Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [143,2,Mod(14,143)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(143, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("143.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 143.h (of order \(5\), 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: | \(1.14186074890\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 14.7 | ||
Character | \(\chi\) | \(=\) | 143.14 |
Dual form | 143.2.h.c.92.7 |
$q$-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 \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.91124 | − | 1.38860i | 1.35145 | − | 0.981887i | 0.352513 | − | 0.935807i | \(-0.385327\pi\) |
0.998938 | − | 0.0460799i | \(-0.0146729\pi\) | |||||||
\(3\) | 0.562838 | + | 1.73224i | 0.324955 | + | 1.00011i | 0.971461 | + | 0.237199i | \(0.0762294\pi\) |
−0.646506 | + | 0.762909i | \(0.723771\pi\) | |||||||
\(4\) | 1.10660 | − | 3.40577i | 0.553302 | − | 1.70289i | ||||
\(5\) | −1.72715 | − | 1.25485i | −0.772405 | − | 0.561185i | 0.130285 | − | 0.991477i | \(-0.458411\pi\) |
−0.902690 | + | 0.430291i | \(0.858411\pi\) | |||||||
\(6\) | 3.48110 | + | 2.52917i | 1.42115 | + | 1.03253i | ||||
\(7\) | −0.333124 | + | 1.02525i | −0.125909 | + | 0.387508i | −0.994066 | − | 0.108782i | \(-0.965305\pi\) |
0.868156 | + | 0.496291i | \(0.165305\pi\) | |||||||
\(8\) | −1.15421 | − | 3.55228i | −0.408074 | − | 1.25592i | ||||
\(9\) | −0.256810 | + | 0.186583i | −0.0856032 | + | 0.0621944i | ||||
\(10\) | −5.04348 | −1.59489 | ||||||||
\(11\) | −2.78205 | + | 1.80561i | −0.838818 | + | 0.544412i | ||||
\(12\) | 6.52245 | 1.88287 | ||||||||
\(13\) | −0.809017 | + | 0.587785i | −0.224381 | + | 0.163022i | ||||
\(14\) | 0.786980 | + | 2.42208i | 0.210329 | + | 0.647327i | ||||
\(15\) | 1.20159 | − | 3.69811i | 0.310249 | − | 0.954848i | ||||
\(16\) | −1.34441 | − | 0.976772i | −0.336103 | − | 0.244193i | ||||
\(17\) | −0.957512 | − | 0.695673i | −0.232231 | − | 0.168725i | 0.465584 | − | 0.885004i | \(-0.345844\pi\) |
−0.697815 | + | 0.716278i | \(0.745844\pi\) | |||||||
\(18\) | −0.231736 | + | 0.713210i | −0.0546207 | + | 0.168105i | ||||
\(19\) | 0.317680 | + | 0.977717i | 0.0728807 | + | 0.224304i | 0.980861 | − | 0.194709i | \(-0.0623763\pi\) |
−0.907980 | + | 0.419013i | \(0.862376\pi\) | |||||||
\(20\) | −6.18500 | + | 4.49367i | −1.38301 | + | 1.00481i | ||||
\(21\) | −1.96347 | −0.428465 | ||||||||
\(22\) | −2.80989 | + | 7.31409i | −0.599071 | + | 1.55937i | ||||
\(23\) | −5.23055 | −1.09064 | −0.545322 | − | 0.838227i | \(-0.683593\pi\) | ||||
−0.545322 | + | 0.838227i | \(0.683593\pi\) | |||||||
\(24\) | 5.50377 | − | 3.99872i | 1.12345 | − | 0.816236i | ||||
\(25\) | −0.136680 | − | 0.420658i | −0.0273360 | − | 0.0841316i | ||||
\(26\) | −0.730029 | + | 2.24680i | −0.143170 | + | 0.440633i | ||||
\(27\) | 3.95284 | + | 2.87191i | 0.760724 | + | 0.552699i | ||||
\(28\) | 3.12314 | + | 2.26909i | 0.590217 | + | 0.428818i | ||||
\(29\) | 2.18567 | − | 6.72681i | 0.405870 | − | 1.24914i | −0.514297 | − | 0.857612i | \(-0.671947\pi\) |
0.920167 | − | 0.391526i | \(-0.128053\pi\) | |||||||
\(30\) | −2.83866 | − | 8.73651i | −0.518267 | − | 1.59506i | ||||
\(31\) | −4.19129 | + | 3.04515i | −0.752777 | + | 0.546925i | −0.896687 | − | 0.442666i | \(-0.854033\pi\) |
0.143909 | + | 0.989591i | \(0.454033\pi\) | |||||||
\(32\) | 3.54435 | 0.626559 | ||||||||
\(33\) | −4.69359 | − | 3.80290i | −0.817048 | − | 0.662000i | ||||
\(34\) | −2.79605 | −0.479518 | ||||||||
\(35\) | 1.86189 | − | 1.35274i | 0.314717 | − | 0.228655i | ||||
\(36\) | 0.351274 | + | 1.08111i | 0.0585456 | + | 0.180185i | ||||
\(37\) | 3.05471 | − | 9.40142i | 0.502191 | − | 1.54558i | −0.303252 | − | 0.952910i | \(-0.598072\pi\) |
0.805443 | − | 0.592673i | \(-0.201928\pi\) | |||||||
\(38\) | 1.96482 | + | 1.42752i | 0.318736 | + | 0.231575i | ||||
\(39\) | −1.47353 | − | 1.07058i | −0.235954 | − | 0.171430i | ||||
\(40\) | −2.46409 | + | 7.58368i | −0.389607 | + | 1.19909i | ||||
\(41\) | 0.446709 | + | 1.37483i | 0.0697642 | + | 0.214712i | 0.979860 | − | 0.199686i | \(-0.0639922\pi\) |
−0.910096 | + | 0.414398i | \(0.863992\pi\) | |||||||
\(42\) | −3.75267 | + | 2.72647i | −0.579050 | + | 0.420704i | ||||
\(43\) | 12.3409 | 1.88197 | 0.940987 | − | 0.338444i | \(-0.109900\pi\) | ||||
0.940987 | + | 0.338444i | \(0.109900\pi\) | |||||||
\(44\) | 3.07088 | + | 11.4731i | 0.462952 | + | 1.72964i | ||||
\(45\) | 0.677682 | 0.101023 | ||||||||
\(46\) | −9.99683 | + | 7.26312i | −1.47395 | + | 1.07089i | ||||
\(47\) | 2.39049 | + | 7.35718i | 0.348689 | + | 1.07315i | 0.959579 | + | 0.281439i | \(0.0908117\pi\) |
−0.610890 | + | 0.791715i | \(0.709188\pi\) | |||||||
\(48\) | 0.935315 | − | 2.87860i | 0.135001 | − | 0.415491i | ||||
\(49\) | 4.72295 | + | 3.43142i | 0.674707 | + | 0.490204i | ||||
\(50\) | −0.845354 | − | 0.614185i | −0.119551 | − | 0.0868589i | ||||
\(51\) | 0.666147 | − | 2.05019i | 0.0932792 | − | 0.287084i | ||||
\(52\) | 1.10660 | + | 3.40577i | 0.153458 | + | 0.472296i | ||||
\(53\) | −6.19010 | + | 4.49737i | −0.850275 | + | 0.617761i | −0.925222 | − | 0.379427i | \(-0.876121\pi\) |
0.0749468 | + | 0.997188i | \(0.476121\pi\) | |||||||
\(54\) | 11.5427 | 1.57077 | ||||||||
\(55\) | 7.07078 | + | 0.372486i | 0.953423 | + | 0.0502260i | ||||
\(56\) | 4.02648 | 0.538061 | ||||||||
\(57\) | −1.51484 | + | 1.10059i | −0.200645 | + | 0.145777i | ||||
\(58\) | −5.16349 | − | 15.8916i | −0.677999 | − | 2.08667i | ||||
\(59\) | 3.87769 | − | 11.9343i | 0.504832 | − | 1.55371i | −0.296221 | − | 0.955119i | \(-0.595726\pi\) |
0.801053 | − | 0.598594i | \(-0.204274\pi\) | |||||||
\(60\) | −11.2653 | − | 8.18468i | −1.45434 | − | 1.05664i | ||||
\(61\) | 4.15573 | + | 3.01931i | 0.532086 | + | 0.386583i | 0.821138 | − | 0.570730i | \(-0.193340\pi\) |
−0.289051 | + | 0.957314i | \(0.593340\pi\) | |||||||
\(62\) | −3.78207 | + | 11.6400i | −0.480324 | + | 1.47828i | ||||
\(63\) | −0.105745 | − | 0.325450i | −0.0133226 | − | 0.0410028i | ||||
\(64\) | 9.46293 | − | 6.87522i | 1.18287 | − | 0.859402i | ||||
\(65\) | 2.13488 | 0.264799 | ||||||||
\(66\) | −14.2513 | − | 0.750752i | −1.75421 | − | 0.0924111i | ||||
\(67\) | −4.78456 | −0.584527 | −0.292263 | − | 0.956338i | \(-0.594408\pi\) | ||||
−0.292263 | + | 0.956338i | \(0.594408\pi\) | |||||||
\(68\) | −3.42889 | + | 2.49124i | −0.415814 | + | 0.302107i | ||||
\(69\) | −2.94395 | − | 9.06055i | −0.354410 | − | 1.09076i | ||||
\(70\) | 1.68011 | − | 5.17083i | 0.200811 | − | 0.618033i | ||||
\(71\) | −12.3107 | − | 8.94423i | −1.46101 | − | 1.06148i | −0.983099 | − | 0.183075i | \(-0.941395\pi\) |
−0.477909 | − | 0.878409i | \(-0.658605\pi\) | |||||||
\(72\) | 0.959208 | + | 0.696905i | 0.113044 | + | 0.0821311i | ||||
\(73\) | −1.55638 | + | 4.79003i | −0.182160 | + | 0.560631i | −0.999888 | − | 0.0149741i | \(-0.995233\pi\) |
0.817728 | + | 0.575605i | \(0.195233\pi\) | |||||||
\(74\) | −7.21651 | − | 22.2101i | −0.838902 | − | 2.58188i | ||||
\(75\) | 0.651751 | − | 0.473525i | 0.0752577 | − | 0.0546780i | ||||
\(76\) | 3.68143 | 0.422289 | ||||||||
\(77\) | −0.924436 | − | 3.45379i | −0.105349 | − | 0.393596i | ||||
\(78\) | −4.30288 | −0.487205 | ||||||||
\(79\) | 0.522678 | − | 0.379747i | 0.0588058 | − | 0.0427249i | −0.557994 | − | 0.829845i | \(-0.688429\pi\) |
0.616800 | + | 0.787120i | \(0.288429\pi\) | |||||||
\(80\) | 1.09630 | + | 3.37406i | 0.122570 | + | 0.377232i | ||||
\(81\) | −3.04429 | + | 9.36937i | −0.338255 | + | 1.04104i | ||||
\(82\) | 2.76285 | + | 2.00733i | 0.305106 | + | 0.221672i | ||||
\(83\) | 0.368309 | + | 0.267592i | 0.0404272 | + | 0.0293721i | 0.607815 | − | 0.794078i | \(-0.292046\pi\) |
−0.567388 | + | 0.823450i | \(0.692046\pi\) | |||||||
\(84\) | −2.17279 | + | 6.68715i | −0.237070 | + | 0.729628i | ||||
\(85\) | 0.780803 | + | 2.40306i | 0.0846900 | + | 0.260649i | ||||
\(86\) | 23.5865 | − | 17.1366i | 2.54339 | − | 1.84788i | ||||
\(87\) | 12.8826 | 1.38116 | ||||||||
\(88\) | 9.62509 | + | 7.79857i | 1.02604 | + | 0.831330i | ||||
\(89\) | −13.3715 | −1.41738 | −0.708688 | − | 0.705522i | \(-0.750713\pi\) | ||||
−0.708688 | + | 0.705522i | \(0.750713\pi\) | |||||||
\(90\) | 1.29521 | − | 0.941028i | 0.136528 | − | 0.0991931i | ||||
\(91\) | −0.333124 | − | 1.02525i | −0.0349209 | − | 0.107476i | ||||
\(92\) | −5.78814 | + | 17.8141i | −0.603455 | + | 1.85724i | ||||
\(93\) | −7.63394 | − | 5.54638i | −0.791602 | − | 0.575133i | ||||
\(94\) | 14.7850 | + | 10.7419i | 1.52495 | + | 1.10794i | ||||
\(95\) | 0.678206 | − | 2.08730i | 0.0695825 | − | 0.214153i | ||||
\(96\) | 1.99490 | + | 6.13966i | 0.203603 | + | 0.626626i | ||||
\(97\) | −9.53931 | + | 6.93072i | −0.968571 | + | 0.703708i | −0.955125 | − | 0.296202i | \(-0.904280\pi\) |
−0.0134453 | + | 0.999910i | \(0.504280\pi\) | |||||||
\(98\) | 13.7916 | 1.39316 | ||||||||
\(99\) | 0.377560 | − | 0.982780i | 0.0379462 | − | 0.0987731i | ||||
\(100\) | −1.58392 | −0.158392 | ||||||||
\(101\) | 5.12247 | − | 3.72169i | 0.509705 | − | 0.370322i | −0.303007 | − | 0.952988i | \(-0.597990\pi\) |
0.812712 | + | 0.582666i | \(0.197990\pi\) | |||||||
\(102\) | −1.57372 | − | 4.84341i | −0.155822 | − | 0.479570i | ||||
\(103\) | −1.18803 | + | 3.65637i | −0.117060 | + | 0.360272i | −0.992371 | − | 0.123287i | \(-0.960656\pi\) |
0.875311 | + | 0.483560i | \(0.160656\pi\) | |||||||
\(104\) | 3.02175 | + | 2.19543i | 0.296307 | + | 0.215280i | ||||
\(105\) | 3.39121 | + | 2.46386i | 0.330949 | + | 0.240448i | ||||
\(106\) | −5.58573 | + | 17.1911i | −0.542534 | + | 1.66975i | ||||
\(107\) | 1.17315 | + | 3.61060i | 0.113413 | + | 0.349050i | 0.991613 | − | 0.129245i | \(-0.0412553\pi\) |
−0.878200 | + | 0.478294i | \(0.841255\pi\) | |||||||
\(108\) | 14.1553 | − | 10.2844i | 1.36209 | − | 0.989619i | ||||
\(109\) | −10.8273 | −1.03707 | −0.518534 | − | 0.855057i | \(-0.673522\pi\) | ||||
−0.518534 | + | 0.855057i | \(0.673522\pi\) | |||||||
\(110\) | 14.0312 | − | 9.10655i | 1.33782 | − | 0.868276i | ||||
\(111\) | 18.0048 | 1.70894 | ||||||||
\(112\) | 1.44929 | − | 1.05297i | 0.136945 | − | 0.0994965i | ||||
\(113\) | 1.87857 | + | 5.78165i | 0.176721 | + | 0.543892i | 0.999708 | − | 0.0241688i | \(-0.00769391\pi\) |
−0.822987 | + | 0.568061i | \(0.807694\pi\) | |||||||
\(114\) | −1.36694 | + | 4.20700i | −0.128025 | + | 0.394021i | ||||
\(115\) | 9.03394 | + | 6.56354i | 0.842419 | + | 0.612053i | ||||
\(116\) | −20.4913 | − | 14.8878i | −1.90257 | − | 1.38230i | ||||
\(117\) | 0.0980925 | − | 0.301898i | 0.00906866 | − | 0.0279105i | ||||
\(118\) | −9.16074 | − | 28.1939i | −0.843314 | − | 2.59545i | ||||
\(119\) | 1.03221 | − | 0.749944i | 0.0946225 | − | 0.0687473i | ||||
\(120\) | −14.5236 | −1.32582 | ||||||||
\(121\) | 4.47955 | − | 10.0466i | 0.407232 | − | 0.913325i | ||||
\(122\) | 12.1352 | 1.09867 | ||||||||
\(123\) | −2.13010 | + | 1.54761i | −0.192065 | + | 0.139543i | ||||
\(124\) | 5.73300 | + | 17.6444i | 0.514838 | + | 1.58451i | ||||
\(125\) | −3.59036 | + | 11.0500i | −0.321131 | + | 0.988341i | ||||
\(126\) | −0.654023 | − | 0.475175i | −0.0582650 | − | 0.0423320i | ||||
\(127\) | −1.14582 | − | 0.832484i | −0.101675 | − | 0.0738710i | 0.535786 | − | 0.844354i | \(-0.320015\pi\) |
−0.637461 | + | 0.770483i | \(0.720015\pi\) | |||||||
\(128\) | 6.34849 | − | 19.5386i | 0.561132 | − | 1.72699i | ||||
\(129\) | 6.94594 | + | 21.3774i | 0.611556 | + | 1.88218i | ||||
\(130\) | 4.08026 | − | 2.96448i | 0.357863 | − | 0.260002i | ||||
\(131\) | 5.34497 | 0.466992 | 0.233496 | − | 0.972358i | \(-0.424983\pi\) | ||||
0.233496 | + | 0.972358i | \(0.424983\pi\) | |||||||
\(132\) | −18.1457 | + | 11.7770i | −1.57938 | + | 1.02506i | ||||
\(133\) | −1.10823 | −0.0960959 | ||||||||
\(134\) | −9.14444 | + | 6.64382i | −0.789959 | + | 0.573939i | ||||
\(135\) | −3.22334 | − | 9.92043i | −0.277421 | − | 0.853815i | ||||
\(136\) | −1.36606 | + | 4.20430i | −0.117139 | + | 0.360516i | ||||
\(137\) | −0.518306 | − | 0.376571i | −0.0442818 | − | 0.0321726i | 0.565424 | − | 0.824800i | \(-0.308712\pi\) |
−0.609706 | + | 0.792628i | \(0.708712\pi\) | |||||||
\(138\) | −18.2081 | − | 13.2289i | −1.54997 | − | 1.12612i | ||||
\(139\) | −5.51383 | + | 16.9698i | −0.467677 | + | 1.43936i | 0.387908 | + | 0.921698i | \(0.373198\pi\) |
−0.855585 | + | 0.517663i | \(0.826802\pi\) | |||||||
\(140\) | −2.54676 | − | 7.83813i | −0.215241 | − | 0.662443i | ||||
\(141\) | −11.3989 | + | 8.28180i | −0.959962 | + | 0.697453i | ||||
\(142\) | −35.9486 | −3.01674 | ||||||||
\(143\) | 1.18941 | − | 3.09601i | 0.0994636 | − | 0.258902i | ||||
\(144\) | 0.527507 | 0.0439589 | ||||||||
\(145\) | −12.2161 | + | 8.87553i | −1.01449 | + | 0.737073i | ||||
\(146\) | 3.67682 | + | 11.3161i | 0.304296 | + | 0.936526i | ||||
\(147\) | −3.28579 | + | 10.1126i | −0.271007 | + | 0.834074i | ||||
\(148\) | −28.6388 | − | 20.8073i | −2.35409 | − | 1.71035i | ||||
\(149\) | −5.84759 | − | 4.24852i | −0.479053 | − | 0.348053i | 0.321906 | − | 0.946772i | \(-0.395677\pi\) |
−0.800959 | + | 0.598719i | \(0.795677\pi\) | |||||||
\(150\) | 0.588118 | − | 1.81004i | 0.0480196 | − | 0.147789i | ||||
\(151\) | 5.07162 | + | 15.6088i | 0.412723 | + | 1.27023i | 0.914272 | + | 0.405100i | \(0.132763\pi\) |
−0.501550 | + | 0.865129i | \(0.667237\pi\) | |||||||
\(152\) | 3.10646 | − | 2.25698i | 0.251967 | − | 0.183065i | ||||
\(153\) | 0.375699 | 0.0303735 | ||||||||
\(154\) | −6.56274 | − | 5.31735i | −0.528841 | − | 0.428484i | ||||
\(155\) | 11.0602 | 0.888375 | ||||||||
\(156\) | −5.27677 | + | 3.83380i | −0.422480 | + | 0.306950i | ||||
\(157\) | 0.0476578 | + | 0.146676i | 0.00380351 | + | 0.0117060i | 0.952940 | − | 0.303158i | \(-0.0980410\pi\) |
−0.949137 | + | 0.314864i | \(0.898041\pi\) | |||||||
\(158\) | 0.471646 | − | 1.45158i | 0.0375221 | − | 0.115481i | ||||
\(159\) | −11.2745 | − | 8.19143i | −0.894129 | − | 0.649622i | ||||
\(160\) | −6.12163 | − | 4.44762i | −0.483957 | − | 0.351615i | ||||
\(161\) | 1.74242 | − | 5.36262i | 0.137322 | − | 0.422634i | ||||
\(162\) | 7.19191 | + | 22.1344i | 0.565050 | + | 1.73904i | ||||
\(163\) | 4.66442 | − | 3.38890i | 0.365345 | − | 0.265439i | −0.389933 | − | 0.920843i | \(-0.627502\pi\) |
0.755278 | + | 0.655404i | \(0.227502\pi\) | |||||||
\(164\) | 5.17668 | 0.404231 | ||||||||
\(165\) | 3.33447 | + | 12.4579i | 0.259588 | + | 0.969847i | ||||
\(166\) | 1.07551 | 0.0834755 | ||||||||
\(167\) | 16.1422 | − | 11.7280i | 1.24912 | − | 0.907542i | 0.250954 | − | 0.967999i | \(-0.419256\pi\) |
0.998171 | + | 0.0604569i | \(0.0192558\pi\) | |||||||
\(168\) | 2.26626 | + | 6.97482i | 0.174845 | + | 0.538119i | ||||
\(169\) | 0.309017 | − | 0.951057i | 0.0237705 | − | 0.0731582i | ||||
\(170\) | 4.82919 | + | 3.50861i | 0.370382 | + | 0.269098i | ||||
\(171\) | −0.264009 | − | 0.191814i | −0.0201892 | − | 0.0146683i | ||||
\(172\) | 13.6565 | − | 42.0304i | 1.04130 | − | 3.20479i | ||||
\(173\) | −3.69053 | − | 11.3583i | −0.280586 | − | 0.863554i | −0.987687 | − | 0.156442i | \(-0.949998\pi\) |
0.707101 | − | 0.707112i | \(-0.250002\pi\) | |||||||
\(174\) | 24.6218 | − | 17.8888i | 1.86657 | − | 1.35614i | ||||
\(175\) | 0.476812 | 0.0360436 | ||||||||
\(176\) | 5.50388 | + | 0.289942i | 0.414870 | + | 0.0218552i | ||||
\(177\) | 22.8555 | 1.71793 | ||||||||
\(178\) | −25.5561 | + | 18.5676i | −1.91551 | + | 1.39170i | ||||
\(179\) | 1.03850 | + | 3.19618i | 0.0776212 | + | 0.238893i | 0.982336 | − | 0.187123i | \(-0.0599164\pi\) |
−0.904715 | + | 0.426017i | \(0.859916\pi\) | |||||||
\(180\) | 0.749925 | − | 2.30803i | 0.0558961 | − | 0.172031i | ||||
\(181\) | 3.95188 | + | 2.87121i | 0.293741 | + | 0.213415i | 0.724889 | − | 0.688866i | \(-0.241891\pi\) |
−0.431148 | + | 0.902281i | \(0.641891\pi\) | |||||||
\(182\) | −2.06034 | − | 1.49693i | −0.152723 | − | 0.110960i | ||||
\(183\) | −2.89117 | + | 8.89809i | −0.213721 | + | 0.657766i | ||||
\(184\) | 6.03713 | + | 18.5804i | 0.445063 | + | 1.36976i | ||||
\(185\) | −17.0733 | + | 12.4045i | −1.25525 | + | 0.911995i | ||||
\(186\) | −22.2920 | −1.63453 | ||||||||
\(187\) | 3.91995 | + | 0.206502i | 0.286655 | + | 0.0151009i | ||||
\(188\) | 27.7022 | 2.02039 | ||||||||
\(189\) | −4.26121 | + | 3.09595i | −0.309958 | + | 0.225197i | ||||
\(190\) | −1.60221 | − | 4.93110i | −0.116237 | − | 0.357739i | ||||
\(191\) | 7.35891 | − | 22.6484i | 0.532472 | − | 1.63878i | −0.216577 | − | 0.976266i | \(-0.569489\pi\) |
0.749049 | − | 0.662515i | \(-0.230511\pi\) | |||||||
\(192\) | 17.2356 | + | 12.5224i | 1.24387 | + | 0.903727i | ||||
\(193\) | 16.6219 | + | 12.0765i | 1.19647 | + | 0.869289i | 0.993933 | − | 0.109985i | \(-0.0350804\pi\) |
0.202540 | + | 0.979274i | \(0.435080\pi\) | |||||||
\(194\) | −8.60795 | + | 26.4925i | −0.618015 | + | 1.90205i | ||||
\(195\) | 1.20159 | + | 3.69811i | 0.0860476 | + | 0.264827i | ||||
\(196\) | 16.9131 | − | 12.2881i | 1.20808 | − | 0.877720i | ||||
\(197\) | 15.4653 | 1.10185 | 0.550927 | − | 0.834553i | \(-0.314274\pi\) | ||||
0.550927 | + | 0.834553i | \(0.314274\pi\) | |||||||
\(198\) | −0.643079 | − | 2.40261i | −0.0457016 | − | 0.170746i | ||||
\(199\) | −21.3373 | −1.51256 | −0.756280 | − | 0.654248i | \(-0.772985\pi\) | ||||
−0.756280 | + | 0.654248i | \(0.772985\pi\) | |||||||
\(200\) | −1.33654 | + | 0.971053i | −0.0945077 | + | 0.0686638i | ||||
\(201\) | −2.69293 | − | 8.28799i | −0.189945 | − | 0.584590i | ||||
\(202\) | 4.62234 | − | 14.2261i | 0.325227 | − | 1.00094i | ||||
\(203\) | 6.16857 | + | 4.48173i | 0.432949 | + | 0.314556i | ||||
\(204\) | −6.24532 | − | 4.53749i | −0.437260 | − | 0.317688i | ||||
\(205\) | 0.953667 | − | 2.93509i | 0.0666070 | − | 0.204995i | ||||
\(206\) | 2.80662 | + | 8.63788i | 0.195546 | + | 0.601830i | ||||
\(207\) | 1.34325 | − | 0.975931i | 0.0933626 | − | 0.0678319i | ||||
\(208\) | 1.66178 | 0.115224 | ||||||||
\(209\) | −2.64917 | − | 2.14645i | −0.183247 | − | 0.148473i | ||||
\(210\) | 9.90274 | 0.683354 | ||||||||
\(211\) | −2.96205 | + | 2.15206i | −0.203916 | + | 0.148154i | −0.685057 | − | 0.728490i | \(-0.740223\pi\) |
0.481141 | + | 0.876643i | \(0.340223\pi\) | |||||||
\(212\) | 8.46704 | + | 26.0589i | 0.581519 | + | 1.78973i | ||||
\(213\) | 8.56461 | − | 26.3592i | 0.586837 | − | 1.80610i | ||||
\(214\) | 7.25585 | + | 5.27168i | 0.495999 | + | 0.360365i | ||||
\(215\) | −21.3146 | − | 15.4860i | −1.45365 | − | 1.05614i | ||||
\(216\) | 5.63943 | − | 17.3564i | 0.383715 | − | 1.18095i | ||||
\(217\) | −1.72582 | − | 5.31153i | −0.117156 | − | 0.360570i | ||||
\(218\) | −20.6936 | + | 15.0348i | −1.40155 | + | 1.01828i | ||||
\(219\) | −9.17346 | −0.619885 | ||||||||
\(220\) | 9.09315 | − | 23.6693i | 0.613060 | − | 1.59578i | ||||
\(221\) | 1.18355 | 0.0796142 | ||||||||
\(222\) | 34.4115 | − | 25.0014i | 2.30955 | − | 1.67799i | ||||
\(223\) | −0.637405 | − | 1.96173i | −0.0426838 | − | 0.131367i | 0.927444 | − | 0.373963i | \(-0.122001\pi\) |
−0.970128 | + | 0.242596i | \(0.922001\pi\) | |||||||
\(224\) | −1.18071 | + | 3.63385i | −0.0788895 | + | 0.242797i | ||||
\(225\) | 0.113588 | + | 0.0825269i | 0.00757256 | + | 0.00550179i | ||||
\(226\) | 11.6188 | + | 8.44154i | 0.772870 | + | 0.561523i | ||||
\(227\) | 1.76510 | − | 5.43241i | 0.117154 | − | 0.360562i | −0.875236 | − | 0.483695i | \(-0.839294\pi\) |
0.992390 | + | 0.123133i | \(0.0392943\pi\) | |||||||
\(228\) | 2.07205 | + | 6.37711i | 0.137225 | + | 0.422334i | ||||
\(229\) | 9.53500 | − | 6.92758i | 0.630091 | − | 0.457788i | −0.226341 | − | 0.974048i | \(-0.572676\pi\) |
0.856432 | + | 0.516260i | \(0.172676\pi\) | |||||||
\(230\) | 26.3801 | 1.73946 | ||||||||
\(231\) | 5.46247 | − | 3.54527i | 0.359404 | − | 0.233261i | ||||
\(232\) | −26.4183 | −1.73444 | ||||||||
\(233\) | −21.6427 | + | 15.7243i | −1.41786 | + | 1.03013i | −0.425737 | + | 0.904847i | \(0.639985\pi\) |
−0.992121 | + | 0.125287i | \(0.960015\pi\) | |||||||
\(234\) | −0.231736 | − | 0.713210i | −0.0151491 | − | 0.0466240i | ||||
\(235\) | 5.10340 | − | 15.7067i | 0.332909 | − | 1.02459i | ||||
\(236\) | −36.3545 | − | 26.4131i | −2.36647 | − | 1.71934i | ||||
\(237\) | 0.951996 | + | 0.691665i | 0.0618388 | + | 0.0449285i | ||||
\(238\) | 0.931430 | − | 2.86665i | 0.0603757 | − | 0.185817i | ||||
\(239\) | 7.05409 | + | 21.7103i | 0.456291 | + | 1.40432i | 0.869613 | + | 0.493735i | \(0.164369\pi\) |
−0.413321 | + | 0.910585i | \(0.635631\pi\) | |||||||
\(240\) | −5.22764 | + | 3.79810i | −0.337443 | + | 0.245166i | ||||
\(241\) | −18.4323 | −1.18733 | −0.593664 | − | 0.804713i | \(-0.702319\pi\) | ||||
−0.593664 | + | 0.804713i | \(0.702319\pi\) | |||||||
\(242\) | −5.38915 | − | 25.4217i | −0.346427 | − | 1.63417i | ||||
\(243\) | −3.28548 | −0.210764 | ||||||||
\(244\) | 14.8818 | − | 10.8123i | 0.952712 | − | 0.692186i | ||||
\(245\) | −3.85133 | − | 11.8532i | −0.246052 | − | 0.757272i | ||||
\(246\) | −1.92213 | + | 5.91571i | −0.122551 | + | 0.377172i | ||||
\(247\) | −0.831696 | − | 0.604263i | −0.0529195 | − | 0.0384483i | ||||
\(248\) | 15.6548 | + | 11.3739i | 0.994084 | + | 0.722244i | ||||
\(249\) | −0.256235 | + | 0.788611i | −0.0162382 | + | 0.0499762i | ||||
\(250\) | 8.48195 | + | 26.1048i | 0.536445 | + | 1.65101i | ||||
\(251\) | −9.69946 | + | 7.04707i | −0.612224 | + | 0.444807i | −0.850197 | − | 0.526465i | \(-0.823517\pi\) |
0.237972 | + | 0.971272i | \(0.423517\pi\) | |||||||
\(252\) | −1.22543 | −0.0771946 | ||||||||
\(253\) | 14.5516 | − | 9.44432i | 0.914852 | − | 0.593759i | ||||
\(254\) | −3.34591 | −0.209941 | ||||||||
\(255\) | −3.72321 | + | 2.70507i | −0.233157 | + | 0.169398i | ||||
\(256\) | −7.76878 | − | 23.9099i | −0.485549 | − | 1.49437i | ||||
\(257\) | −1.86292 | + | 5.73346i | −0.116205 | + | 0.357644i | −0.992197 | − | 0.124684i | \(-0.960208\pi\) |
0.875991 | + | 0.482327i | \(0.160208\pi\) | |||||||
\(258\) | 42.9600 | + | 31.2123i | 2.67457 | + | 1.94319i | ||||
\(259\) | 8.62122 | + | 6.26368i | 0.535696 | + | 0.389206i | ||||
\(260\) | 2.36246 | − | 7.27090i | 0.146514 | − | 0.450922i | ||||
\(261\) | 0.693808 | + | 2.13532i | 0.0429456 | + | 0.132173i | ||||
\(262\) | 10.2155 | − | 7.42201i | 0.631117 | − | 0.458533i | ||||
\(263\) | −9.26488 | −0.571297 | −0.285648 | − | 0.958334i | \(-0.592209\pi\) | ||||
−0.285648 | + | 0.958334i | \(0.592209\pi\) | |||||||
\(264\) | −8.09160 | + | 21.0623i | −0.498004 | + | 1.29629i | ||||
\(265\) | 16.3347 | 1.00344 | ||||||||
\(266\) | −2.11810 | + | 1.53889i | −0.129869 | + | 0.0943553i | ||||
\(267\) | −7.52599 | − | 23.1626i | −0.460583 | − | 1.41753i | ||||
\(268\) | −5.29461 | + | 16.2951i | −0.323420 | + | 0.995383i | ||||
\(269\) | −7.44671 | − | 5.41035i | −0.454034 | − | 0.329875i | 0.337153 | − | 0.941450i | \(-0.390536\pi\) |
−0.791186 | + | 0.611575i | \(0.790536\pi\) | |||||||
\(270\) | −19.9361 | − | 14.4844i | −1.21327 | − | 0.881492i | ||||
\(271\) | 2.71775 | − | 8.36438i | 0.165092 | − | 0.508100i | −0.833951 | − | 0.551838i | \(-0.813927\pi\) |
0.999043 | + | 0.0437381i | \(0.0139267\pi\) | |||||||
\(272\) | 0.607775 | + | 1.87054i | 0.0368518 | + | 0.113418i | ||||
\(273\) | 1.58848 | − | 1.15410i | 0.0961394 | − | 0.0698494i | ||||
\(274\) | −1.51351 | −0.0914346 | ||||||||
\(275\) | 1.13979 | + | 0.923499i | 0.0687322 | + | 0.0556891i | ||||
\(276\) | −34.1160 | −2.05354 | ||||||||
\(277\) | 15.2930 | − | 11.1110i | 0.918870 | − | 0.667598i | −0.0243725 | − | 0.999703i | \(-0.507759\pi\) |
0.943243 | + | 0.332105i | \(0.107759\pi\) | |||||||
\(278\) | 13.0260 | + | 40.0899i | 0.781247 | + | 2.40443i | ||||
\(279\) | 0.508190 | − | 1.56405i | 0.0304245 | − | 0.0936370i | ||||
\(280\) | −6.95433 | − | 5.05262i | −0.415601 | − | 0.301952i | ||||
\(281\) | −4.24483 | − | 3.08405i | −0.253225 | − | 0.183979i | 0.453930 | − | 0.891038i | \(-0.350022\pi\) |
−0.707155 | + | 0.707059i | \(0.750022\pi\) | |||||||
\(282\) | −10.2860 | + | 31.6570i | −0.612522 | + | 1.88515i | ||||
\(283\) | −2.72557 | − | 8.38843i | −0.162018 | − | 0.498640i | 0.836786 | − | 0.547530i | \(-0.184432\pi\) |
−0.998804 | + | 0.0488895i | \(0.984432\pi\) | |||||||
\(284\) | −44.0850 | + | 32.0297i | −2.61597 | + | 1.90061i | ||||
\(285\) | 3.99743 | 0.236787 | ||||||||
\(286\) | −2.02587 | − | 7.56884i | −0.119792 | − | 0.447555i | ||||
\(287\) | −1.55835 | −0.0919867 | ||||||||
\(288\) | −0.910223 | + | 0.661316i | −0.0536354 | + | 0.0389684i | ||||
\(289\) | −4.82042 | − | 14.8357i | −0.283554 | − | 0.872690i | ||||
\(290\) | −11.0234 | + | 33.9265i | −0.647317 | + | 1.99224i | ||||
\(291\) | −17.3747 | − | 12.6235i | −1.01853 | − | 0.740002i | ||||
\(292\) | 14.5915 | + | 10.6013i | 0.853902 | + | 0.620396i | ||||
\(293\) | 2.99033 | − | 9.20329i | 0.174697 | − | 0.537662i | −0.824923 | − | 0.565246i | \(-0.808781\pi\) |
0.999619 | + | 0.0275838i | \(0.00878131\pi\) | |||||||
\(294\) | 7.76242 | + | 23.8903i | 0.452713 | + | 1.39331i | ||||
\(295\) | −21.6731 | + | 15.7464i | −1.26186 | + | 0.916792i | ||||
\(296\) | −36.9223 | −2.14606 | ||||||||
\(297\) | −16.1825 | − | 0.852489i | −0.939005 | − | 0.0494665i | ||||
\(298\) | −17.0756 | −0.989165 | ||||||||
\(299\) | 4.23160 | − | 3.07444i | 0.244720 | − | 0.177799i | ||||
\(300\) | −0.891489 | − | 2.74372i | −0.0514702 | − | 0.158409i | ||||
\(301\) | −4.11106 | + | 12.6525i | −0.236958 | + | 0.729281i | ||||
\(302\) | 31.3675 | + | 22.7898i | 1.80500 | + | 1.31141i | ||||
\(303\) | 9.32998 | + | 6.77862i | 0.535993 | + | 0.389422i | ||||
\(304\) | 0.527915 | − | 1.62475i | 0.0302780 | − | 0.0931860i | ||||
\(305\) | −3.38879 | − | 10.4296i | −0.194041 | − | 0.597198i | ||||
\(306\) | 0.718051 | − | 0.521695i | 0.0410483 | − | 0.0298233i | ||||
\(307\) | 25.1565 | 1.43576 | 0.717879 | − | 0.696168i | \(-0.245113\pi\) | ||||
0.717879 | + | 0.696168i | \(0.245113\pi\) | |||||||
\(308\) | −12.7858 | − | 0.673552i | −0.728539 | − | 0.0383792i | ||||
\(309\) | −7.00236 | −0.398350 | ||||||||
\(310\) | 21.1387 | − | 15.3581i | 1.20060 | − | 0.872284i | ||||
\(311\) | −9.00110 | − | 27.7025i | −0.510405 | − | 1.57087i | −0.791489 | − | 0.611183i | \(-0.790694\pi\) |
0.281084 | − | 0.959683i | \(-0.409306\pi\) | |||||||
\(312\) | −2.10225 | + | 6.47007i | −0.119017 | + | 0.366295i | ||||
\(313\) | 18.3329 | + | 13.3196i | 1.03624 | + | 0.752870i | 0.969547 | − | 0.244904i | \(-0.0787564\pi\) |
0.0666891 | + | 0.997774i | \(0.478756\pi\) | |||||||
\(314\) | 0.294759 | + | 0.214155i | 0.0166342 | + | 0.0120855i | ||||
\(315\) | −0.225752 | + | 0.694795i | −0.0127197 | + | 0.0391472i | ||||
\(316\) | −0.714938 | − | 2.20035i | −0.0402184 | − | 0.123779i | ||||
\(317\) | −5.54620 | + | 4.02955i | −0.311506 | + | 0.226322i | −0.732542 | − | 0.680722i | \(-0.761666\pi\) |
0.421037 | + | 0.907044i | \(0.361666\pi\) | |||||||
\(318\) | −32.9229 | −1.84623 | ||||||||
\(319\) | 6.06535 | + | 22.6608i | 0.339595 | + | 1.26876i | ||||
\(320\) | −24.9713 | −1.39594 | ||||||||
\(321\) | −5.59412 | + | 4.06436i | −0.312233 | + | 0.226851i | ||||
\(322\) | −4.11634 | − | 12.6688i | −0.229395 | − | 0.706004i | ||||
\(323\) | 0.375990 | − | 1.15718i | 0.0209206 | − | 0.0643870i | ||||
\(324\) | 28.5411 | + | 20.7363i | 1.58562 | + | 1.15202i | ||||
\(325\) | 0.357833 | + | 0.259981i | 0.0198490 | + | 0.0144212i | ||||
\(326\) | 4.20901 | − | 12.9540i | 0.233116 | − | 0.717456i | ||||
\(327\) | −6.09402 | − | 18.7555i | −0.337000 | − | 1.03718i | ||||
\(328\) | 4.36818 | − | 3.17367i | 0.241193 | − | 0.175237i | ||||
\(329\) | −8.33928 | −0.459760 | ||||||||
\(330\) | 23.6720 | + | 19.1798i | 1.30310 | + | 1.05582i | ||||
\(331\) | −1.87735 | −0.103189 | −0.0515944 | − | 0.998668i | \(-0.516430\pi\) | ||||
−0.0515944 | + | 0.998668i | \(0.516430\pi\) | |||||||
\(332\) | 1.31893 | − | 0.958260i | 0.0723858 | − | 0.0525914i | ||||
\(333\) | 0.969668 | + | 2.98433i | 0.0531375 | + | 0.163540i | ||||
\(334\) | 14.5662 | − | 44.8302i | 0.797027 | − | 2.45300i | ||||
\(335\) | 8.26365 | + | 6.00389i | 0.451492 | + | 0.328028i | ||||
\(336\) | 2.63971 | + | 1.91787i | 0.144008 | + | 0.104628i | ||||
\(337\) | 10.4342 | − | 32.1131i | 0.568385 | − | 1.74931i | −0.0892876 | − | 0.996006i | \(-0.528459\pi\) |
0.657673 | − | 0.753304i | \(-0.271541\pi\) | |||||||
\(338\) | −0.730029 | − | 2.24680i | −0.0397083 | − | 0.122210i | ||||
\(339\) | −8.95786 | + | 6.50827i | −0.486524 | + | 0.353480i | ||||
\(340\) | 9.04833 | 0.490715 | ||||||||
\(341\) | 6.16200 | − | 16.0396i | 0.333691 | − | 0.868591i | ||||
\(342\) | −0.770936 | −0.0416874 | ||||||||
\(343\) | −11.1963 | + | 8.13460i | −0.604544 | + | 0.439227i | ||||
\(344\) | −14.2440 | − | 43.8385i | −0.767984 | − | 2.36361i | ||||
\(345\) | −6.28497 | + | 19.3431i | −0.338371 | + | 1.04140i | ||||
\(346\) | −22.8256 | − | 16.5837i | −1.22711 | − | 0.891548i | ||||
\(347\) | 17.4818 | + | 12.7012i | 0.938471 | + | 0.681839i | 0.948052 | − | 0.318115i | \(-0.103050\pi\) |
−0.00958149 | + | 0.999954i | \(0.503050\pi\) | |||||||
\(348\) | 14.2560 | − | 43.8753i | 0.764199 | − | 2.35196i | ||||
\(349\) | −7.94035 | − | 24.4379i | −0.425037 | − | 1.30813i | −0.902959 | − | 0.429727i | \(-0.858610\pi\) |
0.477922 | − | 0.878402i | \(-0.341390\pi\) | |||||||
\(350\) | 0.911302 | − | 0.662100i | 0.0487111 | − | 0.0353907i | ||||
\(351\) | −4.88598 | −0.260794 | ||||||||
\(352\) | −9.86054 | + | 6.39971i | −0.525569 | + | 0.341106i | ||||
\(353\) | 12.8401 | 0.683410 | 0.341705 | − | 0.939807i | \(-0.388996\pi\) | ||||
0.341705 | + | 0.939807i | \(0.388996\pi\) | |||||||
\(354\) | 43.6824 | − | 31.7372i | 2.32170 | − | 1.68681i | ||||
\(355\) | 10.0387 | + | 30.8960i | 0.532801 | + | 1.63979i | ||||
\(356\) | −14.7969 | + | 45.5403i | −0.784236 | + | 2.41363i | ||||
\(357\) | 1.88005 | + | 1.36594i | 0.0995028 | + | 0.0722930i | ||||
\(358\) | 6.42303 | + | 4.66660i | 0.339467 | + | 0.246638i | ||||
\(359\) | −5.02299 | + | 15.4592i | −0.265104 | + | 0.815905i | 0.726566 | + | 0.687097i | \(0.241115\pi\) |
−0.991670 | + | 0.128808i | \(0.958885\pi\) | |||||||
\(360\) | −0.782186 | − | 2.40732i | −0.0412248 | − | 0.126877i | ||||
\(361\) | 14.5163 | − | 10.5467i | 0.764016 | − | 0.555090i | ||||
\(362\) | 11.5400 | 0.606527 | ||||||||
\(363\) | 19.9243 | + | 2.10505i | 1.04576 | + | 0.110487i | ||||
\(364\) | −3.86041 | −0.202340 | ||||||||
\(365\) | 8.69886 | − | 6.32009i | 0.455319 | − | 0.330809i | ||||
\(366\) | 6.83016 | + | 21.0211i | 0.357018 | + | 1.09879i | ||||
\(367\) | 0.582455 | − | 1.79261i | 0.0304039 | − | 0.0935736i | −0.934703 | − | 0.355430i | \(-0.884335\pi\) |
0.965107 | + | 0.261856i | \(0.0843346\pi\) | |||||||
\(368\) | 7.03200 | + | 5.10905i | 0.366568 | + | 0.266328i | ||||
\(369\) | −0.371239 | − | 0.269721i | −0.0193259 | − | 0.0140411i | ||||
\(370\) | −15.4063 | + | 47.4159i | −0.800938 | + | 2.46503i | ||||
\(371\) | −2.54886 | − | 7.84459i | −0.132330 | − | 0.407271i | ||||
\(372\) | −27.3375 | + | 19.8618i | −1.41738 | + | 1.02979i | ||||
\(373\) | 20.2429 | 1.04814 | 0.524070 | − | 0.851675i | \(-0.324413\pi\) | ||||
0.524070 | + | 0.851675i | \(0.324413\pi\) | |||||||
\(374\) | 7.77872 | − | 5.04856i | 0.402228 | − | 0.261055i | ||||
\(375\) | −21.1620 | −1.09280 | ||||||||
\(376\) | 23.3757 | − | 16.9834i | 1.20551 | − | 0.875852i | ||||
\(377\) | 2.18567 | + | 6.72681i | 0.112568 | + | 0.346449i | ||||
\(378\) | −3.84517 | + | 11.8342i | −0.197774 | + | 0.608686i | ||||
\(379\) | −21.4830 | − | 15.6083i | −1.10351 | − | 0.801745i | −0.121878 | − | 0.992545i | \(-0.538892\pi\) |
−0.981629 | + | 0.190800i | \(0.938892\pi\) | |||||||
\(380\) | −6.35838 | − | 4.61964i | −0.326178 | − | 0.236982i | ||||
\(381\) | 0.797151 | − | 2.45338i | 0.0408393 | − | 0.125690i | ||||
\(382\) | −17.3849 | − | 53.5051i | −0.889487 | − | 2.73756i | ||||
\(383\) | −1.86232 | + | 1.35306i | −0.0951603 | + | 0.0691380i | −0.634348 | − | 0.773048i | \(-0.718731\pi\) |
0.539188 | + | 0.842186i | \(0.318731\pi\) | |||||||
\(384\) | 37.4187 | 1.90952 | ||||||||
\(385\) | −2.73734 | + | 7.12524i | −0.139508 | + | 0.363136i | ||||
\(386\) | 48.5380 | 2.47052 | ||||||||
\(387\) | −3.16927 | + | 2.30261i | −0.161103 | + | 0.117048i | ||||
\(388\) | 13.0482 | + | 40.1583i | 0.662423 | + | 2.03873i | ||||
\(389\) | −9.98018 | + | 30.7158i | −0.506015 | + | 1.55735i | 0.293042 | + | 0.956099i | \(0.405332\pi\) |
−0.799057 | + | 0.601255i | \(0.794668\pi\) | |||||||
\(390\) | 7.43172 | + | 5.39946i | 0.376320 | + | 0.273412i | ||||
\(391\) | 5.00831 | + | 3.63875i | 0.253281 | + | 0.184019i | ||||
\(392\) | 6.73813 | − | 20.7378i | 0.340327 | − | 1.04742i | ||||
\(393\) | 3.00835 | + | 9.25875i | 0.151751 | + | 0.467042i | ||||
\(394\) | 29.5578 | − | 21.4750i | 1.48910 | − | 1.08190i | ||||
\(395\) | −1.37927 | −0.0693985 | ||||||||
\(396\) | −2.92932 | − | 2.37343i | −0.147204 | − | 0.119269i | ||||
\(397\) | −19.5159 | −0.979474 | −0.489737 | − | 0.871870i | \(-0.662907\pi\) | ||||
−0.489737 | + | 0.871870i | \(0.662907\pi\) | |||||||
\(398\) | −40.7807 | + | 29.6289i | −2.04415 | + | 1.48516i | ||||
\(399\) | −0.623755 | − | 1.91972i | −0.0312268 | − | 0.0961063i | ||||
\(400\) | −0.227133 | + | 0.699043i | −0.0113566 | + | 0.0349521i | ||||
\(401\) | 13.2360 | + | 9.61649i | 0.660973 | + | 0.480225i | 0.866991 | − | 0.498323i | \(-0.166051\pi\) |
−0.206019 | + | 0.978548i | \(0.566051\pi\) | |||||||
\(402\) | −16.6555 | − | 12.1009i | −0.830702 | − | 0.603540i | ||||
\(403\) | 1.60093 | − | 4.92715i | 0.0797480 | − | 0.245439i | ||||
\(404\) | −7.00670 | − | 21.5644i | −0.348596 | − | 1.07287i | ||||
\(405\) | 17.0151 | − | 12.3622i | 0.845487 | − | 0.614282i | ||||
\(406\) | 18.0129 | 0.893967 | ||||||||
\(407\) | 8.47696 | + | 31.6708i | 0.420187 | + | 1.56986i | ||||
\(408\) | −8.05173 | −0.398620 | ||||||||
\(409\) | 3.10172 | − | 2.25353i | 0.153370 | − | 0.111430i | −0.508454 | − | 0.861089i | \(-0.669783\pi\) |
0.661824 | + | 0.749659i | \(0.269783\pi\) | |||||||
\(410\) | −2.25297 | − | 6.93392i | −0.111266 | − | 0.342442i | ||||
\(411\) | 0.360588 | − | 1.10978i | 0.0177865 | − | 0.0547413i | ||||
\(412\) | 11.1381 | + | 8.09229i | 0.548734 | + | 0.398679i | ||||
\(413\) | 10.9439 | + | 7.95121i | 0.538514 | + | 0.391253i | ||||
\(414\) | 1.21211 | − | 3.73048i | 0.0595718 | − | 0.183343i | ||||
\(415\) | −0.300338 | − | 0.924345i | −0.0147430 | − | 0.0453743i | ||||
\(416\) | −2.86744 | + | 2.08332i | −0.140588 | + | 0.102143i | ||||
\(417\) | −32.4991 | −1.59149 | ||||||||
\(418\) | −8.04376 | − | 0.423743i | −0.393433 | − | 0.0207259i | ||||
\(419\) | −31.1596 | −1.52225 | −0.761124 | − | 0.648606i | \(-0.775352\pi\) | ||||
−0.761124 | + | 0.648606i | \(0.775352\pi\) | |||||||
\(420\) | 12.1441 | − | 8.82319i | 0.592571 | − | 0.430528i | ||||
\(421\) | −1.07310 | − | 3.30266i | −0.0522996 | − | 0.160962i | 0.921495 | − | 0.388389i | \(-0.126968\pi\) |
−0.973795 | + | 0.227428i | \(0.926968\pi\) | |||||||
\(422\) | −2.67286 | + | 8.22620i | −0.130113 | + | 0.400445i | ||||
\(423\) | −1.98663 | − | 1.44337i | −0.0965931 | − | 0.0701790i | ||||
\(424\) | 23.1206 | + | 16.7981i | 1.12283 | + | 0.815787i | ||||
\(425\) | −0.161768 | + | 0.497870i | −0.00784689 | + | 0.0241502i | ||||
\(426\) | −20.2332 | − | 62.2715i | −0.980303 | − | 3.01706i | ||||
\(427\) | −4.47993 | + | 3.25486i | −0.216799 | + | 0.157514i | ||||
\(428\) | 13.5951 | 0.657144 | ||||||||
\(429\) | 6.03248 | + | 0.317789i | 0.291251 | + | 0.0153430i | ||||
\(430\) | −62.2412 | −3.00154 | ||||||||
\(431\) | 5.93593 | − | 4.31271i | 0.285924 | − | 0.207736i | −0.435573 | − | 0.900153i | \(-0.643454\pi\) |
0.721497 | + | 0.692417i | \(0.243454\pi\) | |||||||
\(432\) | −2.50904 | − | 7.72204i | −0.120716 | − | 0.371527i | ||||
\(433\) | 10.9199 | − | 33.6080i | 0.524777 | − | 1.61510i | −0.239981 | − | 0.970778i | \(-0.577141\pi\) |
0.764757 | − | 0.644319i | \(-0.222859\pi\) | |||||||
\(434\) | −10.6740 | − | 7.75515i | −0.512371 | − | 0.372259i | ||||
\(435\) | −22.2502 | − | 16.1657i | −1.06682 | − | 0.775088i | ||||
\(436\) | −11.9815 | + | 36.8754i | −0.573812 | + | 1.76601i | ||||
\(437\) | −1.66164 | − | 5.11399i | −0.0794869 | − | 0.244636i | ||||
\(438\) | −17.5327 | + | 12.7382i | −0.837745 | + | 0.608657i | ||||
\(439\) | −22.2003 | −1.05956 | −0.529782 | − | 0.848134i | \(-0.677726\pi\) | ||||
−0.529782 | + | 0.848134i | \(0.677726\pi\) | |||||||
\(440\) | −6.83796 | − | 25.5473i | −0.325987 | − | 1.21792i | ||||
\(441\) | −1.85314 | −0.0882450 | ||||||||
\(442\) | 2.26205 | − | 1.64347i | 0.107595 | − | 0.0781721i | ||||
\(443\) | 2.29436 | + | 7.06133i | 0.109009 | + | 0.335494i | 0.990650 | − | 0.136425i | \(-0.0435614\pi\) |
−0.881642 | + | 0.471919i | \(0.843561\pi\) | |||||||
\(444\) | 19.9242 | − | 61.3203i | 0.945559 | − | 2.91013i | ||||
\(445\) | 23.0946 | + | 16.7792i | 1.09479 | + | 0.795411i | ||||
\(446\) | −3.94229 | − | 2.86424i | −0.186673 | − | 0.135626i | ||||
\(447\) | 4.06820 | − | 12.5206i | 0.192419 | − | 0.592206i | ||||
\(448\) | 3.89650 | + | 11.9922i | 0.184092 | + | 0.566577i | ||||
\(449\) | 12.9188 | − | 9.38605i | 0.609676 | − | 0.442955i | −0.239624 | − | 0.970866i | \(-0.577024\pi\) |
0.849300 | + | 0.527910i | \(0.177024\pi\) | |||||||
\(450\) | 0.331691 | 0.0156361 | ||||||||
\(451\) | −3.72517 | − | 3.01825i | −0.175411 | − | 0.142124i | ||||
\(452\) | 21.7698 | 1.02397 | ||||||||
\(453\) | −24.1837 | + | 17.5705i | −1.13625 | + | 0.825534i | ||||
\(454\) | −4.16991 | − | 12.8337i | −0.195703 | − | 0.602313i | ||||
\(455\) | −0.711179 | + | 2.18878i | −0.0333406 | + | 0.102612i | ||||
\(456\) | 5.65805 | + | 4.11082i | 0.264963 | + | 0.192507i | ||||
\(457\) | 19.2501 | + | 13.9860i | 0.900483 | + | 0.654239i | 0.938590 | − | 0.345034i | \(-0.112133\pi\) |
−0.0381068 | + | 0.999274i | \(0.512133\pi\) | |||||||
\(458\) | 8.60406 | − | 26.4806i | 0.402041 | − | 1.23736i | ||||
\(459\) | −1.78698 | − | 5.49977i | −0.0834092 | − | 0.256707i | ||||
\(460\) | 32.3509 | − | 23.5043i | 1.50837 | − | 1.09589i | ||||
\(461\) | −0.0626903 | −0.00291978 | −0.00145989 | − | 0.999999i | \(-0.500465\pi\) | ||||
−0.00145989 | + | 0.999999i | \(0.500465\pi\) | |||||||
\(462\) | 5.51715 | − | 14.3610i | 0.256681 | − | 0.668136i | ||||
\(463\) | −10.0284 | −0.466061 | −0.233031 | − | 0.972469i | \(-0.574864\pi\) | ||||
−0.233031 | + | 0.972469i | \(0.574864\pi\) | |||||||
\(464\) | −9.50900 | + | 6.90870i | −0.441444 | + | 0.320728i | ||||
\(465\) | 6.22509 | + | 19.1589i | 0.288682 | + | 0.888471i | ||||
\(466\) | −19.5296 | + | 60.1059i | −0.904691 | + | 2.78435i | ||||
\(467\) | 10.8660 | + | 7.89462i | 0.502819 | + | 0.365319i | 0.810093 | − | 0.586302i | \(-0.199417\pi\) |
−0.307274 | + | 0.951621i | \(0.599417\pi\) | |||||||
\(468\) | −0.919646 | − | 0.668162i | −0.0425107 | − | 0.0308858i | ||||
\(469\) | 1.59385 | − | 4.90537i | 0.0735973 | − | 0.226509i | ||||
\(470\) | −12.0564 | − | 37.1058i | −0.556120 | − | 1.71156i | ||||
\(471\) | −0.227254 | + | 0.165109i | −0.0104713 | + | 0.00760784i | ||||
\(472\) | −46.8697 | −2.15735 | ||||||||
\(473\) | −34.3330 | + | 22.2829i | −1.57863 | + | 1.02457i | ||||
\(474\) | 2.77994 | 0.127687 | ||||||||
\(475\) | 0.367864 | − | 0.267269i | 0.0168788 | − | 0.0122631i | ||||
\(476\) | −1.41189 | − | 4.34537i | −0.0647141 | − | 0.199169i | ||||
\(477\) | 0.750543 | − | 2.30993i | 0.0343650 | − | 0.105765i | ||||
\(478\) | 43.6289 | + | 31.6982i | 1.99554 | + | 1.44984i | ||||
\(479\) | 31.4286 | + | 22.8342i | 1.43601 | + | 1.04332i | 0.988858 | + | 0.148863i | \(0.0475614\pi\) |
0.447151 | + | 0.894458i | \(0.352439\pi\) | |||||||
\(480\) | 4.25885 | − | 13.1074i | 0.194389 | − | 0.598268i | ||||
\(481\) | 3.05471 | + | 9.40142i | 0.139283 | + | 0.428668i | ||||
\(482\) | −35.2286 | + | 25.5950i | −1.60462 | + | 1.16582i | ||||
\(483\) | 10.2700 | 0.467303 | ||||||||
\(484\) | −29.2593 | − | 26.3739i | −1.32997 | − | 1.19881i | ||||
\(485\) | 25.1728 | 1.14304 | ||||||||
\(486\) | −6.27935 | + | 4.56221i | −0.284837 | + | 0.206946i | ||||
\(487\) | 10.9921 | + | 33.8303i | 0.498102 | + | 1.53300i | 0.812067 | + | 0.583564i | \(0.198342\pi\) |
−0.313965 | + | 0.949434i | \(0.601658\pi\) | |||||||
\(488\) | 5.92889 | − | 18.2472i | 0.268388 | − | 0.826014i | ||||
\(489\) | 8.49569 | + | 6.17248i | 0.384188 | + | 0.279129i | ||||
\(490\) | −23.8201 | − | 17.3063i | −1.07608 | − | 0.781820i | ||||
\(491\) | −1.65232 | + | 5.08531i | −0.0745680 | + | 0.229497i | −0.981393 | − | 0.192011i | \(-0.938499\pi\) |
0.906825 | + | 0.421508i | \(0.138499\pi\) | |||||||
\(492\) | 2.91363 | + | 8.96724i | 0.131357 | + | 0.404275i | ||||
\(493\) | −6.77247 | + | 4.92049i | −0.305017 | + | 0.221608i | ||||
\(494\) | −2.42865 | −0.109270 | ||||||||
\(495\) | −1.88534 | + | 1.22363i | −0.0847399 | + | 0.0549981i | ||||
\(496\) | 8.60923 | 0.386566 | ||||||||
\(497\) | 13.2711 | − | 9.64199i | 0.595288 | − | 0.432502i | ||||
\(498\) | 0.605336 | + | 1.86303i | 0.0271257 | + | 0.0834845i | ||||
\(499\) | −0.659646 | + | 2.03018i | −0.0295298 | + | 0.0908834i | −0.964735 | − | 0.263222i | \(-0.915215\pi\) |
0.935205 | + | 0.354106i | \(0.115215\pi\) | |||||||
\(500\) | 33.6607 | + | 24.4559i | 1.50535 | + | 1.09370i | ||||
\(501\) | 29.4012 | + | 21.3612i | 1.31355 | + | 0.954349i | ||||
\(502\) | −8.75246 | + | 26.9373i | −0.390641 | + | 1.20227i | ||||
\(503\) | 4.94289 | + | 15.2127i | 0.220393 | + | 0.678299i | 0.998727 | + | 0.0504485i | \(0.0160651\pi\) |
−0.778334 | + | 0.627850i | \(0.783935\pi\) | |||||||
\(504\) | −1.03404 | + | 0.751273i | −0.0460597 | + | 0.0334643i | ||||
\(505\) | −13.5174 | −0.601518 | ||||||||
\(506\) | 14.6973 | − | 38.2567i | 0.653374 | − | 1.70072i | ||||
\(507\) | 1.82138 | 0.0808904 | ||||||||
\(508\) | −4.10322 | + | 2.98116i | −0.182051 | + | 0.132268i | ||||
\(509\) | −0.840055 | − | 2.58542i | −0.0372348 | − | 0.114597i | 0.930712 | − | 0.365754i | \(-0.119189\pi\) |
−0.967946 | + | 0.251157i | \(0.919189\pi\) | |||||||
\(510\) | −3.35970 | + | 10.3401i | −0.148770 | + | 0.457867i | ||||
\(511\) | −4.39252 | − | 3.19135i | −0.194314 | − | 0.141177i | ||||
\(512\) | −14.8081 | − | 10.7587i | −0.654430 | − | 0.475471i | ||||
\(513\) | −1.55218 | + | 4.77711i | −0.0685302 | + | 0.210914i | ||||
\(514\) | 4.40099 | + | 13.5449i | 0.194120 | + | 0.597438i | ||||
\(515\) | 6.64008 | − | 4.82430i | 0.292597 | − | 0.212584i | ||||
\(516\) | 80.4930 | 3.54351 | ||||||||
\(517\) | −19.9346 | − | 16.1517i | −0.876724 | − | 0.710351i | ||||
\(518\) | 25.1750 | 1.10612 | ||||||||
\(519\) | 17.5981 | − | 12.7857i | 0.772469 | − | 0.561232i | ||||
\(520\) | −2.46409 | − | 7.58368i | −0.108057 | − | 0.332567i | ||||
\(521\) | 2.17046 | − | 6.68000i | 0.0950898 | − | 0.292656i | −0.892187 | − | 0.451666i | \(-0.850830\pi\) |
0.987277 | + | 0.159009i | \(0.0508300\pi\) | |||||||
\(522\) | 4.29113 | + | 3.11769i | 0.187818 | + | 0.136458i | ||||
\(523\) | −32.5296 | − | 23.6341i | −1.42242 | − | 1.03345i | −0.991366 | − | 0.131123i | \(-0.958142\pi\) |
−0.431054 | − | 0.902326i | \(-0.641858\pi\) | |||||||
\(524\) | 5.91476 | − | 18.2038i | 0.258387 | − | 0.795235i | ||||
\(525\) | 0.268368 | + | 0.825951i | 0.0117125 | + | 0.0360475i | ||||
\(526\) | −17.7074 | + | 12.8652i | −0.772080 | + | 0.560949i | ||||
\(527\) | 6.13164 | 0.267098 | ||||||||
\(528\) | 2.59554 | + | 9.69722i | 0.112957 | + | 0.422017i | ||||
\(529\) | 4.35861 | 0.189505 | ||||||||
\(530\) | 31.2196 | − | 22.6824i | 1.35609 | − | 0.985260i | ||||
\(531\) | 1.23091 | + | 3.78835i | 0.0534170 | + | 0.164400i | ||||
\(532\) | −1.22637 | + | 3.77439i | −0.0531700 | + | 0.163641i | ||||
\(533\) | −1.16950 | − | 0.849690i | −0.0506566 | − | 0.0368042i | ||||
\(534\) | −46.5475 | − | 33.8188i | −2.01431 | − | 1.46348i | ||||
\(535\) | 2.50454 | − | 7.70818i | 0.108281 | − | 0.333253i | ||||
\(536\) | 5.52237 | + | 16.9961i | 0.238530 | + | 0.734120i | ||||
\(537\) | −4.95203 | + | 3.59786i | −0.213696 | + | 0.155259i | ||||
\(538\) | −21.7452 | −0.937504 | ||||||||
\(539\) | −19.3353 | − | 1.01858i | −0.832829 | − | 0.0438732i | ||||
\(540\) | −37.3537 | −1.60745 | ||||||||
\(541\) | 14.9189 | − | 10.8392i | 0.641415 | − | 0.466015i | −0.218921 | − | 0.975743i | \(-0.570254\pi\) |
0.860336 | + | 0.509727i | \(0.170254\pi\) | |||||||
\(542\) | −6.42048 | − | 19.7602i | −0.275783 | − | 0.848773i | ||||
\(543\) | −2.74935 | + | 8.46163i | −0.117986 | + | 0.363123i | ||||
\(544\) | −3.39376 | − | 2.46571i | −0.145506 | − | 0.105716i | ||||
\(545\) | 18.7004 | + | 13.5866i | 0.801037 | + | 0.581987i | ||||
\(546\) | 1.43339 | − | 4.41153i | 0.0613435 | − | 0.188796i | ||||
\(547\) | 4.30555 | + | 13.2511i | 0.184092 | + | 0.566577i | 0.999932 | − | 0.0117012i | \(-0.00372470\pi\) |
−0.815839 | + | 0.578279i | \(0.803725\pi\) | |||||||
\(548\) | −1.85607 | + | 1.34852i | −0.0792876 | + | 0.0576058i | ||||
\(549\) | −1.63058 | −0.0695916 | ||||||||
\(550\) | 3.46079 | + | 0.182313i | 0.147569 | + | 0.00777386i | ||||
\(551\) | 7.27127 | 0.309766 | ||||||||
\(552\) | −28.7877 | + | 20.9155i | −1.22529 | + | 0.890223i | ||||
\(553\) | 0.215220 | + | 0.662379i | 0.00915208 | + | 0.0281672i | ||||
\(554\) | 13.7999 | − | 42.4718i | 0.586302 | − | 1.80445i | ||||
\(555\) | −31.0970 | − | 22.5933i | −1.31999 | − | 0.959032i | ||||
\(556\) | 51.6937 | + | 37.5577i | 2.19230 | + | 1.59280i | ||||
\(557\) | 7.18803 | − | 22.1225i | 0.304567 | − | 0.937360i | −0.675272 | − | 0.737569i | \(-0.735974\pi\) |
0.979839 | − | 0.199791i | \(-0.0640264\pi\) | |||||||
\(558\) | −1.20056 | − | 3.69494i | −0.0508237 | − | 0.156419i | ||||
\(559\) | −9.98402 | + | 7.25381i | −0.422279 | + | 0.306804i | ||||
\(560\) | −3.82447 | −0.161613 | ||||||||
\(561\) | 1.84859 | + | 6.90652i | 0.0780475 | + | 0.291594i | ||||
\(562\) | −12.3954 | −0.522868 | ||||||||
\(563\) | 6.79763 | − | 4.93877i | 0.286486 | − | 0.208144i | −0.435256 | − | 0.900307i | \(-0.643342\pi\) |
0.721741 | + | 0.692163i | \(0.243342\pi\) | |||||||
\(564\) | 15.5919 | + | 47.9868i | 0.656536 | + | 2.02061i | ||||
\(565\) | 4.01052 | − | 12.3431i | 0.168724 | − | 0.519278i | ||||
\(566\) | −16.8574 | − | 12.2476i | −0.708568 | − | 0.514805i | ||||
\(567\) | −8.59183 | − | 6.24233i | −0.360823 | − | 0.262153i | ||||
\(568\) | −17.5634 | + | 54.0545i | −0.736943 | + | 2.26808i | ||||
\(569\) | 7.22637 | + | 22.2405i | 0.302945 | + | 0.932370i | 0.980436 | + | 0.196839i | \(0.0630675\pi\) |
−0.677491 | + | 0.735531i | \(0.736933\pi\) | |||||||
\(570\) | 7.64005 | − | 5.55082i | 0.320006 | − | 0.232498i | ||||
\(571\) | −11.1741 | −0.467623 | −0.233812 | − | 0.972282i | \(-0.575120\pi\) | ||||
−0.233812 | + | 0.972282i | \(0.575120\pi\) | |||||||
\(572\) | −9.22812 | − | 7.47693i | −0.385847 | − | 0.312626i | ||||
\(573\) | 43.3743 | 1.81199 | ||||||||
\(574\) | −2.97839 | + | 2.16393i | −0.124316 | + | 0.0903205i | ||||
\(575\) | 0.714912 | + | 2.20027i | 0.0298139 | + | 0.0917577i | ||||
\(576\) | −1.14737 | + | 3.53124i | −0.0478071 | + | 0.147135i | ||||
\(577\) | −25.5100 | − | 18.5341i | −1.06199 | − | 0.771584i | −0.0875383 | − | 0.996161i | \(-0.527900\pi\) |
−0.974456 | + | 0.224577i | \(0.927900\pi\) | |||||||
\(578\) | −29.8138 | − | 21.6610i | −1.24009 | − | 0.900980i | ||||
\(579\) | −11.5640 | + | 35.5903i | −0.480583 | + | 1.47908i | ||||
\(580\) | 16.7097 | + | 51.4270i | 0.693831 | + | 2.13539i | ||||
\(581\) | −0.397042 | + | 0.288468i | −0.0164721 | + | 0.0119677i | ||||
\(582\) | −50.7363 | −2.10309 | ||||||||
\(583\) | 9.10064 | − | 23.6888i | 0.376910 | − | 0.981089i | ||||
\(584\) | 18.8119 | 0.778444 | ||||||||
\(585\) | −0.548257 | + | 0.398332i | −0.0226676 | + | 0.0164690i | ||||
\(586\) | −7.06443 | − | 21.7421i | −0.291829 | − | 0.898157i | ||||
\(587\) | −2.92217 | + | 8.99352i | −0.120611 | + | 0.371202i | −0.993076 | − | 0.117474i | \(-0.962520\pi\) |
0.872465 | + | 0.488677i | \(0.162520\pi\) | |||||||
\(588\) | 30.8052 | + | 22.3813i | 1.27039 | + | 0.922989i | ||||
\(589\) | −4.30878 | − | 3.13051i | −0.177540 | − | 0.128991i | ||||
\(590\) | −19.5570 | + | 60.1904i | −0.805151 | + | 2.47800i | ||||
\(591\) | 8.70444 | + | 26.7895i | 0.358053 | + | 1.10197i | ||||
\(592\) | −13.2898 | + | 9.65562i | −0.546208 | + | 0.396843i | ||||
\(593\) | −29.0535 | −1.19308 | −0.596541 | − | 0.802582i | \(-0.703459\pi\) | ||||
−0.596541 | + | 0.802582i | \(0.703459\pi\) | |||||||
\(594\) | −32.1124 | + | 20.8417i | −1.31759 | + | 0.855145i | ||||
\(595\) | −2.72385 | −0.111667 | ||||||||
\(596\) | −20.9405 | + | 15.2141i | −0.857755 | + | 0.623196i | ||||
\(597\) | −12.0094 | − | 36.9612i | −0.491514 | − | 1.51272i | ||||
\(598\) | 3.81845 | − | 11.7520i | 0.156148 | − | 0.480574i | ||||
\(599\) | −24.4131 | − | 17.7372i | −0.997492 | − | 0.724721i | −0.0359432 | − | 0.999354i | \(-0.511444\pi\) |
−0.961549 | + | 0.274633i | \(0.911444\pi\) | |||||||
\(600\) | −2.43435 | − | 1.76866i | −0.0993820 | − | 0.0722052i | ||||
\(601\) | 3.14377 | − | 9.67553i | 0.128237 | − | 0.394673i | −0.866240 | − | 0.499628i | \(-0.833470\pi\) |
0.994477 | + | 0.104955i | \(0.0334699\pi\) | |||||||
\(602\) | 9.71207 | + | 29.8907i | 0.395834 | + | 1.21825i | ||||
\(603\) | 1.22872 | − | 0.892717i | 0.0500374 | − | 0.0363543i | ||||
\(604\) | 58.7725 | 2.39142 | ||||||||
\(605\) | −20.3438 | + | 11.7308i | −0.827092 | + | 0.476924i | ||||
\(606\) | 27.2446 | 1.10674 | ||||||||
\(607\) | 9.31195 | − | 6.76553i | 0.377960 | − | 0.274604i | −0.382544 | − | 0.923937i | \(-0.624952\pi\) |
0.760504 | + | 0.649333i | \(0.224952\pi\) | |||||||
\(608\) | 1.12597 | + | 3.46537i | 0.0456640 | + | 0.140539i | ||||
\(609\) | −4.29151 | + | 13.2079i | −0.173901 | + | 0.535212i | ||||
\(610\) | −20.9593 | − | 15.2278i | −0.848618 | − | 0.616557i | ||||
\(611\) | −6.25839 | − | 4.54699i | −0.253187 | − | 0.183951i | ||||
\(612\) | 0.415750 | − | 1.27955i | 0.0168057 | − | 0.0517226i | ||||
\(613\) | −0.0545547 | − | 0.167902i | −0.00220344 | − | 0.00678151i | 0.949949 | − | 0.312406i | \(-0.101135\pi\) |
−0.952152 | + | 0.305624i | \(0.901135\pi\) | |||||||
\(614\) | 48.0802 | − | 34.9323i | 1.94036 | − | 1.40975i | ||||
\(615\) | 5.62103 | 0.226662 | ||||||||
\(616\) | −11.2018 | + | 7.27024i | −0.451335 | + | 0.292926i | ||||
\(617\) | 14.4909 | 0.583380 | 0.291690 | − | 0.956513i | \(-0.405782\pi\) | ||||
0.291690 | + | 0.956513i | \(0.405782\pi\) | |||||||
\(618\) | −13.3832 | + | 9.72346i | −0.538351 | + | 0.391135i | ||||
\(619\) | 5.10756 | + | 15.7195i | 0.205290 | + | 0.631818i | 0.999701 | + | 0.0244379i | \(0.00777961\pi\) |
−0.794411 | + | 0.607380i | \(0.792220\pi\) | |||||||
\(620\) | 12.2392 | − | 37.6685i | 0.491540 | − | 1.51280i | ||||
\(621\) | −20.6755 | − | 15.0216i | −0.829680 | − | 0.602797i | ||||
\(622\) | −55.6709 | − | 40.4473i | −2.23220 | − | 1.62179i | ||||
\(623\) | 4.45437 | − | 13.7091i | 0.178461 | − | 0.549245i | ||||
\(624\) | 0.935315 | + | 2.87860i | 0.0374426 | + | 0.115236i | ||||
\(625\) | 18.2780 | − | 13.2797i | 0.731119 | − | 0.531189i | ||||
\(626\) | 53.5342 | 2.13966 | ||||||||
\(627\) | 2.22710 | − | 5.79710i | 0.0889419 | − | 0.231514i | ||||
\(628\) | 0.552283 | 0.0220385 | ||||||||
\(629\) | −9.46523 | + | 6.87689i | −0.377403 | + | 0.274200i | ||||
\(630\) | 0.533323 | + | 1.64140i | 0.0212481 | + | 0.0653949i | ||||
\(631\) | 0.761555 | − | 2.34383i | 0.0303170 | − | 0.0933062i | −0.934753 | − | 0.355298i | \(-0.884379\pi\) |
0.965070 | + | 0.261992i | \(0.0843794\pi\) | |||||||
\(632\) | −1.95225 | − | 1.41839i | −0.0776563 | − | 0.0564206i | ||||
\(633\) | −5.39503 | − | 3.91972i | −0.214433 | − | 0.155795i | ||||
\(634\) | −5.00470 | + | 15.4029i | −0.198762 | + | 0.611726i | ||||
\(635\) | 0.934355 | + | 2.87565i | 0.0370788 | + | 0.114117i | ||||
\(636\) | −40.3746 | + | 29.3339i | −1.60096 | + | 1.16316i | ||||
\(637\) | −5.83789 | −0.231306 | ||||||||
\(638\) | 43.0590 | + | 34.8879i | 1.70472 | + | 1.38122i | ||||
\(639\) | 4.83034 | 0.191085 | ||||||||
\(640\) | −35.4828 | + | 25.7798i | −1.40258 | + | 1.01904i | ||||
\(641\) | 1.31383 | + | 4.04355i | 0.0518931 | + | 0.159711i | 0.973645 | − | 0.228070i | \(-0.0732416\pi\) |
−0.921751 | + | 0.387781i | \(0.873242\pi\) | |||||||
\(642\) | −5.04794 | + | 15.5360i | −0.199226 | + | 0.613155i | ||||
\(643\) | 1.68448 | + | 1.22384i | 0.0664293 | + | 0.0482637i | 0.620504 | − | 0.784203i | \(-0.286928\pi\) |
−0.554075 | + | 0.832467i | \(0.686928\pi\) | |||||||
\(644\) | −16.3357 | − | 11.8686i | −0.643717 | − | 0.467688i | ||||
\(645\) | 14.8287 | − | 45.6381i | 0.583880 | − | 1.79700i | ||||
\(646\) | −0.888246 | − | 2.73374i | −0.0349476 | − | 0.107558i | ||||
\(647\) | 19.8136 | − | 14.3954i | 0.778953 | − | 0.565942i | −0.125712 | − | 0.992067i | \(-0.540121\pi\) |
0.904665 | + | 0.426125i | \(0.140121\pi\) | |||||||
\(648\) | 36.7964 | 1.44550 | ||||||||
\(649\) | 10.7608 | + | 40.2033i | 0.422397 | + | 1.57812i | ||||
\(650\) | 1.04491 | 0.0409849 | ||||||||
\(651\) | 8.22948 | − | 5.97907i | 0.322539 | − | 0.234338i | ||||
\(652\) | −6.38016 | − | 19.6361i | −0.249866 | − | 0.769010i | ||||
\(653\) | 2.10334 | − | 6.47340i | 0.0823099 | − | 0.253324i | −0.901429 | − | 0.432926i | \(-0.857481\pi\) |
0.983739 | + | 0.179602i | \(0.0574811\pi\) | |||||||
\(654\) | −37.6910 | − | 27.3841i | −1.47383 | − | 1.07080i | ||||
\(655\) | −9.23156 | − | 6.70712i | −0.360707 | − | 0.262069i | ||||
\(656\) | 0.742333 | − | 2.28467i | 0.0289832 | − | 0.0892012i | ||||
\(657\) | −0.494047 | − | 1.52052i | −0.0192746 | − | 0.0593211i | ||||
\(658\) | −15.9384 | + | 11.5799i | −0.621343 | + | 0.451432i | ||||
\(659\) | −43.2019 | −1.68291 | −0.841453 | − | 0.540331i | \(-0.818299\pi\) | ||||
−0.841453 | + | 0.540331i | \(0.818299\pi\) | |||||||
\(660\) | 46.1188 | + | 2.42952i | 1.79517 | + | 0.0945690i | ||||
\(661\) | −24.8882 | −0.968040 | −0.484020 | − | 0.875057i | \(-0.660824\pi\) | ||||
−0.484020 | + | 0.875057i | \(0.660824\pi\) | |||||||
\(662\) | −3.58808 | + | 2.60689i | −0.139455 | + | 0.101320i | ||||
\(663\) | 0.666147 | + | 2.05019i | 0.0258710 | + | 0.0796228i | ||||
\(664\) | 0.525459 | − | 1.61720i | 0.0203918 | − | 0.0627594i | ||||
\(665\) | 1.91408 | + | 1.39066i | 0.0742250 | + | 0.0539276i | ||||
\(666\) | 5.99730 | + | 4.35730i | 0.232391 | + | 0.168842i | ||||
\(667\) | −11.4323 | + | 35.1849i | −0.442659 | + | 1.36237i | ||||
\(668\) | −22.0800 | − | 67.9551i | −0.854299 | − | 2.62926i | ||||
\(669\) | 3.03943 | − | 2.20827i | 0.117511 | − | 0.0853768i | ||||
\(670\) | 24.1308 | 0.932255 | ||||||||
\(671\) | −17.0131 | − | 0.896245i | −0.656784 | − | 0.0345992i | ||||
\(672\) | −6.95924 | −0.268458 | ||||||||
\(673\) | −5.09736 | + | 3.70345i | −0.196489 | + | 0.142757i | −0.681679 | − | 0.731651i | \(-0.738750\pi\) |
0.485191 | + | 0.874408i | \(0.338750\pi\) | |||||||
\(674\) | −24.6499 | − | 75.8646i | −0.949479 | − | 2.92220i | ||||
\(675\) | 0.667816 | − | 2.05533i | 0.0257043 | − | 0.0791096i | ||||
\(676\) | −2.89712 | − | 2.10488i | −0.111428 | − | 0.0809571i | ||||
\(677\) | 39.2169 | + | 28.4928i | 1.50723 | + | 1.09507i | 0.967388 | + | 0.253298i | \(0.0815153\pi\) |
0.539840 | + | 0.841768i | \(0.318485\pi\) | |||||||
\(678\) | −8.08326 | + | 24.8777i | −0.310436 | + | 0.955423i | ||||
\(679\) | −3.92795 | − | 12.0890i | −0.150741 | − | 0.463933i | ||||
\(680\) | 7.63516 | − | 5.54727i | 0.292795 | − | 0.212728i | ||||
\(681\) | 10.4037 | 0.398670 | ||||||||
\(682\) | −10.4954 | − | 39.2120i | −0.401891 | − | 1.50151i | ||||
\(683\) | 27.0779 | 1.03611 | 0.518054 | − | 0.855348i | \(-0.326657\pi\) | ||||
0.518054 | + | 0.855348i | \(0.326657\pi\) | |||||||
\(684\) | −0.945426 | + | 0.686892i | −0.0361493 | + | 0.0262640i | ||||
\(685\) | 0.422652 | + | 1.30079i | 0.0161487 | + | 0.0497006i | ||||
\(686\) | −10.1032 | + | 31.0944i | −0.385741 | + | 1.18719i | ||||
\(687\) | 17.3669 | + | 12.6178i | 0.662588 | + | 0.481398i | ||||
\(688\) | −16.5913 | − | 12.0543i | −0.632536 | − | 0.459564i | ||||
\(689\) | 2.36441 | − | 7.27689i | 0.0900767 | − | 0.277228i | ||||
\(690\) | 14.8478 | + | 45.6967i | 0.565244 | + | 1.73964i | ||||
\(691\) | 25.6831 | − | 18.6598i | 0.977030 | − | 0.709854i | 0.0199870 | − | 0.999800i | \(-0.493638\pi\) |
0.957043 | + | 0.289946i | \(0.0936375\pi\) | |||||||
\(692\) | −42.7677 | −1.62578 | ||||||||
\(693\) | 0.881822 | + | 0.714482i | 0.0334977 | + | 0.0271409i | ||||
\(694\) | 51.0488 | 1.93779 | ||||||||
\(695\) | 30.8177 | − | 22.3904i | 1.16898 | − | 0.849316i | ||||
\(696\) | −14.8692 | − | 45.7627i | −0.563616 | − | 1.73463i | ||||
\(697\) | 0.528702 | − | 1.62718i | 0.0200260 | − | 0.0616337i | ||||
\(698\) | −49.1103 | − | 35.6807i | −1.85885 | − | 1.35053i | ||||
\(699\) | −39.4196 | − | 28.6400i | −1.49098 | − | 1.08326i | ||||
\(700\) | 0.527641 | − | 1.62391i | 0.0199430 | − | 0.0613781i | ||||
\(701\) | −1.80963 | − | 5.56946i | −0.0683486 | − | 0.210355i | 0.911048 | − | 0.412299i | \(-0.135274\pi\) |
−0.979397 | + | 0.201944i | \(0.935274\pi\) | |||||||
\(702\) | −9.33828 | + | 6.78466i | −0.352451 | + | 0.256070i | ||||
\(703\) | 10.1623 | 0.383280 | ||||||||
\(704\) | −13.9123 | + | 36.2135i | −0.524341 | + | 1.36485i | ||||
\(705\) | 30.0801 | 1.13288 | ||||||||
\(706\) | 24.5405 | − | 17.8297i | 0.923595 | − | 0.671031i | ||||
\(707\) | 2.10925 | + | 6.49160i | 0.0793265 | + | 0.244142i | ||||
\(708\) | 25.2920 | − | 77.8408i | 0.950532 | − | 2.92544i | ||||
\(709\) | 37.0559 | + | 26.9227i | 1.39166 | + | 1.01110i | 0.995681 | + | 0.0928428i | \(0.0295954\pi\) |
0.395981 | + | 0.918259i | \(0.370405\pi\) | |||||||
\(710\) | 62.0886 | + | 45.1100i | 2.33014 | + | 1.69295i | ||||
\(711\) | −0.0633742 | + | 0.195046i | −0.00237672 | + | 0.00731478i | ||||
\(712\) | 15.4335 | + | 47.4994i | 0.578394 | + | 1.78011i | ||||
\(713\) | 21.9227 | − | 15.9278i | 0.821012 | − | 0.596500i | ||||
\(714\) | 5.48996 | 0.205457 | ||||||||
\(715\) | −5.93932 | + | 3.85475i | −0.222118 | + | 0.144160i | ||||
\(716\) | 12.0347 | 0.449756 | ||||||||
\(717\) | −33.6370 | + | 24.4387i | −1.25620 | + | 0.912681i | ||||
\(718\) | 11.8664 | + | 36.5211i | 0.442852 | + | 1.36296i | ||||
\(719\) | −5.82741 | + | 17.9349i | −0.217326 | + | 0.668859i | 0.781655 | + | 0.623711i | \(0.214376\pi\) |
−0.998980 | + | 0.0451480i | \(0.985624\pi\) | |||||||
\(720\) | −0.911083 | − | 0.661941i | −0.0339541 | − | 0.0246691i | ||||
\(721\) | −3.35293 | − | 2.43605i | −0.124870 | − | 0.0907232i | ||||
\(722\) | 13.0990 | − | 40.3146i | 0.487495 | − | 1.50036i | ||||
\(723\) | −10.3744 | − | 31.9291i | −0.385828 | − | 1.18746i | ||||
\(724\) | 14.1519 | − | 10.2819i | 0.525950 | − | 0.382125i | ||||
\(725\) | −3.12843 | −0.116187 | ||||||||
\(726\) | 41.0032 | − | 23.6436i | 1.52177 | − | 0.877496i | ||||
\(727\) | −18.7319 | −0.694727 | −0.347363 | − | 0.937731i | \(-0.612923\pi\) | ||||
−0.347363 | + | 0.937731i | \(0.612923\pi\) | |||||||
\(728\) | −3.25749 | + | 2.36670i | −0.120731 | + | 0.0877159i | ||||
\(729\) | 7.28368 | + | 22.4169i | 0.269766 | + | 0.830254i | ||||
\(730\) | 7.84955 | − | 24.1584i | 0.290525 | − | 0.894144i | ||||
\(731\) | −11.8166 | − | 8.58525i | −0.437052 | − | 0.317537i | ||||
\(732\) | 27.1055 | + | 19.6933i | 1.00185 | + | 0.727886i | ||||
\(733\) | −0.861473 | + | 2.65134i | −0.0318192 | + | 0.0979295i | −0.965705 | − | 0.259642i | \(-0.916395\pi\) |
0.933886 | + | 0.357572i | \(0.116395\pi\) | |||||||
\(734\) | −1.37601 | − | 4.23491i | −0.0507893 | − | 0.156313i | ||||
\(735\) | 18.3648 | − | 13.3428i | 0.677397 | − | 0.492158i | ||||
\(736\) | −18.5389 | −0.683352 | ||||||||
\(737\) | 13.3109 | − | 8.63904i | 0.490312 | − | 0.318223i | ||||
\(738\) | −1.08406 | −0.0399048 | ||||||||
\(739\) | −8.97530 | + | 6.52094i | −0.330162 | + | 0.239877i | −0.740499 | − | 0.672057i | \(-0.765411\pi\) |
0.410337 | + | 0.911934i | \(0.365411\pi\) | |||||||
\(740\) | 23.3535 | + | 71.8746i | 0.858491 | + | 2.64216i | ||||
\(741\) | 0.578616 | − | 1.78080i | 0.0212560 | − | 0.0654192i | ||||
\(742\) | −15.7645 | − | 11.4535i | −0.578731 | − | 0.420473i | ||||
\(743\) | −18.4611 | − | 13.4128i | −0.677271 | − | 0.492066i | 0.195180 | − | 0.980767i | \(-0.437471\pi\) |
−0.872451 | + | 0.488701i | \(0.837471\pi\) | |||||||
\(744\) | −10.8912 | + | 33.5196i | −0.399290 | + | 1.22889i | ||||
\(745\) | 4.76842 | + | 14.6757i | 0.174701 | + | 0.537675i | ||||
\(746\) | 38.6891 | − | 28.1093i | 1.41651 | − | 1.02915i | ||||
\(747\) | −0.144514 | −0.00528748 | ||||||||
\(748\) | 5.04113 | − | 13.1220i | 0.184322 | − | 0.479787i | ||||
\(749\) | −4.09257 | −0.149539 | ||||||||
\(750\) | −40.4457 | + | 29.3855i | −1.47687 | + | 1.07301i | ||||
\(751\) | 3.82642 | + | 11.7765i | 0.139628 | + | 0.429731i | 0.996281 | − | 0.0861620i | \(-0.0274603\pi\) |
−0.856653 | + | 0.515893i | \(0.827460\pi\) | |||||||
\(752\) | 3.97248 | − | 12.2260i | 0.144861 | − | 0.445837i | ||||
\(753\) | −17.6664 | − | 12.8354i | −0.643800 | − | 0.467748i | ||||
\(754\) | 13.5182 | + | 9.82154i | 0.492303 | + | 0.357679i | ||||
\(755\) | 10.8273 | − | 33.3229i | 0.394045 | − | 1.21275i | ||||
\(756\) | 5.82864 | + | 17.9387i | 0.211986 | + | 0.652425i | ||||
\(757\) | 10.0637 | − | 7.31173i | 0.365773 | − | 0.265749i | −0.389683 | − | 0.920949i | \(-0.627415\pi\) |
0.755456 | + | 0.655200i | \(0.227415\pi\) | |||||||
\(758\) | −62.7328 | −2.27856 | ||||||||
\(759\) | 24.5500 | + | 19.8912i | 0.891109 | + | 0.722006i | ||||
\(760\) | −8.19749 | −0.297354 | ||||||||
\(761\) | −34.6120 | + | 25.1471i | −1.25468 | + | 0.911581i | −0.998484 | − | 0.0550435i | \(-0.982470\pi\) |
−0.256199 | + | 0.966624i | \(0.582470\pi\) | |||||||
\(762\) | −1.88321 | − | 5.79592i | −0.0682214 | − | 0.209964i | ||||
\(763\) | 3.60684 | − | 11.1007i | 0.130576 | − | 0.401873i | ||||
\(764\) | −68.9919 | − | 50.1256i | −2.49604 | − | 1.81348i | ||||
\(765\) | −0.648889 | − | 0.471445i | −0.0234606 | − | 0.0170451i | ||||
\(766\) | −1.68050 | + | 5.17204i | −0.0607188 | + | 0.186873i | ||||
\(767\) | 3.87769 | + | 11.9343i | 0.140015 | + | 0.430922i | ||||
\(768\) | 37.0450 | − | 26.9148i | 1.33675 | − | 0.971203i | ||||
\(769\) | 3.24436 | 0.116994 | 0.0584972 | − | 0.998288i | \(-0.481369\pi\) | ||||
0.0584972 | + | 0.998288i | \(0.481369\pi\) | |||||||
\(770\) | 4.66237 | + | 17.4191i | 0.168020 | + | 0.627741i | ||||
\(771\) | −10.9802 | −0.395444 | ||||||||
\(772\) | 59.5239 | − | 43.2466i | 2.14231 | − | 1.55648i | ||||
\(773\) | −2.56930 | − | 7.90749i | −0.0924113 | − | 0.284413i | 0.894159 | − | 0.447749i | \(-0.147774\pi\) |
−0.986570 | + | 0.163337i | \(0.947774\pi\) | |||||||
\(774\) | −2.85984 | + | 8.80167i | −0.102795 | + | 0.316370i | ||||
\(775\) | 1.85383 | + | 1.34689i | 0.0665916 | + | 0.0483816i | ||||
\(776\) | 35.6302 | + | 25.8869i | 1.27905 | + | 0.929285i | ||||
\(777\) | −5.99784 | + | 18.4594i | −0.215171 | + | 0.662229i | ||||
\(778\) | 23.5774 | + | 72.5638i | 0.845291 | + | 2.60154i | ||||
\(779\) | −1.20228 | + | 0.873510i | −0.0430762 | + | 0.0312967i | ||||
\(780\) | 13.9246 | 0.498581 | ||||||||
\(781\) | 50.3986 | + | 2.65498i | 1.80340 | + | 0.0950027i | ||||
\(782\) | 14.6248 | 0.522983 | ||||||||
\(783\) | 27.9584 | − | 20.3130i | 0.999152 | − | 0.725926i | ||||
\(784\) | −2.99787 | − | 9.22649i | −0.107067 | − | 0.329517i | ||||
\(785\) | 0.101744 | − | 0.313134i | 0.00363138 | − | 0.0111762i | ||||
\(786\) | 18.6064 | + | 13.5183i | 0.663667 | + | 0.482182i | ||||
\(787\) | 9.93935 | + | 7.22136i | 0.354299 | + | 0.257414i | 0.750670 | − | 0.660677i | \(-0.229731\pi\) |
−0.396371 | + | 0.918090i | \(0.629731\pi\) | |||||||
\(788\) | 17.1139 | − | 52.6712i | 0.609658 | − | 1.87633i | ||||
\(789\) | −5.21463 | − | 16.0490i | −0.185646 | − | 0.571359i | ||||
\(790\) | −2.63611 | + | 1.91525i | −0.0937887 | + | 0.0681415i | ||||
\(791\) | −6.55344 | −0.233013 | ||||||||
\(792\) | −3.92690 | − | 0.206868i | −0.139536 | − | 0.00735072i | ||||
\(793\) | −5.13676 | −0.182412 | ||||||||
\(794\) | −37.2995 | + | 27.0997i | −1.32371 | + | 0.961732i | ||||
\(795\) | 9.19382 | + | 28.2957i | 0.326071 | + | 1.00354i | ||||
\(796\) | −23.6119 | + | 72.6700i | −0.836902 | + | 2.57572i | ||||
\(797\) | 8.01025 | + | 5.81979i | 0.283738 | + | 0.206147i | 0.720546 | − | 0.693407i | \(-0.243891\pi\) |
−0.436808 | + | 0.899555i | \(0.643891\pi\) | |||||||
\(798\) | −3.85787 | − | 2.80291i | −0.136567 | − | 0.0992218i | ||||
\(799\) | 2.82927 | − | 8.70758i | 0.100092 | − | 0.308052i | ||||
\(800\) | −0.484442 | − | 1.49096i | −0.0171276 | − | 0.0527134i | ||||
\(801\) | 3.43393 | − | 2.49490i | 0.121332 | − | 0.0881528i | ||||
\(802\) | 38.6505 | 1.36480 | ||||||||
\(803\) | −4.31902 | − | 16.1363i | −0.152415 | − | 0.569437i | ||||
\(804\) | −31.2070 | −1.10059 | ||||||||
\(805\) | −9.73870 | + | 7.07558i | −0.343244 | + | 0.249381i | ||||
\(806\) | −3.78207 | − | 11.6400i | −0.133218 | − | 0.410002i | ||||
\(807\) | 5.18072 | − | 15.9446i | 0.182370 | − | 0.561277i | ||||
\(808\) | −19.1329 | − | 13.9009i | −0.673093 | − | 0.489031i | ||||
\(809\) | −21.9721 | − | 15.9637i | −0.772498 | − | 0.561253i | 0.130220 | − | 0.991485i | \(-0.458432\pi\) |
−0.902718 | + | 0.430233i | \(0.858432\pi\) | |||||||
\(810\) | 15.3538 | − | 47.2542i | 0.539479 | − | 1.66034i | ||||
\(811\) | −14.4497 | − | 44.4716i | −0.507398 | − | 1.56161i | −0.796702 | − | 0.604373i | \(-0.793424\pi\) |
0.289304 | − | 0.957237i | \(-0.406576\pi\) | |||||||
\(812\) | 22.0899 | − | 16.0493i | 0.775204 | − | 0.563219i | ||||
\(813\) | 16.0187 | 0.561802 | ||||||||
\(814\) | 60.1795 | + | 48.7594i | 2.10929 | + | 1.70902i | ||||
\(815\) | −12.3087 | −0.431155 | ||||||||
\(816\) | −2.89814 | + | 2.10562i | −0.101455 | + | 0.0737116i | ||||
\(817\) | 3.92046 | + | 12.0659i | 0.137160 | + | 0.422134i | ||||
\(818\) | 2.79888 | − | 8.61407i | 0.0978606 | − | 0.301184i | ||||
\(819\) | 0.276844 | + | 0.201139i | 0.00967371 | + | 0.00702836i | ||||
\(820\) | −8.94091 | − | 6.49595i | −0.312230 | − | 0.226848i | ||||
\(821\) | −11.4073 | + | 35.1079i | −0.398116 | + | 1.22528i | 0.528392 | + | 0.849001i | \(0.322795\pi\) |
−0.926508 | + | 0.376275i | \(0.877205\pi\) | |||||||
\(822\) | −0.851862 | − | 2.62176i | −0.0297121 | − | 0.0914445i | ||||
\(823\) | −42.5735 | + | 30.9315i | −1.48402 | + | 1.07820i | −0.507785 | + | 0.861484i | \(0.669536\pi\) |
−0.976234 | + | 0.216719i | \(0.930464\pi\) | |||||||
\(824\) | 14.3597 | 0.500243 | ||||||||
\(825\) | −0.958200 | + | 2.49418i | −0.0333603 | + | 0.0868361i | ||||
\(826\) | 31.9574 | 1.11194 | ||||||||
\(827\) | 15.2315 | − | 11.0663i | 0.529651 | − | 0.384814i | −0.290576 | − | 0.956852i | \(-0.593847\pi\) |
0.820227 | + | 0.572038i | \(0.193847\pi\) | |||||||
\(828\) | −1.83735 | − | 5.65479i | −0.0638524 | − | 0.196518i | ||||
\(829\) | −8.65374 | + | 26.6335i | −0.300557 | + | 0.925019i | 0.680741 | + | 0.732524i | \(0.261658\pi\) |
−0.981298 | + | 0.192495i | \(0.938342\pi\) | |||||||
\(830\) | −1.85756 | − | 1.34960i | −0.0644769 | − | 0.0468452i | ||||
\(831\) | 27.8545 | + | 20.2375i | 0.966261 | + | 0.702030i | ||||
\(832\) | −3.61452 | + | 11.1243i | −0.125311 | + | 0.385667i | ||||
\(833\) | −2.13513 | − | 6.57126i | −0.0739779 | − | 0.227681i | ||||
\(834\) | −62.1137 | + | 45.1282i | −2.15082 | + | 1.56266i | ||||
\(835\) | −42.5970 | −1.47413 | ||||||||
\(836\) | −10.2419 | + | 6.64722i | −0.354224 | + | 0.229899i | ||||
\(837\) | −25.3129 | −0.874941 | ||||||||
\(838\) | −59.5536 | + | 43.2682i | −2.05724 | + | 1.49468i | ||||
\(839\) | −4.34360 | − | 13.3682i | −0.149958 | − | 0.461522i | 0.847657 | − | 0.530544i | \(-0.178012\pi\) |
−0.997615 | + | 0.0690216i | \(0.978012\pi\) | |||||||
\(840\) | 4.83817 | − | 14.8904i | 0.166933 | − | 0.513766i | ||||
\(841\) | −17.0114 | − | 12.3595i | −0.586599 | − | 0.426189i | ||||
\(842\) | −6.63701 | − | 4.82207i | −0.228727 | − | 0.166180i | ||||
\(843\) | 2.95316 | − | 9.08888i | 0.101712 | − | 0.313038i | ||||
\(844\) | 4.05161 | + | 12.4696i | 0.139462 | + | 0.429220i | ||||
\(845\) | −1.72715 | + | 1.25485i | −0.0594158 | + | 0.0431681i | ||||
\(846\) | −5.80118 | −0.199449 | ||||||||
\(847\) | 8.80801 | + | 7.93942i | 0.302647 | + | 0.272802i | ||||
\(848\) | 12.7149 | 0.436633 | ||||||||
\(849\) | 12.9967 | − | 9.44266i | 0.446046 | − | 0.324071i | ||||
\(850\) | 0.382164 | + | 1.17618i | 0.0131081 | + | 0.0403426i | ||||
\(851\) | −15.9778 | + | 49.1746i | −0.547711 | + | 1.68568i | ||||
\(852\) | −80.2957 | − | 58.3383i | −2.75089 | − | 1.99864i | ||||
\(853\) | −40.3398 | − | 29.3086i | −1.38121 | − | 1.00351i | −0.996766 | − | 0.0803584i | \(-0.974394\pi\) |
−0.384443 | − | 0.923149i | \(-0.625606\pi\) | |||||||
\(854\) | −4.04253 | + | 12.4416i | −0.138333 | + | 0.425744i | ||||
\(855\) | 0.215286 | + | 0.662582i | 0.00736262 | + | 0.0226598i | ||||
\(856\) | 11.4718 | − | 8.33475i | 0.392098 | − | 0.284876i | ||||
\(857\) | −43.3736 | −1.48161 | −0.740807 | − | 0.671718i | \(-0.765557\pi\) | ||||
−0.740807 | + | 0.671718i | \(0.765557\pi\) | |||||||
\(858\) | 11.9708 | − | 7.76931i | 0.408676 | − | 0.265240i | ||||
\(859\) | −7.89562 | −0.269395 | −0.134698 | − | 0.990887i | \(-0.543006\pi\) | ||||
−0.134698 | + | 0.990887i | \(0.543006\pi\) | |||||||
\(860\) | −76.3286 | + | 55.4560i | −2.60278 | + | 1.89103i | ||||
\(861\) | −0.877101 | − | 2.69944i | −0.0298915 | − | 0.0919966i | ||||
\(862\) | 5.35638 | − | 16.4852i | 0.182439 | − | 0.561490i | ||||
\(863\) | 10.8409 | + | 7.87638i | 0.369029 | + | 0.268115i | 0.756808 | − | 0.653637i | \(-0.226758\pi\) |
−0.387779 | + | 0.921752i | \(0.626758\pi\) | |||||||
\(864\) | 14.0102 | + | 10.1790i | 0.476638 | + | 0.346298i | ||||
\(865\) | −7.87882 | + | 24.2485i | −0.267888 | + | 0.824474i | ||||
\(866\) | −25.7974 | − | 79.3963i | −0.876632 | − | 2.69799i | ||||
\(867\) | 22.9859 | − | 16.7002i | 0.780642 | − | 0.567170i | ||||
\(868\) | −19.9997 | −0.678834 | ||||||||
\(869\) | −0.768437 | + | 2.00023i | −0.0260674 | + | 0.0678530i | ||||
\(870\) | −64.9732 | −2.20280 | ||||||||
\(871\) | 3.87079 | − | 2.81229i | 0.131157 | − | 0.0952909i | ||||
\(872\) | 12.4970 | + | 38.4617i | 0.423200 | + | 1.30248i | ||||
\(873\) | 1.15663 | − | 3.55975i | 0.0391461 | − | 0.120479i | ||||
\(874\) | −10.2771 | − | 7.46673i | −0.347627 | − | 0.252566i | ||||
\(875\) | −10.1330 | − | 7.36204i | −0.342557 | − | 0.248882i | ||||
\(876\) | −10.1514 | + | 31.2427i | −0.342983 | + | 1.05559i | ||||
\(877\) | −12.3547 | − | 38.0238i | −0.417188 | − | 1.28397i | −0.910279 | − | 0.413996i | \(-0.864133\pi\) |
0.493090 | − | 0.869978i | \(-0.335867\pi\) | |||||||
\(878\) | −42.4301 | + | 30.8273i | −1.43195 | + | 1.04037i | ||||
\(879\) | 17.6254 | 0.594489 | ||||||||
\(880\) | −9.14219 | − | 7.40731i | −0.308183 | − | 0.249700i | ||||
\(881\) | 21.3954 | 0.720828 | 0.360414 | − | 0.932792i | \(-0.382635\pi\) | ||||
0.360414 | + | 0.932792i | \(0.382635\pi\) | |||||||
\(882\) | −3.54181 | + | 2.57327i | −0.119259 | + | 0.0866466i | ||||
\(883\) | −6.91058 | − | 21.2686i | −0.232559 | − | 0.715744i | −0.997436 | − | 0.0715673i | \(-0.977200\pi\) |
0.764876 | − | 0.644177i | \(-0.222800\pi\) | |||||||
\(884\) | 1.30972 | − | 4.03090i | 0.0440506 | − | 0.135574i | ||||
\(885\) | −39.4750 | − | 28.6802i | −1.32694 | − | 0.964076i | ||||
\(886\) | 14.1904 | + | 10.3099i | 0.476737 | + | 0.346369i | ||||
\(887\) | −13.7026 | + | 42.1723i | −0.460089 | + | 1.41601i | 0.404967 | + | 0.914331i | \(0.367283\pi\) |
−0.865055 | + | 0.501676i | \(0.832717\pi\) | |||||||
\(888\) | −20.7813 | − | 63.9582i | −0.697374 | − | 2.14630i | ||||
\(889\) | 1.23520 | − | 0.897428i | 0.0414274 | − | 0.0300988i | ||||
\(890\) | 67.4389 | 2.26056 | ||||||||
\(891\) | −8.44806 | − | 31.5628i | −0.283021 | − | 1.05739i | ||||
\(892\) | −7.38657 | −0.247321 | ||||||||
\(893\) | −6.43383 | + | 4.67445i | −0.215300 | + | 0.156424i | ||||
\(894\) | −9.61082 | − | 29.5791i | −0.321434 | − | 0.989272i | ||||
\(895\) | 2.21707 | − | 6.82344i | 0.0741085 | − | 0.228082i | ||||
\(896\) | 17.9172 | + | 13.0176i | 0.598571 | + | 0.434887i | ||||
\(897\) | 7.70736 | + | 5.59973i | 0.257341 | + | 0.186969i | ||||
\(898\) | 11.6575 | − | 35.8780i | 0.389015 | − | 1.19726i | ||||
\(899\) | 11.3234 | + | 34.8497i | 0.377655 | + | 1.16230i | ||||
\(900\) | 0.406765 | − | 0.295532i | 0.0135588 | − | 0.00985107i | ||||
\(901\) | 9.05579 | 0.301692 | ||||||||
\(902\) | −11.3108 | − | 0.595850i | −0.376609 | − | 0.0198396i | ||||
\(903\) | −24.2311 | −0.806360 | ||||||||
\(904\) | 18.3698 | − | 13.3464i | 0.610970 | − | 0.443896i | ||||
\(905\) | −3.22256 | − | 9.91803i | −0.107122 | − | 0.329686i | ||||
\(906\) | −21.8225 | + | 67.1629i | −0.725006 | + | 2.23134i | ||||
\(907\) | 6.29318 | + | 4.57226i | 0.208962 | + | 0.151820i | 0.687344 | − | 0.726332i | \(-0.258777\pi\) |
−0.478382 | + | 0.878152i | \(0.658777\pi\) | |||||||
\(908\) | −16.5483 | − | 12.0230i | −0.549175 | − | 0.398999i | ||||
\(909\) | −0.621094 | + | 1.91153i | −0.0206004 | + | 0.0634015i | ||||
\(910\) | 1.68011 | + | 5.17083i | 0.0556950 | + | 0.171411i | ||||
\(911\) | −21.4734 | + | 15.6013i | −0.711445 | + | 0.516895i | −0.883640 | − | 0.468168i | \(-0.844914\pi\) |
0.172194 | + | 0.985063i | \(0.444914\pi\) | |||||||
\(912\) | 3.11159 | 0.103035 | ||||||||
\(913\) | −1.50782 | − | 0.0794315i | −0.0499016 | − | 0.00262880i | ||||
\(914\) | 56.2126 | 1.85935 | ||||||||
\(915\) | 16.1592 | − | 11.7404i | 0.534208 | − | 0.388125i | ||||
\(916\) | −13.0423 | − | 40.1402i | −0.430931 | − | 1.32627i | ||||
\(917\) | −1.78054 | + | 5.47993i | −0.0587986 | + | 0.180963i | ||||
\(918\) | −11.0523 | − | 8.02998i | −0.364781 | − | 0.265029i | ||||
\(919\) | −16.6734 | − | 12.1139i | −0.550004 | − | 0.399601i | 0.277783 | − | 0.960644i | \(-0.410400\pi\) |
−0.827787 | + | 0.561042i | \(0.810400\pi\) | |||||||
\(920\) | 12.8885 | − | 39.6668i | 0.424922 | − | 1.30778i | ||||
\(921\) | 14.1590 | + | 43.5771i | 0.466557 | + | 1.43591i | ||||
\(922\) | −0.119816 | + | 0.0870516i | −0.00394594 | + | 0.00286689i | ||||
\(923\) | 15.2168 | 0.500868 | ||||||||
\(924\) | −6.02959 | − | 22.5272i | −0.198359 | − | 0.741089i | ||||
\(925\) | −4.37230 | −0.143760 | ||||||||
\(926\) | −19.1668 | + | 13.9255i | −0.629859 | + | 0.457619i | ||||
\(927\) | −0.377120 | − | 1.16066i | −0.0123862 | − | 0.0381209i | ||||
\(928\) | 7.74680 | − | 23.8422i | 0.254301 | − | 0.782658i | ||||
\(929\) | 31.8394 | + | 23.1327i | 1.04462 | + | 0.758959i | 0.971182 | − | 0.238341i | \(-0.0766035\pi\) |
0.0734362 | + | 0.997300i | \(0.476603\pi\) | |||||||
\(930\) | 38.5016 | + | 27.9731i | 1.26252 | + | 0.917273i | ||||
\(931\) | −1.85458 | + | 5.70780i | −0.0607813 | + | 0.187066i | ||||
\(932\) | 29.6036 | + | 91.1106i | 0.969699 | + | 2.98443i | ||||
\(933\) | 42.9212 | − | 31.1841i | 1.40518 | − | 1.02092i | ||||
\(934\) | 31.7300 | 1.03824 | ||||||||
\(935\) | −6.51122 | − | 5.27561i | −0.212940 | − | 0.172531i | ||||
\(936\) | −1.18565 | −0.0387540 | ||||||||
\(937\) | −24.7633 | + | 17.9916i | −0.808980 | + | 0.587759i | −0.913535 | − | 0.406761i | \(-0.866658\pi\) |
0.104555 | + | 0.994519i | \(0.466658\pi\) | |||||||
\(938\) | −3.76535 | − | 11.5886i | −0.122943 | − | 0.378380i | ||||
\(939\) | −12.7543 | + | 39.2537i | −0.416221 | + | 1.28100i | ||||
\(940\) | −47.8459 | − | 34.7621i | −1.56056 | − | 1.13381i | ||||
\(941\) | 40.9751 | + | 29.7702i | 1.33575 | + | 0.970479i | 0.999589 | + | 0.0286748i | \(0.00912873\pi\) |
0.336161 | + | 0.941804i | \(0.390871\pi\) | |||||||
\(942\) | −0.205066 | + | 0.631127i | −0.00668140 | + | 0.0205632i | ||||
\(943\) | −2.33653 | − | 7.19110i | −0.0760879 | − | 0.234174i | ||||
\(944\) | −16.8703 | + | 12.2570i | −0.549081 | + | 0.398931i | ||||
\(945\) | 11.2447 | 0.365790 | ||||||||
\(946\) | −34.6767 | + | 90.2627i | −1.12744 | + | 2.93469i | ||||
\(947\) | 33.0294 | 1.07331 | 0.536655 | − | 0.843802i | \(-0.319688\pi\) | ||||
0.536655 | + | 0.843802i | \(0.319688\pi\) | |||||||
\(948\) | 3.40914 | − | 2.47688i | 0.110724 | − | 0.0804454i | ||||
\(949\) | −1.55638 | − | 4.79003i | −0.0505221 | − | 0.155491i | ||||
\(950\) | 0.331948 | − | 1.02163i | 0.0107698 | − | 0.0331461i | ||||
\(951\) | −10.1017 | − | 7.33935i | −0.327572 | − | 0.237995i | ||||
\(952\) | −3.85540 | − | 2.80111i | −0.124954 | − | 0.0907846i | ||||
\(953\) | 4.09683 | − | 12.6088i | 0.132709 | − | 0.408438i | −0.862517 | − | 0.506028i | \(-0.831113\pi\) |
0.995227 | + | 0.0975899i | \(0.0311133\pi\) | |||||||
\(954\) | −1.77310 | − | 5.45704i | −0.0574063 | − | 0.176678i | ||||
\(955\) | −41.1302 | + | 29.8829i | −1.33094 | + | 0.966987i | ||||
\(956\) | 81.7463 | 2.64386 | ||||||||
\(957\) | −35.8400 | + | 23.2610i | −1.15854 | + | 0.751921i | ||||
\(958\) | 91.7751 | 2.96512 | ||||||||
\(959\) | 0.558740 | − | 0.405948i | 0.0180427 | − | 0.0131088i | ||||
\(960\) | −14.0548 | − | 43.2562i | −0.453616 | − | 1.39609i | ||||
\(961\) | −1.28557 | + | 3.95657i | −0.0414699 | + | 0.127631i | ||||
\(962\) | 18.8931 | + | 13.7266i | 0.609137 | + | 0.442564i | ||||
\(963\) | −0.974954 | − | 0.708345i | −0.0314174 | − | 0.0228261i | ||||
\(964\) | −20.3972 | + | 62.7762i | −0.656951 | + | 2.02189i | ||||
\(965\) | −13.5544 | − | 41.7160i | −0.436330 | − | 1.34289i | ||||
\(966\) | 19.6285 | − | 14.2609i | 0.631537 | − | 0.458838i | ||||
\(967\) | 12.3240 | 0.396314 | 0.198157 | − | 0.980170i | \(-0.436504\pi\) | ||||
0.198157 | + | 0.980170i | \(0.436504\pi\) | |||||||
\(968\) | −40.8586 | − | 4.31681i | −1.31325 | − | 0.138748i | ||||
\(969\) | 2.21613 | 0.0711922 | ||||||||
\(970\) | 48.1113 | − | 34.9549i | 1.54476 | − | 1.12234i | ||||
\(971\) | 14.4307 | + | 44.4130i | 0.463102 | + | 1.42528i | 0.861354 | + | 0.508005i | \(0.169617\pi\) |
−0.398252 | + | 0.917276i | \(0.630383\pi\) | |||||||
\(972\) | −3.63573 | + | 11.1896i | −0.116616 | + | 0.358907i | ||||
\(973\) | −15.5615 | − | 11.3061i | −0.498880 | − | 0.362457i | ||||
\(974\) | 67.9854 | + | 49.3942i | 2.17839 | + | 1.58269i | ||||
\(975\) | −0.248947 | + | 0.766179i | −0.00797268 | + | 0.0245374i | ||||
\(976\) | −2.63783 | − | 8.11839i | −0.0844347 | − | 0.259863i | ||||
\(977\) | −22.6496 | + | 16.4559i | −0.724625 | + | 0.526471i | −0.887859 | − | 0.460116i | \(-0.847808\pi\) |
0.163233 | + | 0.986588i | \(0.447808\pi\) | |||||||
\(978\) | 24.8084 | 0.793285 | ||||||||
\(979\) | 37.2001 | − | 24.1437i | 1.18892 | − | 0.771636i | ||||
\(980\) | −44.6311 | −1.42569 | ||||||||
\(981\) | 2.78056 | − | 2.02019i | 0.0887764 | − | 0.0644998i | ||||
\(982\) | 3.90347 | + | 12.0137i | 0.124565 | + | 0.383371i | ||||
\(983\) | 2.45340 | − | 7.55079i | 0.0782514 | − | 0.240833i | −0.904277 | − | 0.426947i | \(-0.859589\pi\) |
0.982528 | + | 0.186114i | \(0.0595893\pi\) | |||||||
\(984\) | 7.95614 | + | 5.78047i | 0.253632 | + | 0.184275i | ||||
\(985\) | −26.7108 | − | 19.4066i | −0.851078 | − | 0.618344i | ||||
\(986\) | −6.11124 | + | 18.8085i | −0.194622 | + | 0.598984i | ||||
\(987\) | −4.69367 | − | 14.4456i | −0.149401 | − | 0.459809i | ||||
\(988\) | −2.97834 | + | 2.16389i | −0.0947536 | + | 0.0688425i | ||||
\(989\) | −64.5498 | −2.05256 | ||||||||
\(990\) | −1.90421 | + | 4.95663i | −0.0605199 | + | 0.157532i | ||||
\(991\) | 30.0106 | 0.953317 | 0.476659 | − | 0.879089i | \(-0.341848\pi\) | ||||
0.476659 | + | 0.879089i | \(0.341848\pi\) | |||||||
\(992\) | −14.8554 | + | 10.7931i | −0.471659 | + | 0.342680i | ||||
\(993\) | −1.05665 | − | 3.25202i | −0.0335317 | − | 0.103200i | ||||
\(994\) | 11.9753 | − | 36.8563i | 0.379835 | − | 1.16901i | ||||
\(995\) | 36.8527 | + | 26.7751i | 1.16831 | + | 0.848826i | ||||
\(996\) | 2.40228 | + | 1.74536i | 0.0761191 | + | 0.0553038i | ||||
\(997\) | 6.40082 | − | 19.6997i | 0.202716 | − | 0.623896i | −0.797083 | − | 0.603869i | \(-0.793625\pi\) |
0.999799 | − | 0.0200267i | \(-0.00637513\pi\) | |||||||
\(998\) | 1.55836 | + | 4.79615i | 0.0493291 | + | 0.151819i | ||||
\(999\) | 39.0748 | − | 28.3895i | 1.23627 | − | 0.898203i |
(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 | 143.2.h.c.14.7 | ✓ | 28 | |
11.2 | odd | 10 | 1573.2.a.r.1.13 | 14 | |||
11.4 | even | 5 | inner | 143.2.h.c.92.7 | yes | 28 | |
11.9 | even | 5 | 1573.2.a.s.1.2 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.2.h.c.14.7 | ✓ | 28 | 1.1 | even | 1 | trivial | |
143.2.h.c.92.7 | yes | 28 | 11.4 | even | 5 | inner | |
1573.2.a.r.1.13 | 14 | 11.2 | odd | 10 | |||
1573.2.a.s.1.2 | 14 | 11.9 | even | 5 |