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.b.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 | \(-0.352416\pi\) | ||||
0.447214 | + | 0.894427i | \(0.352416\pi\) | |||||||
\(6\) | −0.500000 | + | 0.866025i | −0.204124 | + | 0.353553i | ||||
\(7\) | −1.00000 | + | 1.73205i | −0.377964 | + | 0.654654i | −0.990766 | − | 0.135583i | \(-0.956709\pi\) |
0.612801 | + | 0.790237i | \(0.290043\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | −1.00000 | − | 1.73205i | −0.316228 | − | 0.547723i | ||||
\(11\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 2.00000 | 0.534522 | ||||||||
\(15\) | −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 | ||||||||
\(19\) | 3.00000 | − | 5.19615i | 0.688247 | − | 1.19208i | −0.284157 | − | 0.958778i | \(-0.591714\pi\) |
0.972404 | − | 0.233301i | \(-0.0749529\pi\) | |||||||
\(20\) | −1.00000 | + | 1.73205i | −0.223607 | + | 0.387298i | ||||
\(21\) | 2.00000 | 0.436436 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.00000 | + | 3.46410i | 0.417029 | + | 0.722315i | 0.995639 | − | 0.0932891i | \(-0.0297381\pi\) |
−0.578610 | + | 0.815604i | \(0.696405\pi\) | |||||||
\(24\) | −0.500000 | − | 0.866025i | −0.102062 | − | 0.176777i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | −1.00000 | − | 1.73205i | −0.188982 | − | 0.327327i | ||||
\(29\) | 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 | ||||
\(31\) | 10.0000 | 1.79605 | 0.898027 | − | 0.439941i | \(-0.145001\pi\) | ||||
0.898027 | + | 0.439941i | \(0.145001\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.00000 | 0.342997 | ||||||||
\(35\) | −2.00000 | + | 3.46410i | −0.338062 | + | 0.585540i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | 4.00000 | + | 6.92820i | 0.657596 | + | 1.13899i | 0.981236 | + | 0.192809i | \(0.0617599\pi\) |
−0.323640 | + | 0.946180i | \(0.604907\pi\) | |||||||
\(38\) | −6.00000 | −0.973329 | ||||||||
\(39\) | 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 | \(-0.451890\pi\) | |||||||
\(42\) | −1.00000 | − | 1.73205i | −0.154303 | − | 0.267261i | ||||
\(43\) | 2.00000 | − | 3.46410i | 0.304997 | − | 0.528271i | −0.672264 | − | 0.740312i | \(-0.734678\pi\) |
0.977261 | + | 0.212041i | \(0.0680112\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.00000 | + | 1.73205i | −0.149071 | + | 0.258199i | ||||
\(46\) | 2.00000 | − | 3.46410i | 0.294884 | − | 0.510754i | ||||
\(47\) | 12.0000 | 1.75038 | 0.875190 | − | 0.483779i | \(-0.160736\pi\) | ||||
0.875190 | + | 0.483779i | \(0.160736\pi\) | |||||||
\(48\) | −0.500000 | + | 0.866025i | −0.0721688 | + | 0.125000i | ||||
\(49\) | 1.50000 | + | 2.59808i | 0.214286 | + | 0.371154i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | 2.00000 | 0.280056 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −6.00000 | −0.824163 | −0.412082 | − | 0.911147i | \(-0.635198\pi\) | ||||
−0.412082 | + | 0.911147i | \(0.635198\pi\) | |||||||
\(54\) | −0.500000 | − | 0.866025i | −0.0680414 | − | 0.117851i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.00000 | + | 1.73205i | −0.133631 | + | 0.231455i | ||||
\(57\) | −6.00000 | −0.794719 | ||||||||
\(58\) | 5.00000 | − | 8.66025i | 0.656532 | − | 1.13715i | ||||
\(59\) | 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 | −0.922916 | − | 0.385002i | \(-0.874201\pi\) |
0.794879 | + | 0.606768i | \(0.207534\pi\) | |||||||
\(62\) | −5.00000 | − | 8.66025i | −0.635001 | − | 1.09985i | ||||
\(63\) | −1.00000 | − | 1.73205i | −0.125988 | − | 0.218218i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.00000 | + | 1.73205i | 0.122169 | + | 0.211604i | 0.920623 | − | 0.390453i | \(-0.127682\pi\) |
−0.798454 | + | 0.602056i | \(0.794348\pi\) | |||||||
\(68\) | −1.00000 | − | 1.73205i | −0.121268 | − | 0.210042i | ||||
\(69\) | 2.00000 | − | 3.46410i | 0.240772 | − | 0.417029i | ||||
\(70\) | 4.00000 | 0.478091 | ||||||||
\(71\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(72\) | −0.500000 | + | 0.866025i | −0.0589256 | + | 0.102062i | ||||
\(73\) | 4.00000 | 0.468165 | 0.234082 | − | 0.972217i | \(-0.424791\pi\) | ||||
0.234082 | + | 0.972217i | \(0.424791\pi\) | |||||||
\(74\) | 4.00000 | − | 6.92820i | 0.464991 | − | 0.805387i | ||||
\(75\) | 0.500000 | + | 0.866025i | 0.0577350 | + | 0.100000i | ||||
\(76\) | 3.00000 | + | 5.19615i | 0.344124 | + | 0.596040i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(80\) | −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 | ||||
\(83\) | −4.00000 | −0.439057 | −0.219529 | − | 0.975606i | \(-0.570452\pi\) | ||||
−0.219529 | + | 0.975606i | \(0.570452\pi\) | |||||||
\(84\) | −1.00000 | + | 1.73205i | −0.109109 | + | 0.188982i | ||||
\(85\) | −2.00000 | + | 3.46410i | −0.216930 | + | 0.375735i | ||||
\(86\) | −4.00000 | −0.431331 | ||||||||
\(87\) | 5.00000 | − | 8.66025i | 0.536056 | − | 0.928477i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.00000 | − | 5.19615i | −0.317999 | − | 0.550791i | 0.662071 | − | 0.749441i | \(-0.269678\pi\) |
−0.980071 | + | 0.198650i | \(0.936344\pi\) | |||||||
\(90\) | 2.00000 | 0.210819 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −4.00000 | −0.417029 | ||||||||
\(93\) | −5.00000 | − | 8.66025i | −0.518476 | − | 0.898027i | ||||
\(94\) | −6.00000 | − | 10.3923i | −0.618853 | − | 1.07188i | ||||
\(95\) | 6.00000 | − | 10.3923i | 0.615587 | − | 1.06623i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | 6.00000 | − | 10.3923i | 0.609208 | − | 1.05518i | −0.382164 | − | 0.924095i | \(-0.624821\pi\) |
0.991371 | − | 0.131084i | \(-0.0418458\pi\) | |||||||
\(98\) | 1.50000 | − | 2.59808i | 0.151523 | − | 0.262445i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 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 | ||||||||
\(105\) | 4.00000 | 0.390360 | ||||||||
\(106\) | 3.00000 | + | 5.19615i | 0.291386 | + | 0.504695i | ||||
\(107\) | −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 | ||||
\(109\) | 4.00000 | 0.383131 | 0.191565 | − | 0.981480i | \(-0.438644\pi\) | ||||
0.191565 | + | 0.981480i | \(0.438644\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.00000 | − | 6.92820i | 0.379663 | − | 0.657596i | ||||
\(112\) | 2.00000 | 0.188982 | ||||||||
\(113\) | −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 | ||||
\(115\) | 4.00000 | + | 6.92820i | 0.373002 | + | 0.646058i | ||||
\(116\) | −10.0000 | −0.928477 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.00000 | −0.368230 | ||||||||
\(119\) | −2.00000 | − | 3.46410i | −0.183340 | − | 0.317554i | ||||
\(120\) | −1.00000 | − | 1.73205i | −0.0912871 | − | 0.158114i | ||||
\(121\) | 5.50000 | − | 9.52628i | 0.500000 | − | 0.866025i | ||||
\(122\) | 2.00000 | 0.181071 | ||||||||
\(123\) | −5.00000 | + | 8.66025i | −0.450835 | + | 0.780869i | ||||
\(124\) | −5.00000 | + | 8.66025i | −0.449013 | + | 0.777714i | ||||
\(125\) | −12.0000 | −1.07331 | ||||||||
\(126\) | −1.00000 | + | 1.73205i | −0.0890871 | + | 0.154303i | ||||
\(127\) | 4.00000 | + | 6.92820i | 0.354943 | + | 0.614779i | 0.987108 | − | 0.160055i | \(-0.0511671\pi\) |
−0.632166 | + | 0.774833i | \(0.717834\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −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 | ||||
\(135\) | 2.00000 | 0.172133 | ||||||||
\(136\) | −1.00000 | + | 1.73205i | −0.0857493 | + | 0.148522i | ||||
\(137\) | −1.00000 | + | 1.73205i | −0.0854358 | + | 0.147979i | −0.905577 | − | 0.424182i | \(-0.860562\pi\) |
0.820141 | + | 0.572161i | \(0.193895\pi\) | |||||||
\(138\) | −4.00000 | −0.340503 | ||||||||
\(139\) | 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 | ||||
\(141\) | −6.00000 | − | 10.3923i | −0.505291 | − | 0.875190i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | 10.0000 | + | 17.3205i | 0.830455 | + | 1.43839i | ||||
\(146\) | −2.00000 | − | 3.46410i | −0.165521 | − | 0.286691i | ||||
\(147\) | 1.50000 | − | 2.59808i | 0.123718 | − | 0.214286i | ||||
\(148\) | −8.00000 | −0.657596 | ||||||||
\(149\) | −7.00000 | + | 12.1244i | −0.573462 | + | 0.993266i | 0.422744 | + | 0.906249i | \(0.361067\pi\) |
−0.996207 | + | 0.0870170i | \(0.972267\pi\) | |||||||
\(150\) | 0.500000 | − | 0.866025i | 0.0408248 | − | 0.0707107i | ||||
\(151\) | −10.0000 | −0.813788 | −0.406894 | − | 0.913475i | \(-0.633388\pi\) | ||||
−0.406894 | + | 0.913475i | \(0.633388\pi\) | |||||||
\(152\) | 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 | ||||
\(161\) | −8.00000 | −0.630488 | ||||||||
\(162\) | −0.500000 | + | 0.866025i | −0.0392837 | + | 0.0680414i | ||||
\(163\) | −7.00000 | + | 12.1244i | −0.548282 | + | 0.949653i | 0.450110 | + | 0.892973i | \(0.351385\pi\) |
−0.998392 | + | 0.0566798i | \(0.981949\pi\) | |||||||
\(164\) | 10.0000 | 0.780869 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.00000 | + | 3.46410i | 0.155230 | + | 0.268866i | ||||
\(167\) | −6.00000 | − | 10.3923i | −0.464294 | − | 0.804181i | 0.534875 | − | 0.844931i | \(-0.320359\pi\) |
−0.999169 | + | 0.0407502i | \(0.987025\pi\) | |||||||
\(168\) | 2.00000 | 0.154303 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 4.00000 | 0.306786 | ||||||||
\(171\) | 3.00000 | + | 5.19615i | 0.229416 | + | 0.397360i | ||||
\(172\) | 2.00000 | + | 3.46410i | 0.152499 | + | 0.264135i | ||||
\(173\) | −3.00000 | + | 5.19615i | −0.228086 | + | 0.395056i | −0.957241 | − | 0.289292i | \(-0.906580\pi\) |
0.729155 | + | 0.684349i | \(0.239913\pi\) | |||||||
\(174\) | −10.0000 | −0.758098 | ||||||||
\(175\) | 1.00000 | − | 1.73205i | 0.0755929 | − | 0.130931i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.00000 | −0.300658 | ||||||||
\(178\) | −3.00000 | + | 5.19615i | −0.224860 | + | 0.389468i | ||||
\(179\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(180\) | −1.00000 | − | 1.73205i | −0.0745356 | − | 0.129099i | ||||
\(181\) | −22.0000 | −1.63525 | −0.817624 | − | 0.575753i | \(-0.804709\pi\) | ||||
−0.817624 | + | 0.575753i | \(0.804709\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.00000 | 0.147844 | ||||||||
\(184\) | 2.00000 | + | 3.46410i | 0.147442 | + | 0.255377i | ||||
\(185\) | 8.00000 | + | 13.8564i | 0.588172 | + | 1.01874i | ||||
\(186\) | −5.00000 | + | 8.66025i | −0.366618 | + | 0.635001i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −6.00000 | + | 10.3923i | −0.437595 | + | 0.757937i | ||||
\(189\) | −1.00000 | + | 1.73205i | −0.0727393 | + | 0.125988i | ||||
\(190\) | −12.0000 | −0.870572 | ||||||||
\(191\) | −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 | ||||
\(193\) | 8.00000 | + | 13.8564i | 0.575853 | + | 0.997406i | 0.995948 | + | 0.0899262i | \(0.0286631\pi\) |
−0.420096 | + | 0.907480i | \(0.638004\pi\) | |||||||
\(194\) | −12.0000 | −0.861550 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.00000 | −0.214286 | ||||||||
\(197\) | 11.0000 | + | 19.0526i | 0.783718 | + | 1.35744i | 0.929762 | + | 0.368161i | \(0.120012\pi\) |
−0.146045 | + | 0.989278i | \(0.546654\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(200\) | −1.00000 | −0.0707107 | ||||||||
\(201\) | 1.00000 | − | 1.73205i | 0.0705346 | − | 0.122169i | ||||
\(202\) | 1.00000 | − | 1.73205i | 0.0703598 | − | 0.121867i | ||||
\(203\) | −20.0000 | −1.40372 | ||||||||
\(204\) | −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 | ||||
\(207\) | −4.00000 | −0.278019 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −2.00000 | − | 3.46410i | −0.138013 | − | 0.239046i | ||||
\(211\) | −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 | ||||||||
\(214\) | −4.00000 | + | 6.92820i | −0.273434 | + | 0.473602i | ||||
\(215\) | 4.00000 | − | 6.92820i | 0.272798 | − | 0.472500i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | −10.0000 | + | 17.3205i | −0.678844 | + | 1.17579i | ||||
\(218\) | −2.00000 | − | 3.46410i | −0.135457 | − | 0.234619i | ||||
\(219\) | −2.00000 | − | 3.46410i | −0.135147 | − | 0.234082i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −8.00000 | −0.536925 | ||||||||
\(223\) | 7.00000 | + | 12.1244i | 0.468755 | + | 0.811907i | 0.999362 | − | 0.0357107i | \(-0.0113695\pi\) |
−0.530607 | + | 0.847618i | \(0.678036\pi\) | |||||||
\(224\) | −1.00000 | − | 1.73205i | −0.0668153 | − | 0.115728i | ||||
\(225\) | 0.500000 | − | 0.866025i | 0.0333333 | − | 0.0577350i | ||||
\(226\) | 14.0000 | 0.931266 | ||||||||
\(227\) | −4.00000 | + | 6.92820i | −0.265489 | + | 0.459841i | −0.967692 | − | 0.252136i | \(-0.918867\pi\) |
0.702202 | + | 0.711977i | \(0.252200\pi\) | |||||||
\(228\) | 3.00000 | − | 5.19615i | 0.198680 | − | 0.344124i | ||||
\(229\) | −4.00000 | −0.264327 | −0.132164 | − | 0.991228i | \(-0.542192\pi\) | ||||
−0.132164 | + | 0.991228i | \(0.542192\pi\) | |||||||
\(230\) | 4.00000 | − | 6.92820i | 0.263752 | − | 0.456832i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 5.00000 | + | 8.66025i | 0.328266 | + | 0.568574i | ||||
\(233\) | 6.00000 | 0.393073 | 0.196537 | − | 0.980497i | \(-0.437031\pi\) | ||||
0.196537 | + | 0.980497i | \(0.437031\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 24.0000 | 1.56559 | ||||||||
\(236\) | 2.00000 | + | 3.46410i | 0.130189 | + | 0.225494i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.00000 | + | 3.46410i | −0.129641 | + | 0.224544i | ||||
\(239\) | −16.0000 | −1.03495 | −0.517477 | − | 0.855697i | \(-0.673129\pi\) | ||||
−0.517477 | + | 0.855697i | \(0.673129\pi\) | |||||||
\(240\) | −1.00000 | + | 1.73205i | −0.0645497 | + | 0.111803i | ||||
\(241\) | 10.0000 | − | 17.3205i | 0.644157 | − | 1.11571i | −0.340339 | − | 0.940303i | \(-0.610542\pi\) |
0.984496 | − | 0.175409i | \(-0.0561248\pi\) | |||||||
\(242\) | −11.0000 | −0.707107 | ||||||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −1.00000 | − | 1.73205i | −0.0640184 | − | 0.110883i | ||||
\(245\) | 3.00000 | + | 5.19615i | 0.191663 | + | 0.331970i | ||||
\(246\) | 10.0000 | 0.637577 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 10.0000 | 0.635001 | ||||||||
\(249\) | 2.00000 | + | 3.46410i | 0.126745 | + | 0.219529i | ||||
\(250\) | 6.00000 | + | 10.3923i | 0.379473 | + | 0.657267i | ||||
\(251\) | −14.0000 | + | 24.2487i | −0.883672 | + | 1.53057i | −0.0364441 | + | 0.999336i | \(0.511603\pi\) |
−0.847228 | + | 0.531229i | \(0.821730\pi\) | |||||||
\(252\) | 2.00000 | 0.125988 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 4.00000 | − | 6.92820i | 0.250982 | − | 0.434714i | ||||
\(255\) | 4.00000 | 0.250490 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 9.00000 | + | 15.5885i | 0.561405 | + | 0.972381i | 0.997374 | + | 0.0724199i | \(0.0230722\pi\) |
−0.435970 | + | 0.899961i | \(0.643595\pi\) | |||||||
\(258\) | 2.00000 | + | 3.46410i | 0.124515 | + | 0.215666i | ||||
\(259\) | −16.0000 | −0.994192 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −10.0000 | −0.618984 | ||||||||
\(262\) | 4.00000 | + | 6.92820i | 0.247121 | + | 0.428026i | ||||
\(263\) | −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 | ||||||||
\(265\) | −12.0000 | −0.737154 | ||||||||
\(266\) | 6.00000 | − | 10.3923i | 0.367884 | − | 0.637193i | ||||
\(267\) | −3.00000 | + | 5.19615i | −0.183597 | + | 0.317999i | ||||
\(268\) | −2.00000 | −0.122169 | ||||||||
\(269\) | 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 | ||||
\(271\) | −5.00000 | − | 8.66025i | −0.303728 | − | 0.526073i | 0.673249 | − | 0.739416i | \(-0.264898\pi\) |
−0.976977 | + | 0.213343i | \(0.931565\pi\) | |||||||
\(272\) | 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 | −0.894503 | − | 0.447062i | \(-0.852470\pi\) |
0.834419 | + | 0.551131i | \(0.185804\pi\) | |||||||
\(278\) | −20.0000 | −1.19952 | ||||||||
\(279\) | −5.00000 | + | 8.66025i | −0.299342 | + | 0.518476i | ||||
\(280\) | −2.00000 | + | 3.46410i | −0.119523 | + | 0.207020i | ||||
\(281\) | 10.0000 | 0.596550 | 0.298275 | − | 0.954480i | \(-0.403589\pi\) | ||||
0.298275 | + | 0.954480i | \(0.403589\pi\) | |||||||
\(282\) | −6.00000 | + | 10.3923i | −0.357295 | + | 0.618853i | ||||
\(283\) | 2.00000 | + | 3.46410i | 0.118888 | + | 0.205919i | 0.919327 | − | 0.393494i | \(-0.128734\pi\) |
−0.800439 | + | 0.599414i | \(0.795400\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −12.0000 | −0.710819 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 20.0000 | 1.18056 | ||||||||
\(288\) | −0.500000 | − | 0.866025i | −0.0294628 | − | 0.0510310i | ||||
\(289\) | 6.50000 | + | 11.2583i | 0.382353 | + | 0.662255i | ||||
\(290\) | 10.0000 | − | 17.3205i | 0.587220 | − | 1.01710i | ||||
\(291\) | −12.0000 | −0.703452 | ||||||||
\(292\) | −2.00000 | + | 3.46410i | −0.117041 | + | 0.202721i | ||||
\(293\) | −7.00000 | + | 12.1244i | −0.408944 | + | 0.708312i | −0.994772 | − | 0.102123i | \(-0.967436\pi\) |
0.585827 | + | 0.810436i | \(0.300770\pi\) | |||||||
\(294\) | −3.00000 | −0.174964 | ||||||||
\(295\) | 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 | ||||||||
\(301\) | 4.00000 | + | 6.92820i | 0.230556 | + | 0.399335i | ||||
\(302\) | 5.00000 | + | 8.66025i | 0.287718 | + | 0.498342i | ||||
\(303\) | 1.00000 | − | 1.73205i | 0.0574485 | − | 0.0995037i | ||||
\(304\) | −6.00000 | −0.344124 | ||||||||
\(305\) | −2.00000 | + | 3.46410i | −0.114520 | + | 0.198354i | ||||
\(306\) | −1.00000 | + | 1.73205i | −0.0571662 | + | 0.0990148i | ||||
\(307\) | 2.00000 | 0.114146 | 0.0570730 | − | 0.998370i | \(-0.481823\pi\) | ||||
0.0570730 | + | 0.998370i | \(0.481823\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −8.00000 | − | 13.8564i | −0.455104 | − | 0.788263i | ||||
\(310\) | −10.0000 | − | 17.3205i | −0.567962 | − | 0.983739i | ||||
\(311\) | 28.0000 | 1.58773 | 0.793867 | − | 0.608091i | \(-0.208065\pi\) | ||||
0.793867 | + | 0.608091i | \(0.208065\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −26.0000 | −1.46961 | −0.734803 | − | 0.678280i | \(-0.762726\pi\) | ||||
−0.734803 | + | 0.678280i | \(0.762726\pi\) | |||||||
\(314\) | 1.00000 | + | 1.73205i | 0.0564333 | + | 0.0977453i | ||||
\(315\) | −2.00000 | − | 3.46410i | −0.112687 | − | 0.195180i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 18.0000 | 1.01098 | 0.505490 | − | 0.862832i | \(-0.331312\pi\) | ||||
0.505490 | + | 0.862832i | \(0.331312\pi\) | |||||||
\(318\) | 3.00000 | − | 5.19615i | 0.168232 | − | 0.291386i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 2.00000 | 0.111803 | ||||||||
\(321\) | −4.00000 | + | 6.92820i | −0.223258 | + | 0.386695i | ||||
\(322\) | 4.00000 | + | 6.92820i | 0.222911 | + | 0.386094i | ||||
\(323\) | 6.00000 | + | 10.3923i | 0.333849 | + | 0.578243i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 14.0000 | 0.775388 | ||||||||
\(327\) | −2.00000 | − | 3.46410i | −0.110600 | − | 0.191565i | ||||
\(328\) | −5.00000 | − | 8.66025i | −0.276079 | − | 0.478183i | ||||
\(329\) | −12.0000 | + | 20.7846i | −0.661581 | + | 1.14589i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.00000 | − | 8.66025i | 0.274825 | − | 0.476011i | −0.695266 | − | 0.718752i | \(-0.744713\pi\) |
0.970091 | + | 0.242742i | \(0.0780468\pi\) | |||||||
\(332\) | 2.00000 | − | 3.46410i | 0.109764 | − | 0.190117i | ||||
\(333\) | −8.00000 | −0.438397 | ||||||||
\(334\) | −6.00000 | + | 10.3923i | −0.328305 | + | 0.568642i | ||||
\(335\) | 2.00000 | + | 3.46410i | 0.109272 | + | 0.189264i | ||||
\(336\) | −1.00000 | − | 1.73205i | −0.0545545 | − | 0.0944911i | ||||
\(337\) | 2.00000 | 0.108947 | 0.0544735 | − | 0.998515i | \(-0.482652\pi\) | ||||
0.0544735 | + | 0.998515i | \(0.482652\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 14.0000 | 0.760376 | ||||||||
\(340\) | −2.00000 | − | 3.46410i | −0.108465 | − | 0.187867i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 3.00000 | − | 5.19615i | 0.162221 | − | 0.280976i | ||||
\(343\) | −20.0000 | −1.07990 | ||||||||
\(344\) | 2.00000 | − | 3.46410i | 0.107833 | − | 0.186772i | ||||
\(345\) | 4.00000 | − | 6.92820i | 0.215353 | − | 0.373002i | ||||
\(346\) | 6.00000 | 0.322562 | ||||||||
\(347\) | 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 | ||||
\(349\) | −8.00000 | − | 13.8564i | −0.428230 | − | 0.741716i | 0.568486 | − | 0.822693i | \(-0.307529\pi\) |
−0.996716 | + | 0.0809766i | \(0.974196\pi\) | |||||||
\(350\) | −2.00000 | −0.106904 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −13.0000 | − | 22.5167i | −0.691920 | − | 1.19844i | −0.971208 | − | 0.238233i | \(-0.923432\pi\) |
0.279288 | − | 0.960207i | \(-0.409902\pi\) | |||||||
\(354\) | 2.00000 | + | 3.46410i | 0.106299 | + | 0.184115i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 6.00000 | 0.317999 | ||||||||
\(357\) | −2.00000 | + | 3.46410i | −0.105851 | + | 0.183340i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −4.00000 | −0.211112 | −0.105556 | − | 0.994413i | \(-0.533662\pi\) | ||||
−0.105556 | + | 0.994413i | \(0.533662\pi\) | |||||||
\(360\) | −1.00000 | + | 1.73205i | −0.0527046 | + | 0.0912871i | ||||
\(361\) | −8.50000 | − | 14.7224i | −0.447368 | − | 0.774865i | ||||
\(362\) | 11.0000 | + | 19.0526i | 0.578147 | + | 1.00138i | ||||
\(363\) | −11.0000 | −0.577350 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.00000 | 0.418739 | ||||||||
\(366\) | −1.00000 | − | 1.73205i | −0.0522708 | − | 0.0905357i | ||||
\(367\) | −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 | ||||
\(369\) | 10.0000 | 0.520579 | ||||||||
\(370\) | 8.00000 | − | 13.8564i | 0.415900 | − | 0.720360i | ||||
\(371\) | 6.00000 | − | 10.3923i | 0.311504 | − | 0.539542i | ||||
\(372\) | 10.0000 | 0.518476 | ||||||||
\(373\) | 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 | ||||||||
\(375\) | 6.00000 | + | 10.3923i | 0.309839 | + | 0.536656i | ||||
\(376\) | 12.0000 | 0.618853 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 2.00000 | 0.102869 | ||||||||
\(379\) | −17.0000 | − | 29.4449i | −0.873231 | − | 1.51248i | −0.858635 | − | 0.512588i | \(-0.828687\pi\) |
−0.0145964 | − | 0.999893i | \(-0.504646\pi\) | |||||||
\(380\) | 6.00000 | + | 10.3923i | 0.307794 | + | 0.533114i | ||||
\(381\) | 4.00000 | − | 6.92820i | 0.204926 | − | 0.354943i | ||||
\(382\) | 12.0000 | 0.613973 | ||||||||
\(383\) | 2.00000 | − | 3.46410i | 0.102195 | − | 0.177007i | −0.810394 | − | 0.585886i | \(-0.800747\pi\) |
0.912589 | + | 0.408879i | \(0.134080\pi\) | |||||||
\(384\) | −0.500000 | + | 0.866025i | −0.0255155 | + | 0.0441942i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 8.00000 | − | 13.8564i | 0.407189 | − | 0.705273i | ||||
\(387\) | 2.00000 | + | 3.46410i | 0.101666 | + | 0.176090i | ||||
\(388\) | 6.00000 | + | 10.3923i | 0.304604 | + | 0.527589i | ||||
\(389\) | −30.0000 | −1.52106 | −0.760530 | − | 0.649303i | \(-0.775061\pi\) | ||||
−0.760530 | + | 0.649303i | \(0.775061\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −8.00000 | −0.404577 | ||||||||
\(392\) | 1.50000 | + | 2.59808i | 0.0757614 | + | 0.131223i | ||||
\(393\) | 4.00000 | + | 6.92820i | 0.201773 | + | 0.349482i | ||||
\(394\) | 11.0000 | − | 19.0526i | 0.554172 | − | 0.959854i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.00000 | − | 6.92820i | 0.200754 | − | 0.347717i | −0.748017 | − | 0.663679i | \(-0.768994\pi\) |
0.948772 | + | 0.315963i | \(0.102327\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 6.00000 | − | 10.3923i | 0.300376 | − | 0.520266i | ||||
\(400\) | 0.500000 | + | 0.866025i | 0.0250000 | + | 0.0433013i | ||||
\(401\) | −15.0000 | − | 25.9808i | −0.749064 | − | 1.29742i | −0.948272 | − | 0.317460i | \(-0.897170\pi\) |
0.199207 | − | 0.979957i | \(-0.436163\pi\) | |||||||
\(402\) | −2.00000 | −0.0997509 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −2.00000 | −0.0995037 | ||||||||
\(405\) | −1.00000 | − | 1.73205i | −0.0496904 | − | 0.0860663i | ||||
\(406\) | 10.0000 | + | 17.3205i | 0.496292 | + | 0.859602i | ||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 2.00000 | 0.0990148 | ||||||||
\(409\) | −2.00000 | + | 3.46410i | −0.0988936 | + | 0.171289i | −0.911227 | − | 0.411905i | \(-0.864864\pi\) |
0.812333 | + | 0.583193i | \(0.198197\pi\) | |||||||
\(410\) | −10.0000 | + | 17.3205i | −0.493865 | + | 0.855399i | ||||
\(411\) | 2.00000 | 0.0986527 | ||||||||
\(412\) | −8.00000 | + | 13.8564i | −0.394132 | + | 0.682656i | ||||
\(413\) | 4.00000 | + | 6.92820i | 0.196827 | + | 0.340915i | ||||
\(414\) | 2.00000 | + | 3.46410i | 0.0982946 | + | 0.170251i | ||||
\(415\) | −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 | ||||
\(421\) | 20.0000 | 0.974740 | 0.487370 | − | 0.873195i | \(-0.337956\pi\) | ||||
0.487370 | + | 0.873195i | \(0.337956\pi\) | |||||||
\(422\) | −6.00000 | + | 10.3923i | −0.292075 | + | 0.505889i | ||||
\(423\) | −6.00000 | + | 10.3923i | −0.291730 | + | 0.505291i | ||||
\(424\) | −6.00000 | −0.291386 | ||||||||
\(425\) | 1.00000 | − | 1.73205i | 0.0485071 | − | 0.0840168i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.00000 | − | 3.46410i | −0.0967868 | − | 0.167640i | ||||
\(428\) | 8.00000 | 0.386695 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.00000 | −0.385794 | ||||||||
\(431\) | 10.0000 | + | 17.3205i | 0.481683 | + | 0.834300i | 0.999779 | − | 0.0210230i | \(-0.00669232\pi\) |
−0.518096 | + | 0.855323i | \(0.673359\pi\) | |||||||
\(432\) | −0.500000 | − | 0.866025i | −0.0240563 | − | 0.0416667i | ||||
\(433\) | −13.0000 | + | 22.5167i | −0.624740 | + | 1.08208i | 0.363851 | + | 0.931457i | \(0.381462\pi\) |
−0.988591 | + | 0.150624i | \(0.951872\pi\) | |||||||
\(434\) | 20.0000 | 0.960031 | ||||||||
\(435\) | 10.0000 | − | 17.3205i | 0.479463 | − | 0.830455i | ||||
\(436\) | −2.00000 | + | 3.46410i | −0.0957826 | + | 0.165900i | ||||
\(437\) | 24.0000 | 1.14808 | ||||||||
\(438\) | −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 | \(0.624107\pi\) | |||||||
\(444\) | 4.00000 | + | 6.92820i | 0.189832 | + | 0.328798i | ||||
\(445\) | −6.00000 | − | 10.3923i | −0.284427 | − | 0.492642i | ||||
\(446\) | 7.00000 | − | 12.1244i | 0.331460 | − | 0.574105i | ||||
\(447\) | 14.0000 | 0.662177 | ||||||||
\(448\) | −1.00000 | + | 1.73205i | −0.0472456 | + | 0.0818317i | ||||
\(449\) | −3.00000 | + | 5.19615i | −0.141579 | + | 0.245222i | −0.928091 | − | 0.372353i | \(-0.878551\pi\) |
0.786513 | + | 0.617574i | \(0.211885\pi\) | |||||||
\(450\) | −1.00000 | −0.0471405 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −7.00000 | − | 12.1244i | −0.329252 | − | 0.570282i | ||||
\(453\) | 5.00000 | + | 8.66025i | 0.234920 | + | 0.406894i | ||||
\(454\) | 8.00000 | 0.375459 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −6.00000 | −0.280976 | ||||||||
\(457\) | −14.0000 | − | 24.2487i | −0.654892 | − | 1.13431i | −0.981921 | − | 0.189292i | \(-0.939381\pi\) |
0.327028 | − | 0.945015i | \(-0.393953\pi\) | |||||||
\(458\) | 2.00000 | + | 3.46410i | 0.0934539 | + | 0.161867i | ||||
\(459\) | −1.00000 | + | 1.73205i | −0.0466760 | + | 0.0808452i | ||||
\(460\) | −8.00000 | −0.373002 | ||||||||
\(461\) | 15.0000 | − | 25.9808i | 0.698620 | − | 1.21004i | −0.270326 | − | 0.962769i | \(-0.587131\pi\) |
0.968945 | − | 0.247276i | \(-0.0795353\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.00000 | −0.278844 | −0.139422 | − | 0.990233i | \(-0.544524\pi\) | ||||
−0.139422 | + | 0.990233i | \(0.544524\pi\) | |||||||
\(464\) | 5.00000 | − | 8.66025i | 0.232119 | − | 0.402042i | ||||
\(465\) | −10.0000 | − | 17.3205i | −0.463739 | − | 0.803219i | ||||
\(466\) | −3.00000 | − | 5.19615i | −0.138972 | − | 0.240707i | ||||
\(467\) | 12.0000 | 0.555294 | 0.277647 | − | 0.960683i | \(-0.410445\pi\) | ||||
0.277647 | + | 0.960683i | \(0.410445\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.00000 | −0.184703 | ||||||||
\(470\) | −12.0000 | − | 20.7846i | −0.553519 | − | 0.958723i | ||||
\(471\) | 1.00000 | + | 1.73205i | 0.0460776 | + | 0.0798087i | ||||
\(472\) | 2.00000 | − | 3.46410i | 0.0920575 | − | 0.159448i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.00000 | + | 5.19615i | −0.137649 | + | 0.238416i | ||||
\(476\) | 4.00000 | 0.183340 | ||||||||
\(477\) | 3.00000 | − | 5.19615i | 0.137361 | − | 0.237915i | ||||
\(478\) | 8.00000 | + | 13.8564i | 0.365911 | + | 0.633777i | ||||
\(479\) | 12.0000 | + | 20.7846i | 0.548294 | + | 0.949673i | 0.998392 | + | 0.0566937i | \(0.0180558\pi\) |
−0.450098 | + | 0.892979i | \(0.648611\pi\) | |||||||
\(480\) | 2.00000 | 0.0912871 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −20.0000 | −0.910975 | ||||||||
\(483\) | 4.00000 | + | 6.92820i | 0.182006 | + | 0.315244i | ||||
\(484\) | 5.50000 | + | 9.52628i | 0.250000 | + | 0.433013i | ||||
\(485\) | 12.0000 | − | 20.7846i | 0.544892 | − | 0.943781i | ||||
\(486\) | 1.00000 | 0.0453609 | ||||||||
\(487\) | −9.00000 | + | 15.5885i | −0.407829 | + | 0.706380i | −0.994646 | − | 0.103339i | \(-0.967047\pi\) |
0.586817 | + | 0.809719i | \(0.300381\pi\) | |||||||
\(488\) | −1.00000 | + | 1.73205i | −0.0452679 | + | 0.0784063i | ||||
\(489\) | 14.0000 | 0.633102 | ||||||||
\(490\) | 3.00000 | − | 5.19615i | 0.135526 | − | 0.234738i | ||||
\(491\) | −14.0000 | − | 24.2487i | −0.631811 | − | 1.09433i | −0.987181 | − | 0.159603i | \(-0.948978\pi\) |
0.355370 | − | 0.934726i | \(-0.384355\pi\) | |||||||
\(492\) | −5.00000 | − | 8.66025i | −0.225417 | − | 0.390434i | ||||
\(493\) | −20.0000 | −0.900755 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.00000 | − | 8.66025i | −0.224507 | − | 0.388857i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 2.00000 | − | 3.46410i | 0.0896221 | − | 0.155230i | ||||
\(499\) | 14.0000 | 0.626726 | 0.313363 | − | 0.949633i | \(-0.398544\pi\) | ||||
0.313363 | + | 0.949633i | \(0.398544\pi\) | |||||||
\(500\) | 6.00000 | − | 10.3923i | 0.268328 | − | 0.464758i | ||||
\(501\) | −6.00000 | + | 10.3923i | −0.268060 | + | 0.464294i | ||||
\(502\) | 28.0000 | 1.24970 | ||||||||
\(503\) | −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 | ||||
\(505\) | 2.00000 | + | 3.46410i | 0.0889988 | + | 0.154150i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8.00000 | −0.354943 | ||||||||
\(509\) | 3.00000 | + | 5.19615i | 0.132973 | + | 0.230315i | 0.924821 | − | 0.380402i | \(-0.124214\pi\) |
−0.791849 | + | 0.610718i | \(0.790881\pi\) | |||||||
\(510\) | −2.00000 | − | 3.46410i | −0.0885615 | − | 0.153393i | ||||
\(511\) | −4.00000 | + | 6.92820i | −0.176950 | + | 0.306486i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 3.00000 | − | 5.19615i | 0.132453 | − | 0.229416i | ||||
\(514\) | 9.00000 | − | 15.5885i | 0.396973 | − | 0.687577i | ||||
\(515\) | 32.0000 | 1.41009 | ||||||||
\(516\) | 2.00000 | − | 3.46410i | 0.0880451 | − | 0.152499i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 8.00000 | + | 13.8564i | 0.351500 | + | 0.608816i | ||||
\(519\) | 6.00000 | 0.263371 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −18.0000 | −0.788594 | −0.394297 | − | 0.918983i | \(-0.629012\pi\) | ||||
−0.394297 | + | 0.918983i | \(0.629012\pi\) | |||||||
\(522\) | 5.00000 | + | 8.66025i | 0.218844 | + | 0.379049i | ||||
\(523\) | −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 | ||||
\(525\) | −2.00000 | −0.0872872 | ||||||||
\(526\) | −12.0000 | + | 20.7846i | −0.523225 | + | 0.906252i | ||||
\(527\) | −10.0000 | + | 17.3205i | −0.435607 | + | 0.754493i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.50000 | − | 6.06218i | 0.152174 | − | 0.263573i | ||||
\(530\) | 6.00000 | + | 10.3923i | 0.260623 | + | 0.451413i | ||||
\(531\) | 2.00000 | + | 3.46410i | 0.0867926 | + | 0.150329i | ||||
\(532\) | −12.0000 | −0.520266 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 6.00000 | 0.259645 | ||||||||
\(535\) | −8.00000 | − | 13.8564i | −0.345870 | − | 0.599065i | ||||
\(536\) | 1.00000 | + | 1.73205i | 0.0431934 | + | 0.0748132i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −10.0000 | −0.431131 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.00000 | + | 1.73205i | −0.0430331 | + | 0.0745356i | ||||
\(541\) | 20.0000 | 0.859867 | 0.429934 | − | 0.902861i | \(-0.358537\pi\) | ||||
0.429934 | + | 0.902861i | \(0.358537\pi\) | |||||||
\(542\) | −5.00000 | + | 8.66025i | −0.214768 | + | 0.371990i | ||||
\(543\) | 11.0000 | + | 19.0526i | 0.472055 | + | 0.817624i | ||||
\(544\) | −1.00000 | − | 1.73205i | −0.0428746 | − | 0.0742611i | ||||
\(545\) | 8.00000 | 0.342682 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 28.0000 | 1.19719 | 0.598597 | − | 0.801050i | \(-0.295725\pi\) | ||||
0.598597 | + | 0.801050i | \(0.295725\pi\) | |||||||
\(548\) | −1.00000 | − | 1.73205i | −0.0427179 | − | 0.0739895i | ||||
\(549\) | −1.00000 | − | 1.73205i | −0.0426790 | − | 0.0739221i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 60.0000 | 2.55609 | ||||||||
\(552\) | 2.00000 | − | 3.46410i | 0.0851257 | − | 0.147442i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 2.00000 | 0.0849719 | ||||||||
\(555\) | 8.00000 | − | 13.8564i | 0.339581 | − | 0.588172i | ||||
\(556\) | 10.0000 | + | 17.3205i | 0.424094 | + | 0.734553i | ||||
\(557\) | 9.00000 | + | 15.5885i | 0.381342 | + | 0.660504i | 0.991254 | − | 0.131965i | \(-0.0421286\pi\) |
−0.609912 | + | 0.792469i | \(0.708795\pi\) | |||||||
\(558\) | 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 | −0.983897 | − | 0.178735i | \(-0.942800\pi\) |
0.646737 | + | 0.762713i | \(0.276133\pi\) | |||||||
\(564\) | 12.0000 | 0.505291 | ||||||||
\(565\) | −14.0000 | + | 24.2487i | −0.588984 | + | 1.02015i | ||||
\(566\) | 2.00000 | − | 3.46410i | 0.0840663 | − | 0.145607i | ||||
\(567\) | 2.00000 | 0.0839921 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 5.00000 | + | 8.66025i | 0.209611 | + | 0.363057i | 0.951592 | − | 0.307364i | \(-0.0994469\pi\) |
−0.741981 | + | 0.670421i | \(0.766114\pi\) | |||||||
\(570\) | 6.00000 | + | 10.3923i | 0.251312 | + | 0.435286i | ||||
\(571\) | 28.0000 | 1.17176 | 0.585882 | − | 0.810397i | \(-0.300748\pi\) | ||||
0.585882 | + | 0.810397i | \(0.300748\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 12.0000 | 0.501307 | ||||||||
\(574\) | −10.0000 | − | 17.3205i | −0.417392 | − | 0.722944i | ||||
\(575\) | −2.00000 | − | 3.46410i | −0.0834058 | − | 0.144463i | ||||
\(576\) | −0.500000 | + | 0.866025i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | 8.00000 | 0.333044 | 0.166522 | − | 0.986038i | \(-0.446746\pi\) | ||||
0.166522 | + | 0.986038i | \(0.446746\pi\) | |||||||
\(578\) | 6.50000 | − | 11.2583i | 0.270364 | − | 0.468285i | ||||
\(579\) | 8.00000 | − | 13.8564i | 0.332469 | − | 0.575853i | ||||
\(580\) | −20.0000 | −0.830455 | ||||||||
\(581\) | 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 | ||||||||
\(587\) | −14.0000 | − | 24.2487i | −0.577842 | − | 1.00085i | −0.995726 | − | 0.0923513i | \(-0.970562\pi\) |
0.417885 | − | 0.908500i | \(-0.362772\pi\) | |||||||
\(588\) | 1.50000 | + | 2.59808i | 0.0618590 | + | 0.107143i | ||||
\(589\) | 30.0000 | − | 51.9615i | 1.23613 | − | 2.14104i | ||||
\(590\) | −8.00000 | −0.329355 | ||||||||
\(591\) | 11.0000 | − | 19.0526i | 0.452480 | − | 0.783718i | ||||
\(592\) | 4.00000 | − | 6.92820i | 0.164399 | − | 0.284747i | ||||
\(593\) | −26.0000 | −1.06769 | −0.533846 | − | 0.845582i | \(-0.679254\pi\) | ||||
−0.533846 | + | 0.845582i | \(0.679254\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.00000 | − | 6.92820i | −0.163984 | − | 0.284029i | ||||
\(596\) | −7.00000 | − | 12.1244i | −0.286731 | − | 0.496633i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(600\) | 0.500000 | + | 0.866025i | 0.0204124 | + | 0.0353553i | ||||
\(601\) | −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 | ||||
\(603\) | −2.00000 | −0.0814463 | ||||||||
\(604\) | 5.00000 | − | 8.66025i | 0.203447 | − | 0.352381i | ||||
\(605\) | 11.0000 | − | 19.0526i | 0.447214 | − | 0.774597i | ||||
\(606\) | −2.00000 | −0.0812444 | ||||||||
\(607\) | 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 | ||||
\(609\) | 10.0000 | + | 17.3205i | 0.405220 | + | 0.701862i | ||||
\(610\) | 4.00000 | 0.161955 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 2.00000 | 0.0808452 | ||||||||
\(613\) | −8.00000 | − | 13.8564i | −0.323117 | − | 0.559655i | 0.658012 | − | 0.753007i | \(-0.271397\pi\) |
−0.981129 | + | 0.193352i | \(0.938064\pi\) | |||||||
\(614\) | −1.00000 | − | 1.73205i | −0.0403567 | − | 0.0698999i | ||||
\(615\) | −10.0000 | + | 17.3205i | −0.403239 | + | 0.698430i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 11.0000 | − | 19.0526i | 0.442843 | − | 0.767027i | −0.555056 | − | 0.831813i | \(-0.687303\pi\) |
0.997899 | + | 0.0647859i | \(0.0206365\pi\) | |||||||
\(618\) | −8.00000 | + | 13.8564i | −0.321807 | + | 0.557386i | ||||
\(619\) | 26.0000 | 1.04503 | 0.522514 | − | 0.852631i | \(-0.324994\pi\) | ||||
0.522514 | + | 0.852631i | \(0.324994\pi\) | |||||||
\(620\) | −10.0000 | + | 17.3205i | −0.401610 | + | 0.695608i | ||||
\(621\) | 2.00000 | + | 3.46410i | 0.0802572 | + | 0.139010i | ||||
\(622\) | −14.0000 | − | 24.2487i | −0.561349 | − | 0.972285i | ||||
\(623\) | 12.0000 | 0.480770 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.0000 | −0.760000 | ||||||||
\(626\) | 13.0000 | + | 22.5167i | 0.519584 | + | 0.899947i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.00000 | − | 1.73205i | 0.0399043 | − | 0.0691164i | ||||
\(629\) | −16.0000 | −0.637962 | ||||||||
\(630\) | −2.00000 | + | 3.46410i | −0.0796819 | + | 0.138013i | ||||
\(631\) | 5.00000 | − | 8.66025i | 0.199047 | − | 0.344759i | −0.749173 | − | 0.662375i | \(-0.769549\pi\) |
0.948220 | + | 0.317615i | \(0.102882\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −6.00000 | + | 10.3923i | −0.238479 | + | 0.413057i | ||||
\(634\) | −9.00000 | − | 15.5885i | −0.357436 | − | 0.619097i | ||||
\(635\) | 8.00000 | + | 13.8564i | 0.317470 | + | 0.549875i | ||||
\(636\) | −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 | −0.987200 | − | 0.159489i | \(-0.949015\pi\) |
0.631721 | + | 0.775196i | \(0.282349\pi\) | |||||||
\(642\) | 8.00000 | 0.315735 | ||||||||
\(643\) | −3.00000 | + | 5.19615i | −0.118308 | + | 0.204916i | −0.919097 | − | 0.394030i | \(-0.871080\pi\) |
0.800789 | + | 0.598947i | \(0.204414\pi\) | |||||||
\(644\) | 4.00000 | − | 6.92820i | 0.157622 | − | 0.273009i | ||||
\(645\) | −8.00000 | −0.315000 | ||||||||
\(646\) | 6.00000 | − | 10.3923i | 0.236067 | − | 0.408880i | ||||
\(647\) | −16.0000 | − | 27.7128i | −0.629025 | − | 1.08950i | −0.987748 | − | 0.156059i | \(-0.950121\pi\) |
0.358723 | − | 0.933444i | \(-0.383212\pi\) | |||||||
\(648\) | −0.500000 | − | 0.866025i | −0.0196419 | − | 0.0340207i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 20.0000 | 0.783862 | ||||||||
\(652\) | −7.00000 | − | 12.1244i | −0.274141 | − | 0.474826i | ||||
\(653\) | 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 | ||||
\(655\) | −16.0000 | −0.625172 | ||||||||
\(656\) | −5.00000 | + | 8.66025i | −0.195217 | + | 0.338126i | ||||
\(657\) | −2.00000 | + | 3.46410i | −0.0780274 | + | 0.135147i | ||||
\(658\) | 24.0000 | 0.935617 | ||||||||
\(659\) | −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 | ||||||||
\(661\) | −20.0000 | − | 34.6410i | −0.777910 | − | 1.34738i | −0.933144 | − | 0.359502i | \(-0.882947\pi\) |
0.155235 | − | 0.987878i | \(-0.450387\pi\) | |||||||
\(662\) | −10.0000 | −0.388661 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.00000 | −0.155230 | ||||||||
\(665\) | 12.0000 | + | 20.7846i | 0.465340 | + | 0.805993i | ||||
\(666\) | 4.00000 | + | 6.92820i | 0.154997 | + | 0.268462i | ||||
\(667\) | −20.0000 | + | 34.6410i | −0.774403 | + | 1.34131i | ||||
\(668\) | 12.0000 | 0.464294 | ||||||||
\(669\) | 7.00000 | − | 12.1244i | 0.270636 | − | 0.468755i | ||||
\(670\) | 2.00000 | − | 3.46410i | 0.0772667 | − | 0.133830i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −1.00000 | + | 1.73205i | −0.0385758 | + | 0.0668153i | ||||
\(673\) | −3.00000 | − | 5.19615i | −0.115642 | − | 0.200297i | 0.802395 | − | 0.596794i | \(-0.203559\pi\) |
−0.918036 | + | 0.396497i | \(0.870226\pi\) | |||||||
\(674\) | −1.00000 | − | 1.73205i | −0.0385186 | − | 0.0667161i | ||||
\(675\) | −1.00000 | −0.0384900 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 18.0000 | 0.691796 | 0.345898 | − | 0.938272i | \(-0.387574\pi\) | ||||
0.345898 | + | 0.938272i | \(0.387574\pi\) | |||||||
\(678\) | −7.00000 | − | 12.1244i | −0.268833 | − | 0.465633i | ||||
\(679\) | 12.0000 | + | 20.7846i | 0.460518 | + | 0.797640i | ||||
\(680\) | −2.00000 | + | 3.46410i | −0.0766965 | + | 0.132842i | ||||
\(681\) | 8.00000 | 0.306561 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −12.0000 | + | 20.7846i | −0.459167 | + | 0.795301i | −0.998917 | − | 0.0465244i | \(-0.985185\pi\) |
0.539750 | + | 0.841825i | \(0.318519\pi\) | |||||||
\(684\) | −6.00000 | −0.229416 | ||||||||
\(685\) | −2.00000 | + | 3.46410i | −0.0764161 | + | 0.132357i | ||||
\(686\) | 10.0000 | + | 17.3205i | 0.381802 | + | 0.661300i | ||||
\(687\) | 2.00000 | + | 3.46410i | 0.0763048 | + | 0.132164i | ||||
\(688\) | −4.00000 | −0.152499 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −8.00000 | −0.304555 | ||||||||
\(691\) | 5.00000 | + | 8.66025i | 0.190209 | + | 0.329452i | 0.945319 | − | 0.326146i | \(-0.105750\pi\) |
−0.755110 | + | 0.655598i | \(0.772417\pi\) | |||||||
\(692\) | −3.00000 | − | 5.19615i | −0.114043 | − | 0.197528i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.0000 | −0.455514 | ||||||||
\(695\) | 20.0000 | − | 34.6410i | 0.758643 | − | 1.31401i | ||||
\(696\) | 5.00000 | − | 8.66025i | 0.189525 | − | 0.328266i | ||||
\(697\) | 20.0000 | 0.757554 | ||||||||
\(698\) | −8.00000 | + | 13.8564i | −0.302804 | + | 0.524473i | ||||
\(699\) | −3.00000 | − | 5.19615i | −0.113470 | − | 0.196537i | ||||
\(700\) | 1.00000 | + | 1.73205i | 0.0377964 | + | 0.0654654i | ||||
\(701\) | −22.0000 | −0.830929 | −0.415464 | − | 0.909610i | \(-0.636381\pi\) | ||||
−0.415464 | + | 0.909610i | \(0.636381\pi\) | |||||||
\(702\) | 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 | ||||
\(707\) | −4.00000 | −0.150435 | ||||||||
\(708\) | 2.00000 | − | 3.46410i | 0.0751646 | − | 0.130189i | ||||
\(709\) | −18.0000 | + | 31.1769i | −0.676004 | + | 1.17087i | 0.300170 | + | 0.953886i | \(0.402957\pi\) |
−0.976174 | + | 0.216988i | \(0.930377\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3.00000 | − | 5.19615i | −0.112430 | − | 0.194734i | ||||
\(713\) | 20.0000 | + | 34.6410i | 0.749006 | + | 1.29732i | ||||
\(714\) | 4.00000 | 0.149696 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 8.00000 | + | 13.8564i | 0.298765 | + | 0.517477i | ||||
\(718\) | 2.00000 | + | 3.46410i | 0.0746393 | + | 0.129279i | ||||
\(719\) | 10.0000 | − | 17.3205i | 0.372937 | − | 0.645946i | −0.617079 | − | 0.786901i | \(-0.711684\pi\) |
0.990016 | + | 0.140955i | \(0.0450174\pi\) | |||||||
\(720\) | 2.00000 | 0.0745356 | ||||||||
\(721\) | −16.0000 | + | 27.7128i | −0.595871 | + | 1.03208i | ||||
\(722\) | −8.50000 | + | 14.7224i | −0.316337 | + | 0.547912i | ||||
\(723\) | −20.0000 | −0.743808 | ||||||||
\(724\) | 11.0000 | − | 19.0526i | 0.408812 | − | 0.708083i | ||||
\(725\) | −5.00000 | − | 8.66025i | −0.185695 | − | 0.321634i | ||||
\(726\) | 5.50000 | + | 9.52628i | 0.204124 | + | 0.353553i | ||||
\(727\) | −8.00000 | −0.296704 | −0.148352 | − | 0.988935i | \(-0.547397\pi\) | ||||
−0.148352 | + | 0.988935i | \(0.547397\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −4.00000 | − | 6.92820i | −0.148047 | − | 0.256424i | ||||
\(731\) | 4.00000 | + | 6.92820i | 0.147945 | + | 0.256249i | ||||
\(732\) | −1.00000 | + | 1.73205i | −0.0369611 | + | 0.0640184i | ||||
\(733\) | −44.0000 | −1.62518 | −0.812589 | − | 0.582838i | \(-0.801942\pi\) | ||||
−0.812589 | + | 0.582838i | \(0.801942\pi\) | |||||||
\(734\) | −4.00000 | + | 6.92820i | −0.147643 | + | 0.255725i | ||||
\(735\) | 3.00000 | − | 5.19615i | 0.110657 | − | 0.191663i | ||||
\(736\) | −4.00000 | −0.147442 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −5.00000 | − | 8.66025i | −0.184053 | − | 0.318788i | ||||
\(739\) | −13.0000 | − | 22.5167i | −0.478213 | − | 0.828289i | 0.521475 | − | 0.853266i | \(-0.325382\pi\) |
−0.999688 | + | 0.0249776i | \(0.992049\pi\) | |||||||
\(740\) | −16.0000 | −0.588172 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −12.0000 | −0.440534 | ||||||||
\(743\) | −8.00000 | − | 13.8564i | −0.293492 | − | 0.508342i | 0.681141 | − | 0.732152i | \(-0.261484\pi\) |
−0.974633 | + | 0.223810i | \(0.928151\pi\) | |||||||
\(744\) | −5.00000 | − | 8.66025i | −0.183309 | − | 0.317500i | ||||
\(745\) | −14.0000 | + | 24.2487i | −0.512920 | + | 0.888404i | ||||
\(746\) | −6.00000 | −0.219676 | ||||||||
\(747\) | 2.00000 | − | 3.46410i | 0.0731762 | − | 0.126745i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 16.0000 | 0.584627 | ||||||||
\(750\) | 6.00000 | − | 10.3923i | 0.219089 | − | 0.379473i | ||||
\(751\) | 16.0000 | + | 27.7128i | 0.583848 | + | 1.01125i | 0.995018 | + | 0.0996961i | \(0.0317870\pi\) |
−0.411170 | + | 0.911559i | \(0.634880\pi\) | |||||||
\(752\) | −6.00000 | − | 10.3923i | −0.218797 | − | 0.378968i | ||||
\(753\) | 28.0000 | 1.02038 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −20.0000 | −0.727875 | ||||||||
\(756\) | −1.00000 | − | 1.73205i | −0.0363696 | − | 0.0629941i | ||||
\(757\) | 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 | ||||||||
\(760\) | 6.00000 | − | 10.3923i | 0.217643 | − | 0.376969i | ||||
\(761\) | 15.0000 | − | 25.9808i | 0.543750 | − | 0.941802i | −0.454935 | − | 0.890525i | \(-0.650337\pi\) |
0.998684 | − | 0.0512772i | \(-0.0163292\pi\) | |||||||
\(762\) | −8.00000 | −0.289809 | ||||||||
\(763\) | −4.00000 | + | 6.92820i | −0.144810 | + | 0.250818i | ||||
\(764\) | −6.00000 | − | 10.3923i | −0.217072 | − | 0.375980i | ||||
\(765\) | −2.00000 | − | 3.46410i | −0.0723102 | − | 0.125245i | ||||
\(766\) | −4.00000 | −0.144526 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 1.00000 | 0.0360844 | ||||||||
\(769\) | −12.0000 | − | 20.7846i | −0.432731 | − | 0.749512i | 0.564376 | − | 0.825518i | \(-0.309117\pi\) |
−0.997107 | + | 0.0760054i | \(0.975783\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 9.00000 | − | 15.5885i | 0.324127 | − | 0.561405i | ||||
\(772\) | −16.0000 | −0.575853 | ||||||||
\(773\) | −3.00000 | + | 5.19615i | −0.107903 | + | 0.186893i | −0.914920 | − | 0.403634i | \(-0.867747\pi\) |
0.807018 | + | 0.590527i | \(0.201080\pi\) | |||||||
\(774\) | 2.00000 | − | 3.46410i | 0.0718885 | − | 0.124515i | ||||
\(775\) | −10.0000 | −0.359211 | ||||||||
\(776\) | 6.00000 | − | 10.3923i | 0.215387 | − | 0.373062i | ||||
\(777\) | 8.00000 | + | 13.8564i | 0.286998 | + | 0.497096i | ||||
\(778\) | 15.0000 | + | 25.9808i | 0.537776 | + | 0.931455i | ||||
\(779\) | −60.0000 | −2.14972 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 4.00000 | + | 6.92820i | 0.143040 | + | 0.247752i | ||||
\(783\) | 5.00000 | + | 8.66025i | 0.178685 | + | 0.309492i | ||||
\(784\) | 1.50000 | − | 2.59808i | 0.0535714 | − | 0.0927884i | ||||
\(785\) | −4.00000 | −0.142766 | ||||||||
\(786\) | 4.00000 | − | 6.92820i | 0.142675 | − | 0.247121i | ||||
\(787\) | 19.0000 | − | 32.9090i | 0.677277 | − | 1.17308i | −0.298521 | − | 0.954403i | \(-0.596493\pi\) |
0.975798 | − | 0.218675i | \(-0.0701734\pi\) | |||||||
\(788\) | −22.0000 | −0.783718 | ||||||||
\(789\) | −12.0000 | + | 20.7846i | −0.427211 | + | 0.739952i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −14.0000 | − | 24.2487i | −0.497783 | − | 0.862185i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −8.00000 | −0.283909 | ||||||||
\(795\) | 6.00000 | + | 10.3923i | 0.212798 | + | 0.368577i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −1.00000 | + | 1.73205i | −0.0354218 | + | 0.0613524i | −0.883193 | − | 0.469010i | \(-0.844611\pi\) |
0.847771 | + | 0.530362i | \(0.177944\pi\) | |||||||
\(798\) | −12.0000 | −0.424795 | ||||||||
\(799\) | −12.0000 | + | 20.7846i | −0.424529 | + | 0.735307i | ||||
\(800\) | 0.500000 | − | 0.866025i | 0.0176777 | − | 0.0306186i | ||||
\(801\) | 6.00000 | 0.212000 | ||||||||
\(802\) | −15.0000 | + | 25.9808i | −0.529668 | + | 0.917413i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 1.00000 | + | 1.73205i | 0.0352673 | + | 0.0610847i | ||||
\(805\) | −16.0000 | −0.563926 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −10.0000 | −0.352017 | ||||||||
\(808\) | 1.00000 | + | 1.73205i | 0.0351799 | + | 0.0609333i | ||||
\(809\) | 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 | ||||
\(811\) | 10.0000 | 0.351147 | 0.175574 | − | 0.984466i | \(-0.443822\pi\) | ||||
0.175574 | + | 0.984466i | \(0.443822\pi\) | |||||||
\(812\) | 10.0000 | − | 17.3205i | 0.350931 | − | 0.607831i | ||||
\(813\) | −5.00000 | + | 8.66025i | −0.175358 | + | 0.303728i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −14.0000 | + | 24.2487i | −0.490399 | + | 0.849395i | ||||
\(816\) | −1.00000 | − | 1.73205i | −0.0350070 | − | 0.0606339i | ||||
\(817\) | −12.0000 | − | 20.7846i | −0.419827 | − | 0.727161i | ||||
\(818\) | 4.00000 | 0.139857 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 20.0000 | 0.698430 | ||||||||
\(821\) | −15.0000 | − | 25.9808i | −0.523504 | − | 0.906735i | −0.999626 | − | 0.0273557i | \(-0.991291\pi\) |
0.476122 | − | 0.879379i | \(-0.342042\pi\) | |||||||
\(822\) | −1.00000 | − | 1.73205i | −0.0348790 | − | 0.0604122i | ||||
\(823\) | 12.0000 | − | 20.7846i | 0.418294 | − | 0.724506i | −0.577474 | − | 0.816409i | \(-0.695962\pi\) |
0.995768 | + | 0.0919029i | \(0.0292950\pi\) | |||||||
\(824\) | 16.0000 | 0.557386 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.00000 | − | 6.92820i | 0.139178 | − | 0.241063i | ||||
\(827\) | −48.0000 | −1.66912 | −0.834562 | − | 0.550914i | \(-0.814279\pi\) | ||||
−0.834562 | + | 0.550914i | \(0.814279\pi\) | |||||||
\(828\) | 2.00000 | − | 3.46410i | 0.0695048 | − | 0.120386i | ||||
\(829\) | −15.0000 | − | 25.9808i | −0.520972 | − | 0.902349i | −0.999703 | − | 0.0243876i | \(-0.992236\pi\) |
0.478731 | − | 0.877962i | \(-0.341097\pi\) | |||||||
\(830\) | 4.00000 | + | 6.92820i | 0.138842 | + | 0.240481i | ||||
\(831\) | 2.00000 | 0.0693792 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −6.00000 | −0.207888 | ||||||||
\(834\) | 10.0000 | + | 17.3205i | 0.346272 | + | 0.599760i | ||||
\(835\) | −12.0000 | − | 20.7846i | −0.415277 | − | 0.719281i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 10.0000 | 0.345651 | ||||||||
\(838\) | −20.0000 | + | 34.6410i | −0.690889 | + | 1.19665i | ||||
\(839\) | −8.00000 | + | 13.8564i | −0.276191 | + | 0.478376i | −0.970435 | − | 0.241363i | \(-0.922405\pi\) |
0.694244 | + | 0.719740i | \(0.255739\pi\) | |||||||
\(840\) | 4.00000 | 0.138013 | ||||||||
\(841\) | −35.5000 | + | 61.4878i | −1.22414 | + | 2.12027i | ||||
\(842\) | −10.0000 | − | 17.3205i | −0.344623 | − | 0.596904i | ||||
\(843\) | −5.00000 | − | 8.66025i | −0.172209 | − | 0.298275i | ||||
\(844\) | 12.0000 | 0.413057 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 12.0000 | 0.412568 | ||||||||
\(847\) | 11.0000 | + | 19.0526i | 0.377964 | + | 0.654654i | ||||
\(848\) | 3.00000 | + | 5.19615i | 0.103020 | + | 0.178437i | ||||
\(849\) | 2.00000 | − | 3.46410i | 0.0686398 | − | 0.118888i | ||||
\(850\) | −2.00000 | −0.0685994 | ||||||||
\(851\) | −16.0000 | + | 27.7128i | −0.548473 | + | 0.949983i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −56.0000 | −1.91740 | −0.958702 | − | 0.284413i | \(-0.908201\pi\) | ||||
−0.958702 | + | 0.284413i | \(0.908201\pi\) | |||||||
\(854\) | −2.00000 | + | 3.46410i | −0.0684386 | + | 0.118539i | ||||
\(855\) | 6.00000 | + | 10.3923i | 0.205196 | + | 0.355409i | ||||
\(856\) | −4.00000 | − | 6.92820i | −0.136717 | − | 0.236801i | ||||
\(857\) | 22.0000 | 0.751506 | 0.375753 | − | 0.926720i | \(-0.377384\pi\) | ||||
0.375753 | + | 0.926720i | \(0.377384\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −20.0000 | −0.682391 | −0.341196 | − | 0.939992i | \(-0.610832\pi\) | ||||
−0.341196 | + | 0.939992i | \(0.610832\pi\) | |||||||
\(860\) | 4.00000 | + | 6.92820i | 0.136399 | + | 0.236250i | ||||
\(861\) | −10.0000 | − | 17.3205i | −0.340799 | − | 0.590281i | ||||
\(862\) | 10.0000 | − | 17.3205i | 0.340601 | − | 0.589939i | ||||
\(863\) | −44.0000 | −1.49778 | −0.748889 | − | 0.662696i | \(-0.769412\pi\) | ||||
−0.748889 | + | 0.662696i | \(0.769412\pi\) | |||||||
\(864\) | −0.500000 | + | 0.866025i | −0.0170103 | + | 0.0294628i | ||||
\(865\) | −6.00000 | + | 10.3923i | −0.204006 | + | 0.353349i | ||||
\(866\) | 26.0000 | 0.883516 | ||||||||
\(867\) | 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 | ||||||||
\(873\) | 6.00000 | + | 10.3923i | 0.203069 | + | 0.351726i | ||||
\(874\) | −12.0000 | − | 20.7846i | −0.405906 | − | 0.703050i | ||||
\(875\) | 12.0000 | − | 20.7846i | 0.405674 | − | 0.702648i | ||||
\(876\) | 4.00000 | 0.135147 | ||||||||
\(877\) | −4.00000 | + | 6.92820i | −0.135070 | + | 0.233949i | −0.925624 | − | 0.378444i | \(-0.876459\pi\) |
0.790554 | + | 0.612392i | \(0.209793\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 14.0000 | 0.472208 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 21.0000 | + | 36.3731i | 0.707508 | + | 1.22544i | 0.965779 | + | 0.259367i | \(0.0835140\pi\) |
−0.258271 | + | 0.966073i | \(0.583153\pi\) | |||||||
\(882\) | 1.50000 | + | 2.59808i | 0.0505076 | + | 0.0874818i | ||||
\(883\) | 36.0000 | 1.21150 | 0.605748 | − | 0.795656i | \(-0.292874\pi\) | ||||
0.605748 | + | 0.795656i | \(0.292874\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −8.00000 | −0.268917 | ||||||||
\(886\) | 8.00000 | + | 13.8564i | 0.268765 | + | 0.465515i | ||||
\(887\) | 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 | ||||
\(889\) | −16.0000 | −0.536623 | ||||||||
\(890\) | −6.00000 | + | 10.3923i | −0.201120 | + | 0.348351i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −14.0000 | −0.468755 | ||||||||
\(893\) | 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 | ||||||||
\(899\) | 50.0000 | + | 86.6025i | 1.66759 | + | 2.88836i | ||||
\(900\) | 0.500000 | + | 0.866025i | 0.0166667 | + | 0.0288675i | ||||
\(901\) | 6.00000 | − | 10.3923i | 0.199889 | − | 0.346218i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 4.00000 | − | 6.92820i | 0.133112 | − | 0.230556i | ||||
\(904\) | −7.00000 | + | 12.1244i | −0.232817 | + | 0.403250i | ||||
\(905\) | −44.0000 | −1.46261 | ||||||||
\(906\) | 5.00000 | − | 8.66025i | 0.166114 | − | 0.287718i | ||||
\(907\) | 14.0000 | + | 24.2487i | 0.464862 | + | 0.805165i | 0.999195 | − | 0.0401089i | \(-0.0127705\pi\) |
−0.534333 | + | 0.845274i | \(0.679437\pi\) | |||||||
\(908\) | −4.00000 | − | 6.92820i | −0.132745 | − | 0.229920i | ||||
\(909\) | −2.00000 | −0.0663358 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 12.0000 | 0.397578 | 0.198789 | − | 0.980042i | \(-0.436299\pi\) | ||||
0.198789 | + | 0.980042i | \(0.436299\pi\) | |||||||
\(912\) | 3.00000 | + | 5.19615i | 0.0993399 | + | 0.172062i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −14.0000 | + | 24.2487i | −0.463079 | + | 0.802076i | ||||
\(915\) | 4.00000 | 0.132236 | ||||||||
\(916\) | 2.00000 | − | 3.46410i | 0.0660819 | − | 0.114457i | ||||
\(917\) | 8.00000 | − | 13.8564i | 0.264183 | − | 0.457579i | ||||
\(918\) | 2.00000 | 0.0660098 | ||||||||
\(919\) | 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 | ||||
\(921\) | −1.00000 | − | 1.73205i | −0.0329511 | − | 0.0570730i | ||||
\(922\) | −30.0000 | −0.987997 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.00000 | − | 6.92820i | −0.131519 | − | 0.227798i | ||||
\(926\) | 3.00000 | + | 5.19615i | 0.0985861 | + | 0.170756i | ||||
\(927\) | −8.00000 | + | 13.8564i | −0.262754 | + | 0.455104i | ||||
\(928\) | −10.0000 | −0.328266 | ||||||||
\(929\) | 3.00000 | − | 5.19615i | 0.0984268 | − | 0.170480i | −0.812607 | − | 0.582812i | \(-0.801952\pi\) |
0.911034 | + | 0.412332i | \(0.135286\pi\) | |||||||
\(930\) | −10.0000 | + | 17.3205i | −0.327913 | + | 0.567962i | ||||
\(931\) | 18.0000 | 0.589926 | ||||||||
\(932\) | −3.00000 | + | 5.19615i | −0.0982683 | + | 0.170206i | ||||
\(933\) | −14.0000 | − | 24.2487i | −0.458339 | − | 0.793867i | ||||
\(934\) | −6.00000 | − | 10.3923i | −0.196326 | − | 0.340047i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.00000 | −0.0653372 | −0.0326686 | − | 0.999466i | \(-0.510401\pi\) | ||||
−0.0326686 | + | 0.999466i | \(0.510401\pi\) | |||||||
\(938\) | 2.00000 | + | 3.46410i | 0.0653023 | + | 0.113107i | ||||
\(939\) | 13.0000 | + | 22.5167i | 0.424239 | + | 0.734803i | ||||
\(940\) | −12.0000 | + | 20.7846i | −0.391397 | + | 0.677919i | ||||
\(941\) | −10.0000 | −0.325991 | −0.162995 | − | 0.986627i | \(-0.552116\pi\) | ||||
−0.162995 | + | 0.986627i | \(0.552116\pi\) | |||||||
\(942\) | 1.00000 | − | 1.73205i | 0.0325818 | − | 0.0564333i | ||||
\(943\) | 20.0000 | − | 34.6410i | 0.651290 | − | 1.12807i | ||||
\(944\) | −4.00000 | −0.130189 | ||||||||
\(945\) | −2.00000 | + | 3.46410i | −0.0650600 | + | 0.112687i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −26.0000 | − | 45.0333i | −0.844886 | − | 1.46339i | −0.885720 | − | 0.464220i | \(-0.846335\pi\) |
0.0408333 | − | 0.999166i | \(-0.486999\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 6.00000 | 0.194666 | ||||||||
\(951\) | −9.00000 | − | 15.5885i | −0.291845 | − | 0.505490i | ||||
\(952\) | −2.00000 | − | 3.46410i | −0.0648204 | − | 0.112272i | ||||
\(953\) | −3.00000 | + | 5.19615i | −0.0971795 | + | 0.168320i | −0.910516 | − | 0.413473i | \(-0.864315\pi\) |
0.813337 | + | 0.581793i | \(0.197649\pi\) | |||||||
\(954\) | −6.00000 | −0.194257 | ||||||||
\(955\) | −12.0000 | + | 20.7846i | −0.388311 | + | 0.672574i | ||||
\(956\) | 8.00000 | − | 13.8564i | 0.258738 | − | 0.448148i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 12.0000 | − | 20.7846i | 0.387702 | − | 0.671520i | ||||
\(959\) | −2.00000 | − | 3.46410i | −0.0645834 | − | 0.111862i | ||||
\(960\) | −1.00000 | − | 1.73205i | −0.0322749 | − | 0.0559017i | ||||
\(961\) | 69.0000 | 2.22581 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 8.00000 | 0.257796 | ||||||||
\(964\) | 10.0000 | + | 17.3205i | 0.322078 | + | 0.557856i | ||||
\(965\) | 16.0000 | + | 27.7128i | 0.515058 | + | 0.892107i | ||||
\(966\) | 4.00000 | − | 6.92820i | 0.128698 | − | 0.222911i | ||||
\(967\) | −22.0000 | −0.707472 | −0.353736 | − | 0.935345i | \(-0.615089\pi\) | ||||
−0.353736 | + | 0.935345i | \(0.615089\pi\) | |||||||
\(968\) | 5.50000 | − | 9.52628i | 0.176777 | − | 0.306186i | ||||
\(969\) | 6.00000 | − | 10.3923i | 0.192748 | − | 0.333849i | ||||
\(970\) | −24.0000 | −0.770594 | ||||||||
\(971\) | −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 | ||||
\(973\) | 20.0000 | + | 34.6410i | 0.641171 | + | 1.11054i | ||||
\(974\) | 18.0000 | 0.576757 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.00000 | 0.0640184 | ||||||||
\(977\) | 21.0000 | + | 36.3731i | 0.671850 | + | 1.16368i | 0.977379 | + | 0.211495i | \(0.0678332\pi\) |
−0.305530 | + | 0.952183i | \(0.598833\pi\) | |||||||
\(978\) | −7.00000 | − | 12.1244i | −0.223835 | − | 0.387694i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −6.00000 | −0.191663 | ||||||||
\(981\) | −2.00000 | + | 3.46410i | −0.0638551 | + | 0.110600i | ||||
\(982\) | −14.0000 | + | 24.2487i | −0.446758 | + | 0.773807i | ||||
\(983\) | 24.0000 | 0.765481 | 0.382741 | − | 0.923856i | \(-0.374980\pi\) | ||||
0.382741 | + | 0.923856i | \(0.374980\pi\) | |||||||
\(984\) | −5.00000 | + | 8.66025i | −0.159394 | + | 0.276079i | ||||
\(985\) | 22.0000 | + | 38.1051i | 0.700978 | + | 1.21413i | ||||
\(986\) | 10.0000 | + | 17.3205i | 0.318465 | + | 0.551597i | ||||
\(987\) | 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 | ||||
\(993\) | −10.0000 | −0.317340 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −4.00000 | −0.126745 | ||||||||
\(997\) | 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 | ||||
\(999\) | 4.00000 | + | 6.92820i | 0.126554 | + | 0.219199i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))