Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(647,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.647");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.k (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: | \(9.05503558921\) |
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: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{4} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 647.1 | ||
Root | \(1.73109 + 0.0577511i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.647 |
Dual form | 1134.2.k.b.971.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | + | 0.500000i | −0.612372 | + | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −1.14095 | − | 1.97618i | −0.510248 | − | 0.883776i | −0.999929 | − | 0.0118746i | \(-0.996220\pi\) |
0.489681 | − | 0.871902i | \(-0.337113\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.64314 | − | 0.117551i | −0.999012 | − | 0.0444301i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 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 | 0 | ||||||||
\(13\) | 6.82946i | 1.89415i | 0.321012 | + | 0.947075i | \(0.395977\pi\) | ||||
−0.321012 | + | 0.947075i | \(0.604023\pi\) | |||||||
\(14\) | 2.34780 | − | 1.21977i | 0.627476 | − | 0.325996i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 3.35863 | − | 5.81732i | 0.814588 | − | 1.41091i | −0.0950352 | − | 0.995474i | \(-0.530296\pi\) |
0.909623 | − | 0.415434i | \(-0.136370\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.47987 | + | 1.43175i | −0.568922 | + | 0.328467i | −0.756718 | − | 0.653741i | \(-0.773199\pi\) |
0.187797 | + | 0.982208i | \(0.439865\pi\) | |||||||
\(20\) | −2.28190 | −0.510248 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.09303 | 0.233034 | ||||||||
\(23\) | −3.38264 | + | 1.95297i | −0.705328 | + | 0.407221i | −0.809329 | − | 0.587356i | \(-0.800169\pi\) |
0.104001 | + | 0.994577i | \(0.466836\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.103535 | + | 0.179327i | −0.0207069 | + | 0.0358655i | ||||
\(26\) | −3.41473 | − | 5.91448i | −0.669683 | − | 1.15993i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.42337 | + | 2.23025i | −0.268992 | + | 0.421478i | ||||
\(29\) | 1.84674i | 0.342932i | 0.985190 | + | 0.171466i | \(0.0548503\pi\) | ||||
−0.985190 | + | 0.171466i | \(0.945150\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.75081 | + | 1.01083i | 0.314455 | + | 0.181551i | 0.648918 | − | 0.760858i | \(-0.275222\pi\) |
−0.334463 | + | 0.942409i | \(0.608555\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.71727i | 1.15200i | ||||||||
\(35\) | 2.78339 | + | 5.35745i | 0.470478 | + | 0.905574i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.57920 | + | 6.19935i | 0.588416 | + | 1.01917i | 0.994440 | + | 0.105305i | \(0.0335818\pi\) |
−0.406024 | + | 0.913863i | \(0.633085\pi\) | |||||||
\(38\) | 1.43175 | − | 2.47987i | 0.232261 | − | 0.402288i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.97618 | − | 1.14095i | 0.312462 | − | 0.180400i | ||||
\(41\) | 4.91031 | 0.766861 | 0.383431 | − | 0.923570i | \(-0.374743\pi\) | ||||
0.383431 | + | 0.923570i | \(0.374743\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.48493 | 1.14144 | 0.570721 | − | 0.821144i | \(-0.306664\pi\) | ||||
0.570721 | + | 0.821144i | \(0.306664\pi\) | |||||||
\(44\) | −0.946590 | + | 0.546514i | −0.142704 | + | 0.0823901i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.95297 | − | 3.38264i | 0.287949 | − | 0.498742i | ||||
\(47\) | 3.40174 | + | 5.89199i | 0.496195 | + | 0.859435i | 0.999990 | − | 0.00438774i | \(-0.00139666\pi\) |
−0.503795 | + | 0.863823i | \(0.668063\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.97236 | + | 0.621407i | 0.996052 | + | 0.0887724i | ||||
\(50\) | − | 0.207069i | − | 0.0292840i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 5.91448 | + | 3.41473i | 0.820191 | + | 0.473538i | ||||
\(53\) | −0.222069 | − | 0.128212i | −0.0305036 | − | 0.0176112i | 0.484671 | − | 0.874697i | \(-0.338939\pi\) |
−0.515174 | + | 0.857085i | \(0.672273\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.49418i | 0.336315i | ||||||||
\(56\) | 0.117551 | − | 2.64314i | 0.0157084 | − | 0.353204i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.923371 | − | 1.59933i | −0.121245 | − | 0.210002i | ||||
\(59\) | 0.971009 | − | 1.68184i | 0.126415 | − | 0.218957i | −0.795870 | − | 0.605467i | \(-0.792986\pi\) |
0.922285 | + | 0.386510i | \(0.126320\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.15315 | + | 0.665771i | −0.147646 | + | 0.0852432i | −0.572003 | − | 0.820252i | \(-0.693833\pi\) |
0.424357 | + | 0.905495i | \(0.360500\pi\) | |||||||
\(62\) | −2.02166 | −0.256752 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 13.4963 | − | 7.79207i | 1.67400 | − | 0.966487i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.54959 | + | 4.41602i | −0.311482 | + | 0.539503i | −0.978683 | − | 0.205375i | \(-0.934159\pi\) |
0.667201 | + | 0.744877i | \(0.267492\pi\) | |||||||
\(68\) | −3.35863 | − | 5.81732i | −0.407294 | − | 0.705454i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.08921 | − | 3.24799i | −0.608277 | − | 0.388209i | ||||
\(71\) | − | 0.233507i | − | 0.0277121i | −0.999904 | − | 0.0138561i | \(-0.995589\pi\) | ||
0.999904 | − | 0.0138561i | \(-0.00441066\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.89272 | + | 3.40216i | 0.689690 | + | 0.398193i | 0.803496 | − | 0.595310i | \(-0.202971\pi\) |
−0.113806 | + | 0.993503i | \(0.536304\pi\) | |||||||
\(74\) | −6.19935 | − | 3.57920i | −0.720660 | − | 0.416073i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.86351i | 0.328467i | ||||||||
\(77\) | 2.43773 | + | 1.55578i | 0.277805 | + | 0.177298i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.63624 | + | 6.29816i | 0.409109 | + | 0.708598i | 0.994790 | − | 0.101944i | \(-0.0325062\pi\) |
−0.585681 | + | 0.810542i | \(0.699173\pi\) | |||||||
\(80\) | −1.14095 | + | 1.97618i | −0.127562 | + | 0.220944i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.25245 | + | 2.45515i | −0.469605 | + | 0.271126i | ||||
\(83\) | −5.82706 | −0.639603 | −0.319801 | − | 0.947485i | \(-0.603616\pi\) | ||||
−0.319801 | + | 0.947485i | \(0.603616\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −15.3281 | −1.66257 | ||||||||
\(86\) | −6.48214 | + | 3.74246i | −0.698987 | + | 0.403560i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.546514 | − | 0.946590i | 0.0582586 | − | 0.100907i | ||||
\(89\) | 8.99707 | + | 15.5834i | 0.953687 | + | 1.65184i | 0.737344 | + | 0.675518i | \(0.236080\pi\) |
0.216344 | + | 0.976317i | \(0.430587\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.802809 | − | 18.0512i | 0.0841573 | − | 1.89228i | ||||
\(92\) | 3.90593i | 0.407221i | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −5.89199 | − | 3.40174i | −0.607713 | − | 0.350863i | ||||
\(95\) | 5.65882 | + | 3.26712i | 0.580583 | + | 0.335200i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.77934i | 0.485269i | 0.970118 | + | 0.242634i | \(0.0780115\pi\) | ||||
−0.970118 | + | 0.242634i | \(0.921989\pi\) | |||||||
\(98\) | −6.34895 | + | 2.94803i | −0.641341 | + | 0.297796i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.103535 | + | 0.179327i | 0.0103535 | + | 0.0179327i | ||||
\(101\) | 5.22981 | − | 9.05829i | 0.520385 | − | 0.901334i | −0.479334 | − | 0.877633i | \(-0.659122\pi\) |
0.999719 | − | 0.0237012i | \(-0.00754505\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 11.0398 | − | 6.37383i | 1.08778 | − | 0.628033i | 0.154799 | − | 0.987946i | \(-0.450527\pi\) |
0.932986 | + | 0.359914i | \(0.117194\pi\) | |||||||
\(104\) | −6.82946 | −0.669683 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.256424 | 0.0249061 | ||||||||
\(107\) | −8.25865 | + | 4.76813i | −0.798394 | + | 0.460953i | −0.842909 | − | 0.538056i | \(-0.819159\pi\) |
0.0445153 | + | 0.999009i | \(0.485826\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.88251 | + | 4.99266i | −0.276095 | + | 0.478210i | −0.970411 | − | 0.241460i | \(-0.922374\pi\) |
0.694316 | + | 0.719670i | \(0.255707\pi\) | |||||||
\(110\) | −1.24709 | − | 2.16002i | −0.118905 | − | 0.205950i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.21977 | + | 2.34780i | 0.115257 | + | 0.221846i | ||||
\(113\) | 11.9318i | 1.12245i | 0.827662 | + | 0.561227i | \(0.189670\pi\) | ||||
−0.827662 | + | 0.561227i | \(0.810330\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.71884 | + | 4.45647i | 0.719785 | + | 0.415568i | ||||
\(116\) | 1.59933 | + | 0.923371i | 0.148494 | + | 0.0857329i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.94202i | 0.178777i | ||||||||
\(119\) | −9.56116 | + | 14.9812i | −0.876470 | + | 1.37332i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.90265 | − | 8.49163i | −0.445695 | − | 0.771966i | ||||
\(122\) | 0.665771 | − | 1.15315i | 0.0602760 | − | 0.104401i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.75081 | − | 1.01083i | 0.157228 | − | 0.0907754i | ||||
\(125\) | −10.9370 | −0.978234 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.9133 | −0.968400 | −0.484200 | − | 0.874957i | \(-0.660889\pi\) | ||||
−0.484200 | + | 0.874957i | \(0.660889\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −7.79207 | + | 13.4963i | −0.683410 | + | 1.18370i | ||||
\(131\) | −0.989677 | − | 1.71417i | −0.0864684 | − | 0.149768i | 0.819548 | − | 0.573011i | \(-0.194225\pi\) |
−0.906016 | + | 0.423243i | \(0.860892\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 6.72295 | − | 3.49281i | 0.582954 | − | 0.302865i | ||||
\(134\) | − | 5.09918i | − | 0.440502i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 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 | \(0.621465\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 3.47216i | − | 0.294504i | −0.989099 | − | 0.147252i | \(-0.952957\pi\) | ||
0.989099 | − | 0.147252i | \(-0.0470429\pi\) | |||||||
\(140\) | 6.03138 | + | 0.268240i | 0.509745 | + | 0.0226704i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.116753 | + | 0.202223i | 0.00979772 | + | 0.0169701i | ||||
\(143\) | 3.73239 | − | 6.46469i | 0.312118 | − | 0.540605i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.64950 | − | 2.10704i | 0.303075 | − | 0.174980i | ||||
\(146\) | −6.80432 | −0.563130 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 7.15840 | 0.588416 | ||||||||
\(149\) | −11.5534 | + | 6.67036i | −0.946492 | + | 0.546457i | −0.891989 | − | 0.452056i | \(-0.850691\pi\) |
−0.0545027 | + | 0.998514i | \(0.517357\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 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 | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.88902 | − | 0.128486i | −0.232804 | − | 0.0103537i | ||||
\(155\) | − | 4.61324i | − | 0.370544i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 15.3003 | + | 8.83364i | 1.22110 | + | 0.705002i | 0.965152 | − | 0.261689i | \(-0.0842796\pi\) |
0.255946 | + | 0.966691i | \(0.417613\pi\) | |||||||
\(158\) | −6.29816 | − | 3.63624i | −0.501054 | − | 0.289284i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | − | 2.28190i | − | 0.180400i | ||||||
\(161\) | 9.17035 | − | 4.76433i | 0.722725 | − | 0.375481i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.94915 | + | 13.7683i | 0.622625 | + | 1.07842i | 0.988995 | + | 0.147949i | \(0.0472672\pi\) |
−0.366370 | + | 0.930469i | \(0.619400\pi\) | |||||||
\(164\) | 2.45515 | − | 4.25245i | 0.191715 | − | 0.332061i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.04638 | − | 2.91353i | 0.391675 | − | 0.226134i | ||||
\(167\) | 5.71756 | 0.442438 | 0.221219 | − | 0.975224i | \(-0.428996\pi\) | ||||
0.221219 | + | 0.975224i | \(0.428996\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −33.6415 | −2.58780 | ||||||||
\(170\) | 13.2746 | − | 7.66407i | 1.01811 | − | 0.587807i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.74246 | − | 6.48214i | 0.285360 | − | 0.494258i | ||||
\(173\) | 7.60258 | + | 13.1681i | 0.578013 | + | 1.00115i | 0.995707 | + | 0.0925606i | \(0.0295052\pi\) |
−0.417694 | + | 0.908588i | \(0.637161\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.294737 | − | 0.461817i | 0.0222800 | − | 0.0349101i | ||||
\(176\) | 1.09303i | 0.0823901i | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −15.5834 | − | 8.99707i | −1.16802 | − | 0.674359i | ||||
\(179\) | −3.51582 | − | 2.02986i | −0.262785 | − | 0.151719i | 0.362819 | − | 0.931859i | \(-0.381814\pi\) |
−0.625604 | + | 0.780141i | \(0.715148\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.68452i | 0.273869i | 0.990580 | + | 0.136934i | \(0.0437249\pi\) | ||||
−0.990580 | + | 0.136934i | \(0.956275\pi\) | |||||||
\(182\) | 8.33035 | + | 16.0342i | 0.617486 | + | 1.18853i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.95297 | − | 3.38264i | −0.143975 | − | 0.249371i | ||||
\(185\) | 8.16737 | − | 14.1463i | 0.600477 | − | 1.04006i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.35850 | + | 3.67108i | −0.464979 | + | 0.268456i | ||||
\(188\) | 6.80349 | 0.496195 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.53424 | −0.474044 | ||||||||
\(191\) | −22.3425 | + | 12.8994i | −1.61664 | + | 0.933370i | −0.628864 | + | 0.777516i | \(0.716480\pi\) |
−0.987780 | + | 0.155854i | \(0.950187\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.64331 | − | 8.04245i | 0.334233 | − | 0.578908i | −0.649104 | − | 0.760699i | \(-0.724856\pi\) |
0.983337 | + | 0.181791i | \(0.0581894\pi\) | |||||||
\(194\) | −2.38967 | − | 4.13903i | −0.171568 | − | 0.297165i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.02434 | − | 5.72754i | 0.287453 | − | 0.409110i | ||||
\(197\) | 5.86237i | 0.417677i | 0.977950 | + | 0.208838i | \(0.0669683\pi\) | ||||
−0.977950 | + | 0.208838i | \(0.933032\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −13.9117 | − | 8.03191i | −0.986173 | − | 0.569367i | −0.0820447 | − | 0.996629i | \(-0.526145\pi\) |
−0.904128 | + | 0.427262i | \(0.859478\pi\) | |||||||
\(200\) | −0.179327 | − | 0.103535i | −0.0126804 | − | 0.00732101i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 10.4596i | 0.735936i | ||||||||
\(203\) | 0.217086 | − | 4.88120i | 0.0152365 | − | 0.342593i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.60242 | − | 9.70367i | −0.391290 | − | 0.677734i | ||||
\(206\) | −6.37383 | + | 11.0398i | −0.444086 | + | 0.769180i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 5.91448 | − | 3.41473i | 0.410096 | − | 0.236769i | ||||
\(209\) | 3.12989 | 0.216499 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −24.7482 | −1.70373 | −0.851867 | − | 0.523759i | \(-0.824529\pi\) | ||||
−0.851867 | + | 0.523759i | \(0.824529\pi\) | |||||||
\(212\) | −0.222069 | + | 0.128212i | −0.0152518 | + | 0.00880562i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.76813 | − | 8.25865i | 0.325943 | − | 0.564550i | ||||
\(215\) | −8.53993 | − | 14.7916i | −0.582419 | − | 1.00878i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.50882 | − | 2.87758i | −0.306078 | − | 0.195343i | ||||
\(218\) | − | 5.76503i | − | 0.390457i | ||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.16002 | + | 1.24709i | 0.145629 | + | 0.0840788i | ||||
\(221\) | 39.7291 | + | 22.9376i | 2.67247 | + | 1.54295i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 3.69551i | − | 0.247470i | −0.992315 | − | 0.123735i | \(-0.960513\pi\) | ||
0.992315 | − | 0.123735i | \(-0.0394873\pi\) | |||||||
\(224\) | −2.23025 | − | 1.42337i | −0.149015 | − | 0.0951030i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −5.96592 | − | 10.3333i | −0.396847 | − | 0.687359i | ||||
\(227\) | −2.30549 | + | 3.99322i | −0.153020 | + | 0.265039i | −0.932336 | − | 0.361592i | \(-0.882233\pi\) |
0.779316 | + | 0.626631i | \(0.215567\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.8220 | − | 7.98016i | 0.913386 | − | 0.527344i | 0.0318672 | − | 0.999492i | \(-0.489855\pi\) |
0.881519 | + | 0.472148i | \(0.156521\pi\) | |||||||
\(230\) | −8.91294 | −0.587702 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.84674 | −0.121245 | ||||||||
\(233\) | 6.17609 | − | 3.56577i | 0.404609 | − | 0.233601i | −0.283862 | − | 0.958865i | \(-0.591616\pi\) |
0.688471 | + | 0.725264i | \(0.258282\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.76244 | − | 13.4449i | 0.506366 | − | 0.877051i | ||||
\(236\) | −0.971009 | − | 1.68184i | −0.0632073 | − | 0.109478i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.789621 | − | 17.7547i | 0.0511835 | − | 1.15086i | ||||
\(239\) | − | 15.7292i | − | 1.01744i | −0.860932 | − | 0.508720i | \(-0.830119\pi\) | ||
0.860932 | − | 0.508720i | \(-0.169881\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.39292 | − | 0.804201i | −0.0897257 | − | 0.0518031i | 0.454466 | − | 0.890764i | \(-0.349830\pi\) |
−0.544191 | + | 0.838961i | \(0.683163\pi\) | |||||||
\(242\) | 8.49163 | + | 4.90265i | 0.545863 | + | 0.315154i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.33154i | 0.0852432i | ||||||||
\(245\) | −6.72711 | − | 14.4877i | −0.429779 | − | 0.925583i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.77810 | − | 16.9362i | −0.622166 | − | 1.07762i | ||||
\(248\) | −1.01083 | + | 1.75081i | −0.0641879 | + | 0.111177i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.47171 | − | 5.46850i | 0.599044 | − | 0.345858i | ||||
\(251\) | 18.3728 | 1.15968 | 0.579841 | − | 0.814729i | \(-0.303115\pi\) | ||||
0.579841 | + | 0.814729i | \(0.303115\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.26929 | 0.268408 | ||||||||
\(254\) | 9.45121 | − | 5.45666i | 0.593021 | − | 0.342381i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −8.73678 | − | 15.1326i | −0.544986 | − | 0.943943i | −0.998608 | − | 0.0527487i | \(-0.983202\pi\) |
0.453622 | − | 0.891194i | \(-0.350132\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.73158 | − | 16.8065i | −0.542554 | − | 1.04430i | ||||
\(260\) | − | 15.5841i | − | 0.966487i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 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 | 0 | ||||||||
\(265\) | 0.585133i | 0.0359444i | ||||||||
\(266\) | −4.07584 | + | 6.38634i | −0.249906 | + | 0.391572i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.54959 | + | 4.41602i | 0.155741 | + | 0.269751i | ||||
\(269\) | 3.38607 | − | 5.86484i | 0.206452 | − | 0.357586i | −0.744142 | − | 0.668021i | \(-0.767142\pi\) |
0.950594 | + | 0.310435i | \(0.100475\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.23822 | − | 4.17899i | 0.439691 | − | 0.253856i | −0.263776 | − | 0.964584i | \(-0.584968\pi\) |
0.703466 | + | 0.710729i | \(0.251635\pi\) | |||||||
\(272\) | −6.71727 | −0.407294 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.31310 | −0.200152 | ||||||||
\(275\) | 0.196010 | − | 0.113166i | 0.0118198 | − | 0.00682419i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 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 | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.35745 | + | 2.78339i | −0.320169 | + | 0.166339i | ||||
\(281\) | − | 29.2545i | − | 1.74518i | −0.488453 | − | 0.872590i | \(-0.662439\pi\) | ||
0.488453 | − | 0.872590i | \(-0.337561\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.24230 | − | 0.717242i | −0.0738470 | − | 0.0426356i | 0.462622 | − | 0.886556i | \(-0.346909\pi\) |
−0.536469 | + | 0.843920i | \(0.680242\pi\) | |||||||
\(284\) | −0.202223 | − | 0.116753i | −0.0119997 | − | 0.00692803i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.46479i | 0.441402i | ||||||||
\(287\) | −12.9786 | − | 0.577211i | −0.766104 | − | 0.0340717i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.0608 | − | 24.3541i | −0.827108 | − | 1.43259i | ||||
\(290\) | −2.10704 | + | 3.64950i | −0.123730 | + | 0.214306i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.89272 | − | 3.40216i | 0.344845 | − | 0.199096i | ||||
\(293\) | −21.6519 | −1.26492 | −0.632459 | − | 0.774594i | \(-0.717954\pi\) | ||||
−0.632459 | + | 0.774594i | \(0.717954\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.43149 | −0.258011 | ||||||||
\(296\) | −6.19935 | + | 3.57920i | −0.360330 | + | 0.208037i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.67036 | − | 11.5534i | 0.386404 | − | 0.669271i | ||||
\(299\) | −13.3377 | − | 23.1016i | −0.771338 | − | 1.33600i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −19.7837 | − | 0.879861i | −1.14031 | − | 0.0507143i | ||||
\(302\) | 5.33991i | 0.307277i | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.47987 | + | 1.43175i | 0.142230 | + | 0.0821167i | ||||
\(305\) | 2.63137 | + | 1.51922i | 0.150672 | + | 0.0869904i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 13.4732i | 0.768957i | 0.923134 | + | 0.384479i | \(0.125619\pi\) | ||||
−0.923134 | + | 0.384479i | \(0.874381\pi\) | |||||||
\(308\) | 2.56621 | − | 1.33324i | 0.146223 | − | 0.0759684i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.30662 | + | 3.99518i | 0.131007 | + | 0.226911i | ||||
\(311\) | −14.3669 | + | 24.8842i | −0.814672 | + | 1.41105i | 0.0948916 | + | 0.995488i | \(0.469750\pi\) |
−0.909563 | + | 0.415565i | \(0.863584\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 20.4636 | − | 11.8147i | 1.15667 | − | 0.667805i | 0.206167 | − | 0.978517i | \(-0.433901\pi\) |
0.950504 | + | 0.310712i | \(0.100567\pi\) | |||||||
\(314\) | −17.6673 | −0.997023 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.27248 | 0.409109 | ||||||||
\(317\) | 0.760093 | − | 0.438840i | 0.0426911 | − | 0.0246477i | −0.478503 | − | 0.878086i | \(-0.658820\pi\) |
0.521194 | + | 0.853438i | \(0.325487\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.00927 | − | 1.74811i | 0.0565083 | − | 0.0978753i | ||||
\(320\) | 1.14095 | + | 1.97618i | 0.0637811 | + | 0.110472i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −5.55959 | + | 8.71120i | −0.309824 | + | 0.485456i | ||||
\(323\) | 19.2349i | 1.07026i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.22471 | − | 0.707086i | −0.0679346 | − | 0.0392221i | ||||
\(326\) | −13.7683 | − | 7.94915i | −0.762557 | − | 0.440262i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.91031i | 0.271126i | ||||||||
\(329\) | −8.29867 | − | 15.9732i | −0.457521 | − | 0.880633i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.0915 | + | 17.4790i | 0.554680 | + | 0.960733i | 0.997928 | + | 0.0643345i | \(0.0204925\pi\) |
−0.443249 | + | 0.896399i | \(0.646174\pi\) | |||||||
\(332\) | −2.91353 | + | 5.04638i | −0.159901 | + | 0.276956i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −4.95155 | + | 2.85878i | −0.270937 | + | 0.156425i | ||||
\(335\) | 11.6358 | 0.635733 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.51521 | −0.0825388 | −0.0412694 | − | 0.999148i | \(-0.513140\pi\) | ||||
−0.0412694 | + | 0.999148i | \(0.513140\pi\) | |||||||
\(338\) | 29.1344 | − | 16.8207i | 1.58470 | − | 0.914927i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −7.66407 | + | 13.2746i | −0.415642 | + | 0.719914i | ||||
\(341\) | −1.10487 | − | 1.91369i | −0.0598319 | − | 0.103632i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.3559 | − | 2.46207i | −0.991124 | − | 0.132939i | ||||
\(344\) | 7.48493i | 0.403560i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −13.1681 | − | 7.60258i | −0.707919 | − | 0.408717i | ||||
\(347\) | −31.2622 | − | 18.0492i | −1.67824 | − | 0.968934i | −0.962781 | − | 0.270281i | \(-0.912883\pi\) |
−0.715461 | − | 0.698652i | \(-0.753783\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 19.3945i | 1.03817i | 0.854724 | + | 0.519083i | \(0.173726\pi\) | ||||
−0.854724 | + | 0.519083i | \(0.826274\pi\) | |||||||
\(350\) | −0.0243412 | + | 0.547313i | −0.00130109 | + | 0.0292551i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.546514 | − | 0.946590i | −0.0291293 | − | 0.0504534i | ||||
\(353\) | −2.01909 | + | 3.49717i | −0.107465 | + | 0.186136i | −0.914743 | − | 0.404037i | \(-0.867607\pi\) |
0.807277 | + | 0.590172i | \(0.200940\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.461452 | + | 0.266419i | −0.0244913 | + | 0.0141401i | ||||
\(356\) | 17.9941 | 0.953687 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 4.05972 | 0.214563 | ||||||||
\(359\) | −21.2649 | + | 12.2773i | −1.12232 | + | 0.647970i | −0.941991 | − | 0.335637i | \(-0.891048\pi\) |
−0.180326 | + | 0.983607i | \(0.557715\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.40016 | + | 9.35335i | −0.284219 | + | 0.492282i | ||||
\(362\) | −1.84226 | − | 3.19089i | −0.0968272 | − | 0.167710i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −15.2314 | − | 9.72085i | −0.798342 | − | 0.509511i | ||||
\(365\) | − | 15.5268i | − | 0.812709i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.28109 | + | 3.62639i | 0.327870 | + | 0.189296i | 0.654895 | − | 0.755720i | \(-0.272713\pi\) |
−0.327025 | + | 0.945016i | \(0.606046\pi\) | |||||||
\(368\) | 3.38264 | + | 1.95297i | 0.176332 | + | 0.101805i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 16.3347i | 0.849203i | ||||||||
\(371\) | 0.571889 | + | 0.364986i | 0.0296910 | + | 0.0189491i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.8921 | + | 25.7939i | 0.771083 | + | 1.33556i | 0.936970 | + | 0.349410i | \(0.113618\pi\) |
−0.165887 | + | 0.986145i | \(0.553049\pi\) | |||||||
\(374\) | 3.67108 | − | 6.35850i | 0.189827 | − | 0.328790i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −5.89199 | + | 3.40174i | −0.303856 | + | 0.175432i | ||||
\(377\) | −12.6122 | −0.649564 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.11280 | 0.313993 | 0.156997 | − | 0.987599i | \(-0.449819\pi\) | ||||
0.156997 | + | 0.987599i | \(0.449819\pi\) | |||||||
\(380\) | 5.65882 | − | 3.26712i | 0.290291 | − | 0.167600i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 12.8994 | − | 22.3425i | 0.659992 | − | 1.14314i | ||||
\(383\) | 16.2451 | + | 28.1374i | 0.830088 | + | 1.43775i | 0.897968 | + | 0.440061i | \(0.145043\pi\) |
−0.0678797 | + | 0.997694i | \(0.521623\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.293193 | − | 6.59247i | 0.0149425 | − | 0.335983i | ||||
\(386\) | 9.28662i | 0.472677i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 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 | \(0.649857\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 26.2372i | 1.32687i | ||||||||
\(392\) | −0.621407 | + | 6.97236i | −0.0313858 | + | 0.352158i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.93119 | − | 5.07696i | −0.147671 | − | 0.255774i | ||||
\(395\) | 8.29754 | − | 14.3718i | 0.417495 | − | 0.723122i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 16.3994 | − | 9.46822i | 0.823064 | − | 0.475196i | −0.0284077 | − | 0.999596i | \(-0.509044\pi\) |
0.851472 | + | 0.524400i | \(0.175710\pi\) | |||||||
\(398\) | 16.0638 | 0.805207 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.207069 | 0.0103535 | ||||||||
\(401\) | 3.35718 | − | 1.93827i | 0.167650 | − | 0.0967926i | −0.413827 | − | 0.910355i | \(-0.635808\pi\) |
0.581477 | + | 0.813563i | \(0.302475\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.90343 | + | 11.9571i | −0.343884 | + | 0.595625i | ||||
\(404\) | −5.22981 | − | 9.05829i | −0.260193 | − | 0.450667i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.25260 | + | 4.33578i | 0.111794 | + | 0.215181i | ||||
\(407\) | − | 7.82433i | − | 0.387837i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.0286 | − | 8.09940i | −0.693669 | − | 0.400490i | 0.111316 | − | 0.993785i | \(-0.464493\pi\) |
−0.804985 | + | 0.593295i | \(0.797827\pi\) | |||||||
\(410\) | 9.70367 | + | 5.60242i | 0.479230 | + | 0.276684i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | − | 12.7477i | − | 0.628033i | ||||||
\(413\) | −2.76421 | + | 4.33119i | −0.136018 | + | 0.213124i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.64838 | + | 11.5153i | 0.326356 | + | 0.565266i | ||||
\(416\) | −3.41473 | + | 5.91448i | −0.167421 | + | 0.289981i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.71057 | + | 1.56495i | −0.132578 | + | 0.0765441i | ||||
\(419\) | −3.27579 | −0.160033 | −0.0800165 | − | 0.996794i | \(-0.525497\pi\) | ||||
−0.0800165 | + | 0.996794i | \(0.525497\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.68965 | 0.0823483 | 0.0411741 | − | 0.999152i | \(-0.486890\pi\) | ||||
0.0411741 | + | 0.999152i | \(0.486890\pi\) | |||||||
\(422\) | 21.4325 | − | 12.3741i | 1.04332 | − | 0.602361i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.128212 | − | 0.222069i | 0.00622651 | − | 0.0107846i | ||||
\(425\) | 0.695470 | + | 1.20459i | 0.0337353 | + | 0.0584312i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.12619 | − | 1.62417i | 0.151287 | − | 0.0785991i | ||||
\(428\) | 9.53627i | 0.460953i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 14.7916 | + | 8.53993i | 0.713314 | + | 0.411832i | ||||
\(431\) | −0.0157083 | − | 0.00906921i | −0.000756644 | − | 0.000436848i | 0.499622 | − | 0.866244i | \(-0.333472\pi\) |
−0.500378 | + | 0.865807i | \(0.666806\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 5.36964i | − | 0.258048i | −0.991641 | − | 0.129024i | \(-0.958815\pi\) | ||
0.991641 | − | 0.129024i | \(-0.0411845\pi\) | |||||||
\(434\) | 5.34354 | + | 0.237649i | 0.256498 | + | 0.0114075i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.88251 | + | 4.99266i | 0.138047 | + | 0.239105i | ||||
\(437\) | 5.59233 | − | 9.68621i | 0.267518 | − | 0.463354i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 18.9141 | − | 10.9201i | 0.902720 | − | 0.521186i | 0.0246384 | − | 0.999696i | \(-0.492157\pi\) |
0.878082 | + | 0.478511i | \(0.158823\pi\) | |||||||
\(440\) | −2.49418 | −0.118905 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −45.8753 | −2.18206 | ||||||||
\(443\) | −1.81806 | + | 1.04966i | −0.0863785 | + | 0.0498707i | −0.542567 | − | 0.840012i | \(-0.682548\pi\) |
0.456189 | + | 0.889883i | \(0.349214\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 20.5304 | − | 35.5597i | 0.973235 | − | 1.68569i | ||||
\(446\) | 1.84776 | + | 3.20041i | 0.0874938 | + | 0.151544i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.64314 | + | 0.117551i | 0.124877 | + | 0.00555376i | ||||
\(449\) | − | 27.1356i | − | 1.28061i | −0.768122 | − | 0.640303i | \(-0.778809\pi\) | ||
0.768122 | − | 0.640303i | \(-0.221191\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.64805 | − | 2.68355i | −0.218868 | − | 0.126364i | ||||
\(452\) | 10.3333 | + | 5.96592i | 0.486036 | + | 0.280613i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | − | 4.61097i | − | 0.216404i | ||||||
\(455\) | −36.5884 | + | 19.0090i | −1.71529 | + | 0.891157i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.21598 | − | 7.30229i | −0.197215 | − | 0.341587i | 0.750409 | − | 0.660974i | \(-0.229856\pi\) |
−0.947624 | + | 0.319387i | \(0.896523\pi\) | |||||||
\(458\) | −7.98016 | + | 13.8220i | −0.372888 | + | 0.645862i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 7.71884 | − | 4.45647i | 0.359893 | − | 0.207784i | ||||
\(461\) | 9.34306 | 0.435150 | 0.217575 | − | 0.976044i | \(-0.430185\pi\) | ||||
0.217575 | + | 0.976044i | \(0.430185\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 25.4563 | 1.18305 | 0.591526 | − | 0.806286i | \(-0.298526\pi\) | ||||
0.591526 | + | 0.806286i | \(0.298526\pi\) | |||||||
\(464\) | 1.59933 | − | 0.923371i | 0.0742469 | − | 0.0428664i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.56577 | + | 6.17609i | −0.165181 | + | 0.286102i | ||||
\(467\) | 10.3199 | + | 17.8746i | 0.477547 | + | 0.827136i | 0.999669 | − | 0.0257351i | \(-0.00819264\pi\) |
−0.522122 | + | 0.852871i | \(0.674859\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.25803 | − | 11.3724i | 0.335145 | − | 0.525131i | ||||
\(470\) | 15.5249i | 0.716109i | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.68184 | + | 0.971009i | 0.0774128 | + | 0.0446943i | ||||
\(473\) | −7.08516 | − | 4.09062i | −0.325776 | − | 0.188087i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 0.592945i | − | 0.0272062i | ||||||
\(476\) | 8.19350 | + | 15.7708i | 0.375548 | + | 0.722853i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.86462 | + | 13.6219i | 0.359720 | + | 0.623053i | ||||
\(479\) | −3.07442 | + | 5.32505i | −0.140474 | + | 0.243308i | −0.927675 | − | 0.373388i | \(-0.878196\pi\) |
0.787201 | + | 0.616696i | \(0.211529\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −42.3382 | + | 24.4440i | −1.93046 | + | 1.11455i | ||||
\(482\) | 1.60840 | 0.0732607 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −9.80529 | −0.445695 | ||||||||
\(485\) | 9.44486 | − | 5.45299i | 0.428869 | − | 0.247608i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −9.86365 | + | 17.0843i | −0.446965 | + | 0.774166i | −0.998187 | − | 0.0601930i | \(-0.980828\pi\) |
0.551222 | + | 0.834359i | \(0.314162\pi\) | |||||||
\(488\) | −0.665771 | − | 1.15315i | −0.0301380 | − | 0.0522006i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 13.0697 | + | 9.18313i | 0.590428 | + | 0.414852i | ||||
\(491\) | − | 3.95987i | − | 0.178707i | −0.996000 | − | 0.0893533i | \(-0.971520\pi\) | ||
0.996000 | − | 0.0893533i | \(-0.0284800\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.7431 | + | 6.20253i | 0.483845 | + | 0.279348i | ||||
\(494\) | 16.9362 | + | 9.77810i | 0.761994 | + | 0.439938i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 2.02166i | − | 0.0907754i | ||||||
\(497\) | −0.0274489 | + | 0.617190i | −0.00123125 | + | 0.0276848i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 18.4092 | + | 31.8856i | 0.824108 | + | 1.42740i | 0.902599 | + | 0.430482i | \(0.141656\pi\) |
−0.0784916 | + | 0.996915i | \(0.525010\pi\) | |||||||
\(500\) | −5.46850 | + | 9.47171i | −0.244559 | + | 0.423588i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −15.9113 | + | 9.18641i | −0.710158 | + | 0.410010i | ||||
\(503\) | −12.3802 | −0.552004 | −0.276002 | − | 0.961157i | \(-0.589010\pi\) | ||||
−0.276002 | + | 0.961157i | \(0.589010\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −23.8678 | −1.06210 | ||||||||
\(506\) | −3.69731 | + | 2.13465i | −0.164366 | + | 0.0948966i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5.45666 | + | 9.45121i | −0.242100 | + | 0.419329i | ||||
\(509\) | 7.54528 | + | 13.0688i | 0.334438 | + | 0.579264i | 0.983377 | − | 0.181577i | \(-0.0581200\pi\) |
−0.648938 | + | 0.760841i | \(0.724787\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −15.1753 | − | 9.68508i | −0.671317 | − | 0.428443i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 15.1326 | + | 8.73678i | 0.667468 | + | 0.385363i | ||||
\(515\) | −25.1917 | − | 14.5445i | −1.11008 | − | 0.640905i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 7.43640i | − | 0.327053i | ||||||
\(518\) | 15.9650 | + | 10.1891i | 0.701462 | + | 0.447681i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 7.79207 | + | 13.4963i | 0.341705 | + | 0.591850i | ||||
\(521\) | 12.4908 | − | 21.6347i | 0.547231 | − | 0.947832i | −0.451232 | − | 0.892407i | \(-0.649015\pi\) |
0.998463 | − | 0.0554255i | \(-0.0176515\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 21.6818 | − | 12.5180i | 0.948077 | − | 0.547372i | 0.0555939 | − | 0.998453i | \(-0.482295\pi\) |
0.892483 | + | 0.451081i | \(0.148961\pi\) | |||||||
\(524\) | −1.97935 | −0.0864684 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −27.6144 | −1.20405 | ||||||||
\(527\) | 11.7607 | − | 6.79003i | 0.512303 | − | 0.295778i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.87185 | + | 6.70625i | −0.168341 | + | 0.291576i | ||||
\(530\) | −0.292567 | − | 0.506740i | −0.0127083 | − | 0.0220114i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.336608 | − | 7.56865i | 0.0145938 | − | 0.328143i | ||||
\(533\) | 33.5347i | 1.45255i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.8454 | + | 10.8804i | 0.814759 | + | 0.470401i | ||||
\(536\) | −4.41602 | − | 2.54959i | −0.190743 | − | 0.110126i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 6.77214i | 0.291968i | ||||||||
\(539\) | −6.26036 | − | 4.39871i | −0.269653 | − | 0.189466i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.23042 | + | 12.5235i | 0.310860 | + | 0.538426i | 0.978549 | − | 0.206015i | \(-0.0660496\pi\) |
−0.667689 | + | 0.744441i | \(0.732716\pi\) | |||||||
\(542\) | −4.17899 | + | 7.23822i | −0.179503 | + | 0.310908i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.81732 | − | 3.35863i | 0.249416 | − | 0.144000i | ||||
\(545\) | 13.1552 | 0.563508 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −33.8321 | −1.44655 | −0.723277 | − | 0.690558i | \(-0.757365\pi\) | ||||
−0.723277 | + | 0.690558i | \(0.757365\pi\) | |||||||
\(548\) | 2.86923 | − | 1.65655i | 0.122567 | − | 0.0707642i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.113166 | + | 0.196010i | −0.00482543 | + | 0.00835789i | ||||
\(551\) | −2.64408 | − | 4.57968i | −0.112642 | − | 0.195101i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.87074 | − | 17.0743i | −0.377222 | − | 0.726075i | ||||
\(554\) | 16.2123i | 0.688796i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.00698 | − | 1.73608i | −0.127524 | − | 0.0736261i | ||||
\(557\) | 5.09456 | + | 2.94134i | 0.215863 | + | 0.124629i | 0.604033 | − | 0.796959i | \(-0.293559\pi\) |
−0.388170 | + | 0.921588i | \(0.626893\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 51.1180i | 2.16206i | ||||||||
\(560\) | 3.24799 | − | 5.08921i | 0.137253 | − | 0.215058i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 14.6273 | + | 25.3352i | 0.617014 | + | 1.06870i | ||||
\(563\) | 7.78184 | − | 13.4785i | 0.327966 | − | 0.568053i | −0.654142 | − | 0.756371i | \(-0.726970\pi\) |
0.982108 | + | 0.188318i | \(0.0603037\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 23.5795 | − | 13.6136i | 0.991997 | − | 0.572730i | ||||
\(566\) | 1.43448 | 0.0602958 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.233507 | 0.00979772 | ||||||||
\(569\) | −22.6993 | + | 13.1055i | −0.951606 | + | 0.549410i | −0.893580 | − | 0.448905i | \(-0.851814\pi\) |
−0.0580267 | + | 0.998315i | \(0.518481\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −12.8090 | + | 22.1859i | −0.536041 | + | 0.928451i | 0.463071 | + | 0.886321i | \(0.346748\pi\) |
−0.999112 | + | 0.0421295i | \(0.986586\pi\) | |||||||
\(572\) | −3.73239 | − | 6.46469i | −0.156059 | − | 0.270302i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 11.5284 | − | 5.98943i | 0.481187 | − | 0.249994i | ||||
\(575\) | − | 0.808799i | − | 0.0337292i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 28.0540 | + | 16.1970i | 1.16790 | + | 0.674288i | 0.953185 | − | 0.302388i | \(-0.0977839\pi\) |
0.214717 | + | 0.976676i | \(0.431117\pi\) | |||||||
\(578\) | 24.3541 | + | 14.0608i | 1.01300 | + | 0.584853i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | − | 4.21408i | − | 0.174980i | ||||||
\(581\) | 15.4017 | + | 0.684976i | 0.638971 | + | 0.0284176i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.140139 | + | 0.242728i | 0.00580397 | + | 0.0100528i | ||||
\(584\) | −3.40216 | + | 5.89272i | −0.140782 | + | 0.243842i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 18.7511 | − | 10.8260i | 0.774601 | − | 0.447216i | ||||
\(587\) | −9.53702 | −0.393635 | −0.196818 | − | 0.980440i | \(-0.563061\pi\) | ||||
−0.196818 | + | 0.980440i | \(0.563061\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.78905 | −0.238534 | ||||||||
\(590\) | 3.83779 | − | 2.21575i | 0.157999 | − | 0.0912208i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.57920 | − | 6.19935i | 0.147104 | − | 0.254792i | ||||
\(593\) | 1.89409 | + | 3.28065i | 0.0777808 | + | 0.134720i | 0.902292 | − | 0.431125i | \(-0.141883\pi\) |
−0.824511 | + | 0.565845i | \(0.808550\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 40.5144 | + | 1.80184i | 1.66093 | + | 0.0738681i | ||||
\(596\) | 13.3407i | 0.546457i | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 23.1016 | + | 13.3377i | 0.944693 | + | 0.545419i | ||||
\(599\) | −31.2971 | − | 18.0694i | −1.27876 | − | 0.738295i | −0.302143 | − | 0.953263i | \(-0.597702\pi\) |
−0.976621 | + | 0.214968i | \(0.931035\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 15.9666i | 0.651293i | 0.945492 | + | 0.325646i | \(0.105582\pi\) | ||||
−0.945492 | + | 0.325646i | \(0.894418\pi\) | |||||||
\(602\) | 17.5731 | − | 9.12987i | 0.716227 | − | 0.372106i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.66995 | − | 4.62450i | −0.108639 | − | 0.188168i | ||||
\(605\) | −11.1873 | + | 19.3771i | −0.454830 | + | 0.787789i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 19.6190 | − | 11.3270i | 0.796309 | − | 0.459749i | −0.0458701 | − | 0.998947i | \(-0.514606\pi\) |
0.842179 | + | 0.539198i | \(0.181273\pi\) | |||||||
\(608\) | −2.86351 | −0.116131 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.03844 | −0.123023 | ||||||||
\(611\) | −40.2391 | + | 23.2321i | −1.62790 | + | 0.939868i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.84758 | + | 3.20011i | −0.0746232 | + | 0.129251i | −0.900922 | − | 0.433980i | \(-0.857109\pi\) |
0.826299 | + | 0.563231i | \(0.190442\pi\) | |||||||
\(614\) | −6.73661 | − | 11.6682i | −0.271868 | − | 0.470888i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.55578 | + | 2.43773i | −0.0626844 | + | 0.0982187i | ||||
\(617\) | − | 26.0023i | − | 1.04681i | −0.852083 | − | 0.523407i | \(-0.824661\pi\) | ||
0.852083 | − | 0.523407i | \(-0.175339\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −20.5526 | − | 11.8660i | −0.826079 | − | 0.476937i | 0.0264296 | − | 0.999651i | \(-0.491586\pi\) |
−0.852508 | + | 0.522714i | \(0.824920\pi\) | |||||||
\(620\) | −3.99518 | − | 2.30662i | −0.160450 | − | 0.0926360i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 28.7338i | − | 1.15212i | ||||||
\(623\) | −21.9487 | − | 42.2466i | −0.879354 | − | 1.69258i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 12.9962 | + | 22.5101i | 0.519849 | + | 0.900406i | ||||
\(626\) | −11.8147 | + | 20.4636i | −0.472209 | + | 0.817890i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 15.3003 | − | 8.83364i | 0.610549 | − | 0.352501i | ||||
\(629\) | 48.0848 | 1.91727 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.664631 | −0.0264586 | −0.0132293 | − | 0.999912i | \(-0.504211\pi\) | ||||
−0.0132293 | + | 0.999912i | \(0.504211\pi\) | |||||||
\(632\) | −6.29816 | + | 3.63624i | −0.250527 | + | 0.144642i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.438840 | + | 0.760093i | −0.0174286 | + | 0.0301872i | ||||
\(635\) | 12.4515 | + | 21.5667i | 0.494125 | + | 0.855849i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.24387 | + | 47.6174i | −0.168148 | + | 1.88667i | ||||
\(638\) | 2.01854i | 0.0799148i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −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 | \(0.613617\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 0.274789i | − | 0.0108366i | −0.999985 | − | 0.00541831i | \(-0.998275\pi\) | ||
0.999985 | − | 0.00541831i | \(-0.00172471\pi\) | |||||||
\(644\) | 0.459146 | − | 10.3239i | 0.0180929 | − | 0.406819i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.61747 | − | 16.6580i | −0.378394 | − | 0.655398i | ||||
\(647\) | −17.0508 | + | 29.5328i | −0.670335 | + | 1.16105i | 0.307474 | + | 0.951556i | \(0.400516\pi\) |
−0.977809 | + | 0.209498i | \(0.932817\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.83830 | + | 1.06134i | −0.0721594 | + | 0.0416612i | ||||
\(650\) | 1.41417 | 0.0554684 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 15.8983 | 0.622625 | ||||||||
\(653\) | −1.48356 | + | 0.856531i | −0.0580560 | + | 0.0335187i | −0.528747 | − | 0.848779i | \(-0.677338\pi\) |
0.470691 | + | 0.882298i | \(0.344005\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.25834 | + | 3.91157i | −0.0882408 | + | 0.152838i | ||||
\(656\) | −2.45515 | − | 4.25245i | −0.0958576 | − | 0.166030i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 15.1735 | + | 9.68389i | 0.591524 | + | 0.377517i | ||||
\(659\) | 34.7052i | 1.35192i | 0.736938 | + | 0.675961i | \(0.236271\pi\) | ||||
−0.736938 | + | 0.675961i | \(0.763729\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 33.2075 | + | 19.1724i | 1.29162 | + | 0.745718i | 0.978942 | − | 0.204140i | \(-0.0654397\pi\) |
0.312681 | + | 0.949858i | \(0.398773\pi\) | |||||||
\(662\) | −17.4790 | − | 10.0915i | −0.679341 | − | 0.392218i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 5.82706i | − | 0.226134i | ||||||
\(665\) | −14.5730 | − | 9.30065i | −0.565116 | − | 0.360664i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.60662 | − | 6.24686i | −0.139649 | − | 0.241879i | ||||
\(668\) | 2.85878 | − | 4.95155i | 0.110610 | − | 0.191581i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −10.0769 | + | 5.81791i | −0.389305 | + | 0.224765i | ||||
\(671\) | 1.45541 | 0.0561856 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 16.6708 | 0.642611 | 0.321305 | − | 0.946976i | \(-0.395878\pi\) | ||||
0.321305 | + | 0.946976i | \(0.395878\pi\) | |||||||
\(674\) | 1.31221 | − | 0.757605i | 0.0505445 | − | 0.0291819i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −16.8207 | + | 29.1344i | −0.646951 | + | 1.12055i | ||||
\(677\) | 10.4682 | + | 18.1315i | 0.402327 | + | 0.696850i | 0.994006 | − | 0.109323i | \(-0.0348683\pi\) |
−0.591680 | + | 0.806173i | \(0.701535\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.561816 | − | 12.6325i | 0.0215605 | − | 0.484789i | ||||
\(680\) | − | 15.3281i | − | 0.587807i | ||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.91369 | + | 1.10487i | 0.0732789 | + | 0.0423076i | ||||
\(683\) | −6.62003 | − | 3.82208i | −0.253308 | − | 0.146248i | 0.367970 | − | 0.929838i | \(-0.380053\pi\) |
−0.621278 | + | 0.783590i | \(0.713386\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 7.56016i | − | 0.288859i | ||||||
\(686\) | 17.1277 | − | 7.04572i | 0.653938 | − | 0.269007i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3.74246 | − | 6.48214i | −0.142680 | − | 0.247129i | ||||
\(689\) | 0.875617 | − | 1.51661i | 0.0333583 | − | 0.0577783i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.10461 | + | 5.25655i | −0.346356 | + | 0.199969i | −0.663079 | − | 0.748549i | \(-0.730751\pi\) |
0.316723 | + | 0.948518i | \(0.397417\pi\) | |||||||
\(692\) | 15.2052 | 0.578013 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 36.0985 | 1.37028 | ||||||||
\(695\) | −6.86162 | + | 3.96156i | −0.260276 | + | 0.150270i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 16.4919 | − | 28.5648i | 0.624676 | − | 1.08197i | ||||
\(698\) | −9.69727 | − | 16.7962i | −0.367047 | − | 0.635744i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.252577 | − | 0.486158i | −0.00954650 | − | 0.0183750i | ||||
\(701\) | − | 15.7336i | − | 0.594250i | −0.954839 | − | 0.297125i | \(-0.903972\pi\) | ||
0.954839 | − | 0.297125i | \(-0.0960277\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −17.7519 | − | 10.2491i | −0.669526 | − | 0.386551i | ||||
\(704\) | 0.946590 | + | 0.546514i | 0.0356759 | + | 0.0205975i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 4.03818i | − | 0.151979i | ||||||
\(707\) | −14.8879 | + | 23.3276i | −0.559918 | + | 0.877323i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.44973 | + | 2.51100i | 0.0544456 | + | 0.0943025i | 0.891964 | − | 0.452107i | \(-0.149328\pi\) |
−0.837518 | + | 0.546410i | \(0.815994\pi\) | |||||||
\(710\) | 0.266419 | − | 0.461452i | 0.00999854 | − | 0.0173180i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −15.5834 | + | 8.99707i | −0.584012 | + | 0.337179i | ||||
\(713\) | −7.89648 | −0.295725 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −17.0339 | −0.637032 | ||||||||
\(716\) | −3.51582 | + | 2.02986i | −0.131392 | + | 0.0758595i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 12.2773 | − | 21.2649i | 0.458184 | − | 0.793598i | ||||
\(719\) | −20.5644 | − | 35.6186i | −0.766924 | − | 1.32835i | −0.939223 | − | 0.343307i | \(-0.888453\pi\) |
0.172299 | − | 0.985045i | \(-0.444880\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −29.9290 | + | 15.5492i | −1.11461 | + | 0.579082i | ||||
\(722\) | − | 10.8003i | − | 0.401946i | ||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.19089 | + | 1.84226i | 0.118589 | + | 0.0684671i | ||||
\(725\) | −0.331172 | − | 0.191202i | −0.0122994 | − | 0.00710106i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 38.8224i | 1.43984i | 0.694056 | + | 0.719921i | \(0.255822\pi\) | ||||
−0.694056 | + | 0.719921i | \(0.744178\pi\) | |||||||
\(728\) | 18.0512 | + | 0.802809i | 0.669022 | + | 0.0297541i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 7.76339 | + | 13.4466i | 0.287336 | + | 0.497681i | ||||
\(731\) | 25.1391 | − | 43.5423i | 0.929804 | − | 1.61047i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −22.5362 | + | 13.0113i | −0.832394 | + | 0.480583i | −0.854672 | − | 0.519169i | \(-0.826242\pi\) |
0.0222778 | + | 0.999752i | \(0.492908\pi\) | |||||||
\(734\) | −7.25277 | −0.267705 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.90593 | −0.143975 | ||||||||
\(737\) | 4.82683 | − | 2.78677i | 0.177799 | − | 0.102652i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.70004 | + | 6.40866i | −0.136108 | + | 0.235746i | −0.926020 | − | 0.377474i | \(-0.876793\pi\) |
0.789912 | + | 0.613220i | \(0.210126\pi\) | |||||||
\(740\) | −8.16737 | − | 14.1463i | −0.300239 | − | 0.520028i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.677763 | − | 0.0301428i | −0.0248815 | − | 0.00110658i | ||||
\(743\) | 28.0871i | 1.03042i | 0.857065 | + | 0.515208i | \(0.172285\pi\) | ||||
−0.857065 | + | 0.515208i | \(0.827715\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 26.3637 | + | 15.2211i | 0.965892 | + | 0.557658i | ||||
\(746\) | −25.7939 | − | 14.8921i | −0.944380 | − | 0.545238i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 7.34216i | 0.268456i | ||||||||
\(749\) | 22.3893 | − | 11.6320i | 0.818086 | − | 0.425025i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −21.1897 | − | 36.7016i | −0.773221 | − | 1.33926i | −0.935789 | − | 0.352561i | \(-0.885311\pi\) |
0.162567 | − | 0.986697i | \(-0.448023\pi\) | |||||||
\(752\) | 3.40174 | − | 5.89199i | 0.124049 | − | 0.214859i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 10.9225 | − | 6.30612i | 0.397775 | − | 0.229655i | ||||
\(755\) | −12.1851 | −0.443463 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −41.6462 | −1.51366 | −0.756828 | − | 0.653614i | \(-0.773252\pi\) | ||||
−0.756828 | + | 0.653614i | \(0.773252\pi\) | |||||||
\(758\) | −5.29384 | + | 3.05640i | −0.192281 | + | 0.111013i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.26712 | + | 5.65882i | −0.118511 | + | 0.205267i | ||||
\(761\) | 17.4823 | + | 30.2802i | 0.633732 | + | 1.09766i | 0.986782 | + | 0.162051i | \(0.0518109\pi\) |
−0.353051 | + | 0.935604i | \(0.614856\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 8.20578 | − | 12.8575i | 0.297069 | − | 0.465471i | ||||
\(764\) | 25.7989i | 0.933370i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −28.1374 | − | 16.2451i | −1.01665 | − | 0.586961i | ||||
\(767\) | 11.4860 | + | 6.63146i | 0.414737 | + | 0.239448i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 21.8593i | 0.788265i | 0.919054 | + | 0.394133i | \(0.128955\pi\) | ||||
−0.919054 | + | 0.394133i | \(0.871045\pi\) | |||||||
\(770\) | 3.04232 | + | 5.85584i | 0.109638 | + | 0.211030i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.64331 | − | 8.04245i | −0.167116 | − | 0.289454i | ||||
\(773\) | −10.6368 | + | 18.4235i | −0.382579 | + | 0.662646i | −0.991430 | − | 0.130638i | \(-0.958297\pi\) |
0.608851 | + | 0.793285i | \(0.291631\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.362540 | + | 0.209312i | −0.0130228 | + | 0.00751872i | ||||
\(776\) | −4.77934 | −0.171568 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.08210 | −0.0746471 | ||||||||
\(779\) | −12.1769 | + | 7.03035i | −0.436284 | + | 0.251889i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.127615 | + | 0.221035i | −0.00456641 | + | 0.00790925i | ||||
\(782\) | −13.1186 | − | 22.7221i | −0.469120 | − | 0.812539i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2.94803 | − | 6.34895i | −0.105287 | − | 0.226748i | ||||
\(785\) | − | 40.3150i | − | 1.43890i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −40.7238 | − | 23.5119i | −1.45165 | − | 0.838108i | −0.453070 | − | 0.891475i | \(-0.649671\pi\) |
−0.998575 | + | 0.0533671i | \(0.983005\pi\) | |||||||
\(788\) | 5.07696 | + | 2.93119i | 0.180859 | + | 0.104419i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 16.5951i | 0.590427i | ||||||||
\(791\) | 1.40260 | − | 31.5375i | 0.0498707 | − | 1.12134i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.54685 | − | 7.87538i | −0.161463 | − | 0.279663i | ||||
\(794\) | −9.46822 | + | 16.3994i | −0.336015 | + | 0.581994i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −13.9117 | + | 8.03191i | −0.493086 | + | 0.284684i | ||||
\(797\) | 29.0406 | 1.02867 | 0.514336 | − | 0.857589i | \(-0.328038\pi\) | ||||
0.514336 | + | 0.857589i | \(0.328038\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 45.7008 | 1.61678 | ||||||||
\(800\) | −0.179327 | + | 0.103535i | −0.00634018 | + | 0.00366051i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −1.93827 | + | 3.35718i | −0.0684427 | + | 0.118546i | ||||
\(803\) | −3.71866 | − | 6.44090i | −0.131229 | − | 0.227294i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −19.8781 | − | 12.6864i | −0.700611 | − | 0.447138i | ||||
\(806\) | − | 13.8069i | − | 0.486326i | ||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 9.05829 | + | 5.22981i | 0.318670 | + | 0.183984i | ||||
\(809\) | −47.5777 | − | 27.4690i | −1.67274 | − | 0.965759i | −0.966093 | − | 0.258195i | \(-0.916872\pi\) |
−0.706650 | − | 0.707563i | \(-0.749795\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 34.0190i | − | 1.19457i | −0.802030 | − | 0.597284i | \(-0.796246\pi\) | ||
0.802030 | − | 0.597284i | \(-0.203754\pi\) | |||||||
\(812\) | −4.11870 | − | 2.62860i | −0.144538 | − | 0.0922458i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 3.91216 | + | 6.77606i | 0.137121 | + | 0.237501i | ||||
\(815\) | 18.1392 | − | 31.4179i | 0.635387 | − | 1.10052i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −18.5617 | + | 10.7166i | −0.649390 | + | 0.374926i | ||||
\(818\) | 16.1988 | 0.566378 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −11.2048 | −0.391290 | ||||||||
\(821\) | 6.92921 | − | 4.00058i | 0.241831 | − | 0.139621i | −0.374187 | − | 0.927353i | \(-0.622078\pi\) |
0.616018 | + | 0.787732i | \(0.288745\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.51245 | + | 6.08375i | −0.122436 | + | 0.212066i | −0.920728 | − | 0.390205i | \(-0.872404\pi\) |
0.798291 | + | 0.602271i | \(0.205737\pi\) | |||||||
\(824\) | 6.37383 | + | 11.0398i | 0.222043 | + | 0.384590i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.228286 | − | 5.13302i | 0.00794309 | − | 0.178601i | ||||
\(827\) | 37.4952i | 1.30384i | 0.758290 | + | 0.651918i | \(0.226035\pi\) | ||||
−0.758290 | + | 0.651918i | \(0.773965\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −2.96310 | − | 1.71074i | −0.102913 | − | 0.0594166i | 0.447660 | − | 0.894204i | \(-0.352257\pi\) |
−0.550573 | + | 0.834787i | \(0.685591\pi\) | |||||||
\(830\) | −11.5153 | − | 6.64838i | −0.399703 | − | 0.230769i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 6.82946i | − | 0.236769i | ||||||
\(833\) | 27.0325 | − | 38.4734i | 0.936622 | − | 1.33302i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.52345 | − | 11.2989i | −0.225753 | − | 0.391016i | ||||
\(836\) | 1.56495 | − | 2.71057i | 0.0541248 | − | 0.0937470i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 2.83692 | − | 1.63790i | 0.0979998 | − | 0.0565802i | ||||
\(839\) | 9.75061 | 0.336628 | 0.168314 | − | 0.985733i | \(-0.446168\pi\) | ||||
0.168314 | + | 0.985733i | \(0.446168\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 25.5895 | 0.882398 | ||||||||
\(842\) | −1.46328 | + | 0.844823i | −0.0504278 | + | 0.0291145i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −12.3741 | + | 21.4325i | −0.425933 | + | 0.737738i | ||||
\(845\) | 38.3832 | + | 66.4817i | 1.32042 | + | 2.28704i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.9602 | + | 23.0209i | 0.410956 | + | 0.791006i | ||||
\(848\) | 0.256424i | 0.00880562i | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.20459 | − | 0.695470i | −0.0413171 | − | 0.0238544i | ||||
\(851\) | −24.2142 | − | 13.9801i | −0.830053 | − | 0.479232i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 24.5773i | 0.841512i | 0.907174 | + | 0.420756i | \(0.138235\pi\) | ||||
−0.907174 | + | 0.420756i | \(0.861765\pi\) | |||||||
\(854\) | −1.89528 | + | 2.96967i | −0.0648551 | + | 0.101620i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.76813 | − | 8.25865i | −0.162971 | − | 0.282275i | ||||
\(857\) | 14.9684 | − | 25.9260i | 0.511309 | − | 0.885614i | −0.488605 | − | 0.872505i | \(-0.662494\pi\) |
0.999914 | − | 0.0131086i | \(-0.00417273\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 46.6403 | − | 26.9278i | 1.59135 | − | 0.918765i | 0.598271 | − | 0.801294i | \(-0.295855\pi\) |
0.993076 | − | 0.117471i | \(-0.0374787\pi\) | |||||||
\(860\) | −17.0799 | −0.582419 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0.0181384 | 0.000617797 | ||||||||
\(863\) | 42.6599 | − | 24.6297i | 1.45216 | − | 0.838404i | 0.453555 | − | 0.891228i | \(-0.350156\pi\) |
0.998604 | + | 0.0528239i | \(0.0168222\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 17.3483 | − | 30.0482i | 0.589861 | − | 1.02167i | ||||
\(866\) | 2.68482 | + | 4.65025i | 0.0912339 | + | 0.158022i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −4.74646 | + | 2.46596i | −0.161106 | + | 0.0837001i | ||||
\(869\) | − | 7.94903i | − | 0.269652i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −30.1590 | − | 17.4123i | −1.02190 | − | 0.589994i | ||||
\(872\) | −4.99266 | − | 2.88251i | −0.169073 | − | 0.0976142i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 11.1847i | 0.378327i | ||||||||
\(875\) | 28.9080 | + | 1.28565i | 0.977268 | + | 0.0434630i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −9.80382 | − | 16.9807i | −0.331051 | − | 0.573398i | 0.651667 | − | 0.758505i | \(-0.274070\pi\) |
−0.982718 | + | 0.185108i | \(0.940737\pi\) | |||||||
\(878\) | −10.9201 | + | 18.9141i | −0.368534 | + | 0.638319i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.16002 | − | 1.24709i | 0.0728144 | − | 0.0420394i | ||||
\(881\) | 6.20452 | 0.209036 | 0.104518 | − | 0.994523i | \(-0.466670\pi\) | ||||
0.104518 | + | 0.994523i | \(0.466670\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 26.8733 | 0.904359 | 0.452180 | − | 0.891927i | \(-0.350647\pi\) | ||||
0.452180 | + | 0.891927i | \(0.350647\pi\) | |||||||
\(884\) | 39.7291 | − | 22.9376i | 1.33624 | − | 0.771476i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1.04966 | − | 1.81806i | 0.0352639 | − | 0.0610788i | ||||
\(887\) | −2.93679 | − | 5.08668i | −0.0986079 | − | 0.170794i | 0.812501 | − | 0.582960i | \(-0.198106\pi\) |
−0.911109 | + | 0.412166i | \(0.864772\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 28.8454 | + | 1.28287i | 0.967444 | + | 0.0430261i | ||||
\(890\) | 41.0608i | 1.37636i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −3.20041 | − | 1.84776i | −0.107158 | − | 0.0618675i | ||||
\(893\) | −16.8718 | − | 9.74092i | −0.564592 | − | 0.325968i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.26388i | 0.309657i | ||||||||
\(896\) | −2.34780 | + | 1.21977i | −0.0784345 | + | 0.0407496i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 13.5678 | + | 23.5001i | 0.452763 | + | 0.784208i | ||||
\(899\) | −1.86675 | + | 3.23330i | −0.0622595 | + | 0.107837i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.49170 | + | 0.861233i | −0.0496957 | + | 0.0286918i | ||||
\(902\) | 5.36710 | 0.178705 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −11.9318 | −0.396847 | ||||||||
\(905\) | 7.28130 | − | 4.20386i | 0.242039 | − | 0.139741i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 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 | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 22.1820 | − | 34.7565i | 0.735327 | − | 1.15217i | ||||
\(911\) | 16.1695i | 0.535718i | 0.963458 | + | 0.267859i | \(0.0863162\pi\) | ||||
−0.963458 | + | 0.267859i | \(0.913684\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.51584 | + | 3.18457i | 0.182548 | + | 0.105394i | ||||
\(914\) | 7.30229 | + | 4.21598i | 0.241538 | + | 0.139452i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | − | 15.9603i | − | 0.527344i | ||||||
\(917\) | 2.41435 | + | 4.64713i | 0.0797289 | + | 0.153462i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −26.5159 | − | 45.9269i | −0.874680 | − | 1.51499i | −0.857104 | − | 0.515144i | \(-0.827738\pi\) |
−0.0175762 | − | 0.999846i | \(-0.505595\pi\) | |||||||
\(920\) | −4.45647 | + | 7.71884i | −0.146926 | + | 0.254482i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −8.09133 | + | 4.67153i | −0.266474 | + | 0.153849i | ||||
\(923\) | 1.59472 | 0.0524909 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.48228 | −0.0487372 | ||||||||
\(926\) | −22.0458 | + | 12.7281i | −0.724469 | + | 0.418272i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.923371 | + | 1.59933i | −0.0303112 | + | 0.0525005i | ||||
\(929\) | 1.47585 | + | 2.55624i | 0.0484209 | + | 0.0838675i | 0.889220 | − | 0.457480i | \(-0.151248\pi\) |
−0.840799 | + | 0.541347i | \(0.817914\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −18.1803 | + | 8.44170i | −0.595834 | + | 0.276666i | ||||
\(932\) | − | 7.13153i | − | 0.233601i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −17.8746 | − | 10.3199i | −0.584873 | − | 0.337677i | ||||
\(935\) | 14.5095 | + | 8.37704i | 0.474510 | + | 0.273958i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 27.1986i | 0.888540i | 0.895893 | + | 0.444270i | \(0.146537\pi\) | ||||
−0.895893 | + | 0.444270i | \(0.853463\pi\) | |||||||
\(938\) | −0.599413 | + | 13.4778i | −0.0195715 | + | 0.440067i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −7.76244 | − | 13.4449i | −0.253183 | − | 0.438526i | ||||
\(941\) | −7.56366 | + | 13.1007i | −0.246568 | + | 0.427069i | −0.962571 | − | 0.271028i | \(-0.912636\pi\) |
0.716003 | + | 0.698097i | \(0.245970\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −16.6098 | + | 9.58966i | −0.540889 | + | 0.312282i | ||||
\(944\) | −1.94202 | −0.0632073 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 8.18124 | 0.265995 | ||||||||
\(947\) | −15.6804 | + | 9.05308i | −0.509545 | + | 0.294186i | −0.732646 | − | 0.680609i | \(-0.761715\pi\) |
0.223102 | + | 0.974795i | \(0.428382\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −23.2349 | + | 40.2440i | −0.754237 | + | 1.30638i | ||||
\(950\) | 0.296473 | + | 0.513506i | 0.00961884 | + | 0.0166603i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −14.9812 | − | 9.56116i | −0.485543 | − | 0.309879i | ||||
\(953\) | − | 31.8552i | − | 1.03189i | −0.856621 | − | 0.515946i | \(-0.827441\pi\) | ||
0.856621 | − | 0.515946i | \(-0.172559\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 50.9833 | + | 29.4352i | 1.64978 | + | 0.952501i | ||||
\(956\) | −13.6219 | − | 7.86462i | −0.440565 | − | 0.254360i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 6.14884i | − | 0.198660i | ||||||
\(959\) | −7.38903 | − | 4.71577i | −0.238604 | − | 0.152280i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −13.4564 | − | 23.3072i | −0.434079 | − | 0.751846i | ||||
\(962\) | 24.4440 | − | 42.3382i | 0.788105 | − | 1.36504i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.39292 | + | 0.804201i | −0.0448628 | + | 0.0259016i | ||||
\(965\) | −21.1912 | −0.682167 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.64610 | −0.0850928 | −0.0425464 | − | 0.999094i | \(-0.513547\pi\) | ||||
−0.0425464 | + | 0.999094i | \(0.513547\pi\) | |||||||
\(968\) | 8.49163 | − | 4.90265i | 0.272931 | − | 0.157577i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.45299 | + | 9.44486i | −0.175085 | + | 0.303256i | ||||
\(971\) | 17.9023 | + | 31.0077i | 0.574513 | + | 0.995086i | 0.996094 | + | 0.0882950i | \(0.0281418\pi\) |
−0.421581 | + | 0.906791i | \(0.638525\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.408155 | + | 9.17739i | −0.0130849 | + | 0.294214i | ||||
\(974\) | − | 19.7273i | − | 0.632104i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.15315 | + | 0.665771i | 0.0369114 | + | 0.0213108i | ||||
\(977\) | −3.83398 | − | 2.21355i | −0.122660 | − | 0.0708178i | 0.437415 | − | 0.899260i | \(-0.355894\pi\) |
−0.560075 | + | 0.828442i | \(0.689228\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 19.6681i | − | 0.628595i | ||||||
\(980\) | −15.9102 | − | 1.41799i | −0.508234 | − | 0.0452960i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 1.97994 | + | 3.42935i | 0.0631823 | + | 0.109435i | ||||
\(983\) | 8.90634 | − | 15.4262i | 0.284068 | − | 0.492021i | −0.688315 | − | 0.725412i | \(-0.741649\pi\) |
0.972383 | + | 0.233392i | \(0.0749824\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 11.5851 | − | 6.68868i | 0.369133 | − | 0.213119i | ||||
\(986\) | −12.4051 | −0.395058 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −19.5562 | −0.622166 | ||||||||
\(989\) | −25.3188 | + | 14.6178i | −0.805091 | + | 0.464819i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.62877 | − | 13.2134i | 0.242336 | − | 0.419738i | −0.719043 | − | 0.694965i | \(-0.755420\pi\) |
0.961379 | + | 0.275227i | \(0.0887531\pi\) | |||||||
\(992\) | 1.01083 | + | 1.75081i | 0.0320940 | + | 0.0555884i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.284824 | − | 0.548227i | −0.00903406 | − | 0.0173887i | ||||
\(995\) | 36.6560i | 1.16207i | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −35.7668 | − | 20.6500i | −1.13275 | − | 0.653991i | −0.188122 | − | 0.982146i | \(-0.560240\pi\) |
−0.944624 | + | 0.328155i | \(0.893573\pi\) | |||||||
\(998\) | −31.8856 | − | 18.4092i | −1.00932 | − | 0.582732i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))