Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,4,Mod(2,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.c (of order \(11\), 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: | \(1.35704393013\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 2.5 | ||
Character | \(\chi\) | \(=\) | 23.2 |
Dual form | 23.4.c.a.12.5 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.73432 | + | 2.39990i | 1.32028 | + | 0.848493i | 0.995263 | − | 0.0972152i | \(-0.0309935\pi\) |
0.325017 | + | 0.945708i | \(0.394630\pi\) | |||||||
\(3\) | −0.655499 | − | 4.55909i | −0.126151 | − | 0.877398i | −0.950369 | − | 0.311125i | \(-0.899294\pi\) |
0.824218 | − | 0.566273i | \(-0.191615\pi\) | |||||||
\(4\) | 4.86229 | + | 10.6469i | 0.607786 | + | 1.33087i | ||||
\(5\) | −9.99480 | − | 2.93474i | −0.893962 | − | 0.262491i | −0.197686 | − | 0.980265i | \(-0.563343\pi\) |
−0.696276 | + | 0.717775i | \(0.745161\pi\) | |||||||
\(6\) | 8.49353 | − | 18.5982i | 0.577912 | − | 1.26545i | ||||
\(7\) | −17.7583 | + | 20.4942i | −0.958858 | + | 1.10658i | 0.0353792 | + | 0.999374i | \(0.488736\pi\) |
−0.994237 | + | 0.107207i | \(0.965809\pi\) | |||||||
\(8\) | −2.34036 | + | 16.2775i | −0.103430 | + | 0.719372i | ||||
\(9\) | 5.55065 | − | 1.62982i | 0.205580 | − | 0.0603636i | ||||
\(10\) | −30.2807 | − | 34.9458i | −0.957559 | − | 1.10508i | ||||
\(11\) | 43.3943 | − | 27.8878i | 1.18944 | − | 0.764408i | 0.212344 | − | 0.977195i | \(-0.431890\pi\) |
0.977099 | + | 0.212786i | \(0.0682539\pi\) | |||||||
\(12\) | 45.3531 | − | 29.1467i | 1.09103 | − | 0.701160i | ||||
\(13\) | 4.59725 | + | 5.30551i | 0.0980806 | + | 0.113191i | 0.802668 | − | 0.596426i | \(-0.203413\pi\) |
−0.704587 | + | 0.709617i | \(0.748868\pi\) | |||||||
\(14\) | −115.499 | + | 33.9136i | −2.20489 | + | 0.647413i | ||||
\(15\) | −6.82816 | + | 47.4909i | −0.117535 | + | 0.817474i | ||||
\(16\) | 13.5153 | − | 15.5974i | 0.211176 | − | 0.243710i | ||||
\(17\) | −44.2869 | + | 96.9748i | −0.631832 | + | 1.38352i | 0.274760 | + | 0.961513i | \(0.411402\pi\) |
−0.906592 | + | 0.422007i | \(0.861326\pi\) | |||||||
\(18\) | 24.6393 | + | 7.23475i | 0.322641 | + | 0.0947359i | ||||
\(19\) | −31.4833 | − | 68.9387i | −0.380145 | − | 0.832402i | −0.998903 | − | 0.0468202i | \(-0.985091\pi\) |
0.618758 | − | 0.785581i | \(-0.287636\pi\) | |||||||
\(20\) | −17.3516 | − | 120.683i | −0.193997 | − | 1.34928i | ||||
\(21\) | 105.075 | + | 67.5278i | 1.09187 | + | 0.701704i | ||||
\(22\) | 228.976 | 2.21899 | ||||||||
\(23\) | 60.7097 | + | 92.0942i | 0.550385 | + | 0.834911i | ||||
\(24\) | 75.7449 | 0.644223 | ||||||||
\(25\) | −13.8734 | − | 8.91591i | −0.110987 | − | 0.0713273i | ||||
\(26\) | 4.43490 | + | 30.8454i | 0.0334521 | + | 0.232665i | ||||
\(27\) | −62.7305 | − | 137.361i | −0.447129 | − | 0.979077i | ||||
\(28\) | −304.546 | − | 89.4227i | −2.05549 | − | 0.603546i | ||||
\(29\) | −51.2840 | + | 112.296i | −0.328386 | + | 0.719065i | −0.999757 | − | 0.0220565i | \(-0.992979\pi\) |
0.671371 | + | 0.741122i | \(0.265706\pi\) | |||||||
\(30\) | −139.472 | + | 160.959i | −0.848800 | + | 0.979567i | ||||
\(31\) | 7.80137 | − | 54.2597i | 0.0451990 | − | 0.314366i | −0.954662 | − | 0.297692i | \(-0.903783\pi\) |
0.999861 | − | 0.0166739i | \(-0.00530770\pi\) | |||||||
\(32\) | 214.133 | − | 62.8751i | 1.18293 | − | 0.347339i | ||||
\(33\) | −155.588 | − | 179.558i | −0.820740 | − | 0.947184i | ||||
\(34\) | −398.111 | + | 255.851i | −2.00810 | + | 1.29053i | ||||
\(35\) | 237.635 | − | 152.719i | 1.14765 | − | 0.737549i | ||||
\(36\) | 44.3414 | + | 51.1727i | 0.205284 | + | 0.236911i | ||||
\(37\) | −74.5355 | + | 21.8856i | −0.331177 | + | 0.0972425i | −0.443094 | − | 0.896475i | \(-0.646119\pi\) |
0.111917 | + | 0.993718i | \(0.464301\pi\) | |||||||
\(38\) | 47.8776 | − | 332.996i | 0.204389 | − | 1.42155i | ||||
\(39\) | 21.1748 | − | 24.4370i | 0.0869406 | − | 0.100335i | ||||
\(40\) | 71.1616 | − | 155.822i | 0.281291 | − | 0.615941i | ||||
\(41\) | −274.443 | − | 80.5837i | −1.04538 | − | 0.306953i | −0.286434 | − | 0.958100i | \(-0.592470\pi\) |
−0.758951 | + | 0.651147i | \(0.774288\pi\) | |||||||
\(42\) | 230.325 | + | 504.341i | 0.846187 | + | 1.85289i | ||||
\(43\) | −24.4643 | − | 170.153i | −0.0867623 | − | 0.603445i | −0.986095 | − | 0.166181i | \(-0.946857\pi\) |
0.899333 | − | 0.437264i | \(-0.144053\pi\) | |||||||
\(44\) | 507.915 | + | 326.417i | 1.74025 | + | 1.11839i | ||||
\(45\) | −60.2607 | −0.199625 | ||||||||
\(46\) | 5.69244 | + | 489.606i | 0.0182458 | + | 1.56931i | ||||
\(47\) | 450.074 | 1.39681 | 0.698404 | − | 0.715703i | \(-0.253894\pi\) | ||||
0.698404 | + | 0.715703i | \(0.253894\pi\) | |||||||
\(48\) | −79.9694 | − | 51.3932i | −0.240471 | − | 0.154541i | ||||
\(49\) | −55.8397 | − | 388.374i | −0.162798 | − | 1.13228i | ||||
\(50\) | −30.4105 | − | 66.5897i | −0.0860139 | − | 0.188344i | ||||
\(51\) | 471.147 | + | 138.341i | 1.29360 | + | 0.379836i | ||||
\(52\) | −34.1342 | + | 74.7435i | −0.0910300 | + | 0.199328i | ||||
\(53\) | −58.7400 | + | 67.7896i | −0.152237 | + | 0.175691i | −0.826745 | − | 0.562576i | \(-0.809810\pi\) |
0.674508 | + | 0.738267i | \(0.264356\pi\) | |||||||
\(54\) | 95.3962 | − | 663.495i | 0.240403 | − | 1.67204i | ||||
\(55\) | −515.560 | + | 151.382i | −1.26397 | + | 0.371134i | ||||
\(56\) | −292.034 | − | 337.025i | −0.696868 | − | 0.804229i | ||||
\(57\) | −293.661 | + | 188.724i | −0.682392 | + | 0.438547i | ||||
\(58\) | −461.011 | + | 296.274i | −1.04368 | + | 0.670735i | ||||
\(59\) | 380.100 | + | 438.659i | 0.838726 | + | 0.967942i | 0.999820 | − | 0.0189975i | \(-0.00604745\pi\) |
−0.161093 | + | 0.986939i | \(0.551502\pi\) | |||||||
\(60\) | −538.833 | + | 158.216i | −1.15938 | + | 0.340426i | ||||
\(61\) | 15.4001 | − | 107.110i | 0.0323242 | − | 0.224820i | −0.967256 | − | 0.253804i | \(-0.918318\pi\) |
0.999580 | + | 0.0289841i | \(0.00922721\pi\) | |||||||
\(62\) | 159.351 | − | 183.901i | 0.326412 | − | 0.376700i | ||||
\(63\) | −65.1683 | + | 142.699i | −0.130324 | + | 0.285371i | ||||
\(64\) | 792.115 | + | 232.586i | 1.54710 | + | 0.454269i | ||||
\(65\) | −30.3783 | − | 66.5192i | −0.0579687 | − | 0.126934i | ||||
\(66\) | −150.094 | − | 1043.92i | −0.279928 | − | 1.94694i | ||||
\(67\) | −43.6058 | − | 28.0237i | −0.0795118 | − | 0.0510991i | 0.500281 | − | 0.865863i | \(-0.333230\pi\) |
−0.579793 | + | 0.814764i | \(0.696866\pi\) | |||||||
\(68\) | −1247.82 | −2.22530 | ||||||||
\(69\) | 380.071 | − | 337.149i | 0.663118 | − | 0.588231i | ||||
\(70\) | 1253.92 | 2.14102 | ||||||||
\(71\) | −368.466 | − | 236.798i | −0.615899 | − | 0.395814i | 0.195166 | − | 0.980770i | \(-0.437475\pi\) |
−0.811065 | + | 0.584956i | \(0.801112\pi\) | |||||||
\(72\) | 13.5389 | + | 94.1652i | 0.0221608 | + | 0.154132i | ||||
\(73\) | 317.426 | + | 695.067i | 0.508931 | + | 1.11440i | 0.973463 | + | 0.228846i | \(0.0734953\pi\) |
−0.464532 | + | 0.885556i | \(0.653777\pi\) | |||||||
\(74\) | −330.863 | − | 97.1500i | −0.519757 | − | 0.152614i | ||||
\(75\) | −31.5545 | + | 69.0947i | −0.0485813 | + | 0.106378i | ||||
\(76\) | 580.905 | − | 670.400i | 0.876768 | − | 1.01184i | ||||
\(77\) | −199.071 | + | 1384.57i | −0.294627 | + | 2.04917i | ||||
\(78\) | 137.720 | − | 40.4382i | 0.199919 | − | 0.0587016i | ||||
\(79\) | −372.046 | − | 429.364i | −0.529853 | − | 0.611483i | 0.426217 | − | 0.904621i | \(-0.359846\pi\) |
−0.956070 | + | 0.293138i | \(0.905301\pi\) | |||||||
\(80\) | −180.857 | + | 116.229i | −0.252755 | + | 0.162436i | ||||
\(81\) | −453.721 | + | 291.589i | −0.622388 | + | 0.399985i | ||||
\(82\) | −831.464 | − | 959.561i | −1.11975 | − | 1.29227i | ||||
\(83\) | 363.395 | − | 106.702i | 0.480575 | − | 0.141110i | −0.0324672 | − | 0.999473i | \(-0.510336\pi\) |
0.513043 | + | 0.858363i | \(0.328518\pi\) | |||||||
\(84\) | −208.057 | + | 1447.07i | −0.270249 | + | 1.87962i | ||||
\(85\) | 727.234 | − | 839.273i | 0.927995 | − | 1.07096i | ||||
\(86\) | 316.993 | − | 694.118i | 0.397468 | − | 0.870334i | ||||
\(87\) | 545.586 | + | 160.198i | 0.672333 | + | 0.197415i | ||||
\(88\) | 352.387 | + | 771.619i | 0.426870 | + | 0.934715i | ||||
\(89\) | −25.8514 | − | 179.800i | −0.0307892 | − | 0.214144i | 0.968619 | − | 0.248552i | \(-0.0799546\pi\) |
−0.999408 | + | 0.0344078i | \(0.989045\pi\) | |||||||
\(90\) | −225.033 | − | 144.620i | −0.263561 | − | 0.169381i | ||||
\(91\) | −190.371 | −0.219300 | ||||||||
\(92\) | −685.332 | + | 1094.16i | −0.776639 | + | 1.23994i | ||||
\(93\) | −252.489 | −0.281526 | ||||||||
\(94\) | 1680.72 | + | 1080.13i | 1.84418 | + | 1.18518i | ||||
\(95\) | 112.352 | + | 781.424i | 0.121337 | + | 0.843920i | ||||
\(96\) | −427.017 | − | 935.037i | −0.453982 | − | 0.994081i | ||||
\(97\) | −554.676 | − | 162.868i | −0.580607 | − | 0.170482i | −0.0217755 | − | 0.999763i | \(-0.506932\pi\) |
−0.558831 | + | 0.829281i | \(0.688750\pi\) | |||||||
\(98\) | 723.535 | − | 1584.32i | 0.745797 | − | 1.63307i | ||||
\(99\) | 195.414 | − | 225.520i | 0.198383 | − | 0.228946i | ||||
\(100\) | 27.4704 | − | 191.061i | 0.0274704 | − | 0.191061i | ||||
\(101\) | −646.660 | + | 189.877i | −0.637080 | + | 0.187064i | −0.584294 | − | 0.811542i | \(-0.698628\pi\) |
−0.0527864 | + | 0.998606i | \(0.516810\pi\) | |||||||
\(102\) | 1427.41 | + | 1647.32i | 1.38563 | + | 1.59910i | ||||
\(103\) | 1101.80 | − | 708.087i | 1.05402 | − | 0.677378i | 0.105605 | − | 0.994408i | \(-0.466322\pi\) |
0.948415 | + | 0.317031i | \(0.102686\pi\) | |||||||
\(104\) | −97.1197 | + | 62.4151i | −0.0915709 | + | 0.0588490i | ||||
\(105\) | −852.030 | − | 983.295i | −0.791901 | − | 0.913903i | ||||
\(106\) | −382.042 | + | 112.178i | −0.350068 | + | 0.102789i | ||||
\(107\) | 62.0815 | − | 431.786i | 0.0560901 | − | 0.390115i | −0.942367 | − | 0.334582i | \(-0.891405\pi\) |
0.998457 | − | 0.0555334i | \(-0.0176859\pi\) | |||||||
\(108\) | 1157.45 | − | 1335.77i | 1.03126 | − | 1.19014i | ||||
\(109\) | −529.517 | + | 1159.48i | −0.465308 | + | 1.01888i | 0.520938 | + | 0.853595i | \(0.325582\pi\) |
−0.986245 | + | 0.165287i | \(0.947145\pi\) | |||||||
\(110\) | −2288.57 | − | 671.984i | −1.98370 | − | 0.582465i | ||||
\(111\) | 148.636 | + | 325.468i | 0.127099 | + | 0.278307i | ||||
\(112\) | 79.6485 | + | 553.967i | 0.0671971 | + | 0.467366i | ||||
\(113\) | 457.165 | + | 293.802i | 0.380588 | + | 0.244589i | 0.716922 | − | 0.697154i | \(-0.245551\pi\) |
−0.336334 | + | 0.941743i | \(0.609187\pi\) | |||||||
\(114\) | −1549.54 | −1.27305 | ||||||||
\(115\) | −336.509 | − | 1098.63i | −0.272866 | − | 0.890850i | ||||
\(116\) | −1444.97 | −1.15657 | ||||||||
\(117\) | 34.1647 | + | 21.9563i | 0.0269960 | + | 0.0173493i | ||||
\(118\) | 366.677 | + | 2550.30i | 0.286062 | + | 1.98961i | ||||
\(119\) | −1200.96 | − | 2629.73i | −0.925139 | − | 2.02577i | ||||
\(120\) | −757.055 | − | 222.291i | −0.575911 | − | 0.169103i | ||||
\(121\) | 552.417 | − | 1209.62i | 0.415039 | − | 0.908808i | ||||
\(122\) | 314.562 | − | 363.024i | 0.233435 | − | 0.269399i | ||||
\(123\) | −187.492 | + | 1304.03i | −0.137444 | + | 0.955941i | ||||
\(124\) | 615.632 | − | 180.766i | 0.445850 | − | 0.130913i | ||||
\(125\) | 965.186 | + | 1113.88i | 0.690631 | + | 0.797031i | ||||
\(126\) | −585.822 | + | 376.485i | −0.414200 | + | 0.266190i | ||||
\(127\) | −1937.50 | + | 1245.16i | −1.35374 | + | 0.869998i | −0.997914 | − | 0.0645529i | \(-0.979438\pi\) |
−0.355829 | + | 0.934551i | \(0.615801\pi\) | |||||||
\(128\) | 1230.65 | + | 1420.24i | 0.849804 | + | 0.980727i | ||||
\(129\) | −759.709 | + | 223.071i | −0.518516 | + | 0.152250i | ||||
\(130\) | 46.1972 | − | 321.309i | 0.0311674 | − | 0.216774i | ||||
\(131\) | 124.211 | − | 143.348i | 0.0828428 | − | 0.0956056i | −0.712815 | − | 0.701352i | \(-0.752580\pi\) |
0.795658 | + | 0.605747i | \(0.207125\pi\) | |||||||
\(132\) | 1155.23 | − | 2529.60i | 0.761741 | − | 1.66798i | ||||
\(133\) | 1971.93 | + | 579.011i | 1.28562 | + | 0.377493i | ||||
\(134\) | −95.5836 | − | 209.299i | −0.0616207 | − | 0.134930i | ||||
\(135\) | 223.861 | + | 1556.99i | 0.142718 | + | 0.992624i | ||||
\(136\) | −1474.86 | − | 947.837i | −0.929915 | − | 0.597620i | ||||
\(137\) | 2946.43 | 1.83745 | 0.918724 | − | 0.394900i | \(-0.129221\pi\) | ||||
0.918724 | + | 0.394900i | \(0.129221\pi\) | |||||||
\(138\) | 2228.43 | − | 346.889i | 1.37461 | − | 0.213979i | ||||
\(139\) | 839.163 | 0.512064 | 0.256032 | − | 0.966668i | \(-0.417585\pi\) | ||||
0.256032 | + | 0.966668i | \(0.417585\pi\) | |||||||
\(140\) | 2781.44 | + | 1787.52i | 1.67910 | + | 1.07909i | ||||
\(141\) | −295.023 | − | 2051.93i | −0.176209 | − | 1.22556i | ||||
\(142\) | −807.675 | − | 1768.56i | −0.477314 | − | 1.04517i | ||||
\(143\) | 347.453 | + | 102.022i | 0.203185 | + | 0.0596606i | ||||
\(144\) | 49.5975 | − | 108.603i | 0.0287022 | − | 0.0628491i | ||||
\(145\) | 842.133 | − | 971.873i | 0.482313 | − | 0.556619i | ||||
\(146\) | −482.720 | + | 3357.39i | −0.273631 | + | 1.90315i | ||||
\(147\) | −1734.03 | + | 509.157i | −0.972927 | + | 0.285677i | ||||
\(148\) | −595.428 | − | 687.160i | −0.330702 | − | 0.381650i | ||||
\(149\) | 850.882 | − | 546.829i | 0.467832 | − | 0.300658i | −0.285404 | − | 0.958407i | \(-0.592128\pi\) |
0.753237 | + | 0.657750i | \(0.228492\pi\) | |||||||
\(150\) | −283.655 | + | 182.294i | −0.154402 | + | 0.0992282i | ||||
\(151\) | 183.715 | + | 212.018i | 0.0990100 | + | 0.114264i | 0.803092 | − | 0.595855i | \(-0.203187\pi\) |
−0.704082 | + | 0.710119i | \(0.748641\pi\) | |||||||
\(152\) | 1195.83 | − | 351.129i | 0.638125 | − | 0.187370i | ||||
\(153\) | −87.7699 | + | 610.453i | −0.0463776 | + | 0.322563i | ||||
\(154\) | −4066.22 | + | 4692.67i | −2.12770 | + | 2.45550i | ||||
\(155\) | −237.211 | + | 519.420i | −0.122924 | + | 0.269167i | ||||
\(156\) | 363.137 | + | 106.627i | 0.186373 | + | 0.0547242i | ||||
\(157\) | −433.095 | − | 948.345i | −0.220157 | − | 0.482078i | 0.767036 | − | 0.641604i | \(-0.221731\pi\) |
−0.987194 | + | 0.159526i | \(0.949003\pi\) | |||||||
\(158\) | −358.907 | − | 2496.25i | −0.180716 | − | 1.25691i | ||||
\(159\) | 347.563 | + | 223.365i | 0.173356 | + | 0.111409i | ||||
\(160\) | −2324.73 | −1.14867 | ||||||||
\(161\) | −2965.49 | − | 391.241i | −1.45164 | − | 0.191516i | ||||
\(162\) | −2394.12 | −1.16111 | ||||||||
\(163\) | −2793.64 | − | 1795.36i | −1.34242 | − | 0.862722i | −0.345297 | − | 0.938494i | \(-0.612222\pi\) |
−0.997125 | + | 0.0757714i | \(0.975858\pi\) | |||||||
\(164\) | −476.452 | − | 3313.79i | −0.226857 | − | 1.57783i | ||||
\(165\) | 1028.12 | + | 2251.26i | 0.485083 | + | 1.06218i | ||||
\(166\) | 1613.11 | + | 473.651i | 0.754225 | + | 0.221460i | ||||
\(167\) | −458.572 | + | 1004.13i | −0.212487 | + | 0.465282i | −0.985623 | − | 0.168958i | \(-0.945960\pi\) |
0.773136 | + | 0.634240i | \(0.218687\pi\) | |||||||
\(168\) | −1345.10 | + | 1552.33i | −0.617718 | + | 0.712885i | ||||
\(169\) | 305.652 | − | 2125.86i | 0.139122 | − | 0.967618i | ||||
\(170\) | 4729.89 | − | 1388.82i | 2.13392 | − | 0.626575i | ||||
\(171\) | −287.110 | − | 331.343i | −0.128397 | − | 0.148178i | ||||
\(172\) | 1692.66 | − | 1087.80i | 0.750371 | − | 0.482234i | ||||
\(173\) | −245.964 | + | 158.072i | −0.108094 | + | 0.0694680i | −0.593571 | − | 0.804782i | \(-0.702282\pi\) |
0.485477 | + | 0.874250i | \(0.338646\pi\) | |||||||
\(174\) | 1652.93 | + | 1907.58i | 0.720163 | + | 0.831112i | ||||
\(175\) | 429.093 | − | 125.993i | 0.185351 | − | 0.0544238i | ||||
\(176\) | 151.506 | − | 1053.75i | 0.0648877 | − | 0.451304i | ||||
\(177\) | 1750.73 | − | 2020.45i | 0.743464 | − | 0.858003i | ||||
\(178\) | 334.966 | − | 733.472i | 0.141049 | − | 0.308854i | ||||
\(179\) | −288.828 | − | 84.8076i | −0.120604 | − | 0.0354124i | 0.220874 | − | 0.975302i | \(-0.429109\pi\) |
−0.341477 | + | 0.939890i | \(0.610927\pi\) | |||||||
\(180\) | −293.005 | − | 641.591i | −0.121329 | − | 0.265674i | ||||
\(181\) | −322.619 | − | 2243.87i | −0.132487 | − | 0.921465i | −0.942298 | − | 0.334775i | \(-0.891340\pi\) |
0.809811 | − | 0.586690i | \(-0.199569\pi\) | |||||||
\(182\) | −710.907 | − | 456.872i | −0.289538 | − | 0.186075i | ||||
\(183\) | −498.419 | −0.201334 | ||||||||
\(184\) | −1641.15 | + | 772.671i | −0.657538 | + | 0.309576i | ||||
\(185\) | 809.196 | 0.321585 | ||||||||
\(186\) | −942.874 | − | 605.949i | −0.371693 | − | 0.238873i | ||||
\(187\) | 782.617 | + | 5443.22i | 0.306046 | + | 2.12860i | ||||
\(188\) | 2188.39 | + | 4791.90i | 0.848961 | + | 1.85896i | ||||
\(189\) | 3929.08 | + | 1153.68i | 1.51216 | + | 0.444010i | ||||
\(190\) | −1455.78 | + | 3187.72i | −0.555861 | + | 1.21716i | ||||
\(191\) | −2210.68 | + | 2551.27i | −0.837485 | + | 0.966509i | −0.999795 | − | 0.0202310i | \(-0.993560\pi\) |
0.162311 | + | 0.986740i | \(0.448105\pi\) | |||||||
\(192\) | 541.151 | − | 3763.79i | 0.203407 | − | 1.41473i | ||||
\(193\) | −4961.09 | + | 1456.71i | −1.85030 | + | 0.543296i | −0.850445 | + | 0.526064i | \(0.823667\pi\) |
−0.999852 | + | 0.0172326i | \(0.994514\pi\) | |||||||
\(194\) | −1680.47 | − | 1939.37i | −0.621912 | − | 0.717724i | ||||
\(195\) | −283.354 | + | 182.101i | −0.104059 | + | 0.0668744i | ||||
\(196\) | 3863.48 | − | 2482.91i | 1.40797 | − | 0.904849i | ||||
\(197\) | 399.910 | + | 461.521i | 0.144632 | + | 0.166914i | 0.823443 | − | 0.567399i | \(-0.192050\pi\) |
−0.678812 | + | 0.734312i | \(0.737505\pi\) | |||||||
\(198\) | 1270.97 | − | 373.189i | 0.456180 | − | 0.133947i | ||||
\(199\) | 558.813 | − | 3886.63i | 0.199061 | − | 1.38450i | −0.607955 | − | 0.793972i | \(-0.708010\pi\) |
0.807016 | − | 0.590529i | \(-0.201081\pi\) | |||||||
\(200\) | 177.598 | − | 204.959i | 0.0627903 | − | 0.0724639i | ||||
\(201\) | −99.1793 | + | 217.172i | −0.0348038 | + | 0.0762097i | ||||
\(202\) | −2870.52 | − | 842.861i | −0.999847 | − | 0.293582i | ||||
\(203\) | −1390.70 | − | 3045.21i | −0.480828 | − | 1.05287i | ||||
\(204\) | 817.944 | + | 5688.92i | 0.280723 | + | 1.95247i | ||||
\(205\) | 2506.51 | + | 1610.84i | 0.853962 | + | 0.548808i | ||||
\(206\) | 5813.83 | 1.96635 | ||||||||
\(207\) | 487.075 | + | 412.237i | 0.163546 | + | 0.138418i | ||||
\(208\) | 144.885 | 0.0482980 | ||||||||
\(209\) | −3288.74 | − | 2113.55i | −1.08846 | − | 0.699508i | ||||
\(210\) | −821.941 | − | 5716.72i | −0.270092 | − | 1.87853i | ||||
\(211\) | 2109.38 | + | 4618.90i | 0.688227 | + | 1.50701i | 0.853685 | + | 0.520790i | \(0.174363\pi\) |
−0.165458 | + | 0.986217i | \(0.552910\pi\) | |||||||
\(212\) | −1007.36 | − | 295.788i | −0.326348 | − | 0.0958245i | ||||
\(213\) | −838.058 | + | 1835.09i | −0.269590 | + | 0.590321i | ||||
\(214\) | 1268.08 | − | 1463.44i | 0.405065 | − | 0.467470i | ||||
\(215\) | −254.839 | + | 1772.44i | −0.0808366 | + | 0.562231i | ||||
\(216\) | 2382.70 | − | 699.625i | 0.750567 | − | 0.220386i | ||||
\(217\) | 973.469 | + | 1123.44i | 0.304532 | + | 0.351448i | ||||
\(218\) | −4760.02 | + | 3059.08i | −1.47885 | + | 0.950400i | ||||
\(219\) | 2960.80 | − | 1902.79i | 0.913573 | − | 0.587118i | ||||
\(220\) | −4118.56 | − | 4753.07i | −1.26215 | − | 1.45660i | ||||
\(221\) | −718.098 | + | 210.853i | −0.218573 | + | 0.0641787i | ||||
\(222\) | −226.036 | + | 1572.12i | −0.0683358 | + | 0.475286i | ||||
\(223\) | −610.925 | + | 705.045i | −0.183455 | + | 0.211719i | −0.840027 | − | 0.542545i | \(-0.817461\pi\) |
0.656571 | + | 0.754264i | \(0.272006\pi\) | |||||||
\(224\) | −2514.06 | + | 5505.02i | −0.749901 | + | 1.64205i | ||||
\(225\) | −91.5379 | − | 26.8780i | −0.0271223 | − | 0.00796384i | ||||
\(226\) | 1002.10 | + | 2194.30i | 0.294951 | + | 0.645852i | ||||
\(227\) | 68.2031 | + | 474.363i | 0.0199418 | + | 0.138698i | 0.997360 | − | 0.0726159i | \(-0.0231347\pi\) |
−0.977418 | + | 0.211314i | \(0.932226\pi\) | |||||||
\(228\) | −3437.20 | − | 2208.95i | −0.998395 | − | 0.641629i | ||||
\(229\) | 4331.26 | 1.24986 | 0.624929 | − | 0.780681i | \(-0.285128\pi\) | ||||
0.624929 | + | 0.780681i | \(0.285128\pi\) | |||||||
\(230\) | 1379.97 | − | 4910.22i | 0.395620 | − | 1.40770i | ||||
\(231\) | 6442.87 | 1.83511 | ||||||||
\(232\) | −1707.88 | − | 1097.59i | −0.483310 | − | 0.310605i | ||||
\(233\) | −301.089 | − | 2094.12i | −0.0846565 | − | 0.588799i | −0.987355 | − | 0.158525i | \(-0.949326\pi\) |
0.902698 | − | 0.430274i | \(-0.141583\pi\) | |||||||
\(234\) | 74.8889 | + | 163.984i | 0.0209216 | + | 0.0458118i | ||||
\(235\) | −4498.40 | − | 1320.85i | −1.24869 | − | 0.366649i | ||||
\(236\) | −2822.21 | + | 6179.79i | −0.778434 | + | 1.70453i | ||||
\(237\) | −1713.63 | + | 1977.64i | −0.469673 | + | 0.542031i | ||||
\(238\) | 1826.33 | − | 12702.4i | 0.497410 | − | 3.45956i | ||||
\(239\) | 3109.85 | − | 913.135i | 0.841672 | − | 0.247137i | 0.167648 | − | 0.985847i | \(-0.446383\pi\) |
0.674024 | + | 0.738710i | \(0.264565\pi\) | |||||||
\(240\) | 648.452 | + | 748.354i | 0.174406 | + | 0.201275i | ||||
\(241\) | −1647.18 | + | 1058.58i | −0.440267 | + | 0.282943i | −0.741937 | − | 0.670470i | \(-0.766093\pi\) |
0.301669 | + | 0.953413i | \(0.402456\pi\) | |||||||
\(242\) | 4965.88 | − | 3191.38i | 1.31909 | − | 0.847725i | ||||
\(243\) | −1043.19 | − | 1203.91i | −0.275395 | − | 0.317822i | ||||
\(244\) | 1215.27 | − | 356.836i | 0.318852 | − | 0.0936233i | ||||
\(245\) | −581.668 | + | 4045.59i | −0.151679 | + | 1.05495i | ||||
\(246\) | −3829.70 | + | 4419.71i | −0.992573 | + | 1.14549i | ||||
\(247\) | 221.019 | − | 483.963i | 0.0569355 | − | 0.124671i | ||||
\(248\) | 864.956 | + | 253.974i | 0.221471 | + | 0.0650297i | ||||
\(249\) | −724.671 | − | 1586.81i | −0.184434 | − | 0.403855i | ||||
\(250\) | 931.101 | + | 6475.95i | 0.235552 | + | 1.63830i | ||||
\(251\) | −2192.67 | − | 1409.14i | −0.551395 | − | 0.354360i | 0.235086 | − | 0.971975i | \(-0.424463\pi\) |
−0.786481 | + | 0.617615i | \(0.788099\pi\) | |||||||
\(252\) | −1836.17 | −0.458999 | ||||||||
\(253\) | 5202.76 | + | 2303.30i | 1.29286 | + | 0.572361i | ||||
\(254\) | −10223.5 | −2.52551 | ||||||||
\(255\) | −4303.02 | − | 2765.39i | −1.05673 | − | 0.679118i | ||||
\(256\) | 247.278 | + | 1719.85i | 0.0603705 | + | 0.419886i | ||||
\(257\) | −1902.83 | − | 4166.61i | −0.461849 | − | 1.01131i | −0.987062 | − | 0.160338i | \(-0.948742\pi\) |
0.525213 | − | 0.850971i | \(-0.323986\pi\) | |||||||
\(258\) | −3372.34 | − | 990.208i | −0.813770 | − | 0.238944i | ||||
\(259\) | 875.096 | − | 1916.19i | 0.209945 | − | 0.459716i | ||||
\(260\) | 560.517 | − | 646.871i | 0.133699 | − | 0.154297i | ||||
\(261\) | −101.637 | + | 706.901i | −0.0241041 | + | 0.167648i | ||||
\(262\) | 807.865 | − | 237.211i | 0.190496 | − | 0.0559348i | ||||
\(263\) | −3905.21 | − | 4506.86i | −0.915611 | − | 1.05667i | −0.998193 | − | 0.0600873i | \(-0.980862\pi\) |
0.0825820 | − | 0.996584i | \(-0.473683\pi\) | |||||||
\(264\) | 3286.90 | − | 2112.36i | 0.766267 | − | 0.492450i | ||||
\(265\) | 786.039 | − | 505.157i | 0.182211 | − | 0.117100i | ||||
\(266\) | 5974.25 | + | 6894.65i | 1.37708 | + | 1.58924i | ||||
\(267\) | −802.781 | + | 235.718i | −0.184005 | + | 0.0540288i | ||||
\(268\) | 86.3427 | − | 600.527i | 0.0196799 | − | 0.136877i | ||||
\(269\) | 991.775 | − | 1144.57i | 0.224794 | − | 0.259426i | −0.632138 | − | 0.774856i | \(-0.717822\pi\) |
0.856932 | + | 0.515430i | \(0.172368\pi\) | |||||||
\(270\) | −2900.65 | + | 6351.54i | −0.653807 | + | 1.43164i | ||||
\(271\) | 1721.54 | + | 505.490i | 0.385890 | + | 0.113308i | 0.468923 | − | 0.883239i | \(-0.344642\pi\) |
−0.0830324 | + | 0.996547i | \(0.526461\pi\) | |||||||
\(272\) | 914.009 | + | 2001.40i | 0.203750 | + | 0.446150i | ||||
\(273\) | 124.788 | + | 867.920i | 0.0276649 | + | 0.192414i | ||||
\(274\) | 11002.9 | + | 7071.14i | 2.42595 | + | 1.55906i | ||||
\(275\) | −850.673 | −0.186536 | ||||||||
\(276\) | 5437.61 | + | 2407.27i | 1.18589 | + | 0.525003i | ||||
\(277\) | −7997.68 | −1.73478 | −0.867390 | − | 0.497629i | \(-0.834204\pi\) | ||||
−0.867390 | + | 0.497629i | \(0.834204\pi\) | |||||||
\(278\) | 3133.70 | + | 2013.91i | 0.676068 | + | 0.434482i | ||||
\(279\) | −45.1308 | − | 313.892i | −0.00968427 | − | 0.0673556i | ||||
\(280\) | 1929.74 | + | 4225.53i | 0.411871 | + | 0.901871i | ||||
\(281\) | 4607.85 | + | 1352.99i | 0.978224 | + | 0.287233i | 0.731491 | − | 0.681851i | \(-0.238825\pi\) |
0.246733 | + | 0.969083i | \(0.420643\pi\) | |||||||
\(282\) | 3822.72 | − | 8370.58i | 0.807232 | − | 1.76759i | ||||
\(283\) | 1114.42 | − | 1286.11i | 0.234083 | − | 0.270146i | −0.626540 | − | 0.779390i | \(-0.715529\pi\) |
0.860622 | + | 0.509244i | \(0.170075\pi\) | |||||||
\(284\) | 729.590 | − | 5074.41i | 0.152441 | − | 1.06025i | ||||
\(285\) | 3488.94 | − | 1024.44i | 0.725147 | − | 0.212922i | ||||
\(286\) | 1052.66 | + | 1214.83i | 0.217640 | + | 0.251170i | ||||
\(287\) | 6525.13 | − | 4193.45i | 1.34204 | − | 0.862479i | ||||
\(288\) | 1086.10 | − | 697.995i | 0.222219 | − | 0.142812i | ||||
\(289\) | −4225.45 | − | 4876.43i | −0.860055 | − | 0.992556i | ||||
\(290\) | 5477.19 | − | 1608.25i | 1.10907 | − | 0.325654i | ||||
\(291\) | −378.939 | + | 2635.58i | −0.0763362 | + | 0.530930i | ||||
\(292\) | −5856.90 | + | 6759.23i | −1.17380 | + | 1.35464i | ||||
\(293\) | −916.229 | + | 2006.26i | −0.182685 | + | 0.400024i | −0.978712 | − | 0.205236i | \(-0.934204\pi\) |
0.796028 | + | 0.605260i | \(0.206931\pi\) | |||||||
\(294\) | −7697.34 | − | 2260.14i | −1.52693 | − | 0.448348i | ||||
\(295\) | −2511.68 | − | 5499.80i | −0.495713 | − | 1.08546i | ||||
\(296\) | −181.804 | − | 1264.47i | −0.0356998 | − | 0.248298i | ||||
\(297\) | −6552.84 | − | 4211.25i | −1.28025 | − | 0.822766i | ||||
\(298\) | 4489.80 | 0.872776 | ||||||||
\(299\) | −209.509 | + | 745.475i | −0.0405224 | + | 0.144187i | ||||
\(300\) | −889.073 | −0.171102 | ||||||||
\(301\) | 3921.59 | + | 2520.26i | 0.750953 | + | 0.482608i | ||||
\(302\) | 177.227 | + | 1232.64i | 0.0337691 | + | 0.234869i | ||||
\(303\) | 1289.55 | + | 2823.72i | 0.244497 | + | 0.535375i | ||||
\(304\) | −1500.77 | − | 440.666i | −0.283142 | − | 0.0831380i | ||||
\(305\) | −468.260 | + | 1025.35i | −0.0879099 | + | 0.192496i | ||||
\(306\) | −1792.79 | + | 2068.99i | −0.334924 | + | 0.386523i | ||||
\(307\) | −892.566 | + | 6207.93i | −0.165933 | + | 1.15409i | 0.721251 | + | 0.692674i | \(0.243567\pi\) |
−0.887184 | + | 0.461415i | \(0.847342\pi\) | |||||||
\(308\) | −15709.3 | + | 4612.68i | −2.90624 | + | 0.853350i | ||||
\(309\) | −3950.47 | − | 4559.08i | −0.727295 | − | 0.839343i | ||||
\(310\) | −2132.38 | + | 1370.40i | −0.390680 | + | 0.251075i | ||||
\(311\) | 375.495 | − | 241.316i | 0.0684642 | − | 0.0439993i | −0.505961 | − | 0.862556i | \(-0.668862\pi\) |
0.574425 | + | 0.818557i | \(0.305226\pi\) | |||||||
\(312\) | 348.218 | + | 401.865i | 0.0631858 | + | 0.0729203i | ||||
\(313\) | −539.854 | + | 158.516i | −0.0974900 | + | 0.0286257i | −0.330114 | − | 0.943941i | \(-0.607087\pi\) |
0.232624 | + | 0.972567i | \(0.425269\pi\) | |||||||
\(314\) | 658.621 | − | 4580.81i | 0.118370 | − | 0.823280i | ||||
\(315\) | 1070.13 | − | 1234.99i | 0.191412 | − | 0.220901i | ||||
\(316\) | 2762.41 | − | 6048.83i | 0.491765 | − | 1.07681i | ||||
\(317\) | 7173.76 | + | 2106.41i | 1.27104 | + | 0.373210i | 0.846591 | − | 0.532244i | \(-0.178651\pi\) |
0.424445 | + | 0.905454i | \(0.360469\pi\) | |||||||
\(318\) | 761.857 | + | 1668.23i | 0.134348 | + | 0.294182i | ||||
\(319\) | 906.266 | + | 6303.22i | 0.159063 | + | 1.10631i | ||||
\(320\) | −7234.45 | − | 4649.30i | −1.26381 | − | 0.812199i | ||||
\(321\) | −2009.25 | −0.349362 | ||||||||
\(322\) | −10135.2 | − | 8577.90i | −1.75407 | − | 1.48456i | ||||
\(323\) | 8079.62 | 1.39183 | ||||||||
\(324\) | −5310.65 | − | 3412.95i | −0.910605 | − | 0.585210i | ||||
\(325\) | −16.4762 | − | 114.594i | −0.00281210 | − | 0.0195586i | ||||
\(326\) | −6123.65 | − | 13408.9i | −1.04036 | − | 2.27807i | ||||
\(327\) | 5633.28 | + | 1654.08i | 0.952664 | + | 0.279727i | ||||
\(328\) | 1954.00 | − | 4278.66i | 0.328937 | − | 0.720272i | ||||
\(329\) | −7992.54 | + | 9223.88i | −1.33934 | + | 1.54568i | ||||
\(330\) | −1563.49 | + | 10874.3i | −0.260809 | + | 1.81397i | ||||
\(331\) | 856.507 | − | 251.493i | 0.142229 | − | 0.0417623i | −0.209843 | − | 0.977735i | \(-0.567295\pi\) |
0.352072 | + | 0.935973i | \(0.385477\pi\) | |||||||
\(332\) | 2902.98 | + | 3350.22i | 0.479885 | + | 0.553817i | ||||
\(333\) | −378.051 | + | 242.959i | −0.0622134 | + | 0.0399821i | ||||
\(334\) | −4122.27 | + | 2649.23i | −0.675332 | + | 0.434009i | ||||
\(335\) | 353.588 | + | 408.063i | 0.0576675 | + | 0.0665518i | ||||
\(336\) | 2473.38 | − | 726.250i | 0.401589 | − | 0.117917i | ||||
\(337\) | 113.708 | − | 790.853i | 0.0183800 | − | 0.127835i | −0.978566 | − | 0.205935i | \(-0.933976\pi\) |
0.996946 | + | 0.0781001i | \(0.0248854\pi\) | |||||||
\(338\) | 6243.24 | − | 7205.09i | 1.00470 | − | 1.15948i | ||||
\(339\) | 1039.80 | − | 2276.84i | 0.166590 | − | 0.364782i | ||||
\(340\) | 12471.7 | + | 3662.02i | 1.98933 | + | 0.584120i | ||||
\(341\) | −1174.65 | − | 2572.13i | −0.186542 | − | 0.408470i | ||||
\(342\) | −276.971 | − | 1926.38i | −0.0437920 | − | 0.304580i | ||||
\(343\) | 1126.21 | + | 723.772i | 0.177288 | + | 0.113936i | ||||
\(344\) | 2826.93 | 0.443075 | ||||||||
\(345\) | −4788.17 | + | 2254.33i | −0.747207 | + | 0.351794i | ||||
\(346\) | −1297.86 | −0.201658 | ||||||||
\(347\) | 7284.14 | + | 4681.23i | 1.12690 | + | 0.724212i | 0.964910 | − | 0.262581i | \(-0.0845735\pi\) |
0.161986 | + | 0.986793i | \(0.448210\pi\) | |||||||
\(348\) | 947.174 | + | 6587.74i | 0.145902 | + | 1.01477i | ||||
\(349\) | 3170.37 | + | 6942.14i | 0.486264 | + | 1.06477i | 0.980693 | + | 0.195551i | \(0.0626497\pi\) |
−0.494430 | + | 0.869218i | \(0.664623\pi\) | |||||||
\(350\) | 1904.74 | + | 559.282i | 0.290893 | + | 0.0854139i | ||||
\(351\) | 440.380 | − | 964.298i | 0.0669680 | − | 0.146639i | ||||
\(352\) | 7538.69 | − | 8700.11i | 1.14152 | − | 1.31738i | ||||
\(353\) | −394.577 | + | 2744.34i | −0.0594935 | + | 0.413787i | 0.938211 | + | 0.346065i | \(0.112482\pi\) |
−0.997704 | + | 0.0677220i | \(0.978427\pi\) | |||||||
\(354\) | 11386.7 | − | 3343.43i | 1.70959 | − | 0.501981i | ||||
\(355\) | 2987.80 | + | 3448.10i | 0.446692 | + | 0.515511i | ||||
\(356\) | 1788.62 | − | 1149.48i | 0.266283 | − | 0.171130i | ||||
\(357\) | −11202.0 | + | 7199.06i | −1.66070 | + | 1.06727i | ||||
\(358\) | −875.046 | − | 1009.86i | −0.129183 | − | 0.149086i | ||||
\(359\) | 1350.69 | − | 396.599i | 0.198570 | − | 0.0583055i | −0.180935 | − | 0.983495i | \(-0.557912\pi\) |
0.379505 | + | 0.925190i | \(0.376094\pi\) | |||||||
\(360\) | 141.031 | − | 980.895i | 0.0206473 | − | 0.143605i | ||||
\(361\) | 730.337 | − | 842.853i | 0.106479 | − | 0.122883i | ||||
\(362\) | 4180.29 | − | 9153.56i | 0.606937 | − | 1.32901i | ||||
\(363\) | −5876.90 | − | 1725.61i | −0.849744 | − | 0.249507i | ||||
\(364\) | −925.639 | − | 2026.87i | −0.133288 | − | 0.291859i | ||||
\(365\) | −1132.77 | − | 7878.61i | −0.162444 | − | 1.12982i | ||||
\(366\) | −1861.26 | − | 1196.16i | −0.265818 | − | 0.170831i | ||||
\(367\) | −6584.43 | −0.936525 | −0.468262 | − | 0.883589i | \(-0.655120\pi\) | ||||
−0.468262 | + | 0.883589i | \(0.655120\pi\) | |||||||
\(368\) | 2256.94 | + | 297.761i | 0.319704 | + | 0.0421789i | ||||
\(369\) | −1654.67 | −0.233439 | ||||||||
\(370\) | 3021.79 | + | 1941.99i | 0.424583 | + | 0.272863i | ||||
\(371\) | −346.168 | − | 2407.65i | −0.0484425 | − | 0.336925i | ||||
\(372\) | −1227.67 | − | 2688.23i | −0.171107 | − | 0.374673i | ||||
\(373\) | −1735.27 | − | 509.521i | −0.240882 | − | 0.0707292i | 0.159063 | − | 0.987268i | \(-0.449153\pi\) |
−0.399945 | + | 0.916539i | \(0.630971\pi\) | |||||||
\(374\) | −10140.6 | + | 22204.9i | −1.40203 | + | 3.07002i | ||||
\(375\) | 4445.62 | − | 5130.52i | 0.612189 | − | 0.706504i | ||||
\(376\) | −1053.33 | + | 7326.09i | −0.144472 | + | 1.00482i | ||||
\(377\) | −831.554 | + | 244.166i | −0.113600 | + | 0.0333560i | ||||
\(378\) | 11903.7 | + | 13737.6i | 1.61974 | + | 1.86928i | ||||
\(379\) | 4663.78 | − | 2997.23i | 0.632090 | − | 0.406220i | −0.184993 | − | 0.982740i | \(-0.559226\pi\) |
0.817083 | + | 0.576520i | \(0.195590\pi\) | |||||||
\(380\) | −7773.47 | + | 4995.71i | −1.04940 | + | 0.674406i | ||||
\(381\) | 6946.81 | + | 8017.05i | 0.934110 | + | 1.07802i | ||||
\(382\) | −14378.2 | + | 4221.82i | −1.92579 | + | 0.565463i | ||||
\(383\) | −1571.01 | + | 10926.6i | −0.209595 | + | 1.45777i | 0.564886 | + | 0.825169i | \(0.308920\pi\) |
−0.774481 | + | 0.632597i | \(0.781989\pi\) | |||||||
\(384\) | 5668.34 | − | 6541.61i | 0.753284 | − | 0.869336i | ||||
\(385\) | 6053.02 | − | 13254.3i | 0.801274 | − | 1.75455i | ||||
\(386\) | −22022.3 | − | 6466.32i | −2.90389 | − | 0.852660i | ||||
\(387\) | −413.112 | − | 904.589i | −0.0542627 | − | 0.118819i | ||||
\(388\) | −962.956 | − | 6697.51i | −0.125997 | − | 0.876326i | ||||
\(389\) | −6781.91 | − | 4358.47i | −0.883950 | − | 0.568080i | 0.0180401 | − | 0.999837i | \(-0.494257\pi\) |
−0.901990 | + | 0.431757i | \(0.857894\pi\) | |||||||
\(390\) | −1495.16 | −0.194129 | ||||||||
\(391\) | −11619.5 | + | 1808.74i | −1.50287 | + | 0.233944i | ||||
\(392\) | 6452.45 | 0.831372 | ||||||||
\(393\) | −734.956 | − | 472.327i | −0.0943349 | − | 0.0606253i | ||||
\(394\) | 385.787 | + | 2683.21i | 0.0493292 | + | 0.343092i | ||||
\(395\) | 2458.45 | + | 5383.26i | 0.313160 | + | 0.685724i | ||||
\(396\) | 3351.26 | + | 984.018i | 0.425270 | + | 0.124871i | ||||
\(397\) | 3953.74 | − | 8657.48i | 0.499830 | − | 1.09448i | −0.476695 | − | 0.879069i | \(-0.658165\pi\) |
0.976525 | − | 0.215406i | \(-0.0691075\pi\) | |||||||
\(398\) | 11414.3 | − | 13172.8i | 1.43756 | − | 1.65903i | ||||
\(399\) | 1347.17 | − | 9369.76i | 0.169029 | − | 1.17563i | ||||
\(400\) | −326.568 | + | 95.8891i | −0.0408210 | + | 0.0119861i | ||||
\(401\) | 6520.38 | + | 7524.92i | 0.812000 | + | 0.937098i | 0.998975 | − | 0.0452663i | \(-0.0144136\pi\) |
−0.186975 | + | 0.982365i | \(0.559868\pi\) | |||||||
\(402\) | −891.559 | + | 572.970i | −0.110614 | + | 0.0710874i | ||||
\(403\) | 323.740 | − | 208.055i | 0.0400165 | − | 0.0257170i | ||||
\(404\) | −5165.85 | − | 5961.71i | −0.636165 | − | 0.734174i | ||||
\(405\) | 5390.59 | − | 1582.82i | 0.661384 | − | 0.194200i | ||||
\(406\) | 2114.88 | − | 14709.3i | 0.258522 | − | 1.79806i | ||||
\(407\) | −2624.07 | + | 3028.34i | −0.319584 | + | 0.368819i | ||||
\(408\) | −3354.51 | + | 7345.34i | −0.407041 | + | 0.891296i | ||||
\(409\) | 9486.01 | + | 2785.34i | 1.14683 | + | 0.336739i | 0.799301 | − | 0.600931i | \(-0.205203\pi\) |
0.347527 | + | 0.937670i | \(0.387021\pi\) | |||||||
\(410\) | 5494.26 | + | 12030.7i | 0.661810 | + | 1.44916i | ||||
\(411\) | −1931.38 | − | 13433.0i | −0.231796 | − | 1.61217i | ||||
\(412\) | 12896.2 | + | 8287.91i | 1.54212 | + | 0.991058i | ||||
\(413\) | −15739.9 | −1.87532 | ||||||||
\(414\) | 829.566 | + | 2708.35i | 0.0984805 | + | 0.321518i | ||||
\(415\) | −3945.20 | −0.466656 | ||||||||
\(416\) | 1318.01 | + | 847.031i | 0.155338 | + | 0.0998296i | ||||
\(417\) | −550.070 | − | 3825.82i | −0.0645972 | − | 0.449284i | ||||
\(418\) | −7208.91 | − | 15785.3i | −0.843539 | − | 1.84709i | ||||
\(419\) | −3999.15 | − | 1174.26i | −0.466279 | − | 0.136912i | 0.0401495 | − | 0.999194i | \(-0.487217\pi\) |
−0.506429 | + | 0.862282i | \(0.669035\pi\) | |||||||
\(420\) | 6326.25 | − | 13852.6i | 0.734975 | − | 1.60937i | ||||
\(421\) | −4699.13 | + | 5423.08i | −0.543994 | + | 0.627803i | −0.959473 | − | 0.281800i | \(-0.909069\pi\) |
0.415479 | + | 0.909603i | \(0.363614\pi\) | |||||||
\(422\) | −3207.80 | + | 22310.8i | −0.370032 | + | 2.57363i | ||||
\(423\) | 2498.20 | − | 733.538i | 0.287155 | − | 0.0843164i | ||||
\(424\) | −965.974 | − | 1114.79i | −0.110641 | − | 0.127687i | ||||
\(425\) | 1479.03 | − | 950.515i | 0.168808 | − | 0.108486i | ||||
\(426\) | −7533.61 | + | 4841.56i | −0.856818 | + | 0.550644i | ||||
\(427\) | 1921.65 | + | 2217.70i | 0.217787 | + | 0.251340i | ||||
\(428\) | 4899.05 | − | 1438.49i | 0.553282 | − | 0.162458i | ||||
\(429\) | 237.370 | − | 1650.95i | 0.0267141 | − | 0.185801i | ||||
\(430\) | −5205.34 | + | 6007.28i | −0.583776 | + | 0.673713i | ||||
\(431\) | −1883.01 | + | 4123.22i | −0.210444 | + | 0.460809i | −0.985190 | − | 0.171463i | \(-0.945150\pi\) |
0.774746 | + | 0.632273i | \(0.217878\pi\) | |||||||
\(432\) | −2990.29 | − | 878.029i | −0.333034 | − | 0.0977875i | ||||
\(433\) | 6022.75 | + | 13188.0i | 0.668441 | + | 1.46368i | 0.874442 | + | 0.485130i | \(0.161228\pi\) |
−0.206000 | + | 0.978552i | \(0.566045\pi\) | |||||||
\(434\) | 939.091 | + | 6531.52i | 0.103866 | + | 0.722403i | ||||
\(435\) | −4982.88 | − | 3202.30i | −0.549220 | − | 0.352962i | ||||
\(436\) | −14919.6 | −1.63880 | ||||||||
\(437\) | 4437.52 | − | 7084.67i | 0.485756 | − | 0.775528i | ||||
\(438\) | 15623.1 | 1.70434 | ||||||||
\(439\) | −753.056 | − | 483.959i | −0.0818710 | − | 0.0526153i | 0.499065 | − | 0.866565i | \(-0.333677\pi\) |
−0.580936 | + | 0.813949i | \(0.697313\pi\) | |||||||
\(440\) | −1257.53 | − | 8746.34i | −0.136251 | − | 0.947648i | ||||
\(441\) | −942.925 | − | 2064.72i | −0.101817 | − | 0.222948i | ||||
\(442\) | −3187.63 | − | 935.974i | −0.343032 | − | 0.100723i | ||||
\(443\) | 4084.52 | − | 8943.85i | 0.438062 | − | 0.959221i | −0.553888 | − | 0.832591i | \(-0.686857\pi\) |
0.991950 | − | 0.126630i | \(-0.0404162\pi\) | |||||||
\(444\) | −2742.53 | + | 3165.04i | −0.293141 | + | 0.338302i | ||||
\(445\) | −269.287 | + | 1872.93i | −0.0286864 | + | 0.199518i | ||||
\(446\) | −3973.42 | + | 1166.70i | −0.421854 | + | 0.123868i | ||||
\(447\) | −3050.80 | − | 3520.81i | −0.322814 | − | 0.372547i | ||||
\(448\) | −18833.3 | + | 12103.4i | −1.98613 | + | 1.27641i | ||||
\(449\) | 12126.6 | − | 7793.30i | 1.27459 | − | 0.819128i | 0.284378 | − | 0.958712i | \(-0.408213\pi\) |
0.990210 | + | 0.139585i | \(0.0445767\pi\) | |||||||
\(450\) | −277.327 | − | 320.053i | −0.0290518 | − | 0.0335276i | ||||
\(451\) | −14156.6 | + | 4156.74i | −1.47806 | + | 0.433998i | ||||
\(452\) | −905.221 | + | 6295.95i | −0.0941991 | + | 0.655169i | ||||
\(453\) | 846.187 | − | 976.552i | 0.0877645 | − | 0.101286i | ||||
\(454\) | −883.731 | + | 1935.10i | −0.0913559 | + | 0.200041i | ||||
\(455\) | 1902.72 | + | 558.689i | 0.196046 | + | 0.0575643i | ||||
\(456\) | −2384.70 | − | 5221.76i | −0.244898 | − | 0.536253i | ||||
\(457\) | −798.559 | − | 5554.10i | −0.0817396 | − | 0.568511i | −0.988997 | − | 0.147936i | \(-0.952737\pi\) |
0.907257 | − | 0.420576i | \(-0.138172\pi\) | |||||||
\(458\) | 16174.3 | + | 10394.6i | 1.65016 | + | 1.06050i | ||||
\(459\) | 16098.7 | 1.63708 | ||||||||
\(460\) | 10060.8 | − | 8924.63i | 1.01976 | − | 0.904594i | ||||
\(461\) | −5971.94 | −0.603343 | −0.301671 | − | 0.953412i | \(-0.597545\pi\) | ||||
−0.301671 | + | 0.953412i | \(0.597545\pi\) | |||||||
\(462\) | 24059.7 | + | 15462.3i | 2.42286 | + | 1.55708i | ||||
\(463\) | 2318.93 | + | 16128.5i | 0.232765 | + | 1.61891i | 0.686054 | + | 0.727550i | \(0.259341\pi\) |
−0.453290 | + | 0.891363i | \(0.649750\pi\) | |||||||
\(464\) | 1058.42 | + | 2317.61i | 0.105896 | + | 0.231880i | ||||
\(465\) | 2523.58 | + | 740.989i | 0.251673 | + | 0.0738979i | ||||
\(466\) | 3901.31 | − | 8542.68i | 0.387821 | − | 0.849210i | ||||
\(467\) | 10550.4 | − | 12175.8i | 1.04543 | − | 1.20648i | 0.0674589 | − | 0.997722i | \(-0.478511\pi\) |
0.977966 | − | 0.208763i | \(-0.0669437\pi\) | |||||||
\(468\) | −67.6487 | + | 470.507i | −0.00668176 | + | 0.0464727i | ||||
\(469\) | 1348.69 | − | 396.010i | 0.132786 | − | 0.0389894i | ||||
\(470\) | −13628.5 | − | 15728.2i | −1.33753 | − | 1.54359i | ||||
\(471\) | −4039.70 | + | 2596.16i | −0.395201 | + | 0.253980i | ||||
\(472\) | −8029.86 | + | 5160.48i | −0.783060 | + | 0.503242i | ||||
\(473\) | −5806.82 | − | 6701.42i | −0.564477 | − | 0.651441i | ||||
\(474\) | −11145.4 | + | 3272.58i | −1.08001 | + | 0.317120i | ||||
\(475\) | −177.871 | + | 1237.12i | −0.0171816 | + | 0.119501i | ||||
\(476\) | 22159.1 | − | 25573.0i | 2.13374 | − | 2.46247i | ||||
\(477\) | −215.561 | + | 472.012i | −0.0206915 | + | 0.0453080i | ||||
\(478\) | 13804.6 | + | 4053.40i | 1.32094 | + | 0.387862i | ||||
\(479\) | 1772.02 | + | 3880.19i | 0.169031 | + | 0.370126i | 0.975123 | − | 0.221664i | \(-0.0711488\pi\) |
−0.806092 | + | 0.591790i | \(0.798422\pi\) | |||||||
\(480\) | 1523.86 | + | 10598.7i | 0.144905 | + | 1.00784i | ||||
\(481\) | −458.773 | − | 294.835i | −0.0434890 | − | 0.0279487i | ||||
\(482\) | −8691.60 | −0.821352 | ||||||||
\(483\) | 160.173 | + | 13776.4i | 0.0150892 | + | 1.29782i | ||||
\(484\) | 15564.8 | 1.46176 | ||||||||
\(485\) | 5065.90 | + | 3255.66i | 0.474290 | + | 0.304808i | ||||
\(486\) | −1006.35 | − | 6999.34i | −0.0939282 | − | 0.653285i | ||||
\(487\) | 1371.13 | + | 3002.36i | 0.127581 | + | 0.279363i | 0.962634 | − | 0.270806i | \(-0.0872903\pi\) |
−0.835053 | + | 0.550170i | \(0.814563\pi\) | |||||||
\(488\) | 1707.44 | + | 501.351i | 0.158386 | + | 0.0465063i | ||||
\(489\) | −6354.00 | + | 13913.3i | −0.587603 | + | 1.28667i | ||||
\(490\) | −11881.1 | + | 13711.6i | −1.09538 | + | 1.26413i | ||||
\(491\) | 2431.48 | − | 16911.3i | 0.223485 | − | 1.55437i | −0.501224 | − | 0.865318i | \(-0.667117\pi\) |
0.724709 | − | 0.689055i | \(-0.241974\pi\) | |||||||
\(492\) | −14795.6 | + | 4344.38i | −1.35577 | + | 0.398089i | ||||
\(493\) | −8618.70 | − | 9946.51i | −0.787356 | − | 0.908658i | ||||
\(494\) | 1986.82 | − | 1276.85i | 0.180954 | − | 0.116292i | ||||
\(495\) | −2614.97 | + | 1680.54i | −0.237443 | + | 0.152595i | ||||
\(496\) | −740.875 | − | 855.015i | −0.0670691 | − | 0.0774019i | ||||
\(497\) | 11396.3 | − | 3346.26i | 1.02856 | − | 0.302012i | ||||
\(498\) | 1102.03 | − | 7664.78i | 0.0991629 | − | 0.689693i | ||||
\(499\) | −7603.82 | + | 8775.27i | −0.682151 | + | 0.787245i | −0.986226 | − | 0.165404i | \(-0.947107\pi\) |
0.304075 | + | 0.952648i | \(0.401653\pi\) | |||||||
\(500\) | −7166.43 | + | 15692.3i | −0.640985 | + | 1.40356i | ||||
\(501\) | 4878.53 | + | 1432.47i | 0.435043 | + | 0.127740i | ||||
\(502\) | −4806.32 | − | 10524.4i | −0.427324 | − | 0.935709i | ||||
\(503\) | 72.3393 | + | 503.131i | 0.00641242 | + | 0.0445994i | 0.992776 | − | 0.119979i | \(-0.0382827\pi\) |
−0.986364 | + | 0.164578i | \(0.947374\pi\) | |||||||
\(504\) | −2170.27 | − | 1394.74i | −0.191808 | − | 0.123268i | ||||
\(505\) | 7020.48 | 0.618628 | ||||||||
\(506\) | 13901.1 | + | 21087.4i | 1.22130 | + | 1.85266i | ||||
\(507\) | −9892.33 | −0.866536 | ||||||||
\(508\) | −22677.8 | − | 14574.1i | −1.98064 | − | 1.27288i | ||||
\(509\) | 414.676 | + | 2884.13i | 0.0361104 | + | 0.251153i | 0.999878 | − | 0.0155883i | \(-0.00496210\pi\) |
−0.963768 | + | 0.266741i | \(0.914053\pi\) | |||||||
\(510\) | −9432.21 | − | 20653.7i | −0.818952 | − | 1.79325i | ||||
\(511\) | −19881.8 | − | 5837.81i | −1.72117 | − | 0.505381i | ||||
\(512\) | 3041.29 | − | 6659.50i | 0.262514 | − | 0.574826i | ||||
\(513\) | −7494.51 | + | 8649.12i | −0.645011 | + | 0.744382i | ||||
\(514\) | 2893.69 | − | 20126.1i | 0.248318 | − | 1.72709i | ||||
\(515\) | −13090.4 | + | 3843.68i | −1.12006 | + | 0.328879i | ||||
\(516\) | −6068.94 | − | 7003.93i | −0.517771 | − | 0.597540i | ||||
\(517\) | 19530.6 | − | 12551.6i | 1.66142 | − | 1.06773i | ||||
\(518\) | 7866.56 | − | 5055.53i | 0.667253 | − | 0.428817i | ||||
\(519\) | 881.893 | + | 1017.76i | 0.0745873 | + | 0.0860783i | ||||
\(520\) | 1153.86 | − | 338.805i | 0.0973082 | − | 0.0285723i | ||||
\(521\) | −3356.37 | + | 23344.1i | −0.282237 | + | 1.96300i | −0.0130386 | + | 0.999915i | \(0.504150\pi\) |
−0.269198 | + | 0.963085i | \(0.586759\pi\) | |||||||
\(522\) | −2076.04 | + | 2395.87i | −0.174072 | + | 0.200890i | ||||
\(523\) | 5544.02 | − | 12139.7i | 0.463524 | − | 1.01498i | −0.523146 | − | 0.852243i | \(-0.675242\pi\) |
0.986670 | − | 0.162733i | \(-0.0520310\pi\) | |||||||
\(524\) | 2130.16 | + | 625.472i | 0.177589 | + | 0.0521448i | ||||
\(525\) | −855.683 | − | 1873.69i | −0.0711335 | − | 0.155761i | ||||
\(526\) | −3767.30 | − | 26202.2i | −0.312285 | − | 2.17199i | ||||
\(527\) | 4916.33 | + | 3159.53i | 0.406373 | + | 0.261160i | ||||
\(528\) | −4903.46 | −0.404159 | ||||||||
\(529\) | −4795.67 | + | 11182.0i | −0.394154 | + | 0.919045i | ||||
\(530\) | 4147.64 | 0.339929 | ||||||||
\(531\) | 2824.74 | + | 1815.35i | 0.230854 | + | 0.148361i | ||||
\(532\) | 3423.41 | + | 23810.3i | 0.278991 | + | 1.94043i | ||||
\(533\) | −834.145 | − | 1826.52i | −0.0677876 | − | 0.148434i | ||||
\(534\) | −3563.54 | − | 1046.35i | −0.288782 | − | 0.0847940i | ||||
\(535\) | −1887.67 | + | 4133.42i | −0.152544 | + | 0.334025i | ||||
\(536\) | 558.210 | − | 644.209i | 0.0449832 | − | 0.0519134i | ||||
\(537\) | −197.319 | + | 1372.39i | −0.0158565 | + | 0.110285i | ||||
\(538\) | 6450.45 | − | 1894.02i | 0.516912 | − | 0.151779i | ||||
\(539\) | −13254.0 | − | 15296.0i | −1.05917 | − | 1.22234i | ||||
\(540\) | −15488.7 | + | 9953.96i | −1.23431 | + | 0.793241i | ||||
\(541\) | 10827.9 | − | 6958.67i | 0.860495 | − | 0.553006i | −0.0343368 | − | 0.999410i | \(-0.510932\pi\) |
0.894832 | + | 0.446404i | \(0.147296\pi\) | |||||||
\(542\) | 5215.66 | + | 6019.19i | 0.413343 | + | 0.477023i | ||||
\(543\) | −10018.5 | + | 2941.70i | −0.791779 | + | 0.232487i | ||||
\(544\) | −3385.98 | + | 23550.0i | −0.266862 | + | 1.85606i | ||||
\(545\) | 8695.19 | − | 10034.8i | 0.683414 | − | 0.788702i | ||||
\(546\) | −1616.92 | + | 3540.57i | −0.126736 | + | 0.277513i | ||||
\(547\) | 5553.77 | + | 1630.73i | 0.434117 | + | 0.127468i | 0.491487 | − | 0.870885i | \(-0.336453\pi\) |
−0.0573702 | + | 0.998353i | \(0.518272\pi\) | |||||||
\(548\) | 14326.4 | + | 31370.4i | 1.11678 | + | 2.44540i | ||||
\(549\) | −89.0892 | − | 619.629i | −0.00692575 | − | 0.0481696i | ||||
\(550\) | −3176.68 | − | 2041.53i | −0.246280 | − | 0.158275i | ||||
\(551\) | 9356.15 | 0.723386 | ||||||||
\(552\) | 4598.45 | + | 6975.66i | 0.354571 | + | 0.537869i | ||||
\(553\) | 15406.3 | 1.18471 | ||||||||
\(554\) | −29865.9 | − | 19193.6i | −2.29040 | − | 1.47195i | ||||
\(555\) | −530.427 | − | 3689.20i | −0.0405682 | − | 0.282158i | ||||
\(556\) | 4080.25 | + | 8934.50i | 0.311225 | + | 0.681488i | ||||
\(557\) | −18073.8 | − | 5306.94i | −1.37488 | − | 0.403702i | −0.490898 | − | 0.871217i | \(-0.663331\pi\) |
−0.883985 | + | 0.467515i | \(0.845149\pi\) | |||||||
\(558\) | 584.776 | − | 1280.48i | 0.0443648 | − | 0.0971453i | ||||
\(559\) | 790.281 | − | 912.033i | 0.0597948 | − | 0.0690069i | ||||
\(560\) | 829.678 | − | 5770.54i | 0.0626077 | − | 0.435446i | ||||
\(561\) | 24303.1 | − | 7136.04i | 1.82902 | − | 0.537048i | ||||
\(562\) | 13960.1 | + | 16110.8i | 1.04782 | + | 1.20924i | ||||
\(563\) | −6045.17 | + | 3885.00i | −0.452529 | + | 0.290823i | −0.746983 | − | 0.664843i | \(-0.768498\pi\) |
0.294454 | + | 0.955666i | \(0.404862\pi\) | |||||||
\(564\) | 20412.2 | − | 13118.2i | 1.52395 | − | 0.979386i | ||||
\(565\) | −3707.04 | − | 4278.15i | −0.276029 | − | 0.318554i | ||||
\(566\) | 7248.13 | − | 2128.24i | 0.538272 | − | 0.158051i | ||||
\(567\) | 2081.44 | − | 14476.8i | 0.154166 | − | 1.07225i | ||||
\(568\) | 4716.83 | − | 5443.52i | 0.348440 | − | 0.402121i | ||||
\(569\) | −136.845 | + | 299.649i | −0.0100823 | + | 0.0220772i | −0.914606 | − | 0.404346i | \(-0.867499\pi\) |
0.904524 | + | 0.426423i | \(0.140226\pi\) | |||||||
\(570\) | 15487.4 | + | 4547.50i | 1.13806 | + | 0.334165i | ||||
\(571\) | 1179.14 | + | 2581.95i | 0.0864192 | + | 0.189232i | 0.947907 | − | 0.318546i | \(-0.103194\pi\) |
−0.861488 | + | 0.507777i | \(0.830467\pi\) | |||||||
\(572\) | 603.203 | + | 4195.37i | 0.0440930 | + | 0.306673i | ||||
\(573\) | 13080.6 | + | 8406.37i | 0.953662 | + | 0.612881i | ||||
\(574\) | 34430.8 | 2.50368 | ||||||||
\(575\) | −21.1481 | − | 1818.94i | −0.00153380 | − | 0.131922i | ||||
\(576\) | 4775.82 | 0.345473 | ||||||||
\(577\) | −5631.03 | − | 3618.84i | −0.406279 | − | 0.261099i | 0.321503 | − | 0.946909i | \(-0.395812\pi\) |
−0.727781 | + | 0.685809i | \(0.759448\pi\) | |||||||
\(578\) | −4076.23 | − | 28350.8i | −0.293337 | − | 2.04020i | ||||
\(579\) | 9893.26 | + | 21663.2i | 0.710103 | + | 1.55491i | ||||
\(580\) | 14442.2 | + | 4240.60i | 1.03393 | + | 0.303588i | ||||
\(581\) | −4266.50 | + | 9342.32i | −0.304654 | + | 0.667099i | ||||
\(582\) | −7740.21 | + | 8932.68i | −0.551275 | + | 0.636206i | ||||
\(583\) | −658.478 | + | 4579.81i | −0.0467776 | + | 0.325345i | ||||
\(584\) | −12056.9 | + | 3540.21i | −0.854309 | + | 0.250848i | ||||
\(585\) | −277.033 | − | 319.714i | −0.0195794 | − | 0.0225958i | ||||
\(586\) | −8236.32 | + | 5293.16i | −0.580613 | + | 0.373137i | ||||
\(587\) | −21521.8 | + | 13831.2i | −1.51329 | + | 0.972532i | −0.520345 | + | 0.853956i | \(0.674197\pi\) |
−0.992945 | + | 0.118576i | \(0.962167\pi\) | |||||||
\(588\) | −13852.3 | − | 15986.4i | −0.971530 | − | 1.12120i | ||||
\(589\) | −3986.21 | + | 1170.46i | −0.278861 | + | 0.0818809i | ||||
\(590\) | 3819.58 | − | 26565.8i | 0.266525 | − | 1.85372i | ||||
\(591\) | 1841.98 | − | 2125.75i | 0.128204 | − | 0.147956i | ||||
\(592\) | −666.007 | + | 1458.35i | −0.0462377 | + | 0.101246i | ||||
\(593\) | −24663.7 | − | 7241.92i | −1.70795 | − | 0.501501i | −0.725535 | − | 0.688185i | \(-0.758408\pi\) |
−0.982420 | + | 0.186685i | \(0.940226\pi\) | |||||||
\(594\) | −14363.8 | − | 31452.3i | −0.992177 | − | 2.17257i | ||||
\(595\) | 4285.76 | + | 29808.1i | 0.295292 | + | 2.05380i | ||||
\(596\) | 9959.28 | + | 6400.44i | 0.684477 | + | 0.439886i | ||||
\(597\) | −18085.8 | −1.23987 | ||||||||
\(598\) | −2571.44 | + | 2281.04i | −0.175843 | + | 0.155985i | ||||
\(599\) | 258.038 | 0.0176012 | 0.00880061 | − | 0.999961i | \(-0.497199\pi\) | ||||
0.00880061 | + | 0.999961i | \(0.497199\pi\) | |||||||
\(600\) | −1050.84 | − | 675.335i | −0.0715007 | − | 0.0459507i | ||||
\(601\) | −1838.77 | − | 12788.9i | −0.124800 | − | 0.868005i | −0.952000 | − | 0.306098i | \(-0.900977\pi\) |
0.827200 | − | 0.561908i | \(-0.189932\pi\) | |||||||
\(602\) | 8596.12 | + | 18822.9i | 0.581979 | + | 1.27436i | ||||
\(603\) | −287.714 | − | 84.4804i | −0.0194305 | − | 0.00570532i | ||||
\(604\) | −1364.07 | + | 2986.89i | −0.0918927 | + | 0.201217i | ||||
\(605\) | −9071.22 | + | 10468.7i | −0.609583 | + | 0.703496i | ||||
\(606\) | −1961.06 | + | 13639.5i | −0.131456 | + | 0.914299i | ||||
\(607\) | 5079.87 | − | 1491.58i | 0.339679 | − | 0.0997389i | −0.107444 | − | 0.994211i | \(-0.534267\pi\) |
0.447123 | + | 0.894472i | \(0.352448\pi\) | |||||||
\(608\) | −11076.1 | − | 12782.5i | −0.738810 | − | 0.852632i | ||||
\(609\) | −12971.8 | + | 8336.47i | −0.863127 | + | 0.554698i | ||||
\(610\) | −4209.36 | + | 2705.19i | −0.279397 | + | 0.179558i | ||||
\(611\) | 2069.10 | + | 2387.87i | 0.137000 | + | 0.158106i | ||||
\(612\) | −6926.21 | + | 2033.72i | −0.457476 | + | 0.134327i | ||||
\(613\) | 2313.29 | − | 16089.3i | 0.152419 | − | 1.06010i | −0.759731 | − | 0.650238i | \(-0.774669\pi\) |
0.912149 | − | 0.409858i | \(-0.134422\pi\) | |||||||
\(614\) | −18231.5 | + | 21040.3i | −1.19831 | + | 1.38293i | ||||
\(615\) | 5700.94 | − | 12483.3i | 0.373795 | − | 0.818497i | ||||
\(616\) | −22071.5 | − | 6480.77i | −1.44364 | − | 0.423892i | ||||
\(617\) | 8784.12 | + | 19234.5i | 0.573153 | + | 1.25503i | 0.945101 | + | 0.326777i | \(0.105963\pi\) |
−0.371948 | + | 0.928253i | \(0.621310\pi\) | |||||||
\(618\) | −3810.96 | − | 26505.8i | −0.248057 | − | 1.72527i | ||||
\(619\) | 5753.24 | + | 3697.38i | 0.373574 | + | 0.240081i | 0.713933 | − | 0.700214i | \(-0.246912\pi\) |
−0.340359 | + | 0.940296i | \(0.610549\pi\) | |||||||
\(620\) | −6683.61 | −0.432936 | ||||||||
\(621\) | 8841.77 | − | 14116.2i | 0.571349 | − | 0.912182i | ||||
\(622\) | 1981.35 | 0.127725 | ||||||||
\(623\) | 4143.93 | + | 2663.14i | 0.266490 | + | 0.171263i | ||||
\(624\) | −94.9721 | − | 660.546i | −0.00609283 | − | 0.0423766i | ||||
\(625\) | −5521.54 | − | 12090.5i | −0.353378 | − | 0.773790i | ||||
\(626\) | −2396.41 | − | 703.649i | −0.153003 | − | 0.0449257i | ||||
\(627\) | −7480.10 | + | 16379.1i | −0.476437 | + | 1.04325i | ||||
\(628\) | 7991.13 | − | 9222.25i | 0.507772 | − | 0.586000i | ||||
\(629\) | 1178.60 | − | 8197.31i | 0.0747117 | − | 0.519632i | ||||
\(630\) | 6960.05 | − | 2043.66i | 0.440151 | − | 0.129240i | ||||
\(631\) | −3991.50 | − | 4606.44i | −0.251821 | − | 0.290617i | 0.615738 | − | 0.787951i | \(-0.288858\pi\) |
−0.867559 | + | 0.497334i | \(0.834312\pi\) | |||||||
\(632\) | 7859.70 | − | 5051.12i | 0.494687 | − | 0.317916i | ||||
\(633\) | 19675.3 | − | 12644.6i | 1.23542 | − | 0.793959i | ||||
\(634\) | 21733.9 | + | 25082.3i | 1.36146 | + | 1.57121i | ||||
\(635\) | 23019.1 | − | 6759.03i | 1.43856 | − | 0.422400i | ||||
\(636\) | −688.201 | + | 4786.54i | −0.0429072 | + | 0.298426i | ||||
\(637\) | 1803.81 | − | 2081.71i | 0.112197 | − | 0.129482i | ||||
\(638\) | −11742.8 | + | 25713.2i | −0.728687 | + | 1.59560i | ||||
\(639\) | −2431.16 | − | 713.854i | −0.150509 | − | 0.0441935i | ||||
\(640\) | −8132.04 | − | 17806.7i | −0.502261 | − | 1.09980i | ||||
\(641\) | −225.030 | − | 1565.12i | −0.0138661 | − | 0.0964408i | 0.981713 | − | 0.190366i | \(-0.0609676\pi\) |
−0.995579 | + | 0.0939254i | \(0.970058\pi\) | |||||||
\(642\) | −7503.17 | − | 4821.99i | −0.461256 | − | 0.296431i | ||||
\(643\) | −4161.14 | −0.255209 | −0.127604 | − | 0.991825i | \(-0.540729\pi\) | ||||
−0.127604 | + | 0.991825i | \(0.540729\pi\) | |||||||
\(644\) | −10253.6 | − | 33475.7i | −0.627402 | − | 2.04833i | ||||
\(645\) | 8247.78 | 0.503498 | ||||||||
\(646\) | 30171.9 | + | 19390.3i | 1.83761 | + | 1.18096i | ||||
\(647\) | −342.709 | − | 2383.60i | −0.0208243 | − | 0.144836i | 0.976757 | − | 0.214351i | \(-0.0687638\pi\) |
−0.997581 | + | 0.0695155i | \(0.977855\pi\) | |||||||
\(648\) | −3684.48 | − | 8067.88i | −0.223364 | − | 0.489099i | ||||
\(649\) | 28727.4 | + | 8435.13i | 1.73752 | + | 0.510182i | ||||
\(650\) | 213.488 | − | 467.473i | 0.0128826 | − | 0.0282089i | ||||
\(651\) | 4483.77 | − | 5174.55i | 0.269943 | − | 0.311531i | ||||
\(652\) | 5531.62 | − | 38473.2i | 0.332262 | − | 2.31093i | ||||
\(653\) | −5771.09 | + | 1694.54i | −0.345850 | + | 0.101551i | −0.450044 | − | 0.893006i | \(-0.648592\pi\) |
0.104194 | + | 0.994557i | \(0.466774\pi\) | |||||||
\(654\) | 17066.8 | + | 19696.2i | 1.02044 | + | 1.17765i | ||||
\(655\) | −1662.16 | + | 1068.20i | −0.0991539 | + | 0.0637223i | ||||
\(656\) | −4966.06 | + | 3191.50i | −0.295567 | + | 0.189950i | ||||
\(657\) | 2894.75 | + | 3340.72i | 0.171895 | + | 0.198378i | ||||
\(658\) | −51983.1 | + | 15263.6i | −3.07981 | + | 0.904312i | ||||
\(659\) | 717.924 | − | 4993.27i | 0.0424376 | − | 0.295160i | −0.957539 | − | 0.288304i | \(-0.906909\pi\) |
0.999976 | − | 0.00685582i | \(-0.00218229\pi\) | |||||||
\(660\) | −18970.0 | + | 21892.5i | −1.11880 | + | 1.29116i | ||||
\(661\) | −3900.95 | + | 8541.90i | −0.229545 | + | 0.502634i | −0.988998 | − | 0.147928i | \(-0.952740\pi\) |
0.759453 | + | 0.650563i | \(0.225467\pi\) | |||||||
\(662\) | 3802.03 | + | 1116.38i | 0.223218 | + | 0.0655426i | ||||
\(663\) | 1432.01 | + | 3135.66i | 0.0838833 | + | 0.183679i | ||||
\(664\) | 886.377 | + | 6164.89i | 0.0518044 | + | 0.360307i | ||||
\(665\) | −18009.8 | − | 11574.2i | −1.05021 | − | 0.674929i | ||||
\(666\) | −1994.84 | −0.116064 | ||||||||
\(667\) | −13455.3 | + | 2094.52i | −0.781094 | + | 0.121589i | ||||
\(668\) | −12920.6 | −0.748375 | ||||||||
\(669\) | 3614.83 | + | 2323.11i | 0.208905 | + | 0.134255i | ||||
\(670\) | 341.102 | + | 2372.41i | 0.0196685 | + | 0.136797i | ||||
\(671\) | −2318.79 | − | 5077.44i | −0.133407 | − | 0.292120i | ||||
\(672\) | 26745.9 | + | 7853.30i | 1.53533 | + | 0.450815i | ||||
\(673\) | −4981.10 | + | 10907.1i | −0.285301 | + | 0.624722i | −0.996969 | − | 0.0777936i | \(-0.975212\pi\) |
0.711669 | + | 0.702515i | \(0.247940\pi\) | |||||||
\(674\) | 2322.59 | − | 2680.41i | 0.132734 | − | 0.153183i | ||||
\(675\) | −354.408 | + | 2464.96i | −0.0202092 | + | 0.140558i | ||||
\(676\) | 24120.0 | − | 7082.27i | 1.37233 | − | 0.402951i | ||||
\(677\) | 13045.2 | + | 15054.9i | 0.740571 | + | 0.854664i | 0.993619 | − | 0.112790i | \(-0.0359786\pi\) |
−0.253048 | + | 0.967454i | \(0.581433\pi\) | |||||||
\(678\) | 9347.14 | − | 6007.04i | 0.529461 | − | 0.340264i | ||||
\(679\) | 13187.9 | − | 8475.38i | 0.745371 | − | 0.479021i | ||||
\(680\) | 11959.3 | + | 13801.8i | 0.674439 | + | 0.778344i | ||||
\(681\) | 2117.96 | − | 621.888i | 0.119178 | − | 0.0349938i | ||||
\(682\) | 1786.33 | − | 12424.2i | 0.100296 | − | 0.697575i | ||||
\(683\) | −734.701 | + | 847.890i | −0.0411604 | + | 0.0475016i | −0.775956 | − | 0.630786i | \(-0.782732\pi\) |
0.734796 | + | 0.678288i | \(0.237278\pi\) | |||||||
\(684\) | 2131.77 | − | 4667.92i | 0.119167 | − | 0.260939i | ||||
\(685\) | −29449.0 | − | 8646.99i | −1.64261 | − | 0.482313i | ||||
\(686\) | 2468.65 | + | 5405.59i | 0.137396 | + | 0.300855i | ||||
\(687\) | −2839.13 | − | 19746.6i | −0.157671 | − | 1.09662i | ||||
\(688\) | −2984.60 | − | 1918.08i | −0.165388 | − | 0.106288i | ||||
\(689\) | −629.701 | −0.0348181 | ||||||||
\(690\) | −23290.7 | − | 3072.77i | −1.28502 | − | 0.169534i | ||||
\(691\) | −12871.7 | −0.708627 | −0.354313 | − | 0.935127i | \(-0.615285\pi\) | ||||
−0.354313 | + | 0.935127i | \(0.615285\pi\) | |||||||
\(692\) | −2878.93 | − | 1850.17i | −0.158151 | − | 0.101637i | ||||
\(693\) | 1151.62 | + | 8009.71i | 0.0631263 | + | 0.439053i | ||||
\(694\) | 15966.8 | + | 34962.4i | 0.873331 | + | 1.91233i | ||||
\(695\) | −8387.26 | − | 2462.72i | −0.457765 | − | 0.134412i | ||||
\(696\) | −3884.50 | + | 8505.87i | −0.211554 | + | 0.463239i | ||||
\(697\) | 19968.8 | − | 23045.2i | 1.08518 | − | 1.25237i | ||||
\(698\) | −4821.28 | + | 33532.7i | −0.261444 | + | 1.81839i | ||||
\(699\) | −9349.91 | + | 2745.38i | −0.505932 | + | 0.148555i | ||||
\(700\) | 3427.81 | + | 3955.90i | 0.185084 | + | 0.213599i | ||||
\(701\) | 304.561 | − | 195.730i | 0.0164096 | − | 0.0105458i | −0.532410 | − | 0.846486i | \(-0.678714\pi\) |
0.548820 | + | 0.835941i | \(0.315077\pi\) | |||||||
\(702\) | 3958.74 | − | 2544.13i | 0.212839 | − | 0.136783i | ||||
\(703\) | 3855.39 | + | 4449.35i | 0.206840 | + | 0.238706i | ||||
\(704\) | 40859.6 | − | 11997.5i | 2.18743 | − | 0.642288i | ||||
\(705\) | −3073.18 | + | 21374.4i | −0.164174 | + | 1.14185i | ||||
\(706\) | −8059.63 | + | 9301.31i | −0.429643 | + | 0.495835i | ||||
\(707\) | 7592.22 | − | 16624.6i | 0.403868 | − | 0.884348i | ||||
\(708\) | 30024.2 | + | 8815.90i | 1.59375 | + | 0.467968i | ||||
\(709\) | −13272.9 | − | 29063.7i | −0.703069 | − | 1.53951i | −0.836211 | − | 0.548409i | \(-0.815234\pi\) |
0.133142 | − | 0.991097i | \(-0.457493\pi\) | |||||||
\(710\) | 2882.28 | + | 20046.7i | 0.152352 | + | 1.05963i | ||||
\(711\) | −2764.88 | − | 1776.88i | −0.145838 | − | 0.0937247i | ||||
\(712\) | 2987.21 | 0.157234 | ||||||||
\(713\) | 5470.62 | − | 2575.63i | 0.287344 | − | 0.135285i | ||||
\(714\) | −59108.7 | −3.09816 | ||||||||
\(715\) | −3173.32 | − | 2039.37i | −0.165980 | − | 0.106669i | ||||
\(716\) | −501.425 | − | 3487.49i | −0.0261720 | − | 0.182030i | ||||
\(717\) | −6201.57 | − | 13579.5i | −0.323015 | − | 0.707305i | ||||
\(718\) | 5995.71 | + | 1760.50i | 0.311641 | + | 0.0915059i | ||||
\(719\) | 7932.74 | − | 17370.3i | 0.411462 | − | 0.900977i | −0.584516 | − | 0.811382i | \(-0.698716\pi\) |
0.995978 | − | 0.0895947i | \(-0.0285572\pi\) | |||||||
\(720\) | −814.439 | + | 939.912i | −0.0421560 | + | 0.0486506i | ||||
\(721\) | −5054.52 | + | 35155.0i | −0.261082 | + | 1.81587i | ||||
\(722\) | 4750.07 | − | 1394.75i | 0.244847 | − | 0.0718935i | ||||
\(723\) | 5905.90 | + | 6815.77i | 0.303794 | + | 0.350596i | ||||
\(724\) | 22321.6 | − | 14345.2i | 1.14582 | − | 0.736376i | ||||
\(725\) | 1712.71 | − | 1100.69i | 0.0877357 | − | 0.0563843i | ||||
\(726\) | −17804.9 | − | 20548.0i | −0.910196 | − | 1.05042i | ||||
\(727\) | 19281.2 | − | 5661.47i | 0.983632 | − | 0.288820i | 0.249909 | − | 0.968269i | \(-0.419599\pi\) |
0.733723 | + | 0.679449i | \(0.237781\pi\) | |||||||
\(728\) | 445.536 | − | 3098.77i | 0.0226822 | − | 0.157758i | ||||
\(729\) | −14341.1 | + | 16550.5i | −0.728604 | + | 0.840854i | ||||
\(730\) | 14677.7 | − | 32139.8i | 0.744175 | − | 1.62952i | ||||
\(731\) | 17584.0 | + | 5163.14i | 0.889697 | + | 0.261239i | ||||
\(732\) | −2423.46 | − | 5306.63i | −0.122368 | − | 0.267949i | ||||
\(733\) | −180.770 | − | 1257.28i | −0.00910898 | − | 0.0633544i | 0.984760 | − | 0.173919i | \(-0.0556431\pi\) |
−0.993869 | + | 0.110565i | \(0.964734\pi\) | |||||||
\(734\) | −24588.4 | − | 15802.0i | −1.23648 | − | 0.794635i | ||||
\(735\) | 18825.5 | 0.944748 | ||||||||
\(736\) | 18790.4 | + | 15903.3i | 0.941062 | + | 0.796470i | ||||
\(737\) | −2673.76 | −0.133635 | ||||||||
\(738\) | −6179.08 | − | 3971.05i | −0.308204 | − | 0.198071i | ||||
\(739\) | −3338.79 | − | 23221.8i | −0.166197 | − | 1.15592i | −0.886657 | − | 0.462428i | \(-0.846978\pi\) |
0.720460 | − | 0.693496i | \(-0.243931\pi\) | |||||||
\(740\) | 3934.54 | + | 8615.45i | 0.195455 | + | 0.427987i | ||||
\(741\) | −2351.31 | − | 690.407i | −0.116569 | − | 0.0342277i | ||||
\(742\) | 4485.43 | − | 9821.72i | 0.221921 | − | 0.485939i | ||||
\(743\) | 1357.29 | − | 1566.40i | 0.0670178 | − | 0.0773426i | −0.721251 | − | 0.692674i | \(-0.756432\pi\) |
0.788268 | + | 0.615332i | \(0.210978\pi\) | |||||||
\(744\) | 590.914 | − | 4109.90i | 0.0291182 | − | 0.202522i | ||||
\(745\) | −10109.2 | + | 2968.33i | −0.497144 | + | 0.145975i | ||||
\(746\) | −5257.25 | − | 6067.19i | −0.258018 | − | 0.297769i | ||||
\(747\) | 1843.17 | − | 1184.53i | 0.0902786 | − | 0.0580185i | ||||
\(748\) | −54148.2 | + | 34798.9i | −2.64686 | + | 1.70104i | ||||
\(749\) | 7746.63 | + | 8940.09i | 0.377911 | + | 0.436133i | ||||
\(750\) | 28914.1 | − | 8489.95i | 1.40773 | − | 0.413346i | ||||
\(751\) | −199.435 | + | 1387.10i | −0.00969042 | + | 0.0673983i | −0.994093 | − | 0.108533i | \(-0.965385\pi\) |
0.984402 | + | 0.175931i | \(0.0562937\pi\) | |||||||
\(752\) | 6082.86 | − | 7020.00i | 0.294972 | − | 0.340416i | ||||
\(753\) | −4987.12 | + | 10920.3i | −0.241356 | + | 0.528495i | ||||
\(754\) | −3691.26 | − | 1083.85i | −0.178286 | − | 0.0523496i | ||||
\(755\) | −1213.98 | − | 2658.24i | −0.0585180 | − | 0.128137i | ||||
\(756\) | 6821.15 | + | 47442.1i | 0.328152 | + | 2.28235i | ||||
\(757\) | −22329.2 | − | 14350.1i | −1.07208 | − | 0.688986i | −0.119368 | − | 0.992850i | \(-0.538087\pi\) |
−0.952715 | + | 0.303864i | \(0.901723\pi\) | |||||||
\(758\) | 24609.1 | 1.17921 | ||||||||
\(759\) | 7090.56 | − | 25229.7i | 0.339092 | − | 1.20656i | ||||
\(760\) | −12982.6 | −0.619642 | ||||||||
\(761\) | −7375.64 | − | 4740.04i | −0.351336 | − | 0.225790i | 0.353054 | − | 0.935603i | \(-0.385143\pi\) |
−0.704390 | + | 0.709813i | \(0.748779\pi\) | |||||||
\(762\) | 6701.49 | + | 46609.9i | 0.318595 | + | 2.21588i | ||||
\(763\) | −14359.3 | − | 31442.4i | −0.681311 | − | 1.49186i | ||||
\(764\) | −37912.1 | − | 11132.0i | −1.79530 | − | 0.527149i | ||||
\(765\) | 2668.76 | − | 5843.77i | 0.126130 | − | 0.276186i | ||||
\(766\) | −32089.5 | + | 37033.2i | −1.51363 | + | 1.74682i | ||||
\(767\) | −579.894 | + | 4033.25i | −0.0272995 | + | 0.189873i | ||||
\(768\) | 7678.89 | − | 2254.72i | 0.360792 | − | 0.105938i | ||||
\(769\) | 22558.0 | + | 26033.3i | 1.05782 | + | 1.22079i | 0.974529 | + | 0.224261i | \(0.0719968\pi\) |
0.0832883 | + | 0.996525i | \(0.473458\pi\) | |||||||
\(770\) | 54412.8 | − | 34969.0i | 2.54663 | − | 1.63662i | ||||
\(771\) | −17748.7 | + | 11406.4i | −0.829057 | + | 0.532803i | ||||
\(772\) | −39631.7 | − | 45737.4i | −1.84764 | − | 2.13229i | ||||
\(773\) | −13332.7 | + | 3914.83i | −0.620366 | + | 0.182156i | −0.576788 | − | 0.816894i | \(-0.695694\pi\) |
−0.0435785 | + | 0.999050i | \(0.513876\pi\) | |||||||
\(774\) | 628.232 | − | 4369.45i | 0.0291749 | − | 0.202916i | ||||
\(775\) | −592.007 | + | 683.212i | −0.0274394 | + | 0.0316667i | ||||
\(776\) | 3949.22 | − | 8647.59i | 0.182692 | − | 0.400039i | ||||
\(777\) | −9309.73 | − | 2733.58i | −0.429839 | − | 0.126212i | ||||
\(778\) | −14865.9 | − | 32551.8i | −0.685050 | − | 1.50005i | ||||
\(779\) | 3085.02 | + | 21456.8i | 0.141890 | + | 0.986866i | ||||
\(780\) | −3316.56 | − | 2131.43i | −0.152246 | − | 0.0978427i | ||||
\(781\) | −22593.1 | −1.03514 | ||||||||
\(782\) | −47731.5 | − | 21131.1i | −2.18271 | − | 0.966301i | ||||
\(783\) | 18642.2 | 0.850851 | ||||||||
\(784\) | −6812.32 | − | 4378.01i | −0.310328 | − | 0.199436i | ||||
\(785\) | 1545.55 | + | 10749.5i | 0.0702714 | + | 0.488748i | ||||
\(786\) | −1611.02 | − | 3527.64i | −0.0731083 | − | 0.160085i | ||||
\(787\) | −9171.32 | − | 2692.94i | −0.415403 | − | 0.121973i | 0.0673510 | − | 0.997729i | \(-0.478545\pi\) |
−0.482754 | + | 0.875756i | \(0.660363\pi\) | |||||||
\(788\) | −2969.30 | + | 6501.86i | −0.134235 | + | 0.293933i | ||||
\(789\) | −17987.3 | + | 20758.5i | −0.811617 | + | 0.936655i | ||||
\(790\) | −3738.64 | + | 26002.8i | −0.168373 | + | 1.17106i | ||||
\(791\) | −14139.7 | + | 4151.79i | −0.635587 | + | 0.186625i | ||||
\(792\) | 3213.57 | + | 3708.66i | 0.144179 | + | 0.166391i | ||||
\(793\) | 639.071 | − | 410.706i | 0.0286180 | − | 0.0183917i | ||||
\(794\) | 35541.6 | − | 22841.2i | 1.58857 | − | 1.02091i | ||||
\(795\) | −2818.30 | − | 3252.50i | −0.125729 | − | 0.145100i | ||||
\(796\) | 44097.7 | − | 12948.3i | 1.96357 | − | 0.576557i | ||||
\(797\) | −3128.71 | + | 21760.6i | −0.139052 | + | 0.967129i | 0.794136 | + | 0.607740i | \(0.207924\pi\) |
−0.933188 | + | 0.359389i | \(0.882985\pi\) | |||||||
\(798\) | 27517.2 | − | 31756.6i | 1.22068 | − | 1.40874i | ||||
\(799\) | −19932.4 | + | 43645.8i | −0.882549 | + | 1.93251i | ||||
\(800\) | −3531.35 | − | 1036.90i | −0.156065 | − | 0.0458248i | ||||
\(801\) | −436.534 | − | 955.876i | −0.0192561 | − | 0.0421651i | ||||
\(802\) | 6290.11 | + | 43748.7i | 0.276947 | + | 1.92621i | ||||
\(803\) | 33158.4 | + | 21309.6i | 1.45720 | + | 0.936487i | ||||
\(804\) | −2794.46 | −0.122578 | ||||||||
\(805\) | 28491.3 | + | 12613.3i | 1.24744 | + | 0.552250i | ||||
\(806\) | 1708.26 | 0.0746538 | ||||||||
\(807\) | −5868.31 | − | 3771.33i | −0.255978 | − | 0.164507i | ||||
\(808\) | −1577.31 | − | 10970.4i | −0.0686751 | − | 0.477646i | ||||
\(809\) | −182.555 | − | 399.740i | −0.00793362 | − | 0.0173722i | 0.905624 | − | 0.424082i | \(-0.139403\pi\) |
−0.913557 | + | 0.406710i | \(0.866676\pi\) | |||||||
\(810\) | 23928.8 | + | 7026.12i | 1.03799 | + | 0.304781i | ||||
\(811\) | 18744.0 | − | 41043.7i | 0.811580 | − | 1.77711i | 0.211114 | − | 0.977462i | \(-0.432291\pi\) |
0.600466 | − | 0.799650i | \(-0.294982\pi\) | |||||||
\(812\) | 25660.2 | − | 29613.4i | 1.10898 | − | 1.27984i | ||||
\(813\) | 1176.11 | − | 8180.02i | 0.0507355 | − | 0.352873i | ||||
\(814\) | −17066.9 | + | 5011.28i | −0.734881 | + | 0.215780i | ||||
\(815\) | 22652.9 | + | 26142.9i | 0.973617 | + | 1.12361i | ||||
\(816\) | 8525.44 | − | 5478.97i | 0.365748 | − | 0.235052i | ||||
\(817\) | −10959.9 | + | 7043.52i | −0.469326 | + | 0.301618i | ||||
\(818\) | 28739.2 | + | 33166.8i | 1.22841 | + | 1.41767i | ||||
\(819\) | −1056.68 | + | 310.270i | −0.0450837 | + | 0.0132378i | ||||
\(820\) | −4963.08 | + | 34518.9i | −0.211364 | + | 1.47007i | ||||
\(821\) | 29559.1 | − | 34113.1i | 1.25654 | − | 1.45013i | 0.415102 | − | 0.909775i | \(-0.363746\pi\) |
0.841439 | − | 0.540352i | \(-0.181709\pi\) | |||||||
\(822\) | 25025.6 | − | 54798.4i | 1.06188 | − | 2.32520i | ||||
\(823\) | 18304.7 | + | 5374.74i | 0.775287 | + | 0.227645i | 0.645360 | − | 0.763879i | \(-0.276707\pi\) |
0.129927 | + | 0.991524i | \(0.458526\pi\) | |||||||
\(824\) | 8947.29 | + | 19591.8i | 0.378269 | + | 0.828294i | ||||
\(825\) | 557.615 | + | 3878.30i | 0.0235317 | + | 0.163667i | ||||
\(826\) | −58777.7 | − | 37774.1i | −2.47595 | − | 1.59120i | ||||
\(827\) | 28498.9 | 1.19831 | 0.599157 | − | 0.800632i | \(-0.295503\pi\) | ||||
0.599157 | + | 0.800632i | \(0.295503\pi\) | |||||||
\(828\) | −2020.76 | + | 7190.26i | −0.0848141 | + | 0.301786i | ||||
\(829\) | −42120.5 | −1.76466 | −0.882332 | − | 0.470628i | \(-0.844027\pi\) | ||||
−0.882332 | + | 0.470628i | \(0.844027\pi\) | |||||||
\(830\) | −14732.6 | − | 9468.09i | −0.616117 | − | 0.395954i | ||||
\(831\) | 5242.47 | + | 36462.2i | 0.218844 | + | 1.52209i | ||||
\(832\) | 2407.56 | + | 5271.83i | 0.100321 | + | 0.219673i | ||||
\(833\) | 40135.4 | + | 11784.8i | 1.66940 | + | 0.490180i | ||||
\(834\) | 7127.45 | − | 15606.9i | 0.295928 | − | 0.647991i | ||||
\(835\) | 7530.20 | − | 8690.32i | 0.312088 | − | 0.360169i | ||||
\(836\) | 6511.96 | − | 45291.7i | 0.269403 | − | 1.87374i | ||||
\(837\) | −7942.54 | + | 2332.14i | −0.327998 | + | 0.0963089i | ||||
\(838\) | −12116.0 | − | 13982.6i | −0.499451 | − | 0.576397i | ||||
\(839\) | 10121.5 | − | 6504.72i | 0.416489 | − | 0.267661i | −0.315570 | − | 0.948902i | \(-0.602196\pi\) |
0.732059 | + | 0.681241i | \(0.238559\pi\) | |||||||
\(840\) | 17999.7 | − | 11567.7i | 0.739342 | − | 0.475146i | ||||
\(841\) | 5990.99 | + | 6913.97i | 0.245643 | + | 0.283487i | ||||
\(842\) | −30562.9 | + | 8974.08i | −1.25091 | + | 0.367301i | ||||
\(843\) | 3147.95 | − | 21894.5i | 0.128614 | − | 0.894527i | ||||
\(844\) | −38920.7 | + | 44916.9i | −1.58733 | + | 1.83188i | ||||
\(845\) | −9293.76 | + | 20350.5i | −0.378361 | + | 0.828495i | ||||
\(846\) | 11089.5 | + | 3256.17i | 0.450668 | + | 0.132328i | ||||
\(847\) | 14980.2 | + | 32802.2i | 0.607707 | + | 1.33069i | ||||
\(848\) | 263.457 | + | 1832.39i | 0.0106688 | + | 0.0742033i | ||||
\(849\) | −6594.00 | − | 4237.70i | −0.266555 | − | 0.171305i | ||||
\(850\) | 7804.31 | 0.314924 | ||||||||
\(851\) | −6540.56 | − | 5535.62i | −0.263464 | − | 0.222983i | ||||
\(852\) | −23612.9 | −0.949491 | ||||||||
\(853\) | 34832.8 | + | 22385.7i | 1.39819 | + | 0.898560i | 0.999826 | − | 0.0186689i | \(-0.00594285\pi\) |
0.398361 | + | 0.917229i | \(0.369579\pi\) | |||||||
\(854\) | 1853.79 | + | 12893.4i | 0.0742802 | + | 0.516630i | ||||
\(855\) | 1897.20 | + | 4154.30i | 0.0758865 | + | 0.166168i | ||||
\(856\) | 6883.12 | + | 2021.07i | 0.274837 | + | 0.0806993i | ||||
\(857\) | −8708.34 | + | 19068.6i | −0.347108 | + | 0.760060i | 0.652889 | + | 0.757454i | \(0.273557\pi\) |
−0.999997 | + | 0.00260598i | \(0.999170\pi\) | |||||||
\(858\) | 4848.53 | − | 5595.50i | 0.192921 | − | 0.222642i | ||||
\(859\) | 4856.52 | − | 33777.9i | 0.192902 | − | 1.34166i | −0.631377 | − | 0.775476i | \(-0.717510\pi\) |
0.824279 | − | 0.566184i | \(-0.191581\pi\) | |||||||
\(860\) | −20110.2 | + | 5904.88i | −0.797385 | + | 0.234133i | ||||
\(861\) | −23395.5 | − | 26999.9i | −0.926037 | − | 1.06870i | ||||
\(862\) | −16927.1 | + | 10878.4i | −0.668839 | + | 0.429837i | ||||
\(863\) | −22913.6 | + | 14725.7i | −0.903810 | + | 0.580844i | −0.907918 | − | 0.419148i | \(-0.862329\pi\) |
0.00410773 | + | 0.999992i | \(0.498692\pi\) | |||||||
\(864\) | −22069.2 | − | 25469.2i | −0.868993 | − | 1.00287i | ||||
\(865\) | 2922.26 | − | 858.053i | 0.114867 | − | 0.0337280i | ||||
\(866\) | −9158.99 | + | 63702.2i | −0.359394 | + | 2.49964i | ||||
\(867\) | −19462.3 | + | 22460.7i | −0.762370 | + | 0.879822i | ||||
\(868\) | −7227.93 | + | 15826.9i | −0.282640 | + | 0.618896i | ||||
\(869\) | −28118.7 | − | 8256.39i | −1.09765 | − | 0.322300i | ||||
\(870\) | −10922.4 | − | 23916.8i | −0.425639 | − | 0.932019i | ||||
\(871\) | −51.7865 | − | 360.183i | −0.00201460 | − | 0.0140119i | ||||
\(872\) | −17634.2 | − | 11332.8i | −0.684828 | − | 0.440112i | ||||
\(873\) | −3344.26 | −0.129652 | ||||||||
\(874\) | 33573.6 | − | 15806.8i | 1.29936 | − | 0.611755i | ||||
\(875\) | −39968.2 | −1.54420 | ||||||||
\(876\) | 34655.1 | + | 22271.5i | 1.33663 | + | 0.859001i | ||||
\(877\) | −5823.93 | − | 40506.3i | −0.224242 | − | 1.55964i | −0.721736 | − | 0.692169i | \(-0.756655\pi\) |
0.497494 | − | 0.867468i | \(-0.334254\pi\) | |||||||
\(878\) | −1650.69 | − | 3614.52i | −0.0634490 | − | 0.138934i | ||||
\(879\) | 9747.33 | + | 2862.07i | 0.374026 | + | 0.109824i | ||||
\(880\) | −4606.76 | + | 10087.4i | −0.176470 | + | 0.386416i | ||||
\(881\) | 23366.7 | − | 26966.6i | 0.893579 | − | 1.03124i | −0.105742 | − | 0.994394i | \(-0.533722\pi\) |
0.999321 | − | 0.0368510i | \(-0.0117327\pi\) | |||||||
\(882\) | 1433.94 | − | 9973.24i | 0.0547428 | − | 0.380744i | ||||
\(883\) | 19009.1 | − | 5581.57i | 0.724470 | − | 0.212724i | 0.101351 | − | 0.994851i | \(-0.467683\pi\) |
0.623119 | + | 0.782127i | \(0.285865\pi\) | |||||||
\(884\) | −5736.53 | − | 6620.31i | −0.218258 | − | 0.251884i | ||||
\(885\) | −23427.7 | + | 15056.1i | −0.889847 | + | 0.571870i | ||||
\(886\) | 36717.2 | − | 23596.7i | 1.39226 | − | 0.894749i | ||||
\(887\) | −14436.5 | − | 16660.6i | −0.546482 | − | 0.630673i | 0.413578 | − | 0.910469i | \(-0.364279\pi\) |
−0.960060 | + | 0.279795i | \(0.909733\pi\) | |||||||
\(888\) | −5645.68 | + | 1657.72i | −0.213352 | + | 0.0626459i | ||||
\(889\) | 8888.27 | − | 61819.3i | 0.335324 | − | 2.33223i | ||||
\(890\) | −5500.46 | + | 6347.87i | −0.207164 | + | 0.239080i | ||||
\(891\) | −11557.1 | + | 25306.6i | −0.434544 | + | 0.951518i | ||||
\(892\) | −10477.0 | − | 3076.34i | −0.393271 | − | 0.115475i | ||||
\(893\) | −14169.8 | − | 31027.5i | −0.530990 | − | 1.16271i | ||||
\(894\) | −2943.06 | − | 20469.4i | −0.110101 | − | 0.765772i | ||||
\(895\) | 2637.89 | + | 1695.27i | 0.0985195 | + | 0.0633146i | ||||
\(896\) | −50960.9 | −1.90009 | ||||||||
\(897\) | 3536.03 | + | 466.512i | 0.131621 | + | 0.0173650i | ||||
\(898\) | 63987.7 | 2.37784 | ||||||||
\(899\) | 5693.08 | + | 3658.72i | 0.211207 | + | 0.135734i | ||||
\(900\) | −158.916 | − | 1105.29i | −0.00588578 | − | 0.0409365i | ||||
\(901\) | −3972.47 | − | 8698.49i | −0.146884 | − | 0.321630i | ||||
\(902\) | −62840.8 | − | 18451.7i | −2.31970 | − | 0.681126i | ||||
\(903\) | 8919.48 | − | 19530.9i | 0.328706 | − | 0.719766i | ||||
\(904\) | −5852.30 | + | 6753.91i | −0.215315 | + | 0.248486i | ||||
\(905\) | −3360.64 | + | 23373.8i | −0.123438 | + | 0.858531i | ||||
\(906\) | 5503.56 | − | 1615.99i | 0.201814 | − | 0.0592579i | ||||
\(907\) | 13770.3 | + | 15891.7i | 0.504117 | + | 0.581782i | 0.949583 | − | 0.313517i | \(-0.101507\pi\) |
−0.445466 | + | 0.895299i | \(0.646962\pi\) | |||||||
\(908\) | −4718.88 | + | 3032.64i | −0.172469 | + | 0.110839i | ||||
\(909\) | −3279.92 | + | 2107.88i | −0.119679 | + | 0.0769130i | ||||
\(910\) | 5764.57 | + | 6652.66i | 0.209993 | + | 0.242345i | ||||
\(911\) | −35031.9 | + | 10286.3i | −1.27405 | + | 0.374095i | −0.847706 | − | 0.530466i | \(-0.822017\pi\) |
−0.426344 | + | 0.904561i | \(0.640199\pi\) | |||||||
\(912\) | −1025.29 | + | 7131.02i | −0.0372265 | + | 0.258916i | ||||
\(913\) | 12793.6 | − | 14764.6i | 0.463752 | − | 0.535198i | ||||
\(914\) | 10347.2 | − | 22657.2i | 0.374459 | − | 0.819950i | ||||
\(915\) | 4981.60 | + | 1462.73i | 0.179985 | + | 0.0528484i | ||||
\(916\) | 21059.8 | + | 46114.6i | 0.759646 | + | 1.66339i | ||||
\(917\) | 732.006 | + | 5091.22i | 0.0263609 | + | 0.183344i | ||||
\(918\) | 60117.5 | + | 38635.2i | 2.16141 | + | 1.38905i | ||||
\(919\) | −52261.2 | −1.87589 | −0.937943 | − | 0.346789i | \(-0.887272\pi\) | ||||
−0.937943 | + | 0.346789i | \(0.887272\pi\) | |||||||
\(920\) | 18670.5 | − | 2906.35i | 0.669075 | − | 0.104152i | ||||
\(921\) | 28887.6 | 1.03353 | ||||||||
\(922\) | −22301.1 | − | 14332.1i | −0.796581 | − | 0.511932i | ||||
\(923\) | −437.592 | − | 3043.52i | −0.0156051 | − | 0.108536i | ||||
\(924\) | 31327.1 | + | 68596.8i | 1.11535 | + | 2.44228i | ||||
\(925\) | 1229.19 | + | 360.924i | 0.0436926 | + | 0.0128293i | ||||
\(926\) | −30047.3 | + | 65794.3i | −1.06632 | + | 2.33492i | ||||
\(927\) | 4961.68 | − | 5726.09i | 0.175796 | − | 0.202880i | ||||
\(928\) | −3920.95 | + | 27270.8i | −0.138698 | + | 0.964664i | ||||
\(929\) | 23691.4 | − | 6956.43i | 0.836695 | − | 0.245676i | 0.164805 | − | 0.986326i | \(-0.447301\pi\) |
0.671891 | + | 0.740650i | \(0.265482\pi\) | |||||||
\(930\) | 7645.54 | + | 8823.42i | 0.269577 | + | 0.311109i | ||||
\(931\) | −25016.0 | + | 16076.8i | −0.880629 | + | 0.565946i | ||||
\(932\) | 20831.9 | − | 13387.9i | 0.732159 | − | 0.470530i | ||||
\(933\) | −1346.32 | − | 1553.74i | −0.0472417 | − | 0.0545199i | ||||
\(934\) | 68619.2 | − | 20148.4i | 2.40395 | − | 0.705863i | ||||
\(935\) | 8152.32 | − | 56700.6i | 0.285144 | − | 1.98322i | ||||
\(936\) | −437.353 | + | 504.732i | −0.0152728 | + | 0.0176257i | ||||
\(937\) | −15831.3 | + | 34665.8i | −0.551960 | + | 1.20862i | 0.403900 | + | 0.914803i | \(0.367654\pi\) |
−0.955860 | + | 0.293821i | \(0.905073\pi\) | |||||||
\(938\) | 5986.81 | + | 1757.89i | 0.208397 | + | 0.0611908i | ||||
\(939\) | 1076.56 | + | 2357.34i | 0.0374145 | + | 0.0819264i | ||||
\(940\) | −7809.52 | − | 54316.4i | −0.270977 | − | 1.88469i | ||||
\(941\) | 38479.8 | + | 24729.5i | 1.33306 | + | 0.856703i | 0.996388 | − | 0.0849207i | \(-0.0270637\pi\) |
0.336668 | + | 0.941623i | \(0.390700\pi\) | |||||||
\(942\) | −21316.1 | −0.737277 | ||||||||
\(943\) | −9240.05 | − | 30166.8i | −0.319085 | − | 1.04175i | ||||
\(944\) | 11979.1 | 0.413016 | ||||||||
\(945\) | −35884.6 | − | 23061.6i | −1.23527 | − | 0.793857i | ||||
\(946\) | −5601.75 | − | 38961.0i | −0.192525 | − | 1.33904i | ||||
\(947\) | −4271.30 | − | 9352.85i | −0.146567 | − | 0.320936i | 0.822083 | − | 0.569368i | \(-0.192812\pi\) |
−0.968649 | + | 0.248432i | \(0.920085\pi\) | |||||||
\(948\) | −29388.0 | − | 8629.08i | −1.00683 | − | 0.295632i | ||||
\(949\) | −2228.39 | + | 4879.50i | −0.0762242 | + | 0.166908i | ||||
\(950\) | −3633.19 | + | 4192.92i | −0.124080 | + | 0.143196i | ||||
\(951\) | 4900.91 | − | 34086.6i | 0.167111 | − | 1.16229i | ||||
\(952\) | 45616.2 | − | 13394.1i | 1.55297 | − | 0.455993i | ||||
\(953\) | −26777.4 | − | 30902.8i | −0.910183 | − | 1.05041i | −0.998524 | − | 0.0543173i | \(-0.982702\pi\) |
0.0883403 | − | 0.996090i | \(-0.471844\pi\) | |||||||
\(954\) | −1937.75 | + | 1245.32i | −0.0657621 | + | 0.0422628i | ||||
\(955\) | 29582.6 | − | 19011.6i | 1.00238 | − | 0.644190i | ||||
\(956\) | 24843.1 | + | 28670.4i | 0.840463 | + | 0.969946i | ||||
\(957\) | 28142.9 | − | 8263.50i | 0.950607 | − | 0.279123i | ||||
\(958\) | −2694.77 | + | 18742.5i | −0.0908810 | + | 0.632091i | ||||
\(959\) | −52323.5 | + | 60384.6i | −1.76185 | + | 2.03328i | ||||
\(960\) | −16454.4 | + | 36030.1i | −0.553191 | + | 1.21132i | ||||
\(961\) | 25701.0 | + | 7546.49i | 0.862710 | + | 0.253315i | ||||
\(962\) | −1005.63 | − | 2202.02i | −0.0337035 | − | 0.0738003i | ||||
\(963\) | −359.140 | − | 2497.87i | −0.0120178 | − | 0.0835855i | ||||
\(964\) | −19279.7 | − | 12390.3i | −0.644147 | − | 0.413968i | ||||
\(965\) | 53860.2 | 1.79670 | ||||||||
\(966\) | −32463.9 | + | 51829.9i | −1.08127 | + | 1.72629i | ||||
\(967\) | 41348.7 | 1.37506 | 0.687531 | − | 0.726155i | \(-0.258694\pi\) | ||||
0.687531 | + | 0.726155i | \(0.258694\pi\) | |||||||
\(968\) | 18396.8 | + | 11822.9i | 0.610844 | + | 0.392565i | ||||
\(969\) | −5296.18 | − | 36835.7i | −0.175581 | − | 1.22119i | ||||
\(970\) | 11104.4 | + | 24315.3i | 0.367569 | + | 0.804864i | ||||
\(971\) | 29251.7 | + | 8589.08i | 0.966769 | + | 0.283869i | 0.726752 | − | 0.686900i | \(-0.241029\pi\) |
0.240017 | + | 0.970769i | \(0.422847\pi\) | |||||||
\(972\) | 7745.63 | − | 16960.6i | 0.255598 | − | 0.559681i | ||||
\(973\) | −14902.1 | + | 17197.9i | −0.490996 | + | 0.566640i | ||||
\(974\) | −2085.12 | + | 14502.3i | −0.0685951 | + | 0.477090i | ||||
\(975\) | −511.646 | + | 150.233i | −0.0168059 | + | 0.00493467i | ||||
\(976\) | −1462.50 | − | 1687.82i | −0.0479648 | − | 0.0553543i | ||||
\(977\) | −39776.3 | + | 25562.7i | −1.30251 | + | 0.837075i | −0.993483 | − | 0.113977i | \(-0.963641\pi\) |
−0.309030 | + | 0.951052i | \(0.600005\pi\) | |||||||
\(978\) | −57118.5 | + | 36707.8i | −1.86753 | + | 1.20019i | ||||
\(979\) | −6136.04 | − | 7081.37i | −0.200315 | − | 0.231176i | ||||
\(980\) | −45901.3 | + | 13477.8i | −1.49619 | + | 0.439320i | ||||
\(981\) | −1049.42 | + | 7298.89i | −0.0341544 | + | 0.237549i | ||||
\(982\) | 49665.4 | − | 57316.9i | 1.61394 | − | 1.86258i | ||||
\(983\) | 17732.2 | − | 38828.1i | 0.575351 | − | 1.25984i | −0.368548 | − | 0.929609i | \(-0.620145\pi\) |
0.943899 | − | 0.330234i | \(-0.107128\pi\) | |||||||
\(984\) | −20787.6 | − | 6103.80i | −0.673461 | − | 0.197746i | ||||
\(985\) | −2642.58 | − | 5786.44i | −0.0854818 | − | 0.187179i | ||||
\(986\) | −8314.33 | − | 57827.4i | −0.268542 | − | 1.86775i | ||||
\(987\) | 47291.7 | + | 30392.5i | 1.52514 | + | 0.980146i | ||||
\(988\) | 6227.38 | 0.200526 | ||||||||
\(989\) | 14184.9 | − | 12583.0i | 0.456070 | − | 0.404566i | ||||
\(990\) | −13798.3 | −0.442967 | ||||||||
\(991\) | −43650.2 | − | 28052.3i | −1.39919 | − | 0.899203i | −0.399342 | − | 0.916802i | \(-0.630761\pi\) |
−0.999845 | + | 0.0175989i | \(0.994398\pi\) | |||||||
\(992\) | −1741.05 | − | 12109.3i | −0.0557243 | − | 0.387571i | ||||
\(993\) | −1708.02 | − | 3740.04i | −0.0545845 | − | 0.119523i | ||||
\(994\) | 50588.1 | + | 14854.0i | 1.61424 | + | 0.473984i | ||||
\(995\) | −16991.4 | + | 37206.1i | −0.541372 | + | 1.18544i | ||||
\(996\) | 13371.1 | − | 15431.0i | 0.425380 | − | 0.490915i | ||||
\(997\) | 222.067 | − | 1544.51i | 0.00705410 | − | 0.0490623i | −0.985990 | − | 0.166802i | \(-0.946656\pi\) |
0.993044 | + | 0.117740i | \(0.0375649\pi\) | |||||||
\(998\) | −49454.8 | + | 14521.3i | −1.56860 | + | 0.460583i | ||||
\(999\) | 7681.87 | + | 8865.35i | 0.243287 | + | 0.280768i |
(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 | 23.4.c.a.2.5 | ✓ | 50 | |
3.2 | odd | 2 | 207.4.i.a.163.1 | 50 | |||
23.9 | even | 11 | 529.4.a.n.1.23 | 25 | |||
23.12 | even | 11 | inner | 23.4.c.a.12.5 | yes | 50 | |
23.14 | odd | 22 | 529.4.a.m.1.23 | 25 | |||
69.35 | odd | 22 | 207.4.i.a.127.1 | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.4.c.a.2.5 | ✓ | 50 | 1.1 | even | 1 | trivial | |
23.4.c.a.12.5 | yes | 50 | 23.12 | even | 11 | inner | |
207.4.i.a.127.1 | 50 | 69.35 | odd | 22 | |||
207.4.i.a.163.1 | 50 | 3.2 | odd | 2 | |||
529.4.a.m.1.23 | 25 | 23.14 | odd | 22 | |||
529.4.a.n.1.23 | 25 | 23.9 | even | 11 |