Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [32,6,Mod(5,32)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(32, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("32.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 32 = 2^{5} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 32.g (of order \(8\), 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: | \(5.13228223402\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 5.5 | ||
Character | \(\chi\) | \(=\) | 32.5 |
Dual form | 32.6.g.a.13.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.77244 | + | 4.21529i | −0.666880 | + | 0.745165i | ||||
\(3\) | 1.59693 | + | 3.85534i | 0.102443 | + | 0.247320i | 0.966788 | − | 0.255580i | \(-0.0822664\pi\) |
−0.864345 | + | 0.502900i | \(0.832266\pi\) | |||||||
\(4\) | −3.53735 | − | 31.8039i | −0.110542 | − | 0.993871i | ||||
\(5\) | −32.3386 | − | 13.3951i | −0.578490 | − | 0.239618i | 0.0742003 | − | 0.997243i | \(-0.476360\pi\) |
−0.652690 | + | 0.757625i | \(0.726360\pi\) | |||||||
\(6\) | −22.2757 | − | 7.81250i | −0.252612 | − | 0.0885956i | ||||
\(7\) | −71.7275 | − | 71.7275i | −0.553274 | − | 0.553274i | 0.374110 | − | 0.927384i | \(-0.377948\pi\) |
−0.927384 | + | 0.374110i | \(0.877948\pi\) | |||||||
\(8\) | 147.407 | + | 105.067i | 0.814317 | + | 0.580421i | ||||
\(9\) | 159.514 | − | 159.514i | 0.656434 | − | 0.656434i | ||||
\(10\) | 178.459 | − | 85.7843i | 0.564338 | − | 0.271274i | ||||
\(11\) | 182.095 | − | 439.617i | 0.453751 | − | 1.09545i | −0.517134 | − | 0.855904i | \(-0.673001\pi\) |
0.970885 | − | 0.239547i | \(-0.0769988\pi\) | |||||||
\(12\) | 116.966 | − | 64.4264i | 0.234480 | − | 0.129155i | ||||
\(13\) | −45.9833 | + | 19.0469i | −0.0754643 | + | 0.0312583i | −0.420096 | − | 0.907480i | \(-0.638004\pi\) |
0.344632 | + | 0.938738i | \(0.388004\pi\) | |||||||
\(14\) | 572.940 | − | 31.7644i | 0.781248 | − | 0.0433132i | ||||
\(15\) | − | 146.067i | − | 0.167619i | ||||||
\(16\) | −998.974 | + | 225.003i | −0.975561 | + | 0.219730i | ||||
\(17\) | − | 1447.51i | − | 1.21479i | −0.794401 | − | 0.607394i | \(-0.792215\pi\) | ||
0.794401 | − | 0.607394i | \(-0.207785\pi\) | |||||||
\(18\) | 70.6402 | + | 1274.15i | 0.0513891 | + | 0.926915i | ||||
\(19\) | −1447.36 | + | 599.515i | −0.919797 | + | 0.380992i | −0.791799 | − | 0.610782i | \(-0.790855\pi\) |
−0.127998 | + | 0.991774i | \(0.540855\pi\) | |||||||
\(20\) | −311.622 | + | 1075.87i | −0.174202 | + | 0.601432i | ||||
\(21\) | 161.990 | − | 391.078i | 0.0801566 | − | 0.193515i | ||||
\(22\) | 1166.17 | + | 2426.02i | 0.513695 | + | 1.06865i | ||||
\(23\) | −1563.42 | + | 1563.42i | −0.616249 | + | 0.616249i | −0.944567 | − | 0.328318i | \(-0.893518\pi\) |
0.328318 | + | 0.944567i | \(0.393518\pi\) | |||||||
\(24\) | −169.671 | + | 736.090i | −0.0601284 | + | 0.260857i | ||||
\(25\) | −1343.35 | − | 1343.35i | −0.429873 | − | 0.429873i | ||||
\(26\) | 93.1810 | − | 265.686i | 0.0270330 | − | 0.0770789i | ||||
\(27\) | 1806.56 | + | 748.301i | 0.476917 | + | 0.197545i | ||||
\(28\) | −2027.49 | + | 2534.94i | −0.488723 | + | 0.611044i | ||||
\(29\) | −1419.70 | − | 3427.45i | −0.313473 | − | 0.756792i | −0.999571 | − | 0.0292825i | \(-0.990678\pi\) |
0.686098 | − | 0.727509i | \(-0.259322\pi\) | |||||||
\(30\) | 615.715 | + | 551.030i | 0.124904 | + | 0.111782i | ||||
\(31\) | −1489.88 | −0.278450 | −0.139225 | − | 0.990261i | \(-0.544461\pi\) | ||||
−0.139225 | + | 0.990261i | \(0.544461\pi\) | |||||||
\(32\) | 2820.12 | − | 5059.78i | 0.486847 | − | 0.873487i | ||||
\(33\) | 1985.67 | 0.317411 | ||||||||
\(34\) | 6101.70 | + | 5460.67i | 0.905218 | + | 0.810118i | ||||
\(35\) | 1358.77 | + | 3280.36i | 0.187489 | + | 0.452638i | ||||
\(36\) | −5637.40 | − | 4508.89i | −0.724975 | − | 0.579847i | ||||
\(37\) | 5166.14 | + | 2139.88i | 0.620385 | + | 0.256972i | 0.670662 | − | 0.741763i | \(-0.266010\pi\) |
−0.0502764 | + | 0.998735i | \(0.516010\pi\) | |||||||
\(38\) | 2932.94 | − | 8362.67i | 0.329492 | − | 0.939477i | ||||
\(39\) | −146.864 | − | 146.864i | −0.0154616 | − | 0.0154616i | ||||
\(40\) | −3359.55 | − | 5372.25i | −0.331994 | − | 0.530893i | ||||
\(41\) | 11538.9 | − | 11538.9i | 1.07203 | − | 1.07203i | 0.0748290 | − | 0.997196i | \(-0.476159\pi\) |
0.997196 | − | 0.0748290i | \(-0.0238411\pi\) | |||||||
\(42\) | 1037.41 | + | 2158.15i | 0.0907459 | + | 0.188781i | ||||
\(43\) | −4888.76 | + | 11802.5i | −0.403206 | + | 0.973426i | 0.583676 | + | 0.811987i | \(0.301614\pi\) |
−0.986883 | + | 0.161440i | \(0.948386\pi\) | |||||||
\(44\) | −14625.7 | − | 4236.26i | −1.13890 | − | 0.329876i | ||||
\(45\) | −7295.13 | + | 3021.74i | −0.537034 | + | 0.222447i | ||||
\(46\) | −692.358 | − | 12488.2i | −0.0482432 | − | 0.870172i | ||||
\(47\) | 12645.2i | 0.834988i | 0.908680 | + | 0.417494i | \(0.137092\pi\) | ||||
−0.908680 | + | 0.417494i | \(0.862908\pi\) | |||||||
\(48\) | −2462.76 | − | 3492.07i | −0.154283 | − | 0.218766i | ||||
\(49\) | − | 6517.33i | − | 0.387775i | ||||||
\(50\) | 10730.4 | − | 594.902i | 0.607001 | − | 0.0336527i | ||||
\(51\) | 5580.66 | − | 2311.58i | 0.300442 | − | 0.124447i | ||||
\(52\) | 768.424 | + | 1395.07i | 0.0394087 | + | 0.0715464i | ||||
\(53\) | 1970.47 | − | 4757.15i | 0.0963565 | − | 0.232625i | −0.868350 | − | 0.495951i | \(-0.834819\pi\) |
0.964707 | + | 0.263326i | \(0.0848195\pi\) | |||||||
\(54\) | −9969.44 | + | 4792.25i | −0.465250 | + | 0.223643i | ||||
\(55\) | −11777.4 | + | 11777.4i | −0.524980 | + | 0.524980i | ||||
\(56\) | −3036.92 | − | 18109.4i | −0.129409 | − | 0.771673i | ||||
\(57\) | −4622.67 | − | 4622.67i | −0.188454 | − | 0.188454i | ||||
\(58\) | 19803.4 | + | 6945.43i | 0.772984 | + | 0.271100i | ||||
\(59\) | 31638.1 | + | 13104.9i | 1.18326 | + | 0.490122i | 0.885555 | − | 0.464535i | \(-0.153779\pi\) |
0.297705 | + | 0.954658i | \(0.403779\pi\) | |||||||
\(60\) | −4645.50 | + | 516.691i | −0.166592 | + | 0.0185290i | ||||
\(61\) | 17051.2 | + | 41165.3i | 0.586720 | + | 1.41647i | 0.886621 | + | 0.462498i | \(0.153047\pi\) |
−0.299900 | + | 0.953971i | \(0.596953\pi\) | |||||||
\(62\) | 5620.49 | − | 6280.28i | 0.185693 | − | 0.207491i | ||||
\(63\) | −22883.0 | −0.726377 | ||||||||
\(64\) | 10689.7 | + | 30975.3i | 0.326224 | + | 0.945293i | ||||
\(65\) | 1742.17 | 0.0511454 | ||||||||
\(66\) | −7490.82 | + | 8370.16i | −0.211675 | + | 0.236523i | ||||
\(67\) | 5027.10 | + | 12136.5i | 0.136814 | + | 0.330298i | 0.977406 | − | 0.211371i | \(-0.0677927\pi\) |
−0.840592 | + | 0.541669i | \(0.817793\pi\) | |||||||
\(68\) | −46036.6 | + | 5120.37i | −1.20734 | + | 0.134285i | ||||
\(69\) | −8524.19 | − | 3530.84i | −0.215541 | − | 0.0892802i | ||||
\(70\) | −18953.5 | − | 6647.36i | −0.462323 | − | 0.162145i | ||||
\(71\) | −55422.5 | − | 55422.5i | −1.30479 | − | 1.30479i | −0.925124 | − | 0.379666i | \(-0.876039\pi\) |
−0.379666 | − | 0.925124i | \(-0.623961\pi\) | |||||||
\(72\) | 40273.1 | − | 6753.76i | 0.915553 | − | 0.153537i | ||||
\(73\) | 7698.14 | − | 7698.14i | 0.169075 | − | 0.169075i | −0.617498 | − | 0.786573i | \(-0.711854\pi\) |
0.786573 | + | 0.617498i | \(0.211854\pi\) | |||||||
\(74\) | −28509.2 | + | 13704.2i | −0.605209 | + | 0.290920i | ||||
\(75\) | 3033.84 | − | 7324.33i | 0.0622786 | − | 0.150354i | ||||
\(76\) | 24186.7 | + | 43910.9i | 0.480334 | + | 0.872044i | ||||
\(77\) | −44593.9 | + | 18471.4i | −0.857134 | + | 0.355036i | ||||
\(78\) | 1173.11 | − | 65.0386i | 0.0218325 | − | 0.00121042i | ||||
\(79\) | − | 42879.8i | − | 0.773009i | −0.922287 | − | 0.386505i | \(-0.873682\pi\) | ||
0.922287 | − | 0.386505i | \(-0.126318\pi\) | |||||||
\(80\) | 35319.3 | + | 6105.05i | 0.617003 | + | 0.106651i | ||||
\(81\) | − | 46657.6i | − | 0.790150i | ||||||
\(82\) | 5109.98 | + | 92169.7i | 0.0839237 | + | 1.51375i | ||||
\(83\) | 89333.4 | − | 37003.1i | 1.42337 | − | 0.589580i | 0.467667 | − | 0.883905i | \(-0.345095\pi\) |
0.955706 | + | 0.294324i | \(0.0950946\pi\) | |||||||
\(84\) | −13010.8 | − | 3768.52i | −0.201190 | − | 0.0582737i | ||||
\(85\) | −19389.6 | + | 46810.5i | −0.291086 | + | 0.702743i | ||||
\(86\) | −31308.4 | − | 65131.8i | −0.456473 | − | 0.949614i | ||||
\(87\) | 10946.8 | − | 10946.8i | 0.155057 | − | 0.155057i | ||||
\(88\) | 73031.6 | − | 45670.4i | 1.00532 | − | 0.628678i | ||||
\(89\) | −65284.9 | − | 65284.9i | −0.873650 | − | 0.873650i | 0.119218 | − | 0.992868i | \(-0.461961\pi\) |
−0.992868 | + | 0.119218i | \(0.961961\pi\) | |||||||
\(90\) | 14782.9 | − | 42150.4i | 0.192378 | − | 0.548524i | ||||
\(91\) | 4664.45 | + | 1932.08i | 0.0590469 | + | 0.0244580i | ||||
\(92\) | 55253.2 | + | 44192.5i | 0.680594 | + | 0.544351i | ||||
\(93\) | −2379.24 | − | 5743.99i | −0.0285253 | − | 0.0688663i | ||||
\(94\) | −53303.1 | − | 47703.2i | −0.622204 | − | 0.556837i | ||||
\(95\) | 54836.0 | 0.623386 | ||||||||
\(96\) | 24010.7 | + | 2792.39i | 0.265905 | + | 0.0309241i | ||||
\(97\) | 103957. | 1.12183 | 0.560914 | − | 0.827874i | \(-0.310450\pi\) | ||||
0.560914 | + | 0.827874i | \(0.310450\pi\) | |||||||
\(98\) | 27472.4 | + | 24586.3i | 0.288956 | + | 0.258599i | ||||
\(99\) | −41078.2 | − | 99171.6i | −0.421234 | − | 1.01695i | ||||
\(100\) | −37972.0 | + | 47475.8i | −0.379720 | + | 0.474758i | ||||
\(101\) | 74446.0 | + | 30836.5i | 0.726169 | + | 0.300789i | 0.714977 | − | 0.699148i | \(-0.246437\pi\) |
0.0111925 | + | 0.999937i | \(0.496437\pi\) | |||||||
\(102\) | −11308.7 | + | 32244.4i | −0.107625 | + | 0.306870i | ||||
\(103\) | −70235.3 | − | 70235.3i | −0.652323 | − | 0.652323i | 0.301229 | − | 0.953552i | \(-0.402603\pi\) |
−0.953552 | + | 0.301229i | \(0.902603\pi\) | |||||||
\(104\) | −8779.46 | − | 2023.69i | −0.0795948 | − | 0.0183468i | ||||
\(105\) | −10477.0 | + | 10477.0i | −0.0927395 | + | 0.0927395i | ||||
\(106\) | 12619.3 | + | 26252.2i | 0.109086 | + | 0.226935i | ||||
\(107\) | −19899.0 | + | 48040.4i | −0.168024 | + | 0.405646i | −0.985353 | − | 0.170525i | \(-0.945454\pi\) |
0.817329 | + | 0.576171i | \(0.195454\pi\) | |||||||
\(108\) | 17408.4 | − | 60102.6i | 0.143615 | − | 0.495831i | ||||
\(109\) | −182515. | + | 75600.2i | −1.47141 | + | 0.609476i | −0.967179 | − | 0.254095i | \(-0.918222\pi\) |
−0.504226 | + | 0.863572i | \(0.668222\pi\) | |||||||
\(110\) | −5215.60 | − | 94074.8i | −0.0410982 | − | 0.741296i | ||||
\(111\) | 23334.5i | 0.179759i | ||||||||
\(112\) | 87792.8 | + | 55515.0i | 0.661324 | + | 0.418182i | ||||
\(113\) | 234416.i | 1.72699i | 0.504353 | + | 0.863497i | \(0.331731\pi\) | ||||
−0.504353 | + | 0.863497i | \(0.668269\pi\) | |||||||
\(114\) | 36924.6 | − | 2047.14i | 0.266106 | − | 0.0147532i | ||||
\(115\) | 71500.9 | − | 29616.6i | 0.504158 | − | 0.208829i | ||||
\(116\) | −103984. | + | 57276.0i | −0.717502 | + | 0.395210i | ||||
\(117\) | −4296.71 | + | 10373.2i | −0.0290183 | + | 0.0700564i | ||||
\(118\) | −174594. | + | 83926.2i | −1.15431 | + | 0.554871i | ||||
\(119\) | −103827. | + | 103827.i | −0.672111 | + | 0.672111i | ||||
\(120\) | 15346.9 | − | 21531.3i | 0.0972898 | − | 0.136495i | ||||
\(121\) | −46224.3 | − | 46224.3i | −0.287017 | − | 0.287017i | ||||
\(122\) | −237849. | − | 83417.9i | −1.44677 | − | 0.507411i | ||||
\(123\) | 62913.3 | + | 26059.5i | 0.374955 | + | 0.155312i | ||||
\(124\) | 5270.23 | + | 47384.0i | 0.0307805 | + | 0.276743i | ||||
\(125\) | 67307.4 | + | 162494.i | 0.385290 | + | 0.930173i | ||||
\(126\) | 86324.8 | − | 96458.5i | 0.484406 | − | 0.541270i | ||||
\(127\) | 186554. | 1.02635 | 0.513174 | − | 0.858285i | \(-0.328470\pi\) | ||||
0.513174 | + | 0.858285i | \(0.328470\pi\) | |||||||
\(128\) | −170896. | − | 71792.6i | −0.921951 | − | 0.387306i | ||||
\(129\) | −53309.7 | −0.282054 | ||||||||
\(130\) | −6572.22 | + | 7343.74i | −0.0341078 | + | 0.0381117i | ||||
\(131\) | 16567.1 | + | 39996.5i | 0.0843467 | + | 0.203631i | 0.960425 | − | 0.278537i | \(-0.0898495\pi\) |
−0.876079 | + | 0.482168i | \(0.839850\pi\) | |||||||
\(132\) | −7024.00 | − | 63151.9i | −0.0350873 | − | 0.315465i | ||||
\(133\) | 146817. | + | 60813.6i | 0.719694 | + | 0.298107i | ||||
\(134\) | −70123.3 | − | 24593.5i | −0.337365 | − | 0.118320i | ||||
\(135\) | −48397.9 | − | 48397.9i | −0.228556 | − | 0.228556i | ||||
\(136\) | 152087. | − | 213374.i | 0.705088 | − | 0.989223i | ||||
\(137\) | 212262. | − | 212262.i | 0.966211 | − | 0.966211i | −0.0332368 | − | 0.999448i | \(-0.510582\pi\) |
0.999448 | + | 0.0332368i | \(0.0105815\pi\) | |||||||
\(138\) | 47040.5 | − | 22612.1i | 0.210269 | − | 0.101075i | ||||
\(139\) | −116937. | + | 282311.i | −0.513352 | + | 1.23934i | 0.428570 | + | 0.903509i | \(0.359018\pi\) |
−0.941922 | + | 0.335832i | \(0.890982\pi\) | |||||||
\(140\) | 99521.7 | − | 54817.9i | 0.429139 | − | 0.236375i | ||||
\(141\) | −48751.5 | + | 20193.5i | −0.206509 | + | 0.0855390i | ||||
\(142\) | 442700. | − | 24543.8i | 1.84242 | − | 0.102146i | ||||
\(143\) | 23683.4i | 0.0968509i | ||||||||
\(144\) | −123459. | + | 195241.i | −0.496153 | + | 0.784630i | ||||
\(145\) | 129856.i | 0.512910i | ||||||||
\(146\) | 3409.11 | + | 61490.7i | 0.0132361 | + | 0.238741i | ||||
\(147\) | 25126.5 | − | 10407.7i | 0.0959045 | − | 0.0397249i | ||||
\(148\) | 49782.2 | − | 171873.i | 0.186818 | − | 0.644990i | ||||
\(149\) | 165049. | − | 398464.i | 0.609042 | − | 1.47036i | −0.255002 | − | 0.966941i | \(-0.582076\pi\) |
0.864044 | − | 0.503417i | \(-0.167924\pi\) | |||||||
\(150\) | 19429.2 | + | 40419.1i | 0.0705061 | + | 0.146676i | ||||
\(151\) | −75897.7 | + | 75897.7i | −0.270886 | + | 0.270886i | −0.829457 | − | 0.558571i | \(-0.811350\pi\) |
0.558571 | + | 0.829457i | \(0.311350\pi\) | |||||||
\(152\) | −276340. | − | 63697.3i | −0.970142 | − | 0.223621i | ||||
\(153\) | −230898. | − | 230898.i | −0.797429 | − | 0.797429i | ||||
\(154\) | 90365.6 | − | 257658.i | 0.307045 | − | 0.875473i | ||||
\(155\) | 48180.6 | + | 19957.1i | 0.161080 | + | 0.0667217i | ||||
\(156\) | −4151.35 | + | 5190.37i | −0.0136577 | + | 0.0170760i | ||||
\(157\) | −149486. | − | 360891.i | −0.484006 | − | 1.16849i | −0.957691 | − | 0.287799i | \(-0.907076\pi\) |
0.473685 | − | 0.880694i | \(-0.342924\pi\) | |||||||
\(158\) | 180751. | + | 161762.i | 0.576020 | + | 0.515505i | ||||
\(159\) | 21487.1 | 0.0674040 | ||||||||
\(160\) | −158975. | + | 125850.i | −0.490940 | + | 0.388646i | ||||
\(161\) | 224281. | 0.681910 | ||||||||
\(162\) | 196675. | + | 176013.i | 0.588792 | + | 0.526935i | ||||
\(163\) | −216319. | − | 522239.i | −0.637712 | − | 1.53957i | −0.829720 | − | 0.558180i | \(-0.811500\pi\) |
0.192007 | − | 0.981394i | \(-0.438500\pi\) | |||||||
\(164\) | −407799. | − | 326165.i | −1.18396 | − | 0.946951i | ||||
\(165\) | −64213.6 | − | 26598.1i | −0.183619 | − | 0.0760574i | ||||
\(166\) | −181026. | + | 516158.i | −0.509884 | + | 1.45383i | ||||
\(167\) | 182340. | + | 182340.i | 0.505931 | + | 0.505931i | 0.913275 | − | 0.407344i | \(-0.133545\pi\) |
−0.407344 | + | 0.913275i | \(0.633545\pi\) | |||||||
\(168\) | 64967.9 | − | 40627.8i | 0.177593 | − | 0.111058i | ||||
\(169\) | −260792. | + | 260792.i | −0.702389 | + | 0.702389i | ||||
\(170\) | −124174. | − | 258323.i | −0.329540 | − | 0.685552i | ||||
\(171\) | −135242. | + | 326504.i | −0.353690 | + | 0.853883i | ||||
\(172\) | 392659. | + | 113732.i | 1.01203 | + | 0.293131i | ||||
\(173\) | 148174. | − | 61375.7i | 0.376406 | − | 0.155913i | −0.186456 | − | 0.982463i | \(-0.559700\pi\) |
0.562862 | + | 0.826551i | \(0.309700\pi\) | |||||||
\(174\) | 4847.78 | + | 87440.3i | 0.0121386 | + | 0.218947i | ||||
\(175\) | 192711.i | 0.475676i | ||||||||
\(176\) | −82993.4 | + | 480138.i | −0.201958 | + | 1.16838i | ||||
\(177\) | 142903.i | 0.342854i | ||||||||
\(178\) | 521478. | − | 28911.3i | 1.23363 | − | 0.0683939i | ||||
\(179\) | −112402. | + | 46558.4i | −0.262205 | + | 0.108609i | −0.509914 | − | 0.860226i | \(-0.670323\pi\) |
0.247708 | + | 0.968835i | \(0.420323\pi\) | |||||||
\(180\) | 121909. | + | 221325.i | 0.280448 | + | 0.509153i | ||||
\(181\) | 266514. | − | 643421.i | 0.604676 | − | 1.45982i | −0.264042 | − | 0.964511i | \(-0.585056\pi\) |
0.868718 | − | 0.495306i | \(-0.164944\pi\) | |||||||
\(182\) | −25740.6 | + | 12373.4i | −0.0576024 | + | 0.0276891i | ||||
\(183\) | −131477. | + | 131477.i | −0.290215 | + | 0.290215i | ||||
\(184\) | −394724. | + | 66194.8i | −0.859506 | + | 0.144138i | ||||
\(185\) | −138401. | − | 138401.i | −0.297311 | − | 0.297311i | ||||
\(186\) | 33188.1 | + | 11639.7i | 0.0703397 | + | 0.0246694i | ||||
\(187\) | −636352. | − | 263586.i | −1.33074 | − | 0.551211i | ||||
\(188\) | 402166. | − | 44730.5i | 0.829871 | − | 0.0923015i | ||||
\(189\) | −75906.1 | − | 183254.i | −0.154569 | − | 0.373163i | ||||
\(190\) | −206866. | + | 231150.i | −0.415724 | + | 0.464525i | ||||
\(191\) | 967329. | 1.91863 | 0.959314 | − | 0.282340i | \(-0.0911106\pi\) | ||||
0.959314 | + | 0.282340i | \(0.0911106\pi\) | |||||||
\(192\) | −102350. | + | 90678.0i | −0.200370 | + | 0.177521i | ||||
\(193\) | 217442. | 0.420195 | 0.210097 | − | 0.977680i | \(-0.432622\pi\) | ||||
0.210097 | + | 0.977680i | \(0.432622\pi\) | |||||||
\(194\) | −392174. | + | 438211.i | −0.748125 | + | 0.835947i | ||||
\(195\) | 2782.12 | + | 6716.64i | 0.00523950 | + | 0.0126493i | ||||
\(196\) | −207276. | + | 23054.1i | −0.385398 | + | 0.0428655i | ||||
\(197\) | 186959. | + | 77441.0i | 0.343227 | + | 0.142169i | 0.547637 | − | 0.836716i | \(-0.315528\pi\) |
−0.204410 | + | 0.978885i | \(0.565528\pi\) | |||||||
\(198\) | 573002. | + | 200962.i | 1.03871 | + | 0.364294i | ||||
\(199\) | −540732. | − | 540732.i | −0.967942 | − | 0.967942i | 0.0315603 | − | 0.999502i | \(-0.489952\pi\) |
−0.999502 | + | 0.0315603i | \(0.989952\pi\) | |||||||
\(200\) | −56877.2 | − | 339163.i | −0.100546 | − | 0.599561i | ||||
\(201\) | −38762.4 | + | 38762.4i | −0.0676737 | + | 0.0676737i | ||||
\(202\) | −410828. | + | 197482.i | −0.708405 | + | 0.340526i | ||||
\(203\) | −144011. | + | 347674.i | −0.245277 | + | 0.592150i | ||||
\(204\) | −93258.1 | − | 169310.i | −0.156896 | − | 0.284844i | ||||
\(205\) | −527716. | + | 218587.i | −0.877032 | + | 0.363279i | ||||
\(206\) | 561021. | − | 31103.6i | 0.921109 | − | 0.0510672i | ||||
\(207\) | 498773.i | 0.809054i | ||||||||
\(208\) | 41650.5 | − | 29373.7i | 0.0667516 | − | 0.0470761i | ||||
\(209\) | 745453.i | 1.18047i | ||||||||
\(210\) | −4639.73 | − | 83687.7i | −0.00726013 | − | 0.130952i | ||||
\(211\) | −82362.7 | + | 34115.8i | −0.127358 | + | 0.0527532i | −0.445452 | − | 0.895306i | \(-0.646957\pi\) |
0.318095 | + | 0.948059i | \(0.396957\pi\) | |||||||
\(212\) | −158266. | − | 45841.1i | −0.241851 | − | 0.0700511i | ||||
\(213\) | 125166. | − | 302179.i | 0.189034 | − | 0.456368i | ||||
\(214\) | −127436. | − | 265110.i | −0.190221 | − | 0.395723i | ||||
\(215\) | 316191. | − | 316191.i | 0.466501 | − | 0.466501i | ||||
\(216\) | 187677. | + | 300115.i | 0.273702 | + | 0.437677i | ||||
\(217\) | 106865. | + | 106865.i | 0.154059 | + | 0.154059i | ||||
\(218\) | 369851. | − | 1.05455e6i | 0.527090 | − | 1.50289i | ||||
\(219\) | 41972.4 | + | 17385.5i | 0.0591362 | + | 0.0244950i | ||||
\(220\) | 416228. | + | 332906.i | 0.579795 | + | 0.463730i | ||||
\(221\) | 27570.7 | + | 66561.4i | 0.0379723 | + | 0.0916731i | ||||
\(222\) | −98361.5 | − | 88027.9i | −0.133950 | − | 0.119878i | ||||
\(223\) | 526236. | 0.708628 | 0.354314 | − | 0.935127i | \(-0.384714\pi\) | ||||
0.354314 | + | 0.935127i | \(0.384714\pi\) | |||||||
\(224\) | −565205. | + | 160645.i | −0.752638 | + | 0.213918i | ||||
\(225\) | −428566. | −0.564367 | ||||||||
\(226\) | −988131. | − | 884321.i | −1.28690 | − | 1.15170i | ||||
\(227\) | −134730. | − | 325268.i | −0.173541 | − | 0.418964i | 0.813047 | − | 0.582198i | \(-0.197807\pi\) |
−0.986587 | + | 0.163234i | \(0.947807\pi\) | |||||||
\(228\) | −130667. | + | 163371.i | −0.166467 | + | 0.208131i | ||||
\(229\) | 516642. | + | 214000.i | 0.651030 | + | 0.269666i | 0.683659 | − | 0.729802i | \(-0.260388\pi\) |
−0.0326283 | + | 0.999468i | \(0.510388\pi\) | |||||||
\(230\) | −144890. | + | 413124.i | −0.180601 | + | 0.514945i | ||||
\(231\) | −142427. | − | 142427.i | −0.175615 | − | 0.175615i | ||||
\(232\) | 150840. | − | 654395.i | 0.183991 | − | 0.798215i | ||||
\(233\) | −219827. | + | 219827.i | −0.265272 | + | 0.265272i | −0.827192 | − | 0.561920i | \(-0.810063\pi\) |
0.561920 | + | 0.827192i | \(0.310063\pi\) | |||||||
\(234\) | −27516.9 | − | 57244.2i | −0.0328518 | − | 0.0683426i | ||||
\(235\) | 169383. | − | 408927.i | 0.200078 | − | 0.483032i | ||||
\(236\) | 304872. | − | 1.05257e6i | 0.356318 | − | 1.23019i | ||||
\(237\) | 165316. | − | 68476.1i | 0.191181 | − | 0.0791897i | ||||
\(238\) | −45979.4 | − | 829339.i | −0.0526164 | − | 0.949052i | ||||
\(239\) | 449887.i | 0.509458i | 0.967012 | + | 0.254729i | \(0.0819863\pi\) | ||||
−0.967012 | + | 0.254729i | \(0.918014\pi\) | |||||||
\(240\) | 32865.5 | + | 145917.i | 0.0368309 | + | 0.163523i | ||||
\(241\) | 200902.i | 0.222813i | 0.993775 | + | 0.111407i | \(0.0355356\pi\) | ||||
−0.993775 | + | 0.111407i | \(0.964464\pi\) | |||||||
\(242\) | 369227. | − | 20470.3i | 0.405280 | − | 0.0224691i | ||||
\(243\) | 618874. | − | 256346.i | 0.672337 | − | 0.278491i | ||||
\(244\) | 1.24890e6 | − | 687912.i | 1.34293 | − | 0.739704i | ||||
\(245\) | −87300.1 | + | 210761.i | −0.0929179 | + | 0.224324i | ||||
\(246\) | −347185. | + | 166890.i | −0.365783 | + | 0.175829i | ||||
\(247\) | 55135.3 | − | 55135.3i | 0.0575026 | − | 0.0575026i | ||||
\(248\) | −219619. | − | 156538.i | −0.226747 | − | 0.161618i | ||||
\(249\) | 285319. | + | 285319.i | 0.291630 | + | 0.291630i | ||||
\(250\) | −938875. | − | 329281.i | −0.950074 | − | 0.333209i | ||||
\(251\) | 548084. | + | 227024.i | 0.549115 | + | 0.227451i | 0.639952 | − | 0.768415i | \(-0.278954\pi\) |
−0.0908372 | + | 0.995866i | \(0.528954\pi\) | |||||||
\(252\) | 80945.3 | + | 727769.i | 0.0802953 | + | 0.721925i | ||||
\(253\) | 402615. | + | 971998.i | 0.395447 | + | 0.954694i | ||||
\(254\) | −703763. | + | 786378.i | −0.684451 | + | 0.764798i | ||||
\(255\) | −211434. | −0.203622 | ||||||||
\(256\) | 947323. | − | 449545.i | 0.903438 | − | 0.428719i | ||||
\(257\) | 306264. | 0.289244 | 0.144622 | − | 0.989487i | \(-0.453803\pi\) | ||||
0.144622 | + | 0.989487i | \(0.453803\pi\) | |||||||
\(258\) | 201108. | − | 224716.i | 0.188096 | − | 0.210177i | ||||
\(259\) | −217066. | − | 524043.i | −0.201067 | − | 0.485419i | ||||
\(260\) | −6162.66 | − | 55407.7i | −0.00565372 | − | 0.0508319i | ||||
\(261\) | −773186. | − | 320264.i | −0.702559 | − | 0.291009i | ||||
\(262\) | −231095. | − | 81049.4i | −0.207988 | − | 0.0729451i | ||||
\(263\) | 1.20183e6 | + | 1.20183e6i | 1.07140 | + | 1.07140i | 0.997247 | + | 0.0741551i | \(0.0236260\pi\) |
0.0741551 | + | 0.997247i | \(0.476374\pi\) | |||||||
\(264\) | 292701. | + | 208629.i | 0.258473 | + | 0.184232i | ||||
\(265\) | −127445. | + | 127445.i | −0.111483 | + | 0.111483i | ||||
\(266\) | −810206. | + | 389461.i | −0.702088 | + | 0.337489i | ||||
\(267\) | 147440. | − | 355951.i | 0.126572 | − | 0.305571i | ||||
\(268\) | 368205. | − | 202812.i | 0.313150 | − | 0.172487i | ||||
\(269\) | −937950. | + | 388512.i | −0.790313 | + | 0.327358i | −0.741069 | − | 0.671428i | \(-0.765681\pi\) |
−0.0492435 | + | 0.998787i | \(0.515681\pi\) | |||||||
\(270\) | 386590. | − | 21432.9i | 0.322731 | − | 0.0178925i | ||||
\(271\) | − | 2.35122e6i | − | 1.94478i | −0.233368 | − | 0.972388i | \(-0.574975\pi\) | ||
0.233368 | − | 0.972388i | \(-0.425025\pi\) | |||||||
\(272\) | 325695. | + | 1.44603e6i | 0.266925 | + | 1.18510i | ||||
\(273\) | 21068.4i | 0.0171090i | ||||||||
\(274\) | 94000.0 | + | 1.69550e6i | 0.0756400 | + | 1.36433i | ||||
\(275\) | −835180. | + | 345943.i | −0.665961 | + | 0.275850i | ||||
\(276\) | −82141.3 | + | 283592.i | −0.0649066 | + | 0.224090i | ||||
\(277\) | −692891. | + | 1.67279e6i | −0.542582 | + | 1.30991i | 0.380313 | + | 0.924858i | \(0.375816\pi\) |
−0.922895 | + | 0.385051i | \(0.874184\pi\) | |||||||
\(278\) | −748884. | − | 1.55793e6i | −0.581170 | − | 1.20902i | ||||
\(279\) | −237656. | + | 237656.i | −0.182784 | + | 0.182784i | ||||
\(280\) | −144366. | + | 626310.i | −0.110045 | + | 0.477413i | ||||
\(281\) | −124792. | − | 124792.i | −0.0942806 | − | 0.0942806i | 0.658393 | − | 0.752674i | \(-0.271236\pi\) |
−0.752674 | + | 0.658393i | \(0.771236\pi\) | |||||||
\(282\) | 98790.5 | − | 281680.i | 0.0739763 | − | 0.210928i | ||||
\(283\) | −42645.5 | − | 17664.3i | −0.0316524 | − | 0.0131109i | 0.366801 | − | 0.930299i | \(-0.380453\pi\) |
−0.398453 | + | 0.917189i | \(0.630453\pi\) | |||||||
\(284\) | −1.56660e6 | + | 1.95870e6i | −1.15256 | + | 1.44103i | ||||
\(285\) | 87569.5 | + | 211411.i | 0.0638617 | + | 0.154176i | ||||
\(286\) | −99832.3 | − | 89344.2i | −0.0721699 | − | 0.0645879i | ||||
\(287\) | −1.65531e6 | −1.18625 | ||||||||
\(288\) | −357256. | − | 1.25695e6i | −0.253804 | − | 0.892970i | ||||
\(289\) | −675442. | −0.475711 | ||||||||
\(290\) | −547380. | − | 489874.i | −0.382203 | − | 0.342050i | ||||
\(291\) | 166013. | + | 400791.i | 0.114924 | + | 0.277451i | ||||
\(292\) | −272062. | − | 217600.i | −0.186728 | − | 0.149349i | ||||
\(293\) | 7886.57 | + | 3266.72i | 0.00536684 | + | 0.00222302i | 0.385365 | − | 0.922764i | \(-0.374075\pi\) |
−0.379998 | + | 0.924987i | \(0.624075\pi\) | |||||||
\(294\) | −50916.7 | + | 145178.i | −0.0343551 | + | 0.0979564i | ||||
\(295\) | −847589. | − | 847589.i | −0.567061 | − | 0.567061i | ||||
\(296\) | 536693. | + | 858226.i | 0.356038 | + | 0.569341i | ||||
\(297\) | 657932. | − | 657932.i | 0.432803 | − | 0.432803i | ||||
\(298\) | 1.05700e6 | + | 2.19891e6i | 0.689501 | + | 1.43439i | ||||
\(299\) | 42112.9 | − | 101669.i | 0.0272419 | − | 0.0657677i | ||||
\(300\) | −243674. | − | 70579.1i | −0.156317 | − | 0.0452765i | ||||
\(301\) | 1.19722e6 | − | 495906.i | 0.761656 | − | 0.315488i | ||||
\(302\) | −33611.1 | − | 606250.i | −0.0212063 | − | 0.382503i | ||||
\(303\) | 336258.i | 0.210410i | ||||||||
\(304\) | 1.31098e6 | − | 924561.i | 0.813603 | − | 0.573788i | ||||
\(305\) | − | 1.55963e6i | − | 0.960001i | ||||||
\(306\) | 1.84435e6 | − | 102253.i | 1.12601 | − | 0.0624269i | ||||
\(307\) | 1.11769e6 | − | 462964.i | 0.676826 | − | 0.280351i | −0.0176733 | − | 0.999844i | \(-0.505626\pi\) |
0.694499 | + | 0.719493i | \(0.255626\pi\) | |||||||
\(308\) | 745206. | + | 1.35292e6i | 0.447610 | + | 0.812634i | ||||
\(309\) | 158620. | − | 382942.i | 0.0945064 | − | 0.228159i | ||||
\(310\) | −265883. | + | 127808.i | −0.157140 | + | 0.0755362i | ||||
\(311\) | 910647. | − | 910647.i | 0.533887 | − | 0.533887i | −0.387840 | − | 0.921727i | \(-0.626779\pi\) |
0.921727 | + | 0.387840i | \(0.126779\pi\) | |||||||
\(312\) | −6218.20 | − | 37079.5i | −0.00361641 | − | 0.0215649i | ||||
\(313\) | −228.236 | − | 228.236i | −0.000131681 | − | 0.000131681i | 0.707041 | − | 0.707173i | \(-0.250030\pi\) |
−0.707173 | + | 0.707041i | \(0.750030\pi\) | |||||||
\(314\) | 2.08519e6 | + | 731313.i | 1.19349 | + | 0.418581i | ||||
\(315\) | 740004. | + | 306519.i | 0.420201 | + | 0.174053i | ||||
\(316\) | −1.36374e6 | + | 151681.i | −0.768272 | + | 0.0854502i | ||||
\(317\) | −1.16342e6 | − | 2.80875e6i | −0.650264 | − | 1.56988i | −0.812395 | − | 0.583107i | \(-0.801837\pi\) |
0.162131 | − | 0.986769i | \(-0.448163\pi\) | |||||||
\(318\) | −81059.0 | + | 90574.5i | −0.0449504 | + | 0.0502271i | ||||
\(319\) | −1.76529e6 | −0.971267 | ||||||||
\(320\) | 69227.6 | − | 1.14489e6i | 0.0377924 | − | 0.625011i | ||||
\(321\) | −216989. | −0.117537 | ||||||||
\(322\) | −846085. | + | 945408.i | −0.454752 | + | 0.508135i | ||||
\(323\) | 867807. | + | 2.09507e6i | 0.462825 | + | 1.11736i | ||||
\(324\) | −1.48389e6 | + | 165044.i | −0.785307 | + | 0.0873449i | ||||
\(325\) | 87358.5 | + | 36185.1i | 0.0458772 | + | 0.0190030i | ||||
\(326\) | 3.01744e6 | + | 1.05827e6i | 1.57251 | + | 0.551510i | ||||
\(327\) | −582929. | − | 582929.i | −0.301471 | − | 0.301471i | ||||
\(328\) | 2.91328e6 | − | 488554.i | 1.49519 | − | 0.250743i | ||||
\(329\) | 907007. | − | 907007.i | 0.461978 | − | 0.461978i | ||||
\(330\) | 354361. | − | 170339.i | 0.179127 | − | 0.0861052i | ||||
\(331\) | 677086. | − | 1.63463e6i | 0.339683 | − | 0.820067i | −0.658063 | − | 0.752963i | \(-0.728624\pi\) |
0.997746 | − | 0.0671042i | \(-0.0213760\pi\) | |||||||
\(332\) | −1.49285e6 | − | 2.71026e6i | −0.743310 | − | 1.34948i | ||||
\(333\) | 1.16541e6 | − | 482728.i | 0.575927 | − | 0.238557i | ||||
\(334\) | −1.45649e6 | + | 80749.1i | −0.714398 | + | 0.0396069i | ||||
\(335\) | − | 459815.i | − | 0.223857i | ||||||
\(336\) | −73829.9 | + | 427125.i | −0.0356766 | + | 0.206399i | ||||
\(337\) | − | 1.87560e6i | − | 0.899634i | −0.893121 | − | 0.449817i | \(-0.851489\pi\) | ||
0.893121 | − | 0.449817i | \(-0.148511\pi\) | |||||||
\(338\) | −115491. | − | 2.08314e6i | −0.0549867 | − | 0.991805i | ||||
\(339\) | −903753. | + | 374347.i | −0.427120 | + | 0.176919i | ||||
\(340\) | 1.55734e6 | + | 451078.i | 0.730613 | + | 0.211619i | ||||
\(341\) | −271300. | + | 654977.i | −0.126347 | + | 0.305028i | ||||
\(342\) | −866115. | − | 1.80180e6i | −0.400415 | − | 0.832995i | ||||
\(343\) | −1.67300e6 | + | 1.67300e6i | −0.767820 | + | 0.767820i | ||||
\(344\) | −1.96070e6 | + | 1.22612e6i | −0.893335 | + | 0.558648i | ||||
\(345\) | 228364. | + | 228364.i | 0.103295 | + | 0.103295i | ||||
\(346\) | −300262. | + | 856133.i | −0.134837 | + | 0.384460i | ||||
\(347\) | 136441. | + | 56515.9i | 0.0608307 | + | 0.0251969i | 0.412891 | − | 0.910780i | \(-0.364519\pi\) |
−0.352061 | + | 0.935977i | \(0.614519\pi\) | |||||||
\(348\) | −386874. | − | 309429.i | −0.171247 | − | 0.136966i | ||||
\(349\) | 1.29053e6 | + | 3.11561e6i | 0.567157 | + | 1.36924i | 0.903941 | + | 0.427656i | \(0.140661\pi\) |
−0.336784 | + | 0.941582i | \(0.609339\pi\) | |||||||
\(350\) | −812332. | − | 726991.i | −0.354457 | − | 0.317219i | ||||
\(351\) | −97324.2 | −0.0421651 | ||||||||
\(352\) | −1.71083e6 | − | 2.16114e6i | −0.735955 | − | 0.929663i | ||||
\(353\) | 395898. | 0.169101 | 0.0845506 | − | 0.996419i | \(-0.473055\pi\) | ||||
0.0845506 | + | 0.996419i | \(0.473055\pi\) | |||||||
\(354\) | −602379. | − | 539094.i | −0.255483 | − | 0.228642i | ||||
\(355\) | 1.04990e6 | + | 2.53467e6i | 0.442156 | + | 1.06746i | ||||
\(356\) | −1.84538e6 | + | 2.30725e6i | −0.771721 | + | 0.964871i | ||||
\(357\) | −566091. | − | 234483.i | −0.235080 | − | 0.0973733i | ||||
\(358\) | 227773. | − | 649446.i | 0.0939279 | − | 0.267815i | ||||
\(359\) | 605044. | + | 605044.i | 0.247771 | + | 0.247771i | 0.820055 | − | 0.572284i | \(-0.193943\pi\) |
−0.572284 | + | 0.820055i | \(0.693943\pi\) | |||||||
\(360\) | −1.39284e6 | − | 321054.i | −0.566429 | − | 0.130564i | ||||
\(361\) | −15439.1 | + | 15439.1i | −0.00623527 | + | 0.00623527i | ||||
\(362\) | 1.70680e6 | + | 3.55070e6i | 0.684559 | + | 1.42411i | ||||
\(363\) | 104393. | − | 252027.i | 0.0415820 | − | 0.100388i | ||||
\(364\) | 44947.8 | − | 155182.i | 0.0177810 | − | 0.0613886i | ||||
\(365\) | −352064. | + | 145830.i | −0.138321 | + | 0.0572946i | ||||
\(366\) | −58224.1 | − | 1.05020e6i | −0.0227196 | − | 0.409797i | ||||
\(367\) | 2.30685e6i | 0.894035i | 0.894525 | + | 0.447017i | \(0.147514\pi\) | ||||
−0.894525 | + | 0.447017i | \(0.852486\pi\) | |||||||
\(368\) | 1.21004e6 | − | 1.91359e6i | 0.465780 | − | 0.736597i | ||||
\(369\) | − | 3.68122e6i | − | 1.40743i | ||||||
\(370\) | 1.10551e6 | − | 61290.8i | 0.419817 | − | 0.0232751i | ||||
\(371\) | −482556. | + | 199881.i | −0.182017 | + | 0.0753940i | ||||
\(372\) | −174265. | + | 95987.6i | −0.0652910 | + | 0.0359632i | ||||
\(373\) | −1.70481e6 | + | 4.11577e6i | −0.634459 | + | 1.53172i | 0.199502 | + | 0.979897i | \(0.436068\pi\) |
−0.833961 | + | 0.551823i | \(0.813932\pi\) | |||||||
\(374\) | 3.51169e6 | − | 1.68805e6i | 1.29819 | − | 0.624030i | ||||
\(375\) | −518986. | + | 518986.i | −0.190580 | + | 0.190580i | ||||
\(376\) | −1.32860e6 | + | 1.86399e6i | −0.484645 | + | 0.679945i | ||||
\(377\) | 130565. | + | 130565.i | 0.0473121 | + | 0.0473121i | ||||
\(378\) | 1.05882e6 | + | 371347.i | 0.381147 | + | 0.133675i | ||||
\(379\) | 141619. | + | 58660.7i | 0.0506436 | + | 0.0209773i | 0.407861 | − | 0.913044i | \(-0.366275\pi\) |
−0.357218 | + | 0.934021i | \(0.616275\pi\) | |||||||
\(380\) | −193974. | − | 1.74400e6i | −0.0689105 | − | 0.619565i | ||||
\(381\) | 297914. | + | 719227.i | 0.105142 | + | 0.253836i | ||||
\(382\) | −3.64919e6 | + | 4.07757e6i | −1.27950 | + | 1.42970i | ||||
\(383\) | −3.47509e6 | −1.21051 | −0.605255 | − | 0.796031i | \(-0.706929\pi\) | ||||
−0.605255 | + | 0.796031i | \(0.706929\pi\) | |||||||
\(384\) | 3874.46 | − | 773511.i | 0.00134086 | − | 0.267694i | ||||
\(385\) | 1.68953e6 | 0.580916 | ||||||||
\(386\) | −820288. | + | 916582.i | −0.280219 | + | 0.313114i | ||||
\(387\) | 1.10284e6 | + | 2.66248e6i | 0.374312 | + | 0.903669i | ||||
\(388\) | −367734. | − | 3.30625e6i | −0.124009 | − | 1.11495i | ||||
\(389\) | −2.61566e6 | − | 1.08344e6i | −0.876411 | − | 0.363021i | −0.101307 | − | 0.994855i | \(-0.532302\pi\) |
−0.775104 | + | 0.631834i | \(0.782302\pi\) | |||||||
\(390\) | −38808.0 | − | 13610.7i | −0.0129199 | − | 0.00453125i | ||||
\(391\) | 2.26307e6 | + | 2.26307e6i | 0.748612 | + | 0.748612i | ||||
\(392\) | 684759. | − | 960701.i | 0.225073 | − | 0.315772i | ||||
\(393\) | −127743. | + | 127743.i | −0.0417212 | + | 0.0417212i | ||||
\(394\) | −1.03173e6 | + | 495945.i | −0.334830 | + | 0.160951i | ||||
\(395\) | −574378. | + | 1.38667e6i | −0.185227 | + | 0.447178i | ||||
\(396\) | −3.00873e6 | + | 1.65725e6i | −0.964152 | + | 0.531068i | ||||
\(397\) | 4.16657e6 | − | 1.72585e6i | 1.32679 | − | 0.549575i | 0.397052 | − | 0.917796i | \(-0.370033\pi\) |
0.929738 | + | 0.368222i | \(0.120033\pi\) | |||||||
\(398\) | 4.31922e6 | − | 239462.i | 1.36678 | − | 0.0757755i | ||||
\(399\) | 663145.i | 0.208534i | ||||||||
\(400\) | 1.64424e6 | + | 1.03972e6i | 0.513824 | + | 0.324912i | ||||
\(401\) | − | 2.33922e6i | − | 0.726458i | −0.931700 | − | 0.363229i | \(-0.881674\pi\) | ||
0.931700 | − | 0.363229i | \(-0.118326\pi\) | |||||||
\(402\) | −17165.8 | − | 309623.i | −0.00529785 | − | 0.0955583i | ||||
\(403\) | 68509.6 | − | 28377.6i | 0.0210130 | − | 0.00870388i | ||||
\(404\) | 717380. | − | 2.47675e6i | 0.218673 | − | 0.754969i | ||||
\(405\) | −624981. | + | 1.50884e6i | −0.189334 | + | 0.457094i | ||||
\(406\) | −922273. | − | 1.91863e6i | −0.277680 | − | 0.577665i | ||||
\(407\) | 1.88146e6 | − | 1.88146e6i | 0.563001 | − | 0.563001i | ||||
\(408\) | 1.06550e6 | + | 245601.i | 0.316886 | + | 0.0730432i | ||||
\(409\) | 3.69884e6 | + | 3.69884e6i | 1.09335 | + | 1.09335i | 0.995169 | + | 0.0981762i | \(0.0313009\pi\) |
0.0981762 | + | 0.995169i | \(0.468699\pi\) | |||||||
\(410\) | 1.06937e6 | − | 3.04908e6i | 0.314173 | − | 0.895797i | ||||
\(411\) | 1.15731e6 | + | 479375.i | 0.337945 | + | 0.139981i | ||||
\(412\) | −1.98531e6 | + | 2.48220e6i | −0.576216 | + | 0.720434i | ||||
\(413\) | −1.32934e6 | − | 3.20930e6i | −0.383495 | − | 0.925840i | ||||
\(414\) | −2.10248e6 | − | 1.88159e6i | −0.602879 | − | 0.539542i | ||||
\(415\) | −3.38457e6 | −0.964681 | ||||||||
\(416\) | −33305.3 | + | 286380.i | −0.00943582 | + | 0.0811351i | ||||
\(417\) | −1.27514e6 | −0.359103 | ||||||||
\(418\) | −3.14230e6 | − | 2.81218e6i | −0.879644 | − | 0.787231i | ||||
\(419\) | 175695. | + | 424166.i | 0.0488906 | + | 0.118032i | 0.946438 | − | 0.322886i | \(-0.104653\pi\) |
−0.897547 | + | 0.440918i | \(0.854653\pi\) | |||||||
\(420\) | 370271. | + | 296149.i | 0.102423 | + | 0.0819195i | ||||
\(421\) | −111926. | − | 46361.5i | −0.0307771 | − | 0.0127483i | 0.367242 | − | 0.930126i | \(-0.380302\pi\) |
−0.398019 | + | 0.917377i | \(0.630302\pi\) | |||||||
\(422\) | 166901. | − | 475883.i | 0.0456223 | − | 0.130082i | ||||
\(423\) | 2.01708e6 | + | 2.01708e6i | 0.548115 | + | 0.548115i | ||||
\(424\) | 790283. | − | 494205.i | 0.213485 | − | 0.133503i | ||||
\(425\) | −1.94453e6 | + | 1.94453e6i | −0.522205 | + | 0.522205i | ||||
\(426\) | 801587. | + | 1.66756e6i | 0.214006 | + | 0.445204i | ||||
\(427\) | 1.72964e6 | − | 4.17573e6i | 0.459078 | − | 1.10831i | ||||
\(428\) | 1.59826e6 | + | 462929.i | 0.421734 | + | 0.122153i | ||||
\(429\) | −91307.4 | + | 37820.8i | −0.0239532 | + | 0.00992173i | ||||
\(430\) | 140024. | + | 2.52565e6i | 0.0365202 | + | 0.658721i | ||||
\(431\) | − | 4.86314e6i | − | 1.26103i | −0.776179 | − | 0.630513i | \(-0.782845\pi\) | ||
0.776179 | − | 0.630513i | \(-0.217155\pi\) | |||||||
\(432\) | −1.97307e6 | − | 341052.i | −0.508668 | − | 0.0879248i | ||||
\(433\) | 2.57930e6i | 0.661123i | 0.943785 | + | 0.330561i | \(0.107238\pi\) | ||||
−0.943785 | + | 0.330561i | \(0.892762\pi\) | |||||||
\(434\) | −853612. | + | 47325.1i | −0.217539 | + | 0.0120606i | ||||
\(435\) | −500638. | + | 207371.i | −0.126853 | + | 0.0525442i | ||||
\(436\) | 3.05000e6 | + | 5.53726e6i | 0.768393 | + | 1.39502i | ||||
\(437\) | 1.32554e6 | − | 3.20012e6i | 0.332038 | − | 0.801610i | ||||
\(438\) | −231623. | + | 111340.i | −0.0576895 | + | 0.0277310i | ||||
\(439\) | 3.13352e6 | − | 3.13352e6i | 0.776016 | − | 0.776016i | −0.203135 | − | 0.979151i | \(-0.565113\pi\) |
0.979151 | + | 0.203135i | \(0.0651130\pi\) | |||||||
\(440\) | −2.97349e6 | + | 498652.i | −0.732210 | + | 0.122791i | ||||
\(441\) | −1.03960e6 | − | 1.03960e6i | −0.254549 | − | 0.254549i | ||||
\(442\) | −384585. | − | 134881.i | −0.0936346 | − | 0.0328394i | ||||
\(443\) | −5.53493e6 | − | 2.29264e6i | −1.33999 | − | 0.555044i | −0.406505 | − | 0.913649i | \(-0.633252\pi\) |
−0.933489 | + | 0.358605i | \(0.883252\pi\) | |||||||
\(444\) | 742126. | − | 82542.2i | 0.178657 | − | 0.0198709i | ||||
\(445\) | 1.23672e6 | + | 2.98571e6i | 0.296055 | + | 0.714740i | ||||
\(446\) | −1.98519e6 | + | 2.21824e6i | −0.472570 | + | 0.528045i | ||||
\(447\) | 1.79978e6 | 0.426041 | ||||||||
\(448\) | 1.45504e6 | − | 2.98853e6i | 0.342515 | − | 0.703497i | ||||
\(449\) | −6.39099e6 | −1.49607 | −0.748036 | − | 0.663658i | \(-0.769003\pi\) | ||||
−0.748036 | + | 0.663658i | \(0.769003\pi\) | |||||||
\(450\) | 1.61674e6 | − | 1.80653e6i | 0.376365 | − | 0.420547i | ||||
\(451\) | −2.97152e6 | − | 7.17388e6i | −0.687919 | − | 1.66078i | ||||
\(452\) | 7.45534e6 | − | 829212.i | 1.71641 | − | 0.190906i | ||||
\(453\) | −413815. | − | 171408.i | −0.0947459 | − | 0.0392450i | ||||
\(454\) | 1.87936e6 | + | 659127.i | 0.427928 | + | 0.150082i | ||||
\(455\) | −124961. | − | 124961.i | −0.0282974 | − | 0.0282974i | ||||
\(456\) | −195722. | − | 1.16711e6i | −0.0440787 | − | 0.262844i | ||||
\(457\) | −884261. | + | 884261.i | −0.198057 | + | 0.198057i | −0.799167 | − | 0.601110i | \(-0.794725\pi\) |
0.601110 | + | 0.799167i | \(0.294725\pi\) | |||||||
\(458\) | −2.85108e6 | + | 1.37049e6i | −0.635104 | + | 0.305291i | ||||
\(459\) | 1.08318e6 | − | 2.61502e6i | 0.239976 | − | 0.579353i | ||||
\(460\) | −1.19485e6 | − | 2.16924e6i | −0.263280 | − | 0.477984i | ||||
\(461\) | 2.63521e6 | − | 1.09154e6i | 0.577514 | − | 0.239214i | −0.0747549 | − | 0.997202i | \(-0.523817\pi\) |
0.652269 | + | 0.757988i | \(0.273817\pi\) | |||||||
\(462\) | 1.13767e6 | − | 63073.5i | 0.247977 | − | 0.0137481i | ||||
\(463\) | − | 2.13502e6i | − | 0.462860i | −0.972852 | − | 0.231430i | \(-0.925660\pi\) | ||
0.972852 | − | 0.231430i | \(-0.0743404\pi\) | |||||||
\(464\) | 2.18943e6 | + | 3.10450e6i | 0.472102 | + | 0.669417i | ||||
\(465\) | 217623.i | 0.0466736i | ||||||||
\(466\) | −97349.9 | − | 1.75592e6i | −0.0207669 | − | 0.374576i | ||||
\(467\) | −5.22052e6 | + | 2.16241e6i | −1.10770 | + | 0.458824i | −0.860145 | − | 0.510050i | \(-0.829627\pi\) |
−0.247554 | + | 0.968874i | \(0.579627\pi\) | |||||||
\(468\) | 345107. | + | 99958.6i | 0.0728348 | + | 0.0210963i | ||||
\(469\) | 509939. | − | 1.23110e6i | 0.107050 | − | 0.258441i | ||||
\(470\) | 1.08476e6 | + | 2.25665e6i | 0.226510 | + | 0.471216i | ||||
\(471\) | 1.15264e6 | − | 1.15264e6i | 0.239409 | − | 0.239409i | ||||
\(472\) | 3.28678e6 | + | 5.25589e6i | 0.679071 | + | 1.08590i | ||||
\(473\) | 4.29836e6 | + | 4.29836e6i | 0.883386 | + | 0.883386i | ||||
\(474\) | −334998. | + | 955177.i | −0.0684852 | + | 0.195271i | ||||
\(475\) | 2.74968e6 | + | 1.13895e6i | 0.559175 | + | 0.231618i | ||||
\(476\) | 3.66936e6 | + | 2.93482e6i | 0.742289 | + | 0.593696i | ||||
\(477\) | −444512. | − | 1.07315e6i | −0.0894515 | − | 0.215955i | ||||
\(478\) | −1.89640e6 | − | 1.69717e6i | −0.379631 | − | 0.339748i | ||||
\(479\) | 6.23378e6 | 1.24140 | 0.620701 | − | 0.784047i | \(-0.286848\pi\) | ||||
0.620701 | + | 0.784047i | \(0.286848\pi\) | |||||||
\(480\) | −739067. | − | 411927.i | −0.146413 | − | 0.0816050i | ||||
\(481\) | −278314. | −0.0548494 | ||||||||
\(482\) | −846859. | − | 757890.i | −0.166033 | − | 0.148590i | ||||
\(483\) | 358161. | + | 864677.i | 0.0698571 | + | 0.168650i | ||||
\(484\) | −1.30660e6 | + | 1.63362e6i | −0.253530 | + | 0.316985i | ||||
\(485\) | −3.36183e6 | − | 1.39252e6i | −0.648966 | − | 0.268811i | ||||
\(486\) | −1.25409e6 | + | 3.57579e6i | −0.240846 | + | 0.686722i | ||||
\(487\) | −1.22059e6 | − | 1.22059e6i | −0.233210 | − | 0.233210i | 0.580821 | − | 0.814031i | \(-0.302732\pi\) |
−0.814031 | + | 0.580821i | \(0.802732\pi\) | |||||||
\(488\) | −1.81166e6 | + | 7.85959e6i | −0.344371 | + | 1.49400i | ||||
\(489\) | 1.66796e6 | − | 1.66796e6i | 0.315438 | − | 0.315438i | ||||
\(490\) | −559085. | − | 1.16308e6i | −0.105193 | − | 0.218836i | ||||
\(491\) | 1.80472e6 | − | 4.35699e6i | 0.337837 | − | 0.815610i | −0.660086 | − | 0.751190i | \(-0.729480\pi\) |
0.997923 | − | 0.0644201i | \(-0.0205198\pi\) | |||||||
\(492\) | 606248. | − | 2.09307e6i | 0.112911 | − | 0.389826i | ||||
\(493\) | −4.96129e6 | + | 2.05503e6i | −0.919342 | + | 0.380804i | ||||
\(494\) | 24416.6 | + | 440406.i | 0.00450161 | + | 0.0811963i | ||||
\(495\) | 3.75731e6i | 0.689230i | ||||||||
\(496\) | 1.48835e6 | − | 335228.i | 0.271645 | − | 0.0611837i | ||||
\(497\) | 7.95064e6i | 1.44381i | ||||||||
\(498\) | −2.27905e6 | + | 126353.i | −0.411795 | + | 0.0228303i | ||||
\(499\) | −1.78715e6 | + | 740262.i | −0.321299 | + | 0.133086i | −0.537503 | − | 0.843262i | \(-0.680632\pi\) |
0.216204 | + | 0.976348i | \(0.430632\pi\) | |||||||
\(500\) | 4.92986e6 | − | 2.71544e6i | 0.881881 | − | 0.485752i | ||||
\(501\) | −411798. | + | 994169.i | −0.0732977 | + | 0.176956i | ||||
\(502\) | −3.02459e6 | + | 1.45390e6i | −0.535682 | + | 0.257499i | ||||
\(503\) | −1.12302e6 | + | 1.12302e6i | −0.197909 | + | 0.197909i | −0.799103 | − | 0.601194i | \(-0.794692\pi\) |
0.601194 | + | 0.799103i | \(0.294692\pi\) | |||||||
\(504\) | −3.37312e6 | − | 2.40426e6i | −0.591501 | − | 0.421604i | ||||
\(505\) | −1.99442e6 | − | 1.99442e6i | −0.348007 | − | 0.348007i | ||||
\(506\) | −5.61610e6 | − | 1.96967e6i | −0.975121 | − | 0.341993i | ||||
\(507\) | −1.42191e6 | − | 588974.i | −0.245670 | − | 0.101760i | ||||
\(508\) | −659906. | − | 5.93313e6i | −0.113455 | − | 1.02006i | ||||
\(509\) | −2.41720e6 | − | 5.83563e6i | −0.413540 | − | 0.998375i | −0.984180 | − | 0.177174i | \(-0.943305\pi\) |
0.570639 | − | 0.821201i | \(-0.306695\pi\) | |||||||
\(510\) | 797624. | − | 891257.i | 0.135792 | − | 0.151732i | ||||
\(511\) | −1.10434e6 | −0.187089 | ||||||||
\(512\) | −1.67876e6 | + | 5.68912e6i | −0.283018 | + | 0.959115i | ||||
\(513\) | −3.06335e6 | −0.513930 | ||||||||
\(514\) | −1.15536e6 | + | 1.29099e6i | −0.192891 | + | 0.215534i | ||||
\(515\) | 1.33050e6 | + | 3.21212e6i | 0.221054 | + | 0.533670i | ||||
\(516\) | 188575. | + | 1.69545e6i | 0.0311788 | + | 0.280325i | ||||
\(517\) | 5.55904e6 | + | 2.30263e6i | 0.914689 | + | 0.378877i | ||||
\(518\) | 3.02786e6 | + | 1.06193e6i | 0.495805 | + | 0.173888i | ||||
\(519\) | 473248. | + | 473248.i | 0.0771206 | + | 0.0771206i | ||||
\(520\) | 256808. | + | 183045.i | 0.0416485 | + | 0.0296858i | ||||
\(521\) | −4.50403e6 | + | 4.50403e6i | −0.726954 | + | 0.726954i | −0.970012 | − | 0.243058i | \(-0.921849\pi\) |
0.243058 | + | 0.970012i | \(0.421849\pi\) | |||||||
\(522\) | 4.26681e6 | − | 2.05103e6i | 0.685372 | − | 0.329454i | ||||
\(523\) | −2.56781e6 | + | 6.19925e6i | −0.410496 | + | 0.991026i | 0.574508 | + | 0.818499i | \(0.305193\pi\) |
−0.985005 | + | 0.172527i | \(0.944807\pi\) | |||||||
\(524\) | 1.21344e6 | − | 668379.i | 0.193059 | − | 0.106340i | ||||
\(525\) | −742966. | + | 307746.i | −0.117644 | + | 0.0487298i | ||||
\(526\) | −9.59987e6 | + | 532226.i | −1.51287 | + | 0.0838749i | ||||
\(527\) | 2.15662e6i | 0.338258i | ||||||||
\(528\) | −1.98363e6 | + | 446781.i | −0.309653 | + | 0.0697445i | ||||
\(529\) | 1.54777e6i | 0.240474i | ||||||||
\(530\) | −56438.6 | − | 1.01799e6i | −0.00872743 | − | 0.157418i | ||||
\(531\) | 7.13711e6 | − | 2.95629e6i | 1.09847 | − | 0.454999i | ||||
\(532\) | 1.41477e6 | − | 4.88447e6i | 0.216723 | − | 0.748236i | ||||
\(533\) | −310816. | + | 750377.i | −0.0473899 | + | 0.114409i | ||||
\(534\) | 944229. | + | 1.96431e6i | 0.143293 | + | 0.298096i | ||||
\(535\) | 1.28701e6 | − | 1.28701e6i | 0.194400 | − | 0.194400i | ||||
\(536\) | −534119. | + | 2.31719e6i | −0.0803020 | + | 0.348377i | ||||
\(537\) | −358997. | − | 358997.i | −0.0537224 | − | 0.0537224i | ||||
\(538\) | 1.90067e6 | − | 5.41937e6i | 0.283108 | − | 0.807222i | ||||
\(539\) | −2.86513e6 | − | 1.18678e6i | −0.424788 | − | 0.175953i | ||||
\(540\) | −1.36804e6 | + | 1.71044e6i | −0.201890 | + | 0.252420i | ||||
\(541\) | −665473. | − | 1.60659e6i | −0.0977546 | − | 0.236000i | 0.867436 | − | 0.497549i | \(-0.165767\pi\) |
−0.965190 | + | 0.261549i | \(0.915767\pi\) | |||||||
\(542\) | 9.91107e6 | + | 8.86984e6i | 1.44918 | + | 1.29693i | ||||
\(543\) | 2.90621e6 | 0.422987 | ||||||||
\(544\) | −7.32410e6 | − | 4.08217e6i | −1.06110 | − | 0.591416i | ||||
\(545\) | 6.91494e6 | 0.997235 | ||||||||
\(546\) | −88809.6 | − | 79479.4i | −0.0127491 | − | 0.0114097i | ||||
\(547\) | −2.31233e6 | − | 5.58246e6i | −0.330431 | − | 0.797732i | −0.998558 | − | 0.0536844i | \(-0.982904\pi\) |
0.668126 | − | 0.744048i | \(-0.267096\pi\) | |||||||
\(548\) | −7.50162e6 | − | 5.99993e6i | −1.06710 | − | 0.853482i | ||||
\(549\) | 9.28632e6 | + | 3.84652e6i | 1.31496 | + | 0.544675i | ||||
\(550\) | 1.69242e6 | − | 4.82558e6i | 0.238562 | − | 0.680209i | ||||
\(551\) | 4.10962e6 | + | 4.10962e6i | 0.576664 | + | 0.576664i | ||||
\(552\) | −885551. | − | 1.41608e6i | −0.123699 | − | 0.197807i | ||||
\(553\) | −3.07566e6 | + | 3.07566e6i | −0.427686 | + | 0.427686i | ||||
\(554\) | −4.43739e6 | − | 9.23123e6i | −0.614261 | − | 1.27787i | ||||
\(555\) | 312567. | − | 754602.i | 0.0430735 | − | 0.103989i | ||||
\(556\) | 9.39223e6 | + | 2.72042e6i | 1.28849 | + | 0.373206i | ||||
\(557\) | 5.32043e6 | − | 2.20380e6i | 0.726623 | − | 0.300977i | 0.0114595 | − | 0.999934i | \(-0.496352\pi\) |
0.715163 | + | 0.698957i | \(0.246352\pi\) | |||||||
\(558\) | −105246. | − | 1.89833e6i | −0.0143093 | − | 0.258099i | ||||
\(559\) | − | 635833.i | − | 0.0860625i | ||||||
\(560\) | −2.09547e6 | − | 2.97127e6i | −0.282365 | − | 0.400379i | ||||
\(561\) | − | 2.87428e6i | − | 0.385587i | ||||||
\(562\) | 996808. | − | 55264.0i | 0.133128 | − | 0.00738077i | ||||
\(563\) | −7.68270e6 | + | 3.18228e6i | −1.02151 | + | 0.423124i | −0.829641 | − | 0.558297i | \(-0.811455\pi\) |
−0.191870 | + | 0.981420i | \(0.561455\pi\) | |||||||
\(564\) | 814683. | + | 1.47905e6i | 0.107843 | + | 0.195788i | ||||
\(565\) | 3.14002e6 | − | 7.58067e6i | 0.413820 | − | 0.999049i | ||||
\(566\) | 235338. | − | 113125.i | 0.0308781 | − | 0.0148429i | ||||
\(567\) | −3.34663e6 | + | 3.34663e6i | −0.437170 | + | 0.437170i | ||||
\(568\) | −2.34657e6 | − | 1.39928e7i | −0.305185 | − | 1.81984i | ||||
\(569\) | 2.15736e6 | + | 2.15736e6i | 0.279346 | + | 0.279346i | 0.832848 | − | 0.553502i | \(-0.186709\pi\) |
−0.553502 | + | 0.832848i | \(0.686709\pi\) | |||||||
\(570\) | −1.22151e6 | − | 428407.i | −0.157475 | − | 0.0552292i | ||||
\(571\) | 48674.1 | + | 20161.5i | 0.00624752 | + | 0.00258781i | 0.385805 | − | 0.922580i | \(-0.373924\pi\) |
−0.379557 | + | 0.925168i | \(0.623924\pi\) | |||||||
\(572\) | 753224. | − | 83776.5i | 0.0962573 | − | 0.0107061i | ||||
\(573\) | 1.54476e6 | + | 3.72938e6i | 0.196551 | + | 0.474515i | ||||
\(574\) | 6.24458e6 | − | 6.97763e6i | 0.791085 | − | 0.883951i | ||||
\(575\) | 4.20046e6 | 0.529818 | ||||||||
\(576\) | 6.64614e6 | + | 3.23584e6i | 0.834667 | + | 0.406378i | ||||
\(577\) | 5.52255e6 | 0.690558 | 0.345279 | − | 0.938500i | \(-0.387784\pi\) | ||||
0.345279 | + | 0.938500i | \(0.387784\pi\) | |||||||
\(578\) | 2.54807e6 | − | 2.84718e6i | 0.317242 | − | 0.354484i | ||||
\(579\) | 347241. | + | 838313.i | 0.0430461 | + | 0.103923i | ||||
\(580\) | 4.12992e6 | − | 459346.i | 0.509767 | − | 0.0566983i | ||||
\(581\) | −9.06180e6 | − | 3.75352e6i | −1.11372 | − | 0.461316i | ||||
\(582\) | −2.31573e6 | − | 812168.i | −0.283387 | − | 0.0993890i | ||||
\(583\) | −1.73251e6 | − | 1.73251e6i | −0.211108 | − | 0.211108i | ||||
\(584\) | 1.94358e6 | − | 325937.i | 0.235815 | − | 0.0395459i | ||||
\(585\) | 277899. | − | 277899.i | 0.0335736 | − | 0.0335736i | ||||
\(586\) | −43521.8 | + | 20920.6i | −0.00523556 | + | 0.00251670i | ||||
\(587\) | −3.97952e6 | + | 9.60741e6i | −0.476689 | + | 1.15083i | 0.484463 | + | 0.874812i | \(0.339015\pi\) |
−0.961152 | + | 0.276018i | \(0.910985\pi\) | |||||||
\(588\) | −419888. | − | 762305.i | −0.0500830 | − | 0.0909254i | ||||
\(589\) | 2.15639e6 | − | 893206.i | 0.256118 | − | 0.106087i | ||||
\(590\) | 6.77031e6 | − | 375353.i | 0.800716 | − | 0.0443925i | ||||
\(591\) | 844458.i | 0.0994511i | ||||||||
\(592\) | −5.64232e6 | − | 975292.i | −0.661688 | − | 0.114375i | ||||
\(593\) | 3.61973e6i | 0.422707i | 0.977410 | + | 0.211353i | \(0.0677871\pi\) | ||||
−0.977410 | + | 0.211353i | \(0.932213\pi\) | |||||||
\(594\) | 291364. | + | 5.25538e6i | 0.0338820 | + | 0.611137i | ||||
\(595\) | 4.74837e6 | − | 1.96684e6i | 0.549860 | − | 0.227759i | ||||
\(596\) | −1.32565e7 | − | 3.83969e6i | −1.52867 | − | 0.442773i | ||||
\(597\) | 1.22119e6 | − | 2.94822e6i | 0.140232 | − | 0.338550i | ||||
\(598\) | 269698. | + | 561060.i | 0.0308407 | + | 0.0641589i | ||||
\(599\) | 72804.9 | − | 72804.9i | 0.00829075 | − | 0.00829075i | −0.702949 | − | 0.711240i | \(-0.748134\pi\) |
0.711240 | + | 0.702949i | \(0.248134\pi\) | |||||||
\(600\) | 1.21676e6 | − | 760901.i | 0.137983 | − | 0.0862879i | ||||
\(601\) | −1.01470e7 | − | 1.01470e7i | −1.14591 | − | 1.14591i | −0.987349 | − | 0.158562i | \(-0.949314\pi\) |
−0.158562 | − | 0.987349i | \(-0.550686\pi\) | |||||||
\(602\) | −2.42607e6 | + | 6.91742e6i | −0.272842 | + | 0.777952i | ||||
\(603\) | 2.73783e6 | + | 1.13404e6i | 0.306629 | + | 0.127010i | ||||
\(604\) | 2.68232e6 | + | 2.14536e6i | 0.299170 | + | 0.239281i | ||||
\(605\) | 875649. | + | 2.11400e6i | 0.0972617 | + | 0.234810i | ||||
\(606\) | −1.41743e6 | − | 1.26852e6i | −0.156790 | − | 0.140318i | ||||
\(607\) | 8.64415e6 | 0.952249 | 0.476125 | − | 0.879378i | \(-0.342041\pi\) | ||||
0.476125 | + | 0.879378i | \(0.342041\pi\) | |||||||
\(608\) | −1.04831e6 | + | 9.01402e6i | −0.115009 | + | 0.988916i | ||||
\(609\) | −1.57038e6 | −0.171578 | ||||||||
\(610\) | 6.57429e6 | + | 5.88361e6i | 0.715359 | + | 0.640205i | ||||
\(611\) | −240851. | − | 581467.i | −0.0261003 | − | 0.0630118i | ||||
\(612\) | −6.52669e6 | + | 8.16023e6i | −0.704392 | + | 0.880691i | ||||
\(613\) | −5.44665e6 | − | 2.25607e6i | −0.585434 | − | 0.242495i | 0.0702509 | − | 0.997529i | \(-0.477620\pi\) |
−0.655685 | + | 0.755035i | \(0.727620\pi\) | |||||||
\(614\) | −2.26491e6 | + | 6.45791e6i | −0.242454 | + | 0.691308i | ||||
\(615\) | −1.68545e6 | − | 1.68545e6i | −0.179692 | − | 0.179692i | ||||
\(616\) | −8.51420e6 | − | 1.96255e6i | −0.904049 | − | 0.208386i | ||||
\(617\) | 6.13515e6 | − | 6.13515e6i | 0.648802 | − | 0.648802i | −0.303901 | − | 0.952704i | \(-0.598289\pi\) |
0.952704 | + | 0.303901i | \(0.0982893\pi\) | |||||||
\(618\) | 1.01583e6 | + | 2.11326e6i | 0.106991 | + | 0.222577i | ||||
\(619\) | −3.67045e6 | + | 8.86124e6i | −0.385028 | + | 0.929540i | 0.605949 | + | 0.795504i | \(0.292794\pi\) |
−0.990976 | + | 0.134036i | \(0.957206\pi\) | |||||||
\(620\) | 464280. | − | 1.60292e6i | 0.0485066 | − | 0.167469i | ||||
\(621\) | −3.99432e6 | + | 1.65450e6i | −0.415637 | + | 0.172162i | ||||
\(622\) | 403278. | + | 7.27401e6i | 0.0417955 | + | 0.753872i | ||||
\(623\) | 9.36544e6i | 0.966737i | ||||||||
\(624\) | 179759. | + | 113669.i | 0.0184811 | + | 0.0116864i | ||||
\(625\) | − | 219580.i | − | 0.0224849i | ||||||
\(626\) | 1823.09 | − | 101.074i | 0.000185940 | − | 1.03087e-5i | ||||
\(627\) | −2.87397e6 | + | 1.19044e6i | −0.291953 | + | 0.120931i | ||||
\(628\) | −1.09489e7 | + | 6.03082e6i | −1.10783 | + | 0.610208i | ||||
\(629\) | 3.09751e6 | − | 7.47806e6i | 0.312167 | − | 0.753637i | ||||
\(630\) | −4.08369e6 | + | 1.96300e6i | −0.409922 | + | 0.197047i | ||||
\(631\) | −8.87683e6 | + | 8.87683e6i | −0.887533 | + | 0.887533i | −0.994286 | − | 0.106753i | \(-0.965955\pi\) |
0.106753 | + | 0.994286i | \(0.465955\pi\) | |||||||
\(632\) | 4.50527e6 | − | 6.32078e6i | 0.448671 | − | 0.629475i | ||||
\(633\) | −263056. | − | 263056.i | −0.0260939 | − | 0.0260939i | ||||
\(634\) | 1.62287e7 | + | 5.69169e6i | 1.60347 | + | 0.562365i | ||||
\(635\) | −6.03288e6 | − | 2.49890e6i | −0.593731 | − | 0.245932i | ||||
\(636\) | −76007.5 | − | 683374.i | −0.00745099 | − | 0.0669909i | ||||
\(637\) | 124135. | + | 299688.i | 0.0121212 | + | 0.0292631i | ||||
\(638\) | 6.65945e6 | − | 7.44120e6i | 0.647719 | − | 0.723755i | ||||
\(639\) | −1.76813e7 | −1.71302 | ||||||||
\(640\) | 4.56488e6 | + | 4.61084e6i | 0.440534 | + | 0.444969i | ||||
\(641\) | 6.34454e6 | 0.609895 | 0.304947 | − | 0.952369i | \(-0.401361\pi\) | ||||
0.304947 | + | 0.952369i | \(0.401361\pi\) | |||||||
\(642\) | 818580. | − | 914673.i | 0.0783833 | − | 0.0875847i | ||||
\(643\) | −1.57294e6 | − | 3.79741e6i | −0.150032 | − | 0.362210i | 0.830939 | − | 0.556364i | \(-0.187804\pi\) |
−0.980971 | + | 0.194154i | \(0.937804\pi\) | |||||||
\(644\) | −793359. | − | 7.13299e6i | −0.0753798 | − | 0.677731i | ||||
\(645\) | 1.72396e6 | + | 714087.i | 0.163165 | + | 0.0675852i | ||||
\(646\) | −1.21051e7 | − | 4.24548e6i | −1.14127 | − | 0.400263i | ||||
\(647\) | −8.64716e6 | − | 8.64716e6i | −0.812106 | − | 0.812106i | 0.172844 | − | 0.984949i | \(-0.444704\pi\) |
−0.984949 | + | 0.172844i | \(0.944704\pi\) | |||||||
\(648\) | 4.90219e6 | − | 6.87766e6i | 0.458619 | − | 0.643432i | ||||
\(649\) | 1.15223e7 | − | 1.15223e7i | 1.07381 | − | 1.07381i | ||||
\(650\) | −482086. | + | 231735.i | −0.0447549 | + | 0.0215134i | ||||
\(651\) | −241345. | + | 582659.i | −0.0223196 | + | 0.0538843i | ||||
\(652\) | −1.58440e7 | + | 8.72712e6i | −1.45964 | + | 0.803992i | ||||
\(653\) | −1.53905e7 | + | 6.37497e6i | −1.41244 | + | 0.585053i | −0.952950 | − | 0.303129i | \(-0.901969\pi\) |
−0.459493 | + | 0.888182i | \(0.651969\pi\) | |||||||
\(654\) | 4.65628e6 | − | 258149.i | 0.425691 | − | 0.0236007i | ||||
\(655\) | − | 1.51535e6i | − | 0.138009i | ||||||
\(656\) | −8.93078e6 | + | 1.41234e7i | −0.810270 | + | 1.28138i | ||||
\(657\) | − | 2.45592e6i | − | 0.221973i | ||||||
\(658\) | 401666. | + | 7.24493e6i | 0.0361660 | + | 0.652333i | ||||
\(659\) | 1.64381e7 | − | 6.80889e6i | 1.47448 | − | 0.610749i | 0.506603 | − | 0.862180i | \(-0.330901\pi\) |
0.967875 | + | 0.251431i | \(0.0809011\pi\) | |||||||
\(660\) | −618778. | + | 2.13633e6i | −0.0552936 | + | 0.190901i | ||||
\(661\) | 1.45786e6 | − | 3.51959e6i | 0.129781 | − | 0.313320i | −0.845610 | − | 0.533802i | \(-0.820763\pi\) |
0.975391 | + | 0.220482i | \(0.0707629\pi\) | |||||||
\(662\) | 4.33617e6 | + | 9.02066e6i | 0.384558 | + | 0.800006i | ||||
\(663\) | −212588. | + | 212588.i | −0.0187826 | + | 0.0187826i | ||||
\(664\) | 1.70562e7 | + | 3.93151e6i | 1.50128 | + | 0.346050i | ||||
\(665\) | −3.93325e6 | − | 3.93325e6i | −0.344903 | − | 0.344903i | ||||
\(666\) | −2.36160e6 | + | 6.73360e6i | −0.206310 | + | 0.588250i | ||||
\(667\) | 7.57814e6 | + | 3.13897e6i | 0.659550 | + | 0.273195i | ||||
\(668\) | 5.15413e6 | − | 6.44413e6i | 0.446904 | − | 0.558757i | ||||
\(669\) | 840363. | + | 2.02882e6i | 0.0725942 | + | 0.175258i | ||||
\(670\) | 1.93825e6 | + | 1.73463e6i | 0.166811 | + | 0.149286i | ||||
\(671\) | 2.12019e7 | 1.81790 | ||||||||
\(672\) | −1.52194e6 | − | 1.92252e6i | −0.130009 | − | 0.164228i | ||||
\(673\) | −982227. | −0.0835938 | −0.0417969 | − | 0.999126i | \(-0.513308\pi\) | ||||
−0.0417969 | + | 0.999126i | \(0.513308\pi\) | |||||||
\(674\) | 7.90621e6 | + | 7.07560e6i | 0.670376 | + | 0.599948i | ||||
\(675\) | −1.42161e6 | − | 3.43208e6i | −0.120094 | − | 0.289933i | ||||
\(676\) | 9.21672e6 | + | 7.37169e6i | 0.775728 | + | 0.620441i | ||||
\(677\) | 1.19116e7 | + | 4.93396e6i | 0.998848 | + | 0.413736i | 0.821375 | − | 0.570389i | \(-0.193208\pi\) |
0.177473 | + | 0.984126i | \(0.443208\pi\) | |||||||
\(678\) | 1.83138e6 | − | 5.22178e6i | 0.153004 | − | 0.436259i | ||||
\(679\) | −7.45661e6 | − | 7.45661e6i | −0.620679 | − | 0.620679i | ||||
\(680\) | −7.77642e6 | + | 4.86299e6i | −0.644922 | + | 0.403303i | ||||
\(681\) | 1.03886e6 | − | 1.03886e6i | 0.0858401 | − | 0.0858401i | ||||
\(682\) | −1.73745e6 | − | 3.61447e6i | −0.143038 | − | 0.297567i | ||||
\(683\) | −4.01198e6 | + | 9.68577e6i | −0.329084 | + | 0.794479i | 0.669577 | + | 0.742743i | \(0.266475\pi\) |
−0.998661 | + | 0.0517361i | \(0.983525\pi\) | |||||||
\(684\) | 1.08625e7 | + | 3.14627e6i | 0.887747 | + | 0.257132i | ||||
\(685\) | −9.70753e6 | + | 4.02099e6i | −0.790465 | + | 0.327421i | ||||
\(686\) | −740883. | − | 1.33634e7i | −0.0601090 | − | 1.08420i | ||||
\(687\) | 2.33357e6i | 0.188638i | ||||||||
\(688\) | 2.22814e6 | − | 1.28904e7i | 0.179462 | − | 1.03823i | ||||
\(689\) | 256281.i | 0.0205668i | ||||||||
\(690\) | −1.82411e6 | + | 101131.i | −0.145858 | + | 0.00808649i | ||||
\(691\) | 1.28695e7 | − | 5.33072e6i | 1.02534 | − | 0.424709i | 0.194310 | − | 0.980940i | \(-0.437753\pi\) |
0.831027 | + | 0.556232i | \(0.187753\pi\) | |||||||
\(692\) | −2.47613e6 | − | 4.49540e6i | −0.196566 | − | 0.356864i | ||||
\(693\) | −4.16689e6 | + | 1.00598e7i | −0.329594 | + | 0.795710i | ||||
\(694\) | −752948. | + | 361937.i | −0.0593426 | + | 0.0285256i | ||||
\(695\) | 7.56315e6 | − | 7.56315e6i | 0.593937 | − | 0.593937i | ||||
\(696\) | 2.76379e6 | − | 463485.i | 0.216263 | − | 0.0362671i | ||||
\(697\) | −1.67027e7 | − | 1.67027e7i | −1.30228 | − | 1.30228i | ||||
\(698\) | −1.80016e7 | − | 6.31350e6i | −1.39853 | − | 0.490492i | ||||
\(699\) | −1.19856e6 | − | 496458.i | −0.0927823 | − | 0.0384317i | ||||
\(700\) | 6.12896e6 | − | 681686.i | 0.472761 | − | 0.0525823i | ||||
\(701\) | −1.14522e6 | − | 2.76480e6i | −0.0880225 | − | 0.212505i | 0.873738 | − | 0.486397i | \(-0.161689\pi\) |
−0.961761 | + | 0.273892i | \(0.911689\pi\) | |||||||
\(702\) | 367150. | − | 410250.i | 0.0281191 | − | 0.0314200i | ||||
\(703\) | −8.76014e6 | −0.668533 | ||||||||
\(704\) | 1.55638e7 | + | 941095.i | 1.18355 | + | 0.0715652i | ||||
\(705\) | 1.84705e6 | 0.139960 | ||||||||
\(706\) | −1.49350e6 | + | 1.66883e6i | −0.112770 | + | 0.126008i | ||||
\(707\) | −3.12800e6 | − | 7.55165e6i | −0.235352 | − | 0.568190i | ||||
\(708\) | 4.54488e6 | − | 505499.i | 0.340752 | − | 0.0378998i | ||||
\(709\) | 1.06749e7 | + | 4.42169e6i | 0.797532 | + | 0.330348i | 0.743967 | − | 0.668216i | \(-0.232942\pi\) |
0.0535643 | + | 0.998564i | \(0.482942\pi\) | |||||||
\(710\) | −1.46451e7 | − | 5.13629e6i | −1.09030 | − | 0.382388i | ||||
\(711\) | −6.83990e6 | − | 6.83990e6i | −0.507430 | − | 0.507430i | ||||
\(712\) | −2.76414e6 | − | 1.64828e7i | −0.204343 | − | 1.21851i | ||||
\(713\) | 2.32931e6 | − | 2.32931e6i | 0.171595 | − | 0.171595i | ||||
\(714\) | 3.12396e6 | − | 1.50167e6i | 0.229329 | − | 0.110237i | ||||
\(715\) | 317241. | − | 765886.i | 0.0232072 | − | 0.0560272i | ||||
\(716\) | 1.87835e6 | + | 3.41013e6i | 0.136928 | + | 0.248593i | ||||
\(717\) | −1.73447e6 | + | 718439.i | −0.125999 | + | 0.0521906i | ||||
\(718\) | −4.83293e6 | + | 267942.i | −0.349864 | + | 0.0193968i | ||||
\(719\) | − | 1.89332e7i | − | 1.36584i | −0.730492 | − | 0.682921i | \(-0.760709\pi\) | ||
0.730492 | − | 0.682921i | \(-0.239291\pi\) | |||||||
\(720\) | 6.60775e6 | − | 4.66007e6i | 0.475031 | − | 0.335013i | ||||
\(721\) | 1.00756e7i | 0.721827i | ||||||||
\(722\) | −6837.20 | − | 123324.i | −0.000488129 | − | 0.00880448i | ||||
\(723\) | −774544. | + | 320826.i | −0.0551062 | + | 0.0228257i | ||||
\(724\) | −2.14060e7 | − | 6.20016e6i | −1.51771 | − | 0.439599i | ||||
\(725\) | −2.69713e6 | + | 6.51144e6i | −0.190571 | + | 0.460079i | ||||
\(726\) | 668552. | + | 1.39081e6i | 0.0470753 | + | 0.0979321i | ||||
\(727\) | −1.76362e7 | + | 1.76362e7i | −1.23757 | + | 1.23757i | −0.276577 | + | 0.960992i | \(0.589200\pi\) |
−0.960992 | + | 0.276577i | \(0.910800\pi\) | |||||||
\(728\) | 484575. | + | 774883.i | 0.0338869 | + | 0.0541886i | ||||
\(729\) | −6.04042e6 | − | 6.04042e6i | −0.420968 | − | 0.420968i | ||||
\(730\) | 713427. | − | 2.03419e6i | 0.0495498 | − | 0.141281i | ||||
\(731\) | 1.70843e7 | + | 7.07655e6i | 1.18251 | + | 0.489811i | ||||
\(732\) | 4.64654e6 | + | 3.71638e6i | 0.320518 | + | 0.256356i | ||||
\(733\) | 4.13232e6 | + | 9.97629e6i | 0.284075 | + | 0.685819i | 0.999923 | − | 0.0124382i | \(-0.00395931\pi\) |
−0.715847 | + | 0.698257i | \(0.753959\pi\) | |||||||
\(734\) | −9.72405e6 | − | 8.70246e6i | −0.666204 | − | 0.596214i | ||||
\(735\) | −951968. | −0.0649986 | ||||||||
\(736\) | 3.50153e6 | + | 1.23196e7i | 0.238267 | + | 0.838305i | ||||
\(737\) | 6.25083e6 | 0.423905 | ||||||||
\(738\) | 1.55174e7 | + | 1.38872e7i | 1.04877 | + | 0.938586i | ||||
\(739\) | 4.46642e6 | + | 1.07829e7i | 0.300849 | + | 0.726313i | 0.999936 | + | 0.0112771i | \(0.00358970\pi\) |
−0.699088 | + | 0.715036i | \(0.746410\pi\) | |||||||
\(740\) | −3.91213e6 | + | 4.89128e6i | −0.262624 | + | 0.328355i | ||||
\(741\) | 300613. | + | 124518.i | 0.0201123 | + | 0.00833079i | ||||
\(742\) | 977856. | − | 2.78815e6i | 0.0652027 | − | 0.185912i | ||||
\(743\) | −3.92656e6 | − | 3.92656e6i | −0.260939 | − | 0.260939i | 0.564496 | − | 0.825436i | \(-0.309070\pi\) |
−0.825436 | + | 0.564496i | \(0.809070\pi\) | |||||||
\(744\) | 252789. | − | 1.09669e6i | 0.0167427 | − | 0.0726357i | ||||
\(745\) | −1.06749e7 | + | 1.06749e7i | −0.704649 | + | 0.704649i | ||||
\(746\) | −1.09179e7 | − | 2.27128e7i | −0.718276 | − | 1.49425i | ||||
\(747\) | 8.34739e6 | − | 2.01524e7i | 0.547330 | − | 1.32137i | ||||
\(748\) | −6.13205e6 | + | 2.11709e7i | −0.400730 | + | 1.38352i | ||||
\(749\) | 4.87312e6 | − | 2.01851e6i | 0.317397 | − | 0.131470i | ||||
\(750\) | −229832. | − | 4.14552e6i | −0.0149196 | − | 0.269107i | ||||
\(751\) | − | 1.08196e6i | − | 0.0700020i | −0.999387 | − | 0.0350010i | \(-0.988857\pi\) | ||
0.999387 | − | 0.0350010i | \(-0.0111434\pi\) | |||||||
\(752\) | −2.84521e6 | − | 1.26322e7i | −0.183472 | − | 0.814582i | ||||
\(753\) | 2.47559e6i | 0.159108i | ||||||||
\(754\) | −1.04292e6 | + | 57820.3i | −0.0668068 | + | 0.00370384i | ||||
\(755\) | 3.47108e6 | − | 1.43777e6i | 0.221614 | − | 0.0917954i | ||||
\(756\) | −5.55967e6 | + | 3.06234e6i | −0.353789 | + | 0.194872i | ||||
\(757\) | −1.74843e6 | + | 4.22109e6i | −0.110894 | + | 0.267722i | −0.969578 | − | 0.244784i | \(-0.921283\pi\) |
0.858683 | + | 0.512506i | \(0.171283\pi\) | |||||||
\(758\) | −781523. | + | 375673.i | −0.0494048 | + | 0.0237485i | ||||
\(759\) | −3.10443e6 | + | 3.10443e6i | −0.195604 | + | 0.195604i | ||||
\(760\) | 8.08322e6 | + | 5.76148e6i | 0.507634 | + | 0.361826i | ||||
\(761\) | 2.02553e7 | + | 2.02553e7i | 1.26788 | + | 1.26788i | 0.947182 | + | 0.320695i | \(0.103917\pi\) |
0.320695 | + | 0.947182i | \(0.396083\pi\) | |||||||
\(762\) | −4.15561e6 | − | 1.45745e6i | −0.259267 | − | 0.0909299i | ||||
\(763\) | 1.85140e7 | + | 7.66873e6i | 1.15130 | + | 0.476883i | ||||
\(764\) | −3.42178e6 | − | 3.07648e7i | −0.212090 | − | 1.90687i | ||||
\(765\) | 4.37402e6 | + | 1.05598e7i | 0.270226 | + | 0.652383i | ||||
\(766\) | 1.31096e7 | − | 1.46485e7i | 0.807265 | − | 0.902030i | ||||
\(767\) | −1.70443e6 | −0.104614 | ||||||||
\(768\) | 3.24596e6 | + | 2.93436e6i | 0.198582 | + | 0.179519i | ||||
\(769\) | 1.60922e7 | 0.981292 | 0.490646 | − | 0.871359i | \(-0.336761\pi\) | ||||
0.490646 | + | 0.871359i | \(0.336761\pi\) | |||||||
\(770\) | −6.37365e6 | + | 7.12185e6i | −0.387401 | + | 0.432879i | ||||
\(771\) | 489084. | + | 1.18075e6i | 0.0296311 | + | 0.0715357i | ||||
\(772\) | −769170. | − | 6.91551e6i | −0.0464493 | − | 0.417620i | ||||
\(773\) | 7.09213e6 | + | 2.93766e6i | 0.426902 | + | 0.176828i | 0.585781 | − | 0.810470i | \(-0.300788\pi\) |
−0.158879 | + | 0.987298i | \(0.550788\pi\) | |||||||
\(774\) | −1.53835e7 | − | 5.39529e6i | −0.923004 | − | 0.323714i | ||||
\(775\) | 2.00144e6 | + | 2.00144e6i | 0.119698 | + | 0.119698i | ||||
\(776\) | 1.53241e7 | + | 1.09225e7i | 0.913524 | + | 0.651132i | ||||
\(777\) | 1.67372e6 | − | 1.67372e6i | 0.0994559 | − | 0.0994559i | ||||
\(778\) | 1.44345e7 | − | 6.93855e6i | 0.854972 | − | 0.410979i | ||||
\(779\) | −9.78318e6 | + | 2.36187e7i | −0.577612 | + | 1.39448i | ||||
\(780\) | 203774. | − | 112241.i | 0.0119926 | − | 0.00660567i | ||||
\(781\) | −3.44569e7 | + | 1.42725e7i | −2.02138 | + | 0.837284i | ||||
\(782\) | −1.80768e7 | + | 1.00220e6i | −1.05707 | + | 0.0586053i | ||||
\(783\) | − | 7.25425e6i | − | 0.422852i | ||||||
\(784\) | 1.46642e6 | + | 6.51065e6i | 0.0852056 | + | 0.378298i | ||||
\(785\) | 1.36731e7i | 0.791938i | ||||||||
\(786\) | −56570.9 | − | 1.02038e6i | −0.00326616 | − | 0.0589123i | ||||
\(787\) | −9.21890e6 | + | 3.81859e6i | −0.530569 | + | 0.219769i | −0.631853 | − | 0.775089i | \(-0.717705\pi\) |
0.101283 | + | 0.994858i | \(0.467705\pi\) | |||||||
\(788\) | 1.80158e6 | − | 6.21996e6i | 0.103357 | − | 0.356839i | ||||
\(789\) | −2.71421e6 | + | 6.55268e6i | −0.155221 | + | 0.374737i | ||||
\(790\) | −3.67841e6 | − | 7.65230e6i | −0.209697 | − | 0.436239i | ||||
\(791\) | 1.68141e7 | − | 1.68141e7i | 0.955502 | − | 0.955502i | ||||
\(792\) | 4.36448e6 | − | 1.89346e7i | 0.247240 | − | 1.07261i | ||||
\(793\) | −1.56814e6 | − | 1.56814e6i | −0.0885528 | − | 0.0885528i | ||||
\(794\) | −8.44319e6 | + | 2.40740e7i | −0.475286 | + | 1.35518i | ||||
\(795\) | −694863. | − | 287822.i | −0.0389925 | − | 0.0161512i | ||||
\(796\) | −1.52846e7 | + | 1.91101e7i | −0.855011 | + | 1.06901i | ||||
\(797\) | −2.15914e6 | − | 5.21263e6i | −0.120403 | − | 0.290677i | 0.852175 | − | 0.523257i | \(-0.175283\pi\) |
−0.972577 | + | 0.232580i | \(0.925283\pi\) | |||||||
\(798\) | −2.79535e6 | − | 2.50168e6i | −0.155392 | − | 0.139067i | ||||
\(799\) | 1.83041e7 | 1.01433 | ||||||||
\(800\) | −1.05855e7 | + | 3.00865e6i | −0.584772 | + | 0.166206i | ||||
\(801\) | −2.08276e7 | −1.14699 | ||||||||
\(802\) | 9.86050e6 | + | 8.82458e6i | 0.541331 | + | 0.484460i | ||||
\(803\) | −1.98244e6 | − | 4.78603e6i | −0.108495 | − | 0.261931i | ||||
\(804\) | 1.36991e6 | + | 1.09568e6i | 0.0747398 | + | 0.0597782i | ||||
\(805\) | −7.25291e6 | − | 3.00425e6i | −0.394478 | − | 0.163398i | ||||
\(806\) | −138829. | + | 395841.i | −0.00752734 | + | 0.0214626i | ||||
\(807\) | −2.99569e6 | − | 2.99569e6i | −0.161925 | − | 0.161925i | ||||
\(808\) | 7.73395e6 | + | 1.23674e7i | 0.416748 | + | 0.666421i | ||||
\(809\) | −3.02974e6 | + | 3.02974e6i | −0.162755 | + | 0.162755i | −0.783786 | − | 0.621031i | \(-0.786714\pi\) |
0.621031 | + | 0.783786i | \(0.286714\pi\) | |||||||
\(810\) | −4.00249e6 | − | 8.32648e6i | −0.214347 | − | 0.445912i | ||||
\(811\) | 7.73917e6 | − | 1.86840e7i | 0.413183 | − | 0.997511i | −0.571095 | − | 0.820884i | \(-0.693481\pi\) |
0.984278 | − | 0.176627i | \(-0.0565188\pi\) | |||||||
\(812\) | 1.15668e7 | + | 3.35027e6i | 0.615635 | + | 0.178316i | ||||
\(813\) | 9.06474e6 | − | 3.75474e6i | 0.480982 | − | 0.199229i | ||||
\(814\) | 833201. | + | 1.50286e7i | 0.0440746 | + | 0.794982i | ||||
\(815\) | 1.97861e7i | 1.04344i | ||||||||
\(816\) | −5.05482e6 | + | 3.56488e6i | −0.265754 | + | 0.187421i | ||||
\(817\) | − | 2.00133e7i | − | 1.04897i | ||||||
\(818\) | −2.95454e7 | + | 1.63802e6i | −1.54385 | + | 0.0855928i | ||||
\(819\) | 1.05224e6 | − | 435850.i | 0.0548155 | − | 0.0227053i | ||||
\(820\) | 8.81864e6 | + | 1.60102e7i | 0.458002 | + | 0.831500i | ||||
\(821\) | −1.50918e6 | + | 3.64349e6i | −0.0781419 | + | 0.188651i | −0.958123 | − | 0.286358i | \(-0.907555\pi\) |
0.879981 | + | 0.475009i | \(0.157555\pi\) | |||||||
\(822\) | −6.38660e6 | + | 3.07000e6i | −0.329678 | + | 0.158474i | ||||
\(823\) | −7.92811e6 | + | 7.92811e6i | −0.408009 | + | 0.408009i | −0.881044 | − | 0.473034i | \(-0.843159\pi\) |
0.473034 | + | 0.881044i | \(0.343159\pi\) | |||||||
\(824\) | −2.97374e6 | − | 1.77326e7i | −0.152576 | − | 0.909819i | ||||
\(825\) | −2.66745e6 | − | 2.66745e6i | −0.136446 | − | 0.136446i | ||||
\(826\) | 1.85430e7 | + | 6.50337e6i | 0.945649 | + | 0.331657i | ||||
\(827\) | −3.58369e7 | − | 1.48441e7i | −1.82208 | − | 0.754729i | −0.974621 | − | 0.223862i | \(-0.928134\pi\) |
−0.847455 | − | 0.530867i | \(-0.821866\pi\) | |||||||
\(828\) | 1.58629e7 | − | 1.76434e6i | 0.804096 | − | 0.0894346i | ||||
\(829\) | 3.95892e6 | + | 9.55768e6i | 0.200074 | + | 0.483021i | 0.991791 | − | 0.127866i | \(-0.0408128\pi\) |
−0.791717 | + | 0.610887i | \(0.790813\pi\) | |||||||
\(830\) | 1.27681e7 | − | 1.42670e7i | 0.643326 | − | 0.718846i | ||||
\(831\) | −7.55566e6 | −0.379551 | ||||||||
\(832\) | −1.08153e6 | − | 1.22074e6i | −0.0541665 | − | 0.0611386i | ||||
\(833\) | −9.43393e6 | −0.471064 | ||||||||
\(834\) | 4.81041e6 | − | 5.37511e6i | 0.239479 | − | 0.267591i | ||||
\(835\) | −3.45416e6 | − | 8.33908e6i | −0.171446 | − | 0.413906i | ||||
\(836\) | 2.37083e7 | − | 2.63693e6i | 1.17323 | − | 0.130492i | ||||
\(837\) | −2.69156e6 | − | 1.11488e6i | −0.132797 | − | 0.0550065i | ||||
\(838\) | −2.45078e6 | − | 859535.i | −0.120558 | − | 0.0422818i | ||||
\(839\) | 6.20481e6 | + | 6.20481e6i | 0.304315 | + | 0.304315i | 0.842700 | − | 0.538384i | \(-0.180965\pi\) |
−0.538384 | + | 0.842700i | \(0.680965\pi\) | |||||||
\(840\) | −2.64518e6 | + | 443594.i | −0.129347 | + | 0.0216914i | ||||
\(841\) | 4.77168e6 | − | 4.77168e6i | 0.232638 | − | 0.232638i | ||||
\(842\) | 617663. | − | 296907.i | 0.0300242 | − | 0.0144324i | ||||
\(843\) | 281832. | − | 680402.i | 0.0136591 | − | 0.0329759i | ||||
\(844\) | 1.37636e6 | + | 2.49878e6i | 0.0665083 | + | 0.120746i | ||||
\(845\) | 1.19270e7 | − | 4.94031e6i | 0.574630 | − | 0.238020i | ||||
\(846\) | −1.61119e7 | + | 893259.i | −0.773963 | + | 0.0429093i | ||||
\(847\) | 6.63111e6i | 0.317598i | ||||||||
\(848\) | −898081. | + | 5.19563e6i | −0.0428870 | + | 0.248113i | ||||
\(849\) | − | 192621.i | − | 0.00917140i | ||||||
\(850\) | −861129. | − | 1.55323e7i | −0.0408810 | − | 0.737377i | ||||
\(851\) | −1.14224e7 | + | 4.73131e6i | −0.540671 | + | 0.223953i | ||||
\(852\) | −1.00532e7 | − | 2.91187e6i | −0.474467 | − | 0.137427i | ||||
\(853\) | 1.38535e7 | − | 3.34454e7i | 0.651911 | − | 1.57385i | −0.158090 | − | 0.987425i | \(-0.550534\pi\) |
0.810001 | − | 0.586428i | \(-0.199466\pi\) | |||||||
\(854\) | 1.10769e7 | + | 2.30436e7i | 0.519726 | + | 1.08120i | ||||
\(855\) | 8.74709e6 | − | 8.74709e6i | 0.409212 | − | 0.409212i | ||||
\(856\) | −7.98073e6 | + | 4.99076e6i | −0.372270 | + | 0.232800i | ||||
\(857\) | 1.10274e7 | + | 1.10274e7i | 0.512888 | + | 0.512888i | 0.915410 | − | 0.402522i | \(-0.131866\pi\) |
−0.402522 | + | 0.915410i | \(0.631866\pi\) | |||||||
\(858\) | 185026. | − | 527564.i | 0.00858056 | − | 0.0244657i | ||||
\(859\) | 1.58083e7 | + | 6.54800e6i | 0.730973 | + | 0.302779i | 0.716952 | − | 0.697123i | \(-0.245537\pi\) |
0.0140215 | + | 0.999902i | \(0.495537\pi\) | |||||||
\(860\) | −1.11746e7 | − | 8.93762e6i | −0.515211 | − | 0.412074i | ||||
\(861\) | −2.64343e6 | − | 6.38179e6i | −0.121523 | − | 0.293383i | ||||
\(862\) | 2.04996e7 | + | 1.83459e7i | 0.939672 | + | 0.840953i | ||||
\(863\) | −4.03178e6 | −0.184276 | −0.0921382 | − | 0.995746i | \(-0.529370\pi\) | ||||
−0.0921382 | + | 0.995746i | \(0.529370\pi\) | |||||||
\(864\) | 8.88095e6 | − | 7.03048e6i | 0.404739 | − | 0.320406i | ||||
\(865\) | −5.61387e6 | −0.255107 | ||||||||
\(866\) | −1.08725e7 | − | 9.73026e6i | −0.492646 | − | 0.440889i | ||||
\(867\) | −1.07864e6 | − | 2.60406e6i | −0.0487334 | − | 0.117653i | ||||
\(868\) | 3.02071e6 | − | 3.77676e6i | 0.136085 | − | 0.170145i | ||||
\(869\) | −1.88507e7 | − | 7.80821e6i | −0.846794 | − | 0.350754i | ||||
\(870\) | 1.01450e6 | − | 2.89263e6i | 0.0454416 | − | 0.129567i | ||||
\(871\) | −462325. | − | 462325.i | −0.0206491 | − | 0.0206491i | ||||
\(872\) | −3.48471e7 | − | 8.03237e6i | −1.55194 | − | 0.357728i | ||||
\(873\) | 1.65826e7 | − | 1.65826e7i | 0.736407 | − | 0.736407i | ||||
\(874\) | 8.48895e6 | + | 1.76598e7i | 0.375903 | + | 0.782001i | ||||
\(875\) | 6.82753e6 | − | 1.64831e7i | 0.301470 | − | 0.727812i | ||||
\(876\) | 404456. | − | 1.39638e6i | 0.0178078 | − | 0.0614815i | ||||
\(877\) | 1.94778e7 | − | 8.06799e6i | 0.855149 | − | 0.354214i | 0.0883408 | − | 0.996090i | \(-0.471844\pi\) |
0.766809 | + | 0.641876i | \(0.221844\pi\) | |||||||
\(878\) | 1.38767e6 | + | 2.50297e7i | 0.0607506 | + | 1.09577i | ||||
\(879\) | 35622.1i | 0.00155506i | ||||||||
\(880\) | 9.11537e6 | − | 1.44153e7i | 0.396796 | − | 0.627504i | ||||
\(881\) | 1.24196e7i | 0.539097i | 0.962987 | + | 0.269549i | \(0.0868745\pi\) | ||||
−0.962987 | + | 0.269549i | \(0.913126\pi\) | |||||||
\(882\) | 8.30407e6 | − | 460386.i | 0.359434 | − | 0.0199274i | ||||
\(883\) | 9.96392e6 | − | 4.12719e6i | 0.430059 | − | 0.178136i | −0.157144 | − | 0.987576i | \(-0.550229\pi\) |
0.587204 | + | 0.809439i | \(0.300229\pi\) | |||||||
\(884\) | 2.01939e6 | − | 1.11231e6i | 0.0869138 | − | 0.0478733i | ||||
\(885\) | 1.91420e6 | − | 4.62128e6i | 0.0821540 | − | 0.198337i | ||||
\(886\) | 3.05444e7 | − | 1.46825e7i | 1.30721 | − | 0.628369i | ||||
\(887\) | 2.04689e7 | − | 2.04689e7i | 0.873544 | − | 0.873544i | −0.119313 | − | 0.992857i | \(-0.538069\pi\) |
0.992857 | + | 0.119313i | \(0.0380692\pi\) | |||||||
\(888\) | −2.45169e6 | + | 3.43966e6i | −0.104336 | + | 0.146381i | ||||
\(889\) | −1.33810e7 | − | 1.33810e7i | −0.567852 | − | 0.567852i | ||||
\(890\) | −1.72511e7 | − | 6.05029e6i | −0.730033 | − | 0.256036i | ||||
\(891\) | −2.05115e7 | − | 8.49613e6i | −0.865571 | − | 0.358531i | ||||
\(892\) | −1.86148e6 | − | 1.67363e7i | −0.0783333 | − | 0.704285i | ||||
\(893\) | −7.58098e6 | − | 1.83021e7i | −0.318124 | − | 0.768020i | ||||
\(894\) | −6.78958e6 | + | 7.58661e6i | −0.284118 | + | 0.317471i | ||||
\(895\) | 4.25857e6 | 0.177708 | ||||||||
\(896\) | 7.10847e6 | + | 1.74075e7i | 0.295805 | + | 0.724379i | ||||
\(897\) | 459222. | 0.0190564 | ||||||||
\(898\) | 2.41097e7 | − | 2.69399e7i | 0.997700 | − | 1.11482i | ||||
\(899\) | 2.11518e6 | + | 5.10650e6i | 0.0872867 | + | 0.210729i | ||||
\(900\) | 1.51599e6 | + | 1.36301e7i | 0.0623864 | + | 0.560908i | ||||
\(901\) | −6.88604e6 | − | 2.85229e6i | −0.282591 | − | 0.117053i | ||||
\(902\) | 4.14499e7 | + | 1.45372e7i | 1.69632 | + | 0.594930i | ||||
\(903\) | 3.82377e6 | + | 3.82377e6i | 0.156053 | + | 0.156053i | ||||
\(904\) | −2.46295e7 | + | 3.45546e7i | −1.00238 | + | 1.40632i | ||||
\(905\) | −1.72373e7 | + | 1.72373e7i | −0.699598 | + | 0.699598i | ||||
\(906\) | 2.28363e6 | − | 1.09772e6i | 0.0924282 | − | 0.0444296i | ||||
\(907\) | −1.67142e7 | + | 4.03516e7i | −0.674632 | + | 1.62871i | 0.0990121 | + | 0.995086i | \(0.468432\pi\) |
−0.773644 | + | 0.633620i | \(0.781568\pi\) | |||||||
\(908\) | −9.86819e6 | + | 5.43554e6i | −0.397213 | + | 0.218790i | ||||
\(909\) | 1.67940e7 | − | 6.95630e6i | 0.674131 | − | 0.279234i | ||||
\(910\) | 998157. | − | 55338.8i | 0.0399572 | − | 0.00221527i | ||||
\(911\) | − | 1.90730e7i | − | 0.761418i | −0.924695 | − | 0.380709i | \(-0.875680\pi\) | ||
0.924695 | − | 0.380709i | \(-0.124320\pi\) | |||||||
\(912\) | 5.65804e6 | + | 3.57781e6i | 0.225257 | + | 0.142440i | ||||
\(913\) | − | 4.60106e7i | − | 1.82676i | ||||||
\(914\) | −391593. | − | 7.06324e6i | −0.0155049 | − | 0.279665i | ||||
\(915\) | 6.01290e6 | − | 2.49062e6i | 0.237428 | − | 0.0983457i | ||||
\(916\) | 4.97849e6 | − | 1.71882e7i | 0.196047 | − | 0.676850i | ||||
\(917\) | 1.68053e6 | − | 4.05716e6i | 0.0659969 | − | 0.159331i | ||||
\(918\) | 6.93685e6 | + | 1.44309e7i | 0.271679 | + | 0.565180i | ||||
\(919\) | −2.60724e7 | + | 2.60724e7i | −1.01834 | + | 1.01834i | −0.0185098 | + | 0.999829i | \(0.505892\pi\) |
−0.999829 | + | 0.0185098i | \(0.994108\pi\) | |||||||
\(920\) | 1.36515e7 | + | 3.14671e6i | 0.531753 | + | 0.122571i | ||||
\(921\) | 3.56977e6 | + | 3.56977e6i | 0.138673 | + | 0.138673i | ||||
\(922\) | −5.34001e6 | + | 1.52259e7i | −0.206878 | + | 0.589870i | ||||
\(923\) | 3.60414e6 | + | 1.49288e6i | 0.139251 | + | 0.0576795i | ||||
\(924\) | −4.02592e6 | + | 5.03354e6i | −0.155126 | + | 0.193952i | ||||
\(925\) | −4.06533e6 | − | 9.81457e6i | −0.156222 | − | 0.377153i | ||||
\(926\) | 8.99973e6 | + | 8.05424e6i | 0.344907 | + | 0.308672i | ||||
\(927\) | −2.24070e7 | −0.856414 | ||||||||
\(928\) | −2.13459e7 | − | 2.48247e6i | −0.813662 | − | 0.0946269i | ||||
\(929\) | 2.17177e7 | 0.825609 | 0.412804 | − | 0.910820i | \(-0.364549\pi\) | ||||
0.412804 | + | 0.910820i | \(0.364549\pi\) | |||||||
\(930\) | −917342. | − | 820968.i | −0.0347796 | − | 0.0311257i | ||||
\(931\) | 3.90724e6 | + | 9.43291e6i | 0.147739 | + | 0.356674i | ||||
\(932\) | 7.76895e6 | + | 6.21374e6i | 0.292970 | + | 0.234322i | ||||
\(933\) | 4.96510e6 | + | 2.05661e6i | 0.186734 | + | 0.0773478i | ||||
\(934\) | 1.05789e7 | − | 3.01636e7i | 0.396803 | − | 1.13140i | ||||
\(935\) | 1.70480e7 | + | 1.70480e7i | 0.637740 | + | 0.637740i | ||||
\(936\) | −1.72325e6 | + | 1.07764e6i | −0.0642922 | + | 0.0402052i | ||||
\(937\) | −1.56850e7 | + | 1.56850e7i | −0.583626 | + | 0.583626i | −0.935898 | − | 0.352272i | \(-0.885409\pi\) |
0.352272 | + | 0.935898i | \(0.385409\pi\) | |||||||
\(938\) | 3.26574e6 | + | 6.79380e6i | 0.121192 | + | 0.252119i | ||||
\(939\) | 515.450 | − | 1244.41i | 1.90775e−5 | − | 4.60573e-5i | ||||
\(940\) | −1.36046e7 | − | 3.94052e6i | −0.502189 | − | 0.145457i | ||||
\(941\) | 9.86173e6 | − | 4.08486e6i | 0.363060 | − | 0.150385i | −0.193693 | − | 0.981062i | \(-0.562047\pi\) |
0.556754 | + | 0.830678i | \(0.312047\pi\) | |||||||
\(942\) | 510443. | + | 9.20695e6i | 0.0187422 | + | 0.338056i | ||||
\(943\) | 3.60803e7i | 1.32127i | ||||||||
\(944\) | −3.45543e7 | − | 5.97282e6i | −1.26204 | − | 0.218147i | ||||
\(945\) | 6.94293e6i | 0.252908i | ||||||||
\(946\) | −3.43342e7 | + | 1.90352e6i | −1.24738 | + | 0.0691560i | ||||
\(947\) | −3.47835e7 | + | 1.44078e7i | −1.26037 | + | 0.522063i | −0.910024 | − | 0.414556i | \(-0.863937\pi\) |
−0.350349 | + | 0.936619i | \(0.613937\pi\) | |||||||
\(948\) | −2.76259e6 | − | 5.01547e6i | −0.0998379 | − | 0.181255i | ||||
\(949\) | −207360. | + | 500611.i | −0.00747411 | + | 0.0180441i | ||||
\(950\) | −1.51740e7 | + | 7.29405e6i | −0.545496 | + | 0.262216i | ||||
\(951\) | 8.97078e6 | − | 8.97078e6i | 0.321647 | − | 0.321647i | ||||
\(952\) | −2.62136e7 | + | 4.39599e6i | −0.937419 | + | 0.157204i | ||||
\(953\) | 2.97233e7 | + | 2.97233e7i | 1.06015 | + | 1.06015i | 0.998072 | + | 0.0620737i | \(0.0197714\pi\) |
0.0620737 | + | 0.998072i | \(0.480229\pi\) | |||||||
\(954\) | 6.20052e6 | + | 2.17464e6i | 0.220575 | + | 0.0773599i | ||||
\(955\) | −3.12820e7 | − | 1.29574e7i | −1.10991 | − | 0.459739i | ||||
\(956\) | 1.43082e7 | − | 1.59141e6i | 0.506336 | − | 0.0563167i | ||||
\(957\) | −2.81905e6 | − | 6.80578e6i | −0.0994998 | − | 0.240214i | ||||
\(958\) | −2.35166e7 | + | 2.62772e7i | −0.827866 | + | 0.925050i | ||||
\(959\) | −3.04501e7 | −1.06916 | ||||||||
\(960\) | 4.52448e6 | − | 1.56141e6i | 0.158449 | − | 0.0546814i | ||||
\(961\) | −2.64094e7 | −0.922466 | ||||||||
\(962\) | 1.04992e6 | − | 1.17317e6i | 0.0365780 | − | 0.0408719i | ||||
\(963\) | 4.48893e6 | + | 1.08372e7i | 0.155983 | + | 0.376577i | ||||
\(964\) | 6.38945e6 | − | 710660.i | 0.221448 | − | 0.0246303i | ||||
\(965\) | −7.03177e6 | − | 2.91265e6i | −0.243078 | − | 0.100686i | ||||
\(966\) | −4.99601e6 | − | 1.75219e6i | −0.172258 | − | 0.0604142i | ||||
\(967\) | 3.99910e7 | + | 3.99910e7i | 1.37530 | + | 1.37530i | 0.852391 | + | 0.522904i | \(0.175152\pi\) |
0.522904 | + | 0.852391i | \(0.324848\pi\) | |||||||
\(968\) | −1.95712e6 | − | 1.16705e7i | −0.0671320 | − | 0.400313i | ||||
\(969\) | −6.69138e6 | + | 6.69138e6i | −0.228932 | + | 0.228932i | ||||
\(970\) | 1.85522e7 | − | 8.91792e6i | 0.633091 | − | 0.304323i | ||||
\(971\) | 5.99048e6 | − | 1.44623e7i | 0.203898 | − | 0.492254i | −0.788542 | − | 0.614981i | \(-0.789164\pi\) |
0.992441 | + | 0.122727i | \(0.0391638\pi\) | |||||||
\(972\) | −1.03420e7 | − | 1.87758e7i | −0.351106 | − | 0.637431i | ||||
\(973\) | 2.86371e7 | − | 1.18619e7i | 0.969720 | − | 0.401671i | ||||
\(974\) | 9.74974e6 | − | 540535.i | 0.329303 | − | 0.0182569i | ||||
\(975\) | 394582.i | 0.0132931i | ||||||||
\(976\) | −2.62961e7 | − | 3.72865e7i | −0.883621 | − | 1.25293i | ||||
\(977\) | 1.18957e7i | 0.398707i | 0.979928 | + | 0.199353i | \(0.0638842\pi\) | ||||
−0.979928 | + | 0.199353i | \(0.936116\pi\) | |||||||
\(978\) | 738654. | + | 1.33232e7i | 0.0246941 | + | 0.445413i | ||||
\(979\) | −4.05884e7 | + | 1.68123e7i | −1.35346 | + | 0.560622i | ||||
\(980\) | 7.01183e6 | + | 2.03095e6i | 0.233220 | + | 0.0675512i | ||||
\(981\) | −1.70544e7 | + | 4.11729e7i | −0.565800 | + | 1.36596i | ||||
\(982\) | 1.15578e7 | + | 2.40439e7i | 0.382468 | + | 0.795658i | ||||
\(983\) | 9.59252e6 | − | 9.59252e6i | 0.316628 | − | 0.316628i | −0.530843 | − | 0.847470i | \(-0.678125\pi\) |
0.847470 | + | 0.530843i | \(0.178125\pi\) | |||||||
\(984\) | 6.53585e6 | + | 1.04515e7i | 0.215186 | + | 0.344105i | ||||
\(985\) | −5.00866e6 | − | 5.00866e6i | −0.164487 | − | 0.164487i | ||||
\(986\) | 1.00536e7 | − | 2.86658e7i | 0.329329 | − | 0.939012i | ||||
\(987\) | 4.94525e6 | + | 2.04839e6i | 0.161583 | + | 0.0669298i | ||||
\(988\) | −1.94855e6 | − | 1.55849e6i | −0.0635067 | − | 0.0507938i | ||||
\(989\) | −1.08091e7 | − | 2.60955e7i | −0.351398 | − | 0.848349i | ||||
\(990\) | −1.58382e7 | − | 1.41742e7i | −0.513590 | − | 0.459634i | ||||
\(991\) | 4.79721e7 | 1.55169 | 0.775844 | − | 0.630925i | \(-0.217324\pi\) | ||||
0.775844 | + | 0.630925i | \(0.217324\pi\) | |||||||
\(992\) | −4.20164e6 | + | 7.53847e6i | −0.135563 | + | 0.243223i | ||||
\(993\) | 7.38331e6 | 0.237617 | ||||||||
\(994\) | −3.35143e7 | − | 2.99933e7i | −1.07588 | − | 0.962850i | ||||
\(995\) | 1.02433e7 | + | 2.47296e7i | 0.328008 | + | 0.791881i | ||||
\(996\) | 8.06498e6 | − | 1.00835e7i | 0.257605 | − | 0.322080i | ||||
\(997\) | 8.05972e6 | + | 3.33845e6i | 0.256792 | + | 0.106367i | 0.507366 | − | 0.861731i | \(-0.330619\pi\) |
−0.250574 | + | 0.968098i | \(0.580619\pi\) | |||||||
\(998\) | 3.62150e6 | − | 1.03259e7i | 0.115097 | − | 0.328174i | ||||
\(999\) | 7.73165e6 | + | 7.73165e6i | 0.245108 | + | 0.245108i |
(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 | 32.6.g.a.5.5 | ✓ | 76 | |
4.3 | odd | 2 | 128.6.g.a.113.8 | 76 | |||
32.13 | even | 8 | inner | 32.6.g.a.13.5 | yes | 76 | |
32.19 | odd | 8 | 128.6.g.a.17.8 | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.6.g.a.5.5 | ✓ | 76 | 1.1 | even | 1 | trivial | |
32.6.g.a.13.5 | yes | 76 | 32.13 | even | 8 | inner | |
128.6.g.a.17.8 | 76 | 32.19 | odd | 8 | |||
128.6.g.a.113.8 | 76 | 4.3 | odd | 2 |