Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(3,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(336))
chi = DirichletCharacter(H, H._module([21, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bm (of order \(336\), degree \(96\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(6144\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{336})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{336}]$ |
Embedding invariants
Embedding label | 3.12 | ||
Character | \(\chi\) | \(=\) | 731.3 |
Dual form | 731.2.bm.a.244.12 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.118949 | + | 2.11808i | −0.0841094 | + | 1.49771i | 0.618305 | + | 0.785938i | \(0.287820\pi\) |
−0.702415 | + | 0.711768i | \(0.747895\pi\) | |||||||
\(3\) | 1.78091 | + | 0.495087i | 1.02821 | + | 0.285838i | 0.740627 | − | 0.671917i | \(-0.234529\pi\) |
0.287584 | + | 0.957755i | \(0.407148\pi\) | |||||||
\(4\) | −2.48467 | − | 0.279955i | −1.24234 | − | 0.139978i | ||||
\(5\) | 2.82526 | − | 0.842630i | 1.26349 | − | 0.376835i | 0.416840 | − | 0.908980i | \(-0.363137\pi\) |
0.846654 | + | 0.532144i | \(0.178614\pi\) | |||||||
\(6\) | −1.26047 | + | 3.71322i | −0.514584 | + | 1.51592i | ||||
\(7\) | −0.237309 | + | 3.62064i | −0.0896944 | + | 1.36847i | 0.681475 | + | 0.731841i | \(0.261339\pi\) |
−0.771169 | + | 0.636630i | \(0.780328\pi\) | |||||||
\(8\) | 0.177815 | − | 1.04655i | 0.0628673 | − | 0.370010i | ||||
\(9\) | 0.356968 | + | 0.215094i | 0.118989 | + | 0.0716981i | ||||
\(10\) | 1.44869 | + | 6.08434i | 0.458117 | + | 1.92404i | ||||
\(11\) | −1.29250 | − | 0.667722i | −0.389704 | − | 0.201326i | 0.252955 | − | 0.967478i | \(-0.418597\pi\) |
−0.642659 | + | 0.766152i | \(0.722169\pi\) | |||||||
\(12\) | −4.28639 | − | 1.72871i | −1.23737 | − | 0.499034i | ||||
\(13\) | −4.65718 | − | 0.174259i | −1.29167 | − | 0.0483308i | −0.617301 | − | 0.786727i | \(-0.711774\pi\) |
−0.674367 | + | 0.738396i | \(0.735584\pi\) | |||||||
\(14\) | −7.64055 | − | 0.933308i | −2.04202 | − | 0.249437i | ||||
\(15\) | 5.44872 | − | 0.101903i | 1.40685 | − | 0.0263111i | ||||
\(16\) | −2.67990 | − | 0.611669i | −0.669974 | − | 0.152917i | ||||
\(17\) | 3.46374 | − | 2.23663i | 0.840081 | − | 0.542462i | ||||
\(18\) | −0.498047 | + | 0.730501i | −0.117391 | + | 0.172181i | ||||
\(19\) | 2.63644 | + | 4.37541i | 0.604842 | + | 1.00379i | 0.996493 | + | 0.0836752i | \(0.0266658\pi\) |
−0.391651 | + | 0.920114i | \(0.628096\pi\) | |||||||
\(20\) | −7.25574 | + | 1.30271i | −1.62243 | + | 0.291295i | ||||
\(21\) | −2.21516 | + | 6.33055i | −0.483387 | + | 1.38144i | ||||
\(22\) | 1.56803 | − | 2.65819i | 0.334304 | − | 0.566728i | ||||
\(23\) | 2.55785 | + | 3.98755i | 0.533349 | + | 0.831461i | 0.998555 | − | 0.0537420i | \(-0.0171148\pi\) |
−0.465206 | + | 0.885203i | \(0.654020\pi\) | |||||||
\(24\) | 0.834806 | − | 1.77578i | 0.170404 | − | 0.362479i | ||||
\(25\) | 3.08892 | − | 2.02243i | 0.617784 | − | 0.404487i | ||||
\(26\) | 0.923059 | − | 9.84353i | 0.181027 | − | 1.93047i | ||||
\(27\) | −3.28040 | − | 3.46979i | −0.631313 | − | 0.667761i | ||||
\(28\) | 1.60325 | − | 8.92966i | 0.302986 | − | 1.68755i | ||||
\(29\) | 4.11470 | − | 3.21889i | 0.764080 | − | 0.597732i | −0.156776 | − | 0.987634i | \(-0.550110\pi\) |
0.920856 | + | 0.389902i | \(0.127491\pi\) | |||||||
\(30\) | −0.432280 | + | 11.5529i | −0.0789231 | + | 2.10926i | ||||
\(31\) | 3.29342 | + | 7.74538i | 0.591515 | + | 1.39111i | 0.898321 | + | 0.439339i | \(0.144787\pi\) |
−0.306806 | + | 0.951772i | \(0.599260\pi\) | |||||||
\(32\) | 2.20208 | − | 7.64358i | 0.389276 | − | 1.35121i | ||||
\(33\) | −1.97125 | − | 1.82905i | −0.343151 | − | 0.318398i | ||||
\(34\) | 4.32534 | + | 7.60251i | 0.741789 | + | 1.30382i | ||||
\(35\) | 2.38040 | + | 10.4292i | 0.402360 | + | 1.76286i | ||||
\(36\) | −0.826733 | − | 0.634375i | −0.137789 | − | 0.105729i | ||||
\(37\) | −4.63149 | − | 4.06170i | −0.761411 | − | 0.667740i | 0.187861 | − | 0.982196i | \(-0.439845\pi\) |
−0.949272 | + | 0.314456i | \(0.898178\pi\) | |||||||
\(38\) | −9.58106 | + | 5.06374i | −1.55425 | + | 0.821447i | ||||
\(39\) | −8.20776 | − | 2.61605i | −1.31429 | − | 0.418903i | ||||
\(40\) | −0.379477 | − | 3.10660i | −0.0600006 | − | 0.491196i | ||||
\(41\) | 7.25160 | − | 4.27761i | 1.13251 | − | 0.668050i | 0.183413 | − | 0.983036i | \(-0.441286\pi\) |
0.949096 | + | 0.314986i | \(0.102000\pi\) | |||||||
\(42\) | −13.1451 | − | 5.44488i | −2.02833 | − | 0.840163i | ||||
\(43\) | −1.86386 | + | 6.28697i | −0.284236 | + | 0.958754i | ||||
\(44\) | 3.02451 | + | 2.02091i | 0.455962 | + | 0.304664i | ||||
\(45\) | 1.18977 | + | 0.306905i | 0.177361 | + | 0.0457507i | ||||
\(46\) | −8.75018 | + | 4.94341i | −1.29014 | + | 0.728867i | ||||
\(47\) | 0.246974 | − | 2.19196i | 0.0360249 | − | 0.319730i | −0.962756 | − | 0.270371i | \(-0.912854\pi\) |
0.998781 | − | 0.0493587i | \(-0.0157177\pi\) | |||||||
\(48\) | −4.46983 | − | 2.41611i | −0.645165 | − | 0.348735i | ||||
\(49\) | −6.11257 | − | 0.804735i | −0.873224 | − | 0.114962i | ||||
\(50\) | 3.91625 | + | 6.78314i | 0.553841 | + | 0.959280i | ||||
\(51\) | 7.27595 | − | 2.26839i | 1.01884 | − | 0.317638i | ||||
\(52\) | 11.5228 | + | 1.73678i | 1.59792 | + | 0.240848i | ||||
\(53\) | 6.06960 | + | 2.25210i | 0.833723 | + | 0.309349i | 0.728454 | − | 0.685095i | \(-0.240239\pi\) |
0.105269 | + | 0.994444i | \(0.466430\pi\) | |||||||
\(54\) | 7.73948 | − | 6.53540i | 1.05321 | − | 0.889356i | ||||
\(55\) | −4.21429 | − | 0.797387i | −0.568255 | − | 0.107520i | ||||
\(56\) | 3.74697 | + | 0.892160i | 0.500710 | + | 0.119220i | ||||
\(57\) | 2.52907 | + | 9.09750i | 0.334983 | + | 1.20499i | ||||
\(58\) | 6.32841 | + | 9.09813i | 0.830961 | + | 1.19464i | ||||
\(59\) | −3.31844 | − | 2.35456i | −0.432025 | − | 0.306538i | 0.341992 | − | 0.939703i | \(-0.388898\pi\) |
−0.774017 | + | 0.633165i | \(0.781755\pi\) | |||||||
\(60\) | −13.5668 | − | 1.27220i | −1.75147 | − | 0.164241i | ||||
\(61\) | 11.3732 | − | 4.58681i | 1.45618 | − | 0.587280i | 0.496417 | − | 0.868084i | \(-0.334649\pi\) |
0.959765 | + | 0.280804i | \(0.0906009\pi\) | |||||||
\(62\) | −16.7971 | + | 6.05441i | −2.13323 | + | 0.768911i | ||||
\(63\) | −0.863490 | + | 1.24141i | −0.108790 | + | 0.156403i | ||||
\(64\) | 10.7386 | + | 3.75761i | 1.34233 | + | 0.469701i | ||||
\(65\) | −13.3046 | + | 3.43195i | −1.65023 | + | 0.425681i | ||||
\(66\) | 4.10855 | − | 3.95770i | 0.505728 | − | 0.487159i | ||||
\(67\) | −1.78060 | − | 11.8135i | −0.217535 | − | 1.44325i | −0.784816 | − | 0.619729i | \(-0.787243\pi\) |
0.567281 | − | 0.823524i | \(-0.307995\pi\) | |||||||
\(68\) | −9.23242 | + | 4.58759i | −1.11960 | + | 0.556327i | ||||
\(69\) | 2.58113 | + | 8.36783i | 0.310732 | + | 1.00737i | ||||
\(70\) | −22.3730 | + | 3.80132i | −2.67408 | + | 0.454345i | ||||
\(71\) | −4.48536 | − | 2.87718i | −0.532314 | − | 0.341458i | 0.246065 | − | 0.969253i | \(-0.420862\pi\) |
−0.778379 | + | 0.627795i | \(0.783958\pi\) | |||||||
\(72\) | 0.288581 | − | 0.335337i | 0.0340096 | − | 0.0395199i | ||||
\(73\) | 1.92457 | − | 8.08297i | 0.225254 | − | 0.946040i | −0.737433 | − | 0.675421i | \(-0.763962\pi\) |
0.962686 | − | 0.270619i | \(-0.0872285\pi\) | |||||||
\(74\) | 9.15391 | − | 9.32670i | 1.06412 | − | 1.08421i | ||||
\(75\) | 6.50238 | − | 2.07250i | 0.750830 | − | 0.239311i | ||||
\(76\) | −5.32578 | − | 11.6096i | −0.610909 | − | 1.33171i | ||||
\(77\) | 2.72430 | − | 4.52122i | 0.310463 | − | 0.515241i | ||||
\(78\) | 6.51729 | − | 17.0735i | 0.737938 | − | 1.93319i | ||||
\(79\) | 11.8776 | − | 10.4164i | 1.33634 | − | 1.17194i | 0.365884 | − | 0.930661i | \(-0.380767\pi\) |
0.970456 | − | 0.241278i | \(-0.0775666\pi\) | |||||||
\(80\) | −8.08681 | + | 0.530037i | −0.904132 | + | 0.0592600i | ||||
\(81\) | −4.70848 | − | 8.90888i | −0.523164 | − | 0.989875i | ||||
\(82\) | 8.19773 | + | 15.8682i | 0.905288 | + | 1.75235i | ||||
\(83\) | −5.78810 | + | 1.90463i | −0.635327 | + | 0.209060i | −0.612239 | − | 0.790673i | \(-0.709731\pi\) |
−0.0230882 | + | 0.999733i | \(0.507350\pi\) | |||||||
\(84\) | 7.27621 | − | 15.1092i | 0.793900 | − | 1.64855i | ||||
\(85\) | 7.90132 | − | 9.23770i | 0.857018 | − | 1.00197i | ||||
\(86\) | −13.0946 | − | 4.69562i | −1.41203 | − | 0.506342i | ||||
\(87\) | 8.92155 | − | 3.69543i | 0.956490 | − | 0.396191i | ||||
\(88\) | −0.928629 | + | 1.23393i | −0.0989922 | + | 0.131538i | ||||
\(89\) | 0.0380444 | − | 0.0327399i | 0.00403270 | − | 0.00347042i | −0.650269 | − | 0.759704i | \(-0.725344\pi\) |
0.654301 | + | 0.756234i | \(0.272963\pi\) | |||||||
\(90\) | −0.791570 | + | 2.48352i | −0.0834388 | + | 0.261786i | ||||
\(91\) | 1.73612 | − | 16.8206i | 0.181995 | − | 1.76328i | ||||
\(92\) | −5.23909 | − | 10.6238i | −0.546213 | − | 1.10761i | ||||
\(93\) | 2.03066 | + | 15.4244i | 0.210569 | + | 1.59943i | ||||
\(94\) | 4.61335 | + | 0.783840i | 0.475831 | + | 0.0808469i | ||||
\(95\) | 11.1355 | + | 10.1401i | 1.14248 | + | 1.04036i | ||||
\(96\) | 7.70594 | − | 12.5223i | 0.786485 | − | 1.27806i | ||||
\(97\) | 0.501696 | − | 5.94785i | 0.0509395 | − | 0.603913i | −0.924140 | − | 0.382055i | \(-0.875216\pi\) |
0.975079 | − | 0.221858i | \(-0.0712121\pi\) | |||||||
\(98\) | 2.43157 | − | 12.8512i | 0.245626 | − | 1.29816i | ||||
\(99\) | −0.317759 | − | 0.516365i | −0.0319360 | − | 0.0518967i | ||||
\(100\) | −8.24115 | + | 4.16033i | −0.824115 | + | 0.416033i | ||||
\(101\) | −15.4268 | − | 6.05458i | −1.53502 | − | 0.602453i | −0.560784 | − | 0.827962i | \(-0.689500\pi\) |
−0.974241 | + | 0.225509i | \(0.927595\pi\) | |||||||
\(102\) | 3.93915 | + | 15.6808i | 0.390034 | + | 1.55263i | ||||
\(103\) | −12.3309 | + | 3.80357i | −1.21500 | + | 0.374777i | −0.835020 | − | 0.550220i | \(-0.814544\pi\) |
−0.379976 | + | 0.924996i | \(0.624068\pi\) | |||||||
\(104\) | −1.01049 | + | 4.84297i | −0.0990866 | + | 0.474892i | ||||
\(105\) | −0.924077 | + | 19.7520i | −0.0901807 | + | 1.92760i | ||||
\(106\) | −5.49208 | + | 12.5880i | −0.533438 | + | 1.22265i | ||||
\(107\) | 17.5793 | + | 10.3698i | 1.69946 | + | 1.00248i | 0.932779 | + | 0.360449i | \(0.117377\pi\) |
0.766676 | + | 0.642034i | \(0.221909\pi\) | |||||||
\(108\) | 7.17933 | + | 9.53966i | 0.690831 | + | 0.917954i | ||||
\(109\) | 9.97435 | + | 2.17867i | 0.955370 | + | 0.208679i | 0.663833 | − | 0.747881i | \(-0.268929\pi\) |
0.291537 | + | 0.956560i | \(0.405833\pi\) | |||||||
\(110\) | 2.19021 | − | 8.83134i | 0.208828 | − | 0.842035i | ||||
\(111\) | −6.23738 | − | 9.52653i | −0.592026 | − | 0.904218i | ||||
\(112\) | 2.85059 | − | 9.55777i | 0.269356 | − | 0.903124i | ||||
\(113\) | 0.209479 | − | 7.46611i | 0.0197061 | − | 0.702353i | −0.926036 | − | 0.377435i | \(-0.876806\pi\) |
0.945742 | − | 0.324918i | \(-0.105337\pi\) | |||||||
\(114\) | −19.5700 | + | 4.27462i | −1.83290 | + | 0.400355i | ||||
\(115\) | 10.5866 | + | 9.11052i | 0.987207 | + | 0.849561i | ||||
\(116\) | −11.1248 | + | 6.84595i | −1.03291 | + | 0.635631i | ||||
\(117\) | −1.62498 | − | 1.06394i | −0.150230 | − | 0.0983611i | ||||
\(118\) | 5.38187 | − | 6.74865i | 0.495441 | − | 0.621263i | ||||
\(119\) | 7.27603 | + | 13.0717i | 0.666993 | + | 1.19828i | ||||
\(120\) | 0.862220 | − | 5.72046i | 0.0787096 | − | 0.522204i | ||||
\(121\) | −5.14068 | − | 7.24511i | −0.467334 | − | 0.658646i | ||||
\(122\) | 8.36239 | + | 24.6348i | 0.757095 | + | 2.23033i | ||||
\(123\) | 15.0323 | − | 4.02788i | 1.35541 | − | 0.363182i | ||||
\(124\) | −6.01471 | − | 20.1668i | −0.540137 | − | 1.81103i | ||||
\(125\) | −2.48776 | + | 2.94611i | −0.222512 | + | 0.263508i | ||||
\(126\) | −2.52669 | − | 1.97660i | −0.225095 | − | 0.176090i | ||||
\(127\) | −5.35668 | + | 4.78702i | −0.475329 | + | 0.424780i | −0.869256 | − | 0.494362i | \(-0.835402\pi\) |
0.393928 | + | 0.919141i | \(0.371116\pi\) | |||||||
\(128\) | −3.14817 | + | 7.60035i | −0.278261 | + | 0.671782i | ||||
\(129\) | −6.43197 | + | 10.2738i | −0.566303 | + | 0.904556i | ||||
\(130\) | −5.68657 | − | 28.5883i | −0.498745 | − | 2.50736i | ||||
\(131\) | 0.0587129 | + | 0.415883i | 0.00512977 | + | 0.0363359i | 0.992579 | − | 0.121599i | \(-0.0388021\pi\) |
−0.987450 | + | 0.157935i | \(0.949516\pi\) | |||||||
\(132\) | 4.38586 | + | 5.09647i | 0.381740 | + | 0.443590i | ||||
\(133\) | −16.4674 | + | 8.50728i | −1.42791 | + | 0.737674i | ||||
\(134\) | 25.2338 | − | 2.36625i | 2.17987 | − | 0.204413i | ||||
\(135\) | −12.1917 | − | 7.03889i | −1.04930 | − | 0.605811i | ||||
\(136\) | −1.72483 | − | 4.02267i | −0.147903 | − | 0.344942i | ||||
\(137\) | −15.1417 | + | 3.45598i | −1.29364 | + | 0.295265i | −0.813313 | − | 0.581826i | \(-0.802339\pi\) |
−0.480325 | + | 0.877090i | \(0.659481\pi\) | |||||||
\(138\) | −18.0307 | + | 4.47170i | −1.53488 | + | 0.380656i | ||||
\(139\) | −7.50042 | − | 10.3641i | −0.636177 | − | 0.879075i | 0.362421 | − | 0.932015i | \(-0.381950\pi\) |
−0.998598 | + | 0.0529398i | \(0.983141\pi\) | |||||||
\(140\) | −2.99480 | − | 26.5795i | −0.253106 | − | 2.24638i | ||||
\(141\) | 1.52505 | − | 3.78141i | 0.128432 | − | 0.318452i | ||||
\(142\) | 6.62761 | − | 9.15809i | 0.556177 | − | 0.768530i | ||||
\(143\) | 5.90305 | + | 3.33493i | 0.493638 | + | 0.278881i | ||||
\(144\) | −0.825071 | − | 0.794777i | −0.0687559 | − | 0.0662314i | ||||
\(145\) | 8.91276 | − | 12.5614i | 0.740164 | − | 1.04316i | ||||
\(146\) | 16.8914 | + | 5.03784i | 1.39794 | + | 0.416935i | ||||
\(147\) | −10.4875 | − | 4.45942i | −0.864998 | − | 0.367806i | ||||
\(148\) | 10.3706 | + | 11.3886i | 0.852461 | + | 0.936138i | ||||
\(149\) | −3.46477 | − | 1.51166i | −0.283845 | − | 0.123840i | 0.253146 | − | 0.967428i | \(-0.418535\pi\) |
−0.536992 | + | 0.843588i | \(0.680439\pi\) | |||||||
\(150\) | 3.61625 | + | 14.0191i | 0.295266 | + | 1.14465i | ||||
\(151\) | −13.2535 | + | 14.8307i | −1.07856 | + | 1.20691i | −0.101300 | + | 0.994856i | \(0.532300\pi\) |
−0.977259 | + | 0.212051i | \(0.931986\pi\) | |||||||
\(152\) | 5.04788 | − | 1.98115i | 0.409437 | − | 0.160692i | ||||
\(153\) | 1.71753 | − | 0.0533737i | 0.138854 | − | 0.00431501i | ||||
\(154\) | 9.25223 | + | 6.30806i | 0.745566 | + | 0.508318i | ||||
\(155\) | 15.8312 | + | 19.1076i | 1.27160 | + | 1.53476i | ||||
\(156\) | 19.6612 | + | 8.79783i | 1.57416 | + | 0.704390i | ||||
\(157\) | 10.5797 | − | 4.61587i | 0.844351 | − | 0.368386i | 0.0672297 | − | 0.997738i | \(-0.478584\pi\) |
0.777121 | + | 0.629351i | \(0.216679\pi\) | |||||||
\(158\) | 20.6499 | + | 26.3968i | 1.64282 | + | 2.10002i | ||||
\(159\) | 9.69444 | + | 7.01577i | 0.768819 | + | 0.556386i | ||||
\(160\) | −0.219269 | − | 23.4506i | −0.0173348 | − | 1.85393i | ||||
\(161\) | −15.0444 | + | 8.31477i | −1.18567 | + | 0.655296i | ||||
\(162\) | 19.4297 | − | 8.91322i | 1.52655 | − | 0.700289i | ||||
\(163\) | −8.49845 | + | 9.33266i | −0.665650 | + | 0.730991i | −0.975550 | − | 0.219779i | \(-0.929467\pi\) |
0.309899 | + | 0.950769i | \(0.399705\pi\) | |||||||
\(164\) | −19.2154 | + | 8.59833i | −1.50047 | + | 0.671417i | ||||
\(165\) | −7.11051 | − | 3.50652i | −0.553553 | − | 0.272982i | ||||
\(166\) | −3.34567 | − | 12.4862i | −0.259674 | − | 0.969117i | ||||
\(167\) | 1.99070 | − | 3.68282i | 0.154045 | − | 0.284985i | −0.791068 | − | 0.611728i | \(-0.790475\pi\) |
0.945113 | + | 0.326743i | \(0.105951\pi\) | |||||||
\(168\) | 6.23133 | + | 3.44393i | 0.480757 | + | 0.265705i | ||||
\(169\) | 8.69529 | + | 0.651622i | 0.668868 | + | 0.0501248i | ||||
\(170\) | 18.6263 | + | 17.8344i | 1.42857 | + | 1.36784i | ||||
\(171\) | 2.12897i | 0.162806i | ||||||||
\(172\) | 6.39115 | − | 15.0993i | 0.487321 | − | 1.15131i | ||||
\(173\) | 2.32365 | + | 0.462202i | 0.176664 | + | 0.0351406i | 0.282629 | − | 0.959229i | \(-0.408793\pi\) |
−0.105966 | + | 0.994370i | \(0.533793\pi\) | |||||||
\(174\) | 6.76599 | + | 19.3361i | 0.512928 | + | 1.46586i | ||||
\(175\) | 6.58947 | + | 11.6638i | 0.498117 | + | 0.881700i | ||||
\(176\) | 3.05534 | + | 2.58001i | 0.230305 | + | 0.194475i | ||||
\(177\) | −4.74415 | − | 5.83619i | −0.356592 | − | 0.438675i | ||||
\(178\) | 0.0648202 | + | 0.0844754i | 0.00485848 | + | 0.00633170i | ||||
\(179\) | 12.5145 | − | 1.64757i | 0.935378 | − | 0.123145i | 0.352598 | − | 0.935775i | \(-0.385298\pi\) |
0.582780 | + | 0.812630i | \(0.301965\pi\) | |||||||
\(180\) | −2.87028 | − | 1.09564i | −0.213938 | − | 0.0816644i | ||||
\(181\) | 0.382623 | + | 8.17850i | 0.0284401 | + | 0.607903i | 0.965761 | + | 0.259435i | \(0.0835363\pi\) |
−0.937320 | + | 0.348469i | \(0.886702\pi\) | |||||||
\(182\) | 35.4208 | + | 5.67802i | 2.62556 | + | 0.420883i | ||||
\(183\) | 22.5255 | − | 2.53801i | 1.66513 | − | 0.187615i | ||||
\(184\) | 4.62798 | − | 1.96787i | 0.341179 | − | 0.145073i | ||||
\(185\) | −16.5077 | − | 7.57274i | −1.21367 | − | 0.556759i | ||||
\(186\) | −32.9116 | + | 2.46638i | −2.41319 | + | 0.180844i | ||||
\(187\) | −5.97033 | + | 0.578026i | −0.436594 | + | 0.0422695i | ||||
\(188\) | −1.22730 | + | 5.37715i | −0.0895100 | + | 0.392169i | ||||
\(189\) | 13.3413 | − | 11.0537i | 0.970437 | − | 0.804039i | ||||
\(190\) | −22.8021 | + | 22.3797i | −1.65424 | + | 1.62359i | ||||
\(191\) | −2.48482 | − | 1.83388i | −0.179796 | − | 0.132695i | 0.500204 | − | 0.865907i | \(-0.333258\pi\) |
−0.680000 | + | 0.733212i | \(0.738020\pi\) | |||||||
\(192\) | 17.2642 | + | 12.0085i | 1.24594 | + | 0.866641i | ||||
\(193\) | −7.83034 | + | 5.89293i | −0.563640 | + | 0.424183i | −0.844492 | − | 0.535569i | \(-0.820097\pi\) |
0.280852 | + | 0.959751i | \(0.409383\pi\) | |||||||
\(194\) | 12.5383 | + | 1.77012i | 0.900200 | + | 0.127087i | ||||
\(195\) | −25.3934 | − | 0.474911i | −1.81846 | − | 0.0340091i | ||||
\(196\) | 14.9625 | + | 3.71075i | 1.06875 | + | 0.265054i | ||||
\(197\) | 5.47414 | + | 13.5733i | 0.390016 | + | 0.967060i | 0.986400 | + | 0.164360i | \(0.0525560\pi\) |
−0.596384 | + | 0.802699i | \(0.703396\pi\) | |||||||
\(198\) | 1.13150 | − | 0.611616i | 0.0804120 | − | 0.0434657i | ||||
\(199\) | 9.98728 | − | 3.81235i | 0.707980 | − | 0.270250i | 0.0239593 | − | 0.999713i | \(-0.492373\pi\) |
0.684020 | + | 0.729463i | \(0.260230\pi\) | |||||||
\(200\) | −1.56731 | − | 3.59232i | −0.110826 | − | 0.254016i | ||||
\(201\) | 2.67762 | − | 21.9204i | 0.188865 | − | 1.54615i | ||||
\(202\) | 14.6591 | − | 31.9550i | 1.03141 | − | 2.24834i | ||||
\(203\) | 10.6780 | + | 15.6617i | 0.749446 | + | 1.09924i | ||||
\(204\) | −18.7134 | + | 3.59926i | −1.31020 | + | 0.251998i | ||||
\(205\) | 16.8832 | − | 18.1958i | 1.17917 | − | 1.27085i | ||||
\(206\) | −6.58950 | − | 26.5701i | −0.459113 | − | 1.85123i | ||||
\(207\) | 0.0553741 | + | 1.97361i | 0.00384877 | + | 0.137175i | ||||
\(208\) | 12.3742 | + | 3.31565i | 0.857994 | + | 0.229899i | ||||
\(209\) | −0.486047 | − | 7.41564i | −0.0336205 | − | 0.512950i | ||||
\(210\) | −41.7263 | − | 4.30674i | −2.87939 | − | 0.297193i | ||||
\(211\) | −0.271775 | − | 3.22203i | −0.0187098 | − | 0.221814i | −0.999625 | − | 0.0273787i | \(-0.991284\pi\) |
0.980915 | − | 0.194435i | \(-0.0622874\pi\) | |||||||
\(212\) | −14.4505 | − | 7.29494i | −0.992463 | − | 0.501019i | ||||
\(213\) | −6.56358 | − | 7.34465i | −0.449729 | − | 0.503247i | ||||
\(214\) | −24.0550 | + | 36.0008i | −1.64436 | + | 2.46097i | ||||
\(215\) | 0.0317045 | + | 19.3329i | 0.00216223 | + | 1.31849i | ||||
\(216\) | −4.21460 | + | 2.81611i | −0.286767 | + | 0.191612i | ||||
\(217\) | −28.8248 | + | 10.0862i | −1.95675 | + | 0.684697i | ||||
\(218\) | −5.80102 | + | 20.8673i | −0.392895 | + | 1.41331i | ||||
\(219\) | 7.42926 | − | 13.4422i | 0.502023 | − | 0.908343i | ||||
\(220\) | 10.2479 | + | 3.16106i | 0.690913 | + | 0.213119i | ||||
\(221\) | −16.5210 | + | 9.81278i | −1.11132 | + | 0.660079i | ||||
\(222\) | 20.9198 | − | 12.0781i | 1.40405 | − | 0.810627i | ||||
\(223\) | −13.8374 | + | 9.81813i | −0.926618 | + | 0.657471i | −0.939538 | − | 0.342446i | \(-0.888745\pi\) |
0.0129192 | + | 0.999917i | \(0.495888\pi\) | |||||||
\(224\) | 27.1520 | + | 9.78681i | 1.81417 | + | 0.653909i | ||||
\(225\) | 1.53766 | − | 0.0575352i | 0.102511 | − | 0.00383568i | ||||
\(226\) | 15.7889 | + | 1.33178i | 1.05026 | + | 0.0885884i | ||||
\(227\) | −8.87120 | − | 8.70684i | −0.588802 | − | 0.577893i | 0.343690 | − | 0.939083i | \(-0.388323\pi\) |
−0.932492 | + | 0.361190i | \(0.882371\pi\) | |||||||
\(228\) | −3.73701 | − | 23.3123i | −0.247490 | − | 1.54390i | ||||
\(229\) | 12.3296 | + | 4.05717i | 0.814762 | + | 0.268105i | 0.689748 | − | 0.724050i | \(-0.257721\pi\) |
0.125014 | + | 0.992155i | \(0.460102\pi\) | |||||||
\(230\) | −20.5560 | + | 21.3396i | −1.35543 | + | 1.40709i | ||||
\(231\) | 7.09014 | − | 6.70313i | 0.466497 | − | 0.441034i | ||||
\(232\) | −2.63706 | − | 4.87859i | −0.173131 | − | 0.320295i | ||||
\(233\) | −0.217106 | + | 23.2193i | −0.0142231 | + | 1.52115i | 0.642073 | + | 0.766643i | \(0.278075\pi\) |
−0.656296 | + | 0.754503i | \(0.727878\pi\) | |||||||
\(234\) | 2.44679 | − | 3.31528i | 0.159952 | − | 0.216727i | ||||
\(235\) | −1.14924 | − | 6.40095i | −0.0749682 | − | 0.417552i | ||||
\(236\) | 7.58608 | + | 6.77933i | 0.493812 | + | 0.441297i | ||||
\(237\) | 26.3101 | − | 12.6703i | 1.70902 | − | 0.823023i | ||||
\(238\) | −28.5524 | + | 13.8563i | −1.85077 | + | 0.898172i | ||||
\(239\) | 4.89231 | − | 0.737397i | 0.316457 | − | 0.0476983i | 0.0111069 | − | 0.999938i | \(-0.496465\pi\) |
0.305350 | + | 0.952240i | \(0.401226\pi\) | |||||||
\(240\) | −14.6643 | − | 3.05972i | −0.946578 | − | 0.197504i | ||||
\(241\) | −0.304309 | − | 2.94833i | −0.0196022 | − | 0.189919i | 0.980372 | − | 0.197159i | \(-0.0631715\pi\) |
−0.999974 | + | 0.00724036i | \(0.997695\pi\) | |||||||
\(242\) | 15.9572 | − | 10.0266i | 1.02577 | − | 0.644531i | ||||
\(243\) | −0.917845 | − | 4.20207i | −0.0588798 | − | 0.269563i | ||||
\(244\) | −29.5427 | + | 8.21274i | −1.89128 | + | 0.525767i | ||||
\(245\) | −17.9477 | + | 2.87705i | −1.14664 | + | 0.183808i | ||||
\(246\) | 6.74329 | + | 32.3186i | 0.429937 | + | 2.06056i | ||||
\(247\) | −11.5159 | − | 20.8365i | −0.732741 | − | 1.32580i | ||||
\(248\) | 8.69153 | − | 2.06947i | 0.551912 | − | 0.131411i | ||||
\(249\) | −11.2511 | + | 0.526370i | −0.713007 | + | 0.0333573i | ||||
\(250\) | −5.94416 | − | 5.61971i | −0.375942 | − | 0.355422i | ||||
\(251\) | 4.10739 | − | 15.3290i | 0.259256 | − | 0.967558i | −0.706416 | − | 0.707797i | \(-0.749689\pi\) |
0.965673 | − | 0.259762i | \(-0.0836440\pi\) | |||||||
\(252\) | 2.49303 | − | 2.84276i | 0.157046 | − | 0.179077i | ||||
\(253\) | −0.643457 | − | 6.86184i | −0.0404538 | − | 0.431400i | ||||
\(254\) | −9.50211 | − | 11.9153i | −0.596215 | − | 0.747630i | ||||
\(255\) | 18.6450 | − | 12.5397i | 1.16760 | − | 0.785267i | ||||
\(256\) | 4.77713 | + | 2.30055i | 0.298571 | + | 0.143784i | ||||
\(257\) | 6.85509 | + | 16.5496i | 0.427609 | + | 1.03234i | 0.980044 | + | 0.198783i | \(0.0636988\pi\) |
−0.552435 | + | 0.833556i | \(0.686301\pi\) | |||||||
\(258\) | −20.9956 | − | 14.8455i | −1.30713 | − | 0.924238i | ||||
\(259\) | 15.8050 | − | 15.8050i | 0.982077 | − | 0.982077i | ||||
\(260\) | 34.0183 | − | 4.80259i | 2.10973 | − | 0.297844i | ||||
\(261\) | 2.16118 | − | 0.263992i | 0.133774 | − | 0.0163407i | ||||
\(262\) | −0.887856 | + | 0.0748898i | −0.0548519 | + | 0.00462670i | ||||
\(263\) | 6.78495 | + | 5.62155i | 0.418378 | + | 0.346640i | 0.823196 | − | 0.567758i | \(-0.192189\pi\) |
−0.404818 | + | 0.914397i | \(0.632665\pi\) | |||||||
\(264\) | −2.26471 | + | 1.73777i | −0.139383 | + | 0.106953i | ||||
\(265\) | 19.0459 | + | 1.24833i | 1.16998 | + | 0.0766844i | ||||
\(266\) | −16.0603 | − | 35.8912i | −0.984719 | − | 2.20063i | ||||
\(267\) | 0.0839629 | − | 0.0394716i | 0.00513845 | − | 0.00241562i | ||||
\(268\) | 1.11696 | + | 29.8513i | 0.0682289 | + | 1.82346i | ||||
\(269\) | 10.7805 | + | 12.7667i | 0.657299 | + | 0.778399i | 0.986127 | − | 0.165991i | \(-0.0530822\pi\) |
−0.328828 | + | 0.944390i | \(0.606654\pi\) | |||||||
\(270\) | 16.3591 | − | 24.9857i | 0.995583 | − | 1.52058i | ||||
\(271\) | −0.949528 | − | 1.02335i | −0.0576797 | − | 0.0621640i | 0.703553 | − | 0.710643i | \(-0.251596\pi\) |
−0.761232 | + | 0.648479i | \(0.775405\pi\) | |||||||
\(272\) | −10.6505 | + | 3.87526i | −0.645784 | + | 0.234972i | ||||
\(273\) | 11.4195 | − | 29.0965i | 0.691141 | − | 1.76100i | ||||
\(274\) | −5.51896 | − | 32.4823i | −0.333412 | − | 1.96233i | ||||
\(275\) | −5.34286 | + | 0.551457i | −0.322186 | + | 0.0332541i | ||||
\(276\) | −4.07066 | − | 21.5139i | −0.245025 | − | 1.29499i | ||||
\(277\) | 3.82413 | − | 3.48230i | 0.229770 | − | 0.209231i | −0.550227 | − | 0.835015i | \(-0.685459\pi\) |
0.779997 | + | 0.625784i | \(0.215221\pi\) | |||||||
\(278\) | 22.8442 | − | 14.6537i | 1.37010 | − | 0.878868i | ||||
\(279\) | −0.490342 | + | 3.47325i | −0.0293560 | + | 0.207938i | ||||
\(280\) | 11.3379 | − | 0.636724i | 0.677570 | − | 0.0380515i | ||||
\(281\) | −0.0450628 | + | 2.40950i | −0.00268822 | + | 0.143739i | 0.995895 | + | 0.0905199i | \(0.0288529\pi\) |
−0.998583 | + | 0.0532189i | \(0.983052\pi\) | |||||||
\(282\) | 7.82791 | + | 3.67996i | 0.466145 | + | 0.219138i | ||||
\(283\) | 12.0269 | − | 28.2845i | 0.714923 | − | 1.68134i | −0.0169109 | − | 0.999857i | \(-0.505383\pi\) |
0.731834 | − | 0.681483i | \(-0.238664\pi\) | |||||||
\(284\) | 10.3392 | + | 8.40455i | 0.613516 | + | 0.498718i | ||||
\(285\) | 14.8111 | + | 23.5717i | 0.877334 | + | 1.39627i | ||||
\(286\) | −7.76579 | + | 12.1064i | −0.459201 | + | 0.715868i | ||||
\(287\) | 13.7668 | + | 27.2705i | 0.812628 | + | 1.60973i | ||||
\(288\) | 2.43016 | − | 2.25486i | 0.143199 | − | 0.132869i | ||||
\(289\) | 6.99500 | − | 15.4942i | 0.411471 | − | 0.911423i | ||||
\(290\) | 25.5457 | + | 20.3721i | 1.50010 | + | 1.19629i | ||||
\(291\) | 3.83818 | − | 10.3442i | 0.224998 | − | 0.606390i | ||||
\(292\) | −7.04480 | + | 19.5447i | −0.412266 | + | 1.14377i | ||||
\(293\) | −21.1941 | − | 13.3172i | −1.23818 | − | 0.777997i | −0.256130 | − | 0.966642i | \(-0.582447\pi\) |
−0.982045 | + | 0.188645i | \(0.939590\pi\) | |||||||
\(294\) | 10.6929 | − | 21.6830i | 0.623620 | − | 1.26458i | ||||
\(295\) | −11.3595 | − | 3.85603i | −0.661375 | − | 0.224507i | ||||
\(296\) | −5.07431 | + | 4.12483i | −0.294938 | + | 0.239751i | ||||
\(297\) | 1.92306 | + | 6.67510i | 0.111587 | + | 0.387328i | ||||
\(298\) | 3.61395 | − | 7.15884i | 0.209351 | − | 0.414701i | ||||
\(299\) | −11.2175 | − | 19.0164i | −0.648725 | − | 1.09975i | ||||
\(300\) | −16.7365 | + | 3.32910i | −0.966282 | + | 0.192206i | ||||
\(301\) | −22.3205 | − | 8.24031i | −1.28653 | − | 0.474964i | ||||
\(302\) | −29.8361 | − | 29.8361i | −1.71688 | − | 1.71688i | ||||
\(303\) | −24.4763 | − | 18.4203i | −1.40613 | − | 1.05822i | ||||
\(304\) | −4.38909 | − | 13.3383i | −0.251732 | − | 0.765003i | ||||
\(305\) | 28.2671 | − | 22.5423i | 1.61857 | − | 1.29077i | ||||
\(306\) | −0.0912485 | + | 3.64421i | −0.00521633 | + | 0.208326i | ||||
\(307\) | −11.3997 | + | 19.7448i | −0.650614 | + | 1.12690i | 0.332361 | + | 0.943152i | \(0.392155\pi\) |
−0.982974 | + | 0.183744i | \(0.941178\pi\) | |||||||
\(308\) | −8.03473 | + | 10.4711i | −0.457821 | + | 0.596644i | ||||
\(309\) | −23.8433 | + | 0.668978i | −1.35640 | + | 0.0380568i | ||||
\(310\) | −42.3544 | + | 31.2590i | −2.40557 | + | 1.77539i | ||||
\(311\) | 2.68522 | − | 16.7510i | 0.152265 | − | 0.949862i | −0.789539 | − | 0.613700i | \(-0.789680\pi\) |
0.941804 | − | 0.336162i | \(-0.109129\pi\) | |||||||
\(312\) | −4.19728 | + | 8.12463i | −0.237624 | + | 0.459967i | ||||
\(313\) | −0.871840 | + | 0.00815192i | −0.0492793 | + | 0.000460774i | −0.0339866 | − | 0.999422i | \(-0.510820\pi\) |
−0.0152926 | + | 0.999883i | \(0.504868\pi\) | |||||||
\(314\) | 8.51832 | + | 22.9576i | 0.480717 | + | 1.29557i | ||||
\(315\) | −1.39354 | + | 4.23490i | −0.0785168 | + | 0.238610i | ||||
\(316\) | −32.4282 | + | 22.5562i | −1.82423 | + | 1.26888i | ||||
\(317\) | 5.03407 | + | 0.141242i | 0.282741 | + | 0.00793296i | 0.169135 | − | 0.985593i | \(-0.445903\pi\) |
0.113606 | + | 0.993526i | \(0.463760\pi\) | |||||||
\(318\) | −16.0131 | + | 19.6991i | −0.897968 | + | 1.10467i | ||||
\(319\) | −7.46757 | + | 1.41294i | −0.418104 | + | 0.0791095i | ||||
\(320\) | 33.5057 | + | 1.56753i | 1.87302 | + | 0.0876275i | ||||
\(321\) | 26.1733 | + | 27.1709i | 1.46085 | + | 1.51653i | ||||
\(322\) | −15.8218 | − | 32.8543i | −0.881715 | − | 1.83090i | ||||
\(323\) | 18.9181 | + | 9.25856i | 1.05263 | + | 0.515160i | ||||
\(324\) | 9.20494 | + | 23.4538i | 0.511386 | + | 1.30299i | ||||
\(325\) | −14.7381 | + | 8.88056i | −0.817522 | + | 0.492605i | ||||
\(326\) | −18.7564 | − | 19.1105i | −1.03882 | − | 1.05843i | ||||
\(327\) | 16.6848 | + | 8.81819i | 0.922673 | + | 0.487647i | ||||
\(328\) | −3.18727 | − | 8.34976i | −0.175988 | − | 0.461038i | ||||
\(329\) | 7.87766 | + | 1.41437i | 0.434310 | + | 0.0779769i | ||||
\(330\) | 8.27285 | − | 14.6435i | 0.455406 | − | 0.806099i | ||||
\(331\) | −5.27542 | + | 1.95742i | −0.289963 | + | 0.107589i | −0.488668 | − | 0.872470i | \(-0.662517\pi\) |
0.198705 | + | 0.980059i | \(0.436327\pi\) | |||||||
\(332\) | 14.9148 | − | 3.11197i | 0.818554 | − | 0.170792i | ||||
\(333\) | −0.779644 | − | 2.44611i | −0.0427242 | − | 0.134046i | ||||
\(334\) | 7.56370 | + | 4.65452i | 0.413867 | + | 0.254684i | ||||
\(335\) | −14.9851 | − | 31.8759i | −0.818724 | − | 1.74157i | ||||
\(336\) | 9.80858 | − | 15.6103i | 0.535102 | − | 0.851610i | ||||
\(337\) | −2.13284 | + | 0.724002i | −0.116183 | + | 0.0394389i | −0.378926 | − | 0.925427i | \(-0.623706\pi\) |
0.262742 | + | 0.964866i | \(0.415373\pi\) | |||||||
\(338\) | −2.41448 | + | 18.3398i | −0.131330 | + | 0.997552i | ||||
\(339\) | 4.06944 | − | 13.1928i | 0.221022 | − | 0.716534i | ||||
\(340\) | −22.2183 | + | 20.7406i | −1.20496 | + | 1.12482i | ||||
\(341\) | 0.915013 | − | 12.2100i | 0.0495507 | − | 0.661208i | ||||
\(342\) | −4.50932 | − | 0.253238i | −0.243836 | − | 0.0136935i | ||||
\(343\) | −0.590845 | + | 2.97038i | −0.0319026 | + | 0.160385i | ||||
\(344\) | 6.24819 | + | 3.06854i | 0.336880 | + | 0.165444i | ||||
\(345\) | 14.3434 | + | 21.4663i | 0.772220 | + | 1.15571i | ||||
\(346\) | −1.25537 | + | 4.86668i | −0.0674893 | + | 0.261634i | ||||
\(347\) | −1.62750 | + | 2.08043i | −0.0873688 | + | 0.111683i | −0.829329 | − | 0.558760i | \(-0.811277\pi\) |
0.741960 | + | 0.670444i | \(0.233896\pi\) | |||||||
\(348\) | −23.2017 | + | 6.68429i | −1.24374 | + | 0.358316i | ||||
\(349\) | −10.4508 | + | 12.6136i | −0.559417 | + | 0.675190i | −0.971796 | − | 0.235823i | \(-0.924222\pi\) |
0.412379 | + | 0.911012i | \(0.364698\pi\) | |||||||
\(350\) | −25.4886 | + | 12.5696i | −1.36242 | + | 0.671873i | ||||
\(351\) | 14.6727 | + | 16.7311i | 0.783173 | + | 0.893038i | ||||
\(352\) | −7.94997 | + | 8.40896i | −0.423735 | + | 0.448199i | ||||
\(353\) | 19.6531 | + | 26.6290i | 1.04603 | + | 1.41732i | 0.904040 | + | 0.427448i | \(0.140587\pi\) |
0.141987 | + | 0.989868i | \(0.454651\pi\) | |||||||
\(354\) | 12.9258 | − | 9.35426i | 0.686999 | − | 0.497174i | ||||
\(355\) | −15.0967 | − | 4.34928i | −0.801249 | − | 0.230836i | ||||
\(356\) | −0.103694 | + | 0.0706972i | −0.00549575 | + | 0.00374694i | ||||
\(357\) | 6.48635 | + | 26.8819i | 0.343294 | + | 1.42274i | ||||
\(358\) | 2.00109 | + | 26.7026i | 0.105761 | + | 1.41128i | ||||
\(359\) | −0.163418 | − | 8.73794i | −0.00862488 | − | 0.461171i | −0.977185 | − | 0.212391i | \(-0.931875\pi\) |
0.968560 | − | 0.248780i | \(-0.0800297\pi\) | |||||||
\(360\) | 0.532751 | − | 1.19058i | 0.0280784 | − | 0.0627491i | ||||
\(361\) | −3.31531 | + | 6.27287i | −0.174490 | + | 0.330151i | ||||
\(362\) | −17.3682 | − | 0.162397i | −0.912853 | − | 0.00853540i | ||||
\(363\) | −5.56815 | − | 15.4480i | −0.292252 | − | 0.810809i | ||||
\(364\) | −9.02271 | + | 41.3076i | −0.472918 | + | 2.16511i | ||||
\(365\) | −1.37354 | − | 24.4582i | −0.0718945 | − | 1.28020i | ||||
\(366\) | 2.69633 | + | 48.0125i | 0.140939 | + | 2.50966i | ||||
\(367\) | 1.45547 | − | 6.66340i | 0.0759748 | − | 0.347827i | −0.923374 | − | 0.383901i | \(-0.874580\pi\) |
0.999349 | + | 0.0360741i | \(0.0114852\pi\) | |||||||
\(368\) | −4.41572 | − | 12.2508i | −0.230185 | − | 0.638615i | ||||
\(369\) | 3.50868 | + | 0.0328070i | 0.182655 | + | 0.00170787i | ||||
\(370\) | 18.0032 | − | 34.0637i | 0.935941 | − | 1.77089i | ||||
\(371\) | −9.59439 | + | 21.4414i | −0.498116 | + | 1.11318i | ||||
\(372\) | −0.727383 | − | 38.8930i | −0.0377131 | − | 2.01651i | ||||
\(373\) | −1.01102 | − | 13.4911i | −0.0523486 | − | 0.698543i | −0.960211 | − | 0.279275i | \(-0.909906\pi\) |
0.907863 | − | 0.419268i | \(-0.137713\pi\) | |||||||
\(374\) | −0.514141 | − | 12.7144i | −0.0265856 | − | 0.657445i | ||||
\(375\) | −5.88907 | + | 4.01510i | −0.304110 | + | 0.207339i | ||||
\(376\) | −2.25007 | − | 0.648233i | −0.116038 | − | 0.0334301i | ||||
\(377\) | −19.7238 | + | 14.2739i | −1.01583 | + | 0.735143i | ||||
\(378\) | 21.8257 | + | 29.5727i | 1.12259 | + | 1.52106i | ||||
\(379\) | −18.7650 | + | 19.8484i | −0.963892 | + | 1.01954i | 0.0359038 | + | 0.999355i | \(0.488569\pi\) |
−0.999796 | + | 0.0201869i | \(0.993574\pi\) | |||||||
\(380\) | −24.8293 | − | 28.3124i | −1.27371 | − | 1.45239i | ||||
\(381\) | −11.9098 | + | 5.87325i | −0.610156 | + | 0.300896i | ||||
\(382\) | 4.17987 | − | 5.04491i | 0.213861 | − | 0.258120i | ||||
\(383\) | −22.8299 | + | 6.57717i | −1.16655 | + | 0.336078i | −0.803278 | − | 0.595605i | \(-0.796913\pi\) |
−0.363274 | + | 0.931682i | \(0.618341\pi\) | |||||||
\(384\) | −9.36945 | + | 11.9769i | −0.478133 | + | 0.611196i | ||||
\(385\) | 3.88714 | − | 15.0692i | 0.198107 | − | 0.767997i | ||||
\(386\) | −11.5503 | − | 17.2862i | −0.587893 | − | 0.879845i | ||||
\(387\) | −2.01763 | + | 1.84334i | −0.102562 | + | 0.0937025i | ||||
\(388\) | −2.91168 | + | 14.6380i | −0.147818 | + | 0.743133i | ||||
\(389\) | −23.7313 | − | 1.33272i | −1.20323 | − | 0.0675717i | −0.556865 | − | 0.830603i | \(-0.687996\pi\) |
−0.646361 | + | 0.763031i | \(0.723710\pi\) | |||||||
\(390\) | 4.02641 | − | 53.7287i | 0.203885 | − | 2.72066i | ||||
\(391\) | 17.7784 | + | 8.09086i | 0.899092 | + | 0.409173i | ||||
\(392\) | −1.92910 | + | 6.25400i | −0.0974344 | + | 0.315875i | ||||
\(393\) | −0.101336 | + | 0.769720i | −0.00511170 | + | 0.0388272i | ||||
\(394\) | −29.4005 | + | 9.98012i | −1.48117 | + | 0.502791i | ||||
\(395\) | 24.7802 | − | 39.4375i | 1.24683 | − | 1.98432i | ||||
\(396\) | 0.644967 | + | 1.37196i | 0.0324108 | + | 0.0689434i | ||||
\(397\) | −17.2628 | − | 10.6231i | −0.866396 | − | 0.533159i | 0.0180312 | − | 0.999837i | \(-0.494260\pi\) |
−0.884427 | + | 0.466678i | \(0.845451\pi\) | |||||||
\(398\) | 6.88686 | + | 21.6073i | 0.345207 | + | 1.08308i | ||||
\(399\) | −33.5389 | + | 6.99792i | −1.67905 | + | 0.350334i | ||||
\(400\) | −9.51505 | + | 3.53051i | −0.475752 | + | 0.176526i | ||||
\(401\) | −9.33058 | + | 16.5158i | −0.465947 | + | 0.824757i | −0.999783 | − | 0.0208306i | \(-0.993369\pi\) |
0.533836 | + | 0.845588i | \(0.320750\pi\) | |||||||
\(402\) | 46.1107 | + | 8.27881i | 2.29979 | + | 0.412910i | ||||
\(403\) | −13.9883 | − | 36.6455i | −0.696808 | − | 1.82544i | ||||
\(404\) | 36.6356 | + | 19.3625i | 1.82269 | + | 0.963319i | ||||
\(405\) | −20.8096 | − | 21.2024i | −1.03403 | − | 1.05355i | ||||
\(406\) | −34.4428 | + | 20.7538i | −1.70937 | + | 1.02999i | ||||
\(407\) | 3.27411 | + | 8.34230i | 0.162292 | + | 0.413512i | ||||
\(408\) | −1.08020 | − | 8.01797i | −0.0534777 | − | 0.396949i | ||||
\(409\) | −3.16535 | − | 6.57292i | −0.156517 | − | 0.325010i | 0.807934 | − | 0.589273i | \(-0.200586\pi\) |
−0.964451 | + | 0.264263i | \(0.914871\pi\) | |||||||
\(410\) | 36.5318 | + | 37.9243i | 1.80418 | + | 1.87295i | ||||
\(411\) | −28.6770 | − | 1.34162i | −1.41453 | − | 0.0661774i | ||||
\(412\) | 31.7030 | − | 5.99853i | 1.56189 | − | 0.295526i | ||||
\(413\) | 9.31251 | − | 11.4561i | 0.458238 | − | 0.563719i | ||||
\(414\) | −4.18684 | − | 0.117471i | −0.205772 | − | 0.00577340i | ||||
\(415\) | −14.7480 | + | 10.2583i | −0.723950 | + | 0.503560i | ||||
\(416\) | −11.5874 | + | 35.2138i | −0.568121 | + | 1.72650i | ||||
\(417\) | −8.22645 | − | 22.1710i | −0.402851 | − | 1.08572i | ||||
\(418\) | 15.7647 | − | 0.147404i | 0.771077 | − | 0.00720976i | ||||
\(419\) | −14.8898 | + | 28.8220i | −0.727414 | + | 1.40805i | 0.178221 | + | 0.983990i | \(0.442966\pi\) |
−0.905636 | + | 0.424057i | \(0.860606\pi\) | |||||||
\(420\) | 7.82571 | − | 48.8186i | 0.381855 | − | 2.38210i | ||||
\(421\) | 4.99456 | − | 3.68615i | 0.243420 | − | 0.179652i | −0.465277 | − | 0.885165i | \(-0.654045\pi\) |
0.708697 | + | 0.705513i | \(0.249283\pi\) | |||||||
\(422\) | 6.85684 | − | 0.192384i | 0.333786 | − | 0.00936512i | ||||
\(423\) | 0.559639 | − | 0.729336i | 0.0272106 | − | 0.0354615i | ||||
\(424\) | 3.43619 | − | 5.95166i | 0.166876 | − | 0.289038i | ||||
\(425\) | 6.17580 | − | 13.9140i | 0.299570 | − | 0.674926i | ||||
\(426\) | 16.3372 | − | 13.0285i | 0.791542 | − | 0.631234i | ||||
\(427\) | 13.9082 | + | 42.2665i | 0.673065 | + | 2.04542i | ||||
\(428\) | −40.7758 | − | 30.6869i | −1.97097 | − | 1.48331i | ||||
\(429\) | 8.86174 | + | 8.86174i | 0.427849 | + | 0.427849i | ||||
\(430\) | −40.9523 | − | 2.23246i | −1.97489 | − | 0.107659i | ||||
\(431\) | −1.56385 | + | 0.311068i | −0.0753278 | + | 0.0149836i | −0.232610 | − | 0.972570i | \(-0.574727\pi\) |
0.157283 | + | 0.987554i | \(0.449727\pi\) | |||||||
\(432\) | 6.66876 | + | 11.3052i | 0.320851 | + | 0.543921i | ||||
\(433\) | 1.63119 | − | 3.23121i | 0.0783900 | − | 0.155282i | −0.850120 | − | 0.526588i | \(-0.823471\pi\) |
0.928510 | + | 0.371306i | \(0.121090\pi\) | |||||||
\(434\) | −17.9347 | − | 62.2528i | −0.860894 | − | 2.98823i | ||||
\(435\) | 22.0918 | − | 17.9581i | 1.05922 | − | 0.861025i | ||||
\(436\) | −24.1731 | − | 8.20565i | −1.15768 | − | 0.392980i | ||||
\(437\) | −10.7035 | + | 21.7046i | −0.512019 | + | 1.03827i | ||||
\(438\) | 27.5880 | + | 17.3347i | 1.31821 | + | 0.828283i | ||||
\(439\) | 6.23272 | − | 17.2918i | 0.297472 | − | 0.825291i | −0.696688 | − | 0.717374i | \(-0.745344\pi\) |
0.994160 | − | 0.107917i | \(-0.0344180\pi\) | |||||||
\(440\) | −1.58387 | + | 4.26867i | −0.0755080 | + | 0.203501i | ||||
\(441\) | −2.00890 | − | 1.60204i | −0.0956619 | − | 0.0762879i | ||||
\(442\) | −18.8191 | − | 36.1600i | −0.895131 | − | 1.71995i | ||||
\(443\) | −22.1944 | + | 20.5934i | −1.05449 | + | 0.978423i | −0.999798 | − | 0.0200804i | \(-0.993608\pi\) |
−0.0546908 | + | 0.998503i | \(0.517417\pi\) | |||||||
\(444\) | 12.8308 | + | 25.4165i | 0.608925 | + | 1.20621i | ||||
\(445\) | 0.0798977 | − | 0.124556i | 0.00378752 | − | 0.00590452i | ||||
\(446\) | −19.1496 | − | 30.4764i | −0.906761 | − | 1.44310i | ||||
\(447\) | −5.42206 | − | 4.40751i | −0.256454 | − | 0.208468i | ||||
\(448\) | −16.1533 | + | 37.9890i | −0.763172 | + | 1.79481i | ||||
\(449\) | −34.2631 | − | 16.1074i | −1.61698 | − | 0.760153i | −0.617330 | − | 0.786705i | \(-0.711786\pi\) |
−0.999647 | + | 0.0265514i | \(0.991547\pi\) | |||||||
\(450\) | −0.0610387 | + | 3.26373i | −0.00287739 | + | 0.153854i | ||||
\(451\) | −12.2289 | + | 0.686763i | −0.575838 | + | 0.0323384i | ||||
\(452\) | −2.61067 | + | 18.4922i | −0.122795 | + | 0.869800i | ||||
\(453\) | −30.9459 | + | 19.8506i | −1.45397 | + | 0.932662i | ||||
\(454\) | 19.4970 | − | 17.7542i | 0.915038 | − | 0.833246i | ||||
\(455\) | −9.26854 | − | 48.9854i | −0.434516 | − | 2.29647i | ||||
\(456\) | 9.97067 | − | 1.02911i | 0.466919 | − | 0.0481926i | ||||
\(457\) | 2.41645 | + | 14.2222i | 0.113037 | + | 0.665287i | 0.984575 | + | 0.174960i | \(0.0559797\pi\) |
−0.871539 | + | 0.490327i | \(0.836877\pi\) | |||||||
\(458\) | −10.0600 | + | 25.6324i | −0.470072 | + | 1.19772i | ||||
\(459\) | −19.1231 | − | 4.68143i | −0.892588 | − | 0.218510i | ||||
\(460\) | −23.7538 | − | 25.6005i | −1.10752 | − | 1.19363i | ||||
\(461\) | 17.5423 | − | 26.7929i | 0.817028 | − | 1.24787i | −0.148847 | − | 0.988860i | \(-0.547556\pi\) |
0.965875 | − | 0.259010i | \(-0.0833963\pi\) | |||||||
\(462\) | 13.3544 | + | 15.8148i | 0.621302 | + | 0.735770i | ||||
\(463\) | 1.02795 | + | 27.4724i | 0.0477727 | + | 1.27675i | 0.792702 | + | 0.609609i | \(0.208674\pi\) |
−0.744930 | + | 0.667143i | \(0.767517\pi\) | |||||||
\(464\) | −12.9959 | + | 6.10945i | −0.603317 | + | 0.283624i | ||||
\(465\) | 18.7342 | + | 41.8668i | 0.868777 | + | 1.94153i | ||||
\(466\) | −49.1544 | − | 3.22175i | −2.27703 | − | 0.149245i | ||||
\(467\) | 2.42822 | − | 1.86324i | 0.112365 | − | 0.0862204i | −0.551051 | − | 0.834472i | \(-0.685773\pi\) |
0.663415 | + | 0.748251i | \(0.269106\pi\) | |||||||
\(468\) | 3.73970 | + | 3.09846i | 0.172868 | + | 0.143226i | ||||
\(469\) | 43.1951 | − | 3.64346i | 1.99456 | − | 0.168239i | ||||
\(470\) | 13.6944 | − | 1.67280i | 0.631675 | − | 0.0771603i | ||||
\(471\) | 21.1268 | − | 2.98260i | 0.973470 | − | 0.137431i | ||||
\(472\) | −3.05423 | + | 3.05423i | −0.140582 | + | 0.140582i | ||||
\(473\) | 6.60699 | − | 6.88138i | 0.303790 | − | 0.316406i | ||||
\(474\) | 23.7071 | + | 57.2339i | 1.08890 | + | 2.62884i | ||||
\(475\) | 16.9928 | + | 8.18328i | 0.779681 | + | 0.375475i | ||||
\(476\) | −14.4191 | − | 34.5159i | −0.660897 | − | 1.58203i | ||||
\(477\) | 1.68224 | + | 2.10946i | 0.0770245 | + | 0.0965857i | ||||
\(478\) | 0.979930 | + | 10.4500i | 0.0448209 | + | 0.477972i | ||||
\(479\) | 21.4188 | − | 24.4234i | 0.978649 | − | 1.11594i | −0.0145950 | − | 0.999893i | \(-0.504646\pi\) |
0.993244 | − | 0.116042i | \(-0.0370208\pi\) | |||||||
\(480\) | 11.2196 | − | 41.8721i | 0.512102 | − | 1.91119i | ||||
\(481\) | 20.8619 | + | 19.7232i | 0.951219 | + | 0.899298i | ||||
\(482\) | 6.28098 | − | 0.293849i | 0.286091 | − | 0.0133845i | ||||
\(483\) | −30.9094 | + | 7.35959i | −1.40643 | + | 0.334873i | ||||
\(484\) | 10.7446 | + | 19.4409i | 0.488391 | + | 0.883677i | ||||
\(485\) | −3.59442 | − | 17.2270i | −0.163214 | − | 0.782236i | ||||
\(486\) | 9.00947 | − | 1.44424i | 0.408678 | − | 0.0655119i | ||||
\(487\) | 1.19844 | − | 0.333160i | 0.0543063 | − | 0.0150969i | −0.240579 | − | 0.970629i | \(-0.577337\pi\) |
0.294886 | + | 0.955533i | \(0.404718\pi\) | |||||||
\(488\) | −2.77799 | − | 12.7181i | −0.125754 | − | 0.575723i | ||||
\(489\) | −19.7555 | + | 12.4132i | −0.893374 | + | 0.561344i | ||||
\(490\) | −3.95896 | − | 38.3568i | −0.178847 | − | 1.73278i | ||||
\(491\) | −16.5714 | − | 3.45762i | −0.747855 | − | 0.156040i | −0.185164 | − | 0.982708i | \(-0.559282\pi\) |
−0.562691 | + | 0.826667i | \(0.690234\pi\) | |||||||
\(492\) | −38.4779 | + | 5.79960i | −1.73472 | + | 0.261466i | ||||
\(493\) | 7.05280 | − | 20.3524i | 0.317642 | − | 0.916627i | ||||
\(494\) | 45.5031 | − | 21.9131i | 2.04728 | − | 0.985919i | ||||
\(495\) | −1.33286 | − | 1.19111i | −0.0599074 | − | 0.0535365i | ||||
\(496\) | −4.08841 | − | 22.7713i | −0.183575 | − | 1.02246i | ||||
\(497\) | 11.4816 | − | 15.5571i | 0.515022 | − | 0.697829i | ||||
\(498\) | 0.223408 | − | 23.8932i | 0.0100111 | − | 1.07068i | ||||
\(499\) | −6.62442 | − | 12.2553i | −0.296550 | − | 0.548620i | 0.687572 | − | 0.726116i | \(-0.258677\pi\) |
−0.984122 | + | 0.177496i | \(0.943200\pi\) | |||||||
\(500\) | 7.00606 | − | 6.62365i | 0.313321 | − | 0.296219i | ||||
\(501\) | 5.36858 | − | 5.57321i | 0.239850 | − | 0.248993i | ||||
\(502\) | 31.9794 | + | 10.5231i | 1.42731 | + | 0.469671i | ||||
\(503\) | 1.21148 | + | 7.55746i | 0.0540170 | + | 0.336971i | 0.999922 | + | 0.0125255i | \(0.00398709\pi\) |
−0.945905 | + | 0.324445i | \(0.894822\pi\) | |||||||
\(504\) | 1.14565 | + | 1.12442i | 0.0510313 | + | 0.0500859i | ||||
\(505\) | −48.6865 | − | 4.10666i | −2.16652 | − | 0.182744i | ||||
\(506\) | 14.6104 | − | 0.546684i | 0.649513 | − | 0.0243031i | ||||
\(507\) | 15.1629 | + | 5.46540i | 0.673410 | + | 0.242727i | ||||
\(508\) | 14.6498 | − | 10.3946i | 0.649978 | − | 0.461184i | ||||
\(509\) | 1.13676 | − | 0.656310i | 0.0503861 | − | 0.0290904i | −0.474595 | − | 0.880204i | \(-0.657406\pi\) |
0.524981 | + | 0.851114i | \(0.324072\pi\) | |||||||
\(510\) | 24.3423 | + | 40.9832i | 1.07789 | + | 1.81476i | ||||
\(511\) | 28.8088 | + | 8.88633i | 1.27443 | + | 0.393108i | ||||
\(512\) | −13.3996 | + | 24.2448i | −0.592186 | + | 1.07148i | ||||
\(513\) | 6.53318 | − | 23.5010i | 0.288447 | − | 1.03759i | ||||
\(514\) | −35.8688 | + | 12.5510i | −1.58211 | + | 0.553603i | ||||
\(515\) | −31.6329 | + | 21.1364i | −1.39391 | + | 0.931381i | ||||
\(516\) | 18.8575 | − | 23.7263i | 0.830157 | − | 1.04449i | ||||
\(517\) | −1.78283 | + | 2.66819i | −0.0784088 | + | 0.117347i | ||||
\(518\) | 31.5963 | + | 35.3563i | 1.38826 | + | 1.55347i | ||||
\(519\) | 3.90938 | + | 1.97355i | 0.171603 | + | 0.0866292i | ||||
\(520\) | 1.22594 | + | 14.5341i | 0.0537609 | + | 0.637363i | ||||
\(521\) | 30.8147 | + | 3.18051i | 1.35002 | + | 0.139341i | 0.750420 | − | 0.660961i | \(-0.229851\pi\) |
0.599598 | + | 0.800302i | \(0.295327\pi\) | |||||||
\(522\) | 0.302086 | + | 4.60895i | 0.0132220 | + | 0.201728i | ||||
\(523\) | 2.24121 | + | 0.600531i | 0.0980013 | + | 0.0262594i | 0.307486 | − | 0.951552i | \(-0.400512\pi\) |
−0.209485 | + | 0.977812i | \(0.567179\pi\) | |||||||
\(524\) | −0.0294537 | − | 1.04977i | −0.00128669 | − | 0.0458595i | ||||
\(525\) | 5.96068 | + | 24.0346i | 0.260145 | + | 1.04895i | ||||
\(526\) | −12.7139 | + | 13.7024i | −0.554354 | + | 0.597452i | ||||
\(527\) | 28.7311 | + | 19.4618i | 1.25155 | + | 0.847771i | ||||
\(528\) | 4.16397 | + | 6.10743i | 0.181214 | + | 0.265792i | ||||
\(529\) | 0.232192 | − | 0.506151i | 0.0100953 | − | 0.0220066i | ||||
\(530\) | −4.90954 | + | 40.1921i | −0.213257 | + | 1.74583i | ||||
\(531\) | −0.678127 | − | 1.55428i | −0.0294282 | − | 0.0674501i | ||||
\(532\) | 43.2978 | − | 16.5277i | 1.87720 | − | 0.716565i | ||||
\(533\) | −34.5174 | + | 18.6579i | −1.49511 | + | 0.808164i | ||||
\(534\) | 0.0736166 | + | 0.182535i | 0.00318570 | + | 0.00789906i | ||||
\(535\) | 58.4039 | + | 14.4844i | 2.52502 | + | 0.626216i | ||||
\(536\) | −12.6800 | − | 0.237144i | −0.547694 | − | 0.0102431i | ||||
\(537\) | 23.1029 | + | 3.26159i | 0.996965 | + | 0.140748i | ||||
\(538\) | −28.3232 | + | 21.3154i | −1.22110 | + | 0.918971i | ||||
\(539\) | 7.36316 | + | 5.12162i | 0.317154 | + | 0.220604i | ||||
\(540\) | 28.3219 | + | 20.9025i | 1.21878 | + | 0.899500i | ||||
\(541\) | −3.05128 | + | 2.99475i | −0.131185 | + | 0.128754i | −0.763092 | − | 0.646289i | \(-0.776320\pi\) |
0.631907 | + | 0.775044i | \(0.282272\pi\) | |||||||
\(542\) | 2.28047 | − | 1.88945i | 0.0979547 | − | 0.0811587i | ||||
\(543\) | −3.36765 | + | 14.7546i | −0.144520 | + | 0.633182i | ||||
\(544\) | −9.46841 | − | 31.4006i | −0.405955 | − | 1.34629i | ||||
\(545\) | 30.0159 | − | 2.24938i | 1.28574 | − | 0.0963530i | ||||
\(546\) | 60.2702 | + | 27.6484i | 2.57933 | + | 1.18324i | ||||
\(547\) | −17.6780 | + | 7.51689i | −0.755859 | + | 0.321399i | −0.734714 | − | 0.678377i | \(-0.762684\pi\) |
−0.0211449 | + | 0.999776i | \(0.506731\pi\) | |||||||
\(548\) | 38.5896 | − | 4.34800i | 1.64847 | − | 0.185737i | ||||
\(549\) | 5.04645 | + | 0.808956i | 0.215377 | + | 0.0345254i | ||||
\(550\) | −0.532503 | − | 11.3822i | −0.0227060 | − | 0.485337i | ||||
\(551\) | 24.9321 | + | 9.51709i | 1.06214 | + | 0.405442i | ||||
\(552\) | 9.21630 | − | 1.21335i | 0.392272 | − | 0.0516435i | ||||
\(553\) | 34.8954 | + | 45.4765i | 1.48390 | + | 1.93386i | ||||
\(554\) | 6.92091 | + | 8.51401i | 0.294041 | + | 0.361726i | ||||
\(555\) | −25.6495 | − | 21.6591i | −1.08876 | − | 0.919378i | ||||
\(556\) | 15.7346 | + | 27.8513i | 0.667295 | + | 1.18116i | ||||
\(557\) | −1.34499 | − | 3.84377i | −0.0569893 | − | 0.162866i | 0.911869 | − | 0.410481i | \(-0.134639\pi\) |
−0.968859 | + | 0.247615i | \(0.920353\pi\) | |||||||
\(558\) | −7.29829 | − | 1.45172i | −0.308961 | − | 0.0614562i | ||||
\(559\) | 9.77589 | − | 28.9548i | 0.413476 | − | 1.22466i | ||||
\(560\) | − | 29.4052i | − | 1.24259i | ||||||
\(561\) | −10.9188 | − | 1.92642i | −0.460993 | − | 0.0813334i | ||||
\(562\) | −5.09815 | − | 0.382053i | −0.215052 | − | 0.0161159i | ||||
\(563\) | 21.6753 | + | 11.9795i | 0.913504 | + | 0.504876i | 0.869376 | − | 0.494150i | \(-0.164521\pi\) |
0.0441272 | + | 0.999026i | \(0.485949\pi\) | |||||||
\(564\) | −4.84787 | + | 8.96862i | −0.204132 | + | 0.377647i | ||||
\(565\) | −5.69934 | − | 21.2702i | −0.239773 | − | 0.894845i | ||||
\(566\) | 58.4782 | + | 28.8382i | 2.45802 | + | 1.21216i | ||||
\(567\) | 33.3732 | − | 14.9335i | 1.40154 | − | 0.627149i | ||||
\(568\) | −3.80867 | + | 4.18253i | −0.159808 | + | 0.175495i | ||||
\(569\) | −9.07046 | + | 4.16099i | −0.380254 | + | 0.174438i | −0.597863 | − | 0.801598i | \(-0.703983\pi\) |
0.217610 | + | 0.976036i | \(0.430174\pi\) | |||||||
\(570\) | −51.6885 | + | 28.5672i | −2.16499 | + | 1.19655i | ||||
\(571\) | −0.266989 | − | 28.5542i | −0.0111731 | − | 1.19496i | −0.807418 | − | 0.589980i | \(-0.799135\pi\) |
0.796244 | − | 0.604975i | \(-0.206817\pi\) | |||||||
\(572\) | −13.7335 | − | 9.93880i | −0.574227 | − | 0.415562i | ||||
\(573\) | −3.51732 | − | 4.49619i | −0.146938 | − | 0.187831i | ||||
\(574\) | −59.3985 | + | 25.9153i | −2.47925 | + | 1.08168i | ||||
\(575\) | 15.9656 | + | 7.14413i | 0.665810 | + | 0.297931i | ||||
\(576\) | 3.02511 | + | 3.65117i | 0.126046 | + | 0.152132i | ||||
\(577\) | −28.9901 | − | 19.7651i | −1.20687 | − | 0.822833i | −0.218643 | − | 0.975805i | \(-0.570163\pi\) |
−0.988230 | + | 0.152972i | \(0.951115\pi\) | |||||||
\(578\) | 31.9858 | + | 16.6590i | 1.33044 | + | 0.692922i | ||||
\(579\) | −16.8627 | + | 6.61811i | −0.700788 | + | 0.275039i | ||||
\(580\) | −25.6619 | + | 28.7157i | −1.06555 | + | 1.19235i | ||||
\(581\) | −5.52240 | − | 21.4086i | −0.229108 | − | 0.888178i | ||||
\(582\) | 21.4533 | + | 9.35999i | 0.889269 | + | 0.387984i | ||||
\(583\) | −6.34119 | − | 6.96364i | −0.262625 | − | 0.288404i | ||||
\(584\) | −8.11699 | − | 3.45143i | −0.335883 | − | 0.142821i | ||||
\(585\) | −5.48750 | − | 1.63664i | −0.226880 | − | 0.0676668i | ||||
\(586\) | 30.7278 | − | 43.3068i | 1.26935 | − | 1.78899i | ||||
\(587\) | −13.1328 | − | 12.6506i | −0.542047 | − | 0.522144i | 0.371741 | − | 0.928337i | \(-0.378761\pi\) |
−0.913788 | + | 0.406192i | \(0.866856\pi\) | |||||||
\(588\) | 24.8097 | + | 14.0162i | 1.02313 | + | 0.578020i | ||||
\(589\) | −25.2063 | + | 34.8303i | −1.03861 | + | 1.43516i | ||||
\(590\) | 9.51855 | − | 23.6016i | 0.391873 | − | 0.971662i | ||||
\(591\) | 3.02900 | + | 26.8831i | 0.124596 | + | 1.10582i | ||||
\(592\) | 9.92748 | + | 13.7179i | 0.408017 | + | 0.563801i | ||||
\(593\) | −35.7970 | + | 8.87780i | −1.47001 | + | 0.364568i | −0.892213 | − | 0.451615i | \(-0.850848\pi\) |
−0.577793 | + | 0.816183i | \(0.696086\pi\) | |||||||
\(594\) | −14.3671 | + | 3.27920i | −0.589490 | + | 0.134547i | ||||
\(595\) | 31.5713 | + | 30.8000i | 1.29430 | + | 1.26268i | ||||
\(596\) | 8.18563 | + | 4.72598i | 0.335296 | + | 0.193584i | ||||
\(597\) | 19.6739 | − | 1.84489i | 0.805200 | − | 0.0755062i | ||||
\(598\) | 41.6126 | − | 21.4976i | 1.70166 | − | 0.879101i | ||||
\(599\) | −5.99364 | − | 6.96474i | −0.244894 | − | 0.284572i | 0.622050 | − | 0.782977i | \(-0.286300\pi\) |
−0.866944 | + | 0.498406i | \(0.833919\pi\) | |||||||
\(600\) | −1.01274 | − | 7.17357i | −0.0413449 | − | 0.292860i | ||||
\(601\) | 1.35662 | + | 6.82017i | 0.0553376 | + | 0.278201i | 0.998540 | − | 0.0540179i | \(-0.0172028\pi\) |
−0.943202 | + | 0.332219i | \(0.892203\pi\) | |||||||
\(602\) | 20.1086 | − | 46.2964i | 0.819565 | − | 1.88690i | ||||
\(603\) | 1.90541 | − | 4.60006i | 0.0775941 | − | 0.187329i | ||||
\(604\) | 37.0827 | − | 33.1391i | 1.50887 | − | 1.34841i | ||||
\(605\) | −20.6287 | − | 16.1376i | −0.838675 | − | 0.656087i | ||||
\(606\) | 41.9270 | − | 49.6515i | 1.70317 | − | 2.01696i | ||||
\(607\) | −10.9497 | − | 36.7132i | −0.444433 | − | 1.49014i | −0.824863 | − | 0.565332i | \(-0.808748\pi\) |
0.380430 | − | 0.924810i | \(-0.375776\pi\) | |||||||
\(608\) | 39.2495 | − | 10.5169i | 1.59178 | − | 0.426515i | ||||
\(609\) | 11.2626 | + | 33.1786i | 0.456385 | + | 1.34447i | ||||
\(610\) | 44.3839 | + | 62.5533i | 1.79705 | + | 2.53271i | ||||
\(611\) | −1.53217 | + | 10.1653i | −0.0619850 | + | 0.411243i | ||||
\(612\) | −4.28245 | − | 0.348216i | −0.173108 | − | 0.0140758i | ||||
\(613\) | 12.2257 | − | 15.3306i | 0.493793 | − | 0.619197i | −0.471023 | − | 0.882121i | \(-0.656115\pi\) |
0.964817 | + | 0.262923i | \(0.0846867\pi\) | |||||||
\(614\) | −40.4650 | − | 26.4940i | −1.63304 | − | 1.06921i | ||||
\(615\) | 39.0760 | − | 24.0464i | 1.57570 | − | 0.969645i | ||||
\(616\) | −4.24724 | − | 3.65505i | −0.171126 | − | 0.147266i | ||||
\(617\) | −6.50777 | + | 1.42147i | −0.261993 | + | 0.0572264i | −0.342465 | − | 0.939530i | \(-0.611262\pi\) |
0.0804723 | + | 0.996757i | \(0.474357\pi\) | |||||||
\(618\) | 1.41918 | − | 50.5815i | 0.0570878 | − | 2.03469i | ||||
\(619\) | 6.57357 | − | 22.0406i | 0.264214 | − | 0.885886i | −0.717667 | − | 0.696387i | \(-0.754790\pi\) |
0.981881 | − | 0.189499i | \(-0.0606863\pi\) | |||||||
\(620\) | −33.9862 | − | 51.9081i | −1.36492 | − | 2.08468i | ||||
\(621\) | 5.44517 | − | 21.9559i | 0.218507 | − | 0.881062i | ||||
\(622\) | 35.1605 | + | 7.68000i | 1.40981 | + | 0.307940i | ||||
\(623\) | 0.109511 | + | 0.145514i | 0.00438746 | + | 0.00582991i | ||||
\(624\) | 20.3958 | + | 12.0312i | 0.816484 | + | 0.481632i | ||||
\(625\) | −11.9283 | + | 27.3400i | −0.477133 | + | 1.09360i | ||||
\(626\) | 0.0864377 | − | 1.84759i | 0.00345475 | − | 0.0738446i | ||||
\(627\) | 2.80578 | − | 13.4472i | 0.112052 | − | 0.537031i | ||||
\(628\) | −27.5793 | + | 8.50709i | −1.10053 | + | 0.339470i | ||||
\(629\) | −25.1268 | − | 3.70979i | −1.00187 | − | 0.147919i | ||||
\(630\) | −8.80409 | − | 3.45535i | −0.350763 | − | 0.137664i | ||||
\(631\) | 5.04406 | − | 2.54636i | 0.200801 | − | 0.101369i | −0.347395 | − | 0.937719i | \(-0.612934\pi\) |
0.548196 | + | 0.836350i | \(0.315315\pi\) | |||||||
\(632\) | −8.78924 | − | 14.2827i | −0.349617 | − | 0.568136i | ||||
\(633\) | 1.11118 | − | 5.87271i | 0.0441653 | − | 0.233419i | ||||
\(634\) | −0.897957 | + | 10.6457i | −0.0356624 | + | 0.422796i | ||||
\(635\) | −11.1003 | + | 18.0383i | −0.440503 | + | 0.715827i | ||||
\(636\) | −22.1234 | − | 20.1459i | −0.877251 | − | 0.798837i | ||||
\(637\) | 28.3271 | + | 4.81297i | 1.12236 | + | 0.190697i | ||||
\(638\) | −2.10446 | − | 15.9850i | −0.0833163 | − | 0.632850i | ||||
\(639\) | −0.982265 | − | 1.99184i | −0.0388578 | − | 0.0787958i | ||||
\(640\) | −2.49011 | + | 24.1257i | −0.0984301 | + | 0.953652i | ||||
\(641\) | −0.487932 | + | 1.53087i | −0.0192721 | + | 0.0604657i | −0.961931 | − | 0.273291i | \(-0.911888\pi\) |
0.942659 | + | 0.333757i | \(0.108316\pi\) | |||||||
\(642\) | −60.6634 | + | 52.2051i | −2.39419 | + | 2.06037i | ||||
\(643\) | 9.69463 | − | 12.8819i | 0.382319 | − | 0.508013i | −0.566402 | − | 0.824129i | \(-0.691665\pi\) |
0.948720 | + | 0.316117i | \(0.102379\pi\) | |||||||
\(644\) | 39.7083 | − | 16.4477i | 1.56473 | − | 0.648131i | ||||
\(645\) | −9.51498 | + | 34.4459i | −0.374652 | + | 1.35630i | ||||
\(646\) | −21.8606 | + | 38.9687i | −0.860095 | + | 1.53320i | ||||
\(647\) | 7.70617 | − | 16.0020i | 0.302961 | − | 0.629104i | −0.692796 | − | 0.721134i | \(-0.743621\pi\) |
0.995756 | + | 0.0920297i | \(0.0293355\pi\) | |||||||
\(648\) | −10.1608 | + | 3.34351i | −0.399154 | + | 0.131345i | ||||
\(649\) | 2.71690 | + | 5.25907i | 0.106648 | + | 0.206437i | ||||
\(650\) | −17.0566 | − | 32.2727i | −0.669016 | − | 1.26584i | ||||
\(651\) | −56.3280 | + | 3.69193i | −2.20767 | + | 0.144698i | ||||
\(652\) | 23.7286 | − | 20.8094i | 0.929284 | − | 0.814960i | ||||
\(653\) | 7.57689 | − | 19.8493i | 0.296507 | − | 0.776764i | −0.701441 | − | 0.712728i | \(-0.747460\pi\) |
0.997948 | − | 0.0640369i | \(-0.0203975\pi\) | |||||||
\(654\) | −20.6622 | + | 34.2908i | −0.807957 | + | 1.34088i | ||||
\(655\) | 0.516315 | + | 1.12550i | 0.0201741 | + | 0.0439771i | ||||
\(656\) | −22.0500 | + | 7.02797i | −0.860908 | + | 0.274396i | ||||
\(657\) | 2.42561 | − | 2.47140i | 0.0946322 | − | 0.0964185i | ||||
\(658\) | −3.93279 | + | 16.5172i | −0.153316 | + | 0.643909i | ||||
\(659\) | 23.2768 | − | 27.0481i | 0.906735 | − | 1.05365i | −0.0915898 | − | 0.995797i | \(-0.529195\pi\) |
0.998325 | − | 0.0578489i | \(-0.0184242\pi\) | |||||||
\(660\) | 16.6856 | + | 10.7032i | 0.649487 | + | 0.416620i | ||||
\(661\) | 39.0858 | − | 6.64094i | 1.52026 | − | 0.258303i | 0.653461 | − | 0.756960i | \(-0.273316\pi\) |
0.866799 | + | 0.498658i | \(0.166174\pi\) | |||||||
\(662\) | −3.51846 | − | 11.4066i | −0.136749 | − | 0.443329i | ||||
\(663\) | −34.2807 | + | 9.29638i | −1.33135 | + | 0.361041i | ||||
\(664\) | 0.964071 | + | 6.39619i | 0.0374132 | + | 0.248220i | ||||
\(665\) | −39.3563 | + | 37.9112i | −1.52617 | + | 1.47013i | ||||
\(666\) | 5.27378 | − | 1.36038i | 0.204355 | − | 0.0527138i | ||||
\(667\) | 23.3603 | + | 8.17411i | 0.904513 | + | 0.316503i | ||||
\(668\) | −5.97726 | + | 8.59329i | −0.231267 | + | 0.332484i | ||||
\(669\) | −29.5040 | + | 10.6346i | −1.14069 | + | 0.411155i | ||||
\(670\) | 69.2980 | − | 27.9480i | 2.67722 | − | 1.07973i | ||||
\(671\) | −17.7625 | − | 1.66565i | −0.685714 | − | 0.0643016i | ||||
\(672\) | 43.5101 | + | 30.8721i | 1.67844 | + | 1.19092i | ||||
\(673\) | 11.1027 | + | 15.9619i | 0.427976 | + | 0.615285i | 0.975100 | − | 0.221766i | \(-0.0711822\pi\) |
−0.547124 | + | 0.837051i | \(0.684277\pi\) | |||||||
\(674\) | −1.27979 | − | 4.60364i | −0.0492958 | − | 0.177325i | ||||
\(675\) | −17.1503 | − | 4.08352i | −0.660116 | − | 0.157175i | ||||
\(676\) | −21.4225 | − | 4.05336i | −0.823943 | − | 0.155899i | ||||
\(677\) | −2.03033 | + | 1.71446i | −0.0780318 | + | 0.0658920i | −0.683346 | − | 0.730095i | \(-0.739476\pi\) |
0.605314 | + | 0.795987i | \(0.293047\pi\) | |||||||
\(678\) | 27.4593 | + | 10.1886i | 1.05457 | + | 0.391292i | ||||
\(679\) | 21.4160 | + | 3.22794i | 0.821869 | + | 0.123877i | ||||
\(680\) | −8.26271 | − | 9.91170i | −0.316860 | − | 0.380097i | ||||
\(681\) | −11.4882 | − | 19.8981i | −0.440229 | − | 0.762499i | ||||
\(682\) | 25.7529 | + | 3.39043i | 0.986128 | + | 0.129826i | ||||
\(683\) | −36.5193 | − | 19.7400i | −1.39737 | − | 0.755332i | −0.409753 | − | 0.912197i | \(-0.634385\pi\) |
−0.987620 | + | 0.156865i | \(0.949861\pi\) | |||||||
\(684\) | 0.596016 | − | 5.28979i | 0.0227893 | − | 0.202260i | ||||
\(685\) | −39.8670 | + | 22.5229i | −1.52324 | + | 0.860554i | ||||
\(686\) | −6.22120 | − | 1.60478i | −0.237527 | − | 0.0612706i | ||||
\(687\) | 19.9493 | + | 13.3297i | 0.761112 | + | 0.508559i | ||||
\(688\) | 8.84049 | − | 15.7084i | 0.337041 | − | 0.598876i | ||||
\(689\) | −27.8747 | − | 11.5461i | −1.06194 | − | 0.439871i | ||||
\(690\) | −47.1735 | + | 27.8269i | −1.79586 | + | 1.05935i | ||||
\(691\) | 2.74781 | + | 22.4950i | 0.104532 | + | 0.855751i | 0.947934 | + | 0.318468i | \(0.103168\pi\) |
−0.843402 | + | 0.537283i | \(0.819451\pi\) | |||||||
\(692\) | −5.64411 | − | 1.79894i | −0.214557 | − | 0.0683854i | ||||
\(693\) | 1.94498 | − | 1.02795i | 0.0738836 | − | 0.0390486i | ||||
\(694\) | −4.21292 | − | 3.69463i | −0.159920 | − | 0.140246i | ||||
\(695\) | −29.9237 | − | 22.9613i | −1.13507 | − | 0.870972i | ||||
\(696\) | −2.28105 | − | 9.99392i | −0.0864629 | − | 0.378819i | ||||
\(697\) | 15.5502 | − | 31.0356i | 0.589007 | − | 1.17556i | ||||
\(698\) | −25.4734 | − | 23.6359i | −0.964183 | − | 0.894631i | ||||
\(699\) | −11.8822 | + | 41.2441i | −0.449427 | + | 1.55999i | ||||
\(700\) | −13.1073 | − | 30.8255i | −0.495410 | − | 1.16509i | ||||
\(701\) | −1.58738 | + | 42.4237i | −0.0599546 | + | 1.60232i | 0.567303 | + | 0.823509i | \(0.307987\pi\) |
−0.627257 | + | 0.778812i | \(0.715823\pi\) | |||||||
\(702\) | −37.1830 | + | 29.0879i | −1.40338 | + | 1.09785i | ||||
\(703\) | 5.56099 | − | 30.9731i | 0.209737 | − | 1.16817i | ||||
\(704\) | −11.3707 | − | 12.0271i | −0.428548 | − | 0.453290i | ||||
\(705\) | 1.12233 | − | 11.9685i | 0.0422692 | − | 0.450760i | ||||
\(706\) | −58.7399 | + | 38.4592i | −2.21070 | + | 1.44743i | ||||
\(707\) | 25.5823 | − | 54.4181i | 0.962123 | − | 2.04660i | ||||
\(708\) | 10.1538 | + | 15.8292i | 0.381603 | + | 0.594897i | ||||
\(709\) | −1.51593 | + | 2.56988i | −0.0569321 | + | 0.0965140i | −0.888426 | − | 0.459020i | \(-0.848201\pi\) |
0.831494 | + | 0.555534i | \(0.187486\pi\) | |||||||
\(710\) | 11.0078 | − | 31.4586i | 0.413117 | − | 1.18062i | ||||
\(711\) | 6.48046 | − | 1.16352i | 0.243036 | − | 0.0436353i | ||||
\(712\) | −0.0274989 | − | 0.0456369i | −0.00103057 | − | 0.00171032i | ||||
\(713\) | −22.4610 | + | 32.9442i | −0.841170 | + | 1.23377i | ||||
\(714\) | −57.7094 | + | 10.5410i | −2.15972 | + | 0.394488i | ||||
\(715\) | 19.4877 | + | 4.44795i | 0.728800 | + | 0.166344i | ||||
\(716\) | −31.5557 | + | 0.590159i | −1.17929 | + | 0.0220553i | ||||
\(717\) | 9.07786 | + | 1.10888i | 0.339019 | + | 0.0414118i | ||||
\(718\) | 18.5271 | + | 0.693234i | 0.691424 | + | 0.0258713i | ||||
\(719\) | −13.6828 | − | 5.51828i | −0.510282 | − | 0.205797i | 0.104455 | − | 0.994530i | \(-0.466690\pi\) |
−0.614737 | + | 0.788732i | \(0.710738\pi\) | |||||||
\(720\) | −3.00074 | − | 1.55022i | −0.111831 | − | 0.0577733i | ||||
\(721\) | −10.8451 | − | 45.5482i | −0.403893 | − | 1.69630i | ||||
\(722\) | −12.8921 | − | 7.76823i | −0.479793 | − | 0.289104i | ||||
\(723\) | 0.917731 | − | 5.40138i | 0.0341308 | − | 0.200879i | ||||
\(724\) | 1.33892 | − | 20.4280i | 0.0497607 | − | 0.759202i | ||||
\(725\) | 6.19999 | − | 18.2646i | 0.230262 | − | 0.678330i | ||||
\(726\) | 33.3823 | − | 9.95624i | 1.23894 | − | 0.369511i | ||||
\(727\) | 19.9300 | + | 2.24557i | 0.739163 | + | 0.0832837i | 0.473514 | − | 0.880786i | \(-0.342985\pi\) |
0.265649 | + | 0.964070i | \(0.414414\pi\) | |||||||
\(728\) | −17.2948 | − | 4.80789i | −0.640989 | − | 0.178192i | ||||
\(729\) | −1.24921 | + | 22.2443i | −0.0462672 | + | 0.823863i | ||||
\(730\) | 51.9677 | 1.92341 | ||||||||
\(731\) | 7.60568 | + | 25.9452i | 0.281306 | + | 0.959618i | ||||
\(732\) | −56.6790 | −2.09491 | ||||||||
\(733\) | 2.19058 | − | 39.0070i | 0.0809111 | − | 1.44076i | −0.650856 | − | 0.759201i | \(-0.725590\pi\) |
0.731768 | − | 0.681554i | \(-0.238696\pi\) | |||||||
\(734\) | 13.9405 | + | 3.87539i | 0.514552 | + | 0.143043i | ||||
\(735\) | −33.3877 | − | 3.76189i | −1.23152 | − | 0.138759i | ||||
\(736\) | 36.1117 | − | 10.7703i | 1.33110 | − | 0.396997i | ||||
\(737\) | −5.58672 | + | 16.4579i | −0.205790 | + | 0.606236i | ||||
\(738\) | −0.486840 | + | 7.42775i | −0.0179208 | + | 0.273419i | ||||
\(739\) | −0.0552843 | + | 0.325380i | −0.00203367 | + | 0.0119693i | −0.986870 | − | 0.161518i | \(-0.948361\pi\) |
0.984836 | + | 0.173488i | \(0.0555037\pi\) | |||||||
\(740\) | 38.8961 | + | 23.4372i | 1.42985 | + | 0.861568i | ||||
\(741\) | −10.1930 | − | 42.8094i | −0.374449 | − | 1.57264i | ||||
\(742\) | −44.2732 | − | 22.8721i | −1.62532 | − | 0.839660i | ||||
\(743\) | 30.6293 | + | 12.3528i | 1.12368 | + | 0.453181i | 0.859420 | − | 0.511270i | \(-0.170825\pi\) |
0.264259 | + | 0.964452i | \(0.414872\pi\) | |||||||
\(744\) | 16.5034 | + | 0.617515i | 0.605045 | + | 0.0226392i | ||||
\(745\) | −11.0627 | − | 1.35132i | −0.405304 | − | 0.0495087i | ||||
\(746\) | 28.6954 | − | 0.536666i | 1.05062 | − | 0.0196487i | ||||
\(747\) | −2.47585 | − | 0.565096i | −0.0905864 | − | 0.0206758i | ||||
\(748\) | 14.9961 | + | 0.235220i | 0.548313 | + | 0.00860050i | ||||
\(749\) | −41.7169 | + | 61.1874i | −1.52430 | + | 2.23574i | ||||
\(750\) | −7.80379 | − | 12.9511i | −0.284954 | − | 0.472907i | ||||
\(751\) | −44.7264 | + | 8.03029i | −1.63209 | + | 0.293029i | −0.914849 | − | 0.403795i | \(-0.867691\pi\) |
−0.717241 | + | 0.696825i | \(0.754596\pi\) | |||||||
\(752\) | −2.00261 | + | 5.72314i | −0.0730278 | + | 0.208702i | ||||
\(753\) | 14.9041 | − | 25.2661i | 0.543136 | − | 0.920749i | ||||
\(754\) | −27.8871 | − | 43.4744i | −1.01559 | − | 1.58324i | ||||
\(755\) | −24.9479 | + | 53.0685i | −0.907947 | + | 1.93136i | ||||
\(756\) | −36.2433 | + | 23.7299i | −1.31816 | + | 0.863048i | ||||
\(757\) | −2.40977 | + | 25.6979i | −0.0875847 | + | 0.934006i | 0.835521 | + | 0.549459i | \(0.185166\pi\) |
−0.923105 | + | 0.384547i | \(0.874358\pi\) | |||||||
\(758\) | −39.8083 | − | 42.1066i | −1.44590 | − | 1.52938i | ||||
\(759\) | 2.25126 | − | 12.5389i | 0.0817157 | − | 0.455134i | ||||
\(760\) | 12.5922 | − | 9.85074i | 0.456767 | − | 0.357324i | ||||
\(761\) | −0.0558516 | + | 1.49266i | −0.00202462 | + | 0.0541090i | −0.999947 | − | 0.0103230i | \(-0.996714\pi\) |
0.997922 | + | 0.0644320i | \(0.0205236\pi\) | |||||||
\(762\) | −11.0233 | − | 25.9244i | −0.399334 | − | 0.939143i | ||||
\(763\) | −10.2552 | + | 35.5965i | −0.371262 | + | 1.28868i | ||||
\(764\) | 5.66057 | + | 5.25224i | 0.204792 | + | 0.190019i | ||||
\(765\) | 4.80750 | − | 1.59804i | 0.173815 | − | 0.0577772i | ||||
\(766\) | −11.2154 | − | 49.1377i | −0.405228 | − | 1.77542i | ||||
\(767\) | 15.0443 | + | 11.5439i | 0.543217 | + | 0.416825i | ||||
\(768\) | 7.36869 | + | 6.46217i | 0.265895 | + | 0.233183i | ||||
\(769\) | −24.8377 | + | 13.1271i | −0.895669 | + | 0.473375i | −0.850723 | − | 0.525615i | \(-0.823835\pi\) |
−0.0449461 | + | 0.998989i | \(0.514312\pi\) | |||||||
\(770\) | 31.4553 | + | 10.0257i | 1.13357 | + | 0.361301i | ||||
\(771\) | 4.01481 | + | 32.8674i | 0.144590 | + | 1.18369i | ||||
\(772\) | 21.1056 | − | 12.4499i | 0.759607 | − | 0.448081i | ||||
\(773\) | −22.6365 | − | 9.37636i | −0.814180 | − | 0.337244i | −0.0635595 | − | 0.997978i | \(-0.520245\pi\) |
−0.750620 | + | 0.660734i | \(0.770245\pi\) | |||||||
\(774\) | −3.66435 | − | 4.49276i | −0.131712 | − | 0.161489i | ||||
\(775\) | 25.8376 | + | 17.2642i | 0.928115 | + | 0.620147i | ||||
\(776\) | −6.13550 | − | 1.58267i | −0.220252 | − | 0.0568145i | ||||
\(777\) | 35.9723 | − | 20.3225i | 1.29050 | − | 0.729067i | ||||
\(778\) | 5.64562 | − | 50.1062i | 0.202405 | − | 1.79640i | ||||
\(779\) | 37.8347 | + | 20.4511i | 1.35557 | + | 0.732736i | ||||
\(780\) | 62.9613 | + | 8.28902i | 2.25438 | + | 0.296794i | ||||
\(781\) | 3.87617 | + | 6.71372i | 0.138700 | + | 0.240236i | ||||
\(782\) | −19.2518 | + | 36.6936i | −0.688442 | + | 1.31216i | ||||
\(783\) | −24.6667 | − | 3.71791i | −0.881516 | − | 0.132867i | ||||
\(784\) | 15.8888 | + | 5.89547i | 0.567458 | + | 0.210553i | ||||
\(785\) | 26.0009 | − | 21.9558i | 0.928011 | − | 0.783635i | ||||
\(786\) | −1.61827 | − | 0.306194i | −0.0577218 | − | 0.0109216i | ||||
\(787\) | 12.5232 | + | 2.98179i | 0.446403 | + | 0.106289i | 0.448649 | − | 0.893708i | \(-0.351905\pi\) |
−0.00224614 | + | 0.999997i | \(0.500715\pi\) | |||||||
\(788\) | −9.80153 | − | 35.2578i | −0.349165 | − | 1.25601i | ||||
\(789\) | 9.30025 | + | 13.3706i | 0.331098 | + | 0.476007i | ||||
\(790\) | 80.5841 | + | 57.1775i | 2.86705 | + | 2.03428i | ||||
\(791\) | 26.9824 | + | 2.53022i | 0.959382 | + | 0.0899644i | ||||
\(792\) | −0.596903 | + | 0.240732i | −0.0212100 | + | 0.00855403i | ||||
\(793\) | −53.7661 | + | 19.3797i | −1.90929 | + | 0.688193i | ||||
\(794\) | 24.5540 | − | 35.3004i | 0.871388 | − | 1.25276i | ||||
\(795\) | 33.3010 | + | 11.6525i | 1.18106 | + | 0.413272i | ||||
\(796\) | −25.8824 | + | 6.67644i | −0.917378 | + | 0.236640i | ||||
\(797\) | 1.56194 | − | 1.50459i | 0.0553267 | − | 0.0532952i | −0.665586 | − | 0.746321i | \(-0.731818\pi\) |
0.720912 | + | 0.693026i | \(0.243723\pi\) | |||||||
\(798\) | −10.8327 | − | 71.8704i | −0.383474 | − | 2.54418i | ||||
\(799\) | −4.04713 | − | 8.14475i | −0.143177 | − | 0.288141i | ||||
\(800\) | −8.65659 | − | 28.0640i | −0.306057 | − | 0.992211i | ||||
\(801\) | 0.0206228 | − | 0.00350396i | 0.000728672 | − | 0.000123806i | ||||
\(802\) | −33.8718 | − | 21.7274i | −1.19605 | − | 0.767221i | ||||
\(803\) | −7.88468 | + | 9.16217i | −0.278244 | + | 0.323326i | ||||
\(804\) | −12.7898 | + | 53.7155i | −0.451060 | + | 1.89440i | ||||
\(805\) | −35.4982 | + | 36.1683i | −1.25115 | + | 1.27476i | ||||
\(806\) | 79.2819 | − | 25.2694i | 2.79259 | − | 0.890077i | ||||
\(807\) | 12.8785 | + | 28.0737i | 0.453346 | + | 0.988240i | ||||
\(808\) | −9.07953 | + | 15.0683i | −0.319417 | + | 0.530100i | ||||
\(809\) | −18.2096 | + | 47.7040i | −0.640214 | + | 1.67718i | 0.0916998 | + | 0.995787i | \(0.470770\pi\) |
−0.731914 | + | 0.681397i | \(0.761373\pi\) | |||||||
\(810\) | 47.3835 | − | 41.5542i | 1.66489 | − | 1.46007i | ||||
\(811\) | 6.61455 | − | 0.433541i | 0.232268 | − | 0.0152237i | 0.0511755 | − | 0.998690i | \(-0.483703\pi\) |
0.181093 | + | 0.983466i | \(0.442037\pi\) | |||||||
\(812\) | −22.1467 | − | 41.9035i | −0.777196 | − | 1.47053i | ||||
\(813\) | −1.18438 | − | 2.29259i | −0.0415381 | − | 0.0804047i | ||||
\(814\) | −18.0591 | + | 5.94251i | −0.632970 | + | 0.208285i | ||||
\(815\) | −16.1463 | + | 33.5282i | −0.565582 | + | 1.17444i | ||||
\(816\) | −20.8863 | + | 1.62857i | −0.731166 | + | 0.0570113i | ||||
\(817\) | −32.4221 | + | 8.42009i | −1.13430 | + | 0.294582i | ||||
\(818\) | 14.2985 | − | 5.92262i | 0.499934 | − | 0.207079i | ||||
\(819\) | 4.23775 | − | 5.63099i | 0.148079 | − | 0.196763i | ||||
\(820\) | −47.0432 | + | 40.4840i | −1.64282 | + | 1.41376i | ||||
\(821\) | −12.7077 | + | 39.8700i | −0.443503 | + | 1.39147i | 0.429195 | + | 0.903212i | \(0.358797\pi\) |
−0.872697 | + | 0.488262i | \(0.837631\pi\) | |||||||
\(822\) | 6.25275 | − | 60.5805i | 0.218090 | − | 2.11299i | ||||
\(823\) | 7.32576 | + | 14.8552i | 0.255360 | + | 0.517819i | 0.986369 | − | 0.164549i | \(-0.0526169\pi\) |
−0.731009 | + | 0.682368i | \(0.760950\pi\) | |||||||
\(824\) | 1.78799 | + | 13.5812i | 0.0622877 | + | 0.473122i | ||||
\(825\) | −9.78818 | − | 1.66308i | −0.340781 | − | 0.0579010i | ||||
\(826\) | 23.1572 | + | 21.0873i | 0.805743 | + | 0.733721i | ||||
\(827\) | 28.2099 | − | 45.8418i | 0.980955 | − | 1.59407i | 0.190380 | − | 0.981711i | \(-0.439028\pi\) |
0.790576 | − | 0.612364i | \(-0.209781\pi\) | |||||||
\(828\) | 0.414936 | − | 4.91927i | 0.0144200 | − | 0.170957i | ||||
\(829\) | 2.18250 | − | 11.5348i | 0.0758014 | − | 0.400620i | −0.924031 | − | 0.382317i | \(-0.875126\pi\) |
0.999832 | − | 0.0183028i | \(-0.00582629\pi\) | |||||||
\(830\) | −19.9736 | − | 32.4576i | −0.693294 | − | 1.12662i | ||||
\(831\) | 8.53448 | − | 4.30841i | 0.296058 | − | 0.149457i | ||||
\(832\) | −49.3569 | − | 19.3712i | −1.71114 | − | 0.671574i | ||||
\(833\) | −22.9723 | + | 10.8841i | −0.795942 | + | 0.377113i | ||||
\(834\) | 47.9384 | − | 14.7870i | 1.65997 | − | 0.512033i | ||||
\(835\) | 2.52099 | − | 12.0823i | 0.0872424 | − | 0.418126i | ||||
\(836\) | −0.868381 | + | 18.5615i | −0.0300336 | + | 0.641963i | ||||
\(837\) | 16.0711 | − | 36.8354i | 0.555499 | − | 1.27322i | ||||
\(838\) | −59.2761 | − | 34.9661i | −2.04766 | − | 1.20788i | ||||
\(839\) | 26.2127 | + | 34.8305i | 0.904961 | + | 1.20248i | 0.978719 | + | 0.205207i | \(0.0657866\pi\) |
−0.0737575 | + | 0.997276i | \(0.523499\pi\) | |||||||
\(840\) | 20.5071 | + | 4.47930i | 0.707561 | + | 0.154551i | ||||
\(841\) | −0.411143 | + | 1.65781i | −0.0141774 | + | 0.0571658i | ||||
\(842\) | 7.21346 | + | 11.0173i | 0.248592 | + | 0.379682i | ||||
\(843\) | −1.27316 | + | 4.26880i | −0.0438501 | + | 0.147025i | ||||
\(844\) | −0.226753 | + | 8.08179i | −0.00780516 | + | 0.278187i | ||||
\(845\) | 25.1155 | − | 5.48591i | 0.864000 | − | 0.188721i | ||||
\(846\) | 1.47822 | + | 1.27211i | 0.0508223 | + | 0.0437361i | ||||
\(847\) | 27.4518 | − | 16.8932i | 0.943256 | − | 0.580457i | ||||
\(848\) | −14.8883 | − | 9.74796i | −0.511268 | − | 0.334746i | ||||
\(849\) | 35.4221 | − | 44.4179i | 1.21568 | − | 1.52442i | ||||
\(850\) | 28.7362 | + | 14.7359i | 0.985644 | + | 0.505436i | ||||
\(851\) | 4.34957 | − | 28.8575i | 0.149101 | − | 0.989222i | ||||
\(852\) | 14.2522 | + | 20.0866i | 0.488271 | + | 0.688154i | ||||
\(853\) | 8.48465 | + | 24.9950i | 0.290509 | + | 0.855812i | 0.989987 | + | 0.141158i | \(0.0450825\pi\) |
−0.699478 | + | 0.714654i | \(0.746584\pi\) | |||||||
\(854\) | −91.1781 | + | 24.4311i | −3.12005 | + | 0.836015i | ||||
\(855\) | 1.79393 | + | 6.01489i | 0.0613512 | + | 0.205705i | ||||
\(856\) | 13.9783 | − | 16.5537i | 0.477769 | − | 0.565792i | ||||
\(857\) | −18.3340 | − | 14.3425i | −0.626279 | − | 0.489932i | 0.252224 | − | 0.967669i | \(-0.418838\pi\) |
−0.878503 | + | 0.477737i | \(0.841457\pi\) | |||||||
\(858\) | −19.8239 | + | 17.7157i | −0.676778 | + | 0.604806i | ||||
\(859\) | 11.3371 | − | 27.3701i | 0.386816 | − | 0.933856i | −0.603794 | − | 0.797140i | \(-0.706345\pi\) |
0.990610 | − | 0.136716i | \(-0.0436549\pi\) | |||||||
\(860\) | 5.33357 | − | 48.0447i | 0.181873 | − | 1.63831i | ||||
\(861\) | 11.0162 | + | 55.3822i | 0.375431 | + | 1.88742i | ||||
\(862\) | −0.472849 | − | 3.34935i | −0.0161053 | − | 0.114079i | ||||
\(863\) | −29.9297 | − | 34.7789i | −1.01882 | − | 1.18389i | −0.982826 | − | 0.184536i | \(-0.940922\pi\) |
−0.0359928 | − | 0.999352i | \(-0.511459\pi\) | |||||||
\(864\) | −33.7453 | + | 17.4332i | −1.14804 | + | 0.593091i | ||||
\(865\) | 6.95437 | − | 0.652133i | 0.236456 | − | 0.0221732i | ||||
\(866\) | 6.64992 | + | 3.83933i | 0.225974 | + | 0.130466i | ||||
\(867\) | 20.1285 | − | 24.1307i | 0.683599 | − | 0.819521i | ||||
\(868\) | 74.4438 | − | 16.9913i | 2.52679 | − | 0.576723i | ||||
\(869\) | −22.3071 | + | 5.53226i | −0.756718 | + | 0.187669i | ||||
\(870\) | 35.4088 | + | 48.9282i | 1.20047 | + | 1.65882i | ||||
\(871\) | 6.23397 | + | 55.3280i | 0.211230 | + | 1.87472i | ||||
\(872\) | 4.05367 | − | 10.0512i | 0.137275 | − | 0.340377i | ||||
\(873\) | 1.45844 | − | 2.01528i | 0.0493607 | − | 0.0682070i | ||||
\(874\) | −44.6988 | − | 25.2526i | −1.51196 | − | 0.854183i | ||||
\(875\) | −10.0764 | − | 9.70643i | −0.340645 | − | 0.328137i | ||||
\(876\) | −22.2225 | + | 31.3197i | −0.750830 | + | 1.05820i | ||||
\(877\) | 21.7504 | + | 6.48704i | 0.734460 | + | 0.219052i | 0.631219 | − | 0.775605i | \(-0.282555\pi\) |
0.103241 | + | 0.994656i | \(0.467079\pi\) | |||||||
\(878\) | 35.8839 | + | 15.2582i | 1.21102 | + | 0.514940i | ||||
\(879\) | −31.1518 | − | 34.2097i | −1.05072 | − | 1.15386i | ||||
\(880\) | 10.8061 | + | 4.71466i | 0.364274 | + | 0.158931i | ||||
\(881\) | 5.47286 | + | 21.2165i | 0.184385 | + | 0.714803i | 0.992124 | + | 0.125262i | \(0.0399770\pi\) |
−0.807739 | + | 0.589541i | \(0.799309\pi\) | |||||||
\(882\) | 3.63221 | − | 4.06444i | 0.122303 | − | 0.136857i | ||||
\(883\) | −30.9070 | + | 12.1301i | −1.04010 | + | 0.408211i | −0.823062 | − | 0.567951i | \(-0.807736\pi\) |
−0.217042 | + | 0.976162i | \(0.569641\pi\) | |||||||
\(884\) | 43.7965 | − | 19.7564i | 1.47303 | − | 0.664480i | ||||
\(885\) | −18.3212 | − | 12.4912i | −0.615860 | − | 0.419886i | ||||
\(886\) | −40.9784 | − | 49.4590i | −1.37670 | − | 1.66161i | ||||
\(887\) | 28.4965 | + | 12.7514i | 0.956819 | + | 0.428149i | 0.826258 | − | 0.563291i | \(-0.190465\pi\) |
0.130561 | + | 0.991440i | \(0.458322\pi\) | |||||||
\(888\) | −11.0791 | + | 4.83375i | −0.371789 | + | 0.162210i | ||||
\(889\) | −16.0609 | − | 20.5306i | −0.538664 | − | 0.688574i | ||||
\(890\) | 0.254315 | + | 0.184045i | 0.00852467 | + | 0.00616921i | ||||
\(891\) | 0.137062 | + | 14.6587i | 0.00459176 | + | 0.491084i | ||||
\(892\) | 37.1300 | − | 20.5210i | 1.24320 | − | 0.687094i | ||||
\(893\) | 10.2418 | − | 4.69835i | 0.342730 | − | 0.157224i | ||||
\(894\) | 9.98038 | − | 10.9601i | 0.333794 | − | 0.366559i | ||||
\(895\) | 33.9684 | − | 15.1999i | 1.13544 | − | 0.508076i | ||||
\(896\) | −26.7710 | − | 13.2020i | −0.894356 | − | 0.441048i | ||||
\(897\) | −10.5626 | − | 39.4203i | −0.352676 | − | 1.31620i | ||||
\(898\) | 38.1922 | − | 70.6560i | 1.27449 | − | 2.35782i | ||||
\(899\) | 38.4829 | + | 21.2688i | 1.28348 | + | 0.709353i | ||||
\(900\) | −3.83669 | − | 0.287520i | −0.127890 | − | 0.00958402i | ||||
\(901\) | 26.0606 | − | 5.77474i | 0.868205 | − | 0.192385i | ||||
\(902\) | − | 25.9835i | − | 0.865157i | ||||||
\(903\) | −35.6713 | − | 25.7259i | −1.18707 | − | 0.856104i | ||||
\(904\) | −7.77639 | − | 1.54682i | −0.258639 | − | 0.0514465i | ||||
\(905\) | 7.97246 | + | 22.7840i | 0.265013 | + | 0.757365i | ||||
\(906\) | −38.3641 | − | 67.9070i | −1.27456 | − | 2.25606i | ||||
\(907\) | 19.6266 | + | 16.5732i | 0.651692 | + | 0.550305i | 0.909402 | − | 0.415918i | \(-0.136540\pi\) |
−0.257710 | + | 0.966222i | \(0.582968\pi\) | |||||||
\(908\) | 19.6045 | + | 24.1172i | 0.650598 | + | 0.800357i | ||||
\(909\) | −4.20458 | − | 5.47951i | −0.139457 | − | 0.181744i | ||||
\(910\) | 104.857 | − | 13.8047i | 3.47599 | − | 0.457622i | ||||
\(911\) | 20.7624 | + | 7.92542i | 0.687889 | + | 0.262581i | 0.675519 | − | 0.737343i | \(-0.263920\pi\) |
0.0123698 | + | 0.999923i | \(0.496062\pi\) | |||||||
\(912\) | −1.21298 | − | 25.9273i | −0.0401659 | − | 0.858539i | ||||
\(913\) | 8.75289 | + | 1.40311i | 0.289678 | + | 0.0464360i | ||||
\(914\) | −30.4112 | + | 3.42652i | −1.00591 | + | 0.113339i | ||||
\(915\) | 61.5017 | − | 26.1512i | 2.03318 | − | 0.864531i | ||||
\(916\) | −29.4992 | − | 13.5325i | −0.974680 | − | 0.447125i | ||||
\(917\) | −1.51969 | + | 0.113885i | −0.0501847 | + | 0.00376083i | ||||
\(918\) | 12.1903 | − | 39.9473i | 0.402339 | − | 1.31846i | ||||
\(919\) | −0.730213 | + | 3.19927i | −0.0240875 | + | 0.105534i | −0.985543 | − | 0.169428i | \(-0.945808\pi\) |
0.961455 | + | 0.274962i | \(0.0886652\pi\) | |||||||
\(920\) | 11.4171 | − | 9.45940i | 0.376409 | − | 0.311867i | ||||
\(921\) | −30.0772 | + | 29.5200i | −0.991078 | + | 0.972716i | ||||
\(922\) | 54.6628 | + | 40.3430i | 1.80022 | + | 1.32863i | ||||
\(923\) | 20.3877 | + | 14.1811i | 0.671070 | + | 0.466778i | ||||
\(924\) | −19.4932 | + | 14.6702i | −0.641281 | + | 0.482613i | ||||
\(925\) | −22.5208 | − | 3.17941i | −0.740480 | − | 0.104538i | ||||
\(926\) | −58.3110 | − | 1.09054i | −1.91622 | − | 0.0358374i | ||||
\(927\) | −5.21985 | − | 1.29455i | −0.171442 | − | 0.0425185i | ||||
\(928\) | −15.5429 | − | 38.5393i | −0.510222 | − | 1.26511i | ||||
\(929\) | −8.77250 | + | 4.74186i | −0.287816 | + | 0.155575i | −0.613017 | − | 0.790070i | \(-0.710044\pi\) |
0.325201 | + | 0.945645i | \(0.394568\pi\) | |||||||
\(930\) | −90.9054 | + | 34.7004i | −2.98091 | + | 1.13787i | ||||
\(931\) | −12.5944 | − | 28.8667i | −0.412765 | − | 0.946067i | ||||
\(932\) | 7.03981 | − | 57.6316i | 0.230597 | − | 1.88779i | ||||
\(933\) | 13.0753 | − | 28.5027i | 0.428067 | − | 0.933135i | ||||
\(934\) | 3.65765 | + | 5.36478i | 0.119682 | + | 0.175541i | ||||
\(935\) | −16.3807 | + | 6.66385i | −0.535705 | + | 0.217931i | ||||
\(936\) | −1.40241 | + | 1.51144i | −0.0458391 | + | 0.0494028i | ||||
\(937\) | 3.52411 | + | 14.2099i | 0.115128 | + | 0.464216i | 0.999999 | − | 0.00161984i | \(-0.000515612\pi\) |
−0.884871 | + | 0.465836i | \(0.845754\pi\) | |||||||
\(938\) | 2.57913 | + | 91.9238i | 0.0842117 | + | 3.00142i | ||||
\(939\) | −1.55671 | − | 0.417118i | −0.0508012 | − | 0.0136121i | ||||
\(940\) | 1.06351 | + | 16.2260i | 0.0346878 | + | 0.529234i | ||||
\(941\) | 27.1460 | + | 2.80185i | 0.884936 | + | 0.0913377i | 0.534420 | − | 0.845219i | \(-0.320530\pi\) |
0.350516 | + | 0.936557i | \(0.386006\pi\) | |||||||
\(942\) | 3.80438 | + | 45.1029i | 0.123953 | + | 1.46953i | ||||
\(943\) | 35.6057 | + | 17.9746i | 1.15948 | + | 0.585333i | ||||
\(944\) | 7.45287 | + | 8.33977i | 0.242570 | + | 0.271436i | ||||
\(945\) | 28.3785 | − | 42.4714i | 0.923151 | − | 1.38159i | ||||
\(946\) | 13.7894 | + | 14.8126i | 0.448332 | + | 0.481600i | ||||
\(947\) | −0.783304 | + | 0.523387i | −0.0254540 | + | 0.0170078i | −0.568232 | − | 0.822868i | \(-0.692372\pi\) |
0.542778 | + | 0.839876i | \(0.317372\pi\) | |||||||
\(948\) | −68.9191 | + | 24.1158i | −2.23839 | + | 0.783246i | ||||
\(949\) | −10.3716 | + | 37.3085i | −0.336676 | + | 1.21108i | ||||
\(950\) | −19.3541 | + | 35.0186i | −0.627929 | + | 1.13615i | ||||
\(951\) | 8.89531 | + | 2.74384i | 0.288450 | + | 0.0889751i | ||||
\(952\) | 14.9740 | − | 5.29036i | 0.485309 | − | 0.171461i | ||||
\(953\) | 32.4244 | − | 18.7203i | 1.05033 | − | 0.606409i | 0.127589 | − | 0.991827i | \(-0.459276\pi\) |
0.922742 | + | 0.385419i | \(0.125943\pi\) | |||||||
\(954\) | −4.66810 | + | 3.31220i | −0.151135 | + | 0.107236i | ||||
\(955\) | −8.56555 | − | 3.08741i | −0.277175 | − | 0.0999062i | ||||
\(956\) | −12.3622 | + | 0.462562i | −0.399823 | + | 0.0149603i | ||||
\(957\) | −13.9986 | − | 1.18077i | −0.452511 | − | 0.0381689i | ||||
\(958\) | 49.1830 | + | 48.2718i | 1.58903 | + | 1.55959i | ||||
\(959\) | −8.91961 | − | 55.6425i | −0.288029 | − | 1.79679i | ||||
\(960\) | 58.8947 | + | 19.3799i | 1.90082 | + | 0.625482i | ||||
\(961\) | −27.6377 | + | 28.6912i | −0.891540 | + | 0.925523i | ||||
\(962\) | −44.2566 | + | 41.8410i | −1.42689 | + | 1.34901i | ||||
\(963\) | 4.04478 | + | 7.48289i | 0.130341 | + | 0.241133i | ||||
\(964\) | −0.0692931 | + | 7.41083i | −0.00223178 | + | 0.238687i | ||||
\(965\) | −17.1572 | + | 23.2471i | −0.552309 | + | 0.748352i | ||||
\(966\) | −11.9115 | − | 66.3439i | −0.383247 | − | 2.13458i | ||||
\(967\) | 36.9864 | + | 33.0530i | 1.18940 | + | 1.06291i | 0.996660 | + | 0.0816639i | \(0.0260234\pi\) |
0.192741 | + | 0.981250i | \(0.438262\pi\) | |||||||
\(968\) | −8.49644 | + | 4.09167i | −0.273086 | + | 0.131511i | ||||
\(969\) | 29.1078 | + | 25.8548i | 0.935076 | + | 0.830576i | ||||
\(970\) | 36.9156 | − | 5.56413i | 1.18529 | − | 0.178653i | ||||
\(971\) | −24.8594 | − | 5.18693i | −0.797775 | − | 0.166456i | −0.212362 | − | 0.977191i | \(-0.568115\pi\) |
−0.585414 | + | 0.810735i | \(0.699068\pi\) | |||||||
\(972\) | 1.10415 | + | 10.6977i | 0.0354157 | + | 0.343129i | ||||
\(973\) | 39.3047 | − | 24.6968i | 1.26005 | − | 0.791742i | ||||
\(974\) | 0.563106 | + | 2.57801i | 0.0180431 | + | 0.0826047i | ||||
\(975\) | −30.6439 | + | 8.51888i | −0.981390 | + | 0.272823i | ||||
\(976\) | −33.2845 | + | 5.33556i | −1.06541 | + | 0.170787i | ||||
\(977\) | −11.1663 | − | 53.5167i | −0.357242 | − | 1.71215i | −0.653400 | − | 0.757013i | \(-0.726658\pi\) |
0.296158 | − | 0.955139i | \(-0.404294\pi\) | |||||||
\(978\) | −23.9422 | − | 43.3202i | −0.765587 | − | 1.38523i | ||||
\(979\) | −0.0710336 | + | 0.0169132i | −0.00227024 | + | 0.000540549i | ||||
\(980\) | 45.3996 | − | 2.12397i | 1.45024 | − | 0.0678478i | ||||
\(981\) | 3.09191 | + | 2.92314i | 0.0987171 | + | 0.0933288i | ||||
\(982\) | 9.29465 | − | 34.6881i | 0.296604 | − | 1.10694i | ||||
\(983\) | −33.5233 | + | 38.2260i | −1.06923 | + | 1.21922i | −0.0945712 | + | 0.995518i | \(0.530148\pi\) |
−0.974657 | + | 0.223703i | \(0.928185\pi\) | |||||||
\(984\) | −1.54240 | − | 16.4482i | −0.0491699 | − | 0.524349i | ||||
\(985\) | 26.9032 | + | 33.7355i | 0.857206 | + | 1.07490i | ||||
\(986\) | 42.2691 | + | 17.3593i | 1.34612 | + | 0.552832i | ||||
\(987\) | 13.3292 | + | 6.41900i | 0.424273 | + | 0.204319i | ||||
\(988\) | 22.7800 | + | 54.9959i | 0.724729 | + | 1.74965i | ||||
\(989\) | −29.8371 | + | 8.64893i | −0.948764 | + | 0.275020i | ||||
\(990\) | 2.68141 | − | 2.68141i | 0.0852207 | − | 0.0852207i | ||||
\(991\) | −54.1150 | + | 7.63977i | −1.71902 | + | 0.242685i | −0.928917 | − | 0.370288i | \(-0.879259\pi\) |
−0.790103 | + | 0.612974i | \(0.789973\pi\) | |||||||
\(992\) | 66.4548 | − | 8.11758i | 2.10994 | − | 0.257733i | ||||
\(993\) | −10.3642 | + | 0.874206i | −0.328896 | + | 0.0277421i | ||||
\(994\) | 31.5853 | + | 26.1695i | 1.00183 | + | 0.830045i | ||||
\(995\) | 25.0043 | − | 19.1864i | 0.792688 | − | 0.608251i | ||||
\(996\) | 28.1026 | + | 1.84194i | 0.890465 | + | 0.0583641i | ||||
\(997\) | −13.4193 | − | 29.9891i | −0.424993 | − | 0.949766i | −0.992022 | − | 0.126068i | \(-0.959764\pi\) |
0.567029 | − | 0.823698i | \(-0.308093\pi\) | |||||||
\(998\) | 26.7455 | − | 12.5733i | 0.846615 | − | 0.398000i | ||||
\(999\) | 1.09986 | + | 29.3943i | 0.0347979 | + | 0.929994i |
(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 | 731.2.bm.a.3.12 | ✓ | 6144 | |
17.6 | odd | 16 | inner | 731.2.bm.a.261.12 | yes | 6144 | |
43.29 | odd | 42 | inner | 731.2.bm.a.717.12 | yes | 6144 | |
731.244 | even | 336 | inner | 731.2.bm.a.244.12 | yes | 6144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bm.a.3.12 | ✓ | 6144 | 1.1 | even | 1 | trivial | |
731.2.bm.a.244.12 | yes | 6144 | 731.244 | even | 336 | inner | |
731.2.bm.a.261.12 | yes | 6144 | 17.6 | odd | 16 | inner | |
731.2.bm.a.717.12 | yes | 6144 | 43.29 | odd | 42 | inner |