Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1014,2,Mod(529,1014)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1014, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1014.529");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1014 = 2 \cdot 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1014.e (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.09683076496\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 78) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 991.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1014.991 |
Dual form | 1014.2.e.c.529.1 |
$q$-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 \(\left(\mathbb{Z}/1014\mathbb{Z}\right)^\times\).
\(n\) | \(677\) | \(847\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | 0.500000 | + | 0.866025i | 0.288675 | + | 0.500000i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −2.00000 | −0.894427 | −0.447214 | − | 0.894427i | \(-0.647584\pi\) | ||||
−0.447214 | + | 0.894427i | \(0.647584\pi\) | |||||||
\(6\) | 0.500000 | − | 0.866025i | 0.204124 | − | 0.353553i | ||||
\(7\) | 2.00000 | − | 3.46410i | 0.755929 | − | 1.30931i | −0.188982 | − | 0.981981i | \(-0.560519\pi\) |
0.944911 | − | 0.327327i | \(-0.106148\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 1.00000 | + | 1.73205i | 0.316228 | + | 0.547723i | ||||
\(11\) | −2.00000 | − | 3.46410i | −0.603023 | − | 1.04447i | −0.992361 | − | 0.123371i | \(-0.960630\pi\) |
0.389338 | − | 0.921095i | \(-0.372704\pi\) | |||||||
\(12\) | −1.00000 | −0.288675 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −4.00000 | −1.06904 | ||||||||
\(15\) | −1.00000 | − | 1.73205i | −0.258199 | − | 0.447214i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.00000 | + | 1.73205i | −0.242536 | + | 0.420084i | −0.961436 | − | 0.275029i | \(-0.911312\pi\) |
0.718900 | + | 0.695113i | \(0.244646\pi\) | |||||||
\(18\) | 1.00000 | 0.235702 | ||||||||
\(19\) | −4.00000 | + | 6.92820i | −0.917663 | + | 1.58944i | −0.114708 | + | 0.993399i | \(0.536593\pi\) |
−0.802955 | + | 0.596040i | \(0.796740\pi\) | |||||||
\(20\) | 1.00000 | − | 1.73205i | 0.223607 | − | 0.387298i | ||||
\(21\) | 4.00000 | 0.872872 | ||||||||
\(22\) | −2.00000 | + | 3.46410i | −0.426401 | + | 0.738549i | ||||
\(23\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(24\) | 0.500000 | + | 0.866025i | 0.102062 | + | 0.176777i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 2.00000 | + | 3.46410i | 0.377964 | + | 0.654654i | ||||
\(29\) | −3.00000 | − | 5.19615i | −0.557086 | − | 0.964901i | −0.997738 | − | 0.0672232i | \(-0.978586\pi\) |
0.440652 | − | 0.897678i | \(-0.354747\pi\) | |||||||
\(30\) | −1.00000 | + | 1.73205i | −0.182574 | + | 0.316228i | ||||
\(31\) | 4.00000 | 0.718421 | 0.359211 | − | 0.933257i | \(-0.383046\pi\) | ||||
0.359211 | + | 0.933257i | \(0.383046\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 2.00000 | − | 3.46410i | 0.348155 | − | 0.603023i | ||||
\(34\) | 2.00000 | 0.342997 | ||||||||
\(35\) | −4.00000 | + | 6.92820i | −0.676123 | + | 1.17108i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | −1.00000 | − | 1.73205i | −0.164399 | − | 0.284747i | 0.772043 | − | 0.635571i | \(-0.219235\pi\) |
−0.936442 | + | 0.350823i | \(0.885902\pi\) | |||||||
\(38\) | 8.00000 | 1.29777 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.00000 | −0.316228 | ||||||||
\(41\) | −5.00000 | − | 8.66025i | −0.780869 | − | 1.35250i | −0.931436 | − | 0.363905i | \(-0.881443\pi\) |
0.150567 | − | 0.988600i | \(-0.451890\pi\) | |||||||
\(42\) | −2.00000 | − | 3.46410i | −0.308607 | − | 0.534522i | ||||
\(43\) | −2.00000 | + | 3.46410i | −0.304997 | + | 0.528271i | −0.977261 | − | 0.212041i | \(-0.931989\pi\) |
0.672264 | + | 0.740312i | \(0.265322\pi\) | |||||||
\(44\) | 4.00000 | 0.603023 | ||||||||
\(45\) | 1.00000 | − | 1.73205i | 0.149071 | − | 0.258199i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −8.00000 | −1.16692 | −0.583460 | − | 0.812142i | \(-0.698301\pi\) | ||||
−0.583460 | + | 0.812142i | \(0.698301\pi\) | |||||||
\(48\) | 0.500000 | − | 0.866025i | 0.0721688 | − | 0.125000i | ||||
\(49\) | −4.50000 | − | 7.79423i | −0.642857 | − | 1.11346i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | −2.00000 | −0.280056 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −10.0000 | −1.37361 | −0.686803 | − | 0.726844i | \(-0.740986\pi\) | ||||
−0.686803 | + | 0.726844i | \(0.740986\pi\) | |||||||
\(54\) | 0.500000 | + | 0.866025i | 0.0680414 | + | 0.117851i | ||||
\(55\) | 4.00000 | + | 6.92820i | 0.539360 | + | 0.934199i | ||||
\(56\) | 2.00000 | − | 3.46410i | 0.267261 | − | 0.462910i | ||||
\(57\) | −8.00000 | −1.05963 | ||||||||
\(58\) | −3.00000 | + | 5.19615i | −0.393919 | + | 0.682288i | ||||
\(59\) | 2.00000 | − | 3.46410i | 0.260378 | − | 0.450988i | −0.705965 | − | 0.708247i | \(-0.749486\pi\) |
0.966342 | + | 0.257260i | \(0.0828195\pi\) | |||||||
\(60\) | 2.00000 | 0.258199 | ||||||||
\(61\) | 1.00000 | − | 1.73205i | 0.128037 | − | 0.221766i | −0.794879 | − | 0.606768i | \(-0.792466\pi\) |
0.922916 | + | 0.385002i | \(0.125799\pi\) | |||||||
\(62\) | −2.00000 | − | 3.46410i | −0.254000 | − | 0.439941i | ||||
\(63\) | 2.00000 | + | 3.46410i | 0.251976 | + | 0.436436i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −4.00000 | −0.492366 | ||||||||
\(67\) | −8.00000 | − | 13.8564i | −0.977356 | − | 1.69283i | −0.671932 | − | 0.740613i | \(-0.734535\pi\) |
−0.305424 | − | 0.952217i | \(-0.598798\pi\) | |||||||
\(68\) | −1.00000 | − | 1.73205i | −0.121268 | − | 0.210042i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 8.00000 | 0.956183 | ||||||||
\(71\) | −4.00000 | + | 6.92820i | −0.474713 | + | 0.822226i | −0.999581 | − | 0.0289572i | \(-0.990781\pi\) |
0.524868 | + | 0.851184i | \(0.324115\pi\) | |||||||
\(72\) | −0.500000 | + | 0.866025i | −0.0589256 | + | 0.102062i | ||||
\(73\) | −2.00000 | −0.234082 | −0.117041 | − | 0.993127i | \(-0.537341\pi\) | ||||
−0.117041 | + | 0.993127i | \(0.537341\pi\) | |||||||
\(74\) | −1.00000 | + | 1.73205i | −0.116248 | + | 0.201347i | ||||
\(75\) | −0.500000 | − | 0.866025i | −0.0577350 | − | 0.100000i | ||||
\(76\) | −4.00000 | − | 6.92820i | −0.458831 | − | 0.794719i | ||||
\(77\) | −16.0000 | −1.82337 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.00000 | 0.900070 | 0.450035 | − | 0.893011i | \(-0.351411\pi\) | ||||
0.450035 | + | 0.893011i | \(0.351411\pi\) | |||||||
\(80\) | 1.00000 | + | 1.73205i | 0.111803 | + | 0.193649i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −5.00000 | + | 8.66025i | −0.552158 | + | 0.956365i | ||||
\(83\) | −12.0000 | −1.31717 | −0.658586 | − | 0.752506i | \(-0.728845\pi\) | ||||
−0.658586 | + | 0.752506i | \(0.728845\pi\) | |||||||
\(84\) | −2.00000 | + | 3.46410i | −0.218218 | + | 0.377964i | ||||
\(85\) | 2.00000 | − | 3.46410i | 0.216930 | − | 0.375735i | ||||
\(86\) | 4.00000 | 0.431331 | ||||||||
\(87\) | 3.00000 | − | 5.19615i | 0.321634 | − | 0.557086i | ||||
\(88\) | −2.00000 | − | 3.46410i | −0.213201 | − | 0.369274i | ||||
\(89\) | 7.00000 | + | 12.1244i | 0.741999 | + | 1.28518i | 0.951584 | + | 0.307389i | \(0.0994552\pi\) |
−0.209585 | + | 0.977790i | \(0.567211\pi\) | |||||||
\(90\) | −2.00000 | −0.210819 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 2.00000 | + | 3.46410i | 0.207390 | + | 0.359211i | ||||
\(94\) | 4.00000 | + | 6.92820i | 0.412568 | + | 0.714590i | ||||
\(95\) | 8.00000 | − | 13.8564i | 0.820783 | − | 1.42164i | ||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | 5.00000 | − | 8.66025i | 0.507673 | − | 0.879316i | −0.492287 | − | 0.870433i | \(-0.663839\pi\) |
0.999961 | − | 0.00888289i | \(-0.00282755\pi\) | |||||||
\(98\) | −4.50000 | + | 7.79423i | −0.454569 | + | 0.787336i | ||||
\(99\) | 4.00000 | 0.402015 | ||||||||
\(100\) | 0.500000 | − | 0.866025i | 0.0500000 | − | 0.0866025i | ||||
\(101\) | 1.00000 | + | 1.73205i | 0.0995037 | + | 0.172345i | 0.911479 | − | 0.411346i | \(-0.134941\pi\) |
−0.811976 | + | 0.583691i | \(0.801608\pi\) | |||||||
\(102\) | 1.00000 | + | 1.73205i | 0.0990148 | + | 0.171499i | ||||
\(103\) | 16.0000 | 1.57653 | 0.788263 | − | 0.615338i | \(-0.210980\pi\) | ||||
0.788263 | + | 0.615338i | \(0.210980\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −8.00000 | −0.780720 | ||||||||
\(106\) | 5.00000 | + | 8.66025i | 0.485643 | + | 0.841158i | ||||
\(107\) | −6.00000 | − | 10.3923i | −0.580042 | − | 1.00466i | −0.995474 | − | 0.0950377i | \(-0.969703\pi\) |
0.415432 | − | 0.909624i | \(-0.363630\pi\) | |||||||
\(108\) | 0.500000 | − | 0.866025i | 0.0481125 | − | 0.0833333i | ||||
\(109\) | 2.00000 | 0.191565 | 0.0957826 | − | 0.995402i | \(-0.469465\pi\) | ||||
0.0957826 | + | 0.995402i | \(0.469465\pi\) | |||||||
\(110\) | 4.00000 | − | 6.92820i | 0.381385 | − | 0.660578i | ||||
\(111\) | 1.00000 | − | 1.73205i | 0.0949158 | − | 0.164399i | ||||
\(112\) | −4.00000 | −0.377964 | ||||||||
\(113\) | 3.00000 | − | 5.19615i | 0.282216 | − | 0.488813i | −0.689714 | − | 0.724082i | \(-0.742264\pi\) |
0.971930 | + | 0.235269i | \(0.0755971\pi\) | |||||||
\(114\) | 4.00000 | + | 6.92820i | 0.374634 | + | 0.648886i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 6.00000 | 0.557086 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.00000 | −0.368230 | ||||||||
\(119\) | 4.00000 | + | 6.92820i | 0.366679 | + | 0.635107i | ||||
\(120\) | −1.00000 | − | 1.73205i | −0.0912871 | − | 0.158114i | ||||
\(121\) | −2.50000 | + | 4.33013i | −0.227273 | + | 0.393648i | ||||
\(122\) | −2.00000 | −0.181071 | ||||||||
\(123\) | 5.00000 | − | 8.66025i | 0.450835 | − | 0.780869i | ||||
\(124\) | −2.00000 | + | 3.46410i | −0.179605 | + | 0.311086i | ||||
\(125\) | 12.0000 | 1.07331 | ||||||||
\(126\) | 2.00000 | − | 3.46410i | 0.178174 | − | 0.308607i | ||||
\(127\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −4.00000 | −0.352180 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.00000 | 0.349482 | 0.174741 | − | 0.984614i | \(-0.444091\pi\) | ||||
0.174741 | + | 0.984614i | \(0.444091\pi\) | |||||||
\(132\) | 2.00000 | + | 3.46410i | 0.174078 | + | 0.301511i | ||||
\(133\) | 16.0000 | + | 27.7128i | 1.38738 | + | 2.40301i | ||||
\(134\) | −8.00000 | + | 13.8564i | −0.691095 | + | 1.19701i | ||||
\(135\) | 2.00000 | 0.172133 | ||||||||
\(136\) | −1.00000 | + | 1.73205i | −0.0857493 | + | 0.148522i | ||||
\(137\) | −5.00000 | + | 8.66025i | −0.427179 | + | 0.739895i | −0.996621 | − | 0.0821359i | \(-0.973826\pi\) |
0.569442 | + | 0.822031i | \(0.307159\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.00000 | + | 10.3923i | −0.508913 | + | 0.881464i | 0.491033 | + | 0.871141i | \(0.336619\pi\) |
−0.999947 | + | 0.0103230i | \(0.996714\pi\) | |||||||
\(140\) | −4.00000 | − | 6.92820i | −0.338062 | − | 0.585540i | ||||
\(141\) | −4.00000 | − | 6.92820i | −0.336861 | − | 0.583460i | ||||
\(142\) | 8.00000 | 0.671345 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | 6.00000 | + | 10.3923i | 0.498273 | + | 0.863034i | ||||
\(146\) | 1.00000 | + | 1.73205i | 0.0827606 | + | 0.143346i | ||||
\(147\) | 4.50000 | − | 7.79423i | 0.371154 | − | 0.642857i | ||||
\(148\) | 2.00000 | 0.164399 | ||||||||
\(149\) | −3.00000 | + | 5.19615i | −0.245770 | + | 0.425685i | −0.962348 | − | 0.271821i | \(-0.912374\pi\) |
0.716578 | + | 0.697507i | \(0.245707\pi\) | |||||||
\(150\) | −0.500000 | + | 0.866025i | −0.0408248 | + | 0.0707107i | ||||
\(151\) | −12.0000 | −0.976546 | −0.488273 | − | 0.872691i | \(-0.662373\pi\) | ||||
−0.488273 | + | 0.872691i | \(0.662373\pi\) | |||||||
\(152\) | −4.00000 | + | 6.92820i | −0.324443 | + | 0.561951i | ||||
\(153\) | −1.00000 | − | 1.73205i | −0.0808452 | − | 0.140028i | ||||
\(154\) | 8.00000 | + | 13.8564i | 0.644658 | + | 1.11658i | ||||
\(155\) | −8.00000 | −0.642575 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 14.0000 | 1.11732 | 0.558661 | − | 0.829396i | \(-0.311315\pi\) | ||||
0.558661 | + | 0.829396i | \(0.311315\pi\) | |||||||
\(158\) | −4.00000 | − | 6.92820i | −0.318223 | − | 0.551178i | ||||
\(159\) | −5.00000 | − | 8.66025i | −0.396526 | − | 0.686803i | ||||
\(160\) | 1.00000 | − | 1.73205i | 0.0790569 | − | 0.136931i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −0.500000 | + | 0.866025i | −0.0392837 | + | 0.0680414i | ||||
\(163\) | −8.00000 | + | 13.8564i | −0.626608 | + | 1.08532i | 0.361619 | + | 0.932326i | \(0.382224\pi\) |
−0.988227 | + | 0.152992i | \(0.951109\pi\) | |||||||
\(164\) | 10.0000 | 0.780869 | ||||||||
\(165\) | −4.00000 | + | 6.92820i | −0.311400 | + | 0.539360i | ||||
\(166\) | 6.00000 | + | 10.3923i | 0.465690 | + | 0.806599i | ||||
\(167\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(168\) | 4.00000 | 0.308607 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −4.00000 | −0.306786 | ||||||||
\(171\) | −4.00000 | − | 6.92820i | −0.305888 | − | 0.529813i | ||||
\(172\) | −2.00000 | − | 3.46410i | −0.152499 | − | 0.264135i | ||||
\(173\) | 5.00000 | − | 8.66025i | 0.380143 | − | 0.658427i | −0.610939 | − | 0.791677i | \(-0.709208\pi\) |
0.991082 | + | 0.133250i | \(0.0425415\pi\) | |||||||
\(174\) | −6.00000 | −0.454859 | ||||||||
\(175\) | −2.00000 | + | 3.46410i | −0.151186 | + | 0.261861i | ||||
\(176\) | −2.00000 | + | 3.46410i | −0.150756 | + | 0.261116i | ||||
\(177\) | 4.00000 | 0.300658 | ||||||||
\(178\) | 7.00000 | − | 12.1244i | 0.524672 | − | 0.908759i | ||||
\(179\) | 6.00000 | + | 10.3923i | 0.448461 | + | 0.776757i | 0.998286 | − | 0.0585225i | \(-0.0186389\pi\) |
−0.549825 | + | 0.835280i | \(0.685306\pi\) | |||||||
\(180\) | 1.00000 | + | 1.73205i | 0.0745356 | + | 0.129099i | ||||
\(181\) | −10.0000 | −0.743294 | −0.371647 | − | 0.928374i | \(-0.621207\pi\) | ||||
−0.371647 | + | 0.928374i | \(0.621207\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.00000 | 0.147844 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.00000 | + | 3.46410i | 0.147043 | + | 0.254686i | ||||
\(186\) | 2.00000 | − | 3.46410i | 0.146647 | − | 0.254000i | ||||
\(187\) | 8.00000 | 0.585018 | ||||||||
\(188\) | 4.00000 | − | 6.92820i | 0.291730 | − | 0.505291i | ||||
\(189\) | −2.00000 | + | 3.46410i | −0.145479 | + | 0.251976i | ||||
\(190\) | −16.0000 | −1.16076 | ||||||||
\(191\) | 4.00000 | − | 6.92820i | 0.289430 | − | 0.501307i | −0.684244 | − | 0.729253i | \(-0.739868\pi\) |
0.973674 | + | 0.227946i | \(0.0732010\pi\) | |||||||
\(192\) | 0.500000 | + | 0.866025i | 0.0360844 | + | 0.0625000i | ||||
\(193\) | −7.00000 | − | 12.1244i | −0.503871 | − | 0.872730i | −0.999990 | − | 0.00447566i | \(-0.998575\pi\) |
0.496119 | − | 0.868255i | \(-0.334758\pi\) | |||||||
\(194\) | −10.0000 | −0.717958 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 9.00000 | 0.642857 | ||||||||
\(197\) | 9.00000 | + | 15.5885i | 0.641223 | + | 1.11063i | 0.985160 | + | 0.171639i | \(0.0549062\pi\) |
−0.343937 | + | 0.938993i | \(0.611761\pi\) | |||||||
\(198\) | −2.00000 | − | 3.46410i | −0.142134 | − | 0.246183i | ||||
\(199\) | 4.00000 | − | 6.92820i | 0.283552 | − | 0.491127i | −0.688705 | − | 0.725042i | \(-0.741820\pi\) |
0.972257 | + | 0.233915i | \(0.0751537\pi\) | |||||||
\(200\) | −1.00000 | −0.0707107 | ||||||||
\(201\) | 8.00000 | − | 13.8564i | 0.564276 | − | 0.977356i | ||||
\(202\) | 1.00000 | − | 1.73205i | 0.0703598 | − | 0.121867i | ||||
\(203\) | −24.0000 | −1.68447 | ||||||||
\(204\) | 1.00000 | − | 1.73205i | 0.0700140 | − | 0.121268i | ||||
\(205\) | 10.0000 | + | 17.3205i | 0.698430 | + | 1.20972i | ||||
\(206\) | −8.00000 | − | 13.8564i | −0.557386 | − | 0.965422i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 32.0000 | 2.21349 | ||||||||
\(210\) | 4.00000 | + | 6.92820i | 0.276026 | + | 0.478091i | ||||
\(211\) | −6.00000 | − | 10.3923i | −0.413057 | − | 0.715436i | 0.582165 | − | 0.813070i | \(-0.302206\pi\) |
−0.995222 | + | 0.0976347i | \(0.968872\pi\) | |||||||
\(212\) | 5.00000 | − | 8.66025i | 0.343401 | − | 0.594789i | ||||
\(213\) | −8.00000 | −0.548151 | ||||||||
\(214\) | −6.00000 | + | 10.3923i | −0.410152 | + | 0.710403i | ||||
\(215\) | 4.00000 | − | 6.92820i | 0.272798 | − | 0.472500i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | 8.00000 | − | 13.8564i | 0.543075 | − | 0.940634i | ||||
\(218\) | −1.00000 | − | 1.73205i | −0.0677285 | − | 0.117309i | ||||
\(219\) | −1.00000 | − | 1.73205i | −0.0675737 | − | 0.117041i | ||||
\(220\) | −8.00000 | −0.539360 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −2.00000 | −0.134231 | ||||||||
\(223\) | −2.00000 | − | 3.46410i | −0.133930 | − | 0.231973i | 0.791258 | − | 0.611482i | \(-0.209426\pi\) |
−0.925188 | + | 0.379509i | \(0.876093\pi\) | |||||||
\(224\) | 2.00000 | + | 3.46410i | 0.133631 | + | 0.231455i | ||||
\(225\) | 0.500000 | − | 0.866025i | 0.0333333 | − | 0.0577350i | ||||
\(226\) | −6.00000 | −0.399114 | ||||||||
\(227\) | 10.0000 | − | 17.3205i | 0.663723 | − | 1.14960i | −0.315906 | − | 0.948790i | \(-0.602309\pi\) |
0.979630 | − | 0.200812i | \(-0.0643581\pi\) | |||||||
\(228\) | 4.00000 | − | 6.92820i | 0.264906 | − | 0.458831i | ||||
\(229\) | −22.0000 | −1.45380 | −0.726900 | − | 0.686743i | \(-0.759040\pi\) | ||||
−0.726900 | + | 0.686743i | \(0.759040\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −8.00000 | − | 13.8564i | −0.526361 | − | 0.911685i | ||||
\(232\) | −3.00000 | − | 5.19615i | −0.196960 | − | 0.341144i | ||||
\(233\) | 18.0000 | 1.17922 | 0.589610 | − | 0.807688i | \(-0.299282\pi\) | ||||
0.589610 | + | 0.807688i | \(0.299282\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 16.0000 | 1.04372 | ||||||||
\(236\) | 2.00000 | + | 3.46410i | 0.130189 | + | 0.225494i | ||||
\(237\) | 4.00000 | + | 6.92820i | 0.259828 | + | 0.450035i | ||||
\(238\) | 4.00000 | − | 6.92820i | 0.259281 | − | 0.449089i | ||||
\(239\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(240\) | −1.00000 | + | 1.73205i | −0.0645497 | + | 0.111803i | ||||
\(241\) | 5.00000 | − | 8.66025i | 0.322078 | − | 0.557856i | −0.658838 | − | 0.752285i | \(-0.728952\pi\) |
0.980917 | + | 0.194429i | \(0.0622852\pi\) | |||||||
\(242\) | 5.00000 | 0.321412 | ||||||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | 1.00000 | + | 1.73205i | 0.0640184 | + | 0.110883i | ||||
\(245\) | 9.00000 | + | 15.5885i | 0.574989 | + | 0.995910i | ||||
\(246\) | −10.0000 | −0.637577 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 4.00000 | 0.254000 | ||||||||
\(249\) | −6.00000 | − | 10.3923i | −0.380235 | − | 0.658586i | ||||
\(250\) | −6.00000 | − | 10.3923i | −0.379473 | − | 0.657267i | ||||
\(251\) | −2.00000 | + | 3.46410i | −0.126239 | + | 0.218652i | −0.922217 | − | 0.386674i | \(-0.873624\pi\) |
0.795978 | + | 0.605326i | \(0.206957\pi\) | |||||||
\(252\) | −4.00000 | −0.251976 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 4.00000 | 0.250490 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 3.00000 | + | 5.19615i | 0.187135 | + | 0.324127i | 0.944294 | − | 0.329104i | \(-0.106747\pi\) |
−0.757159 | + | 0.653231i | \(0.773413\pi\) | |||||||
\(258\) | 2.00000 | + | 3.46410i | 0.124515 | + | 0.215666i | ||||
\(259\) | −8.00000 | −0.497096 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.00000 | 0.371391 | ||||||||
\(262\) | −2.00000 | − | 3.46410i | −0.123560 | − | 0.214013i | ||||
\(263\) | −4.00000 | − | 6.92820i | −0.246651 | − | 0.427211i | 0.715944 | − | 0.698158i | \(-0.245997\pi\) |
−0.962594 | + | 0.270947i | \(0.912663\pi\) | |||||||
\(264\) | 2.00000 | − | 3.46410i | 0.123091 | − | 0.213201i | ||||
\(265\) | 20.0000 | 1.22859 | ||||||||
\(266\) | 16.0000 | − | 27.7128i | 0.981023 | − | 1.69918i | ||||
\(267\) | −7.00000 | + | 12.1244i | −0.428393 | + | 0.741999i | ||||
\(268\) | 16.0000 | 0.977356 | ||||||||
\(269\) | 13.0000 | − | 22.5167i | 0.792624 | − | 1.37287i | −0.131713 | − | 0.991288i | \(-0.542048\pi\) |
0.924337 | − | 0.381577i | \(-0.124619\pi\) | |||||||
\(270\) | −1.00000 | − | 1.73205i | −0.0608581 | − | 0.105409i | ||||
\(271\) | −2.00000 | − | 3.46410i | −0.121491 | − | 0.210429i | 0.798865 | − | 0.601511i | \(-0.205434\pi\) |
−0.920356 | + | 0.391082i | \(0.872101\pi\) | |||||||
\(272\) | 2.00000 | 0.121268 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 10.0000 | 0.604122 | ||||||||
\(275\) | 2.00000 | + | 3.46410i | 0.120605 | + | 0.208893i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.0000 | + | 19.0526i | −0.660926 | + | 1.14476i | 0.319447 | + | 0.947604i | \(0.396503\pi\) |
−0.980373 | + | 0.197153i | \(0.936830\pi\) | |||||||
\(278\) | 12.0000 | 0.719712 | ||||||||
\(279\) | −2.00000 | + | 3.46410i | −0.119737 | + | 0.207390i | ||||
\(280\) | −4.00000 | + | 6.92820i | −0.239046 | + | 0.414039i | ||||
\(281\) | 26.0000 | 1.55103 | 0.775515 | − | 0.631329i | \(-0.217490\pi\) | ||||
0.775515 | + | 0.631329i | \(0.217490\pi\) | |||||||
\(282\) | −4.00000 | + | 6.92820i | −0.238197 | + | 0.412568i | ||||
\(283\) | 2.00000 | + | 3.46410i | 0.118888 | + | 0.205919i | 0.919327 | − | 0.393494i | \(-0.128734\pi\) |
−0.800439 | + | 0.599414i | \(0.795400\pi\) | |||||||
\(284\) | −4.00000 | − | 6.92820i | −0.237356 | − | 0.411113i | ||||
\(285\) | 16.0000 | 0.947758 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −40.0000 | −2.36113 | ||||||||
\(288\) | −0.500000 | − | 0.866025i | −0.0294628 | − | 0.0510310i | ||||
\(289\) | 6.50000 | + | 11.2583i | 0.382353 | + | 0.662255i | ||||
\(290\) | 6.00000 | − | 10.3923i | 0.352332 | − | 0.610257i | ||||
\(291\) | 10.0000 | 0.586210 | ||||||||
\(292\) | 1.00000 | − | 1.73205i | 0.0585206 | − | 0.101361i | ||||
\(293\) | 13.0000 | − | 22.5167i | 0.759468 | − | 1.31544i | −0.183654 | − | 0.982991i | \(-0.558793\pi\) |
0.943122 | − | 0.332446i | \(-0.107874\pi\) | |||||||
\(294\) | −9.00000 | −0.524891 | ||||||||
\(295\) | −4.00000 | + | 6.92820i | −0.232889 | + | 0.403376i | ||||
\(296\) | −1.00000 | − | 1.73205i | −0.0581238 | − | 0.100673i | ||||
\(297\) | 2.00000 | + | 3.46410i | 0.116052 | + | 0.201008i | ||||
\(298\) | 6.00000 | 0.347571 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | 8.00000 | + | 13.8564i | 0.461112 | + | 0.798670i | ||||
\(302\) | 6.00000 | + | 10.3923i | 0.345261 | + | 0.598010i | ||||
\(303\) | −1.00000 | + | 1.73205i | −0.0574485 | + | 0.0995037i | ||||
\(304\) | 8.00000 | 0.458831 | ||||||||
\(305\) | −2.00000 | + | 3.46410i | −0.114520 | + | 0.198354i | ||||
\(306\) | −1.00000 | + | 1.73205i | −0.0571662 | + | 0.0990148i | ||||
\(307\) | 8.00000 | 0.456584 | 0.228292 | − | 0.973593i | \(-0.426686\pi\) | ||||
0.228292 | + | 0.973593i | \(0.426686\pi\) | |||||||
\(308\) | 8.00000 | − | 13.8564i | 0.455842 | − | 0.789542i | ||||
\(309\) | 8.00000 | + | 13.8564i | 0.455104 | + | 0.788263i | ||||
\(310\) | 4.00000 | + | 6.92820i | 0.227185 | + | 0.393496i | ||||
\(311\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.00000 | −0.339140 | −0.169570 | − | 0.985518i | \(-0.554238\pi\) | ||||
−0.169570 | + | 0.985518i | \(0.554238\pi\) | |||||||
\(314\) | −7.00000 | − | 12.1244i | −0.395033 | − | 0.684217i | ||||
\(315\) | −4.00000 | − | 6.92820i | −0.225374 | − | 0.390360i | ||||
\(316\) | −4.00000 | + | 6.92820i | −0.225018 | + | 0.389742i | ||||
\(317\) | 6.00000 | 0.336994 | 0.168497 | − | 0.985702i | \(-0.446109\pi\) | ||||
0.168497 | + | 0.985702i | \(0.446109\pi\) | |||||||
\(318\) | −5.00000 | + | 8.66025i | −0.280386 | + | 0.485643i | ||||
\(319\) | −12.0000 | + | 20.7846i | −0.671871 | + | 1.16371i | ||||
\(320\) | −2.00000 | −0.111803 | ||||||||
\(321\) | 6.00000 | − | 10.3923i | 0.334887 | − | 0.580042i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −8.00000 | − | 13.8564i | −0.445132 | − | 0.770991i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 16.0000 | 0.886158 | ||||||||
\(327\) | 1.00000 | + | 1.73205i | 0.0553001 | + | 0.0957826i | ||||
\(328\) | −5.00000 | − | 8.66025i | −0.276079 | − | 0.478183i | ||||
\(329\) | −16.0000 | + | 27.7128i | −0.882109 | + | 1.52786i | ||||
\(330\) | 8.00000 | 0.440386 | ||||||||
\(331\) | 4.00000 | − | 6.92820i | 0.219860 | − | 0.380808i | −0.734905 | − | 0.678170i | \(-0.762773\pi\) |
0.954765 | + | 0.297361i | \(0.0961066\pi\) | |||||||
\(332\) | 6.00000 | − | 10.3923i | 0.329293 | − | 0.570352i | ||||
\(333\) | 2.00000 | 0.109599 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 16.0000 | + | 27.7128i | 0.874173 | + | 1.51411i | ||||
\(336\) | −2.00000 | − | 3.46410i | −0.109109 | − | 0.188982i | ||||
\(337\) | 18.0000 | 0.980522 | 0.490261 | − | 0.871576i | \(-0.336901\pi\) | ||||
0.490261 | + | 0.871576i | \(0.336901\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 6.00000 | 0.325875 | ||||||||
\(340\) | 2.00000 | + | 3.46410i | 0.108465 | + | 0.187867i | ||||
\(341\) | −8.00000 | − | 13.8564i | −0.433224 | − | 0.750366i | ||||
\(342\) | −4.00000 | + | 6.92820i | −0.216295 | + | 0.374634i | ||||
\(343\) | −8.00000 | −0.431959 | ||||||||
\(344\) | −2.00000 | + | 3.46410i | −0.107833 | + | 0.186772i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −10.0000 | −0.537603 | ||||||||
\(347\) | 6.00000 | − | 10.3923i | 0.322097 | − | 0.557888i | −0.658824 | − | 0.752297i | \(-0.728946\pi\) |
0.980921 | + | 0.194409i | \(0.0622790\pi\) | |||||||
\(348\) | 3.00000 | + | 5.19615i | 0.160817 | + | 0.278543i | ||||
\(349\) | 3.00000 | + | 5.19615i | 0.160586 | + | 0.278144i | 0.935079 | − | 0.354439i | \(-0.115328\pi\) |
−0.774493 | + | 0.632583i | \(0.781995\pi\) | |||||||
\(350\) | 4.00000 | 0.213809 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.00000 | 0.213201 | ||||||||
\(353\) | 7.00000 | + | 12.1244i | 0.372572 | + | 0.645314i | 0.989960 | − | 0.141344i | \(-0.0451425\pi\) |
−0.617388 | + | 0.786659i | \(0.711809\pi\) | |||||||
\(354\) | −2.00000 | − | 3.46410i | −0.106299 | − | 0.184115i | ||||
\(355\) | 8.00000 | − | 13.8564i | 0.424596 | − | 0.735422i | ||||
\(356\) | −14.0000 | −0.741999 | ||||||||
\(357\) | −4.00000 | + | 6.92820i | −0.211702 | + | 0.366679i | ||||
\(358\) | 6.00000 | − | 10.3923i | 0.317110 | − | 0.549250i | ||||
\(359\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(360\) | 1.00000 | − | 1.73205i | 0.0527046 | − | 0.0912871i | ||||
\(361\) | −22.5000 | − | 38.9711i | −1.18421 | − | 2.05111i | ||||
\(362\) | 5.00000 | + | 8.66025i | 0.262794 | + | 0.455173i | ||||
\(363\) | −5.00000 | −0.262432 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.00000 | 0.209370 | ||||||||
\(366\) | −1.00000 | − | 1.73205i | −0.0522708 | − | 0.0905357i | ||||
\(367\) | −8.00000 | − | 13.8564i | −0.417597 | − | 0.723299i | 0.578101 | − | 0.815966i | \(-0.303794\pi\) |
−0.995697 | + | 0.0926670i | \(0.970461\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 10.0000 | 0.520579 | ||||||||
\(370\) | 2.00000 | − | 3.46410i | 0.103975 | − | 0.180090i | ||||
\(371\) | −20.0000 | + | 34.6410i | −1.03835 | + | 1.79847i | ||||
\(372\) | −4.00000 | −0.207390 | ||||||||
\(373\) | −3.00000 | + | 5.19615i | −0.155334 | + | 0.269047i | −0.933181 | − | 0.359408i | \(-0.882979\pi\) |
0.777847 | + | 0.628454i | \(0.216312\pi\) | |||||||
\(374\) | −4.00000 | − | 6.92820i | −0.206835 | − | 0.358249i | ||||
\(375\) | 6.00000 | + | 10.3923i | 0.309839 | + | 0.536656i | ||||
\(376\) | −8.00000 | −0.412568 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 4.00000 | 0.205738 | ||||||||
\(379\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(380\) | 8.00000 | + | 13.8564i | 0.410391 | + | 0.710819i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −8.00000 | −0.409316 | ||||||||
\(383\) | −12.0000 | + | 20.7846i | −0.613171 | + | 1.06204i | 0.377531 | + | 0.925997i | \(0.376773\pi\) |
−0.990702 | + | 0.136047i | \(0.956560\pi\) | |||||||
\(384\) | 0.500000 | − | 0.866025i | 0.0255155 | − | 0.0441942i | ||||
\(385\) | 32.0000 | 1.63087 | ||||||||
\(386\) | −7.00000 | + | 12.1244i | −0.356291 | + | 0.617113i | ||||
\(387\) | −2.00000 | − | 3.46410i | −0.101666 | − | 0.176090i | ||||
\(388\) | 5.00000 | + | 8.66025i | 0.253837 | + | 0.439658i | ||||
\(389\) | −26.0000 | −1.31825 | −0.659126 | − | 0.752032i | \(-0.729074\pi\) | ||||
−0.659126 | + | 0.752032i | \(0.729074\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −4.50000 | − | 7.79423i | −0.227284 | − | 0.393668i | ||||
\(393\) | 2.00000 | + | 3.46410i | 0.100887 | + | 0.174741i | ||||
\(394\) | 9.00000 | − | 15.5885i | 0.453413 | − | 0.785335i | ||||
\(395\) | −16.0000 | −0.805047 | ||||||||
\(396\) | −2.00000 | + | 3.46410i | −0.100504 | + | 0.174078i | ||||
\(397\) | 3.00000 | − | 5.19615i | 0.150566 | − | 0.260787i | −0.780870 | − | 0.624694i | \(-0.785224\pi\) |
0.931436 | + | 0.363906i | \(0.118557\pi\) | |||||||
\(398\) | −8.00000 | −0.401004 | ||||||||
\(399\) | −16.0000 | + | 27.7128i | −0.801002 | + | 1.38738i | ||||
\(400\) | 0.500000 | + | 0.866025i | 0.0250000 | + | 0.0433013i | ||||
\(401\) | 3.00000 | + | 5.19615i | 0.149813 | + | 0.259483i | 0.931158 | − | 0.364615i | \(-0.118800\pi\) |
−0.781345 | + | 0.624099i | \(0.785466\pi\) | |||||||
\(402\) | −16.0000 | −0.798007 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −2.00000 | −0.0995037 | ||||||||
\(405\) | 1.00000 | + | 1.73205i | 0.0496904 | + | 0.0860663i | ||||
\(406\) | 12.0000 | + | 20.7846i | 0.595550 | + | 1.03152i | ||||
\(407\) | −4.00000 | + | 6.92820i | −0.198273 | + | 0.343418i | ||||
\(408\) | −2.00000 | −0.0990148 | ||||||||
\(409\) | 1.00000 | − | 1.73205i | 0.0494468 | − | 0.0856444i | −0.840243 | − | 0.542211i | \(-0.817588\pi\) |
0.889689 | + | 0.456566i | \(0.150921\pi\) | |||||||
\(410\) | 10.0000 | − | 17.3205i | 0.493865 | − | 0.855399i | ||||
\(411\) | −10.0000 | −0.493264 | ||||||||
\(412\) | −8.00000 | + | 13.8564i | −0.394132 | + | 0.682656i | ||||
\(413\) | −8.00000 | − | 13.8564i | −0.393654 | − | 0.681829i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 24.0000 | 1.17811 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −12.0000 | −0.587643 | ||||||||
\(418\) | −16.0000 | − | 27.7128i | −0.782586 | − | 1.35548i | ||||
\(419\) | −2.00000 | − | 3.46410i | −0.0977064 | − | 0.169232i | 0.813029 | − | 0.582224i | \(-0.197817\pi\) |
−0.910735 | + | 0.412991i | \(0.864484\pi\) | |||||||
\(420\) | 4.00000 | − | 6.92820i | 0.195180 | − | 0.338062i | ||||
\(421\) | −22.0000 | −1.07221 | −0.536107 | − | 0.844150i | \(-0.680106\pi\) | ||||
−0.536107 | + | 0.844150i | \(0.680106\pi\) | |||||||
\(422\) | −6.00000 | + | 10.3923i | −0.292075 | + | 0.505889i | ||||
\(423\) | 4.00000 | − | 6.92820i | 0.194487 | − | 0.336861i | ||||
\(424\) | −10.0000 | −0.485643 | ||||||||
\(425\) | 1.00000 | − | 1.73205i | 0.0485071 | − | 0.0840168i | ||||
\(426\) | 4.00000 | + | 6.92820i | 0.193801 | + | 0.335673i | ||||
\(427\) | −4.00000 | − | 6.92820i | −0.193574 | − | 0.335279i | ||||
\(428\) | 12.0000 | 0.580042 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.00000 | −0.385794 | ||||||||
\(431\) | −4.00000 | − | 6.92820i | −0.192673 | − | 0.333720i | 0.753462 | − | 0.657491i | \(-0.228382\pi\) |
−0.946135 | + | 0.323772i | \(0.895049\pi\) | |||||||
\(432\) | 0.500000 | + | 0.866025i | 0.0240563 | + | 0.0416667i | ||||
\(433\) | 15.0000 | − | 25.9808i | 0.720854 | − | 1.24856i | −0.239804 | − | 0.970821i | \(-0.577083\pi\) |
0.960658 | − | 0.277734i | \(-0.0895835\pi\) | |||||||
\(434\) | −16.0000 | −0.768025 | ||||||||
\(435\) | −6.00000 | + | 10.3923i | −0.287678 | + | 0.498273i | ||||
\(436\) | −1.00000 | + | 1.73205i | −0.0478913 | + | 0.0829502i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −1.00000 | + | 1.73205i | −0.0477818 | + | 0.0827606i | ||||
\(439\) | −8.00000 | − | 13.8564i | −0.381819 | − | 0.661330i | 0.609503 | − | 0.792784i | \(-0.291369\pi\) |
−0.991322 | + | 0.131453i | \(0.958036\pi\) | |||||||
\(440\) | 4.00000 | + | 6.92820i | 0.190693 | + | 0.330289i | ||||
\(441\) | 9.00000 | 0.428571 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −4.00000 | −0.190046 | −0.0950229 | − | 0.995475i | \(-0.530292\pi\) | ||||
−0.0950229 | + | 0.995475i | \(0.530292\pi\) | |||||||
\(444\) | 1.00000 | + | 1.73205i | 0.0474579 | + | 0.0821995i | ||||
\(445\) | −14.0000 | − | 24.2487i | −0.663664 | − | 1.14950i | ||||
\(446\) | −2.00000 | + | 3.46410i | −0.0947027 | + | 0.164030i | ||||
\(447\) | −6.00000 | −0.283790 | ||||||||
\(448\) | 2.00000 | − | 3.46410i | 0.0944911 | − | 0.163663i | ||||
\(449\) | 3.00000 | − | 5.19615i | 0.141579 | − | 0.245222i | −0.786513 | − | 0.617574i | \(-0.788115\pi\) |
0.928091 | + | 0.372353i | \(0.121449\pi\) | |||||||
\(450\) | −1.00000 | −0.0471405 | ||||||||
\(451\) | −20.0000 | + | 34.6410i | −0.941763 | + | 1.63118i | ||||
\(452\) | 3.00000 | + | 5.19615i | 0.141108 | + | 0.244406i | ||||
\(453\) | −6.00000 | − | 10.3923i | −0.281905 | − | 0.488273i | ||||
\(454\) | −20.0000 | −0.938647 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −8.00000 | −0.374634 | ||||||||
\(457\) | −15.0000 | − | 25.9808i | −0.701670 | − | 1.21533i | −0.967880 | − | 0.251414i | \(-0.919105\pi\) |
0.266209 | − | 0.963915i | \(-0.414229\pi\) | |||||||
\(458\) | 11.0000 | + | 19.0526i | 0.513996 | + | 0.890268i | ||||
\(459\) | 1.00000 | − | 1.73205i | 0.0466760 | − | 0.0808452i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3.00000 | + | 5.19615i | −0.139724 | + | 0.242009i | −0.927392 | − | 0.374091i | \(-0.877955\pi\) |
0.787668 | + | 0.616100i | \(0.211288\pi\) | |||||||
\(462\) | −8.00000 | + | 13.8564i | −0.372194 | + | 0.644658i | ||||
\(463\) | 20.0000 | 0.929479 | 0.464739 | − | 0.885448i | \(-0.346148\pi\) | ||||
0.464739 | + | 0.885448i | \(0.346148\pi\) | |||||||
\(464\) | −3.00000 | + | 5.19615i | −0.139272 | + | 0.241225i | ||||
\(465\) | −4.00000 | − | 6.92820i | −0.185496 | − | 0.321288i | ||||
\(466\) | −9.00000 | − | 15.5885i | −0.416917 | − | 0.722121i | ||||
\(467\) | −4.00000 | −0.185098 | −0.0925490 | − | 0.995708i | \(-0.529501\pi\) | ||||
−0.0925490 | + | 0.995708i | \(0.529501\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −64.0000 | −2.95525 | ||||||||
\(470\) | −8.00000 | − | 13.8564i | −0.369012 | − | 0.639148i | ||||
\(471\) | 7.00000 | + | 12.1244i | 0.322543 | + | 0.558661i | ||||
\(472\) | 2.00000 | − | 3.46410i | 0.0920575 | − | 0.159448i | ||||
\(473\) | 16.0000 | 0.735681 | ||||||||
\(474\) | 4.00000 | − | 6.92820i | 0.183726 | − | 0.318223i | ||||
\(475\) | 4.00000 | − | 6.92820i | 0.183533 | − | 0.317888i | ||||
\(476\) | −8.00000 | −0.366679 | ||||||||
\(477\) | 5.00000 | − | 8.66025i | 0.228934 | − | 0.396526i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −8.00000 | − | 13.8564i | −0.365529 | − | 0.633115i | 0.623332 | − | 0.781958i | \(-0.285779\pi\) |
−0.988861 | + | 0.148842i | \(0.952445\pi\) | |||||||
\(480\) | 2.00000 | 0.0912871 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −10.0000 | −0.455488 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.50000 | − | 4.33013i | −0.113636 | − | 0.196824i | ||||
\(485\) | −10.0000 | + | 17.3205i | −0.454077 | + | 0.786484i | ||||
\(486\) | −1.00000 | −0.0453609 | ||||||||
\(487\) | 2.00000 | − | 3.46410i | 0.0906287 | − | 0.156973i | −0.817147 | − | 0.576429i | \(-0.804446\pi\) |
0.907776 | + | 0.419456i | \(0.137779\pi\) | |||||||
\(488\) | 1.00000 | − | 1.73205i | 0.0452679 | − | 0.0784063i | ||||
\(489\) | −16.0000 | −0.723545 | ||||||||
\(490\) | 9.00000 | − | 15.5885i | 0.406579 | − | 0.704215i | ||||
\(491\) | −18.0000 | − | 31.1769i | −0.812329 | − | 1.40699i | −0.911230 | − | 0.411897i | \(-0.864866\pi\) |
0.0989017 | − | 0.995097i | \(-0.468467\pi\) | |||||||
\(492\) | 5.00000 | + | 8.66025i | 0.225417 | + | 0.390434i | ||||
\(493\) | 12.0000 | 0.540453 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −8.00000 | −0.359573 | ||||||||
\(496\) | −2.00000 | − | 3.46410i | −0.0898027 | − | 0.155543i | ||||
\(497\) | 16.0000 | + | 27.7128i | 0.717698 | + | 1.24309i | ||||
\(498\) | −6.00000 | + | 10.3923i | −0.268866 | + | 0.465690i | ||||
\(499\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(500\) | −6.00000 | + | 10.3923i | −0.268328 | + | 0.464758i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.00000 | 0.178529 | ||||||||
\(503\) | −20.0000 | + | 34.6410i | −0.891756 | + | 1.54457i | −0.0539870 | + | 0.998542i | \(0.517193\pi\) |
−0.837769 | + | 0.546025i | \(0.816140\pi\) | |||||||
\(504\) | 2.00000 | + | 3.46410i | 0.0890871 | + | 0.154303i | ||||
\(505\) | −2.00000 | − | 3.46410i | −0.0889988 | − | 0.154150i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 21.0000 | + | 36.3731i | 0.930809 | + | 1.61221i | 0.781943 | + | 0.623350i | \(0.214229\pi\) |
0.148866 | + | 0.988857i | \(0.452438\pi\) | |||||||
\(510\) | −2.00000 | − | 3.46410i | −0.0885615 | − | 0.153393i | ||||
\(511\) | −4.00000 | + | 6.92820i | −0.176950 | + | 0.306486i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 4.00000 | − | 6.92820i | 0.176604 | − | 0.305888i | ||||
\(514\) | 3.00000 | − | 5.19615i | 0.132324 | − | 0.229192i | ||||
\(515\) | −32.0000 | −1.41009 | ||||||||
\(516\) | 2.00000 | − | 3.46410i | 0.0880451 | − | 0.152499i | ||||
\(517\) | 16.0000 | + | 27.7128i | 0.703679 | + | 1.21881i | ||||
\(518\) | 4.00000 | + | 6.92820i | 0.175750 | + | 0.304408i | ||||
\(519\) | 10.0000 | 0.438951 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −14.0000 | −0.613351 | −0.306676 | − | 0.951814i | \(-0.599217\pi\) | ||||
−0.306676 | + | 0.951814i | \(0.599217\pi\) | |||||||
\(522\) | −3.00000 | − | 5.19615i | −0.131306 | − | 0.227429i | ||||
\(523\) | 10.0000 | + | 17.3205i | 0.437269 | + | 0.757373i | 0.997478 | − | 0.0709788i | \(-0.0226123\pi\) |
−0.560208 | + | 0.828352i | \(0.689279\pi\) | |||||||
\(524\) | −2.00000 | + | 3.46410i | −0.0873704 | + | 0.151330i | ||||
\(525\) | −4.00000 | −0.174574 | ||||||||
\(526\) | −4.00000 | + | 6.92820i | −0.174408 | + | 0.302084i | ||||
\(527\) | −4.00000 | + | 6.92820i | −0.174243 | + | 0.301797i | ||||
\(528\) | −4.00000 | −0.174078 | ||||||||
\(529\) | 11.5000 | − | 19.9186i | 0.500000 | − | 0.866025i | ||||
\(530\) | −10.0000 | − | 17.3205i | −0.434372 | − | 0.752355i | ||||
\(531\) | 2.00000 | + | 3.46410i | 0.0867926 | + | 0.150329i | ||||
\(532\) | −32.0000 | −1.38738 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 14.0000 | 0.605839 | ||||||||
\(535\) | 12.0000 | + | 20.7846i | 0.518805 | + | 0.898597i | ||||
\(536\) | −8.00000 | − | 13.8564i | −0.345547 | − | 0.598506i | ||||
\(537\) | −6.00000 | + | 10.3923i | −0.258919 | + | 0.448461i | ||||
\(538\) | −26.0000 | −1.12094 | ||||||||
\(539\) | −18.0000 | + | 31.1769i | −0.775315 | + | 1.34288i | ||||
\(540\) | −1.00000 | + | 1.73205i | −0.0430331 | + | 0.0745356i | ||||
\(541\) | 34.0000 | 1.46177 | 0.730887 | − | 0.682498i | \(-0.239107\pi\) | ||||
0.730887 | + | 0.682498i | \(0.239107\pi\) | |||||||
\(542\) | −2.00000 | + | 3.46410i | −0.0859074 | + | 0.148796i | ||||
\(543\) | −5.00000 | − | 8.66025i | −0.214571 | − | 0.371647i | ||||
\(544\) | −1.00000 | − | 1.73205i | −0.0428746 | − | 0.0742611i | ||||
\(545\) | −4.00000 | −0.171341 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −28.0000 | −1.19719 | −0.598597 | − | 0.801050i | \(-0.704275\pi\) | ||||
−0.598597 | + | 0.801050i | \(0.704275\pi\) | |||||||
\(548\) | −5.00000 | − | 8.66025i | −0.213589 | − | 0.369948i | ||||
\(549\) | 1.00000 | + | 1.73205i | 0.0426790 | + | 0.0739221i | ||||
\(550\) | 2.00000 | − | 3.46410i | 0.0852803 | − | 0.147710i | ||||
\(551\) | 48.0000 | 2.04487 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 16.0000 | − | 27.7128i | 0.680389 | − | 1.17847i | ||||
\(554\) | 22.0000 | 0.934690 | ||||||||
\(555\) | −2.00000 | + | 3.46410i | −0.0848953 | + | 0.147043i | ||||
\(556\) | −6.00000 | − | 10.3923i | −0.254457 | − | 0.440732i | ||||
\(557\) | 9.00000 | + | 15.5885i | 0.381342 | + | 0.660504i | 0.991254 | − | 0.131965i | \(-0.0421286\pi\) |
−0.609912 | + | 0.792469i | \(0.708795\pi\) | |||||||
\(558\) | 4.00000 | 0.169334 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 8.00000 | 0.338062 | ||||||||
\(561\) | 4.00000 | + | 6.92820i | 0.168880 | + | 0.292509i | ||||
\(562\) | −13.0000 | − | 22.5167i | −0.548372 | − | 0.949808i | ||||
\(563\) | −2.00000 | + | 3.46410i | −0.0842900 | + | 0.145994i | −0.905088 | − | 0.425223i | \(-0.860196\pi\) |
0.820798 | + | 0.571218i | \(0.193529\pi\) | |||||||
\(564\) | 8.00000 | 0.336861 | ||||||||
\(565\) | −6.00000 | + | 10.3923i | −0.252422 | + | 0.437208i | ||||
\(566\) | 2.00000 | − | 3.46410i | 0.0840663 | − | 0.145607i | ||||
\(567\) | −4.00000 | −0.167984 | ||||||||
\(568\) | −4.00000 | + | 6.92820i | −0.167836 | + | 0.290701i | ||||
\(569\) | 15.0000 | + | 25.9808i | 0.628833 | + | 1.08917i | 0.987786 | + | 0.155815i | \(0.0498003\pi\) |
−0.358954 | + | 0.933355i | \(0.616866\pi\) | |||||||
\(570\) | −8.00000 | − | 13.8564i | −0.335083 | − | 0.580381i | ||||
\(571\) | −20.0000 | −0.836974 | −0.418487 | − | 0.908223i | \(-0.637439\pi\) | ||||
−0.418487 | + | 0.908223i | \(0.637439\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 8.00000 | 0.334205 | ||||||||
\(574\) | 20.0000 | + | 34.6410i | 0.834784 | + | 1.44589i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.500000 | + | 0.866025i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | −18.0000 | −0.749350 | −0.374675 | − | 0.927156i | \(-0.622246\pi\) | ||||
−0.374675 | + | 0.927156i | \(0.622246\pi\) | |||||||
\(578\) | 6.50000 | − | 11.2583i | 0.270364 | − | 0.468285i | ||||
\(579\) | 7.00000 | − | 12.1244i | 0.290910 | − | 0.503871i | ||||
\(580\) | −12.0000 | −0.498273 | ||||||||
\(581\) | −24.0000 | + | 41.5692i | −0.995688 | + | 1.72458i | ||||
\(582\) | −5.00000 | − | 8.66025i | −0.207257 | − | 0.358979i | ||||
\(583\) | 20.0000 | + | 34.6410i | 0.828315 | + | 1.43468i | ||||
\(584\) | −2.00000 | −0.0827606 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −26.0000 | −1.07405 | ||||||||
\(587\) | 2.00000 | + | 3.46410i | 0.0825488 | + | 0.142979i | 0.904344 | − | 0.426804i | \(-0.140361\pi\) |
−0.821795 | + | 0.569783i | \(0.807027\pi\) | |||||||
\(588\) | 4.50000 | + | 7.79423i | 0.185577 | + | 0.321429i | ||||
\(589\) | −16.0000 | + | 27.7128i | −0.659269 | + | 1.14189i | ||||
\(590\) | 8.00000 | 0.329355 | ||||||||
\(591\) | −9.00000 | + | 15.5885i | −0.370211 | + | 0.641223i | ||||
\(592\) | −1.00000 | + | 1.73205i | −0.0410997 | + | 0.0711868i | ||||
\(593\) | 42.0000 | 1.72473 | 0.862367 | − | 0.506284i | \(-0.168981\pi\) | ||||
0.862367 | + | 0.506284i | \(0.168981\pi\) | |||||||
\(594\) | 2.00000 | − | 3.46410i | 0.0820610 | − | 0.142134i | ||||
\(595\) | −8.00000 | − | 13.8564i | −0.327968 | − | 0.568057i | ||||
\(596\) | −3.00000 | − | 5.19615i | −0.122885 | − | 0.212843i | ||||
\(597\) | 8.00000 | 0.327418 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −24.0000 | −0.980613 | −0.490307 | − | 0.871550i | \(-0.663115\pi\) | ||||
−0.490307 | + | 0.871550i | \(0.663115\pi\) | |||||||
\(600\) | −0.500000 | − | 0.866025i | −0.0204124 | − | 0.0353553i | ||||
\(601\) | −13.0000 | − | 22.5167i | −0.530281 | − | 0.918474i | −0.999376 | − | 0.0353259i | \(-0.988753\pi\) |
0.469095 | − | 0.883148i | \(-0.344580\pi\) | |||||||
\(602\) | 8.00000 | − | 13.8564i | 0.326056 | − | 0.564745i | ||||
\(603\) | 16.0000 | 0.651570 | ||||||||
\(604\) | 6.00000 | − | 10.3923i | 0.244137 | − | 0.422857i | ||||
\(605\) | 5.00000 | − | 8.66025i | 0.203279 | − | 0.352089i | ||||
\(606\) | 2.00000 | 0.0812444 | ||||||||
\(607\) | 8.00000 | − | 13.8564i | 0.324710 | − | 0.562414i | −0.656744 | − | 0.754114i | \(-0.728067\pi\) |
0.981454 | + | 0.191700i | \(0.0614000\pi\) | |||||||
\(608\) | −4.00000 | − | 6.92820i | −0.162221 | − | 0.280976i | ||||
\(609\) | −12.0000 | − | 20.7846i | −0.486265 | − | 0.842235i | ||||
\(610\) | 4.00000 | 0.161955 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 2.00000 | 0.0808452 | ||||||||
\(613\) | −1.00000 | − | 1.73205i | −0.0403896 | − | 0.0699569i | 0.845124 | − | 0.534570i | \(-0.179527\pi\) |
−0.885514 | + | 0.464614i | \(0.846193\pi\) | |||||||
\(614\) | −4.00000 | − | 6.92820i | −0.161427 | − | 0.279600i | ||||
\(615\) | −10.0000 | + | 17.3205i | −0.403239 | + | 0.698430i | ||||
\(616\) | −16.0000 | −0.644658 | ||||||||
\(617\) | 3.00000 | − | 5.19615i | 0.120775 | − | 0.209189i | −0.799298 | − | 0.600935i | \(-0.794795\pi\) |
0.920074 | + | 0.391745i | \(0.128129\pi\) | |||||||
\(618\) | 8.00000 | − | 13.8564i | 0.321807 | − | 0.557386i | ||||
\(619\) | −32.0000 | −1.28619 | −0.643094 | − | 0.765787i | \(-0.722350\pi\) | ||||
−0.643094 | + | 0.765787i | \(0.722350\pi\) | |||||||
\(620\) | 4.00000 | − | 6.92820i | 0.160644 | − | 0.278243i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 56.0000 | 2.24359 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.0000 | −0.760000 | ||||||||
\(626\) | 3.00000 | + | 5.19615i | 0.119904 | + | 0.207680i | ||||
\(627\) | 16.0000 | + | 27.7128i | 0.638978 | + | 1.10674i | ||||
\(628\) | −7.00000 | + | 12.1244i | −0.279330 | + | 0.483814i | ||||
\(629\) | 4.00000 | 0.159490 | ||||||||
\(630\) | −4.00000 | + | 6.92820i | −0.159364 | + | 0.276026i | ||||
\(631\) | −18.0000 | + | 31.1769i | −0.716569 | + | 1.24113i | 0.245783 | + | 0.969325i | \(0.420955\pi\) |
−0.962351 | + | 0.271808i | \(0.912378\pi\) | |||||||
\(632\) | 8.00000 | 0.318223 | ||||||||
\(633\) | 6.00000 | − | 10.3923i | 0.238479 | − | 0.413057i | ||||
\(634\) | −3.00000 | − | 5.19615i | −0.119145 | − | 0.206366i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 10.0000 | 0.396526 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 24.0000 | 0.950169 | ||||||||
\(639\) | −4.00000 | − | 6.92820i | −0.158238 | − | 0.274075i | ||||
\(640\) | 1.00000 | + | 1.73205i | 0.0395285 | + | 0.0684653i | ||||
\(641\) | −1.00000 | + | 1.73205i | −0.0394976 | + | 0.0684119i | −0.885098 | − | 0.465404i | \(-0.845909\pi\) |
0.845601 | + | 0.533816i | \(0.179242\pi\) | |||||||
\(642\) | −12.0000 | −0.473602 | ||||||||
\(643\) | −8.00000 | + | 13.8564i | −0.315489 | + | 0.546443i | −0.979541 | − | 0.201243i | \(-0.935502\pi\) |
0.664052 | + | 0.747686i | \(0.268835\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 8.00000 | 0.315000 | ||||||||
\(646\) | −8.00000 | + | 13.8564i | −0.314756 | + | 0.545173i | ||||
\(647\) | −12.0000 | − | 20.7846i | −0.471769 | − | 0.817127i | 0.527710 | − | 0.849425i | \(-0.323051\pi\) |
−0.999478 | + | 0.0322975i | \(0.989718\pi\) | |||||||
\(648\) | −0.500000 | − | 0.866025i | −0.0196419 | − | 0.0340207i | ||||
\(649\) | −16.0000 | −0.628055 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 16.0000 | 0.627089 | ||||||||
\(652\) | −8.00000 | − | 13.8564i | −0.313304 | − | 0.542659i | ||||
\(653\) | 5.00000 | + | 8.66025i | 0.195665 | + | 0.338902i | 0.947118 | − | 0.320884i | \(-0.103980\pi\) |
−0.751453 | + | 0.659786i | \(0.770647\pi\) | |||||||
\(654\) | 1.00000 | − | 1.73205i | 0.0391031 | − | 0.0677285i | ||||
\(655\) | −8.00000 | −0.312586 | ||||||||
\(656\) | −5.00000 | + | 8.66025i | −0.195217 | + | 0.338126i | ||||
\(657\) | 1.00000 | − | 1.73205i | 0.0390137 | − | 0.0675737i | ||||
\(658\) | 32.0000 | 1.24749 | ||||||||
\(659\) | 18.0000 | − | 31.1769i | 0.701180 | − | 1.21448i | −0.266872 | − | 0.963732i | \(-0.585990\pi\) |
0.968052 | − | 0.250748i | \(-0.0806766\pi\) | |||||||
\(660\) | −4.00000 | − | 6.92820i | −0.155700 | − | 0.269680i | ||||
\(661\) | −1.00000 | − | 1.73205i | −0.0388955 | − | 0.0673690i | 0.845922 | − | 0.533306i | \(-0.179051\pi\) |
−0.884818 | + | 0.465937i | \(0.845717\pi\) | |||||||
\(662\) | −8.00000 | −0.310929 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −12.0000 | −0.465690 | ||||||||
\(665\) | −32.0000 | − | 55.4256i | −1.24091 | − | 2.14931i | ||||
\(666\) | −1.00000 | − | 1.73205i | −0.0387492 | − | 0.0671156i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.00000 | − | 3.46410i | 0.0773245 | − | 0.133930i | ||||
\(670\) | 16.0000 | − | 27.7128i | 0.618134 | − | 1.07064i | ||||
\(671\) | −8.00000 | −0.308837 | ||||||||
\(672\) | −2.00000 | + | 3.46410i | −0.0771517 | + | 0.133631i | ||||
\(673\) | 7.00000 | + | 12.1244i | 0.269830 | + | 0.467360i | 0.968818 | − | 0.247774i | \(-0.0796991\pi\) |
−0.698988 | + | 0.715134i | \(0.746366\pi\) | |||||||
\(674\) | −9.00000 | − | 15.5885i | −0.346667 | − | 0.600445i | ||||
\(675\) | 1.00000 | 0.0384900 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 38.0000 | 1.46046 | 0.730229 | − | 0.683202i | \(-0.239413\pi\) | ||||
0.730229 | + | 0.683202i | \(0.239413\pi\) | |||||||
\(678\) | −3.00000 | − | 5.19615i | −0.115214 | − | 0.199557i | ||||
\(679\) | −20.0000 | − | 34.6410i | −0.767530 | − | 1.32940i | ||||
\(680\) | 2.00000 | − | 3.46410i | 0.0766965 | − | 0.132842i | ||||
\(681\) | 20.0000 | 0.766402 | ||||||||
\(682\) | −8.00000 | + | 13.8564i | −0.306336 | + | 0.530589i | ||||
\(683\) | 22.0000 | − | 38.1051i | 0.841807 | − | 1.45805i | −0.0465592 | − | 0.998916i | \(-0.514826\pi\) |
0.888366 | − | 0.459136i | \(-0.151841\pi\) | |||||||
\(684\) | 8.00000 | 0.305888 | ||||||||
\(685\) | 10.0000 | − | 17.3205i | 0.382080 | − | 0.661783i | ||||
\(686\) | 4.00000 | + | 6.92820i | 0.152721 | + | 0.264520i | ||||
\(687\) | −11.0000 | − | 19.0526i | −0.419676 | − | 0.726900i | ||||
\(688\) | 4.00000 | 0.152499 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −16.0000 | − | 27.7128i | −0.608669 | − | 1.05425i | −0.991460 | − | 0.130410i | \(-0.958371\pi\) |
0.382791 | − | 0.923835i | \(-0.374963\pi\) | |||||||
\(692\) | 5.00000 | + | 8.66025i | 0.190071 | + | 0.329213i | ||||
\(693\) | 8.00000 | − | 13.8564i | 0.303895 | − | 0.526361i | ||||
\(694\) | −12.0000 | −0.455514 | ||||||||
\(695\) | 12.0000 | − | 20.7846i | 0.455186 | − | 0.788405i | ||||
\(696\) | 3.00000 | − | 5.19615i | 0.113715 | − | 0.196960i | ||||
\(697\) | 20.0000 | 0.757554 | ||||||||
\(698\) | 3.00000 | − | 5.19615i | 0.113552 | − | 0.196677i | ||||
\(699\) | 9.00000 | + | 15.5885i | 0.340411 | + | 0.589610i | ||||
\(700\) | −2.00000 | − | 3.46410i | −0.0755929 | − | 0.130931i | ||||
\(701\) | −50.0000 | −1.88847 | −0.944237 | − | 0.329267i | \(-0.893198\pi\) | ||||
−0.944237 | + | 0.329267i | \(0.893198\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 16.0000 | 0.603451 | ||||||||
\(704\) | −2.00000 | − | 3.46410i | −0.0753778 | − | 0.130558i | ||||
\(705\) | 8.00000 | + | 13.8564i | 0.301297 | + | 0.521862i | ||||
\(706\) | 7.00000 | − | 12.1244i | 0.263448 | − | 0.456306i | ||||
\(707\) | 8.00000 | 0.300871 | ||||||||
\(708\) | −2.00000 | + | 3.46410i | −0.0751646 | + | 0.130189i | ||||
\(709\) | 3.00000 | − | 5.19615i | 0.112667 | − | 0.195146i | −0.804178 | − | 0.594389i | \(-0.797394\pi\) |
0.916845 | + | 0.399244i | \(0.130727\pi\) | |||||||
\(710\) | −16.0000 | −0.600469 | ||||||||
\(711\) | −4.00000 | + | 6.92820i | −0.150012 | + | 0.259828i | ||||
\(712\) | 7.00000 | + | 12.1244i | 0.262336 | + | 0.454379i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 8.00000 | 0.299392 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −12.0000 | −0.448461 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 12.0000 | − | 20.7846i | 0.447524 | − | 0.775135i | −0.550700 | − | 0.834703i | \(-0.685639\pi\) |
0.998224 | + | 0.0595683i | \(0.0189724\pi\) | |||||||
\(720\) | −2.00000 | −0.0745356 | ||||||||
\(721\) | 32.0000 | − | 55.4256i | 1.19174 | − | 2.06416i | ||||
\(722\) | −22.5000 | + | 38.9711i | −0.837363 | + | 1.45036i | ||||
\(723\) | 10.0000 | 0.371904 | ||||||||
\(724\) | 5.00000 | − | 8.66025i | 0.185824 | − | 0.321856i | ||||
\(725\) | 3.00000 | + | 5.19615i | 0.111417 | + | 0.192980i | ||||
\(726\) | 2.50000 | + | 4.33013i | 0.0927837 | + | 0.160706i | ||||
\(727\) | −40.0000 | −1.48352 | −0.741759 | − | 0.670667i | \(-0.766008\pi\) | ||||
−0.741759 | + | 0.670667i | \(0.766008\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −2.00000 | − | 3.46410i | −0.0740233 | − | 0.128212i | ||||
\(731\) | −4.00000 | − | 6.92820i | −0.147945 | − | 0.256249i | ||||
\(732\) | −1.00000 | + | 1.73205i | −0.0369611 | + | 0.0640184i | ||||
\(733\) | 2.00000 | 0.0738717 | 0.0369358 | − | 0.999318i | \(-0.488240\pi\) | ||||
0.0369358 | + | 0.999318i | \(0.488240\pi\) | |||||||
\(734\) | −8.00000 | + | 13.8564i | −0.295285 | + | 0.511449i | ||||
\(735\) | −9.00000 | + | 15.5885i | −0.331970 | + | 0.574989i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −32.0000 | + | 55.4256i | −1.17874 | + | 2.04163i | ||||
\(738\) | −5.00000 | − | 8.66025i | −0.184053 | − | 0.318788i | ||||
\(739\) | 20.0000 | + | 34.6410i | 0.735712 | + | 1.27429i | 0.954410 | + | 0.298498i | \(0.0964856\pi\) |
−0.218698 | + | 0.975793i | \(0.570181\pi\) | |||||||
\(740\) | −4.00000 | −0.147043 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 40.0000 | 1.46845 | ||||||||
\(743\) | −12.0000 | − | 20.7846i | −0.440237 | − | 0.762513i | 0.557470 | − | 0.830197i | \(-0.311772\pi\) |
−0.997707 | + | 0.0676840i | \(0.978439\pi\) | |||||||
\(744\) | 2.00000 | + | 3.46410i | 0.0733236 | + | 0.127000i | ||||
\(745\) | 6.00000 | − | 10.3923i | 0.219823 | − | 0.380745i | ||||
\(746\) | 6.00000 | 0.219676 | ||||||||
\(747\) | 6.00000 | − | 10.3923i | 0.219529 | − | 0.380235i | ||||
\(748\) | −4.00000 | + | 6.92820i | −0.146254 | + | 0.253320i | ||||
\(749\) | −48.0000 | −1.75388 | ||||||||
\(750\) | 6.00000 | − | 10.3923i | 0.219089 | − | 0.379473i | ||||
\(751\) | 20.0000 | + | 34.6410i | 0.729810 | + | 1.26407i | 0.956963 | + | 0.290209i | \(0.0937250\pi\) |
−0.227153 | + | 0.973859i | \(0.572942\pi\) | |||||||
\(752\) | 4.00000 | + | 6.92820i | 0.145865 | + | 0.252646i | ||||
\(753\) | −4.00000 | −0.145768 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 24.0000 | 0.873449 | ||||||||
\(756\) | −2.00000 | − | 3.46410i | −0.0727393 | − | 0.125988i | ||||
\(757\) | −27.0000 | − | 46.7654i | −0.981332 | − | 1.69972i | −0.657222 | − | 0.753697i | \(-0.728269\pi\) |
−0.324109 | − | 0.946020i | \(-0.605065\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 8.00000 | − | 13.8564i | 0.290191 | − | 0.502625i | ||||
\(761\) | −13.0000 | + | 22.5167i | −0.471250 | + | 0.816228i | −0.999459 | − | 0.0328858i | \(-0.989530\pi\) |
0.528209 | + | 0.849114i | \(0.322864\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.00000 | − | 6.92820i | 0.144810 | − | 0.250818i | ||||
\(764\) | 4.00000 | + | 6.92820i | 0.144715 | + | 0.250654i | ||||
\(765\) | 2.00000 | + | 3.46410i | 0.0723102 | + | 0.125245i | ||||
\(766\) | 24.0000 | 0.867155 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | 1.00000 | + | 1.73205i | 0.0360609 | + | 0.0624593i | 0.883493 | − | 0.468445i | \(-0.155186\pi\) |
−0.847432 | + | 0.530904i | \(0.821852\pi\) | |||||||
\(770\) | −16.0000 | − | 27.7128i | −0.576600 | − | 0.998700i | ||||
\(771\) | −3.00000 | + | 5.19615i | −0.108042 | + | 0.187135i | ||||
\(772\) | 14.0000 | 0.503871 | ||||||||
\(773\) | −27.0000 | + | 46.7654i | −0.971123 | + | 1.68203i | −0.278944 | + | 0.960307i | \(0.589984\pi\) |
−0.692179 | + | 0.721726i | \(0.743349\pi\) | |||||||
\(774\) | −2.00000 | + | 3.46410i | −0.0718885 | + | 0.124515i | ||||
\(775\) | −4.00000 | −0.143684 | ||||||||
\(776\) | 5.00000 | − | 8.66025i | 0.179490 | − | 0.310885i | ||||
\(777\) | −4.00000 | − | 6.92820i | −0.143499 | − | 0.248548i | ||||
\(778\) | 13.0000 | + | 22.5167i | 0.466073 | + | 0.807261i | ||||
\(779\) | 80.0000 | 2.86630 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 32.0000 | 1.14505 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3.00000 | + | 5.19615i | 0.107211 | + | 0.185695i | ||||
\(784\) | −4.50000 | + | 7.79423i | −0.160714 | + | 0.278365i | ||||
\(785\) | −28.0000 | −0.999363 | ||||||||
\(786\) | 2.00000 | − | 3.46410i | 0.0713376 | − | 0.123560i | ||||
\(787\) | 20.0000 | − | 34.6410i | 0.712923 | − | 1.23482i | −0.250832 | − | 0.968031i | \(-0.580704\pi\) |
0.963755 | − | 0.266788i | \(-0.0859624\pi\) | |||||||
\(788\) | −18.0000 | −0.641223 | ||||||||
\(789\) | 4.00000 | − | 6.92820i | 0.142404 | − | 0.246651i | ||||
\(790\) | 8.00000 | + | 13.8564i | 0.284627 | + | 0.492989i | ||||
\(791\) | −12.0000 | − | 20.7846i | −0.426671 | − | 0.739016i | ||||
\(792\) | 4.00000 | 0.142134 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −6.00000 | −0.212932 | ||||||||
\(795\) | 10.0000 | + | 17.3205i | 0.354663 | + | 0.614295i | ||||
\(796\) | 4.00000 | + | 6.92820i | 0.141776 | + | 0.245564i | ||||
\(797\) | 1.00000 | − | 1.73205i | 0.0354218 | − | 0.0613524i | −0.847771 | − | 0.530362i | \(-0.822056\pi\) |
0.883193 | + | 0.469010i | \(0.155389\pi\) | |||||||
\(798\) | 32.0000 | 1.13279 | ||||||||
\(799\) | 8.00000 | − | 13.8564i | 0.283020 | − | 0.490204i | ||||
\(800\) | 0.500000 | − | 0.866025i | 0.0176777 | − | 0.0306186i | ||||
\(801\) | −14.0000 | −0.494666 | ||||||||
\(802\) | 3.00000 | − | 5.19615i | 0.105934 | − | 0.183483i | ||||
\(803\) | 4.00000 | + | 6.92820i | 0.141157 | + | 0.244491i | ||||
\(804\) | 8.00000 | + | 13.8564i | 0.282138 | + | 0.488678i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 26.0000 | 0.915243 | ||||||||
\(808\) | 1.00000 | + | 1.73205i | 0.0351799 | + | 0.0609333i | ||||
\(809\) | −1.00000 | − | 1.73205i | −0.0351581 | − | 0.0608957i | 0.847911 | − | 0.530139i | \(-0.177860\pi\) |
−0.883069 | + | 0.469243i | \(0.844527\pi\) | |||||||
\(810\) | 1.00000 | − | 1.73205i | 0.0351364 | − | 0.0608581i | ||||
\(811\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(812\) | 12.0000 | − | 20.7846i | 0.421117 | − | 0.729397i | ||||
\(813\) | 2.00000 | − | 3.46410i | 0.0701431 | − | 0.121491i | ||||
\(814\) | 8.00000 | 0.280400 | ||||||||
\(815\) | 16.0000 | − | 27.7128i | 0.560456 | − | 0.970737i | ||||
\(816\) | 1.00000 | + | 1.73205i | 0.0350070 | + | 0.0606339i | ||||
\(817\) | −16.0000 | − | 27.7128i | −0.559769 | − | 0.969549i | ||||
\(818\) | −2.00000 | −0.0699284 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −20.0000 | −0.698430 | ||||||||
\(821\) | 21.0000 | + | 36.3731i | 0.732905 | + | 1.26943i | 0.955636 | + | 0.294549i | \(0.0951694\pi\) |
−0.222731 | + | 0.974880i | \(0.571497\pi\) | |||||||
\(822\) | 5.00000 | + | 8.66025i | 0.174395 | + | 0.302061i | ||||
\(823\) | 8.00000 | − | 13.8564i | 0.278862 | − | 0.483004i | −0.692240 | − | 0.721668i | \(-0.743376\pi\) |
0.971102 | + | 0.238664i | \(0.0767093\pi\) | |||||||
\(824\) | 16.0000 | 0.557386 | ||||||||
\(825\) | −2.00000 | + | 3.46410i | −0.0696311 | + | 0.120605i | ||||
\(826\) | −8.00000 | + | 13.8564i | −0.278356 | + | 0.482126i | ||||
\(827\) | −28.0000 | −0.973655 | −0.486828 | − | 0.873498i | \(-0.661846\pi\) | ||||
−0.486828 | + | 0.873498i | \(0.661846\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.00000 | + | 1.73205i | 0.0347314 | + | 0.0601566i | 0.882869 | − | 0.469620i | \(-0.155609\pi\) |
−0.848137 | + | 0.529777i | \(0.822276\pi\) | |||||||
\(830\) | −12.0000 | − | 20.7846i | −0.416526 | − | 0.721444i | ||||
\(831\) | −22.0000 | −0.763172 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 18.0000 | 0.623663 | ||||||||
\(834\) | 6.00000 | + | 10.3923i | 0.207763 | + | 0.359856i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −16.0000 | + | 27.7128i | −0.553372 | + | 0.958468i | ||||
\(837\) | −4.00000 | −0.138260 | ||||||||
\(838\) | −2.00000 | + | 3.46410i | −0.0690889 | + | 0.119665i | ||||
\(839\) | −20.0000 | + | 34.6410i | −0.690477 | + | 1.19594i | 0.281205 | + | 0.959648i | \(0.409266\pi\) |
−0.971682 | + | 0.236293i | \(0.924067\pi\) | |||||||
\(840\) | −8.00000 | −0.276026 | ||||||||
\(841\) | −3.50000 | + | 6.06218i | −0.120690 | + | 0.209041i | ||||
\(842\) | 11.0000 | + | 19.0526i | 0.379085 | + | 0.656595i | ||||
\(843\) | 13.0000 | + | 22.5167i | 0.447744 | + | 0.775515i | ||||
\(844\) | 12.0000 | 0.413057 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −8.00000 | −0.275046 | ||||||||
\(847\) | 10.0000 | + | 17.3205i | 0.343604 | + | 0.595140i | ||||
\(848\) | 5.00000 | + | 8.66025i | 0.171701 | + | 0.297394i | ||||
\(849\) | −2.00000 | + | 3.46410i | −0.0686398 | + | 0.118888i | ||||
\(850\) | −2.00000 | −0.0685994 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 4.00000 | − | 6.92820i | 0.137038 | − | 0.237356i | ||||
\(853\) | 2.00000 | 0.0684787 | 0.0342393 | − | 0.999414i | \(-0.489099\pi\) | ||||
0.0342393 | + | 0.999414i | \(0.489099\pi\) | |||||||
\(854\) | −4.00000 | + | 6.92820i | −0.136877 | + | 0.237078i | ||||
\(855\) | 8.00000 | + | 13.8564i | 0.273594 | + | 0.473879i | ||||
\(856\) | −6.00000 | − | 10.3923i | −0.205076 | − | 0.355202i | ||||
\(857\) | 18.0000 | 0.614868 | 0.307434 | − | 0.951569i | \(-0.400530\pi\) | ||||
0.307434 | + | 0.951569i | \(0.400530\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −44.0000 | −1.50126 | −0.750630 | − | 0.660722i | \(-0.770250\pi\) | ||||
−0.750630 | + | 0.660722i | \(0.770250\pi\) | |||||||
\(860\) | 4.00000 | + | 6.92820i | 0.136399 | + | 0.236250i | ||||
\(861\) | −20.0000 | − | 34.6410i | −0.681598 | − | 1.18056i | ||||
\(862\) | −4.00000 | + | 6.92820i | −0.136241 | + | 0.235976i | ||||
\(863\) | −40.0000 | −1.36162 | −0.680808 | − | 0.732462i | \(-0.738371\pi\) | ||||
−0.680808 | + | 0.732462i | \(0.738371\pi\) | |||||||
\(864\) | 0.500000 | − | 0.866025i | 0.0170103 | − | 0.0294628i | ||||
\(865\) | −10.0000 | + | 17.3205i | −0.340010 | + | 0.588915i | ||||
\(866\) | −30.0000 | −1.01944 | ||||||||
\(867\) | −6.50000 | + | 11.2583i | −0.220752 | + | 0.382353i | ||||
\(868\) | 8.00000 | + | 13.8564i | 0.271538 | + | 0.470317i | ||||
\(869\) | −16.0000 | − | 27.7128i | −0.542763 | − | 0.940093i | ||||
\(870\) | 12.0000 | 0.406838 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 2.00000 | 0.0677285 | ||||||||
\(873\) | 5.00000 | + | 8.66025i | 0.169224 | + | 0.293105i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 24.0000 | − | 41.5692i | 0.811348 | − | 1.40530i | ||||
\(876\) | 2.00000 | 0.0675737 | ||||||||
\(877\) | 11.0000 | − | 19.0526i | 0.371444 | − | 0.643359i | −0.618344 | − | 0.785907i | \(-0.712196\pi\) |
0.989788 | + | 0.142548i | \(0.0455296\pi\) | |||||||
\(878\) | −8.00000 | + | 13.8564i | −0.269987 | + | 0.467631i | ||||
\(879\) | 26.0000 | 0.876958 | ||||||||
\(880\) | 4.00000 | − | 6.92820i | 0.134840 | − | 0.233550i | ||||
\(881\) | −13.0000 | − | 22.5167i | −0.437981 | − | 0.758606i | 0.559553 | − | 0.828795i | \(-0.310973\pi\) |
−0.997534 | + | 0.0701893i | \(0.977640\pi\) | |||||||
\(882\) | −4.50000 | − | 7.79423i | −0.151523 | − | 0.262445i | ||||
\(883\) | 4.00000 | 0.134611 | 0.0673054 | − | 0.997732i | \(-0.478560\pi\) | ||||
0.0673054 | + | 0.997732i | \(0.478560\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −8.00000 | −0.268917 | ||||||||
\(886\) | 2.00000 | + | 3.46410i | 0.0671913 | + | 0.116379i | ||||
\(887\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(888\) | 1.00000 | − | 1.73205i | 0.0335578 | − | 0.0581238i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −14.0000 | + | 24.2487i | −0.469281 | + | 0.812819i | ||||
\(891\) | −2.00000 | + | 3.46410i | −0.0670025 | + | 0.116052i | ||||
\(892\) | 4.00000 | 0.133930 | ||||||||
\(893\) | 32.0000 | − | 55.4256i | 1.07084 | − | 1.85475i | ||||
\(894\) | 3.00000 | + | 5.19615i | 0.100335 | + | 0.173785i | ||||
\(895\) | −12.0000 | − | 20.7846i | −0.401116 | − | 0.694753i | ||||
\(896\) | −4.00000 | −0.133631 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −6.00000 | −0.200223 | ||||||||
\(899\) | −12.0000 | − | 20.7846i | −0.400222 | − | 0.693206i | ||||
\(900\) | 0.500000 | + | 0.866025i | 0.0166667 | + | 0.0288675i | ||||
\(901\) | 10.0000 | − | 17.3205i | 0.333148 | − | 0.577030i | ||||
\(902\) | 40.0000 | 1.33185 | ||||||||
\(903\) | −8.00000 | + | 13.8564i | −0.266223 | + | 0.461112i | ||||
\(904\) | 3.00000 | − | 5.19615i | 0.0997785 | − | 0.172821i | ||||
\(905\) | 20.0000 | 0.664822 | ||||||||
\(906\) | −6.00000 | + | 10.3923i | −0.199337 | + | 0.345261i | ||||
\(907\) | −14.0000 | − | 24.2487i | −0.464862 | − | 0.805165i | 0.534333 | − | 0.845274i | \(-0.320563\pi\) |
−0.999195 | + | 0.0401089i | \(0.987230\pi\) | |||||||
\(908\) | 10.0000 | + | 17.3205i | 0.331862 | + | 0.574801i | ||||
\(909\) | −2.00000 | −0.0663358 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 40.0000 | 1.32526 | 0.662630 | − | 0.748947i | \(-0.269440\pi\) | ||||
0.662630 | + | 0.748947i | \(0.269440\pi\) | |||||||
\(912\) | 4.00000 | + | 6.92820i | 0.132453 | + | 0.229416i | ||||
\(913\) | 24.0000 | + | 41.5692i | 0.794284 | + | 1.37574i | ||||
\(914\) | −15.0000 | + | 25.9808i | −0.496156 | + | 0.859367i | ||||
\(915\) | −4.00000 | −0.132236 | ||||||||
\(916\) | 11.0000 | − | 19.0526i | 0.363450 | − | 0.629514i | ||||
\(917\) | 8.00000 | − | 13.8564i | 0.264183 | − | 0.457579i | ||||
\(918\) | −2.00000 | −0.0660098 | ||||||||
\(919\) | 8.00000 | − | 13.8564i | 0.263896 | − | 0.457081i | −0.703378 | − | 0.710816i | \(-0.748326\pi\) |
0.967274 | + | 0.253735i | \(0.0816592\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 4.00000 | + | 6.92820i | 0.131804 | + | 0.228292i | ||||
\(922\) | 6.00000 | 0.197599 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 16.0000 | 0.526361 | ||||||||
\(925\) | 1.00000 | + | 1.73205i | 0.0328798 | + | 0.0569495i | ||||
\(926\) | −10.0000 | − | 17.3205i | −0.328620 | − | 0.569187i | ||||
\(927\) | −8.00000 | + | 13.8564i | −0.262754 | + | 0.455104i | ||||
\(928\) | 6.00000 | 0.196960 | ||||||||
\(929\) | 23.0000 | − | 39.8372i | 0.754606 | − | 1.30702i | −0.190965 | − | 0.981597i | \(-0.561162\pi\) |
0.945570 | − | 0.325418i | \(-0.105505\pi\) | |||||||
\(930\) | −4.00000 | + | 6.92820i | −0.131165 | + | 0.227185i | ||||
\(931\) | 72.0000 | 2.35970 | ||||||||
\(932\) | −9.00000 | + | 15.5885i | −0.294805 | + | 0.510617i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 2.00000 | + | 3.46410i | 0.0654420 | + | 0.113349i | ||||
\(935\) | −16.0000 | −0.523256 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 26.0000 | 0.849383 | 0.424691 | − | 0.905338i | \(-0.360383\pi\) | ||||
0.424691 | + | 0.905338i | \(0.360383\pi\) | |||||||
\(938\) | 32.0000 | + | 55.4256i | 1.04484 | + | 1.80971i | ||||
\(939\) | −3.00000 | − | 5.19615i | −0.0979013 | − | 0.169570i | ||||
\(940\) | −8.00000 | + | 13.8564i | −0.260931 | + | 0.451946i | ||||
\(941\) | 46.0000 | 1.49956 | 0.749779 | − | 0.661689i | \(-0.230160\pi\) | ||||
0.749779 | + | 0.661689i | \(0.230160\pi\) | |||||||
\(942\) | 7.00000 | − | 12.1244i | 0.228072 | − | 0.395033i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | −4.00000 | −0.130189 | ||||||||
\(945\) | 4.00000 | − | 6.92820i | 0.130120 | − | 0.225374i | ||||
\(946\) | −8.00000 | − | 13.8564i | −0.260102 | − | 0.450511i | ||||
\(947\) | −2.00000 | − | 3.46410i | −0.0649913 | − | 0.112568i | 0.831699 | − | 0.555227i | \(-0.187369\pi\) |
−0.896690 | + | 0.442659i | \(0.854035\pi\) | |||||||
\(948\) | −8.00000 | −0.259828 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −8.00000 | −0.259554 | ||||||||
\(951\) | 3.00000 | + | 5.19615i | 0.0972817 | + | 0.168497i | ||||
\(952\) | 4.00000 | + | 6.92820i | 0.129641 | + | 0.224544i | ||||
\(953\) | 15.0000 | − | 25.9808i | 0.485898 | − | 0.841599i | −0.513971 | − | 0.857808i | \(-0.671826\pi\) |
0.999869 | + | 0.0162081i | \(0.00515944\pi\) | |||||||
\(954\) | −10.0000 | −0.323762 | ||||||||
\(955\) | −8.00000 | + | 13.8564i | −0.258874 | + | 0.448383i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −24.0000 | −0.775810 | ||||||||
\(958\) | −8.00000 | + | 13.8564i | −0.258468 | + | 0.447680i | ||||
\(959\) | 20.0000 | + | 34.6410i | 0.645834 | + | 1.11862i | ||||
\(960\) | −1.00000 | − | 1.73205i | −0.0322749 | − | 0.0559017i | ||||
\(961\) | −15.0000 | −0.483871 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 12.0000 | 0.386695 | ||||||||
\(964\) | 5.00000 | + | 8.66025i | 0.161039 | + | 0.278928i | ||||
\(965\) | 14.0000 | + | 24.2487i | 0.450676 | + | 0.780594i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.00000 | −0.128631 | −0.0643157 | − | 0.997930i | \(-0.520486\pi\) | ||||
−0.0643157 | + | 0.997930i | \(0.520486\pi\) | |||||||
\(968\) | −2.50000 | + | 4.33013i | −0.0803530 | + | 0.139176i | ||||
\(969\) | 8.00000 | − | 13.8564i | 0.256997 | − | 0.445132i | ||||
\(970\) | 20.0000 | 0.642161 | ||||||||
\(971\) | 14.0000 | − | 24.2487i | 0.449281 | − | 0.778178i | −0.549058 | − | 0.835784i | \(-0.685013\pi\) |
0.998339 | + | 0.0576061i | \(0.0183467\pi\) | |||||||
\(972\) | 0.500000 | + | 0.866025i | 0.0160375 | + | 0.0277778i | ||||
\(973\) | 24.0000 | + | 41.5692i | 0.769405 | + | 1.33265i | ||||
\(974\) | −4.00000 | −0.128168 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.00000 | −0.0640184 | ||||||||
\(977\) | 3.00000 | + | 5.19615i | 0.0959785 | + | 0.166240i | 0.910017 | − | 0.414572i | \(-0.136069\pi\) |
−0.814038 | + | 0.580812i | \(0.802735\pi\) | |||||||
\(978\) | 8.00000 | + | 13.8564i | 0.255812 | + | 0.443079i | ||||
\(979\) | 28.0000 | − | 48.4974i | 0.894884 | − | 1.54998i | ||||
\(980\) | −18.0000 | −0.574989 | ||||||||
\(981\) | −1.00000 | + | 1.73205i | −0.0319275 | + | 0.0553001i | ||||
\(982\) | −18.0000 | + | 31.1769i | −0.574403 | + | 0.994895i | ||||
\(983\) | −24.0000 | −0.765481 | −0.382741 | − | 0.923856i | \(-0.625020\pi\) | ||||
−0.382741 | + | 0.923856i | \(0.625020\pi\) | |||||||
\(984\) | 5.00000 | − | 8.66025i | 0.159394 | − | 0.276079i | ||||
\(985\) | −18.0000 | − | 31.1769i | −0.573528 | − | 0.993379i | ||||
\(986\) | −6.00000 | − | 10.3923i | −0.191079 | − | 0.330958i | ||||
\(987\) | −32.0000 | −1.01857 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 4.00000 | + | 6.92820i | 0.127128 | + | 0.220193i | ||||
\(991\) | 24.0000 | + | 41.5692i | 0.762385 | + | 1.32049i | 0.941618 | + | 0.336683i | \(0.109305\pi\) |
−0.179233 | + | 0.983807i | \(0.557362\pi\) | |||||||
\(992\) | −2.00000 | + | 3.46410i | −0.0635001 | + | 0.109985i | ||||
\(993\) | 8.00000 | 0.253872 | ||||||||
\(994\) | 16.0000 | − | 27.7128i | 0.507489 | − | 0.878997i | ||||
\(995\) | −8.00000 | + | 13.8564i | −0.253617 | + | 0.439278i | ||||
\(996\) | 12.0000 | 0.380235 | ||||||||
\(997\) | 13.0000 | − | 22.5167i | 0.411714 | − | 0.713110i | −0.583363 | − | 0.812211i | \(-0.698264\pi\) |
0.995077 | + | 0.0991016i | \(0.0315969\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1.00000 | + | 1.73205i | 0.0316386 | + | 0.0547997i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))