Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(373,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.373");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.e (of order \(3\), degree \(2\), 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: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 655.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.655 |
Dual form | 882.2.e.c.373.1 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | − | 1.73205i | − | 1.00000i | ||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 1.50000 | − | 2.59808i | 0.670820 | − | 1.16190i | −0.306851 | − | 0.951757i | \(-0.599275\pi\) |
0.977672 | − | 0.210138i | \(-0.0673912\pi\) | |||||||
\(6\) | 1.73205i | 0.707107i | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −3.00000 | −1.00000 | ||||||||
\(10\) | −1.50000 | + | 2.59808i | −0.474342 | + | 0.821584i | ||||
\(11\) | 1.50000 | + | 2.59808i | 0.452267 | + | 0.783349i | 0.998526 | − | 0.0542666i | \(-0.0172821\pi\) |
−0.546259 | + | 0.837616i | \(0.683949\pi\) | |||||||
\(12\) | − | 1.73205i | − | 0.500000i | ||||||
\(13\) | −0.500000 | − | 0.866025i | −0.138675 | − | 0.240192i | 0.788320 | − | 0.615265i | \(-0.210951\pi\) |
−0.926995 | + | 0.375073i | \(0.877618\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.50000 | − | 2.59808i | −1.16190 | − | 0.670820i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 1.50000 | − | 2.59808i | 0.363803 | − | 0.630126i | −0.624780 | − | 0.780801i | \(-0.714811\pi\) |
0.988583 | + | 0.150675i | \(0.0481447\pi\) | |||||||
\(18\) | 3.00000 | 0.707107 | ||||||||
\(19\) | −3.50000 | − | 6.06218i | −0.802955 | − | 1.39076i | −0.917663 | − | 0.397360i | \(-0.869927\pi\) |
0.114708 | − | 0.993399i | \(-0.463407\pi\) | |||||||
\(20\) | 1.50000 | − | 2.59808i | 0.335410 | − | 0.580948i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.50000 | − | 2.59808i | −0.319801 | − | 0.553912i | ||||
\(23\) | 4.50000 | − | 7.79423i | 0.938315 | − | 1.62521i | 0.169701 | − | 0.985496i | \(-0.445720\pi\) |
0.768613 | − | 0.639713i | \(-0.220947\pi\) | |||||||
\(24\) | 1.73205i | 0.353553i | ||||||||
\(25\) | −2.00000 | − | 3.46410i | −0.400000 | − | 0.692820i | ||||
\(26\) | 0.500000 | + | 0.866025i | 0.0980581 | + | 0.169842i | ||||
\(27\) | 5.19615i | 1.00000i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.50000 | + | 2.59808i | −0.278543 | + | 0.482451i | −0.971023 | − | 0.238987i | \(-0.923185\pi\) |
0.692480 | + | 0.721437i | \(0.256518\pi\) | |||||||
\(30\) | 4.50000 | + | 2.59808i | 0.821584 | + | 0.474342i | ||||
\(31\) | −8.00000 | −1.43684 | −0.718421 | − | 0.695608i | \(-0.755135\pi\) | ||||
−0.718421 | + | 0.695608i | \(0.755135\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 4.50000 | − | 2.59808i | 0.783349 | − | 0.452267i | ||||
\(34\) | −1.50000 | + | 2.59808i | −0.257248 | + | 0.445566i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.00000 | −0.500000 | ||||||||
\(37\) | 0.500000 | + | 0.866025i | 0.0821995 | + | 0.142374i | 0.904194 | − | 0.427121i | \(-0.140472\pi\) |
−0.821995 | + | 0.569495i | \(0.807139\pi\) | |||||||
\(38\) | 3.50000 | + | 6.06218i | 0.567775 | + | 0.983415i | ||||
\(39\) | −1.50000 | + | 0.866025i | −0.240192 | + | 0.138675i | ||||
\(40\) | −1.50000 | + | 2.59808i | −0.237171 | + | 0.410792i | ||||
\(41\) | 1.50000 | + | 2.59808i | 0.234261 | + | 0.405751i | 0.959058 | − | 0.283211i | \(-0.0913998\pi\) |
−0.724797 | + | 0.688963i | \(0.758066\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.500000 | − | 0.866025i | 0.0762493 | − | 0.132068i | −0.825380 | − | 0.564578i | \(-0.809039\pi\) |
0.901629 | + | 0.432511i | \(0.142372\pi\) | |||||||
\(44\) | 1.50000 | + | 2.59808i | 0.226134 | + | 0.391675i | ||||
\(45\) | −4.50000 | + | 7.79423i | −0.670820 | + | 1.16190i | ||||
\(46\) | −4.50000 | + | 7.79423i | −0.663489 | + | 1.14920i | ||||
\(47\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(48\) | − | 1.73205i | − | 0.250000i | ||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2.00000 | + | 3.46410i | 0.282843 | + | 0.489898i | ||||
\(51\) | −4.50000 | − | 2.59808i | −0.630126 | − | 0.363803i | ||||
\(52\) | −0.500000 | − | 0.866025i | −0.0693375 | − | 0.120096i | ||||
\(53\) | −1.50000 | + | 2.59808i | −0.206041 | + | 0.356873i | −0.950464 | − | 0.310835i | \(-0.899391\pi\) |
0.744423 | + | 0.667708i | \(0.232725\pi\) | |||||||
\(54\) | − | 5.19615i | − | 0.707107i | ||||||
\(55\) | 9.00000 | 1.21356 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −10.5000 | + | 6.06218i | −1.39076 | + | 0.802955i | ||||
\(58\) | 1.50000 | − | 2.59808i | 0.196960 | − | 0.341144i | ||||
\(59\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(60\) | −4.50000 | − | 2.59808i | −0.580948 | − | 0.335410i | ||||
\(61\) | −2.00000 | −0.256074 | −0.128037 | − | 0.991769i | \(-0.540868\pi\) | ||||
−0.128037 | + | 0.991769i | \(0.540868\pi\) | |||||||
\(62\) | 8.00000 | 1.01600 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −3.00000 | −0.372104 | ||||||||
\(66\) | −4.50000 | + | 2.59808i | −0.553912 | + | 0.319801i | ||||
\(67\) | −4.00000 | −0.488678 | −0.244339 | − | 0.969690i | \(-0.578571\pi\) | ||||
−0.244339 | + | 0.969690i | \(0.578571\pi\) | |||||||
\(68\) | 1.50000 | − | 2.59808i | 0.181902 | − | 0.315063i | ||||
\(69\) | −13.5000 | − | 7.79423i | −1.62521 | − | 0.938315i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 12.0000 | 1.42414 | 0.712069 | − | 0.702109i | \(-0.247758\pi\) | ||||
0.712069 | + | 0.702109i | \(0.247758\pi\) | |||||||
\(72\) | 3.00000 | 0.353553 | ||||||||
\(73\) | 5.50000 | − | 9.52628i | 0.643726 | − | 1.11497i | −0.340868 | − | 0.940111i | \(-0.610721\pi\) |
0.984594 | − | 0.174855i | \(-0.0559458\pi\) | |||||||
\(74\) | −0.500000 | − | 0.866025i | −0.0581238 | − | 0.100673i | ||||
\(75\) | −6.00000 | + | 3.46410i | −0.692820 | + | 0.400000i | ||||
\(76\) | −3.50000 | − | 6.06218i | −0.401478 | − | 0.695379i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.50000 | − | 0.866025i | 0.169842 | − | 0.0980581i | ||||
\(79\) | −16.0000 | −1.80014 | −0.900070 | − | 0.435745i | \(-0.856485\pi\) | ||||
−0.900070 | + | 0.435745i | \(0.856485\pi\) | |||||||
\(80\) | 1.50000 | − | 2.59808i | 0.167705 | − | 0.290474i | ||||
\(81\) | 9.00000 | 1.00000 | ||||||||
\(82\) | −1.50000 | − | 2.59808i | −0.165647 | − | 0.286910i | ||||
\(83\) | −4.50000 | + | 7.79423i | −0.493939 | + | 0.855528i | −0.999976 | − | 0.00698436i | \(-0.997777\pi\) |
0.506036 | + | 0.862512i | \(0.331110\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.50000 | − | 7.79423i | −0.488094 | − | 0.845403i | ||||
\(86\) | −0.500000 | + | 0.866025i | −0.0539164 | + | 0.0933859i | ||||
\(87\) | 4.50000 | + | 2.59808i | 0.482451 | + | 0.278543i | ||||
\(88\) | −1.50000 | − | 2.59808i | −0.159901 | − | 0.276956i | ||||
\(89\) | 1.50000 | + | 2.59808i | 0.159000 | + | 0.275396i | 0.934508 | − | 0.355942i | \(-0.115840\pi\) |
−0.775509 | + | 0.631337i | \(0.782506\pi\) | |||||||
\(90\) | 4.50000 | − | 7.79423i | 0.474342 | − | 0.821584i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 4.50000 | − | 7.79423i | 0.469157 | − | 0.812605i | ||||
\(93\) | 13.8564i | 1.43684i | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −21.0000 | −2.15455 | ||||||||
\(96\) | 1.73205i | 0.176777i | ||||||||
\(97\) | −0.500000 | + | 0.866025i | −0.0507673 | + | 0.0879316i | −0.890292 | − | 0.455389i | \(-0.849500\pi\) |
0.839525 | + | 0.543321i | \(0.182833\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.50000 | − | 7.79423i | −0.452267 | − | 0.783349i | ||||
\(100\) | −2.00000 | − | 3.46410i | −0.200000 | − | 0.346410i | ||||
\(101\) | 1.50000 | + | 2.59808i | 0.149256 | + | 0.258518i | 0.930953 | − | 0.365140i | \(-0.118979\pi\) |
−0.781697 | + | 0.623658i | \(0.785646\pi\) | |||||||
\(102\) | 4.50000 | + | 2.59808i | 0.445566 | + | 0.257248i | ||||
\(103\) | −6.50000 | + | 11.2583i | −0.640464 | + | 1.10932i | 0.344865 | + | 0.938652i | \(0.387925\pi\) |
−0.985329 | + | 0.170664i | \(0.945409\pi\) | |||||||
\(104\) | 0.500000 | + | 0.866025i | 0.0490290 | + | 0.0849208i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.50000 | − | 2.59808i | 0.145693 | − | 0.252347i | ||||
\(107\) | −4.50000 | − | 7.79423i | −0.435031 | − | 0.753497i | 0.562267 | − | 0.826956i | \(-0.309929\pi\) |
−0.997298 | + | 0.0734594i | \(0.976596\pi\) | |||||||
\(108\) | 5.19615i | 0.500000i | ||||||||
\(109\) | 6.50000 | − | 11.2583i | 0.622587 | − | 1.07835i | −0.366415 | − | 0.930451i | \(-0.619415\pi\) |
0.989002 | − | 0.147901i | \(-0.0472517\pi\) | |||||||
\(110\) | −9.00000 | −0.858116 | ||||||||
\(111\) | 1.50000 | − | 0.866025i | 0.142374 | − | 0.0821995i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.50000 | + | 7.79423i | 0.423324 | + | 0.733219i | 0.996262 | − | 0.0863794i | \(-0.0275297\pi\) |
−0.572938 | + | 0.819599i | \(0.694196\pi\) | |||||||
\(114\) | 10.5000 | − | 6.06218i | 0.983415 | − | 0.567775i | ||||
\(115\) | −13.5000 | − | 23.3827i | −1.25888 | − | 2.18045i | ||||
\(116\) | −1.50000 | + | 2.59808i | −0.139272 | + | 0.241225i | ||||
\(117\) | 1.50000 | + | 2.59808i | 0.138675 | + | 0.240192i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 4.50000 | + | 2.59808i | 0.410792 | + | 0.237171i | ||||
\(121\) | 1.00000 | − | 1.73205i | 0.0909091 | − | 0.157459i | ||||
\(122\) | 2.00000 | 0.181071 | ||||||||
\(123\) | 4.50000 | − | 2.59808i | 0.405751 | − | 0.234261i | ||||
\(124\) | −8.00000 | −0.718421 | ||||||||
\(125\) | 3.00000 | 0.268328 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.00000 | −0.354943 | −0.177471 | − | 0.984126i | \(-0.556792\pi\) | ||||
−0.177471 | + | 0.984126i | \(0.556792\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −1.50000 | − | 0.866025i | −0.132068 | − | 0.0762493i | ||||
\(130\) | 3.00000 | 0.263117 | ||||||||
\(131\) | 7.50000 | − | 12.9904i | 0.655278 | − | 1.13497i | −0.326546 | − | 0.945181i | \(-0.605885\pi\) |
0.981824 | − | 0.189794i | \(-0.0607819\pi\) | |||||||
\(132\) | 4.50000 | − | 2.59808i | 0.391675 | − | 0.226134i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 4.00000 | 0.345547 | ||||||||
\(135\) | 13.5000 | + | 7.79423i | 1.16190 | + | 0.670820i | ||||
\(136\) | −1.50000 | + | 2.59808i | −0.128624 | + | 0.222783i | ||||
\(137\) | 4.50000 | + | 7.79423i | 0.384461 | + | 0.665906i | 0.991694 | − | 0.128618i | \(-0.0410540\pi\) |
−0.607233 | + | 0.794524i | \(0.707721\pi\) | |||||||
\(138\) | 13.5000 | + | 7.79423i | 1.14920 | + | 0.663489i | ||||
\(139\) | −3.50000 | − | 6.06218i | −0.296866 | − | 0.514187i | 0.678551 | − | 0.734553i | \(-0.262608\pi\) |
−0.975417 | + | 0.220366i | \(0.929275\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −12.0000 | −1.00702 | ||||||||
\(143\) | 1.50000 | − | 2.59808i | 0.125436 | − | 0.217262i | ||||
\(144\) | −3.00000 | −0.250000 | ||||||||
\(145\) | 4.50000 | + | 7.79423i | 0.373705 | + | 0.647275i | ||||
\(146\) | −5.50000 | + | 9.52628i | −0.455183 | + | 0.788400i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.500000 | + | 0.866025i | 0.0410997 | + | 0.0711868i | ||||
\(149\) | 4.50000 | − | 7.79423i | 0.368654 | − | 0.638528i | −0.620701 | − | 0.784047i | \(-0.713152\pi\) |
0.989355 | + | 0.145519i | \(0.0464853\pi\) | |||||||
\(150\) | 6.00000 | − | 3.46410i | 0.489898 | − | 0.282843i | ||||
\(151\) | 3.50000 | + | 6.06218i | 0.284826 | + | 0.493333i | 0.972567 | − | 0.232623i | \(-0.0747309\pi\) |
−0.687741 | + | 0.725956i | \(0.741398\pi\) | |||||||
\(152\) | 3.50000 | + | 6.06218i | 0.283887 | + | 0.491708i | ||||
\(153\) | −4.50000 | + | 7.79423i | −0.363803 | + | 0.630126i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −12.0000 | + | 20.7846i | −0.963863 | + | 1.66946i | ||||
\(156\) | −1.50000 | + | 0.866025i | −0.120096 | + | 0.0693375i | ||||
\(157\) | 22.0000 | 1.75579 | 0.877896 | − | 0.478852i | \(-0.158947\pi\) | ||||
0.877896 | + | 0.478852i | \(0.158947\pi\) | |||||||
\(158\) | 16.0000 | 1.27289 | ||||||||
\(159\) | 4.50000 | + | 2.59808i | 0.356873 | + | 0.206041i | ||||
\(160\) | −1.50000 | + | 2.59808i | −0.118585 | + | 0.205396i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −9.00000 | −0.707107 | ||||||||
\(163\) | 9.50000 | + | 16.4545i | 0.744097 | + | 1.28881i | 0.950615 | + | 0.310372i | \(0.100454\pi\) |
−0.206518 | + | 0.978443i | \(0.566213\pi\) | |||||||
\(164\) | 1.50000 | + | 2.59808i | 0.117130 | + | 0.202876i | ||||
\(165\) | − | 15.5885i | − | 1.21356i | ||||||
\(166\) | 4.50000 | − | 7.79423i | 0.349268 | − | 0.604949i | ||||
\(167\) | −7.50000 | − | 12.9904i | −0.580367 | − | 1.00523i | −0.995436 | − | 0.0954356i | \(-0.969576\pi\) |
0.415068 | − | 0.909790i | \(-0.363758\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.00000 | − | 10.3923i | 0.461538 | − | 0.799408i | ||||
\(170\) | 4.50000 | + | 7.79423i | 0.345134 | + | 0.597790i | ||||
\(171\) | 10.5000 | + | 18.1865i | 0.802955 | + | 1.39076i | ||||
\(172\) | 0.500000 | − | 0.866025i | 0.0381246 | − | 0.0660338i | ||||
\(173\) | 6.00000 | 0.456172 | 0.228086 | − | 0.973641i | \(-0.426753\pi\) | ||||
0.228086 | + | 0.973641i | \(0.426753\pi\) | |||||||
\(174\) | −4.50000 | − | 2.59808i | −0.341144 | − | 0.196960i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.50000 | + | 2.59808i | 0.113067 | + | 0.195837i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.50000 | − | 2.59808i | −0.112430 | − | 0.194734i | ||||
\(179\) | 10.5000 | − | 18.1865i | 0.784807 | − | 1.35933i | −0.144308 | − | 0.989533i | \(-0.546095\pi\) |
0.929114 | − | 0.369792i | \(-0.120571\pi\) | |||||||
\(180\) | −4.50000 | + | 7.79423i | −0.335410 | + | 0.580948i | ||||
\(181\) | −2.00000 | −0.148659 | −0.0743294 | − | 0.997234i | \(-0.523682\pi\) | ||||
−0.0743294 | + | 0.997234i | \(0.523682\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.46410i | 0.256074i | ||||||||
\(184\) | −4.50000 | + | 7.79423i | −0.331744 | + | 0.574598i | ||||
\(185\) | 3.00000 | 0.220564 | ||||||||
\(186\) | − | 13.8564i | − | 1.01600i | ||||||
\(187\) | 9.00000 | 0.658145 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 21.0000 | 1.52350 | ||||||||
\(191\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(192\) | − | 1.73205i | − | 0.125000i | ||||||
\(193\) | 14.0000 | 1.00774 | 0.503871 | − | 0.863779i | \(-0.331909\pi\) | ||||
0.503871 | + | 0.863779i | \(0.331909\pi\) | |||||||
\(194\) | 0.500000 | − | 0.866025i | 0.0358979 | − | 0.0621770i | ||||
\(195\) | 5.19615i | 0.372104i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 18.0000 | 1.28245 | 0.641223 | − | 0.767354i | \(-0.278427\pi\) | ||||
0.641223 | + | 0.767354i | \(0.278427\pi\) | |||||||
\(198\) | 4.50000 | + | 7.79423i | 0.319801 | + | 0.553912i | ||||
\(199\) | −12.5000 | + | 21.6506i | −0.886102 | + | 1.53477i | −0.0416556 | + | 0.999132i | \(0.513263\pi\) |
−0.844446 | + | 0.535641i | \(0.820070\pi\) | |||||||
\(200\) | 2.00000 | + | 3.46410i | 0.141421 | + | 0.244949i | ||||
\(201\) | 6.92820i | 0.488678i | ||||||||
\(202\) | −1.50000 | − | 2.59808i | −0.105540 | − | 0.182800i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −4.50000 | − | 2.59808i | −0.315063 | − | 0.181902i | ||||
\(205\) | 9.00000 | 0.628587 | ||||||||
\(206\) | 6.50000 | − | 11.2583i | 0.452876 | − | 0.784405i | ||||
\(207\) | −13.5000 | + | 23.3827i | −0.938315 | + | 1.62521i | ||||
\(208\) | −0.500000 | − | 0.866025i | −0.0346688 | − | 0.0600481i | ||||
\(209\) | 10.5000 | − | 18.1865i | 0.726300 | − | 1.25799i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.50000 | − | 4.33013i | −0.172107 | − | 0.298098i | 0.767049 | − | 0.641588i | \(-0.221724\pi\) |
−0.939156 | + | 0.343490i | \(0.888391\pi\) | |||||||
\(212\) | −1.50000 | + | 2.59808i | −0.103020 | + | 0.178437i | ||||
\(213\) | − | 20.7846i | − | 1.42414i | ||||||
\(214\) | 4.50000 | + | 7.79423i | 0.307614 | + | 0.532803i | ||||
\(215\) | −1.50000 | − | 2.59808i | −0.102299 | − | 0.177187i | ||||
\(216\) | − | 5.19615i | − | 0.353553i | ||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −6.50000 | + | 11.2583i | −0.440236 | + | 0.762510i | ||||
\(219\) | −16.5000 | − | 9.52628i | −1.11497 | − | 0.643726i | ||||
\(220\) | 9.00000 | 0.606780 | ||||||||
\(221\) | −3.00000 | −0.201802 | ||||||||
\(222\) | −1.50000 | + | 0.866025i | −0.100673 | + | 0.0581238i | ||||
\(223\) | −0.500000 | + | 0.866025i | −0.0334825 | + | 0.0579934i | −0.882281 | − | 0.470723i | \(-0.843993\pi\) |
0.848799 | + | 0.528716i | \(0.177326\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 6.00000 | + | 10.3923i | 0.400000 | + | 0.692820i | ||||
\(226\) | −4.50000 | − | 7.79423i | −0.299336 | − | 0.518464i | ||||
\(227\) | −1.50000 | − | 2.59808i | −0.0995585 | − | 0.172440i | 0.811943 | − | 0.583736i | \(-0.198410\pi\) |
−0.911502 | + | 0.411296i | \(0.865076\pi\) | |||||||
\(228\) | −10.5000 | + | 6.06218i | −0.695379 | + | 0.401478i | ||||
\(229\) | −6.50000 | + | 11.2583i | −0.429532 | + | 0.743971i | −0.996832 | − | 0.0795401i | \(-0.974655\pi\) |
0.567300 | + | 0.823511i | \(0.307988\pi\) | |||||||
\(230\) | 13.5000 | + | 23.3827i | 0.890164 | + | 1.54181i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.50000 | − | 2.59808i | 0.0984798 | − | 0.170572i | ||||
\(233\) | −1.50000 | − | 2.59808i | −0.0982683 | − | 0.170206i | 0.812700 | − | 0.582683i | \(-0.197997\pi\) |
−0.910968 | + | 0.412477i | \(0.864664\pi\) | |||||||
\(234\) | −1.50000 | − | 2.59808i | −0.0980581 | − | 0.169842i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 27.7128i | 1.80014i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.50000 | + | 2.59808i | 0.0970269 | + | 0.168056i | 0.910453 | − | 0.413613i | \(-0.135733\pi\) |
−0.813426 | + | 0.581669i | \(0.802400\pi\) | |||||||
\(240\) | −4.50000 | − | 2.59808i | −0.290474 | − | 0.167705i | ||||
\(241\) | −6.50000 | − | 11.2583i | −0.418702 | − | 0.725213i | 0.577107 | − | 0.816668i | \(-0.304181\pi\) |
−0.995809 | + | 0.0914555i | \(0.970848\pi\) | |||||||
\(242\) | −1.00000 | + | 1.73205i | −0.0642824 | + | 0.111340i | ||||
\(243\) | − | 15.5885i | − | 1.00000i | ||||||
\(244\) | −2.00000 | −0.128037 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −4.50000 | + | 2.59808i | −0.286910 | + | 0.165647i | ||||
\(247\) | −3.50000 | + | 6.06218i | −0.222700 | + | 0.385727i | ||||
\(248\) | 8.00000 | 0.508001 | ||||||||
\(249\) | 13.5000 | + | 7.79423i | 0.855528 | + | 0.493939i | ||||
\(250\) | −3.00000 | −0.189737 | ||||||||
\(251\) | −12.0000 | −0.757433 | −0.378717 | − | 0.925513i | \(-0.623635\pi\) | ||||
−0.378717 | + | 0.925513i | \(0.623635\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 27.0000 | 1.69748 | ||||||||
\(254\) | 4.00000 | 0.250982 | ||||||||
\(255\) | −13.5000 | + | 7.79423i | −0.845403 | + | 0.488094i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −10.5000 | + | 18.1865i | −0.654972 | + | 1.13444i | 0.326929 | + | 0.945049i | \(0.393986\pi\) |
−0.981901 | + | 0.189396i | \(0.939347\pi\) | |||||||
\(258\) | 1.50000 | + | 0.866025i | 0.0933859 | + | 0.0539164i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −3.00000 | −0.186052 | ||||||||
\(261\) | 4.50000 | − | 7.79423i | 0.278543 | − | 0.482451i | ||||
\(262\) | −7.50000 | + | 12.9904i | −0.463352 | + | 0.802548i | ||||
\(263\) | −4.50000 | − | 7.79423i | −0.277482 | − | 0.480613i | 0.693276 | − | 0.720672i | \(-0.256167\pi\) |
−0.970758 | + | 0.240059i | \(0.922833\pi\) | |||||||
\(264\) | −4.50000 | + | 2.59808i | −0.276956 | + | 0.159901i | ||||
\(265\) | 4.50000 | + | 7.79423i | 0.276433 | + | 0.478796i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 4.50000 | − | 2.59808i | 0.275396 | − | 0.159000i | ||||
\(268\) | −4.00000 | −0.244339 | ||||||||
\(269\) | 7.50000 | − | 12.9904i | 0.457283 | − | 0.792038i | −0.541533 | − | 0.840679i | \(-0.682156\pi\) |
0.998816 | + | 0.0486418i | \(0.0154893\pi\) | |||||||
\(270\) | −13.5000 | − | 7.79423i | −0.821584 | − | 0.474342i | ||||
\(271\) | 2.50000 | + | 4.33013i | 0.151864 | + | 0.263036i | 0.931913 | − | 0.362682i | \(-0.118139\pi\) |
−0.780049 | + | 0.625719i | \(0.784806\pi\) | |||||||
\(272\) | 1.50000 | − | 2.59808i | 0.0909509 | − | 0.157532i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.50000 | − | 7.79423i | −0.271855 | − | 0.470867i | ||||
\(275\) | 6.00000 | − | 10.3923i | 0.361814 | − | 0.626680i | ||||
\(276\) | −13.5000 | − | 7.79423i | −0.812605 | − | 0.469157i | ||||
\(277\) | 0.500000 | + | 0.866025i | 0.0300421 | + | 0.0520344i | 0.880656 | − | 0.473757i | \(-0.157103\pi\) |
−0.850613 | + | 0.525792i | \(0.823769\pi\) | |||||||
\(278\) | 3.50000 | + | 6.06218i | 0.209916 | + | 0.363585i | ||||
\(279\) | 24.0000 | 1.43684 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.5000 | − | 18.1865i | 0.626377 | − | 1.08492i | −0.361895 | − | 0.932219i | \(-0.617870\pi\) |
0.988273 | − | 0.152699i | \(-0.0487965\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.00000 | 0.237775 | 0.118888 | − | 0.992908i | \(-0.462067\pi\) | ||||
0.118888 | + | 0.992908i | \(0.462067\pi\) | |||||||
\(284\) | 12.0000 | 0.712069 | ||||||||
\(285\) | 36.3731i | 2.15455i | ||||||||
\(286\) | −1.50000 | + | 2.59808i | −0.0886969 | + | 0.153627i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 3.00000 | 0.176777 | ||||||||
\(289\) | 4.00000 | + | 6.92820i | 0.235294 | + | 0.407541i | ||||
\(290\) | −4.50000 | − | 7.79423i | −0.264249 | − | 0.457693i | ||||
\(291\) | 1.50000 | + | 0.866025i | 0.0879316 | + | 0.0507673i | ||||
\(292\) | 5.50000 | − | 9.52628i | 0.321863 | − | 0.557483i | ||||
\(293\) | −4.50000 | − | 7.79423i | −0.262893 | − | 0.455344i | 0.704117 | − | 0.710084i | \(-0.251343\pi\) |
−0.967009 | + | 0.254741i | \(0.918010\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −0.500000 | − | 0.866025i | −0.0290619 | − | 0.0503367i | ||||
\(297\) | −13.5000 | + | 7.79423i | −0.783349 | + | 0.452267i | ||||
\(298\) | −4.50000 | + | 7.79423i | −0.260678 | + | 0.451508i | ||||
\(299\) | −9.00000 | −0.520483 | ||||||||
\(300\) | −6.00000 | + | 3.46410i | −0.346410 | + | 0.200000i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −3.50000 | − | 6.06218i | −0.201402 | − | 0.348839i | ||||
\(303\) | 4.50000 | − | 2.59808i | 0.258518 | − | 0.149256i | ||||
\(304\) | −3.50000 | − | 6.06218i | −0.200739 | − | 0.347690i | ||||
\(305\) | −3.00000 | + | 5.19615i | −0.171780 | + | 0.297531i | ||||
\(306\) | 4.50000 | − | 7.79423i | 0.257248 | − | 0.445566i | ||||
\(307\) | 28.0000 | 1.59804 | 0.799022 | − | 0.601302i | \(-0.205351\pi\) | ||||
0.799022 | + | 0.601302i | \(0.205351\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 19.5000 | + | 11.2583i | 1.10932 | + | 0.640464i | ||||
\(310\) | 12.0000 | − | 20.7846i | 0.681554 | − | 1.18049i | ||||
\(311\) | 24.0000 | 1.36092 | 0.680458 | − | 0.732787i | \(-0.261781\pi\) | ||||
0.680458 | + | 0.732787i | \(0.261781\pi\) | |||||||
\(312\) | 1.50000 | − | 0.866025i | 0.0849208 | − | 0.0490290i | ||||
\(313\) | 10.0000 | 0.565233 | 0.282617 | − | 0.959233i | \(-0.408798\pi\) | ||||
0.282617 | + | 0.959233i | \(0.408798\pi\) | |||||||
\(314\) | −22.0000 | −1.24153 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −16.0000 | −0.900070 | ||||||||
\(317\) | 18.0000 | 1.01098 | 0.505490 | − | 0.862832i | \(-0.331312\pi\) | ||||
0.505490 | + | 0.862832i | \(0.331312\pi\) | |||||||
\(318\) | −4.50000 | − | 2.59808i | −0.252347 | − | 0.145693i | ||||
\(319\) | −9.00000 | −0.503903 | ||||||||
\(320\) | 1.50000 | − | 2.59808i | 0.0838525 | − | 0.145237i | ||||
\(321\) | −13.5000 | + | 7.79423i | −0.753497 | + | 0.435031i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −21.0000 | −1.16847 | ||||||||
\(324\) | 9.00000 | 0.500000 | ||||||||
\(325\) | −2.00000 | + | 3.46410i | −0.110940 | + | 0.192154i | ||||
\(326\) | −9.50000 | − | 16.4545i | −0.526156 | − | 0.911330i | ||||
\(327\) | −19.5000 | − | 11.2583i | −1.07835 | − | 0.622587i | ||||
\(328\) | −1.50000 | − | 2.59808i | −0.0828236 | − | 0.143455i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 15.5885i | 0.858116i | ||||||||
\(331\) | 8.00000 | 0.439720 | 0.219860 | − | 0.975531i | \(-0.429440\pi\) | ||||
0.219860 | + | 0.975531i | \(0.429440\pi\) | |||||||
\(332\) | −4.50000 | + | 7.79423i | −0.246970 | + | 0.427764i | ||||
\(333\) | −1.50000 | − | 2.59808i | −0.0821995 | − | 0.142374i | ||||
\(334\) | 7.50000 | + | 12.9904i | 0.410382 | + | 0.710802i | ||||
\(335\) | −6.00000 | + | 10.3923i | −0.327815 | + | 0.567792i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.50000 | + | 11.2583i | 0.354078 | + | 0.613280i | 0.986960 | − | 0.160968i | \(-0.0514616\pi\) |
−0.632882 | + | 0.774248i | \(0.718128\pi\) | |||||||
\(338\) | −6.00000 | + | 10.3923i | −0.326357 | + | 0.565267i | ||||
\(339\) | 13.5000 | − | 7.79423i | 0.733219 | − | 0.423324i | ||||
\(340\) | −4.50000 | − | 7.79423i | −0.244047 | − | 0.422701i | ||||
\(341\) | −12.0000 | − | 20.7846i | −0.649836 | − | 1.12555i | ||||
\(342\) | −10.5000 | − | 18.1865i | −0.567775 | − | 0.983415i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.500000 | + | 0.866025i | −0.0269582 | + | 0.0466930i | ||||
\(345\) | −40.5000 | + | 23.3827i | −2.18045 | + | 1.25888i | ||||
\(346\) | −6.00000 | −0.322562 | ||||||||
\(347\) | 12.0000 | 0.644194 | 0.322097 | − | 0.946707i | \(-0.395612\pi\) | ||||
0.322097 | + | 0.946707i | \(0.395612\pi\) | |||||||
\(348\) | 4.50000 | + | 2.59808i | 0.241225 | + | 0.139272i | ||||
\(349\) | 11.5000 | − | 19.9186i | 0.615581 | − | 1.06622i | −0.374701 | − | 0.927146i | \(-0.622255\pi\) |
0.990282 | − | 0.139072i | \(-0.0444119\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.50000 | − | 2.59808i | 0.240192 | − | 0.138675i | ||||
\(352\) | −1.50000 | − | 2.59808i | −0.0799503 | − | 0.138478i | ||||
\(353\) | 1.50000 | + | 2.59808i | 0.0798369 | + | 0.138282i | 0.903179 | − | 0.429263i | \(-0.141227\pi\) |
−0.823343 | + | 0.567545i | \(0.807893\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 18.0000 | − | 31.1769i | 0.955341 | − | 1.65470i | ||||
\(356\) | 1.50000 | + | 2.59808i | 0.0794998 | + | 0.137698i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.5000 | + | 18.1865i | −0.554942 | + | 0.961188i | ||||
\(359\) | −4.50000 | − | 7.79423i | −0.237501 | − | 0.411364i | 0.722496 | − | 0.691375i | \(-0.242995\pi\) |
−0.959997 | + | 0.280012i | \(0.909662\pi\) | |||||||
\(360\) | 4.50000 | − | 7.79423i | 0.237171 | − | 0.410792i | ||||
\(361\) | −15.0000 | + | 25.9808i | −0.789474 | + | 1.36741i | ||||
\(362\) | 2.00000 | 0.105118 | ||||||||
\(363\) | −3.00000 | − | 1.73205i | −0.157459 | − | 0.0909091i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −16.5000 | − | 28.5788i | −0.863649 | − | 1.49588i | ||||
\(366\) | − | 3.46410i | − | 0.181071i | ||||||
\(367\) | 8.50000 | + | 14.7224i | 0.443696 | + | 0.768505i | 0.997960 | − | 0.0638362i | \(-0.0203335\pi\) |
−0.554264 | + | 0.832341i | \(0.687000\pi\) | |||||||
\(368\) | 4.50000 | − | 7.79423i | 0.234579 | − | 0.406302i | ||||
\(369\) | −4.50000 | − | 7.79423i | −0.234261 | − | 0.405751i | ||||
\(370\) | −3.00000 | −0.155963 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 13.8564i | 0.718421i | ||||||||
\(373\) | 6.50000 | − | 11.2583i | 0.336557 | − | 0.582934i | −0.647225 | − | 0.762299i | \(-0.724071\pi\) |
0.983783 | + | 0.179364i | \(0.0574041\pi\) | |||||||
\(374\) | −9.00000 | −0.465379 | ||||||||
\(375\) | − | 5.19615i | − | 0.268328i | ||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 3.00000 | 0.154508 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −28.0000 | −1.43826 | −0.719132 | − | 0.694874i | \(-0.755460\pi\) | ||||
−0.719132 | + | 0.694874i | \(0.755460\pi\) | |||||||
\(380\) | −21.0000 | −1.07728 | ||||||||
\(381\) | 6.92820i | 0.354943i | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 7.50000 | − | 12.9904i | 0.383232 | − | 0.663777i | −0.608290 | − | 0.793715i | \(-0.708144\pi\) |
0.991522 | + | 0.129937i | \(0.0414776\pi\) | |||||||
\(384\) | 1.73205i | 0.0883883i | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −14.0000 | −0.712581 | ||||||||
\(387\) | −1.50000 | + | 2.59808i | −0.0762493 | + | 0.132068i | ||||
\(388\) | −0.500000 | + | 0.866025i | −0.0253837 | + | 0.0439658i | ||||
\(389\) | −13.5000 | − | 23.3827i | −0.684477 | − | 1.18555i | −0.973601 | − | 0.228257i | \(-0.926697\pi\) |
0.289124 | − | 0.957292i | \(-0.406636\pi\) | |||||||
\(390\) | − | 5.19615i | − | 0.263117i | ||||||
\(391\) | −13.5000 | − | 23.3827i | −0.682724 | − | 1.18251i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −22.5000 | − | 12.9904i | −1.13497 | − | 0.655278i | ||||
\(394\) | −18.0000 | −0.906827 | ||||||||
\(395\) | −24.0000 | + | 41.5692i | −1.20757 | + | 2.09157i | ||||
\(396\) | −4.50000 | − | 7.79423i | −0.226134 | − | 0.391675i | ||||
\(397\) | −6.50000 | − | 11.2583i | −0.326226 | − | 0.565039i | 0.655534 | − | 0.755166i | \(-0.272444\pi\) |
−0.981760 | + | 0.190126i | \(0.939110\pi\) | |||||||
\(398\) | 12.5000 | − | 21.6506i | 0.626568 | − | 1.08525i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.00000 | − | 3.46410i | −0.100000 | − | 0.173205i | ||||
\(401\) | −13.5000 | + | 23.3827i | −0.674158 | + | 1.16768i | 0.302556 | + | 0.953131i | \(0.402160\pi\) |
−0.976714 | + | 0.214544i | \(0.931173\pi\) | |||||||
\(402\) | − | 6.92820i | − | 0.345547i | ||||||
\(403\) | 4.00000 | + | 6.92820i | 0.199254 | + | 0.345118i | ||||
\(404\) | 1.50000 | + | 2.59808i | 0.0746278 | + | 0.129259i | ||||
\(405\) | 13.5000 | − | 23.3827i | 0.670820 | − | 1.16190i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.50000 | + | 2.59808i | −0.0743522 | + | 0.128782i | ||||
\(408\) | 4.50000 | + | 2.59808i | 0.222783 | + | 0.128624i | ||||
\(409\) | 34.0000 | 1.68119 | 0.840596 | − | 0.541663i | \(-0.182205\pi\) | ||||
0.840596 | + | 0.541663i | \(0.182205\pi\) | |||||||
\(410\) | −9.00000 | −0.444478 | ||||||||
\(411\) | 13.5000 | − | 7.79423i | 0.665906 | − | 0.384461i | ||||
\(412\) | −6.50000 | + | 11.2583i | −0.320232 | + | 0.554658i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 13.5000 | − | 23.3827i | 0.663489 | − | 1.14920i | ||||
\(415\) | 13.5000 | + | 23.3827i | 0.662689 | + | 1.14781i | ||||
\(416\) | 0.500000 | + | 0.866025i | 0.0245145 | + | 0.0424604i | ||||
\(417\) | −10.5000 | + | 6.06218i | −0.514187 | + | 0.296866i | ||||
\(418\) | −10.5000 | + | 18.1865i | −0.513572 | + | 0.889532i | ||||
\(419\) | 4.50000 | + | 7.79423i | 0.219839 | + | 0.380773i | 0.954759 | − | 0.297382i | \(-0.0961133\pi\) |
−0.734919 | + | 0.678155i | \(0.762780\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −17.5000 | + | 30.3109i | −0.852898 | + | 1.47726i | 0.0256838 | + | 0.999670i | \(0.491824\pi\) |
−0.878582 | + | 0.477592i | \(0.841510\pi\) | |||||||
\(422\) | 2.50000 | + | 4.33013i | 0.121698 | + | 0.210787i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.50000 | − | 2.59808i | 0.0728464 | − | 0.126174i | ||||
\(425\) | −12.0000 | −0.582086 | ||||||||
\(426\) | 20.7846i | 1.00702i | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −4.50000 | − | 7.79423i | −0.217516 | − | 0.376748i | ||||
\(429\) | −4.50000 | − | 2.59808i | −0.217262 | − | 0.125436i | ||||
\(430\) | 1.50000 | + | 2.59808i | 0.0723364 | + | 0.125290i | ||||
\(431\) | −13.5000 | + | 23.3827i | −0.650272 | + | 1.12630i | 0.332785 | + | 0.943003i | \(0.392012\pi\) |
−0.983057 | + | 0.183301i | \(0.941322\pi\) | |||||||
\(432\) | 5.19615i | 0.250000i | ||||||||
\(433\) | −2.00000 | −0.0961139 | −0.0480569 | − | 0.998845i | \(-0.515303\pi\) | ||||
−0.0480569 | + | 0.998845i | \(0.515303\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 13.5000 | − | 7.79423i | 0.647275 | − | 0.373705i | ||||
\(436\) | 6.50000 | − | 11.2583i | 0.311294 | − | 0.539176i | ||||
\(437\) | −63.0000 | −3.01370 | ||||||||
\(438\) | 16.5000 | + | 9.52628i | 0.788400 | + | 0.455183i | ||||
\(439\) | −8.00000 | −0.381819 | −0.190910 | − | 0.981608i | \(-0.561144\pi\) | ||||
−0.190910 | + | 0.981608i | \(0.561144\pi\) | |||||||
\(440\) | −9.00000 | −0.429058 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.00000 | 0.142695 | ||||||||
\(443\) | 36.0000 | 1.71041 | 0.855206 | − | 0.518289i | \(-0.173431\pi\) | ||||
0.855206 | + | 0.518289i | \(0.173431\pi\) | |||||||
\(444\) | 1.50000 | − | 0.866025i | 0.0711868 | − | 0.0410997i | ||||
\(445\) | 9.00000 | 0.426641 | ||||||||
\(446\) | 0.500000 | − | 0.866025i | 0.0236757 | − | 0.0410075i | ||||
\(447\) | −13.5000 | − | 7.79423i | −0.638528 | − | 0.368654i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.00000 | 0.283158 | 0.141579 | − | 0.989927i | \(-0.454782\pi\) | ||||
0.141579 | + | 0.989927i | \(0.454782\pi\) | |||||||
\(450\) | −6.00000 | − | 10.3923i | −0.282843 | − | 0.489898i | ||||
\(451\) | −4.50000 | + | 7.79423i | −0.211897 | + | 0.367016i | ||||
\(452\) | 4.50000 | + | 7.79423i | 0.211662 | + | 0.366610i | ||||
\(453\) | 10.5000 | − | 6.06218i | 0.493333 | − | 0.284826i | ||||
\(454\) | 1.50000 | + | 2.59808i | 0.0703985 | + | 0.121934i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 10.5000 | − | 6.06218i | 0.491708 | − | 0.283887i | ||||
\(457\) | −10.0000 | −0.467780 | −0.233890 | − | 0.972263i | \(-0.575146\pi\) | ||||
−0.233890 | + | 0.972263i | \(0.575146\pi\) | |||||||
\(458\) | 6.50000 | − | 11.2583i | 0.303725 | − | 0.526067i | ||||
\(459\) | 13.5000 | + | 7.79423i | 0.630126 | + | 0.363803i | ||||
\(460\) | −13.5000 | − | 23.3827i | −0.629441 | − | 1.09022i | ||||
\(461\) | −4.50000 | + | 7.79423i | −0.209586 | + | 0.363013i | −0.951584 | − | 0.307388i | \(-0.900545\pi\) |
0.741998 | + | 0.670402i | \(0.233878\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −20.5000 | − | 35.5070i | −0.952716 | − | 1.65015i | −0.739511 | − | 0.673145i | \(-0.764943\pi\) |
−0.213205 | − | 0.977007i | \(-0.568390\pi\) | |||||||
\(464\) | −1.50000 | + | 2.59808i | −0.0696358 | + | 0.120613i | ||||
\(465\) | 36.0000 | + | 20.7846i | 1.66946 | + | 0.963863i | ||||
\(466\) | 1.50000 | + | 2.59808i | 0.0694862 | + | 0.120354i | ||||
\(467\) | −1.50000 | − | 2.59808i | −0.0694117 | − | 0.120225i | 0.829231 | − | 0.558906i | \(-0.188779\pi\) |
−0.898642 | + | 0.438682i | \(0.855446\pi\) | |||||||
\(468\) | 1.50000 | + | 2.59808i | 0.0693375 | + | 0.120096i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | − | 38.1051i | − | 1.75579i | ||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.00000 | 0.137940 | ||||||||
\(474\) | − | 27.7128i | − | 1.27289i | ||||||
\(475\) | −14.0000 | + | 24.2487i | −0.642364 | + | 1.11261i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.50000 | − | 7.79423i | 0.206041 | − | 0.356873i | ||||
\(478\) | −1.50000 | − | 2.59808i | −0.0686084 | − | 0.118833i | ||||
\(479\) | −1.50000 | − | 2.59808i | −0.0685367 | − | 0.118709i | 0.829721 | − | 0.558179i | \(-0.188500\pi\) |
−0.898257 | + | 0.439470i | \(0.855166\pi\) | |||||||
\(480\) | 4.50000 | + | 2.59808i | 0.205396 | + | 0.118585i | ||||
\(481\) | 0.500000 | − | 0.866025i | 0.0227980 | − | 0.0394874i | ||||
\(482\) | 6.50000 | + | 11.2583i | 0.296067 | + | 0.512803i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.00000 | − | 1.73205i | 0.0454545 | − | 0.0787296i | ||||
\(485\) | 1.50000 | + | 2.59808i | 0.0681115 | + | 0.117973i | ||||
\(486\) | 15.5885i | 0.707107i | ||||||||
\(487\) | 12.5000 | − | 21.6506i | 0.566429 | − | 0.981084i | −0.430486 | − | 0.902597i | \(-0.641658\pi\) |
0.996915 | − | 0.0784867i | \(-0.0250088\pi\) | |||||||
\(488\) | 2.00000 | 0.0905357 | ||||||||
\(489\) | 28.5000 | − | 16.4545i | 1.28881 | − | 0.744097i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −10.5000 | − | 18.1865i | −0.473858 | − | 0.820747i | 0.525694 | − | 0.850674i | \(-0.323806\pi\) |
−0.999552 | + | 0.0299272i | \(0.990472\pi\) | |||||||
\(492\) | 4.50000 | − | 2.59808i | 0.202876 | − | 0.117130i | ||||
\(493\) | 4.50000 | + | 7.79423i | 0.202670 | + | 0.351034i | ||||
\(494\) | 3.50000 | − | 6.06218i | 0.157472 | − | 0.272750i | ||||
\(495\) | −27.0000 | −1.21356 | ||||||||
\(496\) | −8.00000 | −0.359211 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −13.5000 | − | 7.79423i | −0.604949 | − | 0.349268i | ||||
\(499\) | 12.5000 | − | 21.6506i | 0.559577 | − | 0.969216i | −0.437955 | − | 0.898997i | \(-0.644297\pi\) |
0.997532 | − | 0.0702185i | \(-0.0223697\pi\) | |||||||
\(500\) | 3.00000 | 0.134164 | ||||||||
\(501\) | −22.5000 | + | 12.9904i | −1.00523 | + | 0.580367i | ||||
\(502\) | 12.0000 | 0.535586 | ||||||||
\(503\) | 24.0000 | 1.07011 | 0.535054 | − | 0.844818i | \(-0.320291\pi\) | ||||
0.535054 | + | 0.844818i | \(0.320291\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.00000 | 0.400495 | ||||||||
\(506\) | −27.0000 | −1.20030 | ||||||||
\(507\) | −18.0000 | − | 10.3923i | −0.799408 | − | 0.461538i | ||||
\(508\) | −4.00000 | −0.177471 | ||||||||
\(509\) | −4.50000 | + | 7.79423i | −0.199459 | + | 0.345473i | −0.948353 | − | 0.317217i | \(-0.897252\pi\) |
0.748894 | + | 0.662690i | \(0.230585\pi\) | |||||||
\(510\) | 13.5000 | − | 7.79423i | 0.597790 | − | 0.345134i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 31.5000 | − | 18.1865i | 1.39076 | − | 0.802955i | ||||
\(514\) | 10.5000 | − | 18.1865i | 0.463135 | − | 0.802174i | ||||
\(515\) | 19.5000 | + | 33.7750i | 0.859273 | + | 1.48830i | ||||
\(516\) | −1.50000 | − | 0.866025i | −0.0660338 | − | 0.0381246i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 10.3923i | − | 0.456172i | ||||||
\(520\) | 3.00000 | 0.131559 | ||||||||
\(521\) | 1.50000 | − | 2.59808i | 0.0657162 | − | 0.113824i | −0.831295 | − | 0.555831i | \(-0.812400\pi\) |
0.897011 | + | 0.442007i | \(0.145733\pi\) | |||||||
\(522\) | −4.50000 | + | 7.79423i | −0.196960 | + | 0.341144i | ||||
\(523\) | −3.50000 | − | 6.06218i | −0.153044 | − | 0.265081i | 0.779301 | − | 0.626650i | \(-0.215574\pi\) |
−0.932345 | + | 0.361569i | \(0.882241\pi\) | |||||||
\(524\) | 7.50000 | − | 12.9904i | 0.327639 | − | 0.567487i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.50000 | + | 7.79423i | 0.196209 | + | 0.339845i | ||||
\(527\) | −12.0000 | + | 20.7846i | −0.522728 | + | 0.905392i | ||||
\(528\) | 4.50000 | − | 2.59808i | 0.195837 | − | 0.113067i | ||||
\(529\) | −29.0000 | − | 50.2295i | −1.26087 | − | 2.18389i | ||||
\(530\) | −4.50000 | − | 7.79423i | −0.195468 | − | 0.338560i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.50000 | − | 2.59808i | 0.0649722 | − | 0.112535i | ||||
\(534\) | −4.50000 | + | 2.59808i | −0.194734 | + | 0.112430i | ||||
\(535\) | −27.0000 | −1.16731 | ||||||||
\(536\) | 4.00000 | 0.172774 | ||||||||
\(537\) | −31.5000 | − | 18.1865i | −1.35933 | − | 0.784807i | ||||
\(538\) | −7.50000 | + | 12.9904i | −0.323348 | + | 0.560055i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 13.5000 | + | 7.79423i | 0.580948 | + | 0.335410i | ||||
\(541\) | −5.50000 | − | 9.52628i | −0.236463 | − | 0.409567i | 0.723234 | − | 0.690604i | \(-0.242655\pi\) |
−0.959697 | + | 0.281037i | \(0.909322\pi\) | |||||||
\(542\) | −2.50000 | − | 4.33013i | −0.107384 | − | 0.185995i | ||||
\(543\) | 3.46410i | 0.148659i | ||||||||
\(544\) | −1.50000 | + | 2.59808i | −0.0643120 | + | 0.111392i | ||||
\(545\) | −19.5000 | − | 33.7750i | −0.835288 | − | 1.44676i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.50000 | + | 9.52628i | −0.235163 | + | 0.407314i | −0.959320 | − | 0.282321i | \(-0.908896\pi\) |
0.724157 | + | 0.689635i | \(0.242229\pi\) | |||||||
\(548\) | 4.50000 | + | 7.79423i | 0.192230 | + | 0.332953i | ||||
\(549\) | 6.00000 | 0.256074 | ||||||||
\(550\) | −6.00000 | + | 10.3923i | −0.255841 | + | 0.443129i | ||||
\(551\) | 21.0000 | 0.894630 | ||||||||
\(552\) | 13.5000 | + | 7.79423i | 0.574598 | + | 0.331744i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −0.500000 | − | 0.866025i | −0.0212430 | − | 0.0367939i | ||||
\(555\) | − | 5.19615i | − | 0.220564i | ||||||
\(556\) | −3.50000 | − | 6.06218i | −0.148433 | − | 0.257094i | ||||
\(557\) | 4.50000 | − | 7.79423i | 0.190671 | − | 0.330252i | −0.754802 | − | 0.655953i | \(-0.772267\pi\) |
0.945473 | + | 0.325701i | \(0.105600\pi\) | |||||||
\(558\) | −24.0000 | −1.01600 | ||||||||
\(559\) | −1.00000 | −0.0422955 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | − | 15.5885i | − | 0.658145i | ||||||
\(562\) | −10.5000 | + | 18.1865i | −0.442916 | + | 0.767153i | ||||
\(563\) | −12.0000 | −0.505740 | −0.252870 | − | 0.967500i | \(-0.581374\pi\) | ||||
−0.252870 | + | 0.967500i | \(0.581374\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 27.0000 | 1.13590 | ||||||||
\(566\) | −4.00000 | −0.168133 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −12.0000 | −0.503509 | ||||||||
\(569\) | −18.0000 | −0.754599 | −0.377300 | − | 0.926091i | \(-0.623147\pi\) | ||||
−0.377300 | + | 0.926091i | \(0.623147\pi\) | |||||||
\(570\) | − | 36.3731i | − | 1.52350i | ||||||
\(571\) | 32.0000 | 1.33916 | 0.669579 | − | 0.742741i | \(-0.266474\pi\) | ||||
0.669579 | + | 0.742741i | \(0.266474\pi\) | |||||||
\(572\) | 1.50000 | − | 2.59808i | 0.0627182 | − | 0.108631i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −36.0000 | −1.50130 | ||||||||
\(576\) | −3.00000 | −0.125000 | ||||||||
\(577\) | −12.5000 | + | 21.6506i | −0.520382 | + | 0.901328i | 0.479337 | + | 0.877631i | \(0.340877\pi\) |
−0.999719 | + | 0.0236970i | \(0.992456\pi\) | |||||||
\(578\) | −4.00000 | − | 6.92820i | −0.166378 | − | 0.288175i | ||||
\(579\) | − | 24.2487i | − | 1.00774i | ||||||
\(580\) | 4.50000 | + | 7.79423i | 0.186852 | + | 0.323638i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −1.50000 | − | 0.866025i | −0.0621770 | − | 0.0358979i | ||||
\(583\) | −9.00000 | −0.372742 | ||||||||
\(584\) | −5.50000 | + | 9.52628i | −0.227592 | + | 0.394200i | ||||
\(585\) | 9.00000 | 0.372104 | ||||||||
\(586\) | 4.50000 | + | 7.79423i | 0.185893 | + | 0.321977i | ||||
\(587\) | 1.50000 | − | 2.59808i | 0.0619116 | − | 0.107234i | −0.833408 | − | 0.552658i | \(-0.813614\pi\) |
0.895320 | + | 0.445424i | \(0.146947\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 28.0000 | + | 48.4974i | 1.15372 | + | 1.99830i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − | 31.1769i | − | 1.28245i | ||||||
\(592\) | 0.500000 | + | 0.866025i | 0.0205499 | + | 0.0355934i | ||||
\(593\) | 19.5000 | + | 33.7750i | 0.800769 | + | 1.38697i | 0.919111 | + | 0.394000i | \(0.128909\pi\) |
−0.118342 | + | 0.992973i | \(0.537758\pi\) | |||||||
\(594\) | 13.5000 | − | 7.79423i | 0.553912 | − | 0.319801i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 4.50000 | − | 7.79423i | 0.184327 | − | 0.319264i | ||||
\(597\) | 37.5000 | + | 21.6506i | 1.53477 | + | 0.886102i | ||||
\(598\) | 9.00000 | 0.368037 | ||||||||
\(599\) | −24.0000 | −0.980613 | −0.490307 | − | 0.871550i | \(-0.663115\pi\) | ||||
−0.490307 | + | 0.871550i | \(0.663115\pi\) | |||||||
\(600\) | 6.00000 | − | 3.46410i | 0.244949 | − | 0.141421i | ||||
\(601\) | −12.5000 | + | 21.6506i | −0.509886 | + | 0.883148i | 0.490049 | + | 0.871695i | \(0.336979\pi\) |
−0.999934 | + | 0.0114528i | \(0.996354\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 12.0000 | 0.488678 | ||||||||
\(604\) | 3.50000 | + | 6.06218i | 0.142413 | + | 0.246667i | ||||
\(605\) | −3.00000 | − | 5.19615i | −0.121967 | − | 0.211254i | ||||
\(606\) | −4.50000 | + | 2.59808i | −0.182800 | + | 0.105540i | ||||
\(607\) | −6.50000 | + | 11.2583i | −0.263827 | + | 0.456962i | −0.967256 | − | 0.253804i | \(-0.918318\pi\) |
0.703429 | + | 0.710766i | \(0.251651\pi\) | |||||||
\(608\) | 3.50000 | + | 6.06218i | 0.141944 | + | 0.245854i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.00000 | − | 5.19615i | 0.121466 | − | 0.210386i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −4.50000 | + | 7.79423i | −0.181902 | + | 0.315063i | ||||
\(613\) | −11.5000 | + | 19.9186i | −0.464481 | + | 0.804504i | −0.999178 | − | 0.0405396i | \(-0.987092\pi\) |
0.534697 | + | 0.845044i | \(0.320426\pi\) | |||||||
\(614\) | −28.0000 | −1.12999 | ||||||||
\(615\) | − | 15.5885i | − | 0.628587i | ||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 22.5000 | + | 38.9711i | 0.905816 | + | 1.56892i | 0.819818 | + | 0.572624i | \(0.194074\pi\) |
0.0859976 | + | 0.996295i | \(0.472592\pi\) | |||||||
\(618\) | −19.5000 | − | 11.2583i | −0.784405 | − | 0.452876i | ||||
\(619\) | 8.50000 | + | 14.7224i | 0.341644 | + | 0.591744i | 0.984738 | − | 0.174042i | \(-0.0556830\pi\) |
−0.643094 | + | 0.765787i | \(0.722350\pi\) | |||||||
\(620\) | −12.0000 | + | 20.7846i | −0.481932 | + | 0.834730i | ||||
\(621\) | 40.5000 | + | 23.3827i | 1.62521 | + | 0.938315i | ||||
\(622\) | −24.0000 | −0.962312 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −1.50000 | + | 0.866025i | −0.0600481 | + | 0.0346688i | ||||
\(625\) | 14.5000 | − | 25.1147i | 0.580000 | − | 1.00459i | ||||
\(626\) | −10.0000 | −0.399680 | ||||||||
\(627\) | −31.5000 | − | 18.1865i | −1.25799 | − | 0.726300i | ||||
\(628\) | 22.0000 | 0.877896 | ||||||||
\(629\) | 3.00000 | 0.119618 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.00000 | 0.318475 | 0.159237 | − | 0.987240i | \(-0.449096\pi\) | ||||
0.159237 | + | 0.987240i | \(0.449096\pi\) | |||||||
\(632\) | 16.0000 | 0.636446 | ||||||||
\(633\) | −7.50000 | + | 4.33013i | −0.298098 | + | 0.172107i | ||||
\(634\) | −18.0000 | −0.714871 | ||||||||
\(635\) | −6.00000 | + | 10.3923i | −0.238103 | + | 0.412406i | ||||
\(636\) | 4.50000 | + | 2.59808i | 0.178437 | + | 0.103020i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 9.00000 | 0.356313 | ||||||||
\(639\) | −36.0000 | −1.42414 | ||||||||
\(640\) | −1.50000 | + | 2.59808i | −0.0592927 | + | 0.102698i | ||||
\(641\) | 16.5000 | + | 28.5788i | 0.651711 | + | 1.12880i | 0.982708 | + | 0.185164i | \(0.0592817\pi\) |
−0.330997 | + | 0.943632i | \(0.607385\pi\) | |||||||
\(642\) | 13.5000 | − | 7.79423i | 0.532803 | − | 0.307614i | ||||
\(643\) | 14.5000 | + | 25.1147i | 0.571824 | + | 0.990429i | 0.996379 | + | 0.0850262i | \(0.0270974\pi\) |
−0.424555 | + | 0.905402i | \(0.639569\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −4.50000 | + | 2.59808i | −0.177187 | + | 0.102299i | ||||
\(646\) | 21.0000 | 0.826234 | ||||||||
\(647\) | −10.5000 | + | 18.1865i | −0.412798 | + | 0.714986i | −0.995194 | − | 0.0979182i | \(-0.968782\pi\) |
0.582397 | + | 0.812905i | \(0.302115\pi\) | |||||||
\(648\) | −9.00000 | −0.353553 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 2.00000 | − | 3.46410i | 0.0784465 | − | 0.135873i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 9.50000 | + | 16.4545i | 0.372049 | + | 0.644407i | ||||
\(653\) | −7.50000 | + | 12.9904i | −0.293498 | + | 0.508353i | −0.974634 | − | 0.223803i | \(-0.928153\pi\) |
0.681137 | + | 0.732156i | \(0.261486\pi\) | |||||||
\(654\) | 19.5000 | + | 11.2583i | 0.762510 | + | 0.440236i | ||||
\(655\) | −22.5000 | − | 38.9711i | −0.879148 | − | 1.52273i | ||||
\(656\) | 1.50000 | + | 2.59808i | 0.0585652 | + | 0.101438i | ||||
\(657\) | −16.5000 | + | 28.5788i | −0.643726 | + | 1.11497i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.50000 | + | 2.59808i | −0.0584317 | + | 0.101207i | −0.893762 | − | 0.448542i | \(-0.851943\pi\) |
0.835330 | + | 0.549749i | \(0.185277\pi\) | |||||||
\(660\) | − | 15.5885i | − | 0.606780i | ||||||
\(661\) | 22.0000 | 0.855701 | 0.427850 | − | 0.903850i | \(-0.359271\pi\) | ||||
0.427850 | + | 0.903850i | \(0.359271\pi\) | |||||||
\(662\) | −8.00000 | −0.310929 | ||||||||
\(663\) | 5.19615i | 0.201802i | ||||||||
\(664\) | 4.50000 | − | 7.79423i | 0.174634 | − | 0.302475i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.50000 | + | 2.59808i | 0.0581238 | + | 0.100673i | ||||
\(667\) | 13.5000 | + | 23.3827i | 0.522722 | + | 0.905381i | ||||
\(668\) | −7.50000 | − | 12.9904i | −0.290184 | − | 0.502613i | ||||
\(669\) | 1.50000 | + | 0.866025i | 0.0579934 | + | 0.0334825i | ||||
\(670\) | 6.00000 | − | 10.3923i | 0.231800 | − | 0.401490i | ||||
\(671\) | −3.00000 | − | 5.19615i | −0.115814 | − | 0.200595i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.5000 | + | 30.3109i | −0.674575 | + | 1.16840i | 0.302017 | + | 0.953302i | \(0.402340\pi\) |
−0.976593 | + | 0.215096i | \(0.930993\pi\) | |||||||
\(674\) | −6.50000 | − | 11.2583i | −0.250371 | − | 0.433655i | ||||
\(675\) | 18.0000 | − | 10.3923i | 0.692820 | − | 0.400000i | ||||
\(676\) | 6.00000 | − | 10.3923i | 0.230769 | − | 0.399704i | ||||
\(677\) | 30.0000 | 1.15299 | 0.576497 | − | 0.817099i | \(-0.304419\pi\) | ||||
0.576497 | + | 0.817099i | \(0.304419\pi\) | |||||||
\(678\) | −13.5000 | + | 7.79423i | −0.518464 | + | 0.299336i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 4.50000 | + | 7.79423i | 0.172567 | + | 0.298895i | ||||
\(681\) | −4.50000 | + | 2.59808i | −0.172440 | + | 0.0995585i | ||||
\(682\) | 12.0000 | + | 20.7846i | 0.459504 | + | 0.795884i | ||||
\(683\) | 4.50000 | − | 7.79423i | 0.172188 | − | 0.298238i | −0.766997 | − | 0.641651i | \(-0.778250\pi\) |
0.939184 | + | 0.343413i | \(0.111583\pi\) | |||||||
\(684\) | 10.5000 | + | 18.1865i | 0.401478 | + | 0.695379i | ||||
\(685\) | 27.0000 | 1.03162 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 19.5000 | + | 11.2583i | 0.743971 | + | 0.429532i | ||||
\(688\) | 0.500000 | − | 0.866025i | 0.0190623 | − | 0.0330169i | ||||
\(689\) | 3.00000 | 0.114291 | ||||||||
\(690\) | 40.5000 | − | 23.3827i | 1.54181 | − | 0.890164i | ||||
\(691\) | −44.0000 | −1.67384 | −0.836919 | − | 0.547326i | \(-0.815646\pi\) | ||||
−0.836919 | + | 0.547326i | \(0.815646\pi\) | |||||||
\(692\) | 6.00000 | 0.228086 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.0000 | −0.455514 | ||||||||
\(695\) | −21.0000 | −0.796575 | ||||||||
\(696\) | −4.50000 | − | 2.59808i | −0.170572 | − | 0.0984798i | ||||
\(697\) | 9.00000 | 0.340899 | ||||||||
\(698\) | −11.5000 | + | 19.9186i | −0.435281 | + | 0.753930i | ||||
\(699\) | −4.50000 | + | 2.59808i | −0.170206 | + | 0.0982683i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −18.0000 | −0.679851 | −0.339925 | − | 0.940452i | \(-0.610402\pi\) | ||||
−0.339925 | + | 0.940452i | \(0.610402\pi\) | |||||||
\(702\) | −4.50000 | + | 2.59808i | −0.169842 | + | 0.0980581i | ||||
\(703\) | 3.50000 | − | 6.06218i | 0.132005 | − | 0.228639i | ||||
\(704\) | 1.50000 | + | 2.59808i | 0.0565334 | + | 0.0979187i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.50000 | − | 2.59808i | −0.0564532 | − | 0.0977799i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 26.0000 | 0.976450 | 0.488225 | − | 0.872718i | \(-0.337644\pi\) | ||||
0.488225 | + | 0.872718i | \(0.337644\pi\) | |||||||
\(710\) | −18.0000 | + | 31.1769i | −0.675528 | + | 1.17005i | ||||
\(711\) | 48.0000 | 1.80014 | ||||||||
\(712\) | −1.50000 | − | 2.59808i | −0.0562149 | − | 0.0973670i | ||||
\(713\) | −36.0000 | + | 62.3538i | −1.34821 | + | 2.33517i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.50000 | − | 7.79423i | −0.168290 | − | 0.291488i | ||||
\(716\) | 10.5000 | − | 18.1865i | 0.392403 | − | 0.679663i | ||||
\(717\) | 4.50000 | − | 2.59808i | 0.168056 | − | 0.0970269i | ||||
\(718\) | 4.50000 | + | 7.79423i | 0.167939 | + | 0.290878i | ||||
\(719\) | −7.50000 | − | 12.9904i | −0.279703 | − | 0.484459i | 0.691608 | − | 0.722273i | \(-0.256903\pi\) |
−0.971311 | + | 0.237814i | \(0.923569\pi\) | |||||||
\(720\) | −4.50000 | + | 7.79423i | −0.167705 | + | 0.290474i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 15.0000 | − | 25.9808i | 0.558242 | − | 0.966904i | ||||
\(723\) | −19.5000 | + | 11.2583i | −0.725213 | + | 0.418702i | ||||
\(724\) | −2.00000 | −0.0743294 | ||||||||
\(725\) | 12.0000 | 0.445669 | ||||||||
\(726\) | 3.00000 | + | 1.73205i | 0.111340 | + | 0.0642824i | ||||
\(727\) | −6.50000 | + | 11.2583i | −0.241072 | + | 0.417548i | −0.961020 | − | 0.276479i | \(-0.910832\pi\) |
0.719948 | + | 0.694028i | \(0.244166\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | 16.5000 | + | 28.5788i | 0.610692 | + | 1.05775i | ||||
\(731\) | −1.50000 | − | 2.59808i | −0.0554795 | − | 0.0960933i | ||||
\(732\) | 3.46410i | 0.128037i | ||||||||
\(733\) | −0.500000 | + | 0.866025i | −0.0184679 | + | 0.0319874i | −0.875112 | − | 0.483921i | \(-0.839212\pi\) |
0.856644 | + | 0.515908i | \(0.172546\pi\) | |||||||
\(734\) | −8.50000 | − | 14.7224i | −0.313741 | − | 0.543415i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.50000 | + | 7.79423i | −0.165872 | + | 0.287299i | ||||
\(737\) | −6.00000 | − | 10.3923i | −0.221013 | − | 0.382805i | ||||
\(738\) | 4.50000 | + | 7.79423i | 0.165647 | + | 0.286910i | ||||
\(739\) | −11.5000 | + | 19.9186i | −0.423034 | + | 0.732717i | −0.996235 | − | 0.0866983i | \(-0.972368\pi\) |
0.573200 | + | 0.819415i | \(0.305702\pi\) | |||||||
\(740\) | 3.00000 | 0.110282 | ||||||||
\(741\) | 10.5000 | + | 6.06218i | 0.385727 | + | 0.222700i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −10.5000 | − | 18.1865i | −0.385208 | − | 0.667199i | 0.606590 | − | 0.795015i | \(-0.292537\pi\) |
−0.991798 | + | 0.127815i | \(0.959204\pi\) | |||||||
\(744\) | − | 13.8564i | − | 0.508001i | ||||||
\(745\) | −13.5000 | − | 23.3827i | −0.494602 | − | 0.856675i | ||||
\(746\) | −6.50000 | + | 11.2583i | −0.237982 | + | 0.412197i | ||||
\(747\) | 13.5000 | − | 23.3827i | 0.493939 | − | 0.855528i | ||||
\(748\) | 9.00000 | 0.329073 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 5.19615i | 0.189737i | ||||||||
\(751\) | 6.50000 | − | 11.2583i | 0.237188 | − | 0.410822i | −0.722718 | − | 0.691143i | \(-0.757107\pi\) |
0.959906 | + | 0.280321i | \(0.0904408\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 20.7846i | 0.757433i | ||||||||
\(754\) | −3.00000 | −0.109254 | ||||||||
\(755\) | 21.0000 | 0.764268 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −22.0000 | −0.799604 | −0.399802 | − | 0.916602i | \(-0.630921\pi\) | ||||
−0.399802 | + | 0.916602i | \(0.630921\pi\) | |||||||
\(758\) | 28.0000 | 1.01701 | ||||||||
\(759\) | − | 46.7654i | − | 1.69748i | ||||||
\(760\) | 21.0000 | 0.761750 | ||||||||
\(761\) | −22.5000 | + | 38.9711i | −0.815624 | + | 1.41270i | 0.0932544 | + | 0.995642i | \(0.470273\pi\) |
−0.908879 | + | 0.417061i | \(0.863060\pi\) | |||||||
\(762\) | − | 6.92820i | − | 0.250982i | ||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 13.5000 | + | 23.3827i | 0.488094 | + | 0.845403i | ||||
\(766\) | −7.50000 | + | 12.9904i | −0.270986 | + | 0.469362i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | − | 1.73205i | − | 0.0625000i | ||||||
\(769\) | 11.5000 | + | 19.9186i | 0.414701 | + | 0.718283i | 0.995397 | − | 0.0958377i | \(-0.0305530\pi\) |
−0.580696 | + | 0.814120i | \(0.697220\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 31.5000 | + | 18.1865i | 1.13444 | + | 0.654972i | ||||
\(772\) | 14.0000 | 0.503871 | ||||||||
\(773\) | 13.5000 | − | 23.3827i | 0.485561 | − | 0.841017i | −0.514301 | − | 0.857610i | \(-0.671949\pi\) |
0.999862 | + | 0.0165929i | \(0.00528194\pi\) | |||||||
\(774\) | 1.50000 | − | 2.59808i | 0.0539164 | − | 0.0933859i | ||||
\(775\) | 16.0000 | + | 27.7128i | 0.574737 | + | 0.995474i | ||||
\(776\) | 0.500000 | − | 0.866025i | 0.0179490 | − | 0.0310885i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 13.5000 | + | 23.3827i | 0.483998 | + | 0.838310i | ||||
\(779\) | 10.5000 | − | 18.1865i | 0.376202 | − | 0.651600i | ||||
\(780\) | 5.19615i | 0.186052i | ||||||||
\(781\) | 18.0000 | + | 31.1769i | 0.644091 | + | 1.11560i | ||||
\(782\) | 13.5000 | + | 23.3827i | 0.482759 | + | 0.836163i | ||||
\(783\) | −13.5000 | − | 7.79423i | −0.482451 | − | 0.278543i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 33.0000 | − | 57.1577i | 1.17782 | − | 2.04004i | ||||
\(786\) | 22.5000 | + | 12.9904i | 0.802548 | + | 0.463352i | ||||
\(787\) | 28.0000 | 0.998092 | 0.499046 | − | 0.866575i | \(-0.333684\pi\) | ||||
0.499046 | + | 0.866575i | \(0.333684\pi\) | |||||||
\(788\) | 18.0000 | 0.641223 | ||||||||
\(789\) | −13.5000 | + | 7.79423i | −0.480613 | + | 0.277482i | ||||
\(790\) | 24.0000 | − | 41.5692i | 0.853882 | − | 1.47897i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 4.50000 | + | 7.79423i | 0.159901 | + | 0.276956i | ||||
\(793\) | 1.00000 | + | 1.73205i | 0.0355110 | + | 0.0615069i | ||||
\(794\) | 6.50000 | + | 11.2583i | 0.230676 | + | 0.399543i | ||||
\(795\) | 13.5000 | − | 7.79423i | 0.478796 | − | 0.276433i | ||||
\(796\) | −12.5000 | + | 21.6506i | −0.443051 | + | 0.767386i | ||||
\(797\) | −10.5000 | − | 18.1865i | −0.371929 | − | 0.644200i | 0.617933 | − | 0.786231i | \(-0.287970\pi\) |
−0.989862 | + | 0.142031i | \(0.954637\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 2.00000 | + | 3.46410i | 0.0707107 | + | 0.122474i | ||||
\(801\) | −4.50000 | − | 7.79423i | −0.159000 | − | 0.275396i | ||||
\(802\) | 13.5000 | − | 23.3827i | 0.476702 | − | 0.825671i | ||||
\(803\) | 33.0000 | 1.16454 | ||||||||
\(804\) | 6.92820i | 0.244339i | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −4.00000 | − | 6.92820i | −0.140894 | − | 0.244036i | ||||
\(807\) | −22.5000 | − | 12.9904i | −0.792038 | − | 0.457283i | ||||
\(808\) | −1.50000 | − | 2.59808i | −0.0527698 | − | 0.0914000i | ||||
\(809\) | 16.5000 | − | 28.5788i | 0.580109 | − | 1.00478i | −0.415357 | − | 0.909659i | \(-0.636343\pi\) |
0.995466 | − | 0.0951198i | \(-0.0303234\pi\) | |||||||
\(810\) | −13.5000 | + | 23.3827i | −0.474342 | + | 0.821584i | ||||
\(811\) | −20.0000 | −0.702295 | −0.351147 | − | 0.936320i | \(-0.614208\pi\) | ||||
−0.351147 | + | 0.936320i | \(0.614208\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 7.50000 | − | 4.33013i | 0.263036 | − | 0.151864i | ||||
\(814\) | 1.50000 | − | 2.59808i | 0.0525750 | − | 0.0910625i | ||||
\(815\) | 57.0000 | 1.99662 | ||||||||
\(816\) | −4.50000 | − | 2.59808i | −0.157532 | − | 0.0909509i | ||||
\(817\) | −7.00000 | −0.244899 | ||||||||
\(818\) | −34.0000 | −1.18878 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 9.00000 | 0.314294 | ||||||||
\(821\) | −42.0000 | −1.46581 | −0.732905 | − | 0.680331i | \(-0.761836\pi\) | ||||
−0.732905 | + | 0.680331i | \(0.761836\pi\) | |||||||
\(822\) | −13.5000 | + | 7.79423i | −0.470867 | + | 0.271855i | ||||
\(823\) | −40.0000 | −1.39431 | −0.697156 | − | 0.716919i | \(-0.745552\pi\) | ||||
−0.697156 | + | 0.716919i | \(0.745552\pi\) | |||||||
\(824\) | 6.50000 | − | 11.2583i | 0.226438 | − | 0.392203i | ||||
\(825\) | −18.0000 | − | 10.3923i | −0.626680 | − | 0.361814i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.0000 | 1.25184 | 0.625921 | − | 0.779886i | \(-0.284723\pi\) | ||||
0.625921 | + | 0.779886i | \(0.284723\pi\) | |||||||
\(828\) | −13.5000 | + | 23.3827i | −0.469157 | + | 0.812605i | ||||
\(829\) | 5.50000 | − | 9.52628i | 0.191023 | − | 0.330861i | −0.754567 | − | 0.656223i | \(-0.772153\pi\) |
0.945589 | + | 0.325362i | \(0.105486\pi\) | |||||||
\(830\) | −13.5000 | − | 23.3827i | −0.468592 | − | 0.811625i | ||||
\(831\) | 1.50000 | − | 0.866025i | 0.0520344 | − | 0.0300421i | ||||
\(832\) | −0.500000 | − | 0.866025i | −0.0173344 | − | 0.0300240i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 10.5000 | − | 6.06218i | 0.363585 | − | 0.209916i | ||||
\(835\) | −45.0000 | −1.55729 | ||||||||
\(836\) | 10.5000 | − | 18.1865i | 0.363150 | − | 0.628994i | ||||
\(837\) | − | 41.5692i | − | 1.43684i | ||||||
\(838\) | −4.50000 | − | 7.79423i | −0.155450 | − | 0.269247i | ||||
\(839\) | 7.50000 | − | 12.9904i | 0.258929 | − | 0.448478i | −0.707026 | − | 0.707187i | \(-0.749964\pi\) |
0.965955 | + | 0.258709i | \(0.0832972\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.0000 | + | 17.3205i | 0.344828 | + | 0.597259i | ||||
\(842\) | 17.5000 | − | 30.3109i | 0.603090 | − | 1.04458i | ||||
\(843\) | −31.5000 | − | 18.1865i | −1.08492 | − | 0.626377i | ||||
\(844\) | −2.50000 | − | 4.33013i | −0.0860535 | − | 0.149049i | ||||
\(845\) | −18.0000 | − | 31.1769i | −0.619219 | − | 1.07252i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −1.50000 | + | 2.59808i | −0.0515102 | + | 0.0892183i | ||||
\(849\) | − | 6.92820i | − | 0.237775i | ||||||
\(850\) | 12.0000 | 0.411597 | ||||||||
\(851\) | 9.00000 | 0.308516 | ||||||||
\(852\) | − | 20.7846i | − | 0.712069i | ||||||
\(853\) | −0.500000 | + | 0.866025i | −0.0171197 | + | 0.0296521i | −0.874458 | − | 0.485101i | \(-0.838783\pi\) |
0.857339 | + | 0.514753i | \(0.172116\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 63.0000 | 2.15455 | ||||||||
\(856\) | 4.50000 | + | 7.79423i | 0.153807 | + | 0.266401i | ||||
\(857\) | 1.50000 | + | 2.59808i | 0.0512390 | + | 0.0887486i | 0.890507 | − | 0.454969i | \(-0.150350\pi\) |
−0.839268 | + | 0.543718i | \(0.817016\pi\) | |||||||
\(858\) | 4.50000 | + | 2.59808i | 0.153627 | + | 0.0886969i | ||||
\(859\) | −12.5000 | + | 21.6506i | −0.426494 | + | 0.738710i | −0.996559 | − | 0.0828900i | \(-0.973585\pi\) |
0.570064 | + | 0.821600i | \(0.306918\pi\) | |||||||
\(860\) | −1.50000 | − | 2.59808i | −0.0511496 | − | 0.0885937i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 13.5000 | − | 23.3827i | 0.459812 | − | 0.796417i | ||||
\(863\) | 25.5000 | + | 44.1673i | 0.868030 | + | 1.50347i | 0.864007 | + | 0.503480i | \(0.167947\pi\) |
0.00402340 | + | 0.999992i | \(0.498719\pi\) | |||||||
\(864\) | − | 5.19615i | − | 0.176777i | ||||||
\(865\) | 9.00000 | − | 15.5885i | 0.306009 | − | 0.530023i | ||||
\(866\) | 2.00000 | 0.0679628 | ||||||||
\(867\) | 12.0000 | − | 6.92820i | 0.407541 | − | 0.235294i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −24.0000 | − | 41.5692i | −0.814144 | − | 1.41014i | ||||
\(870\) | −13.5000 | + | 7.79423i | −0.457693 | + | 0.264249i | ||||
\(871\) | 2.00000 | + | 3.46410i | 0.0677674 | + | 0.117377i | ||||
\(872\) | −6.50000 | + | 11.2583i | −0.220118 | + | 0.381255i | ||||
\(873\) | 1.50000 | − | 2.59808i | 0.0507673 | − | 0.0879316i | ||||
\(874\) | 63.0000 | 2.13101 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −16.5000 | − | 9.52628i | −0.557483 | − | 0.321863i | ||||
\(877\) | −23.5000 | + | 40.7032i | −0.793539 | + | 1.37445i | 0.130224 | + | 0.991485i | \(0.458430\pi\) |
−0.923763 | + | 0.382965i | \(0.874903\pi\) | |||||||
\(878\) | 8.00000 | 0.269987 | ||||||||
\(879\) | −13.5000 | + | 7.79423i | −0.455344 | + | 0.262893i | ||||
\(880\) | 9.00000 | 0.303390 | ||||||||
\(881\) | 18.0000 | 0.606435 | 0.303218 | − | 0.952921i | \(-0.401939\pi\) | ||||
0.303218 | + | 0.952921i | \(0.401939\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 20.0000 | 0.673054 | 0.336527 | − | 0.941674i | \(-0.390748\pi\) | ||||
0.336527 | + | 0.941674i | \(0.390748\pi\) | |||||||
\(884\) | −3.00000 | −0.100901 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −36.0000 | −1.20944 | ||||||||
\(887\) | −16.5000 | + | 28.5788i | −0.554016 | + | 0.959583i | 0.443964 | + | 0.896045i | \(0.353572\pi\) |
−0.997979 | + | 0.0635387i | \(0.979761\pi\) | |||||||
\(888\) | −1.50000 | + | 0.866025i | −0.0503367 | + | 0.0290619i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −9.00000 | −0.301681 | ||||||||
\(891\) | 13.5000 | + | 23.3827i | 0.452267 | + | 0.783349i | ||||
\(892\) | −0.500000 | + | 0.866025i | −0.0167412 | + | 0.0289967i | ||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 13.5000 | + | 7.79423i | 0.451508 | + | 0.260678i | ||||
\(895\) | −31.5000 | − | 54.5596i | −1.05293 | − | 1.82373i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 15.5885i | 0.520483i | ||||||||
\(898\) | −6.00000 | −0.200223 | ||||||||
\(899\) | 12.0000 | − | 20.7846i | 0.400222 | − | 0.693206i | ||||
\(900\) | 6.00000 | + | 10.3923i | 0.200000 | + | 0.346410i | ||||
\(901\) | 4.50000 | + | 7.79423i | 0.149917 | + | 0.259663i | ||||
\(902\) | 4.50000 | − | 7.79423i | 0.149834 | − | 0.259519i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −4.50000 | − | 7.79423i | −0.149668 | − | 0.259232i | ||||
\(905\) | −3.00000 | + | 5.19615i | −0.0997234 | + | 0.172726i | ||||
\(906\) | −10.5000 | + | 6.06218i | −0.348839 | + | 0.201402i | ||||
\(907\) | 21.5000 | + | 37.2391i | 0.713896 | + | 1.23650i | 0.963384 | + | 0.268126i | \(0.0864043\pi\) |
−0.249488 | + | 0.968378i | \(0.580262\pi\) | |||||||
\(908\) | −1.50000 | − | 2.59808i | −0.0497792 | − | 0.0862202i | ||||
\(909\) | −4.50000 | − | 7.79423i | −0.149256 | − | 0.258518i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −19.5000 | + | 33.7750i | −0.646064 | + | 1.11902i | 0.337991 | + | 0.941149i | \(0.390253\pi\) |
−0.984055 | + | 0.177866i | \(0.943081\pi\) | |||||||
\(912\) | −10.5000 | + | 6.06218i | −0.347690 | + | 0.200739i | ||||
\(913\) | −27.0000 | −0.893570 | ||||||||
\(914\) | 10.0000 | 0.330771 | ||||||||
\(915\) | 9.00000 | + | 5.19615i | 0.297531 | + | 0.171780i | ||||
\(916\) | −6.50000 | + | 11.2583i | −0.214766 | + | 0.371986i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −13.5000 | − | 7.79423i | −0.445566 | − | 0.257248i | ||||
\(919\) | −26.5000 | − | 45.8993i | −0.874154 | − | 1.51408i | −0.857661 | − | 0.514216i | \(-0.828083\pi\) |
−0.0164935 | − | 0.999864i | \(-0.505250\pi\) | |||||||
\(920\) | 13.5000 | + | 23.3827i | 0.445082 | + | 0.770904i | ||||
\(921\) | − | 48.4974i | − | 1.59804i | ||||||
\(922\) | 4.50000 | − | 7.79423i | 0.148200 | − | 0.256689i | ||||
\(923\) | −6.00000 | − | 10.3923i | −0.197492 | − | 0.342067i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.00000 | − | 3.46410i | 0.0657596 | − | 0.113899i | ||||
\(926\) | 20.5000 | + | 35.5070i | 0.673672 | + | 1.16683i | ||||
\(927\) | 19.5000 | − | 33.7750i | 0.640464 | − | 1.10932i | ||||
\(928\) | 1.50000 | − | 2.59808i | 0.0492399 | − | 0.0852860i | ||||
\(929\) | −18.0000 | −0.590561 | −0.295280 | − | 0.955411i | \(-0.595413\pi\) | ||||
−0.295280 | + | 0.955411i | \(0.595413\pi\) | |||||||
\(930\) | −36.0000 | − | 20.7846i | −1.18049 | − | 0.681554i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −1.50000 | − | 2.59808i | −0.0491341 | − | 0.0851028i | ||||
\(933\) | − | 41.5692i | − | 1.36092i | ||||||
\(934\) | 1.50000 | + | 2.59808i | 0.0490815 | + | 0.0850117i | ||||
\(935\) | 13.5000 | − | 23.3827i | 0.441497 | − | 0.764696i | ||||
\(936\) | −1.50000 | − | 2.59808i | −0.0490290 | − | 0.0849208i | ||||
\(937\) | −26.0000 | −0.849383 | −0.424691 | − | 0.905338i | \(-0.639617\pi\) | ||||
−0.424691 | + | 0.905338i | \(0.639617\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − | 17.3205i | − | 0.565233i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 6.00000 | 0.195594 | 0.0977972 | − | 0.995206i | \(-0.468820\pi\) | ||||
0.0977972 | + | 0.995206i | \(0.468820\pi\) | |||||||
\(942\) | 38.1051i | 1.24153i | ||||||||
\(943\) | 27.0000 | 0.879241 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.00000 | −0.0975384 | ||||||||
\(947\) | 12.0000 | 0.389948 | 0.194974 | − | 0.980808i | \(-0.437538\pi\) | ||||
0.194974 | + | 0.980808i | \(0.437538\pi\) | |||||||
\(948\) | 27.7128i | 0.900070i | ||||||||
\(949\) | −11.0000 | −0.357075 | ||||||||
\(950\) | 14.0000 | − | 24.2487i | 0.454220 | − | 0.786732i | ||||
\(951\) | − | 31.1769i | − | 1.01098i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 6.00000 | 0.194359 | 0.0971795 | − | 0.995267i | \(-0.469018\pi\) | ||||
0.0971795 | + | 0.995267i | \(0.469018\pi\) | |||||||
\(954\) | −4.50000 | + | 7.79423i | −0.145693 | + | 0.252347i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 1.50000 | + | 2.59808i | 0.0485135 | + | 0.0840278i | ||||
\(957\) | 15.5885i | 0.503903i | ||||||||
\(958\) | 1.50000 | + | 2.59808i | 0.0484628 | + | 0.0839400i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −4.50000 | − | 2.59808i | −0.145237 | − | 0.0838525i | ||||
\(961\) | 33.0000 | 1.06452 | ||||||||
\(962\) | −0.500000 | + | 0.866025i | −0.0161206 | + | 0.0279218i | ||||
\(963\) | 13.5000 | + | 23.3827i | 0.435031 | + | 0.753497i | ||||
\(964\) | −6.50000 | − | 11.2583i | −0.209351 | − | 0.362606i | ||||
\(965\) | 21.0000 | − | 36.3731i | 0.676014 | − | 1.17089i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −20.5000 | − | 35.5070i | −0.659236 | − | 1.14183i | −0.980814 | − | 0.194946i | \(-0.937547\pi\) |
0.321578 | − | 0.946883i | \(-0.395787\pi\) | |||||||
\(968\) | −1.00000 | + | 1.73205i | −0.0321412 | + | 0.0556702i | ||||
\(969\) | 36.3731i | 1.16847i | ||||||||
\(970\) | −1.50000 | − | 2.59808i | −0.0481621 | − | 0.0834192i | ||||
\(971\) | 16.5000 | + | 28.5788i | 0.529510 | + | 0.917139i | 0.999408 | + | 0.0344175i | \(0.0109576\pi\) |
−0.469897 | + | 0.882721i | \(0.655709\pi\) | |||||||
\(972\) | − | 15.5885i | − | 0.500000i | ||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −12.5000 | + | 21.6506i | −0.400526 | + | 0.693731i | ||||
\(975\) | 6.00000 | + | 3.46410i | 0.192154 | + | 0.110940i | ||||
\(976\) | −2.00000 | −0.0640184 | ||||||||
\(977\) | −30.0000 | −0.959785 | −0.479893 | − | 0.877327i | \(-0.659324\pi\) | ||||
−0.479893 | + | 0.877327i | \(0.659324\pi\) | |||||||
\(978\) | −28.5000 | + | 16.4545i | −0.911330 | + | 0.526156i | ||||
\(979\) | −4.50000 | + | 7.79423i | −0.143821 | + | 0.249105i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −19.5000 | + | 33.7750i | −0.622587 | + | 1.07835i | ||||
\(982\) | 10.5000 | + | 18.1865i | 0.335068 | + | 0.580356i | ||||
\(983\) | −7.50000 | − | 12.9904i | −0.239213 | − | 0.414329i | 0.721276 | − | 0.692648i | \(-0.243556\pi\) |
−0.960489 | + | 0.278319i | \(0.910223\pi\) | |||||||
\(984\) | −4.50000 | + | 2.59808i | −0.143455 | + | 0.0828236i | ||||
\(985\) | 27.0000 | − | 46.7654i | 0.860292 | − | 1.49007i | ||||
\(986\) | −4.50000 | − | 7.79423i | −0.143309 | − | 0.248219i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −3.50000 | + | 6.06218i | −0.111350 | + | 0.192864i | ||||
\(989\) | −4.50000 | − | 7.79423i | −0.143092 | − | 0.247842i | ||||
\(990\) | 27.0000 | 0.858116 | ||||||||
\(991\) | 12.5000 | − | 21.6506i | 0.397076 | − | 0.687755i | −0.596288 | − | 0.802771i | \(-0.703358\pi\) |
0.993364 | + | 0.115015i | \(0.0366917\pi\) | |||||||
\(992\) | 8.00000 | 0.254000 | ||||||||
\(993\) | − | 13.8564i | − | 0.439720i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 37.5000 | + | 64.9519i | 1.18883 | + | 2.05911i | ||||
\(996\) | 13.5000 | + | 7.79423i | 0.427764 | + | 0.246970i | ||||
\(997\) | −6.50000 | − | 11.2583i | −0.205857 | − | 0.356555i | 0.744548 | − | 0.667568i | \(-0.232665\pi\) |
−0.950405 | + | 0.311014i | \(0.899332\pi\) | |||||||
\(998\) | −12.5000 | + | 21.6506i | −0.395681 | + | 0.685339i | ||||
\(999\) | −4.50000 | + | 2.59808i | −0.142374 | + | 0.0821995i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))