Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [270,2,Mod(19,270)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(270, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("270.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 270 = 2 \cdot 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 270.i (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: | \(2.15596085457\) |
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 90) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 199.1 | ||
Root | \(-0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 270.199 |
Dual form | 270.2.i.a.19.1 |
$q$-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 \(\left(\mathbb{Z}/270\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(217\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −2.23205 | − | 0.133975i | −0.998203 | − | 0.0599153i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.866025 | + | 0.500000i | −0.327327 | + | 0.188982i | −0.654654 | − | 0.755929i | \(-0.727186\pi\) |
0.327327 | + | 0.944911i | \(0.393852\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.00000 | − | 1.00000i | 0.632456 | − | 0.316228i | ||||
\(11\) | −1.00000 | − | 1.73205i | −0.301511 | − | 0.522233i | 0.674967 | − | 0.737848i | \(-0.264158\pi\) |
−0.976478 | + | 0.215615i | \(0.930824\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.19615 | − | 3.00000i | −1.44115 | − | 0.832050i | −0.443227 | − | 0.896410i | \(-0.646166\pi\) |
−0.997927 | + | 0.0643593i | \(0.979500\pi\) | |||||||
\(14\) | 0.500000 | − | 0.866025i | 0.133631 | − | 0.231455i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 2.00000i | 0.485071i | 0.970143 | + | 0.242536i | \(0.0779791\pi\) | ||||
−0.970143 | + | 0.242536i | \(0.922021\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.00000 | −1.37649 | −0.688247 | − | 0.725476i | \(-0.741620\pi\) | ||||
−0.688247 | + | 0.725476i | \(0.741620\pi\) | |||||||
\(20\) | −1.23205 | + | 1.86603i | −0.275495 | + | 0.417256i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.73205 | + | 1.00000i | 0.369274 | + | 0.213201i | ||||
\(23\) | −0.866025 | − | 0.500000i | −0.180579 | − | 0.104257i | 0.406986 | − | 0.913434i | \(-0.366580\pi\) |
−0.587565 | + | 0.809177i | \(0.699913\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.96410 | + | 0.598076i | 0.992820 | + | 0.119615i | ||||
\(26\) | 6.00000 | 1.17670 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.00000i | 0.188982i | ||||||||
\(29\) | −4.50000 | − | 7.79423i | −0.835629 | − | 1.44735i | −0.893517 | − | 0.449029i | \(-0.851770\pi\) |
0.0578882 | − | 0.998323i | \(-0.481563\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.00000 | − | 1.73205i | 0.179605 | − | 0.311086i | −0.762140 | − | 0.647412i | \(-0.775851\pi\) |
0.941745 | + | 0.336327i | \(0.109185\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.00000 | − | 1.73205i | −0.171499 | − | 0.297044i | ||||
\(35\) | 2.00000 | − | 1.00000i | 0.338062 | − | 0.169031i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.00000i | 0.328798i | 0.986394 | + | 0.164399i | \(0.0525685\pi\) | ||||
−0.986394 | + | 0.164399i | \(0.947432\pi\) | |||||||
\(38\) | 5.19615 | − | 3.00000i | 0.842927 | − | 0.486664i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.133975 | − | 2.23205i | 0.0211832 | − | 0.352918i | ||||
\(41\) | −5.50000 | + | 9.52628i | −0.858956 | + | 1.48775i | 0.0139704 | + | 0.999902i | \(0.495553\pi\) |
−0.872926 | + | 0.487852i | \(0.837780\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.46410 | − | 2.00000i | 0.528271 | − | 0.304997i | −0.212041 | − | 0.977261i | \(-0.568011\pi\) |
0.740312 | + | 0.672264i | \(0.234678\pi\) | |||||||
\(44\) | −2.00000 | −0.301511 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.00000 | 0.147442 | ||||||||
\(47\) | 6.06218 | − | 3.50000i | 0.884260 | − | 0.510527i | 0.0121990 | − | 0.999926i | \(-0.496117\pi\) |
0.872060 | + | 0.489398i | \(0.162783\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.00000 | + | 5.19615i | −0.428571 | + | 0.742307i | ||||
\(50\) | −4.59808 | + | 1.96410i | −0.650266 | + | 0.277766i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.19615 | + | 3.00000i | −0.720577 | + | 0.416025i | ||||
\(53\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.00000 | + | 4.00000i | 0.269680 | + | 0.539360i | ||||
\(56\) | −0.500000 | − | 0.866025i | −0.0668153 | − | 0.115728i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 7.79423 | + | 4.50000i | 1.02343 | + | 0.590879i | ||||
\(59\) | 2.00000 | − | 3.46410i | 0.260378 | − | 0.450988i | −0.705965 | − | 0.708247i | \(-0.749486\pi\) |
0.966342 | + | 0.257260i | \(0.0828195\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.50000 | + | 6.06218i | 0.448129 | + | 0.776182i | 0.998264 | − | 0.0588933i | \(-0.0187572\pi\) |
−0.550135 | + | 0.835076i | \(0.685424\pi\) | |||||||
\(62\) | 2.00000i | 0.254000i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 11.1962 | + | 7.39230i | 1.38871 | + | 0.916903i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.52628 | + | 5.50000i | 1.16382 | + | 0.671932i | 0.952217 | − | 0.305424i | \(-0.0987981\pi\) |
0.211604 | + | 0.977356i | \(0.432131\pi\) | |||||||
\(68\) | 1.73205 | + | 1.00000i | 0.210042 | + | 0.121268i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.23205 | + | 1.86603i | −0.147258 | + | 0.223033i | ||||
\(71\) | 6.00000 | 0.712069 | 0.356034 | − | 0.934473i | \(-0.384129\pi\) | ||||
0.356034 | + | 0.934473i | \(0.384129\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.00000i | 0.468165i | 0.972217 | + | 0.234082i | \(0.0752085\pi\) | ||||
−0.972217 | + | 0.234082i | \(0.924791\pi\) | |||||||
\(74\) | −1.00000 | − | 1.73205i | −0.116248 | − | 0.201347i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.00000 | + | 5.19615i | −0.344124 | + | 0.596040i | ||||
\(77\) | 1.73205 | + | 1.00000i | 0.197386 | + | 0.113961i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.00000 | − | 10.3923i | −0.675053 | − | 1.16923i | −0.976453 | − | 0.215728i | \(-0.930788\pi\) |
0.301401 | − | 0.953498i | \(-0.402546\pi\) | |||||||
\(80\) | 1.00000 | + | 2.00000i | 0.111803 | + | 0.223607i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | − | 11.0000i | − | 1.21475i | ||||||
\(83\) | −9.52628 | + | 5.50000i | −1.04565 | + | 0.603703i | −0.921427 | − | 0.388552i | \(-0.872976\pi\) |
−0.124218 | + | 0.992255i | \(0.539642\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.267949 | − | 4.46410i | 0.0290632 | − | 0.484200i | ||||
\(86\) | −2.00000 | + | 3.46410i | −0.215666 | + | 0.373544i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.73205 | − | 1.00000i | 0.184637 | − | 0.106600i | ||||
\(89\) | 1.00000 | 0.106000 | 0.0529999 | − | 0.998595i | \(-0.483122\pi\) | ||||
0.0529999 | + | 0.998595i | \(0.483122\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.00000 | 0.628971 | ||||||||
\(92\) | −0.866025 | + | 0.500000i | −0.0902894 | + | 0.0521286i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.50000 | + | 6.06218i | −0.360997 | + | 0.625266i | ||||
\(95\) | 13.3923 | + | 0.803848i | 1.37402 | + | 0.0824730i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.92820 | + | 4.00000i | −0.703452 | + | 0.406138i | −0.808632 | − | 0.588315i | \(-0.799792\pi\) |
0.105180 | + | 0.994453i | \(0.466458\pi\) | |||||||
\(98\) | − | 6.00000i | − | 0.606092i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.00000 | − | 4.00000i | 0.300000 | − | 0.400000i | ||||
\(101\) | 1.00000 | + | 1.73205i | 0.0995037 | + | 0.172345i | 0.911479 | − | 0.411346i | \(-0.134941\pi\) |
−0.811976 | + | 0.583691i | \(0.801608\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.92820 | − | 4.00000i | −0.682656 | − | 0.394132i | 0.118199 | − | 0.992990i | \(-0.462288\pi\) |
−0.800855 | + | 0.598858i | \(0.795621\pi\) | |||||||
\(104\) | 3.00000 | − | 5.19615i | 0.294174 | − | 0.509525i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − | 3.00000i | − | 0.290021i | −0.989430 | − | 0.145010i | \(-0.953678\pi\) | ||
0.989430 | − | 0.145010i | \(-0.0463216\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.00000 | −0.670478 | −0.335239 | − | 0.942133i | \(-0.608817\pi\) | ||||
−0.335239 | + | 0.942133i | \(0.608817\pi\) | |||||||
\(110\) | −3.73205 | − | 2.46410i | −0.355837 | − | 0.234943i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.866025 | + | 0.500000i | 0.0818317 | + | 0.0472456i | ||||
\(113\) | −10.3923 | − | 6.00000i | −0.977626 | − | 0.564433i | −0.0760733 | − | 0.997102i | \(-0.524238\pi\) |
−0.901553 | + | 0.432670i | \(0.857572\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.86603 | + | 1.23205i | 0.174008 | + | 0.114889i | ||||
\(116\) | −9.00000 | −0.835629 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.00000i | 0.368230i | ||||||||
\(119\) | −1.00000 | − | 1.73205i | −0.0916698 | − | 0.158777i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.50000 | − | 6.06218i | 0.318182 | − | 0.551107i | ||||
\(122\) | −6.06218 | − | 3.50000i | −0.548844 | − | 0.316875i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.00000 | − | 1.73205i | −0.0898027 | − | 0.155543i | ||||
\(125\) | −11.0000 | − | 2.00000i | −0.983870 | − | 0.178885i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 19.0000i | − | 1.68598i | −0.537931 | − | 0.842989i | \(-0.680794\pi\) | ||
0.537931 | − | 0.842989i | \(-0.319206\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −13.3923 | − | 0.803848i | −1.17458 | − | 0.0705021i | ||||
\(131\) | 6.00000 | − | 10.3923i | 0.524222 | − | 0.907980i | −0.475380 | − | 0.879781i | \(-0.657689\pi\) |
0.999602 | − | 0.0281993i | \(-0.00897729\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.19615 | − | 3.00000i | 0.450564 | − | 0.260133i | ||||
\(134\) | −11.0000 | −0.950255 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.00000 | −0.171499 | ||||||||
\(137\) | −10.3923 | + | 6.00000i | −0.887875 | + | 0.512615i | −0.873247 | − | 0.487278i | \(-0.837990\pi\) |
−0.0146279 | + | 0.999893i | \(0.504656\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.00000 | − | 13.8564i | 0.678551 | − | 1.17529i | −0.296866 | − | 0.954919i | \(-0.595942\pi\) |
0.975417 | − | 0.220366i | \(-0.0707252\pi\) | |||||||
\(140\) | 0.133975 | − | 2.23205i | 0.0113229 | − | 0.188643i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.19615 | + | 3.00000i | −0.436051 | + | 0.251754i | ||||
\(143\) | 12.0000i | 1.00349i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.00000 | + | 18.0000i | 0.747409 | + | 1.49482i | ||||
\(146\) | −2.00000 | − | 3.46410i | −0.165521 | − | 0.286691i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.73205 | + | 1.00000i | 0.142374 | + | 0.0821995i | ||||
\(149\) | 0.500000 | − | 0.866025i | 0.0409616 | − | 0.0709476i | −0.844818 | − | 0.535054i | \(-0.820291\pi\) |
0.885779 | + | 0.464107i | \(0.153625\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.00000 | − | 8.66025i | −0.406894 | − | 0.704761i | 0.587646 | − | 0.809118i | \(-0.300055\pi\) |
−0.994540 | + | 0.104357i | \(0.966722\pi\) | |||||||
\(152\) | − | 6.00000i | − | 0.486664i | ||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.00000 | −0.161165 | ||||||||
\(155\) | −2.46410 | + | 3.73205i | −0.197921 | + | 0.299766i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.46410 | − | 2.00000i | −0.276465 | − | 0.159617i | 0.355357 | − | 0.934731i | \(-0.384359\pi\) |
−0.631822 | + | 0.775113i | \(0.717693\pi\) | |||||||
\(158\) | 10.3923 | + | 6.00000i | 0.826767 | + | 0.477334i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.86603 | − | 1.23205i | −0.147522 | − | 0.0974022i | ||||
\(161\) | 1.00000 | 0.0788110 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 4.00000i | − | 0.313304i | −0.987654 | − | 0.156652i | \(-0.949930\pi\) | ||
0.987654 | − | 0.156652i | \(-0.0500701\pi\) | |||||||
\(164\) | 5.50000 | + | 9.52628i | 0.429478 | + | 0.743877i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.50000 | − | 9.52628i | 0.426883 | − | 0.739383i | ||||
\(167\) | −2.59808 | − | 1.50000i | −0.201045 | − | 0.116073i | 0.396098 | − | 0.918208i | \(-0.370364\pi\) |
−0.597143 | + | 0.802135i | \(0.703697\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.5000 | + | 19.9186i | 0.884615 | + | 1.53220i | ||||
\(170\) | 2.00000 | + | 4.00000i | 0.153393 | + | 0.306786i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | − | 4.00000i | − | 0.304997i | ||||||
\(173\) | −3.46410 | + | 2.00000i | −0.263371 | + | 0.152057i | −0.625871 | − | 0.779926i | \(-0.715256\pi\) |
0.362500 | + | 0.931984i | \(0.381923\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.59808 | + | 1.96410i | −0.347582 | + | 0.148472i | ||||
\(176\) | −1.00000 | + | 1.73205i | −0.0753778 | + | 0.130558i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.866025 | + | 0.500000i | −0.0649113 | + | 0.0374766i | ||||
\(179\) | 2.00000 | 0.149487 | 0.0747435 | − | 0.997203i | \(-0.476186\pi\) | ||||
0.0747435 | + | 0.997203i | \(0.476186\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −13.0000 | −0.966282 | −0.483141 | − | 0.875542i | \(-0.660504\pi\) | ||||
−0.483141 | + | 0.875542i | \(0.660504\pi\) | |||||||
\(182\) | −5.19615 | + | 3.00000i | −0.385164 | + | 0.222375i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.500000 | − | 0.866025i | 0.0368605 | − | 0.0638442i | ||||
\(185\) | 0.267949 | − | 4.46410i | 0.0197000 | − | 0.328207i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.46410 | − | 2.00000i | 0.253320 | − | 0.146254i | ||||
\(188\) | − | 7.00000i | − | 0.510527i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −12.0000 | + | 6.00000i | −0.870572 | + | 0.435286i | ||||
\(191\) | 3.00000 | + | 5.19615i | 0.217072 | + | 0.375980i | 0.953912 | − | 0.300088i | \(-0.0970159\pi\) |
−0.736839 | + | 0.676068i | \(0.763683\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.66025 | − | 5.00000i | −0.623379 | − | 0.359908i | 0.154805 | − | 0.987945i | \(-0.450525\pi\) |
−0.778183 | + | 0.628037i | \(0.783859\pi\) | |||||||
\(194\) | 4.00000 | − | 6.92820i | 0.287183 | − | 0.497416i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.00000 | + | 5.19615i | 0.214286 | + | 0.371154i | ||||
\(197\) | − | 8.00000i | − | 0.569976i | −0.958531 | − | 0.284988i | \(-0.908010\pi\) | ||
0.958531 | − | 0.284988i | \(-0.0919897\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 18.0000 | 1.27599 | 0.637993 | − | 0.770042i | \(-0.279765\pi\) | ||||
0.637993 | + | 0.770042i | \(0.279765\pi\) | |||||||
\(200\) | −0.598076 | + | 4.96410i | −0.0422904 | + | 0.351015i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.73205 | − | 1.00000i | −0.121867 | − | 0.0703598i | ||||
\(203\) | 7.79423 | + | 4.50000i | 0.547048 | + | 0.315838i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 13.5526 | − | 20.5263i | 0.946552 | − | 1.43362i | ||||
\(206\) | 8.00000 | 0.557386 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 6.00000i | 0.416025i | ||||||||
\(209\) | 6.00000 | + | 10.3923i | 0.415029 | + | 0.718851i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.00000 | + | 15.5885i | −0.619586 | + | 1.07315i | 0.369976 | + | 0.929041i | \(0.379366\pi\) |
−0.989561 | + | 0.144112i | \(0.953967\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.50000 | + | 2.59808i | 0.102538 | + | 0.177601i | ||||
\(215\) | −8.00000 | + | 4.00000i | −0.545595 | + | 0.272798i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.00000i | 0.135769i | ||||||||
\(218\) | 6.06218 | − | 3.50000i | 0.410582 | − | 0.237050i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 4.46410 | + | 0.267949i | 0.300970 | + | 0.0180651i | ||||
\(221\) | 6.00000 | − | 10.3923i | 0.403604 | − | 0.699062i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −19.9186 | + | 11.5000i | −1.33385 | + | 0.770097i | −0.985887 | − | 0.167412i | \(-0.946459\pi\) |
−0.347960 | + | 0.937509i | \(0.613126\pi\) | |||||||
\(224\) | −1.00000 | −0.0668153 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 12.0000 | 0.798228 | ||||||||
\(227\) | 6.92820 | − | 4.00000i | 0.459841 | − | 0.265489i | −0.252136 | − | 0.967692i | \(-0.581133\pi\) |
0.711977 | + | 0.702202i | \(0.247800\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.50000 | + | 6.06218i | −0.231287 | + | 0.400600i | −0.958187 | − | 0.286143i | \(-0.907627\pi\) |
0.726900 | + | 0.686743i | \(0.240960\pi\) | |||||||
\(230\) | −2.23205 | − | 0.133975i | −0.147177 | − | 0.00883402i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 7.79423 | − | 4.50000i | 0.511716 | − | 0.295439i | ||||
\(233\) | − | 10.0000i | − | 0.655122i | −0.944830 | − | 0.327561i | \(-0.893773\pi\) | ||
0.944830 | − | 0.327561i | \(-0.106227\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −14.0000 | + | 7.00000i | −0.913259 | + | 0.456630i | ||||
\(236\) | −2.00000 | − | 3.46410i | −0.130189 | − | 0.225494i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.73205 | + | 1.00000i | 0.112272 | + | 0.0648204i | ||||
\(239\) | −14.0000 | + | 24.2487i | −0.905585 | + | 1.56852i | −0.0854543 | + | 0.996342i | \(0.527234\pi\) |
−0.820130 | + | 0.572177i | \(0.806099\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.500000 | − | 0.866025i | −0.0322078 | − | 0.0557856i | 0.849472 | − | 0.527633i | \(-0.176921\pi\) |
−0.881680 | + | 0.471848i | \(0.843587\pi\) | |||||||
\(242\) | 7.00000i | 0.449977i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.00000 | 0.448129 | ||||||||
\(245\) | 7.39230 | − | 11.1962i | 0.472277 | − | 0.715296i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 31.1769 | + | 18.0000i | 1.98374 | + | 1.14531i | ||||
\(248\) | 1.73205 | + | 1.00000i | 0.109985 | + | 0.0635001i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 10.5263 | − | 3.76795i | 0.665740 | − | 0.238306i | ||||
\(251\) | −18.0000 | −1.13615 | −0.568075 | − | 0.822977i | \(-0.692312\pi\) | ||||
−0.568075 | + | 0.822977i | \(0.692312\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.00000i | 0.125739i | ||||||||
\(254\) | 9.50000 | + | 16.4545i | 0.596083 | + | 1.03245i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 10.3923 | + | 6.00000i | 0.648254 | + | 0.374270i | 0.787787 | − | 0.615948i | \(-0.211227\pi\) |
−0.139533 | + | 0.990217i | \(0.544560\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.00000 | − | 1.73205i | −0.0621370 | − | 0.107624i | ||||
\(260\) | 12.0000 | − | 6.00000i | 0.744208 | − | 0.372104i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 12.0000i | 0.741362i | ||||||||
\(263\) | 13.8564 | − | 8.00000i | 0.854423 | − | 0.493301i | −0.00771799 | − | 0.999970i | \(-0.502457\pi\) |
0.862141 | + | 0.506669i | \(0.169123\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −3.00000 | + | 5.19615i | −0.183942 | + | 0.318597i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 9.52628 | − | 5.50000i | 0.581910 | − | 0.335966i | ||||
\(269\) | 3.00000 | 0.182913 | 0.0914566 | − | 0.995809i | \(-0.470848\pi\) | ||||
0.0914566 | + | 0.995809i | \(0.470848\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.0000 | −0.850439 | −0.425220 | − | 0.905090i | \(-0.639803\pi\) | ||||
−0.425220 | + | 0.905090i | \(0.639803\pi\) | |||||||
\(272\) | 1.73205 | − | 1.00000i | 0.105021 | − | 0.0606339i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.00000 | − | 10.3923i | 0.362473 | − | 0.627822i | ||||
\(275\) | −3.92820 | − | 9.19615i | −0.236880 | − | 0.554549i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −19.0526 | + | 11.0000i | −1.14476 | + | 0.660926i | −0.947604 | − | 0.319447i | \(-0.896503\pi\) |
−0.197153 | + | 0.980373i | \(0.563170\pi\) | |||||||
\(278\) | 16.0000i | 0.959616i | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.00000 | + | 2.00000i | 0.0597614 | + | 0.119523i | ||||
\(281\) | −1.50000 | − | 2.59808i | −0.0894825 | − | 0.154988i | 0.817810 | − | 0.575488i | \(-0.195188\pi\) |
−0.907293 | + | 0.420500i | \(0.861855\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.866025 | + | 0.500000i | 0.0514799 | + | 0.0297219i | 0.525519 | − | 0.850782i | \(-0.323871\pi\) |
−0.474039 | + | 0.880504i | \(0.657204\pi\) | |||||||
\(284\) | 3.00000 | − | 5.19615i | 0.178017 | − | 0.308335i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.00000 | − | 10.3923i | −0.354787 | − | 0.614510i | ||||
\(287\) | − | 11.0000i | − | 0.649309i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.0000 | 0.764706 | ||||||||
\(290\) | −16.7942 | − | 11.0885i | −0.986191 | − | 0.651137i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.46410 | + | 2.00000i | 0.202721 | + | 0.117041i | ||||
\(293\) | 15.5885 | + | 9.00000i | 0.910687 | + | 0.525786i | 0.880652 | − | 0.473763i | \(-0.157105\pi\) |
0.0300351 | + | 0.999549i | \(0.490438\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.92820 | + | 7.46410i | −0.286931 | + | 0.434577i | ||||
\(296\) | −2.00000 | −0.116248 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.00000i | 0.0579284i | ||||||||
\(299\) | 3.00000 | + | 5.19615i | 0.173494 | + | 0.300501i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.00000 | + | 3.46410i | −0.115278 | + | 0.199667i | ||||
\(302\) | 8.66025 | + | 5.00000i | 0.498342 | + | 0.287718i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.00000 | + | 5.19615i | 0.172062 | + | 0.298020i | ||||
\(305\) | −7.00000 | − | 14.0000i | −0.400819 | − | 0.801638i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 9.00000i | − | 0.513657i | −0.966457 | − | 0.256829i | \(-0.917322\pi\) | ||
0.966457 | − | 0.256829i | \(-0.0826776\pi\) | |||||||
\(308\) | 1.73205 | − | 1.00000i | 0.0986928 | − | 0.0569803i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.267949 | − | 4.46410i | 0.0152185 | − | 0.253544i | ||||
\(311\) | 3.00000 | − | 5.19615i | 0.170114 | − | 0.294647i | −0.768345 | − | 0.640036i | \(-0.778920\pi\) |
0.938460 | + | 0.345389i | \(0.112253\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 19.0526 | − | 11.0000i | 1.07691 | − | 0.621757i | 0.146852 | − | 0.989158i | \(-0.453086\pi\) |
0.930062 | + | 0.367402i | \(0.119753\pi\) | |||||||
\(314\) | 4.00000 | 0.225733 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −12.0000 | −0.675053 | ||||||||
\(317\) | 1.73205 | − | 1.00000i | 0.0972817 | − | 0.0561656i | −0.450570 | − | 0.892741i | \(-0.648779\pi\) |
0.547852 | + | 0.836576i | \(0.315446\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −9.00000 | + | 15.5885i | −0.503903 | + | 0.872786i | ||||
\(320\) | 2.23205 | + | 0.133975i | 0.124775 | + | 0.00748941i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.866025 | + | 0.500000i | −0.0482617 | + | 0.0278639i | ||||
\(323\) | − | 12.0000i | − | 0.667698i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −24.0000 | − | 18.0000i | −1.33128 | − | 0.998460i | ||||
\(326\) | 2.00000 | + | 3.46410i | 0.110770 | + | 0.191859i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −9.52628 | − | 5.50000i | −0.526001 | − | 0.303687i | ||||
\(329\) | −3.50000 | + | 6.06218i | −0.192961 | + | 0.334219i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.00000 | + | 6.92820i | 0.219860 | + | 0.380808i | 0.954765 | − | 0.297361i | \(-0.0961066\pi\) |
−0.734905 | + | 0.678170i | \(0.762773\pi\) | |||||||
\(332\) | 11.0000i | 0.603703i | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.00000 | 0.164153 | ||||||||
\(335\) | −20.5263 | − | 13.5526i | −1.12147 | − | 0.740455i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.92820 | − | 4.00000i | −0.377403 | − | 0.217894i | 0.299285 | − | 0.954164i | \(-0.403252\pi\) |
−0.676688 | + | 0.736270i | \(0.736585\pi\) | |||||||
\(338\) | −19.9186 | − | 11.5000i | −1.08343 | − | 0.625518i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.73205 | − | 2.46410i | −0.202399 | − | 0.133635i | ||||
\(341\) | −4.00000 | −0.216612 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 13.0000i | − | 0.701934i | ||||||
\(344\) | 2.00000 | + | 3.46410i | 0.107833 | + | 0.186772i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.00000 | − | 3.46410i | 0.107521 | − | 0.186231i | ||||
\(347\) | −10.3923 | − | 6.00000i | −0.557888 | − | 0.322097i | 0.194409 | − | 0.980921i | \(-0.437721\pi\) |
−0.752297 | + | 0.658824i | \(0.771054\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.50000 | − | 9.52628i | −0.294408 | − | 0.509930i | 0.680439 | − | 0.732805i | \(-0.261789\pi\) |
−0.974847 | + | 0.222875i | \(0.928456\pi\) | |||||||
\(350\) | 3.00000 | − | 4.00000i | 0.160357 | − | 0.213809i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 2.00000i | − | 0.106600i | ||||||
\(353\) | −13.8564 | + | 8.00000i | −0.737502 | + | 0.425797i | −0.821160 | − | 0.570697i | \(-0.806673\pi\) |
0.0836583 | + | 0.996495i | \(0.473340\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −13.3923 | − | 0.803848i | −0.710790 | − | 0.0426638i | ||||
\(356\) | 0.500000 | − | 0.866025i | 0.0264999 | − | 0.0458993i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.73205 | + | 1.00000i | −0.0915417 | + | 0.0528516i | ||||
\(359\) | 30.0000 | 1.58334 | 0.791670 | − | 0.610949i | \(-0.209212\pi\) | ||||
0.791670 | + | 0.610949i | \(0.209212\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.0000 | 0.894737 | ||||||||
\(362\) | 11.2583 | − | 6.50000i | 0.591725 | − | 0.341632i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.00000 | − | 5.19615i | 0.157243 | − | 0.272352i | ||||
\(365\) | 0.535898 | − | 8.92820i | 0.0280502 | − | 0.467324i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −13.8564 | + | 8.00000i | −0.723299 | + | 0.417597i | −0.815966 | − | 0.578101i | \(-0.803794\pi\) |
0.0926670 | + | 0.995697i | \(0.470461\pi\) | |||||||
\(368\) | 1.00000i | 0.0521286i | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.00000 | + | 4.00000i | 0.103975 | + | 0.207950i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.3923 | + | 6.00000i | 0.538093 | + | 0.310668i | 0.744306 | − | 0.667839i | \(-0.232781\pi\) |
−0.206213 | + | 0.978507i | \(0.566114\pi\) | |||||||
\(374\) | −2.00000 | + | 3.46410i | −0.103418 | + | 0.179124i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.50000 | + | 6.06218i | 0.180499 | + | 0.312633i | ||||
\(377\) | 54.0000i | 2.78114i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 16.0000 | 0.821865 | 0.410932 | − | 0.911666i | \(-0.365203\pi\) | ||||
0.410932 | + | 0.911666i | \(0.365203\pi\) | |||||||
\(380\) | 7.39230 | − | 11.1962i | 0.379217 | − | 0.574351i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.19615 | − | 3.00000i | −0.265858 | − | 0.153493i | ||||
\(383\) | −27.7128 | − | 16.0000i | −1.41606 | − | 0.817562i | −0.420109 | − | 0.907474i | \(-0.638008\pi\) |
−0.995950 | + | 0.0899119i | \(0.971341\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.73205 | − | 2.46410i | −0.190203 | − | 0.125582i | ||||
\(386\) | 10.0000 | 0.508987 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 8.00000i | 0.406138i | ||||||||
\(389\) | −9.50000 | − | 16.4545i | −0.481669 | − | 0.834275i | 0.518110 | − | 0.855314i | \(-0.326636\pi\) |
−0.999779 | + | 0.0210389i | \(0.993303\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.00000 | − | 1.73205i | 0.0505722 | − | 0.0875936i | ||||
\(392\) | −5.19615 | − | 3.00000i | −0.262445 | − | 0.151523i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.00000 | + | 6.92820i | 0.201517 | + | 0.349038i | ||||
\(395\) | 12.0000 | + | 24.0000i | 0.603786 | + | 1.20757i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 4.00000i | − | 0.200754i | −0.994949 | − | 0.100377i | \(-0.967995\pi\) | ||
0.994949 | − | 0.100377i | \(-0.0320049\pi\) | |||||||
\(398\) | −15.5885 | + | 9.00000i | −0.781379 | + | 0.451129i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.96410 | − | 4.59808i | −0.0982051 | − | 0.229904i | ||||
\(401\) | −5.00000 | + | 8.66025i | −0.249688 | + | 0.432472i | −0.963439 | − | 0.267927i | \(-0.913661\pi\) |
0.713751 | + | 0.700399i | \(0.246995\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −10.3923 | + | 6.00000i | −0.517678 | + | 0.298881i | ||||
\(404\) | 2.00000 | 0.0995037 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −9.00000 | −0.446663 | ||||||||
\(407\) | 3.46410 | − | 2.00000i | 0.171709 | − | 0.0991363i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 19.0000 | − | 32.9090i | 0.939490 | − | 1.62724i | 0.173064 | − | 0.984911i | \(-0.444633\pi\) |
0.766426 | − | 0.642333i | \(-0.222033\pi\) | |||||||
\(410\) | −1.47372 | + | 24.5526i | −0.0727819 | + | 1.21256i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −6.92820 | + | 4.00000i | −0.341328 | + | 0.197066i | ||||
\(413\) | 4.00000i | 0.196827i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 22.0000 | − | 11.0000i | 1.07994 | − | 0.539969i | ||||
\(416\) | −3.00000 | − | 5.19615i | −0.147087 | − | 0.254762i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −10.3923 | − | 6.00000i | −0.508304 | − | 0.293470i | ||||
\(419\) | −17.0000 | + | 29.4449i | −0.830504 | + | 1.43848i | 0.0671345 | + | 0.997744i | \(0.478614\pi\) |
−0.897639 | + | 0.440732i | \(0.854719\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11.0000 | − | 19.0526i | −0.536107 | − | 0.928565i | −0.999109 | − | 0.0422075i | \(-0.986561\pi\) |
0.463002 | − | 0.886357i | \(-0.346772\pi\) | |||||||
\(422\) | − | 18.0000i | − | 0.876226i | ||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −1.19615 | + | 9.92820i | −0.0580219 | + | 0.481589i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.06218 | − | 3.50000i | −0.293369 | − | 0.169377i | ||||
\(428\) | −2.59808 | − | 1.50000i | −0.125583 | − | 0.0725052i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.92820 | − | 7.46410i | 0.237659 | − | 0.359951i | ||||
\(431\) | −16.0000 | −0.770693 | −0.385346 | − | 0.922772i | \(-0.625918\pi\) | ||||
−0.385346 | + | 0.922772i | \(0.625918\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 2.00000i | − | 0.0961139i | −0.998845 | − | 0.0480569i | \(-0.984697\pi\) | ||
0.998845 | − | 0.0480569i | \(-0.0153029\pi\) | |||||||
\(434\) | −1.00000 | − | 1.73205i | −0.0480015 | − | 0.0831411i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.50000 | + | 6.06218i | −0.167620 | + | 0.290326i | ||||
\(437\) | 5.19615 | + | 3.00000i | 0.248566 | + | 0.143509i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.0000 | + | 20.7846i | 0.572729 | + | 0.991995i | 0.996284 | + | 0.0861252i | \(0.0274485\pi\) |
−0.423556 | + | 0.905870i | \(0.639218\pi\) | |||||||
\(440\) | −4.00000 | + | 2.00000i | −0.190693 | + | 0.0953463i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 12.0000i | 0.570782i | ||||||||
\(443\) | −7.79423 | + | 4.50000i | −0.370315 | + | 0.213801i | −0.673596 | − | 0.739100i | \(-0.735251\pi\) |
0.303281 | + | 0.952901i | \(0.401918\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.23205 | − | 0.133975i | −0.105809 | − | 0.00635100i | ||||
\(446\) | 11.5000 | − | 19.9186i | 0.544541 | − | 0.943172i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.866025 | − | 0.500000i | 0.0409159 | − | 0.0236228i | ||||
\(449\) | 18.0000 | 0.849473 | 0.424736 | − | 0.905317i | \(-0.360367\pi\) | ||||
0.424736 | + | 0.905317i | \(0.360367\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 22.0000 | 1.03594 | ||||||||
\(452\) | −10.3923 | + | 6.00000i | −0.488813 | + | 0.282216i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.00000 | + | 6.92820i | −0.187729 | + | 0.325157i | ||||
\(455\) | −13.3923 | − | 0.803848i | −0.627841 | − | 0.0376850i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.66025 | + | 5.00000i | −0.405110 | + | 0.233890i | −0.688686 | − | 0.725059i | \(-0.741812\pi\) |
0.283577 | + | 0.958950i | \(0.408479\pi\) | |||||||
\(458\) | − | 7.00000i | − | 0.327089i | ||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.00000 | − | 1.00000i | 0.0932505 | − | 0.0466252i | ||||
\(461\) | −10.5000 | − | 18.1865i | −0.489034 | − | 0.847031i | 0.510887 | − | 0.859648i | \(-0.329317\pi\) |
−0.999920 | + | 0.0126168i | \(0.995984\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 31.1769 | + | 18.0000i | 1.44891 | + | 0.836531i | 0.998417 | − | 0.0562469i | \(-0.0179134\pi\) |
0.450497 | + | 0.892778i | \(0.351247\pi\) | |||||||
\(464\) | −4.50000 | + | 7.79423i | −0.208907 | + | 0.361838i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 5.00000 | + | 8.66025i | 0.231621 | + | 0.401179i | ||||
\(467\) | − | 36.0000i | − | 1.66588i | −0.553362 | − | 0.832941i | \(-0.686655\pi\) | ||
0.553362 | − | 0.832941i | \(-0.313345\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −11.0000 | −0.507933 | ||||||||
\(470\) | 8.62436 | − | 13.0622i | 0.397812 | − | 0.602513i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.46410 | + | 2.00000i | 0.159448 | + | 0.0920575i | ||||
\(473\) | −6.92820 | − | 4.00000i | −0.318559 | − | 0.183920i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −29.7846 | − | 3.58846i | −1.36661 | − | 0.164650i | ||||
\(476\) | −2.00000 | −0.0916698 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | − | 28.0000i | − | 1.28069i | ||||||
\(479\) | −14.0000 | − | 24.2487i | −0.639676 | − | 1.10795i | −0.985504 | − | 0.169654i | \(-0.945735\pi\) |
0.345827 | − | 0.938298i | \(-0.387598\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.00000 | − | 10.3923i | 0.273576 | − | 0.473848i | ||||
\(482\) | 0.866025 | + | 0.500000i | 0.0394464 | + | 0.0227744i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.50000 | − | 6.06218i | −0.159091 | − | 0.275554i | ||||
\(485\) | 16.0000 | − | 8.00000i | 0.726523 | − | 0.363261i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 12.0000i | − | 0.543772i | −0.962329 | − | 0.271886i | \(-0.912353\pi\) | ||
0.962329 | − | 0.271886i | \(-0.0876473\pi\) | |||||||
\(488\) | −6.06218 | + | 3.50000i | −0.274422 | + | 0.158438i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.803848 | + | 13.3923i | −0.0363141 | + | 0.605003i | ||||
\(491\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 15.5885 | − | 9.00000i | 0.702069 | − | 0.405340i | ||||
\(494\) | −36.0000 | −1.61972 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.00000 | −0.0898027 | ||||||||
\(497\) | −5.19615 | + | 3.00000i | −0.233079 | + | 0.134568i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −12.0000 | + | 20.7846i | −0.537194 | + | 0.930447i | 0.461860 | + | 0.886953i | \(0.347182\pi\) |
−0.999054 | + | 0.0434940i | \(0.986151\pi\) | |||||||
\(500\) | −7.23205 | + | 8.52628i | −0.323427 | + | 0.381307i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 15.5885 | − | 9.00000i | 0.695747 | − | 0.401690i | ||||
\(503\) | 27.0000i | 1.20387i | 0.798545 | + | 0.601935i | \(0.205603\pi\) | ||||
−0.798545 | + | 0.601935i | \(0.794397\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.00000 | − | 4.00000i | −0.0889988 | − | 0.177998i | ||||
\(506\) | −1.00000 | − | 1.73205i | −0.0444554 | − | 0.0769991i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −16.4545 | − | 9.50000i | −0.730050 | − | 0.421494i | ||||
\(509\) | 7.50000 | − | 12.9904i | 0.332432 | − | 0.575789i | −0.650556 | − | 0.759458i | \(-0.725464\pi\) |
0.982988 | + | 0.183669i | \(0.0587976\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.00000 | − | 3.46410i | −0.0884748 | − | 0.153243i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.0000 | −0.529297 | ||||||||
\(515\) | 14.9282 | + | 9.85641i | 0.657815 | + | 0.434325i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −12.1244 | − | 7.00000i | −0.533229 | − | 0.307860i | ||||
\(518\) | 1.73205 | + | 1.00000i | 0.0761019 | + | 0.0439375i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −7.39230 | + | 11.1962i | −0.324174 | + | 0.490984i | ||||
\(521\) | 37.0000 | 1.62100 | 0.810500 | − | 0.585739i | \(-0.199196\pi\) | ||||
0.810500 | + | 0.585739i | \(0.199196\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 29.0000i | 1.26808i | 0.773300 | + | 0.634041i | \(0.218605\pi\) | ||||
−0.773300 | + | 0.634041i | \(0.781395\pi\) | |||||||
\(524\) | −6.00000 | − | 10.3923i | −0.262111 | − | 0.453990i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.00000 | + | 13.8564i | −0.348817 | + | 0.604168i | ||||
\(527\) | 3.46410 | + | 2.00000i | 0.150899 | + | 0.0871214i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.0000 | − | 19.0526i | −0.478261 | − | 0.828372i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | − | 6.00000i | − | 0.260133i | ||||||
\(533\) | 57.1577 | − | 33.0000i | 2.47577 | − | 1.42939i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.401924 | + | 6.69615i | −0.0173767 | + | 0.289500i | ||||
\(536\) | −5.50000 | + | 9.52628i | −0.237564 | + | 0.411473i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.59808 | + | 1.50000i | −0.112011 | + | 0.0646696i | ||||
\(539\) | 12.0000 | 0.516877 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −17.0000 | −0.730887 | −0.365444 | − | 0.930834i | \(-0.619083\pi\) | ||||
−0.365444 | + | 0.930834i | \(0.619083\pi\) | |||||||
\(542\) | 12.1244 | − | 7.00000i | 0.520786 | − | 0.300676i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.00000 | + | 1.73205i | −0.0428746 | + | 0.0742611i | ||||
\(545\) | 15.6244 | + | 0.937822i | 0.669274 | + | 0.0401719i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 30.3109 | − | 17.5000i | 1.29600 | − | 0.748246i | 0.316289 | − | 0.948663i | \(-0.397563\pi\) |
0.979711 | + | 0.200417i | \(0.0642296\pi\) | |||||||
\(548\) | 12.0000i | 0.512615i | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 8.00000 | + | 6.00000i | 0.341121 | + | 0.255841i | ||||
\(551\) | 27.0000 | + | 46.7654i | 1.15024 | + | 1.99227i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 10.3923 | + | 6.00000i | 0.441926 | + | 0.255146i | ||||
\(554\) | 11.0000 | − | 19.0526i | 0.467345 | − | 0.809466i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.00000 | − | 13.8564i | −0.339276 | − | 0.587643i | ||||
\(557\) | 24.0000i | 1.01691i | 0.861088 | + | 0.508456i | \(0.169784\pi\) | ||||
−0.861088 | + | 0.508456i | \(0.830216\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −24.0000 | −1.01509 | ||||||||
\(560\) | −1.86603 | − | 1.23205i | −0.0788540 | − | 0.0520636i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.59808 | + | 1.50000i | 0.109593 | + | 0.0632737i | ||||
\(563\) | 32.0429 | + | 18.5000i | 1.35045 | + | 0.779682i | 0.988312 | − | 0.152443i | \(-0.0487140\pi\) |
0.362137 | + | 0.932125i | \(0.382047\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 22.3923 | + | 14.7846i | 0.942051 | + | 0.621993i | ||||
\(566\) | −1.00000 | −0.0420331 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 6.00000i | 0.251754i | ||||||||
\(569\) | 1.00000 | + | 1.73205i | 0.0419222 | + | 0.0726113i | 0.886225 | − | 0.463255i | \(-0.153319\pi\) |
−0.844303 | + | 0.535866i | \(0.819985\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.0000 | − | 17.3205i | 0.418487 | − | 0.724841i | −0.577301 | − | 0.816532i | \(-0.695894\pi\) |
0.995788 | + | 0.0916910i | \(0.0292272\pi\) | |||||||
\(572\) | 10.3923 | + | 6.00000i | 0.434524 | + | 0.250873i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 5.50000 | + | 9.52628i | 0.229566 | + | 0.397619i | ||||
\(575\) | −4.00000 | − | 3.00000i | −0.166812 | − | 0.125109i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 32.0000i | 1.33218i | 0.745873 | + | 0.666089i | \(0.232033\pi\) | ||||
−0.745873 | + | 0.666089i | \(0.767967\pi\) | |||||||
\(578\) | −11.2583 | + | 6.50000i | −0.468285 | + | 0.270364i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 20.0885 | + | 1.20577i | 0.834128 | + | 0.0500669i | ||||
\(581\) | 5.50000 | − | 9.52628i | 0.228178 | − | 0.395217i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −4.00000 | −0.165521 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −18.0000 | −0.743573 | ||||||||
\(587\) | −2.59808 | + | 1.50000i | −0.107234 | + | 0.0619116i | −0.552658 | − | 0.833408i | \(-0.686386\pi\) |
0.445424 | + | 0.895320i | \(0.353053\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.00000 | + | 10.3923i | −0.247226 | + | 0.428207i | ||||
\(590\) | 0.535898 | − | 8.92820i | 0.0220626 | − | 0.367568i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.73205 | − | 1.00000i | 0.0711868 | − | 0.0410997i | ||||
\(593\) | − | 30.0000i | − | 1.23195i | −0.787765 | − | 0.615976i | \(-0.788762\pi\) | ||
0.787765 | − | 0.615976i | \(-0.211238\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.00000 | + | 4.00000i | 0.0819920 | + | 0.163984i | ||||
\(596\) | −0.500000 | − | 0.866025i | −0.0204808 | − | 0.0354738i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −5.19615 | − | 3.00000i | −0.212486 | − | 0.122679i | ||||
\(599\) | 6.00000 | − | 10.3923i | 0.245153 | − | 0.424618i | −0.717021 | − | 0.697051i | \(-0.754495\pi\) |
0.962175 | + | 0.272433i | \(0.0878284\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.0000 | + | 19.0526i | 0.448699 | + | 0.777170i | 0.998302 | − | 0.0582563i | \(-0.0185541\pi\) |
−0.549602 | + | 0.835426i | \(0.685221\pi\) | |||||||
\(602\) | − | 4.00000i | − | 0.163028i | ||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −10.0000 | −0.406894 | ||||||||
\(605\) | −8.62436 | + | 13.0622i | −0.350630 | + | 0.531053i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.866025 | − | 0.500000i | −0.0351509 | − | 0.0202944i | 0.482322 | − | 0.875994i | \(-0.339794\pi\) |
−0.517472 | + | 0.855700i | \(0.673127\pi\) | |||||||
\(608\) | −5.19615 | − | 3.00000i | −0.210732 | − | 0.121666i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 13.0622 | + | 8.62436i | 0.528872 | + | 0.349190i | ||||
\(611\) | −42.0000 | −1.69914 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 34.0000i | 1.37325i | 0.727013 | + | 0.686624i | \(0.240908\pi\) | ||||
−0.727013 | + | 0.686624i | \(0.759092\pi\) | |||||||
\(614\) | 4.50000 | + | 7.79423i | 0.181605 | + | 0.314549i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.00000 | + | 1.73205i | −0.0402911 | + | 0.0697863i | ||||
\(617\) | −27.7128 | − | 16.0000i | −1.11568 | − | 0.644136i | −0.175382 | − | 0.984500i | \(-0.556116\pi\) |
−0.940294 | + | 0.340365i | \(0.889449\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5.00000 | − | 8.66025i | −0.200967 | − | 0.348085i | 0.747873 | − | 0.663842i | \(-0.231075\pi\) |
−0.948840 | + | 0.315757i | \(0.897742\pi\) | |||||||
\(620\) | 2.00000 | + | 4.00000i | 0.0803219 | + | 0.160644i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 6.00000i | 0.240578i | ||||||||
\(623\) | −0.866025 | + | 0.500000i | −0.0346966 | + | 0.0200321i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.2846 | + | 5.93782i | 0.971384 | + | 0.237513i | ||||
\(626\) | −11.0000 | + | 19.0526i | −0.439648 | + | 0.761493i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.46410 | + | 2.00000i | −0.138233 | + | 0.0798087i | ||||
\(629\) | −4.00000 | −0.159490 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.00000 | 0.318475 | 0.159237 | − | 0.987240i | \(-0.449096\pi\) | ||||
0.159237 | + | 0.987240i | \(0.449096\pi\) | |||||||
\(632\) | 10.3923 | − | 6.00000i | 0.413384 | − | 0.238667i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.00000 | + | 1.73205i | −0.0397151 | + | 0.0687885i | ||||
\(635\) | −2.54552 | + | 42.4090i | −0.101016 | + | 1.68295i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 31.1769 | − | 18.0000i | 1.23527 | − | 0.713186i | ||||
\(638\) | − | 18.0000i | − | 0.712627i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.00000 | + | 1.00000i | −0.0790569 | + | 0.0395285i | ||||
\(641\) | 6.50000 | + | 11.2583i | 0.256735 | + | 0.444677i | 0.965365 | − | 0.260902i | \(-0.0840201\pi\) |
−0.708631 | + | 0.705580i | \(0.750687\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −28.5788 | − | 16.5000i | −1.12704 | − | 0.650696i | −0.183851 | − | 0.982954i | \(-0.558856\pi\) |
−0.943189 | + | 0.332258i | \(0.892190\pi\) | |||||||
\(644\) | 0.500000 | − | 0.866025i | 0.0197028 | − | 0.0341262i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.00000 | + | 10.3923i | 0.236067 | + | 0.408880i | ||||
\(647\) | − | 33.0000i | − | 1.29736i | −0.761060 | − | 0.648682i | \(-0.775321\pi\) | ||
0.761060 | − | 0.648682i | \(-0.224679\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8.00000 | −0.314027 | ||||||||
\(650\) | 29.7846 | + | 3.58846i | 1.16825 | + | 0.140751i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.46410 | − | 2.00000i | −0.135665 | − | 0.0783260i | ||||
\(653\) | 22.5167 | + | 13.0000i | 0.881145 | + | 0.508729i | 0.871036 | − | 0.491220i | \(-0.163449\pi\) |
0.0101092 | + | 0.999949i | \(0.496782\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −14.7846 | + | 22.3923i | −0.577683 | + | 0.874940i | ||||
\(656\) | 11.0000 | 0.429478 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | − | 7.00000i | − | 0.272888i | ||||||
\(659\) | −10.0000 | − | 17.3205i | −0.389545 | − | 0.674711i | 0.602844 | − | 0.797859i | \(-0.294034\pi\) |
−0.992388 | + | 0.123148i | \(0.960701\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.00000 | − | 8.66025i | 0.194477 | − | 0.336845i | −0.752252 | − | 0.658876i | \(-0.771032\pi\) |
0.946729 | + | 0.322031i | \(0.104366\pi\) | |||||||
\(662\) | −6.92820 | − | 4.00000i | −0.269272 | − | 0.155464i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −5.50000 | − | 9.52628i | −0.213441 | − | 0.369691i | ||||
\(665\) | −12.0000 | + | 6.00000i | −0.465340 | + | 0.232670i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 9.00000i | 0.348481i | ||||||||
\(668\) | −2.59808 | + | 1.50000i | −0.100523 | + | 0.0580367i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 24.5526 | + | 1.47372i | 0.948548 | + | 0.0569348i | ||||
\(671\) | 7.00000 | − | 12.1244i | 0.270232 | − | 0.468056i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.19615 | + | 3.00000i | −0.200297 | + | 0.115642i | −0.596794 | − | 0.802395i | \(-0.703559\pi\) |
0.396497 | + | 0.918036i | \(0.370226\pi\) | |||||||
\(674\) | 8.00000 | 0.308148 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 23.0000 | 0.884615 | ||||||||
\(677\) | −19.0526 | + | 11.0000i | −0.732249 | + | 0.422764i | −0.819244 | − | 0.573444i | \(-0.805607\pi\) |
0.0869952 | + | 0.996209i | \(0.472274\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.00000 | − | 6.92820i | 0.153506 | − | 0.265880i | ||||
\(680\) | 4.46410 | + | 0.267949i | 0.171190 | + | 0.0102754i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.46410 | − | 2.00000i | 0.132647 | − | 0.0765840i | ||||
\(683\) | 4.00000i | 0.153056i | 0.997067 | + | 0.0765279i | \(0.0243834\pi\) | ||||
−0.997067 | + | 0.0765279i | \(0.975617\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 24.0000 | − | 12.0000i | 0.916993 | − | 0.458496i | ||||
\(686\) | 6.50000 | + | 11.2583i | 0.248171 | + | 0.429845i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3.46410 | − | 2.00000i | −0.132068 | − | 0.0762493i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.0000 | + | 38.1051i | 0.836919 | + | 1.44959i | 0.892458 | + | 0.451130i | \(0.148979\pi\) |
−0.0555386 | + | 0.998457i | \(0.517688\pi\) | |||||||
\(692\) | 4.00000i | 0.152057i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 12.0000 | 0.455514 | ||||||||
\(695\) | −19.7128 | + | 29.8564i | −0.747750 | + | 1.13252i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −19.0526 | − | 11.0000i | −0.721667 | − | 0.416655i | ||||
\(698\) | 9.52628 | + | 5.50000i | 0.360575 | + | 0.208178i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.598076 | + | 4.96410i | −0.0226052 | + | 0.187625i | ||||
\(701\) | −13.0000 | −0.491003 | −0.245502 | − | 0.969396i | \(-0.578953\pi\) | ||||
−0.245502 | + | 0.969396i | \(0.578953\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 12.0000i | − | 0.452589i | ||||||
\(704\) | 1.00000 | + | 1.73205i | 0.0376889 | + | 0.0652791i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 8.00000 | − | 13.8564i | 0.301084 | − | 0.521493i | ||||
\(707\) | −1.73205 | − | 1.00000i | −0.0651405 | − | 0.0376089i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −13.5000 | − | 23.3827i | −0.507003 | − | 0.878155i | −0.999967 | − | 0.00810550i | \(-0.997420\pi\) |
0.492964 | − | 0.870050i | \(-0.335913\pi\) | |||||||
\(710\) | 12.0000 | − | 6.00000i | 0.450352 | − | 0.225176i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.00000i | 0.0374766i | ||||||||
\(713\) | −1.73205 | + | 1.00000i | −0.0648658 | + | 0.0374503i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.60770 | − | 26.7846i | 0.0601244 | − | 1.00169i | ||||
\(716\) | 1.00000 | − | 1.73205i | 0.0373718 | − | 0.0647298i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −25.9808 | + | 15.0000i | −0.969593 | + | 0.559795i | ||||
\(719\) | −44.0000 | −1.64092 | −0.820462 | − | 0.571702i | \(-0.806283\pi\) | ||||
−0.820462 | + | 0.571702i | \(0.806283\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 8.00000 | 0.297936 | ||||||||
\(722\) | −14.7224 | + | 8.50000i | −0.547912 | + | 0.316337i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −6.50000 | + | 11.2583i | −0.241571 | + | 0.418413i | ||||
\(725\) | −17.6769 | − | 41.3827i | −0.656504 | − | 1.53691i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 18.1865 | − | 10.5000i | 0.674501 | − | 0.389423i | −0.123279 | − | 0.992372i | \(-0.539341\pi\) |
0.797780 | + | 0.602949i | \(0.206008\pi\) | |||||||
\(728\) | 6.00000i | 0.222375i | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 4.00000 | + | 8.00000i | 0.148047 | + | 0.296093i | ||||
\(731\) | 4.00000 | + | 6.92820i | 0.147945 | + | 0.256249i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.46410 | + | 2.00000i | 0.127950 | + | 0.0738717i | 0.562609 | − | 0.826723i | \(-0.309798\pi\) |
−0.434659 | + | 0.900595i | \(0.643131\pi\) | |||||||
\(734\) | 8.00000 | − | 13.8564i | 0.295285 | − | 0.511449i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.500000 | − | 0.866025i | −0.0184302 | − | 0.0319221i | ||||
\(737\) | − | 22.0000i | − | 0.810380i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −40.0000 | −1.47142 | −0.735712 | − | 0.677295i | \(-0.763152\pi\) | ||||
−0.735712 | + | 0.677295i | \(0.763152\pi\) | |||||||
\(740\) | −3.73205 | − | 2.46410i | −0.137193 | − | 0.0905822i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 12.9904 | + | 7.50000i | 0.476571 | + | 0.275148i | 0.718986 | − | 0.695024i | \(-0.244606\pi\) |
−0.242415 | + | 0.970173i | \(0.577940\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.23205 | + | 1.86603i | −0.0451388 | + | 0.0683659i | ||||
\(746\) | −12.0000 | −0.439351 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 4.00000i | − | 0.146254i | ||||||
\(749\) | 1.50000 | + | 2.59808i | 0.0548088 | + | 0.0949316i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13.0000 | + | 22.5167i | −0.474377 | + | 0.821645i | −0.999570 | − | 0.0293387i | \(-0.990660\pi\) |
0.525193 | + | 0.850983i | \(0.323993\pi\) | |||||||
\(752\) | −6.06218 | − | 3.50000i | −0.221065 | − | 0.127632i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −27.0000 | − | 46.7654i | −0.983282 | − | 1.70309i | ||||
\(755\) | 10.0000 | + | 20.0000i | 0.363937 | + | 0.727875i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 10.0000i | − | 0.363456i | −0.983349 | − | 0.181728i | \(-0.941831\pi\) | ||
0.983349 | − | 0.181728i | \(-0.0581691\pi\) | |||||||
\(758\) | −13.8564 | + | 8.00000i | −0.503287 | + | 0.290573i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.803848 | + | 13.3923i | −0.0291586 | + | 0.485790i | ||||
\(761\) | −4.50000 | + | 7.79423i | −0.163125 | + | 0.282541i | −0.935988 | − | 0.352032i | \(-0.885491\pi\) |
0.772863 | + | 0.634573i | \(0.218824\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.06218 | − | 3.50000i | 0.219466 | − | 0.126709i | ||||
\(764\) | 6.00000 | 0.217072 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 32.0000 | 1.15621 | ||||||||
\(767\) | −20.7846 | + | 12.0000i | −0.750489 | + | 0.433295i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.50000 | + | 12.9904i | −0.270457 | + | 0.468445i | −0.968979 | − | 0.247143i | \(-0.920508\pi\) |
0.698522 | + | 0.715589i | \(0.253841\pi\) | |||||||
\(770\) | 4.46410 | + | 0.267949i | 0.160875 | + | 0.00965622i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −8.66025 | + | 5.00000i | −0.311689 | + | 0.179954i | ||||
\(773\) | 12.0000i | 0.431610i | 0.976436 | + | 0.215805i | \(0.0692376\pi\) | ||||
−0.976436 | + | 0.215805i | \(0.930762\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.00000 | − | 8.00000i | 0.215526 | − | 0.287368i | ||||
\(776\) | −4.00000 | − | 6.92820i | −0.143592 | − | 0.248708i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 16.4545 | + | 9.50000i | 0.589922 | + | 0.340592i | ||||
\(779\) | 33.0000 | − | 57.1577i | 1.18235 | − | 2.04789i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.00000 | − | 10.3923i | −0.214697 | − | 0.371866i | ||||
\(782\) | 2.00000i | 0.0715199i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.00000 | 0.214286 | ||||||||
\(785\) | 7.46410 | + | 4.92820i | 0.266405 | + | 0.175895i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −38.1051 | − | 22.0000i | −1.35830 | − | 0.784215i | −0.368906 | − | 0.929467i | \(-0.620268\pi\) |
−0.989395 | + | 0.145251i | \(0.953601\pi\) | |||||||
\(788\) | −6.92820 | − | 4.00000i | −0.246807 | − | 0.142494i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −22.3923 | − | 14.7846i | −0.796682 | − | 0.526013i | ||||
\(791\) | 12.0000 | 0.426671 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 42.0000i | − | 1.49146i | ||||||
\(794\) | 2.00000 | + | 3.46410i | 0.0709773 | + | 0.122936i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 9.00000 | − | 15.5885i | 0.318997 | − | 0.552518i | ||||
\(797\) | −1.73205 | − | 1.00000i | −0.0613524 | − | 0.0354218i | 0.469010 | − | 0.883193i | \(-0.344611\pi\) |
−0.530362 | + | 0.847771i | \(0.677944\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.00000 | + | 12.1244i | 0.247642 | + | 0.428929i | ||||
\(800\) | 4.00000 | + | 3.00000i | 0.141421 | + | 0.106066i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | − | 10.0000i | − | 0.353112i | ||||||
\(803\) | 6.92820 | − | 4.00000i | 0.244491 | − | 0.141157i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.23205 | − | 0.133975i | −0.0786695 | − | 0.00472198i | ||||
\(806\) | 6.00000 | − | 10.3923i | 0.211341 | − | 0.366053i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.73205 | + | 1.00000i | −0.0609333 | + | 0.0351799i | ||||
\(809\) | −30.0000 | −1.05474 | −0.527372 | − | 0.849635i | \(-0.676823\pi\) | ||||
−0.527372 | + | 0.849635i | \(0.676823\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −20.0000 | −0.702295 | −0.351147 | − | 0.936320i | \(-0.614208\pi\) | ||||
−0.351147 | + | 0.936320i | \(0.614208\pi\) | |||||||
\(812\) | 7.79423 | − | 4.50000i | 0.273524 | − | 0.157919i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.00000 | + | 3.46410i | −0.0701000 | + | 0.121417i | ||||
\(815\) | −0.535898 | + | 8.92820i | −0.0187717 | + | 0.312741i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −20.7846 | + | 12.0000i | −0.727161 | + | 0.419827i | ||||
\(818\) | 38.0000i | 1.32864i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −11.0000 | − | 22.0000i | −0.384137 | − | 0.768273i | ||||
\(821\) | −15.5000 | − | 26.8468i | −0.540954 | − | 0.936959i | −0.998850 | − | 0.0479535i | \(-0.984730\pi\) |
0.457896 | − | 0.889006i | \(-0.348603\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 12.9904 | + | 7.50000i | 0.452816 | + | 0.261434i | 0.709019 | − | 0.705190i | \(-0.249138\pi\) |
−0.256203 | + | 0.966623i | \(0.582471\pi\) | |||||||
\(824\) | 4.00000 | − | 6.92820i | 0.139347 | − | 0.241355i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.00000 | − | 3.46410i | −0.0695889 | − | 0.120532i | ||||
\(827\) | 35.0000i | 1.21707i | 0.793527 | + | 0.608535i | \(0.208242\pi\) | ||||
−0.793527 | + | 0.608535i | \(0.791758\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.0000 | −0.520972 | −0.260486 | − | 0.965478i | \(-0.583883\pi\) | ||||
−0.260486 | + | 0.965478i | \(0.583883\pi\) | |||||||
\(830\) | −13.5526 | + | 20.5263i | −0.470416 | + | 0.712478i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 5.19615 | + | 3.00000i | 0.180144 | + | 0.104006i | ||||
\(833\) | −10.3923 | − | 6.00000i | −0.360072 | − | 0.207888i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.59808 | + | 3.69615i | 0.193729 | + | 0.127911i | ||||
\(836\) | 12.0000 | 0.415029 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | − | 34.0000i | − | 1.17451i | ||||||
\(839\) | −19.0000 | − | 32.9090i | −0.655953 | − | 1.13614i | −0.981654 | − | 0.190671i | \(-0.938934\pi\) |
0.325701 | − | 0.945473i | \(-0.394400\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −26.0000 | + | 45.0333i | −0.896552 | + | 1.55287i | ||||
\(842\) | 19.0526 | + | 11.0000i | 0.656595 | + | 0.379085i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 9.00000 | + | 15.5885i | 0.309793 | + | 0.536577i | ||||
\(845\) | −23.0000 | − | 46.0000i | −0.791224 | − | 1.58245i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.00000i | 0.240523i | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −3.92820 | − | 9.19615i | −0.134736 | − | 0.315425i | ||||
\(851\) | 1.00000 | − | 1.73205i | 0.0342796 | − | 0.0593739i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −39.8372 | + | 23.0000i | −1.36400 | + | 0.787505i | −0.990153 | − | 0.139986i | \(-0.955294\pi\) |
−0.373845 | + | 0.927491i | \(0.621961\pi\) | |||||||
\(854\) | 7.00000 | 0.239535 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.00000 | 0.102538 | ||||||||
\(857\) | 15.5885 | − | 9.00000i | 0.532492 | − | 0.307434i | −0.209539 | − | 0.977800i | \(-0.567196\pi\) |
0.742030 | + | 0.670366i | \(0.233863\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 7.00000 | − | 12.1244i | 0.238837 | − | 0.413678i | −0.721544 | − | 0.692369i | \(-0.756567\pi\) |
0.960381 | + | 0.278691i | \(0.0899005\pi\) | |||||||
\(860\) | −0.535898 | + | 8.92820i | −0.0182740 | + | 0.304449i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 13.8564 | − | 8.00000i | 0.471951 | − | 0.272481i | ||||
\(863\) | − | 45.0000i | − | 1.53182i | −0.642949 | − | 0.765909i | \(-0.722289\pi\) | ||
0.642949 | − | 0.765909i | \(-0.277711\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 8.00000 | − | 4.00000i | 0.272008 | − | 0.136004i | ||||
\(866\) | 1.00000 | + | 1.73205i | 0.0339814 | + | 0.0588575i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.73205 | + | 1.00000i | 0.0587896 | + | 0.0339422i | ||||
\(869\) | −12.0000 | + | 20.7846i | −0.407072 | + | 0.705070i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −33.0000 | − | 57.1577i | −1.11816 | − | 1.93671i | ||||
\(872\) | − | 7.00000i | − | 0.237050i | ||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −6.00000 | −0.202953 | ||||||||
\(875\) | 10.5263 | − | 3.76795i | 0.355853 | − | 0.127380i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −39.8372 | − | 23.0000i | −1.34521 | − | 0.776655i | −0.357640 | − | 0.933860i | \(-0.616418\pi\) |
−0.987566 | + | 0.157205i | \(0.949752\pi\) | |||||||
\(878\) | −20.7846 | − | 12.0000i | −0.701447 | − | 0.404980i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.46410 | − | 3.73205i | 0.0830648 | − | 0.125807i | ||||
\(881\) | 15.0000 | 0.505363 | 0.252681 | − | 0.967550i | \(-0.418688\pi\) | ||||
0.252681 | + | 0.967550i | \(0.418688\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 3.00000i | − | 0.100958i | −0.998725 | − | 0.0504790i | \(-0.983925\pi\) | ||
0.998725 | − | 0.0504790i | \(-0.0160748\pi\) | |||||||
\(884\) | −6.00000 | − | 10.3923i | −0.201802 | − | 0.349531i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 4.50000 | − | 7.79423i | 0.151180 | − | 0.261852i | ||||
\(887\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.50000 | + | 16.4545i | 0.318620 | + | 0.551866i | ||||
\(890\) | 2.00000 | − | 1.00000i | 0.0670402 | − | 0.0335201i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 23.0000i | 0.770097i | ||||||||
\(893\) | −36.3731 | + | 21.0000i | −1.21718 | + | 0.702738i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −4.46410 | − | 0.267949i | −0.149218 | − | 0.00895655i | ||||
\(896\) | −0.500000 | + | 0.866025i | −0.0167038 | + | 0.0289319i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −15.5885 | + | 9.00000i | −0.520194 | + | 0.300334i | ||||
\(899\) | −18.0000 | −0.600334 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −19.0526 | + | 11.0000i | −0.634381 | + | 0.366260i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 6.00000 | − | 10.3923i | 0.199557 | − | 0.345643i | ||||
\(905\) | 29.0167 | + | 1.74167i | 0.964546 | + | 0.0578951i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 28.5788 | − | 16.5000i | 0.948945 | − | 0.547874i | 0.0561918 | − | 0.998420i | \(-0.482104\pi\) |
0.892753 | + | 0.450546i | \(0.148771\pi\) | |||||||
\(908\) | − | 8.00000i | − | 0.265489i | ||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 12.0000 | − | 6.00000i | 0.397796 | − | 0.198898i | ||||
\(911\) | 6.00000 | + | 10.3923i | 0.198789 | + | 0.344312i | 0.948136 | − | 0.317865i | \(-0.102966\pi\) |
−0.749347 | + | 0.662177i | \(0.769633\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 19.0526 | + | 11.0000i | 0.630548 | + | 0.364047i | ||||
\(914\) | 5.00000 | − | 8.66025i | 0.165385 | − | 0.286456i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 3.50000 | + | 6.06218i | 0.115643 | + | 0.200300i | ||||
\(917\) | 12.0000i | 0.396275i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 36.0000 | 1.18753 | 0.593765 | − | 0.804638i | \(-0.297641\pi\) | ||||
0.593765 | + | 0.804638i | \(0.297641\pi\) | |||||||
\(920\) | −1.23205 | + | 1.86603i | −0.0406195 | + | 0.0615210i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 18.1865 | + | 10.5000i | 0.598942 | + | 0.345799i | ||||
\(923\) | −31.1769 | − | 18.0000i | −1.02620 | − | 0.592477i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.19615 | + | 9.92820i | −0.0393292 | + | 0.326437i | ||||
\(926\) | −36.0000 | −1.18303 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | − | 9.00000i | − | 0.295439i | ||||||
\(929\) | 9.00000 | + | 15.5885i | 0.295280 | + | 0.511441i | 0.975050 | − | 0.221985i | \(-0.0712536\pi\) |
−0.679770 | + | 0.733426i | \(0.737920\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 18.0000 | − | 31.1769i | 0.589926 | − | 1.02178i | ||||
\(932\) | −8.66025 | − | 5.00000i | −0.283676 | − | 0.163780i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 18.0000 | + | 31.1769i | 0.588978 | + | 1.02014i | ||||
\(935\) | −8.00000 | + | 4.00000i | −0.261628 | + | 0.130814i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 52.0000i | 1.69877i | 0.527777 | + | 0.849383i | \(0.323026\pi\) | ||||
−0.527777 | + | 0.849383i | \(0.676974\pi\) | |||||||
\(938\) | 9.52628 | − | 5.50000i | 0.311044 | − | 0.179581i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.937822 | + | 15.6244i | −0.0305884 | + | 0.509610i | ||||
\(941\) | −20.5000 | + | 35.5070i | −0.668281 | + | 1.15750i | 0.310104 | + | 0.950703i | \(0.399636\pi\) |
−0.978385 | + | 0.206794i | \(0.933697\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 9.52628 | − | 5.50000i | 0.310218 | − | 0.179105i | ||||
\(944\) | −4.00000 | −0.130189 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 8.00000 | 0.260102 | ||||||||
\(947\) | 44.1673 | − | 25.5000i | 1.43524 | − | 0.828639i | 0.437730 | − | 0.899106i | \(-0.355783\pi\) |
0.997514 | + | 0.0704677i | \(0.0224492\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 12.0000 | − | 20.7846i | 0.389536 | − | 0.674697i | ||||
\(950\) | 27.5885 | − | 11.7846i | 0.895088 | − | 0.382343i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.73205 | − | 1.00000i | 0.0561361 | − | 0.0324102i | ||||
\(953\) | 2.00000i | 0.0647864i | 0.999475 | + | 0.0323932i | \(0.0103129\pi\) | ||||
−0.999475 | + | 0.0323932i | \(0.989687\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −6.00000 | − | 12.0000i | −0.194155 | − | 0.388311i | ||||
\(956\) | 14.0000 | + | 24.2487i | 0.452792 | + | 0.784259i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 24.2487 | + | 14.0000i | 0.783440 | + | 0.452319i | ||||
\(959\) | 6.00000 | − | 10.3923i | 0.193750 | − | 0.335585i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.5000 | + | 23.3827i | 0.435484 | + | 0.754280i | ||||
\(962\) | 12.0000i | 0.386896i | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.00000 | −0.0322078 | ||||||||
\(965\) | 18.6603 | + | 12.3205i | 0.600695 | + | 0.396611i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 14.7224 | + | 8.50000i | 0.473441 | + | 0.273342i | 0.717679 | − | 0.696374i | \(-0.245204\pi\) |
−0.244238 | + | 0.969715i | \(0.578538\pi\) | |||||||
\(968\) | 6.06218 | + | 3.50000i | 0.194846 | + | 0.112494i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −9.85641 | + | 14.9282i | −0.316470 | + | 0.479316i | ||||
\(971\) | 42.0000 | 1.34784 | 0.673922 | − | 0.738802i | \(-0.264608\pi\) | ||||
0.673922 | + | 0.738802i | \(0.264608\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 16.0000i | 0.512936i | ||||||||
\(974\) | 6.00000 | + | 10.3923i | 0.192252 | + | 0.332991i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 3.50000 | − | 6.06218i | 0.112032 | − | 0.194046i | ||||
\(977\) | 46.7654 | + | 27.0000i | 1.49616 | + | 0.863807i | 0.999990 | − | 0.00442082i | \(-0.00140720\pi\) |
0.496167 | + | 0.868227i | \(0.334741\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.00000 | − | 1.73205i | −0.0319601 | − | 0.0553566i | ||||
\(980\) | −6.00000 | − | 12.0000i | −0.191663 | − | 0.383326i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −16.4545 | + | 9.50000i | −0.524816 | + | 0.303003i | −0.738903 | − | 0.673812i | \(-0.764656\pi\) |
0.214087 | + | 0.976815i | \(0.431323\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.07180 | + | 17.8564i | −0.0341503 | + | 0.568952i | ||||
\(986\) | −9.00000 | + | 15.5885i | −0.286618 | + | 0.496438i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 31.1769 | − | 18.0000i | 0.991870 | − | 0.572656i | ||||
\(989\) | −4.00000 | −0.127193 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.00000 | 0.127064 | 0.0635321 | − | 0.997980i | \(-0.479763\pi\) | ||||
0.0635321 | + | 0.997980i | \(0.479763\pi\) | |||||||
\(992\) | 1.73205 | − | 1.00000i | 0.0549927 | − | 0.0317500i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 3.00000 | − | 5.19615i | 0.0951542 | − | 0.164812i | ||||
\(995\) | −40.1769 | − | 2.41154i | −1.27369 | − | 0.0764510i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(998\) | − | 24.0000i | − | 0.759707i | ||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))