Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,4,Mod(31,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.31");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.g (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: | \(13.5704393013\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 81.3 | ||
Character | \(\chi\) | \(=\) | 230.81 |
Dual form | 230.4.g.b.71.3 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.68251 | + | 1.08128i | −0.594856 | + | 0.382291i | ||||
\(3\) | −0.259790 | + | 1.80688i | −0.0499966 | + | 0.347734i | 0.949433 | + | 0.313969i | \(0.101659\pi\) |
−0.999430 | + | 0.0337649i | \(0.989250\pi\) | |||||||
\(4\) | 1.66166 | − | 3.63853i | 0.207708 | − | 0.454816i | ||||
\(5\) | −4.79746 | + | 1.40866i | −0.429098 | + | 0.125995i | ||||
\(6\) | −1.51665 | − | 3.32099i | −0.103195 | − | 0.225965i | ||||
\(7\) | −3.50130 | − | 4.04072i | −0.189052 | − | 0.218178i | 0.653309 | − | 0.757092i | \(-0.273380\pi\) |
−0.842361 | + | 0.538914i | \(0.818835\pi\) | |||||||
\(8\) | 1.13852 | + | 7.91857i | 0.0503159 | + | 0.349955i | ||||
\(9\) | 22.7090 | + | 6.66796i | 0.841074 | + | 0.246962i | ||||
\(10\) | 6.54861 | − | 7.55750i | 0.207085 | − | 0.238989i | ||||
\(11\) | −20.4137 | − | 13.1191i | −0.559541 | − | 0.359595i | 0.230097 | − | 0.973168i | \(-0.426095\pi\) |
−0.789638 | + | 0.613572i | \(0.789732\pi\) | |||||||
\(12\) | 6.14270 | + | 3.94767i | 0.147770 | + | 0.0949662i | ||||
\(13\) | −42.9889 | + | 49.6119i | −0.917153 | + | 1.05845i | 0.0809401 | + | 0.996719i | \(0.474208\pi\) |
−0.998093 | + | 0.0617317i | \(0.980338\pi\) | |||||||
\(14\) | 10.2601 | + | 3.01264i | 0.195867 | + | 0.0575116i | ||||
\(15\) | −1.29895 | − | 9.03439i | −0.0223592 | − | 0.155511i | ||||
\(16\) | −10.4778 | − | 12.0920i | −0.163715 | − | 0.188937i | ||||
\(17\) | −34.5899 | − | 75.7413i | −0.493487 | − | 1.08059i | −0.978532 | − | 0.206096i | \(-0.933924\pi\) |
0.485045 | − | 0.874489i | \(-0.338803\pi\) | |||||||
\(18\) | −45.4180 | + | 13.3359i | −0.594729 | + | 0.174628i | ||||
\(19\) | 30.0343 | − | 65.7660i | 0.362650 | − | 0.794093i | −0.637079 | − | 0.770799i | \(-0.719857\pi\) |
0.999729 | − | 0.0232940i | \(-0.00741537\pi\) | |||||||
\(20\) | −2.84630 | + | 19.7964i | −0.0318226 | + | 0.221331i | ||||
\(21\) | 8.21069 | − | 5.27669i | 0.0853200 | − | 0.0548318i | ||||
\(22\) | 48.5315 | 0.470316 | ||||||||
\(23\) | 47.3096 | − | 99.6434i | 0.428901 | − | 0.903351i | ||||
\(24\) | −14.6037 | −0.124207 | ||||||||
\(25\) | 21.0313 | − | 13.5160i | 0.168251 | − | 0.108128i | ||||
\(26\) | 18.6848 | − | 129.955i | 0.140938 | − | 0.980245i | ||||
\(27\) | −38.4225 | + | 84.1335i | −0.273867 | + | 0.599685i | ||||
\(28\) | −20.5202 | + | 6.02528i | −0.138499 | + | 0.0406668i | ||||
\(29\) | 2.18701 | + | 4.78889i | 0.0140041 | + | 0.0306646i | 0.916505 | − | 0.400024i | \(-0.130998\pi\) |
−0.902501 | + | 0.430688i | \(0.858271\pi\) | |||||||
\(30\) | 11.9542 | + | 13.7959i | 0.0727510 | + | 0.0839592i | ||||
\(31\) | −11.1970 | − | 77.8766i | −0.0648721 | − | 0.451195i | −0.996206 | − | 0.0870284i | \(-0.972263\pi\) |
0.931334 | − | 0.364167i | \(-0.118646\pi\) | |||||||
\(32\) | 30.7038 | + | 9.01544i | 0.169616 | + | 0.0498038i | ||||
\(33\) | 29.0078 | − | 33.4768i | 0.153019 | − | 0.176593i | ||||
\(34\) | 140.095 | + | 90.0338i | 0.706652 | + | 0.454137i | ||||
\(35\) | 22.4894 | + | 14.4530i | 0.108611 | + | 0.0698003i | ||||
\(36\) | 61.9962 | − | 71.5474i | 0.287019 | − | 0.331238i | ||||
\(37\) | −280.098 | − | 82.2443i | −1.24454 | − | 0.365429i | −0.407819 | − | 0.913063i | \(-0.633711\pi\) |
−0.836718 | + | 0.547633i | \(0.815529\pi\) | |||||||
\(38\) | 20.5786 | + | 143.127i | 0.0878498 | + | 0.611009i | ||||
\(39\) | −78.4745 | − | 90.5645i | −0.322205 | − | 0.371844i | ||||
\(40\) | −16.6166 | − | 36.3853i | −0.0656829 | − | 0.143825i | ||||
\(41\) | 394.291 | − | 115.774i | 1.50190 | − | 0.440998i | 0.575584 | − | 0.817742i | \(-0.304775\pi\) |
0.926317 | + | 0.376744i | \(0.122956\pi\) | |||||||
\(42\) | −8.10895 | + | 17.7561i | −0.0297914 | + | 0.0652341i | ||||
\(43\) | 62.0217 | − | 431.370i | 0.219958 | − | 1.52984i | −0.518225 | − | 0.855245i | \(-0.673407\pi\) |
0.738183 | − | 0.674600i | \(-0.235684\pi\) | |||||||
\(44\) | −81.6546 | + | 52.4763i | −0.279770 | + | 0.179798i | ||||
\(45\) | −118.338 | −0.392019 | ||||||||
\(46\) | 28.1438 | + | 218.806i | 0.0902083 | + | 0.701329i | ||||
\(47\) | 548.118 | 1.70109 | 0.850545 | − | 0.525902i | \(-0.176272\pi\) | ||||
0.850545 | + | 0.525902i | \(0.176272\pi\) | |||||||
\(48\) | 24.5708 | − | 15.7907i | 0.0738852 | − | 0.0474831i | ||||
\(49\) | 44.7457 | − | 311.213i | 0.130454 | − | 0.907327i | ||||
\(50\) | −20.7708 | + | 45.4816i | −0.0587486 | + | 0.128641i | ||||
\(51\) | 145.841 | − | 42.8229i | 0.400429 | − | 0.117577i | ||||
\(52\) | 109.081 | + | 238.855i | 0.290901 | + | 0.636984i | ||||
\(53\) | −198.782 | − | 229.407i | −0.515186 | − | 0.594556i | 0.437233 | − | 0.899348i | \(-0.355958\pi\) |
−0.952419 | + | 0.304792i | \(0.901413\pi\) | |||||||
\(54\) | −26.3259 | − | 183.101i | −0.0663427 | − | 0.461423i | ||||
\(55\) | 116.414 | + | 34.1823i | 0.285405 | + | 0.0838025i | ||||
\(56\) | 28.0104 | − | 32.3257i | 0.0668401 | − | 0.0771376i | ||||
\(57\) | 111.029 | + | 71.3538i | 0.258002 | + | 0.165808i | ||||
\(58\) | −8.85780 | − | 5.69256i | −0.0200532 | − | 0.0128874i | ||||
\(59\) | 190.609 | − | 219.975i | 0.420597 | − | 0.485394i | −0.505422 | − | 0.862872i | \(-0.668663\pi\) |
0.926019 | + | 0.377478i | \(0.123209\pi\) | |||||||
\(60\) | −35.0303 | − | 10.2858i | −0.0753732 | − | 0.0221316i | ||||
\(61\) | −117.619 | − | 818.061i | −0.246879 | − | 1.71708i | −0.616038 | − | 0.787716i | \(-0.711263\pi\) |
0.369159 | − | 0.929366i | \(-0.379646\pi\) | |||||||
\(62\) | 103.045 | + | 118.921i | 0.211077 | + | 0.243596i | ||||
\(63\) | −52.5677 | − | 115.107i | −0.105125 | − | 0.230193i | ||||
\(64\) | −61.4076 | + | 18.0309i | −0.119937 | + | 0.0352166i | ||||
\(65\) | 136.351 | − | 298.568i | 0.260190 | − | 0.569736i | ||||
\(66\) | −12.6080 | + | 87.6906i | −0.0235142 | + | 0.163545i | ||||
\(67\) | −742.504 | + | 477.179i | −1.35390 | + | 0.870099i | −0.997924 | − | 0.0643961i | \(-0.979488\pi\) |
−0.355976 | + | 0.934495i | \(0.615852\pi\) | |||||||
\(68\) | −333.063 | −0.593969 | ||||||||
\(69\) | 167.753 | + | 111.369i | 0.292682 | + | 0.194308i | ||||
\(70\) | −53.4663 | −0.0912922 | ||||||||
\(71\) | −299.418 | + | 192.424i | −0.500483 | + | 0.321641i | −0.766410 | − | 0.642352i | \(-0.777959\pi\) |
0.265926 | + | 0.963993i | \(0.414322\pi\) | |||||||
\(72\) | −26.9461 | + | 187.414i | −0.0441060 | + | 0.306764i | ||||
\(73\) | −377.642 | + | 826.921i | −0.605475 | + | 1.32581i | 0.320151 | + | 0.947367i | \(0.396266\pi\) |
−0.925626 | + | 0.378439i | \(0.876461\pi\) | |||||||
\(74\) | 560.197 | − | 164.489i | 0.880021 | − | 0.258397i | ||||
\(75\) | 18.9581 | + | 41.5124i | 0.0291879 | + | 0.0639125i | ||||
\(76\) | −189.385 | − | 218.562i | −0.285841 | − | 0.329878i | ||||
\(77\) | 18.4640 | + | 128.420i | 0.0273268 | + | 0.190062i | ||||
\(78\) | 229.960 | + | 67.5223i | 0.333818 | + | 0.0980178i | ||||
\(79\) | −353.150 | + | 407.557i | −0.502943 | + | 0.580428i | −0.949278 | − | 0.314439i | \(-0.898184\pi\) |
0.446334 | + | 0.894866i | \(0.352729\pi\) | |||||||
\(80\) | 67.3003 | + | 43.2513i | 0.0940550 | + | 0.0604455i | ||||
\(81\) | 395.547 | + | 254.203i | 0.542589 | + | 0.348701i | ||||
\(82\) | −538.213 | + | 621.131i | −0.724826 | + | 0.836494i | ||||
\(83\) | −150.181 | − | 44.0971i | −0.198608 | − | 0.0583167i | 0.180915 | − | 0.983499i | \(-0.442094\pi\) |
−0.379524 | + | 0.925182i | \(0.623912\pi\) | |||||||
\(84\) | −5.55601 | − | 38.6429i | −0.00721679 | − | 0.0501939i | ||||
\(85\) | 272.638 | + | 314.641i | 0.347902 | + | 0.401501i | ||||
\(86\) | 362.081 | + | 792.846i | 0.454002 | + | 0.994126i | ||||
\(87\) | −9.22111 | + | 2.70756i | −0.0113633 | + | 0.00333656i | ||||
\(88\) | 80.6429 | − | 176.583i | 0.0976882 | − | 0.213907i | ||||
\(89\) | 84.3682 | − | 586.794i | 0.100483 | − | 0.698876i | −0.875847 | − | 0.482590i | \(-0.839696\pi\) |
0.976330 | − | 0.216287i | \(-0.0693946\pi\) | |||||||
\(90\) | 199.105 | − | 127.957i | 0.233195 | − | 0.149865i | ||||
\(91\) | 350.985 | 0.404321 | ||||||||
\(92\) | −283.943 | − | 337.711i | −0.321773 | − | 0.382704i | ||||
\(93\) | 143.622 | 0.160139 | ||||||||
\(94\) | −922.212 | + | 592.670i | −1.01190 | + | 0.650311i | ||||
\(95\) | −51.4465 | + | 357.818i | −0.0555611 | + | 0.386436i | ||||
\(96\) | −24.2663 | + | 53.1359i | −0.0257987 | + | 0.0564912i | ||||
\(97\) | −978.602 | + | 287.344i | −1.02435 | + | 0.300776i | −0.750412 | − | 0.660971i | \(-0.770145\pi\) |
−0.273939 | + | 0.961747i | \(0.588327\pi\) | |||||||
\(98\) | 261.224 | + | 572.001i | 0.269261 | + | 0.589600i | ||||
\(99\) | −376.096 | − | 434.038i | −0.381809 | − | 0.440631i | ||||
\(100\) | −14.2315 | − | 98.9821i | −0.0142315 | − | 0.0989821i | ||||
\(101\) | −1217.95 | − | 357.623i | −1.19991 | − | 0.352325i | −0.380090 | − | 0.924950i | \(-0.624107\pi\) |
−0.819817 | + | 0.572625i | \(0.805925\pi\) | |||||||
\(102\) | −199.076 | + | 229.745i | −0.193249 | + | 0.223021i | ||||
\(103\) | −1056.95 | − | 679.259i | −1.01111 | − | 0.649800i | −0.0734284 | − | 0.997300i | \(-0.523394\pi\) |
−0.937680 | + | 0.347501i | \(0.887030\pi\) | |||||||
\(104\) | −441.799 | − | 283.927i | −0.416557 | − | 0.267705i | ||||
\(105\) | −31.9574 | + | 36.8808i | −0.0297021 | + | 0.0342781i | ||||
\(106\) | 582.506 | + | 171.039i | 0.533755 | + | 0.156725i | ||||
\(107\) | 275.491 | + | 1916.08i | 0.248904 | + | 1.73116i | 0.604570 | + | 0.796552i | \(0.293345\pi\) |
−0.355666 | + | 0.934613i | \(0.615746\pi\) | |||||||
\(108\) | 242.277 | + | 279.603i | 0.215862 | + | 0.249118i | ||||
\(109\) | 327.875 | + | 717.946i | 0.288117 | + | 0.630888i | 0.997244 | − | 0.0741927i | \(-0.0236380\pi\) |
−0.709127 | + | 0.705081i | \(0.750911\pi\) | |||||||
\(110\) | −232.828 | + | 68.3646i | −0.201812 | + | 0.0592573i | ||||
\(111\) | 221.372 | − | 484.738i | 0.189295 | − | 0.414498i | ||||
\(112\) | −12.1745 | + | 84.6754i | −0.0102713 | + | 0.0714382i | ||||
\(113\) | 1357.42 | − | 872.361i | 1.13005 | − | 0.726238i | 0.164478 | − | 0.986381i | \(-0.447406\pi\) |
0.965570 | + | 0.260143i | \(0.0837697\pi\) | |||||||
\(114\) | −263.960 | −0.216861 | ||||||||
\(115\) | −86.6022 | + | 544.679i | −0.0702234 | + | 0.441666i | ||||
\(116\) | 21.0586 | 0.0168555 | ||||||||
\(117\) | −1307.05 | + | 839.987i | −1.03279 | + | 0.663734i | ||||
\(118\) | −82.8467 | + | 576.211i | −0.0646326 | + | 0.449530i | ||||
\(119\) | −184.939 | + | 404.961i | −0.142465 | + | 0.311956i | ||||
\(120\) | 70.0606 | − | 20.5717i | 0.0532969 | − | 0.0156494i | ||||
\(121\) | −308.310 | − | 675.104i | −0.231638 | − | 0.507216i | ||||
\(122\) | 1082.45 | + | 1249.21i | 0.803282 | + | 0.927037i | ||||
\(123\) | 106.757 | + | 742.514i | 0.0782601 | + | 0.544311i | ||||
\(124\) | −301.962 | − | 88.6640i | −0.218685 | − | 0.0642118i | ||||
\(125\) | −81.8576 | + | 94.4687i | −0.0585725 | + | 0.0675963i | ||||
\(126\) | 212.909 | + | 136.828i | 0.150535 | + | 0.0967430i | ||||
\(127\) | 1178.63 | + | 757.459i | 0.823515 | + | 0.529241i | 0.883211 | − | 0.468976i | \(-0.155377\pi\) |
−0.0596961 | + | 0.998217i | \(0.519013\pi\) | |||||||
\(128\) | 83.8222 | − | 96.7359i | 0.0578821 | − | 0.0667995i | ||||
\(129\) | 763.321 | + | 224.131i | 0.520982 | + | 0.152974i | ||||
\(130\) | 93.4239 | + | 649.777i | 0.0630294 | + | 0.438379i | ||||
\(131\) | −590.094 | − | 681.004i | −0.393563 | − | 0.454196i | 0.524040 | − | 0.851693i | \(-0.324424\pi\) |
−0.917603 | + | 0.397498i | \(0.869879\pi\) | |||||||
\(132\) | −73.6052 | − | 161.173i | −0.0485342 | − | 0.106275i | ||||
\(133\) | −370.901 | + | 108.906i | −0.241814 | + | 0.0710029i | ||||
\(134\) | 733.304 | − | 1605.71i | 0.472745 | − | 1.03517i | ||||
\(135\) | 65.8148 | − | 457.752i | 0.0419588 | − | 0.291830i | ||||
\(136\) | 560.381 | − | 360.135i | 0.353326 | − | 0.227069i | ||||
\(137\) | 116.559 | 0.0726886 | 0.0363443 | − | 0.999339i | \(-0.488429\pi\) | ||||
0.0363443 | + | 0.999339i | \(0.488429\pi\) | |||||||
\(138\) | −402.667 | − | 5.99101i | −0.248386 | − | 0.00369557i | ||||
\(139\) | 534.012 | 0.325859 | 0.162929 | − | 0.986638i | \(-0.447906\pi\) | ||||
0.162929 | + | 0.986638i | \(0.447906\pi\) | |||||||
\(140\) | 89.9575 | − | 57.8122i | 0.0543057 | − | 0.0349001i | ||||
\(141\) | −142.396 | + | 990.383i | −0.0850487 | + | 0.591527i | ||||
\(142\) | 295.708 | − | 647.509i | 0.174755 | − | 0.382660i | ||||
\(143\) | 1528.42 | − | 448.785i | 0.893798 | − | 0.262443i | ||||
\(144\) | −157.311 | − | 344.462i | −0.0910363 | − | 0.199342i | ||||
\(145\) | −17.2380 | − | 19.8938i | −0.00987270 | − | 0.0113937i | ||||
\(146\) | −258.749 | − | 1799.64i | −0.146673 | − | 1.02013i | ||||
\(147\) | 550.700 | + | 161.700i | 0.308986 | + | 0.0907265i | ||||
\(148\) | −764.677 | + | 882.484i | −0.424703 | + | 0.490133i | ||||
\(149\) | −1421.16 | − | 913.325i | −0.781384 | − | 0.502165i | 0.0881090 | − | 0.996111i | \(-0.471918\pi\) |
−0.869492 | + | 0.493946i | \(0.835554\pi\) | |||||||
\(150\) | −76.7837 | − | 49.3459i | −0.0417958 | − | 0.0268605i | ||||
\(151\) | −475.254 | + | 548.472i | −0.256130 | + | 0.295590i | −0.869222 | − | 0.494422i | \(-0.835380\pi\) |
0.613092 | + | 0.790011i | \(0.289925\pi\) | |||||||
\(152\) | 554.968 | + | 162.953i | 0.296144 | + | 0.0869556i | ||||
\(153\) | −280.461 | − | 1950.65i | −0.148196 | − | 1.03072i | ||||
\(154\) | −169.924 | − | 196.102i | −0.0889145 | − | 0.102613i | ||||
\(155\) | 163.419 | + | 357.837i | 0.0846847 | + | 0.185434i | ||||
\(156\) | −459.919 | + | 135.045i | −0.236045 | + | 0.0693091i | ||||
\(157\) | −1505.61 | + | 3296.83i | −0.765356 | + | 1.67590i | −0.0287388 | + | 0.999587i | \(0.509149\pi\) |
−0.736618 | + | 0.676310i | \(0.763578\pi\) | |||||||
\(158\) | 153.494 | − | 1067.57i | 0.0772868 | − | 0.537542i | ||||
\(159\) | 466.152 | − | 299.578i | 0.232505 | − | 0.149422i | ||||
\(160\) | −160.000 | −0.0790569 | ||||||||
\(161\) | −568.276 | + | 157.717i | −0.278176 | + | 0.0772039i | ||||
\(162\) | −940.376 | −0.456067 | ||||||||
\(163\) | 3181.85 | − | 2044.85i | 1.52897 | − | 0.982607i | 0.538844 | − | 0.842406i | \(-0.318861\pi\) |
0.990123 | − | 0.140201i | \(-0.0447750\pi\) | |||||||
\(164\) | 233.930 | − | 1627.02i | 0.111383 | − | 0.774688i | ||||
\(165\) | −92.0065 | + | 201.466i | −0.0434103 | + | 0.0950552i | ||||
\(166\) | 300.362 | − | 88.1942i | 0.140437 | − | 0.0412361i | ||||
\(167\) | 309.530 | + | 677.777i | 0.143426 | + | 0.314060i | 0.967689 | − | 0.252148i | \(-0.0811371\pi\) |
−0.824262 | + | 0.566208i | \(0.808410\pi\) | |||||||
\(168\) | 51.1319 | + | 59.0093i | 0.0234816 | + | 0.0270992i | ||||
\(169\) | −300.624 | − | 2090.89i | −0.136834 | − | 0.951700i | ||||
\(170\) | −798.930 | − | 234.587i | −0.360442 | − | 0.105835i | ||||
\(171\) | 1120.57 | − | 1293.21i | 0.501126 | − | 0.578330i | ||||
\(172\) | −1466.49 | − | 942.458i | −0.650111 | − | 0.417801i | ||||
\(173\) | −2300.96 | − | 1478.74i | −1.01121 | − | 0.649864i | −0.0735023 | − | 0.997295i | \(-0.523418\pi\) |
−0.937705 | + | 0.347431i | \(0.887054\pi\) | |||||||
\(174\) | 12.5869 | − | 14.5261i | 0.00548399 | − | 0.00632886i | ||||
\(175\) | −128.251 | − | 37.6580i | −0.0553994 | − | 0.0162667i | ||||
\(176\) | 55.2541 | + | 384.300i | 0.0236644 | + | 0.164589i | ||||
\(177\) | 347.949 | + | 401.555i | 0.147760 | + | 0.170524i | ||||
\(178\) | 492.539 | + | 1078.51i | 0.207401 | + | 0.454145i | ||||
\(179\) | 784.452 | − | 230.336i | 0.327557 | − | 0.0961794i | −0.113819 | − | 0.993501i | \(-0.536309\pi\) |
0.441376 | + | 0.897322i | \(0.354490\pi\) | |||||||
\(180\) | −196.638 | + | 430.578i | −0.0814253 | + | 0.178297i | ||||
\(181\) | −72.8464 | + | 506.658i | −0.0299151 | + | 0.208064i | −0.999297 | − | 0.0374947i | \(-0.988062\pi\) |
0.969382 | + | 0.245559i | \(0.0789714\pi\) | |||||||
\(182\) | −590.534 | + | 379.513i | −0.240513 | + | 0.154568i | ||||
\(183\) | 1508.69 | 0.609431 | ||||||||
\(184\) | 842.896 | + | 261.179i | 0.337713 | + | 0.104643i | ||||
\(185\) | 1459.62 | 0.580071 | ||||||||
\(186\) | −241.646 | + | 155.296i | −0.0952598 | + | 0.0612198i | ||||
\(187\) | −287.548 | + | 1999.94i | −0.112447 | + | 0.782088i | ||||
\(188\) | 910.786 | − | 1994.34i | 0.353329 | − | 0.773683i | ||||
\(189\) | 474.488 | − | 139.322i | 0.182614 | − | 0.0536202i | ||||
\(190\) | −300.343 | − | 657.660i | −0.114680 | − | 0.251114i | ||||
\(191\) | 1656.44 | + | 1911.64i | 0.627518 | + | 0.724194i | 0.977116 | − | 0.212705i | \(-0.0682275\pi\) |
−0.349599 | + | 0.936900i | \(0.613682\pi\) | |||||||
\(192\) | −16.6266 | − | 115.640i | −0.00624957 | − | 0.0434667i | ||||
\(193\) | −3019.64 | − | 886.645i | −1.12621 | − | 0.330684i | −0.334992 | − | 0.942221i | \(-0.608734\pi\) |
−0.791216 | + | 0.611537i | \(0.790552\pi\) | |||||||
\(194\) | 1335.81 | − | 1541.60i | 0.494357 | − | 0.570519i | ||||
\(195\) | 504.054 | + | 323.936i | 0.185108 | + | 0.118962i | ||||
\(196\) | −1058.01 | − | 679.939i | −0.385571 | − | 0.247791i | ||||
\(197\) | 1175.95 | − | 1357.12i | 0.425295 | − | 0.490817i | −0.502148 | − | 0.864782i | \(-0.667457\pi\) |
0.927443 | + | 0.373965i | \(0.122002\pi\) | |||||||
\(198\) | 1102.10 | + | 323.606i | 0.395571 | + | 0.116150i | ||||
\(199\) | −248.201 | − | 1726.27i | −0.0884145 | − | 0.614937i | −0.985063 | − | 0.172194i | \(-0.944915\pi\) |
0.896649 | − | 0.442743i | \(-0.145995\pi\) | |||||||
\(200\) | 130.972 | + | 151.150i | 0.0463056 | + | 0.0534396i | ||||
\(201\) | −669.309 | − | 1465.58i | −0.234873 | − | 0.514299i | ||||
\(202\) | 2435.90 | − | 715.245i | 0.848462 | − | 0.249131i | ||||
\(203\) | 11.6932 | − | 25.6044i | 0.00404285 | − | 0.00885261i | ||||
\(204\) | 86.5265 | − | 601.805i | 0.0296964 | − | 0.206543i | ||||
\(205\) | −1728.51 | + | 1110.85i | −0.588900 | + | 0.378463i | ||||
\(206\) | 2512.79 | 0.849876 | ||||||||
\(207\) | 1738.77 | − | 1947.34i | 0.583831 | − | 0.653863i | ||||
\(208\) | 1050.33 | 0.350133 | ||||||||
\(209\) | −1475.90 | + | 948.503i | −0.488469 | + | 0.313920i | ||||
\(210\) | 13.8900 | − | 96.6072i | 0.00456430 | − | 0.0317454i | ||||
\(211\) | −600.732 | + | 1315.42i | −0.196000 | + | 0.429181i | −0.981958 | − | 0.189099i | \(-0.939443\pi\) |
0.785957 | + | 0.618281i | \(0.212170\pi\) | |||||||
\(212\) | −1165.01 | + | 342.078i | −0.377422 | + | 0.110821i | ||||
\(213\) | −269.901 | − | 591.001i | −0.0868231 | − | 0.190116i | ||||
\(214\) | −2535.34 | − | 2925.94i | −0.809870 | − | 0.934640i | ||||
\(215\) | 310.108 | + | 2156.85i | 0.0983684 | + | 0.684167i | ||||
\(216\) | −709.962 | − | 208.464i | −0.223643 | − | 0.0656674i | ||||
\(217\) | −275.473 | + | 317.913i | −0.0861767 | + | 0.0994532i | ||||
\(218\) | −1327.95 | − | 853.425i | −0.412571 | − | 0.265143i | ||||
\(219\) | −1396.04 | − | 897.180i | −0.430756 | − | 0.276830i | ||||
\(220\) | 317.814 | − | 366.777i | 0.0973955 | − | 0.112400i | ||||
\(221\) | 5244.65 | + | 1539.97i | 1.59635 | + | 0.468731i | ||||
\(222\) | 151.677 | + | 1054.94i | 0.0458555 | + | 0.318932i | ||||
\(223\) | 2303.93 | + | 2658.88i | 0.691850 | + | 0.798438i | 0.987627 | − | 0.156819i | \(-0.0501241\pi\) |
−0.295777 | + | 0.955257i | \(0.595579\pi\) | |||||||
\(224\) | −71.0743 | − | 155.631i | −0.0212002 | − | 0.0464220i | ||||
\(225\) | 567.725 | − | 166.699i | 0.168215 | − | 0.0493923i | ||||
\(226\) | −1340.60 | + | 2935.51i | −0.394582 | + | 0.864014i | ||||
\(227\) | 827.710 | − | 5756.85i | 0.242013 | − | 1.68324i | −0.399975 | − | 0.916526i | \(-0.630981\pi\) |
0.641989 | − | 0.766714i | \(-0.278110\pi\) | |||||||
\(228\) | 444.115 | − | 285.415i | 0.129001 | − | 0.0829038i | ||||
\(229\) | 2268.89 | 0.654726 | 0.327363 | − | 0.944899i | \(-0.393840\pi\) | ||||
0.327363 | + | 0.944899i | \(0.393840\pi\) | |||||||
\(230\) | −443.242 | − | 1010.07i | −0.127072 | − | 0.289573i | ||||
\(231\) | −236.835 | −0.0674573 | ||||||||
\(232\) | −35.4312 | + | 22.7703i | −0.0100266 | + | 0.00644371i | ||||
\(233\) | 633.028 | − | 4402.81i | 0.177987 | − | 1.23793i | −0.683424 | − | 0.730022i | \(-0.739510\pi\) |
0.861411 | − | 0.507908i | \(-0.169581\pi\) | |||||||
\(234\) | 1290.85 | − | 2826.57i | 0.360622 | − | 0.789652i | ||||
\(235\) | −2629.58 | + | 772.113i | −0.729935 | + | 0.214328i | ||||
\(236\) | −483.656 | − | 1059.06i | −0.133404 | − | 0.292114i | ||||
\(237\) | −644.662 | − | 743.979i | −0.176689 | − | 0.203910i | ||||
\(238\) | −126.715 | − | 881.321i | −0.0345114 | − | 0.240032i | ||||
\(239\) | 5593.55 | + | 1642.42i | 1.51388 | + | 0.444515i | 0.930072 | − | 0.367378i | \(-0.119744\pi\) |
0.583807 | + | 0.811893i | \(0.301563\pi\) | |||||||
\(240\) | −95.6337 | + | 110.367i | −0.0257214 | + | 0.0296841i | ||||
\(241\) | −3190.82 | − | 2050.62i | −0.852859 | − | 0.548099i | 0.0396061 | − | 0.999215i | \(-0.487390\pi\) |
−0.892465 | + | 0.451116i | \(0.851026\pi\) | |||||||
\(242\) | 1248.71 | + | 802.498i | 0.331695 | + | 0.213167i | ||||
\(243\) | −2197.44 | + | 2535.98i | −0.580107 | + | 0.669479i | ||||
\(244\) | −3171.98 | − | 931.378i | −0.832235 | − | 0.244366i | ||||
\(245\) | 223.729 | + | 1556.07i | 0.0583408 | + | 0.405769i | ||||
\(246\) | −982.486 | − | 1133.85i | −0.254638 | − | 0.293868i | ||||
\(247\) | 1971.63 | + | 4317.27i | 0.507903 | + | 1.11215i | ||||
\(248\) | 603.923 | − | 177.328i | 0.154634 | − | 0.0454046i | ||||
\(249\) | 118.694 | − | 259.903i | 0.0302084 | − | 0.0661472i | ||||
\(250\) | 35.5787 | − | 247.455i | 0.00900078 | − | 0.0626018i | ||||
\(251\) | 2127.53 | − | 1367.28i | 0.535013 | − | 0.343832i | −0.245073 | − | 0.969505i | \(-0.578812\pi\) |
0.780086 | + | 0.625673i | \(0.215175\pi\) | |||||||
\(252\) | −506.170 | −0.126531 | ||||||||
\(253\) | −2272.99 | + | 1413.43i | −0.564829 | + | 0.351231i | ||||
\(254\) | −2802.08 | −0.692197 | ||||||||
\(255\) | −639.346 | + | 410.883i | −0.157009 | + | 0.100904i | ||||
\(256\) | −36.4326 | + | 253.394i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | −2391.44 | + | 5236.51i | −0.580442 | + | 1.27099i | 0.360606 | + | 0.932718i | \(0.382570\pi\) |
−0.941048 | + | 0.338273i | \(0.890157\pi\) | |||||||
\(258\) | −1526.64 | + | 448.262i | −0.368390 | + | 0.108169i | ||||
\(259\) | 648.383 | + | 1419.76i | 0.155554 | + | 0.340616i | ||||
\(260\) | −859.779 | − | 992.237i | −0.205082 | − | 0.236677i | ||||
\(261\) | 17.7327 | + | 123.334i | 0.00420547 | + | 0.0292497i | ||||
\(262\) | 1729.19 | + | 507.737i | 0.407748 | + | 0.119726i | ||||
\(263\) | −641.018 | + | 739.774i | −0.150292 | + | 0.173446i | −0.825903 | − | 0.563812i | \(-0.809334\pi\) |
0.675611 | + | 0.737258i | \(0.263880\pi\) | |||||||
\(264\) | 298.114 | + | 191.587i | 0.0694988 | + | 0.0446642i | ||||
\(265\) | 1276.81 | + | 820.555i | 0.295976 | + | 0.190212i | ||||
\(266\) | 506.285 | − | 584.284i | 0.116701 | − | 0.134680i | ||||
\(267\) | 1038.35 | + | 304.886i | 0.237999 | + | 0.0698829i | ||||
\(268\) | 502.438 | + | 3494.53i | 0.114520 | + | 0.796502i | ||||
\(269\) | −781.841 | − | 902.292i | −0.177211 | − | 0.204512i | 0.660194 | − | 0.751095i | \(-0.270474\pi\) |
−0.837405 | + | 0.546583i | \(0.815928\pi\) | |||||||
\(270\) | 384.225 | + | 841.335i | 0.0866044 | + | 0.189637i | ||||
\(271\) | −1152.20 | + | 338.318i | −0.258271 | + | 0.0758352i | −0.408305 | − | 0.912846i | \(-0.633880\pi\) |
0.150034 | + | 0.988681i | \(0.452062\pi\) | |||||||
\(272\) | −553.438 | + | 1211.86i | −0.123372 | + | 0.270146i | ||||
\(273\) | −91.1823 | + | 634.187i | −0.0202147 | + | 0.140596i | ||||
\(274\) | −196.112 | + | 126.033i | −0.0432392 | + | 0.0277882i | ||||
\(275\) | −606.644 | −0.133026 | ||||||||
\(276\) | 683.968 | − | 425.316i | 0.149167 | − | 0.0927574i | ||||
\(277\) | −2305.91 | −0.500176 | −0.250088 | − | 0.968223i | \(-0.580460\pi\) | ||||
−0.250088 | + | 0.968223i | \(0.580460\pi\) | |||||||
\(278\) | −898.480 | + | 577.418i | −0.193839 | + | 0.124573i | ||||
\(279\) | 265.006 | − | 1843.16i | 0.0568656 | − | 0.395509i | ||||
\(280\) | −88.8429 | + | 194.539i | −0.0189621 | + | 0.0415211i | ||||
\(281\) | −6906.17 | + | 2027.83i | −1.46615 | + | 0.430500i | −0.914845 | − | 0.403805i | \(-0.867687\pi\) |
−0.551303 | + | 0.834305i | \(0.685869\pi\) | |||||||
\(282\) | −831.301 | − | 1820.30i | −0.175543 | − | 0.384387i | ||||
\(283\) | −4083.72 | − | 4712.87i | −0.857782 | − | 0.989933i | −1.00000 | 9.74837e-5i | \(-0.999969\pi\) | |
0.142218 | − | 0.989835i | \(-0.454576\pi\) | |||||||
\(284\) | 202.610 | + | 1409.18i | 0.0423334 | + | 0.294435i | ||||
\(285\) | −633.169 | − | 185.915i | −0.131599 | − | 0.0386410i | ||||
\(286\) | −2086.32 | + | 2407.74i | −0.431352 | + | 0.497807i | ||||
\(287\) | −1848.34 | − | 1187.86i | −0.380154 | − | 0.244310i | ||||
\(288\) | 637.137 | + | 409.463i | 0.130360 | + | 0.0837773i | ||||
\(289\) | −1322.95 | + | 1526.77i | −0.269275 | + | 0.310760i | ||||
\(290\) | 50.5139 | + | 14.8322i | 0.0102285 | + | 0.00300337i | ||||
\(291\) | −264.964 | − | 1842.86i | −0.0533762 | − | 0.371239i | ||||
\(292\) | 2381.26 | + | 2748.12i | 0.477236 | + | 0.550760i | ||||
\(293\) | 730.885 | + | 1600.42i | 0.145730 | + | 0.319103i | 0.968395 | − | 0.249423i | \(-0.0802410\pi\) |
−0.822665 | + | 0.568526i | \(0.807514\pi\) | |||||||
\(294\) | −1101.40 | + | 323.400i | −0.218486 | + | 0.0641534i | ||||
\(295\) | −604.571 | + | 1323.82i | −0.119320 | + | 0.261275i | ||||
\(296\) | 332.360 | − | 2311.62i | 0.0652637 | − | 0.453919i | ||||
\(297\) | 1888.10 | − | 1213.41i | 0.368884 | − | 0.237067i | ||||
\(298\) | 3378.68 | 0.656784 | ||||||||
\(299\) | 2909.71 | + | 6630.68i | 0.562785 | + | 1.28248i | ||||
\(300\) | 182.546 | 0.0351310 | ||||||||
\(301\) | −1960.20 | + | 1259.74i | −0.375362 | + | 0.241231i | ||||
\(302\) | 206.565 | − | 1436.69i | 0.0393592 | − | 0.273749i | ||||
\(303\) | 962.592 | − | 2107.78i | 0.182506 | − | 0.399633i | ||||
\(304\) | −1109.94 | + | 325.906i | −0.209405 | + | 0.0614869i | ||||
\(305\) | 1716.65 | + | 3758.93i | 0.322279 | + | 0.705692i | ||||
\(306\) | 2581.08 | + | 2978.73i | 0.482192 | + | 0.556479i | ||||
\(307\) | −737.491 | − | 5129.37i | −0.137104 | − | 0.953578i | −0.935973 | − | 0.352073i | \(-0.885477\pi\) |
0.798869 | − | 0.601505i | \(-0.205432\pi\) | |||||||
\(308\) | 497.939 | + | 146.208i | 0.0921192 | + | 0.0270486i | ||||
\(309\) | 1501.92 | − | 1733.31i | 0.276509 | − | 0.319109i | ||||
\(310\) | −661.876 | − | 425.362i | −0.121265 | − | 0.0779321i | ||||
\(311\) | −2305.47 | − | 1481.64i | −0.420358 | − | 0.270148i | 0.313316 | − | 0.949649i | \(-0.398560\pi\) |
−0.733675 | + | 0.679501i | \(0.762196\pi\) | |||||||
\(312\) | 627.796 | − | 724.516i | 0.113917 | − | 0.131467i | ||||
\(313\) | 4290.79 | + | 1259.89i | 0.774855 | + | 0.227518i | 0.645172 | − | 0.764037i | \(-0.276786\pi\) |
0.129683 | + | 0.991555i | \(0.458604\pi\) | |||||||
\(314\) | −1031.60 | − | 7174.93i | −0.185403 | − | 1.28951i | ||||
\(315\) | 414.339 | + | 478.172i | 0.0741122 | + | 0.0855300i | ||||
\(316\) | 896.093 | + | 1962.17i | 0.159523 | + | 0.349306i | ||||
\(317\) | 4907.36 | − | 1440.93i | 0.869479 | − | 0.255302i | 0.183585 | − | 0.983004i | \(-0.441230\pi\) |
0.685894 | + | 0.727702i | \(0.259412\pi\) | |||||||
\(318\) | −460.376 | + | 1008.08i | −0.0811844 | + | 0.177769i | ||||
\(319\) | 18.1808 | − | 126.450i | 0.00319100 | − | 0.0221939i | ||||
\(320\) | 269.201 | − | 173.005i | 0.0470275 | − | 0.0302227i | ||||
\(321\) | −3533.70 | −0.614429 | ||||||||
\(322\) | 785.592 | − | 879.826i | 0.135961 | − | 0.152269i | ||||
\(323\) | −6020.09 | −1.03705 | ||||||||
\(324\) | 1582.19 | − | 1016.81i | 0.271294 | − | 0.174350i | ||||
\(325\) | −233.560 | + | 1624.44i | −0.0398633 | + | 0.277255i | ||||
\(326\) | −3142.42 | + | 6880.95i | −0.533873 | + | 1.16902i | ||||
\(327\) | −1382.42 | + | 405.915i | −0.233786 | + | 0.0686458i | ||||
\(328\) | 1365.68 | + | 2990.41i | 0.229899 | + | 0.503408i | ||||
\(329\) | −1919.13 | − | 2214.79i | −0.321595 | − | 0.371141i | ||||
\(330\) | −63.0400 | − | 438.453i | −0.0105159 | − | 0.0731395i | ||||
\(331\) | 10340.1 | + | 3036.13i | 1.71705 | + | 0.504171i | 0.984326 | − | 0.176356i | \(-0.0564310\pi\) |
0.732723 | + | 0.680527i | \(0.238249\pi\) | |||||||
\(332\) | −409.998 | + | 473.163i | −0.0677758 | + | 0.0782174i | ||||
\(333\) | −5812.35 | − | 3735.37i | −0.956501 | − | 0.614706i | ||||
\(334\) | −1253.66 | − | 805.675i | −0.205380 | − | 0.131990i | ||||
\(335\) | 2889.95 | − | 3335.19i | 0.471329 | − | 0.543942i | ||||
\(336\) | −149.835 | − | 43.9956i | −0.0243280 | − | 0.00714333i | ||||
\(337\) | 1183.95 | + | 8234.55i | 0.191376 | + | 1.33105i | 0.828369 | + | 0.560182i | \(0.189269\pi\) |
−0.636993 | + | 0.770870i | \(0.719822\pi\) | |||||||
\(338\) | 2766.64 | + | 3192.87i | 0.445223 | + | 0.513814i | ||||
\(339\) | 1223.61 | + | 2679.33i | 0.196039 | + | 0.429265i | ||||
\(340\) | 1597.86 | − | 469.174i | 0.254871 | − | 0.0748369i | ||||
\(341\) | −793.097 | + | 1736.64i | −0.125949 | + | 0.275790i | ||||
\(342\) | −487.048 | + | 3387.50i | −0.0770075 | + | 0.535599i | ||||
\(343\) | −2956.96 | + | 1900.33i | −0.465484 | + | 0.299148i | ||||
\(344\) | 3486.45 | 0.546444 | ||||||||
\(345\) | −961.670 | − | 297.982i | −0.150071 | − | 0.0465009i | ||||
\(346\) | 5470.32 | 0.849960 | ||||||||
\(347\) | −2393.53 | + | 1538.23i | −0.370293 | + | 0.237973i | −0.712531 | − | 0.701641i | \(-0.752451\pi\) |
0.342239 | + | 0.939613i | \(0.388815\pi\) | |||||||
\(348\) | −5.47081 | + | 38.0503i | −0.000842719 | + | 0.00586124i | ||||
\(349\) | −2455.58 | + | 5376.98i | −0.376631 | + | 0.824708i | 0.622483 | + | 0.782633i | \(0.286124\pi\) |
−0.999114 | + | 0.0420745i | \(0.986603\pi\) | |||||||
\(350\) | 256.503 | − | 75.3161i | 0.0391733 | − | 0.0115023i | ||||
\(351\) | −2522.28 | − | 5523.02i | −0.383559 | − | 0.839878i | ||||
\(352\) | −508.502 | − | 586.843i | −0.0769979 | − | 0.0888603i | ||||
\(353\) | −682.795 | − | 4748.94i | −0.102950 | − | 0.716036i | −0.974281 | − | 0.225338i | \(-0.927651\pi\) |
0.871330 | − | 0.490697i | \(-0.163258\pi\) | |||||||
\(354\) | −1019.62 | − | 299.388i | −0.153085 | − | 0.0449499i | ||||
\(355\) | 1165.38 | − | 1344.93i | 0.174232 | − | 0.201074i | ||||
\(356\) | −1994.87 | − | 1282.03i | −0.296989 | − | 0.190863i | ||||
\(357\) | −683.670 | − | 439.368i | −0.101355 | − | 0.0651367i | ||||
\(358\) | −1070.79 | + | 1235.76i | −0.158081 | + | 0.182435i | ||||
\(359\) | 9590.08 | + | 2815.90i | 1.40987 | + | 0.413977i | 0.896063 | − | 0.443927i | \(-0.146415\pi\) |
0.513812 | + | 0.857903i | \(0.328233\pi\) | |||||||
\(360\) | −134.731 | − | 937.072i | −0.0197248 | − | 0.137189i | ||||
\(361\) | 1068.58 | + | 1233.21i | 0.155792 | + | 0.179794i | ||||
\(362\) | −425.275 | − | 931.223i | −0.0617458 | − | 0.135204i | ||||
\(363\) | 1299.93 | − | 381.693i | 0.187957 | − | 0.0551892i | ||||
\(364\) | 583.217 | − | 1277.07i | 0.0839805 | − | 0.183892i | ||||
\(365\) | 646.872 | − | 4499.10i | 0.0927640 | − | 0.645188i | ||||
\(366\) | −2538.39 | + | 1631.32i | −0.362524 | + | 0.232980i | ||||
\(367\) | −596.733 | −0.0848753 | −0.0424376 | − | 0.999099i | \(-0.513512\pi\) | ||||
−0.0424376 | + | 0.999099i | \(0.513512\pi\) | |||||||
\(368\) | −1700.59 | + | 471.973i | −0.240895 | + | 0.0668568i | ||||
\(369\) | 9725.94 | 1.37212 | ||||||||
\(370\) | −2455.82 | + | 1578.26i | −0.345059 | + | 0.221756i | ||||
\(371\) | −230.972 | + | 1606.45i | −0.0323220 | + | 0.224805i | ||||
\(372\) | 238.652 | − | 522.574i | 0.0332621 | − | 0.0728339i | ||||
\(373\) | −4708.90 | + | 1382.66i | −0.653667 | + | 0.191934i | −0.591718 | − | 0.806145i | \(-0.701550\pi\) |
−0.0619493 | + | 0.998079i | \(0.519732\pi\) | |||||||
\(374\) | −1678.70 | − | 3675.84i | −0.232095 | − | 0.508217i | ||||
\(375\) | −149.428 | − | 172.449i | −0.0205771 | − | 0.0237472i | ||||
\(376\) | 624.043 | + | 4340.31i | 0.0855919 | + | 0.595304i | ||||
\(377\) | −331.603 | − | 97.3675i | −0.0453009 | − | 0.0133015i | ||||
\(378\) | −647.683 | + | 747.467i | −0.0881303 | + | 0.101708i | ||||
\(379\) | 8187.39 | + | 5261.71i | 1.10965 | + | 0.713129i | 0.961217 | − | 0.275793i | \(-0.0889404\pi\) |
0.148434 | + | 0.988922i | \(0.452577\pi\) | |||||||
\(380\) | 1216.45 | + | 781.762i | 0.164217 | + | 0.105536i | ||||
\(381\) | −1674.83 | + | 1932.86i | −0.225208 | + | 0.259904i | ||||
\(382\) | −4853.99 | − | 1425.26i | −0.650136 | − | 0.190897i | ||||
\(383\) | −162.791 | − | 1132.24i | −0.0217187 | − | 0.151057i | 0.976076 | − | 0.217428i | \(-0.0697668\pi\) |
−0.997795 | + | 0.0663716i | \(0.978858\pi\) | |||||||
\(384\) | 153.014 | + | 176.588i | 0.0203345 | + | 0.0234673i | ||||
\(385\) | −269.480 | − | 590.079i | −0.0356727 | − | 0.0781123i | ||||
\(386\) | 6039.27 | − | 1773.29i | 0.796349 | − | 0.233829i | ||||
\(387\) | 4284.81 | − | 9382.42i | 0.562814 | − | 1.23239i | ||||
\(388\) | −580.597 | + | 4038.14i | −0.0759674 | + | 0.528365i | ||||
\(389\) | −4668.48 | + | 3000.25i | −0.608486 | + | 0.391050i | −0.808289 | − | 0.588786i | \(-0.799606\pi\) |
0.199803 | + | 0.979836i | \(0.435970\pi\) | |||||||
\(390\) | −1198.34 | −0.155590 | ||||||||
\(391\) | −9183.55 | − | 136.636i | −1.18781 | − | 0.0176726i | ||||
\(392\) | 2515.31 | 0.324087 | ||||||||
\(393\) | 1383.79 | − | 889.309i | 0.177616 | − | 0.114147i | ||||
\(394\) | −511.118 | + | 3554.90i | −0.0653547 | + | 0.454552i | ||||
\(395\) | 1120.12 | − | 2452.71i | 0.142681 | − | 0.312429i | ||||
\(396\) | −2204.20 | + | 647.213i | −0.279711 | + | 0.0821305i | ||||
\(397\) | −5013.42 | − | 10977.8i | −0.633794 | − | 1.38781i | −0.905049 | − | 0.425307i | \(-0.860166\pi\) |
0.271255 | − | 0.962507i | \(-0.412561\pi\) | |||||||
\(398\) | 2284.19 | + | 2636.09i | 0.287678 | + | 0.331999i | ||||
\(399\) | −100.424 | − | 698.466i | −0.0126003 | − | 0.0876367i | ||||
\(400\) | −383.797 | − | 112.693i | −0.0479746 | − | 0.0140866i | ||||
\(401\) | 5022.52 | − | 5796.30i | 0.625468 | − | 0.721829i | −0.351267 | − | 0.936275i | \(-0.614249\pi\) |
0.976736 | + | 0.214446i | \(0.0687946\pi\) | |||||||
\(402\) | 2710.82 | + | 1742.14i | 0.336327 | + | 0.216144i | ||||
\(403\) | 4344.95 | + | 2792.33i | 0.537065 | + | 0.345151i | ||||
\(404\) | −3325.04 | + | 3837.30i | −0.409473 | + | 0.472557i | ||||
\(405\) | −2255.71 | − | 662.336i | −0.276758 | − | 0.0812636i | ||||
\(406\) | 8.01179 | + | 55.7232i | 0.000979356 | + | 0.00681157i | ||||
\(407\) | 4638.87 | + | 5353.54i | 0.564963 | + | 0.652002i | ||||
\(408\) | 505.139 | + | 1106.10i | 0.0612944 | + | 0.134216i | ||||
\(409\) | −11859.8 | + | 3482.34i | −1.43381 | + | 0.421004i | −0.904153 | − | 0.427210i | \(-0.859497\pi\) |
−0.529655 | + | 0.848213i | \(0.677678\pi\) | |||||||
\(410\) | 1707.09 | − | 3738.02i | 0.205628 | − | 0.450262i | ||||
\(411\) | −30.2809 | + | 210.609i | −0.00363418 | + | 0.0252763i | ||||
\(412\) | −4227.79 | + | 2717.04i | −0.505554 | + | 0.324900i | ||||
\(413\) | −1556.24 | −0.185417 | ||||||||
\(414\) | −819.870 | + | 5156.52i | −0.0973294 | + | 0.612147i | ||||
\(415\) | 782.605 | 0.0925701 | ||||||||
\(416\) | −1767.20 | + | 1135.71i | −0.208279 | + | 0.133853i | ||||
\(417\) | −138.731 | + | 964.896i | −0.0162918 | + | 0.113312i | ||||
\(418\) | 1457.61 | − | 3191.73i | 0.170560 | − | 0.373475i | ||||
\(419\) | −7484.69 | + | 2197.70i | −0.872676 | + | 0.256241i | −0.687253 | − | 0.726418i | \(-0.741184\pi\) |
−0.185423 | + | 0.982659i | \(0.559365\pi\) | |||||||
\(420\) | 81.0895 | + | 177.561i | 0.00942087 | + | 0.0206288i | ||||
\(421\) | −6317.89 | − | 7291.24i | −0.731390 | − | 0.844069i | 0.261237 | − | 0.965275i | \(-0.415869\pi\) |
−0.992627 | + | 0.121205i | \(0.961324\pi\) | |||||||
\(422\) | −411.603 | − | 2862.76i | −0.0474799 | − | 0.330230i | ||||
\(423\) | 12447.2 | + | 3654.83i | 1.43074 | + | 0.420104i | ||||
\(424\) | 1590.26 | − | 1835.26i | 0.182146 | − | 0.210207i | ||||
\(425\) | −1751.19 | − | 1125.42i | −0.199871 | − | 0.128449i | ||||
\(426\) | 1093.15 | + | 702.524i | 0.124327 | + | 0.0799000i | ||||
\(427\) | −2893.73 | + | 3339.55i | −0.327957 | + | 0.378482i | ||||
\(428\) | 7429.49 | + | 2181.50i | 0.839061 | + | 0.246370i | ||||
\(429\) | 413.832 | + | 2878.26i | 0.0465734 | + | 0.323925i | ||||
\(430\) | −2853.92 | − | 3293.60i | −0.320066 | − | 0.369376i | ||||
\(431\) | 3653.48 | + | 8000.00i | 0.408310 | + | 0.894075i | 0.996360 | + | 0.0852498i | \(0.0271688\pi\) |
−0.588049 | + | 0.808825i | \(0.700104\pi\) | |||||||
\(432\) | 1419.92 | − | 416.927i | 0.158139 | − | 0.0464339i | ||||
\(433\) | 5165.42 | − | 11310.7i | 0.573289 | − | 1.25533i | −0.371739 | − | 0.928337i | \(-0.621238\pi\) |
0.945028 | − | 0.326990i | \(-0.106034\pi\) | |||||||
\(434\) | 119.732 | − | 832.755i | 0.0132427 | − | 0.0921049i | ||||
\(435\) | 40.4239 | − | 25.9789i | 0.00445558 | − | 0.00286343i | ||||
\(436\) | 3157.09 | 0.346782 | ||||||||
\(437\) | −5132.24 | − | 6104.09i | −0.561804 | − | 0.668188i | ||||
\(438\) | 3318.95 | 0.362067 | ||||||||
\(439\) | −14760.8 | + | 9486.18i | −1.60477 | + | 1.03132i | −0.639946 | + | 0.768420i | \(0.721043\pi\) |
−0.964822 | + | 0.262903i | \(0.915320\pi\) | |||||||
\(440\) | −138.135 | + | 960.751i | −0.0149667 | + | 0.104095i | ||||
\(441\) | 3091.29 | − | 6768.98i | 0.333796 | − | 0.730912i | ||||
\(442\) | −10489.3 | + | 3079.94i | −1.12879 | + | 0.331443i | ||||
\(443\) | −3632.62 | − | 7954.33i | −0.389596 | − | 0.853096i | −0.998220 | − | 0.0596375i | \(-0.981006\pi\) |
0.608624 | − | 0.793459i | \(-0.291722\pi\) | |||||||
\(444\) | −1395.89 | − | 1610.94i | −0.149202 | − | 0.172189i | ||||
\(445\) | 421.841 | + | 2933.97i | 0.0449375 | + | 0.312547i | ||||
\(446\) | −6751.37 | − | 1982.38i | −0.716787 | − | 0.210468i | ||||
\(447\) | 2019.47 | − | 2330.59i | 0.213686 | − | 0.246607i | ||||
\(448\) | 287.864 | + | 184.999i | 0.0303578 | + | 0.0195098i | ||||
\(449\) | −10319.7 | − | 6632.10i | −1.08467 | − | 0.697078i | −0.129042 | − | 0.991639i | \(-0.541190\pi\) |
−0.955633 | + | 0.294561i | \(0.904826\pi\) | |||||||
\(450\) | −774.952 | + | 894.343i | −0.0811813 | + | 0.0936883i | ||||
\(451\) | −9567.78 | − | 2809.35i | −0.998956 | − | 0.293320i | ||||
\(452\) | −918.539 | − | 6388.58i | −0.0955851 | − | 0.664809i | ||||
\(453\) | −867.557 | − | 1001.21i | −0.0899809 | − | 0.103844i | ||||
\(454\) | 4832.15 | + | 10580.9i | 0.499524 | + | 1.09380i | ||||
\(455\) | −1683.84 | + | 494.419i | −0.173493 | + | 0.0509423i | ||||
\(456\) | −438.612 | + | 960.426i | −0.0450436 | + | 0.0986317i | ||||
\(457\) | 1300.93 | − | 9048.20i | 0.133162 | − | 0.926164i | −0.808234 | − | 0.588861i | \(-0.799576\pi\) |
0.941396 | − | 0.337303i | \(-0.109515\pi\) | |||||||
\(458\) | −3817.42 | + | 2453.31i | −0.389468 | + | 0.250296i | ||||
\(459\) | 7701.41 | 0.783161 | ||||||||
\(460\) | 1837.93 | + | 1220.18i | 0.186291 | + | 0.123676i | ||||
\(461\) | 12130.4 | 1.22553 | 0.612766 | − | 0.790265i | \(-0.290057\pi\) | ||||
0.612766 | + | 0.790265i | \(0.290057\pi\) | |||||||
\(462\) | 398.477 | − | 256.086i | 0.0401274 | − | 0.0257883i | ||||
\(463\) | 409.665 | − | 2849.28i | 0.0411204 | − | 0.285999i | −0.958877 | − | 0.283821i | \(-0.908398\pi\) |
0.999998 | − | 0.00217750i | \(-0.000693121\pi\) | |||||||
\(464\) | 34.9922 | − | 76.6222i | 0.00350102 | − | 0.00766616i | ||||
\(465\) | −689.023 | + | 202.316i | −0.0687155 | + | 0.0201767i | ||||
\(466\) | 3695.60 | + | 8092.24i | 0.367372 | + | 0.804433i | ||||
\(467\) | −2638.95 | − | 3045.51i | −0.261490 | − | 0.301776i | 0.609789 | − | 0.792564i | \(-0.291254\pi\) |
−0.871279 | + | 0.490788i | \(0.836709\pi\) | |||||||
\(468\) | 884.451 | + | 6151.49i | 0.0873585 | + | 0.607592i | ||||
\(469\) | 4527.87 | + | 1329.50i | 0.445795 | + | 0.130897i | ||||
\(470\) | 3589.41 | − | 4142.40i | 0.352270 | − | 0.406542i | ||||
\(471\) | −5565.83 | − | 3576.94i | −0.544501 | − | 0.349930i | ||||
\(472\) | 1958.90 | + | 1258.91i | 0.191029 | + | 0.122767i | ||||
\(473\) | −6925.26 | + | 7992.18i | −0.673201 | + | 0.776915i | ||||
\(474\) | 1889.10 | + | 554.690i | 0.183057 | + | 0.0537505i | ||||
\(475\) | −257.233 | − | 1789.09i | −0.0248477 | − | 0.172819i | ||||
\(476\) | 1166.16 | + | 1345.81i | 0.112291 | + | 0.129591i | ||||
\(477\) | −2984.47 | − | 6535.07i | −0.286477 | − | 0.627297i | ||||
\(478\) | −11187.1 | + | 3284.83i | −1.07047 | + | 0.314319i | ||||
\(479\) | 4831.09 | − | 10578.6i | 0.460831 | − | 1.00908i | −0.526466 | − | 0.850196i | \(-0.676483\pi\) |
0.987297 | − | 0.158883i | \(-0.0507894\pi\) | |||||||
\(480\) | 41.5664 | − | 289.101i | 0.00395258 | − | 0.0274908i | ||||
\(481\) | 16121.4 | − | 10360.6i | 1.52822 | − | 0.982127i | ||||
\(482\) | 7585.88 | 0.716862 | ||||||||
\(483\) | −137.343 | − | 1067.78i | −0.0129385 | − | 0.100591i | ||||
\(484\) | −2968.69 | −0.278803 | ||||||||
\(485\) | 4290.04 | − | 2757.04i | 0.401651 | − | 0.258125i | ||||
\(486\) | 955.100 | − | 6642.87i | 0.0891445 | − | 0.620013i | ||||
\(487\) | 6990.07 | − | 15306.1i | 0.650411 | − | 1.42420i | −0.240783 | − | 0.970579i | \(-0.577404\pi\) |
0.891194 | − | 0.453623i | \(-0.149869\pi\) | |||||||
\(488\) | 6343.97 | − | 1862.76i | 0.588479 | − | 0.172793i | ||||
\(489\) | 2868.18 | + | 6280.45i | 0.265243 | + | 0.580801i | ||||
\(490\) | −2058.97 | − | 2376.18i | −0.189826 | − | 0.219071i | ||||
\(491\) | −1505.21 | − | 10469.0i | −0.138349 | − | 0.962237i | −0.934201 | − | 0.356746i | \(-0.883886\pi\) |
0.795853 | − | 0.605490i | \(-0.207023\pi\) | |||||||
\(492\) | 2879.05 | + | 845.366i | 0.263816 | + | 0.0774635i | ||||
\(493\) | 287.068 | − | 331.294i | 0.0262249 | − | 0.0302652i | ||||
\(494\) | −7985.47 | − | 5131.95i | −0.727294 | − | 0.467404i | ||||
\(495\) | 2415.72 | + | 1552.49i | 0.219351 | + | 0.140968i | ||||
\(496\) | −824.364 | + | 951.367i | −0.0746271 | + | 0.0861242i | ||||
\(497\) | 1825.88 | + | 536.127i | 0.164793 | + | 0.0483875i | ||||
\(498\) | 81.3252 | + | 565.629i | 0.00731781 | + | 0.0508965i | ||||
\(499\) | 7082.61 | + | 8173.77i | 0.635393 | + | 0.733283i | 0.978553 | − | 0.205994i | \(-0.0660428\pi\) |
−0.343160 | + | 0.939277i | \(0.611497\pi\) | |||||||
\(500\) | 207.708 | + | 454.816i | 0.0185779 | + | 0.0406800i | ||||
\(501\) | −1305.07 | + | 383.204i | −0.116380 | + | 0.0341723i | ||||
\(502\) | −2101.16 | + | 4600.91i | −0.186812 | + | 0.409061i | ||||
\(503\) | 546.246 | − | 3799.23i | 0.0484213 | − | 0.336778i | −0.951182 | − | 0.308629i | \(-0.900130\pi\) |
0.999604 | − | 0.0281485i | \(-0.00896112\pi\) | |||||||
\(504\) | 851.635 | − | 547.312i | 0.0752675 | − | 0.0483715i | ||||
\(505\) | 6346.85 | 0.559269 | ||||||||
\(506\) | 2296.01 | − | 4835.85i | 0.201719 | − | 0.424861i | ||||
\(507\) | 3856.08 | 0.337780 | ||||||||
\(508\) | 4714.52 | − | 3029.84i | 0.411757 | − | 0.264620i | ||||
\(509\) | −1913.59 | + | 13309.3i | −0.166637 | + | 1.15899i | 0.719136 | + | 0.694870i | \(0.244538\pi\) |
−0.885773 | + | 0.464119i | \(0.846371\pi\) | |||||||
\(510\) | 631.424 | − | 1382.63i | 0.0548234 | − | 0.120047i | ||||
\(511\) | 4663.59 | − | 1369.35i | 0.403728 | − | 0.118545i | ||||
\(512\) | −212.692 | − | 465.732i | −0.0183589 | − | 0.0402004i | ||||
\(513\) | 4379.13 | + | 5053.79i | 0.376888 | + | 0.434952i | ||||
\(514\) | −1638.54 | − | 11396.3i | −0.140609 | − | 0.977954i | ||||
\(515\) | 6027.52 | + | 1769.84i | 0.515736 | + | 0.151434i | ||||
\(516\) | 2083.89 | − | 2404.93i | 0.177787 | − | 0.205177i | ||||
\(517\) | −11189.1 | − | 7190.79i | −0.951829 | − | 0.611704i | ||||
\(518\) | −2626.07 | − | 1687.67i | −0.222747 | − | 0.143151i | ||||
\(519\) | 3269.67 | − | 3773.40i | 0.276537 | − | 0.319140i | ||||
\(520\) | 2519.47 | + | 739.784i | 0.212473 | + | 0.0623878i | ||||
\(521\) | 758.135 | + | 5272.95i | 0.0637515 | + | 0.443401i | 0.996549 | + | 0.0830014i | \(0.0264506\pi\) |
−0.932798 | + | 0.360400i | \(0.882640\pi\) | |||||||
\(522\) | −163.194 | − | 188.336i | −0.0136835 | − | 0.0157916i | ||||
\(523\) | 910.279 | + | 1993.23i | 0.0761065 | + | 0.166650i | 0.943861 | − | 0.330343i | \(-0.107165\pi\) |
−0.867754 | + | 0.496993i | \(0.834437\pi\) | |||||||
\(524\) | −3458.39 | + | 1015.47i | −0.288321 | + | 0.0846588i | ||||
\(525\) | 101.362 | − | 221.952i | 0.00842628 | − | 0.0184510i | ||||
\(526\) | 278.613 | − | 1937.79i | 0.0230952 | − | 0.160631i | ||||
\(527\) | −5511.17 | + | 3541.81i | −0.455541 | + | 0.292759i | ||||
\(528\) | −708.739 | −0.0584165 | ||||||||
\(529\) | −7690.61 | − | 9428.17i | −0.632087 | − | 0.774897i | ||||
\(530\) | −3035.49 | −0.248780 | ||||||||
\(531\) | 5795.32 | − | 3724.43i | 0.473626 | − | 0.304381i | ||||
\(532\) | −220.053 | + | 1530.50i | −0.0179333 | + | 0.124729i | ||||
\(533\) | −11206.4 | + | 24538.6i | −0.910698 | + | 1.99415i | ||||
\(534\) | −2076.69 | + | 609.772i | −0.168291 | + | 0.0494147i | ||||
\(535\) | −4020.77 | − | 8804.26i | −0.324922 | − | 0.711479i | ||||
\(536\) | −4623.93 | − | 5336.30i | −0.372618 | − | 0.430024i | ||||
\(537\) | 212.396 | + | 1477.25i | 0.0170681 | + | 0.118711i | ||||
\(538\) | 2291.08 | + | 672.723i | 0.183598 | + | 0.0539092i | ||||
\(539\) | −4996.25 | + | 5765.98i | −0.399265 | + | 0.460776i | ||||
\(540\) | −1556.18 | − | 1000.10i | −0.124014 | − | 0.0796988i | ||||
\(541\) | 9613.45 | + | 6178.19i | 0.763982 | + | 0.490982i | 0.863683 | − | 0.504036i | \(-0.168152\pi\) |
−0.0997004 | + | 0.995018i | \(0.531788\pi\) | |||||||
\(542\) | 1572.78 | − | 1815.08i | 0.124643 | − | 0.143846i | ||||
\(543\) | −896.544 | − | 263.249i | −0.0708552 | − | 0.0208050i | ||||
\(544\) | −379.199 | − | 2637.39i | −0.0298861 | − | 0.207862i | ||||
\(545\) | −2584.31 | − | 2982.46i | −0.203119 | − | 0.234412i | ||||
\(546\) | −532.320 | − | 1165.62i | −0.0417238 | − | 0.0913623i | ||||
\(547\) | −2216.48 | + | 650.816i | −0.173253 | + | 0.0508718i | −0.367209 | − | 0.930139i | \(-0.619687\pi\) |
0.193955 | + | 0.981010i | \(0.437868\pi\) | |||||||
\(548\) | 193.682 | − | 424.104i | 0.0150980 | − | 0.0330599i | ||||
\(549\) | 2783.78 | − | 19361.6i | 0.216410 | − | 1.50516i | ||||
\(550\) | 1020.68 | − | 655.953i | 0.0791310 | − | 0.0508544i | ||||
\(551\) | 380.632 | 0.0294291 | ||||||||
\(552\) | −690.894 | + | 1455.16i | −0.0532725 | + | 0.112202i | ||||
\(553\) | 2883.31 | 0.221719 | ||||||||
\(554\) | 3879.71 | − | 2493.34i | 0.297533 | − | 0.191213i | ||||
\(555\) | −379.194 | + | 2637.35i | −0.0290016 | + | 0.201710i | ||||
\(556\) | 887.347 | − | 1943.02i | 0.0676833 | − | 0.148206i | ||||
\(557\) | 2664.69 | − | 782.425i | 0.202705 | − | 0.0595196i | −0.178804 | − | 0.983885i | \(-0.557223\pi\) |
0.381509 | + | 0.924365i | \(0.375405\pi\) | |||||||
\(558\) | 1547.10 | + | 3387.68i | 0.117373 | + | 0.257010i | ||||
\(559\) | 18734.8 | + | 21621.2i | 1.41753 | + | 1.63592i | ||||
\(560\) | −60.8724 | − | 423.377i | −0.00459345 | − | 0.0319481i | ||||
\(561\) | −3538.95 | − | 1039.13i | −0.266336 | − | 0.0782034i | ||||
\(562\) | 9427.02 | − | 10879.4i | 0.707571 | − | 0.816580i | ||||
\(563\) | −11071.5 | − | 7115.20i | −0.828786 | − | 0.532628i | 0.0561061 | − | 0.998425i | \(-0.482131\pi\) |
−0.884892 | + | 0.465797i | \(0.845768\pi\) | |||||||
\(564\) | 3366.92 | + | 2163.79i | 0.251371 | + | 0.161546i | ||||
\(565\) | −5283.32 | + | 6097.27i | −0.393400 | + | 0.454007i | ||||
\(566\) | 11966.8 | + | 3513.78i | 0.888699 | + | 0.260946i | ||||
\(567\) | −357.768 | − | 2488.33i | −0.0264989 | − | 0.184304i | ||||
\(568\) | −1864.62 | − | 2151.88i | −0.137742 | − | 0.158963i | ||||
\(569\) | 8793.72 | + | 19255.6i | 0.647895 | + | 1.41869i | 0.893385 | + | 0.449292i | \(0.148324\pi\) |
−0.245490 | + | 0.969399i | \(0.578949\pi\) | |||||||
\(570\) | 1266.34 | − | 371.831i | 0.0930545 | − | 0.0273233i | ||||
\(571\) | −80.9550 | + | 177.267i | −0.00593321 | + | 0.0129919i | −0.912575 | − | 0.408908i | \(-0.865910\pi\) |
0.906642 | + | 0.421900i | \(0.138637\pi\) | |||||||
\(572\) | 906.801 | − | 6306.94i | 0.0662854 | − | 0.461025i | ||||
\(573\) | −3884.42 | + | 2496.37i | −0.283201 | + | 0.182002i | ||||
\(574\) | 4394.26 | 0.319535 | ||||||||
\(575\) | −351.798 | − | 2735.07i | −0.0255148 | − | 0.198366i | ||||
\(576\) | −1514.73 | −0.109573 | ||||||||
\(577\) | 4043.66 | − | 2598.70i | 0.291750 | − | 0.187497i | −0.386576 | − | 0.922258i | \(-0.626342\pi\) |
0.678326 | + | 0.734761i | \(0.262706\pi\) | |||||||
\(578\) | 575.009 | − | 3999.28i | 0.0413793 | − | 0.287799i | ||||
\(579\) | 2386.53 | − | 5225.77i | 0.171297 | − | 0.375088i | ||||
\(580\) | −101.028 | + | 29.6644i | −0.00723267 | + | 0.00212370i | ||||
\(581\) | 347.645 | + | 761.235i | 0.0248240 | + | 0.0543569i | ||||
\(582\) | 2438.46 | + | 2814.13i | 0.173672 | + | 0.200429i | ||||
\(583\) | 1048.27 | + | 7290.87i | 0.0744681 | + | 0.517937i | ||||
\(584\) | −6977.99 | − | 2048.92i | −0.494437 | − | 0.145180i | ||||
\(585\) | 5087.25 | − | 5870.99i | 0.359541 | − | 0.414933i | ||||
\(586\) | −2960.22 | − | 1902.42i | −0.208678 | − | 0.134109i | ||||
\(587\) | 3305.64 | + | 2124.40i | 0.232433 | + | 0.149376i | 0.651674 | − | 0.758500i | \(-0.274067\pi\) |
−0.419241 | + | 0.907875i | \(0.637704\pi\) | |||||||
\(588\) | 1503.43 | − | 1735.05i | 0.105443 | − | 0.121687i | ||||
\(589\) | −5457.93 | − | 1602.59i | −0.381817 | − | 0.112111i | ||||
\(590\) | −414.233 | − | 2881.06i | −0.0289046 | − | 0.201036i | ||||
\(591\) | 2146.65 | + | 2477.37i | 0.149410 | + | 0.172429i | ||||
\(592\) | 1940.31 | + | 4248.68i | 0.134706 | + | 0.294966i | ||||
\(593\) | 22800.3 | − | 6694.77i | 1.57891 | − | 0.463611i | 0.629333 | − | 0.777136i | \(-0.283328\pi\) |
0.949580 | + | 0.313525i | \(0.101510\pi\) | |||||||
\(594\) | −1864.70 | + | 4083.13i | −0.128804 | + | 0.282042i | ||||
\(595\) | 316.787 | − | 2203.30i | 0.0218269 | − | 0.151809i | ||||
\(596\) | −5684.65 | + | 3653.30i | −0.390692 | + | 0.251082i | ||||
\(597\) | 3183.65 | 0.218255 | ||||||||
\(598\) | −12065.2 | − | 8009.95i | −0.825057 | − | 0.547745i | ||||
\(599\) | −13489.4 | −0.920139 | −0.460070 | − | 0.887883i | \(-0.652176\pi\) | ||||
−0.460070 | + | 0.887883i | \(0.652176\pi\) | |||||||
\(600\) | −307.135 | + | 197.384i | −0.0208979 | + | 0.0134303i | ||||
\(601\) | 2537.22 | − | 17646.8i | 0.172206 | − | 1.19772i | −0.702006 | − | 0.712171i | \(-0.747712\pi\) |
0.874212 | − | 0.485545i | \(-0.161379\pi\) | |||||||
\(602\) | 1935.91 | − | 4239.06i | 0.131066 | − | 0.286995i | ||||
\(603\) | −20043.3 | + | 5885.25i | −1.35361 | + | 0.397456i | ||||
\(604\) | 1205.92 | + | 2640.60i | 0.0812388 | + | 0.177888i | ||||
\(605\) | 2430.10 | + | 2804.48i | 0.163302 | + | 0.188460i | ||||
\(606\) | 659.539 | + | 4587.19i | 0.0442111 | + | 0.307495i | ||||
\(607\) | 4257.05 | + | 1249.98i | 0.284659 | + | 0.0835835i | 0.420945 | − | 0.907086i | \(-0.361698\pi\) |
−0.136286 | + | 0.990670i | \(0.543517\pi\) | |||||||
\(608\) | 1515.08 | − | 1748.49i | 0.101060 | − | 0.116630i | ||||
\(609\) | 43.2264 | + | 27.7799i | 0.00287622 | + | 0.00184844i | ||||
\(610\) | −6952.74 | − | 4468.25i | −0.461489 | − | 0.296581i | ||||
\(611\) | −23563.0 | + | 27193.2i | −1.56016 | + | 1.80052i | ||||
\(612\) | −7563.53 | − | 2220.85i | −0.499571 | − | 0.146687i | ||||
\(613\) | −1805.13 | − | 12554.9i | −0.118937 | − | 0.827225i | −0.958730 | − | 0.284318i | \(-0.908233\pi\) |
0.839793 | − | 0.542907i | \(-0.182676\pi\) | |||||||
\(614\) | 6787.12 | + | 7832.76i | 0.446101 | + | 0.514828i | ||||
\(615\) | −1558.12 | − | 3411.80i | −0.102161 | − | 0.223702i | ||||
\(616\) | −995.878 | + | 292.416i | −0.0651381 | + | 0.0191263i | ||||
\(617\) | −1725.96 | + | 3779.32i | −0.112617 | + | 0.246596i | −0.957545 | − | 0.288283i | \(-0.906916\pi\) |
0.844929 | + | 0.534879i | \(0.179643\pi\) | |||||||
\(618\) | −652.798 | + | 4540.31i | −0.0424909 | + | 0.295531i | ||||
\(619\) | −20651.2 | + | 13271.7i | −1.34094 | + | 0.861769i | −0.997013 | − | 0.0772284i | \(-0.975393\pi\) |
−0.343925 | + | 0.938997i | \(0.611757\pi\) | |||||||
\(620\) | 1573.55 | 0.101928 | ||||||||
\(621\) | 6565.60 | + | 7808.87i | 0.424265 | + | 0.504604i | ||||
\(622\) | 5481.04 | 0.353328 | ||||||||
\(623\) | −2666.46 | + | 1713.63i | −0.171476 | + | 0.110201i | ||||
\(624\) | −272.866 | + | 1897.83i | −0.0175054 | + | 0.121753i | ||||
\(625\) | 259.634 | − | 568.520i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | −8581.58 | + | 2519.78i | −0.547905 | + | 0.160880i | ||||
\(627\) | −1330.41 | − | 2913.18i | −0.0847389 | − | 0.185552i | ||||
\(628\) | 9493.80 | + | 10956.4i | 0.603254 | + | 0.696193i | ||||
\(629\) | 3459.28 | + | 24059.8i | 0.219285 | + | 1.52516i | ||||
\(630\) | −1214.17 | − | 356.512i | −0.0767834 | − | 0.0225456i | ||||
\(631\) | 7336.56 | − | 8466.85i | 0.462859 | − | 0.534168i | −0.475553 | − | 0.879687i | \(-0.657752\pi\) |
0.938412 | + | 0.345520i | \(0.112297\pi\) | |||||||
\(632\) | −3629.34 | − | 2332.44i | −0.228429 | − | 0.146803i | ||||
\(633\) | −2220.74 | − | 1427.18i | −0.139442 | − | 0.0896136i | ||||
\(634\) | −6698.61 | + | 7730.61i | −0.419615 | + | 0.484262i | ||||
\(635\) | −6721.43 | − | 1973.59i | −0.420050 | − | 0.123338i | ||||
\(636\) | −315.436 | − | 2193.90i | −0.0196664 | − | 0.136783i | ||||
\(637\) | 13516.3 | + | 15598.6i | 0.840715 | + | 0.970237i | ||||
\(638\) | 106.139 | + | 232.412i | 0.00658634 | + | 0.0144221i | ||||
\(639\) | −8082.54 | + | 2373.25i | −0.500376 | + | 0.146924i | ||||
\(640\) | −265.866 | + | 582.164i | −0.0164207 | + | 0.0359564i | ||||
\(641\) | −431.012 | + | 2997.75i | −0.0265584 | + | 0.184718i | −0.998782 | − | 0.0493350i | \(-0.984290\pi\) |
0.972224 | + | 0.234053i | \(0.0751989\pi\) | |||||||
\(642\) | 5945.47 | − | 3820.92i | 0.365497 | − | 0.234891i | ||||
\(643\) | 18035.5 | 1.10615 | 0.553073 | − | 0.833133i | \(-0.313455\pi\) | ||||
0.553073 | + | 0.833133i | \(0.313455\pi\) | |||||||
\(644\) | −370.424 | + | 2329.76i | −0.0226658 | + | 0.142555i | ||||
\(645\) | −3977.73 | −0.242826 | ||||||||
\(646\) | 10128.8 | − | 6509.41i | 0.616895 | − | 0.396454i | ||||
\(647\) | 2984.14 | − | 20755.2i | 0.181327 | − | 1.26116i | −0.672302 | − | 0.740277i | \(-0.734694\pi\) |
0.853629 | − | 0.520882i | \(-0.174397\pi\) | |||||||
\(648\) | −1562.58 | + | 3421.58i | −0.0947286 | + | 0.207427i | ||||
\(649\) | −6776.89 | + | 1989.88i | −0.409886 | + | 0.120354i | ||||
\(650\) | −1363.51 | − | 2985.68i | −0.0822792 | − | 0.180166i | ||||
\(651\) | −502.865 | − | 580.337i | −0.0302747 | − | 0.0349389i | ||||
\(652\) | −2153.09 | − | 14975.1i | −0.129328 | − | 0.899493i | ||||
\(653\) | 7363.50 | + | 2162.12i | 0.441280 | + | 0.129572i | 0.494823 | − | 0.868994i | \(-0.335233\pi\) |
−0.0535423 | + | 0.998566i | \(0.517051\pi\) | |||||||
\(654\) | 1887.02 | − | 2177.74i | 0.112826 | − | 0.130209i | ||||
\(655\) | 3790.26 | + | 2435.85i | 0.226103 | + | 0.145308i | ||||
\(656\) | −5531.24 | − | 3554.71i | −0.329205 | − | 0.211567i | ||||
\(657\) | −14089.8 | + | 16260.4i | −0.836672 | + | 0.965571i | ||||
\(658\) | 5623.75 | + | 1651.28i | 0.333187 | + | 0.0978324i | ||||
\(659\) | 994.413 | + | 6916.30i | 0.0587812 | + | 0.408833i | 0.997874 | + | 0.0651694i | \(0.0207588\pi\) |
−0.939093 | + | 0.343663i | \(0.888332\pi\) | |||||||
\(660\) | 580.156 | + | 669.536i | 0.0342160 | + | 0.0394874i | ||||
\(661\) | 2434.39 | + | 5330.57i | 0.143248 | + | 0.313669i | 0.967634 | − | 0.252359i | \(-0.0812065\pi\) |
−0.824386 | + | 0.566028i | \(0.808479\pi\) | |||||||
\(662\) | −20680.2 | + | 6072.26i | −1.21414 | + | 0.356503i | ||||
\(663\) | −4145.04 | + | 9076.38i | −0.242806 | + | 0.531670i | ||||
\(664\) | 178.202 | − | 1239.42i | 0.0104150 | − | 0.0724382i | ||||
\(665\) | 1625.97 | − | 1044.95i | 0.0948158 | − | 0.0609344i | ||||
\(666\) | 13818.3 | 0.803977 | ||||||||
\(667\) | 580.648 | + | 8.63907i | 0.0337073 | + | 0.000501508i | ||||
\(668\) | 2980.45 | 0.172630 | ||||||||
\(669\) | −5402.81 | + | 3472.17i | −0.312234 | + | 0.200661i | ||||
\(670\) | −1256.09 | + | 8736.33i | −0.0724286 | + | 0.503752i | ||||
\(671\) | −8331.16 | + | 18242.7i | −0.479316 | + | 1.04955i | ||||
\(672\) | 299.671 | − | 87.9913i | 0.0172025 | − | 0.00505110i | ||||
\(673\) | −7516.29 | − | 16458.4i | −0.430507 | − | 0.942680i | −0.993244 | − | 0.116044i | \(-0.962979\pi\) |
0.562737 | − | 0.826636i | \(-0.309749\pi\) | |||||||
\(674\) | −10895.9 | − | 12574.5i | −0.622690 | − | 0.718623i | ||||
\(675\) | 329.074 | + | 2288.76i | 0.0187645 | + | 0.130510i | ||||
\(676\) | −8107.28 | − | 2380.51i | −0.461270 | − | 0.135441i | ||||
\(677\) | −9736.54 | + | 11236.6i | −0.552741 | + | 0.637897i | −0.961520 | − | 0.274736i | \(-0.911409\pi\) |
0.408778 | + | 0.912634i | \(0.365955\pi\) | |||||||
\(678\) | −4955.83 | − | 3184.92i | −0.280719 | − | 0.180407i | ||||
\(679\) | 4587.46 | + | 2948.18i | 0.259279 | + | 0.166628i | ||||
\(680\) | −2181.10 | + | 2517.13i | −0.123002 | + | 0.141952i | ||||
\(681\) | 10186.9 | + | 2991.14i | 0.573220 | + | 0.168313i | ||||
\(682\) | −543.406 | − | 3779.47i | −0.0305104 | − | 0.212204i | ||||
\(683\) | 16447.3 | + | 18981.2i | 0.921431 | + | 1.06339i | 0.997799 | + | 0.0663088i | \(0.0211223\pi\) |
−0.0763677 | + | 0.997080i | \(0.524332\pi\) | |||||||
\(684\) | −2843.37 | − | 6226.12i | −0.158946 | − | 0.348043i | ||||
\(685\) | −559.189 | + | 164.193i | −0.0311905 | + | 0.00915837i | ||||
\(686\) | 2920.33 | − | 6394.62i | 0.162534 | − | 0.355901i | ||||
\(687\) | −589.434 | + | 4099.60i | −0.0327341 | + | 0.227671i | ||||
\(688\) | −5865.97 | + | 3769.83i | −0.325055 | + | 0.208900i | ||||
\(689\) | 19926.7 | 1.10181 | ||||||||
\(690\) | 1940.22 | − | 538.480i | 0.107048 | − | 0.0297095i | ||||
\(691\) | 6309.16 | 0.347340 | 0.173670 | − | 0.984804i | \(-0.444437\pi\) | ||||
0.173670 | + | 0.984804i | \(0.444437\pi\) | |||||||
\(692\) | −9203.85 | + | 5914.96i | −0.505604 | + | 0.324932i | ||||
\(693\) | −436.999 | + | 3039.40i | −0.0239542 | + | 0.166605i | ||||
\(694\) | 2363.87 | − | 5176.16i | 0.129296 | − | 0.283119i | ||||
\(695\) | −2561.91 | + | 752.243i | −0.139825 | + | 0.0410564i | ||||
\(696\) | −31.9384 | − | 69.9354i | −0.00173940 | − | 0.00380876i | ||||
\(697\) | −22407.4 | − | 25859.5i | −1.21771 | − | 1.40531i | ||||
\(698\) | −1682.49 | − | 11702.0i | −0.0912367 | − | 0.634565i | ||||
\(699\) | 7790.89 | + | 2287.61i | 0.421571 | + | 0.123785i | ||||
\(700\) | −350.130 | + | 404.072i | −0.0189052 | + | 0.0218178i | ||||
\(701\) | 690.170 | + | 443.545i | 0.0371860 | + | 0.0238980i | 0.559102 | − | 0.829099i | \(-0.311146\pi\) |
−0.521916 | + | 0.852997i | \(0.674782\pi\) | |||||||
\(702\) | 10215.7 | + | 6565.23i | 0.549240 | + | 0.352975i | ||||
\(703\) | −13821.5 | + | 15950.8i | −0.741516 | + | 0.855755i | ||||
\(704\) | 1490.10 | + | 437.533i | 0.0797732 | + | 0.0234235i | ||||
\(705\) | −711.978 | − | 4951.91i | −0.0380349 | − | 0.264539i | ||||
\(706\) | 6283.75 | + | 7251.83i | 0.334975 | + | 0.386581i | ||||
\(707\) | 2819.36 | + | 6173.54i | 0.149976 | + | 0.328401i | ||||
\(708\) | 2039.24 | − | 598.775i | 0.108248 | − | 0.0317844i | ||||
\(709\) | −12370.2 | + | 27087.0i | −0.655251 | + | 1.43480i | 0.231631 | + | 0.972804i | \(0.425594\pi\) |
−0.886882 | + | 0.461995i | \(0.847134\pi\) | |||||||
\(710\) | −506.525 | + | 3522.96i | −0.0267740 | + | 0.186217i | ||||
\(711\) | −10737.3 | + | 6900.42i | −0.566356 | + | 0.363975i | ||||
\(712\) | 4742.62 | 0.249631 | ||||||||
\(713\) | −8289.61 | − | 2568.61i | −0.435411 | − | 0.134916i | ||||
\(714\) | 1625.36 | 0.0851927 | ||||||||
\(715\) | −6700.37 | + | 4306.06i | −0.350461 | + | 0.225228i | ||||
\(716\) | 465.409 | − | 3236.99i | 0.0242921 | − | 0.168955i | ||||
\(717\) | −4420.79 | + | 9680.19i | −0.230262 | + | 0.504203i | ||||
\(718\) | −19180.2 | + | 5631.80i | −0.996932 | + | 0.292726i | ||||
\(719\) | −10783.8 | − | 23613.1i | −0.559341 | − | 1.22479i | −0.952281 | − | 0.305222i | \(-0.901269\pi\) |
0.392940 | − | 0.919564i | \(-0.371458\pi\) | |||||||
\(720\) | 1239.92 | + | 1430.95i | 0.0641795 | + | 0.0740671i | ||||
\(721\) | 955.998 | + | 6649.12i | 0.0493804 | + | 0.343448i | ||||
\(722\) | −3131.34 | − | 919.444i | −0.161408 | − | 0.0473936i | ||||
\(723\) | 4534.16 | − | 5232.70i | 0.233233 | − | 0.269165i | ||||
\(724\) | 1722.44 | + | 1106.95i | 0.0884172 | + | 0.0568223i | ||||
\(725\) | 110.723 | + | 71.1570i | 0.00567191 | + | 0.00364511i | ||||
\(726\) | −1774.42 | + | 2047.79i | −0.0907091 | + | 0.104684i | ||||
\(727\) | 10163.0 | + | 2984.13i | 0.518466 | + | 0.152235i | 0.530488 | − | 0.847692i | \(-0.322009\pi\) |
−0.0120221 | + | 0.999928i | \(0.503827\pi\) | |||||||
\(728\) | 399.603 | + | 2779.30i | 0.0203438 | + | 0.141494i | ||||
\(729\) | 4302.16 | + | 4964.96i | 0.218572 | + | 0.252246i | ||||
\(730\) | 3776.42 | + | 8269.21i | 0.191468 | + | 0.419257i | ||||
\(731\) | −34817.8 | + | 10223.4i | −1.76168 | + | 0.517275i | ||||
\(732\) | 2506.94 | − | 5489.43i | 0.126583 | − | 0.277179i | ||||
\(733\) | −1880.66 | + | 13080.3i | −0.0947666 | + | 0.659116i | 0.885964 | + | 0.463753i | \(0.153498\pi\) |
−0.980731 | + | 0.195363i | \(0.937411\pi\) | |||||||
\(734\) | 1004.01 | − | 645.237i | 0.0504886 | − | 0.0324470i | ||||
\(735\) | −2869.75 | −0.144017 | ||||||||
\(736\) | 2350.91 | − | 2632.91i | 0.117739 | − | 0.131862i | ||||
\(737\) | 21417.4 | 1.07045 | ||||||||
\(738\) | −16364.0 | + | 10516.5i | −0.816214 | + | 0.524549i | ||||
\(739\) | 442.520 | − | 3077.80i | 0.0220276 | − | 0.153205i | −0.975839 | − | 0.218491i | \(-0.929887\pi\) |
0.997867 | + | 0.0652855i | \(0.0207958\pi\) | |||||||
\(740\) | 2425.39 | − | 5310.86i | 0.120485 | − | 0.263826i | ||||
\(741\) | −8313.00 | + | 2440.92i | −0.412126 | + | 0.121011i | ||||
\(742\) | −1348.41 | − | 2952.60i | −0.0667138 | − | 0.146083i | ||||
\(743\) | −8942.25 | − | 10319.9i | −0.441533 | − | 0.509557i | 0.490743 | − | 0.871305i | \(-0.336726\pi\) |
−0.932276 | + | 0.361748i | \(0.882180\pi\) | |||||||
\(744\) | 163.517 | + | 1137.28i | 0.00805755 | + | 0.0560415i | ||||
\(745\) | 8104.54 | + | 2379.71i | 0.398560 | + | 0.117028i | ||||
\(746\) | 6427.72 | − | 7417.98i | 0.315463 | − | 0.364064i | ||||
\(747\) | −3116.42 | − | 2002.80i | −0.152642 | − | 0.0980972i | ||||
\(748\) | 6799.04 | + | 4369.48i | 0.332350 | + | 0.213588i | ||||
\(749\) | 6777.77 | − | 7821.96i | 0.330647 | − | 0.381586i | ||||
\(750\) | 437.879 | + | 128.573i | 0.0213188 | + | 0.00625975i | ||||
\(751\) | 2415.52 | + | 16800.3i | 0.117368 | + | 0.816314i | 0.960435 | + | 0.278505i | \(0.0898388\pi\) |
−0.843067 | + | 0.537809i | \(0.819252\pi\) | |||||||
\(752\) | −5743.06 | − | 6627.84i | −0.278494 | − | 0.321399i | ||||
\(753\) | 1917.80 | + | 4199.39i | 0.0928132 | + | 0.203233i | ||||
\(754\) | 663.206 | − | 194.735i | 0.0320326 | − | 0.00940561i | ||||
\(755\) | 1507.40 | − | 3300.75i | 0.0726622 | − | 0.159108i | ||||
\(756\) | 281.510 | − | 1957.95i | 0.0135429 | − | 0.0941929i | ||||
\(757\) | 5678.47 | − | 3649.33i | 0.272639 | − | 0.175214i | −0.397176 | − | 0.917742i | \(-0.630010\pi\) |
0.669815 | + | 0.742528i | \(0.266373\pi\) | |||||||
\(758\) | −19464.7 | −0.932706 | ||||||||
\(759\) | −1963.39 | − | 4474.21i | −0.0938955 | − | 0.213970i | ||||
\(760\) | −2891.98 | −0.138031 | ||||||||
\(761\) | −11718.0 | + | 7530.67i | −0.558181 | + | 0.358721i | −0.789112 | − | 0.614249i | \(-0.789459\pi\) |
0.230932 | + | 0.972970i | \(0.425823\pi\) | |||||||
\(762\) | 727.952 | − | 5063.01i | 0.0346075 | − | 0.240700i | ||||
\(763\) | 1753.03 | − | 3838.60i | 0.0831768 | − | 0.182132i | ||||
\(764\) | 9707.98 | − | 2850.52i | 0.459715 | − | 0.134985i | ||||
\(765\) | 4093.31 | + | 8963.11i | 0.193456 | + | 0.423610i | ||||
\(766\) | 1498.17 | + | 1728.98i | 0.0706671 | + | 0.0815542i | ||||
\(767\) | 2719.27 | + | 18913.0i | 0.128015 | + | 0.890361i | ||||
\(768\) | −448.388 | − | 131.659i | −0.0210675 | − | 0.00618596i | ||||
\(769\) | 18766.8 | − | 21658.1i | 0.880039 | − | 1.01562i | −0.119701 | − | 0.992810i | \(-0.538194\pi\) |
0.999740 | − | 0.0228088i | \(-0.00726090\pi\) | |||||||
\(770\) | 1091.44 | + | 701.428i | 0.0510817 | + | 0.0328282i | ||||
\(771\) | −8840.47 | − | 5681.43i | −0.412947 | − | 0.265385i | ||||
\(772\) | −8243.69 | + | 9513.72i | −0.384322 | + | 0.443532i | ||||
\(773\) | 12619.1 | + | 3705.30i | 0.587164 | + | 0.172407i | 0.561802 | − | 0.827272i | \(-0.310108\pi\) |
0.0253614 | + | 0.999678i | \(0.491926\pi\) | |||||||
\(774\) | 2935.82 | + | 20419.1i | 0.136338 | + | 0.948254i | ||||
\(775\) | −1288.07 | − | 1486.51i | −0.0597017 | − | 0.0688994i | ||||
\(776\) | −3389.51 | − | 7421.99i | −0.156799 | − | 0.343342i | ||||
\(777\) | −2733.78 | + | 802.710i | −0.126221 | + | 0.0370618i | ||||
\(778\) | 4610.63 | − | 10095.9i | 0.212467 | − | 0.465237i | ||||
\(779\) | 4228.26 | − | 29408.2i | 0.194471 | − | 1.35258i | ||||
\(780\) | 2016.21 | − | 1295.74i | 0.0925539 | − | 0.0594808i | ||||
\(781\) | 8636.63 | 0.395702 | ||||||||
\(782\) | 15599.1 | − | 9700.11i | 0.713330 | − | 0.443575i | ||||
\(783\) | −486.937 | −0.0222244 | ||||||||
\(784\) | −4232.02 | + | 2719.76i | −0.192785 | + | 0.123896i | ||||
\(785\) | 2579.00 | − | 17937.3i | 0.117259 | − | 0.815555i | ||||
\(786\) | −1366.65 | + | 2992.54i | −0.0620187 | + | 0.135802i | ||||
\(787\) | 18219.6 | − | 5349.76i | 0.825233 | − | 0.242310i | 0.158265 | − | 0.987397i | \(-0.449410\pi\) |
0.666968 | + | 0.745086i | \(0.267592\pi\) | |||||||
\(788\) | −2983.89 | − | 6533.81i | −0.134894 | − | 0.295377i | ||||
\(789\) | −1170.15 | − | 1350.43i | −0.0527991 | − | 0.0609334i | ||||
\(790\) | 767.469 | + | 5337.87i | 0.0345637 | + | 0.240396i | ||||
\(791\) | −8277.70 | − | 2430.55i | −0.372088 | − | 0.109255i | ||||
\(792\) | 3008.77 | − | 3472.31i | 0.134990 | − | 0.155787i | ||||
\(793\) | 45641.9 | + | 29332.3i | 2.04387 | + | 1.31352i | ||||
\(794\) | 20305.3 | + | 13049.4i | 0.907565 | + | 0.583257i | ||||
\(795\) | −1814.34 | + | 2093.87i | −0.0809411 | + | 0.0934110i | ||||
\(796\) | −6693.52 | − | 1965.40i | −0.298047 | − | 0.0875146i | ||||
\(797\) | 1006.82 | + | 7002.55i | 0.0447468 | + | 0.311221i | 0.999887 | + | 0.0150653i | \(0.00479562\pi\) |
−0.955140 | + | 0.296156i | \(0.904295\pi\) | |||||||
\(798\) | 924.203 | + | 1066.59i | 0.0409980 | + | 0.0473143i | ||||
\(799\) | −18959.3 | − | 41515.2i | −0.839466 | − | 1.83817i | ||||
\(800\) | 767.594 | − | 225.386i | 0.0339232 | − | 0.00996075i | ||||
\(801\) | 5828.63 | − | 12762.9i | 0.257109 | − | 0.562991i | ||||
\(802\) | −2183.00 | + | 15183.1i | −0.0961151 | + | 0.668495i | ||||
\(803\) | 18557.5 | − | 11926.2i | 0.815541 | − | 0.524117i | ||||
\(804\) | −6444.72 | −0.282696 | ||||||||
\(805\) | 2504.11 | − | 1557.15i | 0.109638 | − | 0.0681768i | ||||
\(806\) | −10329.7 | −0.451425 | ||||||||
\(807\) | 1833.45 | − | 1178.28i | 0.0799757 | − | 0.0513973i | ||||
\(808\) | 1445.20 | − | 10051.6i | 0.0629232 | − | 0.437641i | ||||
\(809\) | 6966.23 | − | 15253.9i | 0.302744 | − | 0.662917i | −0.695721 | − | 0.718312i | \(-0.744915\pi\) |
0.998464 | + | 0.0553959i | \(0.0176421\pi\) | |||||||
\(810\) | 4511.42 | − | 1324.67i | 0.195698 | − | 0.0574620i | ||||
\(811\) | −13340.2 | − | 29211.1i | −0.577607 | − | 1.26478i | −0.942647 | − | 0.333792i | \(-0.891672\pi\) |
0.365040 | − | 0.930992i | \(-0.381055\pi\) | |||||||
\(812\) | −73.7324 | − | 85.0918i | −0.00318658 | − | 0.00367751i | ||||
\(813\) | −311.968 | − | 2169.79i | −0.0134578 | − | 0.0936011i | ||||
\(814\) | −13593.6 | − | 3991.44i | −0.585326 | − | 0.171867i | ||||
\(815\) | −12384.3 | + | 14292.2i | −0.532274 | + | 0.614277i | ||||
\(816\) | −2045.91 | − | 1314.82i | −0.0877709 | − | 0.0564070i | ||||
\(817\) | −26506.7 | − | 17034.8i | −1.13507 | − | 0.729466i | ||||
\(818\) | 16188.7 | − | 18682.8i | 0.691963 | − | 0.798568i | ||||
\(819\) | 7970.51 | + | 2340.35i | 0.340064 | + | 0.0998517i | ||||
\(820\) | 1169.65 | + | 8135.09i | 0.0498121 | + | 0.346451i | ||||
\(821\) | 21018.3 | + | 24256.4i | 0.893476 | + | 1.03113i | 0.999325 | + | 0.0367440i | \(0.0116986\pi\) |
−0.105849 | + | 0.994382i | \(0.533756\pi\) | |||||||
\(822\) | −176.779 | − | 387.093i | −0.00750108 | − | 0.0164251i | ||||
\(823\) | −3439.99 | + | 1010.07i | −0.145699 | + | 0.0427812i | −0.353769 | − | 0.935333i | \(-0.615100\pi\) |
0.208070 | + | 0.978114i | \(0.433282\pi\) | |||||||
\(824\) | 4175.41 | − | 9142.86i | 0.176526 | − | 0.386537i | ||||
\(825\) | 157.600 | − | 1096.13i | 0.00665082 | − | 0.0462575i | ||||
\(826\) | 2618.38 | − | 1682.73i | 0.110297 | − | 0.0708833i | ||||
\(827\) | 16916.8 | 0.711313 | 0.355657 | − | 0.934617i | \(-0.384257\pi\) | ||||
0.355657 | + | 0.934617i | \(0.384257\pi\) | |||||||
\(828\) | −4196.21 | − | 9562.39i | −0.176121 | − | 0.401348i | ||||
\(829\) | 6412.72 | 0.268665 | 0.134332 | − | 0.990936i | \(-0.457111\pi\) | ||||
0.134332 | + | 0.990936i | \(0.457111\pi\) | |||||||
\(830\) | −1316.74 | + | 846.217i | −0.0550659 | + | 0.0353887i | ||||
\(831\) | 599.053 | − | 4166.50i | 0.0250071 | − | 0.173928i | ||||
\(832\) | 1745.30 | − | 3821.67i | 0.0727252 | − | 0.159246i | ||||
\(833\) | −25119.4 | + | 7375.73i | −1.04482 | + | 0.306787i | ||||
\(834\) | −809.908 | − | 1773.45i | −0.0336269 | − | 0.0736326i | ||||
\(835\) | −2439.72 | − | 2815.59i | −0.101114 | − | 0.116692i | ||||
\(836\) | 998.712 | + | 6946.19i | 0.0413172 | + | 0.287367i | ||||
\(837\) | 6982.25 | + | 2050.17i | 0.288341 | + | 0.0846647i | ||||
\(838\) | 10216.7 | − | 11790.7i | 0.421158 | − | 0.486042i | ||||
\(839\) | 14908.2 | + | 9580.90i | 0.613453 | + | 0.394242i | 0.810151 | − | 0.586222i | \(-0.199385\pi\) |
−0.196698 | + | 0.980464i | \(0.563022\pi\) | |||||||
\(840\) | −328.428 | − | 211.068i | −0.0134903 | − | 0.00866967i | ||||
\(841\) | 15953.2 | − | 18411.0i | 0.654117 | − | 0.754891i | ||||
\(842\) | 18513.8 | + | 5436.14i | 0.757752 | + | 0.222496i | ||||
\(843\) | −1869.90 | − | 13005.4i | −0.0763970 | − | 0.531353i | ||||
\(844\) | 3787.98 | + | 4371.56i | 0.154488 | + | 0.178288i | ||||
\(845\) | 4387.59 | + | 9607.47i | 0.178624 | + | 0.391133i | ||||
\(846\) | −24894.4 | + | 7309.66i | −1.01169 | + | 0.297058i | ||||
\(847\) | −1648.42 | + | 3609.53i | −0.0668717 | + | 0.146429i | ||||
\(848\) | −691.192 | + | 4807.35i | −0.0279901 | + | 0.194676i | ||||
\(849\) | 9576.49 | − | 6154.44i | 0.387119 | − | 0.248787i | ||||
\(850\) | 4163.29 | 0.168000 | ||||||||
\(851\) | −21446.4 | + | 24019.0i | −0.863895 | + | 0.967522i | ||||
\(852\) | −2598.86 | −0.104502 | ||||||||
\(853\) | 6497.59 | − | 4175.75i | 0.260813 | − | 0.167614i | −0.403699 | − | 0.914892i | \(-0.632276\pi\) |
0.664512 | + | 0.747278i | \(0.268639\pi\) | |||||||
\(854\) | 1257.74 | − | 8747.75i | 0.0503968 | − | 0.350517i | ||||
\(855\) | −3554.22 | + | 7782.65i | −0.142166 | + | 0.311300i | ||||
\(856\) | −14859.0 | + | 4362.99i | −0.593305 | + | 0.174210i | ||||
\(857\) | −5600.15 | − | 12262.6i | −0.223218 | − | 0.488779i | 0.764578 | − | 0.644531i | \(-0.222947\pi\) |
−0.987796 | + | 0.155752i | \(0.950220\pi\) | |||||||
\(858\) | −3808.49 | − | 4395.23i | −0.151538 | − | 0.174884i | ||||
\(859\) | −4367.53 | − | 30376.9i | −0.173479 | − | 1.20657i | −0.871464 | − | 0.490459i | \(-0.836829\pi\) |
0.697985 | − | 0.716112i | \(-0.254080\pi\) | |||||||
\(860\) | 8363.06 | + | 2455.61i | 0.331602 | + | 0.0973672i | ||||
\(861\) | 2626.50 | − | 3031.14i | 0.103961 | − | 0.119978i | ||||
\(862\) | −14797.2 | − | 9509.61i | −0.584682 | − | 0.375753i | ||||
\(863\) | −8723.08 | − | 5605.99i | −0.344076 | − | 0.221124i | 0.357177 | − | 0.934037i | \(-0.383739\pi\) |
−0.701253 | + | 0.712913i | \(0.747376\pi\) | |||||||
\(864\) | −1938.22 | + | 2236.82i | −0.0763188 | + | 0.0880766i | ||||
\(865\) | 13121.8 | + | 3852.92i | 0.515787 | + | 0.151449i | ||||
\(866\) | 3539.18 | + | 24615.6i | 0.138876 | + | 0.965902i | ||||
\(867\) | −2414.99 | − | 2787.05i | −0.0945991 | − | 0.109173i | ||||
\(868\) | 698.993 | + | 1530.58i | 0.0273334 | + | 0.0598517i | ||||
\(869\) | 12555.9 | − | 3686.73i | 0.490136 | − | 0.143917i | ||||
\(870\) | −39.9230 | + | 87.4192i | −0.00155577 | + | 0.00340665i | ||||
\(871\) | 8245.75 | − | 57350.4i | 0.320777 | − | 2.23105i | ||||
\(872\) | −5311.82 | + | 3413.70i | −0.206285 | + | 0.132572i | ||||
\(873\) | −24139.1 | −0.935835 | ||||||||
\(874\) | 15235.3 | + | 4720.78i | 0.589634 | + | 0.182703i | ||||
\(875\) | 668.329 | 0.0258213 | ||||||||
\(876\) | −5584.16 | + | 3588.72i | −0.215378 | + | 0.138415i | ||||
\(877\) | 1549.48 | − | 10776.9i | 0.0596605 | − | 0.414948i | −0.938003 | − | 0.346627i | \(-0.887327\pi\) |
0.997663 | − | 0.0683204i | \(-0.0217640\pi\) | |||||||
\(878\) | 14577.9 | − | 31921.1i | 0.560341 | − | 1.22698i | ||||
\(879\) | −3081.63 | + | 904.849i | −0.118249 | + | 0.0347210i | ||||
\(880\) | −806.429 | − | 1765.83i | −0.0308917 | − | 0.0676434i | ||||
\(881\) | 24775.3 | + | 28592.2i | 0.947446 | + | 1.09341i | 0.995519 | + | 0.0945668i | \(0.0301466\pi\) |
−0.0480728 | + | 0.998844i | \(0.515308\pi\) | |||||||
\(882\) | 2118.06 | + | 14731.4i | 0.0808601 | + | 0.562395i | ||||
\(883\) | 11314.7 | + | 3322.29i | 0.431222 | + | 0.126618i | 0.490138 | − | 0.871645i | \(-0.336946\pi\) |
−0.0589160 | + | 0.998263i | \(0.518764\pi\) | |||||||
\(884\) | 14318.0 | − | 16523.9i | 0.544760 | − | 0.628686i | ||||
\(885\) | −2234.93 | − | 1436.30i | −0.0848885 | − | 0.0545545i | ||||
\(886\) | 14712.8 | + | 9455.33i | 0.557884 | + | 0.358531i | ||||
\(887\) | −15200.2 | + | 17542.0i | −0.575393 | + | 0.664039i | −0.966608 | − | 0.256260i | \(-0.917510\pi\) |
0.391214 | + | 0.920300i | \(0.372055\pi\) | |||||||
\(888\) | 4090.47 | + | 1201.07i | 0.154580 | + | 0.0453888i | ||||
\(889\) | −1066.06 | − | 7414.60i | −0.0402187 | − | 0.279727i | ||||
\(890\) | −3882.20 | − | 4480.29i | −0.146215 | − | 0.168741i | ||||
\(891\) | −4739.66 | − | 10378.4i | −0.178210 | − | 0.390225i | ||||
\(892\) | 13502.7 | − | 3964.76i | 0.506845 | − | 0.148823i | ||||
\(893\) | 16462.4 | − | 36047.5i | 0.616900 | − | 1.35082i | ||||
\(894\) | −877.746 | + | 6104.86i | −0.0328369 | + | 0.228386i | ||||
\(895\) | −3438.92 | + | 2210.06i | −0.128436 | + | 0.0825408i | ||||
\(896\) | −684.369 | −0.0255169 | ||||||||
\(897\) | −12736.7 | + | 3534.90i | −0.474100 | + | 0.131580i | ||||
\(898\) | 24534.2 | 0.911712 | ||||||||
\(899\) | 348.454 | − | 223.938i | 0.0129273 | − | 0.00830785i | ||||
\(900\) | 336.826 | − | 2342.68i | 0.0124751 | − | 0.0867659i | ||||
\(901\) | −10499.7 | + | 22991.2i | −0.388231 | + | 0.850108i | ||||
\(902\) | 19135.6 | − | 5618.71i | 0.706369 | − | 0.207409i | ||||
\(903\) | −1766.97 | − | 3869.11i | −0.0651173 | − | 0.142587i | ||||
\(904\) | 8453.31 | + | 9755.63i | 0.311010 | + | 0.358924i | ||||
\(905\) | −364.232 | − | 2533.29i | −0.0133784 | − | 0.0930490i | ||||
\(906\) | 2542.26 | + | 746.476i | 0.0932241 | + | 0.0273731i | ||||
\(907\) | 29283.6 | − | 33795.1i | 1.07205 | − | 1.23721i | 0.101872 | − | 0.994798i | \(-0.467517\pi\) |
0.970174 | − | 0.242409i | \(-0.0779377\pi\) | |||||||
\(908\) | −19571.1 | − | 12577.6i | −0.715296 | − | 0.459693i | ||||
\(909\) | −25273.8 | − | 16242.5i | −0.922200 | − | 0.592662i | ||||
\(910\) | 2298.46 | − | 2652.57i | 0.0837288 | − | 0.0966282i | ||||
\(911\) | −6262.93 | − | 1838.96i | −0.227772 | − | 0.0668798i | 0.165855 | − | 0.986150i | \(-0.446962\pi\) |
−0.393627 | + | 0.919270i | \(0.628780\pi\) | |||||||
\(912\) | −300.523 | − | 2090.19i | −0.0109115 | − | 0.0758914i | ||||
\(913\) | 2487.23 | + | 2870.41i | 0.0901591 | + | 0.104049i | ||||
\(914\) | 7594.82 | + | 16630.3i | 0.274852 | + | 0.601841i | ||||
\(915\) | −7237.91 | + | 2125.24i | −0.261506 | + | 0.0767850i | ||||
\(916\) | 3770.12 | − | 8255.41i | 0.135992 | − | 0.297780i | ||||
\(917\) | −685.650 | + | 4768.80i | −0.0246916 | + | 0.171734i | ||||
\(918\) | −12957.7 | + | 8327.39i | −0.465868 | + | 0.299395i | ||||
\(919\) | −4409.01 | −0.158259 | −0.0791294 | − | 0.996864i | \(-0.525214\pi\) | ||||
−0.0791294 | + | 0.996864i | \(0.525214\pi\) | |||||||
\(920\) | −4411.68 | − | 65.6384i | −0.158096 | − | 0.00235221i | ||||
\(921\) | 9459.74 | 0.338446 | ||||||||
\(922\) | −20409.5 | + | 13116.4i | −0.729015 | + | 0.468509i | ||||
\(923\) | 3325.13 | − | 23126.8i | 0.118578 | − | 0.824731i | ||||
\(924\) | −393.540 | + | 861.732i | −0.0140114 | + | 0.0306806i | ||||
\(925\) | −7002.46 | + | 2056.11i | −0.248908 | + | 0.0730858i | ||||
\(926\) | 2391.61 | + | 5236.90i | 0.0848739 | + | 0.185848i | ||||
\(927\) | −19472.9 | − | 22473.0i | −0.689941 | − | 0.796234i | ||||
\(928\) | 23.9756 | + | 166.754i | 0.000848100 | + | 0.00589867i | ||||
\(929\) | 2275.06 | + | 668.018i | 0.0803470 | + | 0.0235920i | 0.321659 | − | 0.946856i | \(-0.395760\pi\) |
−0.241312 | + | 0.970448i | \(0.577578\pi\) | |||||||
\(930\) | 940.527 | − | 1085.43i | 0.0331625 | − | 0.0382715i | ||||
\(931\) | −19123.4 | − | 12289.8i | −0.673193 | − | 0.432635i | ||||
\(932\) | −14967.9 | − | 9619.26i | −0.526061 | − | 0.338079i | ||||
\(933\) | 3276.08 | − | 3780.80i | 0.114956 | − | 0.132666i | ||||
\(934\) | 7733.10 | + | 2270.64i | 0.270915 | + | 0.0795479i | ||||
\(935\) | −1437.74 | − | 9999.72i | −0.0502879 | − | 0.349760i | ||||
\(936\) | −8139.59 | − | 9393.59i | −0.284242 | − | 0.328033i | ||||
\(937\) | 13809.3 | + | 30238.2i | 0.481463 | + | 1.05426i | 0.982059 | + | 0.188576i | \(0.0603871\pi\) |
−0.500596 | + | 0.865681i | \(0.666886\pi\) | |||||||
\(938\) | −9055.75 | + | 2659.01i | −0.315225 | + | 0.0925583i | ||||
\(939\) | −3391.17 | + | 7425.63i | −0.117856 | + | 0.258068i | ||||
\(940\) | −1560.11 | + | 10850.8i | −0.0541330 | + | 0.376504i | ||||
\(941\) | 21001.2 | − | 13496.7i | 0.727545 | − | 0.467565i | −0.123709 | − | 0.992319i | \(-0.539479\pi\) |
0.851254 | + | 0.524754i | \(0.175843\pi\) | |||||||
\(942\) | 13232.2 | 0.457675 | ||||||||
\(943\) | 7117.61 | − | 44765.8i | 0.245791 | − | 1.54589i | ||||
\(944\) | −4657.09 | −0.160567 | ||||||||
\(945\) | −2080.08 | + | 1336.79i | −0.0716033 | + | 0.0460166i | ||||
\(946\) | 3010.01 | − | 20935.1i | 0.103450 | − | 0.719511i | ||||
\(947\) | −18339.1 | + | 40157.0i | −0.629292 | + | 1.37796i | 0.279271 | + | 0.960212i | \(0.409907\pi\) |
−0.908564 | + | 0.417746i | \(0.862820\pi\) | |||||||
\(948\) | −3778.20 | + | 1109.38i | −0.129441 | + | 0.0380073i | ||||
\(949\) | −24790.7 | − | 54284.0i | −0.847987 | − | 1.85683i | ||||
\(950\) | 2367.31 | + | 2732.02i | 0.0808480 | + | 0.0933036i | ||||
\(951\) | 1328.70 | + | 9241.34i | 0.0453062 | + | 0.315112i | ||||
\(952\) | −3417.27 | − | 1003.40i | −0.116339 | − | 0.0341601i | ||||
\(953\) | 16521.4 | − | 19066.7i | 0.561576 | − | 0.648093i | −0.401965 | − | 0.915655i | \(-0.631673\pi\) |
0.963541 | + | 0.267562i | \(0.0862181\pi\) | |||||||
\(954\) | 12087.6 | + | 7768.26i | 0.410222 | + | 0.263634i | ||||
\(955\) | −10639.6 | − | 6837.64i | −0.360511 | − | 0.231687i | ||||
\(956\) | 15270.6 | − | 17623.2i | 0.516616 | − | 0.596207i | ||||
\(957\) | 223.757 | + | 65.7010i | 0.00755804 | + | 0.00221924i | ||||
\(958\) | 3310.11 | + | 23022.4i | 0.111634 | + | 0.776428i | ||||
\(959\) | −408.109 | − | 470.983i | −0.0137420 | − | 0.0158591i | ||||
\(960\) | 242.663 | + | 531.359i | 0.00815826 | + | 0.0178641i | ||||
\(961\) | 22644.9 | − | 6649.13i | 0.760124 | − | 0.223193i | ||||
\(962\) | −15921.7 | + | 34863.6i | −0.533613 | + | 1.16845i | ||||
\(963\) | −6520.24 | + | 45349.3i | −0.218185 | + | 1.51751i | ||||
\(964\) | −12763.3 | + | 8202.47i | −0.426430 | + | 0.274050i | ||||
\(965\) | 15735.6 | 0.524918 | ||||||||
\(966\) | 1385.65 | + | 1648.04i | 0.0461517 | + | 0.0548911i | ||||
\(967\) | 25882.6 | 0.860732 | 0.430366 | − | 0.902655i | \(-0.358385\pi\) | ||||
0.430366 | + | 0.902655i | \(0.358385\pi\) | |||||||
\(968\) | 4994.84 | − | 3209.99i | 0.165847 | − | 0.106584i | ||||
\(969\) | 1563.96 | − | 10877.6i | 0.0518489 | − | 0.360617i | ||||
\(970\) | −4236.88 | + | 9277.48i | −0.140246 | + | 0.307095i | ||||
\(971\) | 18542.4 | − | 5444.53i | 0.612825 | − | 0.179942i | 0.0394323 | − | 0.999222i | \(-0.487445\pi\) |
0.573393 | + | 0.819281i | \(0.305627\pi\) | |||||||
\(972\) | 5575.85 | + | 12209.4i | 0.183997 | + | 0.402898i | ||||
\(973\) | −1869.74 | − | 2157.79i | −0.0616044 | − | 0.0710952i | ||||
\(974\) | 4789.38 | + | 33310.9i | 0.157558 | + | 1.09584i | ||||
\(975\) | −2874.50 | − | 844.028i | −0.0944180 | − | 0.0277236i | ||||
\(976\) | −8659.60 | + | 9993.71i | −0.284003 | + | 0.327757i | ||||
\(977\) | 18692.5 | + | 12012.9i | 0.612104 | + | 0.393375i | 0.809645 | − | 0.586919i | \(-0.199659\pi\) |
−0.197542 | + | 0.980294i | \(0.563296\pi\) | |||||||
\(978\) | −11616.7 | − | 7465.58i | −0.379816 | − | 0.244093i | ||||
\(979\) | −9420.45 | + | 10871.8i | −0.307537 | + | 0.354917i | ||||
\(980\) | 6033.55 | + | 1771.61i | 0.196668 | + | 0.0577470i | ||||
\(981\) | 2658.47 | + | 18490.1i | 0.0865225 | + | 0.601777i | ||||
\(982\) | 13852.4 | + | 15986.6i | 0.450152 | + | 0.519503i | ||||
\(983\) | 8564.36 | + | 18753.3i | 0.277885 | + | 0.608483i | 0.996187 | − | 0.0872490i | \(-0.0278076\pi\) |
−0.718302 | + | 0.695732i | \(0.755080\pi\) | |||||||
\(984\) | −5758.10 | + | 1690.73i | −0.186546 | + | 0.0547750i | ||||
\(985\) | −3729.86 | + | 8167.26i | −0.120653 | + | 0.264194i | ||||
\(986\) | −124.772 | + | 867.806i | −0.00402996 | + | 0.0280290i | ||||
\(987\) | 4500.43 | − | 2892.25i | 0.145137 | − | 0.0932738i | ||||
\(988\) | 18984.7 | 0.611319 | ||||||||
\(989\) | −40049.0 | − | 26588.0i | −1.28765 | − | 0.854852i | ||||
\(990\) | −5743.15 | −0.184373 | ||||||||
\(991\) | −33587.4 | + | 21585.3i | −1.07663 | + | 0.691906i | −0.953776 | − | 0.300519i | \(-0.902840\pi\) |
−0.122852 | + | 0.992425i | \(0.539204\pi\) | |||||||
\(992\) | 358.303 | − | 2492.05i | 0.0114679 | − | 0.0797608i | ||||
\(993\) | −8172.17 | + | 17894.6i | −0.261164 | + | 0.571870i | ||||
\(994\) | −3651.76 | + | 1072.25i | −0.116526 | + | 0.0342151i | ||||
\(995\) | 3622.47 | + | 7932.11i | 0.115417 | + | 0.252728i | ||||
\(996\) | −748.435 | − | 863.740i | −0.0238103 | − | 0.0274785i | ||||
\(997\) | 6232.24 | + | 43346.2i | 0.197971 | + | 1.37692i | 0.810161 | + | 0.586208i | \(0.199380\pi\) |
−0.612190 | + | 0.790711i | \(0.709711\pi\) | |||||||
\(998\) | −20754.7 | − | 6094.13i | −0.658295 | − | 0.193293i | ||||
\(999\) | 17681.6 | − | 20405.6i | 0.559980 | − | 0.646252i |
(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 | 230.4.g.b.81.3 | yes | 60 | |
23.2 | even | 11 | inner | 230.4.g.b.71.3 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.4.g.b.71.3 | ✓ | 60 | 23.2 | even | 11 | inner | |
230.4.g.b.81.3 | yes | 60 | 1.1 | even | 1 | trivial |