Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,6,Mod(27,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.27");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.f (of order \(6\), degree \(2\), 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: | \(12.1891703058\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 27.7 | ||
Character | \(\chi\) | \(=\) | 76.27 |
Dual form | 76.6.f.a.31.7 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.03826 | − | 2.57214i | −0.890648 | − | 0.454694i | ||||
\(3\) | 3.22504 | − | 5.58593i | 0.206886 | − | 0.358338i | −0.743846 | − | 0.668351i | \(-0.767000\pi\) |
0.950732 | + | 0.310014i | \(0.100334\pi\) | |||||||
\(4\) | 18.7682 | + | 25.9182i | 0.586507 | + | 0.809944i | ||||
\(5\) | −2.36309 | + | 4.09299i | −0.0422722 | + | 0.0732177i | −0.886387 | − | 0.462944i | \(-0.846793\pi\) |
0.844115 | + | 0.536162i | \(0.180126\pi\) | |||||||
\(6\) | −30.6164 | + | 19.8482i | −0.347197 | + | 0.225083i | ||||
\(7\) | − | 80.2152i | − | 0.618745i | −0.950941 | − | 0.309372i | \(-0.899881\pi\) | ||
0.950941 | − | 0.309372i | \(-0.100119\pi\) | |||||||
\(8\) | −27.8940 | − | 178.857i | −0.154094 | − | 0.988056i | ||||
\(9\) | 100.698 | + | 174.414i | 0.414396 | + | 0.717755i | ||||
\(10\) | 22.4336 | − | 14.5434i | 0.0709413 | − | 0.0459902i | ||||
\(11\) | 518.517i | 1.29206i | 0.763313 | + | 0.646028i | \(0.223571\pi\) | ||||
−0.763313 | + | 0.646028i | \(0.776429\pi\) | |||||||
\(12\) | 205.306 | − | 21.2507i | 0.411574 | − | 0.0426010i | ||||
\(13\) | −282.141 | + | 162.894i | −0.463028 | + | 0.267329i | −0.713317 | − | 0.700842i | \(-0.752808\pi\) |
0.250289 | + | 0.968171i | \(0.419474\pi\) | |||||||
\(14\) | −206.325 | + | 404.146i | −0.281340 | + | 0.551084i | ||||
\(15\) | 15.2421 | + | 26.4001i | 0.0174911 | + | 0.0302955i | ||||
\(16\) | −319.508 | + | 972.877i | −0.312020 | + | 0.950076i | ||||
\(17\) | 386.161 | − | 668.851i | 0.324076 | − | 0.561315i | −0.657249 | − | 0.753673i | \(-0.728280\pi\) |
0.981325 | + | 0.192358i | \(0.0616135\pi\) | |||||||
\(18\) | −58.7263 | − | 1137.76i | −0.0427220 | − | 0.827690i | ||||
\(19\) | 1558.84 | − | 214.749i | 0.990644 | − | 0.136473i | ||||
\(20\) | −150.434 | + | 15.5711i | −0.0840952 | + | 0.00870449i | ||||
\(21\) | −448.077 | − | 258.697i | −0.221720 | − | 0.128010i | ||||
\(22\) | 1333.70 | − | 2612.43i | 0.587490 | − | 1.15077i | ||||
\(23\) | 3886.24 | − | 2243.72i | 1.53183 | − | 0.884402i | 0.532552 | − | 0.846397i | \(-0.321233\pi\) |
0.999278 | − | 0.0380048i | \(-0.0121002\pi\) | |||||||
\(24\) | −1089.04 | − | 421.008i | −0.385938 | − | 0.149198i | ||||
\(25\) | 1551.33 | + | 2686.99i | 0.496426 | + | 0.859835i | ||||
\(26\) | 1840.48 | − | 94.9983i | 0.533948 | − | 0.0275602i | ||||
\(27\) | 2866.39 | 0.756704 | ||||||||
\(28\) | 2079.04 | − | 1505.50i | 0.501149 | − | 0.362898i | ||||
\(29\) | −2657.17 | + | 1534.12i | −0.586712 | + | 0.338738i | −0.763796 | − | 0.645457i | \(-0.776667\pi\) |
0.177084 | + | 0.984196i | \(0.443333\pi\) | |||||||
\(30\) | −8.88907 | − | 172.216i | −0.00180324 | − | 0.0349357i | ||||
\(31\) | 5934.95 | 1.10921 | 0.554604 | − | 0.832114i | \(-0.312870\pi\) | ||||
0.554604 | + | 0.832114i | \(0.312870\pi\) | |||||||
\(32\) | 4112.14 | − | 4079.79i | 0.709893 | − | 0.704309i | ||||
\(33\) | 2896.40 | + | 1672.24i | 0.462993 | + | 0.267309i | ||||
\(34\) | −3665.96 | + | 2376.59i | −0.543864 | + | 0.352579i | ||||
\(35\) | 328.320 | + | 189.556i | 0.0453031 | + | 0.0261557i | ||||
\(36\) | −2630.59 | + | 5883.37i | −0.338296 | + | 0.756606i | ||||
\(37\) | − | 9616.57i | − | 1.15482i | −0.816453 | − | 0.577412i | \(-0.804063\pi\) | ||
0.816453 | − | 0.577412i | \(-0.195937\pi\) | |||||||
\(38\) | −8406.21 | − | 2927.59i | −0.944368 | − | 0.328890i | ||||
\(39\) | 2101.36i | 0.221227i | ||||||||
\(40\) | 797.977 | + | 308.486i | 0.0788571 | + | 0.0304849i | ||||
\(41\) | −3908.01 | − | 2256.29i | −0.363075 | − | 0.209621i | 0.307354 | − | 0.951595i | \(-0.400556\pi\) |
−0.670429 | + | 0.741974i | \(0.733890\pi\) | |||||||
\(42\) | 1592.12 | + | 2455.90i | 0.139269 | + | 0.214826i | ||||
\(43\) | 17637.0 | + | 10182.7i | 1.45463 | + | 0.839832i | 0.998739 | − | 0.0502024i | \(-0.0159867\pi\) |
0.455893 | + | 0.890035i | \(0.349320\pi\) | |||||||
\(44\) | −13439.0 | + | 9731.65i | −1.04649 | + | 0.757800i | ||||
\(45\) | −951.836 | −0.0700698 | ||||||||
\(46\) | −25351.1 | + | 1308.52i | −1.76645 | + | 0.0911771i | ||||
\(47\) | −7408.13 | + | 4277.09i | −0.489175 | + | 0.282425i | −0.724232 | − | 0.689556i | \(-0.757806\pi\) |
0.235057 | + | 0.971982i | \(0.424472\pi\) | |||||||
\(48\) | 4404.00 | + | 4922.32i | 0.275895 | + | 0.308366i | ||||
\(49\) | 10372.5 | 0.617155 | ||||||||
\(50\) | −904.723 | − | 17528.0i | −0.0511789 | − | 0.991532i | ||||
\(51\) | −2490.77 | − | 4314.14i | −0.134094 | − | 0.232257i | ||||
\(52\) | −9517.20 | − | 4255.35i | −0.488091 | − | 0.218236i | ||||
\(53\) | −20174.2 | + | 11647.6i | −0.986522 | + | 0.569569i | −0.904233 | − | 0.427040i | \(-0.859556\pi\) |
−0.0822891 | + | 0.996608i | \(0.526223\pi\) | |||||||
\(54\) | −14441.6 | − | 7372.75i | −0.673957 | − | 0.344069i | ||||
\(55\) | −2122.29 | − | 1225.30i | −0.0946014 | − | 0.0546181i | ||||
\(56\) | −14347.1 | + | 2237.52i | −0.611355 | + | 0.0953449i | ||||
\(57\) | 3827.75 | − | 9400.14i | 0.156047 | − | 0.383219i | ||||
\(58\) | 17333.5 | − | 894.685i | 0.676576 | − | 0.0349221i | ||||
\(59\) | −10270.0 | + | 17788.2i | −0.384098 | + | 0.665276i | −0.991644 | − | 0.129008i | \(-0.958821\pi\) |
0.607546 | + | 0.794284i | \(0.292154\pi\) | |||||||
\(60\) | −398.177 | + | 890.531i | −0.0142790 | + | 0.0319353i | ||||
\(61\) | 11435.2 | + | 19806.4i | 0.393479 | + | 0.681525i | 0.992906 | − | 0.118905i | \(-0.0379382\pi\) |
−0.599427 | + | 0.800429i | \(0.704605\pi\) | |||||||
\(62\) | −29901.9 | − | 15265.5i | −0.987914 | − | 0.504350i | ||||
\(63\) | 13990.7 | − | 8077.53i | 0.444107 | − | 0.256406i | ||||
\(64\) | −31211.8 | + | 9978.09i | −0.952510 | + | 0.304507i | ||||
\(65\) | − | 1539.73i | − | 0.0452024i | ||||||
\(66\) | −10291.6 | − | 15875.1i | −0.290819 | − | 0.448598i | ||||
\(67\) | 9677.85 | + | 16762.5i | 0.263385 | + | 0.456197i | 0.967139 | − | 0.254247i | \(-0.0818276\pi\) |
−0.703754 | + | 0.710444i | \(0.748494\pi\) | |||||||
\(68\) | 24583.0 | − | 2544.53i | 0.644707 | − | 0.0667320i | ||||
\(69\) | − | 28944.4i | − | 0.731883i | ||||||
\(70\) | −1166.60 | − | 1799.52i | −0.0284562 | − | 0.0438946i | ||||
\(71\) | −17287.3 | + | 29942.5i | −0.406988 | + | 0.704924i | −0.994551 | − | 0.104255i | \(-0.966754\pi\) |
0.587562 | + | 0.809179i | \(0.300088\pi\) | |||||||
\(72\) | 28386.4 | − | 22875.7i | 0.645326 | − | 0.520048i | ||||
\(73\) | −16494.9 | + | 28570.0i | −0.362279 | + | 0.627485i | −0.988336 | − | 0.152292i | \(-0.951335\pi\) |
0.626057 | + | 0.779778i | \(0.284668\pi\) | |||||||
\(74\) | −24735.1 | + | 48450.8i | −0.525092 | + | 1.02854i | ||||
\(75\) | 20012.4 | 0.410815 | ||||||||
\(76\) | 34822.6 | + | 36371.9i | 0.691555 | + | 0.722324i | ||||
\(77\) | 41593.0 | 0.799454 | ||||||||
\(78\) | 5404.98 | − | 10587.2i | 0.100591 | − | 0.197035i | ||||
\(79\) | 26338.0 | − | 45618.7i | 0.474804 | − | 0.822385i | −0.524780 | − | 0.851238i | \(-0.675852\pi\) |
0.999584 | + | 0.0288533i | \(0.00918558\pi\) | |||||||
\(80\) | −3226.95 | − | 3606.74i | −0.0563726 | − | 0.0630072i | ||||
\(81\) | −15225.5 | + | 26371.3i | −0.257844 | + | 0.446600i | ||||
\(82\) | 13886.1 | + | 21419.7i | 0.228058 | + | 0.351787i | ||||
\(83\) | − | 115275.i | − | 1.83670i | −0.395764 | − | 0.918352i | \(-0.629520\pi\) | ||
0.395764 | − | 0.918352i | \(-0.370480\pi\) | |||||||
\(84\) | −1704.63 | − | 16468.6i | −0.0263592 | − | 0.254659i | ||||
\(85\) | 1825.07 | + | 3161.11i | 0.0273988 | + | 0.0474561i | ||||
\(86\) | −62668.4 | − | 96668.0i | −0.913698 | − | 1.40941i | ||||
\(87\) | 19790.4i | 0.280321i | ||||||||
\(88\) | 92740.6 | − | 14463.5i | 1.27662 | − | 0.199098i | ||||
\(89\) | 17896.5 | − | 10332.5i | 0.239493 | − | 0.138271i | −0.375451 | − | 0.926842i | \(-0.622512\pi\) |
0.614944 | + | 0.788571i | \(0.289179\pi\) | |||||||
\(90\) | 4795.60 | + | 2448.25i | 0.0624075 | + | 0.0318603i | ||||
\(91\) | 13066.6 | + | 22632.0i | 0.165409 | + | 0.286496i | ||||
\(92\) | 131091. | + | 58613.8i | 1.61474 | + | 0.721989i | ||||
\(93\) | 19140.5 | − | 33152.2i | 0.229480 | − | 0.397471i | ||||
\(94\) | 48325.4 | − | 2494.36i | 0.564099 | − | 0.0291165i | ||||
\(95\) | −2804.71 | + | 6887.79i | −0.0318845 | + | 0.0783017i | ||||
\(96\) | −9527.63 | − | 36127.6i | −0.105513 | − | 0.400093i | ||||
\(97\) | −129234. | − | 74613.0i | −1.39459 | − | 0.805166i | −0.400769 | − | 0.916179i | \(-0.631257\pi\) |
−0.993819 | + | 0.111014i | \(0.964590\pi\) | |||||||
\(98\) | −52259.5 | − | 26679.5i | −0.549667 | − | 0.280617i | ||||
\(99\) | −90436.9 | + | 52213.8i | −0.927380 | + | 0.535423i | ||||
\(100\) | −40526.1 | + | 90637.7i | −0.405261 | + | 0.906377i | ||||
\(101\) | −17119.2 | − | 29651.2i | −0.166986 | − | 0.289227i | 0.770373 | − | 0.637593i | \(-0.220070\pi\) |
−0.937359 | + | 0.348366i | \(0.886737\pi\) | |||||||
\(102\) | 1452.59 | + | 28142.4i | 0.0138243 | + | 0.267831i | ||||
\(103\) | 76097.4 | 0.706768 | 0.353384 | − | 0.935478i | \(-0.385031\pi\) | ||||
0.353384 | + | 0.935478i | \(0.385031\pi\) | |||||||
\(104\) | 37004.8 | + | 45919.1i | 0.335486 | + | 0.416304i | ||||
\(105\) | 2117.69 | − | 1222.65i | 0.0187452 | − | 0.0108225i | ||||
\(106\) | 131602. | − | 6792.77i | 1.13762 | − | 0.0587195i | ||||
\(107\) | −147092. | −1.24202 | −0.621012 | − | 0.783801i | \(-0.713278\pi\) | ||||
−0.621012 | + | 0.783801i | \(0.713278\pi\) | |||||||
\(108\) | 53797.1 | + | 74291.8i | 0.443812 | + | 0.612888i | ||||
\(109\) | 182886. | + | 105589.i | 1.47440 | + | 0.851245i | 0.999584 | − | 0.0288408i | \(-0.00918160\pi\) |
0.474815 | + | 0.880086i | \(0.342515\pi\) | |||||||
\(110\) | 7541.00 | + | 11632.2i | 0.0594220 | + | 0.0916602i | ||||
\(111\) | −53717.5 | − | 31013.8i | −0.413817 | − | 0.238917i | ||||
\(112\) | 78039.6 | + | 25629.4i | 0.587855 | + | 0.193061i | ||||
\(113\) | 62274.0i | 0.458786i | 0.973334 | + | 0.229393i | \(0.0736742\pi\) | ||||
−0.973334 | + | 0.229393i | \(0.926326\pi\) | |||||||
\(114\) | −43463.7 | + | 37514.9i | −0.313231 | + | 0.270360i | ||||
\(115\) | 21208.5i | 0.149543i | ||||||||
\(116\) | −89632.1 | − | 40076.5i | −0.618470 | − | 0.276532i | ||||
\(117\) | −56822.1 | − | 32806.3i | −0.383754 | − | 0.221560i | ||||
\(118\) | 97496.8 | − | 63205.8i | 0.644593 | − | 0.417880i | ||||
\(119\) | −53652.0 | − | 30976.0i | −0.347311 | − | 0.200520i | ||||
\(120\) | 4296.69 | − | 3462.57i | 0.0272384 | − | 0.0219505i | ||||
\(121\) | −107809. | −0.669411 | ||||||||
\(122\) | −6668.94 | − | 129203.i | −0.0405655 | − | 0.785911i | ||||
\(123\) | −25207.0 | + | 14553.3i | −0.150230 | + | 0.0867356i | ||||
\(124\) | 111388. | + | 153823.i | 0.650558 | + | 0.898397i | ||||
\(125\) | −29433.1 | −0.168485 | ||||||||
\(126\) | −91265.4 | + | 4710.75i | −0.512129 | + | 0.0264340i | ||||
\(127\) | −42010.2 | − | 72763.8i | −0.231124 | − | 0.400319i | 0.727015 | − | 0.686622i | \(-0.240907\pi\) |
−0.958139 | + | 0.286303i | \(0.907574\pi\) | |||||||
\(128\) | 182919. | + | 30008.9i | 0.986808 | + | 0.161892i | ||||
\(129\) | 113760. | − | 65679.3i | 0.601887 | − | 0.347500i | ||||
\(130\) | −3960.40 | + | 7757.58i | −0.0205533 | + | 0.0402594i | ||||
\(131\) | −71379.9 | − | 41211.2i | −0.363411 | − | 0.209815i | 0.307165 | − | 0.951656i | \(-0.400620\pi\) |
−0.670576 | + | 0.741841i | \(0.733953\pi\) | |||||||
\(132\) | 11018.9 | + | 106455.i | 0.0550429 | + | 0.531777i | ||||
\(133\) | −17226.1 | − | 125043.i | −0.0844420 | − | 0.612956i | ||||
\(134\) | −5644.03 | − | 109347.i | −0.0271536 | − | 0.526071i | ||||
\(135\) | −6773.54 | + | 11732.1i | −0.0319876 | + | 0.0554041i | ||||
\(136\) | −130400. | − | 50410.8i | −0.604549 | − | 0.233709i | ||||
\(137\) | 79479.4 | + | 137662.i | 0.361787 | + | 0.626634i | 0.988255 | − | 0.152813i | \(-0.0488333\pi\) |
−0.626468 | + | 0.779447i | \(0.715500\pi\) | |||||||
\(138\) | −74448.9 | + | 145829.i | −0.332783 | + | 0.651850i | ||||
\(139\) | −4665.98 | + | 2693.91i | −0.0204836 | + | 0.0118262i | −0.510207 | − | 0.860052i | \(-0.670431\pi\) |
0.489723 | + | 0.871878i | \(0.337098\pi\) | |||||||
\(140\) | 1249.04 | + | 12067.1i | 0.00538586 | + | 0.0520335i | ||||
\(141\) | 55175.1i | 0.233720i | ||||||||
\(142\) | 164114. | − | 106393.i | 0.683008 | − | 0.442784i | ||||
\(143\) | −84463.3 | − | 146295.i | −0.345405 | − | 0.598258i | ||||
\(144\) | −201858. | + | 42240.2i | −0.811221 | + | 0.169754i | ||||
\(145\) | − | 14501.1i | − | 0.0572769i | ||||||
\(146\) | 156592. | − | 101516.i | 0.607977 | − | 0.394142i | ||||
\(147\) | 33451.8 | − | 57940.2i | 0.127681 | − | 0.221150i | ||||
\(148\) | 249244. | − | 180486.i | 0.935343 | − | 0.677312i | ||||
\(149\) | 54915.2 | − | 95116.0i | 0.202641 | − | 0.350984i | −0.746738 | − | 0.665119i | \(-0.768381\pi\) |
0.949379 | + | 0.314134i | \(0.101714\pi\) | |||||||
\(150\) | −100828. | − | 51474.7i | −0.365891 | − | 0.186795i | ||||
\(151\) | −288225. | −1.02870 | −0.514351 | − | 0.857580i | \(-0.671967\pi\) | ||||
−0.514351 | + | 0.857580i | \(0.671967\pi\) | |||||||
\(152\) | −81891.7 | − | 272820.i | −0.287495 | − | 0.957782i | ||||
\(153\) | 155543. | 0.537183 | ||||||||
\(154\) | −209556. | − | 106983.i | −0.712032 | − | 0.363507i | ||||
\(155\) | −14024.8 | + | 24291.7i | −0.0468887 | + | 0.0812136i | ||||
\(156\) | −54463.4 | + | 39438.7i | −0.179182 | + | 0.129751i | ||||
\(157\) | −225824. | + | 391138.i | −0.731173 | + | 1.26643i | 0.225209 | + | 0.974311i | \(0.427694\pi\) |
−0.956382 | + | 0.292119i | \(0.905640\pi\) | |||||||
\(158\) | −250035. | + | 162094.i | −0.796817 | + | 0.516565i | ||||
\(159\) | 150256.i | 0.471344i | ||||||||
\(160\) | 6981.21 | + | 26471.9i | 0.0215591 | + | 0.0817495i | ||||
\(161\) | −179981. | − | 311736.i | −0.547219 | − | 0.947812i | ||||
\(162\) | 144540. | − | 93703.4i | 0.432715 | − | 0.280523i | ||||
\(163\) | 376080.i | 1.10869i | 0.832286 | + | 0.554346i | \(0.187032\pi\) | ||||
−0.832286 | + | 0.554346i | \(0.812968\pi\) | |||||||
\(164\) | −14867.3 | − | 143635.i | −0.0431642 | − | 0.417015i | ||||
\(165\) | −13688.9 | + | 7903.30i | −0.0391435 | + | 0.0225995i | ||||
\(166\) | −296503. | + | 580785.i | −0.835139 | + | 1.63586i | ||||
\(167\) | −51447.0 | − | 89108.9i | −0.142748 | − | 0.247246i | 0.785783 | − | 0.618503i | \(-0.212260\pi\) |
−0.928530 | + | 0.371256i | \(0.878927\pi\) | |||||||
\(168\) | −33771.2 | + | 87357.9i | −0.0923153 | + | 0.238797i | ||||
\(169\) | −132578. | + | 229631.i | −0.357070 | + | 0.618464i | ||||
\(170\) | −1064.36 | − | 20620.8i | −0.00282467 | − | 0.0547247i | ||||
\(171\) | 194428. | + | 250259.i | 0.508473 | + | 0.654486i | ||||
\(172\) | 67096.8 | + | 648231.i | 0.172934 | + | 1.67074i | ||||
\(173\) | −125268. | − | 72323.4i | −0.318218 | − | 0.183723i | 0.332380 | − | 0.943146i | \(-0.392148\pi\) |
−0.650598 | + | 0.759422i | \(0.725482\pi\) | |||||||
\(174\) | 50903.6 | − | 99709.2i | 0.127460 | − | 0.249667i | ||||
\(175\) | 215537. | − | 124440.i | 0.532019 | − | 0.307161i | ||||
\(176\) | −504454. | − | 165671.i | −1.22755 | − | 0.403147i | ||||
\(177\) | 66242.5 | + | 114735.i | 0.158929 | + | 0.275273i | ||||
\(178\) | −116744. | + | 6025.85i | −0.276175 | + | 0.0142550i | ||||
\(179\) | −16000.5 | −0.0373251 | −0.0186625 | − | 0.999826i | \(-0.505941\pi\) | ||||
−0.0186625 | + | 0.999826i | \(0.505941\pi\) | |||||||
\(180\) | −17864.3 | − | 24669.9i | −0.0410964 | − | 0.0567526i | ||||
\(181\) | 665739. | − | 384365.i | 1.51045 | − | 0.872061i | 0.510529 | − | 0.859861i | \(-0.329450\pi\) |
0.999926 | − | 0.0122004i | \(-0.00388362\pi\) | |||||||
\(182\) | −7620.31 | − | 147635.i | −0.0170527 | − | 0.330377i | ||||
\(183\) | 147516. | 0.325621 | ||||||||
\(184\) | −509709. | − | 632496.i | −1.10988 | − | 1.37725i | ||||
\(185\) | 39360.5 | + | 22724.8i | 0.0845535 | + | 0.0488170i | ||||
\(186\) | −181707. | + | 117798.i | −0.385114 | + | 0.249663i | ||||
\(187\) | 346811. | + | 200231.i | 0.725251 | + | 0.418724i | ||||
\(188\) | −249892. | − | 111732.i | −0.515653 | − | 0.230560i | ||||
\(189\) | − | 229928.i | − | 0.468207i | ||||||
\(190\) | 31847.2 | − | 27488.4i | 0.0640011 | − | 0.0552415i | ||||
\(191\) | − | 127870.i | − | 0.253621i | −0.991927 | − | 0.126811i | \(-0.959526\pi\) | ||
0.991927 | − | 0.126811i | \(-0.0404740\pi\) | |||||||
\(192\) | −44922.5 | + | 206527.i | −0.0879449 | + | 0.404319i | ||||
\(193\) | −449428. | − | 259477.i | −0.868493 | − | 0.501425i | −0.00164614 | − | 0.999999i | \(-0.500524\pi\) |
−0.866847 | + | 0.498574i | \(0.833857\pi\) | |||||||
\(194\) | 459198. | + | 708326.i | 0.875982 | + | 1.35123i | ||||
\(195\) | −8600.84 | − | 4965.70i | −0.0161977 | − | 0.00935176i | ||||
\(196\) | 194674. | + | 268837.i | 0.361965 | + | 0.499861i | ||||
\(197\) | −169895. | −0.311899 | −0.155949 | − | 0.987765i | \(-0.549844\pi\) | ||||
−0.155949 | + | 0.987765i | \(0.549844\pi\) | |||||||
\(198\) | 589946. | − | 30450.6i | 1.06942 | − | 0.0551993i | ||||
\(199\) | 654415. | − | 377827.i | 1.17144 | − | 0.676332i | 0.217422 | − | 0.976078i | \(-0.430235\pi\) |
0.954019 | + | 0.299746i | \(0.0969018\pi\) | |||||||
\(200\) | 437314. | − | 352418.i | 0.773069 | − | 0.622992i | ||||
\(201\) | 124846. | 0.217963 | ||||||||
\(202\) | 9983.74 | + | 193424.i | 0.0172153 | + | 0.333527i | ||||
\(203\) | 123060. | + | 213146.i | 0.209593 | + | 0.363025i | ||||
\(204\) | 65067.5 | − | 145525.i | 0.109468 | − | 0.244829i | ||||
\(205\) | 18470.0 | − | 10663.6i | 0.0306960 | − | 0.0177223i | ||||
\(206\) | −383399. | − | 195733.i | −0.629481 | − | 0.321363i | ||||
\(207\) | 782676. | + | 451878.i | 1.26957 | + | 0.732986i | ||||
\(208\) | −68329.6 | − | 326534.i | −0.109509 | − | 0.523324i | ||||
\(209\) | 111351. | + | 808286.i | 0.176331 | + | 1.27997i | ||||
\(210\) | −13814.3 | + | 713.038i | −0.0216163 | + | 0.00111574i | ||||
\(211\) | 170093. | − | 294610.i | 0.263015 | − | 0.455555i | −0.704027 | − | 0.710174i | \(-0.748616\pi\) |
0.967042 | + | 0.254618i | \(0.0819498\pi\) | |||||||
\(212\) | −680518. | − | 304275.i | −1.03992 | − | 0.464972i | ||||
\(213\) | 111505. | + | 193132.i | 0.168401 | + | 0.291678i | ||||
\(214\) | 741089. | + | 378341.i | 1.10621 | + | 0.564741i | ||||
\(215\) | −83355.6 | + | 48125.4i | −0.122981 | + | 0.0710032i | ||||
\(216\) | −79955.1 | − | 512675.i | −0.116604 | − | 0.747666i | ||||
\(217\) | − | 476074.i | − | 0.686317i | ||||||
\(218\) | −649839. | − | 1.00240e6i | −0.926114 | − | 1.42856i | ||||
\(219\) | 106393. | + | 184279.i | 0.149901 | + | 0.259636i | ||||
\(220\) | −8073.87 | − | 78002.7i | −0.0112467 | − | 0.108656i | ||||
\(221\) | 251613.i | 0.346540i | ||||||||
\(222\) | 190871. | + | 294424.i | 0.259931 | + | 0.400951i | ||||
\(223\) | 386209. | − | 668934.i | 0.520069 | − | 0.900785i | −0.479659 | − | 0.877455i | \(-0.659240\pi\) |
0.999728 | − | 0.0233305i | \(-0.00742701\pi\) | |||||||
\(224\) | −327262. | − | 329856.i | −0.435788 | − | 0.439243i | ||||
\(225\) | −312433. | + | 541149.i | −0.411434 | + | 0.712625i | ||||
\(226\) | 160177. | − | 313753.i | 0.208607 | − | 0.408617i | ||||
\(227\) | 1.05885e6 | 1.36386 | 0.681930 | − | 0.731417i | \(-0.261141\pi\) | ||||
0.681930 | + | 0.731417i | \(0.261141\pi\) | |||||||
\(228\) | 315475. | − | 77215.6i | 0.401909 | − | 0.0983711i | ||||
\(229\) | −293398. | −0.369717 | −0.184858 | − | 0.982765i | \(-0.559183\pi\) | ||||
−0.184858 | + | 0.982765i | \(0.559183\pi\) | |||||||
\(230\) | 54551.1 | − | 106854.i | 0.0679961 | − | 0.133190i | ||||
\(231\) | 134139. | − | 232336.i | 0.165396 | − | 0.286474i | ||||
\(232\) | 348508. | + | 432462.i | 0.425101 | + | 0.527507i | ||||
\(233\) | 108167. | − | 187350.i | 0.130528 | − | 0.226081i | −0.793352 | − | 0.608763i | \(-0.791666\pi\) |
0.923880 | + | 0.382682i | \(0.124999\pi\) | |||||||
\(234\) | 201903. | + | 311441.i | 0.241047 | + | 0.371823i | ||||
\(235\) | − | 40428.6i | − | 0.0477550i | ||||||
\(236\) | −653789. | + | 67672.1i | −0.764113 | + | 0.0790915i | ||||
\(237\) | −169882. | − | 294244.i | −0.196461 | − | 0.340280i | ||||
\(238\) | 190638. | + | 294066.i | 0.218156 | + | 0.336513i | ||||
\(239\) | − | 988288.i | − | 1.11915i | −0.828779 | − | 0.559575i | \(-0.810964\pi\) | ||
0.828779 | − | 0.559575i | \(-0.189036\pi\) | |||||||
\(240\) | −30554.1 | + | 6393.66i | −0.0342406 | + | 0.00716508i | ||||
\(241\) | 489996. | − | 282899.i | 0.543438 | − | 0.313754i | −0.203033 | − | 0.979172i | \(-0.565080\pi\) |
0.746471 | + | 0.665418i | \(0.231747\pi\) | |||||||
\(242\) | 543172. | + | 277300.i | 0.596209 | + | 0.304377i | ||||
\(243\) | 446472. | + | 773312.i | 0.485041 | + | 0.840116i | ||||
\(244\) | −298728. | + | 668113.i | −0.321219 | + | 0.718415i | ||||
\(245\) | −24511.2 | + | 42454.6i | −0.0260885 | + | 0.0451866i | ||||
\(246\) | 164432. | − | 8487.33i | 0.173241 | − | 0.00894197i | ||||
\(247\) | −404831. | + | 314515.i | −0.422212 | + | 0.328019i | ||||
\(248\) | −165550. | − | 1.06151e6i | −0.170922 | − | 1.09596i | ||||
\(249\) | −643917. | − | 371766.i | −0.658160 | − | 0.379989i | ||||
\(250\) | 148292. | + | 75705.9i | 0.150060 | + | 0.0766090i | ||||
\(251\) | −1.35487e6 | + | 782234.i | −1.35742 | + | 0.783705i | −0.989275 | − | 0.146065i | \(-0.953339\pi\) |
−0.368142 | + | 0.929770i | \(0.620006\pi\) | |||||||
\(252\) | 471936. | + | 211013.i | 0.468146 | + | 0.209319i | ||||
\(253\) | 1.16341e6 | + | 2.01508e6i | 1.14270 | + | 1.97921i | ||||
\(254\) | 24500.0 | + | 474660.i | 0.0238277 | + | 0.461634i | ||||
\(255\) | 23543.6 | 0.0226737 | ||||||||
\(256\) | −844405. | − | 621685.i | −0.805287 | − | 0.592885i | ||||
\(257\) | 1.44358e6 | − | 833451.i | 1.36335 | − | 0.787132i | 0.373284 | − | 0.927717i | \(-0.378232\pi\) |
0.990069 | + | 0.140585i | \(0.0448984\pi\) | |||||||
\(258\) | −742089. | + | 38303.6i | −0.694075 | + | 0.0358253i | ||||
\(259\) | −771395. | −0.714542 | ||||||||
\(260\) | 39907.1 | − | 28898.0i | 0.0366115 | − | 0.0265115i | ||||
\(261\) | −535145. | − | 308966.i | −0.486262 | − | 0.280744i | ||||
\(262\) | 253630. | + | 391232.i | 0.228269 | + | 0.352112i | ||||
\(263\) | −275157. | − | 158862.i | −0.245296 | − | 0.141622i | 0.372312 | − | 0.928107i | \(-0.378565\pi\) |
−0.617608 | + | 0.786486i | \(0.711898\pi\) | |||||||
\(264\) | 218300. | − | 564688.i | 0.192772 | − | 0.498653i | ||||
\(265\) | − | 110097.i | − | 0.0963078i | ||||||
\(266\) | −234837. | + | 674306.i | −0.203499 | + | 0.584323i | ||||
\(267\) | − | 133291.i | − | 0.114426i | ||||||
\(268\) | −252819. | + | 565435.i | −0.215017 | + | 0.480890i | ||||
\(269\) | −1.07766e6 | − | 622189.i | −0.908035 | − | 0.524254i | −0.0282364 | − | 0.999601i | \(-0.508989\pi\) |
−0.879798 | + | 0.475347i | \(0.842322\pi\) | |||||||
\(270\) | 64303.5 | − | 41687.0i | 0.0536816 | − | 0.0348010i | ||||
\(271\) | −1.72594e6 | − | 996474.i | −1.42759 | − | 0.824220i | −0.430660 | − | 0.902514i | \(-0.641719\pi\) |
−0.996930 | + | 0.0782946i | \(0.975053\pi\) | |||||||
\(272\) | 527328. | + | 589391.i | 0.432174 | + | 0.483038i | ||||
\(273\) | 168561. | 0.136883 | ||||||||
\(274\) | −46351.7 | − | 898012.i | −0.0372983 | − | 0.722613i | ||||
\(275\) | −1.39325e6 | + | 804392.i | −1.11096 | + | 0.641411i | ||||
\(276\) | 750187. | − | 543234.i | 0.592784 | − | 0.429254i | ||||
\(277\) | −1.55369e6 | −1.21665 | −0.608325 | − | 0.793688i | \(-0.708158\pi\) | ||||
−0.608325 | + | 0.793688i | \(0.708158\pi\) | |||||||
\(278\) | 30437.6 | − | 1571.06i | 0.0236210 | − | 0.00121922i | ||||
\(279\) | 597639. | + | 1.03514e6i | 0.459652 | + | 0.796140i | ||||
\(280\) | 24745.3 | − | 64009.9i | 0.0188624 | − | 0.0487924i | ||||
\(281\) | 233205. | − | 134641.i | 0.176186 | − | 0.101721i | −0.409314 | − | 0.912394i | \(-0.634232\pi\) |
0.585499 | + | 0.810673i | \(0.300898\pi\) | |||||||
\(282\) | 141918. | − | 277987.i | 0.106271 | − | 0.208162i | ||||
\(283\) | −1.59542e6 | − | 921114.i | −1.18415 | − | 0.683671i | −0.227181 | − | 0.973853i | \(-0.572951\pi\) |
−0.956972 | + | 0.290182i | \(0.906284\pi\) | |||||||
\(284\) | −1.10051e6 | + | 113911.i | −0.809651 | + | 0.0838050i | ||||
\(285\) | 29429.4 | + | 37880.3i | 0.0214620 | + | 0.0276250i | ||||
\(286\) | 49258.3 | + | 954323.i | 0.0356094 | + | 0.689891i | ||||
\(287\) | −180989. | + | 313482.i | −0.129702 | + | 0.224651i | ||||
\(288\) | 1.12566e6 | + | 306389.i | 0.799699 | + | 0.217667i | ||||
\(289\) | 411688. | + | 713064.i | 0.289950 | + | 0.502208i | ||||
\(290\) | −37298.7 | + | 73060.1i | −0.0260435 | + | 0.0510135i | ||||
\(291\) | −833566. | + | 481260.i | −0.577042 | + | 0.333155i | ||||
\(292\) | −1.05006e6 | + | 108690.i | −0.720707 | + | 0.0745987i | ||||
\(293\) | − | 583511.i | − | 0.397082i | −0.980093 | − | 0.198541i | \(-0.936380\pi\) | ||
0.980093 | − | 0.198541i | \(-0.0636203\pi\) | |||||||
\(294\) | −317569. | + | 205875.i | −0.214274 | + | 0.138911i | ||||
\(295\) | −48538.0 | − | 84070.3i | −0.0324733 | − | 0.0562455i | ||||
\(296\) | −1.71999e6 | + | 268245.i | −1.14103 | + | 0.177951i | ||||
\(297\) | 1.48627e6i | 0.977705i | ||||||||
\(298\) | −521329. | + | 337970.i | −0.340072 | + | 0.220464i | ||||
\(299\) | −730978. | + | 1.26609e6i | −0.472853 | + | 0.819006i | ||||
\(300\) | 375597. | + | 518686.i | 0.240946 | + | 0.332737i | ||||
\(301\) | 816809. | − | 1.41475e6i | 0.519642 | − | 0.900046i | ||||
\(302\) | 1.45216e6 | + | 741355.i | 0.916212 | + | 0.467745i | ||||
\(303\) | −220840. | −0.138188 | ||||||||
\(304\) | −289138. | + | 1.58517e6i | −0.179441 | + | 0.983769i | ||||
\(305\) | −108090. | −0.0665329 | ||||||||
\(306\) | −783667. | − | 400078.i | −0.478440 | − | 0.244254i | ||||
\(307\) | −545780. | + | 945319.i | −0.330500 | + | 0.572443i | −0.982610 | − | 0.185681i | \(-0.940551\pi\) |
0.652110 | + | 0.758124i | \(0.273884\pi\) | |||||||
\(308\) | 780626. | + | 1.07802e6i | 0.468885 | + | 0.647513i | ||||
\(309\) | 245417. | − | 425075.i | 0.146221 | − | 0.253261i | ||||
\(310\) | 133142. | − | 86314.3i | 0.0786887 | − | 0.0510127i | ||||
\(311\) | − | 2.60982e6i | − | 1.53006i | −0.643993 | − | 0.765031i | \(-0.722724\pi\) | ||
0.643993 | − | 0.765031i | \(-0.277276\pi\) | |||||||
\(312\) | 375843. | − | 58615.2i | 0.218585 | − | 0.0340898i | ||||
\(313\) | −1.25776e6 | − | 2.17851e6i | −0.725668 | − | 1.25689i | −0.958698 | − | 0.284425i | \(-0.908197\pi\) |
0.233030 | − | 0.972470i | \(-0.425136\pi\) | |||||||
\(314\) | 2.14382e6 | − | 1.38981e6i | 1.22706 | − | 0.795482i | ||||
\(315\) | 76351.8i | 0.0433553i | ||||||||
\(316\) | 1.67667e6 | − | 173548.i | 0.944562 | − | 0.0977693i | ||||
\(317\) | 47987.3 | − | 27705.5i | 0.0268212 | − | 0.0154852i | −0.486529 | − | 0.873664i | \(-0.661737\pi\) |
0.513351 | + | 0.858179i | \(0.328404\pi\) | |||||||
\(318\) | 386478. | − | 757027.i | 0.214317 | − | 0.419801i | ||||
\(319\) | −795468. | − | 1.37779e6i | −0.437669 | − | 0.758065i | ||||
\(320\) | 32916.2 | − | 151329.i | 0.0179694 | − | 0.0826128i | ||||
\(321\) | −474378. | + | 821647.i | −0.256958 | + | 0.445064i | ||||
\(322\) | 104963. | + | 2.03354e6i | 0.0564154 | + | 1.09298i | ||||
\(323\) | 458329. | − | 1.12556e6i | 0.244439 | − | 0.600291i | ||||
\(324\) | −969251. | + | 100325.i | −0.512948 | + | 0.0530941i | ||||
\(325\) | −875387. | − | 505405.i | −0.459718 | − | 0.265418i | ||||
\(326\) | 967329. | − | 1.89479e6i | 0.504116 | − | 0.987454i | ||||
\(327\) | 1.17963e6 | − | 681060.i | 0.610066 | − | 0.352222i | ||||
\(328\) | −294544. | + | 761913.i | −0.151170 | + | 0.391040i | ||||
\(329\) | 343087. | + | 594245.i | 0.174749 | + | 0.302674i | ||||
\(330\) | 89296.8 | − | 4609.13i | 0.0451389 | − | 0.00232989i | ||||
\(331\) | −1.00306e6 | −0.503220 | −0.251610 | − | 0.967829i | \(-0.580960\pi\) | ||||
−0.251610 | + | 0.967829i | \(0.580960\pi\) | |||||||
\(332\) | 2.98772e6 | − | 2.16350e6i | 1.48763 | − | 1.07724i | ||||
\(333\) | 1.67727e6 | − | 968372.i | 0.828881 | − | 0.478555i | ||||
\(334\) | 30003.5 | + | 581283.i | 0.0147165 | + | 0.285116i | ||||
\(335\) | −91478.5 | −0.0445356 | ||||||||
\(336\) | 394845. | − | 353268.i | 0.190800 | − | 0.170709i | ||||
\(337\) | 1.87694e6 | + | 1.08365e6i | 0.900277 | + | 0.519775i | 0.877290 | − | 0.479961i | \(-0.159349\pi\) |
0.0229868 | + | 0.999736i | \(0.492682\pi\) | |||||||
\(338\) | 1.25860e6 | − | 815935.i | 0.599235 | − | 0.388476i | ||||
\(339\) | 347858. | + | 200836.i | 0.164400 | + | 0.0949166i | ||||
\(340\) | −47677.1 | + | 106631.i | −0.0223672 | + | 0.0500248i | ||||
\(341\) | 3.07738e6i | 1.43316i | ||||||||
\(342\) | −335877. | − | 1.76097e6i | −0.155280 | − | 0.814116i | ||||
\(343\) | − | 2.18021e6i | − | 1.00061i | ||||||
\(344\) | 1.32929e6 | − | 3.43854e6i | 0.605651 | − | 1.56667i | ||||
\(345\) | 118469. | + | 68398.2i | 0.0535868 | + | 0.0309383i | ||||
\(346\) | 445107. | + | 686591.i | 0.199882 | + | 0.308324i | ||||
\(347\) | 3.60421e6 | + | 2.08089e6i | 1.60689 | + | 0.927740i | 0.990060 | + | 0.140645i | \(0.0449176\pi\) |
0.616832 | + | 0.787095i | \(0.288416\pi\) | |||||||
\(348\) | −512931. | + | 371430.i | −0.227045 | + | 0.164410i | ||||
\(349\) | −532904. | −0.234199 | −0.117100 | − | 0.993120i | \(-0.537360\pi\) | ||||
−0.117100 | + | 0.993120i | \(0.537360\pi\) | |||||||
\(350\) | −1.40601e6 | + | 72572.5i | −0.613506 | + | 0.0316667i | ||||
\(351\) | −808725. | + | 466918.i | −0.350375 | + | 0.202289i | ||||
\(352\) | 2.11544e6 | + | 2.13222e6i | 0.910007 | + | 0.917222i | ||||
\(353\) | −2.54160e6 | −1.08560 | −0.542801 | − | 0.839862i | \(-0.682636\pi\) | ||||
−0.542801 | + | 0.839862i | \(0.682636\pi\) | |||||||
\(354\) | −38632.0 | − | 748452.i | −0.0163847 | − | 0.317436i | ||||
\(355\) | −81703.0 | − | 141514.i | −0.0344086 | − | 0.0595975i | ||||
\(356\) | 603686. | + | 269922.i | 0.252456 | + | 0.112879i | ||||
\(357\) | −346060. | + | 199798.i | −0.143708 | + | 0.0829697i | ||||
\(358\) | 80614.7 | + | 41155.5i | 0.0332435 | + | 0.0169715i | ||||
\(359\) | 13051.4 | + | 7535.25i | 0.00534468 | + | 0.00308575i | 0.502670 | − | 0.864478i | \(-0.332351\pi\) |
−0.497325 | + | 0.867564i | \(0.665684\pi\) | |||||||
\(360\) | 26550.5 | + | 170243.i | 0.0107973 | + | 0.0692329i | ||||
\(361\) | 2.38386e6 | − | 669518.i | 0.962750 | − | 0.270392i | ||||
\(362\) | −4.34281e6 | + | 224158.i | −1.74180 | + | 0.0899048i | ||||
\(363\) | −347689. | + | 602215.i | −0.138492 | + | 0.239875i | ||||
\(364\) | −341344. | + | 763424.i | −0.135033 | + | 0.302004i | ||||
\(365\) | −77957.9 | − | 135027.i | −0.0306287 | − | 0.0530504i | ||||
\(366\) | −743227. | − | 379433.i | −0.290014 | − | 0.148058i | ||||
\(367\) | 3.40212e6 | − | 1.96422e6i | 1.31851 | − | 0.761245i | 0.335025 | − | 0.942209i | \(-0.391255\pi\) |
0.983490 | + | 0.180964i | \(0.0579219\pi\) | |||||||
\(368\) | 941182. | + | 4.49773e6i | 0.362288 | + | 1.73130i | ||||
\(369\) | − | 908818.i | − | 0.347465i | ||||||
\(370\) | −139857. | − | 215734.i | −0.0531106 | − | 0.0819247i | ||||
\(371\) | 934313. | + | 1.61828e6i | 0.352418 | + | 0.610406i | ||||
\(372\) | 1.21848e6 | − | 126122.i | 0.456521 | − | 0.0472534i | ||||
\(373\) | 503981.i | 0.187561i | 0.995593 | + | 0.0937804i | \(0.0298952\pi\) | ||||
−0.995593 | + | 0.0937804i | \(0.970105\pi\) | |||||||
\(374\) | −1.23230e6 | − | 1.90086e6i | −0.455552 | − | 0.702703i | ||||
\(375\) | −94922.7 | + | 164411.i | −0.0348572 | + | 0.0603744i | ||||
\(376\) | 971631. | + | 1.20569e6i | 0.354431 | + | 0.439812i | ||||
\(377\) | 499798. | − | 865675.i | 0.181109 | − | 0.313691i | ||||
\(378\) | −591407. | + | 1.15844e6i | −0.212891 | + | 0.417007i | ||||
\(379\) | 1.47249e6 | 0.526570 | 0.263285 | − | 0.964718i | \(-0.415194\pi\) | ||||
0.263285 | + | 0.964718i | \(0.415194\pi\) | |||||||
\(380\) | −231159. | + | 56578.3i | −0.0821205 | + | 0.0200998i | ||||
\(381\) | −541938. | −0.191266 | ||||||||
\(382\) | −328899. | + | 644243.i | −0.115320 | + | 0.225887i | ||||
\(383\) | −687208. | + | 1.19028e6i | −0.239382 | + | 0.414621i | −0.960537 | − | 0.278152i | \(-0.910278\pi\) |
0.721155 | + | 0.692773i | \(0.243611\pi\) | |||||||
\(384\) | 757547. | − | 924990.i | 0.262169 | − | 0.320117i | ||||
\(385\) | −98288.0 | + | 170240.i | −0.0337947 | + | 0.0585341i | ||||
\(386\) | 1.59692e6 | + | 2.46330e6i | 0.545527 | + | 0.841492i | ||||
\(387\) | 4.10153e6i | 1.39209i | ||||||||
\(388\) | −491646. | − | 4.74986e6i | −0.165796 | − | 1.60177i | ||||
\(389\) | 1.36232e6 | + | 2.35960e6i | 0.456461 | + | 0.790614i | 0.998771 | − | 0.0495645i | \(-0.0157833\pi\) |
−0.542310 | + | 0.840179i | \(0.682450\pi\) | |||||||
\(390\) | 30560.8 | + | 47141.0i | 0.0101743 | + | 0.0156941i | ||||
\(391\) | − | 3.46576e6i | − | 1.14645i | ||||||
\(392\) | −289331. | − | 1.85520e6i | −0.0950999 | − | 0.609783i | ||||
\(393\) | −460406. | + | 265815.i | −0.150369 | + | 0.0868158i | ||||
\(394\) | 855974. | + | 436992.i | 0.277792 | + | 0.141819i | ||||
\(395\) | 124478. | + | 215602.i | 0.0401421 | + | 0.0695281i | ||||
\(396\) | −3.05063e6 | − | 1.36400e6i | −0.977578 | − | 0.437097i | ||||
\(397\) | −1.07278e6 | + | 1.85811e6i | −0.341613 | + | 0.591691i | −0.984732 | − | 0.174075i | \(-0.944306\pi\) |
0.643120 | + | 0.765766i | \(0.277640\pi\) | |||||||
\(398\) | −4.26894e6 | + | 220345.i | −1.35087 | + | 0.0697262i | ||||
\(399\) | −754035. | − | 307044.i | −0.237115 | − | 0.0965534i | ||||
\(400\) | −3.10977e6 | + | 650742.i | −0.971803 | + | 0.203357i | ||||
\(401\) | −4.41578e6 | − | 2.54945e6i | −1.37134 | − | 0.791746i | −0.380247 | − | 0.924885i | \(-0.624161\pi\) |
−0.991097 | + | 0.133139i | \(0.957494\pi\) | |||||||
\(402\) | −629006. | − | 321120.i | −0.194129 | − | 0.0991066i | ||||
\(403\) | −1.67449e6 | + | 966768.i | −0.513594 | + | 0.296524i | ||||
\(404\) | 447212. | − | 1.00020e6i | 0.136320 | − | 0.304883i | ||||
\(405\) | −71958.2 | − | 124635.i | −0.0217993 | − | 0.0377575i | ||||
\(406\) | −71767.4 | − | 1.39041e6i | −0.0216079 | − | 0.418628i | ||||
\(407\) | 4.98636e6 | 1.49210 | ||||||||
\(408\) | −702138. | + | 565831.i | −0.208820 | + | 0.168281i | ||||
\(409\) | 2.41225e6 | − | 1.39272e6i | 0.713041 | − | 0.411675i | −0.0991449 | − | 0.995073i | \(-0.531611\pi\) |
0.812186 | + | 0.583398i | \(0.198277\pi\) | |||||||
\(410\) | −120485. | + | 6218.94i | −0.0353975 | + | 0.00182708i | ||||
\(411\) | 1.02530e6 | 0.299395 | ||||||||
\(412\) | 1.42821e6 | + | 1.97231e6i | 0.414524 | + | 0.572443i | ||||
\(413\) | 1.42689e6 | + | 823812.i | 0.411636 | + | 0.237658i | ||||
\(414\) | −2.78104e6 | − | 4.28983e6i | −0.797454 | − | 1.23010i | ||||
\(415\) | 471819. | + | 272405.i | 0.134479 | + | 0.0776416i | ||||
\(416\) | −495628. | + | 1.82092e6i | −0.140418 | + | 0.515890i | ||||
\(417\) | 34751.8i | 0.00978672i | ||||||||
\(418\) | 1.51801e6 | − | 4.35877e6i | 0.424945 | − | 1.22018i | ||||
\(419\) | 3.16759e6i | 0.881442i | 0.897644 | + | 0.440721i | \(0.145277\pi\) | ||||
−0.897644 | + | 0.440721i | \(0.854723\pi\) | |||||||
\(420\) | 71434.2 | + | 31939.8i | 0.0197598 | + | 0.00883506i | ||||
\(421\) | −1.37905e6 | − | 796194.i | −0.379205 | − | 0.218934i | 0.298267 | − | 0.954482i | \(-0.403591\pi\) |
−0.677472 | + | 0.735548i | \(0.736925\pi\) | |||||||
\(422\) | −1.61475e6 | + | 1.04682e6i | −0.441392 | + | 0.286148i | ||||
\(423\) | −1.49197e6 | − | 861390.i | −0.405424 | − | 0.234072i | ||||
\(424\) | 2.64599e6 | + | 3.28341e6i | 0.714783 | + | 0.886972i | ||||
\(425\) | 2.39626e6 | 0.643518 | ||||||||
\(426\) | −65028.5 | − | 1.25985e6i | −0.0173612 | − | 0.336353i | ||||
\(427\) | 1.58878e6 | − | 917281.i | 0.421690 | − | 0.243463i | ||||
\(428\) | −2.76066e6 | − | 3.81237e6i | −0.728456 | − | 1.00597i | ||||
\(429\) | −1.08959e6 | −0.285838 | ||||||||
\(430\) | 543752. | − | 28066.3i | 0.141818 | − | 0.00732005i | ||||
\(431\) | 1.03442e6 | + | 1.79167e6i | 0.268228 | + | 0.464585i | 0.968404 | − | 0.249385i | \(-0.0802285\pi\) |
−0.700176 | + | 0.713970i | \(0.746895\pi\) | |||||||
\(432\) | −915836. | + | 2.78865e6i | −0.236107 | + | 0.718926i | ||||
\(433\) | −4.91868e6 | + | 2.83980e6i | −1.26075 | + | 0.727893i | −0.973219 | − | 0.229878i | \(-0.926167\pi\) |
−0.287529 | + | 0.957772i | \(0.592834\pi\) | |||||||
\(434\) | −1.22453e6 | + | 2.39858e6i | −0.312064 | + | 0.611267i | ||||
\(435\) | −81001.9 | − | 46766.5i | −0.0205245 | − | 0.0118498i | ||||
\(436\) | 695759. | + | 6.72181e6i | 0.175284 | + | 1.69344i | ||||
\(437\) | 5.57619e6 | − | 4.33217e6i | 1.39680 | − | 1.08518i | ||||
\(438\) | −62047.7 | − | 1.20210e6i | −0.0154540 | − | 0.299404i | ||||
\(439\) | 2.26061e6 | − | 3.91550e6i | 0.559841 | − | 0.969673i | −0.437668 | − | 0.899137i | \(-0.644195\pi\) |
0.997509 | − | 0.0705367i | \(-0.0224712\pi\) | |||||||
\(440\) | −159955. | + | 413765.i | −0.0393883 | + | 0.101888i | ||||
\(441\) | 1.04449e6 | + | 1.80912e6i | 0.255746 | + | 0.442966i | ||||
\(442\) | 647184. | − | 1.26769e6i | 0.157569 | − | 0.308645i | ||||
\(443\) | −2.59792e6 | + | 1.49991e6i | −0.628951 | + | 0.363125i | −0.780346 | − | 0.625348i | \(-0.784957\pi\) |
0.151395 | + | 0.988473i | \(0.451624\pi\) | |||||||
\(444\) | −204359. | − | 1.97433e6i | −0.0491967 | − | 0.475295i | ||||
\(445\) | 97666.9i | 0.0233802i | ||||||||
\(446\) | −3.66642e6 | + | 2.37688e6i | −0.872780 | + | 0.565810i | ||||
\(447\) | −354208. | − | 613505.i | −0.0838473 | − | 0.145228i | ||||
\(448\) | 800395. | + | 2.50367e6i | 0.188412 | + | 0.589361i | ||||
\(449\) | − | 4.17929e6i | − | 0.978332i | −0.872191 | − | 0.489166i | \(-0.837301\pi\) | ||
0.872191 | − | 0.489166i | \(-0.162699\pi\) | |||||||
\(450\) | 2.96603e6 | − | 1.92283e6i | 0.690469 | − | 0.447621i | ||||
\(451\) | 1.16993e6 | − | 2.02637e6i | 0.270843 | − | 0.469113i | ||||
\(452\) | −1.61403e6 | + | 1.16877e6i | −0.371591 | + | 0.269081i | ||||
\(453\) | −929538. | + | 1.61001e6i | −0.212824 | + | 0.368623i | ||||
\(454\) | −5.33477e6 | − | 2.72351e6i | −1.21472 | − | 0.620139i | ||||
\(455\) | −123510. | −0.0279688 | ||||||||
\(456\) | −1.78806e6 | − | 422413.i | −0.402688 | − | 0.0951316i | ||||
\(457\) | −1.14434e6 | −0.256309 | −0.128155 | − | 0.991754i | \(-0.540905\pi\) | ||||
−0.128155 | + | 0.991754i | \(0.540905\pi\) | |||||||
\(458\) | 1.47822e6 | + | 754661.i | 0.329287 | + | 0.168108i | ||||
\(459\) | 1.10689e6 | − | 1.91719e6i | 0.245229 | − | 0.424750i | ||||
\(460\) | −549686. | + | 398045.i | −0.121121 | + | 0.0877078i | ||||
\(461\) | 3.64825e6 | − | 6.31895e6i | 0.799525 | − | 1.38482i | −0.120400 | − | 0.992725i | \(-0.538418\pi\) |
0.919926 | − | 0.392093i | \(-0.128249\pi\) | |||||||
\(462\) | −1.27343e6 | + | 825544.i | −0.277568 | + | 0.179943i | ||||
\(463\) | − | 4.44320e6i | − | 0.963260i | −0.876375 | − | 0.481630i | \(-0.840045\pi\) | ||
0.876375 | − | 0.481630i | \(-0.159955\pi\) | |||||||
\(464\) | −643522. | − | 3.07527e6i | −0.138761 | − | 0.663114i | ||||
\(465\) | 90461.2 | + | 156683.i | 0.0194013 | + | 0.0336040i | ||||
\(466\) | −1.02686e6 | + | 665701.i | −0.219053 | + | 0.142009i | ||||
\(467\) | 8.09750e6i | 1.71814i | 0.511857 | + | 0.859071i | \(0.328958\pi\) | ||||
−0.511857 | + | 0.859071i | \(0.671042\pi\) | |||||||
\(468\) | −216170. | − | 2.08844e6i | −0.0456226 | − | 0.440766i | ||||
\(469\) | 1.34461e6 | − | 776311.i | 0.282270 | − | 0.162968i | ||||
\(470\) | −103988. | + | 203690.i | −0.0217139 | + | 0.0425329i | ||||
\(471\) | 1.45658e6 | + | 2.52287e6i | 0.302539 | + | 0.524014i | ||||
\(472\) | 3.46802e6 | + | 1.34068e6i | 0.716518 | + | 0.276995i | ||||
\(473\) | −5.27992e6 | + | 9.14508e6i | −1.08511 | + | 1.87947i | ||||
\(474\) | 99073.6 | + | 1.91944e6i | 0.0202541 | + | 0.392399i | ||||
\(475\) | 2.99530e6 | + | 3.85543e6i | 0.609126 | + | 0.784042i | ||||
\(476\) | −204110. | − | 1.97193e6i | −0.0412901 | − | 0.398909i | ||||
\(477\) | −4.06301e6 | − | 2.34578e6i | −0.817622 | − | 0.472054i | ||||
\(478\) | −2.54201e6 | + | 4.97925e6i | −0.508871 | + | 0.996769i | ||||
\(479\) | −956630. | + | 552311.i | −0.190504 | + | 0.109988i | −0.592219 | − | 0.805777i | \(-0.701748\pi\) |
0.401714 | + | 0.915765i | \(0.368415\pi\) | |||||||
\(480\) | 170385. | + | 46376.3i | 0.0337542 | + | 0.00918741i | ||||
\(481\) | 1.56648e6 | + | 2.71322e6i | 0.308718 | + | 0.534716i | ||||
\(482\) | −3.19639e6 | + | 164984.i | −0.626674 | + | 0.0323463i | ||||
\(483\) | −2.32178e6 | −0.452849 | ||||||||
\(484\) | −2.02339e6 | − | 2.79422e6i | −0.392614 | − | 0.542185i | ||||
\(485\) | 610781. | − | 352635.i | 0.117905 | − | 0.0680723i | ||||
\(486\) | −260378. | − | 5.04454e6i | −0.0500051 | − | 0.968792i | ||||
\(487\) | −3.31451e6 | −0.633282 | −0.316641 | − | 0.948546i | \(-0.602555\pi\) | ||||
−0.316641 | + | 0.948546i | \(0.602555\pi\) | |||||||
\(488\) | 3.22355e6 | − | 2.59776e6i | 0.612752 | − | 0.493798i | ||||
\(489\) | 2.10076e6 | + | 1.21287e6i | 0.397286 | + | 0.229373i | ||||
\(490\) | 232693. | − | 150852.i | 0.0437818 | − | 0.0283831i | ||||
\(491\) | −2.22093e6 | − | 1.28225e6i | −0.415748 | − | 0.240032i | 0.277508 | − | 0.960723i | \(-0.410491\pi\) |
−0.693257 | + | 0.720691i | \(0.743825\pi\) | |||||||
\(492\) | −850284. | − | 380181.i | −0.158362 | − | 0.0708073i | ||||
\(493\) | 2.36967e6i | 0.439107i | ||||||||
\(494\) | 2.84862e6 | − | 543329.i | 0.525191 | − | 0.100172i | ||||
\(495\) | − | 493544.i | − | 0.0905342i | ||||||
\(496\) | −1.89627e6 | + | 5.77398e6i | −0.346095 | + | 1.05383i | ||||
\(497\) | 2.40185e6 | + | 1.38671e6i | 0.436168 | + | 0.251822i | ||||
\(498\) | 2.28799e6 | + | 3.52930e6i | 0.413410 | + | 0.637698i | ||||
\(499\) | −6.78524e6 | − | 3.91746e6i | −1.21987 | − | 0.704293i | −0.254980 | − | 0.966946i | \(-0.582069\pi\) |
−0.964890 | + | 0.262654i | \(0.915402\pi\) | |||||||
\(500\) | −552406. | − | 762853.i | −0.0988174 | − | 0.136463i | ||||
\(501\) | −663675. | −0.118130 | ||||||||
\(502\) | 8.83821e6 | − | 456192.i | 1.56533 | − | 0.0807958i | ||||
\(503\) | 987481. | − | 570122.i | 0.174024 | − | 0.100473i | −0.410458 | − | 0.911880i | \(-0.634631\pi\) |
0.584482 | + | 0.811407i | \(0.301298\pi\) | |||||||
\(504\) | −1.83498e6 | − | 2.27702e6i | −0.321777 | − | 0.399292i | ||||
\(505\) | 161816. | 0.0282354 | ||||||||
\(506\) | −678490. | − | 1.31450e7i | −0.117806 | − | 2.28236i | ||||
\(507\) | 855136. | + | 1.48114e6i | 0.147746 | + | 0.255903i | ||||
\(508\) | 1.09745e6 | − | 2.45448e6i | 0.188680 | − | 0.421988i | ||||
\(509\) | −8.84124e6 | + | 5.10449e6i | −1.51258 | + | 0.873289i | −0.512689 | + | 0.858574i | \(0.671351\pi\) |
−0.999892 | + | 0.0147145i | \(0.995316\pi\) | |||||||
\(510\) | −118619. | − | 60557.5i | −0.0201943 | − | 0.0103096i | ||||
\(511\) | 2.29175e6 | + | 1.32314e6i | 0.388253 | + | 0.224158i | ||||
\(512\) | 2.65528e6 | + | 5.30414e6i | 0.447646 | + | 0.894211i | ||||
\(513\) | 4.46825e6 | − | 615554.i | 0.749624 | − | 0.103270i | ||||
\(514\) | −9.41689e6 | + | 486062.i | −1.57217 | + | 0.0811490i | ||||
\(515\) | −179825. | + | 311466.i | −0.0298767 | + | 0.0517479i | ||||
\(516\) | 3.83736e6 | + | 1.71577e6i | 0.634466 | + | 0.283684i | ||||
\(517\) | −2.21774e6 | − | 3.84124e6i | −0.364909 | − | 0.632042i | ||||
\(518\) | 3.88649e6 | + | 1.98413e6i | 0.636405 | + | 0.324898i | ||||
\(519\) | −807987. | + | 466492.i | −0.131670 | + | 0.0760196i | ||||
\(520\) | −275392. | + | 42949.3i | −0.0446625 | + | 0.00696543i | ||||
\(521\) | − | 3.61575e6i | − | 0.583585i | −0.956482 | − | 0.291793i | \(-0.905748\pi\) | ||
0.956482 | − | 0.291793i | \(-0.0942517\pi\) | |||||||
\(522\) | 1.90150e6 | + | 2.93312e6i | 0.305436 | + | 0.471144i | ||||
\(523\) | −1.05665e6 | − | 1.83017e6i | −0.168918 | − | 0.292575i | 0.769121 | − | 0.639103i | \(-0.220694\pi\) |
−0.938040 | + | 0.346527i | \(0.887361\pi\) | |||||||
\(524\) | −271552. | − | 2.62350e6i | −0.0432041 | − | 0.417400i | ||||
\(525\) | − | 1.60530e6i | − | 0.254190i | ||||||
\(526\) | 977698. | + | 1.50813e6i | 0.154078 | + | 0.237670i | ||||
\(527\) | 2.29185e6 | − | 3.96960e6i | 0.359467 | − | 0.622616i | ||||
\(528\) | −2.55231e6 | + | 2.28355e6i | −0.398426 | + | 0.356472i | ||||
\(529\) | 6.85042e6 | − | 1.18653e7i | 1.06433 | − | 1.84348i | ||||
\(530\) | −283185. | + | 554699.i | −0.0437906 | + | 0.0857763i | ||||
\(531\) | −4.13670e6 | −0.636674 | ||||||||
\(532\) | 2.91758e6 | − | 2.79330e6i | 0.446934 | − | 0.427896i | ||||
\(533\) | 1.47014e6 | 0.224152 | ||||||||
\(534\) | −342844. | + | 671557.i | −0.0520287 | + | 0.101913i | ||||
\(535\) | 347592. | − | 602047.i | 0.0525032 | − | 0.0909382i | ||||
\(536\) | 2.72815e6 | − | 2.19853e6i | 0.410162 | − | 0.330537i | ||||
\(537\) | −51602.2 | + | 89377.6i | −0.00772205 | + | 0.0133750i | ||||
\(538\) | 3.82920e6 | + | 5.90665e6i | 0.570364 | + | 0.879804i | ||||
\(539\) | 5.37833e6i | 0.797399i | ||||||||
\(540\) | −431203. | + | 44632.8i | −0.0636352 | + | 0.00658673i | ||||
\(541\) | 3.26952e6 | + | 5.66298e6i | 0.480276 | + | 0.831863i | 0.999744 | − | 0.0226273i | \(-0.00720311\pi\) |
−0.519468 | + | 0.854490i | \(0.673870\pi\) | |||||||
\(542\) | 6.13269e6 | + | 9.45987e6i | 0.896712 | + | 1.38321i | ||||
\(543\) | − | 4.95836e6i | − | 0.721670i | ||||||
\(544\) | −1.14082e6 | − | 4.32587e6i | −0.165280 | − | 0.626723i | ||||
\(545\) | −864354. | + | 499035.i | −0.124652 | + | 0.0719680i | ||||
\(546\) | −849254. | − | 433562.i | −0.121915 | − | 0.0622399i | ||||
\(547\) | −2.13029e6 | − | 3.68977e6i | −0.304418 | − | 0.527268i | 0.672714 | − | 0.739903i | \(-0.265129\pi\) |
−0.977132 | + | 0.212635i | \(0.931795\pi\) | |||||||
\(548\) | −2.07628e6 | + | 4.64364e6i | −0.295348 | + | 0.660553i | ||||
\(549\) | −2.30302e6 | + | 3.98895e6i | −0.326112 | + | 0.564842i | ||||
\(550\) | 9.08856e6 | − | 469115.i | 1.28112 | − | 0.0661260i | ||||
\(551\) | −3.81266e6 | + | 2.96207e6i | −0.534994 | + | 0.415639i | ||||
\(552\) | −5.17691e6 | + | 807375.i | −0.723141 | + | 0.112779i | ||||
\(553\) | −3.65931e6 | − | 2.11271e6i | −0.508846 | − | 0.293783i | ||||
\(554\) | 7.82791e6 | + | 3.99631e6i | 1.08361 | + | 0.553203i | ||||
\(555\) | 253878. | − | 146577.i | 0.0349859 | − | 0.0201991i | ||||
\(556\) | −157393. | − | 70374.2i | −0.0215923 | − | 0.00965442i | ||||
\(557\) | 3.73736e6 | + | 6.47330e6i | 0.510420 | + | 0.884073i | 0.999927 | + | 0.0120736i | \(0.00384325\pi\) |
−0.489507 | + | 0.871999i | \(0.662823\pi\) | |||||||
\(558\) | −348538. | − | 6.75253e6i | −0.0473876 | − | 0.918081i | ||||
\(559\) | −6.63481e6 | −0.898047 | ||||||||
\(560\) | −289316. | + | 258851.i | −0.0389854 | + | 0.0348802i | ||||
\(561\) | 2.23696e6 | − | 1.29151e6i | 0.300089 | − | 0.173257i | ||||
\(562\) | −1.52126e6 | + | 78521.3i | −0.203172 | + | 0.0104869i | ||||
\(563\) | 7.67531e6 | 1.02053 | 0.510264 | − | 0.860018i | \(-0.329548\pi\) | ||||
0.510264 | + | 0.860018i | \(0.329548\pi\) | |||||||
\(564\) | −1.43004e6 | + | 1.03554e6i | −0.189300 | + | 0.137078i | ||||
\(565\) | −254887. | − | 147159.i | −0.0335913 | − | 0.0193939i | ||||
\(566\) | 5.66889e6 | + | 8.74444e6i | 0.743802 | + | 1.14734i | ||||
\(567\) | 2.11538e6 | + | 1.22131e6i | 0.276331 | + | 0.159540i | ||||
\(568\) | 5.83765e6 | + | 2.25675e6i | 0.759219 | + | 0.293503i | ||||
\(569\) | 8.23218e6i | 1.06594i | 0.846133 | + | 0.532972i | \(0.178925\pi\) | ||||
−0.846133 | + | 0.532972i | \(0.821075\pi\) | |||||||
\(570\) | −50839.7 | − | 266548.i | −0.00655414 | − | 0.0343627i | ||||
\(571\) | − | 7.15961e6i | − | 0.918966i | −0.888187 | − | 0.459483i | \(-0.848035\pi\) | ||
0.888187 | − | 0.459483i | \(-0.151965\pi\) | |||||||
\(572\) | 2.20647e6 | − | 4.93483e6i | 0.281974 | − | 0.630641i | ||||
\(573\) | −714273. | − | 412386.i | −0.0908820 | − | 0.0524708i | ||||
\(574\) | 1.71819e6 | − | 1.11388e6i | 0.217666 | − | 0.141110i | ||||
\(575\) | 1.20577e7 | + | 6.96152e6i | 1.52088 | + | 0.878081i | ||||
\(576\) | −4.88330e6 | − | 4.43902e6i | −0.613278 | − | 0.557482i | ||||
\(577\) | −3.11046e6 | −0.388943 | −0.194471 | − | 0.980908i | \(-0.562299\pi\) | ||||
−0.194471 | + | 0.980908i | \(0.562299\pi\) | |||||||
\(578\) | −240093. | − | 4.65152e6i | −0.0298923 | − | 0.579129i | ||||
\(579\) | −2.89884e6 | + | 1.67365e6i | −0.359359 | + | 0.207476i | ||||
\(580\) | 375842. | − | 272159.i | 0.0463911 | − | 0.0335933i | ||||
\(581\) | −9.24680e6 | −1.13645 | ||||||||
\(582\) | 5.43759e6 | − | 280666.i | 0.665425 | − | 0.0343465i | ||||
\(583\) | −6.03947e6 | − | 1.04607e7i | −0.735915 | − | 1.27464i | ||||
\(584\) | 5.57007e6 | + | 2.15330e6i | 0.675816 | + | 0.261260i | ||||
\(585\) | 268552. | − | 155048.i | 0.0324443 | − | 0.0187317i | ||||
\(586\) | −1.50087e6 | + | 2.93988e6i | −0.180551 | + | 0.353660i | ||||
\(587\) | −2.18549e6 | − | 1.26179e6i | −0.261790 | − | 0.151145i | 0.363361 | − | 0.931649i | \(-0.381629\pi\) |
−0.625151 | + | 0.780504i | \(0.714963\pi\) | |||||||
\(588\) | 2.12954e6 | − | 220423.i | 0.254005 | − | 0.0262914i | ||||
\(589\) | 9.25164e6 | − | 1.27452e6i | 1.09883 | − | 0.151377i | ||||
\(590\) | 28306.9 | + | 548415.i | 0.00334783 | + | 0.0648603i | ||||
\(591\) | −547917. | + | 949019.i | −0.0645276 | + | 0.111765i | ||||
\(592\) | 9.35574e6 | + | 3.07257e6i | 1.09717 | + | 0.360328i | ||||
\(593\) | −6.77665e6 | − | 1.17375e7i | −0.791368 | − | 1.37069i | −0.925120 | − | 0.379674i | \(-0.876036\pi\) |
0.133752 | − | 0.991015i | \(-0.457297\pi\) | |||||||
\(594\) | 3.82290e6 | − | 7.48824e6i | 0.444556 | − | 0.870790i | ||||
\(595\) | 253569. | − | 146398.i | 0.0293632 | − | 0.0169529i | ||||
\(596\) | 3.49590e6 | − | 361852.i | 0.403128 | − | 0.0417268i | ||||
\(597\) | − | 4.87402e6i | − | 0.559695i | ||||||
\(598\) | 6.93942e6 | − | 4.49872e6i | 0.793543 | − | 0.514442i | ||||
\(599\) | −2.93201e6 | − | 5.07839e6i | −0.333886 | − | 0.578308i | 0.649384 | − | 0.760461i | \(-0.275027\pi\) |
−0.983270 | + | 0.182153i | \(0.941693\pi\) | |||||||
\(600\) | −558226. | − | 3.57937e6i | −0.0633042 | − | 0.405908i | ||||
\(601\) | 1.36194e7i | 1.53805i | 0.639217 | + | 0.769027i | \(0.279259\pi\) | ||||
−0.639217 | + | 0.769027i | \(0.720741\pi\) | |||||||
\(602\) | −7.75424e6 | + | 5.02696e6i | −0.872064 | + | 0.565346i | ||||
\(603\) | −1.94908e6 | + | 3.37591e6i | −0.218292 | + | 0.378092i | ||||
\(604\) | −5.40948e6 | − | 7.47029e6i | −0.603341 | − | 0.833192i | ||||
\(605\) | 254763. | − | 441262.i | 0.0282975 | − | 0.0490127i | ||||
\(606\) | 1.11265e6 | + | 568030.i | 0.123077 | + | 0.0628333i | ||||
\(607\) | −1.49276e7 | −1.64444 | −0.822219 | − | 0.569171i | \(-0.807264\pi\) | ||||
−0.822219 | + | 0.569171i | \(0.807264\pi\) | |||||||
\(608\) | 5.53404e6 | − | 7.24282e6i | 0.607132 | − | 0.794601i | ||||
\(609\) | 1.58749e6 | 0.173447 | ||||||||
\(610\) | 544586. | + | 278023.i | 0.0592574 | + | 0.0302521i | ||||
\(611\) | 1.39342e6 | − | 2.41348e6i | 0.151001 | − | 0.261541i | ||||
\(612\) | 2.91926e6 | + | 4.03140e6i | 0.315061 | + | 0.435088i | ||||
\(613\) | 6.65853e6 | − | 1.15329e7i | 0.715694 | − | 1.23962i | −0.246997 | − | 0.969016i | \(-0.579444\pi\) |
0.962691 | − | 0.270602i | \(-0.0872229\pi\) | |||||||
\(614\) | 5.18127e6 | − | 3.35894e6i | 0.554646 | − | 0.359569i | ||||
\(615\) | − | 137563.i | − | 0.0146660i | ||||||
\(616\) | −1.16019e6 | − | 7.43921e6i | −0.123191 | − | 0.789905i | ||||
\(617\) | 1.75245e6 | + | 3.03533e6i | 0.185324 | + | 0.320991i | 0.943686 | − | 0.330843i | \(-0.107333\pi\) |
−0.758362 | + | 0.651834i | \(0.774000\pi\) | |||||||
\(618\) | −2.32983e6 | + | 1.51039e6i | −0.245388 | + | 0.159081i | ||||
\(619\) | 3.31533e6i | 0.347777i | 0.984765 | + | 0.173888i | \(0.0556332\pi\) | ||||
−0.984765 | + | 0.173888i | \(0.944367\pi\) | |||||||
\(620\) | −892819. | + | 92413.6i | −0.0932791 | + | 0.00965510i | ||||
\(621\) | 1.11395e7 | − | 6.43139e6i | 1.15914 | − | 0.669231i | ||||
\(622\) | −6.71281e6 | + | 1.31489e7i | −0.695710 | + | 1.36275i | ||||
\(623\) | −828827. | − | 1.43557e6i | −0.0855547 | − | 0.148185i | ||||
\(624\) | −2.04436e6 | − | 671401.i | −0.210182 | − | 0.0690272i | ||||
\(625\) | −4.77836e6 | + | 8.27636e6i | −0.489304 | + | 0.847499i | ||||
\(626\) | 733517. | + | 1.42111e7i | 0.0748125 | + | 1.44941i | ||||
\(627\) | 4.87414e6 | + | 1.98475e6i | 0.495141 | + | 0.201622i | ||||
\(628\) | −1.43759e7 | + | 1.48802e6i | −1.45458 | + | 0.150560i | ||||
\(629\) | −6.43205e6 | − | 3.71354e6i | −0.648220 | − | 0.374250i | ||||
\(630\) | 196387. | − | 384680.i | 0.0197134 | − | 0.0386143i | ||||
\(631\) | 1.15017e7 | − | 6.64053e6i | 1.14998 | − | 0.663941i | 0.201097 | − | 0.979571i | \(-0.435549\pi\) |
0.948882 | + | 0.315630i | \(0.102216\pi\) | |||||||
\(632\) | −8.89391e6 | − | 3.43825e6i | −0.885727 | − | 0.342409i | ||||
\(633\) | −1.09711e6 | − | 1.90026e6i | −0.108828 | − | 0.188496i | ||||
\(634\) | −313035. | + | 16157.6i | −0.0309293 | + | 0.00159644i | ||||
\(635\) | 397096. | 0.0390806 | ||||||||
\(636\) | −3.89436e6 | + | 2.82003e6i | −0.381762 | + | 0.276446i | ||||
\(637\) | −2.92651e6 | + | 1.68962e6i | −0.285760 | + | 0.164983i | ||||
\(638\) | 463910. | + | 8.98773e6i | 0.0451213 | + | 0.874174i | ||||
\(639\) | −6.96321e6 | −0.674617 | ||||||||
\(640\) | −555079. | + | 677771.i | −0.0535680 | + | 0.0654083i | ||||
\(641\) | −8.09093e6 | − | 4.67130e6i | −0.777774 | − | 0.449048i | 0.0578671 | − | 0.998324i | \(-0.481570\pi\) |
−0.835641 | + | 0.549276i | \(0.814903\pi\) | |||||||
\(642\) | 4.50343e6 | − | 2.91951e6i | 0.431227 | − | 0.279558i | ||||
\(643\) | −5.67735e6 | − | 3.27782e6i | −0.541525 | − | 0.312649i | 0.204172 | − | 0.978935i | \(-0.434550\pi\) |
−0.745697 | + | 0.666286i | \(0.767883\pi\) | |||||||
\(644\) | 4.70172e6 | − | 1.05155e7i | 0.446727 | − | 0.999115i | ||||
\(645\) | 620824.i | 0.0587583i | ||||||||
\(646\) | −5.20427e6 | + | 4.49198e6i | −0.490658 | + | 0.423503i | ||||
\(647\) | 1.23522e7i | 1.16007i | 0.814590 | + | 0.580036i | \(0.196962\pi\) | ||||
−0.814590 | + | 0.580036i | \(0.803038\pi\) | |||||||
\(648\) | 5.14139e6 | + | 1.98758e6i | 0.480998 | + | 0.185946i | ||||
\(649\) | −9.22349e6 | − | 5.32519e6i | −0.859575 | − | 0.496276i | ||||
\(650\) | 3.11046e6 | + | 4.79798e6i | 0.288763 | + | 0.445425i | ||||
\(651\) | −2.65931e6 | − | 1.53536e6i | −0.245933 | − | 0.141990i | ||||
\(652\) | −9.74732e6 | + | 7.05835e6i | −0.897979 | + | 0.650255i | ||||
\(653\) | 1.97489e7 | 1.81242 | 0.906211 | − | 0.422826i | \(-0.138962\pi\) | ||||
0.906211 | + | 0.422826i | \(0.138962\pi\) | |||||||
\(654\) | −7.69507e6 | + | 397188.i | −0.703507 | + | 0.0363122i | ||||
\(655\) | 337354. | − | 194772.i | 0.0307244 | − | 0.0177387i | ||||
\(656\) | 3.44374e6 | − | 3.08111e6i | 0.312443 | − | 0.279543i | ||||
\(657\) | −6.64404e6 | −0.600508 | ||||||||
\(658\) | −200086. | − | 3.87643e6i | −0.0180157 | − | 0.349034i | ||||
\(659\) | −1.34604e6 | − | 2.33142e6i | −0.120738 | − | 0.209125i | 0.799321 | − | 0.600905i | \(-0.205193\pi\) |
−0.920059 | + | 0.391780i | \(0.871860\pi\) | |||||||
\(660\) | −461756. | − | 206462.i | −0.0412622 | − | 0.0184493i | ||||
\(661\) | 197671. | − | 114125.i | 0.0175970 | − | 0.0101596i | −0.491176 | − | 0.871061i | \(-0.663433\pi\) |
0.508773 | + | 0.860901i | \(0.330099\pi\) | |||||||
\(662\) | 5.05370e6 | + | 2.58002e6i | 0.448192 | + | 0.228811i | ||||
\(663\) | 1.40549e6 | + | 811462.i | 0.124178 | + | 0.0716943i | ||||
\(664\) | −2.06177e7 | + | 3.21548e6i | −1.81477 | + | 0.283025i | ||||
\(665\) | 552506. | + | 224981.i | 0.0484488 | + | 0.0197284i | ||||
\(666\) | −1.09413e7 | + | 564746.i | −0.955837 | + | 0.0493364i | ||||
\(667\) | −6.88428e6 | + | 1.19239e7i | −0.599162 | + | 1.03778i | ||||
\(668\) | 1.34397e6 | − | 3.00583e6i | 0.116533 | − | 0.260629i | ||||
\(669\) | −2.49108e6 | − | 4.31468e6i | −0.215190 | − | 0.372720i | ||||
\(670\) | 460893. | + | 235295.i | 0.0396655 | + | 0.0202501i | ||||
\(671\) | −1.02700e7 | + | 5.92938e6i | −0.880569 | + | 0.508397i | ||||
\(672\) | −2.89799e6 | + | 764261.i | −0.247556 | + | 0.0652858i | ||||
\(673\) | 1.21904e7i | 1.03748i | 0.854933 | + | 0.518739i | \(0.173598\pi\) | ||||
−0.854933 | + | 0.518739i | \(0.826402\pi\) | |||||||
\(674\) | −6.66922e6 | − | 1.02875e7i | −0.565491 | − | 0.872287i | ||||
\(675\) | 4.44672e6 | + | 7.70195e6i | 0.375648 | + | 0.650641i | ||||
\(676\) | −8.43988e6 | + | 873592.i | −0.710345 | + | 0.0735261i | ||||
\(677\) | 1.90898e7i | 1.60077i | 0.599487 | + | 0.800384i | \(0.295371\pi\) | ||||
−0.599487 | + | 0.800384i | \(0.704629\pi\) | |||||||
\(678\) | −1.23602e6 | − | 1.90660e6i | −0.103265 | − | 0.159289i | ||||
\(679\) | −5.98510e6 | + | 1.03665e7i | −0.498192 | + | 0.862894i | ||||
\(680\) | 514479. | − | 414603.i | 0.0426673 | − | 0.0343843i | ||||
\(681\) | 3.41483e6 | − | 5.91467e6i | 0.282164 | − | 0.488723i | ||||
\(682\) | 7.91544e6 | − | 1.55046e7i | 0.651649 | − | 1.27644i | ||||
\(683\) | 1.36098e7 | 1.11635 | 0.558175 | − | 0.829723i | \(-0.311502\pi\) | ||||
0.558175 | + | 0.829723i | \(0.311502\pi\) | |||||||
\(684\) | −2.83722e6 | + | 9.73614e6i | −0.231874 | + | 0.795695i | ||||
\(685\) | −751268. | −0.0611742 | ||||||||
\(686\) | −5.60780e6 | + | 1.09845e7i | −0.454970 | + | 0.891188i | ||||
\(687\) | −946221. | + | 1.63890e6i | −0.0764893 | + | 0.132483i | ||||
\(688\) | −1.55417e7 | + | 1.39052e7i | −1.25178 | + | 1.11997i | ||||
\(689\) | 3.79464e6 | − | 6.57251e6i | 0.304525 | − | 0.527452i | ||||
\(690\) | −420949. | − | 649327.i | −0.0336594 | − | 0.0519207i | ||||
\(691\) | 58793.7i | 0.00468420i | 0.999997 | + | 0.00234210i | \(0.000745514\pi\) | ||||
−0.999997 | + | 0.00234210i | \(0.999254\pi\) | |||||||
\(692\) | −476560. | − | 4.60410e6i | −0.0378314 | − | 0.365494i | ||||
\(693\) | 4.18834e6 | + | 7.25442e6i | 0.331290 | + | 0.573812i | ||||
\(694\) | −1.28066e7 | − | 1.97546e7i | −1.00934 | − | 1.55693i | ||||
\(695\) | − | 25463.8i | − | 0.00199968i | ||||||
\(696\) | 3.53965e6 | − | 552033.i | 0.276973 | − | 0.0431958i | ||||
\(697\) | −3.01824e6 | + | 1.74258e6i | −0.235327 | + | 0.135866i | ||||
\(698\) | 2.68491e6 | + | 1.37070e6i | 0.208589 | + | 0.106489i | ||||
\(699\) | −697684. | − | 1.20842e6i | −0.0540090 | − | 0.0935463i | ||||
\(700\) | 7.27052e6 | + | 3.25081e6i | 0.560816 | + | 0.250753i | ||||
\(701\) | −7.06539e6 | + | 1.22376e7i | −0.543052 | + | 0.940593i | 0.455675 | + | 0.890146i | \(0.349398\pi\) |
−0.998727 | + | 0.0504470i | \(0.983935\pi\) | |||||||
\(702\) | 5.27555e6 | − | 272302.i | 0.404040 | − | 0.0208549i | ||||
\(703\) | −2.06515e6 | − | 1.49907e7i | −0.157602 | − | 1.14402i | ||||
\(704\) | −5.17381e6 | − | 1.61839e7i | −0.393441 | − | 1.23070i | ||||
\(705\) | −225831. | − | 130384.i | −0.0171124 | − | 0.00987985i | ||||
\(706\) | 1.28052e7 | + | 6.53734e6i | 0.966888 | + | 0.493616i | ||||
\(707\) | −2.37848e6 | + | 1.37322e6i | −0.178958 | + | 0.103321i | ||||
\(708\) | −1.73048e6 | + | 3.87026e6i | −0.129743 | + | 0.290173i | ||||
\(709\) | 309139. | + | 535445.i | 0.0230961 | + | 0.0400036i | 0.877342 | − | 0.479865i | \(-0.159314\pi\) |
−0.854246 | + | 0.519868i | \(0.825981\pi\) | |||||||
\(710\) | 47648.5 | + | 923135.i | 0.00354734 | + | 0.0687257i | ||||
\(711\) | 1.06087e7 | 0.787028 | ||||||||
\(712\) | −2.34725e6 | − | 2.91270e6i | −0.173524 | − | 0.215326i | ||||
\(713\) | 2.30647e7 | − | 1.33164e7i | 1.69912 | − | 0.980986i | ||||
\(714\) | 2.25745e6 | − | 116520.i | 0.165719 | − | 0.00855373i | ||||
\(715\) | 798378. | 0.0584041 | ||||||||
\(716\) | −300301. | − | 414704.i | −0.0218914 | − | 0.0302312i | ||||
\(717\) | −5.52051e6 | − | 3.18727e6i | −0.401034 | − | 0.231537i | ||||
\(718\) | −46374.9 | − | 71534.6i | −0.00335716 | − | 0.00517852i | ||||
\(719\) | 1.51633e7 | + | 8.75451e6i | 1.09388 | + | 0.631553i | 0.934607 | − | 0.355682i | \(-0.115751\pi\) |
0.159274 | + | 0.987234i | \(0.449085\pi\) | |||||||
\(720\) | 304119. | − | 926020.i | 0.0218632 | − | 0.0665716i | ||||
\(721\) | − | 6.10417e6i | − | 0.437309i | ||||||
\(722\) | −1.37326e7 | − | 2.75842e6i | −0.980417 | − | 0.196932i | ||||
\(723\) | − | 3.64944e6i | − | 0.259646i | ||||||
\(724\) | 2.24568e7 | + | 1.00409e7i | 1.59221 | + | 0.711914i | ||||
\(725\) | −8.24431e6 | − | 4.75986e6i | −0.582518 | − | 0.336317i | ||||
\(726\) | 3.30073e6 | − | 2.13981e6i | 0.232417 | − | 0.150673i | ||||
\(727\) | 1.34038e7 | + | 7.73871e6i | 0.940575 | + | 0.543041i | 0.890141 | − | 0.455686i | \(-0.150606\pi\) |
0.0504345 | + | 0.998727i | \(0.483939\pi\) | |||||||
\(728\) | 3.68341e6 | − | 2.96835e6i | 0.257586 | − | 0.207580i | ||||
\(729\) | −1.64001e6 | −0.114295 | ||||||||
\(730\) | 45464.4 | + | 880821.i | 0.00315765 | + | 0.0611759i | ||||
\(731\) | 1.36214e7 | − | 7.86434e6i | 0.942821 | − | 0.544338i | ||||
\(732\) | 2.76862e6 | + | 3.82336e6i | 0.190979 | + | 0.263735i | ||||
\(733\) | −6.11584e6 | −0.420432 | −0.210216 | − | 0.977655i | \(-0.567417\pi\) | ||||
−0.210216 | + | 0.977655i | \(0.567417\pi\) | |||||||
\(734\) | −2.21930e7 | + | 1.14551e6i | −1.52047 | + | 0.0784802i | ||||
\(735\) | 158099. | + | 273836.i | 0.0107947 | + | 0.0186970i | ||||
\(736\) | 6.82685e6 | − | 2.50816e7i | 0.464543 | − | 1.70671i | ||||
\(737\) | −8.69166e6 | + | 5.01813e6i | −0.589432 | + | 0.340309i | ||||
\(738\) | −2.33761e6 | + | 4.57887e6i | −0.157990 | + | 0.309469i | ||||
\(739\) | −5.10211e6 | − | 2.94571e6i | −0.343668 | − | 0.198417i | 0.318225 | − | 0.948015i | \(-0.396913\pi\) |
−0.661893 | + | 0.749598i | \(0.730247\pi\) | |||||||
\(740\) | 149740. | + | 1.44666e6i | 0.0100522 | + | 0.0971151i | ||||
\(741\) | 451264. | + | 3.27568e6i | 0.0301915 | + | 0.219157i | ||||
\(742\) | −544883. | − | 1.05565e7i | −0.0363324 | − | 0.703899i | ||||
\(743\) | 6.86847e6 | − | 1.18965e7i | 0.456444 | − | 0.790585i | −0.542326 | − | 0.840168i | \(-0.682456\pi\) |
0.998770 | + | 0.0495836i | \(0.0157894\pi\) | |||||||
\(744\) | −6.46342e6 | − | 2.49866e6i | −0.428085 | − | 0.165491i | ||||
\(745\) | 259539. | + | 449535.i | 0.0171322 | + | 0.0296738i | ||||
\(746\) | 1.29631e6 | − | 2.53919e6i | 0.0852828 | − | 0.167051i | ||||
\(747\) | 2.01056e7 | − | 1.16080e7i | 1.31830 | − | 0.761123i | ||||
\(748\) | 1.31938e6 | + | 1.27467e7i | 0.0862216 | + | 0.832998i | ||||
\(749\) | 1.17990e7i | 0.768497i | ||||||||
\(750\) | 901134. | − | 584192.i | 0.0584973 | − | 0.0379230i | ||||
\(751\) | 9.13855e6 | + | 1.58284e7i | 0.591259 | + | 1.02409i | 0.994063 | + | 0.108804i | \(0.0347021\pi\) |
−0.402805 | + | 0.915286i | \(0.631965\pi\) | |||||||
\(752\) | −1.79412e6 | − | 8.57377e6i | −0.115693 | − | 0.552875i | ||||
\(753\) | 1.00909e7i | 0.648551i | ||||||||
\(754\) | −4.74475e6 | + | 3.07595e6i | −0.303938 | + | 0.197038i | ||||
\(755\) | 681103. | − | 1.17970e6i | 0.0434856 | − | 0.0753192i | ||||
\(756\) | 5.95933e6 | − | 4.31534e6i | 0.379222 | − | 0.274606i | ||||
\(757\) | 8.18032e6 | − | 1.41687e7i | 0.518837 | − | 0.898652i | −0.480924 | − | 0.876762i | \(-0.659699\pi\) |
0.999760 | − | 0.0218891i | \(-0.00696807\pi\) | |||||||
\(758\) | −7.41882e6 | − | 3.78746e6i | −0.468988 | − | 0.239428i | ||||
\(759\) | 1.50082e7 | 0.945634 | ||||||||
\(760\) | 1.31017e6 | + | 309515.i | 0.0822796 | + | 0.0194379i | ||||
\(761\) | 2.84297e7 | 1.77955 | 0.889777 | − | 0.456396i | \(-0.150860\pi\) | ||||
0.889777 | + | 0.456396i | \(0.150860\pi\) | |||||||
\(762\) | 2.73043e6 | + | 1.39394e6i | 0.170351 | + | 0.0869674i | ||||
\(763\) | 8.46988e6 | − | 1.46703e7i | 0.526703 | − | 0.912277i | ||||
\(764\) | 3.31417e6 | − | 2.39989e6i | 0.205419 | − | 0.148751i | ||||
\(765\) | −367562. | + | 636636.i | −0.0227079 | + | 0.0393313i | ||||
\(766\) | 6.52390e6 | − | 4.22935e6i | 0.401731 | − | 0.260436i | ||||
\(767\) | − | 6.69170e6i | − | 0.410722i | ||||||
\(768\) | −6.19593e6 | + | 2.71183e6i | −0.379056 | + | 0.165905i | ||||
\(769\) | −3.38099e6 | − | 5.85605e6i | −0.206171 | − | 0.357099i | 0.744334 | − | 0.667808i | \(-0.232767\pi\) |
−0.950505 | + | 0.310708i | \(0.899434\pi\) | |||||||
\(770\) | 933081. | − | 604903.i | 0.0567143 | − | 0.0367670i | ||||
\(771\) | − | 1.07517e7i | − | 0.651387i | ||||||
\(772\) | −1.70977e6 | − | 1.65183e7i | −0.103251 | − | 0.997520i | ||||
\(773\) | −1.25687e7 | + | 7.25657e6i | −0.756559 | + | 0.436800i | −0.828059 | − | 0.560641i | \(-0.810555\pi\) |
0.0714997 | + | 0.997441i | \(0.477222\pi\) | |||||||
\(774\) | 1.05497e7 | − | 2.06646e7i | 0.632976 | − | 1.23986i | ||||
\(775\) | 9.20708e6 | + | 1.59471e7i | 0.550640 | + | 0.953736i | ||||
\(776\) | −9.74024e6 | + | 2.51956e7i | −0.580651 | + | 1.50200i | ||||
\(777\) | −2.48778e6 | + | 4.30896e6i | −0.147829 | + | 0.256047i | ||||
\(778\) | −794491. | − | 1.53924e7i | −0.0470587 | − | 0.911709i | ||||
\(779\) | −6.57650e6 | − | 2.67796e6i | −0.388285 | − | 0.158110i | ||||
\(780\) | −32720.4 | − | 316116.i | −0.00192567 | − | 0.0186041i | ||||
\(781\) | −1.55257e7 | − | 8.96378e6i | −0.910802 | − | 0.525852i | ||||
\(782\) | −8.91440e6 | + | 1.74614e7i | −0.521285 | + | 1.02109i | ||||
\(783\) | −7.61650e6 | + | 4.39739e6i | −0.443967 | + | 0.256325i | ||||
\(784\) | −3.31410e6 | + | 1.00912e7i | −0.192564 | + | 0.586344i | ||||
\(785\) | −1.06728e6 | − | 1.84859e6i | −0.0618167 | − | 0.107070i | ||||
\(786\) | 3.00336e6 | − | 155021.i | 0.173401 | − | 0.00895024i | ||||
\(787\) | 1.76379e7 | 1.01510 | 0.507550 | − | 0.861622i | \(-0.330551\pi\) | ||||
0.507550 | + | 0.861622i | \(0.330551\pi\) | |||||||
\(788\) | −3.18862e6 | − | 4.40336e6i | −0.182931 | − | 0.252621i | ||||
\(789\) | −1.77478e6 | + | 1.02467e6i | −0.101497 | + | 0.0585992i | ||||
\(790\) | −72594.5 | − | 1.40644e6i | −0.00413843 | − | 0.0801774i | ||||
\(791\) | 4.99532e6 | 0.283872 | ||||||||
\(792\) | 1.18615e7 | + | 1.47189e7i | 0.671932 | + | 0.833798i | ||||
\(793\) | −6.45270e6 | − | 3.72547e6i | −0.364383 | − | 0.210377i | ||||
\(794\) | 1.01843e7 | − | 6.60230e6i | 0.573295 | − | 0.371659i | ||||
\(795\) | −614995. | − | 355068.i | −0.0345107 | − | 0.0199248i | ||||
\(796\) | 2.20748e7 | + | 9.87014e6i | 1.23485 | + | 0.552129i | ||||
\(797\) | − | 3.02812e7i | − | 1.68860i | −0.535870 | − | 0.844300i | \(-0.680016\pi\) | ||
0.535870 | − | 0.844300i | \(-0.319984\pi\) | |||||||
\(798\) | 3.00927e6 | + | 3.48645e6i | 0.167284 | + | 0.193810i | ||||
\(799\) | 6.60658e6i | 0.366108i | ||||||||
\(800\) | 1.73416e7 | + | 4.72015e6i | 0.957999 | + | 0.260754i | ||||
\(801\) | 3.60429e6 | + | 2.08094e6i | 0.198490 | + | 0.114598i | ||||
\(802\) | 1.56903e7 | + | 2.42028e7i | 0.861383 | + | 1.32871i | ||||
\(803\) | −1.48141e7 | − | 8.55290e6i | −0.810747 | − | 0.468085i | ||||
\(804\) | 2.34313e6 | + | 3.23578e6i | 0.127837 | + | 0.176538i | ||||
\(805\) | 1.70124e6 | 0.0925288 | ||||||||
\(806\) | 1.09232e7 | − | 563810.i | 0.592259 | − | 0.0305700i | ||||
\(807\) | −6.95101e6 | + | 4.01317e6i | −0.375720 | + | 0.216922i | ||||
\(808\) | −4.82582e6 | + | 3.88898e6i | −0.260042 | + | 0.209559i | ||||
\(809\) | 5.34123e6 | 0.286926 | 0.143463 | − | 0.989656i | \(-0.454176\pi\) | ||||
0.143463 | + | 0.989656i | \(0.454176\pi\) | |||||||
\(810\) | 41965.4 | + | 813032.i | 0.00224739 | + | 0.0435407i | ||||
\(811\) | 8.64886e6 | + | 1.49803e7i | 0.461750 | + | 0.799774i | 0.999048 | − | 0.0436179i | \(-0.0138884\pi\) |
−0.537298 | + | 0.843392i | \(0.680555\pi\) | |||||||
\(812\) | −3.21475e6 | + | 7.18986e6i | −0.171103 | + | 0.382675i | ||||
\(813\) | −1.11325e7 | + | 6.42734e6i | −0.590698 | + | 0.341040i | ||||
\(814\) | −2.51226e7 | − | 1.28256e7i | −1.32893 | − | 0.678448i | ||||
\(815\) | −1.53929e6 | − | 888710.i | −0.0811759 | − | 0.0468669i | ||||
\(816\) | 4.99295e6 | − | 1.04481e6i | 0.262501 | − | 0.0549303i | ||||
\(817\) | 2.96800e7 | + | 1.20857e7i | 1.55564 | + | 0.633457i | ||||
\(818\) | −1.57358e7 | + | 812219.i | −0.822254 | + | 0.0424414i | ||||
\(819\) | −2.63156e6 | + | 4.55800e6i | −0.137089 | + | 0.237446i | ||||
\(820\) | 623031. | + | 278571.i | 0.0323575 | + | 0.0144678i | ||||
\(821\) | −1.10211e7 | − | 1.90892e7i | −0.570648 | − | 0.988392i | −0.996500 | − | 0.0835985i | \(-0.973359\pi\) |
0.425851 | − | 0.904793i | \(-0.359975\pi\) | |||||||
\(822\) | −5.16572e6 | − | 2.63720e6i | −0.266656 | − | 0.136133i | ||||
\(823\) | −1.17103e7 | + | 6.76092e6i | −0.602653 | + | 0.347942i | −0.770084 | − | 0.637942i | \(-0.779786\pi\) |
0.167432 | + | 0.985884i | \(0.446453\pi\) | |||||||
\(824\) | −2.12266e6 | − | 1.36106e7i | −0.108909 | − | 0.698326i | ||||
\(825\) | 1.03768e7i | 0.530796i | ||||||||
\(826\) | −5.07007e6 | − | 7.82073e6i | −0.258561 | − | 0.398839i | ||||
\(827\) | −8.56682e6 | − | 1.48382e7i | −0.435568 | − | 0.754425i | 0.561774 | − | 0.827291i | \(-0.310119\pi\) |
−0.997342 | + | 0.0728653i | \(0.976786\pi\) | |||||||
\(828\) | 2.97755e6 | + | 2.87665e7i | 0.150933 | + | 1.45818i | ||||
\(829\) | 2.58788e7i | 1.30785i | 0.756560 | + | 0.653925i | \(0.226879\pi\) | ||||
−0.756560 | + | 0.653925i | \(0.773121\pi\) | |||||||
\(830\) | −1.67649e6 | − | 2.58603e6i | −0.0844704 | − | 0.130298i | ||||
\(831\) | −5.01072e6 | + | 8.67881e6i | −0.251708 | + | 0.435971i | ||||
\(832\) | 7.18076e6 | − | 7.89944e6i | 0.359635 | − | 0.395629i | ||||
\(833\) | 4.00546e6 | − | 6.93767e6i | 0.200005 | − | 0.346418i | ||||
\(834\) | 89386.4 | − | 175089.i | 0.00444996 | − | 0.00871652i | ||||
\(835\) | 486296. | 0.0241371 | ||||||||
\(836\) | −1.88595e7 | + | 1.80561e7i | −0.933284 | + | 0.893528i | ||||
\(837\) | 1.70119e7 | 0.839342 | ||||||||
\(838\) | 8.14748e6 | − | 1.59592e7i | 0.400786 | − | 0.785054i | ||||
\(839\) | −1.47299e7 | + | 2.55130e7i | −0.722430 | + | 1.25129i | 0.237593 | + | 0.971365i | \(0.423641\pi\) |
−0.960023 | + | 0.279920i | \(0.909692\pi\) | |||||||
\(840\) | −277751. | − | 344660.i | −0.0135818 | − | 0.0168536i | ||||
\(841\) | −5.54853e6 | + | 9.61033e6i | −0.270513 | + | 0.468542i | ||||
\(842\) | 4.90009e6 | + | 7.55854e6i | 0.238190 | + | 0.367415i | ||||
\(843\) | − | 1.73689e6i | − | 0.0841787i | ||||||
\(844\) | 1.08281e7 | − | 1.12079e6i | 0.523235 | − | 0.0541588i | ||||
\(845\) | −626586. | − | 1.08528e6i | −0.0301883 | − | 0.0522877i | ||||
\(846\) | 5.30133e6 | + | 8.17747e6i | 0.254659 | + | 0.392819i | ||||
\(847\) | 8.64794e6i | 0.414194i | ||||||||
\(848\) | −4.88585e6 | − | 2.33485e7i | −0.233319 | − | 1.11499i | ||||
\(849\) | −1.02906e7 | + | 5.94125e6i | −0.489970 | + | 0.282884i | ||||
\(850\) | −1.20730e7 | − | 6.16350e6i | −0.573148 | − | 0.292604i | ||||
\(851\) | −2.15769e7 | − | 3.73723e7i | −1.02133 | − | 1.76899i | ||||
\(852\) | −2.91288e6 | + | 6.51473e6i | −0.137475 | + | 0.307466i | ||||
\(853\) | 1.72010e6 | − | 2.97929e6i | 0.0809431 | − | 0.140198i | −0.822712 | − | 0.568458i | \(-0.807540\pi\) |
0.903655 | + | 0.428261i | \(0.140873\pi\) | |||||||
\(854\) | −1.03641e7 | + | 534950.i | −0.486278 | + | 0.0250997i | ||||
\(855\) | −1.48376e6 | + | 204406.i | −0.0694142 | + | 0.00956264i | ||||
\(856\) | 4.10299e6 | + | 2.63085e7i | 0.191389 | + | 1.22719i | ||||
\(857\) | −1.00582e7 | − | 5.80709e6i | −0.467807 | − | 0.270089i | 0.247514 | − | 0.968884i | \(-0.420386\pi\) |
−0.715321 | + | 0.698796i | \(0.753720\pi\) | |||||||
\(858\) | 5.48964e6 | + | 2.80258e6i | 0.254581 | + | 0.129969i | ||||
\(859\) | 1.66059e7 | − | 9.58745e6i | 0.767858 | − | 0.443323i | −0.0642522 | − | 0.997934i | \(-0.520466\pi\) |
0.832110 | + | 0.554611i | \(0.187133\pi\) | |||||||
\(860\) | −2.81176e6 | − | 1.25720e6i | −0.129638 | − | 0.0579640i | ||||
\(861\) | 1.16739e6 | + | 2.02198e6i | 0.0536672 | + | 0.0929543i | ||||
\(862\) | −603266. | − | 1.16876e7i | −0.0276529 | − | 0.535743i | ||||
\(863\) | −4.02577e7 | −1.84002 | −0.920009 | − | 0.391897i | \(-0.871819\pi\) | ||||
−0.920009 | + | 0.391897i | \(0.871819\pi\) | |||||||
\(864\) | 1.17870e7 | − | 1.16943e7i | 0.537179 | − | 0.532954i | ||||
\(865\) | 592039. | − | 341814.i | 0.0269036 | − | 0.0155328i | ||||
\(866\) | 3.20859e7 | − | 1.65615e6i | 1.45385 | − | 0.0750419i | ||||
\(867\) | 5.31083e6 | 0.239947 | ||||||||
\(868\) | 1.23390e7 | − | 8.93505e6i | 0.555879 | − | 0.402530i | ||||
\(869\) | 2.36541e7 | + | 1.36567e7i | 1.06257 | + | 0.613474i | ||||
\(870\) | 287819. | + | 443970.i | 0.0128920 | + | 0.0198864i | ||||
\(871\) | −5.46103e6 | − | 3.15293e6i | −0.243910 | − | 0.140821i | ||||
\(872\) | 1.37840e7 | − | 3.56559e7i | 0.613881 | − | 1.58796i | ||||
\(873\) | − | 3.00536e7i | − | 1.33463i | ||||||
\(874\) | −3.92373e7 | + | 7.48389e6i | −1.73748 | + | 0.331397i | ||||
\(875\) | 2.36098e6i | 0.104249i | ||||||||
\(876\) | −2.77937e6 | + | 6.21612e6i | −0.122373 | + | 0.273690i | ||||
\(877\) | −2.64732e7 | − | 1.52843e7i | −1.16227 | − | 0.671039i | −0.210425 | − | 0.977610i | \(-0.567485\pi\) |
−0.951848 | + | 0.306571i | \(0.900818\pi\) | |||||||
\(878\) | −2.14608e7 | + | 1.39127e7i | −0.939526 | + | 0.609081i | ||||
\(879\) | −3.25945e6 | − | 1.88185e6i | −0.142289 | − | 0.0821508i | ||||
\(880\) | 1.87016e6 | − | 1.67323e6i | 0.0814089 | − | 0.0728365i | ||||
\(881\) | −1.56451e7 | −0.679108 | −0.339554 | − | 0.940587i | \(-0.610276\pi\) | ||||
−0.339554 | + | 0.940587i | \(0.610276\pi\) | |||||||
\(882\) | −609140. | − | 1.18014e7i | −0.0263661 | − | 0.510813i | ||||
\(883\) | −1.40647e7 | + | 8.12025e6i | −0.607056 | + | 0.350484i | −0.771812 | − | 0.635851i | \(-0.780649\pi\) |
0.164757 | + | 0.986334i | \(0.447316\pi\) | |||||||
\(884\) | −6.52137e6 | + | 4.72233e6i | −0.280678 | + | 0.203248i | ||||
\(885\) | −626148. | −0.0268731 | ||||||||
\(886\) | 1.69470e7 | − | 874735.i | 0.725284 | − | 0.0374362i | ||||
\(887\) | −9.23715e6 | − | 1.59992e7i | −0.394211 | − | 0.682794i | 0.598789 | − | 0.800907i | \(-0.295649\pi\) |
−0.993000 | + | 0.118113i | \(0.962316\pi\) | |||||||
\(888\) | −4.04865e6 | + | 1.04729e7i | −0.172297 | + | 0.445690i | ||||
\(889\) | −5.83677e6 | + | 3.36986e6i | −0.247695 | + | 0.143007i | ||||
\(890\) | 251213. | − | 492072.i | 0.0106308 | − | 0.0208235i | ||||
\(891\) | −1.36740e7 | − | 7.89466e6i | −0.577032 | − | 0.333150i | ||||
\(892\) | 2.45861e7 | − | 2.54484e6i | 1.03461 | − | 0.107090i | ||||
\(893\) | −1.06296e7 | + | 8.25818e6i | −0.446055 | + | 0.346542i | ||||
\(894\) | 206571. | + | 4.00207e6i | 0.00864420 | + | 0.167472i | ||||
\(895\) | 37810.6 | − | 65489.9i | 0.00157781 | − | 0.00273286i | ||||
\(896\) | 2.40717e6 | − | 1.46729e7i | 0.100170 | − | 0.610583i | ||||
\(897\) | 4.71486e6 | + | 8.16638e6i | 0.195654 | + | 0.338882i | ||||
\(898\) | −1.07497e7 | + | 2.10564e7i | −0.444842 | + | 0.871349i | ||||
\(899\) | −1.57702e7 | + | 9.10493e6i | −0.650786 | + | 0.375731i | ||||
\(900\) | −1.98894e7 | + | 2.05871e6i | −0.818495 | + | 0.0847205i | ||||
\(901\) | 1.79914e7i | 0.738333i | ||||||||
\(902\) | −1.11065e7 | + | 7.20018e6i | −0.454528 | + | 0.294664i | ||||
\(903\) | −5.26848e6 | − | 9.12527e6i | −0.215014 | − | 0.372414i | ||||
\(904\) | 1.11382e7 | − | 1.73707e6i | 0.453307 | − | 0.0706963i | ||||
\(905\) | 3.63315e6i | 0.147456i | ||||||||
\(906\) | 8.82442e6 | − | 5.72074e6i | 0.357162 | − | 0.231543i | ||||
\(907\) | 158249. | − | 274096.i | 0.00638740 | − | 0.0110633i | −0.862814 | − | 0.505521i | \(-0.831300\pi\) |
0.869201 | + | 0.494458i | \(0.164633\pi\) | |||||||
\(908\) | 1.98727e7 | + | 2.74435e7i | 0.799914 | + | 1.10465i | ||||
\(909\) | 3.44774e6 | − | 5.97166e6i | 0.138396 | − | 0.239709i | ||||
\(910\) | 622276. | + | 317685.i | 0.0249103 | + | 0.0127172i | ||||
\(911\) | −3.13572e7 | −1.25182 | −0.625909 | − | 0.779896i | \(-0.715272\pi\) | ||||
−0.625909 | + | 0.779896i | \(0.715272\pi\) | |||||||
\(912\) | 7.92219e6 | + | 6.72735e6i | 0.315398 | + | 0.267829i | ||||
\(913\) | 5.97720e7 | 2.37313 | ||||||||
\(914\) | 5.76549e6 | + | 2.94340e6i | 0.228281 | + | 0.116542i | ||||
\(915\) | −348595. | + | 603784.i | −0.0137647 | + | 0.0238412i | ||||
\(916\) | −5.50657e6 | − | 7.60437e6i | −0.216841 | − | 0.299450i | ||||
\(917\) | −3.30577e6 | + | 5.72575e6i | −0.129822 | + | 0.224859i | ||||
\(918\) | −1.05081e7 | + | 6.81223e6i | −0.411544 | + | 0.266798i | ||||
\(919\) | 4.08149e7i | 1.59415i | 0.603877 | + | 0.797077i | \(0.293622\pi\) | ||||
−0.603877 | + | 0.797077i | \(0.706378\pi\) | |||||||
\(920\) | 3.79329e6 | − | 591590.i | 0.147757 | − | 0.0230436i | ||||
\(921\) | 3.52032e6 | + | 6.09738e6i | 0.136752 | + | 0.236861i | ||||
\(922\) | −3.46341e7 | + | 2.24528e7i | −1.34176 | + | 0.869846i | ||||
\(923\) | − | 1.12640e7i | − | 0.435199i | ||||||
\(924\) | 8.53927e6 | − | 883880.i | 0.329034 | − | 0.0340575i | ||||
\(925\) | 2.58396e7 | − | 1.49185e7i | 0.992958 | − | 0.573285i | ||||
\(926\) | −1.14285e7 | + | 2.23860e7i | −0.437988 | + | 0.857925i | ||||
\(927\) | 7.66288e6 | + | 1.32725e7i | 0.292882 | + | 0.507286i | ||||
\(928\) | −4.66778e6 | + | 1.71492e7i | −0.177926 | + | 0.653695i | ||||
\(929\) | −3.79377e6 | + | 6.57100e6i | −0.144222 | + | 0.249800i | −0.929082 | − | 0.369873i | \(-0.879401\pi\) |
0.784860 | + | 0.619673i | \(0.212735\pi\) | |||||||
\(930\) | −52756.2 | − | 1.02209e6i | −0.00200017 | − | 0.0387509i | ||||
\(931\) | 1.61691e7 | − | 2.22749e6i | 0.611380 | − | 0.0842249i | ||||
\(932\) | 6.88589e6 | − | 712742.i | 0.259669 | − | 0.0268777i | ||||
\(933\) | −1.45783e7 | − | 8.41676e6i | −0.548279 | − | 0.316549i | ||||
\(934\) | 2.08279e7 | − | 4.07974e7i | 0.781229 | − | 1.53026i | ||||
\(935\) | −1.63909e6 | + | 946329.i | −0.0613160 | + | 0.0354008i | ||||
\(936\) | −4.28264e6 | + | 1.10781e7i | −0.159780 | + | 0.413312i | ||||
\(937\) | −1.73839e7 | − | 3.01099e7i | −0.646843 | − | 1.12037i | −0.983872 | − | 0.178871i | \(-0.942755\pi\) |
0.337029 | − | 0.941494i | \(-0.390578\pi\) | |||||||
\(938\) | −8.77128e6 | + | 452738.i | −0.325504 | + | 0.0168012i | ||||
\(939\) | −1.62253e7 | −0.600523 | ||||||||
\(940\) | 1.04784e6 | − | 758772.i | 0.0386789 | − | 0.0280086i | ||||
\(941\) | −9.35680e6 | + | 5.40215e6i | −0.344472 | + | 0.198881i | −0.662248 | − | 0.749285i | \(-0.730397\pi\) |
0.317776 | + | 0.948166i | \(0.397064\pi\) | |||||||
\(942\) | −849465. | − | 1.64574e7i | −0.0311902 | − | 0.604275i | ||||
\(943\) | −2.02500e7 | −0.741558 | ||||||||
\(944\) | −1.40244e7 | − | 1.56750e7i | −0.512217 | − | 0.572501i | ||||
\(945\) | 941095. | + | 543341.i | 0.0342810 | + | 0.0197922i | ||||
\(946\) | 5.01240e7 | − | 3.24947e7i | 1.82103 | − | 1.18055i | ||||
\(947\) | −2.91703e7 | − | 1.68415e7i | −1.05698 | − | 0.610248i | −0.132384 | − | 0.991198i | \(-0.542263\pi\) |
−0.924595 | + | 0.380951i | \(0.875597\pi\) | |||||||
\(948\) | 4.43790e6 | − | 9.92547e6i | 0.160382 | − | 0.358699i | ||||
\(949\) | − | 1.07477e7i | − | 0.387391i | ||||||
\(950\) | −5.17443e6 | − | 2.71290e7i | −0.186017 | − | 0.975271i | ||||
\(951\) | − | 357405.i | − | 0.0128147i | ||||||
\(952\) | −4.04371e6 | + | 1.04601e7i | −0.144607 | + | 0.374062i | ||||
\(953\) | −3.68665e7 | − | 2.12849e7i | −1.31492 | − | 0.759169i | −0.332013 | − | 0.943275i | \(-0.607728\pi\) |
−0.982907 | + | 0.184105i | \(0.941061\pi\) | |||||||
\(954\) | 1.44369e7 | + | 2.22693e7i | 0.513573 | + | 0.792202i | ||||
\(955\) | 523371. | + | 302169.i | 0.0185696 | + | 0.0107211i | ||||
\(956\) | 2.56147e7 | − | 1.85484e7i | 0.906450 | − | 0.656390i | ||||
\(957\) | −1.02617e7 | −0.362191 | ||||||||
\(958\) | 6.24037e6 | − | 322103.i | 0.219683 | − | 0.0113392i | ||||
\(959\) | 1.10426e7 | − | 6.37546e6i | 0.387727 | − | 0.223854i | ||||
\(960\) | −739157. | − | 671909.i | −0.0258856 | − | 0.0235306i | ||||
\(961\) | 6.59452e6 | 0.230343 | ||||||||
\(962\) | −913558. | − | 1.76991e7i | −0.0318272 | − | 0.616616i | ||||
\(963\) | −1.48119e7 | − | 2.56550e7i | −0.514690 | − | 0.891470i | ||||
\(964\) | 1.65286e7 | + | 7.39031e6i | 0.572853 | + | 0.256136i | ||||
\(965\) | 2.12408e6 | − | 1.22634e6i | 0.0734263 | − | 0.0423927i | ||||
\(966\) | 1.16977e7 | + | 5.97194e6i | 0.403329 | + | 0.205908i | ||||
\(967\) | 3.24693e7 | + | 1.87462e7i | 1.11662 | + | 0.644684i | 0.940537 | − | 0.339691i | \(-0.110322\pi\) |
0.176088 | + | 0.984375i | \(0.443656\pi\) | |||||||
\(968\) | 3.00723e6 | + | 1.92825e7i | 0.103152 | + | 0.661415i | ||||
\(969\) | −4.80917e6 | − | 6.19016e6i | −0.164536 | − | 0.211784i | ||||
\(970\) | −3.98430e6 | + | 205653.i | −0.135964 | + | 0.00701789i | ||||
\(971\) | 1.21820e7 | − | 2.10998e7i | 0.414639 | − | 0.718175i | −0.580752 | − | 0.814081i | \(-0.697241\pi\) |
0.995390 | + | 0.0959055i | \(0.0305747\pi\) | |||||||
\(972\) | −1.16634e7 | + | 2.60854e7i | −0.395967 | + | 0.885590i | ||||
\(973\) | 216092. | + | 374283.i | 0.00731741 | + | 0.0126741i | ||||
\(974\) | 1.66994e7 | + | 8.52537e6i | 0.564031 | + | 0.287949i | ||||
\(975\) | −5.64631e6 | + | 3.25990e6i | −0.190219 | + | 0.109823i | ||||
\(976\) | −2.29229e7 | + | 4.79678e6i | −0.770273 | + | 0.161185i | ||||
\(977\) | 4.79928e7i | 1.60857i | 0.594245 | + | 0.804284i | \(0.297451\pi\) | ||||
−0.594245 | + | 0.804284i | \(0.702549\pi\) | |||||||
\(978\) | −7.46449e6 | − | 1.15142e7i | −0.249547 | − | 0.384934i | ||||
\(979\) | 5.35760e6 | + | 9.27964e6i | 0.178654 | + | 0.309439i | ||||
\(980\) | −1.56038e6 | + | 161511.i | −0.0518997 | + | 0.00537202i | ||||
\(981\) | 4.25307e7i | 1.41101i | ||||||||
\(982\) | 7.89148e6 | + | 1.21729e7i | 0.261144 | + | 0.402823i | ||||
\(983\) | 2.30129e7 | − | 3.98595e7i | 0.759605 | − | 1.31567i | −0.183447 | − | 0.983030i | \(-0.558726\pi\) |
0.943052 | − | 0.332645i | \(-0.107941\pi\) | |||||||
\(984\) | 3.30608e6 | + | 4.10250e6i | 0.108849 | + | 0.135071i | ||||
\(985\) | 401476. | − | 695377.i | 0.0131847 | − | 0.0228365i | ||||
\(986\) | 6.09512e6 | − | 1.19390e7i | 0.199659 | − | 0.391090i | ||||
\(987\) | 4.42588e6 | 0.144613 | ||||||||
\(988\) | −1.57496e7 | − | 4.58961e6i | −0.513308 | − | 0.149583i | ||||
\(989\) | 9.13888e7 | 2.97100 | ||||||||
\(990\) | −1.26946e6 | + | 2.48660e6i | −0.0411653 | + | 0.0806341i | ||||
\(991\) | −5.29800e6 | + | 9.17640e6i | −0.171367 | + | 0.296817i | −0.938898 | − | 0.344195i | \(-0.888152\pi\) |
0.767531 | + | 0.641012i | \(0.221485\pi\) | |||||||
\(992\) | 2.44054e7 | − | 2.42134e7i | 0.787420 | − | 0.781226i | ||||
\(993\) | −3.23492e6 | + | 5.60304e6i | −0.104109 | + | 0.180323i | ||||
\(994\) | −8.53434e6 | − | 1.31645e7i | −0.273970 | − | 0.422608i | ||||
\(995\) | 3.57135e6i | 0.114360i | ||||||||
\(996\) | −2.44967e6 | − | 2.36666e7i | −0.0782455 | − | 0.755939i | ||||
\(997\) | 9.22081e6 | + | 1.59709e7i | 0.293786 | + | 0.508852i | 0.974702 | − | 0.223509i | \(-0.0717513\pi\) |
−0.680916 | + | 0.732362i | \(0.738418\pi\) | |||||||
\(998\) | 2.41096e7 | + | 3.71898e7i | 0.766237 | + | 1.18194i | ||||
\(999\) | − | 2.75648e7i | − | 0.873860i |
(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 | 76.6.f.a.27.7 | ✓ | 96 | |
4.3 | odd | 2 | inner | 76.6.f.a.27.9 | yes | 96 | |
19.12 | odd | 6 | inner | 76.6.f.a.31.9 | yes | 96 | |
76.31 | even | 6 | inner | 76.6.f.a.31.7 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.6.f.a.27.7 | ✓ | 96 | 1.1 | even | 1 | trivial | |
76.6.f.a.27.9 | yes | 96 | 4.3 | odd | 2 | inner | |
76.6.f.a.31.7 | yes | 96 | 76.31 | even | 6 | inner | |
76.6.f.a.31.9 | yes | 96 | 19.12 | odd | 6 | inner |