Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(424,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.424");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.r (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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 21) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 424.2 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 525.424 |
Dual form | 525.2.r.e.499.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.73205 | − | 1.00000i | 1.22474 | − | 0.707107i | 0.258819 | − | 0.965926i | \(-0.416667\pi\) |
0.965926 | + | 0.258819i | \(0.0833333\pi\) | |||||||
\(3\) | 0.866025 | + | 0.500000i | 0.500000 | + | 0.288675i | ||||
\(4\) | 1.00000 | − | 1.73205i | 0.500000 | − | 0.866025i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 2.00000 | 0.816497 | ||||||||
\(7\) | 0.866025 | − | 2.50000i | 0.327327 | − | 0.944911i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.00000 | − | 1.73205i | 0.301511 | − | 0.522233i | −0.674967 | − | 0.737848i | \(-0.735842\pi\) |
0.976478 | + | 0.215615i | \(0.0691756\pi\) | |||||||
\(12\) | 1.73205 | − | 1.00000i | 0.500000 | − | 0.288675i | ||||
\(13\) | − | 1.00000i | − | 0.277350i | −0.990338 | − | 0.138675i | \(-0.955716\pi\) | ||
0.990338 | − | 0.138675i | \(-0.0442844\pi\) | |||||||
\(14\) | −1.00000 | − | 5.19615i | −0.267261 | − | 1.38873i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.00000 | + | 3.46410i | 0.500000 | + | 0.866025i | ||||
\(17\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(18\) | 1.73205 | + | 1.00000i | 0.408248 | + | 0.235702i | ||||
\(19\) | 0.500000 | + | 0.866025i | 0.114708 | + | 0.198680i | 0.917663 | − | 0.397360i | \(-0.130073\pi\) |
−0.802955 | + | 0.596040i | \(0.796740\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.00000 | − | 1.73205i | 0.436436 | − | 0.377964i | ||||
\(22\) | − | 4.00000i | − | 0.852803i | ||||||
\(23\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −1.00000 | − | 1.73205i | −0.196116 | − | 0.339683i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −3.46410 | − | 4.00000i | −0.654654 | − | 0.755929i | ||||
\(29\) | −4.00000 | −0.742781 | −0.371391 | − | 0.928477i | \(-0.621119\pi\) | ||||
−0.371391 | + | 0.928477i | \(0.621119\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.50000 | + | 7.79423i | −0.808224 | + | 1.39988i | 0.105869 | + | 0.994380i | \(0.466238\pi\) |
−0.914093 | + | 0.405505i | \(0.867096\pi\) | |||||||
\(32\) | 6.92820 | + | 4.00000i | 1.22474 | + | 0.707107i | ||||
\(33\) | 1.73205 | − | 1.00000i | 0.301511 | − | 0.174078i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.00000 | 0.333333 | ||||||||
\(37\) | 2.59808 | − | 1.50000i | 0.427121 | − | 0.246598i | −0.270998 | − | 0.962580i | \(-0.587354\pi\) |
0.698119 | + | 0.715981i | \(0.254020\pi\) | |||||||
\(38\) | 1.73205 | + | 1.00000i | 0.280976 | + | 0.162221i | ||||
\(39\) | 0.500000 | − | 0.866025i | 0.0800641 | − | 0.138675i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −10.0000 | −1.56174 | −0.780869 | − | 0.624695i | \(-0.785223\pi\) | ||||
−0.780869 | + | 0.624695i | \(0.785223\pi\) | |||||||
\(42\) | 1.73205 | − | 5.00000i | 0.267261 | − | 0.771517i | ||||
\(43\) | − | 5.00000i | − | 0.762493i | −0.924473 | − | 0.381246i | \(-0.875495\pi\) | ||
0.924473 | − | 0.381246i | \(-0.124505\pi\) | |||||||
\(44\) | −2.00000 | − | 3.46410i | −0.301511 | − | 0.522233i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −5.19615 | + | 3.00000i | −0.757937 | + | 0.437595i | −0.828554 | − | 0.559908i | \(-0.810836\pi\) |
0.0706177 | + | 0.997503i | \(0.477503\pi\) | |||||||
\(48\) | 4.00000i | 0.577350i | ||||||||
\(49\) | −5.50000 | − | 4.33013i | −0.785714 | − | 0.618590i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.73205 | − | 1.00000i | −0.240192 | − | 0.138675i | ||||
\(53\) | 10.3923 | + | 6.00000i | 1.42749 | + | 0.824163i | 0.996922 | − | 0.0783936i | \(-0.0249791\pi\) |
0.430570 | + | 0.902557i | \(0.358312\pi\) | |||||||
\(54\) | 1.00000 | + | 1.73205i | 0.136083 | + | 0.235702i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.00000i | 0.132453i | ||||||||
\(58\) | −6.92820 | + | 4.00000i | −0.909718 | + | 0.525226i | ||||
\(59\) | −6.00000 | + | 10.3923i | −0.781133 | + | 1.35296i | 0.150148 | + | 0.988663i | \(0.452025\pi\) |
−0.931282 | + | 0.364299i | \(0.881308\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.00000 | − | 8.66025i | −0.640184 | − | 1.10883i | −0.985391 | − | 0.170305i | \(-0.945525\pi\) |
0.345207 | − | 0.938527i | \(-0.387809\pi\) | |||||||
\(62\) | 18.0000i | 2.28600i | ||||||||
\(63\) | 2.59808 | − | 0.500000i | 0.327327 | − | 0.0629941i | ||||
\(64\) | 8.00000 | 1.00000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.00000 | − | 3.46410i | 0.246183 | − | 0.426401i | ||||
\(67\) | 4.33013 | + | 2.50000i | 0.529009 | + | 0.305424i | 0.740613 | − | 0.671932i | \(-0.234535\pi\) |
−0.211604 | + | 0.977356i | \(0.567869\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.00000 | −0.712069 | −0.356034 | − | 0.934473i | \(-0.615871\pi\) | ||||
−0.356034 | + | 0.934473i | \(0.615871\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.59808 | − | 1.50000i | −0.304082 | − | 0.175562i | 0.340193 | − | 0.940356i | \(-0.389507\pi\) |
−0.644275 | + | 0.764794i | \(0.722841\pi\) | |||||||
\(74\) | 3.00000 | − | 5.19615i | 0.348743 | − | 0.604040i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.00000 | 0.229416 | ||||||||
\(77\) | −3.46410 | − | 4.00000i | −0.394771 | − | 0.455842i | ||||
\(78\) | − | 2.00000i | − | 0.226455i | ||||||
\(79\) | −0.500000 | − | 0.866025i | −0.0562544 | − | 0.0974355i | 0.836527 | − | 0.547926i | \(-0.184582\pi\) |
−0.892781 | + | 0.450490i | \(0.851249\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −17.3205 | + | 10.0000i | −1.91273 | + | 1.10432i | ||||
\(83\) | − | 6.00000i | − | 0.658586i | −0.944228 | − | 0.329293i | \(-0.893190\pi\) | ||
0.944228 | − | 0.329293i | \(-0.106810\pi\) | |||||||
\(84\) | −1.00000 | − | 5.19615i | −0.109109 | − | 0.566947i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −5.00000 | − | 8.66025i | −0.539164 | − | 0.933859i | ||||
\(87\) | −3.46410 | − | 2.00000i | −0.371391 | − | 0.214423i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 8.00000 | + | 13.8564i | 0.847998 | + | 1.46878i | 0.882992 | + | 0.469389i | \(0.155526\pi\) |
−0.0349934 | + | 0.999388i | \(0.511141\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.50000 | − | 0.866025i | −0.262071 | − | 0.0907841i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −7.79423 | + | 4.50000i | −0.808224 | + | 0.466628i | ||||
\(94\) | −6.00000 | + | 10.3923i | −0.618853 | + | 1.07188i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 4.00000 | + | 6.92820i | 0.408248 | + | 0.707107i | ||||
\(97\) | − | 6.00000i | − | 0.609208i | −0.952479 | − | 0.304604i | \(-0.901476\pi\) | ||
0.952479 | − | 0.304604i | \(-0.0985241\pi\) | |||||||
\(98\) | −13.8564 | − | 2.00000i | −1.39971 | − | 0.202031i | ||||
\(99\) | 2.00000 | 0.201008 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.00000 | + | 1.73205i | −0.0995037 | + | 0.172345i | −0.911479 | − | 0.411346i | \(-0.865059\pi\) |
0.811976 | + | 0.583691i | \(0.198392\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.06218 | − | 3.50000i | 0.597324 | − | 0.344865i | −0.170664 | − | 0.985329i | \(-0.554591\pi\) |
0.767988 | + | 0.640464i | \(0.221258\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 24.0000 | 2.33109 | ||||||||
\(107\) | −6.92820 | + | 4.00000i | −0.669775 | + | 0.386695i | −0.795991 | − | 0.605308i | \(-0.793050\pi\) |
0.126217 | + | 0.992003i | \(0.459717\pi\) | |||||||
\(108\) | 1.73205 | + | 1.00000i | 0.166667 | + | 0.0962250i | ||||
\(109\) | 4.50000 | − | 7.79423i | 0.431022 | − | 0.746552i | −0.565940 | − | 0.824447i | \(-0.691487\pi\) |
0.996962 | + | 0.0778949i | \(0.0248199\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.00000 | 0.284747 | ||||||||
\(112\) | 10.3923 | − | 2.00000i | 0.981981 | − | 0.188982i | ||||
\(113\) | − | 10.0000i | − | 0.940721i | −0.882474 | − | 0.470360i | \(-0.844124\pi\) | ||
0.882474 | − | 0.470360i | \(-0.155876\pi\) | |||||||
\(114\) | 1.00000 | + | 1.73205i | 0.0936586 | + | 0.162221i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −4.00000 | + | 6.92820i | −0.371391 | + | 0.643268i | ||||
\(117\) | 0.866025 | − | 0.500000i | 0.0800641 | − | 0.0462250i | ||||
\(118\) | 24.0000i | 2.20938i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.50000 | + | 6.06218i | 0.318182 | + | 0.551107i | ||||
\(122\) | −17.3205 | − | 10.0000i | −1.56813 | − | 0.905357i | ||||
\(123\) | −8.66025 | − | 5.00000i | −0.780869 | − | 0.450835i | ||||
\(124\) | 9.00000 | + | 15.5885i | 0.808224 | + | 1.39988i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 4.00000 | − | 3.46410i | 0.356348 | − | 0.308607i | ||||
\(127\) | − | 15.0000i | − | 1.33103i | −0.746382 | − | 0.665517i | \(-0.768211\pi\) | ||
0.746382 | − | 0.665517i | \(-0.231789\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 2.50000 | − | 4.33013i | 0.220113 | − | 0.381246i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.00000 | + | 12.1244i | 0.611593 | + | 1.05931i | 0.990972 | + | 0.134069i | \(0.0428042\pi\) |
−0.379379 | + | 0.925241i | \(0.623862\pi\) | |||||||
\(132\) | − | 4.00000i | − | 0.348155i | ||||||
\(133\) | 2.59808 | − | 0.500000i | 0.225282 | − | 0.0433555i | ||||
\(134\) | 10.0000 | 0.863868 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 10.3923 | + | 6.00000i | 0.887875 | + | 0.512615i | 0.873247 | − | 0.487278i | \(-0.162010\pi\) |
0.0146279 | + | 0.999893i | \(0.495344\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.00000 | 0.254457 | 0.127228 | − | 0.991873i | \(-0.459392\pi\) | ||||
0.127228 | + | 0.991873i | \(0.459392\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −6.00000 | −0.505291 | ||||||||
\(142\) | −10.3923 | + | 6.00000i | −0.872103 | + | 0.503509i | ||||
\(143\) | −1.73205 | − | 1.00000i | −0.144841 | − | 0.0836242i | ||||
\(144\) | −2.00000 | + | 3.46410i | −0.166667 | + | 0.288675i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −6.00000 | −0.496564 | ||||||||
\(147\) | −2.59808 | − | 6.50000i | −0.214286 | − | 0.536111i | ||||
\(148\) | − | 6.00000i | − | 0.493197i | ||||||
\(149\) | −6.00000 | − | 10.3923i | −0.491539 | − | 0.851371i | 0.508413 | − | 0.861113i | \(-0.330232\pi\) |
−0.999953 | + | 0.00974235i | \(0.996899\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.00000 | − | 13.8564i | 0.651031 | − | 1.12762i | −0.331842 | − | 0.943335i | \(-0.607670\pi\) |
0.982873 | − | 0.184284i | \(-0.0589965\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −10.0000 | − | 3.46410i | −0.805823 | − | 0.279145i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −1.00000 | − | 1.73205i | −0.0800641 | − | 0.138675i | ||||
\(157\) | 12.1244 | + | 7.00000i | 0.967629 | + | 0.558661i | 0.898513 | − | 0.438948i | \(-0.144649\pi\) |
0.0691164 | + | 0.997609i | \(0.477982\pi\) | |||||||
\(158\) | −1.73205 | − | 1.00000i | −0.137795 | − | 0.0795557i | ||||
\(159\) | 6.00000 | + | 10.3923i | 0.475831 | + | 0.824163i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 2.00000i | 0.157135i | ||||||||
\(163\) | −3.46410 | + | 2.00000i | −0.271329 | + | 0.156652i | −0.629492 | − | 0.777007i | \(-0.716737\pi\) |
0.358162 | + | 0.933659i | \(0.383403\pi\) | |||||||
\(164\) | −10.0000 | + | 17.3205i | −0.780869 | + | 1.35250i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.00000 | − | 10.3923i | −0.465690 | − | 0.806599i | ||||
\(167\) | − | 14.0000i | − | 1.08335i | −0.840587 | − | 0.541676i | \(-0.817790\pi\) | ||
0.840587 | − | 0.541676i | \(-0.182210\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.0000 | 0.923077 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.500000 | + | 0.866025i | −0.0382360 | + | 0.0662266i | ||||
\(172\) | −8.66025 | − | 5.00000i | −0.660338 | − | 0.381246i | ||||
\(173\) | −6.92820 | + | 4.00000i | −0.526742 | + | 0.304114i | −0.739689 | − | 0.672949i | \(-0.765027\pi\) |
0.212947 | + | 0.977064i | \(0.431694\pi\) | |||||||
\(174\) | −8.00000 | −0.606478 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 8.00000 | 0.603023 | ||||||||
\(177\) | −10.3923 | + | 6.00000i | −0.781133 | + | 0.450988i | ||||
\(178\) | 27.7128 | + | 16.0000i | 2.07716 | + | 1.19925i | ||||
\(179\) | 1.00000 | − | 1.73205i | 0.0747435 | − | 0.129460i | −0.826231 | − | 0.563331i | \(-0.809520\pi\) |
0.900975 | + | 0.433872i | \(0.142853\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.0000 | 0.966282 | 0.483141 | − | 0.875542i | \(-0.339496\pi\) | ||||
0.483141 | + | 0.875542i | \(0.339496\pi\) | |||||||
\(182\) | −5.19615 | + | 1.00000i | −0.385164 | + | 0.0741249i | ||||
\(183\) | − | 10.0000i | − | 0.739221i | ||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −9.00000 | + | 15.5885i | −0.659912 | + | 1.14300i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 12.0000i | 0.875190i | ||||||||
\(189\) | 2.50000 | + | 0.866025i | 0.181848 | + | 0.0629941i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.00000 | − | 8.66025i | −0.361787 | − | 0.626634i | 0.626468 | − | 0.779447i | \(-0.284500\pi\) |
−0.988255 | + | 0.152813i | \(0.951167\pi\) | |||||||
\(192\) | 6.92820 | + | 4.00000i | 0.500000 | + | 0.288675i | ||||
\(193\) | 9.52628 | + | 5.50000i | 0.685717 | + | 0.395899i | 0.802005 | − | 0.597317i | \(-0.203766\pi\) |
−0.116289 | + | 0.993215i | \(0.537100\pi\) | |||||||
\(194\) | −6.00000 | − | 10.3923i | −0.430775 | − | 0.746124i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −13.0000 | + | 5.19615i | −0.928571 | + | 0.371154i | ||||
\(197\) | 16.0000i | 1.13995i | 0.821661 | + | 0.569976i | \(0.193048\pi\) | ||||
−0.821661 | + | 0.569976i | \(0.806952\pi\) | |||||||
\(198\) | 3.46410 | − | 2.00000i | 0.246183 | − | 0.142134i | ||||
\(199\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.50000 | + | 4.33013i | 0.176336 | + | 0.305424i | ||||
\(202\) | 4.00000i | 0.281439i | ||||||||
\(203\) | −3.46410 | + | 10.0000i | −0.243132 | + | 0.701862i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 7.00000 | − | 12.1244i | 0.487713 | − | 0.844744i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.46410 | − | 2.00000i | 0.240192 | − | 0.138675i | ||||
\(209\) | 2.00000 | 0.138343 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.00000 | 0.275371 | 0.137686 | − | 0.990476i | \(-0.456034\pi\) | ||||
0.137686 | + | 0.990476i | \(0.456034\pi\) | |||||||
\(212\) | 20.7846 | − | 12.0000i | 1.42749 | − | 0.824163i | ||||
\(213\) | −5.19615 | − | 3.00000i | −0.356034 | − | 0.205557i | ||||
\(214\) | −8.00000 | + | 13.8564i | −0.546869 | + | 0.947204i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 15.5885 | + | 18.0000i | 1.05821 | + | 1.22192i | ||||
\(218\) | − | 18.0000i | − | 1.21911i | ||||||
\(219\) | −1.50000 | − | 2.59808i | −0.101361 | − | 0.175562i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 5.19615 | − | 3.00000i | 0.348743 | − | 0.201347i | ||||
\(223\) | − | 16.0000i | − | 1.07144i | −0.844396 | − | 0.535720i | \(-0.820040\pi\) | ||
0.844396 | − | 0.535720i | \(-0.179960\pi\) | |||||||
\(224\) | 16.0000 | − | 13.8564i | 1.06904 | − | 0.925820i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −10.0000 | − | 17.3205i | −0.665190 | − | 1.15214i | ||||
\(227\) | −15.5885 | − | 9.00000i | −1.03464 | − | 0.597351i | −0.116331 | − | 0.993210i | \(-0.537113\pi\) |
−0.918311 | + | 0.395860i | \(0.870447\pi\) | |||||||
\(228\) | 1.73205 | + | 1.00000i | 0.114708 | + | 0.0662266i | ||||
\(229\) | −9.50000 | − | 16.4545i | −0.627778 | − | 1.08734i | −0.987997 | − | 0.154475i | \(-0.950631\pi\) |
0.360219 | − | 0.932868i | \(-0.382702\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.00000 | − | 5.19615i | −0.0657952 | − | 0.341882i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −5.19615 | + | 3.00000i | −0.340411 | + | 0.196537i | −0.660454 | − | 0.750867i | \(-0.729636\pi\) |
0.320043 | + | 0.947403i | \(0.396303\pi\) | |||||||
\(234\) | 1.00000 | − | 1.73205i | 0.0653720 | − | 0.113228i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 12.0000 | + | 20.7846i | 0.781133 | + | 1.35296i | ||||
\(237\) | − | 1.00000i | − | 0.0649570i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −6.00000 | −0.388108 | −0.194054 | − | 0.980991i | \(-0.562164\pi\) | ||||
−0.194054 | + | 0.980991i | \(0.562164\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.00000 | + | 12.1244i | −0.450910 | + | 0.780998i | −0.998443 | − | 0.0557856i | \(-0.982234\pi\) |
0.547533 | + | 0.836784i | \(0.315567\pi\) | |||||||
\(242\) | 12.1244 | + | 7.00000i | 0.779383 | + | 0.449977i | ||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | −20.0000 | −1.28037 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −20.0000 | −1.27515 | ||||||||
\(247\) | 0.866025 | − | 0.500000i | 0.0551039 | − | 0.0318142i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.00000 | − | 5.19615i | 0.190117 | − | 0.329293i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −8.00000 | −0.504956 | −0.252478 | − | 0.967603i | \(-0.581245\pi\) | ||||
−0.252478 | + | 0.967603i | \(0.581245\pi\) | |||||||
\(252\) | 1.73205 | − | 5.00000i | 0.109109 | − | 0.314970i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −15.0000 | − | 25.9808i | −0.941184 | − | 1.63018i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | + | 13.8564i | −0.500000 | + | 0.866025i | ||||
\(257\) | 22.5167 | − | 13.0000i | 1.40455 | − | 0.810918i | 0.409695 | − | 0.912222i | \(-0.365635\pi\) |
0.994855 | + | 0.101305i | \(0.0323017\pi\) | |||||||
\(258\) | − | 10.0000i | − | 0.622573i | ||||||
\(259\) | −1.50000 | − | 7.79423i | −0.0932055 | − | 0.484310i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.00000 | − | 3.46410i | −0.123797 | − | 0.214423i | ||||
\(262\) | 24.2487 | + | 14.0000i | 1.49809 | + | 0.864923i | ||||
\(263\) | 3.46410 | + | 2.00000i | 0.213606 | + | 0.123325i | 0.602986 | − | 0.797752i | \(-0.293977\pi\) |
−0.389380 | + | 0.921077i | \(0.627311\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 4.00000 | − | 3.46410i | 0.245256 | − | 0.212398i | ||||
\(267\) | 16.0000i | 0.979184i | ||||||||
\(268\) | 8.66025 | − | 5.00000i | 0.529009 | − | 0.305424i | ||||
\(269\) | 3.00000 | − | 5.19615i | 0.182913 | − | 0.316815i | −0.759958 | − | 0.649972i | \(-0.774781\pi\) |
0.942871 | + | 0.333157i | \(0.108114\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.00000 | − | 13.8564i | −0.485965 | − | 0.841717i | 0.513905 | − | 0.857847i | \(-0.328199\pi\) |
−0.999870 | + | 0.0161307i | \(0.994865\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −1.73205 | − | 2.00000i | −0.104828 | − | 0.121046i | ||||
\(274\) | 24.0000 | 1.44989 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.2583 | − | 6.50000i | −0.676448 | − | 0.390547i | 0.122068 | − | 0.992522i | \(-0.461047\pi\) |
−0.798515 | + | 0.601975i | \(0.794381\pi\) | |||||||
\(278\) | 5.19615 | − | 3.00000i | 0.311645 | − | 0.179928i | ||||
\(279\) | −9.00000 | −0.538816 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4.00000 | −0.238620 | −0.119310 | − | 0.992857i | \(-0.538068\pi\) | ||||
−0.119310 | + | 0.992857i | \(0.538068\pi\) | |||||||
\(282\) | −10.3923 | + | 6.00000i | −0.618853 | + | 0.357295i | ||||
\(283\) | −9.52628 | − | 5.50000i | −0.566279 | − | 0.326941i | 0.189383 | − | 0.981903i | \(-0.439351\pi\) |
−0.755662 | + | 0.654962i | \(0.772685\pi\) | |||||||
\(284\) | −6.00000 | + | 10.3923i | −0.356034 | + | 0.616670i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.00000 | −0.236525 | ||||||||
\(287\) | −8.66025 | + | 25.0000i | −0.511199 | + | 1.47570i | ||||
\(288\) | 8.00000i | 0.471405i | ||||||||
\(289\) | −8.50000 | − | 14.7224i | −0.500000 | − | 0.866025i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.00000 | − | 5.19615i | 0.175863 | − | 0.304604i | ||||
\(292\) | −5.19615 | + | 3.00000i | −0.304082 | + | 0.175562i | ||||
\(293\) | − | 8.00000i | − | 0.467365i | −0.972313 | − | 0.233682i | \(-0.924922\pi\) | ||
0.972313 | − | 0.233682i | \(-0.0750776\pi\) | |||||||
\(294\) | −11.0000 | − | 8.66025i | −0.641533 | − | 0.505076i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.73205 | + | 1.00000i | 0.100504 | + | 0.0580259i | ||||
\(298\) | −20.7846 | − | 12.0000i | −1.20402 | − | 0.695141i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −12.5000 | − | 4.33013i | −0.720488 | − | 0.249584i | ||||
\(302\) | − | 32.0000i | − | 1.84139i | ||||||
\(303\) | −1.73205 | + | 1.00000i | −0.0995037 | + | 0.0574485i | ||||
\(304\) | −2.00000 | + | 3.46410i | −0.114708 | + | 0.198680i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 17.0000i | − | 0.970241i | −0.874447 | − | 0.485121i | \(-0.838776\pi\) | ||
0.874447 | − | 0.485121i | \(-0.161224\pi\) | |||||||
\(308\) | −10.3923 | + | 2.00000i | −0.592157 | + | 0.113961i | ||||
\(309\) | 7.00000 | 0.398216 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 3.00000 | − | 5.19615i | 0.170114 | − | 0.294647i | −0.768345 | − | 0.640036i | \(-0.778920\pi\) |
0.938460 | + | 0.345389i | \(0.112253\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.866025 | − | 0.500000i | 0.0489506 | − | 0.0282617i | −0.475325 | − | 0.879810i | \(-0.657669\pi\) |
0.524276 | + | 0.851549i | \(0.324336\pi\) | |||||||
\(314\) | 28.0000 | 1.58013 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.00000 | −0.112509 | ||||||||
\(317\) | 20.7846 | − | 12.0000i | 1.16738 | − | 0.673987i | 0.214318 | − | 0.976764i | \(-0.431247\pi\) |
0.953062 | + | 0.302777i | \(0.0979136\pi\) | |||||||
\(318\) | 20.7846 | + | 12.0000i | 1.16554 | + | 0.672927i | ||||
\(319\) | −4.00000 | + | 6.92820i | −0.223957 | + | 0.387905i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −8.00000 | −0.446516 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 1.00000 | + | 1.73205i | 0.0555556 | + | 0.0962250i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −4.00000 | + | 6.92820i | −0.221540 | + | 0.383718i | ||||
\(327\) | 7.79423 | − | 4.50000i | 0.431022 | − | 0.248851i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3.00000 | + | 15.5885i | 0.165395 | + | 0.859419i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.5000 | + | 21.6506i | 0.687062 | + | 1.19003i | 0.972784 | + | 0.231714i | \(0.0744333\pi\) |
−0.285722 | + | 0.958313i | \(0.592233\pi\) | |||||||
\(332\) | −10.3923 | − | 6.00000i | −0.570352 | − | 0.329293i | ||||
\(333\) | 2.59808 | + | 1.50000i | 0.142374 | + | 0.0821995i | ||||
\(334\) | −14.0000 | − | 24.2487i | −0.766046 | − | 1.32683i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 10.0000 | + | 3.46410i | 0.545545 | + | 0.188982i | ||||
\(337\) | 13.0000i | 0.708155i | 0.935216 | + | 0.354078i | \(0.115205\pi\) | ||||
−0.935216 | + | 0.354078i | \(0.884795\pi\) | |||||||
\(338\) | 20.7846 | − | 12.0000i | 1.13053 | − | 0.652714i | ||||
\(339\) | 5.00000 | − | 8.66025i | 0.271563 | − | 0.470360i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 9.00000 | + | 15.5885i | 0.487377 | + | 0.844162i | ||||
\(342\) | 2.00000i | 0.108148i | ||||||||
\(343\) | −15.5885 | + | 10.0000i | −0.841698 | + | 0.539949i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −8.00000 | + | 13.8564i | −0.430083 | + | 0.744925i | ||||
\(347\) | −27.7128 | − | 16.0000i | −1.48770 | − | 0.858925i | −0.487800 | − | 0.872955i | \(-0.662201\pi\) |
−0.999902 | + | 0.0140303i | \(0.995534\pi\) | |||||||
\(348\) | −6.92820 | + | 4.00000i | −0.371391 | + | 0.214423i | ||||
\(349\) | 14.0000 | 0.749403 | 0.374701 | − | 0.927146i | \(-0.377745\pi\) | ||||
0.374701 | + | 0.927146i | \(0.377745\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.00000 | 0.0533761 | ||||||||
\(352\) | 13.8564 | − | 8.00000i | 0.738549 | − | 0.426401i | ||||
\(353\) | 29.4449 | + | 17.0000i | 1.56719 | + | 0.904819i | 0.996495 | + | 0.0836583i | \(0.0266604\pi\) |
0.570697 | + | 0.821160i | \(0.306673\pi\) | |||||||
\(354\) | −12.0000 | + | 20.7846i | −0.637793 | + | 1.10469i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 32.0000 | 1.69600 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 4.00000i | − | 0.211407i | ||||||
\(359\) | 10.0000 | + | 17.3205i | 0.527780 | + | 0.914141i | 0.999476 | + | 0.0323801i | \(0.0103087\pi\) |
−0.471696 | + | 0.881761i | \(0.656358\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.00000 | − | 15.5885i | 0.473684 | − | 0.820445i | ||||
\(362\) | 22.5167 | − | 13.0000i | 1.18345 | − | 0.683265i | ||||
\(363\) | 7.00000i | 0.367405i | ||||||||
\(364\) | −4.00000 | + | 3.46410i | −0.209657 | + | 0.181568i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −10.0000 | − | 17.3205i | −0.522708 | − | 0.905357i | ||||
\(367\) | 7.79423 | + | 4.50000i | 0.406855 | + | 0.234898i | 0.689438 | − | 0.724345i | \(-0.257858\pi\) |
−0.282582 | + | 0.959243i | \(0.591191\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −5.00000 | − | 8.66025i | −0.260290 | − | 0.450835i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 24.0000 | − | 20.7846i | 1.24602 | − | 1.07908i | ||||
\(372\) | 18.0000i | 0.933257i | ||||||||
\(373\) | −19.9186 | + | 11.5000i | −1.03135 | + | 0.595447i | −0.917370 | − | 0.398036i | \(-0.869692\pi\) |
−0.113975 | + | 0.993484i | \(0.536359\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 4.00000i | 0.206010i | ||||||||
\(378\) | 5.19615 | − | 1.00000i | 0.267261 | − | 0.0514344i | ||||
\(379\) | −3.00000 | −0.154100 | −0.0770498 | − | 0.997027i | \(-0.524550\pi\) | ||||
−0.0770498 | + | 0.997027i | \(0.524550\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.50000 | − | 12.9904i | 0.384237 | − | 0.665517i | ||||
\(382\) | −17.3205 | − | 10.0000i | −0.886194 | − | 0.511645i | ||||
\(383\) | 10.3923 | − | 6.00000i | 0.531022 | − | 0.306586i | −0.210411 | − | 0.977613i | \(-0.567480\pi\) |
0.741433 | + | 0.671027i | \(0.234147\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 22.0000 | 1.11977 | ||||||||
\(387\) | 4.33013 | − | 2.50000i | 0.220113 | − | 0.127082i | ||||
\(388\) | −10.3923 | − | 6.00000i | −0.527589 | − | 0.304604i | ||||
\(389\) | −3.00000 | + | 5.19615i | −0.152106 | + | 0.263455i | −0.932002 | − | 0.362454i | \(-0.881939\pi\) |
0.779895 | + | 0.625910i | \(0.215272\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 14.0000i | 0.706207i | ||||||||
\(394\) | 16.0000 | + | 27.7128i | 0.806068 | + | 1.39615i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 2.00000 | − | 3.46410i | 0.100504 | − | 0.174078i | ||||
\(397\) | −7.79423 | + | 4.50000i | −0.391181 | + | 0.225849i | −0.682672 | − | 0.730725i | \(-0.739182\pi\) |
0.291491 | + | 0.956574i | \(0.405849\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.50000 | + | 0.866025i | 0.125157 | + | 0.0433555i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 18.0000 | + | 31.1769i | 0.898877 | + | 1.55690i | 0.828932 | + | 0.559350i | \(0.188949\pi\) |
0.0699455 | + | 0.997551i | \(0.477717\pi\) | |||||||
\(402\) | 8.66025 | + | 5.00000i | 0.431934 | + | 0.249377i | ||||
\(403\) | 7.79423 | + | 4.50000i | 0.388258 | + | 0.224161i | ||||
\(404\) | 2.00000 | + | 3.46410i | 0.0995037 | + | 0.172345i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.00000 | + | 20.7846i | 0.198517 | + | 1.03152i | ||||
\(407\) | − | 6.00000i | − | 0.297409i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.50000 | − | 4.33013i | 0.123617 | − | 0.214111i | −0.797574 | − | 0.603220i | \(-0.793884\pi\) |
0.921192 | + | 0.389109i | \(0.127217\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 6.00000 | + | 10.3923i | 0.295958 | + | 0.512615i | ||||
\(412\) | − | 14.0000i | − | 0.689730i | ||||||
\(413\) | 20.7846 | + | 24.0000i | 1.02274 | + | 1.18096i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 4.00000 | − | 6.92820i | 0.196116 | − | 0.339683i | ||||
\(417\) | 2.59808 | + | 1.50000i | 0.127228 | + | 0.0734553i | ||||
\(418\) | 3.46410 | − | 2.00000i | 0.169435 | − | 0.0978232i | ||||
\(419\) | −30.0000 | −1.46560 | −0.732798 | − | 0.680446i | \(-0.761786\pi\) | ||||
−0.732798 | + | 0.680446i | \(0.761786\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.00000 | −0.341159 | −0.170580 | − | 0.985344i | \(-0.554564\pi\) | ||||
−0.170580 | + | 0.985344i | \(0.554564\pi\) | |||||||
\(422\) | 6.92820 | − | 4.00000i | 0.337260 | − | 0.194717i | ||||
\(423\) | −5.19615 | − | 3.00000i | −0.252646 | − | 0.145865i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −12.0000 | −0.581402 | ||||||||
\(427\) | −25.9808 | + | 5.00000i | −1.25730 | + | 0.241967i | ||||
\(428\) | 16.0000i | 0.773389i | ||||||||
\(429\) | −1.00000 | − | 1.73205i | −0.0482805 | − | 0.0836242i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 9.00000 | − | 15.5885i | 0.433515 | − | 0.750870i | −0.563658 | − | 0.826008i | \(-0.690607\pi\) |
0.997173 | + | 0.0751385i | \(0.0239399\pi\) | |||||||
\(432\) | −3.46410 | + | 2.00000i | −0.166667 | + | 0.0962250i | ||||
\(433\) | − | 31.0000i | − | 1.48976i | −0.667196 | − | 0.744882i | \(-0.732506\pi\) | ||
0.667196 | − | 0.744882i | \(-0.267494\pi\) | |||||||
\(434\) | 45.0000 | + | 15.5885i | 2.16007 | + | 0.748270i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.00000 | − | 15.5885i | −0.431022 | − | 0.746552i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −5.19615 | − | 3.00000i | −0.248282 | − | 0.143346i | ||||
\(439\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.00000 | − | 6.92820i | 0.0476190 | − | 0.329914i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −10.3923 | + | 6.00000i | −0.493753 | + | 0.285069i | −0.726130 | − | 0.687557i | \(-0.758683\pi\) |
0.232377 | + | 0.972626i | \(0.425350\pi\) | |||||||
\(444\) | 3.00000 | − | 5.19615i | 0.142374 | − | 0.246598i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −16.0000 | − | 27.7128i | −0.757622 | − | 1.31224i | ||||
\(447\) | − | 12.0000i | − | 0.567581i | ||||||
\(448\) | 6.92820 | − | 20.0000i | 0.327327 | − | 0.944911i | ||||
\(449\) | 18.0000 | 0.849473 | 0.424736 | − | 0.905317i | \(-0.360367\pi\) | ||||
0.424736 | + | 0.905317i | \(0.360367\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.0000 | + | 17.3205i | −0.470882 | + | 0.815591i | ||||
\(452\) | −17.3205 | − | 10.0000i | −0.814688 | − | 0.470360i | ||||
\(453\) | 13.8564 | − | 8.00000i | 0.651031 | − | 0.375873i | ||||
\(454\) | −36.0000 | −1.68956 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −9.52628 | + | 5.50000i | −0.445621 | + | 0.257279i | −0.705979 | − | 0.708233i | \(-0.749493\pi\) |
0.260358 | + | 0.965512i | \(0.416159\pi\) | |||||||
\(458\) | −32.9090 | − | 19.0000i | −1.53773 | − | 0.887812i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 20.0000 | 0.931493 | 0.465746 | − | 0.884918i | \(-0.345786\pi\) | ||||
0.465746 | + | 0.884918i | \(0.345786\pi\) | |||||||
\(462\) | −6.92820 | − | 8.00000i | −0.322329 | − | 0.372194i | ||||
\(463\) | 17.0000i | 0.790057i | 0.918669 | + | 0.395029i | \(0.129265\pi\) | ||||
−0.918669 | + | 0.395029i | \(0.870735\pi\) | |||||||
\(464\) | −8.00000 | − | 13.8564i | −0.371391 | − | 0.643268i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −6.00000 | + | 10.3923i | −0.277945 | + | 0.481414i | ||||
\(467\) | 5.19615 | − | 3.00000i | 0.240449 | − | 0.138823i | −0.374934 | − | 0.927052i | \(-0.622335\pi\) |
0.615383 | + | 0.788228i | \(0.289001\pi\) | |||||||
\(468\) | − | 2.00000i | − | 0.0924500i | ||||||
\(469\) | 10.0000 | − | 8.66025i | 0.461757 | − | 0.399893i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 7.00000 | + | 12.1244i | 0.322543 | + | 0.558661i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −8.66025 | − | 5.00000i | −0.398199 | − | 0.229900i | ||||
\(474\) | −1.00000 | − | 1.73205i | −0.0459315 | − | 0.0795557i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 12.0000i | 0.549442i | ||||||||
\(478\) | −10.3923 | + | 6.00000i | −0.475333 | + | 0.274434i | ||||
\(479\) | −14.0000 | + | 24.2487i | −0.639676 | + | 1.10795i | 0.345827 | + | 0.938298i | \(0.387598\pi\) |
−0.985504 | + | 0.169654i | \(0.945735\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.50000 | − | 2.59808i | −0.0683941 | − | 0.118462i | ||||
\(482\) | 28.0000i | 1.27537i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 14.0000 | 0.636364 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −1.00000 | + | 1.73205i | −0.0453609 | + | 0.0785674i | ||||
\(487\) | −26.8468 | − | 15.5000i | −1.21654 | − | 0.702372i | −0.252367 | − | 0.967632i | \(-0.581209\pi\) |
−0.964177 | + | 0.265260i | \(0.914542\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −4.00000 | −0.180886 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −28.0000 | −1.26362 | −0.631811 | − | 0.775122i | \(-0.717688\pi\) | ||||
−0.631811 | + | 0.775122i | \(0.717688\pi\) | |||||||
\(492\) | −17.3205 | + | 10.0000i | −0.780869 | + | 0.450835i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 1.00000 | − | 1.73205i | 0.0449921 | − | 0.0779287i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −36.0000 | −1.61645 | ||||||||
\(497\) | −5.19615 | + | 15.0000i | −0.233079 | + | 0.672842i | ||||
\(498\) | − | 12.0000i | − | 0.537733i | ||||||
\(499\) | 18.5000 | + | 32.0429i | 0.828174 | + | 1.43444i | 0.899469 | + | 0.436984i | \(0.143953\pi\) |
−0.0712957 | + | 0.997455i | \(0.522713\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 7.00000 | − | 12.1244i | 0.312737 | − | 0.541676i | ||||
\(502\) | −13.8564 | + | 8.00000i | −0.618442 | + | 0.357057i | ||||
\(503\) | 42.0000i | 1.87269i | 0.351085 | + | 0.936344i | \(0.385813\pi\) | ||||
−0.351085 | + | 0.936344i | \(0.614187\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 10.3923 | + | 6.00000i | 0.461538 | + | 0.266469i | ||||
\(508\) | −25.9808 | − | 15.0000i | −1.15271 | − | 0.665517i | ||||
\(509\) | 1.00000 | + | 1.73205i | 0.0443242 | + | 0.0767718i | 0.887336 | − | 0.461123i | \(-0.152553\pi\) |
−0.843012 | + | 0.537895i | \(0.819220\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.00000 | + | 5.19615i | −0.265424 | + | 0.229864i | ||||
\(512\) | 32.0000i | 1.41421i | ||||||||
\(513\) | −0.866025 | + | 0.500000i | −0.0382360 | + | 0.0220755i | ||||
\(514\) | 26.0000 | − | 45.0333i | 1.14681 | − | 1.98633i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −5.00000 | − | 8.66025i | −0.220113 | − | 0.381246i | ||||
\(517\) | 12.0000i | 0.527759i | ||||||||
\(518\) | −10.3923 | − | 12.0000i | −0.456612 | − | 0.527250i | ||||
\(519\) | −8.00000 | −0.351161 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.00000 | + | 10.3923i | −0.262865 | + | 0.455295i | −0.967002 | − | 0.254769i | \(-0.918001\pi\) |
0.704137 | + | 0.710064i | \(0.251334\pi\) | |||||||
\(522\) | −6.92820 | − | 4.00000i | −0.303239 | − | 0.175075i | ||||
\(523\) | −26.8468 | + | 15.5000i | −1.17393 | + | 0.677768i | −0.954602 | − | 0.297884i | \(-0.903719\pi\) |
−0.219326 | + | 0.975652i | \(0.570386\pi\) | |||||||
\(524\) | 28.0000 | 1.22319 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.00000 | 0.348817 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 6.92820 | + | 4.00000i | 0.301511 | + | 0.174078i | ||||
\(529\) | −11.5000 | + | 19.9186i | −0.500000 | + | 0.866025i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −12.0000 | −0.520756 | ||||||||
\(532\) | 1.73205 | − | 5.00000i | 0.0750939 | − | 0.216777i | ||||
\(533\) | 10.0000i | 0.433148i | ||||||||
\(534\) | 16.0000 | + | 27.7128i | 0.692388 | + | 1.19925i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.73205 | − | 1.00000i | 0.0747435 | − | 0.0431532i | ||||
\(538\) | − | 12.0000i | − | 0.517357i | ||||||
\(539\) | −13.0000 | + | 5.19615i | −0.559950 | + | 0.223814i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.50000 | + | 16.4545i | 0.408437 | + | 0.707433i | 0.994715 | − | 0.102677i | \(-0.0327407\pi\) |
−0.586278 | + | 0.810110i | \(0.699407\pi\) | |||||||
\(542\) | −27.7128 | − | 16.0000i | −1.19037 | − | 0.687259i | ||||
\(543\) | 11.2583 | + | 6.50000i | 0.483141 | + | 0.278942i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −5.00000 | − | 1.73205i | −0.213980 | − | 0.0741249i | ||||
\(547\) | 28.0000i | 1.19719i | 0.801050 | + | 0.598597i | \(0.204275\pi\) | ||||
−0.801050 | + | 0.598597i | \(0.795725\pi\) | |||||||
\(548\) | 20.7846 | − | 12.0000i | 0.887875 | − | 0.512615i | ||||
\(549\) | 5.00000 | − | 8.66025i | 0.213395 | − | 0.369611i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −2.00000 | − | 3.46410i | −0.0852029 | − | 0.147576i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.59808 | + | 0.500000i | −0.110481 | + | 0.0212622i | ||||
\(554\) | −26.0000 | −1.10463 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.00000 | − | 5.19615i | 0.127228 | − | 0.220366i | ||||
\(557\) | 1.73205 | + | 1.00000i | 0.0733893 | + | 0.0423714i | 0.536246 | − | 0.844062i | \(-0.319842\pi\) |
−0.462856 | + | 0.886433i | \(0.653175\pi\) | |||||||
\(558\) | −15.5885 | + | 9.00000i | −0.659912 | + | 0.381000i | ||||
\(559\) | −5.00000 | −0.211477 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6.92820 | + | 4.00000i | −0.292249 | + | 0.168730i | ||||
\(563\) | −22.5167 | − | 13.0000i | −0.948964 | − | 0.547885i | −0.0562051 | − | 0.998419i | \(-0.517900\pi\) |
−0.892759 | + | 0.450535i | \(0.851233\pi\) | |||||||
\(564\) | −6.00000 | + | 10.3923i | −0.252646 | + | 0.437595i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −22.0000 | −0.924729 | ||||||||
\(567\) | 1.73205 | + | 2.00000i | 0.0727393 | + | 0.0839921i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −13.0000 | − | 22.5167i | −0.544988 | − | 0.943948i | −0.998608 | − | 0.0527519i | \(-0.983201\pi\) |
0.453619 | − | 0.891196i | \(-0.350133\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.50000 | − | 16.4545i | 0.397563 | − | 0.688599i | −0.595862 | − | 0.803087i | \(-0.703189\pi\) |
0.993425 | + | 0.114488i | \(0.0365228\pi\) | |||||||
\(572\) | −3.46410 | + | 2.00000i | −0.144841 | + | 0.0836242i | ||||
\(573\) | − | 10.0000i | − | 0.417756i | ||||||
\(574\) | 10.0000 | + | 51.9615i | 0.417392 | + | 2.16883i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 4.00000 | + | 6.92820i | 0.166667 | + | 0.288675i | ||||
\(577\) | 14.7224 | + | 8.50000i | 0.612903 | + | 0.353860i | 0.774101 | − | 0.633062i | \(-0.218202\pi\) |
−0.161198 | + | 0.986922i | \(0.551536\pi\) | |||||||
\(578\) | −29.4449 | − | 17.0000i | −1.22474 | − | 0.707107i | ||||
\(579\) | 5.50000 | + | 9.52628i | 0.228572 | + | 0.395899i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −15.0000 | − | 5.19615i | −0.622305 | − | 0.215573i | ||||
\(582\) | − | 12.0000i | − | 0.497416i | ||||||
\(583\) | 20.7846 | − | 12.0000i | 0.860811 | − | 0.496989i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.00000 | − | 13.8564i | −0.330477 | − | 0.572403i | ||||
\(587\) | 16.0000i | 0.660391i | 0.943913 | + | 0.330195i | \(0.107115\pi\) | ||||
−0.943913 | + | 0.330195i | \(0.892885\pi\) | |||||||
\(588\) | −13.8564 | − | 2.00000i | −0.571429 | − | 0.0824786i | ||||
\(589\) | −9.00000 | −0.370839 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −8.00000 | + | 13.8564i | −0.329076 | + | 0.569976i | ||||
\(592\) | 10.3923 | + | 6.00000i | 0.427121 | + | 0.246598i | ||||
\(593\) | 5.19615 | − | 3.00000i | 0.213380 | − | 0.123195i | −0.389501 | − | 0.921026i | \(-0.627353\pi\) |
0.602881 | + | 0.797831i | \(0.294019\pi\) | |||||||
\(594\) | 4.00000 | 0.164122 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −24.0000 | −0.983078 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 6.00000 | − | 10.3923i | 0.245153 | − | 0.424618i | −0.717021 | − | 0.697051i | \(-0.754495\pi\) |
0.962175 | + | 0.272433i | \(0.0878284\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −9.00000 | −0.367118 | −0.183559 | − | 0.983009i | \(-0.558762\pi\) | ||||
−0.183559 | + | 0.983009i | \(0.558762\pi\) | |||||||
\(602\) | −25.9808 | + | 5.00000i | −1.05890 | + | 0.203785i | ||||
\(603\) | 5.00000i | 0.203616i | ||||||||
\(604\) | −16.0000 | − | 27.7128i | −0.651031 | − | 1.12762i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −2.00000 | + | 3.46410i | −0.0812444 | + | 0.140720i | ||||
\(607\) | 19.9186 | − | 11.5000i | 0.808470 | − | 0.466771i | −0.0379540 | − | 0.999279i | \(-0.512084\pi\) |
0.846424 | + | 0.532509i | \(0.178751\pi\) | |||||||
\(608\) | 8.00000i | 0.324443i | ||||||||
\(609\) | −8.00000 | + | 6.92820i | −0.324176 | + | 0.280745i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3.00000 | + | 5.19615i | 0.121367 | + | 0.210214i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 29.4449 | + | 17.0000i | 1.18927 | + | 0.686624i | 0.958140 | − | 0.286300i | \(-0.0924254\pi\) |
0.231127 | + | 0.972924i | \(0.425759\pi\) | |||||||
\(614\) | −17.0000 | − | 29.4449i | −0.686064 | − | 1.18830i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 6.00000i | − | 0.241551i | −0.992680 | − | 0.120775i | \(-0.961462\pi\) | ||
0.992680 | − | 0.120775i | \(-0.0385381\pi\) | |||||||
\(618\) | 12.1244 | − | 7.00000i | 0.487713 | − | 0.281581i | ||||
\(619\) | −14.5000 | + | 25.1147i | −0.582804 | + | 1.00945i | 0.412341 | + | 0.911030i | \(0.364711\pi\) |
−0.995145 | + | 0.0984169i | \(0.968622\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 12.0000i | − | 0.481156i | ||||||
\(623\) | 41.5692 | − | 8.00000i | 1.66544 | − | 0.320513i | ||||
\(624\) | 4.00000 | 0.160128 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 1.00000 | − | 1.73205i | 0.0399680 | − | 0.0692267i | ||||
\(627\) | 1.73205 | + | 1.00000i | 0.0691714 | + | 0.0399362i | ||||
\(628\) | 24.2487 | − | 14.0000i | 0.967629 | − | 0.558661i | ||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.00000 | 0.318475 | 0.159237 | − | 0.987240i | \(-0.449096\pi\) | ||||
0.159237 | + | 0.987240i | \(0.449096\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 3.46410 | + | 2.00000i | 0.137686 | + | 0.0794929i | ||||
\(634\) | 24.0000 | − | 41.5692i | 0.953162 | − | 1.65092i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 24.0000 | 0.951662 | ||||||||
\(637\) | −4.33013 | + | 5.50000i | −0.171566 | + | 0.217918i | ||||
\(638\) | 16.0000i | 0.633446i | ||||||||
\(639\) | −3.00000 | − | 5.19615i | −0.118678 | − | 0.205557i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(642\) | −13.8564 | + | 8.00000i | −0.546869 | + | 0.315735i | ||||
\(643\) | 19.0000i | 0.749287i | 0.927169 | + | 0.374643i | \(0.122235\pi\) | ||||
−0.927169 | + | 0.374643i | \(0.877765\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1.73205 | − | 1.00000i | −0.0680939 | − | 0.0393141i | 0.465566 | − | 0.885013i | \(-0.345851\pi\) |
−0.533660 | + | 0.845699i | \(0.679184\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 12.0000 | + | 20.7846i | 0.471041 | + | 0.815867i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 4.50000 | + | 23.3827i | 0.176369 | + | 0.916440i | ||||
\(652\) | 8.00000i | 0.313304i | ||||||||
\(653\) | −15.5885 | + | 9.00000i | −0.610023 | + | 0.352197i | −0.772975 | − | 0.634437i | \(-0.781232\pi\) |
0.162951 | + | 0.986634i | \(0.447899\pi\) | |||||||
\(654\) | 9.00000 | − | 15.5885i | 0.351928 | − | 0.609557i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −20.0000 | − | 34.6410i | −0.780869 | − | 1.35250i | ||||
\(657\) | − | 3.00000i | − | 0.117041i | ||||||
\(658\) | 20.7846 | + | 24.0000i | 0.810268 | + | 0.935617i | ||||
\(659\) | −36.0000 | −1.40236 | −0.701180 | − | 0.712984i | \(-0.747343\pi\) | ||||
−0.701180 | + | 0.712984i | \(0.747343\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 20.5000 | − | 35.5070i | 0.797358 | − | 1.38106i | −0.123974 | − | 0.992286i | \(-0.539564\pi\) |
0.921331 | − | 0.388778i | \(-0.127103\pi\) | |||||||
\(662\) | 43.3013 | + | 25.0000i | 1.68295 | + | 0.971653i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 6.00000 | 0.232495 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −24.2487 | − | 14.0000i | −0.938211 | − | 0.541676i | ||||
\(669\) | 8.00000 | − | 13.8564i | 0.309298 | − | 0.535720i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −20.0000 | −0.772091 | ||||||||
\(672\) | 20.7846 | − | 4.00000i | 0.801784 | − | 0.154303i | ||||
\(673\) | 41.0000i | 1.58043i | 0.612827 | + | 0.790217i | \(0.290032\pi\) | ||||
−0.612827 | + | 0.790217i | \(0.709968\pi\) | |||||||
\(674\) | 13.0000 | + | 22.5167i | 0.500741 | + | 0.867309i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.0000 | − | 20.7846i | 0.461538 | − | 0.799408i | ||||
\(677\) | 10.3923 | − | 6.00000i | 0.399409 | − | 0.230599i | −0.286820 | − | 0.957984i | \(-0.592598\pi\) |
0.686229 | + | 0.727386i | \(0.259265\pi\) | |||||||
\(678\) | − | 20.0000i | − | 0.768095i | ||||||
\(679\) | −15.0000 | − | 5.19615i | −0.575647 | − | 0.199410i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −9.00000 | − | 15.5885i | −0.344881 | − | 0.597351i | ||||
\(682\) | 31.1769 | + | 18.0000i | 1.19383 | + | 0.689256i | ||||
\(683\) | −10.3923 | − | 6.00000i | −0.397650 | − | 0.229584i | 0.287819 | − | 0.957685i | \(-0.407070\pi\) |
−0.685470 | + | 0.728101i | \(0.740403\pi\) | |||||||
\(684\) | 1.00000 | + | 1.73205i | 0.0382360 | + | 0.0662266i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −17.0000 | + | 32.9090i | −0.649063 | + | 1.25647i | ||||
\(687\) | − | 19.0000i | − | 0.724895i | ||||||
\(688\) | 17.3205 | − | 10.0000i | 0.660338 | − | 0.381246i | ||||
\(689\) | 6.00000 | − | 10.3923i | 0.228582 | − | 0.395915i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.5000 | + | 32.0429i | 0.703773 | + | 1.21897i | 0.967132 | + | 0.254273i | \(0.0818362\pi\) |
−0.263359 | + | 0.964698i | \(0.584830\pi\) | |||||||
\(692\) | 16.0000i | 0.608229i | ||||||||
\(693\) | 1.73205 | − | 5.00000i | 0.0657952 | − | 0.189934i | ||||
\(694\) | −64.0000 | −2.42941 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 24.2487 | − | 14.0000i | 0.917827 | − | 0.529908i | ||||
\(699\) | −6.00000 | −0.226941 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(702\) | 1.73205 | − | 1.00000i | 0.0653720 | − | 0.0377426i | ||||
\(703\) | 2.59808 | + | 1.50000i | 0.0979883 | + | 0.0565736i | ||||
\(704\) | 8.00000 | − | 13.8564i | 0.301511 | − | 0.522233i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 68.0000 | 2.55921 | ||||||||
\(707\) | 3.46410 | + | 4.00000i | 0.130281 | + | 0.150435i | ||||
\(708\) | 24.0000i | 0.901975i | ||||||||
\(709\) | 15.0000 | + | 25.9808i | 0.563337 | + | 0.975728i | 0.997202 | + | 0.0747503i | \(0.0238160\pi\) |
−0.433865 | + | 0.900978i | \(0.642851\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.500000 | − | 0.866025i | 0.0187515 | − | 0.0324785i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −2.00000 | − | 3.46410i | −0.0747435 | − | 0.129460i | ||||
\(717\) | −5.19615 | − | 3.00000i | −0.194054 | − | 0.112037i | ||||
\(718\) | 34.6410 | + | 20.0000i | 1.29279 | + | 0.746393i | ||||
\(719\) | −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 | ||||||||
\(721\) | −3.50000 | − | 18.1865i | −0.130347 | − | 0.677302i | ||||
\(722\) | − | 36.0000i | − | 1.33978i | ||||||
\(723\) | −12.1244 | + | 7.00000i | −0.450910 | + | 0.260333i | ||||
\(724\) | 13.0000 | − | 22.5167i | 0.483141 | − | 0.836825i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 7.00000 | + | 12.1244i | 0.259794 | + | 0.449977i | ||||
\(727\) | − | 13.0000i | − | 0.482143i | −0.970507 | − | 0.241072i | \(-0.922501\pi\) | ||
0.970507 | − | 0.241072i | \(-0.0774989\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −17.3205 | − | 10.0000i | −0.640184 | − | 0.369611i | ||||
\(733\) | 12.9904 | − | 7.50000i | 0.479811 | − | 0.277019i | −0.240527 | − | 0.970642i | \(-0.577320\pi\) |
0.720338 | + | 0.693624i | \(0.243987\pi\) | |||||||
\(734\) | 18.0000 | 0.664392 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 8.66025 | − | 5.00000i | 0.319005 | − | 0.184177i | ||||
\(738\) | −17.3205 | − | 10.0000i | −0.637577 | − | 0.368105i | ||||
\(739\) | −7.50000 | + | 12.9904i | −0.275892 | + | 0.477859i | −0.970360 | − | 0.241665i | \(-0.922307\pi\) |
0.694468 | + | 0.719524i | \(0.255640\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.00000 | 0.0367359 | ||||||||
\(742\) | 20.7846 | − | 60.0000i | 0.763027 | − | 2.20267i | ||||
\(743\) | − | 42.0000i | − | 1.54083i | −0.637542 | − | 0.770415i | \(-0.720049\pi\) | ||
0.637542 | − | 0.770415i | \(-0.279951\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −23.0000 | + | 39.8372i | −0.842090 | + | 1.45854i | ||||
\(747\) | 5.19615 | − | 3.00000i | 0.190117 | − | 0.109764i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.00000 | + | 20.7846i | 0.146157 | + | 0.759453i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.50000 | − | 11.2583i | −0.237188 | − | 0.410822i | 0.722718 | − | 0.691143i | \(-0.242893\pi\) |
−0.959906 | + | 0.280321i | \(0.909559\pi\) | |||||||
\(752\) | −20.7846 | − | 12.0000i | −0.757937 | − | 0.437595i | ||||
\(753\) | −6.92820 | − | 4.00000i | −0.252478 | − | 0.145768i | ||||
\(754\) | 4.00000 | + | 6.92820i | 0.145671 | + | 0.252310i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 4.00000 | − | 3.46410i | 0.145479 | − | 0.125988i | ||||
\(757\) | − | 22.0000i | − | 0.799604i | −0.916602 | − | 0.399802i | \(-0.869079\pi\) | ||
0.916602 | − | 0.399802i | \(-0.130921\pi\) | |||||||
\(758\) | −5.19615 | + | 3.00000i | −0.188733 | + | 0.108965i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 24.0000 | + | 41.5692i | 0.869999 | + | 1.50688i | 0.861996 | + | 0.506915i | \(0.169214\pi\) |
0.00800331 | + | 0.999968i | \(0.497452\pi\) | |||||||
\(762\) | − | 30.0000i | − | 1.08679i | ||||||
\(763\) | −15.5885 | − | 18.0000i | −0.564340 | − | 0.651644i | ||||
\(764\) | −20.0000 | −0.723575 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 12.0000 | − | 20.7846i | 0.433578 | − | 0.750978i | ||||
\(767\) | 10.3923 | + | 6.00000i | 0.375244 | + | 0.216647i | ||||
\(768\) | −13.8564 | + | 8.00000i | −0.500000 | + | 0.288675i | ||||
\(769\) | 49.0000 | 1.76699 | 0.883493 | − | 0.468445i | \(-0.155186\pi\) | ||||
0.883493 | + | 0.468445i | \(0.155186\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 26.0000 | 0.936367 | ||||||||
\(772\) | 19.0526 | − | 11.0000i | 0.685717 | − | 0.395899i | ||||
\(773\) | −29.4449 | − | 17.0000i | −1.05906 | − | 0.611448i | −0.133887 | − | 0.990997i | \(-0.542746\pi\) |
−0.925172 | + | 0.379549i | \(0.876079\pi\) | |||||||
\(774\) | 5.00000 | − | 8.66025i | 0.179721 | − | 0.311286i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 2.59808 | − | 7.50000i | 0.0932055 | − | 0.269061i | ||||
\(778\) | 12.0000i | 0.430221i | ||||||||
\(779\) | −5.00000 | − | 8.66025i | −0.179144 | − | 0.310286i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.00000 | + | 10.3923i | −0.214697 | + | 0.371866i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 4.00000i | − | 0.142948i | ||||||
\(784\) | 4.00000 | − | 27.7128i | 0.142857 | − | 0.989743i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 14.0000 | + | 24.2487i | 0.499363 | + | 0.864923i | ||||
\(787\) | −34.6410 | − | 20.0000i | −1.23482 | − | 0.712923i | −0.266788 | − | 0.963755i | \(-0.585962\pi\) |
−0.968031 | + | 0.250832i | \(0.919296\pi\) | |||||||
\(788\) | 27.7128 | + | 16.0000i | 0.987228 | + | 0.569976i | ||||
\(789\) | 2.00000 | + | 3.46410i | 0.0712019 | + | 0.123325i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −25.0000 | − | 8.66025i | −0.888898 | − | 0.307923i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.66025 | + | 5.00000i | −0.307535 | + | 0.177555i | ||||
\(794\) | −9.00000 | + | 15.5885i | −0.319398 | + | 0.553214i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − | 8.00000i | − | 0.283375i | −0.989911 | − | 0.141687i | \(-0.954747\pi\) | ||
0.989911 | − | 0.141687i | \(-0.0452527\pi\) | |||||||
\(798\) | 5.19615 | − | 1.00000i | 0.183942 | − | 0.0353996i | ||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −8.00000 | + | 13.8564i | −0.282666 | + | 0.489592i | ||||
\(802\) | 62.3538 | + | 36.0000i | 2.20179 | + | 1.27120i | ||||
\(803\) | −5.19615 | + | 3.00000i | −0.183368 | + | 0.105868i | ||||
\(804\) | 10.0000 | 0.352673 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 18.0000 | 0.634023 | ||||||||
\(807\) | 5.19615 | − | 3.00000i | 0.182913 | − | 0.105605i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 15.0000 | − | 25.9808i | 0.527372 | − | 0.913435i | −0.472119 | − | 0.881535i | \(-0.656511\pi\) |
0.999491 | − | 0.0319002i | \(-0.0101559\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 32.0000 | 1.12367 | 0.561836 | − | 0.827249i | \(-0.310095\pi\) | ||||
0.561836 | + | 0.827249i | \(0.310095\pi\) | |||||||
\(812\) | 13.8564 | + | 16.0000i | 0.486265 | + | 0.561490i | ||||
\(813\) | − | 16.0000i | − | 0.561144i | ||||||
\(814\) | −6.00000 | − | 10.3923i | −0.210300 | − | 0.364250i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.33013 | − | 2.50000i | 0.151492 | − | 0.0874639i | ||||
\(818\) | − | 10.0000i | − | 0.349642i | ||||||
\(819\) | −0.500000 | − | 2.59808i | −0.0174714 | − | 0.0907841i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −1.00000 | − | 1.73205i | −0.0349002 | − | 0.0604490i | 0.848048 | − | 0.529920i | \(-0.177778\pi\) |
−0.882948 | + | 0.469471i | \(0.844445\pi\) | |||||||
\(822\) | 20.7846 | + | 12.0000i | 0.724947 | + | 0.418548i | ||||
\(823\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 60.0000 | + | 20.7846i | 2.08767 | + | 0.723189i | ||||
\(827\) | − | 30.0000i | − | 1.04320i | −0.853189 | − | 0.521601i | \(-0.825335\pi\) | ||
0.853189 | − | 0.521601i | \(-0.174665\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 20.5000 | − | 35.5070i | 0.711994 | − | 1.23321i | −0.252113 | − | 0.967698i | \(-0.581125\pi\) |
0.964107 | − | 0.265513i | \(-0.0855412\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −6.50000 | − | 11.2583i | −0.225483 | − | 0.390547i | ||||
\(832\) | − | 8.00000i | − | 0.277350i | ||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 6.00000 | 0.207763 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 2.00000 | − | 3.46410i | 0.0691714 | − | 0.119808i | ||||
\(837\) | −7.79423 | − | 4.50000i | −0.269408 | − | 0.155543i | ||||
\(838\) | −51.9615 | + | 30.0000i | −1.79498 | + | 1.03633i | ||||
\(839\) | 44.0000 | 1.51905 | 0.759524 | − | 0.650479i | \(-0.225432\pi\) | ||||
0.759524 | + | 0.650479i | \(0.225432\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.0000 | −0.448276 | ||||||||
\(842\) | −12.1244 | + | 7.00000i | −0.417833 | + | 0.241236i | ||||
\(843\) | −3.46410 | − | 2.00000i | −0.119310 | − | 0.0688837i | ||||
\(844\) | 4.00000 | − | 6.92820i | 0.137686 | − | 0.238479i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −12.0000 | −0.412568 | ||||||||
\(847\) | 18.1865 | − | 3.50000i | 0.624897 | − | 0.120261i | ||||
\(848\) | 48.0000i | 1.64833i | ||||||||
\(849\) | −5.50000 | − | 9.52628i | −0.188760 | − | 0.326941i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | −10.3923 | + | 6.00000i | −0.356034 | + | 0.205557i | ||||
\(853\) | − | 35.0000i | − | 1.19838i | −0.800608 | − | 0.599189i | \(-0.795490\pi\) | ||
0.800608 | − | 0.599189i | \(-0.204510\pi\) | |||||||
\(854\) | −40.0000 | + | 34.6410i | −1.36877 | + | 1.18539i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 27.7128 | + | 16.0000i | 0.946652 | + | 0.546550i | 0.892039 | − | 0.451958i | \(-0.149274\pi\) |
0.0546125 | + | 0.998508i | \(0.482608\pi\) | |||||||
\(858\) | −3.46410 | − | 2.00000i | −0.118262 | − | 0.0682789i | ||||
\(859\) | −20.0000 | − | 34.6410i | −0.682391 | − | 1.18194i | −0.974249 | − | 0.225475i | \(-0.927607\pi\) |
0.291858 | − | 0.956462i | \(-0.405727\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −20.0000 | + | 17.3205i | −0.681598 | + | 0.590281i | ||||
\(862\) | − | 36.0000i | − | 1.22616i | ||||||
\(863\) | 46.7654 | − | 27.0000i | 1.59191 | − | 0.919091i | 0.598933 | − | 0.800799i | \(-0.295592\pi\) |
0.992979 | − | 0.118291i | \(-0.0377417\pi\) | |||||||
\(864\) | −4.00000 | + | 6.92820i | −0.136083 | + | 0.235702i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −31.0000 | − | 53.6936i | −1.05342 | − | 1.82458i | ||||
\(867\) | − | 17.0000i | − | 0.577350i | ||||||
\(868\) | 46.7654 | − | 9.00000i | 1.58732 | − | 0.305480i | ||||
\(869\) | −2.00000 | −0.0678454 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.50000 | − | 4.33013i | 0.0847093 | − | 0.146721i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 5.19615 | − | 3.00000i | 0.175863 | − | 0.101535i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −6.00000 | −0.202721 | ||||||||
\(877\) | −32.9090 | + | 19.0000i | −1.11126 | + | 0.641584i | −0.939155 | − | 0.343495i | \(-0.888389\pi\) |
−0.172102 | + | 0.985079i | \(0.555056\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 4.00000 | − | 6.92820i | 0.134917 | − | 0.233682i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 24.0000 | 0.808581 | 0.404290 | − | 0.914631i | \(-0.367519\pi\) | ||||
0.404290 | + | 0.914631i | \(0.367519\pi\) | |||||||
\(882\) | −5.19615 | − | 13.0000i | −0.174964 | − | 0.437733i | ||||
\(883\) | 13.0000i | 0.437485i | 0.975783 | + | 0.218742i | \(0.0701954\pi\) | ||||
−0.975783 | + | 0.218742i | \(0.929805\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −12.0000 | + | 20.7846i | −0.403148 | + | 0.698273i | ||||
\(887\) | −29.4449 | + | 17.0000i | −0.988662 | + | 0.570804i | −0.904874 | − | 0.425679i | \(-0.860035\pi\) |
−0.0837878 | + | 0.996484i | \(0.526702\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −37.5000 | − | 12.9904i | −1.25771 | − | 0.435683i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.00000 | + | 1.73205i | 0.0335013 | + | 0.0580259i | ||||
\(892\) | −27.7128 | − | 16.0000i | −0.927894 | − | 0.535720i | ||||
\(893\) | −5.19615 | − | 3.00000i | −0.173883 | − | 0.100391i | ||||
\(894\) | −12.0000 | − | 20.7846i | −0.401340 | − | 0.695141i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 31.1769 | − | 18.0000i | 1.04039 | − | 0.600668i | ||||
\(899\) | 18.0000 | − | 31.1769i | 0.600334 | − | 1.03981i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 40.0000i | 1.33185i | ||||||||
\(903\) | −8.66025 | − | 10.0000i | −0.288195 | − | 0.332779i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 16.0000 | − | 27.7128i | 0.531564 | − | 0.920697i | ||||
\(907\) | 32.0429 | + | 18.5000i | 1.06397 | + | 0.614282i | 0.926527 | − | 0.376228i | \(-0.122779\pi\) |
0.137441 | + | 0.990510i | \(0.456112\pi\) | |||||||
\(908\) | −31.1769 | + | 18.0000i | −1.03464 | + | 0.597351i | ||||
\(909\) | −2.00000 | −0.0663358 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −24.0000 | −0.795155 | −0.397578 | − | 0.917568i | \(-0.630149\pi\) | ||||
−0.397578 | + | 0.917568i | \(0.630149\pi\) | |||||||
\(912\) | −3.46410 | + | 2.00000i | −0.114708 | + | 0.0662266i | ||||
\(913\) | −10.3923 | − | 6.00000i | −0.343935 | − | 0.198571i | ||||
\(914\) | −11.0000 | + | 19.0526i | −0.363848 | + | 0.630203i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −38.0000 | −1.25556 | ||||||||
\(917\) | 36.3731 | − | 7.00000i | 1.20114 | − | 0.231160i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 11.5000 | + | 19.9186i | 0.379350 | + | 0.657053i | 0.990968 | − | 0.134100i | \(-0.0428143\pi\) |
−0.611618 | + | 0.791153i | \(0.709481\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 8.50000 | − | 14.7224i | 0.280085 | − | 0.485121i | ||||
\(922\) | 34.6410 | − | 20.0000i | 1.14084 | − | 0.658665i | ||||
\(923\) | 6.00000i | 0.197492i | ||||||||
\(924\) | −10.0000 | − | 3.46410i | −0.328976 | − | 0.113961i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 17.0000 | + | 29.4449i | 0.558655 | + | 0.967618i | ||||
\(927\) | 6.06218 | + | 3.50000i | 0.199108 | + | 0.114955i | ||||
\(928\) | −27.7128 | − | 16.0000i | −0.909718 | − | 0.525226i | ||||
\(929\) | 7.00000 | + | 12.1244i | 0.229663 | + | 0.397787i | 0.957708 | − | 0.287742i | \(-0.0929044\pi\) |
−0.728046 | + | 0.685529i | \(0.759571\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.00000 | − | 6.92820i | 0.0327737 | − | 0.227063i | ||||
\(932\) | 12.0000i | 0.393073i | ||||||||
\(933\) | 5.19615 | − | 3.00000i | 0.170114 | − | 0.0982156i | ||||
\(934\) | 6.00000 | − | 10.3923i | 0.196326 | − | 0.340047i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 15.0000i | 0.490029i | 0.969519 | + | 0.245014i | \(0.0787927\pi\) | ||||
−0.969519 | + | 0.245014i | \(0.921207\pi\) | |||||||
\(938\) | 8.66025 | − | 25.0000i | 0.282767 | − | 0.816279i | ||||
\(939\) | 1.00000 | 0.0326338 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 2.00000 | − | 3.46410i | 0.0651981 | − | 0.112926i | −0.831584 | − | 0.555399i | \(-0.812565\pi\) |
0.896782 | + | 0.442473i | \(0.145899\pi\) | |||||||
\(942\) | 24.2487 | + | 14.0000i | 0.790066 | + | 0.456145i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | −48.0000 | −1.56227 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −20.0000 | −0.650256 | ||||||||
\(947\) | −8.66025 | + | 5.00000i | −0.281420 | + | 0.162478i | −0.634066 | − | 0.773279i | \(-0.718615\pi\) |
0.352646 | + | 0.935757i | \(0.385282\pi\) | |||||||
\(948\) | −1.73205 | − | 1.00000i | −0.0562544 | − | 0.0324785i | ||||
\(949\) | −1.50000 | + | 2.59808i | −0.0486921 | + | 0.0843371i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 24.0000 | 0.778253 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 44.0000i | − | 1.42530i | −0.701520 | − | 0.712650i | \(-0.747495\pi\) | ||
0.701520 | − | 0.712650i | \(-0.252505\pi\) | |||||||
\(954\) | 12.0000 | + | 20.7846i | 0.388514 | + | 0.672927i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −6.00000 | + | 10.3923i | −0.194054 | + | 0.336111i | ||||
\(957\) | −6.92820 | + | 4.00000i | −0.223957 | + | 0.129302i | ||||
\(958\) | 56.0000i | 1.80928i | ||||||||
\(959\) | 24.0000 | − | 20.7846i | 0.775000 | − | 0.671170i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −25.0000 | − | 43.3013i | −0.806452 | − | 1.39682i | ||||
\(962\) | −5.19615 | − | 3.00000i | −0.167531 | − | 0.0967239i | ||||
\(963\) | −6.92820 | − | 4.00000i | −0.223258 | − | 0.128898i | ||||
\(964\) | 14.0000 | + | 24.2487i | 0.450910 | + | 0.780998i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 19.0000i | 0.610999i | 0.952192 | + | 0.305499i | \(0.0988234\pi\) | ||||
−0.952192 | + | 0.305499i | \(0.901177\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −18.0000 | − | 31.1769i | −0.577647 | − | 1.00051i | −0.995748 | − | 0.0921142i | \(-0.970638\pi\) |
0.418101 | − | 0.908401i | \(-0.362696\pi\) | |||||||
\(972\) | 2.00000i | 0.0641500i | ||||||||
\(973\) | 2.59808 | − | 7.50000i | 0.0832905 | − | 0.240439i | ||||
\(974\) | −62.0000 | −1.98661 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 20.0000 | − | 34.6410i | 0.640184 | − | 1.10883i | ||||
\(977\) | 15.5885 | + | 9.00000i | 0.498719 | + | 0.287936i | 0.728184 | − | 0.685381i | \(-0.240364\pi\) |
−0.229465 | + | 0.973317i | \(0.573698\pi\) | |||||||
\(978\) | −6.92820 | + | 4.00000i | −0.221540 | + | 0.127906i | ||||
\(979\) | 32.0000 | 1.02272 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 9.00000 | 0.287348 | ||||||||
\(982\) | −48.4974 | + | 28.0000i | −1.54761 | + | 0.893516i | ||||
\(983\) | 31.1769 | + | 18.0000i | 0.994389 | + | 0.574111i | 0.906583 | − | 0.422027i | \(-0.138681\pi\) |
0.0878058 | + | 0.996138i | \(0.472015\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −5.19615 | + | 15.0000i | −0.165395 | + | 0.477455i | ||||
\(988\) | − | 2.00000i | − | 0.0636285i | ||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.50000 | + | 14.7224i | −0.270011 | + | 0.467673i | −0.968864 | − | 0.247592i | \(-0.920361\pi\) |
0.698853 | + | 0.715265i | \(0.253694\pi\) | |||||||
\(992\) | −62.3538 | + | 36.0000i | −1.97974 | + | 1.14300i | ||||
\(993\) | 25.0000i | 0.793351i | ||||||||
\(994\) | 6.00000 | + | 31.1769i | 0.190308 | + | 0.988872i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −6.00000 | − | 10.3923i | −0.190117 | − | 0.329293i | ||||
\(997\) | −16.4545 | − | 9.50000i | −0.521119 | − | 0.300868i | 0.216274 | − | 0.976333i | \(-0.430610\pi\) |
−0.737392 | + | 0.675465i | \(0.763943\pi\) | |||||||
\(998\) | 64.0859 | + | 37.0000i | 2.02860 | + | 1.17121i | ||||
\(999\) | 1.50000 | + | 2.59808i | 0.0474579 | + | 0.0821995i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))