Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [847,2,Mod(9,847)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(847, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("847.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 847 = 7 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 847.n (of order \(15\), degree \(8\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.76332905120\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | no (minimal twist has level 77) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 753.2 | ||
Character | \(\chi\) | \(=\) | 847.753 |
Dual form | 847.2.n.d.9.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/847\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(365\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.439365 | + | 0.487964i | −0.310678 | + | 0.345043i | −0.878181 | − | 0.478329i | \(-0.841243\pi\) |
0.567503 | + | 0.823371i | \(0.307909\pi\) | |||||||
\(3\) | 1.74691 | − | 0.777774i | 1.00858 | − | 0.449048i | 0.165138 | − | 0.986271i | \(-0.447193\pi\) |
0.843440 | + | 0.537223i | \(0.180527\pi\) | |||||||
\(4\) | 0.163989 | + | 1.56026i | 0.0819947 | + | 0.780128i | ||||
\(5\) | 3.49086 | − | 0.742006i | 1.56116 | − | 0.331835i | 0.655286 | − | 0.755381i | \(-0.272548\pi\) |
0.905875 | + | 0.423546i | \(0.139215\pi\) | |||||||
\(6\) | −0.388004 | + | 1.19415i | −0.158402 | + | 0.487512i | ||||
\(7\) | 0.295442 | − | 2.62920i | 0.111666 | − | 0.993746i | ||||
\(8\) | −1.89583 | − | 1.37740i | −0.670279 | − | 0.486986i | ||||
\(9\) | 0.439365 | − | 0.487964i | 0.146455 | − | 0.162655i | ||||
\(10\) | −1.17169 | + | 2.02943i | −0.370521 | + | 0.641761i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 1.50000 | + | 2.59808i | 0.433013 | + | 0.750000i | ||||
\(13\) | 1.82698 | + | 5.62286i | 0.506713 | + | 1.55950i | 0.797872 | + | 0.602827i | \(0.205959\pi\) |
−0.291159 | + | 0.956675i | \(0.594041\pi\) | |||||||
\(14\) | 1.15315 | + | 1.29934i | 0.308192 | + | 0.347264i | ||||
\(15\) | 5.52110 | − | 4.01132i | 1.42554 | − | 1.03572i | ||||
\(16\) | −1.56405 | + | 0.332448i | −0.391012 | + | 0.0831121i | ||||
\(17\) | 1.10850 | + | 1.23111i | 0.268850 | + | 0.298588i | 0.862419 | − | 0.506195i | \(-0.168948\pi\) |
−0.593569 | + | 0.804783i | \(0.702282\pi\) | |||||||
\(18\) | 0.0450675 | + | 0.428789i | 0.0106225 | + | 0.101066i | ||||
\(19\) | 0.154815 | − | 1.47297i | 0.0355170 | − | 0.337921i | −0.962306 | − | 0.271970i | \(-0.912325\pi\) |
0.997823 | − | 0.0659518i | \(-0.0210084\pi\) | |||||||
\(20\) | 1.73018 | + | 5.32495i | 0.386881 | + | 1.19070i | ||||
\(21\) | −1.52882 | − | 4.82277i | −0.333615 | − | 1.05241i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.67169 | − | 2.89545i | −0.348571 | − | 0.603743i | 0.637425 | − | 0.770513i | \(-0.280000\pi\) |
−0.985996 | + | 0.166769i | \(0.946666\pi\) | |||||||
\(24\) | −4.38316 | − | 0.931669i | −0.894708 | − | 0.190176i | ||||
\(25\) | 7.06782 | − | 3.14679i | 1.41356 | − | 0.629359i | ||||
\(26\) | −3.54647 | − | 1.57899i | −0.695519 | − | 0.309665i | ||||
\(27\) | −1.38473 | + | 4.26176i | −0.266491 | + | 0.820176i | ||||
\(28\) | 4.15068 | + | 0.0298029i | 0.784405 | + | 0.00563222i | ||||
\(29\) | 2.49183 | − | 1.81042i | 0.462721 | − | 0.336186i | −0.331877 | − | 0.943323i | \(-0.607682\pi\) |
0.794598 | + | 0.607136i | \(0.207682\pi\) | |||||||
\(30\) | −0.468400 | + | 4.45653i | −0.0855178 | + | 0.813648i | ||||
\(31\) | 6.92535 | + | 1.47203i | 1.24383 | + | 0.264384i | 0.782391 | − | 0.622788i | \(-0.214000\pi\) |
0.461439 | + | 0.887172i | \(0.347333\pi\) | |||||||
\(32\) | 2.86834 | − | 4.96812i | 0.507056 | − | 0.878247i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.08777 | −0.186551 | ||||||||
\(35\) | −0.919538 | − | 9.39741i | −0.155430 | − | 1.58845i | ||||
\(36\) | 0.833400 | + | 0.605500i | 0.138900 | + | 0.100917i | ||||
\(37\) | −4.12120 | − | 1.83488i | −0.677521 | − | 0.301652i | 0.0389776 | − | 0.999240i | \(-0.487590\pi\) |
−0.716499 | + | 0.697588i | \(0.754257\pi\) | |||||||
\(38\) | 0.650734 | + | 0.722713i | 0.105563 | + | 0.117240i | ||||
\(39\) | 7.56488 | + | 8.40165i | 1.21135 | + | 1.34534i | ||||
\(40\) | −7.64014 | − | 3.40161i | −1.20801 | − | 0.537841i | ||||
\(41\) | −1.04019 | − | 0.755743i | −0.162451 | − | 0.118027i | 0.503590 | − | 0.863943i | \(-0.332012\pi\) |
−0.666041 | + | 0.745916i | \(0.732012\pi\) | |||||||
\(42\) | 3.02504 | + | 1.37295i | 0.466774 | + | 0.211850i | ||||
\(43\) | −1.59899 | −0.243843 | −0.121922 | − | 0.992540i | \(-0.538906\pi\) | ||||
−0.121922 | + | 0.992540i | \(0.538906\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.17169 | − | 2.02943i | 0.174665 | − | 0.302529i | ||||
\(46\) | 2.14736 | + | 0.456435i | 0.316611 | + | 0.0672977i | ||||
\(47\) | 0.173164 | − | 1.64755i | 0.0252586 | − | 0.240319i | −0.974607 | − | 0.223922i | \(-0.928114\pi\) |
0.999866 | − | 0.0163969i | \(-0.00521952\pi\) | |||||||
\(48\) | −2.47368 | + | 1.79723i | −0.357044 | + | 0.259408i | ||||
\(49\) | −6.82543 | − | 1.55355i | −0.975061 | − | 0.221936i | ||||
\(50\) | −1.56983 | + | 4.83143i | −0.222007 | + | 0.683268i | ||||
\(51\) | 2.89396 | + | 1.28848i | 0.405236 | + | 0.180423i | ||||
\(52\) | −8.47350 | + | 3.77264i | −1.17506 | + | 0.523172i | ||||
\(53\) | −9.02387 | − | 1.91808i | −1.23952 | − | 0.263469i | −0.458910 | − | 0.888483i | \(-0.651760\pi\) |
−0.780614 | + | 0.625014i | \(0.785093\pi\) | |||||||
\(54\) | −1.47118 | − | 2.54817i | −0.200203 | − | 0.346761i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −4.18158 | + | 4.57759i | −0.558788 | + | 0.611706i | ||||
\(57\) | −0.875186 | − | 2.69355i | −0.115921 | − | 0.356769i | ||||
\(58\) | −0.211402 | + | 2.01136i | −0.0277584 | + | 0.264104i | ||||
\(59\) | −0.925281 | − | 8.80346i | −0.120461 | − | 1.14611i | −0.873053 | − | 0.487625i | \(-0.837863\pi\) |
0.752592 | − | 0.658487i | \(-0.228803\pi\) | |||||||
\(60\) | 7.16408 | + | 7.95652i | 0.924879 | + | 1.02718i | ||||
\(61\) | −6.54064 | + | 1.39026i | −0.837443 | + | 0.178004i | −0.606620 | − | 0.794992i | \(-0.707475\pi\) |
−0.230823 | + | 0.972996i | \(0.574142\pi\) | |||||||
\(62\) | −3.76105 | + | 2.73256i | −0.477654 | + | 0.347036i | ||||
\(63\) | −1.15315 | − | 1.29934i | −0.145283 | − | 0.163702i | ||||
\(64\) | 0.175784 | + | 0.541008i | 0.0219730 | + | 0.0676260i | ||||
\(65\) | 10.5499 | + | 18.2730i | 1.30856 | + | 2.26649i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.91223 | − | 8.50823i | 0.600124 | − | 1.03945i | −0.392677 | − | 0.919676i | \(-0.628451\pi\) |
0.992802 | − | 0.119770i | \(-0.0382156\pi\) | |||||||
\(68\) | −1.73906 | + | 1.93142i | −0.210892 | + | 0.234220i | ||||
\(69\) | −5.17229 | − | 3.75789i | −0.622671 | − | 0.452397i | ||||
\(70\) | 4.98961 | + | 3.68019i | 0.596372 | + | 0.439867i | ||||
\(71\) | −2.66335 | + | 8.19694i | −0.316081 | + | 0.972798i | 0.659226 | + | 0.751945i | \(0.270884\pi\) |
−0.975307 | + | 0.220853i | \(0.929116\pi\) | |||||||
\(72\) | −1.50509 | + | 0.319916i | −0.177376 | + | 0.0377025i | ||||
\(73\) | 0.476770 | + | 4.53616i | 0.0558017 | + | 0.530917i | 0.986340 | + | 0.164723i | \(0.0526729\pi\) |
−0.930538 | + | 0.366195i | \(0.880660\pi\) | |||||||
\(74\) | 2.70607 | − | 1.20482i | 0.314574 | − | 0.140057i | ||||
\(75\) | 9.89933 | − | 10.9943i | 1.14308 | − | 1.26951i | ||||
\(76\) | 2.32359 | 0.266534 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −7.42345 | −0.840540 | ||||||||
\(79\) | 4.27796 | − | 4.75115i | 0.481308 | − | 0.534547i | −0.452765 | − | 0.891630i | \(-0.649562\pi\) |
0.934072 | + | 0.357084i | \(0.116229\pi\) | |||||||
\(80\) | −5.21319 | + | 2.32106i | −0.582853 | + | 0.259503i | ||||
\(81\) | 1.10160 | + | 10.4810i | 0.122399 | + | 1.16455i | ||||
\(82\) | 0.825799 | − | 0.175529i | 0.0911943 | − | 0.0193839i | ||||
\(83\) | −0.0518648 | + | 0.159623i | −0.00569290 | + | 0.0175209i | −0.953863 | − | 0.300243i | \(-0.902932\pi\) |
0.948170 | + | 0.317764i | \(0.102932\pi\) | |||||||
\(84\) | 7.27404 | − | 3.17623i | 0.793662 | − | 0.346555i | ||||
\(85\) | 4.78309 | + | 3.47512i | 0.518799 | + | 0.376930i | ||||
\(86\) | 0.702539 | − | 0.780249i | 0.0757568 | − | 0.0841364i | ||||
\(87\) | 2.94490 | − | 5.10071i | 0.315726 | − | 0.546854i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.28442 | + | 2.22469i | 0.136149 | + | 0.235817i | 0.926036 | − | 0.377436i | \(-0.123194\pi\) |
−0.789887 | + | 0.613252i | \(0.789861\pi\) | |||||||
\(90\) | 0.475488 | + | 1.46340i | 0.0501208 | + | 0.154256i | ||||
\(91\) | 15.3234 | − | 3.14227i | 1.60633 | − | 0.329400i | ||||
\(92\) | 4.24350 | − | 3.08309i | 0.442416 | − | 0.321434i | ||||
\(93\) | 13.2429 | − | 2.81486i | 1.37322 | − | 0.291887i | ||||
\(94\) | 0.727861 | + | 0.808371i | 0.0750731 | + | 0.0833771i | ||||
\(95\) | −0.552511 | − | 5.25679i | −0.0566864 | − | 0.539335i | ||||
\(96\) | 1.14666 | − | 10.9098i | 0.117031 | − | 1.11347i | ||||
\(97\) | 3.00880 | + | 9.26014i | 0.305498 | + | 0.940225i | 0.979491 | + | 0.201488i | \(0.0645776\pi\) |
−0.673994 | + | 0.738737i | \(0.735422\pi\) | |||||||
\(98\) | 3.75693 | − | 2.64799i | 0.379507 | − | 0.267487i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.06885 | + | 10.5116i | 0.606885 | + | 1.05116i | ||||
\(101\) | 1.81407 | + | 0.385592i | 0.180507 | + | 0.0383679i | 0.297278 | − | 0.954791i | \(-0.403921\pi\) |
−0.116771 | + | 0.993159i | \(0.537254\pi\) | |||||||
\(102\) | −1.90024 | + | 0.846040i | −0.188151 | + | 0.0837704i | ||||
\(103\) | −2.89396 | − | 1.28848i | −0.285151 | − | 0.126957i | 0.259177 | − | 0.965830i | \(-0.416549\pi\) |
−0.544328 | + | 0.838872i | \(0.683215\pi\) | |||||||
\(104\) | 4.28131 | − | 13.1765i | 0.419817 | − | 1.29206i | ||||
\(105\) | −8.91540 | − | 15.7012i | −0.870054 | − | 1.53228i | ||||
\(106\) | 4.90073 | − | 3.56059i | 0.476001 | − | 0.345835i | ||||
\(107\) | −0.498269 | + | 4.74071i | −0.0481695 | + | 0.458302i | 0.943677 | + | 0.330867i | \(0.107341\pi\) |
−0.991847 | + | 0.127435i | \(0.959326\pi\) | |||||||
\(108\) | −6.87651 | − | 1.46165i | −0.661693 | − | 0.140647i | ||||
\(109\) | −7.44105 | + | 12.8883i | −0.712723 | + | 1.23447i | 0.251108 | + | 0.967959i | \(0.419205\pi\) |
−0.963831 | + | 0.266513i | \(0.914128\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −8.62648 | −0.818789 | ||||||||
\(112\) | 0.411990 | + | 4.21042i | 0.0389294 | + | 0.397847i | ||||
\(113\) | −10.0668 | − | 7.31395i | −0.947004 | − | 0.688039i | 0.00309244 | − | 0.999995i | \(-0.499016\pi\) |
−0.950096 | + | 0.311957i | \(0.899016\pi\) | |||||||
\(114\) | 1.69888 | + | 0.756390i | 0.159115 | + | 0.0708424i | ||||
\(115\) | −7.98408 | − | 8.86722i | −0.744519 | − | 0.826872i | ||||
\(116\) | 3.23335 | + | 3.59100i | 0.300209 | + | 0.333416i | ||||
\(117\) | 3.54647 | + | 1.57899i | 0.327871 | + | 0.145978i | ||||
\(118\) | 4.70231 | + | 3.41643i | 0.432883 | + | 0.314508i | ||||
\(119\) | 3.56433 | − | 2.55074i | 0.326742 | − | 0.233826i | ||||
\(120\) | −15.9923 | −1.45989 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 2.19533 | − | 3.80243i | 0.198756 | − | 0.344255i | ||||
\(123\) | −2.40492 | − | 0.511181i | −0.216844 | − | 0.0460916i | ||||
\(124\) | −1.16106 | + | 11.0467i | −0.104266 | + | 0.992024i | ||||
\(125\) | 7.90153 | − | 5.74080i | 0.706734 | − | 0.513472i | ||||
\(126\) | 1.14069 | + | 0.00819041i | 0.101621 | + | 0.000729660i | ||||
\(127\) | 2.04613 | − | 6.29735i | 0.181565 | − | 0.558799i | −0.818307 | − | 0.574781i | \(-0.805087\pi\) |
0.999872 | + | 0.0159816i | \(0.00508731\pi\) | |||||||
\(128\) | 10.1402 | + | 4.51472i | 0.896278 | + | 0.399049i | ||||
\(129\) | −2.79329 | + | 1.24365i | −0.245935 | + | 0.109497i | ||||
\(130\) | −13.5518 | − | 2.88053i | −1.18858 | − | 0.252639i | ||||
\(131\) | −3.02882 | − | 5.24606i | −0.264629 | − | 0.458351i | 0.702837 | − | 0.711351i | \(-0.251916\pi\) |
−0.967466 | + | 0.253000i | \(0.918583\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.82699 | − | 0.842215i | −0.331842 | − | 0.0730293i | ||||
\(134\) | 1.99345 | + | 6.13521i | 0.172208 | + | 0.530001i | ||||
\(135\) | −1.67165 | + | 15.9047i | −0.143873 | + | 1.36886i | ||||
\(136\) | −0.405789 | − | 3.86082i | −0.0347961 | − | 0.331063i | ||||
\(137\) | −4.96726 | − | 5.51670i | −0.424381 | − | 0.471323i | 0.492599 | − | 0.870257i | \(-0.336047\pi\) |
−0.916980 | + | 0.398933i | \(0.869380\pi\) | |||||||
\(138\) | 4.10624 | − | 0.872808i | 0.349546 | − | 0.0742984i | ||||
\(139\) | −8.75717 | + | 6.36246i | −0.742774 | + | 0.539657i | −0.893578 | − | 0.448907i | \(-0.851813\pi\) |
0.150805 | + | 0.988564i | \(0.451813\pi\) | |||||||
\(140\) | 14.5116 | − | 2.97579i | 1.22645 | − | 0.251500i | ||||
\(141\) | −0.978916 | − | 3.01279i | −0.0824396 | − | 0.253723i | ||||
\(142\) | −2.82963 | − | 4.90107i | −0.237458 | − | 0.411288i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −0.524964 | + | 0.909265i | −0.0437470 | + | 0.0757721i | ||||
\(145\) | 7.35528 | − | 8.16887i | 0.610823 | − | 0.678388i | ||||
\(146\) | −2.42296 | − | 1.76038i | −0.200525 | − | 0.145690i | ||||
\(147\) | −13.1317 | + | 2.59472i | −1.08309 | + | 0.214009i | ||||
\(148\) | 2.18704 | − | 6.73103i | 0.179774 | − | 0.553287i | ||||
\(149\) | −0.978148 | + | 0.207912i | −0.0801330 | + | 0.0170328i | −0.247804 | − | 0.968810i | \(-0.579709\pi\) |
0.167671 | + | 0.985843i | \(0.446375\pi\) | |||||||
\(150\) | 1.01542 | + | 9.66104i | 0.0829084 | + | 0.788820i | ||||
\(151\) | −15.0036 | + | 6.68002i | −1.22097 | + | 0.543612i | −0.913069 | − | 0.407805i | \(-0.866294\pi\) |
−0.307904 | + | 0.951417i | \(0.599628\pi\) | |||||||
\(152\) | −2.32237 | + | 2.57925i | −0.188369 | + | 0.209205i | ||||
\(153\) | 1.08777 | 0.0879411 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 25.2677 | 2.02955 | ||||||||
\(156\) | −11.8682 | + | 13.1809i | −0.950213 | + | 1.05532i | ||||
\(157\) | −10.4610 | + | 4.65752i | −0.834875 | + | 0.371710i | −0.779228 | − | 0.626740i | \(-0.784389\pi\) |
−0.0556468 | + | 0.998451i | \(0.517722\pi\) | |||||||
\(158\) | 0.438808 | + | 4.17498i | 0.0349097 | + | 0.332144i | ||||
\(159\) | −17.2557 | + | 3.66781i | −1.36847 | + | 0.290877i | ||||
\(160\) | 6.32662 | − | 19.4713i | 0.500163 | − | 1.53934i | ||||
\(161\) | −8.10662 | + | 3.53978i | −0.638891 | + | 0.278973i | ||||
\(162\) | −5.59834 | − | 4.06743i | −0.439847 | − | 0.319568i | ||||
\(163\) | −5.98184 | + | 6.64351i | −0.468534 | + | 0.520360i | −0.930378 | − | 0.366601i | \(-0.880521\pi\) |
0.461844 | + | 0.886961i | \(0.347188\pi\) | |||||||
\(164\) | 1.00857 | − | 1.74690i | 0.0787563 | − | 0.136410i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.0551029 | − | 0.0954410i | −0.00427681 | − | 0.00740766i | ||||
\(167\) | 5.62960 | + | 17.3261i | 0.435631 | + | 1.34074i | 0.892438 | + | 0.451170i | \(0.148993\pi\) |
−0.456807 | + | 0.889566i | \(0.651007\pi\) | |||||||
\(168\) | −3.74451 | + | 11.2490i | −0.288896 | + | 0.867876i | ||||
\(169\) | −17.7615 | + | 12.9045i | −1.36627 | + | 0.992654i | ||||
\(170\) | −3.79726 | + | 0.807132i | −0.291236 | + | 0.0619042i | ||||
\(171\) | −0.650734 | − | 0.722713i | −0.0497629 | − | 0.0552673i | ||||
\(172\) | −0.262217 | − | 2.49483i | −0.0199939 | − | 0.190229i | ||||
\(173\) | 2.04470 | − | 19.4540i | 0.155455 | − | 1.47906i | −0.587231 | − | 0.809420i | \(-0.699782\pi\) |
0.742686 | − | 0.669640i | \(-0.233551\pi\) | |||||||
\(174\) | 1.19508 | + | 3.67808i | 0.0905988 | + | 0.278834i | ||||
\(175\) | −6.18544 | − | 19.5124i | −0.467575 | − | 1.47500i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −8.46348 | − | 14.6592i | −0.636154 | − | 1.10185i | ||||
\(178\) | −1.64990 | − | 0.350697i | −0.123665 | − | 0.0262858i | ||||
\(179\) | 2.96711 | − | 1.32104i | 0.221772 | − | 0.0987393i | −0.292843 | − | 0.956160i | \(-0.594601\pi\) |
0.514615 | + | 0.857421i | \(0.327935\pi\) | |||||||
\(180\) | 3.35857 | + | 1.49533i | 0.250333 | + | 0.111455i | ||||
\(181\) | −3.19546 | + | 9.83462i | −0.237517 | + | 0.731002i | 0.759261 | + | 0.650787i | \(0.225561\pi\) |
−0.996778 | + | 0.0802152i | \(0.974439\pi\) | |||||||
\(182\) | −5.19926 | + | 8.85788i | −0.385395 | + | 0.656590i | ||||
\(183\) | −10.3446 | + | 7.51578i | −0.764694 | + | 0.555583i | ||||
\(184\) | −0.818960 | + | 7.79189i | −0.0603746 | + | 0.574426i | ||||
\(185\) | −15.7480 | − | 3.34735i | −1.15782 | − | 0.246102i | ||||
\(186\) | −4.44490 | + | 7.69879i | −0.325916 | + | 0.564502i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 2.59899 | 0.189551 | ||||||||
\(189\) | 10.7959 | + | 4.89984i | 0.785288 | + | 0.356411i | ||||
\(190\) | 2.80788 | + | 2.04004i | 0.203705 | + | 0.148000i | ||||
\(191\) | 9.15595 | + | 4.07649i | 0.662501 | + | 0.294965i | 0.710307 | − | 0.703892i | \(-0.248556\pi\) |
−0.0478056 | + | 0.998857i | \(0.515223\pi\) | |||||||
\(192\) | 0.727861 | + | 0.808371i | 0.0525288 | + | 0.0583392i | ||||
\(193\) | −16.9460 | − | 18.8204i | −1.21980 | − | 1.35472i | −0.915589 | − | 0.402115i | \(-0.868275\pi\) |
−0.304207 | − | 0.952606i | \(-0.598391\pi\) | |||||||
\(194\) | −5.84058 | − | 2.60039i | −0.419329 | − | 0.186697i | ||||
\(195\) | 32.6420 | + | 23.7158i | 2.33754 | + | 1.69833i | ||||
\(196\) | 1.30464 | − | 10.9042i | 0.0931887 | − | 0.778870i | ||||
\(197\) | 24.5809 | 1.75132 | 0.875660 | − | 0.482929i | \(-0.160427\pi\) | ||||
0.875660 | + | 0.482929i | \(0.160427\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.79564 | + | 4.84219i | −0.198178 | + | 0.343254i | −0.947938 | − | 0.318456i | \(-0.896836\pi\) |
0.749760 | + | 0.661710i | \(0.230169\pi\) | |||||||
\(200\) | −17.7338 | − | 3.76944i | −1.25397 | − | 0.266540i | ||||
\(201\) | 1.96374 | − | 18.6837i | 0.138511 | − | 1.31785i | ||||
\(202\) | −0.985194 | + | 0.715785i | −0.0693180 | + | 0.0503625i | ||||
\(203\) | −4.02377 | − | 7.08639i | −0.282413 | − | 0.497367i | ||||
\(204\) | −1.53577 | + | 4.72662i | −0.107526 | + | 0.330930i | ||||
\(205\) | −4.19193 | − | 1.86637i | −0.292777 | − | 0.130353i | ||||
\(206\) | 1.90024 | − | 0.846040i | 0.132396 | − | 0.0589464i | ||||
\(207\) | −2.14736 | − | 0.456435i | −0.149252 | − | 0.0317244i | ||||
\(208\) | −4.72679 | − | 8.18705i | −0.327744 | − | 0.567669i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 11.5787 | + | 2.54817i | 0.799009 | + | 0.175840i | ||||
\(211\) | −3.73906 | − | 11.5076i | −0.257408 | − | 0.792219i | −0.993346 | − | 0.115170i | \(-0.963259\pi\) |
0.735938 | − | 0.677049i | \(-0.236741\pi\) | |||||||
\(212\) | 1.51288 | − | 14.3941i | 0.103905 | − | 0.988590i | ||||
\(213\) | 1.72274 | + | 16.3908i | 0.118040 | + | 1.12308i | ||||
\(214\) | −2.09438 | − | 2.32604i | −0.143169 | − | 0.159005i | ||||
\(215\) | −5.58185 | + | 1.18646i | −0.380679 | + | 0.0809158i | ||||
\(216\) | 8.49538 | − | 6.17226i | 0.578037 | − | 0.419969i | ||||
\(217\) | 5.91630 | − | 17.7733i | 0.401625 | − | 1.20653i | ||||
\(218\) | −3.01968 | − | 9.29361i | −0.204518 | − | 0.629443i | ||||
\(219\) | 4.36098 | + | 7.55344i | 0.294688 | + | 0.510414i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.89716 | + | 8.48213i | −0.329419 | + | 0.570570i | ||||
\(222\) | 3.79017 | − | 4.20941i | 0.254380 | − | 0.282517i | ||||
\(223\) | −12.6421 | − | 9.18502i | −0.846577 | − | 0.615074i | 0.0776232 | − | 0.996983i | \(-0.475267\pi\) |
−0.924200 | + | 0.381909i | \(0.875267\pi\) | |||||||
\(224\) | −12.2148 | − | 9.00925i | −0.816133 | − | 0.601956i | ||||
\(225\) | 1.56983 | − | 4.83143i | 0.104655 | − | 0.322095i | ||||
\(226\) | 7.99194 | − | 1.69874i | 0.531616 | − | 0.112998i | ||||
\(227\) | −1.63783 | − | 15.5829i | −0.108706 | − | 1.03427i | −0.903850 | − | 0.427850i | \(-0.859271\pi\) |
0.795143 | − | 0.606421i | \(-0.207396\pi\) | |||||||
\(228\) | 4.05910 | − | 1.80723i | 0.268820 | − | 0.119687i | ||||
\(229\) | −3.72806 | + | 4.14043i | −0.246357 | + | 0.273607i | −0.853623 | − | 0.520892i | \(-0.825600\pi\) |
0.607266 | + | 0.794499i | \(0.292266\pi\) | |||||||
\(230\) | 7.83481 | 0.516612 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −7.21777 | −0.473870 | ||||||||
\(233\) | 12.8978 | − | 14.3244i | 0.844960 | − | 0.938423i | −0.153805 | − | 0.988101i | \(-0.549153\pi\) |
0.998765 | + | 0.0496777i | \(0.0158194\pi\) | |||||||
\(234\) | −2.32868 | + | 1.03680i | −0.152231 | + | 0.0677775i | ||||
\(235\) | −0.617996 | − | 5.87984i | −0.0403136 | − | 0.383559i | ||||
\(236\) | 13.5839 | − | 2.88735i | 0.884237 | − | 0.187950i | ||||
\(237\) | 3.77788 | − | 11.6271i | 0.245400 | − | 0.755262i | ||||
\(238\) | −0.321373 | + | 2.85997i | −0.0208315 | + | 0.185384i | ||||
\(239\) | −17.9258 | − | 13.0238i | −1.15952 | − | 0.842443i | −0.169805 | − | 0.985478i | \(-0.554314\pi\) |
−0.989718 | + | 0.143035i | \(0.954314\pi\) | |||||||
\(240\) | −7.30171 | + | 8.10937i | −0.471323 | + | 0.523457i | ||||
\(241\) | −9.93719 | + | 17.2117i | −0.640111 | + | 1.10870i | 0.345297 | + | 0.938494i | \(0.387778\pi\) |
−0.985408 | + | 0.170211i | \(0.945555\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 3.35460 | + | 5.81033i | 0.215198 | + | 0.372733i | ||||
\(244\) | −3.24175 | − | 9.97708i | −0.207532 | − | 0.638717i | ||||
\(245\) | −24.9794 | − | 0.358734i | −1.59587 | − | 0.0229187i | ||||
\(246\) | 1.30607 | − | 0.948918i | 0.0832722 | − | 0.0605008i | ||||
\(247\) | 8.56513 | − | 1.82057i | 0.544986 | − | 0.115840i | ||||
\(248\) | −11.1017 | − | 12.3297i | −0.704961 | − | 0.782938i | ||||
\(249\) | 0.0335478 | + | 0.319186i | 0.00212601 | + | 0.0202276i | ||||
\(250\) | −0.670351 | + | 6.37797i | −0.0423967 | + | 0.403378i | ||||
\(251\) | 6.83161 | + | 21.0255i | 0.431208 | + | 1.32712i | 0.896923 | + | 0.442186i | \(0.145797\pi\) |
−0.465716 | + | 0.884934i | \(0.654203\pi\) | |||||||
\(252\) | 1.83821 | − | 2.01229i | 0.115796 | − | 0.126762i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 2.17388 | + | 3.76527i | 0.136401 | + | 0.236254i | ||||
\(255\) | 11.0585 | + | 2.35055i | 0.692509 | + | 0.147197i | ||||
\(256\) | −7.69762 | + | 3.42720i | −0.481101 | + | 0.214200i | ||||
\(257\) | 26.6021 | + | 11.8440i | 1.65939 | + | 0.738810i | 0.999917 | − | 0.0129137i | \(-0.00411066\pi\) |
0.659478 | + | 0.751724i | \(0.270777\pi\) | |||||||
\(258\) | 0.620415 | − | 1.90944i | 0.0386253 | − | 0.118877i | ||||
\(259\) | −6.04184 | + | 10.2934i | −0.375422 | + | 0.639600i | ||||
\(260\) | −26.7805 | + | 19.4572i | −1.66086 | + | 1.20668i | ||||
\(261\) | 0.211402 | − | 2.01136i | 0.0130855 | − | 0.124500i | ||||
\(262\) | 3.89065 | + | 0.826982i | 0.240365 | + | 0.0510911i | ||||
\(263\) | −7.75176 | + | 13.4264i | −0.477994 | + | 0.827910i | −0.999682 | − | 0.0252268i | \(-0.991969\pi\) |
0.521688 | + | 0.853136i | \(0.325303\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −32.9243 | −2.02252 | ||||||||
\(266\) | 2.09241 | − | 1.49739i | 0.128294 | − | 0.0918110i | ||||
\(267\) | 3.97408 | + | 2.88734i | 0.243210 | + | 0.176702i | ||||
\(268\) | 14.0806 | + | 6.26907i | 0.860107 | + | 0.382944i | ||||
\(269\) | 1.14190 | + | 1.26821i | 0.0696231 | + | 0.0773243i | 0.776950 | − | 0.629562i | \(-0.216766\pi\) |
−0.707327 | + | 0.706887i | \(0.750099\pi\) | |||||||
\(270\) | −7.02645 | − | 7.80367i | −0.427616 | − | 0.474916i | ||||
\(271\) | 18.7536 | + | 8.34964i | 1.13920 | + | 0.507204i | 0.887595 | − | 0.460626i | \(-0.152375\pi\) |
0.251605 | + | 0.967830i | \(0.419042\pi\) | |||||||
\(272\) | −2.14302 | − | 1.55699i | −0.129940 | − | 0.0944066i | ||||
\(273\) | 24.3246 | − | 17.4074i | 1.47219 | − | 1.05354i | ||||
\(274\) | 4.87439 | 0.294472 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 5.01507 | − | 8.68635i | 0.301872 | − | 0.522857i | ||||
\(277\) | −26.0784 | − | 5.54313i | −1.56690 | − | 0.333055i | −0.658967 | − | 0.752172i | \(-0.729006\pi\) |
−0.907932 | + | 0.419117i | \(0.862340\pi\) | |||||||
\(278\) | 0.742942 | − | 7.06862i | 0.0445587 | − | 0.423948i | ||||
\(279\) | 3.76105 | − | 2.73256i | 0.225168 | − | 0.163594i | ||||
\(280\) | −11.2007 | + | 19.0825i | −0.669372 | + | 1.14040i | ||||
\(281\) | −4.86528 | + | 14.9738i | −0.290239 | + | 0.893262i | 0.694541 | + | 0.719453i | \(0.255608\pi\) |
−0.984779 | + | 0.173809i | \(0.944392\pi\) | |||||||
\(282\) | 1.90024 | + | 0.846040i | 0.113157 | + | 0.0503809i | ||||
\(283\) | 14.6804 | − | 6.53614i | 0.872660 | − | 0.388533i | 0.0789856 | − | 0.996876i | \(-0.474832\pi\) |
0.793675 | + | 0.608342i | \(0.208165\pi\) | |||||||
\(284\) | −13.2261 | − | 2.81129i | −0.784824 | − | 0.166819i | ||||
\(285\) | −5.05378 | − | 8.75340i | −0.299360 | − | 0.518507i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −2.29432 | + | 2.51160i | −0.135429 | + | 0.148255i | ||||
\(288\) | −1.16401 | − | 3.58246i | −0.0685901 | − | 0.211099i | ||||
\(289\) | 1.49012 | − | 14.1775i | 0.0876539 | − | 0.833971i | ||||
\(290\) | 0.754462 | + | 7.17823i | 0.0443035 | + | 0.421520i | ||||
\(291\) | 12.4584 | + | 13.8364i | 0.730324 | + | 0.811107i | ||||
\(292\) | −6.99938 | + | 1.48776i | −0.409608 | + | 0.0870648i | ||||
\(293\) | 12.4068 | − | 9.01408i | 0.724814 | − | 0.526608i | −0.163104 | − | 0.986609i | \(-0.552151\pi\) |
0.887919 | + | 0.460000i | \(0.152151\pi\) | |||||||
\(294\) | 4.50348 | − | 7.54783i | 0.262648 | − | 0.440199i | ||||
\(295\) | −9.76224 | − | 30.0451i | −0.568380 | − | 1.74929i | ||||
\(296\) | 5.28575 | + | 9.15518i | 0.307228 | + | 0.532134i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.328310 | − | 0.568650i | 0.0190185 | − | 0.0329410i | ||||
\(299\) | 13.2266 | − | 14.6896i | 0.764913 | − | 0.849522i | ||||
\(300\) | 18.7773 | + | 13.6425i | 1.08411 | + | 0.787652i | ||||
\(301\) | −0.472408 | + | 4.20407i | −0.0272291 | + | 0.242318i | ||||
\(302\) | 3.33243 | − | 10.2562i | 0.191760 | − | 0.590176i | ||||
\(303\) | 3.46892 | − | 0.737341i | 0.199284 | − | 0.0423591i | ||||
\(304\) | 0.247547 | + | 2.35525i | 0.0141978 | + | 0.135083i | ||||
\(305\) | −21.8009 | + | 9.70638i | −1.24831 | + | 0.555786i | ||||
\(306\) | −0.477928 | + | 0.530793i | −0.0273213 | + | 0.0303434i | ||||
\(307\) | 16.4707 | 0.940034 | 0.470017 | − | 0.882657i | \(-0.344248\pi\) | ||||
0.470017 | + | 0.882657i | \(0.344248\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −6.05763 | −0.344607 | ||||||||
\(310\) | −11.1017 | + | 12.3297i | −0.630536 | + | 0.700281i | ||||
\(311\) | 19.7592 | − | 8.79736i | 1.12044 | − | 0.498852i | 0.238940 | − | 0.971034i | \(-0.423200\pi\) |
0.881501 | + | 0.472182i | \(0.156533\pi\) | |||||||
\(312\) | −2.76929 | − | 26.3480i | −0.156780 | − | 1.49166i | ||||
\(313\) | −16.0301 | + | 3.40731i | −0.906076 | + | 0.192592i | −0.637305 | − | 0.770612i | \(-0.719951\pi\) |
−0.268771 | + | 0.963204i | \(0.586618\pi\) | |||||||
\(314\) | 2.32347 | − | 7.15092i | 0.131121 | − | 0.403550i | ||||
\(315\) | −4.98961 | − | 3.68019i | −0.281133 | − | 0.207355i | ||||
\(316\) | 8.11455 | + | 5.89557i | 0.456479 | + | 0.331652i | ||||
\(317\) | 2.98519 | − | 3.31538i | 0.167665 | − | 0.186211i | −0.653457 | − | 0.756964i | \(-0.726682\pi\) |
0.821122 | + | 0.570753i | \(0.193349\pi\) | |||||||
\(318\) | 5.79179 | − | 10.0317i | 0.324787 | − | 0.562548i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 1.01507 | + | 1.75815i | 0.0567441 | + | 0.0982837i | ||||
\(321\) | 2.81677 | + | 8.66913i | 0.157217 | + | 0.483864i | ||||
\(322\) | 1.83448 | − | 5.51099i | 0.102232 | − | 0.307116i | ||||
\(323\) | 1.98499 | − | 1.44218i | 0.110448 | − | 0.0802451i | ||||
\(324\) | −16.1724 | + | 3.43754i | −0.898464 | + | 0.190974i | ||||
\(325\) | 30.6067 | + | 33.9922i | 1.69776 | + | 1.88555i | ||||
\(326\) | −0.613583 | − | 5.83785i | −0.0339832 | − | 0.323328i | ||||
\(327\) | −2.97467 | + | 28.3021i | −0.164499 | + | 1.56511i | ||||
\(328\) | 0.931066 | + | 2.86553i | 0.0514095 | + | 0.158222i | ||||
\(329\) | −4.28057 | − | 0.942037i | −0.235996 | − | 0.0519362i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.51979 | − | 16.4888i | −0.523255 | − | 0.906304i | −0.999634 | − | 0.0270640i | \(-0.991384\pi\) |
0.476379 | − | 0.879240i | \(-0.341949\pi\) | |||||||
\(332\) | −0.257558 | − | 0.0547457i | −0.0141354 | − | 0.00300456i | ||||
\(333\) | −2.70607 | + | 1.20482i | −0.148291 | + | 0.0660236i | ||||
\(334\) | −10.9280 | − | 4.86545i | −0.597952 | − | 0.266225i | ||||
\(335\) | 10.8348 | − | 33.3460i | 0.591966 | − | 1.82188i | ||||
\(336\) | 3.99446 | + | 7.03478i | 0.217916 | + | 0.383779i | ||||
\(337\) | 21.8554 | − | 15.8789i | 1.19054 | − | 0.864977i | 0.197217 | − | 0.980360i | \(-0.436810\pi\) |
0.993321 | + | 0.115383i | \(0.0368096\pi\) | |||||||
\(338\) | 1.50686 | − | 14.3368i | 0.0819621 | − | 0.779818i | ||||
\(339\) | −23.2744 | − | 4.94712i | −1.26409 | − | 0.268691i | ||||
\(340\) | −4.63770 | + | 8.03273i | −0.251515 | + | 0.435636i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0.638568 | 0.0345298 | ||||||||
\(343\) | −6.10113 | + | 17.4865i | −0.329430 | + | 0.944180i | ||||
\(344\) | 3.03142 | + | 2.20245i | 0.163443 | + | 0.118748i | ||||
\(345\) | −20.8441 | − | 9.28041i | −1.12221 | − | 0.499640i | ||||
\(346\) | 8.59448 | + | 9.54514i | 0.462042 | + | 0.513150i | ||||
\(347\) | 13.5283 | + | 15.0247i | 0.726239 | + | 0.806570i | 0.987319 | − | 0.158747i | \(-0.0507455\pi\) |
−0.261081 | + | 0.965317i | \(0.584079\pi\) | |||||||
\(348\) | 8.44134 | + | 3.75833i | 0.452504 | + | 0.201468i | ||||
\(349\) | −9.72635 | − | 7.06661i | −0.520640 | − | 0.378267i | 0.296205 | − | 0.955124i | \(-0.404279\pi\) |
−0.816845 | + | 0.576857i | \(0.804279\pi\) | |||||||
\(350\) | 12.2390 | + | 5.55480i | 0.654203 | + | 0.296917i | ||||
\(351\) | −26.4932 | −1.41410 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 5.37956 | − | 9.31767i | 0.286325 | − | 0.495930i | −0.686605 | − | 0.727031i | \(-0.740900\pi\) |
0.972930 | + | 0.231101i | \(0.0742329\pi\) | |||||||
\(354\) | 10.8717 | + | 2.31085i | 0.577825 | + | 0.122820i | ||||
\(355\) | −3.21520 | + | 30.5906i | −0.170645 | + | 1.62358i | ||||
\(356\) | −3.26045 | + | 2.36886i | −0.172804 | + | 0.125549i | ||||
\(357\) | 4.24266 | − | 7.22815i | 0.224546 | − | 0.382554i | ||||
\(358\) | −0.659022 | + | 2.02826i | −0.0348304 | + | 0.107197i | ||||
\(359\) | −22.1901 | − | 9.87969i | −1.17115 | − | 0.521430i | −0.273386 | − | 0.961905i | \(-0.588144\pi\) |
−0.897765 | + | 0.440475i | \(0.854810\pi\) | |||||||
\(360\) | −5.01667 | + | 2.23356i | −0.264402 | + | 0.117719i | ||||
\(361\) | 16.4391 | + | 3.49425i | 0.865218 | + | 0.183908i | ||||
\(362\) | −3.39497 | − | 5.88026i | −0.178436 | − | 0.309060i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.41563 | + | 23.3932i | 0.388684 | + | 1.22613i | ||||
\(365\) | 5.03019 | + | 15.4813i | 0.263292 | + | 0.810330i | ||||
\(366\) | 0.877616 | − | 8.34996i | 0.0458737 | − | 0.436459i | ||||
\(367\) | −1.13353 | − | 10.7848i | −0.0591699 | − | 0.562964i | −0.983441 | − | 0.181228i | \(-0.941993\pi\) |
0.924271 | − | 0.381736i | \(-0.124674\pi\) | |||||||
\(368\) | 3.57719 | + | 3.97287i | 0.186474 | + | 0.207100i | ||||
\(369\) | −0.825799 | + | 0.175529i | −0.0429894 | + | 0.00913768i | ||||
\(370\) | 8.55252 | − | 6.21377i | 0.444624 | − | 0.323038i | ||||
\(371\) | −7.70906 | + | 23.1589i | −0.400234 | + | 1.20235i | ||||
\(372\) | 6.56358 | + | 20.2006i | 0.340306 | + | 1.04735i | ||||
\(373\) | −16.5121 | − | 28.5998i | −0.854963 | − | 1.48084i | −0.876679 | − | 0.481076i | \(-0.840246\pi\) |
0.0217156 | − | 0.999764i | \(-0.493087\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 9.33821 | − | 16.1742i | 0.482223 | − | 0.835234i | ||||
\(376\) | −2.59763 | + | 2.88496i | −0.133962 | + | 0.148780i | ||||
\(377\) | 14.7323 | + | 10.7036i | 0.758749 | + | 0.551264i | ||||
\(378\) | −7.13430 | + | 3.11521i | −0.366949 | + | 0.160229i | ||||
\(379\) | −6.77737 | + | 20.8586i | −0.348130 | + | 1.07143i | 0.611757 | + | 0.791046i | \(0.290463\pi\) |
−0.959887 | + | 0.280388i | \(0.909537\pi\) | |||||||
\(380\) | 8.11133 | − | 1.72412i | 0.416102 | − | 0.0884453i | ||||
\(381\) | −1.32351 | − | 12.5923i | −0.0678053 | − | 0.645124i | ||||
\(382\) | −6.01198 | + | 2.67671i | −0.307600 | + | 0.136952i | ||||
\(383\) | 24.3985 | − | 27.0973i | 1.24671 | − | 1.38461i | 0.353206 | − | 0.935546i | \(-0.385091\pi\) |
0.893500 | − | 0.449062i | \(-0.148242\pi\) | |||||||
\(384\) | 21.2255 | 1.08316 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 16.6291 | 0.846400 | ||||||||
\(387\) | −0.702539 | + | 0.780249i | −0.0357121 | + | 0.0396623i | ||||
\(388\) | −13.9548 | + | 6.21306i | −0.708446 | + | 0.315421i | ||||
\(389\) | −2.03580 | − | 19.3693i | −0.103219 | − | 0.982064i | −0.916457 | − | 0.400133i | \(-0.868964\pi\) |
0.813238 | − | 0.581931i | \(-0.197703\pi\) | |||||||
\(390\) | −25.9142 | + | 5.50824i | −1.31222 | + | 0.278921i | ||||
\(391\) | 1.71156 | − | 5.26763i | 0.0865571 | − | 0.266395i | ||||
\(392\) | 10.8000 | + | 12.3467i | 0.545483 | + | 0.623600i | ||||
\(393\) | −9.37131 | − | 6.80866i | −0.472720 | − | 0.343451i | ||||
\(394\) | −10.8000 | + | 11.9946i | −0.544096 | + | 0.604280i | ||||
\(395\) | 11.4084 | − | 19.7599i | 0.574018 | − | 0.994228i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.91993 | + | 6.78952i | 0.196736 | + | 0.340756i | 0.947468 | − | 0.319850i | \(-0.103633\pi\) |
−0.750732 | + | 0.660606i | \(0.770299\pi\) | |||||||
\(398\) | −1.13451 | − | 3.49166i | −0.0568679 | − | 0.175021i | ||||
\(399\) | −7.34045 | + | 1.50526i | −0.367482 | + | 0.0753571i | ||||
\(400\) | −10.0082 | + | 7.27142i | −0.500412 | + | 0.363571i | ||||
\(401\) | 23.9117 | − | 5.08258i | 1.19409 | − | 0.253812i | 0.432358 | − | 0.901702i | \(-0.357682\pi\) |
0.761734 | + | 0.647890i | \(0.224348\pi\) | |||||||
\(402\) | 8.25418 | + | 9.16719i | 0.411681 | + | 0.457218i | ||||
\(403\) | 4.37545 | + | 41.6297i | 0.217957 | + | 2.07372i | ||||
\(404\) | −0.304134 | + | 2.89364i | −0.0151312 | + | 0.143964i | ||||
\(405\) | 11.6225 | + | 35.7703i | 0.577525 | + | 1.77744i | ||||
\(406\) | 5.22581 | + | 1.15006i | 0.259353 | + | 0.0570764i | ||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −3.71172 | − | 6.42889i | −0.183758 | − | 0.318278i | ||||
\(409\) | −2.30229 | − | 0.489368i | −0.113841 | − | 0.0241977i | 0.150639 | − | 0.988589i | \(-0.451867\pi\) |
−0.264480 | + | 0.964391i | \(0.585200\pi\) | |||||||
\(410\) | 2.75251 | − | 1.22550i | 0.135937 | − | 0.0605229i | ||||
\(411\) | −12.9681 | − | 5.77376i | −0.639668 | − | 0.284799i | ||||
\(412\) | 1.53577 | − | 4.72662i | 0.0756620 | − | 0.232864i | ||||
\(413\) | −23.4195 | − | 0.168157i | −1.15240 | − | 0.00827448i | ||||
\(414\) | 1.16620 | − | 0.847292i | 0.0573155 | − | 0.0416421i | ||||
\(415\) | −0.0626113 | + | 0.595707i | −0.00307347 | + | 0.0292421i | ||||
\(416\) | 33.1755 | + | 7.05166i | 1.62656 | + | 0.345736i | ||||
\(417\) | −10.3494 | + | 17.9257i | −0.506813 | + | 0.877827i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 9.29081 | 0.453886 | 0.226943 | − | 0.973908i | \(-0.427127\pi\) | ||||
0.226943 | + | 0.973908i | \(0.427127\pi\) | |||||||
\(420\) | 23.0359 | − | 16.4851i | 1.12404 | − | 0.804392i | ||||
\(421\) | 31.5775 | + | 22.9424i | 1.53899 | + | 1.11814i | 0.950964 | + | 0.309301i | \(0.100095\pi\) |
0.588026 | + | 0.808842i | \(0.299905\pi\) | |||||||
\(422\) | 7.25813 | + | 3.23153i | 0.353320 | + | 0.157308i | ||||
\(423\) | −0.727861 | − | 0.808371i | −0.0353898 | − | 0.0393044i | ||||
\(424\) | 14.4658 | + | 16.0659i | 0.702521 | + | 0.780228i | ||||
\(425\) | 11.7087 | + | 5.21304i | 0.567955 | + | 0.252870i | ||||
\(426\) | −8.75503 | − | 6.36090i | −0.424183 | − | 0.308187i | ||||
\(427\) | 1.72289 | + | 17.6074i | 0.0833764 | + | 0.852082i | ||||
\(428\) | −7.47843 | −0.361484 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.87352 | − | 3.24503i | 0.0903491 | − | 0.156489i | ||||
\(431\) | −3.71894 | − | 0.790485i | −0.179135 | − | 0.0380763i | 0.117471 | − | 0.993076i | \(-0.462521\pi\) |
−0.296606 | + | 0.955000i | \(0.595855\pi\) | |||||||
\(432\) | 0.748967 | − | 7.12594i | 0.0360347 | − | 0.342847i | ||||
\(433\) | −6.65045 | + | 4.83184i | −0.319600 | + | 0.232203i | −0.736005 | − | 0.676976i | \(-0.763290\pi\) |
0.416405 | + | 0.909179i | \(0.363290\pi\) | |||||||
\(434\) | 6.07330 | + | 10.6959i | 0.291528 | + | 0.513419i | ||||
\(435\) | 6.49547 | − | 19.9910i | 0.311434 | − | 0.958495i | ||||
\(436\) | −21.3292 | − | 9.49639i | −1.02149 | − | 0.454795i | ||||
\(437\) | −4.52370 | + | 2.01408i | −0.216398 | + | 0.0963466i | ||||
\(438\) | −5.60187 | − | 1.19071i | −0.267667 | − | 0.0568945i | ||||
\(439\) | 2.27068 | + | 3.93293i | 0.108374 | + | 0.187708i | 0.915112 | − | 0.403201i | \(-0.132102\pi\) |
−0.806738 | + | 0.590909i | \(0.798769\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.75693 | + | 2.64799i | −0.178901 | + | 0.126095i | ||||
\(442\) | −1.98733 | − | 6.11639i | −0.0945279 | − | 0.290927i | ||||
\(443\) | −1.43668 | + | 13.6691i | −0.0682587 | + | 0.649438i | 0.905887 | + | 0.423519i | \(0.139205\pi\) |
−0.974146 | + | 0.225919i | \(0.927461\pi\) | |||||||
\(444\) | −1.41465 | − | 13.4595i | −0.0671364 | − | 0.638760i | ||||
\(445\) | 6.13448 | + | 6.81303i | 0.290802 | + | 0.322969i | ||||
\(446\) | 10.0364 | − | 2.13331i | 0.475240 | − | 0.101015i | ||||
\(447\) | −1.54703 | + | 1.12398i | −0.0731718 | + | 0.0531624i | ||||
\(448\) | 1.47435 | − | 0.302336i | 0.0696567 | − | 0.0142840i | ||||
\(449\) | 6.66432 | + | 20.5107i | 0.314509 | + | 0.967959i | 0.975956 | + | 0.217967i | \(0.0699425\pi\) |
−0.661447 | + | 0.749992i | \(0.730057\pi\) | |||||||
\(450\) | 1.66784 | + | 2.88878i | 0.0786226 | + | 0.136178i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 9.76078 | − | 16.9062i | 0.459109 | − | 0.795199i | ||||
\(453\) | −21.0143 | + | 23.3388i | −0.987338 | + | 1.09655i | ||||
\(454\) | 8.32348 | + | 6.04737i | 0.390640 | + | 0.283817i | ||||
\(455\) | 51.1604 | − | 22.3393i | 2.39844 | − | 1.04728i | ||||
\(456\) | −2.05089 | + | 6.31200i | −0.0960419 | + | 0.295587i | ||||
\(457\) | −3.23330 | + | 0.687260i | −0.151248 | + | 0.0321487i | −0.282913 | − | 0.959146i | \(-0.591301\pi\) |
0.131666 | + | 0.991294i | \(0.457967\pi\) | |||||||
\(458\) | −0.382402 | − | 3.63832i | −0.0178685 | − | 0.170007i | ||||
\(459\) | −6.78166 | + | 3.01939i | −0.316541 | + | 0.140933i | ||||
\(460\) | 12.5258 | − | 13.9113i | 0.584019 | − | 0.648619i | ||||
\(461\) | 32.1524 | 1.49749 | 0.748744 | − | 0.662859i | \(-0.230657\pi\) | ||||
0.748744 | + | 0.662859i | \(0.230657\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.82181 | 0.270563 | 0.135281 | − | 0.990807i | \(-0.456806\pi\) | ||||
0.135281 | + | 0.990807i | \(0.456806\pi\) | |||||||
\(464\) | −3.29546 | + | 3.65998i | −0.152988 | + | 0.169910i | ||||
\(465\) | 44.1403 | − | 19.6525i | 2.04696 | − | 0.911365i | ||||
\(466\) | 1.32298 | + | 12.5873i | 0.0612857 | + | 0.583095i | ||||
\(467\) | 5.88329 | − | 1.25053i | 0.272246 | − | 0.0578678i | −0.0697654 | − | 0.997563i | \(-0.522225\pi\) |
0.342012 | + | 0.939696i | \(0.388892\pi\) | |||||||
\(468\) | −1.88204 | + | 5.79233i | −0.0869974 | + | 0.267751i | ||||
\(469\) | −20.9186 | − | 15.4289i | −0.965931 | − | 0.712442i | ||||
\(470\) | 3.14068 | + | 2.28184i | 0.144869 | + | 0.105253i | ||||
\(471\) | −14.6518 | + | 16.2725i | −0.675121 | + | 0.749798i | ||||
\(472\) | −10.3717 | + | 17.9644i | −0.477398 | + | 0.826878i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 4.01375 | + | 6.95201i | 0.184357 | + | 0.319317i | ||||
\(475\) | −3.54092 | − | 10.8978i | −0.162468 | − | 0.500026i | ||||
\(476\) | 4.56432 | + | 5.14297i | 0.209205 | + | 0.235728i | ||||
\(477\) | −4.90073 | + | 3.56059i | −0.224389 | + | 0.163028i | ||||
\(478\) | 14.2311 | − | 3.02492i | 0.650917 | − | 0.138357i | ||||
\(479\) | −11.4656 | − | 12.7338i | −0.523876 | − | 0.581823i | 0.421900 | − | 0.906642i | \(-0.361363\pi\) |
−0.945776 | + | 0.324819i | \(0.894697\pi\) | |||||||
\(480\) | −4.09227 | − | 38.9353i | −0.186786 | − | 1.77715i | ||||
\(481\) | 2.78792 | − | 26.5252i | 0.127118 | − | 1.20945i | ||||
\(482\) | −4.03265 | − | 12.4112i | −0.183682 | − | 0.565316i | ||||
\(483\) | −11.4084 | + | 12.4888i | −0.519099 | + | 0.568259i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 17.3744 | + | 30.0933i | 0.788930 | + | 1.36647i | ||||
\(486\) | −4.30913 | − | 0.915933i | −0.195466 | − | 0.0415476i | ||||
\(487\) | 5.22023 | − | 2.32420i | 0.236551 | − | 0.105319i | −0.285038 | − | 0.958516i | \(-0.592006\pi\) |
0.521589 | + | 0.853197i | \(0.325339\pi\) | |||||||
\(488\) | 14.3149 | + | 6.37341i | 0.648005 | + | 0.288511i | ||||
\(489\) | −5.28258 | + | 16.2581i | −0.238887 | + | 0.735218i | ||||
\(490\) | 11.1501 | − | 12.0314i | 0.503710 | − | 0.543524i | ||||
\(491\) | 19.4709 | − | 14.1464i | 0.878708 | − | 0.638418i | −0.0542017 | − | 0.998530i | \(-0.517261\pi\) |
0.932909 | + | 0.360112i | \(0.117261\pi\) | |||||||
\(492\) | 0.403192 | − | 3.83611i | 0.0181773 | − | 0.172945i | ||||
\(493\) | 4.99100 | + | 1.06087i | 0.224783 | + | 0.0477792i | ||||
\(494\) | −2.87484 | + | 4.97937i | −0.129345 | + | 0.224032i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −11.3209 | −0.508325 | ||||||||
\(497\) | 20.7646 | + | 9.42421i | 0.931419 | + | 0.422733i | ||||
\(498\) | −0.170491 | − | 0.123869i | −0.00763990 | − | 0.00555071i | ||||
\(499\) | 9.85648 | + | 4.38839i | 0.441237 | + | 0.196451i | 0.615316 | − | 0.788280i | \(-0.289028\pi\) |
−0.174080 | + | 0.984732i | \(0.555695\pi\) | |||||||
\(500\) | 10.2529 | + | 11.3870i | 0.458523 | + | 0.509241i | ||||
\(501\) | 23.3102 | + | 25.8886i | 1.04142 | + | 1.15662i | ||||
\(502\) | −13.2613 | − | 5.90430i | −0.591880 | − | 0.263522i | ||||
\(503\) | 22.6623 | + | 16.4651i | 1.01046 | + | 0.734142i | 0.964305 | − | 0.264792i | \(-0.0853034\pi\) |
0.0461544 | + | 0.998934i | \(0.485303\pi\) | |||||||
\(504\) | 0.396459 | + | 4.05170i | 0.0176597 | + | 0.180477i | ||||
\(505\) | 6.61878 | 0.294532 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −20.9910 | + | 36.3574i | −0.932242 | + | 1.61469i | ||||
\(508\) | 10.1610 | + | 2.15979i | 0.450822 | + | 0.0958252i | ||||
\(509\) | 0.200159 | − | 1.90438i | 0.00887189 | − | 0.0844104i | −0.989190 | − | 0.146639i | \(-0.953154\pi\) |
0.998062 | + | 0.0622291i | \(0.0198209\pi\) | |||||||
\(510\) | −6.00569 | + | 4.36339i | −0.265937 | + | 0.193214i | ||||
\(511\) | 12.0673 | + | 0.0866465i | 0.533828 | + | 0.00383301i | ||||
\(512\) | −5.15038 | + | 15.8512i | −0.227617 | + | 0.700532i | ||||
\(513\) | 6.06305 | + | 2.69944i | 0.267690 | + | 0.119183i | ||||
\(514\) | −17.4675 | + | 7.77703i | −0.770458 | + | 0.343030i | ||||
\(515\) | −11.0585 | − | 2.35055i | −0.487295 | − | 0.103578i | ||||
\(516\) | −2.39848 | − | 4.15429i | −0.105587 | − | 0.182883i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −2.36823 | − | 7.47075i | −0.104054 | − | 0.328246i | ||||
\(519\) | −11.5589 | − | 35.5746i | −0.507380 | − | 1.56155i | ||||
\(520\) | 5.16841 | − | 49.1741i | 0.226650 | − | 2.15643i | ||||
\(521\) | −0.165071 | − | 1.57055i | −0.00723190 | − | 0.0688069i | 0.990311 | − | 0.138869i | \(-0.0443468\pi\) |
−0.997543 | + | 0.0700624i | \(0.977680\pi\) | |||||||
\(522\) | 0.888587 | + | 0.986876i | 0.0388924 | + | 0.0431944i | ||||
\(523\) | −8.77385 | + | 1.86494i | −0.383654 | + | 0.0815481i | −0.395701 | − | 0.918379i | \(-0.629498\pi\) |
0.0120475 | + | 0.999927i | \(0.496165\pi\) | |||||||
\(524\) | 7.68850 | − | 5.58603i | 0.335874 | − | 0.244027i | ||||
\(525\) | −25.9816 | − | 29.2755i | −1.13393 | − | 1.27769i | ||||
\(526\) | −3.14577 | − | 9.68168i | −0.137162 | − | 0.422141i | ||||
\(527\) | 5.86449 | + | 10.1576i | 0.255461 | + | 0.442472i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.91091 | − | 10.2380i | 0.256996 | − | 0.445130i | ||||
\(530\) | 14.4658 | − | 16.0659i | 0.628354 | − | 0.697857i | ||||
\(531\) | −4.70231 | − | 3.41643i | −0.204063 | − | 0.148260i | ||||
\(532\) | 0.686486 | − | 6.10919i | 0.0297629 | − | 0.264867i | ||||
\(533\) | 2.34903 | − | 7.22958i | 0.101748 | − | 0.313148i | ||||
\(534\) | −3.15499 | + | 0.670613i | −0.136530 | + | 0.0290203i | ||||
\(535\) | 1.77825 | + | 16.9189i | 0.0768803 | + | 0.731467i | ||||
\(536\) | −21.0320 | + | 9.36407i | −0.908446 | + | 0.404466i | ||||
\(537\) | 4.15580 | − | 4.61548i | 0.179336 | − | 0.199173i | ||||
\(538\) | −1.12055 | −0.0483105 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −25.0895 | −1.07968 | ||||||||
\(541\) | −12.1129 | + | 13.4528i | −0.520776 | + | 0.578380i | −0.944956 | − | 0.327198i | \(-0.893896\pi\) |
0.424180 | + | 0.905578i | \(0.360562\pi\) | |||||||
\(542\) | −12.3140 | + | 5.48254i | −0.528931 | + | 0.235495i | ||||
\(543\) | 2.06693 | + | 19.6655i | 0.0887005 | + | 0.843929i | ||||
\(544\) | 9.29584 | − | 1.97589i | 0.398556 | − | 0.0847157i | ||||
\(545\) | −16.4125 | + | 50.5125i | −0.703034 | + | 2.16372i | ||||
\(546\) | −2.19320 | + | 19.5178i | −0.0938601 | + | 0.835283i | ||||
\(547\) | 18.3554 | + | 13.3360i | 0.784819 | + | 0.570205i | 0.906422 | − | 0.422374i | \(-0.138803\pi\) |
−0.121602 | + | 0.992579i | \(0.538803\pi\) | |||||||
\(548\) | 7.79288 | − | 8.65487i | 0.332895 | − | 0.369718i | ||||
\(549\) | −2.19533 | + | 3.80243i | −0.0936945 | + | 0.162284i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −2.28091 | − | 3.95065i | −0.0971701 | − | 0.168304i | ||||
\(552\) | 4.62968 | + | 14.2487i | 0.197052 | + | 0.606464i | ||||
\(553\) | −11.2279 | − | 12.6513i | −0.477457 | − | 0.537989i | ||||
\(554\) | 14.1628 | − | 10.2899i | 0.601719 | − | 0.437174i | ||||
\(555\) | −30.1139 | + | 6.40090i | −1.27826 | + | 0.271703i | ||||
\(556\) | −11.3631 | − | 12.6200i | −0.481905 | − | 0.535209i | ||||
\(557\) | 4.00924 | + | 38.1454i | 0.169877 | + | 1.61627i | 0.664586 | + | 0.747212i | \(0.268608\pi\) |
−0.494709 | + | 0.869059i | \(0.664725\pi\) | |||||||
\(558\) | −0.319081 | + | 3.03585i | −0.0135078 | + | 0.128518i | ||||
\(559\) | −2.92132 | − | 8.99089i | −0.123559 | − | 0.380274i | ||||
\(560\) | 4.56235 | + | 14.3923i | 0.192795 | + | 0.608185i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.16904 | − | 8.95305i | −0.218043 | − | 0.377662i | ||||
\(563\) | −40.8610 | − | 8.68527i | −1.72209 | − | 0.366041i | −0.762398 | − | 0.647109i | \(-0.775978\pi\) |
−0.959688 | + | 0.281068i | \(0.909311\pi\) | |||||||
\(564\) | 4.54019 | − | 2.02142i | 0.191177 | − | 0.0851173i | ||||
\(565\) | −40.5688 | − | 18.0624i | −1.70674 | − | 0.759890i | ||||
\(566\) | −3.26066 | + | 10.0353i | −0.137056 | + | 0.421814i | ||||
\(567\) | 27.8821 | + | 0.200200i | 1.17094 | + | 0.00840762i | ||||
\(568\) | 16.3398 | − | 11.8715i | 0.685602 | − | 0.498119i | ||||
\(569\) | −1.24075 | + | 11.8050i | −0.0520151 | + | 0.494890i | 0.937239 | + | 0.348687i | \(0.113372\pi\) |
−0.989254 | + | 0.146204i | \(0.953294\pi\) | |||||||
\(570\) | 6.49180 | + | 1.37987i | 0.271912 | + | 0.0577966i | ||||
\(571\) | 9.90067 | − | 17.1485i | 0.414330 | − | 0.717641i | −0.581028 | − | 0.813884i | \(-0.697349\pi\) |
0.995358 | + | 0.0962427i | \(0.0306825\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 19.1652 | 0.800637 | ||||||||
\(574\) | −0.217526 | − | 2.22305i | −0.00907936 | − | 0.0927884i | ||||
\(575\) | −20.9266 | − | 15.2041i | −0.872699 | − | 0.634053i | ||||
\(576\) | 0.341226 | + | 0.151924i | 0.0142177 | + | 0.00633015i | ||||
\(577\) | 19.1900 | + | 21.3127i | 0.798892 | + | 0.887259i | 0.995648 | − | 0.0931934i | \(-0.0297075\pi\) |
−0.196756 | + | 0.980452i | \(0.563041\pi\) | |||||||
\(578\) | 6.26341 | + | 6.95622i | 0.260524 | + | 0.289341i | ||||
\(579\) | −44.2410 | − | 19.6974i | −1.83859 | − | 0.818595i | ||||
\(580\) | 13.9517 | + | 10.1365i | 0.579313 | + | 0.420896i | ||||
\(581\) | 0.404359 | + | 0.183522i | 0.0167757 | + | 0.00761380i | ||||
\(582\) | −12.2255 | −0.506762 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 5.34425 | − | 9.25651i | 0.221147 | − | 0.383037i | ||||
\(585\) | 13.5518 | + | 2.88053i | 0.560300 | + | 0.119095i | ||||
\(586\) | −1.05257 | + | 10.0146i | −0.0434814 | + | 0.413697i | ||||
\(587\) | −0.818795 | + | 0.594889i | −0.0337953 | + | 0.0245537i | −0.604555 | − | 0.796564i | \(-0.706649\pi\) |
0.570759 | + | 0.821117i | \(0.306649\pi\) | |||||||
\(588\) | −6.20189 | − | 20.0633i | −0.255762 | − | 0.827397i | ||||
\(589\) | 3.24039 | − | 9.97291i | 0.133518 | − | 0.410927i | ||||
\(590\) | 18.9501 | + | 8.43713i | 0.780164 | + | 0.347351i | ||||
\(591\) | 42.9406 | − | 19.1184i | 1.76634 | − | 0.786426i | ||||
\(592\) | 7.05575 | + | 1.49975i | 0.289990 | + | 0.0616392i | ||||
\(593\) | 7.11659 | + | 12.3263i | 0.292243 | + | 0.506180i | 0.974340 | − | 0.225082i | \(-0.0722650\pi\) |
−0.682097 | + | 0.731262i | \(0.738932\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 10.5499 | − | 11.5490i | 0.432505 | − | 0.473464i | ||||
\(596\) | −0.484801 | − | 1.49206i | −0.0198582 | − | 0.0611173i | ||||
\(597\) | −1.11760 | + | 10.6332i | −0.0457403 | + | 0.435190i | ||||
\(598\) | 1.35671 | + | 12.9082i | 0.0554799 | + | 0.527856i | ||||
\(599\) | −17.7626 | − | 19.7273i | −0.725759 | − | 0.806037i | 0.261493 | − | 0.965205i | \(-0.415785\pi\) |
−0.987251 | + | 0.159169i | \(0.949119\pi\) | |||||||
\(600\) | −33.9111 | + | 7.20803i | −1.38442 | + | 0.294267i | ||||
\(601\) | −9.83421 | + | 7.14497i | −0.401146 | + | 0.291449i | −0.770008 | − | 0.638035i | \(-0.779748\pi\) |
0.368862 | + | 0.929484i | \(0.379748\pi\) | |||||||
\(602\) | −1.84387 | − | 2.07764i | −0.0751507 | − | 0.0846782i | ||||
\(603\) | −1.99345 | − | 6.13521i | −0.0811796 | − | 0.249845i | ||||
\(604\) | −12.8830 | − | 22.3139i | −0.524200 | − | 0.907941i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −1.16432 | + | 2.01667i | −0.0472974 | + | 0.0819216i | ||||
\(607\) | −9.34589 | + | 10.3797i | −0.379338 | + | 0.421298i | −0.902334 | − | 0.431038i | \(-0.858148\pi\) |
0.522996 | + | 0.852335i | \(0.324814\pi\) | |||||||
\(608\) | −6.87380 | − | 4.99411i | −0.278769 | − | 0.202538i | ||||
\(609\) | −12.5408 | − | 9.24970i | −0.508177 | − | 0.374817i | ||||
\(610\) | 4.84218 | − | 14.9027i | 0.196054 | − | 0.603392i | ||||
\(611\) | 9.58029 | − | 2.03635i | 0.387577 | − | 0.0823820i | ||||
\(612\) | 0.178383 | + | 1.69720i | 0.00721070 | + | 0.0686053i | ||||
\(613\) | −4.24058 | + | 1.88803i | −0.171275 | + | 0.0762567i | −0.490583 | − | 0.871394i | \(-0.663216\pi\) |
0.319308 | + | 0.947651i | \(0.396550\pi\) | |||||||
\(614\) | −7.23666 | + | 8.03712i | −0.292048 | + | 0.324352i | ||||
\(615\) | −8.77453 | −0.353823 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −26.3960 | −1.06266 | −0.531331 | − | 0.847165i | \(-0.678308\pi\) | ||||
−0.531331 | + | 0.847165i | \(0.678308\pi\) | |||||||
\(618\) | 2.66151 | − | 2.95591i | 0.107062 | − | 0.118904i | ||||
\(619\) | 13.4122 | − | 5.97149i | 0.539081 | − | 0.240014i | −0.119089 | − | 0.992884i | \(-0.537997\pi\) |
0.658170 | + | 0.752869i | \(0.271331\pi\) | |||||||
\(620\) | 4.14364 | + | 39.4241i | 0.166412 | + | 1.58331i | ||||
\(621\) | 14.6546 | − | 3.11492i | 0.588067 | − | 0.124998i | ||||
\(622\) | −4.38870 | + | 13.5070i | −0.175971 | + | 0.541582i | ||||
\(623\) | 6.22863 | − | 2.71975i | 0.249545 | − | 0.108964i | ||||
\(624\) | −14.6249 | − | 10.6256i | −0.585466 | − | 0.425366i | ||||
\(625\) | −2.56083 | + | 2.84409i | −0.102433 | + | 0.113764i | ||||
\(626\) | 5.38043 | − | 9.31918i | 0.215045 | − | 0.372469i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −8.98240 | − | 15.5580i | −0.358437 | − | 0.620831i | ||||
\(629\) | −2.30940 | − | 7.10760i | −0.0920818 | − | 0.283399i | ||||
\(630\) | 3.98806 | − | 0.817805i | 0.158888 | − | 0.0325821i | ||||
\(631\) | 24.3917 | − | 17.7216i | 0.971018 | − | 0.705486i | 0.0153345 | − | 0.999882i | \(-0.495119\pi\) |
0.955683 | + | 0.294397i | \(0.0951187\pi\) | |||||||
\(632\) | −14.6546 | + | 3.11492i | −0.582927 | + | 0.123905i | ||||
\(633\) | −15.4821 | − | 17.1947i | −0.615360 | − | 0.683426i | ||||
\(634\) | 0.306203 | + | 2.91333i | 0.0121609 | + | 0.115703i | ||||
\(635\) | 2.47010 | − | 23.5014i | 0.0980228 | − | 0.932625i | ||||
\(636\) | −8.55248 | − | 26.3218i | −0.339128 | − | 1.04373i | ||||
\(637\) | −3.73450 | − | 41.2168i | −0.147966 | − | 1.63307i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 2.82963 | + | 4.90107i | 0.111939 | + | 0.193883i | ||||
\(640\) | 38.7481 | + | 8.23616i | 1.53165 | + | 0.325563i | ||||
\(641\) | −14.7795 | + | 6.58026i | −0.583756 | + | 0.259905i | −0.677296 | − | 0.735711i | \(-0.736848\pi\) |
0.0935403 | + | 0.995615i | \(0.470182\pi\) | |||||||
\(642\) | −5.46782 | − | 2.43443i | −0.215797 | − | 0.0960792i | ||||
\(643\) | −0.721764 | + | 2.22136i | −0.0284636 | + | 0.0876019i | −0.964279 | − | 0.264888i | \(-0.914665\pi\) |
0.935816 | + | 0.352490i | \(0.114665\pi\) | |||||||
\(644\) | −6.85235 | − | 12.0679i | −0.270021 | − | 0.475542i | ||||
\(645\) | −8.82818 | + | 6.41405i | −0.347609 | + | 0.252553i | ||||
\(646\) | −0.168403 | + | 1.60225i | −0.00662573 | + | 0.0630396i | ||||
\(647\) | −14.6352 | − | 3.11081i | −0.575369 | − | 0.122298i | −0.0889685 | − | 0.996034i | \(-0.528357\pi\) |
−0.486400 | + | 0.873736i | \(0.661690\pi\) | |||||||
\(648\) | 12.3481 | − | 21.3875i | 0.485079 | − | 0.840182i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −30.0345 | −1.17805 | ||||||||
\(651\) | −3.48834 | − | 35.6498i | −0.136719 | − | 1.39723i | ||||
\(652\) | −11.3465 | − | 8.24374i | −0.444364 | − | 0.322850i | ||||
\(653\) | −20.9109 | − | 9.31012i | −0.818305 | − | 0.364333i | −0.0454907 | − | 0.998965i | \(-0.514485\pi\) |
−0.772815 | + | 0.634632i | \(0.781152\pi\) | |||||||
\(654\) | −12.5034 | − | 13.8865i | −0.488923 | − | 0.543004i | ||||
\(655\) | −14.4658 | − | 16.0659i | −0.565225 | − | 0.627746i | ||||
\(656\) | 1.87815 | + | 0.836208i | 0.0733296 | + | 0.0326484i | ||||
\(657\) | 2.42296 | + | 1.76038i | 0.0945286 | + | 0.0686791i | ||||
\(658\) | 2.34041 | − | 1.67487i | 0.0912388 | − | 0.0652931i | ||||
\(659\) | 2.20568 | 0.0859211 | 0.0429606 | − | 0.999077i | \(-0.486321\pi\) | ||||
0.0429606 | + | 0.999077i | \(0.486321\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.341188 | − | 0.590956i | 0.0132707 | − | 0.0229855i | −0.859314 | − | 0.511449i | \(-0.829109\pi\) |
0.872584 | + | 0.488463i | \(0.162442\pi\) | |||||||
\(662\) | 12.2286 | + | 2.59927i | 0.475277 | + | 0.101023i | ||||
\(663\) | −1.95771 | + | 18.6264i | −0.0760312 | + | 0.723389i | ||||
\(664\) | 0.318193 | − | 0.231181i | 0.0123483 | − | 0.00897155i | ||||
\(665\) | −13.9844 | − | 0.100411i | −0.542292 | − | 0.00389379i | ||||
\(666\) | 0.601042 | − | 1.84982i | 0.0232899 | − | 0.0716790i | ||||
\(667\) | −9.40754 | − | 4.18851i | −0.364261 | − | 0.162180i | ||||
\(668\) | −26.1100 | + | 11.6249i | −1.01023 | + | 0.449781i | ||||
\(669\) | −29.2284 | − | 6.21270i | −1.13004 | − | 0.240197i | ||||
\(670\) | 11.5112 | + | 19.9380i | 0.444717 | + | 0.770273i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −28.3452 | − | 6.23801i | −1.09344 | − | 0.240637i | ||||
\(673\) | 3.36411 | + | 10.3537i | 0.129677 | + | 0.399104i | 0.994724 | − | 0.102586i | \(-0.0327118\pi\) |
−0.865047 | + | 0.501690i | \(0.832712\pi\) | |||||||
\(674\) | −1.85417 | + | 17.6413i | −0.0714200 | + | 0.679516i | ||||
\(675\) | 3.62387 | + | 34.4788i | 0.139483 | + | 1.32709i | ||||
\(676\) | −23.0470 | − | 25.5963i | −0.886424 | − | 0.984474i | ||||
\(677\) | 44.6675 | − | 9.49437i | 1.71671 | − | 0.364898i | 0.758658 | − | 0.651489i | \(-0.225855\pi\) |
0.958053 | + | 0.286591i | \(0.0925221\pi\) | |||||||
\(678\) | 12.6399 | − | 9.18346i | 0.485434 | − | 0.352689i | ||||
\(679\) | 25.2357 | − | 5.17492i | 0.968458 | − | 0.198595i | ||||
\(680\) | −4.28131 | − | 13.1765i | −0.164181 | − | 0.505296i | ||||
\(681\) | −14.9811 | − | 25.9480i | −0.574076 | − | 0.994329i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −3.24186 | + | 5.61507i | −0.124046 | + | 0.214855i | −0.921360 | − | 0.388711i | \(-0.872921\pi\) |
0.797313 | + | 0.603566i | \(0.206254\pi\) | |||||||
\(684\) | 1.02090 | − | 1.13383i | 0.0390352 | − | 0.0433530i | ||||
\(685\) | −21.4334 | − | 15.5723i | −0.818929 | − | 0.594987i | ||||
\(686\) | −5.85214 | − | 10.6601i | −0.223436 | − | 0.407003i | ||||
\(687\) | −3.29226 | + | 10.1325i | −0.125608 | + | 0.386580i | ||||
\(688\) | 2.50089 | − | 0.531581i | 0.0953456 | − | 0.0202663i | ||||
\(689\) | −5.70131 | − | 54.2443i | −0.217202 | − | 2.06654i | ||||
\(690\) | 13.6867 | − | 6.09371i | 0.521043 | − | 0.231983i | ||||
\(691\) | 7.32481 | − | 8.13502i | 0.278649 | − | 0.309471i | −0.587533 | − | 0.809200i | \(-0.699901\pi\) |
0.866181 | + | 0.499730i | \(0.166567\pi\) | |||||||
\(692\) | 30.6885 | 1.16660 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −13.2754 | −0.503927 | ||||||||
\(695\) | −25.8491 | + | 28.7083i | −0.980512 | + | 1.08897i | ||||
\(696\) | −12.6088 | + | 5.61379i | −0.477934 | + | 0.212790i | ||||
\(697\) | −0.222645 | − | 2.11833i | −0.00843329 | − | 0.0802374i | ||||
\(698\) | 7.72167 | − | 1.64129i | 0.292270 | − | 0.0621238i | ||||
\(699\) | 11.3901 | − | 35.0550i | 0.430811 | − | 1.32590i | ||||
\(700\) | 29.4300 | − | 12.8507i | 1.11235 | − | 0.485710i | ||||
\(701\) | −0.740149 | − | 0.537750i | −0.0279550 | − | 0.0203105i | 0.573720 | − | 0.819052i | \(-0.305500\pi\) |
−0.601675 | + | 0.798741i | \(0.705500\pi\) | |||||||
\(702\) | 11.6402 | − | 12.9277i | 0.439330 | − | 0.487925i | ||||
\(703\) | −3.34073 | + | 5.78632i | −0.125998 | + | 0.218235i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −5.65277 | − | 9.79088i | −0.212896 | − | 0.368746i | ||||
\(706\) | 2.18310 | + | 6.71889i | 0.0821620 | + | 0.252869i | ||||
\(707\) | 1.54975 | − | 4.65564i | 0.0582845 | − | 0.175093i | ||||
\(708\) | 21.4841 | − | 15.6091i | 0.807423 | − | 0.586627i | ||||
\(709\) | −43.3440 | + | 9.21305i | −1.62782 | + | 0.346003i | −0.929225 | − | 0.369515i | \(-0.879524\pi\) |
−0.698594 | + | 0.715519i | \(0.746190\pi\) | |||||||
\(710\) | −13.5145 | − | 15.0093i | −0.507189 | − | 0.563291i | ||||
\(711\) | −0.438808 | − | 4.17498i | −0.0164566 | − | 0.156574i | ||||
\(712\) | 0.629239 | − | 5.98681i | 0.0235817 | − | 0.224365i | ||||
\(713\) | −7.31485 | − | 22.5128i | −0.273943 | − | 0.843111i | ||||
\(714\) | 1.66300 | + | 5.24606i | 0.0622363 | + | 0.196329i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 2.54774 | + | 4.41281i | 0.0952134 | + | 0.164914i | ||||
\(717\) | −41.4443 | − | 8.80926i | −1.54777 | − | 0.328988i | ||||
\(718\) | 14.5705 | − | 6.48720i | 0.543766 | − | 0.242100i | ||||
\(719\) | −4.75259 | − | 2.11599i | −0.177242 | − | 0.0789131i | 0.316197 | − | 0.948693i | \(-0.397594\pi\) |
−0.493439 | + | 0.869780i | \(0.664260\pi\) | |||||||
\(720\) | −1.15790 | + | 3.56364i | −0.0431523 | + | 0.132809i | ||||
\(721\) | −4.24266 | + | 7.22815i | −0.158005 | + | 0.269190i | ||||
\(722\) | −8.92785 | + | 6.48646i | −0.332260 | + | 0.241401i | ||||
\(723\) | −3.97254 | + | 37.7962i | −0.147740 | + | 1.40566i | ||||
\(724\) | −15.8685 | − | 3.37296i | −0.589750 | − | 0.125355i | ||||
\(725\) | 11.9148 | − | 20.6370i | 0.442503 | − | 0.766438i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 50.0871 | 1.85763 | 0.928814 | − | 0.370547i | \(-0.120830\pi\) | ||||
0.928814 | + | 0.370547i | \(0.120830\pi\) | |||||||
\(728\) | −33.3788 | − | 15.1493i | −1.23710 | − | 0.561471i | ||||
\(729\) | −15.1987 | − | 11.0425i | −0.562915 | − | 0.408981i | ||||
\(730\) | −9.76443 | − | 4.34740i | −0.361398 | − | 0.160905i | ||||
\(731\) | −1.77247 | − | 1.96853i | −0.0655572 | − | 0.0728087i | ||||
\(732\) | −13.4229 | − | 14.9077i | −0.496126 | − | 0.551004i | ||||
\(733\) | 43.0003 | + | 19.1450i | 1.58825 | + | 0.707136i | 0.995185 | − | 0.0980161i | \(-0.0312497\pi\) |
0.593068 | + | 0.805152i | \(0.297916\pi\) | |||||||
\(734\) | 5.76065 | + | 4.18536i | 0.212629 | + | 0.154484i | ||||
\(735\) | −43.9157 | + | 18.8016i | −1.61985 | + | 0.693508i | ||||
\(736\) | −19.1799 | −0.706981 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0.277175 | − | 0.480082i | 0.0102030 | − | 0.0176720i | ||||
\(739\) | 45.9645 | + | 9.77006i | 1.69083 | + | 0.359397i | 0.949990 | − | 0.312282i | \(-0.101093\pi\) |
0.740842 | + | 0.671679i | \(0.234427\pi\) | |||||||
\(740\) | 2.64021 | − | 25.1199i | 0.0970559 | − | 0.923425i | ||||
\(741\) | 13.5465 | − | 9.84211i | 0.497643 | − | 0.361559i | ||||
\(742\) | −7.91363 | − | 13.9370i | −0.290518 | − | 0.511642i | ||||
\(743\) | 1.60545 | − | 4.94105i | 0.0588981 | − | 0.181270i | −0.917279 | − | 0.398245i | \(-0.869619\pi\) |
0.976177 | + | 0.216976i | \(0.0696192\pi\) | |||||||
\(744\) | −28.9835 | − | 12.9043i | −1.06258 | − | 0.473093i | ||||
\(745\) | −3.26031 | + | 1.45158i | −0.119448 | + | 0.0531818i | ||||
\(746\) | 21.2105 | + | 4.50843i | 0.776571 | + | 0.165065i | ||||
\(747\) | 0.0551029 | + | 0.0954410i | 0.00201611 | + | 0.00349200i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 12.3171 | + | 2.71066i | 0.450057 | + | 0.0990452i | ||||
\(750\) | 3.78957 | + | 11.6631i | 0.138376 | + | 0.425876i | ||||
\(751\) | −3.49685 | + | 33.2703i | −0.127602 | + | 1.21405i | 0.723977 | + | 0.689824i | \(0.242312\pi\) |
−0.851579 | + | 0.524227i | \(0.824354\pi\) | |||||||
\(752\) | 0.276887 | + | 2.63441i | 0.0100970 | + | 0.0960669i | ||||
\(753\) | 28.2873 | + | 31.4162i | 1.03085 | + | 1.14487i | ||||
\(754\) | −11.6958 | + | 2.48602i | −0.425936 | + | 0.0905355i | ||||
\(755\) | −47.4188 | + | 34.4517i | −1.72575 | + | 1.25383i | ||||
\(756\) | −5.87458 | + | 17.6479i | −0.213656 | + | 0.641849i | ||||
\(757\) | 12.3743 | + | 38.0841i | 0.449750 | + | 1.38419i | 0.877189 | + | 0.480145i | \(0.159416\pi\) |
−0.427439 | + | 0.904044i | \(0.640584\pi\) | |||||||
\(758\) | −7.20051 | − | 12.4716i | −0.261534 | − | 0.452990i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −6.19326 | + | 10.7270i | −0.224653 | + | 0.389110i | ||||
\(761\) | 5.05762 | − | 5.61706i | 0.183339 | − | 0.203618i | −0.644469 | − | 0.764631i | \(-0.722921\pi\) |
0.827807 | + | 0.561012i | \(0.189588\pi\) | |||||||
\(762\) | 6.72610 | + | 4.88680i | 0.243661 | + | 0.177030i | ||||
\(763\) | 31.6875 | + | 23.3718i | 1.14716 | + | 0.846115i | ||||
\(764\) | −4.85889 | + | 14.9541i | −0.175788 | + | 0.541021i | ||||
\(765\) | 3.79726 | − | 0.807132i | 0.137290 | − | 0.0291819i | ||||
\(766\) | 2.50266 | + | 23.8112i | 0.0904247 | + | 0.860334i | ||||
\(767\) | 47.8102 | − | 21.2865i | 1.72633 | − | 0.768610i | ||||
\(768\) | −10.7814 | + | 11.9740i | −0.389042 | + | 0.432075i | ||||
\(769\) | −51.5407 | −1.85860 | −0.929302 | − | 0.369320i | \(-0.879591\pi\) | ||||
−0.929302 | + | 0.369320i | \(0.879591\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 55.6834 | 2.00539 | ||||||||
\(772\) | 26.5856 | − | 29.5264i | 0.956838 | − | 1.06268i | ||||
\(773\) | −14.1286 | + | 6.29046i | −0.508170 | + | 0.226252i | −0.644773 | − | 0.764374i | \(-0.723048\pi\) |
0.136603 | + | 0.990626i | \(0.456382\pi\) | |||||||
\(774\) | −0.0720624 | − | 0.685628i | −0.00259023 | − | 0.0246444i | ||||
\(775\) | 53.5793 | − | 11.3886i | 1.92462 | − | 0.409092i | ||||
\(776\) | 7.05076 | − | 21.7000i | 0.253108 | − | 0.778985i | ||||
\(777\) | −2.54862 | + | 22.6808i | −0.0914313 | + | 0.813668i | ||||
\(778\) | 10.3460 | + | 7.51681i | 0.370922 | + | 0.269491i | ||||
\(779\) | −1.27422 | + | 1.41517i | −0.0456537 | + | 0.0507036i | ||||
\(780\) | −31.6498 | + | 54.8190i | −1.13324 | + | 1.96284i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 1.81842 | + | 3.14959i | 0.0650264 | + | 0.112629i | ||||
\(783\) | 4.26506 | + | 13.1265i | 0.152421 | + | 0.469103i | ||||
\(784\) | 11.1918 | + | 0.160727i | 0.399706 | + | 0.00574027i | ||||
\(785\) | −33.0618 | + | 24.0208i | −1.18003 | + | 0.857340i | ||||
\(786\) | 7.43981 | − | 1.58138i | 0.265369 | − | 0.0564059i | ||||
\(787\) | −14.6886 | − | 16.3134i | −0.523593 | − | 0.581509i | 0.422109 | − | 0.906545i | \(-0.361290\pi\) |
−0.945702 | + | 0.325036i | \(0.894623\pi\) | |||||||
\(788\) | 4.03101 | + | 38.3525i | 0.143599 | + | 1.36625i | ||||
\(789\) | −3.09888 | + | 29.4839i | −0.110323 | + | 1.04965i | ||||
\(790\) | 4.62968 | + | 14.2487i | 0.164716 | + | 0.506945i | ||||
\(791\) | −22.2040 | + | 24.3068i | −0.789484 | + | 0.864250i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −19.7668 | − | 34.2371i | −0.701941 | − | 1.21580i | ||||
\(794\) | −5.03532 | − | 1.07029i | −0.178697 | − | 0.0379832i | ||||
\(795\) | −57.5158 | + | 25.6077i | −2.03987 | + | 0.908210i | ||||
\(796\) | −8.01352 | − | 3.56785i | −0.284032 | − | 0.126459i | ||||
\(797\) | 13.1721 | − | 40.5396i | 0.466580 | − | 1.43598i | −0.390405 | − | 0.920643i | \(-0.627665\pi\) |
0.856985 | − | 0.515341i | \(-0.172335\pi\) | |||||||
\(798\) | 2.49062 | − | 4.24323i | 0.0881671 | − | 0.150209i | ||||
\(799\) | 2.22026 | − | 1.61311i | 0.0785471 | − | 0.0570678i | ||||
\(800\) | 4.63928 | − | 44.1398i | 0.164023 | − | 1.56058i | ||||
\(801\) | 1.64990 | + | 0.350697i | 0.0582963 | + | 0.0123913i | ||||
\(802\) | −8.02583 | + | 13.9011i | −0.283402 | + | 0.490867i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 29.4734 | 1.03945 | ||||||||
\(805\) | −25.6726 | + | 18.3720i | −0.904839 | + | 0.647529i | ||||
\(806\) | −22.2362 | − | 16.1555i | −0.783237 | − | 0.569055i | ||||
\(807\) | 2.98118 | + | 1.32731i | 0.104943 | + | 0.0467235i | ||||
\(808\) | −2.90806 | − | 3.22973i | −0.102305 | − | 0.113621i | ||||
\(809\) | −2.65474 | − | 2.94839i | −0.0933357 | − | 0.103660i | 0.694667 | − | 0.719331i | \(-0.255552\pi\) |
−0.788003 | + | 0.615671i | \(0.788885\pi\) | |||||||
\(810\) | −22.5611 | − | 10.0448i | −0.792716 | − | 0.352940i | ||||
\(811\) | −37.9604 | − | 27.5799i | −1.33297 | − | 0.968460i | −0.999671 | − | 0.0256391i | \(-0.991838\pi\) |
−0.333300 | − | 0.942821i | \(-0.608162\pi\) | |||||||
\(812\) | 10.3967 | − | 7.44020i | 0.364854 | − | 0.261100i | ||||
\(813\) | 39.2549 | 1.37673 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −15.9523 | + | 27.6301i | −0.558783 | + | 0.967841i | ||||
\(816\) | −4.95465 | − | 1.05314i | −0.173447 | − | 0.0368674i | ||||
\(817\) | −0.247547 | + | 2.35525i | −0.00866058 | + | 0.0823999i | ||||
\(818\) | 1.25034 | − | 0.908426i | 0.0437171 | − | 0.0317624i | ||||
\(819\) | 5.19926 | − | 8.85788i | 0.181677 | − | 0.309520i | ||||
\(820\) | 2.22458 | − | 6.84655i | 0.0776856 | − | 0.239092i | ||||
\(821\) | 46.2254 | + | 20.5809i | 1.61328 | + | 0.718278i | 0.997568 | − | 0.0696941i | \(-0.0222023\pi\) |
0.615711 | + | 0.787972i | \(0.288869\pi\) | |||||||
\(822\) | 8.51511 | − | 3.79117i | 0.296998 | − | 0.132232i | ||||
\(823\) | −0.389888 | − | 0.0828733i | −0.0135906 | − | 0.00288878i | 0.201111 | − | 0.979568i | \(-0.435545\pi\) |
−0.214702 | + | 0.976680i | \(0.568878\pi\) | |||||||
\(824\) | 3.71172 | + | 6.42889i | 0.129304 | + | 0.223961i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 10.3717 | − | 11.3540i | 0.360879 | − | 0.395055i | ||||
\(827\) | 6.31119 | + | 19.4239i | 0.219462 | + | 0.675434i | 0.998807 | + | 0.0488385i | \(0.0155520\pi\) |
−0.779345 | + | 0.626595i | \(0.784448\pi\) | |||||||
\(828\) | 0.360011 | − | 3.42528i | 0.0125113 | − | 0.119037i | ||||
\(829\) | 2.43168 | + | 23.1359i | 0.0844557 | + | 0.803542i | 0.951983 | + | 0.306152i | \(0.0990416\pi\) |
−0.867527 | + | 0.497390i | \(0.834292\pi\) | |||||||
\(830\) | −0.263174 | − | 0.292285i | −0.00913492 | − | 0.0101454i | ||||
\(831\) | −49.8679 | + | 10.5997i | −1.72990 | + | 0.367701i | ||||
\(832\) | −2.72086 | + | 1.97682i | −0.0943289 | + | 0.0685339i | ||||
\(833\) | −5.65336 | − | 10.1250i | −0.195877 | − | 0.350809i | ||||
\(834\) | −4.19994 | − | 12.9261i | −0.145432 | − | 0.447594i | ||||
\(835\) | 32.5082 | + | 56.3059i | 1.12499 | + | 1.94855i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −15.8632 | + | 27.4758i | −0.548311 | + | 0.949703i | ||||
\(838\) | −4.08205 | + | 4.53358i | −0.141012 | + | 0.156610i | ||||
\(839\) | 13.3376 | + | 9.69031i | 0.460464 | + | 0.334547i | 0.793713 | − | 0.608292i | \(-0.208145\pi\) |
−0.333249 | + | 0.942839i | \(0.608145\pi\) | |||||||
\(840\) | −4.72479 | + | 42.0470i | −0.163021 | + | 1.45076i | ||||
\(841\) | −6.02991 | + | 18.5581i | −0.207928 | + | 0.639936i | ||||
\(842\) | −25.0691 | + | 5.32860i | −0.863937 | + | 0.183636i | ||||
\(843\) | 3.14703 | + | 29.9420i | 0.108389 | + | 1.03126i | ||||
\(844\) | 17.3417 | − | 7.72102i | 0.596926 | − | 0.265769i | ||||
\(845\) | −52.4278 | + | 58.2270i | −1.80357 | + | 2.00307i | ||||
\(846\) | 0.714253 | 0.0245565 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 14.7514 | 0.506566 | ||||||||
\(849\) | 20.5617 | − | 22.8361i | 0.705676 | − | 0.783732i | ||||
\(850\) | −7.68816 | + | 3.42299i | −0.263702 | + | 0.117408i | ||||
\(851\) | 1.57657 | + | 15.0001i | 0.0540442 | + | 0.514196i | ||||
\(852\) | −25.2913 | + | 5.37583i | −0.866466 | + | 0.184173i | ||||
\(853\) | 4.58318 | − | 14.1056i | 0.156925 | − | 0.482966i | −0.841426 | − | 0.540373i | \(-0.818283\pi\) |
0.998351 | + | 0.0574069i | \(0.0182832\pi\) | |||||||
\(854\) | −9.34876 | − | 6.89537i | −0.319908 | − | 0.235955i | ||||
\(855\) | −2.80788 | − | 2.04004i | −0.0960274 | − | 0.0697680i | ||||
\(856\) | 7.47451 | − | 8.30129i | 0.255474 | − | 0.283732i | ||||
\(857\) | −2.51594 | + | 4.35773i | −0.0859428 | + | 0.148857i | −0.905793 | − | 0.423721i | \(-0.860724\pi\) |
0.819850 | + | 0.572579i | \(0.194057\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 28.0181 | + | 48.5288i | 0.955966 | + | 1.65578i | 0.732141 | + | 0.681153i | \(0.238521\pi\) |
0.223825 | + | 0.974629i | \(0.428146\pi\) | |||||||
\(860\) | −2.76654 | − | 8.51454i | −0.0943383 | − | 0.290343i | ||||
\(861\) | −2.05451 | + | 6.17199i | −0.0700176 | + | 0.210341i | ||||
\(862\) | 2.01970 | − | 1.46740i | 0.0687912 | − | 0.0499798i | ||||
\(863\) | 35.6789 | − | 7.58379i | 1.21452 | − | 0.258155i | 0.444271 | − | 0.895892i | \(-0.353463\pi\) |
0.770254 | + | 0.637737i | \(0.220129\pi\) | |||||||
\(864\) | 17.2010 | + | 19.1037i | 0.585191 | + | 0.649921i | ||||
\(865\) | −7.29721 | − | 69.4284i | −0.248113 | − | 2.36063i | ||||
\(866\) | 0.564212 | − | 5.36812i | 0.0191727 | − | 0.182416i | ||||
\(867\) | −8.42380 | − | 25.9258i | −0.286087 | − | 0.880486i | ||||
\(868\) | 28.7010 | + | 6.31631i | 0.974177 | + | 0.214390i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 6.90101 | + | 11.9529i | 0.233966 | + | 0.405241i | ||||
\(871\) | 56.8152 | + | 12.0764i | 1.92511 | + | 0.409194i | ||||
\(872\) | 31.8593 | − | 14.1847i | 1.07889 | − | 0.480354i | ||||
\(873\) | 5.84058 | + | 2.60039i | 0.197674 | + | 0.0880100i | ||||
\(874\) | 1.00476 | − | 3.09232i | 0.0339864 | − | 0.104599i | ||||
\(875\) | −12.7593 | − | 22.4708i | −0.431343 | − | 0.759652i | ||||
\(876\) | −11.0701 | + | 8.04292i | −0.374025 | + | 0.271745i | ||||
\(877\) | −0.691574 | + | 6.57989i | −0.0233528 | + | 0.222187i | 0.976621 | + | 0.214968i | \(0.0689647\pi\) |
−0.999974 | + | 0.00721927i | \(0.997702\pi\) | |||||||
\(878\) | −2.91678 | − | 0.619982i | −0.0984367 | − | 0.0209234i | ||||
\(879\) | 14.6627 | − | 25.3965i | 0.494559 | − | 0.856602i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −22.5286 | −0.759008 | −0.379504 | − | 0.925190i | \(-0.623905\pi\) | ||||
−0.379504 | + | 0.925190i | \(0.623905\pi\) | |||||||
\(882\) | 0.358541 | − | 2.99668i | 0.0120727 | − | 0.100903i | ||||
\(883\) | 41.3935 | + | 30.0741i | 1.39300 | + | 1.01208i | 0.995528 | + | 0.0944622i | \(0.0301131\pi\) |
0.397474 | + | 0.917613i | \(0.369887\pi\) | |||||||
\(884\) | −14.0374 | − | 6.24984i | −0.472128 | − | 0.210205i | ||||
\(885\) | −40.4220 | − | 44.8932i | −1.35877 | − | 1.50907i | ||||
\(886\) | −6.03880 | − | 6.70677i | −0.202878 | − | 0.225318i | ||||
\(887\) | 5.79013 | + | 2.57793i | 0.194414 | + | 0.0865585i | 0.501634 | − | 0.865080i | \(-0.332732\pi\) |
−0.307221 | + | 0.951638i | \(0.599399\pi\) | |||||||
\(888\) | 16.3544 | + | 11.8822i | 0.548817 | + | 0.398739i | ||||
\(889\) | −15.9525 | − | 7.24020i | −0.535030 | − | 0.242828i | ||||
\(890\) | −6.01979 | −0.201784 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 12.2578 | − | 21.2311i | 0.410421 | − | 0.710871i | ||||
\(893\) | −2.39997 | − | 0.510129i | −0.0803119 | − | 0.0170708i | ||||
\(894\) | 0.131247 | − | 1.24873i | 0.00438955 | − | 0.0417638i | ||||
\(895\) | 9.37755 | − | 6.81319i | 0.313457 | − | 0.227740i | ||||
\(896\) | 14.8660 | − | 25.3269i | 0.496637 | − | 0.846112i | ||||
\(897\) | 11.6804 | − | 35.9487i | 0.389999 | − | 1.20029i | ||||
\(898\) | −12.9365 | − | 5.75972i | −0.431698 | − | 0.192204i | ||||
\(899\) | 19.9218 | − | 8.86974i | 0.664428 | − | 0.295822i | ||||
\(900\) | 7.79570 | + | 1.65703i | 0.259857 | + | 0.0552342i | ||||
\(901\) | −7.64155 | − | 13.2356i | −0.254577 | − | 0.440940i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 2.44456 | + | 7.71155i | 0.0813498 | + | 0.256624i | ||||
\(904\) | 9.01070 | + | 27.7321i | 0.299691 | + | 0.922355i | ||||
\(905\) | −3.85757 | + | 36.7024i | −0.128230 | + | 1.22003i | ||||
\(906\) | −2.15553 | − | 20.5085i | −0.0716125 | − | 0.681348i | ||||
\(907\) | −4.60679 | − | 5.11636i | −0.152966 | − | 0.169886i | 0.661791 | − | 0.749688i | \(-0.269796\pi\) |
−0.814757 | + | 0.579802i | \(0.803130\pi\) | |||||||
\(908\) | 24.0447 | − | 5.11085i | 0.797950 | − | 0.169610i | ||||
\(909\) | 0.985194 | − | 0.715785i | 0.0326768 | − | 0.0237411i | ||||
\(910\) | −11.5773 | + | 34.7795i | −0.383783 | + | 1.15293i | ||||
\(911\) | −12.6950 | − | 39.0711i | −0.420603 | − | 1.29448i | −0.907142 | − | 0.420825i | \(-0.861741\pi\) |
0.486539 | − | 0.873659i | \(-0.338259\pi\) | |||||||
\(912\) | 2.26430 | + | 3.92188i | 0.0749784 | + | 0.129866i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 1.08524 | − | 1.87969i | 0.0358966 | − | 0.0621747i | ||||
\(915\) | −30.5348 | + | 33.9123i | −1.00945 | + | 1.12111i | ||||
\(916\) | −7.07149 | − | 5.13774i | −0.233648 | − | 0.169756i | ||||
\(917\) | −14.6878 | + | 6.41347i | −0.485034 | + | 0.211791i | ||||
\(918\) | 1.50627 | − | 4.63582i | 0.0497143 | − | 0.153005i | ||||
\(919\) | −11.3724 | + | 2.41728i | −0.375141 | + | 0.0797388i | −0.391624 | − | 0.920125i | \(-0.628087\pi\) |
0.0164825 | + | 0.999864i | \(0.494753\pi\) | |||||||
\(920\) | 2.92275 | + | 27.8081i | 0.0963601 | + | 0.916805i | ||||
\(921\) | 28.7729 | − | 12.8105i | 0.948098 | − | 0.422120i | ||||
\(922\) | −14.1266 | + | 15.6892i | −0.465236 | + | 0.516697i | ||||
\(923\) | −50.9562 | −1.67724 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −34.9019 | −1.14757 | ||||||||
\(926\) | −2.55790 | + | 2.84084i | −0.0840578 | + | 0.0933557i | ||||
\(927\) | −1.90024 | + | 0.846040i | −0.0624119 | + | 0.0277876i | ||||
\(928\) | −1.84695 | − | 17.5726i | −0.0606292 | − | 0.576848i | ||||
\(929\) | −24.2256 | + | 5.14931i | −0.794817 | + | 0.168943i | −0.587387 | − | 0.809306i | \(-0.699843\pi\) |
−0.207430 | + | 0.978250i | \(0.566510\pi\) | |||||||
\(930\) | −9.80398 | + | 30.1735i | −0.321485 | + | 0.989429i | ||||
\(931\) | −3.34501 | + | 9.81311i | −0.109628 | + | 0.321612i | ||||
\(932\) | 24.4648 | + | 17.7747i | 0.801372 | + | 0.582231i | ||||
\(933\) | 27.6751 | − | 30.7364i | 0.906043 | − | 1.00626i | ||||
\(934\) | −1.97470 | + | 3.42028i | −0.0646141 | + | 0.111915i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −4.54861 | − | 7.87842i | −0.148676 | − | 0.257514i | ||||
\(937\) | −0.355512 | − | 1.09415i | −0.0116141 | − | 0.0357444i | 0.945082 | − | 0.326835i | \(-0.105982\pi\) |
−0.956696 | + | 0.291090i | \(0.905982\pi\) | |||||||
\(938\) | 16.7197 | − | 3.42859i | 0.545916 | − | 0.111947i | ||||
\(939\) | −25.3530 | + | 18.4201i | −0.827365 | + | 0.601116i | ||||
\(940\) | 9.07271 | − | 1.92846i | 0.295919 | − | 0.0628996i | ||||
\(941\) | −6.76505 | − | 7.51335i | −0.220534 | − | 0.244928i | 0.622718 | − | 0.782447i | \(-0.286029\pi\) |
−0.843252 | + | 0.537518i | \(0.819362\pi\) | |||||||
\(942\) | −1.50290 | − | 14.2991i | −0.0489671 | − | 0.465891i | ||||
\(943\) | −0.449341 | + | 4.27519i | −0.0146326 | + | 0.139219i | ||||
\(944\) | 4.37388 | + | 13.4614i | 0.142358 | + | 0.438132i | ||||
\(945\) | 41.3228 | + | 9.09402i | 1.34423 | + | 0.295828i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 12.2277 | + | 21.1789i | 0.397346 | + | 0.688223i | 0.993398 | − | 0.114723i | \(-0.0365981\pi\) |
−0.596052 | + | 0.802946i | \(0.703265\pi\) | |||||||
\(948\) | 18.7608 | + | 3.98773i | 0.609322 | + | 0.129515i | ||||
\(949\) | −24.6352 | + | 10.9683i | −0.799691 | + | 0.356045i | ||||
\(950\) | 6.87350 | + | 3.06028i | 0.223006 | + | 0.0992885i | ||||
\(951\) | 2.63623 | − | 8.11347i | 0.0854855 | − | 0.263097i | ||||
\(952\) | −10.2708 | − | 0.0737467i | −0.332878 | − | 0.00239014i | ||||
\(953\) | −13.0815 | + | 9.50424i | −0.423750 | + | 0.307872i | −0.779145 | − | 0.626844i | \(-0.784346\pi\) |
0.355395 | + | 0.934716i | \(0.384346\pi\) | |||||||
\(954\) | 0.415769 | − | 3.95578i | 0.0134610 | − | 0.128073i | ||||
\(955\) | 34.9869 | + | 7.43670i | 1.13215 | + | 0.240646i | ||||
\(956\) | 17.3809 | − | 30.1046i | 0.562138 | − | 0.973652i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 11.2512 | 0.363511 | ||||||||
\(959\) | −15.9721 | + | 11.4301i | −0.515765 | + | 0.369096i | ||||
\(960\) | 3.14068 | + | 2.28184i | 0.101365 | + | 0.0736459i | ||||
\(961\) | 17.4737 | + | 7.77979i | 0.563668 | + | 0.250961i | ||||
\(962\) | 11.7185 | + | 13.0147i | 0.377818 | + | 0.419610i | ||||
\(963\) | 2.09438 | + | 2.32604i | 0.0674903 | + | 0.0749556i | ||||
\(964\) | −28.4843 | − | 12.6820i | −0.917417 | − | 0.408460i | ||||
\(965\) | −73.1208 | − | 53.1254i | −2.35384 | − | 1.71017i | ||||
\(966\) | −1.08164 | − | 11.0540i | −0.0348011 | − | 0.355657i | ||||
\(967\) | 1.55941 | 0.0501472 | 0.0250736 | − | 0.999686i | \(-0.492018\pi\) | ||||
0.0250736 | + | 0.999686i | \(0.492018\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.34591 | − | 4.06323i | 0.0753614 | − | 0.130530i | ||||
\(970\) | −22.3182 | − | 4.74387i | −0.716593 | − | 0.152316i | ||||
\(971\) | 0.945699 | − | 8.99772i | 0.0303489 | − | 0.288751i | −0.968812 | − | 0.247796i | \(-0.920294\pi\) |
0.999161 | − | 0.0409542i | \(-0.0130398\pi\) | |||||||
\(972\) | −8.51548 | + | 6.18686i | −0.273134 | + | 0.198444i | ||||
\(973\) | 14.1410 | + | 24.9041i | 0.453338 | + | 0.798390i | ||||
\(974\) | −1.15946 | + | 3.56845i | −0.0371515 | + | 0.114341i | ||||
\(975\) | 79.9055 | + | 35.5762i | 2.55902 | + | 1.13935i | ||||
\(976\) | 9.76767 | − | 4.34885i | 0.312656 | − | 0.139203i | ||||
\(977\) | 6.60883 | + | 1.40475i | 0.211435 | + | 0.0449420i | 0.312411 | − | 0.949947i | \(-0.398863\pi\) |
−0.100976 | + | 0.994889i | \(0.532197\pi\) | |||||||
\(978\) | −5.61240 | − | 9.72096i | −0.179465 | − | 0.310842i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −3.53664 | − | 39.0330i | −0.112974 | − | 1.24686i | ||||
\(981\) | 3.01968 | + | 9.29361i | 0.0964109 | + | 0.296722i | ||||
\(982\) | −1.65187 | + | 15.7165i | −0.0527134 | + | 0.501534i | ||||
\(983\) | −2.76274 | − | 26.2857i | −0.0881176 | − | 0.838383i | −0.945919 | − | 0.324402i | \(-0.894837\pi\) |
0.857802 | − | 0.513981i | \(-0.171830\pi\) | |||||||
\(984\) | 3.85522 | + | 4.28166i | 0.122900 | + | 0.136494i | ||||
\(985\) | 85.8086 | − | 18.2392i | 2.73409 | − | 0.581149i | ||||
\(986\) | −2.71054 | + | 1.96932i | −0.0863211 | + | 0.0627159i | ||||
\(987\) | −8.21046 | + | 1.68366i | −0.261342 | + | 0.0535916i | ||||
\(988\) | 4.24515 | + | 13.0652i | 0.135056 | + | 0.415660i | ||||
\(989\) | 2.67301 | + | 4.62979i | 0.0849969 | + | 0.147219i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 0.317093 | − | 0.549221i | 0.0100728 | − | 0.0174466i | −0.860945 | − | 0.508698i | \(-0.830127\pi\) |
0.871018 | + | 0.491251i | \(0.163460\pi\) | |||||||
\(992\) | 27.1775 | − | 30.1837i | 0.862886 | − | 0.958332i | ||||
\(993\) | −29.4547 | − | 21.4001i | −0.934717 | − | 0.679112i | ||||
\(994\) | −13.7219 | + | 5.99170i | −0.435232 | + | 0.190045i | ||||
\(995\) | −6.16627 | + | 18.9778i | −0.195484 | + | 0.601637i | ||||
\(996\) | −0.492511 | + | 0.104686i | −0.0156058 | + | 0.00331712i | ||||
\(997\) | 1.05860 | + | 10.0719i | 0.0335261 | + | 0.318979i | 0.998413 | + | 0.0563141i | \(0.0179348\pi\) |
−0.964887 | + | 0.262665i | \(0.915399\pi\) | |||||||
\(998\) | −6.47197 | + | 2.88151i | −0.204867 | + | 0.0912125i | ||||
\(999\) | 13.5266 | − | 15.0228i | 0.427961 | − | 0.475299i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))