Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [975,2,Mod(724,975)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(975, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("975.724");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 975 = 3 \cdot 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 975.bb (of order \(6\), 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: | \(7.78541419707\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 724.2 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 975.724 |
Dual form | 975.2.bb.d.874.2 |
$q$-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 \(\left(\mathbb{Z}/975\mathbb{Z}\right)^\times\).
\(n\) | \(301\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | 0.773893 | − | 0.633316i | \(-0.218307\pi\) |
−0.161521 | + | 0.986869i | \(0.551640\pi\) | |||||||
\(3\) | 0.866025 | + | 0.500000i | 0.500000 | + | 0.288675i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.500000 | + | 0.866025i | 0.204124 | + | 0.353553i | ||||
\(7\) | −1.73205 | + | 1.00000i | −0.654654 | + | 0.377964i | −0.790237 | − | 0.612801i | \(-0.790043\pi\) |
0.135583 | + | 0.990766i | \(0.456709\pi\) | |||||||
\(8\) | − | 3.00000i | − | 1.06066i | ||||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.00000 | − | 1.73205i | 0.301511 | − | 0.522233i | −0.674967 | − | 0.737848i | \(-0.735842\pi\) |
0.976478 | + | 0.215615i | \(0.0691756\pi\) | |||||||
\(12\) | − | 1.00000i | − | 0.288675i | ||||||
\(13\) | 0.866025 | − | 3.50000i | 0.240192 | − | 0.970725i | ||||
\(14\) | −2.00000 | −0.534522 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 6.06218 | − | 3.50000i | 1.47029 | − | 0.848875i | 0.470850 | − | 0.882213i | \(-0.343947\pi\) |
0.999444 | + | 0.0333386i | \(0.0106140\pi\) | |||||||
\(18\) | 1.00000i | 0.235702i | ||||||||
\(19\) | −3.00000 | − | 5.19615i | −0.688247 | − | 1.19208i | −0.972404 | − | 0.233301i | \(-0.925047\pi\) |
0.284157 | − | 0.958778i | \(-0.408286\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.00000 | −0.436436 | ||||||||
\(22\) | 1.73205 | − | 1.00000i | 0.369274 | − | 0.213201i | ||||
\(23\) | 5.19615 | + | 3.00000i | 1.08347 | + | 0.625543i | 0.931831 | − | 0.362892i | \(-0.118211\pi\) |
0.151642 | + | 0.988436i | \(0.451544\pi\) | |||||||
\(24\) | 1.50000 | − | 2.59808i | 0.306186 | − | 0.530330i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.50000 | − | 2.59808i | 0.490290 | − | 0.509525i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 1.73205 | + | 1.00000i | 0.327327 | + | 0.188982i | ||||
\(29\) | −0.500000 | + | 0.866025i | −0.0928477 | + | 0.160817i | −0.908708 | − | 0.417432i | \(-0.862930\pi\) |
0.815861 | + | 0.578249i | \(0.196264\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.00000 | 0.718421 | 0.359211 | − | 0.933257i | \(-0.383046\pi\) | ||||
0.359211 | + | 0.933257i | \(0.383046\pi\) | |||||||
\(32\) | −4.33013 | + | 2.50000i | −0.765466 | + | 0.441942i | ||||
\(33\) | 1.73205 | − | 1.00000i | 0.301511 | − | 0.174078i | ||||
\(34\) | 7.00000 | 1.20049 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.500000 | − | 0.866025i | 0.0833333 | − | 0.144338i | ||||
\(37\) | 0.866025 | + | 0.500000i | 0.142374 | + | 0.0821995i | 0.569495 | − | 0.821995i | \(-0.307139\pi\) |
−0.427121 | + | 0.904194i | \(0.640472\pi\) | |||||||
\(38\) | − | 6.00000i | − | 0.973329i | ||||||
\(39\) | 2.50000 | − | 2.59808i | 0.400320 | − | 0.416025i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.50000 | + | 7.79423i | −0.702782 | + | 1.21725i | 0.264704 | + | 0.964330i | \(0.414726\pi\) |
−0.967486 | + | 0.252924i | \(0.918608\pi\) | |||||||
\(42\) | −1.73205 | − | 1.00000i | −0.267261 | − | 0.154303i | ||||
\(43\) | 5.19615 | − | 3.00000i | 0.792406 | − | 0.457496i | −0.0484030 | − | 0.998828i | \(-0.515413\pi\) |
0.840809 | + | 0.541332i | \(0.182080\pi\) | |||||||
\(44\) | −2.00000 | −0.301511 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.00000 | + | 5.19615i | 0.442326 | + | 0.766131i | ||||
\(47\) | − | 6.00000i | − | 0.875190i | −0.899172 | − | 0.437595i | \(-0.855830\pi\) | ||
0.899172 | − | 0.437595i | \(-0.144170\pi\) | |||||||
\(48\) | 0.866025 | − | 0.500000i | 0.125000 | − | 0.0721688i | ||||
\(49\) | −1.50000 | + | 2.59808i | −0.214286 | + | 0.371154i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 7.00000 | 0.980196 | ||||||||
\(52\) | −3.46410 | + | 1.00000i | −0.480384 | + | 0.138675i | ||||
\(53\) | − | 9.00000i | − | 1.23625i | −0.786082 | − | 0.618123i | \(-0.787894\pi\) | ||
0.786082 | − | 0.618123i | \(-0.212106\pi\) | |||||||
\(54\) | −0.500000 | + | 0.866025i | −0.0680414 | + | 0.117851i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 3.00000 | + | 5.19615i | 0.400892 | + | 0.694365i | ||||
\(57\) | − | 6.00000i | − | 0.794719i | ||||||
\(58\) | −0.866025 | + | 0.500000i | −0.113715 | + | 0.0656532i | ||||
\(59\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.500000 | − | 0.866025i | −0.0640184 | − | 0.110883i | 0.832240 | − | 0.554416i | \(-0.187058\pi\) |
−0.896258 | + | 0.443533i | \(0.853725\pi\) | |||||||
\(62\) | 3.46410 | + | 2.00000i | 0.439941 | + | 0.254000i | ||||
\(63\) | −1.73205 | − | 1.00000i | −0.218218 | − | 0.125988i | ||||
\(64\) | −7.00000 | −0.875000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.00000 | 0.246183 | ||||||||
\(67\) | −1.73205 | − | 1.00000i | −0.211604 | − | 0.122169i | 0.390453 | − | 0.920623i | \(-0.372318\pi\) |
−0.602056 | + | 0.798454i | \(0.705652\pi\) | |||||||
\(68\) | −6.06218 | − | 3.50000i | −0.735147 | − | 0.424437i | ||||
\(69\) | 3.00000 | + | 5.19615i | 0.361158 | + | 0.625543i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.00000 | − | 5.19615i | −0.356034 | − | 0.616670i | 0.631260 | − | 0.775571i | \(-0.282538\pi\) |
−0.987294 | + | 0.158901i | \(0.949205\pi\) | |||||||
\(72\) | 2.59808 | − | 1.50000i | 0.306186 | − | 0.176777i | ||||
\(73\) | 11.0000i | 1.28745i | 0.765256 | + | 0.643726i | \(0.222612\pi\) | ||||
−0.765256 | + | 0.643726i | \(0.777388\pi\) | |||||||
\(74\) | 0.500000 | + | 0.866025i | 0.0581238 | + | 0.100673i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.00000 | + | 5.19615i | −0.344124 | + | 0.596040i | ||||
\(77\) | 4.00000i | 0.455842i | ||||||||
\(78\) | 3.46410 | − | 1.00000i | 0.392232 | − | 0.113228i | ||||
\(79\) | 4.00000 | 0.450035 | 0.225018 | − | 0.974355i | \(-0.427756\pi\) | ||||
0.225018 | + | 0.974355i | \(0.427756\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −7.79423 | + | 4.50000i | −0.860729 | + | 0.496942i | ||||
\(83\) | − | 14.0000i | − | 1.53670i | −0.640030 | − | 0.768350i | \(-0.721078\pi\) | ||
0.640030 | − | 0.768350i | \(-0.278922\pi\) | |||||||
\(84\) | 1.00000 | + | 1.73205i | 0.109109 | + | 0.188982i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 6.00000 | 0.646997 | ||||||||
\(87\) | −0.866025 | + | 0.500000i | −0.0928477 | + | 0.0536056i | ||||
\(88\) | −5.19615 | − | 3.00000i | −0.553912 | − | 0.319801i | ||||
\(89\) | −7.00000 | + | 12.1244i | −0.741999 | + | 1.28518i | 0.209585 | + | 0.977790i | \(0.432789\pi\) |
−0.951584 | + | 0.307389i | \(0.900545\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.00000 | + | 6.92820i | 0.209657 | + | 0.726273i | ||||
\(92\) | − | 6.00000i | − | 0.625543i | ||||||
\(93\) | 3.46410 | + | 2.00000i | 0.359211 | + | 0.207390i | ||||
\(94\) | 3.00000 | − | 5.19615i | 0.309426 | − | 0.535942i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −5.00000 | −0.510310 | ||||||||
\(97\) | 1.73205 | − | 1.00000i | 0.175863 | − | 0.101535i | −0.409484 | − | 0.912317i | \(-0.634291\pi\) |
0.585348 | + | 0.810782i | \(0.300958\pi\) | |||||||
\(98\) | −2.59808 | + | 1.50000i | −0.262445 | + | 0.151523i | ||||
\(99\) | 2.00000 | 0.201008 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.50000 | + | 2.59808i | −0.149256 | + | 0.258518i | −0.930953 | − | 0.365140i | \(-0.881021\pi\) |
0.781697 | + | 0.623658i | \(0.214354\pi\) | |||||||
\(102\) | 6.06218 | + | 3.50000i | 0.600245 | + | 0.346552i | ||||
\(103\) | 6.00000i | 0.591198i | 0.955312 | + | 0.295599i | \(0.0955191\pi\) | ||||
−0.955312 | + | 0.295599i | \(0.904481\pi\) | |||||||
\(104\) | −10.5000 | − | 2.59808i | −1.02961 | − | 0.254762i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.50000 | − | 7.79423i | 0.437079 | − | 0.757042i | ||||
\(107\) | −5.19615 | − | 3.00000i | −0.502331 | − | 0.290021i | 0.227345 | − | 0.973814i | \(-0.426996\pi\) |
−0.729676 | + | 0.683793i | \(0.760329\pi\) | |||||||
\(108\) | 0.866025 | − | 0.500000i | 0.0833333 | − | 0.0481125i | ||||
\(109\) | 2.00000 | 0.191565 | 0.0957826 | − | 0.995402i | \(-0.469465\pi\) | ||||
0.0957826 | + | 0.995402i | \(0.469465\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.500000 | + | 0.866025i | 0.0474579 | + | 0.0821995i | ||||
\(112\) | 2.00000i | 0.188982i | ||||||||
\(113\) | −12.9904 | + | 7.50000i | −1.22203 | + | 0.705541i | −0.965351 | − | 0.260955i | \(-0.915962\pi\) |
−0.256681 | + | 0.966496i | \(0.582629\pi\) | |||||||
\(114\) | 3.00000 | − | 5.19615i | 0.280976 | − | 0.486664i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 1.00000 | 0.0928477 | ||||||||
\(117\) | 3.46410 | − | 1.00000i | 0.320256 | − | 0.0924500i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −7.00000 | + | 12.1244i | −0.641689 | + | 1.11144i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.50000 | + | 6.06218i | 0.318182 | + | 0.551107i | ||||
\(122\) | − | 1.00000i | − | 0.0905357i | ||||||
\(123\) | −7.79423 | + | 4.50000i | −0.702782 | + | 0.405751i | ||||
\(124\) | −2.00000 | − | 3.46410i | −0.179605 | − | 0.311086i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −1.00000 | − | 1.73205i | −0.0890871 | − | 0.154303i | ||||
\(127\) | 17.3205 | + | 10.0000i | 1.53695 | + | 0.887357i | 0.999015 | + | 0.0443678i | \(0.0141274\pi\) |
0.537931 | + | 0.842989i | \(0.319206\pi\) | |||||||
\(128\) | 2.59808 | + | 1.50000i | 0.229640 | + | 0.132583i | ||||
\(129\) | 6.00000 | 0.528271 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −8.00000 | −0.698963 | −0.349482 | − | 0.936943i | \(-0.613642\pi\) | ||||
−0.349482 | + | 0.936943i | \(0.613642\pi\) | |||||||
\(132\) | −1.73205 | − | 1.00000i | −0.150756 | − | 0.0870388i | ||||
\(133\) | 10.3923 | + | 6.00000i | 0.901127 | + | 0.520266i | ||||
\(134\) | −1.00000 | − | 1.73205i | −0.0863868 | − | 0.149626i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −10.5000 | − | 18.1865i | −0.900368 | − | 1.55948i | ||||
\(137\) | 2.59808 | − | 1.50000i | 0.221969 | − | 0.128154i | −0.384893 | − | 0.922961i | \(-0.625762\pi\) |
0.606861 | + | 0.794808i | \(0.292428\pi\) | |||||||
\(138\) | 6.00000i | 0.510754i | ||||||||
\(139\) | 6.00000 | + | 10.3923i | 0.508913 | + | 0.881464i | 0.999947 | + | 0.0103230i | \(0.00328598\pi\) |
−0.491033 | + | 0.871141i | \(0.663381\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.00000 | − | 5.19615i | 0.252646 | − | 0.437595i | ||||
\(142\) | − | 6.00000i | − | 0.503509i | ||||||
\(143\) | −5.19615 | − | 5.00000i | −0.434524 | − | 0.418121i | ||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −5.50000 | + | 9.52628i | −0.455183 | + | 0.788400i | ||||
\(147\) | −2.59808 | + | 1.50000i | −0.214286 | + | 0.123718i | ||||
\(148\) | − | 1.00000i | − | 0.0821995i | ||||||
\(149\) | 1.50000 | + | 2.59808i | 0.122885 | + | 0.212843i | 0.920904 | − | 0.389789i | \(-0.127452\pi\) |
−0.798019 | + | 0.602632i | \(0.794119\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.00000 | −0.162758 | −0.0813788 | − | 0.996683i | \(-0.525932\pi\) | ||||
−0.0813788 | + | 0.996683i | \(0.525932\pi\) | |||||||
\(152\) | −15.5885 | + | 9.00000i | −1.26439 | + | 0.729996i | ||||
\(153\) | 6.06218 | + | 3.50000i | 0.490098 | + | 0.282958i | ||||
\(154\) | −2.00000 | + | 3.46410i | −0.161165 | + | 0.279145i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −3.50000 | − | 0.866025i | −0.280224 | − | 0.0693375i | ||||
\(157\) | 3.00000i | 0.239426i | 0.992809 | + | 0.119713i | \(0.0381975\pi\) | ||||
−0.992809 | + | 0.119713i | \(0.961803\pi\) | |||||||
\(158\) | 3.46410 | + | 2.00000i | 0.275589 | + | 0.159111i | ||||
\(159\) | 4.50000 | − | 7.79423i | 0.356873 | − | 0.618123i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −12.0000 | −0.945732 | ||||||||
\(162\) | −0.866025 | + | 0.500000i | −0.0680414 | + | 0.0392837i | ||||
\(163\) | −3.46410 | + | 2.00000i | −0.271329 | + | 0.156652i | −0.629492 | − | 0.777007i | \(-0.716737\pi\) |
0.358162 | + | 0.933659i | \(0.383403\pi\) | |||||||
\(164\) | 9.00000 | 0.702782 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.00000 | − | 12.1244i | 0.543305 | − | 0.941033i | ||||
\(167\) | 13.8564 | + | 8.00000i | 1.07224 | + | 0.619059i | 0.928793 | − | 0.370599i | \(-0.120848\pi\) |
0.143448 | + | 0.989658i | \(0.454181\pi\) | |||||||
\(168\) | 6.00000i | 0.462910i | ||||||||
\(169\) | −11.5000 | − | 6.06218i | −0.884615 | − | 0.466321i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.00000 | − | 5.19615i | 0.229416 | − | 0.397360i | ||||
\(172\) | −5.19615 | − | 3.00000i | −0.396203 | − | 0.228748i | ||||
\(173\) | −5.19615 | + | 3.00000i | −0.395056 | + | 0.228086i | −0.684349 | − | 0.729155i | \(-0.739913\pi\) |
0.289292 | + | 0.957241i | \(0.406580\pi\) | |||||||
\(174\) | −1.00000 | −0.0758098 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.00000 | − | 1.73205i | −0.0753778 | − | 0.130558i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −12.1244 | + | 7.00000i | −0.908759 | + | 0.524672i | ||||
\(179\) | −1.00000 | + | 1.73205i | −0.0747435 | + | 0.129460i | −0.900975 | − | 0.433872i | \(-0.857147\pi\) |
0.826231 | + | 0.563331i | \(0.190480\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.00000 | −0.520306 | −0.260153 | − | 0.965567i | \(-0.583773\pi\) | ||||
−0.260153 | + | 0.965567i | \(0.583773\pi\) | |||||||
\(182\) | −1.73205 | + | 7.00000i | −0.128388 | + | 0.518875i | ||||
\(183\) | − | 1.00000i | − | 0.0739221i | ||||||
\(184\) | 9.00000 | − | 15.5885i | 0.663489 | − | 1.14920i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 2.00000 | + | 3.46410i | 0.146647 | + | 0.254000i | ||||
\(187\) | − | 14.0000i | − | 1.02378i | ||||||
\(188\) | −5.19615 | + | 3.00000i | −0.378968 | + | 0.218797i | ||||
\(189\) | −1.00000 | − | 1.73205i | −0.0727393 | − | 0.125988i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.00000 | + | 3.46410i | 0.144715 | + | 0.250654i | 0.929267 | − | 0.369410i | \(-0.120440\pi\) |
−0.784552 | + | 0.620063i | \(0.787107\pi\) | |||||||
\(192\) | −6.06218 | − | 3.50000i | −0.437500 | − | 0.252591i | ||||
\(193\) | 7.79423 | + | 4.50000i | 0.561041 | + | 0.323917i | 0.753563 | − | 0.657376i | \(-0.228333\pi\) |
−0.192522 | + | 0.981293i | \(0.561667\pi\) | |||||||
\(194\) | 2.00000 | 0.143592 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.00000 | 0.214286 | ||||||||
\(197\) | 5.19615 | + | 3.00000i | 0.370211 | + | 0.213741i | 0.673550 | − | 0.739141i | \(-0.264768\pi\) |
−0.303340 | + | 0.952882i | \(0.598102\pi\) | |||||||
\(198\) | 1.73205 | + | 1.00000i | 0.123091 | + | 0.0710669i | ||||
\(199\) | 7.00000 | + | 12.1244i | 0.496217 | + | 0.859473i | 0.999990 | − | 0.00436292i | \(-0.00138876\pi\) |
−0.503774 | + | 0.863836i | \(0.668055\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.00000 | − | 1.73205i | −0.0705346 | − | 0.122169i | ||||
\(202\) | −2.59808 | + | 1.50000i | −0.182800 | + | 0.105540i | ||||
\(203\) | − | 2.00000i | − | 0.140372i | ||||||
\(204\) | −3.50000 | − | 6.06218i | −0.245049 | − | 0.424437i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −3.00000 | + | 5.19615i | −0.209020 | + | 0.362033i | ||||
\(207\) | 6.00000i | 0.417029i | ||||||||
\(208\) | −2.59808 | − | 2.50000i | −0.180144 | − | 0.173344i | ||||
\(209\) | −12.0000 | −0.830057 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.00000 | − | 6.92820i | 0.275371 | − | 0.476957i | −0.694857 | − | 0.719148i | \(-0.744533\pi\) |
0.970229 | + | 0.242190i | \(0.0778659\pi\) | |||||||
\(212\) | −7.79423 | + | 4.50000i | −0.535310 | + | 0.309061i | ||||
\(213\) | − | 6.00000i | − | 0.411113i | ||||||
\(214\) | −3.00000 | − | 5.19615i | −0.205076 | − | 0.355202i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 3.00000 | 0.204124 | ||||||||
\(217\) | −6.92820 | + | 4.00000i | −0.470317 | + | 0.271538i | ||||
\(218\) | 1.73205 | + | 1.00000i | 0.117309 | + | 0.0677285i | ||||
\(219\) | −5.50000 | + | 9.52628i | −0.371656 | + | 0.643726i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −7.00000 | − | 24.2487i | −0.470871 | − | 1.63114i | ||||
\(222\) | 1.00000i | 0.0671156i | ||||||||
\(223\) | −13.8564 | − | 8.00000i | −0.927894 | − | 0.535720i | −0.0417488 | − | 0.999128i | \(-0.513293\pi\) |
−0.886145 | + | 0.463409i | \(0.846626\pi\) | |||||||
\(224\) | 5.00000 | − | 8.66025i | 0.334077 | − | 0.578638i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −15.0000 | −0.997785 | ||||||||
\(227\) | 12.1244 | − | 7.00000i | 0.804722 | − | 0.464606i | −0.0403978 | − | 0.999184i | \(-0.512863\pi\) |
0.845120 | + | 0.534577i | \(0.179529\pi\) | |||||||
\(228\) | −5.19615 | + | 3.00000i | −0.344124 | + | 0.198680i | ||||
\(229\) | 22.0000 | 1.45380 | 0.726900 | − | 0.686743i | \(-0.240960\pi\) | ||||
0.726900 | + | 0.686743i | \(0.240960\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.00000 | + | 3.46410i | −0.131590 | + | 0.227921i | ||||
\(232\) | 2.59808 | + | 1.50000i | 0.170572 | + | 0.0984798i | ||||
\(233\) | 10.0000i | 0.655122i | 0.944830 | + | 0.327561i | \(0.106227\pi\) | ||||
−0.944830 | + | 0.327561i | \(0.893773\pi\) | |||||||
\(234\) | 3.50000 | + | 0.866025i | 0.228802 | + | 0.0566139i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 3.46410 | + | 2.00000i | 0.225018 | + | 0.129914i | ||||
\(238\) | −12.1244 | + | 7.00000i | −0.785905 | + | 0.453743i | ||||
\(239\) | −30.0000 | −1.94054 | −0.970269 | − | 0.242028i | \(-0.922188\pi\) | ||||
−0.970269 | + | 0.242028i | \(0.922188\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.50000 | − | 6.06218i | −0.225455 | − | 0.390499i | 0.731001 | − | 0.682376i | \(-0.239053\pi\) |
−0.956456 | + | 0.291877i | \(0.905720\pi\) | |||||||
\(242\) | 7.00000i | 0.449977i | ||||||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | −0.500000 | + | 0.866025i | −0.0320092 | + | 0.0554416i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −9.00000 | −0.573819 | ||||||||
\(247\) | −20.7846 | + | 6.00000i | −1.32249 | + | 0.381771i | ||||
\(248\) | − | 12.0000i | − | 0.762001i | ||||||
\(249\) | 7.00000 | − | 12.1244i | 0.443607 | − | 0.768350i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −6.00000 | − | 10.3923i | −0.378717 | − | 0.655956i | 0.612159 | − | 0.790735i | \(-0.290301\pi\) |
−0.990876 | + | 0.134778i | \(0.956968\pi\) | |||||||
\(252\) | 2.00000i | 0.125988i | ||||||||
\(253\) | 10.3923 | − | 6.00000i | 0.653359 | − | 0.377217i | ||||
\(254\) | 10.0000 | + | 17.3205i | 0.627456 | + | 1.08679i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 8.50000 | + | 14.7224i | 0.531250 | + | 0.920152i | ||||
\(257\) | −6.06218 | − | 3.50000i | −0.378148 | − | 0.218324i | 0.298864 | − | 0.954296i | \(-0.403392\pi\) |
−0.677012 | + | 0.735972i | \(0.736726\pi\) | |||||||
\(258\) | 5.19615 | + | 3.00000i | 0.323498 | + | 0.186772i | ||||
\(259\) | −2.00000 | −0.124274 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.00000 | −0.0618984 | ||||||||
\(262\) | −6.92820 | − | 4.00000i | −0.428026 | − | 0.247121i | ||||
\(263\) | 25.9808 | + | 15.0000i | 1.60204 | + | 0.924940i | 0.991078 | + | 0.133281i | \(0.0425514\pi\) |
0.610964 | + | 0.791658i | \(0.290782\pi\) | |||||||
\(264\) | −3.00000 | − | 5.19615i | −0.184637 | − | 0.319801i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 6.00000 | + | 10.3923i | 0.367884 | + | 0.637193i | ||||
\(267\) | −12.1244 | + | 7.00000i | −0.741999 | + | 0.428393i | ||||
\(268\) | 2.00000i | 0.122169i | ||||||||
\(269\) | −7.00000 | − | 12.1244i | −0.426798 | − | 0.739235i | 0.569789 | − | 0.821791i | \(-0.307025\pi\) |
−0.996586 | + | 0.0825561i | \(0.973692\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(272\) | − | 7.00000i | − | 0.424437i | ||||||
\(273\) | −1.73205 | + | 7.00000i | −0.104828 | + | 0.423659i | ||||
\(274\) | 3.00000 | 0.181237 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 3.00000 | − | 5.19615i | 0.180579 | − | 0.312772i | ||||
\(277\) | 26.8468 | − | 15.5000i | 1.61307 | − | 0.931305i | 0.624413 | − | 0.781094i | \(-0.285338\pi\) |
0.988654 | − | 0.150210i | \(-0.0479951\pi\) | |||||||
\(278\) | 12.0000i | 0.719712i | ||||||||
\(279\) | 2.00000 | + | 3.46410i | 0.119737 | + | 0.207390i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −19.0000 | −1.13344 | −0.566722 | − | 0.823909i | \(-0.691789\pi\) | ||||
−0.566722 | + | 0.823909i | \(0.691789\pi\) | |||||||
\(282\) | 5.19615 | − | 3.00000i | 0.309426 | − | 0.178647i | ||||
\(283\) | 15.5885 | + | 9.00000i | 0.926638 | + | 0.534994i | 0.885747 | − | 0.464169i | \(-0.153647\pi\) |
0.0408910 | + | 0.999164i | \(0.486980\pi\) | |||||||
\(284\) | −3.00000 | + | 5.19615i | −0.178017 | + | 0.308335i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.00000 | − | 6.92820i | −0.118262 | − | 0.409673i | ||||
\(287\) | − | 18.0000i | − | 1.06251i | ||||||
\(288\) | −4.33013 | − | 2.50000i | −0.255155 | − | 0.147314i | ||||
\(289\) | 16.0000 | − | 27.7128i | 0.941176 | − | 1.63017i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.00000 | 0.117242 | ||||||||
\(292\) | 9.52628 | − | 5.50000i | 0.557483 | − | 0.321863i | ||||
\(293\) | −7.79423 | + | 4.50000i | −0.455344 | + | 0.262893i | −0.710084 | − | 0.704117i | \(-0.751343\pi\) |
0.254741 | + | 0.967009i | \(0.418010\pi\) | |||||||
\(294\) | −3.00000 | −0.174964 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.50000 | − | 2.59808i | 0.0871857 | − | 0.151010i | ||||
\(297\) | 1.73205 | + | 1.00000i | 0.100504 | + | 0.0580259i | ||||
\(298\) | 3.00000i | 0.173785i | ||||||||
\(299\) | 15.0000 | − | 15.5885i | 0.867472 | − | 0.901504i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6.00000 | + | 10.3923i | −0.345834 | + | 0.599002i | ||||
\(302\) | −1.73205 | − | 1.00000i | −0.0996683 | − | 0.0575435i | ||||
\(303\) | −2.59808 | + | 1.50000i | −0.149256 | + | 0.0861727i | ||||
\(304\) | −6.00000 | −0.344124 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 3.50000 | + | 6.06218i | 0.200082 | + | 0.346552i | ||||
\(307\) | − | 14.0000i | − | 0.799022i | −0.916728 | − | 0.399511i | \(-0.869180\pi\) | ||
0.916728 | − | 0.399511i | \(-0.130820\pi\) | |||||||
\(308\) | 3.46410 | − | 2.00000i | 0.197386 | − | 0.113961i | ||||
\(309\) | −3.00000 | + | 5.19615i | −0.170664 | + | 0.295599i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 18.0000 | 1.02069 | 0.510343 | − | 0.859971i | \(-0.329518\pi\) | ||||
0.510343 | + | 0.859971i | \(0.329518\pi\) | |||||||
\(312\) | −7.79423 | − | 7.50000i | −0.441261 | − | 0.424604i | ||||
\(313\) | 6.00000i | 0.339140i | 0.985518 | + | 0.169570i | \(0.0542379\pi\) | ||||
−0.985518 | + | 0.169570i | \(0.945762\pi\) | |||||||
\(314\) | −1.50000 | + | 2.59808i | −0.0846499 | + | 0.146618i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.00000 | − | 3.46410i | −0.112509 | − | 0.194871i | ||||
\(317\) | 25.0000i | 1.40414i | 0.712108 | + | 0.702070i | \(0.247741\pi\) | ||||
−0.712108 | + | 0.702070i | \(0.752259\pi\) | |||||||
\(318\) | 7.79423 | − | 4.50000i | 0.437079 | − | 0.252347i | ||||
\(319\) | 1.00000 | + | 1.73205i | 0.0559893 | + | 0.0969762i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −3.00000 | − | 5.19615i | −0.167444 | − | 0.290021i | ||||
\(322\) | −10.3923 | − | 6.00000i | −0.579141 | − | 0.334367i | ||||
\(323\) | −36.3731 | − | 21.0000i | −2.02385 | − | 1.16847i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −4.00000 | −0.221540 | ||||||||
\(327\) | 1.73205 | + | 1.00000i | 0.0957826 | + | 0.0553001i | ||||
\(328\) | 23.3827 | + | 13.5000i | 1.29109 | + | 0.745413i | ||||
\(329\) | 6.00000 | + | 10.3923i | 0.330791 | + | 0.572946i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.00000 | + | 3.46410i | 0.109930 | + | 0.190404i | 0.915742 | − | 0.401768i | \(-0.131604\pi\) |
−0.805812 | + | 0.592172i | \(0.798271\pi\) | |||||||
\(332\) | −12.1244 | + | 7.00000i | −0.665410 | + | 0.384175i | ||||
\(333\) | 1.00000i | 0.0547997i | ||||||||
\(334\) | 8.00000 | + | 13.8564i | 0.437741 | + | 0.758189i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −1.00000 | + | 1.73205i | −0.0545545 | + | 0.0944911i | ||||
\(337\) | 33.0000i | 1.79762i | 0.438334 | + | 0.898812i | \(0.355569\pi\) | ||||
−0.438334 | + | 0.898812i | \(0.644431\pi\) | |||||||
\(338\) | −6.92820 | − | 11.0000i | −0.376845 | − | 0.598321i | ||||
\(339\) | −15.0000 | −0.814688 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.00000 | − | 6.92820i | 0.216612 | − | 0.375183i | ||||
\(342\) | 5.19615 | − | 3.00000i | 0.280976 | − | 0.162221i | ||||
\(343\) | − | 20.0000i | − | 1.07990i | ||||||
\(344\) | −9.00000 | − | 15.5885i | −0.485247 | − | 0.840473i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.00000 | −0.322562 | ||||||||
\(347\) | −15.5885 | + | 9.00000i | −0.836832 | + | 0.483145i | −0.856186 | − | 0.516667i | \(-0.827172\pi\) |
0.0193540 | + | 0.999813i | \(0.493839\pi\) | |||||||
\(348\) | 0.866025 | + | 0.500000i | 0.0464238 | + | 0.0268028i | ||||
\(349\) | −13.0000 | + | 22.5167i | −0.695874 | + | 1.20529i | 0.274011 | + | 0.961727i | \(0.411649\pi\) |
−0.969885 | + | 0.243563i | \(0.921684\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.50000 | + | 0.866025i | 0.186816 | + | 0.0462250i | ||||
\(352\) | 10.0000i | 0.533002i | ||||||||
\(353\) | 9.52628 | + | 5.50000i | 0.507033 | + | 0.292735i | 0.731613 | − | 0.681720i | \(-0.238768\pi\) |
−0.224580 | + | 0.974456i | \(0.572101\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 14.0000 | 0.741999 | ||||||||
\(357\) | −12.1244 | + | 7.00000i | −0.641689 | + | 0.370479i | ||||
\(358\) | −1.73205 | + | 1.00000i | −0.0915417 | + | 0.0528516i | ||||
\(359\) | 18.0000 | 0.950004 | 0.475002 | − | 0.879985i | \(-0.342447\pi\) | ||||
0.475002 | + | 0.879985i | \(0.342447\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.50000 | + | 14.7224i | −0.447368 | + | 0.774865i | ||||
\(362\) | −6.06218 | − | 3.50000i | −0.318621 | − | 0.183956i | ||||
\(363\) | 7.00000i | 0.367405i | ||||||||
\(364\) | 5.00000 | − | 5.19615i | 0.262071 | − | 0.272352i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.500000 | − | 0.866025i | 0.0261354 | − | 0.0452679i | ||||
\(367\) | 8.66025 | + | 5.00000i | 0.452062 | + | 0.260998i | 0.708700 | − | 0.705509i | \(-0.249282\pi\) |
−0.256639 | + | 0.966507i | \(0.582615\pi\) | |||||||
\(368\) | 5.19615 | − | 3.00000i | 0.270868 | − | 0.156386i | ||||
\(369\) | −9.00000 | −0.468521 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 9.00000 | + | 15.5885i | 0.467257 | + | 0.809312i | ||||
\(372\) | − | 4.00000i | − | 0.207390i | ||||||
\(373\) | −9.52628 | + | 5.50000i | −0.493252 | + | 0.284779i | −0.725923 | − | 0.687776i | \(-0.758587\pi\) |
0.232671 | + | 0.972556i | \(0.425254\pi\) | |||||||
\(374\) | 7.00000 | − | 12.1244i | 0.361961 | − | 0.626936i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −18.0000 | −0.928279 | ||||||||
\(377\) | 2.59808 | + | 2.50000i | 0.133808 | + | 0.128757i | ||||
\(378\) | − | 2.00000i | − | 0.102869i | ||||||
\(379\) | −18.0000 | + | 31.1769i | −0.924598 | + | 1.60145i | −0.132391 | + | 0.991198i | \(0.542266\pi\) |
−0.792207 | + | 0.610253i | \(0.791068\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 10.0000 | + | 17.3205i | 0.512316 | + | 0.887357i | ||||
\(382\) | 4.00000i | 0.204658i | ||||||||
\(383\) | 6.92820 | − | 4.00000i | 0.354015 | − | 0.204390i | −0.312437 | − | 0.949938i | \(-0.601145\pi\) |
0.666452 | + | 0.745548i | \(0.267812\pi\) | |||||||
\(384\) | 1.50000 | + | 2.59808i | 0.0765466 | + | 0.132583i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.50000 | + | 7.79423i | 0.229044 | + | 0.396716i | ||||
\(387\) | 5.19615 | + | 3.00000i | 0.264135 | + | 0.152499i | ||||
\(388\) | −1.73205 | − | 1.00000i | −0.0879316 | − | 0.0507673i | ||||
\(389\) | −19.0000 | −0.963338 | −0.481669 | − | 0.876353i | \(-0.659969\pi\) | ||||
−0.481669 | + | 0.876353i | \(0.659969\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 42.0000 | 2.12403 | ||||||||
\(392\) | 7.79423 | + | 4.50000i | 0.393668 | + | 0.227284i | ||||
\(393\) | −6.92820 | − | 4.00000i | −0.349482 | − | 0.201773i | ||||
\(394\) | 3.00000 | + | 5.19615i | 0.151138 | + | 0.261778i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −1.00000 | − | 1.73205i | −0.0502519 | − | 0.0870388i | ||||
\(397\) | 29.4449 | − | 17.0000i | 1.47780 | − | 0.853206i | 0.478110 | − | 0.878300i | \(-0.341322\pi\) |
0.999685 | + | 0.0250943i | \(0.00798860\pi\) | |||||||
\(398\) | 14.0000i | 0.701757i | ||||||||
\(399\) | 6.00000 | + | 10.3923i | 0.300376 | + | 0.520266i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −0.500000 | + | 0.866025i | −0.0249688 | + | 0.0432472i | −0.878240 | − | 0.478220i | \(-0.841282\pi\) |
0.853271 | + | 0.521468i | \(0.174615\pi\) | |||||||
\(402\) | − | 2.00000i | − | 0.0997509i | ||||||
\(403\) | 3.46410 | − | 14.0000i | 0.172559 | − | 0.697390i | ||||
\(404\) | 3.00000 | 0.149256 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.00000 | − | 1.73205i | 0.0496292 | − | 0.0859602i | ||||
\(407\) | 1.73205 | − | 1.00000i | 0.0858546 | − | 0.0495682i | ||||
\(408\) | − | 21.0000i | − | 1.03965i | ||||||
\(409\) | 3.50000 | + | 6.06218i | 0.173064 | + | 0.299755i | 0.939490 | − | 0.342578i | \(-0.111300\pi\) |
−0.766426 | + | 0.642333i | \(0.777967\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.00000 | 0.147979 | ||||||||
\(412\) | 5.19615 | − | 3.00000i | 0.255996 | − | 0.147799i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −3.00000 | + | 5.19615i | −0.147442 | + | 0.255377i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 5.00000 | + | 17.3205i | 0.245145 | + | 0.849208i | ||||
\(417\) | 12.0000i | 0.587643i | ||||||||
\(418\) | −10.3923 | − | 6.00000i | −0.508304 | − | 0.293470i | ||||
\(419\) | 8.00000 | − | 13.8564i | 0.390826 | − | 0.676930i | −0.601733 | − | 0.798697i | \(-0.705523\pi\) |
0.992559 | + | 0.121768i | \(0.0388562\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −19.0000 | −0.926003 | −0.463002 | − | 0.886357i | \(-0.653228\pi\) | ||||
−0.463002 | + | 0.886357i | \(0.653228\pi\) | |||||||
\(422\) | 6.92820 | − | 4.00000i | 0.337260 | − | 0.194717i | ||||
\(423\) | 5.19615 | − | 3.00000i | 0.252646 | − | 0.145865i | ||||
\(424\) | −27.0000 | −1.31124 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 3.00000 | − | 5.19615i | 0.145350 | − | 0.251754i | ||||
\(427\) | 1.73205 | + | 1.00000i | 0.0838198 | + | 0.0483934i | ||||
\(428\) | 6.00000i | 0.290021i | ||||||||
\(429\) | −2.00000 | − | 6.92820i | −0.0965609 | − | 0.334497i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 15.0000 | − | 25.9808i | 0.722525 | − | 1.25145i | −0.237460 | − | 0.971397i | \(-0.576315\pi\) |
0.959985 | − | 0.280052i | \(-0.0903517\pi\) | |||||||
\(432\) | 0.866025 | + | 0.500000i | 0.0416667 | + | 0.0240563i | ||||
\(433\) | 16.4545 | − | 9.50000i | 0.790752 | − | 0.456541i | −0.0494752 | − | 0.998775i | \(-0.515755\pi\) |
0.840227 | + | 0.542234i | \(0.182422\pi\) | |||||||
\(434\) | −8.00000 | −0.384012 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.00000 | − | 1.73205i | −0.0478913 | − | 0.0829502i | ||||
\(437\) | − | 36.0000i | − | 1.72211i | ||||||
\(438\) | −9.52628 | + | 5.50000i | −0.455183 | + | 0.262800i | ||||
\(439\) | 7.00000 | − | 12.1244i | 0.334092 | − | 0.578664i | −0.649218 | − | 0.760602i | \(-0.724904\pi\) |
0.983310 | + | 0.181938i | \(0.0582371\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.00000 | −0.142857 | ||||||||
\(442\) | 6.06218 | − | 24.5000i | 0.288348 | − | 1.16535i | ||||
\(443\) | − | 4.00000i | − | 0.190046i | −0.995475 | − | 0.0950229i | \(-0.969708\pi\) | ||
0.995475 | − | 0.0950229i | \(-0.0302924\pi\) | |||||||
\(444\) | 0.500000 | − | 0.866025i | 0.0237289 | − | 0.0410997i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −8.00000 | − | 13.8564i | −0.378811 | − | 0.656120i | ||||
\(447\) | 3.00000i | 0.141895i | ||||||||
\(448\) | 12.1244 | − | 7.00000i | 0.572822 | − | 0.330719i | ||||
\(449\) | 17.0000 | + | 29.4449i | 0.802280 | + | 1.38959i | 0.918112 | + | 0.396320i | \(0.129713\pi\) |
−0.115833 | + | 0.993269i | \(0.536954\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.00000 | + | 15.5885i | 0.423793 | + | 0.734032i | ||||
\(452\) | 12.9904 | + | 7.50000i | 0.611016 | + | 0.352770i | ||||
\(453\) | −1.73205 | − | 1.00000i | −0.0813788 | − | 0.0469841i | ||||
\(454\) | 14.0000 | 0.657053 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −18.0000 | −0.842927 | ||||||||
\(457\) | −11.2583 | − | 6.50000i | −0.526642 | − | 0.304057i | 0.213006 | − | 0.977051i | \(-0.431675\pi\) |
−0.739648 | + | 0.672994i | \(0.765008\pi\) | |||||||
\(458\) | 19.0526 | + | 11.0000i | 0.890268 | + | 0.513996i | ||||
\(459\) | 3.50000 | + | 6.06218i | 0.163366 | + | 0.282958i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −9.50000 | − | 16.4545i | −0.442459 | − | 0.766362i | 0.555412 | − | 0.831575i | \(-0.312560\pi\) |
−0.997871 | + | 0.0652135i | \(0.979227\pi\) | |||||||
\(462\) | −3.46410 | + | 2.00000i | −0.161165 | + | 0.0930484i | ||||
\(463\) | − | 26.0000i | − | 1.20832i | −0.796862 | − | 0.604161i | \(-0.793508\pi\) | ||
0.796862 | − | 0.604161i | \(-0.206492\pi\) | |||||||
\(464\) | 0.500000 | + | 0.866025i | 0.0232119 | + | 0.0402042i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5.00000 | + | 8.66025i | −0.231621 | + | 0.401179i | ||||
\(467\) | − | 6.00000i | − | 0.277647i | −0.990317 | − | 0.138823i | \(-0.955668\pi\) | ||
0.990317 | − | 0.138823i | \(-0.0443321\pi\) | |||||||
\(468\) | −2.59808 | − | 2.50000i | −0.120096 | − | 0.115563i | ||||
\(469\) | 4.00000 | 0.184703 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.50000 | + | 2.59808i | −0.0691164 | + | 0.119713i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | − | 12.0000i | − | 0.551761i | ||||||
\(474\) | 2.00000 | + | 3.46410i | 0.0918630 | + | 0.159111i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 14.0000 | 0.641689 | ||||||||
\(477\) | 7.79423 | − | 4.50000i | 0.356873 | − | 0.206041i | ||||
\(478\) | −25.9808 | − | 15.0000i | −1.18833 | − | 0.686084i | ||||
\(479\) | 12.0000 | − | 20.7846i | 0.548294 | − | 0.949673i | −0.450098 | − | 0.892979i | \(-0.648611\pi\) |
0.998392 | − | 0.0566937i | \(-0.0180558\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.50000 | − | 2.59808i | 0.113990 | − | 0.118462i | ||||
\(482\) | − | 7.00000i | − | 0.318841i | ||||||
\(483\) | −10.3923 | − | 6.00000i | −0.472866 | − | 0.273009i | ||||
\(484\) | 3.50000 | − | 6.06218i | 0.159091 | − | 0.275554i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −1.00000 | −0.0453609 | ||||||||
\(487\) | −15.5885 | + | 9.00000i | −0.706380 | + | 0.407829i | −0.809719 | − | 0.586817i | \(-0.800381\pi\) |
0.103339 | + | 0.994646i | \(0.467047\pi\) | |||||||
\(488\) | −2.59808 | + | 1.50000i | −0.117609 | + | 0.0679018i | ||||
\(489\) | −4.00000 | −0.180886 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −3.00000 | + | 5.19615i | −0.135388 | + | 0.234499i | −0.925746 | − | 0.378147i | \(-0.876561\pi\) |
0.790358 | + | 0.612646i | \(0.209895\pi\) | |||||||
\(492\) | 7.79423 | + | 4.50000i | 0.351391 | + | 0.202876i | ||||
\(493\) | 7.00000i | 0.315264i | ||||||||
\(494\) | −21.0000 | − | 5.19615i | −0.944835 | − | 0.233786i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.00000 | − | 3.46410i | 0.0898027 | − | 0.155543i | ||||
\(497\) | 10.3923 | + | 6.00000i | 0.466159 | + | 0.269137i | ||||
\(498\) | 12.1244 | − | 7.00000i | 0.543305 | − | 0.313678i | ||||
\(499\) | −24.0000 | −1.07439 | −0.537194 | − | 0.843459i | \(-0.680516\pi\) | ||||
−0.537194 | + | 0.843459i | \(0.680516\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 8.00000 | + | 13.8564i | 0.357414 | + | 0.619059i | ||||
\(502\) | − | 12.0000i | − | 0.535586i | ||||||
\(503\) | −1.73205 | + | 1.00000i | −0.0772283 | + | 0.0445878i | −0.538117 | − | 0.842870i | \(-0.680864\pi\) |
0.460889 | + | 0.887458i | \(0.347531\pi\) | |||||||
\(504\) | −3.00000 | + | 5.19615i | −0.133631 | + | 0.231455i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 12.0000 | 0.533465 | ||||||||
\(507\) | −6.92820 | − | 11.0000i | −0.307692 | − | 0.488527i | ||||
\(508\) | − | 20.0000i | − | 0.887357i | ||||||
\(509\) | 3.50000 | − | 6.06218i | 0.155135 | − | 0.268701i | −0.777973 | − | 0.628297i | \(-0.783752\pi\) |
0.933108 | + | 0.359596i | \(0.117085\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.0000 | − | 19.0526i | −0.486611 | − | 0.842836i | ||||
\(512\) | 11.0000i | 0.486136i | ||||||||
\(513\) | 5.19615 | − | 3.00000i | 0.229416 | − | 0.132453i | ||||
\(514\) | −3.50000 | − | 6.06218i | −0.154378 | − | 0.267391i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −3.00000 | − | 5.19615i | −0.132068 | − | 0.228748i | ||||
\(517\) | −10.3923 | − | 6.00000i | −0.457053 | − | 0.263880i | ||||
\(518\) | −1.73205 | − | 1.00000i | −0.0761019 | − | 0.0439375i | ||||
\(519\) | −6.00000 | −0.263371 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3.00000 | −0.131432 | −0.0657162 | − | 0.997838i | \(-0.520933\pi\) | ||||
−0.0657162 | + | 0.997838i | \(0.520933\pi\) | |||||||
\(522\) | −0.866025 | − | 0.500000i | −0.0379049 | − | 0.0218844i | ||||
\(523\) | −12.1244 | − | 7.00000i | −0.530161 | − | 0.306089i | 0.210921 | − | 0.977503i | \(-0.432354\pi\) |
−0.741082 | + | 0.671414i | \(0.765687\pi\) | |||||||
\(524\) | 4.00000 | + | 6.92820i | 0.174741 | + | 0.302660i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 15.0000 | + | 25.9808i | 0.654031 | + | 1.13282i | ||||
\(527\) | 24.2487 | − | 14.0000i | 1.05629 | − | 0.609850i | ||||
\(528\) | − | 2.00000i | − | 0.0870388i | ||||||
\(529\) | 6.50000 | + | 11.2583i | 0.282609 | + | 0.489493i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | − | 12.0000i | − | 0.520266i | ||||||
\(533\) | 23.3827 | + | 22.5000i | 1.01282 | + | 0.974583i | ||||
\(534\) | −14.0000 | −0.605839 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −3.00000 | + | 5.19615i | −0.129580 | + | 0.224440i | ||||
\(537\) | −1.73205 | + | 1.00000i | −0.0747435 | + | 0.0431532i | ||||
\(538\) | − | 14.0000i | − | 0.603583i | ||||||
\(539\) | 3.00000 | + | 5.19615i | 0.129219 | + | 0.223814i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 45.0000 | 1.93470 | 0.967351 | − | 0.253442i | \(-0.0815627\pi\) | ||||
0.967351 | + | 0.253442i | \(0.0815627\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −6.06218 | − | 3.50000i | −0.260153 | − | 0.150199i | ||||
\(544\) | −17.5000 | + | 30.3109i | −0.750306 | + | 1.29957i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −5.00000 | + | 5.19615i | −0.213980 | + | 0.222375i | ||||
\(547\) | 26.0000i | 1.11168i | 0.831289 | + | 0.555840i | \(0.187603\pi\) | ||||
−0.831289 | + | 0.555840i | \(0.812397\pi\) | |||||||
\(548\) | −2.59808 | − | 1.50000i | −0.110984 | − | 0.0640768i | ||||
\(549\) | 0.500000 | − | 0.866025i | 0.0213395 | − | 0.0369611i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.00000 | 0.255609 | ||||||||
\(552\) | 15.5885 | − | 9.00000i | 0.663489 | − | 0.383065i | ||||
\(553\) | −6.92820 | + | 4.00000i | −0.294617 | + | 0.170097i | ||||
\(554\) | 31.0000 | 1.31706 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.00000 | − | 10.3923i | 0.254457 | − | 0.440732i | ||||
\(557\) | −7.79423 | − | 4.50000i | −0.330252 | − | 0.190671i | 0.325701 | − | 0.945473i | \(-0.394400\pi\) |
−0.655953 | + | 0.754802i | \(0.727733\pi\) | |||||||
\(558\) | 4.00000i | 0.169334i | ||||||||
\(559\) | −6.00000 | − | 20.7846i | −0.253773 | − | 0.879095i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 7.00000 | − | 12.1244i | 0.295540 | − | 0.511891i | ||||
\(562\) | −16.4545 | − | 9.50000i | −0.694090 | − | 0.400733i | ||||
\(563\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(564\) | −6.00000 | −0.252646 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 9.00000 | + | 15.5885i | 0.378298 | + | 0.655232i | ||||
\(567\) | − | 2.00000i | − | 0.0839921i | ||||||
\(568\) | −15.5885 | + | 9.00000i | −0.654077 | + | 0.377632i | ||||
\(569\) | 11.0000 | − | 19.0526i | 0.461144 | − | 0.798725i | −0.537874 | − | 0.843025i | \(-0.680772\pi\) |
0.999018 | + | 0.0443003i | \(0.0141058\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 26.0000 | 1.08807 | 0.544033 | − | 0.839064i | \(-0.316897\pi\) | ||||
0.544033 | + | 0.839064i | \(0.316897\pi\) | |||||||
\(572\) | −1.73205 | + | 7.00000i | −0.0724207 | + | 0.292685i | ||||
\(573\) | 4.00000i | 0.167102i | ||||||||
\(574\) | 9.00000 | − | 15.5885i | 0.375653 | − | 0.650650i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −3.50000 | − | 6.06218i | −0.145833 | − | 0.252591i | ||||
\(577\) | − | 11.0000i | − | 0.457936i | −0.973434 | − | 0.228968i | \(-0.926465\pi\) | ||
0.973434 | − | 0.228968i | \(-0.0735351\pi\) | |||||||
\(578\) | 27.7128 | − | 16.0000i | 1.15270 | − | 0.665512i | ||||
\(579\) | 4.50000 | + | 7.79423i | 0.187014 | + | 0.323917i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 14.0000 | + | 24.2487i | 0.580818 | + | 1.00601i | ||||
\(582\) | 1.73205 | + | 1.00000i | 0.0717958 | + | 0.0414513i | ||||
\(583\) | −15.5885 | − | 9.00000i | −0.645608 | − | 0.372742i | ||||
\(584\) | 33.0000 | 1.36555 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −9.00000 | −0.371787 | ||||||||
\(587\) | 13.8564 | + | 8.00000i | 0.571915 | + | 0.330195i | 0.757914 | − | 0.652355i | \(-0.226219\pi\) |
−0.185999 | + | 0.982550i | \(0.559552\pi\) | |||||||
\(588\) | 2.59808 | + | 1.50000i | 0.107143 | + | 0.0618590i | ||||
\(589\) | −12.0000 | − | 20.7846i | −0.494451 | − | 0.856415i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.00000 | + | 5.19615i | 0.123404 | + | 0.213741i | ||||
\(592\) | 0.866025 | − | 0.500000i | 0.0355934 | − | 0.0205499i | ||||
\(593\) | 13.0000i | 0.533846i | 0.963718 | + | 0.266923i | \(0.0860069\pi\) | ||||
−0.963718 | + | 0.266923i | \(0.913993\pi\) | |||||||
\(594\) | 1.00000 | + | 1.73205i | 0.0410305 | + | 0.0710669i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.50000 | − | 2.59808i | 0.0614424 | − | 0.106421i | ||||
\(597\) | 14.0000i | 0.572982i | ||||||||
\(598\) | 20.7846 | − | 6.00000i | 0.849946 | − | 0.245358i | ||||
\(599\) | 16.0000 | 0.653742 | 0.326871 | − | 0.945069i | \(-0.394006\pi\) | ||||
0.326871 | + | 0.945069i | \(0.394006\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.50000 | − | 4.33013i | 0.101977 | − | 0.176630i | −0.810522 | − | 0.585708i | \(-0.800816\pi\) |
0.912499 | + | 0.409079i | \(0.134150\pi\) | |||||||
\(602\) | −10.3923 | + | 6.00000i | −0.423559 | + | 0.244542i | ||||
\(603\) | − | 2.00000i | − | 0.0814463i | ||||||
\(604\) | 1.00000 | + | 1.73205i | 0.0406894 | + | 0.0704761i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −3.00000 | −0.121867 | ||||||||
\(607\) | −6.92820 | + | 4.00000i | −0.281207 | + | 0.162355i | −0.633970 | − | 0.773358i | \(-0.718576\pi\) |
0.352763 | + | 0.935713i | \(0.385242\pi\) | |||||||
\(608\) | 25.9808 | + | 15.0000i | 1.05366 | + | 0.608330i | ||||
\(609\) | 1.00000 | − | 1.73205i | 0.0405220 | − | 0.0701862i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −21.0000 | − | 5.19615i | −0.849569 | − | 0.210214i | ||||
\(612\) | − | 7.00000i | − | 0.282958i | ||||||
\(613\) | 19.9186 | + | 11.5000i | 0.804504 | + | 0.464481i | 0.845044 | − | 0.534697i | \(-0.179574\pi\) |
−0.0405396 | + | 0.999178i | \(0.512908\pi\) | |||||||
\(614\) | 7.00000 | − | 12.1244i | 0.282497 | − | 0.489299i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 12.0000 | 0.483494 | ||||||||
\(617\) | −11.2583 | + | 6.50000i | −0.453243 | + | 0.261680i | −0.709199 | − | 0.705008i | \(-0.750943\pi\) |
0.255956 | + | 0.966689i | \(0.417610\pi\) | |||||||
\(618\) | −5.19615 | + | 3.00000i | −0.209020 | + | 0.120678i | ||||
\(619\) | 24.0000 | 0.964641 | 0.482321 | − | 0.875995i | \(-0.339794\pi\) | ||||
0.482321 | + | 0.875995i | \(0.339794\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.00000 | + | 5.19615i | −0.120386 | + | 0.208514i | ||||
\(622\) | 15.5885 | + | 9.00000i | 0.625040 | + | 0.360867i | ||||
\(623\) | − | 28.0000i | − | 1.12180i | ||||||
\(624\) | −1.00000 | − | 3.46410i | −0.0400320 | − | 0.138675i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −3.00000 | + | 5.19615i | −0.119904 | + | 0.207680i | ||||
\(627\) | −10.3923 | − | 6.00000i | −0.415029 | − | 0.239617i | ||||
\(628\) | 2.59808 | − | 1.50000i | 0.103675 | − | 0.0598565i | ||||
\(629\) | 7.00000 | 0.279108 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.0000 | − | 17.3205i | −0.398094 | − | 0.689519i | 0.595397 | − | 0.803432i | \(-0.296995\pi\) |
−0.993491 | + | 0.113913i | \(0.963661\pi\) | |||||||
\(632\) | − | 12.0000i | − | 0.477334i | ||||||
\(633\) | 6.92820 | − | 4.00000i | 0.275371 | − | 0.158986i | ||||
\(634\) | −12.5000 | + | 21.6506i | −0.496438 | + | 0.859857i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −9.00000 | −0.356873 | ||||||||
\(637\) | 7.79423 | + | 7.50000i | 0.308819 | + | 0.297161i | ||||
\(638\) | 2.00000i | 0.0791808i | ||||||||
\(639\) | 3.00000 | − | 5.19615i | 0.118678 | − | 0.205557i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 15.5000 | + | 26.8468i | 0.612213 | + | 1.06038i | 0.990867 | + | 0.134846i | \(0.0430539\pi\) |
−0.378653 | + | 0.925539i | \(0.623613\pi\) | |||||||
\(642\) | − | 6.00000i | − | 0.236801i | ||||||
\(643\) | −13.8564 | + | 8.00000i | −0.546443 | + | 0.315489i | −0.747686 | − | 0.664052i | \(-0.768835\pi\) |
0.201243 | + | 0.979541i | \(0.435502\pi\) | |||||||
\(644\) | 6.00000 | + | 10.3923i | 0.236433 | + | 0.409514i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −21.0000 | − | 36.3731i | −0.826234 | − | 1.43108i | ||||
\(647\) | −27.7128 | − | 16.0000i | −1.08950 | − | 0.629025i | −0.156059 | − | 0.987748i | \(-0.549879\pi\) |
−0.933444 | + | 0.358723i | \(0.883212\pi\) | |||||||
\(648\) | 2.59808 | + | 1.50000i | 0.102062 | + | 0.0589256i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −8.00000 | −0.313545 | ||||||||
\(652\) | 3.46410 | + | 2.00000i | 0.135665 | + | 0.0783260i | ||||
\(653\) | 5.19615 | + | 3.00000i | 0.203341 | + | 0.117399i | 0.598213 | − | 0.801337i | \(-0.295878\pi\) |
−0.394872 | + | 0.918736i | \(0.629211\pi\) | |||||||
\(654\) | 1.00000 | + | 1.73205i | 0.0391031 | + | 0.0677285i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 4.50000 | + | 7.79423i | 0.175695 | + | 0.304314i | ||||
\(657\) | −9.52628 | + | 5.50000i | −0.371656 | + | 0.214575i | ||||
\(658\) | 12.0000i | 0.467809i | ||||||||
\(659\) | −4.00000 | − | 6.92820i | −0.155818 | − | 0.269884i | 0.777539 | − | 0.628835i | \(-0.216468\pi\) |
−0.933357 | + | 0.358951i | \(0.883135\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −22.5000 | + | 38.9711i | −0.875149 | + | 1.51580i | −0.0185442 | + | 0.999828i | \(0.505903\pi\) |
−0.856604 | + | 0.515974i | \(0.827430\pi\) | |||||||
\(662\) | 4.00000i | 0.155464i | ||||||||
\(663\) | 6.06218 | − | 24.5000i | 0.235435 | − | 0.951501i | ||||
\(664\) | −42.0000 | −1.62992 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.500000 | + | 0.866025i | −0.0193746 | + | 0.0335578i | ||||
\(667\) | −5.19615 | + | 3.00000i | −0.201196 | + | 0.116160i | ||||
\(668\) | − | 16.0000i | − | 0.619059i | ||||||
\(669\) | −8.00000 | − | 13.8564i | −0.309298 | − | 0.535720i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.00000 | −0.0772091 | ||||||||
\(672\) | 8.66025 | − | 5.00000i | 0.334077 | − | 0.192879i | ||||
\(673\) | 25.1147 | + | 14.5000i | 0.968102 | + | 0.558934i | 0.898657 | − | 0.438652i | \(-0.144544\pi\) |
0.0694449 | + | 0.997586i | \(0.477877\pi\) | |||||||
\(674\) | −16.5000 | + | 28.5788i | −0.635556 | + | 1.10082i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.500000 | + | 12.9904i | 0.0192308 | + | 0.499630i | ||||
\(677\) | − | 34.0000i | − | 1.30673i | −0.757045 | − | 0.653363i | \(-0.773358\pi\) | ||
0.757045 | − | 0.653363i | \(-0.226642\pi\) | |||||||
\(678\) | −12.9904 | − | 7.50000i | −0.498893 | − | 0.288036i | ||||
\(679\) | −2.00000 | + | 3.46410i | −0.0767530 | + | 0.132940i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 14.0000 | 0.536481 | ||||||||
\(682\) | 6.92820 | − | 4.00000i | 0.265295 | − | 0.153168i | ||||
\(683\) | −20.7846 | + | 12.0000i | −0.795301 | + | 0.459167i | −0.841825 | − | 0.539750i | \(-0.818519\pi\) |
0.0465244 | + | 0.998917i | \(0.485185\pi\) | |||||||
\(684\) | −6.00000 | −0.229416 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 10.0000 | − | 17.3205i | 0.381802 | − | 0.661300i | ||||
\(687\) | 19.0526 | + | 11.0000i | 0.726900 | + | 0.419676i | ||||
\(688\) | − | 6.00000i | − | 0.228748i | ||||||
\(689\) | −31.5000 | − | 7.79423i | −1.20005 | − | 0.296936i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −21.0000 | + | 36.3731i | −0.798878 | + | 1.38370i | 0.121470 | + | 0.992595i | \(0.461239\pi\) |
−0.920348 | + | 0.391102i | \(0.872094\pi\) | |||||||
\(692\) | 5.19615 | + | 3.00000i | 0.197528 | + | 0.114043i | ||||
\(693\) | −3.46410 | + | 2.00000i | −0.131590 | + | 0.0759737i | ||||
\(694\) | −18.0000 | −0.683271 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 1.50000 | + | 2.59808i | 0.0568574 | + | 0.0984798i | ||||
\(697\) | 63.0000i | 2.38630i | ||||||||
\(698\) | −22.5167 | + | 13.0000i | −0.852268 | + | 0.492057i | ||||
\(699\) | −5.00000 | + | 8.66025i | −0.189117 | + | 0.327561i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.00000 | 0.0755390 | 0.0377695 | − | 0.999286i | \(-0.487975\pi\) | ||||
0.0377695 | + | 0.999286i | \(0.487975\pi\) | |||||||
\(702\) | 2.59808 | + | 2.50000i | 0.0980581 | + | 0.0943564i | ||||
\(703\) | − | 6.00000i | − | 0.226294i | ||||||
\(704\) | −7.00000 | + | 12.1244i | −0.263822 | + | 0.456954i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 5.50000 | + | 9.52628i | 0.206995 | + | 0.358526i | ||||
\(707\) | − | 6.00000i | − | 0.225653i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.50000 | − | 9.52628i | −0.206557 | − | 0.357767i | 0.744071 | − | 0.668101i | \(-0.232892\pi\) |
−0.950628 | + | 0.310334i | \(0.899559\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.00000 | + | 3.46410i | 0.0750059 | + | 0.129914i | ||||
\(712\) | 36.3731 | + | 21.0000i | 1.36314 | + | 0.787008i | ||||
\(713\) | 20.7846 | + | 12.0000i | 0.778390 | + | 0.449404i | ||||
\(714\) | −14.0000 | −0.523937 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 2.00000 | 0.0747435 | ||||||||
\(717\) | −25.9808 | − | 15.0000i | −0.970269 | − | 0.560185i | ||||
\(718\) | 15.5885 | + | 9.00000i | 0.581756 | + | 0.335877i | ||||
\(719\) | −24.0000 | − | 41.5692i | −0.895049 | − | 1.55027i | −0.833744 | − | 0.552151i | \(-0.813807\pi\) |
−0.0613050 | − | 0.998119i | \(-0.519526\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.00000 | − | 10.3923i | −0.223452 | − | 0.387030i | ||||
\(722\) | −14.7224 | + | 8.50000i | −0.547912 | + | 0.316337i | ||||
\(723\) | − | 7.00000i | − | 0.260333i | ||||||
\(724\) | 3.50000 | + | 6.06218i | 0.130076 | + | 0.225299i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −3.50000 | + | 6.06218i | −0.129897 | + | 0.224989i | ||||
\(727\) | − | 14.0000i | − | 0.519231i | −0.965712 | − | 0.259616i | \(-0.916404\pi\) | ||
0.965712 | − | 0.259616i | \(-0.0835959\pi\) | |||||||
\(728\) | 20.7846 | − | 6.00000i | 0.770329 | − | 0.222375i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 21.0000 | − | 36.3731i | 0.776713 | − | 1.34531i | ||||
\(732\) | −0.866025 | + | 0.500000i | −0.0320092 | + | 0.0184805i | ||||
\(733\) | − | 15.0000i | − | 0.554038i | −0.960864 | − | 0.277019i | \(-0.910654\pi\) | ||
0.960864 | − | 0.277019i | \(-0.0893464\pi\) | |||||||
\(734\) | 5.00000 | + | 8.66025i | 0.184553 | + | 0.319656i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −30.0000 | −1.10581 | ||||||||
\(737\) | −3.46410 | + | 2.00000i | −0.127602 | + | 0.0736709i | ||||
\(738\) | −7.79423 | − | 4.50000i | −0.286910 | − | 0.165647i | ||||
\(739\) | −8.00000 | + | 13.8564i | −0.294285 | + | 0.509716i | −0.974818 | − | 0.223001i | \(-0.928415\pi\) |
0.680534 | + | 0.732717i | \(0.261748\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −21.0000 | − | 5.19615i | −0.771454 | − | 0.190885i | ||||
\(742\) | 18.0000i | 0.660801i | ||||||||
\(743\) | 31.1769 | + | 18.0000i | 1.14377 | + | 0.660356i | 0.947361 | − | 0.320166i | \(-0.103739\pi\) |
0.196409 | + | 0.980522i | \(0.437072\pi\) | |||||||
\(744\) | 6.00000 | − | 10.3923i | 0.219971 | − | 0.381000i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −11.0000 | −0.402739 | ||||||||
\(747\) | 12.1244 | − | 7.00000i | 0.443607 | − | 0.256117i | ||||
\(748\) | −12.1244 | + | 7.00000i | −0.443310 | + | 0.255945i | ||||
\(749\) | 12.0000 | 0.438470 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 17.0000 | − | 29.4449i | 0.620339 | − | 1.07446i | −0.369084 | − | 0.929396i | \(-0.620328\pi\) |
0.989423 | − | 0.145062i | \(-0.0463382\pi\) | |||||||
\(752\) | −5.19615 | − | 3.00000i | −0.189484 | − | 0.109399i | ||||
\(753\) | − | 12.0000i | − | 0.437304i | ||||||
\(754\) | 1.00000 | + | 3.46410i | 0.0364179 | + | 0.126155i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −1.00000 | + | 1.73205i | −0.0363696 | + | 0.0629941i | ||||
\(757\) | −43.3013 | − | 25.0000i | −1.57381 | − | 0.908640i | −0.995695 | − | 0.0926859i | \(-0.970455\pi\) |
−0.578116 | − | 0.815955i | \(-0.696212\pi\) | |||||||
\(758\) | −31.1769 | + | 18.0000i | −1.13240 | + | 0.653789i | ||||
\(759\) | 12.0000 | 0.435572 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −25.0000 | − | 43.3013i | −0.906249 | − | 1.56967i | −0.819231 | − | 0.573463i | \(-0.805600\pi\) |
−0.0870179 | − | 0.996207i | \(-0.527734\pi\) | |||||||
\(762\) | 20.0000i | 0.724524i | ||||||||
\(763\) | −3.46410 | + | 2.00000i | −0.125409 | + | 0.0724049i | ||||
\(764\) | 2.00000 | − | 3.46410i | 0.0723575 | − | 0.125327i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 8.00000 | 0.289052 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 17.0000i | 0.613435i | ||||||||
\(769\) | 15.0000 | − | 25.9808i | 0.540914 | − | 0.936890i | −0.457938 | − | 0.888984i | \(-0.651412\pi\) |
0.998852 | − | 0.0479061i | \(-0.0152548\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3.50000 | − | 6.06218i | −0.126049 | − | 0.218324i | ||||
\(772\) | − | 9.00000i | − | 0.323917i | ||||||
\(773\) | −12.1244 | + | 7.00000i | −0.436083 | + | 0.251773i | −0.701935 | − | 0.712241i | \(-0.747680\pi\) |
0.265852 | + | 0.964014i | \(0.414347\pi\) | |||||||
\(774\) | 3.00000 | + | 5.19615i | 0.107833 | + | 0.186772i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −3.00000 | − | 5.19615i | −0.107694 | − | 0.186531i | ||||
\(777\) | −1.73205 | − | 1.00000i | −0.0621370 | − | 0.0358748i | ||||
\(778\) | −16.4545 | − | 9.50000i | −0.589922 | − | 0.340592i | ||||
\(779\) | 54.0000 | 1.93475 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −12.0000 | −0.429394 | ||||||||
\(782\) | 36.3731 | + | 21.0000i | 1.30070 | + | 0.750958i | ||||
\(783\) | −0.866025 | − | 0.500000i | −0.0309492 | − | 0.0178685i | ||||
\(784\) | 1.50000 | + | 2.59808i | 0.0535714 | + | 0.0927884i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −4.00000 | − | 6.92820i | −0.142675 | − | 0.247121i | ||||
\(787\) | −24.2487 | + | 14.0000i | −0.864373 | + | 0.499046i | −0.865474 | − | 0.500953i | \(-0.832983\pi\) |
0.00110111 | + | 0.999999i | \(0.499650\pi\) | |||||||
\(788\) | − | 6.00000i | − | 0.213741i | ||||||
\(789\) | 15.0000 | + | 25.9808i | 0.534014 | + | 0.924940i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 15.0000 | − | 25.9808i | 0.533339 | − | 0.923770i | ||||
\(792\) | − | 6.00000i | − | 0.213201i | ||||||
\(793\) | −3.46410 | + | 1.00000i | −0.123014 | + | 0.0355110i | ||||
\(794\) | 34.0000 | 1.20661 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 7.00000 | − | 12.1244i | 0.248108 | − | 0.429736i | ||||
\(797\) | 1.73205 | − | 1.00000i | 0.0613524 | − | 0.0354218i | −0.469010 | − | 0.883193i | \(-0.655389\pi\) |
0.530362 | + | 0.847771i | \(0.322056\pi\) | |||||||
\(798\) | 12.0000i | 0.424795i | ||||||||
\(799\) | −21.0000 | − | 36.3731i | −0.742927 | − | 1.28679i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −14.0000 | −0.494666 | ||||||||
\(802\) | −0.866025 | + | 0.500000i | −0.0305804 | + | 0.0176556i | ||||
\(803\) | 19.0526 | + | 11.0000i | 0.672350 | + | 0.388182i | ||||
\(804\) | −1.00000 | + | 1.73205i | −0.0352673 | + | 0.0610847i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 10.0000 | − | 10.3923i | 0.352235 | − | 0.366053i | ||||
\(807\) | − | 14.0000i | − | 0.492823i | ||||||
\(808\) | 7.79423 | + | 4.50000i | 0.274200 | + | 0.158309i | ||||
\(809\) | 16.5000 | − | 28.5788i | 0.580109 | − | 1.00478i | −0.415357 | − | 0.909659i | \(-0.636343\pi\) |
0.995466 | − | 0.0951198i | \(-0.0303234\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −28.0000 | −0.983213 | −0.491606 | − | 0.870817i | \(-0.663590\pi\) | ||||
−0.491606 | + | 0.870817i | \(0.663590\pi\) | |||||||
\(812\) | −1.73205 | + | 1.00000i | −0.0607831 | + | 0.0350931i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.00000 | 0.0701000 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 3.50000 | − | 6.06218i | 0.122525 | − | 0.212219i | ||||
\(817\) | −31.1769 | − | 18.0000i | −1.09074 | − | 0.629740i | ||||
\(818\) | 7.00000i | 0.244749i | ||||||||
\(819\) | −5.00000 | + | 5.19615i | −0.174714 | + | 0.181568i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −25.0000 | + | 43.3013i | −0.872506 | + | 1.51122i | −0.0131101 | + | 0.999914i | \(0.504173\pi\) |
−0.859396 | + | 0.511311i | \(0.829160\pi\) | |||||||
\(822\) | 2.59808 | + | 1.50000i | 0.0906183 | + | 0.0523185i | ||||
\(823\) | −20.7846 | + | 12.0000i | −0.724506 | + | 0.418294i | −0.816409 | − | 0.577474i | \(-0.804038\pi\) |
0.0919029 | + | 0.995768i | \(0.470705\pi\) | |||||||
\(824\) | 18.0000 | 0.627060 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 16.0000i | − | 0.556375i | −0.960527 | − | 0.278187i | \(-0.910266\pi\) | ||
0.960527 | − | 0.278187i | \(-0.0897336\pi\) | |||||||
\(828\) | 5.19615 | − | 3.00000i | 0.180579 | − | 0.104257i | ||||
\(829\) | 8.50000 | − | 14.7224i | 0.295217 | − | 0.511331i | −0.679818 | − | 0.733381i | \(-0.737941\pi\) |
0.975035 | + | 0.222049i | \(0.0712747\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 31.0000 | 1.07538 | ||||||||
\(832\) | −6.06218 | + | 24.5000i | −0.210168 | + | 0.849385i | ||||
\(833\) | 21.0000i | 0.727607i | ||||||||
\(834\) | −6.00000 | + | 10.3923i | −0.207763 | + | 0.359856i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 6.00000 | + | 10.3923i | 0.207514 | + | 0.359425i | ||||
\(837\) | 4.00000i | 0.138260i | ||||||||
\(838\) | 13.8564 | − | 8.00000i | 0.478662 | − | 0.276355i | ||||
\(839\) | 6.00000 | + | 10.3923i | 0.207143 | + | 0.358782i | 0.950813 | − | 0.309764i | \(-0.100250\pi\) |
−0.743670 | + | 0.668546i | \(0.766917\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.0000 | + | 24.2487i | 0.482759 | + | 0.836162i | ||||
\(842\) | −16.4545 | − | 9.50000i | −0.567059 | − | 0.327392i | ||||
\(843\) | −16.4545 | − | 9.50000i | −0.566722 | − | 0.327197i | ||||
\(844\) | −8.00000 | −0.275371 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 6.00000 | 0.206284 | ||||||||
\(847\) | −12.1244 | − | 7.00000i | −0.416598 | − | 0.240523i | ||||
\(848\) | −7.79423 | − | 4.50000i | −0.267655 | − | 0.154531i | ||||
\(849\) | 9.00000 | + | 15.5885i | 0.308879 | + | 0.534994i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 3.00000 | + | 5.19615i | 0.102839 | + | 0.178122i | ||||
\(852\) | −5.19615 | + | 3.00000i | −0.178017 | + | 0.102778i | ||||
\(853\) | 21.0000i | 0.719026i | 0.933140 | + | 0.359513i | \(0.117057\pi\) | ||||
−0.933140 | + | 0.359513i | \(0.882943\pi\) | |||||||
\(854\) | 1.00000 | + | 1.73205i | 0.0342193 | + | 0.0592696i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.00000 | + | 15.5885i | −0.307614 | + | 0.532803i | ||||
\(857\) | 31.0000i | 1.05894i | 0.848329 | + | 0.529470i | \(0.177609\pi\) | ||||
−0.848329 | + | 0.529470i | \(0.822391\pi\) | |||||||
\(858\) | 1.73205 | − | 7.00000i | 0.0591312 | − | 0.238976i | ||||
\(859\) | −34.0000 | −1.16007 | −0.580033 | − | 0.814593i | \(-0.696960\pi\) | ||||
−0.580033 | + | 0.814593i | \(0.696960\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 9.00000 | − | 15.5885i | 0.306719 | − | 0.531253i | ||||
\(862\) | 25.9808 | − | 15.0000i | 0.884908 | − | 0.510902i | ||||
\(863\) | 10.0000i | 0.340404i | 0.985409 | + | 0.170202i | \(0.0544420\pi\) | ||||
−0.985409 | + | 0.170202i | \(0.945558\pi\) | |||||||
\(864\) | −2.50000 | − | 4.33013i | −0.0850517 | − | 0.147314i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 19.0000 | 0.645646 | ||||||||
\(867\) | 27.7128 | − | 16.0000i | 0.941176 | − | 0.543388i | ||||
\(868\) | 6.92820 | + | 4.00000i | 0.235159 | + | 0.135769i | ||||
\(869\) | 4.00000 | − | 6.92820i | 0.135691 | − | 0.235023i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.00000 | + | 5.19615i | −0.169419 | + | 0.176065i | ||||
\(872\) | − | 6.00000i | − | 0.203186i | ||||||
\(873\) | 1.73205 | + | 1.00000i | 0.0586210 | + | 0.0338449i | ||||
\(874\) | 18.0000 | − | 31.1769i | 0.608859 | − | 1.05457i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 11.0000 | 0.371656 | ||||||||
\(877\) | −14.7224 | + | 8.50000i | −0.497141 | + | 0.287025i | −0.727532 | − | 0.686074i | \(-0.759333\pi\) |
0.230391 | + | 0.973098i | \(0.425999\pi\) | |||||||
\(878\) | 12.1244 | − | 7.00000i | 0.409177 | − | 0.236239i | ||||
\(879\) | −9.00000 | −0.303562 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −18.5000 | + | 32.0429i | −0.623281 | + | 1.07955i | 0.365590 | + | 0.930776i | \(0.380867\pi\) |
−0.988871 | + | 0.148778i | \(0.952466\pi\) | |||||||
\(882\) | −2.59808 | − | 1.50000i | −0.0874818 | − | 0.0505076i | ||||
\(883\) | 16.0000i | 0.538443i | 0.963078 | + | 0.269221i | \(0.0867663\pi\) | ||||
−0.963078 | + | 0.269221i | \(0.913234\pi\) | |||||||
\(884\) | −17.5000 | + | 18.1865i | −0.588589 | + | 0.611679i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.00000 | − | 3.46410i | 0.0671913 | − | 0.116379i | ||||
\(887\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(888\) | 2.59808 | − | 1.50000i | 0.0871857 | − | 0.0503367i | ||||
\(889\) | −40.0000 | −1.34156 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.00000 | + | 1.73205i | 0.0335013 | + | 0.0580259i | ||||
\(892\) | 16.0000i | 0.535720i | ||||||||
\(893\) | −31.1769 | + | 18.0000i | −1.04330 | + | 0.602347i | ||||
\(894\) | −1.50000 | + | 2.59808i | −0.0501675 | + | 0.0868927i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −6.00000 | −0.200446 | ||||||||
\(897\) | 20.7846 | − | 6.00000i | 0.693978 | − | 0.200334i | ||||
\(898\) | 34.0000i | 1.13459i | ||||||||
\(899\) | −2.00000 | + | 3.46410i | −0.0667037 | + | 0.115534i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −31.5000 | − | 54.5596i | −1.04942 | − | 1.81764i | ||||
\(902\) | 18.0000i | 0.599334i | ||||||||
\(903\) | −10.3923 | + | 6.00000i | −0.345834 | + | 0.199667i | ||||
\(904\) | 22.5000 | + | 38.9711i | 0.748339 | + | 1.29616i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −1.00000 | − | 1.73205i | −0.0332228 | − | 0.0575435i | ||||
\(907\) | 10.3923 | + | 6.00000i | 0.345071 | + | 0.199227i | 0.662512 | − | 0.749051i | \(-0.269490\pi\) |
−0.317441 | + | 0.948278i | \(0.602824\pi\) | |||||||
\(908\) | −12.1244 | − | 7.00000i | −0.402361 | − | 0.232303i | ||||
\(909\) | −3.00000 | −0.0995037 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −40.0000 | −1.32526 | −0.662630 | − | 0.748947i | \(-0.730560\pi\) | ||||
−0.662630 | + | 0.748947i | \(0.730560\pi\) | |||||||
\(912\) | −5.19615 | − | 3.00000i | −0.172062 | − | 0.0993399i | ||||
\(913\) | −24.2487 | − | 14.0000i | −0.802515 | − | 0.463332i | ||||
\(914\) | −6.50000 | − | 11.2583i | −0.215001 | − | 0.372392i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −11.0000 | − | 19.0526i | −0.363450 | − | 0.629514i | ||||
\(917\) | 13.8564 | − | 8.00000i | 0.457579 | − | 0.264183i | ||||
\(918\) | 7.00000i | 0.231034i | ||||||||
\(919\) | 12.0000 | + | 20.7846i | 0.395843 | + | 0.685621i | 0.993208 | − | 0.116348i | \(-0.0371189\pi\) |
−0.597365 | + | 0.801970i | \(0.703786\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 7.00000 | − | 12.1244i | 0.230658 | − | 0.399511i | ||||
\(922\) | − | 19.0000i | − | 0.625732i | ||||||
\(923\) | −20.7846 | + | 6.00000i | −0.684134 | + | 0.197492i | ||||
\(924\) | 4.00000 | 0.131590 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 13.0000 | − | 22.5167i | 0.427207 | − | 0.739943i | ||||
\(927\) | −5.19615 | + | 3.00000i | −0.170664 | + | 0.0985329i | ||||
\(928\) | − | 5.00000i | − | 0.164133i | ||||||
\(929\) | −13.5000 | − | 23.3827i | −0.442921 | − | 0.767161i | 0.554984 | − | 0.831861i | \(-0.312724\pi\) |
−0.997905 | + | 0.0646999i | \(0.979391\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 18.0000 | 0.589926 | ||||||||
\(932\) | 8.66025 | − | 5.00000i | 0.283676 | − | 0.163780i | ||||
\(933\) | 15.5885 | + | 9.00000i | 0.510343 | + | 0.294647i | ||||
\(934\) | 3.00000 | − | 5.19615i | 0.0981630 | − | 0.170023i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −3.00000 | − | 10.3923i | −0.0980581 | − | 0.339683i | ||||
\(937\) | 49.0000i | 1.60076i | 0.599493 | + | 0.800380i | \(0.295369\pi\) | ||||
−0.599493 | + | 0.800380i | \(0.704631\pi\) | |||||||
\(938\) | 3.46410 | + | 2.00000i | 0.113107 | + | 0.0653023i | ||||
\(939\) | −3.00000 | + | 5.19615i | −0.0979013 | + | 0.169570i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −38.0000 | −1.23876 | −0.619382 | − | 0.785090i | \(-0.712617\pi\) | ||||
−0.619382 | + | 0.785090i | \(0.712617\pi\) | |||||||
\(942\) | −2.59808 | + | 1.50000i | −0.0846499 | + | 0.0488726i | ||||
\(943\) | −46.7654 | + | 27.0000i | −1.52289 | + | 0.879241i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.00000 | − | 10.3923i | 0.195077 | − | 0.337883i | ||||
\(947\) | −41.5692 | − | 24.0000i | −1.35082 | − | 0.779895i | −0.362454 | − | 0.932002i | \(-0.618061\pi\) |
−0.988364 | + | 0.152106i | \(0.951394\pi\) | |||||||
\(948\) | − | 4.00000i | − | 0.129914i | ||||||
\(949\) | 38.5000 | + | 9.52628i | 1.24976 | + | 0.309236i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −12.5000 | + | 21.6506i | −0.405340 | + | 0.702070i | ||||
\(952\) | 36.3731 | + | 21.0000i | 1.17886 | + | 0.680614i | ||||
\(953\) | 5.19615 | − | 3.00000i | 0.168320 | − | 0.0971795i | −0.413473 | − | 0.910516i | \(-0.635685\pi\) |
0.581793 | + | 0.813337i | \(0.302351\pi\) | |||||||
\(954\) | 9.00000 | 0.291386 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 15.0000 | + | 25.9808i | 0.485135 | + | 0.840278i | ||||
\(957\) | 2.00000i | 0.0646508i | ||||||||
\(958\) | 20.7846 | − | 12.0000i | 0.671520 | − | 0.387702i | ||||
\(959\) | −3.00000 | + | 5.19615i | −0.0968751 | + | 0.167793i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.0000 | −0.483871 | ||||||||
\(962\) | 3.46410 | − | 1.00000i | 0.111687 | − | 0.0322413i | ||||
\(963\) | − | 6.00000i | − | 0.193347i | ||||||
\(964\) | −3.50000 | + | 6.06218i | −0.112727 | + | 0.195250i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −6.00000 | − | 10.3923i | −0.193047 | − | 0.334367i | ||||
\(967\) | − | 2.00000i | − | 0.0643157i | −0.999483 | − | 0.0321578i | \(-0.989762\pi\) | ||
0.999483 | − | 0.0321578i | \(-0.0102379\pi\) | |||||||
\(968\) | 18.1865 | − | 10.5000i | 0.584537 | − | 0.337483i | ||||
\(969\) | −21.0000 | − | 36.3731i | −0.674617 | − | 1.16847i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −18.0000 | − | 31.1769i | −0.577647 | − | 1.00051i | −0.995748 | − | 0.0921142i | \(-0.970638\pi\) |
0.418101 | − | 0.908401i | \(-0.362696\pi\) | |||||||
\(972\) | 0.866025 | + | 0.500000i | 0.0277778 | + | 0.0160375i | ||||
\(973\) | −20.7846 | − | 12.0000i | −0.666324 | − | 0.384702i | ||||
\(974\) | −18.0000 | −0.576757 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.00000 | −0.0320092 | ||||||||
\(977\) | 28.5788 | + | 16.5000i | 0.914318 | + | 0.527882i | 0.881818 | − | 0.471590i | \(-0.156320\pi\) |
0.0325001 | + | 0.999472i | \(0.489653\pi\) | |||||||
\(978\) | −3.46410 | − | 2.00000i | −0.110770 | − | 0.0639529i | ||||
\(979\) | 14.0000 | + | 24.2487i | 0.447442 | + | 0.774992i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1.00000 | + | 1.73205i | 0.0319275 | + | 0.0553001i | ||||
\(982\) | −5.19615 | + | 3.00000i | −0.165816 | + | 0.0957338i | ||||
\(983\) | 4.00000i | 0.127580i | 0.997963 | + | 0.0637901i | \(0.0203188\pi\) | ||||
−0.997963 | + | 0.0637901i | \(0.979681\pi\) | |||||||
\(984\) | 13.5000 | + | 23.3827i | 0.430364 | + | 0.745413i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −3.50000 | + | 6.06218i | −0.111463 | + | 0.193059i | ||||
\(987\) | 12.0000i | 0.381964i | ||||||||
\(988\) | 15.5885 | + | 15.0000i | 0.495935 | + | 0.477214i | ||||
\(989\) | 36.0000 | 1.14473 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.00000 | − | 1.73205i | 0.0317660 | − | 0.0550204i | −0.849705 | − | 0.527258i | \(-0.823220\pi\) |
0.881471 | + | 0.472237i | \(0.156554\pi\) | |||||||
\(992\) | −17.3205 | + | 10.0000i | −0.549927 | + | 0.317500i | ||||
\(993\) | 4.00000i | 0.126936i | ||||||||
\(994\) | 6.00000 | + | 10.3923i | 0.190308 | + | 0.329624i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −14.0000 | −0.443607 | ||||||||
\(997\) | 30.3109 | − | 17.5000i | 0.959955 | − | 0.554231i | 0.0637961 | − | 0.997963i | \(-0.479679\pi\) |
0.896159 | + | 0.443732i | \(0.146346\pi\) | |||||||
\(998\) | −20.7846 | − | 12.0000i | −0.657925 | − | 0.379853i | ||||
\(999\) | −0.500000 | + | 0.866025i | −0.0158193 | + | 0.0273998i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))