Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [3969,2,Mod(1,3969)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3969, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("3969.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 3969 = 3^{4} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3969.a (trivial) |
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: | yes |
Analytic conductor: | \(31.6926245622\) |
Analytic rank: | \(0\) |
Dimension: | \(3\) |
Coefficient field: | \(\Q(\zeta_{18})^+\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{3} - 3x - 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(1.87939\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 3969.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.879385 | −0.621819 | −0.310910 | − | 0.950439i | \(-0.600634\pi\) | ||||
−0.310910 | + | 0.950439i | \(0.600634\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.22668 | −0.613341 | ||||||||
\(5\) | −1.34730 | −0.602529 | −0.301265 | − | 0.953541i | \(-0.597409\pi\) | ||||
−0.301265 | + | 0.953541i | \(0.597409\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.83750 | 1.00321 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.18479 | 0.374664 | ||||||||
\(11\) | 1.65270 | 0.498309 | 0.249154 | − | 0.968464i | \(-0.419847\pi\) | ||||
0.249154 | + | 0.968464i | \(0.419847\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.36959 | 0.934555 | 0.467277 | − | 0.884111i | \(-0.345235\pi\) | ||||
0.467277 | + | 0.884111i | \(0.345235\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.0418891 | −0.0104723 | ||||||||
\(17\) | −0.467911 | −0.113485 | −0.0567426 | − | 0.998389i | \(-0.518071\pi\) | ||||
−0.0567426 | + | 0.998389i | \(0.518071\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.22668 | 0.740252 | 0.370126 | − | 0.928982i | \(-0.379315\pi\) | ||||
0.370126 | + | 0.928982i | \(0.379315\pi\) | |||||||
\(20\) | 1.65270 | 0.369556 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.45336 | −0.309858 | ||||||||
\(23\) | 8.94356 | 1.86486 | 0.932431 | − | 0.361348i | \(-0.117683\pi\) | ||||
0.932431 | + | 0.361348i | \(0.117683\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.18479 | −0.636959 | ||||||||
\(26\) | −2.96316 | −0.581124 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.26857 | 1.16404 | 0.582022 | − | 0.813173i | \(-0.302262\pi\) | ||||
0.582022 | + | 0.813173i | \(0.302262\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −9.23442 | −1.65855 | −0.829276 | − | 0.558840i | \(-0.811247\pi\) | ||||
−0.829276 | + | 0.558840i | \(0.811247\pi\) | |||||||
\(32\) | −5.63816 | −0.996695 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.411474 | 0.0705672 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 9.23442 | 1.51813 | 0.759065 | − | 0.651015i | \(-0.225657\pi\) | ||||
0.759065 | + | 0.651015i | \(0.225657\pi\) | |||||||
\(38\) | −2.83750 | −0.460303 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.82295 | −0.604461 | ||||||||
\(41\) | −3.41147 | −0.532783 | −0.266391 | − | 0.963865i | \(-0.585831\pi\) | ||||
−0.266391 | + | 0.963865i | \(0.585831\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.41147 | −0.672743 | −0.336372 | − | 0.941729i | \(-0.609200\pi\) | ||||
−0.336372 | + | 0.941729i | \(0.609200\pi\) | |||||||
\(44\) | −2.02734 | −0.305633 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.86484 | −1.15961 | ||||||||
\(47\) | −9.35504 | −1.36457 | −0.682286 | − | 0.731085i | \(-0.739014\pi\) | ||||
−0.682286 | + | 0.731085i | \(0.739014\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2.80066 | 0.396073 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.13341 | −0.573201 | ||||||||
\(53\) | −0.573978 | −0.0788419 | −0.0394210 | − | 0.999223i | \(-0.512551\pi\) | ||||
−0.0394210 | + | 0.999223i | \(0.512551\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.22668 | −0.300246 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.51249 | −0.723825 | ||||||||
\(59\) | 10.3969 | 1.35356 | 0.676782 | − | 0.736183i | \(-0.263374\pi\) | ||||
0.676782 | + | 0.736183i | \(0.263374\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.63816 | −0.977966 | −0.488983 | − | 0.872293i | \(-0.662632\pi\) | ||||
−0.488983 | + | 0.872293i | \(0.662632\pi\) | |||||||
\(62\) | 8.12061 | 1.03132 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.04189 | 0.630236 | ||||||||
\(65\) | −4.53983 | −0.563097 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.596267 | 0.0728456 | 0.0364228 | − | 0.999336i | \(-0.488404\pi\) | ||||
0.0364228 | + | 0.999336i | \(0.488404\pi\) | |||||||
\(68\) | 0.573978 | 0.0696051 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.554378 | −0.0657925 | −0.0328963 | − | 0.999459i | \(-0.510473\pi\) | ||||
−0.0328963 | + | 0.999459i | \(0.510473\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.04963 | −0.239891 | −0.119946 | − | 0.992780i | \(-0.538272\pi\) | ||||
−0.119946 | + | 0.992780i | \(0.538272\pi\) | |||||||
\(74\) | −8.12061 | −0.944002 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.95811 | −0.454026 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.40373 | −0.270441 | −0.135221 | − | 0.990816i | \(-0.543174\pi\) | ||||
−0.135221 | + | 0.990816i | \(0.543174\pi\) | |||||||
\(80\) | 0.0564370 | 0.00630985 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.00000 | 0.331295 | ||||||||
\(83\) | 15.0496 | 1.65191 | 0.825956 | − | 0.563735i | \(-0.190636\pi\) | ||||
0.825956 | + | 0.563735i | \(0.190636\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.630415 | 0.0683781 | ||||||||
\(86\) | 3.87939 | 0.418325 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.68954 | 0.499907 | ||||||||
\(89\) | −9.08647 | −0.963164 | −0.481582 | − | 0.876401i | \(-0.659938\pi\) | ||||
−0.481582 | + | 0.876401i | \(0.659938\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −10.9709 | −1.14380 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 8.22668 | 0.848517 | ||||||||
\(95\) | −4.34730 | −0.446023 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.89899 | 0.192813 | 0.0964064 | − | 0.995342i | \(-0.469265\pi\) | ||||
0.0964064 | + | 0.995342i | \(0.469265\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.90673 | 0.390673 | ||||||||
\(101\) | 1.70914 | 0.170066 | 0.0850329 | − | 0.996378i | \(-0.472900\pi\) | ||||
0.0850329 | + | 0.996378i | \(0.472900\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.63816 | 0.358478 | 0.179239 | − | 0.983806i | \(-0.442636\pi\) | ||||
0.179239 | + | 0.983806i | \(0.442636\pi\) | |||||||
\(104\) | 9.56118 | 0.937551 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.504748 | 0.0490254 | ||||||||
\(107\) | 7.12836 | 0.689124 | 0.344562 | − | 0.938764i | \(-0.388027\pi\) | ||||
0.344562 | + | 0.938764i | \(0.388027\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.403733 | 0.0386706 | 0.0193353 | − | 0.999813i | \(-0.493845\pi\) | ||||
0.0193353 | + | 0.999813i | \(0.493845\pi\) | |||||||
\(110\) | 1.95811 | 0.186699 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 14.3696 | 1.35178 | 0.675888 | − | 0.737004i | \(-0.263760\pi\) | ||||
0.675888 | + | 0.737004i | \(0.263760\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −12.0496 | −1.12363 | ||||||||
\(116\) | −7.68954 | −0.713956 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −9.14290 | −0.841672 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.26857 | −0.751688 | ||||||||
\(122\) | 6.71688 | 0.608118 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 11.3277 | 1.01726 | ||||||||
\(125\) | 11.0273 | 0.986315 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −20.7716 | −1.84318 | −0.921589 | − | 0.388167i | \(-0.873108\pi\) | ||||
−0.921589 | + | 0.388167i | \(0.873108\pi\) | |||||||
\(128\) | 6.84255 | 0.604802 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.99226 | 0.350144 | ||||||||
\(131\) | 7.16519 | 0.626026 | 0.313013 | − | 0.949749i | \(-0.398662\pi\) | ||||
0.313013 | + | 0.949749i | \(0.398662\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −0.524348 | −0.0452968 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.32770 | −0.113849 | ||||||||
\(137\) | 2.56893 | 0.219478 | 0.109739 | − | 0.993960i | \(-0.464998\pi\) | ||||
0.109739 | + | 0.993960i | \(0.464998\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.13341 | 0.520229 | 0.260114 | − | 0.965578i | \(-0.416240\pi\) | ||||
0.260114 | + | 0.965578i | \(0.416240\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.487511 | 0.0409111 | ||||||||
\(143\) | 5.56893 | 0.465697 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.44562 | −0.701371 | ||||||||
\(146\) | 1.80241 | 0.149169 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −11.3277 | −0.931131 | ||||||||
\(149\) | 0.431074 | 0.0353150 | 0.0176575 | − | 0.999844i | \(-0.494379\pi\) | ||||
0.0176575 | + | 0.999844i | \(0.494379\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.47060 | −0.201055 | −0.100527 | − | 0.994934i | \(-0.532053\pi\) | ||||
−0.100527 | + | 0.994934i | \(0.532053\pi\) | |||||||
\(152\) | 9.15570 | 0.742625 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 12.4415 | 0.999326 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.1334 | −0.808734 | −0.404367 | − | 0.914597i | \(-0.632508\pi\) | ||||
−0.404367 | + | 0.914597i | \(0.632508\pi\) | |||||||
\(158\) | 2.11381 | 0.168166 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 7.59627 | 0.600538 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.59627 | −0.203355 | −0.101678 | − | 0.994817i | \(-0.532421\pi\) | ||||
−0.101678 | + | 0.994817i | \(0.532421\pi\) | |||||||
\(164\) | 4.18479 | 0.326777 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −13.2344 | −1.02719 | ||||||||
\(167\) | 23.1830 | 1.79396 | 0.896979 | − | 0.442074i | \(-0.145757\pi\) | ||||
0.896979 | + | 0.442074i | \(0.145757\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.64590 | −0.126607 | ||||||||
\(170\) | −0.554378 | −0.0425188 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.41147 | 0.412621 | ||||||||
\(173\) | 4.75196 | 0.361285 | 0.180643 | − | 0.983549i | \(-0.442182\pi\) | ||||
0.180643 | + | 0.983549i | \(0.442182\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −0.0692302 | −0.00521842 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.99050 | 0.598914 | ||||||||
\(179\) | −8.53209 | −0.637718 | −0.318859 | − | 0.947802i | \(-0.603300\pi\) | ||||
−0.318859 | + | 0.947802i | \(0.603300\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 17.2344 | 1.28102 | 0.640512 | − | 0.767948i | \(-0.278722\pi\) | ||||
0.640512 | + | 0.767948i | \(0.278722\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 25.3773 | 1.87084 | ||||||||
\(185\) | −12.4415 | −0.914718 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.773318 | −0.0565506 | ||||||||
\(188\) | 11.4757 | 0.836948 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.82295 | 0.277346 | ||||||||
\(191\) | 12.9094 | 0.934092 | 0.467046 | − | 0.884233i | \(-0.345318\pi\) | ||||
0.467046 | + | 0.884233i | \(0.345318\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.638156 | −0.0459355 | −0.0229677 | − | 0.999736i | \(-0.507311\pi\) | ||||
−0.0229677 | + | 0.999736i | \(0.507311\pi\) | |||||||
\(194\) | −1.66994 | −0.119895 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 11.4456 | 0.815467 | 0.407733 | − | 0.913101i | \(-0.366319\pi\) | ||||
0.407733 | + | 0.913101i | \(0.366319\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.63816 | 0.257902 | 0.128951 | − | 0.991651i | \(-0.458839\pi\) | ||||
0.128951 | + | 0.991651i | \(0.458839\pi\) | |||||||
\(200\) | −9.03684 | −0.639001 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.50299 | −0.105750 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.59627 | 0.321017 | ||||||||
\(206\) | −3.19934 | −0.222909 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.141149 | −0.00978691 | ||||||||
\(209\) | 5.33275 | 0.368874 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.82295 | 0.400868 | 0.200434 | − | 0.979707i | \(-0.435765\pi\) | ||||
0.200434 | + | 0.979707i | \(0.435765\pi\) | |||||||
\(212\) | 0.704088 | 0.0483570 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −6.26857 | −0.428511 | ||||||||
\(215\) | 5.94356 | 0.405348 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −0.355037 | −0.0240461 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.73143 | 0.184153 | ||||||||
\(221\) | −1.57667 | −0.106058 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.08378 | −0.474365 | −0.237182 | − | 0.971465i | \(-0.576224\pi\) | ||||
−0.237182 | + | 0.971465i | \(0.576224\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −12.6364 | −0.840561 | ||||||||
\(227\) | 11.9436 | 0.792722 | 0.396361 | − | 0.918095i | \(-0.370273\pi\) | ||||
0.396361 | + | 0.918095i | \(0.370273\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 17.5526 | 1.15991 | 0.579955 | − | 0.814649i | \(-0.303070\pi\) | ||||
0.579955 | + | 0.814649i | \(0.303070\pi\) | |||||||
\(230\) | 10.5963 | 0.698697 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 17.7870 | 1.16778 | ||||||||
\(233\) | 16.2540 | 1.06484 | 0.532418 | − | 0.846481i | \(-0.321283\pi\) | ||||
0.532418 | + | 0.846481i | \(0.321283\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 12.6040 | 0.822195 | ||||||||
\(236\) | −12.7537 | −0.830196 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −15.0993 | −0.976690 | −0.488345 | − | 0.872651i | \(-0.662399\pi\) | ||||
−0.488345 | + | 0.872651i | \(0.662399\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 15.6382 | 1.00734 | 0.503671 | − | 0.863896i | \(-0.331982\pi\) | ||||
0.503671 | + | 0.863896i | \(0.331982\pi\) | |||||||
\(242\) | 7.27126 | 0.467414 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 9.36959 | 0.599826 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.8726 | 0.691806 | ||||||||
\(248\) | −26.2026 | −1.66387 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −9.69728 | −0.613310 | ||||||||
\(251\) | −19.0651 | −1.20338 | −0.601690 | − | 0.798730i | \(-0.705506\pi\) | ||||
−0.601690 | + | 0.798730i | \(0.705506\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 14.7811 | 0.929277 | ||||||||
\(254\) | 18.2662 | 1.14612 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −16.1010 | −1.00631 | ||||||||
\(257\) | −26.5817 | −1.65812 | −0.829061 | − | 0.559158i | \(-0.811124\pi\) | ||||
−0.829061 | + | 0.559158i | \(0.811124\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 5.56893 | 0.345370 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −6.30096 | −0.389275 | ||||||||
\(263\) | −0.734118 | −0.0452676 | −0.0226338 | − | 0.999744i | \(-0.507205\pi\) | ||||
−0.0226338 | + | 0.999744i | \(0.507205\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.773318 | 0.0475046 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.731429 | −0.0446792 | ||||||||
\(269\) | 20.8503 | 1.27126 | 0.635632 | − | 0.771992i | \(-0.280739\pi\) | ||||
0.635632 | + | 0.771992i | \(0.280739\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.95811 | −0.422675 | −0.211338 | − | 0.977413i | \(-0.567782\pi\) | ||||
−0.211338 | + | 0.977413i | \(0.567782\pi\) | |||||||
\(272\) | 0.0196004 | 0.00118845 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.25908 | −0.136476 | ||||||||
\(275\) | −5.26352 | −0.317402 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 17.8726 | 1.07386 | 0.536930 | − | 0.843627i | \(-0.319584\pi\) | ||||
0.536930 | + | 0.843627i | \(0.319584\pi\) | |||||||
\(278\) | −5.39363 | −0.323488 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 22.3105 | 1.33093 | 0.665465 | − | 0.746429i | \(-0.268233\pi\) | ||||
0.665465 | + | 0.746429i | \(0.268233\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 18.5945 | 1.10533 | 0.552665 | − | 0.833404i | \(-0.313611\pi\) | ||||
0.552665 | + | 0.833404i | \(0.313611\pi\) | |||||||
\(284\) | 0.680045 | 0.0403532 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.89723 | −0.289579 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.7811 | −0.987121 | ||||||||
\(290\) | 7.42696 | 0.436126 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.51424 | 0.147135 | ||||||||
\(293\) | −13.0915 | −0.764815 | −0.382407 | − | 0.923994i | \(-0.624905\pi\) | ||||
−0.382407 | + | 0.923994i | \(0.624905\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −14.0077 | −0.815562 | ||||||||
\(296\) | 26.2026 | 1.52300 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.379081 | −0.0219595 | ||||||||
\(299\) | 30.1361 | 1.74282 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 2.17261 | 0.125020 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.135163 | −0.00775211 | ||||||||
\(305\) | 10.2909 | 0.589253 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −6.31046 | −0.360157 | −0.180078 | − | 0.983652i | \(-0.557635\pi\) | ||||
−0.180078 | + | 0.983652i | \(0.557635\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −10.9409 | −0.621400 | ||||||||
\(311\) | 9.52435 | 0.540076 | 0.270038 | − | 0.962850i | \(-0.412964\pi\) | ||||
0.270038 | + | 0.962850i | \(0.412964\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 17.6287 | 0.996431 | 0.498215 | − | 0.867053i | \(-0.333989\pi\) | ||||
0.498215 | + | 0.867053i | \(0.333989\pi\) | |||||||
\(314\) | 8.91117 | 0.502886 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.94862 | 0.165873 | ||||||||
\(317\) | 8.07697 | 0.453648 | 0.226824 | − | 0.973936i | \(-0.427166\pi\) | ||||
0.226824 | + | 0.973936i | \(0.427166\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 10.3601 | 0.580054 | ||||||||
\(320\) | −6.79292 | −0.379736 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.50980 | −0.0840075 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −10.7314 | −0.595273 | ||||||||
\(326\) | 2.28312 | 0.126450 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −9.68004 | −0.534491 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 23.0496 | 1.26692 | 0.633461 | − | 0.773775i | \(-0.281634\pi\) | ||||
0.633461 | + | 0.773775i | \(0.281634\pi\) | |||||||
\(332\) | −18.4611 | −1.01318 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −20.3868 | −1.11552 | ||||||||
\(335\) | −0.803348 | −0.0438916 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 29.0232 | 1.58100 | 0.790498 | − | 0.612465i | \(-0.209822\pi\) | ||||
0.790498 | + | 0.612465i | \(0.209822\pi\) | |||||||
\(338\) | 1.44738 | 0.0787269 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.773318 | −0.0419391 | ||||||||
\(341\) | −15.2618 | −0.826471 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −12.5175 | −0.674901 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −4.17881 | −0.224654 | ||||||||
\(347\) | 12.9463 | 0.694991 | 0.347496 | − | 0.937682i | \(-0.387032\pi\) | ||||
0.347496 | + | 0.937682i | \(0.387032\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.46286 | −0.0783050 | −0.0391525 | − | 0.999233i | \(-0.512466\pi\) | ||||
−0.0391525 | + | 0.999233i | \(0.512466\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −9.31820 | −0.496662 | ||||||||
\(353\) | −14.3327 | −0.762855 | −0.381428 | − | 0.924399i | \(-0.624567\pi\) | ||||
−0.381428 | + | 0.924399i | \(0.624567\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.746911 | 0.0396419 | ||||||||
\(356\) | 11.1462 | 0.590747 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 7.50299 | 0.396546 | ||||||||
\(359\) | −20.9368 | −1.10500 | −0.552500 | − | 0.833513i | \(-0.686326\pi\) | ||||
−0.552500 | + | 0.833513i | \(0.686326\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.58853 | −0.452028 | ||||||||
\(362\) | −15.1557 | −0.796566 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.76146 | 0.144541 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 12.0574 | 0.629390 | 0.314695 | − | 0.949193i | \(-0.398098\pi\) | ||||
0.314695 | + | 0.949193i | \(0.398098\pi\) | |||||||
\(368\) | −0.374638 | −0.0195293 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 10.9409 | 0.568789 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.781059 | −0.0404417 | −0.0202209 | − | 0.999796i | \(-0.506437\pi\) | ||||
−0.0202209 | + | 0.999796i | \(0.506437\pi\) | |||||||
\(374\) | 0.680045 | 0.0351643 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −26.5449 | −1.36895 | ||||||||
\(377\) | 21.1225 | 1.08786 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.92396 | −0.355660 | −0.177830 | − | 0.984061i | \(-0.556908\pi\) | ||||
−0.177830 | + | 0.984061i | \(0.556908\pi\) | |||||||
\(380\) | 5.33275 | 0.273564 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11.3523 | −0.580837 | ||||||||
\(383\) | −7.73236 | −0.395105 | −0.197553 | − | 0.980292i | \(-0.563299\pi\) | ||||
−0.197553 | + | 0.980292i | \(0.563299\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0.561185 | 0.0285636 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.32945 | −0.118260 | ||||||||
\(389\) | 5.39961 | 0.273771 | 0.136886 | − | 0.990587i | \(-0.456291\pi\) | ||||
0.136886 | + | 0.990587i | \(0.456291\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.18479 | −0.211634 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −10.0651 | −0.507073 | ||||||||
\(395\) | 3.23854 | 0.162949 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 29.2344 | 1.46723 | 0.733617 | − | 0.679563i | \(-0.237831\pi\) | ||||
0.733617 | + | 0.679563i | \(0.237831\pi\) | |||||||
\(398\) | −3.19934 | −0.160368 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.133408 | 0.00667040 | ||||||||
\(401\) | −27.3979 | −1.36818 | −0.684092 | − | 0.729396i | \(-0.739801\pi\) | ||||
−0.684092 | + | 0.729396i | \(0.739801\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −31.1162 | −1.55001 | ||||||||
\(404\) | −2.09657 | −0.104308 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 15.2618 | 0.756498 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.02498 | 0.446256 | 0.223128 | − | 0.974789i | \(-0.428373\pi\) | ||||
0.223128 | + | 0.974789i | \(0.428373\pi\) | |||||||
\(410\) | −4.04189 | −0.199615 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.46286 | −0.219869 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −20.2763 | −0.995325 | ||||||||
\(416\) | −18.9982 | −0.931466 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −4.68954 | −0.229373 | ||||||||
\(419\) | −0.175297 | −0.00856382 | −0.00428191 | − | 0.999991i | \(-0.501363\pi\) | ||||
−0.00428191 | + | 0.999991i | \(0.501363\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −24.7050 | −1.20405 | −0.602025 | − | 0.798478i | \(-0.705639\pi\) | ||||
−0.602025 | + | 0.798478i | \(0.705639\pi\) | |||||||
\(422\) | −5.12061 | −0.249268 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.62866 | −0.0790947 | ||||||||
\(425\) | 1.49020 | 0.0722853 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −8.74422 | −0.422668 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −5.22668 | −0.252053 | ||||||||
\(431\) | −29.3191 | −1.41225 | −0.706126 | − | 0.708086i | \(-0.749559\pi\) | ||||
−0.706126 | + | 0.708086i | \(0.749559\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −19.6554 | −0.944578 | −0.472289 | − | 0.881444i | \(-0.656572\pi\) | ||||
−0.472289 | + | 0.881444i | \(0.656572\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.495252 | −0.0237183 | ||||||||
\(437\) | 28.8580 | 1.38047 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 21.9299 | 1.04666 | 0.523330 | − | 0.852130i | \(-0.324690\pi\) | ||||
0.523330 | + | 0.852130i | \(0.324690\pi\) | |||||||
\(440\) | −6.31820 | −0.301208 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.38650 | 0.0659489 | ||||||||
\(443\) | −18.7101 | −0.888942 | −0.444471 | − | 0.895793i | \(-0.646608\pi\) | ||||
−0.444471 | + | 0.895793i | \(0.646608\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 12.2422 | 0.580334 | ||||||||
\(446\) | 6.22937 | 0.294969 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.68004 | 0.315251 | 0.157625 | − | 0.987499i | \(-0.449616\pi\) | ||||
0.157625 | + | 0.987499i | \(0.449616\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.63816 | −0.265490 | ||||||||
\(452\) | −17.6269 | −0.829100 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −10.5030 | −0.492930 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −19.4287 | −0.908837 | −0.454418 | − | 0.890788i | \(-0.650153\pi\) | ||||
−0.454418 | + | 0.890788i | \(0.650153\pi\) | |||||||
\(458\) | −15.4355 | −0.721254 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 14.7811 | 0.689170 | ||||||||
\(461\) | 0.965852 | 0.0449842 | 0.0224921 | − | 0.999747i | \(-0.492840\pi\) | ||||
0.0224921 | + | 0.999747i | \(0.492840\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.445622 | −0.0207098 | −0.0103549 | − | 0.999946i | \(-0.503296\pi\) | ||||
−0.0103549 | + | 0.999946i | \(0.503296\pi\) | |||||||
\(464\) | −0.262585 | −0.0121902 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −14.2935 | −0.662136 | ||||||||
\(467\) | 34.2148 | 1.58327 | 0.791637 | − | 0.610992i | \(-0.209229\pi\) | ||||
0.791637 | + | 0.610992i | \(0.209229\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −11.0838 | −0.511257 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 29.5012 | 1.35790 | ||||||||
\(473\) | −7.29086 | −0.335234 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.2763 | −0.471510 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 13.2781 | 0.607325 | ||||||||
\(479\) | 21.7929 | 0.995744 | 0.497872 | − | 0.867251i | \(-0.334115\pi\) | ||||
0.497872 | + | 0.867251i | \(0.334115\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 31.1162 | 1.41878 | ||||||||
\(482\) | −13.7520 | −0.626385 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 10.1429 | 0.461041 | ||||||||
\(485\) | −2.55850 | −0.116175 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 19.3928 | 0.878772 | 0.439386 | − | 0.898298i | \(-0.355196\pi\) | ||||
0.439386 | + | 0.898298i | \(0.355196\pi\) | |||||||
\(488\) | −21.6732 | −0.981101 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 26.1566 | 1.18043 | 0.590216 | − | 0.807245i | \(-0.299043\pi\) | ||||
0.590216 | + | 0.807245i | \(0.299043\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.93313 | −0.132102 | ||||||||
\(494\) | −9.56118 | −0.430178 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.386821 | 0.0173688 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14.3013 | −0.640214 | −0.320107 | − | 0.947381i | \(-0.603719\pi\) | ||||
−0.320107 | + | 0.947381i | \(0.603719\pi\) | |||||||
\(500\) | −13.5270 | −0.604947 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 16.7656 | 0.748284 | ||||||||
\(503\) | −18.7033 | −0.833937 | −0.416969 | − | 0.908921i | \(-0.636908\pi\) | ||||
−0.416969 | + | 0.908921i | \(0.636908\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.30272 | −0.102470 | ||||||||
\(506\) | −12.9982 | −0.577842 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 25.4801 | 1.13050 | ||||||||
\(509\) | 25.6091 | 1.13510 | 0.567551 | − | 0.823338i | \(-0.307891\pi\) | ||||
0.567551 | + | 0.823338i | \(0.307891\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0.473897 | 0.0209435 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 23.3756 | 1.03105 | ||||||||
\(515\) | −4.90167 | −0.215994 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −15.4611 | −0.679979 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −12.8817 | −0.564902 | ||||||||
\(521\) | 21.2121 | 0.929320 | 0.464660 | − | 0.885489i | \(-0.346176\pi\) | ||||
0.464660 | + | 0.885489i | \(0.346176\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.8057 | −0.909770 | −0.454885 | − | 0.890550i | \(-0.650320\pi\) | ||||
−0.454885 | + | 0.890550i | \(0.650320\pi\) | |||||||
\(524\) | −8.78941 | −0.383967 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.645572 | 0.0281483 | ||||||||
\(527\) | 4.32089 | 0.188221 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 56.9873 | 2.47771 | ||||||||
\(530\) | −0.680045 | −0.0295393 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −11.4953 | −0.497915 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −9.60401 | −0.415217 | ||||||||
\(536\) | 1.69190 | 0.0730791 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −18.3354 | −0.790497 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 26.7297 | 1.14920 | 0.574599 | − | 0.818435i | \(-0.305158\pi\) | ||||
0.574599 | + | 0.818435i | \(0.305158\pi\) | |||||||
\(542\) | 6.11886 | 0.262828 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.63816 | 0.113110 | ||||||||
\(545\) | −0.543948 | −0.0233002 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 36.7624 | 1.57185 | 0.785923 | − | 0.618324i | \(-0.212188\pi\) | ||||
0.785923 | + | 0.618324i | \(0.212188\pi\) | |||||||
\(548\) | −3.15125 | −0.134615 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 4.62866 | 0.197367 | ||||||||
\(551\) | 20.2267 | 0.861686 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −15.7169 | −0.667746 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.52374 | −0.319078 | ||||||||
\(557\) | 32.3387 | 1.37024 | 0.685118 | − | 0.728432i | \(-0.259751\pi\) | ||||
0.685118 | + | 0.728432i | \(0.259751\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −14.8648 | −0.628716 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −19.6195 | −0.827598 | ||||||||
\(563\) | 17.7419 | 0.747730 | 0.373865 | − | 0.927483i | \(-0.378032\pi\) | ||||
0.373865 | + | 0.927483i | \(0.378032\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −19.3601 | −0.814485 | ||||||||
\(566\) | −16.3517 | −0.687315 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.57304 | −0.0660035 | ||||||||
\(569\) | −26.6013 | −1.11519 | −0.557593 | − | 0.830115i | \(-0.688275\pi\) | ||||
−0.557593 | + | 0.830115i | \(0.688275\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10.0172 | −0.419208 | −0.209604 | − | 0.977786i | \(-0.567218\pi\) | ||||
−0.209604 | + | 0.977786i | \(0.567218\pi\) | |||||||
\(572\) | −6.83130 | −0.285631 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −28.4834 | −1.18784 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 32.9145 | 1.37025 | 0.685124 | − | 0.728427i | \(-0.259748\pi\) | ||||
0.685124 | + | 0.728427i | \(0.259748\pi\) | |||||||
\(578\) | 14.7570 | 0.613811 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 10.3601 | 0.430179 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.948615 | −0.0392876 | ||||||||
\(584\) | −5.81582 | −0.240660 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 11.5125 | 0.475577 | ||||||||
\(587\) | 15.0729 | 0.622123 | 0.311062 | − | 0.950390i | \(-0.399315\pi\) | ||||
0.311062 | + | 0.950390i | \(0.399315\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −29.7965 | −1.22775 | ||||||||
\(590\) | 12.3182 | 0.507132 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.386821 | −0.0158983 | ||||||||
\(593\) | −41.0009 | −1.68371 | −0.841853 | − | 0.539706i | \(-0.818535\pi\) | ||||
−0.841853 | + | 0.539706i | \(0.818535\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −0.528791 | −0.0216601 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −26.5012 | −1.08372 | ||||||||
\(599\) | 6.07367 | 0.248164 | 0.124082 | − | 0.992272i | \(-0.460401\pi\) | ||||
0.124082 | + | 0.992272i | \(0.460401\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.1352 | 0.576585 | 0.288293 | − | 0.957542i | \(-0.406912\pi\) | ||||
0.288293 | + | 0.957542i | \(0.406912\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 3.03064 | 0.123315 | ||||||||
\(605\) | 11.1402 | 0.452914 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −46.0898 | −1.87073 | −0.935363 | − | 0.353689i | \(-0.884927\pi\) | ||||
−0.935363 | + | 0.353689i | \(0.884927\pi\) | |||||||
\(608\) | −18.1925 | −0.737805 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −9.04963 | −0.366409 | ||||||||
\(611\) | −31.5226 | −1.27527 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −26.4938 | −1.07008 | −0.535038 | − | 0.844828i | \(-0.679703\pi\) | ||||
−0.535038 | + | 0.844828i | \(0.679703\pi\) | |||||||
\(614\) | 5.54933 | 0.223953 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.24990 | −0.0905777 | −0.0452889 | − | 0.998974i | \(-0.514421\pi\) | ||||
−0.0452889 | + | 0.998974i | \(0.514421\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.19078 | −0.248828 | −0.124414 | − | 0.992230i | \(-0.539705\pi\) | ||||
−0.124414 | + | 0.992230i | \(0.539705\pi\) | |||||||
\(620\) | −15.2618 | −0.612927 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −8.37557 | −0.335830 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.06687 | 0.0426746 | ||||||||
\(626\) | −15.5024 | −0.619600 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.4305 | 0.496030 | ||||||||
\(629\) | −4.32089 | −0.172285 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.1661 | 1.04166 | 0.520829 | − | 0.853661i | \(-0.325623\pi\) | ||||
0.520829 | + | 0.853661i | \(0.325623\pi\) | |||||||
\(632\) | −6.82058 | −0.271308 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −7.10277 | −0.282087 | ||||||||
\(635\) | 27.9855 | 1.11057 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −9.11051 | −0.360689 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −9.21894 | −0.364411 | ||||||||
\(641\) | 4.88888 | 0.193099 | 0.0965496 | − | 0.995328i | \(-0.469219\pi\) | ||||
0.0965496 | + | 0.995328i | \(0.469219\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 40.3678 | 1.59195 | 0.795976 | − | 0.605328i | \(-0.206958\pi\) | ||||
0.795976 | + | 0.605328i | \(0.206958\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.32770 | 0.0522375 | ||||||||
\(647\) | 2.28075 | 0.0896657 | 0.0448329 | − | 0.998995i | \(-0.485724\pi\) | ||||
0.0448329 | + | 0.998995i | \(0.485724\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 17.1830 | 0.674493 | ||||||||
\(650\) | 9.43706 | 0.370152 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.18479 | 0.124726 | ||||||||
\(653\) | 23.4793 | 0.918815 | 0.459407 | − | 0.888226i | \(-0.348062\pi\) | ||||
0.459407 | + | 0.888226i | \(0.348062\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.65364 | −0.377199 | ||||||||
\(656\) | 0.142903 | 0.00557944 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −47.9623 | −1.86835 | −0.934174 | − | 0.356818i | \(-0.883862\pi\) | ||||
−0.934174 | + | 0.356818i | \(0.883862\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −29.3090 | −1.13999 | −0.569995 | − | 0.821648i | \(-0.693055\pi\) | ||||
−0.569995 | + | 0.821648i | \(0.693055\pi\) | |||||||
\(662\) | −20.2695 | −0.787797 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 42.7033 | 1.65721 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 56.0634 | 2.17078 | ||||||||
\(668\) | −28.4382 | −1.10031 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.706452 | 0.0272926 | ||||||||
\(671\) | −12.6236 | −0.487329 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 26.3182 | 1.01449 | 0.507246 | − | 0.861801i | \(-0.330664\pi\) | ||||
0.507246 | + | 0.861801i | \(0.330664\pi\) | |||||||
\(674\) | −25.5226 | −0.983094 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.01899 | 0.0776535 | ||||||||
\(677\) | −35.8907 | −1.37939 | −0.689697 | − | 0.724098i | \(-0.742256\pi\) | ||||
−0.689697 | + | 0.724098i | \(0.742256\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 1.78880 | 0.0685973 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 13.4210 | 0.513915 | ||||||||
\(683\) | 35.0642 | 1.34169 | 0.670847 | − | 0.741596i | \(-0.265931\pi\) | ||||
0.670847 | + | 0.741596i | \(0.265931\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.46110 | −0.132242 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.184793 | 0.00704515 | ||||||||
\(689\) | −1.93407 | −0.0736821 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.06687 | −0.0786273 | −0.0393136 | − | 0.999227i | \(-0.512517\pi\) | ||||
−0.0393136 | + | 0.999227i | \(0.512517\pi\) | |||||||
\(692\) | −5.82915 | −0.221591 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −11.3847 | −0.432159 | ||||||||
\(695\) | −8.26352 | −0.313453 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.59627 | 0.0604629 | ||||||||
\(698\) | 1.28642 | 0.0486916 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −7.36009 | −0.277987 | −0.138993 | − | 0.990293i | \(-0.544387\pi\) | ||||
−0.138993 | + | 0.990293i | \(0.544387\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 29.7965 | 1.12380 | ||||||||
\(704\) | 8.33275 | 0.314052 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 12.6040 | 0.474358 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 9.10876 | 0.342086 | 0.171043 | − | 0.985264i | \(-0.445286\pi\) | ||||
0.171043 | + | 0.985264i | \(0.445286\pi\) | |||||||
\(710\) | −0.656822 | −0.0246501 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −25.7828 | −0.966252 | ||||||||
\(713\) | −82.5886 | −3.09297 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −7.50299 | −0.280596 | ||||||||
\(716\) | 10.4662 | 0.391139 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 18.4115 | 0.687110 | ||||||||
\(719\) | 25.9537 | 0.967908 | 0.483954 | − | 0.875093i | \(-0.339200\pi\) | ||||
0.483954 | + | 0.875093i | \(0.339200\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 7.55262 | 0.281080 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −21.1411 | −0.785705 | ||||||||
\(725\) | −19.9641 | −0.741448 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.1601 | 0.376819 | 0.188409 | − | 0.982091i | \(-0.439667\pi\) | ||||
0.188409 | + | 0.982091i | \(0.439667\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.42839 | −0.0898786 | ||||||||
\(731\) | 2.06418 | 0.0763464 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −40.6614 | −1.50186 | −0.750931 | − | 0.660381i | \(-0.770395\pi\) | ||||
−0.750931 | + | 0.660381i | \(0.770395\pi\) | |||||||
\(734\) | −10.6031 | −0.391367 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −50.4252 | −1.85870 | ||||||||
\(737\) | 0.985452 | 0.0362996 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −25.3618 | −0.932951 | −0.466475 | − | 0.884534i | \(-0.654476\pi\) | ||||
−0.466475 | + | 0.884534i | \(0.654476\pi\) | |||||||
\(740\) | 15.2618 | 0.561034 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −22.4442 | −0.823398 | −0.411699 | − | 0.911320i | \(-0.635064\pi\) | ||||
−0.411699 | + | 0.911320i | \(0.635064\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.580785 | −0.0212783 | ||||||||
\(746\) | 0.686852 | 0.0251474 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.948615 | 0.0346848 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 24.2172 | 0.883698 | 0.441849 | − | 0.897090i | \(-0.354323\pi\) | ||||
0.441849 | + | 0.897090i | \(0.354323\pi\) | |||||||
\(752\) | 0.391874 | 0.0142902 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −18.5748 | −0.676454 | ||||||||
\(755\) | 3.32863 | 0.121141 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 9.11793 | 0.331397 | 0.165698 | − | 0.986176i | \(-0.447012\pi\) | ||||
0.165698 | + | 0.986176i | \(0.447012\pi\) | |||||||
\(758\) | 6.08883 | 0.221156 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −12.3354 | −0.447453 | ||||||||
\(761\) | 18.2722 | 0.662366 | 0.331183 | − | 0.943566i | \(-0.392552\pi\) | ||||
0.331183 | + | 0.943566i | \(0.392552\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −15.8357 | −0.572917 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 6.79973 | 0.245684 | ||||||||
\(767\) | 35.0333 | 1.26498 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −18.5294 | −0.668187 | −0.334094 | − | 0.942540i | \(-0.608430\pi\) | ||||
−0.334094 | + | 0.942540i | \(0.608430\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.782814 | 0.0281741 | ||||||||
\(773\) | 2.96080 | 0.106493 | 0.0532463 | − | 0.998581i | \(-0.483043\pi\) | ||||
0.0532463 | + | 0.998581i | \(0.483043\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 29.4097 | 1.05643 | ||||||||
\(776\) | 5.38836 | 0.193431 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.74834 | −0.170236 | ||||||||
\(779\) | −11.0077 | −0.394393 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.916222 | −0.0327850 | ||||||||
\(782\) | 3.68004 | 0.131598 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 13.6527 | 0.487286 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 33.4020 | 1.19065 | 0.595326 | − | 0.803484i | \(-0.297023\pi\) | ||||
0.595326 | + | 0.803484i | \(0.297023\pi\) | |||||||
\(788\) | −14.0401 | −0.500159 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.84793 | −0.101325 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −25.7374 | −0.913962 | ||||||||
\(794\) | −25.7083 | −0.912354 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −4.46286 | −0.158182 | ||||||||
\(797\) | −49.3509 | −1.74810 | −0.874050 | − | 0.485837i | \(-0.838515\pi\) | ||||
−0.874050 | + | 0.485837i | \(0.838515\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.37733 | 0.154859 | ||||||||
\(800\) | 17.9564 | 0.634853 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 24.0933 | 0.850763 | ||||||||
\(803\) | −3.38743 | −0.119540 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 27.3631 | 0.963824 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.84968 | 0.170611 | ||||||||
\(809\) | 19.8280 | 0.697115 | 0.348558 | − | 0.937287i | \(-0.386672\pi\) | ||||
0.348558 | + | 0.937287i | \(0.386672\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 23.8557 | 0.837686 | 0.418843 | − | 0.908059i | \(-0.362436\pi\) | ||||
0.418843 | + | 0.908059i | \(0.362436\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −13.4210 | −0.470405 | ||||||||
\(815\) | 3.49794 | 0.122528 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −14.2344 | −0.497999 | ||||||||
\(818\) | −7.93643 | −0.277491 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −5.63816 | −0.196893 | ||||||||
\(821\) | −50.9427 | −1.77791 | −0.888957 | − | 0.457991i | \(-0.848569\pi\) | ||||
−0.888957 | + | 0.457991i | \(0.848569\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 13.6149 | 0.474587 | 0.237293 | − | 0.971438i | \(-0.423740\pi\) | ||||
0.237293 | + | 0.971438i | \(0.423740\pi\) | |||||||
\(824\) | 10.3233 | 0.359628 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.2158 | 1.25935 | 0.629673 | − | 0.776861i | \(-0.283189\pi\) | ||||
0.629673 | + | 0.776861i | \(0.283189\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −25.3259 | −0.879606 | −0.439803 | − | 0.898094i | \(-0.644952\pi\) | ||||
−0.439803 | + | 0.898094i | \(0.644952\pi\) | |||||||
\(830\) | 17.8307 | 0.618912 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 16.9891 | 0.588990 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −31.2344 | −1.08091 | ||||||||
\(836\) | −6.54158 | −0.226245 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.154154 | 0.00532515 | ||||||||
\(839\) | −8.71419 | −0.300847 | −0.150424 | − | 0.988622i | \(-0.548064\pi\) | ||||
−0.150424 | + | 0.988622i | \(0.548064\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.2950 | 0.354999 | ||||||||
\(842\) | 21.7252 | 0.748701 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −7.14290 | −0.245869 | ||||||||
\(845\) | 2.21751 | 0.0762847 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0.0240434 | 0.000825654 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.31046 | −0.0449484 | ||||||||
\(851\) | 82.5886 | 2.83110 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 11.9813 | 0.410233 | 0.205117 | − | 0.978738i | \(-0.434243\pi\) | ||||
0.205117 | + | 0.978738i | \(0.434243\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 20.2267 | 0.691334 | ||||||||
\(857\) | −6.50030 | −0.222046 | −0.111023 | − | 0.993818i | \(-0.535413\pi\) | ||||
−0.111023 | + | 0.993818i | \(0.535413\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 53.5526 | 1.82719 | 0.913596 | − | 0.406623i | \(-0.133294\pi\) | ||||
0.913596 | + | 0.406623i | \(0.133294\pi\) | |||||||
\(860\) | −7.29086 | −0.248616 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 25.7828 | 0.878166 | ||||||||
\(863\) | 3.69965 | 0.125937 | 0.0629687 | − | 0.998016i | \(-0.479943\pi\) | ||||
0.0629687 | + | 0.998016i | \(0.479943\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.40230 | −0.217685 | ||||||||
\(866\) | 17.2847 | 0.587357 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −3.97266 | −0.134763 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.00917 | 0.0680782 | ||||||||
\(872\) | 1.14559 | 0.0387946 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −25.3773 | −0.858401 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −11.7888 | −0.398079 | −0.199040 | − | 0.979991i | \(-0.563782\pi\) | ||||
−0.199040 | + | 0.979991i | \(0.563782\pi\) | |||||||
\(878\) | −19.2849 | −0.650833 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.0932736 | 0.00314425 | ||||||||
\(881\) | −49.4858 | −1.66722 | −0.833609 | − | 0.552355i | \(-0.813729\pi\) | ||||
−0.833609 | + | 0.552355i | \(0.813729\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −21.5357 | −0.724734 | −0.362367 | − | 0.932035i | \(-0.618031\pi\) | ||||
−0.362367 | + | 0.932035i | \(0.618031\pi\) | |||||||
\(884\) | 1.93407 | 0.0650497 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 16.4534 | 0.552762 | ||||||||
\(887\) | −11.8848 | −0.399051 | −0.199526 | − | 0.979893i | \(-0.563940\pi\) | ||||
−0.199526 | + | 0.979893i | \(0.563940\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −10.7656 | −0.360863 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.68954 | 0.290947 | ||||||||
\(893\) | −30.1857 | −1.01013 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 11.4953 | 0.384244 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −5.87433 | −0.196029 | ||||||||
\(899\) | −57.8866 | −1.93063 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.268571 | 0.00894739 | ||||||||
\(902\) | 4.95811 | 0.165087 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 40.7736 | 1.35611 | ||||||||
\(905\) | −23.2199 | −0.771855 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −26.0215 | −0.864029 | −0.432014 | − | 0.901867i | \(-0.642197\pi\) | ||||
−0.432014 | + | 0.901867i | \(0.642197\pi\) | |||||||
\(908\) | −14.6509 | −0.486209 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −4.03272 | −0.133610 | −0.0668050 | − | 0.997766i | \(-0.521281\pi\) | ||||
−0.0668050 | + | 0.997766i | \(0.521281\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 24.8726 | 0.823162 | ||||||||
\(914\) | 17.0853 | 0.565132 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −21.5315 | −0.711420 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 27.4270 | 0.904732 | 0.452366 | − | 0.891832i | \(-0.350580\pi\) | ||||
0.452366 | + | 0.891832i | \(0.350580\pi\) | |||||||
\(920\) | −34.1908 | −1.12724 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.849356 | −0.0279720 | ||||||||
\(923\) | −1.86802 | −0.0614867 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −29.4097 | −0.966986 | ||||||||
\(926\) | 0.391874 | 0.0128778 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −35.3432 | −1.16020 | ||||||||
\(929\) | −7.67675 | −0.251866 | −0.125933 | − | 0.992039i | \(-0.540192\pi\) | ||||
−0.125933 | + | 0.992039i | \(0.540192\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −19.9385 | −0.653108 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −30.0880 | −0.984510 | ||||||||
\(935\) | 1.04189 | 0.0340734 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.02465 | 0.0661425 | 0.0330713 | − | 0.999453i | \(-0.489471\pi\) | ||||
0.0330713 | + | 0.999453i | \(0.489471\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −15.4611 | −0.504286 | ||||||||
\(941\) | 6.13928 | 0.200135 | 0.100067 | − | 0.994981i | \(-0.468094\pi\) | ||||
0.100067 | + | 0.994981i | \(0.468094\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −30.5107 | −0.993566 | ||||||||
\(944\) | −0.435518 | −0.0141749 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.41147 | 0.208455 | ||||||||
\(947\) | 5.56448 | 0.180821 | 0.0904107 | − | 0.995905i | \(-0.471182\pi\) | ||||
0.0904107 | + | 0.995905i | \(0.471182\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.90640 | −0.224191 | ||||||||
\(950\) | 9.03684 | 0.293194 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −8.72018 | −0.282474 | −0.141237 | − | 0.989976i | \(-0.545108\pi\) | ||||
−0.141237 | + | 0.989976i | \(0.545108\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −17.3928 | −0.562818 | ||||||||
\(956\) | 18.5220 | 0.599044 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −19.1644 | −0.619173 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 54.2746 | 1.75079 | ||||||||
\(962\) | −27.3631 | −0.882222 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −19.1830 | −0.617844 | ||||||||
\(965\) | 0.859785 | 0.0276775 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −57.7698 | −1.85775 | −0.928876 | − | 0.370391i | \(-0.879224\pi\) | ||||
−0.928876 | + | 0.370391i | \(0.879224\pi\) | |||||||
\(968\) | −23.4620 | −0.754098 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 2.24990 | 0.0722401 | ||||||||
\(971\) | 30.7192 | 0.985828 | 0.492914 | − | 0.870078i | \(-0.335932\pi\) | ||||
0.492914 | + | 0.870078i | \(0.335932\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −17.0537 | −0.546437 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.319955 | 0.0102415 | ||||||||
\(977\) | 10.3000 | 0.329527 | 0.164764 | − | 0.986333i | \(-0.447314\pi\) | ||||
0.164764 | + | 0.986333i | \(0.447314\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −15.0172 | −0.479953 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −23.0018 | −0.734015 | ||||||||
\(983\) | −13.6963 | −0.436846 | −0.218423 | − | 0.975854i | \(-0.570091\pi\) | ||||
−0.218423 | + | 0.975854i | \(0.570091\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −15.4206 | −0.491343 | ||||||||
\(986\) | 2.57935 | 0.0821434 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −13.3372 | −0.424313 | ||||||||
\(989\) | −39.4543 | −1.25457 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 57.9813 | 1.84184 | 0.920919 | − | 0.389754i | \(-0.127440\pi\) | ||||
0.920919 | + | 0.389754i | \(0.127440\pi\) | |||||||
\(992\) | 52.0651 | 1.65307 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −4.90167 | −0.155394 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −16.2175 | −0.513614 | −0.256807 | − | 0.966463i | \(-0.582670\pi\) | ||||
−0.256807 | + | 0.966463i | \(0.582670\pi\) | |||||||
\(998\) | 12.5763 | 0.398097 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))