Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(559,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.559");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.d (of order \(2\), degree \(1\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(i)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 559.1 | ||
Root | \(-1.00000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.559 |
Dual form | 930.2.d.b.559.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −1.00000 | + | 2.00000i | −0.447214 | + | 0.894427i | ||||
\(6\) | 1.00000 | 0.408248 | ||||||||
\(7\) | − | 1.00000i | − | 0.377964i | −0.981981 | − | 0.188982i | \(-0.939481\pi\) | ||
0.981981 | − | 0.188982i | \(-0.0605189\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 2.00000 | + | 1.00000i | 0.632456 | + | 0.316228i | ||||
\(11\) | −5.00000 | −1.50756 | −0.753778 | − | 0.657129i | \(-0.771771\pi\) | ||||
−0.753778 | + | 0.657129i | \(0.771771\pi\) | |||||||
\(12\) | − | 1.00000i | − | 0.288675i | ||||||
\(13\) | − | 4.00000i | − | 1.10940i | −0.832050 | − | 0.554700i | \(-0.812833\pi\) | ||
0.832050 | − | 0.554700i | \(-0.187167\pi\) | |||||||
\(14\) | −1.00000 | −0.267261 | ||||||||
\(15\) | −2.00000 | − | 1.00000i | −0.516398 | − | 0.258199i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(18\) | 1.00000i | 0.235702i | ||||||||
\(19\) | 5.00000 | 1.14708 | 0.573539 | − | 0.819178i | \(-0.305570\pi\) | ||||
0.573539 | + | 0.819178i | \(0.305570\pi\) | |||||||
\(20\) | 1.00000 | − | 2.00000i | 0.223607 | − | 0.447214i | ||||
\(21\) | 1.00000 | 0.218218 | ||||||||
\(22\) | 5.00000i | 1.06600i | ||||||||
\(23\) | − | 9.00000i | − | 1.87663i | −0.345782 | − | 0.938315i | \(-0.612386\pi\) | ||
0.345782 | − | 0.938315i | \(-0.387614\pi\) | |||||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −3.00000 | − | 4.00000i | −0.600000 | − | 0.800000i | ||||
\(26\) | −4.00000 | −0.784465 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 1.00000i | 0.188982i | ||||||||
\(29\) | 2.00000 | 0.371391 | 0.185695 | − | 0.982607i | \(-0.440546\pi\) | ||||
0.185695 | + | 0.982607i | \(0.440546\pi\) | |||||||
\(30\) | −1.00000 | + | 2.00000i | −0.182574 | + | 0.365148i | ||||
\(31\) | 1.00000 | 0.179605 | ||||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | − | 5.00000i | − | 0.870388i | ||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.00000 | + | 1.00000i | 0.338062 | + | 0.169031i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | − | 8.00000i | − | 1.31519i | −0.753371 | − | 0.657596i | \(-0.771573\pi\) | ||
0.753371 | − | 0.657596i | \(-0.228427\pi\) | |||||||
\(38\) | − | 5.00000i | − | 0.811107i | ||||||
\(39\) | 4.00000 | 0.640513 | ||||||||
\(40\) | −2.00000 | − | 1.00000i | −0.316228 | − | 0.158114i | ||||
\(41\) | 6.00000 | 0.937043 | 0.468521 | − | 0.883452i | \(-0.344787\pi\) | ||||
0.468521 | + | 0.883452i | \(0.344787\pi\) | |||||||
\(42\) | − | 1.00000i | − | 0.154303i | ||||||
\(43\) | 1.00000i | 0.152499i | 0.997089 | + | 0.0762493i | \(0.0242945\pi\) | ||||
−0.997089 | + | 0.0762493i | \(0.975706\pi\) | |||||||
\(44\) | 5.00000 | 0.753778 | ||||||||
\(45\) | 1.00000 | − | 2.00000i | 0.149071 | − | 0.298142i | ||||
\(46\) | −9.00000 | −1.32698 | ||||||||
\(47\) | 12.0000i | 1.75038i | 0.483779 | + | 0.875190i | \(0.339264\pi\) | ||||
−0.483779 | + | 0.875190i | \(0.660736\pi\) | |||||||
\(48\) | 1.00000i | 0.144338i | ||||||||
\(49\) | 6.00000 | 0.857143 | ||||||||
\(50\) | −4.00000 | + | 3.00000i | −0.565685 | + | 0.424264i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.00000i | 0.554700i | ||||||||
\(53\) | − | 13.0000i | − | 1.78569i | −0.450367 | − | 0.892844i | \(-0.648707\pi\) | ||
0.450367 | − | 0.892844i | \(-0.351293\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | 5.00000 | − | 10.0000i | 0.674200 | − | 1.34840i | ||||
\(56\) | 1.00000 | 0.133631 | ||||||||
\(57\) | 5.00000i | 0.662266i | ||||||||
\(58\) | − | 2.00000i | − | 0.262613i | ||||||
\(59\) | −10.0000 | −1.30189 | −0.650945 | − | 0.759125i | \(-0.725627\pi\) | ||||
−0.650945 | + | 0.759125i | \(0.725627\pi\) | |||||||
\(60\) | 2.00000 | + | 1.00000i | 0.258199 | + | 0.129099i | ||||
\(61\) | −14.0000 | −1.79252 | −0.896258 | − | 0.443533i | \(-0.853725\pi\) | ||||
−0.896258 | + | 0.443533i | \(0.853725\pi\) | |||||||
\(62\) | − | 1.00000i | − | 0.127000i | ||||||
\(63\) | 1.00000i | 0.125988i | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 8.00000 | + | 4.00000i | 0.992278 | + | 0.496139i | ||||
\(66\) | −5.00000 | −0.615457 | ||||||||
\(67\) | − | 14.0000i | − | 1.71037i | −0.518321 | − | 0.855186i | \(-0.673443\pi\) | ||
0.518321 | − | 0.855186i | \(-0.326557\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 9.00000 | 1.08347 | ||||||||
\(70\) | 1.00000 | − | 2.00000i | 0.119523 | − | 0.239046i | ||||
\(71\) | −9.00000 | −1.06810 | −0.534052 | − | 0.845452i | \(-0.679331\pi\) | ||||
−0.534052 | + | 0.845452i | \(0.679331\pi\) | |||||||
\(72\) | − | 1.00000i | − | 0.117851i | ||||||
\(73\) | − | 9.00000i | − | 1.05337i | −0.850060 | − | 0.526685i | \(-0.823435\pi\) | ||
0.850060 | − | 0.526685i | \(-0.176565\pi\) | |||||||
\(74\) | −8.00000 | −0.929981 | ||||||||
\(75\) | 4.00000 | − | 3.00000i | 0.461880 | − | 0.346410i | ||||
\(76\) | −5.00000 | −0.573539 | ||||||||
\(77\) | 5.00000i | 0.569803i | ||||||||
\(78\) | − | 4.00000i | − | 0.452911i | ||||||
\(79\) | −5.00000 | −0.562544 | −0.281272 | − | 0.959628i | \(-0.590756\pi\) | ||||
−0.281272 | + | 0.959628i | \(0.590756\pi\) | |||||||
\(80\) | −1.00000 | + | 2.00000i | −0.111803 | + | 0.223607i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 6.00000i | − | 0.662589i | ||||||
\(83\) | 6.00000i | 0.658586i | 0.944228 | + | 0.329293i | \(0.106810\pi\) | ||||
−0.944228 | + | 0.329293i | \(0.893190\pi\) | |||||||
\(84\) | −1.00000 | −0.109109 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 1.00000 | 0.107833 | ||||||||
\(87\) | 2.00000i | 0.214423i | ||||||||
\(88\) | − | 5.00000i | − | 0.533002i | ||||||
\(89\) | −3.00000 | −0.317999 | −0.159000 | − | 0.987279i | \(-0.550827\pi\) | ||||
−0.159000 | + | 0.987279i | \(0.550827\pi\) | |||||||
\(90\) | −2.00000 | − | 1.00000i | −0.210819 | − | 0.105409i | ||||
\(91\) | −4.00000 | −0.419314 | ||||||||
\(92\) | 9.00000i | 0.938315i | ||||||||
\(93\) | 1.00000i | 0.103695i | ||||||||
\(94\) | 12.0000 | 1.23771 | ||||||||
\(95\) | −5.00000 | + | 10.0000i | −0.512989 | + | 1.02598i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | 18.0000i | 1.82762i | 0.406138 | + | 0.913812i | \(0.366875\pi\) | ||||
−0.406138 | + | 0.913812i | \(0.633125\pi\) | |||||||
\(98\) | − | 6.00000i | − | 0.606092i | ||||||
\(99\) | 5.00000 | 0.502519 | ||||||||
\(100\) | 3.00000 | + | 4.00000i | 0.300000 | + | 0.400000i | ||||
\(101\) | −7.00000 | −0.696526 | −0.348263 | − | 0.937397i | \(-0.613228\pi\) | ||||
−0.348263 | + | 0.937397i | \(0.613228\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.00000i | 0.788263i | 0.919054 | + | 0.394132i | \(0.128955\pi\) | ||||
−0.919054 | + | 0.394132i | \(0.871045\pi\) | |||||||
\(104\) | 4.00000 | 0.392232 | ||||||||
\(105\) | −1.00000 | + | 2.00000i | −0.0975900 | + | 0.195180i | ||||
\(106\) | −13.0000 | −1.26267 | ||||||||
\(107\) | − | 11.0000i | − | 1.06341i | −0.846930 | − | 0.531705i | \(-0.821551\pi\) | ||
0.846930 | − | 0.531705i | \(-0.178449\pi\) | |||||||
\(108\) | 1.00000i | 0.0962250i | ||||||||
\(109\) | 2.00000 | 0.191565 | 0.0957826 | − | 0.995402i | \(-0.469465\pi\) | ||||
0.0957826 | + | 0.995402i | \(0.469465\pi\) | |||||||
\(110\) | −10.0000 | − | 5.00000i | −0.953463 | − | 0.476731i | ||||
\(111\) | 8.00000 | 0.759326 | ||||||||
\(112\) | − | 1.00000i | − | 0.0944911i | ||||||
\(113\) | 13.0000i | 1.22294i | 0.791269 | + | 0.611469i | \(0.209421\pi\) | ||||
−0.791269 | + | 0.611469i | \(0.790579\pi\) | |||||||
\(114\) | 5.00000 | 0.468293 | ||||||||
\(115\) | 18.0000 | + | 9.00000i | 1.67851 | + | 0.839254i | ||||
\(116\) | −2.00000 | −0.185695 | ||||||||
\(117\) | 4.00000i | 0.369800i | ||||||||
\(118\) | 10.0000i | 0.920575i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 1.00000 | − | 2.00000i | 0.0912871 | − | 0.182574i | ||||
\(121\) | 14.0000 | 1.27273 | ||||||||
\(122\) | 14.0000i | 1.26750i | ||||||||
\(123\) | 6.00000i | 0.541002i | ||||||||
\(124\) | −1.00000 | −0.0898027 | ||||||||
\(125\) | 11.0000 | − | 2.00000i | 0.983870 | − | 0.178885i | ||||
\(126\) | 1.00000 | 0.0890871 | ||||||||
\(127\) | − | 20.0000i | − | 1.77471i | −0.461084 | − | 0.887357i | \(-0.652539\pi\) | ||
0.461084 | − | 0.887357i | \(-0.347461\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −1.00000 | −0.0880451 | ||||||||
\(130\) | 4.00000 | − | 8.00000i | 0.350823 | − | 0.701646i | ||||
\(131\) | −6.00000 | −0.524222 | −0.262111 | − | 0.965038i | \(-0.584419\pi\) | ||||
−0.262111 | + | 0.965038i | \(0.584419\pi\) | |||||||
\(132\) | 5.00000i | 0.435194i | ||||||||
\(133\) | − | 5.00000i | − | 0.433555i | ||||||
\(134\) | −14.0000 | −1.20942 | ||||||||
\(135\) | 2.00000 | + | 1.00000i | 0.172133 | + | 0.0860663i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | − | 2.00000i | − | 0.170872i | −0.996344 | − | 0.0854358i | \(-0.972772\pi\) | ||
0.996344 | − | 0.0854358i | \(-0.0272282\pi\) | |||||||
\(138\) | − | 9.00000i | − | 0.766131i | ||||||
\(139\) | −16.0000 | −1.35710 | −0.678551 | − | 0.734553i | \(-0.737392\pi\) | ||||
−0.678551 | + | 0.734553i | \(0.737392\pi\) | |||||||
\(140\) | −2.00000 | − | 1.00000i | −0.169031 | − | 0.0845154i | ||||
\(141\) | −12.0000 | −1.01058 | ||||||||
\(142\) | 9.00000i | 0.755263i | ||||||||
\(143\) | 20.0000i | 1.67248i | ||||||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | −2.00000 | + | 4.00000i | −0.166091 | + | 0.332182i | ||||
\(146\) | −9.00000 | −0.744845 | ||||||||
\(147\) | 6.00000i | 0.494872i | ||||||||
\(148\) | 8.00000i | 0.657596i | ||||||||
\(149\) | −7.00000 | −0.573462 | −0.286731 | − | 0.958011i | \(-0.592569\pi\) | ||||
−0.286731 | + | 0.958011i | \(0.592569\pi\) | |||||||
\(150\) | −3.00000 | − | 4.00000i | −0.244949 | − | 0.326599i | ||||
\(151\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(152\) | 5.00000i | 0.405554i | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.00000 | 0.402911 | ||||||||
\(155\) | −1.00000 | + | 2.00000i | −0.0803219 | + | 0.160644i | ||||
\(156\) | −4.00000 | −0.320256 | ||||||||
\(157\) | − | 13.0000i | − | 1.03751i | −0.854922 | − | 0.518756i | \(-0.826395\pi\) | ||
0.854922 | − | 0.518756i | \(-0.173605\pi\) | |||||||
\(158\) | 5.00000i | 0.397779i | ||||||||
\(159\) | 13.0000 | 1.03097 | ||||||||
\(160\) | 2.00000 | + | 1.00000i | 0.158114 | + | 0.0790569i | ||||
\(161\) | −9.00000 | −0.709299 | ||||||||
\(162\) | − | 1.00000i | − | 0.0785674i | ||||||
\(163\) | 4.00000i | 0.313304i | 0.987654 | + | 0.156652i | \(0.0500701\pi\) | ||||
−0.987654 | + | 0.156652i | \(0.949930\pi\) | |||||||
\(164\) | −6.00000 | −0.468521 | ||||||||
\(165\) | 10.0000 | + | 5.00000i | 0.778499 | + | 0.389249i | ||||
\(166\) | 6.00000 | 0.465690 | ||||||||
\(167\) | 9.00000i | 0.696441i | 0.937413 | + | 0.348220i | \(0.113214\pi\) | ||||
−0.937413 | + | 0.348220i | \(0.886786\pi\) | |||||||
\(168\) | 1.00000i | 0.0771517i | ||||||||
\(169\) | −3.00000 | −0.230769 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.00000 | −0.382360 | ||||||||
\(172\) | − | 1.00000i | − | 0.0762493i | ||||||
\(173\) | − | 6.00000i | − | 0.456172i | −0.973641 | − | 0.228086i | \(-0.926753\pi\) | ||
0.973641 | − | 0.228086i | \(-0.0732467\pi\) | |||||||
\(174\) | 2.00000 | 0.151620 | ||||||||
\(175\) | −4.00000 | + | 3.00000i | −0.302372 | + | 0.226779i | ||||
\(176\) | −5.00000 | −0.376889 | ||||||||
\(177\) | − | 10.0000i | − | 0.751646i | ||||||
\(178\) | 3.00000i | 0.224860i | ||||||||
\(179\) | 16.0000 | 1.19590 | 0.597948 | − | 0.801535i | \(-0.295983\pi\) | ||||
0.597948 | + | 0.801535i | \(0.295983\pi\) | |||||||
\(180\) | −1.00000 | + | 2.00000i | −0.0745356 | + | 0.149071i | ||||
\(181\) | 17.0000 | 1.26360 | 0.631800 | − | 0.775131i | \(-0.282316\pi\) | ||||
0.631800 | + | 0.775131i | \(0.282316\pi\) | |||||||
\(182\) | 4.00000i | 0.296500i | ||||||||
\(183\) | − | 14.0000i | − | 1.03491i | ||||||
\(184\) | 9.00000 | 0.663489 | ||||||||
\(185\) | 16.0000 | + | 8.00000i | 1.17634 | + | 0.588172i | ||||
\(186\) | 1.00000 | 0.0733236 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | − | 12.0000i | − | 0.875190i | ||||||
\(189\) | −1.00000 | −0.0727393 | ||||||||
\(190\) | 10.0000 | + | 5.00000i | 0.725476 | + | 0.362738i | ||||
\(191\) | 8.00000 | 0.578860 | 0.289430 | − | 0.957199i | \(-0.406534\pi\) | ||||
0.289430 | + | 0.957199i | \(0.406534\pi\) | |||||||
\(192\) | − | 1.00000i | − | 0.0721688i | ||||||
\(193\) | − | 22.0000i | − | 1.58359i | −0.610784 | − | 0.791797i | \(-0.709146\pi\) | ||
0.610784 | − | 0.791797i | \(-0.290854\pi\) | |||||||
\(194\) | 18.0000 | 1.29232 | ||||||||
\(195\) | −4.00000 | + | 8.00000i | −0.286446 | + | 0.572892i | ||||
\(196\) | −6.00000 | −0.428571 | ||||||||
\(197\) | 10.0000i | 0.712470i | 0.934396 | + | 0.356235i | \(0.115940\pi\) | ||||
−0.934396 | + | 0.356235i | \(0.884060\pi\) | |||||||
\(198\) | − | 5.00000i | − | 0.355335i | ||||||
\(199\) | 11.0000 | 0.779769 | 0.389885 | − | 0.920864i | \(-0.372515\pi\) | ||||
0.389885 | + | 0.920864i | \(0.372515\pi\) | |||||||
\(200\) | 4.00000 | − | 3.00000i | 0.282843 | − | 0.212132i | ||||
\(201\) | 14.0000 | 0.987484 | ||||||||
\(202\) | 7.00000i | 0.492518i | ||||||||
\(203\) | − | 2.00000i | − | 0.140372i | ||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.00000 | + | 12.0000i | −0.419058 | + | 0.838116i | ||||
\(206\) | 8.00000 | 0.557386 | ||||||||
\(207\) | 9.00000i | 0.625543i | ||||||||
\(208\) | − | 4.00000i | − | 0.277350i | ||||||
\(209\) | −25.0000 | −1.72929 | ||||||||
\(210\) | 2.00000 | + | 1.00000i | 0.138013 | + | 0.0690066i | ||||
\(211\) | −13.0000 | −0.894957 | −0.447478 | − | 0.894295i | \(-0.647678\pi\) | ||||
−0.447478 | + | 0.894295i | \(0.647678\pi\) | |||||||
\(212\) | 13.0000i | 0.892844i | ||||||||
\(213\) | − | 9.00000i | − | 0.616670i | ||||||
\(214\) | −11.0000 | −0.751945 | ||||||||
\(215\) | −2.00000 | − | 1.00000i | −0.136399 | − | 0.0681994i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | − | 1.00000i | − | 0.0678844i | ||||||
\(218\) | − | 2.00000i | − | 0.135457i | ||||||
\(219\) | 9.00000 | 0.608164 | ||||||||
\(220\) | −5.00000 | + | 10.0000i | −0.337100 | + | 0.674200i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | − | 8.00000i | − | 0.536925i | ||||||
\(223\) | 16.0000i | 1.07144i | 0.844396 | + | 0.535720i | \(0.179960\pi\) | ||||
−0.844396 | + | 0.535720i | \(0.820040\pi\) | |||||||
\(224\) | −1.00000 | −0.0668153 | ||||||||
\(225\) | 3.00000 | + | 4.00000i | 0.200000 | + | 0.266667i | ||||
\(226\) | 13.0000 | 0.864747 | ||||||||
\(227\) | − | 15.0000i | − | 0.995585i | −0.867296 | − | 0.497792i | \(-0.834144\pi\) | ||
0.867296 | − | 0.497792i | \(-0.165856\pi\) | |||||||
\(228\) | − | 5.00000i | − | 0.331133i | ||||||
\(229\) | 19.0000 | 1.25556 | 0.627778 | − | 0.778393i | \(-0.283965\pi\) | ||||
0.627778 | + | 0.778393i | \(0.283965\pi\) | |||||||
\(230\) | 9.00000 | − | 18.0000i | 0.593442 | − | 1.18688i | ||||
\(231\) | −5.00000 | −0.328976 | ||||||||
\(232\) | 2.00000i | 0.131306i | ||||||||
\(233\) | − | 1.00000i | − | 0.0655122i | −0.999463 | − | 0.0327561i | \(-0.989572\pi\) | ||
0.999463 | − | 0.0327561i | \(-0.0104285\pi\) | |||||||
\(234\) | 4.00000 | 0.261488 | ||||||||
\(235\) | −24.0000 | − | 12.0000i | −1.56559 | − | 0.782794i | ||||
\(236\) | 10.0000 | 0.650945 | ||||||||
\(237\) | − | 5.00000i | − | 0.324785i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.00000 | 0.388108 | 0.194054 | − | 0.980991i | \(-0.437836\pi\) | ||||
0.194054 | + | 0.980991i | \(0.437836\pi\) | |||||||
\(240\) | −2.00000 | − | 1.00000i | −0.129099 | − | 0.0645497i | ||||
\(241\) | 24.0000 | 1.54598 | 0.772988 | − | 0.634421i | \(-0.218761\pi\) | ||||
0.772988 | + | 0.634421i | \(0.218761\pi\) | |||||||
\(242\) | − | 14.0000i | − | 0.899954i | ||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 14.0000 | 0.896258 | ||||||||
\(245\) | −6.00000 | + | 12.0000i | −0.383326 | + | 0.766652i | ||||
\(246\) | 6.00000 | 0.382546 | ||||||||
\(247\) | − | 20.0000i | − | 1.27257i | ||||||
\(248\) | 1.00000i | 0.0635001i | ||||||||
\(249\) | −6.00000 | −0.380235 | ||||||||
\(250\) | −2.00000 | − | 11.0000i | −0.126491 | − | 0.695701i | ||||
\(251\) | −28.0000 | −1.76734 | −0.883672 | − | 0.468106i | \(-0.844936\pi\) | ||||
−0.883672 | + | 0.468106i | \(0.844936\pi\) | |||||||
\(252\) | − | 1.00000i | − | 0.0629941i | ||||||
\(253\) | 45.0000i | 2.82913i | ||||||||
\(254\) | −20.0000 | −1.25491 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 7.00000i | 0.436648i | 0.975876 | + | 0.218324i | \(0.0700590\pi\) | ||||
−0.975876 | + | 0.218324i | \(0.929941\pi\) | |||||||
\(258\) | 1.00000i | 0.0622573i | ||||||||
\(259\) | −8.00000 | −0.497096 | ||||||||
\(260\) | −8.00000 | − | 4.00000i | −0.496139 | − | 0.248069i | ||||
\(261\) | −2.00000 | −0.123797 | ||||||||
\(262\) | 6.00000i | 0.370681i | ||||||||
\(263\) | − | 8.00000i | − | 0.493301i | −0.969104 | − | 0.246651i | \(-0.920670\pi\) | ||
0.969104 | − | 0.246651i | \(-0.0793300\pi\) | |||||||
\(264\) | 5.00000 | 0.307729 | ||||||||
\(265\) | 26.0000 | + | 13.0000i | 1.59717 | + | 0.798584i | ||||
\(266\) | −5.00000 | −0.306570 | ||||||||
\(267\) | − | 3.00000i | − | 0.183597i | ||||||
\(268\) | 14.0000i | 0.855186i | ||||||||
\(269\) | 22.0000 | 1.34136 | 0.670682 | − | 0.741745i | \(-0.266002\pi\) | ||||
0.670682 | + | 0.741745i | \(0.266002\pi\) | |||||||
\(270\) | 1.00000 | − | 2.00000i | 0.0608581 | − | 0.121716i | ||||
\(271\) | −25.0000 | −1.51864 | −0.759321 | − | 0.650716i | \(-0.774469\pi\) | ||||
−0.759321 | + | 0.650716i | \(0.774469\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | − | 4.00000i | − | 0.242091i | ||||||
\(274\) | −2.00000 | −0.120824 | ||||||||
\(275\) | 15.0000 | + | 20.0000i | 0.904534 | + | 1.20605i | ||||
\(276\) | −9.00000 | −0.541736 | ||||||||
\(277\) | 2.00000i | 0.120168i | 0.998193 | + | 0.0600842i | \(0.0191369\pi\) | ||||
−0.998193 | + | 0.0600842i | \(0.980863\pi\) | |||||||
\(278\) | 16.0000i | 0.959616i | ||||||||
\(279\) | −1.00000 | −0.0598684 | ||||||||
\(280\) | −1.00000 | + | 2.00000i | −0.0597614 | + | 0.119523i | ||||
\(281\) | 12.0000 | 0.715860 | 0.357930 | − | 0.933748i | \(-0.383483\pi\) | ||||
0.357930 | + | 0.933748i | \(0.383483\pi\) | |||||||
\(282\) | 12.0000i | 0.714590i | ||||||||
\(283\) | 26.0000i | 1.54554i | 0.634686 | + | 0.772770i | \(0.281129\pi\) | ||||
−0.634686 | + | 0.772770i | \(0.718871\pi\) | |||||||
\(284\) | 9.00000 | 0.534052 | ||||||||
\(285\) | −10.0000 | − | 5.00000i | −0.592349 | − | 0.296174i | ||||
\(286\) | 20.0000 | 1.18262 | ||||||||
\(287\) | − | 6.00000i | − | 0.354169i | ||||||
\(288\) | 1.00000i | 0.0589256i | ||||||||
\(289\) | 17.0000 | 1.00000 | ||||||||
\(290\) | 4.00000 | + | 2.00000i | 0.234888 | + | 0.117444i | ||||
\(291\) | −18.0000 | −1.05518 | ||||||||
\(292\) | 9.00000i | 0.526685i | ||||||||
\(293\) | − | 14.0000i | − | 0.817889i | −0.912559 | − | 0.408944i | \(-0.865897\pi\) | ||
0.912559 | − | 0.408944i | \(-0.134103\pi\) | |||||||
\(294\) | 6.00000 | 0.349927 | ||||||||
\(295\) | 10.0000 | − | 20.0000i | 0.582223 | − | 1.16445i | ||||
\(296\) | 8.00000 | 0.464991 | ||||||||
\(297\) | 5.00000i | 0.290129i | ||||||||
\(298\) | 7.00000i | 0.405499i | ||||||||
\(299\) | −36.0000 | −2.08193 | ||||||||
\(300\) | −4.00000 | + | 3.00000i | −0.230940 | + | 0.173205i | ||||
\(301\) | 1.00000 | 0.0576390 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | − | 7.00000i | − | 0.402139i | ||||||
\(304\) | 5.00000 | 0.286770 | ||||||||
\(305\) | 14.0000 | − | 28.0000i | 0.801638 | − | 1.60328i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.00000i | 0.456584i | 0.973593 | + | 0.228292i | \(0.0733141\pi\) | ||||
−0.973593 | + | 0.228292i | \(0.926686\pi\) | |||||||
\(308\) | − | 5.00000i | − | 0.284901i | ||||||
\(309\) | −8.00000 | −0.455104 | ||||||||
\(310\) | 2.00000 | + | 1.00000i | 0.113592 | + | 0.0567962i | ||||
\(311\) | −8.00000 | −0.453638 | −0.226819 | − | 0.973937i | \(-0.572833\pi\) | ||||
−0.226819 | + | 0.973937i | \(0.572833\pi\) | |||||||
\(312\) | 4.00000i | 0.226455i | ||||||||
\(313\) | 6.00000i | 0.339140i | 0.985518 | + | 0.169570i | \(0.0542379\pi\) | ||||
−0.985518 | + | 0.169570i | \(0.945762\pi\) | |||||||
\(314\) | −13.0000 | −0.733632 | ||||||||
\(315\) | −2.00000 | − | 1.00000i | −0.112687 | − | 0.0563436i | ||||
\(316\) | 5.00000 | 0.281272 | ||||||||
\(317\) | − | 34.0000i | − | 1.90963i | −0.297200 | − | 0.954815i | \(-0.596053\pi\) | ||
0.297200 | − | 0.954815i | \(-0.403947\pi\) | |||||||
\(318\) | − | 13.0000i | − | 0.729004i | ||||||
\(319\) | −10.0000 | −0.559893 | ||||||||
\(320\) | 1.00000 | − | 2.00000i | 0.0559017 | − | 0.111803i | ||||
\(321\) | 11.0000 | 0.613960 | ||||||||
\(322\) | 9.00000i | 0.501550i | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −16.0000 | + | 12.0000i | −0.887520 | + | 0.665640i | ||||
\(326\) | 4.00000 | 0.221540 | ||||||||
\(327\) | 2.00000i | 0.110600i | ||||||||
\(328\) | 6.00000i | 0.331295i | ||||||||
\(329\) | 12.0000 | 0.661581 | ||||||||
\(330\) | 5.00000 | − | 10.0000i | 0.275241 | − | 0.550482i | ||||
\(331\) | −24.0000 | −1.31916 | −0.659580 | − | 0.751635i | \(-0.729266\pi\) | ||||
−0.659580 | + | 0.751635i | \(0.729266\pi\) | |||||||
\(332\) | − | 6.00000i | − | 0.329293i | ||||||
\(333\) | 8.00000i | 0.438397i | ||||||||
\(334\) | 9.00000 | 0.492458 | ||||||||
\(335\) | 28.0000 | + | 14.0000i | 1.52980 | + | 0.764902i | ||||
\(336\) | 1.00000 | 0.0545545 | ||||||||
\(337\) | − | 2.00000i | − | 0.108947i | −0.998515 | − | 0.0544735i | \(-0.982652\pi\) | ||
0.998515 | − | 0.0544735i | \(-0.0173480\pi\) | |||||||
\(338\) | 3.00000i | 0.163178i | ||||||||
\(339\) | −13.0000 | −0.706063 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −5.00000 | −0.270765 | ||||||||
\(342\) | 5.00000i | 0.270369i | ||||||||
\(343\) | − | 13.0000i | − | 0.701934i | ||||||
\(344\) | −1.00000 | −0.0539164 | ||||||||
\(345\) | −9.00000 | + | 18.0000i | −0.484544 | + | 0.969087i | ||||
\(346\) | −6.00000 | −0.322562 | ||||||||
\(347\) | 18.0000i | 0.966291i | 0.875540 | + | 0.483145i | \(0.160506\pi\) | ||||
−0.875540 | + | 0.483145i | \(0.839494\pi\) | |||||||
\(348\) | − | 2.00000i | − | 0.107211i | ||||||
\(349\) | −4.00000 | −0.214115 | −0.107058 | − | 0.994253i | \(-0.534143\pi\) | ||||
−0.107058 | + | 0.994253i | \(0.534143\pi\) | |||||||
\(350\) | 3.00000 | + | 4.00000i | 0.160357 | + | 0.213809i | ||||
\(351\) | −4.00000 | −0.213504 | ||||||||
\(352\) | 5.00000i | 0.266501i | ||||||||
\(353\) | − | 4.00000i | − | 0.212899i | −0.994318 | − | 0.106449i | \(-0.966052\pi\) | ||
0.994318 | − | 0.106449i | \(-0.0339482\pi\) | |||||||
\(354\) | −10.0000 | −0.531494 | ||||||||
\(355\) | 9.00000 | − | 18.0000i | 0.477670 | − | 0.955341i | ||||
\(356\) | 3.00000 | 0.159000 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 16.0000i | − | 0.845626i | ||||||
\(359\) | 9.00000 | 0.475002 | 0.237501 | − | 0.971387i | \(-0.423672\pi\) | ||||
0.237501 | + | 0.971387i | \(0.423672\pi\) | |||||||
\(360\) | 2.00000 | + | 1.00000i | 0.105409 | + | 0.0527046i | ||||
\(361\) | 6.00000 | 0.315789 | ||||||||
\(362\) | − | 17.0000i | − | 0.893500i | ||||||
\(363\) | 14.0000i | 0.734809i | ||||||||
\(364\) | 4.00000 | 0.209657 | ||||||||
\(365\) | 18.0000 | + | 9.00000i | 0.942163 | + | 0.471082i | ||||
\(366\) | −14.0000 | −0.731792 | ||||||||
\(367\) | − | 18.0000i | − | 0.939592i | −0.882775 | − | 0.469796i | \(-0.844327\pi\) | ||
0.882775 | − | 0.469796i | \(-0.155673\pi\) | |||||||
\(368\) | − | 9.00000i | − | 0.469157i | ||||||
\(369\) | −6.00000 | −0.312348 | ||||||||
\(370\) | 8.00000 | − | 16.0000i | 0.415900 | − | 0.831800i | ||||
\(371\) | −13.0000 | −0.674926 | ||||||||
\(372\) | − | 1.00000i | − | 0.0518476i | ||||||
\(373\) | 1.00000i | 0.0517780i | 0.999665 | + | 0.0258890i | \(0.00824165\pi\) | ||||
−0.999665 | + | 0.0258890i | \(0.991758\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.00000 | + | 11.0000i | 0.103280 | + | 0.568038i | ||||
\(376\) | −12.0000 | −0.618853 | ||||||||
\(377\) | − | 8.00000i | − | 0.412021i | ||||||
\(378\) | 1.00000i | 0.0514344i | ||||||||
\(379\) | 11.0000 | 0.565032 | 0.282516 | − | 0.959263i | \(-0.408831\pi\) | ||||
0.282516 | + | 0.959263i | \(0.408831\pi\) | |||||||
\(380\) | 5.00000 | − | 10.0000i | 0.256495 | − | 0.512989i | ||||
\(381\) | 20.0000 | 1.02463 | ||||||||
\(382\) | − | 8.00000i | − | 0.409316i | ||||||
\(383\) | 12.0000i | 0.613171i | 0.951843 | + | 0.306586i | \(0.0991866\pi\) | ||||
−0.951843 | + | 0.306586i | \(0.900813\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | −10.0000 | − | 5.00000i | −0.509647 | − | 0.254824i | ||||
\(386\) | −22.0000 | −1.11977 | ||||||||
\(387\) | − | 1.00000i | − | 0.0508329i | ||||||
\(388\) | − | 18.0000i | − | 0.913812i | ||||||
\(389\) | 16.0000 | 0.811232 | 0.405616 | − | 0.914044i | \(-0.367057\pi\) | ||||
0.405616 | + | 0.914044i | \(0.367057\pi\) | |||||||
\(390\) | 8.00000 | + | 4.00000i | 0.405096 | + | 0.202548i | ||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 6.00000i | 0.303046i | ||||||||
\(393\) | − | 6.00000i | − | 0.302660i | ||||||
\(394\) | 10.0000 | 0.503793 | ||||||||
\(395\) | 5.00000 | − | 10.0000i | 0.251577 | − | 0.503155i | ||||
\(396\) | −5.00000 | −0.251259 | ||||||||
\(397\) | 3.00000i | 0.150566i | 0.997162 | + | 0.0752828i | \(0.0239860\pi\) | ||||
−0.997162 | + | 0.0752828i | \(0.976014\pi\) | |||||||
\(398\) | − | 11.0000i | − | 0.551380i | ||||||
\(399\) | 5.00000 | 0.250313 | ||||||||
\(400\) | −3.00000 | − | 4.00000i | −0.150000 | − | 0.200000i | ||||
\(401\) | −25.0000 | −1.24844 | −0.624220 | − | 0.781248i | \(-0.714583\pi\) | ||||
−0.624220 | + | 0.781248i | \(0.714583\pi\) | |||||||
\(402\) | − | 14.0000i | − | 0.698257i | ||||||
\(403\) | − | 4.00000i | − | 0.199254i | ||||||
\(404\) | 7.00000 | 0.348263 | ||||||||
\(405\) | −1.00000 | + | 2.00000i | −0.0496904 | + | 0.0993808i | ||||
\(406\) | −2.00000 | −0.0992583 | ||||||||
\(407\) | 40.0000i | 1.98273i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 28.0000 | 1.38451 | 0.692255 | − | 0.721653i | \(-0.256617\pi\) | ||||
0.692255 | + | 0.721653i | \(0.256617\pi\) | |||||||
\(410\) | 12.0000 | + | 6.00000i | 0.592638 | + | 0.296319i | ||||
\(411\) | 2.00000 | 0.0986527 | ||||||||
\(412\) | − | 8.00000i | − | 0.394132i | ||||||
\(413\) | 10.0000i | 0.492068i | ||||||||
\(414\) | 9.00000 | 0.442326 | ||||||||
\(415\) | −12.0000 | − | 6.00000i | −0.589057 | − | 0.294528i | ||||
\(416\) | −4.00000 | −0.196116 | ||||||||
\(417\) | − | 16.0000i | − | 0.783523i | ||||||
\(418\) | 25.0000i | 1.22279i | ||||||||
\(419\) | −30.0000 | −1.46560 | −0.732798 | − | 0.680446i | \(-0.761786\pi\) | ||||
−0.732798 | + | 0.680446i | \(0.761786\pi\) | |||||||
\(420\) | 1.00000 | − | 2.00000i | 0.0487950 | − | 0.0975900i | ||||
\(421\) | −26.0000 | −1.26716 | −0.633581 | − | 0.773676i | \(-0.718416\pi\) | ||||
−0.633581 | + | 0.773676i | \(0.718416\pi\) | |||||||
\(422\) | 13.0000i | 0.632830i | ||||||||
\(423\) | − | 12.0000i | − | 0.583460i | ||||||
\(424\) | 13.0000 | 0.631336 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −9.00000 | −0.436051 | ||||||||
\(427\) | 14.0000i | 0.677507i | ||||||||
\(428\) | 11.0000i | 0.531705i | ||||||||
\(429\) | −20.0000 | −0.965609 | ||||||||
\(430\) | −1.00000 | + | 2.00000i | −0.0482243 | + | 0.0964486i | ||||
\(431\) | −32.0000 | −1.54139 | −0.770693 | − | 0.637207i | \(-0.780090\pi\) | ||||
−0.770693 | + | 0.637207i | \(0.780090\pi\) | |||||||
\(432\) | − | 1.00000i | − | 0.0481125i | ||||||
\(433\) | − | 11.0000i | − | 0.528626i | −0.964437 | − | 0.264313i | \(-0.914855\pi\) | ||
0.964437 | − | 0.264313i | \(-0.0851452\pi\) | |||||||
\(434\) | −1.00000 | −0.0480015 | ||||||||
\(435\) | −4.00000 | − | 2.00000i | −0.191785 | − | 0.0958927i | ||||
\(436\) | −2.00000 | −0.0957826 | ||||||||
\(437\) | − | 45.0000i | − | 2.15264i | ||||||
\(438\) | − | 9.00000i | − | 0.430037i | ||||||
\(439\) | −20.0000 | −0.954548 | −0.477274 | − | 0.878755i | \(-0.658375\pi\) | ||||
−0.477274 | + | 0.878755i | \(0.658375\pi\) | |||||||
\(440\) | 10.0000 | + | 5.00000i | 0.476731 | + | 0.238366i | ||||
\(441\) | −6.00000 | −0.285714 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 13.0000i | 0.617649i | 0.951119 | + | 0.308824i | \(0.0999355\pi\) | ||||
−0.951119 | + | 0.308824i | \(0.900064\pi\) | |||||||
\(444\) | −8.00000 | −0.379663 | ||||||||
\(445\) | 3.00000 | − | 6.00000i | 0.142214 | − | 0.284427i | ||||
\(446\) | 16.0000 | 0.757622 | ||||||||
\(447\) | − | 7.00000i | − | 0.331089i | ||||||
\(448\) | 1.00000i | 0.0472456i | ||||||||
\(449\) | −6.00000 | −0.283158 | −0.141579 | − | 0.989927i | \(-0.545218\pi\) | ||||
−0.141579 | + | 0.989927i | \(0.545218\pi\) | |||||||
\(450\) | 4.00000 | − | 3.00000i | 0.188562 | − | 0.141421i | ||||
\(451\) | −30.0000 | −1.41264 | ||||||||
\(452\) | − | 13.0000i | − | 0.611469i | ||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −15.0000 | −0.703985 | ||||||||
\(455\) | 4.00000 | − | 8.00000i | 0.187523 | − | 0.375046i | ||||
\(456\) | −5.00000 | −0.234146 | ||||||||
\(457\) | 22.0000i | 1.02912i | 0.857455 | + | 0.514558i | \(0.172044\pi\) | ||||
−0.857455 | + | 0.514558i | \(0.827956\pi\) | |||||||
\(458\) | − | 19.0000i | − | 0.887812i | ||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −18.0000 | − | 9.00000i | −0.839254 | − | 0.419627i | ||||
\(461\) | 36.0000 | 1.67669 | 0.838344 | − | 0.545142i | \(-0.183524\pi\) | ||||
0.838344 | + | 0.545142i | \(0.183524\pi\) | |||||||
\(462\) | 5.00000i | 0.232621i | ||||||||
\(463\) | 30.0000i | 1.39422i | 0.716965 | + | 0.697109i | \(0.245531\pi\) | ||||
−0.716965 | + | 0.697109i | \(0.754469\pi\) | |||||||
\(464\) | 2.00000 | 0.0928477 | ||||||||
\(465\) | −2.00000 | − | 1.00000i | −0.0927478 | − | 0.0463739i | ||||
\(466\) | −1.00000 | −0.0463241 | ||||||||
\(467\) | − | 20.0000i | − | 0.925490i | −0.886492 | − | 0.462745i | \(-0.846865\pi\) | ||
0.886492 | − | 0.462745i | \(-0.153135\pi\) | |||||||
\(468\) | − | 4.00000i | − | 0.184900i | ||||||
\(469\) | −14.0000 | −0.646460 | ||||||||
\(470\) | −12.0000 | + | 24.0000i | −0.553519 | + | 1.10704i | ||||
\(471\) | 13.0000 | 0.599008 | ||||||||
\(472\) | − | 10.0000i | − | 0.460287i | ||||||
\(473\) | − | 5.00000i | − | 0.229900i | ||||||
\(474\) | −5.00000 | −0.229658 | ||||||||
\(475\) | −15.0000 | − | 20.0000i | −0.688247 | − | 0.917663i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 13.0000i | 0.595229i | ||||||||
\(478\) | − | 6.00000i | − | 0.274434i | ||||||
\(479\) | 21.0000 | 0.959514 | 0.479757 | − | 0.877401i | \(-0.340725\pi\) | ||||
0.479757 | + | 0.877401i | \(0.340725\pi\) | |||||||
\(480\) | −1.00000 | + | 2.00000i | −0.0456435 | + | 0.0912871i | ||||
\(481\) | −32.0000 | −1.45907 | ||||||||
\(482\) | − | 24.0000i | − | 1.09317i | ||||||
\(483\) | − | 9.00000i | − | 0.409514i | ||||||
\(484\) | −14.0000 | −0.636364 | ||||||||
\(485\) | −36.0000 | − | 18.0000i | −1.63468 | − | 0.817338i | ||||
\(486\) | 1.00000 | 0.0453609 | ||||||||
\(487\) | − | 24.0000i | − | 1.08754i | −0.839233 | − | 0.543772i | \(-0.816996\pi\) | ||
0.839233 | − | 0.543772i | \(-0.183004\pi\) | |||||||
\(488\) | − | 14.0000i | − | 0.633750i | ||||||
\(489\) | −4.00000 | −0.180886 | ||||||||
\(490\) | 12.0000 | + | 6.00000i | 0.542105 | + | 0.271052i | ||||
\(491\) | 15.0000 | 0.676941 | 0.338470 | − | 0.940977i | \(-0.390091\pi\) | ||||
0.338470 | + | 0.940977i | \(0.390091\pi\) | |||||||
\(492\) | − | 6.00000i | − | 0.270501i | ||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −20.0000 | −0.899843 | ||||||||
\(495\) | −5.00000 | + | 10.0000i | −0.224733 | + | 0.449467i | ||||
\(496\) | 1.00000 | 0.0449013 | ||||||||
\(497\) | 9.00000i | 0.403705i | ||||||||
\(498\) | 6.00000i | 0.268866i | ||||||||
\(499\) | −6.00000 | −0.268597 | −0.134298 | − | 0.990941i | \(-0.542878\pi\) | ||||
−0.134298 | + | 0.990941i | \(0.542878\pi\) | |||||||
\(500\) | −11.0000 | + | 2.00000i | −0.491935 | + | 0.0894427i | ||||
\(501\) | −9.00000 | −0.402090 | ||||||||
\(502\) | 28.0000i | 1.24970i | ||||||||
\(503\) | 22.0000i | 0.980932i | 0.871460 | + | 0.490466i | \(0.163173\pi\) | ||||
−0.871460 | + | 0.490466i | \(0.836827\pi\) | |||||||
\(504\) | −1.00000 | −0.0445435 | ||||||||
\(505\) | 7.00000 | − | 14.0000i | 0.311496 | − | 0.622992i | ||||
\(506\) | 45.0000 | 2.00049 | ||||||||
\(507\) | − | 3.00000i | − | 0.133235i | ||||||
\(508\) | 20.0000i | 0.887357i | ||||||||
\(509\) | 20.0000 | 0.886484 | 0.443242 | − | 0.896402i | \(-0.353828\pi\) | ||||
0.443242 | + | 0.896402i | \(0.353828\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.00000 | −0.398137 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | − | 5.00000i | − | 0.220755i | ||||||
\(514\) | 7.00000 | 0.308757 | ||||||||
\(515\) | −16.0000 | − | 8.00000i | −0.705044 | − | 0.352522i | ||||
\(516\) | 1.00000 | 0.0440225 | ||||||||
\(517\) | − | 60.0000i | − | 2.63880i | ||||||
\(518\) | 8.00000i | 0.351500i | ||||||||
\(519\) | 6.00000 | 0.263371 | ||||||||
\(520\) | −4.00000 | + | 8.00000i | −0.175412 | + | 0.350823i | ||||
\(521\) | −36.0000 | −1.57719 | −0.788594 | − | 0.614914i | \(-0.789191\pi\) | ||||
−0.788594 | + | 0.614914i | \(0.789191\pi\) | |||||||
\(522\) | 2.00000i | 0.0875376i | ||||||||
\(523\) | 17.0000i | 0.743358i | 0.928361 | + | 0.371679i | \(0.121218\pi\) | ||||
−0.928361 | + | 0.371679i | \(0.878782\pi\) | |||||||
\(524\) | 6.00000 | 0.262111 | ||||||||
\(525\) | −3.00000 | − | 4.00000i | −0.130931 | − | 0.174574i | ||||
\(526\) | −8.00000 | −0.348817 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | − | 5.00000i | − | 0.217597i | ||||||
\(529\) | −58.0000 | −2.52174 | ||||||||
\(530\) | 13.0000 | − | 26.0000i | 0.564684 | − | 1.12937i | ||||
\(531\) | 10.0000 | 0.433963 | ||||||||
\(532\) | 5.00000i | 0.216777i | ||||||||
\(533\) | − | 24.0000i | − | 1.03956i | ||||||
\(534\) | −3.00000 | −0.129823 | ||||||||
\(535\) | 22.0000 | + | 11.0000i | 0.951143 | + | 0.475571i | ||||
\(536\) | 14.0000 | 0.604708 | ||||||||
\(537\) | 16.0000i | 0.690451i | ||||||||
\(538\) | − | 22.0000i | − | 0.948487i | ||||||
\(539\) | −30.0000 | −1.29219 | ||||||||
\(540\) | −2.00000 | − | 1.00000i | −0.0860663 | − | 0.0430331i | ||||
\(541\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(542\) | 25.0000i | 1.07384i | ||||||||
\(543\) | 17.0000i | 0.729540i | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −2.00000 | + | 4.00000i | −0.0856706 | + | 0.171341i | ||||
\(546\) | −4.00000 | −0.171184 | ||||||||
\(547\) | − | 16.0000i | − | 0.684111i | −0.939680 | − | 0.342055i | \(-0.888877\pi\) | ||
0.939680 | − | 0.342055i | \(-0.111123\pi\) | |||||||
\(548\) | 2.00000i | 0.0854358i | ||||||||
\(549\) | 14.0000 | 0.597505 | ||||||||
\(550\) | 20.0000 | − | 15.0000i | 0.852803 | − | 0.639602i | ||||
\(551\) | 10.0000 | 0.426014 | ||||||||
\(552\) | 9.00000i | 0.383065i | ||||||||
\(553\) | 5.00000i | 0.212622i | ||||||||
\(554\) | 2.00000 | 0.0849719 | ||||||||
\(555\) | −8.00000 | + | 16.0000i | −0.339581 | + | 0.679162i | ||||
\(556\) | 16.0000 | 0.678551 | ||||||||
\(557\) | − | 7.00000i | − | 0.296600i | −0.988942 | − | 0.148300i | \(-0.952620\pi\) | ||
0.988942 | − | 0.148300i | \(-0.0473800\pi\) | |||||||
\(558\) | 1.00000i | 0.0423334i | ||||||||
\(559\) | 4.00000 | 0.169182 | ||||||||
\(560\) | 2.00000 | + | 1.00000i | 0.0845154 | + | 0.0422577i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | − | 12.0000i | − | 0.506189i | ||||||
\(563\) | − | 44.0000i | − | 1.85438i | −0.374593 | − | 0.927189i | \(-0.622217\pi\) | ||
0.374593 | − | 0.927189i | \(-0.377783\pi\) | |||||||
\(564\) | 12.0000 | 0.505291 | ||||||||
\(565\) | −26.0000 | − | 13.0000i | −1.09383 | − | 0.546914i | ||||
\(566\) | 26.0000 | 1.09286 | ||||||||
\(567\) | − | 1.00000i | − | 0.0419961i | ||||||
\(568\) | − | 9.00000i | − | 0.377632i | ||||||
\(569\) | 21.0000 | 0.880366 | 0.440183 | − | 0.897908i | \(-0.354914\pi\) | ||||
0.440183 | + | 0.897908i | \(0.354914\pi\) | |||||||
\(570\) | −5.00000 | + | 10.0000i | −0.209427 | + | 0.418854i | ||||
\(571\) | −10.0000 | −0.418487 | −0.209243 | − | 0.977864i | \(-0.567100\pi\) | ||||
−0.209243 | + | 0.977864i | \(0.567100\pi\) | |||||||
\(572\) | − | 20.0000i | − | 0.836242i | ||||||
\(573\) | 8.00000i | 0.334205i | ||||||||
\(574\) | −6.00000 | −0.250435 | ||||||||
\(575\) | −36.0000 | + | 27.0000i | −1.50130 | + | 1.12598i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 2.00000i | 0.0832611i | 0.999133 | + | 0.0416305i | \(0.0132552\pi\) | ||||
−0.999133 | + | 0.0416305i | \(0.986745\pi\) | |||||||
\(578\) | − | 17.0000i | − | 0.707107i | ||||||
\(579\) | 22.0000 | 0.914289 | ||||||||
\(580\) | 2.00000 | − | 4.00000i | 0.0830455 | − | 0.166091i | ||||
\(581\) | 6.00000 | 0.248922 | ||||||||
\(582\) | 18.0000i | 0.746124i | ||||||||
\(583\) | 65.0000i | 2.69202i | ||||||||
\(584\) | 9.00000 | 0.372423 | ||||||||
\(585\) | −8.00000 | − | 4.00000i | −0.330759 | − | 0.165380i | ||||
\(586\) | −14.0000 | −0.578335 | ||||||||
\(587\) | 6.00000i | 0.247647i | 0.992304 | + | 0.123823i | \(0.0395156\pi\) | ||||
−0.992304 | + | 0.123823i | \(0.960484\pi\) | |||||||
\(588\) | − | 6.00000i | − | 0.247436i | ||||||
\(589\) | 5.00000 | 0.206021 | ||||||||
\(590\) | −20.0000 | − | 10.0000i | −0.823387 | − | 0.411693i | ||||
\(591\) | −10.0000 | −0.411345 | ||||||||
\(592\) | − | 8.00000i | − | 0.328798i | ||||||
\(593\) | − | 10.0000i | − | 0.410651i | −0.978694 | − | 0.205325i | \(-0.934175\pi\) | ||
0.978694 | − | 0.205325i | \(-0.0658253\pi\) | |||||||
\(594\) | 5.00000 | 0.205152 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 7.00000 | 0.286731 | ||||||||
\(597\) | 11.0000i | 0.450200i | ||||||||
\(598\) | 36.0000i | 1.47215i | ||||||||
\(599\) | 39.0000 | 1.59350 | 0.796748 | − | 0.604311i | \(-0.206552\pi\) | ||||
0.796748 | + | 0.604311i | \(0.206552\pi\) | |||||||
\(600\) | 3.00000 | + | 4.00000i | 0.122474 | + | 0.163299i | ||||
\(601\) | −12.0000 | −0.489490 | −0.244745 | − | 0.969587i | \(-0.578704\pi\) | ||||
−0.244745 | + | 0.969587i | \(0.578704\pi\) | |||||||
\(602\) | − | 1.00000i | − | 0.0407570i | ||||||
\(603\) | 14.0000i | 0.570124i | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −14.0000 | + | 28.0000i | −0.569181 | + | 1.13836i | ||||
\(606\) | −7.00000 | −0.284356 | ||||||||
\(607\) | − | 13.0000i | − | 0.527654i | −0.964570 | − | 0.263827i | \(-0.915015\pi\) | ||
0.964570 | − | 0.263827i | \(-0.0849848\pi\) | |||||||
\(608\) | − | 5.00000i | − | 0.202777i | ||||||
\(609\) | 2.00000 | 0.0810441 | ||||||||
\(610\) | −28.0000 | − | 14.0000i | −1.13369 | − | 0.566843i | ||||
\(611\) | 48.0000 | 1.94187 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.00000i | 0.161558i | 0.996732 | + | 0.0807792i | \(0.0257409\pi\) | ||||
−0.996732 | + | 0.0807792i | \(0.974259\pi\) | |||||||
\(614\) | 8.00000 | 0.322854 | ||||||||
\(615\) | −12.0000 | − | 6.00000i | −0.483887 | − | 0.241943i | ||||
\(616\) | −5.00000 | −0.201456 | ||||||||
\(617\) | − | 9.00000i | − | 0.362326i | −0.983453 | − | 0.181163i | \(-0.942014\pi\) | ||
0.983453 | − | 0.181163i | \(-0.0579862\pi\) | |||||||
\(618\) | 8.00000i | 0.321807i | ||||||||
\(619\) | −16.0000 | −0.643094 | −0.321547 | − | 0.946894i | \(-0.604203\pi\) | ||||
−0.321547 | + | 0.946894i | \(0.604203\pi\) | |||||||
\(620\) | 1.00000 | − | 2.00000i | 0.0401610 | − | 0.0803219i | ||||
\(621\) | −9.00000 | −0.361158 | ||||||||
\(622\) | 8.00000i | 0.320771i | ||||||||
\(623\) | 3.00000i | 0.120192i | ||||||||
\(624\) | 4.00000 | 0.160128 | ||||||||
\(625\) | −7.00000 | + | 24.0000i | −0.280000 | + | 0.960000i | ||||
\(626\) | 6.00000 | 0.239808 | ||||||||
\(627\) | − | 25.0000i | − | 0.998404i | ||||||
\(628\) | 13.0000i | 0.518756i | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | −1.00000 | + | 2.00000i | −0.0398410 | + | 0.0796819i | ||||
\(631\) | 31.0000 | 1.23409 | 0.617045 | − | 0.786928i | \(-0.288330\pi\) | ||||
0.617045 | + | 0.786928i | \(0.288330\pi\) | |||||||
\(632\) | − | 5.00000i | − | 0.198889i | ||||||
\(633\) | − | 13.0000i | − | 0.516704i | ||||||
\(634\) | −34.0000 | −1.35031 | ||||||||
\(635\) | 40.0000 | + | 20.0000i | 1.58735 | + | 0.793676i | ||||
\(636\) | −13.0000 | −0.515484 | ||||||||
\(637\) | − | 24.0000i | − | 0.950915i | ||||||
\(638\) | 10.0000i | 0.395904i | ||||||||
\(639\) | 9.00000 | 0.356034 | ||||||||
\(640\) | −2.00000 | − | 1.00000i | −0.0790569 | − | 0.0395285i | ||||
\(641\) | −2.00000 | −0.0789953 | −0.0394976 | − | 0.999220i | \(-0.512576\pi\) | ||||
−0.0394976 | + | 0.999220i | \(0.512576\pi\) | |||||||
\(642\) | − | 11.0000i | − | 0.434135i | ||||||
\(643\) | − | 5.00000i | − | 0.197181i | −0.995128 | − | 0.0985904i | \(-0.968567\pi\) | ||
0.995128 | − | 0.0985904i | \(-0.0314334\pi\) | |||||||
\(644\) | 9.00000 | 0.354650 | ||||||||
\(645\) | 1.00000 | − | 2.00000i | 0.0393750 | − | 0.0787499i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | − | 5.00000i | − | 0.196570i | −0.995158 | − | 0.0982851i | \(-0.968664\pi\) | ||
0.995158 | − | 0.0982851i | \(-0.0313357\pi\) | |||||||
\(648\) | 1.00000i | 0.0392837i | ||||||||
\(649\) | 50.0000 | 1.96267 | ||||||||
\(650\) | 12.0000 | + | 16.0000i | 0.470679 | + | 0.627572i | ||||
\(651\) | 1.00000 | 0.0391931 | ||||||||
\(652\) | − | 4.00000i | − | 0.156652i | ||||||
\(653\) | 18.0000i | 0.704394i | 0.935926 | + | 0.352197i | \(0.114565\pi\) | ||||
−0.935926 | + | 0.352197i | \(0.885435\pi\) | |||||||
\(654\) | 2.00000 | 0.0782062 | ||||||||
\(655\) | 6.00000 | − | 12.0000i | 0.234439 | − | 0.468879i | ||||
\(656\) | 6.00000 | 0.234261 | ||||||||
\(657\) | 9.00000i | 0.351123i | ||||||||
\(658\) | − | 12.0000i | − | 0.467809i | ||||||
\(659\) | −30.0000 | −1.16863 | −0.584317 | − | 0.811525i | \(-0.698638\pi\) | ||||
−0.584317 | + | 0.811525i | \(0.698638\pi\) | |||||||
\(660\) | −10.0000 | − | 5.00000i | −0.389249 | − | 0.194625i | ||||
\(661\) | 28.0000 | 1.08907 | 0.544537 | − | 0.838737i | \(-0.316705\pi\) | ||||
0.544537 | + | 0.838737i | \(0.316705\pi\) | |||||||
\(662\) | 24.0000i | 0.932786i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −6.00000 | −0.232845 | ||||||||
\(665\) | 10.0000 | + | 5.00000i | 0.387783 | + | 0.193892i | ||||
\(666\) | 8.00000 | 0.309994 | ||||||||
\(667\) | − | 18.0000i | − | 0.696963i | ||||||
\(668\) | − | 9.00000i | − | 0.348220i | ||||||
\(669\) | −16.0000 | −0.618596 | ||||||||
\(670\) | 14.0000 | − | 28.0000i | 0.540867 | − | 1.08173i | ||||
\(671\) | 70.0000 | 2.70232 | ||||||||
\(672\) | − | 1.00000i | − | 0.0385758i | ||||||
\(673\) | 38.0000i | 1.46479i | 0.680879 | + | 0.732396i | \(0.261598\pi\) | ||||
−0.680879 | + | 0.732396i | \(0.738402\pi\) | |||||||
\(674\) | −2.00000 | −0.0770371 | ||||||||
\(675\) | −4.00000 | + | 3.00000i | −0.153960 | + | 0.115470i | ||||
\(676\) | 3.00000 | 0.115385 | ||||||||
\(677\) | − | 51.0000i | − | 1.96009i | −0.198778 | − | 0.980045i | \(-0.563697\pi\) | ||
0.198778 | − | 0.980045i | \(-0.436303\pi\) | |||||||
\(678\) | 13.0000i | 0.499262i | ||||||||
\(679\) | 18.0000 | 0.690777 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 15.0000 | 0.574801 | ||||||||
\(682\) | 5.00000i | 0.191460i | ||||||||
\(683\) | 3.00000i | 0.114792i | 0.998351 | + | 0.0573959i | \(0.0182797\pi\) | ||||
−0.998351 | + | 0.0573959i | \(0.981720\pi\) | |||||||
\(684\) | 5.00000 | 0.191180 | ||||||||
\(685\) | 4.00000 | + | 2.00000i | 0.152832 | + | 0.0764161i | ||||
\(686\) | −13.0000 | −0.496342 | ||||||||
\(687\) | 19.0000i | 0.724895i | ||||||||
\(688\) | 1.00000i | 0.0381246i | ||||||||
\(689\) | −52.0000 | −1.98104 | ||||||||
\(690\) | 18.0000 | + | 9.00000i | 0.685248 | + | 0.342624i | ||||
\(691\) | 27.0000 | 1.02713 | 0.513564 | − | 0.858051i | \(-0.328325\pi\) | ||||
0.513564 | + | 0.858051i | \(0.328325\pi\) | |||||||
\(692\) | 6.00000i | 0.228086i | ||||||||
\(693\) | − | 5.00000i | − | 0.189934i | ||||||
\(694\) | 18.0000 | 0.683271 | ||||||||
\(695\) | 16.0000 | − | 32.0000i | 0.606915 | − | 1.21383i | ||||
\(696\) | −2.00000 | −0.0758098 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 4.00000i | 0.151402i | ||||||||
\(699\) | 1.00000 | 0.0378235 | ||||||||
\(700\) | 4.00000 | − | 3.00000i | 0.151186 | − | 0.113389i | ||||
\(701\) | 29.0000 | 1.09531 | 0.547657 | − | 0.836703i | \(-0.315520\pi\) | ||||
0.547657 | + | 0.836703i | \(0.315520\pi\) | |||||||
\(702\) | 4.00000i | 0.150970i | ||||||||
\(703\) | − | 40.0000i | − | 1.50863i | ||||||
\(704\) | 5.00000 | 0.188445 | ||||||||
\(705\) | 12.0000 | − | 24.0000i | 0.451946 | − | 0.903892i | ||||
\(706\) | −4.00000 | −0.150542 | ||||||||
\(707\) | 7.00000i | 0.263262i | ||||||||
\(708\) | 10.0000i | 0.375823i | ||||||||
\(709\) | 17.0000 | 0.638448 | 0.319224 | − | 0.947679i | \(-0.396578\pi\) | ||||
0.319224 | + | 0.947679i | \(0.396578\pi\) | |||||||
\(710\) | −18.0000 | − | 9.00000i | −0.675528 | − | 0.337764i | ||||
\(711\) | 5.00000 | 0.187515 | ||||||||
\(712\) | − | 3.00000i | − | 0.112430i | ||||||
\(713\) | − | 9.00000i | − | 0.337053i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −40.0000 | − | 20.0000i | −1.49592 | − | 0.747958i | ||||
\(716\) | −16.0000 | −0.597948 | ||||||||
\(717\) | 6.00000i | 0.224074i | ||||||||
\(718\) | − | 9.00000i | − | 0.335877i | ||||||
\(719\) | 30.0000 | 1.11881 | 0.559406 | − | 0.828894i | \(-0.311029\pi\) | ||||
0.559406 | + | 0.828894i | \(0.311029\pi\) | |||||||
\(720\) | 1.00000 | − | 2.00000i | 0.0372678 | − | 0.0745356i | ||||
\(721\) | 8.00000 | 0.297936 | ||||||||
\(722\) | − | 6.00000i | − | 0.223297i | ||||||
\(723\) | 24.0000i | 0.892570i | ||||||||
\(724\) | −17.0000 | −0.631800 | ||||||||
\(725\) | −6.00000 | − | 8.00000i | −0.222834 | − | 0.297113i | ||||
\(726\) | 14.0000 | 0.519589 | ||||||||
\(727\) | − | 1.00000i | − | 0.0370879i | −0.999828 | − | 0.0185440i | \(-0.994097\pi\) | ||
0.999828 | − | 0.0185440i | \(-0.00590307\pi\) | |||||||
\(728\) | − | 4.00000i | − | 0.148250i | ||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 9.00000 | − | 18.0000i | 0.333105 | − | 0.666210i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 14.0000i | 0.517455i | ||||||||
\(733\) | − | 14.0000i | − | 0.517102i | −0.965998 | − | 0.258551i | \(-0.916755\pi\) | ||
0.965998 | − | 0.258551i | \(-0.0832450\pi\) | |||||||
\(734\) | −18.0000 | −0.664392 | ||||||||
\(735\) | −12.0000 | − | 6.00000i | −0.442627 | − | 0.221313i | ||||
\(736\) | −9.00000 | −0.331744 | ||||||||
\(737\) | 70.0000i | 2.57848i | ||||||||
\(738\) | 6.00000i | 0.220863i | ||||||||
\(739\) | −10.0000 | −0.367856 | −0.183928 | − | 0.982940i | \(-0.558881\pi\) | ||||
−0.183928 | + | 0.982940i | \(0.558881\pi\) | |||||||
\(740\) | −16.0000 | − | 8.00000i | −0.588172 | − | 0.294086i | ||||
\(741\) | 20.0000 | 0.734718 | ||||||||
\(742\) | 13.0000i | 0.477245i | ||||||||
\(743\) | − | 43.0000i | − | 1.57752i | −0.614703 | − | 0.788759i | \(-0.710724\pi\) | ||
0.614703 | − | 0.788759i | \(-0.289276\pi\) | |||||||
\(744\) | −1.00000 | −0.0366618 | ||||||||
\(745\) | 7.00000 | − | 14.0000i | 0.256460 | − | 0.512920i | ||||
\(746\) | 1.00000 | 0.0366126 | ||||||||
\(747\) | − | 6.00000i | − | 0.219529i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −11.0000 | −0.401931 | ||||||||
\(750\) | 11.0000 | − | 2.00000i | 0.401663 | − | 0.0730297i | ||||
\(751\) | 18.0000 | 0.656829 | 0.328415 | − | 0.944534i | \(-0.393486\pi\) | ||||
0.328415 | + | 0.944534i | \(0.393486\pi\) | |||||||
\(752\) | 12.0000i | 0.437595i | ||||||||
\(753\) | − | 28.0000i | − | 1.02038i | ||||||
\(754\) | −8.00000 | −0.291343 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 1.00000 | 0.0363696 | ||||||||
\(757\) | 20.0000i | 0.726912i | 0.931611 | + | 0.363456i | \(0.118403\pi\) | ||||
−0.931611 | + | 0.363456i | \(0.881597\pi\) | |||||||
\(758\) | − | 11.0000i | − | 0.399538i | ||||||
\(759\) | −45.0000 | −1.63340 | ||||||||
\(760\) | −10.0000 | − | 5.00000i | −0.362738 | − | 0.181369i | ||||
\(761\) | 15.0000 | 0.543750 | 0.271875 | − | 0.962333i | \(-0.412356\pi\) | ||||
0.271875 | + | 0.962333i | \(0.412356\pi\) | |||||||
\(762\) | − | 20.0000i | − | 0.724524i | ||||||
\(763\) | − | 2.00000i | − | 0.0724049i | ||||||
\(764\) | −8.00000 | −0.289430 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 12.0000 | 0.433578 | ||||||||
\(767\) | 40.0000i | 1.44432i | ||||||||
\(768\) | 1.00000i | 0.0360844i | ||||||||
\(769\) | 35.0000 | 1.26213 | 0.631066 | − | 0.775729i | \(-0.282618\pi\) | ||||
0.631066 | + | 0.775729i | \(0.282618\pi\) | |||||||
\(770\) | −5.00000 | + | 10.0000i | −0.180187 | + | 0.360375i | ||||
\(771\) | −7.00000 | −0.252099 | ||||||||
\(772\) | 22.0000i | 0.791797i | ||||||||
\(773\) | − | 27.0000i | − | 0.971123i | −0.874203 | − | 0.485561i | \(-0.838615\pi\) | ||
0.874203 | − | 0.485561i | \(-0.161385\pi\) | |||||||
\(774\) | −1.00000 | −0.0359443 | ||||||||
\(775\) | −3.00000 | − | 4.00000i | −0.107763 | − | 0.143684i | ||||
\(776\) | −18.0000 | −0.646162 | ||||||||
\(777\) | − | 8.00000i | − | 0.286998i | ||||||
\(778\) | − | 16.0000i | − | 0.573628i | ||||||
\(779\) | 30.0000 | 1.07486 | ||||||||
\(780\) | 4.00000 | − | 8.00000i | 0.143223 | − | 0.286446i | ||||
\(781\) | 45.0000 | 1.61023 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 2.00000i | − | 0.0714742i | ||||||
\(784\) | 6.000 |