Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(155,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 7, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.cf (of order \(18\), degree \(6\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(108\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 659.99 | ||
Character | \(\chi\) | \(=\) | 756.659 |
Dual form | 756.2.cf.a.491.99 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.34022 | − | 0.451464i | 0.947676 | − | 0.319233i | ||||
\(3\) | 1.50719 | − | 0.853450i | 0.870177 | − | 0.492739i | ||||
\(4\) | 1.59236 | − | 1.21012i | 0.796180 | − | 0.605060i | ||||
\(5\) | 0.248693 | − | 0.683279i | 0.111219 | − | 0.305572i | −0.871579 | − | 0.490255i | \(-0.836904\pi\) |
0.982798 | + | 0.184683i | \(0.0591259\pi\) | |||||||
\(6\) | 1.63466 | − | 1.82425i | 0.667347 | − | 0.744747i | ||||
\(7\) | −0.984808 | − | 0.173648i | −0.372222 | − | 0.0656328i | ||||
\(8\) | 1.58778 | − | 2.34072i | 0.561366 | − | 0.827568i | ||||
\(9\) | 1.54325 | − | 2.57262i | 0.514416 | − | 0.857541i | ||||
\(10\) | 0.0248268 | − | 1.02802i | 0.00785092 | − | 0.325088i | ||||
\(11\) | 0.984832 | − | 0.358450i | 0.296938 | − | 0.108077i | −0.189255 | − | 0.981928i | \(-0.560607\pi\) |
0.486193 | + | 0.873851i | \(0.338385\pi\) | |||||||
\(12\) | 1.36721 | − | 3.18288i | 0.394681 | − | 0.918818i | ||||
\(13\) | −2.69961 | + | 2.26524i | −0.748738 | + | 0.628265i | −0.935169 | − | 0.354203i | \(-0.884752\pi\) |
0.186431 | + | 0.982468i | \(0.440308\pi\) | |||||||
\(14\) | −1.39825 | + | 0.211879i | −0.373698 | + | 0.0566271i | ||||
\(15\) | −0.208316 | − | 1.24208i | −0.0537870 | − | 0.320703i | ||||
\(16\) | 1.07122 | − | 3.85389i | 0.267806 | − | 0.963473i | ||||
\(17\) | −3.34338 | + | 1.93030i | −0.810889 | + | 0.468167i | −0.847265 | − | 0.531171i | \(-0.821752\pi\) |
0.0363753 | + | 0.999338i | \(0.488419\pi\) | |||||||
\(18\) | 0.906838 | − | 4.14459i | 0.213744 | − | 0.976890i | ||||
\(19\) | 2.50054 | + | 1.44369i | 0.573663 | + | 0.331204i | 0.758611 | − | 0.651544i | \(-0.225878\pi\) |
−0.184948 | + | 0.982748i | \(0.559212\pi\) | |||||||
\(20\) | −0.430840 | − | 1.38897i | −0.0963387 | − | 0.310584i | ||||
\(21\) | −1.63249 | + | 0.578763i | −0.356239 | + | 0.126296i | ||||
\(22\) | 1.15806 | − | 0.925017i | 0.246900 | − | 0.197214i | ||||
\(23\) | −0.0714328 | − | 0.405115i | −0.0148948 | − | 0.0844724i | 0.976454 | − | 0.215725i | \(-0.0692113\pi\) |
−0.991349 | + | 0.131252i | \(0.958100\pi\) | |||||||
\(24\) | 0.395407 | − | 4.88300i | 0.0807121 | − | 0.996737i | ||||
\(25\) | 3.42520 | + | 2.87408i | 0.685040 | + | 0.574817i | ||||
\(26\) | −2.59539 | + | 4.25469i | −0.508998 | + | 0.834414i | ||||
\(27\) | 0.130362 | − | 5.19452i | 0.0250882 | − | 0.999685i | ||||
\(28\) | −1.77830 | + | 0.915224i | −0.336068 | + | 0.172961i | ||||
\(29\) | −2.28576 | + | 2.72407i | −0.424455 | + | 0.505846i | −0.935314 | − | 0.353818i | \(-0.884883\pi\) |
0.510859 | + | 0.859665i | \(0.329328\pi\) | |||||||
\(30\) | −0.839943 | − | 1.57061i | −0.153352 | − | 0.286752i | ||||
\(31\) | −3.49380 | + | 0.616051i | −0.627504 | + | 0.110646i | −0.478352 | − | 0.878168i | \(-0.658766\pi\) |
−0.149153 | + | 0.988814i | \(0.547655\pi\) | |||||||
\(32\) | −0.304224 | − | 5.64867i | −0.0537797 | − | 0.998553i | ||||
\(33\) | 1.17841 | − | 1.38076i | 0.205135 | − | 0.240359i | ||||
\(34\) | −3.60939 | + | 4.09644i | −0.619006 | + | 0.702534i | ||||
\(35\) | −0.363565 | + | 0.629713i | −0.0614537 | + | 0.106441i | ||||
\(36\) | −0.655776 | − | 5.96406i | −0.109296 | − | 0.994009i | ||||
\(37\) | 3.18251 | + | 5.51226i | 0.523201 | + | 0.906210i | 0.999635 | + | 0.0270003i | \(0.00859552\pi\) |
−0.476435 | + | 0.879210i | \(0.658071\pi\) | |||||||
\(38\) | 4.00304 | + | 0.805949i | 0.649378 | + | 0.130742i | ||||
\(39\) | −2.13556 | + | 5.71814i | −0.341963 | + | 0.915635i | ||||
\(40\) | −1.20449 | − | 1.66702i | −0.190447 | − | 0.263579i | ||||
\(41\) | 5.89415 | + | 7.02437i | 0.920511 | + | 1.09702i | 0.995007 | + | 0.0998011i | \(0.0318207\pi\) |
−0.0744963 | + | 0.997221i | \(0.523735\pi\) | |||||||
\(42\) | −1.92660 | + | 1.51268i | −0.297281 | + | 0.233412i | ||||
\(43\) | −2.35770 | − | 6.47772i | −0.359545 | − | 0.987843i | −0.979187 | − | 0.202958i | \(-0.934944\pi\) |
0.619642 | − | 0.784885i | \(-0.287278\pi\) | |||||||
\(44\) | 1.13444 | − | 1.76255i | 0.171023 | − | 0.265714i | ||||
\(45\) | −1.37402 | − | 1.69426i | −0.204827 | − | 0.252566i | ||||
\(46\) | −0.278630 | − | 0.510693i | −0.0410818 | − | 0.0752976i | ||||
\(47\) | 1.21462 | − | 6.88845i | 0.177171 | − | 1.00478i | −0.758438 | − | 0.651745i | \(-0.774037\pi\) |
0.935609 | − | 0.353039i | \(-0.114852\pi\) | |||||||
\(48\) | −1.67457 | − | 6.72278i | −0.241703 | − | 0.970350i | ||||
\(49\) | 0.939693 | + | 0.342020i | 0.134242 | + | 0.0488600i | ||||
\(50\) | 5.88806 | + | 2.30554i | 0.832697 | + | 0.326053i | ||||
\(51\) | −3.39170 | + | 5.76274i | −0.474933 | + | 0.806945i | ||||
\(52\) | −1.55754 | + | 6.87394i | −0.215992 | + | 0.953243i | ||||
\(53\) | − | 3.48243i | − | 0.478348i | −0.970977 | − | 0.239174i | \(-0.923123\pi\) | ||
0.970977 | − | 0.239174i | \(-0.0768767\pi\) | |||||||
\(54\) | −2.17042 | − | 7.02063i | −0.295357 | − | 0.955387i | ||||
\(55\) | − | 0.762059i | − | 0.102756i | ||||||
\(56\) | −1.97012 | + | 2.02944i | −0.263268 | + | 0.271195i | ||||
\(57\) | 5.00090 | + | 0.0418266i | 0.662386 | + | 0.00554007i | ||||
\(58\) | −1.83360 | + | 4.68278i | −0.240763 | + | 0.614879i | ||||
\(59\) | 10.3538 | + | 3.76847i | 1.34795 | + | 0.490613i | 0.912307 | − | 0.409508i | \(-0.134300\pi\) |
0.435641 | + | 0.900121i | \(0.356522\pi\) | |||||||
\(60\) | −1.83478 | − | 1.72575i | −0.236869 | − | 0.222793i | ||||
\(61\) | −0.816663 | + | 4.63153i | −0.104563 | + | 0.593006i | 0.886831 | + | 0.462094i | \(0.152902\pi\) |
−0.991394 | + | 0.130912i | \(0.958209\pi\) | |||||||
\(62\) | −4.40432 | + | 2.40297i | −0.559349 | + | 0.305177i | ||||
\(63\) | −1.96653 | + | 2.26556i | −0.247760 | + | 0.285433i | ||||
\(64\) | −2.95790 | − | 7.43309i | −0.369737 | − | 0.929136i | ||||
\(65\) | 0.876418 | + | 2.40794i | 0.108706 | + | 0.298668i | ||||
\(66\) | 0.955964 | − | 2.38252i | 0.117671 | − | 0.293268i | ||||
\(67\) | −5.92692 | − | 7.06343i | −0.724088 | − | 0.862935i | 0.270933 | − | 0.962598i | \(-0.412668\pi\) |
−0.995021 | + | 0.0996634i | \(0.968223\pi\) | |||||||
\(68\) | −2.98797 | + | 7.11963i | −0.362345 | + | 0.863382i | ||||
\(69\) | −0.453409 | − | 0.549622i | −0.0545840 | − | 0.0661667i | ||||
\(70\) | −0.202963 | + | 1.00809i | −0.0242587 | + | 0.120490i | ||||
\(71\) | 0.261119 | + | 0.452272i | 0.0309892 | + | 0.0536748i | 0.881104 | − | 0.472922i | \(-0.156801\pi\) |
−0.850115 | + | 0.526597i | \(0.823468\pi\) | |||||||
\(72\) | −3.57144 | − | 7.69707i | −0.420898 | − | 0.907108i | ||||
\(73\) | −7.28712 | + | 12.6217i | −0.852893 | + | 1.47725i | 0.0256935 | + | 0.999670i | \(0.491821\pi\) |
−0.878586 | + | 0.477584i | \(0.841513\pi\) | |||||||
\(74\) | 6.75383 | + | 5.95084i | 0.785117 | + | 0.691771i | ||||
\(75\) | 7.61532 | + | 1.40856i | 0.879341 | + | 0.162646i | ||||
\(76\) | 5.72879 | − | 0.727081i | 0.657137 | − | 0.0834019i | ||||
\(77\) | −1.03211 | + | 0.181990i | −0.117620 | + | 0.0207396i | ||||
\(78\) | −0.280576 | + | 8.62767i | −0.0317690 | + | 0.976891i | ||||
\(79\) | −7.06066 | + | 8.41457i | −0.794387 | + | 0.946713i | −0.999487 | − | 0.0320280i | \(-0.989803\pi\) |
0.205100 | + | 0.978741i | \(0.434248\pi\) | |||||||
\(80\) | −2.36688 | − | 1.69038i | −0.264625 | − | 0.188990i | ||||
\(81\) | −4.23678 | − | 7.94038i | −0.470753 | − | 0.882265i | ||||
\(82\) | 11.0707 | + | 6.75318i | 1.22255 | + | 0.745764i | ||||
\(83\) | 4.99177 | + | 4.18859i | 0.547918 | + | 0.459758i | 0.874235 | − | 0.485503i | \(-0.161363\pi\) |
−0.326317 | + | 0.945260i | \(0.605808\pi\) | |||||||
\(84\) | −1.89914 | + | 2.89711i | −0.207214 | + | 0.316101i | ||||
\(85\) | 0.487459 | + | 2.76452i | 0.0528723 | + | 0.299854i | ||||
\(86\) | −6.08428 | − | 7.61713i | −0.656085 | − | 0.821376i | ||||
\(87\) | −1.12023 | + | 6.05647i | −0.120101 | + | 0.649322i | ||||
\(88\) | 0.724670 | − | 2.87435i | 0.0772501 | − | 0.306407i | ||||
\(89\) | −4.22928 | − | 2.44177i | −0.448302 | − | 0.258827i | 0.258811 | − | 0.965928i | \(-0.416669\pi\) |
−0.707113 | + | 0.707101i | \(0.750003\pi\) | |||||||
\(90\) | −2.60639 | − | 1.65036i | −0.274737 | − | 0.173963i | ||||
\(91\) | 3.05195 | − | 1.76205i | 0.319932 | − | 0.184713i | ||||
\(92\) | −0.603985 | − | 0.558648i | −0.0629698 | − | 0.0582430i | ||||
\(93\) | −4.74005 | + | 3.91029i | −0.491520 | + | 0.405478i | ||||
\(94\) | −1.48204 | − | 9.78037i | −0.152860 | − | 1.00877i | ||||
\(95\) | 1.60831 | − | 1.34953i | 0.165009 | − | 0.138459i | ||||
\(96\) | −5.27938 | − | 8.25398i | −0.538824 | − | 0.842418i | ||||
\(97\) | −0.917605 | + | 0.333981i | −0.0931687 | + | 0.0339106i | −0.388184 | − | 0.921582i | \(-0.626897\pi\) |
0.295015 | + | 0.955493i | \(0.404675\pi\) | |||||||
\(98\) | 1.41380 | + | 0.0341435i | 0.142816 | + | 0.00344901i | ||||
\(99\) | 0.597683 | − | 3.08678i | 0.0600694 | − | 0.310233i | ||||
\(100\) | 8.93214 | + | 0.431677i | 0.893214 | + | 0.0431677i | ||||
\(101\) | −14.3227 | − | 2.52548i | −1.42516 | − | 0.251295i | −0.592723 | − | 0.805407i | \(-0.701947\pi\) |
−0.832442 | + | 0.554112i | \(0.813058\pi\) | |||||||
\(102\) | −1.94394 | + | 9.25455i | −0.192478 | + | 0.916337i | ||||
\(103\) | 1.98154 | − | 5.44423i | 0.195247 | − | 0.536436i | −0.802977 | − | 0.596010i | \(-0.796752\pi\) |
0.998224 | + | 0.0595736i | \(0.0189741\pi\) | |||||||
\(104\) | 1.01589 | + | 9.91574i | 0.0996167 | + | 0.972318i | ||||
\(105\) | −0.0105332 | + | 1.25938i | −0.00102794 | + | 0.122903i | ||||
\(106\) | −1.57219 | − | 4.66721i | −0.152705 | − | 0.453319i | ||||
\(107\) | 9.31331 | 0.900351 | 0.450176 | − | 0.892940i | \(-0.351361\pi\) | ||||
0.450176 | + | 0.892940i | \(0.351361\pi\) | |||||||
\(108\) | −6.07840 | − | 8.42930i | −0.584894 | − | 0.811109i | ||||
\(109\) | −2.72340 | −0.260855 | −0.130427 | − | 0.991458i | \(-0.541635\pi\) | ||||
−0.130427 | + | 0.991458i | \(0.541635\pi\) | |||||||
\(110\) | −0.344042 | − | 1.02132i | −0.0328032 | − | 0.0973795i | ||||
\(111\) | 9.50108 | + | 5.59192i | 0.901803 | + | 0.530761i | ||||
\(112\) | −1.72417 | + | 3.60933i | −0.162919 | + | 0.341049i | ||||
\(113\) | 4.84130 | − | 13.3014i | 0.455431 | − | 1.25129i | −0.473421 | − | 0.880836i | \(-0.656981\pi\) |
0.928852 | − | 0.370451i | \(-0.120797\pi\) | |||||||
\(114\) | 6.72117 | − | 2.20167i | 0.629496 | − | 0.206205i | ||||
\(115\) | −0.294572 | − | 0.0519409i | −0.0274690 | − | 0.00484352i | ||||
\(116\) | −0.343313 | + | 7.10374i | −0.0318758 | + | 0.659566i | ||||
\(117\) | 1.66145 | + | 10.4409i | 0.153601 | + | 0.965263i | ||||
\(118\) | 15.5776 | + | 0.376202i | 1.43404 | + | 0.0346322i | ||||
\(119\) | 3.62778 | − | 1.32040i | 0.332558 | − | 0.121041i | ||||
\(120\) | −3.23811 | − | 1.48454i | −0.295598 | − | 0.135519i | ||||
\(121\) | −7.58508 | + | 6.36464i | −0.689553 | + | 0.578603i | ||||
\(122\) | 0.996463 | + | 6.57594i | 0.0902155 | + | 0.595358i | ||||
\(123\) | 14.8786 | + | 5.55671i | 1.34155 | + | 0.501031i | ||||
\(124\) | −4.81789 | + | 5.20889i | −0.432659 | + | 0.467772i | ||||
\(125\) | 5.96419 | − | 3.44343i | 0.533454 | − | 0.307990i | ||||
\(126\) | −1.61276 | + | 3.92416i | −0.143676 | + | 0.349592i | ||||
\(127\) | 17.2983 | + | 9.98715i | 1.53497 | + | 0.886216i | 0.999122 | + | 0.0419035i | \(0.0133422\pi\) |
0.535850 | + | 0.844313i | \(0.319991\pi\) | |||||||
\(128\) | −7.32000 | − | 8.62657i | −0.647002 | − | 0.762488i | ||||
\(129\) | −9.08191 | − | 7.75098i | −0.799617 | − | 0.682436i | ||||
\(130\) | 2.26169 | + | 2.83149i | 0.198363 | + | 0.248338i | ||||
\(131\) | 0.132826 | + | 0.753293i | 0.0116050 | + | 0.0658155i | 0.990060 | − | 0.140643i | \(-0.0449171\pi\) |
−0.978455 | + | 0.206459i | \(0.933806\pi\) | |||||||
\(132\) | 0.205575 | − | 3.62468i | 0.0178930 | − | 0.315488i | ||||
\(133\) | −2.21186 | − | 1.85597i | −0.191792 | − | 0.160933i | ||||
\(134\) | −11.1322 | − | 6.79073i | −0.961679 | − | 0.586630i | ||||
\(135\) | −3.51688 | − | 1.38091i | −0.302685 | − | 0.118850i | ||||
\(136\) | −0.790273 | + | 10.8908i | −0.0677653 | + | 0.933879i | ||||
\(137\) | 12.7684 | − | 15.2167i | 1.09087 | − | 1.30005i | 0.140110 | − | 0.990136i | \(-0.455254\pi\) |
0.950764 | − | 0.309917i | \(-0.100301\pi\) | |||||||
\(138\) | −0.855800 | − | 0.531915i | −0.0728505 | − | 0.0452796i | ||||
\(139\) | −17.9157 | + | 3.15902i | −1.51959 | + | 0.267945i | −0.870272 | − | 0.492572i | \(-0.836057\pi\) |
−0.649318 | + | 0.760517i | \(0.724946\pi\) | |||||||
\(140\) | 0.183102 | + | 1.44269i | 0.0154749 | + | 0.121929i | ||||
\(141\) | −4.04828 | − | 11.4188i | −0.340927 | − | 0.961639i | ||||
\(142\) | 0.554141 | + | 0.488256i | 0.0465025 | + | 0.0409736i | ||||
\(143\) | −1.84669 | + | 3.19856i | −0.154428 | + | 0.267477i | ||||
\(144\) | −8.26145 | − | 8.70336i | −0.688454 | − | 0.725280i | ||||
\(145\) | 1.29284 | + | 2.23927i | 0.107365 | + | 0.185961i | ||||
\(146\) | −4.06809 | + | 20.2056i | −0.336677 | + | 1.67223i | ||||
\(147\) | 1.70819 | − | 0.286491i | 0.140889 | − | 0.0236294i | ||||
\(148\) | 11.7382 | + | 4.92629i | 0.964873 | + | 0.404939i | ||||
\(149\) | 2.84105 | + | 3.38583i | 0.232748 | + | 0.277378i | 0.869759 | − | 0.493476i | \(-0.164274\pi\) |
−0.637011 | + | 0.770854i | \(0.719830\pi\) | |||||||
\(150\) | 10.8421 | − | 1.55027i | 0.885253 | − | 0.126579i | ||||
\(151\) | −5.30291 | − | 14.5696i | −0.431545 | − | 1.18566i | −0.944864 | − | 0.327462i | \(-0.893807\pi\) |
0.513320 | − | 0.858197i | \(-0.328415\pi\) | |||||||
\(152\) | 7.34957 | − | 3.56079i | 0.596129 | − | 0.288818i | ||||
\(153\) | −0.193723 | + | 11.5802i | −0.0156615 | + | 0.936203i | ||||
\(154\) | −1.30110 | + | 0.709868i | −0.104845 | + | 0.0572028i | ||||
\(155\) | −0.447949 | + | 2.54045i | −0.0359801 | + | 0.204054i | ||||
\(156\) | 3.51905 | + | 11.6896i | 0.281750 | + | 0.935918i | ||||
\(157\) | −3.80207 | − | 1.38384i | −0.303439 | − | 0.110443i | 0.185813 | − | 0.982585i | \(-0.440508\pi\) |
−0.489252 | + | 0.872142i | \(0.662730\pi\) | |||||||
\(158\) | −5.66394 | + | 14.4650i | −0.450599 | + | 1.15077i | ||||
\(159\) | −2.97208 | − | 5.24868i | −0.235701 | − | 0.416248i | ||||
\(160\) | −3.93527 | − | 1.19692i | −0.311111 | − | 0.0946245i | ||||
\(161\) | 0.411365i | 0.0324201i | ||||||||
\(162\) | −9.26300 | − | 8.72908i | −0.727770 | − | 0.685821i | ||||
\(163\) | 3.62747i | 0.284125i | 0.989858 | + | 0.142063i | \(0.0453735\pi\) | ||||
−0.989858 | + | 0.142063i | \(0.954627\pi\) | |||||||
\(164\) | 17.8859 | + | 4.05271i | 1.39666 | + | 0.316463i | ||||
\(165\) | −0.650379 | − | 1.14857i | −0.0506320 | − | 0.0894159i | ||||
\(166\) | 8.58105 | + | 3.36001i | 0.666019 | + | 0.260788i | ||||
\(167\) | −19.6071 | − | 7.13638i | −1.51724 | − | 0.552230i | −0.556782 | − | 0.830658i | \(-0.687964\pi\) |
−0.960457 | + | 0.278428i | \(0.910186\pi\) | |||||||
\(168\) | −1.23732 | + | 4.74015i | −0.0954615 | + | 0.365711i | ||||
\(169\) | −0.100849 | + | 0.571944i | −0.00775763 | + | 0.0439957i | ||||
\(170\) | 1.90138 | + | 3.48498i | 0.145829 | + | 0.267286i | ||||
\(171\) | 7.57301 | − | 4.20498i | 0.579122 | − | 0.321563i | ||||
\(172\) | −11.5931 | − | 7.46177i | −0.883967 | − | 0.568954i | ||||
\(173\) | 3.22569 | + | 8.86251i | 0.245245 | + | 0.673804i | 0.999845 | + | 0.0176191i | \(0.00560864\pi\) |
−0.754600 | + | 0.656185i | \(0.772169\pi\) | |||||||
\(174\) | 1.23293 | + | 8.62272i | 0.0934684 | + | 0.653687i | ||||
\(175\) | −2.87408 | − | 3.42520i | −0.217260 | − | 0.258921i | ||||
\(176\) | −0.326452 | − | 4.17942i | −0.0246072 | − | 0.315035i | ||||
\(177\) | 18.8213 | − | 3.15663i | 1.41470 | − | 0.237267i | ||||
\(178\) | −6.77052 | − | 1.36314i | −0.507472 | − | 0.102172i | ||||
\(179\) | 3.84045 | + | 6.65186i | 0.287049 | + | 0.497183i | 0.973104 | − | 0.230366i | \(-0.0739924\pi\) |
−0.686055 | + | 0.727550i | \(0.740659\pi\) | |||||||
\(180\) | −4.23820 | − | 1.03514i | −0.315897 | − | 0.0771549i | ||||
\(181\) | −9.00700 | + | 15.6006i | −0.669485 | + | 1.15958i | 0.308563 | + | 0.951204i | \(0.400152\pi\) |
−0.978048 | + | 0.208378i | \(0.933182\pi\) | |||||||
\(182\) | 3.29478 | − | 3.73937i | 0.244225 | − | 0.277181i | ||||
\(183\) | 2.72191 | + | 7.67758i | 0.201209 | + | 0.567543i | ||||
\(184\) | −1.06168 | − | 0.476031i | −0.0782681 | − | 0.0350935i | ||||
\(185\) | 4.55788 | − | 0.803677i | 0.335102 | − | 0.0590875i | ||||
\(186\) | −4.58734 | + | 7.38059i | −0.336360 | + | 0.541171i | ||||
\(187\) | −2.60075 | + | 3.09946i | −0.190186 | + | 0.226655i | ||||
\(188\) | −6.40174 | − | 12.4387i | −0.466895 | − | 0.907188i | ||||
\(189\) | −1.03040 | + | 5.09296i | −0.0749506 | + | 0.370459i | ||||
\(190\) | 1.54622 | − | 2.53476i | 0.112174 | − | 0.183891i | ||||
\(191\) | 5.50799 | + | 4.62175i | 0.398544 | + | 0.334418i | 0.819931 | − | 0.572463i | \(-0.194012\pi\) |
−0.421387 | + | 0.906881i | \(0.638456\pi\) | |||||||
\(192\) | −10.8019 | − | 8.67867i | −0.779559 | − | 0.626329i | ||||
\(193\) | 0.290998 | + | 1.65033i | 0.0209465 | + | 0.118794i | 0.993488 | − | 0.113935i | \(-0.0363456\pi\) |
−0.972542 | + | 0.232729i | \(0.925235\pi\) | |||||||
\(194\) | −1.07901 | + | 0.861872i | −0.0774683 | + | 0.0618788i | ||||
\(195\) | 3.37598 | + | 2.88124i | 0.241759 | + | 0.206330i | ||||
\(196\) | 1.91021 | − | 0.592521i | 0.136444 | − | 0.0423229i | ||||
\(197\) | −7.81292 | − | 4.51079i | −0.556648 | − | 0.321381i | 0.195151 | − | 0.980773i | \(-0.437480\pi\) |
−0.751799 | + | 0.659392i | \(0.770814\pi\) | |||||||
\(198\) | −0.592545 | − | 4.40678i | −0.0421103 | − | 0.313177i | ||||
\(199\) | −8.16891 | + | 4.71632i | −0.579078 | + | 0.334331i | −0.760767 | − | 0.649025i | \(-0.775177\pi\) |
0.181689 | + | 0.983356i | \(0.441844\pi\) | |||||||
\(200\) | 12.1659 | − | 3.45400i | 0.860258 | − | 0.244235i | ||||
\(201\) | −14.9613 | − | 5.58760i | −1.05529 | − | 0.394119i | ||||
\(202\) | −20.3357 | + | 3.08150i | −1.43082 | + | 0.216814i | ||||
\(203\) | 2.72407 | − | 2.28576i | 0.191192 | − | 0.160429i | ||||
\(204\) | 1.57280 | + | 13.2807i | 0.110118 | + | 0.929837i | ||||
\(205\) | 6.26544 | − | 2.28043i | 0.437597 | − | 0.159272i | ||||
\(206\) | 0.197815 | − | 8.19105i | 0.0137824 | − | 0.570697i | ||||
\(207\) | −1.15245 | − | 0.441423i | −0.0801007 | − | 0.0306811i | ||||
\(208\) | 5.83812 | + | 12.8306i | 0.404801 | + | 0.889641i | ||||
\(209\) | 2.98010 | + | 0.525472i | 0.206138 | + | 0.0363477i | ||||
\(210\) | 0.554449 | + | 1.69260i | 0.0382606 | + | 0.116801i | ||||
\(211\) | 2.81564 | − | 7.73591i | 0.193837 | − | 0.532562i | −0.804257 | − | 0.594282i | \(-0.797436\pi\) |
0.998094 | + | 0.0617199i | \(0.0196585\pi\) | |||||||
\(212\) | −4.21415 | − | 5.54528i | −0.289429 | − | 0.380852i | ||||
\(213\) | 0.779548 | + | 0.458808i | 0.0534137 | + | 0.0314370i | ||||
\(214\) | 12.4818 | − | 4.20462i | 0.853241 | − | 0.287422i | ||||
\(215\) | −5.01243 | −0.341845 | ||||||||
\(216\) | −11.9519 | − | 8.55290i | −0.813224 | − | 0.581951i | ||||
\(217\) | 3.54769 | 0.240833 | ||||||||
\(218\) | −3.64995 | + | 1.22952i | −0.247206 | + | 0.0832735i | ||||
\(219\) | −0.211123 | + | 25.2424i | −0.0142664 | + | 1.70573i | ||||
\(220\) | −0.922183 | − | 1.21347i | −0.0621735 | − | 0.0818123i | ||||
\(221\) | 4.65323 | − | 12.7846i | 0.313010 | − | 0.859988i | ||||
\(222\) | 15.2581 | + | 3.20498i | 1.02405 | + | 0.215105i | ||||
\(223\) | −16.0755 | − | 2.83455i | −1.07650 | − | 0.189815i | −0.392831 | − | 0.919611i | \(-0.628504\pi\) |
−0.683666 | + | 0.729795i | \(0.739615\pi\) | |||||||
\(224\) | −0.681279 | + | 5.61568i | −0.0455198 | + | 0.375213i | ||||
\(225\) | 12.6799 | − | 4.37633i | 0.845324 | − | 0.291755i | ||||
\(226\) | 0.483302 | − | 20.0124i | 0.0321488 | − | 1.33120i | ||||
\(227\) | 26.8191 | − | 9.76135i | 1.78005 | − | 0.647883i | 0.780298 | − | 0.625408i | \(-0.215068\pi\) |
0.999747 | − | 0.0224753i | \(-0.00715471\pi\) | |||||||
\(228\) | 8.01385 | − | 5.98509i | 0.530730 | − | 0.396372i | ||||
\(229\) | 2.76139 | − | 2.31708i | 0.182478 | − | 0.153117i | −0.546973 | − | 0.837150i | \(-0.684220\pi\) |
0.729451 | + | 0.684033i | \(0.239776\pi\) | |||||||
\(230\) | −0.418239 | + | 0.0633765i | −0.0275779 | + | 0.00417892i | ||||
\(231\) | −1.40027 | + | 1.15515i | −0.0921313 | + | 0.0760034i | ||||
\(232\) | 2.74697 | + | 9.67554i | 0.180347 | + | 0.635230i | ||||
\(233\) | −13.0504 | + | 7.53464i | −0.854959 | + | 0.493611i | −0.862321 | − | 0.506362i | \(-0.830990\pi\) |
0.00736188 | + | 0.999973i | \(0.497657\pi\) | |||||||
\(234\) | 6.94040 | + | 13.2430i | 0.453708 | + | 0.865722i | ||||
\(235\) | −4.40467 | − | 2.54304i | −0.287329 | − | 0.165889i | ||||
\(236\) | 21.0472 | − | 6.52855i | 1.37006 | − | 0.424972i | ||||
\(237\) | −3.46035 | + | 18.7083i | −0.224774 | + | 1.21523i | ||||
\(238\) | 4.26590 | − | 3.40744i | 0.276517 | − | 0.220872i | ||||
\(239\) | −0.946882 | − | 5.37003i | −0.0612487 | − | 0.347359i | −0.999996 | − | 0.00275286i | \(-0.999124\pi\) |
0.938748 | − | 0.344606i | \(-0.111987\pi\) | |||||||
\(240\) | −5.00999 | − | 0.527714i | −0.323394 | − | 0.0340638i | ||||
\(241\) | −15.1510 | − | 12.7132i | −0.975960 | − | 0.818928i | 0.00751472 | − | 0.999972i | \(-0.497608\pi\) |
−0.983475 | + | 0.181044i | \(0.942052\pi\) | |||||||
\(242\) | −7.29224 | + | 11.9544i | −0.468763 | + | 0.768457i | ||||
\(243\) | −13.1624 | − | 8.35179i | −0.844365 | − | 0.535768i | ||||
\(244\) | 4.30428 | + | 8.36332i | 0.275553 | + | 0.535407i | ||||
\(245\) | 0.467390 | − | 0.557014i | 0.0298605 | − | 0.0355863i | ||||
\(246\) | 22.4491 | + | 0.730057i | 1.43130 | + | 0.0465468i | ||||
\(247\) | −10.0208 | + | 1.76693i | −0.637607 | + | 0.112427i | ||||
\(248\) | −4.10539 | + | 9.15614i | −0.260692 | + | 0.581415i | ||||
\(249\) | 11.0983 | + | 2.05278i | 0.703326 | + | 0.130090i | ||||
\(250\) | 6.43872 | − | 7.30756i | 0.407221 | − | 0.462171i | ||||
\(251\) | −5.83678 | + | 10.1096i | −0.368414 | + | 0.638112i | −0.989318 | − | 0.145775i | \(-0.953432\pi\) |
0.620904 | + | 0.783887i | \(0.286766\pi\) | |||||||
\(252\) | −0.389834 | + | 5.98732i | −0.0245572 | + | 0.377166i | ||||
\(253\) | −0.215563 | − | 0.373366i | −0.0135523 | − | 0.0234733i | ||||
\(254\) | 27.6922 | + | 5.57540i | 1.73757 | + | 0.349832i | ||||
\(255\) | 3.09407 | + | 3.75063i | 0.193758 | + | 0.234874i | ||||
\(256\) | −13.7050 | − | 8.25675i | −0.856560 | − | 0.516047i | ||||
\(257\) | 0.647983 | + | 0.772236i | 0.0404201 | + | 0.0481708i | 0.785876 | − | 0.618384i | \(-0.212213\pi\) |
−0.745456 | + | 0.666555i | \(0.767768\pi\) | |||||||
\(258\) | −15.6710 | − | 6.28784i | −0.975634 | − | 0.391464i | ||||
\(259\) | −2.17696 | − | 5.98115i | −0.135270 | − | 0.371651i | ||||
\(260\) | 4.30947 | + | 2.77374i | 0.267262 | + | 0.172020i | ||||
\(261\) | 3.48050 | + | 10.0843i | 0.215437 | + | 0.624203i | ||||
\(262\) | 0.518100 | + | 0.949609i | 0.0320083 | + | 0.0586670i | ||||
\(263\) | 1.86729 | − | 10.5900i | 0.115142 | − | 0.653004i | −0.871537 | − | 0.490329i | \(-0.836877\pi\) |
0.986680 | − | 0.162675i | \(-0.0520123\pi\) | |||||||
\(264\) | −1.36090 | − | 4.95067i | −0.0837575 | − | 0.304692i | ||||
\(265\) | −2.37947 | − | 0.866057i | −0.146170 | − | 0.0532014i | ||||
\(266\) | −3.80227 | − | 1.48882i | −0.233132 | − | 0.0912857i | ||||
\(267\) | −8.45826 | − | 0.0707432i | −0.517637 | − | 0.00432941i | ||||
\(268\) | −17.9854 | − | 4.07524i | −1.09863 | − | 0.248935i | ||||
\(269\) | 10.0897i | 0.615181i | 0.951519 | + | 0.307590i | \(0.0995227\pi\) | ||||
−0.951519 | + | 0.307590i | \(0.900477\pi\) | |||||||
\(270\) | −5.33682 | − | 0.262978i | −0.324789 | − | 0.0160043i | ||||
\(271\) | 10.3634i | 0.629533i | 0.949169 | + | 0.314767i | \(0.101926\pi\) | ||||
−0.949169 | + | 0.314767i | \(0.898074\pi\) | |||||||
\(272\) | 3.85767 | + | 14.9528i | 0.233906 | + | 0.906648i | ||||
\(273\) | 3.09606 | − | 5.26043i | 0.187382 | − | 0.318376i | ||||
\(274\) | 10.2425 | − | 26.1582i | 0.618775 | − | 1.58027i | ||||
\(275\) | 4.40346 | + | 1.60273i | 0.265539 | + | 0.0966482i | ||||
\(276\) | −1.38710 | − | 0.326518i | −0.0834935 | − | 0.0196541i | ||||
\(277\) | 1.61968 | − | 9.18565i | 0.0973170 | − | 0.551912i | −0.896696 | − | 0.442648i | \(-0.854039\pi\) |
0.994013 | − | 0.109265i | \(-0.0348496\pi\) | |||||||
\(278\) | −22.5847 | + | 12.3221i | −1.35454 | + | 0.739029i | ||||
\(279\) | −3.80692 | + | 9.93894i | −0.227915 | + | 0.595029i | ||||
\(280\) | 0.896718 | + | 1.85085i | 0.0535891 | + | 0.110609i | ||||
\(281\) | −6.90420 | − | 18.9691i | −0.411870 | − | 1.13160i | −0.956195 | − | 0.292729i | \(-0.905437\pi\) |
0.544326 | − | 0.838874i | \(-0.316786\pi\) | |||||||
\(282\) | −10.5808 | − | 13.4760i | −0.630076 | − | 0.802487i | ||||
\(283\) | −2.81653 | − | 3.35661i | −0.167425 | − | 0.199530i | 0.675808 | − | 0.737078i | \(-0.263795\pi\) |
−0.843233 | + | 0.537548i | \(0.819351\pi\) | |||||||
\(284\) | 0.963099 | + | 0.404194i | 0.0571494 | + | 0.0239845i | ||||
\(285\) | 1.27227 | − | 3.40661i | 0.0753628 | − | 0.201790i | ||||
\(286\) | −1.03093 | + | 5.12048i | −0.0609601 | + | 0.302780i | ||||
\(287\) | −4.58483 | − | 7.94116i | −0.270634 | − | 0.468752i | ||||
\(288\) | −15.0014 | − | 7.93463i | −0.883965 | − | 0.467553i | ||||
\(289\) | −1.04786 | + | 1.81495i | −0.0616390 | + | 0.106762i | ||||
\(290\) | 2.74364 | + | 2.41743i | 0.161112 | + | 0.141957i | ||||
\(291\) | −1.09797 | + | 1.28650i | −0.0643641 | + | 0.0754161i | ||||
\(292\) | 3.67000 | + | 28.9165i | 0.214770 | + | 1.69221i | ||||
\(293\) | 16.4076 | − | 2.89309i | 0.958540 | − | 0.169016i | 0.327573 | − | 0.944826i | \(-0.393769\pi\) |
0.630967 | + | 0.775810i | \(0.282658\pi\) | |||||||
\(294\) | 2.16001 | − | 1.15515i | 0.125974 | − | 0.0673696i | ||||
\(295\) | 5.14983 | − | 6.13733i | 0.299835 | − | 0.357329i | ||||
\(296\) | 17.9558 | + | 1.30293i | 1.04366 | + | 0.0757312i | ||||
\(297\) | −1.73359 | − | 5.16246i | −0.100593 | − | 0.299556i | ||||
\(298\) | 5.33620 | + | 3.25511i | 0.309118 | + | 0.188564i | ||||
\(299\) | 1.11053 | + | 0.931842i | 0.0642234 | + | 0.0538898i | ||||
\(300\) | 13.8308 | − | 6.97251i | 0.798524 | − | 0.402558i | ||||
\(301\) | 1.19703 | + | 6.78872i | 0.0689959 | + | 0.391295i | ||||
\(302\) | −13.6847 | − | 17.1324i | −0.787467 | − | 0.985857i | ||||
\(303\) | −23.7425 | + | 8.41735i | −1.36397 | + | 0.483564i | ||||
\(304\) | 8.24245 | − | 8.09030i | 0.472737 | − | 0.464010i | ||||
\(305\) | 2.96153 | + | 1.70984i | 0.169577 | + | 0.0979051i | ||||
\(306\) | 4.96841 | + | 15.6074i | 0.284025 | + | 0.892217i | ||||
\(307\) | 3.18530 | − | 1.83903i | 0.181795 | − | 0.104959i | −0.406341 | − | 0.913722i | \(-0.633195\pi\) |
0.588136 | + | 0.808762i | \(0.299862\pi\) | |||||||
\(308\) | −1.42327 | + | 1.53877i | −0.0810983 | + | 0.0876798i | ||||
\(309\) | −1.65982 | − | 9.89664i | −0.0944241 | − | 0.563000i | ||||
\(310\) | 0.546571 | + | 3.60698i | 0.0310432 | + | 0.204863i | ||||
\(311\) | 24.8947 | − | 20.8891i | 1.41165 | − | 1.18451i | 0.456011 | − | 0.889974i | \(-0.349278\pi\) |
0.955639 | − | 0.294541i | \(-0.0951667\pi\) | |||||||
\(312\) | 9.99373 | + | 14.0779i | 0.565784 | + | 0.797003i | ||||
\(313\) | 9.66614 | − | 3.51819i | 0.546363 | − | 0.198860i | −0.0540669 | − | 0.998537i | \(-0.517218\pi\) |
0.600430 | + | 0.799678i | \(0.294996\pi\) | |||||||
\(314\) | −5.72036 | − | 0.138147i | −0.322818 | − | 0.00779611i | ||||
\(315\) | 1.05894 | + | 1.90712i | 0.0596648 | + | 0.107454i | ||||
\(316\) | −1.06048 | + | 21.9433i | −0.0596569 | + | 1.23441i | ||||
\(317\) | −7.62546 | − | 1.34457i | −0.428288 | − | 0.0755188i | −0.0446510 | − | 0.999003i | \(-0.514218\pi\) |
−0.383637 | + | 0.923484i | \(0.625329\pi\) | |||||||
\(318\) | −6.35282 | − | 5.69259i | −0.356249 | − | 0.319224i | ||||
\(319\) | −1.27465 | + | 3.50208i | −0.0713668 | + | 0.196079i | ||||
\(320\) | −5.81448 | + | 0.172509i | −0.325040 | + | 0.00964357i | ||||
\(321\) | 14.0369 | − | 7.94844i | 0.783465 | − | 0.443639i | ||||
\(322\) | 0.185717 | + | 0.551318i | 0.0103496 | + | 0.0307238i | ||||
\(323\) | −11.1470 | −0.620236 | ||||||||
\(324\) | −16.3553 | − | 7.51694i | −0.908627 | − | 0.417608i | ||||
\(325\) | −15.7572 | −0.874053 | ||||||||
\(326\) | 1.63767 | + | 4.86160i | 0.0907023 | + | 0.269259i | ||||
\(327\) | −4.10469 | + | 2.32429i | −0.226990 | + | 0.128533i | ||||
\(328\) | 25.8007 | − | 2.64335i | 1.42460 | − | 0.145955i | ||||
\(329\) | −2.39233 | + | 6.57288i | −0.131894 | + | 0.362375i | ||||
\(330\) | −1.39019 | − | 1.24571i | −0.0765273 | − | 0.0685739i | ||||
\(331\) | −28.1077 | − | 4.95615i | −1.54494 | − | 0.272415i | −0.664761 | − | 0.747056i | \(-0.731467\pi\) |
−0.880179 | + | 0.474642i | \(0.842578\pi\) | |||||||
\(332\) | 13.0174 | + | 0.629111i | 0.714422 | + | 0.0345269i | ||||
\(333\) | 19.0924 | + | 0.319392i | 1.04625 | + | 0.0175026i | ||||
\(334\) | −29.4995 | − | 0.712418i | −1.61414 | − | 0.0389818i | ||||
\(335\) | −6.30028 | + | 2.29311i | −0.344221 | + | 0.125286i | ||||
\(336\) | 0.481727 | + | 6.91144i | 0.0262804 | + | 0.377050i | ||||
\(337\) | 24.6644 | − | 20.6959i | 1.34356 | − | 1.12738i | 0.362860 | − | 0.931844i | \(-0.381800\pi\) |
0.980697 | − | 0.195534i | \(-0.0626441\pi\) | |||||||
\(338\) | 0.123053 | + | 0.812059i | 0.00669318 | + | 0.0441702i | ||||
\(339\) | −4.05528 | − | 24.1795i | −0.220253 | − | 1.31325i | ||||
\(340\) | 4.12160 | + | 3.81222i | 0.223525 | + | 0.206747i | ||||
\(341\) | −3.21998 | + | 1.85906i | −0.174372 | + | 0.100674i | ||||
\(342\) | 8.25107 | − | 9.05452i | 0.446167 | − | 0.489613i | ||||
\(343\) | −0.866025 | − | 0.500000i | −0.0467610 | − | 0.0269975i | ||||
\(344\) | −18.9060 | − | 4.76651i | −1.01934 | − | 0.256993i | ||||
\(345\) | −0.488305 | + | 0.173117i | −0.0262894 | + | 0.00932032i | ||||
\(346\) | 8.32423 | + | 10.4214i | 0.447513 | + | 0.560258i | ||||
\(347\) | −4.30964 | − | 24.4412i | −0.231354 | − | 1.31207i | −0.850158 | − | 0.526528i | \(-0.823494\pi\) |
0.618804 | − | 0.785545i | \(-0.287617\pi\) | |||||||
\(348\) | 5.54525 | + | 10.9997i | 0.297256 | + | 0.589645i | ||||
\(349\) | −11.5464 | − | 9.68854i | −0.618062 | − | 0.518616i | 0.279132 | − | 0.960253i | \(-0.409953\pi\) |
−0.897194 | + | 0.441637i | \(0.854398\pi\) | |||||||
\(350\) | −5.39825 | − | 3.29296i | −0.288549 | − | 0.176016i | ||||
\(351\) | 11.4149 | + | 14.3185i | 0.609283 | + | 0.764264i | ||||
\(352\) | −2.32437 | − | 5.45394i | −0.123889 | − | 0.290696i | ||||
\(353\) | 14.0039 | − | 16.6892i | 0.745351 | − | 0.888275i | −0.251477 | − | 0.967863i | \(-0.580916\pi\) |
0.996828 | + | 0.0795883i | \(0.0253606\pi\) | |||||||
\(354\) | 23.7995 | − | 12.7277i | 1.26493 | − | 0.676471i | ||||
\(355\) | 0.373967 | − | 0.0659404i | 0.0198481 | − | 0.00349975i | ||||
\(356\) | −9.68937 | + | 1.22975i | −0.513535 | + | 0.0651764i | ||||
\(357\) | 4.34086 | − | 5.08623i | 0.229743 | − | 0.269192i | ||||
\(358\) | 8.15012 | + | 7.18111i | 0.430747 | + | 0.379533i | ||||
\(359\) | −5.37670 | + | 9.31272i | −0.283771 | + | 0.491507i | −0.972311 | − | 0.233693i | \(-0.924919\pi\) |
0.688539 | + | 0.725199i | \(0.258252\pi\) | |||||||
\(360\) | −6.14744 | + | 0.526081i | −0.323998 | + | 0.0277269i | ||||
\(361\) | −5.33154 | − | 9.23449i | −0.280607 | − | 0.486026i | ||||
\(362\) | −5.02823 | + | 24.9745i | −0.264278 | + | 1.31263i | ||||
\(363\) | −6.00026 | + | 16.0662i | −0.314932 | + | 0.843257i | ||||
\(364\) | 2.72752 | − | 6.49904i | 0.142961 | − | 0.340642i | ||||
\(365\) | 6.81186 | + | 8.11806i | 0.356549 | + | 0.424919i | ||||
\(366\) | 7.11410 | + | 9.06077i | 0.371860 | + | 0.473614i | ||||
\(367\) | −1.58221 | − | 4.34709i | −0.0825908 | − | 0.226916i | 0.891523 | − | 0.452976i | \(-0.149638\pi\) |
−0.974113 | + | 0.226060i | \(0.927416\pi\) | |||||||
\(368\) | −1.63779 | − | 0.158675i | −0.0853758 | − | 0.00827148i | ||||
\(369\) | 27.1672 | − | 4.32308i | 1.41427 | − | 0.225051i | ||||
\(370\) | 5.74571 | − | 3.13482i | 0.298705 | − | 0.162972i | ||||
\(371\) | −0.604717 | + | 3.42952i | −0.0313954 | + | 0.178052i | ||||
\(372\) | −2.81595 | + | 11.9626i | −0.146000 | + | 0.620232i | ||||
\(373\) | −7.64425 | − | 2.78228i | −0.395804 | − | 0.144061i | 0.136447 | − | 0.990647i | \(-0.456432\pi\) |
−0.532251 | + | 0.846586i | \(0.678654\pi\) | |||||||
\(374\) | −2.08628 | + | 5.32809i | −0.107879 | + | 0.275509i | ||||
\(375\) | 6.05038 | − | 10.2800i | 0.312440 | − | 0.530859i | ||||
\(376\) | −14.1954 | − | 13.7804i | −0.732069 | − | 0.710672i | ||||
\(377\) | − | 12.5317i | − | 0.645417i | ||||||
\(378\) | 0.918331 | + | 7.29086i | 0.0472339 | + | 0.375001i | ||||
\(379\) | 3.34192i | 0.171663i | 0.996310 | + | 0.0858315i | \(0.0273547\pi\) | ||||
−0.996310 | + | 0.0858315i | \(0.972645\pi\) | |||||||
\(380\) | 0.927913 | − | 4.09518i | 0.0476009 | − | 0.210078i | ||||
\(381\) | 34.5953 | + | 0.289348i | 1.77237 | + | 0.0148238i | ||||
\(382\) | 9.46845 | + | 3.70749i | 0.484448 | + | 0.189692i | ||||
\(383\) | −12.6137 | − | 4.59100i | −0.644529 | − | 0.234589i | −0.000986013 | − | 1.00000i | \(-0.500314\pi\) |
−0.643543 | + | 0.765410i | \(0.722536\pi\) | |||||||
\(384\) | −18.3950 | − | 6.75463i | −0.938714 | − | 0.344696i | ||||
\(385\) | −0.132330 | + | 0.750482i | −0.00674417 | + | 0.0382481i | ||||
\(386\) | 1.13507 | + | 2.08043i | 0.0577734 | + | 0.105891i | ||||
\(387\) | −20.3032 | − | 3.93125i | −1.03207 | − | 0.199837i | ||||
\(388\) | −1.05700 | + | 1.64223i | −0.0536611 | + | 0.0833716i | ||||
\(389\) | −1.50596 | − | 4.13760i | −0.0763554 | − | 0.209785i | 0.895642 | − | 0.444775i | \(-0.146716\pi\) |
−0.971998 | + | 0.234990i | \(0.924494\pi\) | |||||||
\(390\) | 5.82533 | + | 2.33735i | 0.294977 | + | 0.118357i | ||||
\(391\) | 1.02082 | + | 1.21657i | 0.0516252 | + | 0.0615245i | ||||
\(392\) | 2.29260 | − | 1.65650i | 0.115794 | − | 0.0836659i | ||||
\(393\) | 0.843091 | + | 1.02200i | 0.0425283 | + | 0.0515528i | ||||
\(394\) | −12.5075 | − | 2.51818i | −0.630117 | − | 0.126864i | ||||
\(395\) | 3.99356 | + | 6.91705i | 0.200938 | + | 0.348034i | ||||
\(396\) | −2.78364 | − | 5.63853i | −0.139883 | − | 0.283347i | ||||
\(397\) | −7.64138 | + | 13.2353i | −0.383510 | + | 0.664259i | −0.991561 | − | 0.129639i | \(-0.958618\pi\) |
0.608051 | + | 0.793898i | \(0.291951\pi\) | |||||||
\(398\) | −8.81885 | + | 10.0089i | −0.442049 | + | 0.501699i | ||||
\(399\) | −4.91766 | − | 0.909589i | −0.246191 | − | 0.0455364i | ||||
\(400\) | 14.7456 | − | 10.1216i | 0.737278 | − | 0.506078i | ||||
\(401\) | 16.4477 | − | 2.90018i | 0.821360 | − | 0.144828i | 0.252851 | − | 0.967505i | \(-0.418632\pi\) |
0.568509 | + | 0.822677i | \(0.307521\pi\) | |||||||
\(402\) | −22.5739 | − | 0.734116i | −1.12589 | − | 0.0366144i | ||||
\(403\) | 8.03639 | − | 9.57740i | 0.400321 | − | 0.477084i | ||||
\(404\) | −25.8631 | + | 13.3107i | −1.28674 | + | 0.662234i | ||||
\(405\) | −6.47916 | + | 0.920182i | −0.321952 | + | 0.0457242i | ||||
\(406\) | 2.61890 | − | 4.29323i | 0.129974 | − | 0.213070i | ||||
\(407\) | 5.11010 | + | 4.28789i | 0.253298 | + | 0.212543i | ||||
\(408\) | 8.10367 | + | 17.0890i | 0.401191 | + | 0.846031i | ||||
\(409\) | −5.92586 | − | 33.6073i | −0.293015 | − | 1.66177i | −0.675162 | − | 0.737670i | \(-0.735926\pi\) |
0.382146 | − | 0.924102i | \(-0.375185\pi\) | |||||||
\(410\) | 7.36751 | − | 5.88490i | 0.363855 | − | 0.290634i | ||||
\(411\) | 6.25762 | − | 33.8317i | 0.308666 | − | 1.66879i | ||||
\(412\) | −3.43285 | − | 11.0671i | −0.169124 | − | 0.545236i | ||||
\(413\) | −9.54209 | − | 5.50913i | −0.469536 | − | 0.271087i | ||||
\(414\) | −1.74382 | − | 0.0713142i | −0.0857039 | − | 0.00350490i | ||||
\(415\) | 4.10340 | − | 2.36910i | 0.201428 | − | 0.116294i | ||||
\(416\) | 13.6169 | + | 14.5601i | 0.667623 | + | 0.713866i | ||||
\(417\) | −24.3063 | + | 20.0514i | −1.19029 | + | 0.981921i | ||||
\(418\) | 4.23121 | − | 0.641162i | 0.206955 | − | 0.0313603i | ||||
\(419\) | 0.298329 | − | 0.250328i | 0.0145743 | − | 0.0122293i | −0.635471 | − | 0.772124i | \(-0.719194\pi\) |
0.650046 | + | 0.759895i | \(0.274750\pi\) | |||||||
\(420\) | 1.50723 | + | 2.01814i | 0.0735453 | + | 0.0984750i | ||||
\(421\) | 16.2670 | − | 5.92070i | 0.792804 | − | 0.288557i | 0.0863029 | − | 0.996269i | \(-0.472495\pi\) |
0.706501 | + | 0.707712i | \(0.250272\pi\) | |||||||
\(422\) | 0.281082 | − | 11.6390i | 0.0136829 | − | 0.566576i | ||||
\(423\) | −15.8469 | − | 13.7553i | −0.770504 | − | 0.668807i | ||||
\(424\) | −8.15138 | − | 5.52934i | −0.395866 | − | 0.268528i | ||||
\(425\) | −16.9996 | − | 2.99749i | −0.824602 | − | 0.145400i | ||||
\(426\) | 1.25190 | + | 0.262964i | 0.0606547 | + | 0.0127406i | ||||
\(427\) | 1.60851 | − | 4.41935i | 0.0778414 | − | 0.213867i | ||||
\(428\) | 14.8301 | − | 11.2702i | 0.716842 | − | 0.544766i | ||||
\(429\) | −0.0535024 | + | 6.39690i | −0.00258312 | + | 0.308845i | ||||
\(430\) | −6.71774 | + | 2.26293i | −0.323958 | + | 0.109128i | ||||
\(431\) | 18.3668 | 0.884699 | 0.442349 | − | 0.896843i | \(-0.354145\pi\) | ||||
0.442349 | + | 0.896843i | \(0.354145\pi\) | |||||||
\(432\) | −19.8795 | − | 6.06688i | −0.956451 | − | 0.291893i | ||||
\(433\) | 24.7083 | 1.18741 | 0.593703 | − | 0.804684i | \(-0.297665\pi\) | ||||
0.593703 | + | 0.804684i | \(0.297665\pi\) | |||||||
\(434\) | 4.75468 | − | 1.60166i | 0.228232 | − | 0.0768820i | ||||
\(435\) | 3.85967 | + | 2.27163i | 0.185057 | + | 0.108916i | ||||
\(436\) | −4.33664 | + | 3.29564i | −0.207687 | + | 0.157833i | ||||
\(437\) | 0.406239 | − | 1.11613i | 0.0194331 | − | 0.0533919i | ||||
\(438\) | 11.1131 | + | 33.9256i | 0.531005 | + | 1.62103i | ||||
\(439\) | 16.9632 | + | 2.99107i | 0.809610 | + | 0.142756i | 0.563105 | − | 0.826386i | \(-0.309607\pi\) |
0.246505 | + | 0.969142i | \(0.420718\pi\) | |||||||
\(440\) | −1.78376 | − | 1.20998i | −0.0850376 | − | 0.0576837i | ||||
\(441\) | 2.33007 | − | 1.88965i | 0.110956 | − | 0.0899835i | ||||
\(442\) | 0.464527 | − | 19.2350i | 0.0220953 | − | 0.914914i | ||||
\(443\) | −18.4726 | + | 6.72347i | −0.877658 | + | 0.319441i | −0.741264 | − | 0.671213i | \(-0.765774\pi\) |
−0.136394 | + | 0.990655i | \(0.543551\pi\) | |||||||
\(444\) | 21.8960 | − | 2.59309i | 1.03914 | − | 0.123063i | ||||
\(445\) | −2.72020 | + | 2.28252i | −0.128950 | + | 0.108202i | ||||
\(446\) | −22.8244 | + | 3.45861i | −1.08077 | + | 0.163770i | ||||
\(447\) | 7.17164 | + | 2.67840i | 0.339207 | + | 0.126684i | ||||
\(448\) | 1.62222 | + | 7.83380i | 0.0766426 | + | 0.370112i | ||||
\(449\) | −20.5121 | + | 11.8427i | −0.968028 | + | 0.558891i | −0.898635 | − | 0.438698i | \(-0.855440\pi\) |
−0.0693937 | + | 0.997589i | \(0.522106\pi\) | |||||||
\(450\) | 15.0180 | − | 11.5897i | 0.707956 | − | 0.546345i | ||||
\(451\) | 8.32263 | + | 4.80507i | 0.391897 | + | 0.226262i | ||||
\(452\) | −8.38714 | − | 27.0391i | −0.394498 | − | 1.27181i | ||||
\(453\) | −20.4269 | − | 17.4334i | −0.959741 | − | 0.819094i | ||||
\(454\) | 31.5365 | − | 25.1902i | 1.48008 | − | 1.18223i | ||||
\(455\) | −0.444969 | − | 2.52355i | −0.0208605 | − | 0.118306i | ||||
\(456\) | 8.03825 | − | 11.6393i | 0.376425 | − | 0.545059i | ||||
\(457\) | 30.9648 | + | 25.9826i | 1.44847 | + | 1.21541i | 0.933684 | + | 0.358098i | \(0.116574\pi\) |
0.514790 | + | 0.857316i | \(0.327870\pi\) | |||||||
\(458\) | 2.65478 | − | 4.35206i | 0.124050 | − | 0.203359i | ||||
\(459\) | 9.59114 | + | 17.6189i | 0.447676 | + | 0.822380i | ||||
\(460\) | −0.531919 | + | 0.273758i | −0.0248009 | + | 0.0127640i | ||||
\(461\) | 5.77679 | − | 6.88451i | 0.269052 | − | 0.320644i | −0.614554 | − | 0.788875i | \(-0.710664\pi\) |
0.883606 | + | 0.468231i | \(0.155108\pi\) | |||||||
\(462\) | −1.35516 | + | 2.18033i | −0.0630478 | + | 0.101438i | ||||
\(463\) | −17.9951 | + | 3.17301i | −0.836301 | + | 0.147462i | −0.575368 | − | 0.817895i | \(-0.695141\pi\) |
−0.260933 | + | 0.965357i | \(0.584030\pi\) | |||||||
\(464\) | 8.04969 | + | 11.7272i | 0.373698 | + | 0.544420i | ||||
\(465\) | 1.49300 | + | 4.21124i | 0.0692361 | + | 0.195291i | ||||
\(466\) | −14.0887 | + | 15.9898i | −0.652647 | + | 0.740715i | ||||
\(467\) | −3.15611 | + | 5.46654i | −0.146047 | + | 0.252961i | −0.929763 | − | 0.368158i | \(-0.879989\pi\) |
0.783716 | + | 0.621120i | \(0.213322\pi\) | |||||||
\(468\) | 15.2804 | + | 14.6151i | 0.706336 | + | 0.675585i | ||||
\(469\) | 4.61032 | + | 7.98532i | 0.212885 | + | 0.368728i | ||||
\(470\) | −7.05130 | − | 1.41967i | −0.325252 | − | 0.0654844i | ||||
\(471\) | −6.91149 | + | 1.15917i | −0.318465 | + | 0.0534116i | ||||
\(472\) | 25.2605 | − | 18.2517i | 1.16271 | − | 0.840105i | ||||
\(473\) | −4.64387 | − | 5.53435i | −0.213525 | − | 0.254470i | ||||
\(474\) | 3.80850 | + | 26.6354i | 0.174930 | + | 1.22340i | ||||
\(475\) | 4.41557 | + | 12.1317i | 0.202600 | + | 0.556639i | ||||
\(476\) | 4.17889 | − | 6.49261i | 0.191539 | − | 0.297588i | ||||
\(477\) | −8.95898 | − | 5.37425i | −0.410203 | − | 0.246070i | ||||
\(478\) | −3.69340 | − | 6.76952i | −0.168932 | − | 0.309631i | ||||
\(479\) | 3.64187 | − | 20.6541i | 0.166401 | − | 0.943708i | −0.781207 | − | 0.624273i | \(-0.785395\pi\) |
0.947608 | − | 0.319436i | \(-0.103493\pi\) | |||||||
\(480\) | −6.95272 | + | 1.55458i | −0.317347 | + | 0.0709565i | ||||
\(481\) | −21.0781 | − | 7.67182i | −0.961081 | − | 0.349805i | ||||
\(482\) | −26.0451 | − | 10.1983i | −1.18632 | − | 0.464519i | ||||
\(483\) | 0.351079 | + | 0.620005i | 0.0159747 | + | 0.0282112i | ||||
\(484\) | −4.37621 | + | 19.3136i | −0.198919 | + | 0.877893i | ||||
\(485\) | 0.710039i | 0.0322412i | ||||||||
\(486\) | −21.4109 | − | 5.25088i | −0.971220 | − | 0.238185i | ||||
\(487\) | − | 27.6894i | − | 1.25473i | −0.778726 | − | 0.627364i | \(-0.784134\pi\) | ||
0.778726 | − | 0.627364i | \(-0.215866\pi\) | |||||||
\(488\) | 9.54440 | + | 9.26543i | 0.432055 | + | 0.419426i | ||||
\(489\) | 3.09586 | + | 5.46729i | 0.140000 | + | 0.247239i | ||||
\(490\) | 0.374932 | − | 0.957530i | 0.0169377 | − | 0.0432568i | ||||
\(491\) | −10.0658 | − | 3.66367i | −0.454265 | − | 0.165339i | 0.104746 | − | 0.994499i | \(-0.466597\pi\) |
−0.559011 | + | 0.829160i | \(0.688819\pi\) | |||||||
\(492\) | 30.4163 | − | 9.15654i | 1.37127 | − | 0.412809i | ||||
\(493\) | 2.38391 | − | 13.5198i | 0.107366 | − | 0.608901i | ||||
\(494\) | −12.6323 | + | 6.89210i | −0.568355 | + | 0.310090i | ||||
\(495\) | −1.96049 | − | 1.17605i | −0.0881175 | − | 0.0528593i | ||||
\(496\) | −1.36844 | + | 14.1246i | −0.0614448 | + | 0.634215i | ||||
\(497\) | −0.178616 | − | 0.490744i | −0.00801203 | − | 0.0220129i | ||||
\(498\) | 15.8009 | − | 2.25931i | 0.708054 | − | 0.101242i | ||||
\(499\) | 15.0884 | + | 17.9816i | 0.675448 | + | 0.804967i | 0.989515 | − | 0.144434i | \(-0.0461360\pi\) |
−0.314067 | + | 0.949401i | \(0.601692\pi\) | |||||||
\(500\) | 5.33018 | − | 12.7006i | 0.238373 | − | 0.567986i | ||||
\(501\) | −35.6421 | + | 5.97775i | −1.59237 | + | 0.267066i | ||||
\(502\) | −3.25843 | + | 16.1841i | −0.145431 | + | 0.722334i | ||||
\(503\) | −9.53287 | − | 16.5114i | −0.425050 | − | 0.736207i | 0.571375 | − | 0.820689i | \(-0.306410\pi\) |
−0.996425 | + | 0.0844813i | \(0.973077\pi\) | |||||||
\(504\) | 2.18060 | + | 8.20030i | 0.0971316 | + | 0.365271i | ||||
\(505\) | −5.28758 | + | 9.15835i | −0.235294 | + | 0.407541i | ||||
\(506\) | −0.457462 | − | 0.403072i | −0.0203367 | − | 0.0179187i | ||||
\(507\) | 0.336127 | + | 0.948099i | 0.0149279 | + | 0.0421066i | ||||
\(508\) | 39.6307 | − | 5.02981i | 1.75833 | − | 0.223162i | ||||
\(509\) | −35.7698 | + | 6.30719i | −1.58547 | + | 0.279561i | −0.895764 | − | 0.444529i | \(-0.853371\pi\) |
−0.689705 | + | 0.724090i | \(0.742260\pi\) | |||||||
\(510\) | 5.84000 | + | 3.62980i | 0.258599 | + | 0.160730i | ||||
\(511\) | 9.36814 | − | 11.1645i | 0.414422 | − | 0.493889i | ||||
\(512\) | −22.0952 | − | 4.87853i | −0.976481 | − | 0.215603i | ||||
\(513\) | 7.82523 | − | 12.8009i | 0.345492 | − | 0.565173i | ||||
\(514\) | 1.21707 | + | 0.742423i | 0.0536829 | + | 0.0327469i | ||||
\(515\) | −3.22714 | − | 2.70789i | −0.142205 | − | 0.119324i | ||||
\(516\) | −23.8413 | − | 1.35216i | −1.04955 | − | 0.0595256i | ||||
\(517\) | −1.27297 | − | 7.21935i | −0.0559850 | − | 0.317507i | ||||
\(518\) | −5.61788 | − | 7.03322i | −0.246835 | − | 0.309022i | ||||
\(519\) | 12.4254 | + | 10.6045i | 0.545416 | + | 0.465487i | ||||
\(520\) | 7.02786 | + | 1.77184i | 0.308192 | + | 0.0777002i | ||||
\(521\) | 9.69526 | + | 5.59756i | 0.424757 | + | 0.245234i | 0.697111 | − | 0.716964i | \(-0.254469\pi\) |
−0.272353 | + | 0.962197i | \(0.587802\pi\) | |||||||
\(522\) | 9.21732 | + | 11.9438i | 0.403431 | + | 0.522768i | ||||
\(523\) | 15.9349 | − | 9.20004i | 0.696786 | − | 0.402290i | −0.109363 | − | 0.994002i | \(-0.534881\pi\) |
0.806149 | + | 0.591712i | \(0.201548\pi\) | |||||||
\(524\) | 1.12308 | + | 1.03878i | 0.0490620 | + | 0.0453792i | ||||
\(525\) | −7.25503 | − | 2.70954i | −0.316635 | − | 0.118254i | ||||
\(526\) | −2.27841 | − | 15.0358i | −0.0993432 | − | 0.655594i | ||||
\(527\) | 10.4919 | − | 8.80378i | 0.457036 | − | 0.383499i | ||||
\(528\) | −4.05895 | − | 6.02057i | −0.176643 | − | 0.262012i | ||||
\(529\) | 21.4539 | − | 7.80859i | 0.932779 | − | 0.339504i | ||||
\(530\) | −3.58000 | − | 0.0864575i | −0.155505 | − | 0.00375547i | ||||
\(531\) | 25.6733 | − | 20.8207i | 1.11413 | − | 0.903541i | ||||
\(532\) | −5.76801 | − | 0.278759i | −0.250075 | − | 0.0120857i | ||||
\(533\) | −31.8238 | − | 5.61140i | −1.37844 | − | 0.243057i | ||||
\(534\) | −11.3678 | + | 3.72379i | −0.491934 | + | 0.161144i | ||||
\(535\) | 2.31616 | − | 6.36359i | 0.100136 | − | 0.275122i | ||||
\(536\) | −25.9441 | + | 2.65805i | −1.12062 | + | 0.114810i | ||||
\(537\) | 11.4653 | + | 6.74799i | 0.494765 | + | 0.291197i | ||||
\(538\) | 4.55515 | + | 13.5224i | 0.196386 | + | 0.582992i | ||||
\(539\) | 1.04804 | 0.0451421 | ||||||||
\(540\) | −7.27122 | + | 2.05694i | −0.312903 | + | 0.0885164i | ||||
\(541\) | 37.3381 | 1.60529 | 0.802646 | − | 0.596456i | \(-0.203425\pi\) | ||||
0.802646 | + | 0.596456i | \(0.203425\pi\) | |||||||
\(542\) | 4.67872 | + | 13.8892i | 0.200968 | + | 0.596594i | ||||
\(543\) | −0.260951 | + | 31.2001i | −0.0111985 | + | 1.33892i | ||||
\(544\) | 11.9208 | + | 18.2984i | 0.511099 | + | 0.784538i | ||||
\(545\) | −0.677292 | + | 1.86084i | −0.0290120 | + | 0.0797098i | ||||
\(546\) | 1.77449 | − | 8.44787i | 0.0759413 | − | 0.361536i | ||||
\(547\) | −19.4504 | − | 3.42964i | −0.831640 | − | 0.146641i | −0.258410 | − | 0.966035i | \(-0.583199\pi\) |
−0.573230 | + | 0.819395i | \(0.694310\pi\) | |||||||
\(548\) | 1.91776 | − | 39.6817i | 0.0819226 | − | 1.69512i | ||||
\(549\) | 10.6549 | + | 9.24856i | 0.454738 | + | 0.394719i | ||||
\(550\) | 6.62517 | + | 0.159999i | 0.282498 | + | 0.00682237i | ||||
\(551\) | −9.64833 | + | 3.51171i | −0.411033 | + | 0.149604i | ||||
\(552\) | −2.00642 | + | 0.188621i | −0.0853990 | + | 0.00802823i | ||||
\(553\) | 8.41457 | − | 7.06066i | 0.357824 | − | 0.300250i | ||||
\(554\) | −1.97627 | − | 13.0420i | −0.0839638 | − | 0.554101i | ||||
\(555\) | 6.18370 | − | 5.10122i | 0.262483 | − | 0.216535i | ||||
\(556\) | −24.7055 | + | 26.7104i | −1.04774 | + | 1.13277i | ||||
\(557\) | −40.1083 | + | 23.1565i | −1.69944 | + | 0.981173i | −0.753155 | + | 0.657843i | \(0.771469\pi\) |
−0.946286 | + | 0.323330i | \(0.895198\pi\) | |||||||
\(558\) | −0.615027 | + | 15.0390i | −0.0260362 | + | 0.636653i | ||||
\(559\) | 21.0385 | + | 12.1466i | 0.889833 | + | 0.513745i | ||||
\(560\) | 2.03739 | + | 2.07570i | 0.0860954 | + | 0.0877145i | ||||
\(561\) | −1.27460 | + | 6.89109i | −0.0538137 | + | 0.290942i | ||||
\(562\) | −17.8170 | − | 22.3057i | −0.751565 | − | 0.940911i | ||||
\(563\) | −3.11722 | − | 17.6787i | −0.131375 | − | 0.745067i | −0.977315 | − | 0.211789i | \(-0.932071\pi\) |
0.845940 | − | 0.533278i | \(-0.179040\pi\) | |||||||
\(564\) | −20.2645 | − | 13.2840i | −0.853288 | − | 0.559356i | ||||
\(565\) | −7.88454 | − | 6.61592i | −0.331705 | − | 0.278334i | ||||
\(566\) | −5.29015 | − | 3.22702i | −0.222362 | − | 0.135642i | ||||
\(567\) | 2.79358 | + | 8.55546i | 0.117319 | + | 0.359296i | ||||
\(568\) | 1.47324 | + | 0.106903i | 0.0618158 | + | 0.00448556i | ||||
\(569\) | −15.0032 | + | 17.8801i | −0.628966 | + | 0.749573i | −0.982584 | − | 0.185817i | \(-0.940507\pi\) |
0.353618 | + | 0.935390i | \(0.384951\pi\) | |||||||
\(570\) | 0.167155 | − | 5.13998i | 0.00700134 | − | 0.215290i | ||||
\(571\) | 28.4959 | − | 5.02459i | 1.19251 | − | 0.210272i | 0.458054 | − | 0.888924i | \(-0.348547\pi\) |
0.734460 | + | 0.678652i | \(0.237435\pi\) | |||||||
\(572\) | 0.930044 | + | 7.32797i | 0.0388871 | + | 0.306398i | ||||
\(573\) | 12.2460 | + | 2.26507i | 0.511585 | + | 0.0946246i | ||||
\(574\) | −9.72982 | − | 8.57299i | −0.406115 | − | 0.357830i | ||||
\(575\) | 0.919664 | − | 1.59291i | 0.0383527 | − | 0.0664287i | ||||
\(576\) | −23.6873 | − | 3.86154i | −0.986971 | − | 0.160897i | ||||
\(577\) | −4.18273 | − | 7.24470i | −0.174129 | − | 0.301601i | 0.765730 | − | 0.643162i | \(-0.222378\pi\) |
−0.939860 | + | 0.341561i | \(0.889044\pi\) | |||||||
\(578\) | −0.584977 | + | 2.90550i | −0.0243319 | + | 0.120853i | ||||
\(579\) | 1.84707 | + | 2.23902i | 0.0767615 | + | 0.0930503i | ||||
\(580\) | 4.76846 | + | 2.00123i | 0.197999 | + | 0.0830966i | ||||
\(581\) | −4.18859 | − | 4.99177i | −0.173772 | − | 0.207093i | ||||
\(582\) | −0.890707 | + | 2.21989i | −0.0369210 | + | 0.0920172i | ||||
\(583\) | −1.24828 | − | 3.42961i | −0.0516983 | − | 0.142040i | ||||
\(584\) | 17.9734 | + | 37.0975i | 0.743743 | + | 1.53511i | ||||
\(585\) | 7.54725 | + | 1.46135i | 0.312040 | + | 0.0604194i | ||||
\(586\) | 20.6835 | − | 11.2848i | 0.854429 | − | 0.466171i | ||||
\(587\) | 0.915496 | − | 5.19203i | 0.0377866 | − | 0.214298i | −0.960068 | − | 0.279766i | \(-0.909743\pi\) |
0.997855 | + | 0.0654682i | \(0.0208541\pi\) | |||||||
\(588\) | 2.37337 | − | 2.52331i | 0.0978761 | − | 0.104060i | ||||
\(589\) | −9.62576 | − | 3.50349i | −0.396622 | − | 0.144359i | ||||
\(590\) | 4.13110 | − | 10.5503i | 0.170075 | − | 0.434349i | ||||
\(591\) | −15.6253 | − | 0.130687i | −0.642739 | − | 0.00537574i | ||||
\(592\) | 24.6528 | − | 6.36017i | 1.01323 | − | 0.261402i | ||||
\(593\) | 17.3260i | 0.711495i | 0.934582 | + | 0.355748i | \(0.115774\pi\) | ||||
−0.934582 | + | 0.355748i | \(0.884226\pi\) | |||||||
\(594\) | −4.65405 | − | 6.13616i | −0.190958 | − | 0.251770i | ||||
\(595\) | − | 2.80716i | − | 0.115082i | ||||||
\(596\) | 8.62123 | + | 1.95345i | 0.353139 | + | 0.0800166i | ||||
\(597\) | −8.28696 | + | 14.0801i | −0.339163 | + | 0.576262i | ||||
\(598\) | 1.90904 | + | 0.747507i | 0.0780664 | + | 0.0305678i | ||||
\(599\) | −23.7027 | − | 8.62708i | −0.968466 | − | 0.352493i | −0.191121 | − | 0.981567i | \(-0.561212\pi\) |
−0.777346 | + | 0.629074i | \(0.783434\pi\) | |||||||
\(600\) | 15.3885 | − | 15.5888i | 0.628233 | − | 0.636410i | ||||
\(601\) | 5.54005 | − | 31.4192i | 0.225983 | − | 1.28161i | −0.634814 | − | 0.772665i | \(-0.718923\pi\) |
0.860797 | − | 0.508949i | \(-0.169966\pi\) | |||||||
\(602\) | 4.66915 | + | 8.55793i | 0.190300 | + | 0.348795i | ||||
\(603\) | −27.3182 | + | 4.34712i | −1.11248 | + | 0.177028i | ||||
\(604\) | −26.0751 | − | 16.7829i | −1.06098 | − | 0.682888i | ||||
\(605\) | 2.46247 | + | 6.76557i | 0.100113 | + | 0.275059i | ||||
\(606\) | −28.0199 | + | 21.9999i | −1.13823 | + | 0.893686i | ||||
\(607\) | 19.2872 | + | 22.9856i | 0.782845 | + | 0.932958i | 0.999058 | − | 0.0433882i | \(-0.0138152\pi\) |
−0.216214 | + | 0.976346i | \(0.569371\pi\) | |||||||
\(608\) | 7.39418 | − | 14.5639i | 0.299874 | − | 0.590645i | ||||
\(609\) | 2.15490 | − | 5.76993i | 0.0873210 | − | 0.233809i | ||||
\(610\) | 4.74102 | + | 0.954530i | 0.191958 | + | 0.0386478i | ||||
\(611\) | 12.3250 | + | 21.3476i | 0.498617 | + | 0.863630i | ||||
\(612\) | 13.7049 | + | 18.6743i | 0.553989 | + | 0.754863i | ||||
\(613\) | −24.3198 | + | 42.1231i | −0.982268 | + | 1.70134i | −0.328769 | + | 0.944411i | \(0.606634\pi\) |
−0.653499 | + | 0.756927i | \(0.726700\pi\) | |||||||
\(614\) | 3.43873 | − | 3.90275i | 0.138776 | − | 0.157502i | ||||
\(615\) | 7.49698 | − | 8.78429i | 0.302307 | − | 0.354217i | ||||
\(616\) | −1.21279 | + | 2.70485i | −0.0488646 | + | 0.108981i | ||||
\(617\) | 41.9342 | − | 7.39413i | 1.68821 | − | 0.297676i | 0.754656 | − | 0.656121i | \(-0.227804\pi\) |
0.933551 | + | 0.358444i | \(0.116693\pi\) | |||||||
\(618\) | −6.69250 | − | 12.5143i | −0.269212 | − | 0.503399i | ||||
\(619\) | −24.0829 | + | 28.7008i | −0.967972 | + | 1.15358i | 0.0201323 | + | 0.999797i | \(0.493591\pi\) |
−0.988104 | + | 0.153787i | \(0.950853\pi\) | |||||||
\(620\) | 2.36095 | + | 4.58738i | 0.0948179 | + | 0.184233i | ||||
\(621\) | −2.11369 | + | 0.318247i | −0.0848195 | + | 0.0127708i | ||||
\(622\) | 23.9336 | − | 39.2351i | 0.959650 | − | 1.57318i | ||||
\(623\) | 3.74101 | + | 3.13908i | 0.149881 | + | 0.125765i | ||||
\(624\) | 19.7494 | + | 14.3556i | 0.790610 | + | 0.574684i | ||||
\(625\) | 3.01258 | + | 17.0852i | 0.120503 | + | 0.683408i | ||||
\(626\) | 11.3664 | − | 9.07905i | 0.454292 | − | 0.362872i | ||||
\(627\) | 4.94004 | − | 1.75138i | 0.197286 | − | 0.0699434i | ||||
\(628\) | −7.72889 | + | 2.39739i | −0.308416 | + | 0.0956662i | ||||
\(629\) | −21.2807 | − | 12.2864i | −0.848516 | − | 0.489891i | ||||
\(630\) | 2.28021 | + | 2.07788i | 0.0908458 | + | 0.0827846i | ||||
\(631\) | 38.4685 | − | 22.2098i | 1.53141 | − | 0.884159i | 0.532111 | − | 0.846675i | \(-0.321399\pi\) |
0.999297 | − | 0.0374842i | \(-0.0119344\pi\) | |||||||
\(632\) | 8.48532 | + | 29.8875i | 0.337528 | + | 1.18886i | ||||
\(633\) | −2.35850 | − | 14.0625i | −0.0937421 | − | 0.558934i | ||||
\(634\) | −10.8268 | + | 1.64060i | −0.429987 | + | 0.0651566i | ||||
\(635\) | 11.1260 | − | 9.33580i | 0.441521 | − | 0.370480i | ||||
\(636\) | −11.0842 | − | 4.76123i | −0.439515 | − | 0.188795i | ||||
\(637\) | −3.31156 | + | 1.20531i | −0.131209 | + | 0.0477562i | ||||
\(638\) | −0.127247 | + | 5.26900i | −0.00503776 | + | 0.208602i | ||||
\(639\) | 1.56650 | + | 0.0262056i | 0.0619697 | + | 0.00103668i | ||||
\(640\) | −7.71479 | + | 2.85623i | −0.304954 | + | 0.112902i | ||||
\(641\) | 15.2874 | + | 2.69558i | 0.603817 | + | 0.106469i | 0.467195 | − | 0.884154i | \(-0.345265\pi\) |
0.136621 | + | 0.990623i | \(0.456376\pi\) | |||||||
\(642\) | 15.2241 | − | 16.9898i | 0.600847 | − | 0.670534i | ||||
\(643\) | −4.50357 | + | 12.3734i | −0.177603 | + | 0.487961i | −0.996268 | − | 0.0863104i | \(-0.972492\pi\) |
0.818665 | + | 0.574271i | \(0.194715\pi\) | |||||||
\(644\) | 0.497801 | + | 0.655041i | 0.0196161 | + | 0.0258122i | ||||
\(645\) | −7.55469 | + | 4.27786i | −0.297466 | + | 0.168441i | ||||
\(646\) | −14.9394 | + | 5.03247i | −0.587783 | + | 0.198000i | ||||
\(647\) | 15.5017 | 0.609436 | 0.304718 | − | 0.952443i | \(-0.401438\pi\) | ||||
0.304718 | + | 0.952443i | \(0.401438\pi\) | |||||||
\(648\) | −25.3133 | − | 2.69050i | −0.994399 | − | 0.105693i | ||||
\(649\) | 11.5475 | 0.453281 | ||||||||
\(650\) | −21.1181 | + | 7.11382i | −0.828319 | + | 0.279027i | ||||
\(651\) | 5.34705 | − | 3.02778i | 0.209567 | − | 0.118668i | ||||
\(652\) | 4.38967 | + | 5.77624i | 0.171913 | + | 0.226215i | ||||
\(653\) | −3.78633 | + | 10.4029i | −0.148171 | + | 0.407096i | −0.991468 | − | 0.130352i | \(-0.958389\pi\) |
0.843297 | + | 0.537448i | \(0.180611\pi\) | |||||||
\(654\) | −4.45184 | + | 4.96817i | −0.174081 | + | 0.194271i | ||||
\(655\) | 0.547742 | + | 0.0965817i | 0.0214020 | + | 0.00377376i | ||||
\(656\) | 33.3851 | − | 15.1907i | 1.30347 | − | 0.593099i | ||||
\(657\) | 21.2250 | + | 38.2253i | 0.828064 | + | 1.49131i | ||||
\(658\) | −0.238824 | + | 9.88914i | −0.00931033 | + | 0.385519i | ||||
\(659\) | −30.9269 | + | 11.2565i | −1.20474 | + | 0.438489i | −0.864876 | − | 0.501985i | \(-0.832603\pi\) |
−0.339864 | + | 0.940475i | \(0.610381\pi\) | |||||||
\(660\) | −2.42554 | − | 1.04190i | −0.0944141 | − | 0.0405558i | ||||
\(661\) | 14.3658 | − | 12.0544i | 0.558765 | − | 0.468860i | −0.319131 | − | 0.947711i | \(-0.603391\pi\) |
0.877896 | + | 0.478851i | \(0.158947\pi\) | |||||||
\(662\) | −39.9080 | + | 6.04731i | −1.55107 | + | 0.235036i | ||||
\(663\) | −3.89775 | − | 23.2402i | −0.151376 | − | 0.902574i | ||||
\(664\) | 17.7301 | − | 5.03374i | 0.688063 | − | 0.195347i | ||||
\(665\) | −1.81822 | + | 1.04975i | −0.0705074 | + | 0.0407075i | ||||
\(666\) | 25.7321 | − | 8.19146i | 0.997098 | − | 0.317413i | ||||
\(667\) | 1.26684 | + | 0.731410i | 0.0490522 | + | 0.0283203i | ||||
\(668\) | −39.8574 | + | 12.3632i | −1.54213 | + | 0.478346i | ||||
\(669\) | −26.6480 | + | 9.44745i | −1.03027 | + | 0.365259i | ||||
\(670\) | −7.40847 | + | 5.91762i | −0.286214 | + | 0.228617i | ||||
\(671\) | 0.855893 | + | 4.85401i | 0.0330414 | + | 0.187387i | ||||
\(672\) | 3.76588 | + | 9.04534i | 0.145272 | + | 0.348931i | ||||
\(673\) | 37.9826 | + | 31.8712i | 1.46412 | + | 1.22854i | 0.921391 | + | 0.388637i | \(0.127054\pi\) |
0.542731 | + | 0.839907i | \(0.317390\pi\) | |||||||
\(674\) | 23.7122 | − | 38.8721i | 0.913360 | − | 1.49730i | ||||
\(675\) | 15.3760 | − | 17.4176i | 0.591822 | − | 0.670403i | ||||
\(676\) | 0.531533 | + | 1.03278i | 0.0204436 | + | 0.0397223i | ||||
\(677\) | 25.5830 | − | 30.4886i | 0.983233 | − | 1.17177i | −0.00190332 | − | 0.999998i | \(-0.500606\pi\) |
0.985136 | − | 0.171773i | \(-0.0549497\pi\) | |||||||
\(678\) | −16.3511 | − | 30.5749i | −0.627961 | − | 1.17422i | ||||
\(679\) | 0.961659 | − | 0.169567i | 0.0369051 | − | 0.00650737i | ||||
\(680\) | 7.24492 | + | 3.24845i | 0.277830 | + | 0.124572i | ||||
\(681\) | 32.0906 | − | 37.6010i | 1.22972 | − | 1.44087i | ||||
\(682\) | −3.47617 | + | 3.94524i | −0.133110 | + | 0.151071i | ||||
\(683\) | 5.60226 | − | 9.70339i | 0.214364 | − | 0.371290i | −0.738711 | − | 0.674022i | \(-0.764565\pi\) |
0.953076 | + | 0.302732i | \(0.0978987\pi\) | |||||||
\(684\) | 6.97043 | − | 15.8601i | 0.266521 | − | 0.606426i | ||||
\(685\) | −7.22187 | − | 12.5086i | −0.275933 | − | 0.477931i | ||||
\(686\) | −1.38639 | − | 0.279129i | −0.0529328 | − | 0.0106572i | ||||
\(687\) | 2.18443 | − | 5.84900i | 0.0833412 | − | 0.223153i | ||||
\(688\) | −27.4900 | + | 2.14723i | −1.04805 | + | 0.0818624i | ||||
\(689\) | 7.88855 | + | 9.40121i | 0.300530 | + | 0.358157i | ||||
\(690\) | −0.576278 | + | 0.452467i | −0.0219385 | + | 0.0172251i | ||||
\(691\) | 0.332252 | + | 0.912854i | 0.0126394 | + | 0.0347266i | 0.945852 | − | 0.324598i | \(-0.105229\pi\) |
−0.933212 | + | 0.359325i | \(0.883007\pi\) | |||||||
\(692\) | 15.8612 | + | 10.2088i | 0.602951 | + | 0.388082i | ||||
\(693\) | −1.12462 | + | 2.93610i | −0.0427207 | + | 0.111533i | ||||
\(694\) | −16.8102 | − | 30.8109i | −0.638106 | − | 1.16956i | ||||
\(695\) | −2.29702 | + | 13.0271i | −0.0871310 | + | 0.494144i | ||||
\(696\) | 12.3978 | + | 12.2385i | 0.469937 | + | 0.463898i | ||||
\(697\) | −33.2655 | − | 12.1077i | −1.26002 | − | 0.458611i | ||||
\(698\) | −19.8486 | − | 7.77198i | −0.751282 | − | 0.294174i | ||||
\(699\) | −13.2390 | + | 22.4940i | −0.500744 | + | 0.850801i | ||||
\(700\) | −8.72148 | − | 1.97617i | −0.329641 | − | 0.0746921i | ||||
\(701\) | 40.7453i | 1.53893i | 0.638690 | + | 0.769464i | \(0.279477\pi\) | ||||
−0.638690 | + | 0.769464i | \(0.720523\pi\) | |||||||
\(702\) | 21.7627 | + | 14.0364i | 0.821382 | + | 0.529771i | ||||
\(703\) | 18.3782i | 0.693146i | ||||||||
\(704\) | −5.57742 | − | 6.26009i | −0.210207 | − | 0.235936i | ||||
\(705\) | −8.80902 | − | 0.0736770i | −0.331767 | − | 0.00277484i | ||||
\(706\) | 11.2337 | − | 28.6894i | 0.422785 | − | 1.07974i | ||||
\(707\) | 13.6666 | + | 4.97423i | 0.513985 | + | 0.187075i | ||||
\(708\) | 26.1504 | − | 27.8025i | 0.982793 | − | 1.04488i | ||||
\(709\) | 2.05263 | − | 11.6410i | 0.0770882 | − | 0.437189i | −0.921697 | − | 0.387911i | \(-0.873197\pi\) |
0.998785 | − | 0.0492779i | \(-0.0156920\pi\) | |||||||
\(710\) | 0.471426 | − | 0.257207i | 0.0176923 | − | 0.00965280i | ||||
\(711\) | 10.7512 | + | 31.1502i | 0.403200 | + | 1.16822i | ||||
\(712\) | −12.4307 | + | 6.02253i | −0.465859 | + | 0.225704i | ||||
\(713\) | 0.499143 | + | 1.37138i | 0.0186931 | + | 0.0513588i | ||||
\(714\) | 3.52144 | − | 8.77639i | 0.131787 | − | 0.328448i | ||||
\(715\) | 1.72625 | + | 2.05726i | 0.0645581 | + | 0.0769373i | ||||
\(716\) | 14.1649 | + | 5.94475i | 0.529368 | + | 0.222166i | ||||
\(717\) | −6.01018 | − | 7.28555i | −0.224454 | − | 0.272084i | ||||
\(718\) | −3.00158 | + | 14.9084i | −0.112018 | + | 0.556378i | ||||
\(719\) | 23.3211 | + | 40.3934i | 0.869732 | + | 1.50642i | 0.862271 | + | 0.506448i | \(0.169042\pi\) |
0.00746140 | + | 0.999972i | \(0.497625\pi\) | |||||||
\(720\) | −8.00139 | + | 3.48041i | −0.298194 | + | 0.129707i | ||||
\(721\) | −2.89682 | + | 5.01743i | −0.107883 | + | 0.186859i | ||||
\(722\) | −11.3145 | − | 9.96922i | −0.421081 | − | 0.371016i | ||||
\(723\) | −33.6855 | − | 6.23059i | −1.25278 | − | 0.231718i | ||||
\(724\) | 4.53618 | + | 35.7413i | 0.168586 | + | 1.32831i | ||||
\(725\) | −15.6584 | + | 2.76100i | −0.581538 | + | 0.102541i | ||||
\(726\) | −0.788333 | + | 24.2411i | −0.0292578 | + | 0.899672i | ||||
\(727\) | 0.127067 | − | 0.151432i | 0.00471265 | − | 0.00561632i | −0.763683 | − | 0.645591i | \(-0.776611\pi\) |
0.768396 | + | 0.639975i | \(0.221055\pi\) | |||||||
\(728\) | 0.721388 | − | 9.94150i | 0.0267364 | − | 0.368457i | ||||
\(729\) | −26.9660 | − | 1.35434i | −0.998741 | − | 0.0501606i | ||||
\(730\) | 12.7944 | + | 7.80464i | 0.473541 | + | 0.288863i | ||||
\(731\) | 20.3866 | + | 17.1064i | 0.754027 | + | 0.632704i | ||||
\(732\) | 13.6250 | + | 8.93163i | 0.503596 | + | 0.330123i | ||||
\(733\) | 5.85626 | + | 33.2125i | 0.216306 | + | 1.22673i | 0.878626 | + | 0.477511i | \(0.158461\pi\) |
−0.662320 | + | 0.749221i | \(0.730428\pi\) | |||||||
\(734\) | −4.08306 | − | 5.11173i | −0.150709 | − | 0.188677i | ||||
\(735\) | 0.229063 | − | 1.23842i | 0.00844911 | − | 0.0456798i | ||||
\(736\) | −2.26663 | + | 0.526746i | −0.0835491 | + | 0.0194161i | ||||
\(737\) | −8.36890 | − | 4.83179i | −0.308273 | − | 0.177981i | ||||
\(738\) | 34.4582 | − | 18.0589i | 1.26842 | − | 0.664756i | ||||
\(739\) | −28.8703 | + | 16.6683i | −1.06201 | + | 0.613153i | −0.925988 | − | 0.377552i | \(-0.876766\pi\) |
−0.136024 | + | 0.990705i | \(0.543433\pi\) | |||||||
\(740\) | 6.28524 | − | 6.79532i | 0.231050 | − | 0.249801i | ||||
\(741\) | −13.5952 | + | 11.2153i | −0.499434 | + | 0.412006i | ||||
\(742\) | 0.737854 | + | 4.86931i | 0.0270875 | + | 0.178758i | ||||
\(743\) | −34.1138 | + | 28.6248i | −1.25151 | + | 1.05014i | −0.254979 | + | 0.966946i | \(0.582069\pi\) |
−0.996533 | + | 0.0831972i | \(0.973487\pi\) | |||||||
\(744\) | 1.62670 | + | 17.3038i | 0.0596378 | + | 0.634388i | ||||
\(745\) | 3.02002 | − | 1.09920i | 0.110645 | − | 0.0402714i | ||||
\(746\) | −11.5010 | − | 0.277752i | −0.421083 | − | 0.0101692i | ||||
\(747\) | 18.4792 | − | 6.37791i | 0.676119 | − | 0.233356i | ||||
\(748\) | −0.390624 | + | 8.08268i | −0.0142826 | + | 0.295532i | ||||
\(749\) | −9.17182 | − | 1.61724i | −0.335131 | − | 0.0590926i | ||||
\(750\) | 3.46775 | − | 16.5090i | 0.126624 | − | 0.602824i | ||||
\(751\) | 9.59873 | − | 26.3723i | 0.350263 | − | 0.962338i | −0.632023 | − | 0.774949i | \(-0.717775\pi\) |
0.982286 | − | 0.187389i | \(-0.0600025\pi\) | |||||||
\(752\) | −25.2462 | − | 12.0601i | −0.920635 | − | 0.439786i | ||||
\(753\) | −0.169103 | + | 20.2185i | −0.00616247 | + | 0.736802i | ||||
\(754\) | −5.65763 | − | 16.7952i | −0.206039 | − | 0.611646i | ||||
\(755\) | −11.2739 | −0.410300 | ||||||||
\(756\) | 4.52233 | + | 9.35674i | 0.164475 | + | 0.340301i | ||||
\(757\) | −33.4210 | −1.21471 | −0.607353 | − | 0.794432i | \(-0.707769\pi\) | ||||
−0.607353 | + | 0.794432i | \(0.707769\pi\) | |||||||
\(758\) | 1.50876 | + | 4.47890i | 0.0548006 | + | 0.162681i | ||||
\(759\) | −0.643543 | − | 0.378761i | −0.0233591 | − | 0.0137482i | ||||
\(760\) | −0.605225 | − | 5.90735i | −0.0219538 | − | 0.214282i | ||||
\(761\) | −6.11039 | + | 16.7882i | −0.221501 | + | 0.608570i | −0.999814 | − | 0.0193074i | \(-0.993854\pi\) |
0.778312 | + | 0.627877i | \(0.216076\pi\) | |||||||
\(762\) | 46.4958 | − | 15.2307i | 1.68437 | − | 0.551752i | ||||
\(763\) | 2.68203 | + | 0.472914i | 0.0970959 | + | 0.0171206i | ||||
\(764\) | 14.3636 | + | 0.694170i | 0.519656 | + | 0.0251142i | ||||
\(765\) | 7.86433 | + | 3.01228i | 0.284335 | + | 0.108909i | ||||
\(766\) | −18.9777 | − | 0.458315i | −0.685693 | − | 0.0165596i | ||||
\(767\) | −36.4877 | + | 13.2804i | −1.31749 | + | 0.479529i | ||||
\(768\) | −27.7027 | − | 0.747997i | −0.999636 | − | 0.0269910i | ||||
\(769\) | −27.2169 | + | 22.8377i | −0.981465 | + | 0.823547i | −0.984310 | − | 0.176449i | \(-0.943539\pi\) |
0.00284456 | + | 0.999996i | \(0.499095\pi\) | |||||||
\(770\) | 0.161465 | + | 1.06555i | 0.00581878 | + | 0.0383998i | ||||
\(771\) | 1.63570 | + | 0.610886i | 0.0589083 | + | 0.0220005i | ||||
\(772\) | 2.46048 | + | 2.27578i | 0.0885544 | + | 0.0819072i | ||||
\(773\) | −14.8479 | + | 8.57243i | −0.534041 | + | 0.308329i | −0.742661 | − | 0.669668i | \(-0.766436\pi\) |
0.208619 | + | 0.977997i | \(0.433103\pi\) | |||||||
\(774\) | −28.9855 | + | 3.89745i | −1.04186 | + | 0.140091i | ||||
\(775\) | −13.7375 | − | 7.93137i | −0.493467 | − | 0.284903i | ||||
\(776\) | −0.675202 | + | 2.67814i | −0.0242383 | + | 0.0961396i | ||||
\(777\) | −8.38571 | − | 7.15681i | −0.300836 | − | 0.256749i | ||||
\(778\) | −3.88630 | − | 4.86539i | −0.139331 | − | 0.174433i | ||||
\(779\) | 4.59755 | + | 26.0740i | 0.164724 | + | 0.934198i | ||||
\(780\) | 8.86243 | + | 0.502635i | 0.317326 | + | 0.0179972i | ||||
\(781\) | 0.419275 | + | 0.351814i | 0.0150029 | + | 0.0125889i | ||||
\(782\) | 1.91736 | + | 1.16960i | 0.0685647 | + | 0.0418248i | ||||
\(783\) | 13.8522 | + | 12.2285i | 0.495038 | + | 0.437013i | ||||
\(784\) | 2.32473 | − | 3.25509i | 0.0830260 | − | 0.116253i | ||||
\(785\) | −1.89110 | + | 2.25373i | −0.0674963 | + | 0.0804389i | ||||
\(786\) | 1.59132 | + | 0.989070i | 0.0567605 | + | 0.0352789i | ||||
\(787\) | −27.8482 | + | 4.91039i | −0.992681 | + | 0.175036i | −0.646321 | − | 0.763066i | \(-0.723693\pi\) |
−0.346359 | + | 0.938102i | \(0.612582\pi\) | |||||||
\(788\) | −17.8996 | + | 2.27176i | −0.637646 | + | 0.0809282i | ||||
\(789\) | −6.22363 | − | 17.5547i | −0.221567 | − | 0.624965i | ||||
\(790\) | 8.47503 | + | 7.46739i | 0.301528 | + | 0.265678i | ||||
\(791\) | −7.07751 | + | 12.2586i | −0.251647 | + | 0.435866i | ||||
\(792\) | −6.27628 | − | 6.30014i | −0.223018 | − | 0.223866i | ||||
\(793\) | −8.28686 | − | 14.3533i | −0.294275 | − | 0.509699i | ||||
\(794\) | −4.26586 | + | 21.1879i | −0.151390 | + | 0.751931i | ||||
\(795\) | −4.32545 | + | 0.725447i | −0.153408 | + | 0.0257289i | ||||
\(796\) | −7.30053 | + | 17.3954i | −0.258761 | + | 0.616565i | ||||
\(797\) | 24.9168 | + | 29.6947i | 0.882600 | + | 1.05184i | 0.998284 | + | 0.0585554i | \(0.0186494\pi\) |
−0.115684 | + | 0.993286i | \(0.536906\pi\) | |||||||
\(798\) | −7.00138 | + | 1.00110i | −0.247846 | + | 0.0354387i | ||||
\(799\) | 9.23586 | + | 25.3753i | 0.326741 | + | 0.897714i | ||||
\(800\) | 15.1927 | − | 20.2222i | 0.537144 | − | 0.714962i | ||||
\(801\) | −12.8086 | + | 7.11207i | −0.452569 | + | 0.251293i | ||||
\(802\) | 20.7342 | − | 11.3124i | 0.732149 | − | 0.399455i | ||||
\(803\) | −2.65236 | + | 15.0423i | −0.0935998 | + | 0.530831i | ||||
\(804\) | −30.5854 | + | 9.20745i | −1.07866 | + | 0.324722i | ||||
\(805\) | 0.281077 | + | 0.102304i | 0.00990667 | + | 0.00360573i | ||||
\(806\) | 6.44665 | − | 16.4639i | 0.227074 | − | 0.579917i | ||||
\(807\) | 8.61107 | + | 15.2071i | 0.303124 | + | 0.535316i | ||||
\(808\) | −28.6528 | + | 29.5155i | −1.00800 | + | 1.03835i | ||||
\(809\) | − | 13.7746i | − | 0.484288i | −0.970240 | − | 0.242144i | \(-0.922149\pi\) | ||
0.970240 | − | 0.242144i | \(-0.0778507\pi\) | |||||||
\(810\) | −8.26804 | + | 4.15835i | −0.290509 | + | 0.146110i | ||||
\(811\) | 43.3372i | 1.52178i | 0.648883 | + | 0.760888i | \(0.275237\pi\) | ||||
−0.648883 | + | 0.760888i | \(0.724763\pi\) | |||||||
\(812\) | 1.57165 | − | 6.93620i | 0.0551540 | − | 0.243413i | ||||
\(813\) | 8.84467 | + | 15.6197i | 0.310196 | + | 0.547805i | ||||
\(814\) | 8.78447 | + | 3.43967i | 0.307896 | + | 0.120560i | ||||
\(815\) | 2.47857 | + | 0.902127i | 0.0868207 | + | 0.0316001i | ||||
\(816\) | 18.5757 | + | 19.2444i | 0.650280 | + | 0.673689i | ||||
\(817\) | 3.45628 | − | 19.6016i | 0.120920 | − | 0.685772i | ||||
\(818\) | −23.1144 | − | 42.3657i | −0.808176 | − | 1.48128i | ||||
\(819\) | 0.176837 | − | 10.5708i | 0.00617917 | − | 0.369374i | ||||
\(820\) | 7.21724 | − | 11.2132i | 0.252037 | − | 0.391582i | ||||
\(821\) | 18.8351 | + | 51.7491i | 0.657350 | + | 1.80605i | 0.588606 | + | 0.808420i | \(0.299677\pi\) |
0.0687442 | + | 0.997634i | \(0.478101\pi\) | |||||||
\(822\) | −6.88721 | − | 48.1668i | −0.240219 | − | 1.68001i | ||||
\(823\) | 32.4011 | + | 38.6141i | 1.12943 | + | 1.34600i | 0.930629 | + | 0.365964i | \(0.119261\pi\) |
0.198803 | + | 0.980040i | \(0.436295\pi\) | |||||||
\(824\) | −9.59715 | − | 13.2825i | −0.334333 | − | 0.462717i | ||||
\(825\) | 8.00471 | − | 1.34252i | 0.278688 | − | 0.0467404i | ||||
\(826\) | −15.2756 | − | 3.07551i | −0.531508 | − | 0.107011i | ||||
\(827\) | 23.4301 | + | 40.5822i | 0.814746 | + | 1.41118i | 0.909510 | + | 0.415681i | \(0.136457\pi\) |
−0.0947646 | + | 0.995500i | \(0.530210\pi\) | |||||||
\(828\) | −2.36929 | + | 0.691694i | −0.0823384 | + | 0.0240380i | ||||
\(829\) | −11.3047 | + | 19.5803i | −0.392629 | + | 0.680053i | −0.992795 | − | 0.119822i | \(-0.961768\pi\) |
0.600167 | + | 0.799875i | \(0.295101\pi\) | |||||||
\(830\) | 4.42988 | − | 5.02764i | 0.153763 | − | 0.174512i | ||||
\(831\) | −5.39833 | − | 15.2268i | −0.187266 | − | 0.528213i | ||||
\(832\) | 24.8229 | + | 13.3661i | 0.860580 | + | 0.463386i | ||||
\(833\) | −3.80195 | + | 0.670387i | −0.131730 | + | 0.0232275i | ||||
\(834\) | −23.5232 | + | 37.8466i | −0.814543 | + | 1.31052i | ||||
\(835\) | −9.75228 | + | 11.6223i | −0.337492 | + | 0.402207i | ||||
\(836\) | 5.38128 | − | 2.76954i | 0.186115 | − | 0.0957864i | ||||
\(837\) | 2.74463 | + | 18.2289i | 0.0948682 | + | 0.630083i | ||||
\(838\) | 0.286812 | − | 0.470179i | 0.00990775 | − | 0.0162421i | ||||
\(839\) | −27.5038 | − | 23.0784i | −0.949536 | − | 0.796755i | 0.0296833 | − | 0.999559i | \(-0.490550\pi\) |
−0.979219 | + | 0.202804i | \(0.934995\pi\) | |||||||
\(840\) | 2.93113 | + | 2.02428i | 0.101134 | + | 0.0698443i | ||||
\(841\) | 2.83997 | + | 16.1063i | 0.0979301 | + | 0.555389i | ||||
\(842\) | 19.1283 | − | 15.2790i | 0.659204 | − | 0.526548i | ||||
\(843\) | −26.5951 | − | 22.6977i | −0.915985 | − | 0.781750i | ||||
\(844\) | −4.87786 | − | 15.7256i | −0.167903 | − | 0.541298i | ||||
\(845\) | 0.365717 | + | 0.211147i | 0.0125810 | + | 0.00726367i | ||||
\(846\) | −27.4484 | − | 11.2808i | −0.943694 | − | 0.387842i | ||||
\(847\) | 8.57505 | − | 4.95081i | 0.294642 | − | 0.170112i | ||||
\(848\) | −13.4209 | − | 3.73046i | −0.460876 | − | 0.128104i | ||||
\(849\) | −7.10975 | − | 2.65529i | −0.244006 | − | 0.0911292i | ||||
\(850\) | −24.1364 | + | 3.65743i | −0.827872 | + | 0.125449i | ||||
\(851\) | 2.00577 | − | 1.68304i | 0.0687568 | − | 0.0576938i | ||||
\(852\) | 1.79653 | − | 0.212759i | 0.0615482 | − | 0.00728900i | ||||
\(853\) | −5.50004 | + | 2.00185i | −0.188318 | + | 0.0685420i | −0.434458 | − | 0.900692i | \(-0.643060\pi\) |
0.246140 | + | 0.969234i | \(0.420838\pi\) | |||||||
\(854\) | 0.160576 | − | 6.64907i | 0.00549480 | − | 0.227527i | ||||
\(855\) | −0.989818 | − | 6.22023i | −0.0338510 | − | 0.212727i | ||||
\(856\) | 14.7875 | − | 21.7998i | 0.505426 | − | 0.745102i | ||||
\(857\) | −24.6090 | − | 4.33923i | −0.840627 | − | 0.148225i | −0.263275 | − | 0.964721i | \(-0.584803\pi\) |
−0.577352 | + | 0.816496i | \(0.695914\pi\) | |||||||
\(858\) | 2.81626 | + | 8.59738i | 0.0961457 | + | 0.293510i | ||||
\(859\) | 3.52131 | − | 9.67473i | 0.120146 | − | 0.330097i | −0.865012 | − | 0.501752i | \(-0.832689\pi\) |
0.985157 | + | 0.171654i | \(0.0549113\pi\) | |||||||
\(860\) | −7.98160 | + | 6.06564i | −0.272170 | + | 0.206837i | ||||
\(861\) | −13.6876 | − | 8.05592i | −0.466472 | − | 0.274545i | ||||
\(862\) | 24.6155 | − | 8.29196i | 0.838408 | − | 0.282425i | ||||
\(863\) | 37.5652 | 1.27874 | 0.639368 | − | 0.768901i | \(-0.279196\pi\) | ||||
0.639368 | + | 0.768901i | \(0.279196\pi\) | |||||||
\(864\) | −29.3818 | + | 0.843925i | −0.999588 | + | 0.0287109i | ||||
\(865\) | 6.85777 | 0.233171 | ||||||||
\(866\) | 33.1145 | − | 11.1549i | 1.12528 | − | 0.379060i | ||||
\(867\) | −0.0303587 | + | 3.62978i | −0.00103104 | + | 0.123274i | ||||
\(868\) | 5.64921 | − | 4.29313i | 0.191747 | − | 0.145718i | ||||
\(869\) | −3.93737 | + | 10.8178i | −0.133566 | + | 0.366970i | ||||
\(870\) | 6.19835 | + | 1.30198i | 0.210144 | + | 0.0441411i | ||||
\(871\) | 32.0008 | + | 5.64260i | 1.08430 | + | 0.191192i | ||||
\(872\) | −4.32417 | + | 6.37471i | −0.146435 | + | 0.215875i | ||||
\(873\) | −0.556884 | + | 2.87607i | −0.0188477 | + | 0.0973401i | ||||
\(874\) | 0.0405544 | − | 1.67926i | 0.00137177 | − | 0.0568019i | ||||
\(875\) | −6.47153 | + | 2.35544i | −0.218778 | + | 0.0796285i | ||||
\(876\) | 30.2102 | + | 40.4505i | 1.02071 | + | 1.36670i | ||||
\(877\) | 1.93705 | − | 1.62538i | 0.0654096 | − | 0.0548852i | −0.609497 | − | 0.792789i | \(-0.708628\pi\) |
0.674906 | + | 0.737903i | \(0.264184\pi\) | |||||||
\(878\) | 24.0847 | − | 3.64960i | 0.812820 | − | 0.123168i | ||||
\(879\) | 22.2602 | − | 18.3635i | 0.750818 | − | 0.619384i | ||||
\(880\) | −2.93689 | − | 0.816335i | −0.0990027 | − | 0.0275186i | ||||
\(881\) | 41.3796 | − | 23.8905i | 1.39411 | − | 0.804892i | 0.400346 | − | 0.916364i | \(-0.368890\pi\) |
0.993768 | + | 0.111472i | \(0.0355566\pi\) | |||||||
\(882\) | 2.26968 | − | 3.58449i | 0.0764242 | − | 0.120696i | ||||
\(883\) | −5.86390 | − | 3.38552i | −0.197336 | − | 0.113932i | 0.398076 | − | 0.917352i | \(-0.369678\pi\) |
−0.595412 | + | 0.803420i | \(0.703011\pi\) | |||||||
\(884\) | −8.06133 | − | 25.9887i | −0.271132 | − | 0.874095i | ||||
\(885\) | 2.52387 | − | 13.6452i | 0.0848391 | − | 0.458680i | ||||
\(886\) | −21.7218 | + | 17.3506i | −0.729759 | + | 0.582905i | ||||
\(887\) | −7.51358 | − | 42.6116i | −0.252281 | − | 1.43076i | −0.802956 | − | 0.596039i | \(-0.796740\pi\) |
0.550674 | − | 0.834720i | \(-0.314371\pi\) | |||||||
\(888\) | 28.1747 | − | 13.3606i | 0.945482 | − | 0.448352i | ||||
\(889\) | −15.3012 | − | 12.8392i | −0.513186 | − | 0.430614i | ||||
\(890\) | −2.61519 | + | 4.28715i | −0.0876612 | + | 0.143706i | ||||
\(891\) | −7.01875 | − | 6.30128i | −0.235137 | − | 0.211101i | ||||
\(892\) | −29.0282 | + | 14.9397i | −0.971935 | + | 0.500217i | ||||
\(893\) | 12.9820 | − | 15.4713i | 0.434425 | − | 0.517728i | ||||
\(894\) | 10.8207 | + | 0.351896i | 0.361900 | + | 0.0117692i | ||||
\(895\) | 5.50017 | − | 0.969829i | 0.183850 | − | 0.0324178i | ||||
\(896\) | 5.71080 | + | 9.76661i | 0.190784 | + | 0.326280i | ||||
\(897\) | 2.46905 | + | 0.456685i | 0.0824393 | + | 0.0152483i | ||||
\(898\) | −22.1442 | + | 25.1323i | −0.738960 | + | 0.838675i | ||||
\(899\) | 6.30783 | − | 10.9255i | 0.210378 | − | 0.364385i | ||||
\(900\) | 14.8950 | − | 22.3128i | 0.496501 | − | 0.743761i | ||||
\(901\) | 6.72214 | + | 11.6431i | 0.223947 | + | 0.387888i | ||||
\(902\) | 13.3234 | + | 2.68247i | 0.443622 | + | 0.0893164i | ||||
\(903\) | 7.59799 | + | 9.21028i | 0.252845 | + | 0.306499i | ||||
\(904\) | −23.4478 | − | 32.4518i | −0.779861 | − | 1.07933i | ||||
\(905\) | 8.41957 | + | 10.0341i | 0.279876 | + | 0.333543i | ||||
\(906\) | −35.2471 | − | 14.1425i | −1.17101 | − | 0.469855i | ||||
\(907\) | 6.47673 | + | 17.7947i | 0.215056 | + | 0.590862i | 0.999572 | − | 0.0292465i | \(-0.00931076\pi\) |
−0.784516 | + | 0.620109i | \(0.787089\pi\) | |||||||
\(908\) | 30.8932 | − | 47.9979i | 1.02523 | − | 1.59287i | ||||
\(909\) | −28.6006 | + | 32.9495i | −0.948623 | + | 1.09287i | ||||
\(910\) | −1.73565 | − | 3.18121i | −0.0575361 | − | 0.105456i | ||||
\(911\) | 0.766384 | − | 4.34638i | 0.0253914 | − | 0.144002i | −0.969476 | − | 0.245184i | \(-0.921151\pi\) |
0.994868 | + | 0.101182i | \(0.0322626\pi\) | |||||||
\(912\) | 5.51827 | − | 19.2281i | 0.182728 | − | 0.636707i | ||||
\(913\) | 6.41746 | + | 2.33576i | 0.212387 | + | 0.0773025i | ||||
\(914\) | 53.2298 | + | 20.8428i | 1.76068 | + | 0.689418i | ||||
\(915\) | 5.92285 | + | 0.0495375i | 0.195803 | + | 0.00163766i | ||||
\(916\) | 1.59318 | − | 7.03125i | 0.0526403 | − | 0.232319i | ||||
\(917\) | − | 0.764913i | − | 0.0252597i | ||||||
\(918\) | 20.8085 | + | 19.2831i | 0.686783 | + | 0.636436i | ||||
\(919\) | 8.04411i | 0.265351i | 0.991160 | + | 0.132675i | \(0.0423568\pi\) | ||||
−0.991160 | + | 0.132675i | \(0.957643\pi\) | |||||||
\(920\) | −0.589295 | + | 0.607038i | −0.0194285 | + | 0.0200134i | ||||
\(921\) | 3.23133 | − | 5.49027i | 0.106476 | − | 0.180911i | ||||
\(922\) | 4.63404 | − | 11.8348i | 0.152614 | − | 0.389757i | ||||
\(923\) | −1.72943 | − | 0.629460i | −0.0569248 | − | 0.0207189i | ||||
\(924\) | −0.831871 | + | 3.53392i | −0.0273665 | + | 0.116257i | ||||
\(925\) | −4.94198 | + | 28.0274i | −0.162491 | + | 0.921535i | ||||
\(926\) | −22.6848 | + | 12.3766i | −0.745468 | + | 0.406722i | ||||
\(927\) | −10.9480 | − | 13.4995i | −0.359578 | − | 0.443383i | ||||
\(928\) | 16.0827 | + | 12.0828i | 0.527941 | + | 0.396637i | ||||
\(929\) | 3.92443 | + | 10.7823i | 0.128756 | + | 0.353756i | 0.987274 | − | 0.159029i | \(-0.0508363\pi\) |
−0.858517 | + | 0.512784i | \(0.828614\pi\) | |||||||
\(930\) | 3.90216 | + | 4.96993i | 0.127957 | + | 0.162971i | ||||
\(931\) | 1.85597 | + | 2.21186i | 0.0608269 | + | 0.0724907i | ||||
\(932\) | −11.6631 | + | 27.7904i | −0.382037 | + | 0.910304i | ||||
\(933\) | 19.6932 | − | 52.7303i | 0.644728 | − | 1.72631i | ||||
\(934\) | −1.76192 | + | 8.75122i | −0.0576519 | + | 0.286349i | ||||
\(935\) | 1.47101 | + | 2.54786i | 0.0481070 | + | 0.0833238i | ||||
\(936\) | 27.0772 | + | 12.6889i | 0.885047 | + | 0.414750i | ||||
\(937\) | 24.8748 | − | 43.0844i | 0.812623 | − | 1.40750i | −0.0983987 | − | 0.995147i | \(-0.531372\pi\) |
0.911022 | − | 0.412358i | \(-0.135295\pi\) | |||||||
\(938\) | 9.78392 | + | 8.62065i | 0.319456 | + | 0.281474i | ||||
\(939\) | 11.5661 | − | 13.5522i | 0.377446 | − | 0.442258i | ||||
\(940\) | −10.0912 | + | 1.28074i | −0.329138 | + | 0.0417732i | ||||
\(941\) | 42.8926 | − | 7.56313i | 1.39826 | − | 0.246551i | 0.576832 | − | 0.816863i | \(-0.304289\pi\) |
0.821428 | + | 0.570312i | \(0.193178\pi\) | |||||||
\(942\) | −8.73957 | + | 4.67382i | −0.284751 | + | 0.152281i | ||||
\(943\) | 2.42465 | − | 2.88958i | 0.0789573 | − | 0.0940977i | ||||
\(944\) | 25.6145 | − | 35.8655i | 0.833680 | − | 1.16732i | ||||
\(945\) | 3.22366 | + | 1.97064i | 0.104866 | + | 0.0641048i | ||||
\(946\) | −8.72235 | − | 5.32069i | −0.283588 | − | 0.172990i | ||||
\(947\) | −11.5429 | − | 9.68561i | −0.375093 | − | 0.314740i | 0.435680 | − | 0.900102i | \(-0.356508\pi\) |
−0.810772 | + | 0.585362i | \(0.800952\pi\) | |||||||
\(948\) | 17.1291 | + | 33.9778i | 0.556328 | + | 1.10355i | ||||
\(949\) | −8.91874 | − | 50.5807i | −0.289515 | − | 1.64192i | ||||
\(950\) | 11.3948 | + | 14.2656i | 0.369697 | + | 0.462837i | ||||
\(951\) | −12.6405 | + | 4.48142i | −0.409898 | + | 0.145320i | ||||
\(952\) | 2.66944 | − | 10.5881i | 0.0865169 | − | 0.343163i | ||||
\(953\) | 6.03530 | + | 3.48448i | 0.195502 | + | 0.112873i | 0.594556 | − | 0.804054i | \(-0.297328\pi\) |
−0.399053 | + | 0.916928i | \(0.630661\pi\) | |||||||
\(954\) | −14.4332 | − | 3.15800i | −0.467294 | − | 0.102244i | ||||
\(955\) | 4.52775 | − | 2.61410i | 0.146514 | − | 0.0845901i | ||||
\(956\) | −8.00616 | − | 7.40519i | −0.258938 | − | 0.239501i | ||||
\(957\) | 1.06770 | + | 6.36615i | 0.0345140 | + | 0.205788i | ||||
\(958\) | −4.44368 | − | 29.3251i | −0.143569 | − | 0.947451i | ||||
\(959\) | −15.2167 | + | 12.7684i | −0.491374 | + | 0.412312i | ||||
\(960\) | −8.61631 | + | 5.22238i | −0.278090 | + | 0.168551i | ||||
\(961\) | −17.3034 | + | 6.29791i | −0.558173 | + | 0.203158i | ||||
\(962\) | −31.7128 | − | 0.765869i | −1.02246 | − | 0.0246926i | ||||
\(963\) | 14.3727 | − | 23.9596i | 0.463155 | − | 0.772088i | ||||
\(964\) | −39.5103 | − | 1.90947i | −1.27254 | − | 0.0614999i | ||||
\(965\) | 1.20001 | + | 0.211594i | 0.0386296 | + | 0.00681144i | ||||
\(966\) | 0.750433 | + | 0.672442i | 0.0241448 | + | 0.0216355i | ||||
\(967\) | 13.0359 | − | 35.8159i | 0.419207 | − | 1.15176i | −0.532948 | − | 0.846148i | \(-0.678916\pi\) |
0.952155 | − | 0.305615i | \(-0.0988620\pi\) | |||||||
\(968\) | 2.85435 | + | 27.8602i | 0.0917424 | + | 0.895460i | ||||
\(969\) | −16.8007 | + | 9.51341i | −0.539715 | + | 0.305615i | ||||
\(970\) | 0.320557 | + | 0.951606i | 0.0102925 | + | 0.0305542i | ||||
\(971\) | 8.50487 | 0.272934 | 0.136467 | − | 0.990645i | \(-0.456425\pi\) | ||||
0.136467 | + | 0.990645i | \(0.456425\pi\) | |||||||
\(972\) | −31.0659 | + | 2.62895i | −0.996438 | + | 0.0843237i | ||||
\(973\) | 18.1921 | 0.583211 | ||||||||
\(974\) | −12.5008 | − | 37.1098i | −0.400551 | − | 1.18908i | ||||
\(975\) | −23.7491 | + | 13.4480i | −0.760581 | + | 0.430680i | ||||
\(976\) | 16.9746 | + | 8.10873i | 0.543343 | + | 0.259554i | ||||
\(977\) | 1.65533 | − | 4.54798i | 0.0529586 | − | 0.145503i | −0.910393 | − | 0.413745i | \(-0.864221\pi\) |
0.963351 | + | 0.268242i | \(0.0864428\pi\) | |||||||
\(978\) | 6.61741 | + | 5.92968i | 0.211602 | + | 0.189610i | ||||
\(979\) | −5.04038 | − | 0.888755i | −0.161091 | − | 0.0284047i | ||||
\(980\) | 0.0702003 | − | 1.45257i | 0.00224247 | − | 0.0464005i | ||||
\(981\) | −4.20288 | + | 7.00629i | −0.134188 | + | 0.223694i | ||||
\(982\) | −15.1444 | − | 0.365740i | −0.483278 | − | 0.0116712i | ||||
\(983\) | −43.5105 | + | 15.8365i | −1.38777 | + | 0.505107i | −0.924524 | − | 0.381124i | \(-0.875537\pi\) |
−0.463245 | + | 0.886230i | \(0.653315\pi\) | |||||||
\(984\) | 36.6306 | − | 26.0036i | 1.16774 | − | 0.828965i | ||||
\(985\) | −5.02515 | + | 4.21660i | −0.160115 | + | 0.134352i | ||||
\(986\) | −2.90876 | − | 19.1957i | −0.0926337 | − | 0.611316i | ||||
\(987\) | 2.00392 | + | 11.9483i | 0.0637856 | + | 0.380319i | ||||
\(988\) | −13.8185 | + | 14.9399i | −0.439625 | + | 0.475303i | ||||
\(989\) | −2.45581 | + | 1.41786i | −0.0780901 | + | 0.0450853i | ||||
\(990\) | −3.15843 | − | 0.691064i | −0.100381 | − | 0.0219635i | ||||
\(991\) | −4.03199 | − | 2.32787i | −0.128080 | − | 0.0739473i | 0.434591 | − | 0.900628i | \(-0.356893\pi\) |
−0.562671 | + | 0.826681i | \(0.690226\pi\) | |||||||
\(992\) | 4.54276 | + | 19.5479i | 0.144233 | + | 0.620646i | ||||
\(993\) | −46.5935 | + | 16.5187i | −1.47860 | + | 0.524204i | ||||
\(994\) | −0.460937 | − | 0.577064i | −0.0146200 | − | 0.0183034i | ||||
\(995\) | 1.19101 | + | 6.75456i | 0.0377576 | + | 0.214134i | ||||
\(996\) | 20.1566 | − | 10.1615i | 0.638686 | − | 0.321979i | ||||
\(997\) | −12.1437 | − | 10.1897i | −0.384593 | − | 0.322712i | 0.429909 | − | 0.902872i | \(-0.358546\pi\) |
−0.814503 | + | 0.580160i | \(0.802990\pi\) | |||||||
\(998\) | 28.3397 | + | 17.2874i | 0.897078 | + | 0.547223i | ||||
\(999\) | 29.0484 | − | 15.8130i | 0.919051 | − | 0.500301i |
(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 | 756.2.cf.a.659.99 | yes | 648 | |
4.3 | odd | 2 | inner | 756.2.cf.a.659.59 | yes | 648 | |
27.5 | odd | 18 | inner | 756.2.cf.a.491.59 | ✓ | 648 | |
108.59 | even | 18 | inner | 756.2.cf.a.491.99 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.cf.a.491.59 | ✓ | 648 | 27.5 | odd | 18 | inner | |
756.2.cf.a.491.99 | yes | 648 | 108.59 | even | 18 | inner | |
756.2.cf.a.659.59 | yes | 648 | 4.3 | odd | 2 | inner | |
756.2.cf.a.659.99 | yes | 648 | 1.1 | even | 1 | trivial |