Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,4,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), 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: | \(6.37220628062\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.19 | ||
Character | \(\chi\) | \(=\) | 108.59 |
Dual form | 108.4.l.a.11.19 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.17164 | − | 2.57435i | −0.414238 | − | 0.910169i | ||||
\(3\) | 4.92086 | − | 1.66888i | 0.947019 | − | 0.321177i | ||||
\(4\) | −5.25451 | + | 6.03242i | −0.656814 | + | 0.754052i | ||||
\(5\) | 3.67143 | + | 10.0872i | 0.328382 | + | 0.902223i | 0.988522 | + | 0.151080i | \(0.0482751\pi\) |
−0.660139 | + | 0.751143i | \(0.729503\pi\) | |||||||
\(6\) | −10.0618 | − | 10.7127i | −0.684616 | − | 0.728904i | ||||
\(7\) | 6.04634 | − | 1.06613i | 0.326472 | − | 0.0575658i | −0.00801032 | − | 0.999968i | \(-0.502550\pi\) |
0.334482 | + | 0.942402i | \(0.391439\pi\) | |||||||
\(8\) | 21.6859 | + | 6.45911i | 0.958392 | + | 0.285455i | ||||
\(9\) | 21.4296 | − | 16.4247i | 0.793691 | − | 0.608322i | ||||
\(10\) | 21.6662 | − | 21.2701i | 0.685147 | − | 0.672618i | ||||
\(11\) | 31.0921 | + | 11.3166i | 0.852239 | + | 0.310190i | 0.730953 | − | 0.682428i | \(-0.239076\pi\) |
0.121286 | + | 0.992618i | \(0.461298\pi\) | |||||||
\(12\) | −15.7893 | + | 38.4538i | −0.379831 | + | 0.925056i | ||||
\(13\) | 33.3096 | + | 27.9501i | 0.710649 | + | 0.596305i | 0.924781 | − | 0.380500i | \(-0.124248\pi\) |
−0.214132 | + | 0.976805i | \(0.568692\pi\) | |||||||
\(14\) | −9.82873 | − | 14.3162i | −0.187631 | − | 0.273298i | ||||
\(15\) | 34.9009 | + | 43.5103i | 0.600758 | + | 0.748954i | ||||
\(16\) | −8.78017 | − | 63.3949i | −0.137190 | − | 0.990545i | ||||
\(17\) | −97.6451 | − | 56.3755i | −1.39308 | − | 0.804297i | −0.399428 | − | 0.916764i | \(-0.630791\pi\) |
−0.993655 | + | 0.112467i | \(0.964125\pi\) | |||||||
\(18\) | −67.3907 | − | 35.9235i | −0.882452 | − | 0.470403i | ||||
\(19\) | 87.7369 | − | 50.6549i | 1.05938 | − | 0.611633i | 0.134119 | − | 0.990965i | \(-0.457179\pi\) |
0.925261 | + | 0.379332i | \(0.123846\pi\) | |||||||
\(20\) | −80.1416 | − | 30.8555i | −0.896010 | − | 0.344975i | ||||
\(21\) | 27.9739 | − | 15.3369i | 0.290686 | − | 0.159371i | ||||
\(22\) | −7.29595 | − | 93.3009i | −0.0707046 | − | 0.904174i | ||||
\(23\) | −28.7938 | + | 163.298i | −0.261040 | + | 1.48043i | 0.519040 | + | 0.854750i | \(0.326290\pi\) |
−0.780080 | + | 0.625680i | \(0.784821\pi\) | |||||||
\(24\) | 117.493 | − | 4.40701i | 0.999297 | − | 0.0374823i | ||||
\(25\) | 7.48410 | − | 6.27990i | 0.0598728 | − | 0.0502392i | ||||
\(26\) | 32.9263 | − | 118.498i | 0.248361 | − | 0.893822i | ||||
\(27\) | 78.0413 | − | 116.587i | 0.556261 | − | 0.831007i | ||||
\(28\) | −25.3392 | + | 42.0761i | −0.171024 | + | 0.283987i | ||||
\(29\) | −127.814 | − | 152.323i | −0.818432 | − | 0.975369i | 0.181536 | − | 0.983384i | \(-0.441893\pi\) |
−0.999968 | + | 0.00801543i | \(0.997449\pi\) | |||||||
\(30\) | 71.1192 | − | 140.825i | 0.432818 | − | 0.857036i | ||||
\(31\) | 66.6999 | + | 11.7610i | 0.386440 | + | 0.0681398i | 0.363493 | − | 0.931597i | \(-0.381584\pi\) |
0.0229470 | + | 0.999737i | \(0.492695\pi\) | |||||||
\(32\) | −152.913 | + | 96.8792i | −0.844734 | + | 0.535187i | ||||
\(33\) | 171.886 | + | 3.79823i | 0.906712 | + | 0.0200360i | ||||
\(34\) | −30.7248 | + | 317.424i | −0.154978 | + | 1.60111i | ||||
\(35\) | 32.9529 | + | 57.0762i | 0.159145 | + | 0.275647i | ||||
\(36\) | −13.5218 | + | 215.576i | −0.0626010 | + | 0.998039i | ||||
\(37\) | 98.0242 | − | 169.783i | 0.435543 | − | 0.754382i | −0.561797 | − | 0.827275i | \(-0.689890\pi\) |
0.997340 | + | 0.0728930i | \(0.0232232\pi\) | |||||||
\(38\) | −233.199 | − | 166.516i | −0.995525 | − | 0.710853i | ||||
\(39\) | 210.557 | + | 81.9485i | 0.864517 | + | 0.336468i | ||||
\(40\) | 14.4643 | + | 242.464i | 0.0571752 | + | 0.958422i | ||||
\(41\) | −133.306 | + | 158.868i | −0.507779 | + | 0.605147i | −0.957646 | − | 0.287948i | \(-0.907027\pi\) |
0.449867 | + | 0.893095i | \(0.351471\pi\) | |||||||
\(42\) | −72.2579 | − | 54.0451i | −0.265468 | − | 0.198556i | ||||
\(43\) | −98.0684 | + | 269.441i | −0.347798 | + | 0.955566i | 0.635265 | + | 0.772294i | \(0.280891\pi\) |
−0.983062 | + | 0.183272i | \(0.941331\pi\) | |||||||
\(44\) | −231.641 | + | 128.097i | −0.793662 | + | 0.438896i | ||||
\(45\) | 244.356 | + | 155.862i | 0.809476 | + | 0.516324i | ||||
\(46\) | 454.120 | − | 117.201i | 1.45557 | − | 0.375660i | ||||
\(47\) | 10.0291 | + | 56.8776i | 0.0311253 | + | 0.176520i | 0.996407 | − | 0.0846893i | \(-0.0269898\pi\) |
−0.965282 | + | 0.261210i | \(0.915879\pi\) | |||||||
\(48\) | −149.005 | − | 297.304i | −0.448062 | − | 0.894003i | ||||
\(49\) | −286.893 | + | 104.421i | −0.836423 | + | 0.304433i | ||||
\(50\) | −24.9353 | − | 11.9089i | −0.0705277 | − | 0.0336834i | ||||
\(51\) | −574.582 | − | 114.457i | −1.57760 | − | 0.314259i | ||||
\(52\) | −343.633 | + | 54.0735i | −0.916410 | + | 0.144205i | ||||
\(53\) | 127.223i | 0.329726i | 0.986317 | + | 0.164863i | \(0.0527181\pi\) | ||||
−0.986317 | + | 0.164863i | \(0.947282\pi\) | |||||||
\(54\) | −391.572 | − | 64.3071i | −0.986781 | − | 0.162057i | ||||
\(55\) | 355.179i | 0.870771i | ||||||||
\(56\) | 138.007 | + | 15.9338i | 0.329320 | + | 0.0380223i | ||||
\(57\) | 347.203 | − | 395.688i | 0.806811 | − | 0.919477i | ||||
\(58\) | −242.380 | + | 507.506i | −0.548725 | + | 1.14895i | ||||
\(59\) | −190.496 | + | 69.3349i | −0.420347 | + | 0.152994i | −0.543529 | − | 0.839390i | \(-0.682912\pi\) |
0.123182 | + | 0.992384i | \(0.460690\pi\) | |||||||
\(60\) | −445.859 | − | 18.0887i | −0.959337 | − | 0.0389207i | ||||
\(61\) | 64.6265 | + | 366.515i | 0.135649 | + | 0.769302i | 0.974406 | + | 0.224796i | \(0.0721716\pi\) |
−0.838757 | + | 0.544506i | \(0.816717\pi\) | |||||||
\(62\) | −47.8715 | − | 185.488i | −0.0980594 | − | 0.379952i | ||||
\(63\) | 112.060 | − | 122.156i | 0.224099 | − | 0.244289i | ||||
\(64\) | 428.560 | + | 280.144i | 0.837031 | + | 0.547155i | ||||
\(65\) | −159.643 | + | 438.617i | −0.304636 | + | 0.836980i | ||||
\(66\) | −191.611 | − | 446.944i | −0.357358 | − | 0.833561i | ||||
\(67\) | 310.659 | − | 370.229i | 0.566463 | − | 0.675085i | −0.404438 | − | 0.914566i | \(-0.632533\pi\) |
0.970901 | + | 0.239481i | \(0.0769772\pi\) | |||||||
\(68\) | 853.158 | − | 292.811i | 1.52148 | − | 0.522184i | ||||
\(69\) | 130.835 | + | 851.617i | 0.228270 | + | 1.48584i | ||||
\(70\) | 108.325 | − | 151.705i | 0.184961 | − | 0.259032i | ||||
\(71\) | 18.1604 | − | 31.4547i | 0.0303555 | − | 0.0525772i | −0.850449 | − | 0.526058i | \(-0.823669\pi\) |
0.880804 | + | 0.473481i | \(0.157003\pi\) | |||||||
\(72\) | 570.811 | − | 217.768i | 0.934315 | − | 0.356448i | ||||
\(73\) | −295.119 | − | 511.161i | −0.473165 | − | 0.819545i | 0.526363 | − | 0.850260i | \(-0.323555\pi\) |
−0.999528 | + | 0.0307142i | \(0.990222\pi\) | |||||||
\(74\) | −551.929 | − | 53.4236i | −0.867033 | − | 0.0839238i | ||||
\(75\) | 26.3477 | − | 43.3926i | 0.0405650 | − | 0.0668073i | ||||
\(76\) | −155.443 | + | 795.433i | −0.234612 | + | 1.20056i | ||||
\(77\) | 200.059 | + | 35.2757i | 0.296088 | + | 0.0522083i | ||||
\(78\) | −35.7340 | − | 638.062i | −0.0518728 | − | 0.926235i | ||||
\(79\) | −697.087 | − | 830.756i | −0.992765 | − | 1.18313i | −0.983080 | − | 0.183179i | \(-0.941361\pi\) |
−0.00968573 | − | 0.999953i | \(-0.503083\pi\) | |||||||
\(80\) | 607.238 | − | 321.317i | 0.848642 | − | 0.449054i | ||||
\(81\) | 189.460 | − | 703.950i | 0.259890 | − | 0.965638i | ||||
\(82\) | 565.169 | + | 157.040i | 0.761127 | + | 0.211490i | ||||
\(83\) | 747.142 | − | 626.926i | 0.988066 | − | 0.829086i | 0.00277909 | − | 0.999996i | \(-0.499115\pi\) |
0.985287 | + | 0.170911i | \(0.0546709\pi\) | |||||||
\(84\) | −54.4705 | + | 249.338i | −0.0707526 | + | 0.323870i | ||||
\(85\) | 210.171 | − | 1191.94i | 0.268192 | − | 1.52099i | ||||
\(86\) | 808.535 | − | 63.2259i | 1.01380 | − | 0.0792770i | ||||
\(87\) | −883.165 | − | 536.253i | −1.08834 | − | 0.660832i | ||||
\(88\) | 601.167 | + | 446.239i | 0.728234 | + | 0.540559i | ||||
\(89\) | −646.453 | + | 373.230i | −0.769931 | + | 0.444520i | −0.832850 | − | 0.553499i | \(-0.813292\pi\) |
0.0629191 | + | 0.998019i | \(0.479959\pi\) | |||||||
\(90\) | 114.946 | − | 811.671i | 0.134627 | − | 0.950640i | ||||
\(91\) | 231.200 | + | 133.483i | 0.266333 | + | 0.153768i | ||||
\(92\) | −833.782 | − | 1031.75i | −0.944867 | − | 1.16921i | ||||
\(93\) | 347.848 | − | 53.4403i | 0.387851 | − | 0.0595860i | ||||
\(94\) | 134.672 | − | 92.4584i | 0.147770 | − | 0.101451i | ||||
\(95\) | 833.084 | + | 699.040i | 0.899712 | + | 0.754948i | ||||
\(96\) | −590.783 | + | 731.923i | −0.628089 | + | 0.778141i | ||||
\(97\) | −842.323 | − | 306.580i | −0.881700 | − | 0.320913i | −0.138804 | − | 0.990320i | \(-0.544326\pi\) |
−0.742896 | + | 0.669407i | \(0.766548\pi\) | |||||||
\(98\) | 604.950 | + | 616.218i | 0.623563 | + | 0.635178i | ||||
\(99\) | 852.165 | − | 268.167i | 0.865109 | − | 0.272241i | ||||
\(100\) | −1.44228 | + | 78.1451i | −0.00144228 | + | 0.0781451i | ||||
\(101\) | −1891.54 | + | 333.530i | −1.86352 | + | 0.328589i | −0.987983 | − | 0.154560i | \(-0.950604\pi\) |
−0.875538 | + | 0.483149i | \(0.839493\pi\) | |||||||
\(102\) | 378.552 | + | 1613.27i | 0.367473 | + | 1.56606i | ||||
\(103\) | 211.878 | + | 582.130i | 0.202689 | + | 0.556884i | 0.998837 | − | 0.0482187i | \(-0.0153544\pi\) |
−0.796148 | + | 0.605102i | \(0.793132\pi\) | |||||||
\(104\) | 541.818 | + | 821.275i | 0.510862 | + | 0.774352i | ||||
\(105\) | 257.410 | + | 225.869i | 0.239244 | + | 0.209929i | ||||
\(106\) | 327.517 | − | 149.060i | 0.300106 | − | 0.136585i | ||||
\(107\) | −2052.44 | −1.85436 | −0.927182 | − | 0.374612i | \(-0.877776\pi\) | ||||
−0.927182 | + | 0.374612i | \(0.877776\pi\) | |||||||
\(108\) | 293.233 | + | 1083.39i | 0.261263 | + | 0.965268i | ||||
\(109\) | 294.553 | 0.258836 | 0.129418 | − | 0.991590i | \(-0.458689\pi\) | ||||
0.129418 | + | 0.991590i | \(0.458689\pi\) | |||||||
\(110\) | 914.355 | − | 416.143i | 0.792548 | − | 0.360706i | ||||
\(111\) | 199.015 | − | 999.068i | 0.170177 | − | 0.854301i | ||||
\(112\) | −120.675 | − | 373.946i | −0.101810 | − | 0.315487i | ||||
\(113\) | −274.127 | − | 753.158i | −0.228210 | − | 0.627001i | 0.771750 | − | 0.635925i | \(-0.219381\pi\) |
−0.999960 | + | 0.00892451i | \(0.997159\pi\) | |||||||
\(114\) | −1425.44 | − | 430.217i | −1.17109 | − | 0.353452i | ||||
\(115\) | −1752.92 | + | 309.088i | −1.42140 | + | 0.250631i | ||||
\(116\) | 1590.48 | + | 29.3546i | 1.27304 | + | 0.0234958i | ||||
\(117\) | 1172.89 | + | 51.8607i | 0.926781 | + | 0.0409788i | ||||
\(118\) | 401.685 | + | 409.167i | 0.313374 | + | 0.319211i | ||||
\(119\) | −650.499 | − | 236.762i | −0.501102 | − | 0.182386i | ||||
\(120\) | 475.821 | + | 1168.99i | 0.361969 | + | 0.889281i | ||||
\(121\) | −180.950 | − | 151.835i | −0.135951 | − | 0.114076i | ||||
\(122\) | 867.817 | − | 595.795i | 0.644004 | − | 0.442137i | ||||
\(123\) | −390.848 | + | 1004.24i | −0.286517 | + | 0.736173i | ||||
\(124\) | −421.423 | + | 340.563i | −0.305200 | + | 0.246641i | ||||
\(125\) | 1252.87 | + | 723.345i | 0.896482 | + | 0.517584i | ||||
\(126\) | −445.766 | − | 145.358i | −0.315175 | − | 0.102774i | ||||
\(127\) | 502.438 | − | 290.083i | 0.351056 | − | 0.202682i | −0.314094 | − | 0.949392i | \(-0.601701\pi\) |
0.665150 | + | 0.746709i | \(0.268367\pi\) | |||||||
\(128\) | 219.068 | − | 1431.49i | 0.151274 | − | 0.988492i | ||||
\(129\) | −32.9150 | + | 1489.54i | −0.0224652 | + | 1.01664i | ||||
\(130\) | 1316.20 | − | 102.924i | 0.887984 | − | 0.0694387i | ||||
\(131\) | 273.117 | − | 1548.92i | 0.182155 | − | 1.03305i | −0.747401 | − | 0.664373i | \(-0.768699\pi\) |
0.929556 | − | 0.368680i | \(-0.120190\pi\) | |||||||
\(132\) | −926.090 | + | 1016.93i | −0.610650 | + | 0.670549i | ||||
\(133\) | 476.482 | − | 399.816i | 0.310648 | − | 0.260665i | ||||
\(134\) | −1317.08 | − | 365.968i | −0.849092 | − | 0.235932i | ||||
\(135\) | 1462.56 | + | 359.174i | 0.932421 | + | 0.228984i | ||||
\(136\) | −1753.39 | − | 1853.25i | −1.10553 | − | 1.16849i | ||||
\(137\) | 759.057 | + | 904.609i | 0.473362 | + | 0.564131i | 0.948905 | − | 0.315561i | \(-0.102193\pi\) |
−0.475543 | + | 0.879692i | \(0.657748\pi\) | |||||||
\(138\) | 2039.07 | − | 1334.60i | 1.25780 | − | 0.823254i | ||||
\(139\) | −1664.04 | − | 293.414i | −1.01541 | − | 0.179044i | −0.358910 | − | 0.933372i | \(-0.616852\pi\) |
−0.656497 | + | 0.754328i | \(0.727963\pi\) | |||||||
\(140\) | −517.459 | − | 101.122i | −0.312381 | − | 0.0610452i | ||||
\(141\) | 144.274 | + | 263.149i | 0.0861705 | + | 0.157171i | ||||
\(142\) | −102.253 | − | 9.89747i | −0.0604285 | − | 0.00584913i | ||||
\(143\) | 719.367 | + | 1245.98i | 0.420675 | + | 0.728630i | ||||
\(144\) | −1229.40 | − | 1214.32i | −0.711456 | − | 0.702730i | ||||
\(145\) | 1067.25 | − | 1848.53i | 0.611242 | − | 1.05870i | ||||
\(146\) | −970.131 | + | 1358.63i | −0.549922 | + | 0.770146i | ||||
\(147\) | −1237.49 | + | 992.630i | −0.694331 | + | 0.556944i | ||||
\(148\) | 509.132 | + | 1483.45i | 0.282773 | + | 0.823911i | ||||
\(149\) | −863.471 | + | 1029.04i | −0.474754 | + | 0.565789i | −0.949272 | − | 0.314456i | \(-0.898178\pi\) |
0.474518 | + | 0.880246i | \(0.342622\pi\) | |||||||
\(150\) | −142.578 | − | 16.9876i | −0.0776094 | − | 0.00924689i | ||||
\(151\) | 538.096 | − | 1478.41i | 0.289998 | − | 0.796762i | −0.706068 | − | 0.708144i | \(-0.749533\pi\) |
0.996066 | − | 0.0886181i | \(-0.0282451\pi\) | |||||||
\(152\) | 2229.84 | − | 531.798i | 1.18990 | − | 0.283779i | ||||
\(153\) | −3018.45 | + | 395.684i | −1.59495 | + | 0.209080i | ||||
\(154\) | −143.585 | − | 556.350i | −0.0751325 | − | 0.291117i | ||||
\(155\) | 126.249 | + | 715.992i | 0.0654228 | + | 0.371031i | ||||
\(156\) | −1600.73 | + | 839.571i | −0.821542 | + | 0.430894i | ||||
\(157\) | 416.305 | − | 151.523i | 0.211623 | − | 0.0770243i | −0.234034 | − | 0.972228i | \(-0.575193\pi\) |
0.445656 | + | 0.895204i | \(0.352970\pi\) | |||||||
\(158\) | −1321.92 | + | 2767.89i | −0.665609 | + | 1.39368i | ||||
\(159\) | 212.321 | + | 626.047i | 0.105900 | + | 0.312256i | ||||
\(160\) | −1538.65 | − | 1186.77i | −0.760254 | − | 0.586392i | ||||
\(161\) | 1018.05i | 0.498345i | ||||||||
\(162\) | −2034.19 | + | 337.043i | −0.986550 | + | 0.163460i | ||||
\(163\) | 1494.16i | 0.717983i | 0.933341 | + | 0.358992i | \(0.116879\pi\) | ||||
−0.933341 | + | 0.358992i | \(0.883121\pi\) | |||||||
\(164\) | −257.900 | − | 1638.93i | −0.122796 | − | 0.780361i | ||||
\(165\) | 592.753 | + | 1747.79i | 0.279671 | + | 0.824636i | ||||
\(166\) | −2489.31 | − | 1188.87i | −1.16390 | − | 0.555868i | ||||
\(167\) | 3382.51 | − | 1231.13i | 1.56734 | − | 0.570466i | 0.594939 | − | 0.803771i | \(-0.297176\pi\) |
0.972404 | + | 0.233305i | \(0.0749540\pi\) | |||||||
\(168\) | 705.703 | − | 151.909i | 0.324084 | − | 0.0697622i | ||||
\(169\) | −53.1813 | − | 301.606i | −0.0242063 | − | 0.137281i | ||||
\(170\) | −3314.71 | + | 855.473i | −1.49545 | + | 0.385952i | ||||
\(171\) | 1048.18 | − | 2526.57i | 0.468750 | − | 1.12989i | ||||
\(172\) | −1110.08 | − | 2007.37i | −0.492108 | − | 0.889887i | ||||
\(173\) | 660.283 | − | 1814.11i | 0.290175 | − | 0.797251i | −0.705865 | − | 0.708347i | \(-0.749441\pi\) |
0.996040 | − | 0.0889040i | \(-0.0283364\pi\) | |||||||
\(174\) | −345.747 | + | 2901.87i | −0.150638 | + | 1.26431i | ||||
\(175\) | 38.5562 | − | 45.9495i | 0.0166547 | − | 0.0198483i | ||||
\(176\) | 444.421 | − | 2070.44i | 0.190338 | − | 0.886736i | ||||
\(177\) | −821.692 | + | 659.103i | −0.348939 | + | 0.279894i | ||||
\(178\) | 1718.23 | + | 1226.90i | 0.723522 | + | 0.516630i | ||||
\(179\) | −1901.75 | + | 3293.93i | −0.794097 | + | 1.37542i | 0.129313 | + | 0.991604i | \(0.458723\pi\) |
−0.923411 | + | 0.383813i | \(0.874611\pi\) | |||||||
\(180\) | −2224.20 | + | 655.076i | −0.921011 | + | 0.271258i | ||||
\(181\) | −820.925 | − | 1421.88i | −0.337121 | − | 0.583911i | 0.646769 | − | 0.762686i | \(-0.276120\pi\) |
−0.983890 | + | 0.178775i | \(0.942786\pi\) | |||||||
\(182\) | 72.7489 | − | 751.583i | 0.0296292 | − | 0.306105i | ||||
\(183\) | 929.689 | + | 1695.71i | 0.375544 | + | 0.684976i | ||||
\(184\) | −1679.18 | + | 3355.28i | −0.672775 | + | 1.34432i | ||||
\(185\) | 2072.52 | + | 365.441i | 0.823645 | + | 0.145231i | ||||
\(186\) | −545.127 | − | 832.869i | −0.214896 | − | 0.328327i | ||||
\(187\) | −2398.02 | − | 2857.84i | −0.937756 | − | 1.11757i | ||||
\(188\) | −395.807 | − | 238.365i | −0.153549 | − | 0.0924709i | ||||
\(189\) | 347.567 | − | 788.128i | 0.133766 | − | 0.303322i | ||||
\(190\) | 823.496 | − | 2963.67i | 0.314435 | − | 1.13162i | ||||
\(191\) | 1295.85 | − | 1087.34i | 0.490912 | − | 0.411924i | −0.363441 | − | 0.931617i | \(-0.618398\pi\) |
0.854353 | + | 0.519693i | \(0.173954\pi\) | |||||||
\(192\) | 2576.41 | + | 663.329i | 0.968418 | + | 0.249331i | ||||
\(193\) | 54.7577 | − | 310.546i | 0.0204225 | − | 0.115822i | −0.972892 | − | 0.231259i | \(-0.925716\pi\) |
0.993315 | + | 0.115437i | \(0.0368268\pi\) | |||||||
\(194\) | 197.656 | + | 2527.63i | 0.0731488 | + | 0.935430i | ||||
\(195\) | −53.5816 | + | 2424.80i | −0.0196772 | + | 0.890478i | ||||
\(196\) | 877.575 | − | 2279.34i | 0.319816 | − | 0.830663i | ||||
\(197\) | −1159.02 | + | 669.163i | −0.419173 | + | 0.242010i | −0.694723 | − | 0.719277i | \(-0.744473\pi\) |
0.275551 | + | 0.961287i | \(0.411140\pi\) | |||||||
\(198\) | −1688.79 | − | 1879.57i | −0.606146 | − | 0.674623i | ||||
\(199\) | 4652.47 | + | 2686.11i | 1.65731 | + | 0.956850i | 0.973948 | + | 0.226773i | \(0.0728174\pi\) |
0.683365 | + | 0.730077i | \(0.260516\pi\) | |||||||
\(200\) | 202.862 | − | 87.8450i | 0.0717226 | − | 0.0310579i | ||||
\(201\) | 910.839 | − | 2340.30i | 0.319630 | − | 0.821253i | ||||
\(202\) | 3074.83 | + | 4478.71i | 1.07101 | + | 1.56000i | ||||
\(203\) | −935.205 | − | 784.730i | −0.323343 | − | 0.271317i | ||||
\(204\) | 3709.60 | − | 2864.70i | 1.27316 | − | 0.983183i | ||||
\(205\) | −2091.95 | − | 761.408i | −0.712723 | − | 0.259410i | ||||
\(206\) | 1250.36 | − | 1227.50i | 0.422897 | − | 0.415163i | ||||
\(207\) | 2065.07 | + | 3972.34i | 0.693393 | + | 1.33380i | ||||
\(208\) | 1479.43 | − | 2357.07i | 0.493173 | − | 0.785737i | ||||
\(209\) | 3301.17 | − | 582.085i | 1.09257 | − | 0.192649i | ||||
\(210\) | 279.872 | − | 927.300i | 0.0919668 | − | 0.304713i | ||||
\(211\) | 1280.22 | + | 3517.39i | 0.417698 | + | 1.14762i | 0.953004 | + | 0.302958i | \(0.0979741\pi\) |
−0.535306 | + | 0.844658i | \(0.679804\pi\) | |||||||
\(212\) | −767.464 | − | 668.496i | −0.248630 | − | 0.216568i | ||||
\(213\) | 36.8703 | − | 185.091i | 0.0118606 | − | 0.0595411i | ||||
\(214\) | 2404.72 | + | 5283.69i | 0.768147 | + | 1.68778i | ||||
\(215\) | −3077.94 | −0.976344 | ||||||||
\(216\) | 2445.45 | − | 2024.22i | 0.770332 | − | 0.637643i | ||||
\(217\) | 415.829 | 0.130084 | ||||||||
\(218\) | −345.111 | − | 758.282i | −0.107219 | − | 0.235584i | ||||
\(219\) | −2305.30 | − | 2022.83i | −0.711315 | − | 0.624156i | ||||
\(220\) | −2142.59 | − | 1866.30i | −0.656607 | − | 0.571935i | ||||
\(221\) | −1676.83 | − | 4607.04i | −0.510387 | − | 1.40228i | ||||
\(222\) | −2805.12 | + | 658.216i | −0.848051 | + | 0.198994i | ||||
\(223\) | −705.067 | + | 124.322i | −0.211725 | + | 0.0373329i | −0.278505 | − | 0.960435i | \(-0.589839\pi\) |
0.0667792 | + | 0.997768i | \(0.478728\pi\) | |||||||
\(224\) | −821.278 | + | 748.790i | −0.244973 | + | 0.223351i | ||||
\(225\) | 57.2362 | − | 257.500i | 0.0169589 | − | 0.0762963i | ||||
\(226\) | −1617.71 | + | 1588.13i | −0.476144 | + | 0.467437i | ||||
\(227\) | 5206.35 | + | 1894.96i | 1.52228 | + | 0.554064i | 0.961716 | − | 0.274048i | \(-0.0883626\pi\) |
0.560563 | + | 0.828112i | \(0.310585\pi\) | |||||||
\(228\) | 562.573 | + | 4173.63i | 0.163409 | + | 1.21230i | ||||
\(229\) | 4236.13 | + | 3554.53i | 1.22241 | + | 1.02572i | 0.998695 | + | 0.0510659i | \(0.0162619\pi\) |
0.223712 | + | 0.974655i | \(0.428183\pi\) | |||||||
\(230\) | 2849.50 | + | 4150.49i | 0.816914 | + | 1.18989i | ||||
\(231\) | 1043.33 | − | 160.288i | 0.297169 | − | 0.0456544i | ||||
\(232\) | −1787.90 | − | 4128.84i | −0.505955 | − | 1.16841i | ||||
\(233\) | 4224.82 | + | 2439.20i | 1.18788 | + | 0.685825i | 0.957825 | − | 0.287352i | \(-0.0927749\pi\) |
0.230059 | + | 0.973177i | \(0.426108\pi\) | |||||||
\(234\) | −1240.69 | − | 3080.18i | −0.346610 | − | 0.860502i | ||||
\(235\) | −536.913 | + | 309.987i | −0.149040 | + | 0.0860481i | ||||
\(236\) | 582.707 | − | 1513.47i | 0.160725 | − | 0.417452i | ||||
\(237\) | −4816.70 | − | 2924.67i | −1.32016 | − | 0.801595i | ||||
\(238\) | 152.644 | + | 1952.01i | 0.0415731 | + | 0.531639i | ||||
\(239\) | 704.922 | − | 3997.81i | 0.190785 | − | 1.08199i | −0.727510 | − | 0.686097i | \(-0.759322\pi\) |
0.918295 | − | 0.395898i | \(-0.129566\pi\) | |||||||
\(240\) | 2451.89 | − | 2594.56i | 0.659454 | − | 0.697826i | ||||
\(241\) | −3225.14 | + | 2706.21i | −0.862031 | + | 0.723330i | −0.962405 | − | 0.271620i | \(-0.912441\pi\) |
0.100374 | + | 0.994950i | \(0.467996\pi\) | |||||||
\(242\) | −178.868 | + | 643.726i | −0.0475127 | + | 0.170993i | ||||
\(243\) | −242.508 | − | 3780.22i | −0.0640203 | − | 0.997949i | ||||
\(244\) | −2550.55 | − | 1536.00i | −0.669190 | − | 0.403002i | ||||
\(245\) | −2106.61 | − | 2510.56i | −0.549333 | − | 0.654670i | ||||
\(246\) | 3043.19 | − | 170.431i | 0.788728 | − | 0.0441719i | ||||
\(247\) | 4338.29 | + | 764.958i | 1.11757 | + | 0.197057i | ||||
\(248\) | 1370.48 | + | 685.869i | 0.350910 | + | 0.175616i | ||||
\(249\) | 2630.31 | − | 4331.91i | 0.669434 | − | 1.10250i | ||||
\(250\) | 394.226 | − | 4072.82i | 0.0997322 | − | 1.03035i | ||||
\(251\) | −2460.69 | − | 4262.05i | −0.618795 | − | 1.07178i | −0.989706 | − | 0.143116i | \(-0.954288\pi\) |
0.370911 | − | 0.928668i | \(-0.379046\pi\) | |||||||
\(252\) | 148.076 | + | 1317.86i | 0.0370154 | + | 0.329435i | ||||
\(253\) | −2743.23 | + | 4751.42i | −0.681682 | + | 1.18071i | ||||
\(254\) | −1335.45 | − | 953.576i | −0.329896 | − | 0.235562i | ||||
\(255\) | −954.989 | − | 6216.12i | −0.234524 | − | 1.52654i | ||||
\(256\) | −3941.82 | + | 1113.24i | −0.962358 | + | 0.271786i | ||||
\(257\) | −465.101 | + | 554.286i | −0.112888 | + | 0.134535i | −0.819529 | − | 0.573037i | \(-0.805765\pi\) |
0.706641 | + | 0.707572i | \(0.250209\pi\) | |||||||
\(258\) | 3873.17 | − | 1660.48i | 0.934623 | − | 0.400685i | ||||
\(259\) | 411.676 | − | 1131.07i | 0.0987657 | − | 0.271357i | ||||
\(260\) | −1807.07 | − | 3267.75i | −0.431038 | − | 0.779452i | ||||
\(261\) | −5240.87 | − | 1164.92i | −1.24292 | − | 0.276272i | ||||
\(262\) | −4307.46 | + | 1111.68i | −1.01571 | + | 0.262138i | ||||
\(263\) | 516.571 | + | 2929.62i | 0.121115 | + | 0.686875i | 0.983540 | + | 0.180691i | \(0.0578334\pi\) |
−0.862425 | + | 0.506184i | \(0.831056\pi\) | |||||||
\(264\) | 3702.98 | + | 1192.60i | 0.863267 | + | 0.278028i | ||||
\(265\) | −1283.32 | + | 467.091i | −0.297486 | + | 0.108276i | ||||
\(266\) | −1587.53 | − | 758.189i | −0.365931 | − | 0.174765i | ||||
\(267\) | −2558.22 | + | 2915.46i | −0.586370 | + | 0.668253i | ||||
\(268\) | 601.015 | + | 3819.40i | 0.136988 | + | 0.870549i | ||||
\(269\) | − | 4379.11i | − | 0.992562i | −0.868162 | − | 0.496281i | \(-0.834699\pi\) | ||
0.868162 | − | 0.496281i | \(-0.165301\pi\) | |||||||
\(270\) | −788.952 | − | 4185.95i | −0.177830 | − | 0.943514i | ||||
\(271\) | 4153.54i | 0.931031i | 0.885040 | + | 0.465515i | \(0.154131\pi\) | ||||
−0.885040 | + | 0.465515i | \(0.845869\pi\) | |||||||
\(272\) | −2716.57 | + | 6685.19i | −0.605575 | + | 1.49025i | ||||
\(273\) | 1360.47 | + | 271.006i | 0.301609 | + | 0.0600808i | ||||
\(274\) | 1439.43 | − | 3013.95i | 0.317370 | − | 0.664524i | ||||
\(275\) | 303.764 | − | 110.561i | 0.0666096 | − | 0.0242439i | ||||
\(276\) | −5824.79 | − | 3685.58i | −1.27033 | − | 0.803790i | ||||
\(277\) | 1199.20 | + | 6801.01i | 0.260119 | + | 1.47521i | 0.782582 | + | 0.622548i | \(0.213902\pi\) |
−0.522462 | + | 0.852662i | \(0.674986\pi\) | |||||||
\(278\) | 1194.30 | + | 4627.58i | 0.257660 | + | 0.998359i | ||||
\(279\) | 1622.52 | − | 843.490i | 0.348165 | − | 0.180998i | ||||
\(280\) | 345.955 | + | 1450.60i | 0.0738383 | + | 0.309606i | ||||
\(281\) | 343.835 | − | 944.680i | 0.0729946 | − | 0.200551i | −0.897830 | − | 0.440343i | \(-0.854857\pi\) |
0.970824 | + | 0.239792i | \(0.0770791\pi\) | |||||||
\(282\) | 508.400 | − | 679.727i | 0.107357 | − | 0.143536i | ||||
\(283\) | 5500.05 | − | 6554.70i | 1.15528 | − | 1.37681i | 0.241597 | − | 0.970377i | \(-0.422329\pi\) |
0.913682 | − | 0.406431i | \(-0.133227\pi\) | |||||||
\(284\) | 94.3239 | + | 274.830i | 0.0197081 | + | 0.0574231i | ||||
\(285\) | 5266.10 | + | 2049.56i | 1.09452 | + | 0.425983i | ||||
\(286\) | 2364.74 | − | 3311.74i | 0.488917 | − | 0.684711i | ||||
\(287\) | −636.640 | + | 1102.69i | −0.130940 | + | 0.226794i | ||||
\(288\) | −1685.66 | + | 4587.64i | −0.344891 | + | 0.938643i | ||||
\(289\) | 3899.88 | + | 6754.80i | 0.793789 | + | 1.37488i | ||||
\(290\) | −6009.18 | − | 581.654i | −1.21680 | − | 0.117779i | ||||
\(291\) | −4656.60 | − | 102.898i | −0.938056 | − | 0.0207286i | ||||
\(292\) | 4634.24 | + | 905.621i | 0.928762 | + | 0.181498i | ||||
\(293\) | −4681.05 | − | 825.395i | −0.933344 | − | 0.164574i | −0.313759 | − | 0.949503i | \(-0.601588\pi\) |
−0.619586 | + | 0.784929i | \(0.712699\pi\) | |||||||
\(294\) | 4005.27 | + | 2022.73i | 0.794531 | + | 0.401252i | ||||
\(295\) | −1398.79 | − | 1667.01i | −0.276069 | − | 0.329007i | ||||
\(296\) | 3222.39 | − | 3048.75i | 0.632763 | − | 0.598666i | ||||
\(297\) | 3745.84 | − | 2741.78i | 0.731838 | − | 0.535670i | ||||
\(298\) | 3660.80 | + | 1017.20i | 0.711625 | + | 0.197735i | ||||
\(299\) | −5523.30 | + | 4634.60i | −1.06830 | + | 0.896407i | ||||
\(300\) | 123.318 | + | 386.948i | 0.0237325 | + | 0.0744681i | ||||
\(301\) | −305.695 | + | 1733.68i | −0.0585382 | + | 0.331986i | ||||
\(302\) | −4436.39 | + | 346.917i | −0.845316 | + | 0.0661021i | ||||
\(303\) | −8751.39 | + | 4798.02i | −1.65926 | + | 0.909700i | ||||
\(304\) | −3981.61 | − | 5117.31i | −0.751187 | − | 0.965453i | ||||
\(305\) | −3459.82 | + | 1997.53i | −0.649537 | + | 0.375011i | ||||
\(306\) | 4555.17 | + | 7306.93i | 0.850986 | + | 1.36506i | ||||
\(307\) | −5956.82 | − | 3439.17i | −1.10741 | − | 0.639362i | −0.169250 | − | 0.985573i | \(-0.554135\pi\) |
−0.938156 | + | 0.346212i | \(0.887468\pi\) | |||||||
\(308\) | −1264.01 | + | 1021.48i | −0.233843 | + | 0.188975i | ||||
\(309\) | 2014.13 | + | 2510.98i | 0.370809 | + | 0.462280i | ||||
\(310\) | 1695.29 | − | 1163.89i | 0.310600 | − | 0.213241i | ||||
\(311\) | −2593.96 | − | 2176.59i | −0.472958 | − | 0.396859i | 0.374914 | − | 0.927060i | \(-0.377672\pi\) |
−0.847872 | + | 0.530201i | \(0.822117\pi\) | |||||||
\(312\) | 4036.82 | + | 3137.14i | 0.732500 | + | 0.569249i | ||||
\(313\) | 5929.30 | + | 2158.09i | 1.07075 | + | 0.389720i | 0.816456 | − | 0.577408i | \(-0.195936\pi\) |
0.254291 | + | 0.967128i | \(0.418158\pi\) | |||||||
\(314\) | −877.831 | − | 894.182i | −0.157767 | − | 0.160706i | ||||
\(315\) | 1643.63 | + | 681.881i | 0.293993 | + | 0.121967i | ||||
\(316\) | 8674.33 | + | 160.097i | 1.54421 | + | 0.0285006i | ||||
\(317\) | 5753.38 | − | 1014.48i | 1.01938 | − | 0.179744i | 0.361106 | − | 0.932525i | \(-0.382399\pi\) |
0.658271 | + | 0.752781i | \(0.271288\pi\) | |||||||
\(318\) | 1362.90 | − | 1280.09i | 0.240338 | − | 0.225736i | ||||
\(319\) | −2250.24 | − | 6182.47i | −0.394950 | − | 1.08512i | ||||
\(320\) | −1252.43 | + | 5351.48i | −0.218790 | + | 0.934865i | ||||
\(321\) | −10099.8 | + | 3425.29i | −1.75612 | + | 0.595579i | ||||
\(322\) | 2620.81 | − | 1192.79i | 0.453578 | − | 0.206433i | ||||
\(323\) | −11422.8 | −1.96774 | ||||||||
\(324\) | 3251.01 | + | 4841.82i | 0.557443 | + | 0.830215i | ||||
\(325\) | 424.817 | 0.0725064 | ||||||||
\(326\) | 3846.47 | − | 1750.61i | 0.653486 | − | 0.297416i | ||||
\(327\) | 1449.45 | − | 491.575i | 0.245122 | − | 0.0831321i | ||||
\(328\) | −3917.02 | + | 2584.17i | −0.659393 | + | 0.435020i | ||||
\(329\) | 121.278 | + | 333.209i | 0.0203230 | + | 0.0558371i | ||||
\(330\) | 3804.91 | − | 3573.73i | 0.634708 | − | 0.596144i | ||||
\(331\) | −1209.66 | + | 213.296i | −0.200873 | + | 0.0354193i | −0.273179 | − | 0.961963i | \(-0.588075\pi\) |
0.0723062 | + | 0.997382i | \(0.476964\pi\) | |||||||
\(332\) | −143.984 | + | 7801.26i | −0.0238016 | + | 1.28961i | ||||
\(333\) | −688.006 | − | 5248.40i | −0.113221 | − | 0.863696i | ||||
\(334\) | −7132.44 | − | 7265.30i | −1.16847 | − | 1.19024i | ||||
\(335\) | 4875.12 | + | 1774.40i | 0.795094 | + | 0.289390i | ||||
\(336\) | −1217.90 | − | 1638.74i | −0.197743 | − | 0.266073i | ||||
\(337\) | −3086.61 | − | 2589.97i | −0.498926 | − | 0.418649i | 0.358286 | − | 0.933612i | \(-0.383361\pi\) |
−0.857212 | + | 0.514963i | \(0.827806\pi\) | |||||||
\(338\) | −714.129 | + | 490.281i | −0.114922 | + | 0.0788987i | ||||
\(339\) | −2605.87 | − | 3248.69i | −0.417497 | − | 0.520486i | ||||
\(340\) | 6085.94 | + | 7530.91i | 0.970754 | + | 1.20124i | ||||
\(341\) | 1940.75 | + | 1120.49i | 0.308203 | + | 0.177941i | ||||
\(342\) | −7732.35 | + | 261.853i | −1.22257 | + | 0.0414018i | ||||
\(343\) | −3447.08 | + | 1990.17i | −0.542638 | + | 0.313292i | ||||
\(344\) | −3867.05 | + | 5209.64i | −0.606097 | + | 0.816527i | ||||
\(345\) | −8110.05 | + | 4446.40i | −1.26560 | + | 0.693873i | ||||
\(346\) | −5443.77 | + | 425.692i | −0.845834 | + | 0.0661426i | ||||
\(347\) | 1023.41 | − | 5804.05i | 0.158327 | − | 0.897919i | −0.797353 | − | 0.603513i | \(-0.793767\pi\) |
0.955680 | − | 0.294406i | \(-0.0951218\pi\) | |||||||
\(348\) | 7875.51 | − | 2509.88i | 1.21314 | − | 0.386619i | ||||
\(349\) | 4651.40 | − | 3902.99i | 0.713421 | − | 0.598631i | −0.212136 | − | 0.977240i | \(-0.568042\pi\) |
0.925557 | + | 0.378609i | \(0.123597\pi\) | |||||||
\(350\) | −163.464 | − | 45.4207i | −0.0249643 | − | 0.00693668i | ||||
\(351\) | 5858.15 | − | 1702.21i | 0.890840 | − | 0.258853i | ||||
\(352\) | −5850.74 | + | 1281.72i | −0.885924 | + | 0.194080i | ||||
\(353\) | −1425.14 | − | 1698.41i | −0.214879 | − | 0.256083i | 0.647828 | − | 0.761787i | \(-0.275677\pi\) |
−0.862707 | + | 0.505703i | \(0.831233\pi\) | |||||||
\(354\) | 2659.49 | + | 1343.09i | 0.399294 | + | 0.201651i | ||||
\(355\) | 383.963 | + | 67.7030i | 0.0574046 | + | 0.0101220i | ||||
\(356\) | 1145.32 | − | 5860.81i | 0.170510 | − | 0.872535i | ||||
\(357\) | −3596.14 | − | 79.4653i | −0.533132 | − | 0.0117808i | ||||
\(358\) | 10707.9 | + | 1036.46i | 1.58081 | + | 0.153013i | ||||
\(359\) | 2830.32 | + | 4902.27i | 0.416097 | + | 0.720701i | 0.995543 | − | 0.0943096i | \(-0.0300644\pi\) |
−0.579446 | + | 0.815011i | \(0.696731\pi\) | |||||||
\(360\) | 4292.35 | + | 4958.34i | 0.628408 | + | 0.725910i | ||||
\(361\) | 1702.34 | − | 2948.54i | 0.248191 | − | 0.429879i | ||||
\(362\) | −2698.59 | + | 3779.28i | −0.391809 | + | 0.548715i | ||||
\(363\) | −1143.83 | − | 445.175i | −0.165387 | − | 0.0643681i | ||||
\(364\) | −2020.07 | + | 693.305i | −0.290880 | + | 0.0998326i | ||||
\(365\) | 4072.65 | − | 4853.60i | 0.584034 | − | 0.696025i | ||||
\(366\) | 3276.09 | − | 4380.11i | 0.467880 | − | 0.625552i | ||||
\(367\) | −3425.21 | + | 9410.69i | −0.487179 | + | 1.33851i | 0.416046 | + | 0.909344i | \(0.363416\pi\) |
−0.903224 | + | 0.429169i | \(0.858807\pi\) | |||||||
\(368\) | 10605.0 | + | 391.597i | 1.50224 | + | 0.0554712i | ||||
\(369\) | −247.346 | + | 5594.00i | −0.0348952 | + | 0.789192i | ||||
\(370\) | −1487.47 | − | 5763.54i | −0.209000 | − | 0.809817i | ||||
\(371\) | 135.637 | + | 769.235i | 0.0189809 | + | 0.107646i | ||||
\(372\) | −1505.40 | + | 2379.17i | −0.209815 | + | 0.331597i | ||||
\(373\) | −10364.5 | + | 3772.38i | −1.43875 | + | 0.523663i | −0.939426 | − | 0.342751i | \(-0.888641\pi\) |
−0.499326 | + | 0.866414i | \(0.666419\pi\) | |||||||
\(374\) | −4547.47 | + | 9521.69i | −0.628727 | + | 1.31646i | ||||
\(375\) | 7372.38 | + | 1468.58i | 1.01522 | + | 0.202233i | ||||
\(376\) | −149.889 | + | 1298.22i | −0.0205583 | + | 0.178061i | ||||
\(377\) | − | 8646.25i | − | 1.18118i | ||||||
\(378\) | −2436.14 | + | 28.6453i | −0.331485 | + | 0.00389777i | ||||
\(379\) | 2954.00i | 0.400361i | 0.979759 | + | 0.200180i | \(0.0641528\pi\) | ||||
−0.979759 | + | 0.200180i | \(0.935847\pi\) | |||||||
\(380\) | −8594.35 | + | 1352.39i | −1.16021 | + | 0.182569i | ||||
\(381\) | 1988.31 | − | 2265.96i | 0.267360 | − | 0.304695i | ||||
\(382\) | −4317.47 | − | 2061.98i | −0.578274 | − | 0.276178i | ||||
\(383\) | −7673.68 | + | 2792.99i | −1.02378 | + | 0.372624i | −0.798708 | − | 0.601719i | \(-0.794483\pi\) |
−0.225069 | + | 0.974343i | \(0.572261\pi\) | |||||||
\(384\) | −1310.99 | − | 7409.75i | −0.174222 | − | 0.984706i | ||||
\(385\) | 378.668 | + | 2147.54i | 0.0501266 | + | 0.284282i | ||||
\(386\) | −863.610 | + | 222.884i | −0.113877 | + | 0.0293899i | ||||
\(387\) | 2323.91 | + | 7384.76i | 0.305248 | + | 0.969997i | ||||
\(388\) | 6275.42 | − | 3470.31i | 0.821098 | − | 0.454068i | ||||
\(389\) | −295.533 | + | 811.971i | −0.0385196 | + | 0.105832i | −0.957461 | − | 0.288562i | \(-0.906823\pi\) |
0.918942 | + | 0.394393i | \(0.129045\pi\) | |||||||
\(390\) | 6305.04 | − | 2703.05i | 0.818636 | − | 0.350960i | ||||
\(391\) | 12017.5 | − | 14322.0i | 1.55436 | − | 1.85241i | ||||
\(392\) | −6896.01 | + | 411.385i | −0.888523 | + | 0.0530053i | ||||
\(393\) | −1241.00 | − | 8077.83i | −0.159289 | − | 1.03683i | ||||
\(394\) | 3080.62 | + | 2199.71i | 0.393907 | + | 0.281268i | ||||
\(395\) | 5820.67 | − | 10081.7i | 0.741442 | − | 1.28422i | ||||
\(396\) | −2860.01 | + | 6549.71i | −0.362932 | + | 0.831149i | ||||
\(397\) | 1950.48 | + | 3378.34i | 0.246579 | + | 0.427088i | 0.962574 | − | 0.271017i | \(-0.0873601\pi\) |
−0.715995 | + | 0.698105i | \(0.754027\pi\) | |||||||
\(398\) | 1463.94 | − | 15124.2i | 0.184373 | − | 1.90480i | ||||
\(399\) | 1677.45 | − | 2762.63i | 0.210470 | − | 0.346628i | ||||
\(400\) | −463.825 | − | 419.315i | −0.0579782 | − | 0.0524143i | ||||
\(401\) | 6578.38 | + | 1159.95i | 0.819224 | + | 0.144451i | 0.567527 | − | 0.823355i | \(-0.307900\pi\) |
0.251697 | + | 0.967806i | \(0.419011\pi\) | |||||||
\(402\) | −7091.91 | + | 397.175i | −0.879882 | + | 0.0492769i | ||||
\(403\) | 1893.03 | + | 2256.02i | 0.233991 | + | 0.278860i | ||||
\(404\) | 7927.15 | − | 13163.1i | 0.976214 | − | 1.62101i | ||||
\(405\) | 7796.45 | − | 673.392i | 0.956564 | − | 0.0826201i | ||||
\(406\) | −924.442 | + | 3326.96i | −0.113003 | + | 0.406686i | ||||
\(407\) | 4969.15 | − | 4169.61i | 0.605188 | − | 0.507813i | ||||
\(408\) | −11721.1 | − | 6193.39i | −1.42225 | − | 0.751516i | ||||
\(409\) | 1689.24 | − | 9580.16i | 0.204224 | − | 1.15821i | −0.694433 | − | 0.719558i | \(-0.744345\pi\) |
0.898656 | − | 0.438653i | \(-0.144544\pi\) | |||||||
\(410\) | 490.889 | + | 6277.51i | 0.0591299 | + | 0.756156i | ||||
\(411\) | 5244.90 | + | 3184.67i | 0.629469 | + | 0.382210i | ||||
\(412\) | −4624.97 | − | 1780.67i | −0.553048 | − | 0.212931i | ||||
\(413\) | −1077.88 | + | 622.317i | −0.128424 | + | 0.0741458i | ||||
\(414\) | 7806.65 | − | 9970.36i | 0.926754 | − | 1.18361i | ||||
\(415\) | 9066.98 | + | 5234.82i | 1.07248 | + | 0.619199i | ||||
\(416\) | −7801.27 | − | 1046.93i | −0.919444 | − | 0.123389i | ||||
\(417\) | −8678.15 | + | 1333.23i | −1.01911 | + | 0.156568i | ||||
\(418\) | −5366.27 | − | 7816.35i | −0.627926 | − | 0.914618i | ||||
\(419\) | −4346.37 | − | 3647.04i | −0.506764 | − | 0.425225i | 0.353225 | − | 0.935538i | \(-0.385085\pi\) |
−0.859989 | + | 0.510313i | \(0.829529\pi\) | |||||||
\(420\) | −2715.10 | + | 365.975i | −0.315437 | + | 0.0425184i | ||||
\(421\) | −13952.2 | − | 5078.20i | −1.61518 | − | 0.587877i | −0.632725 | − | 0.774377i | \(-0.718064\pi\) |
−0.982455 | + | 0.186499i | \(0.940286\pi\) | |||||||
\(422\) | 7555.01 | − | 7416.86i | 0.871498 | − | 0.855562i | ||||
\(423\) | 1149.12 | + | 1054.14i | 0.132085 | + | 0.121168i | ||||
\(424\) | −821.748 | + | 2758.96i | −0.0941218 | + | 0.316006i | ||||
\(425\) | −1084.82 | + | 191.283i | −0.123815 | + | 0.0218319i | ||||
\(426\) | −519.688 | + | 121.944i | −0.0591056 | + | 0.0138690i | ||||
\(427\) | 781.507 | + | 2147.17i | 0.0885709 | + | 0.243347i | ||||
\(428\) | 10784.6 | − | 12381.2i | 1.21797 | − | 1.39829i | ||||
\(429\) | 5619.30 | + | 4930.75i | 0.632407 | + | 0.554916i | ||||
\(430\) | 3606.25 | + | 7923.69i | 0.404439 | + | 0.888638i | ||||
\(431\) | 9184.34 | 1.02644 | 0.513218 | − | 0.858258i | \(-0.328453\pi\) | ||||
0.513218 | + | 0.858258i | \(0.328453\pi\) | |||||||
\(432\) | −8076.24 | − | 3923.76i | −0.899464 | − | 0.436996i | ||||
\(433\) | 5662.42 | 0.628449 | 0.314225 | − | 0.949349i | \(-0.398256\pi\) | ||||
0.314225 | + | 0.949349i | \(0.398256\pi\) | |||||||
\(434\) | −487.202 | − | 1070.49i | −0.0538858 | − | 0.118399i | ||||
\(435\) | 2166.79 | − | 10877.4i | 0.238827 | − | 1.19893i | ||||
\(436\) | −1547.73 | + | 1776.87i | −0.170007 | + | 0.195176i | ||||
\(437\) | 5745.55 | + | 15785.8i | 0.628940 | + | 1.72800i | ||||
\(438\) | −2506.47 | + | 8304.68i | −0.273433 | + | 0.905966i | ||||
\(439\) | −8910.57 | + | 1571.17i | −0.968743 | + | 0.170816i | −0.635564 | − | 0.772048i | \(-0.719232\pi\) |
−0.333179 | + | 0.942864i | \(0.608121\pi\) | |||||||
\(440\) | −2294.14 | + | 7702.40i | −0.248566 | + | 0.834540i | ||||
\(441\) | −4432.94 | + | 6949.82i | −0.478668 | + | 0.750440i | ||||
\(442\) | −9895.47 | + | 9714.52i | −1.06489 | + | 1.04541i | ||||
\(443\) | 9211.64 | + | 3352.76i | 0.987942 | + | 0.359581i | 0.784923 | − | 0.619593i | \(-0.212703\pi\) |
0.203019 | + | 0.979175i | \(0.434925\pi\) | |||||||
\(444\) | 4981.07 | + | 6450.16i | 0.532413 | + | 0.689439i | ||||
\(445\) | −6138.23 | − | 5150.59i | −0.653888 | − | 0.548677i | ||||
\(446\) | 1146.13 | + | 1669.43i | 0.121684 | + | 0.177241i | ||||
\(447\) | −2531.66 | + | 6504.81i | −0.267882 | + | 0.688293i | ||||
\(448\) | 2889.89 | + | 1236.94i | 0.304764 | + | 0.130446i | ||||
\(449\) | 5721.89 | + | 3303.53i | 0.601409 | + | 0.347224i | 0.769596 | − | 0.638531i | \(-0.220458\pi\) |
−0.168187 | + | 0.985755i | \(0.553791\pi\) | |||||||
\(450\) | −729.954 | + | 154.352i | −0.0764675 | + | 0.0161694i | ||||
\(451\) | −5942.62 | + | 3430.97i | −0.620459 | + | 0.358222i | ||||
\(452\) | 5983.77 | + | 2303.83i | 0.622683 | + | 0.239741i | ||||
\(453\) | 180.603 | − | 8173.05i | 0.0187317 | − | 0.847690i | ||||
\(454\) | −1221.70 | − | 15623.1i | −0.126293 | − | 1.61505i | ||||
\(455\) | −497.634 | + | 2822.23i | −0.0512735 | + | 0.290787i | ||||
\(456\) | 10085.2 | − | 6338.25i | 1.03571 | − | 0.650912i | ||||
\(457\) | 13837.8 | − | 11611.3i | 1.41642 | − | 1.18852i | 0.463192 | − | 0.886258i | \(-0.346704\pi\) |
0.953226 | − | 0.302258i | \(-0.0977403\pi\) | |||||||
\(458\) | 4187.38 | − | 15069.9i | 0.427212 | − | 1.53749i | ||||
\(459\) | −14193.0 | + | 6984.55i | −1.44330 | + | 0.710263i | ||||
\(460\) | 7346.21 | − | 12198.5i | 0.744606 | − | 1.23643i | ||||
\(461\) | 5542.80 | + | 6605.65i | 0.559986 | + | 0.667366i | 0.969544 | − | 0.244919i | \(-0.0787612\pi\) |
−0.409557 | + | 0.912284i | \(0.634317\pi\) | |||||||
\(462\) | −1635.05 | − | 2498.09i | −0.164652 | − | 0.251562i | ||||
\(463\) | 4322.52 | + | 762.177i | 0.433876 | + | 0.0765041i | 0.386321 | − | 0.922365i | \(-0.373746\pi\) |
0.0475555 | + | 0.998869i | \(0.484857\pi\) | |||||||
\(464\) | −8534.27 | + | 9440.19i | −0.853866 | + | 0.944504i | ||||
\(465\) | 1816.16 | + | 3312.60i | 0.181123 | + | 0.330361i | ||||
\(466\) | 1329.37 | − | 13734.0i | 0.132150 | − | 1.36527i | ||||
\(467\) | 6656.49 | + | 11529.4i | 0.659584 | + | 1.14243i | 0.980724 | + | 0.195400i | \(0.0626007\pi\) |
−0.321140 | + | 0.947032i | \(0.604066\pi\) | |||||||
\(468\) | −6475.79 | + | 6802.84i | −0.639623 | + | 0.671926i | ||||
\(469\) | 1483.64 | − | 2569.73i | 0.146072 | − | 0.253005i | ||||
\(470\) | 1427.08 | + | 1019.01i | 0.140056 | + | 0.100007i | ||||
\(471\) | 1795.70 | − | 1440.39i | 0.175672 | − | 0.140912i | ||||
\(472\) | −4578.93 | + | 273.158i | −0.446530 | + | 0.0266380i | ||||
\(473\) | −6098.31 | + | 7267.69i | −0.592813 | + | 0.706487i | ||||
\(474\) | −1885.68 | + | 15826.5i | −0.182726 | + | 1.53362i | ||||
\(475\) | 338.523 | − | 930.086i | 0.0327000 | − | 0.0898426i | ||||
\(476\) | 4846.31 | − | 2680.01i | 0.466660 | − | 0.258063i | ||||
\(477\) | 2089.60 | + | 2726.35i | 0.200579 | + | 0.261700i | ||||
\(478\) | −11117.7 | + | 2869.29i | −1.06383 | + | 0.274557i | ||||
\(479\) | 1115.16 | + | 6324.37i | 0.106373 | + | 0.603273i | 0.990663 | + | 0.136334i | \(0.0435321\pi\) |
−0.884289 | + | 0.466939i | \(0.845357\pi\) | |||||||
\(480\) | −9552.04 | − | 3272.12i | −0.908311 | − | 0.311149i | ||||
\(481\) | 8010.60 | − | 2915.62i | 0.759360 | − | 0.276384i | ||||
\(482\) | 10745.4 | + | 5131.91i | 1.01544 | + | 0.484963i | ||||
\(483\) | 1699.01 | + | 5009.68i | 0.160057 | + | 0.471943i | ||||
\(484\) | 1866.74 | − | 293.747i | 0.175314 | − | 0.0275871i | ||||
\(485\) | − | 9622.23i | − | 0.900872i | ||||||
\(486\) | −9447.47 | + | 5053.37i | −0.881782 | + | 0.471657i | ||||
\(487\) | 4930.30i | 0.458754i | 0.973338 | + | 0.229377i | \(0.0736689\pi\) | ||||
−0.973338 | + | 0.229377i | \(0.926331\pi\) | |||||||
\(488\) | −965.873 | + | 8365.65i | −0.0895963 | + | 0.776015i | ||||
\(489\) | 2493.57 | + | 7352.52i | 0.230600 | + | 0.679944i | ||||
\(490\) | −3994.86 | + | 8364.63i | −0.368305 | + | 0.771175i | ||||
\(491\) | 10571.0 | − | 3847.55i | 0.971618 | − | 0.353640i | 0.193042 | − | 0.981190i | \(-0.438165\pi\) |
0.778576 | + | 0.627550i | \(0.215942\pi\) | |||||||
\(492\) | −4004.28 | − | 7634.55i | −0.366925 | − | 0.699578i | ||||
\(493\) | 3893.16 | + | 22079.2i | 0.355657 | + | 2.01703i | ||||
\(494\) | −3113.66 | − | 12064.5i | −0.283583 | − | 1.09880i | ||||
\(495\) | 5833.71 | + | 7611.37i | 0.529709 | + | 0.691122i | ||||
\(496\) | 159.950 | − | 4331.69i | 0.0144798 | − | 0.392134i | ||||
\(497\) | 76.2688 | − | 209.547i | 0.00688355 | − | 0.0189124i | ||||
\(498\) | −14233.6 | − | 1695.88i | −1.28077 | − | 0.152599i | ||||
\(499\) | −11050.0 | + | 13168.9i | −0.991315 | + | 1.18140i | −0.00791186 | + | 0.999969i | \(0.502518\pi\) |
−0.983403 | + | 0.181434i | \(0.941926\pi\) | |||||||
\(500\) | −10946.8 | + | 3757.02i | −0.979107 | + | 0.336038i | ||||
\(501\) | 14590.2 | − | 11703.2i | 1.30108 | − | 1.04364i | ||||
\(502\) | −8088.93 | + | 11328.3i | −0.719177 | + | 1.00718i | ||||
\(503\) | 5158.83 | − | 8935.36i | 0.457298 | − | 0.792064i | −0.541519 | − | 0.840689i | \(-0.682150\pi\) |
0.998817 | + | 0.0486247i | \(0.0154838\pi\) | |||||||
\(504\) | 3219.15 | − | 1925.26i | 0.284508 | − | 0.170155i | ||||
\(505\) | −10309.0 | − | 17855.8i | −0.908408 | − | 1.57341i | ||||
\(506\) | 15445.9 | + | 1495.07i | 1.35702 | + | 0.131352i | ||||
\(507\) | −765.043 | − | 1395.41i | −0.0670153 | − | 0.122233i | ||||
\(508\) | −890.166 | + | 4555.16i | −0.0777456 | + | 0.397839i | ||||
\(509\) | −17278.4 | − | 3046.65i | −1.50462 | − | 0.265305i | −0.640252 | − | 0.768165i | \(-0.721170\pi\) |
−0.864368 | + | 0.502859i | \(0.832281\pi\) | |||||||
\(510\) | −14883.5 | + | 9741.53i | −1.29226 | + | 0.845809i | ||||
\(511\) | −2329.35 | − | 2776.01i | −0.201653 | − | 0.240320i | ||||
\(512\) | 7484.25 | + | 8843.29i | 0.646016 | + | 0.763324i | ||||
\(513\) | 941.391 | − | 14182.2i | 0.0810204 | − | 1.22058i | ||||
\(514\) | 1971.86 | + | 547.907i | 0.169212 | + | 0.0470178i | ||||
\(515\) | −5094.15 | + | 4274.50i | −0.435874 | + | 0.365742i | ||||
\(516\) | −8812.60 | − | 8025.39i | −0.751847 | − | 0.684686i | ||||
\(517\) | −331.837 | + | 1881.94i | −0.0282286 | + | 0.160092i | ||||
\(518\) | −3394.11 | + | 265.413i | −0.287893 | + | 0.0225127i | ||||
\(519\) | 221.613 | − | 10028.9i | 0.0187432 | − | 0.848209i | ||||
\(520\) | −6295.09 | + | 8480.66i | −0.530880 | + | 0.715195i | ||||
\(521\) | −9696.35 | + | 5598.19i | −0.815364 | + | 0.470751i | −0.848815 | − | 0.528690i | \(-0.822684\pi\) |
0.0334509 | + | 0.999440i | \(0.489350\pi\) | |||||||
\(522\) | 3141.51 | + | 14856.7i | 0.263410 | + | 1.24571i | ||||
\(523\) | −372.330 | − | 214.965i | −0.0311298 | − | 0.0179728i | 0.484354 | − | 0.874872i | \(-0.339055\pi\) |
−0.515484 | + | 0.856899i | \(0.672388\pi\) | |||||||
\(524\) | 7908.65 | + | 9786.39i | 0.659334 | + | 0.815879i | ||||
\(525\) | 113.045 | − | 290.457i | 0.00939751 | − | 0.0241458i | ||||
\(526\) | 6936.62 | − | 4762.30i | 0.575002 | − | 0.394764i | ||||
\(527\) | −5849.89 | − | 4908.64i | −0.483539 | − | 0.405737i | ||||
\(528\) | −1268.40 | − | 10930.0i | −0.104546 | − | 0.900888i | ||||
\(529\) | −14403.8 | − | 5242.55i | −1.18384 | − | 0.430882i | ||||
\(530\) | 2706.05 | + | 2756.45i | 0.221779 | + | 0.225911i | ||||
\(531\) | −2943.46 | + | 4614.66i | −0.240556 | + | 0.377136i | ||||
\(532\) | −91.8242 | + | 4975.18i | −0.00748324 | + | 0.405454i | ||||
\(533\) | −8880.76 | + | 1565.92i | −0.721705 | + | 0.127256i | ||||
\(534\) | 10502.7 | + | 3169.87i | 0.851119 | + | 0.256880i | ||||
\(535\) | −7535.38 | − | 20703.3i | −0.608940 | − | 1.67305i | ||||
\(536\) | 9128.28 | − | 6022.19i | 0.735600 | − | 0.485296i | ||||
\(537\) | −3861.05 | + | 19382.7i | −0.310273 | + | 1.55759i | ||||
\(538\) | −11273.3 | + | 5130.75i | −0.903399 | + | 0.411157i | ||||
\(539\) | −10101.8 | −0.807264 | ||||||||
\(540\) | −9851.71 | + | 6935.46i | −0.785093 | + | 0.552694i | ||||
\(541\) | −2064.42 | −0.164060 | −0.0820300 | − | 0.996630i | \(-0.526140\pi\) | ||||
−0.0820300 | + | 0.996630i | \(0.526140\pi\) | |||||||
\(542\) | 10692.6 | − | 4866.45i | 0.847395 | − | 0.385668i | ||||
\(543\) | −6412.62 | − | 5626.86i | −0.506799 | − | 0.444699i | ||||
\(544\) | 20392.8 | − | 839.241i | 1.60723 | − | 0.0661437i | ||||
\(545\) | 1081.43 | + | 2971.21i | 0.0849971 | + | 0.233528i | ||||
\(546\) | −896.319 | − | 3819.84i | −0.0702544 | − | 0.299403i | ||||
\(547\) | 18337.4 | − | 3233.38i | 1.43337 | − | 0.252741i | 0.597586 | − | 0.801804i | \(-0.296126\pi\) |
0.835781 | + | 0.549063i | \(0.185015\pi\) | |||||||
\(548\) | −9445.46 | − | 174.330i | −0.736295 | − | 0.0135894i | ||||
\(549\) | 7404.81 | + | 6792.82i | 0.575646 | + | 0.528070i | ||||
\(550\) | −640.524 | − | 652.455i | −0.0496583 | − | 0.0505832i | ||||
\(551\) | −18929.9 | − | 6889.94i | −1.46360 | − | 0.532706i | ||||
\(552\) | −2663.41 | + | 19313.2i | −0.205366 | + | 1.48917i | ||||
\(553\) | −5100.52 | − | 4279.85i | −0.392218 | − | 0.329110i | ||||
\(554\) | 16103.1 | − | 11055.5i | 1.23494 | − | 0.847840i | ||||
\(555\) | 10808.4 | − | 1660.51i | 0.826653 | − | 0.127000i | ||||
\(556\) | 10513.7 | − | 8496.41i | 0.801942 | − | 0.648072i | ||||
\(557\) | −1257.42 | − | 725.971i | −0.0956526 | − | 0.0552251i | 0.451411 | − | 0.892316i | \(-0.350921\pi\) |
−0.547063 | + | 0.837091i | \(0.684254\pi\) | |||||||
\(558\) | −4072.45 | − | 3188.67i | −0.308962 | − | 0.241913i | ||||
\(559\) | −10797.5 | + | 6233.95i | −0.816971 | + | 0.471678i | ||||
\(560\) | 3329.00 | − | 2590.19i | 0.251207 | − | 0.195456i | ||||
\(561\) | −16569.7 | − | 10061.0i | −1.24701 | − | 0.757178i | ||||
\(562\) | −2834.78 | + | 221.675i | −0.212773 | + | 0.0166384i | ||||
\(563\) | 280.637 | − | 1591.57i | 0.0210079 | − | 0.119141i | −0.972500 | − | 0.232901i | \(-0.925178\pi\) |
0.993508 | + | 0.113759i | \(0.0362893\pi\) | |||||||
\(564\) | −2345.51 | − | 512.401i | −0.175113 | − | 0.0382553i | ||||
\(565\) | 6590.79 | − | 5530.33i | 0.490755 | − | 0.411792i | ||||
\(566\) | −23318.1 | − | 6479.26i | −1.73169 | − | 0.481173i | ||||
\(567\) | 395.033 | − | 4458.31i | 0.0292589 | − | 0.330214i | ||||
\(568\) | 596.994 | − | 564.824i | 0.0441009 | − | 0.0417245i | ||||
\(569\) | 9035.49 | + | 10768.1i | 0.665707 | + | 0.793359i | 0.988193 | − | 0.153216i | \(-0.0489629\pi\) |
−0.322486 | + | 0.946574i | \(0.604518\pi\) | |||||||
\(570\) | −893.717 | − | 15958.1i | −0.0656732 | − | 1.17265i | ||||
\(571\) | 1765.80 | + | 311.358i | 0.129416 | + | 0.0228195i | 0.237981 | − | 0.971270i | \(-0.423514\pi\) |
−0.108565 | + | 0.994089i | \(0.534626\pi\) | |||||||
\(572\) | −11296.2 | − | 2207.50i | −0.825731 | − | 0.161364i | ||||
\(573\) | 4562.02 | − | 7513.28i | 0.332602 | − | 0.547769i | ||||
\(574\) | 3584.63 | + | 346.971i | 0.260661 | + | 0.0252305i | ||||
\(575\) | 809.998 | + | 1402.96i | 0.0587465 | + | 0.101752i | ||||
\(576\) | 13785.2 | − | 1035.58i | 0.997190 | − | 0.0749120i | ||||
\(577\) | 2892.95 | − | 5010.74i | 0.208726 | − | 0.361525i | −0.742587 | − | 0.669749i | \(-0.766402\pi\) |
0.951314 | + | 0.308225i | \(0.0997349\pi\) | |||||||
\(578\) | 12819.9 | − | 17953.8i | 0.922558 | − | 1.29201i | ||||
\(579\) | −248.811 | − | 1619.54i | −0.0178588 | − | 0.116245i | ||||
\(580\) | 5543.22 | + | 16151.2i | 0.396844 | + | 1.15628i | ||||
\(581\) | 3849.08 | − | 4587.16i | 0.274848 | − | 0.327552i | ||||
\(582\) | 5190.96 | + | 12108.2i | 0.369712 | + | 0.862376i | ||||
\(583\) | −1439.74 | + | 3955.64i | −0.102277 | + | 0.281005i | ||||
\(584\) | −3098.29 | − | 12991.2i | −0.219534 | − | 0.920513i | ||||
\(585\) | 3783.04 | + | 12021.5i | 0.267366 | + | 0.849620i | ||||
\(586\) | 3359.66 | + | 13017.7i | 0.236836 | + | 0.917673i | ||||
\(587\) | 2306.48 | + | 13080.7i | 0.162178 | + | 0.919759i | 0.951926 | + | 0.306327i | \(0.0991002\pi\) |
−0.789748 | + | 0.613431i | \(0.789789\pi\) | |||||||
\(588\) | 514.468 | − | 12680.9i | 0.0360821 | − | 0.889371i | ||||
\(589\) | 6447.79 | − | 2346.80i | 0.451064 | − | 0.164174i | ||||
\(590\) | −2652.58 | + | 5554.09i | −0.185093 | + | 0.387557i | ||||
\(591\) | −4586.63 | + | 5227.13i | −0.319237 | + | 0.363816i | ||||
\(592\) | −11624.0 | − | 4723.51i | −0.807001 | − | 0.327931i | ||||
\(593\) | 9783.67i | 0.677516i | 0.940873 | + | 0.338758i | \(0.110007\pi\) | ||||
−0.940873 | + | 0.338758i | \(0.889993\pi\) | |||||||
\(594\) | −11447.1 | − | 6430.71i | −0.790705 | − | 0.444201i | ||||
\(595\) | − | 7430.95i | − | 0.511999i | ||||||
\(596\) | −1670.51 | − | 10615.9i | −0.114810 | − | 0.729608i | ||||
\(597\) | 27377.0 | + | 5453.50i | 1.87682 | + | 0.373864i | ||||
\(598\) | 18402.4 | + | 8788.79i | 1.25841 | + | 0.601004i | ||||
\(599\) | 5175.15 | − | 1883.60i | 0.353007 | − | 0.128484i | −0.159429 | − | 0.987209i | \(-0.550965\pi\) |
0.512436 | + | 0.858725i | \(0.328743\pi\) | |||||||
\(600\) | 851.653 | − | 770.827i | 0.0579476 | − | 0.0524481i | ||||
\(601\) | −3794.30 | − | 21518.6i | −0.257526 | − | 1.46050i | −0.789506 | − | 0.613743i | \(-0.789663\pi\) |
0.531980 | − | 0.846757i | \(-0.321448\pi\) | |||||||
\(602\) | 4821.27 | − | 1244.29i | 0.326412 | − | 0.0842417i | ||||
\(603\) | 576.420 | − | 13036.4i | 0.0389281 | − | 0.880401i | ||||
\(604\) | 6090.94 | + | 11014.3i | 0.410326 | + | 0.741998i | ||||
\(605\) | 867.242 | − | 2382.73i | 0.0582784 | − | 0.160119i | ||||
\(606\) | 22605.3 | + | 16907.5i | 1.51531 | + | 1.13337i | ||||
\(607\) | −11116.2 | + | 13247.7i | −0.743314 | + | 0.885847i | −0.996671 | − | 0.0815257i | \(-0.974021\pi\) |
0.253357 | + | 0.967373i | \(0.418465\pi\) | |||||||
\(608\) | −8508.71 | + | 16245.7i | −0.567556 | + | 1.08363i | ||||
\(609\) | −5911.63 | − | 2300.80i | −0.393352 | − | 0.153092i | ||||
\(610\) | 9196.00 | + | 6566.39i | 0.610386 | + | 0.435845i | ||||
\(611\) | −1255.67 | + | 2174.89i | −0.0831408 | + | 0.144004i | ||||
\(612\) | 13473.6 | − | 20287.7i | 0.889928 | − | 1.34000i | ||||
\(613\) | 6123.41 | + | 10606.1i | 0.403462 | + | 0.698817i | 0.994141 | − | 0.108090i | \(-0.0344733\pi\) |
−0.590679 | + | 0.806907i | \(0.701140\pi\) | |||||||
\(614\) | −1874.36 | + | 19364.4i | −0.123197 | + | 1.27277i | ||||
\(615\) | −11564.9 | − | 255.554i | −0.758279 | − | 0.0167560i | ||||
\(616\) | 4110.61 | + | 2057.19i | 0.268865 | + | 0.134556i | ||||
\(617\) | −9669.50 | − | 1704.99i | −0.630923 | − | 0.111249i | −0.150963 | − | 0.988539i | \(-0.548238\pi\) |
−0.479960 | + | 0.877291i | \(0.659349\pi\) | |||||||
\(618\) | 4104.29 | − | 8127.04i | 0.267150 | − | 0.528992i | ||||
\(619\) | −13654.8 | − | 16273.1i | −0.886644 | − | 1.05666i | −0.998021 | − | 0.0628826i | \(-0.979971\pi\) |
0.111377 | − | 0.993778i | \(-0.464474\pi\) | |||||||
\(620\) | −4982.54 | − | 3000.60i | −0.322748 | − | 0.194366i | ||||
\(621\) | 16791.3 | + | 16100.9i | 1.08504 | + | 1.04043i | ||||
\(622\) | −2564.11 | + | 9227.93i | −0.165292 | + | 0.594866i | ||||
\(623\) | −3510.76 | + | 2945.88i | −0.225771 | + | 0.189445i | ||||
\(624\) | 3346.38 | − | 14067.8i | 0.214684 | − | 0.902503i | ||||
\(625\) | −2484.61 | + | 14091.0i | −0.159015 | + | 0.901821i | ||||
\(626\) | −1391.35 | − | 17792.6i | −0.0888328 | − | 1.13600i | ||||
\(627\) | 15273.1 | − | 8373.63i | 0.972808 | − | 0.533350i | ||||
\(628\) | −1273.43 | + | 3307.50i | −0.0809163 | + | 0.210165i | ||||
\(629\) | −19143.2 | + | 11052.3i | −1.21349 | + | 0.700612i | ||||
\(630\) | −170.346 | − | 5030.19i | −0.0107726 | − | 0.318107i | ||||
\(631\) | −11287.8 | − | 6517.01i | −0.712139 | − | 0.411154i | 0.0997136 | − | 0.995016i | \(-0.468207\pi\) |
−0.811852 | + | 0.583863i | \(0.801541\pi\) | |||||||
\(632\) | −9751.05 | − | 22518.3i | −0.613728 | − | 1.41729i | ||||
\(633\) | 12169.9 | + | 15172.0i | 0.764156 | + | 0.952659i | ||||
\(634\) | −9352.52 | − | 13622.6i | −0.585861 | − | 0.853348i | ||||
\(635\) | 4770.77 | + | 4003.15i | 0.298145 | + | 0.250174i | ||||
\(636\) | −4892.22 | − | 2008.77i | −0.305015 | − | 0.125240i | ||||
\(637\) | −12474.9 | − | 4540.48i | −0.775938 | − | 0.282418i | ||||
\(638\) | −13279.4 | + | 13036.5i | −0.824036 | + | 0.808967i | ||||
\(639\) | −127.463 | − | 972.341i | −0.00789100 | − | 0.0601959i | ||||
\(640\) | 15244.0 | − | 3045.83i | 0.941516 | − | 0.188121i | ||||
\(641\) | −958.510 | + | 169.011i | −0.0590622 | + | 0.0104143i | −0.203101 | − | 0.979158i | \(-0.565102\pi\) |
0.144039 | + | 0.989572i | \(0.453991\pi\) | |||||||
\(642\) | 20651.2 | + | 21987.1i | 1.26953 | + | 1.35165i | ||||
\(643\) | 2691.69 | + | 7395.36i | 0.165085 | + | 0.453568i | 0.994459 | − | 0.105126i | \(-0.0335247\pi\) |
−0.829374 | + | 0.558694i | \(0.811302\pi\) | |||||||
\(644\) | −6141.31 | − | 5349.36i | −0.375779 | − | 0.327320i | ||||
\(645\) | −15146.1 | + | 5136.73i | −0.924617 | + | 0.313579i | ||||
\(646\) | 13383.4 | + | 29406.2i | 0.815112 | + | 1.79098i | ||||
\(647\) | 2428.82 | 0.147584 | 0.0737920 | − | 0.997274i | \(-0.476490\pi\) | ||||
0.0737920 | + | 0.997274i | \(0.476490\pi\) | |||||||
\(648\) | 8655.50 | − | 14042.1i | 0.524722 | − | 0.851273i | ||||
\(649\) | −6707.57 | −0.405694 | ||||||||
\(650\) | −497.733 | − | 1093.63i | −0.0300349 | − | 0.0659931i | ||||
\(651\) | 2046.23 | − | 693.970i | 0.123192 | − | 0.0417801i | ||||
\(652\) | −9013.37 | − | 7851.06i | −0.541397 | − | 0.471582i | ||||
\(653\) | −4997.18 | − | 13729.6i | −0.299471 | − | 0.822791i | −0.994588 | − | 0.103894i | \(-0.966870\pi\) |
0.695117 | − | 0.718897i | \(-0.255353\pi\) | |||||||
\(654\) | −2963.73 | − | 3155.45i | −0.177203 | − | 0.188666i | ||||
\(655\) | 16627.0 | − | 2931.78i | 0.991861 | − | 0.174892i | ||||
\(656\) | 11241.9 | + | 7056.04i | 0.669088 | + | 0.419957i | ||||
\(657\) | −14719.9 | − | 6106.76i | −0.874094 | − | 0.362629i | ||||
\(658\) | 715.701 | − | 702.613i | 0.0424026 | − | 0.0416272i | ||||
\(659\) | −7541.68 | − | 2744.95i | −0.445800 | − | 0.162258i | 0.109359 | − | 0.994002i | \(-0.465120\pi\) |
−0.555159 | + | 0.831744i | \(0.687342\pi\) | |||||||
\(660\) | −13658.0 | − | 5608.03i | −0.805511 | − | 0.330746i | ||||
\(661\) | −3866.01 | − | 3243.97i | −0.227489 | − | 0.190886i | 0.521918 | − | 0.852996i | \(-0.325217\pi\) |
−0.749407 | + | 0.662110i | \(0.769661\pi\) | |||||||
\(662\) | 1966.39 | + | 2864.18i | 0.115447 | + | 0.168156i | ||||
\(663\) | −15940.0 | − | 19872.1i | −0.933725 | − | 1.16406i | ||||
\(664\) | 20251.9 | − | 8769.62i | 1.18362 | − | 0.512541i | ||||
\(665\) | 5782.38 | + | 3338.46i | 0.337189 | + | 0.194676i | ||||
\(666\) | −12705.1 | + | 7920.41i | −0.739209 | + | 0.460825i | ||||
\(667\) | 28554.3 | − | 16485.8i | 1.65761 | − | 0.957021i | ||||
\(668\) | −10346.7 | + | 26873.7i | −0.599292 | + | 1.55655i | ||||
\(669\) | −3262.05 | + | 1788.45i | −0.188518 | + | 0.103356i | ||||
\(670\) | −1143.98 | − | 14629.2i | −0.0659637 | − | 0.843546i | ||||
\(671\) | −2138.33 | + | 12127.1i | −0.123024 | + | 0.697706i | ||||
\(672\) | −2791.75 | + | 5055.31i | −0.160259 | + | 0.290198i | ||||
\(673\) | 20297.5 | − | 17031.6i | 1.16257 | − | 0.975514i | 0.162635 | − | 0.986686i | \(-0.448001\pi\) |
0.999938 | + | 0.0111724i | \(0.00355636\pi\) | |||||||
\(674\) | −3051.08 | + | 10980.5i | −0.174367 | + | 0.627527i | ||||
\(675\) | −148.087 | − | 1362.64i | −0.00844426 | − | 0.0777009i | ||||
\(676\) | 2098.86 | + | 1263.98i | 0.119416 | + | 0.0719152i | ||||
\(677\) | −19455.9 | − | 23186.6i | −1.10451 | − | 1.31630i | −0.944252 | − | 0.329223i | \(-0.893213\pi\) |
−0.160254 | − | 0.987076i | \(-0.551231\pi\) | |||||||
\(678\) | −5310.11 | + | 10514.7i | −0.300787 | + | 0.595598i | ||||
\(679\) | −5419.82 | − | 955.661i | −0.306324 | − | 0.0540131i | ||||
\(680\) | 12256.6 | − | 24490.8i | 0.691206 | − | 1.38115i | ||||
\(681\) | 28782.1 | + | 636.010i | 1.61958 | + | 0.0357885i | ||||
\(682\) | 610.671 | − | 6308.96i | 0.0342871 | − | 0.354227i | ||||
\(683\) | −2211.69 | − | 3830.77i | −0.123906 | − | 0.214612i | 0.797399 | − | 0.603453i | \(-0.206209\pi\) |
−0.921305 | + | 0.388841i | \(0.872876\pi\) | |||||||
\(684\) | 9733.64 | + | 19598.9i | 0.544116 | + | 1.09559i | ||||
\(685\) | −6338.11 | + | 10977.9i | −0.353528 | + | 0.612329i | ||||
\(686\) | 9162.13 | + | 6542.20i | 0.509930 | + | 0.364114i | ||||
\(687\) | 26777.5 | + | 10421.7i | 1.48708 | + | 0.578769i | ||||
\(688\) | 17942.2 | + | 3851.30i | 0.994245 | + | 0.213415i | ||||
\(689\) | −3555.90 | + | 4237.76i | −0.196617 | + | 0.234319i | ||||
\(690\) | 20948.6 | + | 15668.5i | 1.15580 | + | 0.864477i | ||||
\(691\) | −2368.10 | + | 6506.29i | −0.130371 | + | 0.358192i | −0.987653 | − | 0.156655i | \(-0.949929\pi\) |
0.857282 | + | 0.514847i | \(0.172151\pi\) | |||||||
\(692\) | 7474.02 | + | 13515.4i | 0.410577 | + | 0.742453i | ||||
\(693\) | 4866.58 | − | 2529.95i | 0.266762 | − | 0.138680i | ||||
\(694\) | −16140.7 | + | 4165.65i | −0.882843 | + | 0.227847i | ||||
\(695\) | −3149.67 | − | 17862.6i | −0.171904 | − | 0.974919i | ||||
\(696\) | −15688.6 | − | 17333.6i | −0.854416 | − | 0.944007i | ||||
\(697\) | 21973.0 | − | 7997.51i | 1.19410 | − | 0.434616i | ||||
\(698\) | −15497.4 | − | 7401.42i | −0.840381 | − | 0.401358i | ||||
\(699\) | 24860.5 | + | 4952.22i | 1.34522 | + | 0.267968i | ||||
\(700\) | 74.5925 | + | 474.029i | 0.00402762 | + | 0.0255952i | ||||
\(701\) | − | 8648.00i | − | 0.465949i | −0.972483 | − | 0.232975i | \(-0.925154\pi\) | ||
0.972483 | − | 0.232975i | \(-0.0748459\pi\) | |||||||
\(702\) | −11245.7 | − | 13086.5i | −0.604619 | − | 0.703588i | ||||
\(703\) | − | 19861.6i | − | 1.06557i | ||||||
\(704\) | 10154.6 | + | 13560.1i | 0.543629 | + | 0.725945i | ||||
\(705\) | −2124.74 | + | 2421.45i | −0.113507 | + | 0.129357i | ||||
\(706\) | −2702.55 | + | 5658.73i | −0.144068 | + | 0.301656i | ||||
\(707\) | −11081.3 | + | 4033.27i | −0.589471 | + | 0.214550i | ||||
\(708\) | 341.605 | − | 8420.06i | 0.0181332 | − | 0.446957i | ||||
\(709\) | 5230.71 | + | 29664.8i | 0.277071 | + | 1.57135i | 0.732305 | + | 0.680976i | \(0.238444\pi\) |
−0.455234 | + | 0.890372i | \(0.650444\pi\) | |||||||
\(710\) | −275.576 | − | 1067.78i | −0.0145664 | − | 0.0564408i | ||||
\(711\) | −28583.2 | − | 6353.38i | −1.50767 | − | 0.335120i | ||||
\(712\) | −16429.7 | + | 3918.33i | −0.864786 | + | 0.206244i | ||||
\(713\) | −3841.08 | + | 10553.3i | −0.201753 | + | 0.554311i | ||||
\(714\) | 4008.82 | + | 9350.82i | 0.210121 | + | 0.490120i | ||||
\(715\) | −9927.30 | + | 11830.9i | −0.519245 | + | 0.618812i | ||||
\(716\) | −9877.58 | − | 28780.1i | −0.515562 | − | 1.50218i | ||||
\(717\) | −3203.06 | − | 20849.1i | −0.166835 | − | 1.08595i | ||||
\(718\) | 9304.00 | − | 13029.9i | 0.483597 | − | 0.677260i | ||||
\(719\) | −9186.14 | + | 15910.9i | −0.476474 | + | 0.825278i | −0.999637 | − | 0.0269553i | \(-0.991419\pi\) |
0.523162 | + | 0.852233i | \(0.324752\pi\) | |||||||
\(720\) | 7735.38 | − | 16859.4i | 0.400390 | − | 0.872657i | ||||
\(721\) | 1901.72 | + | 3293.87i | 0.0982296 | + | 0.170139i | ||||
\(722\) | −9585.09 | − | 927.782i | −0.494072 | − | 0.0478234i | ||||
\(723\) | −11354.1 | + | 18699.3i | −0.584043 | + | 0.961871i | ||||
\(724\) | 12891.0 | + | 2519.15i | 0.661725 | + | 0.129314i | ||||
\(725\) | −1913.15 | − | 337.340i | −0.0980036 | − | 0.0172807i | ||||
\(726\) | 194.120 | + | 3466.19i | 0.00992353 | + | 0.177193i | ||||
\(727\) | 14232.0 | + | 16961.0i | 0.726044 | + | 0.865266i | 0.995203 | − | 0.0978300i | \(-0.0311902\pi\) |
−0.269159 | + | 0.963096i | \(0.586746\pi\) | |||||||
\(728\) | 4151.60 | + | 4388.06i | 0.211358 | + | 0.223396i | ||||
\(729\) | −7502.11 | − | 18197.2i | −0.381147 | − | 0.924515i | ||||
\(730\) | −17266.5 | − | 4797.74i | −0.875429 | − | 0.243250i | ||||
\(731\) | 24765.8 | − | 20780.9i | 1.25307 | − | 1.05145i | ||||
\(732\) | −15114.3 | − | 3301.87i | −0.763171 | − | 0.166722i | ||||
\(733\) | −2148.18 | + | 12182.9i | −0.108247 | + | 0.613898i | 0.881627 | + | 0.471947i | \(0.156449\pi\) |
−0.989874 | + | 0.141951i | \(0.954662\pi\) | |||||||
\(734\) | 28239.5 | − | 2208.27i | 1.42008 | − | 0.111048i | ||||
\(735\) | −14556.2 | − | 8838.43i | −0.730494 | − | 0.443551i | ||||
\(736\) | −11417.2 | − | 27759.9i | −0.571798 | − | 1.39027i | ||||
\(737\) | 13848.8 | − | 7995.60i | 0.692167 | − | 0.399623i | ||||
\(738\) | 14690.7 | − | 5917.41i | 0.732753 | − | 0.295153i | ||||
\(739\) | −15136.0 | − | 8738.77i | −0.753432 | − | 0.434994i | 0.0735005 | − | 0.997295i | \(-0.476583\pi\) |
−0.826933 | + | 0.562301i | \(0.809916\pi\) | |||||||
\(740\) | −13094.6 | + | 10582.1i | −0.650494 | + | 0.525682i | ||||
\(741\) | 22624.8 | − | 3475.86i | 1.12165 | − | 0.172320i | ||||
\(742\) | 1821.36 | − | 1250.44i | 0.0901135 | − | 0.0618669i | ||||
\(743\) | 13556.6 | + | 11375.3i | 0.669371 | + | 0.561669i | 0.912879 | − | 0.408230i | \(-0.133854\pi\) |
−0.243508 | + | 0.969899i | \(0.578298\pi\) | |||||||
\(744\) | 7888.59 | + | 1087.89i | 0.388723 | + | 0.0536073i | ||||
\(745\) | −13550.3 | − | 4931.91i | −0.666369 | − | 0.242539i | ||||
\(746\) | 21854.9 | + | 22262.0i | 1.07261 | + | 1.09259i | ||||
\(747\) | 5713.92 | − | 25706.4i | 0.279868 | − | 1.25910i | ||||
\(748\) | 29840.1 | + | 550.743i | 1.45864 | + | 0.0269214i | ||||
\(749\) | −12409.7 | + | 2188.17i | −0.605397 | + | 0.106748i | ||||
\(750\) | −4857.15 | − | 20699.7i | −0.236477 | − | 1.00779i | ||||
\(751\) | 7041.01 | + | 19345.0i | 0.342117 | + | 0.939960i | 0.984779 | + | 0.173810i | \(0.0556078\pi\) |
−0.642662 | + | 0.766150i | \(0.722170\pi\) | |||||||
\(752\) | 3517.69 | − | 1135.19i | 0.170581 | − | 0.0550478i | ||||
\(753\) | −19221.6 | − | 16866.3i | −0.930243 | − | 0.816258i | ||||
\(754\) | −22258.4 | + | 10130.3i | −1.07507 | + | 0.489289i | ||||
\(755\) | 16888.5 | 0.814087 | ||||||||
\(756\) | 2928.02 | + | 6237.90i | 0.140861 | + | 0.300093i | ||||
\(757\) | −16410.5 | −0.787914 | −0.393957 | − | 0.919129i | \(-0.628894\pi\) | ||||
−0.393957 | + | 0.919129i | \(0.628894\pi\) | |||||||
\(758\) | 7604.61 | − | 3461.02i | 0.364396 | − | 0.165844i | ||||
\(759\) | −5569.49 | + | 27959.2i | −0.266350 | + | 1.33709i | ||||
\(760\) | 13551.0 | + | 20540.3i | 0.646773 | + | 0.980363i | ||||
\(761\) | 5829.46 | + | 16016.3i | 0.277684 | + | 0.762931i | 0.997624 | + | 0.0688945i | \(0.0219472\pi\) |
−0.719940 | + | 0.694037i | \(0.755831\pi\) | |||||||
\(762\) | −8162.96 | − | 2463.70i | −0.388075 | − | 0.117126i | ||||
\(763\) | 1780.97 | − | 314.033i | 0.0845025 | − | 0.0149001i | ||||
\(764\) | −249.726 | + | 13530.6i | −0.0118256 | + | 0.640731i | ||||
\(765\) | −15073.4 | − | 28994.9i | −0.712390 | − | 1.37034i | ||||
\(766\) | 16180.9 | + | 16482.3i | 0.763238 | + | 0.777455i | ||||
\(767\) | −8283.28 | − | 3014.87i | −0.389950 | − | 0.141930i | ||||
\(768\) | −17539.3 | + | 12056.5i | −0.824080 | + | 0.566474i | ||||
\(769\) | −52.2936 | − | 43.8795i | −0.00245222 | − | 0.00205765i | 0.641561 | − | 0.767072i | \(-0.278287\pi\) |
−0.644013 | + | 0.765015i | \(0.722732\pi\) | |||||||
\(770\) | 5084.83 | − | 3490.96i | 0.237980 | − | 0.163384i | ||||
\(771\) | −1363.66 | + | 3503.76i | −0.0636977 | + | 0.163664i | ||||
\(772\) | 1585.62 | + | 1962.09i | 0.0739220 | + | 0.0914731i | ||||
\(773\) | −3293.13 | − | 1901.29i | −0.153229 | − | 0.0884666i | 0.421425 | − | 0.906863i | \(-0.361530\pi\) |
−0.574654 | + | 0.818397i | \(0.694863\pi\) | |||||||
\(774\) | 16288.2 | − | 14634.8i | 0.756415 | − | 0.679636i | ||||
\(775\) | 573.046 | − | 330.848i | 0.0265605 | − | 0.0153347i | ||||
\(776\) | −16286.3 | − | 12089.1i | −0.753408 | − | 0.559246i | ||||
\(777\) | 138.172 | − | 6252.88i | 0.00637954 | − | 0.288701i | ||||
\(778\) | 2436.55 | − | 190.534i | 0.112281 | − | 0.00878016i | ||||
\(779\) | −3648.42 | + | 20691.2i | −0.167802 | + | 0.951655i | ||||
\(780\) | −14345.8 | − | 13064.3i | −0.658543 | − | 0.599716i | ||||
\(781\) | 920.604 | − | 772.479i | 0.0421790 | − | 0.0353924i | ||||
\(782\) | −50949.9 | − | 14157.1i | −2.32988 | − | 0.647389i | ||||
\(783\) | −27733.7 | + | 3014.00i | −1.26580 | + | 0.137563i | ||||
\(784\) | 9138.69 | + | 17270.7i | 0.416303 | + | 0.786749i | ||||
\(785\) | 3056.87 | + | 3643.03i | 0.138986 | + | 0.165637i | ||||
\(786\) | −19341.1 | + | 12659.1i | −0.877703 | + | 0.574472i | ||||
\(787\) | 14217.9 | + | 2507.01i | 0.643983 | + | 0.113552i | 0.486096 | − | 0.873905i | \(-0.338421\pi\) |
0.157887 | + | 0.987457i | \(0.449532\pi\) | |||||||
\(788\) | 2053.44 | − | 10507.8i | 0.0928308 | − | 0.475034i | ||||
\(789\) | 7431.17 | + | 13554.2i | 0.335307 | + | 0.611585i | ||||
\(790\) | −32773.5 | − | 3172.29i | −1.47599 | − | 0.142867i | ||||
\(791\) | −2460.43 | − | 4261.59i | −0.110598 | − | 0.191561i | ||||
\(792\) | 20212.1 | − | 311.238i | 0.906826 | − | 0.0139638i | ||||
\(793\) | −8091.45 | + | 14014.8i | −0.362340 | + | 0.627591i | ||||
\(794\) | 6411.74 | − | 8979.42i | 0.286580 | − | 0.401345i | ||||
\(795\) | −5535.52 | + | 4440.20i | −0.246949 | + | 0.198085i | ||||
\(796\) | −40650.2 | + | 13951.5i | −1.81006 | + | 0.621228i | ||||
\(797\) | 15099.7 | − | 17995.1i | 0.671091 | − | 0.799775i | −0.317841 | − | 0.948144i | \(-0.602958\pi\) |
0.988932 | + | 0.148369i | \(0.0474023\pi\) | |||||||
\(798\) | −9077.34 | − | 1081.53i | −0.402675 | − | 0.0479772i | ||||
\(799\) | 2227.21 | − | 6119.22i | 0.0986147 | − | 0.270942i | ||||
\(800\) | −536.024 | + | 1685.33i | −0.0236892 | + | 0.0744819i | ||||
\(801\) | −7723.07 | + | 18616.0i | −0.340676 | + | 0.821177i | ||||
\(802\) | −4721.40 | − | 18294.1i | −0.207878 | − | 0.805469i | ||||
\(803\) | −3391.26 | − | 19232.8i | −0.149035 | − | 0.845219i | ||||
\(804\) | 9331.65 | + | 17791.7i | 0.409331 | + | 0.780429i | ||||
\(805\) | −10269.2 | + | 3737.70i | −0.449619 | + | 0.163648i | ||||
\(806\) | 3589.83 | − | 7516.56i | 0.156882 | − | 0.328486i | ||||
\(807\) | −7308.23 | − | 21549.0i | −0.318788 | − | 0.939975i | ||||
\(808\) | −43174.2 | − | 4984.76i | −1.87978 | − | 0.217034i | ||||
\(809\) | 4196.59i | 0.182379i | 0.995834 | + | 0.0911893i | \(0.0290668\pi\) | ||||
−0.995834 | + | 0.0911893i | \(0.970933\pi\) | |||||||
\(810\) | −10868.2 | − | 19281.8i | −0.471443 | − | 0.836411i | ||||
\(811\) | 9897.12i | 0.428526i | 0.976776 | + | 0.214263i | \(0.0687350\pi\) | ||||
−0.976776 | + | 0.214263i | \(0.931265\pi\) | |||||||
\(812\) | 9647.87 | − | 1518.17i | 0.416963 | − | 0.0656126i | ||||
\(813\) | 6931.77 | + | 20439.0i | 0.299026 | + | 0.881704i | ||||
\(814\) | −16556.1 | − | 7907.02i | −0.712887 | − | 0.340468i | ||||
\(815\) | −15071.8 | + | 5485.68i | −0.647781 | + | 0.235773i | ||||
\(816\) | −2211.06 | + | 37430.5i | −0.0948561 | + | 1.60580i | ||||
\(817\) | 5044.28 | + | 28607.5i | 0.216006 | + | 1.22503i | ||||
\(818\) | −26641.8 | + | 6875.82i | −1.13876 | + | 0.293897i | ||||
\(819\) | 7146.95 | − | 936.884i | 0.304926 | − | 0.0399724i | ||||
\(820\) | 15585.3 | − | 8618.70i | 0.663736 | − | 0.367047i | ||||
\(821\) | −522.911 | + | 1436.69i | −0.0222287 | + | 0.0610727i | −0.950311 | − | 0.311303i | \(-0.899235\pi\) |
0.928082 | + | 0.372376i | \(0.121457\pi\) | |||||||
\(822\) | 2053.31 | − | 17233.5i | 0.0871257 | − | 0.731249i | ||||
\(823\) | −12413.8 | + | 14794.2i | −0.525783 | + | 0.626603i | −0.961938 | − | 0.273268i | \(-0.911895\pi\) |
0.436155 | + | 0.899871i | \(0.356340\pi\) | |||||||
\(824\) | 834.735 | + | 13992.6i | 0.0352905 | + | 0.591571i | ||||
\(825\) | 1310.26 | − | 1051.00i | 0.0552940 | − | 0.0443529i | ||||
\(826\) | 2864.95 | + | 2045.71i | 0.120683 | + | 0.0861738i | ||||
\(827\) | 6400.70 | − | 11086.3i | 0.269135 | − | 0.466155i | −0.699504 | − | 0.714629i | \(-0.746596\pi\) |
0.968639 | + | 0.248474i | \(0.0799290\pi\) | |||||||
\(828\) | −34813.8 | − | 8415.33i | −1.46119 | − | 0.353204i | ||||
\(829\) | −3676.07 | − | 6367.13i | −0.154011 | − | 0.266755i | 0.778688 | − | 0.627412i | \(-0.215886\pi\) |
−0.932698 | + | 0.360657i | \(0.882552\pi\) | |||||||
\(830\) | 2853.00 | − | 29474.9i | 0.119312 | − | 1.23264i | ||||
\(831\) | 17251.2 | + | 31465.5i | 0.720142 | + | 1.31351i | ||||
\(832\) | 6445.14 | + | 21309.8i | 0.268564 | + | 0.887961i | ||||
\(833\) | 33900.5 | + | 5977.57i | 1.41006 | + | 0.248632i | ||||
\(834\) | 13599.9 | + | 20778.5i | 0.564659 | + | 0.862710i | ||||
\(835\) | 24837.3 | + | 29599.9i | 1.02938 | + | 1.22676i | ||||
\(836\) | −13834.7 | + | 22972.6i | −0.572346 | + | 0.950388i | ||||
\(837\) | 6576.52 | − | 6858.50i | 0.271587 | − | 0.283231i | ||||
\(838\) | −4296.35 | + | 15462.1i | −0.177106 | + | 0.637385i | ||||
\(839\) | −19622.1 | + | 16464.9i | −0.807425 | + | 0.677510i | −0.949992 | − | 0.312275i | \(-0.898909\pi\) |
0.142566 | + | 0.989785i | \(0.454465\pi\) | |||||||
\(840\) | 4123.27 | + | 6560.82i | 0.169365 | + | 0.269488i | ||||
\(841\) | −2630.74 | + | 14919.7i | −0.107866 | + | 0.611738i | ||||
\(842\) | 3273.98 | + | 41867.7i | 0.134001 | + | 1.71361i | ||||
\(843\) | 115.402 | − | 5222.45i | 0.00471491 | − | 0.213370i | ||||
\(844\) | −27945.3 | − | 10759.3i | −1.13971 | − | 0.438804i | ||||
\(845\) | 2847.10 | − | 1643.77i | 0.115909 | − | 0.0669201i | ||||
\(846\) | 1367.38 | − | 4193.30i | 0.0555690 | − | 0.170412i | ||||
\(847\) | −1255.96 | − | 725.131i | −0.0509509 | − | 0.0294165i | ||||
\(848\) | 8065.30 | − | 1117.04i | 0.326608 | − | 0.0452351i | ||||
\(849\) | 16125.9 | − | 41433.7i | 0.651872 | − | 1.67491i | ||||
\(850\) | 1763.45 | + | 2568.58i | 0.0711596 | + | 0.103649i | ||||
\(851\) | 24902.6 | + | 20895.8i | 1.00312 | + | 0.841714i | ||||
\(852\) | 922.814 | + | 1194.98i | 0.0371069 | + | 0.0480510i | ||||
\(853\) | −11172.2 | − | 4066.36i | −0.448452 | − | 0.163223i | 0.107914 | − | 0.994160i | \(-0.465583\pi\) |
−0.556367 | + | 0.830937i | \(0.687805\pi\) | |||||||
\(854\) | 4611.92 | − | 4527.59i | 0.184797 | − | 0.181418i | ||||
\(855\) | 29334.2 | + | 1297.05i | 1.17334 | + | 0.0518809i | ||||
\(856\) | −44509.1 | − | 13256.9i | −1.77721 | − | 0.529337i | ||||
\(857\) | 22086.1 | − | 3894.37i | 0.880334 | − | 0.155227i | 0.284829 | − | 0.958578i | \(-0.408063\pi\) |
0.595505 | + | 0.803352i | \(0.296952\pi\) | |||||||
\(858\) | 6109.65 | − | 20243.1i | 0.243100 | − | 0.805464i | ||||
\(859\) | −540.253 | − | 1484.33i | −0.0214589 | − | 0.0589579i | 0.928501 | − | 0.371331i | \(-0.121098\pi\) |
−0.949960 | + | 0.312373i | \(0.898876\pi\) | |||||||
\(860\) | 16173.1 | − | 18567.5i | 0.641277 | − | 0.736215i | ||||
\(861\) | −1292.55 | + | 6488.67i | −0.0511613 | + | 0.256833i | ||||
\(862\) | −10760.8 | − | 23643.7i | −0.425189 | − | 0.934230i | ||||
\(863\) | 2245.52 | 0.0885729 | 0.0442865 | − | 0.999019i | \(-0.485899\pi\) | ||||
0.0442865 | + | 0.999019i | \(0.485899\pi\) | |||||||
\(864\) | −638.670 | + | 25388.3i | −0.0251481 | + | 0.999684i | ||||
\(865\) | 20723.4 | 0.814587 | ||||||||
\(866\) | −6634.32 | − | 14577.0i | −0.260327 | − | 0.571995i | ||||
\(867\) | 30463.7 | + | 26730.9i | 1.19331 | + | 1.04709i | ||||
\(868\) | −2184.98 | + | 2508.45i | −0.0854412 | + | 0.0980904i | ||||
\(869\) | −12272.6 | − | 33718.7i | −0.479078 | − | 1.31626i | ||||
\(870\) | −30541.0 | + | 7166.39i | −1.19016 | + | 0.279268i | ||||
\(871\) | 20695.9 | − | 3649.24i | 0.805113 | − | 0.141963i | ||||
\(872\) | 6387.66 | + | 1902.55i | 0.248066 | + | 0.0738859i | ||||
\(873\) | −23086.2 | + | 7264.97i | −0.895015 | + | 0.281652i | ||||
\(874\) | 33906.3 | − | 33286.3i | 1.31224 | − | 1.28824i | ||||
\(875\) | 8346.46 | + | 3037.86i | 0.322471 | + | 0.117370i | ||||
\(876\) | 24315.8 | − | 3277.58i | 0.937848 | − | 0.126415i | ||||
\(877\) | 35286.9 | + | 29609.2i | 1.35867 | + | 1.14006i | 0.976390 | + | 0.216014i | \(0.0693056\pi\) |
0.382281 | + | 0.924046i | \(0.375139\pi\) | |||||||
\(878\) | 14484.7 | + | 21098.0i | 0.556761 | + | 0.810961i | ||||
\(879\) | −24412.3 | + | 3750.48i | −0.936752 | + | 0.143914i | ||||
\(880\) | 22516.6 | − | 3118.54i | 0.862537 | − | 0.119461i | ||||
\(881\) | 24415.1 | + | 14096.1i | 0.933675 | + | 0.539057i | 0.887972 | − | 0.459898i | \(-0.152114\pi\) |
0.0457027 | + | 0.998955i | \(0.485447\pi\) | |||||||
\(882\) | 23085.1 | + | 3269.23i | 0.881309 | + | 0.124808i | ||||
\(883\) | 33353.8 | − | 19256.8i | 1.27117 | − | 0.733912i | 0.295964 | − | 0.955199i | \(-0.404359\pi\) |
0.975209 | + | 0.221287i | \(0.0710258\pi\) | |||||||
\(884\) | 36602.5 | + | 14092.4i | 1.39262 | + | 0.536176i | ||||
\(885\) | −9665.27 | − | 5868.69i | −0.367112 | − | 0.222908i | ||||
\(886\) | −2161.57 | − | 27642.2i | −0.0819630 | − | 1.04815i | ||||
\(887\) | 472.869 | − | 2681.77i | 0.0179001 | − | 0.101516i | −0.974549 | − | 0.224176i | \(-0.928031\pi\) |
0.992449 | + | 0.122659i | \(0.0391422\pi\) | |||||||
\(888\) | 10768.9 | − | 20380.3i | 0.406961 | − | 0.770177i | ||||
\(889\) | 2728.64 | − | 2289.60i | 0.102942 | − | 0.0863789i | ||||
\(890\) | −6067.59 | + | 21836.6i | −0.228524 | + | 0.822431i | ||||
\(891\) | 13857.0 | − | 19743.3i | 0.521019 | − | 0.742340i | ||||
\(892\) | 2954.82 | − | 4906.51i | 0.110913 | − | 0.184173i | ||||
\(893\) | 3761.05 | + | 4482.24i | 0.140939 | + | 0.167965i | ||||
\(894\) | 19711.8 | − | 1103.94i | 0.737430 | − | 0.0412990i | ||||
\(895\) | −40208.5 | − | 7089.84i | −1.50170 | − | 0.264790i | ||||
\(896\) | −201.599 | − | 8888.82i | −0.00751668 | − | 0.331423i | ||||
\(897\) | −19444.7 | + | 32023.9i | −0.723791 | + | 1.19203i | ||||
\(898\) | 1800.44 | − | 18600.7i | 0.0669058 | − | 0.691217i | ||||
\(899\) | −6733.72 | − | 11663.2i | −0.249813 | − | 0.432690i | ||||
\(900\) | 1252.60 | + | 1698.31i | 0.0463926 | + | 0.0629004i | ||||
\(901\) | 7172.27 | − | 12422.7i | 0.265197 | − | 0.459335i | ||||
\(902\) | 15795.1 | + | 11278.5i | 0.583060 | + | 0.416333i | ||||
\(903\) | 1389.04 | + | 9041.38i | 0.0511896 | + | 0.333199i | ||||
\(904\) | −1079.98 | − | 18103.5i | −0.0397339 | − | 0.666056i | ||||
\(905\) | 11328.8 | − | 13501.2i | 0.416113 | − | 0.495904i | ||||
\(906\) | −21251.9 | + | 9110.95i | −0.779300 | + | 0.334096i | ||||
\(907\) | 158.995 | − | 436.834i | 0.00582065 | − | 0.0159921i | −0.936748 | − | 0.350004i | \(-0.886180\pi\) |
0.942569 | + | 0.334012i | \(0.108403\pi\) | |||||||
\(908\) | −38788.0 | + | 21449.8i | −1.41765 | + | 0.783961i | ||||
\(909\) | −35057.0 | + | 38215.4i | −1.27917 | + | 1.39442i | ||||
\(910\) | 7848.43 | − | 2025.55i | 0.285904 | − | 0.0737873i | ||||
\(911\) | −5092.18 | − | 28879.2i | −0.185194 | − | 1.05029i | −0.925706 | − | 0.378243i | \(-0.876528\pi\) |
0.740513 | − | 0.672043i | \(-0.234583\pi\) | |||||||
\(912\) | −28133.1 | − | 18536.7i | −1.02147 | − | 0.673039i | ||||
\(913\) | 30324.9 | − | 11037.4i | 1.09924 | − | 0.400091i | ||||
\(914\) | −46104.3 | − | 22018.9i | −1.66848 | − | 0.796851i | ||||
\(915\) | −13691.6 | + | 15603.6i | −0.494680 | + | 0.563759i | ||||
\(916\) | −43701.2 | + | 6876.76i | −1.57634 | + | 0.248051i | ||||
\(917\) | − | 9656.49i | − | 0.347749i | ||||||
\(918\) | 34609.8 | + | 28354.3i | 1.24433 | + | 1.01942i | ||||
\(919\) | − | 31247.0i | − | 1.12159i | −0.827953 | − | 0.560797i | \(-0.810495\pi\) | ||
0.827953 | − | 0.560797i | \(-0.189505\pi\) | |||||||
\(920\) | −40010.2 | − | 4619.46i | −1.43380 | − | 0.165542i | ||||
\(921\) | −35052.3 | − | 6982.43i | −1.25408 | − | 0.249814i | ||||
\(922\) | 10511.1 | − | 22008.5i | 0.375448 | − | 0.786130i | ||||
\(923\) | 1484.08 | − | 540.160i | 0.0529241 | − | 0.0192628i | ||||
\(924\) | −4515.27 | + | 7136.04i | −0.160759 | + | 0.254068i | ||||
\(925\) | −332.598 | − | 1886.25i | −0.0118224 | − | 0.0670483i | ||||
\(926\) | −3102.34 | − | 12020.7i | −0.110096 | − | 0.426591i | ||||
\(927\) | 14101.8 | + | 8994.82i | 0.499637 | + | 0.318693i | ||||
\(928\) | 34301.4 | + | 10909.7i | 1.21336 | + | 0.385913i | ||||
\(929\) | −390.037 | + | 1071.62i | −0.0137747 | + | 0.0378457i | −0.946389 | − | 0.323028i | \(-0.895299\pi\) |
0.932615 | + | 0.360874i | \(0.117521\pi\) | |||||||
\(930\) | 6399.89 | − | 8556.60i | 0.225657 | − | 0.301701i | ||||
\(931\) | −19881.7 | + | 23694.1i | −0.699888 | + | 0.834094i | ||||
\(932\) | −36913.6 | + | 12669.1i | −1.29737 | + | 0.445267i | ||||
\(933\) | −16397.0 | − | 6381.67i | −0.575362 | − | 0.223930i | ||||
\(934\) | 21881.6 | − | 30644.4i | 0.766582 | − | 1.07357i | ||||
\(935\) | 20023.4 | − | 34681.5i | 0.700358 | − | 1.21306i | ||||
\(936\) | 25100.2 | + | 8700.44i | 0.876522 | + | 0.303828i | ||||
\(937\) | −14316.3 | − | 24796.6i | −0.499139 | − | 0.864535i | 0.500860 | − | 0.865528i | \(-0.333017\pi\) |
−1.00000 | 0.000993440i | \(0.999684\pi\) | ||||||||
\(938\) | −8353.68 | − | 808.588i | −0.290786 | − | 0.0281464i | ||||
\(939\) | 32778.8 | + | 724.326i | 1.13919 | + | 0.0251730i | ||||
\(940\) | 951.245 | − | 4867.71i | 0.0330066 | − | 0.168901i | ||||
\(941\) | 31737.8 | + | 5596.23i | 1.09949 | + | 0.193870i | 0.693821 | − | 0.720148i | \(-0.255926\pi\) |
0.405673 | + | 0.914018i | \(0.367037\pi\) | |||||||
\(942\) | −5811.97 | − | 2935.14i | −0.201024 | − | 0.101520i | ||||
\(943\) | −22104.4 | − | 26343.0i | −0.763328 | − | 0.909699i | ||||
\(944\) | 6068.07 | + | 11467.7i | 0.209215 | + | 0.395384i | ||||
\(945\) | 9226.04 | + | 612.411i | 0.317590 | + | 0.0210812i | ||||
\(946\) | 25854.6 | + | 7184.05i | 0.888588 | + | 0.246906i | ||||
\(947\) | 22388.3 | − | 18786.0i | 0.768240 | − | 0.644630i | −0.172018 | − | 0.985094i | \(-0.555029\pi\) |
0.940257 | + | 0.340464i | \(0.110584\pi\) | |||||||
\(948\) | 42952.3 | − | 13688.6i | 1.47155 | − | 0.468973i | ||||
\(949\) | 4456.70 | − | 25275.2i | 0.152445 | − | 0.864560i | ||||
\(950\) | −2790.99 | + | 218.250i | −0.0953175 | + | 0.00745365i | ||||
\(951\) | 26618.5 | − | 14593.8i | 0.907639 | − | 0.497621i | ||||
\(952\) | −12577.4 | − | 9336.06i | −0.428189 | − | 0.317840i | ||||
\(953\) | 20625.2 | − | 11908.0i | 0.701067 | − | 0.404761i | −0.106678 | − | 0.994294i | \(-0.534021\pi\) |
0.807745 | + | 0.589532i | \(0.200688\pi\) | |||||||
\(954\) | 4570.30 | − | 8573.66i | 0.155104 | − | 0.290967i | ||||
\(955\) | 15725.8 | + | 9079.31i | 0.532854 | + | 0.307643i | ||||
\(956\) | 20412.4 | + | 25258.9i | 0.690571 | + | 0.854531i | ||||
\(957\) | −21390.9 | − | 26667.7i | −0.722540 | − | 0.900777i | ||||
\(958\) | 14974.6 | − | 10280.7i | 0.505017 | − | 0.346716i | ||||
\(959\) | 5553.95 | + | 4660.32i | 0.187014 | + | 0.156923i | ||||
\(960\) | 2767.99 | + | 28424.0i | 0.0930589 | + | 0.955605i | ||||
\(961\) | −23683.8 | − | 8620.21i | −0.795000 | − | 0.289356i | ||||
\(962\) | −16891.4 | − | 17206.0i | −0.566112 | − | 0.576657i | ||||
\(963\) | −43983.1 | + | 33710.7i | −1.47179 | + | 1.12805i | ||||
\(964\) | 621.526 | − | 33675.2i | 0.0207656 | − | 1.12511i | ||||
\(965\) | 3333.57 | − | 587.799i | 0.111204 | − | 0.0196082i | ||||
\(966\) | 10906.0 | − | 10243.4i | 0.363246 | − | 0.341175i | ||||
\(967\) | 3561.07 | + | 9783.95i | 0.118424 | + | 0.325368i | 0.984715 | − | 0.174172i | \(-0.0557248\pi\) |
−0.866291 | + | 0.499540i | \(0.833503\pi\) | |||||||
\(968\) | −2943.36 | − | 4461.47i | −0.0977305 | − | 0.148138i | ||||
\(969\) | −56209.8 | + | 19063.3i | −1.86349 | + | 0.631993i | ||||
\(970\) | −24771.0 | + | 11273.8i | −0.819946 | + | 0.373175i | ||||
\(971\) | −419.119 | −0.0138519 | −0.00692594 | − | 0.999976i | \(-0.502205\pi\) | ||||
−0.00692594 | + | 0.999976i | \(0.502205\pi\) | |||||||
\(972\) | 24078.2 | + | 18400.3i | 0.794555 | + | 0.607192i | ||||
\(973\) | −10374.1 | −0.341808 | ||||||||
\(974\) | 12692.3 | − | 5776.54i | 0.417543 | − | 0.190033i | ||||
\(975\) | 2090.46 | − | 708.970i | 0.0686650 | − | 0.0232874i | ||||
\(976\) | 22667.7 | − | 7315.05i | 0.743418 | − | 0.239907i | ||||
\(977\) | 4208.92 | + | 11563.9i | 0.137825 | + | 0.378672i | 0.989333 | − | 0.145670i | \(-0.0465337\pi\) |
−0.851508 | + | 0.524342i | \(0.824312\pi\) | |||||||
\(978\) | 16006.4 | − | 15033.8i | 0.523341 | − | 0.491543i | ||||
\(979\) | −24323.3 | + | 4288.85i | −0.794051 | + | 0.140013i | ||||
\(980\) | 26214.0 | + | 483.818i | 0.854465 | + | 0.0157704i | ||||
\(981\) | 6312.17 | − | 4837.94i | 0.205435 | − | 0.157455i | ||||
\(982\) | −22290.4 | − | 22705.6i | −0.724353 | − | 0.737845i | ||||
\(983\) | −38343.6 | − | 13955.9i | −1.24412 | − | 0.452823i | −0.365709 | − | 0.930729i | \(-0.619174\pi\) |
−0.878411 | + | 0.477907i | \(0.841396\pi\) | |||||||
\(984\) | −14962.4 | + | 19253.4i | −0.484740 | + | 0.623755i | ||||
\(985\) | −11005.2 | − | 9234.48i | −0.355996 | − | 0.298716i | ||||
\(986\) | 52278.1 | − | 35891.2i | 1.68851 | − | 1.15924i | ||||
\(987\) | 1152.88 | + | 1437.27i | 0.0371799 | + | 0.0463515i | ||||
\(988\) | −27410.2 | + | 22150.9i | −0.882626 | + | 0.713274i | ||||
\(989\) | −41175.3 | − | 23772.6i | −1.32386 | − | 0.764331i | ||||
\(990\) | 12759.3 | − | 23935.8i | 0.409613 | − | 0.768413i | ||||
\(991\) | −18971.6 | + | 10953.3i | −0.608126 | + | 0.351101i | −0.772231 | − | 0.635341i | \(-0.780859\pi\) |
0.164106 | + | 0.986443i | \(0.447526\pi\) | |||||||
\(992\) | −11338.7 | + | 4663.42i | −0.362907 | + | 0.149258i | ||||
\(993\) | −5596.60 | + | 3068.38i | −0.178855 | + | 0.0980586i | ||||
\(994\) | −628.806 | + | 49.1714i | −0.0200649 | + | 0.00156904i | ||||
\(995\) | −10014.0 | + | 56792.1i | −0.319060 | + | 1.80948i | ||||
\(996\) | 12310.9 | + | 38629.2i | 0.391652 | + | 1.22893i | ||||
\(997\) | 8316.12 | − | 6978.06i | 0.264167 | − | 0.221662i | −0.501077 | − | 0.865403i | \(-0.667063\pi\) |
0.765244 | + | 0.643740i | \(0.222618\pi\) | |||||||
\(998\) | 46847.9 | + | 13017.3i | 1.48592 | + | 0.412882i | ||||
\(999\) | −12144.6 | − | 24678.4i | −0.384621 | − | 0.781573i |
(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 | 108.4.l.a.59.19 | yes | 312 | |
4.3 | odd | 2 | inner | 108.4.l.a.59.10 | yes | 312 | |
27.11 | odd | 18 | inner | 108.4.l.a.11.10 | ✓ | 312 | |
108.11 | even | 18 | inner | 108.4.l.a.11.19 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.4.l.a.11.10 | ✓ | 312 | 27.11 | odd | 18 | inner | |
108.4.l.a.11.19 | yes | 312 | 108.11 | even | 18 | inner | |
108.4.l.a.59.10 | yes | 312 | 4.3 | odd | 2 | inner | |
108.4.l.a.59.19 | yes | 312 | 1.1 | even | 1 | trivial |