Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(37,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 3, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.cj (of order \(24\), degree \(8\), 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: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 205.20 | ||
Character | \(\chi\) | \(=\) | 672.205 |
Dual form | 672.2.cj.a.613.20 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{8}\right)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.789926 | − | 1.17304i | −0.558562 | − | 0.829463i | ||||
\(3\) | 0.991445 | − | 0.130526i | 0.572411 | − | 0.0753593i | ||||
\(4\) | −0.752034 | + | 1.85323i | −0.376017 | + | 0.926613i | ||||
\(5\) | −0.395684 | + | 3.00552i | −0.176955 | + | 1.34411i | 0.640429 | + | 0.768017i | \(0.278756\pi\) |
−0.817385 | + | 0.576092i | \(0.804577\pi\) | |||||||
\(6\) | −0.936280 | − | 1.05990i | −0.382235 | − | 0.432701i | ||||
\(7\) | −0.490433 | + | 2.59990i | −0.185366 | + | 0.982670i | ||||
\(8\) | 2.76795 | − | 0.581746i | 0.978620 | − | 0.205678i | ||||
\(9\) | 0.965926 | − | 0.258819i | 0.321975 | − | 0.0862730i | ||||
\(10\) | 3.83815 | − | 1.90999i | 1.21373 | − | 0.603991i | ||||
\(11\) | 0.0333425 | − | 0.0434528i | 0.0100532 | − | 0.0131015i | −0.788300 | − | 0.615291i | \(-0.789038\pi\) |
0.798353 | + | 0.602190i | \(0.205705\pi\) | |||||||
\(12\) | −0.503706 | + | 1.93553i | −0.145407 | + | 0.558740i | ||||
\(13\) | −5.50496 | − | 2.28023i | −1.52680 | − | 0.632422i | −0.547862 | − | 0.836569i | \(-0.684558\pi\) |
−0.978940 | + | 0.204146i | \(0.934558\pi\) | |||||||
\(14\) | 3.43718 | − | 1.47843i | 0.918626 | − | 0.395127i | ||||
\(15\) | 3.03145i | 0.782718i | ||||||||
\(16\) | −2.86889 | − | 2.78738i | −0.717222 | − | 0.696845i | ||||
\(17\) | 1.25352 | − | 0.723718i | 0.304022 | − | 0.175527i | −0.340226 | − | 0.940344i | \(-0.610504\pi\) |
0.644248 | + | 0.764816i | \(0.277170\pi\) | |||||||
\(18\) | −1.06661 | − | 0.928619i | −0.251403 | − | 0.218878i | ||||
\(19\) | −1.72294 | + | 1.32206i | −0.395270 | + | 0.303301i | −0.787205 | − | 0.616692i | \(-0.788473\pi\) |
0.391935 | + | 0.919993i | \(0.371806\pi\) | |||||||
\(20\) | −5.27234 | − | 2.99355i | −1.17893 | − | 0.669377i | ||||
\(21\) | −0.146882 | + | 2.64167i | −0.0320523 | + | 0.576460i | ||||
\(22\) | −0.0773099 | − | 0.00478753i | −0.0164825 | − | 0.00102070i | ||||
\(23\) | −5.45895 | + | 1.46272i | −1.13827 | + | 0.304999i | −0.778255 | − | 0.627948i | \(-0.783895\pi\) |
−0.360015 | + | 0.932946i | \(0.617228\pi\) | |||||||
\(24\) | 2.66834 | − | 0.938060i | 0.544673 | − | 0.191481i | ||||
\(25\) | −4.04696 | − | 1.08438i | −0.809392 | − | 0.216876i | ||||
\(26\) | 1.67372 | + | 8.25874i | 0.328243 | + | 1.61967i | ||||
\(27\) | 0.923880 | − | 0.382683i | 0.177801 | − | 0.0736475i | ||||
\(28\) | −4.44938 | − | 2.86410i | −0.840853 | − | 0.541263i | ||||
\(29\) | −2.71583 | + | 6.55660i | −0.504317 | + | 1.21753i | 0.442794 | + | 0.896624i | \(0.353987\pi\) |
−0.947111 | + | 0.320906i | \(0.896013\pi\) | |||||||
\(30\) | 3.55601 | − | 2.39462i | 0.649236 | − | 0.437197i | ||||
\(31\) | −0.549252 | − | 0.951333i | −0.0986486 | − | 0.170864i | 0.812477 | − | 0.582993i | \(-0.198119\pi\) |
−0.911126 | + | 0.412129i | \(0.864785\pi\) | |||||||
\(32\) | −1.00349 | + | 5.56714i | −0.177394 | + | 0.984140i | ||||
\(33\) | 0.0273856 | − | 0.0474332i | 0.00476721 | − | 0.00825706i | ||||
\(34\) | −1.83913 | − | 0.898738i | −0.315409 | − | 0.154132i | ||||
\(35\) | −7.61999 | − | 2.50274i | −1.28801 | − | 0.423041i | ||||
\(36\) | −0.246759 | + | 1.98472i | −0.0411266 | + | 0.330787i | ||||
\(37\) | −0.780009 | + | 5.92476i | −0.128233 | + | 0.974024i | 0.799471 | + | 0.600705i | \(0.205113\pi\) |
−0.927703 | + | 0.373319i | \(0.878220\pi\) | |||||||
\(38\) | 2.91182 | + | 0.976746i | 0.472360 | + | 0.158449i | ||||
\(39\) | −5.75550 | − | 1.54218i | −0.921617 | − | 0.246947i | ||||
\(40\) | 0.653214 | + | 8.54933i | 0.103282 | + | 1.35177i | ||||
\(41\) | 8.10973 | + | 8.10973i | 1.26653 | + | 1.26653i | 0.947870 | + | 0.318658i | \(0.103232\pi\) |
0.318658 | + | 0.947870i | \(0.396768\pi\) | |||||||
\(42\) | 3.21481 | − | 1.91443i | 0.496055 | − | 0.295402i | ||||
\(43\) | −4.18902 | − | 10.1132i | −0.638820 | − | 1.54225i | −0.828253 | − | 0.560354i | \(-0.810665\pi\) |
0.189433 | − | 0.981894i | \(-0.439335\pi\) | |||||||
\(44\) | 0.0554532 | + | 0.0944693i | 0.00835988 | + | 0.0142418i | ||||
\(45\) | 0.395684 | + | 3.00552i | 0.0589851 | + | 0.448037i | ||||
\(46\) | 6.02800 | + | 5.24812i | 0.888780 | + | 0.773793i | ||||
\(47\) | 1.46752 | + | 0.847273i | 0.214060 | + | 0.123587i | 0.603197 | − | 0.797592i | \(-0.293893\pi\) |
−0.389137 | + | 0.921180i | \(0.627227\pi\) | |||||||
\(48\) | −3.20817 | − | 2.38907i | −0.463060 | − | 0.344832i | ||||
\(49\) | −6.51895 | − | 2.55015i | −0.931279 | − | 0.364307i | ||||
\(50\) | 1.92478 | + | 5.60381i | 0.272205 | + | 0.792499i | ||||
\(51\) | 1.14833 | − | 0.881143i | 0.160798 | − | 0.123385i | ||||
\(52\) | 8.36570 | − | 8.48713i | 1.16011 | − | 1.17695i | ||||
\(53\) | 1.28559 | − | 1.67541i | 0.176589 | − | 0.230135i | −0.696670 | − | 0.717392i | \(-0.745336\pi\) |
0.873259 | + | 0.487257i | \(0.162002\pi\) | |||||||
\(54\) | −1.17870 | − | 0.781454i | −0.160401 | − | 0.106342i | ||||
\(55\) | 0.117405 | + | 0.117405i | 0.0158309 | + | 0.0158309i | ||||
\(56\) | 0.154986 | + | 7.48171i | 0.0207109 | + | 0.999786i | ||||
\(57\) | −1.53564 | + | 1.53564i | −0.203400 | + | 0.203400i | ||||
\(58\) | 9.83644 | − | 1.99345i | 1.29159 | − | 0.261753i | ||||
\(59\) | 5.14906 | + | 3.95101i | 0.670351 | + | 0.514378i | 0.886940 | − | 0.461885i | \(-0.152827\pi\) |
−0.216589 | + | 0.976263i | \(0.569493\pi\) | |||||||
\(60\) | −5.61797 | − | 2.27976i | −0.725277 | − | 0.294316i | ||||
\(61\) | −5.91811 | − | 7.71263i | −0.757736 | − | 0.987501i | −0.999851 | − | 0.0172534i | \(-0.994508\pi\) |
0.242115 | − | 0.970248i | \(-0.422159\pi\) | |||||||
\(62\) | −0.682081 | + | 1.39578i | −0.0866243 | + | 0.177264i | ||||
\(63\) | 0.199182 | + | 2.63824i | 0.0250946 | + | 0.332387i | ||||
\(64\) | 7.32314 | − | 3.22049i | 0.915393 | − | 0.402562i | ||||
\(65\) | 9.03151 | − | 15.6430i | 1.12022 | − | 1.94028i | ||||
\(66\) | −0.0772734 | + | 0.00534440i | −0.00951170 | + | 0.000657851i | ||||
\(67\) | 4.91493 | − | 0.647063i | 0.600455 | − | 0.0790514i | 0.175830 | − | 0.984421i | \(-0.443739\pi\) |
0.424625 | + | 0.905369i | \(0.360406\pi\) | |||||||
\(68\) | 0.398525 | + | 2.86731i | 0.0483283 | + | 0.347712i | ||||
\(69\) | −5.22133 | + | 2.16275i | −0.628574 | + | 0.260364i | ||||
\(70\) | 3.08342 | + | 10.9155i | 0.368539 | + | 1.30465i | ||||
\(71\) | 5.34650 | − | 5.34650i | 0.634512 | − | 0.634512i | −0.314684 | − | 0.949196i | \(-0.601899\pi\) |
0.949196 | + | 0.314684i | \(0.101899\pi\) | |||||||
\(72\) | 2.52307 | − | 1.27832i | 0.297347 | − | 0.150652i | ||||
\(73\) | −2.99481 | + | 11.1768i | −0.350516 | + | 1.30814i | 0.535518 | + | 0.844524i | \(0.320117\pi\) |
−0.886034 | + | 0.463621i | \(0.846550\pi\) | |||||||
\(74\) | 7.56611 | − | 3.76514i | 0.879543 | − | 0.437688i | ||||
\(75\) | −4.15388 | − | 0.546868i | −0.479648 | − | 0.0631469i | ||||
\(76\) | −1.15436 | − | 4.18723i | −0.132415 | − | 0.480309i | ||||
\(77\) | 0.0966207 | + | 0.107998i | 0.0110110 | + | 0.0123075i | ||||
\(78\) | 2.73738 | + | 7.96963i | 0.309947 | + | 0.902382i | ||||
\(79\) | −1.74181 | − | 1.00564i | −0.195969 | − | 0.113143i | 0.398805 | − | 0.917036i | \(-0.369425\pi\) |
−0.594774 | + | 0.803893i | \(0.702758\pi\) | |||||||
\(80\) | 9.51270 | − | 7.51958i | 1.06355 | − | 0.840715i | ||||
\(81\) | 0.866025 | − | 0.500000i | 0.0962250 | − | 0.0555556i | ||||
\(82\) | 3.10693 | − | 15.9191i | 0.343104 | − | 1.75797i | ||||
\(83\) | 11.7531 | + | 4.86828i | 1.29007 | + | 0.534364i | 0.919006 | − | 0.394244i | \(-0.128994\pi\) |
0.371062 | + | 0.928608i | \(0.378994\pi\) | |||||||
\(84\) | −4.78515 | − | 2.25883i | −0.522103 | − | 0.246459i | ||||
\(85\) | 1.67915 | + | 4.05383i | 0.182130 | + | 0.439700i | ||||
\(86\) | −8.55414 | + | 12.9026i | −0.922417 | + | 1.39132i | ||||
\(87\) | −1.83679 | + | 6.85499i | −0.196925 | + | 0.734932i | ||||
\(88\) | 0.0670121 | − | 0.139672i | 0.00714351 | − | 0.0148891i | ||||
\(89\) | 1.57543 | + | 5.87957i | 0.166995 | + | 0.623233i | 0.997777 | + | 0.0666361i | \(0.0212267\pi\) |
−0.830782 | + | 0.556597i | \(0.812107\pi\) | |||||||
\(90\) | 3.21303 | − | 2.83829i | 0.338683 | − | 0.299182i | ||||
\(91\) | 8.62819 | − | 13.1941i | 0.904480 | − | 1.38311i | ||||
\(92\) | 1.39457 | − | 11.2167i | 0.145394 | − | 1.16942i | ||||
\(93\) | −0.668727 | − | 0.871502i | −0.0693438 | − | 0.0903706i | ||||
\(94\) | −0.165349 | − | 2.39074i | −0.0170544 | − | 0.246586i | ||||
\(95\) | −3.29174 | − | 5.70145i | −0.337725 | − | 0.584957i | ||||
\(96\) | −0.268248 | + | 5.65049i | −0.0273780 | + | 0.576701i | ||||
\(97\) | −4.49230 | −0.456124 | −0.228062 | − | 0.973647i | \(-0.573239\pi\) | ||||
−0.228062 | + | 0.973647i | \(0.573239\pi\) | |||||||
\(98\) | 2.15807 | + | 9.66141i | 0.217998 | + | 0.975949i | ||||
\(99\) | 0.0209600 | − | 0.0506019i | 0.00210656 | − | 0.00508568i | ||||
\(100\) | 5.05305 | − | 6.68443i | 0.505305 | − | 0.668443i | ||||
\(101\) | 2.99543 | + | 2.29847i | 0.298056 | + | 0.228707i | 0.746953 | − | 0.664877i | \(-0.231516\pi\) |
−0.448897 | + | 0.893584i | \(0.648183\pi\) | |||||||
\(102\) | −1.94071 | − | 0.650994i | −0.192159 | − | 0.0644581i | ||||
\(103\) | 4.12699 | + | 15.4021i | 0.406644 | + | 1.51762i | 0.801003 | + | 0.598661i | \(0.204300\pi\) |
−0.394358 | + | 0.918957i | \(0.629033\pi\) | |||||||
\(104\) | −16.5640 | − | 3.10908i | −1.62423 | − | 0.304871i | ||||
\(105\) | −7.88148 | − | 1.48672i | −0.769153 | − | 0.145089i | ||||
\(106\) | −2.98083 | − | 0.184592i | −0.289524 | − | 0.0179292i | ||||
\(107\) | −14.5895 | − | 1.92074i | −1.41042 | − | 0.185685i | −0.613463 | − | 0.789723i | \(-0.710224\pi\) |
−0.796956 | + | 0.604038i | \(0.793558\pi\) | |||||||
\(108\) | 0.0144095 | + | 1.99995i | 0.00138655 | + | 0.192445i | ||||
\(109\) | 0.548369 | + | 4.16528i | 0.0525243 | + | 0.398961i | 0.997432 | + | 0.0716238i | \(0.0228181\pi\) |
−0.944907 | + | 0.327338i | \(0.893849\pi\) | |||||||
\(110\) | 0.0449793 | − | 0.230462i | 0.00428861 | − | 0.0219737i | ||||
\(111\) | 5.97588i | 0.567205i | ||||||||
\(112\) | 8.65390 | − | 6.09180i | 0.817717 | − | 0.575621i | ||||
\(113\) | 17.9157i | 1.68537i | 0.538407 | + | 0.842685i | \(0.319026\pi\) | ||||
−0.538407 | + | 0.842685i | \(0.680974\pi\) | |||||||
\(114\) | 3.01440 | + | 0.588321i | 0.282325 | + | 0.0551013i | ||||
\(115\) | −2.23622 | − | 16.9858i | −0.208529 | − | 1.58393i | ||||
\(116\) | −10.1085 | − | 9.96384i | −0.938547 | − | 0.925119i | ||||
\(117\) | −5.90755 | − | 0.777744i | −0.546154 | − | 0.0719025i | ||||
\(118\) | 0.567311 | − | 9.16105i | 0.0522252 | − | 0.843343i | ||||
\(119\) | 1.26683 | + | 3.61395i | 0.116130 | + | 0.331290i | ||||
\(120\) | 1.76354 | + | 8.39093i | 0.160988 | + | 0.765984i | ||||
\(121\) | 2.84623 | + | 10.6223i | 0.258748 | + | 0.965662i | ||||
\(122\) | −4.37234 | + | 13.0346i | −0.395853 | + | 1.18009i | ||||
\(123\) | 9.09889 | + | 6.98182i | 0.820419 | + | 0.629530i | ||||
\(124\) | 2.17609 | − | 0.302453i | 0.195419 | − | 0.0271611i | ||||
\(125\) | −0.939997 | + | 2.26935i | −0.0840759 | + | 0.202977i | ||||
\(126\) | 2.93742 | − | 2.31766i | 0.261686 | − | 0.206474i | ||||
\(127\) | 13.1408 | 1.16605 | 0.583027 | − | 0.812453i | \(-0.301868\pi\) | ||||
0.583027 | + | 0.812453i | \(0.301868\pi\) | |||||||
\(128\) | −9.56250 | − | 6.04637i | −0.845214 | − | 0.534429i | ||||
\(129\) | −5.47322 | − | 9.47990i | −0.481890 | − | 0.834659i | ||||
\(130\) | −25.4841 | + | 1.76254i | −2.23510 | + | 0.154585i | ||||
\(131\) | 7.51840 | + | 9.79817i | 0.656886 | + | 0.856070i | 0.996422 | − | 0.0845230i | \(-0.0269366\pi\) |
−0.339536 | + | 0.940593i | \(0.610270\pi\) | |||||||
\(132\) | 0.0673095 | + | 0.0864230i | 0.00585854 | + | 0.00752215i | ||||
\(133\) | −2.59224 | − | 5.12786i | −0.224775 | − | 0.444641i | ||||
\(134\) | −4.64146 | − | 5.25427i | −0.400961 | − | 0.453900i | ||||
\(135\) | 0.784598 | + | 2.92816i | 0.0675275 | + | 0.252016i | ||||
\(136\) | 3.04866 | − | 2.73245i | 0.261420 | − | 0.234305i | ||||
\(137\) | 4.61472 | − | 17.2224i | 0.394262 | − | 1.47141i | −0.428771 | − | 0.903413i | \(-0.641053\pi\) |
0.823033 | − | 0.567993i | \(-0.192280\pi\) | |||||||
\(138\) | 6.66144 | + | 4.41641i | 0.567060 | + | 0.375949i | ||||
\(139\) | −1.35034 | − | 3.26000i | −0.114534 | − | 0.276510i | 0.856209 | − | 0.516629i | \(-0.172813\pi\) |
−0.970743 | + | 0.240119i | \(0.922813\pi\) | |||||||
\(140\) | 10.3686 | − | 12.2394i | 0.876311 | − | 1.03442i | ||||
\(141\) | 1.56556 | + | 0.648475i | 0.131844 | + | 0.0546114i | ||||
\(142\) | −10.4950 | − | 2.04831i | −0.880719 | − | 0.171890i | ||||
\(143\) | −0.282632 | + | 0.163178i | −0.0236349 | + | 0.0136456i | ||||
\(144\) | −3.49256 | − | 1.94988i | −0.291047 | − | 0.162490i | ||||
\(145\) | −18.6314 | − | 10.7568i | −1.54725 | − | 0.893306i | ||||
\(146\) | 15.4765 | − | 5.31581i | 1.28084 | − | 0.439940i | ||||
\(147\) | −6.79604 | − | 1.67744i | −0.560528 | − | 0.138353i | ||||
\(148\) | −10.3933 | − | 5.90115i | −0.854325 | − | 0.485072i | ||||
\(149\) | −1.90122 | − | 0.250300i | −0.155754 | − | 0.0205054i | 0.0522460 | − | 0.998634i | \(-0.483362\pi\) |
−0.208000 | + | 0.978129i | \(0.566695\pi\) | |||||||
\(150\) | 2.63976 | + | 5.30464i | 0.215535 | + | 0.433122i | ||||
\(151\) | 3.48383 | − | 13.0018i | 0.283510 | − | 1.05807i | −0.666412 | − | 0.745584i | \(-0.732171\pi\) |
0.949921 | − | 0.312489i | \(-0.101163\pi\) | |||||||
\(152\) | −3.99992 | + | 4.66172i | −0.324436 | + | 0.378115i | ||||
\(153\) | 1.02349 | − | 1.02349i | 0.0827444 | − | 0.0827444i | ||||
\(154\) | 0.0503624 | − | 0.198650i | 0.00405832 | − | 0.0160077i | ||||
\(155\) | 3.07658 | − | 1.27436i | 0.247117 | − | 0.102359i | ||||
\(156\) | 7.18634 | − | 9.50646i | 0.575368 | − | 0.761126i | ||||
\(157\) | 0.111712 | − | 0.0147071i | 0.00891556 | − | 0.00117376i | −0.126067 | − | 0.992022i | \(-0.540235\pi\) |
0.134983 | + | 0.990848i | \(0.456902\pi\) | |||||||
\(158\) | 0.196254 | + | 2.83759i | 0.0156131 | + | 0.225747i | ||||
\(159\) | 1.05590 | − | 1.82888i | 0.0837385 | − | 0.145039i | ||||
\(160\) | −16.3351 | − | 5.21884i | −1.29140 | − | 0.412585i | ||||
\(161\) | −1.12568 | − | 14.9101i | −0.0887161 | − | 1.17508i | ||||
\(162\) | −1.27061 | − | 0.620917i | −0.0998289 | − | 0.0487839i | ||||
\(163\) | −7.25210 | − | 9.45112i | −0.568028 | − | 0.740269i | 0.417705 | − | 0.908583i | \(-0.362834\pi\) |
−0.985733 | + | 0.168314i | \(0.946168\pi\) | |||||||
\(164\) | −21.1280 | + | 8.93037i | −1.64982 | + | 0.697344i | ||||
\(165\) | 0.131725 | + | 0.101076i | 0.0102548 | + | 0.00786879i | ||||
\(166\) | −3.57338 | − | 17.6324i | −0.277348 | − | 1.36854i | ||||
\(167\) | 13.4030 | − | 13.4030i | 1.03715 | − | 1.03715i | 0.0378722 | − | 0.999283i | \(-0.487942\pi\) |
0.999283 | − | 0.0378722i | \(-0.0120580\pi\) | |||||||
\(168\) | 1.13022 | + | 7.39747i | 0.0871983 | + | 0.570727i | ||||
\(169\) | 15.9128 | + | 15.9128i | 1.22406 | + | 1.22406i | ||||
\(170\) | 3.42889 | − | 5.17194i | 0.262984 | − | 0.396669i | ||||
\(171\) | −1.32206 | + | 1.72294i | −0.101100 | + | 0.131757i | ||||
\(172\) | 21.8923 | − | 0.157733i | 1.66927 | − | 0.0120270i | ||||
\(173\) | −0.881660 | + | 0.676521i | −0.0670313 | + | 0.0514350i | −0.641734 | − | 0.766928i | \(-0.721785\pi\) |
0.574702 | + | 0.818363i | \(0.305118\pi\) | |||||||
\(174\) | 9.49209 | − | 3.26031i | 0.719594 | − | 0.247164i | ||||
\(175\) | 4.80404 | − | 9.98987i | 0.363151 | − | 0.755163i | ||||
\(176\) | −0.216776 | + | 0.0317231i | −0.0163401 | + | 0.00239122i | ||||
\(177\) | 5.62072 | + | 3.24512i | 0.422479 | + | 0.243918i | ||||
\(178\) | 5.65249 | − | 6.49246i | 0.423672 | − | 0.486630i | ||||
\(179\) | −1.66881 | − | 12.6759i | −0.124733 | − | 0.947440i | −0.933316 | − | 0.359057i | \(-0.883098\pi\) |
0.808583 | − | 0.588382i | \(-0.200235\pi\) | |||||||
\(180\) | −5.86747 | − | 1.52696i | −0.437336 | − | 0.113813i | ||||
\(181\) | 6.94050 | + | 16.7558i | 0.515883 | + | 1.24545i | 0.940412 | + | 0.340037i | \(0.110440\pi\) |
−0.424529 | + | 0.905414i | \(0.639560\pi\) | |||||||
\(182\) | −22.2927 | + | 0.301138i | −1.65245 | + | 0.0223219i | ||||
\(183\) | −6.87418 | − | 6.87418i | −0.508154 | − | 0.508154i | ||||
\(184\) | −14.2592 | + | 7.22447i | −1.05120 | + | 0.532595i | ||||
\(185\) | −17.4983 | − | 4.68867i | −1.28650 | − | 0.344718i | ||||
\(186\) | −0.494060 | + | 1.47286i | −0.0362262 | + | 0.107996i | ||||
\(187\) | 0.0103478 | − | 0.0785995i | 0.000756707 | − | 0.00574776i | ||||
\(188\) | −2.67381 | + | 2.08247i | −0.195008 | + | 0.151880i | ||||
\(189\) | 0.541838 | + | 2.58967i | 0.0394129 | + | 0.188371i | ||||
\(190\) | −4.08779 | + | 8.36506i | −0.296560 | + | 0.606865i | ||||
\(191\) | 5.98998 | − | 10.3749i | 0.433419 | − | 0.750704i | −0.563746 | − | 0.825948i | \(-0.690640\pi\) |
0.997165 | + | 0.0752439i | \(0.0239735\pi\) | |||||||
\(192\) | 6.84013 | − | 4.14880i | 0.493644 | − | 0.299414i | ||||
\(193\) | −5.46018 | − | 9.45730i | −0.393032 | − | 0.680752i | 0.599816 | − | 0.800138i | \(-0.295241\pi\) |
−0.992848 | + | 0.119387i | \(0.961907\pi\) | |||||||
\(194\) | 3.54858 | + | 5.26964i | 0.254773 | + | 0.378338i | ||||
\(195\) | 6.91242 | − | 16.6881i | 0.495009 | − | 1.19506i | ||||
\(196\) | 9.62848 | − | 10.1633i | 0.687749 | − | 0.725949i | ||||
\(197\) | −6.30762 | + | 2.61270i | −0.449399 | + | 0.186147i | −0.595892 | − | 0.803064i | \(-0.703201\pi\) |
0.146493 | + | 0.989212i | \(0.453201\pi\) | |||||||
\(198\) | −0.0759148 | + | 0.0153849i | −0.00539503 | + | 0.00109336i | ||||
\(199\) | 19.6773 | + | 5.27252i | 1.39489 | + | 0.373759i | 0.876506 | − | 0.481390i | \(-0.159868\pi\) |
0.518382 | + | 0.855149i | \(0.326535\pi\) | |||||||
\(200\) | −11.8326 | − | 0.647210i | −0.836693 | − | 0.0457647i | ||||
\(201\) | 4.78843 | − | 1.28306i | 0.337750 | − | 0.0904997i | ||||
\(202\) | 0.330029 | − | 5.32937i | 0.0232208 | − | 0.374973i | ||||
\(203\) | −15.7146 | − | 10.2765i | −1.10295 | − | 0.721266i | ||||
\(204\) | 0.769375 | + | 2.79076i | 0.0538670 | + | 0.195392i | ||||
\(205\) | −27.5829 | + | 21.1651i | −1.92647 | + | 1.47823i | ||||
\(206\) | 14.8073 | − | 17.0077i | 1.03167 | − | 1.18498i | ||||
\(207\) | −4.89436 | + | 2.82576i | −0.340182 | + | 0.196404i | ||||
\(208\) | 9.43726 | + | 21.8861i | 0.654357 | + | 1.51753i | ||||
\(209\) | 0.118948i | 0.00822777i | ||||||||
\(210\) | 4.48180 | + | 10.4197i | 0.309274 | + | 0.719026i | ||||
\(211\) | −8.13565 | − | 3.36990i | −0.560082 | − | 0.231993i | 0.0846390 | − | 0.996412i | \(-0.473026\pi\) |
−0.644721 | + | 0.764418i | \(0.723026\pi\) | |||||||
\(212\) | 2.13810 | + | 3.64244i | 0.146846 | + | 0.250164i | ||||
\(213\) | 4.60290 | − | 5.99861i | 0.315385 | − | 0.411018i | ||||
\(214\) | 9.27151 | + | 18.6313i | 0.633787 | + | 1.27361i | ||||
\(215\) | 32.0529 | − | 8.58856i | 2.18599 | − | 0.585735i | ||||
\(216\) | 2.33463 | − | 1.59671i | 0.158852 | − | 0.108643i | ||||
\(217\) | 2.74274 | − | 0.961436i | 0.186189 | − | 0.0652665i | ||||
\(218\) | 4.45286 | − | 3.93352i | 0.301586 | − | 0.266412i | ||||
\(219\) | −1.51033 | + | 11.4721i | −0.102058 | + | 0.775211i | ||||
\(220\) | −0.305871 | + | 0.129286i | −0.0206218 | + | 0.00871644i | ||||
\(221\) | −8.55081 | + | 1.12574i | −0.575190 | + | 0.0757252i | ||||
\(222\) | 7.00993 | − | 4.72050i | 0.470476 | − | 0.316819i | ||||
\(223\) | −1.40474 | −0.0940686 | −0.0470343 | − | 0.998893i | \(-0.514977\pi\) | ||||
−0.0470343 | + | 0.998893i | \(0.514977\pi\) | |||||||
\(224\) | −13.9818 | − | 5.33928i | −0.934202 | − | 0.356746i | ||||
\(225\) | −4.18972 | −0.279315 | ||||||||
\(226\) | 21.0158 | − | 14.1521i | 1.39795 | − | 0.941383i | ||||
\(227\) | −27.9591 | + | 3.68089i | −1.85571 | + | 0.244309i | −0.973849 | − | 0.227197i | \(-0.927044\pi\) |
−0.881863 | + | 0.471506i | \(0.843711\pi\) | |||||||
\(228\) | −1.69103 | − | 4.00074i | −0.111991 | − | 0.264955i | ||||
\(229\) | −3.54030 | + | 26.8913i | −0.233950 | + | 1.77703i | 0.322920 | + | 0.946426i | \(0.395335\pi\) |
−0.556870 | + | 0.830600i | \(0.687998\pi\) | |||||||
\(230\) | −18.1585 | + | 16.0407i | −1.19734 | + | 1.05769i | ||||
\(231\) | 0.109891 | + | 0.0944625i | 0.00723028 | + | 0.00621517i | ||||
\(232\) | −3.70302 | + | 19.7283i | −0.243115 | + | 1.29523i | ||||
\(233\) | −13.3715 | + | 3.58288i | −0.875997 | + | 0.234723i | −0.668679 | − | 0.743551i | \(-0.733140\pi\) |
−0.207317 | + | 0.978274i | \(0.566473\pi\) | |||||||
\(234\) | 3.75421 | + | 7.54414i | 0.245420 | + | 0.493176i | ||||
\(235\) | −3.12717 | + | 4.07541i | −0.203994 | + | 0.265850i | ||||
\(236\) | −11.1944 | + | 6.57107i | −0.728693 | + | 0.427740i | ||||
\(237\) | −1.85817 | − | 0.769681i | −0.120701 | − | 0.0499961i | ||||
\(238\) | 3.23860 | − | 4.34079i | 0.209927 | − | 0.281372i | ||||
\(239\) | 6.32412i | 0.409074i | 0.978859 | + | 0.204537i | \(0.0655688\pi\) | ||||
−0.978859 | + | 0.204537i | \(0.934431\pi\) | |||||||
\(240\) | 8.44981 | − | 8.69691i | 0.545433 | − | 0.561383i | ||||
\(241\) | 21.5309 | − | 12.4309i | 1.38693 | − | 0.800742i | 0.393958 | − | 0.919128i | \(-0.371105\pi\) |
0.992968 | + | 0.118386i | \(0.0377721\pi\) | |||||||
\(242\) | 10.2120 | − | 11.7296i | 0.656454 | − | 0.754004i | ||||
\(243\) | 0.793353 | − | 0.608761i | 0.0508936 | − | 0.0390521i | ||||
\(244\) | 18.7439 | − | 5.16743i | 1.19995 | − | 0.330811i | ||||
\(245\) | 10.2440 | − | 18.5838i | 0.654464 | − | 1.18727i | ||||
\(246\) | 1.00249 | − | 16.1885i | 0.0639166 | − | 1.03214i | ||||
\(247\) | 12.4993 | − | 3.34919i | 0.795314 | − | 0.213104i | ||||
\(248\) | −2.07374 | − | 2.31372i | −0.131683 | − | 0.146921i | ||||
\(249\) | 12.2880 | + | 3.29255i | 0.778718 | + | 0.208657i | ||||
\(250\) | 3.40457 | − | 0.689969i | 0.215324 | − | 0.0436375i | ||||
\(251\) | 10.6021 | − | 4.39155i | 0.669201 | − | 0.277192i | −0.0221037 | − | 0.999756i | \(-0.507036\pi\) |
0.691304 | + | 0.722564i | \(0.257036\pi\) | |||||||
\(252\) | −5.03905 | − | 1.61492i | −0.317430 | − | 0.101730i | ||||
\(253\) | −0.118456 | + | 0.285978i | −0.00744726 | + | 0.0179793i | ||||
\(254\) | −10.3802 | − | 15.4146i | −0.651313 | − | 0.967199i | ||||
\(255\) | 2.19392 | + | 3.79998i | 0.137389 | + | 0.237964i | ||||
\(256\) | 0.461044 | + | 15.9934i | 0.0288153 | + | 0.999585i | ||||
\(257\) | 5.59207 | − | 9.68574i | 0.348823 | − | 0.604180i | −0.637217 | − | 0.770684i | \(-0.719915\pi\) |
0.986041 | + | 0.166504i | \(0.0532479\pi\) | |||||||
\(258\) | −6.79684 | + | 13.9087i | −0.423153 | + | 0.865919i | ||||
\(259\) | −15.0212 | − | 4.93364i | −0.933374 | − | 0.306561i | ||||
\(260\) | 22.1981 | + | 28.5015i | 1.37667 | + | 1.76759i | ||||
\(261\) | −0.926320 | + | 7.03610i | −0.0573378 | + | 0.435523i | ||||
\(262\) | 5.55464 | − | 16.5592i | 0.343167 | − | 1.02303i | ||||
\(263\) | 15.3843 | + | 4.12221i | 0.948636 | + | 0.254186i | 0.699783 | − | 0.714355i | \(-0.253280\pi\) |
0.248853 | + | 0.968541i | \(0.419947\pi\) | |||||||
\(264\) | 0.0482079 | − | 0.147224i | 0.00296699 | − | 0.00906103i | ||||
\(265\) | 4.52678 | + | 4.52678i | 0.278078 | + | 0.278078i | ||||
\(266\) | −3.96749 | + | 7.09141i | −0.243263 | + | 0.434803i | ||||
\(267\) | 2.32939 | + | 5.62364i | 0.142556 | + | 0.344161i | ||||
\(268\) | −2.49705 | + | 9.59509i | −0.152531 | + | 0.586114i | ||||
\(269\) | 0.925429 | + | 7.02933i | 0.0564244 | + | 0.428586i | 0.996221 | + | 0.0868521i | \(0.0276808\pi\) |
−0.939797 | + | 0.341734i | \(0.888986\pi\) | |||||||
\(270\) | 2.81507 | − | 3.23339i | 0.171320 | − | 0.196778i | ||||
\(271\) | −4.37607 | − | 2.52653i | −0.265827 | − | 0.153475i | 0.361163 | − | 0.932503i | \(-0.382380\pi\) |
−0.626990 | + | 0.779027i | \(0.715713\pi\) | |||||||
\(272\) | −5.61348 | − | 1.41776i | −0.340367 | − | 0.0859642i | ||||
\(273\) | 6.83220 | − | 14.2074i | 0.413504 | − | 0.859870i | ||||
\(274\) | −23.8478 | + | 8.19115i | −1.44070 | + | 0.494846i | ||||
\(275\) | −0.182055 | + | 0.139696i | −0.0109783 | + | 0.00842398i | ||||
\(276\) | −0.0814356 | − | 11.3028i | −0.00490185 | − | 0.680346i | ||||
\(277\) | 16.5429 | − | 21.5592i | 0.993969 | − | 1.29537i | 0.0388175 | − | 0.999246i | \(-0.487641\pi\) |
0.955151 | − | 0.296119i | \(-0.0956924\pi\) | |||||||
\(278\) | −2.75744 | + | 4.15916i | −0.165380 | + | 0.249450i | ||||
\(279\) | −0.776760 | − | 0.776760i | −0.0465034 | − | 0.0465034i | ||||
\(280\) | −22.5478 | − | 2.49458i | −1.34749 | − | 0.149080i | ||||
\(281\) | 4.31001 | − | 4.31001i | 0.257114 | − | 0.257114i | −0.566765 | − | 0.823879i | \(-0.691805\pi\) |
0.823879 | + | 0.566765i | \(0.191805\pi\) | |||||||
\(282\) | −0.475988 | − | 2.34870i | −0.0283447 | − | 0.139863i | ||||
\(283\) | 4.22479 | + | 3.24180i | 0.251138 | + | 0.192705i | 0.726657 | − | 0.687001i | \(-0.241073\pi\) |
−0.475519 | + | 0.879705i | \(0.657740\pi\) | |||||||
\(284\) | 5.88751 | + | 13.9290i | 0.349360 | + | 0.826535i | ||||
\(285\) | −4.00776 | − | 5.22302i | −0.237399 | − | 0.309385i | ||||
\(286\) | 0.414672 | + | 0.202640i | 0.0245201 | + | 0.0119823i | ||||
\(287\) | −25.0618 | + | 17.1072i | −1.47935 | + | 1.00981i | ||||
\(288\) | 0.471584 | + | 5.63716i | 0.0277883 | + | 0.332173i | ||||
\(289\) | −7.45246 | + | 12.9080i | −0.438380 | + | 0.759297i | ||||
\(290\) | 2.09924 | + | 30.3524i | 0.123272 | + | 1.78235i | ||||
\(291\) | −4.45387 | + | 0.586363i | −0.261090 | + | 0.0343732i | ||||
\(292\) | −18.4609 | − | 13.9554i | −1.08034 | − | 0.816678i | ||||
\(293\) | 9.30347 | − | 3.85362i | 0.543515 | − | 0.225131i | −0.0939961 | − | 0.995573i | \(-0.529964\pi\) |
0.637511 | + | 0.770441i | \(0.279964\pi\) | |||||||
\(294\) | 3.40067 | + | 9.29707i | 0.198331 | + | 0.542216i | ||||
\(295\) | −13.9123 | + | 13.9123i | −0.810003 | + | 0.810003i | ||||
\(296\) | 1.28767 | + | 16.8532i | 0.0748445 | + | 0.979574i | ||||
\(297\) | 0.0141758 | − | 0.0529048i | 0.000822564 | − | 0.00306985i | ||||
\(298\) | 1.20821 | + | 2.42792i | 0.0699897 | + | 0.140646i | ||||
\(299\) | 33.3867 | + | 4.39544i | 1.93080 | + | 0.254195i | ||||
\(300\) | 4.13733 | − | 7.28680i | 0.238869 | − | 0.420704i | ||||
\(301\) | 28.3477 | − | 5.93120i | 1.63394 | − | 0.341868i | ||||
\(302\) | −18.0036 | + | 6.18381i | −1.03599 | + | 0.355838i | ||||
\(303\) | 3.26981 | + | 1.88783i | 0.187846 | + | 0.108453i | ||||
\(304\) | 8.62801 | + | 1.00965i | 0.494850 | + | 0.0579073i | ||||
\(305\) | 25.5222 | − | 14.7352i | 1.46140 | − | 0.843737i | ||||
\(306\) | −2.00908 | − | 0.392112i | −0.114851 | − | 0.0224155i | ||||
\(307\) | −1.39825 | − | 0.579174i | −0.0798023 | − | 0.0330552i | 0.342425 | − | 0.939545i | \(-0.388752\pi\) |
−0.422227 | + | 0.906490i | \(0.638752\pi\) | |||||||
\(308\) | −0.272807 | + | 0.0978419i | −0.0155446 | + | 0.00557506i | ||||
\(309\) | 6.10207 | + | 14.7317i | 0.347134 | + | 0.838057i | ||||
\(310\) | −3.92514 | − | 2.60229i | −0.222933 | − | 0.147800i | ||||
\(311\) | 2.72325 | − | 10.1633i | 0.154421 | − | 0.576309i | −0.844733 | − | 0.535188i | \(-0.820241\pi\) |
0.999154 | − | 0.0411204i | \(-0.0130927\pi\) | |||||||
\(312\) | −16.8281 | − | 0.920449i | −0.952704 | − | 0.0521102i | ||||
\(313\) | 0.845463 | + | 3.15531i | 0.0477884 | + | 0.178349i | 0.985695 | − | 0.168539i | \(-0.0539050\pi\) |
−0.937907 | + | 0.346888i | \(0.887238\pi\) | |||||||
\(314\) | −0.105496 | − | 0.119424i | −0.00595348 | − | 0.00673951i | ||||
\(315\) | −8.00811 | − | 0.445266i | −0.451206 | − | 0.0250879i | ||||
\(316\) | 3.17357 | − | 2.47170i | 0.178527 | − | 0.139044i | ||||
\(317\) | −3.43471 | − | 4.47620i | −0.192913 | − | 0.251409i | 0.686875 | − | 0.726776i | \(-0.258982\pi\) |
−0.879788 | + | 0.475367i | \(0.842315\pi\) | |||||||
\(318\) | −2.97943 | + | 0.206064i | −0.167078 | + | 0.0115555i | ||||
\(319\) | 0.194350 | + | 0.336624i | 0.0108815 | + | 0.0188473i | ||||
\(320\) | 6.78160 | + | 23.2842i | 0.379103 | + | 1.30162i | ||||
\(321\) | −14.7154 | −0.821332 | ||||||||
\(322\) | −16.6009 | + | 13.0983i | −0.925132 | + | 0.729942i | ||||
\(323\) | −1.20294 | + | 2.90415i | −0.0669332 | + | 0.161591i | ||||
\(324\) | 0.275332 | + | 1.98096i | 0.0152962 | + | 0.110053i | ||||
\(325\) | 19.8057 | + | 15.1975i | 1.09862 | + | 0.843004i | ||||
\(326\) | −5.35790 | + | 15.9727i | −0.296746 | + | 0.884644i | ||||
\(327\) | 1.08736 | + | 4.05807i | 0.0601309 | + | 0.224412i | ||||
\(328\) | 27.1652 | + | 17.7296i | 1.49995 | + | 0.978952i | ||||
\(329\) | −2.92254 | + | 3.39987i | −0.161125 | + | 0.187441i | ||||
\(330\) | 0.0145132 | − | 0.234362i | 0.000798924 | − | 0.0129012i | ||||
\(331\) | −24.4869 | − | 3.22376i | −1.34592 | − | 0.177194i | −0.577108 | − | 0.816668i | \(-0.695819\pi\) |
−0.768813 | + | 0.639474i | \(0.779152\pi\) | |||||||
\(332\) | −17.8607 | + | 18.1200i | −0.980236 | + | 0.994463i | ||||
\(333\) | 0.780009 | + | 5.92476i | 0.0427442 | + | 0.324675i | ||||
\(334\) | −26.3096 | − | 5.13484i | −1.43960 | − | 0.280966i | ||||
\(335\) | 15.0280i | 0.821066i | ||||||||
\(336\) | 7.78472 | − | 7.16924i | 0.424692 | − | 0.391114i | ||||
\(337\) | 15.2825i | 0.832489i | 0.909253 | + | 0.416244i | \(0.136654\pi\) | ||||
−0.909253 | + | 0.416244i | \(0.863346\pi\) | |||||||
\(338\) | 6.09638 | − | 31.2362i | 0.331599 | − | 1.69903i | ||||
\(339\) | 2.33847 | + | 17.7624i | 0.127008 | + | 0.964724i | ||||
\(340\) | −8.77545 | + | 0.0632265i | −0.475915 | + | 0.00342894i | ||||
\(341\) | −0.0596516 | − | 0.00785328i | −0.00323031 | − | 0.000425279i | ||||
\(342\) | 3.06540 | + | 0.189830i | 0.165758 | + | 0.0102648i | ||||
\(343\) | 9.82724 | − | 15.6979i | 0.530621 | − | 0.847609i | ||||
\(344\) | −17.4783 | − | 25.5559i | −0.942369 | − | 1.37788i | ||||
\(345\) | −4.43418 | − | 16.5486i | −0.238728 | − | 0.890945i | ||||
\(346\) | 1.49003 | + | 0.499818i | 0.0801045 | + | 0.0268704i | ||||
\(347\) | −4.44323 | − | 3.40941i | −0.238525 | − | 0.183027i | 0.482581 | − | 0.875851i | \(-0.339699\pi\) |
−0.721106 | + | 0.692824i | \(0.756366\pi\) | |||||||
\(348\) | −11.3225 | − | 8.55918i | −0.606951 | − | 0.458820i | ||||
\(349\) | −5.89247 | + | 14.2257i | −0.315417 | + | 0.761484i | 0.684069 | + | 0.729417i | \(0.260209\pi\) |
−0.999486 | + | 0.0320662i | \(0.989791\pi\) | |||||||
\(350\) | −15.5133 | + | 2.25594i | −0.829222 | + | 0.120585i | ||||
\(351\) | −5.95853 | −0.318043 | ||||||||
\(352\) | 0.208449 | + | 0.229227i | 0.0111104 | + | 0.0122178i | ||||
\(353\) | 11.4302 | + | 19.7977i | 0.608368 | + | 1.05372i | 0.991510 | + | 0.130034i | \(0.0415087\pi\) |
−0.383142 | + | 0.923689i | \(0.625158\pi\) | |||||||
\(354\) | −0.633299 | − | 9.15672i | −0.0336595 | − | 0.486674i | ||||
\(355\) | 13.9535 | + | 18.1845i | 0.740574 | + | 0.965135i | ||||
\(356\) | −12.0809 | − | 1.50202i | −0.640289 | − | 0.0796069i | ||||
\(357\) | 1.72771 | + | 3.41768i | 0.0914399 | + | 0.180883i | ||||
\(358\) | −13.5510 | + | 11.9706i | −0.716195 | + | 0.632665i | ||||
\(359\) | −2.89587 | − | 10.8075i | −0.152838 | − | 0.570399i | −0.999281 | − | 0.0379197i | \(-0.987927\pi\) |
0.846443 | − | 0.532480i | \(-0.178740\pi\) | |||||||
\(360\) | 2.84369 | + | 8.08896i | 0.149875 | + | 0.426325i | ||||
\(361\) | −3.69688 | + | 13.7969i | −0.194572 | + | 0.726154i | ||||
\(362\) | 14.1728 | − | 21.3773i | 0.744903 | − | 1.12357i | ||||
\(363\) | 4.20837 | + | 10.1599i | 0.220882 | + | 0.533257i | ||||
\(364\) | 17.9629 | + | 25.9124i | 0.941510 | + | 1.35818i | ||||
\(365\) | −32.4071 | − | 13.4235i | −1.69626 | − | 0.702616i | ||||
\(366\) | −2.63358 | + | 13.4938i | −0.137659 | + | 0.705330i | ||||
\(367\) | −10.4452 | + | 6.03054i | −0.545235 | + | 0.314791i | −0.747198 | − | 0.664602i | \(-0.768601\pi\) |
0.201963 | + | 0.979393i | \(0.435268\pi\) | |||||||
\(368\) | 19.7383 | + | 11.0198i | 1.02893 | + | 0.574446i | ||||
\(369\) | 9.93236 | + | 5.73445i | 0.517058 | + | 0.298523i | ||||
\(370\) | 8.32241 | + | 24.2299i | 0.432661 | + | 1.25965i | ||||
\(371\) | 3.72540 | + | 4.16407i | 0.193413 | + | 0.216188i | ||||
\(372\) | 2.11800 | − | 0.583902i | 0.109813 | − | 0.0302739i | ||||
\(373\) | −26.8005 | − | 3.52835i | −1.38768 | − | 0.182691i | −0.600601 | − | 0.799549i | \(-0.705072\pi\) |
−0.787075 | + | 0.616858i | \(0.788405\pi\) | |||||||
\(374\) | −0.100374 | + | 0.0499494i | −0.00519022 | + | 0.00258282i | ||||
\(375\) | −0.635745 | + | 2.37263i | −0.0328297 | + | 0.122522i | ||||
\(376\) | 4.55493 | + | 1.49149i | 0.234902 | + | 0.0769177i | ||||
\(377\) | 29.9011 | − | 29.9011i | 1.53999 | − | 1.53999i | ||||
\(378\) | 2.60977 | − | 2.68125i | 0.134232 | − | 0.137908i | ||||
\(379\) | −9.99916 | + | 4.14179i | −0.513623 | + | 0.212749i | −0.624413 | − | 0.781094i | \(-0.714662\pi\) |
0.110790 | + | 0.993844i | \(0.464662\pi\) | |||||||
\(380\) | 13.0416 | − | 1.81264i | 0.669019 | − | 0.0929864i | ||||
\(381\) | 13.0283 | − | 1.71521i | 0.667462 | − | 0.0878731i | ||||
\(382\) | −16.9018 | + | 1.16897i | −0.864773 | + | 0.0598096i | ||||
\(383\) | 3.01343 | − | 5.21942i | 0.153979 | − | 0.266700i | −0.778708 | − | 0.627387i | \(-0.784124\pi\) |
0.932687 | + | 0.360687i | \(0.117458\pi\) | |||||||
\(384\) | −10.2699 | − | 4.74649i | −0.524084 | − | 0.242218i | ||||
\(385\) | −0.362821 | + | 0.247663i | −0.0184911 | + | 0.0126221i | ||||
\(386\) | −6.78064 | + | 13.8756i | −0.345125 | + | 0.706247i | ||||
\(387\) | −6.66377 | − | 8.68440i | −0.338739 | − | 0.441453i | ||||
\(388\) | 3.37836 | − | 8.32524i | 0.171510 | − | 0.422650i | ||||
\(389\) | 10.4476 | + | 8.01669i | 0.529712 | + | 0.406462i | 0.838692 | − | 0.544606i | \(-0.183321\pi\) |
−0.308980 | + | 0.951069i | \(0.599988\pi\) | |||||||
\(390\) | −25.0360 | + | 5.07380i | −1.26775 | + | 0.256922i | ||||
\(391\) | −5.78429 | + | 5.78429i | −0.292524 | + | 0.292524i | ||||
\(392\) | −19.5277 | − | 3.26633i | −0.986298 | − | 0.164974i | ||||
\(393\) | 8.73300 | + | 8.73300i | 0.440521 | + | 0.440521i | ||||
\(394\) | 8.04735 | + | 5.33523i | 0.405420 | + | 0.268785i | ||||
\(395\) | 3.71167 | − | 4.83714i | 0.186754 | − | 0.243383i | ||||
\(396\) | 0.0780141 | + | 0.0768980i | 0.00392036 | + | 0.00386427i | ||||
\(397\) | 26.3338 | − | 20.2066i | 1.32165 | − | 1.01414i | 0.323974 | − | 0.946066i | \(-0.394981\pi\) |
0.997680 | − | 0.0680746i | \(-0.0216856\pi\) | |||||||
\(398\) | −9.35876 | − | 27.2471i | −0.469112 | − | 1.36578i | ||||
\(399\) | −3.23938 | − | 4.74563i | −0.162172 | − | 0.237579i | ||||
\(400\) | 8.58770 | + | 14.3914i | 0.429385 | + | 0.719568i | ||||
\(401\) | 18.8684 | + | 10.8937i | 0.942241 | + | 0.544003i | 0.890662 | − | 0.454666i | \(-0.150241\pi\) |
0.0515789 | + | 0.998669i | \(0.483575\pi\) | |||||||
\(402\) | −5.28757 | − | 4.60349i | −0.263720 | − | 0.229601i | ||||
\(403\) | 0.854356 | + | 6.48948i | 0.0425585 | + | 0.323264i | ||||
\(404\) | −6.51225 | + | 3.82267i | −0.323997 | + | 0.190185i | ||||
\(405\) | 1.16009 | + | 2.80070i | 0.0576452 | + | 0.139168i | ||||
\(406\) | 0.358666 | + | 26.5514i | 0.0178003 | + | 1.31772i | ||||
\(407\) | 0.231440 | + | 0.231440i | 0.0114721 | + | 0.0114721i | ||||
\(408\) | 2.66592 | − | 3.10700i | 0.131983 | − | 0.153819i | ||||
\(409\) | −5.79590 | − | 1.55301i | −0.286589 | − | 0.0767912i | 0.112661 | − | 0.993633i | \(-0.464063\pi\) |
−0.399250 | + | 0.916842i | \(0.630729\pi\) | |||||||
\(410\) | 46.6158 | + | 15.6369i | 2.30219 | + | 0.772251i | ||||
\(411\) | 2.32727 | − | 17.6774i | 0.114796 | − | 0.871960i | ||||
\(412\) | −31.6473 | − | 3.93469i | −1.55915 | − | 0.193848i | ||||
\(413\) | −12.7975 | + | 11.4493i | −0.629724 | + | 0.563385i | ||||
\(414\) | 7.18091 | + | 3.50913i | 0.352923 | + | 0.172464i | ||||
\(415\) | −19.2822 | + | 33.3978i | −0.946528 | + | 1.63943i | ||||
\(416\) | 18.2185 | − | 28.3587i | 0.893237 | − | 1.39040i | ||||
\(417\) | −1.76430 | − | 3.05586i | −0.0863981 | − | 0.149646i | ||||
\(418\) | 0.139530 | − | 0.0939597i | 0.00682463 | − | 0.00459572i | ||||
\(419\) | 2.74284 | − | 6.62181i | 0.133997 | − | 0.323496i | −0.842612 | − | 0.538521i | \(-0.818983\pi\) |
0.976609 | + | 0.215025i | \(0.0689832\pi\) | |||||||
\(420\) | 8.68238 | − | 13.4881i | 0.423657 | − | 0.658151i | ||||
\(421\) | −8.70106 | + | 3.60410i | −0.424064 | + | 0.175653i | −0.584501 | − | 0.811393i | \(-0.698710\pi\) |
0.160437 | + | 0.987046i | \(0.448710\pi\) | |||||||
\(422\) | 2.47355 | + | 12.2054i | 0.120410 | + | 0.594150i | ||||
\(423\) | 1.63681 | + | 0.438581i | 0.0795842 | + | 0.0213245i | ||||
\(424\) | 2.58378 | − | 5.38533i | 0.125479 | − | 0.261535i | ||||
\(425\) | −5.85771 | + | 1.56957i | −0.284141 | + | 0.0761353i | ||||
\(426\) | −10.6725 | − | 0.660913i | −0.517087 | − | 0.0320213i | ||||
\(427\) | 22.9545 | − | 11.6040i | 1.11085 | − | 0.561555i | ||||
\(428\) | 14.5314 | − | 25.5931i | 0.702400 | − | 1.23709i | ||||
\(429\) | −0.258915 | + | 0.198673i | −0.0125005 | + | 0.00959200i | ||||
\(430\) | −35.3942 | − | 30.8150i | −1.70686 | − | 1.48603i | ||||
\(431\) | −3.96864 | + | 2.29130i | −0.191163 | + | 0.110368i | −0.592527 | − | 0.805551i | \(-0.701870\pi\) |
0.401364 | + | 0.915919i | \(0.368536\pi\) | |||||||
\(432\) | −3.71719 | − | 1.47733i | −0.178843 | − | 0.0710779i | ||||
\(433\) | − | 16.1783i | − | 0.777480i | −0.921347 | − | 0.388740i | \(-0.872910\pi\) | ||
0.921347 | − | 0.388740i | \(-0.127090\pi\) | |||||||
\(434\) | −3.29436 | − | 2.45787i | −0.158134 | − | 0.117982i | ||||
\(435\) | −19.8760 | − | 8.23292i | −0.952983 | − | 0.394738i | ||||
\(436\) | −8.13159 | − | 2.11618i | −0.389433 | − | 0.101347i | ||||
\(437\) | 7.47165 | − | 9.73725i | 0.357418 | − | 0.465796i | ||||
\(438\) | 14.6502 | − | 7.29042i | 0.700015 | − | 0.348350i | ||||
\(439\) | 29.2014 | − | 7.82450i | 1.39371 | − | 0.373443i | 0.517627 | − | 0.855606i | \(-0.326815\pi\) |
0.876081 | + | 0.482163i | \(0.160149\pi\) | |||||||
\(440\) | 0.393273 | + | 0.256672i | 0.0187485 | + | 0.0122364i | ||||
\(441\) | −6.95685 | − | 0.776028i | −0.331279 | − | 0.0369537i | ||||
\(442\) | 8.07503 | + | 9.14117i | 0.384090 | + | 0.434801i | ||||
\(443\) | −4.71023 | + | 35.7777i | −0.223790 | + | 1.69985i | 0.398584 | + | 0.917132i | \(0.369502\pi\) |
−0.622374 | + | 0.782720i | \(0.713832\pi\) | |||||||
\(444\) | −11.0747 | − | 4.49407i | −0.525580 | − | 0.213279i | ||||
\(445\) | −18.2945 | + | 2.40852i | −0.867245 | + | 0.114175i | ||||
\(446\) | 1.10964 | + | 1.64782i | 0.0525431 | + | 0.0780264i | ||||
\(447\) | −1.91762 | −0.0907005 | ||||||||
\(448\) | 4.78145 | + | 20.6189i | 0.225902 | + | 0.974150i | ||||
\(449\) | 32.6589 | 1.54127 | 0.770633 | − | 0.637279i | \(-0.219940\pi\) | ||||
0.770633 | + | 0.637279i | \(0.219940\pi\) | |||||||
\(450\) | 3.30957 | + | 4.91470i | 0.156014 | + | 0.231681i | ||||
\(451\) | 0.622790 | − | 0.0819919i | 0.0293260 | − | 0.00386085i | ||||
\(452\) | −33.2019 | − | 13.4732i | −1.56168 | − | 0.633728i | ||||
\(453\) | 1.75694 | − | 13.3453i | 0.0825484 | − | 0.627018i | ||||
\(454\) | 26.4034 | + | 29.8895i | 1.23918 | + | 1.40278i | ||||
\(455\) | 36.2410 | + | 31.1529i | 1.69900 | + | 1.46047i | ||||
\(456\) | −3.35723 | + | 5.14393i | −0.157216 | + | 0.240887i | ||||
\(457\) | −13.8055 | + | 3.69916i | −0.645792 | + | 0.173040i | −0.566826 | − | 0.823838i | \(-0.691829\pi\) |
−0.0789667 | + | 0.996877i | \(0.525162\pi\) | |||||||
\(458\) | 34.3411 | − | 17.0892i | 1.60465 | − | 0.798526i | ||||
\(459\) | 0.881143 | − | 1.14833i | 0.0411282 | − | 0.0535994i | ||||
\(460\) | 33.1602 | + | 8.62967i | 1.54610 | + | 0.402360i | ||||
\(461\) | −21.2208 | − | 8.78995i | −0.988352 | − | 0.409389i | −0.170839 | − | 0.985299i | \(-0.554648\pi\) |
−0.817513 | + | 0.575910i | \(0.804648\pi\) | |||||||
\(462\) | 0.0240025 | − | 0.203524i | 0.00111670 | − | 0.00946880i | ||||
\(463\) | − | 23.4236i | − | 1.08859i | −0.838895 | − | 0.544294i | \(-0.816798\pi\) | ||
0.838895 | − | 0.544294i | \(-0.183202\pi\) | |||||||
\(464\) | 26.0671 | − | 11.2401i | 1.21014 | − | 0.521809i | ||||
\(465\) | 2.88392 | − | 1.66503i | 0.133739 | − | 0.0772141i | ||||
\(466\) | 14.7654 | + | 12.8551i | 0.683992 | + | 0.595499i | ||||
\(467\) | −8.95190 | + | 6.86903i | −0.414244 | + | 0.317861i | −0.794771 | − | 0.606909i | \(-0.792409\pi\) |
0.380527 | + | 0.924770i | \(0.375743\pi\) | |||||||
\(468\) | 5.88402 | − | 10.3631i | 0.271989 | − | 0.479036i | ||||
\(469\) | −0.728145 | + | 13.0957i | −0.0336226 | + | 0.604702i | ||||
\(470\) | 7.25084 | + | 0.449019i | 0.334456 | + | 0.0207117i | ||||
\(471\) | 0.108836 | − | 0.0291626i | 0.00501491 | − | 0.00134374i | ||||
\(472\) | 16.5509 | + | 7.94078i | 0.761815 | + | 0.365504i | ||||
\(473\) | −0.579120 | − | 0.155175i | −0.0266280 | − | 0.00713494i | ||||
\(474\) | 0.564955 | + | 2.78770i | 0.0259492 | + | 0.128043i | ||||
\(475\) | 8.40629 | − | 3.48200i | 0.385707 | − | 0.159765i | ||||
\(476\) | −7.65017 | − | 0.370097i | −0.350645 | − | 0.0169634i | ||||
\(477\) | 0.808153 | − | 1.95105i | 0.0370028 | − | 0.0893326i | ||||
\(478\) | 7.41843 | − | 4.99559i | 0.339311 | − | 0.228493i | ||||
\(479\) | 18.0114 | + | 31.1966i | 0.822961 | + | 1.42541i | 0.903468 | + | 0.428656i | \(0.141013\pi\) |
−0.0805065 | + | 0.996754i | \(0.525654\pi\) | |||||||
\(480\) | −16.8765 | − | 3.04204i | −0.770304 | − | 0.138849i | ||||
\(481\) | 17.8037 | − | 30.8370i | 0.811780 | − | 1.40604i | ||||
\(482\) | −31.5897 | − | 15.4371i | −1.43887 | − | 0.703140i | ||||
\(483\) | −3.06221 | − | 14.6356i | −0.139335 | − | 0.665943i | ||||
\(484\) | −21.8260 | − | 2.71361i | −0.992089 | − | 0.123346i | ||||
\(485\) | 1.77753 | − | 13.5017i | 0.0807136 | − | 0.613080i | ||||
\(486\) | −1.34079 | − | 0.449757i | −0.0608195 | − | 0.0204014i | ||||
\(487\) | −32.3385 | − | 8.66507i | −1.46540 | − | 0.392652i | −0.564047 | − | 0.825743i | \(-0.690756\pi\) |
−0.901350 | + | 0.433091i | \(0.857423\pi\) | |||||||
\(488\) | −20.8678 | − | 17.9054i | −0.944643 | − | 0.810538i | ||||
\(489\) | −8.42367 | − | 8.42367i | −0.380932 | − | 0.380932i | ||||
\(490\) | −29.8915 | + | 2.66324i | −1.35036 | + | 0.120313i | ||||
\(491\) | 7.81068 | + | 18.8567i | 0.352491 | + | 0.850989i | 0.996311 | + | 0.0858122i | \(0.0273485\pi\) |
−0.643820 | + | 0.765177i | \(0.722651\pi\) | |||||||
\(492\) | −19.7816 | + | 11.6117i | −0.891822 | + | 0.523497i | ||||
\(493\) | 1.34079 | + | 10.1843i | 0.0603861 | + | 0.458678i | ||||
\(494\) | −13.8023 | − | 12.0166i | −0.620993 | − | 0.540652i | ||||
\(495\) | 0.143792 | + | 0.0830181i | 0.00646295 | + | 0.00373138i | ||||
\(496\) | −1.07598 | + | 4.26024i | −0.0483130 | + | 0.191290i | ||||
\(497\) | 11.2783 | + | 16.5224i | 0.505899 | + | 0.741133i | ||||
\(498\) | −5.84430 | − | 17.0151i | −0.261889 | − | 0.762466i | ||||
\(499\) | 22.1417 | − | 16.9899i | 0.991197 | − | 0.760572i | 0.0202320 | − | 0.999795i | \(-0.493560\pi\) |
0.970965 | + | 0.239223i | \(0.0768929\pi\) | |||||||
\(500\) | −3.49871 | − | 3.44866i | −0.156467 | − | 0.154229i | ||||
\(501\) | 11.5389 | − | 15.0378i | 0.515519 | − | 0.671838i | ||||
\(502\) | −13.5263 | − | 8.96770i | −0.603710 | − | 0.400248i | ||||
\(503\) | −16.9919 | − | 16.9919i | −0.757630 | − | 0.757630i | 0.218260 | − | 0.975891i | \(-0.429962\pi\) |
−0.975891 | + | 0.218260i | \(0.929962\pi\) | |||||||
\(504\) | 2.08611 | + | 7.18666i | 0.0929229 | + | 0.320119i | ||||
\(505\) | −8.09335 | + | 8.09335i | −0.360149 | + | 0.360149i | ||||
\(506\) | 0.429034 | − | 0.0869481i | 0.0190729 | − | 0.00386531i | ||||
\(507\) | 17.8537 | + | 13.6996i | 0.792910 | + | 0.608422i | ||||
\(508\) | −9.88231 | + | 24.3528i | −0.438456 | + | 1.08048i | ||||
\(509\) | 4.55308 | + | 5.93369i | 0.201812 | + | 0.263006i | 0.883285 | − | 0.468837i | \(-0.155327\pi\) |
−0.681473 | + | 0.731843i | \(0.738660\pi\) | |||||||
\(510\) | 2.72448 | − | 5.57525i | 0.120642 | − | 0.246876i | ||||
\(511\) | −27.5898 | − | 13.2677i | −1.22050 | − | 0.586927i | ||||
\(512\) | 18.3966 | − | 13.1744i | 0.813023 | − | 0.582231i | ||||
\(513\) | −1.08586 | + | 1.88077i | −0.0479419 | + | 0.0830378i | ||||
\(514\) | −15.7791 | + | 1.09131i | −0.695984 | + | 0.0481358i | ||||
\(515\) | −47.9244 | + | 6.30937i | −2.11180 | + | 0.278024i | ||||
\(516\) | 21.6844 | − | 3.01390i | 0.954604 | − | 0.132680i | ||||
\(517\) | 0.0857473 | − | 0.0355177i | 0.00377116 | − | 0.00156207i | ||||
\(518\) | 6.07831 | + | 21.5177i | 0.267066 | + | 0.945432i | ||||
\(519\) | −0.785813 | + | 0.785813i | −0.0344934 | + | 0.0344934i | ||||
\(520\) | 15.8985 | − | 48.5532i | 0.697197 | − | 2.12920i | ||||
\(521\) | −5.89893 | + | 22.0151i | −0.258437 | + | 0.964499i | 0.707709 | + | 0.706504i | \(0.249729\pi\) |
−0.966146 | + | 0.257995i | \(0.916938\pi\) | |||||||
\(522\) | 8.98533 | − | 4.47139i | 0.393277 | − | 0.195707i | ||||
\(523\) | 2.60532 | + | 0.342997i | 0.113923 | + | 0.0149982i | 0.187272 | − | 0.982308i | \(-0.440035\pi\) |
−0.0733493 | + | 0.997306i | \(0.523369\pi\) | |||||||
\(524\) | −23.8123 | + | 6.56473i | −1.04025 | + | 0.286782i | ||||
\(525\) | 3.45900 | − | 10.5315i | 0.150963 | − | 0.459630i | ||||
\(526\) | −7.31694 | − | 21.3026i | −0.319034 | − | 0.928837i | ||||
\(527\) | −1.37699 | − | 0.795007i | −0.0599828 | − | 0.0346311i | ||||
\(528\) | −0.210780 | + | 0.0597466i | −0.00917304 | + | 0.00260014i | ||||
\(529\) | 7.74204 | − | 4.46987i | 0.336610 | − | 0.194342i | ||||
\(530\) | 1.73426 | − | 8.88591i | 0.0753316 | − | 0.385979i | ||||
\(531\) | 5.99621 | + | 2.48371i | 0.260213 | + | 0.107784i | ||||
\(532\) | 11.4525 | − | 0.947672i | 0.496530 | − | 0.0410868i | ||||
\(533\) | −26.1517 | − | 63.1359i | −1.13276 | − | 2.73472i | ||||
\(534\) | 4.75669 | − | 7.17471i | 0.205842 | − | 0.310480i | ||||
\(535\) | 11.5457 | − | 43.0890i | 0.499162 | − | 1.86290i | ||||
\(536\) | 13.2279 | − | 4.65029i | 0.571358 | − | 0.200862i | ||||
\(537\) | −3.30907 | − | 12.3496i | −0.142797 | − | 0.532925i | ||||
\(538\) | 7.51465 | − | 6.63821i | 0.323980 | − | 0.286194i | ||||
\(539\) | −0.328170 | + | 0.198238i | −0.0141353 | + | 0.00853874i | ||||
\(540\) | −6.01659 | − | 0.748040i | −0.258913 | − | 0.0321905i | ||||
\(541\) | −19.8932 | − | 25.9253i | −0.855274 | − | 1.11461i | −0.992277 | − | 0.124044i | \(-0.960414\pi\) |
0.137003 | − | 0.990571i | \(-0.456253\pi\) | |||||||
\(542\) | 0.493062 | + | 7.12906i | 0.0211788 | + | 0.306219i | ||||
\(543\) | 9.06820 | + | 15.7066i | 0.389154 | + | 0.674034i | ||||
\(544\) | 2.77115 | + | 7.70474i | 0.118812 | + | 0.330338i | ||||
\(545\) | −12.7358 | −0.545542 | ||||||||
\(546\) | −22.0627 | + | 3.20835i | −0.944197 | + | 0.137305i | ||||
\(547\) | 0.854348 | − | 2.06258i | 0.0365293 | − | 0.0881895i | −0.904562 | − | 0.426342i | \(-0.859802\pi\) |
0.941091 | + | 0.338153i | \(0.109802\pi\) | |||||||
\(548\) | 28.4465 | + | 21.5039i | 1.21517 | + | 0.918602i | ||||
\(549\) | −7.71263 | − | 5.91811i | −0.329167 | − | 0.252579i | ||||
\(550\) | 0.307679 | + | 0.103208i | 0.0131195 | + | 0.00440081i | ||||
\(551\) | −3.98899 | − | 14.8871i | −0.169937 | − | 0.634213i | ||||
\(552\) | −13.1942 | + | 9.02387i | −0.561584 | + | 0.384081i | ||||
\(553\) | 3.46879 | − | 4.03534i | 0.147508 | − | 0.171600i | ||||
\(554\) | −38.3574 | − | 2.37534i | −1.62965 | − | 0.100918i | ||||
\(555\) | −17.9606 | − | 2.36456i | −0.762386 | − | 0.100370i | ||||
\(556\) | 7.05702 | − | 0.0508453i | 0.299284 | − | 0.00215632i | ||||
\(557\) | −3.99319 | − | 30.3313i | −0.169197 | − | 1.28518i | −0.839610 | − | 0.543190i | \(-0.817216\pi\) |
0.670413 | − | 0.741988i | \(-0.266117\pi\) | |||||||
\(558\) | −0.297586 | + | 1.52475i | −0.0125978 | + | 0.0645479i | ||||
\(559\) | 65.2247i | 2.75871i | ||||||||
\(560\) | 14.8848 | + | 28.4199i | 0.628998 | + | 1.20096i | ||||
\(561\) | − | 0.0792777i | − | 0.00334711i | ||||||
\(562\) | −8.46040 | − | 1.65122i | −0.356880 | − | 0.0696524i | ||||
\(563\) | −2.37761 | − | 18.0597i | −0.100204 | − | 0.761127i | −0.965599 | − | 0.260036i | \(-0.916265\pi\) |
0.865395 | − | 0.501091i | \(-0.167068\pi\) | |||||||
\(564\) | −2.37912 | + | 2.41365i | −0.100179 | + | 0.101633i | ||||
\(565\) | −53.8461 | − | 7.08897i | −2.26532 | − | 0.298235i | ||||
\(566\) | 0.465477 | − | 7.51662i | 0.0195655 | − | 0.315947i | ||||
\(567\) | 0.875222 | + | 2.49680i | 0.0367559 | + | 0.104856i | ||||
\(568\) | 11.6886 | − | 17.9092i | 0.490441 | − | 0.751452i | ||||
\(569\) | −9.61581 | − | 35.8867i | −0.403116 | − | 1.50445i | −0.807505 | − | 0.589861i | \(-0.799182\pi\) |
0.404389 | − | 0.914587i | \(-0.367484\pi\) | |||||||
\(570\) | −2.96096 | + | 8.82706i | −0.124021 | + | 0.369725i | ||||
\(571\) | 33.0070 | + | 25.3272i | 1.38130 | + | 1.05991i | 0.990214 | + | 0.139556i | \(0.0445677\pi\) |
0.391087 | + | 0.920354i | \(0.372099\pi\) | |||||||
\(572\) | −0.0898560 | − | 0.646496i | −0.00375707 | − | 0.0270314i | ||||
\(573\) | 4.58453 | − | 11.0680i | 0.191521 | − | 0.462374i | ||||
\(574\) | 39.8643 | + | 15.8850i | 1.66391 | + | 0.663026i | ||||
\(575\) | 23.6783 | 0.987453 | ||||||||
\(576\) | 6.24009 | − | 5.00613i | 0.260004 | − | 0.208589i | ||||
\(577\) | −13.0216 | − | 22.5540i | −0.542095 | − | 0.938936i | −0.998784 | − | 0.0493094i | \(-0.984298\pi\) |
0.456689 | − | 0.889627i | \(-0.349035\pi\) | |||||||
\(578\) | 21.0285 | − | 1.45438i | 0.874671 | − | 0.0604942i | ||||
\(579\) | −6.64789 | − | 8.66370i | −0.276277 | − | 0.360051i | ||||
\(580\) | 33.9463 | − | 26.4386i | 1.40954 | − | 1.09780i | ||||
\(581\) | −18.4211 | + | 28.1693i | −0.764238 | + | 1.16866i | ||||
\(582\) | 4.20605 | + | 4.76137i | 0.174346 | + | 0.197365i | ||||
\(583\) | −0.0299365 | − | 0.111725i | −0.00123984 | − | 0.00462716i | ||||
\(584\) | −1.78745 | + | 32.6791i | −0.0739652 | + | 1.35227i | ||||
\(585\) | 4.67505 | − | 17.4475i | 0.193290 | − | 0.721367i | ||||
\(586\) | −11.8695 | − | 7.86925i | −0.490325 | − | 0.325076i | ||||
\(587\) | 3.04462 | + | 7.35037i | 0.125665 | + | 0.303382i | 0.974174 | − | 0.225799i | \(-0.0724992\pi\) |
−0.848509 | + | 0.529181i | \(0.822499\pi\) | |||||||
\(588\) | 8.21953 | − | 11.3331i | 0.338968 | − | 0.467369i | ||||
\(589\) | 2.20405 | + | 0.912947i | 0.0908162 | + | 0.0376173i | ||||
\(590\) | 27.3092 | + | 5.32995i | 1.12430 | + | 0.219430i | ||||
\(591\) | −5.91263 | + | 3.41366i | −0.243213 | + | 0.140419i | ||||
\(592\) | 18.7523 | − | 14.8233i | 0.770715 | − | 0.609233i | ||||
\(593\) | −18.4224 | − | 10.6362i | −0.756516 | − | 0.436775i | 0.0715272 | − | 0.997439i | \(-0.477213\pi\) |
−0.828044 | + | 0.560664i | \(0.810546\pi\) | |||||||
\(594\) | −0.0732572 | + | 0.0251621i | −0.00300578 | + | 0.00103241i | ||||
\(595\) | −11.3631 | + | 2.37750i | −0.465840 | + | 0.0974678i | ||||
\(596\) | 1.89364 | − | 3.33515i | 0.0775666 | − | 0.136613i | ||||
\(597\) | 20.1972 | + | 2.65901i | 0.826616 | + | 0.108826i | ||||
\(598\) | −21.2170 | − | 42.6359i | −0.867627 | − | 1.74351i | ||||
\(599\) | −8.24725 | + | 30.7792i | −0.336974 | + | 1.25760i | 0.564740 | + | 0.825269i | \(0.308976\pi\) |
−0.901714 | + | 0.432334i | \(0.857690\pi\) | |||||||
\(600\) | −11.8159 | + | 0.902795i | −0.482381 | + | 0.0368564i | ||||
\(601\) | 16.8586 | − | 16.8586i | 0.687677 | − | 0.687677i | −0.274041 | − | 0.961718i | \(-0.588360\pi\) |
0.961718 | + | 0.274041i | \(0.0883605\pi\) | |||||||
\(602\) | −29.3501 | − | 28.5677i | −1.19622 | − | 1.16433i | ||||
\(603\) | 4.57999 | − | 1.89709i | 0.186512 | − | 0.0772556i | ||||
\(604\) | 21.4753 | + | 16.2341i | 0.873819 | + | 0.660557i | ||||
\(605\) | −33.0517 | + | 4.35134i | −1.34374 | + | 0.176907i | ||||
\(606\) | −0.368417 | − | 5.32685i | −0.0149659 | − | 0.216389i | ||||
\(607\) | 1.50461 | − | 2.60607i | 0.0610704 | − | 0.105777i | −0.833874 | − | 0.551955i | \(-0.813882\pi\) |
0.894944 | + | 0.446178i | \(0.147215\pi\) | |||||||
\(608\) | −5.63113 | − | 10.9185i | −0.228373 | − | 0.442805i | ||||
\(609\) | −16.9215 | − | 8.13738i | −0.685693 | − | 0.329743i | ||||
\(610\) | −37.4456 | − | 18.2987i | −1.51613 | − | 0.740894i | ||||
\(611\) | −6.14667 | − | 8.01049i | −0.248668 | − | 0.324070i | ||||
\(612\) | 1.12706 | + | 2.66646i | 0.0455587 | + | 0.107785i | ||||
\(613\) | 22.1699 | + | 17.0116i | 0.895435 | + | 0.687091i | 0.950278 | − | 0.311404i | \(-0.100799\pi\) |
−0.0548431 | + | 0.998495i | \(0.517466\pi\) | |||||||
\(614\) | 0.425120 | + | 2.09770i | 0.0171565 | + | 0.0846564i | ||||
\(615\) | −24.5843 | + | 24.5843i | −0.991334 | + | 0.991334i | ||||
\(616\) | 0.330269 | + | 0.242725i | 0.0133069 | + | 0.00977965i | ||||
\(617\) | 33.9540 | + | 33.9540i | 1.36694 | + | 1.36694i | 0.864772 | + | 0.502165i | \(0.167463\pi\) |
0.502165 | + | 0.864772i | \(0.332537\pi\) | |||||||
\(618\) | 12.4606 | − | 18.7949i | 0.501241 | − | 0.756042i | ||||
\(619\) | −4.22721 | + | 5.50900i | −0.169906 | + | 0.221426i | −0.870543 | − | 0.492092i | \(-0.836232\pi\) |
0.700637 | + | 0.713517i | \(0.252899\pi\) | |||||||
\(620\) | 0.0479846 | + | 6.65996i | 0.00192711 | + | 0.267470i | ||||
\(621\) | −4.48366 | + | 3.44043i | −0.179923 | + | 0.138060i | ||||
\(622\) | −14.0731 | + | 4.83379i | −0.564281 | + | 0.193817i | ||||
\(623\) | −16.0589 | + | 1.21242i | −0.643388 | + | 0.0485744i | ||||
\(624\) | 12.2132 | + | 20.4671i | 0.488921 | + | 0.819340i | ||||
\(625\) | −24.5907 | − | 14.1974i | −0.983626 | − | 0.567897i | ||||
\(626\) | 3.03345 | − | 3.48422i | 0.121241 | − | 0.139258i | ||||
\(627\) | 0.0155258 | + | 0.117930i | 0.000620039 | + | 0.00470967i | ||||
\(628\) | −0.0567554 | + | 0.218087i | −0.00226479 | + | 0.00870262i | ||||
\(629\) | 3.31010 | + | 7.99129i | 0.131982 | + | 0.318633i | ||||
\(630\) | 5.80350 | + | 9.74554i | 0.231217 | + | 0.388271i | ||||
\(631\) | 11.3146 | + | 11.3146i | 0.450426 | + | 0.450426i | 0.895496 | − | 0.445070i | \(-0.146821\pi\) |
−0.445070 | + | 0.895496i | \(0.646821\pi\) | |||||||
\(632\) | −5.40628 | − | 1.77026i | −0.215050 | − | 0.0704172i | ||||
\(633\) | −8.50591 | − | 2.27915i | −0.338080 | − | 0.0905882i | ||||
\(634\) | −2.53759 | + | 7.56491i | −0.100780 | + | 0.300441i | ||||
\(635\) | −5.19959 | + | 39.4948i | −0.206340 | + | 1.56730i | ||||
\(636\) | 2.59525 | + | 3.33220i | 0.102908 | + | 0.132130i | ||||
\(637\) | 30.0717 | + | 28.9032i | 1.19148 | + | 1.14519i | ||||
\(638\) | 0.241351 | − | 0.493888i | 0.00955517 | − | 0.0195532i | ||||
\(639\) | 3.78054 | − | 6.54809i | 0.149556 | − | 0.259039i | ||||
\(640\) | 21.9562 | − | 26.3478i | 0.867896 | − | 1.04149i | ||||
\(641\) | 9.38749 | + | 16.2596i | 0.370783 | + | 0.642216i | 0.989686 | − | 0.143252i | \(-0.0457559\pi\) |
−0.618903 | + | 0.785468i | \(0.712423\pi\) | |||||||
\(642\) | 11.6241 | + | 17.2617i | 0.458765 | + | 0.681265i | ||||
\(643\) | 7.67218 | − | 18.5223i | 0.302561 | − | 0.730448i | −0.697345 | − | 0.716736i | \(-0.745635\pi\) |
0.999906 | − | 0.0137118i | \(-0.00436473\pi\) | |||||||
\(644\) | 28.4783 | + | 9.12676i | 1.12220 | + | 0.359645i | ||||
\(645\) | 30.6577 | − | 12.6988i | 1.20715 | − | 0.500016i | ||||
\(646\) | 4.35691 | − | 0.882971i | 0.171420 | − | 0.0347400i | ||||
\(647\) | −22.9329 | − | 6.14485i | −0.901586 | − | 0.241579i | −0.221888 | − | 0.975072i | \(-0.571222\pi\) |
−0.679697 | + | 0.733493i | \(0.737889\pi\) | |||||||
\(648\) | 2.10625 | − | 1.88778i | 0.0827411 | − | 0.0741592i | ||||
\(649\) | 0.343366 | − | 0.0920045i | 0.0134783 | − | 0.00361149i | ||||
\(650\) | 2.18215 | − | 35.2377i | 0.0855908 | − | 1.38214i | ||||
\(651\) | 2.59378 | − | 1.31121i | 0.101658 | − | 0.0513904i | ||||
\(652\) | 22.9689 | − | 6.33220i | 0.899531 | − | 0.247988i | ||||
\(653\) | 2.63861 | − | 2.02467i | 0.103257 | − | 0.0792316i | −0.555843 | − | 0.831287i | \(-0.687604\pi\) |
0.659099 | + | 0.752056i | \(0.270938\pi\) | |||||||
\(654\) | 3.90134 | − | 4.48108i | 0.152554 | − | 0.175224i | ||||
\(655\) | −32.4235 | + | 18.7197i | −1.26689 | + | 0.731440i | ||||
\(656\) | −0.661027 | − | 45.8708i | −0.0258088 | − | 1.79095i | ||||
\(657\) | 11.5711i | 0.451430i | ||||||||
\(658\) | 6.29677 | + | 0.742606i | 0.245474 | + | 0.0289498i | ||||
\(659\) | −25.4477 | − | 10.5408i | −0.991302 | − | 0.410611i | −0.172702 | − | 0.984974i | \(-0.555250\pi\) |
−0.818600 | + | 0.574363i | \(0.805250\pi\) | |||||||
\(660\) | −0.286379 | + | 0.168104i | −0.0111473 | + | 0.00654343i | ||||
\(661\) | −25.7457 | + | 33.5525i | −1.00139 | + | 1.30504i | −0.0494447 | + | 0.998777i | \(0.515745\pi\) |
−0.951947 | + | 0.306262i | \(0.900921\pi\) | |||||||
\(662\) | 15.5612 | + | 31.2706i | 0.604805 | + | 1.21537i | ||||
\(663\) | −8.33072 | + | 2.23221i | −0.323538 | + | 0.0866918i | ||||
\(664\) | 35.3641 | + | 6.63788i | 1.37239 | + | 0.257600i | ||||
\(665\) | 16.4376 | − | 5.76200i | 0.637422 | − | 0.223441i | ||||
\(666\) | 6.33381 | − | 5.59510i | 0.245430 | − | 0.216806i | ||||
\(667\) | 5.23512 | − | 39.7647i | 0.202705 | − | 1.53969i | ||||
\(668\) | 14.7593 | + | 34.9183i | 0.571053 | + | 1.35103i | ||||
\(669\) | −1.39273 | + | 0.183356i | −0.0538459 | + | 0.00708894i | ||||
\(670\) | 17.6284 | − | 11.8710i | 0.681043 | − | 0.458616i | ||||
\(671\) | −0.532460 | −0.0205554 | ||||||||
\(672\) | −14.5591 | − | 3.46860i | −0.561631 | − | 0.133804i | ||||
\(673\) | 14.3262 | 0.552234 | 0.276117 | − | 0.961124i | \(-0.410952\pi\) | ||||
0.276117 | + | 0.961124i | \(0.410952\pi\) | |||||||
\(674\) | 17.9269 | − | 12.0720i | 0.690519 | − | 0.464997i | ||||
\(675\) | −4.15388 | + | 0.546868i | −0.159883 | + | 0.0210490i | ||||
\(676\) | −41.4570 | + | 17.5230i | −1.59450 | + | 0.673963i | ||||
\(677\) | 0.786680 | − | 5.97543i | 0.0302346 | − | 0.229654i | −0.969656 | − | 0.244475i | \(-0.921384\pi\) |
0.999890 | + | 0.0148206i | \(0.00471771\pi\) | |||||||
\(678\) | 18.9888 | − | 16.7741i | 0.729261 | − | 0.644207i | ||||
\(679\) | 2.20317 | − | 11.6795i | 0.0845499 | − | 0.448219i | ||||
\(680\) | 7.00612 | + | 10.2440i | 0.268672 | + | 0.392839i | ||||
\(681\) | −27.2395 | + | 7.29879i | −1.04382 | + | 0.279690i | ||||
\(682\) | 0.0379081 | + | 0.0761770i | 0.00145158 | + | 0.00291697i | ||||
\(683\) | −29.3298 | + | 38.2234i | −1.12228 | + | 1.46258i | −0.253524 | + | 0.967329i | \(0.581590\pi\) |
−0.868751 | + | 0.495249i | \(0.835077\pi\) | |||||||
\(684\) | −2.19876 | − | 3.74579i | −0.0840719 | − | 0.143224i | ||||
\(685\) | 49.9362 | + | 20.6843i | 1.90796 | + | 0.790305i | ||||
\(686\) | −26.1771 | + | 0.872485i | −0.999445 | + | 0.0333116i | ||||
\(687\) | 27.1233i | 1.03482i | ||||||||
\(688\) | −16.1715 | + | 40.6900i | −0.616531 | + | 1.55129i | ||||
\(689\) | −10.8974 | + | 6.29163i | −0.415158 | + | 0.239692i | ||||
\(690\) | −15.9094 | + | 18.2736i | −0.605662 | + | 0.695664i | ||||
\(691\) | −11.2130 | + | 8.60404i | −0.426563 | + | 0.327313i | −0.799632 | − | 0.600490i | \(-0.794972\pi\) |
0.373069 | + | 0.927804i | \(0.378305\pi\) | |||||||
\(692\) | −0.590708 | − | 2.14268i | −0.0224553 | − | 0.0814525i | ||||
\(693\) | 0.121280 | + | 0.0793107i | 0.00460706 | + | 0.00301276i | ||||
\(694\) | −0.489545 | + | 7.90526i | −0.0185829 | + | 0.300080i | ||||
\(695\) | 10.3323 | − | 2.76853i | 0.391927 | − | 0.105016i | ||||
\(696\) | −1.09629 | + | 20.0429i | −0.0415546 | + | 0.759722i | ||||
\(697\) | 16.0348 | + | 4.29652i | 0.607363 | + | 0.162742i | ||||
\(698\) | 21.3419 | − | 4.32515i | 0.807802 | − | 0.163709i | ||||
\(699\) | −12.7895 | + | 5.29756i | −0.483741 | + | 0.200372i | ||||
\(700\) | 14.9007 | + | 16.4157i | 0.563193 | + | 0.620455i | ||||
\(701\) | 2.53249 | − | 6.11397i | 0.0956508 | − | 0.230921i | −0.868811 | − | 0.495144i | \(-0.835115\pi\) |
0.964462 | + | 0.264222i | \(0.0851153\pi\) | |||||||
\(702\) | 4.70680 | + | 6.98958i | 0.177647 | + | 0.263805i | ||||
\(703\) | −6.48897 | − | 11.2392i | −0.244736 | − | 0.423896i | ||||
\(704\) | 0.104233 | − | 0.425591i | 0.00392841 | − | 0.0160401i | ||||
\(705\) | −2.56847 | + | 4.44872i | −0.0967342 | + | 0.167549i | ||||
\(706\) | 14.1944 | − | 29.0467i | 0.534214 | − | 1.09319i | ||||
\(707\) | −7.44485 | + | 6.66056i | −0.279992 | + | 0.250496i | ||||
\(708\) | −10.2409 | + | 7.97602i | −0.384877 | + | 0.299757i | ||||
\(709\) | 0.448944 | − | 3.41007i | 0.0168604 | − | 0.128068i | −0.980945 | − | 0.194288i | \(-0.937761\pi\) |
0.997805 | + | 0.0662198i | \(0.0210939\pi\) | |||||||
\(710\) | 10.3089 | − | 30.7324i | 0.386887 | − | 1.15337i | ||||
\(711\) | −1.94274 | − | 0.520556i | −0.0728584 | − | 0.0195224i | ||||
\(712\) | 7.78113 | + | 15.3579i | 0.291610 | + | 0.575561i | ||||
\(713\) | 4.38988 | + | 4.38988i | 0.164402 | + | 0.164402i | ||||
\(714\) | 2.64431 | − | 4.72638i | 0.0989607 | − | 0.176880i | ||||
\(715\) | −0.378601 | − | 0.914023i | −0.0141589 | − | 0.0341825i | ||||
\(716\) | 24.7463 | + | 6.44001i | 0.924811 | + | 0.240675i | ||||
\(717\) | 0.825464 | + | 6.27002i | 0.0308275 | + | 0.234158i | ||||
\(718\) | −10.3901 | + | 11.9341i | −0.387756 | + | 0.445377i | ||||
\(719\) | −38.5527 | − | 22.2584i | −1.43777 | − | 0.830098i | −0.440078 | − | 0.897960i | \(-0.645049\pi\) |
−0.997695 | + | 0.0678616i | \(0.978382\pi\) | |||||||
\(720\) | 7.24235 | − | 9.72543i | 0.269906 | − | 0.362445i | ||||
\(721\) | −42.0680 | + | 3.17605i | −1.56669 | + | 0.118282i | ||||
\(722\) | 19.1046 | − | 6.56198i | 0.710999 | − | 0.244211i | ||||
\(723\) | 19.7241 | − | 15.1349i | 0.733548 | − | 0.562871i | ||||
\(724\) | −36.2718 | + | 0.261336i | −1.34803 | + | 0.00971248i | ||||
\(725\) | 18.1007 | − | 23.5893i | 0.672243 | − | 0.876084i | ||||
\(726\) | 8.59365 | − | 12.9621i | 0.318940 | − | 0.481070i | ||||
\(727\) | 24.0673 | + | 24.0673i | 0.892608 | + | 0.892608i | 0.994768 | − | 0.102160i | \(-0.0325754\pi\) |
−0.102160 | + | 0.994768i | \(0.532575\pi\) | |||||||
\(728\) | 16.2068 | − | 41.5400i | 0.600665 | − | 1.53957i | ||||
\(729\) | 0.707107 | − | 0.707107i | 0.0261891 | − | 0.0261891i | ||||
\(730\) | 9.85298 | + | 48.6183i | 0.364675 | + | 1.79944i | ||||
\(731\) | −12.5701 | − | 9.64539i | −0.464922 | − | 0.356747i | ||||
\(732\) | 17.9090 | − | 7.56978i | 0.661936 | − | 0.279787i | ||||
\(733\) | −18.4054 | − | 23.9864i | −0.679819 | − | 0.885957i | 0.318254 | − | 0.948005i | \(-0.396903\pi\) |
−0.998073 | + | 0.0620484i | \(0.980237\pi\) | |||||||
\(734\) | 15.3250 | + | 7.48893i | 0.565655 | + | 0.276421i | ||||
\(735\) | 7.73067 | − | 19.7619i | 0.285150 | − | 0.728929i | ||||
\(736\) | −2.66517 | − | 31.8586i | −0.0982394 | − | 1.17432i | ||||
\(737\) | 0.135760 | − | 0.235143i | 0.00500077 | − | 0.00866159i | ||||
\(738\) | −1.11910 | − | 16.1808i | −0.0411947 | − | 0.595624i | ||||
\(739\) | −6.87725 | + | 0.905407i | −0.252984 | + | 0.0333059i | −0.255951 | − | 0.966690i | \(-0.582389\pi\) |
0.00296763 | + | 0.999996i | \(0.499055\pi\) | |||||||
\(740\) | 21.8485 | − | 28.9023i | 0.803167 | − | 1.06247i | ||||
\(741\) | 11.9552 | − | 4.95202i | 0.439187 | − | 0.181917i | ||||
\(742\) | 1.94182 | − | 7.65933i | 0.0712864 | − | 0.281183i | ||||
\(743\) | 9.82072 | − | 9.82072i | 0.360287 | − | 0.360287i | −0.503631 | − | 0.863919i | \(-0.668003\pi\) |
0.863919 | + | 0.503631i | \(0.168003\pi\) | |||||||
\(744\) | −2.35800 | − | 2.02325i | −0.0864484 | − | 0.0741759i | ||||
\(745\) | 1.50456 | − | 5.61511i | 0.0551229 | − | 0.205722i | ||||
\(746\) | 17.0315 | + | 34.2251i | 0.623568 | + | 1.25307i | ||||
\(747\) | 12.6126 | + | 1.66048i | 0.461471 | + | 0.0607538i | ||||
\(748\) | 0.137881 | + | 0.0782863i | 0.00504141 | + | 0.00286243i | ||||
\(749\) | 12.1489 | − | 36.9892i | 0.443911 | − | 1.35156i | ||||
\(750\) | 3.28538 | − | 1.12845i | 0.119965 | − | 0.0412052i | ||||
\(751\) | 27.1815 | + | 15.6933i | 0.991867 | + | 0.572655i | 0.905832 | − | 0.423637i | \(-0.139247\pi\) |
0.0860355 | + | 0.996292i | \(0.472580\pi\) | |||||||
\(752\) | −1.84848 | − | 6.52127i | −0.0674072 | − | 0.237806i | ||||
\(753\) | 9.93822 | − | 5.73783i | 0.362169 | − | 0.209098i | ||||
\(754\) | −58.6948 | − | 11.4555i | −2.13754 | − | 0.417184i | ||||
\(755\) | 37.6987 | + | 15.6153i | 1.37200 | + | 0.568300i | ||||
\(756\) | −5.20673 | − | 0.943377i | −0.189367 | − | 0.0343103i | ||||
\(757\) | −2.66195 | − | 6.42652i | −0.0967502 | − | 0.233576i | 0.868093 | − | 0.496401i | \(-0.165346\pi\) |
−0.964843 | + | 0.262826i | \(0.915346\pi\) | |||||||
\(758\) | 12.7571 | + | 8.45769i | 0.463358 | + | 0.307197i | ||||
\(759\) | −0.0801149 | + | 0.298993i | −0.00290799 | + | 0.0108528i | ||||
\(760\) | −12.4282 | − | 13.8664i | −0.450817 | − | 0.502988i | ||||
\(761\) | 13.0035 | + | 48.5296i | 0.471375 | + | 1.75920i | 0.634836 | + | 0.772647i | \(0.281067\pi\) |
−0.163461 | + | 0.986550i | \(0.552266\pi\) | |||||||
\(762\) | −12.3034 | − | 13.9278i | −0.445706 | − | 0.504553i | ||||
\(763\) | −11.0982 | − | 0.617084i | −0.401783 | − | 0.0223399i | ||||
\(764\) | 14.7224 | + | 18.9031i | 0.532639 | + | 0.683890i | ||||
\(765\) | 2.67115 | + | 3.48111i | 0.0965755 | + | 0.125860i | ||||
\(766\) | −8.50296 | + | 0.588083i | −0.307224 | + | 0.0212483i | ||||
\(767\) | −19.3362 | − | 33.4912i | −0.698189 | − | 1.20930i | ||||
\(768\) | 2.54465 | + | 15.7964i | 0.0918222 | + | 0.570002i | ||||
\(769\) | −46.1127 | −1.66287 | −0.831434 | − | 0.555624i | \(-0.812480\pi\) | ||||
−0.831434 | + | 0.555624i | \(0.812480\pi\) | |||||||
\(770\) | 0.577119 | + | 0.229968i | 0.0207979 | + | 0.00828747i | ||||
\(771\) | 4.27998 | − | 10.3328i | 0.154140 | − | 0.372126i | ||||
\(772\) | 21.6328 | − | 3.00672i | 0.778580 | − | 0.108214i | ||||
\(773\) | −0.900658 | − | 0.691100i | −0.0323944 | − | 0.0248571i | 0.592437 | − | 0.805617i | \(-0.298166\pi\) |
−0.624832 | + | 0.780759i | \(0.714832\pi\) | |||||||
\(774\) | −4.92324 | + | 14.6769i | −0.176962 | + | 0.527550i | ||||
\(775\) | 1.19120 | + | 4.44560i | 0.0427890 | + | 0.159691i | ||||
\(776\) | −12.4345 | + | 2.61338i | −0.446372 | + | 0.0938148i | ||||
\(777\) | −15.5367 | − | 2.93077i | −0.557376 | − | 0.105141i | ||||
\(778\) | 1.15109 | − | 18.5880i | 0.0412684 | − | 0.666411i | ||||
\(779\) | −24.6942 | − | 3.25105i | −0.884760 | − | 0.116481i | ||||
\(780\) | 25.7283 | + | 25.3603i | 0.921223 | + | 0.908043i | ||||
\(781\) | −0.0540547 | − | 0.410586i | −0.00193423 | − | 0.0146919i | ||||
\(782\) | 11.3544 | + | 2.21603i | 0.406031 | + | 0.0792451i | ||||
\(783\) | 7.09681i | 0.253619i | ||||||||
\(784\) | 11.5939 | + | 25.4869i | 0.414068 | + | 0.910246i | ||||
\(785\) | 0.341571i | 0.0121912i | ||||||||
\(786\) | 3.34571 | − | 17.1426i | 0.119338 | − | 0.611455i | ||||
\(787\) | −6.47489 | − | 49.1816i | −0.230805 | − | 1.75314i | −0.578642 | − | 0.815581i | \(-0.696417\pi\) |
0.347838 | − | 0.937555i | \(-0.386916\pi\) | |||||||
\(788\) | −0.0983782 | − | 13.6543i | −0.00350458 | − | 0.486414i | ||||
\(789\) | 15.7907 | + | 2.07889i | 0.562165 | + | 0.0740104i | ||||
\(790\) | −8.60609 | − | 0.532944i | −0.306191 | − | 0.0189613i | ||||
\(791\) | −46.5791 | − | 8.78645i | −1.65616 | − | 0.312410i | ||||
\(792\) | 0.0285789 | − | 0.152257i | 0.00101551 | − | 0.00541022i | ||||
\(793\) | 14.9924 | + | 55.9524i | 0.532396 | + | 1.98693i | ||||
\(794\) | −44.5048 | − | 14.9288i | −1.57942 | − | 0.529802i | ||||
\(795\) | 5.07892 | + | 3.89719i | 0.180131 | + | 0.138219i | ||||
\(796\) | −24.5692 | + | 32.5014i | −0.870832 | + | 1.15198i | ||||
\(797\) | 13.3482 | − | 32.2254i | 0.472817 | − | 1.14148i | −0.490096 | − | 0.871668i | \(-0.663038\pi\) |
0.962913 | − | 0.269812i | \(-0.0869616\pi\) | |||||||
\(798\) | −3.00794 | + | 7.54861i | −0.106480 | + | 0.267218i | ||||
\(799\) | 2.45275 | 0.0867720 | ||||||||
\(800\) | 10.0980 | − | 21.4418i | 0.357017 | − | 0.758082i | ||||
\(801\) | 3.04349 | + | 5.27148i | 0.107536 | + | 0.186259i | ||||
\(802\) | −2.12594 | − | 30.7385i | −0.0750696 | − | 1.08541i | ||||
\(803\) | 0.385809 | + | 0.502796i | 0.0136149 | + | 0.0177433i | ||||
\(804\) | −1.22327 | + | 9.83894i | −0.0431415 | + | 0.346993i | ||||
\(805\) | 45.2580 | + | 2.51643i | 1.59514 | + | 0.0886926i | ||||
\(806\) | 6.93752 | − | 6.12840i | 0.244364 | − | 0.215864i | ||||
\(807\) | 1.83502 | + | 6.84840i | 0.0645959 | + | 0.241075i | ||||
\(808\) | 9.62833 | + | 4.61949i | 0.338724 | + | 0.162513i | ||||
\(809\) | 0.380941 | − | 1.42169i | 0.0133932 | − | 0.0499841i | −0.958906 | − | 0.283724i | \(-0.908430\pi\) |
0.972299 | + | 0.233740i | \(0.0750966\pi\) | |||||||
\(810\) | 2.36894 | − | 3.57317i | 0.0832361 | − | 0.125548i | ||||
\(811\) | 15.7217 | + | 37.9555i | 0.552063 | + | 1.33280i | 0.915927 | + | 0.401346i | \(0.131457\pi\) |
−0.363864 | + | 0.931452i | \(0.618543\pi\) | |||||||
\(812\) | 30.8625 | − | 21.3944i | 1.08306 | − | 0.750795i | ||||
\(813\) | −4.66841 | − | 1.93372i | −0.163728 | − | 0.0678185i | ||||
\(814\) | 0.0886674 | − | 0.454308i | 0.00310779 | − | 0.0159235i | ||||
\(815\) | 31.2751 | − | 18.0567i | 1.09552 | − | 0.632497i | ||||
\(816\) | −5.75051 | − | 0.672923i | −0.201308 | − | 0.0235570i | ||||
\(817\) | 20.5877 | + | 11.8863i | 0.720272 | + | 0.415849i | ||||
\(818\) | 2.75659 | + | 8.02556i | 0.0963821 | + | 0.280607i | ||||
\(819\) | 4.91931 | − | 14.9776i | 0.171895 | − | 0.523360i | ||||
\(820\) | −18.4804 | − | 67.0341i | −0.645363 | − | 2.34093i | ||||
\(821\) | 40.2092 | + | 5.29364i | 1.40331 | + | 0.184749i | 0.793872 | − | 0.608084i | \(-0.208062\pi\) |
0.609438 | + | 0.792834i | \(0.291395\pi\) | |||||||
\(822\) | −22.5746 | + | 11.2338i | −0.787379 | + | 0.391825i | ||||
\(823\) | −3.76679 | + | 14.0579i | −0.131302 | + | 0.490026i | −0.999986 | − | 0.00534103i | \(-0.998300\pi\) |
0.868684 | + | 0.495367i | \(0.164967\pi\) | |||||||
\(824\) | 20.3835 | + | 40.2316i | 0.710091 | + | 1.40153i | ||||
\(825\) | −0.162264 | + | 0.162264i | −0.00564930 | + | 0.00564930i | ||||
\(826\) | 23.5396 | + | 5.96783i | 0.819047 | + | 0.207647i | ||||
\(827\) | −28.6137 | + | 11.8522i | −0.994997 | + | 0.412141i | −0.819960 | − | 0.572421i | \(-0.806004\pi\) |
−0.175037 | + | 0.984562i | \(0.556004\pi\) | |||||||
\(828\) | −1.55604 | − | 11.1954i | −0.0540763 | − | 0.389068i | ||||
\(829\) | −25.9825 | + | 3.42067i | −0.902411 | + | 0.118805i | −0.567431 | − | 0.823421i | \(-0.692063\pi\) |
−0.334979 | + | 0.942225i | \(0.608729\pi\) | |||||||
\(830\) | 54.4084 | − | 3.76301i | 1.88854 | − | 0.130616i | ||||
\(831\) | 13.5874 | − | 23.5340i | 0.471341 | − | 0.816386i | ||||
\(832\) | −47.6571 | + | 1.03024i | −1.65221 | + | 0.0357172i | ||||
\(833\) | −10.0172 | + | 1.52123i | −0.347076 | + | 0.0527074i | ||||
\(834\) | −2.19097 | + | 4.48349i | −0.0758671 | + | 0.155251i | ||||
\(835\) | 34.9796 | + | 45.5863i | 1.21052 | + | 1.57758i | ||||
\(836\) | −0.220437 | − | 0.0894526i | −0.00762396 | − | 0.00309378i | ||||
\(837\) | −0.871502 | − | 0.668727i | −0.0301235 | − | 0.0231146i | ||||
\(838\) | −9.93427 | + | 2.01328i | −0.343174 | + | 0.0695476i | ||||
\(839\) | −6.76236 | + | 6.76236i | −0.233463 | + | 0.233463i | −0.814136 | − | 0.580674i | \(-0.802789\pi\) |
0.580674 | + | 0.814136i | \(0.302789\pi\) | |||||||
\(840\) | −22.6805 | + | 0.469833i | −0.782550 | + | 0.0162108i | ||||
\(841\) | −15.1071 | − | 15.1071i | −0.520936 | − | 0.520936i | ||||
\(842\) | 11.1009 | + | 7.35970i | 0.382563 | + | 0.253632i | ||||
\(843\) | 3.71057 | − | 4.83571i | 0.127799 | − | 0.166551i | ||||
\(844\) | 12.3635 | − | 12.5429i | 0.425568 | − | 0.431745i | ||||
\(845\) | −54.1227 | + | 41.5298i | −1.86188 | + | 1.42867i | ||||
\(846\) | −0.778483 | − | 2.26648i | −0.0267648 | − | 0.0779232i | ||||
\(847\) | −29.0128 | + | 2.19040i | −0.996890 | + | 0.0752631i | ||||
\(848\) | −8.35819 | + | 1.22314i | −0.287022 | + | 0.0420030i | ||||
\(849\) | 4.61179 | + | 2.66262i | 0.158276 | + | 0.0913808i | ||||
\(850\) | 6.46832 | + | 5.63147i | 0.221862 | + | 0.193158i | ||||
\(851\) | −4.40824 | − | 33.4839i | −0.151113 | − | 1.14781i | ||||
\(852\) | 7.65525 | + | 13.0414i | 0.262264 | + | 0.446790i | ||||
\(853\) | 9.23805 | + | 22.3026i | 0.316305 | + | 0.763627i | 0.999444 | + | 0.0333390i | \(0.0106141\pi\) |
−0.683139 | + | 0.730288i | \(0.739386\pi\) | |||||||
\(854\) | −31.7442 | − | 17.7602i | −1.08627 | − | 0.607742i | ||||
\(855\) | −4.65522 | − | 4.65522i | −0.159205 | − | 0.159205i | ||||
\(856\) | −41.5004 | + | 3.17085i | −1.41846 | + | 0.108377i | ||||
\(857\) | 29.3135 | + | 7.85452i | 1.00133 | + | 0.268305i | 0.722002 | − | 0.691891i | \(-0.243222\pi\) |
0.279327 | + | 0.960196i | \(0.409889\pi\) | |||||||
\(858\) | 0.437574 | + | 0.146781i | 0.0149385 | + | 0.00501101i | ||||
\(859\) | 0.136634 | − | 1.03784i | 0.00466191 | − | 0.0354107i | −0.988956 | − | 0.148211i | \(-0.952649\pi\) |
0.993618 | + | 0.112800i | \(0.0359819\pi\) | |||||||
\(860\) | −8.18838 | + | 65.8602i | −0.279221 | + | 2.24582i | ||||
\(861\) | −22.6144 | + | 20.2321i | −0.770697 | + | 0.689507i | ||||
\(862\) | 5.82271 | + | 2.84541i | 0.198322 | + | 0.0969151i | ||||
\(863\) | −6.99730 | + | 12.1197i | −0.238191 | + | 0.412559i | −0.960195 | − | 0.279330i | \(-0.909888\pi\) |
0.722004 | + | 0.691889i | \(0.243221\pi\) | |||||||
\(864\) | 1.20335 | + | 5.52738i | 0.0409387 | + | 0.188045i | ||||
\(865\) | −1.68444 | − | 2.91753i | −0.0572727 | − | 0.0991992i | ||||
\(866\) | −18.9778 | + | 12.7797i | −0.644891 | + | 0.434271i | ||||
\(867\) | −5.70387 | + | 13.7704i | −0.193714 | + | 0.467666i | ||||
\(868\) | −0.280878 | + | 5.80595i | −0.00953362 | + | 0.197067i | ||||
\(869\) | −0.101774 | + | 0.0421563i | −0.00345245 | + | 0.00143005i | ||||
\(870\) | 6.04306 | + | 29.8187i | 0.204879 | + | 1.01095i | ||||
\(871\) | −28.5320 | − | 7.64512i | −0.966770 | − | 0.259045i | ||||
\(872\) | 3.94100 | + | 11.2103i | 0.133459 | + | 0.379628i | ||||
\(873\) | −4.33923 | + | 1.16269i | −0.146861 | + | 0.0393512i | ||||
\(874\) | −17.3242 | − | 1.07283i | −0.586000 | − | 0.0362889i | ||||
\(875\) | −5.43909 | − | 3.55686i | −0.183875 | − | 0.120244i | ||||
\(876\) | −20.1245 | − | 11.4264i | −0.679945 | − | 0.386061i | ||||
\(877\) | 13.3024 | − | 10.2073i | 0.449191 | − | 0.344676i | −0.359262 | − | 0.933237i | \(-0.616972\pi\) |
0.808453 | + | 0.588560i | \(0.200305\pi\) | |||||||
\(878\) | −32.2454 | − | 28.0736i | −1.08823 | − | 0.947438i | ||||
\(879\) | 8.72088 | − | 5.03500i | 0.294148 | − | 0.169826i | ||||
\(880\) | −0.00956974 | − | 0.664076i | −0.000322596 | − | 0.0223860i | ||||
\(881\) | 21.3447i | 0.719120i | 0.933122 | + | 0.359560i | \(0.117073\pi\) | ||||
−0.933122 | + | 0.359560i | \(0.882927\pi\) | |||||||
\(882\) | 4.58509 | + | 8.77365i | 0.154388 | + | 0.295424i | ||||
\(883\) | −10.0774 | − | 4.17418i | −0.339130 | − | 0.140472i | 0.206618 | − | 0.978422i | \(-0.433754\pi\) |
−0.545748 | + | 0.837949i | \(0.683754\pi\) | |||||||
\(884\) | 4.34426 | − | 16.6932i | 0.146113 | − | 0.561452i | ||||
\(885\) | −11.9773 | + | 15.6091i | −0.402613 | + | 0.524696i | ||||
\(886\) | 45.6894 | − | 22.7365i | 1.53496 | − | 0.763847i | ||||
\(887\) | −29.0688 | + | 7.78896i | −0.976035 | + | 0.261528i | −0.711374 | − | 0.702814i | \(-0.751927\pi\) |
−0.264661 | + | 0.964341i | \(0.585260\pi\) | |||||||
\(888\) | 3.47644 | + | 16.5410i | 0.116662 | + | 0.555078i | ||||
\(889\) | −6.44466 | + | 34.1647i | −0.216147 | + | 1.14585i | ||||
\(890\) | 17.2766 | + | 19.5576i | 0.579114 | + | 0.655573i | ||||
\(891\) | 0.00714906 | − | 0.0543025i | 0.000239503 | − | 0.00181920i | ||||
\(892\) | 1.05642 | − | 2.60331i | 0.0353714 | − | 0.0871651i | ||||
\(893\) | −3.64860 | + | 0.480347i | −0.122096 | + | 0.0160742i | ||||
\(894\) | 1.51478 | + | 2.24944i | 0.0506618 | + | 0.0752327i | ||||
\(895\) | 38.7579 | 1.29553 | ||||||||
\(896\) | 20.4097 | − | 21.8962i | 0.681841 | − | 0.731501i | ||||
\(897\) | 33.6748 | 1.12437 | ||||||||
\(898\) | −25.7981 | − | 38.3101i | −0.860893 | − | 1.27842i | ||||
\(899\) | 7.72918 | − | 1.01757i | 0.257783 | − | 0.0339377i | ||||
\(900\) | 3.15081 | − | 7.76449i | 0.105027 | − | 0.258816i | ||||
\(901\) | 0.398980 | − | 3.03055i | 0.0132919 | − | 0.100962i | ||||
\(902\) | −0.588138 | − | 0.665789i | −0.0195828 | − | 0.0221683i | ||||
\(903\) | 27.3310 | − | 9.58057i | 0.909520 | − | 0.318822i | ||||
\(904\) | 10.4224 | + | 49.5899i | 0.346644 | + | 1.64934i | ||||
\(905\) | −53.1063 | + | 14.2298i | −1.76531 | + | 0.473014i | ||||
\(906\) | −17.0424 | + | 8.48085i | −0.566196 | + | 0.281757i | ||||
\(907\) | 7.78677 | − | 10.1479i | 0.258556 | − | 0.336956i | −0.645980 | − | 0.763354i | \(-0.723551\pi\) |
0.904536 | + | 0.426398i | \(0.140218\pi\) | |||||||
\(908\) | 14.2047 | − | 54.5827i | 0.471400 | − | 1.81139i | ||||
\(909\) | 3.48825 | + | 1.44488i | 0.115698 | + | 0.0479236i | ||||
\(910\) | 7.91581 | − | 67.1205i | 0.262407 | − | 2.22502i | ||||
\(911\) | − | 32.7678i | − | 1.08565i | −0.839847 | − | 0.542823i | \(-0.817356\pi\) | ||
0.839847 | − | 0.542823i | \(-0.182644\pi\) | |||||||
\(912\) | 8.68598 | − | 0.125170i | 0.287622 | − | 0.00414480i | ||||
\(913\) | 0.603418 | − | 0.348384i | 0.0199702 | − | 0.0115298i | ||||
\(914\) | 15.2446 | + | 13.2723i | 0.504245 | + | 0.439008i | ||||
\(915\) | 23.3805 | − | 17.9405i | 0.772935 | − | 0.593094i | ||||
\(916\) | −47.1732 | − | 26.7841i | −1.55865 | − | 0.884973i | ||||
\(917\) | −29.1615 | + | 14.7417i | −0.962998 | + | 0.486815i | ||||
\(918\) | −2.04307 | − | 0.126520i | −0.0674314 | − | 0.00417578i | ||||
\(919\) | −53.8701 | + | 14.4344i | −1.77701 | + | 0.476148i | −0.990033 | − | 0.140835i | \(-0.955021\pi\) |
−0.786976 | + | 0.616983i | \(0.788355\pi\) | |||||||
\(920\) | −16.0712 | − | 45.7149i | −0.529850 | − | 1.50718i | ||||
\(921\) | −1.46188 | − | 0.391711i | −0.0481707 | − | 0.0129073i | ||||
\(922\) | 6.45193 | + | 31.8362i | 0.212483 | + | 1.04847i | ||||
\(923\) | −41.6235 | + | 17.2410i | −1.37006 | + | 0.567495i | ||||
\(924\) | −0.257702 | + | 0.132613i | −0.00847777 | + | 0.00436265i | ||||
\(925\) | 9.58134 | − | 23.1314i | 0.315033 | − | 0.760556i | ||||
\(926\) | −27.4768 | + | 18.5029i | −0.902943 | + | 0.608043i | ||||
\(927\) | 7.97273 | + | 13.8092i | 0.261859 | + | 0.453553i | ||||
\(928\) | −33.7762 | − | 21.6989i | −1.10876 | − | 0.712301i | ||||
\(929\) | −10.0898 | + | 17.4760i | −0.331035 | + | 0.573370i | −0.982715 | − | 0.185124i | \(-0.940731\pi\) |
0.651680 | + | 0.758494i | \(0.274065\pi\) | |||||||
\(930\) | −4.23123 | − | 2.06770i | −0.138748 | − | 0.0678024i | ||||
\(931\) | 14.6032 | − | 4.22468i | 0.478601 | − | 0.138458i | ||||
\(932\) | 3.41594 | − | 27.4749i | 0.111893 | − | 0.899969i | ||||
\(933\) | 1.37338 | − | 10.4318i | 0.0449623 | − | 0.341523i | ||||
\(934\) | 15.1290 | + | 5.07489i | 0.495035 | + | 0.166055i | ||||
\(935\) | 0.232138 | + | 0.0622011i | 0.00759172 | + | 0.00203419i | ||||
\(936\) | −16.8043 | + | 1.28394i | −0.549265 | + | 0.0419668i | ||||
\(937\) | −21.8789 | − | 21.8789i | −0.714751 | − | 0.714751i | 0.252774 | − | 0.967525i | \(-0.418657\pi\) |
−0.967525 | + | 0.252774i | \(0.918657\pi\) | |||||||
\(938\) | 15.9369 | − | 9.49047i | 0.520358 | − | 0.309875i | ||||
\(939\) | 1.25008 | + | 3.01796i | 0.0407949 | + | 0.0984875i | ||||
\(940\) | −5.20091 | − | 8.86020i | −0.169635 | − | 0.288988i | ||||
\(941\) | 5.41482 | + | 41.1296i | 0.176518 | + | 1.34079i | 0.818694 | + | 0.574230i | \(0.194698\pi\) |
−0.642176 | + | 0.766557i | \(0.721968\pi\) | |||||||
\(942\) | −0.120181 | − | 0.104633i | −0.00391572 | − | 0.00340912i | ||||
\(943\) | −56.1330 | − | 32.4084i | −1.82794 | − | 1.05536i | ||||
\(944\) | −3.75911 | − | 25.6874i | −0.122349 | − | 0.836054i | ||||
\(945\) | −7.99771 | + | 0.603811i | −0.260166 | + | 0.0196420i | ||||
\(946\) | 0.275436 | + | 0.801906i | 0.00895519 | + | 0.0260722i | ||||
\(947\) | −1.15734 | + | 0.888062i | −0.0376086 | + | 0.0288581i | −0.627395 | − | 0.778701i | \(-0.715879\pi\) |
0.589786 | + | 0.807560i | \(0.299212\pi\) | |||||||
\(948\) | 2.82380 | − | 2.86479i | 0.0917128 | − | 0.0930440i | ||||
\(949\) | 41.9720 | − | 54.6990i | 1.36247 | − | 1.77560i | ||||
\(950\) | −10.7249 | − | 7.11037i | −0.347960 | − | 0.230691i | ||||
\(951\) | −3.98959 | − | 3.98959i | −0.129371 | − | 0.129371i | ||||
\(952\) | 5.60893 | + | 9.26628i | 0.181786 | + | 0.300322i | ||||
\(953\) | −16.5205 | + | 16.5205i | −0.535152 | + | 0.535152i | −0.922101 | − | 0.386949i | \(-0.873529\pi\) |
0.386949 | + | 0.922101i | \(0.373529\pi\) | |||||||
\(954\) | −2.92704 | + | 0.593194i | −0.0947664 | + | 0.0192054i | ||||
\(955\) | 28.8120 | + | 22.1082i | 0.932333 | + | 0.715404i | ||||
\(956\) | −11.7200 | − | 4.75596i | −0.379053 | − | 0.153819i | ||||
\(957\) | 0.236626 | + | 0.308377i | 0.00764902 | + | 0.00996840i | ||||
\(958\) | 22.3672 | − | 45.7711i | 0.722650 | − | 1.47880i | ||||
\(959\) | 42.5132 | + | 20.4442i | 1.37282 | + | 0.660178i | ||||
\(960\) | 9.76278 | + | 22.1998i | 0.315092 | + | 0.716495i | ||||
\(961\) | 14.8966 | − | 25.8017i | 0.480537 | − | 0.832314i | ||||
\(962\) | −50.2366 | + | 3.47447i | −1.61969 | + | 0.112021i | ||||
\(963\) | −14.5895 | + | 1.92074i | −0.470140 | + | 0.0618951i | ||||
\(964\) | 6.84522 | + | 49.2500i | 0.220470 | + | 1.58624i | ||||
\(965\) | 30.5846 | − | 12.6686i | 0.984554 | − | 0.407816i | ||||
\(966\) | −14.7492 | + | 15.1531i | −0.474548 | + | 0.487544i | ||||
\(967\) | 27.5466 | − | 27.5466i | 0.885838 | − | 0.885838i | −0.108282 | − | 0.994120i | \(-0.534535\pi\) |
0.994120 | + | 0.108282i | \(0.0345351\pi\) | |||||||
\(968\) | 14.0577 | + | 27.7462i | 0.451832 | + | 0.891797i | ||||
\(969\) | −0.813579 | + | 3.03632i | −0.0261359 | + | 0.0975406i | ||||
\(970\) | −17.2421 | + | 8.58023i | −0.553611 | + | 0.275494i | ||||
\(971\) | 45.6955 | + | 6.01593i | 1.46644 | + | 0.193060i | 0.821077 | − | 0.570817i | \(-0.193374\pi\) |
0.645361 | + | 0.763878i | \(0.276707\pi\) | |||||||
\(972\) | 0.531543 | + | 1.92807i | 0.0170493 | + | 0.0618429i | ||||
\(973\) | 9.13792 | − | 1.91193i | 0.292948 | − | 0.0612936i | ||||
\(974\) | 15.3806 | + | 44.7790i | 0.492825 | + | 1.43481i | ||||
\(975\) | 21.6200 | + | 12.4823i | 0.692393 | + | 0.399753i | ||||
\(976\) | −4.51962 | + | 38.6227i | −0.144670 | + | 1.23628i | ||||
\(977\) | 7.48702 | − | 4.32263i | 0.239531 | − | 0.138293i | −0.375430 | − | 0.926851i | \(-0.622505\pi\) |
0.614961 | + | 0.788557i | \(0.289172\pi\) | |||||||
\(978\) | −3.22721 | + | 16.5354i | −0.103195 | + | 0.528742i | ||||
\(979\) | 0.308013 | + | 0.127583i | 0.00984413 | + | 0.00407757i | ||||
\(980\) | 26.7361 | + | 32.9600i | 0.854054 | + | 1.05287i | ||||
\(981\) | 1.60774 | + | 3.88142i | 0.0513311 | + | 0.123924i | ||||
\(982\) | 15.9497 | − | 24.0576i | 0.508976 | − | 0.767708i | ||||
\(983\) | −2.26709 | + | 8.46091i | −0.0723091 | + | 0.269861i | −0.992610 | − | 0.121351i | \(-0.961277\pi\) |
0.920301 | + | 0.391212i | \(0.127944\pi\) | |||||||
\(984\) | 29.2470 | + | 14.0321i | 0.932359 | + | 0.447328i | ||||
\(985\) | −5.35670 | − | 19.9915i | −0.170679 | − | 0.636982i | ||||
\(986\) | 10.8874 | − | 9.61764i | 0.346727 | − | 0.306288i | ||||
\(987\) | −2.45377 | + | 3.75226i | −0.0781043 | + | 0.119436i | ||||
\(988\) | −3.19313 | + | 25.6828i | −0.101587 | + | 0.817078i | ||||
\(989\) | 37.6605 | + | 49.0801i | 1.19753 | + | 1.56066i | ||||
\(990\) | −0.0162013 | − | 0.234251i | −0.000514912 | − | 0.00744498i | ||||
\(991\) | −9.01201 | − | 15.6093i | −0.286276 | − | 0.495844i | 0.686642 | − | 0.726996i | \(-0.259084\pi\) |
−0.972918 | + | 0.231151i | \(0.925751\pi\) | |||||||
\(992\) | 5.84737 | − | 2.10311i | 0.185654 | − | 0.0667738i | ||||
\(993\) | −24.6982 | −0.783773 | ||||||||
\(994\) | 10.4725 | − | 26.2813i | 0.332167 | − | 0.833593i | ||||
\(995\) | −23.6327 | + | 57.0543i | −0.749206 | + | 1.80874i | ||||
\(996\) | −15.3428 | + | 20.2963i | −0.486156 | + | 0.643112i | ||||
\(997\) | 20.2195 | + | 15.5150i | 0.640360 | + | 0.491365i | 0.877163 | − | 0.480192i | \(-0.159433\pi\) |
−0.236804 | + | 0.971558i | \(0.576100\pi\) | |||||||
\(998\) | −37.4200 | − | 12.5522i | −1.18451 | − | 0.397334i | ||||
\(999\) | 1.54667 | + | 5.77226i | 0.0489345 | + | 0.182626i |
(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 | 672.2.cj.a.205.20 | yes | 512 | |
7.4 | even | 3 | inner | 672.2.cj.a.109.63 | yes | 512 | |
32.5 | even | 8 | inner | 672.2.cj.a.37.63 | ✓ | 512 | |
224.165 | even | 24 | inner | 672.2.cj.a.613.20 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.cj.a.37.63 | ✓ | 512 | 32.5 | even | 8 | inner | |
672.2.cj.a.109.63 | yes | 512 | 7.4 | even | 3 | inner | |
672.2.cj.a.205.20 | yes | 512 | 1.1 | even | 1 | trivial | |
672.2.cj.a.613.20 | yes | 512 | 224.165 | even | 24 | inner |