Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,4,Mod(2,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.19520055060\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.19 | ||
Character | \(\chi\) | \(=\) | 105.2 |
Dual form | 105.4.x.a.53.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.212644 | − | 0.793597i | −0.0751809 | − | 0.280579i | 0.918093 | − | 0.396364i | \(-0.129728\pi\) |
−0.993274 | + | 0.115785i | \(0.963062\pi\) | |||||||
\(3\) | 5.02395 | − | 1.32663i | 0.966859 | − | 0.255310i | ||||
\(4\) | 6.34362 | − | 3.66249i | 0.792953 | − | 0.457812i | ||||
\(5\) | 10.8037 | − | 2.87737i | 0.966316 | − | 0.257360i | ||||
\(6\) | −2.12112 | − | 3.70489i | −0.144324 | − | 0.252086i | ||||
\(7\) | 4.51416 | + | 17.9617i | 0.243742 | + | 0.969840i | ||||
\(8\) | −8.90311 | − | 8.90311i | −0.393465 | − | 0.393465i | ||||
\(9\) | 23.4801 | − | 13.3299i | 0.869633 | − | 0.493698i | ||||
\(10\) | −4.58082 | − | 7.96196i | −0.144858 | − | 0.251779i | ||||
\(11\) | −36.3672 | + | 20.9966i | −0.996830 | + | 0.575520i | −0.907309 | − | 0.420465i | \(-0.861867\pi\) |
−0.0895211 | + | 0.995985i | \(0.528534\pi\) | |||||||
\(12\) | 27.0113 | − | 26.8158i | 0.649790 | − | 0.645089i | ||||
\(13\) | −35.7320 | + | 35.7320i | −0.762329 | + | 0.762329i | −0.976743 | − | 0.214414i | \(-0.931216\pi\) |
0.214414 | + | 0.976743i | \(0.431216\pi\) | |||||||
\(14\) | 13.2944 | − | 7.40187i | 0.253792 | − | 0.141302i | ||||
\(15\) | 50.4602 | − | 28.7883i | 0.868584 | − | 0.495541i | ||||
\(16\) | 24.1277 | − | 41.7903i | 0.376995 | − | 0.652974i | ||||
\(17\) | −43.2578 | − | 11.5909i | −0.617151 | − | 0.165365i | −0.0633185 | − | 0.997993i | \(-0.520168\pi\) |
−0.553832 | + | 0.832628i | \(0.686835\pi\) | |||||||
\(18\) | −15.5714 | − | 15.7992i | −0.203901 | − | 0.206884i | ||||
\(19\) | −14.4788 | − | 8.35932i | −0.174824 | − | 0.100935i | 0.410035 | − | 0.912070i | \(-0.365517\pi\) |
−0.584859 | + | 0.811135i | \(0.698850\pi\) | |||||||
\(20\) | 57.9965 | − | 57.8216i | 0.648421 | − | 0.646465i | ||||
\(21\) | 46.5075 | + | 84.2500i | 0.483274 | + | 0.875469i | ||||
\(22\) | 24.3961 | + | 24.3961i | 0.236421 | + | 0.236421i | ||||
\(23\) | 62.4977 | − | 16.7462i | 0.566594 | − | 0.151818i | 0.0358601 | − | 0.999357i | \(-0.488583\pi\) |
0.530734 | + | 0.847538i | \(0.321916\pi\) | |||||||
\(24\) | −56.5399 | − | 32.9176i | −0.480881 | − | 0.279970i | ||||
\(25\) | 108.441 | − | 62.1727i | 0.867532 | − | 0.497382i | ||||
\(26\) | 35.9550 | + | 20.7586i | 0.271206 | + | 0.156581i | ||||
\(27\) | 100.279 | − | 98.1179i | 0.714766 | − | 0.699363i | ||||
\(28\) | 94.4207 | + | 97.4091i | 0.637280 | + | 0.657450i | ||||
\(29\) | −159.202 | −1.01942 | −0.509710 | − | 0.860347i | \(-0.670247\pi\) | ||||
−0.509710 | + | 0.860347i | \(0.670247\pi\) | |||||||
\(30\) | −33.5764 | − | 33.9234i | −0.204339 | − | 0.206451i | ||||
\(31\) | −101.058 | − | 175.037i | −0.585501 | − | 1.01412i | −0.994813 | − | 0.101723i | \(-0.967564\pi\) |
0.409311 | − | 0.912395i | \(-0.365769\pi\) | |||||||
\(32\) | −135.590 | − | 36.3313i | −0.749037 | − | 0.200704i | ||||
\(33\) | −154.852 | + | 153.732i | −0.816858 | + | 0.810948i | ||||
\(34\) | 36.7940i | 0.185592i | ||||||||
\(35\) | 100.452 | + | 181.064i | 0.485129 | + | 0.874442i | ||||
\(36\) | 100.128 | − | 170.555i | 0.463557 | − | 0.789608i | ||||
\(37\) | −160.362 | + | 42.9689i | −0.712523 | + | 0.190920i | −0.596833 | − | 0.802365i | \(-0.703575\pi\) |
−0.115690 | + | 0.993285i | \(0.536908\pi\) | |||||||
\(38\) | −3.55511 | + | 13.2679i | −0.0151767 | + | 0.0566403i | ||||
\(39\) | −132.112 | + | 226.919i | −0.542434 | + | 0.931695i | ||||
\(40\) | −121.804 | − | 70.5693i | −0.481474 | − | 0.278950i | ||||
\(41\) | 386.741i | 1.47314i | 0.676360 | + | 0.736571i | \(0.263556\pi\) | ||||
−0.676360 | + | 0.736571i | \(0.736444\pi\) | |||||||
\(42\) | 56.9710 | − | 54.8234i | 0.209305 | − | 0.201415i | ||||
\(43\) | 231.567 | − | 231.567i | 0.821246 | − | 0.821246i | −0.165040 | − | 0.986287i | \(-0.552775\pi\) |
0.986287 | + | 0.165040i | \(0.0527755\pi\) | |||||||
\(44\) | −153.800 | + | 266.389i | −0.526960 | + | 0.912721i | ||||
\(45\) | 215.318 | − | 211.573i | 0.713282 | − | 0.700877i | ||||
\(46\) | −26.5795 | − | 46.0370i | −0.0851942 | − | 0.147561i | ||||
\(47\) | 90.3055 | + | 337.025i | 0.280264 | + | 1.04596i | 0.952231 | + | 0.305379i | \(0.0987831\pi\) |
−0.671967 | + | 0.740581i | \(0.734550\pi\) | |||||||
\(48\) | 65.7757 | − | 241.961i | 0.197790 | − | 0.727584i | ||||
\(49\) | −302.245 | + | 162.164i | −0.881180 | + | 0.472781i | ||||
\(50\) | −72.3995 | − | 72.8382i | −0.204777 | − | 0.206018i | ||||
\(51\) | −232.702 | − | 0.844857i | −0.638917 | − | 0.00231968i | ||||
\(52\) | −95.8022 | + | 357.539i | −0.255488 | + | 0.953494i | ||||
\(53\) | −103.768 | + | 387.266i | −0.268935 | + | 1.00368i | 0.690862 | + | 0.722986i | \(0.257231\pi\) |
−0.959797 | + | 0.280694i | \(0.909436\pi\) | |||||||
\(54\) | −99.1898 | − | 58.7169i | −0.249963 | − | 0.147970i | ||||
\(55\) | −332.487 | + | 331.484i | −0.815137 | + | 0.812678i | ||||
\(56\) | 119.725 | − | 200.105i | 0.285695 | − | 0.477503i | ||||
\(57\) | −83.8303 | − | 22.7888i | −0.194800 | − | 0.0529552i | ||||
\(58\) | 33.8534 | + | 126.343i | 0.0766409 | + | 0.286028i | ||||
\(59\) | −304.751 | − | 527.843i | −0.672460 | − | 1.16473i | −0.977204 | − | 0.212301i | \(-0.931904\pi\) |
0.304744 | − | 0.952434i | \(-0.401429\pi\) | |||||||
\(60\) | 214.663 | − | 367.433i | 0.461882 | − | 0.790589i | ||||
\(61\) | 177.870 | − | 308.079i | 0.373342 | − | 0.646648i | −0.616735 | − | 0.787171i | \(-0.711545\pi\) |
0.990077 | + | 0.140523i | \(0.0448783\pi\) | |||||||
\(62\) | −117.420 | + | 117.420i | −0.240522 | + | 0.240522i | ||||
\(63\) | 345.420 | + | 361.569i | 0.690775 | + | 0.723070i | ||||
\(64\) | − | 270.713i | − | 0.528736i | ||||||
\(65\) | −283.225 | + | 488.853i | −0.540457 | + | 0.932843i | ||||
\(66\) | 154.930 | + | 90.2002i | 0.288947 | + | 0.168225i | ||||
\(67\) | −4.36445 | + | 16.2884i | −0.00795825 | + | 0.0297006i | −0.969791 | − | 0.243938i | \(-0.921561\pi\) |
0.961833 | + | 0.273639i | \(0.0882273\pi\) | |||||||
\(68\) | −316.863 | + | 84.9031i | −0.565077 | + | 0.151412i | ||||
\(69\) | 291.769 | − | 167.043i | 0.509056 | − | 0.291445i | ||||
\(70\) | 122.332 | − | 118.221i | 0.208878 | − | 0.201859i | ||||
\(71\) | − | 38.2179i | − | 0.0638821i | −0.999490 | − | 0.0319410i | \(-0.989831\pi\) | ||
0.999490 | − | 0.0319410i | \(-0.0101689\pi\) | |||||||
\(72\) | −327.723 | − | 90.3686i | −0.536424 | − | 0.147917i | ||||
\(73\) | 1017.83 | + | 272.726i | 1.63188 | + | 0.437262i | 0.954462 | − | 0.298332i | \(-0.0964302\pi\) |
0.677423 | + | 0.735594i | \(0.263097\pi\) | |||||||
\(74\) | 68.2000 | + | 118.126i | 0.107136 | + | 0.185566i | ||||
\(75\) | 462.324 | − | 456.214i | 0.711794 | − | 0.702388i | ||||
\(76\) | −122.464 | −0.184836 | ||||||||
\(77\) | −541.302 | − | 558.435i | −0.801132 | − | 0.826487i | ||||
\(78\) | 208.175 | + | 56.5912i | 0.302195 | + | 0.0821499i | ||||
\(79\) | −206.647 | − | 119.308i | −0.294299 | − | 0.169914i | 0.345580 | − | 0.938389i | \(-0.387682\pi\) |
−0.639879 | + | 0.768476i | \(0.721016\pi\) | |||||||
\(80\) | 140.423 | − | 520.916i | 0.196247 | − | 0.728002i | ||||
\(81\) | 373.630 | − | 625.973i | 0.512524 | − | 0.858673i | ||||
\(82\) | 306.917 | − | 82.2381i | 0.413333 | − | 0.110752i | ||||
\(83\) | 783.711 | + | 783.711i | 1.03643 | + | 1.03643i | 0.999311 | + | 0.0371156i | \(0.0118170\pi\) |
0.0371156 | + | 0.999311i | \(0.488183\pi\) | |||||||
\(84\) | 603.591 | + | 364.117i | 0.784014 | + | 0.472957i | ||||
\(85\) | −500.697 | − | 0.756243i | −0.638921 | − | 0.000965012i | ||||
\(86\) | −233.012 | − | 134.530i | −0.292167 | − | 0.168682i | ||||
\(87\) | −799.825 | + | 211.203i | −0.985635 | + | 0.260268i | ||||
\(88\) | 510.716 | + | 136.846i | 0.618665 | + | 0.165771i | ||||
\(89\) | 448.039 | − | 776.027i | 0.533619 | − | 0.924255i | −0.465610 | − | 0.884990i | \(-0.654165\pi\) |
0.999229 | − | 0.0392649i | \(-0.0125016\pi\) | |||||||
\(90\) | −213.690 | − | 125.886i | −0.250277 | − | 0.147439i | ||||
\(91\) | −803.107 | − | 480.507i | −0.925148 | − | 0.553526i | ||||
\(92\) | 335.129 | − | 335.129i | 0.379778 | − | 0.379778i | ||||
\(93\) | −739.920 | − | 745.312i | −0.825012 | − | 0.831025i | ||||
\(94\) | 248.259 | − | 143.332i | 0.272404 | − | 0.157272i | ||||
\(95\) | −180.478 | − | 48.6511i | −0.194912 | − | 0.0525421i | ||||
\(96\) | −729.396 | − | 2.64818i | −0.775455 | − | 0.00281540i | ||||
\(97\) | 569.267 | + | 569.267i | 0.595880 | + | 0.595880i | 0.939213 | − | 0.343334i | \(-0.111556\pi\) |
−0.343334 | + | 0.939213i | \(0.611556\pi\) | |||||||
\(98\) | 192.963 | + | 205.377i | 0.198900 | + | 0.211696i | ||||
\(99\) | −574.024 | + | 977.773i | −0.582743 | + | 0.992625i | ||||
\(100\) | 460.205 | − | 791.566i | 0.460205 | − | 0.791566i | ||||
\(101\) | 1369.68 | − | 790.784i | 1.34939 | − | 0.779069i | 0.361224 | − | 0.932479i | \(-0.382359\pi\) |
0.988163 | + | 0.153410i | \(0.0490256\pi\) | |||||||
\(102\) | 48.8121 | + | 184.851i | 0.0473835 | + | 0.179441i | ||||
\(103\) | 268.902 | + | 1003.56i | 0.257240 | + | 0.960033i | 0.966830 | + | 0.255419i | \(0.0822134\pi\) |
−0.709590 | + | 0.704615i | \(0.751120\pi\) | |||||||
\(104\) | 636.251 | 0.599900 | ||||||||
\(105\) | 744.873 | + | 776.395i | 0.692306 | + | 0.721604i | ||||
\(106\) | 329.399 | 0.301830 | ||||||||
\(107\) | −42.6284 | − | 159.091i | −0.0385144 | − | 0.143738i | 0.943991 | − | 0.329970i | \(-0.107039\pi\) |
−0.982506 | + | 0.186233i | \(0.940372\pi\) | |||||||
\(108\) | 276.776 | − | 989.694i | 0.246600 | − | 0.881791i | ||||
\(109\) | −1396.54 | + | 806.290i | −1.22719 | + | 0.708519i | −0.966441 | − | 0.256887i | \(-0.917303\pi\) |
−0.260750 | + | 0.965406i | \(0.583970\pi\) | |||||||
\(110\) | 333.766 | + | 193.373i | 0.289303 | + | 0.167612i | ||||
\(111\) | −748.647 | + | 428.615i | −0.640166 | + | 0.366507i | ||||
\(112\) | 859.541 | + | 244.725i | 0.725170 | + | 0.206467i | ||||
\(113\) | −524.716 | − | 524.716i | −0.436824 | − | 0.436824i | 0.454118 | − | 0.890942i | \(-0.349955\pi\) |
−0.890942 | + | 0.454118i | \(0.849955\pi\) | |||||||
\(114\) | −0.259131 | + | 71.3734i | −0.000212893 | + | 0.0586380i | ||||
\(115\) | 627.024 | − | 360.751i | 0.508437 | − | 0.292523i | ||||
\(116\) | −1009.92 | + | 583.078i | −0.808351 | + | 0.466702i | ||||
\(117\) | −362.688 | + | 1315.29i | −0.286586 | + | 1.03931i | ||||
\(118\) | −354.092 | + | 354.092i | −0.276244 | + | 0.276244i | ||||
\(119\) | 12.9193 | − | 829.307i | 0.00995219 | − | 0.638844i | ||||
\(120\) | −705.558 | − | 192.947i | −0.536736 | − | 0.146780i | ||||
\(121\) | 216.216 | − | 374.498i | 0.162447 | − | 0.281366i | ||||
\(122\) | −282.314 | − | 75.6458i | −0.209504 | − | 0.0561365i | ||||
\(123\) | 513.063 | + | 1942.97i | 0.376108 | + | 1.42432i | ||||
\(124\) | −1282.15 | − | 740.248i | −0.928550 | − | 0.536099i | ||||
\(125\) | 992.679 | − | 983.724i | 0.710304 | − | 0.703896i | ||||
\(126\) | 213.489 | − | 351.010i | 0.150945 | − | 0.248178i | ||||
\(127\) | −761.790 | − | 761.790i | −0.532267 | − | 0.532267i | 0.388979 | − | 0.921246i | \(-0.372828\pi\) |
−0.921246 | + | 0.388979i | \(0.872828\pi\) | |||||||
\(128\) | −1299.56 | + | 348.216i | −0.897389 | + | 0.240455i | ||||
\(129\) | 856.175 | − | 1470.58i | 0.584357 | − | 1.00370i | ||||
\(130\) | 448.179 | + | 120.815i | 0.302368 | + | 0.0815090i | ||||
\(131\) | −156.855 | − | 90.5600i | −0.104614 | − | 0.0603990i | 0.446780 | − | 0.894644i | \(-0.352571\pi\) |
−0.551394 | + | 0.834245i | \(0.685904\pi\) | |||||||
\(132\) | −419.282 | + | 1542.36i | −0.276469 | + | 1.01701i | ||||
\(133\) | 84.7880 | − | 297.798i | 0.0552786 | − | 0.194153i | ||||
\(134\) | 13.8545 | 0.00893167 | ||||||||
\(135\) | 801.066 | − | 1348.58i | 0.510702 | − | 0.859758i | ||||
\(136\) | 281.934 | + | 488.324i | 0.177762 | + | 0.307893i | ||||
\(137\) | 1269.16 | + | 340.070i | 0.791470 | + | 0.212074i | 0.631836 | − | 0.775102i | \(-0.282302\pi\) |
0.159634 | + | 0.987176i | \(0.448968\pi\) | |||||||
\(138\) | −194.608 | − | 196.026i | −0.120045 | − | 0.120919i | ||||
\(139\) | − | 602.119i | − | 0.367418i | −0.982981 | − | 0.183709i | \(-0.941190\pi\) | ||
0.982981 | − | 0.183709i | \(-0.0588103\pi\) | |||||||
\(140\) | 1300.38 | + | 780.699i | 0.785015 | + | 0.471294i | ||||
\(141\) | 900.798 | + | 1573.39i | 0.538020 | + | 0.939742i | ||||
\(142\) | −30.3296 | + | 8.12679i | −0.0179240 | + | 0.00480271i | ||||
\(143\) | 549.222 | − | 2049.72i | 0.321177 | − | 1.19865i | ||||
\(144\) | 9.46055 | − | 1302.86i | 0.00547486 | − | 0.753969i | ||||
\(145\) | −1719.98 | + | 458.084i | −0.985081 | + | 0.262358i | ||||
\(146\) | − | 865.738i | − | 0.490746i | ||||||
\(147\) | −1303.33 | + | 1215.67i | −0.731271 | + | 0.682087i | ||||
\(148\) | −859.903 | + | 859.903i | −0.477592 | + | 0.477592i | ||||
\(149\) | −1608.31 | + | 2785.68i | −0.884281 | + | 1.53162i | −0.0377462 | + | 0.999287i | \(0.512018\pi\) |
−0.846535 | + | 0.532333i | \(0.821315\pi\) | |||||||
\(150\) | −460.361 | − | 269.888i | −0.250589 | − | 0.146908i | ||||
\(151\) | −34.5817 | − | 59.8973i | −0.0186372 | − | 0.0322806i | 0.856556 | − | 0.516053i | \(-0.172599\pi\) |
−0.875194 | + | 0.483773i | \(0.839266\pi\) | |||||||
\(152\) | 54.4821 | + | 203.330i | 0.0290729 | + | 0.108501i | ||||
\(153\) | −1170.20 | + | 304.465i | −0.618335 | + | 0.160879i | ||||
\(154\) | −328.068 | + | 548.324i | −0.171665 | + | 0.286917i | ||||
\(155\) | −1595.45 | − | 1600.28i | −0.826772 | − | 0.829274i | ||||
\(156\) | −6.98299 | + | 1923.35i | −0.00358389 | + | 0.987123i | ||||
\(157\) | −196.714 | + | 734.145i | −0.0999966 | + | 0.373192i | −0.997730 | − | 0.0673477i | \(-0.978546\pi\) |
0.897733 | + | 0.440540i | \(0.145213\pi\) | |||||||
\(158\) | −50.7401 | + | 189.365i | −0.0255485 | + | 0.0953484i | ||||
\(159\) | −7.56359 | + | 2083.26i | −0.00377253 | + | 1.03908i | ||||
\(160\) | −1569.42 | − | 2.37042i | −0.775460 | − | 0.00117124i | ||||
\(161\) | 582.915 | + | 1046.97i | 0.285342 | + | 0.512501i | ||||
\(162\) | −576.220 | − | 163.402i | −0.279458 | − | 0.0792476i | ||||
\(163\) | −562.417 | − | 2098.97i | −0.270257 | − | 1.00861i | −0.958953 | − | 0.283563i | \(-0.908483\pi\) |
0.688696 | − | 0.725050i | \(-0.258183\pi\) | |||||||
\(164\) | 1416.44 | + | 2453.34i | 0.674421 | + | 1.16813i | ||||
\(165\) | −1230.64 | + | 2106.45i | −0.580637 | + | 0.993858i | ||||
\(166\) | 455.299 | − | 788.602i | 0.212880 | − | 0.368719i | ||||
\(167\) | 1622.86 | − | 1622.86i | 0.751982 | − | 0.751982i | −0.222867 | − | 0.974849i | \(-0.571541\pi\) |
0.974849 | + | 0.222867i | \(0.0715414\pi\) | |||||||
\(168\) | 336.025 | − | 1164.15i | 0.154315 | − | 0.534618i | ||||
\(169\) | − | 356.551i | − | 0.162290i | ||||||
\(170\) | 105.870 | + | 397.513i | 0.0477639 | + | 0.179340i | ||||
\(171\) | −451.391 | − | 3.27772i | −0.201864 | − | 0.00146581i | ||||
\(172\) | 620.861 | − | 2317.08i | 0.275234 | − | 1.02719i | ||||
\(173\) | −1074.10 | + | 287.805i | −0.472038 | + | 0.126482i | −0.486993 | − | 0.873406i | \(-0.661906\pi\) |
0.0149547 | + | 0.999888i | \(0.495240\pi\) | |||||||
\(174\) | 337.688 | + | 589.828i | 0.147127 | + | 0.256981i | ||||
\(175\) | 1606.25 | + | 1667.13i | 0.693835 | + | 0.720134i | ||||
\(176\) | 2026.40i | 0.867872i | ||||||||
\(177\) | −2231.30 | − | 2247.57i | −0.947543 | − | 0.954449i | ||||
\(178\) | −711.126 | − | 190.546i | −0.299445 | − | 0.0802359i | ||||
\(179\) | −1608.61 | − | 2786.20i | −0.671696 | − | 1.16341i | −0.977423 | − | 0.211292i | \(-0.932233\pi\) |
0.305728 | − | 0.952119i | \(-0.401100\pi\) | |||||||
\(180\) | 591.010 | − | 2130.74i | 0.244729 | − | 0.882311i | ||||
\(181\) | 3642.53 | 1.49584 | 0.747921 | − | 0.663788i | \(-0.231052\pi\) | ||||
0.747921 | + | 0.663788i | \(0.231052\pi\) | |||||||
\(182\) | −210.553 | + | 739.520i | −0.0857541 | + | 0.301192i | ||||
\(183\) | 484.900 | − | 1783.74i | 0.195874 | − | 0.720536i | ||||
\(184\) | −705.517 | − | 407.330i | −0.282671 | − | 0.163200i | ||||
\(185\) | −1608.87 | + | 925.645i | −0.639387 | + | 0.367864i | ||||
\(186\) | −434.139 | + | 745.685i | −0.171143 | + | 0.293958i | ||||
\(187\) | 1816.54 | − | 486.739i | 0.710365 | − | 0.190342i | ||||
\(188\) | 1807.22 | + | 1807.22i | 0.701089 | + | 0.701089i | ||||
\(189\) | 2215.04 | + | 1358.26i | 0.852489 | + | 0.522745i | ||||
\(190\) | −0.231952 | + | 153.572i | −8.85660e−5 | + | 0.0586383i | ||||
\(191\) | −1748.09 | − | 1009.26i | −0.662238 | − | 0.382343i | 0.130891 | − | 0.991397i | \(-0.458216\pi\) |
−0.793129 | + | 0.609053i | \(0.791550\pi\) | |||||||
\(192\) | −359.136 | − | 1360.05i | −0.134992 | − | 0.511213i | ||||
\(193\) | −3269.37 | − | 876.026i | −1.21935 | − | 0.326724i | −0.408926 | − | 0.912568i | \(-0.634097\pi\) |
−0.810424 | + | 0.585844i | \(0.800763\pi\) | |||||||
\(194\) | 330.718 | − | 572.820i | 0.122393 | − | 0.211990i | ||||
\(195\) | −774.379 | + | 2831.71i | −0.284382 | + | 1.03991i | ||||
\(196\) | −1323.40 | + | 2135.68i | −0.482289 | + | 0.778308i | ||||
\(197\) | 2403.13 | − | 2403.13i | 0.869118 | − | 0.869118i | −0.123257 | − | 0.992375i | \(-0.539334\pi\) |
0.992375 | + | 0.123257i | \(0.0393339\pi\) | |||||||
\(198\) | 898.020 | + | 247.626i | 0.322321 | + | 0.0888790i | ||||
\(199\) | 1551.01 | − | 895.479i | 0.552505 | − | 0.318989i | −0.197627 | − | 0.980277i | \(-0.563323\pi\) |
0.750132 | + | 0.661288i | \(0.229990\pi\) | |||||||
\(200\) | −1519.00 | − | 411.936i | −0.537046 | − | 0.145641i | ||||
\(201\) | −0.318124 | + | 87.6219i | −0.000111635 | + | 0.0307481i | ||||
\(202\) | −918.817 | − | 918.817i | −0.320038 | − | 0.320038i | ||||
\(203\) | −718.666 | − | 2859.55i | −0.248475 | − | 0.988674i | ||||
\(204\) | −1479.27 | + | 846.909i | −0.507693 | + | 0.290664i | ||||
\(205\) | 1112.80 | + | 4178.25i | 0.379128 | + | 1.42352i | ||||
\(206\) | 739.240 | − | 426.800i | 0.250026 | − | 0.144352i | ||||
\(207\) | 1244.23 | − | 1226.29i | 0.417777 | − | 0.411753i | ||||
\(208\) | 631.122 | + | 2355.38i | 0.210387 | + | 0.785174i | ||||
\(209\) | 702.070 | 0.232360 | ||||||||
\(210\) | 457.753 | − | 756.225i | 0.150419 | − | 0.248497i | ||||
\(211\) | 3789.41 | 1.23637 | 0.618185 | − | 0.786033i | \(-0.287868\pi\) | ||||
0.618185 | + | 0.786033i | \(0.287868\pi\) | |||||||
\(212\) | 760.096 | + | 2836.72i | 0.246243 | + | 0.918993i | ||||
\(213\) | −50.7010 | − | 192.005i | −0.0163098 | − | 0.0617650i | ||||
\(214\) | −117.190 | + | 67.6595i | −0.0374342 | + | 0.0216127i | ||||
\(215\) | 1835.48 | − | 3168.09i | 0.582227 | − | 1.00494i | ||||
\(216\) | −1766.35 | − | 19.2396i | −0.556411 | − | 0.00606060i | ||||
\(217\) | 2687.78 | − | 2605.32i | 0.840821 | − | 0.815026i | ||||
\(218\) | 936.834 | + | 936.834i | 0.291057 | + | 0.291057i | ||||
\(219\) | 5475.31 | + | 19.8789i | 1.68944 | + | 0.00613375i | ||||
\(220\) | −895.114 | + | 3320.54i | −0.274312 | + | 1.01759i | ||||
\(221\) | 1959.85 | − | 1131.52i | 0.596534 | − | 0.344409i | ||||
\(222\) | 499.343 | + | 502.982i | 0.150963 | + | 0.152063i | ||||
\(223\) | 645.045 | − | 645.045i | 0.193701 | − | 0.193701i | −0.603592 | − | 0.797293i | \(-0.706264\pi\) |
0.797293 | + | 0.603592i | \(0.206264\pi\) | |||||||
\(224\) | 40.4951 | − | 2599.44i | 0.0120790 | − | 0.775366i | ||||
\(225\) | 1717.46 | − | 2905.33i | 0.508878 | − | 0.860839i | ||||
\(226\) | −304.835 | + | 527.990i | −0.0897228 | + | 0.155404i | ||||
\(227\) | −3473.70 | − | 930.775i | −1.01567 | − | 0.272149i | −0.287675 | − | 0.957728i | \(-0.592882\pi\) |
−0.727998 | + | 0.685580i | \(0.759549\pi\) | |||||||
\(228\) | −615.251 | + | 162.464i | −0.178711 | + | 0.0471906i | ||||
\(229\) | −1407.32 | − | 812.518i | −0.406107 | − | 0.234466i | 0.283009 | − | 0.959117i | \(-0.408668\pi\) |
−0.689116 | + | 0.724651i | \(0.742001\pi\) | |||||||
\(230\) | −419.623 | − | 420.893i | −0.120301 | − | 0.120665i | ||||
\(231\) | −3460.31 | − | 2087.44i | −0.985592 | − | 0.594560i | ||||
\(232\) | 1417.40 | + | 1417.40i | 0.401106 | + | 0.401106i | ||||
\(233\) | 5095.30 | − | 1365.28i | 1.43264 | − | 0.383874i | 0.542688 | − | 0.839934i | \(-0.317407\pi\) |
0.889949 | + | 0.456060i | \(0.150740\pi\) | |||||||
\(234\) | 1120.94 | + | 8.13955i | 0.313153 | + | 0.00227393i | ||||
\(235\) | 1945.38 | + | 3381.29i | 0.540012 | + | 0.938599i | ||||
\(236\) | −3866.45 | − | 2232.29i | −1.06646 | − | 0.615720i | ||||
\(237\) | −1196.46 | − | 325.251i | −0.327926 | − | 0.0891449i | ||||
\(238\) | −660.883 | + | 166.094i | −0.179994 | + | 0.0452365i | ||||
\(239\) | 876.196 | 0.237140 | 0.118570 | − | 0.992946i | \(-0.462169\pi\) | ||||
0.118570 | + | 0.992946i | \(0.462169\pi\) | |||||||
\(240\) | 14.4121 | − | 2803.34i | 0.00387624 | − | 0.753979i | ||||
\(241\) | −2914.92 | − | 5048.79i | −0.779114 | − | 1.34946i | −0.932453 | − | 0.361291i | \(-0.882336\pi\) |
0.153339 | − | 0.988174i | \(-0.450997\pi\) | |||||||
\(242\) | −343.178 | − | 91.9542i | −0.0911582 | − | 0.0244258i | ||||
\(243\) | 1046.66 | − | 3640.52i | 0.276310 | − | 0.961069i | ||||
\(244\) | − | 2605.79i | − | 0.683682i | ||||||
\(245\) | −2798.77 | + | 2621.65i | −0.729823 | + | 0.683636i | ||||
\(246\) | 1432.83 | − | 820.325i | 0.371358 | − | 0.212610i | ||||
\(247\) | 816.050 | − | 218.660i | 0.210219 | − | 0.0563279i | ||||
\(248\) | −658.648 | + | 2458.11i | −0.168646 | + | 0.629395i | ||||
\(249\) | 4977.02 | + | 2897.63i | 1.26669 | + | 0.737468i | ||||
\(250\) | −991.768 | − | 578.605i | −0.250900 | − | 0.146377i | ||||
\(251\) | 1089.28i | 0.273923i | 0.990576 | + | 0.136961i | \(0.0437336\pi\) | ||||
−0.990576 | + | 0.136961i | \(0.956266\pi\) | |||||||
\(252\) | 3515.46 | + | 1028.56i | 0.878782 | + | 0.257116i | ||||
\(253\) | −1921.25 | + | 1921.25i | −0.477424 | + | 0.477424i | ||||
\(254\) | −442.564 | + | 766.544i | −0.109327 | + | 0.189359i | ||||
\(255\) | −2516.48 | + | 660.442i | −0.617993 | + | 0.162190i | ||||
\(256\) | −530.165 | − | 918.273i | −0.129435 | − | 0.224188i | ||||
\(257\) | 412.775 | + | 1540.50i | 0.100188 | + | 0.373905i | 0.997755 | − | 0.0669725i | \(-0.0213340\pi\) |
−0.897567 | + | 0.440878i | \(0.854667\pi\) | |||||||
\(258\) | −1349.11 | − | 366.748i | −0.325550 | − | 0.0884990i | ||||
\(259\) | −1495.69 | − | 2686.40i | −0.358834 | − | 0.644498i | ||||
\(260\) | −6.25057 | + | 4138.41i | −0.00149094 | + | 0.987128i | ||||
\(261\) | −3738.09 | + | 2122.15i | −0.886521 | + | 0.503286i | ||||
\(262\) | −38.5141 | + | 143.736i | −0.00908170 | + | 0.0338934i | ||||
\(263\) | 783.363 | − | 2923.55i | 0.183666 | − | 0.685452i | −0.811246 | − | 0.584705i | \(-0.801210\pi\) |
0.994912 | − | 0.100747i | \(-0.0321232\pi\) | |||||||
\(264\) | 2747.36 | + | 9.97467i | 0.640485 | + | 0.00232537i | ||||
\(265\) | −6.77027 | + | 4482.50i | −0.00156941 | + | 1.03908i | ||||
\(266\) | −254.362 | − | 3.96256i | −0.0586312 | − | 0.000913383i | ||||
\(267\) | 1221.42 | − | 4493.10i | 0.279962 | − | 1.02986i | ||||
\(268\) | 31.9695 | + | 119.312i | 0.00728676 | + | 0.0271945i | ||||
\(269\) | 3480.31 | + | 6028.07i | 0.788840 | + | 1.36631i | 0.926678 | + | 0.375857i | \(0.122651\pi\) |
−0.137838 | + | 0.990455i | \(0.544015\pi\) | |||||||
\(270\) | −1240.57 | − | 348.956i | −0.279625 | − | 0.0786549i | ||||
\(271\) | −976.514 | + | 1691.37i | −0.218889 | + | 0.379127i | −0.954469 | − | 0.298311i | \(-0.903577\pi\) |
0.735579 | + | 0.677439i | \(0.236910\pi\) | |||||||
\(272\) | −1528.10 | + | 1528.10i | −0.340641 | + | 0.340641i | ||||
\(273\) | −4672.22 | − | 1348.61i | −1.03581 | − | 0.298981i | ||||
\(274\) | − | 1079.51i | − | 0.238014i | ||||||
\(275\) | −2638.30 | + | 4537.95i | −0.578529 | + | 0.995087i | ||||
\(276\) | 1239.08 | − | 2128.26i | 0.270231 | − | 0.464154i | ||||
\(277\) | −952.787 | + | 3555.85i | −0.206669 | + | 0.771301i | 0.782265 | + | 0.622946i | \(0.214064\pi\) |
−0.988934 | + | 0.148355i | \(0.952602\pi\) | |||||||
\(278\) | −477.840 | + | 128.037i | −0.103090 | + | 0.0276228i | ||||
\(279\) | −4706.07 | − | 2762.81i | −1.00984 | − | 0.592850i | ||||
\(280\) | 717.699 | − | 2506.37i | 0.153181 | − | 0.534944i | ||||
\(281\) | 3555.52i | 0.754821i | 0.926046 | + | 0.377410i | \(0.123185\pi\) | ||||
−0.926046 | + | 0.377410i | \(0.876815\pi\) | |||||||
\(282\) | 1057.09 | − | 1049.44i | 0.223223 | − | 0.221608i | ||||
\(283\) | −3103.82 | − | 831.665i | −0.651953 | − | 0.174690i | −0.0823415 | − | 0.996604i | \(-0.526240\pi\) |
−0.569612 | + | 0.821914i | \(0.692906\pi\) | |||||||
\(284\) | −139.973 | − | 242.440i | −0.0292460 | − | 0.0506555i | ||||
\(285\) | −971.252 | − | 4.99325i | −0.201867 | − | 0.00103781i | ||||
\(286\) | −1743.44 | −0.360462 | ||||||||
\(287\) | −6946.52 | + | 1745.81i | −1.42871 | + | 0.359066i | ||||
\(288\) | −3667.96 | + | 954.336i | −0.750475 | + | 0.195260i | ||||
\(289\) | −2517.89 | − | 1453.71i | −0.512496 | − | 0.295890i | ||||
\(290\) | 729.278 | + | 1267.56i | 0.147671 | + | 0.256669i | ||||
\(291\) | 3615.18 | + | 2104.76i | 0.728266 | + | 0.423997i | ||||
\(292\) | 7455.56 | − | 1997.71i | 1.49419 | − | 0.400367i | ||||
\(293\) | −2955.83 | − | 2955.83i | −0.589357 | − | 0.589357i | 0.348100 | − | 0.937457i | \(-0.386827\pi\) |
−0.937457 | + | 0.348100i | \(0.886827\pi\) | |||||||
\(294\) | 1241.90 | + | 775.814i | 0.246357 | + | 0.153899i | ||||
\(295\) | −4811.25 | − | 4825.80i | −0.949565 | − | 0.952437i | ||||
\(296\) | 1810.28 | + | 1045.16i | 0.355474 | + | 0.205233i | ||||
\(297\) | −1586.72 | + | 5673.80i | −0.310003 | + | 1.10851i | ||||
\(298\) | 2552.70 | + | 683.994i | 0.496222 | + | 0.132962i | ||||
\(299\) | −1634.79 | + | 2831.54i | −0.316195 | + | 0.547667i | ||||
\(300\) | 1261.93 | − | 4587.31i | 0.242858 | − | 0.882828i | ||||
\(301\) | 5204.66 | + | 3114.00i | 0.996650 | + | 0.596306i | ||||
\(302\) | −40.1807 | + | 40.1807i | −0.00765610 | + | 0.00765610i | ||||
\(303\) | 5832.11 | − | 5789.92i | 1.10576 | − | 1.09776i | ||||
\(304\) | −698.677 | + | 403.381i | −0.131815 | + | 0.0761036i | ||||
\(305\) | 1035.20 | − | 3840.21i | 0.194345 | − | 0.720949i | ||||
\(306\) | 490.459 | + | 863.927i | 0.0916264 | + | 0.161397i | ||||
\(307\) | −2416.45 | − | 2416.45i | −0.449231 | − | 0.449231i | 0.445868 | − | 0.895099i | \(-0.352895\pi\) |
−0.895099 | + | 0.445868i | \(0.852895\pi\) | |||||||
\(308\) | −5479.08 | − | 1559.98i | −1.01364 | − | 0.288598i | ||||
\(309\) | 2682.30 | + | 4685.08i | 0.493822 | + | 0.862541i | ||||
\(310\) | −930.714 | + | 1606.43i | −0.170519 | + | 0.294321i | ||||
\(311\) | −2136.82 | + | 1233.69i | −0.389608 | + | 0.224940i | −0.681990 | − | 0.731361i | \(-0.738885\pi\) |
0.292382 | + | 0.956301i | \(0.405552\pi\) | |||||||
\(312\) | 3196.49 | − | 844.071i | 0.580019 | − | 0.153161i | ||||
\(313\) | 1228.64 | + | 4585.35i | 0.221875 | + | 0.828050i | 0.983632 | + | 0.180187i | \(0.0576703\pi\) |
−0.761757 | + | 0.647863i | \(0.775663\pi\) | |||||||
\(314\) | 624.446 | 0.112228 | ||||||||
\(315\) | 4772.19 | + | 2912.40i | 0.853595 | + | 0.520936i | ||||
\(316\) | −1747.86 | −0.311154 | ||||||||
\(317\) | 1640.04 | + | 6120.71i | 0.290580 | + | 1.08446i | 0.944665 | + | 0.328037i | \(0.106387\pi\) |
−0.654085 | + | 0.756421i | \(0.726946\pi\) | |||||||
\(318\) | 1654.88 | − | 436.991i | 0.291827 | − | 0.0770604i | ||||
\(319\) | 5789.75 | − | 3342.71i | 1.01619 | − | 0.586696i | ||||
\(320\) | −778.941 | − | 2924.71i | −0.136075 | − | 0.510926i | ||||
\(321\) | −425.218 | − | 742.714i | −0.0739357 | − | 0.129141i | ||||
\(322\) | 706.919 | − | 685.231i | 0.122345 | − | 0.118591i | ||||
\(323\) | 529.427 | + | 529.427i | 0.0912016 | + | 0.0912016i | ||||
\(324\) | 77.5462 | − | 5339.35i | 0.0132967 | − | 0.915527i | ||||
\(325\) | −1653.28 | + | 6096.39i | −0.282176 | + | 1.04051i | ||||
\(326\) | −1546.14 | + | 892.666i | −0.262678 | + | 0.151657i | ||||
\(327\) | −5946.47 | + | 5903.45i | −1.00563 | + | 0.998353i | ||||
\(328\) | 3443.20 | − | 3443.20i | 0.579630 | − | 0.579630i | ||||
\(329\) | −5645.88 | + | 3143.42i | −0.946102 | + | 0.526756i | ||||
\(330\) | 1933.36 | + | 528.709i | 0.322509 | + | 0.0881954i | ||||
\(331\) | 2174.35 | − | 3766.08i | 0.361067 | − | 0.625386i | −0.627070 | − | 0.778963i | \(-0.715746\pi\) |
0.988137 | + | 0.153577i | \(0.0490793\pi\) | |||||||
\(332\) | 7841.90 | + | 2101.23i | 1.29633 | + | 0.347349i | ||||
\(333\) | −3192.55 | + | 3146.52i | −0.525377 | + | 0.517802i | ||||
\(334\) | −1632.99 | − | 942.809i | −0.267525 | − | 0.154456i | ||||
\(335\) | −0.284757 | + | 188.533i | −4.64415e−5 | + | 0.0307483i | ||||
\(336\) | 4642.95 | + | 89.1918i | 0.753850 | + | 0.0144816i | ||||
\(337\) | −2708.79 | − | 2708.79i | −0.437855 | − | 0.437855i | 0.453435 | − | 0.891290i | \(-0.350199\pi\) |
−0.891290 | + | 0.453435i | \(0.850199\pi\) | |||||||
\(338\) | −282.958 | + | 75.8183i | −0.0455351 | + | 0.0122011i | ||||
\(339\) | −3332.25 | − | 1940.04i | −0.533873 | − | 0.310821i | ||||
\(340\) | −3179.01 | + | 1829.00i | −0.507076 | + | 0.291740i | ||||
\(341\) | 7350.39 | + | 4243.75i | 1.16729 | + | 0.673936i | ||||
\(342\) | 93.3843 | + | 358.920i | 0.0147650 | + | 0.0567490i | ||||
\(343\) | −4277.12 | − | 4696.79i | −0.673303 | − | 0.739367i | ||||
\(344\) | −4123.33 | −0.646264 | ||||||||
\(345\) | 2671.55 | − | 2644.22i | 0.416903 | − | 0.412638i | ||||
\(346\) | 456.803 | + | 791.206i | 0.0709765 | + | 0.122935i | ||||
\(347\) | −9097.19 | − | 2437.58i | −1.40739 | − | 0.377108i | −0.526394 | − | 0.850241i | \(-0.676456\pi\) |
−0.880991 | + | 0.473133i | \(0.843123\pi\) | |||||||
\(348\) | −4300.26 | + | 4269.15i | −0.662408 | + | 0.657616i | ||||
\(349\) | 1487.28i | 0.228116i | 0.993474 | + | 0.114058i | \(0.0363850\pi\) | ||||
−0.993474 | + | 0.114058i | \(0.963615\pi\) | |||||||
\(350\) | 981.475 | − | 1629.22i | 0.149892 | − | 0.248816i | ||||
\(351\) | −77.2169 | + | 7089.12i | −0.0117423 | + | 1.07803i | ||||
\(352\) | 5693.87 | − | 1525.67i | 0.862172 | − | 0.231018i | ||||
\(353\) | −2990.62 | + | 11161.2i | −0.450920 | + | 1.68286i | 0.248894 | + | 0.968531i | \(0.419933\pi\) |
−0.699814 | + | 0.714326i | \(0.746734\pi\) | |||||||
\(354\) | −1309.19 | + | 2248.69i | −0.196561 | + | 0.337617i | ||||
\(355\) | −109.967 | − | 412.896i | −0.0164407 | − | 0.0617302i | ||||
\(356\) | − | 6563.76i | − | 0.977188i | ||||||
\(357\) | −1035.28 | − | 4183.53i | −0.153481 | − | 0.620213i | ||||
\(358\) | −1869.06 | + | 1869.06i | −0.275930 | + | 0.275930i | ||||
\(359\) | 4412.19 | − | 7642.14i | 0.648654 | − | 1.12350i | −0.334791 | − | 0.942292i | \(-0.608666\pi\) |
0.983445 | − | 0.181209i | \(-0.0580009\pi\) | |||||||
\(360\) | −3800.66 | − | 33.3388i | −0.556423 | − | 0.00488086i | ||||
\(361\) | −3289.74 | − | 5698.00i | −0.479624 | − | 0.830734i | ||||
\(362\) | −774.562 | − | 2890.70i | −0.112459 | − | 0.419702i | ||||
\(363\) | 589.439 | − | 2168.30i | 0.0852274 | − | 0.313515i | ||||
\(364\) | −6854.46 | − | 106.782i | −0.987010 | − | 0.0153761i | ||||
\(365\) | 11781.1 | + | 17.7939i | 1.68945 | + | 0.00255171i | ||||
\(366\) | −1518.68 | − | 5.51380i | −0.216893 | − | 0.000787462i | ||||
\(367\) | 255.708 | − | 954.316i | 0.0363702 | − | 0.135735i | −0.945354 | − | 0.326047i | \(-0.894283\pi\) |
0.981724 | + | 0.190312i | \(0.0609499\pi\) | |||||||
\(368\) | 808.093 | − | 3015.84i | 0.114469 | − | 0.427206i | ||||
\(369\) | 5155.20 | + | 9080.72i | 0.727288 | + | 1.28109i | ||||
\(370\) | 1076.71 | + | 1079.96i | 0.151285 | + | 0.151742i | ||||
\(371\) | −7424.37 | − | 115.660i | −1.03896 | − | 0.0161854i | ||||
\(372\) | −7423.48 | − | 2018.03i | −1.03465 | − | 0.281263i | ||||
\(373\) | 1713.23 | + | 6393.88i | 0.237823 | + | 0.887567i | 0.976856 | + | 0.213898i | \(0.0686160\pi\) |
−0.739033 | + | 0.673669i | \(0.764717\pi\) | |||||||
\(374\) | −772.550 | − | 1338.10i | −0.106812 | − | 0.185003i | ||||
\(375\) | 3682.13 | − | 6259.10i | 0.507052 | − | 0.861916i | ||||
\(376\) | 2196.57 | − | 3804.57i | 0.301275 | − | 0.521823i | ||||
\(377\) | 5688.62 | − | 5688.62i | 0.777132 | − | 0.777132i | ||||
\(378\) | 606.896 | − | 2046.68i | 0.0825804 | − | 0.278491i | ||||
\(379\) | 13698.5i | 1.85658i | 0.371859 | + | 0.928289i | \(0.378720\pi\) | ||||
−0.371859 | + | 0.928289i | \(0.621280\pi\) | |||||||
\(380\) | −1323.07 | + | 352.374i | −0.178610 | + | 0.0475694i | ||||
\(381\) | −4837.81 | − | 2816.58i | −0.650520 | − | 0.378734i | ||||
\(382\) | −429.226 | + | 1601.89i | −0.0574899 | + | 0.214555i | ||||
\(383\) | 7368.17 | − | 1974.30i | 0.983018 | − | 0.263399i | 0.268703 | − | 0.963223i | \(-0.413405\pi\) |
0.714315 | + | 0.699824i | \(0.246738\pi\) | |||||||
\(384\) | −6066.96 | + | 3473.45i | −0.806259 | + | 0.461599i | ||||
\(385\) | −7454.91 | − | 4475.65i | −0.986851 | − | 0.592469i | ||||
\(386\) | 2780.85i | 0.366687i | ||||||||
\(387\) | 2350.46 | − | 8523.96i | 0.308735 | − | 1.11963i | ||||
\(388\) | 5696.15 | + | 1526.28i | 0.745305 | + | 0.199704i | ||||
\(389\) | −2576.08 | − | 4461.89i | −0.335764 | − | 0.581560i | 0.647867 | − | 0.761753i | \(-0.275661\pi\) |
−0.983631 | + | 0.180193i | \(0.942328\pi\) | |||||||
\(390\) | 2411.90 | + | 12.3997i | 0.313158 | + | 0.00160996i | ||||
\(391\) | −2897.62 | −0.374779 | ||||||||
\(392\) | 4134.68 | + | 1247.15i | 0.532737 | + | 0.160691i | ||||
\(393\) | −908.169 | − | 246.881i | −0.116568 | − | 0.0316882i | ||||
\(394\) | −2418.13 | − | 1396.11i | −0.309197 | − | 0.178515i | ||||
\(395\) | −2575.85 | − | 694.370i | −0.328115 | − | 0.0884495i | ||||
\(396\) | −60.3056 | + | 8304.98i | −0.00765271 | + | 1.05389i | ||||
\(397\) | −13851.0 | + | 3711.36i | −1.75104 | + | 0.469189i | −0.984847 | − | 0.173425i | \(-0.944516\pi\) |
−0.766190 | + | 0.642614i | \(0.777850\pi\) | |||||||
\(398\) | −1040.46 | − | 1040.46i | −0.131039 | − | 0.131039i | ||||
\(399\) | 30.9016 | − | 1608.61i | 0.00387723 | − | 0.201832i | ||||
\(400\) | 18.2209 | − | 6031.89i | 0.00227761 | − | 0.753986i | ||||
\(401\) | 1835.49 | + | 1059.72i | 0.228579 | + | 0.131970i | 0.609916 | − | 0.792466i | \(-0.291203\pi\) |
−0.381337 | + | 0.924436i | \(0.624536\pi\) | |||||||
\(402\) | 69.6041 | − | 18.3798i | 0.00863567 | − | 0.00228035i | ||||
\(403\) | 9865.44 | + | 2643.44i | 1.21944 | + | 0.326747i | ||||
\(404\) | 5792.48 | − | 10032.9i | 0.713333 | − | 1.23553i | ||||
\(405\) | 2235.44 | − | 7837.92i | 0.274272 | − | 0.961652i | ||||
\(406\) | −2116.51 | + | 1178.40i | −0.258720 | + | 0.144046i | ||||
\(407\) | 4929.72 | − | 4929.72i | 0.600386 | − | 0.600386i | ||||
\(408\) | 2064.25 | + | 2079.29i | 0.250479 | + | 0.252304i | ||||
\(409\) | 1348.31 | − | 778.444i | 0.163006 | − | 0.0941115i | −0.416278 | − | 0.909237i | \(-0.636666\pi\) |
0.579284 | + | 0.815126i | \(0.303332\pi\) | |||||||
\(410\) | 3079.22 | − | 1771.59i | 0.370907 | − | 0.213397i | ||||
\(411\) | 6827.32 | + | 24.7876i | 0.819385 | + | 0.00297489i | ||||
\(412\) | 5381.34 | + | 5381.34i | 0.643494 | + | 0.643494i | ||||
\(413\) | 8105.27 | − | 7856.61i | 0.965700 | − | 0.936073i | ||||
\(414\) | −1237.76 | − | 726.653i | −0.146938 | − | 0.0862634i | ||||
\(415\) | 10722.0 | + | 6211.98i | 1.26825 | + | 0.734781i | ||||
\(416\) | 6143.10 | − | 3546.72i | 0.724015 | − | 0.418010i | ||||
\(417\) | −798.790 | − | 3025.01i | −0.0938055 | − | 0.355241i | ||||
\(418\) | −149.291 | − | 557.161i | −0.0174690 | − | 0.0651953i | ||||
\(419\) | 7947.94 | 0.926688 | 0.463344 | − | 0.886179i | \(-0.346649\pi\) | ||||
0.463344 | + | 0.886179i | \(0.346649\pi\) | |||||||
\(420\) | 7568.73 | + | 2197.07i | 0.879325 | + | 0.255252i | ||||
\(421\) | 16800.8 | 1.94494 | 0.972469 | − | 0.233031i | \(-0.0748643\pi\) | ||||
0.972469 | + | 0.233031i | \(0.0748643\pi\) | |||||||
\(422\) | −805.795 | − | 3007.27i | −0.0929514 | − | 0.346899i | ||||
\(423\) | 6612.88 | + | 6709.62i | 0.760116 | + | 0.771236i | ||||
\(424\) | 4371.72 | − | 2524.01i | 0.500730 | − | 0.289097i | ||||
\(425\) | −5411.58 | + | 1432.52i | −0.617647 | + | 0.163500i | ||||
\(426\) | −141.593 | + | 81.0648i | −0.0161038 | + | 0.00921972i | ||||
\(427\) | 6336.56 | + | 1804.12i | 0.718144 | + | 0.204467i | ||||
\(428\) | −853.089 | − | 853.089i | −0.0963449 | − | 0.0963449i | ||||
\(429\) | 40.0326 | − | 11026.3i | 0.00450535 | − | 1.24092i | ||||
\(430\) | −2904.49 | − | 782.960i | −0.325737 | − | 0.0878085i | ||||
\(431\) | 2178.88 | − | 1257.98i | 0.243511 | − | 0.140591i | −0.373279 | − | 0.927719i | \(-0.621766\pi\) |
0.616789 | + | 0.787128i | \(0.288433\pi\) | |||||||
\(432\) | −1680.88 | − | 6558.05i | −0.187203 | − | 0.730380i | ||||
\(433\) | 6032.13 | − | 6032.13i | 0.669482 | − | 0.669482i | −0.288114 | − | 0.957596i | \(-0.593028\pi\) |
0.957596 | + | 0.288114i | \(0.0930282\pi\) | |||||||
\(434\) | −2639.11 | − | 1579.01i | −0.291893 | − | 0.174642i | ||||
\(435\) | −8033.39 | + | 4583.17i | −0.885452 | + | 0.505164i | ||||
\(436\) | −5906.06 | + | 10229.6i | −0.648737 | + | 1.12364i | ||||
\(437\) | −1044.88 | − | 279.974i | −0.114378 | − | 0.0306475i | ||||
\(438\) | −1148.52 | − | 4349.42i | −0.125293 | − | 0.474483i | ||||
\(439\) | 657.119 | + | 379.388i | 0.0714410 | + | 0.0412465i | 0.535295 | − | 0.844665i | \(-0.320200\pi\) |
−0.463854 | + | 0.885912i | \(0.653534\pi\) | |||||||
\(440\) | 5911.40 | + | 8.92846i | 0.640489 | + | 0.000967381i | ||||
\(441\) | −4935.11 | + | 7836.50i | −0.532892 | + | 0.846183i | ||||
\(442\) | −1314.72 | − | 1314.72i | −0.141482 | − | 0.141482i | ||||
\(443\) | −12898.1 | + | 3456.04i | −1.38331 | + | 0.370657i | −0.872323 | − | 0.488930i | \(-0.837387\pi\) |
−0.510989 | + | 0.859587i | \(0.670721\pi\) | |||||||
\(444\) | −3179.33 | + | 5460.88i | −0.339830 | + | 0.583698i | ||||
\(445\) | 2607.58 | − | 9673.17i | 0.277778 | − | 1.03045i | ||||
\(446\) | −649.070 | − | 374.741i | −0.0689111 | − | 0.0397859i | ||||
\(447\) | −4384.50 | + | 16128.7i | −0.463937 | + | 1.70663i | ||||
\(448\) | 4862.46 | − | 1222.04i | 0.512789 | − | 0.128875i | ||||
\(449\) | 214.586 | 0.0225545 | 0.0112772 | − | 0.999936i | \(-0.496410\pi\) | ||||
0.0112772 | + | 0.999936i | \(0.496410\pi\) | |||||||
\(450\) | −2670.87 | − | 745.174i | −0.279791 | − | 0.0780618i | ||||
\(451\) | −8120.26 | − | 14064.7i | −0.847823 | − | 1.46847i | ||||
\(452\) | −5250.37 | − | 1406.83i | −0.546364 | − | 0.146398i | ||||
\(453\) | −253.198 | − | 255.043i | −0.0262611 | − | 0.0264525i | ||||
\(454\) | 2954.64i | 0.305437i | ||||||||
\(455\) | −10059.2 | − | 2880.43i | −1.03644 | − | 0.296784i | ||||
\(456\) | 543.459 | + | 949.241i | 0.0558109 | + | 0.0974830i | ||||
\(457\) | −5653.98 | + | 1514.98i | −0.578735 | + | 0.155072i | −0.536300 | − | 0.844028i | \(-0.680178\pi\) |
−0.0424354 | + | 0.999099i | \(0.513512\pi\) | |||||||
\(458\) | −345.554 | + | 1289.62i | −0.0352548 | + | 0.131573i | ||||
\(459\) | −5475.12 | + | 3082.04i | −0.556769 | + | 0.313415i | ||||
\(460\) | 2656.36 | − | 4584.94i | 0.269246 | − | 0.464725i | ||||
\(461\) | − | 6147.78i | − | 0.621108i | −0.950556 | − | 0.310554i | \(-0.899485\pi\) | ||
0.950556 | − | 0.310554i | \(-0.100515\pi\) | |||||||
\(462\) | −920.771 | + | 3189.97i | −0.0927232 | + | 0.321236i | ||||
\(463\) | −8434.34 | + | 8434.34i | −0.846602 | + | 0.846602i | −0.989707 | − | 0.143105i | \(-0.954291\pi\) |
0.143105 | + | 0.989707i | \(0.454291\pi\) | |||||||
\(464\) | −3841.18 | + | 6653.12i | −0.384315 | + | 0.665654i | ||||
\(465\) | −10138.4 | − | 5923.14i | −1.01109 | − | 0.590707i | ||||
\(466\) | −2166.97 | − | 3753.30i | −0.215414 | − | 0.373108i | ||||
\(467\) | −34.9103 | − | 130.287i | −0.00345922 | − | 0.0129100i | 0.964175 | − | 0.265268i | \(-0.0854605\pi\) |
−0.967634 | + | 0.252358i | \(0.918794\pi\) | |||||||
\(468\) | 2516.49 | + | 9672.07i | 0.248558 | + | 0.955324i | ||||
\(469\) | −312.268 | − | 4.86465i | −0.0307446 | − | 0.000478952i | ||||
\(470\) | 2269.71 | − | 2262.86i | 0.222753 | − | 0.222081i | ||||
\(471\) | −14.3384 | + | 3949.27i | −0.00140272 | + | 0.386355i | ||||
\(472\) | −1986.22 | + | 7412.67i | −0.193693 | + | 0.722873i | ||||
\(473\) | −3559.32 | + | 13283.6i | −0.345999 | + | 1.29129i | ||||
\(474\) | −3.69843 | + | 1018.67i | −0.000358385 | + | 0.0987113i | ||||
\(475\) | −2089.82 | − | 6.31285i | −0.201868 | − | 0.000609797i | ||||
\(476\) | −2955.37 | − | 5308.13i | −0.284578 | − | 0.511129i | ||||
\(477\) | 2725.73 | + | 10476.2i | 0.261640 | + | 1.00561i | ||||
\(478\) | −186.318 | − | 695.347i | −0.0178284 | − | 0.0665365i | ||||
\(479\) | 5160.88 | + | 8938.91i | 0.492290 | + | 0.852671i | 0.999961 | − | 0.00888027i | \(-0.00282671\pi\) |
−0.507671 | + | 0.861551i | \(0.669493\pi\) | |||||||
\(480\) | −7887.83 | + | 2070.13i | −0.750059 | + | 0.196850i | ||||
\(481\) | 4194.69 | − | 7265.42i | 0.397633 | − | 0.688721i | ||||
\(482\) | −3386.86 | + | 3386.86i | −0.320057 | + | 0.320057i | ||||
\(483\) | 4317.48 | + | 4486.60i | 0.406733 | + | 0.422666i | ||||
\(484\) | − | 3167.57i | − | 0.297480i | ||||||
\(485\) | 7788.21 | + | 4512.22i | 0.729163 | + | 0.422452i | ||||
\(486\) | −3111.68 | − | 56.4929i | −0.290429 | − | 0.00527277i | ||||
\(487\) | −4145.60 | + | 15471.6i | −0.385739 | + | 1.43960i | 0.451260 | + | 0.892393i | \(0.350975\pi\) |
−0.836999 | + | 0.547205i | \(0.815692\pi\) | |||||||
\(488\) | −4326.46 | + | 1159.27i | −0.401331 | + | 0.107536i | ||||
\(489\) | −5610.11 | − | 9798.99i | −0.518810 | − | 0.906188i | ||||
\(490\) | 2675.67 | + | 1663.62i | 0.246683 | + | 0.153377i | ||||
\(491\) | − | 18850.4i | − | 1.73260i | −0.499527 | − | 0.866298i | \(-0.666493\pi\) | ||
0.499527 | − | 0.866298i | \(-0.333507\pi\) | |||||||
\(492\) | 10370.8 | + | 10446.4i | 0.950307 | + | 0.957232i | ||||
\(493\) | 6886.75 | + | 1845.30i | 0.629135 | + | 0.168576i | ||||
\(494\) | −347.056 | − | 601.118i | −0.0316089 | − | 0.0547482i | ||||
\(495\) | −3388.19 | + | 12215.3i | −0.307652 | + | 1.10916i | ||||
\(496\) | −9753.16 | −0.882923 | ||||||||
\(497\) | 686.458 | − | 172.522i | 0.0619554 | − | 0.0155707i | ||||
\(498\) | 1241.22 | − | 4565.91i | 0.111687 | − | 0.410850i | ||||
\(499\) | −15111.1 | − | 8724.39i | −1.35564 | − | 0.782680i | −0.366609 | − | 0.930375i | \(-0.619481\pi\) |
−0.989033 | + | 0.147695i | \(0.952815\pi\) | |||||||
\(500\) | 2694.30 | − | 9876.06i | 0.240986 | − | 0.883341i | ||||
\(501\) | 6000.24 | − | 10306.1i | 0.535072 | − | 0.919050i | ||||
\(502\) | 864.448 | − | 231.628i | 0.0768570 | − | 0.0205938i | ||||
\(503\) | 11471.6 | + | 11471.6i | 1.01688 | + | 1.01688i | 0.999855 | + | 0.0170292i | \(0.00542083\pi\) |
0.0170292 | + | 0.999855i | \(0.494579\pi\) | |||||||
\(504\) | 143.779 | − | 6294.40i | 0.0127072 | − | 0.556299i | ||||
\(505\) | 12522.3 | − | 12484.5i | 1.10343 | − | 1.10010i | ||||
\(506\) | 1933.24 | + | 1116.16i | 0.169848 | + | 0.0980619i | ||||
\(507\) | −473.012 | − | 1791.29i | −0.0414343 | − | 0.156911i | ||||
\(508\) | −7622.56 | − | 2042.46i | −0.665741 | − | 0.178385i | ||||
\(509\) | −6171.68 | + | 10689.7i | −0.537436 | + | 0.930867i | 0.461605 | + | 0.887086i | \(0.347274\pi\) |
−0.999041 | + | 0.0437814i | \(0.986059\pi\) | |||||||
\(510\) | 1059.24 | + | 1856.63i | 0.0919684 | + | 0.161202i | ||||
\(511\) | −303.982 | + | 19513.0i | −0.0263158 | + | 1.68925i | ||||
\(512\) | −8226.75 | + | 8226.75i | −0.710106 | + | 0.710106i | ||||
\(513\) | −2272.11 | + | 582.363i | −0.195548 | + | 0.0501208i | ||||
\(514\) | 1134.76 | − | 655.154i | 0.0973777 | − | 0.0562210i | ||||
\(515\) | 5792.76 | + | 10068.4i | 0.495649 | + | 0.861492i | ||||
\(516\) | 45.2544 | − | 12464.6i | 0.00386088 | − | 1.06341i | ||||
\(517\) | −10360.5 | − | 10360.5i | −0.881347 | − | 0.881347i | ||||
\(518\) | −1813.87 | + | 1758.23i | −0.153855 | + | 0.149135i | ||||
\(519\) | −5014.43 | + | 2870.86i | −0.424102 | + | 0.242807i | ||||
\(520\) | 6873.89 | − | 1830.73i | 0.579693 | − | 0.154390i | ||||
\(521\) | 3591.05 | − | 2073.29i | 0.301971 | − | 0.174343i | −0.341357 | − | 0.939934i | \(-0.610887\pi\) |
0.643328 | + | 0.765591i | \(0.277553\pi\) | |||||||
\(522\) | 2479.01 | + | 2515.28i | 0.207861 | + | 0.210902i | ||||
\(523\) | 148.431 | + | 553.950i | 0.0124100 | + | 0.0463147i | 0.971853 | − | 0.235587i | \(-0.0757014\pi\) |
−0.959443 | + | 0.281902i | \(0.909035\pi\) | |||||||
\(524\) | −1326.70 | −0.110605 | ||||||||
\(525\) | 10281.4 | + | 6244.69i | 0.854698 | + | 0.519125i | ||||
\(526\) | −2486.70 | −0.206132 | ||||||||
\(527\) | 2342.70 | + | 8743.09i | 0.193643 | + | 0.722685i | ||||
\(528\) | 2688.28 | + | 10180.5i | 0.221577 | + | 0.839110i | ||||
\(529\) | −6911.41 | + | 3990.30i | −0.568045 | + | 0.327961i | ||||
\(530\) | 3558.74 | − | 947.802i | 0.291663 | − | 0.0776790i | ||||
\(531\) | −14191.6 | − | 8331.53i | −1.15982 | − | 0.680900i | ||||
\(532\) | −552.821 | − | 2199.66i | −0.0450523 | − | 0.179262i | ||||
\(533\) | −13819.0 | − | 13819.0i | −1.12302 | − | 1.12302i | ||||
\(534\) | −3825.44 | − | 13.8888i | −0.310006 | − | 0.00112552i | ||||
\(535\) | −918.310 | − | 1596.12i | −0.0742094 | − | 0.128984i | ||||
\(536\) | 183.874 | − | 106.160i | 0.0148174 | − | 0.00855486i | ||||
\(537\) | −11777.9 | − | 11863.7i | −0.946466 | − | 0.953363i | ||||
\(538\) | 4043.79 | − | 4043.79i | 0.324053 | − | 0.324053i | ||||
\(539\) | 7586.90 | − | 12243.6i | 0.606291 | − | 0.978419i | ||||
\(540\) | 142.494 | − | 11488.8i | 0.0113555 | − | 0.915553i | ||||
\(541\) | −2615.70 | + | 4530.53i | −0.207870 | + | 0.360042i | −0.951043 | − | 0.309057i | \(-0.899987\pi\) |
0.743173 | + | 0.669099i | \(0.233320\pi\) | |||||||
\(542\) | 1549.92 | + | 415.299i | 0.122831 | + | 0.0329126i | ||||
\(543\) | 18299.9 | − | 4832.30i | 1.44627 | − | 0.381904i | ||||
\(544\) | 5444.22 | + | 3143.22i | 0.429079 | + | 0.247729i | ||||
\(545\) | −12767.8 | + | 12729.3i | −1.00351 | + | 1.00048i | ||||
\(546\) | −76.7377 | + | 3994.64i | −0.00601478 | + | 0.313104i | ||||
\(547\) | 5874.72 | + | 5874.72i | 0.459205 | + | 0.459205i | 0.898394 | − | 0.439190i | \(-0.144734\pi\) |
−0.439190 | + | 0.898394i | \(0.644734\pi\) | |||||||
\(548\) | 9296.56 | − | 2491.00i | 0.724688 | − | 0.194180i | ||||
\(549\) | 69.7435 | − | 9604.71i | 0.00542182 | − | 0.746665i | ||||
\(550\) | 4162.33 | + | 1128.78i | 0.322695 | + | 0.0875114i | ||||
\(551\) | 2305.05 | + | 1330.82i | 0.178219 | + | 0.102895i | ||||
\(552\) | −4084.86 | − | 1110.44i | −0.314969 | − | 0.0856226i | ||||
\(553\) | 1210.13 | − | 4250.31i | 0.0930561 | − | 0.326838i | ||||
\(554\) | 3024.52 | 0.231949 | ||||||||
\(555\) | −6854.90 | + | 6784.77i | −0.524278 | + | 0.518915i | ||||
\(556\) | −2205.26 | − | 3819.61i | −0.168208 | − | 0.291345i | ||||
\(557\) | −313.931 | − | 84.1176i | −0.0238810 | − | 0.00639888i | 0.246859 | − | 0.969051i | \(-0.420602\pi\) |
−0.270740 | + | 0.962653i | \(0.587268\pi\) | |||||||
\(558\) | −1191.84 | + | 4322.22i | −0.0904205 | + | 0.327911i | ||||
\(559\) | 16548.7i | 1.25212i | ||||||||
\(560\) | 9990.42 | + | 170.728i | 0.753879 | + | 0.0128832i | ||||
\(561\) | 8480.46 | − | 4855.23i | 0.638227 | − | 0.365397i | ||||
\(562\) | 2821.65 | − | 756.059i | 0.211787 | − | 0.0567481i | ||||
\(563\) | 32.0863 | − | 119.748i | 0.00240192 | − | 0.00896407i | −0.964714 | − | 0.263298i | \(-0.915190\pi\) |
0.967116 | + | 0.254334i | \(0.0818563\pi\) | |||||||
\(564\) | 11476.9 | + | 6681.85i | 0.856850 | + | 0.498859i | ||||
\(565\) | −7178.69 | − | 4159.09i | −0.534531 | − | 0.309689i | ||||
\(566\) | 2640.03i | 0.196058i | ||||||||
\(567\) | 12930.2 | + | 3885.28i | 0.957699 | + | 0.287771i | ||||
\(568\) | −340.258 | + | 340.258i | −0.0251354 | + | 0.0251354i | ||||
\(569\) | −3195.10 | + | 5534.08i | −0.235405 | + | 0.407734i | −0.959390 | − | 0.282082i | \(-0.908975\pi\) |
0.723985 | + | 0.689816i | \(0.242308\pi\) | |||||||
\(570\) | 202.568 | + | 771.845i | 0.0148853 | + | 0.0567176i | ||||
\(571\) | 327.200 | + | 566.728i | 0.0239806 | + | 0.0415356i | 0.877767 | − | 0.479088i | \(-0.159033\pi\) |
−0.853786 | + | 0.520624i | \(0.825699\pi\) | |||||||
\(572\) | −4023.04 | − | 15014.2i | −0.294077 | − | 1.09751i | ||||
\(573\) | −10121.2 | − | 2751.40i | −0.737907 | − | 0.200596i | ||||
\(574\) | 2862.61 | + | 5141.51i | 0.208158 | + | 0.373872i | ||||
\(575\) | 5736.18 | − | 5701.63i | 0.416027 | − | 0.413521i | ||||
\(576\) | −3608.56 | − | 6356.36i | −0.261036 | − | 0.459806i | ||||
\(577\) | 2844.13 | − | 10614.4i | 0.205204 | − | 0.765832i | −0.784183 | − | 0.620529i | \(-0.786918\pi\) |
0.989387 | − | 0.145302i | \(-0.0464155\pi\) | |||||||
\(578\) | −618.243 | + | 2307.32i | −0.0444905 | + | 0.166041i | ||||
\(579\) | −17587.3 | − | 63.8533i | −1.26236 | − | 0.00458316i | ||||
\(580\) | −9233.18 | + | 9205.34i | −0.661012 | + | 0.659019i | ||||
\(581\) | −10539.0 | + | 17614.6i | −0.752548 | + | 1.25779i | ||||
\(582\) | 901.588 | − | 3316.56i | 0.0642131 | − | 0.236213i | ||||
\(583\) | −4357.54 | − | 16262.5i | −0.309555 | − | 1.15528i | ||||
\(584\) | −6633.71 | − | 11489.9i | −0.470043 | − | 0.814138i | ||||
\(585\) | −133.803 | + | 15253.7i | −0.00945653 | + | 1.07805i | ||||
\(586\) | −1717.20 | + | 2974.28i | −0.121053 | + | 0.209670i | ||||
\(587\) | 8930.91 | − | 8930.91i | 0.627970 | − | 0.627970i | −0.319587 | − | 0.947557i | \(-0.603544\pi\) |
0.947557 | + | 0.319587i | \(0.103544\pi\) | |||||||
\(588\) | −3815.45 | + | 12485.2i | −0.267596 | + | 0.875647i | ||||
\(589\) | 3379.10i | 0.236390i | ||||||||
\(590\) | −2806.66 | + | 4844.37i | −0.195845 | + | 0.338033i | ||||
\(591\) | 8885.15 | − | 15261.3i | 0.618420 | − | 1.06221i | ||||
\(592\) | −2073.48 | + | 7738.32i | −0.143952 | + | 0.537235i | ||||
\(593\) | 7443.34 | − | 1994.44i | 0.515449 | − | 0.138114i | 0.00828853 | − | 0.999966i | \(-0.497362\pi\) |
0.507161 | + | 0.861851i | \(0.330695\pi\) | |||||||
\(594\) | 4840.12 | + | 52.7200i | 0.334331 | + | 0.00364163i | ||||
\(595\) | −2246.65 | − | 8996.78i | −0.154796 | − | 0.619886i | ||||
\(596\) | 23561.7i | 1.61934i | ||||||||
\(597\) | 6604.25 | − | 6556.46i | 0.452753 | − | 0.449478i | ||||
\(598\) | 2594.73 | + | 695.257i | 0.177436 | + | 0.0475437i | ||||
\(599\) | −1495.48 | − | 2590.24i | −0.102009 | − | 0.176685i | 0.810503 | − | 0.585734i | \(-0.199194\pi\) |
−0.912512 | + | 0.409049i | \(0.865860\pi\) | |||||||
\(600\) | −8177.84 | − | 54.3948i | −0.556432 | − | 0.00370109i | ||||
\(601\) | 741.724 | 0.0503420 | 0.0251710 | − | 0.999683i | \(-0.491987\pi\) | ||||
0.0251710 | + | 0.999683i | \(0.491987\pi\) | |||||||
\(602\) | 1364.52 | − | 4792.58i | 0.0923818 | − | 0.324470i | ||||
\(603\) | 114.644 | + | 440.630i | 0.00774238 | + | 0.0297576i | ||||
\(604\) | −438.747 | − | 253.310i | −0.0295569 | − | 0.0170647i | ||||
\(605\) | 1258.38 | − | 4668.11i | 0.0845625 | − | 0.313695i | ||||
\(606\) | −5835.02 | − | 3397.16i | −0.391141 | − | 0.227723i | ||||
\(607\) | 665.164 | − | 178.230i | 0.0444780 | − | 0.0119179i | −0.236511 | − | 0.971629i | \(-0.576004\pi\) |
0.280989 | + | 0.959711i | \(0.409337\pi\) | |||||||
\(608\) | 1659.47 | + | 1659.47i | 0.110692 | + | 0.110692i | ||||
\(609\) | −7404.10 | − | 13412.8i | −0.492659 | − | 0.892470i | ||||
\(610\) | −3267.71 | − | 4.93547i | −0.216894 | − | 0.000327593i | ||||
\(611\) | −15269.4 | − | 8815.77i | −1.01102 | − | 0.583712i | ||||
\(612\) | −6308.22 | + | 6217.27i | −0.416658 | + | 0.410651i | ||||
\(613\) | −13373.6 | − | 3583.44i | −0.881163 | − | 0.236107i | −0.210254 | − | 0.977647i | \(-0.567429\pi\) |
−0.670909 | + | 0.741540i | \(0.734096\pi\) | |||||||
\(614\) | −1403.84 | + | 2431.53i | −0.0922712 | + | 0.159818i | ||||
\(615\) | 11133.6 | + | 19515.0i | 0.730002 | + | 1.27955i | ||||
\(616\) | −152.530 | + | 9791.07i | −0.00997661 | + | 0.640412i | ||||
\(617\) | 1918.92 | − | 1918.92i | 0.125207 | − | 0.125207i | −0.641726 | − | 0.766934i | \(-0.721782\pi\) |
0.766934 | + | 0.641726i | \(0.221782\pi\) | |||||||
\(618\) | 3147.70 | − | 3124.92i | 0.204885 | − | 0.203403i | ||||
\(619\) | 15934.6 | − | 9199.83i | 1.03468 | − | 0.597370i | 0.116355 | − | 0.993208i | \(-0.462879\pi\) |
0.918321 | + | 0.395837i | \(0.129546\pi\) | |||||||
\(620\) | −15981.9 | − | 4308.23i | −1.03524 | − | 0.279069i | ||||
\(621\) | 4624.10 | − | 7811.44i | 0.298806 | − | 0.504770i | ||||
\(622\) | 1433.44 | + | 1433.44i | 0.0924045 | + | 0.0924045i | ||||
\(623\) | 15961.3 | + | 4544.43i | 1.02644 | + | 0.292245i | ||||
\(624\) | 6295.45 | + | 10996.0i | 0.403878 | + | 0.705439i | ||||
\(625\) | 7894.11 | − | 13484.2i | 0.505223 | − | 0.862989i | ||||
\(626\) | 3377.66 | − | 1950.09i | 0.215653 | − | 0.124507i | ||||
\(627\) | 3527.16 | − | 931.388i | 0.224659 | − | 0.0593238i | ||||
\(628\) | 1440.92 | + | 5377.61i | 0.0915592 | + | 0.341704i | ||||
\(629\) | 7434.96 | 0.471306 | ||||||||
\(630\) | 1296.49 | − | 4406.50i | 0.0819897 | − | 0.278665i | ||||
\(631\) | 20147.0 | 1.27106 | 0.635529 | − | 0.772077i | \(-0.280782\pi\) | ||||
0.635529 | + | 0.772077i | \(0.280782\pi\) | |||||||
\(632\) | 777.592 | + | 2902.01i | 0.0489414 | + | 0.182652i | ||||
\(633\) | 19037.8 | − | 5027.15i | 1.19539 | − | 0.315658i | ||||
\(634\) | 4508.63 | − | 2603.06i | 0.282430 | − | 0.163061i | ||||
\(635\) | −10422.1 | − | 6038.22i | −0.651322 | − | 0.377354i | ||||
\(636\) | 7581.96 | + | 13243.1i | 0.472711 | + | 0.825668i | ||||
\(637\) | 5005.36 | − | 16594.2i | 0.311334 | − | 1.03216i | ||||
\(638\) | −3883.92 | − | 3883.92i | −0.241013 | − | 0.241013i | ||||
\(639\) | −509.439 | − | 897.359i | −0.0315385 | − | 0.0555540i | ||||
\(640\) | −13038.1 | + | 7501.34i | −0.805278 | + | 0.463307i | ||||
\(641\) | 8351.63 | − | 4821.82i | 0.514617 | − | 0.297114i | −0.220112 | − | 0.975475i | \(-0.570642\pi\) |
0.734730 | + | 0.678360i | \(0.237309\pi\) | |||||||
\(642\) | −498.996 | + | 495.386i | −0.0306757 | + | 0.0304538i | ||||
\(643\) | 1306.96 | − | 1306.96i | 0.0801580 | − | 0.0801580i | −0.665891 | − | 0.746049i | \(-0.731948\pi\) |
0.746049 | + | 0.665891i | \(0.231948\pi\) | |||||||
\(644\) | 7532.31 | + | 4506.66i | 0.460892 | + | 0.275756i | ||||
\(645\) | 5018.48 | − | 18351.3i | 0.306360 | − | 1.12028i | ||||
\(646\) | 307.573 | − | 532.732i | 0.0187326 | − | 0.0324459i | ||||
\(647\) | −15542.5 | − | 4164.59i | −0.944416 | − | 0.253055i | −0.246425 | − | 0.969162i | \(-0.579256\pi\) |
−0.697991 | + | 0.716106i | \(0.745923\pi\) | |||||||
\(648\) | −8899.57 | + | 2246.64i | −0.539518 | + | 0.136198i | ||||
\(649\) | 22165.9 | + | 12797.5i | 1.34066 | + | 0.774028i | ||||
\(650\) | 5189.63 | + | 15.6767i | 0.313160 | + | 0.000945983i | ||||
\(651\) | 10047.0 | − | 16654.7i | 0.604871 | − | 1.00269i | ||||
\(652\) | −11255.2 | − | 11255.2i | −0.676056 | − | 0.676056i | ||||
\(653\) | −13983.8 | + | 3746.95i | −0.838022 | + | 0.224547i | −0.652210 | − | 0.758038i | \(-0.726158\pi\) |
−0.185812 | + | 0.982585i | \(0.559491\pi\) | |||||||
\(654\) | 5949.44 | + | 3463.77i | 0.355721 | + | 0.207101i | ||||
\(655\) | −1955.19 | − | 527.058i | −0.116635 | − | 0.0314410i | ||||
\(656\) | 16162.0 | + | 9331.16i | 0.961923 | + | 0.555366i | ||||
\(657\) | 27534.1 | − | 7163.86i | 1.63502 | − | 0.425401i | ||||
\(658\) | 3695.18 | + | 3812.13i | 0.218925 | + | 0.225854i | ||||
\(659\) | −20669.8 | −1.22182 | −0.610910 | − | 0.791700i | \(-0.709196\pi\) | ||||
−0.610910 | + | 0.791700i | \(0.709196\pi\) | |||||||
\(660\) | −91.8690 | + | 17869.7i | −0.00541818 | + | 1.05391i | ||||
\(661\) | 11692.6 | + | 20252.1i | 0.688030 | + | 1.19170i | 0.972474 | + | 0.233011i | \(0.0748577\pi\) |
−0.284444 | + | 0.958693i | \(0.591809\pi\) | |||||||
\(662\) | −3451.12 | − | 924.724i | −0.202616 | − | 0.0542907i | ||||
\(663\) | 8345.09 | − | 8284.71i | 0.488833 | − | 0.485296i | ||||
\(664\) | − | 13954.9i | − | 0.815596i | ||||||
\(665\) | 59.1509 | − | 3461.30i | 0.00344928 | − | 0.201840i | ||||
\(666\) | 3175.94 | + | 1864.51i | 0.184783 | + | 0.108481i | ||||
\(667\) | −9949.79 | + | 2666.04i | −0.577597 | + | 0.154767i | ||||
\(668\) | 4351.11 | − | 16238.6i | 0.252020 | − | 0.940553i | ||||
\(669\) | 2384.93 | − | 4096.41i | 0.137828 | − | 0.236736i | ||||
\(670\) | 149.680 | − | 39.8644i | 0.00863081 | − | 0.00229865i | ||||
\(671\) | 14938.7i | 0.859464i | ||||||||
\(672\) | −3245.05 | − | 13113.1i | −0.186280 | − | 0.752754i | ||||
\(673\) | −20269.6 | + | 20269.6i | −1.16097 | + | 1.16097i | −0.176711 | + | 0.984263i | \(0.556546\pi\) |
−0.984263 | + | 0.176711i | \(0.943454\pi\) | |||||||
\(674\) | −1573.68 | + | 2725.70i | −0.0899346 | + | 0.155771i | ||||
\(675\) | 4774.14 | − | 16874.7i | 0.272232 | − | 0.962232i | ||||
\(676\) | −1305.86 | − | 2261.82i | −0.0742982 | − | 0.128688i | ||||
\(677\) | 1262.44 | + | 4711.48i | 0.0716683 | + | 0.267470i | 0.992457 | − | 0.122592i | \(-0.0391205\pi\) |
−0.920789 | + | 0.390061i | \(0.872454\pi\) | |||||||
\(678\) | −831.028 | + | 3057.00i | −0.0470729 | + | 0.173161i | ||||
\(679\) | −7655.24 | + | 12794.8i | −0.432667 | + | 0.723149i | ||||
\(680\) | 4451.03 | + | 4464.49i | 0.251013 | + | 0.251773i | ||||
\(681\) | −18686.5 | − | 67.8439i | −1.05149 | − | 0.00381760i | ||||
\(682\) | 1804.81 | − | 6735.66i | 0.101334 | − | 0.378184i | ||||
\(683\) | −25.6637 | + | 95.7784i | −0.00143777 | + | 0.00536582i | −0.966641 | − | 0.256135i | \(-0.917551\pi\) |
0.965203 | + | 0.261501i | \(0.0842175\pi\) | |||||||
\(684\) | −2875.46 | + | 1632.42i | −0.160740 | + | 0.0912534i | ||||
\(685\) | 14690.1 | + | 22.1877i | 0.819389 | + | 0.00123759i | ||||
\(686\) | −2817.86 | + | 4393.06i | −0.156831 | + | 0.244501i | ||||
\(687\) | −8148.23 | − | 2215.05i | −0.452510 | − | 0.123012i | ||||
\(688\) | −4090.09 | − | 15264.4i | −0.226647 | − | 0.845858i | ||||
\(689\) | −10130.0 | − | 17545.6i | −0.560117 | − | 0.970151i | ||||
\(690\) | −2666.54 | − | 1557.86i | −0.147121 | − | 0.0859516i | ||||
\(691\) | −4393.41 | + | 7609.60i | −0.241871 | + | 0.418933i | −0.961247 | − | 0.275688i | \(-0.911095\pi\) |
0.719376 | + | 0.694621i | \(0.244428\pi\) | |||||||
\(692\) | −5759.63 | + | 5759.63i | −0.316399 | + | 0.316399i | ||||
\(693\) | −20153.7 | − | 5896.61i | −1.10473 | − | 0.323223i | ||||
\(694\) | 7737.84i | 0.423234i | ||||||||
\(695\) | −1732.52 | − | 6505.13i | −0.0945585 | − | 0.355041i | ||||
\(696\) | 9001.29 | + | 5240.56i | 0.490220 | + | 0.285407i | ||||
\(697\) | 4482.68 | − | 16729.6i | 0.243606 | − | 0.909150i | ||||
\(698\) | 1180.30 | − | 316.262i | 0.0640045 | − | 0.0171500i | ||||
\(699\) | 23787.3 | − | 13618.7i | 1.28715 | − | 0.736919i | ||||
\(700\) | 16295.3 | + | 4692.80i | 0.879864 | + | 0.253387i | ||||
\(701\) | 15231.9i | 0.820684i | 0.911932 | + | 0.410342i | \(0.134591\pi\) | ||||
−0.911932 | + | 0.410342i | \(0.865409\pi\) | |||||||
\(702\) | 5642.32 | − | 1446.18i | 0.303356 | − | 0.0777528i | ||||
\(703\) | 2681.03 | + | 718.381i | 0.143837 | + | 0.0385409i | ||||
\(704\) | 5684.05 | + | 9845.07i | 0.304298 | + | 0.527060i | ||||
\(705\) | 14259.2 | + | 14406.6i | 0.761749 | + | 0.769622i | ||||
\(706\) | 9493.40 | 0.506075 | ||||||||
\(707\) | 20386.8 | + | 21032.0i | 1.08447 | + | 1.11880i | ||||
\(708\) | −22386.3 | − | 6085.57i | −1.18831 | − | 0.323037i | ||||
\(709\) | 17070.3 | + | 9855.54i | 0.904215 | + | 0.522049i | 0.878565 | − | 0.477622i | \(-0.158501\pi\) |
0.0256494 | + | 0.999671i | \(0.491835\pi\) | |||||||
\(710\) | −304.289 | + | 175.069i | −0.0160842 | + | 0.00925385i | ||||
\(711\) | −6442.45 | − | 46.7811i | −0.339818 | − | 0.00246755i | ||||
\(712\) | −10898.0 | + | 2920.11i | −0.573623 | + | 0.153702i | ||||
\(713\) | −9247.10 | − | 9247.10i | −0.485704 | − | 0.485704i | ||||
\(714\) | −3099.89 | + | 1711.20i | −0.162480 | + | 0.0896918i | ||||
\(715\) | 35.8337 | − | 23725.0i | 0.00187427 | − | 1.24093i | ||||
\(716\) | −20408.9 | − | 11783.1i | −1.06525 | − | 0.615020i | ||||
\(717\) | 4401.96 | − | 1162.39i | 0.229281 | − | 0.0605443i | ||||
\(718\) | −7003.01 | − | 1876.45i | −0.363997 | − | 0.0975328i | ||||
\(719\) | −6971.12 | + | 12074.3i | −0.361584 | + | 0.626282i | −0.988222 | − | 0.153029i | \(-0.951097\pi\) |
0.626638 | + | 0.779311i | \(0.284431\pi\) | |||||||
\(720\) | −3646.60 | − | 14103.0i | −0.188751 | − | 0.729981i | ||||
\(721\) | −16811.7 | + | 9360.16i | −0.868379 | + | 0.483482i | ||||
\(722\) | −3822.38 | + | 3822.38i | −0.197028 | + | 0.197028i | ||||
\(723\) | −21342.3 | − | 21497.8i | −1.09783 | − | 1.10583i | ||||
\(724\) | 23106.9 | − | 13340.7i | 1.18613 | − | 0.684814i | ||||
\(725\) | −17264.1 | + | 9898.05i | −0.884379 | + | 0.507040i | ||||
\(726\) | −1846.10 | − | 6.70251i | −0.0943733 | − | 0.000342636i | ||||
\(727\) | 6196.94 | + | 6196.94i | 0.316137 | + | 0.316137i | 0.847281 | − | 0.531144i | \(-0.178238\pi\) |
−0.531144 | + | 0.847281i | \(0.678238\pi\) | |||||||
\(728\) | 2872.14 | + | 11428.2i | 0.146221 | + | 0.581807i | ||||
\(729\) | 428.736 | − | 19678.3i | 0.0217820 | − | 0.999763i | ||||
\(730\) | −2491.05 | − | 9353.20i | −0.126298 | − | 0.474216i | ||||
\(731\) | −12701.1 | + | 7333.00i | −0.642638 | + | 0.371027i | ||||
\(732\) | −3456.92 | − | 13091.3i | −0.174551 | − | 0.661024i | ||||
\(733\) | −2511.15 | − | 9371.75i | −0.126537 | − | 0.472242i | 0.873353 | − | 0.487088i | \(-0.161941\pi\) |
−0.999890 | + | 0.0148459i | \(0.995274\pi\) | |||||||
\(734\) | −811.717 | −0.0408189 | ||||||||
\(735\) | −10582.9 | + | 16883.9i | −0.531096 | + | 0.847311i | ||||
\(736\) | −9082.49 | −0.454871 | ||||||||
\(737\) | −183.278 | − | 684.001i | −0.00916026 | − | 0.0341866i | ||||
\(738\) | 6110.21 | − | 6022.11i | 0.304770 | − | 0.300375i | ||||
\(739\) | −8167.66 | + | 4715.60i | −0.406566 | + | 0.234731i | −0.689313 | − | 0.724464i | \(-0.742088\pi\) |
0.282747 | + | 0.959194i | \(0.408754\pi\) | |||||||
\(740\) | −6815.91 | + | 11764.4i | −0.338592 | + | 0.584418i | ||||
\(741\) | 3809.71 | − | 2181.13i | 0.188871 | − | 0.108132i | ||||
\(742\) | 1486.96 | + | 5916.56i | 0.0735687 | + | 0.292727i | ||||
\(743\) | 5590.07 | + | 5590.07i | 0.276016 | + | 0.276016i | 0.831516 | − | 0.555500i | \(-0.187473\pi\) |
−0.555500 | + | 0.831516i | \(0.687473\pi\) | |||||||
\(744\) | −48.0086 | + | 13223.2i | −0.00236570 | + | 0.651593i | ||||
\(745\) | −9360.34 | + | 34723.4i | −0.460317 | + | 1.70761i | ||||
\(746\) | 4709.86 | − | 2719.24i | 0.231153 | − | 0.133456i | ||||
\(747\) | 28848.3 | + | 7954.85i | 1.41299 | + | 0.389629i | ||||
\(748\) | 9740.74 | − | 9740.74i | 0.476145 | − | 0.476145i | ||||
\(749\) | 2665.12 | − | 1483.84i | 0.130015 | − | 0.0723877i | ||||
\(750\) | −5750.18 | − | 1591.17i | −0.279956 | − | 0.0774684i | ||||
\(751\) | −5677.71 | + | 9834.09i | −0.275876 | + | 0.477831i | −0.970356 | − | 0.241681i | \(-0.922301\pi\) |
0.694480 | + | 0.719512i | \(0.255635\pi\) | |||||||
\(752\) | 16263.2 | + | 4357.72i | 0.788643 | + | 0.211316i | ||||
\(753\) | 1445.07 | + | 5472.48i | 0.0699354 | + | 0.264845i | ||||
\(754\) | −5724.12 | − | 3304.82i | −0.276473 | − | 0.159622i | ||||
\(755\) | −545.958 | − | 547.610i | −0.0263172 | − | 0.0263968i | ||||
\(756\) | 19026.0 | + | 503.718i | 0.915303 | + | 0.0242329i | ||||
\(757\) | −8559.38 | − | 8559.38i | −0.410959 | − | 0.410959i | 0.471114 | − | 0.882073i | \(-0.343852\pi\) |
−0.882073 | + | 0.471114i | \(0.843852\pi\) | |||||||
\(758\) | 10871.1 | − | 2912.89i | 0.520917 | − | 0.139579i | ||||
\(759\) | −7103.48 | + | 12201.1i | −0.339710 | + | 0.583493i | ||||
\(760\) | 1173.66 | + | 2039.96i | 0.0560175 | + | 0.0973645i | ||||
\(761\) | 11916.3 | + | 6879.87i | 0.567628 | + | 0.327720i | 0.756201 | − | 0.654339i | \(-0.227053\pi\) |
−0.188573 | + | 0.982059i | \(0.560386\pi\) | |||||||
\(762\) | −1206.50 | + | 4438.20i | −0.0573580 | + | 0.210996i | ||||
\(763\) | −20786.5 | − | 21444.4i | −0.986268 | − | 1.01748i | ||||
\(764\) | −14785.7 | −0.700165 | ||||||||
\(765\) | −11766.5 | + | 6656.47i | −0.556103 | + | 0.314595i | ||||
\(766\) | −3133.59 | − | 5427.54i | −0.147808 | − | 0.256012i | ||||
\(767\) | 29750.2 | + | 7971.55i | 1.40055 | + | 0.375275i | ||||
\(768\) | −3881.73 | − | 3910.02i | −0.182383 | − | 0.183712i | ||||
\(769\) | − | 4419.71i | − | 0.207255i | −0.994616 | − | 0.103627i | \(-0.966955\pi\) | ||
0.994616 | − | 0.103627i | \(-0.0330449\pi\) | |||||||
\(770\) | −1966.63 | + | 6867.92i | −0.0920419 | + | 0.321432i | ||||
\(771\) | 4117.43 | + | 7191.78i | 0.192329 | + | 0.335935i | ||||
\(772\) | −23948.1 | + | 6416.88i | −1.11647 | + | 0.299156i | ||||
\(773\) | 1507.92 | − | 5627.65i | 0.0701634 | − | 0.261853i | −0.921930 | − | 0.387357i | \(-0.873388\pi\) |
0.992093 | + | 0.125504i | \(0.0400547\pi\) | |||||||
\(774\) | −7264.40 | − | 52.7496i | −0.337356 | − | 0.00244967i | ||||
\(775\) | −21841.4 | − | 12698.3i | −1.01234 | − | 0.588562i | ||||
\(776\) | − | 10136.5i | − | 0.468916i | ||||||
\(777\) | −11078.2 | − | 11512.1i | −0.511489 | − | 0.531525i | ||||
\(778\) | −2993.16 | + | 2993.16i | −0.137931 | + | 0.137931i | ||||
\(779\) | 3232.89 | − | 5599.53i | 0.148691 | − | 0.257540i | ||||
\(780\) | 5458.74 | + | 20799.4i | 0.250583 | + | 0.954795i | ||||
\(781\) | 802.446 | + | 1389.88i | 0.0367654 | + | 0.0636796i | ||||
\(782\) | 616.160 | + | 2299.54i | 0.0281763 | + | 0.105155i | ||||
\(783\) | −15964.7 | + | 15620.6i | −0.728647 | + | 0.712944i | ||||
\(784\) | −515.570 | + | 16543.5i | −0.0234862 | + | 0.753623i | ||||
\(785\) | −12.8345 | + | 8497.53i | −0.000583545 | + | 0.386357i | ||||
\(786\) | −2.80728 | + | 773.218i | −0.000127395 | + | 0.0350888i | ||||
\(787\) | −6316.95 | + | 23575.2i | −0.286118 | + | 1.06781i | 0.661900 | + | 0.749592i | \(0.269750\pi\) |
−0.948018 | + | 0.318215i | \(0.896916\pi\) | |||||||
\(788\) | 6443.12 | − | 24046.0i | 0.291277 | − | 1.08706i | ||||
\(789\) | 57.0991 | − | 15727.0i | 0.00257640 | − | 0.709628i | ||||
\(790\) | −3.31052 | + | 2191.85i | −0.000149092 | + | 0.0987118i | ||||
\(791\) | 7056.13 | − | 11793.4i | 0.317177 | − | 0.530122i | ||||
\(792\) | 13815.8 | − | 3594.62i | 0.619853 | − | 0.161274i | ||||
\(793\) | 4652.65 | + | 17363.9i | 0.208349 | + | 0.777568i | ||||
\(794\) | 5890.66 | + | 10202.9i | 0.263289 | + | 0.456030i | ||||
\(795\) | 5912.61 | + | 22528.8i | 0.263772 | + | 1.00505i | ||||
\(796\) | 6559.37 | − | 11361.2i | 0.292074 | − | 0.505887i | ||||
\(797\) | −18690.0 | + | 18690.0i | −0.830658 | + | 0.830658i | −0.987607 | − | 0.156948i | \(-0.949834\pi\) |
0.156948 | + | 0.987607i | \(0.449834\pi\) | |||||||
\(798\) | −1283.16 | + | 317.537i | −0.0569213 | + | 0.0140861i | ||||
\(799\) | − | 15625.7i | − | 0.691861i | ||||||
\(800\) | −16962.4 | + | 4490.19i | −0.749640 | + | 0.198440i | ||||
\(801\) | 175.678 | − | 24193.5i | 0.00774941 | − | 1.06721i | ||||
\(802\) | 450.687 | − | 1681.99i | 0.0198433 | − | 0.0740561i | ||||
\(803\) | −42741.8 | + | 11452.6i | −1.87836 | + | 0.503306i | ||||
\(804\) | 318.896 | + | 557.005i | 0.0139883 | + | 0.0244329i | ||||
\(805\) | 9310.18 | + | 9633.92i | 0.407628 | + | 0.421802i | ||||
\(806\) | − | 8391.30i | − | 0.366713i | ||||||
\(807\) | 25481.9 | + | 25667.6i | 1.11153 | + | 1.11963i | ||||
\(808\) | −19234.8 | − | 5153.95i | −0.837473 | − | 0.224400i | ||||
\(809\) | 16896.4 | + | 29265.4i | 0.734296 | + | 1.27184i | 0.955032 | + | 0.296504i | \(0.0958208\pi\) |
−0.220736 | + | 0.975334i | \(0.570846\pi\) | |||||||
\(810\) | −6695.50 | − | 107.357i | −0.290439 | − | 0.00465698i | ||||
\(811\) | −26144.2 | −1.13199 | −0.565996 | − | 0.824408i | \(-0.691508\pi\) | ||||
−0.565996 | + | 0.824408i | \(0.691508\pi\) | |||||||
\(812\) | −15032.0 | − | 15507.8i | −0.649655 | − | 0.670217i | ||||
\(813\) | −2662.13 | + | 9792.84i | −0.114840 | + | 0.422447i | ||||
\(814\) | −4960.49 | − | 2863.94i | −0.213593 | − | 0.123318i | ||||
\(815\) | −12115.7 | − | 21058.4i | −0.520730 | − | 0.905085i | ||||
\(816\) | −5649.86 | + | 9704.30i | −0.242383 | + | 0.416322i | ||||
\(817\) | −5288.54 | + | 1417.06i | −0.226466 | + | 0.0606813i | ||||
\(818\) | −904.480 | − | 904.480i | −0.0386606 | − | 0.0386606i | ||||
\(819\) | −25262.1 | − | 577.047i | −1.07781 | − | 0.0246199i | ||||
\(820\) | 22362.0 | + | 22429.6i | 0.952334 | + | 0.955215i | ||||
\(821\) | 5871.35 | + | 3389.82i | 0.249588 | + | 0.144099i | 0.619575 | − | 0.784937i | \(-0.287305\pi\) |
−0.369988 | + | 0.929037i | \(0.620638\pi\) | |||||||
\(822\) | −1432.12 | − | 5423.42i | −0.0607674 | − | 0.230126i | ||||
\(823\) | 20484.7 | + | 5488.85i | 0.867620 | + | 0.232478i | 0.665058 | − | 0.746792i | \(-0.268407\pi\) |
0.202562 | + | 0.979270i | \(0.435073\pi\) | |||||||
\(824\) | 6540.71 | − | 11328.8i | 0.276525 | − | 0.478955i | ||||
\(825\) | −7234.48 | + | 26298.5i | −0.305300 | + | 1.10981i | ||||
\(826\) | −7958.52 | − | 4761.66i | −0.335245 | − | 0.200580i | ||||
\(827\) | 8077.18 | − | 8077.18i | 0.339627 | − | 0.339627i | −0.516600 | − | 0.856227i | \(-0.672803\pi\) |
0.856227 | + | 0.516600i | \(0.172803\pi\) | |||||||
\(828\) | 3401.64 | − | 12336.1i | 0.142772 | − | 0.517764i | ||||
\(829\) | 32809.9 | − | 18942.8i | 1.37459 | − | 0.793619i | 0.383086 | − | 0.923713i | \(-0.374861\pi\) |
0.991502 | + | 0.130094i | \(0.0415279\pi\) | |||||||
\(830\) | 2649.84 | − | 9829.91i | 0.110816 | − | 0.411086i | ||||
\(831\) | −69.4484 | + | 19128.4i | −0.00289908 | + | 0.798504i | ||||
\(832\) | 9673.11 | + | 9673.11i | 0.403071 | + | 0.403071i | ||||
\(833\) | 14954.1 | − | 3511.57i | 0.622002 | − | 0.146061i | ||||
\(834\) | −2230.78 | + | 1277.17i | −0.0926208 | + | 0.0530272i | ||||
\(835\) | 12863.4 | − | 22202.6i | 0.533122 | − | 0.920182i | ||||
\(836\) | 4453.67 | − | 2571.33i | 0.184250 | − | 0.106377i | ||||
\(837\) | −27308.3 | − | 7636.98i | −1.12773 | − | 0.315379i | ||||
\(838\) | −1690.08 | − | 6307.46i | −0.0696693 | − | 0.260009i | ||||
\(839\) | 9131.09 | 0.375733 | 0.187867 | − | 0.982195i | \(-0.439843\pi\) | ||||
0.187867 | + | 0.982195i | \(0.439843\pi\) | |||||||
\(840\) | 280.647 | − | 13544.0i | 0.0115277 | − | 0.556325i | ||||
\(841\) | 956.422 | 0.0392153 | ||||||||
\(842\) | −3572.58 | − | 13333.0i | −0.146222 | − | 0.545709i | ||||
\(843\) | 4716.87 | + | 17862.8i | 0.192714 | + | 0.729805i | ||||
\(844\) | 24038.6 | − | 13878.7i | 0.980383 | − | 0.566024i | ||||
\(845\) | −1025.93 | − | 3852.08i | −0.0417669 | − | 0.156823i | ||||
\(846\) | 3918.55 | − | 6674.72i | 0.159246 | − | 0.271255i | ||||
\(847\) | 7702.65 | + | 2193.07i | 0.312475 | + | 0.0889666i | ||||
\(848\) | 13680.3 | + | 13680.3i | 0.553990 | + | 0.553990i | ||||
\(849\) | −16696.7 | − | 60.6199i | −0.674947 | − | 0.00245049i | ||||
\(850\) | 2287.58 | + | 3990.00i | 0.0923100 | + | 0.161007i | ||||
\(851\) | −9302.69 | + | 5370.91i | −0.374726 | + | 0.216348i | ||||
\(852\) | −1024.84 | − | 1032.31i | −0.0412096 | − | 0.0415099i | ||||
\(853\) | −14868.7 | + | 14868.7i | −0.596829 | + | 0.596829i | −0.939467 | − | 0.342639i | \(-0.888679\pi\) |
0.342639 | + | 0.939467i | \(0.388679\pi\) | |||||||
\(854\) | 84.3154 | − | 5412.31i | 0.00337847 | − | 0.216868i | ||||
\(855\) | −4886.14 | + | 1263.41i | −0.195442 | + | 0.0505352i | ||||
\(856\) | −1036.88 | + | 1795.93i | −0.0414017 | + | 0.0717099i | ||||
\(857\) | −16091.3 | − | 4311.64i | −0.641385 | − | 0.171859i | −0.0765543 | − | 0.997065i | \(-0.524392\pi\) |
−0.564831 | + | 0.825207i | \(0.691059\pi\) | |||||||
\(858\) | −8758.97 | + | 2312.91i | −0.348516 | + | 0.0920296i | ||||
\(859\) | 28765.6 | + | 16607.8i | 1.14257 | + | 0.659665i | 0.947066 | − | 0.321038i | \(-0.104032\pi\) |
0.195506 | + | 0.980702i | \(0.437365\pi\) | |||||||
\(860\) | 40.5078 | − | 26819.6i | 0.00160617 | − | 1.06342i | ||||
\(861\) | −32582.9 | + | 17986.3i | −1.28969 | + | 0.711932i | ||||
\(862\) | −1461.65 | − | 1461.65i | −0.0577542 | − | 0.0577542i | ||||
\(863\) | 36321.2 | − | 9732.24i | 1.43266 | − | 0.383881i | 0.542705 | − | 0.839923i | \(-0.317400\pi\) |
0.889958 | + | 0.456042i | \(0.150733\pi\) | |||||||
\(864\) | −17161.6 | + | 9660.57i | −0.675752 | + | 0.380393i | ||||
\(865\) | −10776.2 | + | 6199.97i | −0.423586 | + | 0.243705i | ||||
\(866\) | −6069.78 | − | 3504.39i | −0.238175 | − | 0.137510i | ||||
\(867\) | −14578.3 | − | 3963.03i | −0.571055 | − | 0.155238i | ||||
\(868\) | 7508.29 | − | 26371.1i | 0.293603 | − | 1.03121i | ||||
\(869\) | 10020.2 | 0.391155 | ||||||||
\(870\) | 5345.44 | + | 5400.69i | 0.208308 | + | 0.210460i | ||||
\(871\) | −426.065 | − | 737.966i | −0.0165748 | − | 0.0287084i | ||||
\(872\) | 19612.0 | + | 5255.02i | 0.761635 | + | 0.204079i | ||||
\(873\) | 20954.7 | + | 5778.20i | 0.812382 | + | 0.224012i | ||||
\(874\) | 888.745i | 0.0343962i | ||||||||
\(875\) | 22150.5 | + | 13389.5i | 0.855797 | + | 0.517312i | ||||
\(876\) | 34806.1 | − | 19927.2i | 1.34245 | − | 0.768582i | ||||
\(877\) | 10288.5 | − | 2756.80i | 0.396144 | − | 0.106147i | −0.0552469 | − | 0.998473i | \(-0.517595\pi\) |
0.451391 | + | 0.892326i | \(0.350928\pi\) | |||||||
\(878\) | 161.349 | − | 602.162i | 0.00620189 | − | 0.0231458i | ||||
\(879\) | −18771.2 | − | 10928.6i | −0.720294 | − | 0.419356i | ||||
\(880\) | 5830.69 | + | 21892.7i | 0.223355 | + | 0.838638i | ||||
\(881\) | − | 11778.8i | − | 0.450440i | −0.974308 | − | 0.225220i | \(-0.927690\pi\) | ||
0.974308 | − | 0.225220i | \(-0.0723101\pi\) | |||||||
\(882\) | 7268.45 | + | 2250.11i | 0.277485 | + | 0.0859014i | ||||
\(883\) | 19073.4 | − | 19073.4i | 0.726920 | − | 0.726920i | −0.243085 | − | 0.970005i | \(-0.578159\pi\) |
0.970005 | + | 0.243085i | \(0.0781594\pi\) | |||||||
\(884\) | 8288.38 | − | 14355.9i | 0.315349 | − | 0.546200i | ||||
\(885\) | −30573.5 | − | 17861.8i | −1.16126 | − | 0.678439i | ||||
\(886\) | 5485.40 | + | 9500.99i | 0.207997 | + | 0.360262i | ||||
\(887\) | −1223.17 | − | 4564.93i | −0.0463022 | − | 0.172802i | 0.938903 | − | 0.344183i | \(-0.111844\pi\) |
−0.985205 | + | 0.171380i | \(0.945177\pi\) | |||||||
\(888\) | 10481.3 | + | 2849.28i | 0.396091 | + | 0.107675i | ||||
\(889\) | 10244.2 | − | 17121.9i | 0.386478 | − | 0.645950i | ||||
\(890\) | −8231.08 | − | 12.4321i | −0.310007 | − | 0.000468229i | ||||
\(891\) | −444.563 | + | 30609.9i | −0.0167154 | + | 1.15092i | ||||
\(892\) | 1729.45 | − | 6454.39i | 0.0649173 | − | 0.242275i | ||||
\(893\) | 1509.78 | − | 5634.59i | 0.0565767 | − | 0.211147i | ||||
\(894\) | 13732.0 | + | 49.8562i | 0.513723 | + | 0.00186514i | ||||
\(895\) | −25396.0 | − | 25472.8i | −0.948485 | − | 0.951355i | ||||
\(896\) | −12121.0 | − | 21770.4i | −0.451934 | − | 0.811715i | ||||
\(897\) | −4456.69 | + | 16394.3i | −0.165891 | + | 0.610244i | ||||
\(898\) | −45.6305 | − | 170.295i | −0.00169567 | − | 0.00632831i | ||||
\(899\) | 16088.7 | + | 27866.4i | 0.596871 | + | 1.03381i | ||||
\(900\) | 254.186 | − | 24720.5i | 0.00941428 | − | 0.915575i | ||||
\(901\) | 8977.51 | − | 15549.5i | 0.331947 | − | 0.574949i | ||||
\(902\) | −9434.99 | + | 9434.99i | −0.348282 | + | 0.348282i | ||||
\(903\) | 30279.1 | + | 8739.91i | 1.11586 | + | 0.322088i | ||||
\(904\) | 9343.20i | 0.343750i | ||||||||
\(905\) | 39353.0 | − | 10480.9i | 1.44545 | − | 0.384969i | ||||
\(906\) | −148.561 | + | 255.171i | −0.00544768 | + | 0.00935705i | ||||
\(907\) | 770.592 | − | 2875.89i | 0.0282107 | − | 0.105284i | −0.950385 | − | 0.311076i | \(-0.899311\pi\) |
0.978596 | + | 0.205793i | \(0.0659772\pi\) | |||||||
\(908\) | −25444.8 | + | 6817.91i | −0.929973 | + | 0.249185i | ||||
\(909\) | 21619.1 | − | 36825.3i | 0.788846 | − | 1.34369i | ||||
\(910\) | −146.889 | + | 8595.42i | −0.00535091 | + | 0.313116i | ||||
\(911\) | − | 15023.3i | − | 0.546369i | −0.961962 | − | 0.273185i | \(-0.911923\pi\) | ||
0.961962 | − | 0.273185i | \(-0.0880770\pi\) | |||||||
\(912\) | −2974.98 | + | 2953.45i | −0.108017 | + | 0.107235i | ||||
\(913\) | −44956.6 | − | 12046.1i | −1.62963 | − | 0.436657i | ||||
\(914\) | 2404.57 | + | 4164.83i | 0.0870197 | + | 0.150723i | ||||
\(915\) | 106.247 | − | 20666.3i | 0.00383869 | − | 0.746675i | ||||
\(916\) | −11903.4 | −0.429365 | ||||||||
\(917\) | 918.544 | − | 3226.18i | 0.0330785 | − | 0.116181i | ||||
\(918\) | 3610.15 | + | 3689.67i | 0.129796 | + | 0.132655i | ||||
\(919\) | 20061.6 | + | 11582.6i | 0.720100 | + | 0.415750i | 0.814790 | − | 0.579757i | \(-0.196852\pi\) |
−0.0946892 | + | 0.995507i | \(0.530186\pi\) | |||||||
\(920\) | −8794.26 | − | 2370.66i | −0.315150 | − | 0.0849546i | ||||
\(921\) | −15345.8 | − | 8934.37i | −0.549036 | − | 0.319650i | ||||
\(922\) | −4878.86 | + | 1307.29i | −0.174270 | + | 0.0466955i | ||||
\(923\) | 1365.60 | + | 1365.60i | 0.0486991 | + | 0.0486991i | ||||
\(924\) | −29596.1 | − | 568.547i | −1.05372 | − | 0.0202422i | ||||
\(925\) | −14718.4 | + | 14629.8i | −0.523176 | + | 0.520025i | ||||
\(926\) | 8486.98 | + | 4899.96i | 0.301187 | + | 0.173891i | ||||
\(927\) | 19691.1 | + | 19979.2i | 0.697672 | + | 0.707878i | ||||
\(928\) | 21586.3 | + | 5784.03i | 0.763583 | + | 0.204601i | ||||
\(929\) | 22910.8 | − | 39682.7i | 0.809128 | − | 1.40145i | −0.104341 | − | 0.994542i | \(-0.533273\pi\) |
0.913469 | − | 0.406909i | \(-0.133393\pi\) | |||||||
\(930\) | −2544.71 | + | 9305.36i | −0.0897250 | + | 0.328102i | ||||
\(931\) | 5731.71 | + | 178.625i | 0.201771 | + | 0.00628809i | ||||
\(932\) | 27322.3 | − | 27322.3i | 0.960272 | − | 0.960272i | ||||
\(933\) | −9098.62 | + | 9032.79i | −0.319266 | + | 0.316956i | ||||
\(934\) | −95.9720 | + | 55.4095i | −0.00336221 | + | 0.00194117i | ||||
\(935\) | 18224.8 | − | 10485.5i | 0.637451 | − | 0.366750i | ||||
\(936\) | 14939.2 | − | 8481.14i | 0.521693 | − | 0.296170i | ||||
\(937\) | 11019.0 | + | 11019.0i | 0.384178 | + | 0.384178i | 0.872605 | − | 0.488427i | \(-0.162429\pi\) |
−0.488427 | + | 0.872605i | \(0.662429\pi\) | |||||||
\(938\) | 62.5413 | + | 248.850i | 0.00217702 | + | 0.00866229i | ||||
\(939\) | 12255.7 | + | 21406.6i | 0.425932 | + | 0.743960i | ||||
\(940\) | 24724.7 | + | 14324.7i | 0.857905 | + | 0.497041i | ||||
\(941\) | −4604.68 | + | 2658.51i | −0.159520 | + | 0.0920988i | −0.577635 | − | 0.816295i | \(-0.696024\pi\) |
0.418115 | + | 0.908394i | \(0.362691\pi\) | |||||||
\(942\) | 3137.18 | − | 828.410i | 0.108508 | − | 0.0286529i | ||||
\(943\) | 6476.45 | + | 24170.4i | 0.223650 | + | 0.834674i | ||||
\(944\) | −29411.7 | −1.01406 | ||||||||
\(945\) | 27838.9 | + | 8300.79i | 0.958307 | + | 0.285740i | ||||
\(946\) | 11298.7 | 0.388321 | ||||||||
\(947\) | −13940.7 | − | 52027.3i | −0.478364 | − | 1.78528i | −0.608244 | − | 0.793750i | \(-0.708126\pi\) |
0.129880 | − | 0.991530i | \(-0.458541\pi\) | |||||||
\(948\) | −8781.14 | + | 2318.76i | −0.300842 | + | 0.0794408i | ||||
\(949\) | −46114.0 | + | 26623.9i | −1.57737 | + | 0.910695i | ||||
\(950\) | 439.377 | + | 1659.82i | 0.0150056 | + | 0.0566859i | ||||
\(951\) | 16359.4 | + | 28574.4i | 0.557823 | + | 0.974330i | ||||
\(952\) | −7498.43 | + | 7268.38i | −0.255279 | + | 0.247447i | ||||
\(953\) | −18298.9 | − | 18298.9i | −0.621994 | − | 0.621994i | 0.324047 | − | 0.946041i | \(-0.394956\pi\) |
−0.946041 | + | 0.324047i | \(0.894956\pi\) | |||||||
\(954\) | 7734.31 | − | 4390.84i | 0.262482 | − | 0.149013i | ||||
\(955\) | −21789.9 | − | 5873.89i | −0.738331 | − | 0.199031i | ||||
\(956\) | 5558.26 | − | 3209.06i | 0.188041 | − | 0.108565i | ||||
\(957\) | 24652.9 | − | 24474.5i | 0.832721 | − | 0.826696i | ||||
\(958\) | 5996.47 | − | 5996.47i | 0.202231 | − | 0.202231i | ||||
\(959\) | −379.044 | + | 24331.3i | −0.0127633 | + | 0.819291i | ||||
\(960\) | −7793.37 | − | 13660.2i | −0.262010 | − | 0.459252i | ||||
\(961\) | −5529.91 | + | 9578.09i | −0.185624 | + | 0.321510i | ||||
\(962\) | −6657.79 | − | 1783.95i | −0.223135 | − | 0.0597888i | ||||
\(963\) | −3121.58 | − | 3167.25i | −0.104456 | − | 0.105985i | ||||
\(964\) | −36982.3 | − | 21351.7i | −1.23560 | − | 0.713375i | ||||
\(965\) | −37842.1 | − | 57.1559i | −1.26236 | − | 0.00190665i | ||||
\(966\) | 2642.47 | − | 4380.39i | 0.0880126 | − | 0.145897i | ||||
\(967\) | −19832.0 | − | 19832.0i | −0.659518 | − | 0.659518i | 0.295748 | − | 0.955266i | \(-0.404431\pi\) |
−0.955266 | + | 0.295748i | \(0.904431\pi\) | |||||||
\(968\) | −5259.19 | + | 1409.20i | −0.174625 | + | 0.0467906i | ||||
\(969\) | 3362.17 | + | 1957.46i | 0.111464 | + | 0.0648944i | ||||
\(970\) | 1924.77 | − | 7140.20i | 0.0637121 | − | 0.236348i | ||||
\(971\) | −38964.1 | − | 22495.9i | −1.28776 | − | 0.743490i | −0.309508 | − | 0.950897i | \(-0.600164\pi\) |
−0.978255 | + | 0.207406i | \(0.933498\pi\) | |||||||
\(972\) | −6693.77 | − | 26927.5i | −0.220887 | − | 0.888580i | ||||
\(973\) | 10815.1 | − | 2718.06i | 0.356336 | − | 0.0895550i | ||||
\(974\) | 13159.7 | 0.432921 | ||||||||
\(975\) | −218.310 | + | 32821.2i | −0.00717077 | + | 1.07807i | ||||
\(976\) | −8583.16 | − | 14866.5i | −0.281496 | − | 0.487566i | ||||
\(977\) | 12148.6 | + | 3255.20i | 0.397817 | + | 0.106595i | 0.452180 | − | 0.891927i | \(-0.350646\pi\) |
−0.0543635 | + | 0.998521i | \(0.517313\pi\) | |||||||
\(978\) | −6583.50 | + | 6535.87i | −0.215253 | + | 0.213695i | ||||
\(979\) | 37629.3i | 1.22843i | ||||||||
\(980\) | −8152.56 | + | 26881.2i | −0.265739 | + | 0.876213i | ||||
\(981\) | −22043.0 | + | 37547.4i | −0.717411 | + | 1.22201i | ||||
\(982\) | −14959.6 | + | 4008.41i | −0.486130 | + | 0.130258i | ||||
\(983\) | −7870.81 | + | 29374.3i | −0.255381 | + | 0.953096i | 0.712497 | + | 0.701675i | \(0.247564\pi\) |
−0.967878 | + | 0.251420i | \(0.919102\pi\) | |||||||
\(984\) | 12730.6 | − | 21866.3i | 0.412435 | − | 0.708407i | ||||
\(985\) | 19048.1 | − | 32877.5i | 0.616166 | − | 1.06352i | ||||
\(986\) | − | 5857.70i | − | 0.189196i | ||||||
\(987\) | −24194.4 | + | 23282.4i | −0.780261 | + | 0.750848i | ||||
\(988\) | 4375.87 | − | 4375.87i | 0.140906 | − | 0.140906i | ||||
\(989\) | 10594.5 | − | 18350.2i | 0.340633 | − | 0.589994i | ||||
\(990\) | 10414.5 | + | 91.3544i | 0.334338 | + | 0.00293276i | ||||
\(991\) | −6881.34 | − | 11918.8i | −0.220578 | − | 0.382053i | 0.734405 | − | 0.678711i | \(-0.237461\pi\) |
−0.954984 | + | 0.296658i | \(0.904128\pi\) | |||||||
\(992\) | 7343.13 | + | 27404.9i | 0.235025 | + | 0.877125i | ||||
\(993\) | 5927.61 | − | 21805.2i | 0.189433 | − | 0.696844i | ||||
\(994\) | −282.884 | − | 508.085i | −0.00902668 | − | 0.0162128i | ||||
\(995\) | 14180.1 | − | 14137.4i | 0.451799 | − | 0.450437i | ||||
\(996\) | 42184.8 | + | 153.158i | 1.34205 | + | 0.00487249i | ||||
\(997\) | 3790.17 | − | 14145.1i | 0.120397 | − | 0.449328i | −0.879237 | − | 0.476385i | \(-0.841947\pi\) |
0.999634 | + | 0.0270568i | \(0.00861351\pi\) | |||||||
\(998\) | −3710.37 | + | 13847.3i | −0.117685 | + | 0.439207i | ||||
\(999\) | −11864.9 | + | 20043.3i | −0.375765 | + | 0.634776i |
(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 | 105.4.x.a.2.19 | ✓ | 176 | |
3.2 | odd | 2 | inner | 105.4.x.a.2.26 | yes | 176 | |
5.3 | odd | 4 | inner | 105.4.x.a.23.19 | yes | 176 | |
7.4 | even | 3 | inner | 105.4.x.a.32.26 | yes | 176 | |
15.8 | even | 4 | inner | 105.4.x.a.23.26 | yes | 176 | |
21.11 | odd | 6 | inner | 105.4.x.a.32.19 | yes | 176 | |
35.18 | odd | 12 | inner | 105.4.x.a.53.26 | yes | 176 | |
105.53 | even | 12 | inner | 105.4.x.a.53.19 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.4.x.a.2.19 | ✓ | 176 | 1.1 | even | 1 | trivial | |
105.4.x.a.2.26 | yes | 176 | 3.2 | odd | 2 | inner | |
105.4.x.a.23.19 | yes | 176 | 5.3 | odd | 4 | inner | |
105.4.x.a.23.26 | yes | 176 | 15.8 | even | 4 | inner | |
105.4.x.a.32.19 | yes | 176 | 21.11 | odd | 6 | inner | |
105.4.x.a.32.26 | yes | 176 | 7.4 | even | 3 | inner | |
105.4.x.a.53.19 | yes | 176 | 105.53 | even | 12 | inner | |
105.4.x.a.53.26 | yes | 176 | 35.18 | odd | 12 | inner |