Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [80,6,Mod(29,80)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(80, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("80.29");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 80 = 2^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 80.q (of order \(4\), 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: | \(12.8307055850\) |
Analytic rank: | \(0\) |
Dimension: | \(116\) |
Relative dimension: | \(58\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 69.8 | ||
Character | \(\chi\) | \(=\) | 80.69 |
Dual form | 80.6.q.a.29.8 |
$q$-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 \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.17693 | + | 2.28021i | −0.915161 | + | 0.403088i | ||||
\(3\) | 18.1244 | + | 18.1244i | 1.16268 | + | 1.16268i | 0.983887 | + | 0.178792i | \(0.0572189\pi\) |
0.178792 | + | 0.983887i | \(0.442781\pi\) | |||||||
\(4\) | 21.6013 | − | 23.6090i | 0.675040 | − | 0.737781i | ||||
\(5\) | −35.0084 | − | 43.5822i | −0.626249 | − | 0.779623i | ||||
\(6\) | −135.156 | − | 52.5013i | −1.53270 | − | 0.595377i | ||||
\(7\) | 75.8099 | 0.584764 | 0.292382 | − | 0.956302i | \(-0.405552\pi\) | ||||
0.292382 | + | 0.956302i | \(0.405552\pi\) | |||||||
\(8\) | −57.9951 | + | 171.478i | −0.320381 | + | 0.947289i | ||||
\(9\) | 413.986i | 1.70364i | ||||||||
\(10\) | 280.613 | + | 145.796i | 0.887376 | + | 0.461047i | ||||
\(11\) | 395.586 | + | 395.586i | 0.985732 | + | 0.985732i | 0.999900 | − | 0.0141676i | \(-0.00450983\pi\) |
−0.0141676 | + | 0.999900i | \(0.504510\pi\) | |||||||
\(12\) | 819.408 | − | 36.3881i | 1.64266 | − | 0.0729468i | ||||
\(13\) | −121.062 | − | 121.062i | −0.198678 | − | 0.198678i | 0.600755 | − | 0.799433i | \(-0.294867\pi\) |
−0.799433 | + | 0.600755i | \(0.794867\pi\) | |||||||
\(14\) | −392.463 | + | 172.862i | −0.535154 | + | 0.235711i | ||||
\(15\) | 155.396 | − | 1424.41i | 0.178324 | − | 1.63458i | ||||
\(16\) | −90.7681 | − | 1019.97i | −0.0886408 | − | 0.996064i | ||||
\(17\) | 1708.17i | 1.43354i | 0.697310 | + | 0.716770i | \(0.254380\pi\) | ||||
−0.697310 | + | 0.716770i | \(0.745620\pi\) | |||||||
\(18\) | −943.974 | − | 2143.18i | −0.686718 | − | 1.55911i | ||||
\(19\) | −508.967 | + | 508.967i | −0.323449 | + | 0.323449i | −0.850089 | − | 0.526640i | \(-0.823452\pi\) |
0.526640 | + | 0.850089i | \(0.323452\pi\) | |||||||
\(20\) | −1785.16 | − | 114.920i | −0.997934 | − | 0.0642424i | ||||
\(21\) | 1374.01 | + | 1374.01i | 0.679893 | + | 0.679893i | ||||
\(22\) | −2949.94 | − | 1145.90i | −1.29944 | − | 0.504767i | ||||
\(23\) | 3860.59 | 1.52172 | 0.760858 | − | 0.648919i | \(-0.224778\pi\) | ||||
0.760858 | + | 0.648919i | \(0.224778\pi\) | |||||||
\(24\) | −4159.05 | + | 2056.80i | −1.47389 | + | 0.728893i | ||||
\(25\) | −673.824 | + | 3051.49i | −0.215624 | + | 0.976477i | ||||
\(26\) | 902.776 | + | 350.683i | 0.261907 | + | 0.101738i | ||||
\(27\) | −3099.01 | + | 3099.01i | −0.818112 | + | 0.818112i | ||||
\(28\) | 1637.59 | − | 1789.79i | 0.394740 | − | 0.431428i | ||||
\(29\) | −2262.59 | + | 2262.59i | −0.499587 | + | 0.499587i | −0.911309 | − | 0.411722i | \(-0.864927\pi\) |
0.411722 | + | 0.911309i | \(0.364927\pi\) | |||||||
\(30\) | 2443.47 | + | 7728.39i | 0.495683 | + | 1.56778i | ||||
\(31\) | −4848.76 | −0.906205 | −0.453103 | − | 0.891458i | \(-0.649683\pi\) | ||||
−0.453103 | + | 0.891458i | \(0.649683\pi\) | |||||||
\(32\) | 2795.64 | + | 5073.34i | 0.482622 | + | 0.875829i | ||||
\(33\) | 14339.5i | 2.29218i | ||||||||
\(34\) | −3894.99 | − | 8843.11i | −0.577843 | − | 1.31192i | ||||
\(35\) | −2653.98 | − | 3303.97i | −0.366208 | − | 0.455896i | ||||
\(36\) | 9773.78 | + | 8942.62i | 1.25692 | + | 1.15003i | ||||
\(37\) | −7922.75 | + | 7922.75i | −0.951418 | + | 0.951418i | −0.998873 | − | 0.0474549i | \(-0.984889\pi\) |
0.0474549 | + | 0.998873i | \(0.484889\pi\) | |||||||
\(38\) | 1474.34 | − | 3795.44i | 0.165630 | − | 0.426386i | ||||
\(39\) | − | 4388.34i | − | 0.461997i | ||||||
\(40\) | 9503.69 | − | 3475.60i | 0.939166 | − | 0.343463i | ||||
\(41\) | − | 12485.9i | − | 1.16001i | −0.814613 | − | 0.580004i | \(-0.803051\pi\) | ||
0.814613 | − | 0.580004i | \(-0.196949\pi\) | |||||||
\(42\) | −10246.2 | − | 3980.12i | −0.896268 | − | 0.348155i | ||||
\(43\) | 8754.53 | − | 8754.53i | 0.722040 | − | 0.722040i | −0.246980 | − | 0.969021i | \(-0.579438\pi\) |
0.969021 | + | 0.246980i | \(0.0794382\pi\) | |||||||
\(44\) | 17884.5 | − | 794.213i | 1.39266 | − | 0.0618451i | ||||
\(45\) | 18042.4 | − | 14493.0i | 1.32820 | − | 1.06691i | ||||
\(46\) | −19986.0 | + | 8802.94i | −1.39262 | + | 0.613385i | ||||
\(47\) | 13310.3i | 0.878908i | 0.898265 | + | 0.439454i | \(0.144828\pi\) | ||||
−0.898265 | + | 0.439454i | \(0.855172\pi\) | |||||||
\(48\) | 16841.2 | − | 20131.4i | 1.05504 | − | 1.26116i | ||||
\(49\) | −11059.9 | −0.658051 | ||||||||
\(50\) | −3469.69 | − | 17333.8i | −0.196275 | − | 0.980549i | ||||
\(51\) | −30959.6 | + | 30959.6i | −1.66675 | + | 1.66675i | ||||
\(52\) | −5473.24 | + | 243.055i | −0.280696 | + | 0.0124651i | ||||
\(53\) | 10445.2 | − | 10445.2i | 0.510774 | − | 0.510774i | −0.403990 | − | 0.914764i | \(-0.632377\pi\) |
0.914764 | + | 0.403990i | \(0.132377\pi\) | |||||||
\(54\) | 8976.97 | − | 23109.7i | 0.418934 | − | 1.07848i | ||||
\(55\) | 3391.69 | − | 31089.3i | 0.151185 | − | 1.38581i | ||||
\(56\) | −4396.60 | + | 12999.7i | −0.187347 | + | 0.553941i | ||||
\(57\) | −18449.4 | −0.752134 | ||||||||
\(58\) | 6554.10 | − | 16872.5i | 0.255825 | − | 0.658580i | ||||
\(59\) | 26174.4 | + | 26174.4i | 0.978921 | + | 0.978921i | 0.999782 | − | 0.0208618i | \(-0.00664100\pi\) |
−0.0208618 | + | 0.999782i | \(0.506641\pi\) | |||||||
\(60\) | −30272.0 | − | 34437.7i | −1.08558 | − | 1.23497i | ||||
\(61\) | 37078.8 | − | 37078.8i | 1.27585 | − | 1.27585i | 0.332889 | − | 0.942966i | \(-0.391977\pi\) |
0.942966 | − | 0.332889i | \(-0.108023\pi\) | |||||||
\(62\) | 25101.7 | − | 11056.2i | 0.829324 | − | 0.365280i | ||||
\(63\) | 31384.2i | 0.996230i | ||||||||
\(64\) | −26041.1 | − | 19889.7i | −0.794713 | − | 0.606986i | ||||
\(65\) | −1037.97 | + | 9514.33i | −0.0304719 | + | 0.279315i | ||||
\(66\) | −32697.0 | − | 74234.6i | −0.923950 | − | 2.09771i | ||||
\(67\) | 17799.5 | + | 17799.5i | 0.484418 | + | 0.484418i | 0.906539 | − | 0.422122i | \(-0.138714\pi\) |
−0.422122 | + | 0.906539i | \(0.638714\pi\) | |||||||
\(68\) | 40328.3 | + | 36898.8i | 1.05764 | + | 0.967698i | ||||
\(69\) | 69970.7 | + | 69970.7i | 1.76927 | + | 1.76927i | ||||
\(70\) | 21273.2 | + | 11052.8i | 0.518906 | + | 0.269604i | ||||
\(71\) | − | 19815.3i | − | 0.466503i | −0.972416 | − | 0.233251i | \(-0.925063\pi\) | ||
0.972416 | − | 0.233251i | \(-0.0749365\pi\) | |||||||
\(72\) | −70989.3 | − | 24009.1i | −1.61384 | − | 0.545814i | ||||
\(73\) | 6581.86 | 0.144558 | 0.0722789 | − | 0.997384i | \(-0.476973\pi\) | ||||
0.0722789 | + | 0.997384i | \(0.476973\pi\) | |||||||
\(74\) | 22950.0 | − | 59081.1i | 0.487196 | − | 1.25421i | ||||
\(75\) | −67519.0 | + | 43093.7i | −1.38603 | + | 0.884627i | ||||
\(76\) | 1021.85 | + | 23010.5i | 0.0202933 | + | 0.456975i | ||||
\(77\) | 29989.3 | + | 29989.3i | 0.576421 | + | 0.576421i | ||||
\(78\) | 10006.3 | + | 22718.1i | 0.186225 | + | 0.422801i | ||||
\(79\) | −30328.6 | −0.546745 | −0.273373 | − | 0.961908i | \(-0.588139\pi\) | ||||
−0.273373 | + | 0.961908i | \(0.588139\pi\) | |||||||
\(80\) | −41274.9 | + | 39663.4i | −0.721043 | + | 0.692890i | ||||
\(81\) | −11736.6 | −0.198760 | ||||||||
\(82\) | 28470.5 | + | 64638.8i | 0.467585 | + | 1.06159i | ||||
\(83\) | 42.7319 | + | 42.7319i | 0.000680858 | + | 0.000680858i | 0.707447 | − | 0.706766i | \(-0.249847\pi\) |
−0.706766 | + | 0.707447i | \(0.749847\pi\) | |||||||
\(84\) | 62119.2 | − | 2758.58i | 0.960567 | − | 0.0426567i | ||||
\(85\) | 74446.1 | − | 59800.4i | 1.11762 | − | 0.897754i | ||||
\(86\) | −25359.5 | + | 65283.8i | −0.369738 | + | 0.951829i | ||||
\(87\) | −82016.1 | −1.16172 | ||||||||
\(88\) | −90776.1 | + | 44892.1i | −1.24958 | + | 0.617964i | ||||
\(89\) | 2809.87i | 0.0376020i | 0.999823 | + | 0.0188010i | \(0.00598489\pi\) | ||||
−0.999823 | + | 0.0188010i | \(0.994015\pi\) | |||||||
\(90\) | −60357.4 | + | 116170.i | −0.785461 | + | 1.51177i | ||||
\(91\) | −9177.69 | − | 9177.69i | −0.116180 | − | 0.116180i | ||||
\(92\) | 83393.6 | − | 91144.5i | 1.02722 | − | 1.12269i | ||||
\(93\) | −87880.7 | − | 87880.7i | −1.05363 | − | 1.05363i | ||||
\(94\) | −30350.3 | − | 68906.6i | −0.354277 | − | 0.804343i | ||||
\(95\) | 40000.0 | + | 4363.80i | 0.454728 | + | 0.0496085i | ||||
\(96\) | −41281.9 | + | 142620.i | −0.457174 | + | 1.57944i | ||||
\(97\) | − | 155990.i | − | 1.68332i | −0.540010 | − | 0.841659i | \(-0.681579\pi\) | ||
0.540010 | − | 0.841659i | \(-0.318421\pi\) | |||||||
\(98\) | 57256.2 | − | 25218.8i | 0.602223 | − | 0.265252i | ||||
\(99\) | −163767. | + | 163767.i | −1.67934 | + | 1.67934i | ||||
\(100\) | 57487.1 | + | 81824.4i | 0.574871 | + | 0.818244i | ||||
\(101\) | −53602.7 | − | 53602.7i | −0.522858 | − | 0.522858i | 0.395576 | − | 0.918433i | \(-0.370545\pi\) |
−0.918433 | + | 0.395576i | \(0.870545\pi\) | |||||||
\(102\) | 89681.4 | − | 230870.i | 0.853497 | − | 2.19719i | ||||
\(103\) | 129521. | 1.20295 | 0.601475 | − | 0.798892i | \(-0.294580\pi\) | ||||
0.601475 | + | 0.798892i | \(0.294580\pi\) | |||||||
\(104\) | 27780.4 | − | 13738.4i | 0.251858 | − | 0.124553i | ||||
\(105\) | 11780.5 | − | 107984.i | 0.104278 | − | 0.955843i | ||||
\(106\) | −30257.0 | + | 77891.6i | −0.261554 | + | 0.673327i | ||||
\(107\) | 28069.1 | − | 28069.1i | 0.237012 | − | 0.237012i | −0.578600 | − | 0.815611i | \(-0.696401\pi\) |
0.815611 | + | 0.578600i | \(0.196401\pi\) | |||||||
\(108\) | 6221.84 | + | 140107.i | 0.0513286 | + | 1.15585i | ||||
\(109\) | 70590.2 | − | 70590.2i | 0.569086 | − | 0.569086i | −0.362786 | − | 0.931872i | \(-0.618174\pi\) |
0.931872 | + | 0.362786i | \(0.118174\pi\) | |||||||
\(110\) | 53331.6 | + | 168681.i | 0.420245 | + | 1.32918i | ||||
\(111\) | −287190. | −2.21239 | ||||||||
\(112\) | −6881.12 | − | 77323.8i | −0.0518340 | − | 0.582462i | ||||
\(113\) | 181412.i | 1.33651i | 0.743934 | + | 0.668253i | \(0.232958\pi\) | ||||
−0.743934 | + | 0.668253i | \(0.767042\pi\) | |||||||
\(114\) | 95511.4 | − | 42068.5i | 0.688324 | − | 0.303176i | ||||
\(115\) | −135153. | − | 168253.i | −0.952973 | − | 1.18636i | ||||
\(116\) | 4542.58 | + | 102292.i | 0.0313442 | + | 0.705827i | ||||
\(117\) | 50117.9 | − | 50117.9i | 0.338476 | − | 0.338476i | ||||
\(118\) | −195187. | − | 75820.2i | −1.29046 | − | 0.501279i | ||||
\(119\) | 129497.i | 0.838283i | ||||||||
\(120\) | 235242. | + | 109255.i | 1.49129 | + | 0.692612i | ||||
\(121\) | 151925.i | 0.943335i | ||||||||
\(122\) | −107407. | + | 276502.i | −0.653331 | + | 1.68189i | ||||
\(123\) | 226300. | − | 226300.i | 1.34872 | − | 1.34872i | ||||
\(124\) | −104740. | + | 114474.i | −0.611725 | + | 0.668581i | ||||
\(125\) | 156580. | − | 77461.0i | 0.896318 | − | 0.443412i | ||||
\(126\) | −71562.5 | − | 162474.i | −0.401568 | − | 0.911712i | ||||
\(127\) | 86268.0i | 0.474614i | 0.971435 | + | 0.237307i | \(0.0762647\pi\) | ||||
−0.971435 | + | 0.237307i | \(0.923735\pi\) | |||||||
\(128\) | 180166. | + | 43588.5i | 0.971959 | + | 0.235151i | ||||
\(129\) | 317341. | 1.67900 | ||||||||
\(130\) | −16321.2 | − | 51621.8i | −0.0847019 | − | 0.267901i | ||||
\(131\) | 125035. | − | 125035.i | 0.636578 | − | 0.636578i | −0.313131 | − | 0.949710i | \(-0.601378\pi\) |
0.949710 | + | 0.313131i | \(0.101378\pi\) | |||||||
\(132\) | 338541. | + | 309751.i | 1.69113 | + | 1.54731i | ||||
\(133\) | −38584.7 | + | 38584.7i | −0.189141 | + | 0.189141i | ||||
\(134\) | −132733. | − | 51560.2i | −0.638583 | − | 0.248057i | ||||
\(135\) | 243553. | + | 26570.4i | 1.15016 | + | 0.125477i | ||||
\(136\) | −292914. | − | 99065.7i | −1.35798 | − | 0.459278i | ||||
\(137\) | −147926. | −0.673354 | −0.336677 | − | 0.941620i | \(-0.609303\pi\) | ||||
−0.336677 | + | 0.941620i | \(0.609303\pi\) | |||||||
\(138\) | −521781. | − | 202686.i | −2.33233 | − | 0.905995i | ||||
\(139\) | −285453. | − | 285453.i | −1.25313 | − | 1.25313i | −0.954308 | − | 0.298825i | \(-0.903405\pi\) |
−0.298825 | − | 0.954308i | \(-0.596595\pi\) | |||||||
\(140\) | −135333. | − | 8712.09i | −0.583556 | − | 0.0375666i | ||||
\(141\) | −241241. | + | 241241.i | −1.02189 | + | 1.02189i | ||||
\(142\) | 45183.0 | + | 102582.i | 0.188042 | + | 0.426925i | ||||
\(143\) | − | 95780.7i | − | 0.391686i | ||||||
\(144\) | 422253. | − | 37576.7i | 1.69694 | − | 0.151012i | ||||
\(145\) | 177818. | + | 19399.1i | 0.702355 | + | 0.0766235i | ||||
\(146\) | −34073.9 | + | 15008.0i | −0.132294 | + | 0.0582695i | ||||
\(147\) | −200453. | − | 200453.i | −0.765102 | − | 0.765102i | ||||
\(148\) | 15906.4 | + | 358190.i | 0.0596922 | + | 1.34418i | ||||
\(149\) | −70377.1 | − | 70377.1i | −0.259696 | − | 0.259696i | 0.565234 | − | 0.824931i | \(-0.308786\pi\) |
−0.824931 | + | 0.565234i | \(0.808786\pi\) | |||||||
\(150\) | 251279. | − | 377050.i | 0.911858 | − | 1.36827i | ||||
\(151\) | 365502.i | 1.30451i | 0.758000 | + | 0.652254i | \(0.226176\pi\) | ||||
−0.758000 | + | 0.652254i | \(0.773824\pi\) | |||||||
\(152\) | −57758.9 | − | 116794.i | −0.202773 | − | 0.410026i | ||||
\(153\) | −707160. | −2.44224 | ||||||||
\(154\) | −223635. | − | 86870.8i | −0.759866 | − | 0.295170i | ||||
\(155\) | 169747. | + | 211320.i | 0.567510 | + | 0.706498i | ||||
\(156\) | −103604. | − | 94793.8i | −0.340852 | − | 0.311866i | ||||
\(157\) | 195192. | + | 195192.i | 0.631994 | + | 0.631994i | 0.948568 | − | 0.316574i | \(-0.102533\pi\) |
−0.316574 | + | 0.948568i | \(0.602533\pi\) | |||||||
\(158\) | 157009. | − | 69155.6i | 0.500360 | − | 0.220386i | ||||
\(159\) | 378627. | 1.18773 | ||||||||
\(160\) | 123237. | − | 299450.i | 0.380575 | − | 0.924750i | ||||
\(161\) | 292671. | 0.889845 | ||||||||
\(162\) | 60759.4 | − | 26761.8i | 0.181897 | − | 0.0801176i | ||||
\(163\) | −297450. | − | 297450.i | −0.876890 | − | 0.876890i | 0.116322 | − | 0.993212i | \(-0.462890\pi\) |
−0.993212 | + | 0.116322i | \(0.962890\pi\) | |||||||
\(164\) | −294780. | − | 269712.i | −0.855832 | − | 0.783053i | ||||
\(165\) | 624947. | − | 502002.i | 1.78704 | − | 1.43548i | ||||
\(166\) | −318.658 | − | 123.783i | −0.000897541 | − | 0.000348650i | ||||
\(167\) | −209565. | −0.581471 | −0.290736 | − | 0.956803i | \(-0.593900\pi\) | ||||
−0.290736 | + | 0.956803i | \(0.593900\pi\) | |||||||
\(168\) | −315297. | + | 155926.i | −0.861880 | + | 0.426231i | ||||
\(169\) | − | 341981.i | − | 0.921054i | ||||||
\(170\) | −249045. | + | 479336.i | −0.660930 | + | 1.27209i | ||||
\(171\) | −210705. | − | 210705.i | −0.551042 | − | 0.551042i | ||||
\(172\) | −17576.4 | − | 395795.i | −0.0453010 | − | 1.02011i | ||||
\(173\) | −226462. | − | 226462.i | −0.575281 | − | 0.575281i | 0.358319 | − | 0.933599i | \(-0.383350\pi\) |
−0.933599 | + | 0.358319i | \(0.883350\pi\) | |||||||
\(174\) | 424592. | − | 187014.i | 1.06316 | − | 0.468274i | ||||
\(175\) | −51082.5 | + | 231333.i | −0.126089 | + | 0.571009i | ||||
\(176\) | 367579. | − | 439392.i | 0.894476 | − | 1.06923i | ||||
\(177\) | 948791.i | 2.27634i | ||||||||
\(178\) | −6407.08 | − | 14546.5i | −0.0151569 | − | 0.0344119i | ||||
\(179\) | 332063. | − | 332063.i | 0.774619 | − | 0.774619i | −0.204291 | − | 0.978910i | \(-0.565489\pi\) |
0.978910 | + | 0.204291i | \(0.0654890\pi\) | |||||||
\(180\) | 47575.3 | − | 739030.i | 0.109446 | − | 1.70013i | ||||
\(181\) | −567475. | − | 567475.i | −1.28751 | − | 1.28751i | −0.936295 | − | 0.351214i | \(-0.885769\pi\) |
−0.351214 | − | 0.936295i | \(-0.614231\pi\) | |||||||
\(182\) | 68439.3 | + | 26585.2i | 0.153154 | + | 0.0594925i | ||||
\(183\) | 1.34406e6 | 2.96682 | ||||||||
\(184\) | −223895. | + | 662004.i | −0.487528 | + | 1.44150i | ||||
\(185\) | 622654. | + | 67928.4i | 1.33757 | + | 0.145923i | ||||
\(186\) | 655339. | + | 254566.i | 1.38894 | + | 0.539534i | ||||
\(187\) | −675729. | + | 675729.i | −1.41309 | + | 1.41309i | ||||
\(188\) | 314243. | + | 287520.i | 0.648442 | + | 0.593299i | ||||
\(189\) | −234935. | + | 234935.i | −0.478403 | + | 0.478403i | ||||
\(190\) | −217028. | + | 68617.3i | −0.436146 | + | 0.137895i | ||||
\(191\) | 147312. | 0.292183 | 0.146092 | − | 0.989271i | \(-0.453331\pi\) | ||||
0.146092 | + | 0.989271i | \(0.453331\pi\) | |||||||
\(192\) | −111491. | − | 832468.i | −0.218266 | − | 1.62973i | ||||
\(193\) | 213679.i | 0.412923i | 0.978455 | + | 0.206461i | \(0.0661948\pi\) | ||||
−0.978455 | + | 0.206461i | \(0.933805\pi\) | |||||||
\(194\) | 355689. | + | 807547.i | 0.678525 | + | 1.54051i | ||||
\(195\) | −191254. | + | 153629.i | −0.360183 | + | 0.289325i | ||||
\(196\) | −238907. | + | 261112.i | −0.444211 | + | 0.485497i | ||||
\(197\) | 79771.2 | − | 79771.2i | 0.146447 | − | 0.146447i | −0.630082 | − | 0.776529i | \(-0.716979\pi\) |
0.776529 | + | 0.630082i | \(0.216979\pi\) | |||||||
\(198\) | 474387. | − | 1.22123e6i | 0.859944 | − | 2.21378i | ||||
\(199\) | − | 846754.i | − | 1.51574i | −0.652406 | − | 0.757870i | \(-0.726240\pi\) | ||
0.652406 | − | 0.757870i | \(-0.273760\pi\) | |||||||
\(200\) | −484184. | − | 292517.i | −0.855924 | − | 0.517102i | ||||
\(201\) | 645208.i | 1.12644i | ||||||||
\(202\) | 399723. | + | 155272.i | 0.689257 | + | 0.267742i | ||||
\(203\) | −171527. | + | 171527.i | −0.292141 | + | 0.292141i | ||||
\(204\) | 62157.2 | + | 1.39969e6i | 0.104572 | + | 2.35482i | ||||
\(205\) | −544165. | + | 437112.i | −0.904369 | + | 0.726454i | ||||
\(206\) | −670522. | + | 295335.i | −1.10089 | + | 0.484894i | ||||
\(207\) | 1.59823e6i | 2.59246i | ||||||||
\(208\) | −112491. | + | 134468.i | −0.180285 | + | 0.215507i | ||||
\(209\) | −402680. | −0.637668 | ||||||||
\(210\) | 185239. | + | 585889.i | 0.289858 | + | 0.916783i | ||||
\(211\) | 324835. | − | 324835.i | 0.502293 | − | 0.502293i | −0.409857 | − | 0.912150i | \(-0.634421\pi\) |
0.912150 | + | 0.409857i | \(0.134421\pi\) | |||||||
\(212\) | −20970.8 | − | 472232.i | −0.0320461 | − | 0.721632i | ||||
\(213\) | 359139. | − | 359139.i | 0.542393 | − | 0.542393i | ||||
\(214\) | −81308.5 | + | 209315.i | −0.121367 | + | 0.312440i | ||||
\(215\) | −688024. | − | 75060.0i | −1.01510 | − | 0.110742i | ||||
\(216\) | −351683. | − | 711137.i | −0.512882 | − | 1.03710i | ||||
\(217\) | −367584. | −0.529916 | ||||||||
\(218\) | −204480. | + | 526401.i | −0.291414 | + | 0.750197i | ||||
\(219\) | 119292. | + | 119292.i | 0.168074 | + | 0.168074i | ||||
\(220\) | −660723. | − | 751644.i | −0.920370 | − | 1.04702i | ||||
\(221\) | 206795. | − | 206795.i | 0.284812 | − | 0.284812i | ||||
\(222\) | 1.48676e6 | − | 654852.i | 2.02469 | − | 0.891787i | ||||
\(223\) | 285532.i | 0.384496i | 0.981346 | + | 0.192248i | \(0.0615778\pi\) | ||||
−0.981346 | + | 0.192248i | \(0.938422\pi\) | |||||||
\(224\) | 211937. | + | 384610.i | 0.282220 | + | 0.512153i | ||||
\(225\) | −1.26327e6 | − | 278953.i | −1.66357 | − | 0.367346i | ||||
\(226\) | −413658. | − | 939160.i | −0.538729 | − | 1.22312i | ||||
\(227\) | −767705. | − | 767705.i | −0.988849 | − | 0.988849i | 0.0110897 | − | 0.999939i | \(-0.496470\pi\) |
−0.999939 | + | 0.0110897i | \(0.996470\pi\) | |||||||
\(228\) | −398531. | + | 435572.i | −0.507721 | + | 0.554910i | ||||
\(229\) | 425119. | + | 425119.i | 0.535700 | + | 0.535700i | 0.922263 | − | 0.386563i | \(-0.126338\pi\) |
−0.386563 | + | 0.922263i | \(0.626338\pi\) | |||||||
\(230\) | 1.08333e6 | + | 562858.i | 1.35033 | + | 0.701583i | ||||
\(231\) | 1.08707e6i | 1.34038i | ||||||||
\(232\) | −256765. | − | 519203.i | −0.313195 | − | 0.633311i | ||||
\(233\) | −530468. | −0.640131 | −0.320066 | − | 0.947395i | \(-0.603705\pi\) | ||||
−0.320066 | + | 0.947395i | \(0.603705\pi\) | |||||||
\(234\) | −145178. | + | 373736.i | −0.173325 | + | 0.446196i | ||||
\(235\) | 580093. | − | 465973.i | 0.685217 | − | 0.550416i | ||||
\(236\) | 1.18335e6 | − | 52550.1i | 1.38304 | − | 0.0614177i | ||||
\(237\) | −549687. | − | 549687.i | −0.635689 | − | 0.635689i | ||||
\(238\) | −295279. | − | 670395.i | −0.337902 | − | 0.767164i | ||||
\(239\) | −180828. | −0.204772 | −0.102386 | − | 0.994745i | \(-0.532648\pi\) | ||||
−0.102386 | + | 0.994745i | \(0.532648\pi\) | |||||||
\(240\) | −1.46696e6 | − | 29208.0i | −1.64395 | − | 0.0327321i | ||||
\(241\) | 170927. | 0.189569 | 0.0947846 | − | 0.995498i | \(-0.469784\pi\) | ||||
0.0947846 | + | 0.995498i | \(0.469784\pi\) | |||||||
\(242\) | −346421. | − | 786506.i | −0.380247 | − | 0.863304i | ||||
\(243\) | 540341. | + | 540341.i | 0.587019 | + | 0.587019i | ||||
\(244\) | −74442.7 | − | 1.67634e6i | −0.0800475 | − | 1.80255i | ||||
\(245\) | 387188. | + | 482013.i | 0.412104 | + | 0.513031i | ||||
\(246\) | −655528. | + | 1.68755e6i | −0.690642 | + | 1.77795i | ||||
\(247\) | 123233. | 0.128524 | ||||||||
\(248\) | 281204. | − | 831454.i | 0.290330 | − | 0.858438i | ||||
\(249\) | 1548.98i | 0.00158324i | ||||||||
\(250\) | −633978. | + | 758046.i | −0.641541 | + | 0.767089i | ||||
\(251\) | 1.32474e6 | + | 1.32474e6i | 1.32723 | + | 1.32723i | 0.907774 | + | 0.419460i | \(0.137781\pi\) |
0.419460 | + | 0.907774i | \(0.362219\pi\) | |||||||
\(252\) | 740949. | + | 677939.i | 0.735000 | + | 0.672496i | ||||
\(253\) | 1.52719e6 | + | 1.52719e6i | 1.50000 | + | 1.50000i | ||||
\(254\) | −196709. | − | 446604.i | −0.191311 | − | 0.434348i | ||||
\(255\) | 2.43313e6 | + | 265443.i | 2.34323 | + | 0.255635i | ||||
\(256\) | −1.03210e6 | + | 185161.i | −0.984286 | + | 0.176584i | ||||
\(257\) | 732158.i | 0.691468i | 0.938333 | + | 0.345734i | \(0.112370\pi\) | ||||
−0.938333 | + | 0.345734i | \(0.887630\pi\) | |||||||
\(258\) | −1.64285e6 | + | 723603.i | −1.53656 | + | 0.676785i | ||||
\(259\) | −600623. | + | 600623.i | −0.556356 | + | 0.556356i | ||||
\(260\) | 202202. | + | 230027.i | 0.185504 | + | 0.211031i | ||||
\(261\) | −936680. | − | 936680.i | −0.851118 | − | 0.851118i | ||||
\(262\) | −362191. | + | 932401.i | −0.325975 | + | 0.839169i | ||||
\(263\) | −224636. | −0.200258 | −0.100129 | − | 0.994974i | \(-0.531926\pi\) | ||||
−0.100129 | + | 0.994974i | \(0.531926\pi\) | |||||||
\(264\) | −2.45890e6 | − | 831619.i | −2.17136 | − | 0.734370i | ||||
\(265\) | −820898. | − | 89555.9i | −0.718083 | − | 0.0783393i | ||||
\(266\) | 111769. | − | 287732.i | 0.0968542 | − | 0.249335i | ||||
\(267\) | −50927.0 | + | 50927.0i | −0.0437190 | + | 0.0437190i | ||||
\(268\) | 804719. | − | 35735.8i | 0.684395 | − | 0.0303925i | ||||
\(269\) | 372042. | − | 372042.i | 0.313481 | − | 0.313481i | −0.532776 | − | 0.846257i | \(-0.678851\pi\) |
0.846257 | + | 0.532776i | \(0.178851\pi\) | |||||||
\(270\) | −1.32144e6 | + | 417798.i | −1.10316 | + | 0.348784i | ||||
\(271\) | −611282. | −0.505613 | −0.252807 | − | 0.967517i | \(-0.581354\pi\) | ||||
−0.252807 | + | 0.967517i | \(0.581354\pi\) | |||||||
\(272\) | 1.74229e6 | − | 155048.i | 1.42790 | − | 0.127070i | ||||
\(273\) | − | 332680.i | − | 0.270159i | ||||||
\(274\) | 765803. | − | 337302.i | 0.616227 | − | 0.271421i | ||||
\(275\) | −1.47368e6 | + | 940570.i | −1.17509 | + | 0.749997i | ||||
\(276\) | 3.16339e6 | − | 140479.i | 2.49966 | − | 0.111004i | ||||
\(277\) | 779074. | − | 779074.i | 0.610069 | − | 0.610069i | −0.332895 | − | 0.942964i | \(-0.608025\pi\) |
0.942964 | + | 0.332895i | \(0.108025\pi\) | |||||||
\(278\) | 2.12866e6 | + | 826878.i | 1.65194 | + | 0.641696i | ||||
\(279\) | − | 2.00732e6i | − | 1.54385i | ||||||
\(280\) | 720474. | − | 263485.i | 0.549191 | − | 0.200845i | ||||
\(281\) | 815230.i | 0.615906i | 0.951402 | + | 0.307953i | \(0.0996439\pi\) | ||||
−0.951402 | + | 0.307953i | \(0.900356\pi\) | |||||||
\(282\) | 698809. | − | 1.79897e6i | 0.523282 | − | 1.34710i | ||||
\(283\) | 1.30250e6 | − | 1.30250e6i | 0.966741 | − | 0.966741i | −0.0327233 | − | 0.999464i | \(-0.510418\pi\) |
0.999464 | + | 0.0327233i | \(0.0104180\pi\) | |||||||
\(284\) | −467819. | − | 428036.i | −0.344177 | − | 0.314908i | ||||
\(285\) | 645884. | + | 804067.i | 0.471023 | + | 0.586381i | ||||
\(286\) | 218400. | + | 495850.i | 0.157884 | + | 0.358456i | ||||
\(287\) | − | 946557.i | − | 0.678332i | ||||||
\(288\) | −2.10029e6 | + | 1.15736e6i | −1.49210 | + | 0.822216i | ||||
\(289\) | −1.49800e6 | −1.05504 | ||||||||
\(290\) | −964788. | + | 305035.i | −0.673654 | + | 0.212988i | ||||
\(291\) | 2.82721e6 | − | 2.82721e6i | 1.95716 | − | 1.95716i | ||||
\(292\) | 142177. | − | 155391.i | 0.0975824 | − | 0.106652i | ||||
\(293\) | −371718. | + | 371718.i | −0.252955 | + | 0.252955i | −0.822181 | − | 0.569226i | \(-0.807243\pi\) |
0.569226 | + | 0.822181i | \(0.307243\pi\) | |||||||
\(294\) | 1.49481e6 | + | 580657.i | 1.00859 | + | 0.391788i | ||||
\(295\) | 224416. | − | 2.05707e6i | 0.150141 | − | 1.37624i | ||||
\(296\) | −899094. | − | 1.81805e6i | −0.596452 | − | 1.20608i | ||||
\(297\) | −2.45184e6 | −1.61288 | ||||||||
\(298\) | 524812. | + | 203863.i | 0.342345 | + | 0.132984i | ||||
\(299\) | −467370. | − | 467370.i | −0.302331 | − | 0.302331i | ||||
\(300\) | −441099. | + | 2.52493e6i | −0.282965 | + | 1.61975i | ||||
\(301\) | 663680. | − | 663680.i | 0.422223 | − | 0.422223i | ||||
\(302\) | −833420. | − | 1.89218e6i | −0.525831 | − | 1.19384i | ||||
\(303\) | − | 1.94303e6i | − | 1.21583i | ||||||
\(304\) | 565328. | + | 472932.i | 0.350846 | + | 0.293505i | ||||
\(305\) | −2.91405e6 | − | 317908.i | −1.79369 | − | 0.195683i | ||||
\(306\) | 3.66092e6 | − | 1.61247e6i | 2.23505 | − | 0.984438i | ||||
\(307\) | −1.01188e6 | − | 1.01188e6i | −0.612750 | − | 0.612750i | 0.330912 | − | 0.943662i | \(-0.392644\pi\) |
−0.943662 | + | 0.330912i | \(0.892644\pi\) | |||||||
\(308\) | 1.35583e6 | − | 60209.2i | 0.814380 | − | 0.0361648i | ||||
\(309\) | 2.34749e6 | + | 2.34749e6i | 1.39864 | + | 1.39864i | ||||
\(310\) | −1.36062e6 | − | 706930.i | −0.804144 | − | 0.417803i | ||||
\(311\) | − | 1.79315e6i | − | 1.05127i | −0.850709 | − | 0.525637i | \(-0.823827\pi\) | ||
0.850709 | − | 0.525637i | \(-0.176173\pi\) | |||||||
\(312\) | 752502. | + | 254502.i | 0.437644 | + | 0.148015i | ||||
\(313\) | 2.85796e6 | 1.64890 | 0.824451 | − | 0.565934i | \(-0.191484\pi\) | ||||
0.824451 | + | 0.565934i | \(0.191484\pi\) | |||||||
\(314\) | −1.45557e6 | − | 565417.i | −0.833125 | − | 0.323627i | ||||
\(315\) | 1.36779e6 | − | 1.09871e6i | 0.776684 | − | 0.623889i | ||||
\(316\) | −655138. | + | 716028.i | −0.369075 | + | 0.403378i | ||||
\(317\) | −883408. | − | 883408.i | −0.493757 | − | 0.493757i | 0.415731 | − | 0.909488i | \(-0.363526\pi\) |
−0.909488 | + | 0.415731i | \(0.863526\pi\) | |||||||
\(318\) | −1.96013e6 | + | 863348.i | −1.08697 | + | 0.478760i | ||||
\(319\) | −1.79010e6 | −0.984918 | ||||||||
\(320\) | 44820.5 | + | 1.83124e6i | 0.0244682 | + | 0.999701i | ||||
\(321\) | 1.01747e6 | 0.551137 | ||||||||
\(322\) | −1.51514e6 | + | 667350.i | −0.814352 | + | 0.358686i | ||||
\(323\) | −869404. | − | 869404.i | −0.463677 | − | 0.463677i | ||||
\(324\) | −253525. | + | 277088.i | −0.134171 | + | 0.146641i | ||||
\(325\) | 450993. | − | 287845.i | 0.236844 | − | 0.151164i | ||||
\(326\) | 2.21813e6 | + | 861631.i | 1.15596 | + | 0.449032i | ||||
\(327\) | 2.55881e6 | 1.32333 | ||||||||
\(328\) | 2.14106e6 | + | 724122.i | 1.09886 | + | 0.371644i | ||||
\(329\) | 1.00905e6i | 0.513954i | ||||||||
\(330\) | −2.09064e6 | + | 4.02384e6i | −1.05680 | + | 2.03402i | ||||
\(331\) | 44182.7 | + | 44182.7i | 0.0221657 | + | 0.0221657i | 0.718103 | − | 0.695937i | \(-0.245011\pi\) |
−0.695937 | + | 0.718103i | \(0.745011\pi\) | |||||||
\(332\) | 1931.92 | − | 85.7923i | 0.000961931 | − | 4.27172e-5i | ||||
\(333\) | −3.27990e6 | − | 3.27990e6i | −1.62088 | − | 1.62088i | ||||
\(334\) | 1.08491e6 | − | 477853.i | 0.532140 | − | 0.234384i | ||||
\(335\) | 152610. | − | 1.39887e6i | 0.0742969 | − | 0.681029i | ||||
\(336\) | 1.27673e6 | − | 1.52616e6i | 0.616951 | − | 0.737483i | ||||
\(337\) | 3.44388e6i | 1.65186i | 0.563772 | + | 0.825931i | \(0.309350\pi\) | ||||
−0.563772 | + | 0.825931i | \(0.690650\pi\) | |||||||
\(338\) | 779788. | + | 1.77041e6i | 0.371266 | + | 0.842913i | ||||
\(339\) | −3.28798e6 | + | 3.28798e6i | −1.55393 | + | 1.55393i | ||||
\(340\) | 196304. | − | 3.04936e6i | 0.0920940 | − | 1.43058i | ||||
\(341\) | −1.91810e6 | − | 1.91810e6i | −0.893275 | − | 0.893275i | ||||
\(342\) | 1.57126e6 | + | 610354.i | 0.726410 | + | 0.282174i | ||||
\(343\) | −2.11258e6 | −0.969569 | ||||||||
\(344\) | 993486. | + | 2.00892e6i | 0.452653 | + | 0.915309i | ||||
\(345\) | 599918. | − | 5.49904e6i | 0.271359 | − | 2.48736i | ||||
\(346\) | 1.68876e6 | + | 655998.i | 0.758363 | + | 0.294586i | ||||
\(347\) | −1.34939e6 | + | 1.34939e6i | −0.601609 | + | 0.601609i | −0.940739 | − | 0.339131i | \(-0.889867\pi\) |
0.339131 | + | 0.940739i | \(0.389867\pi\) | |||||||
\(348\) | −1.77165e6 | + | 1.93632e6i | −0.784207 | + | 0.857093i | ||||
\(349\) | 250676. | − | 250676.i | 0.110166 | − | 0.110166i | −0.649875 | − | 0.760041i | \(-0.725179\pi\) |
0.760041 | + | 0.649875i | \(0.225179\pi\) | |||||||
\(350\) | −263037. | − | 1.31408e6i | −0.114775 | − | 0.573390i | ||||
\(351\) | 750343. | 0.325081 | ||||||||
\(352\) | −901025. | + | 3.11286e6i | −0.387597 | + | 1.33907i | ||||
\(353\) | − | 1.50374e6i | − | 0.642297i | −0.947029 | − | 0.321148i | \(-0.895931\pi\) | ||
0.947029 | − | 0.321148i | \(-0.104069\pi\) | |||||||
\(354\) | −2.16344e6 | − | 4.91183e6i | −0.917565 | − | 2.08322i | ||||
\(355\) | −863594. | + | 693701.i | −0.363696 | + | 0.292147i | ||||
\(356\) | 66338.1 | + | 60696.7i | 0.0277420 | + | 0.0253828i | ||||
\(357\) | −2.34704e6 | + | 2.34704e6i | −0.974654 | + | 0.974654i | ||||
\(358\) | −961896. | + | 2.47624e6i | −0.396662 | + | 1.02114i | ||||
\(359\) | 3.76954e6i | 1.54366i | 0.635827 | + | 0.771831i | \(0.280659\pi\) | ||||
−0.635827 | + | 0.771831i | \(0.719341\pi\) | |||||||
\(360\) | 1.43885e6 | + | 3.93439e6i | 0.585139 | + | 1.60001i | ||||
\(361\) | 1.95800e6i | 0.790762i | ||||||||
\(362\) | 4.23174e6 | + | 1.64382e6i | 1.69726 | + | 0.659299i | ||||
\(363\) | −2.75355e6 | + | 2.75355e6i | −1.09680 | + | 1.09680i | ||||
\(364\) | −414926. | + | 18425.9i | −0.164141 | + | 0.00728914i | ||||
\(365\) | −230420. | − | 286852.i | −0.0905293 | − | 0.112701i | ||||
\(366\) | −6.95811e6 | + | 3.06474e6i | −2.71512 | + | 1.19589i | ||||
\(367\) | 1.61984e6i | 0.627780i | 0.949459 | + | 0.313890i | \(0.101632\pi\) | ||||
−0.949459 | + | 0.313890i | \(0.898368\pi\) | |||||||
\(368\) | −350418. | − | 3.93768e6i | −0.134886 | − | 1.51573i | ||||
\(369\) | 5.16899e6 | 1.97624 | ||||||||
\(370\) | −3.37833e6 | + | 1.06812e6i | −1.28291 | + | 0.405617i | ||||
\(371\) | 791853. | − | 791853.i | 0.298682 | − | 0.298682i | ||||
\(372\) | −3.97311e6 | + | 176437.i | −1.48858 | + | 0.0661047i | ||||
\(373\) | 3.17324e6 | − | 3.17324e6i | 1.18095 | − | 1.18095i | 0.201448 | − | 0.979499i | \(-0.435435\pi\) |
0.979499 | − | 0.201448i | \(-0.0645647\pi\) | |||||||
\(374\) | 1.95740e6 | − | 5.03901e6i | 0.723604 | − | 1.86280i | ||||
\(375\) | 4.24185e6 | + | 1.43399e6i | 1.55768 | + | 0.526583i | ||||
\(376\) | −2.28242e6 | − | 771932.i | −0.832580 | − | 0.281585i | ||||
\(377\) | 547827. | 0.198513 | ||||||||
\(378\) | 680543. | − | 1.75195e6i | 0.244977 | − | 0.630654i | ||||
\(379\) | −1.01539e6 | − | 1.01539e6i | −0.363108 | − | 0.363108i | 0.501848 | − | 0.864956i | \(-0.332654\pi\) |
−0.864956 | + | 0.501848i | \(0.832654\pi\) | |||||||
\(380\) | 967077. | − | 850096.i | 0.343560 | − | 0.302001i | ||||
\(381\) | −1.56355e6 | + | 1.56355e6i | −0.551823 | + | 0.551823i | ||||
\(382\) | −762625. | + | 335902.i | −0.267395 | + | 0.117775i | ||||
\(383\) | 2.13689e6i | 0.744362i | 0.928160 | + | 0.372181i | \(0.121390\pi\) | ||||
−0.928160 | + | 0.372181i | \(0.878610\pi\) | |||||||
\(384\) | 2.47538e6 | + | 4.05541e6i | 0.856671 | + | 1.40348i | ||||
\(385\) | 257124. | − | 2.35688e6i | 0.0884078 | − | 0.810374i | ||||
\(386\) | −487233. | − | 1.10620e6i | −0.166444 | − | 0.377891i | ||||
\(387\) | 3.62425e6 | + | 3.62425e6i | 1.23010 | + | 1.23010i | ||||
\(388\) | −3.68275e6 | − | 3.36958e6i | −1.24192 | − | 1.13631i | ||||
\(389\) | 787350. | + | 787350.i | 0.263812 | + | 0.263812i | 0.826601 | − | 0.562789i | \(-0.190272\pi\) |
−0.562789 | + | 0.826601i | \(0.690272\pi\) | |||||||
\(390\) | 639802. | − | 1.23142e6i | 0.213002 | − | 0.409964i | ||||
\(391\) | 6.59455e6i | 2.18144i | ||||||||
\(392\) | 641417. | − | 1.89652e6i | 0.210827 | − | 0.623364i | ||||
\(393\) | 4.53235e6 | 1.48027 | ||||||||
\(394\) | −231075. | + | 594865.i | −0.0749916 | + | 0.193054i | ||||
\(395\) | 1.06176e6 | + | 1.32179e6i | 0.342399 | + | 0.426255i | ||||
\(396\) | 328793. | + | 7.40394e6i | 0.105362 | + | 2.37260i | ||||
\(397\) | 2.18405e6 | + | 2.18405e6i | 0.695482 | + | 0.695482i | 0.963433 | − | 0.267951i | \(-0.0863465\pi\) |
−0.267951 | + | 0.963433i | \(0.586347\pi\) | |||||||
\(398\) | 1.93078e6 | + | 4.38359e6i | 0.610976 | + | 1.38715i | ||||
\(399\) | −1.39865e6 | −0.439821 | ||||||||
\(400\) | 3.17359e6 | + | 410302.i | 0.991746 | + | 0.128219i | ||||
\(401\) | 5.54165e6 | 1.72099 | 0.860495 | − | 0.509460i | \(-0.170155\pi\) | ||||
0.860495 | + | 0.509460i | \(0.170155\pi\) | |||||||
\(402\) | −1.47121e6 | − | 3.34020e6i | −0.454056 | − | 1.03088i | ||||
\(403\) | 587000. | + | 587000.i | 0.180043 | + | 0.180043i | ||||
\(404\) | −2.42339e6 | + | 107618.i | −0.738704 | + | 0.0328042i | ||||
\(405\) | 410878. | + | 511506.i | 0.124473 | + | 0.154958i | ||||
\(406\) | 496866. | − | 1.27910e6i | 0.149597 | − | 0.385114i | ||||
\(407\) | −6.26825e6 | −1.87569 | ||||||||
\(408\) | −3.51337e6 | − | 7.10438e6i | −1.04490 | − | 2.11288i | ||||
\(409\) | 5.62401e6i | 1.66241i | 0.555966 | + | 0.831205i | \(0.312348\pi\) | ||||
−0.555966 | + | 0.831205i | \(0.687652\pi\) | |||||||
\(410\) | 1.82040e6 | − | 3.50371e6i | 0.534819 | − | 1.02936i | ||||
\(411\) | −2.68107e6 | − | 2.68107e6i | −0.782894 | − | 0.782894i | ||||
\(412\) | 2.79782e6 | − | 3.05786e6i | 0.812039 | − | 0.887513i | ||||
\(413\) | 1.98428e6 | + | 1.98428e6i | 0.572438 | + | 0.572438i | ||||
\(414\) | −3.64429e6 | − | 8.27391e6i | −1.04499 | − | 2.37252i | ||||
\(415\) | 366.377 | − | 3358.33i | 0.000104426 | − | 0.000957200i | ||||
\(416\) | 275743. | − | 952634.i | 0.0781215 | − | 0.269894i | ||||
\(417\) | − | 1.03473e7i | − | 2.91398i | ||||||
\(418\) | 2.08465e6 | − | 918195.i | 0.583569 | − | 0.257036i | ||||
\(419\) | 606666. | − | 606666.i | 0.168816 | − | 0.168816i | −0.617643 | − | 0.786459i | \(-0.711912\pi\) |
0.786459 | + | 0.617643i | \(0.211912\pi\) | |||||||
\(420\) | −2.29492e6 | − | 2.61072e6i | −0.634811 | − | 0.722167i | ||||
\(421\) | −2.51245e6 | − | 2.51245e6i | −0.690863 | − | 0.690863i | 0.271559 | − | 0.962422i | \(-0.412461\pi\) |
−0.962422 | + | 0.271559i | \(0.912461\pi\) | |||||||
\(422\) | −940958. | + | 2.42234e6i | −0.257211 | + | 0.662147i | ||||
\(423\) | −5.51028e6 | −1.49735 | ||||||||
\(424\) | 1.18535e6 | + | 2.39690e6i | 0.320208 | + | 0.647492i | ||||
\(425\) | −5.21248e6 | − | 1.15101e6i | −1.39982 | − | 0.309105i | ||||
\(426\) | −1.04033e6 | + | 2.67815e6i | −0.277745 | + | 0.715009i | ||||
\(427\) | 2.81094e6 | − | 2.81094e6i | 0.746074 | − | 0.746074i | ||||
\(428\) | −56354.1 | − | 1.26901e6i | −0.0148702 | − | 0.334855i | ||||
\(429\) | 1.73596e6 | − | 1.73596e6i | 0.455405 | − | 0.455405i | ||||
\(430\) | 3.73301e6 | − | 1.18026e6i | 0.973616 | − | 0.307826i | ||||
\(431\) | −7.07026e6 | −1.83334 | −0.916668 | − | 0.399649i | \(-0.869132\pi\) | ||||
−0.916668 | + | 0.399649i | \(0.869132\pi\) | |||||||
\(432\) | 3.44218e6 | + | 2.87960e6i | 0.887410 | + | 0.742374i | ||||
\(433\) | 1.34061e6i | 0.343624i | 0.985130 | + | 0.171812i | \(0.0549621\pi\) | ||||
−0.985130 | + | 0.171812i | \(0.945038\pi\) | |||||||
\(434\) | 1.90296e6 | − | 838168.i | 0.484959 | − | 0.213603i | ||||
\(435\) | 2.87125e6 | + | 3.57444e6i | 0.727525 | + | 0.905702i | ||||
\(436\) | −141723. | − | 3.19140e6i | −0.0357046 | − | 0.804017i | ||||
\(437\) | −1.96491e6 | + | 1.96491e6i | −0.492197 | + | 0.492197i | ||||
\(438\) | −889578. | − | 345557.i | −0.221564 | − | 0.0860664i | ||||
\(439\) | − | 3.61051e6i | − | 0.894143i | −0.894498 | − | 0.447072i | \(-0.852467\pi\) | ||
0.894498 | − | 0.447072i | \(-0.147533\pi\) | |||||||
\(440\) | 5.13442e6 | + | 2.38463e6i | 1.26433 | + | 0.587204i | ||||
\(441\) | − | 4.57862e6i | − | 1.12108i | ||||||
\(442\) | −599028. | + | 1.54210e6i | −0.145845 | + | 0.375454i | ||||
\(443\) | −3.85627e6 | + | 3.85627e6i | −0.933594 | + | 0.933594i | −0.997928 | − | 0.0643341i | \(-0.979508\pi\) |
0.0643341 | + | 0.997928i | \(0.479508\pi\) | |||||||
\(444\) | −6.20367e6 | + | 6.78026e6i | −1.49345 | + | 1.63226i | ||||
\(445\) | 122460. | − | 98368.9i | 0.0293154 | − | 0.0235482i | ||||
\(446\) | −651072. | − | 1.47818e6i | −0.154986 | − | 0.351876i | ||||
\(447\) | − | 2.55108e6i | − | 0.603887i | ||||||
\(448\) | −1.97418e6 | − | 1.50784e6i | −0.464720 | − | 0.354944i | ||||
\(449\) | 2.13218e6 | 0.499123 | 0.249561 | − | 0.968359i | \(-0.419714\pi\) | ||||
0.249561 | + | 0.968359i | \(0.419714\pi\) | |||||||
\(450\) | 7.17595e6 | − | 1.43640e6i | 1.67051 | − | 0.334383i | ||||
\(451\) | 4.93925e6 | − | 4.93925e6i | 1.14346 | − | 1.14346i | ||||
\(452\) | 4.28296e6 | + | 3.91874e6i | 0.986048 | + | 0.902195i | ||||
\(453\) | −6.62448e6 | + | 6.62448e6i | −1.51672 | + | 1.51672i | ||||
\(454\) | 5.72489e6 | + | 2.22383e6i | 1.30355 | + | 0.506363i | ||||
\(455\) | −78688.1 | + | 721280.i | −0.0178189 | + | 0.163334i | ||||
\(456\) | 1.06997e6 | − | 3.16366e6i | 0.240969 | − | 0.712488i | ||||
\(457\) | 667772. | 0.149568 | 0.0747838 | − | 0.997200i | \(-0.476173\pi\) | ||||
0.0747838 | + | 0.997200i | \(0.476173\pi\) | |||||||
\(458\) | −3.17017e6 | − | 1.23145e6i | −0.706186 | − | 0.274318i | ||||
\(459\) | −5.29364e6 | − | 5.29364e6i | −1.17280 | − | 1.17280i | ||||
\(460\) | −6.89176e6 | − | 443659.i | −1.51857 | − | 0.0977586i | ||||
\(461\) | 651198. | − | 651198.i | 0.142712 | − | 0.142712i | −0.632141 | − | 0.774853i | \(-0.717824\pi\) |
0.774853 | + | 0.632141i | \(0.217824\pi\) | |||||||
\(462\) | −2.47876e6 | − | 5.62772e6i | −0.540293 | − | 1.22667i | ||||
\(463\) | − | 481339.i | − | 0.104352i | −0.998638 | − | 0.0521758i | \(-0.983384\pi\) | ||
0.998638 | − | 0.0521758i | \(-0.0166156\pi\) | |||||||
\(464\) | 2.51314e6 | + | 2.10240e6i | 0.541904 | + | 0.453337i | ||||
\(465\) | −753476. | + | 6.90660e6i | −0.161598 | + | 1.48126i | ||||
\(466\) | 2.74620e6 | − | 1.20958e6i | 0.585824 | − | 0.258029i | ||||
\(467\) | 2.35241e6 | + | 2.35241e6i | 0.499138 | + | 0.499138i | 0.911170 | − | 0.412031i | \(-0.135181\pi\) |
−0.412031 | + | 0.911170i | \(0.635181\pi\) | |||||||
\(468\) | −100621. | − | 2.26584e6i | −0.0212361 | − | 0.478206i | ||||
\(469\) | 1.34938e6 | + | 1.34938e6i | 0.283270 | + | 0.283270i | ||||
\(470\) | −1.94059e6 | + | 3.73504e6i | −0.405218 | + | 0.779922i | ||||
\(471\) | 7.07546e6i | 1.46961i | ||||||||
\(472\) | −6.00632e6 | + | 2.97034e6i | −1.24095 | + | 0.613694i | ||||
\(473\) | 6.92633e6 | 1.42348 | ||||||||
\(474\) | 4.09910e6 | + | 1.59229e6i | 0.837997 | + | 0.325520i | ||||
\(475\) | −1.21015e6 | − | 1.89606e6i | −0.246097 | − | 0.385583i | ||||
\(476\) | 3.05728e6 | + | 2.79729e6i | 0.618469 | + | 0.565875i | ||||
\(477\) | 4.32418e6 | + | 4.32418e6i | 0.870177 | + | 0.870177i | ||||
\(478\) | 936133. | − | 412325.i | 0.187399 | − | 0.0825410i | ||||
\(479\) | −6.44927e6 | −1.28432 | −0.642158 | − | 0.766573i | \(-0.721961\pi\) | ||||
−0.642158 | + | 0.766573i | \(0.721961\pi\) | |||||||
\(480\) | 7.66093e6 | − | 3.19376e6i | 1.51767 | − | 0.632701i | ||||
\(481\) | 1.91829e6 | 0.378051 | ||||||||
\(482\) | −884877. | + | 389749.i | −0.173486 | + | 0.0764130i | ||||
\(483\) | 5.30447e6 | + | 5.30447e6i | 1.03460 | + | 1.03460i | ||||
\(484\) | 3.58680e6 | + | 3.28178e6i | 0.695975 | + | 0.636790i | ||||
\(485\) | −6.79837e6 | + | 5.46094e6i | −1.31235 | + | 1.05418i | ||||
\(486\) | −4.02940e6 | − | 1.56522e6i | −0.773837 | − | 0.300597i | ||||
\(487\) | 358765. | 0.0685470 | 0.0342735 | − | 0.999412i | \(-0.489088\pi\) | ||||
0.0342735 | + | 0.999412i | \(0.489088\pi\) | |||||||
\(488\) | 4.20780e6 | + | 8.50858e6i | 0.799844 | + | 1.61736i | ||||
\(489\) | − | 1.07822e7i | − | 2.03908i | ||||||
\(490\) | −3.10354e6 | − | 1.61248e6i | −0.583938 | − | 0.303392i | ||||
\(491\) | 3.27547e6 | + | 3.27547e6i | 0.613154 | + | 0.613154i | 0.943767 | − | 0.330613i | \(-0.107255\pi\) |
−0.330613 | + | 0.943767i | \(0.607255\pi\) | |||||||
\(492\) | −454339. | − | 1.02311e7i | −0.0846189 | − | 1.90550i | ||||
\(493\) | −3.86490e6 | − | 3.86490e6i | −0.716178 | − | 0.716178i | ||||
\(494\) | −637969. | + | 280997.i | −0.117620 | + | 0.0518065i | ||||
\(495\) | 1.28705e7 | + | 1.40411e6i | 2.36093 | + | 0.257566i | ||||
\(496\) | 440113. | + | 4.94559e6i | 0.0803267 | + | 0.902638i | ||||
\(497\) | − | 1.50219e6i | − | 0.272794i | ||||||
\(498\) | −3531.99 | − | 8018.95i | −0.000638184 | − | 0.00144892i | ||||
\(499\) | 1.88264e6 | − | 1.88264e6i | 0.338467 | − | 0.338467i | −0.517323 | − | 0.855790i | \(-0.673071\pi\) |
0.855790 | + | 0.517323i | \(0.173071\pi\) | |||||||
\(500\) | 1.55356e6 | − | 5.36996e6i | 0.277910 | − | 0.960607i | ||||
\(501\) | −3.79824e6 | − | 3.79824e6i | −0.676065 | − | 0.676065i | ||||
\(502\) | −9.87880e6 | − | 3.83742e6i | −1.74963 | − | 0.679641i | ||||
\(503\) | −1.54625e6 | −0.272495 | −0.136248 | − | 0.990675i | \(-0.543504\pi\) | ||||
−0.136248 | + | 0.990675i | \(0.543504\pi\) | |||||||
\(504\) | −5.38169e6 | − | 1.82013e6i | −0.943718 | − | 0.319173i | ||||
\(505\) | −459582. | + | 4.21267e6i | −0.0801926 | + | 0.735071i | ||||
\(506\) | −1.13885e7 | − | 4.42386e6i | −1.97738 | − | 0.768112i | ||||
\(507\) | 6.19819e6 | − | 6.19819e6i | 1.07089 | − | 1.07089i | ||||
\(508\) | 2.03670e6 | + | 1.86350e6i | 0.350161 | + | 0.320384i | ||||
\(509\) | 1.51480e6 | − | 1.51480e6i | 0.259156 | − | 0.259156i | −0.565554 | − | 0.824711i | \(-0.691338\pi\) |
0.824711 | + | 0.565554i | \(0.191338\pi\) | |||||||
\(510\) | −1.32014e7 | + | 4.17387e6i | −2.24748 | + | 0.710581i | ||||
\(511\) | 498970. | 0.0845323 | ||||||||
\(512\) | 4.92090e6 | − | 3.31197e6i | 0.829601 | − | 0.558356i | ||||
\(513\) | − | 3.15458e6i | − | 0.529235i | ||||||
\(514\) | −1.66947e6 | − | 3.79033e6i | −0.278722 | − | 0.632805i | ||||
\(515\) | −4.53432e6 | − | 5.64482e6i | −0.753346 | − | 0.937847i | ||||
\(516\) | 6.85497e6 | − | 7.49209e6i | 1.13339 | − | 1.23874i | ||||
\(517\) | −5.26537e6 | + | 5.26537e6i | −0.866368 | + | 0.866368i | ||||
\(518\) | 1.73984e6 | − | 4.47893e6i | 0.284895 | − | 0.733415i | ||||
\(519\) | − | 8.20896e6i | − | 1.33773i | ||||||
\(520\) | −1.57130e6 | − | 729772.i | −0.254830 | − | 0.118353i | ||||
\(521\) | 9.46124e6i | 1.52705i | 0.645777 | + | 0.763526i | \(0.276534\pi\) | ||||
−0.645777 | + | 0.763526i | \(0.723466\pi\) | |||||||
\(522\) | 6.98496e6 | + | 2.71330e6i | 1.12199 | + | 0.435835i | ||||
\(523\) | −1.05029e6 | + | 1.05029e6i | −0.167902 | + | 0.167902i | −0.786057 | − | 0.618154i | \(-0.787881\pi\) |
0.618154 | + | 0.786057i | \(0.287881\pi\) | |||||||
\(524\) | −251030. | − | 5.65285e6i | −0.0399391 | − | 0.899371i | ||||
\(525\) | −5.11861e6 | + | 3.26693e6i | −0.810501 | + | 0.517299i | ||||
\(526\) | 1.16292e6 | − | 512217.i | 0.183268 | − | 0.0807215i | ||||
\(527\) | − | 8.28253e6i | − | 1.29908i | ||||||
\(528\) | 1.46258e7 | − | 1.30157e6i | 2.28316 | − | 0.203181i | ||||
\(529\) | 8.46778e6 | 1.31562 | ||||||||
\(530\) | 4.45394e6 | − | 1.40819e6i | 0.688739 | − | 0.217757i | ||||
\(531\) | −1.08358e7 | + | 1.08358e7i | −1.66773 | + | 1.66773i | ||||
\(532\) | 77466.1 | + | 1.74443e6i | 0.0118668 | + | 0.267223i | ||||
\(533\) | −1.51157e6 | + | 1.51157e6i | −0.230468 | + | 0.230468i | ||||
\(534\) | 147522. | − | 379770.i | 0.0223873 | − | 0.0576325i | ||||
\(535\) | −2.20597e6 | − | 240660.i | −0.333208 | − | 0.0363513i | ||||
\(536\) | −4.08449e6 | + | 2.01993e6i | −0.614081 | + | 0.303686i | ||||
\(537\) | 1.20369e7 | 1.80127 | ||||||||
\(538\) | −1.07770e6 | + | 2.77437e6i | −0.160525 | + | 0.413246i | ||||
\(539\) | −4.37512e6 | − | 4.37512e6i | −0.648662 | − | 0.648662i | ||||
\(540\) | 5.88836e6 | − | 5.17608e6i | 0.868980 | − | 0.763865i | ||||
\(541\) | 2.67729e6 | − | 2.67729e6i | 0.393281 | − | 0.393281i | −0.482574 | − | 0.875855i | \(-0.660298\pi\) |
0.875855 | + | 0.482574i | \(0.160298\pi\) | |||||||
\(542\) | 3.16457e6 | − | 1.39385e6i | 0.462718 | − | 0.203806i | ||||
\(543\) | − | 2.05703e7i | − | 2.99392i | ||||||
\(544\) | −8.66615e6 | + | 4.77545e6i | −1.25554 | + | 0.691858i | ||||
\(545\) | −5.54773e6 | − | 605229.i | −0.800062 | − | 0.0872828i | ||||
\(546\) | 758579. | + | 1.72226e6i | 0.108898 | + | 0.247239i | ||||
\(547\) | 1.71378e6 | + | 1.71378e6i | 0.244898 | + | 0.244898i | 0.818873 | − | 0.573975i | \(-0.194599\pi\) |
−0.573975 | + | 0.818873i | \(0.694599\pi\) | |||||||
\(548\) | −3.19539e6 | + | 3.49238e6i | −0.454541 | + | 0.496787i | ||||
\(549\) | 1.53501e7 | + | 1.53501e7i | 2.17360 | + | 2.17360i | ||||
\(550\) | 5.48445e6 | − | 8.22957e6i | 0.773084 | − | 1.16003i | ||||
\(551\) | − | 2.30317e6i | − | 0.323181i | ||||||
\(552\) | −1.60564e7 | + | 7.94045e6i | −2.24285 | + | 1.10917i | ||||
\(553\) | −2.29921e6 | −0.319717 | ||||||||
\(554\) | −2.25676e6 | + | 5.80967e6i | −0.312400 | + | 0.804224i | ||||
\(555\) | 1.00540e7 | + | 1.25164e7i | 1.38551 | + | 1.72483i | ||||
\(556\) | −1.29054e7 | + | 573100.i | −1.77045 | + | 0.0786219i | ||||
\(557\) | −5.72131e6 | − | 5.72131e6i | −0.781371 | − | 0.781371i | 0.198691 | − | 0.980062i | \(-0.436331\pi\) |
−0.980062 | + | 0.198691i | \(0.936331\pi\) | |||||||
\(558\) | 4.57710e6 | + | 1.03917e7i | 0.622308 | + | 1.41287i | ||||
\(559\) | −2.11968e6 | −0.286907 | ||||||||
\(560\) | −3.12905e6 | + | 3.00688e6i | −0.421640 | + | 0.405178i | ||||
\(561\) | −2.44943e7 | −3.28593 | ||||||||
\(562\) | −1.85889e6 | − | 4.22039e6i | −0.248264 | − | 0.563653i | ||||
\(563\) | 3.57673e6 | + | 3.57673e6i | 0.475571 | + | 0.475571i | 0.903712 | − | 0.428141i | \(-0.140831\pi\) |
−0.428141 | + | 0.903712i | \(0.640831\pi\) | |||||||
\(564\) | 484337. | + | 1.09066e7i | 0.0641135 | + | 1.44374i | ||||
\(565\) | 7.90636e6 | − | 6.35096e6i | 1.04197 | − | 0.836986i | ||||
\(566\) | −3.77297e6 | + | 9.71290e6i | −0.495043 | + | 1.27441i | ||||
\(567\) | −889747. | −0.116228 | ||||||||
\(568\) | 3.39788e6 | + | 1.14919e6i | 0.441913 | + | 0.149458i | ||||
\(569\) | − | 5.56828e6i | − | 0.721009i | −0.932758 | − | 0.360504i | \(-0.882605\pi\) | ||
0.932758 | − | 0.360504i | \(-0.117395\pi\) | |||||||
\(570\) | −5.17714e6 | − | 2.68985e6i | −0.667425 | − | 0.346769i | ||||
\(571\) | 6.27398e6 | + | 6.27398e6i | 0.805292 | + | 0.805292i | 0.983917 | − | 0.178625i | \(-0.0571650\pi\) |
−0.178625 | + | 0.983917i | \(0.557165\pi\) | |||||||
\(572\) | −2.26128e6 | − | 2.06899e6i | −0.288978 | − | 0.264404i | ||||
\(573\) | 2.66994e6 | + | 2.66994e6i | 0.339715 | + | 0.339715i | ||||
\(574\) | 2.15835e6 | + | 4.90026e6i | 0.273427 | + | 0.620783i | ||||
\(575\) | −2.60136e6 | + | 1.17805e7i | −0.328118 | + | 1.48592i | ||||
\(576\) | 8.23405e6 | − | 1.07807e7i | 1.03409 | − | 1.35391i | ||||
\(577\) | − | 3.60595e6i | − | 0.450900i | −0.974255 | − | 0.225450i | \(-0.927615\pi\) | ||
0.974255 | − | 0.225450i | \(-0.0723852\pi\) | |||||||
\(578\) | 7.75506e6 | − | 3.41576e6i | 0.965530 | − | 0.425273i | ||||
\(579\) | −3.87280e6 | + | 3.87280e6i | −0.480097 | + | 0.480097i | ||||
\(580\) | 4.29910e6 | − | 3.77907e6i | 0.530650 | − | 0.466460i | ||||
\(581\) | 3239.50 | + | 3239.50i | 0.000398142 | + | 0.000398142i | ||||
\(582\) | −8.18966e6 | + | 2.10829e7i | −1.00221 | + | 2.58002i | ||||
\(583\) | 8.26397e6 | 1.00697 | ||||||||
\(584\) | −381716. | + | 1.12864e6i | −0.0463135 | + | 0.136938i | ||||
\(585\) | −3.93880e6 | − | 429703.i | −0.475854 | − | 0.0519133i | ||||
\(586\) | 1.07676e6 | − | 2.77195e6i | 0.129532 | − | 0.333458i | ||||
\(587\) | 4.97476e6 | − | 4.97476e6i | 0.595905 | − | 0.595905i | −0.343315 | − | 0.939220i | \(-0.611550\pi\) |
0.939220 | + | 0.343315i | \(0.111550\pi\) | |||||||
\(588\) | −9.06253e6 | + | 402447.i | −1.08095 | + | 0.0480027i | ||||
\(589\) | 2.46786e6 | − | 2.46786e6i | 0.293111 | − | 0.293111i | ||||
\(590\) | 3.52876e6 | + | 1.11610e7i | 0.417342 | + | 1.32000i | ||||
\(591\) | 2.89160e6 | 0.340542 | ||||||||
\(592\) | 8.80009e6 | + | 7.36183e6i | 1.03201 | + | 0.863339i | ||||
\(593\) | − | 2.76669e6i | − | 0.323090i | −0.986865 | − | 0.161545i | \(-0.948352\pi\) | ||
0.986865 | − | 0.161545i | \(-0.0516476\pi\) | |||||||
\(594\) | 1.26930e7 | − | 5.59072e6i | 1.47604 | − | 0.650132i | ||||
\(595\) | 5.64375e6 | − | 4.53347e6i | 0.653545 | − | 0.524974i | ||||
\(596\) | −3.18177e6 | + | 141295.i | −0.366905 | + | 0.0162934i | ||||
\(597\) | 1.53469e7 | − | 1.53469e7i | 1.76232 | − | 1.76232i | ||||
\(598\) | 3.48524e6 | + | 1.35384e6i | 0.398547 | + | 0.154816i | ||||
\(599\) | − | 1.70067e6i | − | 0.193666i | −0.995301 | − | 0.0968328i | \(-0.969129\pi\) | ||
0.995301 | − | 0.0968328i | \(-0.0308712\pi\) | |||||||
\(600\) | −3.47383e6 | − | 1.40772e7i | −0.393941 | − | 1.59639i | ||||
\(601\) | 2.77118e6i | 0.312953i | 0.987682 | + | 0.156476i | \(0.0500135\pi\) | ||||
−0.987682 | + | 0.156476i | \(0.949986\pi\) | |||||||
\(602\) | −1.92250e6 | + | 4.94916e6i | −0.216209 | + | 0.556596i | ||||
\(603\) | −7.36872e6 | + | 7.36872e6i | −0.825275 | + | 0.825275i | ||||
\(604\) | 8.62912e6 | + | 7.89531e6i | 0.962441 | + | 0.880596i | ||||
\(605\) | 6.62124e6 | − | 5.31865e6i | 0.735446 | − | 0.590763i | ||||
\(606\) | 4.43052e6 | + | 1.00589e7i | 0.490087 | + | 1.11268i | ||||
\(607\) | 4.78199e6i | 0.526789i | 0.964688 | + | 0.263395i | \(0.0848421\pi\) | ||||
−0.964688 | + | 0.263395i | \(0.915158\pi\) | |||||||
\(608\) | −4.00505e6 | − | 1.15927e6i | −0.439389 | − | 0.127182i | ||||
\(609\) | −6.21763e6 | −0.679331 | ||||||||
\(610\) | 1.58107e7 | − | 4.99885e6i | 1.72039 | − | 0.543933i | ||||
\(611\) | 1.61137e6 | − | 1.61137e6i | 0.174619 | − | 0.174619i | ||||
\(612\) | −1.52756e7 | + | 1.66953e7i | −1.64861 | + | 1.80184i | ||||
\(613\) | −8.08618e6 | + | 8.08618e6i | −0.869145 | + | 0.869145i | −0.992378 | − | 0.123232i | \(-0.960674\pi\) |
0.123232 | + | 0.992378i | \(0.460674\pi\) | |||||||
\(614\) | 7.54574e6 | + | 2.93114e6i | 0.807757 | + | 0.313773i | ||||
\(615\) | −1.77850e7 | − | 1.94026e6i | −1.89612 | − | 0.206858i | ||||
\(616\) | −6.88173e6 | + | 3.40326e6i | −0.730711 | + | 0.361363i | ||||
\(617\) | −1.63283e7 | −1.72675 | −0.863373 | − | 0.504566i | \(-0.831653\pi\) | ||||
−0.863373 | + | 0.504566i | \(0.831653\pi\) | |||||||
\(618\) | −1.75055e7 | − | 6.80003e6i | −1.84376 | − | 0.716208i | ||||
\(619\) | 5.63689e6 | + | 5.63689e6i | 0.591307 | + | 0.591307i | 0.937984 | − | 0.346677i | \(-0.112690\pi\) |
−0.346677 | + | 0.937984i | \(0.612690\pi\) | |||||||
\(620\) | 8.65581e6 | + | 557221.i | 0.904333 | + | 0.0582168i | ||||
\(621\) | −1.19640e7 | + | 1.19640e7i | −1.24493 | + | 1.24493i | ||||
\(622\) | 4.08876e6 | + | 9.28303e6i | 0.423756 | + | 0.962086i | ||||
\(623\) | 213016.i | 0.0219883i | ||||||||
\(624\) | −4.47597e6 | + | 398322.i | −0.460178 | + | 0.0409517i | ||||
\(625\) | −8.85755e6 | − | 4.11233e6i | −0.907013 | − | 0.421103i | ||||
\(626\) | −1.47955e7 | + | 6.51674e6i | −1.50901 | + | 0.664652i | ||||
\(627\) | −7.29832e6 | − | 7.29832e6i | −0.741403 | − | 0.741403i | ||||
\(628\) | 8.82468e6 | − | 391884.i | 0.892894 | − | 0.0396514i | ||||
\(629\) | −1.35334e7 | − | 1.35334e7i | −1.36390 | − | 1.36390i | ||||
\(630\) | −4.57569e6 | + | 8.80681e6i | −0.459309 | + | 0.884030i | ||||
\(631\) | − | 1.84472e7i | − | 1.84441i | −0.386698 | − | 0.922206i | \(-0.626384\pi\) | ||
0.386698 | − | 0.922206i | \(-0.373616\pi\) | |||||||
\(632\) | 1.75891e6 | − | 5.20068e6i | 0.175167 | − | 0.517926i | ||||
\(633\) | 1.17749e7 | 1.16801 | ||||||||
\(634\) | 6.58770e6 | + | 2.55899e6i | 0.650895 | + | 0.252840i | ||||
\(635\) | 3.75975e6 | − | 3.02010e6i | 0.370020 | − | 0.297227i | ||||
\(636\) | 8.17883e6 | − | 8.93899e6i | 0.801767 | − | 0.876286i | ||||
\(637\) | 1.33893e6 | + | 1.33893e6i | 0.130740 | + | 0.130740i | ||||
\(638\) | 9.26721e6 | − | 4.08180e6i | 0.901358 | − | 0.397008i | ||||
\(639\) | 8.20324e6 | 0.794755 | ||||||||
\(640\) | −4.40764e6 | − | 9.37800e6i | −0.425359 | − | 0.905025i | ||||
\(641\) | −6.66649e6 | −0.640843 | −0.320422 | − | 0.947275i | \(-0.603825\pi\) | ||||
−0.320422 | + | 0.947275i | \(0.603825\pi\) | |||||||
\(642\) | −5.26738e6 | + | 2.32005e6i | −0.504379 | + | 0.222156i | ||||
\(643\) | 5.50491e6 | + | 5.50491e6i | 0.525077 | + | 0.525077i | 0.919100 | − | 0.394024i | \(-0.128917\pi\) |
−0.394024 | + | 0.919100i | \(0.628917\pi\) | |||||||
\(644\) | 6.32206e6 | − | 6.90966e6i | 0.600681 | − | 0.656511i | ||||
\(645\) | −1.11096e7 | − | 1.38304e7i | −1.05147 | − | 1.30899i | ||||
\(646\) | 6.48327e6 | + | 2.51842e6i | 0.611242 | + | 0.237437i | ||||
\(647\) | 2.71049e6 | 0.254559 | 0.127279 | − | 0.991867i | \(-0.459376\pi\) | ||||
0.127279 | + | 0.991867i | \(0.459376\pi\) | |||||||
\(648\) | 680662. | − | 2.01256e6i | 0.0636787 | − | 0.188283i | ||||
\(649\) | 2.07085e7i | 1.92991i | ||||||||
\(650\) | −1.67842e6 | + | 2.51851e6i | −0.155818 | + | 0.233809i | ||||
\(651\) | −6.66223e6 | − | 6.66223e6i | −0.616123 | − | 0.616123i | ||||
\(652\) | −1.34478e7 | + | 597187.i | −1.23889 | + | 0.0550163i | ||||
\(653\) | −6.37346e6 | − | 6.37346e6i | −0.584915 | − | 0.584915i | 0.351335 | − | 0.936250i | \(-0.385728\pi\) |
−0.936250 | + | 0.351335i | \(0.885728\pi\) | |||||||
\(654\) | −1.32468e7 | + | 5.83461e6i | −1.21106 | + | 0.533418i | ||||
\(655\) | −9.82655e6 | − | 1.07203e6i | −0.894948 | − | 0.0976343i | ||||
\(656\) | −1.27353e7 | + | 1.13332e6i | −1.15544 | + | 0.102824i | ||||
\(657\) | 2.72480e6i | 0.246275i | ||||||||
\(658\) | −2.30085e6 | − | 5.22380e6i | −0.207169 | − | 0.470351i | ||||
\(659\) | 3.26786e6 | − | 3.26786e6i | 0.293123 | − | 0.293123i | −0.545190 | − | 0.838313i | \(-0.683542\pi\) |
0.838313 | + | 0.545190i | \(0.183542\pi\) | |||||||
\(660\) | 1.64790e6 | − | 2.55983e7i | 0.147255 | − | 2.28744i | ||||
\(661\) | 1.43758e7 | + | 1.43758e7i | 1.27976 | + | 1.27976i | 0.940802 | + | 0.338956i | \(0.110074\pi\) |
0.338956 | + | 0.940802i | \(0.389926\pi\) | |||||||
\(662\) | −329477. | − | 127985.i | −0.0292200 | − | 0.0113505i | ||||
\(663\) | 7.49605e6 | 0.662291 | ||||||||
\(664\) | −9805.80 | + | 4849.32i | −0.000863103 | + | 0.000426836i | ||||
\(665\) | 3.03240e6 | + | 330820.i | 0.265908 | + | 0.0290093i | ||||
\(666\) | 2.44587e7 | + | 9.50098e6i | 2.13672 | + | 0.830009i | ||||
\(667\) | −8.73492e6 | + | 8.73492e6i | −0.760229 | + | 0.760229i | ||||
\(668\) | −4.52688e6 | + | 4.94763e6i | −0.392517 | + | 0.428998i | ||||
\(669\) | −5.17508e6 | + | 5.17508e6i | −0.447046 | + | 0.447046i | ||||
\(670\) | 2.39967e6 | + | 7.58985e6i | 0.206521 | + | 0.653200i | ||||
\(671\) | 2.93357e7 | 2.51530 | ||||||||
\(672\) | −3.12957e6 | + | 1.08120e7i | −0.267339 | + | 0.923601i | ||||
\(673\) | − | 6.12005e6i | − | 0.520856i | −0.965493 | − | 0.260428i | \(-0.916136\pi\) | ||
0.965493 | − | 0.260428i | \(-0.0838637\pi\) | |||||||
\(674\) | −7.85277e6 | − | 1.78288e7i | −0.665845 | − | 1.51172i | ||||
\(675\) | −7.36840e6 | − | 1.15448e7i | −0.622463 | − | 0.975272i | ||||
\(676\) | −8.07382e6 | − | 7.38723e6i | −0.679536 | − | 0.621749i | ||||
\(677\) | 1.37416e7 | − | 1.37416e7i | 1.15230 | − | 1.15230i | 0.166211 | − | 0.986090i | \(-0.446847\pi\) |
0.986090 | − | 0.166211i | \(-0.0531534\pi\) | |||||||
\(678\) | 9.52439e6 | − | 2.45190e7i | 0.795725 | − | 2.04846i | ||||
\(679\) | − | 1.18255e7i | − | 0.984344i | ||||||
\(680\) | 5.93693e6 | + | 1.62340e7i | 0.492368 | + | 1.34633i | ||||
\(681\) | − | 2.78283e7i | − | 2.29943i | ||||||
\(682\) | 1.43035e7 | + | 5.55621e6i | 1.17756 | + | 0.457423i | ||||
\(683\) | 5.60418e6 | − | 5.60418e6i | 0.459685 | − | 0.459685i | −0.438867 | − | 0.898552i | \(-0.644620\pi\) |
0.898552 | + | 0.438867i | \(0.144620\pi\) | |||||||
\(684\) | −9.52603e6 | + | 423030.i | −0.778523 | + | 0.0345725i | ||||
\(685\) | 5.17865e6 | + | 6.44695e6i | 0.421687 | + | 0.524962i | ||||
\(686\) | 1.09367e7 | − | 4.81713e6i | 0.887312 | − | 0.390821i | ||||
\(687\) | 1.54100e7i | 1.24569i | ||||||||
\(688\) | −9.72398e6 | − | 8.13471e6i | −0.783200 | − | 0.655196i | ||||
\(689\) | −2.52904e6 | −0.202959 | ||||||||
\(690\) | 9.43323e6 | + | 2.98361e7i | 0.754288 | + | 2.38572i | ||||
\(691\) | 9.26625e6 | − | 9.26625e6i | 0.738259 | − | 0.738259i | −0.233982 | − | 0.972241i | \(-0.575176\pi\) |
0.972241 | + | 0.233982i | \(0.0751755\pi\) | |||||||
\(692\) | −1.02384e7 | + | 454665.i | −0.812769 | + | 0.0360933i | ||||
\(693\) | −1.24151e7 | + | 1.24151e7i | −0.982016 | + | 0.982016i | ||||
\(694\) | 3.90882e6 | − | 1.00626e7i | 0.308068 | − | 0.793070i | ||||
\(695\) | −2.44743e6 | + | 2.24339e7i | −0.192198 | + | 1.76174i | ||||
\(696\) | 4.75653e6 | − | 1.40639e7i | 0.372192 | − | 1.10048i | ||||
\(697\) | 2.13281e7 | 1.66292 | ||||||||
\(698\) | −726140. | + | 1.86933e6i | −0.0564133 | + | 0.145227i | ||||
\(699\) | −9.61439e6 | − | 9.61439e6i | −0.744267 | − | 0.744267i | ||||
\(700\) | 4.35809e6 | + | 6.20310e6i | 0.336164 | + | 0.478480i | ||||
\(701\) | 467627. | − | 467627.i | 0.0359422 | − | 0.0359422i | −0.688907 | − | 0.724849i | \(-0.741909\pi\) |
0.724849 | + | 0.688907i | \(0.241909\pi\) | |||||||
\(702\) | −3.88448e6 | + | 1.71094e6i | −0.297502 | + | 0.131036i | ||||
\(703\) | − | 8.06483e6i | − | 0.615470i | ||||||
\(704\) | −2.43342e6 | − | 1.81696e7i | −0.185048 | − | 1.38170i | ||||
\(705\) | 1.89593e7 | + | 2.06836e6i | 1.43664 | + | 0.156731i | ||||
\(706\) | 3.42884e6 | + | 7.78476e6i | 0.258902 | + | 0.587805i | ||||
\(707\) | −4.06362e6 | − | 4.06362e6i | −0.305748 | − | 0.305748i | ||||
\(708\) | 2.24000e7 | + | 2.04951e7i | 1.67944 | + | 1.53662i | ||||
\(709\) | 3.66205e6 | + | 3.66205e6i | 0.273595 | + | 0.273595i | 0.830546 | − | 0.556950i | \(-0.188029\pi\) |
−0.556950 | + | 0.830546i | \(0.688029\pi\) | |||||||
\(710\) | 2.88899e6 | − | 5.56042e6i | 0.215080 | − | 0.413963i | ||||
\(711\) | − | 1.25556e7i | − | 0.931460i | ||||||
\(712\) | −481829. | − | 162958.i | −0.0356199 | − | 0.0120469i | ||||
\(713\) | −1.87191e7 | −1.37899 | ||||||||
\(714\) | 6.79874e6 | − | 1.75022e7i | 0.499095 | − | 1.28484i | ||||
\(715\) | −4.17434e6 | + | 3.35313e6i | −0.305367 | + | 0.245293i | ||||
\(716\) | −666679. | − | 1.50127e7i | −0.0485998 | − | 1.09440i | ||||
\(717\) | −3.27739e6 | − | 3.27739e6i | −0.238084 | − | 0.238084i | ||||
\(718\) | −8.59534e6 | − | 1.95147e7i | −0.622232 | − | 1.41270i | ||||
\(719\) | −4.81979e6 | −0.347701 | −0.173851 | − | 0.984772i | \(-0.555621\pi\) | ||||
−0.173851 | + | 0.984772i | \(0.555621\pi\) | |||||||
\(720\) | −1.64201e7 | − | 1.70872e7i | −1.18044 | − | 1.22840i | ||||
\(721\) | 9.81898e6 | 0.703442 | ||||||||
\(722\) | −4.46466e6 | − | 1.01365e7i | −0.318746 | − | 0.723675i | ||||
\(723\) | 3.09794e6 | + | 3.09794e6i | 0.220408 | + | 0.220408i | ||||
\(724\) | −2.56557e7 | + | 1.13931e6i | −1.81902 | + | 0.0807787i | ||||
\(725\) | −5.37968e6 | − | 8.42886e6i | −0.380112 | − | 0.595558i | ||||
\(726\) | 7.97627e6 | − | 2.05336e7i | 0.561640 | − | 1.44585i | ||||
\(727\) | 2.24891e7 | 1.57810 | 0.789051 | − | 0.614327i | \(-0.210572\pi\) | ||||
0.789051 | + | 0.614327i | \(0.210572\pi\) | |||||||
\(728\) | 2.10603e6 | − | 1.04151e6i | 0.147277 | − | 0.0728340i | ||||
\(729\) | 2.24387e7i | 1.56379i | ||||||||
\(730\) | 1.84696e6 | + | 959609.i | 0.128277 | + | 0.0666480i | ||||
\(731\) | 1.49543e7 | + | 1.49543e7i | 1.03507 | + | 1.03507i | ||||
\(732\) | 2.90334e7 | − | 3.17319e7i | 2.00272 | − | 2.18886i | ||||
\(733\) | −1.44776e7 | − | 1.44776e7i | −0.995261 | − | 0.995261i | 0.00472794 | − | 0.999989i | \(-0.498495\pi\) |
−0.999989 | + | 0.00472794i | \(0.998495\pi\) | |||||||
\(734\) | −3.69358e6 | − | 8.38582e6i | −0.253051 | − | 0.574520i | ||||
\(735\) | −1.71865e6 | + | 1.57537e7i | −0.117346 | + | 1.07564i | ||||
\(736\) | 1.07928e7 | + | 1.95861e7i | 0.734413 | + | 1.33276i | ||||
\(737\) | 1.40824e7i | 0.955012i | ||||||||
\(738\) | −2.67595e7 | + | 1.17864e7i | −1.80858 | + | 0.796599i | ||||
\(739\) | −2.42219e6 | + | 2.42219e6i | −0.163153 | + | 0.163153i | −0.783962 | − | 0.620809i | \(-0.786804\pi\) |
0.620809 | + | 0.783962i | \(0.286804\pi\) | |||||||
\(740\) | 1.50539e7 | − | 1.32329e7i | 1.01057 | − | 0.888332i | ||||
\(741\) | 2.23352e6 | + | 2.23352e6i | 0.149432 | + | 0.149432i | ||||
\(742\) | −2.29378e6 | + | 5.90496e6i | −0.152947 | + | 0.393738i | ||||
\(743\) | −7.10752e6 | −0.472331 | −0.236165 | − | 0.971713i | \(-0.575891\pi\) | ||||
−0.236165 | + | 0.971713i | \(0.575891\pi\) | |||||||
\(744\) | 2.01662e7 | − | 9.97293e6i | 1.33565 | − | 0.660527i | ||||
\(745\) | −603403. | + | 5.53098e6i | −0.0398306 | + | 0.365100i | ||||
\(746\) | −9.19200e6 | + | 2.36633e7i | −0.604732 | + | 1.55678i | ||||
\(747\) | −17690.4 | + | 17690.4i | −0.00115994 | + | 0.00115994i | ||||
\(748\) | 1.35665e6 | + | 3.05499e7i | 0.0886574 | + | 1.99644i | ||||
\(749\) | 2.12792e6 | − | 2.12792e6i | 0.138596 | − | 0.138596i | ||||
\(750\) | −2.52296e7 | + | 2.24865e6i | −1.63778 | + | 0.145972i | ||||
\(751\) | −8.01849e6 | −0.518791 | −0.259396 | − | 0.965771i | \(-0.583523\pi\) | ||||
−0.259396 | + | 0.965771i | \(0.583523\pi\) | |||||||
\(752\) | 1.35761e7 | − | 1.20815e6i | 0.875449 | − | 0.0779071i | ||||
\(753\) | 4.80203e7i | 3.08629i | ||||||||
\(754\) | −2.83606e6 | + | 1.24916e6i | −0.181672 | + | 0.0800184i | ||||
\(755\) | 1.59294e7 | − | 1.27956e7i | 1.01702 | − | 0.816947i | ||||
\(756\) | 471677. | + | 1.06215e7i | 0.0300151 | + | 0.675898i | ||||
\(757\) | −845385. | + | 845385.i | −0.0536185 | + | 0.0536185i | −0.733408 | − | 0.679789i | \(-0.762071\pi\) |
0.679789 | + | 0.733408i | \(0.262071\pi\) | |||||||
\(758\) | 7.57192e6 | + | 2.94131e6i | 0.478666 | + | 0.185938i | ||||
\(759\) | 5.53588e7i | 3.48805i | ||||||||
\(760\) | −3.06810e6 | + | 6.60603e6i | −0.192679 | + | 0.414865i | ||||
\(761\) | − | 1.23445e7i | − | 0.772702i | −0.922352 | − | 0.386351i | \(-0.873735\pi\) | ||
0.922352 | − | 0.386351i | \(-0.126265\pi\) | |||||||
\(762\) | 4.52918e6 | − | 1.16596e7i | 0.282574 | − | 0.727441i | ||||
\(763\) | 5.35144e6 | − | 5.35144e6i | 0.332781 | − | 0.332781i | ||||
\(764\) | 3.18213e6 | − | 3.47789e6i | 0.197235 | − | 0.215567i | ||||
\(765\) | 2.47565e7 | + | 3.08196e7i | 1.52945 | + | 1.90403i | ||||
\(766\) | −4.87255e6 | − | 1.10625e7i | −0.300043 | − | 0.681212i | ||||
\(767\) | − | 6.33745e6i | − | 0.388979i | ||||||
\(768\) | −2.20621e7 | − | 1.53502e7i | −1.34972 | − | 0.939098i | ||||
\(769\) | 1.19058e7 | 0.726012 | 0.363006 | − | 0.931787i | \(-0.381751\pi\) | ||||
0.363006 | + | 0.931787i | \(0.381751\pi\) | |||||||
\(770\) | 4.04306e6 | + | 1.27877e7i | 0.245745 | + | 0.777259i | ||||
\(771\) | −1.32699e7 | + | 1.32699e7i | −0.803955 | + | 0.803955i | ||||
\(772\) | 5.04475e6 | + | 4.61575e6i | 0.304647 | + | 0.278740i | ||||
\(773\) | −1.19316e7 | + | 1.19316e7i | −0.718205 | + | 0.718205i | −0.968237 | − | 0.250032i | \(-0.919559\pi\) |
0.250032 | + | 0.968237i | \(0.419559\pi\) | |||||||
\(774\) | −2.70265e7 | − | 1.04984e7i | −1.62158 | − | 0.629902i | ||||
\(775\) | 3.26721e6 | − | 1.47959e7i | 0.195399 | − | 0.884888i | ||||
\(776\) | 2.67487e7 | + | 9.04662e6i | 1.59459 | + | 0.539302i | ||||
\(777\) | −2.17718e7 | −1.29373 | ||||||||
\(778\) | −5.87138e6 | − | 2.28074e6i | −0.347769 | − | 0.135091i | ||||
\(779\) | 6.35492e6 | + | 6.35492e6i | 0.375203 | + | 0.375203i | ||||
\(780\) | −504309. | + | 7.83389e6i | −0.0296798 | + | 0.461042i | ||||
\(781\) | 7.83864e6 | − | 7.83864e6i | 0.459847 | − | 0.459847i | ||||
\(782\) | −1.50370e7 | − | 3.41396e7i | −0.879312 | − | 1.99637i | ||||
\(783\) | − | 1.40236e7i | − | 0.817436i | ||||||
\(784\) | 1.00388e6 | + | 1.12807e7i | 0.0583301 | + | 0.655460i | ||||
\(785\) | 1.67355e6 | − | 1.53403e7i | 0.0969312 | − | 0.888502i | ||||
\(786\) | −2.34637e7 | + | 1.03347e7i | −1.35469 | + | 0.596680i | ||||
\(787\) | −1.32141e7 | − | 1.32141e7i | −0.760504 | − | 0.760504i | 0.215909 | − | 0.976413i | \(-0.430728\pi\) |
−0.976413 | + | 0.215909i | \(0.930728\pi\) | |||||||
\(788\) | −160156. | − | 3.60648e6i | −0.00918812 | − | 0.206903i | ||||
\(789\) | −4.07138e6 | − | 4.07138e6i | −0.232836 | − | 0.232836i | ||||
\(790\) | −8.51060e6 | − | 4.42179e6i | −0.485168 | − | 0.252075i | ||||
\(791\) | 1.37529e7i | 0.781541i | ||||||||
\(792\) | −1.85847e7 | − | 3.75800e7i | −1.05279 | − | 2.12884i | ||||
\(793\) | −8.97766e6 | −0.506968 | ||||||||
\(794\) | −1.62867e7 | − | 6.32658e6i | −0.916818 | − | 0.356138i | ||||
\(795\) | −1.32551e7 | − | 1.65014e7i | −0.743816 | − | 0.925983i | ||||
\(796\) | −1.99910e7 | − | 1.82910e7i | −1.11828 | − | 1.02319i | ||||
\(797\) | 2.35727e7 | + | 2.35727e7i | 1.31451 | + | 1.31451i | 0.918053 | + | 0.396458i | \(0.129761\pi\) |
0.396458 | + | 0.918053i | \(0.370239\pi\) | |||||||
\(798\) | 7.24071e6 | − | 3.18921e6i | 0.402507 | − | 0.177287i | ||||
\(799\) | −2.27363e7 | −1.25995 | ||||||||
\(800\) | −1.73650e7 | + | 5.11233e6i | −0.959291 | + | 0.282419i | ||||
\(801\) | −1.16324e6 | −0.0640604 | ||||||||
\(802\) | −2.86888e7 | + | 1.26361e7i | −1.57498 | + | 0.693710i | ||||
\(803\) | 2.60369e6 | + | 2.60369e6i | 0.142495 | + | 0.142495i | ||||
\(804\) | 1.52327e7 | + | 1.39373e7i | 0.831069 | + | 0.760395i | ||||
\(805\) | −1.02459e7 | − | 1.27552e7i | −0.557265 | − | 0.693744i | ||||
\(806\) | −4.37734e6 | − | 1.70038e6i | −0.237341 | − | 0.0921951i | ||||
\(807\) | 1.34861e7 | 0.728955 | ||||||||
\(808\) | 1.23004e7 | − | 6.08297e6i | 0.662811 | − | 0.327784i | ||||
\(809\) | − | 1.27690e7i | − | 0.685937i | −0.939347 | − | 0.342969i | \(-0.888568\pi\) | ||
0.939347 | − | 0.342969i | \(-0.111432\pi\) | |||||||
\(810\) | −3.29343e6 | − | 1.71114e6i | −0.176374 | − | 0.0916376i | ||||
\(811\) | −2.01777e7 | − | 2.01777e7i | −1.07726 | − | 1.07726i | −0.996754 | − | 0.0805055i | \(-0.974347\pi\) |
−0.0805055 | − | 0.996754i | \(-0.525653\pi\) | |||||||
\(812\) | 344372. | + | 7.75477e6i | 0.0183290 | + | 0.412742i | ||||
\(813\) | −1.10791e7 | − | 1.10791e7i | −0.587866 | − | 0.587866i | ||||
\(814\) | 3.24503e7 | − | 1.42929e7i | 1.71656 | − | 0.756067i | ||||
\(815\) | −2.55029e6 | + | 2.33768e7i | −0.134492 | + | 1.23279i | ||||
\(816\) | 3.43880e7 | + | 2.87677e7i | 1.80793 | + | 1.51244i | ||||
\(817\) | 8.91153e6i | 0.467086i | ||||||||
\(818\) | −1.28239e7 | − | 2.91152e7i | −0.670097 | − | 1.52137i | ||||
\(819\) | 3.79943e6 | − | 3.79943e6i | 0.197929 | − | 0.197929i | ||||
\(820\) | −1.43489e6 | + | 2.22894e7i | −0.0745217 | + | 1.15761i | ||||
\(821\) | 2.41976e6 | + | 2.41976e6i | 0.125290 | + | 0.125290i | 0.766971 | − | 0.641682i | \(-0.221763\pi\) |
−0.641682 | + | 0.766971i | \(0.721763\pi\) | |||||||
\(822\) | 1.99931e7 | + | 7.76631e6i | 1.03205 | + | 0.400899i | ||||
\(823\) | 4.27578e6 | 0.220047 | 0.110024 | − | 0.993929i | \(-0.464907\pi\) | ||||
0.110024 | + | 0.993929i | \(0.464907\pi\) | |||||||
\(824\) | −7.51158e6 | + | 2.22100e7i | −0.385401 | + | 1.13954i | ||||
\(825\) | −4.37568e7 | − | 9.66229e6i | −2.23826 | − | 0.494248i | ||||
\(826\) | −1.47971e7 | − | 5.74792e6i | −0.754616 | − | 0.293130i | ||||
\(827\) | 1.32487e7 | − | 1.32487e7i | 0.673612 | − | 0.673612i | −0.284935 | − | 0.958547i | \(-0.591972\pi\) |
0.958547 | + | 0.284935i | \(0.0919721\pi\) | |||||||
\(828\) | 3.77325e7 | + | 3.45238e7i | 1.91267 | + | 1.75002i | ||||
\(829\) | −2.19748e7 | + | 2.19748e7i | −1.11055 | + | 1.11055i | −0.117474 | + | 0.993076i | \(0.537480\pi\) |
−0.993076 | + | 0.117474i | \(0.962520\pi\) | |||||||
\(830\) | 5760.98 | + | 18221.2i | 0.000290269 | + | 0.000918085i | ||||
\(831\) | 2.82405e7 | 1.41863 | ||||||||
\(832\) | 744704. | + | 5.56048e6i | 0.0372971 | + | 0.278486i | ||||
\(833\) | − | 1.88922e7i | − | 0.943342i | ||||||
\(834\) | 2.35940e7 | + | 5.35673e7i | 1.17459 | + | 2.66676i | ||||
\(835\) | 7.33655e6 | + | 9.13333e6i | 0.364146 | + | 0.453328i | ||||
\(836\) | −8.69841e6 | + | 9.50687e6i | −0.430451 | + | 0.470459i | ||||
\(837\) | 1.50263e7 | − | 1.50263e7i | 0.741378 | − | 0.741378i | ||||
\(838\) | −1.75734e6 | + | 4.52400e6i | −0.0864464 | + | 0.222542i | ||||
\(839\) | − | 1.51106e7i | − | 0.741099i | −0.928813 | − | 0.370550i | \(-0.879169\pi\) | ||
0.928813 | − | 0.370550i | \(-0.120831\pi\) | |||||||
\(840\) | 1.78336e7 | + | 8.28264e6i | 0.872051 | + | 0.405014i | ||||
\(841\) | 1.02725e7i | 0.500826i | ||||||||
\(842\) | 1.87357e7 | + | 7.27788e6i | 0.910730 | + | 0.353773i | ||||
\(843\) | −1.47755e7 | + | 1.47755e7i | −0.716100 | + | 0.716100i | ||||
\(844\) | −652167. | − | 1.46859e7i | −0.0315140 | − | 0.709649i | ||||
\(845\) | −1.49043e7 | + | 1.19722e7i | −0.718075 | + | 0.576810i | ||||
\(846\) | 2.85263e7 | − | 1.25646e7i | 1.37031 | − | 0.603562i | ||||
\(847\) | 1.15174e7i | 0.551629i | ||||||||
\(848\) | −1.16019e7 | − | 9.70573e6i | −0.554039 | − | 0.463488i | ||||
\(849\) | 4.72138e7 | 2.24802 | ||||||||
\(850\) | 2.96092e7 | − | 5.92683e6i | 1.40566 | − | 0.281369i | ||||
\(851\) | −3.05864e7 | + | 3.05864e7i | −1.44779 | + | 1.44779i | ||||
\(852\) | −721040. | − | 1.62368e7i | −0.0340299 | − | 0.766304i | ||||
\(853\) | 427495. | − | 427495.i | 0.0201168 | − | 0.0201168i | −0.696977 | − | 0.717094i | \(-0.745472\pi\) |
0.717094 | + | 0.696977i | \(0.245472\pi\) | |||||||
\(854\) | −8.14253e6 | + | 2.09616e7i | −0.382045 | + | 0.983512i | ||||
\(855\) | −1.80655e6 | + | 1.65594e7i | −0.0845153 | + | 0.774694i | ||||
\(856\) | 3.18536e6 | + | 6.44110e6i | 0.148585 | + | 0.300452i | ||||
\(857\) | −2.54066e7 | −1.18167 | −0.590833 | − | 0.806794i | \(-0.701201\pi\) | ||||
−0.590833 | + | 0.806794i | \(0.701201\pi\) | |||||||
\(858\) | −5.02861e6 | + | 1.29453e7i | −0.233201 | + | 0.600337i | ||||
\(859\) | −2.36145e7 | − | 2.36145e7i | −1.09193 | − | 1.09193i | −0.995322 | − | 0.0966108i | \(-0.969200\pi\) |
−0.0966108 | − | 0.995322i | \(-0.530800\pi\) | |||||||
\(860\) | −1.66343e7 | + | 1.46222e7i | −0.766934 | + | 0.674163i | ||||
\(861\) | 1.71557e7 | − | 1.71557e7i | 0.788682 | − | 0.788682i | ||||
\(862\) | 3.66023e7 | − | 1.61217e7i | 1.67780 | − | 0.738996i | ||||
\(863\) | 2.78642e7i | 1.27356i | 0.771045 | + | 0.636780i | \(0.219734\pi\) | ||||
−0.771045 | + | 0.636780i | \(0.780266\pi\) | |||||||
\(864\) | −2.43860e7 | − | 7.05860e6i | −1.11137 | − | 0.321688i | ||||
\(865\) | −1.94165e6 | + | 1.77978e7i | −0.0882329 | + | 0.808771i | ||||
\(866\) | −3.05688e6 | − | 6.94026e6i | −0.138511 | − | 0.314471i | ||||
\(867\) | −2.71504e7 | − | 2.71504e7i | −1.22667 | − | 1.22667i | ||||
\(868\) | −7.94029e6 | + | 8.67829e6i | −0.357715 | + | 0.390962i | ||||
\(869\) | −1.19976e7 | − | 1.19976e7i | −0.538944 | − | 0.538944i | ||||
\(870\) | −2.30148e7 | − | 1.19576e7i | −1.03088 | − | 0.535607i | ||||
\(871\) | − | 4.30967e6i | − | 0.192486i | ||||||
\(872\) | 8.01075e6 | + | 1.61985e7i | 0.356765 | + | 0.721413i | ||||
\(873\) | 6.45774e7 | 2.86777 | ||||||||
\(874\) | 5.69180e6 | − | 1.46526e7i | 0.252041 | − | 0.648838i | ||||
\(875\) | 1.18703e7 | − | 5.87231e6i | 0.524135 | − | 0.259292i | ||||
\(876\) | 5.39323e6 | − | 239501.i | 0.237459 | − | 0.0105450i | ||||
\(877\) | 1.46203e6 | + | 1.46203e6i | 0.0641887 | + | 0.0641887i | 0.738472 | − | 0.674284i | \(-0.235548\pi\) |
−0.674284 | + | 0.738472i | \(0.735548\pi\) | |||||||
\(878\) | 8.23272e6 | + | 1.86914e7i | 0.360418 | + | 0.818285i | ||||
\(879\) | −1.34743e7 | −0.588212 | ||||||||
\(880\) | −3.20180e7 | − | 637500.i | −1.39376 | − | 0.0277507i | ||||
\(881\) | 9.67429e6 | 0.419933 | 0.209966 | − | 0.977709i | \(-0.432665\pi\) | ||||
0.209966 | + | 0.977709i | \(0.432665\pi\) | |||||||
\(882\) | 1.04402e7 | + | 2.37032e7i | 0.451895 | + | 1.02597i | ||||
\(883\) | 608967. | + | 608967.i | 0.0262841 | + | 0.0262841i | 0.720127 | − | 0.693843i | \(-0.244084\pi\) |
−0.693843 | + | 0.720127i | \(0.744084\pi\) | |||||||
\(884\) | −415179. | − | 9.34925e6i | −0.0178692 | − | 0.402389i | ||||
\(885\) | 4.13504e7 | − | 3.32156e7i | 1.77469 | − | 1.42556i | ||||
\(886\) | 1.11706e7 | − | 2.87568e7i | 0.478069 | − | 1.23071i | ||||
\(887\) | −1.84590e7 | −0.787768 | −0.393884 | − | 0.919160i | \(-0.628869\pi\) | ||||
−0.393884 | + | 0.919160i | \(0.628869\pi\) | |||||||
\(888\) | 1.66556e7 | − | 4.92466e7i | 0.708806 | − | 2.09577i | ||||
\(889\) | 6.53997e6i | 0.277537i | ||||||||
\(890\) | −409667. | + | 788484.i | −0.0173363 | + | 0.0333671i | ||||
\(891\) | −4.64281e6 | − | 4.64281e6i | −0.195924 | − | 0.195924i | ||||
\(892\) | 6.74111e6 | + | 6.16785e6i | 0.283674 | + | 0.259551i | ||||
\(893\) | −6.77451e6 | − | 6.77451e6i | −0.284282 | − | 0.284282i | ||||
\(894\) | 5.81700e6 | + | 1.32068e7i | 0.243419 | + | 0.552654i | ||||
\(895\) | −2.60971e7 | − | 2.84706e6i | −1.08902 | − | 0.118806i | ||||
\(896\) | 1.36584e7 | + | 3.30444e6i | 0.568367 | + | 0.137508i | ||||
\(897\) | − | 1.69416e7i | − | 0.703028i | ||||||
\(898\) | −1.10381e7 | + | 4.86181e6i | −0.456778 | + | 0.201190i | ||||
\(899\) | 1.09708e7 | − | 1.09708e7i | 0.452728 | − | 0.452728i | ||||
\(900\) | −3.38741e7 | + | 2.37988e7i | −1.39400 | + | 0.979375i | ||||
\(901\) | 1.78423e7 | + | 1.78423e7i | 0.732215 | + | 0.732215i | ||||
\(902\) | −1.43077e7 | + | 3.68327e7i | −0.585534 | + | 1.50736i | ||||
\(903\) | 2.40576e7 | 0.981821 | ||||||||
\(904\) | −3.11082e7 | − | 1.05210e7i | −1.26606 | − | 0.428190i | ||||
\(905\) | −4.86544e6 | + | 4.45982e7i | −0.197470 | + | 1.81007i | ||||
\(906\) | 1.91893e7 | − | 4.93997e7i | 0.776674 | − | 1.99942i | ||||
\(907\) | −1.08111e7 | + | 1.08111e7i | −0.436366 | + | 0.436366i | −0.890787 | − | 0.454421i | \(-0.849846\pi\) |
0.454421 | + | 0.890787i | \(0.349846\pi\) | |||||||
\(908\) | −3.47082e7 | + | 1.54131e6i | −1.39707 | + | 0.0620406i | ||||
\(909\) | 2.21908e7 | − | 2.21908e7i | 0.890763 | − | 0.890763i | ||||
\(910\) | −1.23731e6 | − | 3.91345e6i | −0.0495306 | − | 0.156659i | ||||
\(911\) | −9.35392e6 | −0.373420 | −0.186710 | − | 0.982415i | \(-0.559783\pi\) | ||||
−0.186710 | + | 0.982415i | \(0.559783\pi\) | |||||||
\(912\) | 1.67462e6 | + | 1.88178e7i | 0.0666697 | + | 0.749173i | ||||
\(913\) | 33808.2i | 0.00134229i | ||||||||
\(914\) | −3.45701e6 | + | 1.52266e6i | −0.136878 | + | 0.0602889i | ||||
\(915\) | −4.70534e7 | − | 5.85772e7i | −1.85797 | − | 2.31300i | ||||
\(916\) | 1.92197e7 | − | 853506.i | 0.756849 | − | 0.0336100i | ||||
\(917\) | 9.47886e6 | − | 9.47886e6i | 0.372248 | − | 0.372248i | ||||
\(918\) | 3.94754e7 | + | 1.53342e7i | 1.54604 | + | 0.600558i | ||||
\(919\) | 7.04729e6i | 0.275254i | 0.990484 | + | 0.137627i | \(0.0439475\pi\) | ||||
−0.990484 | + | 0.137627i | \(0.956053\pi\) | |||||||
\(920\) | 3.66898e7 | − | 1.34179e7i | 1.42914 | − | 0.522653i | ||||
\(921\) | − | 3.66794e7i | − | 1.42486i | ||||||
\(922\) | −1.88634e6 | + | 4.85607e6i | −0.0730791 | + | 0.188130i | ||||
\(923\) | −2.39888e6 | + | 2.39888e6i | −0.0926837 | + | 0.0926837i | ||||
\(924\) | 2.56647e7 | + | 2.34822e7i | 0.988910 | + | 0.904814i | ||||
\(925\) | −1.88376e7 | − | 2.95147e7i | −0.723889 | − | 1.13419i | ||||
\(926\) | 1.09755e6 | + | 2.49186e6i | 0.0420628 | + | 0.0954985i | ||||
\(927\) | 5.36198e7i | 2.04940i | ||||||||
\(928\) | −1.78043e7 | − | 5.15350e6i | −0.678664 | − | 0.196441i | ||||
\(929\) | −2.89619e7 | −1.10100 | −0.550500 | − | 0.834835i | \(-0.685563\pi\) | ||||
−0.550500 | + | 0.834835i | \(0.685563\pi\) | |||||||
\(930\) | −1.18478e7 | − | 3.74731e7i | −0.449190 | − | 1.42073i | ||||
\(931\) | 5.62910e6 | − | 5.62910e6i | 0.212846 | − | 0.212846i | ||||
\(932\) | −1.14588e7 | + | 1.25238e7i | −0.432115 | + | 0.472277i | ||||
\(933\) | 3.24997e7 | − | 3.24997e7i | 1.22229 | − | 1.22229i | ||||
\(934\) | −1.75423e7 | − | 6.81429e6i | −0.657989 | − | 0.255595i | ||||
\(935\) | 5.31060e7 | + | 5.79360e6i | 1.98662 | + | 0.216730i | ||||
\(936\) | 5.68750e6 | + | 1.15007e7i | 0.212193 | + | 0.429076i | ||||
\(937\) | −6.32274e6 | −0.235265 | −0.117632 | − | 0.993057i | \(-0.537530\pi\) | ||||
−0.117632 | + | 0.993057i | \(0.537530\pi\) | |||||||
\(938\) | −1.00625e7 | − | 3.90877e6i | −0.373421 | − | 0.145055i | ||||
\(939\) | 5.17987e7 | + | 5.17987e7i | 1.91714 | + | 1.91714i | ||||
\(940\) | 1.52962e6 | − | 2.37610e7i | 0.0564632 | − | 0.877093i | ||||
\(941\) | 1.19423e7 | − | 1.19423e7i | 0.439655 | − | 0.439655i | −0.452241 | − | 0.891896i | \(-0.649375\pi\) |
0.891896 | + | 0.452241i | \(0.149375\pi\) | |||||||
\(942\) | −1.61335e7 | − | 3.66292e7i | −0.592382 | − | 1.34493i | ||||
\(943\) | − | 4.82030e7i | − | 1.76520i | ||||||
\(944\) | 2.43213e7 | − | 2.90729e7i | 0.888295 | − | 1.06184i | ||||
\(945\) | 1.84637e7 | + | 2.01430e6i | 0.672573 | + | 0.0733744i | ||||
\(946\) | −3.58572e7 | + | 1.57935e7i | −1.30271 | + | 0.573786i | ||||
\(947\) | 1.83554e7 | + | 1.83554e7i | 0.665104 | + | 0.665104i | 0.956579 | − | 0.291475i | \(-0.0941459\pi\) |
−0.291475 | + | 0.956579i | \(0.594146\pi\) | |||||||
\(948\) | −2.48515e7 | + | 1.10360e6i | −0.898115 | + | 0.0398833i | ||||
\(949\) | −796813. | − | 796813.i | −0.0287204 | − | 0.0287204i | ||||
\(950\) | 1.05883e7 | + | 7.05638e6i | 0.380642 | + | 0.253672i | ||||
\(951\) | − | 3.20224e7i | − | 1.14816i | ||||||
\(952\) | −2.22058e7 | − | 7.51016e6i | −0.794096 | − | 0.268570i | ||||
\(953\) | 2.55449e7 | 0.911113 | 0.455557 | − | 0.890207i | \(-0.349440\pi\) | ||||
0.455557 | + | 0.890207i | \(0.349440\pi\) | |||||||
\(954\) | −3.22460e7 | − | 1.25260e7i | −1.14711 | − | 0.445595i | ||||
\(955\) | −5.15716e6 | − | 6.42019e6i | −0.182979 | − | 0.227793i | ||||
\(956\) | −3.90611e6 | + | 4.26916e6i | −0.138229 | + | 0.151077i | ||||
\(957\) | −3.24444e7 | − | 3.24444e7i | −1.14514 | − | 1.14514i | ||||
\(958\) | 3.33874e7 | − | 1.47057e7i | 1.17536 | − | 0.517692i | ||||
\(959\) | −1.12143e7 | −0.393753 | ||||||||
\(960\) | −3.23777e7 | + | 3.40024e7i | −1.13388 | + | 1.19078i | ||||
\(961\) | −5.11867e6 | −0.178792 | ||||||||
\(962\) | −9.93084e6 | + | 4.37409e6i | −0.345978 | + | 0.152388i | ||||
\(963\) | 1.16202e7 | + | 1.16202e7i | 0.403783 | + | 0.403783i | ||||
\(964\) | 3.69224e6 | − | 4.03541e6i | 0.127967 | − | 0.139860i | ||||
\(965\) | 9.31262e6 | − | 7.48057e6i | 0.321924 | − | 0.258593i | ||||
\(966\) | −3.95562e7 | − | 1.53656e7i | −1.36387 | − | 0.529793i | ||||
\(967\) | −4.35726e7 | −1.49847 | −0.749234 | − | 0.662305i | \(-0.769578\pi\) | ||||
−0.749234 | + | 0.662305i | \(0.769578\pi\) | |||||||
\(968\) | −2.60518e7 | − | 8.81091e6i | −0.893611 | − | 0.302226i | ||||
\(969\) | − | 3.15148e7i | − | 1.07821i | ||||||
\(970\) | 2.27426e7 | − | 4.37727e7i | 0.776089 | − | 1.49373i | ||||
\(971\) | 2.23582e7 | + | 2.23582e7i | 0.761008 | + | 0.761008i | 0.976505 | − | 0.215496i | \(-0.0691369\pi\) |
−0.215496 | + | 0.976505i | \(0.569137\pi\) | |||||||
\(972\) | 2.44290e7 | − | 1.08484e6i | 0.829353 | − | 0.0368297i | ||||
\(973\) | −2.16401e7 | − | 2.16401e7i | −0.732787 | − | 0.732787i | ||||
\(974\) | −1.85731e6 | + | 818060.i | −0.0627315 | + | 0.0276304i | ||||
\(975\) | 1.33910e7 | + | 2.95697e6i | 0.451129 | + | 0.0996174i | ||||
\(976\) | −4.11848e7 | − | 3.44537e7i | −1.38393 | − | 1.15774i | ||||
\(977\) | 7.08778e6i | 0.237560i | 0.992921 | + | 0.118780i | \(0.0378984\pi\) | ||||
−0.992921 | + | 0.118780i | \(0.962102\pi\) | |||||||
\(978\) | 2.45856e7 | + | 5.58187e7i | 0.821929 | + | 1.86609i | ||||
\(979\) | −1.11154e6 | + | 1.11154e6i | −0.0370655 | + | 0.0370655i | ||||
\(980\) | 1.97436e7 | + | 1.27100e6i | 0.656691 | + | 0.0422747i | ||||
\(981\) | 2.92233e7 | + | 2.92233e7i | 0.969521 | + | 0.969521i | ||||
\(982\) | −2.44256e7 | − | 9.48813e6i | −0.808290 | − | 0.313980i | ||||
\(983\) | 2.29904e7 | 0.758862 | 0.379431 | − | 0.925220i | \(-0.376120\pi\) | ||||
0.379431 | + | 0.925220i | \(0.376120\pi\) | |||||||
\(984\) | 2.56811e7 | + | 5.19296e7i | 0.845522 | + | 1.70973i | ||||
\(985\) | −6.26927e6 | − | 683946.i | −0.205886 | − | 0.0224611i | ||||
\(986\) | 2.88211e7 | + | 1.11956e7i | 0.944101 | + | 0.366736i | ||||
\(987\) | −1.82885e7 | + | 1.82885e7i | −0.597564 | + | 0.597564i | ||||
\(988\) | 2.66199e6 | − | 2.90940e6i | 0.0867589 | − | 0.0948226i | ||||
\(989\) | 3.37976e7 | − | 3.37976e7i | 1.09874 | − | 1.09874i | ||||
\(990\) | −6.98316e7 | + | 2.20785e7i | −2.26446 | + | 0.715949i | ||||
\(991\) | 1.94825e7 | 0.630174 | 0.315087 | − | 0.949063i | \(-0.397966\pi\) | ||||
0.315087 | + | 0.949063i | \(0.397966\pi\) | |||||||
\(992\) | −1.35554e7 | − | 2.45994e7i | −0.437354 | − | 0.793681i | ||||
\(993\) | 1.60157e6i | 0.0515433i | ||||||||
\(994\) | 3.42532e6 | + | 7.77676e6i | 0.109960 | + | 0.249651i | ||||
\(995\) | −3.69034e7 | + | 2.96435e7i | −1.18171 | + | 0.949231i | ||||
\(996\) | 36569.8 | + | 33459.9i | 0.00116808 | + | 0.00106875i | ||||
\(997\) | −2.24729e7 | + | 2.24729e7i | −0.716013 | + | 0.716013i | −0.967786 | − | 0.251774i | \(-0.918986\pi\) |
0.251774 | + | 0.967786i | \(0.418986\pi\) | |||||||
\(998\) | −5.45350e6 | + | 1.40391e7i | −0.173320 | + | 0.446184i | ||||
\(999\) | − | 4.91053e7i | − | 1.55673i |
(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 | 80.6.q.a.69.8 | yes | 116 | |
5.4 | even | 2 | inner | 80.6.q.a.69.51 | yes | 116 | |
16.13 | even | 4 | inner | 80.6.q.a.29.51 | yes | 116 | |
80.29 | even | 4 | inner | 80.6.q.a.29.8 | ✓ | 116 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.6.q.a.29.8 | ✓ | 116 | 80.29 | even | 4 | inner | |
80.6.q.a.29.51 | yes | 116 | 16.13 | even | 4 | inner | |
80.6.q.a.69.8 | yes | 116 | 1.1 | even | 1 | trivial | |
80.6.q.a.69.51 | yes | 116 | 5.4 | even | 2 | inner |