Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(5,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.l (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: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Root | \(1.73109 - 0.0577511i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.5 |
Dual form | 126.2.l.a.101.5 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | −0.890915 | + | 1.48535i | −0.514370 | + | 0.857568i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 1.14095 | + | 1.97618i | 0.510248 | + | 0.883776i | 0.999929 | + | 0.0118746i | \(0.00377989\pi\) |
−0.489681 | + | 0.871902i | \(0.662887\pi\) | |||||||
\(6\) | 1.48535 | + | 0.890915i | 0.606392 | + | 0.363715i | ||||
\(7\) | 1.42337 | + | 2.23025i | 0.537984 | + | 0.842955i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −1.41254 | − | 2.64665i | −0.470846 | − | 0.882215i | ||||
\(10\) | 1.97618 | − | 1.14095i | 0.624924 | − | 0.360800i | ||||
\(11\) | −0.946590 | − | 0.546514i | −0.285408 | − | 0.164780i | 0.350461 | − | 0.936577i | \(-0.386025\pi\) |
−0.635869 | + | 0.771797i | \(0.719358\pi\) | |||||||
\(12\) | 0.890915 | − | 1.48535i | 0.257185 | − | 0.428784i | ||||
\(13\) | 5.91448 | + | 3.41473i | 1.64038 | + | 0.947075i | 0.980697 | + | 0.195533i | \(0.0626436\pi\) |
0.659685 | + | 0.751542i | \(0.270690\pi\) | |||||||
\(14\) | 2.23025 | − | 1.42337i | 0.596059 | − | 0.380412i | ||||
\(15\) | −3.95182 | − | 0.0659003i | −1.02036 | − | 0.0170154i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −3.35863 | − | 5.81732i | −0.814588 | − | 1.41091i | −0.909623 | − | 0.415434i | \(-0.863630\pi\) |
0.0950352 | − | 0.995474i | \(-0.469704\pi\) | |||||||
\(18\) | −2.64665 | + | 1.41254i | −0.623820 | + | 0.332939i | ||||
\(19\) | −2.47987 | − | 1.43175i | −0.568922 | − | 0.328467i | 0.187797 | − | 0.982208i | \(-0.439865\pi\) |
−0.756718 | + | 0.653741i | \(0.773199\pi\) | |||||||
\(20\) | −1.14095 | − | 1.97618i | −0.255124 | − | 0.441888i | ||||
\(21\) | −4.58081 | + | 0.127243i | −0.999614 | + | 0.0277668i | ||||
\(22\) | −0.546514 | + | 0.946590i | −0.116517 | + | 0.201814i | ||||
\(23\) | −3.38264 | + | 1.95297i | −0.705328 | + | 0.407221i | −0.809329 | − | 0.587356i | \(-0.800169\pi\) |
0.104001 | + | 0.994577i | \(0.466836\pi\) | |||||||
\(24\) | −1.48535 | − | 0.890915i | −0.303196 | − | 0.181857i | ||||
\(25\) | −0.103535 | + | 0.179327i | −0.0207069 | + | 0.0358655i | ||||
\(26\) | 3.41473 | − | 5.91448i | 0.669683 | − | 1.15993i | ||||
\(27\) | 5.18965 | + | 0.259820i | 0.998749 | + | 0.0500023i | ||||
\(28\) | −1.42337 | − | 2.23025i | −0.268992 | − | 0.421478i | ||||
\(29\) | 1.59933 | − | 0.923371i | 0.296987 | − | 0.171466i | −0.344101 | − | 0.938933i | \(-0.611816\pi\) |
0.641089 | + | 0.767467i | \(0.278483\pi\) | |||||||
\(30\) | −0.0659003 | + | 3.95182i | −0.0120317 | + | 0.721500i | ||||
\(31\) | 2.02166i | 0.363102i | 0.983382 | + | 0.181551i | \(0.0581117\pi\) | ||||
−0.983382 | + | 0.181551i | \(0.941888\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 1.65510 | − | 0.919121i | 0.288115 | − | 0.159998i | ||||
\(34\) | −5.81732 | + | 3.35863i | −0.997663 | + | 0.576001i | ||||
\(35\) | −2.78339 | + | 5.35745i | −0.470478 | + | 0.905574i | ||||
\(36\) | 1.41254 | + | 2.64665i | 0.235423 | + | 0.441108i | ||||
\(37\) | 3.57920 | − | 6.19935i | 0.588416 | − | 1.01917i | −0.406024 | − | 0.913863i | \(-0.633085\pi\) |
0.994440 | − | 0.105305i | \(-0.0335818\pi\) | |||||||
\(38\) | −1.43175 | + | 2.47987i | −0.232261 | + | 0.402288i | ||||
\(39\) | −10.3414 | + | 5.74285i | −1.65595 | + | 0.919592i | ||||
\(40\) | −1.97618 | + | 1.14095i | −0.312462 | + | 0.180400i | ||||
\(41\) | 2.45515 | − | 4.25245i | 0.383431 | − | 0.664121i | −0.608120 | − | 0.793845i | \(-0.708076\pi\) |
0.991550 | + | 0.129724i | \(0.0414092\pi\) | |||||||
\(42\) | 0.127243 | + | 4.58081i | 0.0196341 | + | 0.706834i | ||||
\(43\) | −3.74246 | − | 6.48214i | −0.570721 | − | 0.988517i | −0.996492 | − | 0.0836863i | \(-0.973331\pi\) |
0.425772 | − | 0.904831i | \(-0.360003\pi\) | |||||||
\(44\) | 0.946590 | + | 0.546514i | 0.142704 | + | 0.0823901i | ||||
\(45\) | 3.61862 | − | 5.81113i | 0.539432 | − | 0.866272i | ||||
\(46\) | 1.95297 | + | 3.38264i | 0.287949 | + | 0.498742i | ||||
\(47\) | 6.80349 | 0.992391 | 0.496195 | − | 0.868211i | \(-0.334730\pi\) | ||||
0.496195 | + | 0.868211i | \(0.334730\pi\) | |||||||
\(48\) | −0.890915 | + | 1.48535i | −0.128593 | + | 0.214392i | ||||
\(49\) | −2.94803 | + | 6.34895i | −0.421147 | + | 0.906992i | ||||
\(50\) | 0.179327 | + | 0.103535i | 0.0253607 | + | 0.0146420i | ||||
\(51\) | 11.6330 | + | 0.193992i | 1.62895 | + | 0.0271643i | ||||
\(52\) | −5.91448 | − | 3.41473i | −0.820191 | − | 0.473538i | ||||
\(53\) | 0.222069 | − | 0.128212i | 0.0305036 | − | 0.0176112i | −0.484671 | − | 0.874697i | \(-0.661061\pi\) |
0.515174 | + | 0.857085i | \(0.327727\pi\) | |||||||
\(54\) | 0.259820 | − | 5.18965i | 0.0353570 | − | 0.706222i | ||||
\(55\) | − | 2.49418i | − | 0.336315i | ||||||
\(56\) | −2.23025 | + | 1.42337i | −0.298030 | + | 0.190206i | ||||
\(57\) | 4.33601 | − | 2.40791i | 0.574319 | − | 0.318935i | ||||
\(58\) | −0.923371 | − | 1.59933i | −0.121245 | − | 0.210002i | ||||
\(59\) | 1.94202 | 0.252829 | 0.126415 | − | 0.991977i | \(-0.459653\pi\) | ||||
0.126415 | + | 0.991977i | \(0.459653\pi\) | |||||||
\(60\) | 3.95182 | + | 0.0659003i | 0.510178 | + | 0.00850769i | ||||
\(61\) | 1.33154i | 0.170486i | 0.996360 | + | 0.0852432i | \(0.0271667\pi\) | ||||
−0.996360 | + | 0.0852432i | \(0.972833\pi\) | |||||||
\(62\) | 2.02166 | 0.256752 | ||||||||
\(63\) | 3.89211 | − | 6.91748i | 0.490360 | − | 0.871520i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 15.5841i | 1.93297i | ||||||||
\(66\) | −0.919121 | − | 1.65510i | −0.113136 | − | 0.203728i | ||||
\(67\) | 5.09918 | 0.622964 | 0.311482 | − | 0.950252i | \(-0.399175\pi\) | ||||
0.311482 | + | 0.950252i | \(0.399175\pi\) | |||||||
\(68\) | 3.35863 | + | 5.81732i | 0.407294 | + | 0.705454i | ||||
\(69\) | 0.112802 | − | 6.76433i | 0.0135797 | − | 0.814330i | ||||
\(70\) | 5.35745 | + | 2.78339i | 0.640337 | + | 0.332678i | ||||
\(71\) | − | 0.233507i | − | 0.0277121i | −0.999904 | − | 0.0138561i | \(-0.995589\pi\) | ||
0.999904 | − | 0.0138561i | \(-0.00441066\pi\) | |||||||
\(72\) | 2.64665 | − | 1.41254i | 0.311910 | − | 0.166469i | ||||
\(73\) | 5.89272 | − | 3.40216i | 0.689690 | − | 0.398193i | −0.113806 | − | 0.993503i | \(-0.536304\pi\) |
0.803496 | + | 0.595310i | \(0.202971\pi\) | |||||||
\(74\) | −6.19935 | − | 3.57920i | −0.720660 | − | 0.416073i | ||||
\(75\) | −0.174124 | − | 0.313551i | −0.0201061 | − | 0.0362058i | ||||
\(76\) | 2.47987 | + | 1.43175i | 0.284461 | + | 0.164233i | ||||
\(77\) | −0.128486 | − | 2.88902i | −0.0146424 | − | 0.329235i | ||||
\(78\) | 5.74285 | + | 10.3414i | 0.650250 | + | 1.17093i | ||||
\(79\) | −7.27248 | −0.818218 | −0.409109 | − | 0.912485i | \(-0.634161\pi\) | ||||
−0.409109 | + | 0.912485i | \(0.634161\pi\) | |||||||
\(80\) | 1.14095 | + | 1.97618i | 0.127562 | + | 0.220944i | ||||
\(81\) | −5.00947 | + | 7.47698i | −0.556607 | + | 0.830776i | ||||
\(82\) | −4.25245 | − | 2.45515i | −0.469605 | − | 0.271126i | ||||
\(83\) | −2.91353 | − | 5.04638i | −0.319801 | − | 0.553912i | 0.660645 | − | 0.750698i | \(-0.270283\pi\) |
−0.980446 | + | 0.196786i | \(0.936950\pi\) | |||||||
\(84\) | 4.58081 | − | 0.127243i | 0.499807 | − | 0.0138834i | ||||
\(85\) | 7.66407 | − | 13.2746i | 0.831285 | − | 1.43983i | ||||
\(86\) | −6.48214 | + | 3.74246i | −0.698987 | + | 0.403560i | ||||
\(87\) | −0.0533331 | + | 3.19821i | −0.00571791 | + | 0.342884i | ||||
\(88\) | 0.546514 | − | 0.946590i | 0.0582586 | − | 0.100907i | ||||
\(89\) | −8.99707 | + | 15.5834i | −0.953687 | + | 1.65184i | −0.216344 | + | 0.976317i | \(0.569413\pi\) |
−0.737344 | + | 0.675518i | \(0.763920\pi\) | |||||||
\(90\) | −5.81113 | − | 3.61862i | −0.612547 | − | 0.381436i | ||||
\(91\) | 0.802809 | + | 18.0512i | 0.0841573 | + | 1.89228i | ||||
\(92\) | 3.38264 | − | 1.95297i | 0.352664 | − | 0.203611i | ||||
\(93\) | −3.00288 | − | 1.80113i | −0.311384 | − | 0.186769i | ||||
\(94\) | − | 6.80349i | − | 0.701726i | ||||||
\(95\) | − | 6.53424i | − | 0.670399i | ||||||
\(96\) | 1.48535 | + | 0.890915i | 0.151598 | + | 0.0909287i | ||||
\(97\) | −4.13903 | + | 2.38967i | −0.420255 | + | 0.242634i | −0.695186 | − | 0.718830i | \(-0.744678\pi\) |
0.274931 | + | 0.961464i | \(0.411345\pi\) | |||||||
\(98\) | 6.34895 | + | 2.94803i | 0.641341 | + | 0.297796i | ||||
\(99\) | −0.109333 | + | 3.27726i | −0.0109884 | + | 0.329377i | ||||
\(100\) | 0.103535 | − | 0.179327i | 0.0103535 | − | 0.0179327i | ||||
\(101\) | −5.22981 | + | 9.05829i | −0.520385 | + | 0.901334i | 0.479334 | + | 0.877633i | \(0.340878\pi\) |
−0.999719 | + | 0.0237012i | \(0.992455\pi\) | |||||||
\(102\) | 0.193992 | − | 11.6330i | 0.0192080 | − | 1.15184i | ||||
\(103\) | −11.0398 | + | 6.37383i | −1.08778 | + | 0.628033i | −0.932986 | − | 0.359914i | \(-0.882806\pi\) |
−0.154799 | + | 0.987946i | \(0.549473\pi\) | |||||||
\(104\) | −3.41473 | + | 5.91448i | −0.334842 | + | 0.579963i | ||||
\(105\) | −5.47793 | − | 8.90734i | −0.534591 | − | 0.869268i | ||||
\(106\) | −0.128212 | − | 0.222069i | −0.0124530 | − | 0.0215693i | ||||
\(107\) | 8.25865 | + | 4.76813i | 0.798394 | + | 0.460953i | 0.842909 | − | 0.538056i | \(-0.180841\pi\) |
−0.0445153 | + | 0.999009i | \(0.514174\pi\) | |||||||
\(108\) | −5.18965 | − | 0.259820i | −0.499375 | − | 0.0250012i | ||||
\(109\) | −2.88251 | − | 4.99266i | −0.276095 | − | 0.478210i | 0.694316 | − | 0.719670i | \(-0.255707\pi\) |
−0.970411 | + | 0.241460i | \(0.922374\pi\) | |||||||
\(110\) | −2.49418 | −0.237811 | ||||||||
\(111\) | 6.01946 | + | 10.8395i | 0.571341 | + | 1.02884i | ||||
\(112\) | 1.42337 | + | 2.23025i | 0.134496 | + | 0.210739i | ||||
\(113\) | −10.3333 | − | 5.96592i | −0.972073 | − | 0.561227i | −0.0722053 | − | 0.997390i | \(-0.523004\pi\) |
−0.899868 | + | 0.436163i | \(0.856337\pi\) | |||||||
\(114\) | −2.40791 | − | 4.33601i | −0.225521 | − | 0.406105i | ||||
\(115\) | −7.71884 | − | 4.45647i | −0.719785 | − | 0.415568i | ||||
\(116\) | −1.59933 | + | 0.923371i | −0.148494 | + | 0.0857329i | ||||
\(117\) | 0.683135 | − | 20.4770i | 0.0631559 | − | 1.89310i | ||||
\(118\) | − | 1.94202i | − | 0.178777i | ||||||
\(119\) | 8.19350 | − | 15.7708i | 0.751097 | − | 1.44571i | ||||
\(120\) | 0.0659003 | − | 3.95182i | 0.00601584 | − | 0.360750i | ||||
\(121\) | −4.90265 | − | 8.49163i | −0.445695 | − | 0.771966i | ||||
\(122\) | 1.33154 | 0.120552 | ||||||||
\(123\) | 4.12905 | + | 7.43534i | 0.372304 | + | 0.670422i | ||||
\(124\) | − | 2.02166i | − | 0.181551i | ||||||
\(125\) | 10.9370 | 0.978234 | ||||||||
\(126\) | −6.91748 | − | 3.89211i | −0.616258 | − | 0.346737i | ||||
\(127\) | −10.9133 | −0.968400 | −0.484200 | − | 0.874957i | \(-0.660889\pi\) | ||||
−0.484200 | + | 0.874957i | \(0.660889\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 12.9625 | + | 0.216161i | 1.14128 | + | 0.0190320i | ||||
\(130\) | 15.5841 | 1.36682 | ||||||||
\(131\) | 0.989677 | + | 1.71417i | 0.0864684 | + | 0.149768i | 0.906016 | − | 0.423243i | \(-0.139108\pi\) |
−0.819548 | + | 0.573011i | \(0.805775\pi\) | |||||||
\(132\) | −1.65510 | + | 0.919121i | −0.144058 | + | 0.0799992i | ||||
\(133\) | −0.336608 | − | 7.56865i | −0.0291876 | − | 0.656285i | ||||
\(134\) | − | 5.09918i | − | 0.440502i | ||||||
\(135\) | 5.40768 | + | 10.5521i | 0.465419 | + | 0.908184i | ||||
\(136\) | 5.81732 | − | 3.35863i | 0.498831 | − | 0.288000i | ||||
\(137\) | 2.86923 | + | 1.65655i | 0.245135 | + | 0.141528i | 0.617534 | − | 0.786544i | \(-0.288132\pi\) |
−0.372400 | + | 0.928072i | \(0.621465\pi\) | |||||||
\(138\) | −6.76433 | − | 0.112802i | −0.575818 | − | 0.00960230i | ||||
\(139\) | −3.00698 | − | 1.73608i | −0.255048 | − | 0.147252i | 0.367025 | − | 0.930211i | \(-0.380376\pi\) |
−0.622074 | + | 0.782959i | \(0.713710\pi\) | |||||||
\(140\) | 2.78339 | − | 5.35745i | 0.235239 | − | 0.452787i | ||||
\(141\) | −6.06133 | + | 10.1056i | −0.510456 | + | 0.851043i | ||||
\(142\) | −0.233507 | −0.0195954 | ||||||||
\(143\) | −3.73239 | − | 6.46469i | −0.312118 | − | 0.540605i | ||||
\(144\) | −1.41254 | − | 2.64665i | −0.117712 | − | 0.220554i | ||||
\(145\) | 3.64950 | + | 2.10704i | 0.303075 | + | 0.174980i | ||||
\(146\) | −3.40216 | − | 5.89272i | −0.281565 | − | 0.487685i | ||||
\(147\) | −6.80398 | − | 10.0352i | −0.561183 | − | 0.827692i | ||||
\(148\) | −3.57920 | + | 6.19935i | −0.294208 | + | 0.509584i | ||||
\(149\) | −11.5534 | + | 6.67036i | −0.946492 | + | 0.546457i | −0.891989 | − | 0.452056i | \(-0.850691\pi\) |
−0.0545027 | + | 0.998514i | \(0.517357\pi\) | |||||||
\(150\) | −0.313551 | + | 0.174124i | −0.0256013 | + | 0.0142171i | ||||
\(151\) | 2.66995 | − | 4.62450i | 0.217278 | − | 0.376336i | −0.736697 | − | 0.676223i | \(-0.763616\pi\) |
0.953975 | + | 0.299887i | \(0.0969489\pi\) | |||||||
\(152\) | 1.43175 | − | 2.47987i | 0.116131 | − | 0.201144i | ||||
\(153\) | −10.6522 | + | 17.1063i | −0.861179 | + | 1.38296i | ||||
\(154\) | −2.88902 | + | 0.128486i | −0.232804 | + | 0.0103537i | ||||
\(155\) | −3.99518 | + | 2.30662i | −0.320901 | + | 0.185272i | ||||
\(156\) | 10.3414 | − | 5.74285i | 0.827973 | − | 0.459796i | ||||
\(157\) | 17.6673i | 1.41000i | 0.709206 | + | 0.705002i | \(0.249054\pi\) | ||||
−0.709206 | + | 0.705002i | \(0.750946\pi\) | |||||||
\(158\) | 7.27248i | 0.578568i | ||||||||
\(159\) | −0.00740540 | + | 0.444077i | −0.000587286 | + | 0.0352176i | ||||
\(160\) | 1.97618 | − | 1.14095i | 0.156231 | − | 0.0902000i | ||||
\(161\) | −9.17035 | − | 4.76433i | −0.722725 | − | 0.375481i | ||||
\(162\) | 7.47698 | + | 5.00947i | 0.587447 | + | 0.393581i | ||||
\(163\) | 7.94915 | − | 13.7683i | 0.622625 | − | 1.07842i | −0.366370 | − | 0.930469i | \(-0.619400\pi\) |
0.988995 | − | 0.147949i | \(-0.0472672\pi\) | |||||||
\(164\) | −2.45515 | + | 4.25245i | −0.191715 | + | 0.332061i | ||||
\(165\) | 3.70474 | + | 2.22210i | 0.288413 | + | 0.172991i | ||||
\(166\) | −5.04638 | + | 2.91353i | −0.391675 | + | 0.226134i | ||||
\(167\) | 2.85878 | − | 4.95155i | 0.221219 | − | 0.383163i | −0.733959 | − | 0.679193i | \(-0.762330\pi\) |
0.955178 | + | 0.296031i | \(0.0956631\pi\) | |||||||
\(168\) | −0.127243 | − | 4.58081i | −0.00981703 | − | 0.353417i | ||||
\(169\) | 16.8207 | + | 29.1344i | 1.29390 | + | 2.24110i | ||||
\(170\) | −13.2746 | − | 7.66407i | −1.01811 | − | 0.587807i | ||||
\(171\) | −0.286431 | + | 8.58575i | −0.0219039 | + | 0.656569i | ||||
\(172\) | 3.74246 | + | 6.48214i | 0.285360 | + | 0.494258i | ||||
\(173\) | 15.2052 | 1.15603 | 0.578013 | − | 0.816027i | \(-0.303828\pi\) | ||||
0.578013 | + | 0.816027i | \(0.303828\pi\) | |||||||
\(174\) | 3.19821 | + | 0.0533331i | 0.242456 | + | 0.00404317i | ||||
\(175\) | −0.547313 | + | 0.0243412i | −0.0413730 | + | 0.00184002i | ||||
\(176\) | −0.946590 | − | 0.546514i | −0.0713519 | − | 0.0411950i | ||||
\(177\) | −1.73017 | + | 2.88458i | −0.130048 | + | 0.216818i | ||||
\(178\) | 15.5834 | + | 8.99707i | 1.16802 | + | 0.674359i | ||||
\(179\) | 3.51582 | − | 2.02986i | 0.262785 | − | 0.151719i | −0.362819 | − | 0.931859i | \(-0.618186\pi\) |
0.625604 | + | 0.780141i | \(0.284852\pi\) | |||||||
\(180\) | −3.61862 | + | 5.81113i | −0.269716 | + | 0.433136i | ||||
\(181\) | − | 3.68452i | − | 0.273869i | −0.990580 | − | 0.136934i | \(-0.956275\pi\) | ||
0.990580 | − | 0.136934i | \(-0.0437249\pi\) | |||||||
\(182\) | 18.0512 | − | 0.802809i | 1.33804 | − | 0.0595082i | ||||
\(183\) | −1.97781 | − | 1.18629i | −0.146204 | − | 0.0876931i | ||||
\(184\) | −1.95297 | − | 3.38264i | −0.143975 | − | 0.249371i | ||||
\(185\) | 16.3347 | 1.20095 | ||||||||
\(186\) | −1.80113 | + | 3.00288i | −0.132065 | + | 0.220182i | ||||
\(187\) | 7.34216i | 0.536912i | ||||||||
\(188\) | −6.80349 | −0.496195 | ||||||||
\(189\) | 6.80734 | + | 11.9440i | 0.495161 | + | 0.868801i | ||||
\(190\) | −6.53424 | −0.474044 | ||||||||
\(191\) | − | 25.7989i | − | 1.86674i | −0.358916 | − | 0.933370i | \(-0.616854\pi\) | ||
0.358916 | − | 0.933370i | \(-0.383146\pi\) | |||||||
\(192\) | 0.890915 | − | 1.48535i | 0.0642963 | − | 0.107196i | ||||
\(193\) | −9.28662 | −0.668466 | −0.334233 | − | 0.942491i | \(-0.608477\pi\) | ||||
−0.334233 | + | 0.942491i | \(0.608477\pi\) | |||||||
\(194\) | 2.38967 | + | 4.13903i | 0.171568 | + | 0.297165i | ||||
\(195\) | −23.1479 | − | 13.8841i | −1.65766 | − | 0.994265i | ||||
\(196\) | 2.94803 | − | 6.34895i | 0.210573 | − | 0.453496i | ||||
\(197\) | 5.86237i | 0.417677i | 0.977950 | + | 0.208838i | \(0.0669683\pi\) | ||||
−0.977950 | + | 0.208838i | \(0.933032\pi\) | |||||||
\(198\) | 3.27726 | + | 0.109333i | 0.232905 | + | 0.00776997i | ||||
\(199\) | −13.9117 | + | 8.03191i | −0.986173 | + | 0.569367i | −0.904128 | − | 0.427262i | \(-0.859478\pi\) |
−0.0820447 | + | 0.996629i | \(0.526145\pi\) | |||||||
\(200\) | −0.179327 | − | 0.103535i | −0.0126804 | − | 0.00732101i | ||||
\(201\) | −4.54294 | + | 7.57408i | −0.320434 | + | 0.534234i | ||||
\(202\) | 9.05829 | + | 5.22981i | 0.637339 | + | 0.367968i | ||||
\(203\) | 4.33578 | + | 2.25260i | 0.304312 | + | 0.158101i | ||||
\(204\) | −11.6330 | − | 0.193992i | −0.814475 | − | 0.0135821i | ||||
\(205\) | 11.2048 | 0.782579 | ||||||||
\(206\) | 6.37383 | + | 11.0398i | 0.444086 | + | 0.769180i | ||||
\(207\) | 9.94691 | + | 6.19400i | 0.691358 | + | 0.430512i | ||||
\(208\) | 5.91448 | + | 3.41473i | 0.410096 | + | 0.236769i | ||||
\(209\) | 1.56495 | + | 2.71057i | 0.108250 | + | 0.187494i | ||||
\(210\) | −8.90734 | + | 5.47793i | −0.614665 | + | 0.378013i | ||||
\(211\) | 12.3741 | − | 21.4325i | 0.851867 | − | 1.47548i | −0.0276550 | − | 0.999618i | \(-0.508804\pi\) |
0.879522 | − | 0.475859i | \(-0.157863\pi\) | |||||||
\(212\) | −0.222069 | + | 0.128212i | −0.0152518 | + | 0.00880562i | ||||
\(213\) | 0.346839 | + | 0.208035i | 0.0237650 | + | 0.0142543i | ||||
\(214\) | 4.76813 | − | 8.25865i | 0.325943 | − | 0.564550i | ||||
\(215\) | 8.53993 | − | 14.7916i | 0.582419 | − | 1.00878i | ||||
\(216\) | −0.259820 | + | 5.18965i | −0.0176785 | + | 0.353111i | ||||
\(217\) | −4.50882 | + | 2.87758i | −0.306078 | + | 0.195343i | ||||
\(218\) | −4.99266 | + | 2.88251i | −0.338146 | + | 0.195228i | ||||
\(219\) | −0.196506 | + | 11.7838i | −0.0132786 | + | 0.796275i | ||||
\(220\) | 2.49418i | 0.168158i | ||||||||
\(221\) | − | 45.8753i | − | 3.08590i | ||||||
\(222\) | 10.8395 | − | 6.01946i | 0.727497 | − | 0.403999i | ||||
\(223\) | 3.20041 | − | 1.84776i | 0.214315 | − | 0.123735i | −0.389000 | − | 0.921238i | \(-0.627179\pi\) |
0.603315 | + | 0.797503i | \(0.293846\pi\) | |||||||
\(224\) | 2.23025 | − | 1.42337i | 0.149015 | − | 0.0951030i | ||||
\(225\) | 0.620863 | + | 0.0207127i | 0.0413909 | + | 0.00138085i | ||||
\(226\) | −5.96592 | + | 10.3333i | −0.396847 | + | 0.687359i | ||||
\(227\) | 2.30549 | − | 3.99322i | 0.153020 | − | 0.265039i | −0.779316 | − | 0.626631i | \(-0.784433\pi\) |
0.932336 | + | 0.361592i | \(0.117767\pi\) | |||||||
\(228\) | −4.33601 | + | 2.40791i | −0.287160 | + | 0.159468i | ||||
\(229\) | −13.8220 | + | 7.98016i | −0.913386 | + | 0.527344i | −0.881519 | − | 0.472148i | \(-0.843479\pi\) |
−0.0318672 | + | 0.999492i | \(0.510145\pi\) | |||||||
\(230\) | −4.45647 | + | 7.71884i | −0.293851 | + | 0.508965i | ||||
\(231\) | 4.40569 | + | 2.38303i | 0.289873 | + | 0.156792i | ||||
\(232\) | 0.923371 | + | 1.59933i | 0.0606223 | + | 0.105001i | ||||
\(233\) | −6.17609 | − | 3.56577i | −0.404609 | − | 0.233601i | 0.283862 | − | 0.958865i | \(-0.408384\pi\) |
−0.688471 | + | 0.725264i | \(0.741718\pi\) | |||||||
\(234\) | −20.4770 | − | 0.683135i | −1.33862 | − | 0.0446580i | ||||
\(235\) | 7.76244 | + | 13.4449i | 0.506366 | + | 0.877051i | ||||
\(236\) | −1.94202 | −0.126415 | ||||||||
\(237\) | 6.47917 | − | 10.8022i | 0.420867 | − | 0.701678i | ||||
\(238\) | −15.7708 | − | 8.19350i | −1.02227 | − | 0.531106i | ||||
\(239\) | 13.6219 | + | 7.86462i | 0.881129 | + | 0.508720i | 0.871031 | − | 0.491229i | \(-0.163452\pi\) |
0.0100987 | + | 0.999949i | \(0.496785\pi\) | |||||||
\(240\) | −3.95182 | − | 0.0659003i | −0.255089 | − | 0.00425384i | ||||
\(241\) | 1.39292 | + | 0.804201i | 0.0897257 | + | 0.0518031i | 0.544191 | − | 0.838961i | \(-0.316837\pi\) |
−0.454466 | + | 0.890764i | \(0.650170\pi\) | |||||||
\(242\) | −8.49163 | + | 4.90265i | −0.545863 | + | 0.315154i | ||||
\(243\) | −6.64294 | − | 14.1022i | −0.426145 | − | 0.904655i | ||||
\(244\) | − | 1.33154i | − | 0.0852432i | ||||||
\(245\) | −15.9102 | + | 1.41799i | −1.01647 | + | 0.0905920i | ||||
\(246\) | 7.43534 | − | 4.12905i | 0.474060 | − | 0.263259i | ||||
\(247\) | −9.77810 | − | 16.9362i | −0.622166 | − | 1.07762i | ||||
\(248\) | −2.02166 | −0.128376 | ||||||||
\(249\) | 10.0914 | + | 0.168283i | 0.639514 | + | 0.0106645i | ||||
\(250\) | − | 10.9370i | − | 0.691716i | ||||||
\(251\) | −18.3728 | −1.15968 | −0.579841 | − | 0.814729i | \(-0.696885\pi\) | ||||
−0.579841 | + | 0.814729i | \(0.696885\pi\) | |||||||
\(252\) | −3.89211 | + | 6.91748i | −0.245180 | + | 0.435760i | ||||
\(253\) | 4.26929 | 0.268408 | ||||||||
\(254\) | 10.9133i | 0.684762i | ||||||||
\(255\) | 12.8893 | + | 23.2103i | 0.807162 | + | 1.45349i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 8.73678 | + | 15.1326i | 0.544986 | + | 0.943943i | 0.998608 | + | 0.0527487i | \(0.0167982\pi\) |
−0.453622 | + | 0.891194i | \(0.649868\pi\) | |||||||
\(258\) | 0.216161 | − | 12.9625i | 0.0134576 | − | 0.807009i | ||||
\(259\) | 18.9206 | − | 0.841476i | 1.17567 | − | 0.0522868i | ||||
\(260\) | − | 15.5841i | − | 0.966487i | ||||||
\(261\) | −4.70295 | − | 2.92855i | −0.291105 | − | 0.181273i | ||||
\(262\) | 1.71417 | − | 0.989677i | 0.105902 | − | 0.0611424i | ||||
\(263\) | 23.9148 | + | 13.8072i | 1.47465 | + | 0.851389i | 0.999592 | − | 0.0285666i | \(-0.00909427\pi\) |
0.475057 | + | 0.879955i | \(0.342428\pi\) | |||||||
\(264\) | 0.919121 | + | 1.65510i | 0.0565680 | + | 0.101864i | ||||
\(265\) | 0.506740 | + | 0.292567i | 0.0311288 | + | 0.0179722i | ||||
\(266\) | −7.56865 | + | 0.336608i | −0.464064 | + | 0.0206388i | ||||
\(267\) | −15.1312 | − | 27.2473i | −0.926013 | − | 1.66751i | ||||
\(268\) | −5.09918 | −0.311482 | ||||||||
\(269\) | −3.38607 | − | 5.86484i | −0.206452 | − | 0.357586i | 0.744142 | − | 0.668021i | \(-0.232858\pi\) |
−0.950594 | + | 0.310435i | \(0.899525\pi\) | |||||||
\(270\) | 10.5521 | − | 5.40768i | 0.642183 | − | 0.329101i | ||||
\(271\) | 7.23822 | + | 4.17899i | 0.439691 | + | 0.253856i | 0.703466 | − | 0.710729i | \(-0.251635\pi\) |
−0.263776 | + | 0.964584i | \(0.584968\pi\) | |||||||
\(272\) | −3.35863 | − | 5.81732i | −0.203647 | − | 0.352727i | ||||
\(273\) | −27.5276 | − | 14.8896i | −1.66605 | − | 0.901162i | ||||
\(274\) | 1.65655 | − | 2.86923i | 0.100076 | − | 0.173336i | ||||
\(275\) | 0.196010 | − | 0.113166i | 0.0118198 | − | 0.00682419i | ||||
\(276\) | −0.112802 | + | 6.76433i | −0.00678985 | + | 0.407165i | ||||
\(277\) | 8.10617 | − | 14.0403i | 0.487053 | − | 0.843600i | −0.512837 | − | 0.858486i | \(-0.671405\pi\) |
0.999889 | + | 0.0148865i | \(0.00473868\pi\) | |||||||
\(278\) | −1.73608 | + | 3.00698i | −0.104123 | + | 0.180346i | ||||
\(279\) | 5.35063 | − | 2.85568i | 0.320334 | − | 0.170965i | ||||
\(280\) | −5.35745 | − | 2.78339i | −0.320169 | − | 0.166339i | ||||
\(281\) | −25.3352 | + | 14.6273i | −1.51137 | + | 0.872590i | −0.511458 | + | 0.859308i | \(0.670895\pi\) |
−0.999912 | + | 0.0132818i | \(0.995772\pi\) | |||||||
\(282\) | 10.1056 | + | 6.06133i | 0.601778 | + | 0.360947i | ||||
\(283\) | − | 1.43448i | − | 0.0852712i | −0.999091 | − | 0.0426356i | \(-0.986425\pi\) | ||
0.999091 | − | 0.0426356i | \(-0.0135754\pi\) | |||||||
\(284\) | 0.233507i | 0.0138561i | ||||||||
\(285\) | 9.70565 | + | 5.82146i | 0.574913 | + | 0.344833i | ||||
\(286\) | −6.46469 | + | 3.73239i | −0.382265 | + | 0.220701i | ||||
\(287\) | 12.9786 | − | 0.577211i | 0.766104 | − | 0.0340717i | ||||
\(288\) | −2.64665 | + | 1.41254i | −0.155955 | + | 0.0832347i | ||||
\(289\) | −14.0608 | + | 24.3541i | −0.827108 | + | 1.43259i | ||||
\(290\) | 2.10704 | − | 3.64950i | 0.123730 | − | 0.214306i | ||||
\(291\) | 0.138025 | − | 8.27691i | 0.00809118 | − | 0.485201i | ||||
\(292\) | −5.89272 | + | 3.40216i | −0.344845 | + | 0.199096i | ||||
\(293\) | −10.8260 | + | 18.7511i | −0.632459 | + | 1.09545i | 0.354588 | + | 0.935023i | \(0.384621\pi\) |
−0.987047 | + | 0.160429i | \(0.948712\pi\) | |||||||
\(294\) | −10.0352 | + | 6.80398i | −0.585267 | + | 0.396816i | ||||
\(295\) | 2.21575 | + | 3.83779i | 0.129006 | + | 0.223444i | ||||
\(296\) | 6.19935 | + | 3.57920i | 0.360330 | + | 0.208037i | ||||
\(297\) | −4.77048 | − | 3.08216i | −0.276811 | − | 0.178845i | ||||
\(298\) | 6.67036 | + | 11.5534i | 0.386404 | + | 0.669271i | ||||
\(299\) | −26.6754 | −1.54268 | ||||||||
\(300\) | 0.174124 | + | 0.313551i | 0.0100530 | + | 0.0181029i | ||||
\(301\) | 9.12987 | − | 17.5731i | 0.526237 | − | 1.01290i | ||||
\(302\) | −4.62450 | − | 2.66995i | −0.266110 | − | 0.153639i | ||||
\(303\) | −8.79544 | − | 15.8383i | −0.505285 | − | 0.909885i | ||||
\(304\) | −2.47987 | − | 1.43175i | −0.142230 | − | 0.0821167i | ||||
\(305\) | −2.63137 | + | 1.51922i | −0.150672 | + | 0.0869904i | ||||
\(306\) | 17.1063 | + | 10.6522i | 0.977903 | + | 0.608945i | ||||
\(307\) | − | 13.4732i | − | 0.768957i | −0.923134 | − | 0.384479i | \(-0.874381\pi\) | ||
0.923134 | − | 0.384479i | \(-0.125619\pi\) | |||||||
\(308\) | 0.128486 | + | 2.88902i | 0.00732120 | + | 0.164617i | ||||
\(309\) | 0.368147 | − | 22.0765i | 0.0209432 | − | 1.25589i | ||||
\(310\) | 2.30662 | + | 3.99518i | 0.131007 | + | 0.226911i | ||||
\(311\) | −28.7338 | −1.62934 | −0.814672 | − | 0.579922i | \(-0.803083\pi\) | ||||
−0.814672 | + | 0.579922i | \(0.803083\pi\) | |||||||
\(312\) | −5.74285 | − | 10.3414i | −0.325125 | − | 0.585465i | ||||
\(313\) | − | 23.6293i | − | 1.33561i | −0.744337 | − | 0.667805i | \(-0.767234\pi\) | ||
0.744337 | − | 0.667805i | \(-0.232766\pi\) | |||||||
\(314\) | 17.6673 | 0.997023 | ||||||||
\(315\) | 18.1109 | − | 0.200966i | 1.02043 | − | 0.0113231i | ||||
\(316\) | 7.27248 | 0.409109 | ||||||||
\(317\) | 0.877680i | 0.0492954i | 0.999696 | + | 0.0246477i | \(0.00784641\pi\) | ||||
−0.999696 | + | 0.0246477i | \(0.992154\pi\) | |||||||
\(318\) | 0.444077 | + | 0.00740540i | 0.0249026 | + | 0.000415274i | ||||
\(319\) | −2.01854 | −0.113017 | ||||||||
\(320\) | −1.14095 | − | 1.97618i | −0.0637811 | − | 0.110472i | ||||
\(321\) | −14.4401 | + | 8.01900i | −0.805969 | + | 0.447577i | ||||
\(322\) | −4.76433 | + | 9.17035i | −0.265505 | + | 0.511043i | ||||
\(323\) | 19.2349i | 1.07026i | ||||||||
\(324\) | 5.00947 | − | 7.47698i | 0.278304 | − | 0.415388i | ||||
\(325\) | −1.22471 | + | 0.707086i | −0.0679346 | + | 0.0392221i | ||||
\(326\) | −13.7683 | − | 7.94915i | −0.762557 | − | 0.440262i | ||||
\(327\) | 9.98393 | + | 0.166491i | 0.552113 | + | 0.00920700i | ||||
\(328\) | 4.25245 | + | 2.45515i | 0.234802 | + | 0.135563i | ||||
\(329\) | 9.68389 | + | 15.1735i | 0.533890 | + | 0.836541i | ||||
\(330\) | 2.22210 | − | 3.70474i | 0.122323 | − | 0.203939i | ||||
\(331\) | −20.1830 | −1.10936 | −0.554680 | − | 0.832064i | \(-0.687159\pi\) | ||||
−0.554680 | + | 0.832064i | \(0.687159\pi\) | |||||||
\(332\) | 2.91353 | + | 5.04638i | 0.159901 | + | 0.276956i | ||||
\(333\) | −21.4632 | − | 0.716039i | −1.17618 | − | 0.0392387i | ||||
\(334\) | −4.95155 | − | 2.85878i | −0.270937 | − | 0.156425i | ||||
\(335\) | 5.81791 | + | 10.0769i | 0.317866 | + | 0.550561i | ||||
\(336\) | −4.58081 | + | 0.127243i | −0.249904 | + | 0.00694169i | ||||
\(337\) | 0.757605 | − | 1.31221i | 0.0412694 | − | 0.0714807i | −0.844653 | − | 0.535314i | \(-0.820193\pi\) |
0.885922 | + | 0.463834i | \(0.153526\pi\) | |||||||
\(338\) | 29.1344 | − | 16.8207i | 1.58470 | − | 0.914927i | ||||
\(339\) | 18.0676 | − | 10.0334i | 0.981295 | − | 0.544941i | ||||
\(340\) | −7.66407 | + | 13.2746i | −0.415642 | + | 0.719914i | ||||
\(341\) | 1.10487 | − | 1.91369i | 0.0598319 | − | 0.103632i | ||||
\(342\) | 8.58575 | + | 0.286431i | 0.464264 | + | 0.0154884i | ||||
\(343\) | −18.3559 | + | 2.46207i | −0.991124 | + | 0.132939i | ||||
\(344\) | 6.48214 | − | 3.74246i | 0.349494 | − | 0.201780i | ||||
\(345\) | 13.4963 | − | 7.49485i | 0.726614 | − | 0.403509i | ||||
\(346\) | − | 15.2052i | − | 0.817434i | ||||||
\(347\) | 36.0985i | 1.93787i | 0.247320 | + | 0.968934i | \(0.420450\pi\) | ||||
−0.247320 | + | 0.968934i | \(0.579550\pi\) | |||||||
\(348\) | 0.0533331 | − | 3.19821i | 0.00285895 | − | 0.171442i | ||||
\(349\) | −16.7962 | + | 9.69727i | −0.899078 | + | 0.519083i | −0.876901 | − | 0.480671i | \(-0.840393\pi\) |
−0.0221769 | + | 0.999754i | \(0.507060\pi\) | |||||||
\(350\) | 0.0243412 | + | 0.547313i | 0.00130109 | + | 0.0292551i | ||||
\(351\) | 29.8069 | + | 19.2579i | 1.59097 | + | 1.02791i | ||||
\(352\) | −0.546514 | + | 0.946590i | −0.0291293 | + | 0.0504534i | ||||
\(353\) | 2.01909 | − | 3.49717i | 0.107465 | − | 0.186136i | −0.807277 | − | 0.590172i | \(-0.799060\pi\) |
0.914743 | + | 0.404037i | \(0.132393\pi\) | |||||||
\(354\) | 2.88458 | + | 1.73017i | 0.153314 | + | 0.0919577i | ||||
\(355\) | 0.461452 | − | 0.266419i | 0.0244913 | − | 0.0141401i | ||||
\(356\) | 8.99707 | − | 15.5834i | 0.476844 | − | 0.825918i | ||||
\(357\) | 16.1255 | + | 26.2207i | 0.853450 | + | 1.38775i | ||||
\(358\) | −2.02986 | − | 3.51582i | −0.107281 | − | 0.185817i | ||||
\(359\) | 21.2649 | + | 12.2773i | 1.12232 | + | 0.647970i | 0.941991 | − | 0.335637i | \(-0.108952\pi\) |
0.180326 | + | 0.983607i | \(0.442285\pi\) | |||||||
\(360\) | 5.81113 | + | 3.61862i | 0.306273 | + | 0.190718i | ||||
\(361\) | −5.40016 | − | 9.35335i | −0.284219 | − | 0.492282i | ||||
\(362\) | −3.68452 | −0.193654 | ||||||||
\(363\) | 16.9809 | + | 0.283172i | 0.891266 | + | 0.0148627i | ||||
\(364\) | −0.802809 | − | 18.0512i | −0.0420786 | − | 0.946140i | ||||
\(365\) | 13.4466 | + | 7.76339i | 0.703827 | + | 0.406354i | ||||
\(366\) | −1.18629 | + | 1.97781i | −0.0620084 | + | 0.103382i | ||||
\(367\) | −6.28109 | − | 3.62639i | −0.327870 | − | 0.189296i | 0.327025 | − | 0.945016i | \(-0.393954\pi\) |
−0.654895 | + | 0.755720i | \(0.727287\pi\) | |||||||
\(368\) | −3.38264 | + | 1.95297i | −0.176332 | + | 0.101805i | ||||
\(369\) | −14.7227 | − | 0.491167i | −0.766435 | − | 0.0255691i | ||||
\(370\) | − | 16.3347i | − | 0.849203i | ||||||
\(371\) | 0.602031 | + | 0.312777i | 0.0312559 | + | 0.0162386i | ||||
\(372\) | 3.00288 | + | 1.80113i | 0.155692 | + | 0.0933843i | ||||
\(373\) | 14.8921 | + | 25.7939i | 0.771083 | + | 1.33556i | 0.936970 | + | 0.349410i | \(0.113618\pi\) |
−0.165887 | + | 0.986145i | \(0.553049\pi\) | |||||||
\(374\) | 7.34216 | 0.379654 | ||||||||
\(375\) | −9.74393 | + | 16.2453i | −0.503175 | + | 0.838902i | ||||
\(376\) | 6.80349i | 0.350863i | ||||||||
\(377\) | 12.6122 | 0.649564 | ||||||||
\(378\) | 11.9440 | − | 6.80734i | 0.614335 | − | 0.350132i | ||||
\(379\) | 6.11280 | 0.313993 | 0.156997 | − | 0.987599i | \(-0.449819\pi\) | ||||
0.156997 | + | 0.987599i | \(0.449819\pi\) | |||||||
\(380\) | 6.53424i | 0.335200i | ||||||||
\(381\) | 9.72284 | − | 16.2101i | 0.498116 | − | 0.830469i | ||||
\(382\) | −25.7989 | −1.31998 | ||||||||
\(383\) | −16.2451 | − | 28.1374i | −0.830088 | − | 1.43775i | −0.897968 | − | 0.440061i | \(-0.854957\pi\) |
0.0678797 | − | 0.997694i | \(-0.478377\pi\) | |||||||
\(384\) | −1.48535 | − | 0.890915i | −0.0757990 | − | 0.0454643i | ||||
\(385\) | 5.56265 | − | 3.55015i | 0.283499 | − | 0.180932i | ||||
\(386\) | 9.28662i | 0.472677i | ||||||||
\(387\) | −11.8695 | + | 19.0613i | −0.603363 | + | 0.968938i | ||||
\(388\) | 4.13903 | − | 2.38967i | 0.210127 | − | 0.121317i | ||||
\(389\) | 1.80316 | + | 1.04105i | 0.0914236 | + | 0.0527834i | 0.545015 | − | 0.838426i | \(-0.316524\pi\) |
−0.453591 | + | 0.891210i | \(0.649857\pi\) | |||||||
\(390\) | −13.8841 | + | 23.1479i | −0.703051 | + | 1.17214i | ||||
\(391\) | 22.7221 | + | 13.1186i | 1.14910 | + | 0.663435i | ||||
\(392\) | −6.34895 | − | 2.94803i | −0.320670 | − | 0.148898i | ||||
\(393\) | −3.42786 | − | 0.0571628i | −0.172913 | − | 0.00288348i | ||||
\(394\) | 5.86237 | 0.295342 | ||||||||
\(395\) | −8.29754 | − | 14.3718i | −0.417495 | − | 0.723122i | ||||
\(396\) | 0.109333 | − | 3.27726i | 0.00549420 | − | 0.164689i | ||||
\(397\) | 16.3994 | + | 9.46822i | 0.823064 | + | 0.475196i | 0.851472 | − | 0.524400i | \(-0.175710\pi\) |
−0.0284077 | + | 0.999596i | \(0.509044\pi\) | |||||||
\(398\) | 8.03191 | + | 13.9117i | 0.402603 | + | 0.697329i | ||||
\(399\) | 11.5420 | + | 6.24305i | 0.577823 | + | 0.312543i | ||||
\(400\) | −0.103535 | + | 0.179327i | −0.00517674 | + | 0.00896637i | ||||
\(401\) | 3.35718 | − | 1.93827i | 0.167650 | − | 0.0967926i | −0.413827 | − | 0.910355i | \(-0.635808\pi\) |
0.581477 | + | 0.813563i | \(0.302475\pi\) | |||||||
\(402\) | 7.57408 | + | 4.54294i | 0.377761 | + | 0.226581i | ||||
\(403\) | −6.90343 | + | 11.9571i | −0.343884 | + | 0.595625i | ||||
\(404\) | 5.22981 | − | 9.05829i | 0.260193 | − | 0.450667i | ||||
\(405\) | −20.4914 | − | 1.36876i | −1.01823 | − | 0.0680142i | ||||
\(406\) | 2.25260 | − | 4.33578i | 0.111794 | − | 0.215181i | ||||
\(407\) | −6.77606 | + | 3.91216i | −0.335877 | + | 0.193919i | ||||
\(408\) | −0.193992 | + | 11.6330i | −0.00960402 | + | 0.575921i | ||||
\(409\) | − | 16.1988i | − | 0.800979i | −0.916301 | − | 0.400490i | \(-0.868840\pi\) | ||
0.916301 | − | 0.400490i | \(-0.131160\pi\) | |||||||
\(410\) | − | 11.2048i | − | 0.553367i | ||||||
\(411\) | −5.01680 | + | 2.78597i | −0.247460 | + | 0.137422i | ||||
\(412\) | 11.0398 | − | 6.37383i | 0.543892 | − | 0.314016i | ||||
\(413\) | 2.76421 | + | 4.33119i | 0.136018 | + | 0.213124i | ||||
\(414\) | 6.19400 | − | 9.94691i | 0.304418 | − | 0.488864i | ||||
\(415\) | 6.64838 | − | 11.5153i | 0.326356 | − | 0.565266i | ||||
\(416\) | 3.41473 | − | 5.91448i | 0.167421 | − | 0.289981i | ||||
\(417\) | 5.25765 | − | 2.91972i | 0.257468 | − | 0.142979i | ||||
\(418\) | 2.71057 | − | 1.56495i | 0.132578 | − | 0.0765441i | ||||
\(419\) | −1.63790 | + | 2.83692i | −0.0800165 | + | 0.138593i | −0.903257 | − | 0.429100i | \(-0.858831\pi\) |
0.823240 | + | 0.567693i | \(0.192164\pi\) | |||||||
\(420\) | 5.47793 | + | 8.90734i | 0.267296 | + | 0.434634i | ||||
\(421\) | −0.844823 | − | 1.46328i | −0.0411741 | − | 0.0713157i | 0.844704 | − | 0.535234i | \(-0.179777\pi\) |
−0.885878 | + | 0.463918i | \(0.846443\pi\) | |||||||
\(422\) | −21.4325 | − | 12.3741i | −1.04332 | − | 0.602361i | ||||
\(423\) | −9.61019 | − | 18.0064i | −0.467264 | − | 0.875502i | ||||
\(424\) | 0.128212 | + | 0.222069i | 0.00622651 | + | 0.0107846i | ||||
\(425\) | 1.39094 | 0.0674705 | ||||||||
\(426\) | 0.208035 | − | 0.346839i | 0.0100793 | − | 0.0168044i | ||||
\(427\) | −2.96967 | + | 1.89528i | −0.143712 | + | 0.0917189i | ||||
\(428\) | −8.25865 | − | 4.76813i | −0.399197 | − | 0.230476i | ||||
\(429\) | 12.9276 | + | 0.215580i | 0.624150 | + | 0.0104083i | ||||
\(430\) | −14.7916 | − | 8.53993i | −0.713314 | − | 0.411832i | ||||
\(431\) | 0.0157083 | − | 0.00906921i | 0.000756644 | − | 0.000436848i | −0.499622 | − | 0.866244i | \(-0.666528\pi\) |
0.500378 | + | 0.865807i | \(0.333194\pi\) | |||||||
\(432\) | 5.18965 | + | 0.259820i | 0.249687 | + | 0.0125006i | ||||
\(433\) | 5.36964i | 0.258048i | 0.991641 | + | 0.129024i | \(0.0411845\pi\) | ||||
−0.991641 | + | 0.129024i | \(0.958815\pi\) | |||||||
\(434\) | 2.87758 | + | 4.50882i | 0.138128 | + | 0.216430i | ||||
\(435\) | −6.38110 | + | 3.54360i | −0.305950 | + | 0.169903i | ||||
\(436\) | 2.88251 | + | 4.99266i | 0.138047 | + | 0.239105i | ||||
\(437\) | 11.1847 | 0.535035 | ||||||||
\(438\) | 11.7838 | + | 0.196506i | 0.563051 | + | 0.00938941i | ||||
\(439\) | − | 21.8401i | − | 1.04237i | −0.853443 | − | 0.521186i | \(-0.825490\pi\) | ||
0.853443 | − | 0.521186i | \(-0.174510\pi\) | |||||||
\(440\) | 2.49418 | 0.118905 | ||||||||
\(441\) | 20.9676 | − | 1.16575i | 0.998458 | − | 0.0555121i | ||||
\(442\) | −45.8753 | −2.18206 | ||||||||
\(443\) | − | 2.09931i | − | 0.0997413i | −0.998756 | − | 0.0498707i | \(-0.984119\pi\) | ||
0.998756 | − | 0.0498707i | \(-0.0158809\pi\) | |||||||
\(444\) | −6.01946 | − | 10.8395i | −0.285671 | − | 0.514418i | ||||
\(445\) | −41.0608 | −1.94647 | ||||||||
\(446\) | −1.84776 | − | 3.20041i | −0.0874938 | − | 0.151544i | ||||
\(447\) | 0.385274 | − | 23.1036i | 0.0182228 | − | 1.09276i | ||||
\(448\) | −1.42337 | − | 2.23025i | −0.0672480 | − | 0.105369i | ||||
\(449\) | − | 27.1356i | − | 1.28061i | −0.768122 | − | 0.640303i | \(-0.778809\pi\) | ||
0.768122 | − | 0.640303i | \(-0.221191\pi\) | |||||||
\(450\) | 0.0207127 | − | 0.620863i | 0.000976406 | − | 0.0292678i | ||||
\(451\) | −4.64805 | + | 2.68355i | −0.218868 | + | 0.126364i | ||||
\(452\) | 10.3333 | + | 5.96592i | 0.486036 | + | 0.280613i | ||||
\(453\) | 4.49030 | + | 8.08586i | 0.210973 | + | 0.379907i | ||||
\(454\) | −3.99322 | − | 2.30549i | −0.187411 | − | 0.108202i | ||||
\(455\) | −34.7565 | + | 22.1820i | −1.62941 | + | 1.03991i | ||||
\(456\) | 2.40791 | + | 4.33601i | 0.112761 | + | 0.203052i | ||||
\(457\) | 8.43196 | 0.394431 | 0.197215 | − | 0.980360i | \(-0.436810\pi\) | ||||
0.197215 | + | 0.980360i | \(0.436810\pi\) | |||||||
\(458\) | 7.98016 | + | 13.8220i | 0.372888 | + | 0.645862i | ||||
\(459\) | −15.9187 | − | 31.0625i | −0.743020 | − | 1.44987i | ||||
\(460\) | 7.71884 | + | 4.45647i | 0.359893 | + | 0.207784i | ||||
\(461\) | 4.67153 | + | 8.09133i | 0.217575 | + | 0.376851i | 0.954066 | − | 0.299596i | \(-0.0968520\pi\) |
−0.736491 | + | 0.676447i | \(0.763519\pi\) | |||||||
\(462\) | 2.38303 | − | 4.40569i | 0.110869 | − | 0.204971i | ||||
\(463\) | −12.7281 | + | 22.0458i | −0.591526 | + | 1.02455i | 0.402501 | + | 0.915420i | \(0.368141\pi\) |
−0.994027 | + | 0.109134i | \(0.965192\pi\) | |||||||
\(464\) | 1.59933 | − | 0.923371i | 0.0742469 | − | 0.0428664i | ||||
\(465\) | 0.133228 | − | 7.98925i | 0.00617831 | − | 0.370493i | ||||
\(466\) | −3.56577 | + | 6.17609i | −0.165181 | + | 0.286102i | ||||
\(467\) | −10.3199 | + | 17.8746i | −0.477547 | + | 0.827136i | −0.999669 | − | 0.0257351i | \(-0.991807\pi\) |
0.522122 | + | 0.852871i | \(0.325141\pi\) | |||||||
\(468\) | −0.683135 | + | 20.4770i | −0.0315779 | + | 0.946548i | ||||
\(469\) | 7.25803 | + | 11.3724i | 0.335145 | + | 0.525131i | ||||
\(470\) | 13.4449 | − | 7.76244i | 0.620169 | − | 0.358055i | ||||
\(471\) | −26.2421 | − | 15.7401i | −1.20917 | − | 0.725264i | ||||
\(472\) | 1.94202i | 0.0893886i | ||||||||
\(473\) | 8.18124i | 0.376174i | ||||||||
\(474\) | −10.8022 | − | 6.47917i | −0.496161 | − | 0.297598i | ||||
\(475\) | 0.513506 | − | 0.296473i | 0.0235613 | − | 0.0136031i | ||||
\(476\) | −8.19350 | + | 15.7708i | −0.375548 | + | 0.722853i | ||||
\(477\) | −0.653013 | − | 0.406635i | −0.0298994 | − | 0.0186185i | ||||
\(478\) | 7.86462 | − | 13.6219i | 0.359720 | − | 0.623053i | ||||
\(479\) | 3.07442 | − | 5.32505i | 0.140474 | − | 0.243308i | −0.787201 | − | 0.616696i | \(-0.788471\pi\) |
0.927675 | + | 0.373388i | \(0.121804\pi\) | |||||||
\(480\) | −0.0659003 | + | 3.95182i | −0.00300792 | + | 0.180375i | ||||
\(481\) | 42.3382 | − | 24.4440i | 1.93046 | − | 1.11455i | ||||
\(482\) | 0.804201 | − | 1.39292i | 0.0366303 | − | 0.0634456i | ||||
\(483\) | 15.2467 | − | 9.37658i | 0.693749 | − | 0.426649i | ||||
\(484\) | 4.90265 | + | 8.49163i | 0.222848 | + | 0.385983i | ||||
\(485\) | −9.44486 | − | 5.45299i | −0.428869 | − | 0.247608i | ||||
\(486\) | −14.1022 | + | 6.64294i | −0.639688 | + | 0.301330i | ||||
\(487\) | −9.86365 | − | 17.0843i | −0.446965 | − | 0.774166i | 0.551222 | − | 0.834359i | \(-0.314162\pi\) |
−0.998187 | + | 0.0601930i | \(0.980828\pi\) | |||||||
\(488\) | −1.33154 | −0.0602760 | ||||||||
\(489\) | 13.3688 | + | 24.0737i | 0.604557 | + | 1.08865i | ||||
\(490\) | 1.41799 | + | 15.9102i | 0.0640582 | + | 0.718751i | ||||
\(491\) | 3.42935 | + | 1.97994i | 0.154764 | + | 0.0893533i | 0.575382 | − | 0.817885i | \(-0.304853\pi\) |
−0.420618 | + | 0.907238i | \(0.638187\pi\) | |||||||
\(492\) | −4.12905 | − | 7.43534i | −0.186152 | − | 0.335211i | ||||
\(493\) | −10.7431 | − | 6.20253i | −0.483845 | − | 0.279348i | ||||
\(494\) | −16.9362 | + | 9.77810i | −0.761994 | + | 0.439938i | ||||
\(495\) | −6.60121 | + | 3.52313i | −0.296702 | + | 0.158353i | ||||
\(496\) | 2.02166i | 0.0907754i | ||||||||
\(497\) | 0.520778 | − | 0.332367i | 0.0233601 | − | 0.0149087i | ||||
\(498\) | 0.168283 | − | 10.0914i | 0.00754094 | − | 0.452205i | ||||
\(499\) | 18.4092 | + | 31.8856i | 0.824108 | + | 1.42740i | 0.902599 | + | 0.430482i | \(0.141656\pi\) |
−0.0784916 | + | 0.996915i | \(0.525010\pi\) | |||||||
\(500\) | −10.9370 | −0.489117 | ||||||||
\(501\) | 4.80786 | + | 8.65771i | 0.214800 | + | 0.386798i | ||||
\(502\) | 18.3728i | 0.820019i | ||||||||
\(503\) | 12.3802 | 0.552004 | 0.276002 | − | 0.961157i | \(-0.410990\pi\) | ||||
0.276002 | + | 0.961157i | \(0.410990\pi\) | |||||||
\(504\) | 6.91748 | + | 3.89211i | 0.308129 | + | 0.173368i | ||||
\(505\) | −23.8678 | −1.06210 | ||||||||
\(506\) | − | 4.26929i | − | 0.189793i | ||||||
\(507\) | −58.2606 | − | 0.971551i | −2.58745 | − | 0.0431481i | ||||
\(508\) | 10.9133 | 0.484200 | ||||||||
\(509\) | −7.54528 | − | 13.0688i | −0.334438 | − | 0.579264i | 0.648938 | − | 0.760841i | \(-0.275213\pi\) |
−0.983377 | + | 0.181577i | \(0.941880\pi\) | |||||||
\(510\) | 23.2103 | − | 12.8893i | 1.02777 | − | 0.570750i | ||||
\(511\) | 15.9752 | + | 8.29969i | 0.706701 | + | 0.367157i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −12.4977 | − | 8.07463i | −0.551786 | − | 0.356504i | ||||
\(514\) | 15.1326 | − | 8.73678i | 0.667468 | − | 0.385363i | ||||
\(515\) | −25.1917 | − | 14.5445i | −1.11008 | − | 0.640905i | ||||
\(516\) | −12.9625 | − | 0.216161i | −0.570641 | − | 0.00951598i | ||||
\(517\) | −6.44011 | − | 3.71820i | −0.283236 | − | 0.163526i | ||||
\(518\) | −0.841476 | − | 18.9206i | −0.0369723 | − | 0.831325i | ||||
\(519\) | −13.5465 | + | 22.5850i | −0.594626 | + | 0.991372i | ||||
\(520\) | −15.5841 | −0.683410 | ||||||||
\(521\) | −12.4908 | − | 21.6347i | −0.547231 | − | 0.947832i | −0.998463 | − | 0.0554255i | \(-0.982348\pi\) |
0.451232 | − | 0.892407i | \(-0.350985\pi\) | |||||||
\(522\) | −2.92855 | + | 4.70295i | −0.128179 | + | 0.205842i | ||||
\(523\) | 21.6818 | + | 12.5180i | 0.948077 | + | 0.547372i | 0.892483 | − | 0.451081i | \(-0.148961\pi\) |
0.0555939 | + | 0.998453i | \(0.482295\pi\) | |||||||
\(524\) | −0.989677 | − | 1.71417i | −0.0432342 | − | 0.0748839i | ||||
\(525\) | 0.451455 | − | 0.834639i | 0.0197031 | − | 0.0364266i | ||||
\(526\) | 13.8072 | − | 23.9148i | 0.602023 | − | 1.04273i | ||||
\(527\) | 11.7607 | − | 6.79003i | 0.512303 | − | 0.295778i | ||||
\(528\) | 1.65510 | − | 0.919121i | 0.0720289 | − | 0.0399996i | ||||
\(529\) | −3.87185 | + | 6.70625i | −0.168341 | + | 0.291576i | ||||
\(530\) | 0.292567 | − | 0.506740i | 0.0127083 | − | 0.0220114i | ||||
\(531\) | −2.74318 | − | 5.13983i | −0.119044 | − | 0.223050i | ||||
\(532\) | 0.336608 | + | 7.56865i | 0.0145938 | + | 0.328143i | ||||
\(533\) | 29.0419 | − | 16.7674i | 1.25795 | − | 0.726275i | ||||
\(534\) | −27.2473 | + | 15.1312i | −1.17911 | + | 0.654790i | ||||
\(535\) | 21.7608i | 0.940802i | ||||||||
\(536\) | 5.09918i | 0.220251i | ||||||||
\(537\) | −0.117243 | + | 7.03067i | −0.00505941 | + | 0.303396i | ||||
\(538\) | −5.86484 | + | 3.38607i | −0.252851 | + | 0.145984i | ||||
\(539\) | 6.26036 | − | 4.39871i | 0.269653 | − | 0.189466i | ||||
\(540\) | −5.40768 | − | 10.5521i | −0.232710 | − | 0.454092i | ||||
\(541\) | 7.23042 | − | 12.5235i | 0.310860 | − | 0.538426i | −0.667689 | − | 0.744441i | \(-0.732716\pi\) |
0.978549 | + | 0.206015i | \(0.0660496\pi\) | |||||||
\(542\) | 4.17899 | − | 7.23822i | 0.179503 | − | 0.310908i | ||||
\(543\) | 5.47281 | + | 3.28260i | 0.234861 | + | 0.140870i | ||||
\(544\) | −5.81732 | + | 3.35863i | −0.249416 | + | 0.144000i | ||||
\(545\) | 6.57761 | − | 11.3928i | 0.281754 | − | 0.488012i | ||||
\(546\) | −14.8896 | + | 27.5276i | −0.637218 | + | 1.17807i | ||||
\(547\) | 16.9160 | + | 29.2994i | 0.723277 | + | 1.25275i | 0.959679 | + | 0.281098i | \(0.0906985\pi\) |
−0.236402 | + | 0.971655i | \(0.575968\pi\) | |||||||
\(548\) | −2.86923 | − | 1.65655i | −0.122567 | − | 0.0707642i | ||||
\(549\) | 3.52412 | − | 1.88085i | 0.150406 | − | 0.0802729i | ||||
\(550\) | −0.113166 | − | 0.196010i | −0.00482543 | − | 0.00835789i | ||||
\(551\) | −5.28816 | −0.225283 | ||||||||
\(552\) | 6.76433 | + | 0.112802i | 0.287909 | + | 0.00480115i | ||||
\(553\) | −10.3514 | − | 16.2195i | −0.440188 | − | 0.689721i | ||||
\(554\) | −14.0403 | − | 8.10617i | −0.596515 | − | 0.344398i | ||||
\(555\) | −14.5529 | + | 24.2628i | −0.617735 | + | 1.02990i | ||||
\(556\) | 3.00698 | + | 1.73608i | 0.127524 | + | 0.0736261i | ||||
\(557\) | −5.09456 | + | 2.94134i | −0.215863 | + | 0.124629i | −0.604033 | − | 0.796959i | \(-0.706441\pi\) |
0.388170 | + | 0.921588i | \(0.373107\pi\) | |||||||
\(558\) | −2.85568 | − | 5.35063i | −0.120891 | − | 0.226510i | ||||
\(559\) | − | 51.1180i | − | 2.16206i | ||||||
\(560\) | −2.78339 | + | 5.35745i | −0.117620 | + | 0.226393i | ||||
\(561\) | −10.9057 | − | 6.54124i | −0.460438 | − | 0.276171i | ||||
\(562\) | 14.6273 | + | 25.3352i | 0.617014 | + | 1.06870i | ||||
\(563\) | 15.5637 | 0.655931 | 0.327966 | − | 0.944690i | \(-0.393637\pi\) | ||||
0.327966 | + | 0.944690i | \(0.393637\pi\) | |||||||
\(564\) | 6.06133 | − | 10.1056i | 0.255228 | − | 0.425521i | ||||
\(565\) | − | 27.2273i | − | 1.14546i | ||||||
\(566\) | −1.43448 | −0.0602958 | ||||||||
\(567\) | −23.8059 | − | 0.529836i | −0.999752 | − | 0.0222510i | ||||
\(568\) | 0.233507 | 0.00979772 | ||||||||
\(569\) | − | 26.2110i | − | 1.09882i | −0.835553 | − | 0.549410i | \(-0.814852\pi\) | ||
0.835553 | − | 0.549410i | \(-0.185148\pi\) | |||||||
\(570\) | 5.82146 | − | 9.70565i | 0.243834 | − | 0.406525i | ||||
\(571\) | 25.6181 | 1.07208 | 0.536041 | − | 0.844192i | \(-0.319919\pi\) | ||||
0.536041 | + | 0.844192i | \(0.319919\pi\) | |||||||
\(572\) | 3.73239 | + | 6.46469i | 0.156059 | + | 0.270302i | ||||
\(573\) | 38.3204 | + | 22.9846i | 1.60086 | + | 0.960195i | ||||
\(574\) | −0.577211 | − | 12.9786i | −0.0240923 | − | 0.541717i | ||||
\(575\) | − | 0.808799i | − | 0.0337292i | ||||||
\(576\) | 1.41254 | + | 2.64665i | 0.0588558 | + | 0.110277i | ||||
\(577\) | 28.0540 | − | 16.1970i | 1.16790 | − | 0.674288i | 0.214717 | − | 0.976676i | \(-0.431117\pi\) |
0.953185 | + | 0.302388i | \(0.0977839\pi\) | |||||||
\(578\) | 24.3541 | + | 14.0608i | 1.01300 | + | 0.584853i | ||||
\(579\) | 8.27360 | − | 13.7939i | 0.343839 | − | 0.573255i | ||||
\(580\) | −3.64950 | − | 2.10704i | −0.151537 | − | 0.0874901i | ||||
\(581\) | 7.10766 | − | 13.6808i | 0.294875 | − | 0.567574i | ||||
\(582\) | −8.27691 | − | 0.138025i | −0.343089 | − | 0.00572133i | ||||
\(583\) | −0.280278 | −0.0116079 | ||||||||
\(584\) | 3.40216 | + | 5.89272i | 0.140782 | + | 0.243842i | ||||
\(585\) | 41.2457 | − | 22.0132i | 1.70530 | − | 0.910134i | ||||
\(586\) | 18.7511 | + | 10.8260i | 0.774601 | + | 0.447216i | ||||
\(587\) | −4.76851 | − | 8.25931i | −0.196818 | − | 0.340898i | 0.750677 | − | 0.660669i | \(-0.229727\pi\) |
−0.947495 | + | 0.319771i | \(0.896394\pi\) | |||||||
\(588\) | 6.80398 | + | 10.0352i | 0.280591 | + | 0.413846i | ||||
\(589\) | 2.89453 | − | 5.01347i | 0.119267 | − | 0.206576i | ||||
\(590\) | 3.83779 | − | 2.21575i | 0.157999 | − | 0.0912208i | ||||
\(591\) | −8.70769 | − | 5.22288i | −0.358186 | − | 0.214841i | ||||
\(592\) | 3.57920 | − | 6.19935i | 0.147104 | − | 0.254792i | ||||
\(593\) | −1.89409 | + | 3.28065i | −0.0777808 | + | 0.134720i | −0.902292 | − | 0.431125i | \(-0.858117\pi\) |
0.824511 | + | 0.565845i | \(0.191450\pi\) | |||||||
\(594\) | −3.08216 | + | 4.77048i | −0.126463 | + | 0.195735i | ||||
\(595\) | 40.5144 | − | 1.80184i | 1.66093 | − | 0.0738681i | ||||
\(596\) | 11.5534 | − | 6.67036i | 0.473246 | − | 0.273229i | ||||
\(597\) | 0.463916 | − | 27.8195i | 0.0189868 | − | 1.13858i | ||||
\(598\) | 26.6754i | 1.09084i | ||||||||
\(599\) | 36.1388i | 1.47659i | 0.674478 | + | 0.738295i | \(0.264369\pi\) | ||||
−0.674478 | + | 0.738295i | \(0.735631\pi\) | |||||||
\(600\) | 0.313551 | − | 0.174124i | 0.0128007 | − | 0.00710857i | ||||
\(601\) | −13.8275 | + | 7.98332i | −0.564036 | + | 0.325646i | −0.754764 | − | 0.655997i | \(-0.772249\pi\) |
0.190728 | + | 0.981643i | \(0.438915\pi\) | |||||||
\(602\) | −17.5731 | − | 9.12987i | −0.716227 | − | 0.372106i | ||||
\(603\) | −7.20279 | − | 13.4957i | −0.293320 | − | 0.549588i | ||||
\(604\) | −2.66995 | + | 4.62450i | −0.108639 | + | 0.188168i | ||||
\(605\) | 11.1873 | − | 19.3771i | 0.454830 | − | 0.787789i | ||||
\(606\) | −15.8383 | + | 8.79544i | −0.643386 | + | 0.357290i | ||||
\(607\) | −19.6190 | + | 11.3270i | −0.796309 | + | 0.459749i | −0.842179 | − | 0.539198i | \(-0.818727\pi\) |
0.0458701 | + | 0.998947i | \(0.485394\pi\) | |||||||
\(608\) | −1.43175 | + | 2.47987i | −0.0580653 | + | 0.100572i | ||||
\(609\) | −7.20871 | + | 4.43329i | −0.292112 | + | 0.179646i | ||||
\(610\) | 1.51922 | + | 2.63137i | 0.0615115 | + | 0.106541i | ||||
\(611\) | 40.2391 | + | 23.2321i | 1.62790 | + | 0.939868i | ||||
\(612\) | 10.6522 | − | 17.1063i | 0.430589 | − | 0.691481i | ||||
\(613\) | −1.84758 | − | 3.20011i | −0.0746232 | − | 0.129251i | 0.826299 | − | 0.563231i | \(-0.190442\pi\) |
−0.900922 | + | 0.433980i | \(0.857109\pi\) | |||||||
\(614\) | −13.4732 | −0.543735 | ||||||||
\(615\) | −9.98256 | + | 16.6431i | −0.402536 | + | 0.671115i | ||||
\(616\) | 2.88902 | − | 0.128486i | 0.116402 | − | 0.00517687i | ||||
\(617\) | 22.5187 | + | 13.0011i | 0.906567 | + | 0.523407i | 0.879325 | − | 0.476222i | \(-0.157994\pi\) |
0.0272418 | + | 0.999629i | \(0.491328\pi\) | |||||||
\(618\) | −22.0765 | − | 0.368147i | −0.888049 | − | 0.0148090i | ||||
\(619\) | 20.5526 | + | 11.8660i | 0.826079 | + | 0.476937i | 0.852508 | − | 0.522714i | \(-0.175080\pi\) |
−0.0264296 | + | 0.999651i | \(0.508414\pi\) | |||||||
\(620\) | 3.99518 | − | 2.30662i | 0.160450 | − | 0.0926360i | ||||
\(621\) | −18.0621 | + | 9.25634i | −0.724808 | + | 0.371444i | ||||
\(622\) | 28.7338i | 1.15212i | ||||||||
\(623\) | −47.5610 | + | 2.11523i | −1.90549 | + | 0.0847448i | ||||
\(624\) | −10.3414 | + | 5.74285i | −0.413986 | + | 0.229898i | ||||
\(625\) | 12.9962 | + | 22.5101i | 0.519849 | + | 0.900406i | ||||
\(626\) | −23.6293 | −0.944418 | ||||||||
\(627\) | −5.42038 | − | 0.0903900i | −0.216469 | − | 0.00360983i | ||||
\(628\) | − | 17.6673i | − | 0.705002i | ||||||
\(629\) | −48.0848 | −1.91727 | ||||||||
\(630\) | −0.200966 | − | 18.1109i | −0.00800666 | − | 0.721556i | ||||
\(631\) | −0.664631 | −0.0264586 | −0.0132293 | − | 0.999912i | \(-0.504211\pi\) | ||||
−0.0132293 | + | 0.999912i | \(0.504211\pi\) | |||||||
\(632\) | − | 7.27248i | − | 0.289284i | ||||||
\(633\) | 20.8106 | + | 37.4744i | 0.827147 | + | 1.48947i | ||||
\(634\) | 0.877680 | 0.0348571 | ||||||||
\(635\) | −12.4515 | − | 21.5667i | −0.494125 | − | 0.855849i | ||||
\(636\) | 0.00740540 | − | 0.444077i | 0.000293643 | − | 0.0176088i | ||||
\(637\) | −39.1160 | + | 27.4840i | −1.54983 | + | 1.08896i | ||||
\(638\) | 2.01854i | 0.0799148i | ||||||||
\(639\) | −0.618009 | + | 0.329837i | −0.0244481 | + | 0.0130482i | ||||
\(640\) | −1.97618 | + | 1.14095i | −0.0781155 | + | 0.0451000i | ||||
\(641\) | 7.27466 | + | 4.20003i | 0.287332 | + | 0.165891i | 0.636738 | − | 0.771080i | \(-0.280283\pi\) |
−0.349406 | + | 0.936971i | \(0.613617\pi\) | |||||||
\(642\) | 8.01900 | + | 14.4401i | 0.316485 | + | 0.569906i | ||||
\(643\) | −0.237974 | − | 0.137394i | −0.00938478 | − | 0.00541831i | 0.495300 | − | 0.868722i | \(-0.335058\pi\) |
−0.504685 | + | 0.863304i | \(0.668391\pi\) | |||||||
\(644\) | 9.17035 | + | 4.76433i | 0.361362 | + | 0.187741i | ||||
\(645\) | 14.3624 | + | 25.8629i | 0.565518 | + | 1.01835i | ||||
\(646\) | 19.2349 | 0.756789 | ||||||||
\(647\) | 17.0508 | + | 29.5328i | 0.670335 | + | 1.16105i | 0.977809 | + | 0.209498i | \(0.0671829\pi\) |
−0.307474 | + | 0.951556i | \(0.599484\pi\) | |||||||
\(648\) | −7.47698 | − | 5.00947i | −0.293724 | − | 0.196790i | ||||
\(649\) | −1.83830 | − | 1.06134i | −0.0721594 | − | 0.0416612i | ||||
\(650\) | 0.707086 | + | 1.22471i | 0.0277342 | + | 0.0480370i | ||||
\(651\) | −0.257243 | − | 9.26086i | −0.0100822 | − | 0.362962i | ||||
\(652\) | −7.94915 | + | 13.7683i | −0.311313 | + | 0.539209i | ||||
\(653\) | −1.48356 | + | 0.856531i | −0.0580560 | + | 0.0335187i | −0.528747 | − | 0.848779i | \(-0.677338\pi\) |
0.470691 | + | 0.882298i | \(0.344005\pi\) | |||||||
\(654\) | 0.166491 | − | 9.98393i | 0.00651033 | − | 0.390403i | ||||
\(655\) | −2.25834 | + | 3.91157i | −0.0882408 | + | 0.152838i | ||||
\(656\) | 2.45515 | − | 4.25245i | 0.0958576 | − | 0.166030i | ||||
\(657\) | −17.3280 | − | 10.7902i | −0.676030 | − | 0.420967i | ||||
\(658\) | 15.1735 | − | 9.68389i | 0.591524 | − | 0.377517i | ||||
\(659\) | 30.0556 | − | 17.3526i | 1.17080 | − | 0.675961i | 0.216930 | − | 0.976187i | \(-0.430396\pi\) |
0.953868 | + | 0.300226i | \(0.0970622\pi\) | |||||||
\(660\) | −3.70474 | − | 2.22210i | −0.144207 | − | 0.0864953i | ||||
\(661\) | 38.3447i | 1.49144i | 0.666261 | + | 0.745718i | \(0.267894\pi\) | ||||
−0.666261 | + | 0.745718i | \(0.732106\pi\) | |||||||
\(662\) | 20.1830i | 0.784435i | ||||||||
\(663\) | 68.1409 | + | 40.8710i | 2.64637 | + | 1.58730i | ||||
\(664\) | 5.04638 | − | 2.91353i | 0.195838 | − | 0.113067i | ||||
\(665\) | 14.5730 | − | 9.30065i | 0.565116 | − | 0.360664i | ||||
\(666\) | −0.716039 | + | 21.4632i | −0.0277459 | + | 0.831684i | ||||
\(667\) | −3.60662 | + | 6.24686i | −0.139649 | + | 0.241879i | ||||
\(668\) | −2.85878 | + | 4.95155i | −0.110610 | + | 0.191581i | ||||
\(669\) | −0.106725 | + | 6.39993i | −0.00412622 | + | 0.247435i | ||||
\(670\) | 10.0769 | − | 5.81791i | 0.389305 | − | 0.224765i | ||||
\(671\) | 0.727706 | − | 1.26042i | 0.0280928 | − | 0.0486581i | ||||
\(672\) | 0.127243 | + | 4.58081i | 0.00490852 | + | 0.176709i | ||||
\(673\) | −8.33538 | − | 14.4373i | −0.321305 | − | 0.556517i | 0.659452 | − | 0.751746i | \(-0.270788\pi\) |
−0.980758 | + | 0.195229i | \(0.937455\pi\) | |||||||
\(674\) | −1.31221 | − | 0.757605i | −0.0505445 | − | 0.0291819i | ||||
\(675\) | −0.583902 | + | 0.903747i | −0.0224744 | + | 0.0347852i | ||||
\(676\) | −16.8207 | − | 29.1344i | −0.646951 | − | 1.12055i | ||||
\(677\) | 20.9365 | 0.804653 | 0.402327 | − | 0.915496i | \(-0.368202\pi\) | ||||
0.402327 | + | 0.915496i | \(0.368202\pi\) | |||||||
\(678\) | −10.0334 | − | 18.0676i | −0.385331 | − | 0.693881i | ||||
\(679\) | −11.2209 | − | 5.82968i | −0.430620 | − | 0.223723i | ||||
\(680\) | 13.2746 | + | 7.66407i | 0.509056 | + | 0.293903i | ||||
\(681\) | 3.87734 | + | 6.98208i | 0.148580 | + | 0.267554i | ||||
\(682\) | −1.91369 | − | 1.10487i | −0.0732789 | − | 0.0423076i | ||||
\(683\) | 6.62003 | − | 3.82208i | 0.253308 | − | 0.146248i | −0.367970 | − | 0.929838i | \(-0.619947\pi\) |
0.621278 | + | 0.783590i | \(0.286614\pi\) | |||||||
\(684\) | 0.286431 | − | 8.58575i | 0.0109519 | − | 0.328284i | ||||
\(685\) | 7.56016i | 0.288859i | ||||||||
\(686\) | 2.46207 | + | 18.3559i | 0.0940024 | + | 0.700831i | ||||
\(687\) | 0.460927 | − | 27.6402i | 0.0175855 | − | 1.05454i | ||||
\(688\) | −3.74246 | − | 6.48214i | −0.142680 | − | 0.247129i | ||||
\(689\) | 1.75123 | 0.0667167 | ||||||||
\(690\) | −7.49485 | − | 13.4963i | −0.285324 | − | 0.513794i | ||||
\(691\) | 10.5131i | 0.399937i | 0.979802 | + | 0.199969i | \(0.0640840\pi\) | ||||
−0.979802 | + | 0.199969i | \(0.935916\pi\) | |||||||
\(692\) | −15.2052 | −0.578013 | ||||||||
\(693\) | −7.46473 | + | 4.42092i | −0.283562 | + | 0.167937i | ||||
\(694\) | 36.0985 | 1.37028 | ||||||||
\(695\) | − | 7.92311i | − | 0.300541i | ||||||
\(696\) | −3.19821 | − | 0.0533331i | −0.121228 | − | 0.00202159i | ||||
\(697\) | −32.9838 | −1.24935 | ||||||||
\(698\) | 9.69727 | + | 16.7962i | 0.367047 | + | 0.635744i | ||||
\(699\) | 10.7988 | − | 5.99687i | 0.408448 | − | 0.226822i | ||||
\(700\) | 0.547313 | − | 0.0243412i | 0.0206865 | − | 0.000920011i | ||||
\(701\) | − | 15.7336i | − | 0.594250i | −0.954839 | − | 0.297125i | \(-0.903972\pi\) | ||
0.954839 | − | 0.297125i | \(-0.0960277\pi\) | |||||||
\(702\) | 19.2579 | − | 29.8069i | 0.726844 | − | 1.12499i | ||||
\(703\) | −17.7519 | + | 10.2491i | −0.669526 | + | 0.386551i | ||||
\(704\) | 0.946590 | + | 0.546514i | 0.0356759 | + | 0.0205975i | ||||
\(705\) | −26.8861 | − | 0.448352i | −1.01259 | − | 0.0168859i | ||||
\(706\) | −3.49717 | − | 2.01909i | −0.131618 | − | 0.0759895i | ||||
\(707\) | −27.6462 | + | 1.22954i | −1.03974 | + | 0.0462415i | ||||
\(708\) | 1.73017 | − | 2.88458i | 0.0650239 | − | 0.108409i | ||||
\(709\) | −2.89945 | −0.108891 | −0.0544456 | − | 0.998517i | \(-0.517339\pi\) | ||||
−0.0544456 | + | 0.998517i | \(0.517339\pi\) | |||||||
\(710\) | −0.266419 | − | 0.461452i | −0.00999854 | − | 0.0173180i | ||||
\(711\) | 10.2727 | + | 19.2477i | 0.385255 | + | 0.721845i | ||||
\(712\) | −15.5834 | − | 8.99707i | −0.584012 | − | 0.337179i | ||||
\(713\) | −3.94824 | − | 6.83855i | −0.147863 | − | 0.256106i | ||||
\(714\) | 26.2207 | − | 16.1255i | 0.981284 | − | 0.603481i | ||||
\(715\) | 8.51695 | − | 14.7518i | 0.318516 | − | 0.551686i | ||||
\(716\) | −3.51582 | + | 2.02986i | −0.131392 | + | 0.0758595i | ||||
\(717\) | −23.8177 | + | 13.2266i | −0.889489 | + | 0.493958i | ||||
\(718\) | 12.2773 | − | 21.2649i | 0.458184 | − | 0.793598i | ||||
\(719\) | 20.5644 | − | 35.6186i | 0.766924 | − | 1.32835i | −0.172299 | − | 0.985045i | \(-0.555120\pi\) |
0.939223 | − | 0.343307i | \(-0.111547\pi\) | |||||||
\(720\) | 3.61862 | − | 5.81113i | 0.134858 | − | 0.216568i | ||||
\(721\) | −29.9290 | − | 15.5492i | −1.11461 | − | 0.579082i | ||||
\(722\) | −9.35335 | + | 5.40016i | −0.348096 | + | 0.200973i | ||||
\(723\) | −2.43549 | + | 1.35250i | −0.0905769 | + | 0.0502999i | ||||
\(724\) | 3.68452i | 0.136934i | ||||||||
\(725\) | 0.382404i | 0.0142021i | ||||||||
\(726\) | 0.283172 | − | 16.9809i | 0.0105095 | − | 0.630220i | ||||
\(727\) | −33.6212 | + | 19.4112i | −1.24694 | + | 0.719921i | −0.970498 | − | 0.241109i | \(-0.922489\pi\) |
−0.276442 | + | 0.961031i | \(0.589155\pi\) | |||||||
\(728\) | −18.0512 | + | 0.802809i | −0.669022 | + | 0.0297541i | ||||
\(729\) | 26.8650 | + | 2.69675i | 0.995000 | + | 0.0998795i | ||||
\(730\) | 7.76339 | − | 13.4466i | 0.287336 | − | 0.497681i | ||||
\(731\) | −25.1391 | + | 43.5423i | −0.929804 | + | 1.61047i | ||||
\(732\) | 1.97781 | + | 1.18629i | 0.0731019 | + | 0.0438466i | ||||
\(733\) | 22.5362 | − | 13.0113i | 0.832394 | − | 0.480583i | −0.0222778 | − | 0.999752i | \(-0.507092\pi\) |
0.854672 | + | 0.519169i | \(0.173758\pi\) | |||||||
\(734\) | −3.62639 | + | 6.28109i | −0.133852 | + | 0.231839i | ||||
\(735\) | 12.0685 | − | 24.8956i | 0.445152 | − | 0.918288i | ||||
\(736\) | 1.95297 | + | 3.38264i | 0.0719873 | + | 0.124686i | ||||
\(737\) | −4.82683 | − | 2.78677i | −0.177799 | − | 0.102652i | ||||
\(738\) | −0.491167 | + | 14.7227i | −0.0180801 | + | 0.541951i | ||||
\(739\) | −3.70004 | − | 6.40866i | −0.136108 | − | 0.235746i | 0.789912 | − | 0.613220i | \(-0.210126\pi\) |
−0.926020 | + | 0.377474i | \(0.876793\pi\) | |||||||
\(740\) | −16.3347 | −0.600477 | ||||||||
\(741\) | 33.8676 | + | 0.564775i | 1.24416 | + | 0.0207475i | ||||
\(742\) | 0.312777 | − | 0.602031i | 0.0114824 | − | 0.0221013i | ||||
\(743\) | −24.3241 | − | 14.0435i | −0.892366 | − | 0.515208i | −0.0176504 | − | 0.999844i | \(-0.505619\pi\) |
−0.874716 | + | 0.484636i | \(0.838952\pi\) | |||||||
\(744\) | 1.80113 | − | 3.00288i | 0.0660327 | − | 0.110091i | ||||
\(745\) | −26.3637 | − | 15.2211i | −0.965892 | − | 0.557658i | ||||
\(746\) | 25.7939 | − | 14.8921i | 0.944380 | − | 0.545238i | ||||
\(747\) | −9.24051 | + | 14.8393i | −0.338092 | + | 0.542941i | ||||
\(748\) | − | 7.34216i | − | 0.268456i | ||||||
\(749\) | 1.12100 | + | 25.2057i | 0.0409604 | + | 0.920996i | ||||
\(750\) | 16.2453 | + | 9.74393i | 0.593194 | + | 0.355798i | ||||
\(751\) | −21.1897 | − | 36.7016i | −0.773221 | − | 1.33926i | −0.935789 | − | 0.352561i | \(-0.885311\pi\) |
0.162567 | − | 0.986697i | \(-0.448023\pi\) | |||||||
\(752\) | 6.80349 | 0.248098 | ||||||||
\(753\) | 16.3686 | − | 27.2901i | 0.596506 | − | 0.994507i | ||||
\(754\) | − | 12.6122i | − | 0.459311i | ||||||
\(755\) | 12.1851 | 0.443463 | ||||||||
\(756\) | −6.80734 | − | 11.9440i | −0.247581 | − | 0.434401i | ||||
\(757\) | −41.6462 | −1.51366 | −0.756828 | − | 0.653614i | \(-0.773252\pi\) | ||||
−0.756828 | + | 0.653614i | \(0.773252\pi\) | |||||||
\(758\) | − | 6.11280i | − | 0.222027i | ||||||
\(759\) | −3.80358 | + | 6.34140i | −0.138061 | + | 0.230178i | ||||
\(760\) | 6.53424 | 0.237022 | ||||||||
\(761\) | −17.4823 | − | 30.2802i | −0.633732 | − | 1.09766i | −0.986782 | − | 0.162051i | \(-0.948189\pi\) |
0.353051 | − | 0.935604i | \(-0.385144\pi\) | |||||||
\(762\) | −16.2101 | − | 9.72284i | −0.587230 | − | 0.352221i | ||||
\(763\) | 7.03199 | − | 13.5351i | 0.254575 | − | 0.490005i | ||||
\(764\) | 25.7989i | 0.933370i | ||||||||
\(765\) | −45.9588 | − | 1.53324i | −1.66164 | − | 0.0554344i | ||||
\(766\) | −28.1374 | + | 16.2451i | −1.01665 | + | 0.586961i | ||||
\(767\) | 11.4860 | + | 6.63146i | 0.414737 | + | 0.239448i | ||||
\(768\) | −0.890915 | + | 1.48535i | −0.0321481 | + | 0.0535980i | ||||
\(769\) | 18.9307 | + | 10.9296i | 0.682658 | + | 0.394133i | 0.800856 | − | 0.598857i | \(-0.204378\pi\) |
−0.118198 | + | 0.992990i | \(0.537712\pi\) | |||||||
\(770\) | −3.55015 | − | 5.56265i | −0.127938 | − | 0.200464i | ||||
\(771\) | −30.2609 | − | 0.504629i | −1.08982 | − | 0.0181738i | ||||
\(772\) | 9.28662 | 0.334233 | ||||||||
\(773\) | 10.6368 | + | 18.4235i | 0.382579 | + | 0.662646i | 0.991430 | − | 0.130638i | \(-0.0417026\pi\) |
−0.608851 | + | 0.793285i | \(0.708369\pi\) | |||||||
\(774\) | 19.0613 | + | 11.8695i | 0.685143 | + | 0.426642i | ||||
\(775\) | −0.362540 | − | 0.209312i | −0.0130228 | − | 0.00751872i | ||||
\(776\) | −2.38967 | − | 4.13903i | −0.0857842 | − | 0.148583i | ||||
\(777\) | −15.6068 | + | 28.8535i | −0.559891 | + | 1.03511i | ||||
\(778\) | 1.04105 | − | 1.80316i | 0.0373235 | − | 0.0646463i | ||||
\(779\) | −12.1769 | + | 7.03035i | −0.436284 | + | 0.251889i | ||||
\(780\) | 23.1479 | + | 13.8841i | 0.828829 | + | 0.497132i | ||||
\(781\) | −0.127615 | + | 0.221035i | −0.00456641 | + | 0.00790925i | ||||
\(782\) | 13.1186 | − | 22.7221i | 0.469120 | − | 0.812539i | ||||
\(783\) | 8.53986 | − | 4.37644i | 0.305190 | − | 0.156401i | ||||
\(784\) | −2.94803 | + | 6.34895i | −0.105287 | + | 0.226748i | ||||
\(785\) | −34.9138 | + | 20.1575i | −1.24613 | + | 0.719452i | ||||
\(786\) | −0.0571628 | + | 3.42786i | −0.00203893 | + | 0.122268i | ||||
\(787\) | − | 47.0237i | − | 1.67622i | −0.545505 | − | 0.838108i | \(-0.683662\pi\) | ||
0.545505 | − | 0.838108i | \(-0.316338\pi\) | |||||||
\(788\) | − | 5.86237i | − | 0.208838i | ||||||
\(789\) | −41.8146 | + | 23.2208i | −1.48864 | + | 0.826683i | ||||
\(790\) | −14.3718 | + | 8.29754i | −0.511325 | + | 0.295213i | ||||
\(791\) | −1.40260 | − | 31.5375i | −0.0498707 | − | 1.12134i | ||||
\(792\) | −3.27726 | − | 0.109333i | −0.116452 | − | 0.00388499i | ||||
\(793\) | −4.54685 | + | 7.87538i | −0.161463 | + | 0.279663i | ||||
\(794\) | 9.46822 | − | 16.3994i | 0.336015 | − | 0.581994i | ||||
\(795\) | −0.886027 | + | 0.492035i | −0.0314241 | + | 0.0174507i | ||||
\(796\) | 13.9117 | − | 8.03191i | 0.493086 | − | 0.284684i | ||||
\(797\) | 14.5203 | − | 25.1499i | 0.514336 | − | 0.890856i | −0.485526 | − | 0.874222i | \(-0.661372\pi\) |
0.999862 | − | 0.0166334i | \(-0.00529483\pi\) | |||||||
\(798\) | 6.24305 | − | 11.5420i | 0.221001 | − | 0.408582i | ||||
\(799\) | −22.8504 | − | 39.5781i | −0.808390 | − | 1.40017i | ||||
\(800\) | 0.179327 | + | 0.103535i | 0.00634018 | + | 0.00366051i | ||||
\(801\) | 53.9524 | + | 1.79991i | 1.90631 | + | 0.0635968i | ||||
\(802\) | −1.93827 | − | 3.35718i | −0.0684427 | − | 0.118546i | ||||
\(803\) | −7.43731 | −0.262457 | ||||||||
\(804\) | 4.54294 | − | 7.57408i | 0.160217 | − | 0.267117i | ||||
\(805\) | −1.04773 | − | 23.5581i | −0.0369275 | − | 0.830316i | ||||
\(806\) | 11.9571 | + | 6.90343i | 0.421171 | + | 0.243163i | ||||
\(807\) | 11.7281 | + | 0.195576i | 0.412847 | + | 0.00688461i | ||||
\(808\) | −9.05829 | − | 5.22981i | −0.318670 | − | 0.183984i | ||||
\(809\) | 47.5777 | − | 27.4690i | 1.67274 | − | 0.965759i | 0.706650 | − | 0.707563i | \(-0.250205\pi\) |
0.966093 | − | 0.258195i | \(-0.0831279\pi\) | |||||||
\(810\) | −1.36876 | + | 20.4914i | −0.0480933 | + | 0.719996i | ||||
\(811\) | 34.0190i | 1.19457i | 0.802030 | + | 0.597284i | \(0.203754\pi\) | ||||
−0.802030 | + | 0.597284i | \(0.796246\pi\) | |||||||
\(812\) | −4.33578 | − | 2.25260i | −0.152156 | − | 0.0790506i | ||||
\(813\) | −12.6559 | + | 7.02818i | −0.443862 | + | 0.246489i | ||||
\(814\) | 3.91216 | + | 6.77606i | 0.137121 | + | 0.237501i | ||||
\(815\) | 36.2783 | 1.27077 | ||||||||
\(816\) | 11.6330 | + | 0.193992i | 0.407237 | + | 0.00679107i | ||||
\(817\) | 21.4332i | 0.749851i | ||||||||
\(818\) | −16.1988 | −0.566378 | ||||||||
\(819\) | 46.6411 | − | 27.6228i | 1.62977 | − | 0.965218i | ||||
\(820\) | −11.2048 | −0.391290 | ||||||||
\(821\) | 8.00116i | 0.279243i | 0.990205 | + | 0.139621i | \(0.0445885\pi\) | ||||
−0.990205 | + | 0.139621i | \(0.955411\pi\) | |||||||
\(822\) | 2.78597 | + | 5.01680i | 0.0971717 | + | 0.174981i | ||||
\(823\) | 7.02491 | 0.244873 | 0.122436 | − | 0.992476i | \(-0.460929\pi\) | ||||
0.122436 | + | 0.992476i | \(0.460929\pi\) | |||||||
\(824\) | −6.37383 | − | 11.0398i | −0.222043 | − | 0.384590i | ||||
\(825\) | −0.00653639 | + | 0.391965i | −0.000227568 | + | 0.0136465i | ||||
\(826\) | 4.33119 | − | 2.76421i | 0.150701 | − | 0.0961793i | ||||
\(827\) | 37.4952i | 1.30384i | 0.758290 | + | 0.651918i | \(0.226035\pi\) | ||||
−0.758290 | + | 0.651918i | \(0.773965\pi\) | |||||||
\(828\) | −9.94691 | − | 6.19400i | −0.345679 | − | 0.215256i | ||||
\(829\) | −2.96310 | + | 1.71074i | −0.102913 | + | 0.0594166i | −0.550573 | − | 0.834787i | \(-0.685591\pi\) |
0.447660 | + | 0.894204i | \(0.352257\pi\) | |||||||
\(830\) | −11.5153 | − | 6.64838i | −0.399703 | − | 0.230769i | ||||
\(831\) | 13.6329 | + | 24.5492i | 0.472919 | + | 0.851603i | ||||
\(832\) | −5.91448 | − | 3.41473i | −0.205048 | − | 0.118384i | ||||
\(833\) | 46.8352 | − | 4.17416i | 1.62274 | − | 0.144626i | ||||
\(834\) | −2.91972 | − | 5.25765i | −0.101102 | − | 0.182057i | ||||
\(835\) | 13.0469 | 0.451507 | ||||||||
\(836\) | −1.56495 | − | 2.71057i | −0.0541248 | − | 0.0937470i | ||||
\(837\) | −0.525268 | + | 10.4917i | −0.0181559 | + | 0.362647i | ||||
\(838\) | 2.83692 | + | 1.63790i | 0.0979998 | + | 0.0565802i | ||||
\(839\) | 4.87530 | + | 8.44428i | 0.168314 | + | 0.291529i | 0.937827 | − | 0.347102i | \(-0.112834\pi\) |
−0.769513 | + | 0.638631i | \(0.779501\pi\) | |||||||
\(840\) | 8.90734 | − | 5.47793i | 0.307332 | − | 0.189007i | ||||
\(841\) | −12.7948 | + | 22.1612i | −0.441199 | + | 0.764179i | ||||
\(842\) | −1.46328 | + | 0.844823i | −0.0504278 | + | 0.0291145i | ||||
\(843\) | 0.844858 | − | 50.6633i | 0.0290985 | − | 1.74494i | ||||
\(844\) | −12.3741 | + | 21.4325i | −0.425933 | + | 0.737738i | ||||
\(845\) | −38.3832 | + | 66.4817i | −1.32042 | + | 2.28704i | ||||
\(846\) | −18.0064 | + | 9.61019i | −0.619073 | + | 0.330405i | ||||
\(847\) | 11.9602 | − | 23.0209i | 0.410956 | − | 0.791006i | ||||
\(848\) | 0.222069 | − | 0.128212i | 0.00762589 | − | 0.00440281i | ||||
\(849\) | 2.13071 | + | 1.27800i | 0.0731259 | + | 0.0438610i | ||||
\(850\) | − | 1.39094i | − | 0.0477089i | ||||||
\(851\) | 27.9602i | 0.958463i | ||||||||
\(852\) | −0.346839 | − | 0.208035i | −0.0118825 | − | 0.00712715i | ||||
\(853\) | −21.2846 | + | 12.2887i | −0.728771 | + | 0.420756i | −0.817972 | − | 0.575258i | \(-0.804902\pi\) |
0.0892016 | + | 0.996014i | \(0.471568\pi\) | |||||||
\(854\) | 1.89528 | + | 2.96967i | 0.0648551 | + | 0.101620i | ||||
\(855\) | −17.2938 | + | 9.22987i | −0.591436 | + | 0.315655i | ||||
\(856\) | −4.76813 | + | 8.25865i | −0.162971 | + | 0.282275i | ||||
\(857\) | −14.9684 | + | 25.9260i | −0.511309 | + | 0.885614i | 0.488605 | + | 0.872505i | \(0.337506\pi\) |
−0.999914 | + | 0.0131086i | \(0.995827\pi\) | |||||||
\(858\) | 0.215580 | − | 12.9276i | 0.00735977 | − | 0.441341i | ||||
\(859\) | −46.6403 | + | 26.9278i | −1.59135 | + | 0.918765i | −0.598271 | + | 0.801294i | \(0.704145\pi\) |
−0.993076 | + | 0.117471i | \(0.962521\pi\) | |||||||
\(860\) | −8.53993 | + | 14.7916i | −0.291209 | + | 0.504389i | ||||
\(861\) | −10.7055 | + | 19.7921i | −0.364842 | + | 0.674512i | ||||
\(862\) | −0.00906921 | − | 0.0157083i | −0.000308899 | − | 0.000535028i | ||||
\(863\) | −42.6599 | − | 24.6297i | −1.45216 | − | 0.838404i | −0.453555 | − | 0.891228i | \(-0.649844\pi\) |
−0.998604 | + | 0.0528239i | \(0.983178\pi\) | |||||||
\(864\) | 0.259820 | − | 5.18965i | 0.00883924 | − | 0.176556i | ||||
\(865\) | 17.3483 | + | 30.0482i | 0.589861 | + | 1.02167i | ||||
\(866\) | 5.36964 | 0.182468 | ||||||||
\(867\) | −23.6473 | − | 42.5827i | −0.803106 | − | 1.44618i | ||||
\(868\) | 4.50882 | − | 2.87758i | 0.153039 | − | 0.0976714i | ||||
\(869\) | 6.88406 | + | 3.97451i | 0.233526 | + | 0.134826i | ||||
\(870\) | 3.54360 | + | 6.38110i | 0.120139 | + | 0.216339i | ||||
\(871\) | 30.1590 | + | 17.4123i | 1.02190 | + | 0.589994i | ||||
\(872\) | 4.99266 | − | 2.88251i | 0.169073 | − | 0.0976142i | ||||
\(873\) | 12.1712 | + | 7.57904i | 0.411931 | + | 0.256512i | ||||
\(874\) | − | 11.1847i | − | 0.378327i | ||||||
\(875\) | 15.5674 | + | 24.3922i | 0.526274 | + | 0.824608i | ||||
\(876\) | 0.196506 | − | 11.7838i | 0.00663931 | − | 0.398137i | ||||
\(877\) | −9.80382 | − | 16.9807i | −0.331051 | − | 0.573398i | 0.651667 | − | 0.758505i | \(-0.274070\pi\) |
−0.982718 | + | 0.185108i | \(0.940737\pi\) | |||||||
\(878\) | −21.8401 | −0.737068 | ||||||||
\(879\) | −18.2070 | − | 32.7860i | −0.614106 | − | 1.10584i | ||||
\(880\) | − | 2.49418i | − | 0.0840788i | ||||||
\(881\) | −6.20452 | −0.209036 | −0.104518 | − | 0.994523i | \(-0.533330\pi\) | ||||
−0.104518 | + | 0.994523i | \(0.533330\pi\) | |||||||
\(882\) | −1.16575 | − | 20.9676i | −0.0392530 | − | 0.706016i | ||||
\(883\) | 26.8733 | 0.904359 | 0.452180 | − | 0.891927i | \(-0.350647\pi\) | ||||
0.452180 | + | 0.891927i | \(0.350647\pi\) | |||||||
\(884\) | 45.8753i | 1.54295i | ||||||||
\(885\) | −7.67450 | − | 0.127980i | −0.257976 | − | 0.00430199i | ||||
\(886\) | −2.09931 | −0.0705278 | ||||||||
\(887\) | 2.93679 | + | 5.08668i | 0.0986079 | + | 0.170794i | 0.911109 | − | 0.412166i | \(-0.135228\pi\) |
−0.812501 | + | 0.582960i | \(0.801894\pi\) | |||||||
\(888\) | −10.8395 | + | 6.01946i | −0.363749 | + | 0.202000i | ||||
\(889\) | −15.5337 | − | 24.3394i | −0.520983 | − | 0.816318i | ||||
\(890\) | 41.0608i | 1.37636i | ||||||||
\(891\) | 8.82818 | − | 4.33989i | 0.295755 | − | 0.145392i | ||||
\(892\) | −3.20041 | + | 1.84776i | −0.107158 | + | 0.0618675i | ||||
\(893\) | −16.8718 | − | 9.74092i | −0.564592 | − | 0.325968i | ||||
\(894\) | −23.1036 | − | 0.385274i | −0.772700 | − | 0.0128855i | ||||
\(895\) | 8.02276 | + | 4.63194i | 0.268171 | + | 0.154829i | ||||
\(896\) | −2.23025 | + | 1.42337i | −0.0745074 | + | 0.0475515i | ||||
\(897\) | 23.7655 | − | 39.6223i | 0.793507 | − | 1.32295i | ||||
\(898\) | −27.1356 | −0.905525 | ||||||||
\(899\) | 1.86675 | + | 3.23330i | 0.0622595 | + | 0.107837i | ||||
\(900\) | −0.620863 | − | 0.0207127i | −0.0206954 | − | 0.000690423i | ||||
\(901\) | −1.49170 | − | 0.861233i | −0.0496957 | − | 0.0286918i | ||||
\(902\) | 2.68355 | + | 4.64805i | 0.0893525 | + | 0.154763i | ||||
\(903\) | 17.9683 | + | 29.2172i | 0.597948 | + | 0.972289i | ||||
\(904\) | 5.96592 | − | 10.3333i | 0.198424 | − | 0.343680i | ||||
\(905\) | 7.28130 | − | 4.20386i | 0.242039 | − | 0.139741i | ||||
\(906\) | 8.08586 | − | 4.49030i | 0.268635 | − | 0.149180i | ||||
\(907\) | 24.6305 | − | 42.6613i | 0.817842 | − | 1.41654i | −0.0894269 | − | 0.995993i | \(-0.528504\pi\) |
0.907269 | − | 0.420551i | \(-0.138163\pi\) | |||||||
\(908\) | −2.30549 | + | 3.99322i | −0.0765102 | + | 0.132520i | ||||
\(909\) | 31.3614 | + | 1.04625i | 1.04019 | + | 0.0347020i | ||||
\(910\) | 22.1820 | + | 34.7565i | 0.735327 | + | 1.15217i | ||||
\(911\) | 14.0032 | − | 8.08474i | 0.463946 | − | 0.267859i | −0.249756 | − | 0.968309i | \(-0.580350\pi\) |
0.713702 | + | 0.700450i | \(0.247017\pi\) | |||||||
\(912\) | 4.33601 | − | 2.40791i | 0.143580 | − | 0.0797338i | ||||
\(913\) | 6.36914i | 0.210788i | ||||||||
\(914\) | − | 8.43196i | − | 0.278905i | ||||||
\(915\) | 0.0877489 | − | 5.26201i | 0.00290089 | − | 0.173957i | ||||
\(916\) | 13.8220 | − | 7.98016i | 0.456693 | − | 0.263672i | ||||
\(917\) | −2.41435 | + | 4.64713i | −0.0797289 | + | 0.153462i | ||||
\(918\) | −31.0625 | + | 15.9187i | −1.02522 | + | 0.525395i | ||||
\(919\) | −26.5159 | + | 45.9269i | −0.874680 | + | 1.51499i | −0.0175762 | + | 0.999846i | \(0.505595\pi\) |
−0.857104 | + | 0.515144i | \(0.827738\pi\) | |||||||
\(920\) | 4.45647 | − | 7.71884i | 0.146926 | − | 0.254482i | ||||
\(921\) | 20.0125 | + | 12.0035i | 0.659433 | + | 0.395529i | ||||
\(922\) | 8.09133 | − | 4.67153i | 0.266474 | − | 0.153849i | ||||
\(923\) | 0.797361 | − | 1.38107i | 0.0262455 | − | 0.0454585i | ||||
\(924\) | −4.40569 | − | 2.38303i | −0.144936 | − | 0.0783959i | ||||
\(925\) | 0.741142 | + | 1.28370i | 0.0243686 | + | 0.0422077i | ||||
\(926\) | 22.0458 | + | 12.7281i | 0.724469 | + | 0.418272i | ||||
\(927\) | 32.4634 | + | 20.2152i | 1.06624 | + | 0.663953i | ||||
\(928\) | −0.923371 | − | 1.59933i | −0.0303112 | − | 0.0525005i | ||||
\(929\) | 2.95169 | 0.0968418 | 0.0484209 | − | 0.998827i | \(-0.484581\pi\) | ||||
0.0484209 | + | 0.998827i | \(0.484581\pi\) | |||||||
\(930\) | −7.98925 | − | 0.133228i | −0.261978 | − | 0.00436873i | ||||
\(931\) | 16.4009 | − | 11.5237i | 0.537517 | − | 0.377675i | ||||
\(932\) | 6.17609 | + | 3.56577i | 0.202305 | + | 0.116801i | ||||
\(933\) | 25.5994 | − | 42.6798i | 0.838086 | − | 1.39727i | ||||
\(934\) | 17.8746 | + | 10.3199i | 0.584873 | + | 0.337677i | ||||
\(935\) | −14.5095 | + | 8.37704i | −0.474510 | + | 0.273958i | ||||
\(936\) | 20.4770 | + | 0.683135i | 0.669311 | + | 0.0223290i | ||||
\(937\) | − | 27.1986i | − | 0.888540i | −0.895893 | − | 0.444270i | \(-0.853463\pi\) | ||
0.895893 | − | 0.444270i | \(-0.146537\pi\) | |||||||
\(938\) | 11.3724 | − | 7.25803i | 0.371323 | − | 0.236983i | ||||
\(939\) | 35.0979 | + | 21.0517i | 1.14538 | + | 0.686998i | ||||
\(940\) | −7.76244 | − | 13.4449i | −0.253183 | − | 0.438526i | ||||
\(941\) | −15.1273 | −0.493137 | −0.246568 | − | 0.969125i | \(-0.579303\pi\) | ||||
−0.246568 | + | 0.969125i | \(0.579303\pi\) | |||||||
\(942\) | −15.7401 | + | 26.2421i | −0.512839 | + | 0.855015i | ||||
\(943\) | 19.1793i | 0.624565i | ||||||||
\(944\) | 1.94202 | 0.0632073 | ||||||||
\(945\) | −15.8368 | + | 27.0801i | −0.515171 | + | 0.880916i | ||||
\(946\) | 8.18124 | 0.265995 | ||||||||
\(947\) | − | 18.1062i | − | 0.588371i | −0.955748 | − | 0.294186i | \(-0.904952\pi\) | ||
0.955748 | − | 0.294186i | \(-0.0950484\pi\) | |||||||
\(948\) | −6.47917 | + | 10.8022i | −0.210434 | + | 0.350839i | ||||
\(949\) | 46.4698 | 1.50847 | ||||||||
\(950\) | −0.296473 | − | 0.513506i | −0.00961884 | − | 0.0166603i | ||||
\(951\) | −1.30366 | − | 0.781939i | −0.0422742 | − | 0.0253561i | ||||
\(952\) | 15.7708 | + | 8.19350i | 0.511135 | + | 0.265553i | ||||
\(953\) | − | 31.8552i | − | 1.03189i | −0.856621 | − | 0.515946i | \(-0.827441\pi\) | ||
0.856621 | − | 0.515946i | \(-0.172559\pi\) | |||||||
\(954\) | −0.406635 | + | 0.653013i | −0.0131653 | + | 0.0211421i | ||||
\(955\) | 50.9833 | − | 29.4352i | 1.64978 | − | 0.952501i | ||||
\(956\) | −13.6219 | − | 7.86462i | −0.440565 | − | 0.254360i | ||||
\(957\) | 1.79835 | − | 2.99824i | 0.0581324 | − | 0.0969195i | ||||
\(958\) | −5.32505 | − | 3.07442i | −0.172045 | − | 0.0993300i | ||||
\(959\) | 0.389458 | + | 8.75697i | 0.0125762 | + | 0.282777i | ||||
\(960\) | 3.95182 | + | 0.0659003i | 0.127544 | + | 0.00212692i | ||||
\(961\) | 26.9129 | 0.868157 | ||||||||
\(962\) | −24.4440 | − | 42.3382i | −0.788105 | − | 1.36504i | ||||
\(963\) | 0.953892 | − | 28.5929i | 0.0307387 | − | 0.921393i | ||||
\(964\) | −1.39292 | − | 0.804201i | −0.0448628 | − | 0.0259016i | ||||
\(965\) | −10.5956 | − | 18.3521i | −0.341084 | − | 0.590774i | ||||
\(966\) | −9.37658 | − | 15.2467i | −0.301686 | − | 0.490555i | ||||
\(967\) | 1.32305 | − | 2.29159i | 0.0425464 | − | 0.0736925i | −0.843968 | − | 0.536393i | \(-0.819786\pi\) |
0.886514 | + | 0.462701i | \(0.153120\pi\) | |||||||
\(968\) | 8.49163 | − | 4.90265i | 0.272931 | − | 0.157577i | ||||
\(969\) | −28.5707 | − | 17.1367i | −0.917822 | − | 0.550511i | ||||
\(970\) | −5.45299 | + | 9.44486i | −0.175085 | + | 0.303256i | ||||
\(971\) | −17.9023 | + | 31.0077i | −0.574513 | + | 0.995086i | 0.421581 | + | 0.906791i | \(0.361475\pi\) |
−0.996094 | + | 0.0882950i | \(0.971858\pi\) | |||||||
\(972\) | 6.64294 | + | 14.1022i | 0.213072 | + | 0.452328i | ||||
\(973\) | −0.408155 | − | 9.17739i | −0.0130849 | − | 0.294214i | ||||
\(974\) | −17.0843 | + | 9.86365i | −0.547418 | + | 0.316052i | ||||
\(975\) | 0.0408406 | − | 2.44908i | 0.00130795 | − | 0.0784332i | ||||
\(976\) | 1.33154i | 0.0426216i | ||||||||
\(977\) | 4.42710i | 0.141636i | 0.997489 | + | 0.0708178i | \(0.0225609\pi\) | ||||
−0.997489 | + | 0.0708178i | \(0.977439\pi\) | |||||||
\(978\) | 24.0737 | − | 13.3688i | 0.769792 | − | 0.427487i | ||||
\(979\) | 17.0331 | − | 9.83405i | 0.544379 | − | 0.314298i | ||||
\(980\) | 15.9102 | − | 1.41799i | 0.508234 | − | 0.0452960i | ||||
\(981\) | −9.14214 | + | 14.6813i | −0.291886 | + | 0.468738i | ||||
\(982\) | 1.97994 | − | 3.42935i | 0.0631823 | − | 0.109435i | ||||
\(983\) | −8.90634 | + | 15.4262i | −0.284068 | + | 0.492021i | −0.972383 | − | 0.233392i | \(-0.925018\pi\) |
0.688315 | + | 0.725412i | \(0.258351\pi\) | |||||||
\(984\) | −7.43534 | + | 4.12905i | −0.237030 | + | 0.131629i | ||||
\(985\) | −11.5851 | + | 6.68868i | −0.369133 | + | 0.213119i | ||||
\(986\) | −6.20253 | + | 10.7431i | −0.197529 | + | 0.342130i | ||||
\(987\) | −31.1655 | + | 0.865698i | −0.992008 | + | 0.0275555i | ||||
\(988\) | 9.77810 | + | 16.9362i | 0.311083 | + | 0.538811i | ||||
\(989\) | 25.3188 | + | 14.6178i | 0.805091 | + | 0.464819i | ||||
\(990\) | 3.52313 | + | 6.60121i | 0.111972 | + | 0.209800i | ||||
\(991\) | 7.62877 | + | 13.2134i | 0.242336 | + | 0.419738i | 0.961379 | − | 0.275227i | \(-0.0887531\pi\) |
−0.719043 | + | 0.694965i | \(0.755420\pi\) | |||||||
\(992\) | 2.02166 | 0.0641879 | ||||||||
\(993\) | 17.9814 | − | 29.9789i | 0.570621 | − | 0.951351i | ||||
\(994\) | −0.332367 | − | 0.520778i | −0.0105420 | − | 0.0165181i | ||||
\(995\) | −31.7451 | − | 18.3280i | −1.00639 | − | 0.581037i | ||||
\(996\) | −10.0914 | − | 0.168283i | −0.319757 | − | 0.00533225i | ||||
\(997\) | 35.7668 | + | 20.6500i | 1.13275 | + | 0.653991i | 0.944624 | − | 0.328155i | \(-0.106427\pi\) |
0.188122 | + | 0.982146i | \(0.439760\pi\) | |||||||
\(998\) | 31.8856 | − | 18.4092i | 1.00932 | − | 0.582732i | ||||
\(999\) | 20.1855 | − | 31.2425i | 0.638641 | − | 0.988470i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))