Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1600,3,Mod(1599,1600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1600.1599");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1600 = 2^{6} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 1600.h (of order \(2\), degree \(1\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(43.5968422976\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{17}]\) |
Coefficient ring index: | \( 2^{17} \) |
Twist minimal: | no (minimal twist has level 20) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 1599.2 | ||
Root | \(0.951057 + 0.309017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1600.1599 |
Dual form | 1600.3.h.n.1599.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1600\mathbb{Z}\right)^\times\).
\(n\) | \(577\) | \(901\) | \(1151\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −3.80423 | −1.26808 | −0.634038 | − | 0.773302i | \(-0.718604\pi\) | ||||
−0.634038 | + | 0.773302i | \(0.718604\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 8.50651 | 1.21522 | 0.607608 | − | 0.794237i | \(-0.292129\pi\) | ||||
0.607608 | + | 0.794237i | \(0.292129\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 5.47214 | 0.608015 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.79611i | 0.163283i | 0.996662 | + | 0.0816415i | \(0.0260162\pi\) | ||||
−0.996662 | + | 0.0816415i | \(0.973984\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − 0.472136i | − 0.0363182i | −0.999835 | − | 0.0181591i | \(-0.994219\pi\) | ||||
0.999835 | − | 0.0181591i | \(-0.00578053\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 23.8885i | 1.40521i | 0.711581 | + | 0.702604i | \(0.247980\pi\) | ||||
−0.711581 | + | 0.702604i | \(0.752020\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 9.40456i | 0.494977i | 0.968891 | + | 0.247489i | \(0.0796053\pi\) | ||||
−0.968891 | + | 0.247489i | \(0.920395\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −32.3607 | −1.54098 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −16.1150 | −0.700650 | −0.350325 | − | 0.936628i | \(-0.613929\pi\) | ||||
−0.350325 | + | 0.936628i | \(0.613929\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 13.4208 | 0.497066 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.94427 | 0.239458 | 0.119729 | − | 0.992807i | \(-0.461797\pi\) | ||||
0.119729 | + | 0.992807i | \(0.461797\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − 47.4468i | − 1.53054i | −0.643708 | − | 0.765271i | \(-0.722605\pi\) | ||||
0.643708 | − | 0.765271i | \(-0.277395\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | − 6.83282i | − 0.207055i | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 26.3607i | 0.712451i | 0.934400 | + | 0.356225i | \(0.115936\pi\) | ||||
−0.934400 | + | 0.356225i | \(0.884064\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.79611i | 0.0460542i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −41.4164 | −1.01016 | −0.505078 | − | 0.863074i | \(-0.668536\pi\) | ||||
−0.505078 | + | 0.863074i | \(0.668536\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.00811 | 0.0467003 | 0.0233502 | − | 0.999727i | \(-0.492567\pi\) | ||||
0.0233502 | + | 0.999727i | \(0.492567\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 35.3481 | 0.752087 | 0.376044 | − | 0.926602i | \(-0.377284\pi\) | ||||
0.376044 | + | 0.926602i | \(0.377284\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 23.3607 | 0.476749 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | − 90.8774i | − 1.78191i | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 21.6393i | 0.408289i | 0.978941 | + | 0.204145i | \(0.0654413\pi\) | ||||
−0.978941 | + | 0.204145i | \(0.934559\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | − 35.7771i | − 0.627668i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | − 73.8644i | − 1.25194i | −0.779848 | − | 0.625970i | \(-0.784703\pi\) | ||||
0.779848 | − | 0.625970i | \(-0.215297\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 26.1378 | 0.428488 | 0.214244 | − | 0.976780i | \(-0.431271\pi\) | ||||
0.214244 | + | 0.976780i | \(0.431271\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 46.5488 | 0.738869 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 88.8693 | 1.32641 | 0.663204 | − | 0.748439i | \(-0.269196\pi\) | ||||
0.663204 | + | 0.748439i | \(0.269196\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 61.3050 | 0.888478 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 39.4144i | 0.555132i | 0.960707 | + | 0.277566i | \(0.0895277\pi\) | ||||
−0.960707 | + | 0.277566i | \(0.910472\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 137.554i | 1.88430i | 0.335186 | + | 0.942152i | \(0.391201\pi\) | ||||
−0.335186 | + | 0.942152i | \(0.608799\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 15.2786i | 0.198424i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − 113.703i | − 1.43928i | −0.694350 | − | 0.719638i | \(-0.744308\pi\) | ||||
0.694350 | − | 0.719638i | \(-0.255692\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −100.305 | −1.23833 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −21.2412 | −0.255919 | −0.127959 | − | 0.991779i | \(-0.540843\pi\) | ||||
−0.127959 | + | 0.991779i | \(0.540843\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −26.4176 | −0.303650 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −67.4427 | −0.757783 | −0.378892 | − | 0.925441i | \(-0.623695\pi\) | ||||
−0.378892 | + | 0.925441i | \(0.623695\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − 4.01623i | − 0.0441344i | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 180.498i | 1.94084i | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 39.1672i | 0.403785i | 0.979408 | + | 0.201893i | \(0.0647092\pi\) | ||||
−0.979408 | + | 0.201893i | \(0.935291\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 9.82857i | 0.0992785i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −99.8885 | −0.988995 | −0.494498 | − | 0.869179i | \(-0.664648\pi\) | ||||
−0.494498 | + | 0.869179i | \(0.664648\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −35.7721 | −0.347302 | −0.173651 | − | 0.984807i | \(-0.555556\pi\) | ||||
−0.173651 | + | 0.984807i | \(0.555556\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −121.099 | −1.13177 | −0.565884 | − | 0.824485i | \(-0.691465\pi\) | ||||
−0.565884 | + | 0.824485i | \(0.691465\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −197.469 | −1.81164 | −0.905821 | − | 0.423660i | \(-0.860745\pi\) | ||||
−0.905821 | + | 0.423660i | \(0.860745\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − 100.282i | − 0.903441i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 81.2786i | 0.719280i | 0.933091 | + | 0.359640i | \(0.117100\pi\) | ||||
−0.933091 | + | 0.359640i | \(0.882900\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | − 2.58359i | − 0.0220820i | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 203.208i | 1.70763i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 117.774 | 0.973339 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 157.557 | 1.28095 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.84616 | 0.0145367 | 0.00726834 | − | 0.999974i | \(-0.497686\pi\) | ||||
0.00726834 | + | 0.999974i | \(0.497686\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −7.63932 | −0.0592195 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 225.609i | 1.72221i | 0.508428 | + | 0.861105i | \(0.330227\pi\) | ||||
−0.508428 | + | 0.861105i | \(0.669773\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 80.0000i | 0.601504i | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 52.8328i | 0.385641i | 0.981234 | + | 0.192820i | \(0.0617635\pi\) | ||||
−0.981234 | + | 0.192820i | \(0.938236\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 125.852i | 0.905407i | 0.891661 | + | 0.452703i | \(0.149540\pi\) | ||||
−0.891661 | + | 0.452703i | \(0.850460\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −134.472 | −0.953703 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.848009 | 0.00593013 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −88.8693 | −0.604553 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 132.971 | 0.892420 | 0.446210 | − | 0.894928i | \(-0.352773\pi\) | ||||
0.446210 | + | 0.894928i | \(0.352773\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 151.221i | 1.00146i | 0.865603 | + | 0.500732i | \(0.166936\pi\) | ||||
−0.865603 | + | 0.500732i | \(0.833064\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 130.721i | 0.854388i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − 36.7477i | − 0.234062i | −0.993128 | − | 0.117031i | \(-0.962662\pi\) | ||||
0.993128 | − | 0.117031i | \(-0.0373376\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | − 82.3209i | − 0.517741i | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −137.082 | −0.851441 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −302.854 | −1.85800 | −0.929000 | − | 0.370079i | \(-0.879331\pi\) | ||||
−0.929000 | + | 0.370079i | \(0.879331\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −99.3839 | −0.595113 | −0.297557 | − | 0.954704i | \(-0.596172\pi\) | ||||
−0.297557 | + | 0.954704i | \(0.596172\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 168.777 | 0.998681 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 51.4631i | 0.300954i | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 181.639i | 1.04994i | 0.851121 | + | 0.524969i | \(0.175923\pi\) | ||||
−0.851121 | + | 0.524969i | \(0.824077\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 280.997i | 1.58755i | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 260.907i | 1.45758i | 0.684735 | + | 0.728792i | \(0.259918\pi\) | ||||
−0.684735 | + | 0.728792i | \(0.740082\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −157.777 | −0.871697 | −0.435848 | − | 0.900020i | \(-0.643552\pi\) | ||||
−0.435848 | + | 0.900020i | \(0.643552\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −99.4340 | −0.543355 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −42.9065 | −0.229447 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 114.164 | 0.604043 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 324.095i | 1.69683i | 0.529328 | + | 0.848417i | \(0.322444\pi\) | ||||
−0.529328 | + | 0.848417i | \(0.677556\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 181.777i | 0.941850i | 0.882173 | + | 0.470925i | \(0.156080\pi\) | ||||
−0.882173 | + | 0.470925i | \(0.843920\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 140.525i | 0.713324i | 0.934234 | + | 0.356662i | \(0.116085\pi\) | ||||
−0.934234 | + | 0.356662i | \(0.883915\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 168.234i | 0.845397i | 0.906270 | + | 0.422698i | \(0.138917\pi\) | ||||
−0.906270 | + | 0.422698i | \(0.861083\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −338.079 | −1.68198 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 59.0715 | 0.290993 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −88.1833 | −0.426006 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −16.8916 | −0.0808213 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 93.9455i | 0.445240i | 0.974905 | + | 0.222620i | \(0.0714608\pi\) | ||||
−0.974905 | + | 0.222620i | \(0.928539\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | − 149.941i | − 0.703949i | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − 403.607i | − 1.85994i | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | − 523.287i | − 2.38944i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 11.2786 | 0.0510346 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 214.035 | 0.959797 | 0.479899 | − | 0.877324i | \(-0.340673\pi\) | ||||
0.479899 | + | 0.877324i | \(0.340673\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −41.4225 | −0.182478 | −0.0912389 | − | 0.995829i | \(-0.529083\pi\) | ||||
−0.0912389 | + | 0.995829i | \(0.529083\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 73.2786 | 0.319994 | 0.159997 | − | 0.987117i | \(-0.448852\pi\) | ||||
0.159997 | + | 0.987117i | \(0.448852\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | − 58.1234i | − 0.251616i | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | − 307.050i | − 1.31781i | −0.752227 | − | 0.658905i | \(-0.771020\pi\) | ||||
0.752227 | − | 0.658905i | \(-0.228980\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 432.551i | 1.82511i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − 42.9065i | − 0.179525i | −0.995963 | − | 0.0897625i | \(-0.971389\pi\) | ||||
0.995963 | − | 0.0897625i | \(-0.0286108\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −135.082 | −0.560506 | −0.280253 | − | 0.959926i | \(-0.590418\pi\) | ||||
−0.280253 | + | 0.959926i | \(0.590418\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 260.796 | 1.07323 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.44023 | 0.0179767 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 80.8065 | 0.324524 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − 221.169i | − 0.881152i | −0.897715 | − | 0.440576i | \(-0.854774\pi\) | ||||
0.897715 | − | 0.440576i | \(-0.145226\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − 28.9443i | − 0.114404i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 257.056i | 1.00022i | 0.865963 | + | 0.500108i | \(0.166707\pi\) | ||||
−0.865963 | + | 0.500108i | \(0.833293\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 224.237i | 0.865781i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 38.0000 | 0.145594 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −164.168 | −0.624212 | −0.312106 | − | 0.950047i | \(-0.601034\pi\) | ||||
−0.312106 | + | 0.950047i | \(0.601034\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 256.567 | 0.960926 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −35.4752 | −0.131878 | −0.0659391 | − | 0.997824i | \(-0.521004\pi\) | ||||
−0.0659391 | + | 0.997824i | \(0.521004\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − 298.950i | − 1.10314i | −0.834130 | − | 0.551568i | \(-0.814030\pi\) | ||||
0.834130 | − | 0.551568i | \(-0.185970\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 15.2786i | 0.0559657i | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − 457.246i | − 1.65071i | −0.564616 | − | 0.825354i | \(-0.690976\pi\) | ||||
0.564616 | − | 0.825354i | \(-0.309024\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | − 259.635i | − 0.930593i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −5.63932 | −0.0200688 | −0.0100344 | − | 0.999950i | \(-0.503194\pi\) | ||||
−0.0100344 | + | 0.999950i | \(0.503194\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 169.918 | 0.600418 | 0.300209 | − | 0.953874i | \(-0.402944\pi\) | ||||
0.300209 | + | 0.953874i | \(0.402944\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −352.309 | −1.22756 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −281.663 | −0.974611 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − 149.001i | − 0.512030i | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 26.8591i | 0.0916694i | 0.998949 | + | 0.0458347i | \(0.0145947\pi\) | ||||
−0.998949 | + | 0.0458347i | \(0.985405\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 24.1052i | 0.0811624i | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 7.60845i | 0.0254463i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 17.0820 | 0.0567510 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 379.999 | 1.25412 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −118.031 | −0.384466 | −0.192233 | − | 0.981349i | \(-0.561573\pi\) | ||||
−0.192233 | + | 0.981349i | \(0.561573\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 136.085 | 0.440405 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | − 121.835i | − 0.391753i | −0.980629 | − | 0.195877i | \(-0.937245\pi\) | ||||
0.980629 | − | 0.195877i | \(-0.0627552\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 219.548i | 0.701431i | 0.936482 | + | 0.350716i | \(0.114062\pi\) | ||||
−0.936482 | + | 0.350716i | \(0.885938\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 366.859i | 1.15728i | 0.815582 | + | 0.578642i | \(0.196417\pi\) | ||||
−0.815582 | + | 0.578642i | \(0.803583\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 12.4727i | 0.0390993i | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 460.689 | 1.43517 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −224.661 | −0.695546 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 751.217 | 2.29730 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 300.689 | 0.913948 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − 162.846i | − 0.491981i | −0.969272 | − | 0.245990i | \(-0.920887\pi\) | ||||
0.969272 | − | 0.245990i | \(-0.0791132\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 144.249i | 0.433181i | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − 17.1084i | − 0.0507666i | −0.999678 | − | 0.0253833i | \(-0.991919\pi\) | ||||
0.999678 | − | 0.0253833i | \(-0.00808063\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | − 309.202i | − 0.912101i | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 85.2198 | 0.249911 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −218.101 | −0.635863 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 167.498 | 0.482703 | 0.241351 | − | 0.970438i | \(-0.422409\pi\) | ||||
0.241351 | + | 0.970438i | \(0.422409\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −483.495 | −1.38537 | −0.692687 | − | 0.721239i | \(-0.743573\pi\) | ||||
−0.692687 | + | 0.721239i | \(0.743573\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − 6.33644i | − 0.0180525i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 307.994i | 0.872504i | 0.899825 | + | 0.436252i | \(0.143694\pi\) | ||||
−0.899825 | + | 0.436252i | \(0.856306\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | − 773.050i | − 2.16540i | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − 23.2494i | − 0.0647615i | −0.999476 | − | 0.0323807i | \(-0.989691\pi\) | ||||
0.999476 | − | 0.0323807i | \(-0.0103089\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 272.554 | 0.754998 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −448.039 | −1.23427 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 517.325 | 1.40960 | 0.704802 | − | 0.709404i | \(-0.251036\pi\) | ||||
0.704802 | + | 0.709404i | \(0.251036\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −226.636 | −0.614190 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 184.075i | 0.496159i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 88.3545i | 0.236875i | 0.992961 | + | 0.118438i | \(0.0377886\pi\) | ||||
−0.992961 | + | 0.118438i | \(0.962211\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − 3.27864i | − 0.00869666i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − 19.3332i | − 0.0510112i | −0.999675 | − | 0.0255056i | \(-0.991880\pi\) | ||||
0.999675 | − | 0.0255056i | \(-0.00811956\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −7.02321 | −0.0184336 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −431.612 | −1.12692 | −0.563462 | − | 0.826142i | \(-0.690531\pi\) | ||||
−0.563462 | + | 0.826142i | \(0.690531\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 10.9887 | 0.0283945 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −296.354 | −0.761837 | −0.380918 | − | 0.924609i | \(-0.624392\pi\) | ||||
−0.380918 | + | 0.924609i | \(0.624392\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − 384.963i | − 0.984560i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | − 858.269i | − 2.18389i | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − 86.1904i | − 0.217104i | −0.994091 | − | 0.108552i | \(-0.965379\pi\) | ||||
0.994091 | − | 0.108552i | \(-0.0346214\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | − 304.338i | − 0.762752i | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 442.997 | 1.10473 | 0.552365 | − | 0.833602i | \(-0.313725\pi\) | ||||
0.552365 | + | 0.833602i | \(0.313725\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −22.4014 | −0.0555865 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −47.3467 | −0.116331 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −63.4102 | −0.155037 | −0.0775186 | − | 0.996991i | \(-0.524700\pi\) | ||||
−0.0775186 | + | 0.996991i | \(0.524700\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − 200.988i | − 0.489022i | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | − 628.328i | − 1.52138i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − 478.768i | − 1.14812i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 435.678i | 1.03980i | 0.854226 | + | 0.519902i | \(0.174032\pi\) | ||||
−0.854226 | + | 0.519902i | \(0.825968\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 582.912 | 1.38459 | 0.692294 | − | 0.721615i | \(-0.256600\pi\) | ||||
0.692294 | + | 0.721615i | \(0.256600\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 193.430 | 0.457280 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 222.341 | 0.520705 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −3.22602 | −0.00751986 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − 375.882i | − 0.872117i | −0.899918 | − | 0.436058i | \(-0.856374\pi\) | ||||
0.899918 | − | 0.436058i | \(-0.143626\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − 368.164i | − 0.850263i | −0.905131 | − | 0.425132i | \(-0.860228\pi\) | ||||
0.905131 | − | 0.425132i | \(-0.139772\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − 151.554i | − 0.346806i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 483.549i | 1.10148i | 0.834677 | + | 0.550739i | \(0.185654\pi\) | ||||
−0.834677 | + | 0.550739i | \(0.814346\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 127.833 | 0.289870 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 279.181 | 0.630205 | 0.315102 | − | 0.949058i | \(-0.397961\pi\) | ||||
0.315102 | + | 0.949058i | \(0.397961\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −505.850 | −1.13166 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −756.079 | −1.68392 | −0.841959 | − | 0.539542i | \(-0.818597\pi\) | ||||
−0.841959 | + | 0.539542i | \(0.818597\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − 74.3885i | − 0.164941i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | − 575.279i | − 1.26993i | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − 285.672i | − 0.625103i | −0.949901 | − | 0.312551i | \(-0.898816\pi\) | ||||
0.949901 | − | 0.312551i | \(-0.101184\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 320.603i | 0.698482i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 99.1146 | 0.214999 | 0.107500 | − | 0.994205i | \(-0.465716\pi\) | ||||
0.107500 | + | 0.994205i | \(0.465716\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −630.603 | −1.36199 | −0.680997 | − | 0.732286i | \(-0.738453\pi\) | ||||
−0.680997 | + | 0.732286i | \(0.738453\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 496.010 | 1.06212 | 0.531060 | − | 0.847334i | \(-0.321794\pi\) | ||||
0.531060 | + | 0.847334i | \(0.321794\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 755.967 | 1.61187 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 139.796i | 0.296808i | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.60680i | 0.00762537i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 118.413i | 0.248246i | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 579.090i | 1.20896i | 0.796621 | + | 0.604478i | \(0.206618\pi\) | ||||
−0.796621 | + | 0.604478i | \(0.793382\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 12.4458 | 0.0258749 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 521.491 | 1.07969 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −626.363 | −1.28617 | −0.643084 | − | 0.765796i | \(-0.722345\pi\) | ||||
−0.643084 | + | 0.765796i | \(0.722345\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 1152.13 | 2.35608 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 22.3013i | 0.0454201i | 0.999742 | + | 0.0227100i | \(0.00722945\pi\) | ||||
−0.999742 | + | 0.0227100i | \(0.992771\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 165.889i | 0.336488i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 335.279i | 0.674605i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − 627.362i | − 1.25724i | −0.777714 | − | 0.628619i | \(-0.783621\pi\) | ||||
0.777714 | − | 0.628619i | \(-0.216379\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 378.079 | 0.754649 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 780.853 | 1.55239 | 0.776196 | − | 0.630492i | \(-0.217147\pi\) | ||||
0.776196 | + | 0.630492i | \(0.217147\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −642.066 | −1.26640 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −288.950 | −0.567683 | −0.283841 | − | 0.958871i | \(-0.591609\pi\) | ||||
−0.283841 | + | 0.958871i | \(0.591609\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1170.11i | 2.28984i | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 126.217i | 0.246036i | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 63.4891i | 0.122803i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − 690.997i | − 1.33140i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −602.984 | −1.15736 | −0.578680 | − | 0.815555i | \(-0.696432\pi\) | ||||
−0.578680 | + | 0.815555i | \(0.696432\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −367.962 | −0.703560 | −0.351780 | − | 0.936083i | \(-0.614423\pi\) | ||||
−0.351780 | + | 0.936083i | \(0.614423\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1133.44 | 2.15073 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −269.308 | −0.509089 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − 404.196i | − 0.761198i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 19.5542i | 0.0366870i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | − 992.551i | − 1.84833i | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 41.9584i | 0.0778449i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 616.885 | 1.14027 | 0.570134 | − | 0.821551i | \(-0.306891\pi\) | ||||
0.570134 | + | 0.821551i | \(0.306891\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 600.220 | 1.10538 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −97.8499 | −0.178885 | −0.0894423 | − | 0.995992i | \(-0.528508\pi\) | ||||
−0.0894423 | + | 0.995992i | \(0.528508\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 143.029 | 0.260527 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 65.3078i | 0.118526i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | − 967.214i | − 1.74903i | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 896.302i | 1.60916i | 0.593845 | + | 0.804580i | \(0.297609\pi\) | ||||
−0.593845 | + | 0.804580i | \(0.702391\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − 0.948103i | − 0.00169607i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 163.226 | 0.290955 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −771.186 | −1.36978 | −0.684890 | − | 0.728647i | \(-0.740150\pi\) | ||||
−0.684890 | + | 0.728647i | \(0.740150\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −853.245 | −1.50484 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −8.74767 | −0.0153738 | −0.00768688 | − | 0.999970i | \(-0.502447\pi\) | ||||
−0.00768688 | + | 0.999970i | \(0.502447\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 511.138i | 0.895164i | 0.894243 | + | 0.447582i | \(0.147715\pi\) | ||||
−0.894243 | + | 0.447582i | \(0.852285\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − 1232.93i | − 2.15171i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 713.712i | 1.23694i | 0.785810 | + | 0.618468i | \(0.212246\pi\) | ||||
−0.785810 | + | 0.618468i | \(0.787754\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | − 691.521i | − 1.19434i | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −180.689 | −0.310996 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −38.8666 | −0.0666666 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −422.169 | −0.719198 | −0.359599 | − | 0.933107i | \(-0.617086\pi\) | ||||
−0.359599 | + | 0.933107i | \(0.617086\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 446.217 | 0.757584 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − 534.588i | − 0.904548i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | − 308.663i | − 0.520510i | −0.965540 | − | 0.260255i | \(-0.916193\pi\) | ||||
0.965540 | − | 0.260255i | \(-0.0838067\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | − 640.000i | − 1.07203i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − 462.196i | − 0.771612i | −0.922580 | − | 0.385806i | \(-0.873923\pi\) | ||||
0.922580 | − | 0.385806i | \(-0.126077\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 355.358 | 0.591277 | 0.295639 | − | 0.955300i | \(-0.404468\pi\) | ||||
0.295639 | + | 0.955300i | \(0.404468\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 486.305 | 0.806476 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −630.403 | −1.03856 | −0.519278 | − | 0.854605i | \(-0.673799\pi\) | ||||
−0.519278 | + | 0.854605i | \(0.673799\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −224.721 | −0.369001 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − 16.6891i | − 0.0273144i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − 812.525i | − 1.32549i | −0.748846 | − | 0.662745i | \(-0.769392\pi\) | ||||
0.748846 | − | 0.662745i | \(-0.230608\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 437.935i | 0.709781i | 0.934908 | + | 0.354891i | \(0.115482\pi\) | ||||
−0.934908 | + | 0.354891i | \(0.884518\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 770.250i | 1.24435i | 0.782880 | + | 0.622173i | \(0.213750\pi\) | ||||
−0.782880 | + | 0.622173i | \(0.786250\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −216.276 | −0.348270 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −573.702 | −0.920870 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 64.2597 | 0.102487 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −629.718 | −1.00114 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 875.496i | 1.38747i | 0.720228 | + | 0.693737i | \(0.244037\pi\) | ||||
−0.720228 | + | 0.693737i | \(0.755963\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | − 357.390i | − 0.564597i | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − 11.0294i | − 0.0173146i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 215.681i | 0.337529i | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 842.571 | 1.31446 | 0.657232 | − | 0.753689i | \(-0.271727\pi\) | ||||
0.657232 | + | 0.753689i | \(0.271727\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1153.20 | 1.79348 | 0.896738 | − | 0.442563i | \(-0.145931\pi\) | ||||
0.896738 | + | 0.442563i | \(0.145931\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 355.751 | 0.549847 | 0.274924 | − | 0.961466i | \(-0.411347\pi\) | ||||
0.274924 | + | 0.961466i | \(0.411347\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 132.669 | 0.204420 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1535.41i | 2.35854i | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 557.915i | 0.854387i | 0.904160 | + | 0.427194i | \(0.140498\pi\) | ||||
−0.904160 | + | 0.427194i | \(0.859502\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 752.715i | 1.14569i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − 284.157i | − 0.431194i | −0.976482 | − | 0.215597i | \(-0.930830\pi\) | ||||
0.976482 | − | 0.215597i | \(-0.0691697\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −716.735 | −1.08432 | −0.542160 | − | 0.840275i | \(-0.682393\pi\) | ||||
−0.542160 | + | 0.840275i | \(0.682393\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −42.9065 | −0.0647157 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −111.907 | −0.167776 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −814.237 | −1.21710 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 46.9464i | 0.0699648i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − 695.378i | − 1.03325i | −0.856212 | − | 0.516625i | \(-0.827188\pi\) | ||||
0.856212 | − | 0.516625i | \(-0.172812\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − 820.237i | − 1.21158i | −0.795626 | − | 0.605788i | \(-0.792858\pi\) | ||||
0.795626 | − | 0.605788i | \(-0.207142\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 333.176i | 0.490686i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 157.580 | 0.231396 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −335.508 | −0.491227 | −0.245613 | − | 0.969368i | \(-0.578989\pi\) | ||||
−0.245613 | + | 0.969368i | \(0.578989\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −278.769 | −0.405777 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 10.2167 | 0.0148283 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 336.568i | 0.487074i | 0.969892 | + | 0.243537i | \(0.0783077\pi\) | ||||
−0.969892 | + | 0.243537i | \(0.921692\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 83.6068i | 0.120645i | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − 989.378i | − 1.41948i | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1168.09i | 1.67108i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 429.364 | 0.612502 | 0.306251 | − | 0.951951i | \(-0.400925\pi\) | ||||
0.306251 | + | 0.951951i | \(0.400925\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −247.911 | −0.352647 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −849.703 | −1.20184 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1224.60 | 1.72722 | 0.863609 | − | 0.504162i | \(-0.168199\pi\) | ||||
0.863609 | + | 0.504162i | \(0.168199\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | − 622.197i | − 0.875101i | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 764.604i | 1.07238i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 163.226i | 0.227651i | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 496.022i | 0.689877i | 0.938625 | + | 0.344939i | \(0.112100\pi\) | ||||
−0.938625 | + | 0.344939i | \(0.887900\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −304.296 | −0.422047 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 513.883 | 0.710764 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 152.843 | 0.210238 | 0.105119 | − | 0.994460i | \(-0.466478\pi\) | ||||
0.105119 | + | 0.994460i | \(0.466478\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −89.3808 | −0.122607 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 47.9709i | 0.0656237i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 761.286i | 1.03859i | 0.854595 | + | 0.519295i | \(0.173805\pi\) | ||||
−0.854595 | + | 0.519295i | \(0.826195\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 159.619i | 0.216580i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 183.975i | 0.248951i | 0.992223 | + | 0.124476i | \(0.0397249\pi\) | ||||
−0.992223 | + | 0.124476i | \(0.960275\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −16.8916 | −0.0227957 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 495.247 | 0.666551 | 0.333275 | − | 0.942830i | \(-0.391846\pi\) | ||||
0.333275 | + | 0.942830i | \(0.391846\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −116.235 | −0.155602 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1030.13 | −1.37534 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − 800.059i | − 1.06533i | −0.846328 | − | 0.532663i | \(-0.821191\pi\) | ||||
0.846328 | − | 0.532663i | \(-0.178809\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 841.378i | 1.11737i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − 276.367i | − 0.365082i | −0.983198 | − | 0.182541i | \(-0.941568\pi\) | ||||
0.983198 | − | 0.182541i | \(-0.0584322\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 110.111i | 0.145073i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 891.207 | 1.17110 | 0.585550 | − | 0.810636i | \(-0.300879\pi\) | ||||
0.585550 | + | 0.810636i | \(0.300879\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1679.77 | −2.20154 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −34.8740 | −0.0454681 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 835.430 | 1.08639 | 0.543193 | − | 0.839608i | \(-0.317215\pi\) | ||||
0.543193 | + | 0.839608i | \(0.317215\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − 977.898i | − 1.26835i | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | − 213.522i | − 0.276225i | −0.990417 | − | 0.138112i | \(-0.955897\pi\) | ||||
0.990417 | − | 0.138112i | \(-0.0441035\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | − 853.050i | − 1.09788i | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | − 389.503i | − 0.500004i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −70.7926 | −0.0906436 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 93.1976 | 0.119026 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −370.182 | −0.470371 | −0.235185 | − | 0.971951i | \(-0.575570\pi\) | ||||
−0.235185 | + | 0.971951i | \(0.575570\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 624.531 | 0.791547 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 691.397i | 0.874080i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − 12.3406i | − 0.0155619i | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 274.426i | 0.344323i | 0.985069 | + | 0.172162i | \(0.0550752\pi\) | ||||
−0.985069 | + | 0.172162i | \(0.944925\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 844.414i | 1.05684i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −369.056 | −0.460744 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −247.063 | −0.307675 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 134.956 | 0.167232 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −665.214 | −0.822266 | −0.411133 | − | 0.911575i | \(-0.634867\pi\) | ||||
−0.411133 | + | 0.911575i | \(0.634867\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − 360.665i | − 0.444717i | −0.974965 | − | 0.222358i | \(-0.928624\pi\) | ||||
0.974965 | − | 0.222358i | \(-0.0713755\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1137.27i | 1.39886i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 18.8854i | 0.0231156i | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | − 21.9773i | − 0.0268344i | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 666.899 | 0.812301 | 0.406151 | − | 0.913806i | \(-0.366871\pi\) | ||||
0.406151 | + | 0.913806i | \(0.366871\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −122.433 | −0.148764 | −0.0743822 | − | 0.997230i | \(-0.523698\pi\) | ||||
−0.0743822 | + | 0.997230i | \(0.523698\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 1532.98 | 1.85366 | 0.926832 | − | 0.375477i | \(-0.122521\pi\) | ||||
0.926832 | + | 0.375477i | \(0.122521\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −195.475 | −0.235796 | −0.117898 | − | 0.993026i | \(-0.537616\pi\) | ||||
−0.117898 | + | 0.993026i | \(0.537616\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 1739.47i | 2.09322i | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 558.053i | 0.669931i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − 636.774i | − 0.760781i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | − 1325.97i | − 1.58041i | −0.612840 | − | 0.790207i | \(-0.709973\pi\) | ||||
0.612840 | − | 0.790207i | \(-0.290027\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −792.777 | −0.942660 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 21.4532 | 0.0254487 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1001.85 | 1.18282 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −646.407 | −0.761375 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − 424.801i | − 0.499179i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − 1055.28i | − 1.23714i | −0.785730 | − | 0.618570i | \(-0.787712\pi\) | ||||
0.785730 | − | 0.618570i | \(-0.212288\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | − 155.378i | − 0.181304i | −0.995883 | − | 0.0906521i | \(-0.971105\pi\) | ||||
0.995883 | − | 0.0906521i | \(-0.0288951\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − 226.033i | − 0.263136i | −0.991307 | − | 0.131568i | \(-0.957999\pi\) | ||||
0.991307 | − | 0.131568i | \(-0.0420011\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1340.26 | 1.55664 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −930.702 | −1.07845 | −0.539225 | − | 0.842162i | \(-0.681283\pi\) | ||||
−0.539225 | + | 0.842162i | \(0.681283\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 1071.51 | 1.23588 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 204.223 | 0.235009 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − 41.9584i | − 0.0481727i | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 214.328i | 0.245508i | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | − 33.5217i | − 0.0382231i | −0.999817 | − | 0.0191115i | \(-0.993916\pi\) | ||||
0.999817 | − | 0.0191115i | \(-0.00608376\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − 102.178i | − 0.116244i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −933.850 | −1.05999 | −0.529994 | − | 0.848001i | \(-0.677806\pi\) | ||||
−0.529994 | + | 0.848001i | \(0.677806\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 542.308 | 0.614166 | 0.307083 | − | 0.951683i | \(-0.400647\pi\) | ||||
0.307083 | + | 0.951683i | \(0.400647\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −714.720 | −0.805773 | −0.402886 | − | 0.915250i | \(-0.631993\pi\) | ||||
−0.402886 | + | 0.915250i | \(0.631993\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 15.7044 | 0.0176652 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | − 180.159i | − 0.202199i | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 332.433i | 0.372266i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | − 28.9443i | − 0.0322679i | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | − 329.484i | − 0.366500i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −516.932 | −0.573731 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −64.9839 | −0.0719645 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 347.233 | 0.382837 | 0.191418 | − | 0.981509i | \(-0.438691\pi\) | ||||
0.191418 | + | 0.981509i | \(0.438691\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −546.604 | −0.601324 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − 1427.54i | − 1.56701i | −0.621386 | − | 0.783504i | \(-0.713430\pi\) | ||||
0.621386 | − | 0.783504i | \(-0.286570\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − 38.1517i | − 0.0417871i | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 1919.15i | 2.09286i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − 569.162i | − 0.619327i | −0.950846 | − | 0.309664i | \(-0.899784\pi\) | ||||
0.950846 | − | 0.309664i | \(-0.100216\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 449.017 | 0.487532 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 18.6089 | 0.0201614 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −195.750 | −0.211165 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −1535.96 | −1.65335 | −0.826675 | − | 0.562680i | \(-0.809770\pi\) | ||||
−0.826675 | + | 0.562680i | \(0.809770\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 219.697i | 0.235980i | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 463.489i | 0.496773i | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − 338.721i | − 0.361496i | −0.983529 | − | 0.180748i | \(-0.942148\pi\) | ||||
0.983529 | − | 0.180748i | \(-0.0578518\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − 835.210i | − 0.889468i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −1439.77 | −1.53004 | −0.765022 | − | 0.644004i | \(-0.777272\pi\) | ||||
−0.765022 | + | 0.644004i | \(0.777272\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 667.424 | 0.707766 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 656.135 | 0.692856 | 0.346428 | − | 0.938077i | \(-0.387394\pi\) | ||||
0.346428 | + | 0.938077i | \(0.387394\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 64.9443 | 0.0684344 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − 1395.62i | − 1.46752i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 436.675i | 0.458211i | 0.973402 | + | 0.229105i | \(0.0735801\pi\) | ||||
−0.973402 | + | 0.229105i | \(0.926420\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | − 47.4489i | − 0.0495809i | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 449.423i | 0.468637i | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1290.20 | −1.34256 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −662.671 | −0.688132 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 903.436 | 0.934267 | 0.467133 | − | 0.884187i | \(-0.345287\pi\) | ||||
0.467133 | + | 0.884187i | \(0.345287\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 854.663 | 0.882005 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − 1866.89i | − 1.92265i | −0.275420 | − | 0.961324i | \(-0.588817\pi\) | ||||
0.275420 | − | 0.961324i | \(-0.411183\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1070.56i | 1.10026i | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 1073.95i | 1.09923i | 0.835418 | + | 0.549615i | \(0.185226\pi\) | ||||
−0.835418 | + | 0.549615i | \(0.814774\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − 121.135i | − 0.123733i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1080.58 | −1.10151 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 534.114 | 0.543351 | 0.271675 | − | 0.962389i | \(-0.412422\pi\) | ||||
0.271675 | + | 0.962389i | \(0.412422\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −1143.89 | −1.15895 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −32.3607 | −0.0327206 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − 520.419i | − 0.525146i | −0.964912 | − | 0.262573i | \(-0.915429\pi\) | ||||
0.964912 | − | 0.262573i | \(-0.0845710\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 619.502i | 0.623869i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 457.680i | 0.459057i | 0.973302 | + | 0.229528i | \(0.0737184\pi\) | ||||
−0.973302 | + | 0.229528i | \(0.926282\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 353.781i | 0.354135i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))