Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,4,Mod(5,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.g (of order \(22\), degree \(10\), 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: | \(4.07113179040\) |
Analytic rank: | \(0\) |
Dimension: | \(220\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.6 | ||
Character | \(\chi\) | \(=\) | 69.5 |
Dual form | 69.4.g.a.14.6 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.978191 | + | 3.33141i | −0.345843 | + | 1.17783i | 0.584578 | + | 0.811338i | \(0.301260\pi\) |
−0.930420 | + | 0.366494i | \(0.880558\pi\) | |||||||
\(3\) | −4.71623 | − | 2.18110i | −0.907639 | − | 0.419752i | ||||
\(4\) | −3.41142 | − | 2.19239i | −0.426427 | − | 0.274048i | ||||
\(5\) | 1.70238 | − | 11.8403i | 0.152266 | − | 1.05903i | −0.760144 | − | 0.649755i | \(-0.774872\pi\) |
0.912410 | − | 0.409278i | \(-0.134219\pi\) | |||||||
\(6\) | 11.8795 | − | 13.5782i | 0.808298 | − | 0.923878i | ||||
\(7\) | 22.3835 | − | 10.2222i | 1.20860 | − | 0.551947i | 0.293801 | − | 0.955867i | \(-0.405080\pi\) |
0.914794 | + | 0.403920i | \(0.132352\pi\) | |||||||
\(8\) | −10.3513 | + | 8.96943i | −0.457466 | + | 0.396396i | ||||
\(9\) | 17.4856 | + | 20.5731i | 0.647616 | + | 0.761967i | ||||
\(10\) | 37.7798 | + | 17.2535i | 1.19470 | + | 0.545602i | ||||
\(11\) | 9.56696 | − | 2.80911i | 0.262232 | − | 0.0769982i | −0.147974 | − | 0.988991i | \(-0.547275\pi\) |
0.410206 | + | 0.911993i | \(0.365457\pi\) | |||||||
\(12\) | 11.3072 | + | 17.7804i | 0.272010 | + | 0.427731i | ||||
\(13\) | 9.77807 | − | 21.4110i | 0.208612 | − | 0.456795i | −0.776185 | − | 0.630505i | \(-0.782848\pi\) |
0.984797 | + | 0.173709i | \(0.0555753\pi\) | |||||||
\(14\) | 12.1590 | + | 84.5679i | 0.232117 | + | 1.61441i | ||||
\(15\) | −33.8538 | + | 52.1287i | −0.582734 | + | 0.897305i | ||||
\(16\) | −33.2319 | − | 72.7678i | −0.519249 | − | 1.13700i | ||||
\(17\) | 82.6502 | − | 53.1160i | 1.17915 | − | 0.757796i | 0.203923 | − | 0.978987i | \(-0.434631\pi\) |
0.975231 | + | 0.221191i | \(0.0709944\pi\) | |||||||
\(18\) | −85.6418 | + | 38.1274i | −1.12144 | + | 0.499262i | ||||
\(19\) | 33.7207 | − | 52.4704i | 0.407161 | − | 0.633555i | −0.575752 | − | 0.817624i | \(-0.695291\pi\) |
0.982913 | + | 0.184070i | \(0.0589272\pi\) | |||||||
\(20\) | −31.7662 | + | 36.6601i | −0.355156 | + | 0.409872i | ||||
\(21\) | −127.861 | − | 0.610347i | −1.32865 | − | 0.00634232i | ||||
\(22\) | 34.6193i | 0.335494i | ||||||||
\(23\) | 61.2459 | + | 91.7384i | 0.555246 | + | 0.831686i | ||||
\(24\) | 68.3821 | − | 19.7247i | 0.581602 | − | 0.167762i | ||||
\(25\) | −17.3590 | − | 5.09707i | −0.138872 | − | 0.0407766i | ||||
\(26\) | 61.7640 | + | 53.5188i | 0.465882 | + | 0.403689i | ||||
\(27\) | −37.5943 | − | 135.165i | −0.267964 | − | 0.963429i | ||||
\(28\) | −98.7705 | − | 14.2011i | −0.666638 | − | 0.0958481i | ||||
\(29\) | −88.5160 | − | 137.734i | −0.566793 | − | 0.881947i | 0.433018 | − | 0.901385i | \(-0.357449\pi\) |
−0.999811 | + | 0.0194380i | \(0.993812\pi\) | |||||||
\(30\) | −140.547 | − | 163.773i | −0.855340 | − | 0.996689i | ||||
\(31\) | −98.0439 | − | 113.149i | −0.568039 | − | 0.655552i | 0.396951 | − | 0.917840i | \(-0.370068\pi\) |
−0.964990 | + | 0.262288i | \(0.915523\pi\) | |||||||
\(32\) | 166.468 | − | 23.9345i | 0.919617 | − | 0.132221i | ||||
\(33\) | −51.2469 | − | 7.61805i | −0.270332 | − | 0.0401859i | ||||
\(34\) | 96.1038 | + | 327.299i | 0.484755 | + | 1.65092i | ||||
\(35\) | −82.9291 | − | 282.430i | −0.400502 | − | 1.36398i | ||||
\(36\) | −14.5466 | − | 108.519i | −0.0673455 | − | 0.502402i | ||||
\(37\) | −318.164 | + | 45.7450i | −1.41367 | + | 0.203255i | −0.806461 | − | 0.591287i | \(-0.798620\pi\) |
−0.607209 | + | 0.794542i | \(0.707711\pi\) | |||||||
\(38\) | 141.815 | + | 163.664i | 0.605407 | + | 0.698677i | ||||
\(39\) | −92.8151 | + | 79.6522i | −0.381085 | + | 0.327040i | ||||
\(40\) | 88.5793 | + | 137.832i | 0.350140 | + | 0.544829i | ||||
\(41\) | 9.23988 | + | 1.32849i | 0.0351958 | + | 0.00506039i | 0.159890 | − | 0.987135i | \(-0.448886\pi\) |
−0.124694 | + | 0.992195i | \(0.539795\pi\) | |||||||
\(42\) | 127.106 | − | 425.362i | 0.466974 | − | 1.56273i | ||||
\(43\) | 168.296 | + | 145.829i | 0.596859 | + | 0.517181i | 0.900072 | − | 0.435742i | \(-0.143514\pi\) |
−0.303213 | + | 0.952923i | \(0.598059\pi\) | |||||||
\(44\) | −38.7956 | − | 11.3914i | −0.132924 | − | 0.0390300i | ||||
\(45\) | 273.360 | − | 172.013i | 0.905558 | − | 0.569825i | ||||
\(46\) | −365.529 | + | 114.298i | −1.17161 | + | 0.366354i | ||||
\(47\) | 632.882i | 1.96416i | 0.188477 | + | 0.982078i | \(0.439645\pi\) | ||||
−0.188477 | + | 0.982078i | \(0.560355\pi\) | |||||||
\(48\) | −1.98421 | + | 415.672i | −0.00596659 | + | 1.24994i | ||||
\(49\) | 171.910 | − | 198.395i | 0.501196 | − | 0.578412i | ||||
\(50\) | 33.9609 | − | 52.8442i | 0.0960559 | − | 0.149466i | ||||
\(51\) | −505.648 | + | 70.2393i | −1.38833 | + | 0.192852i | ||||
\(52\) | −80.2983 | + | 51.6046i | −0.214142 | + | 0.137620i | ||||
\(53\) | 21.0505 | + | 46.0942i | 0.0545568 | + | 0.119463i | 0.934947 | − | 0.354787i | \(-0.115447\pi\) |
−0.880390 | + | 0.474250i | \(0.842719\pi\) | |||||||
\(54\) | 487.066 | + | 6.97546i | 1.22743 | + | 0.0175785i | ||||
\(55\) | −16.9742 | − | 118.058i | −0.0416146 | − | 0.289436i | ||||
\(56\) | −140.010 | + | 306.580i | −0.334101 | + | 0.731580i | ||||
\(57\) | −273.478 | + | 173.914i | −0.635491 | + | 0.404132i | ||||
\(58\) | 545.433 | − | 160.153i | 1.23481 | − | 0.362572i | ||||
\(59\) | 11.8521 | + | 5.41266i | 0.0261527 | + | 0.0119435i | 0.428448 | − | 0.903566i | \(-0.359060\pi\) |
−0.402296 | + | 0.915510i | \(0.631788\pi\) | |||||||
\(60\) | 229.776 | − | 103.612i | 0.494399 | − | 0.222938i | ||||
\(61\) | 482.194 | − | 417.823i | 1.01211 | − | 0.876997i | 0.0196777 | − | 0.999806i | \(-0.493736\pi\) |
0.992430 | + | 0.122810i | \(0.0391905\pi\) | |||||||
\(62\) | 472.850 | − | 215.944i | 0.968582 | − | 0.442336i | ||||
\(63\) | 601.692 | + | 281.757i | 1.20327 | + | 0.563460i | ||||
\(64\) | 7.97599 | − | 55.4742i | 0.0155781 | − | 0.108348i | ||||
\(65\) | −236.868 | − | 152.226i | −0.451997 | − | 0.290481i | ||||
\(66\) | 75.5082 | − | 163.273i | 0.140824 | − | 0.304507i | ||||
\(67\) | −278.055 | + | 946.968i | −0.507012 | + | 1.72673i | 0.165101 | + | 0.986277i | \(0.447205\pi\) |
−0.672113 | + | 0.740448i | \(0.734613\pi\) | |||||||
\(68\) | −398.405 | −0.710496 | ||||||||
\(69\) | −88.7593 | − | 566.243i | −0.154860 | − | 0.987936i | ||||
\(70\) | 1022.01 | 1.74506 | ||||||||
\(71\) | 95.3985 | − | 324.898i | 0.159461 | − | 0.543074i | −0.840538 | − | 0.541752i | \(-0.817761\pi\) |
0.999999 | − | 0.00132166i | \(-0.000420697\pi\) | |||||||
\(72\) | −365.527 | − | 56.1217i | −0.598303 | − | 0.0918612i | ||||
\(73\) | −712.460 | − | 457.870i | −1.14229 | − | 0.734105i | −0.174201 | − | 0.984710i | \(-0.555734\pi\) |
−0.968089 | + | 0.250605i | \(0.919371\pi\) | |||||||
\(74\) | 158.829 | − | 1104.68i | 0.249507 | − | 1.73536i | ||||
\(75\) | 70.7520 | + | 61.9007i | 0.108930 | + | 0.0953024i | ||||
\(76\) | −230.071 | + | 105.070i | −0.347249 | + | 0.158583i | ||||
\(77\) | 185.427 | − | 160.673i | 0.274433 | − | 0.237798i | ||||
\(78\) | −174.563 | − | 387.120i | −0.253403 | − | 0.561958i | ||||
\(79\) | 614.352 | + | 280.565i | 0.874937 | + | 0.399570i | 0.801688 | − | 0.597743i | \(-0.203936\pi\) |
0.0732496 | + | 0.997314i | \(0.476663\pi\) | |||||||
\(80\) | −918.169 | + | 269.599i | −1.28318 | + | 0.376776i | ||||
\(81\) | −117.506 | + | 719.467i | −0.161187 | + | 0.986924i | ||||
\(82\) | −13.4641 | + | 29.4823i | −0.0181325 | + | 0.0397046i | ||||
\(83\) | 66.4679 | + | 462.294i | 0.0879012 | + | 0.611366i | 0.985388 | + | 0.170325i | \(0.0544817\pi\) |
−0.897487 | + | 0.441041i | \(0.854609\pi\) | |||||||
\(84\) | 434.850 | + | 282.404i | 0.564834 | + | 0.366818i | ||||
\(85\) | −488.210 | − | 1069.03i | −0.622986 | − | 1.36415i | ||||
\(86\) | −650.444 | + | 418.015i | −0.815571 | + | 0.524136i | ||||
\(87\) | 117.051 | + | 842.645i | 0.144244 | + | 1.03840i | ||||
\(88\) | −73.8341 | + | 114.888i | −0.0894402 | + | 0.139172i | ||||
\(89\) | 412.762 | − | 476.353i | 0.491603 | − | 0.567340i | −0.454690 | − | 0.890650i | \(-0.650250\pi\) |
0.946293 | + | 0.323309i | \(0.104795\pi\) | |||||||
\(90\) | 305.646 | + | 1078.94i | 0.357977 | + | 1.26366i | ||||
\(91\) | − | 579.206i | − | 0.667223i | ||||||
\(92\) | −7.80942 | − | 447.233i | −0.00884988 | − | 0.506818i | ||||
\(93\) | 215.609 | + | 747.478i | 0.240405 | + | 0.833439i | ||||
\(94\) | −2108.39 | − | 619.079i | −2.31344 | − | 0.679289i | ||||
\(95\) | −563.862 | − | 488.589i | −0.608958 | − | 0.527665i | ||||
\(96\) | −837.307 | − | 250.203i | −0.890180 | − | 0.266002i | ||||
\(97\) | 217.583 | + | 31.2837i | 0.227755 | + | 0.0327462i | 0.255247 | − | 0.966876i | \(-0.417843\pi\) |
−0.0274926 | + | 0.999622i | \(0.508752\pi\) | |||||||
\(98\) | 492.775 | + | 766.773i | 0.507936 | + | 0.790365i | ||||
\(99\) | 225.077 | + | 147.703i | 0.228495 | + | 0.149947i | ||||
\(100\) | 48.0442 | + | 55.4460i | 0.0480442 | + | 0.0554460i | ||||
\(101\) | −991.562 | + | 142.565i | −0.976873 | + | 0.140453i | −0.612217 | − | 0.790689i | \(-0.709722\pi\) |
−0.364655 | + | 0.931143i | \(0.618813\pi\) | |||||||
\(102\) | 260.624 | − | 1753.23i | 0.252997 | − | 1.70192i | ||||
\(103\) | 439.926 | + | 1498.25i | 0.420847 | + | 1.43327i | 0.848435 | + | 0.529299i | \(0.177545\pi\) |
−0.427588 | + | 0.903974i | \(0.640637\pi\) | |||||||
\(104\) | 90.8289 | + | 309.335i | 0.0856394 | + | 0.291661i | ||||
\(105\) | −224.896 | + | 1512.88i | −0.209025 | + | 1.40612i | ||||
\(106\) | −174.150 | + | 25.0390i | −0.159575 | + | 0.0229434i | ||||
\(107\) | −724.025 | − | 835.570i | −0.654151 | − | 0.754931i | 0.327659 | − | 0.944796i | \(-0.393740\pi\) |
−0.981810 | + | 0.189865i | \(0.939195\pi\) | |||||||
\(108\) | −168.085 | + | 543.527i | −0.149759 | + | 0.484268i | ||||
\(109\) | 416.205 | + | 647.627i | 0.365736 | + | 0.569096i | 0.974537 | − | 0.224227i | \(-0.0719857\pi\) |
−0.608801 | + | 0.793323i | \(0.708349\pi\) | |||||||
\(110\) | 409.905 | + | 58.9354i | 0.355299 | + | 0.0510843i | ||||
\(111\) | 1600.31 | + | 478.202i | 1.36842 | + | 0.408909i | ||||
\(112\) | −1487.69 | − | 1289.09i | −1.25512 | − | 1.08757i | ||||
\(113\) | −748.628 | − | 219.817i | −0.623230 | − | 0.182997i | −0.0451543 | − | 0.998980i | \(-0.514378\pi\) |
−0.578076 | + | 0.815983i | \(0.696196\pi\) | |||||||
\(114\) | −311.867 | − | 1081.19i | −0.256220 | − | 0.888268i | ||||
\(115\) | 1190.48 | − | 568.999i | 0.965328 | − | 0.461386i | ||||
\(116\) | 663.928i | 0.531415i | ||||||||
\(117\) | 611.466 | − | 173.219i | 0.483163 | − | 0.136873i | ||||
\(118\) | −29.6254 | + | 34.1895i | −0.0231122 | + | 0.0266729i | ||||
\(119\) | 1307.04 | − | 2033.79i | 1.00686 | − | 1.56670i | ||||
\(120\) | −117.135 | − | 843.247i | −0.0891076 | − | 0.641480i | ||||
\(121\) | −1036.07 | + | 665.844i | −0.778417 | + | 0.500258i | ||||
\(122\) | 920.264 | + | 2015.10i | 0.682924 | + | 1.49540i | ||||
\(123\) | −40.6798 | − | 26.4186i | −0.0298210 | − | 0.0193665i | ||||
\(124\) | 86.4032 | + | 600.947i | 0.0625745 | + | 0.435215i | ||||
\(125\) | 531.252 | − | 1163.28i | 0.380133 | − | 0.832375i | ||||
\(126\) | −1527.22 | + | 1728.87i | −1.07980 | + | 1.22238i | ||||
\(127\) | 2434.92 | − | 714.957i | 1.70129 | − | 0.499545i | 0.720312 | − | 0.693650i | \(-0.243999\pi\) |
0.980981 | + | 0.194105i | \(0.0621804\pi\) | |||||||
\(128\) | 1400.86 | + | 639.752i | 0.967343 | + | 0.441771i | ||||
\(129\) | −475.655 | − | 1054.84i | −0.324644 | − | 0.719946i | ||||
\(130\) | 738.827 | − | 640.198i | 0.498457 | − | 0.431916i | ||||
\(131\) | −1753.91 | + | 800.984i | −1.16977 | + | 0.534216i | −0.903041 | − | 0.429555i | \(-0.858670\pi\) |
−0.266730 | + | 0.963771i | \(0.585943\pi\) | |||||||
\(132\) | 158.123 | + | 138.341i | 0.104264 | + | 0.0912203i | ||||
\(133\) | 218.424 | − | 1519.17i | 0.142404 | − | 0.990442i | ||||
\(134\) | −2882.75 | − | 1852.63i | −1.85845 | − | 1.19435i | ||||
\(135\) | −1664.40 | + | 215.026i | −1.06110 | + | 0.137085i | ||||
\(136\) | −379.114 | + | 1291.14i | −0.239035 | + | 0.814078i | ||||
\(137\) | −693.684 | −0.432595 | −0.216297 | − | 0.976328i | \(-0.569398\pi\) | ||||
−0.216297 | + | 0.976328i | \(0.569398\pi\) | |||||||
\(138\) | 1973.21 | + | 258.200i | 1.21718 | + | 0.159271i | ||||
\(139\) | 823.043 | 0.502227 | 0.251114 | − | 0.967958i | \(-0.419203\pi\) | ||||
0.251114 | + | 0.967958i | \(0.419203\pi\) | |||||||
\(140\) | −336.291 | + | 1145.30i | −0.203013 | + | 0.691397i | ||||
\(141\) | 1380.38 | − | 2984.82i | 0.824459 | − | 1.78274i | ||||
\(142\) | 989.050 | + | 635.624i | 0.584501 | + | 0.375636i | ||||
\(143\) | 33.4006 | − | 232.306i | 0.0195321 | − | 0.135849i | ||||
\(144\) | 915.978 | − | 1956.07i | 0.530080 | − | 1.13199i | ||||
\(145\) | −1781.50 | + | 813.584i | −1.02031 | + | 0.465962i | ||||
\(146\) | 2222.28 | − | 1925.61i | 1.25971 | − | 1.09154i | ||||
\(147\) | −1243.49 | + | 560.724i | −0.697695 | + | 0.314610i | ||||
\(148\) | 1185.68 | + | 541.482i | 0.658529 | + | 0.300740i | ||||
\(149\) | 1652.33 | − | 485.168i | 0.908485 | − | 0.266755i | 0.206082 | − | 0.978535i | \(-0.433929\pi\) |
0.702403 | + | 0.711779i | \(0.252110\pi\) | |||||||
\(150\) | −275.426 | + | 175.153i | −0.149923 | + | 0.0953414i | ||||
\(151\) | −1225.99 | + | 2684.54i | −0.660725 | + | 1.44679i | 0.221119 | + | 0.975247i | \(0.429029\pi\) |
−0.881845 | + | 0.471540i | \(0.843698\pi\) | |||||||
\(152\) | 121.578 | + | 845.590i | 0.0648766 | + | 0.451227i | ||||
\(153\) | 2537.95 | + | 771.604i | 1.34105 | + | 0.407715i | ||||
\(154\) | 353.886 | + | 774.902i | 0.185175 | + | 0.405477i | ||||
\(155\) | −1506.63 | + | 968.251i | −0.780743 | + | 0.501753i | ||||
\(156\) | 491.260 | − | 68.2406i | 0.252130 | − | 0.0350232i | ||||
\(157\) | −326.828 | + | 508.555i | −0.166139 | + | 0.258517i | −0.914333 | − | 0.404963i | \(-0.867285\pi\) |
0.748195 | + | 0.663479i | \(0.230921\pi\) | |||||||
\(158\) | −1535.63 | + | 1772.21i | −0.773218 | + | 0.892341i | ||||
\(159\) | 1.25688 | − | 263.304i | 0.000626902 | − | 0.131329i | ||||
\(160\) | − | 2011.79i | − | 0.994037i | ||||||
\(161\) | 2308.67 | + | 1427.36i | 1.13011 | + | 0.698706i | ||||
\(162\) | −2281.90 | − | 1095.24i | −1.10668 | − | 0.531172i | ||||
\(163\) | 211.924 | + | 62.2266i | 0.101835 | + | 0.0299016i | 0.332253 | − | 0.943190i | \(-0.392191\pi\) |
−0.230418 | + | 0.973092i | \(0.574009\pi\) | |||||||
\(164\) | −28.6085 | − | 24.7894i | −0.0136217 | − | 0.0118032i | ||||
\(165\) | −177.442 | + | 593.813i | −0.0837204 | + | 0.280171i | ||||
\(166\) | −1605.11 | − | 230.780i | −0.750487 | − | 0.107904i | ||||
\(167\) | 1376.15 | + | 2141.33i | 0.637662 | + | 0.992222i | 0.998229 | + | 0.0594883i | \(0.0189469\pi\) |
−0.360567 | + | 0.932733i | \(0.617417\pi\) | |||||||
\(168\) | 1329.00 | − | 1140.52i | 0.610326 | − | 0.523770i | ||||
\(169\) | 1075.91 | + | 1241.67i | 0.489717 | + | 0.565164i | ||||
\(170\) | 4038.94 | − | 580.712i | 1.82219 | − | 0.261992i | ||||
\(171\) | 1669.11 | − | 223.739i | 0.746431 | − | 0.100057i | ||||
\(172\) | −254.414 | − | 866.455i | −0.112784 | − | 0.384108i | ||||
\(173\) | 288.721 | + | 983.293i | 0.126885 | + | 0.432129i | 0.998291 | − | 0.0584318i | \(-0.0186100\pi\) |
−0.871407 | + | 0.490561i | \(0.836792\pi\) | |||||||
\(174\) | −2921.69 | − | 434.321i | −1.27295 | − | 0.189229i | ||||
\(175\) | −440.659 | + | 63.3572i | −0.190347 | + | 0.0273678i | ||||
\(176\) | −522.342 | − | 602.815i | −0.223710 | − | 0.258175i | ||||
\(177\) | −44.0915 | − | 51.3779i | −0.0187239 | − | 0.0218181i | ||||
\(178\) | 1183.17 | + | 1841.04i | 0.498214 | + | 0.775236i | ||||
\(179\) | 100.208 | + | 14.4078i | 0.0418432 | + | 0.00601615i | 0.163205 | − | 0.986592i | \(-0.447817\pi\) |
−0.121361 | + | 0.992608i | \(0.538726\pi\) | |||||||
\(180\) | −1309.66 | − | 12.5037i | −0.542314 | − | 0.00517760i | ||||
\(181\) | −981.553 | − | 850.521i | −0.403084 | − | 0.349275i | 0.429603 | − | 0.903018i | \(-0.358653\pi\) |
−0.832688 | + | 0.553743i | \(0.813199\pi\) | |||||||
\(182\) | 1929.58 | + | 566.574i | 0.785877 | + | 0.230754i | ||||
\(183\) | −3185.45 | + | 918.839i | −1.28675 | + | 0.371161i | ||||
\(184\) | −1456.81 | − | 400.269i | −0.583683 | − | 0.160371i | ||||
\(185\) | 3845.04i | 1.52807i | ||||||||
\(186\) | −2701.06 | − | 12.8936i | −1.06479 | − | 0.00508280i | ||||
\(187\) | 641.502 | − | 740.333i | 0.250863 | − | 0.289511i | ||||
\(188\) | 1387.52 | − | 2159.02i | 0.538273 | − | 0.837570i | ||||
\(189\) | −2223.18 | − | 2641.18i | −0.855622 | − | 1.01649i | ||||
\(190\) | 2179.26 | − | 1400.52i | 0.832105 | − | 0.534761i | ||||
\(191\) | −1116.75 | − | 2445.35i | −0.423065 | − | 0.926383i | −0.994402 | − | 0.105667i | \(-0.966302\pi\) |
0.571337 | − | 0.820716i | \(-0.306425\pi\) | |||||||
\(192\) | −158.611 | + | 244.233i | −0.0596187 | + | 0.0918020i | ||||
\(193\) | −45.5000 | − | 316.460i | −0.0169698 | − | 0.118027i | 0.979576 | − | 0.201075i | \(-0.0644436\pi\) |
−0.996546 | + | 0.0830480i | \(0.973535\pi\) | |||||||
\(194\) | −317.056 | + | 694.257i | −0.117337 | + | 0.256932i | ||||
\(195\) | 785.103 | + | 1234.56i | 0.288320 | + | 0.453378i | ||||
\(196\) | −1021.42 | + | 299.915i | −0.372237 | + | 0.109299i | ||||
\(197\) | 395.903 | + | 180.803i | 0.143182 | + | 0.0653892i | 0.485718 | − | 0.874116i | \(-0.338558\pi\) |
−0.342535 | + | 0.939505i | \(0.611286\pi\) | |||||||
\(198\) | −712.228 | + | 605.341i | −0.255635 | + | 0.217271i | ||||
\(199\) | −2717.96 | + | 2355.13i | −0.968196 | + | 0.838947i | −0.986974 | − | 0.160877i | \(-0.948568\pi\) |
0.0187784 | + | 0.999824i | \(0.494022\pi\) | |||||||
\(200\) | 225.406 | − | 102.939i | 0.0796930 | − | 0.0363946i | ||||
\(201\) | 3376.80 | − | 3859.65i | 1.18498 | − | 1.35442i | ||||
\(202\) | 494.994 | − | 3442.76i | 0.172414 | − | 1.19917i | ||||
\(203\) | −3389.24 | − | 2178.13i | −1.17181 | − | 0.753078i | ||||
\(204\) | 1878.97 | + | 868.961i | 0.644874 | + | 0.298232i | ||||
\(205\) | 31.4597 | − | 107.142i | 0.0107182 | − | 0.0365030i | ||||
\(206\) | −5421.62 | −1.83370 | ||||||||
\(207\) | −816.421 | + | 2864.12i | −0.274131 | + | 0.961692i | ||||
\(208\) | −1882.98 | −0.627696 | ||||||||
\(209\) | 175.209 | − | 596.708i | 0.0579879 | − | 0.197489i | ||||
\(210\) | −4820.05 | − | 2229.11i | −1.58388 | − | 0.732491i | ||||
\(211\) | −3899.59 | − | 2506.12i | −1.27232 | − | 0.817669i | −0.282398 | − | 0.959297i | \(-0.591130\pi\) |
−0.989920 | + | 0.141628i | \(0.954766\pi\) | |||||||
\(212\) | 29.2441 | − | 203.398i | 0.00947404 | − | 0.0658934i | ||||
\(213\) | −1158.55 | + | 1324.22i | −0.372689 | + | 0.425981i | ||||
\(214\) | 3491.86 | − | 1594.68i | 1.11541 | − | 0.509393i | ||||
\(215\) | 2013.18 | − | 1744.43i | 0.638593 | − | 0.553344i | ||||
\(216\) | 1601.50 | + | 1061.93i | 0.504484 | + | 0.334516i | ||||
\(217\) | −3351.19 | − | 1530.44i | −1.04836 | − | 0.478769i | ||||
\(218\) | −2564.64 | + | 753.046i | −0.796786 | + | 0.233957i | ||||
\(219\) | 2361.47 | + | 3713.37i | 0.728644 | + | 1.14578i | ||||
\(220\) | −200.923 | + | 439.961i | −0.0615738 | + | 0.134828i | ||||
\(221\) | −329.108 | − | 2289.00i | −0.100173 | − | 0.696717i | ||||
\(222\) | −3158.49 | + | 4863.51i | −0.954884 | + | 1.47035i | ||||
\(223\) | −197.961 | − | 433.474i | −0.0594459 | − | 0.130168i | 0.877578 | − | 0.479434i | \(-0.159158\pi\) |
−0.937024 | + | 0.349266i | \(0.886431\pi\) | |||||||
\(224\) | 3481.48 | − | 2237.41i | 1.03847 | − | 0.667381i | ||||
\(225\) | −198.671 | − | 446.255i | −0.0588655 | − | 0.132224i | ||||
\(226\) | 1464.60 | − | 2278.96i | 0.431079 | − | 0.670772i | ||||
\(227\) | 739.070 | − | 852.932i | 0.216096 | − | 0.249388i | −0.637344 | − | 0.770580i | \(-0.719967\pi\) |
0.853440 | + | 0.521192i | \(0.174512\pi\) | |||||||
\(228\) | 1314.23 | + | 6.27351i | 0.381742 | + | 0.00182225i | ||||
\(229\) | 282.403i | 0.0814921i | 0.999170 | + | 0.0407461i | \(0.0129735\pi\) | ||||
−0.999170 | + | 0.0407461i | \(0.987027\pi\) | |||||||
\(230\) | 731.053 | + | 4522.56i | 0.209584 | + | 1.29656i | ||||
\(231\) | −1224.96 | + | 353.338i | −0.348902 | + | 0.100640i | ||||
\(232\) | 2151.64 | + | 631.779i | 0.608889 | + | 0.178786i | ||||
\(233\) | 2962.54 | + | 2567.06i | 0.832973 | + | 0.721775i | 0.962932 | − | 0.269744i | \(-0.0869392\pi\) |
−0.129959 | + | 0.991519i | \(0.541485\pi\) | |||||||
\(234\) | −21.0659 | + | 2206.49i | −0.00588512 | + | 0.616422i | ||||
\(235\) | 7493.54 | + | 1077.41i | 2.08010 | + | 0.299074i | ||||
\(236\) | −28.5657 | − | 44.4492i | −0.00787912 | − | 0.0122601i | ||||
\(237\) | −2285.49 | − | 2663.17i | −0.626406 | − | 0.729923i | ||||
\(238\) | 5496.86 | + | 6343.71i | 1.49709 | + | 1.72774i | ||||
\(239\) | −220.186 | + | 31.6579i | −0.0595926 | + | 0.00856812i | −0.172047 | − | 0.985089i | \(-0.555038\pi\) |
0.112454 | + | 0.993657i | \(0.464129\pi\) | |||||||
\(240\) | 4918.32 | + | 731.127i | 1.32282 | + | 0.196642i | ||||
\(241\) | −1904.66 | − | 6486.67i | −0.509086 | − | 1.73379i | −0.665786 | − | 0.746142i | \(-0.731904\pi\) |
0.156700 | − | 0.987646i | \(-0.449914\pi\) | |||||||
\(242\) | −1204.72 | − | 4102.91i | −0.320010 | − | 1.08985i | ||||
\(243\) | 2123.41 | − | 3136.88i | 0.560563 | − | 0.828111i | ||||
\(244\) | −2560.99 | + | 368.215i | −0.671930 | + | 0.0966089i | ||||
\(245\) | −2056.41 | − | 2373.22i | −0.536242 | − | 0.618856i | ||||
\(246\) | 127.804 | − | 109.679i | 0.0331239 | − | 0.0284263i | ||||
\(247\) | −793.720 | − | 1235.05i | −0.204466 | − | 0.318156i | ||||
\(248\) | 2029.76 | + | 291.835i | 0.519717 | + | 0.0747240i | ||||
\(249\) | 694.831 | − | 2325.26i | 0.176840 | − | 0.591796i | ||||
\(250\) | 3355.70 | + | 2907.73i | 0.848931 | + | 0.735603i | ||||
\(251\) | 4377.33 | + | 1285.30i | 1.10078 | + | 0.323217i | 0.781160 | − | 0.624331i | \(-0.214628\pi\) |
0.319615 | + | 0.947547i | \(0.396446\pi\) | |||||||
\(252\) | −1434.90 | − | 2280.33i | −0.358692 | − | 0.570029i | ||||
\(253\) | 843.641 | + | 705.612i | 0.209641 | + | 0.175342i | ||||
\(254\) | 8811.08i | 2.17660i | ||||||||
\(255\) | −29.1500 | + | 6106.63i | −0.00715861 | + | 1.49965i | ||||
\(256\) | −3207.98 | + | 3702.20i | −0.783198 | + | 0.903858i | ||||
\(257\) | −649.154 | + | 1010.10i | −0.157561 | + | 0.245169i | −0.911055 | − | 0.412286i | \(-0.864731\pi\) |
0.753494 | + | 0.657455i | \(0.228367\pi\) | |||||||
\(258\) | 3979.37 | − | 552.772i | 0.960251 | − | 0.133388i | ||||
\(259\) | −6654.00 | + | 4276.27i | −1.59637 | + | 1.02592i | ||||
\(260\) | 474.317 | + | 1038.61i | 0.113138 | + | 0.247738i | ||||
\(261\) | 1285.85 | − | 4229.41i | 0.304950 | − | 1.00304i | ||||
\(262\) | −952.749 | − | 6626.52i | −0.224660 | − | 1.56255i | ||||
\(263\) | 364.936 | − | 799.097i | 0.0855623 | − | 0.187355i | −0.862014 | − | 0.506884i | \(-0.830797\pi\) |
0.947577 | + | 0.319529i | \(0.103525\pi\) | |||||||
\(264\) | 598.801 | − | 380.799i | 0.139597 | − | 0.0887749i | ||||
\(265\) | 581.607 | − | 170.775i | 0.134822 | − | 0.0395873i | ||||
\(266\) | 4847.32 | + | 2213.70i | 1.11733 | + | 0.510265i | ||||
\(267\) | −2985.65 | + | 1346.31i | −0.684340 | + | 0.308588i | ||||
\(268\) | 3024.68 | − | 2620.90i | 0.689410 | − | 0.597377i | ||||
\(269\) | −6864.78 | + | 3135.04i | −1.55596 | + | 0.710583i | −0.993241 | − | 0.116067i | \(-0.962971\pi\) |
−0.562718 | + | 0.826649i | \(0.690244\pi\) | |||||||
\(270\) | 911.765 | − | 5755.15i | 0.205512 | − | 1.29721i | ||||
\(271\) | −1084.12 | + | 7540.25i | −0.243011 | + | 1.69018i | 0.393833 | + | 0.919182i | \(0.371149\pi\) |
−0.636843 | + | 0.770993i | \(0.719760\pi\) | |||||||
\(272\) | −6611.76 | − | 4249.12i | −1.47389 | − | 0.947209i | ||||
\(273\) | −1263.31 | + | 2731.67i | −0.280069 | + | 0.605598i | ||||
\(274\) | 678.556 | − | 2310.95i | 0.149610 | − | 0.509524i | ||||
\(275\) | −180.392 | −0.0395564 | ||||||||
\(276\) | −938.627 | + | 2126.29i | −0.204706 | + | 0.463722i | ||||
\(277\) | −2121.20 | −0.460110 | −0.230055 | − | 0.973178i | \(-0.573891\pi\) | ||||
−0.230055 | + | 0.973178i | \(0.573891\pi\) | |||||||
\(278\) | −805.093 | + | 2741.89i | −0.173692 | + | 0.591539i | ||||
\(279\) | 613.461 | − | 3995.54i | 0.131638 | − | 0.857372i | ||||
\(280\) | 3391.66 | + | 2179.69i | 0.723895 | + | 0.465219i | ||||
\(281\) | 343.783 | − | 2391.06i | 0.0729835 | − | 0.507611i | −0.920237 | − | 0.391362i | \(-0.872004\pi\) |
0.993220 | − | 0.116249i | \(-0.0370870\pi\) | |||||||
\(282\) | 8593.38 | + | 7518.32i | 1.81464 | + | 1.58762i | ||||
\(283\) | 3300.52 | − | 1507.30i | 0.693271 | − | 0.316606i | −0.0374344 | − | 0.999299i | \(-0.511919\pi\) |
0.730706 | + | 0.682693i | \(0.239191\pi\) | |||||||
\(284\) | −1037.75 | + | 899.211i | −0.216827 | + | 0.187882i | ||||
\(285\) | 1593.64 | + | 3534.14i | 0.331225 | + | 0.734541i | ||||
\(286\) | 741.235 | + | 338.511i | 0.153252 | + | 0.0699879i | ||||
\(287\) | 220.401 | − | 64.7156i | 0.0453305 | − | 0.0133102i | ||||
\(288\) | 3403.21 | + | 3006.26i | 0.696306 | + | 0.615089i | ||||
\(289\) | 1968.80 | − | 4311.08i | 0.400734 | − | 0.877484i | ||||
\(290\) | −967.736 | − | 6730.75i | −0.195957 | − | 1.36291i | ||||
\(291\) | −957.938 | − | 622.110i | −0.192974 | − | 0.125322i | ||||
\(292\) | 1426.67 | + | 3123.98i | 0.285924 | + | 0.626085i | ||||
\(293\) | −5038.65 | + | 3238.14i | −1.00465 | + | 0.645646i | −0.936002 | − | 0.351995i | \(-0.885503\pi\) |
−0.0686433 | + | 0.997641i | \(0.521867\pi\) | |||||||
\(294\) | −651.633 | − | 4691.07i | −0.129265 | − | 0.930573i | ||||
\(295\) | 84.2645 | − | 131.118i | 0.0166307 | − | 0.0258780i | ||||
\(296\) | 2883.09 | − | 3327.27i | 0.566136 | − | 0.653356i | ||||
\(297\) | −739.358 | − | 1187.52i | −0.144451 | − | 0.232009i | ||||
\(298\) | 5979.19i | 1.16230i | ||||||||
\(299\) | 2563.08 | − | 414.311i | 0.495741 | − | 0.0801345i | ||||
\(300\) | −105.654 | − | 366.285i | −0.0203332 | − | 0.0704916i | ||||
\(301\) | 5257.75 | + | 1543.82i | 1.00682 | + | 0.295628i | ||||
\(302\) | −7744.06 | − | 6710.27i | −1.47556 | − | 1.27858i | ||||
\(303\) | 4987.38 | + | 1490.32i | 0.945603 | + | 0.282564i | ||||
\(304\) | −4938.76 | − | 710.086i | −0.931767 | − | 0.133968i | ||||
\(305\) | −4126.29 | − | 6420.64i | −0.774658 | − | 1.20539i | ||||
\(306\) | −5053.13 | + | 7700.19i | −0.944014 | + | 1.43853i | ||||
\(307\) | −631.743 | − | 729.070i | −0.117444 | − | 0.135538i | 0.693983 | − | 0.719992i | \(-0.255854\pi\) |
−0.811427 | + | 0.584453i | \(0.801309\pi\) | |||||||
\(308\) | −984.826 | + | 141.597i | −0.182194 | + | 0.0261955i | ||||
\(309\) | 1193.04 | − | 8025.62i | 0.219643 | − | 1.47755i | ||||
\(310\) | −1751.87 | − | 5966.33i | −0.320967 | − | 1.09311i | ||||
\(311\) | −2982.67 | − | 10158.1i | −0.543833 | − | 1.85212i | −0.522986 | − | 0.852341i | \(-0.675182\pi\) |
−0.0208467 | − | 0.999783i | \(-0.506636\pi\) | |||||||
\(312\) | 246.319 | − | 1657.00i | 0.0446958 | − | 0.300670i | ||||
\(313\) | 1518.67 | − | 218.351i | 0.274249 | − | 0.0394311i | −0.00381790 | − | 0.999993i | \(-0.501215\pi\) |
0.278067 | + | 0.960562i | \(0.410306\pi\) | |||||||
\(314\) | −1374.51 | − | 1586.26i | −0.247031 | − | 0.285089i | ||||
\(315\) | 4360.41 | − | 6644.58i | 0.779940 | − | 1.18851i | ||||
\(316\) | −1480.71 | − | 2304.02i | −0.263596 | − | 0.410163i | ||||
\(317\) | 2878.92 | + | 413.927i | 0.510084 | + | 0.0733390i | 0.392551 | − | 0.919730i | \(-0.371593\pi\) |
0.117532 | + | 0.993069i | \(0.462502\pi\) | |||||||
\(318\) | 875.945 | + | 261.749i | 0.154467 | + | 0.0461577i | ||||
\(319\) | −1233.74 | − | 1069.04i | −0.216539 | − | 0.187632i | ||||
\(320\) | −643.256 | − | 188.877i | −0.112372 | − | 0.0329955i | ||||
\(321\) | 1592.21 | + | 5519.91i | 0.276849 | + | 0.959786i | ||||
\(322\) | −7013.44 | + | 6294.89i | −1.21380 | + | 1.08944i | ||||
\(323\) | − | 6127.80i | − | 1.05560i | ||||||
\(324\) | 1978.21 | − | 2196.79i | 0.339199 | − | 0.376678i | ||||
\(325\) | −278.871 | + | 321.835i | −0.0475969 | + | 0.0549298i | ||||
\(326\) | −414.605 | + | 645.137i | −0.0704381 | + | 0.109604i | ||||
\(327\) | −550.379 | − | 3962.14i | −0.0930765 | − | 0.670052i | ||||
\(328\) | −107.560 | + | 69.1249i | −0.0181068 | + | 0.0116365i | ||||
\(329\) | 6469.44 | + | 14166.1i | 1.08411 | + | 2.37387i | ||||
\(330\) | −1804.66 | − | 1172.00i | −0.301041 | − | 0.195504i | ||||
\(331\) | −595.972 | − | 4145.08i | −0.0989655 | − | 0.688320i | −0.977545 | − | 0.210725i | \(-0.932418\pi\) |
0.878580 | − | 0.477595i | \(-0.158492\pi\) | |||||||
\(332\) | 786.778 | − | 1722.80i | 0.130060 | − | 0.284793i | ||||
\(333\) | −6504.41 | − | 5745.74i | −1.07039 | − | 0.945539i | ||||
\(334\) | −8479.78 | + | 2489.89i | −1.38920 | + | 0.407906i | ||||
\(335\) | 10739.1 | + | 4904.37i | 1.75146 | + | 0.799864i | ||||
\(336\) | 4204.67 | + | 9324.47i | 0.682688 | + | 1.51396i | ||||
\(337\) | −2844.66 | + | 2464.91i | −0.459817 | + | 0.398434i | −0.853732 | − | 0.520713i | \(-0.825666\pi\) |
0.393914 | + | 0.919147i | \(0.371121\pi\) | |||||||
\(338\) | −5188.94 | + | 2369.71i | −0.835033 | + | 0.381347i | ||||
\(339\) | 3051.26 | + | 2669.54i | 0.488854 | + | 0.427697i | ||||
\(340\) | −678.239 | + | 4717.26i | −0.108184 | + | 0.752439i | ||||
\(341\) | −1255.83 | − | 807.073i | −0.199434 | − | 0.128168i | ||||
\(342\) | −887.339 | + | 5779.34i | −0.140298 | + | 0.913775i | ||||
\(343\) | −557.978 | + | 1900.30i | −0.0878367 | + | 0.299144i | ||||
\(344\) | −3050.09 | −0.478051 | ||||||||
\(345\) | −6855.61 | + | 86.9777i | −1.06984 | + | 0.0135731i | ||||
\(346\) | −3558.18 | −0.552858 | ||||||||
\(347\) | −2720.00 | + | 9263.45i | −0.420798 | + | 1.43311i | 0.427706 | + | 0.903918i | \(0.359322\pi\) |
−0.848504 | + | 0.529189i | \(0.822496\pi\) | |||||||
\(348\) | 1448.09 | − | 3131.24i | 0.223063 | − | 0.482333i | ||||
\(349\) | 7296.26 | + | 4689.02i | 1.11908 | + | 0.719191i | 0.963254 | − | 0.268593i | \(-0.0865586\pi\) |
0.155829 | + | 0.987784i | \(0.450195\pi\) | |||||||
\(350\) | 219.980 | − | 1529.99i | 0.0335955 | − | 0.233662i | ||||
\(351\) | −3261.62 | − | 516.726i | −0.495990 | − | 0.0785777i | ||||
\(352\) | 1525.36 | − | 696.610i | 0.230972 | − | 0.105481i | ||||
\(353\) | 3353.67 | − | 2905.97i | 0.505660 | − | 0.438157i | −0.364298 | − | 0.931282i | \(-0.618691\pi\) |
0.869958 | + | 0.493126i | \(0.164146\pi\) | |||||||
\(354\) | 214.291 | − | 96.6297i | 0.0321735 | − | 0.0145079i | ||||
\(355\) | −3684.49 | − | 1682.65i | −0.550852 | − | 0.251566i | ||||
\(356\) | −2452.45 | + | 720.105i | −0.365112 | + | 0.107206i | ||||
\(357\) | −10600.2 | + | 6741.04i | −1.57149 | + | 0.999366i | ||||
\(358\) | −146.021 | + | 319.742i | −0.0215572 | + | 0.0472036i | ||||
\(359\) | 456.842 | + | 3177.40i | 0.0671621 | + | 0.467122i | 0.995452 | + | 0.0952650i | \(0.0303699\pi\) |
−0.928290 | + | 0.371857i | \(0.878721\pi\) | |||||||
\(360\) | −1286.77 | + | 4232.43i | −0.188385 | + | 0.619635i | ||||
\(361\) | 1233.27 | + | 2700.49i | 0.179804 | + | 0.393715i | ||||
\(362\) | 3793.58 | − | 2437.99i | 0.550791 | − | 0.353972i | ||||
\(363\) | 6338.63 | − | 880.495i | 0.916506 | − | 0.127311i | ||||
\(364\) | −1269.84 | + | 1975.92i | −0.182851 | + | 0.284522i | ||||
\(365\) | −6634.23 | + | 7656.31i | −0.951373 | + | 1.09794i | ||||
\(366\) | 54.9471 | − | 11510.8i | 0.00784735 | − | 1.64394i | ||||
\(367\) | − | 6396.76i | − | 0.909832i | −0.890534 | − | 0.454916i | \(-0.849669\pi\) | ||
0.890534 | − | 0.454916i | \(-0.150331\pi\) | |||||||
\(368\) | 4640.28 | − | 7505.38i | 0.657314 | − | 1.06316i | ||||
\(369\) | 134.234 | + | 213.323i | 0.0189375 | + | 0.0300952i | ||||
\(370\) | −12809.4 | − | 3761.19i | −1.79981 | − | 0.528472i | ||||
\(371\) | 942.369 | + | 816.567i | 0.131874 | + | 0.114270i | ||||
\(372\) | 903.228 | − | 3022.66i | 0.125888 | − | 0.421284i | ||||
\(373\) | 12599.5 | + | 1811.53i | 1.74900 | + | 0.251468i | 0.941165 | − | 0.337947i | \(-0.109732\pi\) |
0.807831 | + | 0.589414i | \(0.200641\pi\) | |||||||
\(374\) | 1838.84 | + | 2861.30i | 0.254236 | + | 0.395599i | ||||
\(375\) | −5042.73 | + | 4327.58i | −0.694414 | + | 0.595934i | ||||
\(376\) | −5676.59 | − | 6551.13i | −0.778584 | − | 0.898534i | ||||
\(377\) | −3814.53 | + | 548.446i | −0.521109 | + | 0.0749242i | ||||
\(378\) | 10973.5 | − | 4822.75i | 1.49317 | − | 0.656231i | ||||
\(379\) | −2028.07 | − | 6906.96i | −0.274868 | − | 0.936113i | −0.975020 | − | 0.222119i | \(-0.928703\pi\) |
0.700152 | − | 0.713994i | \(-0.253116\pi\) | |||||||
\(380\) | 852.394 | + | 2902.99i | 0.115071 | + | 0.391895i | ||||
\(381\) | −13043.0 | − | 1938.90i | −1.75384 | − | 0.260716i | ||||
\(382\) | 9238.85 | − | 1328.35i | 1.23744 | − | 0.177917i | ||||
\(383\) | 595.538 | + | 687.288i | 0.0794532 | + | 0.0916939i | 0.794084 | − | 0.607808i | \(-0.207951\pi\) |
−0.714631 | + | 0.699502i | \(0.753405\pi\) | |||||||
\(384\) | −5211.43 | − | 6072.64i | −0.692564 | − | 0.807013i | ||||
\(385\) | −1586.76 | − | 2469.05i | −0.210049 | − | 0.326842i | ||||
\(386\) | 1098.77 | + | 157.979i | 0.144885 | + | 0.0208313i | ||||
\(387\) | −57.4008 | + | 6012.29i | −0.00753965 | + | 0.789721i | ||||
\(388\) | −673.680 | − | 583.747i | −0.0881468 | − | 0.0763796i | ||||
\(389\) | 8004.92 | + | 2350.46i | 1.04336 | + | 0.306357i | 0.758130 | − | 0.652103i | \(-0.226113\pi\) |
0.285226 | + | 0.958460i | \(0.407931\pi\) | |||||||
\(390\) | −4880.81 | + | 1407.86i | −0.633717 | + | 0.182795i | ||||
\(391\) | 9934.77 | + | 4329.06i | 1.28497 | + | 0.559923i | ||||
\(392\) | 3595.58i | 0.463276i | ||||||||
\(393\) | 10018.9 | + | 47.8252i | 1.28597 | + | 0.00613858i | ||||
\(394\) | −989.597 | + | 1142.06i | −0.126536 | + | 0.146030i | ||||
\(395\) | 4367.85 | − | 6796.51i | 0.556381 | − | 0.865746i | ||||
\(396\) | −444.009 | − | 997.332i | −0.0563441 | − | 0.126560i | ||||
\(397\) | 7419.00 | − | 4767.90i | 0.937907 | − | 0.602756i | 0.0201064 | − | 0.999798i | \(-0.493599\pi\) |
0.917801 | + | 0.397042i | \(0.129963\pi\) | |||||||
\(398\) | −5187.21 | − | 11358.4i | −0.653295 | − | 1.43052i | ||||
\(399\) | −4343.60 | + | 6688.35i | −0.544992 | + | 0.839189i | ||||
\(400\) | 205.972 | + | 1432.56i | 0.0257465 | + | 0.179071i | ||||
\(401\) | −306.335 | + | 670.780i | −0.0381487 | + | 0.0835340i | −0.927747 | − | 0.373210i | \(-0.878257\pi\) |
0.889598 | + | 0.456744i | \(0.150984\pi\) | |||||||
\(402\) | 9554.94 | + | 15025.0i | 1.18547 | + | 1.86413i | ||||
\(403\) | −3381.31 | + | 992.841i | −0.417952 | + | 0.122722i | ||||
\(404\) | 3695.19 | + | 1687.54i | 0.455056 | + | 0.207817i | ||||
\(405\) | 8318.70 | + | 2616.12i | 1.02064 | + | 0.320977i | ||||
\(406\) | 10571.6 | − | 9160.32i | 1.29226 | − | 1.11975i | ||||
\(407\) | −2915.36 | + | 1331.40i | −0.355059 | + | 0.162150i | ||||
\(408\) | 4604.10 | − | 5262.44i | 0.558669 | − | 0.638553i | ||||
\(409\) | −1743.87 | + | 12128.9i | −0.210828 | + | 1.46634i | 0.559573 | + | 0.828781i | \(0.310965\pi\) |
−0.770401 | + | 0.637559i | \(0.779944\pi\) | |||||||
\(410\) | 326.160 | + | 209.610i | 0.0392875 | + | 0.0252486i | ||||
\(411\) | 3271.57 | + | 1512.99i | 0.392640 | + | 0.181583i | ||||
\(412\) | 1783.97 | − | 6075.65i | 0.213325 | − | 0.726519i | ||||
\(413\) | 320.620 | 0.0382002 | ||||||||
\(414\) | −8742.96 | − | 5521.49i | −1.03791 | − | 0.655475i | ||||
\(415\) | 5586.88 | 0.660841 | ||||||||
\(416\) | 1115.28 | − | 3798.29i | 0.131445 | − | 0.447660i | ||||
\(417\) | −3881.66 | − | 1795.14i | −0.455841 | − | 0.210811i | ||||
\(418\) | 1816.49 | + | 1167.39i | 0.212554 | + | 0.136600i | ||||
\(419\) | −1461.24 | + | 10163.2i | −0.170373 | + | 1.18497i | 0.707724 | + | 0.706489i | \(0.249722\pi\) |
−0.878097 | + | 0.478483i | \(0.841187\pi\) | |||||||
\(420\) | 4084.04 | − | 4668.02i | 0.474478 | − | 0.542324i | ||||
\(421\) | −1258.67 | + | 574.817i | −0.145710 | + | 0.0665437i | −0.486936 | − | 0.873438i | \(-0.661885\pi\) |
0.341225 | + | 0.939982i | \(0.389158\pi\) | |||||||
\(422\) | 12163.5 | − | 10539.7i | 1.40310 | − | 1.21579i | ||||
\(423\) | −13020.3 | + | 11066.3i | −1.49662 | + | 1.27202i | ||||
\(424\) | −631.338 | − | 288.322i | −0.0723125 | − | 0.0330240i | ||||
\(425\) | −1705.46 | + | 500.769i | −0.194652 | + | 0.0571550i | ||||
\(426\) | −3278.23 | − | 5154.96i | −0.372842 | − | 0.586288i | ||||
\(427\) | 6522.11 | − | 14281.4i | 0.739173 | − | 1.61856i | ||||
\(428\) | 638.062 | + | 4437.82i | 0.0720605 | + | 0.501192i | ||||
\(429\) | −664.207 | + | 1022.76i | −0.0747510 | + | 0.115103i | ||||
\(430\) | 3842.13 | + | 8413.10i | 0.430893 | + | 0.943525i | ||||
\(431\) | −9694.39 | + | 6230.20i | −1.08344 | + | 0.696284i | −0.955349 | − | 0.295479i | \(-0.904521\pi\) |
−0.128089 | + | 0.991763i | \(0.540884\pi\) | |||||||
\(432\) | −8586.35 | + | 7227.46i | −0.956276 | + | 0.804934i | ||||
\(433\) | 4147.98 | − | 6454.39i | 0.460368 | − | 0.716347i | −0.531012 | − | 0.847364i | \(-0.678188\pi\) |
0.991380 | + | 0.131018i | \(0.0418245\pi\) | |||||||
\(434\) | 8376.63 | − | 9667.14i | 0.926477 | − | 1.06921i | ||||
\(435\) | 10176.5 | + | 48.5775i | 1.12167 | + | 0.00535428i | ||||
\(436\) | − | 3121.81i | − | 0.342907i | ||||||
\(437\) | 6878.81 | − | 120.115i | 0.752993 | − | 0.0131485i | ||||
\(438\) | −14680.7 | + | 4234.63i | −1.60153 | + | 0.461960i | ||||
\(439\) | 30.4384 | + | 8.93752i | 0.00330922 | + | 0.000971673i | 0.283387 | − | 0.959006i | \(-0.408542\pi\) |
−0.280078 | + | 0.959977i | \(0.590360\pi\) | |||||||
\(440\) | 1234.62 | + | 1069.80i | 0.133769 | + | 0.115911i | ||||
\(441\) | 7087.57 | + | 67.6667i | 0.765313 | + | 0.00730663i | ||||
\(442\) | 7947.52 | + | 1142.68i | 0.855260 | + | 0.122968i | ||||
\(443\) | −5636.80 | − | 8771.03i | −0.604543 | − | 0.940687i | −0.999756 | − | 0.0220972i | \(-0.992966\pi\) |
0.395213 | − | 0.918589i | \(-0.370671\pi\) | |||||||
\(444\) | −4410.92 | − | 5139.84i | −0.471470 | − | 0.549383i | ||||
\(445\) | −4937.50 | − | 5698.18i | −0.525977 | − | 0.607010i | ||||
\(446\) | 1637.72 | − | 235.469i | 0.173875 | − | 0.0249995i | ||||
\(447\) | −8850.97 | − | 1315.73i | −0.936548 | − | 0.139221i | ||||
\(448\) | −388.538 | − | 1323.24i | −0.0409748 | − | 0.139547i | ||||
\(449\) | 4036.54 | + | 13747.2i | 0.424267 | + | 1.44492i | 0.843543 | + | 0.537062i | \(0.180466\pi\) |
−0.419276 | + | 0.907859i | \(0.637716\pi\) | |||||||
\(450\) | 1681.00 | − | 225.333i | 0.176095 | − | 0.0236051i | ||||
\(451\) | 92.1295 | − | 13.2462i | 0.00961909 | − | 0.00138302i | ||||
\(452\) | 2071.96 | + | 2391.17i | 0.215612 | + | 0.248830i | ||||
\(453\) | 11637.3 | − | 9986.91i | 1.20699 | − | 1.03582i | ||||
\(454\) | 2118.52 | + | 3296.48i | 0.219002 | + | 0.340774i | ||||
\(455\) | −6858.00 | − | 986.032i | −0.706611 | − | 0.101595i | ||||
\(456\) | 1270.93 | − | 4253.17i | 0.130519 | − | 0.436783i | ||||
\(457\) | −12572.2 | − | 10893.9i | −1.28688 | − | 1.11509i | −0.986933 | − | 0.161130i | \(-0.948486\pi\) |
−0.299945 | − | 0.953957i | \(-0.596968\pi\) | |||||||
\(458\) | −940.800 | − | 276.244i | −0.0959840 | − | 0.0281835i | ||||
\(459\) | −10286.6 | − | 9174.58i | −1.04605 | − | 0.932969i | ||||
\(460\) | −5308.69 | − | 668.896i | −0.538084 | − | 0.0677988i | ||||
\(461\) | 3663.50i | 0.370122i | 0.982727 | + | 0.185061i | \(0.0592482\pi\) | ||||
−0.982727 | + | 0.185061i | \(0.940752\pi\) | |||||||
\(462\) | 21.1298 | − | 4426.48i | 0.00212781 | − | 0.445754i | ||||
\(463\) | −5713.52 | + | 6593.75i | −0.573499 | + | 0.661853i | −0.966194 | − | 0.257816i | \(-0.916997\pi\) |
0.392696 | + | 0.919669i | \(0.371543\pi\) | |||||||
\(464\) | −7081.01 | + | 11018.3i | −0.708464 | + | 1.10239i | ||||
\(465\) | 9217.45 | − | 1280.39i | 0.919245 | − | 0.127692i | ||||
\(466\) | −11449.9 | + | 7358.38i | −1.13821 | + | 0.731481i | ||||
\(467\) | −704.777 | − | 1543.25i | −0.0698355 | − | 0.152918i | 0.871495 | − | 0.490404i | \(-0.163151\pi\) |
−0.941331 | + | 0.337486i | \(0.890424\pi\) | |||||||
\(468\) | −2465.73 | − | 749.647i | −0.243544 | − | 0.0740437i | ||||
\(469\) | 3456.26 | + | 24038.8i | 0.340288 | + | 2.36676i | ||||
\(470\) | −10919.4 | + | 23910.2i | −1.07165 | + | 2.34658i | ||||
\(471\) | 2650.61 | − | 1685.62i | 0.259307 | − | 0.164903i | ||||
\(472\) | −171.232 | + | 50.2784i | −0.0166983 | + | 0.00490307i | ||||
\(473\) | 2019.73 | + | 922.382i | 0.196337 | + | 0.0896642i | ||||
\(474\) | 11107.8 | − | 5008.81i | 1.07636 | − | 0.485363i | ||||
\(475\) | −852.804 | + | 738.959i | −0.0823776 | + | 0.0713806i | ||||
\(476\) | −8917.70 | + | 4072.58i | −0.858702 | + | 0.392156i | ||||
\(477\) | −580.220 | + | 1239.06i | −0.0556948 | + | 0.118936i | ||||
\(478\) | 109.918 | − | 764.497i | 0.0105179 | − | 0.0731533i | ||||
\(479\) | 5125.85 | + | 3294.18i | 0.488948 | + | 0.314228i | 0.761782 | − | 0.647833i | \(-0.224325\pi\) |
−0.272834 | + | 0.962061i | \(0.587961\pi\) | |||||||
\(480\) | −4387.91 | + | 9488.06i | −0.417249 | + | 0.902226i | ||||
\(481\) | −2131.58 | + | 7259.50i | −0.202062 | + | 0.688160i | ||||
\(482\) | 23472.9 | 2.21818 | ||||||||
\(483\) | −7774.99 | − | 11767.2i | −0.732452 | − | 1.10854i | ||||
\(484\) | 4994.26 | 0.469033 | ||||||||
\(485\) | 740.819 | − | 2523.00i | 0.0693585 | − | 0.236213i | ||||
\(486\) | 8373.15 | + | 10142.4i | 0.781509 | + | 0.946646i | ||||
\(487\) | 6200.20 | + | 3984.63i | 0.576916 | + | 0.370761i | 0.796323 | − | 0.604872i | \(-0.206776\pi\) |
−0.219407 | + | 0.975633i | \(0.570412\pi\) | |||||||
\(488\) | −1243.68 | + | 8650.00i | −0.115367 | + | 0.802392i | ||||
\(489\) | −863.761 | − | 755.702i | −0.0798785 | − | 0.0698855i | ||||
\(490\) | 9917.74 | − | 4529.28i | 0.914363 | − | 0.417576i | ||||
\(491\) | 12501.2 | − | 10832.4i | 1.14903 | − | 0.995638i | 0.149050 | − | 0.988830i | \(-0.452378\pi\) |
0.999977 | − | 0.00680795i | \(-0.00216706\pi\) | |||||||
\(492\) | 80.8563 | + | 179.311i | 0.00740911 | + | 0.0164308i | ||||
\(493\) | −14631.7 | − | 6682.08i | −1.33667 | − | 0.610438i | ||||
\(494\) | 4890.88 | − | 1436.09i | 0.445447 | − | 0.130795i | ||||
\(495\) | 2132.02 | − | 2413.54i | 0.193590 | − | 0.219152i | ||||
\(496\) | −4975.39 | + | 10894.6i | −0.450406 | + | 0.986253i | ||||
\(497\) | −1185.82 | − | 8247.53i | −0.107024 | − | 0.744370i | ||||
\(498\) | 7066.72 | + | 4589.32i | 0.635878 | + | 0.412956i | ||||
\(499\) | −5532.28 | − | 12114.0i | −0.496310 | − | 1.08677i | −0.977651 | − | 0.210234i | \(-0.932577\pi\) |
0.481341 | − | 0.876533i | \(-0.340150\pi\) | |||||||
\(500\) | −4362.68 | + | 2803.72i | −0.390210 | + | 0.250773i | ||||
\(501\) | −1819.78 | − | 13100.5i | −0.162279 | − | 1.16824i | ||||
\(502\) | −8563.73 | + | 13325.4i | −0.761390 | + | 1.18475i | ||||
\(503\) | 4638.07 | − | 5352.62i | 0.411136 | − | 0.474476i | −0.511980 | − | 0.858997i | \(-0.671088\pi\) |
0.923116 | + | 0.384521i | \(0.125633\pi\) | |||||||
\(504\) | −8755.47 | + | 2480.29i | −0.773809 | + | 0.219209i | ||||
\(505\) | 11983.1i | 1.05593i | ||||||||
\(506\) | −3175.92 | + | 2120.29i | −0.279026 | + | 0.186282i | ||||
\(507\) | −2366.04 | − | 8202.64i | −0.207258 | − | 0.718525i | ||||
\(508\) | −9873.99 | − | 2899.27i | −0.862377 | − | 0.253217i | ||||
\(509\) | 1289.25 | + | 1117.14i | 0.112269 | + | 0.0972818i | 0.709186 | − | 0.705021i | \(-0.249062\pi\) |
−0.596917 | + | 0.802303i | \(0.703608\pi\) | |||||||
\(510\) | −20315.2 | − | 6070.56i | −1.76386 | − | 0.527076i | ||||
\(511\) | −20627.8 | − | 2965.83i | −1.78575 | − | 0.256753i | ||||
\(512\) | −2534.72 | − | 3944.10i | −0.218789 | − | 0.340442i | ||||
\(513\) | −8359.88 | − | 2585.28i | −0.719489 | − | 0.222501i | ||||
\(514\) | −2730.07 | − | 3150.67i | −0.234277 | − | 0.270370i | ||||
\(515\) | 18488.7 | − | 2658.28i | 1.58196 | − | 0.227452i | ||||
\(516\) | −689.948 | + | 4641.30i | −0.0588629 | + | 0.395973i | ||||
\(517\) | 1777.84 | + | 6054.76i | 0.151236 | + | 0.515064i | ||||
\(518\) | −7737.13 | − | 26350.2i | −0.656274 | − | 2.23506i | ||||
\(519\) | 782.984 | − | 5267.16i | 0.0662219 | − | 0.445477i | ||||
\(520\) | 3817.26 | − | 548.838i | 0.321919 | − | 0.0462849i | ||||
\(521\) | −6896.99 | − | 7959.56i | −0.579967 | − | 0.669318i | 0.387631 | − | 0.921815i | \(-0.373294\pi\) |
−0.967598 | + | 0.252497i | \(0.918748\pi\) | |||||||
\(522\) | 12832.1 | + | 8420.86i | 1.07595 | + | 0.706075i | ||||
\(523\) | 7499.82 | + | 11669.9i | 0.627044 | + | 0.975700i | 0.998876 | + | 0.0473999i | \(0.0150935\pi\) |
−0.371832 | + | 0.928300i | \(0.621270\pi\) | |||||||
\(524\) | 7739.39 | + | 1112.76i | 0.645223 | + | 0.0927691i | ||||
\(525\) | 2216.44 | + | 662.314i | 0.184254 | + | 0.0550585i | ||||
\(526\) | 2305.15 | + | 1997.42i | 0.191082 | + | 0.165574i | ||||
\(527\) | −14113.4 | − | 4144.05i | −1.16658 | − | 0.342539i | ||||
\(528\) | 1148.69 | + | 3982.29i | 0.0946783 | + | 0.328233i | ||||
\(529\) | −4664.88 | + | 11237.2i | −0.383404 | + | 0.923581i | ||||
\(530\) | 2104.62i | 0.172489i | ||||||||
\(531\) | 95.8857 | + | 338.478i | 0.00783632 | + | 0.0276623i | ||||
\(532\) | −4075.74 | + | 4703.66i | −0.332154 | + | 0.383326i | ||||
\(533\) | 118.793 | − | 184.845i | 0.00965381 | − | 0.0150216i | ||||
\(534\) | −1564.59 | − | 11263.4i | −0.126791 | − | 0.912761i | ||||
\(535\) | −11126.0 | + | 7150.25i | −0.899101 | + | 0.577817i | ||||
\(536\) | −5615.54 | − | 12296.3i | −0.452527 | − | 0.990896i | ||||
\(537\) | −441.181 | − | 286.515i | −0.0354532 | − | 0.0230243i | ||||
\(538\) | −3729.04 | − | 25936.1i | −0.298830 | − | 2.07841i | ||||
\(539\) | 1087.35 | − | 2380.96i | 0.0868930 | − | 0.190269i | ||||
\(540\) | 6149.40 | + | 2915.47i | 0.490052 | + | 0.232337i | ||||
\(541\) | 14333.6 | − | 4208.73i | 1.13909 | − | 0.334468i | 0.342819 | − | 0.939402i | \(-0.388618\pi\) |
0.796276 | + | 0.604933i | \(0.206800\pi\) | |||||||
\(542\) | −24059.2 | − | 10987.5i | −1.90670 | − | 0.870760i | ||||
\(543\) | 2774.16 | + | 6152.11i | 0.219246 | + | 0.486211i | ||||
\(544\) | 12487.3 | − | 10820.3i | 0.984173 | − | 0.852791i | ||||
\(545\) | 8376.67 | − | 3825.50i | 0.658380 | − | 0.300672i | ||||
\(546\) | −7864.56 | − | 6880.69i | −0.616433 | − | 0.539315i | ||||
\(547\) | 2117.28 | − | 14726.0i | 0.165500 | − | 1.15108i | −0.722546 | − | 0.691323i | \(-0.757028\pi\) |
0.888046 | − | 0.459755i | \(-0.152063\pi\) | |||||||
\(548\) | 2366.45 | + | 1520.82i | 0.184470 | + | 0.118552i | ||||
\(549\) | 17027.4 | + | 2614.32i | 1.32370 | + | 0.203236i | ||||
\(550\) | 176.457 | − | 600.959i | 0.0136803 | − | 0.0465908i | ||||
\(551\) | −10211.8 | −0.789538 | ||||||||
\(552\) | 5997.64 | + | 5065.21i | 0.462458 | + | 0.390561i | ||||
\(553\) | 16619.4 | 1.27799 | ||||||||
\(554\) | 2074.94 | − | 7066.59i | 0.159126 | − | 0.541933i | ||||
\(555\) | 8386.42 | − | 18134.1i | 0.641412 | − | 1.38694i | ||||
\(556\) | −2807.74 | − | 1804.43i | −0.214163 | − | 0.137634i | ||||
\(557\) | −765.989 | + | 5327.57i | −0.0582693 | + | 0.405272i | 0.939723 | + | 0.341937i | \(0.111083\pi\) |
−0.997992 | + | 0.0633351i | \(0.979826\pi\) | |||||||
\(558\) | 12710.7 | + | 5952.09i | 0.964314 | + | 0.451563i | ||||
\(559\) | 4767.97 | − | 2177.46i | 0.360757 | − | 0.164752i | ||||
\(560\) | −17795.9 | + | 15420.3i | −1.34289 | + | 1.16362i | ||||
\(561\) | −4640.21 | + | 2092.40i | −0.349215 | + | 0.157471i | ||||
\(562\) | 7629.33 | + | 3484.20i | 0.572640 | + | 0.261516i | ||||
\(563\) | −5259.30 | + | 1544.27i | −0.393700 | + | 0.115601i | −0.472590 | − | 0.881283i | \(-0.656681\pi\) |
0.0788895 | + | 0.996883i | \(0.474863\pi\) | |||||||
\(564\) | −11252.9 | + | 7156.14i | −0.840129 | + | 0.534269i | ||||
\(565\) | −3877.16 | + | 8489.80i | −0.288696 | + | 0.632157i | ||||
\(566\) | 1792.89 | + | 12469.8i | 0.133146 | + | 0.926053i | ||||
\(567\) | 4724.36 | + | 17305.4i | 0.349919 | + | 1.28176i | ||||
\(568\) | 1926.65 | + | 4218.77i | 0.142325 | + | 0.311647i | ||||
\(569\) | −2561.81 | + | 1646.38i | −0.188746 | + | 0.121300i | −0.631601 | − | 0.775293i | \(-0.717602\pi\) |
0.442855 | + | 0.896593i | \(0.353966\pi\) | |||||||
\(570\) | −13332.6 | + | 1852.02i | −0.979718 | + | 0.136092i | ||||
\(571\) | 845.972 | − | 1316.36i | 0.0620015 | − | 0.0964761i | −0.808869 | − | 0.587989i | \(-0.799920\pi\) |
0.870870 | + | 0.491513i | \(0.163556\pi\) | |||||||
\(572\) | −623.248 | + | 719.266i | −0.0455582 | + | 0.0525770i | ||||
\(573\) | −66.6790 | + | 13968.6i | −0.00486136 | + | 1.01840i | ||||
\(574\) | 797.551i | 0.0579950i | ||||||||
\(575\) | −595.573 | − | 1904.67i | −0.0431949 | − | 0.138139i | ||||
\(576\) | 1280.74 | − | 805.911i | 0.0926463 | − | 0.0582980i | ||||
\(577\) | −1181.06 | − | 346.791i | −0.0852136 | − | 0.0250210i | 0.238848 | − | 0.971057i | \(-0.423230\pi\) |
−0.324061 | + | 0.946036i | \(0.605048\pi\) | |||||||
\(578\) | 12436.1 | + | 10776.0i | 0.894938 | + | 0.775468i | ||||
\(579\) | −475.641 | + | 1591.74i | −0.0341398 | + | 0.114249i | ||||
\(580\) | 7861.14 | + | 1130.26i | 0.562786 | + | 0.0809164i | ||||
\(581\) | 6213.45 | + | 9668.32i | 0.443679 | + | 0.690378i | ||||
\(582\) | 3009.55 | − | 2582.74i | 0.214347 | − | 0.183949i | ||||
\(583\) | 330.873 | + | 381.848i | 0.0235049 | + | 0.0271261i | ||||
\(584\) | 11481.7 | − | 1650.82i | 0.813555 | − | 0.116972i | ||||
\(585\) | −1010.03 | − | 7534.86i | −0.0713836 | − | 0.532527i | ||||
\(586\) | −5858.83 | − | 19953.3i | −0.413014 | − | 1.40660i | ||||
\(587\) | 26.6269 | + | 90.6829i | 0.00187225 | + | 0.00637630i | 0.960424 | − | 0.278543i | \(-0.0898514\pi\) |
−0.958552 | + | 0.284919i | \(0.908033\pi\) | |||||||
\(588\) | 5471.38 | + | 813.342i | 0.383735 | + | 0.0570436i | ||||
\(589\) | −9243.06 | + | 1328.95i | −0.646611 | + | 0.0929686i | ||||
\(590\) | 354.382 | + | 408.978i | 0.0247283 | + | 0.0285379i | ||||
\(591\) | −1472.82 | − | 1716.21i | −0.102511 | − | 0.119451i | ||||
\(592\) | 13902.0 | + | 21631.9i | 0.965147 | + | 1.50180i | ||||
\(593\) | −25075.8 | − | 3605.35i | −1.73649 | − | 0.249669i | −0.799908 | − | 0.600122i | \(-0.795119\pi\) |
−0.936580 | + | 0.350453i | \(0.886028\pi\) | |||||||
\(594\) | 4679.34 | − | 1301.49i | 0.323225 | − | 0.0899003i | ||||
\(595\) | −21855.7 | − | 18938.1i | −1.50588 | − | 1.30485i | ||||
\(596\) | −6700.47 | − | 1967.44i | −0.460507 | − | 0.135217i | ||||
\(597\) | 17955.3 | − | 5179.18i | 1.23092 | − | 0.355058i | ||||
\(598\) | −1126.94 | + | 8943.94i | −0.0770635 | + | 0.611614i | ||||
\(599\) | − | 26660.0i | − | 1.81853i | −0.416222 | − | 0.909263i | \(-0.636646\pi\) | ||
0.416222 | − | 0.909263i | \(-0.363354\pi\) | |||||||
\(600\) | −1287.59 | − | 6.14631i | −0.0876092 | − | 0.000418203i | ||||
\(601\) | 3285.94 | − | 3792.18i | 0.223022 | − | 0.257382i | −0.633201 | − | 0.773987i | \(-0.718259\pi\) |
0.856223 | + | 0.516606i | \(0.172805\pi\) | |||||||
\(602\) | −10286.2 | + | 16005.6i | −0.696401 | + | 1.08362i | ||||
\(603\) | −24344.0 | + | 10837.9i | −1.64406 | + | 0.731928i | ||||
\(604\) | 10067.9 | − | 6470.25i | 0.678241 | − | 0.435879i | ||||
\(605\) | 6120.02 | + | 13401.0i | 0.411263 | + | 0.900541i | ||||
\(606\) | −9843.50 | + | 15157.2i | −0.659843 | + | 1.01604i | ||||
\(607\) | −2469.43 | − | 17175.3i | −0.165125 | − | 1.14847i | −0.888788 | − | 0.458319i | \(-0.848452\pi\) |
0.723663 | − | 0.690154i | \(-0.242457\pi\) | |||||||
\(608\) | 4357.57 | − | 9541.75i | 0.290663 | − | 0.636463i | ||||
\(609\) | 11233.7 | + | 17664.8i | 0.747475 | + | 1.17539i | ||||
\(610\) | 25426.1 | − | 7465.77i | 1.68766 | − | 0.495541i | ||||
\(611\) | 13550.6 | + | 6188.36i | 0.897217 | + | 0.409745i | ||||
\(612\) | −6966.37 | − | 8196.44i | −0.460129 | − | 0.541375i | ||||
\(613\) | −4924.94 | + | 4267.49i | −0.324497 | + | 0.281178i | −0.801840 | − | 0.597539i | \(-0.796145\pi\) |
0.477343 | + | 0.878717i | \(0.341600\pi\) | |||||||
\(614\) | 3046.80 | − | 1391.43i | 0.200258 | − | 0.0914550i | ||||
\(615\) | −382.058 | + | 436.689i | −0.0250505 | + | 0.0286325i | ||||
\(616\) | −478.256 | + | 3326.34i | −0.0312816 | + | 0.217569i | ||||
\(617\) | 16023.5 | + | 10297.7i | 1.04551 | + | 0.671910i | 0.946344 | − | 0.323161i | \(-0.104746\pi\) |
0.0991677 | + | 0.995071i | \(0.468382\pi\) | |||||||
\(618\) | 25569.6 | + | 11825.1i | 1.66434 | + | 0.769700i | ||||
\(619\) | 8.90036 | − | 30.3118i | 0.000577925 | − | 0.00196823i | −0.959204 | − | 0.282717i | \(-0.908764\pi\) |
0.959781 | + | 0.280748i | \(0.0905826\pi\) | |||||||
\(620\) | 7262.52 | 0.470435 | ||||||||
\(621\) | 10097.4 | − | 11727.2i | 0.652485 | − | 0.757802i | ||||
\(622\) | 36758.3 | 2.36957 | ||||||||
\(623\) | 4369.68 | − | 14881.8i | 0.281007 | − | 0.957024i | ||||
\(624\) | 8880.54 | + | 4106.95i | 0.569721 | + | 0.263477i | ||||
\(625\) | −14771.7 | − | 9493.20i | −0.945390 | − | 0.607565i | ||||
\(626\) | −758.127 | + | 5272.89i | −0.0484039 | + | 0.336657i | ||||
\(627\) | −2127.80 | + | 2432.06i | −0.135528 | + | 0.154908i | ||||
\(628\) | 2229.90 | − | 1018.36i | 0.141692 | − | 0.0647086i | ||||
\(629\) | −23866.5 | + | 20680.4i | −1.51291 | + | 1.31094i | ||||
\(630\) | 17870.5 | + | 21026.0i | 1.13013 | + | 1.32967i | ||||
\(631\) | 12485.1 | + | 5701.73i | 0.787674 | + | 0.359719i | 0.768297 | − | 0.640094i | \(-0.221104\pi\) |
0.0193769 | + | 0.999812i | \(0.493832\pi\) | |||||||
\(632\) | −8875.84 | + | 2606.18i | −0.558642 | + | 0.164032i | ||||
\(633\) | 12925.3 | + | 20324.8i | 0.811586 | + | 1.27621i | ||||
\(634\) | −4195.10 | + | 9185.98i | −0.262790 | + | 0.575429i | ||||
\(635\) | −4320.17 | − | 30047.4i | −0.269985 | − | 1.87779i | ||||
\(636\) | −581.552 | + | 895.485i | −0.0362579 | + | 0.0558306i | ||||
\(637\) | −2566.89 | − | 5620.69i | −0.159660 | − | 0.349608i | ||||
\(638\) | 4768.24 | − | 3064.36i | 0.295888 | − | 0.190156i | ||||
\(639\) | 8352.26 | − | 3718.39i | 0.517074 | − | 0.230199i | ||||
\(640\) | 9959.70 | − | 15497.6i | 0.615143 | − | 0.957181i | ||||
\(641\) | −4484.27 | + | 5175.13i | −0.276315 | + | 0.318885i | −0.876897 | − | 0.480679i | \(-0.840390\pi\) |
0.600581 | + | 0.799564i | \(0.294936\pi\) | |||||||
\(642\) | −19946.6 | − | 95.2151i | −1.22621 | − | 0.00585334i | ||||
\(643\) | 2008.49i | 0.123184i | 0.998101 | + | 0.0615918i | \(0.0196177\pi\) | ||||
−0.998101 | + | 0.0615918i | \(0.980382\pi\) | |||||||
\(644\) | −4746.51 | − | 9930.81i | −0.290433 | − | 0.607653i | ||||
\(645\) | −13299.4 | + | 3836.18i | −0.811879 | + | 0.234185i | ||||
\(646\) | 20414.2 | + | 5994.16i | 1.24332 | + | 0.365073i | ||||
\(647\) | 5860.19 | + | 5077.88i | 0.356086 | + | 0.308550i | 0.814472 | − | 0.580203i | \(-0.197027\pi\) |
−0.458386 | + | 0.888753i | \(0.651572\pi\) | |||||||
\(648\) | −5236.88 | − | 8501.36i | −0.317475 | − | 0.515378i | ||||
\(649\) | 128.593 | + | 18.4889i | 0.00777769 | + | 0.00111826i | ||||
\(650\) | −799.375 | − | 1243.85i | −0.0482370 | − | 0.0750582i | ||||
\(651\) | 12467.0 | + | 14527.2i | 0.750566 | + | 0.874601i | ||||
\(652\) | −586.538 | − | 676.900i | −0.0352310 | − | 0.0406587i | ||||
\(653\) | −21087.9 | + | 3031.99i | −1.26376 | + | 0.181701i | −0.741422 | − | 0.671039i | \(-0.765848\pi\) |
−0.522336 | + | 0.852740i | \(0.674939\pi\) | |||||||
\(654\) | 13737.9 | + | 2042.19i | 0.821398 | + | 0.122104i | ||||
\(655\) | 6498.10 | + | 22130.5i | 0.387636 | + | 1.32017i | ||||
\(656\) | −210.388 | − | 716.514i | −0.0125217 | − | 0.0426451i | ||||
\(657\) | −3038.00 | − | 22663.7i | −0.180401 | − | 1.34581i | ||||
\(658\) | −53521.5 | + | 7695.23i | −3.17095 | + | 0.455914i | ||||
\(659\) | −4211.57 | − | 4860.41i | −0.248952 | − | 0.287306i | 0.617495 | − | 0.786575i | \(-0.288148\pi\) |
−0.866447 | + | 0.499269i | \(0.833602\pi\) | |||||||
\(660\) | 1907.20 | − | 1636.72i | 0.112481 | − | 0.0965293i | ||||
\(661\) | −10749.0 | − | 16725.8i | −0.632508 | − | 0.984202i | −0.998562 | − | 0.0536082i | \(-0.982928\pi\) |
0.366054 | − | 0.930594i | \(-0.380709\pi\) | |||||||
\(662\) | 14391.9 | + | 2069.25i | 0.844952 | + | 0.121486i | ||||
\(663\) | −3440.37 | + | 11513.2i | −0.201528 | + | 0.674415i | ||||
\(664\) | −4834.54 | − | 4189.16i | −0.282555 | − | 0.244835i | ||||
\(665\) | −17615.7 | − | 5172.43i | −1.02723 | − | 0.301621i | ||||
\(666\) | 25504.0 | − | 16048.4i | 1.48387 | − | 0.933731i | ||||
\(667\) | 7214.22 | − | 16555.9i | 0.418794 | − | 0.961092i | ||||
\(668\) | − | 10322.0i | − | 0.597861i | ||||||
\(669\) | −11.8198 | + | 2476.13i | −0.000683082 | + | 0.143098i | ||||
\(670\) | −26843.3 | + | 30978.9i | −1.54783 | + | 1.78630i | ||||
\(671\) | 3439.42 | − | 5351.84i | 0.197880 | − | 0.307907i | ||||
\(672\) | −21299.5 | + | 2958.70i | −1.22269 | + | 0.169843i | ||||
\(673\) | 4160.41 | − | 2673.73i | 0.238294 | − | 0.153142i | −0.416044 | − | 0.909345i | \(-0.636584\pi\) |
0.654338 | + | 0.756202i | \(0.272947\pi\) | |||||||
\(674\) | −5429.02 | − | 11887.9i | −0.310264 | − | 0.679383i | ||||
\(675\) | −36.3472 | + | 2537.96i | −0.00207260 | + | 0.144720i | ||||
\(676\) | −948.167 | − | 6594.65i | −0.0539467 | − | 0.375208i | ||||
\(677\) | −1531.72 | + | 3354.01i | −0.0869556 | + | 0.190406i | −0.948114 | − | 0.317930i | \(-0.897012\pi\) |
0.861158 | + | 0.508337i | \(0.169739\pi\) | |||||||
\(678\) | −11878.0 | + | 7553.68i | −0.672822 | + | 0.427872i | ||||
\(679\) | 5190.05 | − | 1523.94i | 0.293337 | − | 0.0861316i | ||||
\(680\) | 14642.2 | + | 6686.86i | 0.825738 | + | 0.377102i | ||||
\(681\) | −5345.95 | + | 2410.64i | −0.300818 | + | 0.135647i | ||||
\(682\) | 3917.13 | − | 3394.21i | 0.219934 | − | 0.190574i | ||||
\(683\) | −1894.23 | + | 865.066i | −0.106121 | + | 0.0484639i | −0.467768 | − | 0.883851i | \(-0.654942\pi\) |
0.361647 | + | 0.932315i | \(0.382215\pi\) | |||||||
\(684\) | −6184.54 | − | 2896.06i | −0.345719 | − | 0.161891i | ||||
\(685\) | −1180.92 | + | 8213.46i | −0.0658694 | + | 0.458132i | ||||
\(686\) | −5784.87 | − | 3717.71i | −0.321964 | − | 0.206914i | ||||
\(687\) | 615.948 | − | 1331.88i | 0.0342065 | − | 0.0739654i | ||||
\(688\) | 5018.88 | − | 17092.7i | 0.278115 | − | 0.947172i | ||||
\(689\) | 1192.76 | 0.0659512 | ||||||||
\(690\) | 6416.34 | − | 22923.9i | 0.354008 | − | 1.26478i | ||||
\(691\) | 11236.9 | 0.618627 | 0.309313 | − | 0.950960i | \(-0.399901\pi\) | ||||
0.309313 | + | 0.950960i | \(0.399901\pi\) | |||||||
\(692\) | 1170.81 | − | 3987.41i | 0.0643172 | − | 0.219044i | ||||
\(693\) | 6547.85 | + | 1005.33i | 0.358921 | + | 0.0551074i | ||||
\(694\) | −28199.7 | − | 18122.8i | −1.54243 | − | 0.991259i | ||||
\(695\) | 1401.14 | − | 9745.11i | 0.0764721 | − | 0.531875i | ||||
\(696\) | −8769.67 | − | 7672.56i | −0.477606 | − | 0.417856i | ||||
\(697\) | 834.243 | − | 380.986i | 0.0453360 | − | 0.0207043i | ||||
\(698\) | −22758.2 | + | 19720.1i | −1.23411 | + | 1.06937i | ||||
\(699\) | −8373.03 | − | 18568.4i | −0.453071 | − | 1.00475i | ||||
\(700\) | 1642.18 | + | 749.957i | 0.0886692 | + | 0.0404939i | ||||
\(701\) | 28249.0 | − | 8294.66i | 1.52204 | − | 0.446912i | 0.589437 | − | 0.807814i | \(-0.299350\pi\) |
0.932604 | + | 0.360903i | \(0.117531\pi\) | |||||||
\(702\) | 4911.92 | − | 10360.4i | 0.264086 | − | 0.557018i | ||||
\(703\) | −8328.44 | + | 18236.7i | −0.446818 | + | 0.978395i | ||||
\(704\) | −79.5275 | − | 553.126i | −0.00425753 | − | 0.0296118i | ||||
\(705\) | −32991.3 | − | 21425.4i | −1.76245 | − | 1.14458i | ||||
\(706\) | 6400.46 | + | 14015.1i | 0.341196 | + | 0.747116i | ||||
\(707\) | −20737.3 | + | 13327.1i | −1.10312 | + | 0.708933i | ||||
\(708\) | 37.7746 | + | 271.937i | 0.00200517 | + | 0.0144351i | ||||
\(709\) | 1488.22 | − | 2315.72i | 0.0788314 | − | 0.122664i | −0.799599 | − | 0.600534i | \(-0.794955\pi\) |
0.878431 | + | 0.477870i | \(0.158591\pi\) | |||||||
\(710\) | 9209.74 | − | 10628.6i | 0.486811 | − | 0.561809i | ||||
\(711\) | 4970.24 | + | 17545.0i | 0.262164 | + | 0.925442i | ||||
\(712\) | 8633.09i | 0.454408i | ||||||||
\(713\) | 4375.29 | − | 15924.3i | 0.229812 | − | 0.836422i | ||||
\(714\) | −12088.2 | − | 41907.6i | −0.633598 | − | 2.19657i | ||||
\(715\) | −2693.72 | − | 790.948i | −0.140894 | − | 0.0413703i | ||||
\(716\) | −310.266 | − | 268.847i | −0.0161944 | − | 0.0140325i | ||||
\(717\) | 1107.50 | + | 330.940i | 0.0576850 | + | 0.0172374i | ||||
\(718\) | −11032.1 | − | 1586.18i | −0.573419 | − | 0.0824452i | ||||
\(719\) | −6127.50 | − | 9534.58i | −0.317827 | − | 0.494548i | 0.645178 | − | 0.764032i | \(-0.276783\pi\) |
−0.963005 | + | 0.269484i | \(0.913147\pi\) | |||||||
\(720\) | −21601.3 | − | 14175.5i | −1.11810 | − | 0.733735i | ||||
\(721\) | 25162.5 | + | 29039.1i | 1.29972 | + | 1.49996i | ||||
\(722\) | −10202.8 | + | 1466.94i | −0.525914 | + | 0.0756150i | ||||
\(723\) | −5165.25 | + | 34746.9i | −0.265695 | + | 1.78734i | ||||
\(724\) | 1483.82 | + | 5053.43i | 0.0761682 | + | 0.259405i | ||||
\(725\) | 834.514 | + | 2842.09i | 0.0427491 | + | 0.145590i | ||||
\(726\) | −3267.09 | + | 21977.9i | −0.167015 | + | 1.12352i | ||||
\(727\) | −12106.3 | + | 1740.63i | −0.617605 | + | 0.0887982i | −0.444014 | − | 0.896020i | \(-0.646446\pi\) |
−0.173591 | + | 0.984818i | \(0.555537\pi\) | |||||||
\(728\) | 5195.15 | + | 5995.52i | 0.264485 | + | 0.305232i | ||||
\(729\) | −16856.3 | + | 10162.9i | −0.856391 | + | 0.516328i | ||||
\(730\) | −19016.8 | − | 29590.7i | −0.964167 | − | 1.50027i | ||||
\(731\) | 21655.6 | + | 3113.60i | 1.09571 | + | 0.157539i | ||||
\(732\) | 12881.4 | + | 3849.19i | 0.650421 | + | 0.194358i | ||||
\(733\) | −13522.3 | − | 11717.1i | −0.681387 | − | 0.590425i | 0.243851 | − | 0.969813i | \(-0.421589\pi\) |
−0.925238 | + | 0.379388i | \(0.876135\pi\) | |||||||
\(734\) | 21310.2 | + | 6257.25i | 1.07163 | + | 0.314659i | ||||
\(735\) | 4522.27 | + | 15677.9i | 0.226947 | + | 0.786786i | ||||
\(736\) | 12391.2 | + | 13805.7i | 0.620580 | + | 0.691417i | ||||
\(737\) | 9840.70i | 0.491841i | ||||||||
\(738\) | −841.972 | + | 238.518i | −0.0419965 | + | 0.0118970i | ||||
\(739\) | 3014.05 | − | 3478.39i | 0.150032 | − | 0.173146i | −0.675759 | − | 0.737123i | \(-0.736184\pi\) |
0.825791 | + | 0.563977i | \(0.190729\pi\) | |||||||
\(740\) | 8429.82 | − | 13117.1i | 0.418765 | − | 0.651612i | ||||
\(741\) | 1049.60 | + | 7555.97i | 0.0520349 | + | 0.374596i | ||||
\(742\) | −3642.14 | + | 2340.66i | −0.180198 | + | 0.115806i | ||||
\(743\) | 10575.6 | + | 23157.2i | 0.522180 | + | 1.14341i | 0.968608 | + | 0.248594i | \(0.0799686\pi\) |
−0.446428 | + | 0.894820i | \(0.647304\pi\) | |||||||
\(744\) | −8936.28 | − | 5803.46i | −0.440349 | − | 0.285975i | ||||
\(745\) | −2931.66 | − | 20390.1i | −0.144171 | − | 1.00273i | ||||
\(746\) | −18359.6 | + | 40202.0i | −0.901064 | + | 1.97306i | ||||
\(747\) | −8348.60 | + | 9450.96i | −0.408915 | + | 0.462908i | ||||
\(748\) | −3811.53 | + | 1119.17i | −0.186315 | + | 0.0547069i | ||||
\(749\) | −24747.6 | − | 11301.8i | −1.20729 | − | 0.551349i | ||||
\(750\) | −9484.19 | − | 21032.6i | −0.461752 | − | 1.02400i | ||||
\(751\) | −9537.40 | + | 8264.20i | −0.463415 | + | 0.401551i | −0.855031 | − | 0.518578i | \(-0.826462\pi\) |
0.391616 | + | 0.920129i | \(0.371916\pi\) | |||||||
\(752\) | 46053.4 | − | 21031.9i | 2.23324 | − | 1.01989i | ||||
\(753\) | −17841.1 | − | 15609.2i | −0.863435 | − | 0.755417i | ||||
\(754\) | 1904.23 | − | 13244.2i | 0.0919737 | − | 0.639691i | ||||
\(755\) | 29698.8 | + | 19086.2i | 1.43159 | + | 0.920026i | ||||
\(756\) | 1793.72 | + | 13884.2i | 0.0862921 | + | 0.667942i | ||||
\(757\) | −10017.3 | + | 34115.7i | −0.480956 | + | 1.63799i | 0.259400 | + | 0.965770i | \(0.416475\pi\) |
−0.740356 | + | 0.672215i | \(0.765343\pi\) | |||||||
\(758\) | 24993.8 | 1.19764 | ||||||||
\(759\) | −2439.80 | − | 5167.89i | −0.116679 | − | 0.247144i | ||||
\(760\) | 10219.1 | 0.487742 | ||||||||
\(761\) | 5097.77 | − | 17361.4i | 0.242831 | − | 0.827006i | −0.744403 | − | 0.667730i | \(-0.767266\pi\) |
0.987234 | − | 0.159275i | \(-0.0509158\pi\) | |||||||
\(762\) | 19217.8 | − | 41555.1i | 0.913633 | − | 1.97557i | ||||
\(763\) | 15936.3 | + | 10241.6i | 0.756137 | + | 0.485940i | ||||
\(764\) | −1551.43 | + | 10790.5i | −0.0734671 | + | 0.510975i | ||||
\(765\) | 13456.6 | − | 28736.7i | 0.635981 | − | 1.35814i | ||||
\(766\) | −2872.19 | + | 1311.68i | −0.135478 | + | 0.0618709i | ||||
\(767\) | 231.781 | − | 200.839i | 0.0109115 | − | 0.00945487i | ||||
\(768\) | 23204.4 | − | 10463.5i | 1.09026 | − | 0.491628i | ||||
\(769\) | −5623.38 | − | 2568.11i | −0.263698 | − | 0.120427i | 0.279179 | − | 0.960239i | \(-0.409938\pi\) |
−0.542877 | + | 0.839812i | \(0.682665\pi\) | |||||||
\(770\) | 9777.56 | − | 2870.95i | 0.457609 | − | 0.134366i | ||||
\(771\) | 5264.69 | − | 3348.01i | 0.245919 | − | 0.156389i | ||||
\(772\) | −538.582 | + | 1179.33i | −0.0251088 | + | 0.0549806i | ||||
\(773\) | 1844.88 | + | 12831.4i | 0.0858419 | + | 0.597043i | 0.986654 | + | 0.162833i | \(0.0520633\pi\) |
−0.900812 | + | 0.434210i | \(0.857028\pi\) | |||||||
\(774\) | −19973.3 | − | 6072.40i | −0.927551 | − | 0.282000i | ||||
\(775\) | 1125.22 | + | 2463.89i | 0.0521537 | + | 0.114201i | ||||
\(776\) | −2532.86 | + | 1627.77i | −0.117170 | + | 0.0753008i | ||||
\(777\) | 40708.8 | − | 5654.83i | 1.87956 | − | 0.261089i | ||||
\(778\) | −15660.7 | + | 24368.5i | −0.721674 | + | 1.12295i | ||||
\(779\) | 381.282 | − | 440.023i | 0.0175364 | − | 0.0202381i | ||||
\(780\) | 28.3205 | − | 5932.85i | 0.00130005 | − | 0.272347i | ||||
\(781\) | − | 3376.27i | − | 0.154689i | ||||||
\(782\) | −24140.0 | + | 28862.2i | −1.10389 | + | 1.31983i | ||||
\(783\) | −15289.1 | + | 17142.3i | −0.697814 | + | 0.782395i | ||||
\(784\) | −20149.7 | − | 5916.48i | −0.917898 | − | 0.269519i | ||||
\(785\) | 5465.08 | + | 4735.52i | 0.248480 | + | 0.215309i | ||||
\(786\) | −9959.69 | + | 33330.2i | −0.451973 | + | 1.51253i | ||||
\(787\) | −21462.6 | − | 3085.86i | −0.972121 | − | 0.139770i | −0.362086 | − | 0.932145i | \(-0.617935\pi\) |
−0.610035 | + | 0.792375i | \(0.708845\pi\) | |||||||
\(788\) | −954.201 | − | 1484.77i | −0.0431371 | − | 0.0671226i | ||||
\(789\) | −3464.03 | + | 2972.77i | −0.156303 | + | 0.134136i | ||||
\(790\) | 18369.4 | + | 21199.4i | 0.827283 | + | 0.954736i | ||||
\(791\) | −19003.9 | + | 2732.35i | −0.854237 | + | 0.122821i | ||||
\(792\) | −3654.64 | + | 489.894i | −0.163967 | + | 0.0219793i | ||||
\(793\) | −4231.09 | − | 14409.8i | −0.189471 | − | 0.645278i | ||||
\(794\) | 8626.65 | + | 29379.7i | 0.385577 | + | 1.31316i | ||||
\(795\) | −3115.47 | − | 463.127i | −0.138987 | − | 0.0206609i | ||||
\(796\) | 14435.4 | − | 2075.50i | 0.642777 | − | 0.0924174i | ||||
\(797\) | −4902.95 | − | 5658.30i | −0.217906 | − | 0.251477i | 0.636263 | − | 0.771472i | \(-0.280479\pi\) |
−0.854169 | + | 0.519995i | \(0.825934\pi\) | |||||||
\(798\) | −18032.8 | − | 21012.8i | −0.799942 | − | 0.932136i | ||||
\(799\) | 33616.2 | + | 52307.8i | 1.48843 | + | 2.31604i | ||||
\(800\) | −3011.73 | − | 433.021i | −0.133101 | − | 0.0191370i | ||||
\(801\) | 17017.5 | + | 162.470i | 0.750664 | + | 0.00716677i | ||||
\(802\) | −1934.99 | − | 1676.68i | −0.0851956 | − | 0.0738224i | ||||
\(803\) | −8102.29 | − | 2379.05i | −0.356069 | − | 0.104551i | ||||
\(804\) | −19981.5 | + | 5763.65i | −0.876486 | + | 0.252821i | ||||
\(805\) | 20830.7 | − | 24905.5i | 0.912030 | − | 1.09044i | ||||
\(806\) | − | 12235.7i | − | 0.534720i | ||||||
\(807\) | 39213.7 | + | 187.187i | 1.71052 | + | 0.00816517i | ||||
\(808\) | 8985.20 | − | 10369.5i | 0.391211 | − | 0.451481i | ||||
\(809\) | 6137.57 | − | 9550.24i | 0.266731 | − | 0.415042i | −0.681891 | − | 0.731454i | \(-0.738842\pi\) |
0.948622 | + | 0.316413i | \(0.102478\pi\) | |||||||
\(810\) | −16852.6 | + | 25154.0i | −0.731039 | + | 1.09114i | ||||
\(811\) | 6576.10 | − | 4226.20i | 0.284733 | − | 0.182986i | −0.390477 | − | 0.920613i | \(-0.627690\pi\) |
0.675209 | + | 0.737626i | \(0.264053\pi\) | |||||||
\(812\) | 6786.80 | + | 14861.0i | 0.293313 | + | 0.642266i | ||||
\(813\) | 21559.0 | − | 33197.0i | 0.930021 | − | 1.43206i | ||||
\(814\) | −1583.66 | − | 11014.6i | −0.0681909 | − | 0.474278i | ||||
\(815\) | 1097.56 | − | 2403.32i | 0.0471728 | − | 0.103294i | ||||
\(816\) | 21914.8 | + | 34460.7i | 0.940163 | + | 1.47839i | ||||
\(817\) | 13326.8 | − | 3913.10i | 0.570680 | − | 0.167567i | ||||
\(818\) | −38700.4 | − | 17673.9i | −1.65419 | − | 0.755443i | ||||
\(819\) | 11916.1 | − | 10127.8i | 0.508402 | − | 0.432104i | ||||
\(820\) | −342.218 | + | 296.534i | −0.0145741 | + | 0.0126286i | ||||
\(821\) | −9534.78 | + | 4354.39i | −0.405318 | + | 0.185103i | −0.607633 | − | 0.794218i | \(-0.707881\pi\) |
0.202315 | + | 0.979321i | \(0.435154\pi\) | |||||||
\(822\) | −8240.63 | + | 9418.97i | −0.349665 | + | 0.399664i | ||||
\(823\) | 1429.54 | − | 9942.67i | 0.0605476 | − | 0.421118i | −0.936893 | − | 0.349616i | \(-0.886312\pi\) |
0.997441 | − | 0.0715012i | \(-0.0227790\pi\) | |||||||
\(824\) | −17992.3 | − | 11562.9i | −0.760667 | − | 0.488851i | ||||
\(825\) | 850.768 | + | 393.452i | 0.0359030 | + | 0.0166039i | ||||
\(826\) | −313.628 | + | 1068.12i | −0.0132113 | + | 0.0449934i | ||||
\(827\) | −6814.14 | −0.286518 | −0.143259 | − | 0.989685i | \(-0.545758\pi\) | ||||
−0.143259 | + | 0.989685i | \(0.545758\pi\) | |||||||
\(828\) | 9064.42 | − | 7980.81i | 0.380447 | − | 0.334967i | ||||
\(829\) | 15670.0 | 0.656503 | 0.328251 | − | 0.944590i | \(-0.393541\pi\) | ||||
0.328251 | + | 0.944590i | \(0.393541\pi\) | |||||||
\(830\) | −5465.03 | + | 18612.2i | −0.228547 | + | 0.778360i | ||||
\(831\) | 10004.1 | + | 4626.55i | 0.417614 | + | 0.193132i | ||||
\(832\) | −1109.77 | − | 713.205i | −0.0462432 | − | 0.0297187i | ||||
\(833\) | 3670.46 | − | 25528.6i | 0.152670 | − | 1.06184i | ||||
\(834\) | 9777.34 | − | 11175.4i | 0.405949 | − | 0.463996i | ||||
\(835\) | 27696.8 | − | 12648.7i | 1.14789 | − | 0.524223i | ||||
\(836\) | −1905.93 | + | 1651.49i | −0.0788491 | + | 0.0683231i | ||||
\(837\) | −11607.9 | + | 17505.9i | −0.479364 | + | 0.722929i | ||||
\(838\) | −32428.3 | − | 14809.5i | −1.33678 | − | 0.610485i | ||||
\(839\) | 30326.8 | − | 8904.74i | 1.24791 | − | 0.366419i | 0.409928 | − | 0.912118i | \(-0.365554\pi\) |
0.837981 | + | 0.545699i | \(0.183736\pi\) | |||||||
\(840\) | −11241.7 | − | 17677.4i | −0.461758 | − | 0.726107i | ||||
\(841\) | −1003.89 | + | 2198.21i | −0.0411615 | + | 0.0901312i | ||||
\(842\) | −683.730 | − | 4755.44i | −0.0279844 | − | 0.194636i | ||||
\(843\) | −6836.50 | + | 10527.0i | −0.279314 | + | 0.430093i | ||||
\(844\) | 7808.77 | + | 17098.8i | 0.318470 | + | 0.697353i | ||||
\(845\) | 16533.4 | − | 10625.3i | 0.673094 | − | 0.432571i | ||||
\(846\) | −24130.1 | − | 54201.1i | −0.980628 | − | 2.20269i | ||||
\(847\) | −16384.5 | + | 25494.9i | −0.664675 | + | 1.03425i | ||||
\(848\) | 2654.62 | − | 3063.60i | 0.107500 | − | 0.124062i | ||||
\(849\) | −18853.6 | − | 89.9978i | −0.762136 | − | 0.00363806i | ||||
\(850\) | − | 6171.45i | − | 0.249034i | ||||||
\(851\) | −23682.8 | − | 26386.1i | −0.953979 | − | 1.06287i | ||||
\(852\) | 6855.51 | − | 1977.46i | 0.275664 | − | 0.0795150i | ||||
\(853\) | −8147.68 | − | 2392.37i | −0.327047 | − | 0.0960297i | 0.114087 | − | 0.993471i | \(-0.463606\pi\) |
−0.441134 | + | 0.897441i | \(0.645424\pi\) | |||||||
\(854\) | 41197.5 | + | 35697.8i | 1.65076 | + | 1.43039i | ||||
\(855\) | 192.317 | − | 20143.7i | 0.00769250 | − | 0.805731i | ||||
\(856\) | 14989.2 | + | 2155.12i | 0.598503 | + | 0.0860518i | ||||
\(857\) | 8560.58 | + | 13320.5i | 0.341218 | + | 0.530946i | 0.968877 | − | 0.247543i | \(-0.0796231\pi\) |
−0.627659 | + | 0.778488i | \(0.715987\pi\) | |||||||
\(858\) | −2757.51 | − | 3213.20i | −0.109720 | − | 0.127852i | ||||
\(859\) | −5072.69 | − | 5854.19i | −0.201488 | − | 0.232529i | 0.646009 | − | 0.763330i | \(-0.276437\pi\) |
−0.847497 | + | 0.530801i | \(0.821891\pi\) | |||||||
\(860\) | −10692.2 | + | 1537.31i | −0.423956 | + | 0.0609557i | ||||
\(861\) | −1180.61 | − | 175.503i | −0.0467308 | − | 0.00694671i | ||||
\(862\) | −11272.4 | − | 38390.3i | −0.445406 | − | 1.51691i | ||||
\(863\) | 6425.83 | + | 21884.4i | 0.253462 | + | 0.863212i | 0.983669 | + | 0.179986i | \(0.0576054\pi\) |
−0.730207 | + | 0.683226i | \(0.760576\pi\) | |||||||
\(864\) | −9493.38 | − | 21601.0i | −0.373809 | − | 0.850555i | ||||
\(865\) | 12134.0 | − | 1744.61i | 0.476959 | − | 0.0685764i | ||||
\(866\) | 17444.7 | + | 20132.3i | 0.684521 | + | 0.789979i | ||||
\(867\) | −18688.2 | + | 16037.9i | −0.732047 | + | 0.628230i | ||||
\(868\) | 8077.01 | + | 12568.1i | 0.315843 | + | 0.491461i | ||||
\(869\) | 6665.63 | + | 958.373i | 0.260202 | + | 0.0374115i | ||||
\(870\) | −10116.4 | + | 33854.5i | −0.394226 | + | 1.31928i | ||||
\(871\) | 17556.7 | + | 15213.0i | 0.682992 | + | 0.591816i | ||||
\(872\) | −10117.1 | − | 2970.65i | −0.392899 | − | 0.115366i | ||||
\(873\) | 3160.97 | + | 5023.37i | 0.122546 | + | 0.194748i | ||||
\(874\) | −6328.63 | + | 23033.6i | −0.244930 | + | 0.891446i | ||||
\(875\) | − | 31468.8i | − | 1.21582i | ||||||
\(876\) | 85.1837 | − | 17845.1i | 0.00328549 | − | 0.688276i | ||||
\(877\) | −19036.3 | + | 21969.0i | −0.732963 | + | 0.845884i | −0.992802 | − | 0.119768i | \(-0.961785\pi\) |
0.259839 | + | 0.965652i | \(0.416331\pi\) | |||||||
\(878\) | −59.5491 | + | 92.6602i | −0.00228894 | + | 0.00356165i | ||||
\(879\) | 30826.1 | − | 4282.04i | 1.18287 | − | 0.164311i | ||||
\(880\) | −8026.76 | + | 5158.49i | −0.307480 | + | 0.197605i | ||||
\(881\) | −16668.1 | − | 36498.1i | −0.637416 | − | 1.39575i | −0.902149 | − | 0.431425i | \(-0.858011\pi\) |
0.264733 | − | 0.964322i | \(-0.414716\pi\) | |||||||
\(882\) | −7158.42 | + | 23545.4i | −0.273284 | + | 0.898884i | ||||
\(883\) | −1976.73 | − | 13748.5i | −0.0753367 | − | 0.523978i | −0.992188 | − | 0.124750i | \(-0.960187\pi\) |
0.916852 | − | 0.399228i | \(-0.130722\pi\) | |||||||
\(884\) | −3895.64 | + | 8530.25i | −0.148218 | + | 0.324551i | ||||
\(885\) | −683.392 | + | 434.594i | −0.0259570 | + | 0.0165070i | ||||
\(886\) | 34733.8 | − | 10198.8i | 1.31705 | − | 0.386720i | ||||
\(887\) | −24322.8 | − | 11107.8i | −0.920720 | − | 0.420479i | −0.102074 | − | 0.994777i | \(-0.532548\pi\) |
−0.818646 | + | 0.574298i | \(0.805275\pi\) | |||||||
\(888\) | −20854.4 | + | 9403.84i | −0.788095 | + | 0.355374i | ||||
\(889\) | 47193.6 | − | 40893.5i | 1.78045 | − | 1.54277i | ||||
\(890\) | 23812.8 | − | 10874.9i | 0.896862 | − | 0.409583i | ||||
\(891\) | 896.895 | + | 7213.21i | 0.0337229 | + | 0.271214i | ||||
\(892\) | −275.014 | + | 1912.77i | −0.0103231 | + | 0.0717984i | ||||
\(893\) | 33207.6 | + | 21341.2i | 1.24440 | + | 0.799727i | ||||
\(894\) | 13041.2 | − | 28199.2i | 0.487877 | − | 1.05495i | ||||
\(895\) | 341.187 | − | 1161.98i | 0.0127426 | − | 0.0433973i | ||||
\(896\) | 37895.9 | 1.41296 | ||||||||
\(897\) | −12991.7 | − | 3636.34i | −0.483591 | − | 0.135355i | ||||
\(898\) | −49746.0 | −1.84860 | ||||||||
\(899\) | −6905.91 | + | 23519.4i | −0.256202 | + | 0.872542i | ||||
\(900\) | −300.613 | + | 1957.93i | −0.0111338 | + | 0.0725158i | ||||
\(901\) | 4188.17 | + | 2691.57i | 0.154859 | + | 0.0995220i | ||||
\(902\) | −45.9916 | + | 319.879i | −0.00169773 | + | 0.0118080i | ||||
\(903\) | −21429.6 | − | 18748.7i | −0.789735 | − | 0.690937i | ||||
\(904\) | 9720.88 | − | 4439.38i | 0.357646 | − | 0.163331i | ||||
\(905\) | −11741.4 | + | 10174.0i | −0.431269 | + | 0.373697i | ||||
\(906\) | 21887.0 | + | 48537.7i | 0.802591 | + | 1.77986i | ||||
\(907\) | 6542.95 | + | 2988.07i | 0.239532 | + | 0.109390i | 0.531564 | − | 0.847018i | \(-0.321604\pi\) |
−0.292033 | + | 0.956408i | \(0.594332\pi\) | |||||||
\(908\) | −4391.23 | + | 1289.38i | −0.160494 | + | 0.0471252i | ||||
\(909\) | −20271.1 | − | 17906.7i | −0.739659 | − | 0.653385i | ||||
\(910\) | 9993.31 | − | 21882.3i | 0.364039 | − | 0.797133i | ||||
\(911\) | 4587.15 | + | 31904.3i | 0.166827 | + | 1.16030i | 0.885392 | + | 0.464845i | \(0.153890\pi\) |
−0.718566 | + | 0.695459i | \(0.755201\pi\) | |||||||
\(912\) | 21743.5 | + | 14120.8i | 0.789475 | + | 0.512706i | ||||
\(913\) | 1934.53 | + | 4236.04i | 0.0701246 | + | 0.153551i | ||||
\(914\) | 48590.0 | − | 31226.9i | 1.75844 | − | 1.13008i | ||||
\(915\) | 5456.51 | + | 39281.0i | 0.197144 | + | 1.41923i | ||||
\(916\) | 619.136 | − | 963.394i | 0.0223328 | − | 0.0347505i | ||||
\(917\) | −31070.8 | + | 35857.7i | −1.11892 | + | 1.29130i | ||||
\(918\) | 40626.6 | − | 25294.5i | 1.46065 | − | 0.909414i | ||||
\(919\) | − | 26426.4i | − | 0.948559i | −0.880374 | − | 0.474279i | \(-0.842709\pi\) | ||
0.880374 | − | 0.474279i | \(-0.157291\pi\) | |||||||
\(920\) | −7219.38 | + | 16567.8i | −0.258713 | + | 0.593721i | ||||
\(921\) | 1389.27 | + | 4816.35i | 0.0497047 | + | 0.172317i | ||||
\(922\) | −12204.6 | − | 3583.60i | −0.435941 | − | 0.128004i | ||||
\(923\) | −6023.57 | − | 5219.45i | −0.214808 | − | 0.186132i | ||||
\(924\) | 4953.50 | + | 1480.20i | 0.176362 | + | 0.0527002i | ||||
\(925\) | 5756.18 | + | 827.614i | 0.204608 | + | 0.0294181i | ||||
\(926\) | −16377.6 | − | 25484.0i | −0.581211 | − | 0.904382i | ||||
\(927\) | −23131.3 | + | 35248.5i | −0.819559 | + | 1.24888i | ||||
\(928\) | −18031.7 | − | 20809.7i | −0.637844 | − | 0.736112i | ||||
\(929\) | 4033.65 | − | 579.951i | 0.142454 | − | 0.0204818i | −0.0707189 | − | 0.997496i | \(-0.522529\pi\) |
0.213173 | + | 0.977014i | \(0.431620\pi\) | |||||||
\(930\) | −4750.91 | + | 31959.6i | −0.167515 | + | 1.12688i | ||||
\(931\) | −4612.94 | − | 15710.2i | −0.162388 | − | 0.553042i | ||||
\(932\) | −4478.49 | − | 15252.3i | −0.157401 | − | 0.536059i | ||||
\(933\) | −8088.73 | + | 54413.2i | −0.283830 | + | 1.90933i | ||||
\(934\) | 5830.60 | − | 838.313i | 0.204264 | − | 0.0293688i | ||||
\(935\) | −7673.72 | − | 8855.94i | −0.268404 | − | 0.309754i | ||||
\(936\) | −4775.78 | + | 7277.54i | −0.166775 | + | 0.254139i | ||||
\(937\) | −29228.6 | − | 45480.7i | −1.01906 | − | 1.58569i | −0.790789 | − | 0.612089i | \(-0.790329\pi\) |
−0.228270 | − | 0.973598i | \(-0.573307\pi\) | |||||||
\(938\) | −83464.0 | − | 12000.3i | −2.90533 | − | 0.417723i | ||||
\(939\) | −7638.62 | − | 2282.56i | −0.265471 | − | 0.0793276i | ||||
\(940\) | −23201.5 | − | 20104.2i | −0.805053 | − | 0.697582i | ||||
\(941\) | 20275.9 | + | 5953.53i | 0.702417 | + | 0.206248i | 0.613389 | − | 0.789781i | \(-0.289806\pi\) |
0.0890278 | + | 0.996029i | \(0.471624\pi\) | |||||||
\(942\) | 3022.69 | + | 10479.1i | 0.104548 | + | 0.362450i | ||||
\(943\) | 444.031 | + | 929.017i | 0.0153337 | + | 0.0320816i | ||||
\(944\) | − | 1042.32i | − | 0.0359372i | ||||||
\(945\) | −35057.2 | + | 21826.9i | −1.20678 | + | 0.751354i | ||||
\(946\) | −5048.52 | + | 5826.30i | −0.173511 | + | 0.200243i | ||||
\(947\) | 8674.32 | − | 13497.5i | 0.297653 | − | 0.463157i | −0.659925 | − | 0.751332i | \(-0.729412\pi\) |
0.957578 | + | 0.288174i | \(0.0930483\pi\) | |||||||
\(948\) | 1958.05 | + | 14095.9i | 0.0670828 | + | 0.482925i | ||||
\(949\) | −16770.0 | + | 10777.4i | −0.573631 | + | 0.368650i | ||||
\(950\) | −1627.57 | − | 3563.88i | −0.0555846 | − | 0.121713i | ||||
\(951\) | −12674.9 | − | 8231.39i | −0.432187 | − | 0.280674i | ||||
\(952\) | 4712.43 | + | 32775.7i | 0.160431 | + | 1.11583i | ||||
\(953\) | 13664.3 | − | 29920.6i | 0.464459 | − | 1.01702i | −0.521990 | − | 0.852952i | \(-0.674810\pi\) |
0.986449 | − | 0.164071i | \(-0.0524626\pi\) | |||||||
\(954\) | −3560.26 | − | 3144.99i | −0.120826 | − | 0.106732i | ||||
\(955\) | −30854.9 | + | 9059.81i | −1.04549 | + | 0.306983i | ||||
\(956\) | 820.552 | + | 374.734i | 0.0277600 | + | 0.0126776i | ||||
\(957\) | 3486.91 | + | 7732.74i | 0.117780 | + | 0.261195i | ||||
\(958\) | −15988.3 | + | 13854.0i | −0.539206 | + | 0.467225i | ||||
\(959\) | −15527.1 | + | 7090.98i | −0.522832 | + | 0.238769i | ||||
\(960\) | 2621.78 | + | 2293.79i | 0.0881434 | + | 0.0771164i | ||||
\(961\) | 1049.68 | − | 7300.71i | 0.0352349 | − | 0.245064i | ||||
\(962\) | −22099.3 | − | 14202.4i | −0.740655 | − | 0.475990i | ||||
\(963\) | 4530.23 | − | 29505.9i | 0.151594 | − | 0.987347i | ||||
\(964\) | −7723.70 | + | 26304.5i | −0.258053 | + | 0.878849i | ||||
\(965\) | −3824.45 | −0.127579 | ||||||||
\(966\) | 46806.7 | − | 14391.1i | 1.55899 | − | 0.479325i | ||||
\(967\) | 3365.00 | 0.111904 | 0.0559519 | − | 0.998433i | \(-0.482181\pi\) | ||||
0.0559519 | + | 0.998433i | \(0.482181\pi\) | |||||||
\(968\) | 4752.43 | − | 16185.3i | 0.157799 | − | 0.537413i | ||||
\(969\) | −13365.3 | + | 28900.1i | −0.443092 | + | 0.958106i | ||||
\(970\) | 7680.49 | + | 4935.95i | 0.254233 | + | 0.163385i | ||||
\(971\) | −3439.27 | + | 23920.6i | −0.113668 | + | 0.790577i | 0.850632 | + | 0.525762i | \(0.176220\pi\) |
−0.964299 | + | 0.264815i | \(0.914689\pi\) | |||||||
\(972\) | −14121.1 | + | 6045.88i | −0.465982 | + | 0.199508i | ||||
\(973\) | 18422.6 | − | 8413.31i | 0.606989 | − | 0.277203i | ||||
\(974\) | −19339.4 | + | 16757.7i | −0.636216 | + | 0.551285i | ||||
\(975\) | 2017.17 | − | 909.601i | 0.0662577 | − | 0.0298775i | ||||
\(976\) | −46428.3 | − | 21203.1i | −1.52268 | − | 0.695384i | ||||
\(977\) | 760.756 | − | 223.378i | 0.0249117 | − | 0.00731474i | −0.269253 | − | 0.963069i | \(-0.586777\pi\) |
0.294165 | + | 0.955755i | \(0.404959\pi\) | |||||||
\(978\) | 3362.48 | − | 2138.32i | 0.109939 | − | 0.0699141i | ||||
\(979\) | 2610.75 | − | 5716.74i | 0.0852297 | − | 0.186627i | ||||
\(980\) | 1812.25 | + | 12604.5i | 0.0590718 | + | 0.410853i | ||||
\(981\) | −6046.10 | + | 19886.8i | −0.196776 | + | 0.647234i | ||||
\(982\) | 23858.5 | + | 52242.8i | 0.775311 | + | 1.69769i | ||||
\(983\) | −33983.1 | + | 21839.6i | −1.10264 | + | 0.708622i | −0.959677 | − | 0.281106i | \(-0.909299\pi\) |
−0.142961 | + | 0.989728i | \(0.545662\pi\) | |||||||
\(984\) | 658.047 | − | 91.4090i | 0.0213189 | − | 0.00296139i | ||||
\(985\) | 2814.75 | − | 4379.83i | 0.0910510 | − | 0.141678i | ||||
\(986\) | 36573.4 | − | 42207.9i | 1.18127 | − | 1.36326i | ||||
\(987\) | 386.278 | − | 80921.1i | 0.0124573 | − | 2.60967i | ||||
\(988\) | 5953.42i | 0.191704i | ||||||||
\(989\) | −3070.71 | + | 24370.7i | −0.0987290 | + | 0.783562i | ||||
\(990\) | 5954.96 | + | 9463.54i | 0.191173 | + | 0.303809i | ||||
\(991\) | −18095.5 | − | 5313.33i | −0.580044 | − | 0.170316i | −0.0214680 | − | 0.999770i | \(-0.506834\pi\) |
−0.558576 | + | 0.829453i | \(0.688652\pi\) | |||||||
\(992\) | −19029.4 | − | 16489.0i | −0.609055 | − | 0.527750i | ||||
\(993\) | −6230.08 | + | 20849.0i | −0.199099 | + | 0.666287i | ||||
\(994\) | 28635.9 | + | 4117.22i | 0.913757 | + | 0.131378i | ||||
\(995\) | 23258.5 | + | 36190.9i | 0.741049 | + | 1.15309i | ||||
\(996\) | −7468.23 | + | 6409.10i | −0.237590 | + | 0.203896i | ||||
\(997\) | −19605.5 | − | 22625.9i | −0.622780 | − | 0.718726i | 0.353452 | − | 0.935452i | \(-0.385008\pi\) |
−0.976232 | + | 0.216726i | \(0.930462\pi\) | |||||||
\(998\) | 45768.3 | − | 6580.49i | 1.45167 | − | 0.208719i | ||||
\(999\) | 18144.3 | + | 41285.0i | 0.574634 | + | 1.30751i |
(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 | 69.4.g.a.5.6 | ✓ | 220 | |
3.2 | odd | 2 | inner | 69.4.g.a.5.17 | yes | 220 | |
23.14 | odd | 22 | inner | 69.4.g.a.14.17 | yes | 220 | |
69.14 | even | 22 | inner | 69.4.g.a.14.6 | yes | 220 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.4.g.a.5.6 | ✓ | 220 | 1.1 | even | 1 | trivial | |
69.4.g.a.5.17 | yes | 220 | 3.2 | odd | 2 | inner | |
69.4.g.a.14.6 | yes | 220 | 69.14 | even | 22 | inner | |
69.4.g.a.14.17 | yes | 220 | 23.14 | odd | 22 | inner |