Newspace parameters
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(72.1060139808\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 58.10 | ||
Character | \(\chi\) | \(=\) | 177.58 |
Dual form | 177.9.c.a.58.71 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 25.6289i | − | 1.60181i | −0.598793 | − | 0.800904i | \(-0.704353\pi\) | ||
0.598793 | − | 0.800904i | \(-0.295647\pi\) | |||||||
\(3\) | 46.7654 | 0.577350 | ||||||||
\(4\) | −400.842 | −1.56579 | ||||||||
\(5\) | −239.734 | −0.383574 | −0.191787 | − | 0.981437i | \(-0.561428\pi\) | ||||
−0.191787 | + | 0.981437i | \(0.561428\pi\) | |||||||
\(6\) | − | 1198.55i | − | 0.924804i | ||||||
\(7\) | −1755.35 | −0.731093 | −0.365546 | − | 0.930793i | \(-0.619118\pi\) | ||||
−0.365546 | + | 0.930793i | \(0.619118\pi\) | |||||||
\(8\) | 3712.14i | 0.906285i | ||||||||
\(9\) | 2187.00 | 0.333333 | ||||||||
\(10\) | 6144.13i | 0.614413i | ||||||||
\(11\) | 3302.81i | 0.225586i | 0.993618 | + | 0.112793i | \(0.0359797\pi\) | ||||
−0.993618 | + | 0.112793i | \(0.964020\pi\) | |||||||
\(12\) | −18745.5 | −0.904009 | ||||||||
\(13\) | 13138.8i | 0.460027i | 0.973187 | + | 0.230014i | \(0.0738771\pi\) | ||||
−0.973187 | + | 0.230014i | \(0.926123\pi\) | |||||||
\(14\) | 44987.8i | 1.17107i | ||||||||
\(15\) | −11211.3 | −0.221457 | ||||||||
\(16\) | −7477.27 | −0.114094 | ||||||||
\(17\) | 119793. | 1.43428 | 0.717141 | − | 0.696928i | \(-0.245450\pi\) | ||||
0.717141 | + | 0.696928i | \(0.245450\pi\) | |||||||
\(18\) | − | 56050.5i | − | 0.533936i | ||||||
\(19\) | 148304. | 1.13799 | 0.568994 | − | 0.822342i | \(-0.307333\pi\) | ||||
0.568994 | + | 0.822342i | \(0.307333\pi\) | |||||||
\(20\) | 96095.5 | 0.600597 | ||||||||
\(21\) | −82089.8 | −0.422097 | ||||||||
\(22\) | 84647.5 | 0.361346 | ||||||||
\(23\) | 144769.i | 0.517327i | 0.965968 | + | 0.258663i | \(0.0832820\pi\) | ||||
−0.965968 | + | 0.258663i | \(0.916718\pi\) | |||||||
\(24\) | 173600.i | 0.523244i | ||||||||
\(25\) | −333153. | −0.852871 | ||||||||
\(26\) | 336735. | 0.736876 | ||||||||
\(27\) | 102276. | 0.192450 | ||||||||
\(28\) | 703620. | 1.14474 | ||||||||
\(29\) | 397853. | 0.562511 | 0.281255 | − | 0.959633i | \(-0.409249\pi\) | ||||
0.281255 | + | 0.959633i | \(0.409249\pi\) | |||||||
\(30\) | 287332.i | 0.354731i | ||||||||
\(31\) | 1.82954e6i | 1.98105i | 0.137337 | + | 0.990524i | \(0.456146\pi\) | ||||
−0.137337 | + | 0.990524i | \(0.543854\pi\) | |||||||
\(32\) | 1.14194e6i | 1.08904i | ||||||||
\(33\) | 154457.i | 0.130242i | ||||||||
\(34\) | − | 3.07016e6i | − | 2.29745i | ||||||
\(35\) | 420818. | 0.280429 | ||||||||
\(36\) | −876641. | −0.521930 | ||||||||
\(37\) | − | 278533.i | − | 0.148617i | −0.997235 | − | 0.0743086i | \(-0.976325\pi\) | ||
0.997235 | − | 0.0743086i | \(-0.0236750\pi\) | |||||||
\(38\) | − | 3.80086e6i | − | 1.82284i | ||||||
\(39\) | 614443.i | 0.265597i | ||||||||
\(40\) | − | 889927.i | − | 0.347628i | ||||||
\(41\) | 1.92610e6 | 0.681622 | 0.340811 | − | 0.940132i | \(-0.389298\pi\) | ||||
0.340811 | + | 0.940132i | \(0.389298\pi\) | |||||||
\(42\) | 2.10387e6i | 0.676118i | ||||||||
\(43\) | − | 3.71138e6i | − | 1.08558i | −0.839869 | − | 0.542790i | \(-0.817368\pi\) | ||
0.839869 | − | 0.542790i | \(-0.182632\pi\) | |||||||
\(44\) | − | 1.32390e6i | − | 0.353221i | ||||||
\(45\) | −524298. | −0.127858 | ||||||||
\(46\) | 3.71028e6 | 0.828658 | ||||||||
\(47\) | − | 4.04454e6i | − | 0.828853i | −0.910083 | − | 0.414427i | \(-0.863982\pi\) | ||
0.910083 | − | 0.414427i | \(-0.136018\pi\) | |||||||
\(48\) | −349677. | −0.0658723 | ||||||||
\(49\) | −2.68353e6 | −0.465503 | ||||||||
\(50\) | 8.53834e6i | 1.36614i | ||||||||
\(51\) | 5.60215e6 | 0.828083 | ||||||||
\(52\) | − | 5.26660e6i | − | 0.720306i | ||||||
\(53\) | −1.28463e6 | −0.162808 | −0.0814038 | − | 0.996681i | \(-0.525940\pi\) | ||||
−0.0814038 | + | 0.996681i | \(0.525940\pi\) | |||||||
\(54\) | − | 2.62122e6i | − | 0.308268i | ||||||
\(55\) | − | 791796.i | − | 0.0865292i | ||||||
\(56\) | − | 6.51613e6i | − | 0.662579i | ||||||
\(57\) | 6.93547e6 | 0.657017 | ||||||||
\(58\) | − | 1.01966e7i | − | 0.901035i | ||||||
\(59\) | 3.67157e6 | − | 1.15477e7i | 0.303000 | − | 0.952990i | ||||
\(60\) | 4.49394e6 | 0.346755 | ||||||||
\(61\) | − | 2.00520e7i | − | 1.44823i | −0.689679 | − | 0.724115i | \(-0.742248\pi\) | ||
0.689679 | − | 0.724115i | \(-0.257752\pi\) | |||||||
\(62\) | 4.68892e7 | 3.17326 | ||||||||
\(63\) | −3.83896e6 | −0.243698 | ||||||||
\(64\) | 2.73526e7 | 1.63034 | ||||||||
\(65\) | − | 3.14983e6i | − | 0.176455i | ||||||
\(66\) | 3.95857e6 | 0.208623 | ||||||||
\(67\) | − | 6.13210e6i | − | 0.304306i | −0.988357 | − | 0.152153i | \(-0.951379\pi\) | ||
0.988357 | − | 0.152153i | \(-0.0486206\pi\) | |||||||
\(68\) | −4.80179e7 | −2.24578 | ||||||||
\(69\) | 6.77018e6i | 0.298679i | ||||||||
\(70\) | − | 1.07851e7i | − | 0.449193i | ||||||
\(71\) | 3.64592e7 | 1.43474 | 0.717372 | − | 0.696691i | \(-0.245345\pi\) | ||||
0.717372 | + | 0.696691i | \(0.245345\pi\) | |||||||
\(72\) | 8.11846e6i | 0.302095i | ||||||||
\(73\) | − | 1.88627e7i | − | 0.664221i | −0.943240 | − | 0.332111i | \(-0.892239\pi\) | ||
0.943240 | − | 0.332111i | \(-0.107761\pi\) | |||||||
\(74\) | −7.13849e6 | −0.238056 | ||||||||
\(75\) | −1.55800e7 | −0.492405 | ||||||||
\(76\) | −5.94463e7 | −1.78185 | ||||||||
\(77\) | − | 5.79760e6i | − | 0.164925i | ||||||
\(78\) | 1.57475e7 | 0.425435 | ||||||||
\(79\) | 7.26205e7 | 1.86445 | 0.932225 | − | 0.361879i | \(-0.117865\pi\) | ||||
0.932225 | + | 0.361879i | \(0.117865\pi\) | |||||||
\(80\) | 1.79256e6 | 0.0437636 | ||||||||
\(81\) | 4.78297e6 | 0.111111 | ||||||||
\(82\) | − | 4.93639e7i | − | 1.09183i | ||||||
\(83\) | 5.12745e7i | 1.08041i | 0.841533 | + | 0.540205i | \(0.181653\pi\) | ||||
−0.841533 | + | 0.540205i | \(0.818347\pi\) | |||||||
\(84\) | 3.29050e7 | 0.660914 | ||||||||
\(85\) | −2.87184e7 | −0.550154 | ||||||||
\(86\) | −9.51187e7 | −1.73889 | ||||||||
\(87\) | 1.86058e7 | 0.324766 | ||||||||
\(88\) | −1.22605e7 | −0.204446 | ||||||||
\(89\) | 4.51465e7i | 0.719555i | 0.933038 | + | 0.359778i | \(0.117147\pi\) | ||||
−0.933038 | + | 0.359778i | \(0.882853\pi\) | |||||||
\(90\) | 1.34372e7i | 0.204804i | ||||||||
\(91\) | − | 2.30633e7i | − | 0.336323i | ||||||
\(92\) | − | 5.80296e7i | − | 0.810024i | ||||||
\(93\) | 8.55591e7i | 1.14376i | ||||||||
\(94\) | −1.03657e8 | −1.32766 | ||||||||
\(95\) | −3.55534e7 | −0.436503 | ||||||||
\(96\) | 5.34034e7i | 0.628759i | ||||||||
\(97\) | 6.88077e7i | 0.777230i | 0.921400 | + | 0.388615i | \(0.127046\pi\) | ||||
−0.921400 | + | 0.388615i | \(0.872954\pi\) | |||||||
\(98\) | 6.87761e7i | 0.745647i | ||||||||
\(99\) | 7.22324e6i | 0.0751954i | ||||||||
\(100\) | 1.33542e8 | 1.33542 | ||||||||
\(101\) | − | 1.23394e8i | − | 1.18579i | −0.805280 | − | 0.592895i | \(-0.797985\pi\) | ||
0.805280 | − | 0.592895i | \(-0.202015\pi\) | |||||||
\(102\) | − | 1.43577e8i | − | 1.32643i | ||||||
\(103\) | − | 4.13868e7i | − | 0.367716i | −0.982953 | − | 0.183858i | \(-0.941141\pi\) | ||
0.982953 | − | 0.183858i | \(-0.0588587\pi\) | |||||||
\(104\) | −4.87733e7 | −0.416916 | ||||||||
\(105\) | 1.96797e7 | 0.161906 | ||||||||
\(106\) | 3.29237e7i | 0.260787i | ||||||||
\(107\) | −1.55501e8 | −1.18631 | −0.593156 | − | 0.805088i | \(-0.702118\pi\) | ||||
−0.593156 | + | 0.805088i | \(0.702118\pi\) | |||||||
\(108\) | −4.09965e7 | −0.301336 | ||||||||
\(109\) | − | 1.54559e8i | − | 1.09493i | −0.836827 | − | 0.547467i | \(-0.815592\pi\) | ||
0.836827 | − | 0.547467i | \(-0.184408\pi\) | |||||||
\(110\) | −2.02929e7 | −0.138603 | ||||||||
\(111\) | − | 1.30257e7i | − | 0.0858042i | ||||||
\(112\) | 1.31253e7 | 0.0834134 | ||||||||
\(113\) | 6.02902e7i | 0.369771i | 0.982760 | + | 0.184885i | \(0.0591914\pi\) | ||||
−0.982760 | + | 0.184885i | \(0.940809\pi\) | |||||||
\(114\) | − | 1.77749e8i | − | 1.05242i | ||||||
\(115\) | − | 3.47061e7i | − | 0.198433i | ||||||
\(116\) | −1.59476e8 | −0.880773 | ||||||||
\(117\) | 2.87347e7i | 0.153342i | ||||||||
\(118\) | −2.95956e8 | − | 9.40983e7i | −1.52651 | − | 0.485349i | ||||
\(119\) | −2.10279e8 | −1.04859 | ||||||||
\(120\) | − | 4.16178e7i | − | 0.200703i | ||||||
\(121\) | 2.03450e8 | 0.949111 | ||||||||
\(122\) | −5.13911e8 | −2.31979 | ||||||||
\(123\) | 9.00749e7 | 0.393535 | ||||||||
\(124\) | − | 7.33356e8i | − | 3.10190i | ||||||
\(125\) | 1.73514e8 | 0.710714 | ||||||||
\(126\) | 9.83884e7i | 0.390357i | ||||||||
\(127\) | −5.45221e7 | −0.209584 | −0.104792 | − | 0.994494i | \(-0.533418\pi\) | ||||
−0.104792 | + | 0.994494i | \(0.533418\pi\) | |||||||
\(128\) | − | 4.08680e8i | − | 1.52245i | ||||||
\(129\) | − | 1.73564e8i | − | 0.626760i | ||||||
\(130\) | −8.07267e7 | −0.282647 | ||||||||
\(131\) | − | 1.30574e8i | − | 0.443375i | −0.975118 | − | 0.221687i | \(-0.928844\pi\) | ||
0.975118 | − | 0.221687i | \(-0.0711565\pi\) | |||||||
\(132\) | − | 6.19129e7i | − | 0.203932i | ||||||
\(133\) | −2.60325e8 | −0.831974 | ||||||||
\(134\) | −1.57159e8 | −0.487440 | ||||||||
\(135\) | −2.45190e7 | −0.0738189 | ||||||||
\(136\) | 4.44688e8i | 1.29987i | ||||||||
\(137\) | 2.49809e8 | 0.709131 | 0.354566 | − | 0.935031i | \(-0.384629\pi\) | ||||
0.354566 | + | 0.935031i | \(0.384629\pi\) | |||||||
\(138\) | 1.73513e8 | 0.478426 | ||||||||
\(139\) | −1.91233e8 | −0.512277 | −0.256138 | − | 0.966640i | \(-0.582450\pi\) | ||||
−0.256138 | + | 0.966640i | \(0.582450\pi\) | |||||||
\(140\) | −1.68682e8 | −0.439092 | ||||||||
\(141\) | − | 1.89144e8i | − | 0.478539i | ||||||
\(142\) | − | 9.34411e8i | − | 2.29818i | ||||||
\(143\) | −4.33951e7 | −0.103776 | ||||||||
\(144\) | −1.63528e7 | −0.0380314 | ||||||||
\(145\) | −9.53790e7 | −0.215765 | ||||||||
\(146\) | −4.83431e8 | −1.06395 | ||||||||
\(147\) | −1.25496e8 | −0.268758 | ||||||||
\(148\) | 1.11648e8i | 0.232703i | ||||||||
\(149\) | 8.24265e8i | 1.67233i | 0.548478 | + | 0.836165i | \(0.315207\pi\) | ||||
−0.548478 | + | 0.836165i | \(0.684793\pi\) | |||||||
\(150\) | 3.99299e8i | 0.788738i | ||||||||
\(151\) | 5.40833e8i | 1.04029i | 0.854077 | + | 0.520147i | \(0.174123\pi\) | ||||
−0.854077 | + | 0.520147i | \(0.825877\pi\) | |||||||
\(152\) | 5.50524e8i | 1.03134i | ||||||||
\(153\) | 2.61987e8 | 0.478094 | ||||||||
\(154\) | −1.48586e8 | −0.264177 | ||||||||
\(155\) | − | 4.38603e8i | − | 0.759880i | ||||||
\(156\) | − | 2.46295e8i | − | 0.415869i | ||||||
\(157\) | 1.06979e9i | 1.76076i | 0.474272 | + | 0.880379i | \(0.342711\pi\) | ||||
−0.474272 | + | 0.880379i | \(0.657289\pi\) | |||||||
\(158\) | − | 1.86119e9i | − | 2.98649i | ||||||
\(159\) | −6.00762e7 | −0.0939970 | ||||||||
\(160\) | − | 2.73763e8i | − | 0.417729i | ||||||
\(161\) | − | 2.54121e8i | − | 0.378214i | ||||||
\(162\) | − | 1.22582e8i | − | 0.177979i | ||||||
\(163\) | 1.06110e9 | 1.50316 | 0.751579 | − | 0.659643i | \(-0.229293\pi\) | ||||
0.751579 | + | 0.659643i | \(0.229293\pi\) | |||||||
\(164\) | −7.72062e8 | −1.06728 | ||||||||
\(165\) | − | 3.70286e7i | − | 0.0499576i | ||||||
\(166\) | 1.31411e9 | 1.73061 | ||||||||
\(167\) | 6.71744e6 | 0.00863650 | 0.00431825 | − | 0.999991i | \(-0.498625\pi\) | ||||
0.00431825 | + | 0.999991i | \(0.498625\pi\) | |||||||
\(168\) | − | 3.04729e8i | − | 0.382540i | ||||||
\(169\) | 6.43101e8 | 0.788375 | ||||||||
\(170\) | 7.36022e8i | 0.881241i | ||||||||
\(171\) | 3.24340e8 | 0.379329 | ||||||||
\(172\) | 1.48768e9i | 1.69979i | ||||||||
\(173\) | 1.61132e9i | 1.79887i | 0.437060 | + | 0.899433i | \(0.356020\pi\) | ||||
−0.437060 | + | 0.899433i | \(0.643980\pi\) | |||||||
\(174\) | − | 4.76846e8i | − | 0.520213i | ||||||
\(175\) | 5.84801e8 | 0.623528 | ||||||||
\(176\) | − | 2.46960e7i | − | 0.0257381i | ||||||
\(177\) | 1.71702e8 | − | 5.40034e8i | 0.174937 | − | 0.550209i | ||||
\(178\) | 1.15706e9 | 1.15259 | ||||||||
\(179\) | − | 4.00114e7i | − | 0.0389737i | −0.999810 | − | 0.0194869i | \(-0.993797\pi\) | ||
0.999810 | − | 0.0194869i | \(-0.00620325\pi\) | |||||||
\(180\) | 2.10161e8 | 0.200199 | ||||||||
\(181\) | 7.36437e8 | 0.686153 | 0.343077 | − | 0.939307i | \(-0.388531\pi\) | ||||
0.343077 | + | 0.939307i | \(0.388531\pi\) | |||||||
\(182\) | −5.91088e8 | −0.538725 | ||||||||
\(183\) | − | 9.37738e8i | − | 0.836136i | ||||||
\(184\) | −5.37404e8 | −0.468845 | ||||||||
\(185\) | 6.67737e7i | 0.0570058i | ||||||||
\(186\) | 2.19279e9 | 1.83208 | ||||||||
\(187\) | 3.95652e8i | 0.323555i | ||||||||
\(188\) | 1.62122e9i | 1.29781i | ||||||||
\(189\) | −1.79530e8 | −0.140699 | ||||||||
\(190\) | 9.11196e8i | 0.699194i | ||||||||
\(191\) | − | 1.70160e9i | − | 1.27857i | −0.768971 | − | 0.639283i | \(-0.779231\pi\) | ||
0.768971 | − | 0.639283i | \(-0.220769\pi\) | |||||||
\(192\) | 1.27915e9 | 0.941278 | ||||||||
\(193\) | 2.42920e9 | 1.75079 | 0.875394 | − | 0.483410i | \(-0.160602\pi\) | ||||
0.875394 | + | 0.483410i | \(0.160602\pi\) | |||||||
\(194\) | 1.76347e9 | 1.24497 | ||||||||
\(195\) | − | 1.47303e8i | − | 0.101876i | ||||||
\(196\) | 1.07567e9 | 0.728880 | ||||||||
\(197\) | −2.28650e9 | −1.51812 | −0.759059 | − | 0.651022i | \(-0.774341\pi\) | ||||
−0.759059 | + | 0.651022i | \(0.774341\pi\) | |||||||
\(198\) | 1.85124e8 | 0.120449 | ||||||||
\(199\) | 2.26762e9 | 1.44597 | 0.722983 | − | 0.690865i | \(-0.242770\pi\) | ||||
0.722983 | + | 0.690865i | \(0.242770\pi\) | |||||||
\(200\) | − | 1.23671e9i | − | 0.772944i | ||||||
\(201\) | − | 2.86770e8i | − | 0.175691i | ||||||
\(202\) | −3.16245e9 | −1.89941 | ||||||||
\(203\) | −6.98373e8 | −0.411248 | ||||||||
\(204\) | −2.24558e9 | −1.29660 | ||||||||
\(205\) | −4.61752e8 | −0.261453 | ||||||||
\(206\) | −1.06070e9 | −0.589011 | ||||||||
\(207\) | 3.16610e8i | 0.172442i | ||||||||
\(208\) | − | 9.82427e7i | − | 0.0524864i | ||||||
\(209\) | 4.89819e8i | 0.256714i | ||||||||
\(210\) | − | 5.04370e8i | − | 0.259342i | ||||||
\(211\) | 1.01729e9i | 0.513234i | 0.966513 | + | 0.256617i | \(0.0826080\pi\) | ||||
−0.966513 | + | 0.256617i | \(0.917392\pi\) | |||||||
\(212\) | 5.14934e8 | 0.254922 | ||||||||
\(213\) | 1.70503e9 | 0.828349 | ||||||||
\(214\) | 3.98533e9i | 1.90024i | ||||||||
\(215\) | 8.89744e8i | 0.416401i | ||||||||
\(216\) | 3.79663e8i | 0.174415i | ||||||||
\(217\) | − | 3.21149e9i | − | 1.44833i | ||||||
\(218\) | −3.96118e9 | −1.75387 | ||||||||
\(219\) | − | 8.82122e8i | − | 0.383488i | ||||||
\(220\) | 3.17385e8i | 0.135486i | ||||||||
\(221\) | 1.57394e9i | 0.659809i | ||||||||
\(222\) | −3.33834e8 | −0.137442 | ||||||||
\(223\) | 3.43376e9 | 1.38852 | 0.694258 | − | 0.719727i | \(-0.255733\pi\) | ||||
0.694258 | + | 0.719727i | \(0.255733\pi\) | |||||||
\(224\) | − | 2.00451e9i | − | 0.796191i | ||||||
\(225\) | −7.28605e8 | −0.284290 | ||||||||
\(226\) | 1.54517e9 | 0.592302 | ||||||||
\(227\) | − | 8.60197e8i | − | 0.323962i | −0.986794 | − | 0.161981i | \(-0.948212\pi\) | ||
0.986794 | − | 0.161981i | \(-0.0517884\pi\) | |||||||
\(228\) | −2.78003e9 | −1.02875 | ||||||||
\(229\) | − | 1.87481e9i | − | 0.681734i | −0.940112 | − | 0.340867i | \(-0.889279\pi\) | ||
0.940112 | − | 0.340867i | \(-0.110721\pi\) | |||||||
\(230\) | −8.89480e8 | −0.317852 | ||||||||
\(231\) | − | 2.71127e8i | − | 0.0952192i | ||||||
\(232\) | 1.47689e9i | 0.509795i | ||||||||
\(233\) | − | 2.13434e9i | − | 0.724167i | −0.932146 | − | 0.362084i | \(-0.882065\pi\) | ||
0.932146 | − | 0.362084i | \(-0.117935\pi\) | |||||||
\(234\) | 7.36438e8 | 0.245625 | ||||||||
\(235\) | 9.69614e8i | 0.317927i | ||||||||
\(236\) | −1.47172e9 | + | 4.62881e9i | −0.474435 | + | 1.49218i | ||||
\(237\) | 3.39612e9 | 1.07644 | ||||||||
\(238\) | 5.38922e9i | 1.67965i | ||||||||
\(239\) | −1.40442e9 | −0.430434 | −0.215217 | − | 0.976566i | \(-0.569046\pi\) | ||||
−0.215217 | + | 0.976566i | \(0.569046\pi\) | |||||||
\(240\) | 8.38296e7 | 0.0252669 | ||||||||
\(241\) | −2.58892e9 | −0.767452 | −0.383726 | − | 0.923447i | \(-0.625359\pi\) | ||||
−0.383726 | + | 0.923447i | \(0.625359\pi\) | |||||||
\(242\) | − | 5.21421e9i | − | 1.52029i | ||||||
\(243\) | 2.23677e8 | 0.0641500 | ||||||||
\(244\) | 8.03767e9i | 2.26762i | ||||||||
\(245\) | 6.43334e8 | 0.178555 | ||||||||
\(246\) | − | 2.30852e9i | − | 0.630367i | ||||||
\(247\) | 1.94854e9i | 0.523505i | ||||||||
\(248\) | −6.79152e9 | −1.79540 | ||||||||
\(249\) | 2.39787e9i | 0.623775i | ||||||||
\(250\) | − | 4.44698e9i | − | 1.13843i | ||||||
\(251\) | 3.85692e9 | 0.971731 | 0.485866 | − | 0.874033i | \(-0.338504\pi\) | ||||
0.485866 | + | 0.874033i | \(0.338504\pi\) | |||||||
\(252\) | 1.53882e9 | 0.381579 | ||||||||
\(253\) | −4.78145e8 | −0.116702 | ||||||||
\(254\) | 1.39734e9i | 0.335713i | ||||||||
\(255\) | −1.34303e9 | −0.317632 | ||||||||
\(256\) | −3.47177e9 | −0.808335 | ||||||||
\(257\) | 7.36020e9 | 1.68716 | 0.843582 | − | 0.537000i | \(-0.180443\pi\) | ||||
0.843582 | + | 0.537000i | \(0.180443\pi\) | |||||||
\(258\) | −4.44826e9 | −1.00395 | ||||||||
\(259\) | 4.88923e8i | 0.108653i | ||||||||
\(260\) | 1.26258e9i | 0.276291i | ||||||||
\(261\) | 8.70105e8 | 0.187504 | ||||||||
\(262\) | −3.34647e9 | −0.710201 | ||||||||
\(263\) | 5.56299e9 | 1.16275 | 0.581373 | − | 0.813637i | \(-0.302516\pi\) | ||||
0.581373 | + | 0.813637i | \(0.302516\pi\) | |||||||
\(264\) | −5.73367e8 | −0.118037 | ||||||||
\(265\) | 3.07970e8 | 0.0624489 | ||||||||
\(266\) | 6.67186e9i | 1.33266i | ||||||||
\(267\) | 2.11129e9i | 0.415436i | ||||||||
\(268\) | 2.45800e9i | 0.476479i | ||||||||
\(269\) | 1.88061e9i | 0.359162i | 0.983743 | + | 0.179581i | \(0.0574741\pi\) | ||||
−0.983743 | + | 0.179581i | \(0.942526\pi\) | |||||||
\(270\) | 6.28396e8i | 0.118244i | ||||||||
\(271\) | −5.55098e9 | −1.02918 | −0.514592 | − | 0.857435i | \(-0.672056\pi\) | ||||
−0.514592 | + | 0.857435i | \(0.672056\pi\) | |||||||
\(272\) | −8.95722e8 | −0.163643 | ||||||||
\(273\) | − | 1.07856e9i | − | 0.194176i | ||||||
\(274\) | − | 6.40235e9i | − | 1.13589i | ||||||
\(275\) | − | 1.10034e9i | − | 0.192396i | ||||||
\(276\) | − | 2.71377e9i | − | 0.467668i | ||||||
\(277\) | −7.43367e9 | −1.26265 | −0.631327 | − | 0.775517i | \(-0.717489\pi\) | ||||
−0.631327 | + | 0.775517i | \(0.717489\pi\) | |||||||
\(278\) | 4.90111e9i | 0.820569i | ||||||||
\(279\) | 4.00120e9i | 0.660350i | ||||||||
\(280\) | 1.56214e9i | 0.254148i | ||||||||
\(281\) | 2.25008e9 | 0.360888 | 0.180444 | − | 0.983585i | \(-0.442247\pi\) | ||||
0.180444 | + | 0.983585i | \(0.442247\pi\) | |||||||
\(282\) | −4.84757e9 | −0.766527 | ||||||||
\(283\) | − | 1.89174e9i | − | 0.294928i | −0.989067 | − | 0.147464i | \(-0.952889\pi\) | ||
0.989067 | − | 0.147464i | \(-0.0471111\pi\) | |||||||
\(284\) | −1.46144e10 | −2.24650 | ||||||||
\(285\) | −1.66267e9 | −0.252015 | ||||||||
\(286\) | 1.11217e9i | 0.166229i | ||||||||
\(287\) | −3.38099e9 | −0.498329 | ||||||||
\(288\) | 2.49743e9i | 0.363014i | ||||||||
\(289\) | 7.37453e9 | 1.05717 | ||||||||
\(290\) | 2.44446e9i | 0.345614i | ||||||||
\(291\) | 3.21782e9i | 0.448734i | ||||||||
\(292\) | 7.56097e9i | 1.04003i | ||||||||
\(293\) | 2.55240e9 | 0.346320 | 0.173160 | − | 0.984894i | \(-0.444602\pi\) | ||||
0.173160 | + | 0.984894i | \(0.444602\pi\) | |||||||
\(294\) | 3.21634e9i | 0.430499i | ||||||||
\(295\) | −8.80199e8 | + | 2.76838e9i | −0.116223 | + | 0.365543i | ||||
\(296\) | 1.03395e9 | 0.134690 | ||||||||
\(297\) | 3.37798e8i | 0.0434141i | ||||||||
\(298\) | 2.11250e10 | 2.67875 | ||||||||
\(299\) | −1.90210e9 | −0.237984 | ||||||||
\(300\) | 6.24512e9 | 0.771002 | ||||||||
\(301\) | 6.51479e9i | 0.793660i | ||||||||
\(302\) | 1.38610e10 | 1.66635 | ||||||||
\(303\) | − | 5.77056e9i | − | 0.684616i | ||||||
\(304\) | −1.10891e9 | −0.129838 | ||||||||
\(305\) | 4.80714e9i | 0.555504i | ||||||||
\(306\) | − | 6.71444e9i | − | 0.765815i | ||||||
\(307\) | 8.22450e9 | 0.925883 | 0.462942 | − | 0.886389i | \(-0.346794\pi\) | ||||
0.462942 | + | 0.886389i | \(0.346794\pi\) | |||||||
\(308\) | 2.32392e9i | 0.258237i | ||||||||
\(309\) | − | 1.93547e9i | − | 0.212301i | ||||||
\(310\) | −1.12409e10 | −1.21718 | ||||||||
\(311\) | −4.06228e9 | −0.434239 | −0.217119 | − | 0.976145i | \(-0.569666\pi\) | ||||
−0.217119 | + | 0.976145i | \(0.569666\pi\) | |||||||
\(312\) | −2.28090e9 | −0.240707 | ||||||||
\(313\) | − | 1.18792e9i | − | 0.123768i | −0.998083 | − | 0.0618840i | \(-0.980289\pi\) | ||
0.998083 | − | 0.0618840i | \(-0.0197109\pi\) | |||||||
\(314\) | 2.74175e10 | 2.82039 | ||||||||
\(315\) | 9.20329e8 | 0.0934762 | ||||||||
\(316\) | −2.91093e10 | −2.91934 | ||||||||
\(317\) | −4.81904e9 | −0.477225 | −0.238613 | − | 0.971115i | \(-0.576693\pi\) | ||||
−0.238613 | + | 0.971115i | \(0.576693\pi\) | |||||||
\(318\) | 1.53969e9i | 0.150565i | ||||||||
\(319\) | 1.31403e9i | 0.126895i | ||||||||
\(320\) | −6.55735e9 | −0.625358 | ||||||||
\(321\) | −7.27207e9 | −0.684917 | ||||||||
\(322\) | −6.51285e9 | −0.605826 | ||||||||
\(323\) | 1.77657e10 | 1.63220 | ||||||||
\(324\) | −1.91721e9 | −0.173977 | ||||||||
\(325\) | − | 4.37724e9i | − | 0.392344i | ||||||
\(326\) | − | 2.71948e10i | − | 2.40777i | ||||||
\(327\) | − | 7.22801e9i | − | 0.632161i | ||||||
\(328\) | 7.14997e9i | 0.617744i | ||||||||
\(329\) | 7.09960e9i | 0.605969i | ||||||||
\(330\) | −9.49004e8 | −0.0800225 | ||||||||
\(331\) | −7.42414e9 | −0.618492 | −0.309246 | − | 0.950982i | \(-0.600077\pi\) | ||||
−0.309246 | + | 0.950982i | \(0.600077\pi\) | |||||||
\(332\) | − | 2.05530e10i | − | 1.69170i | ||||||
\(333\) | − | 6.09151e8i | − | 0.0495391i | ||||||
\(334\) | − | 1.72161e8i | − | 0.0138340i | ||||||
\(335\) | 1.47007e9i | 0.116724i | ||||||||
\(336\) | 6.13807e8 | 0.0481587 | ||||||||
\(337\) | − | 1.50440e10i | − | 1.16639i | −0.812332 | − | 0.583196i | \(-0.801802\pi\) | ||
0.812332 | − | 0.583196i | \(-0.198198\pi\) | |||||||
\(338\) | − | 1.64820e10i | − | 1.26282i | ||||||
\(339\) | 2.81949e9i | 0.213487i | ||||||||
\(340\) | 1.15115e10 | 0.861425 | ||||||||
\(341\) | −6.04262e9 | −0.446898 | ||||||||
\(342\) | − | 8.31249e9i | − | 0.607612i | ||||||
\(343\) | 1.48298e10 | 1.07142 | ||||||||
\(344\) | 1.37772e10 | 0.983845 | ||||||||
\(345\) | − | 1.62304e9i | − | 0.114565i | ||||||
\(346\) | 4.12965e10 | 2.88144 | ||||||||
\(347\) | − | 1.82555e10i | − | 1.25915i | −0.776941 | − | 0.629573i | \(-0.783230\pi\) | ||
0.776941 | − | 0.629573i | \(-0.216770\pi\) | |||||||
\(348\) | −7.45797e9 | −0.508515 | ||||||||
\(349\) | − | 3.56777e9i | − | 0.240489i | −0.992744 | − | 0.120245i | \(-0.961632\pi\) | ||
0.992744 | − | 0.120245i | \(-0.0383679\pi\) | |||||||
\(350\) | − | 1.49878e10i | − | 0.998772i | ||||||
\(351\) | 1.34379e9i | 0.0885323i | ||||||||
\(352\) | −3.77162e9 | −0.245673 | ||||||||
\(353\) | 4.28882e9i | 0.276210i | 0.990418 | + | 0.138105i | \(0.0441011\pi\) | ||||
−0.990418 | + | 0.138105i | \(0.955899\pi\) | |||||||
\(354\) | −1.38405e10 | − | 4.40054e9i | −0.881330 | − | 0.280216i | ||||
\(355\) | −8.74052e9 | −0.550331 | ||||||||
\(356\) | − | 1.80966e10i | − | 1.12667i | ||||||
\(357\) | −9.83376e9 | −0.605406 | ||||||||
\(358\) | −1.02545e9 | −0.0624284 | ||||||||
\(359\) | −6.19358e9 | −0.372876 | −0.186438 | − | 0.982467i | \(-0.559694\pi\) | ||||
−0.186438 | + | 0.982467i | \(0.559694\pi\) | |||||||
\(360\) | − | 1.94627e9i | − | 0.115876i | ||||||
\(361\) | 5.01040e9 | 0.295015 | ||||||||
\(362\) | − | 1.88741e10i | − | 1.09909i | ||||||
\(363\) | 9.51443e9 | 0.547969 | ||||||||
\(364\) | 9.24475e9i | 0.526611i | ||||||||
\(365\) | 4.52203e9i | 0.254778i | ||||||||
\(366\) | −2.40332e10 | −1.33933 | ||||||||
\(367\) | 2.89548e10i | 1.59609i | 0.602599 | + | 0.798044i | \(0.294132\pi\) | ||||
−0.602599 | + | 0.798044i | \(0.705868\pi\) | |||||||
\(368\) | − | 1.08248e9i | − | 0.0590239i | ||||||
\(369\) | 4.21238e9 | 0.227207 | ||||||||
\(370\) | 1.71134e9 | 0.0913123 | ||||||||
\(371\) | 2.25498e9 | 0.119028 | ||||||||
\(372\) | − | 3.42957e10i | − | 1.79089i | ||||||
\(373\) | 2.97339e10 | 1.53609 | 0.768045 | − | 0.640395i | \(-0.221230\pi\) | ||||
0.768045 | + | 0.640395i | \(0.221230\pi\) | |||||||
\(374\) | 1.01401e10 | 0.518272 | ||||||||
\(375\) | 8.11445e9 | 0.410331 | ||||||||
\(376\) | 1.50139e10 | 0.751177 | ||||||||
\(377\) | 5.22733e9i | 0.258770i | ||||||||
\(378\) | 4.60117e9i | 0.225373i | ||||||||
\(379\) | −2.01521e10 | −0.976707 | −0.488353 | − | 0.872646i | \(-0.662402\pi\) | ||||
−0.488353 | + | 0.872646i | \(0.662402\pi\) | |||||||
\(380\) | 1.42513e10 | 0.683471 | ||||||||
\(381\) | −2.54975e9 | −0.121003 | ||||||||
\(382\) | −4.36101e10 | −2.04802 | ||||||||
\(383\) | 1.58914e10 | 0.738529 | 0.369265 | − | 0.929324i | \(-0.379610\pi\) | ||||
0.369265 | + | 0.929324i | \(0.379610\pi\) | |||||||
\(384\) | − | 1.91121e10i | − | 0.878989i | ||||||
\(385\) | 1.38988e9i | 0.0632608i | ||||||||
\(386\) | − | 6.22577e10i | − | 2.80443i | ||||||
\(387\) | − | 8.11679e9i | − | 0.361860i | ||||||
\(388\) | − | 2.75810e10i | − | 1.21698i | ||||||
\(389\) | 2.81843e10 | 1.23086 | 0.615431 | − | 0.788191i | \(-0.288982\pi\) | ||||
0.615431 | + | 0.788191i | \(0.288982\pi\) | |||||||
\(390\) | −3.77522e9 | −0.163186 | ||||||||
\(391\) | 1.73423e10i | 0.741992i | ||||||||
\(392\) | − | 9.96166e9i | − | 0.421879i | ||||||
\(393\) | − | 6.10634e9i | − | 0.255983i | ||||||
\(394\) | 5.86004e10i | 2.43173i | ||||||||
\(395\) | −1.74096e10 | −0.715155 | ||||||||
\(396\) | − | 2.89538e9i | − | 0.117740i | ||||||
\(397\) | 3.92674e10i | 1.58078i | 0.612607 | + | 0.790388i | \(0.290121\pi\) | ||||
−0.612607 | + | 0.790388i | \(0.709879\pi\) | |||||||
\(398\) | − | 5.81167e10i | − | 2.31616i | ||||||
\(399\) | −1.21742e10 | −0.480341 | ||||||||
\(400\) | 2.49107e9 | 0.0973075 | ||||||||
\(401\) | − | 1.00645e10i | − | 0.389239i | −0.980879 | − | 0.194619i | \(-0.937653\pi\) | ||
0.980879 | − | 0.194619i | \(-0.0623471\pi\) | |||||||
\(402\) | −7.34961e9 | −0.281423 | ||||||||
\(403\) | −2.40380e10 | −0.911337 | ||||||||
\(404\) | 4.94614e10i | 1.85670i | ||||||||
\(405\) | −1.14664e9 | −0.0426194 | ||||||||
\(406\) | 1.78986e10i | 0.658740i | ||||||||
\(407\) | 9.19940e8 | 0.0335260 | ||||||||
\(408\) | 2.07960e10i | 0.750480i | ||||||||
\(409\) | − | 1.66826e10i | − | 0.596171i | −0.954539 | − | 0.298085i | \(-0.903652\pi\) | ||
0.954539 | − | 0.298085i | \(-0.0963480\pi\) | |||||||
\(410\) | 1.18342e10i | 0.418797i | ||||||||
\(411\) | 1.16824e10 | 0.409417 | ||||||||
\(412\) | 1.65896e10i | 0.575766i | ||||||||
\(413\) | −6.44490e9 | + | 2.02704e10i | −0.221521 | + | 0.696725i | ||||
\(414\) | 8.11438e9 | 0.276219 | ||||||||
\(415\) | − | 1.22922e10i | − | 0.414418i | ||||||
\(416\) | −1.50038e10 | −0.500989 | ||||||||
\(417\) | −8.94310e9 | −0.295763 | ||||||||
\(418\) | 1.25535e10 | 0.411207 | ||||||||
\(419\) | 1.14293e9i | 0.0370820i | 0.999828 | + | 0.0185410i | \(0.00590212\pi\) | ||||
−0.999828 | + | 0.0185410i | \(0.994098\pi\) | |||||||
\(420\) | −7.88846e9 | −0.253510 | ||||||||
\(421\) | 2.00529e10i | 0.638334i | 0.947698 | + | 0.319167i | \(0.103403\pi\) | ||||
−0.947698 | + | 0.319167i | \(0.896597\pi\) | |||||||
\(422\) | 2.60721e10 | 0.822103 | ||||||||
\(423\) | − | 8.84541e9i | − | 0.276284i | ||||||
\(424\) | − | 4.76873e9i | − | 0.147550i | ||||||
\(425\) | −3.99093e10 | −1.22326 | ||||||||
\(426\) | − | 4.36981e10i | − | 1.32686i | ||||||
\(427\) | 3.51983e10i | 1.05879i | ||||||||
\(428\) | 6.23314e10 | 1.85751 | ||||||||
\(429\) | −2.02939e9 | −0.0599150 | ||||||||
\(430\) | 2.28032e10 | 0.666994 | ||||||||
\(431\) | 3.68452e10i | 1.06776i | 0.845562 | + | 0.533878i | \(0.179266\pi\) | ||||
−0.845562 | + | 0.533878i | \(0.820734\pi\) | |||||||
\(432\) | −7.64744e8 | −0.0219574 | ||||||||
\(433\) | −1.93863e10 | −0.551498 | −0.275749 | − | 0.961230i | \(-0.588926\pi\) | ||||
−0.275749 | + | 0.961230i | \(0.588926\pi\) | |||||||
\(434\) | −8.23071e10 | −2.31995 | ||||||||
\(435\) | −4.46043e9 | −0.124572 | ||||||||
\(436\) | 6.19537e10i | 1.71444i | ||||||||
\(437\) | 2.14698e10i | 0.588711i | ||||||||
\(438\) | −2.26078e10 | −0.614275 | ||||||||
\(439\) | −3.11626e10 | −0.839025 | −0.419513 | − | 0.907750i | \(-0.637799\pi\) | ||||
−0.419513 | + | 0.907750i | \(0.637799\pi\) | |||||||
\(440\) | 2.93926e9 | 0.0784201 | ||||||||
\(441\) | −5.86889e9 | −0.155168 | ||||||||
\(442\) | 4.03383e10 | 1.05689 | ||||||||
\(443\) | 6.59173e9i | 0.171153i | 0.996332 | + | 0.0855766i | \(0.0272732\pi\) | ||||
−0.996332 | + | 0.0855766i | \(0.972727\pi\) | |||||||
\(444\) | 5.22124e9i | 0.134351i | ||||||||
\(445\) | − | 1.08232e10i | − | 0.276003i | ||||||
\(446\) | − | 8.80036e10i | − | 2.22413i | ||||||
\(447\) | 3.85471e10i | 0.965520i | ||||||||
\(448\) | −4.80135e10 | −1.19193 | ||||||||
\(449\) | −4.41656e10 | −1.08667 | −0.543336 | − | 0.839515i | \(-0.682839\pi\) | ||||
−0.543336 | + | 0.839515i | \(0.682839\pi\) | |||||||
\(450\) | 1.86734e10i | 0.455378i | ||||||||
\(451\) | 6.36155e9i | 0.153765i | ||||||||
\(452\) | − | 2.41668e10i | − | 0.578983i | ||||||
\(453\) | 2.52923e10i | 0.600614i | ||||||||
\(454\) | −2.20459e10 | −0.518925 | ||||||||
\(455\) | 5.52906e9i | 0.129005i | ||||||||
\(456\) | 2.57455e10i | 0.595445i | ||||||||
\(457\) | − | 4.56812e10i | − | 1.04730i | −0.851933 | − | 0.523651i | \(-0.824569\pi\) | ||
0.851933 | − | 0.523651i | \(-0.175431\pi\) | |||||||
\(458\) | −4.80493e10 | −1.09201 | ||||||||
\(459\) | 1.22519e10 | 0.276028 | ||||||||
\(460\) | 1.39117e10i | 0.310705i | ||||||||
\(461\) | −1.89312e10 | −0.419156 | −0.209578 | − | 0.977792i | \(-0.567209\pi\) | ||||
−0.209578 | + | 0.977792i | \(0.567209\pi\) | |||||||
\(462\) | −6.94869e9 | −0.152523 | ||||||||
\(463\) | − | 1.11150e10i | − | 0.241872i | −0.992660 | − | 0.120936i | \(-0.961410\pi\) | ||
0.992660 | − | 0.120936i | \(-0.0385897\pi\) | |||||||
\(464\) | −2.97486e9 | −0.0641792 | ||||||||
\(465\) | − | 2.05114e10i | − | 0.438717i | ||||||
\(466\) | −5.47007e10 | −1.15998 | ||||||||
\(467\) | 2.77925e10i | 0.584332i | 0.956368 | + | 0.292166i | \(0.0943760\pi\) | ||||
−0.956368 | + | 0.292166i | \(0.905624\pi\) | |||||||
\(468\) | − | 1.15181e10i | − | 0.240102i | ||||||
\(469\) | 1.07640e10i | 0.222476i | ||||||||
\(470\) | 2.48502e10 | 0.509258 | ||||||||
\(471\) | 5.00291e10i | 1.01657i | ||||||||
\(472\) | 4.28668e10 | + | 1.36294e10i | 0.863681 | + | 0.274605i | ||||
\(473\) | 1.22580e10 | 0.244892 | ||||||||
\(474\) | − | 8.70390e10i | − | 1.72425i | ||||||
\(475\) | −4.94077e10 | −0.970556 | ||||||||
\(476\) | 8.42885e10 | 1.64188 | ||||||||
\(477\) | −2.80949e9 | −0.0542692 | ||||||||
\(478\) | 3.59939e10i | 0.689473i | ||||||||
\(479\) | −8.70053e10 | −1.65274 | −0.826368 | − | 0.563130i | \(-0.809597\pi\) | ||||
−0.826368 | + | 0.563130i | \(0.809597\pi\) | |||||||
\(480\) | − | 1.28026e10i | − | 0.241176i | ||||||
\(481\) | 3.65960e9 | 0.0683680 | ||||||||
\(482\) | 6.63514e10i | 1.22931i | ||||||||
\(483\) | − | 1.18841e10i | − | 0.218362i | ||||||
\(484\) | −8.15514e10 | −1.48611 | ||||||||
\(485\) | − | 1.64955e10i | − | 0.298126i | ||||||
\(486\) | − | 5.73261e9i | − | 0.102756i | ||||||
\(487\) | 1.01454e11 | 1.80365 | 0.901825 | − | 0.432101i | \(-0.142228\pi\) | ||||
0.901825 | + | 0.432101i | \(0.142228\pi\) | |||||||
\(488\) | 7.44358e10 | 1.31251 | ||||||||
\(489\) | 4.96226e10 | 0.867848 | ||||||||
\(490\) | − | 1.64880e10i | − | 0.286011i | ||||||
\(491\) | −3.52846e10 | −0.607099 | −0.303549 | − | 0.952816i | \(-0.598172\pi\) | ||||
−0.303549 | + | 0.952816i | \(0.598172\pi\) | |||||||
\(492\) | −3.61058e10 | −0.616192 | ||||||||
\(493\) | 4.76599e10 | 0.806800 | ||||||||
\(494\) | 4.99389e10 | 0.838555 | ||||||||
\(495\) | − | 1.73166e9i | − | 0.0288431i | ||||||
\(496\) | − | 1.36800e10i | − | 0.226026i | ||||||
\(497\) | −6.39989e10 | −1.04893 | ||||||||
\(498\) | 6.14548e10 | 0.999169 | ||||||||
\(499\) | 8.78804e10 | 1.41739 | 0.708696 | − | 0.705514i | \(-0.249284\pi\) | ||||
0.708696 | + | 0.705514i | \(0.249284\pi\) | |||||||
\(500\) | −6.95517e10 | −1.11283 | ||||||||
\(501\) | 3.14144e8 | 0.00498629 | ||||||||
\(502\) | − | 9.88488e10i | − | 1.55653i | ||||||
\(503\) | 1.18462e11i | 1.85057i | 0.379269 | + | 0.925287i | \(0.376176\pi\) | ||||
−0.379269 | + | 0.925287i | \(0.623824\pi\) | |||||||
\(504\) | − | 1.42508e10i | − | 0.220860i | ||||||
\(505\) | 2.95817e10i | 0.454839i | ||||||||
\(506\) | 1.22543e10i | 0.186934i | ||||||||
\(507\) | 3.00749e10 | 0.455168 | ||||||||
\(508\) | 2.18548e10 | 0.328164 | ||||||||
\(509\) | − | 8.56499e10i | − | 1.27601i | −0.770030 | − | 0.638007i | \(-0.779759\pi\) | ||
0.770030 | − | 0.638007i | \(-0.220241\pi\) | |||||||
\(510\) | 3.44203e10i | 0.508785i | ||||||||
\(511\) | 3.31107e10i | 0.485607i | ||||||||
\(512\) | − | 1.56443e10i | − | 0.227655i | ||||||
\(513\) | 1.51679e10 | 0.219006 | ||||||||
\(514\) | − | 1.88634e11i | − | 2.70251i | ||||||
\(515\) | 9.92183e9i | 0.141047i | ||||||||
\(516\) | 6.95718e10i | 0.981373i | ||||||||
\(517\) | 1.33583e10 | 0.186978 | ||||||||
\(518\) | 1.25306e10 | 0.174041 | ||||||||
\(519\) | 7.53542e10i | 1.03858i | ||||||||
\(520\) | 1.16926e10 | 0.159918 | ||||||||
\(521\) | −1.11648e11 | −1.51530 | −0.757652 | − | 0.652658i | \(-0.773654\pi\) | ||||
−0.757652 | + | 0.652658i | \(0.773654\pi\) | |||||||
\(522\) | − | 2.22999e10i | − | 0.300345i | ||||||
\(523\) | −7.64824e9 | −0.102224 | −0.0511122 | − | 0.998693i | \(-0.516277\pi\) | ||||
−0.0511122 | + | 0.998693i | \(0.516277\pi\) | |||||||
\(524\) | 5.23395e10i | 0.694231i | ||||||||
\(525\) | 2.73484e10 | 0.359994 | ||||||||
\(526\) | − | 1.42573e11i | − | 1.86250i | ||||||
\(527\) | 2.19166e11i | 2.84138i | ||||||||
\(528\) | − | 1.15492e9i | − | 0.0148599i | ||||||
\(529\) | 5.73529e10 | 0.732373 | ||||||||
\(530\) | − | 7.89293e9i | − | 0.100031i | ||||||
\(531\) | 8.02972e9 | − | 2.52549e10i | 0.101000 | − | 0.317663i | ||||
\(532\) | 1.04349e11 | 1.30270 | ||||||||
\(533\) | 2.53068e10i | 0.313565i | ||||||||
\(534\) | 5.41102e10 | 0.665448 | ||||||||
\(535\) | 3.72789e10 | 0.455039 | ||||||||
\(536\) | 2.27633e10 | 0.275788 | ||||||||
\(537\) | − | 1.87115e9i | − | 0.0225015i | ||||||
\(538\) | 4.81980e10 | 0.575308 | ||||||||
\(539\) | − | 8.86320e9i | − | 0.105011i | ||||||
\(540\) | 9.82825e9 | 0.115585 | ||||||||
\(541\) | 2.00200e10i | 0.233709i | 0.993149 | + | 0.116855i | \(0.0372811\pi\) | ||||
−0.993149 | + | 0.116855i | \(0.962719\pi\) | |||||||
\(542\) | 1.42266e11i | 1.64855i | ||||||||
\(543\) | 3.44397e10 | 0.396151 | ||||||||
\(544\) | 1.36796e11i | 1.56199i | ||||||||
\(545\) | 3.70530e10i | 0.419989i | ||||||||
\(546\) | −2.76425e10 | −0.311033 | ||||||||
\(547\) | −4.77890e9 | −0.0533800 | −0.0266900 | − | 0.999644i | \(-0.508497\pi\) | ||||
−0.0266900 | + | 0.999644i | \(0.508497\pi\) | |||||||
\(548\) | −1.00134e11 | −1.11035 | ||||||||
\(549\) | − | 4.38537e10i | − | 0.482744i | ||||||
\(550\) | −2.82005e10 | −0.308181 | ||||||||
\(551\) | 5.90031e10 | 0.640130 | ||||||||
\(552\) | −2.51319e10 | −0.270688 | ||||||||
\(553\) | −1.27475e11 | −1.36309 | ||||||||
\(554\) | 1.90517e11i | 2.02253i | ||||||||
\(555\) | 3.12270e9i | 0.0329123i | ||||||||
\(556\) | 7.66544e10 | 0.802117 | ||||||||
\(557\) | 2.70838e10 | 0.281378 | 0.140689 | − | 0.990054i | \(-0.455068\pi\) | ||||
0.140689 | + | 0.990054i | \(0.455068\pi\) | |||||||
\(558\) | 1.02547e11 | 1.05775 | ||||||||
\(559\) | 4.87633e10 | 0.499396 | ||||||||
\(560\) | −3.14657e9 | −0.0319952 | ||||||||
\(561\) | 1.85028e10i | 0.186804i | ||||||||
\(562\) | − | 5.76671e10i | − | 0.578073i | ||||||
\(563\) | 9.90305e10i | 0.985678i | 0.870120 | + | 0.492839i | \(0.164041\pi\) | ||||
−0.870120 | + | 0.492839i | \(0.835959\pi\) | |||||||
\(564\) | 7.58170e10i | 0.749291i | ||||||||
\(565\) | − | 1.44536e10i | − | 0.141835i | ||||||
\(566\) | −4.84834e10 | −0.472419 | ||||||||
\(567\) | −8.39580e9 | −0.0812325 | ||||||||
\(568\) | 1.35342e11i | 1.30029i | ||||||||
\(569\) | − | 2.36985e10i | − | 0.226085i | −0.993590 | − | 0.113042i | \(-0.963940\pi\) | ||
0.993590 | − | 0.113042i | \(-0.0360596\pi\) | |||||||
\(570\) | 4.26124e10i | 0.403680i | ||||||||
\(571\) | − | 1.46131e11i | − | 1.37467i | −0.726341 | − | 0.687334i | \(-0.758781\pi\) | ||
0.726341 | − | 0.687334i | \(-0.241219\pi\) | |||||||
\(572\) | 1.73946e10 | 0.162491 | ||||||||
\(573\) | − | 7.95758e10i | − | 0.738181i | ||||||
\(574\) | 8.66512e10i | 0.798228i | ||||||||
\(575\) | − | 4.82302e10i | − | 0.441213i | ||||||
\(576\) | 5.98201e10 | 0.543447 | ||||||||
\(577\) | −5.60882e10 | −0.506021 | −0.253011 | − | 0.967464i | \(-0.581421\pi\) | ||||
−0.253011 | + | 0.967464i | \(0.581421\pi\) | |||||||
\(578\) | − | 1.89001e11i | − | 1.69338i | ||||||
\(579\) | 1.13602e11 | 1.01082 | ||||||||
\(580\) | 3.82319e10 | 0.337842 | ||||||||
\(581\) | − | 9.00049e10i | − | 0.789881i | ||||||
\(582\) | 8.24692e10 | 0.718786 | ||||||||
\(583\) | − | 4.24289e9i | − | 0.0367272i | ||||||
\(584\) | 7.00211e10 | 0.601974 | ||||||||
\(585\) | − | 6.88867e9i | − | 0.0588183i | ||||||
\(586\) | − | 6.54153e10i | − | 0.554739i | ||||||
\(587\) | − | 2.14359e10i | − | 0.180546i | −0.995917 | − | 0.0902732i | \(-0.971226\pi\) | ||
0.995917 | − | 0.0902732i | \(-0.0287740\pi\) | |||||||
\(588\) | 5.03042e10 | 0.420819 | ||||||||
\(589\) | 2.71327e11i | 2.25441i | ||||||||
\(590\) | 7.09507e10 | + | 2.25586e10i | 0.585529 | + | 0.186167i | ||||
\(591\) | −1.06929e11 | −0.876486 | ||||||||
\(592\) | 2.08266e9i | 0.0169563i | ||||||||
\(593\) | 1.87169e10 | 0.151361 | 0.0756805 | − | 0.997132i | \(-0.475887\pi\) | ||||
0.0756805 | + | 0.997132i | \(0.475887\pi\) | |||||||
\(594\) | 8.65739e9 | 0.0695411 | ||||||||
\(595\) | 5.04109e10 | 0.402214 | ||||||||
\(596\) | − | 3.30400e11i | − | 2.61852i | ||||||
\(597\) | 1.06046e11 | 0.834829 | ||||||||
\(598\) | 4.87488e10i | 0.381205i | ||||||||
\(599\) | −8.71690e10 | −0.677103 | −0.338552 | − | 0.940948i | \(-0.609937\pi\) | ||||
−0.338552 | + | 0.940948i | \(0.609937\pi\) | |||||||
\(600\) | − | 5.78352e10i | − | 0.446259i | ||||||
\(601\) | 4.72599e10i | 0.362238i | 0.983461 | + | 0.181119i | \(0.0579720\pi\) | ||||
−0.983461 | + | 0.181119i | \(0.942028\pi\) | |||||||
\(602\) | 1.66967e11 | 1.27129 | ||||||||
\(603\) | − | 1.34109e10i | − | 0.101435i | ||||||
\(604\) | − | 2.16789e11i | − | 1.62888i | ||||||
\(605\) | −4.87740e10 | −0.364055 | ||||||||
\(606\) | −1.47893e11 | −1.09662 | ||||||||
\(607\) | −4.28839e10 | −0.315893 | −0.157946 | − | 0.987448i | \(-0.550487\pi\) | ||||
−0.157946 | + | 0.987448i | \(0.550487\pi\) | |||||||
\(608\) | 1.69354e11i | 1.23932i | ||||||||
\(609\) | −3.26597e10 | −0.237434 | ||||||||
\(610\) | 1.23202e11 | 0.889811 | ||||||||
\(611\) | 5.31406e10 | 0.381295 | ||||||||
\(612\) | −1.05015e11 | −0.748595 | ||||||||
\(613\) | − | 1.02665e11i | − | 0.727077i | −0.931579 | − | 0.363538i | \(-0.881569\pi\) | ||
0.931579 | − | 0.363538i | \(-0.118431\pi\) | |||||||
\(614\) | − | 2.10785e11i | − | 1.48309i | ||||||
\(615\) | −2.15940e10 | −0.150950 | ||||||||
\(616\) | 2.15215e10 | 0.149469 | ||||||||
\(617\) | −1.21352e11 | −0.837345 | −0.418673 | − | 0.908137i | \(-0.637505\pi\) | ||||
−0.418673 | + | 0.908137i | \(0.637505\pi\) | |||||||
\(618\) | −4.96040e10 | −0.340066 | ||||||||
\(619\) | −8.51181e10 | −0.579775 | −0.289887 | − | 0.957061i | \(-0.593618\pi\) | ||||
−0.289887 | + | 0.957061i | \(0.593618\pi\) | |||||||
\(620\) | 1.75811e11i | 1.18981i | ||||||||
\(621\) | 1.48064e10i | 0.0995595i | ||||||||
\(622\) | 1.04112e11i | 0.695567i | ||||||||
\(623\) | − | 7.92481e10i | − | 0.526062i | ||||||
\(624\) | − | 4.59436e9i | − | 0.0303030i | ||||||
\(625\) | 8.85405e10 | 0.580259 | ||||||||
\(626\) | −3.04450e10 | −0.198252 | ||||||||
\(627\) | 2.29066e10i | 0.148214i | ||||||||
\(628\) | − | 4.28816e11i | − | 2.75697i | ||||||
\(629\) | − | 3.33662e10i | − | 0.213159i | ||||||
\(630\) | − | 2.35871e10i | − | 0.149731i | ||||||
\(631\) | 1.10368e11 | 0.696186 | 0.348093 | − | 0.937460i | \(-0.386829\pi\) | ||||
0.348093 | + | 0.937460i | \(0.386829\pi\) | |||||||
\(632\) | 2.69578e11i | 1.68972i | ||||||||
\(633\) | 4.75740e10i | 0.296316i | ||||||||
\(634\) | 1.23507e11i | 0.764423i | ||||||||
\(635\) | 1.30708e10 | 0.0803910 | ||||||||
\(636\) | 2.40811e10 | 0.147180 | ||||||||
\(637\) | − | 3.52585e10i | − | 0.214144i | ||||||
\(638\) | 3.36773e10 | 0.203261 | ||||||||
\(639\) | 7.97363e10 | 0.478248 | ||||||||
\(640\) | 9.79746e10i | 0.583974i | ||||||||
\(641\) | 2.92806e11 | 1.73440 | 0.867198 | − | 0.497964i | \(-0.165919\pi\) | ||||
0.867198 | + | 0.497964i | \(0.165919\pi\) | |||||||
\(642\) | 1.86375e11i | 1.09711i | ||||||||
\(643\) | −8.22453e10 | −0.481135 | −0.240568 | − | 0.970632i | \(-0.577334\pi\) | ||||
−0.240568 | + | 0.970632i | \(0.577334\pi\) | |||||||
\(644\) | 1.01862e11i | 0.592203i | ||||||||
\(645\) | 4.16092e10i | 0.240409i | ||||||||
\(646\) | − | 4.55316e11i | − | 2.61446i | ||||||
\(647\) | −3.20501e11 | −1.82899 | −0.914497 | − | 0.404592i | \(-0.867413\pi\) | ||||
−0.914497 | + | 0.404592i | \(0.867413\pi\) | |||||||
\(648\) | 1.77551e10i | 0.100698i | ||||||||
\(649\) | 3.81399e10 | + | 1.21265e10i | 0.214982 | + | 0.0683528i | ||||
\(650\) | −1.12184e11 | −0.628460 | ||||||||
\(651\) | − | 1.50187e11i | − | 0.836194i | ||||||
\(652\) | −4.25332e11 | −2.35363 | ||||||||
\(653\) | −1.66879e11 | −0.917804 | −0.458902 | − | 0.888487i | \(-0.651757\pi\) | ||||
−0.458902 | + | 0.888487i | \(0.651757\pi\) | |||||||
\(654\) | −1.85246e11 | −1.01260 | ||||||||
\(655\) | 3.13030e10i | 0.170067i | ||||||||
\(656\) | −1.44020e10 | −0.0777691 | ||||||||
\(657\) | − | 4.12528e10i | − | 0.221407i | ||||||
\(658\) | 1.81955e11 | 0.970646 | ||||||||
\(659\) | − | 1.80669e11i | − | 0.957947i | −0.877829 | − | 0.478974i | \(-0.841009\pi\) | ||
0.877829 | − | 0.478974i | \(-0.158991\pi\) | |||||||
\(660\) | 1.48426e10i | 0.0782231i | ||||||||
\(661\) | −1.56896e11 | −0.821874 | −0.410937 | − | 0.911664i | \(-0.634798\pi\) | ||||
−0.410937 | + | 0.911664i | \(0.634798\pi\) | |||||||
\(662\) | 1.90273e11i | 0.990705i | ||||||||
\(663\) | 7.36058e10i | 0.380941i | ||||||||
\(664\) | −1.90338e11 | −0.979160 | ||||||||
\(665\) | 6.24089e10 | 0.319124 | ||||||||
\(666\) | −1.56119e10 | −0.0793521 | ||||||||
\(667\) | 5.75969e10i | 0.291002i | ||||||||
\(668\) | −2.69263e9 | −0.0135229 | ||||||||
\(669\) | 1.60581e11 | 0.801660 | ||||||||
\(670\) | 3.76764e10 | 0.186969 | ||||||||
\(671\) | 6.62278e10 | 0.326701 | ||||||||
\(672\) | − | 9.37419e10i | − | 0.459681i | ||||||
\(673\) | − | 2.73935e9i | − | 0.0133532i | −0.999978 | − | 0.00667662i | \(-0.997875\pi\) | ||
0.999978 | − | 0.00667662i | \(-0.00212525\pi\) | |||||||
\(674\) | −3.85562e11 | −1.86834 | ||||||||
\(675\) | −3.40735e10 | −0.164135 | ||||||||
\(676\) | −2.57782e11 | −1.23443 | ||||||||
\(677\) | −2.83127e11 | −1.34781 | −0.673903 | − | 0.738820i | \(-0.735383\pi\) | ||||
−0.673903 | + | 0.738820i | \(0.735383\pi\) | |||||||
\(678\) | 7.22606e10 | 0.341966 | ||||||||
\(679\) | − | 1.20782e11i | − | 0.568228i | ||||||
\(680\) | − | 1.06607e11i | − | 0.498597i | ||||||
\(681\) | − | 4.02274e10i | − | 0.187040i | ||||||
\(682\) | 1.54866e11i | 0.715844i | ||||||||
\(683\) | 3.34373e11i | 1.53655i | 0.640117 | + | 0.768277i | \(0.278886\pi\) | ||||
−0.640117 | + | 0.768277i | \(0.721114\pi\) | |||||||
\(684\) | −1.30009e11 | −0.593949 | ||||||||
\(685\) | −5.98878e10 | −0.272005 | ||||||||
\(686\) | − | 3.80072e11i | − | 1.71621i | ||||||
\(687\) | − | 8.76761e10i | − | 0.393599i | ||||||
\(688\) | 2.77510e10i | 0.123858i | ||||||||
\(689\) | − | 1.68786e10i | − | 0.0748960i | ||||||
\(690\) | −4.15969e10 | −0.183512 | ||||||||
\(691\) | − | 3.07698e11i | − | 1.34962i | −0.737990 | − | 0.674812i | \(-0.764225\pi\) | ||
0.737990 | − | 0.674812i | \(-0.235775\pi\) | |||||||
\(692\) | − | 6.45886e11i | − | 2.81664i | ||||||
\(693\) | − | 1.26794e10i | − | 0.0549749i | ||||||
\(694\) | −4.67869e11 | −2.01691 | ||||||||
\(695\) | 4.58451e10 | 0.196496 | ||||||||
\(696\) | 6.90673e10i | 0.294330i | ||||||||
\(697\) | 2.30733e11 | 0.977639 | ||||||||
\(698\) | −9.14381e10 | −0.385217 | ||||||||
\(699\) | − | 9.98130e10i | − | 0.418098i | ||||||
\(700\) | −2.34413e11 | −0.976313 | ||||||||
\(701\) | 7.07046e10i | 0.292803i | 0.989225 | + | 0.146401i | \(0.0467691\pi\) | ||||
−0.989225 | + | 0.146401i | \(0.953231\pi\) | |||||||
\(702\) | 3.44398e10 | 0.141812 | ||||||||
\(703\) | − | 4.13074e10i | − | 0.169124i | ||||||
\(704\) | 9.03404e10i | 0.367783i | ||||||||
\(705\) | 4.53444e10i | 0.183555i | ||||||||
\(706\) | 1.09918e11 | 0.442435 | ||||||||
\(707\) | 2.16600e11i | 0.866923i | ||||||||
\(708\) | −6.88254e10 | + | 2.16468e11i | −0.273915 | + | 0.861512i | ||||
\(709\) | 3.94533e11 | 1.56134 | 0.780671 | − | 0.624942i | \(-0.214877\pi\) | ||||
0.780671 | + | 0.624942i | \(0.214877\pi\) | |||||||
\(710\) | 2.24010e11i | 0.881524i | ||||||||
\(711\) | 1.58821e11 | 0.621483 | ||||||||
\(712\) | −1.67590e11 | −0.652122 | ||||||||
\(713\) | −2.64861e11 | −1.02485 | ||||||||
\(714\) | 2.52029e11i | 0.969744i | ||||||||
\(715\) | 1.04033e10 | 0.0398058 | ||||||||
\(716\) | 1.60383e10i | 0.0610246i | ||||||||
\(717\) | −6.56784e10 | −0.248511 | ||||||||
\(718\) | 1.58735e11i | 0.597275i | ||||||||
\(719\) | 2.33339e11i | 0.873114i | 0.899676 | + | 0.436557i | \(0.143802\pi\) | ||||
−0.899676 | + | 0.436557i | \(0.856198\pi\) | |||||||
\(720\) | 3.92032e9 | 0.0145879 | ||||||||
\(721\) | 7.26485e10i | 0.268835i | ||||||||
\(722\) | − | 1.28411e11i | − | 0.472557i | ||||||
\(723\) | −1.21072e11 | −0.443089 | ||||||||
\(724\) | −2.95195e11 | −1.07437 | ||||||||
\(725\) | −1.32546e11 | −0.479749 | ||||||||
\(726\) | − | 2.43845e11i | − | 0.877742i | ||||||
\(727\) | 3.33581e11 | 1.19416 | 0.597081 | − | 0.802181i | \(-0.296327\pi\) | ||||
0.597081 | + | 0.802181i | \(0.296327\pi\) | |||||||
\(728\) | 8.56144e10 | 0.304804 | ||||||||
\(729\) | 1.04604e10 | 0.0370370 | ||||||||
\(730\) | 1.15895e11 | 0.408106 | ||||||||
\(731\) | − | 4.44596e11i | − | 1.55703i | ||||||
\(732\) | 3.75885e11i | 1.30921i | ||||||||
\(733\) | 1.35099e10 | 0.0467989 | 0.0233995 | − | 0.999726i | \(-0.492551\pi\) | ||||
0.0233995 | + | 0.999726i | \(0.492551\pi\) | |||||||
\(734\) | 7.42081e11 | 2.55663 | ||||||||
\(735\) | 3.00858e10 | 0.103089 | ||||||||
\(736\) | −1.65318e11 | −0.563390 | ||||||||
\(737\) | 2.02532e10 | 0.0686472 | ||||||||
\(738\) | − | 1.07959e11i | − | 0.363943i | ||||||
\(739\) | 2.13081e11i | 0.714441i | 0.934020 | + | 0.357221i | \(0.116276\pi\) | ||||
−0.934020 | + | 0.357221i | \(0.883724\pi\) | |||||||
\(740\) | − | 2.67657e10i | − | 0.0892590i | ||||||
\(741\) | 9.11241e10i | 0.302246i | ||||||||
\(742\) | − | 5.77928e10i | − | 0.190659i | ||||||
\(743\) | 1.07130e11 | 0.351524 | 0.175762 | − | 0.984433i | \(-0.443761\pi\) | ||||
0.175762 | + | 0.984433i | \(0.443761\pi\) | |||||||
\(744\) | −3.17608e11 | −1.03657 | ||||||||
\(745\) | − | 1.97604e11i | − | 0.641463i | ||||||
\(746\) | − | 7.62049e11i | − | 2.46052i | ||||||
\(747\) | 1.12137e11i | 0.360137i | ||||||||
\(748\) | − | 1.58594e11i | − | 0.506618i | ||||||
\(749\) | 2.72960e11 | 0.867304 | ||||||||
\(750\) | − | 2.07965e11i | − | 0.657271i | ||||||
\(751\) | − | 1.88581e11i | − | 0.592841i | −0.955058 | − | 0.296421i | \(-0.904207\pi\) | ||
0.955058 | − | 0.296421i | \(-0.0957930\pi\) | |||||||
\(752\) | 3.02421e10i | 0.0945673i | ||||||||
\(753\) | 1.80370e11 | 0.561029 | ||||||||
\(754\) | 1.33971e11 | 0.414501 | ||||||||
\(755\) | − | 1.29656e11i | − | 0.399030i | ||||||
\(756\) | 7.19633e10 | 0.220305 | ||||||||
\(757\) | 3.24459e11 | 0.988044 | 0.494022 | − | 0.869449i | \(-0.335526\pi\) | ||||
0.494022 | + | 0.869449i | \(0.335526\pi\) | |||||||
\(758\) | 5.16478e11i | 1.56450i | ||||||||
\(759\) | −2.23606e10 | −0.0673778 | ||||||||
\(760\) | − | 1.31979e11i | − | 0.395596i | ||||||
\(761\) | 3.60109e11 | 1.07373 | 0.536866 | − | 0.843668i | \(-0.319608\pi\) | ||||
0.536866 | + | 0.843668i | \(0.319608\pi\) | |||||||
\(762\) | 6.53473e10i | 0.193824i | ||||||||
\(763\) | 2.71306e11i | 0.800499i | ||||||||
\(764\) | 6.82071e11i | 2.00196i | ||||||||
\(765\) | −6.28071e10 | −0.183385 | ||||||||
\(766\) | − | 4.07280e11i | − | 1.18298i | ||||||
\(767\) | 1.51724e11 | + | 4.82401e10i | 0.438402 | + | 0.139389i | ||||
\(768\) | −1.62359e11 | −0.466693 | ||||||||
\(769\) | − | 1.48428e10i | − | 0.0424434i | −0.999775 | − | 0.0212217i | \(-0.993244\pi\) | ||
0.999775 | − | 0.0212217i | \(-0.00675559\pi\) | |||||||
\(770\) | 3.56212e10 | 0.101332 | ||||||||
\(771\) | 3.44203e11 | 0.974085 | ||||||||
\(772\) | −9.73724e11 | −2.74136 | ||||||||
\(773\) | − | 1.95676e11i | − | 0.548049i | −0.961723 | − | 0.274024i | \(-0.911645\pi\) | ||
0.961723 | − | 0.274024i | \(-0.0883549\pi\) | |||||||
\(774\) | −2.08025e11 | −0.579630 | ||||||||
\(775\) | − | 6.09516e11i | − | 1.68958i | ||||||
\(776\) | −2.55424e11 | −0.704392 | ||||||||
\(777\) | 2.28647e10i | 0.0627308i | ||||||||
\(778\) | − | 7.22334e11i | − | 1.97160i | ||||||
\(779\) | 2.85648e11 | 0.775678 | ||||||||
\(780\) | 5.90452e10i | 0.159517i | ||||||||
\(781\) | 1.20418e11i | 0.323658i | ||||||||
\(782\) | 4.44464e11 | 1.18853 |