | + | 1005.97i | 0.153578 | + | 0.142499i | ||||
\(369\) | −1029.57 | − | 701.952i | −0.145251 | − | 0.0990303i | ||||
\(370\) | −845.620 | + | 407.229i | −0.118815 | + | 0.0572185i | ||||
\(371\) | −2820.72 | − | 5342.48i | −0.394729 | − | 0.747622i | ||||
\(372\) | −291.600 | − | 140.427i | −0.0406418 | − | 0.0195721i | ||||
\(373\) | 1808.06 | + | 3131.64i | 0.250985 | + | 0.434719i | 0.963797 | − | 0.266636i | \(-0.0859121\pi\) |
−0.712812 | + | 0.701355i | \(0.752579\pi\) | |||||||
\(374\) | 949.647 | − | 1644.84i | 0.131297 | − | 0.227413i | ||||
\(375\) | −1964.55 | + | 1339.40i | −0.270530 | + | 0.184444i | ||||
\(376\) | −1022.75 | − | 154.155i | −0.140278 | − | 0.0211435i | ||||
\(377\) | 1160.94 | − | 5086.39i | 0.158597 | − | 0.694861i | ||||
\(378\) | 188.732 | + | 999.767i | 0.0256807 | + | 0.136038i | ||||
\(379\) | −1847.18 | − | 8093.02i | −0.250351 | − | 1.09686i | −0.931221 | − | 0.364456i | \(-0.881255\pi\) |
0.680869 | − | 0.732405i | \(-0.261602\pi\) | |||||||
\(380\) | 1043.43 | + | 13923.5i | 0.140859 | + | 1.87964i | ||||
\(381\) | −233.697 | − | 72.0858i | −0.0314242 | − | 0.00969309i | ||||
\(382\) | 1768.14 | + | 4505.15i | 0.236822 | + | 0.603413i | ||||
\(383\) | 13617.6 | − | 4200.47i | 1.81678 | − | 0.560402i | 0.816913 | − | 0.576762i | \(-0.195684\pi\) |
0.999866 | + | 0.0163596i | \(0.00520766\pi\) | |||||||
\(384\) | −40.7922 | − | 51.1518i | −0.00542101 | − | 0.00679774i | ||||
\(385\) | 859.329 | − | 7598.11i | 0.113754 | − | 1.00581i | ||||
\(386\) | 830.593 | − | 1041.53i | 0.109524 | − | 0.137338i | ||||
\(387\) | 2394.82 | − | 6101.89i | 0.314561 | − | 0.801490i | ||||
\(388\) | 511.065 | − | 6819.69i | 0.0668696 | − | 0.892313i | ||||
\(389\) | 12621.5 | − | 1902.38i | 1.64508 | − | 0.247956i | 0.739816 | − | 0.672810i | \(-0.234913\pi\) |
0.905262 | + | 0.424854i | \(0.139675\pi\) | |||||||
\(390\) | −425.506 | + | 394.812i | −0.0552470 | + | 0.0512617i | ||||
\(391\) | −4587.63 | −0.593366 | ||||||||
\(392\) | −2675.71 | + | 608.354i | −0.344755 | + | 0.0783839i | ||||
\(393\) | −534.382 | −0.0685903 | ||||||||
\(394\) | −2156.81 | + | 2001.22i | −0.275783 | + | 0.255889i | ||||
\(395\) | −14725.2 | + | 2219.46i | −1.87570 | + | 0.282717i | ||||
\(396\) | −152.938 | + | 2040.82i | −0.0194076 | + | 0.258977i | ||||
\(397\) | 2149.74 | − | 5477.46i | 0.271770 | − | 0.692457i | −0.728205 | − | 0.685359i | \(-0.759645\pi\) |
0.999975 | − | 0.00709838i | \(-0.00225950\pi\) | |||||||
\(398\) | −4786.22 | + | 6001.73i | −0.602793 | + | 0.755878i | ||||
\(399\) | 1445.26 | + | 506.399i | 0.181337 | + | 0.0635380i | ||||
\(400\) | 3397.62 | + | 4260.48i | 0.424703 | + | 0.532560i | ||||
\(401\) | 11091.7 | − | 3421.35i | 1.38128 | − | 0.426070i | 0.486934 | − | 0.873439i | \(-0.338115\pi\) |
0.894349 | + | 0.447369i | \(0.147639\pi\) | |||||||
\(402\) | 102.753 | + | 261.811i | 0.0127484 | + | 0.0324824i | ||||
\(403\) | 3980.59 | + | 1227.85i | 0.492028 | + | 0.151770i | ||||
\(404\) | 53.7333 | + | 717.021i | 0.00661716 | + | 0.0882999i | ||||
\(405\) | 3398.96 | + | 14891.8i | 0.417026 | + | 1.82711i | ||||
\(406\) | −4792.49 | + | 5564.26i | −0.585831 | + | 0.680171i | ||||
\(407\) | −92.6031 | + | 405.721i | −0.0112781 | + | 0.0494124i | ||||
\(408\) | 200.675 | + | 30.2469i | 0.0243502 | + | 0.00367020i | ||||
\(409\) | 2966.42 | − | 2022.47i | 0.358630 | − | 0.244510i | −0.370579 | − | 0.928801i | \(-0.620841\pi\) |
0.729209 | + | 0.684291i | \(0.239888\pi\) | |||||||
\(410\) | −1005.57 | + | 1741.69i | −0.121125 | + | 0.209795i | ||||
\(411\) | 742.445 | + | 1285.95i | 0.0891049 | + | 0.154334i | ||||
\(412\) | 3930.25 | + | 1892.71i | 0.469974 | + | 0.226328i | ||||
\(413\) | 8025.04 | + | 5927.95i | 0.956142 | + | 0.706284i | ||||
\(414\) | 4453.75 | − | 2144.81i | 0.528719 | − | 0.254618i | ||||
\(415\) | −14362.8 | − | 9792.37i | −1.69889 | − | 1.15829i | ||||
\(416\) | 617.288 | + | 572.760i | 0.0727525 | + | 0.0675045i | ||||
\(417\) | 605.946 | + | 562.236i | 0.0711590 | + | 0.0660259i | ||||
\(418\) | 5115.18 | + | 3487.47i | 0.598545 | + | 0.408081i | ||||
\(419\) | −3196.45 | + | 1539.33i | −0.372689 | + | 0.179477i | −0.610847 | − | 0.791749i | \(-0.709171\pi\) |
0.238158 | + | 0.971226i | \(0.423456\pi\) | |||||||
\(420\) | 789.291 | − | 211.135i | 0.0916987 | − | 0.0245294i | ||||
\(421\) | −10313.6 | − | 4966.75i | −1.19395 | − | 0.574975i | −0.272004 | − | 0.962296i | \(-0.587686\pi\) |
−0.921945 | + | 0.387321i | \(0.873401\pi\) | |||||||
\(422\) | 888.375 | + | 1538.71i | 0.102477 | + | 0.177496i | ||||
\(423\) | −1728.50 | + | 2993.85i | −0.198682 | + | 0.344128i | ||||
\(424\) | 2156.19 | − | 1470.06i | 0.246966 | − | 0.168379i | ||||
\(425\) | −16714.4 | − | 2519.29i | −1.90769 | − | 0.287538i | ||||
\(426\) | 145.850 | − | 639.012i | 0.0165880 | − | 0.0726766i | ||||
\(427\) | −3828.39 | − | 5191.84i | −0.433885 | − | 0.588409i | ||||
\(428\) | −796.681 | − | 3490.49i | −0.0899744 | − | 0.394203i | ||||
\(429\) | 19.2334 | + | 256.652i | 0.00216456 | + | 0.0288841i | ||||
\(430\) | −10109.4 | − | 3118.34i | −1.13377 | − | 0.349720i | ||||
\(431\) | 2981.82 | + | 7597.55i | 0.333246 | + | 0.849098i | 0.995046 | + | 0.0994169i | \(0.0316977\pi\) |
−0.661800 | + | 0.749681i | \(0.730207\pi\) | |||||||
\(432\) | −419.961 | + | 129.541i | −0.0467717 | + | 0.0144272i | ||||
\(433\) | 1715.75 | + | 2151.48i | 0.190424 | + | 0.238784i | 0.867874 | − | 0.496785i | \(-0.165486\pi\) |
−0.677450 | + | 0.735569i | \(0.736915\pi\) | |||||||
\(434\) | −4144.38 | − | 4147.86i | −0.458380 | − | 0.458764i | ||||
\(435\) | 1363.33 | − | 1709.56i | 0.150268 | − | 0.188430i | ||||
\(436\) | −96.6122 | + | 246.164i | −0.0106121 | + | 0.0270392i | ||||
\(437\) | 1117.50 | − | 14912.0i | 0.122328 | − | 1.63235i | ||||
\(438\) | −903.798 | + | 136.226i | −0.0985962 | + | 0.0148610i | ||||
\(439\) | −9324.74 | + | 8652.10i | −1.01377 | + | 0.940642i | −0.998244 | − | 0.0592370i | \(-0.981133\pi\) |
−0.0155275 | + | 0.999879i | \(0.504943\pi\) | |||||||
\(440\) | 3303.00 | 0.357874 | ||||||||
\(441\) | −1374.53 | + | 9067.80i | −0.148421 | + | 0.979138i | ||||
\(442\) | −2612.02 | −0.281088 | ||||||||
\(443\) | −1751.79 | + | 1625.43i | −0.187878 | + | 0.174326i | −0.768504 | − | 0.639845i | \(-0.778999\pi\) |
0.580626 | + | 0.814171i | \(0.302808\pi\) | |||||||
\(444\) | −43.9699 | + | 6.62740i | −0.00469982 | + | 0.000708384i | ||||
\(445\) | 1158.63 | − | 15460.9i | 0.123426 | − | 1.64700i | ||||
\(446\) | −3403.11 | + | 8670.98i | −0.361305 | + | 0.920589i | ||||
\(447\) | −1000.66 | + | 1254.79i | −0.105883 | + | 0.132773i | ||||
\(448\) | −391.009 | − | 1118.95i | −0.0412354 | − | 0.118003i | ||||
\(449\) | 3452.51 | + | 4329.31i | 0.362882 | + | 0.455039i | 0.929435 | − | 0.368986i | \(-0.120295\pi\) |
−0.566553 | + | 0.824025i | \(0.691724\pi\) | |||||||
\(450\) | 17404.5 | − | 5368.56i | 1.82323 | − | 0.562392i | ||||
\(451\) | 325.783 | + | 830.083i | 0.0340145 | + | 0.0866675i | ||||
\(452\) | −4528.32 | − | 1396.80i | −0.471227 | − | 0.145354i | ||||
\(453\) | −98.0376 | − | 1308.22i | −0.0101682 | − | 0.135686i | ||||
\(454\) | −691.932 | − | 3031.55i | −0.0715286 | − | 0.313387i | ||||
\(455\) | −9640.32 | + | 4201.22i | −0.993286 | + | 0.432870i | ||||
\(456\) | −147.199 | + | 644.922i | −0.0151167 | + | 0.0662307i | ||||
\(457\) | 14192.8 | + | 2139.22i | 1.45276 | + | 0.218968i | 0.827507 | − | 0.561455i | \(-0.189758\pi\) |
0.625252 | + | 0.780423i | \(0.284996\pi\) | |||||||
\(458\) | 6854.60 | − | 4673.39i | 0.699333 | − | 0.476797i | ||||
\(459\) | 681.614 | − | 1180.59i | 0.0693137 | − | 0.120055i | ||||
\(460\) | −3989.10 | − | 6909.32i | −0.404332 | − | 0.700323i | ||||
\(461\) | −2440.93 | − | 1175.49i | −0.246606 | − | 0.118759i | 0.306498 | − | 0.951871i | \(-0.400843\pi\) |
−0.553104 | + | 0.833112i | \(0.686557\pi\) | |||||||
\(462\) | 145.009 | − | 331.984i | 0.0146026 | − | 0.0334313i | ||||
\(463\) | −5798.47 | + | 2792.39i | −0.582025 | + | 0.280288i | −0.701640 | − | 0.712532i | \(-0.747548\pi\) |
0.119615 | + | 0.992820i | \(0.461834\pi\) | |||||||
\(464\) | −2620.95 | − | 1786.94i | −0.262230 | − | 0.178785i | ||||
\(465\) | 1279.83 | + | 1187.51i | 0.127636 | + | 0.118429i | ||||
\(466\) | −1838.86 | − | 1706.21i | −0.182797 | − | 0.169611i | ||||
\(467\) | 2180.52 | + | 1486.65i | 0.216065 | + | 0.147311i | 0.666516 | − | 0.745490i | \(-0.267785\pi\) |
−0.450452 | + | 0.892801i | \(0.648737\pi\) | |||||||
\(468\) | 2535.79 | − | 1221.17i | 0.250464 | − | 0.120617i | ||||
\(469\) | 188.387 | + | 5091.88i | 0.0185477 | + | 0.501325i | ||||
\(470\) | 5026.88 | + | 2420.82i | 0.493346 | + | 0.237583i | ||||
\(471\) | 320.553 | + | 555.214i | 0.0313595 | + | 0.0543162i | ||||
\(472\) | −2154.84 | + | 3732.30i | −0.210137 | + | 0.363968i | ||||
\(473\) | −3875.76 | + | 2642.45i | −0.376761 | + | 0.256871i | ||||
\(474\) | −697.635 | − | 105.152i | −0.0676022 | − | 0.0101894i | ||||
\(475\) | 12260.4 | − | 53716.1i | 1.18430 | − | 5.18877i | ||||
\(476\) | 3249.85 | + | 1719.34i | 0.312934 | + | 0.165558i | ||||
\(477\) | −1940.90 | − | 8503.63i | −0.186305 | − | 0.816257i | ||||
\(478\) | −277.547 | − | 3703.61i | −0.0265579 | − | 0.354391i | ||||
\(479\) | 1745.84 | + | 538.521i | 0.166534 | + | 0.0513688i | 0.376901 | − | 0.926254i | \(-0.376990\pi\) |
−0.210367 | + | 0.977622i | \(0.567466\pi\) | |||||||
\(480\) | 128.940 | + | 328.532i | 0.0122610 | + | 0.0312404i | ||||
\(481\) | 546.894 | − | 168.694i | 0.0518424 | − | 0.0159913i | ||||
\(482\) | 4444.35 | + | 5573.04i | 0.419989 | + | 0.526650i | ||||
\(483\) | −869.583 | + | 97.6093i | −0.0819201 | + | 0.00919539i | ||||
\(484\) | −2406.34 | + | 3017.46i | −0.225990 | + | 0.283382i | ||||
\(485\) | −13477.8 | + | 34340.9i | −1.26185 | + | 3.21513i | ||||
\(486\) | −164.925 | + | 2200.77i | −0.0153933 | + | 0.205409i | ||||
\(487\) | 17969.2 | − | 2708.42i | 1.67200 | − | 0.252013i | 0.756399 | − | 0.654110i | \(-0.226957\pi\) |
0.915597 | + | 0.402098i | \(0.131719\pi\) | |||||||
\(488\) | 2042.61 | − | 1895.27i | 0.189477 | − | 0.175809i | ||||
\(489\) | −377.978 | −0.0349545 | ||||||||
\(490\) | 14759.8 | + | 1118.54i | 1.36077 | + | 0.103124i | ||||
\(491\) | 5184.33 | 0.476509 | 0.238254 | − | 0.971203i | \(-0.423425\pi\) | ||||
0.238254 | + | 0.971203i | \(0.423425\pi\) | |||||||
\(492\) | −69.8464 | + | 64.8080i | −0.00640024 | + | 0.00593856i | ||||
\(493\) | 9729.69 | − | 1466.51i | 0.888850 | − | 0.133973i | ||||
\(494\) | 636.261 | − | 8490.31i | 0.0579488 | − | 0.773274i | ||||
\(495\) | 4033.28 | − | 10276.6i | 0.366227 | − | 0.933131i | ||||
\(496\) | 1579.17 | − | 1980.22i | 0.142957 | − | 0.179263i | ||||
\(497\) | 6321.84 | − | 10051.8i | 0.570570 | − | 0.907212i | ||||
\(498\) | −513.488 | − | 643.893i | −0.0462047 | − | 0.0579389i | ||||
\(499\) | 5218.19 | − | 1609.60i | 0.468133 | − | 0.144400i | −0.0517093 | − | 0.998662i | \(-0.516467\pi\) |
0.519842 | + | 0.854262i | \(0.325991\pi\) | |||||||
\(500\) | −6797.93 | − | 17320.9i | −0.608026 | − | 1.54922i | ||||
\(501\) | −671.915 | − | 207.258i | −0.0599181 | − | 0.0184823i | ||||
\(502\) | 649.864 | + | 8671.83i | 0.0577786 | + | 0.771001i | ||||
\(503\) | 364.559 | + | 1597.24i | 0.0323159 | + | 0.141585i | 0.988512 | − | 0.151141i | \(-0.0482948\pi\) |
−0.956196 | + | 0.292726i | \(0.905438\pi\) | |||||||
\(504\) | −3958.83 | − | 149.792i | −0.349882 | − | 0.0132386i | ||||
\(505\) | 863.095 | − | 3781.47i | 0.0760539 | − | 0.333214i | ||||
\(506\) | −3497.97 | − | 527.234i | −0.307320 | − | 0.0463210i | ||||
\(507\) | −635.392 | + | 433.203i | −0.0556583 | + | 0.0379472i | ||||
\(508\) | 956.931 | − | 1657.45i | 0.0835766 | − | 0.144759i | ||||
\(509\) | 956.337 | + | 1656.42i | 0.0832788 | + | 0.144243i | 0.904656 | − | 0.426142i | \(-0.140127\pi\) |
−0.821378 | + | 0.570385i | \(0.806794\pi\) | |||||||
\(510\) | −986.326 | − | 474.989i | −0.0856377 | − | 0.0412409i | ||||
\(511\) | −16268.8 | − | 3085.29i | −1.40840 | − | 0.267095i | ||||
\(512\) | 461.296 | − | 222.148i | 0.0398176 | − | 0.0191751i | ||||
\(513\) | 3671.45 | + | 2503.15i | 0.315981 | + | 0.215432i | ||||
\(514\) | 7121.03 | + | 6607.35i | 0.611080 | + | 0.567000i | ||||
\(515\) | −17249.8 | − | 16005.5i | −1.47596 | − | 1.36949i | ||||
\(516\) | −414.130 | − | 282.349i | −0.0353315 | − | 0.0240886i | ||||
\(517\) | 2228.89 | − | 1073.38i | 0.189606 | − | 0.0913095i | ||||
\(518\) | −791.481 | − | 150.100i | −0.0671345 | − | 0.0127317i | ||||
\(519\) | 1097.52 | + | 528.536i | 0.0928239 | + | 0.0447016i | ||||
\(520\) | −2271.24 | − | 3933.90i | −0.191539 | − | 0.331756i | ||||
\(521\) | 4407.63 | − | 7634.24i | 0.370637 | − | 0.641961i | −0.619027 | − | 0.785370i | \(-0.712473\pi\) |
0.989664 | + | 0.143408i | \(0.0458062\pi\) | |||||||
\(522\) | −8760.13 | + | 5972.55i | −0.734522 | + | 0.500788i | ||||
\(523\) | 331.077 | + | 49.9018i | 0.0276806 | + | 0.00417218i | 0.162868 | − | 0.986648i | \(-0.447926\pi\) |
−0.135187 | + | 0.990820i | \(0.543164\pi\) | |||||||
\(524\) | 930.560 | − | 4077.05i | 0.0775796 | − | 0.339898i | ||||
\(525\) | −3221.81 | − | 121.905i | −0.267831 | − | 0.0101340i | ||||
\(526\) | −2609.99 | − | 11435.1i | −0.216352 | − | 0.947899i | ||||
\(527\) | 587.109 | + | 7834.42i | 0.0485291 | + | 0.647576i | ||||
\(528\) | 149.534 | + | 46.1252i | 0.0123251 | + | 0.00380179i | ||||
\(529\) | −1323.42 | − | 3372.02i | −0.108771 | − | 0.277145i | ||||
\(530\) | −13451.9 | + | 4149.37i | −1.10248 | + | 0.340070i | ||||
\(531\) | 8981.03 | + | 11261.9i | 0.733980 | + | 0.920382i | ||||
\(532\) | −6380.30 | + | 10144.7i | −0.519964 | + | 0.826749i | ||||
\(533\) | 764.617 | − | 958.800i | 0.0621374 | − | 0.0779179i | ||||
\(534\) | 268.359 | − | 683.768i | 0.0217473 | − | 0.0554111i | ||||
\(535\) | −1443.27 | + | 19259.2i | −0.116632 | + | 1.55635i | ||||
\(536\) | −2176.41 | + | 328.041i | −0.175385 | + | 0.0264351i | ||||
\(537\) | 575.348 | − | 533.845i | 0.0462348 | − | 0.0428996i | ||||
\(538\) | 6213.55 | 0.497927 | ||||||||
\(539\) | 4468.12 | − | 4807.39i | 0.357060 | − | 0.384173i | ||||
\(540\) | 2370.75 | 0.188927 | ||||||||
\(541\) | −1814.05 | + | 1683.19i | −0.144163 | + | 0.133763i | −0.748958 | − | 0.662618i | \(-0.769445\pi\) |
0.604795 | + | 0.796381i | \(0.293255\pi\) | |||||||
\(542\) | 9064.70 | − | 1366.28i | 0.718380 | − | 0.108278i | ||||
\(543\) | 93.2357 | − | 1244.14i | 0.00736856 | − | 0.0983266i | ||||
\(544\) | −580.218 | + | 1478.37i | −0.0457291 | + | 0.116516i | ||||
\(545\) | 889.411 | − | 1115.29i | 0.0699049 | − | 0.0876580i | ||||
\(546\) | −495.107 | + | 55.5750i | −0.0388070 | + | 0.00435602i | ||||
\(547\) | 8161.96 | + | 10234.8i | 0.637989 | + | 0.800014i | 0.990750 | − | 0.135700i | \(-0.0433284\pi\) |
−0.352760 | + | 0.935714i | \(0.614757\pi\) | |||||||
\(548\) | −11104.0 | + | 3425.14i | −0.865584 | + | 0.266997i | ||||
\(549\) | −3402.52 | − | 8669.48i | −0.264510 | − | 0.673960i | ||||
\(550\) | −12454.9 | − | 3841.81i | −0.965594 | − | 0.297846i | ||||
\(551\) | 2396.82 | + | 31983.4i | 0.185314 | + | 2.47284i | ||||
\(552\) | −84.1093 | − | 368.507i | −0.00648538 | − | 0.0284143i | ||||
\(553\) | −11297.9 | − | 5977.18i | −0.868781 | − | 0.459630i | ||||
\(554\) | 1269.05 | − | 5560.09i | 0.0973231 | − | 0.426400i | ||||
\(555\) | 237.189 | + | 35.7506i | 0.0181408 | + | 0.00273428i | ||||
\(556\) | −5344.74 | + | 3643.99i | −0.407676 | + | 0.277949i | ||||
\(557\) | 3715.49 | − | 6435.43i | 0.282640 | − | 0.489547i | −0.689394 | − | 0.724387i | \(-0.742123\pi\) |
0.972034 | + | 0.234839i | \(0.0754564\pi\) | |||||||
\(558\) | −4232.73 | − | 7331.31i | −0.321122 | − | 0.556199i | ||||
\(559\) | 5812.27 | + | 2799.04i | 0.439772 | + | 0.211783i | ||||
\(560\) | 236.397 | + | 6389.54i | 0.0178385 | + | 0.482156i | ||||
\(561\) | −437.331 | + | 210.607i | −0.0329129 | + | 0.0158500i | ||||
\(562\) | −6032.25 | − | 4112.72i | −0.452767 | − | 0.308691i | ||||
\(563\) | 2635.24 | + | 2445.14i | 0.197268 | + | 0.183038i | 0.772622 | − | 0.634867i | \(-0.218945\pi\) |
−0.575353 | + | 0.817905i | \(0.695135\pi\) | |||||||
\(564\) | 193.772 | + | 179.794i | 0.0144668 | + | 0.0134232i | ||||
\(565\) | 21121.2 | + | 14400.2i | 1.57270 | + | 1.07225i | ||||
\(566\) | 1229.14 | − | 591.922i | 0.0912801 | − | 0.0439582i | ||||
\(567\) | −5247.86 | + | 12014.5i | −0.388694 | + | 0.889878i | ||||
\(568\) | 4621.35 | + | 2225.52i | 0.341386 | + | 0.164403i | ||||
\(569\) | 634.967 | + | 1099.80i | 0.0467824 | + | 0.0810296i | 0.888468 | − | 0.458938i | \(-0.151770\pi\) |
−0.841686 | + | 0.539967i | \(0.818437\pi\) | |||||||
\(570\) | 1784.20 | − | 3090.33i | 0.131109 | − | 0.227087i | ||||
\(571\) | −130.798 | + | 89.1766i | −0.00958621 | + | 0.00653577i | −0.568104 | − | 0.822957i | \(-0.692323\pi\) |
0.558517 | + | 0.829493i | \(0.311370\pi\) | |||||||
\(572\) | −1991.61 | − | 300.187i | −0.145583 | − | 0.0219431i | ||||
\(573\) | 275.231 | − | 1205.87i | 0.0200662 | − | 0.0879159i | ||||
\(574\) | −1582.45 | + | 689.626i | −0.115070 | + | 0.0501471i | ||||
\(575\) | 7005.54 | + | 30693.3i | 0.508089 | + | 2.22608i | ||||
\(576\) | −127.884 | − | 1706.49i | −0.00925087 | − | 0.123444i | ||||
\(577\) | 9031.43 | + | 2785.83i | 0.651617 | + | 0.200997i | 0.602902 | − | 0.797815i | \(-0.294011\pi\) |
0.0487155 | + | 0.998813i | \(0.484487\pi\) | |||||||
\(578\) | 1790.08 | + | 4561.05i | 0.128819 | + | 0.328226i | ||||
\(579\) | −325.335 | + | 100.353i | −0.0233514 | + | 0.00720296i | ||||
\(580\) | 10669.0 | + | 13378.5i | 0.763802 | + | 0.957778i | ||||
\(581\) | −4921.98 | − | 14085.2i | −0.351460 | − | 1.00577i | ||||
\(582\) | −1089.73 | + | 1366.48i | −0.0776128 | + | 0.0973234i | ||||
\(583\) | −2280.39 | + | 5810.33i | −0.161996 | + | 0.412760i | ||||
\(584\) | 534.524 | − | 7132.72i | 0.0378746 | − | 0.505401i | ||||
\(585\) | −15012.9 | + | 2262.84i | −1.06104 | + | 0.159926i | ||||
\(586\) | 247.204 | − | 229.372i | 0.0174265 | − | 0.0161694i | ||||
\(587\) | −2416.93 | −0.169944 | −0.0849721 | − | 0.996383i | \(-0.527080\pi\) | ||||
−0.0849721 | + | 0.996383i | \(0.527080\pi\) | |||||||
\(588\) | 652.589 | + | 256.754i | 0.0457692 | + | 0.0180074i | ||||
\(589\) | −25608.6 | −1.79149 | ||||||||
\(590\) | 17042.0 | − | 15812.7i | 1.18917 | − | 1.10338i | ||||
\(591\) | 743.544 | − | 112.071i | 0.0517518 | − | 0.00780033i | ||||
\(592\) | 26.0047 | − | 347.008i | 0.00180538 | − | 0.0240911i | ||||
\(593\) | −6361.37 | + | 16208.5i | −0.440523 | + | 1.12243i | 0.522410 | + | 0.852695i | \(0.325033\pi\) |
−0.962933 | + | 0.269740i | \(0.913062\pi\) | |||||||
\(594\) | 655.396 | − | 821.841i | 0.0452714 | − | 0.0567686i | ||||
\(595\) | −14018.2 | − | 14030.0i | −0.965866 | − | 0.966677i | ||||
\(596\) | −7830.85 | − | 9819.58i | −0.538195 | − | 0.674875i | ||||
\(597\) | 1874.71 | − | 578.273i | 0.128521 | − | 0.0396434i | ||||
\(598\) | 1777.37 | + | 4528.65i | 0.121542 | + | 0.309683i | ||||
\(599\) | 8898.59 | + | 2744.85i | 0.606989 | + | 0.187231i | 0.582988 | − | 0.812481i | \(-0.301883\pi\) |
0.0240009 | + | 0.999712i | \(0.492360\pi\) | |||||||
\(600\) | −104.076 | − | 1388.79i | −0.00708145 | − | 0.0944954i | ||||
\(601\) | −968.118 | − | 4241.60i | −0.0657078 | − | 0.287884i | 0.931389 | − | 0.364024i | \(-0.118598\pi\) |
−0.997097 | + | 0.0761400i | \(0.975740\pi\) | |||||||
\(602\) | −5389.12 | − | 7308.41i | −0.364857 | − | 0.494798i | ||||
\(603\) | −1636.97 | + | 7172.02i | −0.110551 | + | 0.484357i | ||||
\(604\) | 10151.8 | + | 1530.13i | 0.683889 | + | 0.103080i | ||||
\(605\) | 17201.8 | − | 11728.0i | 1.15595 | − | 0.788115i | ||||
\(606\) | 91.8811 | − | 159.143i | 0.00615910 | − | 0.0106679i | ||||
\(607\) | −811.715 | − | 1405.93i | −0.0542776 | − | 0.0940116i | 0.837610 | − | 0.546269i | \(-0.183952\pi\) |
−0.891888 | + | 0.452257i | \(0.850619\pi\) | |||||||
\(608\) | −4664.08 | − | 2246.10i | −0.311108 | − | 0.149822i | ||||
\(609\) | 1813.06 | − | 484.992i | 0.120638 | − | 0.0322707i | ||||
\(610\) | −13542.6 | + | 6521.75i | −0.898888 | + | 0.432882i | ||||
\(611\) | −2811.05 | − | 1916.54i | −0.186126 | − | 0.126898i | ||||
\(612\) | 3891.16 | + | 3610.46i | 0.257011 | + | 0.238471i | ||||
\(613\) | 16000.2 | + | 14846.0i | 1.05423 | + | 0.978183i | 0.999793 | − | 0.0203342i | \(-0.00647301\pi\) |
0.0544373 | + | 0.998517i | \(0.482663\pi\) | |||||||
\(614\) | −209.265 | − | 142.674i | −0.0137545 | − | 0.00937763i | ||||
\(615\) | 463.083 | − | 223.009i | 0.0303631 | − | 0.0146221i | ||||
\(616\) | 2280.34 | + | 1684.45i | 0.149152 | + | 0.110176i | ||||
\(617\) | −15080.1 | − | 7262.20i | −0.983959 | − | 0.473850i | −0.128494 | − | 0.991710i | \(-0.541014\pi\) |
−0.855465 | + | 0.517860i | \(0.826729\pi\) | |||||||
\(618\) | −557.427 | − | 965.492i | −0.0362832 | − | 0.0628443i | ||||
\(619\) | 998.471 | − | 1729.40i | 0.0648335 | − | 0.112295i | −0.831787 | − | 0.555095i | \(-0.812682\pi\) |
0.896620 | + | 0.442801i | \(0.146015\pi\) | |||||||
\(620\) | −11288.7 | + | 7696.53i | −0.731236 | + | 0.498548i | ||||
\(621\) | −2510.69 | − | 378.425i | −0.162239 | − | 0.0244536i | ||||
\(622\) | 266.109 | − | 1165.90i | 0.0171543 | − | 0.0751580i | ||||
\(623\) | 8684.56 | − | 10083.1i | 0.558490 | − | 0.648427i | ||||
\(624\) | −47.8886 | − | 209.814i | −0.00307224 | − | 0.0134604i | ||||
\(625\) | 4319.41 | + | 57638.5i | 0.276442 | + | 3.68886i | ||||
\(626\) | −13363.0 | − | 4121.94i | −0.853183 | − | 0.263172i | ||||
\(627\) | −578.045 | − | 1472.84i | −0.0368180 | − | 0.0938108i | ||||
\(628\) | −4794.20 | + | 1478.81i | −0.304633 | + | 0.0939667i | ||||
\(629\) | 672.989 | + | 843.902i | 0.0426611 | + | 0.0534953i | ||||
\(630\) | 20168.4 | + | 7066.73i | 1.27544 | + | 0.446897i | ||||
\(631\) | −13932.3 | + | 17470.6i | −0.878982 | + | 1.10221i | 0.115076 | + | 0.993357i | \(0.463289\pi\) |
−0.994058 | + | 0.108852i | \(0.965282\pi\) | |||||||
\(632\) | 2017.10 | − | 5139.48i | 0.126955 | − | 0.323477i | ||||
\(633\) | 33.9336 | − | 452.812i | 0.00213071 | − | 0.0284324i | ||||
\(634\) | −15823.4 | + | 2384.99i | −0.991208 | + | 0.149400i | ||||
\(635\) | −7568.06 | + | 7022.14i | −0.472960 | + | 0.438843i | ||||
\(636\) | −666.943 | −0.0415818 | ||||||||
\(637\) | −8798.05 | − | 2015.86i | −0.547240 | − | 0.125387i | ||||
\(638\) | 7587.23 | 0.470817 | ||||||||
\(639\) | 12567.4 | − | 11660.8i | 0.778024 | − | 0.721901i | ||||
\(640\) | −2731.06 | + | 411.641i | −0.168679 | + | 0.0254243i | ||||
\(641\) | −794.633 | + | 10603.6i | −0.0489643 | + | 0.653383i | 0.917690 | + | 0.397298i | \(0.130052\pi\) |
−0.966654 | + | 0.256086i | \(0.917567\pi\) | |||||||
\(642\) | −334.287 | + | 851.750i | −0.0205503 | + | 0.0523612i | ||||
\(643\) | −14792.3 | + | 18548.9i | −0.907232 | + | 1.13763i | 0.0827680 | + | 0.996569i | \(0.473624\pi\) |
−0.990000 | + | 0.141065i | \(0.954947\pi\) | |||||||
\(644\) | 769.566 | − | 6804.44i | 0.0470887 | − | 0.416355i | ||||
\(645\) | 1685.77 | + | 2113.89i | 0.102911 | + | 0.129046i | ||||
\(646\) | 15344.2 | − | 4733.05i | 0.934532 | − | 0.288265i | ||||
\(647\) | −7879.98 | − | 20077.9i | −0.478816 | − | 1.22000i | −0.942561 | − | 0.334034i | \(-0.891590\pi\) |
0.463745 | − | 0.885969i | \(-0.346505\pi\) | |||||||
\(648\) | −5411.65 | − | 1669.27i | −0.328070 | − | 0.101196i | ||||
\(649\) | −770.319 | − | 10279.2i | −0.0465912 | − | 0.621716i | ||||
\(650\) | 3988.69 | + | 17475.6i | 0.240691 | + | 1.05454i | ||||
\(651\) | 277.976 | + | 1472.52i | 0.0167354 | + | 0.0886523i | ||||
\(652\) | 658.202 | − | 2883.77i | 0.0395356 | − | 0.173217i | ||||
\(653\) | 3226.09 | + | 486.255i | 0.193333 | + | 0.0291403i | 0.244995 | − | 0.969524i | \(-0.421214\pi\) |
−0.0516618 | + | 0.998665i | \(0.516452\pi\) | |||||||
\(654\) | 55.8402 | − | 38.0712i | 0.00333872 | − | 0.00227630i | ||||
\(655\) | −11279.3 | + | 19536.4i | −0.672854 | + | 1.16542i | ||||
\(656\) | −372.822 | − | 645.746i | −0.0221894 | − | 0.0384332i | ||||
\(657\) | −21539.3 | − | 10372.8i | −1.27904 | − | 0.615953i | ||||
\(658\) | 2235.93 | + | 4234.88i | 0.132471 | + | 0.250901i | ||||
\(659\) | 4513.87 | − | 2173.76i | 0.266822 | − | 0.128494i | −0.295690 | − | 0.955284i | \(-0.595550\pi\) |
0.562511 | + | 0.826790i | \(0.309835\pi\) | |||||||
\(660\) | −697.465 | − | 475.523i | −0.0411345 | − | 0.0280450i | ||||
\(661\) | −17942.1 | − | 16647.8i | −1.05577 | − | 0.979615i | −0.0559505 | − | 0.998434i | \(-0.517819\pi\) |
−0.999823 | + | 0.0188190i | \(0.994009\pi\) | |||||||
\(662\) | −4474.71 | − | 4151.92i | −0.262711 | − | 0.243760i | ||||
\(663\) | 551.556 | + | 376.045i | 0.0323087 | + | 0.0220277i | ||||
\(664\) | 5806.74 | − | 2796.38i | 0.339375 | − | 0.163435i | ||||
\(665\) | 49018.8 | − | 42148.3i | 2.85845 | − | 2.45781i | ||||
\(666\) | −1047.89 | − | 504.638i | −0.0609684 | − | 0.0293609i | ||||
\(667\) | −9163.24 | − | 15871.2i | −0.531937 | − | 0.921342i | ||||
\(668\) | 2751.33 | − | 4765.44i | 0.159360 | − | 0.276019i | ||||
\(669\) | 1966.94 | − | 1341.04i | 0.113672 | − | 0.0775000i | ||||
\(670\) | 11740.3 | + | 1769.57i | 0.676967 | + | 0.102036i | ||||
\(671\) | −1483.03 | + | 6497.60i | −0.0853232 | + | 0.373826i | ||||
\(672\) | −78.5254 | + | 292.570i | −0.00450772 | + | 0.0167948i | ||||
\(673\) | −6242.18 | − | 27348.8i | −0.357531 | − | 1.56645i | −0.759322 | − | 0.650715i | \(-0.774469\pi\) |
0.401791 | − | 0.915731i | \(-0.368388\pi\) | |||||||
\(674\) | −799.336 | − | 10666.4i | −0.0456814 | − | 0.609576i | ||||
\(675\) | −8939.54 | − | 2757.48i | −0.509752 | − | 0.157238i | ||||
\(676\) | −2198.65 | − | 5602.08i | −0.125094 | − | 0.318734i | ||||
\(677\) | 25877.0 | − | 7982.01i | 1.46903 | − | 0.453137i | 0.545976 | − | 0.837801i | \(-0.316159\pi\) |
0.923057 | + | 0.384664i | \(0.125683\pi\) | |||||||
\(678\) | 755.111 | + | 946.880i | 0.0427727 | + | 0.0536352i | ||||
\(679\) | −26817.9 | + | 16835.1i | −1.51572 | + | 0.951505i | ||||
\(680\) | 5341.48 | − | 6698.01i | 0.301230 | − | 0.377731i | ||||
\(681\) | −290.335 | + | 739.761i | −0.0163372 | + | 0.0416266i | ||||
\(682\) | −452.715 | + | 6041.06i | −0.0254184 | + | 0.339185i | ||||
\(683\) | 16560.2 | − | 2496.05i | 0.927759 | − | 0.139837i | 0.332255 | − | 0.943189i | \(-0.392190\pi\) |
0.595504 | + | 0.803352i | \(0.296952\pi\) | |||||||
\(684\) | −12683.6 | + | 11768.6i | −0.709019 | + | 0.657873i | ||||
\(685\) | 62683.9 | 3.49639 | ||||||||
\(686\) | 9619.52 | + | 8299.35i | 0.535386 | + | 0.461911i | ||||
\(687\) | −2120.24 | −0.117747 | ||||||||
\(688\) | 2875.33 | − | 2667.91i | 0.159333 | − | 0.147839i | ||||
\(689\) | 8488.21 | − | 1279.39i | 0.469340 | − | 0.0707416i | ||||
\(690\) | −152.373 | + | 2033.28i | −0.00840687 | + | 0.112182i | ||||
\(691\) | 11192.4 | − | 28517.8i | 0.616179 | − | 1.57000i | −0.192212 | − | 0.981353i | \(-0.561566\pi\) |
0.808391 | − | 0.588645i | \(-0.200339\pi\) | |||||||
\(692\) | −5943.64 | + | 7453.09i | −0.326508 | + | 0.409427i | ||||
\(693\) | 8025.34 | − | 5037.96i | 0.439910 | − | 0.276156i | ||||
\(694\) | −669.757 | − | 839.848i | −0.0366334 | − | 0.0459369i | ||||
\(695\) | 33344.5 | − | 10285.4i | 1.81990 | − | 0.561365i | ||||
\(696\) | 296.183 | + | 754.662i | 0.0161304 | + | 0.0410997i | ||||
\(697\) | 2210.13 | + | 681.735i | 0.120107 | + | 0.0370482i | ||||
\(698\) | 778.728 | + | 10391.4i | 0.0422282 | + | 0.563496i | ||||
\(699\) | 142.657 | + | 625.020i | 0.00771928 | + | 0.0338204i | ||||
\(700\) | 6540.46 | − | 24368.4i | 0.353152 | − | 1.31577i | ||||
\(701\) | −3925.34 | + | 17198.1i | −0.211495 | + | 0.926621i | 0.752056 | + | 0.659099i | \(0.229062\pi\) |
−0.963552 | + | 0.267523i | \(0.913795\pi\) | |||||||
\(702\) | −1429.49 | − | 215.461i | −0.0768555 | − | 0.0115841i | ||||
\(703\) | −2907.02 | + | 1981.97i | −0.155961 | + | 0.106332i | ||||
\(704\) | −612.307 | + | 1060.55i | −0.0327801 | + | 0.0567768i | ||||
\(705\) | −712.963 | − | 1234.89i | −0.0380875 | − | 0.0659696i | ||||
\(706\) | −3518.98 | − | 1694.65i | −0.187590 | − | 0.0903387i | ||||
\(707\) | 2524.32 | − | 2170.51i | 0.134281 | − | 0.115461i | ||||
\(708\) | 992.347 | − | 477.889i | 0.0526761 | − | 0.0253675i | ||||
\(709\) | 2878.31 | + | 1962.40i | 0.152464 | + | 0.103948i | 0.637149 | − | 0.770740i | \(-0.280113\pi\) |
−0.484685 | + | 0.874689i | \(0.661066\pi\) | |||||||
\(710\) | −20283.0 | − | 18819.9i | −1.07213 | − | 0.994787i | ||||
\(711\) | −13527.4 | − | 12551.6i | −0.713525 | − | 0.662055i | ||||
\(712\) | 4749.48 | + | 3238.14i | 0.249992 | + | 0.170442i | ||||
\(713\) | 13183.6 | − | 6348.90i | 0.692470 | − | 0.333476i | ||||
\(714\) | −438.712 | − | 830.928i | −0.0229950 | − | 0.0435528i | ||||
\(715\) | 9788.85 | + | 4714.06i | 0.512003 | + | 0.246568i | ||||
\(716\) | 3071.06 | + | 5319.22i | 0.160294 | + | 0.277638i | ||||
\(717\) | −474.590 | + | 822.014i | −0.0247195 | + | 0.0428155i | ||||
\(718\) | 7280.86 | − | 4964.01i | 0.378439 | − | 0.258015i | ||||
\(719\) | −19059.2 | − | 2872.71i | −0.988578 | − | 0.149004i | −0.365204 | − | 0.930928i | \(-0.619001\pi\) |
−0.623374 | + | 0.781923i | \(0.714239\pi\) | |||||||
\(720\) | −2054.15 | + | 8999.80i | −0.106324 | + | 0.465837i | ||||
\(721\) | −3746.62 | − | 19846.9i | −0.193525 | − | 1.02516i | ||||
\(722\) | 8594.45 | + | 37654.7i | 0.443009 | + | 1.94095i | ||||
\(723\) | −136.139 | − | 1816.65i | −0.00700286 | − | 0.0934467i | ||||
\(724\) | 9329.81 | + | 2877.86i | 0.478922 | + | 0.147728i | ||||
\(725\) | −24669.4 | − | 62856.5i | −1.26372 | − | 3.21991i | ||||
\(726\) | 942.539 | − | 290.735i | 0.0481831 | − | 0.0148625i | ||||
\(727\) | −15676.2 | − | 19657.4i | −0.799724 | − | 1.00282i | −0.999735 | − | 0.0230285i | \(-0.992669\pi\) |
0.200011 | − | 0.979794i | \(-0.435902\pi\) | |||||||
\(728\) | 438.161 | − | 3874.19i | 0.0223068 | − | 0.197235i | ||||
\(729\) | −11565.4 | + | 14502.5i | −0.587582 | + | 0.736805i | ||||
\(730\) | −14096.4 | + | 35917.2i | −0.714702 | + | 1.82103i | ||||
\(731\) | −909.224 | + | 12132.8i | −0.0460039 | + | 0.613880i | ||||
\(732\) | −704.176 | + | 106.137i | −0.0355561 | + | 0.00535922i | ||||
\(733\) | 14.7411 | − | 13.6777i | 0.000742802 | − | 0.000689219i | −0.679801 | − | 0.733396i | \(-0.737934\pi\) |
0.680544 | + | 0.732707i | \(0.261743\pi\) | |||||||
\(734\) | 19011.9 | 0.956051 | ||||||||
\(735\) | −2955.66 | − | 2361.12i | −0.148328 | − | 0.118491i | ||||
\(736\) | 2957.98 | 0.148142 | ||||||||
\(737\) | 3859.07 | − | 3580.69i | 0.192877 | − | 0.178964i | ||||
\(738\) | −2464.36 | + | 371.443i | −0.122919 | + | 0.0185271i | ||||
\(739\) | −2382.67 | + | 31794.5i | −0.118603 | + | 1.58265i | 0.547510 | + | 0.836799i | \(0.315576\pi\) |
−0.666113 | + | 0.745851i | \(0.732043\pi\) | |||||||
\(740\) | −685.794 | + | 1747.38i | −0.0340680 | + | 0.0868038i | ||||
\(741\) | −1356.68 | + | 1701.22i | −0.0672589 | + | 0.0843400i | ||||
\(742\) | −11403.1 | − | 3995.48i | −0.564179 | − | 0.197680i | ||||
\(743\) | −24400.2 | − | 30596.9i | −1.20479 | − | 1.51075i | −0.804050 | − | 0.594561i | \(-0.797326\pi\) |
−0.400736 | − | 0.916194i | \(-0.631246\pi\) | |||||||
\(744\) | −618.546 | + | 190.796i | −0.0304798 | + | 0.00940178i | ||||
\(745\) | 24752.4 | + | 63068.1i | 1.21726 | + | 3.10153i | ||||
\(746\) | 6910.91 | + | 2131.73i | 0.339178 | + | 0.104622i | ||||
\(747\) | −1609.79 | − | 21481.2i | −0.0788476 | − | 1.05215i | ||||
\(748\) | −845.265 | − | 3703.35i | −0.0413181 | − | 0.181027i | ||||
\(749\) | −10818.1 | + | 12560.2i | −0.527750 | + | 0.612737i | ||||
\(750\) | −1058.17 | + | 4636.17i | −0.0515188 | + | 0.225718i | ||||
\(751\) | −37381.4 | − | 5634.34i | −1.81633 | − | 0.273768i | −0.849206 | − | 0.528062i | \(-0.822919\pi\) |
−0.967127 | + | 0.254294i | \(0.918157\pi\) | |||||||
\(752\) | −1709.17 | + | 1165.29i | −0.0828816 | + | 0.0565077i | ||||
\(753\) | 1111.23 | − | 1924.71i | 0.0537790 | − | 0.0931479i | ||||
\(754\) | −5217.20 | − | 9036.45i | −0.251988 | − | 0.436456i | ||||
\(755\) | −49896.3 | − | 24028.8i | −2.40518 | − | 1.15827i | ||||
\(756\) | 1636.73 | + | 1209.02i | 0.0787398 | + | 0.0581636i | ||||
\(757\) | −17399.0 | + | 8378.93i | −0.835374 | + | 0.402295i | −0.802128 | − | 0.597152i | \(-0.796299\pi\) |
−0.0332463 | + | 0.999447i | \(0.510585\pi\) | |||||||
\(758\) | −13717.5 | − | 9352.40i | −0.657309 | − | 0.448146i | ||||
\(759\) | 662.730 | + | 614.924i | 0.0316938 | + | 0.0294075i | ||||
\(760\) | 20470.6 | + | 18993.9i | 0.977035 | + | 0.906556i | ||||
\(761\) | −11569.0 | − | 7887.60i | −0.551085 | − | 0.375723i | 0.255530 | − | 0.966801i | \(-0.417750\pi\) |
−0.806614 | + | 0.591078i | \(0.798703\pi\) | |||||||
\(762\) | −440.685 | + | 212.223i | −0.0209506 | + | 0.0100893i | ||||
\(763\) | 1182.81 | − | 316.400i | 0.0561211 | − | 0.0150124i | ||||
\(764\) | 8720.84 | + | 4199.74i | 0.412970 | + | 0.198876i | ||||
\(765\) | −14317.0 | − | 24797.9i | −0.676646 | − | 1.17198i | ||||
\(766\) | 14250.7 | − | 24682.9i | 0.672192 | − | 1.16427i | ||||
\(767\) | −11712.9 | + | 7985.73i | −0.551406 | + | 0.375942i | ||||
\(768\) | −129.390 | − | 19.5024i | −0.00607936 | − | 0.000916317i | ||||
\(769\) | −4607.51 | + | 20186.8i | −0.216061 | + | 0.946626i | 0.744295 | + | 0.667851i | \(0.232786\pi\) |
−0.960356 | + | 0.278775i | \(0.910071\pi\) | |||||||
\(770\) | −9076.20 | − | 12308.6i | −0.424784 | − | 0.576067i | ||||
\(771\) | −552.443 | − | 2420.41i | −0.0258051 | − | 0.113060i | ||||
\(772\) | −199.106 | − | 2656.89i | −0.00928237 | − | 0.123865i | ||||
\(773\) | 19231.7 | + | 5932.19i | 0.894845 | + | 0.276023i | 0.707871 | − | 0.706342i | \(-0.249656\pi\) |
0.186974 | + | 0.982365i | \(0.440132\pi\) | |||||||
\(774\) | −4789.63 | − | 12203.8i | −0.222429 | − | 0.566739i | ||||
\(775\) | 51519.3 | − | 15891.6i | 2.38791 | − | 0.736571i | ||||
\(776\) | −8527.86 | − | 10693.6i | −0.394500 | − | 0.494688i | ||||
\(777\) | 145.520 | + | 145.642i | 0.00671881 | + | 0.00672444i | ||||
\(778\) | 15916.5 | − | 19958.7i | 0.733464 | − | 0.919735i | ||||
\(779\) | −2754.33 | + | 7017.92i | −0.126681 | + | 0.322777i | ||||
\(780\) | −86.7554 | + | 1157.67i | −0.00398249 | + | 0.0531426i | ||||
\(781\) | −12131.4 | + | 1828.51i | −0.555819 | + | 0.0837762i | ||||
\(782\) | −6725.94 | + | 6240.76i | −0.307569 | + | 0.285382i | ||||
\(783\) | 5445.77 | 0.248552 | ||||||||
\(784\) | −3095.30 | + | 4531.80i | −0.141003 | + | 0.206442i | ||||
\(785\) | 27064.0 | 1.23052 | ||||||||
\(786\) | −783.459 | + | 726.943i | −0.0355535 | + | 0.0329888i | ||||
\(787\) | 17926.1 | − | 2701.92i | 0.811940 | − | 0.122380i | 0.270068 | − | 0.962841i | \(-0.412954\pi\) |
0.541872 | + | 0.840461i | \(0.317716\pi\) | |||||||
\(788\) | −439.746 | + | 5868.01i | −0.0198798 | + | 0.265278i | ||||
\(789\) | −1095.15 | + | 2790.40i | −0.0494150 | + | 0.125907i | ||||
\(790\) | −18569.4 | + | 23285.3i | −0.836289 | + | 1.04867i | ||||
\(791\) | 7238.04 | + | 20713.0i | 0.325354 | + | 0.931061i | ||||
\(792\) | 2551.99 | + | 3200.10i | 0.114496 | + | 0.143574i | ||||
\(793\) | 8758.47 | − | 2701.63i | 0.392210 | − | 0.120981i | ||||
\(794\) | −4299.49 | − | 10954.9i | −0.192170 | − | 0.489641i | ||||
\(795\) | 3437.89 | + | 1060.45i | 0.153370 | + | 0.0473085i | ||||
\(796\) | 1147.33 | + | 15310.1i | 0.0510880 | + | 0.681723i | ||||
\(797\) | 3994.36 | + | 17500.4i | 0.177525 | + | 0.777789i | 0.982768 | + | 0.184843i | \(0.0591778\pi\) |
−0.805243 | + | 0.592945i | \(0.797965\pi\) | |||||||
\(798\) | 2807.78 | − | 1223.62i | 0.124554 | − | 0.0542803i | ||||
\(799\) | 1427.82 | − | 6255.68i | 0.0632198 | − | 0.276984i | ||||
\(800\) | 10777.0 | + | 1624.37i | 0.476280 | + | 0.0717877i | ||||
\(801\) | 15874.4 | − | 10823.0i | 0.700242 | − | 0.477417i | ||||
\(802\) | 11607.4 | − | 20104.6i | 0.511063 | − | 0.885186i | ||||
\(803\) | 8554.03 | + | 14816.0i | 0.375922 | + | 0.651115i | ||||
\(804\) | 506.799 | + | 244.062i | 0.0222306 | + | 0.0107057i | ||||
\(805\) | −14786.0 | + | 33851.2i | −0.647378 | + | 1.48211i | ||||
\(806\) | 7506.25 | − | 3614.82i | 0.328035 | − | 0.157973i | ||||
\(807\) | −1312.06 | − | 894.546i | −0.0572325 | − | 0.0390205i | ||||
\(808\) | 1054.18 | + | 978.132i | 0.0458982 | + | 0.0425873i | ||||
\(809\) | −4732.39 | − | 4391.01i | −0.205664 | − | 0.190828i | 0.570615 | − | 0.821217i | \(-0.306705\pi\) |
−0.776279 | + | 0.630390i | \(0.782895\pi\) | |||||||
\(810\) | 25241.2 | + | 17209.2i | 1.09492 | + | 0.746505i | ||||
\(811\) | 10447.5 | − | 5031.27i | 0.452359 | − | 0.217845i | −0.193810 | − | 0.981039i | \(-0.562084\pi\) |
0.646169 | + | 0.763195i | \(0.276370\pi\) | |||||||
\(812\) | 543.020 | + | 14677.2i | 0.0234683 | + | 0.634322i | ||||
\(813\) | −2110.81 | − | 1016.51i | −0.0910570 | − | 0.0438507i | ||||
\(814\) | 416.155 | + | 720.801i | 0.0179192 | + | 0.0310369i | ||||
\(815\) | −7978.08 | + | 13818.4i | −0.342896 | + | 0.593912i | ||||
\(816\) | 335.356 | − | 228.642i | 0.0143870 | − | 0.00980891i | ||||
\(817\) | −39215.8 | − | 5910.83i | −1.67930 | − | 0.253114i | ||||
\(818\) | 1597.82 | − | 7000.50i | 0.0682963 | − | 0.299226i | ||||
\(819\) | −11518.7 | − | 6094.00i | −0.491449 | − | 0.260002i | ||||
\(820\) | 895.039 | + | 3921.42i | 0.0381172 | + | 0.167002i | ||||
\(821\) | −1786.57 | − | 23840.1i | −0.0759459 | − | 1.01343i | −0.896842 | − | 0.442351i | \(-0.854145\pi\) |
0.820896 | − | 0.571077i | \(-0.193474\pi\) | |||||||
\(822\) | 2837.84 | + | 875.358i | 0.120415 | + | 0.0371431i | ||||
\(823\) | 6241.24 | + | 15902.4i | 0.264345 | + | 0.673540i | 0.999993 | − | 0.00382417i | \(-0.00121727\pi\) |
−0.735648 | + | 0.677364i | \(0.763122\pi\) | |||||||
\(824\) | 8336.89 | − | 2571.59i | 0.352463 | − | 0.108720i | ||||
\(825\) | 2076.88 | + | 2604.33i | 0.0876458 | + | 0.109904i | ||||
\(826\) | 19829.6 | − | 2225.84i | 0.835303 | − | 0.0937613i | ||||
\(827\) | −16667.0 | + | 20899.8i | −0.700808 | + | 0.878786i | −0.997084 | − | 0.0763168i | \(-0.975684\pi\) |
0.296275 | + | 0.955103i | \(0.404255\pi\) | |||||||
\(828\) | 3611.97 | − | 9203.16i | 0.151600 | − | 0.386270i | ||||
\(829\) | 1141.10 | − | 15226.9i | 0.0478071 | − | 0.637941i | −0.920910 | − | 0.389775i | \(-0.872553\pi\) |
0.968717 | − | 0.248167i | \(-0.0798281\pi\) | |||||||
\(830\) | −34378.3 | + | 5181.70i | −1.43770 | + | 0.216698i | ||||
\(831\) | −1068.45 | + | 991.372i | −0.0446016 | + | 0.0413843i | ||||
\(832\) | 1684.16 | 0.0701776 | ||||||||
\(833\) | −2523.03 | − | 16835.0i | −0.104944 | − | 0.700239i | ||||
\(834\) | 1653.22 | 0.0686405 | ||||||||
\(835\) | −21759.4 | + | 20189.8i | −0.901815 | + | 0.836762i | ||||
\(836\) | 12243.6 | − | 1845.42i | 0.506522 | − | 0.0763459i | ||||
\(837\) | −324.938 | + | 4336.00i | −0.0134188 | + | 0.179061i | ||||
\(838\) | −2592.30 | + | 6605.08i | −0.106861 | + | 0.272278i | ||||
\(839\) | 5573.93 | − | 6989.49i | 0.229361 | − | 0.287609i | −0.653812 | − | 0.756657i | \(-0.726831\pi\) |
0.883173 | + | 0.469048i | \(0.155403\pi\) | |||||||
\(840\) | 869.966 | − | 1383.25i | 0.0357341 | − | 0.0568176i | ||||
\(841\) | 9301.10 | + | 11663.2i | 0.381365 | + | 0.478216i | ||||
\(842\) | −21877.3 | + | 6748.24i | −0.895415 | + | 0.276199i | ||||
\(843\) | 681.679 | + | 1736.89i | 0.0278509 | + | 0.0709629i | ||||
\(844\) | 3395.63 | + | 1047.41i | 0.138486 | + | 0.0427173i | ||||
\(845\) | 2426.01 | + | 32372.9i | 0.0987662 | + | 1.31794i | ||||
\(846\) | 1538.51 | + | 6740.66i | 0.0625238 | + | 0.273935i | ||||
\(847\) | 17856.8 | + | 675.654i | 0.724401 | + | 0.0274094i | ||||
\(848\) | 1161.40 | − | 5088.42i | 0.0470314 | − | 0.206058i | ||||
\(849\) | −344.763 | − | 51.9647i | −0.0139367 | − | 0.00210062i | ||||
\(850\) | −27932.1 | + | 19043.8i | −1.12713 | + | 0.768468i | ||||
\(851\) | 1005.20 | − | 1741.05i | 0.0404908 | − | 0.0701322i | ||||
\(852\) | −655.446 | − | 1135.27i | −0.0263559 | − | 0.0456497i | ||||
\(853\) | −24571.2 | − | 11832.8i | −0.986284 | − | 0.474969i | −0.130022 | − | 0.991511i | \(-0.541505\pi\) |
−0.856262 | + | 0.516542i | \(0.827219\pi\) | |||||||
\(854\) | −12675.5 | − | 2403.84i | −0.507901 | − | 0.0963206i | ||||
\(855\) | 84092.4 | − | 40496.8i | 3.36362 | − | 1.61984i | ||||
\(856\) | −5916.29 | − | 4033.66i | −0.236232 | − | 0.161060i | ||||
\(857\) | 18526.9 | + | 17190.5i | 0.738469 | + | 0.685199i | 0.956823 | − | 0.290671i | \(-0.0938784\pi\) |
−0.218354 | + | 0.975870i | \(0.570069\pi\) | |||||||
\(858\) | 377.333 | + | 350.114i | 0.0150139 | + | 0.0139309i | ||||
\(859\) | −1465.15 | − | 998.923i | −0.0581960 | − | 0.0396773i | 0.533873 | − | 0.845565i | \(-0.320736\pi\) |
−0.592069 | + | 0.805888i | \(0.701689\pi\) | |||||||
\(860\) | −19063.5 | + | 9180.48i | −0.755883 | + | 0.364014i | ||||
\(861\) | 433.435 | + | 82.1986i | 0.0171561 | + | 0.00325357i | ||||
\(862\) | 14706.9 | + | 7082.49i | 0.581114 | + | 0.279850i | ||||
\(863\) | 1114.71 | + | 1930.73i | 0.0439687 | + | 0.0761561i | 0.887172 | − | 0.461438i | \(-0.152666\pi\) |
−0.843204 | + | 0.537594i | \(0.819333\pi\) | |||||||
\(864\) | −439.486 | + | 761.213i | −0.0173051 | + | 0.0299734i | ||||
\(865\) | 42488.2 | − | 28968.0i | 1.67011 | − | 1.13866i | ||||
\(866\) | 5442.22 | + | 820.282i | 0.213550 | + | 0.0321874i | ||||
\(867\) | 278.646 | − | 1220.83i | 0.0109150 | − | 0.0478218i | ||||
\(868\) | −11718.6 | − | 443.401i | −0.458244 | − | 0.0173387i | ||||
\(869\) | 2938.52 | + | 12874.5i | 0.114709 | + | 0.502574i | ||||
\(870\) | −326.811 | − | 4360.99i | −0.0127356 | − | 0.169944i | ||||
\(871\) | −6918.24 | − | 2133.99i | −0.269134 | − | 0.0830168i | ||||
\(872\) | 193.224 | + | 492.328i | 0.00750390 | + | 0.0191196i | ||||
\(873\) | −43684.3 | + | 13474.8i | −1.69357 | + | 0.522398i | ||||
\(874\) | −18647.1 | − | 23382.7i | −0.721678 | − | 0.904956i | ||||
\(875\) | −45866.2 | + | 72927.8i | −1.77207 | + | 2.81761i | ||||
\(876\) | −1139.75 | + | 1429.20i | −0.0439595 | + | 0.0551235i | ||||
\(877\) | 4279.69 | − | 10904.5i | 0.164783 | − | 0.419861i | −0.824502 | − | 0.565860i | \(-0.808544\pi\) |
0.989285 | + | 0.145999i | \(0.0466396\pi\) | |||||||
\(878\) | −1901.20 | + | 25369.7i | −0.0730779 | + | 0.975156i | ||||
\(879\) | −85.2219 | + | 12.8451i | −0.00327015 | + | 0.000492896i | ||||
\(880\) | 4842.54 | − | 4493.22i | 0.185502 | − | 0.172121i | ||||
\(881\) | 34914.7 | 1.33520 | 0.667598 | − | 0.744522i | \(-0.267323\pi\) | ||||
0.667598 | + | 0.744522i | \(0.267323\pi\) | |||||||
\(882\) | 10320.1 | + | 15164.2i | 0.393988 | + | 0.578916i | ||||
\(883\) | −44700.7 | −1.70362 | −0.851811 | − | 0.523850i | \(-0.824495\pi\) | ||||
−0.851811 | + | 0.523850i | \(0.824495\pi\) | |||||||
\(884\) | −3829.49 | + | 3553.25i | −0.145701 | + | 0.135191i | ||||
\(885\) | −5875.10 | + | 885.529i | −0.223152 | + | 0.0336347i | ||||
\(886\) | −357.169 | + | 4766.09i | −0.0135432 | + | 0.180722i | ||||
\(887\) | 14983.2 | − | 38176.6i | 0.567178 | − | 1.44515i | −0.303279 | − | 0.952902i | \(-0.598081\pi\) |
0.870457 | − | 0.492245i | \(-0.163823\pi\) | |||||||
\(888\) | −55.4489 | + | 69.5307i | −0.00209543 | + | 0.00262759i | ||||
\(889\) | −8806.00 | + | 988.458i | −0.332220 | + | 0.0372911i | ||||
\(890\) | −19333.4 | − | 24243.4i | −0.728155 | − | 0.913078i | ||||
\(891\) | 12943.7 | − | 3992.60i | 0.486678 | − | 0.150120i | ||||
\(892\) | 6806.22 | + | 17342.0i | 0.255481 | + | 0.650955i | ||||
\(893\) | 19986.2 | + | 6164.91i | 0.748949 | + | 0.231020i | ||||
\(894\) | 239.874 | + | 3200.90i | 0.00897381 | + | 0.119747i | ||||
\(895\) | −7372.73 | − | 32302.0i | −0.275355 | − | 1.20641i | ||||
\(896\) | −2095.41 | − | 1108.58i | −0.0781282 | − | 0.0413339i | ||||
\(897\) | 276.667 | − | 1212.16i | 0.0102984 | − | 0.0451201i | ||||
\(898\) | 10951.1 | + | 1650.61i | 0.406951 | + | 0.0613381i | ||||
\(899\) | −25931.0 | + | 17679.5i | −0.962011 | + | 0.655888i | ||||
\(900\) | 18213.6 | − | 31546.9i | 0.674579 | − | 1.16841i | ||||
\(901\) | 8094.76 | + | 14020.5i | 0.299307 | + | 0.518415i | ||||
\(902\) | 1606.83 | + | 773.809i | 0.0593144 | + | 0.0285643i | ||||
\(903\) | 85.8010 | + | 2319.11i | 0.00316199 | + | 0.0854651i | ||||
\(904\) | −8539.13 | + | 4112.23i | −0.314167 | + | 0.151295i | ||||
\(905\) | −43516.5 | − | 29669.1i | −1.59838 | − | 1.08976i | ||||
\(906\) | −1923.37 | − | 1784.62i | −0.0705293 | − | 0.0654416i | ||||
\(907\) | 15633.7 | + | 14506.0i | 0.572337 | + | 0.531051i | 0.912372 | − | 0.409362i | \(-0.134249\pi\) |
−0.340035 | + | 0.940413i | \(0.610439\pi\) | |||||||
\(908\) | −5138.41 | − | 3503.31i | −0.187802 | − | 0.128041i | ||||
\(909\) | 4330.51 | − | 2085.46i | 0.158013 | − | 0.0760951i | ||||
\(910\) | −8418.60 | + | 19273.6i | −0.306675 | + | 0.702102i | ||||
\(911\) | 4450.96 | + | 2143.47i | 0.161874 | + | 0.0779543i | 0.513066 | − | 0.858349i | \(-0.328509\pi\) |
−0.351193 | + | 0.936303i | \(0.614224\pi\) | |||||||
\(912\) | 661.507 | + | 1145.76i | 0.0240183 | + | 0.0416009i | ||||
\(913\) | −7707.65 | + | 13350.0i | −0.279393 | + | 0.483923i | ||||
\(914\) | 23718.2 | − | 16170.8i | 0.858345 | − | 0.585210i | ||||
\(915\) | 3798.58 | + | 572.543i | 0.137243 | + | 0.0206860i | ||||
\(916\) | 3692.13 | − | 16176.3i | 0.133178 | − | 0.583493i | ||||
\(917\) | −17750.1 | + | 7735.45i | −0.639216 | + | 0.278568i | ||||
\(918\) | −606.693 | − | 2658.10i | −0.0218125 | − | 0.0955668i | ||||
\(919\) | 4107.23 | + | 54807.2i | 0.147427 | + | 1.96727i | 0.237655 | + | 0.971350i | \(0.423621\pi\) |
−0.0902282 | + | 0.995921i | \(0.528760\pi\) | |||||||
\(920\) | −15247.5 | − | 4703.23i | −0.546408 | − | 0.168544i | ||||
\(921\) | 23.6481 | + | 60.2545i | 0.000846072 | + | 0.00215576i | ||||
\(922\) | −5177.72 | + | 1597.12i | −0.184945 | + | 0.0570480i | ||||
\(923\) | 10519.7 | + | 13191.2i | 0.375145 | + | 0.470417i | ||||
\(924\) | −239.015 | − | 683.984i | −0.00850974 | − | 0.0243522i | ||||
\(925\) | 4618.39 | − | 5791.28i | 0.164164 | − | 0.205855i | ||||
\(926\) | −4702.53 | + | 11981.9i | −0.166884 | + | 0.425214i | ||||
\(927\) | 2179.15 | − | 29078.7i | 0.0772088 | − | 1.03028i | ||||
\(928\) | −6273.44 | + | 945.569i | −0.221914 | + | 0.0334481i | ||||
\(929\) | 7167.81 | − | 6650.76i | 0.253141 | − | 0.234881i | −0.543387 | − | 0.839483i | \(-0.682858\pi\) |
0.796528 | + | 0.604602i | \(0.206668\pi\) | |||||||
\(930\) | 3491.79 | 0.123118 | ||||||||
\(931\) | 55336.5 | − | 4100.23i | 1.94799 | − | 0.144339i | ||||
\(932\) | −5016.99 | −0.176327 | ||||||||
\(933\) | −224.043 | + | 207.881i | −0.00786156 | + | 0.00729446i | ||||
\(934\) | 5219.23 | − | 786.672i | 0.182846 | − | 0.0275596i | ||||
\(935\) | −1531.29 | + | 20433.6i | −0.0535599 | + | 0.714707i | ||||
\(936\) | 2056.52 | − | 5239.92i | 0.0718156 | − | 0.182983i | ||||
\(937\) | −16069.2 | + | 20150.2i | −0.560255 | + | 0.702538i | −0.978605 | − | 0.205748i | \(-0.934037\pi\) |
0.418350 | + | 0.908286i | \(0.362609\pi\) | |||||||
\(938\) | 7202.91 | + | 7208.96i | 0.250729 | + | 0.250939i | ||||
\(939\) | 2228.32 | + | 2794.22i | 0.0774425 | + | 0.0971098i | ||||
\(940\) | 10663.1 | − | 3289.12i | 0.369991 | − | 0.114127i | ||||
\(941\) | 4202.99 | + | 10709.0i | 0.145604 | + | 0.370994i | 0.985007 | − | 0.172517i | \(-0.0551900\pi\) |
−0.839402 | + | 0.543511i | \(0.817095\pi\) | |||||||
\(942\) | 1225.25 | + | 377.939i | 0.0423787 | + | 0.0130721i | ||||
\(943\) | −321.923 | − | 4295.76i | −0.0111169 | − | 0.148345i | ||||
\(944\) | 1917.99 | + | 8403.27i | 0.0661285 | + | 0.289728i | ||||
\(945\) | −6514.49 | − | 8834.57i | −0.224250 | − | 0.304115i | ||||
\(946\) | −2087.63 | + | 9146.49i | −0.0717490 | + | 0.314353i | ||||
\(947\) | 37875.6 | + | 5708.82i | 1.29967 | + | 0.195894i | 0.762175 | − | 0.647371i | \(-0.224131\pi\) |
0.537498 | + | 0.843265i | \(0.319370\pi\) | |||||||
\(948\) | −1165.85 | + | 794.861i | −0.0399420 | + | 0.0272320i | ||||
\(949\) | 11764.0 | − | 20375.8i | 0.402398 | − | 0.696973i | ||||
\(950\) | −55097.5 | − | 95431.7i | −1.88168 | − | 3.25917i | ||||
\(951\) | 3684.63 | + | 1774.43i | 0.125639 | + | 0.0605044i | ||||
\(952\) | 7103.50 | − | 1900.19i | 0.241834 | − | 0.0646905i | ||||
\(953\) | 16724.5 | − | 8054.08i | 0.568477 | − | 0.273764i | −0.127487 | − | 0.991840i | \(-0.540691\pi\) |
0.695965 | + | 0.718076i | \(0.254977\pi\) | |||||||
\(954\) | −14413.4 | − | 9826.91i | −0.489153 | − | 0.333499i | ||||
\(955\) | −38275.7 | − | 35514.6i | −1.29693 | − | 1.20338i | ||||
\(956\) | −5445.10 | − | 5052.31i | −0.184212 | − | 0.170924i | ||||
\(957\) | −1602.13 | − | 1092.31i | −0.0541164 | − | 0.0368959i | ||||
\(958\) | 3292.16 | − | 1585.42i | 0.111028 | − | 0.0534683i | ||||
\(959\) | 43276.1 | + | 31967.2i | 1.45720 | + | 1.07641i | ||||
\(960\) | 635.956 | + | 306.260i | 0.0213806 | + | 0.0102964i | ||||
\(961\) | 2366.10 | + | 4098.21i | 0.0794234 | + | 0.137565i | ||||
\(962\) | 572.320 | − | 991.288i | 0.0191812 | − | 0.0332229i | ||||
\(963\) | −19774.3 | + | 13481.9i | −0.661699 | + | 0.451139i | ||||
\(964\) | 14097.2 | + | 2124.80i | 0.470994 | + | 0.0709910i | ||||
\(965\) | −3198.16 | + | 14012.0i | −0.106686 | + | 0.467423i | ||||
\(966\) | −1142.12 | + | 1326.04i | −0.0380404 | + | 0.0441663i | ||||
\(967\) | 6105.83 | + | 26751.4i | 0.203051 | + | 0.889624i | 0.969066 | + | 0.246801i | \(0.0793795\pi\) |
−0.766015 | + | 0.642822i | \(0.777763\pi\) | |||||||
\(968\) | 576.837 | + | 7697.36i | 0.0191531 | + | 0.255581i | ||||
\(969\) | −3921.49 | − | 1209.62i | −0.130007 | − | 0.0401017i | ||||
\(970\) | 26955.6 | + | 68681.7i | 0.892259 | + | 2.27344i | ||||
\(971\) | 6826.81 | − | 2105.79i | 0.225626 | − | 0.0695964i | −0.179881 | − | 0.983688i | \(-0.557571\pi\) |
0.405507 | + | 0.914092i | \(0.367095\pi\) | |||||||
\(972\) | 2752.01 | + | 3450.91i | 0.0908136 | + | 0.113877i | ||||
\(973\) | 28265.9 | + | 9903.98i | 0.931309 | + | 0.326317i | ||||
\(974\) | 22660.3 | − | 28415.1i | 0.745466 | − | 0.934784i | ||||
\(975\) | 1673.65 | − | 4264.40i | 0.0549742 | − | 0.140072i | ||||
\(976\) | 416.463 | − | 5557.32i | 0.0136585 | − | 0.182260i | ||||
\(977\) | −39002.6 | + | 5878.69i | −1.27718 | + | 0.192504i | −0.752384 | − | 0.658725i | \(-0.771096\pi\) |
−0.524795 | + | 0.851229i | \(0.675858\pi\) | |||||||
\(978\) | −554.155 | + | 514.181i | −0.0181185 | + | 0.0168115i | ||||
\(979\) | −13748.9 | −0.448844 | ||||||||
\(980\) | 23161.0 | − | 18438.5i | 0.754950 | − | 0.601017i | ||||
\(981\) | 1767.72 | 0.0575322 | ||||||||
\(982\) | 7600.77 | − | 7052.48i | 0.246996 | − | 0.229179i | ||||
\(983\) | −59091.9 | + | 8906.67i | −1.91733 | + | 0.288992i | −0.995199 | − | 0.0978763i | \(-0.968795\pi\) |
−0.922135 | + | 0.386868i | \(0.873557\pi\) | |||||||
\(984\) | −14.2408 | + | 190.030i | −0.000461362 | + | 0.00615645i | ||||
\(985\) | 11597.0 | − | 29548.6i | 0.375137 | − | 0.955834i | ||||
\(986\) | 12269.8 | − | 15385.8i | 0.396297 | − | 0.496941i | ||||
\(987\) | 137.543 | − | 1216.14i | 0.00443570 | − | 0.0392201i | ||||
\(988\) | −10616.9 | − | 13313.2i | −0.341872 | − | 0.428694i | ||||
\(989\) | 21654.2 | − | 6679.43i | 0.696221 | − | 0.214756i | ||||
\(990\) | −8066.55 | − | 20553.2i | −0.258962 | − | 0.659823i | ||||
\(991\) | 44472.8 | + | 13718.0i | 1.42555 | + | 0.439725i | 0.909096 | − | 0.416588i | \(-0.136774\pi\) |
0.516458 | + | 0.856313i | \(0.327250\pi\) | |||||||
\(992\) | −378.552 | − | 5051.43i | −0.0121160 | − | 0.161676i | ||||
\(993\) | 347.144 | + | 1520.94i | 0.0110939 | + | 0.0486057i | ||||
\(994\) | −4405.43 | − | 23336.8i | −0.140575 | − | 0.744668i | ||||
\(995\) | 18429.1 | − | 80743.1i | 0.587177 | − | 2.57259i | ||||
\(996\) | −1628.74 | − | 245.494i | −0.0518160 | − | 0.00781000i | ||||
\(997\) | −32964.6 | + | 22474.9i | −1.04714 | + | 0.713928i | −0.959352 | − | 0.282211i | \(-0.908932\pi\) |
−0.0877878 | + | 0.996139i | \(0.527980\pi\) | |||||||
\(998\) | 5460.80 | − | 9458.38i | 0.173205 | − | 0.300000i | ||||
\(999\) | 298.697 | + | 517.359i | 0.00945982 | + | 0.0163849i |
(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 | 98.4.g.a.11.4 | yes | 84 | |
49.9 | even | 21 | inner | 98.4.g.a.9.4 | ✓ | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.4.g.a.9.4 | ✓ | 84 | 49.9 | even | 21 | inner | |
98.4.g.a.11.4 | yes | 84 | 1.1 | even | 1 | trivial |