Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 131.47 | ||
Character | \(\chi\) | \(=\) | 300.131 |
Dual form | 300.2.n.a.71.47 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.16649 | − | 0.799563i | 0.824833 | − | 0.565376i | ||||
\(3\) | 1.51725 | − | 0.835438i | 0.875984 | − | 0.482340i | ||||
\(4\) | 0.721398 | − | 1.86536i | 0.360699 | − | 0.932682i | ||||
\(5\) | 0.0912679 | + | 2.23420i | 0.0408163 | + | 0.999167i | ||||
\(6\) | 1.10187 | − | 2.18767i | 0.449837 | − | 0.893111i | ||||
\(7\) | 1.22899i | 0.464516i | 0.972654 | + | 0.232258i | \(0.0746114\pi\) | ||||
−0.972654 | + | 0.232258i | \(0.925389\pi\) | |||||||
\(8\) | −0.649972 | − | 2.75273i | −0.229800 | − | 0.973238i | ||||
\(9\) | 1.60409 | − | 2.53513i | 0.534695 | − | 0.845045i | ||||
\(10\) | 1.89285 | + | 2.53320i | 0.598572 | + | 0.801069i | ||||
\(11\) | −1.19894 | − | 3.68995i | −0.361493 | − | 1.11256i | −0.952148 | − | 0.305636i | \(-0.901131\pi\) |
0.590656 | − | 0.806924i | \(-0.298869\pi\) | |||||||
\(12\) | −0.463856 | − | 3.43291i | −0.133904 | − | 0.990994i | ||||
\(13\) | −1.75824 | + | 5.41130i | −0.487647 | + | 1.50082i | 0.340462 | + | 0.940258i | \(0.389417\pi\) |
−0.828110 | + | 0.560566i | \(0.810583\pi\) | |||||||
\(14\) | 0.982659 | + | 1.43361i | 0.262627 | + | 0.383148i | ||||
\(15\) | 2.00502 | + | 3.31359i | 0.517693 | + | 0.855566i | ||||
\(16\) | −2.95917 | − | 2.69134i | −0.739792 | − | 0.672835i | ||||
\(17\) | 0.726020 | − | 0.999281i | 0.176086 | − | 0.242361i | −0.711847 | − | 0.702335i | \(-0.752141\pi\) |
0.887933 | + | 0.459973i | \(0.152141\pi\) | |||||||
\(18\) | −0.155849 | − | 4.23978i | −0.0367341 | − | 0.999325i | ||||
\(19\) | −0.675846 | + | 0.930222i | −0.155050 | + | 0.213408i | −0.879474 | − | 0.475947i | \(-0.842106\pi\) |
0.724425 | + | 0.689354i | \(0.242106\pi\) | |||||||
\(20\) | 4.23345 | + | 1.44150i | 0.946627 | + | 0.322330i | ||||
\(21\) | 1.02675 | + | 1.86469i | 0.224055 | + | 0.406909i | ||||
\(22\) | −4.34889 | − | 3.34566i | −0.927186 | − | 0.713297i | ||||
\(23\) | 1.01754 | + | 3.13167i | 0.212172 | + | 0.652999i | 0.999342 | + | 0.0362631i | \(0.0115454\pi\) |
−0.787170 | + | 0.616736i | \(0.788455\pi\) | |||||||
\(24\) | −3.28591 | − | 3.63357i | −0.670733 | − | 0.741699i | ||||
\(25\) | −4.98334 | + | 0.407823i | −0.996668 | + | 0.0815645i | ||||
\(26\) | 2.27571 | + | 7.71805i | 0.446303 | + | 1.51363i | ||||
\(27\) | 0.315848 | − | 5.18654i | 0.0607850 | − | 0.998151i | ||||
\(28\) | 2.29252 | + | 0.886595i | 0.433246 | + | 0.167551i | ||||
\(29\) | −3.27247 | − | 4.50417i | −0.607683 | − | 0.836404i | 0.388701 | − | 0.921364i | \(-0.372924\pi\) |
−0.996384 | + | 0.0849600i | \(0.972924\pi\) | |||||||
\(30\) | 4.98826 | + | 2.26214i | 0.910727 | + | 0.413008i | ||||
\(31\) | −6.00889 | + | 8.27053i | −1.07923 | + | 1.48543i | −0.218862 | + | 0.975756i | \(0.570234\pi\) |
−0.860367 | + | 0.509675i | \(0.829766\pi\) | |||||||
\(32\) | −5.60374 | − | 0.773382i | −0.990610 | − | 0.136716i | ||||
\(33\) | −4.90180 | − | 4.59693i | −0.853295 | − | 0.800222i | ||||
\(34\) | 0.0479073 | − | 1.74615i | 0.00821604 | − | 0.299462i | ||||
\(35\) | −2.74583 | + | 0.112168i | −0.464129 | + | 0.0189598i | ||||
\(36\) | −3.57177 | − | 4.82105i | −0.595294 | − | 0.803508i | ||||
\(37\) | 1.51707 | − | 4.66906i | 0.249405 | − | 0.767589i | −0.745476 | − | 0.666533i | \(-0.767778\pi\) |
0.994881 | − | 0.101056i | \(-0.0322222\pi\) | |||||||
\(38\) | −0.0445965 | + | 1.62548i | −0.00723451 | + | 0.263687i | ||||
\(39\) | 1.85312 | + | 9.67919i | 0.296737 | + | 1.54991i | ||||
\(40\) | 6.09085 | − | 1.70341i | 0.963047 | − | 0.269332i | ||||
\(41\) | 2.19123 | + | 0.711975i | 0.342213 | + | 0.111192i | 0.475081 | − | 0.879942i | \(-0.342419\pi\) |
−0.132868 | + | 0.991134i | \(0.542419\pi\) | |||||||
\(42\) | 2.68863 | + | 1.35419i | 0.414865 | + | 0.208956i | ||||
\(43\) | 8.85459i | 1.35031i | 0.737675 | + | 0.675156i | \(0.235924\pi\) | ||||
−0.737675 | + | 0.675156i | \(0.764076\pi\) | |||||||
\(44\) | −7.74800 | − | 0.425468i | −1.16806 | − | 0.0641417i | ||||
\(45\) | 5.81041 | + | 3.35248i | 0.866165 | + | 0.499758i | ||||
\(46\) | 3.69092 | + | 2.83948i | 0.544197 | + | 0.418658i | ||||
\(47\) | 7.46449 | − | 5.42327i | 1.08881 | − | 0.791065i | 0.109610 | − | 0.993975i | \(-0.465040\pi\) |
0.979197 | + | 0.202910i | \(0.0650398\pi\) | |||||||
\(48\) | −6.73824 | − | 1.61123i | −0.972582 | − | 0.232561i | ||||
\(49\) | 5.48957 | 0.784225 | ||||||||
\(50\) | −5.48694 | + | 4.46021i | −0.775970 | + | 0.630770i | ||||
\(51\) | 0.266715 | − | 2.12270i | 0.0373476 | − | 0.297238i | ||||
\(52\) | 8.82566 | + | 7.18346i | 1.22390 | + | 0.996166i | ||||
\(53\) | −4.27163 | − | 5.87940i | −0.586754 | − | 0.807597i | 0.407662 | − | 0.913133i | \(-0.366344\pi\) |
−0.994416 | + | 0.105536i | \(0.966344\pi\) | |||||||
\(54\) | −3.77853 | − | 6.30259i | −0.514193 | − | 0.857674i | ||||
\(55\) | 8.13467 | − | 3.01544i | 1.09688 | − | 0.406602i | ||||
\(56\) | 3.38309 | − | 0.798812i | 0.452085 | − | 0.106746i | ||||
\(57\) | −0.248283 | + | 1.97601i | −0.0328859 | + | 0.261728i | ||||
\(58\) | −7.41868 | − | 2.63752i | −0.974120 | − | 0.346324i | ||||
\(59\) | −2.19729 | + | 6.76255i | −0.286062 | + | 0.880409i | 0.700016 | + | 0.714127i | \(0.253176\pi\) |
−0.986078 | + | 0.166282i | \(0.946824\pi\) | |||||||
\(60\) | 7.62748 | − | 1.34966i | 0.984703 | − | 0.174241i | ||||
\(61\) | 1.50308 | + | 4.62601i | 0.192450 | + | 0.592300i | 0.999997 | + | 0.00249669i | \(0.000794723\pi\) |
−0.807547 | + | 0.589803i | \(0.799205\pi\) | |||||||
\(62\) | −0.396504 | + | 14.4520i | −0.0503561 | + | 1.83540i | ||||
\(63\) | 3.11567 | + | 1.97141i | 0.392537 | + | 0.248375i | ||||
\(64\) | −7.15507 | + | 3.57840i | −0.894384 | + | 0.447300i | ||||
\(65\) | −12.2504 | − | 3.43439i | −1.51948 | − | 0.425983i | ||||
\(66\) | −9.39344 | − | 1.44297i | −1.15625 | − | 0.177617i | ||||
\(67\) | 7.52646 | − | 10.3593i | 0.919503 | − | 1.26559i | −0.0443124 | − | 0.999018i | \(-0.514110\pi\) |
0.963816 | − | 0.266570i | \(-0.0858903\pi\) | |||||||
\(68\) | −1.34027 | − | 2.07517i | −0.162532 | − | 0.251652i | ||||
\(69\) | 4.16019 | + | 3.90143i | 0.500827 | + | 0.469677i | ||||
\(70\) | −3.11329 | + | 2.32630i | −0.372110 | + | 0.278046i | ||||
\(71\) | 1.92669 | − | 1.39982i | 0.228655 | − | 0.166128i | −0.467559 | − | 0.883962i | \(-0.654866\pi\) |
0.696214 | + | 0.717834i | \(0.254866\pi\) | |||||||
\(72\) | −8.02116 | − | 2.76785i | −0.945303 | − | 0.326195i | ||||
\(73\) | 0.789142 | + | 2.42873i | 0.0923621 | + | 0.284261i | 0.986557 | − | 0.163416i | \(-0.0522513\pi\) |
−0.894195 | + | 0.447677i | \(0.852251\pi\) | |||||||
\(74\) | −1.96356 | − | 6.65941i | −0.228259 | − | 0.774140i | ||||
\(75\) | −7.22025 | + | 4.78204i | −0.833723 | + | 0.552183i | ||||
\(76\) | 1.24765 | + | 1.93176i | 0.143115 | + | 0.221588i | ||||
\(77\) | 4.53492 | − | 1.47349i | 0.516802 | − | 0.167919i | ||||
\(78\) | 9.90077 | + | 9.80899i | 1.12104 | + | 1.11065i | ||||
\(79\) | −2.96668 | − | 4.08328i | −0.333777 | − | 0.459405i | 0.608834 | − | 0.793298i | \(-0.291638\pi\) |
−0.942611 | + | 0.333893i | \(0.891638\pi\) | |||||||
\(80\) | 5.74293 | − | 6.85702i | 0.642079 | − | 0.766638i | ||||
\(81\) | −3.85382 | − | 8.13315i | −0.428202 | − | 0.903683i | ||||
\(82\) | 3.12532 | − | 0.921517i | 0.345134 | − | 0.101765i | ||||
\(83\) | 5.96084 | + | 4.33081i | 0.654287 | + | 0.475368i | 0.864729 | − | 0.502239i | \(-0.167490\pi\) |
−0.210441 | + | 0.977606i | \(0.567490\pi\) | |||||||
\(84\) | 4.21902 | − | 0.570077i | 0.460333 | − | 0.0622005i | ||||
\(85\) | 2.29886 | + | 1.53088i | 0.249347 | + | 0.166047i | ||||
\(86\) | 7.07980 | + | 10.3288i | 0.763434 | + | 1.11378i | ||||
\(87\) | −8.72811 | − | 4.10000i | −0.935752 | − | 0.439566i | ||||
\(88\) | −9.37816 | + | 5.69871i | −0.999715 | + | 0.607485i | ||||
\(89\) | −11.9886 | + | 3.89532i | −1.27079 | + | 0.412903i | −0.865326 | − | 0.501210i | \(-0.832889\pi\) |
−0.405460 | + | 0.914113i | \(0.632889\pi\) | |||||||
\(90\) | 9.45831 | − | 0.735155i | 0.996993 | − | 0.0774922i | ||||
\(91\) | −6.65046 | − | 2.16087i | −0.697158 | − | 0.226520i | ||||
\(92\) | 6.57577 | + | 0.361097i | 0.685571 | + | 0.0376469i | ||||
\(93\) | −2.20746 | + | 17.5685i | −0.228903 | + | 1.82177i | ||||
\(94\) | 4.37101 | − | 12.2945i | 0.450835 | − | 1.26808i | ||||
\(95\) | −2.13999 | − | 1.42508i | −0.219558 | − | 0.146210i | ||||
\(96\) | −9.14838 | + | 3.50816i | −0.933702 | + | 0.358051i | ||||
\(97\) | 5.45379 | − | 3.96241i | 0.553749 | − | 0.402322i | −0.275417 | − | 0.961325i | \(-0.588816\pi\) |
0.829166 | + | 0.559003i | \(0.188816\pi\) | |||||||
\(98\) | 6.40353 | − | 4.38926i | 0.646854 | − | 0.443382i | ||||
\(99\) | −11.2777 | − | 2.87952i | −1.13345 | − | 0.289403i | ||||
\(100\) | −2.83424 | + | 9.58995i | −0.283424 | + | 0.958995i | ||||
\(101\) | − | 3.79230i | − | 0.377348i | −0.982040 | − | 0.188674i | \(-0.939581\pi\) | ||
0.982040 | − | 0.188674i | \(-0.0604190\pi\) | |||||||
\(102\) | −1.38611 | − | 2.68937i | −0.137246 | − | 0.266287i | ||||
\(103\) | −5.49558 | − | 7.56401i | −0.541495 | − | 0.745304i | 0.447332 | − | 0.894368i | \(-0.352374\pi\) |
−0.988828 | + | 0.149063i | \(0.952374\pi\) | |||||||
\(104\) | 16.0387 | + | 1.32276i | 1.57272 | + | 0.129708i | ||||
\(105\) | −4.07239 | + | 2.46415i | −0.397425 | + | 0.240477i | ||||
\(106\) | −9.68377 | − | 3.44282i | −0.940570 | − | 0.334396i | ||||
\(107\) | −1.99209 | −0.192583 | −0.0962915 | − | 0.995353i | \(-0.530698\pi\) | ||||
−0.0962915 | + | 0.995353i | \(0.530698\pi\) | |||||||
\(108\) | −9.44694 | − | 4.33074i | −0.909032 | − | 0.416725i | ||||
\(109\) | 1.17339 | − | 3.61134i | 0.112391 | − | 0.345903i | −0.879003 | − | 0.476816i | \(-0.841791\pi\) |
0.991394 | + | 0.130913i | \(0.0417908\pi\) | |||||||
\(110\) | 7.07797 | − | 10.0217i | 0.674858 | − | 0.955528i | ||||
\(111\) | −1.59894 | − | 8.35154i | −0.151765 | − | 0.792693i | ||||
\(112\) | 3.30764 | − | 3.63680i | 0.312543 | − | 0.343646i | ||||
\(113\) | 11.9770 | + | 3.89156i | 1.12670 | + | 0.366087i | 0.812321 | − | 0.583211i | \(-0.198204\pi\) |
0.314378 | + | 0.949298i | \(0.398204\pi\) | |||||||
\(114\) | 1.29032 | + | 2.50351i | 0.120850 | + | 0.234475i | ||||
\(115\) | −6.90393 | + | 2.55922i | −0.643795 | + | 0.238648i | ||||
\(116\) | −10.7627 | + | 2.85505i | −0.999290 | + | 0.265085i | ||||
\(117\) | 10.8980 | + | 13.1376i | 1.00752 | + | 1.21457i | ||||
\(118\) | 2.84397 | + | 9.64532i | 0.261809 | + | 0.887923i | ||||
\(119\) | 1.22811 | + | 0.892275i | 0.112581 | + | 0.0817947i | ||||
\(120\) | 7.81824 | − | 7.67302i | 0.713704 | − | 0.700447i | ||||
\(121\) | −3.27906 | + | 2.38238i | −0.298096 | + | 0.216580i | ||||
\(122\) | 5.45212 | + | 4.19439i | 0.493611 | + | 0.379742i | ||||
\(123\) | 3.91946 | − | 0.750397i | 0.353406 | − | 0.0676611i | ||||
\(124\) | 11.0927 | + | 17.1751i | 0.996158 | + | 1.54237i | ||||
\(125\) | −1.36598 | − | 11.0966i | −0.122177 | − | 0.992508i | ||||
\(126\) | 5.21066 | − | 0.191538i | 0.464203 | − | 0.0170636i | ||||
\(127\) | 2.90427 | − | 0.943656i | 0.257713 | − | 0.0837359i | −0.177311 | − | 0.984155i | \(-0.556740\pi\) |
0.435024 | + | 0.900419i | \(0.356740\pi\) | |||||||
\(128\) | −5.48517 | + | 9.89510i | −0.484825 | + | 0.874611i | ||||
\(129\) | 7.39746 | + | 13.4346i | 0.651310 | + | 1.18285i | ||||
\(130\) | −17.0360 | + | 5.78881i | −1.49416 | + | 0.507712i | ||||
\(131\) | −14.0632 | − | 10.2175i | −1.22871 | − | 0.892707i | −0.231913 | − | 0.972737i | \(-0.574498\pi\) |
−0.996792 | + | 0.0800299i | \(0.974498\pi\) | |||||||
\(132\) | −12.1111 | + | 5.82744i | −1.05414 | + | 0.507213i | ||||
\(133\) | −1.14324 | − | 0.830611i | −0.0991313 | − | 0.0720231i | ||||
\(134\) | 0.496642 | − | 18.1019i | 0.0429034 | − | 1.56376i | ||||
\(135\) | 11.6166 | + | 0.232304i | 0.999800 | + | 0.0199936i | ||||
\(136\) | −3.22265 | − | 1.34904i | −0.276340 | − | 0.115679i | ||||
\(137\) | 0.0666100 | + | 0.0216429i | 0.00569088 | + | 0.00184908i | 0.311861 | − | 0.950128i | \(-0.399048\pi\) |
−0.306170 | + | 0.951977i | \(0.599048\pi\) | |||||||
\(138\) | 7.97226 | + | 1.22465i | 0.678644 | + | 0.104249i | ||||
\(139\) | 9.42407 | − | 3.06207i | 0.799340 | − | 0.259721i | 0.119263 | − | 0.992863i | \(-0.461947\pi\) |
0.680076 | + | 0.733141i | \(0.261947\pi\) | |||||||
\(140\) | −1.77160 | + | 5.20288i | −0.149728 | + | 0.439724i | ||||
\(141\) | 6.79468 | − | 14.4646i | 0.572215 | − | 1.21814i | ||||
\(142\) | 1.12822 | − | 3.17338i | 0.0946778 | − | 0.266304i | ||||
\(143\) | 22.0754 | 1.84604 | ||||||||
\(144\) | −11.5697 | + | 3.18475i | −0.964140 | + | 0.265396i | ||||
\(145\) | 9.76457 | − | 7.72246i | 0.810903 | − | 0.641315i | ||||
\(146\) | 2.86245 | + | 2.20212i | 0.236898 | + | 0.182249i | ||||
\(147\) | 8.32904 | − | 4.58620i | 0.686968 | − | 0.378263i | ||||
\(148\) | −7.61509 | − | 6.19814i | −0.625956 | − | 0.509484i | ||||
\(149\) | − | 13.5650i | − | 1.11129i | −0.831419 | − | 0.555645i | \(-0.812471\pi\) | ||
0.831419 | − | 0.555645i | \(-0.187529\pi\) | |||||||
\(150\) | −4.59881 | + | 11.3513i | −0.375492 | + | 0.926826i | ||||
\(151\) | − | 5.76043i | − | 0.468777i | −0.972143 | − | 0.234389i | \(-0.924691\pi\) | ||
0.972143 | − | 0.234389i | \(-0.0753088\pi\) | |||||||
\(152\) | 2.99993 | + | 1.25580i | 0.243327 | + | 0.101859i | ||||
\(153\) | −1.36871 | − | 3.44349i | −0.110654 | − | 0.278390i | ||||
\(154\) | 4.11180 | − | 5.34476i | 0.331338 | − | 0.430693i | ||||
\(155\) | −19.0265 | − | 12.6703i | −1.52824 | − | 1.01770i | ||||
\(156\) | 19.3920 | + | 3.52580i | 1.55261 | + | 0.282290i | ||||
\(157\) | −17.9696 | −1.43413 | −0.717063 | − | 0.697008i | \(-0.754514\pi\) | ||||
−0.717063 | + | 0.697008i | \(0.754514\pi\) | |||||||
\(158\) | −6.72544 | − | 2.39106i | −0.535047 | − | 0.190223i | ||||
\(159\) | −11.3930 | − | 5.35182i | −0.903524 | − | 0.424427i | ||||
\(160\) | 1.21645 | − | 12.5905i | 0.0961690 | − | 0.995365i | ||||
\(161\) | −3.84881 | + | 1.25055i | −0.303329 | + | 0.0985575i | ||||
\(162\) | −10.9984 | − | 6.40587i | −0.864116 | − | 0.503292i | ||||
\(163\) | −8.03734 | − | 2.61149i | −0.629533 | − | 0.204548i | −0.0231647 | − | 0.999732i | \(-0.507374\pi\) |
−0.606368 | + | 0.795184i | \(0.707374\pi\) | |||||||
\(164\) | 2.90884 | − | 3.57383i | 0.227143 | − | 0.279069i | ||||
\(165\) | 9.82310 | − | 11.3712i | 0.764727 | − | 0.885246i | ||||
\(166\) | 10.4160 | + | 0.285773i | 0.808440 | + | 0.0221803i | ||||
\(167\) | 9.75638 | + | 7.08842i | 0.754971 | + | 0.548519i | 0.897364 | − | 0.441292i | \(-0.145480\pi\) |
−0.142393 | + | 0.989810i | \(0.545480\pi\) | |||||||
\(168\) | 4.46564 | − | 4.03836i | 0.344531 | − | 0.311566i | ||||
\(169\) | −15.6735 | − | 11.3875i | −1.20566 | − | 0.875961i | ||||
\(170\) | 3.90563 | − | 0.0523328i | 0.299548 | − | 0.00401374i | ||||
\(171\) | 1.27412 | + | 3.20552i | 0.0974347 | + | 0.245132i | ||||
\(172\) | 16.5170 | + | 6.38768i | 1.25941 | + | 0.487056i | ||||
\(173\) | −13.8709 | + | 4.50692i | −1.05458 | + | 0.342655i | −0.784466 | − | 0.620172i | \(-0.787063\pi\) |
−0.270118 | + | 0.962827i | \(0.587063\pi\) | |||||||
\(174\) | −13.4595 | + | 2.19607i | −1.02036 | + | 0.166483i | ||||
\(175\) | −0.501212 | − | 6.12450i | −0.0378880 | − | 0.462969i | ||||
\(176\) | −6.38305 | + | 14.1459i | −0.481140 | + | 1.06629i | ||||
\(177\) | 2.31586 | + | 12.0962i | 0.174071 | + | 0.909204i | ||||
\(178\) | −10.8700 | + | 14.1295i | −0.814740 | + | 1.05905i | ||||
\(179\) | 8.20322 | − | 5.95999i | 0.613137 | − | 0.445470i | −0.237380 | − | 0.971417i | \(-0.576289\pi\) |
0.850518 | + | 0.525946i | \(0.176289\pi\) | |||||||
\(180\) | 10.4452 | − | 8.42006i | 0.778541 | − | 0.627594i | ||||
\(181\) | 2.56362 | + | 1.86258i | 0.190553 | + | 0.138445i | 0.678971 | − | 0.734165i | \(-0.262426\pi\) |
−0.488419 | + | 0.872609i | \(0.662426\pi\) | |||||||
\(182\) | −9.48544 | + | 2.79683i | −0.703108 | + | 0.207315i | ||||
\(183\) | 6.14530 | + | 5.76308i | 0.454273 | + | 0.426019i | ||||
\(184\) | 7.95929 | − | 4.83652i | 0.586766 | − | 0.356553i | ||||
\(185\) | 10.5701 | + | 2.96331i | 0.777129 | + | 0.217867i | ||||
\(186\) | 11.4721 | + | 22.2585i | 0.841178 | + | 1.63207i | ||||
\(187\) | −4.55775 | − | 1.48090i | −0.333295 | − | 0.108294i | ||||
\(188\) | −4.73150 | − | 17.8363i | −0.345080 | − | 1.30085i | ||||
\(189\) | 6.37424 | + | 0.388176i | 0.463657 | + | 0.0282356i | ||||
\(190\) | −3.63572 | + | 0.0487162i | −0.263763 | + | 0.00353424i | ||||
\(191\) | −1.49733 | + | 4.60830i | −0.108343 | + | 0.333445i | −0.990500 | − | 0.137509i | \(-0.956090\pi\) |
0.882158 | + | 0.470954i | \(0.156090\pi\) | |||||||
\(192\) | −7.86649 | + | 11.4069i | −0.567715 | + | 0.823225i | ||||
\(193\) | 19.3342 | 1.39171 | 0.695854 | − | 0.718183i | \(-0.255026\pi\) | ||||
0.695854 | + | 0.718183i | \(0.255026\pi\) | |||||||
\(194\) | 3.19360 | − | 8.98276i | 0.229287 | − | 0.644925i | ||||
\(195\) | −21.4562 | + | 5.02366i | −1.53651 | + | 0.359751i | ||||
\(196\) | 3.96017 | − | 10.2401i | 0.282869 | − | 0.731432i | ||||
\(197\) | 11.0615 | + | 15.2249i | 0.788102 | + | 1.08473i | 0.994342 | + | 0.106228i | \(0.0338775\pi\) |
−0.206239 | + | 0.978502i | \(0.566123\pi\) | |||||||
\(198\) | −15.4577 | + | 5.65830i | −1.09853 | + | 0.402118i | ||||
\(199\) | − | 2.99905i | − | 0.212597i | −0.994334 | − | 0.106299i | \(-0.966100\pi\) | ||
0.994334 | − | 0.106299i | \(-0.0338999\pi\) | |||||||
\(200\) | 4.36166 | + | 13.4527i | 0.308416 | + | 0.951252i | ||||
\(201\) | 2.76497 | − | 22.0055i | 0.195026 | − | 1.55215i | ||||
\(202\) | −3.03218 | − | 4.42368i | −0.213344 | − | 0.311249i | ||||
\(203\) | 5.53560 | − | 4.02185i | 0.388523 | − | 0.282279i | ||||
\(204\) | −3.76721 | − | 2.02884i | −0.263757 | − | 0.142047i | ||||
\(205\) | −1.39071 | + | 4.96064i | −0.0971313 | + | 0.346466i | ||||
\(206\) | −12.4584 | − | 4.42929i | −0.868021 | − | 0.308603i | ||||
\(207\) | 9.57144 | + | 2.44387i | 0.665261 | + | 0.169860i | ||||
\(208\) | 19.7666 | − | 11.2809i | 1.37057 | − | 0.782192i | ||||
\(209\) | 4.24276 | + | 1.37856i | 0.293478 | + | 0.0953568i | ||||
\(210\) | −2.78016 | + | 6.13054i | −0.191849 | + | 0.423048i | ||||
\(211\) | 3.11980 | − | 1.01368i | 0.214776 | − | 0.0697849i | −0.199653 | − | 0.979867i | \(-0.563981\pi\) |
0.414429 | + | 0.910082i | \(0.363981\pi\) | |||||||
\(212\) | −14.0488 | + | 3.72676i | −0.964873 | + | 0.255955i | ||||
\(213\) | 1.75380 | − | 3.73350i | 0.120168 | − | 0.255815i | ||||
\(214\) | −2.32376 | + | 1.59280i | −0.158849 | + | 0.108882i | ||||
\(215\) | −19.7830 | + | 0.808140i | −1.34919 | + | 0.0551147i | ||||
\(216\) | −14.4825 | + | 2.50166i | −0.985407 | + | 0.170217i | ||||
\(217\) | −10.1644 | − | 7.38490i | −0.690007 | − | 0.501319i | ||||
\(218\) | −1.51874 | − | 5.15079i | −0.102862 | − | 0.348855i | ||||
\(219\) | 3.22638 | + | 3.02571i | 0.218018 | + | 0.204458i | ||||
\(220\) | 0.243439 | − | 17.3495i | 0.0164126 | − | 1.16970i | ||||
\(221\) | 4.13089 | + | 5.68569i | 0.277874 | + | 0.382461i | ||||
\(222\) | −8.54273 | − | 8.46354i | −0.573351 | − | 0.568036i | ||||
\(223\) | 27.9800 | − | 9.09126i | 1.87368 | − | 0.608796i | 0.883610 | − | 0.468224i | \(-0.155106\pi\) |
0.990071 | − | 0.140571i | \(-0.0448940\pi\) | |||||||
\(224\) | 0.950482 | − | 6.88696i | 0.0635068 | − | 0.460155i | ||||
\(225\) | −6.95982 | + | 13.2876i | −0.463988 | + | 0.885841i | ||||
\(226\) | 17.0826 | − | 5.03688i | 1.13632 | − | 0.335049i | ||||
\(227\) | −4.32650 | − | 13.3156i | −0.287160 | − | 0.883788i | −0.985743 | − | 0.168258i | \(-0.946186\pi\) |
0.698583 | − | 0.715529i | \(-0.253814\pi\) | |||||||
\(228\) | 3.50686 | + | 1.88863i | 0.232247 | + | 0.125077i | ||||
\(229\) | −17.8709 | + | 12.9840i | −1.18095 | + | 0.858007i | −0.992278 | − | 0.124034i | \(-0.960417\pi\) |
−0.188667 | + | 0.982041i | \(0.560417\pi\) | |||||||
\(230\) | −6.00711 | + | 8.50543i | −0.396097 | + | 0.560832i | ||||
\(231\) | 5.64960 | − | 6.02429i | 0.371716 | − | 0.396369i | ||||
\(232\) | −10.2718 | + | 11.9358i | −0.674374 | + | 0.783625i | ||||
\(233\) | 4.51930 | − | 6.22028i | 0.296069 | − | 0.407504i | −0.634905 | − | 0.772591i | \(-0.718961\pi\) |
0.930974 | + | 0.365087i | \(0.118961\pi\) | |||||||
\(234\) | 23.2167 | + | 6.61119i | 1.51772 | + | 0.432187i | ||||
\(235\) | 12.7980 | + | 16.1822i | 0.834847 | + | 1.05561i | ||||
\(236\) | 11.0295 | + | 8.97723i | 0.717959 | + | 0.584368i | ||||
\(237\) | −7.91251 | − | 3.71688i | −0.513973 | − | 0.241437i | ||||
\(238\) | 2.14601 | + | 0.0588779i | 0.139105 | + | 0.00381649i | ||||
\(239\) | 9.12739 | + | 28.0912i | 0.590402 | + | 1.81707i | 0.576399 | + | 0.817169i | \(0.304457\pi\) |
0.0140032 | + | 0.999902i | \(0.495543\pi\) | |||||||
\(240\) | 2.98483 | − | 15.2017i | 0.192670 | − | 0.981264i | ||||
\(241\) | −2.13388 | + | 6.56741i | −0.137455 | + | 0.423044i | −0.995964 | − | 0.0897551i | \(-0.971392\pi\) |
0.858508 | + | 0.512799i | \(0.171392\pi\) | |||||||
\(242\) | −1.92013 | + | 5.40083i | −0.123431 | + | 0.347179i | ||||
\(243\) | −12.6419 | − | 9.12038i | −0.810981 | − | 0.585073i | ||||
\(244\) | 9.71352 | + | 0.533401i | 0.621844 | + | 0.0341475i | ||||
\(245\) | 0.501022 | + | 12.2648i | 0.0320091 | + | 0.783571i | ||||
\(246\) | 3.97202 | − | 4.00918i | 0.253247 | − | 0.255616i | ||||
\(247\) | −3.84541 | − | 5.29276i | −0.244678 | − | 0.336770i | ||||
\(248\) | 26.6722 | + | 11.1653i | 1.69368 | + | 0.708995i | ||||
\(249\) | 12.6622 | + | 1.59099i | 0.802434 | + | 0.100825i | ||||
\(250\) | −10.4658 | − | 11.8519i | −0.661916 | − | 0.749578i | ||||
\(251\) | −14.4985 | −0.915135 | −0.457568 | − | 0.889175i | \(-0.651279\pi\) | ||||
−0.457568 | + | 0.889175i | \(0.651279\pi\) | |||||||
\(252\) | 5.92504 | − | 4.38968i | 0.373243 | − | 0.276524i | ||||
\(253\) | 10.3357 | − | 7.50935i | 0.649802 | − | 0.472109i | ||||
\(254\) | 2.63329 | − | 3.42291i | 0.165228 | − | 0.214773i | ||||
\(255\) | 4.76690 | + | 0.402162i | 0.298515 | + | 0.0251844i | ||||
\(256\) | 1.51336 | + | 15.9283i | 0.0945850 | + | 0.995517i | ||||
\(257\) | − | 12.1666i | − | 0.758930i | −0.925206 | − | 0.379465i | \(-0.876108\pi\) | ||
0.925206 | − | 0.379465i | \(-0.123892\pi\) | |||||||
\(258\) | 19.3709 | + | 9.75660i | 1.20598 | + | 0.607419i | ||||
\(259\) | 5.73825 | + | 1.86447i | 0.356558 | + | 0.115853i | ||||
\(260\) | −15.2438 | + | 20.3739i | −0.945381 | + | 1.26354i | ||||
\(261\) | −16.6680 | + | 1.07108i | −1.03172 | + | 0.0662982i | ||||
\(262\) | −24.5741 | − | 0.674214i | −1.51819 | − | 0.0416531i | ||||
\(263\) | −1.08321 | + | 3.33377i | −0.0667935 | + | 0.205569i | −0.978883 | − | 0.204422i | \(-0.934468\pi\) |
0.912089 | + | 0.409992i | \(0.134468\pi\) | |||||||
\(264\) | −9.46807 | + | 16.4812i | −0.582720 | + | 1.01435i | ||||
\(265\) | 12.7459 | − | 10.0803i | 0.782975 | − | 0.619228i | ||||
\(266\) | −1.99770 | − | 0.0548089i | −0.122487 | − | 0.00336055i | ||||
\(267\) | −14.9353 | + | 15.9259i | −0.914028 | + | 0.974648i | ||||
\(268\) | −13.8943 | − | 21.5128i | −0.848727 | − | 1.31410i | ||||
\(269\) | 0.0420528 | − | 0.0578808i | 0.00256401 | − | 0.00352905i | −0.807733 | − | 0.589548i | \(-0.799306\pi\) |
0.810297 | + | 0.586019i | \(0.199306\pi\) | |||||||
\(270\) | 13.7364 | − | 9.01724i | 0.835972 | − | 0.548772i | ||||
\(271\) | 8.54047 | + | 11.7550i | 0.518797 | + | 0.714063i | 0.985372 | − | 0.170419i | \(-0.0545122\pi\) |
−0.466575 | + | 0.884482i | \(0.654512\pi\) | |||||||
\(272\) | −4.83782 | + | 1.00307i | −0.293336 | + | 0.0608203i | ||||
\(273\) | −11.8957 | + | 2.27748i | −0.719959 | + | 0.137839i | ||||
\(274\) | 0.0950048 | − | 0.0280127i | 0.00573945 | − | 0.00169231i | ||||
\(275\) | 7.47955 | + | 17.8993i | 0.451034 | + | 1.07937i | ||||
\(276\) | 10.2787 | − | 4.94577i | 0.618708 | − | 0.297701i | ||||
\(277\) | −0.715655 | − | 2.20256i | −0.0429995 | − | 0.132339i | 0.927252 | − | 0.374438i | \(-0.122164\pi\) |
−0.970252 | + | 0.242099i | \(0.922164\pi\) | |||||||
\(278\) | 8.54477 | − | 11.1070i | 0.512482 | − | 0.666154i | ||||
\(279\) | 11.3281 | + | 28.5000i | 0.678197 | + | 1.70625i | ||||
\(280\) | 2.09348 | + | 7.48562i | 0.125109 | + | 0.447351i | ||||
\(281\) | −14.9440 | + | 20.5686i | −0.891482 | + | 1.22702i | 0.0816243 | + | 0.996663i | \(0.473989\pi\) |
−0.973106 | + | 0.230357i | \(0.926011\pi\) | |||||||
\(282\) | −3.63940 | − | 22.3055i | −0.216723 | − | 1.32828i | ||||
\(283\) | −15.8760 | + | 21.8514i | −0.943728 | + | 1.29893i | 0.0105291 | + | 0.999945i | \(0.496648\pi\) |
−0.954257 | + | 0.298986i | \(0.903352\pi\) | |||||||
\(284\) | −1.22126 | − | 4.60380i | −0.0724687 | − | 0.273185i | ||||
\(285\) | −4.43746 | − | 0.374369i | −0.262853 | − | 0.0221757i | ||||
\(286\) | 25.7508 | − | 17.6507i | 1.52267 | − | 1.04371i | ||||
\(287\) | −0.875013 | + | 2.69301i | −0.0516504 | + | 0.158964i | ||||
\(288\) | −10.9495 | + | 12.9657i | −0.645206 | + | 0.764009i | ||||
\(289\) | 4.78183 | + | 14.7170i | 0.281284 | + | 0.865704i | ||||
\(290\) | 5.21568 | − | 16.8156i | 0.306275 | − | 0.987444i | ||||
\(291\) | 4.96441 | − | 10.5683i | 0.291019 | − | 0.619523i | ||||
\(292\) | 5.09975 | + | 0.280044i | 0.298440 | + | 0.0163883i | ||||
\(293\) | − | 20.9443i | − | 1.22358i | −0.791020 | − | 0.611790i | \(-0.790450\pi\) | ||
0.791020 | − | 0.611790i | \(-0.209550\pi\) | |||||||
\(294\) | 6.04879 | − | 12.0093i | 0.352773 | − | 0.700399i | ||||
\(295\) | −15.3095 | − | 4.29198i | −0.891351 | − | 0.249889i | ||||
\(296\) | −13.8387 | − | 1.14133i | −0.804360 | − | 0.0663383i | ||||
\(297\) | −19.5167 | + | 5.05287i | −1.13248 | + | 0.293197i | ||||
\(298\) | −10.8461 | − | 15.8235i | −0.628297 | − | 0.916629i | ||||
\(299\) | −18.7355 | −1.08350 | ||||||||
\(300\) | 3.71157 | + | 16.9182i | 0.214288 | + | 0.976771i | ||||
\(301\) | −10.8822 | −0.627242 | ||||||||
\(302\) | −4.60583 | − | 6.71948i | −0.265036 | − | 0.386663i | ||||
\(303\) | −3.16823 | − | 5.75387i | −0.182010 | − | 0.330551i | ||||
\(304\) | 4.50349 | − | 0.933752i | 0.258293 | − | 0.0535544i | ||||
\(305\) | −10.1983 | + | 3.78040i | −0.583951 | + | 0.216465i | ||||
\(306\) | −4.34988 | − | 2.92243i | −0.248666 | − | 0.167064i | ||||
\(307\) | 23.7948i | 1.35804i | 0.734119 | + | 0.679021i | \(0.237595\pi\) | ||||
−0.734119 | + | 0.679021i | \(0.762405\pi\) | |||||||
\(308\) | 0.522898 | − | 9.52226i | 0.0297949 | − | 0.542581i | ||||
\(309\) | −14.6574 | − | 6.88527i | −0.833832 | − | 0.391689i | ||||
\(310\) | −32.3249 | + | 0.433131i | −1.83593 | + | 0.0246002i | ||||
\(311\) | −1.28866 | − | 3.96610i | −0.0730735 | − | 0.224897i | 0.907849 | − | 0.419298i | \(-0.137724\pi\) |
−0.980922 | + | 0.194401i | \(0.937724\pi\) | |||||||
\(312\) | 25.4397 | − | 11.3924i | 1.44024 | − | 0.644965i | ||||
\(313\) | 3.10751 | − | 9.56394i | 0.175647 | − | 0.540586i | −0.824015 | − | 0.566567i | \(-0.808271\pi\) |
0.999662 | + | 0.0259814i | \(0.00827108\pi\) | |||||||
\(314\) | −20.9613 | + | 14.3678i | −1.18292 | + | 0.810821i | ||||
\(315\) | −4.12018 | + | 7.14097i | −0.232146 | + | 0.402348i | ||||
\(316\) | −9.75696 | + | 2.58826i | −0.548872 | + | 0.145601i | ||||
\(317\) | −11.3539 | + | 15.6272i | −0.637696 | + | 0.877713i | −0.998490 | − | 0.0549323i | \(-0.982506\pi\) |
0.360794 | + | 0.932645i | \(0.382506\pi\) | |||||||
\(318\) | −17.5689 | + | 2.86657i | −0.985217 | + | 0.160749i | ||||
\(319\) | −12.6967 | + | 17.4755i | −0.710877 | + | 0.978438i | ||||
\(320\) | −8.64790 | − | 15.6593i | −0.483433 | − | 0.875382i | ||||
\(321\) | −3.02250 | + | 1.66427i | −0.168700 | + | 0.0928906i | ||||
\(322\) | −3.48970 | + | 4.53613i | −0.194474 | + | 0.252788i | ||||
\(323\) | 0.438876 | + | 1.35072i | 0.0244197 | + | 0.0751561i | ||||
\(324\) | −17.9514 | + | 1.32153i | −0.997301 | + | 0.0734185i | ||||
\(325\) | 6.55505 | − | 27.6834i | 0.363609 | − | 1.53560i | ||||
\(326\) | −11.4635 | + | 3.38008i | −0.634906 | + | 0.187205i | ||||
\(327\) | −1.23672 | − | 6.45959i | −0.0683906 | − | 0.357216i | ||||
\(328\) | 0.535636 | − | 6.49464i | 0.0295755 | − | 0.358607i | ||||
\(329\) | 6.66517 | + | 9.17382i | 0.367463 | + | 0.505769i | ||||
\(330\) | 2.36657 | − | 21.1186i | 0.130275 | − | 1.16254i | ||||
\(331\) | 10.4621 | − | 14.3998i | 0.575049 | − | 0.791487i | −0.418093 | − | 0.908404i | \(-0.637301\pi\) |
0.993142 | + | 0.116918i | \(0.0373013\pi\) | |||||||
\(332\) | 12.3787 | − | 7.99491i | 0.679368 | − | 0.438778i | ||||
\(333\) | −9.40319 | − | 11.3356i | −0.515292 | − | 0.621184i | ||||
\(334\) | 17.0484 | + | 0.467738i | 0.932845 | + | 0.0255935i | ||||
\(335\) | 23.8317 | + | 15.8702i | 1.30206 | + | 0.867080i | ||||
\(336\) | 1.98019 | − | 8.28127i | 0.108028 | − | 0.451780i | ||||
\(337\) | 0.423817 | − | 1.30438i | 0.0230868 | − | 0.0710539i | −0.938849 | − | 0.344328i | \(-0.888107\pi\) |
0.961936 | + | 0.273274i | \(0.0881067\pi\) | |||||||
\(338\) | −27.3881 | − | 0.751418i | −1.48971 | − | 0.0408717i | ||||
\(339\) | 21.4232 | − | 4.10157i | 1.16355 | − | 0.222767i | ||||
\(340\) | 4.51404 | − | 3.18384i | 0.244808 | − | 0.172668i | ||||
\(341\) | 37.7221 | + | 12.2566i | 2.04277 | + | 0.663735i | ||||
\(342\) | 4.04927 | + | 2.72046i | 0.218959 | + | 0.147106i | ||||
\(343\) | 15.3496i | 0.828802i | ||||||||
\(344\) | 24.3743 | − | 5.75523i | 1.31417 | − | 0.310301i | ||||
\(345\) | −8.33691 | + | 9.65078i | −0.448844 | + | 0.519581i | ||||
\(346\) | −12.5767 | + | 16.3479i | −0.676126 | + | 0.878870i | ||||
\(347\) | −1.93818 | + | 1.40817i | −0.104047 | + | 0.0755947i | −0.638592 | − | 0.769545i | \(-0.720483\pi\) |
0.534545 | + | 0.845140i | \(0.320483\pi\) | |||||||
\(348\) | −13.9444 | + | 13.3234i | −0.747500 | + | 0.714208i | ||||
\(349\) | −36.4006 | −1.94848 | −0.974240 | − | 0.225515i | \(-0.927593\pi\) | ||||
−0.974240 | + | 0.225515i | \(0.927593\pi\) | |||||||
\(350\) | −5.48158 | − | 6.74342i | −0.293003 | − | 0.360451i | ||||
\(351\) | 27.5106 | + | 10.8283i | 1.46841 | + | 0.577973i | ||||
\(352\) | 3.86479 | + | 21.6047i | 0.205994 | + | 1.15154i | ||||
\(353\) | 9.09263 | + | 12.5149i | 0.483952 | + | 0.666103i | 0.979258 | − | 0.202616i | \(-0.0649442\pi\) |
−0.495306 | + | 0.868718i | \(0.664944\pi\) | |||||||
\(354\) | 12.3731 | + | 12.2584i | 0.657622 | + | 0.651525i | ||||
\(355\) | 3.30333 | + | 4.17685i | 0.175322 | + | 0.221684i | ||||
\(356\) | −1.38234 | + | 25.1731i | −0.0732638 | + | 1.33417i | ||||
\(357\) | 2.60879 | + | 0.327792i | 0.138072 | + | 0.0173486i | ||||
\(358\) | 4.80359 | − | 13.5113i | 0.253878 | − | 0.714092i | ||||
\(359\) | 7.56131 | − | 23.2713i | 0.399070 | − | 1.22821i | −0.526675 | − | 0.850066i | \(-0.676562\pi\) |
0.925746 | − | 0.378146i | \(-0.123438\pi\) | |||||||
\(360\) | 5.45187 | − | 18.1735i | 0.287339 | − | 0.957829i | ||||
\(361\) | 5.46278 | + | 16.8127i | 0.287515 | + | 0.884879i | ||||
\(362\) | 4.47969 | + | 0.122905i | 0.235447 | + | 0.00645973i | ||||
\(363\) | −2.98482 | + | 6.35411i | −0.156662 | + | 0.333504i | ||||
\(364\) | −8.82843 | + | 10.8467i | −0.462736 | + | 0.568521i | ||||
\(365\) | −5.35426 | + | 1.98477i | −0.280255 | + | 0.103888i | ||||
\(366\) | 11.7764 | + | 1.80902i | 0.615561 | + | 0.0945590i | ||||
\(367\) | −3.03964 | + | 4.18371i | −0.158668 | + | 0.218388i | −0.880948 | − | 0.473213i | \(-0.843094\pi\) |
0.722280 | + | 0.691601i | \(0.243094\pi\) | |||||||
\(368\) | 5.41732 | − | 12.0057i | 0.282398 | − | 0.625841i | ||||
\(369\) | 5.31988 | − | 4.41300i | 0.276942 | − | 0.229732i | ||||
\(370\) | 14.6993 | − | 4.99479i | 0.764178 | − | 0.259667i | ||||
\(371\) | 7.22575 | − | 5.24981i | 0.375142 | − | 0.272557i | ||||
\(372\) | 31.1792 | + | 16.7916i | 1.61657 | + | 0.870605i | ||||
\(373\) | 7.14857 | + | 22.0010i | 0.370139 | + | 1.13917i | 0.946700 | + | 0.322116i | \(0.104394\pi\) |
−0.576561 | + | 0.817054i | \(0.695606\pi\) | |||||||
\(374\) | −6.50064 | + | 1.91675i | −0.336140 | + | 0.0991127i | ||||
\(375\) | −11.3430 | − | 15.6951i | −0.585752 | − | 0.810490i | ||||
\(376\) | −19.7805 | − | 17.0228i | −1.02010 | − | 0.877882i | ||||
\(377\) | 30.1272 | − | 9.78892i | 1.55163 | − | 0.504155i | ||||
\(378\) | 7.74585 | − | 4.64380i | 0.398404 | − | 0.238851i | ||||
\(379\) | 6.71591 | + | 9.24366i | 0.344973 | + | 0.474815i | 0.945886 | − | 0.324500i | \(-0.105196\pi\) |
−0.600913 | + | 0.799315i | \(0.705196\pi\) | |||||||
\(380\) | −4.20208 | + | 2.96381i | −0.215562 | + | 0.152040i | ||||
\(381\) | 3.61814 | − | 3.85810i | 0.185363 | − | 0.197656i | ||||
\(382\) | 1.93801 | + | 6.57275i | 0.0991571 | + | 0.336291i | ||||
\(383\) | −1.88563 | − | 1.36999i | −0.0963511 | − | 0.0700031i | 0.538567 | − | 0.842583i | \(-0.318966\pi\) |
−0.634918 | + | 0.772580i | \(0.718966\pi\) | |||||||
\(384\) | −0.0556179 | + | 19.5958i | −0.00283824 | + | 0.999996i | ||||
\(385\) | 3.70596 | + | 9.99746i | 0.188873 | + | 0.509518i | ||||
\(386\) | 22.5532 | − | 15.4589i | 1.14793 | − | 0.786839i | ||||
\(387\) | 22.4476 | + | 14.2035i | 1.14107 | + | 0.722005i | ||||
\(388\) | −3.45699 | − | 13.0318i | −0.175502 | − | 0.661589i | ||||
\(389\) | −18.9031 | + | 6.14200i | −0.958426 | + | 0.311412i | −0.746135 | − | 0.665795i | \(-0.768093\pi\) |
−0.212291 | + | 0.977206i | \(0.568093\pi\) | |||||||
\(390\) | −21.0117 | + | 23.0156i | −1.06397 | + | 1.16544i | ||||
\(391\) | 3.86818 | + | 1.25685i | 0.195622 | + | 0.0635615i | ||||
\(392\) | −3.56807 | − | 15.1113i | −0.180215 | − | 0.763237i | ||||
\(393\) | −29.8734 | − | 3.75356i | −1.50691 | − | 0.189342i | ||||
\(394\) | 25.0765 | + | 8.91531i | 1.26333 | + | 0.449147i | ||||
\(395\) | 8.85212 | − | 7.00083i | 0.445398 | − | 0.352250i | ||||
\(396\) | −13.5071 | + | 18.9597i | −0.678756 | + | 0.952763i | ||||
\(397\) | 14.0290 | − | 10.1927i | 0.704098 | − | 0.511557i | −0.177167 | − | 0.984181i | \(-0.556693\pi\) |
0.881264 | + | 0.472624i | \(0.156693\pi\) | |||||||
\(398\) | −2.39793 | − | 3.49836i | −0.120197 | − | 0.175357i | ||||
\(399\) | −2.42850 | − | 0.305139i | −0.121577 | − | 0.0152760i | ||||
\(400\) | 15.8441 | + | 12.2051i | 0.792207 | + | 0.610253i | ||||
\(401\) | − | 10.2267i | − | 0.510695i | −0.966849 | − | 0.255348i | \(-0.917810\pi\) | ||
0.966849 | − | 0.255348i | \(-0.0821899\pi\) | |||||||
\(402\) | −14.3695 | − | 27.8800i | −0.716684 | − | 1.39053i | ||||
\(403\) | −34.1893 | − | 47.0575i | −1.70309 | − | 2.34410i | ||||
\(404\) | −7.07403 | − | 2.73576i | −0.351946 | − | 0.136109i | ||||
\(405\) | 17.8194 | − | 9.35251i | 0.885452 | − | 0.464730i | ||||
\(406\) | 3.24150 | − | 9.11751i | 0.160873 | − | 0.452495i | ||||
\(407\) | −19.0474 | −0.944147 | ||||||||
\(408\) | −6.01659 | + | 0.645502i | −0.297866 | + | 0.0319571i | ||||
\(409\) | −4.86517 | + | 14.9735i | −0.240567 | + | 0.740390i | 0.755767 | + | 0.654841i | \(0.227264\pi\) |
−0.996334 | + | 0.0855491i | \(0.972736\pi\) | |||||||
\(410\) | 2.34410 | + | 6.89850i | 0.115767 | + | 0.340693i | ||||
\(411\) | 0.119145 | − | 0.0228109i | 0.00587701 | − | 0.00112518i | ||||
\(412\) | −18.0741 | + | 4.79459i | −0.890449 | + | 0.236212i | ||||
\(413\) | −8.31114 | − | 2.70045i | −0.408964 | − | 0.132881i | ||||
\(414\) | 13.1190 | − | 4.80222i | 0.644764 | − | 0.236016i | ||||
\(415\) | −9.13187 | + | 13.7130i | −0.448266 | + | 0.673145i | ||||
\(416\) | 14.0377 | − | 28.9637i | 0.688255 | − | 1.42006i | ||||
\(417\) | 11.7405 | − | 12.5191i | 0.574934 | − | 0.613065i | ||||
\(418\) | 6.05139 | − | 1.78428i | 0.295983 | − | 0.0872721i | ||||
\(419\) | −5.59286 | − | 4.06345i | −0.273229 | − | 0.198513i | 0.442730 | − | 0.896655i | \(-0.354010\pi\) |
−0.715959 | + | 0.698143i | \(0.754010\pi\) | |||||||
\(420\) | 1.65873 | + | 9.37413i | 0.0809377 | + | 0.457411i | ||||
\(421\) | −0.0259883 | + | 0.0188816i | −0.00126659 | + | 0.000920234i | −0.588418 | − | 0.808557i | \(-0.700249\pi\) |
0.587152 | + | 0.809477i | \(0.300249\pi\) | |||||||
\(422\) | 2.82871 | − | 3.67693i | 0.137699 | − | 0.178990i | ||||
\(423\) | −1.77504 | − | 27.6229i | −0.0863052 | − | 1.34307i | ||||
\(424\) | −13.4080 | + | 15.5801i | −0.651148 | + | 0.756637i | ||||
\(425\) | −3.21048 | + | 5.27585i | −0.155731 | + | 0.255916i | ||||
\(426\) | −0.939380 | − | 5.75736i | −0.0455131 | − | 0.278945i | ||||
\(427\) | −5.68534 | + | 1.84728i | −0.275133 | + | 0.0893961i | ||||
\(428\) | −1.43709 | + | 3.71598i | −0.0694645 | + | 0.179619i | ||||
\(429\) | 33.4939 | − | 18.4426i | 1.61710 | − | 0.890419i | ||||
\(430\) | −22.4305 | + | 16.7604i | −1.08169 | + | 0.808258i | ||||
\(431\) | 12.6570 | + | 9.19585i | 0.609666 | + | 0.442948i | 0.849297 | − | 0.527916i | \(-0.177026\pi\) |
−0.239631 | + | 0.970864i | \(0.577026\pi\) | |||||||
\(432\) | −14.8934 | + | 14.4978i | −0.716560 | + | 0.697526i | ||||
\(433\) | 17.3778 | + | 12.6257i | 0.835125 | + | 0.606754i | 0.921005 | − | 0.389552i | \(-0.127370\pi\) |
−0.0858797 | + | 0.996306i | \(0.527370\pi\) | |||||||
\(434\) | −17.7614 | − | 0.487301i | −0.852575 | − | 0.0233912i | ||||
\(435\) | 8.36364 | − | 19.8746i | 0.401006 | − | 0.952913i | ||||
\(436\) | −5.88997 | − | 4.79402i | −0.282078 | − | 0.229592i | ||||
\(437\) | −3.60085 | − | 1.16999i | −0.172252 | − | 0.0559681i | ||||
\(438\) | 6.18278 | + | 0.949765i | 0.295425 | + | 0.0453815i | ||||
\(439\) | 9.30974 | − | 3.02492i | 0.444330 | − | 0.144371i | −0.0783026 | − | 0.996930i | \(-0.524950\pi\) |
0.522632 | + | 0.852558i | \(0.324950\pi\) | |||||||
\(440\) | −13.5880 | − | 20.4326i | −0.647783 | − | 0.974087i | ||||
\(441\) | 8.80574 | − | 13.9168i | 0.419321 | − | 0.662705i | ||||
\(442\) | 9.36471 | + | 3.32939i | 0.445434 | + | 0.158363i | ||||
\(443\) | −31.2816 | −1.48623 | −0.743117 | − | 0.669162i | \(-0.766653\pi\) | ||||
−0.743117 | + | 0.669162i | \(0.766653\pi\) | |||||||
\(444\) | −16.7321 | − | 3.04218i | −0.794072 | − | 0.144376i | ||||
\(445\) | −9.79712 | − | 26.4294i | −0.464428 | − | 1.25287i | ||||
\(446\) | 25.3694 | − | 32.9766i | 1.20127 | − | 1.56149i | ||||
\(447\) | −11.3327 | − | 20.5815i | −0.536020 | − | 0.973473i | ||||
\(448\) | −4.39783 | − | 8.79355i | −0.207778 | − | 0.415456i | ||||
\(449\) | − | 22.3573i | − | 1.05511i | −0.849522 | − | 0.527553i | \(-0.823110\pi\) | ||
0.849522 | − | 0.527553i | \(-0.176890\pi\) | |||||||
\(450\) | 2.50573 | + | 21.0647i | 0.118121 | + | 0.992999i | ||||
\(451\) | − | 8.93914i | − | 0.420928i | ||||||
\(452\) | 15.8993 | − | 19.5341i | 0.747842 | − | 0.918805i | ||||
\(453\) | −4.81248 | − | 8.74000i | −0.226110 | − | 0.410641i | ||||
\(454\) | −15.6935 | − | 12.0732i | −0.736532 | − | 0.566624i | ||||
\(455\) | 4.22084 | − | 15.0557i | 0.197876 | − | 0.705822i | ||||
\(456\) | 5.60079 | − | 0.600892i | 0.262281 | − | 0.0281393i | ||||
\(457\) | 8.89882 | 0.416269 | 0.208135 | − | 0.978100i | \(-0.433261\pi\) | ||||
0.208135 | + | 0.978100i | \(0.433261\pi\) | |||||||
\(458\) | −10.4648 | + | 29.4347i | −0.488986 | + | 1.37539i | ||||
\(459\) | −4.95350 | − | 4.08116i | −0.231210 | − | 0.190492i | ||||
\(460\) | −0.206607 | + | 14.7246i | −0.00963312 | + | 0.686536i | ||||
\(461\) | 9.82352 | − | 3.19186i | 0.457527 | − | 0.148660i | −0.0711808 | − | 0.997463i | \(-0.522677\pi\) |
0.528708 | + | 0.848804i | \(0.322677\pi\) | |||||||
\(462\) | 1.77340 | − | 11.5445i | 0.0825061 | − | 0.537098i | ||||
\(463\) | 29.6245 | + | 9.62559i | 1.37677 | + | 0.447339i | 0.901606 | − | 0.432559i | \(-0.142389\pi\) |
0.475163 | + | 0.879898i | \(0.342389\pi\) | |||||||
\(464\) | −2.43847 | + | 22.1359i | −0.113203 | + | 1.02764i | ||||
\(465\) | −39.4531 | − | 3.32849i | −1.82959 | − | 0.154355i | ||||
\(466\) | 0.298211 | − | 10.8694i | 0.0138144 | − | 0.503513i | ||||
\(467\) | 16.3829 | + | 11.9028i | 0.758108 | + | 0.550798i | 0.898329 | − | 0.439322i | \(-0.144781\pi\) |
−0.140221 | + | 0.990120i | \(0.544781\pi\) | |||||||
\(468\) | 32.3681 | − | 10.8513i | 1.49622 | − | 0.501604i | ||||
\(469\) | 12.7315 | + | 9.24998i | 0.587886 | + | 0.427124i | ||||
\(470\) | 27.8674 | + | 8.64363i | 1.28543 | + | 0.398701i | ||||
\(471\) | −27.2643 | + | 15.0125i | −1.25627 | + | 0.691737i | ||||
\(472\) | 20.0437 | + | 1.65307i | 0.922585 | + | 0.0760888i | ||||
\(473\) | 32.6729 | − | 10.6161i | 1.50230 | − | 0.488128i | ||||
\(474\) | −12.2017 | + | 1.99085i | −0.560445 | + | 0.0914430i | ||||
\(475\) | 2.98860 | − | 4.91124i | 0.137127 | − | 0.225343i | ||||
\(476\) | 2.55038 | − | 1.64719i | 0.116896 | − | 0.0754988i | ||||
\(477\) | −21.7571 | + | 1.39811i | −0.996191 | + | 0.0640149i | ||||
\(478\) | 33.1077 | + | 25.4702i | 1.51431 | + | 1.16498i | ||||
\(479\) | 27.2744 | − | 19.8160i | 1.24620 | − | 0.905415i | 0.248202 | − | 0.968708i | \(-0.420160\pi\) |
0.997995 | + | 0.0632933i | \(0.0201604\pi\) | |||||||
\(480\) | −8.67291 | − | 20.1192i | −0.395862 | − | 0.918310i | ||||
\(481\) | 22.5983 | + | 16.4186i | 1.03039 | + | 0.748626i | ||||
\(482\) | 2.76191 | + | 9.36700i | 0.125801 | + | 0.426655i | ||||
\(483\) | −4.79484 | + | 5.11285i | −0.218173 | + | 0.232643i | ||||
\(484\) | 2.07849 | + | 7.83529i | 0.0944769 | + | 0.356149i | ||||
\(485\) | 9.35059 | + | 11.8232i | 0.424589 | + | 0.536866i | ||||
\(486\) | −22.0390 | − | 0.530806i | −0.999710 | − | 0.0240779i | ||||
\(487\) | −3.32947 | − | 1.08181i | −0.150873 | − | 0.0490214i | 0.232607 | − | 0.972571i | \(-0.425274\pi\) |
−0.383480 | + | 0.923549i | \(0.625274\pi\) | |||||||
\(488\) | 11.7572 | − | 7.14436i | 0.532224 | − | 0.323410i | ||||
\(489\) | −14.3764 | + | 2.75242i | −0.650122 | + | 0.124469i | ||||
\(490\) | 10.3909 | + | 13.9062i | 0.469415 | + | 0.628218i | ||||
\(491\) | −2.62548 | + | 8.08041i | −0.118486 | + | 0.364664i | −0.992658 | − | 0.120953i | \(-0.961405\pi\) |
0.874172 | + | 0.485617i | \(0.161405\pi\) | |||||||
\(492\) | 1.42773 | − | 7.85255i | 0.0643668 | − | 0.354020i | ||||
\(493\) | −6.87682 | −0.309716 | ||||||||
\(494\) | −8.71753 | − | 3.09930i | −0.392220 | − | 0.139444i | ||||
\(495\) | 5.40415 | − | 25.4595i | 0.242899 | − | 1.14432i | ||||
\(496\) | 40.0401 | − | 8.30191i | 1.79786 | − | 0.372767i | ||||
\(497\) | 1.72037 | + | 2.36789i | 0.0771691 | + | 0.106214i | ||||
\(498\) | 16.0424 | − | 8.26835i | 0.718878 | − | 0.370514i | ||||
\(499\) | − | 32.5279i | − | 1.45615i | −0.685498 | − | 0.728074i | \(-0.740416\pi\) | ||
0.685498 | − | 0.728074i | \(-0.259584\pi\) | |||||||
\(500\) | −21.6846 | − | 5.45701i | −0.969764 | − | 0.244045i | ||||
\(501\) | 20.7248 | + | 2.60405i | 0.925915 | + | 0.116340i | ||||
\(502\) | −16.9123 | + | 11.5924i | −0.754834 | + | 0.517396i | ||||
\(503\) | −30.5719 | + | 22.2118i | −1.36313 | + | 0.990375i | −0.364896 | + | 0.931048i | \(0.618895\pi\) |
−0.998239 | + | 0.0593269i | \(0.981105\pi\) | |||||||
\(504\) | 3.40168 | − | 9.85796i | 0.151523 | − | 0.439109i | ||||
\(505\) | 8.47278 | − | 0.346116i | 0.377034 | − | 0.0154019i | ||||
\(506\) | 6.05234 | − | 17.0237i | 0.269059 | − | 0.756794i | ||||
\(507\) | −33.2942 | − | 4.18338i | −1.47865 | − | 0.185791i | ||||
\(508\) | 0.334876 | − | 6.09828i | 0.0148577 | − | 0.270567i | ||||
\(509\) | 31.4258 | + | 10.2108i | 1.39292 | + | 0.452588i | 0.906895 | − | 0.421356i | \(-0.138446\pi\) |
0.486027 | + | 0.873944i | \(0.338446\pi\) | |||||||
\(510\) | 5.88209 | − | 3.34232i | 0.260463 | − | 0.148000i | ||||
\(511\) | −2.98490 | + | 0.969852i | −0.132044 | + | 0.0429037i | ||||
\(512\) | 14.5010 | + | 17.3701i | 0.640858 | + | 0.767659i | ||||
\(513\) | 4.61117 | + | 3.79911i | 0.203588 | + | 0.167735i | ||||
\(514\) | −9.72794 | − | 14.1922i | −0.429081 | − | 0.625990i | ||||
\(515\) | 16.3980 | − | 12.9686i | 0.722581 | − | 0.571465i | ||||
\(516\) | 30.3970 | − | 4.10725i | 1.33815 | − | 0.180812i | ||||
\(517\) | −28.9610 | − | 21.0414i | −1.27370 | − | 0.925400i | ||||
\(518\) | 8.18438 | − | 2.41321i | 0.359601 | − | 0.106030i | ||||
\(519\) | −17.2803 | + | 18.4264i | −0.758522 | + | 0.808829i | ||||
\(520\) | −1.49151 | + | 35.9544i | −0.0654071 | + | 1.57670i | ||||
\(521\) | −13.6016 | − | 18.7210i | −0.595897 | − | 0.820182i | 0.399428 | − | 0.916765i | \(-0.369209\pi\) |
−0.995325 | + | 0.0965823i | \(0.969209\pi\) | |||||||
\(522\) | −18.5867 | + | 14.5765i | −0.813517 | + | 0.637997i | ||||
\(523\) | 18.4875 | − | 6.00696i | 0.808403 | − | 0.262666i | 0.124482 | − | 0.992222i | \(-0.460273\pi\) |
0.683921 | + | 0.729556i | \(0.260273\pi\) | |||||||
\(524\) | −29.2045 | + | 18.8621i | −1.27580 | + | 0.823993i | ||||
\(525\) | −5.87710 | − | 8.87366i | −0.256498 | − | 0.387278i | ||||
\(526\) | 1.40201 | + | 4.75491i | 0.0611305 | + | 0.207324i | ||||
\(527\) | 3.90201 | + | 12.0091i | 0.169974 | + | 0.523127i | ||||
\(528\) | 2.13337 | + | 26.7955i | 0.0928429 | + | 1.16613i | ||||
\(529\) | 9.83540 | − | 7.14584i | 0.427626 | − | 0.310689i | ||||
\(530\) | 6.80815 | − | 21.9497i | 0.295727 | − | 0.953435i | ||||
\(531\) | 13.6193 | + | 16.4181i | 0.591029 | + | 0.712486i | ||||
\(532\) | −2.37412 | + | 1.53335i | −0.102931 | + | 0.0664793i | ||||
\(533\) | −7.70542 | + | 10.6056i | −0.333759 | + | 0.459380i | ||||
\(534\) | −4.68818 | + | 30.5191i | −0.202877 | + | 1.32069i | ||||
\(535\) | −0.181814 | − | 4.45074i | −0.00786052 | − | 0.192422i | ||||
\(536\) | −33.4083 | − | 13.9851i | −1.44302 | − | 0.604064i | ||||
\(537\) | 7.46712 | − | 15.8961i | 0.322230 | − | 0.685966i | ||||
\(538\) | 0.00277491 | − | 0.101141i | 0.000119635 | − | 0.00436051i | ||||
\(539\) | −6.58164 | − | 20.2562i | −0.283491 | − | 0.872497i | ||||
\(540\) | 8.81355 | − | 21.5017i | 0.379275 | − | 0.925284i | ||||
\(541\) | −11.0215 | + | 33.9206i | −0.473850 | + | 1.45836i | 0.373653 | + | 0.927569i | \(0.378105\pi\) |
−0.847503 | + | 0.530791i | \(0.821895\pi\) | |||||||
\(542\) | 19.3612 | + | 6.88339i | 0.831635 | + | 0.295667i | ||||
\(543\) | 5.44572 | + | 0.684250i | 0.233698 | + | 0.0293640i | ||||
\(544\) | −4.84125 | + | 5.03822i | −0.207567 | + | 0.216012i | ||||
\(545\) | 8.17555 | + | 2.29200i | 0.350202 | + | 0.0981786i | ||||
\(546\) | −12.0552 | + | 12.1680i | −0.515915 | + | 0.520742i | ||||
\(547\) | 18.3132 | + | 25.2059i | 0.783015 | + | 1.07773i | 0.994943 | + | 0.100442i | \(0.0320258\pi\) |
−0.211928 | + | 0.977285i | \(0.567974\pi\) | |||||||
\(548\) | 0.0884243 | − | 0.108639i | 0.00377730 | − | 0.00464082i | ||||
\(549\) | 14.1386 | + | 3.61000i | 0.603422 | + | 0.154071i | ||||
\(550\) | 23.0364 | + | 14.8990i | 0.982277 | + | 0.635295i | ||||
\(551\) | 6.40157 | 0.272716 | ||||||||
\(552\) | 8.03560 | − | 13.9877i | 0.342018 | − | 0.595356i | ||||
\(553\) | 5.01833 | − | 3.64603i | 0.213401 | − | 0.155045i | ||||
\(554\) | −2.59589 | − | 1.99705i | −0.110289 | − | 0.0848466i | ||||
\(555\) | 18.5131 | − | 4.33459i | 0.785838 | − | 0.183993i | ||||
\(556\) | 1.08664 | − | 19.7883i | 0.0460838 | − | 0.839211i | ||||
\(557\) | − | 9.62827i | − | 0.407963i | −0.978975 | − | 0.203981i | \(-0.934612\pi\) | ||
0.978975 | − | 0.203981i | \(-0.0653882\pi\) | |||||||
\(558\) | 36.0017 | + | 24.1874i | 1.52407 | + | 1.02393i | ||||
\(559\) | −47.9148 | − | 15.5685i | −2.02658 | − | 0.658476i | ||||
\(560\) | 8.42724 | + | 7.05803i | 0.356116 | + | 0.298256i | ||||
\(561\) | −8.15243 | + | 1.56082i | −0.344196 | + | 0.0658979i | ||||
\(562\) | −0.986095 | + | 35.9417i | −0.0415959 | + | 1.51611i | ||||
\(563\) | 4.47722 | − | 13.7795i | 0.188692 | − | 0.580735i | −0.811300 | − | 0.584630i | \(-0.801240\pi\) |
0.999992 | + | 0.00389491i | \(0.00123979\pi\) | |||||||
\(564\) | −22.0800 | − | 23.1093i | −0.929736 | − | 0.973075i | ||||
\(565\) | −7.60142 | + | 27.1142i | −0.319794 | + | 1.14070i | ||||
\(566\) | −1.04759 | + | 38.1833i | −0.0440337 | + | 1.60496i | ||||
\(567\) | 9.99560 | − | 4.73632i | 0.419776 | − | 0.198907i | ||||
\(568\) | −5.10562 | − | 4.39381i | −0.214227 | − | 0.184360i | ||||
\(569\) | −17.5865 | + | 24.2058i | −0.737266 | + | 1.01476i | 0.261506 | + | 0.965202i | \(0.415781\pi\) |
−0.998771 | + | 0.0495571i | \(0.984219\pi\) | |||||||
\(570\) | −5.47559 | + | 3.11133i | −0.229347 | + | 0.130319i | ||||
\(571\) | −27.4754 | − | 37.8167i | −1.14981 | − | 1.58258i | −0.743340 | − | 0.668914i | \(-0.766760\pi\) |
−0.406470 | − | 0.913664i | \(-0.633240\pi\) | |||||||
\(572\) | 15.9252 | − | 41.1787i | 0.665865 | − | 1.72177i | ||||
\(573\) | 1.57813 | + | 8.24286i | 0.0659274 | + | 0.344351i | ||||
\(574\) | 1.13254 | + | 3.84100i | 0.0472713 | + | 0.160320i | ||||
\(575\) | −6.34793 | − | 15.1912i | −0.264727 | − | 0.633518i | ||||
\(576\) | −2.40563 | + | 23.8791i | −0.100234 | + | 0.994964i | ||||
\(577\) | −5.76476 | − | 17.7421i | −0.239990 | − | 0.738613i | −0.996420 | − | 0.0845388i | \(-0.973058\pi\) |
0.756430 | − | 0.654074i | \(-0.226942\pi\) | |||||||
\(578\) | 17.3451 | + | 13.3438i | 0.721461 | + | 0.555030i | ||||
\(579\) | 29.3348 | − | 16.1526i | 1.21911 | − | 0.671277i | ||||
\(580\) | −7.36106 | − | 23.7855i | −0.305651 | − | 0.987637i | ||||
\(581\) | −5.32254 | + | 7.32584i | −0.220816 | + | 0.303927i | ||||
\(582\) | −2.65906 | − | 16.2971i | −0.110222 | − | 0.675538i | ||||
\(583\) | −16.5732 | + | 22.8111i | −0.686394 | + | 0.944740i | ||||
\(584\) | 6.17272 | − | 3.75090i | 0.255429 | − | 0.155213i | ||||
\(585\) | −28.3574 | + | 25.5474i | −1.17243 | + | 1.05626i | ||||
\(586\) | −16.7463 | − | 24.4314i | −0.691784 | − | 1.00925i | ||||
\(587\) | −6.80985 | + | 20.9586i | −0.281073 | + | 0.865053i | 0.706476 | + | 0.707737i | \(0.250284\pi\) |
−0.987548 | + | 0.157316i | \(0.949716\pi\) | |||||||
\(588\) | −2.54637 | − | 18.8452i | −0.105011 | − | 0.777162i | ||||
\(589\) | −3.63235 | − | 11.1792i | −0.149668 | − | 0.460631i | ||||
\(590\) | −21.2900 | + | 7.23432i | −0.876497 | + | 0.297832i | ||||
\(591\) | 29.5026 | + | 13.8587i | 1.21357 | + | 0.570072i | ||||
\(592\) | −17.0553 | + | 9.73359i | −0.700969 | + | 0.400048i | ||||
\(593\) | 35.4019i | 1.45378i | 0.686753 | + | 0.726891i | \(0.259036\pi\) | ||||
−0.686753 | + | 0.726891i | \(0.740964\pi\) | |||||||
\(594\) | −18.7260 | + | 21.4990i | −0.768337 | + | 0.882114i | ||||
\(595\) | −1.88144 | + | 2.82529i | −0.0771315 | + | 0.115826i | ||||
\(596\) | −25.3037 | − | 9.78579i | −1.03648 | − | 0.400842i | ||||
\(597\) | −2.50552 | − | 4.55030i | −0.102544 | − | 0.186232i | ||||
\(598\) | −21.8548 | + | 14.9802i | −0.893709 | + | 0.612587i | ||||
\(599\) | −25.3046 | −1.03392 | −0.516958 | − | 0.856010i | \(-0.672936\pi\) | ||||
−0.516958 | + | 0.856010i | \(0.672936\pi\) | |||||||
\(600\) | 17.8566 | + | 16.7672i | 0.728994 | + | 0.684520i | ||||
\(601\) | −16.9777 | −0.692535 | −0.346267 | − | 0.938136i | \(-0.612551\pi\) | ||||
−0.346267 | + | 0.938136i | \(0.612551\pi\) | |||||||
\(602\) | −12.6940 | + | 8.70103i | −0.517370 | + | 0.354628i | ||||
\(603\) | −14.1891 | − | 35.6978i | −0.577824 | − | 1.45373i | ||||
\(604\) | −10.7453 | − | 4.15556i | −0.437220 | − | 0.169088i | ||||
\(605\) | −5.62199 | − | 7.10866i | −0.228566 | − | 0.289008i | ||||
\(606\) | −8.29629 | − | 4.17862i | −0.337014 | − | 0.169745i | ||||
\(607\) | − | 44.7939i | − | 1.81813i | −0.416657 | − | 0.909064i | \(-0.636798\pi\) | ||
0.416657 | − | 0.909064i | \(-0.363202\pi\) | |||||||
\(608\) | 4.50668 | − | 4.69003i | 0.182770 | − | 0.190206i | ||||
\(609\) | 5.03888 | − | 10.7268i | 0.204186 | − | 0.434672i | ||||
\(610\) | −8.87352 | + | 12.5640i | −0.359278 | + | 0.508700i | ||||
\(611\) | 16.2226 | + | 49.9280i | 0.656295 | + | 2.01987i | ||||
\(612\) | −7.41076 | + | 0.0690202i | −0.299562 | + | 0.00278998i | ||||
\(613\) | −3.17062 | + | 9.75817i | −0.128060 | + | 0.394129i | −0.994446 | − | 0.105246i | \(-0.966437\pi\) |
0.866386 | + | 0.499375i | \(0.166437\pi\) | |||||||
\(614\) | 19.0254 | + | 27.7564i | 0.767804 | + | 1.12016i | ||||
\(615\) | 2.03426 | + | 8.68838i | 0.0820294 | + | 0.350349i | ||||
\(616\) | −7.00369 | − | 11.5257i | −0.282187 | − | 0.464384i | ||||
\(617\) | −8.96812 | + | 12.3436i | −0.361043 | + | 0.496933i | −0.950439 | − | 0.310911i | \(-0.899366\pi\) |
0.589396 | + | 0.807844i | \(0.299366\pi\) | |||||||
\(618\) | −22.6029 | + | 3.68793i | −0.909224 | + | 0.148350i | ||||
\(619\) | 3.06471 | − | 4.21821i | 0.123181 | − | 0.169544i | −0.742973 | − | 0.669322i | \(-0.766585\pi\) |
0.866154 | + | 0.499777i | \(0.166585\pi\) | |||||||
\(620\) | −37.3603 | + | 26.3510i | −1.50043 | + | 1.05828i | ||||
\(621\) | 16.5640 | − | 4.28840i | 0.664689 | − | 0.172087i | ||||
\(622\) | −4.67436 | − | 3.59605i | −0.187425 | − | 0.144188i | ||||
\(623\) | −4.78733 | − | 14.7339i | −0.191800 | − | 0.590301i | ||||
\(624\) | 20.5663 | − | 33.6297i | 0.823311 | − | 1.34627i | ||||
\(625\) | 24.6674 | − | 4.06464i | 0.986694 | − | 0.162585i | ||||
\(626\) | −4.02209 | − | 13.6409i | −0.160755 | − | 0.545200i | ||||
\(627\) | 7.58903 | − | 1.45295i | 0.303077 | − | 0.0580254i | ||||
\(628\) | −12.9632 | + | 33.5198i | −0.517288 | + | 1.33758i | ||||
\(629\) | −3.56428 | − | 4.90581i | −0.142117 | − | 0.195608i | ||||
\(630\) | 0.903502 | + | 11.6242i | 0.0359964 | + | 0.463120i | ||||
\(631\) | −16.4434 | + | 22.6324i | −0.654601 | + | 0.900981i | −0.999288 | − | 0.0377370i | \(-0.987985\pi\) |
0.344687 | + | 0.938718i | \(0.387985\pi\) | |||||||
\(632\) | −9.31192 | + | 10.8205i | −0.370408 | + | 0.430416i | ||||
\(633\) | 3.88664 | − | 4.14441i | 0.154480 | − | 0.164726i | ||||
\(634\) | −0.749198 | + | 27.3071i | −0.0297544 | + | 1.08451i | ||||
\(635\) | 2.37339 | + | 6.40261i | 0.0941850 | + | 0.254080i | ||||
\(636\) | −18.2020 | + | 17.3913i | −0.721756 | + | 0.689610i | ||||
\(637\) | −9.65197 | + | 29.7057i | −0.382425 | + | 1.17698i | ||||
\(638\) | −0.837805 | + | 30.5367i | −0.0331690 | + | 1.20896i | ||||
\(639\) | −0.458161 | − | 7.12984i | −0.0181246 | − | 0.282052i | ||||
\(640\) | −22.6083 | − | 11.3519i | −0.893671 | − | 0.448722i | ||||
\(641\) | −39.4188 | − | 12.8080i | −1.55695 | − | 0.505884i | −0.600959 | − | 0.799280i | \(-0.705215\pi\) |
−0.955991 | + | 0.293396i | \(0.905215\pi\) | |||||||
\(642\) | −2.19503 | + | 4.35804i | −0.0866308 | + | 0.171998i | ||||
\(643\) | 19.4002i | 0.765068i | 0.923941 | + | 0.382534i | \(0.124949\pi\) | ||||
−0.923941 | + | 0.382534i | \(0.875051\pi\) | |||||||
\(644\) | −0.443786 | + | 8.08158i | −0.0174876 | + | 0.318459i | ||||
\(645\) | −29.3405 | + | 17.7536i | −1.15528 | + | 0.699047i | ||||
\(646\) | 1.59193 | + | 1.22469i | 0.0626337 | + | 0.0481849i | ||||
\(647\) | −25.7208 | + | 18.6872i | −1.01119 | + | 0.734672i | −0.964458 | − | 0.264236i | \(-0.914880\pi\) |
−0.0467306 | + | 0.998908i | \(0.514880\pi\) | |||||||
\(648\) | −19.8835 | + | 15.8948i | −0.781098 | + | 0.624409i | ||||
\(649\) | 27.5878 | 1.08292 | ||||||||
\(650\) | −14.4882 | − | 37.5336i | −0.568275 | − | 1.47219i | ||||
\(651\) | −21.5916 | − | 2.71296i | −0.846242 | − | 0.106329i | ||||
\(652\) | −10.6695 | + | 13.1086i | −0.417850 | + | 0.513374i | ||||
\(653\) | −6.47169 | − | 8.90751i | −0.253257 | − | 0.348578i | 0.663392 | − | 0.748272i | \(-0.269116\pi\) |
−0.916648 | + | 0.399694i | \(0.869116\pi\) | |||||||
\(654\) | −6.60747 | − | 6.54622i | −0.258372 | − | 0.255977i | ||||
\(655\) | 21.5445 | − | 32.3525i | 0.841812 | − | 1.26412i | ||||
\(656\) | −4.56806 | − | 8.00421i | −0.178353 | − | 0.312512i | ||||
\(657\) | 7.42301 | + | 1.89531i | 0.289599 | + | 0.0739431i | ||||
\(658\) | 15.1099 | + | 5.37195i | 0.589045 | + | 0.209420i | ||||
\(659\) | −2.86099 | + | 8.80524i | −0.111449 | + | 0.343003i | −0.991190 | − | 0.132449i | \(-0.957716\pi\) |
0.879741 | + | 0.475453i | \(0.157716\pi\) | |||||||
\(660\) | −14.1250 | − | 26.5268i | −0.549816 | − | 1.03255i | ||||
\(661\) | −5.27672 | − | 16.2401i | −0.205240 | − | 0.631665i | −0.999703 | − | 0.0243526i | \(-0.992248\pi\) |
0.794463 | − | 0.607313i | \(-0.207752\pi\) | |||||||
\(662\) | 0.690354 | − | 25.1624i | 0.0268314 | − | 0.977963i | ||||
\(663\) | 11.0176 | + | 5.17550i | 0.427890 | + | 0.201000i | ||||
\(664\) | 8.04717 | − | 19.2235i | 0.312291 | − | 0.746017i | ||||
\(665\) | 1.75141 | − | 2.63004i | 0.0679169 | − | 0.101988i | ||||
\(666\) | −20.0322 | − | 5.70437i | −0.776232 | − | 0.221040i | ||||
\(667\) | 10.7757 | − | 14.8315i | 0.417237 | − | 0.574278i | ||||
\(668\) | 20.2607 | − | 13.0856i | 0.783911 | − | 0.506298i | ||||
\(669\) | 34.8574 | − | 37.1693i | 1.34767 | − | 1.43705i | ||||
\(670\) | 40.4886 | − | 0.542520i | 1.56421 | − | 0.0209594i | ||||
\(671\) | 15.2676 | − | 11.0926i | 0.589400 | − | 0.428224i | ||||
\(672\) | −4.31152 | − | 11.2433i | −0.166320 | − | 0.433720i | ||||
\(673\) | −0.743148 | − | 2.28717i | −0.0286462 | − | 0.0881641i | 0.935711 | − | 0.352767i | \(-0.114759\pi\) |
−0.964357 | + | 0.264603i | \(0.914759\pi\) | |||||||
\(674\) | −0.548552 | − | 1.86041i | −0.0211294 | − | 0.0716603i | ||||
\(675\) | 0.541210 | + | 25.9751i | 0.0208312 | + | 0.999783i | ||||
\(676\) | −32.5487 | + | 21.0220i | −1.25187 | + | 0.808537i | ||||
\(677\) | −14.7796 | + | 4.80217i | −0.568025 | + | 0.184562i | −0.578929 | − | 0.815378i | \(-0.696529\pi\) |
0.0109039 | + | 0.999941i | \(0.496529\pi\) | |||||||
\(678\) | 21.7105 | − | 21.9136i | 0.833786 | − | 0.841588i | ||||
\(679\) | 4.86978 | + | 6.70268i | 0.186885 | + | 0.257225i | ||||
\(680\) | 2.71990 | − | 7.32318i | 0.104303 | − | 0.280831i | ||||
\(681\) | −17.6887 | − | 16.5886i | −0.677834 | − | 0.635675i | ||||
\(682\) | 53.8024 | − | 15.8639i | 2.06020 | − | 0.607461i | ||||
\(683\) | −17.7854 | − | 12.9218i | −0.680539 | − | 0.494440i | 0.192998 | − | 0.981199i | \(-0.438179\pi\) |
−0.873536 | + | 0.486759i | \(0.838179\pi\) | |||||||
\(684\) | 6.89861 | − | 0.0642503i | 0.263775 | − | 0.00245667i | ||||
\(685\) | −0.0422753 | + | 0.150796i | −0.00161526 | + | 0.00576161i | ||||
\(686\) | 12.2730 | + | 17.9052i | 0.468585 | + | 0.683623i | ||||
\(687\) | −16.2673 | + | 34.6300i | −0.620637 | + | 1.32122i | ||||
\(688\) | 23.8307 | − | 26.2022i | 0.908537 | − | 0.998950i | ||||
\(689\) | 39.3257 | − | 12.7777i | 1.49819 | − | 0.486792i | ||||
\(690\) | −2.00852 | + | 17.9234i | −0.0764629 | + | 0.682333i | ||||
\(691\) | −10.1931 | − | 3.31195i | −0.387766 | − | 0.125993i | 0.108645 | − | 0.994081i | \(-0.465349\pi\) |
−0.496410 | + | 0.868088i | \(0.665349\pi\) | |||||||
\(692\) | −1.59938 | + | 29.1255i | −0.0607992 | + | 1.10719i | ||||
\(693\) | 3.53892 | − | 13.8602i | 0.134432 | − | 0.526507i | ||||
\(694\) | −1.13495 | + | 3.19232i | −0.0430821 | + | 0.121179i | ||||
\(695\) | 7.70140 | + | 20.7758i | 0.292131 | + | 0.788073i | ||||
\(696\) | −5.61317 | + | 26.6910i | −0.212767 | + | 1.01172i | ||||
\(697\) | 2.30234 | − | 1.67275i | 0.0872075 | − | 0.0633599i | ||||
\(698\) | −42.4609 | + | 29.1046i | −1.60717 | + | 1.10162i | ||||
\(699\) | 1.66024 | − | 13.2133i | 0.0627960 | − | 0.499773i | ||||
\(700\) | −11.7860 | − | 3.48326i | −0.445469 | − | 0.131655i | ||||
\(701\) | 19.3564i | 0.731081i | 0.930796 | + | 0.365540i | \(0.119116\pi\) | ||||
−0.930796 | + | 0.365540i | \(0.880884\pi\) | |||||||
\(702\) | 40.7488 | − | 9.36533i | 1.53796 | − | 0.353471i | ||||
\(703\) | 3.31796 | + | 4.56678i | 0.125139 | + | 0.172239i | ||||
\(704\) | 21.7826 | + | 22.1116i | 0.820961 | + | 0.833361i | ||||
\(705\) | 32.9369 | + | 13.8605i | 1.24048 | + | 0.522018i | ||||
\(706\) | 20.6129 | + | 7.32842i | 0.775778 | + | 0.275809i | ||||
\(707\) | 4.66072 | 0.175284 | ||||||||
\(708\) | 24.2344 | + | 4.40622i | 0.910785 | + | 0.165596i | ||||
\(709\) | 4.73586 | − | 14.5755i | 0.177859 | − | 0.547393i | −0.821894 | − | 0.569641i | \(-0.807082\pi\) |
0.999752 | + | 0.0222477i | \(0.00708225\pi\) | |||||||
\(710\) | 7.19295 | + | 2.23104i | 0.269947 | + | 0.0837294i | ||||
\(711\) | −15.1105 | + | 0.970993i | −0.566687 | + | 0.0364151i | ||||
\(712\) | 18.5150 | + | 30.4695i | 0.693879 | + | 1.14189i | ||||
\(713\) | −32.0149 | − | 10.4023i | −1.19897 | − | 0.389568i | ||||
\(714\) | 3.30522 | − | 1.70353i | 0.123695 | − | 0.0637529i | ||||
\(715\) | 2.01478 | + | 49.3210i | 0.0753484 | + | 1.84450i | ||||
\(716\) | −5.19976 | − | 19.6015i | −0.194324 | − | 0.732543i | ||||
\(717\) | 37.3170 | + | 34.9960i | 1.39363 | + | 1.30695i | ||||
\(718\) | −9.78668 | − | 33.1915i | −0.365236 | − | 1.23870i | ||||
\(719\) | −16.8458 | − | 12.2392i | −0.628244 | − | 0.456446i | 0.227547 | − | 0.973767i | \(-0.426929\pi\) |
−0.855791 | + | 0.517321i | \(0.826929\pi\) | |||||||
\(720\) | −8.17132 | − | 25.5584i | −0.304527 | − | 0.952504i | ||||
\(721\) | 9.29613 | − | 6.75404i | 0.346206 | − | 0.251533i | ||||
\(722\) | 19.8151 | + | 15.2440i | 0.737441 | + | 0.567323i | ||||
\(723\) | 2.24904 | + | 11.7471i | 0.0836427 | + | 0.436880i | ||||
\(724\) | 5.32379 | − | 3.43843i | 0.197857 | − | 0.127788i | ||||
\(725\) | 18.1447 | + | 21.1112i | 0.673879 | + | 0.784052i | ||||
\(726\) | 1.59875 | + | 9.79856i | 0.0593351 | + | 0.363659i | ||||
\(727\) | −17.4446 | + | 5.66809i | −0.646984 | + | 0.210218i | −0.614084 | − | 0.789241i | \(-0.710474\pi\) |
−0.0329001 | + | 0.999459i | \(0.510474\pi\) | |||||||
\(728\) | −1.62567 | + | 19.7114i | −0.0602514 | + | 0.730555i | ||||
\(729\) | −26.8005 | − | 3.27632i | −0.992610 | − | 0.121345i | ||||
\(730\) | −4.65874 | + | 6.59628i | −0.172428 | + | 0.244139i | ||||
\(731\) | 8.84822 | + | 6.42861i | 0.327263 | + | 0.237771i | ||||
\(732\) | 15.1834 | − | 7.30574i | 0.561196 | − | 0.270028i | ||||
\(733\) | −18.0256 | − | 13.0963i | −0.665790 | − | 0.483724i | 0.202824 | − | 0.979215i | \(-0.434988\pi\) |
−0.868613 | + | 0.495491i | \(0.834988\pi\) | |||||||
\(734\) | −0.200574 | + | 7.31064i | −0.00740334 | + | 0.269841i | ||||
\(735\) | 11.0067 | + | 18.1902i | 0.405988 | + | 0.670956i | ||||
\(736\) | −3.28006 | − | 18.3360i | −0.120905 | − | 0.675875i | ||||
\(737\) | −47.2489 | − | 15.3521i | −1.74044 | − | 0.565502i | ||||
\(738\) | 2.67711 | − | 9.40130i | 0.0985459 | − | 0.346067i | ||||
\(739\) | 22.6043 | − | 7.34458i | 0.831512 | − | 0.270175i | 0.137830 | − | 0.990456i | \(-0.455987\pi\) |
0.693682 | + | 0.720281i | \(0.255987\pi\) | |||||||
\(740\) | 13.1529 | − | 17.5794i | 0.483510 | − | 0.646230i | ||||
\(741\) | −10.2562 | − | 4.81782i | −0.376772 | − | 0.176987i | ||||
\(742\) | 4.23121 | − | 11.9013i | 0.155333 | − | 0.436910i | ||||
\(743\) | 3.10386 | 0.113869 | 0.0569347 | − | 0.998378i | \(-0.481867\pi\) | ||||
0.0569347 | + | 0.998378i | \(0.481867\pi\) | |||||||
\(744\) | 49.7962 | − | 5.34248i | 1.82562 | − | 0.195865i | ||||
\(745\) | 30.3071 | − | 1.23805i | 1.11036 | − | 0.0453587i | ||||
\(746\) | 25.9299 | + | 19.9483i | 0.949363 | + | 0.730357i | ||||
\(747\) | 20.5409 | − | 8.16456i | 0.751551 | − | 0.298725i | ||||
\(748\) | −6.05037 | + | 7.43354i | −0.221223 | + | 0.271797i | ||||
\(749\) | − | 2.44827i | − | 0.0894579i | ||||||
\(750\) | −25.7807 | − | 9.23868i | −0.941380 | − | 0.337349i | ||||
\(751\) | 16.8390i | 0.614463i | 0.951635 | + | 0.307231i | \(0.0994026\pi\) | ||||
−0.951635 | + | 0.307231i | \(0.900597\pi\) | |||||||
\(752\) | −36.6845 | − | 4.04112i | −1.33775 | − | 0.147365i | ||||
\(753\) | −21.9978 | + | 12.1126i | −0.801644 | + | 0.441407i | ||||
\(754\) | 27.3162 | − | 35.5073i | 0.994799 | − | 1.29310i | ||||
\(755\) | 12.8700 | − | 0.525743i | 0.468387 | − | 0.0191337i | ||||
\(756\) | 5.32245 | − | 11.6102i | 0.193576 | − | 0.422260i | ||||
\(757\) | 35.8891 | 1.30441 | 0.652206 | − | 0.758041i | \(-0.273844\pi\) | ||||
0.652206 | + | 0.758041i | \(0.273844\pi\) | |||||||
\(758\) | 15.2249 | + | 5.41284i | 0.552994 | + | 0.196603i | ||||
\(759\) | 9.40828 | − | 20.0284i | 0.341499 | − | 0.726986i | ||||
\(760\) | −2.53193 | + | 6.81708i | −0.0918426 | + | 0.247282i | ||||
\(761\) | 2.76654 | − | 0.898904i | 0.100287 | − | 0.0325852i | −0.258444 | − | 0.966026i | \(-0.583210\pi\) |
0.358731 | + | 0.933441i | \(0.383210\pi\) | |||||||
\(762\) | 1.13573 | − | 7.39337i | 0.0411431 | − | 0.267833i | ||||
\(763\) | 4.43831 | + | 1.44209i | 0.160678 | + | 0.0522073i | ||||
\(764\) | 7.51599 | + | 6.11748i | 0.271919 | + | 0.221323i | ||||
\(765\) | 7.56855 | − | 3.37227i | 0.273641 | − | 0.121925i | ||||
\(766\) | −3.29496 | − | 0.0904003i | −0.119052 | − | 0.00326630i | ||||
\(767\) | −32.7308 | − | 23.7803i | −1.18184 | − | 0.858659i | ||||
\(768\) | 15.6032 | + | 22.9028i | 0.563033 | + | 0.826434i | ||||
\(769\) | −34.2245 | − | 24.8656i | −1.23417 | − | 0.896675i | −0.236972 | − | 0.971517i | \(-0.576155\pi\) |
−0.997195 | + | 0.0748416i | \(0.976155\pi\) | |||||||
\(770\) | 12.3166 | + | 8.69879i | 0.443858 | + | 0.313483i | ||||
\(771\) | −10.1644 | − | 18.4597i | −0.366062 | − | 0.664810i | ||||
\(772\) | 13.9477 | − | 36.0654i | 0.501988 | − | 1.29802i | ||||
\(773\) | 19.9734 | − | 6.48976i | 0.718395 | − | 0.233421i | 0.0730675 | − | 0.997327i | \(-0.476721\pi\) |
0.645327 | + | 0.763906i | \(0.276721\pi\) | |||||||
\(774\) | 37.5415 | − | 1.37998i | 1.34940 | − | 0.0496024i | ||||
\(775\) | 26.5714 | − | 43.6654i | 0.954475 | − | 1.56851i | ||||
\(776\) | −14.4523 | − | 12.4374i | −0.518806 | − | 0.446476i | ||||
\(777\) | 10.2640 | − | 1.96509i | 0.368219 | − | 0.0704972i | ||||
\(778\) | −17.1394 | + | 22.2788i | −0.614477 | + | 0.798734i | ||||
\(779\) | −2.14323 | + | 1.55715i | −0.0767892 | + | 0.0557906i | ||||
\(780\) | −6.10748 | + | 43.6476i | −0.218683 | + | 1.56283i | ||||
\(781\) | −7.47523 | − | 5.43107i | −0.267485 | − | 0.194339i | ||||
\(782\) | 5.51712 | − | 1.62675i | 0.197292 | − | 0.0581726i | ||||
\(783\) | −24.3947 | + | 15.5502i | −0.871795 | + | 0.555718i | ||||
\(784\) | −16.2446 | − | 14.7743i | −0.580163 | − | 0.527654i | ||||
\(785\) | −1.64004 | − | 40.1477i | −0.0585357 | − | 1.43293i | ||||
\(786\) | −37.8483 | + | 19.5072i | −1.35000 | + | 0.695798i | ||||
\(787\) | 21.3540 | + | 6.93832i | 0.761186 | + | 0.247324i | 0.663788 | − | 0.747921i | \(-0.268948\pi\) |
0.0973986 | + | 0.995245i | \(0.468948\pi\) | |||||||
\(788\) | 36.3798 | − | 9.65059i | 1.29598 | − | 0.343788i | ||||
\(789\) | 1.14167 | + | 5.96312i | 0.0406444 | + | 0.212293i | ||||
\(790\) | 4.72830 | − | 15.2442i | 0.168225 | − | 0.542365i | ||||
\(791\) | −4.78270 | + | 14.7196i | −0.170053 | + | 0.523370i | ||||
\(792\) | −0.596368 | + | 32.9161i | −0.0211910 | + | 1.16962i | ||||
\(793\) | −27.6755 | −0.982786 | ||||||||
\(794\) | 8.21504 | − | 23.1068i | 0.291541 | − | 0.820029i | ||||
\(795\) | 10.9173 | − | 25.9427i | 0.387195 | − | 0.920094i | ||||
\(796\) | −5.59432 | − | 2.16351i | −0.198285 | − | 0.0766836i | ||||
\(797\) | −12.4099 | − | 17.0808i | −0.439582 | − | 0.605033i | 0.530537 | − | 0.847662i | \(-0.321990\pi\) |
−0.970119 | + | 0.242629i | \(0.921990\pi\) | |||||||
\(798\) | −3.07680 | + | 1.58580i | −0.108918 | + | 0.0561366i | ||||
\(799\) | − | 11.3965i | − | 0.403180i | ||||||
\(800\) | 28.2407 | + | 1.56869i | 0.998461 | + | 0.0554617i | ||||
\(801\) | −9.35552 | + | 36.6411i | −0.330561 | + | 1.29465i | ||||
\(802\) | −8.17686 | − | 11.9293i | −0.288735 | − | 0.421238i | ||||
\(803\) | 8.01575 | − | 5.82378i | 0.282870 | − | 0.205517i | ||||
\(804\) | −39.0536 | − | 21.0324i | −1.37732 | − | 0.741756i | ||||
\(805\) | −3.14527 | − | 8.48490i | −0.110856 | − | 0.299053i | ||||
\(806\) | −77.5068 | − | 27.5556i | −2.73006 | − | 0.970605i | ||||
\(807\) | 0.0154488 | − | 0.122952i | 0.000543823 | − | 0.00432812i | ||||
\(808\) | −10.4392 | + | 2.46489i | −0.367250 | + | 0.0867146i | ||||
\(809\) | 27.2832 | + | 8.86483i | 0.959225 | + | 0.311671i | 0.746458 | − | 0.665432i | \(-0.231753\pi\) |
0.212766 | + | 0.977103i | \(0.431753\pi\) | |||||||
\(810\) | 13.3082 | − | 25.1573i | 0.467603 | − | 0.883939i | ||||
\(811\) | 10.1971 | − | 3.31323i | 0.358067 | − | 0.116343i | −0.124459 | − | 0.992225i | \(-0.539719\pi\) |
0.482526 | + | 0.875882i | \(0.339719\pi\) | |||||||
\(812\) | −3.50884 | − | 13.2273i | −0.123136 | − | 0.464186i | ||||
\(813\) | 22.7786 | + | 10.7001i | 0.798879 | + | 0.375271i | ||||
\(814\) | −22.2187 | + | 15.2296i | −0.778764 | + | 0.533798i | ||||
\(815\) | 5.10105 | − | 18.1954i | 0.178682 | − | 0.637357i | ||||
\(816\) | −6.50218 | + | 5.56362i | −0.227622 | + | 0.194765i | ||||
\(817\) | −8.23673 | − | 5.98434i | −0.288167 | − | 0.209365i | ||||
\(818\) | 6.29705 | + | 21.3564i | 0.220171 | + | 0.746709i | ||||
\(819\) | −16.1460 | + | 13.3936i | −0.564187 | + | 0.468010i | ||||
\(820\) | 8.25015 | + | 6.17278i | 0.288108 | + | 0.215563i | ||||
\(821\) | −7.98107 | − | 10.9850i | −0.278541 | − | 0.383379i | 0.646709 | − | 0.762737i | \(-0.276145\pi\) |
−0.925250 | + | 0.379358i | \(0.876145\pi\) | |||||||
\(822\) | 0.120743 | − | 0.121873i | 0.00421140 | − | 0.00425080i | ||||
\(823\) | 34.4610 | − | 11.1971i | 1.20123 | − | 0.390305i | 0.361020 | − | 0.932558i | \(-0.382429\pi\) |
0.840215 | + | 0.542253i | \(0.182429\pi\) | |||||||
\(824\) | −17.2497 | + | 20.0443i | −0.600923 | + | 0.698275i | ||||
\(825\) | 26.3021 | + | 20.9090i | 0.915721 | + | 0.727957i | ||||
\(826\) | −11.8540 | + | 3.49523i | −0.412455 | + | 0.121615i | ||||
\(827\) | 3.84642 | + | 11.8381i | 0.133753 | + | 0.411650i | 0.995394 | − | 0.0958685i | \(-0.0305628\pi\) |
−0.861641 | + | 0.507519i | \(0.830563\pi\) | |||||||
\(828\) | 11.4635 | − | 16.0912i | 0.398385 | − | 0.559209i | ||||
\(829\) | −20.5223 | + | 14.9104i | −0.712771 | + | 0.517858i | −0.884066 | − | 0.467362i | \(-0.845205\pi\) |
0.171296 | + | 0.985220i | \(0.445205\pi\) | |||||||
\(830\) | 0.312172 | + | 23.2976i | 0.0108356 | + | 0.808671i | ||||
\(831\) | −2.92593 | − | 2.74394i | −0.101499 | − | 0.0951863i | ||||
\(832\) | −6.78347 | − | 45.0099i | −0.235174 | − | 1.56044i | ||||
\(833\) | 3.98554 | − | 5.48563i | 0.138091 | − | 0.190066i | ||||
\(834\) | 3.68532 | − | 23.9907i | 0.127612 | − | 0.830731i | ||||
\(835\) | −14.9465 | + | 22.4447i | −0.517246 | + | 0.776731i | ||||
\(836\) | 5.63224 | − | 6.91981i | 0.194795 | − | 0.239327i | ||||
\(837\) | 40.9976 | + | 33.7776i | 1.41708 | + | 1.16753i | ||||
\(838\) | −9.77300 | − | 0.268132i | −0.337603 | − | 0.00926246i | ||||
\(839\) | −1.20761 | − | 3.71664i | −0.0416913 | − | 0.128313i | 0.928044 | − | 0.372469i | \(-0.121489\pi\) |
−0.969736 | + | 0.244157i | \(0.921489\pi\) | |||||||
\(840\) | 9.43010 | + | 9.60857i | 0.325369 | + | 0.331527i | ||||
\(841\) | −0.616996 | + | 1.89892i | −0.0212757 | + | 0.0654800i | ||||
\(842\) | −0.0152181 | + | 0.0428045i | −0.000524450 | + | 0.00147514i | ||||
\(843\) | −5.48991 | + | 43.6924i | −0.189083 | + | 1.50485i | ||||
\(844\) | 0.359728 | − | 6.55083i | 0.0123823 | − | 0.225489i | ||||
\(845\) | 24.0115 | − | 36.0572i | 0.826021 | − | 1.24041i | ||||
\(846\) | −24.1568 | − | 30.8026i | −0.830527 | − | 1.05901i | ||||
\(847\) | −2.92793 | − | 4.02995i | −0.100605 | − | 0.138471i | ||||
\(848\) | −3.18299 | + | 28.8946i | −0.109304 | + | 0.992243i | ||||
\(849\) | −5.83230 | + | 46.4174i | −0.200164 | + | 1.59304i | ||||
\(850\) | 0.473381 | + | 8.72120i | 0.0162368 | + | 0.299135i | ||||
\(851\) | 16.1657 | 0.554152 | ||||||||
\(852\) | −5.69915 | − | 5.96481i | −0.195250 | − | 0.204351i | ||||
\(853\) | 15.8012 | − | 11.4803i | 0.541024 | − | 0.393077i | −0.283441 | − | 0.958990i | \(-0.591476\pi\) |
0.824465 | + | 0.565913i | \(0.191476\pi\) | |||||||
\(854\) | −5.15488 | + | 6.70062i | −0.176396 | + | 0.229291i | ||||
\(855\) | −7.04549 | + | 3.13921i | −0.240951 | + | 0.107359i | ||||
\(856\) | 1.29481 | + | 5.48370i | 0.0442555 | + | 0.187429i | ||||
\(857\) | − | 5.43507i | − | 0.185659i | −0.995682 | − | 0.0928293i | \(-0.970409\pi\) | ||
0.995682 | − | 0.0928293i | \(-0.0295911\pi\) | |||||||
\(858\) | 24.3242 | − | 48.2936i | 0.830416 | − | 1.64872i | ||||
\(859\) | −32.7111 | − | 10.6285i | −1.11609 | − | 0.362639i | −0.307814 | − | 0.951447i | \(-0.599597\pi\) |
−0.808273 | + | 0.588808i | \(0.799597\pi\) | |||||||
\(860\) | −12.7639 | + | 37.4854i | −0.435246 | + | 1.27824i | ||||
\(861\) | 0.922235 | + | 4.81699i | 0.0314297 | + | 0.164163i | ||||
\(862\) | 22.1169 | + | 0.606799i | 0.753305 | + | 0.0206677i | ||||
\(863\) | 10.1831 | − | 31.3405i | 0.346638 | − | 1.06684i | −0.614063 | − | 0.789257i | \(-0.710466\pi\) |
0.960701 | − | 0.277585i | \(-0.0895339\pi\) | |||||||
\(864\) | −5.78111 | + | 28.8198i | −0.196677 | + | 0.980468i | ||||
\(865\) | −11.3354 | − | 30.5790i | −0.385414 | − | 1.03972i | ||||
\(866\) | 30.3661 | + | 0.833124i | 1.03188 | + | 0.0283107i | ||||
\(867\) | 19.5503 | + | 18.3344i | 0.663964 | + | 0.622668i | ||||
\(868\) | −21.1081 | + | 13.6329i | −0.716457 | + | 0.462732i | ||||
\(869\) | −11.5102 | + | 15.8425i | −0.390458 | + | 0.537419i | ||||
\(870\) | −6.13488 | − | 29.8708i | −0.207992 | − | 1.01271i | ||||
\(871\) | 42.8239 | + | 58.9420i | 1.45103 | + | 1.99717i | ||||
\(872\) | −10.7037 | − | 0.882772i | −0.362473 | − | 0.0298944i | ||||
\(873\) | −1.29690 | − | 20.1821i | −0.0438933 | − | 0.683062i | ||||
\(874\) | −5.13584 | + | 1.51433i | −0.173722 | + | 0.0512230i | ||||
\(875\) | 13.6376 | − | 1.67878i | 0.461036 | − | 0.0567531i | ||||
\(876\) | 7.97155 | − | 3.83563i | 0.269334 | − | 0.129594i | ||||
\(877\) | 5.87644 | + | 18.0858i | 0.198433 | + | 0.610715i | 0.999919 | + | 0.0127012i | \(0.00404303\pi\) |
−0.801486 | + | 0.598013i | \(0.795957\pi\) | |||||||
\(878\) | 8.44111 | − | 10.9723i | 0.284874 | − | 0.370296i | ||||
\(879\) | −17.4977 | − | 31.7777i | −0.590182 | − | 1.07184i | ||||
\(880\) | −32.1874 | − | 12.9700i | −1.08504 | − | 0.437218i | ||||
\(881\) | 24.3407 | − | 33.5020i | 0.820057 | − | 1.12871i | −0.169636 | − | 0.985507i | \(-0.554259\pi\) |
0.989693 | − | 0.143205i | \(-0.0457409\pi\) | |||||||
\(882\) | −0.855547 | − | 23.2746i | −0.0288078 | − | 0.783695i | ||||
\(883\) | −23.4758 | + | 32.3117i | −0.790025 | + | 1.08738i | 0.204080 | + | 0.978954i | \(0.434580\pi\) |
−0.994105 | + | 0.108422i | \(0.965420\pi\) | |||||||
\(884\) | 13.5859 | − | 3.60398i | 0.456943 | − | 0.121215i | ||||
\(885\) | −26.8139 | + | 6.27811i | −0.901341 | + | 0.211036i | ||||
\(886\) | −36.4897 | + | 25.0116i | −1.22589 | + | 0.840281i | ||||
\(887\) | 8.93131 | − | 27.4878i | 0.299884 | − | 0.922949i | −0.681653 | − | 0.731676i | \(-0.738739\pi\) |
0.981537 | − | 0.191273i | \(-0.0612615\pi\) | |||||||
\(888\) | −21.9503 | + | 9.82972i | −0.736604 | + | 0.329864i | ||||
\(889\) | 1.15975 | + | 3.56934i | 0.0388967 | + | 0.119712i | ||||
\(890\) | −32.5602 | − | 22.9962i | −1.09142 | − | 0.770835i | ||||
\(891\) | −25.3904 | + | 23.9715i | −0.850610 | + | 0.803075i | ||||
\(892\) | 3.22623 | − | 58.7513i | 0.108022 | − | 1.96714i | ||||
\(893\) | 10.6089i | 0.355014i | ||||||||
\(894\) | −29.6758 | − | 14.9469i | −0.992506 | − | 0.499899i | ||||
\(895\) | 14.0645 | + | 17.7837i | 0.470125 | + | 0.594444i | ||||
\(896\) | −12.1610 | − | 6.74124i | −0.406271 | − | 0.225209i | ||||
\(897\) | −28.4264 | + | 15.6524i | −0.949131 | + | 0.522617i | ||||
\(898\) | −17.8761 | − | 26.0796i | −0.596532 | − | 0.870286i | ||||
\(899\) | 56.9158 | 1.89825 | ||||||||
\(900\) | 19.7655 | + | 22.5683i | 0.658848 | + | 0.752276i | ||||
\(901\) | −8.97647 | −0.299049 | ||||||||
\(902\) | −7.14741 | − | 10.4274i | −0.237983 | − | 0.347195i | ||||
\(903\) | −16.5111 | + | 9.09144i | −0.549454 | + | 0.302544i | ||||
\(904\) | 2.92771 | − | 35.4988i | 0.0973742 | − | 1.18067i | ||||
\(905\) | −3.92741 | + | 5.89765i | −0.130552 | + | 0.196045i | ||||
\(906\) | −12.6019 | − | 6.34724i | −0.418670 | − | 0.210873i | ||||
\(907\) | 3.37449i | 0.112048i | 0.998429 | + | 0.0560241i | \(0.0178424\pi\) | ||||
−0.998429 | + | 0.0560241i | \(0.982158\pi\) | |||||||
\(908\) | −27.9596 | − | 1.53535i | −0.927871 | − | 0.0509524i | ||||
\(909\) | −9.61400 | − | 6.08318i | −0.318876 | − | 0.201766i | ||||
\(910\) | −7.11441 | − | 20.9372i | −0.235841 | − | 0.694060i | ||||
\(911\) | 0.913071 | + | 2.81014i | 0.0302514 | + | 0.0931042i | 0.965042 | − | 0.262094i | \(-0.0844132\pi\) |
−0.934791 | + | 0.355199i | \(0.884413\pi\) | |||||||
\(912\) | 6.05282 | − | 5.17912i | 0.200429 | − | 0.171498i | ||||
\(913\) | 8.83377 | − | 27.1875i | 0.292355 | − | 0.899776i | ||||
\(914\) | 10.3804 | − | 7.11516i | 0.343352 | − | 0.235349i | ||||
\(915\) | −12.3150 | + | 14.2558i | −0.407122 | + | 0.471283i | ||||
\(916\) | 11.3278 | + | 42.7025i | 0.374282 | + | 1.41093i | ||||
\(917\) | 12.5572 | − | 17.2836i | 0.414677 | − | 0.570754i | ||||
\(918\) | −9.04136 | − | 0.799992i | −0.298409 | − | 0.0264037i | ||||
\(919\) | −12.0770 | + | 16.6226i | −0.398385 | + | 0.548330i | −0.960338 | − | 0.278840i | \(-0.910050\pi\) |
0.561953 | + | 0.827169i | \(0.310050\pi\) | |||||||
\(920\) | 11.5322 | + | 17.3413i | 0.380206 | + | 0.571724i | ||||
\(921\) | 19.8791 | + | 36.1026i | 0.655038 | + | 1.18962i | ||||
\(922\) | 8.90695 | − | 11.5778i | 0.293335 | − | 0.381294i | ||||
\(923\) | 4.18727 | + | 12.8871i | 0.137826 | + | 0.424184i | ||||
\(924\) | −7.16189 | − | 14.8845i | −0.235609 | − | 0.489663i | ||||
\(925\) | −5.65593 | + | 23.8862i | −0.185966 | + | 0.785374i | ||||
\(926\) | 42.2530 | − | 12.4585i | 1.38852 | − | 0.409412i | ||||
\(927\) | −27.9912 | + | 1.79870i | −0.919351 | + | 0.0590771i | ||||
\(928\) | 14.8546 | + | 27.7711i | 0.487627 | + | 0.911630i | ||||
\(929\) | 0.0337401 | + | 0.0464393i | 0.00110698 | + | 0.00152362i | 0.809570 | − | 0.587023i | \(-0.199700\pi\) |
−0.808463 | + | 0.588547i | \(0.799700\pi\) | |||||||
\(930\) | −48.6830 | + | 27.6626i | −1.59638 | + | 0.907092i | ||||
\(931\) | −3.71011 | + | 5.10652i | −0.121594 | + | 0.167359i | ||||
\(932\) | −8.34287 | − | 12.9174i | −0.273280 | − | 0.423125i | ||||
\(933\) | −5.26866 | − | 4.94096i | −0.172488 | − | 0.161760i | ||||
\(934\) | 28.6275 | + | 0.785423i | 0.936721 | + | 0.0256998i | ||||
\(935\) | 2.89266 | − | 10.3181i | 0.0946001 | − | 0.337438i | ||||
\(936\) | 29.0808 | − | 38.5384i | 0.950535 | − | 1.25967i | ||||
\(937\) | −3.68522 | + | 11.3419i | −0.120391 | + | 0.370525i | −0.993033 | − | 0.117835i | \(-0.962405\pi\) |
0.872642 | + | 0.488360i | \(0.162405\pi\) | |||||||
\(938\) | 22.2471 | + | 0.610371i | 0.726394 | + | 0.0199293i | ||||
\(939\) | −3.27521 | − | 17.1070i | −0.106883 | − | 0.558266i | ||||
\(940\) | 39.4182 | − | 12.1990i | 1.28568 | − | 0.397888i | ||||
\(941\) | −51.7368 | − | 16.8103i | −1.68657 | − | 0.548001i | −0.700404 | − | 0.713746i | \(-0.746997\pi\) |
−0.986169 | + | 0.165746i | \(0.946997\pi\) | |||||||
\(942\) | −19.8001 | + | 39.3114i | −0.645123 | + | 1.28083i | ||||
\(943\) | 7.58669i | 0.247057i | ||||||||
\(944\) | 24.7025 | − | 14.0979i | 0.803997 | − | 0.458847i | ||||
\(945\) | −0.285501 | + | 14.2768i | −0.00928734 | + | 0.464424i | ||||
\(946\) | 29.6244 | − | 38.5076i | 0.963173 | − | 1.25199i | ||||
\(947\) | 4.82467 | − | 3.50533i | 0.156781 | − | 0.113908i | −0.506629 | − | 0.862164i | \(-0.669109\pi\) |
0.663410 | + | 0.748256i | \(0.269109\pi\) | |||||||
\(948\) | −12.6414 | + | 12.0784i | −0.410574 | + | 0.392287i | ||||
\(949\) | −14.5301 | −0.471666 | ||||||||
\(950\) | −0.440666 | − | 8.11849i | −0.0142971 | − | 0.263399i | ||||
\(951\) | −4.17102 | + | 33.1958i | −0.135255 | + | 1.07645i | ||||
\(952\) | 1.65796 | − | 3.96062i | 0.0537347 | − | 0.128364i | ||||
\(953\) | 2.16180 | + | 2.97547i | 0.0700277 | + | 0.0963849i | 0.842594 | − | 0.538549i | \(-0.181027\pi\) |
−0.772566 | + | 0.634934i | \(0.781027\pi\) | |||||||
\(954\) | −24.2616 | + | 19.0271i | −0.785499 | + | 0.616024i | ||||
\(955\) | −10.4325 | − | 2.92475i | −0.337589 | − | 0.0946426i | ||||
\(956\) | 58.9849 | + | 3.23905i | 1.90771 | + | 0.104758i | ||||
\(957\) | −4.66433 | + | 37.1219i | −0.150776 | + | 1.19998i | ||||
\(958\) | 15.9711 | − | 44.9227i | 0.516004 | − | 1.45139i | ||||
\(959\) | −0.0265990 | + | 0.0818634i | −0.000858928 | + | 0.00264351i | ||||
\(960\) | −26.2034 | − | 16.5343i | −0.845711 | − | 0.533641i | ||||
\(961\) | −22.7154 | − | 69.9107i | −0.732754 | − | 2.25518i | ||||
\(962\) | 39.4884 | + | 1.08340i | 1.27316 | + | 0.0349303i | ||||
\(963\) | −3.19549 | + | 5.05023i | −0.102973 | + | 0.162741i | ||||
\(964\) | 10.7112 | + | 8.71819i | 0.344986 | + | 0.280794i | ||||
\(965\) | 1.76460 | + | 43.1966i | 0.0568043 | + | 1.39055i | ||||
\(966\) | −1.50509 | + | 9.79786i | −0.0484256 | + | 0.315241i | ||||
\(967\) | 9.09172 | − | 12.5137i | 0.292370 | − | 0.402413i | −0.637412 | − | 0.770523i | \(-0.719995\pi\) |
0.929782 | + | 0.368110i | \(0.119995\pi\) | |||||||
\(968\) | 8.68935 | + | 7.47790i | 0.279286 | + | 0.240349i | ||||
\(969\) | 1.79433 | + | 1.68273i | 0.0576421 | + | 0.0540569i | ||||
\(970\) | 20.3608 | + | 6.31531i | 0.653746 | + | 0.202772i | ||||
\(971\) | 7.80593 | − | 5.67134i | 0.250504 | − | 0.182002i | −0.455446 | − | 0.890263i | \(-0.650520\pi\) |
0.705950 | + | 0.708261i | \(0.250520\pi\) | |||||||
\(972\) | −26.1327 | + | 17.0024i | −0.838207 | + | 0.545352i | ||||
\(973\) | 3.76326 | + | 11.5821i | 0.120645 | + | 0.371306i | ||||
\(974\) | −4.74876 | + | 1.40020i | −0.152160 | + | 0.0448652i | ||||
\(975\) | −13.1821 | − | 47.4789i | −0.422166 | − | 1.52054i | ||||
\(976\) | 8.00230 | − | 17.7345i | 0.256147 | − | 0.567666i | ||||
\(977\) | −25.7563 | + | 8.36873i | −0.824018 | + | 0.267740i | −0.690523 | − | 0.723310i | \(-0.742620\pi\) |
−0.133494 | + | 0.991050i | \(0.542620\pi\) | |||||||
\(978\) | −14.5692 | + | 14.7055i | −0.465871 | + | 0.470230i | ||||
\(979\) | 28.7470 | + | 39.5669i | 0.918759 | + | 1.26456i | ||||
\(980\) | 23.2398 | + | 7.91324i | 0.742368 | + | 0.252779i | ||||
\(981\) | −7.27300 | − | 8.76760i | −0.232209 | − | 0.279928i | ||||
\(982\) | 3.39819 | + | 11.5250i | 0.108441 | + | 0.367776i | ||||
\(983\) | −26.0248 | − | 18.9081i | −0.830063 | − | 0.603076i | 0.0895142 | − | 0.995986i | \(-0.471469\pi\) |
−0.919577 | + | 0.392910i | \(0.871469\pi\) | |||||||
\(984\) | −4.61318 | − | 10.3015i | −0.147063 | − | 0.328399i | ||||
\(985\) | −33.0060 | + | 26.1033i | −1.05166 | + | 0.831720i | ||||
\(986\) | −8.02174 | + | 5.49845i | −0.255464 | + | 0.175106i | ||||
\(987\) | 17.7769 | + | 8.35062i | 0.565844 | + | 0.265803i | ||||
\(988\) | −12.6470 | + | 3.35491i | −0.402355 | + | 0.106734i | ||||
\(989\) | −27.7297 | + | 9.00992i | −0.881752 | + | 0.286499i | ||||
\(990\) | −14.0526 | − | 34.0192i | −0.446620 | − | 1.08120i | ||||
\(991\) | −27.7345 | − | 9.01148i | −0.881015 | − | 0.286259i | −0.166636 | − | 0.986018i | \(-0.553291\pi\) |
−0.714379 | + | 0.699759i | \(0.753291\pi\) | |||||||
\(992\) | 40.0685 | − | 41.6987i | 1.27218 | − | 1.32394i | ||||
\(993\) | 3.84342 | − | 30.5886i | 0.121967 | − | 0.970699i | ||||
\(994\) | 3.90007 | + | 1.38657i | 0.123703 | + | 0.0439794i | ||||
\(995\) | 6.70049 | − | 0.273717i | 0.212420 | − | 0.00867742i | ||||
\(996\) | 12.1023 | − | 22.4719i | 0.383475 | − | 0.712049i | ||||
\(997\) | −3.83590 | + | 2.78694i | −0.121484 | + | 0.0882634i | −0.646868 | − | 0.762602i | \(-0.723922\pi\) |
0.525384 | + | 0.850865i | \(0.323922\pi\) | |||||||
\(998\) | −26.0081 | − | 37.9435i | −0.823272 | − | 1.20108i | ||||
\(999\) | −23.7371 | − | 9.34306i | −0.751009 | − | 0.295601i |
(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 | 300.2.n.a.131.47 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.131.10 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.131.56 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.131.1 | yes | 224 | |
25.21 | even | 5 | inner | 300.2.n.a.71.1 | ✓ | 224 | |
75.71 | odd | 10 | inner | 300.2.n.a.71.56 | yes | 224 | |
100.71 | odd | 10 | inner | 300.2.n.a.71.10 | yes | 224 | |
300.71 | even | 10 | inner | 300.2.n.a.71.47 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.71.1 | ✓ | 224 | 25.21 | even | 5 | inner | |
300.2.n.a.71.10 | yes | 224 | 100.71 | odd | 10 | inner | |
300.2.n.a.71.47 | yes | 224 | 300.71 | even | 10 | inner | |
300.2.n.a.71.56 | yes | 224 | 75.71 | odd | 10 | inner | |
300.2.n.a.131.1 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.131.10 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.131.47 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.131.56 | yes | 224 | 4.3 | odd | 2 | inner |