Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(491,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.491");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.q (of order \(6\), degree \(2\), 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: | \(5.08647060876\) |
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 13) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 491.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.491 |
Dual form | 637.2.q.a.589.1 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.50000 | + | 0.866025i | −1.06066 | + | 0.612372i | −0.925615 | − | 0.378467i | \(-0.876451\pi\) |
−0.135045 | + | 0.990839i | \(0.543118\pi\) | |||||||
\(3\) | 1.00000 | + | 1.73205i | 0.577350 | + | 1.00000i | 0.995782 | + | 0.0917517i | \(0.0292466\pi\) |
−0.418432 | + | 0.908248i | \(0.637420\pi\) | |||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | − | 1.73205i | − | 0.774597i | −0.921954 | − | 0.387298i | \(-0.873408\pi\) | ||
0.921954 | − | 0.387298i | \(-0.126592\pi\) | |||||||
\(6\) | −3.00000 | − | 1.73205i | −1.22474 | − | 0.707107i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | − | 1.73205i | − | 0.612372i | ||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 1.50000 | + | 2.59808i | 0.474342 | + | 0.821584i | ||||
\(11\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(12\) | 2.00000 | 0.577350 | ||||||||
\(13\) | 2.50000 | − | 2.59808i | 0.693375 | − | 0.720577i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.00000 | − | 1.73205i | 0.774597 | − | 0.447214i | ||||
\(16\) | 2.50000 | + | 4.33013i | 0.625000 | + | 1.08253i | ||||
\(17\) | −1.50000 | + | 2.59808i | −0.363803 | + | 0.630126i | −0.988583 | − | 0.150675i | \(-0.951855\pi\) |
0.624780 | + | 0.780801i | \(0.285189\pi\) | |||||||
\(18\) | − | 1.73205i | − | 0.408248i | ||||||
\(19\) | 3.00000 | + | 1.73205i | 0.688247 | + | 0.397360i | 0.802955 | − | 0.596040i | \(-0.203260\pi\) |
−0.114708 | + | 0.993399i | \(0.536593\pi\) | |||||||
\(20\) | −1.50000 | − | 0.866025i | −0.335410 | − | 0.193649i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.00000 | + | 5.19615i | 0.625543 | + | 1.08347i | 0.988436 | + | 0.151642i | \(0.0484560\pi\) |
−0.362892 | + | 0.931831i | \(0.618211\pi\) | |||||||
\(24\) | 3.00000 | − | 1.73205i | 0.612372 | − | 0.353553i | ||||
\(25\) | 2.00000 | 0.400000 | ||||||||
\(26\) | −1.50000 | + | 6.06218i | −0.294174 | + | 1.18889i | ||||
\(27\) | 4.00000 | 0.769800 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.50000 | − | 2.59808i | −0.278543 | − | 0.482451i | 0.692480 | − | 0.721437i | \(-0.256518\pi\) |
−0.971023 | + | 0.238987i | \(0.923185\pi\) | |||||||
\(30\) | −3.00000 | + | 5.19615i | −0.547723 | + | 0.948683i | ||||
\(31\) | 3.46410i | 0.622171i | 0.950382 | + | 0.311086i | \(0.100693\pi\) | ||||
−0.950382 | + | 0.311086i | \(0.899307\pi\) | |||||||
\(32\) | −4.50000 | − | 2.59808i | −0.795495 | − | 0.459279i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 5.19615i | − | 0.891133i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.500000 | + | 0.866025i | 0.0833333 | + | 0.144338i | ||||
\(37\) | 7.50000 | − | 4.33013i | 1.23299 | − | 0.711868i | 0.265340 | − | 0.964155i | \(-0.414516\pi\) |
0.967653 | + | 0.252286i | \(0.0811825\pi\) | |||||||
\(38\) | −6.00000 | −0.973329 | ||||||||
\(39\) | 7.00000 | + | 1.73205i | 1.12090 | + | 0.277350i | ||||
\(40\) | −3.00000 | −0.474342 | ||||||||
\(41\) | 4.50000 | − | 2.59808i | 0.702782 | − | 0.405751i | −0.105601 | − | 0.994409i | \(-0.533677\pi\) |
0.808383 | + | 0.588657i | \(0.200343\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.00000 | + | 6.92820i | −0.609994 | + | 1.05654i | 0.381246 | + | 0.924473i | \(0.375495\pi\) |
−0.991241 | + | 0.132068i | \(0.957838\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.50000 | + | 0.866025i | 0.223607 | + | 0.129099i | ||||
\(46\) | −9.00000 | − | 5.19615i | −1.32698 | − | 0.766131i | ||||
\(47\) | − | 3.46410i | − | 0.505291i | −0.967559 | − | 0.252646i | \(-0.918699\pi\) | ||
0.967559 | − | 0.252646i | \(-0.0813007\pi\) | |||||||
\(48\) | −5.00000 | + | 8.66025i | −0.721688 | + | 1.25000i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −3.00000 | + | 1.73205i | −0.424264 | + | 0.244949i | ||||
\(51\) | −6.00000 | −0.840168 | ||||||||
\(52\) | −1.00000 | − | 3.46410i | −0.138675 | − | 0.480384i | ||||
\(53\) | −3.00000 | −0.412082 | −0.206041 | − | 0.978543i | \(-0.566058\pi\) | ||||
−0.206041 | + | 0.978543i | \(0.566058\pi\) | |||||||
\(54\) | −6.00000 | + | 3.46410i | −0.816497 | + | 0.471405i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.92820i | 0.917663i | ||||||||
\(58\) | 4.50000 | + | 2.59808i | 0.590879 | + | 0.341144i | ||||
\(59\) | −6.00000 | − | 3.46410i | −0.781133 | − | 0.450988i | 0.0556984 | − | 0.998448i | \(-0.482261\pi\) |
−0.836832 | + | 0.547460i | \(0.815595\pi\) | |||||||
\(60\) | − | 3.46410i | − | 0.447214i | ||||||
\(61\) | 0.500000 | − | 0.866025i | 0.0640184 | − | 0.110883i | −0.832240 | − | 0.554416i | \(-0.812942\pi\) |
0.896258 | + | 0.443533i | \(0.146275\pi\) | |||||||
\(62\) | −3.00000 | − | 5.19615i | −0.381000 | − | 0.659912i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −4.50000 | − | 4.33013i | −0.558156 | − | 0.537086i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.00000 | − | 1.73205i | 0.366508 | − | 0.211604i | −0.305424 | − | 0.952217i | \(-0.598798\pi\) |
0.671932 | + | 0.740613i | \(0.265465\pi\) | |||||||
\(68\) | 1.50000 | + | 2.59808i | 0.181902 | + | 0.315063i | ||||
\(69\) | −6.00000 | + | 10.3923i | −0.722315 | + | 1.25109i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.00000 | + | 1.73205i | 0.356034 | + | 0.205557i | 0.667340 | − | 0.744753i | \(-0.267433\pi\) |
−0.311305 | + | 0.950310i | \(0.600766\pi\) | |||||||
\(72\) | 1.50000 | + | 0.866025i | 0.176777 | + | 0.102062i | ||||
\(73\) | 1.73205i | 0.202721i | 0.994850 | + | 0.101361i | \(0.0323196\pi\) | ||||
−0.994850 | + | 0.101361i | \(0.967680\pi\) | |||||||
\(74\) | −7.50000 | + | 12.9904i | −0.871857 | + | 1.51010i | ||||
\(75\) | 2.00000 | + | 3.46410i | 0.230940 | + | 0.400000i | ||||
\(76\) | 3.00000 | − | 1.73205i | 0.344124 | − | 0.198680i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −12.0000 | + | 3.46410i | −1.35873 | + | 0.392232i | ||||
\(79\) | 4.00000 | 0.450035 | 0.225018 | − | 0.974355i | \(-0.427756\pi\) | ||||
0.225018 | + | 0.974355i | \(0.427756\pi\) | |||||||
\(80\) | 7.50000 | − | 4.33013i | 0.838525 | − | 0.484123i | ||||
\(81\) | 5.50000 | + | 9.52628i | 0.611111 | + | 1.05848i | ||||
\(82\) | −4.50000 | + | 7.79423i | −0.496942 | + | 0.860729i | ||||
\(83\) | 13.8564i | 1.52094i | 0.649374 | + | 0.760469i | \(0.275031\pi\) | ||||
−0.649374 | + | 0.760469i | \(0.724969\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.50000 | + | 2.59808i | 0.488094 | + | 0.281801i | ||||
\(86\) | − | 13.8564i | − | 1.49417i | ||||||
\(87\) | 3.00000 | − | 5.19615i | 0.321634 | − | 0.557086i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 6.00000 | − | 3.46410i | 0.635999 | − | 0.367194i | −0.147073 | − | 0.989126i | \(-0.546985\pi\) |
0.783072 | + | 0.621932i | \(0.213652\pi\) | |||||||
\(90\) | −3.00000 | −0.316228 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 6.00000 | 0.625543 | ||||||||
\(93\) | −6.00000 | + | 3.46410i | −0.622171 | + | 0.359211i | ||||
\(94\) | 3.00000 | + | 5.19615i | 0.309426 | + | 0.535942i | ||||
\(95\) | 3.00000 | − | 5.19615i | 0.307794 | − | 0.533114i | ||||
\(96\) | − | 10.3923i | − | 1.06066i | ||||||
\(97\) | −6.00000 | − | 3.46410i | −0.609208 | − | 0.351726i | 0.163448 | − | 0.986552i | \(-0.447739\pi\) |
−0.772655 | + | 0.634826i | \(0.781072\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.00000 | − | 1.73205i | 0.100000 | − | 0.173205i | ||||
\(101\) | −1.50000 | − | 2.59808i | −0.149256 | − | 0.258518i | 0.781697 | − | 0.623658i | \(-0.214354\pi\) |
−0.930953 | + | 0.365140i | \(0.881021\pi\) | |||||||
\(102\) | 9.00000 | − | 5.19615i | 0.891133 | − | 0.514496i | ||||
\(103\) | 10.0000 | 0.985329 | 0.492665 | − | 0.870219i | \(-0.336023\pi\) | ||||
0.492665 | + | 0.870219i | \(0.336023\pi\) | |||||||
\(104\) | −4.50000 | − | 4.33013i | −0.441261 | − | 0.424604i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.50000 | − | 2.59808i | 0.437079 | − | 0.252347i | ||||
\(107\) | −3.00000 | − | 5.19615i | −0.290021 | − | 0.502331i | 0.683793 | − | 0.729676i | \(-0.260329\pi\) |
−0.973814 | + | 0.227345i | \(0.926996\pi\) | |||||||
\(108\) | 2.00000 | − | 3.46410i | 0.192450 | − | 0.333333i | ||||
\(109\) | 13.8564i | 1.32720i | 0.748086 | + | 0.663602i | \(0.230973\pi\) | ||||
−0.748086 | + | 0.663602i | \(0.769027\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 15.0000 | + | 8.66025i | 1.42374 | + | 0.821995i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.50000 | − | 12.9904i | 0.705541 | − | 1.22203i | −0.260955 | − | 0.965351i | \(-0.584038\pi\) |
0.966496 | − | 0.256681i | \(-0.0826291\pi\) | |||||||
\(114\) | −6.00000 | − | 10.3923i | −0.561951 | − | 0.973329i | ||||
\(115\) | 9.00000 | − | 5.19615i | 0.839254 | − | 0.484544i | ||||
\(116\) | −3.00000 | −0.278543 | ||||||||
\(117\) | 1.00000 | + | 3.46410i | 0.0924500 | + | 0.320256i | ||||
\(118\) | 12.0000 | 1.10469 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −3.00000 | − | 5.19615i | −0.273861 | − | 0.474342i | ||||
\(121\) | −5.50000 | + | 9.52628i | −0.500000 | + | 0.866025i | ||||
\(122\) | 1.73205i | 0.156813i | ||||||||
\(123\) | 9.00000 | + | 5.19615i | 0.811503 | + | 0.468521i | ||||
\(124\) | 3.00000 | + | 1.73205i | 0.269408 | + | 0.155543i | ||||
\(125\) | − | 12.1244i | − | 1.08444i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.00000 | + | 1.73205i | 0.0887357 | + | 0.153695i | 0.906977 | − | 0.421180i | \(-0.138384\pi\) |
−0.818241 | + | 0.574875i | \(0.805051\pi\) | |||||||
\(128\) | 10.5000 | − | 6.06218i | 0.928078 | − | 0.535826i | ||||
\(129\) | −16.0000 | −1.40872 | ||||||||
\(130\) | 10.5000 | + | 2.59808i | 0.920911 | + | 0.227866i | ||||
\(131\) | −18.0000 | −1.57267 | −0.786334 | − | 0.617802i | \(-0.788023\pi\) | ||||
−0.786334 | + | 0.617802i | \(0.788023\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −3.00000 | + | 5.19615i | −0.259161 | + | 0.448879i | ||||
\(135\) | − | 6.92820i | − | 0.596285i | ||||||
\(136\) | 4.50000 | + | 2.59808i | 0.385872 | + | 0.222783i | ||||
\(137\) | −13.5000 | − | 7.79423i | −1.15338 | − | 0.665906i | −0.203674 | − | 0.979039i | \(-0.565288\pi\) |
−0.949709 | + | 0.313133i | \(0.898621\pi\) | |||||||
\(138\) | − | 20.7846i | − | 1.76930i | ||||||
\(139\) | −2.00000 | + | 3.46410i | −0.169638 | + | 0.293821i | −0.938293 | − | 0.345843i | \(-0.887593\pi\) |
0.768655 | + | 0.639664i | \(0.220926\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.00000 | − | 3.46410i | 0.505291 | − | 0.291730i | ||||
\(142\) | −6.00000 | −0.503509 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −5.00000 | −0.416667 | ||||||||
\(145\) | −4.50000 | + | 2.59808i | −0.373705 | + | 0.215758i | ||||
\(146\) | −1.50000 | − | 2.59808i | −0.124141 | − | 0.215018i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 8.66025i | − | 0.711868i | ||||||
\(149\) | −16.5000 | − | 9.52628i | −1.35173 | − | 0.780423i | −0.363241 | − | 0.931695i | \(-0.618330\pi\) |
−0.988492 | + | 0.151272i | \(0.951663\pi\) | |||||||
\(150\) | −6.00000 | − | 3.46410i | −0.489898 | − | 0.282843i | ||||
\(151\) | − | 17.3205i | − | 1.40952i | −0.709444 | − | 0.704761i | \(-0.751054\pi\) | ||
0.709444 | − | 0.704761i | \(-0.248946\pi\) | |||||||
\(152\) | 3.00000 | − | 5.19615i | 0.243332 | − | 0.421464i | ||||
\(153\) | −1.50000 | − | 2.59808i | −0.121268 | − | 0.210042i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 6.00000 | 0.481932 | ||||||||
\(156\) | 5.00000 | − | 5.19615i | 0.400320 | − | 0.416025i | ||||
\(157\) | 13.0000 | 1.03751 | 0.518756 | − | 0.854922i | \(-0.326395\pi\) | ||||
0.518756 | + | 0.854922i | \(0.326395\pi\) | |||||||
\(158\) | −6.00000 | + | 3.46410i | −0.477334 | + | 0.275589i | ||||
\(159\) | −3.00000 | − | 5.19615i | −0.237915 | − | 0.412082i | ||||
\(160\) | −4.50000 | + | 7.79423i | −0.355756 | + | 0.616188i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −16.5000 | − | 9.52628i | −1.29636 | − | 0.748455i | ||||
\(163\) | 18.0000 | + | 10.3923i | 1.40987 | + | 0.813988i | 0.995375 | − | 0.0960641i | \(-0.0306254\pi\) |
0.414494 | + | 0.910052i | \(0.363959\pi\) | |||||||
\(164\) | − | 5.19615i | − | 0.405751i | ||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −12.0000 | − | 20.7846i | −0.931381 | − | 1.61320i | ||||
\(167\) | 12.0000 | − | 6.92820i | 0.928588 | − | 0.536120i | 0.0422232 | − | 0.999108i | \(-0.486556\pi\) |
0.886365 | + | 0.462988i | \(0.153223\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.500000 | − | 12.9904i | −0.0384615 | − | 0.999260i | ||||
\(170\) | −9.00000 | −0.690268 | ||||||||
\(171\) | −3.00000 | + | 1.73205i | −0.229416 | + | 0.132453i | ||||
\(172\) | 4.00000 | + | 6.92820i | 0.304997 | + | 0.528271i | ||||
\(173\) | 3.00000 | − | 5.19615i | 0.228086 | − | 0.395056i | −0.729155 | − | 0.684349i | \(-0.760087\pi\) |
0.957241 | + | 0.289292i | \(0.0934200\pi\) | |||||||
\(174\) | 10.3923i | 0.787839i | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 13.8564i | − | 1.04151i | ||||||
\(178\) | −6.00000 | + | 10.3923i | −0.449719 | + | 0.778936i | ||||
\(179\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(180\) | 1.50000 | − | 0.866025i | 0.111803 | − | 0.0645497i | ||||
\(181\) | −11.0000 | −0.817624 | −0.408812 | − | 0.912619i | \(-0.634057\pi\) | ||||
−0.408812 | + | 0.912619i | \(0.634057\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.00000 | 0.147844 | ||||||||
\(184\) | 9.00000 | − | 5.19615i | 0.663489 | − | 0.383065i | ||||
\(185\) | −7.50000 | − | 12.9904i | −0.551411 | − | 0.955072i | ||||
\(186\) | 6.00000 | − | 10.3923i | 0.439941 | − | 0.762001i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −3.00000 | − | 1.73205i | −0.218797 | − | 0.126323i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 10.3923i | 0.753937i | ||||||||
\(191\) | −9.00000 | + | 15.5885i | −0.651217 | + | 1.12794i | 0.331611 | + | 0.943416i | \(0.392408\pi\) |
−0.982828 | + | 0.184525i | \(0.940925\pi\) | |||||||
\(192\) | −1.00000 | − | 1.73205i | −0.0721688 | − | 0.125000i | ||||
\(193\) | −4.50000 | + | 2.59808i | −0.323917 | + | 0.187014i | −0.653137 | − | 0.757240i | \(-0.726548\pi\) |
0.329220 | + | 0.944253i | \(0.393214\pi\) | |||||||
\(194\) | 12.0000 | 0.861550 | ||||||||
\(195\) | 3.00000 | − | 12.1244i | 0.214834 | − | 0.868243i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 12.0000 | − | 6.92820i | 0.854965 | − | 0.493614i | −0.00735824 | − | 0.999973i | \(-0.502342\pi\) |
0.862323 | + | 0.506359i | \(0.169009\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.00000 | + | 1.73205i | −0.0708881 | + | 0.122782i | −0.899291 | − | 0.437351i | \(-0.855917\pi\) |
0.828403 | + | 0.560133i | \(0.189250\pi\) | |||||||
\(200\) | − | 3.46410i | − | 0.244949i | ||||||
\(201\) | 6.00000 | + | 3.46410i | 0.423207 | + | 0.244339i | ||||
\(202\) | 4.50000 | + | 2.59808i | 0.316619 | + | 0.182800i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −3.00000 | + | 5.19615i | −0.210042 | + | 0.363803i | ||||
\(205\) | −4.50000 | − | 7.79423i | −0.314294 | − | 0.544373i | ||||
\(206\) | −15.0000 | + | 8.66025i | −1.04510 | + | 0.603388i | ||||
\(207\) | −6.00000 | −0.417029 | ||||||||
\(208\) | 17.5000 | + | 4.33013i | 1.21341 | + | 0.300240i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.00000 | − | 8.66025i | −0.344214 | − | 0.596196i | 0.640996 | − | 0.767544i | \(-0.278521\pi\) |
−0.985211 | + | 0.171347i | \(0.945188\pi\) | |||||||
\(212\) | −1.50000 | + | 2.59808i | −0.103020 | + | 0.178437i | ||||
\(213\) | 6.92820i | 0.474713i | ||||||||
\(214\) | 9.00000 | + | 5.19615i | 0.615227 | + | 0.355202i | ||||
\(215\) | 12.0000 | + | 6.92820i | 0.818393 | + | 0.472500i | ||||
\(216\) | − | 6.92820i | − | 0.471405i | ||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −12.0000 | − | 20.7846i | −0.812743 | − | 1.40771i | ||||
\(219\) | −3.00000 | + | 1.73205i | −0.202721 | + | 0.117041i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.00000 | + | 10.3923i | 0.201802 | + | 0.699062i | ||||
\(222\) | −30.0000 | −2.01347 | ||||||||
\(223\) | 9.00000 | − | 5.19615i | 0.602685 | − | 0.347960i | −0.167412 | − | 0.985887i | \(-0.553541\pi\) |
0.770097 | + | 0.637927i | \(0.220208\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.00000 | + | 1.73205i | −0.0666667 | + | 0.115470i | ||||
\(226\) | 25.9808i | 1.72821i | ||||||||
\(227\) | −21.0000 | − | 12.1244i | −1.39382 | − | 0.804722i | −0.400083 | − | 0.916479i | \(-0.631019\pi\) |
−0.993736 | + | 0.111757i | \(0.964352\pi\) | |||||||
\(228\) | 6.00000 | + | 3.46410i | 0.397360 | + | 0.229416i | ||||
\(229\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(230\) | −9.00000 | + | 15.5885i | −0.593442 | + | 1.02787i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.50000 | + | 2.59808i | −0.295439 | + | 0.170572i | ||||
\(233\) | 6.00000 | 0.393073 | 0.196537 | − | 0.980497i | \(-0.437031\pi\) | ||||
0.196537 | + | 0.980497i | \(0.437031\pi\) | |||||||
\(234\) | −4.50000 | − | 4.33013i | −0.294174 | − | 0.283069i | ||||
\(235\) | −6.00000 | −0.391397 | ||||||||
\(236\) | −6.00000 | + | 3.46410i | −0.390567 | + | 0.225494i | ||||
\(237\) | 4.00000 | + | 6.92820i | 0.259828 | + | 0.450035i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 20.7846i | 1.34444i | 0.740349 | + | 0.672222i | \(0.234660\pi\) | ||||
−0.740349 | + | 0.672222i | \(0.765340\pi\) | |||||||
\(240\) | 15.0000 | + | 8.66025i | 0.968246 | + | 0.559017i | ||||
\(241\) | 1.50000 | + | 0.866025i | 0.0966235 | + | 0.0557856i | 0.547533 | − | 0.836784i | \(-0.315567\pi\) |
−0.450910 | + | 0.892570i | \(0.648900\pi\) | |||||||
\(242\) | − | 19.0526i | − | 1.22474i | ||||||
\(243\) | −5.00000 | + | 8.66025i | −0.320750 | + | 0.555556i | ||||
\(244\) | −0.500000 | − | 0.866025i | −0.0320092 | − | 0.0554416i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −18.0000 | −1.14764 | ||||||||
\(247\) | 12.0000 | − | 3.46410i | 0.763542 | − | 0.220416i | ||||
\(248\) | 6.00000 | 0.381000 | ||||||||
\(249\) | −24.0000 | + | 13.8564i | −1.52094 | + | 0.878114i | ||||
\(250\) | 10.5000 | + | 18.1865i | 0.664078 | + | 1.15022i | ||||
\(251\) | −9.00000 | + | 15.5885i | −0.568075 | + | 0.983935i | 0.428681 | + | 0.903456i | \(0.358978\pi\) |
−0.996756 | + | 0.0804789i | \(0.974355\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −3.00000 | − | 1.73205i | −0.188237 | − | 0.108679i | ||||
\(255\) | 10.3923i | 0.650791i | ||||||||
\(256\) | −9.50000 | + | 16.4545i | −0.593750 | + | 1.02841i | ||||
\(257\) | 1.50000 | + | 2.59808i | 0.0935674 | + | 0.162064i | 0.909010 | − | 0.416775i | \(-0.136840\pi\) |
−0.815442 | + | 0.578838i | \(0.803506\pi\) | |||||||
\(258\) | 24.0000 | − | 13.8564i | 1.49417 | − | 0.862662i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −6.00000 | + | 1.73205i | −0.372104 | + | 0.107417i | ||||
\(261\) | 3.00000 | 0.185695 | ||||||||
\(262\) | 27.0000 | − | 15.5885i | 1.66807 | − | 0.963058i | ||||
\(263\) | −6.00000 | − | 10.3923i | −0.369976 | − | 0.640817i | 0.619586 | − | 0.784929i | \(-0.287301\pi\) |
−0.989561 | + | 0.144112i | \(0.953967\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.19615i | 0.319197i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 12.0000 | + | 6.92820i | 0.734388 | + | 0.423999i | ||||
\(268\) | − | 3.46410i | − | 0.211604i | ||||||
\(269\) | −3.00000 | + | 5.19615i | −0.182913 | + | 0.316815i | −0.942871 | − | 0.333157i | \(-0.891886\pi\) |
0.759958 | + | 0.649972i | \(0.225219\pi\) | |||||||
\(270\) | 6.00000 | + | 10.3923i | 0.365148 | + | 0.632456i | ||||
\(271\) | −18.0000 | + | 10.3923i | −1.09342 | + | 0.631288i | −0.934485 | − | 0.356001i | \(-0.884140\pi\) |
−0.158937 | + | 0.987289i | \(0.550807\pi\) | |||||||
\(272\) | −15.0000 | −0.909509 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 27.0000 | 1.63113 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 6.00000 | + | 10.3923i | 0.361158 | + | 0.625543i | ||||
\(277\) | 3.50000 | − | 6.06218i | 0.210295 | − | 0.364241i | −0.741512 | − | 0.670940i | \(-0.765891\pi\) |
0.951807 | + | 0.306699i | \(0.0992243\pi\) | |||||||
\(278\) | − | 6.92820i | − | 0.415526i | ||||||
\(279\) | −3.00000 | − | 1.73205i | −0.179605 | − | 0.103695i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 22.5167i | 1.34323i | 0.740900 | + | 0.671616i | \(0.234399\pi\) | ||||
−0.740900 | + | 0.671616i | \(0.765601\pi\) | |||||||
\(282\) | −6.00000 | + | 10.3923i | −0.357295 | + | 0.618853i | ||||
\(283\) | 2.00000 | + | 3.46410i | 0.118888 | + | 0.205919i | 0.919327 | − | 0.393494i | \(-0.128734\pi\) |
−0.800439 | + | 0.599414i | \(0.795400\pi\) | |||||||
\(284\) | 3.00000 | − | 1.73205i | 0.178017 | − | 0.102778i | ||||
\(285\) | 12.0000 | 0.710819 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 4.50000 | − | 2.59808i | 0.265165 | − | 0.153093i | ||||
\(289\) | 4.00000 | + | 6.92820i | 0.235294 | + | 0.407541i | ||||
\(290\) | 4.50000 | − | 7.79423i | 0.264249 | − | 0.457693i | ||||
\(291\) | − | 13.8564i | − | 0.812277i | ||||||
\(292\) | 1.50000 | + | 0.866025i | 0.0877809 | + | 0.0506803i | ||||
\(293\) | −4.50000 | − | 2.59808i | −0.262893 | − | 0.151781i | 0.362761 | − | 0.931882i | \(-0.381834\pi\) |
−0.625653 | + | 0.780101i | \(0.715168\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.00000 | + | 10.3923i | −0.349334 | + | 0.605063i | ||||
\(296\) | −7.50000 | − | 12.9904i | −0.435929 | − | 0.755051i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 33.0000 | 1.91164 | ||||||||
\(299\) | 21.0000 | + | 5.19615i | 1.21446 | + | 0.300501i | ||||
\(300\) | 4.00000 | 0.230940 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 15.0000 | + | 25.9808i | 0.863153 | + | 1.49502i | ||||
\(303\) | 3.00000 | − | 5.19615i | 0.172345 | − | 0.298511i | ||||
\(304\) | 17.3205i | 0.993399i | ||||||||
\(305\) | −1.50000 | − | 0.866025i | −0.0858898 | − | 0.0495885i | ||||
\(306\) | 4.50000 | + | 2.59808i | 0.257248 | + | 0.148522i | ||||
\(307\) | − | 17.3205i | − | 0.988534i | −0.869310 | − | 0.494267i | \(-0.835437\pi\) | ||
0.869310 | − | 0.494267i | \(-0.164563\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 10.0000 | + | 17.3205i | 0.568880 | + | 0.985329i | ||||
\(310\) | −9.00000 | + | 5.19615i | −0.511166 | + | 0.295122i | ||||
\(311\) | 30.0000 | 1.70114 | 0.850572 | − | 0.525859i | \(-0.176256\pi\) | ||||
0.850572 | + | 0.525859i | \(0.176256\pi\) | |||||||
\(312\) | 3.00000 | − | 12.1244i | 0.169842 | − | 0.686406i | ||||
\(313\) | −10.0000 | −0.565233 | −0.282617 | − | 0.959233i | \(-0.591202\pi\) | ||||
−0.282617 | + | 0.959233i | \(0.591202\pi\) | |||||||
\(314\) | −19.5000 | + | 11.2583i | −1.10045 | + | 0.635344i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.00000 | − | 3.46410i | 0.112509 | − | 0.194871i | ||||
\(317\) | 5.19615i | 0.291845i | 0.989296 | + | 0.145922i | \(0.0466150\pi\) | ||||
−0.989296 | + | 0.145922i | \(0.953385\pi\) | |||||||
\(318\) | 9.00000 | + | 5.19615i | 0.504695 | + | 0.291386i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 1.73205i | 0.0968246i | ||||||||
\(321\) | 6.00000 | − | 10.3923i | 0.334887 | − | 0.580042i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −9.00000 | + | 5.19615i | −0.500773 | + | 0.289122i | ||||
\(324\) | 11.0000 | 0.611111 | ||||||||
\(325\) | 5.00000 | − | 5.19615i | 0.277350 | − | 0.288231i | ||||
\(326\) | −36.0000 | −1.99386 | ||||||||
\(327\) | −24.0000 | + | 13.8564i | −1.32720 | + | 0.766261i | ||||
\(328\) | −4.50000 | − | 7.79423i | −0.248471 | − | 0.430364i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −24.0000 | − | 13.8564i | −1.31916 | − | 0.761617i | −0.335566 | − | 0.942017i | \(-0.608928\pi\) |
−0.983593 | + | 0.180400i | \(0.942261\pi\) | |||||||
\(332\) | 12.0000 | + | 6.92820i | 0.658586 | + | 0.380235i | ||||
\(333\) | 8.66025i | 0.474579i | ||||||||
\(334\) | −12.0000 | + | 20.7846i | −0.656611 | + | 1.13728i | ||||
\(335\) | −3.00000 | − | 5.19615i | −0.163908 | − | 0.283896i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −23.0000 | −1.25289 | −0.626445 | − | 0.779466i | \(-0.715491\pi\) | ||||
−0.626445 | + | 0.779466i | \(0.715491\pi\) | |||||||
\(338\) | 12.0000 | + | 19.0526i | 0.652714 | + | 1.03632i | ||||
\(339\) | 30.0000 | 1.62938 | ||||||||
\(340\) | 4.50000 | − | 2.59808i | 0.244047 | − | 0.140900i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 3.00000 | − | 5.19615i | 0.162221 | − | 0.280976i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 12.0000 | + | 6.92820i | 0.646997 | + | 0.373544i | ||||
\(345\) | 18.0000 | + | 10.3923i | 0.969087 | + | 0.559503i | ||||
\(346\) | 10.3923i | 0.558694i | ||||||||
\(347\) | 15.0000 | − | 25.9808i | 0.805242 | − | 1.39472i | −0.110885 | − | 0.993833i | \(-0.535369\pi\) |
0.916127 | − | 0.400887i | \(-0.131298\pi\) | |||||||
\(348\) | −3.00000 | − | 5.19615i | −0.160817 | − | 0.278543i | ||||
\(349\) | −12.0000 | + | 6.92820i | −0.642345 | + | 0.370858i | −0.785517 | − | 0.618840i | \(-0.787603\pi\) |
0.143172 | + | 0.989698i | \(0.454270\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 10.0000 | − | 10.3923i | 0.533761 | − | 0.554700i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −28.5000 | + | 16.4545i | −1.51690 | + | 0.875784i | −0.517099 | + | 0.855926i | \(0.672988\pi\) |
−0.999803 | + | 0.0198582i | \(0.993679\pi\) | |||||||
\(354\) | 12.0000 | + | 20.7846i | 0.637793 | + | 1.10469i | ||||
\(355\) | 3.00000 | − | 5.19615i | 0.159223 | − | 0.275783i | ||||
\(356\) | − | 6.92820i | − | 0.367194i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 6.92820i | 0.365657i | 0.983145 | + | 0.182828i | \(0.0585252\pi\) | ||||
−0.983145 | + | 0.182828i | \(0.941475\pi\) | |||||||
\(360\) | 1.50000 | − | 2.59808i | 0.0790569 | − | 0.136931i | ||||
\(361\) | −3.50000 | − | 6.06218i | −0.184211 | − | 0.319062i | ||||
\(362\) | 16.5000 | − | 9.52628i | 0.867221 | − | 0.500690i | ||||
\(363\) | −22.0000 | −1.15470 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.00000 | 0.157027 | ||||||||
\(366\) | −3.00000 | + | 1.73205i | −0.156813 | + | 0.0905357i | ||||
\(367\) | −11.0000 | − | 19.0526i | −0.574195 | − | 0.994535i | −0.996129 | − | 0.0879086i | \(-0.971982\pi\) |
0.421933 | − | 0.906627i | \(-0.361352\pi\) | |||||||
\(368\) | −15.0000 | + | 25.9808i | −0.781929 | + | 1.35434i | ||||
\(369\) | 5.19615i | 0.270501i | ||||||||
\(370\) | 22.5000 | + | 12.9904i | 1.16972 | + | 0.675338i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 6.92820i | 0.359211i | ||||||||
\(373\) | −9.50000 | + | 16.4545i | −0.491891 | + | 0.851981i | −0.999956 | − | 0.00933789i | \(-0.997028\pi\) |
0.508065 | + | 0.861319i | \(0.330361\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 21.0000 | − | 12.1244i | 1.08444 | − | 0.626099i | ||||
\(376\) | −6.00000 | −0.309426 | ||||||||
\(377\) | −10.5000 | − | 2.59808i | −0.540778 | − | 0.133808i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −21.0000 | + | 12.1244i | −1.07870 | + | 0.622786i | −0.930545 | − | 0.366178i | \(-0.880666\pi\) |
−0.148153 | + | 0.988964i | \(0.547333\pi\) | |||||||
\(380\) | −3.00000 | − | 5.19615i | −0.153897 | − | 0.266557i | ||||
\(381\) | −2.00000 | + | 3.46410i | −0.102463 | + | 0.177471i | ||||
\(382\) | − | 31.1769i | − | 1.59515i | ||||||
\(383\) | 18.0000 | + | 10.3923i | 0.919757 | + | 0.531022i | 0.883558 | − | 0.468323i | \(-0.155141\pi\) |
0.0361995 | + | 0.999345i | \(0.488475\pi\) | |||||||
\(384\) | 21.0000 | + | 12.1244i | 1.07165 | + | 0.618718i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.50000 | − | 7.79423i | 0.229044 | − | 0.396716i | ||||
\(387\) | −4.00000 | − | 6.92820i | −0.203331 | − | 0.352180i | ||||
\(388\) | −6.00000 | + | 3.46410i | −0.304604 | + | 0.175863i | ||||
\(389\) | −9.00000 | −0.456318 | −0.228159 | − | 0.973624i | \(-0.573271\pi\) | ||||
−0.228159 | + | 0.973624i | \(0.573271\pi\) | |||||||
\(390\) | 6.00000 | + | 20.7846i | 0.303822 | + | 1.05247i | ||||
\(391\) | −18.0000 | −0.910299 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −18.0000 | − | 31.1769i | −0.907980 | − | 1.57267i | ||||
\(394\) | −12.0000 | + | 20.7846i | −0.604551 | + | 1.04711i | ||||
\(395\) | − | 6.92820i | − | 0.348596i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.0000 | + | 6.92820i | 0.602263 | + | 0.347717i | 0.769931 | − | 0.638127i | \(-0.220290\pi\) |
−0.167668 | + | 0.985843i | \(0.553624\pi\) | |||||||
\(398\) | − | 3.46410i | − | 0.173640i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 5.00000 | + | 8.66025i | 0.250000 | + | 0.433013i | ||||
\(401\) | −1.50000 | + | 0.866025i | −0.0749064 | + | 0.0432472i | −0.536985 | − | 0.843592i | \(-0.680437\pi\) |
0.462079 | + | 0.886839i | \(0.347104\pi\) | |||||||
\(402\) | −12.0000 | −0.598506 | ||||||||
\(403\) | 9.00000 | + | 8.66025i | 0.448322 | + | 0.431398i | ||||
\(404\) | −3.00000 | −0.149256 | ||||||||
\(405\) | 16.5000 | − | 9.52628i | 0.819892 | − | 0.473365i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 10.3923i | 0.514496i | ||||||||
\(409\) | −13.5000 | − | 7.79423i | −0.667532 | − | 0.385400i | 0.127609 | − | 0.991825i | \(-0.459270\pi\) |
−0.795141 | + | 0.606425i | \(0.792603\pi\) | |||||||
\(410\) | 13.5000 | + | 7.79423i | 0.666717 | + | 0.384930i | ||||
\(411\) | − | 31.1769i | − | 1.53784i | ||||||
\(412\) | 5.00000 | − | 8.66025i | 0.246332 | − | 0.426660i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 9.00000 | − | 5.19615i | 0.442326 | − | 0.255377i | ||||
\(415\) | 24.0000 | 1.17811 | ||||||||
\(416\) | −18.0000 | + | 5.19615i | −0.882523 | + | 0.254762i | ||||
\(417\) | −8.00000 | −0.391762 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 9.00000 | + | 15.5885i | 0.439679 | + | 0.761546i | 0.997665 | − | 0.0683046i | \(-0.0217590\pi\) |
−0.557986 | + | 0.829851i | \(0.688426\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 15.5885i | − | 0.759735i | −0.925041 | − | 0.379867i | \(-0.875970\pi\) | ||
0.925041 | − | 0.379867i | \(-0.124030\pi\) | |||||||
\(422\) | 15.0000 | + | 8.66025i | 0.730189 | + | 0.421575i | ||||
\(423\) | 3.00000 | + | 1.73205i | 0.145865 | + | 0.0842152i | ||||
\(424\) | 5.19615i | 0.252347i | ||||||||
\(425\) | −3.00000 | + | 5.19615i | −0.145521 | + | 0.252050i | ||||
\(426\) | −6.00000 | − | 10.3923i | −0.290701 | − | 0.503509i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −6.00000 | −0.290021 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −24.0000 | −1.15738 | ||||||||
\(431\) | −6.00000 | + | 3.46410i | −0.289010 | + | 0.166860i | −0.637495 | − | 0.770454i | \(-0.720029\pi\) |
0.348485 | + | 0.937314i | \(0.386696\pi\) | |||||||
\(432\) | 10.0000 | + | 17.3205i | 0.481125 | + | 0.833333i | ||||
\(433\) | −8.50000 | + | 14.7224i | −0.408484 | + | 0.707515i | −0.994720 | − | 0.102625i | \(-0.967276\pi\) |
0.586236 | + | 0.810140i | \(0.300609\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −9.00000 | − | 5.19615i | −0.431517 | − | 0.249136i | ||||
\(436\) | 12.0000 | + | 6.92820i | 0.574696 | + | 0.331801i | ||||
\(437\) | 20.7846i | 0.994263i | ||||||||
\(438\) | 3.00000 | − | 5.19615i | 0.143346 | − | 0.248282i | ||||
\(439\) | −14.0000 | − | 24.2487i | −0.668184 | − | 1.15733i | −0.978412 | − | 0.206666i | \(-0.933739\pi\) |
0.310228 | − | 0.950662i | \(-0.399595\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −13.5000 | − | 12.9904i | −0.642130 | − | 0.617889i | ||||
\(443\) | −12.0000 | −0.570137 | −0.285069 | − | 0.958507i | \(-0.592016\pi\) | ||||
−0.285069 | + | 0.958507i | \(0.592016\pi\) | |||||||
\(444\) | 15.0000 | − | 8.66025i | 0.711868 | − | 0.410997i | ||||
\(445\) | −6.00000 | − | 10.3923i | −0.284427 | − | 0.492642i | ||||
\(446\) | −9.00000 | + | 15.5885i | −0.426162 | + | 0.738135i | ||||
\(447\) | − | 38.1051i | − | 1.80231i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −6.00000 | − | 3.46410i | −0.283158 | − | 0.163481i | 0.351694 | − | 0.936115i | \(-0.385606\pi\) |
−0.634852 | + | 0.772634i | \(0.718939\pi\) | |||||||
\(450\) | − | 3.46410i | − | 0.163299i | ||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −7.50000 | − | 12.9904i | −0.352770 | − | 0.611016i | ||||
\(453\) | 30.0000 | − | 17.3205i | 1.40952 | − | 0.813788i | ||||
\(454\) | 42.0000 | 1.97116 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 12.0000 | 0.561951 | ||||||||
\(457\) | 1.50000 | − | 0.866025i | 0.0701670 | − | 0.0405110i | −0.464506 | − | 0.885570i | \(-0.653768\pi\) |
0.534673 | + | 0.845059i | \(0.320435\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −6.00000 | + | 10.3923i | −0.280056 | + | 0.485071i | ||||
\(460\) | − | 10.3923i | − | 0.484544i | ||||||
\(461\) | −19.5000 | − | 11.2583i | −0.908206 | − | 0.524353i | −0.0283522 | − | 0.999598i | \(-0.509026\pi\) |
−0.879853 | + | 0.475245i | \(0.842359\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 13.8564i | − | 0.643962i | −0.946746 | − | 0.321981i | \(-0.895651\pi\) | ||
0.946746 | − | 0.321981i | \(-0.104349\pi\) | |||||||
\(464\) | 7.50000 | − | 12.9904i | 0.348179 | − | 0.603063i | ||||
\(465\) | 6.00000 | + | 10.3923i | 0.278243 | + | 0.481932i | ||||
\(466\) | −9.00000 | + | 5.19615i | −0.416917 | + | 0.240707i | ||||
\(467\) | −12.0000 | −0.555294 | −0.277647 | − | 0.960683i | \(-0.589555\pi\) | ||||
−0.277647 | + | 0.960683i | \(0.589555\pi\) | |||||||
\(468\) | 3.50000 | + | 0.866025i | 0.161788 | + | 0.0400320i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 9.00000 | − | 5.19615i | 0.415139 | − | 0.239681i | ||||
\(471\) | 13.0000 | + | 22.5167i | 0.599008 | + | 1.03751i | ||||
\(472\) | −6.00000 | + | 10.3923i | −0.276172 | + | 0.478345i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −12.0000 | − | 6.92820i | −0.551178 | − | 0.318223i | ||||
\(475\) | 6.00000 | + | 3.46410i | 0.275299 | + | 0.158944i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.50000 | − | 2.59808i | 0.0686803 | − | 0.118958i | ||||
\(478\) | −18.0000 | − | 31.1769i | −0.823301 | − | 1.42600i | ||||
\(479\) | −21.0000 | + | 12.1244i | −0.959514 | + | 0.553976i | −0.896024 | − | 0.444006i | \(-0.853557\pi\) |
−0.0634909 | + | 0.997982i | \(0.520223\pi\) | |||||||
\(480\) | −18.0000 | −0.821584 | ||||||||
\(481\) | 7.50000 | − | 30.3109i | 0.341971 | − | 1.38206i | ||||
\(482\) | −3.00000 | −0.136646 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.50000 | + | 9.52628i | 0.250000 | + | 0.433013i | ||||
\(485\) | −6.00000 | + | 10.3923i | −0.272446 | + | 0.471890i | ||||
\(486\) | − | 17.3205i | − | 0.785674i | ||||||
\(487\) | −6.00000 | − | 3.46410i | −0.271886 | − | 0.156973i | 0.357858 | − | 0.933776i | \(-0.383507\pi\) |
−0.629744 | + | 0.776802i | \(0.716840\pi\) | |||||||
\(488\) | −1.50000 | − | 0.866025i | −0.0679018 | − | 0.0392031i | ||||
\(489\) | 41.5692i | 1.87983i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.00000 | − | 10.3923i | −0.270776 | − | 0.468998i | 0.698285 | − | 0.715820i | \(-0.253947\pi\) |
−0.969061 | + | 0.246822i | \(0.920614\pi\) | |||||||
\(492\) | 9.00000 | − | 5.19615i | 0.405751 | − | 0.234261i | ||||
\(493\) | 9.00000 | 0.405340 | ||||||||
\(494\) | −15.0000 | + | 15.5885i | −0.674882 | + | 0.701358i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −15.0000 | + | 8.66025i | −0.673520 | + | 0.388857i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 24.0000 | − | 41.5692i | 1.07547 | − | 1.86276i | ||||
\(499\) | − | 31.1769i | − | 1.39567i | −0.716258 | − | 0.697835i | \(-0.754147\pi\) | ||
0.716258 | − | 0.697835i | \(-0.245853\pi\) | |||||||
\(500\) | −10.5000 | − | 6.06218i | −0.469574 | − | 0.271109i | ||||
\(501\) | 24.0000 | + | 13.8564i | 1.07224 | + | 0.619059i | ||||
\(502\) | − | 31.1769i | − | 1.39149i | ||||||
\(503\) | 18.0000 | − | 31.1769i | 0.802580 | − | 1.39011i | −0.115332 | − | 0.993327i | \(-0.536793\pi\) |
0.917912 | − | 0.396783i | \(-0.129873\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.50000 | + | 2.59808i | −0.200247 | + | 0.115613i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 22.0000 | − | 13.8564i | 0.977054 | − | 0.615385i | ||||
\(508\) | 2.00000 | 0.0887357 | ||||||||
\(509\) | −16.5000 | + | 9.52628i | −0.731350 | + | 0.422245i | −0.818916 | − | 0.573914i | \(-0.805424\pi\) |
0.0875661 | + | 0.996159i | \(0.472091\pi\) | |||||||
\(510\) | −9.00000 | − | 15.5885i | −0.398527 | − | 0.690268i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 8.66025i | − | 0.382733i | ||||||
\(513\) | 12.0000 | + | 6.92820i | 0.529813 | + | 0.305888i | ||||
\(514\) | −4.50000 | − | 2.59808i | −0.198486 | − | 0.114596i | ||||
\(515\) | − | 17.3205i | − | 0.763233i | ||||||
\(516\) | −8.00000 | + | 13.8564i | −0.352180 | + | 0.609994i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 12.0000 | 0.526742 | ||||||||
\(520\) | −7.50000 | + | 7.79423i | −0.328897 | + | 0.341800i | ||||
\(521\) | −9.00000 | −0.394297 | −0.197149 | − | 0.980374i | \(-0.563168\pi\) | ||||
−0.197149 | + | 0.980374i | \(0.563168\pi\) | |||||||
\(522\) | −4.50000 | + | 2.59808i | −0.196960 | + | 0.113715i | ||||
\(523\) | −8.00000 | − | 13.8564i | −0.349816 | − | 0.605898i | 0.636401 | − | 0.771358i | \(-0.280422\pi\) |
−0.986216 | + | 0.165460i | \(0.947089\pi\) | |||||||
\(524\) | −9.00000 | + | 15.5885i | −0.393167 | + | 0.680985i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 18.0000 | + | 10.3923i | 0.784837 | + | 0.453126i | ||||
\(527\) | −9.00000 | − | 5.19615i | −0.392046 | − | 0.226348i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.50000 | + | 11.2583i | −0.282609 | + | 0.489493i | ||||
\(530\) | −4.50000 | − | 7.79423i | −0.195468 | − | 0.338560i | ||||
\(531\) | 6.00000 | − | 3.46410i | 0.260378 | − | 0.150329i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 4.50000 | − | 18.1865i | 0.194917 | − | 0.787746i | ||||
\(534\) | −24.0000 | −1.03858 | ||||||||
\(535\) | −9.00000 | + | 5.19615i | −0.389104 | + | 0.224649i | ||||
\(536\) | −3.00000 | − | 5.19615i | −0.129580 | − | 0.224440i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 10.3923i | − | 0.448044i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −6.00000 | − | 3.46410i | −0.258199 | − | 0.149071i | ||||
\(541\) | − | 29.4449i | − | 1.26593i | −0.774179 | − | 0.632967i | \(-0.781837\pi\) | ||
0.774179 | − | 0.632967i | \(-0.218163\pi\) | |||||||
\(542\) | 18.0000 | − | 31.1769i | 0.773166 | − | 1.33916i | ||||
\(543\) | −11.0000 | − | 19.0526i | −0.472055 | − | 0.817624i | ||||
\(544\) | 13.5000 | − | 7.79423i | 0.578808 | − | 0.334175i | ||||
\(545\) | 24.0000 | 1.02805 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −22.0000 | −0.940652 | −0.470326 | − | 0.882493i | \(-0.655864\pi\) | ||||
−0.470326 | + | 0.882493i | \(0.655864\pi\) | |||||||
\(548\) | −13.5000 | + | 7.79423i | −0.576691 | + | 0.332953i | ||||
\(549\) | 0.500000 | + | 0.866025i | 0.0213395 | + | 0.0369611i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 10.3923i | − | 0.442727i | ||||||
\(552\) | 18.0000 | + | 10.3923i | 0.766131 | + | 0.442326i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 12.1244i | 0.515115i | ||||||||
\(555\) | 15.0000 | − | 25.9808i | 0.636715 | − | 1.10282i | ||||
\(556\) | 2.00000 | + | 3.46410i | 0.0848189 | + | 0.146911i | ||||
\(557\) | −13.5000 | + | 7.79423i | −0.572013 | + | 0.330252i | −0.757953 | − | 0.652309i | \(-0.773800\pi\) |
0.185940 | + | 0.982561i | \(0.440467\pi\) | |||||||
\(558\) | 6.00000 | 0.254000 | ||||||||
\(559\) | 8.00000 | + | 27.7128i | 0.338364 | + | 1.17213i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −19.5000 | − | 33.7750i | −0.822558 | − | 1.42471i | ||||
\(563\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(564\) | − | 6.92820i | − | 0.291730i | ||||||
\(565\) | −22.5000 | − | 12.9904i | −0.946582 | − | 0.546509i | ||||
\(566\) | −6.00000 | − | 3.46410i | −0.252199 | − | 0.145607i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.00000 | − | 5.19615i | 0.125877 | − | 0.218026i | ||||
\(569\) | 21.0000 | + | 36.3731i | 0.880366 | + | 1.52484i | 0.850935 | + | 0.525271i | \(0.176036\pi\) |
0.0294311 | + | 0.999567i | \(0.490630\pi\) | |||||||
\(570\) | −18.0000 | + | 10.3923i | −0.753937 | + | 0.435286i | ||||
\(571\) | 40.0000 | 1.67395 | 0.836974 | − | 0.547243i | \(-0.184323\pi\) | ||||
0.836974 | + | 0.547243i | \(0.184323\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −36.0000 | −1.50392 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 6.00000 | + | 10.3923i | 0.250217 | + | 0.433389i | ||||
\(576\) | 0.500000 | − | 0.866025i | 0.0208333 | − | 0.0360844i | ||||
\(577\) | − | 19.0526i | − | 0.793168i | −0.917998 | − | 0.396584i | \(-0.870195\pi\) | ||
0.917998 | − | 0.396584i | \(-0.129805\pi\) | |||||||
\(578\) | −12.0000 | − | 6.92820i | −0.499134 | − | 0.288175i | ||||
\(579\) | −9.00000 | − | 5.19615i | −0.374027 | − | 0.215945i | ||||
\(580\) | 5.19615i | 0.215758i | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 12.0000 | + | 20.7846i | 0.497416 | + | 0.861550i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 3.00000 | 0.124141 | ||||||||
\(585\) | 6.00000 | − | 1.73205i | 0.248069 | − | 0.0716115i | ||||
\(586\) | 9.00000 | 0.371787 | ||||||||
\(587\) | 18.0000 | − | 10.3923i | 0.742940 | − | 0.428936i | −0.0801976 | − | 0.996779i | \(-0.525555\pi\) |
0.823137 | + | 0.567843i | \(0.192222\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.00000 | + | 10.3923i | −0.247226 | + | 0.428207i | ||||
\(590\) | − | 20.7846i | − | 0.855689i | ||||||
\(591\) | 24.0000 | + | 13.8564i | 0.987228 | + | 0.569976i | ||||
\(592\) | 37.5000 | + | 21.6506i | 1.54124 | + | 0.889836i | ||||
\(593\) | − | 25.9808i | − | 1.06690i | −0.845831 | − | 0.533451i | \(-0.820895\pi\) | ||
0.845831 | − | 0.533451i | \(-0.179105\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −16.5000 | + | 9.52628i | −0.675866 | + | 0.390212i | ||||
\(597\) | −4.00000 | −0.163709 | ||||||||
\(598\) | −36.0000 | + | 10.3923i | −1.47215 | + | 0.424973i | ||||
\(599\) | 30.0000 | 1.22577 | 0.612883 | − | 0.790173i | \(-0.290010\pi\) | ||||
0.612883 | + | 0.790173i | \(0.290010\pi\) | |||||||
\(600\) | 6.00000 | − | 3.46410i | 0.244949 | − | 0.141421i | ||||
\(601\) | 12.5000 | + | 21.6506i | 0.509886 | + | 0.883148i | 0.999934 | + | 0.0114528i | \(0.00364562\pi\) |
−0.490049 | + | 0.871695i | \(0.663021\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.46410i | 0.141069i | ||||||||
\(604\) | −15.0000 | − | 8.66025i | −0.610341 | − | 0.352381i | ||||
\(605\) | 16.5000 | + | 9.52628i | 0.670820 | + | 0.387298i | ||||
\(606\) | 10.3923i | 0.422159i | ||||||||
\(607\) | −17.0000 | + | 29.4449i | −0.690009 | + | 1.19513i | 0.281826 | + | 0.959466i | \(0.409060\pi\) |
−0.971834 | + | 0.235665i | \(0.924273\pi\) | |||||||
\(608\) | −9.00000 | − | 15.5885i | −0.364998 | − | 0.632195i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.00000 | 0.121466 | ||||||||
\(611\) | −9.00000 | − | 8.66025i | −0.364101 | − | 0.350356i | ||||
\(612\) | −3.00000 | −0.121268 | ||||||||
\(613\) | −10.5000 | + | 6.06218i | −0.424091 | + | 0.244849i | −0.696826 | − | 0.717240i | \(-0.745405\pi\) |
0.272735 | + | 0.962089i | \(0.412072\pi\) | |||||||
\(614\) | 15.0000 | + | 25.9808i | 0.605351 | + | 1.04850i | ||||
\(615\) | 9.00000 | − | 15.5885i | 0.362915 | − | 0.628587i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −19.5000 | − | 11.2583i | −0.785040 | − | 0.453243i | 0.0531732 | − | 0.998585i | \(-0.483066\pi\) |
−0.838214 | + | 0.545342i | \(0.816400\pi\) | |||||||
\(618\) | −30.0000 | − | 17.3205i | −1.20678 | − | 0.696733i | ||||
\(619\) | − | 20.7846i | − | 0.835404i | −0.908584 | − | 0.417702i | \(-0.862836\pi\) | ||
0.908584 | − | 0.417702i | \(-0.137164\pi\) | |||||||
\(620\) | 3.00000 | − | 5.19615i | 0.120483 | − | 0.208683i | ||||
\(621\) | 12.0000 | + | 20.7846i | 0.481543 | + | 0.834058i | ||||
\(622\) | −45.0000 | + | 25.9808i | −1.80434 | + | 1.04173i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 10.0000 | + | 34.6410i | 0.400320 | + | 1.38675i | ||||
\(625\) | −11.0000 | −0.440000 | ||||||||
\(626\) | 15.0000 | − | 8.66025i | 0.599521 | − | 0.346133i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.50000 | − | 11.2583i | 0.259378 | − | 0.449256i | ||||
\(629\) | 25.9808i | 1.03592i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −42.0000 | − | 24.2487i | −1.67199 | − | 0.965326i | −0.966521 | − | 0.256589i | \(-0.917401\pi\) |
−0.705473 | − | 0.708737i | \(-0.749265\pi\) | |||||||
\(632\) | − | 6.92820i | − | 0.275589i | ||||||
\(633\) | 10.0000 | − | 17.3205i | 0.397464 | − | 0.688428i | ||||
\(634\) | −4.50000 | − | 7.79423i | −0.178718 | − | 0.309548i | ||||
\(635\) | 3.00000 | − | 1.73205i | 0.119051 | − | 0.0687343i | ||||
\(636\) | −6.00000 | −0.237915 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −3.00000 | + | 1.73205i | −0.118678 | + | 0.0685189i | ||||
\(640\) | −10.5000 | − | 18.1865i | −0.415049 | − | 0.718886i | ||||
\(641\) | −16.5000 | + | 28.5788i | −0.651711 | + | 1.12880i | 0.330997 | + | 0.943632i | \(0.392615\pi\) |
−0.982708 | + | 0.185164i | \(0.940718\pi\) | |||||||
\(642\) | 20.7846i | 0.820303i | ||||||||
\(643\) | −12.0000 | − | 6.92820i | −0.473234 | − | 0.273222i | 0.244359 | − | 0.969685i | \(-0.421423\pi\) |
−0.717592 | + | 0.696463i | \(0.754756\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 27.7128i | 1.09119i | ||||||||
\(646\) | 9.00000 | − | 15.5885i | 0.354100 | − | 0.613320i | ||||
\(647\) | 9.00000 | + | 15.5885i | 0.353827 | + | 0.612845i | 0.986916 | − | 0.161233i | \(-0.0515470\pi\) |
−0.633090 | + | 0.774078i | \(0.718214\pi\) | |||||||
\(648\) | 16.5000 | − | 9.52628i | 0.648181 | − | 0.374228i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −3.00000 | + | 12.1244i | −0.117670 | + | 0.475556i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 18.0000 | − | 10.3923i | 0.704934 | − | 0.406994i | ||||
\(653\) | 15.0000 | + | 25.9808i | 0.586995 | + | 1.01671i | 0.994623 | + | 0.103558i | \(0.0330227\pi\) |
−0.407628 | + | 0.913148i | \(0.633644\pi\) | |||||||
\(654\) | 24.0000 | − | 41.5692i | 0.938474 | − | 1.62549i | ||||
\(655\) | 31.1769i | 1.21818i | ||||||||
\(656\) | 22.5000 | + | 12.9904i | 0.878477 | + | 0.507189i | ||||
\(657\) | −1.50000 | − | 0.866025i | −0.0585206 | − | 0.0337869i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 6.00000 | − | 10.3923i | 0.233727 | − | 0.404827i | −0.725175 | − | 0.688565i | \(-0.758241\pi\) |
0.958902 | + | 0.283738i | \(0.0915745\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 40.5000 | − | 23.3827i | 1.57527 | − | 0.909481i | 0.579761 | − | 0.814787i | \(-0.303146\pi\) |
0.995506 | − | 0.0946945i | \(-0.0301874\pi\) | |||||||
\(662\) | 48.0000 | 1.86557 | ||||||||
\(663\) | −15.0000 | + | 15.5885i | −0.582552 | + | 0.605406i | ||||
\(664\) | 24.0000 | 0.931381 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −7.50000 | − | 12.9904i | −0.290619 | − | 0.503367i | ||||
\(667\) | 9.00000 | − | 15.5885i | 0.348481 | − | 0.603587i | ||||
\(668\) | − | 13.8564i | − | 0.536120i | ||||||
\(669\) | 18.0000 | + | 10.3923i | 0.695920 | + | 0.401790i | ||||
\(670\) | 9.00000 | + | 5.19615i | 0.347700 | + | 0.200745i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.50000 | + | 16.4545i | 0.366198 | + | 0.634274i | 0.988968 | − | 0.148132i | \(-0.0473259\pi\) |
−0.622770 | + | 0.782405i | \(0.713993\pi\) | |||||||
\(674\) | 34.5000 | − | 19.9186i | 1.32889 | − | 0.767235i | ||||
\(675\) | 8.00000 | 0.307920 | ||||||||
\(676\) | −11.5000 | − | 6.06218i | −0.442308 | − | 0.233161i | ||||
\(677\) | 6.00000 | 0.230599 | 0.115299 | − | 0.993331i | \(-0.463217\pi\) | ||||
0.115299 | + | 0.993331i | \(0.463217\pi\) | |||||||
\(678\) | −45.0000 | + | 25.9808i | −1.72821 | + | 0.997785i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 4.50000 | − | 7.79423i | 0.172567 | − | 0.298895i | ||||
\(681\) | − | 48.4974i | − | 1.85843i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 21.0000 | + | 12.1244i | 0.803543 | + | 0.463926i | 0.844708 | − | 0.535227i | \(-0.179774\pi\) |
−0.0411658 | + | 0.999152i | \(0.513107\pi\) | |||||||
\(684\) | 3.46410i | 0.132453i | ||||||||
\(685\) | −13.5000 | + | 23.3827i | −0.515808 | + | 0.893407i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −40.0000 | −1.52499 | ||||||||
\(689\) | −7.50000 | + | 7.79423i | −0.285727 | + | 0.296936i | ||||
\(690\) | −36.0000 | −1.37050 | ||||||||
\(691\) | −12.0000 | + | 6.92820i | −0.456502 | + | 0.263561i | −0.710572 | − | 0.703624i | \(-0.751564\pi\) |
0.254071 | + | 0.967186i | \(0.418230\pi\) | |||||||
\(692\) | −3.00000 | − | 5.19615i | −0.114043 | − | 0.197528i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 51.9615i | 1.97243i | ||||||||
\(695\) | 6.00000 | + | 3.46410i | 0.227593 | + | 0.131401i | ||||
\(696\) | −9.00000 | − | 5.19615i | −0.341144 | − | 0.196960i | ||||
\(697\) | 15.5885i | 0.590455i | ||||||||
\(698\) | 12.0000 | − | 20.7846i | 0.454207 | − | 0.786709i | ||||
\(699\) | 6.00000 | + | 10.3923i | 0.226941 | + | 0.393073i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 18.0000 | 0.679851 | 0.339925 | − | 0.940452i | \(-0.389598\pi\) | ||||
0.339925 | + | 0.940452i | \(0.389598\pi\) | |||||||
\(702\) | −6.00000 | + | 24.2487i | −0.226455 | + | 0.915209i | ||||
\(703\) | 30.0000 | 1.13147 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −6.00000 | − | 10.3923i | −0.225973 | − | 0.391397i | ||||
\(706\) | 28.5000 | − | 49.3634i | 1.07261 | − | 1.85782i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −12.0000 | − | 6.92820i | −0.450988 | − | 0.260378i | ||||
\(709\) | −4.50000 | − | 2.59808i | −0.169001 | − | 0.0975728i | 0.413114 | − | 0.910679i | \(-0.364441\pi\) |
−0.582115 | + | 0.813107i | \(0.697775\pi\) | |||||||
\(710\) | 10.3923i | 0.390016i | ||||||||
\(711\) | −2.00000 | + | 3.46410i | −0.0750059 | + | 0.129914i | ||||
\(712\) | −6.00000 | − | 10.3923i | −0.224860 | − | 0.389468i | ||||
\(713\) | −18.0000 | + | 10.3923i | −0.674105 | + | 0.389195i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −36.0000 | + | 20.7846i | −1.34444 | + | 0.776215i | ||||
\(718\) | −6.00000 | − | 10.3923i | −0.223918 | − | 0.387837i | ||||
\(719\) | −24.0000 | + | 41.5692i | −0.895049 | + | 1.55027i | −0.0613050 | + | 0.998119i | \(0.519526\pi\) |
−0.833744 | + | 0.552151i | \(0.813807\pi\) | |||||||
\(720\) | 8.66025i | 0.322749i | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 10.5000 | + | 6.06218i | 0.390770 | + | 0.225611i | ||||
\(723\) | 3.46410i | 0.128831i | ||||||||
\(724\) | −5.50000 | + | 9.52628i | −0.204406 | + | 0.354041i | ||||
\(725\) | −3.00000 | − | 5.19615i | −0.111417 | − | 0.192980i | ||||
\(726\) | 33.0000 | − | 19.0526i | 1.22474 | − | 0.707107i | ||||
\(727\) | 32.0000 | 1.18681 | 0.593407 | − | 0.804902i | \(-0.297782\pi\) | ||||
0.593407 | + | 0.804902i | \(0.297782\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.0000 | 0.481481 | ||||||||
\(730\) | −4.50000 | + | 2.59808i | −0.166552 | + | 0.0961591i | ||||
\(731\) | −12.0000 | − | 20.7846i | −0.443836 | − | 0.768747i | ||||
\(732\) | 1.00000 | − | 1.73205i | 0.0369611 | − | 0.0640184i | ||||
\(733\) | 12.1244i | 0.447823i | 0.974609 | + | 0.223912i | \(0.0718827\pi\) | ||||
−0.974609 | + | 0.223912i | \(0.928117\pi\) | |||||||
\(734\) | 33.0000 | + | 19.0526i | 1.21805 | + | 0.703243i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 31.1769i | − | 1.14920i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −4.50000 | − | 7.79423i | −0.165647 | − | 0.286910i | ||||
\(739\) | −18.0000 | + | 10.3923i | −0.662141 | + | 0.382287i | −0.793092 | − | 0.609102i | \(-0.791530\pi\) |
0.130951 | + | 0.991389i | \(0.458197\pi\) | |||||||
\(740\) | −15.0000 | −0.551411 | ||||||||
\(741\) | 18.0000 | + | 17.3205i | 0.661247 | + | 0.636285i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −30.0000 | + | 17.3205i | −1.10059 | + | 0.635428i | −0.936377 | − | 0.350997i | \(-0.885843\pi\) |
−0.164216 | + | 0.986424i | \(0.552510\pi\) | |||||||
\(744\) | 6.00000 | + | 10.3923i | 0.219971 | + | 0.381000i | ||||
\(745\) | −16.5000 | + | 28.5788i | −0.604513 | + | 1.04705i | ||||
\(746\) | − | 32.9090i | − | 1.20488i | ||||||
\(747\) | −12.0000 | − | 6.92820i | −0.439057 | − | 0.253490i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −21.0000 | + | 36.3731i | −0.766812 | + | 1.32816i | ||||
\(751\) | 8.00000 | + | 13.8564i | 0.291924 | + | 0.505627i | 0.974265 | − | 0.225407i | \(-0.0723712\pi\) |
−0.682341 | + | 0.731034i | \(0.739038\pi\) | |||||||
\(752\) | 15.0000 | − | 8.66025i | 0.546994 | − | 0.315807i | ||||
\(753\) | −36.0000 | −1.31191 | ||||||||
\(754\) | 18.0000 | − | 5.19615i | 0.655521 | − | 0.189233i | ||||
\(755\) | −30.0000 | −1.09181 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 13.0000 | + | 22.5167i | 0.472493 | + | 0.818382i | 0.999505 | − | 0.0314762i | \(-0.0100208\pi\) |
−0.527011 | + | 0.849858i | \(0.676688\pi\) | |||||||
\(758\) | 21.0000 | − | 36.3731i | 0.762754 | − | 1.32113i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −9.00000 | − | 5.19615i | −0.326464 | − | 0.188484i | ||||
\(761\) | −30.0000 | − | 17.3205i | −1.08750 | − | 0.627868i | −0.154590 | − | 0.987979i | \(-0.549406\pi\) |
−0.932910 | + | 0.360111i | \(0.882739\pi\) | |||||||
\(762\) | − | 6.92820i | − | 0.250982i | ||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 9.00000 | + | 15.5885i | 0.325609 | + | 0.563971i | ||||
\(765\) | −4.50000 | + | 2.59808i | −0.162698 | + | 0.0939336i | ||||
\(766\) | −36.0000 | −1.30073 | ||||||||
\(767\) | −24.0000 | + | 6.92820i | −0.866590 | + | 0.250163i | ||||
\(768\) | −38.0000 | −1.37121 | ||||||||
\(769\) | −6.00000 | + | 3.46410i | −0.216366 | + | 0.124919i | −0.604266 | − | 0.796782i | \(-0.706534\pi\) |
0.387901 | + | 0.921701i | \(0.373200\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3.00000 | + | 5.19615i | −0.108042 | + | 0.187135i | ||||
\(772\) | 5.19615i | 0.187014i | ||||||||
\(773\) | 30.0000 | + | 17.3205i | 1.07903 | + | 0.622975i | 0.930633 | − | 0.365953i | \(-0.119257\pi\) |
0.148392 | + | 0.988929i | \(0.452590\pi\) | |||||||
\(774\) | 12.0000 | + | 6.92820i | 0.431331 | + | 0.249029i | ||||
\(775\) | 6.92820i | 0.248868i | ||||||||
\(776\) | −6.00000 | + | 10.3923i | −0.215387 | + | 0.373062i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 13.5000 | − | 7.79423i | 0.483998 | − | 0.279437i | ||||
\(779\) | 18.0000 | 0.644917 | ||||||||
\(780\) | −9.00000 | − | 8.66025i | −0.322252 | − | 0.310087i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 27.0000 | − | 15.5885i | 0.965518 | − | 0.557442i | ||||
\(783\) | −6.00000 | − | 10.3923i | −0.214423 | − | 0.371391i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | − | 22.5167i | − | 0.803654i | ||||||
\(786\) | 54.0000 | + | 31.1769i | 1.92612 | + | 1.11204i | ||||
\(787\) | −33.0000 | − | 19.0526i | −1.17632 | − | 0.679150i | −0.221162 | − | 0.975237i | \(-0.570985\pi\) |
−0.955161 | + | 0.296087i | \(0.904318\pi\) | |||||||
\(788\) | − | 13.8564i | − | 0.493614i | ||||||
\(789\) | 12.0000 | − | 20.7846i | 0.427211 | − | 0.739952i | ||||
\(790\) | 6.00000 | + | 10.3923i | 0.213470 | + | 0.369742i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.00000 | − | 3.46410i | −0.0355110 | − | 0.123014i | ||||
\(794\) | −24.0000 | −0.851728 | ||||||||
\(795\) | −9.00000 | + | 5.19615i | −0.319197 | + | 0.184289i | ||||
\(796\) | 1.00000 | + | 1.73205i | 0.0354441 | + | 0.0613909i | ||||
\(797\) | 21.0000 | − | 36.3731i | 0.743858 | − | 1.28840i | −0.206868 | − | 0.978369i | \(-0.566327\pi\) |
0.950726 | − | 0.310031i | \(-0.100340\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.00000 | + | 5.19615i | 0.318397 | + | 0.183827i | ||||
\(800\) | −9.00000 | − | 5.19615i | −0.318198 | − | 0.183712i | ||||
\(801\) | 6.92820i | 0.244796i | ||||||||
\(802\) | 1.50000 | − | 2.59808i | 0.0529668 | − | 0.0917413i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 6.00000 | − | 3.46410i | 0.211604 | − | 0.122169i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −21.0000 | − | 5.19615i | −0.739693 | − | 0.183027i | ||||
\(807\) | −12.0000 | −0.422420 | ||||||||
\(808\) | −4.50000 | + | 2.59808i | −0.158309 | + | 0.0914000i | ||||
\(809\) | −16.5000 | − | 28.5788i | −0.580109 | − | 1.00478i | −0.995466 | − | 0.0951198i | \(-0.969677\pi\) |
0.415357 | − | 0.909659i | \(-0.363657\pi\) | |||||||
\(810\) | −16.5000 | + | 28.5788i | −0.579751 | + | 1.00416i | ||||
\(811\) | − | 38.1051i | − | 1.33805i | −0.743239 | − | 0.669026i | \(-0.766712\pi\) | ||
0.743239 | − | 0.669026i | \(-0.233288\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −36.0000 | − | 20.7846i | −1.26258 | − | 0.728948i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 18.0000 | − | 31.1769i | 0.630512 | − | 1.09208i | ||||
\(816\) | −15.0000 | − | 25.9808i | −0.525105 | − | 0.909509i | ||||
\(817\) | −24.0000 | + | 13.8564i | −0.839654 | + | 0.484774i | ||||
\(818\) | 27.0000 | 0.944033 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −9.00000 | −0.314294 | ||||||||
\(821\) | −36.0000 | + | 20.7846i | −1.25641 | + | 0.725388i | −0.972375 | − | 0.233426i | \(-0.925006\pi\) |
−0.284034 | + | 0.958814i | \(0.591673\pi\) | |||||||
\(822\) | 27.0000 | + | 46.7654i | 0.941733 | + | 1.63113i | ||||
\(823\) | 2.00000 | − | 3.46410i | 0.0697156 | − | 0.120751i | −0.829060 | − | 0.559159i | \(-0.811124\pi\) |
0.898776 | + | 0.438408i | \(0.144457\pi\) | |||||||
\(824\) | − | 17.3205i | − | 0.603388i | ||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 20.7846i | − | 0.722752i | −0.932420 | − | 0.361376i | \(-0.882307\pi\) | ||
0.932420 | − | 0.361376i | \(-0.117693\pi\) | |||||||
\(828\) | −3.00000 | + | 5.19615i | −0.104257 | + | 0.180579i | ||||
\(829\) | 12.5000 | + | 21.6506i | 0.434143 | + | 0.751958i | 0.997225 | − | 0.0744432i | \(-0.0237179\pi\) |
−0.563082 | + | 0.826401i | \(0.690385\pi\) | |||||||
\(830\) | −36.0000 | + | 20.7846i | −1.24958 | + | 0.721444i | ||||
\(831\) | 14.0000 | 0.485655 | ||||||||
\(832\) | −2.50000 | + | 2.59808i | −0.0866719 | + | 0.0900721i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 12.0000 | − | 6.92820i | 0.415526 | − | 0.239904i | ||||
\(835\) | −12.0000 | − | 20.7846i | −0.415277 | − | 0.719281i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 13.8564i | 0.478947i | ||||||||
\(838\) | −27.0000 | − | 15.5885i | −0.932700 | − | 0.538494i | ||||
\(839\) | −39.0000 | − | 22.5167i | −1.34643 | − | 0.777361i | −0.358688 | − | 0.933458i | \(-0.616776\pi\) |
−0.987742 | + | 0.156096i | \(0.950109\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.0000 | − | 17.3205i | 0.344828 | − | 0.597259i | ||||
\(842\) | 13.5000 | + | 23.3827i | 0.465241 | + | 0.805821i | ||||
\(843\) | −39.0000 | + | 22.5167i | −1.34323 | + | 0.775515i | ||||
\(844\) | −10.0000 | −0.344214 | ||||||||
\(845\) | −22.5000 | + | 0.866025i | −0.774024 | + | 0.0297922i | ||||
\(846\) | −6.00000 | −0.206284 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −7.50000 | − | 12.9904i | −0.257551 | − | 0.446092i | ||||
\(849\) | −4.00000 | + | 6.92820i | −0.137280 | + | 0.237775i | ||||
\(850\) | − | 10.3923i | − | 0.356453i | ||||||
\(851\) | 45.0000 | + | 25.9808i | 1.54258 | + | 0.890609i | ||||
\(852\) | 6.00000 | + | 3.46410i | 0.205557 | + | 0.118678i | ||||
\(853\) | 25.9808i | 0.889564i | 0.895639 | + | 0.444782i | \(0.146719\pi\) | ||||
−0.895639 | + | 0.444782i | \(0.853281\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 3.00000 | + | 5.19615i | 0.102598 | + | 0.177705i | ||||
\(856\) | −9.00000 | + | 5.19615i | −0.307614 | + | 0.177601i | ||||
\(857\) | −3.00000 | −0.102478 | −0.0512390 | − | 0.998686i | \(-0.516317\pi\) | ||||
−0.0512390 | + | 0.998686i | \(0.516317\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 14.0000 | 0.477674 | 0.238837 | − | 0.971060i | \(-0.423234\pi\) | ||||
0.238837 | + | 0.971060i | \(0.423234\pi\) | |||||||
\(860\) | 12.0000 | − | 6.92820i | 0.409197 | − | 0.236250i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.00000 | − | 10.3923i | 0.204361 | − | 0.353963i | ||||
\(863\) | 27.7128i | 0.943355i | 0.881771 | + | 0.471678i | \(0.156351\pi\) | ||||
−0.881771 | + | 0.471678i | \(0.843649\pi\) | |||||||
\(864\) | −18.0000 | − | 10.3923i | −0.612372 | − | 0.353553i | ||||
\(865\) | −9.00000 | − | 5.19615i | −0.306009 | − | 0.176674i | ||||
\(866\) | − | 29.4449i | − | 1.00058i | ||||||
\(867\) | −8.00000 | + | 13.8564i | −0.271694 | + | 0.470588i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 18.0000 | 0.610257 | ||||||||
\(871\) | 3.00000 | − | 12.1244i | 0.101651 | − | 0.410818i | ||||
\(872\) | 24.0000 | 0.812743 | ||||||||
\(873\) | 6.00000 | − | 3.46410i | 0.203069 | − | 0.117242i | ||||
\(874\) | −18.0000 | − | 31.1769i | −0.608859 | − | 1.05457i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 3.46410i | 0.117041i | ||||||||
\(877\) | 10.5000 | + | 6.06218i | 0.354560 | + | 0.204705i | 0.666692 | − | 0.745334i | \(-0.267710\pi\) |
−0.312132 | + | 0.950039i | \(0.601043\pi\) | |||||||
\(878\) | 42.0000 | + | 24.2487i | 1.41743 | + | 0.818354i | ||||
\(879\) | − | 10.3923i | − | 0.350524i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 13.5000 | + | 23.3827i | 0.454827 | + | 0.787783i | 0.998678 | − | 0.0513987i | \(-0.0163679\pi\) |
−0.543852 | + | 0.839181i | \(0.683035\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 10.0000 | 0.336527 | 0.168263 | − | 0.985742i | \(-0.446184\pi\) | ||||
0.168263 | + | 0.985742i | \(0.446184\pi\) | |||||||
\(884\) | 10.5000 | + | 2.59808i | 0.353153 | + | 0.0873828i | ||||
\(885\) | −24.0000 | −0.806751 | ||||||||
\(886\) | 18.0000 | − | 10.3923i | 0.604722 | − | 0.349136i | ||||
\(887\) | 18.0000 | + | 31.1769i | 0.604381 | + | 1.04682i | 0.992149 | + | 0.125061i | \(0.0399128\pi\) |
−0.387768 | + | 0.921757i | \(0.626754\pi\) | |||||||
\(888\) | 15.0000 | − | 25.9808i | 0.503367 | − | 0.871857i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 18.0000 | + | 10.3923i | 0.603361 | + | 0.348351i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 10.3923i | − | 0.347960i | ||||||
\(893\) | 6.00000 | − | 10.3923i | 0.200782 | − | 0.347765i | ||||
\(894\) | 33.0000 | + | 57.1577i | 1.10369 | + | 1.91164i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 12.0000 | + | 41.5692i | 0.400668 | + | 1.38796i | ||||
\(898\) | 12.0000 | 0.400445 | ||||||||
\(899\) | 9.00000 | − | 5.19615i | 0.300167 | − | 0.173301i | ||||
\(900\) | 1.00000 | + | 1.73205i | 0.0333333 | + | 0.0577350i | ||||
\(901\) | 4.50000 | − | 7.79423i | 0.149917 | − | 0.259663i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −22.5000 | − | 12.9904i | −0.748339 | − | 0.432054i | ||||
\(905\) | 19.0526i | 0.633328i | ||||||||
\(906\) | −30.0000 | + | 51.9615i | −0.996683 | + | 1.72631i | ||||
\(907\) | −14.0000 | − | 24.2487i | −0.464862 | − | 0.805165i | 0.534333 | − | 0.845274i | \(-0.320563\pi\) |
−0.999195 | + | 0.0401089i | \(0.987230\pi\) | |||||||
\(908\) | −21.0000 | + | 12.1244i | −0.696909 | + | 0.402361i | ||||
\(909\) | 3.00000 | 0.0995037 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(912\) | −30.0000 | + | 17.3205i | −0.993399 | + | 0.573539i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −1.50000 | + | 2.59808i | −0.0496156 | + | 0.0859367i | ||||
\(915\) | − | 3.46410i | − | 0.114520i | ||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | − | 20.7846i | − | 0.685994i | ||||||
\(919\) | −11.0000 | + | 19.0526i | −0.362857 | + | 0.628486i | −0.988430 | − | 0.151680i | \(-0.951532\pi\) |
0.625573 | + | 0.780165i | \(0.284865\pi\) | |||||||
\(920\) | −9.00000 | − | 15.5885i | −0.296721 | − | 0.513936i | ||||
\(921\) | 30.0000 | − | 17.3205i | 0.988534 | − | 0.570730i | ||||
\(922\) | 39.0000 | 1.28440 | ||||||||
\(923\) | 12.0000 | − | 3.46410i | 0.394985 | − | 0.114022i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 15.0000 | − | 8.66025i | 0.493197 | − | 0.284747i | ||||
\(926\) | 12.0000 | + | 20.7846i | 0.394344 | + | 0.683025i | ||||
\(927\) | −5.00000 | + | 8.66025i | −0.164222 | + | 0.284440i | ||||
\(928\) | 15.5885i | 0.511716i | ||||||||
\(929\) | 40.5000 | + | 23.3827i | 1.32876 | + | 0.767161i | 0.985108 | − | 0.171935i | \(-0.0550020\pi\) |
0.343654 | + | 0.939096i | \(0.388335\pi\) | |||||||
\(930\) | −18.0000 | − | 10.3923i | −0.590243 | − | 0.340777i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.00000 | − | 5.19615i | 0.0982683 | − | 0.170206i | ||||
\(933\) | 30.0000 | + | 51.9615i | 0.982156 | + | 1.70114i | ||||
\(934\) | 18.0000 | − | 10.3923i | 0.588978 | − | 0.340047i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 6.00000 | − | 1.73205i | 0.196116 | − | 0.0566139i | ||||
\(937\) | −7.00000 | −0.228680 | −0.114340 | − | 0.993442i | \(-0.536475\pi\) | ||||
−0.114340 | + | 0.993442i | \(0.536475\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −10.0000 | − | 17.3205i | −0.326338 | − | 0.565233i | ||||
\(940\) | −3.00000 | + | 5.19615i | −0.0978492 | + | 0.169480i | ||||
\(941\) | 20.7846i | 0.677559i | 0.940866 | + | 0.338779i | \(0.110014\pi\) | ||||
−0.940866 | + | 0.338779i | \(0.889986\pi\) | |||||||
\(942\) | −39.0000 | − | 22.5167i | −1.27069 | − | 0.733632i | ||||
\(943\) | 27.0000 | + | 15.5885i | 0.879241 | + | 0.507630i | ||||
\(944\) | − | 34.6410i | − | 1.12747i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −15.0000 | + | 8.66025i | −0.487435 | + | 0.281420i | −0.723510 | − | 0.690314i | \(-0.757472\pi\) |
0.236075 | + | 0.971735i | \(0.424139\pi\) | |||||||
\(948\) | 8.00000 | 0.259828 | ||||||||
\(949\) | 4.50000 | + | 4.33013i | 0.146076 | + | 0.140562i | ||||
\(950\) | −12.0000 | −0.389331 | ||||||||
\(951\) | −9.00000 | + | 5.19615i | −0.291845 | + | 0.168497i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 3.00000 | − | 5.19615i | 0.0971795 | − | 0.168320i | −0.813337 | − | 0.581793i | \(-0.802351\pi\) |
0.910516 | + | 0.413473i | \(0.135685\pi\) | |||||||
\(954\) | 5.19615i | 0.168232i | ||||||||
\(955\) | 27.0000 | + | 15.5885i | 0.873699 | + | 0.504431i | ||||
\(956\) | 18.0000 | + | 10.3923i | 0.582162 | + | 0.336111i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 21.0000 | − | 36.3731i | 0.678479 | − | 1.17516i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −3.00000 | + | 1.73205i | −0.0968246 | + | 0.0559017i | ||||
\(961\) | 19.0000 | 0.612903 | ||||||||
\(962\) | 15.0000 | + | 51.9615i | 0.483619 | + | 1.67531i | ||||
\(963\) | 6.00000 | 0.193347 | ||||||||
\(964\) | 1.50000 | − | 0.866025i | 0.0483117 | − | 0.0278928i | ||||
\(965\) | 4.50000 | + | 7.79423i | 0.144860 | + | 0.250905i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 58.8897i | − | 1.89377i | −0.321578 | − | 0.946883i | \(-0.604213\pi\) | ||
0.321578 | − | 0.946883i | \(-0.395787\pi\) | |||||||
\(968\) | 16.5000 | + | 9.52628i | 0.530330 | + | 0.306186i | ||||
\(969\) | −18.0000 | − | 10.3923i | −0.578243 | − | 0.333849i | ||||
\(970\) | − | 20.7846i | − | 0.667354i | ||||||
\(971\) | 3.00000 | − | 5.19615i | 0.0962746 | − | 0.166752i | −0.813865 | − | 0.581054i | \(-0.802641\pi\) |
0.910140 | + | 0.414301i | \(0.135974\pi\) | |||||||
\(972\) | 5.00000 | + | 8.66025i | 0.160375 | + | 0.277778i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 12.0000 | 0.384505 | ||||||||
\(975\) | 14.0000 | + | 3.46410i | 0.448359 | + | 0.110940i | ||||
\(976\) | 5.00000 | 0.160046 | ||||||||
\(977\) | 37.5000 | − | 21.6506i | 1.19973 | − | 0.692665i | 0.239236 | − | 0.970961i | \(-0.423103\pi\) |
0.960495 | + | 0.278296i | \(0.0897697\pi\) | |||||||
\(978\) | −36.0000 | − | 62.3538i | −1.15115 | − | 1.99386i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −12.0000 | − | 6.92820i | −0.383131 | − | 0.221201i | ||||
\(982\) | 18.0000 | + | 10.3923i | 0.574403 | + | 0.331632i | ||||
\(983\) | 51.9615i | 1.65732i | 0.559756 | + | 0.828658i | \(0.310895\pi\) | ||||
−0.559756 | + | 0.828658i | \(0.689105\pi\) | |||||||
\(984\) | 9.00000 | − | 15.5885i | 0.286910 | − | 0.496942i | ||||
\(985\) | −12.0000 | − | 20.7846i | −0.382352 | − | 0.662253i | ||||
\(986\) | −13.5000 | + | 7.79423i | −0.429928 | + | 0.248219i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 3.00000 | − | 12.1244i | 0.0954427 | − | 0.385727i | ||||
\(989\) | −48.0000 | −1.52631 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.00000 | − | 1.73205i | −0.0317660 | − | 0.0550204i | 0.849705 | − | 0.527258i | \(-0.176780\pi\) |
−0.881471 | + | 0.472237i | \(0.843446\pi\) | |||||||
\(992\) | 9.00000 | − | 15.5885i | 0.285750 | − | 0.494934i | ||||
\(993\) | − | 55.4256i | − | 1.75888i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 3.00000 | + | 1.73205i | 0.0951064 | + | 0.0549097i | ||||
\(996\) | 27.7128i | 0.878114i | ||||||||
\(997\) | 8.50000 | − | 14.7224i | 0.269198 | − | 0.466264i | −0.699457 | − | 0.714675i | \(-0.746575\pi\) |
0.968655 | + | 0.248410i | \(0.0799082\pi\) | |||||||
\(998\) | 27.0000 | + | 46.7654i | 0.854670 | + | 1.48033i | ||||
\(999\) | 30.0000 | − | 17.3205i | 0.949158 | − | 0.547997i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))