Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,4,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), 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: | \(2.89109359028\) |
Analytic rank: | \(0\) |
Dimension: | \(156\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 2.2 | ||
Character | \(\chi\) | \(=\) | 49.2 |
Dual form | 49.4.g.a.25.2 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{13}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.56991 | − | 1.40963i | −1.61571 | − | 0.498380i | −0.650422 | − | 0.759573i | \(-0.725408\pi\) |
−0.965286 | + | 0.261194i | \(0.915884\pi\) | |||||||
\(3\) | 2.47210 | − | 6.29880i | 0.475756 | − | 1.21221i | −0.468639 | − | 0.883390i | \(-0.655255\pi\) |
0.944394 | − | 0.328815i | \(-0.106649\pi\) | |||||||
\(4\) | 12.2871 | + | 8.37722i | 1.53589 | + | 1.04715i | ||||
\(5\) | 16.6312 | − | 2.50675i | 1.48754 | − | 0.224211i | 0.645556 | − | 0.763713i | \(-0.276625\pi\) |
0.841984 | + | 0.539502i | \(0.181387\pi\) | |||||||
\(6\) | −20.1763 | + | 25.3002i | −1.37282 | + | 1.72146i | ||||
\(7\) | −5.68057 | − | 17.6276i | −0.306722 | − | 0.951799i | ||||
\(8\) | −20.4882 | − | 25.6914i | −0.905458 | − | 1.13541i | ||||
\(9\) | −13.7713 | − | 12.7779i | −0.510047 | − | 0.473254i | ||||
\(10\) | −79.5368 | − | 11.9882i | −2.51517 | − | 0.379101i | ||||
\(11\) | −12.9486 | + | 12.0146i | −0.354923 | + | 0.329320i | −0.837402 | − | 0.546587i | \(-0.815927\pi\) |
0.482479 | + | 0.875907i | \(0.339736\pi\) | |||||||
\(12\) | 83.1415 | − | 56.6849i | 2.00007 | − | 1.36363i | ||||
\(13\) | −12.6098 | − | 55.2471i | −0.269025 | − | 1.17868i | −0.911150 | − | 0.412075i | \(-0.864804\pi\) |
0.642125 | − | 0.766600i | \(-0.278053\pi\) | |||||||
\(14\) | 1.11133 | + | 88.5639i | 0.0212153 | + | 1.69069i | ||||
\(15\) | 25.3245 | − | 110.954i | 0.435916 | − | 1.90987i | ||||
\(16\) | 13.9495 | + | 35.5427i | 0.217961 | + | 0.555355i | ||||
\(17\) | 9.35333 | + | 124.812i | 0.133442 | + | 1.78066i | 0.515861 | + | 0.856672i | \(0.327472\pi\) |
−0.382419 | + | 0.923989i | \(0.624909\pi\) | |||||||
\(18\) | 44.9214 | + | 77.8061i | 0.588226 | + | 1.01884i | ||||
\(19\) | −24.2655 | + | 42.0291i | −0.292994 | + | 0.507481i | −0.974516 | − | 0.224317i | \(-0.927985\pi\) |
0.681522 | + | 0.731798i | \(0.261318\pi\) | |||||||
\(20\) | 225.349 | + | 108.523i | 2.51948 | + | 1.21332i | ||||
\(21\) | −125.076 | − | 7.79630i | −1.29970 | − | 0.0810139i | ||||
\(22\) | 76.1101 | − | 36.6527i | 0.737579 | − | 0.355199i | ||||
\(23\) | 9.85237 | − | 131.471i | 0.0893200 | − | 1.19189i | −0.754879 | − | 0.655864i | \(-0.772305\pi\) |
0.844199 | − | 0.536029i | \(-0.180076\pi\) | |||||||
\(24\) | −212.474 | + | 65.5395i | −1.80713 | + | 0.557424i | ||||
\(25\) | 150.867 | − | 46.5363i | 1.20693 | − | 0.372290i | ||||
\(26\) | −20.2524 | + | 270.249i | −0.152762 | + | 2.03847i | ||||
\(27\) | 50.0750 | − | 24.1149i | 0.356924 | − | 0.171885i | ||||
\(28\) | 77.8722 | − | 264.180i | 0.525588 | − | 1.78304i | ||||
\(29\) | −24.3814 | − | 11.7415i | −0.156121 | − | 0.0751840i | 0.354192 | − | 0.935173i | \(-0.384756\pi\) |
−0.510313 | + | 0.859989i | \(0.670470\pi\) | |||||||
\(30\) | −272.134 | + | 471.350i | −1.65616 | + | 2.86855i | ||||
\(31\) | 14.2088 | + | 24.6104i | 0.0823219 | + | 0.142586i | 0.904247 | − | 0.427010i | \(-0.140433\pi\) |
−0.821925 | + | 0.569596i | \(0.807100\pi\) | |||||||
\(32\) | 5.99953 | + | 80.0582i | 0.0331430 | + | 0.442263i | ||||
\(33\) | 43.6671 | + | 111.262i | 0.230347 | + | 0.586916i | ||||
\(34\) | 133.194 | − | 583.562i | 0.671842 | − | 2.94353i | ||||
\(35\) | −138.663 | − | 278.928i | −0.669665 | − | 1.34707i | ||||
\(36\) | −62.1663 | − | 272.368i | −0.287807 | − | 1.26096i | ||||
\(37\) | 80.0525 | − | 54.5789i | 0.355691 | − | 0.242506i | −0.372270 | − | 0.928124i | \(-0.621421\pi\) |
0.727961 | + | 0.685619i | \(0.240468\pi\) | |||||||
\(38\) | 170.137 | − | 157.864i | 0.726311 | − | 0.673918i | ||||
\(39\) | −379.163 | − | 57.1496i | −1.55679 | − | 0.234648i | ||||
\(40\) | −405.145 | − | 375.920i | −1.60148 | − | 1.48595i | ||||
\(41\) | 216.523 | + | 271.511i | 0.824760 | + | 1.03422i | 0.998775 | + | 0.0494737i | \(0.0157544\pi\) |
−0.174015 | + | 0.984743i | \(0.555674\pi\) | |||||||
\(42\) | 560.594 | + | 211.939i | 2.05956 | + | 0.778640i | ||||
\(43\) | −24.3736 | + | 30.5635i | −0.0864403 | + | 0.108393i | −0.823171 | − | 0.567794i | \(-0.807797\pi\) |
0.736731 | + | 0.676186i | \(0.236369\pi\) | |||||||
\(44\) | −259.750 | + | 39.1510i | −0.889972 | + | 0.134142i | ||||
\(45\) | −261.064 | − | 177.990i | −0.864824 | − | 0.589627i | ||||
\(46\) | −230.350 | + | 586.921i | −0.738331 | + | 1.88124i | ||||
\(47\) | −137.491 | − | 42.4104i | −0.426705 | − | 0.131621i | 0.0739619 | − | 0.997261i | \(-0.476436\pi\) |
−0.500667 | + | 0.865640i | \(0.666912\pi\) | |||||||
\(48\) | 258.361 | 0.776900 | ||||||||
\(49\) | −278.462 | + | 200.269i | −0.811843 | + | 0.583875i | ||||
\(50\) | −755.047 | −2.13560 | ||||||||
\(51\) | 809.286 | + | 249.632i | 2.22201 | + | 0.685400i | ||||
\(52\) | 307.879 | − | 784.463i | 0.821060 | − | 2.09203i | ||||
\(53\) | 625.536 | + | 426.483i | 1.62121 | + | 1.10532i | 0.919675 | + | 0.392680i | \(0.128452\pi\) |
0.701531 | + | 0.712639i | \(0.252500\pi\) | |||||||
\(54\) | −262.831 | + | 39.6155i | −0.662349 | + | 0.0998330i | ||||
\(55\) | −185.234 | + | 232.276i | −0.454125 | + | 0.569455i | ||||
\(56\) | −336.492 | + | 507.098i | −0.802957 | + | 1.21007i | ||||
\(57\) | 204.746 | + | 256.744i | 0.475777 | + | 0.596606i | ||||
\(58\) | 94.8698 | + | 88.0263i | 0.214776 | + | 0.199283i | ||||
\(59\) | 181.962 | + | 27.4264i | 0.401516 | + | 0.0605188i | 0.346696 | − | 0.937978i | \(-0.387304\pi\) |
0.0548196 | + | 0.998496i | \(0.482542\pi\) | |||||||
\(60\) | 1240.65 | − | 1151.15i | 2.66945 | − | 2.47689i | ||||
\(61\) | 417.657 | − | 284.753i | 0.876647 | − | 0.597688i | −0.0391929 | − | 0.999232i | \(-0.512479\pi\) |
0.915840 | + | 0.401544i | \(0.131526\pi\) | |||||||
\(62\) | −30.2415 | − | 132.496i | −0.0619463 | − | 0.271404i | ||||
\(63\) | −147.014 | + | 315.339i | −0.294000 | + | 0.630619i | ||||
\(64\) | 153.406 | − | 672.114i | 0.299621 | − | 1.31272i | ||||
\(65\) | −348.207 | − | 887.216i | −0.664457 | − | 1.69301i | ||||
\(66\) | −42.7165 | − | 570.012i | −0.0796672 | − | 1.06308i | ||||
\(67\) | 173.718 | + | 300.888i | 0.316762 | + | 0.548647i | 0.979810 | − | 0.199929i | \(-0.0640711\pi\) |
−0.663049 | + | 0.748576i | \(0.730738\pi\) | |||||||
\(68\) | −930.648 | + | 1611.93i | −1.65967 | + | 2.87464i | ||||
\(69\) | −803.752 | − | 387.067i | −1.40232 | − | 0.675324i | ||||
\(70\) | 240.491 | + | 1470.14i | 0.410630 | + | 2.51022i | ||||
\(71\) | 106.596 | − | 51.3340i | 0.178178 | − | 0.0858060i | −0.342668 | − | 0.939456i | \(-0.611331\pi\) |
0.520846 | + | 0.853650i | \(0.325616\pi\) | |||||||
\(72\) | −46.1327 | + | 615.598i | −0.0755109 | + | 1.00762i | ||||
\(73\) | −711.381 | + | 219.432i | −1.14056 | + | 0.351816i | −0.806790 | − | 0.590838i | \(-0.798797\pi\) |
−0.333770 | + | 0.942654i | \(0.608321\pi\) | |||||||
\(74\) | −442.769 | + | 136.576i | −0.695552 | + | 0.214550i | ||||
\(75\) | 79.8349 | − | 1065.32i | 0.122914 | − | 1.64017i | ||||
\(76\) | −650.240 | + | 313.139i | −0.981417 | + | 0.472626i | ||||
\(77\) | 285.343 | + | 160.003i | 0.422310 | + | 0.236806i | ||||
\(78\) | 1652.18 | + | 795.649i | 2.39837 | + | 1.15499i | ||||
\(79\) | −54.8915 | + | 95.0748i | −0.0781744 | + | 0.135402i | −0.902462 | − | 0.430769i | \(-0.858242\pi\) |
0.824288 | + | 0.566171i | \(0.191576\pi\) | |||||||
\(80\) | 321.094 | + | 556.150i | 0.448742 | + | 0.777244i | ||||
\(81\) | −66.0095 | − | 880.836i | −0.0905481 | − | 1.20828i | ||||
\(82\) | −606.760 | − | 1546.00i | −0.817139 | − | 2.08204i | ||||
\(83\) | 246.585 | − | 1080.36i | 0.326099 | − | 1.42873i | −0.500399 | − | 0.865795i | \(-0.666813\pi\) |
0.826498 | − | 0.562939i | \(-0.190329\pi\) | |||||||
\(84\) | −1471.51 | − | 1143.58i | −1.91136 | − | 1.48541i | ||||
\(85\) | 468.429 | + | 2052.32i | 0.597744 | + | 2.61889i | ||||
\(86\) | 154.468 | − | 105.315i | 0.193683 | − | 0.132051i | ||||
\(87\) | −134.231 | + | 124.548i | −0.165414 | + | 0.153482i | ||||
\(88\) | 573.964 | + | 86.5111i | 0.695281 | + | 0.104797i | ||||
\(89\) | −10.0282 | − | 9.30481i | −0.0119437 | − | 0.0110821i | 0.674178 | − | 0.738569i | \(-0.264498\pi\) |
−0.686122 | + | 0.727486i | \(0.740688\pi\) | |||||||
\(90\) | 942.138 | + | 1181.40i | 1.10344 | + | 1.38368i | ||||
\(91\) | −902.241 | + | 536.115i | −1.03935 | + | 0.617583i | ||||
\(92\) | 1222.42 | − | 1532.86i | 1.38528 | − | 1.73709i | ||||
\(93\) | 190.142 | − | 28.6592i | 0.212008 | − | 0.0319551i | ||||
\(94\) | 568.539 | + | 387.623i | 0.623833 | + | 0.425322i | ||||
\(95\) | −298.208 | + | 759.822i | −0.322058 | + | 0.820591i | ||||
\(96\) | 519.102 | + | 160.122i | 0.551882 | + | 0.170233i | ||||
\(97\) | 270.559 | 0.283208 | 0.141604 | − | 0.989923i | \(-0.454774\pi\) | ||||
0.141604 | + | 0.989923i | \(0.454774\pi\) | |||||||
\(98\) | 1554.85 | − | 522.683i | 1.60269 | − | 0.538765i | ||||
\(99\) | 331.839 | 0.336880 | ||||||||
\(100\) | 2243.56 | + | 692.048i | 2.24356 | + | 0.692048i | ||||
\(101\) | −347.522 | + | 885.471i | −0.342373 | + | 0.872353i | 0.651173 | + | 0.758929i | \(0.274277\pi\) |
−0.993547 | + | 0.113424i | \(0.963818\pi\) | |||||||
\(102\) | −3346.48 | − | 2281.59i | −3.24853 | − | 2.21481i | ||||
\(103\) | −170.941 | + | 25.7651i | −0.163527 | + | 0.0246477i | −0.230295 | − | 0.973121i | \(-0.573969\pi\) |
0.0667684 | + | 0.997768i | \(0.478731\pi\) | |||||||
\(104\) | −1161.02 | + | 1455.87i | −1.09469 | + | 1.37269i | ||||
\(105\) | −2099.70 | + | 183.871i | −1.95152 | + | 0.170895i | ||||
\(106\) | −2257.46 | − | 2830.76i | −2.06853 | − | 2.59385i | ||||
\(107\) | 147.600 | + | 136.952i | 0.133355 | + | 0.123735i | 0.744031 | − | 0.668145i | \(-0.232912\pi\) |
−0.610676 | + | 0.791881i | \(0.709102\pi\) | |||||||
\(108\) | 817.294 | + | 123.187i | 0.728186 | + | 0.109756i | ||||
\(109\) | 189.088 | − | 175.448i | 0.166160 | − | 0.154174i | −0.592711 | − | 0.805416i | \(-0.701942\pi\) |
0.758870 | + | 0.651242i | \(0.225752\pi\) | |||||||
\(110\) | 1173.92 | − | 800.368i | 1.01754 | − | 0.693746i | ||||
\(111\) | −145.884 | − | 639.160i | −0.124745 | − | 0.546544i | ||||
\(112\) | 547.290 | − | 447.798i | 0.461733 | − | 0.377794i | ||||
\(113\) | −229.566 | + | 1005.80i | −0.191113 | + | 0.837321i | 0.784902 | + | 0.619620i | \(0.212713\pi\) |
−0.976015 | + | 0.217702i | \(0.930144\pi\) | |||||||
\(114\) | −573.759 | − | 1461.91i | −0.471381 | − | 1.20106i | ||||
\(115\) | −165.708 | − | 2211.22i | −0.134368 | − | 1.79302i | ||||
\(116\) | −201.217 | − | 348.518i | −0.161056 | − | 0.278957i | ||||
\(117\) | −532.287 | + | 921.948i | −0.420598 | + | 0.728497i | ||||
\(118\) | −792.889 | − | 381.835i | −0.618571 | − | 0.297888i | ||||
\(119\) | 2146.99 | − | 873.877i | 1.65390 | − | 0.673178i | ||||
\(120\) | −3369.40 | + | 1622.62i | −2.56319 | + | 1.23437i | ||||
\(121\) | −76.1488 | + | 1016.13i | −0.0572117 | + | 0.763437i | ||||
\(122\) | −2310.05 | + | 712.557i | −1.71428 | + | 0.528786i | ||||
\(123\) | 2245.46 | − | 692.633i | 1.64607 | − | 0.507745i | ||||
\(124\) | −31.5812 | + | 421.421i | −0.0228715 | + | 0.305200i | ||||
\(125\) | 498.262 | − | 239.950i | 0.356527 | − | 0.171694i | ||||
\(126\) | 1116.35 | − | 1233.84i | 0.789307 | − | 0.872373i | ||||
\(127\) | 672.862 | + | 324.033i | 0.470133 | + | 0.226404i | 0.653922 | − | 0.756562i | \(-0.273122\pi\) |
−0.183790 | + | 0.982966i | \(0.558837\pi\) | |||||||
\(128\) | −1327.35 | + | 2299.04i | −0.916582 | + | 1.58757i | ||||
\(129\) | 132.260 | + | 229.080i | 0.0902698 | + | 0.156352i | ||||
\(130\) | 340.626 | + | 4545.34i | 0.229807 | + | 3.06656i | ||||
\(131\) | 358.344 | + | 913.046i | 0.238997 | + | 0.608956i | 0.999169 | − | 0.0407672i | \(-0.0129802\pi\) |
−0.760171 | + | 0.649723i | \(0.774885\pi\) | |||||||
\(132\) | −395.523 | + | 1732.90i | −0.260802 | + | 1.14265i | ||||
\(133\) | 878.713 | + | 188.993i | 0.572888 | + | 0.123216i | ||||
\(134\) | −369.734 | − | 1619.91i | −0.238360 | − | 1.04432i | ||||
\(135\) | 772.358 | − | 526.585i | 0.492400 | − | 0.335713i | ||||
\(136\) | 3014.95 | − | 2797.46i | 1.90095 | − | 1.76383i | ||||
\(137\) | −2747.24 | − | 414.079i | −1.71323 | − | 0.258228i | −0.782161 | − | 0.623076i | \(-0.785883\pi\) |
−0.931067 | + | 0.364849i | \(0.881121\pi\) | |||||||
\(138\) | 3127.46 | + | 2901.86i | 1.92918 | + | 1.79002i | ||||
\(139\) | −58.5598 | − | 73.4317i | −0.0357337 | − | 0.0448086i | 0.763644 | − | 0.645638i | \(-0.223409\pi\) |
−0.799377 | + | 0.600829i | \(0.794837\pi\) | |||||||
\(140\) | 632.876 | − | 4588.83i | 0.382056 | − | 2.77019i | ||||
\(141\) | −607.026 | + | 761.187i | −0.362559 | + | 0.454635i | ||||
\(142\) | −559.497 | + | 84.3306i | −0.330648 | + | 0.0498371i | ||||
\(143\) | 827.048 | + | 563.872i | 0.483645 | + | 0.329744i | ||||
\(144\) | 262.058 | − | 667.712i | 0.151654 | − | 0.386408i | ||||
\(145\) | −434.926 | − | 134.157i | −0.249094 | − | 0.0768353i | ||||
\(146\) | 3560.27 | 2.01815 | ||||||||
\(147\) | 573.070 | + | 2249.06i | 0.321538 | + | 1.26190i | ||||
\(148\) | 1440.84 | 0.800243 | ||||||||
\(149\) | −2832.33 | − | 873.659i | −1.55727 | − | 0.480356i | −0.607771 | − | 0.794112i | \(-0.707936\pi\) |
−0.949503 | + | 0.313757i | \(0.898412\pi\) | |||||||
\(150\) | −1866.55 | + | 4755.89i | −1.01602 | + | 2.58878i | ||||
\(151\) | 435.928 | + | 297.211i | 0.234936 | + | 0.160177i | 0.675066 | − | 0.737757i | \(-0.264115\pi\) |
−0.440130 | + | 0.897934i | \(0.645068\pi\) | |||||||
\(152\) | 1576.94 | − | 237.686i | 0.841492 | − | 0.126835i | ||||
\(153\) | 1466.02 | − | 1838.33i | 0.774644 | − | 0.971372i | ||||
\(154\) | −1078.45 | − | 1133.43i | −0.564310 | − | 0.593079i | ||||
\(155\) | 298.002 | + | 373.683i | 0.154426 | + | 0.193645i | ||||
\(156\) | −4180.07 | − | 3878.54i | −2.14534 | − | 1.99059i | ||||
\(157\) | 736.273 | + | 110.975i | 0.374274 | + | 0.0564127i | 0.333486 | − | 0.942755i | \(-0.391775\pi\) |
0.0407879 | + | 0.999168i | \(0.487013\pi\) | |||||||
\(158\) | 384.870 | − | 357.107i | 0.193789 | − | 0.179809i | ||||
\(159\) | 4232.72 | − | 2885.82i | 2.11117 | − | 1.43937i | ||||
\(160\) | 300.466 | + | 1316.43i | 0.148462 | + | 0.650454i | ||||
\(161\) | −2373.48 | + | 573.155i | −1.16184 | + | 0.280565i | ||||
\(162\) | −939.996 | + | 4118.39i | −0.455883 | + | 1.99736i | ||||
\(163\) | 97.0433 | + | 247.262i | 0.0466320 | + | 0.118816i | 0.952292 | − | 0.305188i | \(-0.0987193\pi\) |
−0.905660 | + | 0.424004i | \(0.860624\pi\) | |||||||
\(164\) | 385.935 | + | 5149.95i | 0.183759 | + | 2.45209i | ||||
\(165\) | 1005.14 | + | 1740.96i | 0.474244 | + | 0.821415i | ||||
\(166\) | −2649.78 | + | 4589.56i | −1.23893 | + | 2.14590i | ||||
\(167\) | −3424.29 | − | 1649.05i | −1.58670 | − | 0.764116i | −0.587715 | − | 0.809068i | \(-0.699972\pi\) |
−0.998989 | + | 0.0449519i | \(0.985687\pi\) | |||||||
\(168\) | 2362.27 | + | 3373.09i | 1.08484 | + | 1.54905i | ||||
\(169\) | −913.804 | + | 440.065i | −0.415933 | + | 0.200303i | ||||
\(170\) | 752.337 | − | 10039.2i | 0.339421 | − | 4.52926i | ||||
\(171\) | 871.209 | − | 268.732i | 0.389608 | − | 0.120178i | ||||
\(172\) | −555.518 | + | 171.355i | −0.246267 | + | 0.0759632i | ||||
\(173\) | −12.5456 | + | 167.410i | −0.00551344 | + | 0.0735718i | −0.999282 | − | 0.0378933i | \(-0.987935\pi\) |
0.993768 | + | 0.111465i | \(0.0355543\pi\) | |||||||
\(174\) | 788.988 | − | 379.957i | 0.343753 | − | 0.165543i | ||||
\(175\) | −1677.33 | − | 2395.06i | −0.724539 | − | 1.03457i | ||||
\(176\) | −607.656 | − | 292.632i | −0.260249 | − | 0.125329i | ||||
\(177\) | 622.581 | − | 1078.34i | 0.264385 | − | 0.457927i | ||||
\(178\) | 32.7116 | + | 56.6582i | 0.0137744 | + | 0.0238579i | ||||
\(179\) | 236.538 | + | 3156.38i | 0.0987691 | + | 1.31798i | 0.797814 | + | 0.602904i | \(0.205990\pi\) |
−0.699044 | + | 0.715078i | \(0.746391\pi\) | |||||||
\(180\) | −1716.66 | − | 4373.98i | −0.710846 | − | 1.81121i | ||||
\(181\) | −354.098 | + | 1551.41i | −0.145414 | + | 0.637100i | 0.848711 | + | 0.528857i | \(0.177379\pi\) |
−0.994125 | + | 0.108242i | \(0.965478\pi\) | |||||||
\(182\) | 4878.89 | − | 1178.17i | 1.98707 | − | 0.479845i | ||||
\(183\) | −761.118 | − | 3334.68i | −0.307451 | − | 1.34703i | ||||
\(184\) | −3579.52 | + | 2440.48i | −1.43416 | + | 0.977795i | ||||
\(185\) | 1194.56 | − | 1108.39i | 0.474732 | − | 0.440487i | ||||
\(186\) | −909.329 | − | 137.059i | −0.358469 | − | 0.0540305i | ||||
\(187\) | −1620.67 | − | 1503.76i | −0.633770 | − | 0.588053i | ||||
\(188\) | −1334.09 | − | 1672.90i | −0.517545 | − | 0.648981i | ||||
\(189\) | −709.541 | − | 745.715i | −0.273077 | − | 0.286999i | ||||
\(190\) | 2433.86 | − | 3051.96i | 0.929318 | − | 1.16533i | ||||
\(191\) | 454.857 | − | 68.5586i | 0.172316 | − | 0.0259724i | −0.0623176 | − | 0.998056i | \(-0.519849\pi\) |
0.234633 | + | 0.972084i | \(0.424611\pi\) | |||||||
\(192\) | −3854.28 | − | 2627.81i | −1.44874 | − | 0.987737i | ||||
\(193\) | 970.758 | − | 2473.45i | 0.362055 | − | 0.922502i | −0.627535 | − | 0.778588i | \(-0.715936\pi\) |
0.989590 | − | 0.143914i | \(-0.0459687\pi\) | |||||||
\(194\) | −1236.43 | − | 381.389i | −0.457581 | − | 0.141145i | ||||
\(195\) | −6449.20 | −2.36839 | ||||||||
\(196\) | −5099.20 | + | 127.993i | −1.85831 | + | 0.0466446i | ||||
\(197\) | −529.338 | −0.191440 | −0.0957201 | − | 0.995408i | \(-0.530515\pi\) | ||||
−0.0957201 | + | 0.995408i | \(0.530515\pi\) | |||||||
\(198\) | −1516.48 | − | 467.771i | −0.544299 | − | 0.167894i | ||||
\(199\) | −228.370 | + | 581.878i | −0.0813505 | + | 0.207278i | −0.965762 | − | 0.259431i | \(-0.916465\pi\) |
0.884411 | + | 0.466709i | \(0.154560\pi\) | |||||||
\(200\) | −4286.57 | − | 2922.53i | −1.51553 | − | 1.03327i | ||||
\(201\) | 2324.68 | − | 350.390i | 0.815774 | − | 0.122958i | ||||
\(202\) | 2836.33 | − | 3556.65i | 0.987938 | − | 1.23884i | ||||
\(203\) | −68.4733 | + | 496.483i | −0.0236743 | + | 0.171657i | ||||
\(204\) | 7852.58 | + | 9846.82i | 2.69505 | + | 3.37949i | ||||
\(205\) | 4281.65 | + | 3972.79i | 1.45875 | + | 1.35352i | ||||
\(206\) | 817.502 | + | 123.219i | 0.276496 | + | 0.0416750i | ||||
\(207\) | −1815.59 | + | 1684.63i | −0.609626 | + | 0.565650i | ||||
\(208\) | 1787.73 | − | 1218.85i | 0.595946 | − | 0.406309i | ||||
\(209\) | −190.756 | − | 835.758i | −0.0631334 | − | 0.276606i | ||||
\(210\) | 9854.64 | + | 2119.53i | 3.23826 | + | 0.696482i | ||||
\(211\) | 1119.70 | − | 4905.72i | 0.365323 | − | 1.60059i | −0.374129 | − | 0.927377i | \(-0.622058\pi\) |
0.739452 | − | 0.673209i | \(-0.235085\pi\) | |||||||
\(212\) | 4113.29 | + | 10480.5i | 1.33256 | + | 3.39530i | ||||
\(213\) | −59.8266 | − | 798.331i | −0.0192453 | − | 0.256811i | ||||
\(214\) | −481.465 | − | 833.921i | −0.153795 | − | 0.266382i | ||||
\(215\) | −328.747 | + | 569.406i | −0.104281 | + | 0.180619i | ||||
\(216\) | −1645.49 | − | 792.426i | −0.518340 | − | 0.249619i | ||||
\(217\) | 353.107 | − | 390.268i | 0.110463 | − | 0.122088i | ||||
\(218\) | −1111.44 | + | 535.239i | −0.345302 | + | 0.166289i | ||||
\(219\) | −376.445 | + | 5023.31i | −0.116154 | + | 1.54997i | ||||
\(220\) | −4221.81 | + | 1302.26i | −1.29379 | + | 0.399082i | ||||
\(221\) | 6777.53 | − | 2090.59i | 2.06292 | − | 0.636327i | ||||
\(222\) | −234.302 | + | 3126.55i | −0.0708349 | + | 0.945226i | ||||
\(223\) | −1424.68 | + | 686.092i | −0.427820 | + | 0.206027i | −0.635388 | − | 0.772193i | \(-0.719160\pi\) |
0.207567 | + | 0.978221i | \(0.433445\pi\) | |||||||
\(224\) | 1377.15 | − | 560.533i | 0.410780 | − | 0.167197i | ||||
\(225\) | −2672.26 | − | 1286.89i | −0.791781 | − | 0.381302i | ||||
\(226\) | 2466.90 | − | 4272.79i | 0.726087 | − | 1.25762i | ||||
\(227\) | −366.691 | − | 635.128i | −0.107217 | − | 0.185704i | 0.807425 | − | 0.589970i | \(-0.200860\pi\) |
−0.914642 | + | 0.404266i | \(0.867527\pi\) | |||||||
\(228\) | 364.945 | + | 4869.85i | 0.106005 | + | 1.41453i | ||||
\(229\) | −1323.84 | − | 3373.09i | −0.382017 | − | 0.973363i | −0.984524 | − | 0.175250i | \(-0.943927\pi\) |
0.602507 | − | 0.798114i | \(-0.294169\pi\) | |||||||
\(230\) | −2359.73 | + | 10338.6i | −0.676504 | + | 2.96396i | ||||
\(231\) | 1713.22 | − | 1401.78i | 0.487973 | − | 0.399264i | ||||
\(232\) | 197.877 | + | 866.954i | 0.0559967 | + | 0.245337i | ||||
\(233\) | 4133.19 | − | 2817.96i | 1.16212 | − | 0.792322i | 0.180579 | − | 0.983561i | \(-0.442203\pi\) |
0.981544 | + | 0.191239i | \(0.0612505\pi\) | |||||||
\(234\) | 3732.11 | − | 3462.89i | 1.04263 | − | 0.967421i | ||||
\(235\) | −2392.96 | − | 360.680i | −0.664252 | − | 0.100120i | ||||
\(236\) | 2006.03 | + | 1861.33i | 0.553312 | + | 0.513398i | ||||
\(237\) | 463.161 | + | 580.785i | 0.126943 | + | 0.159182i | ||||
\(238\) | −11043.4 | + | 967.074i | −3.00772 | + | 0.263387i | ||||
\(239\) | −2494.19 | + | 3127.62i | −0.675045 | + | 0.846480i | −0.994887 | − | 0.100991i | \(-0.967799\pi\) |
0.319842 | + | 0.947471i | \(0.396370\pi\) | |||||||
\(240\) | 4296.86 | − | 647.647i | 1.15567 | − | 0.174189i | ||||
\(241\) | −1377.69 | − | 939.294i | −0.368236 | − | 0.251059i | 0.365038 | − | 0.930993i | \(-0.381056\pi\) |
−0.733274 | + | 0.679934i | \(0.762009\pi\) | |||||||
\(242\) | 1780.37 | − | 4536.30i | 0.472919 | − | 1.20498i | ||||
\(243\) | −4277.43 | − | 1319.41i | −1.12921 | − | 0.348314i | ||||
\(244\) | 7517.24 | 1.97230 | ||||||||
\(245\) | −4129.14 | + | 4028.76i | −1.07674 | + | 1.05056i | ||||
\(246\) | −11237.9 | −2.91261 | ||||||||
\(247\) | 2627.97 | + | 810.621i | 0.676978 | + | 0.208820i | ||||
\(248\) | 341.162 | − | 869.266i | 0.0873540 | − | 0.222574i | ||||
\(249\) | −6195.39 | − | 4223.95i | −1.57678 | − | 1.07503i | ||||
\(250\) | −2615.25 | + | 394.186i | −0.661613 | + | 0.0997220i | ||||
\(251\) | −2372.34 | + | 2974.82i | −0.596576 | + | 0.748082i | −0.984840 | − | 0.173466i | \(-0.944503\pi\) |
0.388264 | + | 0.921548i | \(0.373075\pi\) | |||||||
\(252\) | −4448.05 | + | 2643.05i | −1.11191 | + | 0.660699i | ||||
\(253\) | 1451.99 | + | 1820.74i | 0.360813 | + | 0.452445i | ||||
\(254\) | −2618.15 | − | 2429.29i | −0.646762 | − | 0.600107i | ||||
\(255\) | 14085.2 | + | 2123.00i | 3.45901 | + | 0.521362i | ||||
\(256\) | 5263.77 | − | 4884.06i | 1.28510 | − | 1.19240i | ||||
\(257\) | −433.298 | + | 295.418i | −0.105169 | + | 0.0717029i | −0.614762 | − | 0.788712i | \(-0.710748\pi\) |
0.509594 | + | 0.860415i | \(0.329796\pi\) | |||||||
\(258\) | −281.496 | − | 1233.31i | −0.0679270 | − | 0.297608i | ||||
\(259\) | −1416.84 | − | 1101.09i | −0.339915 | − | 0.264164i | ||||
\(260\) | 3153.95 | − | 13818.3i | 0.752306 | − | 3.29607i | ||||
\(261\) | 185.732 | + | 473.237i | 0.0440480 | + | 0.112232i | ||||
\(262\) | −350.543 | − | 4677.67i | −0.0826589 | − | 1.10301i | ||||
\(263\) | −2614.20 | − | 4527.92i | −0.612922 | − | 1.06161i | −0.990745 | − | 0.135734i | \(-0.956661\pi\) |
0.377824 | − | 0.925877i | \(-0.376672\pi\) | |||||||
\(264\) | 1963.81 | − | 3401.42i | 0.457819 | − | 0.792966i | ||||
\(265\) | 11472.5 | + | 5524.87i | 2.65943 | + | 1.28072i | ||||
\(266\) | −3749.23 | − | 2102.34i | −0.864211 | − | 0.484597i | ||||
\(267\) | −83.3999 | + | 40.1633i | −0.0191161 | + | 0.00920581i | ||||
\(268\) | −386.114 | + | 5152.33i | −0.0880061 | + | 1.17436i | ||||
\(269\) | 5028.36 | − | 1551.04i | 1.13972 | − | 0.351557i | 0.333254 | − | 0.942837i | \(-0.391853\pi\) |
0.806466 | + | 0.591280i | \(0.201377\pi\) | |||||||
\(270\) | −4271.90 | + | 1317.71i | −0.962887 | + | 0.297011i | ||||
\(271\) | −367.711 | + | 4906.76i | −0.0824237 | + | 1.09987i | 0.790646 | + | 0.612273i | \(0.209745\pi\) |
−0.873070 | + | 0.487595i | \(0.837874\pi\) | |||||||
\(272\) | −4305.66 | + | 2073.50i | −0.959814 | + | 0.462222i | ||||
\(273\) | 1146.45 | + | 7008.37i | 0.254163 | + | 1.55372i | ||||
\(274\) | 11970.9 | + | 5764.90i | 2.63938 | + | 1.27106i | ||||
\(275\) | −1394.40 | + | 2415.18i | −0.305766 | + | 0.529603i | ||||
\(276\) | −6633.26 | − | 11489.1i | −1.44665 | − | 2.50567i | ||||
\(277\) | −62.3335 | − | 831.783i | −0.0135208 | − | 0.180422i | −0.999875 | − | 0.0157875i | \(-0.994974\pi\) |
0.986355 | − | 0.164635i | \(-0.0526446\pi\) | |||||||
\(278\) | 164.102 | + | 418.124i | 0.0354035 | + | 0.0902066i | ||||
\(279\) | 118.795 | − | 520.474i | 0.0254913 | − | 0.111685i | ||||
\(280\) | −4325.10 | + | 9277.16i | −0.923121 | + | 1.98006i | ||||
\(281\) | 1045.56 | + | 4580.88i | 0.221967 | + | 0.972501i | 0.955995 | + | 0.293382i | \(0.0947807\pi\) |
−0.734028 | + | 0.679119i | \(0.762362\pi\) | |||||||
\(282\) | 3847.05 | − | 2622.87i | 0.812370 | − | 0.553865i | ||||
\(283\) | −6763.02 | + | 6275.17i | −1.42057 | + | 1.31809i | −0.542077 | + | 0.840329i | \(0.682362\pi\) |
−0.878488 | + | 0.477764i | \(0.841448\pi\) | |||||||
\(284\) | 1739.80 | + | 262.232i | 0.363514 | + | 0.0547909i | ||||
\(285\) | 4048.77 | + | 3756.71i | 0.841504 | + | 0.780801i | ||||
\(286\) | −2984.69 | − | 3742.68i | −0.617092 | − | 0.773808i | ||||
\(287\) | 3556.11 | − | 5359.11i | 0.731395 | − | 1.10222i | ||||
\(288\) | 940.352 | − | 1179.16i | 0.192398 | − | 0.241260i | ||||
\(289\) | −10632.3 | + | 1602.56i | −2.16412 | + | 0.326188i | ||||
\(290\) | 1798.46 | + | 1226.17i | 0.364170 | + | 0.248287i | ||||
\(291\) | 668.849 | − | 1704.20i | 0.134738 | − | 0.343306i | ||||
\(292\) | −10579.1 | − | 3263.21i | −2.12018 | − | 0.653989i | ||||
\(293\) | −4854.63 | −0.967955 | −0.483977 | − | 0.875081i | \(-0.660808\pi\) | ||||
−0.483977 | + | 0.875081i | \(0.660808\pi\) | |||||||
\(294\) | 551.471 | − | 11085.8i | 0.109396 | − | 2.19911i | ||||
\(295\) | 3095.00 | 0.610840 | ||||||||
\(296\) | −3042.34 | − | 938.437i | −0.597406 | − | 0.184275i | ||||
\(297\) | −358.673 | + | 913.883i | −0.0700751 | + | 0.178548i | ||||
\(298\) | 11712.0 | + | 7985.09i | 2.27670 | + | 1.55223i | ||||
\(299\) | −7387.61 | + | 1113.50i | −1.42888 | + | 0.215370i | ||||
\(300\) | 9905.39 | − | 12421.0i | 1.90629 | − | 2.39042i | ||||
\(301\) | 677.215 | + | 256.029i | 0.129681 | + | 0.0490274i | ||||
\(302\) | −1573.20 | − | 1972.73i | −0.299759 | − | 0.375886i | ||||
\(303\) | 4718.30 | + | 4377.94i | 0.894585 | + | 0.830054i | ||||
\(304\) | −1832.32 | − | 276.178i | −0.345693 | − | 0.0521048i | ||||
\(305\) | 6232.33 | − | 5782.76i | 1.17004 | − | 1.08564i | ||||
\(306\) | −9290.94 | + | 6334.45i | −1.73571 | + | 1.18339i | ||||
\(307\) | −1468.92 | − | 6435.76i | −0.273080 | − | 1.19644i | −0.906355 | − | 0.422516i | \(-0.861147\pi\) |
0.633275 | − | 0.773927i | \(-0.281710\pi\) | |||||||
\(308\) | 2165.66 | + | 4356.36i | 0.400650 | + | 0.805930i | ||||
\(309\) | −260.292 | + | 1140.41i | −0.0479207 | + | 0.209954i | ||||
\(310\) | −835.088 | − | 2127.77i | −0.152999 | − | 0.389836i | ||||
\(311\) | 461.972 | + | 6164.59i | 0.0842316 | + | 1.12399i | 0.865873 | + | 0.500264i | \(0.166764\pi\) |
−0.781641 | + | 0.623728i | \(0.785617\pi\) | |||||||
\(312\) | 6300.11 | + | 10912.1i | 1.14318 | + | 1.98005i | ||||
\(313\) | 3441.16 | − | 5960.26i | 0.621424 | − | 1.07634i | −0.367797 | − | 0.929906i | \(-0.619888\pi\) |
0.989221 | − | 0.146432i | \(-0.0467789\pi\) | |||||||
\(314\) | −3208.27 | − | 1545.02i | −0.576602 | − | 0.277677i | ||||
\(315\) | −1654.54 | + | 5613.00i | −0.295946 | + | 1.00399i | ||||
\(316\) | −1470.92 | + | 708.359i | −0.261854 | + | 0.126102i | ||||
\(317\) | −259.804 | + | 3466.84i | −0.0460317 | + | 0.614250i | 0.925715 | + | 0.378223i | \(0.123465\pi\) |
−0.971746 | + | 0.236028i | \(0.924154\pi\) | |||||||
\(318\) | −23411.1 | + | 7221.36i | −4.12839 | + | 1.27344i | ||||
\(319\) | 456.774 | − | 140.896i | 0.0801707 | − | 0.0247294i | ||||
\(320\) | 866.499 | − | 11562.6i | 0.151371 | − | 2.01991i | ||||
\(321\) | 1227.52 | − | 591.141i | 0.213437 | − | 0.102786i | ||||
\(322\) | 11654.5 | + | 726.458i | 2.01702 | + | 0.125726i | ||||
\(323\) | −5472.68 | − | 2635.50i | −0.942749 | − | 0.454004i | ||||
\(324\) | 6567.89 | − | 11375.9i | 1.12618 | − | 1.95060i | ||||
\(325\) | −4473.39 | − | 7748.14i | −0.763505 | − | 1.32243i | ||||
\(326\) | −94.9307 | − | 1266.76i | −0.0161280 | − | 0.215213i | ||||
\(327\) | −637.670 | − | 1624.76i | −0.107839 | − | 0.274768i | ||||
\(328\) | 2539.33 | − | 11125.5i | 0.427473 | − | 1.87288i | ||||
\(329\) | 33.4355 | + | 2664.55i | 0.00560292 | + | 0.446509i | ||||
\(330\) | −2139.31 | − | 9372.91i | −0.356863 | − | 1.56352i | ||||
\(331\) | −5520.83 | + | 3764.04i | −0.916774 | + | 0.625046i | −0.927065 | − | 0.374901i | \(-0.877677\pi\) |
0.0102911 | + | 0.999947i | \(0.496724\pi\) | |||||||
\(332\) | 12080.2 | − | 11208.8i | 1.99696 | − | 1.85290i | ||||
\(333\) | −1799.83 | − | 271.280i | −0.296186 | − | 0.0446428i | ||||
\(334\) | 13324.2 | + | 12363.0i | 2.18283 | + | 2.02537i | ||||
\(335\) | 3643.39 | + | 4568.67i | 0.594208 | + | 0.745114i | ||||
\(336\) | −1467.64 | − | 4554.28i | −0.238292 | − | 0.739453i | ||||
\(337\) | 2120.79 | − | 2659.39i | 0.342810 | − | 0.429870i | −0.580302 | − | 0.814401i | \(-0.697066\pi\) |
0.923112 | + | 0.384532i | \(0.125637\pi\) | |||||||
\(338\) | 4796.33 | − | 722.931i | 0.771852 | − | 0.116338i | ||||
\(339\) | 5767.80 | + | 3932.42i | 0.924082 | + | 0.630029i | ||||
\(340\) | −11437.1 | + | 29141.3i | −1.82431 | + | 4.64825i | ||||
\(341\) | −479.667 | − | 147.958i | −0.0761743 | − | 0.0234967i | ||||
\(342\) | −4360.16 | −0.689387 | ||||||||
\(343\) | 5112.08 | + | 3770.97i | 0.804742 | + | 0.593625i | ||||
\(344\) | 1284.59 | 0.201338 | ||||||||
\(345\) | −14337.7 | − | 4422.58i | −2.23743 | − | 0.690156i | ||||
\(346\) | 293.318 | − | 747.363i | 0.0455748 | − | 0.116123i | ||||
\(347\) | 4512.68 | + | 3076.69i | 0.698136 | + | 0.475981i | 0.859646 | − | 0.510890i | \(-0.170684\pi\) |
−0.161510 | + | 0.986871i | \(0.551636\pi\) | |||||||
\(348\) | −2692.67 | + | 405.855i | −0.414777 | + | 0.0625176i | ||||
\(349\) | 537.353 | − | 673.819i | 0.0824179 | − | 0.103349i | −0.738913 | − | 0.673801i | \(-0.764661\pi\) |
0.821331 | + | 0.570452i | \(0.193232\pi\) | |||||||
\(350\) | 4289.10 | + | 13309.6i | 0.655034 | + | 2.03266i | ||||
\(351\) | −1963.71 | − | 2462.41i | −0.298619 | − | 0.374456i | ||||
\(352\) | −1039.55 | − | 964.561i | −0.157410 | − | 0.146055i | ||||
\(353\) | −9090.25 | − | 1370.13i | −1.37061 | − | 0.206586i | −0.577861 | − | 0.816135i | \(-0.696113\pi\) |
−0.792748 | + | 0.609549i | \(0.791351\pi\) | |||||||
\(354\) | −4365.21 | + | 4050.32i | −0.655390 | + | 0.608113i | ||||
\(355\) | 1644.14 | − | 1120.96i | 0.245808 | − | 0.167589i | ||||
\(356\) | −45.2693 | − | 198.338i | −0.00673952 | − | 0.0295278i | ||||
\(357\) | −196.805 | − | 15683.8i | −0.0291765 | − | 2.32514i | ||||
\(358\) | 3368.37 | − | 14757.8i | 0.497274 | − | 2.17870i | ||||
\(359\) | 1025.39 | + | 2612.66i | 0.150747 | + | 0.384097i | 0.986221 | − | 0.165433i | \(-0.0529021\pi\) |
−0.835474 | + | 0.549530i | \(0.814807\pi\) | |||||||
\(360\) | 775.908 | + | 10353.8i | 0.113594 | + | 1.51581i | ||||
\(361\) | 2251.87 | + | 3900.35i | 0.328309 | + | 0.568648i | ||||
\(362\) | 3805.11 | − | 6590.64i | 0.552464 | − | 0.956896i | ||||
\(363\) | 6212.19 | + | 2991.63i | 0.898224 | + | 0.432562i | ||||
\(364\) | −15577.1 | − | 970.963i | −2.24303 | − | 0.139814i | ||||
\(365\) | −11281.1 | + | 5432.68i | −1.61775 | + | 0.779067i | ||||
\(366\) | −1222.42 | + | 16312.1i | −0.174582 | + | 2.32963i | ||||
\(367\) | −848.876 | + | 261.843i | −0.120738 | + | 0.0372428i | −0.354536 | − | 0.935043i | \(-0.615361\pi\) |
0.233797 | + | 0.972285i | \(0.424885\pi\) | |||||||
\(368\) | 4810.26 | − | 1483.77i | 0.681392 | − | 0.210182i | ||||
\(369\) | 487.538 | − | 6505.75i | 0.0687811 | − | 0.917820i | ||||
\(370\) | −7021.43 | + | 3381.34i | −0.986558 | + | 0.475101i | ||||
\(371\) | 3964.46 | − | 13449.3i | 0.554783 | − | 1.88209i | ||||
\(372\) | 2576.38 | + | 1240.72i | 0.359083 | + | 0.172925i | ||||
\(373\) | 4149.02 | − | 7186.32i | 0.575947 | − | 0.997570i | −0.419991 | − | 0.907528i | \(-0.637967\pi\) |
0.995938 | − | 0.0900416i | \(-0.0287000\pi\) | |||||||
\(374\) | 5286.56 | + | 9156.60i | 0.730913 | + | 1.26598i | ||||
\(375\) | −279.647 | − | 3731.63i | −0.0385091 | − | 0.513869i | ||||
\(376\) | 1727.36 | + | 4401.25i | 0.236920 | + | 0.603662i | ||||
\(377\) | −341.238 | + | 1495.06i | −0.0466171 | + | 0.204243i | ||||
\(378\) | 2191.36 | + | 4408.04i | 0.298178 | + | 0.599802i | ||||
\(379\) | 337.696 | + | 1479.54i | 0.0457685 | + | 0.200525i | 0.992643 | − | 0.121079i | \(-0.0386353\pi\) |
−0.946874 | + | 0.321604i | \(0.895778\pi\) | |||||||
\(380\) | −10029.3 | + | 6837.88i | −1.35393 | + | 0.923094i | ||||
\(381\) | 3704.40 | − | 3437.18i | 0.498116 | − | 0.462184i | ||||
\(382\) | −2175.30 | − | 327.873i | −0.291356 | − | 0.0439148i | ||||
\(383\) | −10122.2 | − | 9392.03i | −1.35045 | − | 1.25303i | −0.940013 | − | 0.341139i | \(-0.889187\pi\) |
−0.410432 | − | 0.911891i | \(-0.634622\pi\) | |||||||
\(384\) | 11199.9 | + | 14044.2i | 1.48839 | + | 1.86638i | ||||
\(385\) | 5146.69 | + | 1945.76i | 0.681297 | + | 0.257572i | ||||
\(386\) | −7922.93 | + | 9935.04i | −1.04473 | + | 1.31005i | ||||
\(387\) | 726.191 | − | 109.456i | 0.0953859 | − | 0.0143771i | ||||
\(388\) | 3324.40 | + | 2266.54i | 0.434976 | + | 0.296562i | ||||
\(389\) | −948.632 | + | 2417.07i | −0.123644 | + | 0.315040i | −0.979271 | − | 0.202552i | \(-0.935076\pi\) |
0.855627 | + | 0.517592i | \(0.173172\pi\) | |||||||
\(390\) | 29472.3 | + | 9091.00i | 3.82663 | + | 1.18036i | ||||
\(391\) | 16501.2 | 2.13428 | ||||||||
\(392\) | 10850.4 | + | 3050.93i | 1.39803 | + | 0.393099i | ||||
\(393\) | 6636.96 | 0.851884 | ||||||||
\(394\) | 2419.03 | + | 746.171i | 0.309312 | + | 0.0954100i | ||||
\(395\) | −674.583 | + | 1718.81i | −0.0859290 | + | 0.218943i | ||||
\(396\) | 4077.35 | + | 2779.89i | 0.517410 | + | 0.352764i | ||||
\(397\) | −2942.29 | + | 443.479i | −0.371963 | + | 0.0560644i | −0.332364 | − | 0.943151i | \(-0.607846\pi\) |
−0.0395991 | + | 0.999216i | \(0.512608\pi\) | |||||||
\(398\) | 1863.87 | − | 2337.21i | 0.234742 | − | 0.294357i | ||||
\(399\) | 3362.69 | − | 5067.63i | 0.421918 | − | 0.635837i | ||||
\(400\) | 3758.54 | + | 4713.06i | 0.469817 | + | 0.589132i | ||||
\(401\) | 9180.74 | + | 8518.48i | 1.14330 | + | 1.06083i | 0.997439 | + | 0.0715244i | \(0.0227864\pi\) |
0.145863 | + | 0.989305i | \(0.453404\pi\) | |||||||
\(402\) | −11117.5 | − | 1675.70i | −1.37933 | − | 0.207901i | ||||
\(403\) | 1180.48 | − | 1095.33i | 0.145916 | − | 0.135390i | ||||
\(404\) | −11687.8 | + | 7968.63i | −1.43933 | + | 0.981322i | ||||
\(405\) | −3305.86 | − | 14483.9i | −0.405603 | − | 1.77706i | ||||
\(406\) | 1012.78 | − | 2172.36i | 0.123801 | − | 0.265548i | ||||
\(407\) | −380.828 | + | 1668.52i | −0.0463807 | + | 0.203207i | ||||
\(408\) | −10167.4 | − | 25906.2i | −1.23373 | − | 3.14349i | ||||
\(409\) | −682.883 | − | 9112.43i | −0.0825584 | − | 1.10166i | −0.872543 | − | 0.488538i | \(-0.837530\pi\) |
0.789984 | − | 0.613127i | \(-0.210089\pi\) | |||||||
\(410\) | −13966.6 | − | 24190.8i | −1.68234 | − | 2.91390i | ||||
\(411\) | −9399.64 | + | 16280.7i | −1.12810 | + | 1.95393i | ||||
\(412\) | −2316.21 | − | 1115.43i | −0.276969 | − | 0.133381i | ||||
\(413\) | −550.187 | − | 3363.34i | −0.0655519 | − | 0.400725i | ||||
\(414\) | 10671.8 | − | 5139.27i | 1.26689 | − | 0.610100i | ||||
\(415\) | 1392.81 | − | 18585.8i | 0.164748 | − | 2.19841i | ||||
\(416\) | 4347.33 | − | 1340.97i | 0.512369 | − | 0.158045i | ||||
\(417\) | −607.298 | + | 187.327i | −0.0713177 | + | 0.0219986i | ||||
\(418\) | −306.371 | + | 4088.24i | −0.0358495 | + | 0.478378i | ||||
\(419\) | −8615.21 | + | 4148.87i | −1.00449 | + | 0.483736i | −0.862459 | − | 0.506127i | \(-0.831077\pi\) |
−0.142029 | + | 0.989863i | \(0.545363\pi\) | |||||||
\(420\) | −27339.6 | − | 15330.4i | −3.17628 | − | 1.78107i | ||||
\(421\) | −7401.55 | − | 3564.40i | −0.856839 | − | 0.412632i | −0.0467276 | − | 0.998908i | \(-0.514879\pi\) |
−0.810112 | + | 0.586276i | \(0.800594\pi\) | |||||||
\(422\) | −12032.2 | + | 20840.3i | −1.38796 | + | 2.40401i | ||||
\(423\) | 1351.51 | + | 2340.89i | 0.155349 | + | 0.269073i | ||||
\(424\) | −1859.16 | − | 24808.7i | −0.212945 | − | 2.84155i | ||||
\(425\) | 7219.37 | + | 18394.7i | 0.823978 | + | 2.09946i | ||||
\(426\) | −851.950 | + | 3732.64i | −0.0968946 | + | 0.424523i | ||||
\(427\) | −7392.04 | − | 5744.71i | −0.837765 | − | 0.651068i | ||||
\(428\) | 666.294 | + | 2919.22i | 0.0752489 | + | 0.329687i | ||||
\(429\) | 5596.26 | − | 3815.47i | 0.629814 | − | 0.429400i | ||||
\(430\) | 2305.00 | − | 2138.72i | 0.258504 | − | 0.239857i | ||||
\(431\) | 5284.27 | + | 796.476i | 0.590567 | + | 0.0890137i | 0.437526 | − | 0.899206i | \(-0.355855\pi\) |
0.153042 | + | 0.988220i | \(0.451093\pi\) | |||||||
\(432\) | 1555.63 | + | 1443.41i | 0.173253 | + | 0.160755i | ||||
\(433\) | −1821.02 | − | 2283.48i | −0.202107 | − | 0.253434i | 0.670441 | − | 0.741963i | \(-0.266105\pi\) |
−0.872548 | + | 0.488529i | \(0.837534\pi\) | |||||||
\(434\) | −2163.80 | + | 1285.74i | −0.239322 | + | 0.142206i | ||||
\(435\) | −1920.21 | + | 2407.86i | −0.211648 | + | 0.265398i | ||||
\(436\) | 3793.12 | − | 571.722i | 0.416646 | − | 0.0627993i | ||||
\(437\) | 5286.52 | + | 3604.29i | 0.578693 | + | 0.394546i | ||||
\(438\) | 8801.34 | − | 22425.4i | 0.960146 | − | 2.44641i | ||||
\(439\) | −7382.12 | − | 2277.08i | −0.802573 | − | 0.247561i | −0.133781 | − | 0.991011i | \(-0.542712\pi\) |
−0.668791 | + | 0.743450i | \(0.733188\pi\) | |||||||
\(440\) | 9762.58 | 1.05776 | ||||||||
\(441\) | 6393.79 | + | 800.194i | 0.690399 | + | 0.0864047i | ||||
\(442\) | −33919.7 | −3.65021 | ||||||||
\(443\) | −5363.29 | − | 1654.35i | −0.575209 | − | 0.177428i | −0.00651640 | − | 0.999979i | \(-0.502074\pi\) |
−0.568692 | + | 0.822550i | \(0.692550\pi\) | |||||||
\(444\) | 3561.89 | − | 9075.54i | 0.380720 | − | 0.970059i | ||||
\(445\) | −190.106 | − | 129.612i | −0.0202514 | − | 0.0138072i | ||||
\(446\) | 7477.82 | − | 1127.10i | 0.793913 | − | 0.119663i | ||||
\(447\) | −12504.8 | + | 15680.5i | −1.32317 | + | 1.65920i | ||||
\(448\) | −12719.2 | + | 1113.82i | −1.34135 | + | 0.117462i | ||||
\(449\) | 5766.71 | + | 7231.23i | 0.606120 | + | 0.760051i | 0.986318 | − | 0.164854i | \(-0.0527154\pi\) |
−0.380197 | + | 0.924905i | \(0.624144\pi\) | |||||||
\(450\) | 10398.0 | + | 9647.89i | 1.08925 | + | 1.01068i | ||||
\(451\) | −6065.75 | − | 914.265i | −0.633315 | − | 0.0954569i | ||||
\(452\) | −11246.5 | + | 10435.2i | −1.17033 | + | 1.08591i | ||||
\(453\) | 2949.73 | − | 2011.09i | 0.305939 | − | 0.208586i | ||||
\(454\) | 780.451 | + | 3419.38i | 0.0806792 | + | 0.353479i | ||||
\(455\) | −13661.5 | + | 11177.9i | −1.40760 | + | 1.15171i | ||||
\(456\) | 2401.22 | − | 10520.4i | 0.246595 | − | 1.08040i | ||||
\(457\) | 1844.50 | + | 4699.72i | 0.188801 | + | 0.481058i | 0.993662 | − | 0.112405i | \(-0.0358555\pi\) |
−0.804861 | + | 0.593463i | \(0.797760\pi\) | |||||||
\(458\) | 1295.02 | + | 17280.9i | 0.132123 | + | 1.76306i | ||||
\(459\) | 3478.18 | + | 6024.38i | 0.353698 | + | 0.612624i | ||||
\(460\) | 16487.8 | − | 28557.7i | 1.67119 | − | 2.89458i | ||||
\(461\) | 1.44924 | + | 0.697918i | 0.000146416 | + | 7.05103e-5i | 0.433957 | − | 0.900934i | \(-0.357117\pi\) |
−0.433811 | + | 0.901004i | \(0.642831\pi\) | |||||||
\(462\) | −9805.27 | + | 3990.98i | −0.987408 | + | 0.401899i | ||||
\(463\) | 11108.6 | − | 5349.60i | 1.11503 | − | 0.536969i | 0.216675 | − | 0.976244i | \(-0.430479\pi\) |
0.898353 | + | 0.439274i | \(0.144764\pi\) | |||||||
\(464\) | 77.2155 | − | 1030.37i | 0.00772552 | − | 0.103090i | ||||
\(465\) | 3090.44 | − | 953.275i | 0.308206 | − | 0.0950690i | ||||
\(466\) | −22860.6 | + | 7051.57i | −2.27253 | + | 0.700982i | ||||
\(467\) | 630.982 | − | 8419.86i | 0.0625232 | − | 0.834314i | −0.874495 | − | 0.485034i | \(-0.838807\pi\) |
0.937018 | − | 0.349280i | \(-0.113574\pi\) | |||||||
\(468\) | −14263.6 | + | 6869.01i | −1.40884 | + | 0.678461i | ||||
\(469\) | 4317.11 | − | 4771.44i | 0.425044 | − | 0.469776i | ||||
\(470\) | 10427.2 | + | 5021.46i | 1.02334 | + | 0.492814i | ||||
\(471\) | 2519.15 | − | 4363.29i | 0.246446 | − | 0.426858i | ||||
\(472\) | −3023.45 | − | 5236.77i | −0.294842 | − | 0.510682i | ||||
\(473\) | −51.6028 | − | 688.592i | −0.00501628 | − | 0.0669376i | ||||
\(474\) | −1297.91 | − | 3307.02i | −0.125770 | − | 0.320457i | ||||
\(475\) | −1704.98 | + | 7470.02i | −0.164695 | + | 0.721575i | ||||
\(476\) | 33701.0 | + | 7248.39i | 3.24513 | + | 0.697961i | ||||
\(477\) | −3164.87 | − | 13866.2i | −0.303794 | − | 1.33101i | ||||
\(478\) | 15807.0 | − | 10777.0i | 1.51254 | − | 1.03124i | ||||
\(479\) | −3443.66 | + | 3195.25i | −0.328486 | + | 0.304791i | −0.827124 | − | 0.562020i | \(-0.810024\pi\) |
0.498638 | + | 0.866811i | \(0.333834\pi\) | |||||||
\(480\) | 9034.69 | + | 1361.76i | 0.859115 | + | 0.129491i | ||||
\(481\) | −4024.77 | − | 3734.44i | −0.381525 | − | 0.354004i | ||||
\(482\) | 4971.87 | + | 6234.53i | 0.469839 | + | 0.589160i | ||||
\(483\) | −2257.28 | + | 16367.0i | −0.212649 | + | 1.54187i | ||||
\(484\) | −9448.03 | + | 11847.5i | −0.887306 | + | 1.11265i | ||||
\(485\) | 4499.73 | − | 678.225i | 0.421283 | − | 0.0634982i | ||||
\(486\) | 17687.6 | + | 12059.2i | 1.65088 | + | 1.12555i | ||||
\(487\) | 3994.57 | − | 10178.0i | 0.371686 | − | 0.947041i | −0.615596 | − | 0.788062i | \(-0.711085\pi\) |
0.987282 | − | 0.158979i | \(-0.0508202\pi\) | |||||||
\(488\) | −15872.7 | − | 4896.09i | −1.47239 | − | 0.454171i | ||||
\(489\) | 1797.36 | 0.166215 | ||||||||
\(490\) | 24548.9 | − | 12590.5i | 2.26328 | − | 1.16078i | ||||
\(491\) | 14324.0 | 1.31657 | 0.658284 | − | 0.752770i | \(-0.271283\pi\) | ||||
0.658284 | + | 0.752770i | \(0.271283\pi\) | |||||||
\(492\) | 33392.6 | + | 10300.2i | 3.05987 | + | 0.943844i | ||||
\(493\) | 1237.42 | − | 3152.90i | 0.113044 | − | 0.288032i | ||||
\(494\) | −10866.9 | − | 7408.93i | −0.989727 | − | 0.674784i | ||||
\(495\) | 5518.89 | − | 831.838i | 0.501122 | − | 0.0755320i | ||||
\(496\) | −676.514 | + | 848.322i | −0.0612427 | + | 0.0767959i | ||||
\(497\) | −1510.42 | − | 1587.42i | −0.136321 | − | 0.143271i | ||||
\(498\) | 22358.2 | + | 28036.3i | 2.01184 | + | 2.52276i | ||||
\(499\) | −14428.0 | − | 13387.2i | −1.29436 | − | 1.20099i | −0.966617 | − | 0.256224i | \(-0.917521\pi\) |
−0.327743 | − | 0.944767i | \(-0.606288\pi\) | |||||||
\(500\) | 8132.32 | + | 1225.75i | 0.727377 | + | 0.109634i | ||||
\(501\) | −18852.2 | + | 17492.3i | −1.68115 | + | 1.55988i | ||||
\(502\) | 15034.8 | − | 10250.5i | 1.33672 | − | 0.911361i | ||||
\(503\) | −2001.49 | − | 8769.08i | −0.177419 | − | 0.777324i | −0.982816 | − | 0.184588i | \(-0.940905\pi\) |
0.805397 | − | 0.592736i | \(-0.201952\pi\) | |||||||
\(504\) | 11113.5 | − | 2683.74i | 0.982216 | − | 0.237189i | ||||
\(505\) | −3560.05 | + | 15597.6i | −0.313703 | + | 1.37442i | ||||
\(506\) | −4068.89 | − | 10367.4i | −0.357479 | − | 0.910841i | ||||
\(507\) | 512.869 | + | 6843.76i | 0.0449256 | + | 0.599491i | ||||
\(508\) | 5553.04 | + | 9618.15i | 0.484993 | + | 0.840032i | ||||
\(509\) | 1975.73 | − | 3422.06i | 0.172048 | − | 0.297996i | −0.767088 | − | 0.641542i | \(-0.778295\pi\) |
0.939136 | + | 0.343546i | \(0.111628\pi\) | |||||||
\(510\) | −61375.3 | − | 29556.8i | −5.32891 | − | 2.56627i | ||||
\(511\) | 7909.11 | + | 11293.4i | 0.684693 | + | 0.977675i | ||||
\(512\) | −11805.2 | + | 5685.10i | −1.01899 | + | 0.490719i | ||||
\(513\) | −201.570 | + | 2689.77i | −0.0173480 | + | 0.231493i | ||||
\(514\) | 2396.56 | − | 739.242i | 0.205657 | − | 0.0634369i | ||||
\(515\) | −2778.36 | + | 857.011i | −0.237727 | + | 0.0733290i | ||||
\(516\) | −293.966 | + | 3922.70i | −0.0250797 | + | 0.334666i | ||||
\(517\) | 2289.86 | − | 1102.74i | 0.194793 | − | 0.0938073i | ||||
\(518\) | 4922.69 | + | 7029.11i | 0.417549 | + | 0.596219i | ||||
\(519\) | 1023.47 | + | 492.876i | 0.0865611 | + | 0.0416856i | ||||
\(520\) | −15659.7 | + | 27123.4i | −1.32062 | + | 2.28738i | ||||
\(521\) | −1210.62 | − | 2096.85i | −0.101801 | − | 0.176324i | 0.810626 | − | 0.585564i | \(-0.199127\pi\) |
−0.912427 | + | 0.409240i | \(0.865794\pi\) | |||||||
\(522\) | −181.689 | − | 2424.47i | −0.0152343 | − | 0.203287i | ||||
\(523\) | 7719.85 | + | 19669.9i | 0.645441 | + | 1.64456i | 0.759051 | + | 0.651031i | \(0.225663\pi\) |
−0.113610 | + | 0.993525i | \(0.536241\pi\) | |||||||
\(524\) | −3245.77 | + | 14220.6i | −0.270595 | + | 1.18556i | ||||
\(525\) | −19232.6 | + | 4644.34i | −1.59881 | + | 0.386087i | ||||
\(526\) | 5563.95 | + | 24377.3i | 0.461216 | + | 2.02072i | ||||
\(527\) | −2938.76 | + | 2003.61i | −0.242912 | + | 0.165614i | ||||
\(528\) | −3345.42 | + | 3104.09i | −0.275740 | + | 0.255849i | ||||
\(529\) | −5156.38 | − | 777.199i | −0.423800 | − | 0.0638776i | ||||
\(530\) | −44640.3 | − | 41420.1i | −3.65859 | − | 3.39467i | ||||
\(531\) | −2155.40 | − | 2702.78i | −0.176151 | − | 0.220886i | ||||
\(532\) | 9213.62 | + | 9683.35i | 0.750867 | + | 0.789147i | ||||
\(533\) | 12269.9 | − | 15385.9i | 0.997125 | − | 1.25035i | ||||
\(534\) | 437.745 | − | 65.9795i | 0.0354740 | − | 0.00534684i | ||||
\(535\) | 2798.06 | + | 1907.69i | 0.226114 | + | 0.154162i | ||||
\(536\) | 4171.07 | − | 10627.7i | 0.336124 | − | 0.856431i | ||||
\(537\) | 20466.2 | + | 6312.97i | 1.64466 | + | 0.507309i | ||||
\(538\) | −25165.6 | −2.01666 | ||||||||
\(539\) | 1199.55 | − | 5938.81i | 0.0958599 | − | 0.474587i | ||||
\(540\) | 13901.4 | 1.10782 | ||||||||
\(541\) | 20502.5 | + | 6324.19i | 1.62934 | + | 0.502584i | 0.968724 | − | 0.248142i | \(-0.0798199\pi\) |
0.660614 | + | 0.750726i | \(0.270296\pi\) | |||||||
\(542\) | 8597.12 | − | 21905.1i | 0.681325 | − | 1.73599i | ||||
\(543\) | 8896.63 | + | 6065.62i | 0.703114 | + | 0.479375i | ||||
\(544\) | −9936.07 | + | 1497.62i | −0.783098 | + | 0.118033i | ||||
\(545\) | 2704.96 | − | 3391.92i | 0.212602 | − | 0.266594i | ||||
\(546\) | 4640.02 | − | 33643.7i | 0.363690 | − | 2.63703i | ||||
\(547\) | 8422.85 | + | 10561.9i | 0.658382 | + | 0.825586i | 0.993166 | − | 0.116710i | \(-0.0372347\pi\) |
−0.334784 | + | 0.942295i | \(0.608663\pi\) | |||||||
\(548\) | −30286.8 | − | 28102.0i | −2.36093 | − | 2.19062i | ||||
\(549\) | −9390.20 | − | 1415.34i | −0.729989 | − | 0.110028i | ||||
\(550\) | 9776.81 | − | 9071.56i | 0.757972 | − | 0.703295i | ||||
\(551\) | 1085.11 | − | 739.816i | 0.0838971 | − | 0.0572001i | ||||
\(552\) | 6523.15 | + | 28579.8i | 0.502978 | + | 2.20369i | ||||
\(553\) | 1987.75 | + | 427.524i | 0.152853 | + | 0.0328756i | ||||
\(554\) | −887.649 | + | 3889.04i | −0.0680732 | + | 0.298248i | ||||
\(555\) | −4028.44 | − | 10264.3i | −0.308104 | − | 0.785037i | ||||
\(556\) | −104.378 | − | 1392.83i | −0.00796157 | − | 0.106240i | ||||
\(557\) | 2096.85 | + | 3631.86i | 0.159509 | + | 0.276278i | 0.934692 | − | 0.355459i | \(-0.115676\pi\) |
−0.775183 | + | 0.631737i | \(0.782342\pi\) | |||||||
\(558\) | −1276.56 | + | 2211.06i | −0.0968477 | + | 0.167745i | ||||
\(559\) | 1995.89 | + | 961.169i | 0.151014 | + | 0.0727247i | ||||
\(560\) | 7979.58 | − | 8819.35i | 0.602141 | − | 0.665510i | ||||
\(561\) | −13478.3 | + | 6490.83i | −1.01436 | + | 0.488490i | ||||
\(562\) | 1679.25 | − | 22408.1i | 0.126041 | − | 1.68190i | ||||
\(563\) | −12914.6 | + | 3983.62i | −0.966758 | + | 0.298205i | −0.737641 | − | 0.675194i | \(-0.764060\pi\) |
−0.229117 | + | 0.973399i | \(0.573584\pi\) | |||||||
\(564\) | −13835.2 | + | 4267.61i | −1.03292 | + | 0.318615i | ||||
\(565\) | −1296.69 | + | 17303.1i | −0.0965522 | + | 1.28840i | ||||
\(566\) | 39752.1 | − | 19143.6i | 2.95213 | − | 1.42167i | ||||
\(567\) | −15152.0 | + | 6167.24i | −1.12227 | + | 0.456789i | ||||
\(568\) | −3502.80 | − | 1686.86i | −0.258758 | − | 0.124611i | ||||
\(569\) | 11043.5 | − | 19127.8i | 0.813648 | − | 1.40928i | −0.0966472 | − | 0.995319i | \(-0.530812\pi\) |
0.910295 | − | 0.413960i | \(-0.135855\pi\) | |||||||
\(570\) | −13207.0 | − | 22875.1i | −0.970489 | − | 1.68094i | ||||
\(571\) | −853.790 | − | 11393.0i | −0.0625744 | − | 0.834998i | −0.936887 | − | 0.349633i | \(-0.886306\pi\) |
0.874312 | − | 0.485364i | \(-0.161313\pi\) | |||||||
\(572\) | 5438.37 | + | 13856.7i | 0.397534 | + | 1.01290i | ||||
\(573\) | 692.613 | − | 3034.54i | 0.0504962 | − | 0.221238i | ||||
\(574\) | −23805.5 | + | 19477.8i | −1.73105 | + | 1.41636i | ||||
\(575\) | −4631.76 | − | 20293.1i | −0.335927 | − | 1.47179i | ||||
\(576\) | −10700.8 | + | 7295.66i | −0.774072 | + | 0.527754i | ||||
\(577\) | 2672.08 | − | 2479.33i | 0.192791 | − | 0.178884i | −0.577871 | − | 0.816128i | \(-0.696116\pi\) |
0.770662 | + | 0.637244i | \(0.219926\pi\) | |||||||
\(578\) | 50847.7 | + | 7664.06i | 3.65915 | + | 0.551528i | ||||
\(579\) | −13180.0 | − | 12229.2i | −0.946012 | − | 0.877771i | ||||
\(580\) | −4220.13 | − | 5291.87i | −0.302123 | − | 0.378850i | ||||
\(581\) | −20444.9 | + | 1790.36i | −1.45989 | + | 0.127843i | ||||
\(582\) | −5458.88 | + | 6845.21i | −0.388793 | + | 0.487531i | ||||
\(583\) | −13223.8 | + | 1993.17i | −0.939408 | + | 0.141593i | ||||
\(584\) | 20212.4 | + | 13780.6i | 1.43218 | + | 0.976447i | ||||
\(585\) | −6541.48 | + | 16667.4i | −0.462320 | + | 1.17797i | ||||
\(586\) | 22185.2 | + | 6843.24i | 1.56393 | + | 0.482409i | ||||
\(587\) | −3005.17 | −0.211306 | −0.105653 | − | 0.994403i | \(-0.533693\pi\) | ||||
−0.105653 | + | 0.994403i | \(0.533693\pi\) | |||||||
\(588\) | −11799.5 | + | 32435.3i | −0.827558 | + | 2.27484i | ||||
\(589\) | −1379.14 | −0.0964793 | ||||||||
\(590\) | −14143.9 | − | 4362.81i | −0.986939 | − | 0.304430i | ||||
\(591\) | −1308.57 | + | 3334.19i | −0.0910788 | + | 0.232065i | ||||
\(592\) | 3056.57 | + | 2083.94i | 0.212203 | + | 0.144678i | ||||
\(593\) | 16712.7 | − | 2519.03i | 1.15735 | − | 0.174442i | 0.457817 | − | 0.889046i | \(-0.348631\pi\) |
0.699529 | + | 0.714604i | \(0.253393\pi\) | |||||||
\(594\) | 2927.34 | − | 3670.77i | 0.202206 | − | 0.253558i | ||||
\(595\) | 33516.5 | − | 19915.6i | 2.30931 | − | 1.37220i | ||||
\(596\) | −27482.4 | − | 34461.9i | −1.88880 | − | 2.36848i | ||||
\(597\) | 3100.58 | + | 2876.92i | 0.212560 | + | 0.197227i | ||||
\(598\) | 35330.4 | + | 5325.19i | 2.41600 | + | 0.364153i | ||||
\(599\) | 4748.25 | − | 4405.74i | 0.323887 | − | 0.300523i | −0.501424 | − | 0.865202i | \(-0.667190\pi\) |
0.825311 | + | 0.564678i | \(0.191000\pi\) | |||||||
\(600\) | −29005.3 | + | 19775.5i | −1.97356 | + | 1.34555i | ||||
\(601\) | −120.455 | − | 527.746i | −0.00817545 | − | 0.0358190i | 0.970676 | − | 0.240393i | \(-0.0772763\pi\) |
−0.978851 | + | 0.204574i | \(0.934419\pi\) | |||||||
\(602\) | −2733.91 | − | 2124.65i | −0.185093 | − | 0.143844i | ||||
\(603\) | 1452.39 | − | 6363.36i | 0.0980864 | − | 0.429744i | ||||
\(604\) | 2866.51 | + | 7303.74i | 0.193107 | + | 0.492028i | ||||
\(605\) | 1280.75 | + | 17090.4i | 0.0860660 | + | 1.14847i | ||||
\(606\) | −15390.9 | − | 26657.9i | −1.03171 | − | 1.78697i | ||||
\(607\) | 653.893 | − | 1132.58i | 0.0437244 | − | 0.0757328i | −0.843335 | − | 0.537388i | \(-0.819411\pi\) |
0.887059 | + | 0.461655i | \(0.152744\pi\) | |||||||
\(608\) | −3510.36 | − | 1690.50i | −0.234151 | − | 0.112761i | ||||
\(609\) | 2957.98 | + | 1658.66i | 0.196820 | + | 0.110365i | ||||
\(610\) | −36632.8 | + | 17641.4i | −2.43150 | + | 1.17095i | ||||
\(611\) | −609.317 | + | 8130.77i | −0.0403442 | + | 0.538356i | ||||
\(612\) | 33413.2 | − | 10306.6i | 2.20694 | − | 0.680752i | ||||
\(613\) | −19767.4 | + | 6097.44i | −1.30244 | + | 0.401751i | −0.866929 | − | 0.498431i | \(-0.833910\pi\) |
−0.435514 | + | 0.900182i | \(0.643433\pi\) | |||||||
\(614\) | −2359.21 | + | 31481.5i | −0.155065 | + | 2.06920i | ||||
\(615\) | 35608.5 | − | 17148.1i | 2.33475 | − | 1.12436i | ||||
\(616\) | −1735.46 | − | 10609.0i | −0.113512 | − | 0.693912i | ||||
\(617\) | −1956.48 | − | 942.190i | −0.127658 | − | 0.0614767i | 0.368965 | − | 0.929443i | \(-0.379712\pi\) |
−0.496622 | + | 0.867967i | \(0.665427\pi\) | |||||||
\(618\) | 2797.08 | − | 4844.68i | 0.182063 | − | 0.315342i | ||||
\(619\) | −5922.52 | − | 10258.1i | −0.384566 | − | 0.666087i | 0.607143 | − | 0.794592i | \(-0.292315\pi\) |
−0.991709 | + | 0.128505i | \(0.958982\pi\) | |||||||
\(620\) | 531.166 | + | 7087.91i | 0.0344067 | + | 0.459125i | ||||
\(621\) | −2677.04 | − | 6820.99i | −0.172989 | − | 0.440768i | ||||
\(622\) | 6578.62 | − | 28822.8i | 0.424081 | − | 1.85802i | ||||
\(623\) | −107.055 | + | 229.629i | −0.00688456 | + | 0.0147671i | ||||
\(624\) | −3257.88 | − | 14273.7i | −0.209006 | − | 0.915713i | ||||
\(625\) | −8620.73 | + | 5877.51i | −0.551727 | + | 0.376161i | ||||
\(626\) | −24127.6 | + | 22387.1i | −1.54047 | + | 1.42934i | ||||
\(627\) | −5735.84 | − | 864.539i | −0.365339 | − | 0.0550660i | ||||
\(628\) | 8117.01 | + | 7531.49i | 0.515771 | + | 0.478565i | ||||
\(629\) | 7560.83 | + | 9480.99i | 0.479285 | + | 0.601004i | ||||
\(630\) | 15473.4 | − | 23318.6i | 0.978531 | − | 1.47466i | ||||
\(631\) | 12544.5 | − | 15730.3i | 0.791425 | − | 0.992415i | −0.208472 | − | 0.978028i | \(-0.566849\pi\) |
0.999897 | − | 0.0143870i | \(-0.00457970\pi\) | |||||||
\(632\) | 3567.23 | − | 537.673i | 0.224520 | − | 0.0338410i | ||||
\(633\) | −28132.2 | − | 19180.2i | −1.76643 | − | 1.20433i | ||||
\(634\) | 6074.25 | − | 15476.9i | 0.380504 | − | 0.969508i | ||||
\(635\) | 12002.8 | + | 3702.37i | 0.750104 | + | 0.231376i | ||||
\(636\) | 76183.1 | 4.74977 | ||||||||
\(637\) | 14575.6 | + | 12858.9i | 0.906606 | + | 0.799823i | ||||
\(638\) | −2286.03 | −0.141857 | ||||||||
\(639\) | −2123.90 | − | 655.137i | −0.131487 | − | 0.0405584i | ||||
\(640\) | −16312.4 | + | 41563.2i | −1.00750 | + | 2.56708i | ||||
\(641\) | −14538.8 | − | 9912.41i | −0.895865 | − | 0.610790i | 0.0254208 | − | 0.999677i | \(-0.491907\pi\) |
−0.921286 | + | 0.388886i | \(0.872860\pi\) | |||||||
\(642\) | −6442.93 | + | 971.116i | −0.396078 | + | 0.0596992i | ||||
\(643\) | −12549.1 | + | 15736.1i | −0.769658 | + | 0.965120i | −0.999968 | − | 0.00799685i | \(-0.997454\pi\) |
0.230310 | + | 0.973117i | \(0.426026\pi\) | |||||||
\(644\) | −33964.7 | − | 12840.7i | −2.07825 | − | 0.785706i | ||||
\(645\) | 2773.88 | + | 3478.34i | 0.169336 | + | 0.212340i | ||||
\(646\) | 21294.6 | + | 19758.5i | 1.29694 | + | 1.20339i | ||||
\(647\) | −16481.4 | − | 2484.17i | −1.00147 | − | 0.150947i | −0.372214 | − | 0.928147i | \(-0.621401\pi\) |
−0.629253 | + | 0.777200i | \(0.716639\pi\) | |||||||
\(648\) | −21277.5 | + | 19742.6i | −1.28990 | + | 1.19686i | ||||
\(649\) | −2685.67 | + | 1831.06i | −0.162437 | + | 0.110748i | ||||
\(650\) | 9520.98 | + | 41714.1i | 0.574529 | + | 2.51717i | ||||
\(651\) | −1585.30 | − | 3188.93i | −0.0954424 | − | 0.191988i | ||||
\(652\) | −878.987 | + | 3851.10i | −0.0527972 | + | 0.231320i | ||||
\(653\) | 4728.67 | + | 12048.5i | 0.283380 | + | 0.722041i | 0.999705 | + | 0.0242742i | \(0.00772749\pi\) |
−0.716325 | + | 0.697767i | \(0.754177\pi\) | |||||||
\(654\) | 623.788 | + | 8323.88i | 0.0372967 | + | 0.497690i | ||||
\(655\) | 8248.48 | + | 14286.8i | 0.492053 | + | 0.852261i | ||||
\(656\) | −6629.85 | + | 11483.2i | −0.394592 | + | 0.683453i | ||||
\(657\) | 12600.5 | + | 6068.08i | 0.748238 | + | 0.360332i | ||||
\(658\) | 3603.23 | − | 12223.9i | 0.213478 | − | 0.724220i | ||||
\(659\) | −834.082 | + | 401.673i | −0.0493038 | + | 0.0237435i | −0.458373 | − | 0.888760i | \(-0.651568\pi\) |
0.409069 | + | 0.912503i | \(0.365853\pi\) | |||||||
\(660\) | −2234.08 | + | 29811.7i | −0.131760 | + | 1.75821i | ||||
\(661\) | −11706.1 | + | 3610.87i | −0.688829 | + | 0.212476i | −0.619359 | − | 0.785108i | \(-0.712607\pi\) |
−0.0694708 | + | 0.997584i | \(0.522131\pi\) | |||||||
\(662\) | 30535.6 | − | 9418.98i | 1.79275 | − | 0.552990i | ||||
\(663\) | 3586.50 | − | 47858.5i | 0.210087 | − | 2.80342i | ||||
\(664\) | −32808.0 | + | 15799.5i | −1.91747 | + | 0.923403i | ||||
\(665\) | 15087.8 | + | 940.465i | 0.879820 | + | 0.0548416i | ||||
\(666\) | 7842.64 | + | 3776.82i | 0.456301 | + | 0.219743i | ||||
\(667\) | −1783.88 | + | 3089.76i | −0.103556 | + | 0.179364i | ||||
\(668\) | −28260.2 | − | 48948.1i | −1.63686 | − | 2.83512i | ||||
\(669\) | 799.598 | + | 10669.9i | 0.0462096 | + | 0.616625i | ||||
\(670\) | −10209.8 | − | 26014.3i | −0.588718 | − | 1.50003i | ||||
\(671\) | −1986.89 | + | 8705.12i | −0.114311 | + | 0.500831i | ||||
\(672\) | −126.237 | − | 10060.1i | −0.00724658 | − | 0.577495i | ||||
\(673\) | 4821.32 | + | 21123.6i | 0.276149 | + | 1.20989i | 0.902618 | + | 0.430442i | \(0.141642\pi\) |
−0.626469 | + | 0.779446i | \(0.715501\pi\) | |||||||
\(674\) | −13440.6 | + | 9163.63i | −0.768118 | + | 0.523694i | ||||
\(675\) | 6432.44 | − | 5968.44i | 0.366792 | − | 0.340334i | ||||
\(676\) | −14914.5 | − | 2248.01i | −0.848575 | − | 0.127902i | ||||
\(677\) | 24286.3 | + | 22534.4i | 1.37873 | + | 1.27927i | 0.920665 | + | 0.390353i | \(0.127647\pi\) |
0.458063 | + | 0.888920i | \(0.348543\pi\) | |||||||
\(678\) | −20815.1 | − | 26101.3i | −1.17905 | − | 1.47849i | ||||
\(679\) | −1536.93 | − | 4769.30i | −0.0868660 | − | 0.269557i | ||||
\(680\) | 43129.7 | − | 54082.9i | 2.43228 | − | 3.04998i | ||||
\(681\) | −4907.04 | + | 739.618i | −0.276121 | + | 0.0416185i | ||||
\(682\) | 1983.47 | + | 1352.31i | 0.111365 | + | 0.0759275i | ||||
\(683\) | −3578.81 | + | 9118.67i | −0.200497 | + | 0.510858i | −0.995392 | − | 0.0958889i | \(-0.969431\pi\) |
0.794895 | + | 0.606747i | \(0.207526\pi\) | |||||||
\(684\) | 12955.9 | + | 3996.36i | 0.724241 | + | 0.223399i | ||||
\(685\) | −46727.9 | −2.60639 | ||||||||
\(686\) | −18046.1 | − | 24439.2i | −1.00438 | − | 1.36019i | ||||
\(687\) | −24519.1 | −1.36166 | ||||||||
\(688\) | −1426.31 | − | 439.957i | −0.0790370 | − | 0.0243797i | ||||
\(689\) | 15674.1 | − | 39936.9i | 0.866668 | − | 2.20823i | ||||
\(690\) | 59287.6 | + | 40421.6i | 3.27107 | + | 2.23018i | ||||
\(691\) | 18710.0 | − | 2820.08i | 1.03005 | − | 0.155255i | 0.387794 | − | 0.921746i | \(-0.373237\pi\) |
0.642255 | + | 0.766491i | \(0.277999\pi\) | |||||||
\(692\) | −1556.58 | + | 1951.89i | −0.0855090 | + | 0.107225i | ||||
\(693\) | −1885.03 | − | 5849.52i | −0.103328 | − | 0.320642i | ||||
\(694\) | −16285.5 | − | 20421.4i | −0.890765 | − | 1.11698i | ||||
\(695\) | −1158.00 | − | 1074.46i | −0.0632019 | − | 0.0586428i | ||||
\(696\) | 5949.94 | + | 896.809i | 0.324040 | + | 0.0488412i | ||||
\(697\) | −31862.5 | + | 29564.1i | −1.73153 | + | 1.60663i | ||||
\(698\) | −3405.49 | + | 2321.82i | −0.184670 | + | 0.125906i | ||||
\(699\) | −7532.14 | − | 33000.5i | −0.407570 | − | 1.78568i | ||||
\(700\) | −545.598 | − | 43479.8i | −0.0294595 | − | 2.34769i | ||||
\(701\) | 2322.04 | − | 10173.5i | 0.125110 | − | 0.548144i | −0.873056 | − | 0.487619i | \(-0.837865\pi\) |
0.998167 | − | 0.0605249i | \(-0.0192774\pi\) | |||||||
\(702\) | 5502.89 | + | 14021.1i | 0.295859 | + | 0.753837i | ||||
\(703\) | 351.386 | + | 4688.92i | 0.0188517 | + | 0.251559i | ||||
\(704\) | 6088.76 | + | 10546.0i | 0.325964 | + | 0.564587i | ||||
\(705\) | −8187.48 | + | 14181.1i | −0.437387 | + | 0.757577i | ||||
\(706\) | 39610.3 | + | 19075.3i | 2.11155 | + | 1.01687i | ||||
\(707\) | 17582.8 | + | 1095.99i | 0.935318 | + | 0.0583009i | ||||
\(708\) | 16683.2 | − | 8034.23i | 0.885586 | − | 0.426476i | ||||
\(709\) | 1953.73 | − | 26070.8i | 0.103489 | − | 1.38097i | −0.667731 | − | 0.744402i | \(-0.732735\pi\) |
0.771221 | − | 0.636568i | \(-0.219646\pi\) | |||||||
\(710\) | −9093.72 | + | 2805.04i | −0.480678 | + | 0.148269i | ||||
\(711\) | 1970.78 | − | 607.905i | 0.103952 | − | 0.0320650i | ||||
\(712\) | −33.5937 | + | 448.277i | −0.00176823 | + | 0.0235953i | ||||
\(713\) | 3375.54 | − | 1625.57i | 0.177300 | − | 0.0853831i | ||||
\(714\) | −21209.0 | + | 71951.0i | −1.11166 | + | 3.77128i | ||||
\(715\) | 15168.3 | + | 7304.67i | 0.793374 | + | 0.382069i | ||||
\(716\) | −23535.3 | + | 40764.4i | −1.22843 | + | 2.12770i | ||||
\(717\) | 13534.4 | + | 23442.2i | 0.704951 | + | 1.22101i | ||||
\(718\) | −1003.07 | − | 13385.0i | −0.0521369 | − | 0.695718i | ||||
\(719\) | 8831.79 | + | 22503.0i | 0.458095 | + | 1.16721i | 0.954260 | + | 0.298979i | \(0.0966459\pi\) |
−0.496165 | + | 0.868228i | \(0.665259\pi\) | |||||||
\(720\) | 2684.55 | − | 11761.8i | 0.138955 | − | 0.608800i | ||||
\(721\) | 1425.22 | + | 2866.90i | 0.0736169 | + | 0.148085i | ||||
\(722\) | −4792.79 | − | 20998.6i | −0.247049 | − | 1.08239i | ||||
\(723\) | −9322.22 | + | 6355.78i | −0.479526 | + | 0.326935i | ||||
\(724\) | −17347.3 | + | 16096.0i | −0.890481 | + | 0.826245i | ||||
\(725\) | −4224.75 | − | 636.779i | −0.216418 | − | 0.0326198i | ||||
\(726\) | −24172.0 | − | 22428.4i | −1.23569 | − | 1.14655i | ||||
\(727\) | 15214.4 | + | 19078.2i | 0.776161 | + | 0.973275i | 0.999999 | − | 0.00135096i | \(-0.000430023\pi\) |
−0.223838 | + | 0.974626i | \(0.571859\pi\) | |||||||
\(728\) | 32258.8 | + | 12195.8i | 1.64229 | + | 0.620887i | ||||
\(729\) | −4015.18 | + | 5034.87i | −0.203992 | + | 0.255798i | ||||
\(730\) | 59211.6 | − | 8924.71i | 3.00208 | − | 0.452491i | ||||
\(731\) | −4042.65 | − | 2756.23i | −0.204545 | − | 0.139457i | ||||
\(732\) | 18583.4 | − | 47349.6i | 0.938335 | − | 2.39084i | ||||
\(733\) | 6361.18 | + | 1962.16i | 0.320539 | + | 0.0988733i | 0.450850 | − | 0.892600i | \(-0.351121\pi\) |
−0.130310 | + | 0.991473i | \(0.541597\pi\) | |||||||
\(734\) | 4248.39 | 0.213639 | ||||||||
\(735\) | 15168.7 | + | 35968.1i | 0.761233 | + | 1.80504i | ||||
\(736\) | 10584.4 | 0.530091 | ||||||||
\(737\) | −5864.45 | − | 1808.94i | −0.293107 | − | 0.0904115i | ||||
\(738\) | −11398.7 | + | 29043.4i | −0.568553 | + | 1.44865i | ||||
\(739\) | −4648.79 | − | 3169.49i | −0.231405 | − | 0.157770i | 0.442067 | − | 0.896982i | \(-0.354245\pi\) |
−0.673472 | + | 0.739213i | \(0.735198\pi\) | |||||||
\(740\) | 23962.8 | − | 3611.82i | 1.19039 | − | 0.179423i | ||||
\(741\) | 11602.5 | − | 14549.1i | 0.575209 | − | 0.721289i | ||||
\(742\) | −37075.8 | + | 55873.9i | −1.83436 | + | 2.76441i | ||||
\(743\) | −13574.6 | − | 17022.1i | −0.670263 | − | 0.840483i | 0.324154 | − | 0.946004i | \(-0.394920\pi\) |
−0.994417 | + | 0.105521i | \(0.966349\pi\) | |||||||
\(744\) | −4631.95 | − | 4297.82i | −0.228247 | − | 0.211782i | ||||
\(745\) | −49295.2 | − | 7430.06i | −2.42421 | − | 0.365391i | ||||
\(746\) | −29090.7 | + | 26992.3i | −1.42773 | + | 1.32474i | ||||
\(747\) | −17200.5 | + | 11727.1i | −0.842480 | + | 0.574393i | ||||
\(748\) | −7316.02 | − | 32053.6i | −0.357621 | − | 1.56684i | ||||
\(749\) | 1575.69 | − | 3379.79i | 0.0768683 | − | 0.164879i | ||||
\(750\) | −3982.26 | + | 17447.4i | −0.193882 | + | 0.849454i | ||||
\(751\) | 13922.8 | + | 35474.6i | 0.676497 | + | 1.72369i | 0.690034 | + | 0.723777i | \(0.257596\pi\) |
−0.0135371 | + | 0.999908i | \(0.504309\pi\) | |||||||
\(752\) | −410.550 | − | 5478.41i | −0.0199085 | − | 0.265661i | ||||
\(753\) | 12873.1 | + | 22296.9i | 0.623005 | + | 1.07908i | ||||
\(754\) | 3666.91 | − | 6351.27i | 0.177110 | − | 0.306764i | ||||
\(755\) | 7995.05 | + | 3850.21i | 0.385390 | + | 0.185594i | ||||
\(756\) | −2471.20 | − | 15106.7i | −0.118885 | − | 0.726752i | ||||
\(757\) | 16774.1 | − | 8077.97i | 0.805369 | − | 0.387845i | 0.0145490 | − | 0.999894i | \(-0.495369\pi\) |
0.790820 | + | 0.612049i | \(0.209654\pi\) | |||||||
\(758\) | 542.369 | − | 7237.41i | 0.0259891 | − | 0.346800i | ||||
\(759\) | 15057.9 | − | 4644.75i | 0.720115 | − | 0.222126i | ||||
\(760\) | 25630.6 | − | 7906.00i | 1.22332 | − | 0.377343i | ||||
\(761\) | 2281.69 | − | 30447.1i | 0.108688 | − | 1.45034i | −0.630161 | − | 0.776465i | \(-0.717011\pi\) |
0.738848 | − | 0.673872i | \(-0.235370\pi\) | |||||||
\(762\) | −21774.0 | + | 10485.8i | −1.03515 | + | 0.498504i | ||||
\(763\) | −4166.86 | − | 2336.52i | −0.197707 | − | 0.110862i | ||||
\(764\) | 6163.21 | + | 2968.05i | 0.291855 | + | 0.140550i | ||||
\(765\) | 19773.4 | − | 34248.6i | 0.934522 | − | 1.61864i | ||||
\(766\) | 33018.3 | + | 57189.3i | 1.55744 | + | 2.69756i | ||||
\(767\) | −779.275 | − | 10398.7i | −0.0366858 | − | 0.489538i | ||||
\(768\) | −17751.2 | − | 45229.3i | −0.834038 | − | 2.12510i | ||||
\(769\) | 6347.45 | − | 27810.0i | 0.297653 | − | 1.30410i | −0.575959 | − | 0.817478i | \(-0.695371\pi\) |
0.873612 | − | 0.486623i | \(-0.161772\pi\) | |||||||
\(770\) | −20777.1 | − | 16146.9i | −0.972409 | − | 0.755706i | ||||
\(771\) | 789.622 | + | 3459.56i | 0.0368840 | + | 0.161599i | ||||
\(772\) | 32648.5 | − | 22259.3i | 1.52208 | − | 1.03774i | ||||
\(773\) | −11279.1 | + | 10465.5i | −0.524813 | + | 0.486955i | −0.897508 | − | 0.440999i | \(-0.854624\pi\) |
0.372695 | + | 0.927954i | \(0.378434\pi\) | |||||||
\(774\) | −3472.92 | − | 523.458i | −0.161281 | − | 0.0243092i | ||||
\(775\) | 3288.91 | + | 3051.67i | 0.152440 | + | 0.141444i | ||||
\(776\) | −5543.27 | − | 6951.04i | −0.256433 | − | 0.321556i | ||||
\(777\) | −10438.1 | + | 6202.37i | −0.481938 | + | 0.286369i | ||||
\(778\) | 7742.35 | − | 9708.59i | 0.356782 | − | 0.447391i | ||||
\(779\) | −16665.4 | + | 2511.90i | −0.766495 | + | 0.115531i | ||||
\(780\) | −79242.2 | − | 54026.4i | −3.63760 | − | 2.48007i | ||||
\(781\) | −763.517 | + | 1945.41i | −0.0349818 | + | 0.0891322i | ||||
\(782\) | −75409.1 | − | 23260.6i | −3.44837 | − | 1.06368i | ||||
\(783\) | −1504.04 | −0.0686464 | ||||||||
\(784\) | −11002.5 | − | 7103.65i | −0.501208 | − | 0.323599i | ||||
\(785\) | 12523.3 | 0.569396 | ||||||||
\(786\) | −30330.3 | − | 9355.66i | −1.37640 | − | 0.424562i | ||||
\(787\) | 2059.60 | − | 5247.78i | 0.0932871 | − | 0.237692i | −0.876612 | − | 0.481197i | \(-0.840202\pi\) |
0.969900 | + | 0.243505i | \(0.0782974\pi\) | |||||||
\(788\) | −6504.04 | − | 4434.38i | −0.294031 | − | 0.200467i | ||||
\(789\) | −34983.1 | + | 5272.85i | −1.57849 | + | 0.237919i | ||||
\(790\) | 5505.67 | − | 6903.89i | 0.247953 | − | 0.310923i | ||||
\(791\) | 19033.8 | − | 1666.80i | 0.855580 | − | 0.0749234i | ||||
\(792\) | −6798.78 | − | 8525.40i | −0.305030 | − | 0.382496i | ||||
\(793\) | −20998.4 | − | 19483.6i | −0.940320 | − | 0.872489i | ||||
\(794\) | 14071.1 | + | 2120.88i | 0.628925 | + | 0.0947952i | ||||
\(795\) | 63161.2 | − | 58605.0i | 2.81773 | − | 2.61447i | ||||
\(796\) | −7680.54 | + | 5236.50i | −0.341997 | + | 0.233170i | ||||
\(797\) | −6084.93 | − | 26659.8i | −0.270438 | − | 1.18487i | −0.909497 | − | 0.415709i | \(-0.863533\pi\) |
0.639059 | − | 0.769157i | \(-0.279324\pi\) | |||||||
\(798\) | −22510.7 | + | 18418.5i | −0.998584 | + | 0.817051i | ||||
\(799\) | 4007.31 | − | 17557.2i | 0.177432 | − | 0.777381i | ||||
\(800\) | 4630.74 | + | 11798.9i | 0.204652 | + | 0.521444i | ||||
\(801\) | 19.2054 | + | 256.278i | 0.000847177 | + | 0.0113048i | ||||
\(802\) | −29947.2 | − | 51870.1i | −1.31855 | − | 2.28379i | ||||
\(803\) | 6575.02 | − | 11388.3i | 0.288951 | − | 0.500478i | ||||
\(804\) | 31499.0 | + | 15169.1i | 1.38170 | + | 0.665390i | ||||
\(805\) | −38037.0 | + | 15482.0i | −1.66538 | + | 0.677849i | ||||
\(806\) | −6938.70 | + | 3341.50i | −0.303233 | + | 0.146029i | ||||
\(807\) | 2660.88 | − | 35507.0i | 0.116069 | − | 1.54883i | ||||
\(808\) | 29869.0 | − | 9213.38i | 1.30048 | − | 0.401146i | ||||
\(809\) | 41434.2 | − | 12780.8i | 1.80068 | − | 0.555436i | 0.801580 | − | 0.597887i | \(-0.203993\pi\) |
0.999099 | + | 0.0424510i | \(0.0135166\pi\) | |||||||
\(810\) | −5309.49 | + | 70850.2i | −0.230317 | + | 3.07336i | ||||
\(811\) | −28970.8 | + | 13951.6i | −1.25438 | + | 0.604078i | −0.938683 | − | 0.344781i | \(-0.887953\pi\) |
−0.315698 | + | 0.948860i | \(0.602239\pi\) | |||||||
\(812\) | −5000.49 | + | 5526.74i | −0.216112 | + | 0.238855i | ||||
\(813\) | 29997.7 | + | 14446.1i | 1.29405 | + | 0.623183i | ||||
\(814\) | 4092.34 | − | 7088.15i | 0.176212 | − | 0.305208i | ||||
\(815\) | 2233.77 | + | 3869.01i | 0.0960069 | + | 0.166289i | ||||
\(816\) | 2416.54 | + | 32246.4i | 0.103671 | + | 1.38340i | ||||
\(817\) | −693.118 | − | 1766.04i | −0.0296807 | − | 0.0756252i | ||||
\(818\) | −9724.46 | + | 42605.6i | −0.415657 | + | 1.82111i | ||||
\(819\) | 19275.4 | + | 4145.74i | 0.822389 | + | 0.176879i | ||||
\(820\) | 19328.2 | + | 84682.4i | 0.823135 | + | 3.60639i | ||||
\(821\) | 2299.79 | − | 1567.97i | 0.0977627 | − | 0.0666535i | −0.513452 | − | 0.858118i | \(-0.671634\pi\) |
0.611215 | + | 0.791465i | \(0.290681\pi\) | |||||||
\(822\) | 65905.3 | − | 61151.1i | 2.79648 | − | 2.59476i | ||||
\(823\) | −23670.7 | − | 3567.78i | −1.00256 | − | 0.151112i | −0.372810 | − | 0.927908i | \(-0.621606\pi\) |
−0.629752 | + | 0.776796i | \(0.716844\pi\) | |||||||
\(824\) | 4164.20 | + | 3863.81i | 0.176052 | + | 0.163352i | ||||
\(825\) | 11765.6 | + | 14753.6i | 0.496517 | + | 0.622613i | ||||
\(826\) | −2226.77 | + | 16145.7i | −0.0938004 | + | 0.680124i | ||||
\(827\) | −22913.9 | + | 28733.1i | −0.963474 | + | 1.20816i | 0.0145980 | + | 0.999893i | \(0.495353\pi\) |
−0.978072 | + | 0.208265i | \(0.933218\pi\) | |||||||
\(828\) | −36420.9 | + | 5489.57i | −1.52864 | + | 0.230406i | ||||
\(829\) | 28112.9 | + | 19167.1i | 1.17781 | + | 0.803015i | 0.984025 | − | 0.178030i | \(-0.0569724\pi\) |
0.193781 | + | 0.981045i | \(0.437925\pi\) | |||||||
\(830\) | −32564.2 | + | 82972.2i | −1.36183 | + | 3.46989i | ||||
\(831\) | −5393.33 | − | 1663.62i | −0.225142 | − | 0.0694470i | ||||
\(832\) | −39066.8 | −1.62788 | ||||||||
\(833\) | −27600.5 | − | 32882.1i | −1.14802 | − | 1.36770i | ||||
\(834\) | 3039.36 | 0.126192 | ||||||||
\(835\) | −61083.9 | − | 18841.9i | −2.53161 | − | 0.780898i | ||||
\(836\) | 4657.48 | − | 11867.1i | 0.192682 | − | 0.490946i | ||||
\(837\) | 1304.98 | + | 889.722i | 0.0538910 | + | 0.0367423i | ||||
\(838\) | 45219.1 | − | 6815.69i | 1.86404 | − | 0.280959i | ||||
\(839\) | 27592.2 | − | 34599.5i | 1.13538 | − | 1.42373i | 0.244411 | − | 0.969672i | \(-0.421405\pi\) |
0.890973 | − | 0.454056i | \(-0.150023\pi\) | |||||||
\(840\) | 47743.0 | + | 50177.0i | 1.96106 | + | 2.06104i | ||||
\(841\) | −14749.7 | − | 18495.5i | −0.604769 | − | 0.758356i | ||||
\(842\) | 28799.9 | + | 26722.4i | 1.17875 | + | 1.09372i | ||||
\(843\) | 31438.8 | + | 4738.64i | 1.28447 | + | 0.193603i | ||||
\(844\) | 54854.2 | − | 50897.2i | 2.23715 | − | 2.07578i | ||||
\(845\) | −14094.5 | + | 9609.49i | −0.573807 | + | 0.391215i | ||||
\(846\) | −2876.50 | − | 12602.8i | −0.116899 | − | 0.512166i | ||||
\(847\) | 18344.5 | − | 4429.90i | 0.744187 | − | 0.179709i | ||||
\(848\) | −6432.46 | + | 28182.4i | −0.260485 | + | 1.14126i | ||||
\(849\) | 22807.2 | + | 58111.8i | 0.921957 | + | 2.34911i | ||||
\(850\) | −7062.21 | − | 94238.6i | −0.284978 | − | 3.80277i | ||||
\(851\) | −6386.82 | − | 11062.3i | −0.257271 | − | 0.445606i | ||||
\(852\) | 5952.70 | − | 10310.4i | 0.239362 | − | 0.414586i | ||||
\(853\) | −5397.95 | − | 2599.51i | −0.216673 | − | 0.104344i | 0.322399 | − | 0.946604i | \(-0.395511\pi\) |
−0.539072 | + | 0.842260i | \(0.681225\pi\) | |||||||
\(854\) | 25683.0 | + | 36672.9i | 1.02911 | + | 1.46946i | ||||
\(855\) | 13815.6 | − | 6653.25i | 0.552613 | − | 0.266124i | ||||
\(856\) | 494.447 | − | 6597.94i | 0.0197428 | − | 0.263450i | ||||
\(857\) | 29960.0 | − | 9241.43i | 1.19418 | − | 0.368356i | 0.366962 | − | 0.930236i | \(-0.380398\pi\) |
0.827219 | + | 0.561880i | \(0.189922\pi\) | |||||||
\(858\) | −30952.8 | + | 9547.69i | −1.23160 | + | 0.379898i | ||||
\(859\) | −2461.87 | + | 32851.4i | −0.0977859 | + | 1.30486i | 0.705262 | + | 0.708947i | \(0.250829\pi\) |
−0.803048 | + | 0.595915i | \(0.796790\pi\) | |||||||
\(860\) | −8809.40 | + | 4242.38i | −0.349300 | + | 0.168214i | ||||
\(861\) | −24964.9 | − | 35647.4i | −0.988156 | − | 1.41099i | ||||
\(862\) | −23025.9 | − | 11088.7i | −0.909822 | − | 0.438147i | ||||
\(863\) | 5805.06 | − | 10054.7i | 0.228976 | − | 0.396598i | −0.728529 | − | 0.685015i | \(-0.759796\pi\) |
0.957505 | + | 0.288417i | \(0.0931289\pi\) | |||||||
\(864\) | 2231.02 | + | 3864.24i | 0.0878481 | + | 0.152157i | ||||
\(865\) | 211.006 | + | 2815.67i | 0.00829411 | + | 0.110677i | ||||
\(866\) | 5103.01 | + | 13002.3i | 0.200240 | + | 0.510202i | ||||
\(867\) | −16189.9 | + | 70932.5i | −0.634184 | + | 2.77854i | ||||
\(868\) | 7608.03 | − | 1837.21i | 0.297504 | − | 0.0718423i | ||||
\(869\) | −431.513 | − | 1890.58i | −0.0168448 | − | 0.0738017i | ||||
\(870\) | 12169.4 | − | 8296.94i | 0.474230 | − | 0.323325i | ||||
\(871\) | 14432.7 | − | 13391.5i | 0.561460 | − | 0.520959i | ||||
\(872\) | −8381.59 | − | 1263.32i | −0.325500 | − | 0.0490613i | ||||
\(873\) | −3725.94 | − | 3457.17i | −0.144449 | − | 0.134029i | ||||
\(874\) | −19078.2 | − | 23923.3i | −0.738365 | − | 0.925880i | ||||
\(875\) | −7060.15 | − | 7420.09i | −0.272773 | − | 0.286680i | ||||
\(876\) | −46706.8 | + | 58568.5i | −1.80146 | + | 2.25896i | ||||
\(877\) | 4717.24 | − | 711.010i | 0.181630 | − | 0.0273764i | −0.0575971 | − | 0.998340i | \(-0.518344\pi\) |
0.239228 | + | 0.970964i | \(0.423106\pi\) | |||||||
\(878\) | 30525.8 | + | 20812.1i | 1.17334 | + | 0.799972i | ||||
\(879\) | −12001.1 | + | 30578.4i | −0.460510 | + | 1.17336i | ||||
\(880\) | −10839.6 | − | 3343.58i | −0.415231 | − | 0.128082i | ||||
\(881\) | −37538.9 | −1.43555 | −0.717773 | − | 0.696277i | \(-0.754838\pi\) | ||||
−0.717773 | + | 0.696277i | \(0.754838\pi\) | |||||||
\(882\) | −28091.1 | − | 12669.7i | −1.07242 | − | 0.483686i | ||||
\(883\) | −26101.4 | −0.994769 | −0.497384 | − | 0.867530i | \(-0.665706\pi\) | ||||
−0.497384 | + | 0.867530i | \(0.665706\pi\) | |||||||
\(884\) | 100790. | + | 31089.5i | 3.83476 | + | 1.18287i | ||||
\(885\) | 7651.14 | − | 19494.8i | 0.290611 | − | 0.740464i | ||||
\(886\) | 22177.7 | + | 15120.5i | 0.840942 | + | 0.573345i | ||||
\(887\) | −32808.9 | + | 4945.14i | −1.24196 | + | 0.187195i | −0.736966 | − | 0.675930i | \(-0.763742\pi\) |
−0.504990 | + | 0.863125i | \(0.668504\pi\) | |||||||
\(888\) | −13432.0 | + | 16843.2i | −0.507599 | + | 0.636509i | ||||
\(889\) | 1889.68 | − | 13701.6i | 0.0712911 | − | 0.516915i | ||||
\(890\) | 686.062 | + | 860.295i | 0.0258392 | + | 0.0324013i | ||||
\(891\) | 11437.6 | + | 10612.5i | 0.430049 | + | 0.399027i | ||||
\(892\) | −23252.8 | − | 3504.80i | −0.872828 | − | 0.131558i | ||||
\(893\) | 5118.76 | − | 4749.52i | 0.191817 | − | 0.177980i | ||||
\(894\) | 79249.7 | − | 54031.5i | 2.96477 | − | 2.02135i | ||||
\(895\) | 11846.2 | + | 51901.5i | 0.442429 | + | 1.93841i | ||||
\(896\) | 48066.7 | + | 10338.1i | 1.79218 | + | 0.385461i | ||||
\(897\) | −11249.2 | + | 49285.8i | −0.418727 | + | 1.83456i | ||||
\(898\) | −16160.0 | − | 41175.0i | −0.600520 | − | 1.53010i | ||||
\(899\) | −57.4689 | − | 766.869i | −0.00213203 | − | 0.0284499i | ||||
\(900\) | −22053.8 | − | 38198.3i | −0.816808 | − | 1.41475i | ||||
\(901\) | −47379.1 | + | 82063.1i | −1.75186 | + | 3.03431i | ||||
\(902\) | 26431.2 | + | 12728.6i | 0.975678 | + | 0.469862i | ||||
\(903\) | 3286.82 | − | 3632.72i | 0.121128 | − | 0.133875i | ||||
\(904\) | 30543.7 | − | 14709.1i | 1.12375 | − | 0.541168i | ||||
\(905\) | −2000.09 | + | 26689.4i | −0.0734645 | + | 0.980316i | ||||
\(906\) | −16314.9 | + | 5032.48i | −0.598263 | + | 0.184540i | ||||
\(907\) | −10437.1 | + | 3219.43i | −0.382094 | + | 0.117860i | −0.479851 | − | 0.877350i | \(-0.659309\pi\) |
0.0977572 | + | 0.995210i | \(0.468833\pi\) | |||||||
\(908\) | 815.025 | − | 10875.7i | 0.0297880 | − | 0.397494i | ||||
\(909\) | 16100.2 | − | 7753.47i | 0.587471 | − | 0.282911i | ||||
\(910\) | 78188.4 | − | 31824.5i | 2.84826 | − | 1.15931i | ||||
\(911\) | −13214.6 | − | 6363.81i | −0.480592 | − | 0.231441i | 0.177872 | − | 0.984054i | \(-0.443079\pi\) |
−0.658463 | + | 0.752613i | \(0.728793\pi\) | |||||||
\(912\) | −6269.26 | + | 10858.7i | −0.227627 | + | 0.394262i | ||||
\(913\) | 9787.11 | + | 16951.8i | 0.354771 | + | 0.614482i | ||||
\(914\) | −1804.35 | − | 24077.4i | −0.0652982 | − | 0.871344i | ||||
\(915\) | −21017.5 | − | 53551.8i | −0.759364 | − | 1.93483i | ||||
\(916\) | 11990.9 | − | 52535.7i | 0.432524 | − | 1.89501i | ||||
\(917\) | 14059.2 | − | 11503.4i | 0.506298 | − | 0.414258i | ||||
\(918\) | −7402.82 | − | 32433.9i | −0.266154 | − | 1.16610i | ||||
\(919\) | 34909.4 | − | 23800.8i | 1.25305 | − | 0.854317i | 0.259287 | − | 0.965800i | \(-0.416513\pi\) |
0.993766 | + | 0.111483i | \(0.0355602\pi\) | |||||||
\(920\) | −53414.1 | + | 49561.0i | −1.91414 | + | 1.77606i | ||||
\(921\) | −44168.9 | − | 6657.39i | −1.58025 | − | 0.238185i | ||||
\(922\) | −5.63910 | − | 5.23232i | −0.000201425 | − | 0.000186895i | ||||
\(923\) | −4180.21 | − | 5241.81i | −0.149072 | − | 0.186930i | ||||
\(924\) | 32793.6 | − | 2871.74i | 1.16756 | − | 0.102244i | ||||
\(925\) | 9537.38 | − | 11959.5i | 0.339013 | − | 0.425109i | ||||
\(926\) | −58306.1 | + | 8788.22i | −2.06917 | + | 0.311878i | ||||
\(927\) | 2683.29 | + | 1829.44i | 0.0950710 | + | 0.0648183i | ||||
\(928\) | 793.724 | − | 2022.38i | 0.0280768 | − | 0.0715385i | ||||
\(929\) | −23649.8 | − | 7294.99i | −0.835225 | − | 0.257633i | −0.152495 | − | 0.988304i | \(-0.548731\pi\) |
−0.682729 | + | 0.730672i | \(0.739207\pi\) | |||||||
\(930\) | −15466.8 | −0.545352 | ||||||||
\(931\) | −1660.10 | − | 16563.2i | −0.0584401 | − | 0.583067i | ||||
\(932\) | 74391.8 | 2.61458 | ||||||||
\(933\) | 39971.6 | + | 12329.6i | 1.40258 | + | 0.432640i | ||||
\(934\) | −14752.4 | + | 37588.6i | −0.516825 | + | 1.31685i | ||||
\(935\) | −30723.2 | − | 20946.7i | −1.07461 | − | 0.732654i | ||||
\(936\) | 34591.7 | − | 5213.86i | 1.20798 | − | 0.182073i | ||||
\(937\) | 8344.99 | − | 10464.3i | 0.290949 | − | 0.364838i | −0.614778 | − | 0.788700i | \(-0.710754\pi\) |
0.905727 | + | 0.423862i | \(0.139326\pi\) | |||||||
\(938\) | −26454.8 | + | 15719.5i | −0.920874 | + | 0.547187i | ||||
\(939\) | −29035.6 | − | 36409.5i | −1.00910 | − | 1.26537i | ||||
\(940\) | −26381.1 | − | 24478.0i | −0.915378 | − | 0.849347i | ||||
\(941\) | 14614.0 | + | 2202.70i | 0.506272 | + | 0.0763083i | 0.397212 | − | 0.917727i | \(-0.369978\pi\) |
0.109060 | + | 0.994035i | \(0.465216\pi\) | |||||||
\(942\) | −17662.9 | + | 16388.8i | −0.610923 | + | 0.566854i | ||||
\(943\) | 37829.0 | − | 25791.4i | 1.30634 | − | 0.890650i | ||||
\(944\) | 1563.47 | + | 6850.00i | 0.0539053 | + | 0.236174i | ||||
\(945\) | −13669.8 | − | 10623.5i | −0.470561 | − | 0.365696i | ||||
\(946\) | −734.840 | + | 3219.55i | −0.0252555 | + | 0.110652i | ||||
\(947\) | 9879.69 | + | 25173.1i | 0.339015 | + | 0.863795i | 0.994123 | + | 0.108260i | \(0.0345279\pi\) |
−0.655108 | + | 0.755535i | \(0.727377\pi\) | |||||||
\(948\) | 825.548 | + | 11016.2i | 0.0282833 | + | 0.377414i | ||||
\(949\) | 21093.3 | + | 36534.8i | 0.721516 | + | 1.24970i | ||||
\(950\) | 18321.6 | − | 31734.0i | 0.625717 | − | 1.08377i | ||||
\(951\) | 21194.7 | + | 10206.8i | 0.722697 | + | 0.348033i | ||||
\(952\) | −66439.0 | − | 37255.0i | −2.26187 | − | 1.26832i | ||||
\(953\) | 13953.3 | − | 6719.58i | 0.474285 | − | 0.228403i | −0.181442 | − | 0.983402i | \(-0.558077\pi\) |
0.655727 | + | 0.754998i | \(0.272362\pi\) | |||||||
\(954\) | −5083.06 | + | 67828.7i | −0.172505 | + | 2.30192i | ||||
\(955\) | 7392.96 | − | 2280.43i | 0.250503 | − | 0.0772700i | ||||
\(956\) | −56847.2 | + | 17535.0i | −1.92319 | + | 0.593225i | ||||
\(957\) | 241.713 | − | 3225.44i | 0.00816456 | − | 0.108948i | ||||
\(958\) | 20241.3 | − | 9747.72i | 0.682639 | − | 0.328742i | ||||
\(959\) | 8306.65 | + | 50779.3i | 0.279704 | + | 1.70985i | ||||
\(960\) | −70688.6 | − | 34041.9i | −2.37653 | − | 1.14448i | ||||
\(961\) | 14491.7 | − | 25100.4i | 0.486446 | − | 0.842550i | ||||
\(962\) | 13128.7 | + | 22739.5i | 0.440005 | + | 0.762111i | ||||
\(963\) | −282.673 | − | 3772.01i | −0.00945900 | − | 0.126222i | ||||
\(964\) | −9059.19 | − | 23082.4i | −0.302673 | − | 0.771199i | ||||
\(965\) | 9944.55 | − | 43569.9i | 0.331737 | − | 1.45344i | ||||
\(966\) | 33386.9 | − | 71613.6i | 1.11202 | − | 2.38523i | ||||
\(967\) | −3056.81 | − | 13392.7i | −0.101655 | − | 0.445379i | −0.999982 | − | 0.00605135i | \(-0.998074\pi\) |
0.898327 | − | 0.439328i | \(-0.144783\pi\) | |||||||
\(968\) | 27666.0 | − | 18862.4i | 0.918616 | − | 0.626302i | ||||
\(969\) | −30129.5 | + | 27956.1i | −0.998864 | + | 0.926811i | ||||
\(970\) | −21519.4 | − | 3243.53i | −0.712316 | − | 0.107364i | ||||
\(971\) | 8536.54 | + | 7920.75i | 0.282133 | + | 0.261781i | 0.808526 | − | 0.588460i | \(-0.200266\pi\) |
−0.526394 | + | 0.850241i | \(0.676456\pi\) | |||||||
\(972\) | −41504.3 | − | 52044.8i | −1.36960 | − | 1.71742i | ||||
\(973\) | −961.769 | + | 1449.40i | −0.0316885 | + | 0.0477551i | ||||
\(974\) | −32602.0 | + | 40881.7i | −1.07252 | + | 1.34490i | ||||
\(975\) | −59862.7 | + | 9022.85i | −1.96630 | + | 0.296372i | ||||
\(976\) | 15947.0 | + | 10872.5i | 0.523003 | + | 0.356578i | ||||
\(977\) | 10823.8 | − | 27578.6i | 0.354436 | − | 0.903089i | −0.636805 | − | 0.771025i | \(-0.719744\pi\) |
0.991241 | − | 0.132064i | \(-0.0421604\pi\) | |||||||
\(978\) | −8213.76 | − | 2533.61i | −0.268555 | − | 0.0828384i | ||||
\(979\) | 241.644 | 0.00788865 | ||||||||
\(980\) | −84485.1 | + | 14911.1i | −2.75385 | + | 0.486039i | ||||
\(981\) | −4845.84 | −0.157712 | ||||||||
\(982\) | −65459.6 | − | 20191.6i | −2.12719 | − | 0.656151i | ||||
\(983\) | −16893.7 | + | 43044.3i | −0.548142 | + | 1.39664i | 0.341455 | + | 0.939898i | \(0.389080\pi\) |
−0.889597 | + | 0.456746i | \(0.849015\pi\) | |||||||
\(984\) | −63800.1 | − | 43498.1i | −2.06694 | − | 1.40922i | ||||
\(985\) | −8803.53 | + | 1326.92i | −0.284775 | + | 0.0429230i | ||||
\(986\) | −10099.4 | + | 12664.2i | −0.326196 | + | 0.409036i | ||||
\(987\) | 16866.1 | + | 6376.42i | 0.543926 | + | 0.205637i | ||||
\(988\) | 25499.4 | + | 31975.3i | 0.821098 | + | 1.02962i | ||||
\(989\) | 3778.07 | + | 3505.53i | 0.121472 | + | 0.112709i | ||||
\(990\) | −26393.4 | − | 3978.17i | −0.847311 | − | 0.127712i | ||||
\(991\) | 34318.9 | − | 31843.3i | 1.10008 | − | 1.02072i | 0.100408 | − | 0.994946i | \(-0.467985\pi\) |
0.999668 | − | 0.0257752i | \(-0.00820540\pi\) | |||||||
\(992\) | −1885.02 | + | 1285.18i | −0.0603320 | + | 0.0411337i | ||||
\(993\) | 10060.9 | + | 44079.7i | 0.321524 | + | 1.40869i | ||||
\(994\) | 4664.80 | + | 9383.53i | 0.148852 | + | 0.299424i | ||||
\(995\) | −2339.45 | + | 10249.8i | −0.0745383 | + | 0.326574i | ||||
\(996\) | −40738.6 | − | 103800.i | −1.29604 | − | 3.30225i | ||||
\(997\) | −380.869 | − | 5082.35i | −0.0120985 | − | 0.161444i | −0.999981 | − | 0.00623707i | \(-0.998015\pi\) |
0.987882 | − | 0.155207i | \(-0.0496044\pi\) | |||||||
\(998\) | 47063.6 | + | 81516.6i | 1.49276 | + | 2.58553i | ||||
\(999\) | 2692.47 | − | 4663.50i | 0.0852713 | − | 0.147694i |
(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 | 49.4.g.a.2.2 | ✓ | 156 | |
49.5 | odd | 42 | 2401.4.a.f.1.7 | 78 | |||
49.25 | even | 21 | inner | 49.4.g.a.25.2 | yes | 156 | |
49.44 | even | 21 | 2401.4.a.g.1.7 | 78 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.4.g.a.2.2 | ✓ | 156 | 1.1 | even | 1 | trivial | |
49.4.g.a.25.2 | yes | 156 | 49.25 | even | 21 | inner | |
2401.4.a.f.1.7 | 78 | 49.5 | odd | 42 | |||
2401.4.a.g.1.7 | 78 | 49.44 | even | 21 |