Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1014,2,Mod(361,1014)]
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, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1014.361");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1014 = 2 \cdot 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1014.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: | \(8.09683076496\) |
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 78) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 361.2 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1014.361 |
Dual form | 1014.2.i.c.823.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1014\mathbb{Z}\right)^\times\).
\(n\) | \(677\) | \(847\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 2.00000i | 0.894427i | 0.894427 | + | 0.447214i | \(0.147584\pi\) | ||||
−0.894427 | + | 0.447214i | \(0.852416\pi\) | |||||||
\(6\) | −0.866025 | − | 0.500000i | −0.353553 | − | 0.204124i | ||||
\(7\) | 1.73205 | + | 1.00000i | 0.654654 | + | 0.377964i | 0.790237 | − | 0.612801i | \(-0.209957\pi\) |
−0.135583 | + | 0.990766i | \(0.543291\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 1.00000 | + | 1.73205i | 0.316228 | + | 0.547723i | ||||
\(11\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(12\) | −1.00000 | −0.288675 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 2.00000 | 0.534522 | ||||||||
\(15\) | 1.73205 | − | 1.00000i | 0.447214 | − | 0.258199i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.00000 | − | 1.73205i | 0.242536 | − | 0.420084i | −0.718900 | − | 0.695113i | \(-0.755354\pi\) |
0.961436 | + | 0.275029i | \(0.0886875\pi\) | |||||||
\(18\) | 1.00000i | 0.235702i | ||||||||
\(19\) | 5.19615 | + | 3.00000i | 1.19208 | + | 0.688247i | 0.958778 | − | 0.284157i | \(-0.0917138\pi\) |
0.233301 | + | 0.972404i | \(0.425047\pi\) | |||||||
\(20\) | 1.73205 | + | 1.00000i | 0.387298 | + | 0.223607i | ||||
\(21\) | − | 2.00000i | − | 0.436436i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.00000 | − | 3.46410i | −0.417029 | − | 0.722315i | 0.578610 | − | 0.815604i | \(-0.303595\pi\) |
−0.995639 | + | 0.0932891i | \(0.970262\pi\) | |||||||
\(24\) | −0.866025 | + | 0.500000i | −0.176777 | + | 0.102062i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 1.73205 | − | 1.00000i | 0.327327 | − | 0.188982i | ||||
\(29\) | 5.00000 | + | 8.66025i | 0.928477 | + | 1.60817i | 0.785872 | + | 0.618389i | \(0.212214\pi\) |
0.142605 | + | 0.989780i | \(0.454452\pi\) | |||||||
\(30\) | 1.00000 | − | 1.73205i | 0.182574 | − | 0.316228i | ||||
\(31\) | 10.0000i | 1.79605i | 0.439941 | + | 0.898027i | \(0.354999\pi\) | ||||
−0.439941 | + | 0.898027i | \(0.645001\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 2.00000i | − | 0.342997i | ||||||
\(35\) | −2.00000 | + | 3.46410i | −0.338062 | + | 0.585540i | ||||
\(36\) | 0.500000 | + | 0.866025i | 0.0833333 | + | 0.144338i | ||||
\(37\) | 6.92820 | − | 4.00000i | 1.13899 | − | 0.657596i | 0.192809 | − | 0.981236i | \(-0.438240\pi\) |
0.946180 | + | 0.323640i | \(0.104907\pi\) | |||||||
\(38\) | 6.00000 | 0.973329 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.00000 | 0.316228 | ||||||||
\(41\) | 8.66025 | − | 5.00000i | 1.35250 | − | 0.780869i | 0.363905 | − | 0.931436i | \(-0.381443\pi\) |
0.988600 | + | 0.150567i | \(0.0481100\pi\) | |||||||
\(42\) | −1.00000 | − | 1.73205i | −0.154303 | − | 0.267261i | ||||
\(43\) | −2.00000 | + | 3.46410i | −0.304997 | + | 0.528271i | −0.977261 | − | 0.212041i | \(-0.931989\pi\) |
0.672264 | + | 0.740312i | \(0.265322\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.73205 | − | 1.00000i | −0.258199 | − | 0.149071i | ||||
\(46\) | −3.46410 | − | 2.00000i | −0.510754 | − | 0.294884i | ||||
\(47\) | − | 12.0000i | − | 1.75038i | −0.483779 | − | 0.875190i | \(-0.660736\pi\) | ||
0.483779 | − | 0.875190i | \(-0.339264\pi\) | |||||||
\(48\) | −0.500000 | + | 0.866025i | −0.0721688 | + | 0.125000i | ||||
\(49\) | −1.50000 | − | 2.59808i | −0.214286 | − | 0.371154i | ||||
\(50\) | 0.866025 | − | 0.500000i | 0.122474 | − | 0.0707107i | ||||
\(51\) | −2.00000 | −0.280056 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −6.00000 | −0.824163 | −0.412082 | − | 0.911147i | \(-0.635198\pi\) | ||||
−0.412082 | + | 0.911147i | \(0.635198\pi\) | |||||||
\(54\) | 0.866025 | − | 0.500000i | 0.117851 | − | 0.0680414i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.00000 | − | 1.73205i | 0.133631 | − | 0.231455i | ||||
\(57\) | − | 6.00000i | − | 0.794719i | ||||||
\(58\) | 8.66025 | + | 5.00000i | 1.13715 | + | 0.656532i | ||||
\(59\) | −3.46410 | − | 2.00000i | −0.450988 | − | 0.260378i | 0.257260 | − | 0.966342i | \(-0.417180\pi\) |
−0.708247 | + | 0.705965i | \(0.750514\pi\) | |||||||
\(60\) | − | 2.00000i | − | 0.258199i | ||||||
\(61\) | −1.00000 | + | 1.73205i | −0.128037 | + | 0.221766i | −0.922916 | − | 0.385002i | \(-0.874201\pi\) |
0.794879 | + | 0.606768i | \(0.207534\pi\) | |||||||
\(62\) | 5.00000 | + | 8.66025i | 0.635001 | + | 1.09985i | ||||
\(63\) | −1.73205 | + | 1.00000i | −0.218218 | + | 0.125988i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.73205 | + | 1.00000i | −0.211604 | + | 0.122169i | −0.602056 | − | 0.798454i | \(-0.705652\pi\) |
0.390453 | + | 0.920623i | \(0.372318\pi\) | |||||||
\(68\) | −1.00000 | − | 1.73205i | −0.121268 | − | 0.210042i | ||||
\(69\) | −2.00000 | + | 3.46410i | −0.240772 | + | 0.417029i | ||||
\(70\) | 4.00000i | 0.478091i | ||||||||
\(71\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(72\) | 0.866025 | + | 0.500000i | 0.102062 | + | 0.0589256i | ||||
\(73\) | − | 4.00000i | − | 0.468165i | −0.972217 | − | 0.234082i | \(-0.924791\pi\) | ||
0.972217 | − | 0.234082i | \(-0.0752085\pi\) | |||||||
\(74\) | 4.00000 | − | 6.92820i | 0.464991 | − | 0.805387i | ||||
\(75\) | −0.500000 | − | 0.866025i | −0.0577350 | − | 0.100000i | ||||
\(76\) | 5.19615 | − | 3.00000i | 0.596040 | − | 0.344124i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(80\) | 1.73205 | − | 1.00000i | 0.193649 | − | 0.111803i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 5.00000 | − | 8.66025i | 0.552158 | − | 0.956365i | ||||
\(83\) | − | 4.00000i | − | 0.439057i | −0.975606 | − | 0.219529i | \(-0.929548\pi\) | ||
0.975606 | − | 0.219529i | \(-0.0704519\pi\) | |||||||
\(84\) | −1.73205 | − | 1.00000i | −0.188982 | − | 0.109109i | ||||
\(85\) | 3.46410 | + | 2.00000i | 0.375735 | + | 0.216930i | ||||
\(86\) | 4.00000i | 0.431331i | ||||||||
\(87\) | 5.00000 | − | 8.66025i | 0.536056 | − | 0.928477i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.19615 | + | 3.00000i | −0.550791 | + | 0.317999i | −0.749441 | − | 0.662071i | \(-0.769678\pi\) |
0.198650 | + | 0.980071i | \(0.436344\pi\) | |||||||
\(90\) | −2.00000 | −0.210819 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −4.00000 | −0.417029 | ||||||||
\(93\) | 8.66025 | − | 5.00000i | 0.898027 | − | 0.518476i | ||||
\(94\) | −6.00000 | − | 10.3923i | −0.618853 | − | 1.07188i | ||||
\(95\) | −6.00000 | + | 10.3923i | −0.615587 | + | 1.06623i | ||||
\(96\) | 1.00000i | 0.102062i | ||||||||
\(97\) | 10.3923 | + | 6.00000i | 1.05518 | + | 0.609208i | 0.924095 | − | 0.382164i | \(-0.124821\pi\) |
0.131084 | + | 0.991371i | \(0.458154\pi\) | |||||||
\(98\) | −2.59808 | − | 1.50000i | −0.262445 | − | 0.151523i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.500000 | − | 0.866025i | 0.0500000 | − | 0.0866025i | ||||
\(101\) | −1.00000 | − | 1.73205i | −0.0995037 | − | 0.172345i | 0.811976 | − | 0.583691i | \(-0.198392\pi\) |
−0.911479 | + | 0.411346i | \(0.865059\pi\) | |||||||
\(102\) | −1.73205 | + | 1.00000i | −0.171499 | + | 0.0990148i | ||||
\(103\) | −16.0000 | −1.57653 | −0.788263 | − | 0.615338i | \(-0.789020\pi\) | ||||
−0.788263 | + | 0.615338i | \(0.789020\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 4.00000 | 0.390360 | ||||||||
\(106\) | −5.19615 | + | 3.00000i | −0.504695 | + | 0.291386i | ||||
\(107\) | −4.00000 | − | 6.92820i | −0.386695 | − | 0.669775i | 0.605308 | − | 0.795991i | \(-0.293050\pi\) |
−0.992003 | + | 0.126217i | \(0.959717\pi\) | |||||||
\(108\) | 0.500000 | − | 0.866025i | 0.0481125 | − | 0.0833333i | ||||
\(109\) | 4.00000i | 0.383131i | 0.981480 | + | 0.191565i | \(0.0613564\pi\) | ||||
−0.981480 | + | 0.191565i | \(0.938644\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −6.92820 | − | 4.00000i | −0.657596 | − | 0.379663i | ||||
\(112\) | − | 2.00000i | − | 0.188982i | ||||||
\(113\) | −7.00000 | + | 12.1244i | −0.658505 | + | 1.14056i | 0.322498 | + | 0.946570i | \(0.395477\pi\) |
−0.981003 | + | 0.193993i | \(0.937856\pi\) | |||||||
\(114\) | −3.00000 | − | 5.19615i | −0.280976 | − | 0.486664i | ||||
\(115\) | 6.92820 | − | 4.00000i | 0.646058 | − | 0.373002i | ||||
\(116\) | 10.0000 | 0.928477 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.00000 | −0.368230 | ||||||||
\(119\) | 3.46410 | − | 2.00000i | 0.317554 | − | 0.183340i | ||||
\(120\) | −1.00000 | − | 1.73205i | −0.0912871 | − | 0.158114i | ||||
\(121\) | −5.50000 | + | 9.52628i | −0.500000 | + | 0.866025i | ||||
\(122\) | 2.00000i | 0.181071i | ||||||||
\(123\) | −8.66025 | − | 5.00000i | −0.780869 | − | 0.450835i | ||||
\(124\) | 8.66025 | + | 5.00000i | 0.777714 | + | 0.449013i | ||||
\(125\) | 12.0000i | 1.07331i | ||||||||
\(126\) | −1.00000 | + | 1.73205i | −0.0890871 | + | 0.154303i | ||||
\(127\) | −4.00000 | − | 6.92820i | −0.354943 | − | 0.614779i | 0.632166 | − | 0.774833i | \(-0.282166\pi\) |
−0.987108 | + | 0.160055i | \(0.948833\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 4.00000 | 0.352180 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −8.00000 | −0.698963 | −0.349482 | − | 0.936943i | \(-0.613642\pi\) | ||||
−0.349482 | + | 0.936943i | \(0.613642\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 6.00000 | + | 10.3923i | 0.520266 | + | 0.901127i | ||||
\(134\) | −1.00000 | + | 1.73205i | −0.0863868 | + | 0.149626i | ||||
\(135\) | 2.00000i | 0.172133i | ||||||||
\(136\) | −1.73205 | − | 1.00000i | −0.148522 | − | 0.0857493i | ||||
\(137\) | 1.73205 | + | 1.00000i | 0.147979 | + | 0.0854358i | 0.572161 | − | 0.820141i | \(-0.306105\pi\) |
−0.424182 | + | 0.905577i | \(0.639438\pi\) | |||||||
\(138\) | 4.00000i | 0.340503i | ||||||||
\(139\) | 10.0000 | − | 17.3205i | 0.848189 | − | 1.46911i | −0.0346338 | − | 0.999400i | \(-0.511026\pi\) |
0.882823 | − | 0.469706i | \(-0.155640\pi\) | |||||||
\(140\) | 2.00000 | + | 3.46410i | 0.169031 | + | 0.292770i | ||||
\(141\) | −10.3923 | + | 6.00000i | −0.875190 | + | 0.505291i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | −17.3205 | + | 10.0000i | −1.43839 | + | 0.830455i | ||||
\(146\) | −2.00000 | − | 3.46410i | −0.165521 | − | 0.286691i | ||||
\(147\) | −1.50000 | + | 2.59808i | −0.123718 | + | 0.214286i | ||||
\(148\) | − | 8.00000i | − | 0.657596i | ||||||
\(149\) | −12.1244 | − | 7.00000i | −0.993266 | − | 0.573462i | −0.0870170 | − | 0.996207i | \(-0.527733\pi\) |
−0.906249 | + | 0.422744i | \(0.861067\pi\) | |||||||
\(150\) | −0.866025 | − | 0.500000i | −0.0707107 | − | 0.0408248i | ||||
\(151\) | 10.0000i | 0.813788i | 0.913475 | + | 0.406894i | \(0.133388\pi\) | ||||
−0.913475 | + | 0.406894i | \(0.866612\pi\) | |||||||
\(152\) | 3.00000 | − | 5.19615i | 0.243332 | − | 0.421464i | ||||
\(153\) | 1.00000 | + | 1.73205i | 0.0808452 | + | 0.140028i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −20.0000 | −1.60644 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.00000 | −0.159617 | −0.0798087 | − | 0.996810i | \(-0.525431\pi\) | ||||
−0.0798087 | + | 0.996810i | \(0.525431\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 3.00000 | + | 5.19615i | 0.237915 | + | 0.412082i | ||||
\(160\) | 1.00000 | − | 1.73205i | 0.0790569 | − | 0.136931i | ||||
\(161\) | − | 8.00000i | − | 0.630488i | ||||||
\(162\) | −0.866025 | − | 0.500000i | −0.0680414 | − | 0.0392837i | ||||
\(163\) | 12.1244 | + | 7.00000i | 0.949653 | + | 0.548282i | 0.892973 | − | 0.450110i | \(-0.148615\pi\) |
0.0566798 | + | 0.998392i | \(0.481949\pi\) | |||||||
\(164\) | − | 10.0000i | − | 0.780869i | ||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.00000 | − | 3.46410i | −0.155230 | − | 0.268866i | ||||
\(167\) | −10.3923 | + | 6.00000i | −0.804181 | + | 0.464294i | −0.844931 | − | 0.534875i | \(-0.820359\pi\) |
0.0407502 | + | 0.999169i | \(0.487025\pi\) | |||||||
\(168\) | −2.00000 | −0.154303 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 4.00000 | 0.306786 | ||||||||
\(171\) | −5.19615 | + | 3.00000i | −0.397360 | + | 0.229416i | ||||
\(172\) | 2.00000 | + | 3.46410i | 0.152499 | + | 0.264135i | ||||
\(173\) | 3.00000 | − | 5.19615i | 0.228086 | − | 0.395056i | −0.729155 | − | 0.684349i | \(-0.760087\pi\) |
0.957241 | + | 0.289292i | \(0.0934200\pi\) | |||||||
\(174\) | − | 10.0000i | − | 0.758098i | ||||||
\(175\) | 1.73205 | + | 1.00000i | 0.130931 | + | 0.0755929i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 4.00000i | 0.300658i | ||||||||
\(178\) | −3.00000 | + | 5.19615i | −0.224860 | + | 0.389468i | ||||
\(179\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(180\) | −1.73205 | + | 1.00000i | −0.129099 | + | 0.0745356i | ||||
\(181\) | 22.0000 | 1.63525 | 0.817624 | − | 0.575753i | \(-0.195291\pi\) | ||||
0.817624 | + | 0.575753i | \(0.195291\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.00000 | 0.147844 | ||||||||
\(184\) | −3.46410 | + | 2.00000i | −0.255377 | + | 0.147442i | ||||
\(185\) | 8.00000 | + | 13.8564i | 0.588172 | + | 1.01874i | ||||
\(186\) | 5.00000 | − | 8.66025i | 0.366618 | − | 0.635001i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −10.3923 | − | 6.00000i | −0.757937 | − | 0.437595i | ||||
\(189\) | 1.73205 | + | 1.00000i | 0.125988 | + | 0.0727393i | ||||
\(190\) | 12.0000i | 0.870572i | ||||||||
\(191\) | −6.00000 | + | 10.3923i | −0.434145 | + | 0.751961i | −0.997225 | − | 0.0744412i | \(-0.976283\pi\) |
0.563081 | + | 0.826402i | \(0.309616\pi\) | |||||||
\(192\) | 0.500000 | + | 0.866025i | 0.0360844 | + | 0.0625000i | ||||
\(193\) | 13.8564 | − | 8.00000i | 0.997406 | − | 0.575853i | 0.0899262 | − | 0.995948i | \(-0.471337\pi\) |
0.907480 | + | 0.420096i | \(0.138004\pi\) | |||||||
\(194\) | 12.0000 | 0.861550 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.00000 | −0.214286 | ||||||||
\(197\) | −19.0526 | + | 11.0000i | −1.35744 | + | 0.783718i | −0.989278 | − | 0.146045i | \(-0.953346\pi\) |
−0.368161 | + | 0.929762i | \(0.620012\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(200\) | − | 1.00000i | − | 0.0707107i | ||||||
\(201\) | 1.73205 | + | 1.00000i | 0.122169 | + | 0.0705346i | ||||
\(202\) | −1.73205 | − | 1.00000i | −0.121867 | − | 0.0703598i | ||||
\(203\) | 20.0000i | 1.40372i | ||||||||
\(204\) | −1.00000 | + | 1.73205i | −0.0700140 | + | 0.121268i | ||||
\(205\) | 10.0000 | + | 17.3205i | 0.698430 | + | 1.20972i | ||||
\(206\) | −13.8564 | + | 8.00000i | −0.965422 | + | 0.557386i | ||||
\(207\) | 4.00000 | 0.278019 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 3.46410 | − | 2.00000i | 0.239046 | − | 0.138013i | ||||
\(211\) | −6.00000 | − | 10.3923i | −0.413057 | − | 0.715436i | 0.582165 | − | 0.813070i | \(-0.302206\pi\) |
−0.995222 | + | 0.0976347i | \(0.968872\pi\) | |||||||
\(212\) | −3.00000 | + | 5.19615i | −0.206041 | + | 0.356873i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −6.92820 | − | 4.00000i | −0.473602 | − | 0.273434i | ||||
\(215\) | −6.92820 | − | 4.00000i | −0.472500 | − | 0.272798i | ||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | −10.0000 | + | 17.3205i | −0.678844 | + | 1.17579i | ||||
\(218\) | 2.00000 | + | 3.46410i | 0.135457 | + | 0.234619i | ||||
\(219\) | −3.46410 | + | 2.00000i | −0.234082 | + | 0.135147i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −8.00000 | −0.536925 | ||||||||
\(223\) | −12.1244 | + | 7.00000i | −0.811907 | + | 0.468755i | −0.847618 | − | 0.530607i | \(-0.821964\pi\) |
0.0357107 | + | 0.999362i | \(0.488630\pi\) | |||||||
\(224\) | −1.00000 | − | 1.73205i | −0.0668153 | − | 0.115728i | ||||
\(225\) | −0.500000 | + | 0.866025i | −0.0333333 | + | 0.0577350i | ||||
\(226\) | 14.0000i | 0.931266i | ||||||||
\(227\) | −6.92820 | − | 4.00000i | −0.459841 | − | 0.265489i | 0.252136 | − | 0.967692i | \(-0.418867\pi\) |
−0.711977 | + | 0.702202i | \(0.752200\pi\) | |||||||
\(228\) | −5.19615 | − | 3.00000i | −0.344124 | − | 0.198680i | ||||
\(229\) | 4.00000i | 0.264327i | 0.991228 | + | 0.132164i | \(0.0421925\pi\) | ||||
−0.991228 | + | 0.132164i | \(0.957808\pi\) | |||||||
\(230\) | 4.00000 | − | 6.92820i | 0.263752 | − | 0.456832i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 8.66025 | − | 5.00000i | 0.568574 | − | 0.328266i | ||||
\(233\) | −6.00000 | −0.393073 | −0.196537 | − | 0.980497i | \(-0.562969\pi\) | ||||
−0.196537 | + | 0.980497i | \(0.562969\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 24.0000 | 1.56559 | ||||||||
\(236\) | −3.46410 | + | 2.00000i | −0.225494 | + | 0.130189i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.00000 | − | 3.46410i | 0.129641 | − | 0.224544i | ||||
\(239\) | − | 16.0000i | − | 1.03495i | −0.855697 | − | 0.517477i | \(-0.826871\pi\) | ||
0.855697 | − | 0.517477i | \(-0.173129\pi\) | |||||||
\(240\) | −1.73205 | − | 1.00000i | −0.111803 | − | 0.0645497i | ||||
\(241\) | −17.3205 | − | 10.0000i | −1.11571 | − | 0.644157i | −0.175409 | − | 0.984496i | \(-0.556125\pi\) |
−0.940303 | + | 0.340339i | \(0.889458\pi\) | |||||||
\(242\) | 11.0000i | 0.707107i | ||||||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | 1.00000 | + | 1.73205i | 0.0640184 | + | 0.110883i | ||||
\(245\) | 5.19615 | − | 3.00000i | 0.331970 | − | 0.191663i | ||||
\(246\) | −10.0000 | −0.637577 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 10.0000 | 0.635001 | ||||||||
\(249\) | −3.46410 | + | 2.00000i | −0.219529 | + | 0.126745i | ||||
\(250\) | 6.00000 | + | 10.3923i | 0.379473 | + | 0.657267i | ||||
\(251\) | 14.0000 | − | 24.2487i | 0.883672 | − | 1.53057i | 0.0364441 | − | 0.999336i | \(-0.488397\pi\) |
0.847228 | − | 0.531229i | \(-0.178270\pi\) | |||||||
\(252\) | 2.00000i | 0.125988i | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −6.92820 | − | 4.00000i | −0.434714 | − | 0.250982i | ||||
\(255\) | − | 4.00000i | − | 0.250490i | ||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −9.00000 | − | 15.5885i | −0.561405 | − | 0.972381i | −0.997374 | − | 0.0724199i | \(-0.976928\pi\) |
0.435970 | − | 0.899961i | \(-0.356405\pi\) | |||||||
\(258\) | 3.46410 | − | 2.00000i | 0.215666 | − | 0.124515i | ||||
\(259\) | 16.0000 | 0.994192 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −10.0000 | −0.618984 | ||||||||
\(262\) | −6.92820 | + | 4.00000i | −0.428026 | + | 0.247121i | ||||
\(263\) | −12.0000 | − | 20.7846i | −0.739952 | − | 1.28163i | −0.952517 | − | 0.304487i | \(-0.901515\pi\) |
0.212565 | − | 0.977147i | \(-0.431818\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 12.0000i | − | 0.737154i | ||||||
\(266\) | 10.3923 | + | 6.00000i | 0.637193 | + | 0.367884i | ||||
\(267\) | 5.19615 | + | 3.00000i | 0.317999 | + | 0.183597i | ||||
\(268\) | 2.00000i | 0.122169i | ||||||||
\(269\) | 5.00000 | − | 8.66025i | 0.304855 | − | 0.528025i | −0.672374 | − | 0.740212i | \(-0.734725\pi\) |
0.977229 | + | 0.212187i | \(0.0680585\pi\) | |||||||
\(270\) | 1.00000 | + | 1.73205i | 0.0608581 | + | 0.105409i | ||||
\(271\) | −8.66025 | + | 5.00000i | −0.526073 | + | 0.303728i | −0.739416 | − | 0.673249i | \(-0.764898\pi\) |
0.213343 | + | 0.976977i | \(0.431565\pi\) | |||||||
\(272\) | −2.00000 | −0.121268 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.00000 | 0.120824 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 2.00000 | + | 3.46410i | 0.120386 | + | 0.208514i | ||||
\(277\) | 1.00000 | − | 1.73205i | 0.0600842 | − | 0.104069i | −0.834419 | − | 0.551131i | \(-0.814196\pi\) |
0.894503 | + | 0.447062i | \(0.147530\pi\) | |||||||
\(278\) | − | 20.0000i | − | 1.19952i | ||||||
\(279\) | −8.66025 | − | 5.00000i | −0.518476 | − | 0.299342i | ||||
\(280\) | 3.46410 | + | 2.00000i | 0.207020 | + | 0.119523i | ||||
\(281\) | − | 10.0000i | − | 0.596550i | −0.954480 | − | 0.298275i | \(-0.903589\pi\) | ||
0.954480 | − | 0.298275i | \(-0.0964112\pi\) | |||||||
\(282\) | −6.00000 | + | 10.3923i | −0.357295 | + | 0.618853i | ||||
\(283\) | −2.00000 | − | 3.46410i | −0.118888 | − | 0.205919i | 0.800439 | − | 0.599414i | \(-0.204600\pi\) |
−0.919327 | + | 0.393494i | \(0.871266\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 12.0000 | 0.710819 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 20.0000 | 1.18056 | ||||||||
\(288\) | 0.866025 | − | 0.500000i | 0.0510310 | − | 0.0294628i | ||||
\(289\) | 6.50000 | + | 11.2583i | 0.382353 | + | 0.662255i | ||||
\(290\) | −10.0000 | + | 17.3205i | −0.587220 | + | 1.01710i | ||||
\(291\) | − | 12.0000i | − | 0.703452i | ||||||
\(292\) | −3.46410 | − | 2.00000i | −0.202721 | − | 0.117041i | ||||
\(293\) | 12.1244 | + | 7.00000i | 0.708312 | + | 0.408944i | 0.810436 | − | 0.585827i | \(-0.199230\pi\) |
−0.102123 | + | 0.994772i | \(0.532564\pi\) | |||||||
\(294\) | 3.00000i | 0.174964i | ||||||||
\(295\) | 4.00000 | − | 6.92820i | 0.232889 | − | 0.403376i | ||||
\(296\) | −4.00000 | − | 6.92820i | −0.232495 | − | 0.402694i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −14.0000 | −0.810998 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | −6.92820 | + | 4.00000i | −0.399335 | + | 0.230556i | ||||
\(302\) | 5.00000 | + | 8.66025i | 0.287718 | + | 0.498342i | ||||
\(303\) | −1.00000 | + | 1.73205i | −0.0574485 | + | 0.0995037i | ||||
\(304\) | − | 6.00000i | − | 0.344124i | ||||||
\(305\) | −3.46410 | − | 2.00000i | −0.198354 | − | 0.114520i | ||||
\(306\) | 1.73205 | + | 1.00000i | 0.0990148 | + | 0.0571662i | ||||
\(307\) | − | 2.00000i | − | 0.114146i | −0.998370 | − | 0.0570730i | \(-0.981823\pi\) | ||
0.998370 | − | 0.0570730i | \(-0.0181768\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.00000 | + | 13.8564i | 0.455104 | + | 0.788263i | ||||
\(310\) | −17.3205 | + | 10.0000i | −0.983739 | + | 0.567962i | ||||
\(311\) | −28.0000 | −1.58773 | −0.793867 | − | 0.608091i | \(-0.791935\pi\) | ||||
−0.793867 | + | 0.608091i | \(0.791935\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −26.0000 | −1.46961 | −0.734803 | − | 0.678280i | \(-0.762726\pi\) | ||||
−0.734803 | + | 0.678280i | \(0.762726\pi\) | |||||||
\(314\) | −1.73205 | + | 1.00000i | −0.0977453 | + | 0.0564333i | ||||
\(315\) | −2.00000 | − | 3.46410i | −0.112687 | − | 0.195180i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 18.0000i | 1.01098i | 0.862832 | + | 0.505490i | \(0.168688\pi\) | ||||
−0.862832 | + | 0.505490i | \(0.831312\pi\) | |||||||
\(318\) | 5.19615 | + | 3.00000i | 0.291386 | + | 0.168232i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | − | 2.00000i | − | 0.111803i | ||||||
\(321\) | −4.00000 | + | 6.92820i | −0.223258 | + | 0.386695i | ||||
\(322\) | −4.00000 | − | 6.92820i | −0.222911 | − | 0.386094i | ||||
\(323\) | 10.3923 | − | 6.00000i | 0.578243 | − | 0.333849i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 14.0000 | 0.775388 | ||||||||
\(327\) | 3.46410 | − | 2.00000i | 0.191565 | − | 0.110600i | ||||
\(328\) | −5.00000 | − | 8.66025i | −0.276079 | − | 0.478183i | ||||
\(329\) | 12.0000 | − | 20.7846i | 0.661581 | − | 1.14589i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.66025 | + | 5.00000i | 0.476011 | + | 0.274825i | 0.718752 | − | 0.695266i | \(-0.244713\pi\) |
−0.242742 | + | 0.970091i | \(0.578047\pi\) | |||||||
\(332\) | −3.46410 | − | 2.00000i | −0.190117 | − | 0.109764i | ||||
\(333\) | 8.00000i | 0.438397i | ||||||||
\(334\) | −6.00000 | + | 10.3923i | −0.328305 | + | 0.568642i | ||||
\(335\) | −2.00000 | − | 3.46410i | −0.109272 | − | 0.189264i | ||||
\(336\) | −1.73205 | + | 1.00000i | −0.0944911 | + | 0.0545545i | ||||
\(337\) | −2.00000 | −0.108947 | −0.0544735 | − | 0.998515i | \(-0.517348\pi\) | ||||
−0.0544735 | + | 0.998515i | \(0.517348\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 14.0000 | 0.760376 | ||||||||
\(340\) | 3.46410 | − | 2.00000i | 0.187867 | − | 0.108465i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −3.00000 | + | 5.19615i | −0.162221 | + | 0.280976i | ||||
\(343\) | − | 20.0000i | − | 1.07990i | ||||||
\(344\) | 3.46410 | + | 2.00000i | 0.186772 | + | 0.107833i | ||||
\(345\) | −6.92820 | − | 4.00000i | −0.373002 | − | 0.215353i | ||||
\(346\) | − | 6.00000i | − | 0.322562i | ||||||
\(347\) | 6.00000 | − | 10.3923i | 0.322097 | − | 0.557888i | −0.658824 | − | 0.752297i | \(-0.728946\pi\) |
0.980921 | + | 0.194409i | \(0.0622790\pi\) | |||||||
\(348\) | −5.00000 | − | 8.66025i | −0.268028 | − | 0.464238i | ||||
\(349\) | −13.8564 | + | 8.00000i | −0.741716 | + | 0.428230i | −0.822693 | − | 0.568486i | \(-0.807529\pi\) |
0.0809766 | + | 0.996716i | \(0.474196\pi\) | |||||||
\(350\) | 2.00000 | 0.106904 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 22.5167 | − | 13.0000i | 1.19844 | − | 0.691920i | 0.238233 | − | 0.971208i | \(-0.423432\pi\) |
0.960207 | + | 0.279288i | \(0.0900983\pi\) | |||||||
\(354\) | 2.00000 | + | 3.46410i | 0.106299 | + | 0.184115i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 6.00000i | 0.317999i | ||||||||
\(357\) | −3.46410 | − | 2.00000i | −0.183340 | − | 0.105851i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 4.00000i | 0.211112i | 0.994413 | + | 0.105556i | \(0.0336622\pi\) | ||||
−0.994413 | + | 0.105556i | \(0.966338\pi\) | |||||||
\(360\) | −1.00000 | + | 1.73205i | −0.0527046 | + | 0.0912871i | ||||
\(361\) | 8.50000 | + | 14.7224i | 0.447368 | + | 0.774865i | ||||
\(362\) | 19.0526 | − | 11.0000i | 1.00138 | − | 0.578147i | ||||
\(363\) | 11.0000 | 0.577350 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.00000 | 0.418739 | ||||||||
\(366\) | 1.73205 | − | 1.00000i | 0.0905357 | − | 0.0522708i | ||||
\(367\) | −4.00000 | − | 6.92820i | −0.208798 | − | 0.361649i | 0.742538 | − | 0.669804i | \(-0.233622\pi\) |
−0.951336 | + | 0.308155i | \(0.900289\pi\) | |||||||
\(368\) | −2.00000 | + | 3.46410i | −0.104257 | + | 0.180579i | ||||
\(369\) | 10.0000i | 0.520579i | ||||||||
\(370\) | 13.8564 | + | 8.00000i | 0.720360 | + | 0.415900i | ||||
\(371\) | −10.3923 | − | 6.00000i | −0.539542 | − | 0.311504i | ||||
\(372\) | − | 10.0000i | − | 0.518476i | ||||||
\(373\) | 3.00000 | − | 5.19615i | 0.155334 | − | 0.269047i | −0.777847 | − | 0.628454i | \(-0.783688\pi\) |
0.933181 | + | 0.359408i | \(0.117021\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 10.3923 | − | 6.00000i | 0.536656 | − | 0.309839i | ||||
\(376\) | −12.0000 | −0.618853 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 2.00000 | 0.102869 | ||||||||
\(379\) | 29.4449 | − | 17.0000i | 1.51248 | − | 0.873231i | 0.512588 | − | 0.858635i | \(-0.328687\pi\) |
0.999893 | − | 0.0145964i | \(-0.00464634\pi\) | |||||||
\(380\) | 6.00000 | + | 10.3923i | 0.307794 | + | 0.533114i | ||||
\(381\) | −4.00000 | + | 6.92820i | −0.204926 | + | 0.354943i | ||||
\(382\) | 12.0000i | 0.613973i | ||||||||
\(383\) | 3.46410 | + | 2.00000i | 0.177007 | + | 0.102195i | 0.585886 | − | 0.810394i | \(-0.300747\pi\) |
−0.408879 | + | 0.912589i | \(0.634080\pi\) | |||||||
\(384\) | 0.866025 | + | 0.500000i | 0.0441942 | + | 0.0255155i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 8.00000 | − | 13.8564i | 0.407189 | − | 0.705273i | ||||
\(387\) | −2.00000 | − | 3.46410i | −0.101666 | − | 0.176090i | ||||
\(388\) | 10.3923 | − | 6.00000i | 0.527589 | − | 0.304604i | ||||
\(389\) | 30.0000 | 1.52106 | 0.760530 | − | 0.649303i | \(-0.224939\pi\) | ||||
0.760530 | + | 0.649303i | \(0.224939\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −8.00000 | −0.404577 | ||||||||
\(392\) | −2.59808 | + | 1.50000i | −0.131223 | + | 0.0757614i | ||||
\(393\) | 4.00000 | + | 6.92820i | 0.201773 | + | 0.349482i | ||||
\(394\) | −11.0000 | + | 19.0526i | −0.554172 | + | 0.959854i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.92820 | − | 4.00000i | −0.347717 | − | 0.200754i | 0.315963 | − | 0.948772i | \(-0.397673\pi\) |
−0.663679 | + | 0.748017i | \(0.731006\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 6.00000 | − | 10.3923i | 0.300376 | − | 0.520266i | ||||
\(400\) | −0.500000 | − | 0.866025i | −0.0250000 | − | 0.0433013i | ||||
\(401\) | −25.9808 | + | 15.0000i | −1.29742 | + | 0.749064i | −0.979957 | − | 0.199207i | \(-0.936163\pi\) |
−0.317460 | + | 0.948272i | \(0.602830\pi\) | |||||||
\(402\) | 2.00000 | 0.0997509 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −2.00000 | −0.0995037 | ||||||||
\(405\) | 1.73205 | − | 1.00000i | 0.0860663 | − | 0.0496904i | ||||
\(406\) | 10.0000 | + | 17.3205i | 0.496292 | + | 0.859602i | ||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 2.00000i | 0.0990148i | ||||||||
\(409\) | −3.46410 | − | 2.00000i | −0.171289 | − | 0.0988936i | 0.411905 | − | 0.911227i | \(-0.364864\pi\) |
−0.583193 | + | 0.812333i | \(0.698197\pi\) | |||||||
\(410\) | 17.3205 | + | 10.0000i | 0.855399 | + | 0.493865i | ||||
\(411\) | − | 2.00000i | − | 0.0986527i | ||||||
\(412\) | −8.00000 | + | 13.8564i | −0.394132 | + | 0.682656i | ||||
\(413\) | −4.00000 | − | 6.92820i | −0.196827 | − | 0.340915i | ||||
\(414\) | 3.46410 | − | 2.00000i | 0.170251 | − | 0.0982946i | ||||
\(415\) | 8.00000 | 0.392705 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −20.0000 | −0.979404 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −20.0000 | − | 34.6410i | −0.977064 | − | 1.69232i | −0.672949 | − | 0.739689i | \(-0.734973\pi\) |
−0.304115 | − | 0.952635i | \(-0.598361\pi\) | |||||||
\(420\) | 2.00000 | − | 3.46410i | 0.0975900 | − | 0.169031i | ||||
\(421\) | 20.0000i | 0.974740i | 0.873195 | + | 0.487370i | \(0.162044\pi\) | ||||
−0.873195 | + | 0.487370i | \(0.837956\pi\) | |||||||
\(422\) | −10.3923 | − | 6.00000i | −0.505889 | − | 0.292075i | ||||
\(423\) | 10.3923 | + | 6.00000i | 0.505291 | + | 0.291730i | ||||
\(424\) | 6.00000i | 0.291386i | ||||||||
\(425\) | 1.00000 | − | 1.73205i | 0.0485071 | − | 0.0840168i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.46410 | + | 2.00000i | −0.167640 | + | 0.0967868i | ||||
\(428\) | −8.00000 | −0.386695 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.00000 | −0.385794 | ||||||||
\(431\) | −17.3205 | + | 10.0000i | −0.834300 | + | 0.481683i | −0.855323 | − | 0.518096i | \(-0.826641\pi\) |
0.0210230 | + | 0.999779i | \(0.493308\pi\) | |||||||
\(432\) | −0.500000 | − | 0.866025i | −0.0240563 | − | 0.0416667i | ||||
\(433\) | 13.0000 | − | 22.5167i | 0.624740 | − | 1.08208i | −0.363851 | − | 0.931457i | \(-0.618538\pi\) |
0.988591 | − | 0.150624i | \(-0.0481284\pi\) | |||||||
\(434\) | 20.0000i | 0.960031i | ||||||||
\(435\) | 17.3205 | + | 10.0000i | 0.830455 | + | 0.479463i | ||||
\(436\) | 3.46410 | + | 2.00000i | 0.165900 | + | 0.0957826i | ||||
\(437\) | − | 24.0000i | − | 1.14808i | ||||||
\(438\) | −2.00000 | + | 3.46410i | −0.0955637 | + | 0.165521i | ||||
\(439\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.00000 | 0.142857 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −16.0000 | −0.760183 | −0.380091 | − | 0.924949i | \(-0.624107\pi\) | ||||
−0.380091 | + | 0.924949i | \(0.624107\pi\) | |||||||
\(444\) | −6.92820 | + | 4.00000i | −0.328798 | + | 0.189832i | ||||
\(445\) | −6.00000 | − | 10.3923i | −0.284427 | − | 0.492642i | ||||
\(446\) | −7.00000 | + | 12.1244i | −0.331460 | + | 0.574105i | ||||
\(447\) | 14.0000i | 0.662177i | ||||||||
\(448\) | −1.73205 | − | 1.00000i | −0.0818317 | − | 0.0472456i | ||||
\(449\) | 5.19615 | + | 3.00000i | 0.245222 | + | 0.141579i | 0.617574 | − | 0.786513i | \(-0.288115\pi\) |
−0.372353 | + | 0.928091i | \(0.621449\pi\) | |||||||
\(450\) | 1.00000i | 0.0471405i | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 7.00000 | + | 12.1244i | 0.329252 | + | 0.570282i | ||||
\(453\) | 8.66025 | − | 5.00000i | 0.406894 | − | 0.234920i | ||||
\(454\) | −8.00000 | −0.375459 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −6.00000 | −0.280976 | ||||||||
\(457\) | 24.2487 | − | 14.0000i | 1.13431 | − | 0.654892i | 0.189292 | − | 0.981921i | \(-0.439381\pi\) |
0.945015 | + | 0.327028i | \(0.106047\pi\) | |||||||
\(458\) | 2.00000 | + | 3.46410i | 0.0934539 | + | 0.161867i | ||||
\(459\) | 1.00000 | − | 1.73205i | 0.0466760 | − | 0.0808452i | ||||
\(460\) | − | 8.00000i | − | 0.373002i | ||||||
\(461\) | 25.9808 | + | 15.0000i | 1.21004 | + | 0.698620i | 0.962769 | − | 0.270326i | \(-0.0871313\pi\) |
0.247276 | + | 0.968945i | \(0.420465\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.00000i | 0.278844i | 0.990233 | + | 0.139422i | \(0.0445244\pi\) | ||||
−0.990233 | + | 0.139422i | \(0.955476\pi\) | |||||||
\(464\) | 5.00000 | − | 8.66025i | 0.232119 | − | 0.402042i | ||||
\(465\) | 10.0000 | + | 17.3205i | 0.463739 | + | 0.803219i | ||||
\(466\) | −5.19615 | + | 3.00000i | −0.240707 | + | 0.138972i | ||||
\(467\) | −12.0000 | −0.555294 | −0.277647 | − | 0.960683i | \(-0.589555\pi\) | ||||
−0.277647 | + | 0.960683i | \(0.589555\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.00000 | −0.184703 | ||||||||
\(470\) | 20.7846 | − | 12.0000i | 0.958723 | − | 0.553519i | ||||
\(471\) | 1.00000 | + | 1.73205i | 0.0460776 | + | 0.0798087i | ||||
\(472\) | −2.00000 | + | 3.46410i | −0.0920575 | + | 0.159448i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5.19615 | + | 3.00000i | 0.238416 | + | 0.137649i | ||||
\(476\) | − | 4.00000i | − | 0.183340i | ||||||
\(477\) | 3.00000 | − | 5.19615i | 0.137361 | − | 0.237915i | ||||
\(478\) | −8.00000 | − | 13.8564i | −0.365911 | − | 0.633777i | ||||
\(479\) | 20.7846 | − | 12.0000i | 0.949673 | − | 0.548294i | 0.0566937 | − | 0.998392i | \(-0.481944\pi\) |
0.892979 | + | 0.450098i | \(0.148611\pi\) | |||||||
\(480\) | −2.00000 | −0.0912871 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −20.0000 | −0.910975 | ||||||||
\(483\) | −6.92820 | + | 4.00000i | −0.315244 | + | 0.182006i | ||||
\(484\) | 5.50000 | + | 9.52628i | 0.250000 | + | 0.433013i | ||||
\(485\) | −12.0000 | + | 20.7846i | −0.544892 | + | 0.943781i | ||||
\(486\) | 1.00000i | 0.0453609i | ||||||||
\(487\) | −15.5885 | − | 9.00000i | −0.706380 | − | 0.407829i | 0.103339 | − | 0.994646i | \(-0.467047\pi\) |
−0.809719 | + | 0.586817i | \(0.800381\pi\) | |||||||
\(488\) | 1.73205 | + | 1.00000i | 0.0784063 | + | 0.0452679i | ||||
\(489\) | − | 14.0000i | − | 0.633102i | ||||||
\(490\) | 3.00000 | − | 5.19615i | 0.135526 | − | 0.234738i | ||||
\(491\) | 14.0000 | + | 24.2487i | 0.631811 | + | 1.09433i | 0.987181 | + | 0.159603i | \(0.0510215\pi\) |
−0.355370 | + | 0.934726i | \(0.615645\pi\) | |||||||
\(492\) | −8.66025 | + | 5.00000i | −0.390434 | + | 0.225417i | ||||
\(493\) | 20.0000 | 0.900755 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8.66025 | − | 5.00000i | 0.388857 | − | 0.224507i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −2.00000 | + | 3.46410i | −0.0896221 | + | 0.155230i | ||||
\(499\) | 14.0000i | 0.626726i | 0.949633 | + | 0.313363i | \(0.101456\pi\) | ||||
−0.949633 | + | 0.313363i | \(0.898544\pi\) | |||||||
\(500\) | 10.3923 | + | 6.00000i | 0.464758 | + | 0.268328i | ||||
\(501\) | 10.3923 | + | 6.00000i | 0.464294 | + | 0.268060i | ||||
\(502\) | − | 28.0000i | − | 1.24970i | ||||||
\(503\) | −12.0000 | + | 20.7846i | −0.535054 | + | 0.926740i | 0.464107 | + | 0.885779i | \(0.346375\pi\) |
−0.999161 | + | 0.0409609i | \(0.986958\pi\) | |||||||
\(504\) | 1.00000 | + | 1.73205i | 0.0445435 | + | 0.0771517i | ||||
\(505\) | 3.46410 | − | 2.00000i | 0.154150 | − | 0.0889988i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8.00000 | −0.354943 | ||||||||
\(509\) | −5.19615 | + | 3.00000i | −0.230315 | + | 0.132973i | −0.610718 | − | 0.791849i | \(-0.709119\pi\) |
0.380402 | + | 0.924821i | \(0.375786\pi\) | |||||||
\(510\) | −2.00000 | − | 3.46410i | −0.0885615 | − | 0.153393i | ||||
\(511\) | 4.00000 | − | 6.92820i | 0.176950 | − | 0.306486i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 5.19615 | + | 3.00000i | 0.229416 | + | 0.132453i | ||||
\(514\) | −15.5885 | − | 9.00000i | −0.687577 | − | 0.396973i | ||||
\(515\) | − | 32.0000i | − | 1.41009i | ||||||
\(516\) | 2.00000 | − | 3.46410i | 0.0880451 | − | 0.152499i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 13.8564 | − | 8.00000i | 0.608816 | − | 0.351500i | ||||
\(519\) | −6.00000 | −0.263371 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −18.0000 | −0.788594 | −0.394297 | − | 0.918983i | \(-0.629012\pi\) | ||||
−0.394297 | + | 0.918983i | \(0.629012\pi\) | |||||||
\(522\) | −8.66025 | + | 5.00000i | −0.379049 | + | 0.218844i | ||||
\(523\) | −2.00000 | − | 3.46410i | −0.0874539 | − | 0.151475i | 0.818980 | − | 0.573822i | \(-0.194540\pi\) |
−0.906434 | + | 0.422347i | \(0.861206\pi\) | |||||||
\(524\) | −4.00000 | + | 6.92820i | −0.174741 | + | 0.302660i | ||||
\(525\) | − | 2.00000i | − | 0.0872872i | ||||||
\(526\) | −20.7846 | − | 12.0000i | −0.906252 | − | 0.523225i | ||||
\(527\) | 17.3205 | + | 10.0000i | 0.754493 | + | 0.435607i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.50000 | − | 6.06218i | 0.152174 | − | 0.263573i | ||||
\(530\) | −6.00000 | − | 10.3923i | −0.260623 | − | 0.451413i | ||||
\(531\) | 3.46410 | − | 2.00000i | 0.150329 | − | 0.0867926i | ||||
\(532\) | 12.0000 | 0.520266 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 6.00000 | 0.259645 | ||||||||
\(535\) | 13.8564 | − | 8.00000i | 0.599065 | − | 0.345870i | ||||
\(536\) | 1.00000 | + | 1.73205i | 0.0431934 | + | 0.0748132i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 10.0000i | − | 0.431131i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 1.73205 | + | 1.00000i | 0.0745356 | + | 0.0430331i | ||||
\(541\) | − | 20.0000i | − | 0.859867i | −0.902861 | − | 0.429934i | \(-0.858537\pi\) | ||
0.902861 | − | 0.429934i | \(-0.141463\pi\) | |||||||
\(542\) | −5.00000 | + | 8.66025i | −0.214768 | + | 0.371990i | ||||
\(543\) | −11.0000 | − | 19.0526i | −0.472055 | − | 0.817624i | ||||
\(544\) | −1.73205 | + | 1.00000i | −0.0742611 | + | 0.0428746i | ||||
\(545\) | −8.00000 | −0.342682 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 28.0000 | 1.19719 | 0.598597 | − | 0.801050i | \(-0.295725\pi\) | ||||
0.598597 | + | 0.801050i | \(0.295725\pi\) | |||||||
\(548\) | 1.73205 | − | 1.00000i | 0.0739895 | − | 0.0427179i | ||||
\(549\) | −1.00000 | − | 1.73205i | −0.0426790 | − | 0.0739221i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 60.0000i | 2.55609i | ||||||||
\(552\) | 3.46410 | + | 2.00000i | 0.147442 | + | 0.0851257i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | − | 2.00000i | − | 0.0849719i | ||||||
\(555\) | 8.00000 | − | 13.8564i | 0.339581 | − | 0.588172i | ||||
\(556\) | −10.0000 | − | 17.3205i | −0.424094 | − | 0.734553i | ||||
\(557\) | 15.5885 | − | 9.00000i | 0.660504 | − | 0.381342i | −0.131965 | − | 0.991254i | \(-0.542129\pi\) |
0.792469 | + | 0.609912i | \(0.208795\pi\) | |||||||
\(558\) | −10.0000 | −0.423334 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 4.00000 | 0.169031 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.00000 | − | 8.66025i | −0.210912 | − | 0.365311i | ||||
\(563\) | 8.00000 | − | 13.8564i | 0.337160 | − | 0.583978i | −0.646737 | − | 0.762713i | \(-0.723867\pi\) |
0.983897 | + | 0.178735i | \(0.0572004\pi\) | |||||||
\(564\) | 12.0000i | 0.505291i | ||||||||
\(565\) | −24.2487 | − | 14.0000i | −1.02015 | − | 0.588984i | ||||
\(566\) | −3.46410 | − | 2.00000i | −0.145607 | − | 0.0840663i | ||||
\(567\) | − | 2.00000i | − | 0.0839921i | ||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −5.00000 | − | 8.66025i | −0.209611 | − | 0.363057i | 0.741981 | − | 0.670421i | \(-0.233886\pi\) |
−0.951592 | + | 0.307364i | \(0.900553\pi\) | |||||||
\(570\) | 10.3923 | − | 6.00000i | 0.435286 | − | 0.251312i | ||||
\(571\) | −28.0000 | −1.17176 | −0.585882 | − | 0.810397i | \(-0.699252\pi\) | ||||
−0.585882 | + | 0.810397i | \(0.699252\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 12.0000 | 0.501307 | ||||||||
\(574\) | 17.3205 | − | 10.0000i | 0.722944 | − | 0.417392i | ||||
\(575\) | −2.00000 | − | 3.46410i | −0.0834058 | − | 0.144463i | ||||
\(576\) | 0.500000 | − | 0.866025i | 0.0208333 | − | 0.0360844i | ||||
\(577\) | 8.00000i | 0.333044i | 0.986038 | + | 0.166522i | \(0.0532537\pi\) | ||||
−0.986038 | + | 0.166522i | \(0.946746\pi\) | |||||||
\(578\) | 11.2583 | + | 6.50000i | 0.468285 | + | 0.270364i | ||||
\(579\) | −13.8564 | − | 8.00000i | −0.575853 | − | 0.332469i | ||||
\(580\) | 20.0000i | 0.830455i | ||||||||
\(581\) | 4.00000 | − | 6.92820i | 0.165948 | − | 0.287430i | ||||
\(582\) | −6.00000 | − | 10.3923i | −0.248708 | − | 0.430775i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −4.00000 | −0.165521 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 14.0000 | 0.578335 | ||||||||
\(587\) | 24.2487 | − | 14.0000i | 1.00085 | − | 0.577842i | 0.0923513 | − | 0.995726i | \(-0.470562\pi\) |
0.908500 | + | 0.417885i | \(0.137228\pi\) | |||||||
\(588\) | 1.50000 | + | 2.59808i | 0.0618590 | + | 0.107143i | ||||
\(589\) | −30.0000 | + | 51.9615i | −1.23613 | + | 2.14104i | ||||
\(590\) | − | 8.00000i | − | 0.329355i | ||||||
\(591\) | 19.0526 | + | 11.0000i | 0.783718 | + | 0.452480i | ||||
\(592\) | −6.92820 | − | 4.00000i | −0.284747 | − | 0.164399i | ||||
\(593\) | 26.0000i | 1.06769i | 0.845582 | + | 0.533846i | \(0.179254\pi\) | ||||
−0.845582 | + | 0.533846i | \(0.820746\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.00000 | + | 6.92820i | 0.163984 | + | 0.284029i | ||||
\(596\) | −12.1244 | + | 7.00000i | −0.496633 | + | 0.286731i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(600\) | −0.866025 | + | 0.500000i | −0.0353553 | + | 0.0204124i | ||||
\(601\) | −11.0000 | − | 19.0526i | −0.448699 | − | 0.777170i | 0.549602 | − | 0.835426i | \(-0.314779\pi\) |
−0.998302 | + | 0.0582563i | \(0.981446\pi\) | |||||||
\(602\) | −4.00000 | + | 6.92820i | −0.163028 | + | 0.282372i | ||||
\(603\) | − | 2.00000i | − | 0.0814463i | ||||||
\(604\) | 8.66025 | + | 5.00000i | 0.352381 | + | 0.203447i | ||||
\(605\) | −19.0526 | − | 11.0000i | −0.774597 | − | 0.447214i | ||||
\(606\) | 2.00000i | 0.0812444i | ||||||||
\(607\) | 16.0000 | − | 27.7128i | 0.649420 | − | 1.12483i | −0.333842 | − | 0.942629i | \(-0.608345\pi\) |
0.983262 | − | 0.182199i | \(-0.0583216\pi\) | |||||||
\(608\) | −3.00000 | − | 5.19615i | −0.121666 | − | 0.210732i | ||||
\(609\) | 17.3205 | − | 10.0000i | 0.701862 | − | 0.405220i | ||||
\(610\) | −4.00000 | −0.161955 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 2.00000 | 0.0808452 | ||||||||
\(613\) | 13.8564 | − | 8.00000i | 0.559655 | − | 0.323117i | −0.193352 | − | 0.981129i | \(-0.561936\pi\) |
0.753007 | + | 0.658012i | \(0.228603\pi\) | |||||||
\(614\) | −1.00000 | − | 1.73205i | −0.0403567 | − | 0.0698999i | ||||
\(615\) | 10.0000 | − | 17.3205i | 0.403239 | − | 0.698430i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 19.0526 | + | 11.0000i | 0.767027 | + | 0.442843i | 0.831813 | − | 0.555056i | \(-0.187303\pi\) |
−0.0647859 | + | 0.997899i | \(0.520636\pi\) | |||||||
\(618\) | 13.8564 | + | 8.00000i | 0.557386 | + | 0.321807i | ||||
\(619\) | − | 26.0000i | − | 1.04503i | −0.852631 | − | 0.522514i | \(-0.824994\pi\) | ||
0.852631 | − | 0.522514i | \(-0.175006\pi\) | |||||||
\(620\) | −10.0000 | + | 17.3205i | −0.401610 | + | 0.695608i | ||||
\(621\) | −2.00000 | − | 3.46410i | −0.0802572 | − | 0.139010i | ||||
\(622\) | −24.2487 | + | 14.0000i | −0.972285 | + | 0.561349i | ||||
\(623\) | −12.0000 | −0.480770 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.0000 | −0.760000 | ||||||||
\(626\) | −22.5167 | + | 13.0000i | −0.899947 | + | 0.519584i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.00000 | + | 1.73205i | −0.0399043 | + | 0.0691164i | ||||
\(629\) | − | 16.0000i | − | 0.637962i | ||||||
\(630\) | −3.46410 | − | 2.00000i | −0.138013 | − | 0.0796819i | ||||
\(631\) | −8.66025 | − | 5.00000i | −0.344759 | − | 0.199047i | 0.317615 | − | 0.948220i | \(-0.397118\pi\) |
−0.662375 | + | 0.749173i | \(0.730451\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −6.00000 | + | 10.3923i | −0.238479 | + | 0.413057i | ||||
\(634\) | 9.00000 | + | 15.5885i | 0.357436 | + | 0.619097i | ||||
\(635\) | 13.8564 | − | 8.00000i | 0.549875 | − | 0.317470i | ||||
\(636\) | 6.00000 | 0.237915 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.00000 | − | 1.73205i | −0.0395285 | − | 0.0684653i | ||||
\(641\) | 9.00000 | − | 15.5885i | 0.355479 | − | 0.615707i | −0.631721 | − | 0.775196i | \(-0.717651\pi\) |
0.987200 | + | 0.159489i | \(0.0509845\pi\) | |||||||
\(642\) | 8.00000i | 0.315735i | ||||||||
\(643\) | −5.19615 | − | 3.00000i | −0.204916 | − | 0.118308i | 0.394030 | − | 0.919097i | \(-0.371080\pi\) |
−0.598947 | + | 0.800789i | \(0.704414\pi\) | |||||||
\(644\) | −6.92820 | − | 4.00000i | −0.273009 | − | 0.157622i | ||||
\(645\) | 8.00000i | 0.315000i | ||||||||
\(646\) | 6.00000 | − | 10.3923i | 0.236067 | − | 0.408880i | ||||
\(647\) | 16.0000 | + | 27.7128i | 0.629025 | + | 1.08950i | 0.987748 | + | 0.156059i | \(0.0498790\pi\) |
−0.358723 | + | 0.933444i | \(0.616788\pi\) | |||||||
\(648\) | −0.866025 | + | 0.500000i | −0.0340207 | + | 0.0196419i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 20.0000 | 0.783862 | ||||||||
\(652\) | 12.1244 | − | 7.00000i | 0.474826 | − | 0.274141i | ||||
\(653\) | 13.0000 | + | 22.5167i | 0.508729 | + | 0.881145i | 0.999949 | + | 0.0101092i | \(0.00321793\pi\) |
−0.491220 | + | 0.871036i | \(0.663449\pi\) | |||||||
\(654\) | 2.00000 | − | 3.46410i | 0.0782062 | − | 0.135457i | ||||
\(655\) | − | 16.0000i | − | 0.625172i | ||||||
\(656\) | −8.66025 | − | 5.00000i | −0.338126 | − | 0.195217i | ||||
\(657\) | 3.46410 | + | 2.00000i | 0.135147 | + | 0.0780274i | ||||
\(658\) | − | 24.0000i | − | 0.935617i | ||||||
\(659\) | −10.0000 | + | 17.3205i | −0.389545 | + | 0.674711i | −0.992388 | − | 0.123148i | \(-0.960701\pi\) |
0.602844 | + | 0.797859i | \(0.294034\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −34.6410 | + | 20.0000i | −1.34738 | + | 0.777910i | −0.987878 | − | 0.155235i | \(-0.950387\pi\) |
−0.359502 | + | 0.933144i | \(0.617053\pi\) | |||||||
\(662\) | 10.0000 | 0.388661 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.00000 | −0.155230 | ||||||||
\(665\) | −20.7846 | + | 12.0000i | −0.805993 | + | 0.465340i | ||||
\(666\) | 4.00000 | + | 6.92820i | 0.154997 | + | 0.268462i | ||||
\(667\) | 20.0000 | − | 34.6410i | 0.774403 | − | 1.34131i | ||||
\(668\) | 12.0000i | 0.464294i | ||||||||
\(669\) | 12.1244 | + | 7.00000i | 0.468755 | + | 0.270636i | ||||
\(670\) | −3.46410 | − | 2.00000i | −0.133830 | − | 0.0772667i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −1.00000 | + | 1.73205i | −0.0385758 | + | 0.0668153i | ||||
\(673\) | 3.00000 | + | 5.19615i | 0.115642 | + | 0.200297i | 0.918036 | − | 0.396497i | \(-0.129774\pi\) |
−0.802395 | + | 0.596794i | \(0.796441\pi\) | |||||||
\(674\) | −1.73205 | + | 1.00000i | −0.0667161 | + | 0.0385186i | ||||
\(675\) | 1.00000 | 0.0384900 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 18.0000 | 0.691796 | 0.345898 | − | 0.938272i | \(-0.387574\pi\) | ||||
0.345898 | + | 0.938272i | \(0.387574\pi\) | |||||||
\(678\) | 12.1244 | − | 7.00000i | 0.465633 | − | 0.268833i | ||||
\(679\) | 12.0000 | + | 20.7846i | 0.460518 | + | 0.797640i | ||||
\(680\) | 2.00000 | − | 3.46410i | 0.0766965 | − | 0.132842i | ||||
\(681\) | 8.00000i | 0.306561i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 20.7846 | + | 12.0000i | 0.795301 | + | 0.459167i | 0.841825 | − | 0.539750i | \(-0.181481\pi\) |
−0.0465244 | + | 0.998917i | \(0.514815\pi\) | |||||||
\(684\) | 6.00000i | 0.229416i | ||||||||
\(685\) | −2.00000 | + | 3.46410i | −0.0764161 | + | 0.132357i | ||||
\(686\) | −10.0000 | − | 17.3205i | −0.381802 | − | 0.661300i | ||||
\(687\) | 3.46410 | − | 2.00000i | 0.132164 | − | 0.0763048i | ||||
\(688\) | 4.00000 | 0.152499 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −8.00000 | −0.304555 | ||||||||
\(691\) | −8.66025 | + | 5.00000i | −0.329452 | + | 0.190209i | −0.655598 | − | 0.755110i | \(-0.727583\pi\) |
0.326146 | + | 0.945319i | \(0.394250\pi\) | |||||||
\(692\) | −3.00000 | − | 5.19615i | −0.114043 | − | 0.197528i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 12.0000i | − | 0.455514i | ||||||
\(695\) | 34.6410 | + | 20.0000i | 1.31401 | + | 0.758643i | ||||
\(696\) | −8.66025 | − | 5.00000i | −0.328266 | − | 0.189525i | ||||
\(697\) | − | 20.0000i | − | 0.757554i | ||||||
\(698\) | −8.00000 | + | 13.8564i | −0.302804 | + | 0.524473i | ||||
\(699\) | 3.00000 | + | 5.19615i | 0.113470 | + | 0.196537i | ||||
\(700\) | 1.73205 | − | 1.00000i | 0.0654654 | − | 0.0377964i | ||||
\(701\) | 22.0000 | 0.830929 | 0.415464 | − | 0.909610i | \(-0.363619\pi\) | ||||
0.415464 | + | 0.909610i | \(0.363619\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 48.0000 | 1.81035 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −12.0000 | − | 20.7846i | −0.451946 | − | 0.782794i | ||||
\(706\) | 13.0000 | − | 22.5167i | 0.489261 | − | 0.847426i | ||||
\(707\) | − | 4.00000i | − | 0.150435i | ||||||
\(708\) | 3.46410 | + | 2.00000i | 0.130189 | + | 0.0751646i | ||||
\(709\) | 31.1769 | + | 18.0000i | 1.17087 | + | 0.676004i | 0.953886 | − | 0.300170i | \(-0.0970434\pi\) |
0.216988 | + | 0.976174i | \(0.430377\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.00000 | + | 5.19615i | 0.112430 | + | 0.194734i | ||||
\(713\) | 34.6410 | − | 20.0000i | 1.29732 | − | 0.749006i | ||||
\(714\) | −4.00000 | −0.149696 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −13.8564 | + | 8.00000i | −0.517477 | + | 0.298765i | ||||
\(718\) | 2.00000 | + | 3.46410i | 0.0746393 | + | 0.129279i | ||||
\(719\) | −10.0000 | + | 17.3205i | −0.372937 | + | 0.645946i | −0.990016 | − | 0.140955i | \(-0.954983\pi\) |
0.617079 | + | 0.786901i | \(0.288316\pi\) | |||||||
\(720\) | 2.00000i | 0.0745356i | ||||||||
\(721\) | −27.7128 | − | 16.0000i | −1.03208 | − | 0.595871i | ||||
\(722\) | 14.7224 | + | 8.50000i | 0.547912 | + | 0.316337i | ||||
\(723\) | 20.0000i | 0.743808i | ||||||||
\(724\) | 11.0000 | − | 19.0526i | 0.408812 | − | 0.708083i | ||||
\(725\) | 5.00000 | + | 8.66025i | 0.185695 | + | 0.321634i | ||||
\(726\) | 9.52628 | − | 5.50000i | 0.353553 | − | 0.204124i | ||||
\(727\) | 8.00000 | 0.296704 | 0.148352 | − | 0.988935i | \(-0.452603\pi\) | ||||
0.148352 | + | 0.988935i | \(0.452603\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 6.92820 | − | 4.00000i | 0.256424 | − | 0.148047i | ||||
\(731\) | 4.00000 | + | 6.92820i | 0.147945 | + | 0.256249i | ||||
\(732\) | 1.00000 | − | 1.73205i | 0.0369611 | − | 0.0640184i | ||||
\(733\) | − | 44.0000i | − | 1.62518i | −0.582838 | − | 0.812589i | \(-0.698058\pi\) | ||
0.582838 | − | 0.812589i | \(-0.301942\pi\) | |||||||
\(734\) | −6.92820 | − | 4.00000i | −0.255725 | − | 0.147643i | ||||
\(735\) | −5.19615 | − | 3.00000i | −0.191663 | − | 0.110657i | ||||
\(736\) | 4.00000i | 0.147442i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 5.00000 | + | 8.66025i | 0.184053 | + | 0.318788i | ||||
\(739\) | −22.5167 | + | 13.0000i | −0.828289 | + | 0.478213i | −0.853266 | − | 0.521475i | \(-0.825382\pi\) |
0.0249776 | + | 0.999688i | \(0.492049\pi\) | |||||||
\(740\) | 16.0000 | 0.588172 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −12.0000 | −0.440534 | ||||||||
\(743\) | 13.8564 | − | 8.00000i | 0.508342 | − | 0.293492i | −0.223810 | − | 0.974633i | \(-0.571849\pi\) |
0.732152 | + | 0.681141i | \(0.238516\pi\) | |||||||
\(744\) | −5.00000 | − | 8.66025i | −0.183309 | − | 0.317500i | ||||
\(745\) | 14.0000 | − | 24.2487i | 0.512920 | − | 0.888404i | ||||
\(746\) | − | 6.00000i | − | 0.219676i | ||||||
\(747\) | 3.46410 | + | 2.00000i | 0.126745 | + | 0.0731762i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 16.0000i | − | 0.584627i | ||||||
\(750\) | 6.00000 | − | 10.3923i | 0.219089 | − | 0.379473i | ||||
\(751\) | −16.0000 | − | 27.7128i | −0.583848 | − | 1.01125i | −0.995018 | − | 0.0996961i | \(-0.968213\pi\) |
0.411170 | − | 0.911559i | \(-0.365120\pi\) | |||||||
\(752\) | −10.3923 | + | 6.00000i | −0.378968 | + | 0.218797i | ||||
\(753\) | −28.0000 | −1.02038 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −20.0000 | −0.727875 | ||||||||
\(756\) | 1.73205 | − | 1.00000i | 0.0629941 | − | 0.0363696i | ||||
\(757\) | 11.0000 | + | 19.0526i | 0.399802 | + | 0.692477i | 0.993701 | − | 0.112062i | \(-0.0357456\pi\) |
−0.593899 | + | 0.804539i | \(0.702412\pi\) | |||||||
\(758\) | 17.0000 | − | 29.4449i | 0.617468 | − | 1.06949i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 10.3923 | + | 6.00000i | 0.376969 | + | 0.217643i | ||||
\(761\) | −25.9808 | − | 15.0000i | −0.941802 | − | 0.543750i | −0.0512772 | − | 0.998684i | \(-0.516329\pi\) |
−0.890525 | + | 0.454935i | \(0.849663\pi\) | |||||||
\(762\) | 8.00000i | 0.289809i | ||||||||
\(763\) | −4.00000 | + | 6.92820i | −0.144810 | + | 0.250818i | ||||
\(764\) | 6.00000 | + | 10.3923i | 0.217072 | + | 0.375980i | ||||
\(765\) | −3.46410 | + | 2.00000i | −0.125245 | + | 0.0723102i | ||||
\(766\) | 4.00000 | 0.144526 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 1.00000 | 0.0360844 | ||||||||
\(769\) | 20.7846 | − | 12.0000i | 0.749512 | − | 0.432731i | −0.0760054 | − | 0.997107i | \(-0.524217\pi\) |
0.825518 | + | 0.564376i | \(0.190883\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −9.00000 | + | 15.5885i | −0.324127 | + | 0.561405i | ||||
\(772\) | − | 16.0000i | − | 0.575853i | ||||||
\(773\) | −5.19615 | − | 3.00000i | −0.186893 | − | 0.107903i | 0.403634 | − | 0.914920i | \(-0.367747\pi\) |
−0.590527 | + | 0.807018i | \(0.701080\pi\) | |||||||
\(774\) | −3.46410 | − | 2.00000i | −0.124515 | − | 0.0718885i | ||||
\(775\) | 10.0000i | 0.359211i | ||||||||
\(776\) | 6.00000 | − | 10.3923i | 0.215387 | − | 0.373062i | ||||
\(777\) | −8.00000 | − | 13.8564i | −0.286998 | − | 0.497096i | ||||
\(778\) | 25.9808 | − | 15.0000i | 0.931455 | − | 0.537776i | ||||
\(779\) | 60.0000 | 2.14972 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −6.92820 | + | 4.00000i | −0.247752 | + | 0.143040i | ||||
\(783\) | 5.00000 | + | 8.66025i | 0.178685 | + | 0.309492i | ||||
\(784\) | −1.50000 | + | 2.59808i | −0.0535714 | + | 0.0927884i | ||||
\(785\) | − | 4.00000i | − | 0.142766i | ||||||
\(786\) | 6.92820 | + | 4.00000i | 0.247121 | + | 0.142675i | ||||
\(787\) | −32.9090 | − | 19.0000i | −1.17308 | − | 0.677277i | −0.218675 | − | 0.975798i | \(-0.570173\pi\) |
−0.954403 | + | 0.298521i | \(0.903507\pi\) | |||||||
\(788\) | 22.0000i | 0.783718i | ||||||||
\(789\) | −12.0000 | + | 20.7846i | −0.427211 | + | 0.739952i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −24.2487 | + | 14.0000i | −0.862185 | + | 0.497783i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −8.00000 | −0.283909 | ||||||||
\(795\) | −10.3923 | + | 6.00000i | −0.368577 | + | 0.212798i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1.00000 | − | 1.73205i | 0.0354218 | − | 0.0613524i | −0.847771 | − | 0.530362i | \(-0.822056\pi\) |
0.883193 | + | 0.469010i | \(0.155389\pi\) | |||||||
\(798\) | − | 12.0000i | − | 0.424795i | ||||||
\(799\) | −20.7846 | − | 12.0000i | −0.735307 | − | 0.424529i | ||||
\(800\) | −0.866025 | − | 0.500000i | −0.0306186 | − | 0.0176777i | ||||
\(801\) | − | 6.00000i | − | 0.212000i | ||||||
\(802\) | −15.0000 | + | 25.9808i | −0.529668 | + | 0.917413i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 1.73205 | − | 1.00000i | 0.0610847 | − | 0.0352673i | ||||
\(805\) | 16.0000 | 0.563926 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −10.0000 | −0.352017 | ||||||||
\(808\) | −1.73205 | + | 1.00000i | −0.0609333 | + | 0.0351799i | ||||
\(809\) | 25.0000 | + | 43.3013i | 0.878953 | + | 1.52239i | 0.852491 | + | 0.522742i | \(0.175091\pi\) |
0.0264621 | + | 0.999650i | \(0.491576\pi\) | |||||||
\(810\) | 1.00000 | − | 1.73205i | 0.0351364 | − | 0.0608581i | ||||
\(811\) | 10.0000i | 0.351147i | 0.984466 | + | 0.175574i | \(0.0561780\pi\) | ||||
−0.984466 | + | 0.175574i | \(0.943822\pi\) | |||||||
\(812\) | 17.3205 | + | 10.0000i | 0.607831 | + | 0.350931i | ||||
\(813\) | 8.66025 | + | 5.00000i | 0.303728 | + | 0.175358i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −14.0000 | + | 24.2487i | −0.490399 | + | 0.849395i | ||||
\(816\) | 1.00000 | + | 1.73205i | 0.0350070 | + | 0.0606339i | ||||
\(817\) | −20.7846 | + | 12.0000i | −0.727161 | + | 0.419827i | ||||
\(818\) | −4.00000 | −0.139857 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 20.0000 | 0.698430 | ||||||||
\(821\) | 25.9808 | − | 15.0000i | 0.906735 | − | 0.523504i | 0.0273557 | − | 0.999626i | \(-0.491291\pi\) |
0.879379 | + | 0.476122i | \(0.157958\pi\) | |||||||
\(822\) | −1.00000 | − | 1.73205i | −0.0348790 | − | 0.0604122i | ||||
\(823\) | −12.0000 | + | 20.7846i | −0.418294 | + | 0.724506i | −0.995768 | − | 0.0919029i | \(-0.970705\pi\) |
0.577474 | + | 0.816409i | \(0.304038\pi\) | |||||||
\(824\) | 16.0000i | 0.557386i | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −6.92820 | − | 4.00000i | −0.241063 | − | 0.139178i | ||||
\(827\) | 48.0000i | 1.66912i | 0.550914 | + | 0.834562i | \(0.314279\pi\) | ||||
−0.550914 | + | 0.834562i | \(0.685721\pi\) | |||||||
\(828\) | 2.00000 | − | 3.46410i | 0.0695048 | − | 0.120386i | ||||
\(829\) | 15.0000 | + | 25.9808i | 0.520972 | + | 0.902349i | 0.999703 | + | 0.0243876i | \(0.00776357\pi\) |
−0.478731 | + | 0.877962i | \(0.658903\pi\) | |||||||
\(830\) | 6.92820 | − | 4.00000i | 0.240481 | − | 0.138842i | ||||
\(831\) | −2.00000 | −0.0693792 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −6.00000 | −0.207888 | ||||||||
\(834\) | −17.3205 | + | 10.0000i | −0.599760 | + | 0.346272i | ||||
\(835\) | −12.0000 | − | 20.7846i | −0.415277 | − | 0.719281i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 10.0000i | 0.345651i | ||||||||
\(838\) | −34.6410 | − | 20.0000i | −1.19665 | − | 0.690889i | ||||
\(839\) | 13.8564 | + | 8.00000i | 0.478376 | + | 0.276191i | 0.719740 | − | 0.694244i | \(-0.244261\pi\) |
−0.241363 | + | 0.970435i | \(0.577595\pi\) | |||||||
\(840\) | − | 4.00000i | − | 0.138013i | ||||||
\(841\) | −35.5000 | + | 61.4878i | −1.22414 | + | 2.12027i | ||||
\(842\) | 10.0000 | + | 17.3205i | 0.344623 | + | 0.596904i | ||||
\(843\) | −8.66025 | + | 5.00000i | −0.298275 | + | 0.172209i | ||||
\(844\) | −12.0000 | −0.413057 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 12.0000 | 0.412568 | ||||||||
\(847\) | −19.0526 | + | 11.0000i | −0.654654 | + | 0.377964i | ||||
\(848\) | 3.00000 | + | 5.19615i | 0.103020 | + | 0.178437i | ||||
\(849\) | −2.00000 | + | 3.46410i | −0.0686398 | + | 0.118888i | ||||
\(850\) | − | 2.00000i | − | 0.0685994i | ||||||
\(851\) | −27.7128 | − | 16.0000i | −0.949983 | − | 0.548473i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 56.0000i | 1.91740i | 0.284413 | + | 0.958702i | \(0.408201\pi\) | ||||
−0.284413 | + | 0.958702i | \(0.591799\pi\) | |||||||
\(854\) | −2.00000 | + | 3.46410i | −0.0684386 | + | 0.118539i | ||||
\(855\) | −6.00000 | − | 10.3923i | −0.205196 | − | 0.355409i | ||||
\(856\) | −6.92820 | + | 4.00000i | −0.236801 | + | 0.136717i | ||||
\(857\) | −22.0000 | −0.751506 | −0.375753 | − | 0.926720i | \(-0.622616\pi\) | ||||
−0.375753 | + | 0.926720i | \(0.622616\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −20.0000 | −0.682391 | −0.341196 | − | 0.939992i | \(-0.610832\pi\) | ||||
−0.341196 | + | 0.939992i | \(0.610832\pi\) | |||||||
\(860\) | −6.92820 | + | 4.00000i | −0.236250 | + | 0.136399i | ||||
\(861\) | −10.0000 | − | 17.3205i | −0.340799 | − | 0.590281i | ||||
\(862\) | −10.0000 | + | 17.3205i | −0.340601 | + | 0.589939i | ||||
\(863\) | − | 44.0000i | − | 1.49778i | −0.662696 | − | 0.748889i | \(-0.730588\pi\) | ||
0.662696 | − | 0.748889i | \(-0.269412\pi\) | |||||||
\(864\) | −0.866025 | − | 0.500000i | −0.0294628 | − | 0.0170103i | ||||
\(865\) | 10.3923 | + | 6.00000i | 0.353349 | + | 0.204006i | ||||
\(866\) | − | 26.0000i | − | 0.883516i | ||||||
\(867\) | 6.50000 | − | 11.2583i | 0.220752 | − | 0.382353i | ||||
\(868\) | 10.0000 | + | 17.3205i | 0.339422 | + | 0.587896i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 20.0000 | 0.678064 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 4.00000 | 0.135457 | ||||||||
\(873\) | −10.3923 | + | 6.00000i | −0.351726 | + | 0.203069i | ||||
\(874\) | −12.0000 | − | 20.7846i | −0.405906 | − | 0.703050i | ||||
\(875\) | −12.0000 | + | 20.7846i | −0.405674 | + | 0.702648i | ||||
\(876\) | 4.00000i | 0.135147i | ||||||||
\(877\) | −6.92820 | − | 4.00000i | −0.233949 | − | 0.135070i | 0.378444 | − | 0.925624i | \(-0.376459\pi\) |
−0.612392 | + | 0.790554i | \(0.709793\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 14.0000i | − | 0.472208i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −21.0000 | − | 36.3731i | −0.707508 | − | 1.22544i | −0.965779 | − | 0.259367i | \(-0.916486\pi\) |
0.258271 | − | 0.966073i | \(-0.416847\pi\) | |||||||
\(882\) | 2.59808 | − | 1.50000i | 0.0874818 | − | 0.0505076i | ||||
\(883\) | −36.0000 | −1.21150 | −0.605748 | − | 0.795656i | \(-0.707126\pi\) | ||||
−0.605748 | + | 0.795656i | \(0.707126\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −8.00000 | −0.268917 | ||||||||
\(886\) | −13.8564 | + | 8.00000i | −0.465515 | + | 0.268765i | ||||
\(887\) | 6.00000 | + | 10.3923i | 0.201460 | + | 0.348939i | 0.948999 | − | 0.315279i | \(-0.102098\pi\) |
−0.747539 | + | 0.664218i | \(0.768765\pi\) | |||||||
\(888\) | −4.00000 | + | 6.92820i | −0.134231 | + | 0.232495i | ||||
\(889\) | − | 16.0000i | − | 0.536623i | ||||||
\(890\) | −10.3923 | − | 6.00000i | −0.348351 | − | 0.201120i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 14.0000i | 0.468755i | ||||||||
\(893\) | 36.0000 | − | 62.3538i | 1.20469 | − | 2.08659i | ||||
\(894\) | 7.00000 | + | 12.1244i | 0.234115 | + | 0.405499i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −2.00000 | −0.0668153 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.00000 | 0.200223 | ||||||||
\(899\) | −86.6025 | + | 50.0000i | −2.88836 | + | 1.66759i | ||||
\(900\) | 0.500000 | + | 0.866025i | 0.0166667 | + | 0.0288675i | ||||
\(901\) | −6.00000 | + | 10.3923i | −0.199889 | + | 0.346218i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 6.92820 | + | 4.00000i | 0.230556 | + | 0.133112i | ||||
\(904\) | 12.1244 | + | 7.00000i | 0.403250 | + | 0.232817i | ||||
\(905\) | 44.0000i | 1.46261i | ||||||||
\(906\) | 5.00000 | − | 8.66025i | 0.166114 | − | 0.287718i | ||||
\(907\) | −14.0000 | − | 24.2487i | −0.464862 | − | 0.805165i | 0.534333 | − | 0.845274i | \(-0.320563\pi\) |
−0.999195 | + | 0.0401089i | \(0.987230\pi\) | |||||||
\(908\) | −6.92820 | + | 4.00000i | −0.229920 | + | 0.132745i | ||||
\(909\) | 2.00000 | 0.0663358 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 12.0000 | 0.397578 | 0.198789 | − | 0.980042i | \(-0.436299\pi\) | ||||
0.198789 | + | 0.980042i | \(0.436299\pi\) | |||||||
\(912\) | −5.19615 | + | 3.00000i | −0.172062 | + | 0.0993399i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 14.0000 | − | 24.2487i | 0.463079 | − | 0.802076i | ||||
\(915\) | 4.00000i | 0.132236i | ||||||||
\(916\) | 3.46410 | + | 2.00000i | 0.114457 | + | 0.0660819i | ||||
\(917\) | −13.8564 | − | 8.00000i | −0.457579 | − | 0.264183i | ||||
\(918\) | − | 2.00000i | − | 0.0660098i | ||||||
\(919\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(920\) | −4.00000 | − | 6.92820i | −0.131876 | − | 0.228416i | ||||
\(921\) | −1.73205 | + | 1.00000i | −0.0570730 | + | 0.0329511i | ||||
\(922\) | 30.0000 | 0.987997 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.92820 | − | 4.00000i | 0.227798 | − | 0.131519i | ||||
\(926\) | 3.00000 | + | 5.19615i | 0.0985861 | + | 0.170756i | ||||
\(927\) | 8.00000 | − | 13.8564i | 0.262754 | − | 0.455104i | ||||
\(928\) | − | 10.0000i | − | 0.328266i | ||||||
\(929\) | 5.19615 | + | 3.00000i | 0.170480 | + | 0.0984268i | 0.582812 | − | 0.812607i | \(-0.301952\pi\) |
−0.412332 | + | 0.911034i | \(0.635286\pi\) | |||||||
\(930\) | 17.3205 | + | 10.0000i | 0.567962 | + | 0.327913i | ||||
\(931\) | − | 18.0000i | − | 0.589926i | ||||||
\(932\) | −3.00000 | + | 5.19615i | −0.0982683 | + | 0.170206i | ||||
\(933\) | 14.0000 | + | 24.2487i | 0.458339 | + | 0.793867i | ||||
\(934\) | −10.3923 | + | 6.00000i | −0.340047 | + | 0.196326i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.00000 | −0.0653372 | −0.0326686 | − | 0.999466i | \(-0.510401\pi\) | ||||
−0.0326686 | + | 0.999466i | \(0.510401\pi\) | |||||||
\(938\) | −3.46410 | + | 2.00000i | −0.113107 | + | 0.0653023i | ||||
\(939\) | 13.0000 | + | 22.5167i | 0.424239 | + | 0.734803i | ||||
\(940\) | 12.0000 | − | 20.7846i | 0.391397 | − | 0.677919i | ||||
\(941\) | − | 10.0000i | − | 0.325991i | −0.986627 | − | 0.162995i | \(-0.947884\pi\) | ||
0.986627 | − | 0.162995i | \(-0.0521156\pi\) | |||||||
\(942\) | 1.73205 | + | 1.00000i | 0.0564333 | + | 0.0325818i | ||||
\(943\) | −34.6410 | − | 20.0000i | −1.12807 | − | 0.651290i | ||||
\(944\) | 4.00000i | 0.130189i | ||||||||
\(945\) | −2.00000 | + | 3.46410i | −0.0650600 | + | 0.112687i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −45.0333 | + | 26.0000i | −1.46339 | + | 0.844886i | −0.999166 | − | 0.0408333i | \(-0.986999\pi\) |
−0.464220 | + | 0.885720i | \(0.653665\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 6.00000 | 0.194666 | ||||||||
\(951\) | 15.5885 | − | 9.00000i | 0.505490 | − | 0.291845i | ||||
\(952\) | −2.00000 | − | 3.46410i | −0.0648204 | − | 0.112272i | ||||
\(953\) | 3.00000 | − | 5.19615i | 0.0971795 | − | 0.168320i | −0.813337 | − | 0.581793i | \(-0.802351\pi\) |
0.910516 | + | 0.413473i | \(0.135685\pi\) | |||||||
\(954\) | − | 6.00000i | − | 0.194257i | ||||||
\(955\) | −20.7846 | − | 12.0000i | −0.672574 | − | 0.388311i | ||||
\(956\) | −13.8564 | − | 8.00000i | −0.448148 | − | 0.258738i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 12.0000 | − | 20.7846i | 0.387702 | − | 0.671520i | ||||
\(959\) | 2.00000 | + | 3.46410i | 0.0645834 | + | 0.111862i | ||||
\(960\) | −1.73205 | + | 1.00000i | −0.0559017 | + | 0.0322749i | ||||
\(961\) | −69.0000 | −2.22581 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 8.00000 | 0.257796 | ||||||||
\(964\) | −17.3205 | + | 10.0000i | −0.557856 | + | 0.322078i | ||||
\(965\) | 16.0000 | + | 27.7128i | 0.515058 | + | 0.892107i | ||||
\(966\) | −4.00000 | + | 6.92820i | −0.128698 | + | 0.222911i | ||||
\(967\) | − | 22.0000i | − | 0.707472i | −0.935345 | − | 0.353736i | \(-0.884911\pi\) | ||
0.935345 | − | 0.353736i | \(-0.115089\pi\) | |||||||
\(968\) | 9.52628 | + | 5.50000i | 0.306186 | + | 0.176777i | ||||
\(969\) | −10.3923 | − | 6.00000i | −0.333849 | − | 0.192748i | ||||
\(970\) | 24.0000i | 0.770594i | ||||||||
\(971\) | −6.00000 | + | 10.3923i | −0.192549 | + | 0.333505i | −0.946094 | − | 0.323891i | \(-0.895009\pi\) |
0.753545 | + | 0.657396i | \(0.228342\pi\) | |||||||
\(972\) | 0.500000 | + | 0.866025i | 0.0160375 | + | 0.0277778i | ||||
\(973\) | 34.6410 | − | 20.0000i | 1.11054 | − | 0.641171i | ||||
\(974\) | −18.0000 | −0.576757 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.00000 | 0.0640184 | ||||||||
\(977\) | −36.3731 | + | 21.0000i | −1.16368 | + | 0.671850i | −0.952183 | − | 0.305530i | \(-0.901167\pi\) |
−0.211495 | + | 0.977379i | \(0.567833\pi\) | |||||||
\(978\) | −7.00000 | − | 12.1244i | −0.223835 | − | 0.387694i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | − | 6.00000i | − | 0.191663i | ||||||
\(981\) | −3.46410 | − | 2.00000i | −0.110600 | − | 0.0638551i | ||||
\(982\) | 24.2487 | + | 14.0000i | 0.773807 | + | 0.446758i | ||||
\(983\) | − | 24.0000i | − | 0.765481i | −0.923856 | − | 0.382741i | \(-0.874980\pi\) | ||
0.923856 | − | 0.382741i | \(-0.125020\pi\) | |||||||
\(984\) | −5.00000 | + | 8.66025i | −0.159394 | + | 0.276079i | ||||
\(985\) | −22.0000 | − | 38.1051i | −0.700978 | − | 1.21413i | ||||
\(986\) | 17.3205 | − | 10.0000i | 0.551597 | − | 0.318465i | ||||
\(987\) | −24.0000 | −0.763928 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 16.0000 | 0.508770 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.00000 | + | 6.92820i | 0.127064 | + | 0.220082i | 0.922538 | − | 0.385906i | \(-0.126111\pi\) |
−0.795474 | + | 0.605988i | \(0.792778\pi\) | |||||||
\(992\) | 5.00000 | − | 8.66025i | 0.158750 | − | 0.274963i | ||||
\(993\) | − | 10.0000i | − | 0.317340i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 4.00000i | 0.126745i | ||||||||
\(997\) | 21.0000 | − | 36.3731i | 0.665077 | − | 1.15195i | −0.314188 | − | 0.949361i | \(-0.601732\pi\) |
0.979265 | − | 0.202586i | \(-0.0649345\pi\) | |||||||
\(998\) | 7.00000 | + | 12.1244i | 0.221581 | + | 0.383790i | ||||
\(999\) | 6.92820 | − | 4.00000i | 0.219199 | − | 0.126554i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))