Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(316,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.316");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.j (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: | \(4.04841538248\) |
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 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 361.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.361 |
Dual form | 507.2.j.c.316.1 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.50000 | − | 0.866025i | 1.06066 | − | 0.612372i | 0.135045 | − | 0.990839i | \(-0.456882\pi\) |
0.925615 | + | 0.378467i | \(0.123549\pi\) | |||||||
\(3\) | 0.500000 | + | 0.866025i | 0.288675 | + | 0.500000i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(6\) | 1.50000 | + | 0.866025i | 0.612372 | + | 0.353553i | ||||
\(7\) | 3.00000 | + | 1.73205i | 1.13389 | + | 0.654654i | 0.944911 | − | 0.327327i | \(-0.106148\pi\) |
0.188982 | + | 0.981981i | \(0.439481\pi\) | |||||||
\(8\) | 1.73205i | 0.612372i | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.00000 | + | 1.73205i | −0.904534 | + | 0.522233i | −0.878668 | − | 0.477432i | \(-0.841568\pi\) |
−0.0258656 | + | 0.999665i | \(0.508234\pi\) | |||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 6.00000 | 1.60357 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.50000 | + | 4.33013i | 0.625000 | + | 1.08253i | ||||
\(17\) | 3.00000 | − | 5.19615i | 0.727607 | − | 1.26025i | −0.230285 | − | 0.973123i | \(-0.573966\pi\) |
0.957892 | − | 0.287129i | \(-0.0927008\pi\) | |||||||
\(18\) | 1.73205i | 0.408248i | ||||||||
\(19\) | −3.00000 | − | 1.73205i | −0.688247 | − | 0.397360i | 0.114708 | − | 0.993399i | \(-0.463407\pi\) |
−0.802955 | + | 0.596040i | \(0.796740\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.46410i | 0.755929i | ||||||||
\(22\) | −3.00000 | + | 5.19615i | −0.639602 | + | 1.10782i | ||||
\(23\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(24\) | −1.50000 | + | 0.866025i | −0.306186 | + | 0.176777i | ||||
\(25\) | 5.00000 | 1.00000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 3.00000 | − | 1.73205i | 0.566947 | − | 0.327327i | ||||
\(29\) | −3.00000 | − | 5.19615i | −0.557086 | − | 0.964901i | −0.997738 | − | 0.0672232i | \(-0.978586\pi\) |
0.440652 | − | 0.897678i | \(-0.354747\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 3.46410i | − | 0.622171i | −0.950382 | − | 0.311086i | \(-0.899307\pi\) | ||
0.950382 | − | 0.311086i | \(-0.100693\pi\) | |||||||
\(32\) | 4.50000 | + | 2.59808i | 0.795495 | + | 0.459279i | ||||
\(33\) | −3.00000 | − | 1.73205i | −0.522233 | − | 0.301511i | ||||
\(34\) | − | 10.3923i | − | 1.78227i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.500000 | + | 0.866025i | 0.0833333 | + | 0.144338i | ||||
\(37\) | 6.00000 | − | 3.46410i | 0.986394 | − | 0.569495i | 0.0821995 | − | 0.996616i | \(-0.473806\pi\) |
0.904194 | + | 0.427121i | \(0.140472\pi\) | |||||||
\(38\) | −6.00000 | −0.973329 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −6.00000 | + | 3.46410i | −0.937043 | + | 0.541002i | −0.889032 | − | 0.457845i | \(-0.848621\pi\) |
−0.0480106 | + | 0.998847i | \(0.515288\pi\) | |||||||
\(42\) | 3.00000 | + | 5.19615i | 0.462910 | + | 0.801784i | ||||
\(43\) | 2.00000 | − | 3.46410i | 0.304997 | − | 0.528271i | −0.672264 | − | 0.740312i | \(-0.734678\pi\) |
0.977261 | + | 0.212041i | \(0.0680112\pi\) | |||||||
\(44\) | 3.46410i | 0.522233i | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.46410i | 0.505291i | 0.967559 | + | 0.252646i | \(0.0813007\pi\) | ||||
−0.967559 | + | 0.252646i | \(0.918699\pi\) | |||||||
\(48\) | −2.50000 | + | 4.33013i | −0.360844 | + | 0.625000i | ||||
\(49\) | 2.50000 | + | 4.33013i | 0.357143 | + | 0.618590i | ||||
\(50\) | 7.50000 | − | 4.33013i | 1.06066 | − | 0.612372i | ||||
\(51\) | 6.00000 | 0.840168 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.00000 | 0.824163 | 0.412082 | − | 0.911147i | \(-0.364802\pi\) | ||||
0.412082 | + | 0.911147i | \(0.364802\pi\) | |||||||
\(54\) | −1.50000 | + | 0.866025i | −0.204124 | + | 0.117851i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −3.00000 | + | 5.19615i | −0.400892 | + | 0.694365i | ||||
\(57\) | − | 3.46410i | − | 0.458831i | ||||||
\(58\) | −9.00000 | − | 5.19615i | −1.18176 | − | 0.682288i | ||||
\(59\) | −9.00000 | − | 5.19615i | −1.17170 | − | 0.676481i | −0.217620 | − | 0.976034i | \(-0.569829\pi\) |
−0.954080 | + | 0.299552i | \(0.903163\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.00000 | − | 1.73205i | 0.128037 | − | 0.221766i | −0.794879 | − | 0.606768i | \(-0.792466\pi\) |
0.922916 | + | 0.385002i | \(0.125799\pi\) | |||||||
\(62\) | −3.00000 | − | 5.19615i | −0.381000 | − | 0.659912i | ||||
\(63\) | −3.00000 | + | 1.73205i | −0.377964 | + | 0.218218i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −6.00000 | −0.738549 | ||||||||
\(67\) | −9.00000 | + | 5.19615i | −1.09952 | + | 0.634811i | −0.936096 | − | 0.351744i | \(-0.885589\pi\) |
−0.163429 | + | 0.986555i | \(0.552255\pi\) | |||||||
\(68\) | −3.00000 | − | 5.19615i | −0.363803 | − | 0.630126i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.00000 | − | 1.73205i | −0.356034 | − | 0.205557i | 0.311305 | − | 0.950310i | \(-0.399234\pi\) |
−0.667340 | + | 0.744753i | \(0.732567\pi\) | |||||||
\(72\) | −1.50000 | − | 0.866025i | −0.176777 | − | 0.102062i | ||||
\(73\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(74\) | 6.00000 | − | 10.3923i | 0.697486 | − | 1.20808i | ||||
\(75\) | 2.50000 | + | 4.33013i | 0.288675 | + | 0.500000i | ||||
\(76\) | −3.00000 | + | 1.73205i | −0.344124 | + | 0.198680i | ||||
\(77\) | −12.0000 | −1.36753 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.00000 | −0.900070 | −0.450035 | − | 0.893011i | \(-0.648589\pi\) | ||||
−0.450035 | + | 0.893011i | \(0.648589\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −6.00000 | + | 10.3923i | −0.662589 | + | 1.14764i | ||||
\(83\) | − | 3.46410i | − | 0.380235i | −0.981761 | − | 0.190117i | \(-0.939113\pi\) | ||
0.981761 | − | 0.190117i | \(-0.0608868\pi\) | |||||||
\(84\) | 3.00000 | + | 1.73205i | 0.327327 | + | 0.188982i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | − | 6.92820i | − | 0.747087i | ||||||
\(87\) | 3.00000 | − | 5.19615i | 0.321634 | − | 0.557086i | ||||
\(88\) | −3.00000 | − | 5.19615i | −0.319801 | − | 0.553912i | ||||
\(89\) | −6.00000 | + | 3.46410i | −0.635999 | + | 0.367194i | −0.783072 | − | 0.621932i | \(-0.786348\pi\) |
0.147073 | + | 0.989126i | \(0.453015\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 3.00000 | − | 1.73205i | 0.311086 | − | 0.179605i | ||||
\(94\) | 3.00000 | + | 5.19615i | 0.309426 | + | 0.535942i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 5.19615i | 0.530330i | ||||||||
\(97\) | 12.0000 | + | 6.92820i | 1.21842 | + | 0.703452i | 0.964579 | − | 0.263795i | \(-0.0849741\pi\) |
0.253837 | + | 0.967247i | \(0.418307\pi\) | |||||||
\(98\) | 7.50000 | + | 4.33013i | 0.757614 | + | 0.437409i | ||||
\(99\) | − | 3.46410i | − | 0.348155i | ||||||
\(100\) | 2.50000 | − | 4.33013i | 0.250000 | − | 0.433013i | ||||
\(101\) | −3.00000 | − | 5.19615i | −0.298511 | − | 0.517036i | 0.677284 | − | 0.735721i | \(-0.263157\pi\) |
−0.975796 | + | 0.218685i | \(0.929823\pi\) | |||||||
\(102\) | 9.00000 | − | 5.19615i | 0.891133 | − | 0.514496i | ||||
\(103\) | 8.00000 | 0.788263 | 0.394132 | − | 0.919054i | \(-0.371045\pi\) | ||||
0.394132 | + | 0.919054i | \(0.371045\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 9.00000 | − | 5.19615i | 0.874157 | − | 0.504695i | ||||
\(107\) | −6.00000 | − | 10.3923i | −0.580042 | − | 1.00466i | −0.995474 | − | 0.0950377i | \(-0.969703\pi\) |
0.415432 | − | 0.909624i | \(-0.363630\pi\) | |||||||
\(108\) | −0.500000 | + | 0.866025i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | 6.92820i | 0.663602i | 0.943349 | + | 0.331801i | \(0.107656\pi\) | ||||
−0.943349 | + | 0.331801i | \(0.892344\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.00000 | + | 3.46410i | 0.569495 | + | 0.328798i | ||||
\(112\) | 17.3205i | 1.63663i | ||||||||
\(113\) | 3.00000 | − | 5.19615i | 0.282216 | − | 0.488813i | −0.689714 | − | 0.724082i | \(-0.742264\pi\) |
0.971930 | + | 0.235269i | \(0.0755971\pi\) | |||||||
\(114\) | −3.00000 | − | 5.19615i | −0.280976 | − | 0.486664i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −6.00000 | −0.557086 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −18.0000 | −1.65703 | ||||||||
\(119\) | 18.0000 | − | 10.3923i | 1.65006 | − | 0.952661i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.500000 | − | 0.866025i | 0.0454545 | − | 0.0787296i | ||||
\(122\) | − | 3.46410i | − | 0.313625i | ||||||
\(123\) | −6.00000 | − | 3.46410i | −0.541002 | − | 0.312348i | ||||
\(124\) | −3.00000 | − | 1.73205i | −0.269408 | − | 0.155543i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −3.00000 | + | 5.19615i | −0.267261 | + | 0.462910i | ||||
\(127\) | 4.00000 | + | 6.92820i | 0.354943 | + | 0.614779i | 0.987108 | − | 0.160055i | \(-0.0511671\pi\) |
−0.632166 | + | 0.774833i | \(0.717834\pi\) | |||||||
\(128\) | −10.5000 | + | 6.06218i | −0.928078 | + | 0.535826i | ||||
\(129\) | 4.00000 | 0.352180 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −12.0000 | −1.04844 | −0.524222 | − | 0.851581i | \(-0.675644\pi\) | ||||
−0.524222 | + | 0.851581i | \(0.675644\pi\) | |||||||
\(132\) | −3.00000 | + | 1.73205i | −0.261116 | + | 0.150756i | ||||
\(133\) | −6.00000 | − | 10.3923i | −0.520266 | − | 0.901127i | ||||
\(134\) | −9.00000 | + | 15.5885i | −0.777482 | + | 1.34664i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 9.00000 | + | 5.19615i | 0.771744 | + | 0.445566i | ||||
\(137\) | 18.0000 | + | 10.3923i | 1.53784 | + | 0.887875i | 0.998965 | + | 0.0454914i | \(0.0144854\pi\) |
0.538879 | + | 0.842383i | \(0.318848\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.00000 | − | 3.46410i | 0.169638 | − | 0.293821i | −0.768655 | − | 0.639664i | \(-0.779074\pi\) |
0.938293 | + | 0.345843i | \(0.112407\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.00000 | + | 1.73205i | −0.252646 | + | 0.145865i | ||||
\(142\) | −6.00000 | −0.503509 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −5.00000 | −0.416667 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.50000 | + | 4.33013i | −0.206197 | + | 0.357143i | ||||
\(148\) | − | 6.92820i | − | 0.569495i | ||||||
\(149\) | −12.0000 | − | 6.92820i | −0.983078 | − | 0.567581i | −0.0798802 | − | 0.996804i | \(-0.525454\pi\) |
−0.903198 | + | 0.429224i | \(0.858787\pi\) | |||||||
\(150\) | 7.50000 | + | 4.33013i | 0.612372 | + | 0.353553i | ||||
\(151\) | 10.3923i | 0.845714i | 0.906196 | + | 0.422857i | \(0.138973\pi\) | ||||
−0.906196 | + | 0.422857i | \(0.861027\pi\) | |||||||
\(152\) | 3.00000 | − | 5.19615i | 0.243332 | − | 0.421464i | ||||
\(153\) | 3.00000 | + | 5.19615i | 0.242536 | + | 0.420084i | ||||
\(154\) | −18.0000 | + | 10.3923i | −1.45048 | + | 0.837436i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 14.0000 | 1.11732 | 0.558661 | − | 0.829396i | \(-0.311315\pi\) | ||||
0.558661 | + | 0.829396i | \(0.311315\pi\) | |||||||
\(158\) | −12.0000 | + | 6.92820i | −0.954669 | + | 0.551178i | ||||
\(159\) | 3.00000 | + | 5.19615i | 0.237915 | + | 0.412082i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −1.50000 | − | 0.866025i | −0.117851 | − | 0.0680414i | ||||
\(163\) | −3.00000 | − | 1.73205i | −0.234978 | − | 0.135665i | 0.377888 | − | 0.925851i | \(-0.376650\pi\) |
−0.612866 | + | 0.790186i | \(0.709984\pi\) | |||||||
\(164\) | 6.92820i | 0.541002i | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.00000 | − | 5.19615i | −0.232845 | − | 0.403300i | ||||
\(167\) | 15.0000 | − | 8.66025i | 1.16073 | − | 0.670151i | 0.209255 | − | 0.977861i | \(-0.432896\pi\) |
0.951480 | + | 0.307711i | \(0.0995628\pi\) | |||||||
\(168\) | −6.00000 | −0.462910 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.00000 | − | 1.73205i | 0.229416 | − | 0.132453i | ||||
\(172\) | −2.00000 | − | 3.46410i | −0.152499 | − | 0.264135i | ||||
\(173\) | 9.00000 | − | 15.5885i | 0.684257 | − | 1.18517i | −0.289412 | − | 0.957205i | \(-0.593460\pi\) |
0.973670 | − | 0.227964i | \(-0.0732068\pi\) | |||||||
\(174\) | − | 10.3923i | − | 0.787839i | ||||||
\(175\) | 15.0000 | + | 8.66025i | 1.13389 | + | 0.654654i | ||||
\(176\) | −15.0000 | − | 8.66025i | −1.13067 | − | 0.652791i | ||||
\(177\) | − | 10.3923i | − | 0.781133i | ||||||
\(178\) | −6.00000 | + | 10.3923i | −0.449719 | + | 0.778936i | ||||
\(179\) | 6.00000 | + | 10.3923i | 0.448461 | + | 0.776757i | 0.998286 | − | 0.0585225i | \(-0.0186389\pi\) |
−0.549825 | + | 0.835280i | \(0.685306\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.0000 | −0.743294 | −0.371647 | − | 0.928374i | \(-0.621207\pi\) | ||||
−0.371647 | + | 0.928374i | \(0.621207\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.00000 | 0.147844 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 3.00000 | − | 5.19615i | 0.219971 | − | 0.381000i | ||||
\(187\) | 20.7846i | 1.51992i | ||||||||
\(188\) | 3.00000 | + | 1.73205i | 0.218797 | + | 0.126323i | ||||
\(189\) | −3.00000 | − | 1.73205i | −0.218218 | − | 0.125988i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −12.0000 | + | 20.7846i | −0.868290 | + | 1.50392i | −0.00454614 | + | 0.999990i | \(0.501447\pi\) |
−0.863743 | + | 0.503932i | \(0.831886\pi\) | |||||||
\(192\) | −0.500000 | − | 0.866025i | −0.0360844 | − | 0.0625000i | ||||
\(193\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(194\) | 24.0000 | 1.72310 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.00000 | 0.357143 | ||||||||
\(197\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(198\) | −3.00000 | − | 5.19615i | −0.213201 | − | 0.369274i | ||||
\(199\) | −8.00000 | + | 13.8564i | −0.567105 | + | 0.982255i | 0.429745 | + | 0.902950i | \(0.358603\pi\) |
−0.996850 | + | 0.0793045i | \(0.974730\pi\) | |||||||
\(200\) | 8.66025i | 0.612372i | ||||||||
\(201\) | −9.00000 | − | 5.19615i | −0.634811 | − | 0.366508i | ||||
\(202\) | −9.00000 | − | 5.19615i | −0.633238 | − | 0.365600i | ||||
\(203\) | − | 20.7846i | − | 1.45879i | ||||||
\(204\) | 3.00000 | − | 5.19615i | 0.210042 | − | 0.363803i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 12.0000 | − | 6.92820i | 0.836080 | − | 0.482711i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 12.0000 | 0.830057 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.0000 | + | 17.3205i | 0.688428 | + | 1.19239i | 0.972346 | + | 0.233544i | \(0.0750324\pi\) |
−0.283918 | + | 0.958849i | \(0.591634\pi\) | |||||||
\(212\) | 3.00000 | − | 5.19615i | 0.206041 | − | 0.356873i | ||||
\(213\) | − | 3.46410i | − | 0.237356i | ||||||
\(214\) | −18.0000 | − | 10.3923i | −1.23045 | − | 0.710403i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | − | 1.73205i | − | 0.117851i | ||||||
\(217\) | 6.00000 | − | 10.3923i | 0.407307 | − | 0.705476i | ||||
\(218\) | 6.00000 | + | 10.3923i | 0.406371 | + | 0.703856i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 12.0000 | 0.805387 | ||||||||
\(223\) | −3.00000 | + | 1.73205i | −0.200895 | + | 0.115987i | −0.597073 | − | 0.802187i | \(-0.703670\pi\) |
0.396178 | + | 0.918174i | \(0.370336\pi\) | |||||||
\(224\) | 9.00000 | + | 15.5885i | 0.601338 | + | 1.04155i | ||||
\(225\) | −2.50000 | + | 4.33013i | −0.166667 | + | 0.288675i | ||||
\(226\) | − | 10.3923i | − | 0.691286i | ||||||
\(227\) | 15.0000 | + | 8.66025i | 0.995585 | + | 0.574801i | 0.906939 | − | 0.421262i | \(-0.138413\pi\) |
0.0886460 | + | 0.996063i | \(0.471746\pi\) | |||||||
\(228\) | −3.00000 | − | 1.73205i | −0.198680 | − | 0.114708i | ||||
\(229\) | − | 6.92820i | − | 0.457829i | −0.973447 | − | 0.228914i | \(-0.926482\pi\) | ||
0.973447 | − | 0.228914i | \(-0.0735176\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −6.00000 | − | 10.3923i | −0.394771 | − | 0.683763i | ||||
\(232\) | 9.00000 | − | 5.19615i | 0.590879 | − | 0.341144i | ||||
\(233\) | −6.00000 | −0.393073 | −0.196537 | − | 0.980497i | \(-0.562969\pi\) | ||||
−0.196537 | + | 0.980497i | \(0.562969\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −9.00000 | + | 5.19615i | −0.585850 | + | 0.338241i | ||||
\(237\) | −4.00000 | − | 6.92820i | −0.259828 | − | 0.450035i | ||||
\(238\) | 18.0000 | − | 31.1769i | 1.16677 | − | 2.02090i | ||||
\(239\) | − | 10.3923i | − | 0.672222i | −0.941822 | − | 0.336111i | \(-0.890888\pi\) | ||
0.941822 | − | 0.336111i | \(-0.109112\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.0000 | − | 6.92820i | −0.772988 | − | 0.446285i | 0.0609515 | − | 0.998141i | \(-0.480586\pi\) |
−0.833939 | + | 0.551856i | \(0.813920\pi\) | |||||||
\(242\) | − | 1.73205i | − | 0.111340i | ||||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | −1.00000 | − | 1.73205i | −0.0640184 | − | 0.110883i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −12.0000 | −0.765092 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 6.00000 | 0.381000 | ||||||||
\(249\) | 3.00000 | − | 1.73205i | 0.190117 | − | 0.109764i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 6.00000 | − | 10.3923i | 0.378717 | − | 0.655956i | −0.612159 | − | 0.790735i | \(-0.709699\pi\) |
0.990876 | + | 0.134778i | \(0.0430322\pi\) | |||||||
\(252\) | 3.46410i | 0.218218i | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 12.0000 | + | 6.92820i | 0.752947 | + | 0.434714i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −9.50000 | + | 16.4545i | −0.593750 | + | 1.02841i | ||||
\(257\) | −9.00000 | − | 15.5885i | −0.561405 | − | 0.972381i | −0.997374 | − | 0.0724199i | \(-0.976928\pi\) |
0.435970 | − | 0.899961i | \(-0.356405\pi\) | |||||||
\(258\) | 6.00000 | − | 3.46410i | 0.373544 | − | 0.215666i | ||||
\(259\) | 24.0000 | 1.49129 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.00000 | 0.371391 | ||||||||
\(262\) | −18.0000 | + | 10.3923i | −1.11204 | + | 0.642039i | ||||
\(263\) | 12.0000 | + | 20.7846i | 0.739952 | + | 1.28163i | 0.952517 | + | 0.304487i | \(0.0984850\pi\) |
−0.212565 | + | 0.977147i | \(0.568182\pi\) | |||||||
\(264\) | 3.00000 | − | 5.19615i | 0.184637 | − | 0.319801i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −18.0000 | − | 10.3923i | −1.10365 | − | 0.637193i | ||||
\(267\) | −6.00000 | − | 3.46410i | −0.367194 | − | 0.212000i | ||||
\(268\) | 10.3923i | 0.634811i | ||||||||
\(269\) | −3.00000 | + | 5.19615i | −0.182913 | + | 0.316815i | −0.942871 | − | 0.333157i | \(-0.891886\pi\) |
0.759958 | + | 0.649972i | \(0.225219\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 9.00000 | − | 5.19615i | 0.546711 | − | 0.315644i | −0.201083 | − | 0.979574i | \(-0.564446\pi\) |
0.747794 | + | 0.663930i | \(0.231113\pi\) | |||||||
\(272\) | 30.0000 | 1.81902 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 36.0000 | 2.17484 | ||||||||
\(275\) | −15.0000 | + | 8.66025i | −0.904534 | + | 0.522233i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.00000 | − | 8.66025i | 0.300421 | − | 0.520344i | −0.675810 | − | 0.737075i | \(-0.736206\pi\) |
0.976231 | + | 0.216731i | \(0.0695395\pi\) | |||||||
\(278\) | − | 6.92820i | − | 0.415526i | ||||||
\(279\) | 3.00000 | + | 1.73205i | 0.179605 | + | 0.103695i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 6.92820i | 0.413302i | 0.978415 | + | 0.206651i | \(0.0662565\pi\) | ||||
−0.978415 | + | 0.206651i | \(0.933744\pi\) | |||||||
\(282\) | −3.00000 | + | 5.19615i | −0.178647 | + | 0.309426i | ||||
\(283\) | −2.00000 | − | 3.46410i | −0.118888 | − | 0.205919i | 0.800439 | − | 0.599414i | \(-0.204600\pi\) |
−0.919327 | + | 0.393494i | \(0.871266\pi\) | |||||||
\(284\) | −3.00000 | + | 1.73205i | −0.178017 | + | 0.102778i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −24.0000 | −1.41668 | ||||||||
\(288\) | −4.50000 | + | 2.59808i | −0.265165 | + | 0.153093i | ||||
\(289\) | −9.50000 | − | 16.4545i | −0.558824 | − | 0.967911i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 13.8564i | 0.812277i | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −24.0000 | − | 13.8564i | −1.40209 | − | 0.809500i | −0.407487 | − | 0.913211i | \(-0.633595\pi\) |
−0.994607 | + | 0.103711i | \(0.966928\pi\) | |||||||
\(294\) | 8.66025i | 0.505076i | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 6.00000 | + | 10.3923i | 0.348743 | + | 0.604040i | ||||
\(297\) | 3.00000 | − | 1.73205i | 0.174078 | − | 0.100504i | ||||
\(298\) | −24.0000 | −1.39028 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 5.00000 | 0.288675 | ||||||||
\(301\) | 12.0000 | − | 6.92820i | 0.691669 | − | 0.399335i | ||||
\(302\) | 9.00000 | + | 15.5885i | 0.517892 | + | 0.897015i | ||||
\(303\) | 3.00000 | − | 5.19615i | 0.172345 | − | 0.298511i | ||||
\(304\) | − | 17.3205i | − | 0.993399i | ||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 9.00000 | + | 5.19615i | 0.514496 | + | 0.297044i | ||||
\(307\) | − | 10.3923i | − | 0.593120i | −0.955014 | − | 0.296560i | \(-0.904160\pi\) | ||
0.955014 | − | 0.296560i | \(-0.0958395\pi\) | |||||||
\(308\) | −6.00000 | + | 10.3923i | −0.341882 | + | 0.592157i | ||||
\(309\) | 4.00000 | + | 6.92820i | 0.227552 | + | 0.394132i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.0000 | 0.565233 | 0.282617 | − | 0.959233i | \(-0.408798\pi\) | ||||
0.282617 | + | 0.959233i | \(0.408798\pi\) | |||||||
\(314\) | 21.0000 | − | 12.1244i | 1.18510 | − | 0.684217i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.00000 | + | 6.92820i | −0.225018 | + | 0.389742i | ||||
\(317\) | 13.8564i | 0.778253i | 0.921184 | + | 0.389127i | \(0.127223\pi\) | ||||
−0.921184 | + | 0.389127i | \(0.872777\pi\) | |||||||
\(318\) | 9.00000 | + | 5.19615i | 0.504695 | + | 0.291386i | ||||
\(319\) | 18.0000 | + | 10.3923i | 1.00781 | + | 0.581857i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 6.00000 | − | 10.3923i | 0.334887 | − | 0.580042i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −18.0000 | + | 10.3923i | −1.00155 | + | 0.578243i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −6.00000 | −0.332309 | ||||||||
\(327\) | −6.00000 | + | 3.46410i | −0.331801 | + | 0.191565i | ||||
\(328\) | −6.00000 | − | 10.3923i | −0.331295 | − | 0.573819i | ||||
\(329\) | −6.00000 | + | 10.3923i | −0.330791 | + | 0.572946i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.00000 | − | 1.73205i | −0.164895 | − | 0.0952021i | 0.415282 | − | 0.909693i | \(-0.363683\pi\) |
−0.580176 | + | 0.814491i | \(0.697016\pi\) | |||||||
\(332\) | −3.00000 | − | 1.73205i | −0.164646 | − | 0.0950586i | ||||
\(333\) | 6.92820i | 0.379663i | ||||||||
\(334\) | 15.0000 | − | 25.9808i | 0.820763 | − | 1.42160i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −15.0000 | + | 8.66025i | −0.818317 | + | 0.472456i | ||||
\(337\) | −14.0000 | −0.762629 | −0.381314 | − | 0.924445i | \(-0.624528\pi\) | ||||
−0.381314 | + | 0.924445i | \(0.624528\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 6.00000 | 0.325875 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.00000 | + | 10.3923i | 0.324918 | + | 0.562775i | ||||
\(342\) | 3.00000 | − | 5.19615i | 0.162221 | − | 0.280976i | ||||
\(343\) | − | 6.92820i | − | 0.374088i | ||||||
\(344\) | 6.00000 | + | 3.46410i | 0.323498 | + | 0.186772i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | − | 31.1769i | − | 1.67608i | ||||||
\(347\) | −18.0000 | + | 31.1769i | −0.966291 | + | 1.67366i | −0.260184 | + | 0.965559i | \(0.583783\pi\) |
−0.706107 | + | 0.708105i | \(0.749550\pi\) | |||||||
\(348\) | −3.00000 | − | 5.19615i | −0.160817 | − | 0.278543i | ||||
\(349\) | −6.00000 | + | 3.46410i | −0.321173 | + | 0.185429i | −0.651915 | − | 0.758292i | \(-0.726034\pi\) |
0.330743 | + | 0.943721i | \(0.392701\pi\) | |||||||
\(350\) | 30.0000 | 1.60357 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −18.0000 | −0.959403 | ||||||||
\(353\) | 30.0000 | − | 17.3205i | 1.59674 | − | 0.921878i | 0.604629 | − | 0.796507i | \(-0.293321\pi\) |
0.992110 | − | 0.125370i | \(-0.0400119\pi\) | |||||||
\(354\) | −9.00000 | − | 15.5885i | −0.478345 | − | 0.828517i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 6.92820i | 0.367194i | ||||||||
\(357\) | 18.0000 | + | 10.3923i | 0.952661 | + | 0.550019i | ||||
\(358\) | 18.0000 | + | 10.3923i | 0.951330 | + | 0.549250i | ||||
\(359\) | 17.3205i | 0.914141i | 0.889430 | + | 0.457071i | \(0.151101\pi\) | ||||
−0.889430 | + | 0.457071i | \(0.848899\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.50000 | − | 6.06218i | −0.184211 | − | 0.319062i | ||||
\(362\) | −15.0000 | + | 8.66025i | −0.788382 | + | 0.455173i | ||||
\(363\) | 1.00000 | 0.0524864 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 3.00000 | − | 1.73205i | 0.156813 | − | 0.0905357i | ||||
\(367\) | 8.00000 | + | 13.8564i | 0.417597 | + | 0.723299i | 0.995697 | − | 0.0926670i | \(-0.0295392\pi\) |
−0.578101 | + | 0.815966i | \(0.696206\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 6.92820i | − | 0.360668i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 18.0000 | + | 10.3923i | 0.934513 | + | 0.539542i | ||||
\(372\) | − | 3.46410i | − | 0.179605i | ||||||
\(373\) | −11.0000 | + | 19.0526i | −0.569558 | + | 0.986504i | 0.427051 | + | 0.904227i | \(0.359552\pi\) |
−0.996610 | + | 0.0822766i | \(0.973781\pi\) | |||||||
\(374\) | 18.0000 | + | 31.1769i | 0.930758 | + | 1.61212i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.00000 | −0.309426 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −6.00000 | −0.308607 | ||||||||
\(379\) | 15.0000 | − | 8.66025i | 0.770498 | − | 0.444847i | −0.0625541 | − | 0.998042i | \(-0.519925\pi\) |
0.833052 | + | 0.553194i | \(0.186591\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.00000 | + | 6.92820i | −0.204926 | + | 0.354943i | ||||
\(382\) | 41.5692i | 2.12687i | ||||||||
\(383\) | −3.00000 | − | 1.73205i | −0.153293 | − | 0.0885037i | 0.421392 | − | 0.906879i | \(-0.361542\pi\) |
−0.574684 | + | 0.818375i | \(0.694875\pi\) | |||||||
\(384\) | −10.5000 | − | 6.06218i | −0.535826 | − | 0.309359i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.00000 | + | 3.46410i | 0.101666 | + | 0.176090i | ||||
\(388\) | 12.0000 | − | 6.92820i | 0.609208 | − | 0.351726i | ||||
\(389\) | −18.0000 | −0.912636 | −0.456318 | − | 0.889817i | \(-0.650832\pi\) | ||||
−0.456318 | + | 0.889817i | \(0.650832\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −7.50000 | + | 4.33013i | −0.378807 | + | 0.218704i | ||||
\(393\) | −6.00000 | − | 10.3923i | −0.302660 | − | 0.524222i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −3.00000 | − | 1.73205i | −0.150756 | − | 0.0870388i | ||||
\(397\) | 30.0000 | + | 17.3205i | 1.50566 | + | 0.869291i | 0.999978 | + | 0.00656933i | \(0.00209110\pi\) |
0.505678 | + | 0.862722i | \(0.331242\pi\) | |||||||
\(398\) | 27.7128i | 1.38912i | ||||||||
\(399\) | 6.00000 | − | 10.3923i | 0.300376 | − | 0.520266i | ||||
\(400\) | 12.5000 | + | 21.6506i | 0.625000 | + | 1.08253i | ||||
\(401\) | 6.00000 | − | 3.46410i | 0.299626 | − | 0.172989i | −0.342649 | − | 0.939463i | \(-0.611324\pi\) |
0.642275 | + | 0.766475i | \(0.277991\pi\) | |||||||
\(402\) | −18.0000 | −0.897758 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −6.00000 | −0.298511 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −18.0000 | − | 31.1769i | −0.893325 | − | 1.54728i | ||||
\(407\) | −12.0000 | + | 20.7846i | −0.594818 | + | 1.03025i | ||||
\(408\) | 10.3923i | 0.514496i | ||||||||
\(409\) | −24.0000 | − | 13.8564i | −1.18672 | − | 0.685155i | −0.229163 | − | 0.973388i | \(-0.573599\pi\) |
−0.957560 | + | 0.288233i | \(0.906932\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 20.7846i | 1.02523i | ||||||||
\(412\) | 4.00000 | − | 6.92820i | 0.197066 | − | 0.341328i | ||||
\(413\) | −18.0000 | − | 31.1769i | −0.885722 | − | 1.53412i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 4.00000 | 0.195881 | ||||||||
\(418\) | 18.0000 | − | 10.3923i | 0.880409 | − | 0.508304i | ||||
\(419\) | 6.00000 | + | 10.3923i | 0.293119 | + | 0.507697i | 0.974546 | − | 0.224189i | \(-0.0719734\pi\) |
−0.681426 | + | 0.731887i | \(0.738640\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 34.6410i | − | 1.68830i | −0.536107 | − | 0.844150i | \(-0.680106\pi\) | ||
0.536107 | − | 0.844150i | \(-0.319894\pi\) | |||||||
\(422\) | 30.0000 | + | 17.3205i | 1.46038 | + | 0.843149i | ||||
\(423\) | −3.00000 | − | 1.73205i | −0.145865 | − | 0.0842152i | ||||
\(424\) | 10.3923i | 0.504695i | ||||||||
\(425\) | 15.0000 | − | 25.9808i | 0.727607 | − | 1.26025i | ||||
\(426\) | −3.00000 | − | 5.19615i | −0.145350 | − | 0.251754i | ||||
\(427\) | 6.00000 | − | 3.46410i | 0.290360 | − | 0.167640i | ||||
\(428\) | −12.0000 | −0.580042 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −21.0000 | + | 12.1244i | −1.01153 | + | 0.584010i | −0.911641 | − | 0.410988i | \(-0.865184\pi\) |
−0.0998939 | + | 0.994998i | \(0.531850\pi\) | |||||||
\(432\) | −2.50000 | − | 4.33013i | −0.120281 | − | 0.208333i | ||||
\(433\) | −17.0000 | + | 29.4449i | −0.816968 | + | 1.41503i | 0.0909384 | + | 0.995857i | \(0.471013\pi\) |
−0.907906 | + | 0.419173i | \(0.862320\pi\) | |||||||
\(434\) | − | 20.7846i | − | 0.997693i | ||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.00000 | + | 3.46410i | 0.287348 | + | 0.165900i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.00000 | − | 6.92820i | −0.190910 | − | 0.330665i | 0.754642 | − | 0.656136i | \(-0.227810\pi\) |
−0.945552 | + | 0.325471i | \(0.894477\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −5.00000 | −0.238095 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −36.0000 | −1.71041 | −0.855206 | − | 0.518289i | \(-0.826569\pi\) | ||||
−0.855206 | + | 0.518289i | \(0.826569\pi\) | |||||||
\(444\) | 6.00000 | − | 3.46410i | 0.284747 | − | 0.164399i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −3.00000 | + | 5.19615i | −0.142054 | + | 0.246045i | ||||
\(447\) | − | 13.8564i | − | 0.655386i | ||||||
\(448\) | −3.00000 | − | 1.73205i | −0.141737 | − | 0.0818317i | ||||
\(449\) | −6.00000 | − | 3.46410i | −0.283158 | − | 0.163481i | 0.351694 | − | 0.936115i | \(-0.385606\pi\) |
−0.634852 | + | 0.772634i | \(0.718939\pi\) | |||||||
\(450\) | 8.66025i | 0.408248i | ||||||||
\(451\) | 12.0000 | − | 20.7846i | 0.565058 | − | 0.978709i | ||||
\(452\) | −3.00000 | − | 5.19615i | −0.141108 | − | 0.244406i | ||||
\(453\) | −9.00000 | + | 5.19615i | −0.422857 | + | 0.244137i | ||||
\(454\) | 30.0000 | 1.40797 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 6.00000 | 0.280976 | ||||||||
\(457\) | −24.0000 | + | 13.8564i | −1.12267 | + | 0.648175i | −0.942082 | − | 0.335383i | \(-0.891134\pi\) |
−0.180591 | + | 0.983558i | \(0.557801\pi\) | |||||||
\(458\) | −6.00000 | − | 10.3923i | −0.280362 | − | 0.485601i | ||||
\(459\) | −3.00000 | + | 5.19615i | −0.140028 | + | 0.242536i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 12.0000 | + | 6.92820i | 0.558896 | + | 0.322679i | 0.752702 | − | 0.658361i | \(-0.228750\pi\) |
−0.193806 | + | 0.981040i | \(0.562083\pi\) | |||||||
\(462\) | −18.0000 | − | 10.3923i | −0.837436 | − | 0.483494i | ||||
\(463\) | − | 17.3205i | − | 0.804952i | −0.915430 | − | 0.402476i | \(-0.868150\pi\) | ||
0.915430 | − | 0.402476i | \(-0.131850\pi\) | |||||||
\(464\) | 15.0000 | − | 25.9808i | 0.696358 | − | 1.20613i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.00000 | + | 5.19615i | −0.416917 | + | 0.240707i | ||||
\(467\) | 12.0000 | 0.555294 | 0.277647 | − | 0.960683i | \(-0.410445\pi\) | ||||
0.277647 | + | 0.960683i | \(0.410445\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −36.0000 | −1.66233 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 7.00000 | + | 12.1244i | 0.322543 | + | 0.558661i | ||||
\(472\) | 9.00000 | − | 15.5885i | 0.414259 | − | 0.717517i | ||||
\(473\) | 13.8564i | 0.637118i | ||||||||
\(474\) | −12.0000 | − | 6.92820i | −0.551178 | − | 0.318223i | ||||
\(475\) | −15.0000 | − | 8.66025i | −0.688247 | − | 0.397360i | ||||
\(476\) | − | 20.7846i | − | 0.952661i | ||||||
\(477\) | −3.00000 | + | 5.19615i | −0.137361 | + | 0.237915i | ||||
\(478\) | −9.00000 | − | 15.5885i | −0.411650 | − | 0.712999i | ||||
\(479\) | −9.00000 | + | 5.19615i | −0.411220 | + | 0.237418i | −0.691314 | − | 0.722554i | \(-0.742968\pi\) |
0.280094 | + | 0.959973i | \(0.409635\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −24.0000 | −1.09317 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.500000 | − | 0.866025i | −0.0227273 | − | 0.0393648i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | − | 1.73205i | − | 0.0785674i | ||||||
\(487\) | −33.0000 | − | 19.0526i | −1.49537 | − | 0.863354i | −0.495387 | − | 0.868672i | \(-0.664974\pi\) |
−0.999986 | + | 0.00531860i | \(0.998307\pi\) | |||||||
\(488\) | 3.00000 | + | 1.73205i | 0.135804 | + | 0.0784063i | ||||
\(489\) | − | 3.46410i | − | 0.156652i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 6.00000 | + | 10.3923i | 0.270776 | + | 0.468998i | 0.969061 | − | 0.246822i | \(-0.0793863\pi\) |
−0.698285 | + | 0.715820i | \(0.746053\pi\) | |||||||
\(492\) | −6.00000 | + | 3.46410i | −0.270501 | + | 0.156174i | ||||
\(493\) | −36.0000 | −1.62136 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 15.0000 | − | 8.66025i | 0.673520 | − | 0.388857i | ||||
\(497\) | −6.00000 | − | 10.3923i | −0.269137 | − | 0.466159i | ||||
\(498\) | 3.00000 | − | 5.19615i | 0.134433 | − | 0.232845i | ||||
\(499\) | − | 10.3923i | − | 0.465223i | −0.972570 | − | 0.232612i | \(-0.925273\pi\) | ||
0.972570 | − | 0.232612i | \(-0.0747271\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 15.0000 | + | 8.66025i | 0.670151 | + | 0.386912i | ||||
\(502\) | − | 20.7846i | − | 0.927663i | ||||||
\(503\) | −12.0000 | + | 20.7846i | −0.535054 | + | 0.926740i | 0.464107 | + | 0.885779i | \(0.346375\pi\) |
−0.999161 | + | 0.0409609i | \(0.986958\pi\) | |||||||
\(504\) | −3.00000 | − | 5.19615i | −0.133631 | − | 0.231455i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 8.00000 | 0.354943 | ||||||||
\(509\) | −36.0000 | + | 20.7846i | −1.59567 | + | 0.921262i | −0.603364 | + | 0.797466i | \(0.706173\pi\) |
−0.992308 | + | 0.123796i | \(0.960493\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 8.66025i | 0.382733i | ||||||||
\(513\) | 3.00000 | + | 1.73205i | 0.132453 | + | 0.0764719i | ||||
\(514\) | −27.0000 | − | 15.5885i | −1.19092 | − | 0.687577i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 2.00000 | − | 3.46410i | 0.0880451 | − | 0.152499i | ||||
\(517\) | −6.00000 | − | 10.3923i | −0.263880 | − | 0.457053i | ||||
\(518\) | 36.0000 | − | 20.7846i | 1.58175 | − | 0.913223i | ||||
\(519\) | 18.0000 | 0.790112 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 18.0000 | 0.788594 | 0.394297 | − | 0.918983i | \(-0.370988\pi\) | ||||
0.394297 | + | 0.918983i | \(0.370988\pi\) | |||||||
\(522\) | 9.00000 | − | 5.19615i | 0.393919 | − | 0.227429i | ||||
\(523\) | 2.00000 | + | 3.46410i | 0.0874539 | + | 0.151475i | 0.906434 | − | 0.422347i | \(-0.138794\pi\) |
−0.818980 | + | 0.573822i | \(0.805460\pi\) | |||||||
\(524\) | −6.00000 | + | 10.3923i | −0.262111 | + | 0.453990i | ||||
\(525\) | 17.3205i | 0.755929i | ||||||||
\(526\) | 36.0000 | + | 20.7846i | 1.56967 | + | 0.906252i | ||||
\(527\) | −18.0000 | − | 10.3923i | −0.784092 | − | 0.452696i | ||||
\(528\) | − | 17.3205i | − | 0.753778i | ||||||
\(529\) | 11.5000 | − | 19.9186i | 0.500000 | − | 0.866025i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 9.00000 | − | 5.19615i | 0.390567 | − | 0.225494i | ||||
\(532\) | −12.0000 | −0.520266 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −12.0000 | −0.519291 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −9.00000 | − | 15.5885i | −0.388741 | − | 0.673319i | ||||
\(537\) | −6.00000 | + | 10.3923i | −0.258919 | + | 0.448461i | ||||
\(538\) | 10.3923i | 0.448044i | ||||||||
\(539\) | −15.0000 | − | 8.66025i | −0.646096 | − | 0.373024i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.92820i | 0.297867i | 0.988847 | + | 0.148933i | \(0.0475840\pi\) | ||||
−0.988847 | + | 0.148933i | \(0.952416\pi\) | |||||||
\(542\) | 9.00000 | − | 15.5885i | 0.386583 | − | 0.669582i | ||||
\(543\) | −5.00000 | − | 8.66025i | −0.214571 | − | 0.371647i | ||||
\(544\) | 27.0000 | − | 15.5885i | 1.15762 | − | 0.668350i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 20.0000 | 0.855138 | 0.427569 | − | 0.903983i | \(-0.359370\pi\) | ||||
0.427569 | + | 0.903983i | \(0.359370\pi\) | |||||||
\(548\) | 18.0000 | − | 10.3923i | 0.768922 | − | 0.443937i | ||||
\(549\) | 1.00000 | + | 1.73205i | 0.0426790 | + | 0.0739221i | ||||
\(550\) | −15.0000 | + | 25.9808i | −0.639602 | + | 1.10782i | ||||
\(551\) | 20.7846i | 0.885454i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −24.0000 | − | 13.8564i | −1.02058 | − | 0.589234i | ||||
\(554\) | − | 17.3205i | − | 0.735878i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.00000 | − | 3.46410i | −0.0848189 | − | 0.146911i | ||||
\(557\) | 12.0000 | − | 6.92820i | 0.508456 | − | 0.293557i | −0.223743 | − | 0.974648i | \(-0.571827\pi\) |
0.732199 | + | 0.681091i | \(0.238494\pi\) | |||||||
\(558\) | 6.00000 | 0.254000 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −18.0000 | + | 10.3923i | −0.759961 | + | 0.438763i | ||||
\(562\) | 6.00000 | + | 10.3923i | 0.253095 | + | 0.438373i | ||||
\(563\) | 6.00000 | − | 10.3923i | 0.252870 | − | 0.437983i | −0.711445 | − | 0.702742i | \(-0.751959\pi\) |
0.964315 | + | 0.264758i | \(0.0852922\pi\) | |||||||
\(564\) | 3.46410i | 0.145865i | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −6.00000 | − | 3.46410i | −0.252199 | − | 0.145607i | ||||
\(567\) | − | 3.46410i | − | 0.145479i | ||||||
\(568\) | 3.00000 | − | 5.19615i | 0.125877 | − | 0.218026i | ||||
\(569\) | 3.00000 | + | 5.19615i | 0.125767 | + | 0.217834i | 0.922032 | − | 0.387113i | \(-0.126528\pi\) |
−0.796266 | + | 0.604947i | \(0.793194\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.00000 | 0.167395 | 0.0836974 | − | 0.996491i | \(-0.473327\pi\) | ||||
0.0836974 | + | 0.996491i | \(0.473327\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −24.0000 | −1.00261 | ||||||||
\(574\) | −36.0000 | + | 20.7846i | −1.50261 | + | 0.867533i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.500000 | − | 0.866025i | 0.0208333 | − | 0.0360844i | ||||
\(577\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(578\) | −28.5000 | − | 16.4545i | −1.18544 | − | 0.684416i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.00000 | − | 10.3923i | 0.248922 | − | 0.431145i | ||||
\(582\) | 12.0000 | + | 20.7846i | 0.497416 | + | 0.861550i | ||||
\(583\) | −18.0000 | + | 10.3923i | −0.745484 | + | 0.430405i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −48.0000 | −1.98286 | ||||||||
\(587\) | 9.00000 | − | 5.19615i | 0.371470 | − | 0.214468i | −0.302631 | − | 0.953108i | \(-0.597865\pi\) |
0.674100 | + | 0.738640i | \(0.264532\pi\) | |||||||
\(588\) | 2.50000 | + | 4.33013i | 0.103098 | + | 0.178571i | ||||
\(589\) | −6.00000 | + | 10.3923i | −0.247226 | + | 0.428207i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 30.0000 | + | 17.3205i | 1.23299 | + | 0.711868i | ||||
\(593\) | 6.92820i | 0.284507i | 0.989830 | + | 0.142254i | \(0.0454349\pi\) | ||||
−0.989830 | + | 0.142254i | \(0.954565\pi\) | |||||||
\(594\) | 3.00000 | − | 5.19615i | 0.123091 | − | 0.213201i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −12.0000 | + | 6.92820i | −0.491539 | + | 0.283790i | ||||
\(597\) | −16.0000 | −0.654836 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 24.0000 | 0.980613 | 0.490307 | − | 0.871550i | \(-0.336885\pi\) | ||||
0.490307 | + | 0.871550i | \(0.336885\pi\) | |||||||
\(600\) | −7.50000 | + | 4.33013i | −0.306186 | + | 0.176777i | ||||
\(601\) | −5.00000 | − | 8.66025i | −0.203954 | − | 0.353259i | 0.745845 | − | 0.666120i | \(-0.232046\pi\) |
−0.949799 | + | 0.312861i | \(0.898713\pi\) | |||||||
\(602\) | 12.0000 | − | 20.7846i | 0.489083 | − | 0.847117i | ||||
\(603\) | − | 10.3923i | − | 0.423207i | ||||||
\(604\) | 9.00000 | + | 5.19615i | 0.366205 | + | 0.211428i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | − | 10.3923i | − | 0.422159i | ||||||
\(607\) | −16.0000 | + | 27.7128i | −0.649420 | + | 1.12483i | 0.333842 | + | 0.942629i | \(0.391655\pi\) |
−0.983262 | + | 0.182199i | \(0.941678\pi\) | |||||||
\(608\) | −9.00000 | − | 15.5885i | −0.364998 | − | 0.632195i | ||||
\(609\) | 18.0000 | − | 10.3923i | 0.729397 | − | 0.421117i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 6.00000 | 0.242536 | ||||||||
\(613\) | −18.0000 | + | 10.3923i | −0.727013 | + | 0.419741i | −0.817328 | − | 0.576172i | \(-0.804546\pi\) |
0.0903153 | + | 0.995913i | \(0.471213\pi\) | |||||||
\(614\) | −9.00000 | − | 15.5885i | −0.363210 | − | 0.629099i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | − | 20.7846i | − | 0.837436i | ||||||
\(617\) | 6.00000 | + | 3.46410i | 0.241551 | + | 0.139459i | 0.615889 | − | 0.787833i | \(-0.288797\pi\) |
−0.374338 | + | 0.927292i | \(0.622130\pi\) | |||||||
\(618\) | 12.0000 | + | 6.92820i | 0.482711 | + | 0.278693i | ||||
\(619\) | 31.1769i | 1.25311i | 0.779379 | + | 0.626553i | \(0.215535\pi\) | ||||
−0.779379 | + | 0.626553i | \(0.784465\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −24.0000 | −0.961540 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 25.0000 | 1.00000 | ||||||||
\(626\) | 15.0000 | − | 8.66025i | 0.599521 | − | 0.346133i | ||||
\(627\) | 6.00000 | + | 10.3923i | 0.239617 | + | 0.415029i | ||||
\(628\) | 7.00000 | − | 12.1244i | 0.279330 | − | 0.483814i | ||||
\(629\) | − | 41.5692i | − | 1.65747i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −33.0000 | − | 19.0526i | −1.31371 | − | 0.758470i | −0.331001 | − | 0.943630i | \(-0.607386\pi\) |
−0.982708 | + | 0.185160i | \(0.940720\pi\) | |||||||
\(632\) | − | 13.8564i | − | 0.551178i | ||||||
\(633\) | −10.0000 | + | 17.3205i | −0.397464 | + | 0.688428i | ||||
\(634\) | 12.0000 | + | 20.7846i | 0.476581 | + | 0.825462i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 6.00000 | 0.237915 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 36.0000 | 1.42525 | ||||||||
\(639\) | 3.00000 | − | 1.73205i | 0.118678 | − | 0.0685189i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 3.00000 | − | 5.19615i | 0.118493 | − | 0.205236i | −0.800678 | − | 0.599095i | \(-0.795527\pi\) |
0.919171 | + | 0.393860i | \(0.128860\pi\) | |||||||
\(642\) | − | 20.7846i | − | 0.820303i | ||||||
\(643\) | 9.00000 | + | 5.19615i | 0.354925 | + | 0.204916i | 0.666852 | − | 0.745190i | \(-0.267641\pi\) |
−0.311927 | + | 0.950106i | \(0.600974\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −18.0000 | + | 31.1769i | −0.708201 | + | 1.22664i | ||||
\(647\) | 12.0000 | + | 20.7846i | 0.471769 | + | 0.817127i | 0.999478 | − | 0.0322975i | \(-0.0102824\pi\) |
−0.527710 | + | 0.849425i | \(0.676949\pi\) | |||||||
\(648\) | 1.50000 | − | 0.866025i | 0.0589256 | − | 0.0340207i | ||||
\(649\) | 36.0000 | 1.41312 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 12.0000 | 0.470317 | ||||||||
\(652\) | −3.00000 | + | 1.73205i | −0.117489 | + | 0.0678323i | ||||
\(653\) | −3.00000 | − | 5.19615i | −0.117399 | − | 0.203341i | 0.801337 | − | 0.598213i | \(-0.204122\pi\) |
−0.918736 | + | 0.394872i | \(0.870789\pi\) | |||||||
\(654\) | −6.00000 | + | 10.3923i | −0.234619 | + | 0.406371i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −30.0000 | − | 17.3205i | −1.17130 | − | 0.676252i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 20.7846i | 0.810268i | ||||||||
\(659\) | −6.00000 | + | 10.3923i | −0.233727 | + | 0.404827i | −0.958902 | − | 0.283738i | \(-0.908425\pi\) |
0.725175 | + | 0.688565i | \(0.241759\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.0000 | + | 10.3923i | −0.700119 | + | 0.404214i | −0.807392 | − | 0.590016i | \(-0.799121\pi\) |
0.107273 | + | 0.994230i | \(0.465788\pi\) | |||||||
\(662\) | −6.00000 | −0.233197 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 6.00000 | 0.232845 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 6.00000 | + | 10.3923i | 0.232495 | + | 0.402694i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | − | 17.3205i | − | 0.670151i | ||||||
\(669\) | −3.00000 | − | 1.73205i | −0.115987 | − | 0.0669650i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 6.92820i | 0.267460i | ||||||||
\(672\) | −9.00000 | + | 15.5885i | −0.347183 | + | 0.601338i | ||||
\(673\) | 23.0000 | + | 39.8372i | 0.886585 | + | 1.53561i | 0.843886 | + | 0.536522i | \(0.180262\pi\) |
0.0426985 | + | 0.999088i | \(0.486405\pi\) | |||||||
\(674\) | −21.0000 | + | 12.1244i | −0.808890 | + | 0.467013i | ||||
\(675\) | −5.00000 | −0.192450 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 6.00000 | 0.230599 | 0.115299 | − | 0.993331i | \(-0.463217\pi\) | ||||
0.115299 | + | 0.993331i | \(0.463217\pi\) | |||||||
\(678\) | 9.00000 | − | 5.19615i | 0.345643 | − | 0.199557i | ||||
\(679\) | 24.0000 | + | 41.5692i | 0.921035 | + | 1.59528i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 17.3205i | 0.663723i | ||||||||
\(682\) | 18.0000 | + | 10.3923i | 0.689256 | + | 0.397942i | ||||
\(683\) | 27.0000 | + | 15.5885i | 1.03313 | + | 0.596476i | 0.917879 | − | 0.396861i | \(-0.129901\pi\) |
0.115248 | + | 0.993337i | \(0.463234\pi\) | |||||||
\(684\) | − | 3.46410i | − | 0.132453i | ||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −6.00000 | − | 10.3923i | −0.229081 | − | 0.396780i | ||||
\(687\) | 6.00000 | − | 3.46410i | 0.228914 | − | 0.132164i | ||||
\(688\) | 20.0000 | 0.762493 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 39.0000 | − | 22.5167i | 1.48363 | − | 0.856574i | 0.483803 | − | 0.875177i | \(-0.339255\pi\) |
0.999827 | + | 0.0186028i | \(0.00592180\pi\) | |||||||
\(692\) | −9.00000 | − | 15.5885i | −0.342129 | − | 0.592584i | ||||
\(693\) | 6.00000 | − | 10.3923i | 0.227921 | − | 0.394771i | ||||
\(694\) | 62.3538i | 2.36692i | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 9.00000 | + | 5.19615i | 0.341144 | + | 0.196960i | ||||
\(697\) | 41.5692i | 1.57455i | ||||||||
\(698\) | −6.00000 | + | 10.3923i | −0.227103 | + | 0.393355i | ||||
\(699\) | −3.00000 | − | 5.19615i | −0.113470 | − | 0.196537i | ||||
\(700\) | 15.0000 | − | 8.66025i | 0.566947 | − | 0.327327i | ||||
\(701\) | −42.0000 | −1.58632 | −0.793159 | − | 0.609015i | \(-0.791565\pi\) | ||||
−0.793159 | + | 0.609015i | \(0.791565\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −24.0000 | −0.905177 | ||||||||
\(704\) | 3.00000 | − | 1.73205i | 0.113067 | − | 0.0652791i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 30.0000 | − | 51.9615i | 1.12906 | − | 1.95560i | ||||
\(707\) | − | 20.7846i | − | 0.781686i | ||||||
\(708\) | −9.00000 | − | 5.19615i | −0.338241 | − | 0.195283i | ||||
\(709\) | 6.00000 | + | 3.46410i | 0.225335 | + | 0.130097i | 0.608418 | − | 0.793617i | \(-0.291804\pi\) |
−0.383083 | + | 0.923714i | \(0.625138\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.00000 | − | 6.92820i | 0.150012 | − | 0.259828i | ||||
\(712\) | −6.00000 | − | 10.3923i | −0.224860 | − | 0.389468i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 36.0000 | 1.34727 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 12.0000 | 0.448461 | ||||||||
\(717\) | 9.00000 | − | 5.19615i | 0.336111 | − | 0.194054i | ||||
\(718\) | 15.0000 | + | 25.9808i | 0.559795 | + | 0.969593i | ||||
\(719\) | −12.0000 | + | 20.7846i | −0.447524 | + | 0.775135i | −0.998224 | − | 0.0595683i | \(-0.981028\pi\) |
0.550700 | + | 0.834703i | \(0.314361\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 24.0000 | + | 13.8564i | 0.893807 | + | 0.516040i | ||||
\(722\) | −10.5000 | − | 6.06218i | −0.390770 | − | 0.225611i | ||||
\(723\) | − | 13.8564i | − | 0.515325i | ||||||
\(724\) | −5.00000 | + | 8.66025i | −0.185824 | + | 0.321856i | ||||
\(725\) | −15.0000 | − | 25.9808i | −0.557086 | − | 0.964901i | ||||
\(726\) | 1.50000 | − | 0.866025i | 0.0556702 | − | 0.0321412i | ||||
\(727\) | 16.0000 | 0.593407 | 0.296704 | − | 0.954970i | \(-0.404113\pi\) | ||||
0.296704 | + | 0.954970i | \(0.404113\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −12.0000 | − | 20.7846i | −0.443836 | − | 0.768747i | ||||
\(732\) | 1.00000 | − | 1.73205i | 0.0369611 | − | 0.0640184i | ||||
\(733\) | 34.6410i | 1.27950i | 0.768585 | + | 0.639748i | \(0.220961\pi\) | ||||
−0.768585 | + | 0.639748i | \(0.779039\pi\) | |||||||
\(734\) | 24.0000 | + | 13.8564i | 0.885856 | + | 0.511449i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 18.0000 | − | 31.1769i | 0.663039 | − | 1.14842i | ||||
\(738\) | −6.00000 | − | 10.3923i | −0.220863 | − | 0.382546i | ||||
\(739\) | −33.0000 | + | 19.0526i | −1.21392 | + | 0.700860i | −0.963612 | − | 0.267305i | \(-0.913867\pi\) |
−0.250313 | + | 0.968165i | \(0.580533\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 36.0000 | 1.32160 | ||||||||
\(743\) | 3.00000 | − | 1.73205i | 0.110059 | − | 0.0635428i | −0.443960 | − | 0.896047i | \(-0.646427\pi\) |
0.554019 | + | 0.832504i | \(0.313093\pi\) | |||||||
\(744\) | 3.00000 | + | 5.19615i | 0.109985 | + | 0.190500i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 38.1051i | 1.39513i | ||||||||
\(747\) | 3.00000 | + | 1.73205i | 0.109764 | + | 0.0633724i | ||||
\(748\) | 18.0000 | + | 10.3923i | 0.658145 | + | 0.379980i | ||||
\(749\) | − | 41.5692i | − | 1.51891i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.0000 | − | 27.7128i | −0.583848 | − | 1.01125i | −0.995018 | − | 0.0996961i | \(-0.968213\pi\) |
0.411170 | − | 0.911559i | \(-0.365120\pi\) | |||||||
\(752\) | −15.0000 | + | 8.66025i | −0.546994 | + | 0.315807i | ||||
\(753\) | 12.0000 | 0.437304 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −3.00000 | + | 1.73205i | −0.109109 | + | 0.0629941i | ||||
\(757\) | −11.0000 | − | 19.0526i | −0.399802 | − | 0.692477i | 0.593899 | − | 0.804539i | \(-0.297588\pi\) |
−0.993701 | + | 0.112062i | \(0.964254\pi\) | |||||||
\(758\) | 15.0000 | − | 25.9808i | 0.544825 | − | 0.943664i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 42.0000 | + | 24.2487i | 1.52250 | + | 0.879015i | 0.999646 | + | 0.0265919i | \(0.00846546\pi\) |
0.522852 | + | 0.852423i | \(0.324868\pi\) | |||||||
\(762\) | 13.8564i | 0.501965i | ||||||||
\(763\) | −12.0000 | + | 20.7846i | −0.434429 | + | 0.752453i | ||||
\(764\) | 12.0000 | + | 20.7846i | 0.434145 | + | 0.751961i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −6.00000 | −0.216789 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −19.0000 | −0.685603 | ||||||||
\(769\) | 24.0000 | − | 13.8564i | 0.865462 | − | 0.499675i | −0.000375472 | − | 1.00000i | \(-0.500120\pi\) |
0.865838 | + | 0.500325i | \(0.166786\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 9.00000 | − | 15.5885i | 0.324127 | − | 0.561405i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 12.0000 | + | 6.92820i | 0.431610 | + | 0.249190i | 0.700032 | − | 0.714111i | \(-0.253169\pi\) |
−0.268422 | + | 0.963301i | \(0.586502\pi\) | |||||||
\(774\) | 6.00000 | + | 3.46410i | 0.215666 | + | 0.124515i | ||||
\(775\) | − | 17.3205i | − | 0.622171i | ||||||
\(776\) | −12.0000 | + | 20.7846i | −0.430775 | + | 0.746124i | ||||
\(777\) | 12.0000 | + | 20.7846i | 0.430498 | + | 0.745644i | ||||
\(778\) | −27.0000 | + | 15.5885i | −0.967997 | + | 0.558873i | ||||
\(779\) | 24.0000 | 0.859889 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 12.0000 | 0.429394 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3.00000 | + | 5.19615i | 0.107211 | + | 0.185695i | ||||
\(784\) | −12.5000 | + | 21.6506i | −0.446429 | + | 0.773237i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −18.0000 | − | 10.3923i | −0.642039 | − | 0.370681i | ||||
\(787\) | 9.00000 | + | 5.19615i | 0.320815 | + | 0.185223i | 0.651756 | − | 0.758429i | \(-0.274033\pi\) |
−0.330941 | + | 0.943652i | \(0.607366\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −12.0000 | + | 20.7846i | −0.427211 | + | 0.739952i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 18.0000 | − | 10.3923i | 0.640006 | − | 0.369508i | ||||
\(792\) | 6.00000 | 0.213201 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 60.0000 | 2.12932 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8.00000 | + | 13.8564i | 0.283552 | + | 0.491127i | ||||
\(797\) | 21.0000 | − | 36.3731i | 0.743858 | − | 1.28840i | −0.206868 | − | 0.978369i | \(-0.566327\pi\) |
0.950726 | − | 0.310031i | \(-0.100340\pi\) | |||||||
\(798\) | − | 20.7846i | − | 0.735767i | ||||||
\(799\) | 18.0000 | + | 10.3923i | 0.636794 | + | 0.367653i | ||||
\(800\) | 22.5000 | + | 12.9904i | 0.795495 | + | 0.459279i | ||||
\(801\) | − | 6.92820i | − | 0.244796i | ||||||
\(802\) | 6.00000 | − | 10.3923i | 0.211867 | − | 0.366965i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −9.00000 | + | 5.19615i | −0.317406 | + | 0.183254i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −6.00000 | −0.211210 | ||||||||
\(808\) | 9.00000 | − | 5.19615i | 0.316619 | − | 0.182800i | ||||
\(809\) | 15.0000 | + | 25.9808i | 0.527372 | + | 0.913435i | 0.999491 | + | 0.0319002i | \(0.0101559\pi\) |
−0.472119 | + | 0.881535i | \(0.656511\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 38.1051i | − | 1.33805i | −0.743239 | − | 0.669026i | \(-0.766712\pi\) | ||
0.743239 | − | 0.669026i | \(-0.233288\pi\) | |||||||
\(812\) | −18.0000 | − | 10.3923i | −0.631676 | − | 0.364698i | ||||
\(813\) | 9.00000 | + | 5.19615i | 0.315644 | + | 0.182237i | ||||
\(814\) | 41.5692i | 1.45700i | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 15.0000 | + | 25.9808i | 0.525105 | + | 0.909509i | ||||
\(817\) | −12.0000 | + | 6.92820i | −0.419827 | + | 0.242387i | ||||
\(818\) | −48.0000 | −1.67828 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 12.0000 | − | 6.92820i | 0.418803 | − | 0.241796i | −0.275762 | − | 0.961226i | \(-0.588930\pi\) |
0.694565 | + | 0.719430i | \(0.255597\pi\) | |||||||
\(822\) | 18.0000 | + | 31.1769i | 0.627822 | + | 1.08742i | ||||
\(823\) | 20.0000 | − | 34.6410i | 0.697156 | − | 1.20751i | −0.272292 | − | 0.962215i | \(-0.587782\pi\) |
0.969448 | − | 0.245295i | \(-0.0788849\pi\) | |||||||
\(824\) | 13.8564i | 0.482711i | ||||||||
\(825\) | −15.0000 | − | 8.66025i | −0.522233 | − | 0.301511i | ||||
\(826\) | −54.0000 | − | 31.1769i | −1.87890 | − | 1.08478i | ||||
\(827\) | 24.2487i | 0.843210i | 0.906780 | + | 0.421605i | \(0.138533\pi\) | ||||
−0.906780 | + | 0.421605i | \(0.861467\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.00000 | + | 1.73205i | 0.0347314 | + | 0.0601566i | 0.882869 | − | 0.469620i | \(-0.155609\pi\) |
−0.848137 | + | 0.529777i | \(0.822276\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 10.0000 | 0.346896 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 30.0000 | 1.03944 | ||||||||
\(834\) | 6.00000 | − | 3.46410i | 0.207763 | − | 0.119952i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 6.00000 | − | 10.3923i | 0.207514 | − | 0.359425i | ||||
\(837\) | 3.46410i | 0.119737i | ||||||||
\(838\) | 18.0000 | + | 10.3923i | 0.621800 | + | 0.358996i | ||||
\(839\) | −3.00000 | − | 1.73205i | −0.103572 | − | 0.0597970i | 0.447320 | − | 0.894374i | \(-0.352379\pi\) |
−0.550891 | + | 0.834577i | \(0.685712\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.50000 | + | 6.06218i | −0.120690 | + | 0.209041i | ||||
\(842\) | −30.0000 | − | 51.9615i | −1.03387 | − | 1.79071i | ||||
\(843\) | −6.00000 | + | 3.46410i | −0.206651 | + | 0.119310i | ||||
\(844\) | 20.0000 | 0.688428 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −6.00000 | −0.206284 | ||||||||
\(847\) | 3.00000 | − | 1.73205i | 0.103081 | − | 0.0595140i | ||||
\(848\) | 15.0000 | + | 25.9808i | 0.515102 | + | 0.892183i | ||||
\(849\) | 2.00000 | − | 3.46410i | 0.0686398 | − | 0.118888i | ||||
\(850\) | − | 51.9615i | − | 1.78227i | ||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | −3.00000 | − | 1.73205i | −0.102778 | − | 0.0593391i | ||||
\(853\) | − | 20.7846i | − | 0.711651i | −0.934552 | − | 0.355826i | \(-0.884200\pi\) | ||
0.934552 | − | 0.355826i | \(-0.115800\pi\) | |||||||
\(854\) | 6.00000 | − | 10.3923i | 0.205316 | − | 0.355617i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 18.0000 | − | 10.3923i | 0.615227 | − | 0.355202i | ||||
\(857\) | 42.0000 | 1.43469 | 0.717346 | − | 0.696717i | \(-0.245357\pi\) | ||||
0.717346 | + | 0.696717i | \(0.245357\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.00000 | 0.136478 | 0.0682391 | − | 0.997669i | \(-0.478262\pi\) | ||||
0.0682391 | + | 0.997669i | \(0.478262\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −12.0000 | − | 20.7846i | −0.408959 | − | 0.708338i | ||||
\(862\) | −21.0000 | + | 36.3731i | −0.715263 | + | 1.23887i | ||||
\(863\) | 31.1769i | 1.06127i | 0.847599 | + | 0.530637i | \(0.178047\pi\) | ||||
−0.847599 | + | 0.530637i | \(0.821953\pi\) | |||||||
\(864\) | −4.50000 | − | 2.59808i | −0.153093 | − | 0.0883883i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 58.8897i | 2.00115i | ||||||||
\(867\) | 9.50000 | − | 16.4545i | 0.322637 | − | 0.558824i | ||||
\(868\) | −6.00000 | − | 10.3923i | −0.203653 | − | 0.352738i | ||||
\(869\) | 24.0000 | − | 13.8564i | 0.814144 | − | 0.470046i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −12.0000 | −0.406371 | ||||||||
\(873\) | −12.0000 | + | 6.92820i | −0.406138 | + | 0.234484i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −42.0000 | − | 24.2487i | −1.41824 | − | 0.818821i | −0.422095 | − | 0.906552i | \(-0.638705\pi\) |
−0.996144 | + | 0.0877308i | \(0.972038\pi\) | |||||||
\(878\) | −12.0000 | − | 6.92820i | −0.404980 | − | 0.233816i | ||||
\(879\) | − | 27.7128i | − | 0.934730i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −9.00000 | − | 15.5885i | −0.303218 | − | 0.525188i | 0.673645 | − | 0.739055i | \(-0.264728\pi\) |
−0.976863 | + | 0.213866i | \(0.931394\pi\) | |||||||
\(882\) | −7.50000 | + | 4.33013i | −0.252538 | + | 0.145803i | ||||
\(883\) | −20.0000 | −0.673054 | −0.336527 | − | 0.941674i | \(-0.609252\pi\) | ||||
−0.336527 | + | 0.941674i | \(0.609252\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −54.0000 | + | 31.1769i | −1.81417 | + | 1.04741i | ||||
\(887\) | −24.0000 | − | 41.5692i | −0.805841 | − | 1.39576i | −0.915722 | − | 0.401813i | \(-0.868380\pi\) |
0.109881 | − | 0.993945i | \(-0.464953\pi\) | |||||||
\(888\) | −6.00000 | + | 10.3923i | −0.201347 | + | 0.348743i | ||||
\(889\) | 27.7128i | 0.929458i | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 3.00000 | + | 1.73205i | 0.100504 | + | 0.0580259i | ||||
\(892\) | 3.46410i | 0.115987i | ||||||||
\(893\) | 6.00000 | − | 10.3923i | 0.200782 | − | 0.347765i | ||||
\(894\) | −12.0000 | − | 20.7846i | −0.401340 | − | 0.695141i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −42.0000 | −1.40312 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −12.0000 | −0.400445 | ||||||||
\(899\) | −18.0000 | + | 10.3923i | −0.600334 | + | 0.346603i | ||||
\(900\) | 2.50000 | + | 4.33013i | 0.0833333 | + | 0.144338i | ||||
\(901\) | 18.0000 | − | 31.1769i | 0.599667 | − | 1.03865i | ||||
\(902\) | − | 41.5692i | − | 1.38410i | ||||||
\(903\) | 12.0000 | + | 6.92820i | 0.399335 | + | 0.230556i | ||||
\(904\) | 9.00000 | + | 5.19615i | 0.299336 | + | 0.172821i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −9.00000 | + | 15.5885i | −0.299005 | + | 0.517892i | ||||
\(907\) | 22.0000 | + | 38.1051i | 0.730498 | + | 1.26526i | 0.956671 | + | 0.291172i | \(0.0940453\pi\) |
−0.226173 | + | 0.974087i | \(0.572621\pi\) | |||||||
\(908\) | 15.0000 | − | 8.66025i | 0.497792 | − | 0.287401i | ||||
\(909\) | 6.00000 | 0.199007 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 24.0000 | 0.795155 | 0.397578 | − | 0.917568i | \(-0.369851\pi\) | ||||
0.397578 | + | 0.917568i | \(0.369851\pi\) | |||||||
\(912\) | 15.0000 | − | 8.66025i | 0.496700 | − | 0.286770i | ||||
\(913\) | 6.00000 | + | 10.3923i | 0.198571 | + | 0.343935i | ||||
\(914\) | −24.0000 | + | 41.5692i | −0.793849 | + | 1.37499i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −6.00000 | − | 3.46410i | −0.198246 | − | 0.114457i | ||||
\(917\) | −36.0000 | − | 20.7846i | −1.18882 | − | 0.686368i | ||||
\(918\) | 10.3923i | 0.342997i | ||||||||
\(919\) | 16.0000 | − | 27.7128i | 0.527791 | − | 0.914161i | −0.471684 | − | 0.881768i | \(-0.656354\pi\) |
0.999475 | − | 0.0323936i | \(-0.0103130\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 9.00000 | − | 5.19615i | 0.296560 | − | 0.171219i | ||||
\(922\) | 24.0000 | 0.790398 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −12.0000 | −0.394771 | ||||||||
\(925\) | 30.0000 | − | 17.3205i | 0.986394 | − | 0.569495i | ||||
\(926\) | −15.0000 | − | 25.9808i | −0.492931 | − | 0.853781i | ||||
\(927\) | −4.00000 | + | 6.92820i | −0.131377 | + | 0.227552i | ||||
\(928\) | − | 31.1769i | − | 1.02343i | ||||||
\(929\) | 18.0000 | + | 10.3923i | 0.590561 | + | 0.340960i | 0.765319 | − | 0.643651i | \(-0.222581\pi\) |
−0.174758 | + | 0.984611i | \(0.555914\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 17.3205i | − | 0.567657i | ||||||
\(932\) | −3.00000 | + | 5.19615i | −0.0982683 | + | 0.170206i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 18.0000 | − | 10.3923i | 0.588978 | − | 0.340047i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −38.0000 | −1.24141 | −0.620703 | − | 0.784046i | \(-0.713153\pi\) | ||||
−0.620703 | + | 0.784046i | \(0.713153\pi\) | |||||||
\(938\) | −54.0000 | + | 31.1769i | −1.76316 | + | 1.01796i | ||||
\(939\) | 5.00000 | + | 8.66025i | 0.163169 | + | 0.282617i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(942\) | 21.0000 | + | 12.1244i | 0.684217 | + | 0.395033i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | − | 51.9615i | − | 1.69120i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 12.0000 | + | 20.7846i | 0.390154 | + | 0.675766i | ||||
\(947\) | 45.0000 | − | 25.9808i | 1.46230 | − | 0.844261i | 0.463186 | − | 0.886261i | \(-0.346706\pi\) |
0.999118 | + | 0.0419998i | \(0.0133729\pi\) | |||||||
\(948\) | −8.00000 | −0.259828 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −30.0000 | −0.973329 | ||||||||
\(951\) | −12.0000 | + | 6.92820i | −0.389127 | + | 0.224662i | ||||
\(952\) | 18.0000 | + | 31.1769i | 0.583383 | + | 1.01045i | ||||
\(953\) | −21.0000 | + | 36.3731i | −0.680257 | + | 1.17824i | 0.294646 | + | 0.955607i | \(0.404798\pi\) |
−0.974902 | + | 0.222633i | \(0.928535\pi\) | |||||||
\(954\) | 10.3923i | 0.336463i | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −9.00000 | − | 5.19615i | −0.291081 | − | 0.168056i | ||||
\(957\) | 20.7846i | 0.671871i | ||||||||
\(958\) | −9.00000 | + | 15.5885i | −0.290777 | + | 0.503640i | ||||
\(959\) | 36.0000 | + | 62.3538i | 1.16250 | + | 2.01351i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 19.0000 | 0.612903 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 12.0000 | 0.386695 | ||||||||
\(964\) | −12.0000 | + | 6.92820i | −0.386494 | + | 0.223142i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.3923i | 0.334194i | 0.985940 | + | 0.167097i | \(0.0534393\pi\) | ||||
−0.985940 | + | 0.167097i | \(0.946561\pi\) | |||||||
\(968\) | 1.50000 | + | 0.866025i | 0.0482118 | + | 0.0278351i | ||||
\(969\) | −18.0000 | − | 10.3923i | −0.578243 | − | 0.333849i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 6.00000 | − | 10.3923i | 0.192549 | − | 0.333505i | −0.753545 | − | 0.657396i | \(-0.771658\pi\) |
0.946094 | + | 0.323891i | \(0.104991\pi\) | |||||||
\(972\) | −0.500000 | − | 0.866025i | −0.0160375 | − | 0.0277778i | ||||
\(973\) | 12.0000 | − | 6.92820i | 0.384702 | − | 0.222108i | ||||
\(974\) | −66.0000 | −2.11478 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 10.0000 | 0.320092 | ||||||||
\(977\) | 42.0000 | − | 24.2487i | 1.34370 | − | 0.775785i | 0.356351 | − | 0.934352i | \(-0.384021\pi\) |
0.987348 | + | 0.158567i | \(0.0506875\pi\) | |||||||
\(978\) | −3.00000 | − | 5.19615i | −0.0959294 | − | 0.166155i | ||||
\(979\) | 12.0000 | − | 20.7846i | 0.383522 | − | 0.664279i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −6.00000 | − | 3.46410i | −0.191565 | − | 0.110600i | ||||
\(982\) | 18.0000 | + | 10.3923i | 0.574403 | + | 0.331632i | ||||
\(983\) | − | 51.9615i | − | 1.65732i | −0.559756 | − | 0.828658i | \(-0.689105\pi\) | ||
0.559756 | − | 0.828658i | \(-0.310895\pi\) | |||||||
\(984\) | 6.00000 | − | 10.3923i | 0.191273 | − | 0.331295i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −54.0000 | + | 31.1769i | −1.71971 | + | 0.992875i | ||||
\(987\) | −12.0000 | −0.381964 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −16.0000 | − | 27.7128i | −0.508257 | − | 0.880327i | −0.999954 | − | 0.00956046i | \(-0.996957\pi\) |
0.491698 | − | 0.870766i | \(-0.336377\pi\) | |||||||
\(992\) | 9.00000 | − | 15.5885i | 0.285750 | − | 0.494934i | ||||
\(993\) | − | 3.46410i | − | 0.109930i | ||||||
\(994\) | −18.0000 | − | 10.3923i | −0.570925 | − | 0.329624i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | − | 3.46410i | − | 0.109764i | ||||||
\(997\) | −19.0000 | + | 32.9090i | −0.601736 | + | 1.04224i | 0.390822 | + | 0.920466i | \(0.372191\pi\) |
−0.992558 | + | 0.121771i | \(0.961143\pi\) | |||||||
\(998\) | −9.00000 | − | 15.5885i | −0.284890 | − | 0.493444i | ||||
\(999\) | −6.00000 | + | 3.46410i | −0.189832 | + | 0.109599i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))