Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(66,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.66");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.k (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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 66.12 | ||
Character | \(\chi\) | \(=\) | 403.66 |
Dual form | 403.2.k.d.287.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.774730 | + | 2.38437i | 0.547817 | + | 1.68601i | 0.714196 | + | 0.699946i | \(0.246792\pi\) |
−0.166379 | + | 0.986062i | \(0.553208\pi\) | |||||||
\(3\) | 0.754027 | − | 2.32066i | 0.435337 | − | 1.33983i | −0.457403 | − | 0.889260i | \(-0.651220\pi\) |
0.892740 | − | 0.450571i | \(-0.148780\pi\) | |||||||
\(4\) | −3.46700 | + | 2.51892i | −1.73350 | + | 1.25946i | ||||
\(5\) | −0.580097 | −0.259427 | −0.129714 | − | 0.991551i | \(-0.541406\pi\) | ||||
−0.129714 | + | 0.991551i | \(0.541406\pi\) | |||||||
\(6\) | 6.11748 | 2.49745 | ||||||||
\(7\) | 3.63826 | − | 2.64335i | 1.37513 | − | 0.999093i | 0.377818 | − | 0.925880i | \(-0.376675\pi\) |
0.997316 | − | 0.0732134i | \(-0.0233254\pi\) | |||||||
\(8\) | −4.63551 | − | 3.36789i | −1.63890 | − | 1.19073i | ||||
\(9\) | −2.38983 | − | 1.73632i | −0.796611 | − | 0.578772i | ||||
\(10\) | −0.449419 | − | 1.38317i | −0.142119 | − | 0.437397i | ||||
\(11\) | 2.18159 | − | 1.58502i | 0.657775 | − | 0.477901i | −0.208136 | − | 0.978100i | \(-0.566740\pi\) |
0.865911 | + | 0.500199i | \(0.166740\pi\) | |||||||
\(12\) | 3.23134 | + | 9.94505i | 0.932808 | + | 2.87089i | ||||
\(13\) | −0.309017 | + | 0.951057i | −0.0857059 | + | 0.263776i | ||||
\(14\) | 9.12142 | + | 6.62710i | 2.43780 | + | 1.77117i | ||||
\(15\) | −0.437409 | + | 1.34621i | −0.112938 | + | 0.347589i | ||||
\(16\) | 1.79050 | − | 5.51059i | 0.447625 | − | 1.37765i | ||||
\(17\) | 3.15365 | + | 2.29126i | 0.764872 | + | 0.555712i | 0.900401 | − | 0.435061i | \(-0.143273\pi\) |
−0.135529 | + | 0.990773i | \(0.543273\pi\) | |||||||
\(18\) | 2.28855 | − | 7.04344i | 0.539417 | − | 1.66015i | ||||
\(19\) | −0.0984697 | − | 0.303059i | −0.0225905 | − | 0.0695264i | 0.939126 | − | 0.343574i | \(-0.111638\pi\) |
−0.961716 | + | 0.274047i | \(0.911638\pi\) | |||||||
\(20\) | 2.01120 | − | 1.46122i | 0.449718 | − | 0.326739i | ||||
\(21\) | −3.39096 | − | 10.4363i | −0.739969 | − | 2.27739i | ||||
\(22\) | 5.46942 | + | 3.97377i | 1.16609 | + | 0.847210i | ||||
\(23\) | −1.78316 | − | 1.29554i | −0.371814 | − | 0.270138i | 0.386149 | − | 0.922436i | \(-0.373805\pi\) |
−0.757963 | + | 0.652298i | \(0.773805\pi\) | |||||||
\(24\) | −11.3110 | + | 8.21794i | −2.30885 | + | 1.67748i | ||||
\(25\) | −4.66349 | −0.932697 | ||||||||
\(26\) | −2.50708 | −0.491679 | ||||||||
\(27\) | 0.0908121 | − | 0.0659788i | 0.0174768 | − | 0.0126976i | ||||
\(28\) | −5.95546 | + | 18.3290i | −1.12548 | + | 3.46386i | ||||
\(29\) | 1.54665 | + | 4.76009i | 0.287205 | + | 0.883926i | 0.985729 | + | 0.168339i | \(0.0538405\pi\) |
−0.698524 | + | 0.715586i | \(0.746160\pi\) | |||||||
\(30\) | −3.54873 | −0.647907 | ||||||||
\(31\) | 4.10580 | + | 3.76064i | 0.737424 | + | 0.675431i | ||||
\(32\) | 3.06686 | 0.542149 | ||||||||
\(33\) | −2.03330 | − | 6.25787i | −0.353953 | − | 1.08936i | ||||
\(34\) | −3.01999 | + | 9.29458i | −0.517925 | + | 1.59401i | ||||
\(35\) | −2.11055 | + | 1.53340i | −0.356747 | + | 0.259192i | ||||
\(36\) | 12.6592 | 2.10987 | ||||||||
\(37\) | −9.52894 | −1.56655 | −0.783274 | − | 0.621676i | \(-0.786452\pi\) | ||||
−0.783274 | + | 0.621676i | \(0.786452\pi\) | |||||||
\(38\) | 0.646318 | − | 0.469578i | 0.104847 | − | 0.0761755i | ||||
\(39\) | 1.97407 | + | 1.43424i | 0.316104 | + | 0.229663i | ||||
\(40\) | 2.68905 | + | 1.95371i | 0.425176 | + | 0.308908i | ||||
\(41\) | −0.674840 | − | 2.07694i | −0.105392 | − | 0.324364i | 0.884430 | − | 0.466673i | \(-0.154547\pi\) |
−0.989822 | + | 0.142309i | \(0.954547\pi\) | |||||||
\(42\) | 22.2570 | − | 16.1707i | 3.43433 | − | 2.49519i | ||||
\(43\) | 0.100737 | + | 0.310037i | 0.0153622 | + | 0.0472801i | 0.958444 | − | 0.285281i | \(-0.0920871\pi\) |
−0.943082 | + | 0.332562i | \(0.892087\pi\) | |||||||
\(44\) | −3.57104 | + | 10.9905i | −0.538354 | + | 1.65688i | ||||
\(45\) | 1.38634 | + | 1.00723i | 0.206663 | + | 0.150149i | ||||
\(46\) | 1.70758 | − | 5.25540i | 0.251770 | − | 0.774867i | ||||
\(47\) | 1.22316 | − | 3.76450i | 0.178416 | − | 0.549109i | −0.821357 | − | 0.570415i | \(-0.806782\pi\) |
0.999773 | + | 0.0213061i | \(0.00678247\pi\) | |||||||
\(48\) | −11.4381 | − | 8.31026i | −1.65095 | − | 1.19948i | ||||
\(49\) | 4.08652 | − | 12.5770i | 0.583789 | − | 1.79672i | ||||
\(50\) | −3.61294 | − | 11.1195i | −0.510948 | − | 1.57253i | ||||
\(51\) | 7.69516 | − | 5.59086i | 1.07754 | − | 0.782877i | ||||
\(52\) | −1.32428 | − | 4.07570i | −0.183644 | − | 0.565199i | ||||
\(53\) | 3.45265 | + | 2.50850i | 0.474258 | + | 0.344568i | 0.799098 | − | 0.601200i | \(-0.205311\pi\) |
−0.324841 | + | 0.945769i | \(0.605311\pi\) | |||||||
\(54\) | 0.227673 | + | 0.165414i | 0.0309824 | + | 0.0225100i | ||||
\(55\) | −1.26554 | + | 0.919465i | −0.170645 | + | 0.123981i | ||||
\(56\) | −25.7677 | −3.44336 | ||||||||
\(57\) | −0.777544 | −0.102988 | ||||||||
\(58\) | −10.1516 | + | 7.37557i | −1.33297 | + | 0.968459i | ||||
\(59\) | −2.90453 | + | 8.93924i | −0.378138 | + | 1.16379i | 0.563199 | + | 0.826321i | \(0.309571\pi\) |
−0.941337 | + | 0.337468i | \(0.890429\pi\) | |||||||
\(60\) | −1.87449 | − | 5.76910i | −0.241996 | − | 0.744787i | ||||
\(61\) | −15.5061 | −1.98535 | −0.992675 | − | 0.120817i | \(-0.961448\pi\) | ||||
−0.992675 | + | 0.120817i | \(0.961448\pi\) | |||||||
\(62\) | −5.78588 | + | 12.7032i | −0.734808 | + | 1.61331i | ||||
\(63\) | −13.2845 | −1.67369 | ||||||||
\(64\) | −1.20501 | − | 3.70864i | −0.150626 | − | 0.463580i | ||||
\(65\) | 0.179260 | − | 0.551705i | 0.0222345 | − | 0.0684306i | ||||
\(66\) | 13.3458 | − | 9.69632i | 1.64276 | − | 1.19353i | ||||
\(67\) | 11.2995 | 1.38045 | 0.690225 | − | 0.723595i | \(-0.257512\pi\) | ||||
0.690225 | + | 0.723595i | \(0.257512\pi\) | |||||||
\(68\) | −16.7052 | −2.02580 | ||||||||
\(69\) | −4.35105 | + | 3.16122i | −0.523804 | + | 0.380566i | ||||
\(70\) | −5.29131 | − | 3.84436i | −0.632432 | − | 0.459489i | ||||
\(71\) | −2.80376 | − | 2.03705i | −0.332745 | − | 0.241753i | 0.408849 | − | 0.912602i | \(-0.365930\pi\) |
−0.741594 | + | 0.670848i | \(0.765930\pi\) | |||||||
\(72\) | 5.23037 | + | 16.0974i | 0.616405 | + | 1.89710i | ||||
\(73\) | −5.38953 | + | 3.91573i | −0.630797 | + | 0.458301i | −0.856676 | − | 0.515854i | \(-0.827475\pi\) |
0.225879 | + | 0.974155i | \(0.427475\pi\) | |||||||
\(74\) | −7.38236 | − | 22.7206i | −0.858182 | − | 2.64121i | ||||
\(75\) | −3.51639 | + | 10.8223i | −0.406038 | + | 1.24966i | ||||
\(76\) | 1.10478 | + | 0.802667i | 0.126727 | + | 0.0920722i | ||||
\(77\) | 3.74744 | − | 11.5334i | 0.427060 | − | 1.31436i | ||||
\(78\) | −1.89040 | + | 5.81807i | −0.214046 | + | 0.658767i | ||||
\(79\) | −7.76287 | − | 5.64005i | −0.873391 | − | 0.634556i | 0.0581039 | − | 0.998311i | \(-0.481495\pi\) |
−0.931495 | + | 0.363755i | \(0.881495\pi\) | |||||||
\(80\) | −1.03866 | + | 3.19668i | −0.116126 | + | 0.357399i | ||||
\(81\) | −2.82315 | − | 8.68875i | −0.313683 | − | 0.965417i | ||||
\(82\) | 4.42939 | − | 3.21814i | 0.489144 | − | 0.355384i | ||||
\(83\) | 1.44496 | + | 4.44712i | 0.158605 | + | 0.488135i | 0.998508 | − | 0.0546006i | \(-0.0173886\pi\) |
−0.839904 | + | 0.542736i | \(0.817389\pi\) | |||||||
\(84\) | 38.0448 | + | 27.6411i | 4.15102 | + | 3.01589i | ||||
\(85\) | −1.82942 | − | 1.32915i | −0.198429 | − | 0.144167i | ||||
\(86\) | −0.661199 | + | 0.480390i | −0.0712990 | + | 0.0518017i | ||||
\(87\) | 12.2127 | 1.30934 | ||||||||
\(88\) | −15.4510 | −1.64708 | ||||||||
\(89\) | −6.22820 | + | 4.52506i | −0.660188 | + | 0.479655i | −0.866727 | − | 0.498784i | \(-0.833780\pi\) |
0.206538 | + | 0.978439i | \(0.433780\pi\) | |||||||
\(90\) | −1.32758 | + | 4.08588i | −0.139939 | + | 0.430689i | ||||
\(91\) | 1.38969 | + | 4.27703i | 0.145679 | + | 0.448355i | ||||
\(92\) | 9.44557 | 0.984768 | ||||||||
\(93\) | 11.8230 | − | 6.69253i | 1.22599 | − | 0.693983i | ||||
\(94\) | 9.92360 | 1.02354 | ||||||||
\(95\) | 0.0571220 | + | 0.175804i | 0.00586060 | + | 0.0180371i | ||||
\(96\) | 2.31249 | − | 7.11712i | 0.236018 | − | 0.726388i | ||||
\(97\) | −11.4387 | + | 8.31069i | −1.16142 | + | 0.843822i | −0.989957 | − | 0.141368i | \(-0.954850\pi\) |
−0.171465 | + | 0.985190i | \(0.554850\pi\) | |||||||
\(98\) | 33.1543 | 3.34909 | ||||||||
\(99\) | −7.96574 | −0.800587 | ||||||||
\(100\) | 16.1683 | − | 11.7470i | 1.61683 | − | 1.17470i | ||||
\(101\) | 11.1778 | + | 8.12115i | 1.11223 | + | 0.808085i | 0.983014 | − | 0.183531i | \(-0.0587528\pi\) |
0.129220 | + | 0.991616i | \(0.458753\pi\) | |||||||
\(102\) | 19.2924 | + | 14.0167i | 1.91023 | + | 1.38786i | ||||
\(103\) | −6.00333 | − | 18.4763i | −0.591525 | − | 1.82053i | −0.571314 | − | 0.820732i | \(-0.693566\pi\) |
−0.0202116 | − | 0.999796i | \(-0.506434\pi\) | |||||||
\(104\) | 4.63551 | − | 3.36789i | 0.454549 | − | 0.330249i | ||||
\(105\) | 1.96709 | + | 6.05408i | 0.191968 | + | 0.590817i | ||||
\(106\) | −3.30632 | + | 10.1758i | −0.321138 | + | 0.988363i | ||||
\(107\) | 12.0970 | + | 8.78898i | 1.16946 | + | 0.849663i | 0.990944 | − | 0.134274i | \(-0.0428702\pi\) |
0.178517 | + | 0.983937i | \(0.442870\pi\) | |||||||
\(108\) | −0.148650 | + | 0.457497i | −0.0143038 | + | 0.0440227i | ||||
\(109\) | −2.01568 | + | 6.20362i | −0.193067 | + | 0.594199i | 0.806927 | + | 0.590651i | \(0.201129\pi\) |
−0.999994 | + | 0.00354726i | \(0.998871\pi\) | |||||||
\(110\) | −3.17280 | − | 2.30517i | −0.302514 | − | 0.219790i | ||||
\(111\) | −7.18508 | + | 22.1134i | −0.681977 | + | 2.09891i | ||||
\(112\) | −8.05213 | − | 24.7819i | −0.760854 | − | 2.34167i | ||||
\(113\) | 14.4919 | − | 10.5290i | 1.36328 | − | 0.990483i | 0.365054 | − | 0.930986i | \(-0.381050\pi\) |
0.998229 | − | 0.0594965i | \(-0.0189495\pi\) | |||||||
\(114\) | −0.602387 | − | 1.85396i | −0.0564187 | − | 0.173639i | ||||
\(115\) | 1.03440 | + | 0.751538i | 0.0964587 | + | 0.0700813i | ||||
\(116\) | −17.3525 | − | 12.6073i | −1.61114 | − | 1.17056i | ||||
\(117\) | 2.38983 | − | 1.73632i | 0.220940 | − | 0.160522i | ||||
\(118\) | −23.5647 | −2.16931 | ||||||||
\(119\) | 17.5304 | 1.60701 | ||||||||
\(120\) | 6.56149 | − | 4.76720i | 0.598979 | − | 0.435184i | ||||
\(121\) | −1.15213 | + | 3.54589i | −0.104739 | + | 0.322354i | ||||
\(122\) | −12.0130 | − | 36.9723i | −1.08761 | − | 3.34731i | ||||
\(123\) | −5.32872 | −0.480474 | ||||||||
\(124\) | −23.7076 | − | 2.69594i | −2.12900 | − | 0.242103i | ||||
\(125\) | 5.60576 | 0.501395 | ||||||||
\(126\) | −10.2919 | − | 31.6753i | −0.916879 | − | 2.82186i | ||||
\(127\) | 1.79558 | − | 5.52624i | 0.159332 | − | 0.490374i | −0.839242 | − | 0.543759i | \(-0.817001\pi\) |
0.998574 | + | 0.0533840i | \(0.0170007\pi\) | |||||||
\(128\) | 12.8715 | − | 9.35170i | 1.13769 | − | 0.826582i | ||||
\(129\) | 0.795447 | 0.0700352 | ||||||||
\(130\) | 1.45435 | 0.127555 | ||||||||
\(131\) | −11.9133 | + | 8.65552i | −1.04087 | + | 0.756236i | −0.970455 | − | 0.241281i | \(-0.922432\pi\) |
−0.0704150 | + | 0.997518i | \(0.522432\pi\) | |||||||
\(132\) | 22.8126 | + | 16.5743i | 1.98558 | + | 1.44261i | ||||
\(133\) | −1.15935 | − | 0.842317i | −0.100528 | − | 0.0730381i | ||||
\(134\) | 8.75404 | + | 26.9422i | 0.756233 | + | 2.32745i | ||||
\(135\) | −0.0526798 | + | 0.0382741i | −0.00453396 | + | 0.00329411i | ||||
\(136\) | −6.90204 | − | 21.2423i | −0.591845 | − | 1.82151i | ||||
\(137\) | −1.63967 | + | 5.04640i | −0.140087 | + | 0.431143i | −0.996347 | − | 0.0854027i | \(-0.972782\pi\) |
0.856260 | + | 0.516546i | \(0.172782\pi\) | |||||||
\(138\) | −10.9084 | − | 7.92543i | −0.928586 | − | 0.674657i | ||||
\(139\) | −3.84550 | + | 11.8352i | −0.326171 | + | 1.00385i | 0.644738 | + | 0.764404i | \(0.276966\pi\) |
−0.970909 | + | 0.239448i | \(0.923034\pi\) | |||||||
\(140\) | 3.45474 | − | 10.6326i | 0.291979 | − | 0.898620i | ||||
\(141\) | −7.81381 | − | 5.67707i | −0.658042 | − | 0.478095i | ||||
\(142\) | 2.68493 | − | 8.26338i | 0.225315 | − | 0.693447i | ||||
\(143\) | 0.833294 | + | 2.56461i | 0.0696835 | + | 0.214464i | ||||
\(144\) | −13.8471 | + | 10.0605i | −1.15393 | + | 0.838377i | ||||
\(145\) | −0.897205 | − | 2.76131i | −0.0745088 | − | 0.229315i | ||||
\(146\) | −13.5120 | − | 9.81704i | −1.11826 | − | 0.812464i | ||||
\(147\) | −26.1056 | − | 18.9668i | −2.15315 | − | 1.56436i | ||||
\(148\) | 33.0369 | − | 24.0027i | 2.71561 | − | 1.97301i | ||||
\(149\) | 15.1230 | 1.23892 | 0.619461 | − | 0.785027i | \(-0.287351\pi\) | ||||
0.619461 | + | 0.785027i | \(0.287351\pi\) | |||||||
\(150\) | −28.5288 | −2.32937 | ||||||||
\(151\) | −9.71001 | + | 7.05473i | −0.790189 | + | 0.574106i | −0.908020 | − | 0.418928i | \(-0.862406\pi\) |
0.117831 | + | 0.993034i | \(0.462406\pi\) | |||||||
\(152\) | −0.564212 | + | 1.73647i | −0.0457637 | + | 0.140846i | ||||
\(153\) | −3.55834 | − | 10.9515i | −0.287675 | − | 0.885373i | ||||
\(154\) | 30.4033 | 2.44997 | ||||||||
\(155\) | −2.38176 | − | 2.18154i | −0.191308 | − | 0.175225i | ||||
\(156\) | −10.4568 | −0.837218 | ||||||||
\(157\) | 4.01237 | + | 12.3488i | 0.320222 | + | 0.985542i | 0.973551 | + | 0.228468i | \(0.0733717\pi\) |
−0.653329 | + | 0.757074i | \(0.726628\pi\) | |||||||
\(158\) | 7.43387 | − | 22.8791i | 0.591407 | − | 1.82016i | ||||
\(159\) | 8.42474 | − | 6.12093i | 0.668126 | − | 0.485422i | ||||
\(160\) | −1.77908 | −0.140648 | ||||||||
\(161\) | −9.91215 | −0.781187 | ||||||||
\(162\) | 18.5301 | − | 13.4629i | 1.45586 | − | 1.05774i | ||||
\(163\) | −7.93423 | − | 5.76456i | −0.621457 | − | 0.451515i | 0.231973 | − | 0.972722i | \(-0.425482\pi\) |
−0.853430 | + | 0.521207i | \(0.825482\pi\) | |||||||
\(164\) | 7.57133 | + | 5.50089i | 0.591222 | + | 0.429548i | ||||
\(165\) | 1.17951 | + | 3.63017i | 0.0918251 | + | 0.282609i | ||||
\(166\) | −9.48415 | + | 6.89064i | −0.736113 | + | 0.534817i | ||||
\(167\) | 4.94143 | + | 15.2082i | 0.382380 | + | 1.17684i | 0.938363 | + | 0.345650i | \(0.112342\pi\) |
−0.555984 | + | 0.831193i | \(0.687658\pi\) | |||||||
\(168\) | −19.4296 | + | 59.7980i | −1.49902 | + | 4.61352i | ||||
\(169\) | −0.809017 | − | 0.587785i | −0.0622321 | − | 0.0452143i | ||||
\(170\) | 1.75189 | − | 5.39176i | 0.134364 | − | 0.413529i | ||||
\(171\) | −0.290879 | + | 0.895235i | −0.0222441 | + | 0.0684603i | ||||
\(172\) | −1.13021 | − | 0.821149i | −0.0861780 | − | 0.0626120i | ||||
\(173\) | 1.41779 | − | 4.36350i | 0.107792 | − | 0.331751i | −0.882583 | − | 0.470156i | \(-0.844198\pi\) |
0.990376 | + | 0.138405i | \(0.0441977\pi\) | |||||||
\(174\) | 9.46157 | + | 29.1197i | 0.717280 | + | 2.20756i | ||||
\(175\) | −16.9670 | + | 12.3272i | −1.28258 | + | 0.931852i | ||||
\(176\) | −4.82825 | − | 14.8598i | −0.363943 | − | 1.12010i | ||||
\(177\) | 18.5548 | + | 13.4808i | 1.39466 | + | 1.01328i | ||||
\(178\) | −15.6146 | − | 11.3447i | −1.17036 | − | 0.850319i | ||||
\(179\) | 4.91640 | − | 3.57198i | 0.367469 | − | 0.266982i | −0.388692 | − | 0.921368i | \(-0.627073\pi\) |
0.756161 | + | 0.654386i | \(0.227073\pi\) | |||||||
\(180\) | −7.34357 | −0.547357 | ||||||||
\(181\) | 21.2116 | 1.57665 | 0.788324 | − | 0.615260i | \(-0.210949\pi\) | ||||
0.788324 | + | 0.615260i | \(0.210949\pi\) | |||||||
\(182\) | −9.12142 | + | 6.62710i | −0.676124 | + | 0.491233i | ||||
\(183\) | −11.6920 | + | 35.9843i | −0.864297 | + | 2.66003i | ||||
\(184\) | 3.90260 | + | 12.0110i | 0.287703 | + | 0.885460i | ||||
\(185\) | 5.52771 | 0.406406 | ||||||||
\(186\) | 25.1171 | + | 23.0056i | 1.84168 | + | 1.68685i | ||||
\(187\) | 10.5117 | 0.768689 | ||||||||
\(188\) | 5.24179 | + | 16.1326i | 0.382297 | + | 1.17659i | ||||
\(189\) | 0.155993 | − | 0.480097i | 0.0113468 | − | 0.0349219i | ||||
\(190\) | −0.374927 | + | 0.272401i | −0.0272001 | + | 0.0197620i | ||||
\(191\) | −25.4583 | −1.84210 | −0.921049 | − | 0.389448i | \(-0.872666\pi\) | ||||
−0.921049 | + | 0.389448i | \(0.872666\pi\) | |||||||
\(192\) | −9.51509 | −0.686693 | ||||||||
\(193\) | 9.48048 | − | 6.88797i | 0.682420 | − | 0.495807i | −0.191740 | − | 0.981446i | \(-0.561413\pi\) |
0.874159 | + | 0.485639i | \(0.161413\pi\) | |||||||
\(194\) | −28.6777 | − | 20.8356i | −2.05894 | − | 1.49591i | ||||
\(195\) | −1.14515 | − | 0.832001i | −0.0820060 | − | 0.0595808i | ||||
\(196\) | 17.5126 | + | 53.8982i | 1.25090 | + | 3.84987i | ||||
\(197\) | −5.44606 | + | 3.95680i | −0.388016 | + | 0.281910i | −0.764642 | − | 0.644455i | \(-0.777084\pi\) |
0.376626 | + | 0.926365i | \(0.377084\pi\) | |||||||
\(198\) | −6.17130 | − | 18.9933i | −0.438575 | − | 1.34980i | ||||
\(199\) | 0.689843 | − | 2.12312i | 0.0489017 | − | 0.150504i | −0.923624 | − | 0.383300i | \(-0.874788\pi\) |
0.972526 | + | 0.232796i | \(0.0747875\pi\) | |||||||
\(200\) | 21.6176 | + | 15.7061i | 1.52860 | + | 1.11059i | ||||
\(201\) | 8.52010 | − | 26.2222i | 0.600961 | − | 1.84957i | ||||
\(202\) | −10.7041 | + | 32.9438i | −0.753137 | + | 2.31792i | ||||
\(203\) | 18.2097 | + | 13.2301i | 1.27807 | + | 0.928572i | ||||
\(204\) | −12.5962 | + | 38.7670i | −0.881908 | + | 2.71423i | ||||
\(205\) | 0.391473 | + | 1.20483i | 0.0273416 | + | 0.0841489i | ||||
\(206\) | 39.4035 | − | 28.6284i | 2.74538 | − | 1.99463i | ||||
\(207\) | 2.01198 | + | 6.19224i | 0.139842 | + | 0.430391i | ||||
\(208\) | 4.68759 | + | 3.40573i | 0.325026 | + | 0.236145i | ||||
\(209\) | −0.695175 | − | 0.505074i | −0.0480862 | − | 0.0349367i | ||||
\(210\) | −12.9112 | + | 9.38055i | −0.890959 | + | 0.647320i | ||||
\(211\) | 10.7154 | 0.737678 | 0.368839 | − | 0.929493i | \(-0.379755\pi\) | ||||
0.368839 | + | 0.929493i | \(0.379755\pi\) | |||||||
\(212\) | −18.2890 | −1.25610 | ||||||||
\(213\) | −6.84140 | + | 4.97057i | −0.468765 | + | 0.340578i | ||||
\(214\) | −11.5843 | + | 35.6529i | −0.791888 | + | 2.43718i | ||||
\(215\) | −0.0584373 | − | 0.179851i | −0.00398539 | − | 0.0122658i | ||||
\(216\) | −0.643170 | −0.0437622 | ||||||||
\(217\) | 24.8787 | + | 2.82911i | 1.68887 | + | 0.192053i | ||||
\(218\) | −16.3533 | −1.10759 | ||||||||
\(219\) | 5.02320 | + | 15.4598i | 0.339436 | + | 1.04468i | ||||
\(220\) | 2.07155 | − | 6.37557i | 0.139664 | − | 0.429841i | ||||
\(221\) | −3.15365 | + | 2.29126i | −0.212137 | + | 0.154127i | ||||
\(222\) | −58.2931 | −3.91238 | ||||||||
\(223\) | −7.46796 | −0.500092 | −0.250046 | − | 0.968234i | \(-0.580446\pi\) | ||||
−0.250046 | + | 0.968234i | \(0.580446\pi\) | |||||||
\(224\) | 11.1580 | − | 8.10679i | 0.745527 | − | 0.541657i | ||||
\(225\) | 11.1450 | + | 8.09729i | 0.742997 | + | 0.539819i | ||||
\(226\) | 36.3323 | + | 26.3970i | 2.41679 | + | 1.75590i | ||||
\(227\) | −7.56179 | − | 23.2728i | −0.501894 | − | 1.54467i | −0.805930 | − | 0.592010i | \(-0.798334\pi\) |
0.304037 | − | 0.952660i | \(-0.401666\pi\) | |||||||
\(228\) | 2.69574 | − | 1.95857i | 0.178530 | − | 0.129710i | ||||
\(229\) | −8.78388 | − | 27.0340i | −0.580455 | − | 1.78646i | −0.616803 | − | 0.787118i | \(-0.711572\pi\) |
0.0363475 | − | 0.999339i | \(-0.488428\pi\) | |||||||
\(230\) | −0.990565 | + | 3.04865i | −0.0653159 | + | 0.201022i | ||||
\(231\) | −23.9395 | − | 17.3930i | −1.57510 | − | 1.14438i | ||||
\(232\) | 8.86198 | − | 27.2744i | 0.581817 | − | 1.79065i | ||||
\(233\) | −1.78135 | + | 5.48243i | −0.116700 | + | 0.359166i | −0.992298 | − | 0.123875i | \(-0.960468\pi\) |
0.875598 | + | 0.483041i | \(0.160468\pi\) | |||||||
\(234\) | 5.99151 | + | 4.35308i | 0.391677 | + | 0.284570i | ||||
\(235\) | −0.709552 | + | 2.18378i | −0.0462861 | + | 0.142454i | ||||
\(236\) | −12.4472 | − | 38.3086i | −0.810246 | − | 2.49368i | ||||
\(237\) | −18.9420 | + | 13.7622i | −1.23042 | + | 0.893950i | ||||
\(238\) | 13.5813 | + | 41.7990i | 0.880347 | + | 2.70943i | ||||
\(239\) | −8.32979 | − | 6.05195i | −0.538810 | − | 0.391468i | 0.284833 | − | 0.958577i | \(-0.408062\pi\) |
−0.823643 | + | 0.567109i | \(0.808062\pi\) | |||||||
\(240\) | 6.63521 | + | 4.82076i | 0.428301 | + | 0.311179i | ||||
\(241\) | −7.29013 | + | 5.29659i | −0.469599 | + | 0.341184i | −0.797285 | − | 0.603603i | \(-0.793731\pi\) |
0.327686 | + | 0.944787i | \(0.393731\pi\) | |||||||
\(242\) | −9.34733 | −0.600869 | ||||||||
\(243\) | −21.9556 | −1.40845 | ||||||||
\(244\) | 53.7596 | − | 39.0586i | 3.44160 | − | 2.50047i | ||||
\(245\) | −2.37058 | + | 7.29590i | −0.151451 | + | 0.466118i | ||||
\(246\) | −4.12832 | − | 12.7057i | −0.263212 | − | 0.810083i | ||||
\(247\) | 0.318655 | 0.0202755 | ||||||||
\(248\) | −6.36704 | − | 31.2604i | −0.404307 | − | 1.98504i | ||||
\(249\) | 11.4098 | 0.723065 | ||||||||
\(250\) | 4.34295 | + | 13.3662i | 0.274673 | + | 0.845355i | ||||
\(251\) | 9.22932 | − | 28.4049i | 0.582549 | − | 1.79290i | −0.0263471 | − | 0.999653i | \(-0.508387\pi\) |
0.608896 | − | 0.793250i | \(-0.291613\pi\) | |||||||
\(252\) | 46.0575 | − | 33.4627i | 2.90135 | − | 2.10795i | ||||
\(253\) | −5.94357 | −0.373669 | ||||||||
\(254\) | 14.5677 | 0.914060 | ||||||||
\(255\) | −4.46394 | + | 3.24324i | −0.279543 | + | 0.203100i | ||||
\(256\) | 25.9604 | + | 18.8613i | 1.62252 | + | 1.17883i | ||||
\(257\) | 2.99982 | + | 2.17950i | 0.187124 | + | 0.135953i | 0.677403 | − | 0.735612i | \(-0.263105\pi\) |
−0.490279 | + | 0.871565i | \(0.663105\pi\) | |||||||
\(258\) | 0.616257 | + | 1.89664i | 0.0383665 | + | 0.118080i | ||||
\(259\) | −34.6688 | + | 25.1884i | −2.15421 | + | 1.56513i | ||||
\(260\) | 0.768209 | + | 2.36431i | 0.0476423 | + | 0.146628i | ||||
\(261\) | 4.56879 | − | 14.0613i | 0.282801 | − | 0.870372i | ||||
\(262\) | −29.8676 | − | 21.7001i | −1.84523 | − | 1.34064i | ||||
\(263\) | 7.55499 | − | 23.2519i | 0.465861 | − | 1.43377i | −0.392037 | − | 0.919950i | \(-0.628229\pi\) |
0.857897 | − | 0.513822i | \(-0.171771\pi\) | |||||||
\(264\) | −11.6504 | + | 35.8564i | −0.717035 | + | 2.20681i | ||||
\(265\) | −2.00287 | − | 1.45517i | −0.123035 | − | 0.0893905i | ||||
\(266\) | 1.11022 | − | 3.41689i | 0.0680717 | − | 0.209503i | ||||
\(267\) | 5.80486 | + | 17.8655i | 0.355252 | + | 1.09335i | ||||
\(268\) | −39.1753 | + | 28.4625i | −2.39301 | + | 1.73862i | ||||
\(269\) | −6.23025 | − | 19.1747i | −0.379865 | − | 1.16910i | −0.940137 | − | 0.340795i | \(-0.889304\pi\) |
0.560273 | − | 0.828308i | \(-0.310696\pi\) | |||||||
\(270\) | −0.132073 | − | 0.0959563i | −0.00803768 | − | 0.00583972i | ||||
\(271\) | 9.95605 | + | 7.23349i | 0.604787 | + | 0.439404i | 0.847575 | − | 0.530676i | \(-0.178062\pi\) |
−0.242788 | + | 0.970079i | \(0.578062\pi\) | |||||||
\(272\) | 18.2728 | − | 13.2760i | 1.10795 | − | 0.804973i | ||||
\(273\) | 10.9734 | 0.664140 | ||||||||
\(274\) | −13.3028 | −0.803652 | ||||||||
\(275\) | −10.1738 | + | 7.39172i | −0.613505 | + | 0.445737i | ||||
\(276\) | 7.12221 | − | 21.9199i | 0.428707 | − | 1.31942i | ||||
\(277\) | 4.15685 | + | 12.7935i | 0.249761 | + | 0.768686i | 0.994817 | + | 0.101683i | \(0.0324229\pi\) |
−0.745056 | + | 0.667002i | \(0.767577\pi\) | |||||||
\(278\) | −31.1989 | −1.87118 | ||||||||
\(279\) | −3.28252 | − | 16.1163i | −0.196520 | − | 0.964856i | ||||
\(280\) | 14.9478 | 0.893301 | ||||||||
\(281\) | 1.59814 | + | 4.91857i | 0.0953370 | + | 0.293417i | 0.987341 | − | 0.158610i | \(-0.0507011\pi\) |
−0.892004 | + | 0.452027i | \(0.850701\pi\) | |||||||
\(282\) | 7.48266 | − | 23.0292i | 0.445586 | − | 1.37137i | ||||
\(283\) | 4.43310 | − | 3.22084i | 0.263520 | − | 0.191459i | −0.448177 | − | 0.893945i | \(-0.647927\pi\) |
0.711698 | + | 0.702486i | \(0.247927\pi\) | |||||||
\(284\) | 14.8518 | 0.881293 | ||||||||
\(285\) | 0.451051 | 0.0267180 | ||||||||
\(286\) | −5.46942 | + | 3.97377i | −0.323414 | + | 0.234974i | ||||
\(287\) | −7.94534 | − | 5.77263i | −0.468998 | − | 0.340747i | ||||
\(288\) | −7.32928 | − | 5.32503i | −0.431882 | − | 0.313781i | ||||
\(289\) | −0.557665 | − | 1.71632i | −0.0328038 | − | 0.100960i | ||||
\(290\) | 5.88891 | − | 4.27855i | 0.345809 | − | 0.251245i | ||||
\(291\) | 10.6612 | + | 32.8117i | 0.624969 | + | 1.92346i | ||||
\(292\) | 8.82211 | − | 27.1517i | 0.516275 | − | 1.58893i | ||||
\(293\) | 5.19948 | + | 3.77765i | 0.303757 | + | 0.220692i | 0.729213 | − | 0.684287i | \(-0.239886\pi\) |
−0.425456 | + | 0.904979i | \(0.639886\pi\) | |||||||
\(294\) | 24.9992 | − | 76.9397i | 1.45798 | − | 4.48721i | ||||
\(295\) | 1.68491 | − | 5.18563i | 0.0980994 | − | 0.301919i | ||||
\(296\) | 44.1715 | + | 32.0925i | 2.56742 | + | 1.86534i | ||||
\(297\) | 0.0935371 | − | 0.287878i | 0.00542757 | − | 0.0167044i | ||||
\(298\) | 11.7162 | + | 36.0588i | 0.678703 | + | 2.08883i | ||||
\(299\) | 1.78316 | − | 1.29554i | 0.103123 | − | 0.0749229i | ||||
\(300\) | −15.0693 | − | 46.3786i | −0.870028 | − | 2.67767i | ||||
\(301\) | 1.18604 | + | 0.861711i | 0.0683624 | + | 0.0496682i | ||||
\(302\) | −24.3438 | − | 17.6868i | −1.40083 | − | 1.01776i | ||||
\(303\) | 27.2748 | − | 19.8163i | 1.56689 | − | 1.13842i | ||||
\(304\) | −1.84634 | −0.105895 | ||||||||
\(305\) | 8.99503 | 0.515054 | ||||||||
\(306\) | 23.3556 | − | 16.9689i | 1.33515 | − | 0.970045i | ||||
\(307\) | 0.442804 | − | 1.36281i | 0.0252722 | − | 0.0777798i | −0.937625 | − | 0.347648i | \(-0.886980\pi\) |
0.962897 | + | 0.269869i | \(0.0869803\pi\) | |||||||
\(308\) | 16.0595 | + | 49.4259i | 0.915073 | + | 2.81630i | ||||
\(309\) | −47.4039 | −2.69671 | ||||||||
\(310\) | 3.35638 | − | 7.36912i | 0.190629 | − | 0.418538i | ||||
\(311\) | 2.47003 | 0.140062 | 0.0700312 | − | 0.997545i | \(-0.477690\pi\) | ||||
0.0700312 | + | 0.997545i | \(0.477690\pi\) | |||||||
\(312\) | −4.32042 | − | 13.2969i | −0.244596 | − | 0.752789i | ||||
\(313\) | 6.32997 | − | 19.4816i | 0.357791 | − | 1.10117i | −0.596582 | − | 0.802552i | \(-0.703475\pi\) |
0.954373 | − | 0.298616i | \(-0.0965249\pi\) | |||||||
\(314\) | −26.3357 | + | 19.1340i | −1.48621 | + | 1.07979i | ||||
\(315\) | 7.70633 | 0.434202 | ||||||||
\(316\) | 41.1207 | 2.31322 | ||||||||
\(317\) | −3.38736 | + | 2.46106i | −0.190253 | + | 0.138227i | −0.678834 | − | 0.734291i | \(-0.737515\pi\) |
0.488581 | + | 0.872518i | \(0.337515\pi\) | |||||||
\(318\) | 21.1215 | + | 15.3457i | 1.18444 | + | 0.860543i | ||||
\(319\) | 10.9190 | + | 7.93310i | 0.611345 | + | 0.444168i | ||||
\(320\) | 0.699024 | + | 2.15137i | 0.0390766 | + | 0.120265i | ||||
\(321\) | 29.5177 | − | 21.4458i | 1.64751 | − | 1.19699i | ||||
\(322\) | −7.67925 | − | 23.6343i | −0.427948 | − | 1.31709i | ||||
\(323\) | 0.383847 | − | 1.18136i | 0.0213578 | − | 0.0657326i | ||||
\(324\) | 31.6741 | + | 23.0126i | 1.75967 | + | 1.27848i | ||||
\(325\) | 1.44110 | − | 4.43524i | 0.0799377 | − | 0.246023i | ||||
\(326\) | 7.59798 | − | 23.3842i | 0.420813 | − | 1.29513i | ||||
\(327\) | 12.8766 | + | 9.35538i | 0.712076 | + | 0.517354i | ||||
\(328\) | −3.86670 | + | 11.9005i | −0.213503 | + | 0.657094i | ||||
\(329\) | −5.50072 | − | 16.9295i | −0.303265 | − | 0.933353i | ||||
\(330\) | −7.74189 | + | 5.62481i | −0.426177 | + | 0.309636i | ||||
\(331\) | 0.00707585 | + | 0.0217772i | 0.000388924 | + | 0.00119698i | 0.951251 | − | 0.308418i | \(-0.0997997\pi\) |
−0.950862 | + | 0.309615i | \(0.899800\pi\) | |||||||
\(332\) | −16.2116 | − | 11.7784i | −0.889729 | − | 0.646426i | ||||
\(333\) | 22.7726 | + | 16.5453i | 1.24793 | + | 0.906675i | ||||
\(334\) | −32.4337 | + | 23.5645i | −1.77469 | + | 1.28939i | ||||
\(335\) | −6.55479 | −0.358126 | ||||||||
\(336\) | −63.5818 | −3.46867 | ||||||||
\(337\) | 11.1497 | − | 8.10072i | 0.607362 | − | 0.441275i | −0.241122 | − | 0.970495i | \(-0.577515\pi\) |
0.848485 | + | 0.529220i | \(0.177515\pi\) | |||||||
\(338\) | 0.774730 | − | 2.38437i | 0.0421398 | − | 0.129693i | ||||
\(339\) | −13.5069 | − | 41.5698i | −0.733592 | − | 2.25776i | ||||
\(340\) | 9.69064 | 0.525549 | ||||||||
\(341\) | 14.9179 | + | 1.69641i | 0.807848 | + | 0.0918655i | ||||
\(342\) | −2.35993 | −0.127610 | ||||||||
\(343\) | −8.64982 | − | 26.6214i | −0.467047 | − | 1.43742i | ||||
\(344\) | 0.577203 | − | 1.77645i | 0.0311207 | − | 0.0957797i | ||||
\(345\) | 2.52403 | − | 1.83381i | 0.135889 | − | 0.0987293i | ||||
\(346\) | 11.5026 | 0.618384 | ||||||||
\(347\) | 22.7500 | 1.22129 | 0.610643 | − | 0.791906i | \(-0.290911\pi\) | ||||
0.610643 | + | 0.791906i | \(0.290911\pi\) | |||||||
\(348\) | −42.3416 | + | 30.7629i | −2.26975 | + | 1.64907i | ||||
\(349\) | 9.92625 | + | 7.21185i | 0.531340 | + | 0.386041i | 0.820859 | − | 0.571131i | \(-0.193495\pi\) |
−0.289519 | + | 0.957172i | \(0.593495\pi\) | |||||||
\(350\) | −42.5376 | − | 30.9054i | −2.27373 | − | 1.65196i | ||||
\(351\) | 0.0346871 | + | 0.106756i | 0.00185146 | + | 0.00569821i | ||||
\(352\) | 6.69063 | − | 4.86103i | 0.356612 | − | 0.259094i | ||||
\(353\) | 7.26202 | + | 22.3502i | 0.386518 | + | 1.18958i | 0.935373 | + | 0.353663i | \(0.115064\pi\) |
−0.548854 | + | 0.835918i | \(0.684936\pi\) | |||||||
\(354\) | −17.7684 | + | 54.6856i | −0.944381 | + | 2.90651i | ||||
\(355\) | 1.62645 | + | 1.18169i | 0.0863232 | + | 0.0627175i | ||||
\(356\) | 10.1949 | − | 31.3767i | 0.540330 | − | 1.66296i | ||||
\(357\) | 13.2184 | − | 40.6820i | 0.699591 | − | 2.15312i | ||||
\(358\) | 12.3258 | + | 8.95523i | 0.651439 | + | 0.473298i | ||||
\(359\) | 1.22512 | − | 3.77054i | 0.0646595 | − | 0.199001i | −0.913508 | − | 0.406822i | \(-0.866637\pi\) |
0.978167 | + | 0.207820i | \(0.0666370\pi\) | |||||||
\(360\) | −3.03412 | − | 9.33807i | −0.159912 | − | 0.492159i | ||||
\(361\) | 15.2892 | − | 11.1082i | 0.804693 | − | 0.584644i | ||||
\(362\) | 16.4333 | + | 50.5765i | 0.863715 | + | 2.65824i | ||||
\(363\) | 7.36006 | + | 5.34740i | 0.386303 | + | 0.280665i | ||||
\(364\) | −15.5916 | − | 11.3280i | −0.817221 | − | 0.593746i | ||||
\(365\) | 3.12645 | − | 2.27150i | 0.163646 | − | 0.118896i | ||||
\(366\) | −94.8581 | −4.95831 | ||||||||
\(367\) | −12.9387 | −0.675393 | −0.337696 | − | 0.941255i | \(-0.609648\pi\) | ||||
−0.337696 | + | 0.941255i | \(0.609648\pi\) | |||||||
\(368\) | −10.3319 | + | 7.50658i | −0.538589 | + | 0.391308i | ||||
\(369\) | −1.99347 | + | 6.13528i | −0.103776 | + | 0.319390i | ||||
\(370\) | 4.28249 | + | 13.1801i | 0.222636 | + | 0.685203i | ||||
\(371\) | 19.1925 | 0.996424 | ||||||||
\(372\) | −24.1325 | + | 52.9843i | −1.25121 | + | 2.74711i | ||||
\(373\) | −17.7455 | −0.918827 | −0.459413 | − | 0.888223i | \(-0.651940\pi\) | ||||
−0.459413 | + | 0.888223i | \(0.651940\pi\) | |||||||
\(374\) | 8.14370 | + | 25.0637i | 0.421101 | + | 1.29601i | ||||
\(375\) | 4.22689 | − | 13.0090i | 0.218276 | − | 0.671784i | ||||
\(376\) | −18.3484 | + | 13.3309i | −0.946247 | + | 0.687488i | ||||
\(377\) | −5.00505 | −0.257773 | ||||||||
\(378\) | 1.26558 | 0.0650945 | ||||||||
\(379\) | 23.9560 | − | 17.4050i | 1.23054 | − | 0.894037i | 0.233606 | − | 0.972331i | \(-0.424947\pi\) |
0.996930 | + | 0.0782946i | \(0.0249475\pi\) | |||||||
\(380\) | −0.640878 | − | 0.465625i | −0.0328763 | − | 0.0238861i | ||||
\(381\) | −11.4706 | − | 8.33386i | −0.587656 | − | 0.426957i | ||||
\(382\) | −19.7233 | − | 60.7021i | −1.00913 | − | 3.10579i | ||||
\(383\) | −8.82496 | + | 6.41171i | −0.450935 | + | 0.327623i | −0.789965 | − | 0.613152i | \(-0.789901\pi\) |
0.339030 | + | 0.940776i | \(0.389901\pi\) | |||||||
\(384\) | −11.9966 | − | 36.9218i | −0.612200 | − | 1.88416i | ||||
\(385\) | −2.17388 | + | 6.69051i | −0.110791 | + | 0.340980i | ||||
\(386\) | 23.7683 | + | 17.2687i | 1.20978 | + | 0.878953i | ||||
\(387\) | 0.297577 | − | 0.915847i | 0.0151267 | − | 0.0465551i | ||||
\(388\) | 18.7239 | − | 57.6263i | 0.950563 | − | 2.92553i | ||||
\(389\) | −0.966505 | − | 0.702207i | −0.0490037 | − | 0.0356033i | 0.563014 | − | 0.826448i | \(-0.309642\pi\) |
−0.612017 | + | 0.790844i | \(0.709642\pi\) | |||||||
\(390\) | 1.09662 | − | 3.37505i | 0.0555295 | − | 0.170902i | ||||
\(391\) | −2.65503 | − | 8.17134i | −0.134271 | − | 0.413243i | ||||
\(392\) | −61.3012 | + | 44.5379i | −3.09618 | + | 2.24951i | ||||
\(393\) | 11.1035 | + | 34.1732i | 0.560099 | + | 1.72381i | ||||
\(394\) | −13.6537 | − | 9.92001i | −0.687864 | − | 0.499763i | ||||
\(395\) | 4.50322 | + | 3.27178i | 0.226581 | + | 0.164621i | ||||
\(396\) | 27.6172 | − | 20.0651i | 1.38782 | − | 1.00831i | ||||
\(397\) | −8.59216 | −0.431228 | −0.215614 | − | 0.976479i | \(-0.569175\pi\) | ||||
−0.215614 | + | 0.976479i | \(0.569175\pi\) | |||||||
\(398\) | 5.59675 | 0.280540 | ||||||||
\(399\) | −2.82891 | + | 2.05532i | −0.141623 | + | 0.102895i | ||||
\(400\) | −8.34997 | + | 25.6986i | −0.417499 | + | 1.28493i | ||||
\(401\) | −1.07545 | − | 3.30989i | −0.0537054 | − | 0.165288i | 0.920606 | − | 0.390492i | \(-0.127695\pi\) |
−0.974312 | + | 0.225204i | \(0.927695\pi\) | |||||||
\(402\) | 69.1242 | 3.44760 | ||||||||
\(403\) | −4.84534 | + | 2.74275i | −0.241364 | + | 0.136626i | ||||
\(404\) | −59.2100 | −2.94581 | ||||||||
\(405\) | 1.63770 | + | 5.04032i | 0.0813779 | + | 0.250455i | ||||
\(406\) | −17.4380 | + | 53.6685i | −0.865431 | + | 2.66352i | ||||
\(407\) | −20.7883 | + | 15.1036i | −1.03044 | + | 0.748656i | ||||
\(408\) | −54.5004 | −2.69817 | ||||||||
\(409\) | −0.135968 | −0.00672321 | −0.00336160 | − | 0.999994i | \(-0.501070\pi\) | ||||
−0.00336160 | + | 0.999994i | \(0.501070\pi\) | |||||||
\(410\) | −2.56948 | + | 1.86683i | −0.126897 | + | 0.0921964i | ||||
\(411\) | 10.4746 | + | 7.61024i | 0.516674 | + | 0.375385i | ||||
\(412\) | 67.3540 | + | 48.9356i | 3.31829 | + | 2.41088i | ||||
\(413\) | 13.0621 | + | 40.2010i | 0.642744 | + | 1.97816i | ||||
\(414\) | −13.2059 | + | 9.59464i | −0.649034 | + | 0.471551i | ||||
\(415\) | −0.838216 | − | 2.57976i | −0.0411464 | − | 0.126636i | ||||
\(416\) | −0.947711 | + | 2.91675i | −0.0464654 | + | 0.143006i | ||||
\(417\) | 24.5659 | + | 17.8482i | 1.20300 | + | 0.874028i | ||||
\(418\) | 0.665713 | − | 2.04885i | 0.0325611 | − | 0.100213i | ||||
\(419\) | 6.79969 | − | 20.9273i | 0.332187 | − | 1.02237i | −0.635905 | − | 0.771768i | \(-0.719373\pi\) |
0.968091 | − | 0.250598i | \(-0.0806272\pi\) | |||||||
\(420\) | −22.0697 | − | 16.0345i | −1.07689 | − | 0.782406i | ||||
\(421\) | 0.420509 | − | 1.29419i | 0.0204944 | − | 0.0630751i | −0.940286 | − | 0.340385i | \(-0.889443\pi\) |
0.960781 | + | 0.277309i | \(0.0894427\pi\) | |||||||
\(422\) | 8.30153 | + | 25.5495i | 0.404112 | + | 1.24373i | ||||
\(423\) | −9.45951 | + | 6.87274i | −0.459937 | + | 0.334164i | ||||
\(424\) | −7.55643 | − | 23.2563i | −0.366973 | − | 1.12943i | ||||
\(425\) | −14.7070 | − | 10.6853i | −0.713394 | − | 0.518311i | ||||
\(426\) | −17.1519 | − | 12.4616i | −0.831014 | − | 0.603767i | ||||
\(427\) | −56.4152 | + | 40.9880i | −2.73012 | + | 1.98355i | ||||
\(428\) | −64.0791 | −3.09738 | ||||||||
\(429\) | 6.57991 | 0.317681 | ||||||||
\(430\) | 0.383560 | − | 0.278673i | 0.0184969 | − | 0.0134388i | ||||
\(431\) | 2.34574 | − | 7.21944i | 0.112990 | − | 0.347748i | −0.878532 | − | 0.477683i | \(-0.841477\pi\) |
0.991523 | + | 0.129935i | \(0.0414768\pi\) | |||||||
\(432\) | −0.200983 | − | 0.618563i | −0.00966981 | − | 0.0297606i | ||||
\(433\) | −1.49862 | −0.0720192 | −0.0360096 | − | 0.999351i | \(-0.511465\pi\) | ||||
−0.0360096 | + | 0.999351i | \(0.511465\pi\) | |||||||
\(434\) | 12.5286 | + | 61.5119i | 0.601392 | + | 2.95266i | ||||
\(435\) | −7.08457 | −0.339679 | ||||||||
\(436\) | −8.63808 | − | 26.5853i | −0.413689 | − | 1.27320i | ||||
\(437\) | −0.217037 | + | 0.667972i | −0.0103823 | + | 0.0319534i | ||||
\(438\) | −32.9704 | + | 23.9544i | −1.57539 | + | 1.14458i | ||||
\(439\) | 18.1499 | 0.866245 | 0.433123 | − | 0.901335i | \(-0.357412\pi\) | ||||
0.433123 | + | 0.901335i | \(0.357412\pi\) | |||||||
\(440\) | 8.96306 | 0.427297 | ||||||||
\(441\) | −31.6038 | + | 22.9615i | −1.50494 | + | 1.09341i | ||||
\(442\) | −7.90645 | − | 5.74437i | −0.376071 | − | 0.273232i | ||||
\(443\) | 26.0407 | + | 18.9197i | 1.23723 | + | 0.898900i | 0.997411 | − | 0.0719170i | \(-0.0229117\pi\) |
0.239820 | + | 0.970817i | \(0.422912\pi\) | |||||||
\(444\) | −30.7913 | − | 94.7658i | −1.46129 | − | 4.49739i | ||||
\(445\) | 3.61296 | − | 2.62497i | 0.171271 | − | 0.124436i | ||||
\(446\) | −5.78566 | − | 17.8064i | −0.273959 | − | 0.843158i | ||||
\(447\) | 11.4031 | − | 35.0952i | 0.539350 | − | 1.65995i | ||||
\(448\) | −14.1874 | − | 10.3078i | −0.670292 | − | 0.486995i | ||||
\(449\) | 8.69052 | − | 26.7467i | 0.410131 | − | 1.26225i | −0.506403 | − | 0.862297i | \(-0.669025\pi\) |
0.916534 | − | 0.399957i | \(-0.130975\pi\) | |||||||
\(450\) | −10.6726 | + | 32.8470i | −0.503113 | + | 1.54842i | ||||
\(451\) | −4.76422 | − | 3.46141i | −0.224338 | − | 0.162991i | ||||
\(452\) | −23.7217 | + | 73.0080i | −1.11578 | + | 3.43401i | ||||
\(453\) | 9.05000 | + | 27.8530i | 0.425206 | + | 1.30865i | ||||
\(454\) | 49.6327 | − | 36.0603i | 2.32938 | − | 1.69239i | ||||
\(455\) | −0.806157 | − | 2.48110i | −0.0377932 | − | 0.116316i | ||||
\(456\) | 3.60431 | + | 2.61868i | 0.168787 | + | 0.122631i | ||||
\(457\) | 11.5652 | + | 8.40259i | 0.540996 | + | 0.393056i | 0.824455 | − | 0.565928i | \(-0.191482\pi\) |
−0.283459 | + | 0.958984i | \(0.591482\pi\) | |||||||
\(458\) | 57.6541 | − | 41.8881i | 2.69400 | − | 1.95730i | ||||
\(459\) | 0.437564 | 0.0204237 | ||||||||
\(460\) | −5.47935 | −0.255476 | ||||||||
\(461\) | −10.6271 | + | 7.72103i | −0.494952 | + | 0.359604i | −0.807086 | − | 0.590434i | \(-0.798956\pi\) |
0.312133 | + | 0.950038i | \(0.398956\pi\) | |||||||
\(462\) | 22.9249 | − | 70.5555i | 1.06656 | − | 3.28254i | ||||
\(463\) | 2.57960 | + | 7.93918i | 0.119884 | + | 0.368965i | 0.992934 | − | 0.118665i | \(-0.0378615\pi\) |
−0.873050 | + | 0.487630i | \(0.837861\pi\) | |||||||
\(464\) | 29.0002 | 1.34630 | ||||||||
\(465\) | −6.85851 | + | 3.88232i | −0.318056 | + | 0.180038i | ||||
\(466\) | −14.4522 | −0.669487 | ||||||||
\(467\) | −8.42760 | − | 25.9375i | −0.389983 | − | 1.20024i | −0.932800 | − | 0.360393i | \(-0.882642\pi\) |
0.542818 | − | 0.839851i | \(-0.317358\pi\) | |||||||
\(468\) | −3.91191 | + | 12.0396i | −0.180828 | + | 0.556532i | ||||
\(469\) | 41.1104 | − | 29.8685i | 1.89830 | − | 1.37920i | ||||
\(470\) | −5.75665 | −0.265535 | ||||||||
\(471\) | 31.6828 | 1.45986 | ||||||||
\(472\) | 43.5704 | − | 31.6557i | 2.00549 | − | 1.45707i | ||||
\(473\) | 0.711181 | + | 0.516703i | 0.0327001 | + | 0.0237580i | ||||
\(474\) | −47.4892 | − | 34.5029i | −2.18125 | − | 1.58477i | ||||
\(475\) | 0.459212 | + | 1.41331i | 0.0210701 | + | 0.0648471i | ||||
\(476\) | −60.7779 | + | 44.1578i | −2.78575 | + | 2.02397i | ||||
\(477\) | −3.89572 | − | 11.9898i | −0.178373 | − | 0.548974i | ||||
\(478\) | 7.97677 | − | 24.5500i | 0.364849 | − | 1.12289i | ||||
\(479\) | 2.12852 | + | 1.54646i | 0.0972544 | + | 0.0706595i | 0.635350 | − | 0.772225i | \(-0.280856\pi\) |
−0.538095 | + | 0.842884i | \(0.680856\pi\) | |||||||
\(480\) | −1.34147 | + | 4.12862i | −0.0612295 | + | 0.188445i | ||||
\(481\) | 2.94461 | − | 9.06256i | 0.134262 | − | 0.413217i | ||||
\(482\) | −18.2769 | − | 13.2790i | −0.832492 | − | 0.604841i | ||||
\(483\) | −7.47403 | + | 23.0027i | −0.340080 | + | 1.04666i | ||||
\(484\) | −4.93740 | − | 15.1957i | −0.224427 | − | 0.690716i | ||||
\(485\) | 6.63555 | − | 4.82101i | 0.301305 | − | 0.218911i | ||||
\(486\) | −17.0096 | − | 52.3503i | −0.771573 | − | 2.37466i | ||||
\(487\) | −26.0934 | − | 18.9580i | −1.18241 | − | 0.859068i | −0.189965 | − | 0.981791i | \(-0.560837\pi\) |
−0.992441 | + | 0.122723i | \(0.960837\pi\) | |||||||
\(488\) | 71.8785 | + | 52.2228i | 3.25379 | + | 2.36402i | ||||
\(489\) | −19.3602 | + | 14.0660i | −0.875497 | + | 0.636086i | ||||
\(490\) | −19.2327 | −0.868846 | ||||||||
\(491\) | 13.8779 | 0.626300 | 0.313150 | − | 0.949704i | \(-0.398616\pi\) | ||||
0.313150 | + | 0.949704i | \(0.398616\pi\) | |||||||
\(492\) | 18.4747 | − | 13.4226i | 0.832902 | − | 0.605139i | ||||
\(493\) | −6.02901 | + | 18.5554i | −0.271533 | + | 0.835693i | ||||
\(494\) | 0.246872 | + | 0.759792i | 0.0111073 | + | 0.0341847i | ||||
\(495\) | 4.62090 | 0.207694 | ||||||||
\(496\) | 28.0748 | − | 15.8920i | 1.26059 | − | 0.713570i | ||||
\(497\) | −15.5855 | −0.699103 | ||||||||
\(498\) | 8.83950 | + | 27.2052i | 0.396107 | + | 1.21909i | ||||
\(499\) | −2.68699 | + | 8.26972i | −0.120286 | + | 0.370203i | −0.993013 | − | 0.118006i | \(-0.962350\pi\) |
0.872727 | + | 0.488209i | \(0.162350\pi\) | |||||||
\(500\) | −19.4352 | + | 14.1205i | −0.869168 | + | 0.631487i | ||||
\(501\) | 39.0189 | 1.74324 | ||||||||
\(502\) | 74.8782 | 3.34198 | ||||||||
\(503\) | −22.6428 | + | 16.4510i | −1.00959 | + | 0.733513i | −0.964124 | − | 0.265452i | \(-0.914479\pi\) |
−0.0454705 | + | 0.998966i | \(0.514479\pi\) | |||||||
\(504\) | 61.5806 | + | 44.7409i | 2.74302 | + | 1.99292i | ||||
\(505\) | −6.48422 | − | 4.71106i | −0.288544 | − | 0.209639i | ||||
\(506\) | −4.60466 | − | 14.1717i | −0.204702 | − | 0.630009i | ||||
\(507\) | −1.97407 | + | 1.43424i | −0.0876714 | + | 0.0636970i | ||||
\(508\) | 7.69488 | + | 23.6824i | 0.341405 | + | 1.05074i | ||||
\(509\) | −1.07633 | + | 3.31261i | −0.0477076 | + | 0.146829i | −0.972073 | − | 0.234680i | \(-0.924596\pi\) |
0.924365 | + | 0.381509i | \(0.124596\pi\) | |||||||
\(510\) | −11.1915 | − | 8.13107i | −0.495566 | − | 0.360050i | ||||
\(511\) | −9.25790 | + | 28.4929i | −0.409545 | + | 1.26045i | ||||
\(512\) | −15.0272 | + | 46.2490i | −0.664115 | + | 2.04394i | ||||
\(513\) | −0.0289377 | − | 0.0210245i | −0.00127763 | − | 0.000928253i | ||||
\(514\) | −2.87269 | + | 8.84123i | −0.126709 | + | 0.389970i | ||||
\(515\) | 3.48251 | + | 10.7181i | 0.153458 | + | 0.472295i | ||||
\(516\) | −2.75781 | + | 2.00367i | −0.121406 | + | 0.0882066i | ||||
\(517\) | −3.29837 | − | 10.1513i | −0.145062 | − | 0.446455i | ||||
\(518\) | −86.9174 | − | 63.1492i | −3.81893 | − | 2.77462i | ||||
\(519\) | −9.05713 | − | 6.58039i | −0.397564 | − | 0.288847i | ||||
\(520\) | −2.68905 | + | 1.95371i | −0.117922 | + | 0.0856757i | ||||
\(521\) | 15.3512 | 0.672550 | 0.336275 | − | 0.941764i | \(-0.390833\pi\) | ||||
0.336275 | + | 0.941764i | \(0.390833\pi\) | |||||||
\(522\) | 37.0669 | 1.62238 | ||||||||
\(523\) | 19.5560 | − | 14.2083i | 0.855124 | − | 0.621284i | −0.0714298 | − | 0.997446i | \(-0.522756\pi\) |
0.926554 | + | 0.376161i | \(0.122756\pi\) | |||||||
\(524\) | 19.5008 | − | 60.0174i | 0.851898 | − | 2.62187i | ||||
\(525\) | 15.8137 | + | 48.6696i | 0.690167 | + | 2.12412i | ||||
\(526\) | 61.2942 | 2.67256 | ||||||||
\(527\) | 4.33165 | + | 21.2672i | 0.188690 | + | 0.926413i | ||||
\(528\) | −38.1252 | −1.65919 | ||||||||
\(529\) | −5.60617 | − | 17.2540i | −0.243746 | − | 0.750174i | ||||
\(530\) | 1.91799 | − | 5.90296i | 0.0833121 | − | 0.256408i | ||||
\(531\) | 22.4627 | − | 16.3201i | 0.974798 | − | 0.708232i | ||||
\(532\) | 6.14120 | 0.266255 | ||||||||
\(533\) | 2.18383 | 0.0945921 | ||||||||
\(534\) | −38.1009 | + | 27.6819i | −1.64879 | + | 1.19791i | ||||
\(535\) | −7.01743 | − | 5.09846i | −0.303390 | − | 0.220426i | ||||
\(536\) | −52.3788 | − | 38.0554i | −2.26242 | − | 1.64374i | ||||
\(537\) | −4.58223 | − | 14.1026i | −0.197738 | − | 0.608574i | ||||
\(538\) | 40.8930 | − | 29.7105i | 1.76302 | − | 1.28091i | ||||
\(539\) | −11.0197 | − | 33.9152i | −0.474652 | − | 1.46083i | ||||
\(540\) | 0.0862314 | − | 0.265393i | 0.00371081 | − | 0.0114207i | ||||
\(541\) | −11.7783 | − | 8.55744i | −0.506389 | − | 0.367913i | 0.305063 | − | 0.952332i | \(-0.401322\pi\) |
−0.811452 | + | 0.584419i | \(0.801322\pi\) | |||||||
\(542\) | −9.53411 | + | 29.3430i | −0.409525 | + | 1.26039i | ||||
\(543\) | 15.9941 | − | 49.2249i | 0.686374 | − | 2.11244i | ||||
\(544\) | 9.67179 | + | 7.02696i | 0.414674 | + | 0.301279i | ||||
\(545\) | 1.16929 | − | 3.59870i | 0.0500868 | − | 0.154151i | ||||
\(546\) | 8.50142 | + | 26.1647i | 0.363827 | + | 1.11974i | ||||
\(547\) | 9.32101 | − | 6.77211i | 0.398538 | − | 0.289554i | −0.370407 | − | 0.928869i | \(-0.620782\pi\) |
0.768945 | + | 0.639315i | \(0.220782\pi\) | |||||||
\(548\) | −7.02674 | − | 21.6261i | −0.300167 | − | 0.923820i | ||||
\(549\) | 37.0569 | + | 26.9234i | 1.58155 | + | 1.14906i | ||||
\(550\) | −25.5066 | − | 18.5316i | −1.08760 | − | 0.790191i | ||||
\(551\) | 1.29029 | − | 0.937449i | 0.0549681 | − | 0.0399367i | ||||
\(552\) | 30.8160 | 1.31161 | ||||||||
\(553\) | −43.1520 | −1.83501 | ||||||||
\(554\) | −27.2840 | + | 19.8230i | −1.15919 | + | 0.842198i | ||||
\(555\) | 4.16804 | − | 12.8279i | 0.176924 | − | 0.544515i | ||||
\(556\) | −16.4797 | − | 50.7193i | −0.698895 | − | 2.15098i | ||||
\(557\) | −15.5870 | −0.660443 | −0.330222 | − | 0.943903i | \(-0.607123\pi\) | ||||
−0.330222 | + | 0.943903i | \(0.607123\pi\) | |||||||
\(558\) | 35.8842 | − | 20.3125i | 1.51910 | − | 0.859898i | ||||
\(559\) | −0.325992 | −0.0137880 | ||||||||
\(560\) | 4.67102 | + | 14.3759i | 0.197386 | + | 0.607493i | ||||
\(561\) | 7.92607 | − | 24.3939i | 0.334639 | − | 1.02991i | ||||
\(562\) | −10.4896 | + | 7.62113i | −0.442476 | + | 0.321478i | ||||
\(563\) | 10.5578 | 0.444960 | 0.222480 | − | 0.974937i | \(-0.428585\pi\) | ||||
0.222480 | + | 0.974937i | \(0.428585\pi\) | |||||||
\(564\) | 41.3906 | 1.74286 | ||||||||
\(565\) | −8.40671 | + | 6.10783i | −0.353673 | + | 0.256958i | ||||
\(566\) | 11.1141 | + | 8.07489i | 0.467162 | + | 0.339413i | ||||
\(567\) | −33.2388 | − | 24.1494i | −1.39590 | − | 1.01418i | ||||
\(568\) | 6.13628 | + | 18.8855i | 0.257473 | + | 0.792419i | ||||
\(569\) | 21.3314 | − | 15.4982i | 0.894258 | − | 0.649717i | −0.0427266 | − | 0.999087i | \(-0.513604\pi\) |
0.936985 | + | 0.349370i | \(0.113604\pi\) | |||||||
\(570\) | 0.349443 | + | 1.07547i | 0.0146365 | + | 0.0450467i | ||||
\(571\) | −8.79886 | + | 27.0801i | −0.368221 | + | 1.13327i | 0.579718 | + | 0.814817i | \(0.303163\pi\) |
−0.947939 | + | 0.318451i | \(0.896837\pi\) | |||||||
\(572\) | −9.34910 | − | 6.79252i | −0.390906 | − | 0.284009i | ||||
\(573\) | −19.1962 | + | 59.0799i | −0.801934 | + | 2.46810i | ||||
\(574\) | 7.60861 | − | 23.4169i | 0.317577 | − | 0.977402i | ||||
\(575\) | 8.31572 | + | 6.04173i | 0.346790 | + | 0.251957i | ||||
\(576\) | −3.55960 | + | 10.9553i | −0.148317 | + | 0.456472i | ||||
\(577\) | 5.17787 | + | 15.9358i | 0.215558 | + | 0.663418i | 0.999114 | + | 0.0420968i | \(0.0134038\pi\) |
−0.783556 | + | 0.621321i | \(0.786596\pi\) | |||||||
\(578\) | 3.66030 | − | 2.65937i | 0.152249 | − | 0.110615i | ||||
\(579\) | −8.83607 | − | 27.1946i | −0.367215 | − | 1.13017i | ||||
\(580\) | 10.0661 | + | 7.31349i | 0.417974 | + | 0.303676i | ||||
\(581\) | 17.0124 | + | 12.3603i | 0.705795 | + | 0.512790i | ||||
\(582\) | −69.9759 | + | 50.8405i | −2.90059 | + | 2.10740i | ||||
\(583\) | 11.5083 | 0.476624 | ||||||||
\(584\) | 38.1710 | 1.57953 | ||||||||
\(585\) | −1.38634 | + | 1.00723i | −0.0573180 | + | 0.0416439i | ||||
\(586\) | −4.97913 | + | 15.3242i | −0.205686 | + | 0.633036i | ||||
\(587\) | 12.4073 | + | 38.1856i | 0.512103 | + | 1.57609i | 0.788492 | + | 0.615044i | \(0.210862\pi\) |
−0.276390 | + | 0.961046i | \(0.589138\pi\) | |||||||
\(588\) | 138.284 | 5.70274 | ||||||||
\(589\) | 0.735397 | − | 1.61461i | 0.0303015 | − | 0.0665288i | ||||
\(590\) | 13.6698 | 0.562778 | ||||||||
\(591\) | 5.07589 | + | 15.6220i | 0.208794 | + | 0.642602i | ||||
\(592\) | −17.0616 | + | 52.5101i | −0.701226 | + | 2.15815i | ||||
\(593\) | 18.4273 | − | 13.3882i | 0.756718 | − | 0.549788i | −0.141184 | − | 0.989983i | \(-0.545091\pi\) |
0.897902 | + | 0.440196i | \(0.145091\pi\) | |||||||
\(594\) | 0.758874 | 0.0311370 | ||||||||
\(595\) | −10.1693 | −0.416902 | ||||||||
\(596\) | −52.4314 | + | 38.0936i | −2.14767 | + | 1.56038i | ||||
\(597\) | −4.40687 | − | 3.20178i | −0.180361 | − | 0.131040i | ||||
\(598\) | 4.47051 | + | 3.24802i | 0.182813 | + | 0.132821i | ||||
\(599\) | −5.52601 | − | 17.0073i | −0.225787 | − | 0.694900i | −0.998211 | − | 0.0597927i | \(-0.980956\pi\) |
0.772424 | − | 0.635107i | \(-0.219044\pi\) | |||||||
\(600\) | 52.7488 | − | 38.3242i | 2.15346 | − | 1.56458i | ||||
\(601\) | −5.66033 | − | 17.4207i | −0.230890 | − | 0.710605i | −0.997640 | − | 0.0686598i | \(-0.978128\pi\) |
0.766751 | − | 0.641945i | \(-0.221872\pi\) | |||||||
\(602\) | −1.13578 | + | 3.49557i | −0.0462909 | + | 0.142469i | ||||
\(603\) | −27.0038 | − | 19.6194i | −1.09968 | − | 0.798965i | ||||
\(604\) | 15.8943 | − | 48.9175i | 0.646729 | − | 1.99043i | ||||
\(605\) | 0.668348 | − | 2.05696i | 0.0271722 | − | 0.0836274i | ||||
\(606\) | 68.3800 | + | 49.6810i | 2.77775 | + | 2.01815i | ||||
\(607\) | −7.51660 | + | 23.1337i | −0.305089 | + | 0.938968i | 0.674555 | + | 0.738225i | \(0.264336\pi\) |
−0.979644 | + | 0.200743i | \(0.935664\pi\) | |||||||
\(608\) | −0.301993 | − | 0.929438i | −0.0122474 | − | 0.0376937i | ||||
\(609\) | 44.4331 | − | 32.2826i | 1.80052 | − | 1.30816i | ||||
\(610\) | 6.96872 | + | 21.4475i | 0.282155 | + | 0.868385i | ||||
\(611\) | 3.20227 | + | 2.32659i | 0.129550 | + | 0.0941237i | ||||
\(612\) | 39.9227 | + | 29.0055i | 1.61378 | + | 1.17248i | ||||
\(613\) | 3.39696 | − | 2.46804i | 0.137202 | − | 0.0996830i | −0.517067 | − | 0.855945i | \(-0.672976\pi\) |
0.654269 | + | 0.756262i | \(0.272976\pi\) | |||||||
\(614\) | 3.59251 | 0.144982 | ||||||||
\(615\) | 3.09117 | 0.124648 | ||||||||
\(616\) | −56.2147 | + | 40.8423i | −2.26495 | + | 1.64559i | ||||
\(617\) | 0.670478 | − | 2.06352i | 0.0269924 | − | 0.0830742i | −0.936653 | − | 0.350259i | \(-0.886093\pi\) |
0.963645 | + | 0.267185i | \(0.0860935\pi\) | |||||||
\(618\) | −36.7252 | − | 113.029i | −1.47730 | − | 4.54668i | ||||
\(619\) | −48.4477 | −1.94728 | −0.973639 | − | 0.228097i | \(-0.926750\pi\) | ||||
−0.973639 | + | 0.228097i | \(0.926750\pi\) | |||||||
\(620\) | 13.7527 | + | 1.56391i | 0.552322 | + | 0.0628080i | ||||
\(621\) | −0.247410 | −0.00992823 | ||||||||
\(622\) | 1.91360 | + | 5.88947i | 0.0767285 | + | 0.236146i | ||||
\(623\) | −10.6985 | + | 32.9267i | −0.428627 | + | 1.31918i | ||||
\(624\) | 11.4381 | − | 8.31026i | 0.457890 | − | 0.332677i | ||||
\(625\) | 20.0655 | 0.802622 | ||||||||
\(626\) | 51.3556 | 2.05258 | ||||||||
\(627\) | −1.69628 | + | 1.23242i | −0.0677430 | + | 0.0492182i | ||||
\(628\) | −45.0166 | − | 32.7065i | −1.79636 | − | 1.30513i | ||||
\(629\) | −30.0509 | − | 21.8333i | −1.19821 | − | 0.870550i | ||||
\(630\) | 5.97032 | + | 18.3748i | 0.237863 | + | 0.732068i | ||||
\(631\) | −31.8542 | + | 23.1435i | −1.26810 | + | 0.921327i | −0.999125 | − | 0.0418213i | \(-0.986684\pi\) |
−0.268972 | + | 0.963148i | \(0.586684\pi\) | |||||||
\(632\) | 16.9897 | + | 52.2890i | 0.675815 | + | 2.07995i | ||||
\(633\) | 8.07969 | − | 24.8667i | 0.321139 | − | 0.988363i | ||||
\(634\) | −8.49238 | − | 6.17007i | −0.337275 | − | 0.245045i | ||||
\(635\) | −1.04161 | + | 3.20576i | −0.0413352 | + | 0.127217i | ||||
\(636\) | −13.7904 | + | 42.4426i | −0.546826 | + | 1.68296i | ||||
\(637\) | 10.6987 | + | 7.77303i | 0.423896 | + | 0.307979i | ||||
\(638\) | −10.4562 | + | 32.1809i | −0.413966 | + | 1.27406i | ||||
\(639\) | 3.16356 | + | 9.73642i | 0.125148 | + | 0.385167i | ||||
\(640\) | −7.46673 | + | 5.42490i | −0.295148 | + | 0.214438i | ||||
\(641\) | −11.5274 | − | 35.4776i | −0.455304 | − | 1.40128i | −0.870778 | − | 0.491676i | \(-0.836385\pi\) |
0.415475 | − | 0.909605i | \(-0.363615\pi\) | |||||||
\(642\) | 74.0031 | + | 53.7664i | 2.92067 | + | 2.12199i | ||||
\(643\) | 11.7553 | + | 8.54070i | 0.463582 | + | 0.336812i | 0.794935 | − | 0.606695i | \(-0.207505\pi\) |
−0.331353 | + | 0.943507i | \(0.607505\pi\) | |||||||
\(644\) | 34.3655 | − | 24.9680i | 1.35419 | − | 0.983876i | ||||
\(645\) | −0.461436 | −0.0181690 | ||||||||
\(646\) | 3.11418 | 0.122526 | ||||||||
\(647\) | −23.1968 | + | 16.8535i | −0.911961 | + | 0.662579i | −0.941510 | − | 0.336985i | \(-0.890593\pi\) |
0.0295487 | + | 0.999563i | \(0.490593\pi\) | |||||||
\(648\) | −16.1761 | + | 49.7848i | −0.635456 | + | 1.95573i | ||||
\(649\) | 7.83235 | + | 24.1055i | 0.307447 | + | 0.946224i | ||||
\(650\) | 11.6917 | 0.458588 | ||||||||
\(651\) | 25.3246 | − | 55.6016i | 0.992549 | − | 2.17920i | ||||
\(652\) | 42.0285 | 1.64596 | ||||||||
\(653\) | 3.52643 | + | 10.8532i | 0.138000 | + | 0.424720i | 0.996045 | − | 0.0888550i | \(-0.0283208\pi\) |
−0.858045 | + | 0.513575i | \(0.828321\pi\) | |||||||
\(654\) | −12.3309 | + | 37.9505i | −0.482175 | + | 1.48398i | ||||
\(655\) | 6.91087 | − | 5.02104i | 0.270030 | − | 0.196188i | ||||
\(656\) | −12.6535 | −0.494035 | ||||||||
\(657\) | 19.6790 | 0.767752 | ||||||||
\(658\) | 36.1046 | − | 26.2316i | 1.40751 | − | 1.02261i | ||||
\(659\) | 27.1512 | + | 19.7265i | 1.05766 | + | 0.768434i | 0.973654 | − | 0.228031i | \(-0.0732288\pi\) |
0.0840051 | + | 0.996465i | \(0.473229\pi\) | |||||||
\(660\) | −13.2335 | − | 9.61471i | −0.515114 | − | 0.374252i | ||||
\(661\) | 10.6361 | + | 32.7346i | 0.413697 | + | 1.27323i | 0.913411 | + | 0.407038i | \(0.133438\pi\) |
−0.499715 | + | 0.866190i | \(0.666562\pi\) | |||||||
\(662\) | −0.0464432 | + | 0.0337429i | −0.00180507 | + | 0.00131146i | ||||
\(663\) | 2.93929 | + | 9.04620i | 0.114152 | + | 0.351325i | ||||
\(664\) | 8.27932 | − | 25.4811i | 0.321300 | − | 0.988860i | ||||
\(665\) | 0.672536 | + | 0.488626i | 0.0260798 | + | 0.0189481i | ||||
\(666\) | −21.8075 | + | 67.1165i | −0.845023 | + | 2.60071i | ||||
\(667\) | 3.40896 | − | 10.4917i | 0.131996 | − | 0.406241i | ||||
\(668\) | −55.4402 | − | 40.2796i | −2.14504 | − | 1.55847i | ||||
\(669\) | −5.63104 | + | 17.3306i | −0.217709 | + | 0.670038i | ||||
\(670\) | −5.07819 | − | 15.6291i | −0.196188 | − | 0.603804i | ||||
\(671\) | −33.8279 | + | 24.5774i | −1.30591 | + | 0.948801i | ||||
\(672\) | −10.3996 | − | 32.0067i | −0.401173 | − | 1.23468i | ||||
\(673\) | −30.5449 | − | 22.1921i | −1.17742 | − | 0.855444i | −0.185540 | − | 0.982637i | \(-0.559403\pi\) |
−0.991878 | + | 0.127193i | \(0.959403\pi\) | |||||||
\(674\) | 27.9532 | + | 20.3092i | 1.07672 | + | 0.782280i | ||||
\(675\) | −0.423501 | + | 0.307691i | −0.0163006 | + | 0.0118430i | ||||
\(676\) | 4.28545 | 0.164825 | ||||||||
\(677\) | −48.7286 | −1.87279 | −0.936396 | − | 0.350944i | \(-0.885861\pi\) | ||||
−0.936396 | + | 0.350944i | \(0.885861\pi\) | |||||||
\(678\) | 88.6538 | − | 64.4108i | 3.40473 | − | 2.47368i | ||||
\(679\) | −19.6488 | + | 60.4729i | −0.754053 | + | 2.32074i | ||||
\(680\) | 4.00386 | + | 12.3226i | 0.153541 | + | 0.472550i | ||||
\(681\) | −59.7100 | −2.28809 | ||||||||
\(682\) | 7.51245 | + | 36.8840i | 0.287667 | + | 1.41236i | ||||
\(683\) | −18.9895 | −0.726612 | −0.363306 | − | 0.931670i | \(-0.618352\pi\) | ||||
−0.363306 | + | 0.931670i | \(0.618352\pi\) | |||||||
\(684\) | −1.24655 | − | 3.83648i | −0.0476630 | − | 0.146692i | ||||
\(685\) | 0.951170 | − | 2.92740i | 0.0363424 | − | 0.111850i | ||||
\(686\) | 56.7742 | − | 41.2488i | 2.16765 | − | 1.57489i | ||||
\(687\) | −69.3599 | −2.64624 | ||||||||
\(688\) | 1.88885 | 0.0720119 | ||||||||
\(689\) | −3.45265 | + | 2.50850i | −0.131535 | + | 0.0955661i | ||||
\(690\) | 6.32794 | + | 4.59752i | 0.240901 | + | 0.175025i | ||||
\(691\) | −16.1915 | − | 11.7638i | −0.615952 | − | 0.447515i | 0.235553 | − | 0.971861i | \(-0.424310\pi\) |
−0.851505 | + | 0.524346i | \(0.824310\pi\) | |||||||
\(692\) | 6.07585 | + | 18.6995i | 0.230969 | + | 0.710850i | ||||
\(693\) | −28.9814 | + | 21.0563i | −1.10091 | + | 0.799861i | ||||
\(694\) | 17.6252 | + | 54.2446i | 0.669042 | + | 2.05910i | ||||
\(695\) | 2.23076 | − | 6.86559i | 0.0846177 | − | 0.260427i | ||||
\(696\) | −56.6122 | − | 41.1312i | −2.14588 | − | 1.55907i | ||||
\(697\) | 2.63061 | − | 8.09618i | 0.0996414 | − | 0.306665i | ||||
\(698\) | −9.50557 | + | 29.2551i | −0.359791 | + | 1.10732i | ||||
\(699\) | 11.3797 | + | 8.26780i | 0.430418 | + | 0.312717i | ||||
\(700\) | 27.7732 | − | 85.4771i | 1.04973 | − | 3.23073i | ||||
\(701\) | −3.17885 | − | 9.78349i | −0.120063 | − | 0.369517i | 0.872906 | − | 0.487888i | \(-0.162233\pi\) |
−0.992969 | + | 0.118371i | \(0.962233\pi\) | |||||||
\(702\) | −0.227673 | + | 0.165414i | −0.00859297 | + | 0.00624316i | ||||
\(703\) | 0.938313 | + | 2.88783i | 0.0353891 | + | 0.108917i | ||||
\(704\) | −8.50711 | − | 6.18078i | −0.320624 | − | 0.232947i | ||||
\(705\) | 4.53277 | + | 3.29325i | 0.170714 | + | 0.124031i | ||||
\(706\) | −47.6651 | + | 34.6308i | −1.79390 | + | 1.30335i | ||||
\(707\) | 62.1349 | 2.33682 | ||||||||
\(708\) | −98.2867 | −3.69384 | ||||||||
\(709\) | −2.46844 | + | 1.79343i | −0.0927041 | + | 0.0673535i | −0.633172 | − | 0.774011i | \(-0.718247\pi\) |
0.540468 | + | 0.841365i | \(0.318247\pi\) | |||||||
\(710\) | −1.55752 | + | 4.79356i | −0.0584528 | + | 0.179899i | ||||
\(711\) | 8.75905 | + | 26.9576i | 0.328490 | + | 1.01099i | ||||
\(712\) | 44.1108 | 1.65312 | ||||||||
\(713\) | −2.44923 | − | 12.0250i | −0.0917244 | − | 0.450341i | ||||
\(714\) | 107.242 | 4.01343 | ||||||||
\(715\) | −0.483391 | − | 1.48773i | −0.0180778 | − | 0.0556378i | ||||
\(716\) | −8.04764 | + | 24.7681i | −0.300754 | + | 0.925627i | ||||
\(717\) | −20.3254 | + | 14.7672i | −0.759065 | + | 0.551493i | ||||
\(718\) | 9.93951 | 0.370939 | ||||||||
\(719\) | −3.60253 | −0.134352 | −0.0671759 | − | 0.997741i | \(-0.521399\pi\) | ||||
−0.0671759 | + | 0.997741i | \(0.521399\pi\) | |||||||
\(720\) | 8.03268 | − | 5.83608i | 0.299360 | − | 0.217498i | ||||
\(721\) | −70.6811 | − | 51.3529i | −2.63230 | − | 1.91248i | ||||
\(722\) | 38.3312 | + | 27.8492i | 1.42654 | + | 1.03644i | ||||
\(723\) | 6.79461 | + | 20.9117i | 0.252694 | + | 0.777713i | ||||
\(724\) | −73.5407 | + | 53.4305i | −2.73312 | + | 1.98573i | ||||
\(725\) | −7.21276 | − | 22.1986i | −0.267875 | − | 0.824435i | ||||
\(726\) | −7.04813 | + | 21.6919i | −0.261581 | + | 0.805063i | ||||
\(727\) | −20.4830 | − | 14.8818i | −0.759674 | − | 0.551935i | 0.139137 | − | 0.990273i | \(-0.455567\pi\) |
−0.898810 | + | 0.438338i | \(0.855567\pi\) | |||||||
\(728\) | 7.96267 | − | 24.5066i | 0.295116 | − | 0.908274i | ||||
\(729\) | −8.08565 | + | 24.8851i | −0.299468 | + | 0.921669i | ||||
\(730\) | 7.83827 | + | 5.69484i | 0.290107 | + | 0.210775i | ||||
\(731\) | −0.392685 | + | 1.20856i | −0.0145240 | + | 0.0447002i | ||||
\(732\) | −50.1054 | − | 154.209i | −1.85195 | − | 5.69972i | ||||
\(733\) | 24.3601 | − | 17.6987i | 0.899761 | − | 0.653715i | −0.0386436 | − | 0.999253i | \(-0.512304\pi\) |
0.938405 | + | 0.345538i | \(0.112304\pi\) | |||||||
\(734\) | −10.0240 | − | 30.8506i | −0.369992 | − | 1.13872i | ||||
\(735\) | 15.1438 | + | 11.0026i | 0.558587 | + | 0.405837i | ||||
\(736\) | −5.46868 | − | 3.97323i | −0.201578 | − | 0.146455i | ||||
\(737\) | 24.6508 | − | 17.9099i | 0.908024 | − | 0.659718i | ||||
\(738\) | −16.1732 | −0.595345 | ||||||||
\(739\) | −9.17978 | −0.337684 | −0.168842 | − | 0.985643i | \(-0.554003\pi\) | ||||
−0.168842 | + | 0.985643i | \(0.554003\pi\) | |||||||
\(740\) | −19.1646 | + | 13.9239i | −0.704504 | + | 0.511852i | ||||
\(741\) | 0.240274 | − | 0.739488i | 0.00882669 | − | 0.0271658i | ||||
\(742\) | 14.8690 | + | 45.7621i | 0.545858 | + | 1.67998i | ||||
\(743\) | −42.7682 | −1.56901 | −0.784507 | − | 0.620120i | \(-0.787084\pi\) | ||||
−0.784507 | + | 0.620120i | \(0.787084\pi\) | |||||||
\(744\) | −77.3455 | − | 8.79545i | −2.83562 | − | 0.322457i | ||||
\(745\) | −8.77280 | −0.321411 | ||||||||
\(746\) | −13.7480 | − | 42.3119i | −0.503349 | − | 1.54915i | ||||
\(747\) | 4.26840 | − | 13.1368i | 0.156173 | − | 0.480650i | ||||
\(748\) | −36.4439 | + | 26.4781i | −1.33252 | + | 0.968134i | ||||
\(749\) | 67.2444 | 2.45706 | ||||||||
\(750\) | 34.2931 | 1.25221 | ||||||||
\(751\) | 42.8566 | − | 31.1371i | 1.56386 | − | 1.13621i | 0.631102 | − | 0.775700i | \(-0.282603\pi\) |
0.932756 | − | 0.360509i | \(-0.117397\pi\) | |||||||
\(752\) | −18.5545 | − | 13.4807i | −0.676615 | − | 0.491589i | ||||
\(753\) | −58.9589 | − | 42.8361i | −2.14858 | − | 1.56104i | ||||
\(754\) | −3.87756 | − | 11.9339i | −0.141213 | − | 0.434608i | ||||
\(755\) | 5.63275 | − | 4.09243i | 0.204997 | − | 0.148939i | ||||
\(756\) | 0.668499 | + | 2.05743i | 0.0243131 | + | 0.0748280i | ||||
\(757\) | −8.28208 | + | 25.4896i | −0.301017 | + | 0.926436i | 0.680116 | + | 0.733104i | \(0.261929\pi\) |
−0.981133 | + | 0.193332i | \(0.938071\pi\) | |||||||
\(758\) | 60.0596 | + | 43.6358i | 2.18146 | + | 1.58492i | ||||
\(759\) | −4.48161 | + | 13.7930i | −0.162672 | + | 0.500653i | ||||
\(760\) | 0.327298 | − | 1.00732i | 0.0118723 | − | 0.0365393i | ||||
\(761\) | −24.2591 | − | 17.6252i | −0.879390 | − | 0.638914i | 0.0536999 | − | 0.998557i | \(-0.482899\pi\) |
−0.933090 | + | 0.359643i | \(0.882899\pi\) | |||||||
\(762\) | 10.9844 | − | 33.8067i | 0.397925 | − | 1.22469i | ||||
\(763\) | 9.06478 | + | 27.8985i | 0.328167 | + | 1.00999i | ||||
\(764\) | 88.2639 | − | 64.1275i | 3.19328 | − | 2.32005i | ||||
\(765\) | 2.06419 | + | 6.35291i | 0.0746308 | + | 0.229690i | ||||
\(766\) | −22.1249 | − | 16.0747i | −0.799405 | − | 0.580802i | ||||
\(767\) | −7.60417 | − | 5.52475i | −0.274571 | − | 0.199487i | ||||
\(768\) | 63.3455 | − | 46.0232i | 2.28578 | − | 1.66072i | ||||
\(769\) | 33.3973 | 1.20434 | 0.602169 | − | 0.798369i | \(-0.294304\pi\) | ||||
0.602169 | + | 0.798369i | \(0.294304\pi\) | |||||||
\(770\) | −17.6369 | −0.635588 | ||||||||
\(771\) | 7.31982 | − | 5.31816i | 0.263617 | − | 0.191529i | ||||
\(772\) | −15.5186 | + | 47.7612i | −0.558525 | + | 1.71896i | ||||
\(773\) | −2.21706 | − | 6.82340i | −0.0797420 | − | 0.245421i | 0.903236 | − | 0.429144i | \(-0.141185\pi\) |
−0.982978 | + | 0.183724i | \(0.941185\pi\) | |||||||
\(774\) | 2.41427 | 0.0867790 | ||||||||
\(775\) | −19.1473 | − | 17.5377i | −0.687793 | − | 0.629972i | ||||
\(776\) | 81.0136 | 2.90822 | ||||||||
\(777\) | 32.3123 | + | 99.4470i | 1.15920 | + | 3.56764i | ||||
\(778\) | 0.925544 | − | 2.84853i | 0.0331823 | − | 0.102125i | ||||
\(779\) | −0.562984 | + | 0.409032i | −0.0201710 | + | 0.0146551i | ||||
\(780\) | 6.06599 | 0.217197 | ||||||||
\(781\) | −9.34542 | −0.334405 | ||||||||
\(782\) | 17.4266 | − | 12.6612i | 0.623174 | − | 0.452763i | ||||
\(783\) | 0.454519 | + | 0.330227i | 0.0162432 | + | 0.0118014i | ||||
\(784\) | −61.9899 | − | 45.0383i | −2.21393 | − | 1.60851i | ||||
\(785\) | −2.32756 | − | 7.16351i | −0.0830743 | − | 0.255677i | ||||
\(786\) | −72.8794 | + | 52.9500i | −2.59952 | + | 1.88866i | ||||
\(787\) | −12.3207 | − | 37.9192i | −0.439185 | − | 1.35167i | −0.888737 | − | 0.458418i | \(-0.848416\pi\) |
0.449552 | − | 0.893254i | \(-0.351584\pi\) | |||||||
\(788\) | 8.91464 | − | 27.4364i | 0.317571 | − | 0.977383i | ||||
\(789\) | −48.2629 | − | 35.0650i | −1.71820 | − | 1.24835i | ||||
\(790\) | −4.31237 | + | 13.2721i | −0.153427 | + | 0.472200i | ||||
\(791\) | 24.8935 | − | 76.6144i | 0.885112 | − | 2.72409i | ||||
\(792\) | 36.9252 | + | 26.8278i | 1.31208 | + | 0.953283i | ||||
\(793\) | 4.79164 | − | 14.7472i | 0.170156 | − | 0.523687i | ||||
\(794\) | −6.65660 | − | 20.4869i | −0.236234 | − | 0.727054i | ||||
\(795\) | −4.88717 | + | 3.55074i | −0.173330 | + | 0.125932i | ||||
\(796\) | 2.95629 | + | 9.09851i | 0.104783 | + | 0.322488i | ||||
\(797\) | 33.7200 | + | 24.4990i | 1.19442 | + | 0.867800i | 0.993725 | − | 0.111852i | \(-0.0356783\pi\) |
0.200700 | + | 0.979653i | \(0.435678\pi\) | |||||||
\(798\) | −7.09230 | − | 5.15286i | −0.251065 | − | 0.182409i | ||||
\(799\) | 12.4829 | − | 9.06933i | 0.441612 | − | 0.320850i | ||||
\(800\) | −14.3022 | −0.505661 | ||||||||
\(801\) | 22.7413 | 0.803524 | ||||||||
\(802\) | 7.05884 | − | 5.12855i | 0.249256 | − | 0.181095i | ||||
\(803\) | −5.55126 | + | 17.0850i | −0.195900 | + | 0.602918i | ||||
\(804\) | 36.5124 | + | 112.374i | 1.28769 | + | 3.96312i | ||||
\(805\) | 5.75001 | 0.202661 | ||||||||
\(806\) | −10.2936 | − | 9.42822i | −0.362576 | − | 0.332095i | ||||
\(807\) | −49.1957 | −1.73177 | ||||||||
\(808\) | −24.4636 | − | 75.2914i | −0.860628 | − | 2.64874i | ||||
\(809\) | −6.96164 | + | 21.4257i | −0.244758 | + | 0.753289i | 0.750918 | + | 0.660396i | \(0.229611\pi\) |
−0.995676 | + | 0.0928930i | \(0.970389\pi\) | |||||||
\(810\) | −10.7492 | + | 7.80978i | −0.377690 | + | 0.274408i | ||||
\(811\) | 1.74055 | 0.0611190 | 0.0305595 | − | 0.999533i | \(-0.490271\pi\) | ||||
0.0305595 | + | 0.999533i | \(0.490271\pi\) | |||||||
\(812\) | −96.4587 | −3.38504 | ||||||||
\(813\) | 24.2936 | − | 17.6503i | 0.852013 | − | 0.619024i | ||||
\(814\) | −52.1178 | − | 37.8658i | −1.82673 | − | 1.32720i | ||||
\(815\) | 4.60263 | + | 3.34400i | 0.161223 | + | 0.117135i | ||||
\(816\) | −17.0308 | − | 52.4153i | −0.596196 | − | 1.83490i | ||||
\(817\) | 0.0840398 | − | 0.0610585i | 0.00294018 | − | 0.00213617i | ||||
\(818\) | −0.105339 | − | 0.324200i | −0.00368309 | − | 0.0113354i | ||||
\(819\) | 4.10515 | − | 12.6343i | 0.143446 | − | 0.441480i | ||||
\(820\) | −4.39211 | − | 3.19105i | −0.153379 | − | 0.111436i | ||||
\(821\) | −13.9921 | + | 43.0634i | −0.488329 | + | 1.50292i | 0.338772 | + | 0.940868i | \(0.389988\pi\) |
−0.827101 | + | 0.562053i | \(0.810012\pi\) | |||||||
\(822\) | −10.0307 | + | 30.8712i | −0.349860 | + | 1.07676i | ||||
\(823\) | −10.2018 | − | 7.41203i | −0.355612 | − | 0.258367i | 0.395608 | − | 0.918420i | \(-0.370534\pi\) |
−0.751220 | + | 0.660052i | \(0.770534\pi\) | |||||||
\(824\) | −34.3979 | + | 105.866i | −1.19831 | + | 3.68801i | ||||
\(825\) | 9.48229 | + | 29.1835i | 0.330131 | + | 1.01604i | ||||
\(826\) | −85.7346 | + | 62.2899i | −2.98309 | + | 2.16734i | ||||
\(827\) | 4.84481 | + | 14.9108i | 0.168471 | + | 0.518499i | 0.999275 | − | 0.0380651i | \(-0.0121194\pi\) |
−0.830805 | + | 0.556564i | \(0.812119\pi\) | |||||||
\(828\) | −22.5733 | − | 16.4005i | −0.784478 | − | 0.569956i | ||||
\(829\) | −15.3063 | − | 11.1206i | −0.531608 | − | 0.386236i | 0.289351 | − | 0.957223i | \(-0.406561\pi\) |
−0.820959 | + | 0.570987i | \(0.806561\pi\) | |||||||
\(830\) | 5.50173 | − | 3.99724i | 0.190968 | − | 0.138746i | ||||
\(831\) | 32.8236 | 1.13864 | ||||||||
\(832\) | 3.89950 | 0.135191 | ||||||||
\(833\) | 41.7047 | − | 30.3002i | 1.44498 | − | 1.04984i | ||||
\(834\) | −23.5248 | + | 72.4018i | −0.814596 | + | 2.50707i | ||||
\(835\) | −2.86651 | − | 8.82222i | −0.0991997 | − | 0.305305i | ||||
\(836\) | 3.68241 | 0.127359 | ||||||||
\(837\) | 0.620979 | + | 0.0706155i | 0.0214642 | + | 0.00244083i | ||||
\(838\) | 55.1665 | 1.90569 | ||||||||
\(839\) | 1.62365 | + | 4.99709i | 0.0560547 | + | 0.172519i | 0.975164 | − | 0.221484i | \(-0.0710901\pi\) |
−0.919109 | + | 0.394003i | \(0.871090\pi\) | |||||||
\(840\) | 11.2710 | − | 34.6887i | 0.388888 | − | 1.19687i | ||||
\(841\) | 3.19518 | − | 2.32144i | 0.110179 | − | 0.0800495i | ||||
\(842\) | 3.41162 | 0.117572 | ||||||||
\(843\) | 12.6193 | 0.434633 | ||||||||
\(844\) | −37.1503 | + | 26.9912i | −1.27876 | + | 0.929077i | ||||
\(845\) | 0.469309 | + | 0.340973i | 0.0161447 | + | 0.0117298i | ||||
\(846\) | −23.7157 | − | 17.2305i | −0.815364 | − | 0.592397i | ||||
\(847\) | 5.18129 | + | 15.9464i | 0.178031 | + | 0.547924i | ||||
\(848\) | 20.0053 | − | 14.5347i | 0.686983 | − | 0.499123i | ||||
\(849\) | −4.13177 | − | 12.7163i | −0.141802 | − | 0.436422i | ||||
\(850\) | 14.0837 | − | 43.3452i | 0.483067 | − | 1.48673i | ||||
\(851\) | 16.9916 | + | 12.3451i | 0.582464 | + | 0.423185i | ||||
\(852\) | 11.1987 | − | 34.4659i | 0.383660 | − | 1.18078i | ||||
\(853\) | −9.69403 | + | 29.8352i | −0.331917 | + | 1.02154i | 0.636303 | + | 0.771439i | \(0.280463\pi\) |
−0.968221 | + | 0.250097i | \(0.919537\pi\) | |||||||
\(854\) | −141.437 | − | 102.760i | −4.83989 | − | 3.51638i | ||||
\(855\) | 0.168738 | − | 0.519323i | 0.00577073 | − | 0.0177605i | ||||
\(856\) | −26.4754 | − | 81.4828i | −0.904909 | − | 2.78503i | ||||
\(857\) | −37.6772 | + | 27.3741i | −1.28703 | + | 0.935081i | −0.999741 | − | 0.0227627i | \(-0.992754\pi\) |
−0.287288 | + | 0.957844i | \(0.592754\pi\) | |||||||
\(858\) | 5.09766 | + | 15.6890i | 0.174031 | + | 0.535613i | ||||
\(859\) | 23.3490 | + | 16.9641i | 0.796658 | + | 0.578806i | 0.909932 | − | 0.414758i | \(-0.136134\pi\) |
−0.113274 | + | 0.993564i | \(0.536134\pi\) | |||||||
\(860\) | 0.655634 | + | 0.476346i | 0.0223569 | + | 0.0162433i | ||||
\(861\) | −19.3873 | + | 14.0857i | −0.660716 | + | 0.480039i | ||||
\(862\) | 19.0312 | 0.648204 | ||||||||
\(863\) | 30.1576 | 1.02658 | 0.513288 | − | 0.858216i | \(-0.328427\pi\) | ||||
0.513288 | + | 0.858216i | \(0.328427\pi\) | |||||||
\(864\) | 0.278508 | − | 0.202348i | 0.00947502 | − | 0.00688401i | ||||
\(865\) | −0.822454 | + | 2.53125i | −0.0279643 | + | 0.0860652i | ||||
\(866\) | −1.16103 | − | 3.57328i | −0.0394534 | − | 0.121425i | ||||
\(867\) | −4.40347 | −0.149550 | ||||||||
\(868\) | −93.3807 | + | 52.8590i | −3.16955 | + | 1.79415i | ||||
\(869\) | −25.8750 | −0.877749 | ||||||||
\(870\) | −5.48863 | − | 16.8923i | −0.186082 | − | 0.572702i | ||||
\(871\) | −3.49173 | + | 10.7464i | −0.118313 | + | 0.364129i | ||||
\(872\) | 30.2368 | − | 21.9683i | 1.02395 | − | 0.743941i | ||||
\(873\) | 41.7665 | 1.41358 | ||||||||
\(874\) | −1.76084 | −0.0595614 | ||||||||
\(875\) | 20.3952 | − | 14.8180i | 0.689485 | − | 0.500940i | ||||
\(876\) | −56.3575 | − | 40.9461i | −1.90414 | − | 1.38344i | ||||
\(877\) | 21.1702 | + | 15.3810i | 0.714866 | + | 0.519380i | 0.884740 | − | 0.466085i | \(-0.154336\pi\) |
−0.169874 | + | 0.985466i | \(0.554336\pi\) | |||||||
\(878\) | 14.0612 | + | 43.2760i | 0.474544 | + | 1.46050i | ||||
\(879\) | 12.6872 | − | 9.21776i | 0.427927 | − | 0.310907i | ||||
\(880\) | 2.80086 | + | 8.62015i | 0.0944168 | + | 0.290585i | ||||
\(881\) | 0.522650 | − | 1.60855i | 0.0176085 | − | 0.0541935i | −0.941866 | − | 0.335988i | \(-0.890930\pi\) |
0.959475 | + | 0.281795i | \(0.0909297\pi\) | |||||||
\(882\) | −79.2333 | − | 57.5663i | −2.66792 | − | 1.93836i | ||||
\(883\) | −6.46007 | + | 19.8821i | −0.217399 | + | 0.669084i | 0.781576 | + | 0.623810i | \(0.214416\pi\) |
−0.998975 | + | 0.0452742i | \(0.985584\pi\) | |||||||
\(884\) | 5.16219 | − | 15.8876i | 0.173623 | − | 0.534358i | ||||
\(885\) | −10.7636 | − | 7.82020i | −0.361814 | − | 0.262873i | ||||
\(886\) | −24.9371 | + | 76.7484i | −0.837777 | + | 2.57841i | ||||
\(887\) | −4.77271 | − | 14.6889i | −0.160252 | − | 0.493204i | 0.838403 | − | 0.545050i | \(-0.183490\pi\) |
−0.998655 | + | 0.0518460i | \(0.983490\pi\) | |||||||
\(888\) | 107.782 | − | 78.3082i | 3.61693 | − | 2.62785i | ||||
\(889\) | −8.07499 | − | 24.8523i | −0.270827 | − | 0.833519i | ||||
\(890\) | 9.05799 | + | 6.58101i | 0.303625 | + | 0.220596i | ||||
\(891\) | −19.9308 | − | 14.4806i | −0.667706 | − | 0.485117i | ||||
\(892\) | 25.8914 | − | 18.8112i | 0.866909 | − | 0.629846i | ||||
\(893\) | −1.26131 | −0.0422081 | ||||||||
\(894\) | 92.5145 | 3.09415 | ||||||||
\(895\) | −2.85199 | + | 2.07209i | −0.0953316 | + | 0.0692624i | ||||
\(896\) | 22.1101 | − | 68.0479i | 0.738647 | − | 2.27332i | ||||
\(897\) | −1.66195 | − | 5.11496i | −0.0554909 | − | 0.170784i | ||||
\(898\) | 70.5069 | 2.35285 | ||||||||
\(899\) | −11.5507 | + | 25.3603i | −0.385239 | + | 0.845815i | ||||
\(900\) | −59.0360 | −1.96787 | ||||||||
\(901\) | 5.14082 | + | 15.8218i | 0.171266 | + | 0.527101i | ||||
\(902\) | 4.56231 | − | 14.0413i | 0.151908 | − | 0.467525i | ||||
\(903\) | 2.89404 | − | 2.10265i | 0.0963077 | − | 0.0699717i | ||||
\(904\) | −102.638 | −3.41368 | ||||||||
\(905\) | −12.3048 | −0.409026 | ||||||||
\(906\) | −59.4008 | + | 43.1572i | −1.97346 | + | 1.43380i | ||||
\(907\) | 1.46332 | + | 1.06316i | 0.0485887 | + | 0.0353018i | 0.611815 | − | 0.791001i | \(-0.290440\pi\) |
−0.563226 | + | 0.826303i | \(0.690440\pi\) | |||||||
\(908\) | 84.8392 | + | 61.6393i | 2.81549 | + | 2.04557i | ||||
\(909\) | −12.6122 | − | 38.8164i | −0.418321 | − | 1.28746i | ||||
\(910\) | 5.29131 | − | 3.84436i | 0.175405 | − | 0.127439i | ||||
\(911\) | −3.95234 | − | 12.1640i | −0.130947 | − | 0.403013i | 0.863991 | − | 0.503508i | \(-0.167957\pi\) |
−0.994938 | + | 0.100495i | \(0.967957\pi\) | |||||||
\(912\) | −1.39219 | + | 4.28472i | −0.0461001 | + | 0.141881i | ||||
\(913\) | 10.2011 | + | 7.41152i | 0.337606 | + | 0.245285i | ||||
\(914\) | −11.0750 | + | 34.0854i | −0.366329 | + | 1.12745i | ||||
\(915\) | 6.78249 | − | 20.8744i | 0.224222 | − | 0.690085i | ||||
\(916\) | 98.5503 | + | 71.6010i | 3.25619 | + | 2.36576i | ||||
\(917\) | −20.4641 | + | 62.9821i | −0.675785 | + | 2.07985i | ||||
\(918\) | 0.338994 | + | 1.04332i | 0.0111885 | + | 0.0344346i | ||||
\(919\) | 20.2871 | − | 14.7394i | 0.669208 | − | 0.486208i | −0.200552 | − | 0.979683i | \(-0.564273\pi\) |
0.869760 | + | 0.493475i | \(0.164273\pi\) | |||||||
\(920\) | −2.26389 | − | 6.96753i | −0.0746381 | − | 0.229713i | ||||
\(921\) | −2.82873 | − | 2.05519i | −0.0932098 | − | 0.0677209i | ||||
\(922\) | −26.6429 | − | 19.3572i | −0.877438 | − | 0.637496i | ||||
\(923\) | 2.80376 | − | 2.03705i | 0.0922869 | − | 0.0670503i | ||||
\(924\) | 126.810 | 4.17174 | ||||||||
\(925\) | 44.4381 | 1.46112 | ||||||||
\(926\) | −16.9315 | + | 12.3014i | −0.556403 | + | 0.404251i | ||||
\(927\) | −17.7338 | + | 54.5791i | −0.582455 | + | 1.79261i | ||||
\(928\) | 4.74334 | + | 14.5985i | 0.155708 | + | 0.479219i | ||||
\(929\) | −38.7340 | −1.27082 | −0.635411 | − | 0.772174i | \(-0.719169\pi\) | ||||
−0.635411 | + | 0.772174i | \(0.719169\pi\) | |||||||
\(930\) | −14.5704 | − | 13.3455i | −0.477782 | − | 0.437616i | ||||
\(931\) | −4.21398 | −0.138108 | ||||||||
\(932\) | −7.63389 | − | 23.4947i | −0.250056 | − | 0.769594i | ||||
\(933\) | 1.86247 | − | 5.73208i | 0.0609744 | − | 0.187660i | ||||
\(934\) | 55.3156 | − | 40.1891i | 1.80998 | − | 1.31503i | ||||
\(935\) | −6.09778 | −0.199419 | ||||||||
\(936\) | −16.9258 | −0.553238 | ||||||||
\(937\) | 19.8770 | − | 14.4415i | 0.649354 | − | 0.471783i | −0.213697 | − | 0.976900i | \(-0.568551\pi\) |
0.863051 | + | 0.505117i | \(0.168551\pi\) | |||||||
\(938\) | 103.067 | + | 74.8826i | 3.36526 | + | 2.44500i | ||||
\(939\) | −40.4372 | − | 29.3794i | −1.31962 | − | 0.958759i | ||||
\(940\) | −3.04075 | − | 9.35846i | −0.0991783 | − | 0.305239i | ||||
\(941\) | −31.8350 | + | 23.1295i | −1.03779 | + | 0.753999i | −0.969853 | − | 0.243690i | \(-0.921642\pi\) |
−0.0679379 | + | 0.997690i | \(0.521642\pi\) | |||||||
\(942\) | 24.5456 | + | 75.5436i | 0.799738 | + | 2.46134i | ||||
\(943\) | −1.48742 | + | 4.57779i | −0.0484369 | + | 0.149073i | ||||
\(944\) | 44.0599 | + | 32.0114i | 1.43403 | + | 1.04188i | ||||
\(945\) | −0.0904910 | + | 0.278503i | −0.00294367 | + | 0.00905969i | ||||
\(946\) | −0.681041 | + | 2.09603i | −0.0221425 | + | 0.0681477i | ||||
\(947\) | 45.1445 | + | 32.7994i | 1.46700 | + | 1.06584i | 0.981470 | + | 0.191617i | \(0.0613730\pi\) |
0.485529 | + | 0.874221i | \(0.338627\pi\) | |||||||
\(948\) | 31.0061 | − | 95.4271i | 1.00703 | − | 3.09933i | ||||
\(949\) | −2.05862 | − | 6.33578i | −0.0668256 | − | 0.205668i | ||||
\(950\) | −3.01410 | + | 2.18987i | −0.0977902 | + | 0.0710487i | ||||
\(951\) | 3.15711 | + | 9.71660i | 0.102376 | + | 0.315082i | ||||
\(952\) | −81.2623 | − | 59.0405i | −2.63373 | − | 1.91351i | ||||
\(953\) | −3.21978 | − | 2.33931i | −0.104299 | − | 0.0757775i | 0.534413 | − | 0.845223i | \(-0.320533\pi\) |
−0.638712 | + | 0.769446i | \(0.720533\pi\) | |||||||
\(954\) | 25.5700 | − | 18.5777i | 0.827859 | − | 0.601475i | ||||
\(955\) | 14.7683 | 0.477890 | ||||||||
\(956\) | 44.1238 | 1.42707 | ||||||||
\(957\) | 26.6432 | − | 19.3574i | 0.861252 | − | 0.625736i | ||||
\(958\) | −2.03831 | + | 6.27327i | −0.0658548 | + | 0.202680i | ||||
\(959\) | 7.37384 | + | 22.6944i | 0.238114 | + | 0.732839i | ||||
\(960\) | 5.51968 | 0.178147 | ||||||||
\(961\) | 2.71519 | + | 30.8809i | 0.0875869 | + | 0.996157i | ||||
\(962\) | 23.8898 | 0.770239 | ||||||||
\(963\) | −13.6494 | − | 42.0084i | −0.439845 | − | 1.35370i | ||||
\(964\) | 11.9332 | − | 36.7266i | 0.384342 | − | 1.18288i | ||||
\(965\) | −5.49960 | + | 3.99569i | −0.177038 | + | 0.128626i | ||||
\(966\) | −60.6374 | −1.95098 | ||||||||
\(967\) | 35.5350 | 1.14273 | 0.571364 | − | 0.820697i | \(-0.306414\pi\) | ||||
0.571364 | + | 0.820697i | \(0.306414\pi\) | |||||||
\(968\) | 17.2829 | − | 12.5568i | 0.555494 | − | 0.403590i | ||||
\(969\) | −2.45210 | − | 1.78155i | −0.0787727 | − | 0.0572318i | ||||
\(970\) | 16.6358 | + | 12.0866i | 0.534145 | + | 0.388079i | ||||
\(971\) | 3.37362 | + | 10.3829i | 0.108265 | + | 0.333204i | 0.990483 | − | 0.137637i | \(-0.0439506\pi\) |
−0.882218 | + | 0.470841i | \(0.843951\pi\) | |||||||
\(972\) | 76.1200 | − | 55.3044i | 2.44155 | − | 1.77389i | ||||
\(973\) | 17.2938 | + | 53.2247i | 0.554412 | + | 1.70631i | ||||
\(974\) | 24.9876 | − | 76.9038i | 0.800653 | − | 2.46416i | ||||
\(975\) | −9.20604 | − | 6.68858i | −0.294829 | − | 0.214206i | ||||
\(976\) | −27.7636 | + | 85.4476i | −0.888692 | + | 2.73511i | ||||
\(977\) | 5.24003 | − | 16.1272i | 0.167643 | − | 0.515953i | −0.831578 | − | 0.555408i | \(-0.812562\pi\) |
0.999221 | + | 0.0394548i | \(0.0125621\pi\) | |||||||
\(978\) | −48.5375 | − | 35.2646i | −1.55206 | − | 1.12764i | ||||
\(979\) | −6.41510 | + | 19.7436i | −0.205027 | + | 0.631010i | ||||
\(980\) | −10.1590 | − | 31.2662i | −0.324518 | − | 0.998762i | ||||
\(981\) | 15.5886 | − | 11.3258i | 0.497705 | − | 0.361604i | ||||
\(982\) | 10.7516 | + | 33.0901i | 0.343098 | + | 1.05595i | ||||
\(983\) | 15.6308 | + | 11.3565i | 0.498546 | + | 0.362215i | 0.808461 | − | 0.588549i | \(-0.200301\pi\) |
−0.309916 | + | 0.950764i | \(0.600301\pi\) | |||||||
\(984\) | 24.7013 | + | 17.9466i | 0.787449 | + | 0.572115i | ||||
\(985\) | 3.15925 | − | 2.29533i | 0.100662 | − | 0.0731352i | ||||
\(986\) | −48.9139 | −1.55774 | ||||||||
\(987\) | −43.4352 | −1.38256 | ||||||||
\(988\) | −1.10478 | + | 0.802667i | −0.0351476 | + | 0.0255362i | ||||
\(989\) | 0.222035 | − | 0.683352i | 0.00706029 | − | 0.0217293i | ||||
\(990\) | 3.57995 | + | 11.0180i | 0.113778 | + | 0.350174i | ||||
\(991\) | 31.2827 | 0.993728 | 0.496864 | − | 0.867828i | \(-0.334485\pi\) | ||||
0.496864 | + | 0.867828i | \(0.334485\pi\) | |||||||
\(992\) | 12.5919 | + | 11.5333i | 0.399793 | + | 0.366184i | ||||
\(993\) | 0.0558728 | 0.00177307 | ||||||||
\(994\) | −12.0745 | − | 37.1616i | −0.382981 | − | 1.17869i | ||||
\(995\) | −0.400176 | + | 1.23161i | −0.0126864 | + | 0.0390448i | ||||
\(996\) | −39.5577 | + | 28.7403i | −1.25343 | + | 0.910673i | ||||
\(997\) | −53.1724 | −1.68399 | −0.841994 | − | 0.539487i | \(-0.818618\pi\) | ||||
−0.841994 | + | 0.539487i | \(0.818618\pi\) | |||||||
\(998\) | −21.7998 | −0.690060 | ||||||||
\(999\) | −0.865343 | + | 0.628708i | −0.0273782 | + | 0.0198915i |
(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 | 403.2.k.d.66.12 | ✓ | 48 | |
31.8 | even | 5 | inner | 403.2.k.d.287.12 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.k.d.66.12 | ✓ | 48 | 1.1 | even | 1 | trivial | |
403.2.k.d.287.12 | yes | 48 | 31.8 | even | 5 | inner |