Newspace parameters
Level: | \( N \) | = | \( 4004 = 2^{2} \cdot 7 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | = | \( 2 \) |
Character orbit: | \([\chi]\) | = | 4004.a (trivial) |
Newform invariants
Self dual: | Yes |
Analytic conductor: | \(31.9721009693\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.7 | ||
Root | \(-0.497051\) | ||
Character | \(\chi\) | = | 4004.1 |
$q$-expansion
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.497051 | 0.286973 | 0.143486 | − | 0.989652i | \(-0.454169\pi\) | ||||
0.143486 | + | 0.989652i | \(0.454169\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.93955 | −1.31461 | −0.657303 | − | 0.753626i | \(-0.728303\pi\) | ||||
−0.657303 | + | 0.753626i | \(0.728303\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.00000 | −0.377964 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.75294 | −0.917647 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.00000 | −0.301511 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.00000 | −0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.46111 | −0.377256 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 6.64567 | 1.61181 | 0.805905 | − | 0.592044i | \(-0.201679\pi\) | ||||
0.805905 | + | 0.592044i | \(0.201679\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −8.43503 | −1.93513 | −0.967564 | − | 0.252625i | \(-0.918706\pi\) | ||||
−0.967564 | + | 0.252625i | \(0.918706\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.497051 | −0.108465 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −7.56554 | −1.57752 | −0.788762 | − | 0.614699i | \(-0.789278\pi\) | ||||
−0.788762 | + | 0.614699i | \(0.789278\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.64094 | 0.728189 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.85951 | −0.550312 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.0222906 | −0.00413926 | −0.00206963 | − | 0.999998i | \(-0.500659\pi\) | ||||
−0.00206963 | + | 0.999998i | \(0.500659\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.14381 | 0.205434 | 0.102717 | − | 0.994711i | \(-0.467246\pi\) | ||||
0.102717 | + | 0.994711i | \(0.467246\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.497051 | −0.0865255 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.93955 | 0.496874 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.840405 | −0.138162 | −0.0690809 | − | 0.997611i | \(-0.522007\pi\) | ||||
−0.0690809 | + | 0.997611i | \(0.522007\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.497051 | −0.0795919 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.48124 | 0.699852 | 0.349926 | − | 0.936777i | \(-0.386207\pi\) | ||||
0.349926 | + | 0.936777i | \(0.386207\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.41468 | 0.215737 | 0.107869 | − | 0.994165i | \(-0.465597\pi\) | ||||
0.107869 | + | 0.994165i | \(0.465597\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 8.09240 | 1.20634 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 6.97254 | 1.01705 | 0.508524 | − | 0.861048i | \(-0.330191\pi\) | ||||
0.508524 | + | 0.861048i | \(0.330191\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.30324 | 0.462546 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 11.8143 | 1.62282 | 0.811412 | − | 0.584475i | \(-0.198700\pi\) | ||||
0.811412 | + | 0.584475i | \(0.198700\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.93955 | 0.396369 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.19264 | −0.555329 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.878482 | −0.114369 | −0.0571843 | − | 0.998364i | \(-0.518212\pi\) | ||||
−0.0571843 | + | 0.998364i | \(0.518212\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.01213 | 0.129590 | 0.0647950 | − | 0.997899i | \(-0.479361\pi\) | ||||
0.0647950 | + | 0.997899i | \(0.479361\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.75294 | 0.346838 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.93955 | 0.364606 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.34149 | 1.01907 | 0.509537 | − | 0.860449i | \(-0.329817\pi\) | ||||
0.509537 | + | 0.860449i | \(0.329817\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.76046 | −0.452706 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −13.3351 | −1.58258 | −0.791292 | − | 0.611439i | \(-0.790591\pi\) | ||||
−0.791292 | + | 0.611439i | \(0.790591\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −8.97242 | −1.05014 | −0.525071 | − | 0.851058i | \(-0.675961\pi\) | ||||
−0.525071 | + | 0.851058i | \(0.675961\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.80973 | 0.208970 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.00000 | 0.113961 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −12.6865 | −1.42735 | −0.713674 | − | 0.700478i | \(-0.752970\pi\) | ||||
−0.713674 | + | 0.700478i | \(0.752970\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.83750 | 0.759722 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.63360 | 0.289076 | 0.144538 | − | 0.989499i | \(-0.453830\pi\) | ||||
0.144538 | + | 0.989499i | \(0.453830\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −19.5353 | −2.11890 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.0110796 | −0.00118786 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −14.9420 | −1.58385 | −0.791923 | − | 0.610621i | \(-0.790920\pi\) | ||||
−0.791923 | + | 0.610621i | \(0.790920\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.00000 | 0.104828 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.568531 | 0.0589539 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 24.7952 | 2.54393 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 19.2853 | 1.95813 | 0.979064 | − | 0.203551i | \(-0.0652483\pi\) | ||||
0.979064 | + | 0.203551i | \(0.0652483\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.75294 | 0.276681 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.05893 | −0.304375 | −0.152188 | − | 0.988352i | \(-0.548632\pi\) | ||||
−0.152188 | + | 0.988352i | \(0.548632\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.52685 | 0.248978 | 0.124489 | − | 0.992221i | \(-0.460271\pi\) | ||||
0.124489 | + | 0.992221i | \(0.460271\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.46111 | 0.142589 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 16.4039 | 1.58583 | 0.792913 | − | 0.609335i | \(-0.208564\pi\) | ||||
0.792913 | + | 0.609335i | \(0.208564\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 15.6346 | 1.49752 | 0.748762 | − | 0.662839i | \(-0.230649\pi\) | ||||
0.748762 | + | 0.662839i | \(0.230649\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.417724 | −0.0396486 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 5.09219 | 0.479033 | 0.239516 | − | 0.970892i | \(-0.423011\pi\) | ||||
0.239516 | + | 0.970892i | \(0.423011\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 22.2393 | 2.07382 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 2.75294 | 0.254509 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −6.64567 | −0.609207 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.22740 | 0.200838 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 3.99501 | 0.357325 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.32853 | 0.650302 | 0.325151 | − | 0.945662i | \(-0.394585\pi\) | ||||
0.325151 | + | 0.945662i | \(0.394585\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.703170 | 0.0619106 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.588280 | 0.0513983 | 0.0256991 | − | 0.999670i | \(-0.491819\pi\) | ||||
0.0256991 | + | 0.999670i | \(0.491819\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.43503 | 0.731410 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 8.40565 | 0.723443 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −18.3928 | −1.57141 | −0.785703 | − | 0.618604i | \(-0.787698\pi\) | ||||
−0.785703 | + | 0.618604i | \(0.787698\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.14980 | 0.182344 | 0.0911719 | − | 0.995835i | \(-0.470939\pi\) | ||||
0.0911719 | + | 0.995835i | \(0.470939\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.46571 | 0.291865 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.00000 | 0.0836242 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.0655243 | 0.00544150 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.497051 | 0.0409961 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −6.33684 | −0.519134 | −0.259567 | − | 0.965725i | \(-0.583580\pi\) | ||||
−0.259567 | + | 0.965725i | \(0.583580\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.78880 | 0.633844 | 0.316922 | − | 0.948452i | \(-0.397351\pi\) | ||||
0.316922 | + | 0.948452i | \(0.397351\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −18.2951 | −1.47907 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.36228 | −0.270065 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.41916 | 0.751731 | 0.375865 | − | 0.926674i | \(-0.377346\pi\) | ||||
0.375865 | + | 0.926674i | \(0.377346\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 5.87233 | 0.465706 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 7.56554 | 0.596248 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 22.0204 | 1.72477 | 0.862386 | − | 0.506251i | \(-0.168969\pi\) | ||||
0.862386 | + | 0.506251i | \(0.168969\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.46111 | 0.113747 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −19.5196 | −1.51047 | −0.755236 | − | 0.655453i | \(-0.772478\pi\) | ||||
−0.755236 | + | 0.655453i | \(0.772478\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 23.2211 | 1.77576 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −6.93854 | −0.527527 | −0.263764 | − | 0.964587i | \(-0.584964\pi\) | ||||
−0.263764 | + | 0.964587i | \(0.584964\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.64094 | −0.275229 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.436651 | −0.0328207 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 6.01410 | 0.449515 | 0.224757 | − | 0.974415i | \(-0.427841\pi\) | ||||
0.224757 | + | 0.974415i | \(0.427841\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.4942 | 0.780029 | 0.390014 | − | 0.920809i | \(-0.372470\pi\) | ||||
0.390014 | + | 0.920809i | \(0.372470\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.503081 | 0.0371888 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.47041 | 0.181628 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.64567 | −0.485979 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.85951 | 0.207998 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.16705 | 0.590947 | 0.295473 | − | 0.955351i | \(-0.404523\pi\) | ||||
0.295473 | + | 0.955351i | \(0.404523\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.47887 | −0.178433 | −0.0892164 | − | 0.996012i | \(-0.528436\pi\) | ||||
−0.0892164 | + | 0.996012i | \(0.528436\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.46111 | 0.104632 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 13.2215 | 0.941992 | 0.470996 | − | 0.882135i | \(-0.343895\pi\) | ||||
0.470996 | + | 0.882135i | \(0.343895\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.643373 | 0.0456075 | 0.0228037 | − | 0.999740i | \(-0.492741\pi\) | ||||
0.0228037 | + | 0.999740i | \(0.492741\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.14614 | 0.292447 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.0222906 | 0.00156449 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −13.1728 | −0.920030 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 20.8275 | 1.44761 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 8.43503 | 0.583463 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.75163 | 0.602487 | 0.301244 | − | 0.953547i | \(-0.402598\pi\) | ||||
0.301244 | + | 0.953547i | \(0.402598\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −6.62822 | −0.454158 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −4.15853 | −0.283609 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.14381 | −0.0776468 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −4.45975 | −0.301362 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.64567 | −0.447036 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.34705 | −0.0902048 | −0.0451024 | − | 0.998982i | \(-0.514361\pi\) | ||||
−0.0451024 | + | 0.998982i | \(0.514361\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −10.0233 | −0.668220 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −0.959150 | −0.0636610 | −0.0318305 | − | 0.999493i | \(-0.510134\pi\) | ||||
−0.0318305 | + | 0.999493i | \(0.510134\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.3814 | −0.686023 | −0.343011 | − | 0.939331i | \(-0.611447\pi\) | ||||
−0.343011 | + | 0.939331i | \(0.611447\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.497051 | 0.0327036 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 6.48083 | 0.424573 | 0.212287 | − | 0.977207i | \(-0.431909\pi\) | ||||
0.212287 | + | 0.977207i | \(0.431909\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −20.4961 | −1.33702 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −6.30586 | −0.409610 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1.47533 | −0.0954314 | −0.0477157 | − | 0.998861i | \(-0.515194\pi\) | ||||
−0.0477157 | + | 0.998861i | \(0.515194\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.57997 | −0.617100 | −0.308550 | − | 0.951208i | \(-0.599844\pi\) | ||||
−0.308550 | + | 0.951208i | \(0.599844\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 11.9771 | 0.768331 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2.93955 | −0.187801 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.43503 | 0.536708 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.30904 | 0.0829568 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 20.8727 | 1.31747 | 0.658737 | − | 0.752374i | \(-0.271091\pi\) | ||||
0.658737 | + | 0.752374i | \(0.271091\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.56554 | 0.475641 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −9.71002 | −0.608065 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 26.6086 | 1.65980 | 0.829900 | − | 0.557912i | \(-0.188397\pi\) | ||||
0.829900 | + | 0.557912i | \(0.188397\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.840405 | 0.0522202 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.0613647 | 0.00379838 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −5.05996 | −0.312011 | −0.156005 | − | 0.987756i | \(-0.549862\pi\) | ||||
−0.156005 | + | 0.987756i | \(0.549862\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −34.7288 | −2.13337 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −7.42693 | −0.454520 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −11.6505 | −0.710341 | −0.355170 | − | 0.934802i | \(-0.615577\pi\) | ||||
−0.355170 | + | 0.934802i | \(0.615577\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −24.5537 | −1.49153 | −0.745765 | − | 0.666210i | \(-0.767916\pi\) | ||||
−0.745765 | + | 0.666210i | \(0.767916\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.497051 | 0.0300829 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −3.64094 | −0.219557 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.80267 | 0.528901 | 0.264451 | − | 0.964399i | \(-0.414809\pi\) | ||||
0.264451 | + | 0.964399i | \(0.414809\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −3.14884 | −0.188516 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.58544 | 0.154234 | 0.0771172 | − | 0.997022i | \(-0.475428\pi\) | ||||
0.0771172 | + | 0.997022i | \(0.475428\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −15.0212 | −0.892920 | −0.446460 | − | 0.894804i | \(-0.647315\pi\) | ||||
−0.446460 | + | 0.894804i | \(0.647315\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 12.3245 | 0.730039 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4.48124 | −0.264519 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 27.1649 | 1.59793 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 9.58579 | 0.561929 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 5.57879 | 0.325917 | 0.162958 | − | 0.986633i | \(-0.447896\pi\) | ||||
0.162958 | + | 0.986633i | \(0.447896\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.58234 | 0.150350 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.85951 | 0.165925 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 7.56554 | 0.437526 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.41468 | −0.0815410 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1.52045 | −0.0873474 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.97521 | −0.170360 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 30.8736 | 1.76205 | 0.881024 | − | 0.473072i | \(-0.156855\pi\) | ||||
0.881024 | + | 0.473072i | \(0.156855\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.25597 | 0.0714498 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −17.5943 | −0.997683 | −0.498842 | − | 0.866693i | \(-0.666241\pi\) | ||||
−0.498842 | + | 0.866693i | \(0.666241\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.67492 | 0.320765 | 0.160383 | − | 0.987055i | \(-0.448727\pi\) | ||||
0.160383 | + | 0.987055i | \(0.448727\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −8.09240 | −0.455955 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −28.7277 | −1.61351 | −0.806754 | − | 0.590888i | \(-0.798778\pi\) | ||||
−0.806754 | + | 0.590888i | \(0.798778\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.0222906 | 0.00124803 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 8.15358 | 0.455089 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −56.0564 | −3.11906 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.64094 | −0.201963 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 7.77120 | 0.429748 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −6.97254 | −0.384408 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 22.6487 | 1.24488 | 0.622442 | − | 0.782666i | \(-0.286141\pi\) | ||||
0.622442 | + | 0.782666i | \(0.286141\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 2.31359 | 0.126784 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −24.5202 | −1.33968 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.33158 | 0.181483 | 0.0907414 | − | 0.995874i | \(-0.471076\pi\) | ||||
0.0907414 | + | 0.995874i | \(0.471076\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 2.53108 | 0.137469 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.14381 | −0.0619407 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 11.0541 | 0.595130 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −12.8753 | −0.691183 | −0.345591 | − | 0.938385i | \(-0.612322\pi\) | ||||
−0.345591 | + | 0.938385i | \(0.612322\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 7.23667 | 0.387370 | 0.193685 | − | 0.981064i | \(-0.437956\pi\) | ||||
0.193685 | + | 0.981064i | \(0.437956\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.85951 | 0.152629 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −31.3422 | −1.66817 | −0.834087 | − | 0.551632i | \(-0.814005\pi\) | ||||
−0.834087 | + | 0.551632i | \(0.814005\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 39.1991 | 2.08047 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.30324 | −0.174826 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −8.63676 | −0.455831 | −0.227915 | − | 0.973681i | \(-0.573191\pi\) | ||||
−0.227915 | + | 0.973681i | \(0.573191\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 52.1497 | 2.74472 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.497051 | 0.0260884 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 26.3748 | 1.38052 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −23.7636 | −1.24045 | −0.620225 | − | 0.784424i | \(-0.712959\pi\) | ||||
−0.620225 | + | 0.784424i | \(0.712959\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −12.3366 | −0.642217 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −11.8143 | −0.613369 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 30.2981 | 1.56878 | 0.784389 | − | 0.620269i | \(-0.212977\pi\) | ||||
0.784389 | + | 0.620269i | \(0.212977\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.98573 | 0.102542 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.0222906 | 0.00114803 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −22.8240 | −1.17239 | −0.586196 | − | 0.810170i | \(-0.699375\pi\) | ||||
−0.586196 | + | 0.810170i | \(0.699375\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 3.64265 | 0.186619 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −9.44337 | −0.482534 | −0.241267 | − | 0.970459i | \(-0.577563\pi\) | ||||
−0.241267 | + | 0.970459i | \(0.577563\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.93955 | −0.149813 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −3.89454 | −0.197970 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −0.167140 | −0.00847433 | −0.00423716 | − | 0.999991i | \(-0.501349\pi\) | ||||
−0.00423716 | + | 0.999991i | \(0.501349\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −50.2781 | −2.54267 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.292405 | 0.0147499 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 37.2927 | 1.87640 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.43898 | −0.323163 | −0.161581 | − | 0.986859i | \(-0.551659\pi\) | ||||
−0.161581 | + | 0.986859i | \(0.551659\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 4.19264 | 0.209895 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 22.4519 | 1.12119 | 0.560597 | − | 0.828089i | \(-0.310572\pi\) | ||||
0.560597 | + | 0.828089i | \(0.310572\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.14381 | −0.0569771 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −20.0992 | −0.998735 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.840405 | 0.0416573 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 31.2869 | 1.54704 | 0.773518 | − | 0.633774i | \(-0.218495\pi\) | ||||
0.773518 | + | 0.633774i | \(0.218495\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −9.14218 | −0.450950 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.878482 | 0.0432273 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.74161 | −0.380021 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1.06856 | 0.0523277 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 5.99916 | 0.293078 | 0.146539 | − | 0.989205i | \(-0.453187\pi\) | ||||
0.146539 | + | 0.989205i | \(0.453187\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.4215 | 0.507911 | 0.253956 | − | 0.967216i | \(-0.418268\pi\) | ||||
0.253956 | + | 0.967216i | \(0.418268\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −19.1950 | −0.933292 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 24.1965 | 1.17370 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.01213 | −0.0489804 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.497051 | 0.0239979 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −18.2146 | −0.877367 | −0.438684 | − | 0.898642i | \(-0.644555\pi\) | ||||
−0.438684 | + | 0.898642i | \(0.644555\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −4.08666 | −0.196392 | −0.0981962 | − | 0.995167i | \(-0.531307\pi\) | ||||
−0.0981962 | + | 0.995167i | \(0.531307\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.0325689 | 0.00156156 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 63.8156 | 3.05271 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.274007 | −0.0130777 | −0.00653883 | − | 0.999979i | \(-0.502081\pi\) | ||||
−0.00653883 | + | 0.999979i | \(0.502081\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.75294 | −0.131092 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 21.2676 | 1.01045 | 0.505226 | − | 0.862987i | \(-0.331409\pi\) | ||||
0.505226 | + | 0.862987i | \(0.331409\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 43.9227 | 2.08213 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −3.14973 | −0.148977 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −12.2838 | −0.579710 | −0.289855 | − | 0.957071i | \(-0.593607\pi\) | ||||
−0.289855 | + | 0.957071i | \(0.593607\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.48124 | −0.211013 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 3.87143 | 0.181896 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −2.93955 | −0.137808 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −11.7234 | −0.548399 | −0.274199 | − | 0.961673i | \(-0.588413\pi\) | ||||
−0.274199 | + | 0.961673i | \(0.588413\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −19.0033 | −0.886999 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 3.19309 | 0.148717 | 0.0743585 | − | 0.997232i | \(-0.476309\pi\) | ||||
0.0743585 | + | 0.997232i | \(0.476309\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 19.9860 | 0.928830 | 0.464415 | − | 0.885618i | \(-0.346265\pi\) | ||||
0.464415 | + | 0.885618i | \(0.346265\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.67122 | −0.0775012 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −38.4088 | −1.77735 | −0.888673 | − | 0.458541i | \(-0.848372\pi\) | ||||
−0.888673 | + | 0.458541i | \(0.848372\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.34149 | −0.385174 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 4.68180 | 0.215726 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −1.41468 | −0.0650472 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −30.7115 | −1.40914 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −32.5241 | −1.48918 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −40.6119 | −1.85561 | −0.927803 | − | 0.373070i | \(-0.878305\pi\) | ||||
−0.927803 | + | 0.373070i | \(0.878305\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.840405 | 0.0383192 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 3.76046 | 0.171107 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −56.6902 | −2.57417 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 29.8727 | 1.35366 | 0.676831 | − | 0.736139i | \(-0.263353\pi\) | ||||
0.676831 | + | 0.736139i | \(0.263353\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 10.9453 | 0.494962 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −5.02149 | −0.226617 | −0.113308 | − | 0.993560i | \(-0.536145\pi\) | ||||
−0.113308 | + | 0.993560i | \(0.536145\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.148136 | −0.00667171 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −8.09240 | −0.363726 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 13.3351 | 0.598160 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −31.2389 | −1.39844 | −0.699222 | − | 0.714905i | \(-0.746470\pi\) | ||||
−0.699222 | + | 0.714905i | \(0.746470\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −9.70223 | −0.433464 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 19.6425 | 0.875818 | 0.437909 | − | 0.899019i | \(-0.355719\pi\) | ||||
0.437909 | + | 0.899019i | \(0.355719\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.99188 | 0.400133 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.497051 | 0.0220748 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −25.1361 | −1.11414 | −0.557068 | − | 0.830467i | \(-0.688074\pi\) | ||||
−0.557068 | + | 0.830467i | \(0.688074\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 8.97242 | 0.396916 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 24.1200 | 1.06492 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −7.42779 | −0.327308 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −6.97254 | −0.306652 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −3.44881 | −0.151386 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −11.1585 | −0.488862 | −0.244431 | − | 0.969667i | \(-0.578601\pi\) | ||||
−0.244431 | + | 0.969667i | \(0.578601\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.91985 | −0.302584 | −0.151292 | − | 0.988489i | \(-0.548343\pi\) | ||||
−0.151292 | + | 0.988489i | \(0.548343\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −1.80973 | −0.0789833 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 7.60137 | 0.331121 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 34.2374 | 1.48858 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.41841 | 0.104950 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.48124 | −0.194104 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −48.2201 | −2.08474 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 2.98931 | 0.128998 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −1.00000 | −0.0430730 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 39.5333 | 1.69967 | 0.849836 | − | 0.527048i | \(-0.176701\pi\) | ||||
0.849836 | + | 0.527048i | \(0.176701\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 5.21616 | 0.223847 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −45.9587 | −1.96865 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 44.8339 | 1.91696 | 0.958479 | − | 0.285162i | \(-0.0920474\pi\) | ||||
0.958479 | + | 0.285162i | \(0.0920474\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −2.78634 | −0.118918 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.188022 | 0.00801001 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.6865 | 0.539487 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.22792 | 0.0521223 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −19.8445 | −0.840839 | −0.420419 | − | 0.907330i | \(-0.638117\pi\) | ||||
−0.420419 | + | 0.907330i | \(0.638117\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.41468 | −0.0598347 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.30324 | −0.139463 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −19.3194 | −0.814216 | −0.407108 | − | 0.913380i | \(-0.633463\pi\) | ||||
−0.407108 | + | 0.913380i | \(0.633463\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −14.9687 | −0.629739 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −6.83750 | −0.287148 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −29.3941 | −1.23227 | −0.616133 | − | 0.787642i | \(-0.711302\pi\) | ||||
−0.616133 | + | 0.787642i | \(0.711302\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −19.6340 | −0.821659 | −0.410829 | − | 0.911712i | \(-0.634761\pi\) | ||||
−0.410829 | + | 0.911712i | \(0.634761\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 4.05944 | 0.169585 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −27.5457 | −1.14874 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.99071 | 0.207766 | 0.103883 | − | 0.994590i | \(-0.466873\pi\) | ||||
0.103883 | + | 0.994590i | \(0.466873\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.23212 | −0.0512053 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −2.63360 | −0.109260 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −11.8143 | −0.489300 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −8.09240 | −0.334580 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −7.15675 | −0.295391 | −0.147695 | − | 0.989033i | \(-0.547186\pi\) | ||||
−0.147695 | + | 0.989033i | \(0.547186\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −9.64806 | −0.397541 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.57176 | 0.270326 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 46.1999 | 1.89720 | 0.948601 | − | 0.316474i | \(-0.102499\pi\) | ||||
0.948601 | + | 0.316474i | \(0.102499\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 19.5353 | 0.800867 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0.319789 | 0.0130881 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 12.3134 | 0.503113 | 0.251556 | − | 0.967843i | \(-0.419058\pi\) | ||||
0.251556 | + | 0.967843i | \(0.419058\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.36559 | −0.178076 | −0.0890380 | − | 0.996028i | \(-0.528379\pi\) | ||||
−0.0890380 | + | 0.996028i | \(0.528379\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −22.9636 | −0.935151 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.93955 | −0.119510 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −7.34490 | −0.298120 | −0.149060 | − | 0.988828i | \(-0.547625\pi\) | ||||
−0.149060 | + | 0.988828i | \(0.547625\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.0110796 | 0.000448967 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −6.97254 | −0.282079 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 40.0829 | 1.61893 | 0.809466 | − | 0.587167i | \(-0.199757\pi\) | ||||
0.809466 | + | 0.587167i | \(0.199757\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −6.54756 | −0.264023 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 36.6470 | 1.47535 | 0.737677 | − | 0.675154i | \(-0.235923\pi\) | ||||
0.737677 | + | 0.675154i | \(0.235923\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.87216 | 0.115442 | 0.0577209 | − | 0.998333i | \(-0.481617\pi\) | ||||
0.0577209 | + | 0.998333i | \(0.481617\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 21.6337 | 0.868131 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 14.9420 | 0.598638 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −29.9482 | −1.19793 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 4.19264 | 0.167438 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −5.58505 | −0.222691 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −18.0530 | −0.718678 | −0.359339 | − | 0.933207i | \(-0.616998\pi\) | ||||
−0.359339 | + | 0.933207i | \(0.616998\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 4.35001 | 0.172897 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −21.5426 | −0.854891 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.00000 | −0.0396214 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 36.7107 | 1.45225 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −21.7333 | −0.858412 | −0.429206 | − | 0.903207i | \(-0.641207\pi\) | ||||
−0.429206 | + | 0.903207i | \(0.641207\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −36.3416 | −1.43317 | −0.716586 | − | 0.697499i | \(-0.754296\pi\) | ||||
−0.716586 | + | 0.697499i | \(0.754296\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.06700 | −0.0813881 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 45.7454 | 1.79844 | 0.899219 | − | 0.437499i | \(-0.144136\pi\) | ||||
0.899219 | + | 0.437499i | \(0.144136\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.878482 | 0.0344835 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.568531 | −0.0222825 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0.230521 | 0.00902100 | 0.00451050 | − | 0.999990i | \(-0.498564\pi\) | ||||
0.00451050 | + | 0.999990i | \(0.498564\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.72928 | −0.0675685 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 24.7005 | 0.963659 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −19.7196 | −0.768167 | −0.384083 | − | 0.923298i | \(-0.625482\pi\) | ||||
−0.384083 | + | 0.923298i | \(0.625482\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −37.0997 | −1.44301 | −0.721505 | − | 0.692409i | \(-0.756549\pi\) | ||||
−0.721505 | + | 0.692409i | \(0.756549\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −3.30324 | −0.128287 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −24.7952 | −0.961516 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.168641 | 0.00652979 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.669550 | −0.0258863 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −1.01213 | −0.0390729 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 23.2123 | 0.894768 | 0.447384 | − | 0.894342i | \(-0.352356\pi\) | ||||
0.447384 | + | 0.894342i | \(0.352356\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −10.4113 | −0.400731 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 21.3929 | 0.822198 | 0.411099 | − | 0.911591i | \(-0.365145\pi\) | ||||
0.411099 | + | 0.911591i | \(0.365145\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −19.2853 | −0.740103 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.476747 | −0.0182690 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 26.8470 | 1.02727 | 0.513636 | − | 0.858008i | \(-0.328298\pi\) | ||||
0.513636 | + | 0.858008i | \(0.328298\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 54.0666 | 2.06578 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −5.16009 | −0.196870 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −11.8143 | −0.450090 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.08393 | 0.269485 | 0.134743 | − | 0.990881i | \(-0.456979\pi\) | ||||
0.134743 | + | 0.990881i | \(0.456979\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.75294 | −0.104576 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −6.31945 | −0.239710 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 29.7808 | 1.12803 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 3.22130 | 0.121841 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −34.7313 | −1.31178 | −0.655892 | − | 0.754855i | \(-0.727707\pi\) | ||||
−0.655892 | + | 0.754855i | \(0.727707\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.08884 | 0.267361 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −10.1876 | −0.383688 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 3.05893 | 0.115043 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 17.0404 | 0.639966 | 0.319983 | − | 0.947423i | \(-0.396323\pi\) | ||||
0.319983 | + | 0.947423i | \(0.396323\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 34.9253 | 1.30980 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −8.65353 | −0.324077 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.93955 | −0.109933 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.733316 | −0.0273862 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −3.21732 | −0.119986 | −0.0599929 | − | 0.998199i | \(-0.519108\pi\) | ||||
−0.0599929 | + | 0.998199i | \(0.519108\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.52685 | −0.0941048 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −4.76173 | −0.177091 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.0811589 | −0.00301416 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −9.07075 | −0.336416 | −0.168208 | − | 0.985752i | \(-0.553798\pi\) | ||||
−0.168208 | + | 0.985752i | \(0.553798\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −14.5593 | −0.539232 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 9.40151 | 0.347727 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −30.8602 | −1.13985 | −0.569923 | − | 0.821698i | \(-0.693027\pi\) | ||||
−0.569923 | + | 0.821698i | \(0.693027\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.46111 | −0.0538937 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −8.34149 | −0.307263 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 30.3010 | 1.11464 | 0.557320 | − | 0.830298i | \(-0.311830\pi\) | ||||
0.557320 | + | 0.830298i | \(0.311830\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4.19264 | 0.154021 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 35.3660 | 1.29745 | 0.648726 | − | 0.761022i | \(-0.275302\pi\) | ||||
0.648726 | + | 0.761022i | \(0.275302\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 18.6275 | 0.682457 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −7.25016 | −0.265269 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −16.4039 | −0.599386 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 22.9692 | 0.838158 | 0.419079 | − | 0.907950i | \(-0.362353\pi\) | ||||
0.419079 | + | 0.907950i | \(0.362353\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 10.3748 | 0.378079 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −22.8956 | −0.833255 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.9833 | 0.399196 | 0.199598 | − | 0.979878i | \(-0.436036\pi\) | ||||
0.199598 | + | 0.979878i | \(0.436036\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 3.76046 | 0.136496 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −32.4052 | −1.17469 | −0.587344 | − | 0.809337i | \(-0.699827\pi\) | ||||
−0.587344 | + | 0.809337i | \(0.699827\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −15.6346 | −0.566011 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 53.7794 | 1.94440 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.878482 | 0.0317202 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.19787 | −0.115318 | −0.0576590 | − | 0.998336i | \(-0.518364\pi\) | ||||
−0.0576590 | + | 0.998336i | \(0.518364\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.2258 | 0.476317 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −42.5718 | −1.53120 | −0.765601 | − | 0.643315i | \(-0.777558\pi\) | ||||
−0.765601 | + | 0.643315i | \(0.777558\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.16454 | 0.149595 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.417724 | 0.0149858 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −37.7994 | −1.35430 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 13.3351 | 0.477167 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0.0637401 | 0.00227789 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −27.6881 | −0.988230 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −25.4656 | −0.907752 | −0.453876 | − | 0.891065i | \(-0.649959\pi\) | ||||
−0.453876 | + | 0.891065i | \(0.649959\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −2.51506 | −0.0895385 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −5.09219 | −0.181057 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.01213 | −0.0359418 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −17.2620 | −0.612219 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1.19398 | 0.0422928 | 0.0211464 | − | 0.999776i | \(-0.493268\pi\) | ||||
0.0211464 | + | 0.999776i | \(0.493268\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 46.3372 | 1.63929 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 41.1344 | 1.45341 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 8.97242 | 0.316630 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −22.2393 | −0.783831 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −5.79087 | −0.203848 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 46.3350 | 1.62905 | 0.814526 | − | 0.580128i | \(-0.196997\pi\) | ||||
0.814526 | + | 0.580128i | \(0.196997\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 6.62835 | 0.232753 | 0.116376 | − | 0.993205i | \(-0.462872\pi\) | ||||
0.116376 | + | 0.993205i | \(0.462872\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −12.2044 | −0.428028 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −64.7301 | −2.26740 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −11.9329 | −0.417479 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −2.75294 | −0.0961955 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −37.1054 | −1.29499 | −0.647493 | − | 0.762071i | \(-0.724183\pi\) | ||||
−0.647493 | + | 0.762071i | \(0.724183\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −18.0648 | −0.629701 | −0.314850 | − | 0.949141i | \(-0.601954\pi\) | ||||
−0.314850 | + | 0.949141i | \(0.601954\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −1.80973 | −0.0630069 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 38.9556 | 1.35462 | 0.677310 | − | 0.735698i | \(-0.263146\pi\) | ||||
0.677310 | + | 0.735698i | \(0.263146\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 25.6819 | 0.891971 | 0.445985 | − | 0.895040i | \(-0.352853\pi\) | ||||
0.445985 | + | 0.895040i | \(0.352853\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 4.37538 | 0.151780 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 6.64567 | 0.230259 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 57.3788 | 1.98567 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −3.27073 | −0.113053 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 46.6244 | 1.60965 | 0.804827 | − | 0.593509i | \(-0.202258\pi\) | ||||
0.804827 | + | 0.593509i | \(0.202258\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.9995 | −0.999983 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 1.28510 | 0.0442610 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −2.93955 | −0.101124 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.00000 | −0.0343604 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −7.46632 | −0.256243 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.35812 | 0.217953 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.03415 | −0.172366 | −0.0861830 | − | 0.996279i | \(-0.527467\pi\) | ||||
−0.0861830 | + | 0.996279i | \(0.527467\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −68.2596 | −2.33443 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 18.5698 | 0.634333 | 0.317166 | − | 0.948370i | \(-0.397269\pi\) | ||||
0.317166 | + | 0.948370i | \(0.397269\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 29.0060 | 0.989673 | 0.494837 | − | 0.868986i | \(-0.335228\pi\) | ||||
0.494837 | + | 0.868986i | \(0.335228\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −2.22740 | −0.0759098 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −13.2955 | −0.452583 | −0.226292 | − | 0.974060i | \(-0.572660\pi\) | ||||
−0.226292 | + | 0.974060i | \(0.572660\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 20.3962 | 0.693490 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 13.5023 | 0.458563 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 12.6865 | 0.430362 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −8.34149 | −0.282640 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −53.0914 | −1.79687 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −3.99501 | −0.135056 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −24.5596 | −0.829320 | −0.414660 | − | 0.909976i | \(-0.636099\pi\) | ||||
−0.414660 | + | 0.909976i | \(0.636099\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 2.77295 | 0.0935291 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −8.92309 | −0.300627 | −0.150313 | − | 0.988638i | \(-0.548028\pi\) | ||||
−0.150313 | + | 0.988638i | \(0.548028\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −7.12193 | −0.239672 | −0.119836 | − | 0.992794i | \(-0.538237\pi\) | ||||
−0.119836 | + | 0.992794i | \(0.538237\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.28356 | 0.0431462 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −32.3572 | −1.08645 | −0.543224 | − | 0.839588i | \(-0.682796\pi\) | ||||
−0.543224 | + | 0.839588i | \(0.682796\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −7.32853 | −0.245791 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −6.83750 | −0.229065 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −58.8136 | −1.96812 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −17.6787 | −0.590935 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 3.76046 | 0.125558 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.0254962 | −0.000850345 0 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 78.5141 | 2.61568 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.703170 | −0.0234000 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −30.8482 | −1.02543 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −40.6121 | −1.34850 | −0.674251 | − | 0.738502i | \(-0.735534\pi\) | ||||
−0.674251 | + | 0.738502i | \(0.735534\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 8.42106 | 0.279309 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −4.77972 | −0.158359 | −0.0791796 | − | 0.996860i | \(-0.525230\pi\) | ||||
−0.0791796 | + | 0.996860i | \(0.525230\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.63360 | −0.0871596 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −1.47883 | −0.0488886 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −0.588280 | −0.0194267 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 36.2542 | 1.19591 | 0.597957 | − | 0.801528i | \(-0.295979\pi\) | ||||
0.597957 | + | 0.801528i | \(0.295979\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 15.3457 | 0.505659 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 13.3351 | 0.438930 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.05987 | −0.100608 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −6.95626 | −0.228474 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 21.3237 | 0.699607 | 0.349803 | − | 0.936823i | \(-0.386248\pi\) | ||||
0.349803 | + | 0.936823i | \(0.386248\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −8.43503 | −0.276447 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −8.74528 | −0.286308 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 19.5353 | 0.638871 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 21.4550 | 0.700904 | 0.350452 | − | 0.936581i | \(-0.386028\pi\) | ||||
0.350452 | + | 0.936581i | \(0.386028\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 2.82073 | 0.0920509 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 36.4897 | 1.18953 | 0.594766 | − | 0.803899i | \(-0.297245\pi\) | ||||
0.594766 | + | 0.803899i | \(0.297245\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −33.9030 | −1.10403 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −8.40565 | −0.273436 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 51.1608 | 1.66250 | 0.831251 | − | 0.555897i | \(-0.187625\pi\) | ||||
0.831251 | + | 0.555897i | \(0.187625\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.97242 | 0.291257 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −14.2791 | −0.463032 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −21.1360 | −0.684661 | −0.342331 | − | 0.939580i | \(-0.611216\pi\) | ||||
−0.342331 | + | 0.939580i | \(0.611216\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −24.0074 | −0.776862 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.0110796 | 0.000358152 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 18.3928 | 0.593935 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −29.6917 | −0.957797 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −45.1590 | −1.45523 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 7.28675 | 0.234569 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −53.5874 | −1.72325 | −0.861627 | − | 0.507542i | \(-0.830554\pi\) | ||||
−0.861627 | + | 0.507542i | \(0.830554\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −27.8629 | −0.895085 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 40.8287 | 1.31026 | 0.655128 | − | 0.755518i | \(-0.272615\pi\) | ||||
0.655128 | + | 0.755518i | \(0.272615\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.14980 | −0.0689195 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −1.80973 | −0.0579579 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 59.8042 | 1.91330 | 0.956652 | − | 0.291232i | \(-0.0940651\pi\) | ||||
0.956652 | + | 0.291232i | \(0.0940651\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 14.9420 | 0.477548 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −43.0411 | −1.37420 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −55.4918 | −1.76991 | −0.884957 | − | 0.465673i | \(-0.845812\pi\) | ||||
−0.884957 | + | 0.465673i | \(0.845812\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −38.8652 | −1.23835 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −3.46571 | −0.110315 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −10.7028 | −0.340330 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −53.4449 | −1.69773 | −0.848866 | − | 0.528608i | \(-0.822714\pi\) | ||||
−0.848866 | + | 0.528608i | \(0.822714\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 11.2576 | 0.357248 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1.89122 | −0.0599559 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 44.0110 | 1.39384 | 0.696922 | − | 0.717147i | \(-0.254553\pi\) | ||||
0.696922 | + | 0.717147i | \(0.254553\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2.40314 | 0.0760321 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))