Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(13,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bb (of order \(22\), degree \(10\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 13.1 | ||
Character | \(\chi\) | \(=\) | 552.13 |
Dual form | 552.2.bb.a.85.1 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{7}{11}\right)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40928 | − | 0.118034i | −0.996511 | − | 0.0834626i | ||||
\(3\) | 0.540641 | − | 0.841254i | 0.312139 | − | 0.485698i | ||||
\(4\) | 1.97214 | + | 0.332685i | 0.986068 | + | 0.166343i | ||||
\(5\) | −3.96495 | − | 1.81073i | −1.77318 | − | 0.809784i | −0.979499 | − | 0.201450i | \(-0.935434\pi\) |
−0.793681 | − | 0.608334i | \(-0.791838\pi\) | |||||||
\(6\) | −0.861210 | + | 1.12175i | −0.351588 | + | 0.457951i | ||||
\(7\) | −1.61967 | − | 0.475578i | −0.612178 | − | 0.179752i | −0.0390769 | − | 0.999236i | \(-0.512442\pi\) |
−0.573101 | + | 0.819484i | \(0.694260\pi\) | |||||||
\(8\) | −2.74002 | − | 0.701625i | −0.968744 | − | 0.248062i | ||||
\(9\) | −0.415415 | − | 0.909632i | −0.138472 | − | 0.303211i | ||||
\(10\) | 5.37400 | + | 3.01983i | 1.69941 | + | 0.954953i | ||||
\(11\) | −0.819826 | − | 0.710383i | −0.247187 | − | 0.214189i | 0.522451 | − | 0.852669i | \(-0.325018\pi\) |
−0.769638 | + | 0.638481i | \(0.779563\pi\) | |||||||
\(12\) | 1.34609 | − | 1.47920i | 0.388583 | − | 0.427009i | ||||
\(13\) | 0.113504 | + | 0.386558i | 0.0314803 | + | 0.107212i | 0.973734 | − | 0.227687i | \(-0.0731161\pi\) |
−0.942254 | + | 0.334899i | \(0.891298\pi\) | |||||||
\(14\) | 2.22644 | + | 0.861399i | 0.595040 | + | 0.230219i | ||||
\(15\) | −3.66690 | + | 2.35657i | −0.946789 | + | 0.608465i | ||||
\(16\) | 3.77864 | + | 1.31220i | 0.944660 | + | 0.328050i | ||||
\(17\) | 0.783629 | + | 5.45026i | 0.190058 | + | 1.32188i | 0.831849 | + | 0.555002i | \(0.187283\pi\) |
−0.641791 | + | 0.766880i | \(0.721808\pi\) | |||||||
\(18\) | 0.478068 | + | 1.33096i | 0.112682 | + | 0.313710i | ||||
\(19\) | 0.673908 | + | 0.0968933i | 0.154605 | + | 0.0222289i | 0.219183 | − | 0.975684i | \(-0.429661\pi\) |
−0.0645776 | + | 0.997913i | \(0.520570\pi\) | |||||||
\(20\) | −7.21702 | − | 4.89009i | −1.61377 | − | 1.09346i | ||||
\(21\) | −1.27574 | + | 1.10544i | −0.278390 | + | 0.241226i | ||||
\(22\) | 1.07151 | + | 1.09790i | 0.228448 | + | 0.234072i | ||||
\(23\) | 3.43668 | + | 3.34503i | 0.716597 | + | 0.697487i | ||||
\(24\) | −2.07161 | + | 1.92573i | −0.422866 | + | 0.393087i | ||||
\(25\) | 9.16778 | + | 10.5802i | 1.83356 | + | 2.11604i | ||||
\(26\) | −0.114331 | − | 0.558166i | −0.0224223 | − | 0.109465i | ||||
\(27\) | −0.989821 | − | 0.142315i | −0.190491 | − | 0.0273885i | ||||
\(28\) | −3.03599 | − | 1.47675i | −0.573749 | − | 0.279079i | ||||
\(29\) | −2.81279 | + | 0.404418i | −0.522322 | + | 0.0750985i | −0.398433 | − | 0.917198i | \(-0.630446\pi\) |
−0.123889 | + | 0.992296i | \(0.539537\pi\) | |||||||
\(30\) | 5.44584 | − | 2.88825i | 0.994270 | − | 0.527320i | ||||
\(31\) | −2.24367 | + | 1.44192i | −0.402976 | + | 0.258977i | −0.726393 | − | 0.687280i | \(-0.758805\pi\) |
0.323417 | + | 0.946257i | \(0.395168\pi\) | |||||||
\(32\) | −5.17028 | − | 2.29527i | −0.913984 | − | 0.405750i | ||||
\(33\) | −1.04084 | + | 0.305619i | −0.181188 | + | 0.0532015i | ||||
\(34\) | −0.461037 | − | 7.77343i | −0.0790672 | − | 1.33313i | ||||
\(35\) | 5.56077 | + | 4.81844i | 0.939942 | + | 0.814465i | ||||
\(36\) | −0.516634 | − | 1.93212i | −0.0861056 | − | 0.322020i | ||||
\(37\) | −3.01332 | + | 1.37614i | −0.495386 | + | 0.226235i | −0.647411 | − | 0.762141i | \(-0.724148\pi\) |
0.152024 | + | 0.988377i | \(0.451421\pi\) | |||||||
\(38\) | −0.938288 | − | 0.216094i | −0.152210 | − | 0.0350550i | ||||
\(39\) | 0.386558 | + | 0.113504i | 0.0618989 | + | 0.0181751i | ||||
\(40\) | 9.59360 | + | 7.74336i | 1.51688 | + | 1.22433i | ||||
\(41\) | 3.05516 | − | 6.68988i | 0.477137 | − | 1.04478i | −0.506104 | − | 0.862472i | \(-0.668915\pi\) |
0.983241 | − | 0.182311i | \(-0.0583578\pi\) | |||||||
\(42\) | 1.92836 | − | 1.40729i | 0.297552 | − | 0.217149i | ||||
\(43\) | 0.367868 | − | 0.572414i | 0.0560993 | − | 0.0872922i | −0.812071 | − | 0.583559i | \(-0.801660\pi\) |
0.868170 | + | 0.496267i | \(0.165296\pi\) | |||||||
\(44\) | −1.38047 | − | 1.67372i | −0.208114 | − | 0.252322i | ||||
\(45\) | 4.35885i | 0.649779i | ||||||||
\(46\) | −4.44841 | − | 5.11973i | −0.655883 | − | 0.754863i | ||||
\(47\) | −2.72025 | −0.396790 | −0.198395 | − | 0.980122i | \(-0.563573\pi\) | ||||
−0.198395 | + | 0.980122i | \(0.563573\pi\) | |||||||
\(48\) | 3.14678 | − | 2.46937i | 0.454199 | − | 0.356422i | ||||
\(49\) | −3.49161 | − | 2.24392i | −0.498802 | − | 0.320561i | ||||
\(50\) | −11.6711 | − | 15.9925i | −1.65055 | − | 2.26169i | ||||
\(51\) | 5.00871 | + | 2.28740i | 0.701360 | + | 0.320300i | ||||
\(52\) | 0.0952425 | + | 0.800106i | 0.0132078 | + | 0.110955i | ||||
\(53\) | −0.523217 | + | 1.78191i | −0.0718694 | + | 0.244765i | −0.987591 | − | 0.157049i | \(-0.949802\pi\) |
0.915721 | + | 0.401814i | \(0.131620\pi\) | |||||||
\(54\) | 1.37814 | + | 0.317394i | 0.187541 | + | 0.0431918i | ||||
\(55\) | 1.96426 | + | 4.30112i | 0.264860 | + | 0.579963i | ||||
\(56\) | 4.10426 | + | 2.43950i | 0.548455 | + | 0.325992i | ||||
\(57\) | 0.445854 | − | 0.514543i | 0.0590548 | − | 0.0681529i | ||||
\(58\) | 4.01174 | − | 0.237933i | 0.526767 | − | 0.0312422i | ||||
\(59\) | 2.35845 | + | 8.03213i | 0.307043 | + | 1.04569i | 0.958045 | + | 0.286618i | \(0.0925309\pi\) |
−0.651002 | + | 0.759076i | \(0.725651\pi\) | |||||||
\(60\) | −8.01562 | + | 3.42756i | −1.03481 | + | 0.442496i | ||||
\(61\) | −3.07444 | − | 4.78392i | −0.393642 | − | 0.612519i | 0.586705 | − | 0.809801i | \(-0.300425\pi\) |
−0.980347 | + | 0.197282i | \(0.936789\pi\) | |||||||
\(62\) | 3.33216 | − | 1.76724i | 0.423185 | − | 0.224440i | ||||
\(63\) | 0.240234 | + | 1.67087i | 0.0302667 | + | 0.210510i | ||||
\(64\) | 7.01544 | + | 3.84494i | 0.876930 | + | 0.480617i | ||||
\(65\) | 0.249917 | − | 1.73821i | 0.0309984 | − | 0.215598i | ||||
\(66\) | 1.50291 | − | 0.307848i | 0.184996 | − | 0.0378935i | ||||
\(67\) | −10.4618 | + | 9.06521i | −1.27811 | + | 1.10749i | −0.289474 | + | 0.957186i | \(0.593480\pi\) |
−0.988639 | + | 0.150306i | \(0.951974\pi\) | |||||||
\(68\) | −0.267799 | + | 11.0094i | −0.0324754 | + | 1.33508i | ||||
\(69\) | 4.67203 | − | 1.08266i | 0.562446 | − | 0.130337i | ||||
\(70\) | −7.26794 | − | 7.44688i | −0.868685 | − | 0.890073i | ||||
\(71\) | 6.46751 | + | 7.46391i | 0.767553 | + | 0.885803i | 0.996145 | − | 0.0877191i | \(-0.0279578\pi\) |
−0.228593 | + | 0.973522i | \(0.573412\pi\) | |||||||
\(72\) | 0.500025 | + | 2.78388i | 0.0589286 | + | 0.328083i | ||||
\(73\) | −2.20953 | + | 15.3676i | −0.258605 | + | 1.79864i | 0.284182 | + | 0.958770i | \(0.408278\pi\) |
−0.542787 | + | 0.839870i | \(0.682631\pi\) | |||||||
\(74\) | 4.40903 | − | 1.58369i | 0.512540 | − | 0.184100i | ||||
\(75\) | 13.8571 | − | 1.99235i | 1.60008 | − | 0.230057i | ||||
\(76\) | 1.29680 | + | 0.415286i | 0.148754 | + | 0.0476366i | ||||
\(77\) | 0.990006 | + | 1.54048i | 0.112822 | + | 0.175554i | ||||
\(78\) | −0.531371 | − | 0.205585i | −0.0601659 | − | 0.0232780i | ||||
\(79\) | −13.5976 | + | 3.99260i | −1.52985 | + | 0.449203i | −0.935003 | − | 0.354640i | \(-0.884604\pi\) |
−0.594842 | + | 0.803843i | \(0.702785\pi\) | |||||||
\(80\) | −12.6061 | − | 12.0449i | −1.40940 | − | 1.34666i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −5.09521 | + | 9.06729i | −0.562672 | + | 1.00132i | ||||
\(83\) | −5.70081 | + | 2.60347i | −0.625745 | + | 0.285768i | −0.702941 | − | 0.711248i | \(-0.748130\pi\) |
0.0771965 | + | 0.997016i | \(0.475403\pi\) | |||||||
\(84\) | −2.88370 | + | 1.75565i | −0.314638 | + | 0.191557i | ||||
\(85\) | 6.76191 | − | 23.0290i | 0.733432 | − | 2.49784i | ||||
\(86\) | −0.585993 | + | 0.763270i | −0.0631892 | + | 0.0823055i | ||||
\(87\) | −1.18049 | + | 2.58491i | −0.126562 | + | 0.277132i | ||||
\(88\) | 1.74792 | + | 2.52168i | 0.186329 | + | 0.268812i | ||||
\(89\) | −14.2449 | − | 9.15461i | −1.50995 | − | 0.970387i | −0.993471 | − | 0.114088i | \(-0.963605\pi\) |
−0.516481 | − | 0.856299i | \(-0.672758\pi\) | |||||||
\(90\) | 0.514492 | − | 6.14284i | 0.0542322 | − | 0.647512i | ||||
\(91\) | − | 0.680077i | − | 0.0712915i | ||||||
\(92\) | 5.66476 | + | 7.74019i | 0.590592 | + | 0.806971i | ||||
\(93\) | 2.66706i | 0.276561i | ||||||||
\(94\) | 3.83360 | + | 0.321082i | 0.395406 | + | 0.0331171i | ||||
\(95\) | −2.49656 | − | 1.60444i | −0.256142 | − | 0.164613i | ||||
\(96\) | −4.72616 | + | 3.10860i | −0.482362 | + | 0.317270i | ||||
\(97\) | 6.00475 | − | 13.1486i | 0.609690 | − | 1.33503i | −0.313096 | − | 0.949721i | \(-0.601366\pi\) |
0.922786 | − | 0.385313i | \(-0.125906\pi\) | |||||||
\(98\) | 4.65580 | + | 3.57444i | 0.470307 | + | 0.361073i | ||||
\(99\) | −0.305619 | + | 1.04084i | −0.0307159 | + | 0.104609i | ||||
\(100\) | 14.5602 | + | 23.9155i | 1.45602 | + | 2.39155i | ||||
\(101\) | 1.60934 | − | 0.734959i | 0.160135 | − | 0.0731312i | −0.333735 | − | 0.942667i | \(-0.608309\pi\) |
0.493870 | + | 0.869536i | \(0.335582\pi\) | |||||||
\(102\) | −6.78868 | − | 3.81479i | −0.672180 | − | 0.377720i | ||||
\(103\) | 5.83247 | − | 6.73103i | 0.574690 | − | 0.663228i | −0.391764 | − | 0.920066i | \(-0.628135\pi\) |
0.966455 | + | 0.256838i | \(0.0826806\pi\) | |||||||
\(104\) | −0.0397837 | − | 1.13882i | −0.00390111 | − | 0.111670i | ||||
\(105\) | 7.05991 | − | 2.07298i | 0.688977 | − | 0.202302i | ||||
\(106\) | 0.947686 | − | 2.44946i | 0.0920474 | − | 0.237912i | ||||
\(107\) | 9.30345 | + | 14.4765i | 0.899399 | + | 1.39949i | 0.916672 | + | 0.399641i | \(0.130865\pi\) |
−0.0172727 | + | 0.999851i | \(0.505498\pi\) | |||||||
\(108\) | −1.90472 | − | 0.609963i | −0.183281 | − | 0.0586937i | ||||
\(109\) | 11.8085 | − | 1.69780i | 1.13105 | − | 0.162620i | 0.448723 | − | 0.893671i | \(-0.351879\pi\) |
0.682323 | + | 0.731051i | \(0.260970\pi\) | |||||||
\(110\) | −2.26051 | − | 6.29333i | −0.215531 | − | 0.600045i | ||||
\(111\) | −0.471443 | + | 3.27896i | −0.0447474 | + | 0.311225i | ||||
\(112\) | −5.49610 | − | 3.92238i | −0.519333 | − | 0.370630i | ||||
\(113\) | −1.58712 | − | 1.83163i | −0.149303 | − | 0.172305i | 0.676171 | − | 0.736744i | \(-0.263638\pi\) |
−0.825475 | + | 0.564439i | \(0.809092\pi\) | |||||||
\(114\) | −0.689066 | + | 0.672509i | −0.0645370 | + | 0.0629862i | ||||
\(115\) | −7.56931 | − | 19.4858i | −0.705842 | − | 1.81706i | ||||
\(116\) | −5.68175 | − | 0.138206i | −0.527537 | − | 0.0128321i | ||||
\(117\) | 0.304475 | − | 0.263829i | 0.0281487 | − | 0.0243910i | ||||
\(118\) | −2.37564 | − | 11.5979i | −0.218696 | − | 1.06767i | ||||
\(119\) | 1.32280 | − | 9.20031i | 0.121261 | − | 0.843391i | ||||
\(120\) | 11.7008 | − | 3.88427i | 1.06813 | − | 0.354584i | ||||
\(121\) | −1.39799 | − | 9.72325i | −0.127090 | − | 0.883932i | ||||
\(122\) | 3.76808 | + | 7.10477i | 0.341146 | + | 0.643236i | ||||
\(123\) | −3.97614 | − | 6.18699i | −0.358516 | − | 0.557862i | ||||
\(124\) | −4.90454 | + | 2.09723i | −0.440440 | + | 0.188337i | ||||
\(125\) | −11.0518 | − | 37.6389i | −0.988500 | − | 3.36652i | ||||
\(126\) | −0.141339 | − | 2.38307i | −0.0125914 | − | 0.212301i | ||||
\(127\) | −13.6522 | + | 15.7555i | −1.21144 | + | 1.39807i | −0.318480 | + | 0.947929i | \(0.603173\pi\) |
−0.892956 | + | 0.450143i | \(0.851373\pi\) | |||||||
\(128\) | −9.43289 | − | 6.24665i | −0.833757 | − | 0.552131i | ||||
\(129\) | −0.282661 | − | 0.618940i | −0.0248869 | − | 0.0544946i | ||||
\(130\) | −0.557370 | + | 2.42012i | −0.0488846 | + | 0.212259i | ||||
\(131\) | 0.210884 | − | 0.718205i | 0.0184250 | − | 0.0627499i | −0.949767 | − | 0.312957i | \(-0.898680\pi\) |
0.968192 | + | 0.250207i | \(0.0804987\pi\) | |||||||
\(132\) | −2.15436 | + | 0.256449i | −0.187513 | + | 0.0223211i | ||||
\(133\) | −1.04543 | − | 0.477431i | −0.0906502 | − | 0.0413986i | ||||
\(134\) | 15.8136 | − | 11.5406i | 1.36609 | − | 0.996953i | ||||
\(135\) | 3.66690 | + | 2.35657i | 0.315596 | + | 0.202822i | ||||
\(136\) | 1.67688 | − | 15.4836i | 0.143791 | − | 1.32771i | ||||
\(137\) | −12.6522 | −1.08095 | −0.540474 | − | 0.841360i | \(-0.681755\pi\) | ||||
−0.540474 | + | 0.841360i | \(0.681755\pi\) | |||||||
\(138\) | −6.71198 | + | 0.974310i | −0.571362 | + | 0.0829387i | ||||
\(139\) | − | 4.90388i | − | 0.415941i | −0.978135 | − | 0.207971i | \(-0.933314\pi\) | ||
0.978135 | − | 0.207971i | \(-0.0666858\pi\) | |||||||
\(140\) | 9.36358 | + | 11.3526i | 0.791367 | + | 0.959470i | ||||
\(141\) | −1.47068 | + | 2.28842i | −0.123854 | + | 0.192720i | ||||
\(142\) | −8.23354 | − | 11.2821i | −0.690943 | − | 0.946774i | ||||
\(143\) | 0.181551 | − | 0.397542i | 0.0151821 | − | 0.0332441i | ||||
\(144\) | −0.376084 | − | 3.98228i | −0.0313403 | − | 0.331857i | ||||
\(145\) | 11.8849 | + | 3.48971i | 0.986984 | + | 0.289805i | ||||
\(146\) | 4.92774 | − | 21.3964i | 0.407822 | − | 1.77078i | ||||
\(147\) | −3.77542 | + | 1.72418i | −0.311391 | + | 0.142208i | ||||
\(148\) | −6.40049 | + | 1.71144i | −0.526117 | + | 0.140679i | ||||
\(149\) | 0.602038 | + | 0.521669i | 0.0493209 | + | 0.0427368i | 0.679172 | − | 0.733979i | \(-0.262339\pi\) |
−0.629852 | + | 0.776716i | \(0.716884\pi\) | |||||||
\(150\) | −19.7637 | + | 1.17217i | −1.61370 | + | 0.0957073i | ||||
\(151\) | 8.23177 | − | 2.41707i | 0.669892 | − | 0.196698i | 0.0709371 | − | 0.997481i | \(-0.477401\pi\) |
0.598955 | + | 0.800783i | \(0.295583\pi\) | |||||||
\(152\) | −1.77854 | − | 0.738321i | −0.144259 | − | 0.0598857i | ||||
\(153\) | 4.63220 | − | 2.97693i | 0.374491 | − | 0.240671i | ||||
\(154\) | −1.21337 | − | 2.28782i | −0.0977758 | − | 0.184358i | ||||
\(155\) | 11.5070 | − | 1.65446i | 0.924264 | − | 0.132889i | ||||
\(156\) | 0.724584 | + | 0.352447i | 0.0580132 | + | 0.0282184i | ||||
\(157\) | −19.9028 | − | 2.86159i | −1.58842 | − | 0.228380i | −0.709272 | − | 0.704935i | \(-0.750976\pi\) |
−0.879145 | + | 0.476555i | \(0.841885\pi\) | |||||||
\(158\) | 19.6340 | − | 4.02172i | 1.56200 | − | 0.319951i | ||||
\(159\) | 1.21617 | + | 1.40353i | 0.0964485 | + | 0.111308i | ||||
\(160\) | 16.3438 | + | 18.4626i | 1.29209 | + | 1.45960i | ||||
\(161\) | −3.97547 | − | 7.05226i | −0.313311 | − | 0.555796i | ||||
\(162\) | 1.01209 | − | 0.987766i | 0.0795170 | − | 0.0776063i | ||||
\(163\) | −7.72231 | + | 6.69142i | −0.604858 | + | 0.524112i | −0.902570 | − | 0.430543i | \(-0.858322\pi\) |
0.297712 | + | 0.954656i | \(0.403776\pi\) | |||||||
\(164\) | 8.25083 | − | 12.1769i | 0.644281 | − | 0.950859i | ||||
\(165\) | 4.68029 | + | 0.672924i | 0.364360 | + | 0.0523871i | ||||
\(166\) | 8.34133 | − | 2.99613i | 0.647413 | − | 0.232545i | ||||
\(167\) | 0.867079 | + | 6.03067i | 0.0670966 | + | 0.466667i | 0.995474 | + | 0.0950295i | \(0.0302945\pi\) |
−0.928378 | + | 0.371638i | \(0.878796\pi\) | |||||||
\(168\) | 4.27117 | − | 2.13383i | 0.329528 | − | 0.164628i | ||||
\(169\) | 10.7998 | − | 6.94058i | 0.830750 | − | 0.533891i | ||||
\(170\) | −12.2476 | + | 31.6561i | −0.939349 | + | 2.42791i | ||||
\(171\) | −0.191814 | − | 0.653259i | −0.0146684 | − | 0.0499560i | ||||
\(172\) | 0.915919 | − | 1.00649i | 0.0698382 | − | 0.0767444i | ||||
\(173\) | 16.0120 | + | 13.8745i | 1.21737 | + | 1.05486i | 0.996837 | + | 0.0794781i | \(0.0253254\pi\) |
0.220534 | + | 0.975379i | \(0.429220\pi\) | |||||||
\(174\) | 1.96875 | − | 3.50353i | 0.149250 | − | 0.265602i | ||||
\(175\) | −9.81709 | − | 21.4964i | −0.742102 | − | 1.62498i | ||||
\(176\) | −2.16566 | − | 3.76006i | −0.163243 | − | 0.283425i | ||||
\(177\) | 8.03213 | + | 2.35845i | 0.603732 | + | 0.177272i | ||||
\(178\) | 18.9944 | + | 14.5828i | 1.42369 | + | 1.09303i | ||||
\(179\) | −8.03644 | − | 3.67012i | −0.600672 | − | 0.274318i | 0.0917828 | − | 0.995779i | \(-0.470743\pi\) |
−0.692455 | + | 0.721461i | \(0.743471\pi\) | |||||||
\(180\) | −1.45013 | + | 8.59625i | −0.108086 | + | 0.640727i | ||||
\(181\) | −6.00834 | + | 9.34915i | −0.446596 | + | 0.694917i | −0.989444 | − | 0.144914i | \(-0.953710\pi\) |
0.542848 | + | 0.839831i | \(0.317346\pi\) | |||||||
\(182\) | −0.0802722 | + | 0.958419i | −0.00595017 | + | 0.0710427i | ||||
\(183\) | −5.68666 | −0.420370 | ||||||||
\(184\) | −7.06962 | − | 11.5767i | −0.521179 | − | 0.853447i | ||||
\(185\) | 14.4395 | 1.06161 | ||||||||
\(186\) | 0.314804 | − | 3.75863i | 0.0230825 | − | 0.275596i | ||||
\(187\) | 3.22933 | − | 5.02494i | 0.236152 | − | 0.367460i | ||||
\(188\) | −5.36471 | − | 0.904989i | −0.391262 | − | 0.0660031i | ||||
\(189\) | 1.53550 | + | 0.701241i | 0.111691 | + | 0.0510078i | ||||
\(190\) | 3.32898 | + | 2.55579i | 0.241509 | + | 0.185416i | ||||
\(191\) | −21.1937 | − | 6.22304i | −1.53352 | − | 0.450283i | −0.597396 | − | 0.801946i | \(-0.703798\pi\) |
−0.936127 | + | 0.351663i | \(0.885616\pi\) | |||||||
\(192\) | 7.02740 | − | 3.82304i | 0.507159 | − | 0.275904i | ||||
\(193\) | −8.87753 | − | 19.4391i | −0.639019 | − | 1.39926i | −0.900845 | − | 0.434141i | \(-0.857052\pi\) |
0.261826 | − | 0.965115i | \(-0.415675\pi\) | |||||||
\(194\) | −10.0143 | + | 17.8212i | −0.718988 | + | 1.27949i | ||||
\(195\) | −1.32716 | − | 1.14999i | −0.0950399 | − | 0.0823525i | ||||
\(196\) | −6.13942 | − | 5.58693i | −0.438530 | − | 0.399067i | ||||
\(197\) | 0.977253 | + | 3.32822i | 0.0696264 | + | 0.237126i | 0.986953 | − | 0.161011i | \(-0.0514753\pi\) |
−0.917326 | + | 0.398136i | \(0.869657\pi\) | |||||||
\(198\) | 0.553558 | − | 1.43077i | 0.0393396 | − | 0.101680i | ||||
\(199\) | −1.80215 | + | 1.15817i | −0.127751 | + | 0.0821007i | −0.602956 | − | 0.797775i | \(-0.706010\pi\) |
0.475204 | + | 0.879875i | \(0.342374\pi\) | |||||||
\(200\) | −17.6966 | − | 35.4223i | −1.25134 | − | 2.50473i | ||||
\(201\) | 1.97006 | + | 13.7021i | 0.138957 | + | 0.966469i | ||||
\(202\) | −2.35475 | + | 0.845806i | −0.165680 | + | 0.0595107i | ||||
\(203\) | 4.74813 | + | 0.682677i | 0.333253 | + | 0.0479146i | ||||
\(204\) | 9.11688 | + | 6.17739i | 0.638309 | + | 0.432504i | ||||
\(205\) | −24.2272 | + | 20.9930i | −1.69210 | + | 1.46621i | ||||
\(206\) | −9.01407 | + | 8.79747i | −0.628040 | + | 0.612949i | ||||
\(207\) | 1.61510 | − | 4.51569i | 0.112257 | − | 0.313862i | ||||
\(208\) | −0.0783525 | + | 1.60960i | −0.00543277 | + | 0.111606i | ||||
\(209\) | −0.483656 | − | 0.558169i | −0.0334552 | − | 0.0386093i | ||||
\(210\) | −10.1941 | + | 2.08809i | −0.703457 | + | 0.144092i | ||||
\(211\) | 19.0089 | + | 2.73306i | 1.30862 | + | 0.188152i | 0.761098 | − | 0.648637i | \(-0.224661\pi\) |
0.547526 | + | 0.836789i | \(0.315570\pi\) | |||||||
\(212\) | −1.62467 | + | 3.34011i | −0.111583 | + | 0.229400i | ||||
\(213\) | 9.77564 | − | 1.40553i | 0.669816 | − | 0.0963050i | ||||
\(214\) | −11.4025 | − | 21.4995i | −0.779456 | − | 1.46968i | ||||
\(215\) | −2.49507 | + | 1.60348i | −0.170162 | + | 0.109357i | ||||
\(216\) | 2.61228 | + | 1.08443i | 0.177743 | + | 0.0737861i | ||||
\(217\) | 4.31976 | − | 1.26840i | 0.293245 | − | 0.0861044i | ||||
\(218\) | −16.8418 | + | 0.998877i | −1.14067 | + | 0.0676525i | ||||
\(219\) | 11.7335 | + | 10.1671i | 0.792875 | + | 0.687030i | ||||
\(220\) | 2.44286 | + | 9.13587i | 0.164698 | + | 0.615941i | ||||
\(221\) | −2.01790 | + | 0.921543i | −0.135739 | + | 0.0619897i | ||||
\(222\) | 1.05142 | − | 4.56532i | 0.0705669 | − | 0.306404i | ||||
\(223\) | 8.52809 | + | 2.50407i | 0.571083 | + | 0.167685i | 0.554509 | − | 0.832177i | \(-0.312906\pi\) |
0.0165740 | + | 0.999863i | \(0.494724\pi\) | |||||||
\(224\) | 7.28257 | + | 6.17645i | 0.486587 | + | 0.412681i | ||||
\(225\) | 5.81564 | − | 12.7345i | 0.387709 | − | 0.848965i | ||||
\(226\) | 2.02050 | + | 2.76861i | 0.134401 | + | 0.184165i | ||||
\(227\) | −9.91349 | + | 15.4257i | −0.657981 | + | 1.02384i | 0.338577 | + | 0.940939i | \(0.390055\pi\) |
−0.996558 | + | 0.0828999i | \(0.973582\pi\) | |||||||
\(228\) | 1.05047 | − | 0.866420i | 0.0695688 | − | 0.0573800i | ||||
\(229\) | 10.6503i | 0.703794i | 0.936039 | + | 0.351897i | \(0.114463\pi\) | ||||
−0.936039 | + | 0.351897i | \(0.885537\pi\) | |||||||
\(230\) | 8.36728 | + | 28.3544i | 0.551722 | + | 1.86963i | ||||
\(231\) | 1.83117 | 0.120482 | ||||||||
\(232\) | 7.99085 | + | 0.865410i | 0.524625 | + | 0.0568169i | ||||
\(233\) | 8.39838 | + | 5.39731i | 0.550196 | + | 0.353590i | 0.786015 | − | 0.618207i | \(-0.212141\pi\) |
−0.235819 | + | 0.971797i | \(0.575777\pi\) | |||||||
\(234\) | −0.460230 | + | 0.335870i | −0.0300862 | + | 0.0219565i | ||||
\(235\) | 10.7857 | + | 4.92565i | 0.703580 | + | 0.321314i | ||||
\(236\) | 1.97900 | + | 16.6251i | 0.128822 | + | 1.08220i | ||||
\(237\) | −3.99260 | + | 13.5976i | −0.259347 | + | 0.883256i | ||||
\(238\) | −2.95015 | + | 12.8097i | −0.191230 | + | 0.830327i | ||||
\(239\) | 0.105956 | + | 0.232012i | 0.00685376 | + | 0.0150076i | 0.913028 | − | 0.407897i | \(-0.133738\pi\) |
−0.906174 | + | 0.422905i | \(0.861011\pi\) | |||||||
\(240\) | −16.9482 | + | 4.09293i | −1.09400 | + | 0.264198i | ||||
\(241\) | −3.40424 | + | 3.92870i | −0.219286 | + | 0.253070i | −0.854724 | − | 0.519082i | \(-0.826274\pi\) |
0.635438 | + | 0.772152i | \(0.280819\pi\) | |||||||
\(242\) | 0.822489 | + | 13.8678i | 0.0528716 | + | 0.891455i | ||||
\(243\) | 0.281733 | + | 0.959493i | 0.0180732 | + | 0.0615515i | ||||
\(244\) | −4.47168 | − | 10.4574i | −0.286270 | − | 0.669465i | ||||
\(245\) | 9.78093 | + | 15.2194i | 0.624881 | + | 0.972334i | ||||
\(246\) | 4.87321 | + | 9.18851i | 0.310705 | + | 0.585838i | ||||
\(247\) | 0.0390362 | + | 0.271502i | 0.00248381 | + | 0.0172753i | ||||
\(248\) | 7.15941 | − | 2.37668i | 0.454623 | − | 0.150919i | ||||
\(249\) | −0.891910 | + | 6.20337i | −0.0565225 | + | 0.393122i | ||||
\(250\) | 11.1324 | + | 54.3482i | 0.704073 | + | 3.43728i | ||||
\(251\) | −11.6024 | + | 10.0536i | −0.732338 | + | 0.634575i | −0.939032 | − | 0.343831i | \(-0.888275\pi\) |
0.206693 | + | 0.978406i | \(0.433730\pi\) | |||||||
\(252\) | −0.0820981 | + | 3.37510i | −0.00517169 | + | 0.212611i | ||||
\(253\) | −0.441224 | − | 5.18370i | −0.0277395 | − | 0.325897i | ||||
\(254\) | 21.0994 | − | 20.5924i | 1.32390 | − | 1.29209i | ||||
\(255\) | −15.7174 | − | 18.1389i | −0.984263 | − | 1.13590i | ||||
\(256\) | 12.5563 | + | 9.91668i | 0.784766 | + | 0.619792i | ||||
\(257\) | 1.61940 | − | 11.2632i | 0.101016 | − | 0.702580i | −0.874880 | − | 0.484340i | \(-0.839060\pi\) |
0.975895 | − | 0.218239i | \(-0.0700313\pi\) | |||||||
\(258\) | 0.325292 | + | 0.905623i | 0.0202518 | + | 0.0563816i | ||||
\(259\) | 5.53504 | − | 0.795819i | 0.343931 | − | 0.0494498i | ||||
\(260\) | 1.07115 | − | 3.34484i | 0.0664297 | − | 0.207438i | ||||
\(261\) | 1.53635 | + | 2.39060i | 0.0950974 | + | 0.147974i | ||||
\(262\) | −0.381967 | + | 0.987260i | −0.0235980 | + | 0.0609932i | ||||
\(263\) | 23.2386 | − | 6.82348i | 1.43295 | − | 0.420754i | 0.529088 | − | 0.848567i | \(-0.322534\pi\) |
0.903867 | + | 0.427814i | \(0.140716\pi\) | |||||||
\(264\) | 3.06637 | − | 0.107121i | 0.188722 | − | 0.00659286i | ||||
\(265\) | 5.30110 | − | 6.11780i | 0.325644 | − | 0.375813i | ||||
\(266\) | 1.41695 | + | 0.796230i | 0.0868787 | + | 0.0488200i | ||||
\(267\) | −15.4027 | + | 7.03418i | −0.942630 | + | 0.430485i | ||||
\(268\) | −23.6480 | + | 14.3973i | −1.44453 | + | 0.879457i | ||||
\(269\) | 3.15285 | − | 10.7376i | 0.192233 | − | 0.654684i | −0.805812 | − | 0.592172i | \(-0.798271\pi\) |
0.998044 | − | 0.0625120i | \(-0.0199112\pi\) | |||||||
\(270\) | −4.88953 | − | 3.75389i | −0.297567 | − | 0.228454i | ||||
\(271\) | −7.79293 | + | 17.0641i | −0.473387 | + | 1.03657i | 0.510842 | + | 0.859675i | \(0.329334\pi\) |
−0.984229 | + | 0.176898i | \(0.943394\pi\) | |||||||
\(272\) | −4.19079 | + | 21.6229i | −0.254104 | + | 1.31108i | ||||
\(273\) | −0.572117 | − | 0.367678i | −0.0346261 | − | 0.0222529i | ||||
\(274\) | 17.8305 | + | 1.49339i | 1.07718 | + | 0.0902188i | ||||
\(275\) | − | 15.1865i | − | 0.915783i | ||||||
\(276\) | 9.57406 | − | 0.580833i | 0.576291 | − | 0.0349620i | ||||
\(277\) | 1.53760i | 0.0923854i | 0.998933 | + | 0.0461927i | \(0.0147088\pi\) | ||||
−0.998933 | + | 0.0461927i | \(0.985291\pi\) | |||||||
\(278\) | −0.578823 | + | 6.91093i | −0.0347155 | + | 0.414490i | ||||
\(279\) | 2.24367 | + | 1.44192i | 0.134325 | + | 0.0863256i | ||||
\(280\) | −11.8559 | − | 17.1042i | −0.708526 | − | 1.02217i | ||||
\(281\) | −6.17836 | + | 13.5287i | −0.368570 | + | 0.807056i | 0.630942 | + | 0.775830i | \(0.282668\pi\) |
−0.999512 | + | 0.0312262i | \(0.990059\pi\) | |||||||
\(282\) | 2.34271 | − | 3.05144i | 0.139506 | − | 0.181711i | ||||
\(283\) | 2.78247 | − | 9.47623i | 0.165401 | − | 0.563304i | −0.834523 | − | 0.550973i | \(-0.814257\pi\) |
0.999924 | − | 0.0123306i | \(-0.00392506\pi\) | |||||||
\(284\) | 10.2717 | + | 16.8715i | 0.609512 | + | 1.00114i | ||||
\(285\) | −2.69949 | + | 1.23282i | −0.159904 | + | 0.0730257i | ||||
\(286\) | −0.302780 | + | 0.538818i | −0.0179037 | + | 0.0318610i | ||||
\(287\) | −8.12993 | + | 9.38243i | −0.479894 | + | 0.553828i | ||||
\(288\) | 0.0599628 | + | 5.65654i | 0.00353334 | + | 0.333315i | ||||
\(289\) | −12.7799 | + | 3.75251i | −0.751757 | + | 0.220736i | ||||
\(290\) | −16.3372 | − | 6.32079i | −0.959353 | − | 0.371170i | ||||
\(291\) | −7.81486 | − | 12.1602i | −0.458115 | − | 0.712842i | ||||
\(292\) | −9.47006 | + | 29.5719i | −0.554193 | + | 1.73056i | ||||
\(293\) | −22.1348 | + | 3.18250i | −1.29313 | + | 0.185924i | −0.754321 | − | 0.656506i | \(-0.772034\pi\) |
−0.538807 | + | 0.842430i | \(0.681125\pi\) | |||||||
\(294\) | 5.52413 | − | 1.98422i | 0.322174 | − | 0.115722i | ||||
\(295\) | 5.19291 | − | 36.1175i | 0.302343 | − | 2.10284i | ||||
\(296\) | 9.22208 | − | 1.65642i | 0.536023 | − | 0.0962776i | ||||
\(297\) | 0.710383 | + | 0.819826i | 0.0412206 | + | 0.0475711i | ||||
\(298\) | −0.786865 | − | 0.806238i | −0.0455819 | − | 0.0467041i | ||||
\(299\) | −0.902974 | + | 1.70815i | −0.0522203 | + | 0.0987849i | ||||
\(300\) | 27.9909 | + | 0.680869i | 1.61606 | + | 0.0393100i | ||||
\(301\) | −0.868053 | + | 0.752172i | −0.0500337 | + | 0.0433545i | ||||
\(302\) | −11.8862 | + | 2.43469i | −0.683972 | + | 0.140101i | ||||
\(303\) | 0.251786 | − | 1.75121i | 0.0144647 | − | 0.100604i | ||||
\(304\) | 2.41931 | + | 1.25043i | 0.138757 | + | 0.0717170i | ||||
\(305\) | 3.52760 | + | 24.5350i | 0.201990 | + | 1.40487i | ||||
\(306\) | −6.87944 | + | 3.64857i | −0.393271 | + | 0.208575i | ||||
\(307\) | −14.9224 | − | 23.2197i | −0.851667 | − | 1.32522i | −0.944154 | − | 0.329505i | \(-0.893118\pi\) |
0.0924872 | − | 0.995714i | \(-0.470518\pi\) | |||||||
\(308\) | 1.43993 | + | 3.36739i | 0.0820477 | + | 0.191875i | ||||
\(309\) | −2.50923 | − | 8.54565i | −0.142745 | − | 0.486145i | ||||
\(310\) | −16.4118 | + | 0.973375i | −0.932130 | + | 0.0552840i | ||||
\(311\) | 13.7639 | − | 15.8843i | 0.780476 | − | 0.900718i | −0.216667 | − | 0.976245i | \(-0.569519\pi\) |
0.997144 | + | 0.0755277i | \(0.0240641\pi\) | |||||||
\(312\) | −0.979541 | − | 0.582222i | −0.0554556 | − | 0.0329618i | ||||
\(313\) | −1.43037 | − | 3.13208i | −0.0808494 | − | 0.177035i | 0.864890 | − | 0.501961i | \(-0.167388\pi\) |
−0.945740 | + | 0.324926i | \(0.894661\pi\) | |||||||
\(314\) | 27.7108 | + | 6.38199i | 1.56381 | + | 0.360156i | ||||
\(315\) | 2.07298 | − | 7.05991i | 0.116799 | − | 0.397781i | ||||
\(316\) | −28.1445 | + | 3.35025i | −1.58325 | + | 0.188466i | ||||
\(317\) | 16.2409 | + | 7.41696i | 0.912179 | + | 0.416578i | 0.815513 | − | 0.578739i | \(-0.196455\pi\) |
0.0966660 | + | 0.995317i | \(0.469182\pi\) | |||||||
\(318\) | −1.54826 | − | 2.12152i | −0.0868220 | − | 0.118969i | ||||
\(319\) | 2.59329 | + | 1.66661i | 0.145196 | + | 0.0933120i | ||||
\(320\) | −20.8537 | − | 27.9481i | −1.16576 | − | 1.56235i | ||||
\(321\) | 17.2082 | 0.960468 | ||||||||
\(322\) | 4.77014 | + | 10.4078i | 0.265829 | + | 0.580007i | ||||
\(323\) | 3.74890i | 0.208594i | ||||||||
\(324\) | −1.54290 | + | 1.27258i | −0.0857167 | + | 0.0706988i | ||||
\(325\) | −3.04928 | + | 4.74477i | −0.169144 | + | 0.263193i | ||||
\(326\) | 11.6727 | − | 8.51858i | 0.646491 | − | 0.471801i | ||||
\(327\) | 4.95586 | − | 10.8518i | 0.274060 | − | 0.600107i | ||||
\(328\) | −13.0650 | + | 16.1868i | −0.721394 | + | 0.893768i | ||||
\(329\) | 4.40592 | + | 1.29369i | 0.242906 | + | 0.0713237i | ||||
\(330\) | −6.51641 | − | 1.50077i | −0.358716 | − | 0.0826147i | ||||
\(331\) | −15.2612 | + | 6.96957i | −0.838833 | + | 0.383082i | −0.788038 | − | 0.615627i | \(-0.788903\pi\) |
−0.0507950 | + | 0.998709i | \(0.516176\pi\) | |||||||
\(332\) | −12.1089 | + | 3.23782i | −0.664563 | + | 0.177699i | ||||
\(333\) | 2.50355 | + | 2.16934i | 0.137194 | + | 0.118879i | ||||
\(334\) | −0.510134 | − | 8.60124i | −0.0279133 | − | 0.470639i | ||||
\(335\) | 57.8953 | − | 16.9996i | 3.16316 | − | 0.928786i | ||||
\(336\) | −6.27113 | + | 2.50302i | −0.342118 | + | 0.136551i | ||||
\(337\) | −13.0739 | + | 8.40206i | −0.712178 | + | 0.457689i | −0.845908 | − | 0.533329i | \(-0.820941\pi\) |
0.133730 | + | 0.991018i | \(0.457305\pi\) | |||||||
\(338\) | −16.0391 | + | 8.50648i | −0.872411 | + | 0.462691i | ||||
\(339\) | −2.39893 | + | 0.344913i | −0.130292 | + | 0.0187331i | ||||
\(340\) | 20.9968 | − | 43.1666i | 1.13871 | − | 2.34104i | ||||
\(341\) | 2.86374 | + | 0.411744i | 0.155080 | + | 0.0222972i | ||||
\(342\) | 0.193213 | + | 0.943265i | 0.0104478 | + | 0.0510059i | ||||
\(343\) | 12.3262 | + | 14.2252i | 0.665550 | + | 0.768086i | ||||
\(344\) | −1.40959 | + | 1.31032i | −0.0759998 | + | 0.0706477i | ||||
\(345\) | −20.4848 | − | 4.16711i | −1.10286 | − | 0.224350i | ||||
\(346\) | −20.9277 | − | 21.4430i | −1.12508 | − | 1.15278i | ||||
\(347\) | −12.8341 | + | 11.1208i | −0.688969 | + | 0.596995i | −0.927358 | − | 0.374175i | \(-0.877926\pi\) |
0.238389 | + | 0.971170i | \(0.423381\pi\) | |||||||
\(348\) | −3.18805 | + | 4.70507i | −0.170897 | + | 0.252218i | ||||
\(349\) | −13.1038 | − | 1.88405i | −0.701433 | − | 0.100851i | −0.217634 | − | 0.976030i | \(-0.569834\pi\) |
−0.483798 | + | 0.875180i | \(0.660743\pi\) | |||||||
\(350\) | 11.2977 | + | 31.4532i | 0.603888 | + | 1.68124i | ||||
\(351\) | −0.0573355 | − | 0.398777i | −0.00306034 | − | 0.0212851i | ||||
\(352\) | 2.60821 | + | 5.55460i | 0.139018 | + | 0.296061i | ||||
\(353\) | 2.96531 | − | 1.90569i | 0.157827 | − | 0.101430i | −0.459343 | − | 0.888259i | \(-0.651915\pi\) |
0.617171 | + | 0.786829i | \(0.288279\pi\) | |||||||
\(354\) | −11.0411 | − | 4.27177i | −0.586830 | − | 0.227042i | ||||
\(355\) | −12.1282 | − | 41.3050i | −0.643700 | − | 2.19224i | ||||
\(356\) | −25.0472 | − | 22.7932i | −1.32750 | − | 1.20804i | ||||
\(357\) | −7.02463 | − | 6.08688i | −0.371783 | − | 0.322152i | ||||
\(358\) | 10.8924 | + | 6.12080i | 0.575681 | + | 0.323494i | ||||
\(359\) | 7.06201 | + | 15.4636i | 0.372719 | + | 0.816140i | 0.999323 | + | 0.0368022i | \(0.0117172\pi\) |
−0.626604 | + | 0.779338i | \(0.715556\pi\) | |||||||
\(360\) | 3.05828 | − | 11.9434i | 0.161186 | − | 0.629470i | ||||
\(361\) | −17.7856 | − | 5.22232i | −0.936084 | − | 0.274859i | ||||
\(362\) | 9.57094 | − | 12.4664i | 0.503037 | − | 0.655218i | ||||
\(363\) | −8.93553 | − | 4.08072i | −0.468994 | − | 0.214182i | ||||
\(364\) | 0.226252 | − | 1.34120i | 0.0118588 | − | 0.0702982i | ||||
\(365\) | 36.5873 | − | 56.9309i | 1.91506 | − | 2.97990i | ||||
\(366\) | 8.01409 | + | 0.671219i | 0.418903 | + | 0.0350852i | ||||
\(367\) | −13.5420 | −0.706887 | −0.353443 | − | 0.935456i | \(-0.614989\pi\) | ||||
−0.353443 | + | 0.935456i | \(0.614989\pi\) | |||||||
\(368\) | 8.59662 | + | 17.1493i | 0.448130 | + | 0.893968i | ||||
\(369\) | −7.35449 | −0.382859 | ||||||||
\(370\) | −20.3492 | − | 1.70435i | −1.05791 | − | 0.0886047i | ||||
\(371\) | 1.69488 | − | 2.63729i | 0.0879938 | − | 0.136921i | ||||
\(372\) | −0.887292 | + | 5.25981i | −0.0460040 | + | 0.272708i | ||||
\(373\) | 1.97003 | + | 0.899683i | 0.102004 | + | 0.0465838i | 0.465764 | − | 0.884909i | \(-0.345780\pi\) |
−0.363759 | + | 0.931493i | \(0.618507\pi\) | |||||||
\(374\) | −5.14415 | + | 6.70038i | −0.265997 | + | 0.346468i | ||||
\(375\) | −37.6389 | − | 11.0518i | −1.94366 | − | 0.570711i | ||||
\(376\) | 7.45356 | + | 1.90860i | 0.384388 | + | 0.0984285i | ||||
\(377\) | −0.475593 | − | 1.04140i | −0.0244943 | − | 0.0536350i | ||||
\(378\) | −2.08118 | − | 1.16949i | −0.107045 | − | 0.0601519i | ||||
\(379\) | 4.10796 | + | 3.55957i | 0.211012 | + | 0.182843i | 0.753954 | − | 0.656927i | \(-0.228144\pi\) |
−0.542942 | + | 0.839770i | \(0.682690\pi\) | |||||||
\(380\) | −4.38979 | − | 3.99475i | −0.225191 | − | 0.204926i | ||||
\(381\) | 5.87342 | + | 20.0030i | 0.300904 | + | 1.02479i | ||||
\(382\) | 29.1333 | + | 11.2716i | 1.49059 | + | 0.576704i | ||||
\(383\) | 12.5459 | − | 8.06277i | 0.641066 | − | 0.411988i | −0.179326 | − | 0.983790i | \(-0.557392\pi\) |
0.820392 | + | 0.571802i | \(0.193755\pi\) | |||||||
\(384\) | −10.3548 | + | 4.55825i | −0.528417 | + | 0.232612i | ||||
\(385\) | −1.13593 | − | 7.90056i | −0.0578923 | − | 0.402650i | ||||
\(386\) | 10.2165 | + | 28.4429i | 0.520004 | + | 1.44771i | ||||
\(387\) | −0.673503 | − | 0.0968352i | −0.0342361 | − | 0.00492241i | ||||
\(388\) | 16.2165 | − | 23.9331i | 0.823269 | − | 1.21502i | ||||
\(389\) | 1.75359 | − | 1.51949i | 0.0889104 | − | 0.0770413i | −0.609272 | − | 0.792962i | \(-0.708538\pi\) |
0.698182 | + | 0.715920i | \(0.253993\pi\) | |||||||
\(390\) | 1.73460 | + | 1.77731i | 0.0878349 | + | 0.0899975i | ||||
\(391\) | −15.5382 | + | 21.3521i | −0.785801 | + | 1.07982i | ||||
\(392\) | 7.99271 | + | 8.59821i | 0.403693 | + | 0.434275i | ||||
\(393\) | −0.490180 | − | 0.565698i | −0.0247263 | − | 0.0285357i | ||||
\(394\) | −0.984380 | − | 4.80574i | −0.0495923 | − | 0.242110i | ||||
\(395\) | 61.1432 | + | 8.79106i | 3.07645 | + | 0.442326i | ||||
\(396\) | −0.948996 | + | 1.95101i | −0.0476889 | + | 0.0980420i | ||||
\(397\) | −14.1611 | + | 2.03605i | −0.710723 | + | 0.102187i | −0.488188 | − | 0.872738i | \(-0.662342\pi\) |
−0.222535 | + | 0.974925i | \(0.571433\pi\) | |||||||
\(398\) | 2.67644 | − | 1.41947i | 0.134158 | − | 0.0711518i | ||||
\(399\) | −0.966843 | + | 0.621352i | −0.0484027 | + | 0.0311065i | ||||
\(400\) | 20.7584 | + | 52.0087i | 1.03792 | + | 2.60043i | ||||
\(401\) | −20.8014 | + | 6.10785i | −1.03877 | + | 0.305012i | −0.756273 | − | 0.654256i | \(-0.772982\pi\) |
−0.282500 | + | 0.959267i | \(0.591164\pi\) | |||||||
\(402\) | −1.15906 | − | 19.5426i | −0.0578085 | − | 0.974694i | ||||
\(403\) | −0.812052 | − | 0.703647i | −0.0404512 | − | 0.0350512i | ||||
\(404\) | 3.41834 | − | 0.914037i | 0.170069 | − | 0.0454750i | ||||
\(405\) | 3.96495 | − | 1.81073i | 0.197020 | − | 0.0899760i | ||||
\(406\) | −6.61086 | − | 1.52252i | −0.328091 | − | 0.0755615i | ||||
\(407\) | 3.44798 | + | 1.01242i | 0.170910 | + | 0.0501837i | ||||
\(408\) | −12.1191 | − | 9.78177i | −0.599984 | − | 0.484270i | ||||
\(409\) | 10.9135 | − | 23.8971i | 0.539636 | − | 1.18164i | −0.421821 | − | 0.906679i | \(-0.638609\pi\) |
0.961456 | − | 0.274958i | \(-0.0886639\pi\) | |||||||
\(410\) | 36.6207 | − | 26.7253i | 1.80857 | − | 1.31987i | ||||
\(411\) | −6.84029 | + | 10.6437i | −0.337406 | + | 0.525015i | ||||
\(412\) | 13.7417 | − | 11.3341i | 0.677007 | − | 0.558392i | ||||
\(413\) | − | 14.1310i | − | 0.695343i | ||||||
\(414\) | −2.80913 | + | 6.17323i | −0.138061 | + | 0.303398i | ||||
\(415\) | 27.3176 | 1.34097 | ||||||||
\(416\) | 0.300408 | − | 2.25913i | 0.0147287 | − | 0.110763i | ||||
\(417\) | −4.12540 | − | 2.65124i | −0.202022 | − | 0.129832i | ||||
\(418\) | 0.615723 | + | 0.843703i | 0.0301160 | + | 0.0412669i | ||||
\(419\) | 22.1190 | + | 10.1014i | 1.08058 | + | 0.493486i | 0.874489 | − | 0.485046i | \(-0.161197\pi\) |
0.206095 | + | 0.978532i | \(0.433924\pi\) | |||||||
\(420\) | 14.6127 | − | 1.73946i | 0.713029 | − | 0.0848771i | ||||
\(421\) | 6.23543 | − | 21.2359i | 0.303896 | − | 1.03498i | −0.656032 | − | 0.754733i | \(-0.727767\pi\) |
0.959929 | − | 0.280244i | \(-0.0904153\pi\) | |||||||
\(422\) | −26.4662 | − | 6.09534i | −1.28835 | − | 0.296716i | ||||
\(423\) | 1.13003 | + | 2.47443i | 0.0549442 | + | 0.120311i | ||||
\(424\) | 2.68386 | − | 4.51538i | 0.130340 | − | 0.219286i | ||||
\(425\) | −50.4806 | + | 58.2577i | −2.44867 | + | 2.82592i | ||||
\(426\) | −13.9425 | + | 0.826921i | −0.675517 | + | 0.0400644i | ||||
\(427\) | 2.70445 | + | 9.21052i | 0.130878 | + | 0.445729i | ||||
\(428\) | 13.5316 | + | 31.6447i | 0.654073 | + | 1.52960i | ||||
\(429\) | −0.236279 | − | 0.367658i | −0.0114077 | − | 0.0177507i | ||||
\(430\) | 3.70551 | − | 1.96525i | 0.178696 | − | 0.0947728i | ||||
\(431\) | 3.64669 | + | 25.3633i | 0.175655 | + | 1.22171i | 0.866676 | + | 0.498872i | \(0.166252\pi\) |
−0.691021 | + | 0.722835i | \(0.742839\pi\) | |||||||
\(432\) | −3.55343 | − | 1.83660i | −0.170965 | − | 0.0883636i | ||||
\(433\) | −1.91357 | + | 13.3092i | −0.0919605 | + | 0.639600i | 0.890756 | + | 0.454482i | \(0.150176\pi\) |
−0.982716 | + | 0.185117i | \(0.940733\pi\) | |||||||
\(434\) | −6.23747 | + | 1.27765i | −0.299408 | + | 0.0613290i | ||||
\(435\) | 9.36117 | − | 8.11150i | 0.448834 | − | 0.388917i | ||||
\(436\) | 23.8527 | + | 0.580209i | 1.14234 | + | 0.0277870i | ||||
\(437\) | 1.99189 | + | 2.58723i | 0.0952852 | + | 0.123764i | ||||
\(438\) | −15.3357 | − | 15.7133i | −0.732767 | − | 0.750809i | ||||
\(439\) | 20.9669 | + | 24.1971i | 1.00069 | + | 1.15486i | 0.987923 | + | 0.154945i | \(0.0495199\pi\) |
0.0127713 | + | 0.999918i | \(0.495935\pi\) | |||||||
\(440\) | −2.36433 | − | 13.1633i | −0.112715 | − | 0.627538i | ||||
\(441\) | −0.590676 | + | 4.10824i | −0.0281274 | + | 0.195631i | ||||
\(442\) | 2.95256 | − | 1.06053i | 0.140439 | − | 0.0504443i | ||||
\(443\) | −27.0185 | + | 3.88468i | −1.28369 | + | 0.184567i | −0.750183 | − | 0.661230i | \(-0.770035\pi\) |
−0.533506 | + | 0.845796i | \(0.679126\pi\) | |||||||
\(444\) | −2.02061 | + | 6.30971i | −0.0958939 | + | 0.299446i | ||||
\(445\) | 39.9036 | + | 62.0912i | 1.89161 | + | 2.94341i | ||||
\(446\) | −11.7229 | − | 4.53554i | −0.555095 | − | 0.214764i | ||||
\(447\) | 0.764342 | − | 0.224431i | 0.0361521 | − | 0.0106152i | ||||
\(448\) | −9.53414 | − | 9.56393i | −0.450446 | − | 0.451853i | ||||
\(449\) | 18.4173 | − | 21.2547i | 0.869166 | − | 1.00307i | −0.130766 | − | 0.991413i | \(-0.541744\pi\) |
0.999932 | − | 0.0116579i | \(-0.00371092\pi\) | |||||||
\(450\) | −9.69896 | + | 17.2600i | −0.457213 | + | 0.813644i | ||||
\(451\) | −7.25708 | + | 3.31420i | −0.341723 | + | 0.156059i | ||||
\(452\) | −2.52065 | − | 4.14023i | −0.118562 | − | 0.194740i | ||||
\(453\) | 2.41707 | − | 8.23177i | 0.113564 | − | 0.386762i | ||||
\(454\) | 15.7916 | − | 20.5690i | 0.741138 | − | 0.965350i | ||||
\(455\) | −1.23144 | + | 2.69647i | −0.0577307 | + | 0.126413i | ||||
\(456\) | −1.58267 | + | 1.09704i | −0.0741151 | + | 0.0513734i | ||||
\(457\) | 13.3402 | + | 8.57323i | 0.624029 | + | 0.401039i | 0.814094 | − | 0.580733i | \(-0.197234\pi\) |
−0.190066 | + | 0.981771i | \(0.560870\pi\) | |||||||
\(458\) | 1.25710 | − | 15.0093i | 0.0587404 | − | 0.701338i | ||||
\(459\) | − | 5.50631i | − | 0.257012i | ||||||
\(460\) | −8.44507 | − | 40.9468i | −0.393753 | − | 1.90916i | ||||
\(461\) | − | 9.97482i | − | 0.464574i | −0.972647 | − | 0.232287i | \(-0.925379\pi\) | ||
0.972647 | − | 0.232287i | \(-0.0746208\pi\) | |||||||
\(462\) | −2.58063 | − | 0.216140i | −0.120062 | − | 0.0100558i | ||||
\(463\) | −7.65578 | − | 4.92007i | −0.355794 | − | 0.228655i | 0.350517 | − | 0.936556i | \(-0.386006\pi\) |
−0.706311 | + | 0.707901i | \(0.749642\pi\) | |||||||
\(464\) | −11.1592 | − | 2.16280i | −0.518053 | − | 0.100405i | ||||
\(465\) | 4.82933 | − | 10.5748i | 0.223955 | − | 0.490393i | ||||
\(466\) | −11.1986 | − | 8.59761i | −0.518765 | − | 0.398277i | ||||
\(467\) | 0.0126270 | − | 0.0430037i | 0.000584309 | − | 0.00198997i | −0.959200 | − | 0.282727i | \(-0.908761\pi\) |
0.959785 | + | 0.280737i | \(0.0905790\pi\) | |||||||
\(468\) | 0.688237 | − | 0.419012i | 0.0318138 | − | 0.0193688i | ||||
\(469\) | 21.2559 | − | 9.70725i | 0.981507 | − | 0.448239i | ||||
\(470\) | −14.6186 | − | 8.21470i | −0.674307 | − | 0.378916i | ||||
\(471\) | −13.1676 | + | 15.1962i | −0.606731 | + | 0.700204i | ||||
\(472\) | −0.826648 | − | 23.6630i | −0.0380495 | − | 1.08918i | ||||
\(473\) | −0.708221 | + | 0.207952i | −0.0325640 | + | 0.00956166i | ||||
\(474\) | 7.23167 | − | 18.6915i | 0.332161 | − | 0.858529i | ||||
\(475\) | 5.15309 | + | 8.01837i | 0.236440 | + | 0.367908i | ||||
\(476\) | 5.66956 | − | 17.7042i | 0.259864 | − | 0.811470i | ||||
\(477\) | 1.83824 | − | 0.264299i | 0.0841672 | − | 0.0121014i | ||||
\(478\) | −0.121937 | − | 0.339477i | −0.00557727 | − | 0.0155273i | ||||
\(479\) | 4.77605 | − | 33.2181i | 0.218223 | − | 1.51778i | −0.526369 | − | 0.850256i | \(-0.676447\pi\) |
0.744592 | − | 0.667519i | \(-0.232644\pi\) | |||||||
\(480\) | 24.3678 | − | 3.76762i | 1.11223 | − | 0.171968i | ||||
\(481\) | −0.873979 | − | 1.00863i | −0.0398500 | − | 0.0459894i | ||||
\(482\) | 5.26124 | − | 5.13482i | 0.239643 | − | 0.233884i | ||||
\(483\) | −8.08204 | − | 0.468366i | −0.367746 | − | 0.0213114i | ||||
\(484\) | 0.477752 | − | 19.6407i | 0.0217160 | − | 0.892758i | ||||
\(485\) | −47.6171 | + | 41.2604i | −2.16218 | + | 1.87354i | ||||
\(486\) | −0.283787 | − | 1.38545i | −0.0128728 | − | 0.0628452i | ||||
\(487\) | −2.84894 | + | 19.8148i | −0.129098 | + | 0.897896i | 0.817603 | + | 0.575782i | \(0.195302\pi\) |
−0.946701 | + | 0.322114i | \(0.895607\pi\) | |||||||
\(488\) | 5.06751 | + | 15.2652i | 0.229396 | + | 0.691022i | ||||
\(489\) | 1.45418 | + | 10.1141i | 0.0657605 | + | 0.457374i | ||||
\(490\) | −11.9877 | − | 22.6029i | −0.541547 | − | 1.02110i | ||||
\(491\) | −7.89699 | − | 12.2880i | −0.356386 | − | 0.554548i | 0.616053 | − | 0.787705i | \(-0.288731\pi\) |
−0.972439 | + | 0.233157i | \(0.925094\pi\) | |||||||
\(492\) | −5.78316 | − | 13.5244i | −0.260725 | − | 0.609726i | ||||
\(493\) | −4.40837 | − | 15.0135i | −0.198543 | − | 0.676175i | ||||
\(494\) | −0.0229664 | − | 0.387230i | −0.00103331 | − | 0.0174223i | ||||
\(495\) | 3.09646 | − | 3.57350i | 0.139175 | − | 0.160617i | ||||
\(496\) | −10.3701 | + | 2.50435i | −0.465633 | + | 0.112449i | ||||
\(497\) | −6.92557 | − | 15.1649i | −0.310654 | − | 0.680238i | ||||
\(498\) | 1.98916 | − | 8.63700i | 0.0891363 | − | 0.387033i | ||||
\(499\) | −6.64904 | + | 22.6445i | −0.297652 | + | 1.01371i | 0.665867 | + | 0.746070i | \(0.268062\pi\) |
−0.963519 | + | 0.267639i | \(0.913757\pi\) | |||||||
\(500\) | −9.27369 | − | 77.9057i | −0.414732 | − | 3.48405i | ||||
\(501\) | 5.54210 | + | 2.53099i | 0.247603 | + | 0.113076i | ||||
\(502\) | 17.5377 | − | 12.7988i | 0.782746 | − | 0.571238i | ||||
\(503\) | −7.53266 | − | 4.84095i | −0.335865 | − | 0.215847i | 0.361827 | − | 0.932245i | \(-0.382153\pi\) |
−0.697692 | + | 0.716398i | \(0.745789\pi\) | |||||||
\(504\) | 0.514075 | − | 4.74677i | 0.0228987 | − | 0.211438i | ||||
\(505\) | −7.71175 | −0.343168 | ||||||||
\(506\) | 0.00995588 | + | 7.35737i | 0.000442593 | + | 0.327075i | ||||
\(507\) | − | 12.8377i | − | 0.570142i | ||||||
\(508\) | −32.1656 | + | 26.5301i | −1.42712 | + | 1.17708i | ||||
\(509\) | 14.6086 | − | 22.7315i | 0.647516 | − | 1.00755i | −0.349975 | − | 0.936759i | \(-0.613810\pi\) |
0.997491 | − | 0.0707955i | \(-0.0225538\pi\) | |||||||
\(510\) | 20.0092 | + | 27.4179i | 0.886024 | + | 1.21409i | ||||
\(511\) | 10.8872 | − | 23.8396i | 0.481621 | − | 1.05460i | ||||
\(512\) | −16.5248 | − | 15.4574i | −0.730298 | − | 0.683128i | ||||
\(513\) | −0.653259 | − | 0.191814i | −0.0288421 | − | 0.00846880i | ||||
\(514\) | −3.61163 | + | 15.6819i | −0.159302 | + | 0.691697i | ||||
\(515\) | −35.3135 | + | 16.1272i | −1.55610 | + | 0.710647i | ||||
\(516\) | −0.351533 | − | 1.31467i | −0.0154754 | − | 0.0578752i | ||||
\(517\) | 2.23014 | + | 1.93242i | 0.0980813 | + | 0.0849879i | ||||
\(518\) | −7.89435 | + | 0.468209i | −0.346858 | + | 0.0205719i | ||||
\(519\) | 20.3287 | − | 5.96905i | 0.892331 | − | 0.262012i | ||||
\(520\) | −1.90435 | + | 4.58738i | −0.0835112 | + | 0.201170i | ||||
\(521\) | −10.7759 | + | 6.92524i | −0.472100 | + | 0.303400i | −0.754971 | − | 0.655758i | \(-0.772349\pi\) |
0.282872 | + | 0.959158i | \(0.408713\pi\) | |||||||
\(522\) | −1.88297 | − | 3.55037i | −0.0824153 | − | 0.155395i | ||||
\(523\) | 27.3872 | − | 3.93768i | 1.19756 | − | 0.172183i | 0.485457 | − | 0.874261i | \(-0.338653\pi\) |
0.712100 | + | 0.702078i | \(0.247744\pi\) | |||||||
\(524\) | 0.654829 | − | 1.34624i | 0.0286063 | − | 0.0588108i | ||||
\(525\) | −23.3915 | − | 3.36318i | −1.02089 | − | 0.146781i | ||||
\(526\) | −33.5551 | + | 6.87324i | −1.46307 | + | 0.299687i | ||||
\(527\) | −9.61706 | − | 11.0987i | −0.418926 | − | 0.483466i | ||||
\(528\) | −4.33401 | − | 0.210971i | −0.188614 | − | 0.00918135i | ||||
\(529\) | 0.621527 | + | 22.9916i | 0.0270229 | + | 0.999635i | ||||
\(530\) | −8.19284 | + | 7.99598i | −0.355874 | + | 0.347323i | ||||
\(531\) | 6.32655 | − | 5.48198i | 0.274549 | − | 0.237898i | ||||
\(532\) | −1.90289 | − | 1.28936i | −0.0825009 | − | 0.0559008i | ||||
\(533\) | 2.93280 | + | 0.421673i | 0.127034 | + | 0.0182647i | ||||
\(534\) | 22.5370 | − | 8.09508i | 0.975270 | − | 0.350308i | ||||
\(535\) | −10.6748 | − | 74.2445i | −0.461510 | − | 3.20987i | ||||
\(536\) | 35.0260 | − | 17.4986i | 1.51289 | − | 0.755825i | ||||
\(537\) | −7.43233 | + | 4.77647i | −0.320729 | + | 0.206120i | ||||
\(538\) | −5.71064 | + | 14.7602i | −0.246203 | + | 0.636355i | ||||
\(539\) | 1.26847 | + | 4.32001i | 0.0546369 | + | 0.186076i | ||||
\(540\) | 6.44763 | + | 5.86741i | 0.277462 | + | 0.252493i | ||||
\(541\) | 27.1659 | + | 23.5394i | 1.16795 | + | 1.01204i | 0.999654 | + | 0.0263017i | \(0.00837306\pi\) |
0.168300 | + | 0.985736i | \(0.446172\pi\) | |||||||
\(542\) | 12.9966 | − | 23.1283i | 0.558250 | − | 0.993446i | ||||
\(543\) | 4.61666 | + | 10.1091i | 0.198120 | + | 0.433822i | ||||
\(544\) | 8.45822 | − | 29.9780i | 0.362643 | − | 1.28530i | ||||
\(545\) | −49.8943 | − | 14.6503i | −2.13724 | − | 0.627549i | ||||
\(546\) | 0.762875 | + | 0.585690i | 0.0326480 | + | 0.0250652i | ||||
\(547\) | −17.7453 | − | 8.10401i | −0.758734 | − | 0.346502i | −0.00180436 | − | 0.999998i | \(-0.500574\pi\) |
−0.756930 | + | 0.653496i | \(0.773302\pi\) | |||||||
\(548\) | −24.9518 | − | 4.20920i | −1.06589 | − | 0.179808i | ||||
\(549\) | −3.07444 | + | 4.78392i | −0.131214 | + | 0.204173i | ||||
\(550\) | −1.79253 | + | 21.4021i | −0.0764336 | + | 0.912588i | ||||
\(551\) | −1.93475 | −0.0824229 | ||||||||
\(552\) | −13.5611 | − | 0.311508i | −0.577198 | − | 0.0132586i | ||||
\(553\) | 23.9224 | 1.01728 | ||||||||
\(554\) | 0.181489 | − | 2.16691i | 0.00771072 | − | 0.0920631i | ||||
\(555\) | 7.80656 | − | 12.1473i | 0.331370 | − | 0.515622i | ||||
\(556\) | 1.63145 | − | 9.67111i | 0.0691888 | − | 0.410146i | ||||
\(557\) | 13.2619 | + | 6.05651i | 0.561925 | + | 0.256622i | 0.676065 | − | 0.736842i | \(-0.263684\pi\) |
−0.114140 | + | 0.993465i | \(0.536411\pi\) | |||||||
\(558\) | −2.99177 | − | 2.29690i | −0.126652 | − | 0.0972355i | ||||
\(559\) | 0.263026 | + | 0.0772313i | 0.0111248 | + | 0.00326653i | ||||
\(560\) | 14.6894 | + | 25.5040i | 0.620741 | + | 1.07774i | ||||
\(561\) | −2.48134 | − | 5.43338i | −0.104762 | − | 0.229397i | ||||
\(562\) | 10.3039 | − | 18.3365i | 0.434643 | − | 0.773478i | ||||
\(563\) | −30.5195 | − | 26.4453i | −1.28625 | − | 1.11454i | −0.987061 | − | 0.160343i | \(-0.948740\pi\) |
−0.299184 | − | 0.954195i | \(-0.596715\pi\) | |||||||
\(564\) | −3.66171 | + | 4.02381i | −0.154186 | + | 0.169433i | ||||
\(565\) | 2.97625 | + | 10.1362i | 0.125212 | + | 0.426432i | ||||
\(566\) | −5.03980 | + | 13.0262i | −0.211838 | + | 0.547533i | ||||
\(567\) | 1.42008 | − | 0.912628i | 0.0596376 | − | 0.0383268i | ||||
\(568\) | −12.4843 | − | 24.9891i | −0.523828 | − | 1.04852i | ||||
\(569\) | 1.39472 | + | 9.70052i | 0.0584699 | + | 0.406667i | 0.997946 | + | 0.0640539i | \(0.0204030\pi\) |
−0.939477 | + | 0.342613i | \(0.888688\pi\) | |||||||
\(570\) | 3.94985 | − | 1.41875i | 0.165441 | − | 0.0594249i | ||||
\(571\) | 27.9260 | + | 4.01515i | 1.16867 | + | 0.168029i | 0.699203 | − | 0.714924i | \(-0.253539\pi\) |
0.469463 | + | 0.882952i | \(0.344448\pi\) | |||||||
\(572\) | 0.490300 | − | 0.723607i | 0.0205005 | − | 0.0302555i | ||||
\(573\) | −16.6933 | + | 14.4649i | −0.697374 | + | 0.604278i | ||||
\(574\) | 12.5648 | − | 12.2629i | 0.524444 | − | 0.511842i | ||||
\(575\) | −3.88433 | + | 67.0272i | −0.161988 | + | 2.79523i | ||||
\(576\) | 0.583159 | − | 7.97872i | 0.0242983 | − | 0.332447i | ||||
\(577\) | 20.9760 | + | 24.2076i | 0.873242 | + | 1.00778i | 0.999875 | + | 0.0158255i | \(0.00503761\pi\) |
−0.126633 | + | 0.991950i | \(0.540417\pi\) | |||||||
\(578\) | 18.4533 | − | 3.77988i | 0.767558 | − | 0.157222i | ||||
\(579\) | −21.1528 | − | 3.04131i | −0.879078 | − | 0.126392i | ||||
\(580\) | 22.2776 | + | 10.8361i | 0.925027 | + | 0.449945i | ||||
\(581\) | 10.4716 | − | 1.50559i | 0.434435 | − | 0.0624623i | ||||
\(582\) | 9.57801 | + | 18.0595i | 0.397021 | + | 0.748590i | ||||
\(583\) | 1.69479 | − | 1.08918i | 0.0701910 | − | 0.0451090i | ||||
\(584\) | 16.8364 | − | 40.5573i | 0.696697 | − | 1.67827i | ||||
\(585\) | −1.68495 | + | 0.494746i | −0.0696641 | + | 0.0204552i | ||||
\(586\) | 31.5697 | − | 1.87238i | 1.30413 | − | 0.0773472i | ||||
\(587\) | −25.6932 | − | 22.2633i | −1.06047 | − | 0.918903i | −0.0636016 | − | 0.997975i | \(-0.520259\pi\) |
−0.996869 | + | 0.0790725i | \(0.974804\pi\) | |||||||
\(588\) | −8.01925 | + | 2.14428i | −0.330708 | + | 0.0884287i | ||||
\(589\) | −1.65174 | + | 0.754326i | −0.0680589 | + | 0.0310814i | ||||
\(590\) | −11.5814 | + | 50.2867i | −0.476797 | + | 2.07027i | ||||
\(591\) | 3.32822 | + | 0.977253i | 0.136905 | + | 0.0401988i | ||||
\(592\) | −13.1920 | + | 1.24584i | −0.542188 | + | 0.0512038i | ||||
\(593\) | 5.01039 | − | 10.9712i | 0.205752 | − | 0.450534i | −0.778421 | − | 0.627742i | \(-0.783979\pi\) |
0.984173 | + | 0.177208i | \(0.0567065\pi\) | |||||||
\(594\) | −0.904361 | − | 1.23921i | −0.0371064 | − | 0.0508455i | ||||
\(595\) | −21.9042 | + | 34.0835i | −0.897983 | + | 1.39729i | ||||
\(596\) | 1.01375 | + | 1.22909i | 0.0415248 | + | 0.0503455i | ||||
\(597\) | 2.14222i | 0.0876754i | ||||||||
\(598\) | 1.47416 | − | 2.30068i | 0.0602829 | − | 0.0940818i | ||||
\(599\) | −33.0920 | −1.35210 | −0.676052 | − | 0.736854i | \(-0.736311\pi\) | ||||
−0.676052 | + | 0.736854i | \(0.736311\pi\) | |||||||
\(600\) | −39.3666 | − | 4.26341i | −1.60714 | − | 0.174053i | ||||
\(601\) | −13.8698 | − | 8.91358i | −0.565761 | − | 0.363593i | 0.226278 | − | 0.974063i | \(-0.427344\pi\) |
−0.792039 | + | 0.610470i | \(0.790981\pi\) | |||||||
\(602\) | 1.31211 | − | 0.957561i | 0.0534776 | − | 0.0390273i | ||||
\(603\) | 12.5920 | + | 5.75057i | 0.512786 | + | 0.234181i | ||||
\(604\) | 17.0383 | − | 2.02819i | 0.693278 | − | 0.0825260i | ||||
\(605\) | −12.0632 | + | 41.0836i | −0.490440 | + | 1.67029i | ||||
\(606\) | −0.561538 | + | 2.43822i | −0.0228109 | + | 0.0990460i | ||||
\(607\) | 5.12261 | + | 11.2170i | 0.207920 | + | 0.455282i | 0.984647 | − | 0.174555i | \(-0.0558488\pi\) |
−0.776727 | + | 0.629837i | \(0.783122\pi\) | |||||||
\(608\) | −3.26189 | − | 2.04776i | −0.132287 | − | 0.0830478i | ||||
\(609\) | 3.14134 | − | 3.62529i | 0.127293 | − | 0.146904i | ||||
\(610\) | −2.07541 | − | 34.9931i | −0.0840311 | − | 1.41683i | ||||
\(611\) | −0.308759 | − | 1.05154i | −0.0124911 | − | 0.0425406i | ||||
\(612\) | 10.1257 | − | 4.32985i | 0.409308 | − | 0.175024i | ||||
\(613\) | −3.36018 | − | 5.22854i | −0.135716 | − | 0.211179i | 0.766743 | − | 0.641955i | \(-0.221876\pi\) |
−0.902459 | + | 0.430776i | \(0.858240\pi\) | |||||||
\(614\) | 18.2891 | + | 34.4844i | 0.738089 | + | 1.39168i | ||||
\(615\) | 4.56220 | + | 31.7308i | 0.183966 | + | 1.27951i | ||||
\(616\) | −1.63180 | − | 4.91556i | −0.0657470 | − | 0.198054i | ||||
\(617\) | 0.370933 | − | 2.57990i | 0.0149332 | − | 0.103863i | −0.980992 | − | 0.194050i | \(-0.937838\pi\) |
0.995925 | + | 0.0901875i | \(0.0287466\pi\) | |||||||
\(618\) | 2.52753 | + | 12.3394i | 0.101672 | + | 0.496363i | ||||
\(619\) | 26.2655 | − | 22.7592i | 1.05570 | − | 0.914770i | 0.0591911 | − | 0.998247i | \(-0.481148\pi\) |
0.996510 | + | 0.0834767i | \(0.0266024\pi\) | |||||||
\(620\) | 23.2438 | + | 0.565396i | 0.933492 | + | 0.0227069i | ||||
\(621\) | −2.92565 | − | 3.80007i | −0.117402 | − | 0.152492i | ||||
\(622\) | −21.2720 | + | 20.7609i | −0.852929 | + | 0.832435i | ||||
\(623\) | 18.7182 | + | 21.6020i | 0.749931 | + | 0.865466i | ||||
\(624\) | 1.31172 | + | 0.936132i | 0.0525110 | + | 0.0374753i | ||||
\(625\) | −14.3725 | + | 99.9626i | −0.574898 | + | 3.99851i | ||||
\(626\) | 1.64610 | + | 4.58280i | 0.0657915 | + | 0.183166i | ||||
\(627\) | −0.731045 | + | 0.105108i | −0.0291951 | + | 0.00419763i | ||||
\(628\) | −38.2990 | − | 12.2648i | −1.52830 | − | 0.489419i | ||||
\(629\) | −9.86162 | − | 15.3450i | −0.393208 | − | 0.611844i | ||||
\(630\) | −3.75471 | + | 9.70470i | −0.149591 | + | 0.386645i | ||||
\(631\) | −9.81405 | + | 2.88166i | −0.390691 | + | 0.114717i | −0.471177 | − | 0.882038i | \(-0.656171\pi\) |
0.0804863 | + | 0.996756i | \(0.474353\pi\) | |||||||
\(632\) | 40.0589 | − | 1.39943i | 1.59346 | − | 0.0556663i | ||||
\(633\) | 12.5762 | − | 14.5137i | 0.499858 | − | 0.576867i | ||||
\(634\) | −22.0125 | − | 12.3695i | −0.874228 | − | 0.491258i | ||||
\(635\) | 82.6593 | − | 37.7492i | 3.28023 | − | 1.49803i | ||||
\(636\) | 1.93152 | + | 3.17256i | 0.0765896 | + | 0.125800i | ||||
\(637\) | 0.471096 | − | 1.60441i | 0.0186655 | − | 0.0635689i | ||||
\(638\) | −3.45795 | − | 2.65481i | −0.136902 | − | 0.105105i | ||||
\(639\) | 4.10271 | − | 8.98368i | 0.162301 | − | 0.355389i | ||||
\(640\) | 26.0899 | + | 41.8481i | 1.03129 | + | 1.65419i | ||||
\(641\) | −13.2663 | − | 8.52571i | −0.523986 | − | 0.336745i | 0.251761 | − | 0.967789i | \(-0.418990\pi\) |
−0.775747 | + | 0.631044i | \(0.782627\pi\) | |||||||
\(642\) | −24.2512 | − | 2.03115i | −0.957117 | − | 0.0801631i | ||||
\(643\) | − | 14.1904i | − | 0.559616i | −0.960056 | − | 0.279808i | \(-0.909729\pi\) | ||
0.960056 | − | 0.279808i | \(-0.0902708\pi\) | |||||||
\(644\) | −5.49398 | − | 15.2306i | −0.216493 | − | 0.600170i | ||||
\(645\) | 2.96589i | 0.116782i | ||||||||
\(646\) | 0.442497 | − | 5.28325i | 0.0174098 | − | 0.207867i | ||||
\(647\) | −21.8039 | − | 14.0125i | −0.857200 | − | 0.550889i | 0.0366127 | − | 0.999330i | \(-0.488343\pi\) |
−0.893813 | + | 0.448441i | \(0.851980\pi\) | |||||||
\(648\) | 2.32459 | − | 1.61130i | 0.0913184 | − | 0.0632980i | ||||
\(649\) | 3.77237 | − | 8.26035i | 0.148079 | − | 0.324247i | ||||
\(650\) | 4.85733 | − | 6.32679i | 0.190520 | − | 0.248157i | ||||
\(651\) | 1.26840 | − | 4.31976i | 0.0497124 | − | 0.169305i | ||||
\(652\) | −17.4556 | + | 10.6273i | −0.683613 | + | 0.416197i | ||||
\(653\) | −21.0512 | + | 9.61374i | −0.823795 | + | 0.376215i | −0.782283 | − | 0.622923i | \(-0.785945\pi\) |
−0.0415124 | + | 0.999138i | \(0.513218\pi\) | |||||||
\(654\) | −8.26507 | + | 14.7083i | −0.323190 | + | 0.575139i | ||||
\(655\) | −2.13662 | + | 2.46579i | −0.0834848 | + | 0.0963466i | ||||
\(656\) | 20.3228 | − | 21.2697i | 0.793474 | − | 0.830440i | ||||
\(657\) | 14.8967 | − | 4.37407i | 0.581177 | − | 0.170649i | ||||
\(658\) | −6.05647 | − | 2.34322i | −0.236106 | − | 0.0913484i | ||||
\(659\) | −18.0598 | − | 28.1016i | −0.703511 | − | 1.09468i | −0.990601 | − | 0.136781i | \(-0.956324\pi\) |
0.287090 | − | 0.957904i | \(-0.407312\pi\) | |||||||
\(660\) | 9.00630 | + | 2.88416i | 0.350570 | + | 0.112266i | ||||
\(661\) | −40.6088 | + | 5.83867i | −1.57950 | + | 0.227098i | −0.875541 | − | 0.483143i | \(-0.839495\pi\) |
−0.703959 | + | 0.710241i | \(0.748586\pi\) | |||||||
\(662\) | 22.3300 | − | 8.02072i | 0.867879 | − | 0.311734i | ||||
\(663\) | −0.315707 | + | 2.19579i | −0.0122610 | + | 0.0852773i | ||||
\(664\) | 17.4470 | − | 3.13374i | 0.677075 | − | 0.121613i | ||||
\(665\) | 3.28057 | + | 3.78598i | 0.127215 | + | 0.146814i | ||||
\(666\) | −3.27215 | − | 3.35271i | −0.126793 | − | 0.129915i | ||||
\(667\) | −11.0194 | − | 8.01901i | −0.426675 | − | 0.310497i | ||||
\(668\) | −0.296317 | + | 12.1818i | −0.0114648 | + | 0.471327i | ||||
\(669\) | 6.71720 | − | 5.82048i | 0.259702 | − | 0.225033i | ||||
\(670\) | −83.5971 | + | 17.1236i | −3.22964 | + | 0.661541i | ||||
\(671\) | −0.877913 | + | 6.10602i | −0.0338914 | + | 0.235720i | ||||
\(672\) | 9.13321 | − | 2.78725i | 0.352321 | − | 0.107520i | ||||
\(673\) | −2.85783 | − | 19.8766i | −0.110161 | − | 0.766188i | −0.967761 | − | 0.251870i | \(-0.918954\pi\) |
0.857600 | − | 0.514317i | \(-0.171955\pi\) | |||||||
\(674\) | 19.4164 | − | 10.2977i | 0.747893 | − | 0.396652i | ||||
\(675\) | −7.56875 | − | 11.7772i | −0.291321 | − | 0.453305i | ||||
\(676\) | 23.6076 | − | 10.0948i | 0.907985 | − | 0.388263i | ||||
\(677\) | 2.03108 | + | 6.91721i | 0.0780606 | + | 0.265850i | 0.989271 | − | 0.146091i | \(-0.0466692\pi\) |
−0.911211 | + | 0.411941i | \(0.864851\pi\) | |||||||
\(678\) | 3.42147 | − | 0.202925i | 0.131401 | − | 0.00779328i | ||||
\(679\) | −15.9789 | + | 18.4406i | −0.613214 | + | 0.707686i | ||||
\(680\) | −34.6855 | + | 58.3555i | −1.33013 | + | 2.23783i | ||||
\(681\) | 7.61728 | + | 16.6795i | 0.291895 | + | 0.639160i | ||||
\(682\) | −3.98721 | − | 0.918280i | −0.152678 | − | 0.0351628i | ||||
\(683\) | −7.10397 | + | 24.1939i | −0.271826 | + | 0.925754i | 0.704546 | + | 0.709658i | \(0.251151\pi\) |
−0.976372 | + | 0.216096i | \(0.930668\pi\) | |||||||
\(684\) | −0.160954 | − | 1.35213i | −0.00615423 | − | 0.0517000i | ||||
\(685\) | 50.1653 | + | 22.9097i | 1.91672 | + | 0.875335i | ||||
\(686\) | −15.6920 | − | 21.5021i | −0.599122 | − | 0.820955i | ||||
\(687\) | 8.95963 | + | 5.75801i | 0.341831 | + | 0.219682i | ||||
\(688\) | 2.14116 | − | 1.68023i | 0.0816311 | − | 0.0640581i | ||||
\(689\) | −0.748201 | −0.0285042 | ||||||||
\(690\) | 28.3769 | + | 8.29052i | 1.08029 | + | 0.315615i | ||||
\(691\) | − | 9.78112i | − | 0.372091i | −0.982541 | − | 0.186046i | \(-0.940433\pi\) | ||
0.982541 | − | 0.186046i | \(-0.0595672\pi\) | |||||||
\(692\) | 26.9620 | + | 32.6893i | 1.02494 | + | 1.24266i | ||||
\(693\) | 0.990006 | − | 1.54048i | 0.0376072 | − | 0.0585180i | ||||
\(694\) | 19.3994 | − | 14.1574i | 0.736392 | − | 0.537409i | ||||
\(695\) | −8.87961 | + | 19.4436i | −0.336823 | + | 0.737539i | ||||
\(696\) | 5.04821 | − | 6.25446i | 0.191352 | − | 0.237075i | ||||
\(697\) | 38.8557 | + | 11.4091i | 1.47176 | + | 0.432149i | ||||
\(698\) | 18.2446 | + | 4.20185i | 0.690568 | + | 0.159042i | ||||
\(699\) | 9.08101 | − | 4.14716i | 0.343476 | − | 0.156860i | ||||
\(700\) | −12.2091 | − | 45.6599i | −0.461460 | − | 1.72578i | ||||
\(701\) | 26.9690 | + | 23.3687i | 1.01860 | + | 0.882625i | 0.993126 | − | 0.117051i | \(-0.0373440\pi\) |
0.0254774 | + | 0.999675i | \(0.491889\pi\) | |||||||
\(702\) | 0.0337325 | + | 0.568756i | 0.00127315 | + | 0.0214663i | ||||
\(703\) | −2.16404 | + | 0.635418i | −0.0816182 | + | 0.0239653i | ||||
\(704\) | −3.02006 | − | 8.13583i | −0.113823 | − | 0.306631i | ||||
\(705\) | 9.97490 | − | 6.41048i | 0.375677 | − | 0.241433i | ||||
\(706\) | −4.40388 | + | 2.33564i | −0.165742 | + | 0.0879030i | ||||
\(707\) | −2.95613 | + | 0.425027i | −0.111177 | + | 0.0159848i | ||||
\(708\) | 15.0558 | + | 7.32335i | 0.565833 | + | 0.275228i | ||||
\(709\) | 40.8148 | + | 5.86829i | 1.53283 | + | 0.220388i | 0.856477 | − | 0.516186i | \(-0.172649\pi\) |
0.676357 | + | 0.736574i | \(0.263558\pi\) | |||||||
\(710\) | 12.2167 | + | 59.6418i | 0.458484 | + | 2.23832i | ||||
\(711\) | 9.28043 | + | 10.7102i | 0.348043 | + | 0.401663i | ||||
\(712\) | 32.6081 | + | 35.0784i | 1.22204 | + | 1.31462i | ||||
\(713\) | −12.5341 | − | 2.54974i | −0.469404 | − | 0.0954885i | ||||
\(714\) | 9.18121 | + | 9.40725i | 0.343598 | + | 0.352058i | ||||
\(715\) | −1.43968 | + | 1.24749i | −0.0538411 | + | 0.0466536i | ||||
\(716\) | −14.6280 | − | 9.91158i | −0.546673 | − | 0.370413i | ||||
\(717\) | 0.252466 | + | 0.0362991i | 0.00942850 | + | 0.00135561i | ||||
\(718\) | −8.12711 | − | 22.6262i | −0.303301 | − | 0.844401i | ||||
\(719\) | −7.28187 | − | 50.6465i | −0.271568 | − | 1.88880i | −0.432192 | − | 0.901782i | \(-0.642260\pi\) |
0.160624 | − | 0.987016i | \(-0.448650\pi\) | |||||||
\(720\) | −5.71969 | + | 16.4705i | −0.213160 | + | 0.613821i | ||||
\(721\) | −12.6478 | + | 8.12826i | −0.471029 | + | 0.302712i | ||||
\(722\) | 24.4485 | + | 9.45902i | 0.909878 | + | 0.352028i | ||||
\(723\) | 1.46456 | + | 4.98784i | 0.0544676 | + | 0.185500i | ||||
\(724\) | −14.9596 | + | 16.4389i | −0.555968 | + | 0.610947i | ||||
\(725\) | −30.0658 | − | 26.0522i | −1.11662 | − | 0.967555i | ||||
\(726\) | 12.1110 | + | 6.80557i | 0.449481 | + | 0.252578i | ||||
\(727\) | −7.25528 | − | 15.8868i | −0.269083 | − | 0.589210i | 0.726062 | − | 0.687630i | \(-0.241349\pi\) |
−0.995145 | + | 0.0984192i | \(0.968621\pi\) | |||||||
\(728\) | −0.477160 | + | 1.86343i | −0.0176847 | + | 0.0690632i | ||||
\(729\) | 0.959493 | + | 0.281733i | 0.0355368 | + | 0.0104345i | ||||
\(730\) | −58.2814 | + | 75.9130i | −2.15709 | + | 2.80967i | ||||
\(731\) | 3.40807 | + | 1.55642i | 0.126052 | + | 0.0575661i | ||||
\(732\) | −11.2149 | − | 1.89187i | −0.414514 | − | 0.0699255i | ||||
\(733\) | 5.64906 | − | 8.79010i | 0.208653 | − | 0.324670i | −0.721116 | − | 0.692814i | \(-0.756370\pi\) |
0.929769 | + | 0.368145i | \(0.120007\pi\) | |||||||
\(734\) | 19.0845 | + | 1.59841i | 0.704420 | + | 0.0589986i | ||||
\(735\) | 18.0914 | 0.667310 | ||||||||
\(736\) | −10.0908 | − | 25.1828i | −0.371953 | − | 0.928251i | ||||
\(737\) | 15.0166 | 0.553145 | ||||||||
\(738\) | 10.3645 | + | 0.868079i | 0.381524 | + | 0.0319544i | ||||
\(739\) | −24.1672 | + | 37.6049i | −0.889004 | + | 1.38332i | 0.0343677 | + | 0.999409i | \(0.489058\pi\) |
−0.923371 | + | 0.383908i | \(0.874578\pi\) | |||||||
\(740\) | 28.4766 | + | 4.80380i | 1.04682 | + | 0.176591i | ||||
\(741\) | 0.249507 | + | 0.113946i | 0.00916586 | + | 0.00418591i | ||||
\(742\) | −2.69985 | + | 3.51662i | −0.0991146 | + | 0.129099i | ||||
\(743\) | −4.79119 | − | 1.40682i | −0.175772 | − | 0.0516112i | 0.192662 | − | 0.981265i | \(-0.438288\pi\) |
−0.368434 | + | 0.929654i | \(0.620106\pi\) | |||||||
\(744\) | 1.87128 | − | 7.30781i | 0.0686044 | − | 0.267917i | ||||
\(745\) | −1.44245 | − | 3.15852i | −0.0528472 | − | 0.115719i | ||||
\(746\) | −2.67013 | − | 1.50043i | −0.0977604 | − | 0.0549348i | ||||
\(747\) | 4.73640 | + | 4.10412i | 0.173296 | + | 0.150162i | ||||
\(748\) | 8.04041 | − | 8.83552i | 0.293987 | − | 0.323058i | ||||
\(749\) | −8.18385 | − | 27.8716i | −0.299031 | − | 1.01841i | ||||
\(750\) | 51.7392 | + | 20.0177i | 1.88925 | + | 0.730943i | ||||
\(751\) | 19.5223 | − | 12.5462i | 0.712380 | − | 0.457819i | −0.133599 | − | 0.991035i | \(-0.542653\pi\) |
0.845979 | + | 0.533217i | \(0.179017\pi\) | |||||||
\(752\) | −10.2789 | − | 3.56952i | −0.374832 | − | 0.130167i | ||||
\(753\) | 2.18485 | + | 15.1959i | 0.0796202 | + | 0.553771i | ||||
\(754\) | 0.547323 | + | 1.52376i | 0.0199323 | + | 0.0554922i | ||||
\(755\) | −37.0152 | − | 5.32199i | −1.34712 | − | 0.193687i | ||||
\(756\) | 2.79493 | + | 1.89378i | 0.101651 | + | 0.0688762i | ||||
\(757\) | 37.8663 | − | 32.8114i | 1.37628 | − | 1.19255i | 0.417400 | − | 0.908723i | \(-0.362941\pi\) |
0.958875 | − | 0.283827i | \(-0.0916042\pi\) | |||||||
\(758\) | −5.36912 | − | 5.50131i | −0.195015 | − | 0.199817i | ||||
\(759\) | −4.59935 | − | 2.43134i | −0.166946 | − | 0.0882521i | ||||
\(760\) | 5.71492 | + | 6.14787i | 0.207302 | + | 0.223007i | ||||
\(761\) | −2.36090 | − | 2.72462i | −0.0855825 | − | 0.0987675i | 0.711343 | − | 0.702845i | \(-0.248087\pi\) |
−0.796926 | + | 0.604077i | \(0.793542\pi\) | |||||||
\(762\) | −5.91625 | − | 28.8831i | −0.214323 | − | 1.04632i | ||||
\(763\) | −19.9333 | − | 2.86597i | −0.721633 | − | 0.103755i | ||||
\(764\) | −39.7266 | − | 19.3235i | −1.43726 | − | 0.699100i | ||||
\(765\) | −23.7569 | + | 3.41572i | −0.858932 | + | 0.123496i | ||||
\(766\) | −18.6324 | + | 9.88185i | −0.673215 | + | 0.357046i | ||||
\(767\) | −2.83719 | + | 1.82335i | −0.102445 | + | 0.0658375i | ||||
\(768\) | 15.1309 | − | 5.20163i | 0.545988 | − | 0.187698i | ||||
\(769\) | 5.11651 | − | 1.50234i | 0.184506 | − | 0.0541758i | −0.188174 | − | 0.982136i | \(-0.560257\pi\) |
0.372680 | + | 0.927960i | \(0.378439\pi\) | |||||||
\(770\) | 0.668308 | + | 11.2682i | 0.0240841 | + | 0.406077i | ||||
\(771\) | −8.59970 | − | 7.45168i | −0.309711 | − | 0.268366i | ||||
\(772\) | −11.0406 | − | 41.2899i | −0.397360 | − | 1.48606i | ||||
\(773\) | −8.81297 | + | 4.02475i | −0.316980 | + | 0.144760i | −0.567551 | − | 0.823338i | \(-0.692109\pi\) |
0.250571 | + | 0.968098i | \(0.419382\pi\) | |||||||
\(774\) | 0.937725 | + | 0.215964i | 0.0337058 | + | 0.00776267i | ||||
\(775\) | −35.8253 | − | 10.5193i | −1.28688 | − | 0.377863i | ||||
\(776\) | −25.6785 | + | 31.8143i | −0.921805 | + | 1.14207i | ||||
\(777\) | 2.32298 | − | 5.08663i | 0.0833366 | − | 0.182482i | ||||
\(778\) | −2.65065 | + | 1.93441i | −0.0950302 | + | 0.0693518i | ||||
\(779\) | 2.70710 | − | 4.21234i | 0.0969921 | − | 0.150923i | ||||
\(780\) | −2.23475 | − | 2.70946i | −0.0800170 | − | 0.0970144i | ||||
\(781\) | − | 10.7135i | − | 0.383360i | ||||||
\(782\) | 24.4179 | − | 28.2570i | 0.873184 | − | 1.01047i | ||||
\(783\) | 2.84171 | 0.101555 | ||||||||
\(784\) | −10.2491 | − | 13.0607i | −0.366038 | − | 0.466453i | ||||
\(785\) | 73.7321 | + | 47.3847i | 2.63161 | + | 1.69123i | ||||
\(786\) | 0.624029 | + | 0.855085i | 0.0222584 | + | 0.0304999i | ||||
\(787\) | 16.7011 | + | 7.62715i | 0.595331 | + | 0.271879i | 0.690209 | − | 0.723610i | \(-0.257519\pi\) |
−0.0948777 | + | 0.995489i | \(0.530246\pi\) | |||||||
\(788\) | 0.820026 | + | 6.88882i | 0.0292122 | + | 0.245404i | ||||
\(789\) | 6.82348 | − | 23.2386i | 0.242922 | − | 0.827317i | ||||
\(790\) | −85.1302 | − | 19.6060i | −3.02880 | − | 0.697551i | ||||
\(791\) | 1.69952 | + | 3.72144i | 0.0604281 | + | 0.132319i | ||||
\(792\) | 1.56769 | − | 2.63751i | 0.0557053 | − | 0.0937197i | ||||
\(793\) | 1.50030 | − | 1.73144i | 0.0532774 | − | 0.0614854i | ||||
\(794\) | 20.1972 | − | 1.19788i | 0.716772 | − | 0.0425112i | ||||
\(795\) | −2.28063 | − | 7.76710i | −0.0808855 | − | 0.275471i | ||||
\(796\) | −3.93940 | + | 1.68453i | −0.139628 | + | 0.0597064i | ||||
\(797\) | −16.8309 | − | 26.1895i | −0.596183 | − | 0.927678i | −0.999918 | − | 0.0128024i | \(-0.995925\pi\) |
0.403735 | − | 0.914876i | \(-0.367712\pi\) | |||||||
\(798\) | 1.43589 | − | 0.761538i | 0.0508300 | − | 0.0269582i | ||||
\(799\) | −2.13167 | − | 14.8261i | −0.0754131 | − | 0.524510i | ||||
\(800\) | −23.1156 | − | 75.7450i | −0.817261 | − | 2.67799i | ||||
\(801\) | −2.40980 | + | 16.7605i | −0.0851462 | + | 0.592205i | ||||
\(802\) | 30.0360 | − | 6.15239i | 1.06061 | − | 0.217249i | ||||
\(803\) | 12.7283 | − | 11.0291i | 0.449172 | − | 0.389210i | ||||
\(804\) | −0.673251 | + | 27.6777i | −0.0237437 | + | 0.976119i | ||||
\(805\) | 2.99277 | + | 35.1604i | 0.105481 | + | 1.23924i | ||||
\(806\) | 1.06135 | + | 1.08749i | 0.0373846 | + | 0.0383050i | ||||
\(807\) | −7.32850 | − | 8.45754i | −0.257975 | − | 0.297719i | ||||
\(808\) | −4.92528 | + | 0.884653i | −0.173271 | + | 0.0311220i | ||||
\(809\) | 0.972662 | − | 6.76501i | 0.0341970 | − | 0.237845i | −0.965553 | − | 0.260207i | \(-0.916209\pi\) |
0.999750 | + | 0.0223613i | \(0.00711843\pi\) | |||||||
\(810\) | −5.80145 | + | 2.08383i | −0.203842 | + | 0.0732183i | ||||
\(811\) | −11.1279 | + | 1.59995i | −0.390753 | + | 0.0561818i | −0.334892 | − | 0.942257i | \(-0.608700\pi\) |
−0.0558617 | + | 0.998439i | \(0.517791\pi\) | |||||||
\(812\) | 9.13683 | + | 2.92596i | 0.320640 | + | 0.102681i | ||||
\(813\) | 10.1421 | + | 15.7814i | 0.355699 | + | 0.553478i | ||||
\(814\) | −4.73966 | − | 1.83376i | −0.166125 | − | 0.0642732i | ||||
\(815\) | 42.7349 | − | 12.5481i | 1.49694 | − | 0.439541i | ||||
\(816\) | 15.9246 | + | 15.2157i | 0.557472 | + | 0.532656i | ||||
\(817\) | 0.303372 | − | 0.350110i | 0.0106136 | − | 0.0122488i | ||||
\(818\) | −18.2008 | + | 32.3896i | −0.636375 | + | 1.13247i | ||||
\(819\) | −0.618620 | + | 0.282514i | −0.0216163 | + | 0.00987185i | ||||
\(820\) | −54.7633 | + | 33.3409i | −1.91242 | + | 1.16432i | ||||
\(821\) | −9.92174 | + | 33.7903i | −0.346271 | + | 1.17929i | 0.583796 | + | 0.811901i | \(0.301567\pi\) |
−0.930067 | + | 0.367391i | \(0.880251\pi\) | |||||||
\(822\) | 10.8962 | − | 14.1926i | 0.380048 | − | 0.495022i | ||||
\(823\) | −19.2838 | + | 42.2256i | −0.672191 | + | 1.47189i | 0.198520 | + | 0.980097i | \(0.436387\pi\) |
−0.870711 | + | 0.491796i | \(0.836341\pi\) | |||||||
\(824\) | −20.7038 | + | 14.3510i | −0.721250 | + | 0.499939i | ||||
\(825\) | −12.7757 | − | 8.21047i | −0.444794 | − | 0.285852i | ||||
\(826\) | −1.66794 | + | 19.9146i | −0.0580351 | + | 0.692917i | ||||
\(827\) | − | 0.748691i | − | 0.0260345i | −0.999915 | − | 0.0130173i | \(-0.995856\pi\) | ||
0.999915 | − | 0.0130173i | \(-0.00414364\pi\) | |||||||
\(828\) | 4.68750 | − | 8.36823i | 0.162902 | − | 0.290816i | ||||
\(829\) | 24.6091i | 0.854711i | 0.904084 | + | 0.427355i | \(0.140555\pi\) | ||||
−0.904084 | + | 0.427355i | \(0.859445\pi\) | |||||||
\(830\) | −38.4981 | − | 3.22440i | −1.33629 | − | 0.111921i | ||||
\(831\) | 1.29351 | + | 0.831289i | 0.0448714 | + | 0.0288371i | ||||
\(832\) | −0.690014 | + | 3.14829i | −0.0239219 | + | 0.109147i | ||||
\(833\) | 9.49384 | − | 20.7886i | 0.328942 | − | 0.720283i | ||||
\(834\) | 5.50091 | + | 4.22327i | 0.190481 | + | 0.146240i | ||||
\(835\) | 7.48200 | − | 25.4814i | 0.258925 | − | 0.881819i | ||||
\(836\) | −0.768141 | − | 1.26169i | −0.0265667 | − | 0.0436364i | ||||
\(837\) | 2.42604 | − | 1.10794i | 0.0838563 | − | 0.0382959i | ||||
\(838\) | −29.9795 | − | 16.8465i | −1.03563 | − | 0.581953i | ||||
\(839\) | 30.4203 | − | 35.1069i | 1.05023 | − | 1.21203i | 0.0735538 | − | 0.997291i | \(-0.476566\pi\) |
0.976672 | − | 0.214734i | \(-0.0688886\pi\) | |||||||
\(840\) | −20.7988 | + | 0.726589i | −0.717625 | + | 0.0250697i | ||||
\(841\) | −20.0771 | + | 5.89516i | −0.692313 | + | 0.203281i | ||||
\(842\) | −11.2940 | + | 29.1914i | −0.389218 | + | 1.00600i | ||||
\(843\) | 8.04081 | + | 12.5117i | 0.276940 | + | 0.430928i | ||||
\(844\) | 36.5788 | + | 11.7139i | 1.25909 | + | 0.403210i | ||||
\(845\) | −55.3880 | + | 7.96360i | −1.90541 | + | 0.273956i | ||||
\(846\) | −1.30047 | − | 3.62055i | −0.0447110 | − | 0.124477i | ||||
\(847\) | −2.35988 | + | 16.4133i | −0.0810865 | + | 0.563969i | ||||
\(848\) | −4.31528 | + | 6.04665i | −0.148187 | + | 0.207643i | ||||
\(849\) | −6.46760 | − | 7.46400i | −0.221967 | − | 0.256164i | ||||
\(850\) | 78.0177 | − | 76.1430i | 2.67598 | − | 2.61168i | ||||
\(851\) | −14.9590 | − | 5.35030i | −0.512788 | − | 0.183406i | ||||
\(852\) | 19.7465 | + | 0.480326i | 0.676504 | + | 0.0164557i | ||||
\(853\) | 24.2571 | − | 21.0189i | 0.830546 | − | 0.719672i | −0.131866 | − | 0.991268i | \(-0.542097\pi\) |
0.962411 | + | 0.271596i | \(0.0875513\pi\) | |||||||
\(854\) | −2.72418 | − | 13.2994i | −0.0932194 | − | 0.455097i | ||||
\(855\) | −0.422344 | + | 2.93746i | −0.0144438 | + | 0.100459i | ||||
\(856\) | −15.3346 | − | 46.1934i | −0.524127 | − | 1.57886i | ||||
\(857\) | −2.59856 | − | 18.0734i | −0.0887650 | − | 0.617374i | −0.984839 | − | 0.173470i | \(-0.944502\pi\) |
0.896074 | − | 0.443904i | \(-0.146407\pi\) | |||||||
\(858\) | 0.289587 | + | 0.546022i | 0.00988635 | + | 0.0186409i | ||||
\(859\) | 21.1802 | + | 32.9570i | 0.722659 | + | 1.12448i | 0.987104 | + | 0.160079i | \(0.0511747\pi\) |
−0.264445 | + | 0.964401i | \(0.585189\pi\) | |||||||
\(860\) | −5.45406 | + | 2.33221i | −0.185982 | + | 0.0795278i | ||||
\(861\) | 3.49764 | + | 11.9119i | 0.119199 | + | 0.405955i | ||||
\(862\) | −2.14548 | − | 36.1744i | −0.0730753 | − | 1.23211i | ||||
\(863\) | 13.5198 | − | 15.6027i | 0.460221 | − | 0.531123i | −0.477445 | − | 0.878662i | \(-0.658437\pi\) |
0.937666 | + | 0.347538i | \(0.112982\pi\) | |||||||
\(864\) | 4.79100 | + | 3.00771i | 0.162993 | + | 0.102324i | ||||
\(865\) | −38.3638 | − | 84.0051i | −1.30441 | − | 2.85626i | ||||
\(866\) | 4.26770 | − | 18.5305i | 0.145022 | − | 0.629693i | ||||
\(867\) | −3.75251 | + | 12.7799i | −0.127442 | + | 0.434027i | ||||
\(868\) | 8.94114 | − | 1.06433i | 0.303482 | − | 0.0361257i | ||||
\(869\) | 13.9839 | + | 6.38624i | 0.474372 | + | 0.216638i | ||||
\(870\) | −14.1499 | + | 10.3264i | −0.479728 | + | 0.350099i | ||||
\(871\) | −4.69169 | − | 3.01516i | −0.158972 | − | 0.102165i | ||||
\(872\) | −33.5467 | − | 3.63311i | −1.13603 | − | 0.123033i | ||||
\(873\) | −14.4548 | −0.489221 | ||||||||
\(874\) | −2.50175 | − | 3.88125i | −0.0846231 | − | 0.131285i | ||||
\(875\) | 66.2186i | 2.23860i | ||||||||
\(876\) | 19.7576 | + | 23.9545i | 0.667546 | + | 0.809348i | ||||
\(877\) | 20.5264 | − | 31.9398i | 0.693129 | − | 1.07853i | −0.299114 | − | 0.954217i | \(-0.596691\pi\) |
0.992243 | − | 0.124312i | \(-0.0396725\pi\) | |||||||
\(878\) | −26.6921 | − | 36.5752i | −0.900815 | − | 1.23435i | ||||
\(879\) | −9.28967 | + | 20.3415i | −0.313333 | + | 0.686103i | ||||
\(880\) | 1.77828 | + | 18.8299i | 0.0599458 | + | 0.634755i | ||||
\(881\) | −25.7581 | − | 7.56327i | −0.867813 | − | 0.254813i | −0.182628 | − | 0.983182i | \(-0.558460\pi\) |
−0.685185 | + | 0.728369i | \(0.740279\pi\) | |||||||
\(882\) | 1.31734 | − | 5.71994i | 0.0443571 | − | 0.192600i | ||||
\(883\) | −5.00750 | + | 2.28685i | −0.168516 | + | 0.0769586i | −0.497887 | − | 0.867242i | \(-0.665891\pi\) |
0.329371 | + | 0.944201i | \(0.393163\pi\) | |||||||
\(884\) | −4.28615 | + | 1.14608i | −0.144159 | + | 0.0385470i | ||||
\(885\) | −27.5765 | − | 23.8952i | −0.926973 | − | 0.803227i | ||||
\(886\) | 38.5352 | − | 2.28549i | 1.29461 | − | 0.0767827i | ||||
\(887\) | −32.7562 | + | 9.61809i | −1.09985 | + | 0.322944i | −0.780791 | − | 0.624792i | \(-0.785184\pi\) |
−0.319055 | + | 0.947736i | \(0.603365\pi\) | |||||||
\(888\) | 3.59236 | − | 8.65364i | 0.120552 | − | 0.290397i | ||||
\(889\) | 29.6050 | − | 19.0260i | 0.992921 | − | 0.638112i | ||||
\(890\) | −48.9064 | − | 92.2138i | −1.63935 | − | 3.09101i | ||||
\(891\) | 1.07374 | − | 0.154381i | 0.0359718 | − | 0.00517196i | ||||
\(892\) | 15.9855 | + | 7.77555i | 0.535234 | + | 0.260345i | ||||
\(893\) | −1.83320 | − | 0.263575i | −0.0613457 | − | 0.00882019i | ||||
\(894\) | −1.10366 | + | 0.226068i | −0.0369120 | + | 0.00756084i | ||||
\(895\) | 25.2185 | + | 29.1037i | 0.842961 | + | 0.972829i | ||||
\(896\) | 12.3074 | + | 14.6036i | 0.411161 | + | 0.487872i | ||||
\(897\) | 0.948803 | + | 1.68313i | 0.0316796 | + | 0.0561979i | ||||
\(898\) | −28.4639 | + | 27.7799i | −0.949852 | + | 0.927029i | ||||
\(899\) | 5.72784 | − | 4.96320i | 0.191034 | − | 0.165532i | ||||
\(900\) | 15.7058 | − | 23.1793i | 0.523527 | − | 0.772645i | ||||
\(901\) | −10.1219 | − | 1.45531i | −0.337210 | − | 0.0484834i | ||||
\(902\) | 10.6184 | − | 3.81405i | 0.353555 | − | 0.126994i | ||||
\(903\) | 0.163463 | + | 1.13691i | 0.00543969 | + | 0.0378339i | ||||
\(904\) | 3.06362 | + | 6.13227i | 0.101894 | + | 0.203956i | ||||
\(905\) | 40.7516 | − | 26.1894i | 1.35463 | − | 0.870567i | ||||
\(906\) | −4.37795 | + | 11.3156i | −0.145448 | + | 0.375935i | ||||
\(907\) | 7.44050 | + | 25.3400i | 0.247058 | + | 0.841401i | 0.985873 | + | 0.167494i | \(0.0535674\pi\) |
−0.738815 | + | 0.673908i | \(0.764614\pi\) | |||||||
\(908\) | −24.6826 | + | 27.1235i | −0.819122 | + | 0.900124i | ||||
\(909\) | −1.33708 | − | 1.15859i | −0.0443483 | − | 0.0384280i | ||||
\(910\) | 2.05372 | − | 3.65473i | 0.0680800 | − | 0.121153i | ||||
\(911\) | 16.5216 | + | 36.1773i | 0.547386 | + | 1.19861i | 0.957992 | + | 0.286795i | \(0.0925897\pi\) |
−0.410607 | + | 0.911813i | \(0.634683\pi\) | |||||||
\(912\) | 2.35991 | − | 1.35922i | 0.0781443 | − | 0.0450084i | ||||
\(913\) | 6.52313 | + | 1.91536i | 0.215884 | + | 0.0633893i | ||||
\(914\) | −17.7881 | − | 13.6567i | −0.588379 | − | 0.451723i | ||||
\(915\) | 22.5473 | + | 10.2970i | 0.745392 | + | 0.340409i | ||||
\(916\) | −3.54321 | + | 21.0039i | −0.117071 | + | 0.693989i | ||||
\(917\) | −0.683126 | + | 1.06296i | −0.0225588 | + | 0.0351022i | ||||
\(918\) | −0.649931 | + | 7.75992i | −0.0214509 | + | 0.256116i | ||||
\(919\) | −14.4254 | −0.475849 | −0.237924 | − | 0.971284i | \(-0.576467\pi\) | ||||
−0.237924 | + | 0.971284i | \(0.576467\pi\) | |||||||
\(920\) | 7.06834 | + | 58.7023i | 0.233036 | + | 1.93536i | ||||
\(921\) | −27.6013 | −0.909495 | ||||||||
\(922\) | −1.17737 | + | 14.0573i | −0.0387745 | + | 0.462953i | ||||
\(923\) | −2.15115 | + | 3.34725i | −0.0708059 | + | 0.110176i | ||||
\(924\) | 3.61132 | + | 0.609204i | 0.118804 | + | 0.0200413i | ||||
\(925\) | −42.1852 | − | 19.2653i | −1.38704 | − | 0.633440i | ||||
\(926\) | 10.2084 | + | 7.83740i | 0.335469 | + | 0.257553i | ||||
\(927\) | −8.54565 | − | 2.50923i | −0.280676 | − | 0.0824139i | ||||
\(928\) | 15.4711 | + | 4.36515i | 0.507865 | + | 0.143293i | ||||
\(929\) | −15.4715 | − | 33.8778i | −0.507602 | − | 1.11149i | −0.973923 | − | 0.226878i | \(-0.927148\pi\) |
0.466321 | − | 0.884616i | \(-0.345579\pi\) | |||||||
\(930\) | −8.05406 | + | 14.3328i | −0.264103 | + | 0.469990i | ||||
\(931\) | −2.13560 | − | 1.85051i | −0.0699916 | − | 0.0606481i | ||||
\(932\) | 14.7671 | + | 13.4383i | 0.483714 | + | 0.440185i | ||||
\(933\) | −5.92145 | − | 20.1666i | −0.193860 | − | 0.660225i | ||||
\(934\) | −0.0228709 | + | 0.0591138i | −0.000748358 | + | 0.00193426i | ||||
\(935\) | −21.9030 | + | 14.0762i | −0.716304 | + | 0.460341i | ||||
\(936\) | −1.01938 | + | 0.509269i | −0.0333193 | + | 0.0166460i | ||||
\(937\) | 0.310454 | + | 2.15925i | 0.0101421 | + | 0.0705397i | 0.994264 | − | 0.106955i | \(-0.0341100\pi\) |
−0.984122 | + | 0.177494i | \(0.943201\pi\) | |||||||
\(938\) | −31.1013 | + | 11.1713i | −1.01549 | + | 0.364756i | ||||
\(939\) | −3.40819 | − | 0.490023i | −0.111222 | − | 0.0159913i | ||||
\(940\) | 19.6321 | + | 13.3023i | 0.640329 | + | 0.433873i | ||||
\(941\) | 19.0409 | − | 16.4990i | 0.620715 | − | 0.537853i | −0.286736 | − | 0.958010i | \(-0.592570\pi\) |
0.907452 | + | 0.420157i | \(0.138025\pi\) | |||||||
\(942\) | 20.3505 | − | 19.8615i | 0.663054 | − | 0.647122i | ||||
\(943\) | 32.8775 | − | 12.7713i | 1.07064 | − | 0.415892i | ||||
\(944\) | −1.62805 | + | 33.4453i | −0.0529886 | + | 1.08855i | ||||
\(945\) | −4.81844 | − | 5.56077i | −0.156744 | − | 0.180892i | ||||
\(946\) | 1.02263 | − | 0.209469i | 0.0332484 | − | 0.00681042i | ||||
\(947\) | −15.9552 | − | 2.29401i | −0.518474 | − | 0.0745453i | −0.121890 | − | 0.992544i | \(-0.538895\pi\) |
−0.396584 | + | 0.917998i | \(0.629804\pi\) | |||||||
\(948\) | −12.3977 | + | 25.4880i | −0.402658 | + | 0.827810i | ||||
\(949\) | −6.19126 | + | 0.890169i | −0.200977 | + | 0.0288961i | ||||
\(950\) | −6.31571 | − | 11.9084i | −0.204909 | − | 0.386358i | ||||
\(951\) | 15.0200 | − | 9.65279i | 0.487058 | − | 0.313013i | ||||
\(952\) | −10.0797 | + | 24.2809i | −0.326684 | + | 0.786950i | ||||
\(953\) | 37.2637 | − | 10.9416i | 1.20709 | − | 0.354434i | 0.384531 | − | 0.923112i | \(-0.374363\pi\) |
0.822560 | + | 0.568678i | \(0.192545\pi\) | |||||||
\(954\) | −2.62179 | + | 0.155496i | −0.0848835 | + | 0.00503438i | ||||
\(955\) | 72.7638 | + | 63.0502i | 2.35458 | + | 2.04026i | ||||
\(956\) | 0.131773 | + | 0.492810i | 0.00426186 | + | 0.0159386i | ||||
\(957\) | 2.80408 | − | 1.28058i | 0.0906429 | − | 0.0413952i | ||||
\(958\) | −10.6517 | + | 46.2499i | −0.344139 | + | 1.49427i | ||||
\(959\) | 20.4924 | + | 6.01711i | 0.661733 | + | 0.194302i | ||||
\(960\) | −34.7858 | + | 2.43340i | −1.12271 | + | 0.0785377i | ||||
\(961\) | −9.92293 | + | 21.7282i | −0.320095 | + | 0.700909i | ||||
\(962\) | 1.11263 | + | 1.52459i | 0.0358726 | + | 0.0491549i | ||||
\(963\) | 9.30345 | − | 14.4765i | 0.299800 | − | 0.466497i | ||||
\(964\) | −8.02064 | + | 6.61539i | −0.258327 | + | 0.213067i | ||||
\(965\) | 93.1499i | 2.99860i | ||||||||
\(966\) | 11.3346 | + | 1.61401i | 0.364684 | + | 0.0519300i | ||||
\(967\) | 20.0187 | 0.643758 | 0.321879 | − | 0.946781i | \(-0.395686\pi\) | ||||
0.321879 | + | 0.946781i | \(0.395686\pi\) | |||||||
\(968\) | −2.99155 | + | 27.6228i | −0.0961521 | + | 0.887830i | ||||
\(969\) | 3.15378 | + | 2.02681i | 0.101314 | + | 0.0651105i | ||||
\(970\) | 71.9759 | − | 52.5270i | 2.31101 | − | 1.68654i | ||||
\(971\) | 1.12557 | + | 0.514032i | 0.0361213 | + | 0.0164961i | 0.433394 | − | 0.901205i | \(-0.357316\pi\) |
−0.397272 | + | 0.917701i | \(0.630043\pi\) | |||||||
\(972\) | 0.236406 | + | 1.98598i | 0.00758271 | + | 0.0637003i | ||||
\(973\) | −2.33218 | + | 7.94267i | −0.0747662 | + | 0.254630i | ||||
\(974\) | 6.35378 | − | 27.5884i | 0.203588 | − | 0.883989i | ||||
\(975\) | 2.34299 | + | 5.13043i | 0.0750358 | + | 0.164305i | ||||
\(976\) | −5.33974 | − | 22.1110i | −0.170921 | − | 0.707756i | ||||
\(977\) | −24.8163 | + | 28.6396i | −0.793944 | + | 0.916261i | −0.998033 | − | 0.0626918i | \(-0.980031\pi\) |
0.204089 | + | 0.978952i | \(0.434577\pi\) | |||||||
\(978\) | −0.855548 | − | 14.4252i | −0.0273574 | − | 0.461267i | ||||
\(979\) | 5.17502 | + | 17.6245i | 0.165394 | + | 0.563281i | ||||
\(980\) | 14.2260 | + | 33.2688i | 0.454434 | + | 1.06273i | ||||
\(981\) | −6.44979 | − | 10.0361i | −0.205926 | − | 0.320427i | ||||
\(982\) | 9.67867 | + | 18.2493i | 0.308859 | + | 0.582358i | ||||
\(983\) | 3.43319 | + | 23.8784i | 0.109502 | + | 0.761602i | 0.968390 | + | 0.249440i | \(0.0802464\pi\) |
−0.858888 | + | 0.512163i | \(0.828844\pi\) | |||||||
\(984\) | 6.55375 | + | 19.7422i | 0.208926 | + | 0.629360i | ||||
\(985\) | 2.15175 | − | 14.9658i | 0.0685605 | − | 0.476849i | ||||
\(986\) | 4.44051 | + | 21.6786i | 0.141415 | + | 0.690386i | ||||
\(987\) | 3.47035 | − | 3.00707i | 0.110462 | − | 0.0957161i | ||||
\(988\) | −0.0133403 | + | 0.548426i | −0.000424411 | + | 0.0174478i | ||||
\(989\) | 3.17899 | − | 0.736672i | 0.101086 | − | 0.0234248i | ||||
\(990\) | −4.78556 | + | 4.67057i | −0.152095 | + | 0.148441i | ||||
\(991\) | 6.55866 | + | 7.56909i | 0.208343 | + | 0.240440i | 0.850298 | − | 0.526302i | \(-0.176422\pi\) |
−0.641955 | + | 0.766742i | \(0.721876\pi\) | |||||||
\(992\) | 14.9100 | − | 2.30530i | 0.473393 | − | 0.0731935i | ||||
\(993\) | −2.38767 | + | 16.6066i | −0.0757703 | + | 0.526994i | ||||
\(994\) | 7.97010 | + | 22.1890i | 0.252796 | + | 0.703793i | ||||
\(995\) | 9.24259 | − | 1.32888i | 0.293010 | − | 0.0421284i | ||||
\(996\) | −3.82274 | + | 11.9372i | −0.121128 | + | 0.378243i | ||||
\(997\) | 0.268120 | + | 0.417203i | 0.00849146 | + | 0.0132130i | 0.845473 | − | 0.534018i | \(-0.179318\pi\) |
−0.836982 | + | 0.547231i | \(0.815682\pi\) | |||||||
\(998\) | 12.0432 | − | 31.1277i | 0.381220 | − | 0.985329i | ||||
\(999\) | 3.17849 | − | 0.933289i | 0.100563 | − | 0.0295279i |
(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 | 552.2.bb.a.13.1 | ✓ | 480 | |
8.5 | even | 2 | inner | 552.2.bb.a.13.27 | yes | 480 | |
23.16 | even | 11 | inner | 552.2.bb.a.85.27 | yes | 480 | |
184.85 | even | 22 | inner | 552.2.bb.a.85.1 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bb.a.13.1 | ✓ | 480 | 1.1 | even | 1 | trivial | |
552.2.bb.a.13.27 | yes | 480 | 8.5 | even | 2 | inner | |
552.2.bb.a.85.1 | yes | 480 | 184.85 | even | 22 | inner | |
552.2.bb.a.85.27 | yes | 480 | 23.16 | even | 11 | inner |