Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(44,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.44");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cd (of order \(12\), degree \(4\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 44.16 | ||
Character | \(\chi\) | \(=\) | 273.44 |
Dual form | 273.2.cd.e.242.16 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.578797 | − | 0.155088i | 0.409271 | − | 0.109664i | −0.0483087 | − | 0.998832i | \(-0.515383\pi\) |
0.457580 | + | 0.889169i | \(0.348716\pi\) | |||||||
\(3\) | −1.70530 | − | 0.303261i | −0.984553 | − | 0.175088i | ||||
\(4\) | −1.42110 | + | 0.820471i | −0.710549 | + | 0.410236i | ||||
\(5\) | 0.609213 | − | 0.163238i | 0.272448 | − | 0.0730023i | −0.120008 | − | 0.992773i | \(-0.538292\pi\) |
0.392456 | + | 0.919771i | \(0.371625\pi\) | |||||||
\(6\) | −1.03405 | + | 0.0889444i | −0.422150 | + | 0.0363114i | ||||
\(7\) | 2.12540 | − | 1.57565i | 0.803325 | − | 0.595540i | ||||
\(8\) | −1.54270 | + | 1.54270i | −0.545426 | + | 0.545426i | ||||
\(9\) | 2.81607 | + | 1.03430i | 0.938688 | + | 0.344767i | ||||
\(10\) | 0.327294 | − | 0.188963i | 0.103499 | − | 0.0597554i | ||||
\(11\) | 4.87875 | + | 1.30726i | 1.47100 | + | 0.394153i | 0.903273 | − | 0.429066i | \(-0.141157\pi\) |
0.567725 | + | 0.823219i | \(0.307824\pi\) | |||||||
\(12\) | 2.67221 | − | 0.968182i | 0.771400 | − | 0.279490i | ||||
\(13\) | 2.92387 | − | 2.10974i | 0.810935 | − | 0.585136i | ||||
\(14\) | 0.985809 | − | 1.24161i | 0.263469 | − | 0.331833i | ||||
\(15\) | −1.08839 | + | 0.0936184i | −0.281021 | + | 0.0241722i | ||||
\(16\) | 0.987288 | − | 1.71003i | 0.246822 | − | 0.427508i | ||||
\(17\) | 1.40216 | + | 2.42862i | 0.340074 | + | 0.589026i | 0.984446 | − | 0.175686i | \(-0.0562145\pi\) |
−0.644372 | + | 0.764712i | \(0.722881\pi\) | |||||||
\(18\) | 1.79034 | + | 0.161911i | 0.421986 | + | 0.0381629i | ||||
\(19\) | −0.846959 | − | 3.16090i | −0.194306 | − | 0.725159i | −0.992445 | − | 0.122687i | \(-0.960849\pi\) |
0.798140 | − | 0.602473i | \(-0.205818\pi\) | |||||||
\(20\) | −0.731818 | + | 0.731818i | −0.163640 | + | 0.163640i | ||||
\(21\) | −4.10227 | + | 2.04240i | −0.895188 | + | 0.445688i | ||||
\(22\) | 3.02654 | 0.645261 | ||||||||
\(23\) | 0.0947877 | − | 0.164177i | 0.0197646 | − | 0.0342333i | −0.855974 | − | 0.517019i | \(-0.827042\pi\) |
0.875739 | + | 0.482786i | \(0.160375\pi\) | |||||||
\(24\) | 3.09860 | − | 2.16292i | 0.632499 | − | 0.441503i | ||||
\(25\) | −3.98563 | + | 2.30111i | −0.797127 | + | 0.460221i | ||||
\(26\) | 1.36513 | − | 1.67457i | 0.267724 | − | 0.328410i | ||||
\(27\) | −4.48856 | − | 2.61779i | −0.863824 | − | 0.503794i | ||||
\(28\) | −1.72762 | + | 3.98298i | −0.326490 | + | 0.752713i | ||||
\(29\) | 6.29206i | 1.16841i | 0.811607 | + | 0.584203i | \(0.198593\pi\) | ||||
−0.811607 | + | 0.584203i | \(0.801407\pi\) | |||||||
\(30\) | −0.615438 | + | 0.222983i | −0.112363 | + | 0.0407109i | ||||
\(31\) | 4.65914 | + | 1.24841i | 0.836806 | + | 0.224221i | 0.651681 | − | 0.758493i | \(-0.274064\pi\) |
0.185125 | + | 0.982715i | \(0.440731\pi\) | |||||||
\(32\) | 1.43557 | − | 5.35761i | 0.253775 | − | 0.947100i | ||||
\(33\) | −7.92327 | − | 3.70879i | −1.37926 | − | 0.645618i | ||||
\(34\) | 1.18822 | + | 1.18822i | 0.203777 | + | 0.203777i | ||||
\(35\) | 1.03761 | − | 1.30685i | 0.175389 | − | 0.220898i | ||||
\(36\) | −4.85052 | + | 0.840658i | −0.808419 | + | 0.140110i | ||||
\(37\) | 5.36873 | − | 1.43855i | 0.882613 | − | 0.236495i | 0.211079 | − | 0.977469i | \(-0.432302\pi\) |
0.671534 | + | 0.740974i | \(0.265636\pi\) | |||||||
\(38\) | −0.980435 | − | 1.69816i | −0.159047 | − | 0.275478i | ||||
\(39\) | −5.62586 | + | 2.71103i | −0.900859 | + | 0.434113i | ||||
\(40\) | −0.688004 | + | 1.19166i | −0.108783 | + | 0.188418i | ||||
\(41\) | −1.27587 | − | 1.27587i | −0.199258 | − | 0.199258i | 0.600424 | − | 0.799682i | \(-0.294999\pi\) |
−0.799682 | + | 0.600424i | \(0.794999\pi\) | |||||||
\(42\) | −2.05763 | + | 1.81835i | −0.317499 | + | 0.280577i | ||||
\(43\) | 1.11979i | 0.170767i | 0.996348 | + | 0.0853834i | \(0.0272115\pi\) | ||||
−0.996348 | + | 0.0853834i | \(0.972788\pi\) | |||||||
\(44\) | −8.00574 | + | 2.14513i | −1.20691 | + | 0.323391i | ||||
\(45\) | 1.88442 | + | 0.170420i | 0.280913 | + | 0.0254047i | ||||
\(46\) | 0.0294009 | − | 0.109726i | 0.00433492 | − | 0.0161782i | ||||
\(47\) | −3.19947 | − | 11.9406i | −0.466691 | − | 1.74171i | −0.651223 | − | 0.758886i | \(-0.725744\pi\) |
0.184533 | − | 0.982826i | \(-0.440923\pi\) | |||||||
\(48\) | −2.20220 | + | 2.61670i | −0.317861 | + | 0.377689i | ||||
\(49\) | 2.03465 | − | 6.69778i | 0.290664 | − | 0.956825i | ||||
\(50\) | −1.95000 | + | 1.95000i | −0.275771 | + | 0.275771i | ||||
\(51\) | −1.65459 | − | 4.56673i | −0.231690 | − | 0.639470i | ||||
\(52\) | −2.42412 | + | 5.39709i | −0.336165 | + | 0.748442i | ||||
\(53\) | −11.7406 | + | 6.77845i | −1.61270 | + | 0.931092i | −0.623956 | + | 0.781459i | \(0.714476\pi\) |
−0.988742 | + | 0.149633i | \(0.952191\pi\) | |||||||
\(54\) | −3.00395 | − | 0.819047i | −0.408786 | − | 0.111458i | ||||
\(55\) | 3.18559 | 0.429545 | ||||||||
\(56\) | −0.848096 | + | 5.70961i | −0.113332 | + | 0.762978i | ||||
\(57\) | 0.485739 | + | 5.64711i | 0.0643376 | + | 0.747978i | ||||
\(58\) | 0.975824 | + | 3.64182i | 0.128132 | + | 0.478195i | ||||
\(59\) | 4.79496 | + | 1.28481i | 0.624250 | + | 0.167267i | 0.557059 | − | 0.830473i | \(-0.311930\pi\) |
0.0671912 | + | 0.997740i | \(0.478596\pi\) | |||||||
\(60\) | 1.46990 | − | 1.02603i | 0.189763 | − | 0.132460i | ||||
\(61\) | −3.34959 | + | 5.80165i | −0.428871 | + | 0.742826i | −0.996773 | − | 0.0802700i | \(-0.974422\pi\) |
0.567902 | + | 0.823096i | \(0.307755\pi\) | |||||||
\(62\) | 2.89031 | 0.367069 | ||||||||
\(63\) | 7.61496 | − | 2.23884i | 0.959395 | − | 0.282067i | ||||
\(64\) | 0.625545i | 0.0781932i | ||||||||
\(65\) | 1.43687 | − | 1.76257i | 0.178221 | − | 0.218619i | ||||
\(66\) | −5.16115 | − | 0.917833i | −0.635294 | − | 0.112977i | ||||
\(67\) | 8.14904 | + | 2.18353i | 0.995564 | + | 0.266761i | 0.719586 | − | 0.694403i | \(-0.244332\pi\) |
0.275978 | + | 0.961164i | \(0.410998\pi\) | |||||||
\(68\) | −3.98522 | − | 2.30087i | −0.483279 | − | 0.279021i | ||||
\(69\) | −0.211430 | + | 0.251225i | −0.0254531 | + | 0.0302439i | ||||
\(70\) | 0.397890 | − | 0.917323i | 0.0475570 | − | 0.109641i | ||||
\(71\) | −5.98679 | − | 5.98679i | −0.710501 | − | 0.710501i | 0.256139 | − | 0.966640i | \(-0.417550\pi\) |
−0.966640 | + | 0.256139i | \(0.917550\pi\) | |||||||
\(72\) | −5.93995 | + | 2.74873i | −0.700030 | + | 0.323940i | ||||
\(73\) | 0.480360 | − | 1.79273i | 0.0562219 | − | 0.209823i | −0.932101 | − | 0.362199i | \(-0.882026\pi\) |
0.988323 | + | 0.152376i | \(0.0486926\pi\) | |||||||
\(74\) | 2.88430 | − | 1.66525i | 0.335293 | − | 0.193582i | ||||
\(75\) | 7.49452 | − | 2.71538i | 0.865393 | − | 0.313545i | ||||
\(76\) | 3.79704 | + | 3.79704i | 0.435550 | + | 0.435550i | ||||
\(77\) | 12.4291 | − | 4.90876i | 1.41642 | − | 0.559405i | ||||
\(78\) | −2.83578 | + | 2.44164i | −0.321089 | + | 0.276461i | ||||
\(79\) | −4.82027 | + | 8.34896i | −0.542323 | + | 0.939331i | 0.456447 | + | 0.889751i | \(0.349122\pi\) |
−0.998770 | + | 0.0495804i | \(0.984212\pi\) | |||||||
\(80\) | 0.322326 | − | 1.20294i | 0.0360371 | − | 0.134492i | ||||
\(81\) | 6.86045 | + | 5.82531i | 0.762272 | + | 0.647257i | ||||
\(82\) | −0.936345 | − | 0.540599i | −0.103402 | − | 0.0596992i | ||||
\(83\) | −6.08706 | − | 6.08706i | −0.668141 | − | 0.668141i | 0.289144 | − | 0.957286i | \(-0.406629\pi\) |
−0.957286 | + | 0.289144i | \(0.906629\pi\) | |||||||
\(84\) | 4.15399 | − | 6.26824i | 0.453238 | − | 0.683921i | ||||
\(85\) | 1.25066 | + | 1.25066i | 0.135653 | + | 0.135653i | ||||
\(86\) | 0.173667 | + | 0.648132i | 0.0187269 | + | 0.0698899i | ||||
\(87\) | 1.90814 | − | 10.7298i | 0.204574 | − | 1.15036i | ||||
\(88\) | −9.54314 | + | 5.50973i | −1.01730 | + | 0.587340i | ||||
\(89\) | 1.77830 | + | 6.63669i | 0.188499 | + | 0.703488i | 0.993854 | + | 0.110695i | \(0.0353078\pi\) |
−0.805355 | + | 0.592792i | \(0.798026\pi\) | |||||||
\(90\) | 1.11713 | − | 0.193613i | 0.117755 | − | 0.0204086i | ||||
\(91\) | 2.89017 | − | 9.09103i | 0.302972 | − | 0.952999i | ||||
\(92\) | 0.311082i | 0.0324326i | ||||||||
\(93\) | −7.56661 | − | 3.54185i | −0.784621 | − | 0.367273i | ||||
\(94\) | −3.70368 | − | 6.41497i | −0.382006 | − | 0.661654i | ||||
\(95\) | −1.03196 | − | 1.78740i | −0.105877 | − | 0.183384i | ||||
\(96\) | −4.07282 | + | 8.70095i | −0.415681 | + | 0.888037i | ||||
\(97\) | 2.17196 | − | 2.17196i | 0.220529 | − | 0.220529i | −0.588192 | − | 0.808721i | \(-0.700160\pi\) |
0.808721 | + | 0.588192i | \(0.200160\pi\) | |||||||
\(98\) | 0.138901 | − | 4.19220i | 0.0140311 | − | 0.423476i | ||||
\(99\) | 12.3868 | + | 8.72741i | 1.24492 | + | 0.877138i | ||||
\(100\) | 3.77598 | − | 6.54019i | 0.377598 | − | 0.654019i | ||||
\(101\) | 0.875463 | + | 1.51635i | 0.0871119 | + | 0.150882i | 0.906289 | − | 0.422658i | \(-0.138903\pi\) |
−0.819177 | + | 0.573540i | \(0.805570\pi\) | |||||||
\(102\) | −1.66592 | − | 2.38660i | −0.164951 | − | 0.236309i | ||||
\(103\) | −14.3362 | − | 8.27701i | −1.41259 | − | 0.815558i | −0.416957 | − | 0.908926i | \(-0.636903\pi\) |
−0.995632 | + | 0.0933679i | \(0.970237\pi\) | |||||||
\(104\) | −1.25595 | + | 7.76534i | −0.123156 | + | 0.761454i | ||||
\(105\) | −2.16576 | + | 1.91390i | −0.211356 | + | 0.186778i | ||||
\(106\) | −5.74417 | + | 5.74417i | −0.557924 | + | 0.557924i | ||||
\(107\) | 12.2699 | + | 7.08403i | 1.18618 | + | 0.684839i | 0.957435 | − | 0.288649i | \(-0.0932059\pi\) |
0.228741 | + | 0.973487i | \(0.426539\pi\) | |||||||
\(108\) | 8.52650 | + | 0.0374041i | 0.820463 | + | 0.00359921i | ||||
\(109\) | −2.24370 | − | 0.601199i | −0.214908 | − | 0.0575844i | 0.149759 | − | 0.988723i | \(-0.452150\pi\) |
−0.364667 | + | 0.931138i | \(0.618817\pi\) | |||||||
\(110\) | 1.84381 | − | 0.494047i | 0.175800 | − | 0.0471055i | ||||
\(111\) | −9.59152 | + | 0.825018i | −0.910387 | + | 0.0783073i | ||||
\(112\) | −0.596034 | − | 5.19012i | −0.0563199 | − | 0.490420i | ||||
\(113\) | 2.48413i | 0.233687i | 0.993150 | + | 0.116844i | \(0.0372776\pi\) | ||||
−0.993150 | + | 0.116844i | \(0.962722\pi\) | |||||||
\(114\) | 1.15694 | + | 3.19320i | 0.108358 | + | 0.299070i | ||||
\(115\) | 0.0309459 | − | 0.115492i | 0.00288572 | − | 0.0107697i | ||||
\(116\) | −5.16245 | − | 8.94163i | −0.479322 | − | 0.830210i | ||||
\(117\) | 10.4159 | − | 2.91701i | 0.962951 | − | 0.269677i | ||||
\(118\) | 2.97456 | 0.273831 | ||||||||
\(119\) | 6.80680 | + | 2.95246i | 0.623979 | + | 0.270652i | ||||
\(120\) | 1.53463 | − | 1.82348i | 0.140092 | − | 0.166461i | ||||
\(121\) | 12.5670 | + | 7.25555i | 1.14245 | + | 0.659595i | ||||
\(122\) | −1.03896 | + | 3.87746i | −0.0940632 | + | 0.351049i | ||||
\(123\) | 1.78882 | + | 2.56267i | 0.161292 | + | 0.231068i | ||||
\(124\) | −7.64538 | + | 2.04857i | −0.686575 | + | 0.183967i | ||||
\(125\) | −4.28234 | + | 4.28234i | −0.383024 | + | 0.383024i | ||||
\(126\) | 4.06030 | − | 2.47682i | 0.361720 | − | 0.220653i | ||||
\(127\) | − | 18.0650i | − | 1.60301i | −0.597986 | − | 0.801506i | \(-0.704032\pi\) | ||
0.597986 | − | 0.801506i | \(-0.295968\pi\) | |||||||
\(128\) | 2.96815 | + | 11.0773i | 0.262350 | + | 0.979102i | ||||
\(129\) | 0.339590 | − | 1.90958i | 0.0298992 | − | 0.168129i | ||||
\(130\) | 0.558301 | − | 1.24301i | 0.0489662 | − | 0.109019i | ||||
\(131\) | −6.72144 | − | 3.88062i | −0.587255 | − | 0.339052i | 0.176756 | − | 0.984255i | \(-0.443439\pi\) |
−0.764011 | + | 0.645203i | \(0.776773\pi\) | |||||||
\(132\) | 14.3027 | − | 1.23025i | 1.24489 | − | 0.107080i | ||||
\(133\) | −6.78060 | − | 5.38365i | −0.587952 | − | 0.466822i | ||||
\(134\) | 5.05528 | 0.436709 | ||||||||
\(135\) | −3.16181 | − | 0.862088i | −0.272125 | − | 0.0741967i | ||||
\(136\) | −5.90973 | − | 1.58351i | −0.506755 | − | 0.135785i | ||||
\(137\) | −17.0570 | − | 4.57040i | −1.45728 | − | 0.390476i | −0.558728 | − | 0.829351i | \(-0.688710\pi\) |
−0.898548 | + | 0.438875i | \(0.855377\pi\) | |||||||
\(138\) | −0.0834127 | + | 0.178198i | −0.00710056 | + | 0.0151693i | ||||
\(139\) | −9.21743 | −0.781812 | −0.390906 | − | 0.920431i | \(-0.627838\pi\) | ||||
−0.390906 | + | 0.920431i | \(0.627838\pi\) | |||||||
\(140\) | −0.402316 | + | 2.70850i | −0.0340019 | + | 0.228910i | ||||
\(141\) | 1.83492 | + | 21.3325i | 0.154528 | + | 1.79652i | ||||
\(142\) | −4.39361 | − | 2.53665i | −0.368704 | − | 0.212871i | ||||
\(143\) | 17.0228 | − | 6.47064i | 1.42352 | − | 0.541102i | ||||
\(144\) | 4.54895 | − | 3.79441i | 0.379079 | − | 0.316201i | ||||
\(145\) | 1.02710 | + | 3.83320i | 0.0852963 | + | 0.318330i | ||||
\(146\) | − | 1.11212i | − | 0.0920400i | ||||||
\(147\) | −5.50085 | + | 10.8047i | −0.453702 | + | 0.891153i | ||||
\(148\) | −6.44920 | + | 6.44920i | −0.530121 | + | 0.530121i | ||||
\(149\) | −14.7672 | + | 3.95685i | −1.20977 | + | 0.324158i | −0.806673 | − | 0.590998i | \(-0.798734\pi\) |
−0.403100 | + | 0.915156i | \(0.632067\pi\) | |||||||
\(150\) | 3.91668 | − | 2.73396i | 0.319796 | − | 0.223227i | ||||
\(151\) | 1.39020 | − | 5.18831i | 0.113133 | − | 0.422218i | −0.886007 | − | 0.463671i | \(-0.846532\pi\) |
0.999140 | + | 0.0414528i | \(0.0131986\pi\) | |||||||
\(152\) | 6.18291 | + | 3.56971i | 0.501500 | + | 0.289541i | ||||
\(153\) | 1.43666 | + | 8.28939i | 0.116147 | + | 0.670158i | ||||
\(154\) | 6.43261 | − | 4.76878i | 0.518355 | − | 0.384279i | ||||
\(155\) | 3.04219 | 0.244355 | ||||||||
\(156\) | 5.77057 | − | 8.46850i | 0.462015 | − | 0.678022i | ||||
\(157\) | 4.42043 | + | 7.65640i | 0.352788 | + | 0.611047i | 0.986737 | − | 0.162328i | \(-0.0519002\pi\) |
−0.633949 | + | 0.773375i | \(0.718567\pi\) | |||||||
\(158\) | −1.49513 | + | 5.57991i | −0.118946 | + | 0.443914i | ||||
\(159\) | 22.0769 | − | 7.99878i | 1.75081 | − | 0.634345i | ||||
\(160\) | − | 3.49826i | − | 0.276562i | ||||||
\(161\) | −0.0572242 | − | 0.498294i | −0.00450990 | − | 0.0392711i | ||||
\(162\) | 4.87424 | + | 2.30770i | 0.382956 | + | 0.181310i | ||||
\(163\) | 15.7150 | − | 4.21081i | 1.23089 | − | 0.329816i | 0.415964 | − | 0.909381i | \(-0.363444\pi\) |
0.814926 | + | 0.579565i | \(0.196778\pi\) | |||||||
\(164\) | 2.85996 | + | 0.766324i | 0.223325 | + | 0.0598398i | ||||
\(165\) | −5.43237 | − | 0.966066i | −0.422909 | − | 0.0752081i | ||||
\(166\) | −4.46720 | − | 2.57914i | −0.346722 | − | 0.200180i | ||||
\(167\) | 0.0342068 | − | 0.0342068i | 0.00264700 | − | 0.00264700i | −0.705782 | − | 0.708429i | \(-0.749404\pi\) |
0.708429 | + | 0.705782i | \(0.249404\pi\) | |||||||
\(168\) | 3.17776 | − | 9.47937i | 0.245169 | − | 0.731349i | ||||
\(169\) | 4.09800 | − | 12.3372i | 0.315231 | − | 0.949015i | ||||
\(170\) | 0.917838 | + | 0.529914i | 0.0703950 | + | 0.0406425i | ||||
\(171\) | 0.884223 | − | 9.77730i | 0.0676182 | − | 0.747689i | ||||
\(172\) | −0.918757 | − | 1.59133i | −0.0700546 | − | 0.121338i | ||||
\(173\) | −6.08396 | + | 10.5377i | −0.462555 | + | 0.801168i | −0.999087 | − | 0.0427112i | \(-0.986400\pi\) |
0.536533 | + | 0.843880i | \(0.319734\pi\) | |||||||
\(174\) | −0.559643 | − | 6.50632i | −0.0424265 | − | 0.493242i | ||||
\(175\) | −4.84532 | + | 11.1707i | −0.366272 | + | 0.844429i | ||||
\(176\) | 7.05218 | − | 7.05218i | 0.531578 | − | 0.531578i | ||||
\(177\) | −7.78719 | − | 3.64510i | −0.585321 | − | 0.273982i | ||||
\(178\) | 2.05854 | + | 3.56550i | 0.154294 | + | 0.267246i | ||||
\(179\) | −2.66066 | − | 4.60841i | −0.198867 | − | 0.344448i | 0.749294 | − | 0.662237i | \(-0.230393\pi\) |
−0.948161 | + | 0.317789i | \(0.897060\pi\) | |||||||
\(180\) | −2.81777 | + | 1.30393i | −0.210024 | + | 0.0971891i | ||||
\(181\) | 11.1053i | 0.825450i | 0.910856 | + | 0.412725i | \(0.135423\pi\) | ||||
−0.910856 | + | 0.412725i | \(0.864577\pi\) | |||||||
\(182\) | 0.262911 | − | 5.71009i | 0.0194882 | − | 0.423260i | ||||
\(183\) | 7.47145 | − | 8.87774i | 0.552306 | − | 0.656261i | ||||
\(184\) | 0.107047 | + | 0.399505i | 0.00789160 | + | 0.0294519i | ||||
\(185\) | 3.03587 | − | 1.75276i | 0.223202 | − | 0.128866i | ||||
\(186\) | −4.92883 | − | 0.876519i | −0.361399 | − | 0.0642695i | ||||
\(187\) | 3.66597 | + | 13.6816i | 0.268082 | + | 1.00050i | ||||
\(188\) | 14.3437 | + | 14.3437i | 1.04612 | + | 1.04612i | ||||
\(189\) | −13.6647 | + | 1.50855i | −0.993961 | + | 0.109731i | ||||
\(190\) | −0.874498 | − | 0.874498i | −0.0634427 | − | 0.0634427i | ||||
\(191\) | 7.30603 | + | 4.21814i | 0.528646 | + | 0.305214i | 0.740465 | − | 0.672095i | \(-0.234605\pi\) |
−0.211819 | + | 0.977309i | \(0.567939\pi\) | |||||||
\(192\) | 0.189704 | − | 1.06674i | 0.0136907 | − | 0.0769853i | ||||
\(193\) | 0.217532 | − | 0.811840i | 0.0156583 | − | 0.0584375i | −0.957655 | − | 0.287919i | \(-0.907036\pi\) |
0.973313 | + | 0.229482i | \(0.0737032\pi\) | |||||||
\(194\) | 0.920278 | − | 1.59397i | 0.0660721 | − | 0.114440i | ||||
\(195\) | −2.98480 | + | 2.56995i | −0.213746 | + | 0.184038i | ||||
\(196\) | 2.60390 | + | 11.1876i | 0.185993 | + | 0.799112i | ||||
\(197\) | −7.41450 | − | 7.41450i | −0.528261 | − | 0.528261i | 0.391792 | − | 0.920054i | \(-0.371855\pi\) |
−0.920054 | + | 0.391792i | \(0.871855\pi\) | |||||||
\(198\) | 8.52294 | + | 3.13035i | 0.605699 | + | 0.222465i | ||||
\(199\) | 0.0921476 | − | 0.0532014i | 0.00653217 | − | 0.00377135i | −0.496730 | − | 0.867905i | \(-0.665466\pi\) |
0.503263 | + | 0.864134i | \(0.332133\pi\) | |||||||
\(200\) | 2.59872 | − | 9.69854i | 0.183757 | − | 0.685791i | ||||
\(201\) | −13.2343 | − | 6.19485i | −0.933479 | − | 0.436951i | ||||
\(202\) | 0.741883 | + | 0.741883i | 0.0521987 | + | 0.0521987i | ||||
\(203\) | 9.91409 | + | 13.3731i | 0.695833 | + | 0.938611i | ||||
\(204\) | 6.09821 | + | 5.13222i | 0.426960 | + | 0.359327i | ||||
\(205\) | −0.985550 | − | 0.569007i | −0.0688338 | − | 0.0397412i | ||||
\(206\) | −9.58142 | − | 2.56733i | −0.667569 | − | 0.178875i | ||||
\(207\) | 0.436737 | − | 0.364294i | 0.0303553 | − | 0.0253202i | ||||
\(208\) | −0.721025 | − | 7.08283i | −0.0499941 | − | 0.491106i | ||||
\(209\) | − | 16.5284i | − | 1.14329i | ||||||
\(210\) | −0.956709 | + | 1.44364i | −0.0660192 | + | 0.0996208i | ||||
\(211\) | −19.2864 | −1.32773 | −0.663864 | − | 0.747853i | \(-0.731085\pi\) | ||||
−0.663864 | + | 0.747853i | \(0.731085\pi\) | |||||||
\(212\) | 11.1230 | − | 19.2657i | 0.763934 | − | 1.32317i | ||||
\(213\) | 8.39368 | + | 12.0248i | 0.575126 | + | 0.823926i | ||||
\(214\) | 8.20042 | + | 2.19730i | 0.560569 | + | 0.150204i | ||||
\(215\) | 0.182793 | + | 0.682192i | 0.0124664 | + | 0.0465251i | ||||
\(216\) | 10.9630 | − | 2.88603i | 0.745935 | − | 0.196370i | ||||
\(217\) | 11.8696 | − | 4.68780i | 0.805760 | − | 0.318229i | ||||
\(218\) | −1.39189 | −0.0942705 | ||||||||
\(219\) | −1.36282 | + | 2.91146i | −0.0920909 | + | 0.196738i | ||||
\(220\) | −4.52703 | + | 2.61368i | −0.305212 | + | 0.176214i | ||||
\(221\) | 9.22348 | + | 4.14275i | 0.620438 | + | 0.278672i | ||||
\(222\) | −5.42359 | + | 1.96505i | −0.364007 | + | 0.131885i | ||||
\(223\) | −19.5886 | + | 19.5886i | −1.31175 | + | 1.31175i | −0.391624 | + | 0.920125i | \(0.628087\pi\) |
−0.920125 | + | 0.391624i | \(0.871913\pi\) | |||||||
\(224\) | −5.39057 | − | 13.6490i | −0.360173 | − | 0.911963i | ||||
\(225\) | −13.6038 | + | 2.35772i | −0.906923 | + | 0.157182i | ||||
\(226\) | 0.385259 | + | 1.43781i | 0.0256270 | + | 0.0956414i | ||||
\(227\) | −6.28349 | + | 23.4503i | −0.417050 | + | 1.55645i | 0.363645 | + | 0.931538i | \(0.381532\pi\) |
−0.780695 | + | 0.624913i | \(0.785134\pi\) | |||||||
\(228\) | −5.32357 | − | 7.62656i | −0.352562 | − | 0.505081i | ||||
\(229\) | −13.3404 | + | 3.57456i | −0.881561 | + | 0.236214i | −0.671081 | − | 0.741384i | \(-0.734170\pi\) |
−0.210481 | + | 0.977598i | \(0.567503\pi\) | |||||||
\(230\) | − | 0.0716456i | − | 0.00472417i | ||||||
\(231\) | −22.6839 | + | 4.60163i | −1.49249 | + | 0.302765i | ||||
\(232\) | −9.70675 | − | 9.70675i | −0.637279 | − | 0.637279i | ||||
\(233\) | 8.83595 | − | 15.3043i | 0.578863 | − | 1.00262i | −0.416748 | − | 0.909022i | \(-0.636830\pi\) |
0.995610 | − | 0.0935972i | \(-0.0298366\pi\) | |||||||
\(234\) | 5.57630 | − | 3.30374i | 0.364534 | − | 0.215972i | ||||
\(235\) | −3.89831 | − | 6.75208i | −0.254298 | − | 0.440457i | ||||
\(236\) | −7.86825 | + | 2.10829i | −0.512179 | + | 0.137238i | ||||
\(237\) | 10.7519 | − | 12.7756i | 0.698411 | − | 0.829867i | ||||
\(238\) | 4.39765 | + | 0.653219i | 0.285057 | + | 0.0423419i | ||||
\(239\) | 10.2026 | + | 10.2026i | 0.659950 | + | 0.659950i | 0.955368 | − | 0.295418i | \(-0.0954590\pi\) |
−0.295418 | + | 0.955368i | \(0.595459\pi\) | |||||||
\(240\) | −0.914465 | + | 1.95361i | −0.0590284 | + | 0.126105i | ||||
\(241\) | −4.37567 | + | 16.3302i | −0.281862 | + | 1.05192i | 0.669240 | + | 0.743046i | \(0.266620\pi\) |
−0.951102 | + | 0.308877i | \(0.900047\pi\) | |||||||
\(242\) | 8.39897 | + | 2.25050i | 0.539906 | + | 0.144668i | ||||
\(243\) | −9.93249 | − | 12.0144i | −0.637170 | − | 0.770724i | ||||
\(244\) | − | 10.9930i | − | 0.703752i | ||||||
\(245\) | 0.146200 | − | 4.41250i | 0.00934037 | − | 0.281904i | ||||
\(246\) | 1.43280 | + | 1.20584i | 0.0913521 | + | 0.0768814i | ||||
\(247\) | −9.14506 | − | 7.45518i | −0.581886 | − | 0.474361i | ||||
\(248\) | −9.11357 | + | 5.26172i | −0.578712 | + | 0.334120i | ||||
\(249\) | 8.53426 | + | 12.2262i | 0.540837 | + | 0.774804i | ||||
\(250\) | −1.81447 | + | 3.14275i | −0.114757 | + | 0.198765i | ||||
\(251\) | −24.6814 | −1.55787 | −0.778937 | − | 0.627102i | \(-0.784241\pi\) | ||||
−0.778937 | + | 0.627102i | \(0.784241\pi\) | |||||||
\(252\) | −8.98470 | + | 9.42946i | −0.565983 | + | 0.594000i | ||||
\(253\) | 0.677067 | − | 0.677067i | 0.0425668 | − | 0.0425668i | ||||
\(254\) | −2.80167 | − | 10.4560i | −0.175793 | − | 0.656067i | ||||
\(255\) | −1.75346 | − | 2.51202i | −0.109806 | − | 0.157308i | ||||
\(256\) | 2.81036 | + | 4.86769i | 0.175648 | + | 0.304231i | ||||
\(257\) | 2.33559 | − | 4.04536i | 0.145690 | − | 0.252343i | −0.783940 | − | 0.620836i | \(-0.786793\pi\) |
0.929630 | + | 0.368494i | \(0.120126\pi\) | |||||||
\(258\) | −0.0995992 | − | 1.15792i | −0.00620078 | − | 0.0720892i | ||||
\(259\) | 9.14404 | − | 11.5167i | 0.568183 | − | 0.715614i | ||||
\(260\) | −0.595794 | + | 3.68369i | −0.0369495 | + | 0.228453i | ||||
\(261\) | −6.50788 | + | 17.7189i | −0.402828 | + | 1.09677i | ||||
\(262\) | −4.49218 | − | 1.20368i | −0.277528 | − | 0.0743634i | ||||
\(263\) | −2.05144 | + | 1.18440i | −0.126497 | + | 0.0730332i | −0.561913 | − | 0.827196i | \(-0.689935\pi\) |
0.435416 | + | 0.900229i | \(0.356601\pi\) | |||||||
\(264\) | 17.9448 | − | 6.50166i | 1.10442 | − | 0.400149i | ||||
\(265\) | −6.04603 | + | 6.04603i | −0.371405 | + | 0.371405i | ||||
\(266\) | −4.75953 | − | 2.06445i | −0.291825 | − | 0.126580i | ||||
\(267\) | −1.01987 | − | 11.8568i | −0.0624149 | − | 0.725625i | ||||
\(268\) | −13.3721 | + | 3.58304i | −0.816831 | + | 0.218869i | ||||
\(269\) | −16.9032 | + | 9.75907i | −1.03061 | + | 0.595021i | −0.917158 | − | 0.398523i | \(-0.869523\pi\) |
−0.113448 | + | 0.993544i | \(0.536190\pi\) | |||||||
\(270\) | −1.96374 | − | 0.00861456i | −0.119510 | − | 0.000524265i | ||||
\(271\) | 14.1635 | − | 3.79511i | 0.860373 | − | 0.230536i | 0.198453 | − | 0.980110i | \(-0.436408\pi\) |
0.661920 | + | 0.749574i | \(0.269742\pi\) | |||||||
\(272\) | 5.53735 | 0.335751 | ||||||||
\(273\) | −7.68556 | + | 14.6264i | −0.465151 | + | 0.885231i | ||||
\(274\) | −10.5813 | −0.639242 | ||||||||
\(275\) | −22.4530 | + | 6.01627i | −1.35397 | + | 0.362795i | ||||
\(276\) | 0.0943392 | − | 0.530487i | 0.00567855 | − | 0.0319316i | ||||
\(277\) | 10.0421 | − | 5.79783i | 0.603374 | − | 0.348358i | −0.166994 | − | 0.985958i | \(-0.553406\pi\) |
0.770368 | + | 0.637600i | \(0.220073\pi\) | |||||||
\(278\) | −5.33502 | + | 1.42951i | −0.319973 | + | 0.0857365i | ||||
\(279\) | 11.8292 | + | 8.33456i | 0.708196 | + | 0.498977i | ||||
\(280\) | 0.415354 | + | 3.61680i | 0.0248222 | + | 0.216145i | ||||
\(281\) | −9.17695 | + | 9.17695i | −0.547451 | + | 0.547451i | −0.925703 | − | 0.378252i | \(-0.876525\pi\) |
0.378252 | + | 0.925703i | \(0.376525\pi\) | |||||||
\(282\) | 4.37046 | + | 12.0626i | 0.260257 | + | 0.718317i | ||||
\(283\) | 3.02366 | − | 1.74571i | 0.179738 | − | 0.103772i | −0.407432 | − | 0.913236i | \(-0.633576\pi\) |
0.587170 | + | 0.809464i | \(0.300242\pi\) | |||||||
\(284\) | 13.4198 | + | 3.59582i | 0.796319 | + | 0.213373i | ||||
\(285\) | 1.21774 | + | 3.36100i | 0.0721328 | + | 0.199088i | ||||
\(286\) | 8.84921 | − | 6.38522i | 0.523265 | − | 0.377566i | ||||
\(287\) | −4.72208 | − | 0.701409i | −0.278735 | − | 0.0414029i | ||||
\(288\) | 9.58403 | − | 13.6026i | 0.564744 | − | 0.801539i | ||||
\(289\) | 4.56789 | − | 7.91181i | 0.268699 | − | 0.465401i | ||||
\(290\) | 1.18897 | + | 2.05935i | 0.0698186 | + | 0.120929i | ||||
\(291\) | −4.36250 | + | 3.04516i | −0.255735 | + | 0.178511i | ||||
\(292\) | 0.788243 | + | 2.94176i | 0.0461284 | + | 0.172154i | ||||
\(293\) | 11.5707 | − | 11.5707i | 0.675966 | − | 0.675966i | −0.283119 | − | 0.959085i | \(-0.591369\pi\) |
0.959085 | + | 0.283119i | \(0.0913692\pi\) | |||||||
\(294\) | −1.50820 | + | 7.10682i | −0.0879600 | + | 0.414478i | ||||
\(295\) | 3.13088 | 0.182287 | ||||||||
\(296\) | −6.06308 | + | 10.5016i | −0.352410 | + | 0.610391i | ||||
\(297\) | −18.4764 | − | 18.6392i | −1.07211 | − | 1.08156i | ||||
\(298\) | −7.93352 | + | 4.58042i | −0.459577 | + | 0.265337i | ||||
\(299\) | −0.0692243 | − | 0.680009i | −0.00400334 | − | 0.0393260i | ||||
\(300\) | −8.42255 | + | 10.0079i | −0.486276 | + | 0.577804i | ||||
\(301\) | 1.76440 | + | 2.38001i | 0.101698 | + | 0.137181i | ||||
\(302\) | − | 3.21858i | − | 0.185208i | ||||||
\(303\) | −1.03307 | − | 2.85131i | −0.0593486 | − | 0.163804i | ||||
\(304\) | −6.24143 | − | 1.67239i | −0.357970 | − | 0.0959179i | ||||
\(305\) | −1.09356 | + | 4.08122i | −0.0626171 | + | 0.233690i | ||||
\(306\) | 2.11712 | + | 4.57507i | 0.121028 | + | 0.261539i | ||||
\(307\) | 1.22279 | + | 1.22279i | 0.0697881 | + | 0.0697881i | 0.741139 | − | 0.671351i | \(-0.234286\pi\) |
−0.671351 | + | 0.741139i | \(0.734286\pi\) | |||||||
\(308\) | −13.6354 | + | 17.1735i | −0.776950 | + | 0.978552i | ||||
\(309\) | 21.9374 | + | 18.4624i | 1.24797 | + | 1.05029i | ||||
\(310\) | 1.76081 | − | 0.471808i | 0.100007 | − | 0.0267969i | ||||
\(311\) | −14.5467 | − | 25.1956i | −0.824868 | − | 1.42871i | −0.902020 | − | 0.431694i | \(-0.857916\pi\) |
0.0771516 | − | 0.997019i | \(-0.475417\pi\) | |||||||
\(312\) | 4.49670 | − | 12.8613i | 0.254575 | − | 0.728128i | ||||
\(313\) | 3.87011 | − | 6.70322i | 0.218751 | − | 0.378888i | −0.735675 | − | 0.677335i | \(-0.763135\pi\) |
0.954427 | + | 0.298446i | \(0.0964683\pi\) | |||||||
\(314\) | 3.74594 | + | 3.74594i | 0.211396 | + | 0.211396i | ||||
\(315\) | 4.27367 | − | 2.60698i | 0.240794 | − | 0.146887i | ||||
\(316\) | − | 15.8196i | − | 0.889921i | ||||||
\(317\) | −2.23446 | + | 0.598722i | −0.125500 | + | 0.0336276i | −0.321022 | − | 0.947072i | \(-0.604026\pi\) |
0.195522 | + | 0.980699i | \(0.437360\pi\) | |||||||
\(318\) | 11.5375 | − | 8.05353i | 0.646991 | − | 0.451619i | ||||
\(319\) | −8.22534 | + | 30.6974i | −0.460530 | + | 1.71872i | ||||
\(320\) | 0.102113 | + | 0.381090i | 0.00570828 | + | 0.0213036i | ||||
\(321\) | −18.7755 | − | 15.8013i | −1.04795 | − | 0.881945i | ||||
\(322\) | −0.110401 | − | 0.279536i | −0.00615239 | − | 0.0155779i | ||||
\(323\) | 6.48903 | − | 6.48903i | 0.361059 | − | 0.361059i | ||||
\(324\) | −14.5289 | − | 2.64954i | −0.807159 | − | 0.147197i | ||||
\(325\) | −6.79873 | + | 15.1368i | −0.377126 | + | 0.839637i | ||||
\(326\) | 8.44272 | − | 4.87440i | 0.467599 | − | 0.269968i | ||||
\(327\) | 3.64386 | + | 1.70565i | 0.201506 | + | 0.0943227i | ||||
\(328\) | 3.93658 | 0.217361 | ||||||||
\(329\) | −25.6143 | − | 20.3373i | −1.41216 | − | 1.12123i | ||||
\(330\) | −3.29406 | + | 0.283340i | −0.181332 | + | 0.0155974i | ||||
\(331\) | 5.48984 | + | 20.4884i | 0.301749 | + | 1.12614i | 0.935708 | + | 0.352775i | \(0.114762\pi\) |
−0.633959 | + | 0.773366i | \(0.718571\pi\) | |||||||
\(332\) | 13.6446 | + | 3.65605i | 0.748842 | + | 0.200652i | ||||
\(333\) | 16.6066 | + | 1.50184i | 0.910034 | + | 0.0823002i | ||||
\(334\) | 0.0144937 | − | 0.0251038i | 0.000793060 | − | 0.00137362i | ||||
\(335\) | 5.32093 | 0.290714 | ||||||||
\(336\) | −0.557549 | + | 9.03145i | −0.0304168 | + | 0.492706i | ||||
\(337\) | − | 14.0203i | − | 0.763735i | −0.924217 | − | 0.381867i | \(-0.875281\pi\) | ||
0.924217 | − | 0.381867i | \(-0.124719\pi\) | |||||||
\(338\) | 0.458555 | − | 7.77628i | 0.0249421 | − | 0.422974i | ||||
\(339\) | 0.753340 | − | 4.23617i | 0.0409158 | − | 0.230077i | ||||
\(340\) | −2.80343 | − | 0.751178i | −0.152037 | − | 0.0407383i | ||||
\(341\) | 21.0988 | + | 12.1814i | 1.14256 | + | 0.659659i | ||||
\(342\) | −1.00456 | − | 5.79620i | −0.0543202 | − | 0.313423i | ||||
\(343\) | −6.22893 | − | 17.4413i | −0.336330 | − | 0.941744i | ||||
\(344\) | −1.72750 | − | 1.72750i | −0.0931407 | − | 0.0931407i | ||||
\(345\) | −0.0877961 | + | 0.187563i | −0.00472678 | + | 0.0100980i | ||||
\(346\) | −1.88710 | + | 7.04275i | −0.101451 | + | 0.378621i | ||||
\(347\) | 15.8244 | − | 9.13621i | 0.849497 | − | 0.490457i | −0.0109840 | − | 0.999940i | \(-0.503496\pi\) |
0.860481 | + | 0.509482i | \(0.170163\pi\) | |||||||
\(348\) | 6.09186 | + | 16.8137i | 0.326558 | + | 0.901309i | ||||
\(349\) | −0.993560 | − | 0.993560i | −0.0531841 | − | 0.0531841i | 0.680015 | − | 0.733199i | \(-0.261973\pi\) |
−0.733199 | + | 0.680015i | \(0.761973\pi\) | |||||||
\(350\) | −1.07201 | + | 7.21704i | −0.0573012 | + | 0.385767i | ||||
\(351\) | −18.6468 | + | 1.81562i | −0.995293 | + | 0.0969104i | ||||
\(352\) | 14.0075 | − | 24.2618i | 0.746604 | − | 1.29316i | ||||
\(353\) | 8.15676 | − | 30.4414i | 0.434140 | − | 1.62023i | −0.308975 | − | 0.951070i | \(-0.599986\pi\) |
0.743115 | − | 0.669163i | \(-0.233347\pi\) | |||||||
\(354\) | −5.07251 | − | 0.902070i | −0.269601 | − | 0.0479445i | ||||
\(355\) | −4.62450 | − | 2.66996i | −0.245443 | − | 0.141707i | ||||
\(356\) | −7.97234 | − | 7.97234i | −0.422533 | − | 0.422533i | ||||
\(357\) | −10.7122 | − | 7.09906i | −0.566952 | − | 0.375722i | ||||
\(358\) | −2.25469 | − | 2.25469i | −0.119164 | − | 0.119164i | ||||
\(359\) | −6.16476 | − | 23.0072i | −0.325364 | − | 1.21427i | −0.913946 | − | 0.405837i | \(-0.866980\pi\) |
0.588582 | − | 0.808438i | \(-0.299686\pi\) | |||||||
\(360\) | −3.17000 | + | 2.64418i | −0.167074 | + | 0.139361i | ||||
\(361\) | 7.18056 | − | 4.14570i | 0.377924 | − | 0.218195i | ||||
\(362\) | 1.72230 | + | 6.42771i | 0.0905221 | + | 0.337833i | ||||
\(363\) | −19.2301 | − | 16.1839i | −1.00932 | − | 0.849436i | ||||
\(364\) | 3.35171 | + | 15.2905i | 0.175678 | + | 0.801443i | ||||
\(365\) | − | 1.17057i | − | 0.0612702i | ||||||
\(366\) | 2.94762 | − | 6.29714i | 0.154075 | − | 0.329157i | ||||
\(367\) | 8.47298 | + | 14.6756i | 0.442286 | + | 0.766061i | 0.997859 | − | 0.0654064i | \(-0.0208344\pi\) |
−0.555573 | + | 0.831468i | \(0.687501\pi\) | |||||||
\(368\) | −0.187165 | − | 0.324180i | −0.00975667 | − | 0.0168991i | ||||
\(369\) | −2.27331 | − | 4.91258i | −0.118344 | − | 0.255739i | ||||
\(370\) | 1.48532 | − | 1.48532i | 0.0772181 | − | 0.0772181i | ||||
\(371\) | −14.2730 | + | 32.9060i | −0.741019 | + | 1.70840i | ||||
\(372\) | 13.6589 | − | 1.17487i | 0.708180 | − | 0.0609144i | ||||
\(373\) | 13.4127 | − | 23.2315i | 0.694484 | − | 1.20288i | −0.275870 | − | 0.961195i | \(-0.588966\pi\) |
0.970354 | − | 0.241687i | \(-0.0777008\pi\) | |||||||
\(374\) | 4.24370 | + | 7.35031i | 0.219437 | + | 0.380075i | ||||
\(375\) | 8.60133 | − | 6.00399i | 0.444171 | − | 0.310045i | ||||
\(376\) | 23.3565 | + | 13.4849i | 1.20452 | + | 0.695431i | ||||
\(377\) | 13.2746 | + | 18.3971i | 0.683677 | + | 0.947501i | ||||
\(378\) | −7.67513 | + | 2.99238i | −0.394766 | + | 0.153911i | ||||
\(379\) | 0.604563 | − | 0.604563i | 0.0310543 | − | 0.0310543i | −0.691409 | − | 0.722463i | \(-0.743010\pi\) |
0.722463 | + | 0.691409i | \(0.243010\pi\) | |||||||
\(380\) | 2.93302 | + | 1.69338i | 0.150461 | + | 0.0868686i | ||||
\(381\) | −5.47843 | + | 30.8062i | −0.280668 | + | 1.57825i | ||||
\(382\) | 4.88289 | + | 1.30837i | 0.249830 | + | 0.0669419i | ||||
\(383\) | 30.9591 | − | 8.29547i | 1.58194 | − | 0.423879i | 0.642412 | − | 0.766359i | \(-0.277934\pi\) |
0.939525 | + | 0.342480i | \(0.111267\pi\) | |||||||
\(384\) | −1.70226 | − | 19.7902i | −0.0868680 | − | 1.00991i | ||||
\(385\) | 6.77065 | − | 5.01938i | 0.345064 | − | 0.255811i | ||||
\(386\) | − | 0.503627i | − | 0.0256339i | ||||||
\(387\) | −1.15820 | + | 3.15341i | −0.0588747 | + | 0.160297i | ||||
\(388\) | −1.30454 | + | 4.86860i | −0.0662278 | + | 0.247166i | ||||
\(389\) | 13.6175 | + | 23.5862i | 0.690435 | + | 1.19587i | 0.971696 | + | 0.236236i | \(0.0759140\pi\) |
−0.281261 | + | 0.959631i | \(0.590753\pi\) | |||||||
\(390\) | −1.32902 | + | 1.95039i | −0.0672978 | + | 0.0987616i | ||||
\(391\) | 0.531631 | 0.0268857 | ||||||||
\(392\) | 7.19381 | + | 13.4715i | 0.363342 | + | 0.680413i | ||||
\(393\) | 10.2852 | + | 8.65596i | 0.518819 | + | 0.436636i | ||||
\(394\) | −5.44139 | − | 3.14159i | −0.274133 | − | 0.158271i | ||||
\(395\) | −1.57370 | + | 5.87314i | −0.0791816 | + | 0.295510i | ||||
\(396\) | −24.7634 | − | 2.23951i | −1.24441 | − | 0.112540i | ||||
\(397\) | 27.7511 | − | 7.43588i | 1.39279 | − | 0.373196i | 0.517038 | − | 0.855962i | \(-0.327034\pi\) |
0.875749 | + | 0.482766i | \(0.160368\pi\) | |||||||
\(398\) | 0.0450838 | − | 0.0450838i | 0.00225985 | − | 0.00225985i | ||||
\(399\) | 9.93027 | + | 11.2370i | 0.497135 | + | 0.562554i | ||||
\(400\) | 9.08742i | 0.454371i | ||||||||
\(401\) | 0.944439 | + | 3.52469i | 0.0471630 | + | 0.176015i | 0.985490 | − | 0.169735i | \(-0.0542912\pi\) |
−0.938327 | + | 0.345750i | \(0.887625\pi\) | |||||||
\(402\) | −8.62074 | − | 1.53307i | −0.429964 | − | 0.0764626i | ||||
\(403\) | 16.2565 | − | 6.17938i | 0.809795 | − | 0.307817i | ||||
\(404\) | −2.48824 | − | 1.43658i | −0.123794 | − | 0.0714728i | ||||
\(405\) | 5.13038 | + | 2.42897i | 0.254931 | + | 0.120696i | ||||
\(406\) | 7.81226 | + | 6.20277i | 0.387716 | + | 0.307838i | ||||
\(407\) | 28.0732 | 1.39154 | ||||||||
\(408\) | 9.59762 | + | 4.49254i | 0.475153 | + | 0.222414i | ||||
\(409\) | −6.90735 | − | 1.85082i | −0.341547 | − | 0.0915171i | 0.0839687 | − | 0.996468i | \(-0.473240\pi\) |
−0.425515 | + | 0.904951i | \(0.639907\pi\) | |||||||
\(410\) | −0.658679 | − | 0.176493i | −0.0325298 | − | 0.00871635i | ||||
\(411\) | 27.7012 | + | 12.9666i | 1.36640 | + | 0.639596i | ||||
\(412\) | 27.1642 | 1.33828 | ||||||||
\(413\) | 12.2156 | − | 4.82446i | 0.601091 | − | 0.237396i | ||||
\(414\) | 0.196284 | − | 0.278585i | 0.00964683 | − | 0.0136917i | ||||
\(415\) | −4.70195 | − | 2.71467i | −0.230810 | − | 0.133258i | ||||
\(416\) | −7.10575 | − | 18.6936i | −0.348388 | − | 0.916529i | ||||
\(417\) | 15.7184 | + | 2.79529i | 0.769735 | + | 0.136886i | ||||
\(418\) | −2.56336 | − | 9.56659i | −0.125378 | − | 0.467917i | ||||
\(419\) | − | 1.06805i | − | 0.0521776i | −0.999660 | − | 0.0260888i | \(-0.991695\pi\) | ||
0.999660 | − | 0.0260888i | \(-0.00830526\pi\) | |||||||
\(420\) | 1.50745 | − | 4.49678i | 0.0735560 | − | 0.219420i | ||||
\(421\) | 13.1501 | − | 13.1501i | 0.640898 | − | 0.640898i | −0.309878 | − | 0.950776i | \(-0.600288\pi\) |
0.950776 | + | 0.309878i | \(0.100288\pi\) | |||||||
\(422\) | −11.1629 | + | 2.99109i | −0.543401 | + | 0.145604i | ||||
\(423\) | 3.34024 | − | 36.9347i | 0.162408 | − | 1.79582i | ||||
\(424\) | 7.65513 | − | 28.5693i | 0.371766 | − | 1.38745i | ||||
\(425\) | −11.1770 | − | 6.45305i | −0.542164 | − | 0.313019i | ||||
\(426\) | 6.72314 | + | 5.65816i | 0.325737 | + | 0.274139i | ||||
\(427\) | 2.02217 | + | 17.6086i | 0.0978599 | + | 0.852141i | ||||
\(428\) | −23.2490 | −1.12378 | ||||||||
\(429\) | −30.9912 | + | 5.87200i | −1.49627 | + | 0.283503i | ||||
\(430\) | 0.211600 | + | 0.366501i | 0.0102042 | + | 0.0176743i | ||||
\(431\) | −4.57072 | + | 17.0582i | −0.220164 | + | 0.821662i | 0.764121 | + | 0.645073i | \(0.223173\pi\) |
−0.984285 | + | 0.176589i | \(0.943494\pi\) | |||||||
\(432\) | −8.90801 | + | 5.09107i | −0.428587 | + | 0.244944i | ||||
\(433\) | 22.5992i | 1.08605i | 0.839717 | + | 0.543025i | \(0.182721\pi\) | ||||
−0.839717 | + | 0.543025i | \(0.817279\pi\) | |||||||
\(434\) | 6.14306 | − | 4.55412i | 0.294876 | − | 0.218605i | ||||
\(435\) | −0.589053 | − | 6.84822i | −0.0282429 | − | 0.328347i | ||||
\(436\) | 3.68179 | − | 0.986532i | 0.176326 | − | 0.0472463i | ||||
\(437\) | −0.599228 | − | 0.160563i | −0.0286650 | − | 0.00768075i | ||||
\(438\) | −0.337264 | + | 1.89650i | −0.0161151 | + | 0.0906182i | ||||
\(439\) | −7.07699 | − | 4.08590i | −0.337766 | − | 0.195010i | 0.321517 | − | 0.946904i | \(-0.395807\pi\) |
−0.659284 | + | 0.751894i | \(0.729140\pi\) | |||||||
\(440\) | −4.91440 | + | 4.91440i | −0.234285 | + | 0.234285i | ||||
\(441\) | 12.6572 | − | 16.7569i | 0.602724 | − | 0.797950i | ||||
\(442\) | 5.98101 | + | 0.967359i | 0.284488 | + | 0.0460126i | ||||
\(443\) | 15.5991 | + | 9.00612i | 0.741133 | + | 0.427894i | 0.822481 | − | 0.568792i | \(-0.192589\pi\) |
−0.0813479 | + | 0.996686i | \(0.525922\pi\) | |||||||
\(444\) | 12.9536 | − | 9.04200i | 0.614750 | − | 0.429114i | ||||
\(445\) | 2.16672 | + | 3.75287i | 0.102712 | + | 0.177903i | ||||
\(446\) | −8.29986 | + | 14.3758i | −0.393010 | + | 0.680713i | ||||
\(447\) | 26.3823 | − | 2.26929i | 1.24784 | − | 0.107334i | ||||
\(448\) | 0.985641 | + | 1.32953i | 0.0465672 | + | 0.0628146i | ||||
\(449\) | 1.78185 | − | 1.78185i | 0.0840906 | − | 0.0840906i | −0.663810 | − | 0.747901i | \(-0.731062\pi\) |
0.747901 | + | 0.663810i | \(0.231062\pi\) | |||||||
\(450\) | −7.50820 | + | 3.47444i | −0.353940 | + | 0.163786i | ||||
\(451\) | −4.55677 | − | 7.89256i | −0.214570 | − | 0.371646i | ||||
\(452\) | −2.03816 | − | 3.53019i | −0.0958668 | − | 0.166046i | ||||
\(453\) | −3.94412 | + | 8.42600i | −0.185311 | + | 0.395888i | ||||
\(454\) | 14.5474i | 0.682745i | ||||||||
\(455\) | 0.276727 | − | 6.01016i | 0.0129731 | − | 0.281761i | ||||
\(456\) | −9.46114 | − | 7.96244i | −0.443058 | − | 0.372875i | ||||
\(457\) | 0.574076 | + | 2.14248i | 0.0268542 | + | 0.100221i | 0.978052 | − | 0.208360i | \(-0.0668126\pi\) |
−0.951198 | + | 0.308581i | \(0.900146\pi\) | |||||||
\(458\) | −7.16703 | + | 4.13789i | −0.334893 | + | 0.193351i | ||||
\(459\) | 0.0639225 | − | 14.5716i | 0.00298365 | − | 0.680142i | ||||
\(460\) | 0.0507804 | + | 0.189515i | 0.00236765 | + | 0.00883619i | ||||
\(461\) | −4.60624 | − | 4.60624i | −0.214534 | − | 0.214534i | 0.591656 | − | 0.806190i | \(-0.298474\pi\) |
−0.806190 | + | 0.591656i | \(0.798474\pi\) | |||||||
\(462\) | −12.4157 | + | 6.18141i | −0.577630 | + | 0.287585i | ||||
\(463\) | −10.6044 | − | 10.6044i | −0.492827 | − | 0.492827i | 0.416369 | − | 0.909196i | \(-0.363303\pi\) |
−0.909196 | + | 0.416369i | \(0.863303\pi\) | |||||||
\(464\) | 10.7596 | + | 6.21207i | 0.499503 | + | 0.288388i | ||||
\(465\) | −5.18784 | − | 0.922580i | −0.240580 | − | 0.0427836i | ||||
\(466\) | 2.74070 | − | 10.2284i | 0.126961 | − | 0.473823i | ||||
\(467\) | −21.4057 | + | 37.0758i | −0.990540 | + | 1.71567i | −0.376428 | + | 0.926446i | \(0.622848\pi\) |
−0.614112 | + | 0.789219i | \(0.710486\pi\) | |||||||
\(468\) | −12.4087 | + | 12.6913i | −0.573592 | + | 0.586656i | ||||
\(469\) | 20.7604 | − | 8.19918i | 0.958628 | − | 0.378603i | ||||
\(470\) | −3.30350 | − | 3.30350i | −0.152379 | − | 0.152379i | ||||
\(471\) | −5.21624 | − | 14.3970i | −0.240352 | − | 0.663377i | ||||
\(472\) | −9.37924 | + | 5.41511i | −0.431715 | + | 0.249251i | ||||
\(473\) | −1.46386 | + | 5.46319i | −0.0673082 | + | 0.251198i | ||||
\(474\) | 4.24182 | − | 9.06199i | 0.194833 | − | 0.416231i | ||||
\(475\) | 10.6492 | + | 10.6492i | 0.488620 | + | 0.488620i | ||||
\(476\) | −12.0955 | + | 1.38905i | −0.554398 | + | 0.0636671i | ||||
\(477\) | −40.0733 | + | 6.94523i | −1.83483 | + | 0.318000i | ||||
\(478\) | 7.48751 | + | 4.32292i | 0.342471 | + | 0.197726i | ||||
\(479\) | −18.3716 | − | 4.92266i | −0.839421 | − | 0.224922i | −0.186601 | − | 0.982436i | \(-0.559747\pi\) |
−0.652819 | + | 0.757514i | \(0.726414\pi\) | |||||||
\(480\) | −1.06089 | + | 5.96557i | −0.0484227 | + | 0.272290i | ||||
\(481\) | 12.6625 | − | 15.5327i | 0.577360 | − | 0.708232i | ||||
\(482\) | 10.1305i | 0.461432i | ||||||||
\(483\) | −0.0535293 | + | 0.867093i | −0.00243567 | + | 0.0394541i | ||||
\(484\) | −23.8119 | −1.08236 | ||||||||
\(485\) | 0.968639 | − | 1.67773i | 0.0439836 | − | 0.0761819i | ||||
\(486\) | −7.61218 | − | 5.41348i | −0.345296 | − | 0.245560i | ||||
\(487\) | −40.6366 | − | 10.8885i | −1.84142 | − | 0.493407i | −0.842450 | − | 0.538774i | \(-0.818888\pi\) |
−0.998970 | + | 0.0453670i | \(0.985554\pi\) | |||||||
\(488\) | −3.78280 | − | 14.1176i | −0.171239 | − | 0.639074i | ||||
\(489\) | −28.0756 | + | 2.41494i | −1.26962 | + | 0.109207i | ||||
\(490\) | −0.599706 | − | 2.57662i | −0.0270920 | − | 0.116400i | ||||
\(491\) | 30.4714 | 1.37516 | 0.687578 | − | 0.726110i | \(-0.258674\pi\) | ||||
0.687578 | + | 0.726110i | \(0.258674\pi\) | |||||||
\(492\) | −4.64468 | − | 2.17412i | −0.209398 | − | 0.0980171i | ||||
\(493\) | −15.2810 | + | 8.82249i | −0.688221 | + | 0.397345i | ||||
\(494\) | −6.44934 | − | 2.89674i | −0.290170 | − | 0.130330i | ||||
\(495\) | 8.97082 | + | 3.29486i | 0.403209 | + | 0.148093i | ||||
\(496\) | 6.73473 | − | 6.73473i | 0.302399 | − | 0.302399i | ||||
\(497\) | −22.1574 | − | 3.29123i | −0.993896 | − | 0.147632i | ||||
\(498\) | 6.83574 | + | 5.75292i | 0.306317 | + | 0.257795i | ||||
\(499\) | 4.69363 | + | 17.5169i | 0.210116 | + | 0.784162i | 0.987829 | + | 0.155543i | \(0.0497128\pi\) |
−0.777713 | + | 0.628619i | \(0.783621\pi\) | |||||||
\(500\) | 2.57209 | − | 9.59917i | 0.115027 | − | 0.429288i | ||||
\(501\) | −0.0687063 | + | 0.0479591i | −0.00306957 | + | 0.00214265i | ||||
\(502\) | −14.2855 | + | 3.82779i | −0.637593 | + | 0.170843i | ||||
\(503\) | − | 43.5885i | − | 1.94351i | −0.235984 | − | 0.971757i | \(-0.575831\pi\) | ||
0.235984 | − | 0.971757i | \(-0.424169\pi\) | |||||||
\(504\) | −8.29374 | + | 15.2014i | −0.369433 | + | 0.677126i | ||||
\(505\) | 0.780869 | + | 0.780869i | 0.0347482 | + | 0.0347482i | ||||
\(506\) | 0.286879 | − | 0.496889i | 0.0127533 | − | 0.0220894i | ||||
\(507\) | −10.7297 | + | 19.7958i | −0.476522 | + | 0.879162i | ||||
\(508\) | 14.8218 | + | 25.6722i | 0.657613 | + | 1.13902i | ||||
\(509\) | 13.1548 | − | 3.52481i | 0.583075 | − | 0.156234i | 0.0447884 | − | 0.998996i | \(-0.485739\pi\) |
0.538286 | + | 0.842762i | \(0.319072\pi\) | |||||||
\(510\) | −1.40448 | − | 1.18200i | −0.0621915 | − | 0.0523400i | ||||
\(511\) | −1.80376 | − | 4.56714i | −0.0797935 | − | 0.202038i | ||||
\(512\) | −13.8367 | − | 13.8367i | −0.611502 | − | 0.611502i | ||||
\(513\) | −4.47294 | + | 16.4050i | −0.197485 | + | 0.724300i | ||||
\(514\) | 0.724444 | − | 2.70366i | 0.0319539 | − | 0.119253i | ||||
\(515\) | −10.0849 | − | 2.70225i | −0.444395 | − | 0.119075i | ||||
\(516\) | 1.08416 | + | 2.99232i | 0.0477276 | + | 0.131730i | ||||
\(517\) | − | 62.4376i | − | 2.74600i | ||||||
\(518\) | 3.50643 | − | 8.08397i | 0.154064 | − | 0.355189i | ||||
\(519\) | 13.5706 | − | 16.1249i | 0.595685 | − | 0.707805i | ||||
\(520\) | 0.502456 | + | 4.93576i | 0.0220341 | + | 0.216447i | ||||
\(521\) | 6.18440 | − | 3.57056i | 0.270943 | − | 0.156429i | −0.358373 | − | 0.933579i | \(-0.616668\pi\) |
0.629316 | + | 0.777149i | \(0.283335\pi\) | |||||||
\(522\) | −1.01876 | + | 11.2649i | −0.0445898 | + | 0.493052i | ||||
\(523\) | −11.9815 | + | 20.7526i | −0.523915 | + | 0.907448i | 0.475697 | + | 0.879609i | \(0.342196\pi\) |
−0.999612 | + | 0.0278389i | \(0.991137\pi\) | |||||||
\(524\) | 12.7358 | 0.556364 | ||||||||
\(525\) | 11.6504 | − | 17.5800i | 0.508463 | − | 0.767255i | ||||
\(526\) | −1.00368 | + | 1.00368i | −0.0437625 | + | 0.0437625i | ||||
\(527\) | 3.50095 | + | 13.0657i | 0.152504 | + | 0.569152i | ||||
\(528\) | −14.1647 | + | 9.88739i | −0.616439 | + | 0.430294i | ||||
\(529\) | 11.4820 | + | 19.8875i | 0.499219 | + | 0.864672i | ||||
\(530\) | −2.56176 | + | 4.43709i | −0.111276 | + | 0.192735i | ||||
\(531\) | 12.1740 | + | 8.57752i | 0.528308 | + | 0.372233i | ||||
\(532\) | 14.0530 | + | 2.08741i | 0.609276 | + | 0.0905008i | ||||
\(533\) | −6.42225 | − | 1.03872i | −0.278178 | − | 0.0449922i | ||||
\(534\) | −2.42915 | − | 6.70451i | −0.105119 | − | 0.290133i | ||||
\(535\) | 8.63136 | + | 2.31277i | 0.373166 | + | 0.0999896i | ||||
\(536\) | −15.9400 | + | 9.20299i | −0.688505 | + | 0.397508i | ||||
\(537\) | 3.13967 | + | 8.66557i | 0.135487 | + | 0.373947i | ||||
\(538\) | −8.27000 | + | 8.27000i | −0.356545 | + | 0.356545i | ||||
\(539\) | 18.6822 | − | 30.0170i | 0.804701 | − | 1.29292i | ||||
\(540\) | 5.20056 | − | 1.36906i | 0.223796 | − | 0.0589151i | ||||
\(541\) | 5.78910 | − | 1.55118i | 0.248893 | − | 0.0666906i | −0.132216 | − | 0.991221i | \(-0.542209\pi\) |
0.381108 | + | 0.924530i | \(0.375542\pi\) | |||||||
\(542\) | 7.60923 | − | 4.39319i | 0.326844 | − | 0.188704i | ||||
\(543\) | 3.36781 | − | 18.9378i | 0.144526 | − | 0.812699i | ||||
\(544\) | 15.0245 | − | 4.02579i | 0.644169 | − | 0.172604i | ||||
\(545\) | −1.46503 | −0.0627550 | ||||||||
\(546\) | −2.17999 | + | 9.65766i | −0.0932950 | + | 0.413310i | ||||
\(547\) | −6.65319 | −0.284470 | −0.142235 | − | 0.989833i | \(-0.545429\pi\) | ||||
−0.142235 | + | 0.989833i | \(0.545429\pi\) | |||||||
\(548\) | 27.9895 | − | 7.49977i | 1.19565 | − | 0.320374i | ||||
\(549\) | −15.4333 | + | 12.8734i | −0.658678 | + | 0.549422i | ||||
\(550\) | −12.0627 | + | 6.96440i | −0.514355 | + | 0.296963i | ||||
\(551\) | 19.8885 | − | 5.32912i | 0.847281 | − | 0.227028i | ||||
\(552\) | −0.0613923 | − | 0.713736i | −0.00261303 | − | 0.0303786i | ||||
\(553\) | 2.91004 | + | 25.3399i | 0.123747 | + | 1.07756i | ||||
\(554\) | 4.91318 | − | 4.91318i | 0.208741 | − | 0.208741i | ||||
\(555\) | −5.70860 | + | 2.06831i | −0.242317 | + | 0.0877950i | ||||
\(556\) | 13.0989 | − | 7.56263i | 0.555516 | − | 0.320727i | ||||
\(557\) | 14.4605 | + | 3.87469i | 0.612713 | + | 0.164176i | 0.551813 | − | 0.833968i | \(-0.313936\pi\) |
0.0609000 | + | 0.998144i | \(0.480603\pi\) | |||||||
\(558\) | 8.13929 | + | 2.98945i | 0.344564 | + | 0.126553i | ||||
\(559\) | 2.36247 | + | 3.27413i | 0.0999219 | + | 0.138481i | ||||
\(560\) | −1.21034 | − | 3.06459i | −0.0511461 | − | 0.129503i | ||||
\(561\) | −2.10247 | − | 24.4429i | −0.0887661 | − | 1.03198i | ||||
\(562\) | −3.88835 | + | 6.73483i | −0.164020 | + | 0.284091i | ||||
\(563\) | 10.6637 | + | 18.4701i | 0.449422 | + | 0.778421i | 0.998348 | − | 0.0574493i | \(-0.0182968\pi\) |
−0.548927 | + | 0.835870i | \(0.684963\pi\) | |||||||
\(564\) | −20.1103 | − | 28.8101i | −0.846796 | − | 1.21312i | ||||
\(565\) | 0.405504 | + | 1.51336i | 0.0170597 | + | 0.0636676i | ||||
\(566\) | 1.47935 | − | 1.47935i | 0.0621815 | − | 0.0621815i | ||||
\(567\) | 23.7599 | + | 1.57145i | 0.997820 | + | 0.0659948i | ||||
\(568\) | 18.4716 | 0.775052 | ||||||||
\(569\) | −18.5499 | + | 32.1294i | −0.777654 | + | 1.34694i | 0.155637 | + | 0.987814i | \(0.450257\pi\) |
−0.933291 | + | 0.359122i | \(0.883076\pi\) | |||||||
\(570\) | 1.22608 | + | 1.75648i | 0.0513547 | + | 0.0735708i | ||||
\(571\) | 14.6991 | − | 8.48652i | 0.615138 | − | 0.355150i | −0.159836 | − | 0.987144i | \(-0.551096\pi\) |
0.774974 | + | 0.631994i | \(0.217763\pi\) | |||||||
\(572\) | −18.8821 | + | 23.1621i | −0.789498 | + | 0.968457i | ||||
\(573\) | −11.1797 | − | 9.40881i | −0.467041 | − | 0.393059i | ||||
\(574\) | −2.84190 | + | 0.326364i | −0.118619 | + | 0.0136222i | ||||
\(575\) | 0.872466i | 0.0363844i | ||||||||
\(576\) | −0.647002 | + | 1.76158i | −0.0269584 | + | 0.0733990i | ||||
\(577\) | 5.20910 | + | 1.39578i | 0.216858 | + | 0.0581069i | 0.365612 | − | 0.930767i | \(-0.380860\pi\) |
−0.148754 | + | 0.988874i | \(0.547526\pi\) | |||||||
\(578\) | 1.41685 | − | 5.28775i | 0.0589332 | − | 0.219942i | ||||
\(579\) | −0.617156 | + | 1.31846i | −0.0256481 | + | 0.0547932i | ||||
\(580\) | −4.60465 | − | 4.60465i | −0.191198 | − | 0.191198i | ||||
\(581\) | −22.5285 | − | 3.34635i | −0.934640 | − | 0.138830i | ||||
\(582\) | −2.05274 | + | 2.43910i | −0.0850886 | + | 0.101104i | ||||
\(583\) | −66.1407 | + | 17.7223i | −2.73927 | + | 0.733985i | ||||
\(584\) | 2.02459 | + | 3.50669i | 0.0837780 | + | 0.145108i | ||||
\(585\) | 5.86933 | − | 3.47735i | 0.242667 | − | 0.143771i | ||||
\(586\) | 4.90259 | − | 8.49154i | 0.202524 | − | 0.350782i | ||||
\(587\) | 7.92659 | + | 7.92659i | 0.327165 | + | 0.327165i | 0.851508 | − | 0.524342i | \(-0.175689\pi\) |
−0.524342 | + | 0.851508i | \(0.675689\pi\) | |||||||
\(588\) | −1.04767 | − | 19.8678i | −0.0432051 | − | 0.819333i | ||||
\(589\) | − | 15.7844i | − | 0.650385i | ||||||
\(590\) | 1.81214 | − | 0.485562i | 0.0746047 | − | 0.0199903i | ||||
\(591\) | 10.3954 | + | 14.8924i | 0.427609 | + | 0.612593i | ||||
\(592\) | 2.84052 | − | 10.6010i | 0.116745 | − | 0.435696i | ||||
\(593\) | −3.01511 | − | 11.2525i | −0.123816 | − | 0.462087i | 0.875979 | − | 0.482349i | \(-0.160216\pi\) |
−0.999795 | + | 0.0202627i | \(0.993550\pi\) | |||||||
\(594\) | −13.5848 | − | 7.92286i | −0.557392 | − | 0.325079i | ||||
\(595\) | 4.62874 | + | 0.687546i | 0.189760 | + | 0.0281866i | ||||
\(596\) | 17.7391 | − | 17.7391i | 0.726622 | − | 0.726622i | ||||
\(597\) | −0.173273 | + | 0.0627793i | −0.00709158 | + | 0.00256939i | ||||
\(598\) | −0.145528 | − | 0.382851i | −0.00595109 | − | 0.0156560i | ||||
\(599\) | −17.5234 | + | 10.1171i | −0.715985 | + | 0.413374i | −0.813273 | − | 0.581882i | \(-0.802317\pi\) |
0.0972879 | + | 0.995256i | \(0.468983\pi\) | |||||||
\(600\) | −7.37277 | + | 15.7508i | −0.300992 | + | 0.643023i | ||||
\(601\) | −33.6018 | −1.37065 | −0.685323 | − | 0.728239i | \(-0.740339\pi\) | ||||
−0.685323 | + | 0.728239i | \(0.740339\pi\) | |||||||
\(602\) | 1.39034 | + | 1.10390i | 0.0566661 | + | 0.0449917i | ||||
\(603\) | 20.6898 | + | 14.5775i | 0.842554 | + | 0.593642i | ||||
\(604\) | 2.28124 | + | 8.51371i | 0.0928224 | + | 0.346418i | ||||
\(605\) | 8.84034 | + | 2.36876i | 0.359411 | + | 0.0963039i | ||||
\(606\) | −1.04014 | − | 1.49011i | −0.0422530 | − | 0.0605317i | ||||
\(607\) | −9.48921 | + | 16.4358i | −0.385155 | + | 0.667108i | −0.991791 | − | 0.127872i | \(-0.959185\pi\) |
0.606636 | + | 0.794980i | \(0.292519\pi\) | |||||||
\(608\) | −18.1507 | −0.736108 | ||||||||
\(609\) | −12.8509 | − | 25.8117i | −0.520745 | − | 1.04594i | ||||
\(610\) | 2.53180i | 0.102509i | ||||||||
\(611\) | −34.5463 | − | 28.1626i | −1.39760 | − | 1.13934i | ||||
\(612\) | −8.84284 | − | 10.6013i | −0.357451 | − | 0.428532i | ||||
\(613\) | −35.1615 | − | 9.42150i | −1.42016 | − | 0.380531i | −0.534620 | − | 0.845093i | \(-0.679545\pi\) |
−0.885541 | + | 0.464562i | \(0.846212\pi\) | |||||||
\(614\) | 0.897384 | + | 0.518105i | 0.0362155 | + | 0.0209090i | ||||
\(615\) | 1.50810 | + | 1.26920i | 0.0608123 | + | 0.0511793i | ||||
\(616\) | −11.6016 | + | 26.7470i | −0.467440 | + | 1.07767i | ||||
\(617\) | 0.570917 | + | 0.570917i | 0.0229843 | + | 0.0229843i | 0.718506 | − | 0.695521i | \(-0.244826\pi\) |
−0.695521 | + | 0.718506i | \(0.744826\pi\) | |||||||
\(618\) | 15.5606 | + | 7.28373i | 0.625938 | + | 0.292995i | ||||
\(619\) | −5.28324 | + | 19.7173i | −0.212351 | + | 0.792507i | 0.774731 | + | 0.632291i | \(0.217885\pi\) |
−0.987082 | + | 0.160215i | \(0.948781\pi\) | |||||||
\(620\) | −4.32325 | + | 2.49603i | −0.173626 | + | 0.100243i | ||||
\(621\) | −0.855242 | + | 0.488784i | −0.0343197 | + | 0.0196142i | ||||
\(622\) | −12.3271 | − | 12.3271i | −0.494273 | − | 0.494273i | ||||
\(623\) | 14.2367 | + | 11.3036i | 0.570381 | + | 0.452871i | ||||
\(624\) | −0.918387 | + | 12.2970i | −0.0367649 | + | 0.492273i | ||||
\(625\) | 9.59572 | − | 16.6203i | 0.383829 | − | 0.664811i | ||||
\(626\) | 1.20042 | − | 4.48001i | 0.0479782 | − | 0.179057i | ||||
\(627\) | −5.01243 | + | 28.1858i | −0.200177 | + | 1.12563i | ||||
\(628\) | −12.5637 | − | 7.25366i | −0.501347 | − | 0.289453i | ||||
\(629\) | 11.0215 | + | 11.0215i | 0.439456 | + | 0.439456i | ||||
\(630\) | 2.06927 | − | 2.17170i | 0.0824418 | − | 0.0865228i | ||||
\(631\) | 11.9196 | + | 11.9196i | 0.474513 | + | 0.474513i | 0.903371 | − | 0.428859i | \(-0.141084\pi\) |
−0.428859 | + | 0.903371i | \(0.641084\pi\) | |||||||
\(632\) | −5.44370 | − | 20.3161i | −0.216539 | − | 0.808133i | ||||
\(633\) | 32.8890 | + | 5.84881i | 1.30722 | + | 0.232469i | ||||
\(634\) | −1.20044 | + | 0.693076i | −0.0476757 | + | 0.0275256i | ||||
\(635\) | −2.94890 | − | 11.0054i | −0.117024 | − | 0.436738i | ||||
\(636\) | −24.8106 | + | 29.4805i | −0.983805 | + | 1.16898i | ||||
\(637\) | −8.18153 | − | 23.8760i | −0.324164 | − | 0.946001i | ||||
\(638\) | 19.0432i | 0.753927i | ||||||||
\(639\) | −10.6671 | − | 23.0513i | −0.421982 | − | 0.911897i | ||||
\(640\) | 3.61647 | + | 6.26390i | 0.142953 | + | 0.247603i | ||||
\(641\) | −0.831244 | − | 1.43976i | −0.0328322 | − | 0.0568670i | 0.849142 | − | 0.528164i | \(-0.177119\pi\) |
−0.881975 | + | 0.471297i | \(0.843786\pi\) | |||||||
\(642\) | −13.3178 | − | 6.23391i | −0.525611 | − | 0.246033i | ||||
\(643\) | 19.7206 | − | 19.7206i | 0.777706 | − | 0.777706i | −0.201734 | − | 0.979440i | \(-0.564658\pi\) |
0.979440 | + | 0.201734i | \(0.0646577\pi\) | |||||||
\(644\) | 0.490157 | + | 0.661174i | 0.0193149 | + | 0.0260539i | ||||
\(645\) | −0.104833 | − | 1.21877i | −0.00412780 | − | 0.0479891i | ||||
\(646\) | 2.74946 | − | 4.76220i | 0.108176 | − | 0.187366i | ||||
\(647\) | −7.28323 | − | 12.6149i | −0.286333 | − | 0.495944i | 0.686598 | − | 0.727037i | \(-0.259103\pi\) |
−0.972932 | + | 0.231093i | \(0.925770\pi\) | |||||||
\(648\) | −19.5703 | + | 1.59689i | −0.768794 | + | 0.0627319i | ||||
\(649\) | 21.7138 | + | 12.5365i | 0.852342 | + | 0.492100i | ||||
\(650\) | −1.58755 | + | 9.81552i | −0.0622687 | + | 0.384996i | ||||
\(651\) | −21.6628 | + | 4.39450i | −0.849032 | + | 0.172234i | ||||
\(652\) | −18.8776 | + | 18.8776i | −0.739305 | + | 0.739305i | ||||
\(653\) | −2.58378 | − | 1.49174i | −0.101111 | − | 0.0583765i | 0.448592 | − | 0.893737i | \(-0.351926\pi\) |
−0.549703 | + | 0.835360i | \(0.685259\pi\) | |||||||
\(654\) | 2.37358 | + | 0.422106i | 0.0928143 | + | 0.0165056i | ||||
\(655\) | −4.72825 | − | 1.26693i | −0.184748 | − | 0.0495031i | ||||
\(656\) | −3.44144 | + | 0.922131i | −0.134366 | + | 0.0360032i | ||||
\(657\) | 3.20694 | − | 4.55160i | 0.125115 | − | 0.177575i | ||||
\(658\) | −17.9796 | − | 7.79866i | −0.700916 | − | 0.304023i | ||||
\(659\) | − | 23.3405i | − | 0.909217i | −0.890691 | − | 0.454609i | \(-0.849779\pi\) | ||
0.890691 | − | 0.454609i | \(-0.150221\pi\) | |||||||
\(660\) | 8.51256 | − | 3.08423i | 0.331351 | − | 0.120053i | ||||
\(661\) | −3.28717 | + | 12.2679i | −0.127856 | + | 0.477165i | −0.999925 | − | 0.0122171i | \(-0.996111\pi\) |
0.872069 | + | 0.489382i | \(0.162778\pi\) | |||||||
\(662\) | 6.35500 | + | 11.0072i | 0.246994 | + | 0.427806i | ||||
\(663\) | −14.4724 | − | 9.86174i | −0.562062 | − | 0.382998i | ||||
\(664\) | 18.7810 | 0.728844 | ||||||||
\(665\) | −5.00964 | − | 2.17294i | −0.194266 | − | 0.0842629i | ||||
\(666\) | 9.84475 | − | 1.70622i | 0.381476 | − | 0.0661148i | ||||
\(667\) | 1.03301 | + | 0.596410i | 0.0399984 | + | 0.0230931i | ||||
\(668\) | −0.0205455 | + | 0.0766769i | −0.000794929 | + | 0.00296672i | ||||
\(669\) | 39.3448 | − | 27.4639i | 1.52116 | − | 1.06181i | ||||
\(670\) | 3.07974 | − | 0.825213i | 0.118981 | − | 0.0318808i | ||||
\(671\) | −23.9260 | + | 23.9260i | −0.923655 | + | 0.923655i | ||||
\(672\) | 5.05330 | + | 24.9103i | 0.194935 | + | 0.960937i | ||||
\(673\) | 22.2908i | 0.859249i | 0.903008 | + | 0.429624i | \(0.141354\pi\) | ||||
−0.903008 | + | 0.429624i | \(0.858646\pi\) | |||||||
\(674\) | −2.17438 | − | 8.11491i | −0.0837541 | − | 0.312575i | ||||
\(675\) | 23.9136 | + | 0.104904i | 0.920434 | + | 0.00403776i | ||||
\(676\) | 4.29866 | + | 20.8946i | 0.165333 | + | 0.803640i | ||||
\(677\) | 13.4234 | + | 7.75003i | 0.515905 | + | 0.297858i | 0.735258 | − | 0.677788i | \(-0.237061\pi\) |
−0.219353 | + | 0.975646i | \(0.570395\pi\) | |||||||
\(678\) | −0.220949 | − | 2.56872i | −0.00848550 | − | 0.0986510i | ||||
\(679\) | 1.19403 | − | 8.03853i | 0.0458227 | − | 0.308491i | ||||
\(680\) | −3.85877 | −0.147977 | ||||||||
\(681\) | 17.8268 | − | 38.0841i | 0.683123 | − | 1.45939i | ||||
\(682\) | 14.1011 | + | 3.77837i | 0.539958 | + | 0.144681i | ||||
\(683\) | 1.28580 | + | 0.344528i | 0.0491996 | + | 0.0131830i | 0.283335 | − | 0.959021i | \(-0.408559\pi\) |
−0.234135 | + | 0.972204i | \(0.575226\pi\) | |||||||
\(684\) | 6.76542 | + | 14.6200i | 0.258682 | + | 0.559009i | ||||
\(685\) | −11.1374 | −0.425538 | ||||||||
\(686\) | −6.31023 | − | 9.12896i | −0.240926 | − | 0.348545i | ||||
\(687\) | 23.8334 | − | 2.05004i | 0.909302 | − | 0.0782139i | ||||
\(688\) | 1.91488 | + | 1.10556i | 0.0730042 | + | 0.0421490i | ||||
\(689\) | −20.0272 | + | 44.5889i | −0.762977 | + | 1.69870i | ||||
\(690\) | −0.0217273 | + | 0.122177i | −0.000827145 | + | 0.00465119i | ||||
\(691\) | 0.779781 | + | 2.91018i | 0.0296643 | + | 0.110709i | 0.979171 | − | 0.203039i | \(-0.0650820\pi\) |
−0.949506 | + | 0.313748i | \(0.898415\pi\) | |||||||
\(692\) | − | 19.9668i | − | 0.759026i | ||||||
\(693\) | 40.0782 | − | 0.968005i | 1.52244 | − | 0.0367715i | ||||
\(694\) | 7.74218 | − | 7.74218i | 0.293889 | − | 0.293889i | ||||
\(695\) | −5.61537 | + | 1.50463i | −0.213003 | + | 0.0570740i | ||||
\(696\) | 13.6092 | + | 19.4966i | 0.515855 | + | 0.739015i | ||||
\(697\) | 1.30963 | − | 4.88759i | 0.0496056 | − | 0.185131i | ||||
\(698\) | −0.729159 | − | 0.420980i | −0.0275991 | − | 0.0159343i | ||||
\(699\) | −19.7091 | + | 23.4188i | −0.745467 | + | 0.885780i | ||||
\(700\) | −2.27959 | − | 19.8502i | −0.0861605 | − | 0.750265i | ||||
\(701\) | −3.87616 | −0.146401 | −0.0732003 | − | 0.997317i | \(-0.523321\pi\) | ||||
−0.0732003 | + | 0.997317i | \(0.523321\pi\) | |||||||
\(702\) | −10.5111 | + | 3.94277i | −0.396717 | + | 0.148810i | ||||
\(703\) | −9.09419 | − | 15.7516i | −0.342994 | − | 0.594083i | ||||
\(704\) | −0.817748 | + | 3.05188i | −0.0308200 | + | 0.115022i | ||||
\(705\) | 4.60013 | + | 12.6965i | 0.173251 | + | 0.478178i | ||||
\(706\) | − | 18.8844i | − | 0.710724i | ||||||
\(707\) | 4.24994 | + | 1.84342i | 0.159836 | + | 0.0693289i | ||||
\(708\) | 14.0571 | − | 1.20912i | 0.528296 | − | 0.0454416i | ||||
\(709\) | 13.8220 | − | 3.70360i | 0.519098 | − | 0.139092i | 0.0102484 | − | 0.999947i | \(-0.496738\pi\) |
0.508849 | + | 0.860856i | \(0.330071\pi\) | |||||||
\(710\) | −3.09072 | − | 0.828157i | −0.115993 | − | 0.0310802i | ||||
\(711\) | −22.2095 | + | 18.5256i | −0.832922 | + | 0.694764i | ||||
\(712\) | −12.9818 | − | 7.49504i | −0.486513 | − | 0.280888i | ||||
\(713\) | 0.646590 | − | 0.646590i | 0.0242150 | − | 0.0242150i | ||||
\(714\) | −7.30119 | − | 2.44757i | −0.273240 | − | 0.0915980i | ||||
\(715\) | 9.31424 | − | 6.72076i | 0.348333 | − | 0.251342i | ||||
\(716\) | 7.56213 | + | 4.36600i | 0.282610 | + | 0.163165i | ||||
\(717\) | −14.3044 | − | 20.4924i | −0.534206 | − | 0.765304i | ||||
\(718\) | −7.13629 | − | 12.3604i | −0.266324 | − | 0.461287i | ||||
\(719\) | 16.8158 | − | 29.1257i | 0.627122 | − | 1.08621i | −0.361005 | − | 0.932564i | \(-0.617566\pi\) |
0.988126 | − | 0.153643i | \(-0.0491005\pi\) | |||||||
\(720\) | 2.15189 | − | 3.05416i | 0.0801961 | − | 0.113822i | ||||
\(721\) | −43.5119 | + | 4.99691i | −1.62047 | + | 0.186094i | ||||
\(722\) | 3.51314 | − | 3.51314i | 0.130745 | − | 0.130745i | ||||
\(723\) | 12.4141 | − | 26.5209i | 0.461687 | − | 0.986323i | ||||
\(724\) | −9.11158 | − | 15.7817i | −0.338629 | − | 0.586523i | ||||
\(725\) | −14.4787 | − | 25.0778i | −0.537726 | − | 0.931368i | ||||
\(726\) | −13.6402 | − | 6.38485i | −0.506237 | − | 0.236964i | ||||
\(727\) | 45.9430i | 1.70393i | 0.523599 | + | 0.851965i | \(0.324589\pi\) | ||||
−0.523599 | + | 0.851965i | \(0.675411\pi\) | |||||||
\(728\) | 9.56606 | + | 18.4834i | 0.354542 | + | 0.685040i | ||||
\(729\) | 13.2943 | + | 23.5002i | 0.492383 | + | 0.870379i | ||||
\(730\) | −0.181541 | − | 0.677519i | −0.00671912 | − | 0.0250761i | ||||
\(731\) | −2.71955 | + | 1.57013i | −0.100586 | + | 0.0580734i | ||||
\(732\) | −3.33374 | + | 18.7462i | −0.123219 | + | 0.692881i | ||||
\(733\) | −4.49530 | − | 16.7767i | −0.166038 | − | 0.619661i | −0.997906 | − | 0.0646871i | \(-0.979395\pi\) |
0.831868 | − | 0.554973i | \(-0.187272\pi\) | |||||||
\(734\) | 7.18014 | + | 7.18014i | 0.265024 | + | 0.265024i | ||||
\(735\) | −1.58746 | + | 7.48028i | −0.0585542 | + | 0.275914i | ||||
\(736\) | −0.743522 | − | 0.743522i | −0.0274066 | − | 0.0274066i | ||||
\(737\) | 36.9027 | + | 21.3058i | 1.35933 | + | 0.784808i | ||||
\(738\) | −2.07767 | − | 2.49082i | −0.0764799 | − | 0.0916885i | ||||
\(739\) | 0.0462618 | − | 0.172651i | 0.00170177 | − | 0.00635108i | −0.965070 | − | 0.261993i | \(-0.915620\pi\) |
0.966771 | + | 0.255642i | \(0.0822869\pi\) | |||||||
\(740\) | −2.87618 | + | 4.98169i | −0.105730 | + | 0.183130i | ||||
\(741\) | 13.3342 | + | 15.4866i | 0.489843 | + | 0.568915i | ||||
\(742\) | −3.15785 | + | 21.2595i | −0.115928 | + | 0.780460i | ||||
\(743\) | −11.8499 | − | 11.8499i | −0.434731 | − | 0.434731i | 0.455503 | − | 0.890234i | \(-0.349459\pi\) |
−0.890234 | + | 0.455503i | \(0.849459\pi\) | |||||||
\(744\) | 17.1370 | − | 6.20900i | 0.628273 | − | 0.227633i | ||||
\(745\) | −8.35043 | + | 4.82112i | −0.305936 | + | 0.176632i | ||||
\(746\) | 4.16031 | − | 15.5265i | 0.152320 | − | 0.568465i | ||||
\(747\) | −10.8457 | − | 23.4374i | −0.396824 | − | 0.857530i | ||||
\(748\) | −16.4350 | − | 16.4350i | −0.600925 | − | 0.600925i | ||||
\(749\) | 37.2404 | − | 4.27669i | 1.36073 | − | 0.156267i | ||||
\(750\) | 4.04727 | − | 4.80905i | 0.147786 | − | 0.175602i | ||||
\(751\) | −8.35311 | − | 4.82267i | −0.304809 | − | 0.175982i | 0.339792 | − | 0.940501i | \(-0.389643\pi\) |
−0.644601 | + | 0.764519i | \(0.722977\pi\) | |||||||
\(752\) | −23.5776 | − | 6.31759i | −0.859786 | − | 0.230379i | ||||
\(753\) | 42.0890 | + | 7.48491i | 1.53381 | + | 0.272765i | ||||
\(754\) | 10.5365 | + | 8.58948i | 0.383716 | + | 0.312810i | ||||
\(755\) | − | 3.38771i | − | 0.123292i | ||||||
\(756\) | 18.1812 | − | 13.3553i | 0.661242 | − | 0.485727i | ||||
\(757\) | −16.1069 | −0.585414 | −0.292707 | − | 0.956202i | \(-0.594556\pi\) | ||||
−0.292707 | + | 0.956202i | \(0.594556\pi\) | |||||||
\(758\) | 0.256159 | − | 0.443680i | 0.00930410 | − | 0.0161152i | ||||
\(759\) | −1.35993 | + | 0.949271i | −0.0493622 | + | 0.0344563i | ||||
\(760\) | 4.34942 | + | 1.16542i | 0.157770 | + | 0.0422743i | ||||
\(761\) | 4.47507 | + | 16.7012i | 0.162221 | + | 0.605417i | 0.998378 | + | 0.0569274i | \(0.0181304\pi\) |
−0.836157 | + | 0.548490i | \(0.815203\pi\) | |||||||
\(762\) | 1.60678 | + | 18.6802i | 0.0582076 | + | 0.676712i | ||||
\(763\) | −5.71605 | + | 2.25751i | −0.206935 | + | 0.0817273i | ||||
\(764\) | −13.8434 | −0.500838 | ||||||||
\(765\) | 2.22838 | + | 4.81549i | 0.0805671 | + | 0.174104i | ||||
\(766\) | 16.6325 | − | 9.60278i | 0.600957 | − | 0.346963i | ||||
\(767\) | 16.7304 | − | 6.35951i | 0.604101 | − | 0.229629i | ||||
\(768\) | −3.31632 | − | 9.15313i | −0.119667 | − | 0.330285i | ||||
\(769\) | −15.1816 | + | 15.1816i | −0.547462 | + | 0.547462i | −0.925706 | − | 0.378244i | \(-0.876528\pi\) |
0.378244 | + | 0.925706i | \(0.376528\pi\) | |||||||
\(770\) | 3.14038 | − | 3.95525i | 0.113172 | − | 0.142537i | ||||
\(771\) | −5.20967 | + | 6.19024i | −0.187622 | + | 0.222936i | ||||
\(772\) | 0.356957 | + | 1.33218i | 0.0128472 | + | 0.0479463i | ||||
\(773\) | −0.152295 | + | 0.568374i | −0.00547769 | + | 0.0204430i | −0.968611 | − | 0.248583i | \(-0.920035\pi\) |
0.963133 | + | 0.269026i | \(0.0867018\pi\) | |||||||
\(774\) | −0.181307 | + | 2.00481i | −0.00651696 | + | 0.0720613i | ||||
\(775\) | −21.4423 | + | 5.74546i | −0.770232 | + | 0.206383i | ||||
\(776\) | 6.70136i | 0.240565i | ||||||||
\(777\) | −19.0859 | + | 16.8664i | −0.684702 | + | 0.605078i | ||||
\(778\) | 11.5397 | + | 11.5397i | 0.413718 | + | 0.413718i | ||||
\(779\) | −2.95229 | + | 5.11352i | −0.105777 | + | 0.183211i | ||||
\(780\) | 2.13312 | − | 6.10109i | 0.0763781 | − | 0.218454i | ||||
\(781\) | −21.3818 | − | 37.0343i | −0.765100 | − | 1.32519i | ||||
\(782\) | 0.307706 | − | 0.0824496i | 0.0110035 | − | 0.00294839i | ||||
\(783\) | 16.4713 | − | 28.2423i | 0.588636 | − | 1.00930i | ||||
\(784\) | −9.44463 | − | 10.0919i | −0.337308 | − | 0.360426i | ||||
\(785\) | 3.94279 | + | 3.94279i | 0.140724 | + | 0.140724i | ||||
\(786\) | 7.29547 | + | 3.41493i | 0.260221 | + | 0.121807i | ||||
\(787\) | 7.70336 | − | 28.7493i | 0.274595 | − | 1.02480i | −0.681517 | − | 0.731802i | \(-0.738679\pi\) |
0.956112 | − | 0.293001i | \(-0.0946539\pi\) | |||||||
\(788\) | 16.6201 | + | 4.45335i | 0.592067 | + | 0.158644i | ||||
\(789\) | 3.85749 | − | 1.39763i | 0.137330 | − | 0.0497569i | ||||
\(790\) | 3.64342i | 0.129627i | ||||||||
\(791\) | 3.91412 | + | 5.27977i | 0.139170 | + | 0.187727i | ||||
\(792\) | −32.5728 | + | 5.64530i | −1.15742 | + | 0.200597i | ||||
\(793\) | 2.44623 | + | 24.0300i | 0.0868683 | + | 0.853331i | ||||
\(794\) | 14.9090 | − | 8.60773i | 0.529102 | − | 0.305477i | ||||
\(795\) | 12.1438 | − | 8.47674i | 0.430696 | − | 0.300639i | ||||
\(796\) | −0.0873004 | + | 0.151209i | −0.00309428 | + | 0.00535945i | ||||
\(797\) | 7.91239 | 0.280271 | 0.140136 | − | 0.990132i | \(-0.455246\pi\) | ||||
0.140136 | + | 0.990132i | \(0.455246\pi\) | |||||||
\(798\) | 7.49033 | + | 4.96388i | 0.265155 | + | 0.175719i | ||||
\(799\) | 24.5129 | − | 24.5129i | 0.867204 | − | 0.867204i | ||||
\(800\) | 6.60678 | + | 24.6569i | 0.233585 | + | 0.871751i | ||||
\(801\) | −1.85654 | + | 20.5286i | −0.0655974 | + | 0.725344i | ||||
\(802\) | 1.09328 | + | 1.89361i | 0.0386049 | + | 0.0668657i | ||||
\(803\) | 4.68711 | − | 8.11831i | 0.165405 | − | 0.286489i | ||||
\(804\) | 23.8900 | − | 2.05491i | 0.842535 | − | 0.0724710i | ||||
\(805\) | −0.116202 | − | 0.294226i | −0.00409559 | − | 0.0103701i | ||||
\(806\) | 8.45088 | − | 6.09780i | 0.297669 | − | 0.214786i | ||||
\(807\) | 31.7845 | − | 11.5160i | 1.11887 | − | 0.405383i | ||||
\(808\) | −3.68984 | − | 0.988690i | −0.129808 | − | 0.0347820i | ||||
\(809\) | 24.2075 | − | 13.9762i | 0.851092 | − | 0.491378i | −0.00992729 | − | 0.999951i | \(-0.503160\pi\) |
0.861019 | + | 0.508573i | \(0.169827\pi\) | |||||||
\(810\) | 3.34615 | + | 0.610218i | 0.117572 | + | 0.0214409i | ||||
\(811\) | −0.497728 | + | 0.497728i | −0.0174776 | + | 0.0174776i | −0.715792 | − | 0.698314i | \(-0.753934\pi\) |
0.698314 | + | 0.715792i | \(0.253934\pi\) | |||||||
\(812\) | −25.0612 | − | 10.8703i | −0.879475 | − | 0.381473i | ||||
\(813\) | −25.3039 | + | 2.17653i | −0.887447 | + | 0.0763341i | ||||
\(814\) | 16.2487 | − | 4.35382i | 0.569516 | − | 0.152601i | ||||
\(815\) | 8.88638 | − | 5.13056i | 0.311276 | − | 0.179716i | ||||
\(816\) | −9.44281 | − | 1.67926i | −0.330565 | − | 0.0587860i | ||||
\(817\) | 3.53955 | − | 0.948419i | 0.123833 | − | 0.0331810i | ||||
\(818\) | −4.28499 | −0.149821 | ||||||||
\(819\) | 17.5418 | − | 22.6116i | 0.612959 | − | 0.790115i | ||||
\(820\) | 1.86742 | 0.0652130 | ||||||||
\(821\) | 5.61229 | − | 1.50381i | 0.195870 | − | 0.0524833i | −0.159550 | − | 0.987190i | \(-0.551004\pi\) |
0.355420 | + | 0.934707i | \(0.384338\pi\) | |||||||
\(822\) | 18.0443 | + | 3.20891i | 0.629368 | + | 0.111924i | ||||
\(823\) | −2.46135 | + | 1.42106i | −0.0857972 | + | 0.0495350i | −0.542285 | − | 0.840195i | \(-0.682441\pi\) |
0.456488 | + | 0.889730i | \(0.349107\pi\) | |||||||
\(824\) | 34.8854 | − | 9.34751i | 1.21529 | − | 0.325636i | ||||
\(825\) | 40.1136 | − | 3.45038i | 1.39658 | − | 0.120127i | ||||
\(826\) | 6.32214 | − | 4.68688i | 0.219975 | − | 0.163077i | ||||
\(827\) | −20.8528 | + | 20.8528i | −0.725124 | + | 0.725124i | −0.969644 | − | 0.244520i | \(-0.921370\pi\) |
0.244520 | + | 0.969644i | \(0.421370\pi\) | |||||||
\(828\) | −0.321752 | + | 0.876028i | −0.0111817 | + | 0.0304441i | ||||
\(829\) | 44.3746 | − | 25.6197i | 1.54120 | − | 0.889809i | 0.542431 | − | 0.840100i | \(-0.317504\pi\) |
0.998764 | − | 0.0497092i | \(-0.0158295\pi\) | |||||||
\(830\) | −3.14249 | − | 0.842027i | −0.109077 | − | 0.0292272i | ||||
\(831\) | −18.8831 | + | 6.84162i | −0.655046 | + | 0.237333i | ||||
\(832\) | 1.31974 | + | 1.82901i | 0.0457537 | + | 0.0634096i | ||||
\(833\) | 19.1192 | − | 4.44999i | 0.662442 | − | 0.154183i | ||||
\(834\) | 9.53130 | − | 0.819838i | 0.330042 | − | 0.0283887i | ||||
\(835\) | 0.0152554 | − | 0.0264231i | 0.000527933 | − | 0.000914407i | ||||
\(836\) | 13.5611 | + | 23.4885i | 0.469020 | + | 0.812366i | ||||
\(837\) | −17.6447 | − | 17.8002i | −0.609891 | − | 0.615266i | ||||
\(838\) | −0.165642 | − | 0.618183i | −0.00572199 | − | 0.0213548i | ||||
\(839\) | −14.0797 | + | 14.0797i | −0.486086 | + | 0.486086i | −0.907069 | − | 0.420983i | \(-0.861685\pi\) |
0.420983 | + | 0.907069i | \(0.361685\pi\) | |||||||
\(840\) | 0.388536 | − | 6.29368i | 0.0134058 | − | 0.217153i | ||||
\(841\) | −10.5900 | −0.365173 | ||||||||
\(842\) | 5.57182 | − | 9.65068i | 0.192018 | − | 0.332584i | ||||
\(843\) | 18.4324 | − | 12.8664i | 0.634847 | − | 0.443142i | ||||
\(844\) | 27.4078 | − | 15.8239i | 0.943416 | − | 0.544681i | ||||
\(845\) | 0.482653 | − | 8.18492i | 0.0166038 | − | 0.281570i | ||||
\(846\) | −3.79481 | − | 21.8957i | −0.130468 | − | 0.752789i | ||||
\(847\) | 38.1421 | − | 4.38024i | 1.31058 | − | 0.150507i | ||||
\(848\) | 26.7691i | 0.919255i | ||||||||
\(849\) | −5.68564 | + | 2.05999i | −0.195131 | + | 0.0706988i | ||||
\(850\) | −7.47000 | − | 2.00158i | −0.256219 | − | 0.0686537i | ||||
\(851\) | 0.272713 | − | 1.01778i | 0.00934848 | − | 0.0348890i | ||||
\(852\) | −21.7943 | − | 10.2017i | −0.746659 | − | 0.349503i | ||||
\(853\) | 24.4412 | + | 24.4412i | 0.836852 | + | 0.836852i | 0.988443 | − | 0.151592i | \(-0.0484399\pi\) |
−0.151592 | + | 0.988443i | \(0.548440\pi\) | |||||||
\(854\) | 3.90131 | + | 9.87819i | 0.133500 | + | 0.338025i | ||||
\(855\) | −1.05735 | − | 6.10079i | −0.0361605 | − | 0.208643i | ||||
\(856\) | −29.8573 | + | 8.00023i | −1.02050 | + | 0.273442i | ||||
\(857\) | −5.14536 | − | 8.91203i | −0.175762 | − | 0.304429i | 0.764663 | − | 0.644431i | \(-0.222906\pi\) |
−0.940425 | + | 0.340002i | \(0.889572\pi\) | |||||||
\(858\) | −17.0269 | + | 8.20506i | −0.581289 | + | 0.280116i | ||||
\(859\) | −11.4540 | + | 19.8389i | −0.390805 | + | 0.676894i | −0.992556 | − | 0.121790i | \(-0.961137\pi\) |
0.601751 | + | 0.798684i | \(0.294470\pi\) | |||||||
\(860\) | −0.819485 | − | 0.819485i | −0.0279442 | − | 0.0279442i | ||||
\(861\) | 7.83982 | + | 2.62813i | 0.267180 | + | 0.0895665i | ||||
\(862\) | 10.5821i | 0.360427i | ||||||||
\(863\) | 15.4623 | − | 4.14311i | 0.526343 | − | 0.141033i | 0.0141440 | − | 0.999900i | \(-0.495498\pi\) |
0.512199 | + | 0.858867i | \(0.328831\pi\) | |||||||
\(864\) | −20.4687 | + | 20.2899i | −0.696360 | + | 0.690277i | ||||
\(865\) | −1.98627 | + | 7.41285i | −0.0675351 | + | 0.252044i | ||||
\(866\) | 3.50487 | + | 13.0804i | 0.119100 | + | 0.444489i | ||||
\(867\) | −10.1889 | + | 12.1067i | −0.346035 | + | 0.411165i | ||||
\(868\) | −13.0216 | + | 16.4005i | −0.441983 | + | 0.556669i | ||||
\(869\) | −34.4311 | + | 34.4311i | −1.16800 | + | 1.16800i | ||||
\(870\) | −1.40302 | − | 3.87237i | −0.0475668 | − | 0.131286i | ||||
\(871\) | 28.4334 | − | 10.8080i | 0.963429 | − | 0.366215i | ||||
\(872\) | 4.38883 | − | 2.53389i | 0.148624 | − | 0.0858084i | ||||
\(873\) | 8.36284 | − | 3.86992i | 0.283039 | − | 0.130977i | ||||
\(874\) | −0.371733 | −0.0125740 | ||||||||
\(875\) | −2.35421 | + | 15.8492i | −0.0795868 | + | 0.535800i | ||||
\(876\) | −0.452064 | − | 5.25562i | −0.0152738 | − | 0.177571i | ||||
\(877\) | 7.08345 | + | 26.4358i | 0.239191 | + | 0.892673i | 0.976215 | + | 0.216806i | \(0.0695640\pi\) |
−0.737024 | + | 0.675867i | \(0.763769\pi\) | |||||||
\(878\) | −4.72982 | − | 1.26735i | −0.159624 | − | 0.0427710i | ||||
\(879\) | −23.2403 | + | 16.2225i | −0.783877 | + | 0.547170i | ||||
\(880\) | 3.14509 | − | 5.44746i | 0.106021 | − | 0.183634i | ||||
\(881\) | 55.4617 | 1.86855 | 0.934276 | − | 0.356552i | \(-0.116048\pi\) | ||||
0.934276 | + | 0.356552i | \(0.116048\pi\) | |||||||
\(882\) | 4.72715 | − | 11.6618i | 0.159171 | − | 0.392675i | ||||
\(883\) | 42.8192i | 1.44098i | 0.693465 | + | 0.720490i | \(0.256083\pi\) | ||||
−0.693465 | + | 0.720490i | \(0.743917\pi\) | |||||||
\(884\) | −16.5065 | + | 1.68034i | −0.555173 | + | 0.0565160i | ||||
\(885\) | −5.33907 | − | 0.949474i | −0.179471 | − | 0.0319162i | ||||
\(886\) | 10.4254 | + | 2.79348i | 0.350249 | + | 0.0938489i | ||||
\(887\) | −47.3202 | − | 27.3203i | −1.58886 | − | 0.917326i | −0.993496 | − | 0.113867i | \(-0.963676\pi\) |
−0.595360 | − | 0.803459i | \(-0.702991\pi\) | |||||||
\(888\) | 13.5241 | − | 16.0696i | 0.453838 | − | 0.539260i | ||||
\(889\) | −28.4642 | − | 38.3954i | −0.954659 | − | 1.28774i | ||||
\(890\) | 1.83612 | + | 1.83612i | 0.0615467 | + | 0.0615467i | ||||
\(891\) | 25.8552 | + | 37.3886i | 0.866182 | + | 1.25257i | ||||
\(892\) | 11.7654 | − | 43.9092i | 0.393936 | − | 1.47019i | ||||
\(893\) | −35.0331 | + | 20.2264i | −1.17234 | + | 0.676850i | ||||
\(894\) | 14.9181 | − | 5.40504i | 0.498935 | − | 0.180772i | ||||
\(895\) | −2.37318 | − | 2.37318i | −0.0793266 | − | 0.0793266i | ||||
\(896\) | 23.7624 | + | 18.8669i | 0.793847 | + | 0.630298i | ||||
\(897\) | −0.0881727 | + | 1.18061i | −0.00294400 | + | 0.0394194i | ||||
\(898\) | 0.754984 | − | 1.30767i | 0.0251942 | − | 0.0436376i | ||||
\(899\) | −7.85509 | + | 29.3156i | −0.261982 | + | 0.977729i | ||||
\(900\) | 17.3979 | − | 14.5121i | 0.579931 | − | 0.483737i | ||||
\(901\) | −32.9245 | − | 19.0090i | −1.09687 | − | 0.633280i | ||||
\(902\) | −3.86149 | − | 3.86149i | −0.128573 | − | 0.128573i | ||||
\(903\) | −2.28706 | − | 4.59369i | −0.0761087 | − | 0.152868i | ||||
\(904\) | −3.83226 | − | 3.83226i | −0.127459 | − | 0.127459i | ||||
\(905\) | 1.81281 | + | 6.76549i | 0.0602597 | + | 0.224892i | ||||
\(906\) | −0.976070 | + | 5.48863i | −0.0324278 | + | 0.182347i | ||||
\(907\) | −39.4627 | + | 22.7838i | −1.31034 | + | 0.756523i | −0.982152 | − | 0.188091i | \(-0.939770\pi\) |
−0.328184 | + | 0.944614i | \(0.606437\pi\) | |||||||
\(908\) | −10.3108 | − | 38.4806i | −0.342177 | − | 1.27702i | ||||
\(909\) | 0.897003 | + | 5.17562i | 0.0297517 | + | 0.171665i | ||||
\(910\) | −0.771936 | − | 3.52158i | −0.0255894 | − | 0.116739i | ||||
\(911\) | − | 1.23590i | − | 0.0409473i | −0.999790 | − | 0.0204737i | \(-0.993483\pi\) | ||
0.999790 | − | 0.0204737i | \(-0.00651742\pi\) | |||||||
\(912\) | 10.1363 | + | 4.74469i | 0.335647 | + | 0.157113i | ||||
\(913\) | −21.7399 | − | 37.6546i | −0.719485 | − | 1.24618i | ||||
\(914\) | 0.664547 | + | 1.15103i | 0.0219813 | + | 0.0380727i | ||||
\(915\) | 3.10252 | − | 6.62805i | 0.102566 | − | 0.219117i | ||||
\(916\) | 16.0252 | − | 16.0252i | 0.529489 | − | 0.529489i | ||||
\(917\) | −20.4003 | + | 2.34277i | −0.673676 | + | 0.0773650i | ||||
\(918\) | −2.22288 | − | 8.44388i | −0.0733658 | − | 0.278690i | ||||
\(919\) | 1.23203 | − | 2.13394i | 0.0406410 | − | 0.0703922i | −0.844989 | − | 0.534783i | \(-0.820393\pi\) |
0.885630 | + | 0.464391i | \(0.153727\pi\) | |||||||
\(920\) | 0.130429 | + | 0.225909i | 0.00430011 | + | 0.00744800i | ||||
\(921\) | −1.71439 | − | 2.45604i | −0.0564910 | − | 0.0809291i | ||||
\(922\) | −3.38045 | − | 1.95171i | −0.111329 | − | 0.0642760i | ||||
\(923\) | −30.1351 | − | 4.87401i | −0.991910 | − | 0.160430i | ||||
\(924\) | 28.4605 | − | 25.1508i | 0.936281 | − | 0.827402i | ||||
\(925\) | −18.0875 | + | 18.0875i | −0.594714 | + | 0.594714i | ||||
\(926\) | −7.78239 | − | 4.49317i | −0.255745 | − | 0.147655i | ||||
\(927\) | −31.8108 | − | 38.1366i | −1.04480 | − | 1.25257i | ||||
\(928\) | 33.7104 | + | 9.03267i | 1.10660 | + | 0.296512i | ||||
\(929\) | 2.48236 | − | 0.665147i | 0.0814436 | − | 0.0218228i | −0.217867 | − | 0.975978i | \(-0.569910\pi\) |
0.299311 | + | 0.954156i | \(0.403243\pi\) | |||||||
\(930\) | −3.14579 | + | 0.270586i | −0.103154 | + | 0.00887286i | ||||
\(931\) | −22.8942 | − | 0.758557i | −0.750328 | − | 0.0248607i | ||||
\(932\) | 28.9986i | 0.949880i | ||||||||
\(933\) | 17.1656 | + | 47.3775i | 0.561976 | + | 1.55107i | ||||
\(934\) | −6.63955 | + | 24.7791i | −0.217253 | + | 0.810798i | ||||
\(935\) | 4.46671 | + | 7.73657i | 0.146077 | + | 0.253013i | ||||
\(936\) | −11.5685 | + | 20.5687i | −0.378129 | + | 0.672308i | ||||
\(937\) | −1.32480 | −0.0432793 | −0.0216397 | − | 0.999766i | \(-0.506889\pi\) | ||||
−0.0216397 | + | 0.999766i | \(0.506889\pi\) | |||||||
\(938\) | 10.7445 | − | 7.96535i | 0.350820 | − | 0.260078i | ||||
\(939\) | −8.63250 | + | 10.2573i | −0.281711 | + | 0.334735i | ||||
\(940\) | 11.0798 | + | 6.39691i | 0.361382 | + | 0.208644i | ||||
\(941\) | 11.9436 | − | 44.5740i | 0.389349 | − | 1.45307i | −0.441848 | − | 0.897090i | \(-0.645677\pi\) |
0.831196 | − | 0.555979i | \(-0.187657\pi\) | |||||||
\(942\) | −5.25194 | − | 7.52394i | −0.171118 | − | 0.245143i | ||||
\(943\) | −0.330406 | + | 0.0885322i | −0.0107595 | + | 0.00288300i | ||||
\(944\) | 6.93106 | − | 6.93106i | 0.225587 | − | 0.225587i | ||||
\(945\) | −8.07846 | + | 3.14963i | −0.262792 | + | 0.102457i | ||||
\(946\) | 3.38910i | 0.110189i | ||||||||
\(947\) | −12.6034 | − | 47.0367i | −0.409557 | − | 1.52849i | −0.795494 | − | 0.605962i | \(-0.792788\pi\) |
0.385937 | − | 0.922525i | \(-0.373878\pi\) | |||||||
\(948\) | −4.79747 | + | 26.9770i | −0.155814 | + | 0.876174i | ||||
\(949\) | −2.37768 | − | 6.25513i | −0.0771828 | − | 0.203050i | ||||
\(950\) | 7.81531 | + | 4.51217i | 0.253562 | + | 0.146394i | ||||
\(951\) | 3.99198 | − | 0.343372i | 0.129449 | − | 0.0111346i | ||||
\(952\) | −15.0556 | + | 5.94609i | −0.487955 | + | 0.192714i | ||||
\(953\) | −32.5663 | −1.05493 | −0.527463 | − | 0.849578i | \(-0.676857\pi\) | ||||
−0.527463 | + | 0.849578i | \(0.676857\pi\) | |||||||
\(954\) | −22.1172 | + | 10.2348i | −0.716070 | + | 0.331363i | ||||
\(955\) | 5.13949 | + | 1.37712i | 0.166310 | + | 0.0445626i | ||||
\(956\) | −22.8698 | − | 6.12794i | −0.739661 | − | 0.198192i | ||||
\(957\) | 23.3360 | − | 49.8537i | 0.754344 | − | 1.61154i | ||||
\(958\) | −11.3969 | −0.368216 | ||||||||
\(959\) | −43.4543 | + | 17.1619i | −1.40321 | + | 0.554187i | ||||
\(960\) | −0.0585626 | − | 0.680838i | −0.00189010 | − | 0.0219740i | ||||
\(961\) | −6.69775 | − | 3.86695i | −0.216057 | − | 0.124740i | ||||
\(962\) | 4.92006 | − | 10.9541i | 0.158629 | − | 0.353174i | ||||
\(963\) | 27.2258 | + | 32.6398i | 0.877340 | + | 1.05180i | ||||
\(964\) | −7.18023 | − | 26.7970i | −0.231259 | − | 0.863072i | ||||
\(965\) | − | 0.530093i | − | 0.0170643i | ||||||
\(966\) | 0.103493 | + | 0.510172i | 0.00332984 | + | 0.0164145i | ||||
\(967\) | 2.34218 | − | 2.34218i | 0.0753193 | − | 0.0753193i | −0.668444 | − | 0.743763i | \(-0.733039\pi\) |
0.743763 | + | 0.668444i | \(0.233039\pi\) | |||||||
\(968\) | −30.5802 | + | 8.19393i | −0.982884 | + | 0.263363i | ||||
\(969\) | −13.0336 | + | 9.09783i | −0.418699 | + | 0.292265i | ||||
\(970\) | 0.300449 | − | 1.12129i | 0.00964683 | − | 0.0360024i | ||||
\(971\) | −42.3396 | − | 24.4448i | −1.35874 | − | 0.784471i | −0.369289 | − | 0.929315i | \(-0.620399\pi\) |
−0.989454 | + | 0.144844i | \(0.953732\pi\) | |||||||
\(972\) | 23.9725 | + | 8.92430i | 0.768918 | + | 0.286247i | ||||
\(973\) | −19.5907 | + | 14.5235i | −0.628050 | + | 0.465601i | ||||
\(974\) | −25.2090 | −0.807749 | ||||||||
\(975\) | 16.1842 | − | 23.7509i | 0.518310 | − | 0.760637i | ||||
\(976\) | 6.61401 | + | 11.4558i | 0.211709 | + | 0.366691i | ||||
\(977\) | 7.05602 | − | 26.3334i | 0.225742 | − | 0.842481i | −0.756364 | − | 0.654151i | \(-0.773026\pi\) |
0.982106 | − | 0.188330i | \(-0.0603074\pi\) | |||||||
\(978\) | −15.8755 | + | 5.75195i | −0.507644 | + | 0.183927i | ||||
\(979\) | 34.7034i | 1.10913i | ||||||||
\(980\) | 3.41257 | + | 6.39055i | 0.109010 | + | 0.204139i | ||||
\(981\) | −5.69660 | − | 4.01368i | −0.181878 | − | 0.128147i | ||||
\(982\) | 17.6368 | − | 4.72576i | 0.562812 | − | 0.150805i | ||||
\(983\) | 16.5729 | + | 4.44069i | 0.528592 | + | 0.141636i | 0.513238 | − | 0.858246i | \(-0.328446\pi\) |
0.0153541 | + | 0.999882i | \(0.495112\pi\) | |||||||
\(984\) | −6.71303 | − | 1.19381i | −0.214004 | − | 0.0380573i | ||||
\(985\) | −5.72734 | − | 3.30668i | −0.182488 | − | 0.105360i | ||||
\(986\) | −7.47633 | + | 7.47633i | −0.238095 | + | 0.238095i | ||||
\(987\) | 37.5125 | + | 42.4489i | 1.19404 | + | 1.35116i | ||||
\(988\) | 19.1128 | + | 3.09127i | 0.608059 | + | 0.0983464i | ||||
\(989\) | 0.183844 | + | 0.106143i | 0.00584591 | + | 0.00337514i | ||||
\(990\) | 5.70328 | + | 0.515783i | 0.181262 | + | 0.0163927i | ||||
\(991\) | 17.8267 | + | 30.8767i | 0.566283 | + | 0.980830i | 0.996929 | + | 0.0783096i | \(0.0249523\pi\) |
−0.430646 | + | 0.902521i | \(0.641714\pi\) | |||||||
\(992\) | 13.3770 | − | 23.1697i | 0.424720 | − | 0.735637i | ||||
\(993\) | −3.14847 | − | 36.6036i | −0.0999137 | − | 1.16158i | ||||
\(994\) | −13.3351 | + | 1.53140i | −0.422963 | + | 0.0485731i | ||||
\(995\) | 0.0474530 | − | 0.0474530i | 0.00150436 | − | 0.00150436i | ||||
\(996\) | −22.1593 | − | 10.3725i | −0.702143 | − | 0.328666i | ||||
\(997\) | −1.77915 | − | 3.08158i | −0.0563463 | − | 0.0975946i | 0.836476 | − | 0.548003i | \(-0.184612\pi\) |
−0.892823 | + | 0.450408i | \(0.851278\pi\) | |||||||
\(998\) | 5.43331 | + | 9.41077i | 0.171989 | + | 0.297893i | ||||
\(999\) | −27.8637 | − | 7.59721i | −0.881567 | − | 0.240365i |
(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 | 273.2.cd.e.44.16 | yes | 112 | |
3.2 | odd | 2 | inner | 273.2.cd.e.44.13 | ✓ | 112 | |
7.4 | even | 3 | inner | 273.2.cd.e.200.13 | yes | 112 | |
13.8 | odd | 4 | inner | 273.2.cd.e.86.16 | yes | 112 | |
21.11 | odd | 6 | inner | 273.2.cd.e.200.16 | yes | 112 | |
39.8 | even | 4 | inner | 273.2.cd.e.86.13 | yes | 112 | |
91.60 | odd | 12 | inner | 273.2.cd.e.242.13 | yes | 112 | |
273.242 | even | 12 | inner | 273.2.cd.e.242.16 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.cd.e.44.13 | ✓ | 112 | 3.2 | odd | 2 | inner | |
273.2.cd.e.44.16 | yes | 112 | 1.1 | even | 1 | trivial | |
273.2.cd.e.86.13 | yes | 112 | 39.8 | even | 4 | inner | |
273.2.cd.e.86.16 | yes | 112 | 13.8 | odd | 4 | inner | |
273.2.cd.e.200.13 | yes | 112 | 7.4 | even | 3 | inner | |
273.2.cd.e.200.16 | yes | 112 | 21.11 | odd | 6 | inner | |
273.2.cd.e.242.13 | yes | 112 | 91.60 | odd | 12 | inner | |
273.2.cd.e.242.16 | yes | 112 | 273.242 | even | 12 | inner |