Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.54 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.54 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00033 | − | 2.54880i | 0.707339 | − | 1.80227i | 0.120257 | − | 0.992743i | \(-0.461628\pi\) |
0.587082 | − | 0.809528i | \(-0.300277\pi\) | |||||||
\(3\) | 1.48112 | + | 0.897926i | 0.855128 | + | 0.518418i | ||||
\(4\) | −4.02960 | − | 3.73892i | −2.01480 | − | 1.86946i | ||||
\(5\) | 3.08891 | − | 1.48754i | 1.38140 | − | 0.665249i | 0.412106 | − | 0.911136i | \(-0.364793\pi\) |
0.969299 | + | 0.245886i | \(0.0790790\pi\) | |||||||
\(6\) | 3.77024 | − | 2.87686i | 1.53919 | − | 1.17447i | ||||
\(7\) | −1.19899 | − | 2.35848i | −0.453177 | − | 0.891420i | ||||
\(8\) | −8.62683 | + | 4.15446i | −3.05005 | + | 1.46882i | ||||
\(9\) | 1.38746 | + | 2.65988i | 0.462486 | + | 0.886626i | ||||
\(10\) | −0.701513 | − | 9.36104i | −0.221838 | − | 2.96022i | ||||
\(11\) | 1.41056 | + | 1.76878i | 0.425299 | + | 0.533309i | 0.947603 | − | 0.319451i | \(-0.103499\pi\) |
−0.522303 | + | 0.852760i | \(0.674927\pi\) | |||||||
\(12\) | −2.61106 | − | 9.15608i | −0.753749 | − | 2.64313i | ||||
\(13\) | −1.60978 | + | 4.10165i | −0.446472 | + | 1.13759i | 0.513647 | + | 0.858002i | \(0.328294\pi\) |
−0.960119 | + | 0.279591i | \(0.909801\pi\) | |||||||
\(14\) | −7.21066 | + | 0.696741i | −1.92713 | + | 0.186212i | ||||
\(15\) | 5.91077 | + | 0.570379i | 1.52615 | + | 0.147271i | ||||
\(16\) | 1.13763 | + | 15.1806i | 0.284407 | + | 3.79514i | ||||
\(17\) | −1.69709 | + | 1.57467i | −0.411604 | + | 0.381913i | −0.858620 | − | 0.512613i | \(-0.828677\pi\) |
0.447015 | + | 0.894526i | \(0.352487\pi\) | |||||||
\(18\) | 8.16740 | − | 0.875597i | 1.92508 | − | 0.206380i | ||||
\(19\) | 2.93943 | − | 5.09124i | 0.674351 | − | 1.16801i | −0.302307 | − | 0.953211i | \(-0.597757\pi\) |
0.976658 | − | 0.214800i | \(-0.0689100\pi\) | |||||||
\(20\) | −18.0089 | − | 5.55501i | −4.02691 | − | 1.24214i | ||||
\(21\) | 0.341876 | − | 4.56981i | 0.0746034 | − | 0.997213i | ||||
\(22\) | 5.91929 | − | 1.82586i | 1.26200 | − | 0.389275i | ||||
\(23\) | −0.667518 | + | 2.92459i | −0.139187 | + | 0.609819i | 0.856427 | + | 0.516268i | \(0.172679\pi\) |
−0.995614 | + | 0.0935512i | \(0.970178\pi\) | |||||||
\(24\) | −16.5078 | − | 1.59298i | −3.36964 | − | 0.325165i | ||||
\(25\) | 4.21116 | − | 5.28063i | 0.842232 | − | 1.05613i | ||||
\(26\) | 8.84396 | + | 8.20599i | 1.73444 | + | 1.60933i | ||||
\(27\) | −0.333373 | + | 5.18545i | −0.0641577 | + | 0.997940i | ||||
\(28\) | −3.98669 | + | 13.9867i | −0.753413 | + | 2.64323i | ||||
\(29\) | −1.41994 | − | 0.437993i | −0.263676 | − | 0.0813333i | 0.160098 | − | 0.987101i | \(-0.448819\pi\) |
−0.423774 | + | 0.905768i | \(0.639295\pi\) | |||||||
\(30\) | 7.36649 | − | 14.4948i | 1.34493 | − | 2.64637i | ||||
\(31\) | −1.06508 | + | 1.84478i | −0.191294 | + | 0.331332i | −0.945679 | − | 0.325100i | \(-0.894602\pi\) |
0.754385 | + | 0.656432i | \(0.227935\pi\) | |||||||
\(32\) | 21.5308 | + | 6.64138i | 3.80615 | + | 1.17404i | ||||
\(33\) | 0.500976 | + | 3.88637i | 0.0872087 | + | 0.676529i | ||||
\(34\) | 2.31586 | + | 5.90071i | 0.397167 | + | 1.01196i | ||||
\(35\) | −7.21193 | − | 5.50158i | −1.21904 | − | 0.929936i | ||||
\(36\) | 4.35417 | − | 15.9058i | 0.725695 | − | 2.65097i | ||||
\(37\) | −2.96455 | − | 0.914443i | −0.487369 | − | 0.150334i | 0.0413250 | − | 0.999146i | \(-0.486842\pi\) |
−0.528694 | + | 0.848812i | \(0.677318\pi\) | |||||||
\(38\) | −10.0361 | − | 12.5849i | −1.62808 | − | 2.04154i | ||||
\(39\) | −6.06726 | + | 4.62959i | −0.971539 | + | 0.741328i | ||||
\(40\) | −20.4676 | + | 25.6656i | −3.23621 | + | 4.05808i | ||||
\(41\) | −2.52254 | − | 1.71984i | −0.393955 | − | 0.268594i | 0.350100 | − | 0.936712i | \(-0.386148\pi\) |
−0.744055 | + | 0.668119i | \(0.767100\pi\) | |||||||
\(42\) | −11.3055 | − | 5.44268i | −1.74448 | − | 0.839823i | ||||
\(43\) | −1.19865 | + | 0.817229i | −0.182793 | + | 0.124626i | −0.651260 | − | 0.758855i | \(-0.725759\pi\) |
0.468466 | + | 0.883481i | \(0.344807\pi\) | |||||||
\(44\) | 0.929360 | − | 12.4015i | 0.140106 | − | 1.86959i | ||||
\(45\) | 8.24243 | + | 6.15223i | 1.22871 | + | 0.917121i | ||||
\(46\) | 6.78644 | + | 4.62692i | 1.00061 | + | 0.682202i | ||||
\(47\) | 1.41656 | − | 3.60933i | 0.206626 | − | 0.526475i | −0.789565 | − | 0.613667i | \(-0.789694\pi\) |
0.996192 | + | 0.0871913i | \(0.0277891\pi\) | |||||||
\(48\) | −11.9461 | + | 23.5058i | −1.72427 | + | 3.39277i | ||||
\(49\) | −4.12482 | + | 5.65560i | −0.589260 | + | 0.807943i | ||||
\(50\) | −9.24670 | − | 16.0158i | −1.30768 | − | 2.26497i | ||||
\(51\) | −3.92753 | + | 0.808420i | −0.549965 | + | 0.113201i | ||||
\(52\) | 21.8225 | − | 10.5092i | 3.02624 | − | 1.45736i | ||||
\(53\) | 9.53751 | − | 2.94193i | 1.31008 | − | 0.404106i | 0.440434 | − | 0.897785i | \(-0.354825\pi\) |
0.869644 | + | 0.493679i | \(0.164348\pi\) | |||||||
\(54\) | 12.8832 | + | 6.03685i | 1.75318 | + | 0.821511i | ||||
\(55\) | 6.98824 | + | 3.36536i | 0.942294 | + | 0.453785i | ||||
\(56\) | 20.1417 | + | 15.3650i | 2.69155 | + | 2.05324i | ||||
\(57\) | 8.92522 | − | 4.90137i | 1.18217 | − | 0.649203i | ||||
\(58\) | −2.53676 | + | 3.18100i | −0.333093 | + | 0.417685i | ||||
\(59\) | 3.66639 | − | 2.49970i | 0.477323 | − | 0.325433i | −0.300646 | − | 0.953736i | \(-0.597202\pi\) |
0.777969 | + | 0.628302i | \(0.216250\pi\) | |||||||
\(60\) | −21.6854 | − | 24.3983i | −2.79958 | − | 3.14981i | ||||
\(61\) | −7.74088 | + | 7.18249i | −0.991118 | + | 0.919623i | −0.996766 | − | 0.0803608i | \(-0.974393\pi\) |
0.00564771 | + | 0.999984i | \(0.498202\pi\) | |||||||
\(62\) | 3.63653 | + | 4.56006i | 0.461839 | + | 0.579128i | ||||
\(63\) | 4.60971 | − | 6.46147i | 0.580768 | − | 0.814069i | ||||
\(64\) | 19.4825 | − | 24.4303i | 2.43531 | − | 3.05378i | ||||
\(65\) | 1.12891 | + | 15.0643i | 0.140024 | + | 1.86849i | ||||
\(66\) | 10.4067 | + | 2.61076i | 1.28098 | + | 0.321362i | ||||
\(67\) | 5.54419 | − | 9.60281i | 0.677330 | − | 1.17317i | −0.298452 | − | 0.954425i | \(-0.596470\pi\) |
0.975782 | − | 0.218745i | \(-0.0701964\pi\) | |||||||
\(68\) | 12.7261 | 1.54327 | ||||||||
\(69\) | −3.61474 | + | 3.73230i | −0.435164 | + | 0.449316i | ||||
\(70\) | −21.2367 | + | 12.8783i | −2.53827 | + | 1.53926i | ||||
\(71\) | −1.45800 | + | 6.38792i | −0.173033 | + | 0.758107i | 0.811706 | + | 0.584067i | \(0.198539\pi\) |
−0.984739 | + | 0.174040i | \(0.944318\pi\) | |||||||
\(72\) | −23.0198 | − | 17.1822i | −2.71290 | − | 2.02494i | ||||
\(73\) | 6.13695 | + | 0.924996i | 0.718275 | + | 0.108263i | 0.498002 | − | 0.867176i | \(-0.334067\pi\) |
0.220273 | + | 0.975438i | \(0.429305\pi\) | |||||||
\(74\) | −5.29626 | + | 6.64129i | −0.615677 | + | 0.772035i | ||||
\(75\) | 10.9789 | − | 4.03996i | 1.26773 | − | 0.466494i | ||||
\(76\) | −30.8805 | + | 9.52536i | −3.54223 | + | 1.09263i | ||||
\(77\) | 2.48038 | − | 5.44753i | 0.282666 | − | 0.620804i | ||||
\(78\) | 5.73063 | + | 20.0953i | 0.648866 | + | 2.27535i | ||||
\(79\) | 4.22053 | + | 7.31017i | 0.474847 | + | 0.822458i | 0.999585 | − | 0.0288051i | \(-0.00917020\pi\) |
−0.524738 | + | 0.851264i | \(0.675837\pi\) | |||||||
\(80\) | 26.0958 | + | 45.1992i | 2.91760 | + | 5.05343i | ||||
\(81\) | −5.14991 | + | 7.38095i | −0.572213 | + | 0.820105i | ||||
\(82\) | −6.90689 | + | 4.70904i | −0.762738 | + | 0.520026i | ||||
\(83\) | 0.508316 | + | 1.29517i | 0.0557949 | + | 0.142163i | 0.956053 | − | 0.293193i | \(-0.0947178\pi\) |
−0.900258 | + | 0.435356i | \(0.856623\pi\) | |||||||
\(84\) | −18.4638 | + | 17.1362i | −2.01456 | + | 1.86972i | ||||
\(85\) | −2.89977 | + | 7.38850i | −0.314525 | + | 0.801396i | ||||
\(86\) | 0.883900 | + | 3.87262i | 0.0953134 | + | 0.417595i | ||||
\(87\) | −1.70982 | − | 1.92372i | −0.183312 | − | 0.206245i | ||||
\(88\) | −19.5170 | − | 9.39889i | −2.08052 | − | 1.00193i | ||||
\(89\) | −5.49413 | − | 13.9988i | −0.582377 | − | 1.48387i | −0.853378 | − | 0.521293i | \(-0.825450\pi\) |
0.271001 | − | 0.962579i | \(-0.412645\pi\) | |||||||
\(90\) | 23.9259 | − | 14.8540i | 2.52201 | − | 1.56575i | ||||
\(91\) | 11.6038 | − | 1.12123i | 1.21640 | − | 0.117537i | ||||
\(92\) | 13.6246 | − | 9.28912i | 1.42047 | − | 0.968457i | ||||
\(93\) | −3.23399 | + | 1.77598i | −0.335349 | + | 0.184161i | ||||
\(94\) | −7.78243 | − | 7.22104i | −0.802696 | − | 0.744793i | ||||
\(95\) | 1.50621 | − | 20.0989i | 0.154534 | − | 2.06211i | ||||
\(96\) | 25.9264 | + | 29.1698i | 2.64610 | + | 2.97713i | ||||
\(97\) | −2.34978 | + | 4.06993i | −0.238584 | + | 0.413239i | −0.960308 | − | 0.278941i | \(-0.910016\pi\) |
0.721724 | + | 0.692180i | \(0.243350\pi\) | |||||||
\(98\) | 10.2888 | + | 16.1708i | 1.03933 | + | 1.63350i | ||||
\(99\) | −2.74766 | + | 6.20603i | −0.276150 | + | 0.623730i | ||||
\(100\) | −36.7131 | + | 5.53362i | −3.67131 | + | 0.553362i | ||||
\(101\) | −5.19431 | + | 2.50145i | −0.516853 | + | 0.248903i | −0.674079 | − | 0.738659i | \(-0.735459\pi\) |
0.157226 | + | 0.987563i | \(0.449745\pi\) | |||||||
\(102\) | −1.86833 | + | 10.8192i | −0.184992 | + | 1.07126i | ||||
\(103\) | 10.7161 | − | 5.16062i | 1.05589 | − | 0.508491i | 0.176358 | − | 0.984326i | \(-0.443568\pi\) |
0.879534 | + | 0.475835i | \(0.157854\pi\) | |||||||
\(104\) | −3.15286 | − | 42.0720i | −0.309163 | − | 4.12550i | ||||
\(105\) | −5.74176 | − | 14.6243i | −0.560338 | − | 1.42719i | ||||
\(106\) | 2.04226 | − | 27.2521i | 0.198362 | − | 2.64695i | ||||
\(107\) | −3.87616 | − | 9.87629i | −0.374722 | − | 0.954777i | −0.986502 | − | 0.163749i | \(-0.947641\pi\) |
0.611780 | − | 0.791028i | \(-0.290454\pi\) | |||||||
\(108\) | 20.7313 | − | 19.6488i | 1.99487 | − | 1.89071i | ||||
\(109\) | −6.10709 | + | 15.5606i | −0.584953 | + | 1.49044i | 0.265355 | + | 0.964151i | \(0.414511\pi\) |
−0.850308 | + | 0.526285i | \(0.823584\pi\) | |||||||
\(110\) | 15.5681 | − | 14.4451i | 1.48436 | − | 1.37729i | ||||
\(111\) | −3.56977 | − | 4.01635i | −0.338828 | − | 0.381215i | ||||
\(112\) | 34.4390 | − | 20.8845i | 3.25418 | − | 1.97340i | ||||
\(113\) | 0.387884 | + | 0.0584641i | 0.0364890 | + | 0.00549984i | 0.167261 | − | 0.985913i | \(-0.446508\pi\) |
−0.130772 | + | 0.991412i | \(0.541746\pi\) | |||||||
\(114\) | −3.56445 | − | 27.6515i | −0.333841 | − | 2.58980i | ||||
\(115\) | 2.28854 | + | 10.0268i | 0.213408 | + | 0.935001i | ||||
\(116\) | 4.08416 | + | 7.07397i | 0.379205 | + | 0.656802i | ||||
\(117\) | −13.1434 | + | 1.40905i | −1.21511 | + | 0.130267i | ||||
\(118\) | −2.70363 | − | 11.8454i | −0.248890 | − | 1.09046i | ||||
\(119\) | 5.74862 | + | 2.11452i | 0.526975 | + | 0.193838i | ||||
\(120\) | −53.3609 | + | 19.6355i | −4.87116 | + | 1.79247i | ||||
\(121\) | 1.30881 | − | 5.73426i | 0.118982 | − | 0.521296i | ||||
\(122\) | 10.5633 | + | 26.9148i | 0.956353 | + | 2.43675i | ||||
\(123\) | −2.19191 | − | 4.81235i | −0.197638 | − | 0.433915i | ||||
\(124\) | 11.1893 | − | 3.45145i | 1.00483 | − | 0.309949i | ||||
\(125\) | 1.33826 | − | 5.86331i | 0.119698 | − | 0.524430i | ||||
\(126\) | −11.8577 | − | 18.2128i | −1.05637 | − | 1.62252i | ||||
\(127\) | −0.0479773 | − | 0.210202i | −0.00425730 | − | 0.0186524i | 0.972755 | − | 0.231837i | \(-0.0744736\pi\) |
−0.977012 | + | 0.213185i | \(0.931616\pi\) | |||||||
\(128\) | −20.2470 | − | 35.0688i | −1.78960 | − | 3.09968i | ||||
\(129\) | −2.50917 | + | 0.134115i | −0.220920 | + | 0.0118082i | ||||
\(130\) | 39.5250 | + | 12.1918i | 3.46657 | + | 1.06930i | ||||
\(131\) | −8.49789 | − | 4.09237i | −0.742464 | − | 0.357552i | 0.0241086 | − | 0.999709i | \(-0.492325\pi\) |
−0.766573 | + | 0.642157i | \(0.778040\pi\) | |||||||
\(132\) | 12.5121 | − | 17.5336i | 1.08904 | − | 1.52610i | ||||
\(133\) | −15.5319 | − | 0.828204i | −1.34679 | − | 0.0718144i | ||||
\(134\) | −18.9296 | − | 23.7370i | −1.63527 | − | 2.05056i | ||||
\(135\) | 6.68381 | + | 16.5133i | 0.575251 | + | 1.42124i | ||||
\(136\) | 8.09860 | − | 20.6349i | 0.694449 | − | 1.76943i | ||||
\(137\) | −19.7936 | − | 9.53211i | −1.69108 | − | 0.814383i | −0.995376 | − | 0.0960585i | \(-0.969376\pi\) |
−0.695708 | − | 0.718325i | \(-0.744909\pi\) | |||||||
\(138\) | 5.89694 | + | 12.9468i | 0.501981 | + | 1.10210i | ||||
\(139\) | 0.193590 | + | 0.131988i | 0.0164201 | + | 0.0111951i | 0.571502 | − | 0.820600i | \(-0.306361\pi\) |
−0.555082 | + | 0.831796i | \(0.687313\pi\) | |||||||
\(140\) | 8.49121 | + | 49.1340i | 0.717638 | + | 4.15258i | ||||
\(141\) | 5.33901 | − | 4.07391i | 0.449626 | − | 0.343085i | ||||
\(142\) | 14.8230 | + | 10.1062i | 1.24392 | + | 0.848091i | ||||
\(143\) | −9.52562 | + | 2.93826i | −0.796572 | + | 0.245710i | ||||
\(144\) | −38.8001 | + | 24.0884i | −3.23334 | + | 2.00737i | ||||
\(145\) | −5.03760 | + | 0.759297i | −0.418350 | + | 0.0630561i | ||||
\(146\) | 8.49659 | − | 14.7165i | 0.703183 | − | 1.21795i | ||||
\(147\) | −11.1877 | + | 4.67287i | −0.922745 | + | 0.385412i | ||||
\(148\) | 8.52692 | + | 14.7691i | 0.700909 | + | 1.21401i | ||||
\(149\) | −1.27546 | − | 1.59937i | −0.104490 | − | 0.131026i | 0.726837 | − | 0.686810i | \(-0.240990\pi\) |
−0.831327 | + | 0.555784i | \(0.812418\pi\) | |||||||
\(150\) | 0.685442 | − | 32.0242i | 0.0559661 | − | 2.61476i | ||||
\(151\) | −0.0213808 | + | 0.0936754i | −0.00173994 | + | 0.00762320i | −0.975790 | − | 0.218708i | \(-0.929816\pi\) |
0.974050 | + | 0.226331i | \(0.0726730\pi\) | |||||||
\(152\) | −4.20659 | + | 56.1330i | −0.341199 | + | 4.55299i | ||||
\(153\) | −6.54307 | − | 2.32926i | −0.528975 | − | 0.188310i | ||||
\(154\) | −11.4034 | − | 11.7713i | −0.918916 | − | 0.948559i | ||||
\(155\) | −0.545764 | + | 7.28272i | −0.0438368 | + | 0.584962i | ||||
\(156\) | 41.7583 | + | 4.02960i | 3.34334 | + | 0.322626i | ||||
\(157\) | −1.27240 | + | 0.867508i | −0.101549 | + | 0.0692347i | −0.613030 | − | 0.790060i | \(-0.710049\pi\) |
0.511481 | + | 0.859295i | \(0.329097\pi\) | |||||||
\(158\) | 22.8540 | − | 3.44469i | 1.81817 | − | 0.274045i | ||||
\(159\) | 16.7679 | + | 4.20661i | 1.32978 | + | 0.333606i | ||||
\(160\) | 76.3863 | − | 11.5134i | 6.03887 | − | 0.910212i | ||||
\(161\) | 7.69792 | − | 1.93224i | 0.606681 | − | 0.152282i | ||||
\(162\) | 13.6609 | + | 20.5094i | 1.07330 | + | 1.61137i | ||||
\(163\) | 14.2789 | − | 9.73520i | 1.11841 | − | 0.762520i | 0.144512 | − | 0.989503i | \(-0.453839\pi\) |
0.973899 | + | 0.226983i | \(0.0728863\pi\) | |||||||
\(164\) | 3.73448 | + | 16.3618i | 0.291614 | + | 1.27764i | ||||
\(165\) | 7.32861 | + | 11.2594i | 0.570531 | + | 0.876545i | ||||
\(166\) | 3.80960 | 0.295682 | ||||||||
\(167\) | −12.2584 | + | 11.3742i | −0.948586 | + | 0.880159i | −0.992911 | − | 0.118858i | \(-0.962077\pi\) |
0.0443253 | + | 0.999017i | \(0.485886\pi\) | |||||||
\(168\) | 16.0358 | + | 40.8433i | 1.23719 | + | 3.15113i | ||||
\(169\) | −4.70246 | − | 4.36325i | −0.361728 | − | 0.335634i | ||||
\(170\) | 15.9311 | + | 14.7819i | 1.22186 | + | 1.13372i | ||||
\(171\) | 17.6204 | + | 0.754636i | 1.34747 | + | 0.0577085i | ||||
\(172\) | 7.88564 | + | 1.18857i | 0.601275 | + | 0.0906276i | ||||
\(173\) | −8.10086 | + | 2.49878i | −0.615897 | + | 0.189979i | −0.586978 | − | 0.809603i | \(-0.699683\pi\) |
−0.0289186 | + | 0.999582i | \(0.509206\pi\) | |||||||
\(174\) | −6.61356 | + | 2.43363i | −0.501372 | + | 0.184493i | ||||
\(175\) | −17.5034 | − | 3.60048i | −1.32313 | − | 0.272171i | ||||
\(176\) | −25.2465 | + | 23.4253i | −1.90302 | + | 1.76575i | ||||
\(177\) | 7.67492 | − | 0.410225i | 0.576882 | − | 0.0308344i | ||||
\(178\) | −41.1761 | −3.08628 | ||||||||
\(179\) | 5.06663 | − | 4.70114i | 0.378698 | − | 0.351380i | −0.467742 | − | 0.883865i | \(-0.654932\pi\) |
0.846439 | + | 0.532485i | \(0.178742\pi\) | |||||||
\(180\) | −10.2110 | − | 55.6088i | −0.761080 | − | 4.14484i | ||||
\(181\) | −14.4538 | + | 18.1246i | −1.07435 | + | 1.34719i | −0.140270 | + | 0.990113i | \(0.544797\pi\) |
−0.934076 | + | 0.357074i | \(0.883774\pi\) | |||||||
\(182\) | 8.74978 | − | 30.6972i | 0.648577 | − | 2.27543i | ||||
\(183\) | −17.9145 | + | 3.68742i | −1.32428 | + | 0.272582i | ||||
\(184\) | −6.39153 | − | 28.0031i | −0.471190 | − | 2.06442i | ||||
\(185\) | −10.5175 | + | 1.58526i | −0.773264 | + | 0.116551i | ||||
\(186\) | 1.29155 | + | 10.0193i | 0.0947013 | + | 0.734654i | ||||
\(187\) | −5.17909 | − | 0.780622i | −0.378732 | − | 0.0570847i | ||||
\(188\) | −19.2032 | + | 9.24776i | −1.40053 | + | 0.674462i | ||||
\(189\) | 12.6295 | − | 5.43107i | 0.918659 | − | 0.395052i | ||||
\(190\) | −49.7214 | − | 23.9446i | −3.60717 | − | 1.73712i | ||||
\(191\) | 5.56130 | + | 3.79163i | 0.402402 | + | 0.274353i | 0.747563 | − | 0.664190i | \(-0.231224\pi\) |
−0.345162 | + | 0.938543i | \(0.612176\pi\) | |||||||
\(192\) | 50.7926 | − | 18.6904i | 3.66564 | − | 1.34887i | ||||
\(193\) | 0.253939 | − | 3.38858i | 0.0182789 | − | 0.243915i | −0.980579 | − | 0.196127i | \(-0.937164\pi\) |
0.998857 | − | 0.0477884i | \(-0.0152173\pi\) | |||||||
\(194\) | 8.02288 | + | 10.0604i | 0.576009 | + | 0.722292i | ||||
\(195\) | −11.8545 | + | 23.3257i | −0.848920 | + | 1.67039i | ||||
\(196\) | 37.7672 | − | 7.36742i | 2.69766 | − | 0.526244i | ||||
\(197\) | 1.51010 | 0.107590 | 0.0537951 | − | 0.998552i | \(-0.482868\pi\) | ||||
0.0537951 | + | 0.998552i | \(0.482868\pi\) | |||||||
\(198\) | 13.0693 | + | 13.2113i | 0.928798 | + | 0.938886i | ||||
\(199\) | 8.79252 | + | 5.99464i | 0.623285 | + | 0.424949i | 0.833355 | − | 0.552738i | \(-0.186417\pi\) |
−0.210070 | + | 0.977686i | \(0.567369\pi\) | |||||||
\(200\) | −14.3908 | + | 63.0502i | −1.01758 | + | 4.45833i | ||||
\(201\) | 16.8342 | − | 9.24469i | 1.18740 | − | 0.652070i | ||||
\(202\) | 1.17966 | + | 15.7415i | 0.0830007 | + | 1.10757i | ||||
\(203\) | 0.669503 | + | 3.87404i | 0.0469899 | + | 0.271905i | ||||
\(204\) | 18.8490 | + | 11.4271i | 1.31969 | + | 0.800059i | ||||
\(205\) | −10.3502 | − | 1.56005i | −0.722893 | − | 0.108959i | ||||
\(206\) | −2.43371 | − | 32.4755i | −0.169564 | − | 2.26268i | ||||
\(207\) | −8.70521 | + | 2.28223i | −0.605054 | + | 0.158626i | ||||
\(208\) | −64.0967 | − | 19.7712i | −4.44431 | − | 1.37089i | ||||
\(209\) | 13.1515 | − | 1.98228i | 0.909711 | − | 0.137117i | ||||
\(210\) | −43.0180 | + | 0.00546453i | −2.96852 | + | 0.000377088i | ||||
\(211\) | −11.9005 | − | 1.79371i | −0.819266 | − | 0.123484i | −0.273981 | − | 0.961735i | \(-0.588340\pi\) |
−0.545285 | + | 0.838251i | \(0.683579\pi\) | |||||||
\(212\) | −49.4320 | − | 23.8052i | −3.39500 | − | 1.63495i | ||||
\(213\) | −7.89536 | + | 8.15213i | −0.540981 | + | 0.558575i | ||||
\(214\) | −29.0501 | −1.98582 | ||||||||
\(215\) | −2.48688 | + | 4.30740i | −0.169604 | + | 0.293762i | ||||
\(216\) | −18.6668 | − | 46.1190i | −1.27011 | − | 3.13800i | ||||
\(217\) | 5.62789 | + | 0.300094i | 0.382046 | + | 0.0203717i | ||||
\(218\) | 33.5517 | + | 31.1314i | 2.27241 | + | 2.10849i | ||||
\(219\) | 8.25900 | + | 6.88055i | 0.558092 | + | 0.464945i | ||||
\(220\) | −15.5770 | − | 39.6895i | −1.05020 | − | 2.67587i | ||||
\(221\) | −3.72680 | − | 9.49572i | −0.250691 | − | 0.638751i | ||||
\(222\) | −13.8078 | + | 5.08094i | −0.926719 | + | 0.341010i | ||||
\(223\) | 2.57745 | + | 2.39153i | 0.172599 | + | 0.160148i | 0.761742 | − | 0.647880i | \(-0.224344\pi\) |
−0.589143 | + | 0.808028i | \(0.700535\pi\) | |||||||
\(224\) | −10.1518 | − | 58.7430i | −0.678297 | − | 3.92493i | ||||
\(225\) | 19.8887 | + | 3.87452i | 1.32591 | + | 0.258301i | ||||
\(226\) | 0.537024 | − | 0.930153i | 0.0357223 | − | 0.0618728i | ||||
\(227\) | −18.2267 | −1.20975 | −0.604875 | − | 0.796321i | \(-0.706777\pi\) | ||||
−0.604875 | + | 0.796321i | \(0.706777\pi\) | |||||||
\(228\) | −54.2909 | − | 13.6201i | −3.59550 | − | 0.902014i | ||||
\(229\) | 20.0106 | + | 9.63660i | 1.32234 | + | 0.636804i | 0.955915 | − | 0.293644i | \(-0.0948680\pi\) |
0.366423 | + | 0.930448i | \(0.380582\pi\) | |||||||
\(230\) | 27.8455 | + | 4.19703i | 1.83608 | + | 0.276744i | ||||
\(231\) | 8.56524 | − | 5.84127i | 0.563551 | − | 0.384328i | ||||
\(232\) | 14.0692 | − | 2.12059i | 0.923688 | − | 0.139224i | ||||
\(233\) | −20.8451 | − | 6.42986i | −1.36561 | − | 0.421234i | −0.476598 | − | 0.879121i | \(-0.658130\pi\) |
−0.889010 | + | 0.457887i | \(0.848606\pi\) | |||||||
\(234\) | −9.55632 | + | 34.9093i | −0.624716 | + | 2.28209i | ||||
\(235\) | −0.993408 | − | 13.2561i | −0.0648028 | − | 0.864734i | ||||
\(236\) | −24.1202 | − | 3.63554i | −1.57009 | − | 0.236654i | ||||
\(237\) | −0.312860 | + | 14.6170i | −0.0203225 | + | 0.949476i | ||||
\(238\) | 11.1400 | − | 12.5368i | 0.722098 | − | 0.812642i | ||||
\(239\) | −0.944342 | − | 12.6014i | −0.0610844 | − | 0.815115i | −0.940659 | − | 0.339354i | \(-0.889792\pi\) |
0.879574 | − | 0.475761i | \(-0.157827\pi\) | |||||||
\(240\) | −1.93443 | + | 90.3778i | −0.124867 | + | 5.83386i | ||||
\(241\) | 0.526161 | − | 2.30526i | 0.0338930 | − | 0.148495i | −0.955150 | − | 0.296122i | \(-0.904306\pi\) |
0.989043 | + | 0.147627i | \(0.0471636\pi\) | |||||||
\(242\) | −13.3062 | − | 9.07203i | −0.855356 | − | 0.583172i | ||||
\(243\) | −14.2552 | + | 6.30786i | −0.914472 | + | 0.404650i | ||||
\(244\) | 58.0474 | 3.71610 | ||||||||
\(245\) | −4.32828 | + | 23.6055i | −0.276523 | + | 1.50810i | ||||
\(246\) | −14.4583 | + | 0.772798i | −0.921829 | + | 0.0492718i | ||||
\(247\) | 16.1507 | + | 20.2523i | 1.02764 | + | 1.28862i | ||||
\(248\) | 1.52423 | − | 20.3394i | 0.0967887 | − | 1.29156i | ||||
\(249\) | −0.410085 | + | 2.37473i | −0.0259881 | + | 0.150493i | ||||
\(250\) | −13.6057 | − | 9.27619i | −0.860498 | − | 0.586678i | ||||
\(251\) | −3.18381 | − | 1.53324i | −0.200960 | − | 0.0967774i | 0.330697 | − | 0.943737i | \(-0.392716\pi\) |
−0.531657 | + | 0.846960i | \(0.678431\pi\) | |||||||
\(252\) | −42.7342 | + | 8.80181i | −2.69200 | + | 0.554462i | ||||
\(253\) | −6.11454 | + | 2.94461i | −0.384418 | + | 0.185126i | ||||
\(254\) | −0.583755 | − | 0.0879870i | −0.0366281 | − | 0.00552079i | ||||
\(255\) | −10.9293 | + | 8.33951i | −0.684416 | + | 0.522241i | ||||
\(256\) | −47.8400 | + | 7.21072i | −2.99000 | + | 0.450670i | ||||
\(257\) | −2.31933 | − | 10.1616i | −0.144676 | − | 0.633866i | −0.994313 | − | 0.106498i | \(-0.966036\pi\) |
0.849637 | − | 0.527368i | \(-0.176821\pi\) | |||||||
\(258\) | −2.16816 | + | 6.52951i | −0.134984 | + | 0.406510i | ||||
\(259\) | 1.39779 | + | 8.08824i | 0.0868544 | + | 0.502579i | ||||
\(260\) | 51.7750 | − | 64.9238i | 3.21095 | − | 4.02640i | ||||
\(261\) | −0.805099 | − | 4.38456i | −0.0498344 | − | 0.271398i | ||||
\(262\) | −18.9313 | + | 17.5657i | −1.16958 | + | 1.08521i | ||||
\(263\) | 26.3485 | 1.62472 | 0.812360 | − | 0.583156i | \(-0.198183\pi\) | ||||
0.812360 | + | 0.583156i | \(0.198183\pi\) | |||||||
\(264\) | −20.4676 | − | 31.4457i | −1.25969 | − | 1.93535i | ||||
\(265\) | 25.0843 | − | 23.2748i | 1.54092 | − | 1.42976i | ||||
\(266\) | −17.6480 | + | 38.7592i | −1.08207 | + | 2.37648i | ||||
\(267\) | 4.43241 | − | 25.6673i | 0.271259 | − | 1.57081i | ||||
\(268\) | −58.2450 | + | 17.9662i | −3.55788 | + | 1.09746i | ||||
\(269\) | −24.2297 | − | 3.65204i | −1.47731 | − | 0.222669i | −0.639569 | − | 0.768734i | \(-0.720887\pi\) |
−0.837743 | + | 0.546065i | \(0.816125\pi\) | |||||||
\(270\) | 48.7751 | − | 0.516937i | 2.96836 | − | 0.0314598i | ||||
\(271\) | 10.7791 | + | 10.0015i | 0.654781 | + | 0.607548i | 0.935960 | − | 0.352107i | \(-0.114535\pi\) |
−0.281178 | + | 0.959656i | \(0.590725\pi\) | |||||||
\(272\) | −25.8350 | − | 23.9714i | −1.56648 | − | 1.45348i | ||||
\(273\) | 18.1934 | + | 8.75863i | 1.10111 | + | 0.530096i | ||||
\(274\) | −44.0955 | + | 40.9147i | −2.66391 | + | 2.47175i | ||||
\(275\) | 15.2804 | 0.921442 | ||||||||
\(276\) | 28.5207 | − | 1.52443i | 1.71675 | − | 0.0917601i | ||||
\(277\) | −4.71268 | − | 20.6476i | −0.283157 | − | 1.24059i | −0.893720 | − | 0.448626i | \(-0.851914\pi\) |
0.610562 | − | 0.791968i | \(-0.290944\pi\) | |||||||
\(278\) | 0.530064 | − | 0.361391i | 0.0317911 | − | 0.0216748i | ||||
\(279\) | −6.38464 | − | 0.273438i | −0.382239 | − | 0.0163703i | ||||
\(280\) | 85.0722 | + | 17.4995i | 5.08404 | + | 1.04579i | ||||
\(281\) | 18.4254 | − | 2.77718i | 1.09917 | − | 0.165673i | 0.425682 | − | 0.904873i | \(-0.360034\pi\) |
0.673486 | + | 0.739200i | \(0.264796\pi\) | |||||||
\(282\) | −5.04279 | − | 17.6833i | −0.300294 | − | 1.05302i | ||||
\(283\) | −21.6776 | + | 3.26737i | −1.28860 | + | 0.194225i | −0.757360 | − | 0.652997i | \(-0.773511\pi\) |
−0.531238 | + | 0.847222i | \(0.678273\pi\) | |||||||
\(284\) | 29.7591 | − | 20.2894i | 1.76588 | − | 1.20395i | ||||
\(285\) | 20.2782 | − | 28.4166i | 1.20118 | − | 1.68325i | ||||
\(286\) | −2.03971 | + | 27.2181i | −0.120611 | + | 1.60944i | ||||
\(287\) | −1.03169 | + | 8.01143i | −0.0608985 | + | 0.472900i | ||||
\(288\) | 12.2079 | + | 66.4841i | 0.719357 | + | 3.91761i | ||||
\(289\) | −0.869882 | + | 11.6078i | −0.0511695 | + | 0.682810i | ||||
\(290\) | −3.10397 | + | 13.5994i | −0.182271 | + | 0.798582i | ||||
\(291\) | −7.13481 | + | 3.91815i | −0.418250 | + | 0.229686i | ||||
\(292\) | −21.2709 | − | 26.6729i | −1.24479 | − | 1.56091i | ||||
\(293\) | 6.92351 | + | 11.9919i | 0.404476 | + | 0.700573i | 0.994260 | − | 0.106988i | \(-0.0341207\pi\) |
−0.589785 | + | 0.807561i | \(0.700787\pi\) | |||||||
\(294\) | 0.718820 | + | 33.1895i | 0.0419225 | + | 1.93565i | ||||
\(295\) | 7.60675 | − | 13.1753i | 0.442882 | − | 0.767094i | ||||
\(296\) | 29.3737 | − | 4.42738i | 1.70731 | − | 0.257336i | ||||
\(297\) | −9.64218 | + | 6.72471i | −0.559496 | + | 0.390207i | ||||
\(298\) | −5.35235 | + | 1.65098i | −0.310053 | + | 0.0956388i | ||||
\(299\) | −10.9211 | − | 7.44587i | −0.631582 | − | 0.430606i | ||||
\(300\) | −59.3455 | − | 24.7697i | −3.42631 | − | 1.43008i | ||||
\(301\) | 3.36459 | + | 1.84714i | 0.193932 | + | 0.106468i | ||||
\(302\) | 0.217372 | + | 0.148201i | 0.0125083 | + | 0.00852804i | ||||
\(303\) | −9.93953 | − | 0.959148i | −0.571011 | − | 0.0551016i | ||||
\(304\) | 80.6319 | + | 38.8303i | 4.62456 | + | 2.22707i | ||||
\(305\) | −13.2267 | + | 33.7010i | −0.757356 | + | 1.92971i | ||||
\(306\) | −12.4820 | + | 14.3469i | −0.713550 | + | 0.820158i | ||||
\(307\) | −16.4542 | − | 20.6329i | −0.939092 | − | 1.17758i | −0.983924 | − | 0.178589i | \(-0.942847\pi\) |
0.0448320 | − | 0.998995i | \(-0.485725\pi\) | |||||||
\(308\) | −30.3628 | + | 12.6774i | −1.73008 | + | 0.722362i | ||||
\(309\) | 20.5058 | + | 1.97877i | 1.16653 | + | 0.112568i | ||||
\(310\) | 18.0162 | + | 8.67615i | 1.02325 | + | 0.492772i | ||||
\(311\) | −10.6249 | − | 3.27736i | −0.602485 | − | 0.185842i | −0.0215173 | − | 0.999768i | \(-0.506850\pi\) |
−0.580968 | + | 0.813926i | \(0.697326\pi\) | |||||||
\(312\) | 33.1078 | − | 65.1449i | 1.87436 | − | 3.68810i | ||||
\(313\) | 11.6451 | + | 20.1699i | 0.658221 | + | 1.14007i | 0.981076 | + | 0.193623i | \(0.0620240\pi\) |
−0.322855 | + | 0.946448i | \(0.604643\pi\) | |||||||
\(314\) | 0.938282 | + | 4.11088i | 0.0529503 | + | 0.231990i | ||||
\(315\) | 4.62727 | − | 26.8161i | 0.260717 | − | 1.51091i | ||||
\(316\) | 10.3251 | − | 45.2373i | 0.580833 | − | 2.54479i | ||||
\(317\) | 21.8826 | − | 6.74988i | 1.22905 | − | 0.379111i | 0.388805 | − | 0.921320i | \(-0.372888\pi\) |
0.840244 | + | 0.542209i | \(0.182412\pi\) | |||||||
\(318\) | 27.4952 | − | 38.5299i | 1.54185 | − | 2.16065i | ||||
\(319\) | −1.22819 | − | 3.12938i | −0.0687655 | − | 0.175212i | ||||
\(320\) | 23.8387 | − | 104.444i | 1.33262 | − | 5.83860i | ||||
\(321\) | 3.12710 | − | 18.1085i | 0.174538 | − | 1.01072i | ||||
\(322\) | 2.77557 | − | 21.5533i | 0.154676 | − | 1.20112i | ||||
\(323\) | 3.02854 | + | 13.2689i | 0.168513 | + | 0.738302i | ||||
\(324\) | 48.3488 | − | 10.4871i | 2.68605 | − | 0.582619i | ||||
\(325\) | 14.8803 | + | 25.7734i | 0.825408 | + | 1.42965i | ||||
\(326\) | −10.5294 | − | 46.1324i | −0.583171 | − | 2.55504i | ||||
\(327\) | −23.0176 | + | 17.5635i | −1.27288 | + | 0.971263i | ||||
\(328\) | 28.9065 | + | 4.35696i | 1.59610 | + | 0.240573i | ||||
\(329\) | −10.2110 | + | 0.986651i | −0.562949 | + | 0.0543958i | ||||
\(330\) | 36.0290 | − | 7.41599i | 1.98333 | − | 0.408237i | ||||
\(331\) | 5.55674 | − | 5.15591i | 0.305426 | − | 0.283394i | −0.512536 | − | 0.858666i | \(-0.671294\pi\) |
0.817963 | + | 0.575271i | \(0.195104\pi\) | |||||||
\(332\) | 2.79422 | − | 7.11955i | 0.153353 | − | 0.390736i | ||||
\(333\) | −1.68089 | − | 9.15410i | −0.0921121 | − | 0.501642i | ||||
\(334\) | 16.7280 | + | 42.6221i | 0.915313 | + | 2.33218i | ||||
\(335\) | 2.84092 | − | 37.9095i | 0.155216 | − | 2.07122i | ||||
\(336\) | 69.7612 | − | 0.00886170i | 3.80579 | − | 0.000483445i | ||||
\(337\) | −2.60277 | − | 34.7316i | −0.141782 | − | 1.89195i | −0.386400 | − | 0.922331i | \(-0.626281\pi\) |
0.244618 | − | 0.969620i | \(-0.421338\pi\) | |||||||
\(338\) | −15.8250 | + | 7.62093i | −0.860768 | + | 0.414524i | ||||
\(339\) | 0.522008 | + | 0.434883i | 0.0283516 | + | 0.0236196i | ||||
\(340\) | 39.3099 | − | 18.9307i | 2.13188 | − | 1.02666i | ||||
\(341\) | −4.76537 | + | 0.718265i | −0.258059 | + | 0.0388962i | ||||
\(342\) | 19.5496 | − | 44.1560i | 1.05712 | − | 2.38768i | ||||
\(343\) | 18.2842 | + | 2.94726i | 0.987256 | + | 0.159137i | ||||
\(344\) | 6.94544 | − | 12.0299i | 0.374473 | − | 0.648607i | ||||
\(345\) | −5.61367 | + | 16.9058i | −0.302230 | + | 0.910179i | ||||
\(346\) | −1.73463 | + | 23.1470i | −0.0932543 | + | 1.24439i | ||||
\(347\) | −2.72692 | − | 2.53021i | −0.146389 | − | 0.135829i | 0.603579 | − | 0.797303i | \(-0.293741\pi\) |
−0.749968 | + | 0.661474i | \(0.769931\pi\) | |||||||
\(348\) | −0.302752 | + | 14.1447i | −0.0162292 | + | 0.758236i | ||||
\(349\) | −13.4379 | + | 9.16183i | −0.719316 | + | 0.490422i | −0.866808 | − | 0.498642i | \(-0.833832\pi\) |
0.147492 | + | 0.989063i | \(0.452880\pi\) | |||||||
\(350\) | −26.6860 | + | 41.0109i | −1.42643 | + | 2.19213i | ||||
\(351\) | −20.7322 | − | 9.71480i | −1.10660 | − | 0.518538i | ||||
\(352\) | 18.6233 | + | 47.4515i | 0.992627 | + | 2.52917i | ||||
\(353\) | −29.5155 | − | 14.2139i | −1.57095 | − | 0.756529i | −0.572940 | − | 0.819597i | \(-0.694197\pi\) |
−0.998009 | + | 0.0630681i | \(0.979911\pi\) | |||||||
\(354\) | 6.63186 | − | 19.9722i | 0.352480 | − | 1.06151i | ||||
\(355\) | 4.99867 | + | 21.9006i | 0.265302 | + | 1.16236i | ||||
\(356\) | −30.2013 | + | 76.9517i | −1.60067 | + | 4.07843i | ||||
\(357\) | 6.61573 | + | 8.29370i | 0.350142 | + | 0.438949i | ||||
\(358\) | −6.91396 | − | 17.6165i | −0.365414 | − | 0.931060i | ||||
\(359\) | 18.5155 | − | 12.6237i | 0.977211 | − | 0.666251i | 0.0343406 | − | 0.999410i | \(-0.489067\pi\) |
0.942871 | + | 0.333159i | \(0.108115\pi\) | |||||||
\(360\) | −96.6653 | − | 18.8314i | −5.09471 | − | 0.992504i | ||||
\(361\) | −7.78049 | − | 13.4762i | −0.409499 | − | 0.709274i | ||||
\(362\) | 31.7372 | + | 54.9704i | 1.66807 | + | 2.88918i | ||||
\(363\) | 7.08745 | − | 7.31794i | 0.371994 | − | 0.384092i | ||||
\(364\) | −50.9507 | − | 38.8674i | −2.67054 | − | 2.03721i | ||||
\(365\) | 20.3325 | − | 6.27174i | 1.06425 | − | 0.328278i | ||||
\(366\) | −8.52194 | + | 49.3491i | −0.445449 | + | 2.57952i | ||||
\(367\) | 5.26015 | − | 6.59602i | 0.274578 | − | 0.344309i | −0.625353 | − | 0.780342i | \(-0.715045\pi\) |
0.899931 | + | 0.436032i | \(0.143617\pi\) | |||||||
\(368\) | −45.1563 | − | 6.80622i | −2.35394 | − | 0.354799i | ||||
\(369\) | 1.07464 | − | 9.09586i | 0.0559436 | − | 0.473511i | ||||
\(370\) | −6.48047 | + | 28.3928i | −0.336904 | + | 1.47607i | ||||
\(371\) | −18.3739 | − | 18.9666i | −0.953926 | − | 0.984699i | ||||
\(372\) | 19.6719 | + | 4.93516i | 1.01994 | + | 0.255876i | ||||
\(373\) | −28.4462 | −1.47289 | −0.736444 | − | 0.676498i | \(-0.763497\pi\) | ||||
−0.736444 | + | 0.676498i | \(0.763497\pi\) | |||||||
\(374\) | −7.17043 | + | 12.4196i | −0.370774 | + | 0.642200i | ||||
\(375\) | 7.24695 | − | 7.48263i | 0.374231 | − | 0.386401i | ||||
\(376\) | 2.77443 | + | 37.0222i | 0.143080 | + | 1.90927i | ||||
\(377\) | 4.08228 | − | 5.11902i | 0.210248 | − | 0.263643i | ||||
\(378\) | −1.20907 | − | 37.6228i | −0.0621879 | − | 1.93511i | ||||
\(379\) | 20.2233 | + | 25.3592i | 1.03880 | + | 1.30262i | 0.951904 | + | 0.306398i | \(0.0991238\pi\) |
0.0868973 | + | 0.996217i | \(0.472305\pi\) | |||||||
\(380\) | −81.2177 | + | 75.3590i | −4.16638 | + | 3.86584i | ||||
\(381\) | 0.117686 | − | 0.354416i | 0.00602922 | − | 0.0181573i | ||||
\(382\) | 15.2272 | − | 10.3817i | 0.779092 | − | 0.531176i | ||||
\(383\) | 10.7393 | − | 13.4666i | 0.548752 | − | 0.688113i | −0.427682 | − | 0.903929i | \(-0.640670\pi\) |
0.976434 | + | 0.215816i | \(0.0692412\pi\) | |||||||
\(384\) | 1.50087 | − | 70.1216i | 0.0765912 | − | 3.57838i | ||||
\(385\) | −0.441743 | − | 20.5166i | −0.0225133 | − | 1.04562i | ||||
\(386\) | −8.38276 | − | 4.03693i | −0.426671 | − | 0.205474i | ||||
\(387\) | −3.83681 | − | 2.05440i | −0.195036 | − | 0.104431i | ||||
\(388\) | 24.6858 | − | 7.61456i | 1.25323 | − | 0.386571i | ||||
\(389\) | −18.7629 | + | 9.03572i | −0.951315 | + | 0.458129i | −0.844147 | − | 0.536112i | \(-0.819893\pi\) |
−0.107168 | + | 0.994241i | \(0.534178\pi\) | |||||||
\(390\) | 47.5941 | + | 53.5481i | 2.41002 | + | 2.71152i | ||||
\(391\) | −3.47242 | − | 6.01440i | −0.175608 | − | 0.304161i | ||||
\(392\) | 12.0882 | − | 65.9264i | 0.610545 | − | 3.32978i | ||||
\(393\) | −8.91179 | − | 13.6918i | −0.449540 | − | 0.690659i | ||||
\(394\) | 1.51060 | − | 3.84894i | 0.0761027 | − | 0.193907i | ||||
\(395\) | 23.9110 | + | 16.3023i | 1.20310 | + | 0.820257i | ||||
\(396\) | 34.2758 | − | 14.7345i | 1.72242 | − | 0.740438i | ||||
\(397\) | −1.72283 | + | 22.9895i | −0.0864663 | + | 1.15381i | 0.770152 | + | 0.637861i | \(0.220181\pi\) |
−0.856618 | + | 0.515951i | \(0.827438\pi\) | |||||||
\(398\) | 24.0745 | − | 16.4137i | 1.20675 | − | 0.822746i | ||||
\(399\) | −22.2611 | − | 15.1732i | −1.11445 | − | 0.759610i | ||||
\(400\) | 84.9537 | + | 57.9205i | 4.24769 | + | 2.89602i | ||||
\(401\) | −11.1394 | + | 13.9683i | −0.556274 | + | 0.697546i | −0.977864 | − | 0.209241i | \(-0.932901\pi\) |
0.421590 | + | 0.906787i | \(0.361472\pi\) | |||||||
\(402\) | −6.72306 | − | 52.1548i | −0.335316 | − | 2.60124i | ||||
\(403\) | −5.85208 | − | 7.33828i | −0.291513 | − | 0.365546i | ||||
\(404\) | 30.2837 | + | 9.34128i | 1.50667 | + | 0.464746i | ||||
\(405\) | −4.92817 | + | 30.4598i | −0.244882 | + | 1.51356i | ||||
\(406\) | 10.5439 | + | 2.16889i | 0.523283 | + | 0.107640i | ||||
\(407\) | −2.56422 | − | 6.53353i | −0.127104 | − | 0.323855i | ||||
\(408\) | 30.5236 | − | 23.2909i | 1.51114 | − | 1.15307i | ||||
\(409\) | 19.8147 | + | 6.11202i | 0.979773 | + | 0.302220i | 0.742960 | − | 0.669335i | \(-0.233421\pi\) |
0.236812 | + | 0.971555i | \(0.423897\pi\) | |||||||
\(410\) | −14.3299 | + | 24.8201i | −0.707703 | + | 1.22578i | ||||
\(411\) | −20.7577 | − | 31.8914i | −1.02390 | − | 1.57309i | ||||
\(412\) | −62.4768 | − | 19.2716i | −3.07801 | − | 0.949441i | ||||
\(413\) | −10.2915 | − | 5.64996i | −0.506410 | − | 0.278016i | ||||
\(414\) | −2.89113 | + | 24.4708i | −0.142091 | + | 1.20267i | ||||
\(415\) | 3.49676 | + | 3.24452i | 0.171649 | + | 0.159267i | ||||
\(416\) | −61.9005 | + | 77.6208i | −3.03492 | + | 3.80567i | ||||
\(417\) | 0.168216 | + | 0.369320i | 0.00823759 | + | 0.0180857i | ||||
\(418\) | 8.10345 | − | 35.5035i | 0.396353 | − | 1.73653i | ||||
\(419\) | 31.6886 | − | 9.77464i | 1.54809 | − | 0.477523i | 0.601205 | − | 0.799095i | \(-0.294687\pi\) |
0.946885 | + | 0.321572i | \(0.104211\pi\) | |||||||
\(420\) | −31.5421 | + | 80.3980i | −1.53910 | + | 3.92302i | ||||
\(421\) | 23.2281 | + | 7.16493i | 1.13207 | + | 0.349197i | 0.803513 | − | 0.595287i | \(-0.202962\pi\) |
0.328556 | + | 0.944484i | \(0.393438\pi\) | |||||||
\(422\) | −16.4762 | + | 28.5377i | −0.802051 | + | 1.38919i | ||||
\(423\) | 11.5658 | − | 1.23993i | 0.562349 | − | 0.0602873i | ||||
\(424\) | −70.0564 | + | 65.0028i | −3.40224 | + | 3.15682i | ||||
\(425\) | 1.16852 | + | 15.5929i | 0.0566818 | + | 0.756365i | ||||
\(426\) | 12.8802 | + | 28.2785i | 0.624046 | + | 1.37010i | ||||
\(427\) | 26.2210 | + | 9.64492i | 1.26892 | + | 0.466750i | ||||
\(428\) | −21.3073 | + | 54.2901i | −1.02993 | + | 2.62421i | ||||
\(429\) | −16.7470 | − | 4.20136i | −0.808551 | − | 0.202844i | ||||
\(430\) | 8.49098 | + | 10.6474i | 0.409472 | + | 0.513461i | ||||
\(431\) | 1.26642 | + | 16.8993i | 0.0610015 | + | 0.814008i | 0.940865 | + | 0.338782i | \(0.110015\pi\) |
−0.879863 | + | 0.475227i | \(0.842366\pi\) | |||||||
\(432\) | −79.0973 | + | 0.838305i | −3.80557 | + | 0.0403329i | ||||
\(433\) | 0.492507 | − | 0.237179i | 0.0236684 | − | 0.0113981i | −0.422012 | − | 0.906590i | \(-0.638676\pi\) |
0.445681 | + | 0.895192i | \(0.352962\pi\) | |||||||
\(434\) | 6.39462 | − | 14.0442i | 0.306952 | − | 0.674141i | ||||
\(435\) | −8.14311 | − | 3.39878i | −0.390432 | − | 0.162959i | ||||
\(436\) | 82.7890 | − | 39.8691i | 3.96487 | − | 1.90938i | ||||
\(437\) | 12.9277 | + | 11.9951i | 0.618414 | + | 0.573804i | ||||
\(438\) | 25.7988 | − | 14.1677i | 1.23272 | − | 0.676959i | ||||
\(439\) | 6.19048 | − | 15.7731i | 0.295456 | − | 0.752808i | −0.703651 | − | 0.710546i | \(-0.748448\pi\) |
0.999107 | − | 0.0422626i | \(-0.0134566\pi\) | |||||||
\(440\) | −74.2676 | −3.54057 | ||||||||
\(441\) | −20.7662 | − | 3.12461i | −0.988869 | − | 0.148791i | ||||
\(442\) | −27.9307 | −1.32853 | ||||||||
\(443\) | 7.71227 | − | 19.6505i | 0.366421 | − | 0.933626i | −0.622154 | − | 0.782895i | \(-0.713742\pi\) |
0.988575 | − | 0.150731i | \(-0.0481626\pi\) | |||||||
\(444\) | −0.632086 | + | 29.5314i | −0.0299975 | + | 1.40150i | ||||
\(445\) | −37.7948 | − | 35.0684i | −1.79164 | − | 1.66240i | ||||
\(446\) | 8.67381 | − | 4.17708i | 0.410717 | − | 0.197791i | ||||
\(447\) | −0.452993 | − | 3.51414i | −0.0214258 | − | 0.166213i | ||||
\(448\) | −80.9776 | − | 16.6572i | −3.82583 | − | 0.786980i | ||||
\(449\) | 31.0870 | − | 14.9707i | 1.46709 | − | 0.706511i | 0.481619 | − | 0.876381i | \(-0.340049\pi\) |
0.985466 | + | 0.169870i | \(0.0543347\pi\) | |||||||
\(450\) | 29.7705 | − | 46.8163i | 1.40340 | − | 2.20694i | ||||
\(451\) | −0.516166 | − | 6.88776i | −0.0243053 | − | 0.324332i | ||||
\(452\) | −1.34442 | − | 1.68585i | −0.0632363 | − | 0.0792958i | ||||
\(453\) | −0.115781 | + | 0.119547i | −0.00543987 | + | 0.00561679i | ||||
\(454\) | −18.2327 | + | 46.4562i | −0.855703 | + | 2.18030i | ||||
\(455\) | 34.1751 | − | 20.7245i | 1.60216 | − | 0.971578i | ||||
\(456\) | −56.6338 | + | 79.3628i | −2.65212 | + | 3.71650i | ||||
\(457\) | −1.00833 | − | 13.4553i | −0.0471678 | − | 0.629411i | −0.969827 | − | 0.243794i | \(-0.921608\pi\) |
0.922659 | − | 0.385616i | \(-0.126011\pi\) | |||||||
\(458\) | 44.5789 | − | 41.3632i | 2.08303 | − | 1.93277i | ||||
\(459\) | −7.59959 | − | 9.32511i | −0.354719 | − | 0.435259i | ||||
\(460\) | 28.2674 | − | 48.9605i | 1.31797 | − | 2.28280i | ||||
\(461\) | −15.2485 | − | 4.70353i | −0.710192 | − | 0.219065i | −0.0814481 | − | 0.996678i | \(-0.525954\pi\) |
−0.628744 | + | 0.777612i | \(0.716431\pi\) | |||||||
\(462\) | −6.32016 | − | 27.6742i | −0.294040 | − | 1.28752i | ||||
\(463\) | 17.3496 | − | 5.35164i | 0.806304 | − | 0.248712i | 0.135914 | − | 0.990721i | \(-0.456603\pi\) |
0.670390 | + | 0.742009i | \(0.266127\pi\) | |||||||
\(464\) | 5.03363 | − | 22.0538i | 0.233680 | − | 1.02382i | ||||
\(465\) | −7.34768 | + | 10.2966i | −0.340741 | + | 0.477491i | ||||
\(466\) | −37.2404 | + | 46.6979i | −1.72513 | + | 2.16324i | ||||
\(467\) | 0.0759212 | + | 0.0704446i | 0.00351321 | + | 0.00325979i | 0.681927 | − | 0.731420i | \(-0.261142\pi\) |
−0.678414 | + | 0.734680i | \(0.737332\pi\) | |||||||
\(468\) | 58.2309 | + | 43.4642i | 2.69172 | + | 2.00913i | ||||
\(469\) | −29.2955 | − | 1.56211i | −1.35274 | − | 0.0721316i | ||||
\(470\) | −34.7809 | − | 10.7285i | −1.60432 | − | 0.494868i | ||||
\(471\) | −2.66354 | + | 0.142366i | −0.122729 | + | 0.00655989i | ||||
\(472\) | −21.2444 | + | 36.7964i | −0.977853 | + | 1.69369i | ||||
\(473\) | −3.13627 | − | 0.967412i | −0.144206 | − | 0.0444816i | ||||
\(474\) | 36.9428 | + | 15.4192i | 1.69684 | + | 0.708228i | ||||
\(475\) | −14.5065 | − | 36.9621i | −0.665606 | − | 1.69594i | ||||
\(476\) | −15.2586 | − | 30.0143i | −0.699375 | − | 1.37570i | ||||
\(477\) | 21.0581 | + | 21.2868i | 0.964184 | + | 0.974656i | ||||
\(478\) | −33.0630 | − | 10.1986i | −1.51227 | − | 0.466472i | ||||
\(479\) | −9.12724 | − | 11.4452i | −0.417034 | − | 0.522945i | 0.528295 | − | 0.849061i | \(-0.322831\pi\) |
−0.945330 | + | 0.326116i | \(0.894260\pi\) | |||||||
\(480\) | 123.476 | + | 51.5364i | 5.63587 | + | 2.35231i | ||||
\(481\) | 8.52300 | − | 10.6875i | 0.388615 | − | 0.487308i | ||||
\(482\) | −5.34931 | − | 3.64710i | −0.243654 | − | 0.166121i | ||||
\(483\) | 13.1366 | + | 4.05027i | 0.597736 | + | 0.184294i | ||||
\(484\) | −26.7139 | + | 18.2132i | −1.21427 | + | 0.827874i | ||||
\(485\) | −1.20406 | + | 16.0671i | −0.0546736 | + | 0.729568i | ||||
\(486\) | 1.81757 | + | 42.6435i | 0.0824466 | + | 1.93435i | ||||
\(487\) | −9.27871 | − | 6.32612i | −0.420459 | − | 0.286664i | 0.334551 | − | 0.942378i | \(-0.391415\pi\) |
−0.755009 | + | 0.655714i | \(0.772368\pi\) | |||||||
\(488\) | 36.9399 | − | 94.1213i | 1.67219 | − | 4.26067i | ||||
\(489\) | 29.8903 | − | 1.59764i | 1.35169 | − | 0.0722477i | ||||
\(490\) | 55.8360 | + | 34.6452i | 2.52241 | + | 1.56511i | ||||
\(491\) | 3.96681 | + | 6.87071i | 0.179019 | + | 0.310071i | 0.941545 | − | 0.336887i | \(-0.109374\pi\) |
−0.762525 | + | 0.646958i | \(0.776041\pi\) | |||||||
\(492\) | −9.16048 | + | 27.5872i | −0.412986 | + | 1.24373i | ||||
\(493\) | 3.09945 | − | 1.49262i | 0.139592 | − | 0.0672242i | ||||
\(494\) | 67.7749 | − | 20.9058i | 3.04934 | − | 0.940595i | ||||
\(495\) | 0.744451 | + | 23.2572i | 0.0334606 | + | 1.04533i | ||||
\(496\) | −29.2164 | − | 14.0699i | −1.31186 | − | 0.631757i | ||||
\(497\) | 16.8139 | − | 4.22042i | 0.754207 | − | 0.189312i | ||||
\(498\) | 5.64249 | + | 3.42074i | 0.252846 | + | 0.153287i | ||||
\(499\) | 17.7529 | − | 22.2614i | 0.794729 | − | 0.996558i | −0.205113 | − | 0.978738i | \(-0.565756\pi\) |
0.999841 | − | 0.0178198i | \(-0.00567253\pi\) | |||||||
\(500\) | −27.3151 | + | 18.6231i | −1.22157 | + | 0.832851i | ||||
\(501\) | −28.3694 | + | 5.83939i | −1.26745 | + | 0.260885i | ||||
\(502\) | −7.09278 | + | 6.58114i | −0.316566 | + | 0.293730i | ||||
\(503\) | 2.73585 | + | 3.43065i | 0.121986 | + | 0.152965i | 0.839074 | − | 0.544017i | \(-0.183097\pi\) |
−0.717089 | + | 0.696982i | \(0.754526\pi\) | |||||||
\(504\) | −12.9232 | + | 74.8929i | −0.575646 | + | 3.33599i | ||||
\(505\) | −12.3238 | + | 15.4535i | −0.548400 | + | 0.687672i | ||||
\(506\) | 1.38865 | + | 18.5303i | 0.0617332 | + | 0.823772i | ||||
\(507\) | −3.04706 | − | 10.6850i | −0.135325 | − | 0.474536i | ||||
\(508\) | −0.592600 | + | 1.02641i | −0.0262924 | + | 0.0455397i | ||||
\(509\) | −1.22627 | −0.0543535 | −0.0271768 | − | 0.999631i | \(-0.508652\pi\) | ||||
−0.0271768 | + | 0.999631i | \(0.508652\pi\) | |||||||
\(510\) | 10.3229 | + | 36.1987i | 0.457104 | + | 1.60290i | ||||
\(511\) | −5.17659 | − | 15.5829i | −0.228999 | − | 0.689347i | ||||
\(512\) | −11.4555 | + | 50.1900i | −0.506268 | + | 2.21810i | ||||
\(513\) | 25.4204 | + | 16.9395i | 1.12234 | + | 0.747899i | ||||
\(514\) | −28.2200 | − | 4.25349i | −1.24473 | − | 0.187613i | ||||
\(515\) | 25.4246 | − | 31.8814i | 1.12034 | − | 1.40486i | ||||
\(516\) | 10.6124 | + | 8.84114i | 0.467184 | + | 0.389210i | ||||
\(517\) | 8.38227 | − | 2.58559i | 0.368652 | − | 0.113714i | ||||
\(518\) | 22.0135 | + | 4.52822i | 0.967219 | + | 0.198958i | ||||
\(519\) | −14.2421 | − | 3.57296i | −0.625159 | − | 0.156835i | ||||
\(520\) | −72.3228 | − | 125.267i | −3.17157 | − | 5.49331i | ||||
\(521\) | 3.95291 | + | 6.84664i | 0.173180 | + | 0.299957i | 0.939530 | − | 0.342467i | \(-0.111262\pi\) |
−0.766350 | + | 0.642424i | \(0.777929\pi\) | |||||||
\(522\) | −11.9807 | − | 2.33397i | −0.524382 | − | 0.102155i | ||||
\(523\) | 15.9591 | − | 10.8807i | 0.697842 | − | 0.475780i | −0.161704 | − | 0.986839i | \(-0.551699\pi\) |
0.859546 | + | 0.511059i | \(0.170747\pi\) | |||||||
\(524\) | 18.9420 | + | 48.2635i | 0.827487 | + | 2.10840i | ||||
\(525\) | −22.6918 | − | 21.0495i | −0.990349 | − | 0.918676i | ||||
\(526\) | 26.3572 | − | 67.1570i | 1.14923 | − | 2.92818i | ||||
\(527\) | −1.09737 | − | 4.80790i | −0.0478023 | − | 0.209435i | ||||
\(528\) | −58.4273 | + | 12.0263i | −2.54272 | + | 0.523379i | ||||
\(529\) | 12.6146 | + | 6.07489i | 0.548463 | + | 0.264126i | ||||
\(530\) | −34.2302 | − | 87.2173i | −1.48687 | − | 3.78848i | ||||
\(531\) | 11.7359 | + | 6.28391i | 0.509293 | + | 0.272699i | ||||
\(532\) | 59.4908 | + | 61.4100i | 2.57925 | + | 2.66246i | ||||
\(533\) | 11.1149 | − | 7.57801i | 0.481440 | − | 0.328240i | ||||
\(534\) | −60.9869 | − | 36.9730i | −2.63916 | − | 1.59998i | ||||
\(535\) | −26.6645 | − | 24.7411i | −1.15281 | − | 1.06965i | ||||
\(536\) | −7.93423 | + | 105.875i | −0.342707 | + | 4.57310i | ||||
\(537\) | 11.7256 | − | 2.41352i | 0.505996 | − | 0.104151i | ||||
\(538\) | −33.5460 | + | 58.1033i | −1.44627 | + | 2.50501i | ||||
\(539\) | −15.8218 | + | 0.681635i | −0.681495 | + | 0.0293601i | ||||
\(540\) | 34.8089 | − | 91.5322i | 1.49794 | − | 3.93892i | ||||
\(541\) | 28.4760 | − | 4.29206i | 1.22428 | − | 0.184530i | 0.495088 | − | 0.868843i | \(-0.335136\pi\) |
0.729189 | + | 0.684313i | \(0.239898\pi\) | |||||||
\(542\) | 36.2744 | − | 17.4688i | 1.55812 | − | 0.750350i | ||||
\(543\) | −37.6824 | + | 13.8662i | −1.61711 | + | 0.595057i | ||||
\(544\) | −46.9977 | + | 22.6329i | −2.01501 | + | 0.970377i | ||||
\(545\) | 4.28280 | + | 57.1500i | 0.183455 | + | 2.44804i | ||||
\(546\) | 40.5233 | − | 37.6097i | 1.73424 | − | 1.60955i | ||||
\(547\) | −3.16862 | + | 42.2823i | −0.135480 | + | 1.80786i | 0.353360 | + | 0.935487i | \(0.385039\pi\) |
−0.488841 | + | 0.872373i | \(0.662580\pi\) | |||||||
\(548\) | 44.1206 | + | 112.417i | 1.88474 | + | 4.80223i | ||||
\(549\) | −29.8447 | − | 10.6244i | −1.27374 | − | 0.453438i | ||||
\(550\) | 15.2854 | − | 38.9466i | 0.651772 | − | 1.66069i | ||||
\(551\) | −6.40374 | + | 5.94180i | −0.272808 | + | 0.253129i | ||||
\(552\) | 15.6781 | − | 47.2152i | 0.667303 | − | 2.00961i | ||||
\(553\) | 12.1805 | − | 18.7189i | 0.517966 | − | 0.796008i | ||||
\(554\) | −57.3407 | − | 8.64272i | −2.43617 | − | 0.367194i | ||||
\(555\) | −17.0012 | − | 7.09598i | −0.721661 | − | 0.301208i | ||||
\(556\) | −0.286600 | − | 1.25568i | −0.0121545 | − | 0.0532526i | ||||
\(557\) | 19.3915 | + | 33.5871i | 0.821645 | + | 1.42313i | 0.904457 | + | 0.426565i | \(0.140276\pi\) |
−0.0828123 | + | 0.996565i | \(0.526390\pi\) | |||||||
\(558\) | −7.08368 | + | 15.9996i | −0.299876 | + | 0.677318i | ||||
\(559\) | −1.42242 | − | 6.23201i | −0.0601618 | − | 0.263586i | ||||
\(560\) | 75.3126 | − | 115.740i | 3.18254 | − | 4.89091i | ||||
\(561\) | −6.96993 | − | 5.80663i | −0.294271 | − | 0.245156i | ||||
\(562\) | 11.3530 | − | 49.7407i | 0.478897 | − | 2.09818i | ||||
\(563\) | −10.4353 | − | 26.5887i | −0.439796 | − | 1.12058i | −0.963269 | − | 0.268540i | \(-0.913459\pi\) |
0.523473 | − | 0.852042i | \(-0.324636\pi\) | |||||||
\(564\) | −36.7461 | − | 3.54593i | −1.54729 | − | 0.149311i | ||||
\(565\) | 1.28511 | − | 0.396403i | 0.0540649 | − | 0.0166768i | ||||
\(566\) | −13.3568 | + | 58.5202i | −0.561430 | + | 2.45979i | ||||
\(567\) | 23.5825 | + | 3.29623i | 0.990372 | + | 0.138429i | ||||
\(568\) | −13.9605 | − | 61.1648i | −0.585768 | − | 2.56642i | ||||
\(569\) | 21.9979 | + | 38.1015i | 0.922199 | + | 1.59730i | 0.796004 | + | 0.605291i | \(0.206943\pi\) |
0.126195 | + | 0.992005i | \(0.459723\pi\) | |||||||
\(570\) | −52.1431 | − | 80.1110i | −2.18403 | − | 3.35548i | ||||
\(571\) | 0.123402 | + | 0.0380646i | 0.00516422 | + | 0.00159295i | 0.297336 | − | 0.954773i | \(-0.403902\pi\) |
−0.292172 | + | 0.956366i | \(0.594378\pi\) | |||||||
\(572\) | 49.3703 | + | 23.7755i | 2.06428 | + | 0.994104i | ||||
\(573\) | 4.83238 | + | 10.6095i | 0.201875 | + | 0.443219i | ||||
\(574\) | 19.3875 | + | 10.6436i | 0.809217 | + | 0.444256i | ||||
\(575\) | 12.6326 | + | 15.8408i | 0.526818 | + | 0.660608i | ||||
\(576\) | 92.0127 | + | 17.9251i | 3.83386 | + | 0.746878i | ||||
\(577\) | −1.96934 | + | 5.01780i | −0.0819848 | + | 0.208894i | −0.965988 | − | 0.258587i | \(-0.916743\pi\) |
0.884003 | + | 0.467481i | \(0.154838\pi\) | |||||||
\(578\) | 28.7157 | + | 13.8287i | 1.19441 | + | 0.575199i | ||||
\(579\) | 3.41880 | − | 4.79088i | 0.142081 | − | 0.199102i | ||||
\(580\) | 23.1385 | + | 15.7755i | 0.960772 | + | 0.655043i | ||||
\(581\) | 2.44515 | − | 2.75175i | 0.101442 | − | 0.114162i | ||||
\(582\) | 2.84942 | + | 22.1046i | 0.118112 | + | 0.916265i | ||||
\(583\) | 18.6569 | + | 12.7200i | 0.772688 | + | 0.526810i | ||||
\(584\) | −56.7853 | + | 17.5159i | −2.34979 | + | 0.724815i | ||||
\(585\) | −38.5028 | + | 23.9038i | −1.59189 | + | 0.988301i | ||||
\(586\) | 37.4906 | − | 5.65080i | 1.54872 | − | 0.233432i | ||||
\(587\) | −11.9568 | + | 20.7097i | −0.493509 | + | 0.854783i | −0.999972 | − | 0.00747892i | \(-0.997619\pi\) |
0.506463 | + | 0.862262i | \(0.330953\pi\) | |||||||
\(588\) | 62.5533 | + | 23.0001i | 2.57966 | + | 0.948508i | ||||
\(589\) | 6.26147 | + | 10.8452i | 0.257999 | + | 0.446868i | ||||
\(590\) | −25.9718 | − | 32.5676i | −1.06924 | − | 1.34079i | ||||
\(591\) | 2.23665 | + | 1.35596i | 0.0920033 | + | 0.0557766i | ||||
\(592\) | 10.5092 | − | 46.0439i | 0.431926 | − | 1.89239i | ||||
\(593\) | 1.49623 | − | 19.9657i | 0.0614426 | − | 0.819895i | −0.878321 | − | 0.478071i | \(-0.841336\pi\) |
0.939764 | − | 0.341824i | \(-0.111045\pi\) | |||||||
\(594\) | 7.49456 | + | 31.3029i | 0.307506 | + | 1.28437i | ||||
\(595\) | 20.9024 | − | 2.01973i | 0.856916 | − | 0.0828008i | ||||
\(596\) | −0.840348 | + | 11.2137i | −0.0344220 | + | 0.459329i | ||||
\(597\) | 7.64008 | + | 16.7738i | 0.312688 | + | 0.686508i | ||||
\(598\) | −29.9027 | + | 20.3873i | −1.22281 | + | 0.833698i | ||||
\(599\) | 14.6191 | − | 2.20348i | 0.597322 | − | 0.0900318i | 0.156580 | − | 0.987665i | \(-0.449953\pi\) |
0.440743 | + | 0.897634i | \(0.354715\pi\) | |||||||
\(600\) | −77.9290 | + | 80.4634i | −3.18144 | + | 3.28490i | ||||
\(601\) | 42.5394 | − | 6.41179i | 1.73522 | − | 0.261542i | 0.796108 | − | 0.605155i | \(-0.206889\pi\) |
0.939111 | + | 0.343613i | \(0.111651\pi\) | |||||||
\(602\) | 8.07369 | − | 6.72791i | 0.329059 | − | 0.274209i | ||||
\(603\) | 33.2347 | + | 1.42335i | 1.35342 | + | 0.0579634i | ||||
\(604\) | 0.436401 | − | 0.297533i | 0.0177569 | − | 0.0121064i | ||||
\(605\) | −4.48716 | − | 19.6595i | −0.182429 | − | 0.799274i | ||||
\(606\) | −12.3875 | + | 24.3744i | −0.503206 | + | 0.990141i | ||||
\(607\) | −6.87165 | −0.278912 | −0.139456 | − | 0.990228i | \(-0.544535\pi\) | ||||
−0.139456 | + | 0.990228i | \(0.544535\pi\) | |||||||
\(608\) | 97.1013 | − | 90.0968i | 3.93798 | − | 3.65391i | ||||
\(609\) | −2.48699 | + | 6.33910i | −0.100778 | + | 0.256873i | ||||
\(610\) | 72.6659 | + | 67.4241i | 2.94216 | + | 2.72992i | ||||
\(611\) | 12.5239 | + | 11.6205i | 0.506662 | + | 0.470113i | ||||
\(612\) | 17.6570 | + | 33.8500i | 0.713742 | + | 1.36830i | ||||
\(613\) | 13.2245 | + | 1.99327i | 0.534133 | + | 0.0805075i | 0.410570 | − | 0.911829i | \(-0.365330\pi\) |
0.123563 | + | 0.992337i | \(0.460568\pi\) | |||||||
\(614\) | −69.0487 | + | 21.2987i | −2.78658 | + | 0.859546i | ||||
\(615\) | −13.9292 | − | 11.6044i | −0.561679 | − | 0.467934i | ||||
\(616\) | 1.23372 | + | 57.2996i | 0.0497078 | + | 2.30867i | ||||
\(617\) | 2.15543 | − | 1.99995i | 0.0867745 | − | 0.0805150i | −0.635593 | − | 0.772024i | \(-0.719244\pi\) |
0.722368 | + | 0.691509i | \(0.243054\pi\) | |||||||
\(618\) | 25.5560 | − | 50.2856i | 1.02801 | − | 2.02278i | ||||
\(619\) | −14.6241 | −0.587791 | −0.293895 | − | 0.955838i | \(-0.594952\pi\) | ||||
−0.293895 | + | 0.955838i | \(0.594952\pi\) | |||||||
\(620\) | 29.4287 | − | 27.3058i | 1.18189 | − | 1.09663i | ||||
\(621\) | −14.9428 | − | 4.43636i | −0.599633 | − | 0.178025i | ||||
\(622\) | −18.9818 | + | 23.8024i | −0.761099 | + | 0.954388i | ||||
\(623\) | −26.4285 | + | 29.7423i | −1.05883 | + | 1.19160i | ||||
\(624\) | −77.1821 | − | 86.8377i | −3.08976 | − | 3.47629i | ||||
\(625\) | 2.92659 | + | 12.8222i | 0.117063 | + | 0.512888i | ||||
\(626\) | 63.0580 | − | 9.50446i | 2.52030 | − | 0.379875i | ||||
\(627\) | 21.2590 | + | 8.87311i | 0.849003 | + | 0.354358i | ||||
\(628\) | 8.37080 | + | 1.26170i | 0.334031 | + | 0.0503471i | ||||
\(629\) | 6.47105 | − | 3.11629i | 0.258018 | − | 0.124255i | ||||
\(630\) | −63.7199 | − | 38.6188i | −2.53866 | − | 1.53861i | ||||
\(631\) | 7.98604 | + | 3.84587i | 0.317919 | + | 0.153102i | 0.586037 | − | 0.810284i | \(-0.300687\pi\) |
−0.268118 | + | 0.963386i | \(0.586402\pi\) | |||||||
\(632\) | −66.7796 | − | 45.5296i | −2.65635 | − | 1.81107i | ||||
\(633\) | −16.0155 | − | 13.3425i | −0.636560 | − | 0.530317i | ||||
\(634\) | 4.68570 | − | 62.5263i | 0.186093 | − | 2.48324i | ||||
\(635\) | −0.460883 | − | 0.577928i | −0.0182896 | − | 0.0229344i | ||||
\(636\) | −51.8396 | − | 79.6447i | −2.05557 | − | 3.15812i | ||||
\(637\) | −16.5572 | − | 26.0228i | −0.656022 | − | 1.03106i | ||||
\(638\) | −9.20474 | −0.364419 | ||||||||
\(639\) | −19.0140 | + | 4.98488i | −0.752183 | + | 0.197199i | ||||
\(640\) | −114.708 | − | 78.2064i | −4.53422 | − | 3.09138i | ||||
\(641\) | −9.22618 | + | 40.4225i | −0.364412 | + | 1.59659i | 0.377443 | + | 0.926033i | \(0.376804\pi\) |
−0.741855 | + | 0.670561i | \(0.766054\pi\) | |||||||
\(642\) | −43.0268 | − | 26.0848i | −1.69813 | − | 1.02948i | ||||
\(643\) | −2.58025 | − | 34.4310i | −0.101755 | − | 1.35783i | −0.781283 | − | 0.624177i | \(-0.785434\pi\) |
0.679528 | − | 0.733650i | \(-0.262185\pi\) | |||||||
\(644\) | −38.2440 | − | 20.9958i | −1.50703 | − | 0.827349i | ||||
\(645\) | −7.55110 | + | 4.14676i | −0.297324 | + | 0.163279i | ||||
\(646\) | 36.8493 | + | 5.55413i | 1.44981 | + | 0.218524i | ||||
\(647\) | 0.278907 | + | 3.72175i | 0.0109650 | + | 0.146317i | 0.999999 | − | 0.00137013i | \(-0.000436127\pi\) |
−0.989034 | + | 0.147687i | \(0.952817\pi\) | |||||||
\(648\) | 13.7636 | − | 85.0693i | 0.540684 | − | 3.34184i | ||||
\(649\) | 9.59308 | + | 2.95907i | 0.376561 | + | 0.116154i | ||||
\(650\) | 80.5761 | − | 12.1449i | 3.16046 | − | 0.476362i | ||||
\(651\) | 8.06615 | + | 5.49791i | 0.316137 | + | 0.215480i | ||||
\(652\) | −93.9374 | − | 14.1588i | −3.67887 | − | 0.554501i | ||||
\(653\) | 3.32430 | + | 1.60090i | 0.130090 | + | 0.0626480i | 0.497796 | − | 0.867294i | \(-0.334143\pi\) |
−0.367707 | + | 0.929942i | \(0.619857\pi\) | |||||||
\(654\) | 21.7405 | + | 76.2365i | 0.850123 | + | 2.98108i | ||||
\(655\) | −32.3368 | −1.26350 | ||||||||
\(656\) | 23.2384 | − | 40.2501i | 0.907308 | − | 1.57150i | ||||
\(657\) | 6.05439 | + | 17.6069i | 0.236204 | + | 0.686912i | ||||
\(658\) | −7.69956 | + | 27.0127i | −0.300160 | + | 1.05306i | ||||
\(659\) | −32.0339 | − | 29.7231i | −1.24786 | − | 1.15785i | −0.980978 | − | 0.194118i | \(-0.937816\pi\) |
−0.266884 | − | 0.963729i | \(-0.585994\pi\) | |||||||
\(660\) | 12.5668 | − | 72.7720i | 0.489161 | − | 2.83265i | ||||
\(661\) | −1.07350 | − | 2.73525i | −0.0417545 | − | 0.106389i | 0.908475 | − | 0.417938i | \(-0.137247\pi\) |
−0.950230 | + | 0.311550i | \(0.899152\pi\) | |||||||
\(662\) | −7.58278 | − | 19.3206i | −0.294713 | − | 0.750917i | ||||
\(663\) | 3.00660 | − | 17.4107i | 0.116767 | − | 0.676177i | ||||
\(664\) | −9.76588 | − | 9.06141i | −0.378990 | − | 0.351651i | ||||
\(665\) | −49.2088 | + | 20.5462i | −1.90824 | + | 0.796746i | ||||
\(666\) | −25.0134 | − | 4.87287i | −0.969249 | − | 0.188820i | ||||
\(667\) | 2.22878 | − | 3.86037i | 0.0862989 | − | 0.149474i | ||||
\(668\) | 91.9236 | 3.55663 | ||||||||
\(669\) | 1.67011 | + | 5.85651i | 0.0645704 | + | 0.226426i | ||||
\(670\) | −93.7817 | − | 45.1629i | −3.62310 | − | 1.74479i | ||||
\(671\) | −23.6232 | − | 3.56063i | −0.911965 | − | 0.137457i | ||||
\(672\) | 37.7107 | − | 96.1212i | 1.45472 | − | 3.70796i | ||||
\(673\) | −18.2059 | + | 2.74410i | −0.701787 | + | 0.105777i | −0.490236 | − | 0.871590i | \(-0.663090\pi\) |
−0.211551 | + | 0.977367i | \(0.567851\pi\) | |||||||
\(674\) | −91.1274 | − | 28.1091i | −3.51010 | − | 1.08272i | ||||
\(675\) | 25.9785 | + | 23.5972i | 0.999914 | + | 0.908256i | ||||
\(676\) | 2.63520 | + | 35.1642i | 0.101354 | + | 1.35247i | ||||
\(677\) | 17.5865 | + | 2.65074i | 0.675904 | + | 0.101876i | 0.478020 | − | 0.878349i | \(-0.341355\pi\) |
0.197885 | + | 0.980225i | \(0.436593\pi\) | |||||||
\(678\) | 1.63061 | − | 0.895464i | 0.0626231 | − | 0.0343901i | ||||
\(679\) | 12.4162 | + | 0.662065i | 0.476490 | + | 0.0254077i | ||||
\(680\) | −5.67941 | − | 75.7864i | −0.217795 | − | 2.90628i | ||||
\(681\) | −26.9960 | − | 16.3662i | −1.03449 | − | 0.627156i | ||||
\(682\) | −2.93623 | + | 12.8645i | −0.112434 | + | 0.492606i | ||||
\(683\) | 16.7115 | + | 11.3937i | 0.639449 | + | 0.435969i | 0.839159 | − | 0.543886i | \(-0.183048\pi\) |
−0.199710 | + | 0.979855i | \(0.564000\pi\) | |||||||
\(684\) | −68.1817 | − | 68.9222i | −2.60699 | − | 2.63531i | ||||
\(685\) | −75.3203 | −2.87784 | ||||||||
\(686\) | 25.8022 | − | 43.6546i | 0.985133 | − | 1.66674i | ||||
\(687\) | 20.9852 | + | 32.2410i | 0.800637 | + | 1.23007i | ||||
\(688\) | −13.7696 | − | 17.2666i | −0.524962 | − | 0.658281i | ||||
\(689\) | −3.28651 | + | 43.8554i | −0.125206 | + | 1.67076i | ||||
\(690\) | 37.4740 | + | 31.2195i | 1.42661 | + | 1.18851i | ||||
\(691\) | −22.0971 | − | 15.0655i | −0.840613 | − | 0.573120i | 0.0646807 | − | 0.997906i | \(-0.479397\pi\) |
−0.905294 | + | 0.424786i | \(0.860349\pi\) | |||||||
\(692\) | 41.9859 | + | 20.2194i | 1.59607 | + | 0.768625i | ||||
\(693\) | 17.9312 | − | 0.960708i | 0.681150 | − | 0.0364943i | ||||
\(694\) | −9.17680 | + | 4.41932i | −0.348347 | + | 0.167755i | ||||
\(695\) | 0.794322 | + | 0.119725i | 0.0301304 | + | 0.00454142i | ||||
\(696\) | 22.7424 | + | 9.49224i | 0.862047 | + | 0.359802i | ||||
\(697\) | 6.98915 | − | 1.05344i | 0.264733 | − | 0.0399020i | ||||
\(698\) | 9.90928 | + | 43.4154i | 0.375072 | + | 1.64330i | ||||
\(699\) | −25.1007 | − | 28.2408i | −0.949394 | − | 1.06816i | ||||
\(700\) | 57.0698 | + | 79.9523i | 2.15703 | + | 3.02191i | ||||
\(701\) | 23.4650 | − | 29.4242i | 0.886262 | − | 1.11134i | −0.106862 | − | 0.994274i | \(-0.534080\pi\) |
0.993124 | − | 0.117064i | \(-0.0373482\pi\) | |||||||
\(702\) | −45.5001 | + | 43.1242i | −1.71729 | + | 1.62762i | ||||
\(703\) | −13.3697 | + | 12.4053i | −0.504249 | + | 0.467875i | ||||
\(704\) | 70.6931 | 2.66435 | ||||||||
\(705\) | 10.4316 | − | 20.5260i | 0.392878 | − | 0.773052i | ||||
\(706\) | −65.7535 | + | 61.0103i | −2.47466 | + | 2.29615i | ||||
\(707\) | 12.1276 | + | 9.25143i | 0.456104 | + | 0.347936i | ||||
\(708\) | −32.4606 | − | 27.0429i | −1.21995 | − | 1.01633i | ||||
\(709\) | −16.0209 | + | 4.94179i | −0.601677 | + | 0.185593i | −0.580605 | − | 0.814185i | \(-0.697184\pi\) |
−0.0210717 | + | 0.999778i | \(0.506708\pi\) | |||||||
\(710\) | 60.8204 | + | 9.16721i | 2.28255 | + | 0.344039i | ||||
\(711\) | −13.5884 | + | 21.3687i | −0.509603 | + | 0.801387i | ||||
\(712\) | 105.555 | + | 97.9403i | 3.95582 | + | 3.67047i | ||||
\(713\) | −4.68425 | − | 4.34635i | −0.175427 | − | 0.162772i | ||||
\(714\) | 27.7569 | − | 8.56572i | 1.03877 | − | 0.320564i | ||||
\(715\) | −25.0530 | + | 23.2458i | −0.936930 | + | 0.869344i | ||||
\(716\) | −37.9937 | −1.41989 | ||||||||
\(717\) | 9.91641 | − | 19.5122i | 0.370335 | − | 0.728695i | ||||
\(718\) | −13.6535 | − | 59.8201i | −0.509546 | − | 2.23246i | ||||
\(719\) | −18.2861 | + | 12.4673i | −0.681957 | + | 0.464950i | −0.854091 | − | 0.520123i | \(-0.825886\pi\) |
0.172135 | + | 0.985073i | \(0.444934\pi\) | |||||||
\(720\) | −84.0176 | + | 132.124i | −3.13115 | + | 4.92396i | ||||
\(721\) | −25.0198 | − | 19.0862i | −0.931786 | − | 0.710807i | ||||
\(722\) | −42.1311 | + | 6.35024i | −1.56796 | + | 0.236332i | ||||
\(723\) | 2.84926 | − | 2.94193i | 0.105965 | − | 0.109411i | ||||
\(724\) | 126.009 | − | 18.9929i | 4.68310 | − | 0.705864i | ||||
\(725\) | −8.29247 | + | 5.65371i | −0.307975 | + | 0.209974i | ||||
\(726\) | −11.5622 | − | 25.3848i | −0.429112 | − | 0.942118i | ||||
\(727\) | 3.30965 | − | 44.1643i | 0.122748 | − | 1.63796i | −0.507560 | − | 0.861616i | \(-0.669452\pi\) |
0.630308 | − | 0.776345i | \(-0.282929\pi\) | |||||||
\(728\) | −95.4456 | + | 57.8801i | −3.53745 | + | 2.14518i | ||||
\(729\) | −26.7777 | − | 3.45738i | −0.991768 | − | 0.128051i | ||||
\(730\) | 4.35378 | − | 58.0971i | 0.161141 | − | 2.15027i | ||||
\(731\) | 0.747358 | − | 3.27439i | 0.0276420 | − | 0.121108i | ||||
\(732\) | 85.9754 | + | 52.1222i | 3.17774 | + | 1.92649i | ||||
\(733\) | −5.19238 | − | 6.51104i | −0.191785 | − | 0.240491i | 0.676637 | − | 0.736317i | \(-0.263437\pi\) |
−0.868422 | + | 0.495826i | \(0.834865\pi\) | |||||||
\(734\) | −11.5500 | − | 20.0052i | −0.426319 | − | 0.738407i | ||||
\(735\) | −27.6067 | + | 31.0763i | −1.01829 | + | 1.14626i | ||||
\(736\) | −33.7955 | + | 58.5356i | −1.24572 | + | 2.15765i | ||||
\(737\) | 24.8057 | − | 3.73886i | 0.913730 | − | 0.137723i | ||||
\(738\) | −22.1085 | − | 11.8379i | −0.813825 | − | 0.435759i | ||||
\(739\) | 26.5523 | − | 8.19029i | 0.976741 | − | 0.301285i | 0.235018 | − | 0.971991i | \(-0.424485\pi\) |
0.741723 | + | 0.670706i | \(0.234009\pi\) | |||||||
\(740\) | 48.3086 | + | 32.9362i | 1.77586 | + | 1.21076i | ||||
\(741\) | 5.73609 | + | 44.4982i | 0.210720 | + | 1.63468i | ||||
\(742\) | −66.7220 | + | 27.8585i | −2.44944 | + | 1.02272i | ||||
\(743\) | −38.4038 | − | 26.1833i | −1.40890 | − | 0.960571i | −0.998822 | − | 0.0485207i | \(-0.984549\pi\) |
−0.410077 | − | 0.912051i | \(-0.634498\pi\) | |||||||
\(744\) | 20.5209 | − | 28.7566i | 0.752332 | − | 1.05427i | ||||
\(745\) | −6.31892 | − | 3.04303i | −0.231507 | − | 0.111488i | ||||
\(746\) | −28.4555 | + | 72.5035i | −1.04183 | + | 2.65454i | ||||
\(747\) | −2.73972 | + | 3.14905i | −0.100241 | + | 0.115218i | ||||
\(748\) | 17.9510 | + | 22.5098i | 0.656352 | + | 0.823039i | ||||
\(749\) | −18.6455 | + | 20.9834i | −0.681292 | + | 0.766718i | ||||
\(750\) | −11.8224 | − | 25.9561i | −0.431692 | − | 0.947782i | ||||
\(751\) | −2.10691 | − | 1.01464i | −0.0768824 | − | 0.0370246i | 0.395047 | − | 0.918661i | \(-0.370728\pi\) |
−0.471930 | + | 0.881636i | \(0.656442\pi\) | |||||||
\(752\) | 56.4033 | + | 17.3981i | 2.05682 | + | 0.634444i | ||||
\(753\) | −3.33888 | − | 5.12975i | −0.121676 | − | 0.186938i | ||||
\(754\) | −8.96371 | − | 15.5256i | −0.326439 | − | 0.565409i | ||||
\(755\) | 0.0733027 | + | 0.321160i | 0.00266776 | + | 0.0116882i | ||||
\(756\) | −71.1980 | − | 25.3355i | −2.58945 | − | 0.921445i | ||||
\(757\) | 8.49306 | − | 37.2105i | 0.308685 | − | 1.35244i | −0.547947 | − | 0.836513i | \(-0.684591\pi\) |
0.856633 | − | 0.515927i | \(-0.172552\pi\) | |||||||
\(758\) | 84.8654 | − | 26.1775i | 3.08245 | − | 0.950810i | ||||
\(759\) | −11.7004 | − | 1.12907i | −0.424699 | − | 0.0409827i | ||||
\(760\) | 70.5065 | + | 179.648i | 2.55754 | + | 6.51651i | ||||
\(761\) | −0.880281 | + | 3.85676i | −0.0319101 | + | 0.139807i | −0.988374 | − | 0.152044i | \(-0.951414\pi\) |
0.956464 | + | 0.291852i | \(0.0942715\pi\) | |||||||
\(762\) | −0.785609 | − | 0.654489i | −0.0284596 | − | 0.0237096i | ||||
\(763\) | 44.0217 | − | 4.25366i | 1.59369 | − | 0.153993i | ||||
\(764\) | −8.23320 | − | 36.0720i | −0.297867 | − | 1.30504i | ||||
\(765\) | −23.6758 | + | 2.53820i | −0.856002 | + | 0.0917688i | ||||
\(766\) | −23.5809 | − | 40.8433i | −0.852012 | − | 1.47573i | ||||
\(767\) | 4.35082 | + | 19.0622i | 0.157099 | + | 0.688296i | ||||
\(768\) | −77.3317 | − | 32.2768i | −2.79047 | − | 1.16469i | ||||
\(769\) | 37.0377 | + | 5.58254i | 1.33562 | + | 0.201312i | 0.777726 | − | 0.628604i | \(-0.216373\pi\) |
0.557890 | + | 0.829915i | \(0.311611\pi\) | |||||||
\(770\) | −52.7346 | − | 19.3975i | −1.90042 | − | 0.699036i | ||||
\(771\) | 5.68918 | − | 17.1332i | 0.204891 | − | 0.617038i | ||||
\(772\) | −13.6929 | + | 12.7051i | −0.492818 | + | 0.457268i | ||||
\(773\) | 6.05054 | − | 15.4165i | 0.217623 | − | 0.554494i | −0.779817 | − | 0.626008i | \(-0.784688\pi\) |
0.997440 | + | 0.0715140i | \(0.0227831\pi\) | |||||||
\(774\) | −9.07433 | + | 7.72417i | −0.326170 | + | 0.277640i | ||||
\(775\) | 5.25635 | + | 13.3930i | 0.188814 | + | 0.481089i | ||||
\(776\) | 3.36274 | − | 44.8727i | 0.120715 | − | 1.61084i | ||||
\(777\) | −5.19234 | + | 13.2348i | −0.186274 | + | 0.474796i | ||||
\(778\) | 4.26117 | + | 56.8614i | 0.152770 | + | 2.03858i | ||||
\(779\) | −16.1709 | + | 7.78752i | −0.579384 | + | 0.279017i | ||||
\(780\) | 134.982 | − | 49.6701i | 4.83313 | − | 1.77848i | ||||
\(781\) | −13.3555 | + | 6.43165i | −0.477896 | + | 0.230142i | ||||
\(782\) | −18.8030 | + | 2.83410i | −0.672395 | + | 0.101347i | ||||
\(783\) | 2.74456 | − | 7.21700i | 0.0980826 | − | 0.257915i | ||||
\(784\) | −90.5478 | − | 56.1832i | −3.23385 | − | 2.00654i | ||||
\(785\) | −2.63988 | + | 4.57241i | −0.0942214 | + | 0.163196i | ||||
\(786\) | −43.8123 | + | 9.01806i | −1.56273 | + | 0.321663i | ||||
\(787\) | −1.75055 | + | 23.3594i | −0.0624003 | + | 0.832673i | 0.874934 | + | 0.484242i | \(0.160905\pi\) |
−0.937334 | + | 0.348431i | \(0.886714\pi\) | |||||||
\(788\) | −6.08509 | − | 5.64614i | −0.216773 | − | 0.201136i | ||||
\(789\) | 39.0254 | + | 23.6590i | 1.38934 | + | 0.842283i | ||||
\(790\) | 65.4701 | − | 44.6367i | 2.32932 | − | 1.58810i | ||||
\(791\) | −0.327184 | − | 0.984913i | −0.0116333 | − | 0.0350195i | ||||
\(792\) | −2.07913 | − | 64.9535i | −0.0738787 | − | 2.30802i | ||||
\(793\) | −16.9989 | − | 43.3126i | −0.603650 | − | 1.53807i | ||||
\(794\) | 56.8723 | + | 27.3882i | 2.01832 | + | 0.971972i | ||||
\(795\) | 58.0521 | − | 11.9491i | 2.05889 | − | 0.423791i | ||||
\(796\) | −13.0168 | − | 57.0305i | −0.461370 | − | 2.02139i | ||||
\(797\) | 10.8100 | − | 27.5435i | 0.382911 | − | 0.975643i | −0.601360 | − | 0.798978i | \(-0.705374\pi\) |
0.984271 | − | 0.176664i | \(-0.0565306\pi\) | |||||||
\(798\) | −60.9417 | + | 41.5607i | −2.15731 | + | 1.47123i | ||||
\(799\) | 3.27947 | + | 8.35596i | 0.116019 | + | 0.295613i | ||||
\(800\) | 125.741 | − | 85.7285i | 4.44560 | − | 3.03096i | ||||
\(801\) | 29.6123 | − | 34.0365i | 1.04630 | − | 1.20262i | ||||
\(802\) | 24.4594 | + | 42.3649i | 0.863692 | + | 1.49596i | ||||
\(803\) | 7.02040 | + | 12.1597i | 0.247745 | + | 0.429106i | ||||
\(804\) | −102.400 | − | 25.6895i | −3.61138 | − | 0.905998i | ||||
\(805\) | 20.9039 | − | 17.4195i | 0.736767 | − | 0.613957i | ||||
\(806\) | −24.5578 | + | 7.57507i | −0.865011 | + | 0.266820i | ||||
\(807\) | −32.6079 | − | 27.1656i | −1.14785 | − | 0.956274i | ||||
\(808\) | 34.4183 | − | 43.1591i | 1.21083 | − | 1.51833i | ||||
\(809\) | 21.8297 | + | 3.29029i | 0.767490 | + | 0.115680i | 0.521106 | − | 0.853492i | \(-0.325520\pi\) |
0.246384 | + | 0.969172i | \(0.420758\pi\) | |||||||
\(810\) | 72.7061 | + | 43.0307i | 2.55463 | + | 1.51195i | ||||
\(811\) | −5.40511 | + | 23.6814i | −0.189799 | + | 0.831565i | 0.786922 | + | 0.617052i | \(0.211673\pi\) |
−0.976721 | + | 0.214512i | \(0.931184\pi\) | |||||||
\(812\) | 11.7869 | − | 18.1141i | 0.413640 | − | 0.635679i | ||||
\(813\) | 6.98452 | + | 24.4923i | 0.244958 | + | 0.858981i | ||||
\(814\) | −19.2177 | −0.673580 | ||||||||
\(815\) | 29.6248 | − | 51.3117i | 1.03771 | − | 1.79737i | ||||
\(816\) | −16.7403 | − | 58.7025i | −0.586029 | − | 2.05500i | ||||
\(817\) | 0.637348 | + | 8.50482i | 0.0222980 | + | 0.297546i | ||||
\(818\) | 35.3995 | − | 44.3895i | 1.23771 | − | 1.55204i | ||||
\(819\) | 19.0821 | + | 29.3089i | 0.666782 | + | 1.02414i | ||||
\(820\) | 35.8744 | + | 44.9851i | 1.25279 | + | 1.57095i | ||||
\(821\) | 3.78932 | − | 3.51597i | 0.132248 | − | 0.122708i | −0.611276 | − | 0.791418i | \(-0.709343\pi\) |
0.743524 | + | 0.668709i | \(0.233153\pi\) | |||||||
\(822\) | −102.049 | + | 21.0052i | −3.55938 | + | 0.732641i | ||||
\(823\) | −0.556800 | + | 0.379620i | −0.0194088 | + | 0.0132327i | −0.572986 | − | 0.819565i | \(-0.694215\pi\) |
0.553577 | + | 0.832798i | \(0.313263\pi\) | |||||||
\(824\) | −71.0067 | + | 89.0396i | −2.47364 | + | 3.10184i | ||||
\(825\) | 22.6322 | + | 13.7206i | 0.787950 | + | 0.477692i | ||||
\(826\) | −24.6954 | + | 20.5790i | −0.859264 | + | 0.716036i | ||||
\(827\) | 50.6283 | + | 24.3813i | 1.76052 | + | 0.847820i | 0.972753 | + | 0.231843i | \(0.0744757\pi\) |
0.787764 | + | 0.615977i | \(0.211239\pi\) | |||||||
\(828\) | 43.6115 | + | 23.3516i | 1.51561 | + | 0.811524i | ||||
\(829\) | −5.15852 | + | 1.59119i | −0.179163 | + | 0.0552644i | −0.383039 | − | 0.923732i | \(-0.625122\pi\) |
0.203876 | + | 0.978997i | \(0.434646\pi\) | |||||||
\(830\) | 11.7675 | − | 5.66694i | 0.408457 | − | 0.196702i | ||||
\(831\) | 11.5599 | − | 34.8133i | 0.401010 | − | 1.20766i | ||||
\(832\) | 68.8419 | + | 119.238i | 2.38666 | + | 4.13382i | ||||
\(833\) | −1.90551 | − | 16.0933i | −0.0660219 | − | 0.557599i | ||||
\(834\) | 1.10959 | − | 0.0593078i | 0.0384221 | − | 0.00205366i | ||||
\(835\) | −20.9457 | + | 53.3688i | −0.724856 | + | 1.84690i | ||||
\(836\) | −60.4070 | − | 41.1848i | −2.08922 | − | 1.42441i | ||||
\(837\) | −9.21092 | − | 6.13793i | −0.318376 | − | 0.212158i | ||||
\(838\) | 6.78546 | − | 90.5457i | 0.234400 | − | 3.12785i | ||||
\(839\) | −7.40317 | + | 5.04739i | −0.255586 | + | 0.174255i | −0.684334 | − | 0.729169i | \(-0.739907\pi\) |
0.428748 | + | 0.903424i | \(0.358955\pi\) | |||||||
\(840\) | 110.289 | + | 102.307i | 3.80534 | + | 3.52994i | ||||
\(841\) | −22.1365 | − | 15.0924i | −0.763329 | − | 0.520429i | ||||
\(842\) | 41.4977 | − | 52.0364i | 1.43010 | − | 1.79329i | ||||
\(843\) | 29.7840 | + | 12.4313i | 1.02582 | + | 0.428156i | ||||
\(844\) | 41.2477 | + | 51.7230i | 1.41981 | + | 1.78038i | ||||
\(845\) | −21.0160 | − | 6.48258i | −0.722973 | − | 0.223008i | ||||
\(846\) | 8.40928 | − | 30.7192i | 0.289117 | − | 1.05615i | ||||
\(847\) | −15.0934 | + | 3.78856i | −0.518614 | + | 0.130176i | ||||
\(848\) | 55.5104 | + | 141.438i | 1.90623 | + | 4.85700i | ||||
\(849\) | −35.0411 | − | 14.6255i | −1.20261 | − | 0.501945i | ||||
\(850\) | 40.9119 | + | 12.6197i | 1.40327 | + | 0.432851i | ||||
\(851\) | 4.65326 | − | 8.05969i | 0.159512 | − | 0.276283i | ||||
\(852\) | 62.2953 | − | 3.32969i | 2.13420 | − | 0.114073i | ||||
\(853\) | 14.0752 | + | 4.34164i | 0.481927 | + | 0.148655i | 0.526193 | − | 0.850365i | \(-0.323619\pi\) |
−0.0442663 | + | 0.999020i | \(0.514095\pi\) | |||||||
\(854\) | 50.8125 | − | 57.1839i | 1.73877 | − | 1.95679i | ||||
\(855\) | 55.5505 | − | 23.8801i | 1.89979 | − | 0.816683i | ||||
\(856\) | 74.4697 | + | 69.0977i | 2.54532 | + | 2.36171i | ||||
\(857\) | −25.8999 | + | 32.4774i | −0.884724 | + | 1.10941i | 0.108604 | + | 0.994085i | \(0.465362\pi\) |
−0.993328 | + | 0.115323i | \(0.963210\pi\) | |||||||
\(858\) | −27.4609 | + | 38.4819i | −0.937499 | + | 1.31375i | ||||
\(859\) | −5.78270 | + | 25.3357i | −0.197303 | + | 0.864442i | 0.775230 | + | 0.631679i | \(0.217634\pi\) |
−0.972533 | + | 0.232763i | \(0.925223\pi\) | |||||||
\(860\) | 26.1261 | − | 8.05884i | 0.890894 | − | 0.274804i | ||||
\(861\) | −8.72172 | + | 10.9395i | −0.297236 | + | 0.372819i | ||||
\(862\) | 44.3396 | + | 13.6769i | 1.51021 | + | 0.465839i | ||||
\(863\) | 10.2058 | − | 17.6769i | 0.347409 | − | 0.601730i | −0.638379 | − | 0.769722i | \(-0.720395\pi\) |
0.985788 | + | 0.167992i | \(0.0537282\pi\) | |||||||
\(864\) | −41.6164 | + | 109.433i | −1.41582 | + | 3.72299i | ||||
\(865\) | −21.3058 | + | 19.7689i | −0.724419 | + | 0.672163i | ||||
\(866\) | −0.111852 | − | 1.49256i | −0.00380088 | − | 0.0507192i | ||||
\(867\) | −11.7113 | + | 16.4115i | −0.397737 | + | 0.557362i | ||||
\(868\) | −21.5561 | − | 22.2515i | −0.731662 | − | 0.755265i | ||||
\(869\) | −6.97681 | + | 17.7766i | −0.236672 | + | 0.603031i | ||||
\(870\) | −16.8086 | + | 17.3552i | −0.569864 | + | 0.588397i | ||||
\(871\) | 30.4624 | + | 38.1987i | 1.03218 | + | 1.29431i | ||||
\(872\) | −11.9612 | − | 159.610i | −0.405056 | − | 5.40509i | ||||
\(873\) | −14.0857 | − | 0.603255i | −0.476730 | − | 0.0204171i | ||||
\(874\) | 43.5050 | − | 20.9509i | 1.47158 | − | 0.708675i | ||||
\(875\) | −15.4330 | + | 3.87382i | −0.521732 | + | 0.130959i | ||||
\(876\) | −7.55462 | − | 58.6056i | −0.255247 | − | 1.98010i | ||||
\(877\) | 40.7859 | − | 19.6414i | 1.37724 | − | 0.663244i | 0.408831 | − | 0.912610i | \(-0.365936\pi\) |
0.968409 | + | 0.249366i | \(0.0802221\pi\) | |||||||
\(878\) | −34.0099 | − | 31.5565i | −1.14778 | − | 1.06498i | ||||
\(879\) | −0.513227 | + | 23.9782i | −0.0173107 | + | 0.808766i | ||||
\(880\) | −43.1381 | + | 109.914i | −1.45418 | + | 3.70520i | ||||
\(881\) | −3.15454 | −0.106279 | −0.0531395 | − | 0.998587i | \(-0.516923\pi\) | ||||
−0.0531395 | + | 0.998587i | \(0.516923\pi\) | |||||||
\(882\) | −28.7371 | + | 49.8033i | −0.967627 | + | 1.67696i | ||||
\(883\) | −9.71391 | −0.326899 | −0.163450 | − | 0.986552i | \(-0.552262\pi\) | ||||
−0.163450 | + | 0.986552i | \(0.552262\pi\) | |||||||
\(884\) | −20.4863 | + | 52.1981i | −0.689027 | + | 1.75561i | ||||
\(885\) | 23.0969 | − | 12.6839i | 0.776395 | − | 0.426365i | ||||
\(886\) | −42.3704 | − | 39.3140i | −1.42346 | − | 1.32078i | ||||
\(887\) | −20.1593 | + | 9.70820i | −0.676883 | + | 0.325969i | −0.740550 | − | 0.672002i | \(-0.765435\pi\) |
0.0636670 | + | 0.997971i | \(0.479720\pi\) | |||||||
\(888\) | 47.4816 | + | 19.8179i | 1.59338 | + | 0.665046i | ||||
\(889\) | −0.438232 | + | 0.365185i | −0.0146978 | + | 0.0122479i | ||||
\(890\) | −127.189 | + | 61.2512i | −4.26340 | + | 2.05314i | ||||
\(891\) | −20.3196 | + | 1.30217i | −0.680731 | + | 0.0436244i | ||||
\(892\) | −1.44437 | − | 19.2738i | −0.0483611 | − | 0.645333i | ||||
\(893\) | −14.2121 | − | 17.8214i | −0.475590 | − | 0.596371i | ||||
\(894\) | −9.40996 | − | 2.36070i | −0.314716 | − | 0.0789537i | ||||
\(895\) | 8.65723 | − | 22.0583i | 0.289379 | − | 0.737326i | ||||
\(896\) | −58.4330 | + | 89.7995i | −1.95211 | + | 2.99999i | ||||
\(897\) | −9.48964 | − | 20.8346i | −0.316850 | − | 0.695646i | ||||
\(898\) | −7.06006 | − | 94.2100i | −0.235597 | − | 3.14383i | ||||
\(899\) | 2.32035 | − | 2.15297i | 0.0773881 | − | 0.0718056i | ||||
\(900\) | −65.6567 | − | 89.9748i | −2.18856 | − | 2.99916i | ||||
\(901\) | −11.5534 | + | 20.0111i | −0.384901 | + | 0.666667i | ||||
\(902\) | −18.0718 | − | 5.57442i | −0.601726 | − | 0.185608i | ||||
\(903\) | 3.32478 | + | 5.75701i | 0.110642 | + | 0.191581i | ||||
\(904\) | −3.58909 | + | 1.10709i | −0.119372 | + | 0.0368212i | ||||
\(905\) | −17.6857 | + | 77.4859i | −0.587891 | + | 2.57572i | ||||
\(906\) | 0.188881 | + | 0.414688i | 0.00627514 | + | 0.0137771i | ||||
\(907\) | −2.22867 | + | 2.79466i | −0.0740018 | + | 0.0927953i | −0.817454 | − | 0.575993i | \(-0.804615\pi\) |
0.743453 | + | 0.668789i | \(0.233187\pi\) | |||||||
\(908\) | 73.4463 | + | 68.1482i | 2.43740 | + | 2.26158i | ||||
\(909\) | −13.8604 | − | 10.3456i | −0.459722 | − | 0.343141i | ||||
\(910\) | −18.6361 | − | 107.837i | −0.617780 | − | 3.57475i | ||||
\(911\) | −18.0537 | − | 5.56883i | −0.598146 | − | 0.184504i | −0.0191261 | − | 0.999817i | \(-0.506088\pi\) |
−0.579020 | + | 0.815314i | \(0.696565\pi\) | |||||||
\(912\) | 84.5592 | + | 129.914i | 2.80004 | + | 4.30188i | ||||
\(913\) | −1.57386 | + | 2.72601i | −0.0520872 | + | 0.0902177i | ||||
\(914\) | −35.3034 | − | 10.8897i | −1.16773 | − | 0.360198i | ||||
\(915\) | −49.8513 | + | 38.0388i | −1.64803 | + | 1.25752i | ||||
\(916\) | −44.6042 | − | 113.650i | −1.47376 | − | 3.75509i | ||||
\(917\) | 0.537172 | + | 24.9488i | 0.0177390 | + | 0.823882i | ||||
\(918\) | −31.3699 | + | 10.0416i | −1.03536 | + | 0.331423i | ||||
\(919\) | 37.2734 | + | 11.4973i | 1.22953 | + | 0.379261i | 0.840424 | − | 0.541930i | \(-0.182306\pi\) |
0.389111 | + | 0.921191i | \(0.372782\pi\) | |||||||
\(920\) | −61.3987 | − | 76.9916i | −2.02426 | − | 2.53834i | ||||
\(921\) | −5.84390 | − | 45.3346i | −0.192563 | − | 1.49383i | ||||
\(922\) | −27.2418 | + | 34.1602i | −0.897162 | + | 1.12501i | ||||
\(923\) | −23.8540 | − | 16.2634i | −0.785163 | − | 0.535315i | ||||
\(924\) | −56.3545 | − | 8.48675i | −1.85393 | − | 0.279194i | ||||
\(925\) | −17.3130 | + | 11.8038i | −0.569250 | + | 0.388108i | ||||
\(926\) | 3.71505 | − | 49.5739i | 0.122084 | − | 1.62910i | ||||
\(927\) | 28.5948 | + | 21.3435i | 0.939177 | + | 0.701012i | ||||
\(928\) | −27.6636 | − | 18.8607i | −0.908102 | − | 0.619133i | ||||
\(929\) | −7.72430 | + | 19.6812i | −0.253426 | + | 0.645719i | −0.999804 | − | 0.0198033i | \(-0.993696\pi\) |
0.746378 | + | 0.665522i | \(0.231791\pi\) | |||||||
\(930\) | 18.8937 | + | 29.0277i | 0.619549 | + | 0.951855i | ||||
\(931\) | 16.6694 | + | 37.6247i | 0.546318 | + | 1.23310i | ||||
\(932\) | 59.9566 | + | 103.848i | 1.96394 | + | 3.40165i | ||||
\(933\) | −12.7940 | − | 14.3946i | −0.418858 | − | 0.471258i | ||||
\(934\) | 0.255495 | − | 0.123040i | 0.00836005 | − | 0.00402599i | ||||
\(935\) | −17.1590 | + | 5.29284i | −0.561158 | + | 0.173094i | ||||
\(936\) | 107.532 | − | 66.7594i | 3.51479 | − | 2.18210i | ||||
\(937\) | −48.6757 | − | 23.4410i | −1.59016 | − | 0.765783i | −0.591001 | − | 0.806671i | \(-0.701267\pi\) |
−0.999164 | + | 0.0408883i | \(0.986981\pi\) | |||||||
\(938\) | −33.2866 | + | 73.1055i | −1.08685 | + | 2.38698i | ||||
\(939\) | −0.863232 | + | 40.3306i | −0.0281705 | + | 1.31614i | ||||
\(940\) | −45.5605 | + | 57.1311i | −1.48602 | + | 1.86341i | ||||
\(941\) | 2.78851 | − | 1.90117i | 0.0909028 | − | 0.0619765i | −0.517016 | − | 0.855976i | \(-0.672957\pi\) |
0.607918 | + | 0.793999i | \(0.292005\pi\) | |||||||
\(942\) | −2.30155 | + | 6.93123i | −0.0749886 | + | 0.225832i | ||||
\(943\) | 6.71366 | − | 6.22937i | 0.218627 | − | 0.202856i | ||||
\(944\) | 42.1179 | + | 52.8141i | 1.37082 | + | 1.71895i | ||||
\(945\) | 30.9324 | − | 35.5630i | 1.00623 | − | 1.15686i | ||||
\(946\) | −5.60304 | + | 7.02599i | −0.182170 | + | 0.228435i | ||||
\(947\) | −0.843083 | − | 11.2502i | −0.0273965 | − | 0.365581i | −0.994006 | − | 0.109327i | \(-0.965131\pi\) |
0.966609 | − | 0.256254i | \(-0.0824885\pi\) | |||||||
\(948\) | 55.9125 | − | 57.7308i | 1.81595 | − | 1.87501i | ||||
\(949\) | −13.6731 | + | 23.6826i | −0.443849 | + | 0.768768i | ||||
\(950\) | −108.720 | −3.52735 | ||||||||
\(951\) | 38.4717 | + | 9.65152i | 1.24753 | + | 0.312972i | ||||
\(952\) | −58.3771 | + | 5.64077i | −1.89201 | + | 0.182818i | ||||
\(953\) | 2.34651 | − | 10.2808i | 0.0760111 | − | 0.333026i | −0.922597 | − | 0.385764i | \(-0.873938\pi\) |
0.998608 | + | 0.0527382i | \(0.0167949\pi\) | |||||||
\(954\) | 75.3207 | − | 32.3790i | 2.43860 | − | 1.04831i | ||||
\(955\) | 22.8186 | + | 3.43935i | 0.738392 | + | 0.111295i | ||||
\(956\) | −43.3102 | + | 54.3093i | −1.40075 | + | 1.75649i | ||||
\(957\) | 0.990846 | − | 5.73783i | 0.0320295 | − | 0.185478i | ||||
\(958\) | −38.3017 | + | 11.8145i | −1.23747 | + | 0.381710i | ||||
\(959\) | 1.25120 | + | 58.1118i | 0.0404034 | + | 1.87653i | ||||
\(960\) | 129.091 | − | 133.289i | 4.16640 | − | 4.30189i | ||||
\(961\) | 13.2312 | + | 22.9171i | 0.426813 | + | 0.739262i | ||||
\(962\) | −18.7145 | − | 32.4144i | −0.603378 | − | 1.04508i | ||||
\(963\) | 20.8917 | − | 24.0131i | 0.673226 | − | 0.773810i | ||||
\(964\) | −10.7394 | + | 7.32200i | −0.345893 | + | 0.235826i | ||||
\(965\) | −4.25626 | − | 10.8448i | −0.137014 | − | 0.349105i | ||||
\(966\) | 23.4642 | − | 29.4309i | 0.754949 | − | 0.946923i | ||||
\(967\) | −10.2239 | + | 26.0499i | −0.328777 | + | 0.837710i | 0.666928 | + | 0.745122i | \(0.267609\pi\) |
−0.995705 | + | 0.0925874i | \(0.970486\pi\) | |||||||
\(968\) | 12.5319 | + | 54.9059i | 0.402791 | + | 1.76474i | ||||
\(969\) | −7.42884 | + | 22.3723i | −0.238649 | + | 0.718702i | ||||
\(970\) | 39.7472 | + | 19.1412i | 1.27621 | + | 0.614588i | ||||
\(971\) | 7.33720 | + | 18.6949i | 0.235462 | + | 0.599947i | 0.998947 | − | 0.0458781i | \(-0.0146086\pi\) |
−0.763485 | + | 0.645826i | \(0.776513\pi\) | |||||||
\(972\) | 81.0273 | + | 27.8809i | 2.59895 | + | 0.894281i | ||||
\(973\) | 0.0791760 | − | 0.614831i | 0.00253827 | − | 0.0197106i | ||||
\(974\) | −25.4057 | + | 17.3213i | −0.814052 | + | 0.555012i | ||||
\(975\) | −1.10305 | + | 51.5349i | −0.0353258 | + | 1.65044i | ||||
\(976\) | −117.841 | − | 109.340i | −3.77198 | − | 3.49989i | ||||
\(977\) | −1.65063 | + | 22.0261i | −0.0528083 | + | 0.704677i | 0.906480 | + | 0.422249i | \(0.138759\pi\) |
−0.959288 | + | 0.282429i | \(0.908860\pi\) | |||||||
\(978\) | 25.8281 | − | 77.7825i | 0.825891 | − | 2.48721i | ||||
\(979\) | 17.0111 | − | 29.4641i | 0.543677 | − | 0.941676i | ||||
\(980\) | 105.700 | − | 78.9377i | 3.37647 | − | 2.52157i | ||||
\(981\) | −49.8627 | + | 5.34559i | −1.59199 | + | 0.170672i | ||||
\(982\) | 21.4801 | − | 3.23761i | 0.685459 | − | 0.103316i | ||||
\(983\) | −10.2052 | + | 4.91456i | −0.325495 | + | 0.156750i | −0.589494 | − | 0.807773i | \(-0.700673\pi\) |
0.263999 | + | 0.964523i | \(0.414958\pi\) | |||||||
\(984\) | 38.9020 | + | 32.4091i | 1.24015 | + | 1.03317i | ||||
\(985\) | 4.66457 | − | 2.24634i | 0.148626 | − | 0.0715743i | ||||
\(986\) | −0.703907 | − | 9.39298i | −0.0224170 | − | 0.299134i | ||||
\(987\) | −16.0097 | − | 7.70734i | −0.509593 | − | 0.245327i | ||||
\(988\) | 10.6410 | − | 141.994i | 0.338536 | − | 4.51745i | ||||
\(989\) | −1.58993 | − | 4.05109i | −0.0505570 | − | 0.128817i | ||||
\(990\) | 60.0224 | + | 21.3673i | 1.90764 | + | 0.679099i | ||||
\(991\) | 7.15570 | − | 18.2324i | 0.227308 | − | 0.579172i | −0.771030 | − | 0.636799i | \(-0.780258\pi\) |
0.998338 | + | 0.0576267i | \(0.0183533\pi\) | |||||||
\(992\) | −35.1840 | + | 32.6460i | −1.11709 | + | 1.03651i | ||||
\(993\) | 12.8598 | − | 2.64699i | 0.408095 | − | 0.0839998i | ||||
\(994\) | 6.06243 | − | 47.0770i | 0.192289 | − | 1.49319i | ||||
\(995\) | 36.0766 | + | 5.43768i | 1.14371 | + | 0.172386i | ||||
\(996\) | 10.5314 | − | 8.03594i | 0.333701 | − | 0.254629i | ||||
\(997\) | 0.833594 | + | 3.65221i | 0.0264002 | + | 0.115667i | 0.986411 | − | 0.164296i | \(-0.0525351\pi\) |
−0.960011 | + | 0.279962i | \(0.909678\pi\) | |||||||
\(998\) | −38.9811 | − | 67.5172i | −1.23392 | − | 2.13722i | ||||
\(999\) | 5.73010 | − | 15.0677i | 0.181292 | − | 0.476720i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.z.a.142.54 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.54 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.54 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.54 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.54 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.54 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.54 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.54 | yes | 648 | 441.382 | even | 21 | inner |