Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(865,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.865");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.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: | \(9.05503558921\) |
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: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 42) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 865.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.865 |
Dual form | 1134.2.e.p.919.1 |
$q$-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 \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 1.50000 | − | 2.59808i | 0.670820 | − | 1.16190i | −0.306851 | − | 0.951757i | \(-0.599275\pi\) |
0.977672 | − | 0.210138i | \(-0.0673912\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.500000 | + | 2.59808i | −0.188982 | + | 0.981981i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.50000 | − | 2.59808i | 0.474342 | − | 0.821584i | ||||
\(11\) | 1.50000 | + | 2.59808i | 0.452267 | + | 0.783349i | 0.998526 | − | 0.0542666i | \(-0.0172821\pi\) |
−0.546259 | + | 0.837616i | \(0.683949\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.00000 | + | 3.46410i | 0.554700 | + | 0.960769i | 0.997927 | + | 0.0643593i | \(0.0205004\pi\) |
−0.443227 | + | 0.896410i | \(0.646166\pi\) | |||||||
\(14\) | −0.500000 | + | 2.59808i | −0.133631 | + | 0.694365i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.00000 | + | 3.46410i | 0.458831 | + | 0.794719i | 0.998899 | − | 0.0469020i | \(-0.0149348\pi\) |
−0.540068 | + | 0.841621i | \(0.681602\pi\) | |||||||
\(20\) | 1.50000 | − | 2.59808i | 0.335410 | − | 0.580948i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.50000 | + | 2.59808i | 0.319801 | + | 0.553912i | ||||
\(23\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.00000 | − | 3.46410i | −0.400000 | − | 0.692820i | ||||
\(26\) | 2.00000 | + | 3.46410i | 0.392232 | + | 0.679366i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.500000 | + | 2.59808i | −0.0944911 | + | 0.490990i | ||||
\(29\) | 4.50000 | − | 7.79423i | 0.835629 | − | 1.44735i | −0.0578882 | − | 0.998323i | \(-0.518437\pi\) |
0.893517 | − | 0.449029i | \(-0.148230\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.00000 | −0.179605 | −0.0898027 | − | 0.995960i | \(-0.528624\pi\) | ||||
−0.0898027 | + | 0.995960i | \(0.528624\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 6.00000 | + | 5.19615i | 1.01419 | + | 0.878310i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.00000 | − | 6.92820i | −0.657596 | − | 1.13899i | −0.981236 | − | 0.192809i | \(-0.938240\pi\) |
0.323640 | − | 0.946180i | \(-0.395093\pi\) | |||||||
\(38\) | 2.00000 | + | 3.46410i | 0.324443 | + | 0.561951i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.50000 | − | 2.59808i | 0.237171 | − | 0.410792i | ||||
\(41\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.00000 | − | 8.66025i | 0.762493 | − | 1.32068i | −0.179069 | − | 0.983836i | \(-0.557309\pi\) |
0.941562 | − | 0.336840i | \(-0.109358\pi\) | |||||||
\(44\) | 1.50000 | + | 2.59808i | 0.226134 | + | 0.391675i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 6.00000 | 0.875190 | 0.437595 | − | 0.899172i | \(-0.355830\pi\) | ||||
0.437595 | + | 0.899172i | \(0.355830\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.50000 | − | 2.59808i | −0.928571 | − | 0.371154i | ||||
\(50\) | −2.00000 | − | 3.46410i | −0.282843 | − | 0.489898i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.00000 | + | 3.46410i | 0.277350 | + | 0.480384i | ||||
\(53\) | −1.50000 | + | 2.59808i | −0.206041 | + | 0.356873i | −0.950464 | − | 0.310835i | \(-0.899391\pi\) |
0.744423 | + | 0.667708i | \(0.232725\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 9.00000 | 1.21356 | ||||||||
\(56\) | −0.500000 | + | 2.59808i | −0.0668153 | + | 0.347183i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.50000 | − | 7.79423i | 0.590879 | − | 1.02343i | ||||
\(59\) | −3.00000 | −0.390567 | −0.195283 | − | 0.980747i | \(-0.562563\pi\) | ||||
−0.195283 | + | 0.980747i | \(0.562563\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −10.0000 | −1.28037 | −0.640184 | − | 0.768221i | \(-0.721142\pi\) | ||||
−0.640184 | + | 0.768221i | \(0.721142\pi\) | |||||||
\(62\) | −1.00000 | −0.127000 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 12.0000 | 1.48842 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −10.0000 | −1.22169 | −0.610847 | − | 0.791748i | \(-0.709171\pi\) | ||||
−0.610847 | + | 0.791748i | \(0.709171\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 6.00000 | + | 5.19615i | 0.717137 | + | 0.621059i | ||||
\(71\) | 6.00000 | 0.712069 | 0.356034 | − | 0.934473i | \(-0.384129\pi\) | ||||
0.356034 | + | 0.934473i | \(0.384129\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.00000 | + | 1.73205i | −0.117041 | + | 0.202721i | −0.918594 | − | 0.395203i | \(-0.870674\pi\) |
0.801553 | + | 0.597924i | \(0.204008\pi\) | |||||||
\(74\) | −4.00000 | − | 6.92820i | −0.464991 | − | 0.805387i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.00000 | + | 3.46410i | 0.229416 | + | 0.397360i | ||||
\(77\) | −7.50000 | + | 2.59808i | −0.854704 | + | 0.296078i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.00000 | −0.112509 | −0.0562544 | − | 0.998416i | \(-0.517916\pi\) | ||||
−0.0562544 | + | 0.998416i | \(0.517916\pi\) | |||||||
\(80\) | 1.50000 | − | 2.59808i | 0.167705 | − | 0.290474i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −4.50000 | + | 7.79423i | −0.493939 | + | 0.855528i | −0.999976 | − | 0.00698436i | \(-0.997777\pi\) |
0.506036 | + | 0.862512i | \(0.331110\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 5.00000 | − | 8.66025i | 0.539164 | − | 0.933859i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.50000 | + | 2.59808i | 0.159901 | + | 0.276956i | ||||
\(89\) | 3.00000 | + | 5.19615i | 0.317999 | + | 0.550791i | 0.980071 | − | 0.198650i | \(-0.0636557\pi\) |
−0.662071 | + | 0.749441i | \(0.730322\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −10.0000 | + | 3.46410i | −1.04828 | + | 0.363137i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 6.00000 | 0.618853 | ||||||||
\(95\) | 12.0000 | 1.23117 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.500000 | − | 0.866025i | 0.0507673 | − | 0.0879316i | −0.839525 | − | 0.543321i | \(-0.817167\pi\) |
0.890292 | + | 0.455389i | \(0.150500\pi\) | |||||||
\(98\) | −6.50000 | − | 2.59808i | −0.656599 | − | 0.262445i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.00000 | − | 3.46410i | −0.200000 | − | 0.346410i | ||||
\(101\) | −9.00000 | − | 15.5885i | −0.895533 | − | 1.55111i | −0.833143 | − | 0.553058i | \(-0.813461\pi\) |
−0.0623905 | − | 0.998052i | \(-0.519872\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.00000 | + | 6.92820i | −0.394132 | + | 0.682656i | −0.992990 | − | 0.118199i | \(-0.962288\pi\) |
0.598858 | + | 0.800855i | \(0.295621\pi\) | |||||||
\(104\) | 2.00000 | + | 3.46410i | 0.196116 | + | 0.339683i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.50000 | + | 2.59808i | −0.145693 | + | 0.252347i | ||||
\(107\) | −1.50000 | − | 2.59808i | −0.145010 | − | 0.251166i | 0.784366 | − | 0.620298i | \(-0.212988\pi\) |
−0.929377 | + | 0.369132i | \(0.879655\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.00000 | + | 12.1244i | −0.670478 | + | 1.16130i | 0.307290 | + | 0.951616i | \(0.400578\pi\) |
−0.977769 | + | 0.209687i | \(0.932756\pi\) | |||||||
\(110\) | 9.00000 | 0.858116 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.500000 | + | 2.59808i | −0.0472456 | + | 0.245495i | ||||
\(113\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 4.50000 | − | 7.79423i | 0.417815 | − | 0.723676i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.00000 | −0.276172 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | − | 1.73205i | 0.0909091 | − | 0.157459i | ||||
\(122\) | −10.0000 | −0.905357 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.00000 | −0.0898027 | ||||||||
\(125\) | 3.00000 | 0.268328 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.00000 | 0.443678 | 0.221839 | − | 0.975083i | \(-0.428794\pi\) | ||||
0.221839 | + | 0.975083i | \(0.428794\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 12.0000 | 1.05247 | ||||||||
\(131\) | −4.50000 | + | 7.79423i | −0.393167 | + | 0.680985i | −0.992865 | − | 0.119241i | \(-0.961954\pi\) |
0.599699 | + | 0.800226i | \(0.295287\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −10.0000 | + | 3.46410i | −0.867110 | + | 0.300376i | ||||
\(134\) | −10.0000 | −0.863868 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 9.00000 | + | 15.5885i | 0.768922 | + | 1.33181i | 0.938148 | + | 0.346235i | \(0.112540\pi\) |
−0.169226 | + | 0.985577i | \(0.554127\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.00000 | − | 1.73205i | −0.0848189 | − | 0.146911i | 0.820495 | − | 0.571654i | \(-0.193698\pi\) |
−0.905314 | + | 0.424743i | \(0.860365\pi\) | |||||||
\(140\) | 6.00000 | + | 5.19615i | 0.507093 | + | 0.439155i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.00000 | 0.503509 | ||||||||
\(143\) | −6.00000 | + | 10.3923i | −0.501745 | + | 0.869048i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −13.5000 | − | 23.3827i | −1.12111 | − | 1.94183i | ||||
\(146\) | −1.00000 | + | 1.73205i | −0.0827606 | + | 0.143346i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.00000 | − | 6.92820i | −0.328798 | − | 0.569495i | ||||
\(149\) | 9.00000 | − | 15.5885i | 0.737309 | − | 1.27706i | −0.216394 | − | 0.976306i | \(-0.569430\pi\) |
0.953703 | − | 0.300750i | \(-0.0972370\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.500000 | + | 0.866025i | 0.0406894 | + | 0.0704761i | 0.885653 | − | 0.464348i | \(-0.153711\pi\) |
−0.844963 | + | 0.534824i | \(0.820378\pi\) | |||||||
\(152\) | 2.00000 | + | 3.46410i | 0.162221 | + | 0.280976i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −7.50000 | + | 2.59808i | −0.604367 | + | 0.209359i | ||||
\(155\) | −1.50000 | + | 2.59808i | −0.120483 | + | 0.208683i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.00000 | −0.319235 | −0.159617 | − | 0.987179i | \(-0.551026\pi\) | ||||
−0.159617 | + | 0.987179i | \(0.551026\pi\) | |||||||
\(158\) | −1.00000 | −0.0795557 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.50000 | − | 2.59808i | 0.118585 | − | 0.205396i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.00000 | + | 13.8564i | 0.626608 | + | 1.08532i | 0.988227 | + | 0.152992i | \(0.0488907\pi\) |
−0.361619 | + | 0.932326i | \(0.617776\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.50000 | + | 7.79423i | −0.349268 | + | 0.604949i | ||||
\(167\) | 3.00000 | + | 5.19615i | 0.232147 | + | 0.402090i | 0.958440 | − | 0.285295i | \(-0.0920916\pi\) |
−0.726293 | + | 0.687386i | \(0.758758\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.50000 | + | 2.59808i | −0.115385 | + | 0.199852i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.00000 | − | 8.66025i | 0.381246 | − | 0.660338i | ||||
\(173\) | −18.0000 | −1.36851 | −0.684257 | − | 0.729241i | \(-0.739873\pi\) | ||||
−0.684257 | + | 0.729241i | \(0.739873\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 10.0000 | − | 3.46410i | 0.755929 | − | 0.261861i | ||||
\(176\) | 1.50000 | + | 2.59808i | 0.113067 | + | 0.195837i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.00000 | + | 5.19615i | 0.224860 | + | 0.389468i | ||||
\(179\) | 6.00000 | − | 10.3923i | 0.448461 | − | 0.776757i | −0.549825 | − | 0.835280i | \(-0.685306\pi\) |
0.998286 | + | 0.0585225i | \(0.0186389\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.00000 | 0.594635 | 0.297318 | − | 0.954779i | \(-0.403908\pi\) | ||||
0.297318 | + | 0.954779i | \(0.403908\pi\) | |||||||
\(182\) | −10.0000 | + | 3.46410i | −0.741249 | + | 0.256776i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −24.0000 | −1.76452 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 6.00000 | 0.437595 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 12.0000 | 0.870572 | ||||||||
\(191\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −19.0000 | −1.36765 | −0.683825 | − | 0.729646i | \(-0.739685\pi\) | ||||
−0.683825 | + | 0.729646i | \(0.739685\pi\) | |||||||
\(194\) | 0.500000 | − | 0.866025i | 0.0358979 | − | 0.0621770i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.50000 | − | 2.59808i | −0.464286 | − | 0.185577i | ||||
\(197\) | −6.00000 | −0.427482 | −0.213741 | − | 0.976890i | \(-0.568565\pi\) | ||||
−0.213741 | + | 0.976890i | \(0.568565\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.0000 | + | 17.3205i | −0.708881 | + | 1.22782i | 0.256391 | + | 0.966573i | \(0.417466\pi\) |
−0.965272 | + | 0.261245i | \(0.915867\pi\) | |||||||
\(200\) | −2.00000 | − | 3.46410i | −0.141421 | − | 0.244949i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.00000 | − | 15.5885i | −0.633238 | − | 1.09680i | ||||
\(203\) | 18.0000 | + | 15.5885i | 1.26335 | + | 1.09410i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −4.00000 | + | 6.92820i | −0.278693 | + | 0.482711i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.00000 | + | 3.46410i | 0.138675 | + | 0.240192i | ||||
\(209\) | −6.00000 | + | 10.3923i | −0.415029 | + | 0.718851i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.00000 | − | 12.1244i | −0.481900 | − | 0.834675i | 0.517884 | − | 0.855451i | \(-0.326720\pi\) |
−0.999784 | + | 0.0207756i | \(0.993386\pi\) | |||||||
\(212\) | −1.50000 | + | 2.59808i | −0.103020 | + | 0.178437i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.50000 | − | 2.59808i | −0.102538 | − | 0.177601i | ||||
\(215\) | −15.0000 | − | 25.9808i | −1.02299 | − | 1.77187i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.500000 | − | 2.59808i | 0.0339422 | − | 0.176369i | ||||
\(218\) | −7.00000 | + | 12.1244i | −0.474100 | + | 0.821165i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 9.00000 | 0.606780 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.50000 | − | 16.4545i | 0.636167 | − | 1.10187i | −0.350100 | − | 0.936713i | \(-0.613852\pi\) |
0.986267 | − | 0.165161i | \(-0.0528144\pi\) | |||||||
\(224\) | −0.500000 | + | 2.59808i | −0.0334077 | + | 0.173591i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −13.5000 | − | 23.3827i | −0.896026 | − | 1.55196i | −0.832529 | − | 0.553981i | \(-0.813108\pi\) |
−0.0634974 | − | 0.997982i | \(-0.520225\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.00000 | − | 3.46410i | 0.132164 | − | 0.228914i | −0.792347 | − | 0.610071i | \(-0.791141\pi\) |
0.924510 | + | 0.381157i | \(0.124474\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.50000 | − | 7.79423i | 0.295439 | − | 0.511716i | ||||
\(233\) | −12.0000 | − | 20.7846i | −0.786146 | − | 1.36165i | −0.928312 | − | 0.371802i | \(-0.878740\pi\) |
0.142166 | − | 0.989843i | \(-0.454593\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 9.00000 | − | 15.5885i | 0.587095 | − | 1.01688i | ||||
\(236\) | −3.00000 | −0.195283 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −12.0000 | − | 20.7846i | −0.776215 | − | 1.34444i | −0.934109 | − | 0.356988i | \(-0.883804\pi\) |
0.157893 | − | 0.987456i | \(-0.449530\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.500000 | + | 0.866025i | 0.0322078 | + | 0.0557856i | 0.881680 | − | 0.471848i | \(-0.156413\pi\) |
−0.849472 | + | 0.527633i | \(0.823079\pi\) | |||||||
\(242\) | 1.00000 | − | 1.73205i | 0.0642824 | − | 0.111340i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −10.0000 | −0.640184 | ||||||||
\(245\) | −16.5000 | + | 12.9904i | −1.05415 | + | 0.829925i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.00000 | + | 13.8564i | −0.509028 | + | 0.881662i | ||||
\(248\) | −1.00000 | −0.0635001 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.00000 | 0.189737 | ||||||||
\(251\) | −27.0000 | −1.70422 | −0.852112 | − | 0.523359i | \(-0.824679\pi\) | ||||
−0.852112 | + | 0.523359i | \(0.824679\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 5.00000 | 0.313728 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 3.00000 | − | 5.19615i | 0.187135 | − | 0.324127i | −0.757159 | − | 0.653231i | \(-0.773413\pi\) |
0.944294 | + | 0.329104i | \(0.106747\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 20.0000 | − | 6.92820i | 1.24274 | − | 0.430498i | ||||
\(260\) | 12.0000 | 0.744208 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.50000 | + | 7.79423i | −0.278011 | + | 0.481529i | ||||
\(263\) | −3.00000 | − | 5.19615i | −0.184988 | − | 0.320408i | 0.758585 | − | 0.651575i | \(-0.225891\pi\) |
−0.943572 | + | 0.331166i | \(0.892558\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.50000 | + | 7.79423i | 0.276433 | + | 0.478796i | ||||
\(266\) | −10.0000 | + | 3.46410i | −0.613139 | + | 0.212398i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.0000 | −0.610847 | ||||||||
\(269\) | 10.5000 | − | 18.1865i | 0.640196 | − | 1.10885i | −0.345192 | − | 0.938532i | \(-0.612186\pi\) |
0.985389 | − | 0.170321i | \(-0.0544803\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.50000 | − | 9.52628i | −0.334101 | − | 0.578680i | 0.649211 | − | 0.760609i | \(-0.275099\pi\) |
−0.983312 | + | 0.181928i | \(0.941766\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9.00000 | + | 15.5885i | 0.543710 | + | 0.941733i | ||||
\(275\) | 6.00000 | − | 10.3923i | 0.361814 | − | 0.626680i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.00000 | − | 6.92820i | −0.240337 | − | 0.416275i | 0.720473 | − | 0.693482i | \(-0.243925\pi\) |
−0.960810 | + | 0.277207i | \(0.910591\pi\) | |||||||
\(278\) | −1.00000 | − | 1.73205i | −0.0599760 | − | 0.103882i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.00000 | + | 5.19615i | 0.358569 | + | 0.310530i | ||||
\(281\) | 3.00000 | − | 5.19615i | 0.178965 | − | 0.309976i | −0.762561 | − | 0.646916i | \(-0.776058\pi\) |
0.941526 | + | 0.336939i | \(0.109392\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.0000 | 0.832214 | 0.416107 | − | 0.909316i | \(-0.363394\pi\) | ||||
0.416107 | + | 0.909316i | \(0.363394\pi\) | |||||||
\(284\) | 6.00000 | 0.356034 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.00000 | + | 10.3923i | −0.354787 | + | 0.614510i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.50000 | + | 14.7224i | 0.500000 | + | 0.866025i | ||||
\(290\) | −13.5000 | − | 23.3827i | −0.792747 | − | 1.37308i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.00000 | + | 1.73205i | −0.0585206 | + | 0.101361i | ||||
\(293\) | 16.5000 | + | 28.5788i | 0.963940 | + | 1.66959i | 0.712436 | + | 0.701737i | \(0.247592\pi\) |
0.251505 | + | 0.967856i | \(0.419075\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.50000 | + | 7.79423i | −0.262000 | + | 0.453798i | ||||
\(296\) | −4.00000 | − | 6.92820i | −0.232495 | − | 0.402694i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.00000 | − | 15.5885i | 0.521356 | − | 0.903015i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 20.0000 | + | 17.3205i | 1.15278 | + | 0.998337i | ||||
\(302\) | 0.500000 | + | 0.866025i | 0.0287718 | + | 0.0498342i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.00000 | + | 3.46410i | 0.114708 | + | 0.198680i | ||||
\(305\) | −15.0000 | + | 25.9808i | −0.858898 | + | 1.48765i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.00000 | 0.456584 | 0.228292 | − | 0.973593i | \(-0.426686\pi\) | ||||
0.228292 | + | 0.973593i | \(0.426686\pi\) | |||||||
\(308\) | −7.50000 | + | 2.59808i | −0.427352 | + | 0.148039i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.50000 | + | 2.59808i | −0.0851943 | + | 0.147561i | ||||
\(311\) | −24.0000 | −1.36092 | −0.680458 | − | 0.732787i | \(-0.738219\pi\) | ||||
−0.680458 | + | 0.732787i | \(0.738219\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −31.0000 | −1.75222 | −0.876112 | − | 0.482108i | \(-0.839871\pi\) | ||||
−0.876112 | + | 0.482108i | \(0.839871\pi\) | |||||||
\(314\) | −4.00000 | −0.225733 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.00000 | −0.0562544 | ||||||||
\(317\) | −9.00000 | −0.505490 | −0.252745 | − | 0.967533i | \(-0.581333\pi\) | ||||
−0.252745 | + | 0.967533i | \(0.581333\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 27.0000 | 1.51171 | ||||||||
\(320\) | 1.50000 | − | 2.59808i | 0.0838525 | − | 0.145237i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.00000 | − | 13.8564i | 0.443760 | − | 0.768615i | ||||
\(326\) | 8.00000 | + | 13.8564i | 0.443079 | + | 0.767435i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −3.00000 | + | 15.5885i | −0.165395 | + | 0.859419i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 20.0000 | 1.09930 | 0.549650 | − | 0.835395i | \(-0.314761\pi\) | ||||
0.549650 | + | 0.835395i | \(0.314761\pi\) | |||||||
\(332\) | −4.50000 | + | 7.79423i | −0.246970 | + | 0.427764i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.00000 | + | 5.19615i | 0.164153 | + | 0.284321i | ||||
\(335\) | −15.0000 | + | 25.9808i | −0.819538 | + | 1.41948i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.50000 | + | 6.06218i | 0.190657 | + | 0.330228i | 0.945468 | − | 0.325714i | \(-0.105605\pi\) |
−0.754811 | + | 0.655942i | \(0.772271\pi\) | |||||||
\(338\) | −1.50000 | + | 2.59808i | −0.0815892 | + | 0.141317i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.50000 | − | 2.59808i | −0.0812296 | − | 0.140694i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0000 | − | 15.5885i | 0.539949 | − | 0.841698i | ||||
\(344\) | 5.00000 | − | 8.66025i | 0.269582 | − | 0.466930i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −18.0000 | −0.967686 | ||||||||
\(347\) | −12.0000 | −0.644194 | −0.322097 | − | 0.946707i | \(-0.604388\pi\) | ||||
−0.322097 | + | 0.946707i | \(0.604388\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −13.0000 | + | 22.5167i | −0.695874 | + | 1.20529i | 0.274011 | + | 0.961727i | \(0.411649\pi\) |
−0.969885 | + | 0.243563i | \(0.921684\pi\) | |||||||
\(350\) | 10.0000 | − | 3.46410i | 0.534522 | − | 0.185164i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.50000 | + | 2.59808i | 0.0799503 | + | 0.138478i | ||||
\(353\) | 12.0000 | + | 20.7846i | 0.638696 | + | 1.10625i | 0.985719 | + | 0.168397i | \(0.0538590\pi\) |
−0.347024 | + | 0.937856i | \(0.612808\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 9.00000 | − | 15.5885i | 0.477670 | − | 0.827349i | ||||
\(356\) | 3.00000 | + | 5.19615i | 0.159000 | + | 0.275396i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6.00000 | − | 10.3923i | 0.317110 | − | 0.549250i | ||||
\(359\) | 15.0000 | + | 25.9808i | 0.791670 | + | 1.37121i | 0.924932 | + | 0.380131i | \(0.124121\pi\) |
−0.133263 | + | 0.991081i | \(0.542545\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.50000 | − | 2.59808i | 0.0789474 | − | 0.136741i | ||||
\(362\) | 8.00000 | 0.420471 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −10.0000 | + | 3.46410i | −0.524142 | + | 0.181568i | ||||
\(365\) | 3.00000 | + | 5.19615i | 0.157027 | + | 0.271979i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.50000 | + | 16.4545i | 0.495896 | + | 0.858917i | 0.999989 | − | 0.00473247i | \(-0.00150640\pi\) |
−0.504093 | + | 0.863649i | \(0.668173\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −24.0000 | −1.24770 | ||||||||
\(371\) | −6.00000 | − | 5.19615i | −0.311504 | − | 0.269771i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.00000 | + | 6.92820i | −0.207112 | + | 0.358729i | −0.950804 | − | 0.309794i | \(-0.899740\pi\) |
0.743691 | + | 0.668523i | \(0.233073\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.00000 | 0.309426 | ||||||||
\(377\) | 36.0000 | 1.85409 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.00000 | 0.410932 | 0.205466 | − | 0.978664i | \(-0.434129\pi\) | ||||
0.205466 | + | 0.978664i | \(0.434129\pi\) | |||||||
\(380\) | 12.0000 | 0.615587 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 9.00000 | − | 15.5885i | 0.459879 | − | 0.796533i | −0.539076 | − | 0.842257i | \(-0.681226\pi\) |
0.998954 | + | 0.0457244i | \(0.0145596\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.50000 | + | 23.3827i | −0.229341 | + | 1.19169i | ||||
\(386\) | −19.0000 | −0.967075 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.500000 | − | 0.866025i | 0.0253837 | − | 0.0439658i | ||||
\(389\) | −3.00000 | − | 5.19615i | −0.152106 | − | 0.263455i | 0.779895 | − | 0.625910i | \(-0.215272\pi\) |
−0.932002 | + | 0.362454i | \(0.881939\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −6.50000 | − | 2.59808i | −0.328300 | − | 0.131223i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.00000 | −0.302276 | ||||||||
\(395\) | −1.50000 | + | 2.59808i | −0.0754732 | + | 0.130723i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.00000 | + | 3.46410i | 0.100377 | + | 0.173858i | 0.911840 | − | 0.410546i | \(-0.134662\pi\) |
−0.811463 | + | 0.584404i | \(0.801328\pi\) | |||||||
\(398\) | −10.0000 | + | 17.3205i | −0.501255 | + | 0.868199i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.00000 | − | 3.46410i | −0.100000 | − | 0.173205i | ||||
\(401\) | 12.0000 | − | 20.7846i | 0.599251 | − | 1.03793i | −0.393680 | − | 0.919247i | \(-0.628798\pi\) |
0.992932 | − | 0.118686i | \(-0.0378683\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.00000 | − | 3.46410i | −0.0996271 | − | 0.172559i | ||||
\(404\) | −9.00000 | − | 15.5885i | −0.447767 | − | 0.775555i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 18.0000 | + | 15.5885i | 0.893325 | + | 0.773642i | ||||
\(407\) | 12.0000 | − | 20.7846i | 0.594818 | − | 1.03025i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −25.0000 | −1.23617 | −0.618085 | − | 0.786111i | \(-0.712091\pi\) | ||||
−0.618085 | + | 0.786111i | \(0.712091\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.00000 | + | 6.92820i | −0.197066 | + | 0.341328i | ||||
\(413\) | 1.50000 | − | 7.79423i | 0.0738102 | − | 0.383529i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 13.5000 | + | 23.3827i | 0.662689 | + | 1.14781i | ||||
\(416\) | 2.00000 | + | 3.46410i | 0.0980581 | + | 0.169842i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −6.00000 | + | 10.3923i | −0.293470 | + | 0.508304i | ||||
\(419\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.0000 | − | 19.0526i | 0.536107 | − | 0.928565i | −0.463002 | − | 0.886357i | \(-0.653228\pi\) |
0.999109 | − | 0.0422075i | \(-0.0134391\pi\) | |||||||
\(422\) | −7.00000 | − | 12.1244i | −0.340755 | − | 0.590204i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.50000 | + | 2.59808i | −0.0728464 | + | 0.126174i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.00000 | − | 25.9808i | 0.241967 | − | 1.25730i | ||||
\(428\) | −1.50000 | − | 2.59808i | −0.0725052 | − | 0.125583i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −15.0000 | − | 25.9808i | −0.723364 | − | 1.25290i | ||||
\(431\) | 6.00000 | − | 10.3923i | 0.289010 | − | 0.500580i | −0.684564 | − | 0.728953i | \(-0.740007\pi\) |
0.973574 | + | 0.228373i | \(0.0733406\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −34.0000 | −1.63394 | −0.816968 | − | 0.576683i | \(-0.804347\pi\) | ||||
−0.816968 | + | 0.576683i | \(0.804347\pi\) | |||||||
\(434\) | 0.500000 | − | 2.59808i | 0.0240008 | − | 0.124712i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −7.00000 | + | 12.1244i | −0.335239 | + | 0.580651i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 35.0000 | 1.67046 | 0.835229 | − | 0.549902i | \(-0.185335\pi\) | ||||
0.835229 | + | 0.549902i | \(0.185335\pi\) | |||||||
\(440\) | 9.00000 | 0.429058 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 33.0000 | 1.56788 | 0.783939 | − | 0.620838i | \(-0.213208\pi\) | ||||
0.783939 | + | 0.620838i | \(0.213208\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 18.0000 | 0.853282 | ||||||||
\(446\) | 9.50000 | − | 16.4545i | 0.449838 | − | 0.779142i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.500000 | + | 2.59808i | −0.0236228 | + | 0.122748i | ||||
\(449\) | −12.0000 | −0.566315 | −0.283158 | − | 0.959073i | \(-0.591382\pi\) | ||||
−0.283158 | + | 0.959073i | \(0.591382\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −13.5000 | − | 23.3827i | −0.633586 | − | 1.09740i | ||||
\(455\) | −6.00000 | + | 31.1769i | −0.281284 | + | 1.46160i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.00000 | −0.0467780 | −0.0233890 | − | 0.999726i | \(-0.507446\pi\) | ||||
−0.0233890 | + | 0.999726i | \(0.507446\pi\) | |||||||
\(458\) | 2.00000 | − | 3.46410i | 0.0934539 | − | 0.161867i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 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 | ||||||||
\(463\) | −4.00000 | − | 6.92820i | −0.185896 | − | 0.321981i | 0.757982 | − | 0.652275i | \(-0.226185\pi\) |
−0.943878 | + | 0.330294i | \(0.892852\pi\) | |||||||
\(464\) | 4.50000 | − | 7.79423i | 0.208907 | − | 0.361838i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −12.0000 | − | 20.7846i | −0.555889 | − | 0.962828i | ||||
\(467\) | 18.0000 | + | 31.1769i | 0.832941 | + | 1.44270i | 0.895696 | + | 0.444667i | \(0.146678\pi\) |
−0.0627555 | + | 0.998029i | \(0.519989\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.00000 | − | 25.9808i | 0.230879 | − | 1.19968i | ||||
\(470\) | 9.00000 | − | 15.5885i | 0.415139 | − | 0.719042i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.00000 | −0.138086 | ||||||||
\(473\) | 30.0000 | 1.37940 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 8.00000 | − | 13.8564i | 0.367065 | − | 0.635776i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −12.0000 | − | 20.7846i | −0.548867 | − | 0.950666i | ||||
\(479\) | −9.00000 | − | 15.5885i | −0.411220 | − | 0.712255i | 0.583803 | − | 0.811895i | \(-0.301564\pi\) |
−0.995023 | + | 0.0996406i | \(0.968231\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 16.0000 | − | 27.7128i | 0.729537 | − | 1.26360i | ||||
\(482\) | 0.500000 | + | 0.866025i | 0.0227744 | + | 0.0394464i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.00000 | − | 1.73205i | 0.0454545 | − | 0.0787296i | ||||
\(485\) | −1.50000 | − | 2.59808i | −0.0681115 | − | 0.117973i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −20.5000 | + | 35.5070i | −0.928944 | + | 1.60898i | −0.143851 | + | 0.989599i | \(0.545949\pi\) |
−0.785093 | + | 0.619378i | \(0.787385\pi\) | |||||||
\(488\) | −10.0000 | −0.452679 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −16.5000 | + | 12.9904i | −0.745394 | + | 0.586846i | ||||
\(491\) | −16.5000 | − | 28.5788i | −0.744635 | − | 1.28974i | −0.950365 | − | 0.311136i | \(-0.899290\pi\) |
0.205731 | − | 0.978609i | \(-0.434043\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −8.00000 | + | 13.8564i | −0.359937 | + | 0.623429i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.00000 | −0.0449013 | ||||||||
\(497\) | −3.00000 | + | 15.5885i | −0.134568 | + | 0.699238i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.00000 | + | 1.73205i | −0.0447661 | + | 0.0775372i | −0.887540 | − | 0.460730i | \(-0.847588\pi\) |
0.842774 | + | 0.538267i | \(0.180921\pi\) | |||||||
\(500\) | 3.00000 | 0.134164 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −27.0000 | −1.20507 | ||||||||
\(503\) | 12.0000 | 0.535054 | 0.267527 | − | 0.963550i | \(-0.413794\pi\) | ||||
0.267527 | + | 0.963550i | \(0.413794\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −54.0000 | −2.40297 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 5.00000 | 0.221839 | ||||||||
\(509\) | −1.50000 | + | 2.59808i | −0.0664863 | + | 0.115158i | −0.897352 | − | 0.441315i | \(-0.854512\pi\) |
0.830866 | + | 0.556473i | \(0.187846\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.00000 | − | 3.46410i | −0.176950 | − | 0.153243i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 3.00000 | − | 5.19615i | 0.132324 | − | 0.229192i | ||||
\(515\) | 12.0000 | + | 20.7846i | 0.528783 | + | 0.915879i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.00000 | + | 15.5885i | 0.395820 | + | 0.685580i | ||||
\(518\) | 20.0000 | − | 6.92820i | 0.878750 | − | 0.304408i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 12.0000 | 0.526235 | ||||||||
\(521\) | −9.00000 | + | 15.5885i | −0.394297 | + | 0.682943i | −0.993011 | − | 0.118020i | \(-0.962345\pi\) |
0.598714 | + | 0.800963i | \(0.295679\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.00000 | + | 3.46410i | 0.0874539 | + | 0.151475i | 0.906434 | − | 0.422347i | \(-0.138794\pi\) |
−0.818980 | + | 0.573822i | \(0.805460\pi\) | |||||||
\(524\) | −4.50000 | + | 7.79423i | −0.196583 | + | 0.340492i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.00000 | − | 5.19615i | −0.130806 | − | 0.226563i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.5000 | + | 19.9186i | 0.500000 | + | 0.866025i | ||||
\(530\) | 4.50000 | + | 7.79423i | 0.195468 | + | 0.338560i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −10.0000 | + | 3.46410i | −0.433555 | + | 0.150188i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −9.00000 | −0.389104 | ||||||||
\(536\) | −10.0000 | −0.431934 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 10.5000 | − | 18.1865i | 0.452687 | − | 0.784077i | ||||
\(539\) | −3.00000 | − | 20.7846i | −0.129219 | − | 0.895257i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −13.0000 | − | 22.5167i | −0.558914 | − | 0.968067i | −0.997587 | − | 0.0694205i | \(-0.977885\pi\) |
0.438674 | − | 0.898646i | \(-0.355448\pi\) | |||||||
\(542\) | −5.50000 | − | 9.52628i | −0.236245 | − | 0.409189i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 21.0000 | + | 36.3731i | 0.899541 | + | 1.55805i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.00000 | + | 6.92820i | −0.171028 | + | 0.296229i | −0.938779 | − | 0.344519i | \(-0.888042\pi\) |
0.767752 | + | 0.640747i | \(0.221375\pi\) | |||||||
\(548\) | 9.00000 | + | 15.5885i | 0.384461 | + | 0.665906i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 6.00000 | − | 10.3923i | 0.255841 | − | 0.443129i | ||||
\(551\) | 36.0000 | 1.53365 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.500000 | − | 2.59808i | 0.0212622 | − | 0.110481i | ||||
\(554\) | −4.00000 | − | 6.92820i | −0.169944 | − | 0.294351i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.00000 | − | 1.73205i | −0.0424094 | − | 0.0734553i | ||||
\(557\) | 1.50000 | − | 2.59808i | 0.0635570 | − | 0.110084i | −0.832496 | − | 0.554031i | \(-0.813089\pi\) |
0.896053 | + | 0.443947i | \(0.146422\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 40.0000 | 1.69182 | ||||||||
\(560\) | 6.00000 | + | 5.19615i | 0.253546 | + | 0.219578i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.00000 | − | 5.19615i | 0.126547 | − | 0.219186i | ||||
\(563\) | −39.0000 | −1.64365 | −0.821827 | − | 0.569737i | \(-0.807045\pi\) | ||||
−0.821827 | + | 0.569737i | \(0.807045\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 14.0000 | 0.588464 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 6.00000 | 0.251754 | ||||||||
\(569\) | 36.0000 | 1.50920 | 0.754599 | − | 0.656186i | \(-0.227831\pi\) | ||||
0.754599 | + | 0.656186i | \(0.227831\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −34.0000 | −1.42286 | −0.711428 | − | 0.702759i | \(-0.751951\pi\) | ||||
−0.711428 | + | 0.702759i | \(0.751951\pi\) | |||||||
\(572\) | −6.00000 | + | 10.3923i | −0.250873 | + | 0.434524i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −11.5000 | + | 19.9186i | −0.478751 | + | 0.829222i | −0.999703 | − | 0.0243645i | \(-0.992244\pi\) |
0.520952 | + | 0.853586i | \(0.325577\pi\) | |||||||
\(578\) | 8.50000 | + | 14.7224i | 0.353553 | + | 0.612372i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −13.5000 | − | 23.3827i | −0.560557 | − | 0.970913i | ||||
\(581\) | −18.0000 | − | 15.5885i | −0.746766 | − | 0.646718i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −9.00000 | −0.372742 | ||||||||
\(584\) | −1.00000 | + | 1.73205i | −0.0413803 | + | 0.0716728i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 16.5000 | + | 28.5788i | 0.681609 | + | 1.18058i | ||||
\(587\) | 10.5000 | − | 18.1865i | 0.433381 | − | 0.750639i | −0.563781 | − | 0.825925i | \(-0.690654\pi\) |
0.997162 | + | 0.0752860i | \(0.0239870\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.00000 | − | 3.46410i | −0.0824086 | − | 0.142736i | ||||
\(590\) | −4.50000 | + | 7.79423i | −0.185262 | + | 0.320883i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.00000 | − | 6.92820i | −0.164399 | − | 0.284747i | ||||
\(593\) | 12.0000 | + | 20.7846i | 0.492781 | + | 0.853522i | 0.999965 | − | 0.00831589i | \(-0.00264706\pi\) |
−0.507184 | + | 0.861838i | \(0.669314\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 9.00000 | − | 15.5885i | 0.368654 | − | 0.638528i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 18.0000 | 0.735460 | 0.367730 | − | 0.929933i | \(-0.380135\pi\) | ||||
0.367730 | + | 0.929933i | \(0.380135\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.50000 | + | 9.52628i | −0.224350 | + | 0.388585i | −0.956124 | − | 0.292962i | \(-0.905359\pi\) |
0.731774 | + | 0.681547i | \(0.238692\pi\) | |||||||
\(602\) | 20.0000 | + | 17.3205i | 0.815139 | + | 0.705931i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.500000 | + | 0.866025i | 0.0203447 | + | 0.0352381i | ||||
\(605\) | −3.00000 | − | 5.19615i | −0.121967 | − | 0.211254i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.50000 | − | 6.06218i | 0.142061 | − | 0.246056i | −0.786212 | − | 0.617957i | \(-0.787961\pi\) |
0.928272 | + | 0.371901i | \(0.121294\pi\) | |||||||
\(608\) | 2.00000 | + | 3.46410i | 0.0811107 | + | 0.140488i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −15.0000 | + | 25.9808i | −0.607332 | + | 1.05193i | ||||
\(611\) | 12.0000 | + | 20.7846i | 0.485468 | + | 0.840855i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.00000 | − | 13.8564i | 0.323117 | − | 0.559655i | −0.658012 | − | 0.753007i | \(-0.728603\pi\) |
0.981129 | + | 0.193352i | \(0.0619359\pi\) | |||||||
\(614\) | 8.00000 | 0.322854 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −7.50000 | + | 2.59808i | −0.302184 | + | 0.104679i | ||||
\(617\) | −3.00000 | − | 5.19615i | −0.120775 | − | 0.209189i | 0.799298 | − | 0.600935i | \(-0.205205\pi\) |
−0.920074 | + | 0.391745i | \(0.871871\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 17.0000 | + | 29.4449i | 0.683288 | + | 1.18349i | 0.973972 | + | 0.226670i | \(0.0727838\pi\) |
−0.290684 | + | 0.956819i | \(0.593883\pi\) | |||||||
\(620\) | −1.50000 | + | 2.59808i | −0.0602414 | + | 0.104341i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −24.0000 | −0.962312 | ||||||||
\(623\) | −15.0000 | + | 5.19615i | −0.600962 | + | 0.208179i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 14.5000 | − | 25.1147i | 0.580000 | − | 1.00459i | ||||
\(626\) | −31.0000 | −1.23901 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.00000 | −0.159617 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.00000 | −0.278666 | −0.139333 | − | 0.990246i | \(-0.544496\pi\) | ||||
−0.139333 | + | 0.990246i | \(0.544496\pi\) | |||||||
\(632\) | −1.00000 | −0.0397779 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −9.00000 | −0.357436 | ||||||||
\(635\) | 7.50000 | − | 12.9904i | 0.297628 | − | 0.515508i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.00000 | − | 27.7128i | −0.158486 | − | 1.09802i | ||||
\(638\) | 27.0000 | 1.06894 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.50000 | − | 2.59808i | 0.0592927 | − | 0.102698i | ||||
\(641\) | −15.0000 | − | 25.9808i | −0.592464 | − | 1.02618i | −0.993899 | − | 0.110291i | \(-0.964822\pi\) |
0.401435 | − | 0.915888i | \(-0.368512\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.0000 | + | 29.4449i | 0.670415 | + | 1.16119i | 0.977787 | + | 0.209603i | \(0.0672170\pi\) |
−0.307372 | + | 0.951589i | \(0.599450\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −9.00000 | + | 15.5885i | −0.353827 | + | 0.612845i | −0.986916 | − | 0.161233i | \(-0.948453\pi\) |
0.633090 | + | 0.774078i | \(0.281786\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −4.50000 | − | 7.79423i | −0.176640 | − | 0.305950i | ||||
\(650\) | 8.00000 | − | 13.8564i | 0.313786 | − | 0.543493i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 8.00000 | + | 13.8564i | 0.313304 | + | 0.542659i | ||||
\(653\) | 1.50000 | − | 2.59808i | 0.0586995 | − | 0.101671i | −0.835182 | − | 0.549973i | \(-0.814638\pi\) |
0.893882 | + | 0.448303i | \(0.147971\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 13.5000 | + | 23.3827i | 0.527489 | + | 0.913637i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.00000 | + | 15.5885i | −0.116952 | + | 0.607701i | ||||
\(659\) | −12.0000 | + | 20.7846i | −0.467454 | + | 0.809653i | −0.999309 | − | 0.0371821i | \(-0.988162\pi\) |
0.531855 | + | 0.846836i | \(0.321495\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.0000 | 0.544537 | 0.272268 | − | 0.962221i | \(-0.412226\pi\) | ||||
0.272268 | + | 0.962221i | \(0.412226\pi\) | |||||||
\(662\) | 20.0000 | 0.777322 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.50000 | + | 7.79423i | −0.174634 | + | 0.302475i | ||||
\(665\) | −6.00000 | + | 31.1769i | −0.232670 | + | 1.20899i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 3.00000 | + | 5.19615i | 0.116073 | + | 0.201045i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −15.0000 | + | 25.9808i | −0.579501 | + | 1.00372i | ||||
\(671\) | −15.0000 | − | 25.9808i | −0.579069 | − | 1.00298i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.5000 | + | 25.1147i | −0.558934 | + | 0.968102i | 0.438652 | + | 0.898657i | \(0.355456\pi\) |
−0.997586 | + | 0.0694449i | \(0.977877\pi\) | |||||||
\(674\) | 3.50000 | + | 6.06218i | 0.134815 | + | 0.233506i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.50000 | + | 2.59808i | −0.0576923 | + | 0.0999260i | ||||
\(677\) | 33.0000 | 1.26829 | 0.634147 | − | 0.773213i | \(-0.281352\pi\) | ||||
0.634147 | + | 0.773213i | \(0.281352\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.00000 | + | 1.73205i | 0.0767530 | + | 0.0664700i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.50000 | − | 2.59808i | −0.0574380 | − | 0.0994855i | ||||
\(683\) | 16.5000 | − | 28.5788i | 0.631355 | − | 1.09354i | −0.355920 | − | 0.934516i | \(-0.615832\pi\) |
0.987275 | − | 0.159022i | \(-0.0508342\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 54.0000 | 2.06323 | ||||||||
\(686\) | 10.0000 | − | 15.5885i | 0.381802 | − | 0.595170i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 5.00000 | − | 8.66025i | 0.190623 | − | 0.330169i | ||||
\(689\) | −12.0000 | −0.457164 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.00000 | 0.304334 | 0.152167 | − | 0.988355i | \(-0.451375\pi\) | ||||
0.152167 | + | 0.988355i | \(0.451375\pi\) | |||||||
\(692\) | −18.0000 | −0.684257 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.0000 | −0.455514 | ||||||||
\(695\) | −6.00000 | −0.227593 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −13.0000 | + | 22.5167i | −0.492057 | + | 0.852268i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 10.0000 | − | 3.46410i | 0.377964 | − | 0.130931i | ||||
\(701\) | 15.0000 | 0.566542 | 0.283271 | − | 0.959040i | \(-0.408580\pi\) | ||||
0.283271 | + | 0.959040i | \(0.408580\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 16.0000 | − | 27.7128i | 0.603451 | − | 1.04521i | ||||
\(704\) | 1.50000 | + | 2.59808i | 0.0565334 | + | 0.0979187i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 12.0000 | + | 20.7846i | 0.451626 | + | 0.782239i | ||||
\(707\) | 45.0000 | − | 15.5885i | 1.69240 | − | 0.586264i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −10.0000 | −0.375558 | −0.187779 | − | 0.982211i | \(-0.560129\pi\) | ||||
−0.187779 | + | 0.982211i | \(0.560129\pi\) | |||||||
\(710\) | 9.00000 | − | 15.5885i | 0.337764 | − | 0.585024i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.00000 | + | 5.19615i | 0.112430 | + | 0.194734i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 18.0000 | + | 31.1769i | 0.673162 | + | 1.16595i | ||||
\(716\) | 6.00000 | − | 10.3923i | 0.224231 | − | 0.388379i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 15.0000 | + | 25.9808i | 0.559795 | + | 0.969593i | ||||
\(719\) | −9.00000 | − | 15.5885i | −0.335643 | − | 0.581351i | 0.647965 | − | 0.761670i | \(-0.275620\pi\) |
−0.983608 | + | 0.180319i | \(0.942287\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −16.0000 | − | 13.8564i | −0.595871 | − | 0.516040i | ||||
\(722\) | 1.50000 | − | 2.59808i | 0.0558242 | − | 0.0966904i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 8.00000 | 0.297318 | ||||||||
\(725\) | −36.0000 | −1.33701 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.50000 | − | 11.2583i | 0.241072 | − | 0.417548i | −0.719948 | − | 0.694028i | \(-0.755834\pi\) |
0.961020 | + | 0.276479i | \(0.0891678\pi\) | |||||||
\(728\) | −10.0000 | + | 3.46410i | −0.370625 | + | 0.128388i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.00000 | + | 5.19615i | 0.111035 | + | 0.192318i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.00000 | − | 8.66025i | 0.184679 | − | 0.319874i | −0.758789 | − | 0.651336i | \(-0.774209\pi\) |
0.943468 | + | 0.331463i | \(0.107542\pi\) | |||||||
\(734\) | 9.50000 | + | 16.4545i | 0.350651 | + | 0.607346i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −15.0000 | − | 25.9808i | −0.552532 | − | 0.957014i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −25.0000 | + | 43.3013i | −0.919640 | + | 1.59286i | −0.119677 | + | 0.992813i | \(0.538186\pi\) |
−0.799962 | + | 0.600050i | \(0.795147\pi\) | |||||||
\(740\) | −24.0000 | −0.882258 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −6.00000 | − | 5.19615i | −0.220267 | − | 0.190757i | ||||
\(743\) | 21.0000 | + | 36.3731i | 0.770415 | + | 1.33440i | 0.937336 | + | 0.348428i | \(0.113284\pi\) |
−0.166920 | + | 0.985970i | \(0.553382\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −27.0000 | − | 46.7654i | −0.989203 | − | 1.71335i | ||||
\(746\) | −4.00000 | + | 6.92820i | −0.146450 | + | 0.253660i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 7.50000 | − | 2.59808i | 0.274044 | − | 0.0949316i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.50000 | − | 6.06218i | 0.127717 | − | 0.221212i | −0.795075 | − | 0.606511i | \(-0.792568\pi\) |
0.922792 | + | 0.385299i | \(0.125902\pi\) | |||||||
\(752\) | 6.00000 | 0.218797 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 36.0000 | 1.31104 | ||||||||
\(755\) | 3.00000 | 0.109181 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 38.0000 | 1.38113 | 0.690567 | − | 0.723269i | \(-0.257361\pi\) | ||||
0.690567 | + | 0.723269i | \(0.257361\pi\) | |||||||
\(758\) | 8.00000 | 0.290573 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 12.0000 | 0.435286 | ||||||||
\(761\) | 6.00000 | − | 10.3923i | 0.217500 | − | 0.376721i | −0.736543 | − | 0.676391i | \(-0.763543\pi\) |
0.954043 | + | 0.299670i | \(0.0968765\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −28.0000 | − | 24.2487i | −1.01367 | − | 0.877862i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 9.00000 | − | 15.5885i | 0.325183 | − | 0.563234i | ||||
\(767\) | −6.00000 | − | 10.3923i | −0.216647 | − | 0.375244i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.50000 | + | 16.4545i | 0.342579 | + | 0.593364i | 0.984911 | − | 0.173063i | \(-0.0553663\pi\) |
−0.642332 | + | 0.766426i | \(0.722033\pi\) | |||||||
\(770\) | −4.50000 | + | 23.3827i | −0.162169 | + | 0.842654i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −19.0000 | −0.683825 | ||||||||
\(773\) | 3.00000 | − | 5.19615i | 0.107903 | − | 0.186893i | −0.807018 | − | 0.590527i | \(-0.798920\pi\) |
0.914920 | + | 0.403634i | \(0.132253\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.00000 | + | 3.46410i | 0.0718421 | + | 0.124434i | ||||
\(776\) | 0.500000 | − | 0.866025i | 0.0179490 | − | 0.0310885i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −3.00000 | − | 5.19615i | −0.107555 | − | 0.186291i | ||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9.00000 | + | 15.5885i | 0.322045 | + | 0.557799i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.50000 | − | 2.59808i | −0.232143 | − | 0.0927884i | ||||
\(785\) | −6.00000 | + | 10.3923i | −0.214149 | + | 0.370917i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 50.0000 | 1.78231 | 0.891154 | − | 0.453701i | \(-0.149897\pi\) | ||||
0.891154 | + | 0.453701i | \(0.149897\pi\) | |||||||
\(788\) | −6.00000 | −0.213741 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.50000 | + | 2.59808i | −0.0533676 | + | 0.0924354i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −20.0000 | − | 34.6410i | −0.710221 | − | 1.23014i | ||||
\(794\) | 2.00000 | + | 3.46410i | 0.0709773 | + | 0.122936i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −10.0000 | + | 17.3205i | −0.354441 | + | 0.613909i | ||||
\(797\) | −16.5000 | − | 28.5788i | −0.584460 | − | 1.01231i | −0.994943 | − | 0.100446i | \(-0.967973\pi\) |
0.410483 | − | 0.911868i | \(-0.365360\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −2.00000 | − | 3.46410i | −0.0707107 | − | 0.122474i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 12.0000 | − | 20.7846i | 0.423735 | − | 0.733930i | ||||
\(803\) | −6.00000 | −0.211735 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −2.00000 | − | 3.46410i | −0.0704470 | − | 0.122018i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −9.00000 | − | 15.5885i | −0.316619 | − | 0.548400i | ||||
\(809\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.00000 | 0.0702295 | 0.0351147 | − | 0.999383i | \(-0.488820\pi\) | ||||
0.0351147 | + | 0.999383i | \(0.488820\pi\) | |||||||
\(812\) | 18.0000 | + | 15.5885i | 0.631676 | + | 0.547048i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 12.0000 | − | 20.7846i | 0.420600 | − | 0.728500i | ||||
\(815\) | 48.0000 | 1.68137 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 40.0000 | 1.39942 | ||||||||
\(818\) | −25.0000 | −0.874105 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 3.00000 | 0.104701 | 0.0523504 | − | 0.998629i | \(-0.483329\pi\) | ||||
0.0523504 | + | 0.998629i | \(0.483329\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −40.0000 | −1.39431 | −0.697156 | − | 0.716919i | \(-0.745552\pi\) | ||||
−0.697156 | + | 0.716919i | \(0.745552\pi\) | |||||||
\(824\) | −4.00000 | + | 6.92820i | −0.139347 | + | 0.241355i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.50000 | − | 7.79423i | 0.0521917 | − | 0.271196i | ||||
\(827\) | −15.0000 | −0.521601 | −0.260801 | − | 0.965393i | \(-0.583986\pi\) | ||||
−0.260801 | + | 0.965393i | \(0.583986\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.00000 | − | 3.46410i | 0.0694629 | − | 0.120313i | −0.829202 | − | 0.558949i | \(-0.811205\pi\) |
0.898665 | + | 0.438636i | \(0.144538\pi\) | |||||||
\(830\) | 13.5000 | + | 23.3827i | 0.468592 | + | 0.811625i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.00000 | + | 3.46410i | 0.0693375 | + | 0.120096i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 18.0000 | 0.622916 | ||||||||
\(836\) | −6.00000 | + | 10.3923i | −0.207514 | + | 0.359425i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −12.0000 | + | 20.7846i | −0.414286 | + | 0.717564i | −0.995353 | − | 0.0962912i | \(-0.969302\pi\) |
0.581067 | + | 0.813856i | \(0.302635\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −26.0000 | − | 45.0333i | −0.896552 | − | 1.55287i | ||||
\(842\) | 11.0000 | − | 19.0526i | 0.379085 | − | 0.656595i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −7.00000 | − | 12.1244i | −0.240950 | − | 0.417338i | ||||
\(845\) | 4.50000 | + | 7.79423i | 0.154805 | + | 0.268130i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.00000 | + | 3.46410i | 0.137442 | + | 0.119028i | ||||
\(848\) | −1.50000 | + | 2.59808i | −0.0515102 | + | 0.0892183i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.00000 | − | 8.66025i | 0.171197 | − | 0.296521i | −0.767642 | − | 0.640879i | \(-0.778570\pi\) |
0.938839 | + | 0.344358i | \(0.111903\pi\) | |||||||
\(854\) | 5.00000 | − | 25.9808i | 0.171096 | − | 0.889043i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.50000 | − | 2.59808i | −0.0512689 | − | 0.0888004i | ||||
\(857\) | −21.0000 | − | 36.3731i | −0.717346 | − | 1.24248i | −0.962048 | − | 0.272882i | \(-0.912023\pi\) |
0.244701 | − | 0.969599i | \(-0.421310\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −25.0000 | + | 43.3013i | −0.852989 | + | 1.47742i | 0.0255092 | + | 0.999675i | \(0.491879\pi\) |
−0.878498 | + | 0.477746i | \(0.841454\pi\) | |||||||
\(860\) | −15.0000 | − | 25.9808i | −0.511496 | − | 0.885937i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.00000 | − | 10.3923i | 0.204361 | − | 0.353963i | ||||
\(863\) | 3.00000 | + | 5.19615i | 0.102121 | + | 0.176879i | 0.912558 | − | 0.408946i | \(-0.134104\pi\) |
−0.810437 | + | 0.585826i | \(0.800770\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −27.0000 | + | 46.7654i | −0.918028 | + | 1.59007i | ||||
\(866\) | −34.0000 | −1.15537 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.500000 | − | 2.59808i | 0.0169711 | − | 0.0881845i | ||||
\(869\) | −1.50000 | − | 2.59808i | −0.0508840 | − | 0.0881337i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −20.0000 | − | 34.6410i | −0.677674 | − | 1.17377i | ||||
\(872\) | −7.00000 | + | 12.1244i | −0.237050 | + | 0.410582i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.50000 | + | 7.79423i | −0.0507093 | + | 0.263493i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −16.0000 | + | 27.7128i | −0.540282 | + | 0.935795i | 0.458606 | + | 0.888640i | \(0.348349\pi\) |
−0.998888 | + | 0.0471555i | \(0.984984\pi\) | |||||||
\(878\) | 35.0000 | 1.18119 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 9.00000 | 0.303390 | ||||||||
\(881\) | 6.00000 | 0.202145 | 0.101073 | − | 0.994879i | \(-0.467773\pi\) | ||||
0.101073 | + | 0.994879i | \(0.467773\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 32.0000 | 1.07689 | 0.538443 | − | 0.842662i | \(-0.319013\pi\) | ||||
0.538443 | + | 0.842662i | \(0.319013\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 33.0000 | 1.10866 | ||||||||
\(887\) | −12.0000 | + | 20.7846i | −0.402921 | + | 0.697879i | −0.994077 | − | 0.108678i | \(-0.965338\pi\) |
0.591156 | + | 0.806557i | \(0.298672\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.50000 | + | 12.9904i | −0.0838473 | + | 0.435683i | ||||
\(890\) | 18.0000 | 0.603361 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 9.50000 | − | 16.4545i | 0.318084 | − | 0.550937i | ||||
\(893\) | 12.0000 | + | 20.7846i | 0.401565 | + | 0.695530i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −18.0000 | − | 31.1769i | −0.601674 | − | 1.04213i | ||||
\(896\) | −0.500000 | + | 2.59808i | −0.0167038 | + | 0.0867956i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −12.0000 | −0.400445 | ||||||||
\(899\) | −4.50000 | + | 7.79423i | −0.150083 | + | 0.259952i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 12.0000 | − | 20.7846i | 0.398893 | − | 0.690904i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −4.00000 | − | 6.92820i | −0.132818 | − | 0.230047i | 0.791944 | − | 0.610594i | \(-0.209069\pi\) |
−0.924762 | + | 0.380547i | \(0.875736\pi\) | |||||||
\(908\) | −13.5000 | − | 23.3827i | −0.448013 | − | 0.775982i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −6.00000 | + | 31.1769i | −0.198898 | + | 1.03350i | ||||
\(911\) | 3.00000 | − | 5.19615i | 0.0993944 | − | 0.172156i | −0.812040 | − | 0.583602i | \(-0.801643\pi\) |
0.911434 | + | 0.411446i | \(0.134976\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −27.0000 | −0.893570 | ||||||||
\(914\) | −1.00000 | −0.0330771 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.00000 | − | 3.46410i | 0.0660819 | − | 0.114457i | ||||
\(917\) | −18.0000 | − | 15.5885i | −0.594412 | − | 0.514776i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.00000 | − | 6.92820i | −0.131948 | − | 0.228540i | 0.792480 | − | 0.609898i | \(-0.208790\pi\) |
−0.924427 | + | 0.381358i | \(0.875456\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 15.0000 | − | 25.9808i | 0.493999 | − | 0.855631i | ||||
\(923\) | 12.0000 | + | 20.7846i | 0.394985 | + | 0.684134i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −16.0000 | + | 27.7128i | −0.526077 | + | 0.911192i | ||||
\(926\) | −4.00000 | − | 6.92820i | −0.131448 | − | 0.227675i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 4.50000 | − | 7.79423i | 0.147720 | − | 0.255858i | ||||
\(929\) | 6.00000 | 0.196854 | 0.0984268 | − | 0.995144i | \(-0.468619\pi\) | ||||
0.0984268 | + | 0.995144i | \(0.468619\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.00000 | − | 27.7128i | −0.131095 | − | 0.908251i | ||||
\(932\) | −12.0000 | − | 20.7846i | −0.393073 | − | 0.680823i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 18.0000 | + | 31.1769i | 0.588978 | + | 1.02014i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 35.0000 | 1.14340 | 0.571700 | − | 0.820463i | \(-0.306284\pi\) | ||||
0.571700 | + | 0.820463i | \(0.306284\pi\) | |||||||
\(938\) | 5.00000 | − | 25.9808i | 0.163256 | − | 0.848302i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 9.00000 | − | 15.5885i | 0.293548 | − | 0.508439i | ||||
\(941\) | 9.00000 | 0.293392 | 0.146696 | − | 0.989182i | \(-0.453136\pi\) | ||||
0.146696 | + | 0.989182i | \(0.453136\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0 | 0 | ||||||||
\(944\) | −3.00000 | −0.0976417 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 30.0000 | 0.975384 | ||||||||
\(947\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −8.00000 | −0.259691 | ||||||||
\(950\) | 8.00000 | − | 13.8564i | 0.259554 | − | 0.449561i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 6.00000 | 0.194359 | 0.0971795 | − | 0.995267i | \(-0.469018\pi\) | ||||
0.0971795 | + | 0.995267i | \(0.469018\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −12.0000 | − | 20.7846i | −0.388108 | − | 0.672222i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −9.00000 | − | 15.5885i | −0.290777 | − | 0.503640i | ||||
\(959\) | −45.0000 | + | 15.5885i | −1.45313 | + | 0.503378i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.0000 | −0.967742 | ||||||||
\(962\) | 16.0000 | − | 27.7128i | 0.515861 | − | 0.893497i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.500000 | + | 0.866025i | 0.0161039 | + | 0.0278928i | ||||
\(965\) | −28.5000 | + | 49.3634i | −0.917447 | + | 1.58907i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0.500000 | + | 0.866025i | 0.0160789 | + | 0.0278495i | 0.873953 | − | 0.486011i | \(-0.161548\pi\) |
−0.857874 | + | 0.513860i | \(0.828215\pi\) | |||||||
\(968\) | 1.00000 | − | 1.73205i | 0.0321412 | − | 0.0556702i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.50000 | − | 2.59808i | −0.0481621 | − | 0.0834192i | ||||
\(971\) | −19.5000 | − | 33.7750i | −0.625785 | − | 1.08389i | −0.988389 | − | 0.151948i | \(-0.951445\pi\) |
0.362604 | − | 0.931943i | \(-0.381888\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 5.00000 | − | 1.73205i | 0.160293 | − | 0.0555270i | ||||
\(974\) | −20.5000 | + | 35.5070i | −0.656862 | + | 1.13772i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −10.0000 | −0.320092 | ||||||||
\(977\) | −42.0000 | −1.34370 | −0.671850 | − | 0.740688i | \(-0.734500\pi\) | ||||
−0.671850 | + | 0.740688i | \(0.734500\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −9.00000 | + | 15.5885i | −0.287641 | + | 0.498209i | ||||
\(980\) | −16.5000 | + | 12.9904i | −0.527073 | + | 0.414963i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −16.5000 | − | 28.5788i | −0.526536 | − | 0.911987i | ||||
\(983\) | 18.0000 | + | 31.1769i | 0.574111 | + | 0.994389i | 0.996138 | + | 0.0878058i | \(0.0279855\pi\) |
−0.422027 | + | 0.906583i | \(0.638681\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −9.00000 | + | 15.5885i | −0.286764 | + | 0.496690i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −8.00000 | + | 13.8564i | −0.254514 | + | 0.440831i | ||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.50000 | − | 11.2583i | 0.206479 | − | 0.357633i | −0.744124 | − | 0.668042i | \(-0.767133\pi\) |
0.950603 | + | 0.310409i | \(0.100466\pi\) | |||||||
\(992\) | −1.00000 | −0.0317500 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −3.00000 | + | 15.5885i | −0.0951542 | + | 0.494436i | ||||
\(995\) | 30.0000 | + | 51.9615i | 0.951064 | + | 1.64729i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −7.00000 | − | 12.1244i | −0.221692 | − | 0.383982i | 0.733630 | − | 0.679549i | \(-0.237825\pi\) |
−0.955322 | + | 0.295567i | \(0.904491\pi\) | |||||||
\(998\) | −1.00000 | + | 1.73205i | −0.0316544 | + | 0.0548271i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))