Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(429,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.429");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.c (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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 653.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.653 |
Dual form | 722.2.c.b.429.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | 0.500000 | + | 0.866025i | 0.288675 | + | 0.500000i | 0.973494 | − | 0.228714i | \(-0.0734519\pi\) |
−0.684819 | + | 0.728714i | \(0.740119\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(6\) | 0.500000 | − | 0.866025i | 0.204124 | − | 0.353553i | ||||
\(7\) | −4.00000 | −1.51186 | −0.755929 | − | 0.654654i | \(-0.772814\pi\) | ||||
−0.755929 | + | 0.654654i | \(0.772814\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 1.00000 | − | 1.73205i | 0.333333 | − | 0.577350i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.00000 | 0.904534 | 0.452267 | − | 0.891883i | \(-0.350615\pi\) | ||||
0.452267 | + | 0.891883i | \(0.350615\pi\) | |||||||
\(12\) | −1.00000 | −0.288675 | ||||||||
\(13\) | 1.00000 | − | 1.73205i | 0.277350 | − | 0.480384i | −0.693375 | − | 0.720577i | \(-0.743877\pi\) |
0.970725 | + | 0.240192i | \(0.0772105\pi\) | |||||||
\(14\) | 2.00000 | + | 3.46410i | 0.534522 | + | 0.925820i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 3.00000 | + | 5.19615i | 0.727607 | + | 1.26025i | 0.957892 | + | 0.287129i | \(0.0927008\pi\) |
−0.230285 | + | 0.973123i | \(0.573966\pi\) | |||||||
\(18\) | −2.00000 | −0.471405 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.00000 | − | 3.46410i | −0.436436 | − | 0.755929i | ||||
\(22\) | −1.50000 | − | 2.59808i | −0.319801 | − | 0.553912i | ||||
\(23\) | 3.00000 | − | 5.19615i | 0.625543 | − | 1.08347i | −0.362892 | − | 0.931831i | \(-0.618211\pi\) |
0.988436 | − | 0.151642i | \(-0.0484560\pi\) | |||||||
\(24\) | 0.500000 | + | 0.866025i | 0.102062 | + | 0.176777i | ||||
\(25\) | 2.50000 | − | 4.33013i | 0.500000 | − | 0.866025i | ||||
\(26\) | −2.00000 | −0.392232 | ||||||||
\(27\) | 5.00000 | 0.962250 | ||||||||
\(28\) | 2.00000 | − | 3.46410i | 0.377964 | − | 0.654654i | ||||
\(29\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.00000 | −0.359211 | −0.179605 | − | 0.983739i | \(-0.557482\pi\) | ||||
−0.179605 | + | 0.983739i | \(0.557482\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 1.50000 | + | 2.59808i | 0.261116 | + | 0.452267i | ||||
\(34\) | 3.00000 | − | 5.19615i | 0.514496 | − | 0.891133i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.00000 | + | 1.73205i | 0.166667 | + | 0.288675i | ||||
\(37\) | 10.0000 | 1.64399 | 0.821995 | − | 0.569495i | \(-0.192861\pi\) | ||||
0.821995 | + | 0.569495i | \(0.192861\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.00000 | 0.320256 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.50000 | + | 7.79423i | 0.702782 | + | 1.21725i | 0.967486 | + | 0.252924i | \(0.0813924\pi\) |
−0.264704 | + | 0.964330i | \(0.585274\pi\) | |||||||
\(42\) | −2.00000 | + | 3.46410i | −0.308607 | + | 0.534522i | ||||
\(43\) | 2.00000 | + | 3.46410i | 0.304997 | + | 0.528271i | 0.977261 | − | 0.212041i | \(-0.0680112\pi\) |
−0.672264 | + | 0.740312i | \(0.734678\pi\) | |||||||
\(44\) | −1.50000 | + | 2.59808i | −0.226134 | + | 0.391675i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.00000 | −0.884652 | ||||||||
\(47\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(48\) | 0.500000 | − | 0.866025i | 0.0721688 | − | 0.125000i | ||||
\(49\) | 9.00000 | 1.28571 | ||||||||
\(50\) | −5.00000 | −0.707107 | ||||||||
\(51\) | −3.00000 | + | 5.19615i | −0.420084 | + | 0.727607i | ||||
\(52\) | 1.00000 | + | 1.73205i | 0.138675 | + | 0.240192i | ||||
\(53\) | 3.00000 | − | 5.19615i | 0.412082 | − | 0.713746i | −0.583036 | − | 0.812447i | \(-0.698135\pi\) |
0.995117 | + | 0.0987002i | \(0.0314685\pi\) | |||||||
\(54\) | −2.50000 | − | 4.33013i | −0.340207 | − | 0.589256i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −4.00000 | −0.534522 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.50000 | − | 7.79423i | −0.585850 | − | 1.01472i | −0.994769 | − | 0.102151i | \(-0.967427\pi\) |
0.408919 | − | 0.912571i | \(-0.365906\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.00000 | − | 3.46410i | 0.256074 | − | 0.443533i | −0.709113 | − | 0.705095i | \(-0.750904\pi\) |
0.965187 | + | 0.261562i | \(0.0842377\pi\) | |||||||
\(62\) | 1.00000 | + | 1.73205i | 0.127000 | + | 0.219971i | ||||
\(63\) | −4.00000 | + | 6.92820i | −0.503953 | + | 0.872872i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.50000 | − | 2.59808i | 0.184637 | − | 0.319801i | ||||
\(67\) | −3.50000 | + | 6.06218i | −0.427593 | + | 0.740613i | −0.996659 | − | 0.0816792i | \(-0.973972\pi\) |
0.569066 | + | 0.822292i | \(0.307305\pi\) | |||||||
\(68\) | −6.00000 | −0.727607 | ||||||||
\(69\) | 6.00000 | 0.722315 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.00000 | − | 5.19615i | −0.356034 | − | 0.616670i | 0.631260 | − | 0.775571i | \(-0.282538\pi\) |
−0.987294 | + | 0.158901i | \(0.949205\pi\) | |||||||
\(72\) | 1.00000 | − | 1.73205i | 0.117851 | − | 0.204124i | ||||
\(73\) | 0.500000 | + | 0.866025i | 0.0585206 | + | 0.101361i | 0.893801 | − | 0.448463i | \(-0.148028\pi\) |
−0.835281 | + | 0.549823i | \(0.814695\pi\) | |||||||
\(74\) | −5.00000 | − | 8.66025i | −0.581238 | − | 1.00673i | ||||
\(75\) | 5.00000 | 0.577350 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −12.0000 | −1.36753 | ||||||||
\(78\) | −1.00000 | − | 1.73205i | −0.113228 | − | 0.196116i | ||||
\(79\) | −2.00000 | − | 3.46410i | −0.225018 | − | 0.389742i | 0.731307 | − | 0.682048i | \(-0.238911\pi\) |
−0.956325 | + | 0.292306i | \(0.905577\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 4.50000 | − | 7.79423i | 0.496942 | − | 0.860729i | ||||
\(83\) | 3.00000 | 0.329293 | 0.164646 | − | 0.986353i | \(-0.447352\pi\) | ||||
0.164646 | + | 0.986353i | \(0.447352\pi\) | |||||||
\(84\) | 4.00000 | 0.436436 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.00000 | − | 3.46410i | 0.215666 | − | 0.373544i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.00000 | 0.319801 | ||||||||
\(89\) | 3.00000 | − | 5.19615i | 0.317999 | − | 0.550791i | −0.662071 | − | 0.749441i | \(-0.730322\pi\) |
0.980071 | + | 0.198650i | \(0.0636557\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.00000 | + | 6.92820i | −0.419314 | + | 0.726273i | ||||
\(92\) | 3.00000 | + | 5.19615i | 0.312772 | + | 0.541736i | ||||
\(93\) | −1.00000 | − | 1.73205i | −0.103695 | − | 0.179605i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | 8.50000 | + | 14.7224i | 0.863044 | + | 1.49484i | 0.868976 | + | 0.494854i | \(0.164778\pi\) |
−0.00593185 | + | 0.999982i | \(0.501888\pi\) | |||||||
\(98\) | −4.50000 | − | 7.79423i | −0.454569 | − | 0.787336i | ||||
\(99\) | 3.00000 | − | 5.19615i | 0.301511 | − | 0.522233i | ||||
\(100\) | 2.50000 | + | 4.33013i | 0.250000 | + | 0.433013i | ||||
\(101\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(102\) | 6.00000 | 0.594089 | ||||||||
\(103\) | −2.00000 | −0.197066 | −0.0985329 | − | 0.995134i | \(-0.531415\pi\) | ||||
−0.0985329 | + | 0.995134i | \(0.531415\pi\) | |||||||
\(104\) | 1.00000 | − | 1.73205i | 0.0980581 | − | 0.169842i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.00000 | −0.582772 | ||||||||
\(107\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(108\) | −2.50000 | + | 4.33013i | −0.240563 | + | 0.416667i | ||||
\(109\) | −8.00000 | − | 13.8564i | −0.766261 | − | 1.32720i | −0.939577 | − | 0.342337i | \(-0.888782\pi\) |
0.173316 | − | 0.984866i | \(-0.444552\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.00000 | + | 8.66025i | 0.474579 | + | 0.821995i | ||||
\(112\) | 2.00000 | + | 3.46410i | 0.188982 | + | 0.327327i | ||||
\(113\) | −15.0000 | −1.41108 | −0.705541 | − | 0.708669i | \(-0.749296\pi\) | ||||
−0.705541 | + | 0.708669i | \(0.749296\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.00000 | − | 3.46410i | −0.184900 | − | 0.320256i | ||||
\(118\) | −4.50000 | + | 7.79423i | −0.414259 | + | 0.717517i | ||||
\(119\) | −12.0000 | − | 20.7846i | −1.10004 | − | 1.90532i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.00000 | −0.181818 | ||||||||
\(122\) | −4.00000 | −0.362143 | ||||||||
\(123\) | −4.50000 | + | 7.79423i | −0.405751 | + | 0.702782i | ||||
\(124\) | 1.00000 | − | 1.73205i | 0.0898027 | − | 0.155543i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 8.00000 | 0.712697 | ||||||||
\(127\) | 1.00000 | − | 1.73205i | 0.0887357 | − | 0.153695i | −0.818241 | − | 0.574875i | \(-0.805051\pi\) |
0.906977 | + | 0.421180i | \(0.138384\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −2.00000 | + | 3.46410i | −0.176090 | + | 0.304997i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.50000 | − | 7.79423i | −0.393167 | − | 0.680985i | 0.599699 | − | 0.800226i | \(-0.295287\pi\) |
−0.992865 | + | 0.119241i | \(0.961954\pi\) | |||||||
\(132\) | −3.00000 | −0.261116 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 7.00000 | 0.604708 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.00000 | + | 5.19615i | 0.257248 | + | 0.445566i | ||||
\(137\) | −4.50000 | + | 7.79423i | −0.384461 | + | 0.665906i | −0.991694 | − | 0.128618i | \(-0.958946\pi\) |
0.607233 | + | 0.794524i | \(0.292279\pi\) | |||||||
\(138\) | −3.00000 | − | 5.19615i | −0.255377 | − | 0.442326i | ||||
\(139\) | −5.50000 | + | 9.52628i | −0.466504 | + | 0.808008i | −0.999268 | − | 0.0382553i | \(-0.987820\pi\) |
0.532764 | + | 0.846264i | \(0.321153\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.00000 | + | 5.19615i | −0.251754 | + | 0.436051i | ||||
\(143\) | 3.00000 | − | 5.19615i | 0.250873 | − | 0.434524i | ||||
\(144\) | −2.00000 | −0.166667 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.500000 | − | 0.866025i | 0.0413803 | − | 0.0716728i | ||||
\(147\) | 4.50000 | + | 7.79423i | 0.371154 | + | 0.642857i | ||||
\(148\) | −5.00000 | + | 8.66025i | −0.410997 | + | 0.711868i | ||||
\(149\) | −9.00000 | − | 15.5885i | −0.737309 | − | 1.27706i | −0.953703 | − | 0.300750i | \(-0.902763\pi\) |
0.216394 | − | 0.976306i | \(-0.430570\pi\) | |||||||
\(150\) | −2.50000 | − | 4.33013i | −0.204124 | − | 0.353553i | ||||
\(151\) | 10.0000 | 0.813788 | 0.406894 | − | 0.913475i | \(-0.366612\pi\) | ||||
0.406894 | + | 0.913475i | \(0.366612\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 12.0000 | 0.970143 | ||||||||
\(154\) | 6.00000 | + | 10.3923i | 0.483494 | + | 0.837436i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −1.00000 | + | 1.73205i | −0.0800641 | + | 0.138675i | ||||
\(157\) | 8.00000 | + | 13.8564i | 0.638470 | + | 1.10586i | 0.985769 | + | 0.168107i | \(0.0537655\pi\) |
−0.347299 | + | 0.937754i | \(0.612901\pi\) | |||||||
\(158\) | −2.00000 | + | 3.46410i | −0.159111 | + | 0.275589i | ||||
\(159\) | 6.00000 | 0.475831 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −12.0000 | + | 20.7846i | −0.945732 | + | 1.63806i | ||||
\(162\) | −0.500000 | + | 0.866025i | −0.0392837 | + | 0.0680414i | ||||
\(163\) | −19.0000 | −1.48819 | −0.744097 | − | 0.668071i | \(-0.767120\pi\) | ||||
−0.744097 | + | 0.668071i | \(0.767120\pi\) | |||||||
\(164\) | −9.00000 | −0.702782 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.50000 | − | 2.59808i | −0.116423 | − | 0.201650i | ||||
\(167\) | −12.0000 | + | 20.7846i | −0.928588 | + | 1.60836i | −0.142901 | + | 0.989737i | \(0.545643\pi\) |
−0.785687 | + | 0.618624i | \(0.787690\pi\) | |||||||
\(168\) | −2.00000 | − | 3.46410i | −0.154303 | − | 0.267261i | ||||
\(169\) | 4.50000 | + | 7.79423i | 0.346154 | + | 0.599556i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.00000 | −0.304997 | ||||||||
\(173\) | 3.00000 | + | 5.19615i | 0.228086 | + | 0.395056i | 0.957241 | − | 0.289292i | \(-0.0934200\pi\) |
−0.729155 | + | 0.684349i | \(0.760087\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −10.0000 | + | 17.3205i | −0.755929 | + | 1.30931i | ||||
\(176\) | −1.50000 | − | 2.59808i | −0.113067 | − | 0.195837i | ||||
\(177\) | 4.50000 | − | 7.79423i | 0.338241 | − | 0.585850i | ||||
\(178\) | −6.00000 | −0.449719 | ||||||||
\(179\) | −9.00000 | −0.672692 | −0.336346 | − | 0.941739i | \(-0.609191\pi\) | ||||
−0.336346 | + | 0.941739i | \(0.609191\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.00000 | − | 1.73205i | 0.0743294 | − | 0.128742i | −0.826465 | − | 0.562988i | \(-0.809652\pi\) |
0.900794 | + | 0.434246i | \(0.142985\pi\) | |||||||
\(182\) | 8.00000 | 0.592999 | ||||||||
\(183\) | 4.00000 | 0.295689 | ||||||||
\(184\) | 3.00000 | − | 5.19615i | 0.221163 | − | 0.383065i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −1.00000 | + | 1.73205i | −0.0733236 | + | 0.127000i | ||||
\(187\) | 9.00000 | + | 15.5885i | 0.658145 | + | 1.13994i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −20.0000 | −1.45479 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.0000 | 0.868290 | 0.434145 | − | 0.900843i | \(-0.357051\pi\) | ||||
0.434145 | + | 0.900843i | \(0.357051\pi\) | |||||||
\(192\) | 0.500000 | + | 0.866025i | 0.0360844 | + | 0.0625000i | ||||
\(193\) | 1.00000 | + | 1.73205i | 0.0719816 | + | 0.124676i | 0.899770 | − | 0.436365i | \(-0.143734\pi\) |
−0.827788 | + | 0.561041i | \(0.810401\pi\) | |||||||
\(194\) | 8.50000 | − | 14.7224i | 0.610264 | − | 1.05701i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.50000 | + | 7.79423i | −0.321429 | + | 0.556731i | ||||
\(197\) | 18.0000 | 1.28245 | 0.641223 | − | 0.767354i | \(-0.278427\pi\) | ||||
0.641223 | + | 0.767354i | \(0.278427\pi\) | |||||||
\(198\) | −6.00000 | −0.426401 | ||||||||
\(199\) | 5.00000 | − | 8.66025i | 0.354441 | − | 0.613909i | −0.632581 | − | 0.774494i | \(-0.718005\pi\) |
0.987022 | + | 0.160585i | \(0.0513380\pi\) | |||||||
\(200\) | 2.50000 | − | 4.33013i | 0.176777 | − | 0.306186i | ||||
\(201\) | −7.00000 | −0.493742 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −3.00000 | − | 5.19615i | −0.210042 | − | 0.363803i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1.00000 | + | 1.73205i | 0.0696733 | + | 0.120678i | ||||
\(207\) | −6.00000 | − | 10.3923i | −0.417029 | − | 0.722315i | ||||
\(208\) | −2.00000 | −0.138675 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.0000 | + | 17.3205i | 0.688428 | + | 1.19239i | 0.972346 | + | 0.233544i | \(0.0750324\pi\) |
−0.283918 | + | 0.958849i | \(0.591634\pi\) | |||||||
\(212\) | 3.00000 | + | 5.19615i | 0.206041 | + | 0.356873i | ||||
\(213\) | 3.00000 | − | 5.19615i | 0.205557 | − | 0.356034i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 5.00000 | 0.340207 | ||||||||
\(217\) | 8.00000 | 0.543075 | ||||||||
\(218\) | −8.00000 | + | 13.8564i | −0.541828 | + | 0.938474i | ||||
\(219\) | −0.500000 | + | 0.866025i | −0.0337869 | + | 0.0585206i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 12.0000 | 0.807207 | ||||||||
\(222\) | 5.00000 | − | 8.66025i | 0.335578 | − | 0.581238i | ||||
\(223\) | 7.00000 | + | 12.1244i | 0.468755 | + | 0.811907i | 0.999362 | − | 0.0357107i | \(-0.0113695\pi\) |
−0.530607 | + | 0.847618i | \(0.678036\pi\) | |||||||
\(224\) | 2.00000 | − | 3.46410i | 0.133631 | − | 0.231455i | ||||
\(225\) | −5.00000 | − | 8.66025i | −0.333333 | − | 0.577350i | ||||
\(226\) | 7.50000 | + | 12.9904i | 0.498893 | + | 0.864107i | ||||
\(227\) | −3.00000 | −0.199117 | −0.0995585 | − | 0.995032i | \(-0.531743\pi\) | ||||
−0.0995585 | + | 0.995032i | \(0.531743\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −16.0000 | −1.05731 | −0.528655 | − | 0.848837i | \(-0.677303\pi\) | ||||
−0.528655 | + | 0.848837i | \(0.677303\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −6.00000 | − | 10.3923i | −0.394771 | − | 0.683763i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.50000 | − | 2.59808i | −0.0982683 | − | 0.170206i | 0.812700 | − | 0.582683i | \(-0.197997\pi\) |
−0.910968 | + | 0.412477i | \(0.864664\pi\) | |||||||
\(234\) | −2.00000 | + | 3.46410i | −0.130744 | + | 0.226455i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 9.00000 | 0.585850 | ||||||||
\(237\) | 2.00000 | − | 3.46410i | 0.129914 | − | 0.225018i | ||||
\(238\) | −12.0000 | + | 20.7846i | −0.777844 | + | 1.34727i | ||||
\(239\) | −12.0000 | −0.776215 | −0.388108 | − | 0.921614i | \(-0.626871\pi\) | ||||
−0.388108 | + | 0.921614i | \(0.626871\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.50000 | − | 4.33013i | 0.161039 | − | 0.278928i | −0.774202 | − | 0.632938i | \(-0.781849\pi\) |
0.935242 | + | 0.354010i | \(0.115182\pi\) | |||||||
\(242\) | 1.00000 | + | 1.73205i | 0.0642824 | + | 0.111340i | ||||
\(243\) | 8.00000 | − | 13.8564i | 0.513200 | − | 0.888889i | ||||
\(244\) | 2.00000 | + | 3.46410i | 0.128037 | + | 0.221766i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 9.00000 | 0.573819 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −2.00000 | −0.127000 | ||||||||
\(249\) | 1.50000 | + | 2.59808i | 0.0950586 | + | 0.164646i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.50000 | − | 2.59808i | 0.0946792 | − | 0.163989i | −0.814795 | − | 0.579748i | \(-0.803151\pi\) |
0.909475 | + | 0.415759i | \(0.136484\pi\) | |||||||
\(252\) | −4.00000 | − | 6.92820i | −0.251976 | − | 0.436436i | ||||
\(253\) | 9.00000 | − | 15.5885i | 0.565825 | − | 0.980038i | ||||
\(254\) | −2.00000 | −0.125491 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 1.50000 | − | 2.59808i | 0.0935674 | − | 0.162064i | −0.815442 | − | 0.578838i | \(-0.803506\pi\) |
0.909010 | + | 0.416775i | \(0.136840\pi\) | |||||||
\(258\) | 4.00000 | 0.249029 | ||||||||
\(259\) | −40.0000 | −2.48548 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.50000 | + | 7.79423i | −0.278011 | + | 0.481529i | ||||
\(263\) | 6.00000 | + | 10.3923i | 0.369976 | + | 0.640817i | 0.989561 | − | 0.144112i | \(-0.0460326\pi\) |
−0.619586 | + | 0.784929i | \(0.712699\pi\) | |||||||
\(264\) | 1.50000 | + | 2.59808i | 0.0923186 | + | 0.159901i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 6.00000 | 0.367194 | ||||||||
\(268\) | −3.50000 | − | 6.06218i | −0.213797 | − | 0.370306i | ||||
\(269\) | 6.00000 | + | 10.3923i | 0.365826 | + | 0.633630i | 0.988908 | − | 0.148527i | \(-0.0474530\pi\) |
−0.623082 | + | 0.782157i | \(0.714120\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.00000 | + | 13.8564i | 0.485965 | + | 0.841717i | 0.999870 | − | 0.0161307i | \(-0.00513477\pi\) |
−0.513905 | + | 0.857847i | \(0.671801\pi\) | |||||||
\(272\) | 3.00000 | − | 5.19615i | 0.181902 | − | 0.315063i | ||||
\(273\) | −8.00000 | −0.484182 | ||||||||
\(274\) | 9.00000 | 0.543710 | ||||||||
\(275\) | 7.50000 | − | 12.9904i | 0.452267 | − | 0.783349i | ||||
\(276\) | −3.00000 | + | 5.19615i | −0.180579 | + | 0.312772i | ||||
\(277\) | 8.00000 | 0.480673 | 0.240337 | − | 0.970690i | \(-0.422742\pi\) | ||||
0.240337 | + | 0.970690i | \(0.422742\pi\) | |||||||
\(278\) | 11.0000 | 0.659736 | ||||||||
\(279\) | −2.00000 | + | 3.46410i | −0.119737 | + | 0.207390i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 13.5000 | − | 23.3827i | 0.805342 | − | 1.39489i | −0.110717 | − | 0.993852i | \(-0.535315\pi\) |
0.916060 | − | 0.401042i | \(-0.131352\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.50000 | − | 4.33013i | −0.148610 | − | 0.257399i | 0.782104 | − | 0.623148i | \(-0.214146\pi\) |
−0.930714 | + | 0.365748i | \(0.880813\pi\) | |||||||
\(284\) | 6.00000 | 0.356034 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.00000 | −0.354787 | ||||||||
\(287\) | −18.0000 | − | 31.1769i | −1.06251 | − | 1.84032i | ||||
\(288\) | 1.00000 | + | 1.73205i | 0.0589256 | + | 0.102062i | ||||
\(289\) | −9.50000 | + | 16.4545i | −0.558824 | + | 0.967911i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −8.50000 | + | 14.7224i | −0.498279 | + | 0.863044i | ||||
\(292\) | −1.00000 | −0.0585206 | ||||||||
\(293\) | −24.0000 | −1.40209 | −0.701047 | − | 0.713115i | \(-0.747284\pi\) | ||||
−0.701047 | + | 0.713115i | \(0.747284\pi\) | |||||||
\(294\) | 4.50000 | − | 7.79423i | 0.262445 | − | 0.454569i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 10.0000 | 0.581238 | ||||||||
\(297\) | 15.0000 | 0.870388 | ||||||||
\(298\) | −9.00000 | + | 15.5885i | −0.521356 | + | 0.903015i | ||||
\(299\) | −6.00000 | − | 10.3923i | −0.346989 | − | 0.601003i | ||||
\(300\) | −2.50000 | + | 4.33013i | −0.144338 | + | 0.250000i | ||||
\(301\) | −8.00000 | − | 13.8564i | −0.461112 | − | 0.798670i | ||||
\(302\) | −5.00000 | − | 8.66025i | −0.287718 | − | 0.498342i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −6.00000 | − | 10.3923i | −0.342997 | − | 0.594089i | ||||
\(307\) | −3.50000 | − | 6.06218i | −0.199756 | − | 0.345987i | 0.748694 | − | 0.662916i | \(-0.230681\pi\) |
−0.948449 | + | 0.316929i | \(0.897348\pi\) | |||||||
\(308\) | 6.00000 | − | 10.3923i | 0.341882 | − | 0.592157i | ||||
\(309\) | −1.00000 | − | 1.73205i | −0.0568880 | − | 0.0985329i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −30.0000 | −1.70114 | −0.850572 | − | 0.525859i | \(-0.823744\pi\) | ||||
−0.850572 | + | 0.525859i | \(0.823744\pi\) | |||||||
\(312\) | 2.00000 | 0.113228 | ||||||||
\(313\) | 9.50000 | − | 16.4545i | 0.536972 | − | 0.930062i | −0.462093 | − | 0.886831i | \(-0.652902\pi\) |
0.999065 | − | 0.0432311i | \(-0.0137652\pi\) | |||||||
\(314\) | 8.00000 | − | 13.8564i | 0.451466 | − | 0.781962i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.00000 | 0.225018 | ||||||||
\(317\) | −9.00000 | + | 15.5885i | −0.505490 | + | 0.875535i | 0.494489 | + | 0.869184i | \(0.335355\pi\) |
−0.999980 | + | 0.00635137i | \(0.997978\pi\) | |||||||
\(318\) | −3.00000 | − | 5.19615i | −0.168232 | − | 0.291386i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 24.0000 | 1.33747 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | −5.00000 | − | 8.66025i | −0.277350 | − | 0.480384i | ||||
\(326\) | 9.50000 | + | 16.4545i | 0.526156 | + | 0.911330i | ||||
\(327\) | 8.00000 | − | 13.8564i | 0.442401 | − | 0.766261i | ||||
\(328\) | 4.50000 | + | 7.79423i | 0.248471 | + | 0.430364i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.00000 | −0.274825 | −0.137412 | − | 0.990514i | \(-0.543879\pi\) | ||||
−0.137412 | + | 0.990514i | \(0.543879\pi\) | |||||||
\(332\) | −1.50000 | + | 2.59808i | −0.0823232 | + | 0.142588i | ||||
\(333\) | 10.0000 | − | 17.3205i | 0.547997 | − | 0.949158i | ||||
\(334\) | 24.0000 | 1.31322 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −2.00000 | + | 3.46410i | −0.109109 | + | 0.188982i | ||||
\(337\) | 5.50000 | + | 9.52628i | 0.299604 | + | 0.518930i | 0.976045 | − | 0.217567i | \(-0.0698121\pi\) |
−0.676441 | + | 0.736497i | \(0.736479\pi\) | |||||||
\(338\) | 4.50000 | − | 7.79423i | 0.244768 | − | 0.423950i | ||||
\(339\) | −7.50000 | − | 12.9904i | −0.407344 | − | 0.705541i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −6.00000 | −0.324918 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.00000 | −0.431959 | ||||||||
\(344\) | 2.00000 | + | 3.46410i | 0.107833 | + | 0.186772i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.00000 | − | 5.19615i | 0.161281 | − | 0.279347i | ||||
\(347\) | 4.50000 | + | 7.79423i | 0.241573 | + | 0.418416i | 0.961162 | − | 0.275983i | \(-0.0890035\pi\) |
−0.719590 | + | 0.694399i | \(0.755670\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.00000 | −0.214115 | −0.107058 | − | 0.994253i | \(-0.534143\pi\) | ||||
−0.107058 | + | 0.994253i | \(0.534143\pi\) | |||||||
\(350\) | 20.0000 | 1.06904 | ||||||||
\(351\) | 5.00000 | − | 8.66025i | 0.266880 | − | 0.462250i | ||||
\(352\) | −1.50000 | + | 2.59808i | −0.0799503 | + | 0.138478i | ||||
\(353\) | 3.00000 | 0.159674 | 0.0798369 | − | 0.996808i | \(-0.474560\pi\) | ||||
0.0798369 | + | 0.996808i | \(0.474560\pi\) | |||||||
\(354\) | −9.00000 | −0.478345 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 3.00000 | + | 5.19615i | 0.159000 | + | 0.275396i | ||||
\(357\) | 12.0000 | − | 20.7846i | 0.635107 | − | 1.10004i | ||||
\(358\) | 4.50000 | + | 7.79423i | 0.237832 | + | 0.411938i | ||||
\(359\) | 3.00000 | + | 5.19615i | 0.158334 | + | 0.274242i | 0.934268 | − | 0.356572i | \(-0.116054\pi\) |
−0.775934 | + | 0.630814i | \(0.782721\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −2.00000 | −0.105118 | ||||||||
\(363\) | −1.00000 | − | 1.73205i | −0.0524864 | − | 0.0909091i | ||||
\(364\) | −4.00000 | − | 6.92820i | −0.209657 | − | 0.363137i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −2.00000 | − | 3.46410i | −0.104542 | − | 0.181071i | ||||
\(367\) | 11.0000 | − | 19.0526i | 0.574195 | − | 0.994535i | −0.421933 | − | 0.906627i | \(-0.638648\pi\) |
0.996129 | − | 0.0879086i | \(-0.0280183\pi\) | |||||||
\(368\) | −6.00000 | −0.312772 | ||||||||
\(369\) | 18.0000 | 0.937043 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −12.0000 | + | 20.7846i | −0.623009 | + | 1.07908i | ||||
\(372\) | 2.00000 | 0.103695 | ||||||||
\(373\) | 4.00000 | 0.207112 | 0.103556 | − | 0.994624i | \(-0.466978\pi\) | ||||
0.103556 | + | 0.994624i | \(0.466978\pi\) | |||||||
\(374\) | 9.00000 | − | 15.5885i | 0.465379 | − | 0.806060i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 10.0000 | + | 17.3205i | 0.514344 | + | 0.890871i | ||||
\(379\) | 28.0000 | 1.43826 | 0.719132 | − | 0.694874i | \(-0.244540\pi\) | ||||
0.719132 | + | 0.694874i | \(0.244540\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.00000 | 0.102463 | ||||||||
\(382\) | −6.00000 | − | 10.3923i | −0.306987 | − | 0.531717i | ||||
\(383\) | −18.0000 | − | 31.1769i | −0.919757 | − | 1.59307i | −0.799783 | − | 0.600289i | \(-0.795052\pi\) |
−0.119974 | − | 0.992777i | \(-0.538281\pi\) | |||||||
\(384\) | 0.500000 | − | 0.866025i | 0.0255155 | − | 0.0441942i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 1.00000 | − | 1.73205i | 0.0508987 | − | 0.0881591i | ||||
\(387\) | 8.00000 | 0.406663 | ||||||||
\(388\) | −17.0000 | −0.863044 | ||||||||
\(389\) | 18.0000 | − | 31.1769i | 0.912636 | − | 1.58073i | 0.102311 | − | 0.994753i | \(-0.467376\pi\) |
0.810326 | − | 0.585980i | \(-0.199290\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 36.0000 | 1.82060 | ||||||||
\(392\) | 9.00000 | 0.454569 | ||||||||
\(393\) | 4.50000 | − | 7.79423i | 0.226995 | − | 0.393167i | ||||
\(394\) | −9.00000 | − | 15.5885i | −0.453413 | − | 0.785335i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 3.00000 | + | 5.19615i | 0.150756 | + | 0.261116i | ||||
\(397\) | 5.00000 | + | 8.66025i | 0.250943 | + | 0.434646i | 0.963786 | − | 0.266678i | \(-0.0859261\pi\) |
−0.712843 | + | 0.701324i | \(0.752593\pi\) | |||||||
\(398\) | −10.0000 | −0.501255 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.00000 | −0.250000 | ||||||||
\(401\) | −13.5000 | − | 23.3827i | −0.674158 | − | 1.16768i | −0.976714 | − | 0.214544i | \(-0.931173\pi\) |
0.302556 | − | 0.953131i | \(-0.402160\pi\) | |||||||
\(402\) | 3.50000 | + | 6.06218i | 0.174564 | + | 0.302354i | ||||
\(403\) | −2.00000 | + | 3.46410i | −0.0996271 | + | 0.172559i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 30.0000 | 1.48704 | ||||||||
\(408\) | −3.00000 | + | 5.19615i | −0.148522 | + | 0.257248i | ||||
\(409\) | 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 | ||||||||
\(411\) | −9.00000 | −0.443937 | ||||||||
\(412\) | 1.00000 | − | 1.73205i | 0.0492665 | − | 0.0853320i | ||||
\(413\) | 18.0000 | + | 31.1769i | 0.885722 | + | 1.53412i | ||||
\(414\) | −6.00000 | + | 10.3923i | −0.294884 | + | 0.510754i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1.00000 | + | 1.73205i | 0.0490290 | + | 0.0849208i | ||||
\(417\) | −11.0000 | −0.538672 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −12.0000 | −0.586238 | −0.293119 | − | 0.956076i | \(-0.594693\pi\) | ||||
−0.293119 | + | 0.956076i | \(0.594693\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.00000 | − | 8.66025i | −0.243685 | − | 0.422075i | 0.718076 | − | 0.695965i | \(-0.245023\pi\) |
−0.961761 | + | 0.273890i | \(0.911690\pi\) | |||||||
\(422\) | 10.0000 | − | 17.3205i | 0.486792 | − | 0.843149i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.00000 | − | 5.19615i | 0.145693 | − | 0.252347i | ||||
\(425\) | 30.0000 | 1.45521 | ||||||||
\(426\) | −6.00000 | −0.290701 | ||||||||
\(427\) | −8.00000 | + | 13.8564i | −0.387147 | + | 0.670559i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 6.00000 | 0.289683 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −15.0000 | + | 25.9808i | −0.722525 | + | 1.25145i | 0.237460 | + | 0.971397i | \(0.423685\pi\) |
−0.959985 | + | 0.280052i | \(0.909648\pi\) | |||||||
\(432\) | −2.50000 | − | 4.33013i | −0.120281 | − | 0.208333i | ||||
\(433\) | 13.0000 | − | 22.5167i | 0.624740 | − | 1.08208i | −0.363851 | − | 0.931457i | \(-0.618538\pi\) |
0.988591 | − | 0.150624i | \(-0.0481284\pi\) | |||||||
\(434\) | −4.00000 | − | 6.92820i | −0.192006 | − | 0.332564i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 16.0000 | 0.766261 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 1.00000 | 0.0477818 | ||||||||
\(439\) | 7.00000 | + | 12.1244i | 0.334092 | + | 0.578664i | 0.983310 | − | 0.181938i | \(-0.0582371\pi\) |
−0.649218 | + | 0.760602i | \(0.724904\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 9.00000 | − | 15.5885i | 0.428571 | − | 0.742307i | ||||
\(442\) | −6.00000 | − | 10.3923i | −0.285391 | − | 0.494312i | ||||
\(443\) | −4.50000 | + | 7.79423i | −0.213801 | + | 0.370315i | −0.952901 | − | 0.303281i | \(-0.901918\pi\) |
0.739100 | + | 0.673596i | \(0.235251\pi\) | |||||||
\(444\) | −10.0000 | −0.474579 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 7.00000 | − | 12.1244i | 0.331460 | − | 0.574105i | ||||
\(447\) | 9.00000 | − | 15.5885i | 0.425685 | − | 0.737309i | ||||
\(448\) | −4.00000 | −0.188982 | ||||||||
\(449\) | −9.00000 | −0.424736 | −0.212368 | − | 0.977190i | \(-0.568118\pi\) | ||||
−0.212368 | + | 0.977190i | \(0.568118\pi\) | |||||||
\(450\) | −5.00000 | + | 8.66025i | −0.235702 | + | 0.408248i | ||||
\(451\) | 13.5000 | + | 23.3827i | 0.635690 | + | 1.10105i | ||||
\(452\) | 7.50000 | − | 12.9904i | 0.352770 | − | 0.611016i | ||||
\(453\) | 5.00000 | + | 8.66025i | 0.234920 | + | 0.406894i | ||||
\(454\) | 1.50000 | + | 2.59808i | 0.0703985 | + | 0.121934i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.00000 | 0.233890 | 0.116945 | − | 0.993138i | \(-0.462690\pi\) | ||||
0.116945 | + | 0.993138i | \(0.462690\pi\) | |||||||
\(458\) | 8.00000 | + | 13.8564i | 0.373815 | + | 0.647467i | ||||
\(459\) | 15.0000 | + | 25.9808i | 0.700140 | + | 1.21268i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3.00000 | − | 5.19615i | −0.139724 | − | 0.242009i | 0.787668 | − | 0.616100i | \(-0.211288\pi\) |
−0.927392 | + | 0.374091i | \(0.877955\pi\) | |||||||
\(462\) | −6.00000 | + | 10.3923i | −0.279145 | + | 0.483494i | ||||
\(463\) | −34.0000 | −1.58011 | −0.790057 | − | 0.613033i | \(-0.789949\pi\) | ||||
−0.790057 | + | 0.613033i | \(0.789949\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.50000 | + | 2.59808i | −0.0694862 | + | 0.120354i | ||||
\(467\) | −27.0000 | −1.24941 | −0.624705 | − | 0.780860i | \(-0.714781\pi\) | ||||
−0.624705 | + | 0.780860i | \(0.714781\pi\) | |||||||
\(468\) | 4.00000 | 0.184900 | ||||||||
\(469\) | 14.0000 | − | 24.2487i | 0.646460 | − | 1.11970i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −8.00000 | + | 13.8564i | −0.368621 | + | 0.638470i | ||||
\(472\) | −4.50000 | − | 7.79423i | −0.207129 | − | 0.358758i | ||||
\(473\) | 6.00000 | + | 10.3923i | 0.275880 | + | 0.477839i | ||||
\(474\) | −4.00000 | −0.183726 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 24.0000 | 1.10004 | ||||||||
\(477\) | −6.00000 | − | 10.3923i | −0.274721 | − | 0.475831i | ||||
\(478\) | 6.00000 | + | 10.3923i | 0.274434 | + | 0.475333i | ||||
\(479\) | −18.0000 | + | 31.1769i | −0.822441 | + | 1.42451i | 0.0814184 | + | 0.996680i | \(0.474055\pi\) |
−0.903859 | + | 0.427830i | \(0.859278\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.0000 | − | 17.3205i | 0.455961 | − | 0.789747i | ||||
\(482\) | −5.00000 | −0.227744 | ||||||||
\(483\) | −24.0000 | −1.09204 | ||||||||
\(484\) | 1.00000 | − | 1.73205i | 0.0454545 | − | 0.0787296i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −16.0000 | −0.725775 | ||||||||
\(487\) | −2.00000 | −0.0906287 | −0.0453143 | − | 0.998973i | \(-0.514429\pi\) | ||||
−0.0453143 | + | 0.998973i | \(0.514429\pi\) | |||||||
\(488\) | 2.00000 | − | 3.46410i | 0.0905357 | − | 0.156813i | ||||
\(489\) | −9.50000 | − | 16.4545i | −0.429605 | − | 0.744097i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(492\) | −4.50000 | − | 7.79423i | −0.202876 | − | 0.351391i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.00000 | + | 1.73205i | 0.0449013 | + | 0.0777714i | ||||
\(497\) | 12.0000 | + | 20.7846i | 0.538274 | + | 0.932317i | ||||
\(498\) | 1.50000 | − | 2.59808i | 0.0672166 | − | 0.116423i | ||||
\(499\) | 12.5000 | + | 21.6506i | 0.559577 | + | 0.969216i | 0.997532 | + | 0.0702185i | \(0.0223697\pi\) |
−0.437955 | + | 0.898997i | \(0.644297\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −24.0000 | −1.07224 | ||||||||
\(502\) | −3.00000 | −0.133897 | ||||||||
\(503\) | −3.00000 | + | 5.19615i | −0.133763 | + | 0.231685i | −0.925124 | − | 0.379664i | \(-0.876040\pi\) |
0.791361 | + | 0.611349i | \(0.209373\pi\) | |||||||
\(504\) | −4.00000 | + | 6.92820i | −0.178174 | + | 0.308607i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −18.0000 | −0.800198 | ||||||||
\(507\) | −4.50000 | + | 7.79423i | −0.199852 | + | 0.346154i | ||||
\(508\) | 1.00000 | + | 1.73205i | 0.0443678 | + | 0.0768473i | ||||
\(509\) | −12.0000 | + | 20.7846i | −0.531891 | + | 0.921262i | 0.467416 | + | 0.884037i | \(0.345185\pi\) |
−0.999307 | + | 0.0372243i | \(0.988148\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.00000 | − | 3.46410i | −0.0884748 | − | 0.153243i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.00000 | −0.132324 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −2.00000 | − | 3.46410i | −0.0880451 | − | 0.152499i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 20.0000 | + | 34.6410i | 0.878750 | + | 1.52204i | ||||
\(519\) | −3.00000 | + | 5.19615i | −0.131685 | + | 0.228086i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −9.00000 | −0.394297 | −0.197149 | − | 0.980374i | \(-0.563168\pi\) | ||||
−0.197149 | + | 0.980374i | \(0.563168\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.0000 | + | 24.2487i | −0.612177 | + | 1.06032i | 0.378695 | + | 0.925521i | \(0.376373\pi\) |
−0.990873 | + | 0.134801i | \(0.956961\pi\) | |||||||
\(524\) | 9.00000 | 0.393167 | ||||||||
\(525\) | −20.0000 | −0.872872 | ||||||||
\(526\) | 6.00000 | − | 10.3923i | 0.261612 | − | 0.453126i | ||||
\(527\) | −6.00000 | − | 10.3923i | −0.261364 | − | 0.452696i | ||||
\(528\) | 1.50000 | − | 2.59808i | 0.0652791 | − | 0.113067i | ||||
\(529\) | −6.50000 | − | 11.2583i | −0.282609 | − | 0.489493i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −18.0000 | −0.781133 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 18.0000 | 0.779667 | ||||||||
\(534\) | −3.00000 | − | 5.19615i | −0.129823 | − | 0.224860i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −3.50000 | + | 6.06218i | −0.151177 | + | 0.261846i | ||||
\(537\) | −4.50000 | − | 7.79423i | −0.194189 | − | 0.336346i | ||||
\(538\) | 6.00000 | − | 10.3923i | 0.258678 | − | 0.448044i | ||||
\(539\) | 27.0000 | 1.16297 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −22.0000 | + | 38.1051i | −0.945854 | + | 1.63827i | −0.191821 | + | 0.981430i | \(0.561439\pi\) |
−0.754032 | + | 0.656837i | \(0.771894\pi\) | |||||||
\(542\) | 8.00000 | − | 13.8564i | 0.343629 | − | 0.595184i | ||||
\(543\) | 2.00000 | 0.0858282 | ||||||||
\(544\) | −6.00000 | −0.257248 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 4.00000 | + | 6.92820i | 0.171184 | + | 0.296500i | ||||
\(547\) | −2.00000 | + | 3.46410i | −0.0855138 | + | 0.148114i | −0.905610 | − | 0.424111i | \(-0.860587\pi\) |
0.820096 | + | 0.572226i | \(0.193920\pi\) | |||||||
\(548\) | −4.50000 | − | 7.79423i | −0.192230 | − | 0.332953i | ||||
\(549\) | −4.00000 | − | 6.92820i | −0.170716 | − | 0.295689i | ||||
\(550\) | −15.0000 | −0.639602 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 6.00000 | 0.255377 | ||||||||
\(553\) | 8.00000 | + | 13.8564i | 0.340195 | + | 0.589234i | ||||
\(554\) | −4.00000 | − | 6.92820i | −0.169944 | − | 0.294351i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −5.50000 | − | 9.52628i | −0.233252 | − | 0.404004i | ||||
\(557\) | −12.0000 | + | 20.7846i | −0.508456 | + | 0.880672i | 0.491496 | + | 0.870880i | \(0.336450\pi\) |
−0.999952 | + | 0.00979220i | \(0.996883\pi\) | |||||||
\(558\) | 4.00000 | 0.169334 | ||||||||
\(559\) | 8.00000 | 0.338364 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −9.00000 | + | 15.5885i | −0.379980 | + | 0.658145i | ||||
\(562\) | −27.0000 | −1.13893 | ||||||||
\(563\) | 21.0000 | 0.885044 | 0.442522 | − | 0.896758i | \(-0.354084\pi\) | ||||
0.442522 | + | 0.896758i | \(0.354084\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −2.50000 | + | 4.33013i | −0.105083 | + | 0.182009i | ||||
\(567\) | 2.00000 | + | 3.46410i | 0.0839921 | + | 0.145479i | ||||
\(568\) | −3.00000 | − | 5.19615i | −0.125877 | − | 0.218026i | ||||
\(569\) | 6.00000 | 0.251533 | 0.125767 | − | 0.992060i | \(-0.459861\pi\) | ||||
0.125767 | + | 0.992060i | \(0.459861\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.00000 | −0.292941 | −0.146470 | − | 0.989215i | \(-0.546791\pi\) | ||||
−0.146470 | + | 0.989215i | \(0.546791\pi\) | |||||||
\(572\) | 3.00000 | + | 5.19615i | 0.125436 | + | 0.217262i | ||||
\(573\) | 6.00000 | + | 10.3923i | 0.250654 | + | 0.434145i | ||||
\(574\) | −18.0000 | + | 31.1769i | −0.751305 | + | 1.30130i | ||||
\(575\) | −15.0000 | − | 25.9808i | −0.625543 | − | 1.08347i | ||||
\(576\) | 1.00000 | − | 1.73205i | 0.0416667 | − | 0.0721688i | ||||
\(577\) | 11.0000 | 0.457936 | 0.228968 | − | 0.973434i | \(-0.426465\pi\) | ||||
0.228968 | + | 0.973434i | \(0.426465\pi\) | |||||||
\(578\) | 19.0000 | 0.790296 | ||||||||
\(579\) | −1.00000 | + | 1.73205i | −0.0415586 | + | 0.0719816i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −12.0000 | −0.497844 | ||||||||
\(582\) | 17.0000 | 0.704673 | ||||||||
\(583\) | 9.00000 | − | 15.5885i | 0.372742 | − | 0.645608i | ||||
\(584\) | 0.500000 | + | 0.866025i | 0.0206901 | + | 0.0358364i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 12.0000 | + | 20.7846i | 0.495715 | + | 0.858604i | ||||
\(587\) | 6.00000 | + | 10.3923i | 0.247647 | + | 0.428936i | 0.962872 | − | 0.269957i | \(-0.0870095\pi\) |
−0.715226 | + | 0.698893i | \(0.753676\pi\) | |||||||
\(588\) | −9.00000 | −0.371154 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 9.00000 | + | 15.5885i | 0.370211 | + | 0.641223i | ||||
\(592\) | −5.00000 | − | 8.66025i | −0.205499 | − | 0.355934i | ||||
\(593\) | 10.5000 | − | 18.1865i | 0.431183 | − | 0.746831i | −0.565792 | − | 0.824548i | \(-0.691430\pi\) |
0.996976 | + | 0.0777165i | \(0.0247629\pi\) | |||||||
\(594\) | −7.50000 | − | 12.9904i | −0.307729 | − | 0.533002i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 18.0000 | 0.737309 | ||||||||
\(597\) | 10.0000 | 0.409273 | ||||||||
\(598\) | −6.00000 | + | 10.3923i | −0.245358 | + | 0.424973i | ||||
\(599\) | −3.00000 | + | 5.19615i | −0.122577 | + | 0.212309i | −0.920783 | − | 0.390075i | \(-0.872449\pi\) |
0.798206 | + | 0.602384i | \(0.205782\pi\) | |||||||
\(600\) | 5.00000 | 0.204124 | ||||||||
\(601\) | 13.0000 | 0.530281 | 0.265141 | − | 0.964210i | \(-0.414582\pi\) | ||||
0.265141 | + | 0.964210i | \(0.414582\pi\) | |||||||
\(602\) | −8.00000 | + | 13.8564i | −0.326056 | + | 0.564745i | ||||
\(603\) | 7.00000 | + | 12.1244i | 0.285062 | + | 0.493742i | ||||
\(604\) | −5.00000 | + | 8.66025i | −0.203447 | + | 0.352381i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −20.0000 | −0.811775 | −0.405887 | − | 0.913923i | \(-0.633038\pi\) | ||||
−0.405887 | + | 0.913923i | \(0.633038\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −6.00000 | + | 10.3923i | −0.242536 | + | 0.420084i | ||||
\(613\) | −1.00000 | − | 1.73205i | −0.0403896 | − | 0.0699569i | 0.845124 | − | 0.534570i | \(-0.179527\pi\) |
−0.885514 | + | 0.464614i | \(0.846193\pi\) | |||||||
\(614\) | −3.50000 | + | 6.06218i | −0.141249 | + | 0.244650i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −12.0000 | −0.483494 | ||||||||
\(617\) | −1.50000 | + | 2.59808i | −0.0603877 | + | 0.104595i | −0.894639 | − | 0.446790i | \(-0.852567\pi\) |
0.834251 | + | 0.551385i | \(0.185900\pi\) | |||||||
\(618\) | −1.00000 | + | 1.73205i | −0.0402259 | + | 0.0696733i | ||||
\(619\) | −4.00000 | −0.160774 | −0.0803868 | − | 0.996764i | \(-0.525616\pi\) | ||||
−0.0803868 | + | 0.996764i | \(0.525616\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 15.0000 | − | 25.9808i | 0.601929 | − | 1.04257i | ||||
\(622\) | 15.0000 | + | 25.9808i | 0.601445 | + | 1.04173i | ||||
\(623\) | −12.0000 | + | 20.7846i | −0.480770 | + | 0.832718i | ||||
\(624\) | −1.00000 | − | 1.73205i | −0.0400320 | − | 0.0693375i | ||||
\(625\) | −12.5000 | − | 21.6506i | −0.500000 | − | 0.866025i | ||||
\(626\) | −19.0000 | −0.759393 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −16.0000 | −0.638470 | ||||||||
\(629\) | 30.0000 | + | 51.9615i | 1.19618 | + | 2.07184i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 14.0000 | − | 24.2487i | 0.557331 | − | 0.965326i | −0.440387 | − | 0.897808i | \(-0.645159\pi\) |
0.997718 | − | 0.0675178i | \(-0.0215080\pi\) | |||||||
\(632\) | −2.00000 | − | 3.46410i | −0.0795557 | − | 0.137795i | ||||
\(633\) | −10.0000 | + | 17.3205i | −0.397464 | + | 0.688428i | ||||
\(634\) | 18.0000 | 0.714871 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −3.00000 | + | 5.19615i | −0.118958 | + | 0.206041i | ||||
\(637\) | 9.00000 | − | 15.5885i | 0.356593 | − | 0.617637i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −12.0000 | −0.474713 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −19.5000 | − | 33.7750i | −0.770204 | − | 1.33403i | −0.937451 | − | 0.348117i | \(-0.886821\pi\) |
0.167247 | − | 0.985915i | \(-0.446512\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 21.5000 | + | 37.2391i | 0.847877 | + | 1.46857i | 0.883099 | + | 0.469187i | \(0.155453\pi\) |
−0.0352216 | + | 0.999380i | \(0.511214\pi\) | |||||||
\(644\) | −12.0000 | − | 20.7846i | −0.472866 | − | 0.819028i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 18.0000 | 0.707653 | 0.353827 | − | 0.935311i | \(-0.384880\pi\) | ||||
0.353827 | + | 0.935311i | \(0.384880\pi\) | |||||||
\(648\) | −0.500000 | − | 0.866025i | −0.0196419 | − | 0.0340207i | ||||
\(649\) | −13.5000 | − | 23.3827i | −0.529921 | − | 0.917851i | ||||
\(650\) | −5.00000 | + | 8.66025i | −0.196116 | + | 0.339683i | ||||
\(651\) | 4.00000 | + | 6.92820i | 0.156772 | + | 0.271538i | ||||
\(652\) | 9.50000 | − | 16.4545i | 0.372049 | − | 0.644407i | ||||
\(653\) | −12.0000 | −0.469596 | −0.234798 | − | 0.972044i | \(-0.575443\pi\) | ||||
−0.234798 | + | 0.972044i | \(0.575443\pi\) | |||||||
\(654\) | −16.0000 | −0.625650 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 4.50000 | − | 7.79423i | 0.175695 | − | 0.304314i | ||||
\(657\) | 2.00000 | 0.0780274 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 18.0000 | − | 31.1769i | 0.701180 | − | 1.21448i | −0.266872 | − | 0.963732i | \(-0.585990\pi\) |
0.968052 | − | 0.250748i | \(-0.0806766\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −20.0000 | + | 34.6410i | −0.777910 | + | 1.34738i | 0.155235 | + | 0.987878i | \(0.450387\pi\) |
−0.933144 | + | 0.359502i | \(0.882947\pi\) | |||||||
\(662\) | 2.50000 | + | 4.33013i | 0.0971653 | + | 0.168295i | ||||
\(663\) | 6.00000 | + | 10.3923i | 0.233021 | + | 0.403604i | ||||
\(664\) | 3.00000 | 0.116423 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −20.0000 | −0.774984 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −12.0000 | − | 20.7846i | −0.464294 | − | 0.804181i | ||||
\(669\) | −7.00000 | + | 12.1244i | −0.270636 | + | 0.468755i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 6.00000 | − | 10.3923i | 0.231627 | − | 0.401190i | ||||
\(672\) | 4.00000 | 0.154303 | ||||||||
\(673\) | −14.0000 | −0.539660 | −0.269830 | − | 0.962908i | \(-0.586968\pi\) | ||||
−0.269830 | + | 0.962908i | \(0.586968\pi\) | |||||||
\(674\) | 5.50000 | − | 9.52628i | 0.211852 | − | 0.366939i | ||||
\(675\) | 12.5000 | − | 21.6506i | 0.481125 | − | 0.833333i | ||||
\(676\) | −9.00000 | −0.346154 | ||||||||
\(677\) | 42.0000 | 1.61419 | 0.807096 | − | 0.590421i | \(-0.201038\pi\) | ||||
0.807096 | + | 0.590421i | \(0.201038\pi\) | |||||||
\(678\) | −7.50000 | + | 12.9904i | −0.288036 | + | 0.498893i | ||||
\(679\) | −34.0000 | − | 58.8897i | −1.30480 | − | 2.25998i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.50000 | − | 2.59808i | −0.0574801 | − | 0.0995585i | ||||
\(682\) | 3.00000 | + | 5.19615i | 0.114876 | + | 0.198971i | ||||
\(683\) | 36.0000 | 1.37750 | 0.688751 | − | 0.724998i | \(-0.258159\pi\) | ||||
0.688751 | + | 0.724998i | \(0.258159\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 4.00000 | + | 6.92820i | 0.152721 | + | 0.264520i | ||||
\(687\) | −8.00000 | − | 13.8564i | −0.305219 | − | 0.528655i | ||||
\(688\) | 2.00000 | − | 3.46410i | 0.0762493 | − | 0.132068i | ||||
\(689\) | −6.00000 | − | 10.3923i | −0.228582 | − | 0.395915i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 44.0000 | 1.67384 | 0.836919 | − | 0.547326i | \(-0.184354\pi\) | ||||
0.836919 | + | 0.547326i | \(0.184354\pi\) | |||||||
\(692\) | −6.00000 | −0.228086 | ||||||||
\(693\) | −12.0000 | + | 20.7846i | −0.455842 | + | 0.789542i | ||||
\(694\) | 4.50000 | − | 7.79423i | 0.170818 | − | 0.295865i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −27.0000 | + | 46.7654i | −1.02270 | + | 1.77136i | ||||
\(698\) | 2.00000 | + | 3.46410i | 0.0757011 | + | 0.131118i | ||||
\(699\) | 1.50000 | − | 2.59808i | 0.0567352 | − | 0.0982683i | ||||
\(700\) | −10.0000 | − | 17.3205i | −0.377964 | − | 0.654654i | ||||
\(701\) | 12.0000 | + | 20.7846i | 0.453234 | + | 0.785024i | 0.998585 | − | 0.0531839i | \(-0.0169370\pi\) |
−0.545351 | + | 0.838208i | \(0.683604\pi\) | |||||||
\(702\) | −10.0000 | −0.377426 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 3.00000 | 0.113067 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.50000 | − | 2.59808i | −0.0564532 | − | 0.0977799i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 4.50000 | + | 7.79423i | 0.169120 | + | 0.292925i | ||||
\(709\) | −7.00000 | + | 12.1244i | −0.262891 | + | 0.455340i | −0.967009 | − | 0.254743i | \(-0.918009\pi\) |
0.704118 | + | 0.710083i | \(0.251342\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.00000 | −0.300023 | ||||||||
\(712\) | 3.00000 | − | 5.19615i | 0.112430 | − | 0.194734i | ||||
\(713\) | −6.00000 | + | 10.3923i | −0.224702 | + | 0.389195i | ||||
\(714\) | −24.0000 | −0.898177 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 4.50000 | − | 7.79423i | 0.168173 | − | 0.291284i | ||||
\(717\) | −6.00000 | − | 10.3923i | −0.224074 | − | 0.388108i | ||||
\(718\) | 3.00000 | − | 5.19615i | 0.111959 | − | 0.193919i | ||||
\(719\) | −15.0000 | − | 25.9808i | −0.559406 | − | 0.968919i | −0.997546 | − | 0.0700124i | \(-0.977696\pi\) |
0.438141 | − | 0.898906i | \(-0.355637\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 8.00000 | 0.297936 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 5.00000 | 0.185952 | ||||||||
\(724\) | 1.00000 | + | 1.73205i | 0.0371647 | + | 0.0643712i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −1.00000 | + | 1.73205i | −0.0371135 | + | 0.0642824i | ||||
\(727\) | −16.0000 | − | 27.7128i | −0.593407 | − | 1.02781i | −0.993770 | − | 0.111454i | \(-0.964449\pi\) |
0.400362 | − | 0.916357i | \(-0.368884\pi\) | |||||||
\(728\) | −4.00000 | + | 6.92820i | −0.148250 | + | 0.256776i | ||||
\(729\) | 13.0000 | 0.481481 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −12.0000 | + | 20.7846i | −0.443836 | + | 0.768747i | ||||
\(732\) | −2.00000 | + | 3.46410i | −0.0739221 | + | 0.128037i | ||||
\(733\) | −22.0000 | −0.812589 | −0.406294 | − | 0.913742i | \(-0.633179\pi\) | ||||
−0.406294 | + | 0.913742i | \(0.633179\pi\) | |||||||
\(734\) | −22.0000 | −0.812035 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.00000 | + | 5.19615i | 0.110581 | + | 0.191533i | ||||
\(737\) | −10.5000 | + | 18.1865i | −0.386772 | + | 0.669910i | ||||
\(738\) | −9.00000 | − | 15.5885i | −0.331295 | − | 0.573819i | ||||
\(739\) | −17.5000 | − | 30.3109i | −0.643748 | − | 1.11500i | −0.984589 | − | 0.174883i | \(-0.944045\pi\) |
0.340841 | − | 0.940121i | \(-0.389288\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 24.0000 | 0.881068 | ||||||||
\(743\) | −9.00000 | − | 15.5885i | −0.330178 | − | 0.571885i | 0.652369 | − | 0.757902i | \(-0.273775\pi\) |
−0.982547 | + | 0.186017i | \(0.940442\pi\) | |||||||
\(744\) | −1.00000 | − | 1.73205i | −0.0366618 | − | 0.0635001i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −2.00000 | − | 3.46410i | −0.0732252 | − | 0.126830i | ||||
\(747\) | 3.00000 | − | 5.19615i | 0.109764 | − | 0.190117i | ||||
\(748\) | −18.0000 | −0.658145 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 19.0000 | − | 32.9090i | 0.693320 | − | 1.20087i | −0.277424 | − | 0.960748i | \(-0.589481\pi\) |
0.970744 | − | 0.240118i | \(-0.0771860\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 3.00000 | 0.109326 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 10.0000 | − | 17.3205i | 0.363696 | − | 0.629941i | ||||
\(757\) | 5.00000 | + | 8.66025i | 0.181728 | + | 0.314762i | 0.942469 | − | 0.334293i | \(-0.108498\pi\) |
−0.760741 | + | 0.649056i | \(0.775164\pi\) | |||||||
\(758\) | −14.0000 | − | 24.2487i | −0.508503 | − | 0.880753i | ||||
\(759\) | 18.0000 | 0.653359 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −39.0000 | −1.41375 | −0.706874 | − | 0.707339i | \(-0.749895\pi\) | ||||
−0.706874 | + | 0.707339i | \(0.749895\pi\) | |||||||
\(762\) | −1.00000 | − | 1.73205i | −0.0362262 | − | 0.0627456i | ||||
\(763\) | 32.0000 | + | 55.4256i | 1.15848 | + | 2.00654i | ||||
\(764\) | −6.00000 | + | 10.3923i | −0.217072 | + | 0.375980i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −18.0000 | + | 31.1769i | −0.650366 | + | 1.12647i | ||||
\(767\) | −18.0000 | −0.649942 | ||||||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | −1.00000 | + | 1.73205i | −0.0360609 | + | 0.0624593i | −0.883493 | − | 0.468445i | \(-0.844814\pi\) |
0.847432 | + | 0.530904i | \(0.178148\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.00000 | 0.108042 | ||||||||
\(772\) | −2.00000 | −0.0719816 | ||||||||
\(773\) | −24.0000 | + | 41.5692i | −0.863220 | + | 1.49514i | 0.00558380 | + | 0.999984i | \(0.498223\pi\) |
−0.868804 | + | 0.495156i | \(0.835111\pi\) | |||||||
\(774\) | −4.00000 | − | 6.92820i | −0.143777 | − | 0.249029i | ||||
\(775\) | −5.00000 | + | 8.66025i | −0.179605 | + | 0.311086i | ||||
\(776\) | 8.50000 | + | 14.7224i | 0.305132 | + | 0.528505i | ||||
\(777\) | −20.0000 | − | 34.6410i | −0.717496 | − | 1.24274i | ||||
\(778\) | −36.0000 | −1.29066 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −9.00000 | − | 15.5885i | −0.322045 | − | 0.557799i | ||||
\(782\) | −18.0000 | − | 31.1769i | −0.643679 | − | 1.11488i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −4.50000 | − | 7.79423i | −0.160714 | − | 0.278365i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −9.00000 | −0.321019 | ||||||||
\(787\) | 7.00000 | 0.249523 | 0.124762 | − | 0.992187i | \(-0.460183\pi\) | ||||
0.124762 | + | 0.992187i | \(0.460183\pi\) | |||||||
\(788\) | −9.00000 | + | 15.5885i | −0.320612 | + | 0.555316i | ||||
\(789\) | −6.00000 | + | 10.3923i | −0.213606 | + | 0.369976i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 60.0000 | 2.13335 | ||||||||
\(792\) | 3.00000 | − | 5.19615i | 0.106600 | − | 0.184637i | ||||
\(793\) | −4.00000 | − | 6.92820i | −0.142044 | − | 0.246028i | ||||
\(794\) | 5.00000 | − | 8.66025i | 0.177443 | − | 0.307341i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 5.00000 | + | 8.66025i | 0.177220 | + | 0.306955i | ||||
\(797\) | −6.00000 | −0.212531 | −0.106265 | − | 0.994338i | \(-0.533889\pi\) | ||||
−0.106265 | + | 0.994338i | \(0.533889\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 2.50000 | + | 4.33013i | 0.0883883 | + | 0.153093i | ||||
\(801\) | −6.00000 | − | 10.3923i | −0.212000 | − | 0.367194i | ||||
\(802\) | −13.5000 | + | 23.3827i | −0.476702 | + | 0.825671i | ||||
\(803\) | 1.50000 | + | 2.59808i | 0.0529339 | + | 0.0916841i | ||||
\(804\) | 3.50000 | − | 6.06218i | 0.123435 | − | 0.213797i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 4.00000 | 0.140894 | ||||||||
\(807\) | −6.00000 | + | 10.3923i | −0.211210 | + | 0.365826i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 45.0000 | 1.58212 | 0.791058 | − | 0.611741i | \(-0.209531\pi\) | ||||
0.791058 | + | 0.611741i | \(0.209531\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.00000 | + | 13.8564i | −0.280918 | + | 0.486564i | −0.971611 | − | 0.236584i | \(-0.923972\pi\) |
0.690693 | + | 0.723148i | \(0.257306\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −8.00000 | + | 13.8564i | −0.280572 | + | 0.485965i | ||||
\(814\) | −15.0000 | − | 25.9808i | −0.525750 | − | 0.910625i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 6.00000 | 0.210042 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −5.00000 | −0.174821 | ||||||||
\(819\) | 8.00000 | + | 13.8564i | 0.279543 | + | 0.484182i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −9.00000 | + | 15.5885i | −0.314102 | + | 0.544041i | −0.979246 | − | 0.202674i | \(-0.935037\pi\) |
0.665144 | + | 0.746715i | \(0.268370\pi\) | |||||||
\(822\) | 4.50000 | + | 7.79423i | 0.156956 | + | 0.271855i | ||||
\(823\) | −7.00000 | + | 12.1244i | −0.244005 | + | 0.422628i | −0.961851 | − | 0.273573i | \(-0.911795\pi\) |
0.717847 | + | 0.696201i | \(0.245128\pi\) | |||||||
\(824\) | −2.00000 | −0.0696733 | ||||||||
\(825\) | 15.0000 | 0.522233 | ||||||||
\(826\) | 18.0000 | − | 31.1769i | 0.626300 | − | 1.08478i | ||||
\(827\) | −19.5000 | + | 33.7750i | −0.678081 | + | 1.17447i | 0.297477 | + | 0.954729i | \(0.403855\pi\) |
−0.975558 | + | 0.219742i | \(0.929478\pi\) | |||||||
\(828\) | 12.0000 | 0.417029 | ||||||||
\(829\) | −44.0000 | −1.52818 | −0.764092 | − | 0.645108i | \(-0.776812\pi\) | ||||
−0.764092 | + | 0.645108i | \(0.776812\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 4.00000 | + | 6.92820i | 0.138758 | + | 0.240337i | ||||
\(832\) | 1.00000 | − | 1.73205i | 0.0346688 | − | 0.0600481i | ||||
\(833\) | 27.0000 | + | 46.7654i | 0.935495 | + | 1.62032i | ||||
\(834\) | 5.50000 | + | 9.52628i | 0.190449 | + | 0.329868i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −10.0000 | −0.345651 | ||||||||
\(838\) | 6.00000 | + | 10.3923i | 0.207267 | + | 0.358996i | ||||
\(839\) | −6.00000 | − | 10.3923i | −0.207143 | − | 0.358782i | 0.743670 | − | 0.668546i | \(-0.233083\pi\) |
−0.950813 | + | 0.309764i | \(0.899750\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.5000 | + | 25.1147i | 0.500000 | + | 0.866025i | ||||
\(842\) | −5.00000 | + | 8.66025i | −0.172311 | + | 0.298452i | ||||
\(843\) | 27.0000 | 0.929929 | ||||||||
\(844\) | −20.0000 | −0.688428 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 8.00000 | 0.274883 | ||||||||
\(848\) | −6.00000 | −0.206041 | ||||||||
\(849\) | 2.50000 | − | 4.33013i | 0.0857998 | − | 0.148610i | ||||
\(850\) | −15.0000 | − | 25.9808i | −0.514496 | − | 0.891133i | ||||
\(851\) | 30.0000 | − | 51.9615i | 1.02839 | − | 1.78122i | ||||
\(852\) | 3.00000 | + | 5.19615i | 0.102778 | + | 0.178017i | ||||
\(853\) | 11.0000 | + | 19.0526i | 0.376633 | + | 0.652347i | 0.990570 | − | 0.137008i | \(-0.0437485\pi\) |
−0.613937 | + | 0.789355i | \(0.710415\pi\) | |||||||
\(854\) | 16.0000 | 0.547509 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −1.50000 | − | 2.59808i | −0.0512390 | − | 0.0887486i | 0.839268 | − | 0.543718i | \(-0.182984\pi\) |
−0.890507 | + | 0.454969i | \(0.849650\pi\) | |||||||
\(858\) | −3.00000 | − | 5.19615i | −0.102418 | − | 0.177394i | ||||
\(859\) | 21.5000 | − | 37.2391i | 0.733571 | − | 1.27058i | −0.221777 | − | 0.975097i | \(-0.571186\pi\) |
0.955348 | − | 0.295484i | \(-0.0954809\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 18.0000 | − | 31.1769i | 0.613438 | − | 1.06251i | ||||
\(862\) | 30.0000 | 1.02180 | ||||||||
\(863\) | −18.0000 | −0.612727 | −0.306364 | − | 0.951915i | \(-0.599112\pi\) | ||||
−0.306364 | + | 0.951915i | \(0.599112\pi\) | |||||||
\(864\) | −2.50000 | + | 4.33013i | −0.0850517 | + | 0.147314i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −26.0000 | −0.883516 | ||||||||
\(867\) | −19.0000 | −0.645274 | ||||||||
\(868\) | −4.00000 | + | 6.92820i | −0.135769 | + | 0.235159i | ||||
\(869\) | −6.00000 | − | 10.3923i | −0.203536 | − | 0.352535i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.00000 | + | 12.1244i | 0.237186 | + | 0.410818i | ||||
\(872\) | −8.00000 | − | 13.8564i | −0.270914 | − | 0.469237i | ||||
\(873\) | 34.0000 | 1.15073 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −0.500000 | − | 0.866025i | −0.0168934 | − | 0.0292603i | ||||
\(877\) | 10.0000 | + | 17.3205i | 0.337676 | + | 0.584872i | 0.983995 | − | 0.178195i | \(-0.0570259\pi\) |
−0.646319 | + | 0.763067i | \(0.723693\pi\) | |||||||
\(878\) | 7.00000 | − | 12.1244i | 0.236239 | − | 0.409177i | ||||
\(879\) | −12.0000 | − | 20.7846i | −0.404750 | − | 0.701047i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −9.00000 | −0.303218 | −0.151609 | − | 0.988441i | \(-0.548445\pi\) | ||||
−0.151609 | + | 0.988441i | \(0.548445\pi\) | |||||||
\(882\) | −18.0000 | −0.606092 | ||||||||
\(883\) | 9.50000 | − | 16.4545i | 0.319700 | − | 0.553737i | −0.660725 | − | 0.750628i | \(-0.729751\pi\) |
0.980425 | + | 0.196891i | \(0.0630844\pi\) | |||||||
\(884\) | −6.00000 | + | 10.3923i | −0.201802 | + | 0.349531i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 9.00000 | 0.302361 | ||||||||
\(887\) | 24.0000 | − | 41.5692i | 0.805841 | − | 1.39576i | −0.109881 | − | 0.993945i | \(-0.535047\pi\) |
0.915722 | − | 0.401813i | \(-0.131620\pi\) | |||||||
\(888\) | 5.00000 | + | 8.66025i | 0.167789 | + | 0.290619i | ||||
\(889\) | −4.00000 | + | 6.92820i | −0.134156 | + | 0.232364i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.50000 | − | 2.59808i | −0.0502519 | − | 0.0870388i | ||||
\(892\) | −14.0000 | −0.468755 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −18.0000 | −0.602010 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 2.00000 | + | 3.46410i | 0.0668153 | + | 0.115728i | ||||
\(897\) | 6.00000 | − | 10.3923i | 0.200334 | − | 0.346989i | ||||
\(898\) | 4.50000 | + | 7.79423i | 0.150167 | + | 0.260097i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 10.0000 | 0.333333 | ||||||||
\(901\) | 36.0000 | 1.19933 | ||||||||
\(902\) | 13.5000 | − | 23.3827i | 0.449501 | − | 0.778558i | ||||
\(903\) | 8.00000 | − | 13.8564i | 0.266223 | − | 0.461112i | ||||
\(904\) | −15.0000 | −0.498893 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 5.00000 | − | 8.66025i | 0.166114 | − | 0.287718i | ||||
\(907\) | 8.50000 | + | 14.7224i | 0.282238 | + | 0.488850i | 0.971936 | − | 0.235247i | \(-0.0755899\pi\) |
−0.689698 | + | 0.724097i | \(0.742257\pi\) | |||||||
\(908\) | 1.50000 | − | 2.59808i | 0.0497792 | − | 0.0862202i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −30.0000 | −0.993944 | −0.496972 | − | 0.867766i | \(-0.665555\pi\) | ||||
−0.496972 | + | 0.867766i | \(0.665555\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 9.00000 | 0.297857 | ||||||||
\(914\) | −2.50000 | − | 4.33013i | −0.0826927 | − | 0.143228i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 8.00000 | − | 13.8564i | 0.264327 | − | 0.457829i | ||||
\(917\) | 18.0000 | + | 31.1769i | 0.594412 | + | 1.02955i | ||||
\(918\) | 15.0000 | − | 25.9808i | 0.495074 | − | 0.857493i | ||||
\(919\) | −10.0000 | −0.329870 | −0.164935 | − | 0.986304i | \(-0.552741\pi\) | ||||
−0.164935 | + | 0.986304i | \(0.552741\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 3.50000 | − | 6.06218i | 0.115329 | − | 0.199756i | ||||
\(922\) | −3.00000 | + | 5.19615i | −0.0987997 | + | 0.171126i | ||||
\(923\) | −12.0000 | −0.394985 | ||||||||
\(924\) | 12.0000 | 0.394771 | ||||||||
\(925\) | 25.0000 | − | 43.3013i | 0.821995 | − | 1.42374i | ||||
\(926\) | 17.0000 | + | 29.4449i | 0.558655 | + | 0.967618i | ||||
\(927\) | −2.00000 | + | 3.46410i | −0.0656886 | + | 0.113776i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 1.50000 | + | 2.59808i | 0.0492134 | + | 0.0852401i | 0.889583 | − | 0.456774i | \(-0.150995\pi\) |
−0.840369 | + | 0.542014i | \(0.817662\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.00000 | 0.0982683 | ||||||||
\(933\) | −15.0000 | − | 25.9808i | −0.491078 | − | 0.850572i | ||||
\(934\) | 13.5000 | + | 23.3827i | 0.441733 | + | 0.765105i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −2.00000 | − | 3.46410i | −0.0653720 | − | 0.113228i | ||||
\(937\) | −17.5000 | + | 30.3109i | −0.571700 | + | 0.990214i | 0.424691 | + | 0.905338i | \(0.360383\pi\) |
−0.996392 | + | 0.0848755i | \(0.972951\pi\) | |||||||
\(938\) | −28.0000 | −0.914232 | ||||||||
\(939\) | 19.0000 | 0.620042 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −21.0000 | + | 36.3731i | −0.684580 | + | 1.18573i | 0.288988 | + | 0.957333i | \(0.406681\pi\) |
−0.973568 | + | 0.228395i | \(0.926652\pi\) | |||||||
\(942\) | 16.0000 | 0.521308 | ||||||||
\(943\) | 54.0000 | 1.75848 | ||||||||
\(944\) | −4.50000 | + | 7.79423i | −0.146463 | + | 0.253681i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.00000 | − | 10.3923i | 0.195077 | − | 0.337883i | ||||
\(947\) | −30.0000 | − | 51.9615i | −0.974869 | − | 1.68852i | −0.680367 | − | 0.732872i | \(-0.738179\pi\) |
−0.294502 | − | 0.955651i | \(-0.595154\pi\) | |||||||
\(948\) | 2.00000 | + | 3.46410i | 0.0649570 | + | 0.112509i | ||||
\(949\) | 2.00000 | 0.0649227 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −18.0000 | −0.583690 | ||||||||
\(952\) | −12.0000 | − | 20.7846i | −0.388922 | − | 0.673633i | ||||
\(953\) | −7.50000 | − | 12.9904i | −0.242949 | − | 0.420800i | 0.718604 | − | 0.695419i | \(-0.244781\pi\) |
−0.961553 | + | 0.274620i | \(0.911448\pi\) | |||||||
\(954\) | −6.00000 | + | 10.3923i | −0.194257 | + | 0.336463i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 6.00000 | − | 10.3923i | 0.194054 | − | 0.336111i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 36.0000 | 1.16311 | ||||||||
\(959\) | 18.0000 | − | 31.1769i | 0.581250 | − | 1.00676i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −27.0000 | −0.870968 | ||||||||
\(962\) | −20.0000 | −0.644826 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.50000 | + | 4.33013i | 0.0805196 | + | 0.139464i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 12.0000 | + | 20.7846i | 0.386094 | + | 0.668734i | ||||
\(967\) | 17.0000 | + | 29.4449i | 0.546683 | + | 0.946883i | 0.998499 | + | 0.0547717i | \(0.0174431\pi\) |
−0.451816 | + | 0.892111i | \(0.649224\pi\) | |||||||
\(968\) | −2.00000 | −0.0642824 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 10.5000 | + | 18.1865i | 0.336961 | + | 0.583634i | 0.983860 | − | 0.178942i | \(-0.0572676\pi\) |
−0.646899 | + | 0.762576i | \(0.723934\pi\) | |||||||
\(972\) | 8.00000 | + | 13.8564i | 0.256600 | + | 0.444444i | ||||
\(973\) | 22.0000 | − | 38.1051i | 0.705288 | − | 1.22159i | ||||
\(974\) | 1.00000 | + | 1.73205i | 0.0320421 | + | 0.0554985i | ||||
\(975\) | 5.00000 | − | 8.66025i | 0.160128 | − | 0.277350i | ||||
\(976\) | −4.00000 | −0.128037 | ||||||||
\(977\) | −33.0000 | −1.05576 | −0.527882 | − | 0.849318i | \(-0.677014\pi\) | ||||
−0.527882 | + | 0.849318i | \(0.677014\pi\) | |||||||
\(978\) | −9.50000 | + | 16.4545i | −0.303777 | + | 0.526156i | ||||
\(979\) | 9.00000 | − | 15.5885i | 0.287641 | − | 0.498209i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −32.0000 | −1.02168 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 12.0000 | + | 20.7846i | 0.382741 | + | 0.662926i | 0.991453 | − | 0.130465i | \(-0.0416470\pi\) |
−0.608712 | + | 0.793391i | \(0.708314\pi\) | |||||||
\(984\) | −4.50000 | + | 7.79423i | −0.143455 | + | 0.248471i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 24.0000 | 0.763156 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.00000 | + | 6.92820i | 0.127064 | + | 0.220082i | 0.922538 | − | 0.385906i | \(-0.126111\pi\) |
−0.795474 | + | 0.605988i | \(0.792778\pi\) | |||||||
\(992\) | 1.00000 | − | 1.73205i | 0.0317500 | − | 0.0549927i | ||||
\(993\) | −2.50000 | − | 4.33013i | −0.0793351 | − | 0.137412i | ||||
\(994\) | 12.0000 | − | 20.7846i | 0.380617 | − | 0.659248i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −3.00000 | −0.0950586 | ||||||||
\(997\) | 2.00000 | − | 3.46410i | 0.0633406 | − | 0.109709i | −0.832616 | − | 0.553851i | \(-0.813158\pi\) |
0.895957 | + | 0.444141i | \(0.146491\pi\) | |||||||
\(998\) | 12.5000 | − | 21.6506i | 0.395681 | − | 0.685339i | ||||
\(999\) | 50.0000 | 1.58193 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))