Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(11,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 44, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.bf (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(1280\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 11.18 | ||
Character | \(\chi\) | \(=\) | 966.11 |
Dual form | 966.2.bf.a.527.18 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.458227 | + | 0.888835i | −0.324015 | + | 0.628502i | ||||
\(3\) | 0.328863 | − | 1.70054i | 0.189869 | − | 0.981809i | ||||
\(4\) | −0.580057 | − | 0.814576i | −0.290028 | − | 0.407288i | ||||
\(5\) | −2.51640 | − | 2.39938i | −1.12537 | − | 1.07303i | −0.996686 | − | 0.0813483i | \(-0.974077\pi\) |
−0.128680 | − | 0.991686i | \(-0.541074\pi\) | |||||||
\(6\) | 1.36081 | + | 1.07154i | 0.555548 | + | 0.437454i | ||||
\(7\) | 2.33268 | − | 1.24844i | 0.881671 | − | 0.471864i | ||||
\(8\) | 0.989821 | − | 0.142315i | 0.349955 | − | 0.0503159i | ||||
\(9\) | −2.78370 | − | 1.11849i | −0.927899 | − | 0.372831i | ||||
\(10\) | 3.28573 | − | 1.13720i | 1.03904 | − | 0.359615i | ||||
\(11\) | 2.95857 | − | 1.52525i | 0.892042 | − | 0.459879i | 0.0496632 | − | 0.998766i | \(-0.484185\pi\) |
0.842378 | + | 0.538887i | \(0.181155\pi\) | |||||||
\(12\) | −1.57598 | + | 0.718528i | −0.454947 | + | 0.207421i | ||||
\(13\) | 3.05399 | − | 3.52449i | 0.847025 | − | 0.977519i | −0.152918 | − | 0.988239i | \(-0.548867\pi\) |
0.999943 | + | 0.0107202i | \(0.00341242\pi\) | |||||||
\(14\) | 0.0407567 | + | 2.64544i | 0.0108927 | + | 0.707023i | ||||
\(15\) | −4.90780 | + | 3.49017i | −1.26719 | + | 0.901159i | ||||
\(16\) | −0.327068 | + | 0.945001i | −0.0817670 | + | 0.236250i | ||||
\(17\) | −2.92867 | − | 0.279654i | −0.710306 | − | 0.0678260i | −0.266352 | − | 0.963876i | \(-0.585818\pi\) |
−0.443954 | + | 0.896050i | \(0.646424\pi\) | |||||||
\(18\) | 2.26972 | − | 1.96173i | 0.534978 | − | 0.462383i | ||||
\(19\) | −0.0176697 | − | 0.185046i | −0.00405371 | − | 0.0424524i | 0.993219 | − | 0.116261i | \(-0.0370908\pi\) |
−0.997272 | + | 0.0738083i | \(0.976485\pi\) | |||||||
\(20\) | −0.494823 | + | 3.44157i | −0.110646 | + | 0.769559i | ||||
\(21\) | −1.35589 | − | 4.37739i | −0.295879 | − | 0.955226i | ||||
\(22\) | 3.32859i | 0.709657i | ||||||||
\(23\) | 3.96315 | − | 2.70064i | 0.826374 | − | 0.563122i | ||||
\(24\) | 0.0835032 | − | 1.73004i | 0.0170450 | − | 0.353142i | ||||
\(25\) | 0.337321 | + | 7.08123i | 0.0674641 | + | 1.41625i | ||||
\(26\) | 1.73328 | + | 4.32951i | 0.339923 | + | 0.849087i | ||||
\(27\) | −2.81750 | + | 4.36597i | −0.542228 | + | 0.840231i | ||||
\(28\) | −2.37003 | − | 1.17598i | −0.447894 | − | 0.222240i | ||||
\(29\) | −7.21934 | + | 3.29696i | −1.34060 | + | 0.612230i | −0.951125 | − | 0.308807i | \(-0.900070\pi\) |
−0.389473 | + | 0.921038i | \(0.627343\pi\) | |||||||
\(30\) | −0.853307 | − | 5.96151i | −0.155792 | − | 1.08842i | ||||
\(31\) | 3.44796 | + | 1.38035i | 0.619272 | + | 0.247919i | 0.660017 | − | 0.751251i | \(-0.270549\pi\) |
−0.0407453 | + | 0.999170i | \(0.512973\pi\) | |||||||
\(32\) | −0.690079 | − | 0.723734i | −0.121990 | − | 0.127939i | ||||
\(33\) | −1.62079 | − | 5.53277i | −0.282143 | − | 0.963132i | ||||
\(34\) | 1.59056 | − | 2.47496i | 0.272779 | − | 0.424452i | ||||
\(35\) | −8.86542 | − | 2.45543i | −1.49853 | − | 0.415043i | ||||
\(36\) | 0.703606 | + | 2.91632i | 0.117268 | + | 0.486054i | ||||
\(37\) | −6.79708 | + | 1.64895i | −1.11743 | + | 0.271086i | −0.751616 | − | 0.659600i | \(-0.770726\pi\) |
−0.365817 | + | 0.930687i | \(0.619210\pi\) | |||||||
\(38\) | 0.172572 | + | 0.0690873i | 0.0279948 | + | 0.0112074i | ||||
\(39\) | −4.98921 | − | 6.35252i | −0.798913 | − | 1.01722i | ||||
\(40\) | −2.83225 | − | 2.01684i | −0.447818 | − | 0.318890i | ||||
\(41\) | −0.767277 | − | 2.61310i | −0.119828 | − | 0.408098i | 0.877631 | − | 0.479337i | \(-0.159123\pi\) |
−0.997459 | + | 0.0712389i | \(0.977305\pi\) | |||||||
\(42\) | 4.51209 | + | 0.800678i | 0.696230 | + | 0.123547i | ||||
\(43\) | 11.4280 | + | 1.64310i | 1.74276 | + | 0.250571i | 0.938885 | − | 0.344230i | \(-0.111860\pi\) |
0.803873 | + | 0.594801i | \(0.202769\pi\) | |||||||
\(44\) | −2.95857 | − | 1.52525i | −0.446021 | − | 0.229940i | ||||
\(45\) | 4.32120 | + | 9.49371i | 0.644166 | + | 1.41524i | ||||
\(46\) | 0.584401 | + | 4.76009i | 0.0861653 | + | 0.701837i | ||||
\(47\) | 4.05703 | − | 2.34233i | 0.591779 | − | 0.341664i | −0.174021 | − | 0.984742i | \(-0.555676\pi\) |
0.765801 | + | 0.643078i | \(0.222343\pi\) | |||||||
\(48\) | 1.49945 | + | 0.866969i | 0.216428 | + | 0.125136i | ||||
\(49\) | 3.88282 | − | 5.82441i | 0.554688 | − | 0.832058i | ||||
\(50\) | −6.44862 | − | 2.94498i | −0.911972 | − | 0.416484i | ||||
\(51\) | −1.43869 | + | 4.88836i | −0.201457 | + | 0.684507i | ||||
\(52\) | −4.64246 | − | 0.443301i | −0.643793 | − | 0.0614748i | ||||
\(53\) | −11.2664 | + | 2.17142i | −1.54756 | + | 0.298268i | −0.890292 | − | 0.455390i | \(-0.849500\pi\) |
−0.657267 | + | 0.753657i | \(0.728288\pi\) | |||||||
\(54\) | −2.58957 | − | 4.50490i | −0.352397 | − | 0.613039i | ||||
\(55\) | −11.1046 | − | 3.26060i | −1.49734 | − | 0.439659i | ||||
\(56\) | 2.13127 | − | 1.56770i | 0.284803 | − | 0.209493i | ||||
\(57\) | −0.320489 | − | 0.0308066i | −0.0424498 | − | 0.00408043i | ||||
\(58\) | 0.377636 | − | 7.92756i | 0.0495861 | − | 1.04094i | ||||
\(59\) | −5.87256 | + | 2.03251i | −0.764543 | + | 0.264611i | −0.681385 | − | 0.731926i | \(-0.738622\pi\) |
−0.0831580 | + | 0.996536i | \(0.526501\pi\) | |||||||
\(60\) | 5.68981 | + | 1.97327i | 0.734552 | + | 0.254749i | ||||
\(61\) | −7.04748 | − | 8.96160i | −0.902337 | − | 1.14742i | −0.988513 | − | 0.151135i | \(-0.951707\pi\) |
0.0861759 | − | 0.996280i | \(-0.472535\pi\) | |||||||
\(62\) | −2.80685 | + | 2.43215i | −0.356471 | + | 0.308884i | ||||
\(63\) | −7.88985 | + | 0.866180i | −0.994028 | + | 0.109128i | ||||
\(64\) | 0.959493 | − | 0.281733i | 0.119937 | − | 0.0352166i | ||||
\(65\) | −16.1416 | + | 1.54134i | −2.00212 | + | 0.191180i | ||||
\(66\) | 5.66041 | + | 1.09465i | 0.696748 | + | 0.134742i | ||||
\(67\) | −5.60202 | + | 0.266857i | −0.684396 | + | 0.0326018i | −0.386900 | − | 0.922121i | \(-0.626454\pi\) |
−0.297495 | + | 0.954723i | \(0.596151\pi\) | |||||||
\(68\) | 1.47099 | + | 2.54784i | 0.178384 | + | 0.308970i | ||||
\(69\) | −3.28922 | − | 7.62765i | −0.395975 | − | 0.918261i | ||||
\(70\) | 6.24484 | − | 6.75476i | 0.746402 | − | 0.807348i | ||||
\(71\) | −2.55365 | − | 3.97355i | −0.303062 | − | 0.471574i | 0.656004 | − | 0.754758i | \(-0.272246\pi\) |
−0.959066 | + | 0.283184i | \(0.908609\pi\) | |||||||
\(72\) | −2.91454 | − | 0.710946i | −0.343482 | − | 0.0837858i | ||||
\(73\) | 4.56906 | + | 6.41634i | 0.534768 | + | 0.750976i | 0.990255 | − | 0.139266i | \(-0.0444744\pi\) |
−0.455487 | + | 0.890242i | \(0.650535\pi\) | |||||||
\(74\) | 1.64895 | − | 6.79708i | 0.191687 | − | 0.790145i | ||||
\(75\) | 12.1529 | + | 1.75513i | 1.40329 | + | 0.202665i | ||||
\(76\) | −0.140484 | + | 0.121730i | −0.0161146 | + | 0.0139634i | ||||
\(77\) | 4.99723 | − | 7.25150i | 0.569487 | − | 0.826385i | ||||
\(78\) | 7.93254 | − | 1.52369i | 0.898183 | − | 0.172524i | ||||
\(79\) | −1.48534 | + | 7.70669i | −0.167114 | + | 0.867070i | 0.797483 | + | 0.603342i | \(0.206164\pi\) |
−0.964597 | + | 0.263729i | \(0.915048\pi\) | |||||||
\(80\) | 3.09045 | − | 1.59324i | 0.345522 | − | 0.178129i | ||||
\(81\) | 6.49795 | + | 6.22709i | 0.721994 | + | 0.691899i | ||||
\(82\) | 2.67421 | + | 0.515411i | 0.295317 | + | 0.0569176i | ||||
\(83\) | 6.13693 | + | 1.80197i | 0.673616 | + | 0.197792i | 0.600613 | − | 0.799540i | \(-0.294923\pi\) |
0.0730035 | + | 0.997332i | \(0.476742\pi\) | |||||||
\(84\) | −2.77923 | + | 3.64361i | −0.303239 | + | 0.397550i | ||||
\(85\) | 6.69869 | + | 7.73070i | 0.726574 | + | 0.838512i | ||||
\(86\) | −6.69708 | + | 9.40473i | −0.722164 | + | 1.01414i | ||||
\(87\) | 3.23245 | + | 13.3611i | 0.346555 | + | 1.43246i | ||||
\(88\) | 2.71139 | − | 1.93077i | 0.289035 | − | 0.205821i | ||||
\(89\) | 3.59044 | − | 1.43740i | 0.380586 | − | 0.152364i | −0.173478 | − | 0.984838i | \(-0.555501\pi\) |
0.554064 | + | 0.832474i | \(0.313076\pi\) | |||||||
\(90\) | −10.4184 | − | 0.509436i | −1.09820 | − | 0.0536993i | ||||
\(91\) | 2.72389 | − | 12.0342i | 0.285541 | − | 1.26153i | ||||
\(92\) | −4.49873 | − | 1.66176i | −0.469025 | − | 0.173251i | ||||
\(93\) | 3.48126 | − | 5.40946i | 0.360990 | − | 0.560935i | ||||
\(94\) | 0.222905 | + | 4.67935i | 0.0229909 | + | 0.482638i | ||||
\(95\) | −0.399530 | + | 0.508044i | −0.0409909 | + | 0.0521242i | ||||
\(96\) | −1.45768 | + | 0.935500i | −0.148774 | + | 0.0954791i | ||||
\(97\) | −2.86459 | − | 9.75590i | −0.290855 | − | 0.990562i | −0.967208 | − | 0.253984i | \(-0.918259\pi\) |
0.676353 | − | 0.736577i | \(-0.263559\pi\) | |||||||
\(98\) | 3.39773 | + | 6.12008i | 0.343223 | + | 0.618222i | ||||
\(99\) | −9.94173 | + | 0.936694i | −0.999182 | + | 0.0941412i | ||||
\(100\) | 5.57253 | − | 4.38229i | 0.557253 | − | 0.438229i | ||||
\(101\) | 0.139658 | + | 0.146469i | 0.0138965 | + | 0.0145742i | 0.730646 | − | 0.682757i | \(-0.239219\pi\) |
−0.716749 | + | 0.697331i | \(0.754371\pi\) | |||||||
\(102\) | −3.68570 | − | 3.51874i | −0.364938 | − | 0.348407i | ||||
\(103\) | 13.0288 | + | 0.620640i | 1.28377 | + | 0.0611535i | 0.678342 | − | 0.734747i | \(-0.262699\pi\) |
0.605428 | + | 0.795900i | \(0.293002\pi\) | |||||||
\(104\) | 2.52132 | − | 3.92325i | 0.247236 | − | 0.384706i | ||||
\(105\) | −7.09108 | + | 14.2685i | −0.692018 | + | 1.39247i | ||||
\(106\) | 3.23253 | − | 11.0090i | 0.313971 | − | 1.06929i | ||||
\(107\) | −12.5430 | + | 9.86392i | −1.21258 | + | 0.953582i | −0.999724 | − | 0.0235025i | \(-0.992518\pi\) |
−0.212854 | + | 0.977084i | \(0.568276\pi\) | |||||||
\(108\) | 5.19072 | − | 0.237442i | 0.499478 | − | 0.0228479i | ||||
\(109\) | −0.637282 | + | 6.67392i | −0.0610406 | + | 0.639246i | 0.912245 | + | 0.409646i | \(0.134348\pi\) |
−0.973285 | + | 0.229600i | \(0.926258\pi\) | |||||||
\(110\) | 7.98654 | − | 8.37604i | 0.761487 | − | 0.798624i | ||||
\(111\) | 0.568809 | + | 12.1010i | 0.0539890 | + | 1.14858i | ||||
\(112\) | 0.416827 | + | 2.61271i | 0.0393864 | + | 0.246878i | ||||
\(113\) | 12.5734 | − | 8.08042i | 1.18280 | − | 0.760142i | 0.206904 | − | 0.978361i | \(-0.433661\pi\) |
0.975900 | + | 0.218220i | \(0.0700249\pi\) | |||||||
\(114\) | 0.174239 | − | 0.270746i | 0.0163189 | − | 0.0253576i | ||||
\(115\) | −16.4527 | − | 2.71323i | −1.53422 | − | 0.253010i | ||||
\(116\) | 6.87325 | + | 3.96827i | 0.638166 | + | 0.368445i | ||||
\(117\) | −12.4435 | + | 6.39526i | −1.15040 | + | 0.591242i | ||||
\(118\) | 0.884394 | − | 6.15109i | 0.0814150 | − | 0.566254i | ||||
\(119\) | −7.18078 | + | 3.00391i | −0.658261 | + | 0.275368i | ||||
\(120\) | −4.36114 | + | 4.15310i | −0.398116 | + | 0.379124i | ||||
\(121\) | 0.0461135 | − | 0.0647573i | 0.00419213 | − | 0.00588703i | ||||
\(122\) | 11.1947 | − | 2.15761i | 1.01352 | − | 0.195341i | ||||
\(123\) | −4.69603 | + | 0.445434i | −0.423427 | + | 0.0401634i | ||||
\(124\) | −0.875609 | − | 3.60931i | −0.0786320 | − | 0.324126i | ||||
\(125\) | 4.75709 | − | 5.48997i | 0.425487 | − | 0.491038i | ||||
\(126\) | 2.84545 | − | 7.40968i | 0.253493 | − | 0.660107i | ||||
\(127\) | 9.53215 | + | 6.12594i | 0.845842 | + | 0.543590i | 0.890275 | − | 0.455423i | \(-0.150512\pi\) |
−0.0444333 | + | 0.999012i | \(0.514148\pi\) | |||||||
\(128\) | −0.189251 | + | 0.981929i | −0.0167276 | + | 0.0867911i | ||||
\(129\) | 6.55243 | − | 18.8935i | 0.576909 | − | 1.66348i | ||||
\(130\) | 6.02653 | − | 15.0535i | 0.528562 | − | 1.32028i | ||||
\(131\) | 10.3555 | + | 3.58409i | 0.904768 | + | 0.313143i | 0.739540 | − | 0.673112i | \(-0.235043\pi\) |
0.165228 | + | 0.986255i | \(0.447164\pi\) | |||||||
\(132\) | −3.56671 | + | 4.52958i | −0.310443 | + | 0.394249i | ||||
\(133\) | −0.272235 | − | 0.409593i | −0.0236058 | − | 0.0355162i | ||||
\(134\) | 2.32980 | − | 5.10156i | 0.201264 | − | 0.440707i | ||||
\(135\) | 17.5656 | − | 4.22626i | 1.51180 | − | 0.363738i | ||||
\(136\) | −2.93866 | + | 0.139985i | −0.251988 | + | 0.0120036i | ||||
\(137\) | 2.77281 | − | 4.80264i | 0.236897 | − | 0.410317i | −0.722925 | − | 0.690926i | \(-0.757203\pi\) |
0.959822 | + | 0.280609i | \(0.0905363\pi\) | |||||||
\(138\) | 8.28693 | + | 0.571619i | 0.705431 | + | 0.0486594i | ||||
\(139\) | −1.26868 | −0.107608 | −0.0538042 | − | 0.998552i | \(-0.517135\pi\) | ||||
−0.0538042 | + | 0.998552i | \(0.517135\pi\) | |||||||
\(140\) | 3.14231 | + | 8.64585i | 0.265574 | + | 0.730707i | ||||
\(141\) | −2.64903 | − | 7.66947i | −0.223088 | − | 0.645886i | ||||
\(142\) | 4.70198 | − | 0.448985i | 0.394581 | − | 0.0376780i | ||||
\(143\) | 3.65971 | − | 15.0855i | 0.306041 | − | 1.26152i | ||||
\(144\) | 1.96743 | − | 2.26477i | 0.163953 | − | 0.188731i | ||||
\(145\) | 26.0774 | + | 9.02546i | 2.16561 | + | 0.749524i | ||||
\(146\) | −7.79673 | + | 1.12100i | −0.645262 | + | 0.0927747i | ||||
\(147\) | −8.62775 | − | 8.51833i | −0.711604 | − | 0.702580i | ||||
\(148\) | 5.28589 | + | 4.58025i | 0.434498 | + | 0.376494i | ||||
\(149\) | 0.0651669 | − | 1.36802i | 0.00533868 | − | 0.112073i | −0.994625 | − | 0.103543i | \(-0.966982\pi\) |
0.999964 | − | 0.00852933i | \(-0.00271500\pi\) | |||||||
\(150\) | −7.12879 | + | 9.99766i | −0.582063 | + | 0.816305i | ||||
\(151\) | −1.72158 | − | 4.97418i | −0.140100 | − | 0.404793i | 0.853022 | − | 0.521875i | \(-0.174767\pi\) |
−0.993122 | + | 0.117082i | \(0.962646\pi\) | |||||||
\(152\) | −0.0438246 | − | 0.180647i | −0.00355464 | − | 0.0146524i | ||||
\(153\) | 7.83973 | + | 4.05416i | 0.633805 | + | 0.327760i | ||||
\(154\) | 4.15553 | + | 7.76454i | 0.334862 | + | 0.625684i | ||||
\(155\) | −5.36444 | − | 11.7465i | −0.430882 | − | 0.943500i | ||||
\(156\) | −2.28059 | + | 7.74892i | −0.182593 | + | 0.620410i | ||||
\(157\) | 3.49067 | − | 2.48570i | 0.278586 | − | 0.198380i | −0.432220 | − | 0.901768i | \(-0.642270\pi\) |
0.710806 | + | 0.703388i | \(0.248330\pi\) | |||||||
\(158\) | −6.16936 | − | 4.85163i | −0.490808 | − | 0.385975i | ||||
\(159\) | −0.0125079 | + | 19.8731i | −0.000991942 | + | 1.57604i | ||||
\(160\) | 3.47696i | 0.274878i | ||||||||
\(161\) | 5.87320 | − | 11.2475i | 0.462873 | − | 0.886425i | ||||
\(162\) | −8.51239 | + | 2.92219i | −0.668797 | + | 0.229589i | ||||
\(163\) | −19.4090 | − | 10.0060i | −1.52023 | − | 0.783732i | −0.522601 | − | 0.852577i | \(-0.675038\pi\) |
−0.997627 | + | 0.0688449i | \(0.978069\pi\) | |||||||
\(164\) | −1.68351 | + | 2.14075i | −0.131460 | + | 0.167165i | ||||
\(165\) | −9.19667 | + | 17.8115i | −0.715960 | + | 1.38662i | ||||
\(166\) | −4.41376 | + | 4.62902i | −0.342574 | + | 0.359281i | ||||
\(167\) | 19.5032 | − | 8.90679i | 1.50920 | − | 0.689228i | 0.522628 | − | 0.852561i | \(-0.324952\pi\) |
0.986571 | + | 0.163332i | \(0.0522243\pi\) | |||||||
\(168\) | −1.96505 | − | 4.13988i | −0.151607 | − | 0.319398i | ||||
\(169\) | −1.24510 | − | 8.65987i | −0.0957770 | − | 0.666144i | ||||
\(170\) | −9.94083 | + | 2.41162i | −0.762427 | + | 0.184963i | ||||
\(171\) | −0.157785 | + | 0.534874i | −0.0120661 | + | 0.0409029i | ||||
\(172\) | −5.29048 | − | 10.2621i | −0.403395 | − | 0.782477i | ||||
\(173\) | 16.8806 | + | 0.804122i | 1.28341 | + | 0.0611363i | 0.678168 | − | 0.734907i | \(-0.262774\pi\) |
0.605240 | + | 0.796043i | \(0.293077\pi\) | |||||||
\(174\) | −13.3570 | − | 3.24927i | −1.01259 | − | 0.246326i | ||||
\(175\) | 9.62732 | + | 16.0971i | 0.727757 | + | 1.21683i | ||||
\(176\) | 0.473707 | + | 3.29471i | 0.0357070 | + | 0.248348i | ||||
\(177\) | 1.52511 | + | 10.6550i | 0.114634 | + | 0.800877i | ||||
\(178\) | −0.367627 | + | 3.84996i | −0.0275548 | + | 0.288567i | ||||
\(179\) | 18.9061 | + | 4.58657i | 1.41311 | + | 0.342817i | 0.868423 | − | 0.495823i | \(-0.165134\pi\) |
0.544686 | + | 0.838640i | \(0.316649\pi\) | |||||||
\(180\) | 5.22681 | − | 9.02684i | 0.389583 | − | 0.672821i | ||||
\(181\) | −6.29039 | − | 0.904422i | −0.467561 | − | 0.0672252i | −0.0954921 | − | 0.995430i | \(-0.530442\pi\) |
−0.372069 | + | 0.928205i | \(0.621352\pi\) | |||||||
\(182\) | 9.44830 | + | 7.93550i | 0.700354 | + | 0.588218i | ||||
\(183\) | −17.5572 | + | 9.03741i | −1.29787 | + | 0.668064i | ||||
\(184\) | 3.53847 | − | 3.23716i | 0.260859 | − | 0.238647i | ||||
\(185\) | 21.0606 | + | 12.1593i | 1.54841 | + | 0.893973i | ||||
\(186\) | 3.21291 | + | 5.57303i | 0.235582 | + | 0.408634i | ||||
\(187\) | −9.09120 | + | 3.63957i | −0.664814 | + | 0.266151i | ||||
\(188\) | −4.26132 | − | 1.94608i | −0.310788 | − | 0.141932i | ||||
\(189\) | −1.12170 | + | 13.7019i | −0.0815920 | + | 0.996666i | ||||
\(190\) | −0.268492 | − | 0.587916i | −0.0194785 | − | 0.0426519i | ||||
\(191\) | 6.57616 | − | 19.0006i | 0.475834 | − | 1.37483i | −0.410531 | − | 0.911847i | \(-0.634657\pi\) |
0.886365 | − | 0.462987i | \(-0.153222\pi\) | |||||||
\(192\) | −0.163557 | − | 1.72431i | −0.0118037 | − | 0.124441i | ||||
\(193\) | −9.38024 | + | 8.94404i | −0.675205 | + | 0.643806i | −0.948002 | − | 0.318265i | \(-0.896900\pi\) |
0.272797 | + | 0.962072i | \(0.412051\pi\) | |||||||
\(194\) | 9.98402 | + | 1.92426i | 0.716811 | + | 0.138154i | ||||
\(195\) | −2.68727 | + | 27.9565i | −0.192440 | + | 2.00200i | ||||
\(196\) | −6.99668 | + | 0.215639i | −0.499763 | + | 0.0154028i | ||||
\(197\) | 1.69915 | + | 1.47233i | 0.121060 | + | 0.104899i | 0.713287 | − | 0.700872i | \(-0.247206\pi\) |
−0.592227 | + | 0.805771i | \(0.701751\pi\) | |||||||
\(198\) | 3.72300 | − | 9.26578i | 0.264582 | − | 0.658491i | ||||
\(199\) | 7.46645 | − | 18.6503i | 0.529282 | − | 1.32208i | −0.387195 | − | 0.921998i | \(-0.626556\pi\) |
0.916478 | − | 0.400086i | \(-0.131020\pi\) | |||||||
\(200\) | 1.34165 | + | 6.96115i | 0.0948691 | + | 0.492227i | ||||
\(201\) | −1.38850 | + | 9.61424i | −0.0979369 | + | 0.678136i | ||||
\(202\) | −0.194182 | + | 0.0570170i | −0.0136626 | + | 0.00401170i | ||||
\(203\) | −12.7244 | + | 16.7036i | −0.893077 | + | 1.17237i | ||||
\(204\) | 4.81646 | − | 1.66360i | 0.337220 | − | 0.116475i | ||||
\(205\) | −4.33905 | + | 8.41659i | −0.303053 | + | 0.587840i | ||||
\(206\) | −6.52181 | + | 11.2961i | −0.454396 | + | 0.787037i | ||||
\(207\) | −14.0529 | + | 3.08501i | −0.976741 | + | 0.214423i | ||||
\(208\) | 2.33179 | + | 4.03877i | 0.161680 | + | 0.280039i | ||||
\(209\) | −0.334517 | − | 0.520519i | −0.0231390 | − | 0.0360051i | ||||
\(210\) | −9.43306 | − | 12.8410i | −0.650943 | − | 0.886115i | ||||
\(211\) | −0.745468 | + | 1.63235i | −0.0513201 | + | 0.112375i | −0.933555 | − | 0.358434i | \(-0.883311\pi\) |
0.882235 | + | 0.470809i | \(0.156038\pi\) | |||||||
\(212\) | 8.30394 | + | 7.91779i | 0.570317 | + | 0.543796i | ||||
\(213\) | −7.59699 | + | 3.03583i | −0.520538 | + | 0.208012i | ||||
\(214\) | −3.01987 | − | 15.6686i | −0.206434 | − | 1.07108i | ||||
\(215\) | −24.8150 | − | 31.5549i | −1.69237 | − | 2.15202i | ||||
\(216\) | −2.16748 | + | 4.72250i | −0.147478 | + | 0.321326i | ||||
\(217\) | 9.76628 | − | 1.08463i | 0.662978 | − | 0.0736292i | ||||
\(218\) | −5.64000 | − | 3.62461i | −0.381989 | − | 0.245489i | ||||
\(219\) | 12.4139 | − | 5.65978i | 0.838851 | − | 0.382453i | ||||
\(220\) | 3.78528 | + | 10.9368i | 0.255203 | + | 0.737362i | ||||
\(221\) | −9.92976 | + | 9.46800i | −0.667948 | + | 0.636887i | ||||
\(222\) | −11.0165 | − | 5.03943i | −0.739376 | − | 0.338224i | ||||
\(223\) | −10.9654 | − | 12.6547i | −0.734298 | − | 0.847425i | 0.258651 | − | 0.965971i | \(-0.416722\pi\) |
−0.992949 | + | 0.118546i | \(0.962177\pi\) | |||||||
\(224\) | −2.51327 | − | 0.826723i | −0.167925 | − | 0.0552377i | ||||
\(225\) | 6.98130 | − | 20.0893i | 0.465420 | − | 1.33929i | ||||
\(226\) | 1.42071 | + | 14.8783i | 0.0945041 | + | 0.989691i | ||||
\(227\) | 4.92424 | + | 3.87246i | 0.326833 | + | 0.257024i | 0.768069 | − | 0.640367i | \(-0.221218\pi\) |
−0.441236 | + | 0.897391i | \(0.645460\pi\) | |||||||
\(228\) | 0.160808 | + | 0.278932i | 0.0106497 | + | 0.0184727i | ||||
\(229\) | 17.4757 | − | 10.0896i | 1.15483 | − | 0.666741i | 0.204769 | − | 0.978810i | \(-0.434356\pi\) |
0.950059 | + | 0.312070i | \(0.101022\pi\) | |||||||
\(230\) | 9.95067 | − | 13.3805i | 0.656128 | − | 0.882282i | ||||
\(231\) | −10.6881 | − | 10.8828i | −0.703224 | − | 0.716032i | ||||
\(232\) | −6.67665 | + | 4.29082i | −0.438344 | + | 0.281706i | ||||
\(233\) | 4.18511 | + | 10.4539i | 0.274176 | + | 0.684858i | 0.999995 | − | 0.00302703i | \(-0.000963534\pi\) |
−0.725820 | + | 0.687885i | \(0.758539\pi\) | |||||||
\(234\) | 0.0176112 | − | 13.9907i | 0.00115128 | − | 0.914601i | ||||
\(235\) | −15.8292 | − | 3.84013i | −1.03259 | − | 0.250503i | ||||
\(236\) | 5.06206 | + | 3.60467i | 0.329512 | + | 0.234644i | ||||
\(237\) | 12.6171 | + | 5.06034i | 0.819568 | + | 0.328704i | ||||
\(238\) | 0.620444 | − | 7.75900i | 0.0402174 | − | 0.502941i | ||||
\(239\) | −1.16542 | + | 3.96905i | −0.0753847 | + | 0.256737i | −0.988559 | − | 0.150831i | \(-0.951805\pi\) |
0.913175 | + | 0.407568i | \(0.133623\pi\) | |||||||
\(240\) | −1.69303 | − | 5.77940i | −0.109285 | − | 0.373058i | ||||
\(241\) | 8.73114 | + | 16.9360i | 0.562422 | + | 1.09095i | 0.982985 | + | 0.183683i | \(0.0588021\pi\) |
−0.420564 | + | 0.907263i | \(0.638168\pi\) | |||||||
\(242\) | 0.0364282 | + | 0.0706608i | 0.00234169 | + | 0.00454225i | ||||
\(243\) | 12.7264 | − | 9.00219i | 0.816397 | − | 0.577491i | ||||
\(244\) | −3.21196 | + | 10.9389i | −0.205625 | + | 0.700294i | ||||
\(245\) | −23.7457 | + | 5.34017i | −1.51705 | + | 0.341171i | ||||
\(246\) | 1.75593 | − | 4.37811i | 0.111954 | − | 0.279138i | ||||
\(247\) | −0.706155 | − | 0.502851i | −0.0449316 | − | 0.0319956i | ||||
\(248\) | 3.60931 | + | 0.875609i | 0.229191 | + | 0.0556012i | ||||
\(249\) | 5.08253 | − | 9.84353i | 0.322093 | − | 0.623808i | ||||
\(250\) | 2.69986 | + | 6.74392i | 0.170754 | + | 0.426523i | ||||
\(251\) | −22.2782 | + | 14.3173i | −1.40619 | + | 0.903701i | −0.999949 | − | 0.0100663i | \(-0.996796\pi\) |
−0.406237 | + | 0.913768i | \(0.633159\pi\) | |||||||
\(252\) | 5.28213 | + | 5.92445i | 0.332743 | + | 0.373205i | ||||
\(253\) | 7.60611 | − | 14.0348i | 0.478192 | − | 0.882360i | ||||
\(254\) | −9.81284 | + | 5.66545i | −0.615712 | + | 0.355482i | ||||
\(255\) | 15.3493 | − | 8.84907i | 0.961213 | − | 0.554150i | ||||
\(256\) | −0.786053 | − | 0.618159i | −0.0491283 | − | 0.0386349i | ||||
\(257\) | 0.856002 | + | 8.96446i | 0.0533959 | + | 0.559187i | 0.982099 | + | 0.188364i | \(0.0603185\pi\) |
−0.928703 | + | 0.370823i | \(0.879075\pi\) | |||||||
\(258\) | 13.7907 | + | 14.4815i | 0.858573 | + | 0.901581i | ||||
\(259\) | −13.7968 | + | 12.3322i | −0.857293 | + | 0.766286i | ||||
\(260\) | 10.6186 | + | 12.2545i | 0.658538 | + | 0.759994i | ||||
\(261\) | 23.7841 | − | 1.10297i | 1.47220 | − | 0.0682722i | ||||
\(262\) | −7.93085 | + | 7.56205i | −0.489970 | + | 0.467185i | ||||
\(263\) | 5.83496 | + | 16.8590i | 0.359799 | + | 1.03957i | 0.969108 | + | 0.246637i | \(0.0793257\pi\) |
−0.609309 | + | 0.792933i | \(0.708553\pi\) | |||||||
\(264\) | −2.39168 | − | 5.24579i | −0.147198 | − | 0.322856i | ||||
\(265\) | 33.5608 | + | 21.5682i | 2.06162 | + | 1.32492i | ||||
\(266\) | 0.488806 | − | 0.0542860i | 0.0299706 | − | 0.00332849i | ||||
\(267\) | −1.26359 | − | 6.57841i | −0.0773305 | − | 0.402592i | ||||
\(268\) | 3.46687 | + | 4.40848i | 0.211773 | + | 0.269291i | ||||
\(269\) | 1.47362 | + | 7.64588i | 0.0898484 | + | 0.466178i | 0.998787 | + | 0.0492468i | \(0.0156821\pi\) |
−0.908938 | + | 0.416931i | \(0.863106\pi\) | |||||||
\(270\) | −4.29256 | + | 17.5495i | −0.261237 | + | 1.06803i | ||||
\(271\) | −10.9917 | − | 10.4805i | −0.667697 | − | 0.636647i | 0.278425 | − | 0.960458i | \(-0.410188\pi\) |
−0.946122 | + | 0.323810i | \(0.895036\pi\) | |||||||
\(272\) | 1.22215 | − | 2.67613i | 0.0741035 | − | 0.162264i | ||||
\(273\) | −19.5690 | − | 8.58971i | −1.18437 | − | 0.519873i | ||||
\(274\) | 2.99819 | + | 4.66527i | 0.181127 | + | 0.281839i | ||||
\(275\) | 11.7986 | + | 20.4358i | 0.711483 | + | 1.23232i | ||||
\(276\) | −4.30537 | + | 7.10379i | −0.259153 | + | 0.427598i | ||||
\(277\) | −7.85610 | + | 13.6072i | −0.472027 | + | 0.817575i | −0.999488 | − | 0.0320043i | \(-0.989811\pi\) |
0.527460 | + | 0.849580i | \(0.323144\pi\) | |||||||
\(278\) | 0.581344 | − | 1.12765i | 0.0348667 | − | 0.0676320i | ||||
\(279\) | −8.05416 | − | 7.69901i | −0.482190 | − | 0.460928i | ||||
\(280\) | −9.12463 | − | 1.16876i | −0.545301 | − | 0.0698466i | ||||
\(281\) | 13.4689 | − | 3.95482i | 0.803486 | − | 0.235925i | 0.145895 | − | 0.989300i | \(-0.453394\pi\) |
0.657591 | + | 0.753375i | \(0.271576\pi\) | |||||||
\(282\) | 8.03075 | + | 1.15981i | 0.478224 | + | 0.0690655i | ||||
\(283\) | −6.17492 | − | 32.0385i | −0.367061 | − | 1.90449i | −0.423139 | − | 0.906065i | \(-0.639072\pi\) |
0.0560782 | − | 0.998426i | \(-0.482140\pi\) | |||||||
\(284\) | −1.75550 | + | 4.38502i | −0.104170 | + | 0.260203i | ||||
\(285\) | 0.732560 | + | 0.846496i | 0.0433931 | + | 0.0501421i | ||||
\(286\) | 11.7316 | + | 10.1655i | 0.693703 | + | 0.601097i | ||||
\(287\) | −5.05211 | − | 5.13765i | −0.298216 | − | 0.303266i | ||||
\(288\) | 1.11148 | + | 2.78651i | 0.0654946 | + | 0.164196i | ||||
\(289\) | −8.19391 | − | 1.57925i | −0.481995 | − | 0.0928969i | ||||
\(290\) | −19.9715 | + | 19.0428i | −1.17277 | + | 1.11823i | ||||
\(291\) | −17.5324 | + | 1.66301i | −1.02777 | + | 0.0974871i | ||||
\(292\) | 2.57629 | − | 7.44369i | 0.150766 | − | 0.435609i | ||||
\(293\) | −6.88312 | − | 15.0719i | −0.402116 | − | 0.880511i | −0.997051 | − | 0.0767375i | \(-0.975550\pi\) |
0.594935 | − | 0.803774i | \(-0.297178\pi\) | |||||||
\(294\) | 11.5249 | − | 3.76532i | 0.672143 | − | 0.219598i | ||||
\(295\) | 19.6545 | + | 8.97589i | 1.14433 | + | 0.522597i | ||||
\(296\) | −6.49323 | + | 2.59950i | −0.377411 | + | 0.151093i | ||||
\(297\) | −1.67658 | + | 17.2144i | −0.0972851 | + | 0.998881i | ||||
\(298\) | 1.18608 | + | 0.684786i | 0.0687080 | + | 0.0396686i | ||||
\(299\) | 2.58505 | − | 22.2158i | 0.149497 | − | 1.28477i | ||||
\(300\) | −5.61967 | − | 10.9175i | −0.324452 | − | 0.630323i | ||||
\(301\) | 28.7093 | − | 10.4343i | 1.65478 | − | 0.601424i | ||||
\(302\) | 5.21011 | + | 0.749100i | 0.299808 | + | 0.0431059i | ||||
\(303\) | 0.295006 | − | 0.189326i | 0.0169476 | − | 0.0108765i | ||||
\(304\) | 0.180647 | + | 0.0438246i | 0.0103608 | + | 0.00251351i | ||||
\(305\) | −3.76802 | + | 39.4605i | −0.215756 | + | 2.25950i | ||||
\(306\) | −7.19586 | + | 5.11051i | −0.411360 | + | 0.292148i | ||||
\(307\) | −0.320127 | − | 2.22653i | −0.0182706 | − | 0.127075i | 0.978645 | − | 0.205559i | \(-0.0659012\pi\) |
−0.996915 | + | 0.0784838i | \(0.974992\pi\) | |||||||
\(308\) | −8.80557 | + | 0.135662i | −0.501744 | + | 0.00773007i | ||||
\(309\) | 5.34013 | − | 21.9520i | 0.303789 | − | 1.24881i | ||||
\(310\) | 12.8988 | + | 0.614446i | 0.732603 | + | 0.0348982i | ||||
\(311\) | 1.55768 | + | 3.02147i | 0.0883278 | + | 0.171332i | 0.928861 | − | 0.370427i | \(-0.120789\pi\) |
−0.840534 | + | 0.541759i | \(0.817758\pi\) | |||||||
\(312\) | −5.84249 | − | 5.57782i | −0.330766 | − | 0.315782i | ||||
\(313\) | −15.1109 | + | 3.66586i | −0.854118 | + | 0.207207i | −0.638834 | − | 0.769345i | \(-0.720583\pi\) |
−0.215284 | + | 0.976551i | \(0.569068\pi\) | |||||||
\(314\) | 0.609857 | + | 4.24165i | 0.0344162 | + | 0.239370i | ||||
\(315\) | 21.9323 | + | 16.7511i | 1.23574 | + | 0.943816i | ||||
\(316\) | 7.13927 | − | 3.26039i | 0.401615 | − | 0.183412i | ||||
\(317\) | −8.77616 | + | 9.20417i | −0.492918 | + | 0.516958i | −0.922462 | − | 0.386088i | \(-0.873826\pi\) |
0.429544 | + | 0.903046i | \(0.358674\pi\) | |||||||
\(318\) | −17.6582 | − | 9.11751i | −0.990222 | − | 0.511284i | ||||
\(319\) | −16.3302 | + | 20.7656i | −0.914317 | + | 1.16265i | ||||
\(320\) | −3.09045 | − | 1.59324i | −0.172761 | − | 0.0890646i | ||||
\(321\) | 12.6491 | + | 24.5738i | 0.706004 | + | 1.37158i | ||||
\(322\) | 7.30589 | + | 10.3742i | 0.407141 | + | 0.578131i | ||||
\(323\) | 0.546878i | 0.0304291i | ||||||||
\(324\) | 1.30326 | − | 8.90514i | 0.0724032 | − | 0.494730i | ||||
\(325\) | 25.9879 | + | 20.4371i | 1.44155 | + | 1.13365i | ||||
\(326\) | 17.7874 | − | 12.6664i | 0.985154 | − | 0.701525i | ||||
\(327\) | 11.1397 | + | 3.27853i | 0.616028 | + | 0.181303i | ||||
\(328\) | −1.13135 | − | 2.47731i | −0.0624684 | − | 0.136787i | ||||
\(329\) | 6.53953 | − | 10.5289i | 0.360536 | − | 0.580475i | ||||
\(330\) | −11.6173 | − | 16.3360i | −0.639514 | − | 0.899269i | ||||
\(331\) | −3.03841 | − | 12.5245i | −0.167006 | − | 0.688409i | −0.992316 | − | 0.123729i | \(-0.960515\pi\) |
0.825310 | − | 0.564680i | \(-0.191000\pi\) | |||||||
\(332\) | −2.09193 | − | 6.04424i | −0.114810 | − | 0.331721i | ||||
\(333\) | 20.7654 | + | 3.01229i | 1.13794 | + | 0.165073i | ||||
\(334\) | −1.02019 | + | 21.4164i | −0.0558223 | + | 1.17185i | ||||
\(335\) | 14.7372 | + | 12.7698i | 0.805179 | + | 0.697691i | ||||
\(336\) | 4.58011 | + | 0.150392i | 0.249865 | + | 0.00820455i | ||||
\(337\) | −5.76144 | + | 0.828370i | −0.313846 | + | 0.0451242i | −0.297438 | − | 0.954741i | \(-0.596132\pi\) |
−0.0164078 | + | 0.999865i | \(0.505223\pi\) | |||||||
\(338\) | 8.26774 | + | 2.86149i | 0.449706 | + | 0.155645i | ||||
\(339\) | −9.60618 | − | 24.0389i | −0.521736 | − | 1.30562i | ||||
\(340\) | 2.41162 | − | 9.94083i | 0.130788 | − | 0.539117i | ||||
\(341\) | 12.3064 | − | 1.17512i | 0.666429 | − | 0.0636363i | ||||
\(342\) | −0.403114 | − | 0.385338i | −0.0217979 | − | 0.0208367i | ||||
\(343\) | 1.78598 | − | 18.4339i | 0.0964340 | − | 0.995339i | ||||
\(344\) | 11.5455 | 0.622494 | ||||||||
\(345\) | −10.0246 | + | 27.0863i | −0.539709 | + | 1.45828i | ||||
\(346\) | −8.44987 | + | 14.6356i | −0.454268 | + | 0.786815i | ||||
\(347\) | 27.8629 | − | 1.32727i | 1.49576 | − | 0.0712517i | 0.716338 | − | 0.697754i | \(-0.245817\pi\) |
0.779420 | + | 0.626502i | \(0.215514\pi\) | |||||||
\(348\) | 9.00858 | − | 10.3832i | 0.482911 | − | 0.556601i | ||||
\(349\) | 1.31396 | − | 2.87717i | 0.0703347 | − | 0.154012i | −0.871199 | − | 0.490930i | \(-0.836657\pi\) |
0.941534 | + | 0.336918i | \(0.109385\pi\) | |||||||
\(350\) | −18.7192 | + | 1.18097i | −1.00058 | + | 0.0631254i | ||||
\(351\) | 6.78321 | + | 23.2639i | 0.362061 | + | 1.24173i | ||||
\(352\) | −3.14552 | − | 1.08867i | −0.167657 | − | 0.0580265i | ||||
\(353\) | 4.31994 | − | 10.7907i | 0.229927 | − | 0.574330i | −0.767875 | − | 0.640600i | \(-0.778686\pi\) |
0.997802 | + | 0.0662702i | \(0.0211099\pi\) | |||||||
\(354\) | −10.1694 | − | 3.52682i | −0.540495 | − | 0.187448i | ||||
\(355\) | −3.10807 | + | 16.1262i | −0.164959 | + | 0.855889i | ||||
\(356\) | −3.25353 | − | 2.09091i | −0.172437 | − | 0.110818i | ||||
\(357\) | 2.74678 | + | 13.1991i | 0.145375 | + | 0.698571i | ||||
\(358\) | −12.7400 | + | 14.7027i | −0.673330 | + | 0.777064i | ||||
\(359\) | −4.76844 | − | 19.6558i | −0.251668 | − | 1.03739i | −0.947645 | − | 0.319327i | \(-0.896543\pi\) |
0.695976 | − | 0.718065i | \(-0.254972\pi\) | |||||||
\(360\) | 5.62831 | + | 8.78211i | 0.296638 | + | 0.462858i | ||||
\(361\) | 18.6227 | − | 3.58923i | 0.980143 | − | 0.188907i | ||||
\(362\) | 3.68631 | − | 5.17669i | 0.193748 | − | 0.272081i | ||||
\(363\) | −0.0949576 | − | 0.0997143i | −0.00498398 | − | 0.00523364i | ||||
\(364\) | −11.3828 | + | 4.76173i | −0.596621 | + | 0.249582i | ||||
\(365\) | 3.89768 | − | 27.1089i | 0.204014 | − | 1.41895i | ||||
\(366\) | 0.0124283 | − | 19.7467i | 0.000649640 | − | 1.03218i | ||||
\(367\) | −15.0988 | − | 8.71729i | −0.788151 | − | 0.455039i | 0.0511605 | − | 0.998690i | \(-0.483708\pi\) |
−0.839311 | + | 0.543651i | \(0.817041\pi\) | |||||||
\(368\) | 1.25588 | + | 4.62847i | 0.0654675 | + | 0.241276i | ||||
\(369\) | −0.786871 | + | 8.13229i | −0.0409628 | + | 0.423350i | ||||
\(370\) | −20.4582 | + | 13.1477i | −1.06357 | + | 0.683515i | ||||
\(371\) | −23.5701 | + | 19.1306i | −1.22370 | + | 0.993212i | ||||
\(372\) | −6.42574 | + | 0.302043i | −0.333159 | + | 0.0156602i | ||||
\(373\) | 9.61020 | − | 10.0789i | 0.497597 | − | 0.521865i | −0.426261 | − | 0.904600i | \(-0.640169\pi\) |
0.923858 | + | 0.382735i | \(0.125018\pi\) | |||||||
\(374\) | 0.930852 | − | 9.74832i | 0.0481332 | − | 0.504074i | ||||
\(375\) | −7.77150 | − | 9.89508i | −0.401319 | − | 0.510980i | ||||
\(376\) | 3.68239 | − | 2.89586i | 0.189905 | − | 0.149343i | ||||
\(377\) | −10.4277 | + | 35.5134i | −0.537053 | + | 1.82903i | ||||
\(378\) | −11.6647 | − | 7.27558i | −0.599969 | − | 0.374215i | ||||
\(379\) | 5.42477 | − | 8.44111i | 0.278652 | − | 0.433591i | −0.673513 | − | 0.739175i | \(-0.735216\pi\) |
0.952165 | + | 0.305585i | \(0.0988519\pi\) | |||||||
\(380\) | 0.645591 | + | 0.0307533i | 0.0331181 | + | 0.00157761i | ||||
\(381\) | 13.5522 | − | 14.1952i | 0.694301 | − | 0.727245i | ||||
\(382\) | 13.8750 | + | 14.5517i | 0.709907 | + | 0.744529i | ||||
\(383\) | 2.73095 | − | 2.14764i | 0.139545 | − | 0.109739i | −0.545946 | − | 0.837820i | \(-0.683830\pi\) |
0.685491 | + | 0.728081i | \(0.259587\pi\) | |||||||
\(384\) | 1.60757 | + | 0.644750i | 0.0820362 | + | 0.0329023i | ||||
\(385\) | −29.9741 | + | 6.25740i | −1.52762 | + | 0.318907i | ||||
\(386\) | −3.65151 | − | 12.4359i | −0.185857 | − | 0.632970i | ||||
\(387\) | −29.9744 | − | 17.3561i | −1.52368 | − | 0.882259i | ||||
\(388\) | −6.28530 | + | 7.99241i | −0.319088 | + | 0.405753i | ||||
\(389\) | −1.39396 | − | 29.2629i | −0.0706767 | − | 1.48369i | −0.704222 | − | 0.709980i | \(-0.748704\pi\) |
0.633545 | − | 0.773706i | \(-0.281599\pi\) | |||||||
\(390\) | −23.6173 | − | 15.1989i | −1.19591 | − | 0.769628i | ||||
\(391\) | −12.3620 | + | 6.80095i | −0.625172 | + | 0.343939i | ||||
\(392\) | 3.01440 | − | 6.31771i | 0.152250 | − | 0.319092i | ||||
\(393\) | 9.50046 | − | 16.4314i | 0.479235 | − | 0.828854i | ||||
\(394\) | −2.08725 | + | 0.835610i | −0.105154 | + | 0.0420974i | ||||
\(395\) | 22.2290 | − | 15.8292i | 1.11846 | − | 0.796452i | ||||
\(396\) | 6.52978 | + | 7.55496i | 0.328134 | + | 0.379651i | ||||
\(397\) | 13.2678 | − | 18.6320i | 0.665891 | − | 0.935113i | −0.334082 | − | 0.942544i | \(-0.608426\pi\) |
0.999972 | + | 0.00743139i | \(0.00236551\pi\) | |||||||
\(398\) | 13.1557 | + | 15.1825i | 0.659436 | + | 0.761030i | ||||
\(399\) | −0.786059 | + | 0.328248i | −0.0393522 | + | 0.0164330i | ||||
\(400\) | −6.80209 | − | 1.99728i | −0.340105 | − | 0.0998638i | ||||
\(401\) | −26.7040 | − | 5.14677i | −1.33353 | − | 0.257017i | −0.527837 | − | 0.849346i | \(-0.676997\pi\) |
−0.805697 | + | 0.592328i | \(0.798209\pi\) | |||||||
\(402\) | −7.90923 | − | 5.63964i | −0.394477 | − | 0.281280i | ||||
\(403\) | 15.3951 | − | 7.93672i | 0.766884 | − | 0.395356i | ||||
\(404\) | 0.0383006 | − | 0.198723i | 0.00190553 | − | 0.00988682i | ||||
\(405\) | −1.41027 | − | 31.2609i | −0.0700768 | − | 1.55336i | ||||
\(406\) | −9.01614 | − | 18.9639i | −0.447464 | − | 0.941164i | ||||
\(407\) | −17.5946 | + | 15.2458i | −0.872130 | + | 0.755705i | ||||
\(408\) | −0.728364 | + | 5.04335i | −0.0360594 | + | 0.249683i | ||||
\(409\) | −5.64101 | + | 23.2526i | −0.278930 | + | 1.14976i | 0.644070 | + | 0.764966i | \(0.277244\pi\) |
−0.923000 | + | 0.384799i | \(0.874271\pi\) | |||||||
\(410\) | −5.49269 | − | 7.71341i | −0.271265 | − | 0.380938i | ||||
\(411\) | −7.25523 | − | 6.29469i | −0.357874 | − | 0.310494i | ||||
\(412\) | −7.05191 | − | 10.9730i | −0.347423 | − | 0.540600i | ||||
\(413\) | −11.1614 | + | 12.0727i | −0.549215 | + | 0.594060i | ||||
\(414\) | 3.69733 | − | 13.9043i | 0.181714 | − | 0.683359i | ||||
\(415\) | −11.1194 | − | 19.2593i | −0.545828 | − | 0.945401i | ||||
\(416\) | −4.65829 | + | 0.221902i | −0.228392 | + | 0.0108796i | ||||
\(417\) | −0.417223 | + | 2.15745i | −0.0204315 | + | 0.105651i | ||||
\(418\) | 0.615940 | − | 0.0588152i | 0.0301266 | − | 0.00287674i | ||||
\(419\) | 20.2558 | − | 5.94765i | 0.989563 | − | 0.290562i | 0.253396 | − | 0.967363i | \(-0.418452\pi\) |
0.736166 | + | 0.676801i | \(0.236634\pi\) | |||||||
\(420\) | 15.7360 | − | 2.50034i | 0.767840 | − | 0.122004i | ||||
\(421\) | 12.0997 | − | 10.4844i | 0.589702 | − | 0.510980i | −0.308114 | − | 0.951349i | \(-0.599698\pi\) |
0.897817 | + | 0.440369i | \(0.145152\pi\) | |||||||
\(422\) | −1.10929 | − | 1.41058i | −0.0539996 | − | 0.0686661i | ||||
\(423\) | −13.9134 | + | 1.98258i | −0.676494 | + | 0.0963962i | ||||
\(424\) | −10.8427 | + | 3.75270i | −0.526568 | + | 0.182247i | ||||
\(425\) | 0.992393 | − | 20.8329i | 0.0481381 | − | 1.01054i | ||||
\(426\) | 0.782790 | − | 8.14358i | 0.0379263 | − | 0.394558i | ||||
\(427\) | −27.6275 | − | 12.1062i | −1.33699 | − | 0.585862i | ||||
\(428\) | 15.3106 | + | 4.49559i | 0.740064 | + | 0.217302i | ||||
\(429\) | −24.4501 | − | 11.1846i | −1.18046 | − | 0.539997i | ||||
\(430\) | 39.4180 | − | 7.59719i | 1.90090 | − | 0.366369i | ||||
\(431\) | 16.1023 | + | 1.53758i | 0.775619 | + | 0.0740627i | 0.475356 | − | 0.879794i | \(-0.342319\pi\) |
0.300263 | + | 0.953856i | \(0.402925\pi\) | |||||||
\(432\) | −3.20433 | − | 4.09051i | −0.154168 | − | 0.196805i | ||||
\(433\) | −28.2739 | − | 12.9122i | −1.35875 | − | 0.620522i | −0.403139 | − | 0.915139i | \(-0.632081\pi\) |
−0.955616 | + | 0.294616i | \(0.904808\pi\) | |||||||
\(434\) | −3.51111 | + | 9.17762i | −0.168539 | + | 0.440540i | ||||
\(435\) | 23.9241 | − | 41.3776i | 1.14707 | − | 1.98390i | ||||
\(436\) | 5.80608 | − | 3.35214i | 0.278061 | − | 0.160538i | ||||
\(437\) | −0.569769 | − | 0.685644i | −0.0272557 | − | 0.0327988i | ||||
\(438\) | −0.657747 | + | 13.6273i | −0.0314284 | + | 0.651140i | ||||
\(439\) | −3.41149 | − | 1.75875i | −0.162822 | − | 0.0839404i | 0.374890 | − | 0.927069i | \(-0.377681\pi\) |
−0.537711 | + | 0.843129i | \(0.680711\pi\) | |||||||
\(440\) | −11.4556 | − | 1.64706i | −0.546123 | − | 0.0785206i | ||||
\(441\) | −17.3231 | + | 11.8705i | −0.824912 | + | 0.565262i | ||||
\(442\) | −3.86542 | − | 13.1644i | −0.183859 | − | 0.626167i | ||||
\(443\) | −1.12271 | − | 0.799481i | −0.0533417 | − | 0.0379845i | 0.553075 | − | 0.833131i | \(-0.313454\pi\) |
−0.606417 | + | 0.795147i | \(0.707394\pi\) | |||||||
\(444\) | 9.52725 | − | 7.48262i | 0.452143 | − | 0.355109i | ||||
\(445\) | −12.4838 | − | 4.99777i | −0.591790 | − | 0.236917i | ||||
\(446\) | 16.2726 | − | 3.94770i | 0.770531 | − | 0.186929i | ||||
\(447\) | −2.30495 | − | 0.560711i | −0.109020 | − | 0.0265207i | ||||
\(448\) | 1.88647 | − | 1.85506i | 0.0891272 | − | 0.0876432i | ||||
\(449\) | 11.9763 | − | 18.6354i | 0.565194 | − | 0.879460i | −0.434581 | − | 0.900633i | \(-0.643104\pi\) |
0.999776 | + | 0.0211729i | \(0.00674004\pi\) | |||||||
\(450\) | 14.6571 | + | 15.4107i | 0.690940 | + | 0.726466i | ||||
\(451\) | −6.25567 | − | 6.56076i | −0.294568 | − | 0.308934i | ||||
\(452\) | −13.8754 | − | 5.55487i | −0.652643 | − | 0.261279i | ||||
\(453\) | −9.02498 | + | 1.29180i | −0.424031 | + | 0.0606940i | ||||
\(454\) | −5.69840 | + | 2.60237i | −0.267439 | + | 0.122135i | ||||
\(455\) | −35.7291 | + | 23.7473i | −1.67500 | + | 1.11329i | ||||
\(456\) | −0.321611 | + | 0.0151174i | −0.0150608 | + | 0.000707935i | ||||
\(457\) | −11.6170 | − | 29.0178i | −0.543419 | − | 1.35739i | −0.905142 | − | 0.425109i | \(-0.860236\pi\) |
0.361724 | − | 0.932285i | \(-0.382188\pi\) | |||||||
\(458\) | 0.960166 | + | 20.1564i | 0.0448656 | + | 0.941846i | ||||
\(459\) | 9.47248 | − | 11.9985i | 0.442137 | − | 0.560044i | ||||
\(460\) | 7.33337 | + | 14.9758i | 0.341920 | + | 0.698250i | ||||
\(461\) | − | 27.4883i | − | 1.28026i | −0.768268 | − | 0.640128i | \(-0.778881\pi\) | ||
0.768268 | − | 0.640128i | \(-0.221119\pi\) | |||||||
\(462\) | 14.5705 | − | 4.51319i | 0.677883 | − | 0.209972i | ||||
\(463\) | 1.83531 | − | 12.7649i | 0.0852940 | − | 0.593233i | −0.901686 | − | 0.432391i | \(-0.857670\pi\) |
0.986980 | − | 0.160842i | \(-0.0514209\pi\) | |||||||
\(464\) | −0.754417 | − | 7.90061i | −0.0350229 | − | 0.366777i | ||||
\(465\) | −21.7396 | + | 5.25948i | −1.00815 | + | 0.243902i | ||||
\(466\) | −11.2095 | − | 1.07038i | −0.519271 | − | 0.0495844i | ||||
\(467\) | −9.21713 | + | 26.6312i | −0.426518 | + | 1.23234i | 0.503232 | + | 0.864151i | \(0.332144\pi\) |
−0.929750 | + | 0.368192i | \(0.879977\pi\) | |||||||
\(468\) | 12.4274 | + | 6.42657i | 0.574455 | + | 0.297068i | ||||
\(469\) | −12.7346 | + | 7.61625i | −0.588028 | + | 0.351686i | ||||
\(470\) | 10.6666 | − | 12.3099i | 0.492014 | − | 0.567815i | ||||
\(471\) | −3.07908 | − | 6.75350i | −0.141877 | − | 0.311185i | ||||
\(472\) | −5.52353 | + | 2.84758i | −0.254241 | + | 0.131070i | ||||
\(473\) | 36.3167 | − | 12.5693i | 1.66985 | − | 0.577939i | ||||
\(474\) | −10.2793 | + | 8.89574i | −0.472143 | + | 0.408595i | ||||
\(475\) | 1.30439 | − | 0.187543i | 0.0598495 | − | 0.00860506i | ||||
\(476\) | 6.61217 | + | 4.10685i | 0.303068 | + | 0.188237i | ||||
\(477\) | 33.7910 | + | 6.55680i | 1.54718 | + | 0.300215i | ||||
\(478\) | −2.99381 | − | 2.85459i | −0.136934 | − | 0.130566i | ||||
\(479\) | −11.2806 | − | 15.8414i | −0.515424 | − | 0.723812i | 0.472054 | − | 0.881570i | \(-0.343513\pi\) |
−0.987478 | + | 0.157758i | \(0.949574\pi\) | |||||||
\(480\) | 5.91272 | + | 1.14344i | 0.269878 | + | 0.0521909i | ||||
\(481\) | −14.9465 | + | 28.9922i | −0.681502 | + | 1.32193i | ||||
\(482\) | −19.0542 | −0.867895 | ||||||||
\(483\) | −17.1953 | − | 13.6865i | −0.782415 | − | 0.622758i | ||||
\(484\) | −0.0794982 | −0.00361355 | ||||||||
\(485\) | −16.1997 | + | 31.4229i | −0.735588 | + | 1.42684i | ||||
\(486\) | 2.16990 | + | 15.4367i | 0.0984287 | + | 0.700223i | ||||
\(487\) | 20.6971 | + | 29.0650i | 0.937875 | + | 1.31706i | 0.948387 | + | 0.317116i | \(0.102715\pi\) |
−0.0105117 | + | 0.999945i | \(0.503346\pi\) | |||||||
\(488\) | −8.25111 | − | 7.86742i | −0.373510 | − | 0.356141i | ||||
\(489\) | −23.3986 | + | 29.7152i | −1.05812 | + | 1.34377i | ||||
\(490\) | 6.13436 | − | 23.5530i | 0.277122 | − | 1.06402i | ||||
\(491\) | 11.8394 | − | 1.70225i | 0.534306 | − | 0.0768216i | 0.130120 | − | 0.991498i | \(-0.458464\pi\) |
0.404186 | + | 0.914677i | \(0.367555\pi\) | |||||||
\(492\) | 3.08680 | + | 3.56689i | 0.139164 | + | 0.160808i | ||||
\(493\) | 22.0650 | − | 7.63678i | 0.993759 | − | 0.343943i | ||||
\(494\) | 0.770531 | − | 0.397236i | 0.0346678 | − | 0.0178725i | ||||
\(495\) | 27.2648 | + | 21.4969i | 1.22546 | + | 0.966213i | ||||
\(496\) | −2.43215 | + | 2.80685i | −0.109207 | + | 0.126032i | ||||
\(497\) | −10.9176 | − | 6.08097i | −0.489720 | − | 0.272769i | ||||
\(498\) | 6.42032 | + | 9.02810i | 0.287702 | + | 0.404559i | ||||
\(499\) | −12.1763 | + | 35.1811i | −0.545086 | + | 1.57492i | 0.249886 | + | 0.968275i | \(0.419607\pi\) |
−0.794972 | + | 0.606646i | \(0.792515\pi\) | |||||||
\(500\) | −7.23138 | − | 0.690513i | −0.323397 | − | 0.0308807i | ||||
\(501\) | −8.73252 | − | 36.0951i | −0.390140 | − | 1.61261i | ||||
\(502\) | −2.51729 | − | 26.3622i | −0.112352 | − | 1.17660i | ||||
\(503\) | −3.53825 | + | 24.6091i | −0.157763 | + | 1.09727i | 0.744981 | + | 0.667086i | \(0.232459\pi\) |
−0.902744 | + | 0.430179i | \(0.858450\pi\) | |||||||
\(504\) | −7.68627 | + | 1.98021i | −0.342374 | + | 0.0882054i | ||||
\(505\) | − | 0.703667i | − | 0.0313128i | ||||||
\(506\) | 8.98931 | + | 13.1917i | 0.399623 | + | 0.586442i | ||||
\(507\) | −15.1360 | − | 0.730563i | −0.672211 | − | 0.0324454i | ||||
\(508\) | −0.539146 | − | 11.3181i | −0.0239207 | − | 0.502158i | ||||
\(509\) | −8.89493 | − | 22.2185i | −0.394261 | − | 0.984816i | −0.984151 | − | 0.177333i | \(-0.943253\pi\) |
0.589890 | − | 0.807484i | \(-0.299171\pi\) | |||||||
\(510\) | 0.831892 | + | 17.6979i | 0.0368368 | + | 0.783677i | ||||
\(511\) | 18.6685 | + | 9.26312i | 0.825848 | + | 0.409776i | ||||
\(512\) | 0.909632 | − | 0.415415i | 0.0402004 | − | 0.0183589i | ||||
\(513\) | 0.857688 | + | 0.444221i | 0.0378678 | + | 0.0196128i | ||||
\(514\) | −8.36017 | − | 3.34691i | −0.368751 | − | 0.147626i | ||||
\(515\) | −31.2966 | − | 32.8229i | −1.37909 | − | 1.44635i | ||||
\(516\) | −19.1910 | + | 5.62186i | −0.844836 | + | 0.247489i | ||||
\(517\) | 8.43038 | − | 13.1179i | 0.370767 | − | 0.576925i | ||||
\(518\) | −4.63923 | − | 17.9140i | −0.203836 | − | 0.787098i | ||||
\(519\) | 6.91885 | − | 28.4417i | 0.303704 | − | 1.24845i | ||||
\(520\) | −15.7580 | + | 3.82285i | −0.691033 | + | 0.167643i | ||||
\(521\) | 35.1165 | + | 14.0585i | 1.53848 | + | 0.615915i | 0.977315 | − | 0.211789i | \(-0.0679288\pi\) |
0.561166 | + | 0.827704i | \(0.310353\pi\) | |||||||
\(522\) | −9.91814 | + | 21.6456i | −0.434105 | + | 0.947400i | ||||
\(523\) | 3.11451 | + | 2.21783i | 0.136188 | + | 0.0969790i | 0.646121 | − | 0.763235i | \(-0.276390\pi\) |
−0.509933 | + | 0.860214i | \(0.670330\pi\) | |||||||
\(524\) | −3.08729 | − | 10.5144i | −0.134869 | − | 0.459322i | ||||
\(525\) | 30.5400 | − | 11.0779i | 1.33287 | − | 0.483480i | ||||
\(526\) | −17.6586 | − | 2.53892i | −0.769952 | − | 0.110702i | ||||
\(527\) | −9.71190 | − | 5.00683i | −0.423057 | − | 0.218101i | ||||
\(528\) | 5.75858 | + | 0.277948i | 0.250610 | + | 0.0120961i | ||||
\(529\) | 8.41312 | − | 21.4061i | 0.365788 | − | 0.930698i | ||||
\(530\) | −34.5490 | + | 19.9469i | −1.50071 | + | 0.866438i | ||||
\(531\) | 18.6208 | + | 0.910512i | 0.808074 | + | 0.0395128i | ||||
\(532\) | −0.175733 | + | 0.459344i | −0.00761898 | + | 0.0199151i | ||||
\(533\) | −11.5531 | − | 5.27614i | −0.500421 | − | 0.228535i | ||||
\(534\) | 6.42613 | + | 1.89128i | 0.278086 | + | 0.0818435i | ||||
\(535\) | 55.2304 | + | 5.27387i | 2.38782 | + | 0.228009i | ||||
\(536\) | −5.50702 | + | 1.06139i | −0.237867 | + | 0.0458451i | ||||
\(537\) | 14.0172 | − | 30.6423i | 0.604887 | − | 1.32231i | ||||
\(538\) | −7.47118 | − | 2.19374i | −0.322106 | − | 0.0945787i | ||||
\(539\) | 2.60391 | − | 23.1542i | 0.112158 | − | 0.997320i | ||||
\(540\) | −13.6316 | − | 11.8570i | −0.586612 | − | 0.510245i | ||||
\(541\) | 0.0515366 | − | 1.08189i | 0.00221573 | − | 0.0465140i | −0.997489 | − | 0.0708260i | \(-0.977436\pi\) |
0.999704 | + | 0.0243120i | \(0.00773952\pi\) | |||||||
\(542\) | 14.3522 | − | 4.96733i | 0.616478 | − | 0.213365i | ||||
\(543\) | −3.60669 | + | 10.3997i | −0.154778 | + | 0.446292i | ||||
\(544\) | 1.81862 | + | 2.31256i | 0.0779725 | + | 0.0991501i | ||||
\(545\) | 17.6169 | − | 15.2651i | 0.754626 | − | 0.653887i | ||||
\(546\) | 16.6019 | − | 13.4576i | 0.710494 | − | 0.575930i | ||||
\(547\) | −41.8024 | + | 12.2743i | −1.78734 | + | 0.524811i | −0.996221 | − | 0.0868490i | \(-0.972320\pi\) |
−0.791121 | + | 0.611660i | \(0.790502\pi\) | |||||||
\(548\) | −5.52050 | + | 0.527144i | −0.235824 | + | 0.0225185i | ||||
\(549\) | 9.59457 | + | 32.8289i | 0.409486 | + | 1.40110i | ||||
\(550\) | −23.5705 | + | 1.12280i | −1.00505 | + | 0.0478764i | ||||
\(551\) | 0.737652 | + | 1.27765i | 0.0314250 | + | 0.0544297i | ||||
\(552\) | −4.34127 | − | 7.08191i | −0.184777 | − | 0.301426i | ||||
\(553\) | 6.15647 | + | 19.8316i | 0.261800 | + | 0.843326i | ||||
\(554\) | −8.49466 | − | 13.2179i | −0.360903 | − | 0.561577i | ||||
\(555\) | 27.6036 | − | 31.8157i | 1.17171 | − | 1.35050i | ||||
\(556\) | 0.735909 | + | 1.03344i | 0.0312095 | + | 0.0438276i | ||||
\(557\) | 6.90955 | − | 28.4815i | 0.292767 | − | 1.20680i | −0.615407 | − | 0.788209i | \(-0.711009\pi\) |
0.908174 | − | 0.418592i | \(-0.137476\pi\) | |||||||
\(558\) | 10.5338 | − | 3.63094i | 0.445931 | − | 0.153710i | ||||
\(559\) | 40.6922 | − | 35.2600i | 1.72110 | − | 1.49134i | ||||
\(560\) | 5.21998 | − | 7.57474i | 0.220584 | − | 0.320091i | ||||
\(561\) | 3.19948 | + | 16.6569i | 0.135082 | + | 0.703255i | ||||
\(562\) | −2.65661 | + | 13.7838i | −0.112062 | + | 0.581435i | ||||
\(563\) | −28.6951 | + | 14.7933i | −1.20935 | + | 0.623465i | −0.940525 | − | 0.339723i | \(-0.889667\pi\) |
−0.268828 | + | 0.963188i | \(0.586636\pi\) | |||||||
\(564\) | −4.71078 | + | 6.60656i | −0.198360 | + | 0.278186i | ||||
\(565\) | −51.0275 | − | 9.83475i | −2.14675 | − | 0.413751i | ||||
\(566\) | 31.3065 | + | 9.19241i | 1.31591 | + | 0.386386i | ||||
\(567\) | 22.9318 | + | 6.41355i | 0.963044 | + | 0.269344i | ||||
\(568\) | −3.09315 | − | 3.56968i | −0.129786 | − | 0.149781i | ||||
\(569\) | 19.2332 | − | 27.0092i | 0.806298 | − | 1.13229i | −0.182527 | − | 0.983201i | \(-0.558428\pi\) |
0.988824 | − | 0.149086i | \(-0.0476330\pi\) | |||||||
\(570\) | −1.08807 | + | 0.263239i | −0.0455744 | + | 0.0110259i | ||||
\(571\) | 27.7781 | − | 19.7807i | 1.16248 | − | 0.827795i | 0.174846 | − | 0.984596i | \(-0.444057\pi\) |
0.987630 | + | 0.156800i | \(0.0501179\pi\) | |||||||
\(572\) | −14.4112 | + | 5.76936i | −0.602561 | + | 0.241229i | ||||
\(573\) | −30.1487 | − | 17.4316i | −1.25948 | − | 0.728217i | ||||
\(574\) | 6.88153 | − | 2.13628i | 0.287230 | − | 0.0891668i | ||||
\(575\) | 20.4607 | + | 27.1530i | 0.853269 | + | 1.13236i | ||||
\(576\) | −2.98605 | − | 0.288927i | −0.124419 | − | 0.0120386i | ||||
\(577\) | 1.13703 | + | 23.8691i | 0.0473350 | + | 0.993683i | 0.890203 | + | 0.455563i | \(0.150562\pi\) |
−0.842868 | + | 0.538120i | \(0.819135\pi\) | |||||||
\(578\) | 5.15836 | − | 6.55939i | 0.214559 | − | 0.272834i | ||||
\(579\) | 12.1249 | + | 18.8929i | 0.503895 | + | 0.785161i | ||||
\(580\) | −7.77443 | − | 26.4773i | −0.322816 | − | 1.09941i | ||||
\(581\) | 16.5652 | − | 3.45815i | 0.687239 | − | 0.143468i | ||||
\(582\) | 6.55567 | − | 16.3454i | 0.271741 | − | 0.677541i | ||||
\(583\) | −30.0205 | + | 23.6083i | −1.24332 | + | 0.977758i | ||||
\(584\) | 5.43569 | + | 5.70079i | 0.224930 | + | 0.235900i | ||||
\(585\) | 46.6574 | + | 13.7637i | 1.92905 | + | 0.569058i | ||||
\(586\) | 16.5505 | + | 0.788397i | 0.683694 | + | 0.0325684i | ||||
\(587\) | −13.2384 | + | 20.5993i | −0.546406 | + | 0.850224i | −0.999142 | − | 0.0414209i | \(-0.986812\pi\) |
0.452736 | + | 0.891644i | \(0.350448\pi\) | |||||||
\(588\) | −1.93425 | + | 11.9691i | −0.0797670 | + | 0.493596i | ||||
\(589\) | 0.194504 | − | 0.662420i | 0.00801440 | − | 0.0272945i | ||||
\(590\) | −16.9843 | + | 13.3566i | −0.699232 | + | 0.549882i | ||||
\(591\) | 3.06254 | − | 2.40529i | 0.125976 | − | 0.0989405i | ||||
\(592\) | 0.664845 | − | 6.96257i | 0.0273249 | − | 0.286160i | ||||
\(593\) | −31.9124 | + | 33.4687i | −1.31048 | + | 1.37440i | −0.428196 | + | 0.903686i | \(0.640851\pi\) |
−0.882288 | + | 0.470710i | \(0.843998\pi\) | |||||||
\(594\) | −14.5325 | − | 9.37830i | −0.596276 | − | 0.384796i | ||||
\(595\) | 25.2772 | + | 9.67038i | 1.03626 | + | 0.396447i | ||||
\(596\) | −1.15216 | + | 0.740446i | −0.0471942 | + | 0.0303299i | ||||
\(597\) | −29.2602 | − | 18.8304i | −1.19754 | − | 0.770677i | ||||
\(598\) | 18.5617 | + | 12.4776i | 0.759043 | + | 0.510245i | ||||
\(599\) | −23.9994 | − | 13.8561i | −0.980590 | − | 0.566144i | −0.0781419 | − | 0.996942i | \(-0.524899\pi\) |
−0.902448 | + | 0.430798i | \(0.858232\pi\) | |||||||
\(600\) | 12.2790 | + | 0.00772823i | 0.501286 | + | 0.000315504i | ||||
\(601\) | −0.297052 | + | 2.06604i | −0.0121170 | + | 0.0842755i | −0.994983 | − | 0.100048i | \(-0.968100\pi\) |
0.982866 | + | 0.184324i | \(0.0590094\pi\) | |||||||
\(602\) | −3.88096 | + | 30.2991i | −0.158176 | + | 1.23490i | ||||
\(603\) | 15.8928 | + | 5.52297i | 0.647205 | + | 0.224913i | ||||
\(604\) | −3.05324 | + | 4.28767i | −0.124234 | + | 0.174463i | ||||
\(605\) | −0.271417 | + | 0.0523113i | −0.0110347 | + | 0.00212676i | ||||
\(606\) | 0.0331006 | + | 0.348966i | 0.00134462 | + | 0.0141758i | ||||
\(607\) | 4.06864 | + | 16.7712i | 0.165141 | + | 0.680721i | 0.992830 | + | 0.119534i | \(0.0381400\pi\) |
−0.827689 | + | 0.561187i | \(0.810345\pi\) | |||||||
\(608\) | −0.121730 | + | 0.140484i | −0.00493681 | + | 0.00569739i | ||||
\(609\) | 24.2207 | + | 27.1316i | 0.981472 | + | 1.09943i | ||||
\(610\) | −33.3473 | − | 21.4310i | −1.35019 | − | 0.867715i | ||||
\(611\) | 4.13462 | − | 21.4524i | 0.167269 | − | 0.867873i | ||||
\(612\) | −1.24507 | − | 8.73770i | −0.0503289 | − | 0.353201i | ||||
\(613\) | −1.18104 | + | 2.95010i | −0.0477018 | + | 0.119153i | −0.950305 | − | 0.311320i | \(-0.899229\pi\) |
0.902603 | + | 0.430473i | \(0.141653\pi\) | |||||||
\(614\) | 2.12571 | + | 0.735717i | 0.0857868 | + | 0.0296911i | ||||
\(615\) | 12.8858 | + | 10.1467i | 0.519607 | + | 0.409153i | ||||
\(616\) | 3.91436 | − | 7.88887i | 0.157714 | − | 0.317852i | ||||
\(617\) | −5.44769 | + | 11.9288i | −0.219316 | + | 0.480235i | −0.987026 | − | 0.160563i | \(-0.948669\pi\) |
0.767710 | + | 0.640798i | \(0.221396\pi\) | |||||||
\(618\) | 17.0647 | + | 14.8055i | 0.686444 | + | 0.595564i | ||||
\(619\) | 38.4196 | − | 1.83015i | 1.54421 | − | 0.0735600i | 0.741920 | − | 0.670489i | \(-0.233916\pi\) |
0.802294 | + | 0.596929i | \(0.203613\pi\) | |||||||
\(620\) | −6.45672 | + | 11.1834i | −0.259308 | + | 0.449135i | ||||
\(621\) | 0.624720 | + | 24.9120i | 0.0250692 | + | 0.999686i | ||||
\(622\) | −3.39936 | −0.136302 | ||||||||
\(623\) | 6.58086 | − | 7.83542i | 0.263657 | − | 0.313919i | ||||
\(624\) | 7.63495 | − | 2.63710i | 0.305643 | − | 0.105569i | ||||
\(625\) | 10.1426 | − | 0.968498i | 0.405703 | − | 0.0387399i | ||||
\(626\) | 3.66586 | − | 15.1109i | 0.146517 | − | 0.603952i | ||||
\(627\) | −0.995176 | + | 0.397682i | −0.0397435 | + | 0.0158819i | ||||
\(628\) | −4.04958 | − | 1.40157i | −0.161596 | − | 0.0559288i | ||||
\(629\) | 20.3675 | − | 2.92841i | 0.812106 | − | 0.116763i | ||||
\(630\) | −24.9389 | + | 11.8184i | −0.993590 | + | 0.470856i | ||||
\(631\) | 25.2022 | + | 21.8378i | 1.00328 | + | 0.869350i | 0.991438 | − | 0.130579i | \(-0.0416838\pi\) |
0.0118460 | + | 0.999930i | \(0.496229\pi\) | |||||||
\(632\) | −0.373448 | + | 7.83963i | −0.0148550 | + | 0.311844i | ||||
\(633\) | 2.53072 | + | 1.80452i | 0.100587 | + | 0.0717232i | ||||
\(634\) | −4.15952 | − | 12.0182i | −0.165196 | − | 0.477302i | ||||
\(635\) | −9.28821 | − | 38.2865i | −0.368592 | − | 1.51935i | ||||
\(636\) | 16.1954 | − | 11.5173i | 0.642190 | − | 0.456693i | ||||
\(637\) | −8.67000 | − | 31.4727i | −0.343518 | − | 1.24699i | ||||
\(638\) | −10.9742 | − | 24.0302i | −0.434474 | − | 0.951365i | ||||
\(639\) | 2.66419 | + | 13.9174i | 0.105394 | + | 0.550564i | ||||
\(640\) | 2.83225 | − | 2.01684i | 0.111954 | − | 0.0797224i | ||||
\(641\) | 10.3106 | + | 8.10834i | 0.407244 | + | 0.320260i | 0.800680 | − | 0.599092i | \(-0.204471\pi\) |
−0.393437 | + | 0.919352i | \(0.628714\pi\) | |||||||
\(642\) | −27.6382 | − | 0.0173952i | −1.09079 | − | 0.000686533i | ||||
\(643\) | − | 22.1426i | − | 0.873219i | −0.899651 | − | 0.436610i | \(-0.856179\pi\) | ||
0.899651 | − | 0.436610i | \(-0.143821\pi\) | |||||||
\(644\) | −12.5687 | + | 1.74000i | −0.495276 | + | 0.0685657i | ||||
\(645\) | −61.8212 | + | 31.8218i | −2.43421 | + | 1.25298i | ||||
\(646\) | −0.486085 | − | 0.250594i | −0.0191247 | − | 0.00985949i | ||||
\(647\) | 13.0313 | − | 16.5706i | 0.512312 | − | 0.651457i | −0.459232 | − | 0.888316i | \(-0.651875\pi\) |
0.971544 | + | 0.236859i | \(0.0761179\pi\) | |||||||
\(648\) | 7.31802 | + | 5.23895i | 0.287479 | + | 0.205805i | ||||
\(649\) | −14.2743 | + | 14.9704i | −0.560315 | + | 0.587641i | ||||
\(650\) | −30.0736 | + | 13.7342i | −1.17958 | + | 0.538698i | ||||
\(651\) | 1.36732 | − | 16.9647i | 0.0535894 | − | 0.664898i | ||||
\(652\) | 3.10765 | + | 21.6142i | 0.121705 | + | 0.846476i | ||||
\(653\) | 44.3871 | − | 10.7682i | 1.73700 | − | 0.421392i | 0.762721 | − | 0.646728i | \(-0.223863\pi\) |
0.974281 | + | 0.225336i | \(0.0723480\pi\) | |||||||
\(654\) | −8.01859 | + | 8.39907i | −0.313552 | + | 0.328429i | ||||
\(655\) | −17.4591 | − | 33.8659i | −0.682182 | − | 1.32325i | ||||
\(656\) | 2.72034 | + | 0.129586i | 0.106211 | + | 0.00505947i | ||||
\(657\) | −5.54224 | − | 22.9716i | −0.216224 | − | 0.896208i | ||||
\(658\) | 6.36184 | + | 10.6372i | 0.248010 | + | 0.414680i | ||||
\(659\) | −1.20095 | − | 8.35276i | −0.0467822 | − | 0.325377i | −0.999751 | − | 0.0223093i | \(-0.992898\pi\) |
0.952969 | − | 0.303068i | \(-0.0980110\pi\) | |||||||
\(660\) | 19.8434 | − | 2.84031i | 0.772404 | − | 0.110559i | ||||
\(661\) | −1.02982 | + | 10.7847i | −0.0400552 | + | 0.419477i | 0.953098 | + | 0.302661i | \(0.0978749\pi\) |
−0.993154 | + | 0.116816i | \(0.962731\pi\) | |||||||
\(662\) | 12.5245 | + | 3.03841i | 0.486778 | + | 0.118091i | ||||
\(663\) | 12.8352 | + | 19.9997i | 0.498479 | + | 0.776723i | ||||
\(664\) | 6.33092 | + | 0.910248i | 0.245687 | + | 0.0353245i | ||||
\(665\) | −0.297717 | + | 1.68389i | −0.0115450 | + | 0.0652986i | ||||
\(666\) | −12.1927 | + | 17.0767i | −0.472457 | + | 0.661708i | ||||
\(667\) | −19.7074 | + | 32.5632i | −0.763075 | + | 1.26085i | ||||
\(668\) | −18.5682 | − | 10.7204i | −0.718425 | − | 0.414783i | ||||
\(669\) | −25.1261 | + | 14.4855i | −0.971430 | + | 0.560040i | ||||
\(670\) | −18.1033 | + | 7.24745i | −0.699390 | + | 0.279994i | ||||
\(671\) | −34.5191 | − | 15.7643i | −1.33259 | − | 0.608576i | ||||
\(672\) | −2.23240 | + | 4.00205i | −0.0861167 | + | 0.154382i | ||||
\(673\) | 18.7372 | + | 41.0289i | 0.722268 | + | 1.58155i | 0.810699 | + | 0.585464i | \(0.199088\pi\) |
−0.0884307 | + | 0.996082i | \(0.528185\pi\) | |||||||
\(674\) | 1.90376 | − | 5.50055i | 0.0733301 | − | 0.211873i | ||||
\(675\) | −31.8668 | − | 18.4786i | −1.22655 | − | 0.711243i | ||||
\(676\) | −6.33189 | + | 6.03745i | −0.243534 | + | 0.232209i | ||||
\(677\) | 18.6806 | + | 3.60040i | 0.717956 | + | 0.138375i | 0.535129 | − | 0.844771i | \(-0.320263\pi\) |
0.182827 | + | 0.983145i | \(0.441475\pi\) | |||||||
\(678\) | 25.7685 | + | 2.47696i | 0.989632 | + | 0.0951269i | ||||
\(679\) | −18.8618 | − | 19.1812i | −0.723849 | − | 0.736106i | ||||
\(680\) | 7.73070 | + | 6.69869i | 0.296459 | + | 0.256883i | ||||
\(681\) | 8.20469 | − | 7.10037i | 0.314404 | − | 0.272087i | ||||
\(682\) | −4.59463 | + | 11.4768i | −0.175938 | + | 0.439471i | ||||
\(683\) | 5.76472 | + | 29.9102i | 0.220581 | + | 1.14448i | 0.908240 | + | 0.418449i | \(0.137426\pi\) |
−0.687660 | + | 0.726033i | \(0.741362\pi\) | |||||||
\(684\) | 0.527220 | − | 0.181730i | 0.0201588 | − | 0.00694861i | ||||
\(685\) | −18.5008 | + | 5.43233i | −0.706880 | + | 0.207559i | ||||
\(686\) | 15.5664 | + | 10.0344i | 0.594326 | + | 0.383114i | ||||
\(687\) | −11.4107 | − | 33.0363i | −0.435346 | − | 1.26042i | ||||
\(688\) | −5.29048 | + | 10.2621i | −0.201698 | + | 0.391239i | ||||
\(689\) | −26.7543 | + | 46.3399i | −1.01926 | + | 1.76541i | ||||
\(690\) | −19.4817 | − | 21.3219i | −0.741654 | − | 0.811711i | ||||
\(691\) | 1.50888 | + | 2.61346i | 0.0574005 | + | 0.0994206i | 0.893298 | − | 0.449465i | \(-0.148385\pi\) |
−0.835897 | + | 0.548886i | \(0.815052\pi\) | |||||||
\(692\) | −9.13669 | − | 14.2170i | −0.347325 | − | 0.540448i | ||||
\(693\) | −22.0215 | + | 14.5966i | −0.836528 | + | 0.554480i | ||||
\(694\) | −11.5878 | + | 25.3737i | −0.439866 | + | 0.963173i | ||||
\(695\) | 3.19251 | + | 3.04405i | 0.121099 | + | 0.115467i | ||||
\(696\) | 5.10103 | + | 12.7650i | 0.193354 | + | 0.483857i | ||||
\(697\) | 1.51633 | + | 7.86748i | 0.0574352 | + | 0.298002i | ||||
\(698\) | 1.95524 | + | 2.48629i | 0.0740070 | + | 0.0941075i | ||||
\(699\) | 19.1537 | − | 3.67906i | 0.724458 | − | 0.139155i | ||||
\(700\) | 7.52795 | − | 17.1794i | 0.284530 | − | 0.649322i | ||||
\(701\) | −0.561242 | − | 0.360688i | −0.0211978 | − | 0.0136230i | 0.529999 | − | 0.847998i | \(-0.322192\pi\) |
−0.551197 | + | 0.834375i | \(0.685829\pi\) | |||||||
\(702\) | −23.7860 | − | 4.63098i | −0.897746 | − | 0.174785i | ||||
\(703\) | 0.425234 | + | 1.22863i | 0.0160380 | + | 0.0463388i | ||||
\(704\) | 2.40901 | − | 2.29699i | 0.0907931 | − | 0.0865710i | ||||
\(705\) | −11.7360 | + | 25.6554i | −0.442002 | + | 0.966239i | ||||
\(706\) | 7.61163 | + | 8.78429i | 0.286467 | + | 0.330601i | ||||
\(707\) | 0.508635 | + | 0.167312i | 0.0191292 | + | 0.00629242i | ||||
\(708\) | 7.79463 | − | 7.42281i | 0.292940 | − | 0.278966i | ||||
\(709\) | 2.64646 | + | 27.7150i | 0.0993898 | + | 1.04086i | 0.898293 | + | 0.439397i | \(0.144808\pi\) |
−0.798903 | + | 0.601460i | \(0.794586\pi\) | |||||||
\(710\) | −12.9093 | − | 10.1520i | −0.484478 | − | 0.380998i | ||||
\(711\) | 12.7546 | − | 19.7918i | 0.478336 | − | 0.742249i | ||||
\(712\) | 3.34933 | − | 1.93374i | 0.125522 | − | 0.0724699i | ||||
\(713\) | 17.3926 | − | 3.84113i | 0.651359 | − | 0.143852i | ||||
\(714\) | −12.9905 | − | 3.60674i | −0.486156 | − | 0.134979i | ||||
\(715\) | −45.4052 | + | 29.1802i | −1.69806 | + | 1.09128i | ||||
\(716\) | −7.23051 | − | 18.0609i | −0.270217 | − | 0.674969i | ||||
\(717\) | 6.36628 | + | 3.28712i | 0.237753 | + | 0.122760i | ||||
\(718\) | 19.6558 | + | 4.76844i | 0.733546 | + | 0.177956i | ||||
\(719\) | −28.0412 | − | 19.9681i | −1.04576 | − | 0.744684i | −0.0781030 | − | 0.996945i | \(-0.524886\pi\) |
−0.967659 | + | 0.252261i | \(0.918826\pi\) | |||||||
\(720\) | −10.3849 | + | 0.978447i | −0.387022 | + | 0.0364646i | ||||
\(721\) | 31.1670 | − | 14.8179i | 1.16072 | − | 0.551848i | ||||
\(722\) | −5.34318 | + | 18.1972i | −0.198853 | + | 0.677230i | ||||
\(723\) | 31.6718 | − | 9.27804i | 1.17789 | − | 0.345054i | ||||
\(724\) | 2.91207 | + | 5.64862i | 0.108226 | + | 0.209929i | ||||
\(725\) | −25.7818 | − | 50.0097i | −0.957511 | − | 1.85731i | ||||
\(726\) | 0.132142 | − | 0.0387100i | 0.00490424 | − | 0.00143666i | ||||
\(727\) | 1.00626 | − | 3.42700i | 0.0373201 | − | 0.127101i | −0.938726 | − | 0.344664i | \(-0.887993\pi\) |
0.976046 | + | 0.217564i | \(0.0698110\pi\) | |||||||
\(728\) | 0.983514 | − | 12.2994i | 0.0364514 | − | 0.455846i | ||||
\(729\) | −11.1234 | − | 24.6022i | −0.411977 | − | 0.911194i | ||||
\(730\) | 22.3094 | + | 15.8864i | 0.825707 | + | 0.587983i | ||||
\(731\) | −33.0094 | − | 8.00799i | −1.22090 | − | 0.296186i | ||||
\(732\) | 17.5459 | + | 9.05950i | 0.648513 | + | 0.334849i | ||||
\(733\) | −6.56555 | − | 16.3999i | −0.242504 | − | 0.605746i | 0.756321 | − | 0.654200i | \(-0.226995\pi\) |
−0.998825 | + | 0.0484545i | \(0.984570\pi\) | |||||||
\(734\) | 14.6669 | − | 9.42585i | 0.541365 | − | 0.347914i | ||||
\(735\) | 1.27211 | + | 42.1367i | 0.0469226 | + | 1.55424i | ||||
\(736\) | −4.68943 | − | 1.00461i | −0.172855 | − | 0.0370306i | ||||
\(737\) | −16.1669 | + | 9.33398i | −0.595517 | + | 0.343822i | ||||
\(738\) | −6.86770 | − | 4.42583i | −0.252804 | − | 0.162917i | ||||
\(739\) | 37.6101 | + | 29.5769i | 1.38351 | + | 1.08800i | 0.985323 | + | 0.170698i | \(0.0546022\pi\) |
0.398185 | + | 0.917305i | \(0.369640\pi\) | |||||||
\(740\) | −2.31164 | − | 24.2086i | −0.0849775 | − | 0.889925i | ||||
\(741\) | −1.08735 | + | 1.03548i | −0.0399447 | + | 0.0380393i | ||||
\(742\) | −6.20354 | − | 29.7161i | −0.227739 | − | 1.09091i | ||||
\(743\) | −24.2360 | − | 27.9698i | −0.889132 | − | 1.02611i | −0.999481 | − | 0.0322200i | \(-0.989742\pi\) |
0.110349 | − | 0.993893i | \(-0.464803\pi\) | |||||||
\(744\) | 2.67598 | − | 5.84983i | 0.0981062 | − | 0.214465i | ||||
\(745\) | −3.44638 | + | 3.28612i | −0.126266 | + | 0.120394i | ||||
\(746\) | 4.55482 | + | 13.1603i | 0.166764 | + | 0.481833i | ||||
\(747\) | −15.0679 | − | 11.8802i | −0.551305 | − | 0.434675i | ||||
\(748\) | 8.23811 | + | 5.29431i | 0.301215 | + | 0.193579i | ||||
\(749\) | −16.9444 | + | 38.6685i | −0.619134 | + | 1.41292i | ||||
\(750\) | 12.3562 | − | 2.37340i | 0.451185 | − | 0.0866643i | ||||
\(751\) | −16.2009 | − | 20.6012i | −0.591180 | − | 0.751747i | 0.394771 | − | 0.918779i | \(-0.370824\pi\) |
−0.985951 | + | 0.167033i | \(0.946581\pi\) | |||||||
\(752\) | 0.886578 | + | 4.60000i | 0.0323302 | + | 0.167745i | ||||
\(753\) | 17.0208 | + | 42.5935i | 0.620271 | + | 1.55219i | ||||
\(754\) | −26.7873 | − | 25.5417i | −0.975537 | − | 0.930173i | ||||
\(755\) | −7.60277 | + | 16.6477i | −0.276693 | + | 0.605873i | ||||
\(756\) | 11.8119 | − | 7.03416i | 0.429594 | − | 0.255830i | ||||
\(757\) | −3.68036 | − | 5.72676i | −0.133765 | − | 0.208142i | 0.767909 | − | 0.640559i | \(-0.221297\pi\) |
−0.901674 | + | 0.432417i | \(0.857661\pi\) | |||||||
\(758\) | 5.01698 | + | 8.68967i | 0.182225 | + | 0.315623i | ||||
\(759\) | −21.3654 | − | 17.5500i | −0.775516 | − | 0.637026i | ||||
\(760\) | −0.323161 | + | 0.559732i | −0.0117223 | + | 0.0203036i | ||||
\(761\) | 1.23815 | − | 2.40168i | 0.0448829 | − | 0.0870607i | −0.865327 | − | 0.501207i | \(-0.832890\pi\) |
0.910210 | + | 0.414146i | \(0.135920\pi\) | |||||||
\(762\) | 6.40726 | + | 18.5503i | 0.232110 | + | 0.672007i | ||||
\(763\) | 6.84539 | + | 16.3638i | 0.247820 | + | 0.592408i | ||||
\(764\) | −19.2920 | + | 5.66463i | −0.697959 | + | 0.204939i | ||||
\(765\) | −10.0004 | − | 29.0123i | −0.361565 | − | 1.04894i | ||||
\(766\) | 0.657507 | + | 3.41147i | 0.0237567 | + | 0.123261i | ||||
\(767\) | −10.7712 | + | 26.9051i | −0.388925 | + | 0.971487i | ||||
\(768\) | −1.30971 | + | 1.13343i | −0.0472601 | + | 0.0408991i | ||||
\(769\) | 37.0244 | + | 32.0818i | 1.33513 | + | 1.15690i | 0.974550 | + | 0.224172i | \(0.0719677\pi\) |
0.360583 | + | 0.932727i | \(0.382578\pi\) | |||||||
\(770\) | 8.17312 | − | 29.5093i | 0.294539 | − | 1.06344i | ||||
\(771\) | 15.5260 | + | 1.49241i | 0.559154 | + | 0.0537479i | ||||
\(772\) | 12.7267 | + | 2.45287i | 0.458043 | + | 0.0882806i | ||||
\(773\) | −3.44949 | + | 3.28908i | −0.124069 | + | 0.118300i | −0.749574 | − | 0.661920i | \(-0.769742\pi\) |
0.625505 | + | 0.780220i | \(0.284893\pi\) | |||||||
\(774\) | 29.1618 | − | 18.6893i | 1.04820 | − | 0.671773i | ||||
\(775\) | −8.61154 | + | 24.8814i | −0.309336 | + | 0.893767i | ||||
\(776\) | −4.22384 | − | 9.24893i | −0.151627 | − | 0.332017i | ||||
\(777\) | 16.4342 | + | 27.5177i | 0.589573 | + | 0.987192i | ||||
\(778\) | 26.6486 | + | 12.1700i | 0.955399 | + | 0.436316i | ||||
\(779\) | −0.469986 | + | 0.188154i | −0.0168390 | + | 0.00674131i | ||||
\(780\) | 24.3314 | − | 14.0273i | 0.871205 | − | 0.502260i | ||||
\(781\) | −13.6158 | − | 7.86107i | −0.487211 | − | 0.281291i | ||||
\(782\) | −0.380339 | − | 14.1041i | −0.0136009 | − | 0.504363i | ||||
\(783\) | 5.94606 | − | 40.8086i | 0.212495 | − | 1.45838i | ||||
\(784\) | 4.23413 | + | 5.57424i | 0.151219 | + | 0.199080i | ||||
\(785\) | −14.7480 | − | 2.12045i | −0.526380 | − | 0.0756820i | ||||
\(786\) | 10.2514 | + | 15.9736i | 0.365657 | + | 0.569761i | ||||
\(787\) | 10.8962 | + | 2.64340i | 0.388409 | + | 0.0942269i | 0.425208 | − | 0.905096i | \(-0.360201\pi\) |
−0.0367991 | + | 0.999323i | \(0.511716\pi\) | |||||||
\(788\) | 0.213715 | − | 2.23812i | 0.00761327 | − | 0.0797298i | ||||
\(789\) | 30.5884 | − | 4.37829i | 1.08897 | − | 0.155871i | ||||
\(790\) | 3.88363 | + | 27.0112i | 0.138173 | + | 0.961017i | ||||
\(791\) | 19.2418 | − | 34.5461i | 0.684160 | − | 1.22832i | ||||
\(792\) | −9.70724 | + | 2.34202i | −0.344932 | + | 0.0832199i | ||||
\(793\) | −53.1080 | − | 2.52985i | −1.88592 | − | 0.0898375i | ||||
\(794\) | 10.4811 | + | 20.3305i | 0.371961 | + | 0.721504i | ||||
\(795\) | 47.7146 | − | 49.9786i | 1.69226 | − | 1.77256i | ||||
\(796\) | −19.5230 | + | 4.73624i | −0.691976 | + | 0.167871i | ||||
\(797\) | 2.63348 | + | 18.3162i | 0.0932826 | + | 0.648795i | 0.981795 | + | 0.189942i | \(0.0608301\pi\) |
−0.888513 | + | 0.458852i | \(0.848261\pi\) | |||||||
\(798\) | 0.0684347 | − | 0.849089i | 0.00242256 | − | 0.0300574i | ||||
\(799\) | −12.5367 | + | 5.72534i | −0.443518 | + | 0.202548i | ||||
\(800\) | 4.89215 | − | 5.13074i | 0.172964 | − | 0.181399i | ||||
\(801\) | −11.6024 | − | 0.0146049i | −0.409951 | − | 0.000516037i | ||||
\(802\) | 16.8111 | − | 21.3771i | 0.593621 | − | 0.754850i | ||||
\(803\) | 23.3044 | + | 12.0142i | 0.822393 | + | 0.423973i | ||||
\(804\) | 8.63694 | − | 4.44577i | 0.304601 | − | 0.156790i | ||||
\(805\) | −41.7662 | + | 14.2110i | −1.47207 | + | 0.500873i | ||||
\(806\) | 17.3205i | 0.610089i | ||||||||
\(807\) | 13.4868 | + | 0.00848842i | 0.474757 | + | 0.000298807i | ||||
\(808\) | 0.159081 | + | 0.125103i | 0.00559646 | + | 0.00440111i | ||||
\(809\) | −25.6914 | + | 18.2948i | −0.903263 | + | 0.643210i | −0.934369 | − | 0.356306i | \(-0.884036\pi\) |
0.0311069 | + | 0.999516i | \(0.490097\pi\) | |||||||
\(810\) | 28.4320 | + | 13.0711i | 0.998998 | + | 0.459270i | ||||
\(811\) | 5.49648 | + | 12.0356i | 0.193007 | + | 0.422627i | 0.981251 | − | 0.192737i | \(-0.0617363\pi\) |
−0.788243 | + | 0.615364i | \(0.789009\pi\) | |||||||
\(812\) | 20.9873 | + | 0.675912i | 0.736508 | + | 0.0237199i | ||||
\(813\) | −21.4374 | + | 15.2452i | −0.751841 | + | 0.534671i | ||||
\(814\) | −5.48869 | − | 22.6247i | −0.192378 | − | 0.792995i | ||||
\(815\) | 24.8324 | + | 71.7486i | 0.869842 | + | 2.51324i | ||||
\(816\) | −4.14895 | − | 2.95839i | −0.145242 | − | 0.103564i | ||||
\(817\) | 0.102119 | − | 2.14374i | 0.00357269 | − | 0.0750000i | ||||
\(818\) | −18.0828 | − | 15.6689i | −0.632252 | − | 0.547849i | ||||
\(819\) | −21.0427 | + | 30.4530i | −0.735291 | + | 1.06412i | ||||
\(820\) | 9.37285 | − | 1.34761i | 0.327314 | − | 0.0470607i | ||||
\(821\) | 28.6001 | + | 9.89858i | 0.998149 | + | 0.345463i | 0.776811 | − | 0.629734i | \(-0.216836\pi\) |
0.221339 | + | 0.975197i | \(0.428957\pi\) | |||||||
\(822\) | 8.91948 | − | 3.56431i | 0.311103 | − | 0.124320i | ||||
\(823\) | −12.2500 | + | 50.4952i | −0.427008 | + | 1.76015i | 0.198667 | + | 0.980067i | \(0.436339\pi\) |
−0.625675 | + | 0.780084i | \(0.715176\pi\) | |||||||
\(824\) | 12.9846 | − | 1.23987i | 0.452338 | − | 0.0431931i | ||||
\(825\) | 38.6321 | − | 13.3435i | 1.34500 | − | 0.464560i | ||||
\(826\) | −5.61623 | − | 15.4527i | −0.195414 | − | 0.537667i | ||||
\(827\) | 11.5562 | 0.401848 | 0.200924 | − | 0.979607i | \(-0.435606\pi\) | ||||
0.200924 | + | 0.979607i | \(0.435606\pi\) | |||||||
\(828\) | 10.6644 | + | 9.65764i | 0.370614 | + | 0.335626i | ||||
\(829\) | −15.8456 | + | 27.4453i | −0.550340 | + | 0.953216i | 0.447910 | + | 0.894079i | \(0.352168\pi\) |
−0.998250 | + | 0.0591378i | \(0.981165\pi\) | |||||||
\(830\) | 22.2135 | − | 1.05816i | 0.771042 | − | 0.0367293i | ||||
\(831\) | 20.5560 | + | 17.8345i | 0.713080 | + | 0.618673i | ||||
\(832\) | 1.93732 | − | 4.24214i | 0.0671644 | − | 0.147070i | ||||
\(833\) | −13.0003 | + | 15.9719i | −0.450433 | + | 0.553394i | ||||
\(834\) | −1.72644 | − | 1.35944i | −0.0597816 | − | 0.0470737i | ||||
\(835\) | −70.4484 | − | 24.3824i | −2.43797 | − | 0.843789i | ||||
\(836\) | −0.229963 | + | 0.574420i | −0.00795344 | + | 0.0198667i | ||||
\(837\) | −15.7412 | + | 11.1645i | −0.544096 | + | 0.385903i | ||||
\(838\) | −3.99528 | + | 20.7295i | −0.138015 | + | 0.716088i | ||||
\(839\) | 26.1236 | + | 16.7886i | 0.901886 | + | 0.579607i | 0.907349 | − | 0.420378i | \(-0.138103\pi\) |
−0.00546316 | + | 0.999985i | \(0.501739\pi\) | |||||||
\(840\) | −4.98828 | + | 15.1325i | −0.172112 | + | 0.522120i | ||||
\(841\) | 22.2579 | − | 25.6870i | 0.767515 | − | 0.885760i | ||||
\(842\) | 3.77454 | + | 15.5589i | 0.130079 | + | 0.536194i | ||||
\(843\) | −2.29593 | − | 24.2050i | −0.0790759 | − | 0.833665i | ||||
\(844\) | 1.76208 | − | 0.339614i | 0.0606535 | − | 0.0116900i | ||||
\(845\) | −17.6451 | + | 24.7791i | −0.607011 | + | 0.852428i | ||||
\(846\) | 4.61332 | − | 13.2752i | 0.158609 | − | 0.456412i | ||||
\(847\) | 0.0267228 | − | 0.208628i | 0.000918205 | − | 0.00716854i | ||||
\(848\) | 1.63288 | − | 11.3570i | 0.0560735 | − | 0.390000i | ||||
\(849\) | −56.5136 | − | 0.0355690i | −1.93954 | − | 0.00122072i | ||||
\(850\) | 18.0623 | + | 10.4283i | 0.619531 | + | 0.357686i | ||||
\(851\) | −22.4846 | + | 24.8915i | −0.770763 | + | 0.853270i | ||||
\(852\) | 6.87960 | + | 4.42737i | 0.235691 | + | 0.151679i | ||||
\(853\) | 0.701465 | − | 0.450804i | 0.0240177 | − | 0.0154352i | −0.528577 | − | 0.848885i | \(-0.677274\pi\) |
0.552595 | + | 0.833450i | \(0.313638\pi\) | |||||||
\(854\) | 23.4201 | − | 19.0089i | 0.801420 | − | 0.650471i | ||||
\(855\) | 1.68041 | − | 0.967370i | 0.0574690 | − | 0.0330833i | ||||
\(856\) | −11.0115 | + | 11.5486i | −0.376367 | + | 0.394722i | ||||
\(857\) | −1.12342 | + | 11.7649i | −0.0383752 | + | 0.401883i | 0.955793 | + | 0.294041i | \(0.0950002\pi\) |
−0.994168 | + | 0.107842i | \(0.965606\pi\) | |||||||
\(858\) | 21.1449 | − | 16.6070i | 0.721876 | − | 0.566955i | ||||
\(859\) | −9.59925 | + | 7.54893i | −0.327522 | + | 0.257566i | −0.768356 | − | 0.640022i | \(-0.778925\pi\) |
0.440834 | + | 0.897589i | \(0.354683\pi\) | |||||||
\(860\) | −11.3097 | + | 38.5173i | −0.385658 | + | 1.31343i | ||||
\(861\) | −10.3982 | + | 6.90174i | −0.354371 | + | 0.235211i | ||||
\(862\) | −8.74515 | + | 13.6077i | −0.297861 | + | 0.463480i | ||||
\(863\) | 24.2991 | + | 1.15751i | 0.827150 | + | 0.0394020i | 0.456887 | − | 0.889525i | \(-0.348964\pi\) |
0.370263 | + | 0.928927i | \(0.379268\pi\) | |||||||
\(864\) | 5.10410 | − | 0.973743i | 0.173645 | − | 0.0331274i | ||||
\(865\) | −40.5489 | − | 42.5264i | −1.37870 | − | 1.44594i | ||||
\(866\) | 24.4327 | − | 19.2141i | 0.830256 | − | 0.652921i | ||||
\(867\) | −5.38025 | + | 13.4147i | −0.182723 | + | 0.455589i | ||||
\(868\) | −6.54851 | − | 7.32623i | −0.222271 | − | 0.248669i | ||||
\(869\) | 7.36012 | + | 25.0663i | 0.249675 | + | 0.850315i | ||||
\(870\) | 25.8152 | + | 40.2249i | 0.875217 | + | 1.36375i | ||||
\(871\) | −16.1680 | + | 20.5593i | −0.547831 | + | 0.696624i | ||||
\(872\) | 0.319003 | + | 6.69669i | 0.0108028 | + | 0.226778i | ||||
\(873\) | −2.93774 | + | 30.3615i | −0.0994276 | + | 1.02758i | ||||
\(874\) | 0.870508 | − | 0.192250i | 0.0294454 | − | 0.00650296i | ||||
\(875\) | 4.24290 | − | 18.7453i | 0.143436 | − | 0.633706i | ||||
\(876\) | −11.8111 | − | 6.82904i | −0.399059 | − | 0.230732i | ||||
\(877\) | 5.54389 | − | 2.21944i | 0.187204 | − | 0.0749451i | −0.276167 | − | 0.961110i | \(-0.589064\pi\) |
0.463371 | + | 0.886165i | \(0.346640\pi\) | |||||||
\(878\) | 3.12647 | − | 2.22635i | 0.105513 | − | 0.0751357i | ||||
\(879\) | −27.8941 | + | 6.74844i | −0.940843 | + | 0.227619i | ||||
\(880\) | 6.71321 | − | 9.42739i | 0.226302 | − | 0.317797i | ||||
\(881\) | 22.7157 | + | 26.2154i | 0.765313 | + | 0.883218i | 0.995958 | − | 0.0898198i | \(-0.0286291\pi\) |
−0.230645 | + | 0.973038i | \(0.574084\pi\) | |||||||
\(882\) | −2.61299 | − | 20.8368i | −0.0879839 | − | 0.701612i | ||||
\(883\) | −3.47971 | − | 1.02174i | −0.117102 | − | 0.0343841i | 0.222657 | − | 0.974897i | \(-0.428527\pi\) |
−0.339758 | + | 0.940513i | \(0.610345\pi\) | |||||||
\(884\) | 13.4722 | + | 2.59656i | 0.453120 | + | 0.0873318i | ||||
\(885\) | 21.7275 | − | 30.4714i | 0.730363 | − | 1.02429i | ||||
\(886\) | 1.22506 | − | 0.631564i | 0.0411568 | − | 0.0212178i | ||||
\(887\) | −2.65603 | + | 13.7808i | −0.0891809 | + | 0.462715i | 0.909693 | + | 0.415280i | \(0.136317\pi\) |
−0.998874 | + | 0.0474341i | \(0.984896\pi\) | |||||||
\(888\) | 2.28517 | + | 11.8969i | 0.0766854 | + | 0.399234i | ||||
\(889\) | 29.8833 | + | 2.38960i | 1.00226 | + | 0.0801447i | ||||
\(890\) | 10.1626 | − | 8.80595i | 0.340651 | − | 0.295176i | ||||
\(891\) | 28.7225 | + | 8.51228i | 0.962239 | + | 0.285172i | ||||
\(892\) | −3.94770 | + | 16.2726i | −0.132179 | + | 0.544848i | ||||
\(893\) | −0.505124 | − | 0.709348i | −0.0169033 | − | 0.0237374i | ||||
\(894\) | 1.55457 | − | 1.79179i | 0.0519925 | − | 0.0599263i | ||||
\(895\) | −36.5703 | − | 56.9046i | −1.22241 | − | 1.90211i | ||||
\(896\) | 0.784412 | + | 2.52680i | 0.0262054 | + | 0.0844143i | ||||
\(897\) | −36.9288 | − | 11.7020i | −1.23302 | − | 0.390717i | ||||
\(898\) | 11.0760 | + | 19.1842i | 0.369610 | + | 0.640184i | ||||
\(899\) | −29.4430 | + | 1.40254i | −0.981978 | + | 0.0467774i | ||||
\(900\) | −20.4138 | + | 5.96613i | −0.680460 | + | 0.198871i | ||||
\(901\) | 33.6028 | − | 3.20868i | 1.11947 | − | 0.106897i | ||||
\(902\) | 8.69795 | − | 2.55395i | 0.289610 | − | 0.0850372i | ||||
\(903\) | −8.30260 | − | 52.2529i | −0.276293 | − | 1.73887i | ||||
\(904\) | 11.2954 | − | 9.78755i | 0.375680 | − | 0.325529i | ||||
\(905\) | 13.6591 | + | 17.3689i | 0.454043 | + | 0.577362i | ||||
\(906\) | 2.98729 | − | 8.61366i | 0.0992460 | − | 0.286170i | ||||
\(907\) | −14.0179 | + | 4.85165i | −0.465458 | + | 0.161096i | −0.549723 | − | 0.835347i | \(-0.685267\pi\) |
0.0842655 | + | 0.996443i | \(0.473146\pi\) | |||||||
\(908\) | 0.298077 | − | 6.25741i | 0.00989204 | − | 0.207660i | ||||
\(909\) | −0.224941 | − | 0.563932i | −0.00746083 | − | 0.0187045i | ||||
\(910\) | −4.73540 | − | 42.6389i | −0.156977 | − | 1.41347i | ||||
\(911\) | 49.1829 | + | 14.4414i | 1.62950 | + | 0.478465i | 0.963550 | − | 0.267529i | \(-0.0862071\pi\) |
0.665953 | + | 0.745994i | \(0.268025\pi\) | |||||||
\(912\) | 0.133934 | − | 0.292787i | 0.00443499 | − | 0.00969513i | ||||
\(913\) | 20.9050 | − | 4.02910i | 0.691854 | − | 0.133344i | ||||
\(914\) | 31.1152 | + | 2.97114i | 1.02920 | + | 0.0982767i | ||||
\(915\) | 65.8651 | + | 19.3848i | 2.17743 | + | 0.640841i | ||||
\(916\) | −18.3557 | − | 8.38276i | −0.606489 | − | 0.276974i | ||||
\(917\) | 28.6307 | − | 4.56769i | 0.945469 | − | 0.150838i | ||||
\(918\) | 6.32419 | + | 13.9175i | 0.208729 | + | 0.459347i | ||||
\(919\) | 27.8881 | − | 16.1012i | 0.919944 | − | 0.531130i | 0.0363266 | − | 0.999340i | \(-0.488434\pi\) |
0.883617 | + | 0.468210i | \(0.155101\pi\) | |||||||
\(920\) | −16.6714 | − | 0.344145i | −0.549639 | − | 0.0113461i | ||||
\(921\) | −3.89160 | − | 0.187835i | −0.128233 | − | 0.00618936i | ||||
\(922\) | 24.4326 | + | 12.5959i | 0.804643 | + | 0.414822i | ||||
\(923\) | −21.8036 | − | 3.13488i | −0.717673 | − | 0.103186i | ||||
\(924\) | −2.66513 | + | 15.0189i | −0.0876763 | + | 0.494085i | ||||
\(925\) | −13.9694 | − | 47.5755i | −0.459312 | − | 1.56427i | ||||
\(926\) | 10.5049 | + | 7.48048i | 0.345211 | + | 0.245824i | ||||
\(927\) | −35.5742 | − | 16.3003i | −1.16841 | − | 0.535373i | ||||
\(928\) | 7.36804 | + | 2.94972i | 0.241868 | + | 0.0968292i | ||||
\(929\) | 32.2656 | − | 7.82755i | 1.05860 | − | 0.256814i | 0.331578 | − | 0.943428i | \(-0.392419\pi\) |
0.727022 | + | 0.686614i | \(0.240904\pi\) | |||||||
\(930\) | 5.28684 | − | 21.7329i | 0.173362 | − | 0.712651i | ||||
\(931\) | −1.14639 | − | 0.615583i | −0.0375714 | − | 0.0201749i | ||||
\(932\) | 6.08790 | − | 9.47295i | 0.199416 | − | 0.310297i | ||||
\(933\) | 5.65041 | − | 1.65525i | 0.184986 | − | 0.0541904i | ||||
\(934\) | −19.4472 | − | 20.3956i | −0.636331 | − | 0.667365i | ||||
\(935\) | 31.6097 | + | 12.6546i | 1.03375 | + | 0.413851i | ||||
\(936\) | −11.4067 | + | 8.10106i | −0.372840 | + | 0.264792i | ||||
\(937\) | 1.60105 | − | 0.731176i | 0.0523041 | − | 0.0238865i | −0.389091 | − | 0.921199i | \(-0.627211\pi\) |
0.441395 | + | 0.897313i | \(0.354484\pi\) | |||||||
\(938\) | −0.934274 | − | 14.8089i | −0.0305051 | − | 0.483528i | ||||
\(939\) | 1.26454 | + | 26.9023i | 0.0412668 | + | 0.877923i | ||||
\(940\) | 6.05378 | + | 15.1216i | 0.197452 | + | 0.493212i | ||||
\(941\) | −1.16900 | − | 24.5402i | −0.0381082 | − | 0.799989i | −0.934336 | − | 0.356394i | \(-0.884006\pi\) |
0.896227 | − | 0.443595i | \(-0.146297\pi\) | |||||||
\(942\) | 7.41367 | + | 0.357833i | 0.241550 | + | 0.0116588i | ||||
\(943\) | −10.0979 | − | 8.28399i | −0.328832 | − | 0.269764i | ||||
\(944\) | − | 6.21435i | − | 0.202260i | ||||||
\(945\) | 35.6987 | − | 31.7880i | 1.16128 | − | 1.03406i | ||||
\(946\) | −5.46921 | + | 38.0392i | −0.177819 | + | 1.23676i | ||||
\(947\) | 0.594737 | + | 6.22837i | 0.0193264 | + | 0.202395i | 0.999978 | + | 0.00663385i | \(0.00211163\pi\) |
−0.980652 | + | 0.195761i | \(0.937282\pi\) | |||||||
\(948\) | −3.19660 | − | 13.2129i | −0.103821 | − | 0.429134i | ||||
\(949\) | 36.5682 | + | 3.49184i | 1.18705 | + | 0.113350i | ||||
\(950\) | −0.431011 | + | 1.24532i | −0.0139838 | + | 0.0404037i | ||||
\(951\) | 12.7659 | + | 17.9512i | 0.413964 | + | 0.582106i | ||||
\(952\) | −6.68019 | + | 3.99526i | −0.216506 | + | 0.129487i | ||||
\(953\) | 1.23467 | − | 1.42488i | 0.0399948 | − | 0.0461564i | −0.735400 | − | 0.677634i | \(-0.763006\pi\) |
0.775395 | + | 0.631477i | \(0.217551\pi\) | |||||||
\(954\) | −21.3118 | + | 27.0301i | −0.689997 | + | 0.875133i | ||||
\(955\) | −62.1378 | + | 32.0343i | −2.01073 | + | 1.03660i | ||||
\(956\) | 3.90910 | − | 1.35295i | 0.126429 | − | 0.0437577i | ||||
\(957\) | 29.9423 | + | 34.5993i | 0.967898 | + | 1.11844i | ||||
\(958\) | 19.2495 | − | 2.76766i | 0.621922 | − | 0.0894189i | ||||
\(959\) | 0.472289 | − | 14.6647i | 0.0152510 | − | 0.473548i | ||||
\(960\) | −3.72570 | + | 4.73148i | −0.120246 | + | 0.152708i | ||||
\(961\) | −12.4527 | − | 11.8736i | −0.401700 | − | 0.383020i | ||||
\(962\) | −18.9204 | − | 26.5700i | −0.610018 | − | 0.856650i | ||||
\(963\) | 45.9486 | − | 13.4289i | 1.48067 | − | 0.432741i | ||||
\(964\) | 8.73114 | − | 16.9360i | 0.281211 | − | 0.545473i | ||||
\(965\) | 45.0645 | 1.45068 | ||||||||
\(966\) | 20.0444 | − | 9.01230i | 0.644918 | − | 0.289966i | ||||
\(967\) | −1.26942 | −0.0408217 | −0.0204108 | − | 0.999792i | \(-0.506497\pi\) | ||||
−0.0204108 | + | 0.999792i | \(0.506497\pi\) | |||||||
\(968\) | 0.0364282 | − | 0.0706608i | 0.00117085 | − | 0.00227112i | ||||
\(969\) | 0.929990 | + | 0.179848i | 0.0298756 | + | 0.00577755i | ||||
\(970\) | −20.5067 | − | 28.7976i | −0.658431 | − | 0.924637i | ||||
\(971\) | −44.2658 | − | 42.2074i | −1.42056 | − | 1.35450i | −0.842724 | − | 0.538346i | \(-0.819049\pi\) |
−0.577835 | − | 0.816154i | \(-0.696102\pi\) | |||||||
\(972\) | −14.7150 | − | 5.14482i | −0.471983 | − | 0.165020i | ||||
\(973\) | −2.95944 | + | 1.58387i | −0.0948752 | + | 0.0507765i | ||||
\(974\) | −35.3180 | + | 5.07796i | −1.13166 | + | 0.162708i | ||||
\(975\) | 43.3007 | − | 37.4726i | 1.38673 | − | 1.20008i | ||||
\(976\) | 10.7737 | − | 3.72882i | 0.344858 | − | 0.119357i | ||||
\(977\) | −36.4709 | + | 18.8020i | −1.16681 | + | 0.601530i | −0.929108 | − | 0.369809i | \(-0.879423\pi\) |
−0.237698 | + | 0.971339i | \(0.576393\pi\) | |||||||
\(978\) | −15.6901 | − | 34.4138i | −0.501713 | − | 1.10043i | ||||
\(979\) | 8.43017 | − | 9.72894i | 0.269430 | − | 0.310938i | ||||
\(980\) | 18.1238 | + | 16.2450i | 0.578944 | + | 0.518929i | ||||
\(981\) | 9.23873 | − | 17.8654i | 0.294970 | − | 0.570398i | ||||
\(982\) | −3.91212 | + | 11.3033i | −0.124841 | + | 0.360704i | ||||
\(983\) | 18.9932 | + | 1.81363i | 0.605789 | + | 0.0578458i | 0.393444 | − | 0.919349i | \(-0.371284\pi\) |
0.212346 | + | 0.977195i | \(0.431890\pi\) | |||||||
\(984\) | −4.58484 | + | 1.10921i | −0.146159 | + | 0.0353605i | ||||
\(985\) | −0.743078 | − | 7.78186i | −0.0236764 | − | 0.247951i | ||||
\(986\) | −3.32294 | + | 23.1116i | −0.105824 | + | 0.736022i | ||||
\(987\) | −15.7542 | − | 14.5833i | −0.501461 | − | 0.464192i | ||||
\(988\) | 0.866899i | 0.0275797i | ||||||||
\(989\) | 49.7284 | − | 24.3511i | 1.58127 | − | 0.774320i | ||||
\(990\) | −31.6007 | + | 14.3835i | −1.00433 | + | 0.457137i | ||||
\(991\) | −0.598636 | − | 12.5669i | −0.0190163 | − | 0.399201i | −0.988230 | − | 0.152978i | \(-0.951114\pi\) |
0.969213 | − | 0.246223i | \(-0.0791895\pi\) | |||||||
\(992\) | −1.38035 | − | 3.44796i | −0.0438263 | − | 0.109473i | ||||
\(993\) | −22.2977 | + | 1.04810i | −0.707595 | + | 0.0332606i | ||||
\(994\) | 10.4077 | − | 6.91746i | 0.330112 | − | 0.219408i | ||||
\(995\) | −63.5376 | + | 29.0166i | −2.01428 | + | 0.919890i | ||||
\(996\) | −10.9665 | + | 1.56969i | −0.347486 | + | 0.0497377i | ||||
\(997\) | −28.1270 | − | 11.2604i | −0.890793 | − | 0.356620i | −0.119300 | − | 0.992858i | \(-0.538065\pi\) |
−0.771492 | + | 0.636239i | \(0.780489\pi\) | |||||||
\(998\) | −25.6907 | − | 26.9436i | −0.813225 | − | 0.852885i | ||||
\(999\) | 11.9515 | − | 34.3218i | 0.378129 | − | 1.08589i |
(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 | 966.2.bf.a.11.18 | ✓ | 1280 | |
3.2 | odd | 2 | inner | 966.2.bf.a.11.36 | yes | 1280 | |
7.2 | even | 3 | inner | 966.2.bf.a.149.56 | yes | 1280 | |
21.2 | odd | 6 | inner | 966.2.bf.a.149.18 | yes | 1280 | |
23.21 | odd | 22 | inner | 966.2.bf.a.389.18 | yes | 1280 | |
69.44 | even | 22 | inner | 966.2.bf.a.389.56 | yes | 1280 | |
161.44 | odd | 66 | inner | 966.2.bf.a.527.36 | yes | 1280 | |
483.44 | even | 66 | inner | 966.2.bf.a.527.18 | yes | 1280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.bf.a.11.18 | ✓ | 1280 | 1.1 | even | 1 | trivial | |
966.2.bf.a.11.36 | yes | 1280 | 3.2 | odd | 2 | inner | |
966.2.bf.a.149.18 | yes | 1280 | 21.2 | odd | 6 | inner | |
966.2.bf.a.149.56 | yes | 1280 | 7.2 | even | 3 | inner | |
966.2.bf.a.389.18 | yes | 1280 | 23.21 | odd | 22 | inner | |
966.2.bf.a.389.56 | yes | 1280 | 69.44 | even | 22 | inner | |
966.2.bf.a.527.18 | yes | 1280 | 483.44 | even | 66 | inner | |
966.2.bf.a.527.36 | yes | 1280 | 161.44 | odd | 66 | inner |