Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(4,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.t (of order \(30\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 109.6 | ||
Character | \(\chi\) | \(=\) | 175.109 |
Dual form | 175.2.t.a.114.6 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.34851 | − | 0.141734i | −0.953540 | − | 0.100221i | −0.385036 | − | 0.922902i | \(-0.625811\pi\) |
−0.568504 | + | 0.822680i | \(0.692478\pi\) | |||||||
\(3\) | −0.0597933 | + | 0.281305i | −0.0345217 | + | 0.162412i | −0.992032 | − | 0.125988i | \(-0.959790\pi\) |
0.957510 | + | 0.288400i | \(0.0931232\pi\) | |||||||
\(4\) | −0.157907 | − | 0.0335641i | −0.0789534 | − | 0.0167821i | ||||
\(5\) | −1.89013 | − | 1.19475i | −0.845291 | − | 0.534306i | ||||
\(6\) | 0.120502 | − | 0.370868i | 0.0491949 | − | 0.151406i | ||||
\(7\) | 0.848315 | + | 2.50606i | 0.320633 | + | 0.947204i | ||||
\(8\) | 2.78733 | + | 0.905658i | 0.985469 | + | 0.320198i | ||||
\(9\) | 2.66508 | + | 1.18657i | 0.888360 | + | 0.395523i | ||||
\(10\) | 2.37952 | + | 1.87902i | 0.752470 | + | 0.594198i | ||||
\(11\) | −0.130473 | + | 0.0580902i | −0.0393390 | + | 0.0175149i | −0.426312 | − | 0.904576i | \(-0.640187\pi\) |
0.386973 | + | 0.922091i | \(0.373521\pi\) | |||||||
\(12\) | 0.0188835 | − | 0.0424131i | 0.00545121 | − | 0.0122436i | ||||
\(13\) | 2.82682 | + | 3.89078i | 0.784018 | + | 1.07911i | 0.994827 | + | 0.101581i | \(0.0323900\pi\) |
−0.210810 | + | 0.977527i | \(0.567610\pi\) | |||||||
\(14\) | −0.788766 | − | 3.49969i | −0.210807 | − | 0.935331i | ||||
\(15\) | 0.449105 | − | 0.460265i | 0.115958 | − | 0.118840i | ||||
\(16\) | −3.33542 | − | 1.48502i | −0.833855 | − | 0.371256i | ||||
\(17\) | −3.77325 | + | 3.39745i | −0.915149 | + | 0.824004i | −0.984822 | − | 0.173566i | \(-0.944471\pi\) |
0.0696735 | + | 0.997570i | \(0.477804\pi\) | |||||||
\(18\) | −3.42571 | − | 1.97783i | −0.807447 | − | 0.466180i | ||||
\(19\) | 0.807335 | − | 0.171604i | 0.185215 | − | 0.0393687i | −0.114370 | − | 0.993438i | \(-0.536485\pi\) |
0.299585 | + | 0.954069i | \(0.403152\pi\) | |||||||
\(20\) | 0.258363 | + | 0.252099i | 0.0577718 | + | 0.0563710i | ||||
\(21\) | −0.755693 | + | 0.0887897i | −0.164906 | + | 0.0193755i | ||||
\(22\) | 0.184177 | − | 0.0598427i | 0.0392667 | − | 0.0127585i | ||||
\(23\) | 7.09767 | + | 0.745995i | 1.47997 | + | 0.155551i | 0.809820 | − | 0.586679i | \(-0.199565\pi\) |
0.670146 | + | 0.742229i | \(0.266231\pi\) | |||||||
\(24\) | −0.421430 | + | 0.729938i | −0.0860240 | + | 0.148998i | ||||
\(25\) | 2.14517 | + | 4.51644i | 0.429034 | + | 0.903289i | ||||
\(26\) | −3.26053 | − | 5.64741i | −0.639443 | − | 1.10755i | ||||
\(27\) | −1.00027 | + | 1.37675i | −0.192501 | + | 0.264955i | ||||
\(28\) | −0.0498408 | − | 0.424197i | −0.00941903 | − | 0.0801658i | ||||
\(29\) | −1.86695 | − | 5.74589i | −0.346684 | − | 1.06698i | −0.960676 | − | 0.277672i | \(-0.910437\pi\) |
0.613992 | − | 0.789312i | \(-0.289563\pi\) | |||||||
\(30\) | −0.670858 | + | 0.557019i | −0.122481 | + | 0.101697i | ||||
\(31\) | 0.249623 | + | 0.277235i | 0.0448336 | + | 0.0497928i | 0.765144 | − | 0.643859i | \(-0.222668\pi\) |
−0.720311 | + | 0.693651i | \(0.756001\pi\) | |||||||
\(32\) | −0.788877 | − | 0.455459i | −0.139455 | − | 0.0805145i | ||||
\(33\) | −0.00853969 | − | 0.0401761i | −0.00148657 | − | 0.00699376i | ||||
\(34\) | 5.56980 | − | 4.04670i | 0.955213 | − | 0.694003i | ||||
\(35\) | 1.39068 | − | 5.75030i | 0.235069 | − | 0.971979i | ||||
\(36\) | −0.381008 | − | 0.276818i | −0.0635013 | − | 0.0461364i | ||||
\(37\) | −3.68380 | + | 8.27395i | −0.605613 | + | 1.36023i | 0.307119 | + | 0.951671i | \(0.400635\pi\) |
−0.912732 | + | 0.408559i | \(0.866032\pi\) | |||||||
\(38\) | −1.11302 | + | 0.116983i | −0.180556 | + | 0.0189772i | ||||
\(39\) | −1.26352 | + | 0.562556i | −0.202325 | + | 0.0900811i | ||||
\(40\) | −4.18638 | − | 5.04195i | −0.661924 | − | 0.797203i | ||||
\(41\) | 2.77346 | − | 2.01504i | 0.433142 | − | 0.314696i | −0.349762 | − | 0.936839i | \(-0.613738\pi\) |
0.782904 | + | 0.622142i | \(0.213738\pi\) | |||||||
\(42\) | 1.03164 | − | 0.0126263i | 0.159186 | − | 0.00194828i | ||||
\(43\) | − | 1.35463i | − | 0.206579i | −0.994651 | − | 0.103290i | \(-0.967063\pi\) | ||
0.994651 | − | 0.103290i | \(-0.0329369\pi\) | |||||||
\(44\) | 0.0225523 | − | 0.00479363i | 0.00339988 | − | 0.000722667i | ||||
\(45\) | −3.61969 | − | 5.42686i | −0.539592 | − | 0.808988i | ||||
\(46\) | −9.46554 | − | 2.01196i | −1.39562 | − | 0.296648i | ||||
\(47\) | −5.18913 | − | 4.67231i | −0.756912 | − | 0.681527i | 0.197405 | − | 0.980322i | \(-0.436749\pi\) |
−0.954317 | + | 0.298795i | \(0.903415\pi\) | |||||||
\(48\) | 0.617181 | − | 0.849477i | 0.0890824 | − | 0.122611i | ||||
\(49\) | −5.56072 | + | 4.25187i | −0.794389 | + | 0.607409i | ||||
\(50\) | −2.25265 | − | 6.39451i | −0.318572 | − | 0.904320i | ||||
\(51\) | −0.730107 | − | 1.26458i | −0.102235 | − | 0.177077i | ||||
\(52\) | −0.315783 | − | 0.709260i | −0.0437912 | − | 0.0983566i | ||||
\(53\) | 0.470762 | − | 2.21476i | 0.0646642 | − | 0.304221i | −0.933916 | − | 0.357493i | \(-0.883632\pi\) |
0.998580 | + | 0.0532718i | \(0.0169650\pi\) | |||||||
\(54\) | 1.54400 | − | 1.71479i | 0.210112 | − | 0.233353i | ||||
\(55\) | 0.316013 | + | 0.0460837i | 0.0426112 | + | 0.00621393i | ||||
\(56\) | 0.0948953 | + | 7.75351i | 0.0126809 | + | 1.03611i | ||||
\(57\) | 0.237368i | 0.0314402i | ||||||||
\(58\) | 1.70321 | + | 8.01299i | 0.223643 | + | 1.05216i | ||||
\(59\) | 0.344714 | + | 3.27973i | 0.0448779 | + | 0.426985i | 0.993776 | + | 0.111401i | \(0.0355338\pi\) |
−0.948898 | + | 0.315584i | \(0.897800\pi\) | |||||||
\(60\) | −0.0863652 | + | 0.0576052i | −0.0111497 | + | 0.00743680i | ||||
\(61\) | 0.179533 | − | 1.70814i | 0.0229868 | − | 0.218705i | −0.976998 | − | 0.213247i | \(-0.931596\pi\) |
0.999985 | − | 0.00545771i | \(-0.00173725\pi\) | |||||||
\(62\) | −0.297326 | − | 0.409234i | −0.0377604 | − | 0.0519727i | ||||
\(63\) | −0.712794 | + | 7.68545i | −0.0898036 | + | 0.968275i | ||||
\(64\) | 6.90681 | + | 5.01809i | 0.863351 | + | 0.627261i | ||||
\(65\) | −0.694556 | − | 10.7314i | −0.0861490 | − | 1.33107i | ||||
\(66\) | 0.00582153 | + | 0.0553882i | 0.000716581 | + | 0.00681781i | ||||
\(67\) | 8.34782 | − | 7.51641i | 1.01985 | − | 0.918276i | 0.0231719 | − | 0.999731i | \(-0.492623\pi\) |
0.996677 | + | 0.0814554i | \(0.0259568\pi\) | |||||||
\(68\) | 0.709855 | − | 0.409835i | 0.0860825 | − | 0.0496998i | ||||
\(69\) | −0.634245 | + | 1.95201i | −0.0763542 | + | 0.234994i | ||||
\(70\) | −2.69036 | + | 7.55723i | −0.321560 | + | 0.903262i | ||||
\(71\) | 1.44811 | + | 4.45682i | 0.171859 | + | 0.528928i | 0.999476 | − | 0.0323654i | \(-0.0103040\pi\) |
−0.827617 | + | 0.561293i | \(0.810304\pi\) | |||||||
\(72\) | 6.35382 | + | 5.72101i | 0.748805 | + | 0.674227i | ||||
\(73\) | 4.12157 | + | 9.25719i | 0.482393 | + | 1.08347i | 0.976783 | + | 0.214232i | \(0.0687249\pi\) |
−0.494390 | + | 0.869240i | \(0.664608\pi\) | |||||||
\(74\) | 6.14034 | − | 10.6354i | 0.713800 | − | 1.23634i | ||||
\(75\) | −1.39877 | + | 0.333394i | −0.161516 | + | 0.0384971i | ||||
\(76\) | −0.133243 | −0.0152841 | ||||||||
\(77\) | −0.256260 | − | 0.277694i | −0.0292035 | − | 0.0316462i | ||||
\(78\) | 1.78360 | − | 0.579528i | 0.201953 | − | 0.0656186i | ||||
\(79\) | 7.64875 | − | 8.49480i | 0.860552 | − | 0.955740i | −0.138850 | − | 0.990313i | \(-0.544341\pi\) |
0.999402 | + | 0.0345738i | \(0.0110074\pi\) | |||||||
\(80\) | 4.53014 | + | 6.79186i | 0.506485 | + | 0.759353i | ||||
\(81\) | 5.52867 | + | 6.14021i | 0.614297 | + | 0.682246i | ||||
\(82\) | −4.02564 | + | 2.32420i | −0.444558 | + | 0.256665i | ||||
\(83\) | −14.8328 | − | 4.81947i | −1.62811 | − | 0.529005i | −0.654275 | − | 0.756257i | \(-0.727026\pi\) |
−0.973836 | + | 0.227252i | \(0.927026\pi\) | |||||||
\(84\) | 0.122309 | + | 0.0113437i | 0.0133450 | + | 0.00123770i | ||||
\(85\) | 11.1910 | − | 1.91355i | 1.21384 | − | 0.207553i | ||||
\(86\) | −0.191997 | + | 1.82673i | −0.0207036 | + | 0.196982i | ||||
\(87\) | 1.72798 | − | 0.181618i | 0.185259 | − | 0.0194715i | ||||
\(88\) | −0.416280 | + | 0.0437528i | −0.0443756 | + | 0.00466406i | ||||
\(89\) | −1.42961 | + | 13.6018i | −0.151538 | + | 1.44179i | 0.609346 | + | 0.792905i | \(0.291432\pi\) |
−0.760884 | + | 0.648888i | \(0.775235\pi\) | |||||||
\(90\) | 4.11202 | + | 7.83120i | 0.433445 | + | 0.825481i | ||||
\(91\) | −7.35251 | + | 10.3848i | −0.770753 | + | 1.08862i | ||||
\(92\) | −1.09573 | − | 0.356024i | −0.114238 | − | 0.0371181i | ||||
\(93\) | −0.0929134 | + | 0.0536436i | −0.00963467 | + | 0.00556258i | ||||
\(94\) | 6.33536 | + | 7.03613i | 0.653443 | + | 0.725722i | ||||
\(95\) | −1.73099 | − | 0.640205i | −0.177596 | − | 0.0656837i | ||||
\(96\) | 0.175293 | − | 0.194682i | 0.0178907 | − | 0.0198697i | ||||
\(97\) | 4.17760 | − | 1.35738i | 0.424171 | − | 0.137821i | −0.0891501 | − | 0.996018i | \(-0.528415\pi\) |
0.513321 | + | 0.858197i | \(0.328415\pi\) | |||||||
\(98\) | 8.10132 | − | 4.94554i | 0.818357 | − | 0.499575i | ||||
\(99\) | −0.416648 | −0.0418747 | ||||||||
\(100\) | −0.187146 | − | 0.785177i | −0.0187146 | − | 0.0785177i | ||||
\(101\) | 3.76146 | − | 6.51503i | 0.374279 | − | 0.648270i | −0.615940 | − | 0.787793i | \(-0.711224\pi\) |
0.990219 | + | 0.139523i | \(0.0445570\pi\) | |||||||
\(102\) | 0.805321 | + | 1.80878i | 0.0797387 | + | 0.179096i | ||||
\(103\) | −13.7205 | − | 12.3540i | −1.35192 | − | 1.21727i | −0.953983 | − | 0.299862i | \(-0.903059\pi\) |
−0.397937 | − | 0.917413i | \(-0.630274\pi\) | |||||||
\(104\) | 4.35555 | + | 13.4050i | 0.427097 | + | 1.31447i | ||||
\(105\) | 1.53444 | + | 0.735037i | 0.149746 | + | 0.0717323i | ||||
\(106\) | −0.948734 | + | 2.91990i | −0.0921492 | + | 0.283606i | ||||
\(107\) | −2.68869 | + | 1.55232i | −0.259926 | + | 0.150068i | −0.624301 | − | 0.781184i | \(-0.714616\pi\) |
0.364375 | + | 0.931252i | \(0.381283\pi\) | |||||||
\(108\) | 0.204158 | − | 0.183825i | 0.0196451 | − | 0.0176885i | ||||
\(109\) | −0.389344 | − | 3.70436i | −0.0372924 | − | 0.354814i | −0.997217 | − | 0.0745548i | \(-0.976246\pi\) |
0.959925 | − | 0.280259i | \(-0.0904202\pi\) | |||||||
\(110\) | −0.419615 | − | 0.106934i | −0.0400087 | − | 0.0101958i | ||||
\(111\) | −2.10724 | − | 1.53100i | −0.200011 | − | 0.145316i | ||||
\(112\) | 0.892081 | − | 9.61854i | 0.0842937 | − | 0.908867i | ||||
\(113\) | 4.37471 | + | 6.02127i | 0.411538 | + | 0.566434i | 0.963593 | − | 0.267374i | \(-0.0861560\pi\) |
−0.552055 | + | 0.833808i | \(0.686156\pi\) | |||||||
\(114\) | 0.0336432 | − | 0.320094i | 0.00315097 | − | 0.0299795i | ||||
\(115\) | −12.5242 | − | 9.88993i | −1.16789 | − | 0.922241i | ||||
\(116\) | 0.101949 | + | 0.969977i | 0.00946570 | + | 0.0900601i | ||||
\(117\) | 2.91701 | + | 13.7234i | 0.269678 | + | 1.26873i | ||||
\(118\) | − | 4.47161i | − | 0.411645i | ||||||
\(119\) | −11.7151 | − | 6.57391i | −1.07393 | − | 0.602629i | ||||
\(120\) | 1.66865 | − | 0.876175i | 0.152326 | − | 0.0799835i | ||||
\(121\) | −7.34679 | + | 8.15943i | −0.667890 | + | 0.741767i | ||||
\(122\) | −0.484203 | + | 2.27799i | −0.0438377 | + | 0.206240i | ||||
\(123\) | 0.401007 | + | 0.900676i | 0.0361576 | + | 0.0812112i | ||||
\(124\) | −0.0301120 | − | 0.0521556i | −0.00270414 | − | 0.00468371i | ||||
\(125\) | 1.34136 | − | 11.0996i | 0.119974 | − | 0.992777i | ||||
\(126\) | 2.05050 | − | 10.2629i | 0.182673 | − | 0.914289i | ||||
\(127\) | 8.53310 | − | 11.7448i | 0.757190 | − | 1.04218i | −0.240253 | − | 0.970710i | \(-0.577230\pi\) |
0.997443 | − | 0.0714722i | \(-0.0227697\pi\) | |||||||
\(128\) | −7.24878 | − | 6.52683i | −0.640707 | − | 0.576895i | ||||
\(129\) | 0.381065 | + | 0.0809979i | 0.0335509 | + | 0.00713147i | ||||
\(130\) | −0.584389 | + | 14.5698i | −0.0512543 | + | 1.27786i | ||||
\(131\) | 14.7815 | − | 3.14191i | 1.29147 | − | 0.274510i | 0.489565 | − | 0.871967i | \(-0.337155\pi\) |
0.801901 | + | 0.597457i | \(0.203822\pi\) | |||||||
\(132\) | 0.00663070i | 0.000577128i | ||||||||
\(133\) | 1.11493 | + | 1.87766i | 0.0966763 | + | 0.162814i | ||||
\(134\) | −12.3224 | + | 8.95278i | −1.06450 | + | 0.773403i | ||||
\(135\) | 3.53549 | − | 1.40717i | 0.304287 | − | 0.121110i | ||||
\(136\) | −13.5942 | + | 6.05254i | −1.16570 | + | 0.519001i | ||||
\(137\) | 15.9508 | − | 1.67649i | 1.36277 | − | 0.143233i | 0.605243 | − | 0.796041i | \(-0.293076\pi\) |
0.757523 | + | 0.652808i | \(0.226409\pi\) | |||||||
\(138\) | 1.13195 | − | 2.54240i | 0.0963581 | − | 0.216424i | ||||
\(139\) | −2.65128 | − | 1.92627i | −0.224879 | − | 0.163384i | 0.469641 | − | 0.882857i | \(-0.344383\pi\) |
−0.694520 | + | 0.719473i | \(0.744383\pi\) | |||||||
\(140\) | −0.412602 | + | 0.861335i | −0.0348713 | + | 0.0727961i | ||||
\(141\) | 1.62462 | − | 1.18036i | 0.136818 | − | 0.0994040i | ||||
\(142\) | −1.32111 | − | 6.21531i | −0.110865 | − | 0.521578i | ||||
\(143\) | −0.594838 | − | 0.343430i | −0.0497429 | − | 0.0287191i | ||||
\(144\) | −7.12707 | − | 7.91541i | −0.593922 | − | 0.659618i | ||||
\(145\) | −3.33609 | + | 13.0910i | −0.277047 | + | 1.08715i | ||||
\(146\) | −4.24591 | − | 13.0676i | −0.351394 | − | 1.08148i | ||||
\(147\) | −0.863579 | − | 1.81849i | −0.0712268 | − | 0.149987i | ||||
\(148\) | 0.859405 | − | 1.18287i | 0.0706427 | − | 0.0972313i | ||||
\(149\) | −5.39761 | − | 9.34893i | −0.442189 | − | 0.765894i | 0.555663 | − | 0.831408i | \(-0.312465\pi\) |
−0.997852 | + | 0.0655140i | \(0.979131\pi\) | |||||||
\(150\) | 1.93350 | − | 0.251333i | 0.157870 | − | 0.0205212i | ||||
\(151\) | 8.70042 | − | 15.0696i | 0.708030 | − | 1.22634i | −0.257557 | − | 0.966263i | \(-0.582917\pi\) |
0.965587 | − | 0.260081i | \(-0.0837492\pi\) | |||||||
\(152\) | 2.40572 | + | 0.252851i | 0.195130 | + | 0.0205090i | ||||
\(153\) | −14.0873 | + | 4.57725i | −1.13889 | + | 0.370049i | ||||
\(154\) | 0.306210 | + | 0.410794i | 0.0246751 | + | 0.0331027i | ||||
\(155\) | −0.140595 | − | 0.822245i | −0.0112929 | − | 0.0660443i | ||||
\(156\) | 0.218400 | − | 0.0464224i | 0.0174860 | − | 0.00371677i | ||||
\(157\) | −7.20222 | − | 4.15820i | −0.574800 | − | 0.331861i | 0.184264 | − | 0.982877i | \(-0.441010\pi\) |
−0.759064 | + | 0.651016i | \(0.774343\pi\) | |||||||
\(158\) | −11.5184 | + | 10.3712i | −0.916356 | + | 0.825090i | ||||
\(159\) | 0.594876 | + | 0.264856i | 0.0471768 | + | 0.0210044i | ||||
\(160\) | 0.946922 | + | 1.80338i | 0.0748608 | + | 0.142570i | ||||
\(161\) | 4.15155 | + | 18.4201i | 0.327188 | + | 1.45170i | ||||
\(162\) | −6.58519 | − | 9.06373i | −0.517381 | − | 0.712114i | ||||
\(163\) | 5.57419 | − | 12.5198i | 0.436604 | − | 0.980630i | −0.552513 | − | 0.833504i | \(-0.686331\pi\) |
0.989118 | − | 0.147126i | \(-0.0470022\pi\) | |||||||
\(164\) | −0.505581 | + | 0.225099i | −0.0394793 | + | 0.0175773i | ||||
\(165\) | −0.0318591 | + | 0.0861407i | −0.00248023 | + | 0.00670604i | ||||
\(166\) | 19.3191 | + | 8.60141i | 1.49945 | + | 0.667599i | ||||
\(167\) | −16.4112 | − | 5.33231i | −1.26993 | − | 0.412626i | −0.404910 | − | 0.914357i | \(-0.632697\pi\) |
−0.865024 | + | 0.501730i | \(0.832697\pi\) | |||||||
\(168\) | −2.18678 | − | 0.436913i | −0.168714 | − | 0.0337086i | ||||
\(169\) | −3.13005 | + | 9.63330i | −0.240773 | + | 0.741023i | ||||
\(170\) | −15.3624 | + | 0.994284i | −1.17824 | + | 0.0762581i | ||||
\(171\) | 2.35523 | + | 0.500620i | 0.180109 | + | 0.0382834i | ||||
\(172\) | −0.0454670 | + | 0.213905i | −0.00346683 | + | 0.0163101i | ||||
\(173\) | 5.73912 | + | 0.603206i | 0.436337 | + | 0.0458609i | 0.320151 | − | 0.947367i | \(-0.396266\pi\) |
0.116186 | + | 0.993227i | \(0.462933\pi\) | |||||||
\(174\) | −2.35594 | −0.178603 | ||||||||
\(175\) | −9.49872 | + | 9.20730i | −0.718036 | + | 0.696006i | ||||
\(176\) | 0.521446 | 0.0393055 | ||||||||
\(177\) | −0.943219 | − | 0.0991363i | −0.0708967 | − | 0.00745154i | ||||
\(178\) | 3.85569 | − | 18.1396i | 0.288996 | − | 1.35962i | ||||
\(179\) | −12.8846 | − | 2.73871i | −0.963043 | − | 0.204701i | −0.300548 | − | 0.953767i | \(-0.597169\pi\) |
−0.662496 | + | 0.749066i | \(0.730503\pi\) | |||||||
\(180\) | 0.389426 | + | 0.978429i | 0.0290261 | + | 0.0729278i | ||||
\(181\) | 5.86832 | − | 18.0608i | 0.436189 | − | 1.34245i | −0.455674 | − | 0.890147i | \(-0.650602\pi\) |
0.891863 | − | 0.452305i | \(-0.149398\pi\) | |||||||
\(182\) | 11.3868 | − | 12.9619i | 0.844047 | − | 0.960799i | ||||
\(183\) | 0.469774 | + | 0.152639i | 0.0347267 | + | 0.0112834i | ||||
\(184\) | 19.1079 | + | 8.50739i | 1.40865 | + | 0.627173i | ||||
\(185\) | 16.8481 | − | 11.2376i | 1.23870 | − | 0.826207i | ||||
\(186\) | 0.132898 | − | 0.0591699i | 0.00974453 | − | 0.00433854i | ||||
\(187\) | 0.294948 | − | 0.662464i | 0.0215687 | − | 0.0484442i | ||||
\(188\) | 0.662576 | + | 0.911958i | 0.0483234 | + | 0.0665114i | ||||
\(189\) | −4.29876 | − | 1.33881i | −0.312689 | − | 0.0973845i | ||||
\(190\) | 2.24352 | + | 1.10866i | 0.162762 | + | 0.0804308i | ||||
\(191\) | 13.4652 | + | 5.99510i | 0.974309 | + | 0.433790i | 0.831235 | − | 0.555922i | \(-0.187635\pi\) |
0.143074 | + | 0.989712i | \(0.454301\pi\) | |||||||
\(192\) | −1.82460 | + | 1.64287i | −0.131679 | + | 0.118564i | ||||
\(193\) | −3.43318 | − | 1.98215i | −0.247125 | − | 0.142678i | 0.371322 | − | 0.928504i | \(-0.378905\pi\) |
−0.618447 | + | 0.785826i | \(0.712238\pi\) | |||||||
\(194\) | −5.82591 | + | 1.23834i | −0.418276 | + | 0.0889074i | ||||
\(195\) | 3.06033 | + | 0.446283i | 0.219155 | + | 0.0319590i | ||||
\(196\) | 1.02079 | − | 0.484757i | 0.0729133 | − | 0.0346255i | ||||
\(197\) | −18.9759 | + | 6.16564i | −1.35198 | + | 0.439283i | −0.893356 | − | 0.449350i | \(-0.851656\pi\) |
−0.458619 | + | 0.888633i | \(0.651656\pi\) | |||||||
\(198\) | 0.561854 | + | 0.0590532i | 0.0399292 | + | 0.00419673i | ||||
\(199\) | −2.37463 | + | 4.11297i | −0.168333 | + | 0.291561i | −0.937834 | − | 0.347085i | \(-0.887172\pi\) |
0.769501 | + | 0.638646i | \(0.220505\pi\) | |||||||
\(200\) | 1.88894 | + | 14.5316i | 0.133568 | + | 1.02754i | ||||
\(201\) | 1.61526 | + | 2.79772i | 0.113932 | + | 0.197336i | ||||
\(202\) | −5.99576 | + | 8.25245i | −0.421860 | + | 0.580641i | ||||
\(203\) | 12.8158 | − | 9.55303i | 0.899493 | − | 0.670491i | ||||
\(204\) | 0.0728442 | + | 0.224191i | 0.00510011 | + | 0.0156965i | ||||
\(205\) | −7.64966 | + | 0.495100i | −0.534275 | + | 0.0345793i | ||||
\(206\) | 16.7512 | + | 18.6041i | 1.16711 | + | 1.29621i | ||||
\(207\) | 18.0307 | + | 10.4100i | 1.25322 | + | 0.723546i | ||||
\(208\) | −3.65072 | − | 17.1753i | −0.253132 | − | 1.19089i | ||||
\(209\) | −0.0953666 | + | 0.0692879i | −0.00659665 | + | 0.00479274i | ||||
\(210\) | −1.96502 | − | 1.20869i | −0.135600 | − | 0.0834073i | ||||
\(211\) | −1.61068 | − | 1.17023i | −0.110884 | − | 0.0805619i | 0.530961 | − | 0.847396i | \(-0.321831\pi\) |
−0.641845 | + | 0.766834i | \(0.721831\pi\) | |||||||
\(212\) | −0.148673 | + | 0.333925i | −0.0102109 | + | 0.0229341i | ||||
\(213\) | −1.34032 | + | 0.140873i | −0.0918369 | + | 0.00965245i | ||||
\(214\) | 3.84574 | − | 1.71224i | 0.262890 | − | 0.117046i | ||||
\(215\) | −1.61844 | + | 2.56043i | −0.110377 | + | 0.174620i | ||||
\(216\) | −4.03493 | + | 2.93155i | −0.274542 | + | 0.199467i | ||||
\(217\) | −0.483009 | + | 0.860754i | −0.0327888 | + | 0.0584318i | ||||
\(218\) | 5.05055i | 0.342066i | ||||||||
\(219\) | −2.85054 | + | 0.605901i | −0.192622 | + | 0.0409430i | ||||
\(220\) | −0.0483538 | − | 0.0178836i | −0.00326001 | − | 0.00120571i | ||||
\(221\) | −23.8850 | − | 5.07692i | −1.60668 | − | 0.341511i | ||||
\(222\) | 2.62464 | + | 2.36324i | 0.176154 | + | 0.158610i | ||||
\(223\) | −9.57365 | + | 13.1770i | −0.641099 | + | 0.882397i | −0.998674 | − | 0.0514874i | \(-0.983604\pi\) |
0.357575 | + | 0.933885i | \(0.383604\pi\) | |||||||
\(224\) | 0.472192 | − | 2.36335i | 0.0315497 | − | 0.157908i | ||||
\(225\) | 0.357969 | + | 14.5821i | 0.0238646 | + | 0.972138i | ||||
\(226\) | −5.04592 | − | 8.73979i | −0.335649 | − | 0.581362i | ||||
\(227\) | −0.448022 | − | 1.00627i | −0.0297363 | − | 0.0667888i | 0.898067 | − | 0.439859i | \(-0.144972\pi\) |
−0.927803 | + | 0.373070i | \(0.878305\pi\) | |||||||
\(228\) | 0.00796706 | − | 0.0374821i | 0.000527632 | − | 0.00248231i | ||||
\(229\) | 4.12813 | − | 4.58476i | 0.272795 | − | 0.302969i | −0.591144 | − | 0.806566i | \(-0.701324\pi\) |
0.863939 | + | 0.503597i | \(0.167990\pi\) | |||||||
\(230\) | 15.4873 | + | 15.1118i | 1.02120 | + | 0.996440i | ||||
\(231\) | 0.0934395 | − | 0.0554830i | 0.00614787 | − | 0.00365051i | ||||
\(232\) | − | 17.7065i | − | 1.16249i | ||||||
\(233\) | 2.15421 | + | 10.1348i | 0.141127 | + | 0.663950i | 0.990653 | + | 0.136404i | \(0.0435544\pi\) |
−0.849526 | + | 0.527546i | \(0.823112\pi\) | |||||||
\(234\) | −1.98853 | − | 18.9196i | −0.129995 | − | 1.23682i | ||||
\(235\) | 4.22590 | + | 15.0310i | 0.275667 | + | 0.980512i | ||||
\(236\) | 0.0556487 | − | 0.529462i | 0.00362242 | − | 0.0344651i | ||||
\(237\) | 1.93229 | + | 2.65957i | 0.125516 | + | 0.172757i | ||||
\(238\) | 14.8662 | + | 10.5254i | 0.963635 | + | 0.682261i | ||||
\(239\) | −5.80855 | − | 4.22016i | −0.375724 | − | 0.272979i | 0.383857 | − | 0.923393i | \(-0.374596\pi\) |
−0.759580 | + | 0.650413i | \(0.774596\pi\) | |||||||
\(240\) | −2.18146 | + | 0.868246i | −0.140813 | + | 0.0560450i | ||||
\(241\) | −2.10935 | − | 20.0691i | −0.135875 | − | 1.29277i | −0.823757 | − | 0.566943i | \(-0.808126\pi\) |
0.687882 | − | 0.725822i | \(-0.258541\pi\) | |||||||
\(242\) | 11.0637 | − | 9.96178i | 0.711200 | − | 0.640368i | ||||
\(243\) | −6.47914 | + | 3.74073i | −0.415637 | + | 0.239968i | ||||
\(244\) | −0.0856816 | + | 0.263701i | −0.00548520 | + | 0.0168817i | ||||
\(245\) | 15.5904 | − | 1.39292i | 0.996032 | − | 0.0889907i | ||||
\(246\) | −0.413105 | − | 1.27141i | −0.0263386 | − | 0.0810619i | ||||
\(247\) | 2.94986 | + | 2.65607i | 0.187695 | + | 0.169002i | ||||
\(248\) | 0.444702 | + | 0.998817i | 0.0282386 | + | 0.0634249i | ||||
\(249\) | 2.24264 | − | 3.88437i | 0.142122 | − | 0.246162i | ||||
\(250\) | −3.38202 | + | 14.7778i | −0.213898 | + | 0.934629i | ||||
\(251\) | 26.6764 | 1.68380 | 0.841901 | − | 0.539632i | \(-0.181437\pi\) | ||||
0.841901 | + | 0.539632i | \(0.181437\pi\) | |||||||
\(252\) | 0.370510 | − | 1.18966i | 0.0233399 | − | 0.0749415i | ||||
\(253\) | −0.969387 | + | 0.314973i | −0.0609448 | + | 0.0198022i | ||||
\(254\) | −13.1716 | + | 14.6285i | −0.826460 | + | 0.917876i | ||||
\(255\) | −0.130858 | + | 3.26251i | −0.00819464 | + | 0.204307i | ||||
\(256\) | −2.57515 | − | 2.86000i | −0.160947 | − | 0.178750i | ||||
\(257\) | 1.53581 | − | 0.886703i | 0.0958015 | − | 0.0553110i | −0.451334 | − | 0.892355i | \(-0.649052\pi\) |
0.547135 | + | 0.837044i | \(0.315718\pi\) | |||||||
\(258\) | −0.502390 | − | 0.163236i | −0.0312774 | − | 0.0101626i | ||||
\(259\) | −23.8601 | − | 2.21293i | −1.48259 | − | 0.137505i | ||||
\(260\) | −0.250515 | + | 1.71787i | −0.0155363 | + | 0.106538i | ||||
\(261\) | 1.84232 | − | 17.5285i | 0.114037 | − | 1.08499i | ||||
\(262\) | −20.3783 | + | 2.14185i | −1.25898 | + | 0.132324i | ||||
\(263\) | −0.0677999 | + | 0.00712606i | −0.00418072 | + | 0.000439412i | −0.106619 | − | 0.994300i | \(-0.534002\pi\) |
0.102438 | + | 0.994739i | \(0.467336\pi\) | |||||||
\(264\) | 0.0125829 | − | 0.119718i | 0.000774422 | − | 0.00736813i | ||||
\(265\) | −3.53588 | + | 3.62374i | −0.217207 | + | 0.222605i | ||||
\(266\) | −1.23736 | − | 2.69006i | −0.0758674 | − | 0.164938i | ||||
\(267\) | −3.74079 | − | 1.21546i | −0.228933 | − | 0.0743847i | ||||
\(268\) | −1.57046 | + | 0.906705i | −0.0959311 | + | 0.0553858i | ||||
\(269\) | 3.65949 | + | 4.06427i | 0.223123 | + | 0.247803i | 0.844305 | − | 0.535863i | \(-0.180014\pi\) |
−0.621182 | + | 0.783666i | \(0.713347\pi\) | |||||||
\(270\) | −4.96709 | + | 1.39648i | −0.302287 | + | 0.0849869i | ||||
\(271\) | 2.12393 | − | 2.35887i | 0.129020 | − | 0.143291i | −0.675173 | − | 0.737659i | \(-0.735931\pi\) |
0.804193 | + | 0.594368i | \(0.202598\pi\) | |||||||
\(272\) | 17.6307 | − | 5.72856i | 1.06902 | − | 0.347345i | ||||
\(273\) | −2.48167 | − | 2.68924i | −0.150197 | − | 0.162760i | ||||
\(274\) | −21.7474 | −1.31381 | ||||||||
\(275\) | −0.542247 | − | 0.464659i | −0.0326987 | − | 0.0280200i | ||||
\(276\) | 0.165669 | − | 0.286947i | 0.00997210 | − | 0.0172722i | ||||
\(277\) | 3.99112 | + | 8.96419i | 0.239803 | + | 0.538606i | 0.992851 | − | 0.119359i | \(-0.0380840\pi\) |
−0.753048 | + | 0.657965i | \(0.771417\pi\) | |||||||
\(278\) | 3.30226 | + | 2.97337i | 0.198057 | + | 0.178331i | ||||
\(279\) | 0.336307 | + | 1.03505i | 0.0201342 | + | 0.0619667i | ||||
\(280\) | 9.08410 | − | 14.7685i | 0.542879 | − | 0.882586i | ||||
\(281\) | −6.68442 | + | 20.5725i | −0.398759 | + | 1.22725i | 0.527236 | + | 0.849719i | \(0.323228\pi\) |
−0.925995 | + | 0.377536i | \(0.876772\pi\) | |||||||
\(282\) | −2.35811 | + | 1.36146i | −0.140424 | + | 0.0810737i | ||||
\(283\) | 15.8761 | − | 14.2949i | 0.943738 | − | 0.849746i | −0.0450630 | − | 0.998984i | \(-0.514349\pi\) |
0.988801 | + | 0.149238i | \(0.0476822\pi\) | |||||||
\(284\) | −0.0790770 | − | 0.752367i | −0.00469235 | − | 0.0446448i | ||||
\(285\) | 0.283595 | − | 0.448657i | 0.0167987 | − | 0.0265761i | ||||
\(286\) | 0.753469 | + | 0.547428i | 0.0445536 | + | 0.0323701i | ||||
\(287\) | 7.40259 | + | 5.24109i | 0.436961 | + | 0.309372i | ||||
\(288\) | −1.56199 | − | 2.14989i | −0.0920410 | − | 0.126684i | ||||
\(289\) | 0.917775 | − | 8.73204i | 0.0539868 | − | 0.513650i | ||||
\(290\) | 6.35419 | − | 17.1805i | 0.373131 | − | 1.00887i | ||||
\(291\) | 0.132047 | + | 1.25634i | 0.00774073 | + | 0.0736481i | ||||
\(292\) | −0.340114 | − | 1.60011i | −0.0199037 | − | 0.0936393i | ||||
\(293\) | − | 3.83275i | − | 0.223911i | −0.993713 | − | 0.111956i | \(-0.964289\pi\) | ||
0.993713 | − | 0.111956i | \(-0.0357115\pi\) | |||||||
\(294\) | 0.906801 | + | 2.57466i | 0.0528857 | + | 0.150157i | ||||
\(295\) | 3.26689 | − | 6.61096i | 0.190206 | − | 0.384905i | ||||
\(296\) | −17.7613 | + | 19.7260i | −1.03236 | + | 1.14655i | ||||
\(297\) | 0.0505318 | − | 0.237734i | 0.00293215 | − | 0.0137947i | ||||
\(298\) | 5.95366 | + | 13.3721i | 0.344886 | + | 0.774627i | ||||
\(299\) | 17.1613 | + | 29.7242i | 0.992464 | + | 1.71900i | ||||
\(300\) | 0.232065 | − | 0.00569686i | 0.0133983 | − | 0.000328908i | ||||
\(301\) | 3.39479 | − | 1.14915i | 0.195673 | − | 0.0662362i | ||||
\(302\) | −13.8685 | + | 19.0883i | −0.798041 | + | 1.09841i | ||||
\(303\) | 1.60780 | + | 1.44767i | 0.0923659 | + | 0.0831667i | ||||
\(304\) | −2.94764 | − | 0.626539i | −0.169059 | − | 0.0359345i | ||||
\(305\) | −2.38013 | + | 3.01411i | −0.136286 | + | 0.172587i | ||||
\(306\) | 19.6457 | − | 4.17581i | 1.12307 | − | 0.238715i | ||||
\(307\) | 19.4072i | 1.10763i | 0.832641 | + | 0.553814i | \(0.186828\pi\) | ||||
−0.832641 | + | 0.553814i | \(0.813172\pi\) | |||||||
\(308\) | 0.0311446 | + | 0.0524509i | 0.00177463 | + | 0.00298867i | ||||
\(309\) | 4.29564 | − | 3.12096i | 0.244370 | − | 0.177545i | ||||
\(310\) | 0.0730536 | + | 1.12873i | 0.00414917 | + | 0.0641077i | ||||
\(311\) | 2.48883 | − | 1.10810i | 0.141128 | − | 0.0628344i | −0.334957 | − | 0.942233i | \(-0.608722\pi\) |
0.476086 | + | 0.879399i | \(0.342055\pi\) | |||||||
\(312\) | −4.03133 | + | 0.423710i | −0.228229 | + | 0.0239879i | ||||
\(313\) | 10.3886 | − | 23.3332i | 0.587200 | − | 1.31887i | −0.338626 | − | 0.940921i | \(-0.609962\pi\) |
0.925826 | − | 0.377951i | \(-0.123371\pi\) | |||||||
\(314\) | 9.12290 | + | 6.62817i | 0.514835 | + | 0.374049i | ||||
\(315\) | 10.5294 | − | 13.6749i | 0.593266 | − | 0.770492i | ||||
\(316\) | −1.49291 | + | 1.08466i | −0.0839827 | + | 0.0610170i | ||||
\(317\) | 2.15677 | + | 10.1468i | 0.121137 | + | 0.569903i | 0.996290 | + | 0.0860574i | \(0.0274269\pi\) |
−0.875154 | + | 0.483845i | \(0.839240\pi\) | |||||||
\(318\) | −0.764657 | − | 0.441475i | −0.0428798 | − | 0.0247567i | ||||
\(319\) | 0.577366 | + | 0.641230i | 0.0323263 | + | 0.0359020i | ||||
\(320\) | −7.05942 | − | 17.7367i | −0.394633 | − | 0.991512i | ||||
\(321\) | −0.275909 | − | 0.849162i | −0.0153998 | − | 0.0473956i | ||||
\(322\) | −2.98765 | − | 25.4280i | −0.166495 | − | 1.41705i | ||||
\(323\) | −2.46326 | + | 3.39039i | −0.137060 | + | 0.188646i | ||||
\(324\) | −0.666924 | − | 1.15515i | −0.0370513 | − | 0.0641748i | ||||
\(325\) | −11.5085 | + | 21.1135i | −0.638376 | + | 1.17117i | ||||
\(326\) | −9.29134 | + | 16.0931i | −0.514600 | + | 0.891313i | ||||
\(327\) | 1.06534 | + | 0.111971i | 0.0589133 | + | 0.00619204i | ||||
\(328\) | 9.55548 | − | 3.10476i | 0.527613 | − | 0.171432i | ||||
\(329\) | 7.30710 | − | 16.9679i | 0.402854 | − | 0.935470i | ||||
\(330\) | 0.0551713 | − | 0.111646i | 0.00303708 | − | 0.00614591i | ||||
\(331\) | 12.8193 | − | 2.72482i | 0.704611 | − | 0.149770i | 0.158348 | − | 0.987383i | \(-0.449383\pi\) |
0.546263 | + | 0.837614i | \(0.316050\pi\) | |||||||
\(332\) | 2.18044 | + | 1.25888i | 0.119667 | + | 0.0690898i | ||||
\(333\) | −19.6352 | + | 17.6797i | −1.07600 | + | 0.968839i | ||||
\(334\) | 21.3748 | + | 9.51669i | 1.16958 | + | 0.520730i | ||||
\(335\) | −24.7587 | + | 4.23346i | −1.35271 | + | 0.231299i | ||||
\(336\) | 2.65241 | + | 0.826072i | 0.144701 | + | 0.0450659i | ||||
\(337\) | −6.06126 | − | 8.34261i | −0.330178 | − | 0.454451i | 0.611363 | − | 0.791351i | \(-0.290622\pi\) |
−0.941541 | + | 0.336899i | \(0.890622\pi\) | |||||||
\(338\) | 5.58627 | − | 12.5470i | 0.303853 | − | 0.682465i | ||||
\(339\) | −1.95539 | + | 0.870598i | −0.106202 | + | 0.0472844i | ||||
\(340\) | −1.83136 | − | 0.0734552i | −0.0993197 | − | 0.00398367i | ||||
\(341\) | −0.0486736 | − | 0.0216709i | −0.00263582 | − | 0.00117354i | ||||
\(342\) | −3.10510 | − | 1.00891i | −0.167904 | − | 0.0545554i | ||||
\(343\) | −15.3727 | − | 10.3286i | −0.830048 | − | 0.557693i | ||||
\(344\) | 1.22683 | − | 3.77580i | 0.0661464 | − | 0.203578i | ||||
\(345\) | 3.53096 | − | 2.93178i | 0.190100 | − | 0.157842i | ||||
\(346\) | −7.65376 | − | 1.62686i | −0.411469 | − | 0.0874603i | ||||
\(347\) | −1.02728 | + | 4.83296i | −0.0551471 | + | 0.259447i | −0.997081 | − | 0.0763517i | \(-0.975673\pi\) |
0.941934 | + | 0.335799i | \(0.109006\pi\) | |||||||
\(348\) | −0.278956 | − | 0.0293194i | −0.0149536 | − | 0.00157169i | ||||
\(349\) | 16.4954 | 0.882977 | 0.441488 | − | 0.897267i | \(-0.354451\pi\) | ||||
0.441488 | + | 0.897267i | \(0.354451\pi\) | |||||||
\(350\) | 14.1141 | − | 11.0698i | 0.754430 | − | 0.591707i | ||||
\(351\) | −8.18419 | −0.436840 | ||||||||
\(352\) | 0.129385 | + | 0.0135989i | 0.00689622 | + | 0.000724822i | ||||
\(353\) | −6.58363 | + | 30.9736i | −0.350411 | + | 1.64856i | 0.351423 | + | 0.936217i | \(0.385698\pi\) |
−0.701835 | + | 0.712340i | \(0.747636\pi\) | |||||||
\(354\) | 1.25789 | + | 0.267372i | 0.0668560 | + | 0.0142107i | ||||
\(355\) | 2.58766 | − | 10.1541i | 0.137338 | − | 0.538923i | ||||
\(356\) | 0.682279 | − | 2.09984i | 0.0361607 | − | 0.111291i | ||||
\(357\) | 2.54976 | − | 2.90246i | 0.134948 | − | 0.153614i | ||||
\(358\) | 16.9869 | + | 5.51937i | 0.897785 | + | 0.291708i | ||||
\(359\) | −24.7508 | − | 11.0198i | −1.30630 | − | 0.581602i | −0.368773 | − | 0.929519i | \(-0.620222\pi\) |
−0.937525 | + | 0.347918i | \(0.886889\pi\) | |||||||
\(360\) | −5.17439 | − | 18.4046i | −0.272714 | − | 0.970009i | ||||
\(361\) | −16.7350 | + | 7.45091i | −0.880791 | + | 0.392153i | ||||
\(362\) | −10.4733 | + | 23.5235i | −0.550466 | + | 1.23637i | ||||
\(363\) | −1.85600 | − | 2.55457i | −0.0974150 | − | 0.134080i | ||||
\(364\) | 1.50957 | − | 1.39305i | 0.0791228 | − | 0.0730156i | ||||
\(365\) | 3.26969 | − | 22.4215i | 0.171144 | − | 1.17360i | ||||
\(366\) | −0.611860 | − | 0.272418i | −0.0319824 | − | 0.0142395i | ||||
\(367\) | 15.5681 | − | 14.0175i | 0.812646 | − | 0.731710i | −0.153932 | − | 0.988081i | \(-0.549194\pi\) |
0.966578 | + | 0.256371i | \(0.0825270\pi\) | |||||||
\(368\) | −22.5659 | − | 13.0284i | −1.17633 | − | 0.679153i | ||||
\(369\) | 9.78248 | − | 2.07933i | 0.509256 | − | 0.108246i | ||||
\(370\) | −24.3126 | + | 12.7661i | −1.26395 | + | 0.663678i | ||||
\(371\) | 5.94969 | − | 0.699056i | 0.308893 | − | 0.0362932i | ||||
\(372\) | 0.0164721 | − | 0.00535213i | 0.000854041 | − | 0.000277495i | ||||
\(373\) | 1.39088 | + | 0.146187i | 0.0720168 | + | 0.00756927i | 0.140468 | − | 0.990085i | \(-0.455139\pi\) |
−0.0684515 | + | 0.997654i | \(0.521806\pi\) | |||||||
\(374\) | −0.491634 | + | 0.851535i | −0.0254218 | + | 0.0440318i | ||||
\(375\) | 3.04217 | + | 1.04101i | 0.157097 | + | 0.0537576i | ||||
\(376\) | −10.2323 | − | 17.7228i | −0.527690 | − | 0.913986i | ||||
\(377\) | 17.0784 | − | 23.5065i | 0.879585 | − | 1.21064i | ||||
\(378\) | 5.60716 | + | 2.41468i | 0.288401 | + | 0.124198i | ||||
\(379\) | 4.54620 | + | 13.9918i | 0.233522 | + | 0.718708i | 0.997314 | + | 0.0732451i | \(0.0233355\pi\) |
−0.763792 | + | 0.645463i | \(0.776664\pi\) | |||||||
\(380\) | 0.251847 | + | 0.159192i | 0.0129195 | + | 0.00816637i | ||||
\(381\) | 2.79365 | + | 3.10267i | 0.143123 | + | 0.158954i | ||||
\(382\) | −17.3083 | − | 9.99293i | −0.885568 | − | 0.511283i | ||||
\(383\) | 5.04328 | + | 23.7268i | 0.257700 | + | 1.21238i | 0.896512 | + | 0.443019i | \(0.146093\pi\) |
−0.638812 | + | 0.769363i | \(0.720574\pi\) | |||||||
\(384\) | 2.26946 | − | 1.64886i | 0.115813 | − | 0.0841430i | ||||
\(385\) | 0.152590 | + | 0.831043i | 0.00777670 | + | 0.0423539i | ||||
\(386\) | 4.34873 | + | 3.15954i | 0.221345 | + | 0.160816i | ||||
\(387\) | 1.60736 | − | 3.61020i | 0.0817069 | − | 0.183517i | ||||
\(388\) | −0.705230 | + | 0.0741227i | −0.0358026 | + | 0.00376301i | ||||
\(389\) | 23.3117 | − | 10.3790i | 1.18195 | − | 0.526238i | 0.280809 | − | 0.959764i | \(-0.409397\pi\) |
0.901141 | + | 0.433526i | \(0.142731\pi\) | |||||||
\(390\) | −4.06363 | − | 1.03557i | −0.205770 | − | 0.0524381i | ||||
\(391\) | −29.3158 | + | 21.2992i | −1.48256 | + | 1.07715i | ||||
\(392\) | −19.3503 | + | 6.81523i | −0.977337 | + | 0.344221i | ||||
\(393\) | 4.34598i | 0.219226i | ||||||||
\(394\) | 26.4630 | − | 5.62489i | 1.33319 | − | 0.283378i | ||||
\(395\) | −24.6062 | + | 6.91795i | −1.23807 | + | 0.348080i | ||||
\(396\) | 0.0657915 | + | 0.0139844i | 0.00330615 | + | 0.000702744i | ||||
\(397\) | −3.74278 | − | 3.37001i | −0.187844 | − | 0.169136i | 0.569843 | − | 0.821754i | \(-0.307004\pi\) |
−0.757687 | + | 0.652618i | \(0.773671\pi\) | |||||||
\(398\) | 3.78515 | − | 5.20982i | 0.189733 | − | 0.261145i | ||||
\(399\) | −0.594861 | + | 0.201363i | −0.0297803 | + | 0.0100808i | ||||
\(400\) | −0.448008 | − | 18.2499i | −0.0224004 | − | 0.912493i | ||||
\(401\) | −14.8506 | − | 25.7220i | −0.741605 | − | 1.28450i | −0.951764 | − | 0.306830i | \(-0.900732\pi\) |
0.210159 | − | 0.977667i | \(-0.432602\pi\) | |||||||
\(402\) | −1.78167 | − | 4.00169i | −0.0888614 | − | 0.199586i | ||||
\(403\) | −0.373020 | + | 1.75492i | −0.0185814 | + | 0.0874188i | ||||
\(404\) | −0.812630 | + | 0.902517i | −0.0404299 | + | 0.0449019i | ||||
\(405\) | −3.11391 | − | 18.2111i | −0.154731 | − | 0.904919i | ||||
\(406\) | −18.6362 | + | 11.0659i | −0.924900 | + | 0.549192i | ||||
\(407\) | − | 1.29352i | − | 0.0641173i | ||||||
\(408\) | −0.889768 | − | 4.18603i | −0.0440501 | − | 0.207239i | ||||
\(409\) | 2.23540 | + | 21.2684i | 0.110533 | + | 1.05165i | 0.899411 | + | 0.437103i | \(0.143996\pi\) |
−0.788878 | + | 0.614550i | \(0.789338\pi\) | |||||||
\(410\) | 10.3858 | + | 0.416570i | 0.512918 | + | 0.0205729i | ||||
\(411\) | −0.482143 | + | 4.58728i | −0.0237823 | + | 0.226274i | ||||
\(412\) | 1.75191 | + | 2.41129i | 0.0863103 | + | 0.118796i | ||||
\(413\) | −7.92680 | + | 3.64612i | −0.390052 | + | 0.179414i | ||||
\(414\) | −22.8391 | − | 16.5936i | −1.12248 | − | 0.815529i | ||||
\(415\) | 22.2778 | + | 26.8308i | 1.09358 | + | 1.31707i | ||||
\(416\) | −0.457923 | − | 4.35684i | −0.0224515 | − | 0.213612i | ||||
\(417\) | 0.700399 | − | 0.630642i | 0.0342987 | − | 0.0308827i | ||||
\(418\) | 0.138423 | − | 0.0799187i | 0.00677050 | − | 0.00390895i | ||||
\(419\) | 7.11650 | − | 21.9023i | 0.347664 | − | 1.07000i | −0.612479 | − | 0.790487i | \(-0.709827\pi\) |
0.960142 | − | 0.279512i | \(-0.0901726\pi\) | |||||||
\(420\) | −0.217627 | − | 0.167569i | −0.0106191 | − | 0.00817655i | ||||
\(421\) | 5.15258 | + | 15.8580i | 0.251121 | + | 0.772872i | 0.994569 | + | 0.104078i | \(0.0331892\pi\) |
−0.743448 | + | 0.668794i | \(0.766811\pi\) | |||||||
\(422\) | 2.00616 | + | 1.80635i | 0.0976583 | + | 0.0879319i | ||||
\(423\) | −8.28542 | − | 18.6093i | −0.402851 | − | 0.904817i | ||||
\(424\) | 3.31798 | − | 5.74692i | 0.161136 | − | 0.279095i | ||||
\(425\) | −23.4387 | − | 9.75358i | −1.13694 | − | 0.473118i | ||||
\(426\) | 1.82739 | 0.0885376 | ||||||||
\(427\) | 4.43301 | − | 0.999120i | 0.214528 | − | 0.0483508i | ||||
\(428\) | 0.476665 | − | 0.154878i | 0.0230405 | − | 0.00748630i | ||||
\(429\) | 0.132176 | − | 0.146796i | 0.00638152 | − | 0.00708740i | ||||
\(430\) | 2.54538 | − | 3.22337i | 0.122749 | − | 0.155445i | ||||
\(431\) | −4.71885 | − | 5.24082i | −0.227299 | − | 0.252441i | 0.618698 | − | 0.785629i | \(-0.287661\pi\) |
−0.845997 | + | 0.533188i | \(0.820994\pi\) | |||||||
\(432\) | 5.38081 | − | 3.10661i | 0.258884 | − | 0.149467i | ||||
\(433\) | −0.997867 | − | 0.324227i | −0.0479544 | − | 0.0155813i | 0.284942 | − | 0.958545i | \(-0.408026\pi\) |
−0.332896 | + | 0.942964i | \(0.608026\pi\) | |||||||
\(434\) | 0.773340 | − | 1.09228i | 0.0371215 | − | 0.0524309i | ||||
\(435\) | −3.48309 | − | 1.72121i | −0.167001 | − | 0.0825259i | ||||
\(436\) | −0.0628536 | + | 0.598012i | −0.00301014 | + | 0.0286396i | ||||
\(437\) | 5.85821 | − | 0.615723i | 0.280236 | − | 0.0294540i | ||||
\(438\) | 3.92986 | − | 0.413045i | 0.187776 | − | 0.0197360i | ||||
\(439\) | 0.830281 | − | 7.89959i | 0.0396271 | − | 0.377027i | −0.956678 | − | 0.291147i | \(-0.905963\pi\) |
0.996305 | − | 0.0858800i | \(-0.0273702\pi\) | |||||||
\(440\) | 0.839096 | + | 0.414650i | 0.0400023 | + | 0.0197677i | ||||
\(441\) | −19.8649 | + | 4.73337i | −0.945948 | + | 0.225399i | ||||
\(442\) | 31.4896 | + | 10.2316i | 1.49781 | + | 0.486668i | ||||
\(443\) | −17.8294 | + | 10.2938i | −0.847099 | + | 0.489073i | −0.859671 | − | 0.510848i | \(-0.829331\pi\) |
0.0125723 | + | 0.999921i | \(0.495998\pi\) | |||||||
\(444\) | 0.281361 | + | 0.312483i | 0.0133528 | + | 0.0148298i | ||||
\(445\) | 18.9529 | − | 24.0012i | 0.898453 | − | 1.13777i | ||||
\(446\) | 14.7778 | − | 16.4124i | 0.699748 | − | 0.777149i | ||||
\(447\) | 2.95264 | − | 0.959372i | 0.139655 | − | 0.0453768i | ||||
\(448\) | −6.71651 | + | 21.5658i | −0.317325 | + | 1.01889i | ||||
\(449\) | 14.6499 | 0.691371 | 0.345685 | − | 0.938350i | \(-0.387646\pi\) | ||||
0.345685 | + | 0.938350i | \(0.387646\pi\) | |||||||
\(450\) | 1.58405 | − | 19.7148i | 0.0746728 | − | 0.929364i | ||||
\(451\) | −0.244807 | + | 0.424019i | −0.0115275 | + | 0.0199663i | ||||
\(452\) | −0.488698 | − | 1.09763i | −0.0229864 | − | 0.0516283i | ||||
\(453\) | 3.71892 | + | 3.34853i | 0.174730 | + | 0.157328i | ||||
\(454\) | 0.461539 | + | 1.42047i | 0.0216611 | + | 0.0666660i | ||||
\(455\) | 26.3044 | − | 10.8442i | 1.23317 | − | 0.508384i | ||||
\(456\) | −0.214975 | + | 0.661624i | −0.0100671 | + | 0.0309834i | ||||
\(457\) | −29.9385 | + | 17.2850i | −1.40046 | + | 0.808557i | −0.994440 | − | 0.105306i | \(-0.966418\pi\) |
−0.406023 | + | 0.913863i | \(0.633085\pi\) | |||||||
\(458\) | −6.21664 | + | 5.59749i | −0.290485 | + | 0.261554i | ||||
\(459\) | −0.903179 | − | 8.59318i | −0.0421568 | − | 0.401095i | ||||
\(460\) | 1.64571 | + | 1.98205i | 0.0767318 | + | 0.0924136i | ||||
\(461\) | −12.8239 | − | 9.31709i | −0.597267 | − | 0.433940i | 0.247641 | − | 0.968852i | \(-0.420345\pi\) |
−0.844908 | + | 0.534912i | \(0.820345\pi\) | |||||||
\(462\) | −0.133868 | + | 0.0615758i | −0.00622810 | + | 0.00286476i | ||||
\(463\) | −7.65984 | − | 10.5429i | −0.355983 | − | 0.489969i | 0.593041 | − | 0.805172i | \(-0.297927\pi\) |
−0.949024 | + | 0.315204i | \(0.897927\pi\) | |||||||
\(464\) | −2.30571 | + | 21.9374i | −0.107040 | + | 1.01842i | ||||
\(465\) | 0.239709 | + | 0.00961460i | 0.0111162 | + | 0.000445866i | ||||
\(466\) | −1.46853 | − | 13.9721i | −0.0680283 | − | 0.647246i | ||||
\(467\) | 6.35092 | + | 29.8787i | 0.293885 | + | 1.38262i | 0.838941 | + | 0.544222i | \(0.183175\pi\) |
−0.545056 | + | 0.838400i | \(0.683492\pi\) | |||||||
\(468\) | − | 2.26493i | − | 0.104696i | ||||||
\(469\) | 25.9182 | + | 14.5439i | 1.19679 | + | 0.671575i | ||||
\(470\) | −3.56826 | − | 20.8683i | −0.164592 | − | 0.962585i | ||||
\(471\) | 1.60037 | − | 1.77739i | 0.0737411 | − | 0.0818978i | ||||
\(472\) | −2.00949 | + | 9.45389i | −0.0924941 | + | 0.435150i | ||||
\(473\) | 0.0786908 | + | 0.176742i | 0.00361821 | + | 0.00812663i | ||||
\(474\) | −2.22876 | − | 3.86032i | −0.102370 | − | 0.177310i | ||||
\(475\) | 2.50691 | + | 3.27816i | 0.115025 | + | 0.150412i | ||||
\(476\) | 1.62925 | + | 1.43127i | 0.0746767 | + | 0.0656023i | ||||
\(477\) | 3.88259 | − | 5.34392i | 0.177772 | − | 0.244681i | ||||
\(478\) | 7.23474 | + | 6.51419i | 0.330909 | + | 0.297952i | ||||
\(479\) | −6.64926 | − | 1.41334i | −0.303812 | − | 0.0645773i | 0.0534830 | − | 0.998569i | \(-0.482968\pi\) |
−0.357295 | + | 0.933991i | \(0.616301\pi\) | |||||||
\(480\) | −0.563921 | + | 0.158544i | −0.0257393 | + | 0.00723652i | ||||
\(481\) | −42.6056 | + | 9.05609i | −1.94265 | + | 0.412922i | ||||
\(482\) | 27.3623i | 1.24632i | ||||||||
\(483\) | −5.42990 | + | 0.0664566i | −0.247069 | + | 0.00302388i | ||||
\(484\) | 1.43397 | − | 1.04184i | 0.0651805 | − | 0.0473564i | ||||
\(485\) | −9.51792 | − | 2.42553i | −0.432186 | − | 0.110138i | ||||
\(486\) | 9.26737 | − | 4.12610i | 0.420376 | − | 0.187164i | ||||
\(487\) | 27.3581 | − | 2.87545i | 1.23971 | − | 0.130299i | 0.538114 | − | 0.842872i | \(-0.319137\pi\) |
0.701598 | + | 0.712573i | \(0.252470\pi\) | |||||||
\(488\) | 2.04740 | − | 4.59855i | 0.0926817 | − | 0.208166i | ||||
\(489\) | 3.18860 | + | 2.31665i | 0.144193 | + | 0.104763i | ||||
\(490\) | −21.2212 | − | 0.331316i | −0.958676 | − | 0.0149673i | ||||
\(491\) | 3.14168 | − | 2.28256i | 0.141782 | − | 0.103011i | −0.514633 | − | 0.857410i | \(-0.672072\pi\) |
0.656415 | + | 0.754400i | \(0.272072\pi\) | |||||||
\(492\) | −0.0330913 | − | 0.155682i | −0.00149187 | − | 0.00701870i | ||||
\(493\) | 26.5659 | + | 15.3378i | 1.19647 | + | 0.690780i | ||||
\(494\) | −3.60146 | − | 3.99983i | −0.162037 | − | 0.179961i | ||||
\(495\) | 0.787518 | + | 0.497788i | 0.0353963 | + | 0.0223739i | ||||
\(496\) | −0.420898 | − | 1.29539i | −0.0188989 | − | 0.0581647i | ||||
\(497\) | −9.94064 | + | 7.40985i | −0.445898 | + | 0.332377i | ||||
\(498\) | −3.57477 | + | 4.92025i | −0.160189 | + | 0.220482i | ||||
\(499\) | 9.17007 | + | 15.8830i | 0.410509 | + | 0.711022i | 0.994945 | − | 0.100417i | \(-0.0320177\pi\) |
−0.584437 | + | 0.811439i | \(0.698684\pi\) | |||||||
\(500\) | −0.584357 | + | 1.70768i | −0.0261332 | + | 0.0763697i | ||||
\(501\) | 2.48129 | − | 4.29771i | 0.110856 | − | 0.192008i | ||||
\(502\) | −35.9734 | − | 3.78096i | −1.60557 | − | 0.168752i | ||||
\(503\) | 32.5781 | − | 10.5853i | 1.45259 | − | 0.471974i | 0.526790 | − | 0.849995i | \(-0.323395\pi\) |
0.925797 | + | 0.378021i | \(0.123395\pi\) | |||||||
\(504\) | −8.94717 | + | 20.7763i | −0.398539 | + | 0.925450i | ||||
\(505\) | −14.8934 | + | 7.82026i | −0.662749 | + | 0.347997i | ||||
\(506\) | 1.35187 | − | 0.287349i | 0.0600979 | − | 0.0127742i | ||||
\(507\) | −2.52274 | − | 1.45651i | −0.112039 | − | 0.0646857i | ||||
\(508\) | −1.74164 | + | 1.56818i | −0.0772727 | + | 0.0695766i | ||||
\(509\) | −13.0256 | − | 5.79939i | −0.577352 | − | 0.257054i | 0.0972200 | − | 0.995263i | \(-0.469005\pi\) |
−0.674572 | + | 0.738209i | \(0.735672\pi\) | |||||||
\(510\) | 0.638872 | − | 4.38098i | 0.0282897 | − | 0.193993i | ||||
\(511\) | −19.7027 | + | 18.1819i | −0.871598 | + | 0.804321i | ||||
\(512\) | 14.5340 | + | 20.0043i | 0.642318 | + | 0.884075i | ||||
\(513\) | −0.571294 | + | 1.28315i | −0.0252232 | + | 0.0566523i | ||||
\(514\) | −2.19674 | + | 0.978050i | −0.0968939 | + | 0.0431399i | ||||
\(515\) | 11.1736 | + | 39.7431i | 0.492369 | + | 1.75129i | ||||
\(516\) | −0.0574541 | − | 0.0255802i | −0.00252928 | − | 0.00112611i | ||||
\(517\) | 0.948455 | + | 0.308172i | 0.0417130 | + | 0.0135534i | ||||
\(518\) | 31.8619 | + | 6.36594i | 1.39993 | + | 0.279703i | ||||
\(519\) | −0.512846 | + | 1.57838i | −0.0225114 | + | 0.0692831i | ||||
\(520\) | 7.78301 | − | 30.5409i | 0.341308 | − | 1.33931i | ||||
\(521\) | 38.7121 | + | 8.22852i | 1.69601 | + | 0.360498i | 0.951627 | − | 0.307256i | \(-0.0994108\pi\) |
0.744382 | + | 0.667754i | \(0.232744\pi\) | |||||||
\(522\) | −4.96877 | + | 23.3762i | −0.217477 | + | 1.02315i | ||||
\(523\) | −3.42093 | − | 0.359554i | −0.149587 | − | 0.0157222i | 0.0294391 | − | 0.999567i | \(-0.490628\pi\) |
−0.179026 | + | 0.983844i | \(0.557295\pi\) | |||||||
\(524\) | −2.43956 | −0.106572 | ||||||||
\(525\) | −2.02210 | − | 3.22258i | −0.0882518 | − | 0.140645i | ||||
\(526\) | 0.0924388 | 0.00403053 | ||||||||
\(527\) | −1.88378 | − | 0.197994i | −0.0820589 | − | 0.00862474i | ||||
\(528\) | −0.0311790 | + | 0.146686i | −0.00135689 | + | 0.00638368i | ||||
\(529\) | 27.3230 | + | 5.80768i | 1.18796 | + | 0.252508i | ||||
\(530\) | 5.28177 | − | 4.38550i | 0.229425 | − | 0.190494i | ||||
\(531\) | −2.97294 | + | 9.14978i | −0.129015 | + | 0.397067i | ||||
\(532\) | −0.113032 | − | 0.333916i | −0.00490057 | − | 0.0144771i | ||||
\(533\) | 15.6801 | + | 5.09479i | 0.679182 | + | 0.220680i | ||||
\(534\) | 4.87222 | + | 2.16925i | 0.210842 | + | 0.0938727i | ||||
\(535\) | 6.93660 | + | 0.278224i | 0.299895 | + | 0.0120287i | ||||
\(536\) | 30.0754 | − | 13.3904i | 1.29906 | − | 0.578379i | ||||
\(537\) | 1.54083 | − | 3.46076i | 0.0664918 | − | 0.149343i | ||||
\(538\) | −4.35880 | − | 5.99938i | −0.187921 | − | 0.258652i | ||||
\(539\) | 0.478531 | − | 0.877776i | 0.0206118 | − | 0.0378085i | ||||
\(540\) | −0.605508 | + | 0.103535i | −0.0260569 | + | 0.00445546i | ||||
\(541\) | 37.5468 | + | 16.7169i | 1.61426 | + | 0.718717i | 0.997648 | − | 0.0685469i | \(-0.0218363\pi\) |
0.616616 | + | 0.787264i | \(0.288503\pi\) | |||||||
\(542\) | −3.19847 | + | 2.87992i | −0.137386 | + | 0.123703i | ||||
\(543\) | 4.72973 | + | 2.73071i | 0.202972 | + | 0.117186i | ||||
\(544\) | 4.52403 | − | 0.961613i | 0.193966 | − | 0.0412288i | ||||
\(545\) | −3.68986 | + | 7.46689i | −0.158056 | + | 0.319846i | ||||
\(546\) | 2.96539 | + | 3.97821i | 0.126907 | + | 0.170251i | ||||
\(547\) | 8.10774 | − | 2.63436i | 0.346662 | − | 0.112637i | −0.130511 | − | 0.991447i | \(-0.541662\pi\) |
0.477172 | + | 0.878810i | \(0.341662\pi\) | |||||||
\(548\) | −2.57500 | − | 0.270644i | −0.109999 | − | 0.0115613i | ||||
\(549\) | 2.50529 | − | 4.33930i | 0.106923 | − | 0.185197i | ||||
\(550\) | 0.665367 | + | 0.703452i | 0.0283713 | + | 0.0299953i | ||||
\(551\) | −2.49327 | − | 4.31848i | −0.106217 | − | 0.183973i | ||||
\(552\) | −3.53570 | + | 4.86647i | −0.150489 | + | 0.207131i | ||||
\(553\) | 27.7771 | + | 11.9620i | 1.18120 | + | 0.508676i | ||||
\(554\) | −4.11153 | − | 12.6540i | −0.174682 | − | 0.537616i | ||||
\(555\) | 2.15380 | + | 5.41140i | 0.0914238 | + | 0.229701i | ||||
\(556\) | 0.354002 | + | 0.393159i | 0.0150130 | + | 0.0166737i | ||||
\(557\) | −30.0382 | − | 17.3425i | −1.27276 | − | 0.734827i | −0.297252 | − | 0.954799i | \(-0.596070\pi\) |
−0.975506 | + | 0.219972i | \(0.929403\pi\) | |||||||
\(558\) | −0.306812 | − | 1.44344i | −0.0129884 | − | 0.0611056i | ||||
\(559\) | 5.27057 | − | 3.82929i | 0.222921 | − | 0.161962i | ||||
\(560\) | −13.1779 | + | 17.1145i | −0.556866 | + | 0.723218i | ||||
\(561\) | 0.168719 | + | 0.122581i | 0.00712331 | + | 0.00517539i | ||||
\(562\) | 11.9298 | − | 26.7948i | 0.503230 | − | 1.13027i | ||||
\(563\) | −0.649382 | + | 0.0682528i | −0.0273682 | + | 0.00287651i | −0.118203 | − | 0.992989i | \(-0.537713\pi\) |
0.0908345 | + | 0.995866i | \(0.471047\pi\) | |||||||
\(564\) | −0.296156 | + | 0.131857i | −0.0124704 | + | 0.00555220i | ||||
\(565\) | −1.07488 | − | 16.6076i | −0.0452204 | − | 0.698689i | ||||
\(566\) | −23.4352 | + | 17.0267i | −0.985055 | + | 0.715684i | ||||
\(567\) | −10.6977 | + | 19.0640i | −0.449262 | + | 0.800615i | ||||
\(568\) | 13.7341i | 0.576271i | ||||||||
\(569\) | −3.24739 | + | 0.690255i | −0.136138 | + | 0.0289370i | −0.275477 | − | 0.961308i | \(-0.588836\pi\) |
0.139339 | + | 0.990245i | \(0.455502\pi\) | |||||||
\(570\) | −0.446020 | + | 0.564823i | −0.0186817 | + | 0.0236578i | ||||
\(571\) | −27.3242 | − | 5.80794i | −1.14348 | − | 0.243055i | −0.403045 | − | 0.915180i | \(-0.632048\pi\) |
−0.740437 | + | 0.672126i | \(0.765381\pi\) | |||||||
\(572\) | 0.0824021 | + | 0.0741952i | 0.00344540 | + | 0.00310226i | ||||
\(573\) | −2.49158 | + | 3.42937i | −0.104087 | + | 0.143264i | ||||
\(574\) | −9.23962 | − | 8.11686i | −0.385654 | − | 0.338791i | ||||
\(575\) | 11.8564 | + | 33.6565i | 0.494448 | + | 1.40357i | ||||
\(576\) | 12.4529 | + | 21.5690i | 0.518870 | + | 0.898709i | ||||
\(577\) | 4.83939 | + | 10.8694i | 0.201466 | + | 0.452501i | 0.985818 | − | 0.167815i | \(-0.0536712\pi\) |
−0.784352 | + | 0.620316i | \(0.787004\pi\) | |||||||
\(578\) | −2.47526 | + | 11.6452i | −0.102957 | + | 0.484375i | ||||
\(579\) | 0.762869 | − | 0.847252i | 0.0317038 | − | 0.0352106i | ||||
\(580\) | 0.966179 | − | 1.95518i | 0.0401184 | − | 0.0811846i | ||||
\(581\) | −0.504987 | − | 41.2604i | −0.0209504 | − | 1.71177i | ||||
\(582\) | − | 1.71291i | − | 0.0710022i | ||||||
\(583\) | 0.0672343 | + | 0.316313i | 0.00278456 | + | 0.0131003i | ||||
\(584\) | 3.10431 | + | 29.5356i | 0.128457 | + | 1.22219i | ||||
\(585\) | 10.8825 | − | 29.4242i | 0.449936 | − | 1.21654i | ||||
\(586\) | −0.543230 | + | 5.16849i | −0.0224406 | + | 0.213508i | ||||
\(587\) | −2.61107 | − | 3.59382i | −0.107770 | − | 0.148333i | 0.751725 | − | 0.659477i | \(-0.229222\pi\) |
−0.859495 | + | 0.511144i | \(0.829222\pi\) | |||||||
\(588\) | 0.0753287 | + | 0.316138i | 0.00310651 | + | 0.0130373i | ||||
\(589\) | 0.249104 | + | 0.180985i | 0.0102642 | + | 0.00745735i | ||||
\(590\) | −5.34243 | + | 8.45192i | −0.219945 | + | 0.347960i | ||||
\(591\) | −0.599796 | − | 5.70668i | −0.0246723 | − | 0.234741i | ||||
\(592\) | 24.5740 | − | 22.1266i | 1.00999 | − | 0.909396i | ||||
\(593\) | −1.72608 | + | 0.996551i | −0.0708815 | + | 0.0409234i | −0.535022 | − | 0.844838i | \(-0.679697\pi\) |
0.464140 | + | 0.885762i | \(0.346363\pi\) | |||||||
\(594\) | −0.101838 | + | 0.313424i | −0.00417845 | + | 0.0128599i | ||||
\(595\) | 14.2890 | + | 26.4221i | 0.585791 | + | 1.08320i | ||||
\(596\) | 0.538530 | + | 1.65742i | 0.0220590 | + | 0.0678907i | ||||
\(597\) | −1.01502 | − | 0.913924i | −0.0415418 | − | 0.0374044i | ||||
\(598\) | −18.9292 | − | 42.5158i | −0.774074 | − | 1.73860i | ||||
\(599\) | −4.67970 | + | 8.10548i | −0.191207 | + | 0.331181i | −0.945651 | − | 0.325184i | \(-0.894574\pi\) |
0.754443 | + | 0.656365i | \(0.227907\pi\) | |||||||
\(600\) | −4.20076 | − | 0.337524i | −0.171495 | − | 0.0137794i | ||||
\(601\) | 5.74535 | 0.234358 | 0.117179 | − | 0.993111i | \(-0.462615\pi\) | ||||
0.117179 | + | 0.993111i | \(0.462615\pi\) | |||||||
\(602\) | −4.74079 | + | 1.06849i | −0.193220 | + | 0.0435483i | ||||
\(603\) | 31.1664 | − | 10.1266i | 1.26919 | − | 0.412386i | ||||
\(604\) | −1.87965 | + | 2.08756i | −0.0764819 | + | 0.0849418i | ||||
\(605\) | 23.6348 | − | 6.64484i | 0.960892 | − | 0.270151i | ||||
\(606\) | −1.96295 | − | 2.18008i | −0.0797395 | − | 0.0885597i | ||||
\(607\) | 9.08358 | − | 5.24441i | 0.368691 | − | 0.212864i | −0.304195 | − | 0.952610i | \(-0.598388\pi\) |
0.672886 | + | 0.739746i | \(0.265054\pi\) | |||||||
\(608\) | −0.715047 | − | 0.232333i | −0.0289990 | − | 0.00942234i | ||||
\(609\) | 1.92102 | + | 4.17636i | 0.0778436 | + | 0.169235i | ||||
\(610\) | 3.63683 | − | 3.72720i | 0.147251 | − | 0.150910i | ||||
\(611\) | 3.51022 | − | 33.3975i | 0.142008 | − | 1.35112i | ||||
\(612\) | 2.37812 | − | 0.249950i | 0.0961297 | − | 0.0101036i | ||||
\(613\) | −13.0378 | + | 1.37033i | −0.526592 | + | 0.0553470i | −0.364095 | − | 0.931362i | \(-0.618621\pi\) |
−0.162497 | + | 0.986709i | \(0.551955\pi\) | |||||||
\(614\) | 2.75066 | − | 26.1708i | 0.111008 | − | 1.05617i | ||||
\(615\) | 0.318124 | − | 2.18149i | 0.0128280 | − | 0.0879663i | ||||
\(616\) | −0.462784 | − | 1.00611i | −0.0186461 | − | 0.0405373i | ||||
\(617\) | −41.5637 | − | 13.5049i | −1.67329 | − | 0.543685i | −0.689700 | − | 0.724095i | \(-0.742257\pi\) |
−0.983591 | + | 0.180410i | \(0.942257\pi\) | |||||||
\(618\) | −6.23505 | + | 3.59981i | −0.250811 | + | 0.144806i | ||||
\(619\) | −24.8400 | − | 27.5877i | −0.998405 | − | 1.10884i | −0.994058 | − | 0.108851i | \(-0.965283\pi\) |
−0.00434711 | − | 0.999991i | \(-0.501384\pi\) | |||||||
\(620\) | −0.00539702 | + | 0.134557i | −0.000216749 | + | 0.00540394i | ||||
\(621\) | −8.12660 | + | 9.02550i | −0.326109 | + | 0.362181i | ||||
\(622\) | −3.51326 | + | 1.14153i | −0.140869 | + | 0.0457711i | ||||
\(623\) | −35.2999 | + | 7.95595i | −1.41426 | + | 0.318748i | ||||
\(624\) | 5.04978 | 0.202153 | ||||||||
\(625\) | −15.7965 | + | 19.3771i | −0.631860 | + | 0.775082i | ||||
\(626\) | −17.3163 | + | 29.9926i | −0.692097 | + | 1.19875i | ||||
\(627\) | −0.0137888 | − | 0.0309701i | −0.000550671 | − | 0.00123683i | ||||
\(628\) | 0.997712 | + | 0.898344i | 0.0398131 | + | 0.0358478i | ||||
\(629\) | −14.2105 | − | 43.7353i | −0.566608 | − | 1.74384i | ||||
\(630\) | −16.1372 | + | 16.9483i | −0.642922 | + | 0.675237i | ||||
\(631\) | −0.484202 | + | 1.49022i | −0.0192758 | + | 0.0593247i | −0.960232 | − | 0.279204i | \(-0.909929\pi\) |
0.940956 | + | 0.338529i | \(0.109929\pi\) | |||||||
\(632\) | 29.0130 | − | 16.7506i | 1.15407 | − | 0.666304i | ||||
\(633\) | 0.425500 | − | 0.383122i | 0.0169121 | − | 0.0152277i | ||||
\(634\) | −1.47028 | − | 13.9888i | −0.0583923 | − | 0.555565i | ||||
\(635\) | −30.1607 | + | 12.0043i | −1.19689 | + | 0.476376i | ||||
\(636\) | −0.0850453 | − | 0.0617890i | −0.00337227 | − | 0.00245009i | ||||
\(637\) | −32.2622 | − | 9.61630i | −1.27828 | − | 0.381012i | ||||
\(638\) | −0.687699 | − | 0.946537i | −0.0272263 | − | 0.0374737i | ||||
\(639\) | −1.42900 | + | 13.5961i | −0.0565305 | + | 0.537852i | ||||
\(640\) | 5.90322 | + | 20.9970i | 0.233345 | + | 0.829978i | ||||
\(641\) | −3.49220 | − | 33.2260i | −0.137933 | − | 1.31235i | −0.816301 | − | 0.577627i | \(-0.803979\pi\) |
0.678368 | − | 0.734723i | \(-0.262688\pi\) | |||||||
\(642\) | 0.251711 | + | 1.18421i | 0.00993425 | + | 0.0467370i | ||||
\(643\) | 1.80161i | 0.0710485i | 0.999369 | + | 0.0355242i | \(0.0113101\pi\) | ||||
−0.999369 | + | 0.0355242i | \(0.988690\pi\) | |||||||
\(644\) | −0.0373045 | − | 3.04799i | −0.00147000 | − | 0.120108i | ||||
\(645\) | −0.623490 | − | 0.608372i | −0.0245499 | − | 0.0239546i | ||||
\(646\) | 3.80227 | − | 4.22284i | 0.149598 | − | 0.166146i | ||||
\(647\) | 0.0895664 | − | 0.421377i | 0.00352122 | − | 0.0165660i | −0.976352 | − | 0.216187i | \(-0.930638\pi\) |
0.979873 | + | 0.199621i | \(0.0639712\pi\) | |||||||
\(648\) | 9.84929 | + | 22.1219i | 0.386917 | + | 0.869029i | ||||
\(649\) | −0.235496 | − | 0.407891i | −0.00924403 | − | 0.0160111i | ||||
\(650\) | 18.5118 | − | 26.8406i | 0.726093 | − | 1.05278i | ||||
\(651\) | −0.213254 | − | 0.187340i | −0.00835809 | − | 0.00734245i | ||||
\(652\) | −1.30042 | + | 1.78987i | −0.0509284 | + | 0.0700969i | ||||
\(653\) | −27.9831 | − | 25.1961i | −1.09506 | − | 0.985999i | −0.0951078 | − | 0.995467i | \(-0.530320\pi\) |
−0.999955 | + | 0.00946787i | \(0.996986\pi\) | |||||||
\(654\) | −1.42075 | − | 0.301989i | −0.0555556 | − | 0.0118087i | ||||
\(655\) | −31.6927 | − | 11.7215i | −1.23834 | − | 0.457998i | ||||
\(656\) | −12.2430 | + | 2.60234i | −0.478010 | + | 0.101604i | ||||
\(657\) | 29.5617i | 1.15331i | ||||||||
\(658\) | −12.2586 | + | 21.8457i | −0.477891 | + | 0.851634i | ||||
\(659\) | 11.2546 | − | 8.17693i | 0.438416 | − | 0.318528i | −0.346589 | − | 0.938017i | \(-0.612660\pi\) |
0.785005 | + | 0.619489i | \(0.212660\pi\) | |||||||
\(660\) | 0.00792200 | − | 0.0125329i | 0.000308363 | − | 0.000487841i | ||||
\(661\) | −38.4504 | + | 17.1192i | −1.49555 | + | 0.665860i | −0.981423 | − | 0.191857i | \(-0.938549\pi\) |
−0.514123 | + | 0.857717i | \(0.671882\pi\) | |||||||
\(662\) | −17.6731 | + | 1.85752i | −0.686885 | + | 0.0721945i | ||||
\(663\) | 2.85633 | − | 6.41542i | 0.110931 | − | 0.249154i | ||||
\(664\) | −36.9791 | − | 26.8669i | −1.43507 | − | 1.04264i | ||||
\(665\) | 0.135971 | − | 4.88107i | 0.00527273 | − | 0.189280i | ||||
\(666\) | 28.9841 | − | 21.0582i | 1.12311 | − | 0.815988i | ||||
\(667\) | −8.96460 | − | 42.1751i | −0.347111 | − | 1.63303i | ||||
\(668\) | 2.41246 | + | 1.39283i | 0.0933408 | + | 0.0538903i | ||||
\(669\) | −3.13432 | − | 3.48102i | −0.121180 | − | 0.134584i | ||||
\(670\) | 33.9873 | − | 2.19972i | 1.31304 | − | 0.0849826i | ||||
\(671\) | 0.0758020 | + | 0.233295i | 0.00292630 | + | 0.00900624i | ||||
\(672\) | 0.636589 | + | 0.274143i | 0.0245570 | + | 0.0105753i | ||||
\(673\) | 26.2517 | − | 36.1323i | 1.01193 | − | 1.39280i | 0.0942163 | − | 0.995552i | \(-0.469965\pi\) |
0.917712 | − | 0.397247i | \(-0.130035\pi\) | |||||||
\(674\) | 6.99124 | + | 12.1092i | 0.269292 | + | 0.466428i | ||||
\(675\) | −8.36374 | − | 1.56429i | −0.321921 | − | 0.0602095i | ||||
\(676\) | 0.817589 | − | 1.41611i | 0.0314457 | − | 0.0544656i | ||||
\(677\) | −6.40589 | − | 0.673286i | −0.246198 | − | 0.0258765i | −0.0193745 | − | 0.999812i | \(-0.506167\pi\) |
−0.226824 | + | 0.973936i | \(0.572834\pi\) | |||||||
\(678\) | 2.76026 | − | 0.896863i | 0.106007 | − | 0.0344438i | ||||
\(679\) | 6.94561 | + | 9.31784i | 0.266548 | + | 0.357586i | ||||
\(680\) | 32.9261 | + | 4.80156i | 1.26266 | + | 0.184131i | ||||
\(681\) | 0.309859 | − | 0.0658626i | 0.0118738 | − | 0.00252386i | ||||
\(682\) | 0.0625653 | + | 0.0361221i | 0.00239575 | + | 0.00138319i | ||||
\(683\) | 27.8772 | − | 25.1007i | 1.06669 | − | 0.960453i | 0.0673864 | − | 0.997727i | \(-0.478534\pi\) |
0.999305 | + | 0.0372736i | \(0.0118673\pi\) | |||||||
\(684\) | −0.355104 | − | 0.158102i | −0.0135777 | − | 0.00604520i | ||||
\(685\) | −32.1520 | − | 15.8883i | −1.22846 | − | 0.607061i | ||||
\(686\) | 19.2663 | + | 16.1071i | 0.735591 | + | 0.614970i | ||||
\(687\) | 1.04288 | + | 1.43540i | 0.0397884 | + | 0.0547641i | ||||
\(688\) | −2.01166 | + | 4.51826i | −0.0766938 | + | 0.172257i | ||||
\(689\) | 9.94791 | − | 4.42909i | 0.378985 | − | 0.168735i | ||||
\(690\) | −5.17706 | + | 3.45308i | −0.197087 | + | 0.131456i | ||||
\(691\) | 16.4183 | + | 7.30988i | 0.624580 | + | 0.278081i | 0.694524 | − | 0.719470i | \(-0.255615\pi\) |
−0.0699433 | + | 0.997551i | \(0.522282\pi\) | |||||||
\(692\) | −0.885999 | − | 0.287879i | −0.0336806 | − | 0.0109435i | ||||
\(693\) | −0.353449 | − | 1.04415i | −0.0134264 | − | 0.0396639i | ||||
\(694\) | 2.07029 | − | 6.37169i | 0.0785870 | − | 0.241866i | ||||
\(695\) | 2.70986 | + | 6.80851i | 0.102791 | + | 0.258261i | ||||
\(696\) | 4.98093 | + | 1.05873i | 0.188802 | + | 0.0401310i | ||||
\(697\) | −3.61898 | + | 17.0260i | −0.137079 | + | 0.644904i | ||||
\(698\) | −22.2442 | − | 2.33795i | −0.841954 | − | 0.0884929i | ||||
\(699\) | −2.97977 | −0.112705 | ||||||||
\(700\) | 1.80895 | − | 1.13508i | 0.0683718 | − | 0.0429019i | ||||
\(701\) | −14.1055 | −0.532756 | −0.266378 | − | 0.963869i | \(-0.585827\pi\) | ||||
−0.266378 | + | 0.963869i | \(0.585827\pi\) | |||||||
\(702\) | 11.0365 | + | 1.15998i | 0.416544 | + | 0.0437805i | ||||
\(703\) | −1.55422 | + | 7.31201i | −0.0586183 | + | 0.275778i | ||||
\(704\) | −1.19265 | − | 0.253506i | −0.0449498 | − | 0.00955437i | ||||
\(705\) | −4.48097 | + | 0.290017i | −0.168763 | + | 0.0109227i | ||||
\(706\) | 13.2681 | − | 40.8350i | 0.499351 | − | 1.53685i | ||||
\(707\) | 19.5180 | + | 3.89965i | 0.734050 | + | 0.146661i | ||||
\(708\) | 0.145613 | + | 0.0473126i | 0.00547248 | + | 0.00177812i | ||||
\(709\) | −41.2318 | − | 18.3576i | −1.54849 | − | 0.689433i | −0.558364 | − | 0.829596i | \(-0.688571\pi\) |
−0.990128 | + | 0.140163i | \(0.955237\pi\) | |||||||
\(710\) | −4.92866 | + | 13.3261i | −0.184969 | + | 0.500121i | ||||
\(711\) | 30.4642 | − | 13.5635i | 1.14250 | − | 0.508672i | ||||
\(712\) | −16.3034 | + | 36.6180i | −0.610996 | + | 1.37232i | ||||
\(713\) | 1.56493 | + | 2.15394i | 0.0586070 | + | 0.0806656i | ||||
\(714\) | −3.84976 | + | 3.55260i | −0.144074 | + | 0.132953i | ||||
\(715\) | 0.714009 | + | 1.35981i | 0.0267024 | + | 0.0508539i | ||||
\(716\) | 1.94265 | + | 0.864923i | 0.0726002 | + | 0.0323237i | ||||
\(717\) | 1.53447 | − | 1.38164i | 0.0573057 | − | 0.0515982i | ||||
\(718\) | 31.8148 | + | 18.3683i | 1.18732 | + | 0.685499i | ||||
\(719\) | 0.0315305 | − | 0.00670202i | 0.00117589 | − | 0.000249943i | −0.207324 | − | 0.978272i | \(-0.566475\pi\) |
0.208500 | + | 0.978022i | \(0.433142\pi\) | |||||||
\(720\) | 4.01417 | + | 23.4762i | 0.149599 | + | 0.874905i | ||||
\(721\) | 19.3206 | − | 44.8645i | 0.719536 | − | 1.67084i | ||||
\(722\) | 23.6234 | − | 7.67570i | 0.879171 | − | 0.285660i | ||||
\(723\) | 5.77168 | + | 0.606627i | 0.214651 | + | 0.0225607i | ||||
\(724\) | −1.53284 | + | 2.65496i | −0.0569677 | + | 0.0986709i | ||||
\(725\) | 21.9460 | − | 20.7579i | 0.815056 | − | 0.770928i | ||||
\(726\) | 2.14077 | + | 3.70792i | 0.0794514 | + | 0.137614i | ||||
\(727\) | 20.9280 | − | 28.8050i | 0.776178 | − | 1.06832i | −0.219516 | − | 0.975609i | \(-0.570448\pi\) |
0.995693 | − | 0.0927080i | \(-0.0295523\pi\) | |||||||
\(728\) | −29.8989 | + | 22.2870i | −1.10813 | + | 0.826009i | ||||
\(729\) | 6.99485 | + | 21.5279i | 0.259069 | + | 0.797331i | ||||
\(730\) | −7.58710 | + | 29.7722i | −0.280811 | + | 1.10192i | ||||
\(731\) | 4.60230 | + | 5.11137i | 0.170222 | + | 0.189051i | ||||
\(732\) | −0.0690573 | − | 0.0398702i | −0.00255243 | − | 0.00147365i | ||||
\(733\) | −6.03495 | − | 28.3922i | −0.222906 | − | 1.04869i | −0.937186 | − | 0.348830i | \(-0.886579\pi\) |
0.714280 | − | 0.699860i | \(-0.246754\pi\) | |||||||
\(734\) | −22.9804 | + | 16.6963i | −0.848224 | + | 0.616270i | ||||
\(735\) | −0.540363 | + | 4.46894i | −0.0199316 | + | 0.164839i | ||||
\(736\) | −5.25942 | − | 3.82119i | −0.193865 | − | 0.140851i | ||||
\(737\) | −0.652533 | + | 1.46561i | −0.0240364 | + | 0.0539866i | ||||
\(738\) | −13.4865 | + | 1.41749i | −0.496444 | + | 0.0521784i | ||||
\(739\) | −33.6345 | + | 14.9750i | −1.23727 | + | 0.550866i | −0.917917 | − | 0.396772i | \(-0.870130\pi\) |
−0.319348 | + | 0.947638i | \(0.603464\pi\) | |||||||
\(740\) | −3.03761 | + | 1.20901i | −0.111665 | + | 0.0444439i | ||||
\(741\) | −0.923548 | + | 0.670997i | −0.0339274 | + | 0.0246497i | ||||
\(742\) | −8.12230 | + | 0.0994090i | −0.298179 | + | 0.00364942i | ||||
\(743\) | − | 15.3528i | − | 0.563240i | −0.959526 | − | 0.281620i | \(-0.909128\pi\) | ||
0.959526 | − | 0.281620i | \(-0.0908718\pi\) | |||||||
\(744\) | −0.307563 | + | 0.0653745i | −0.0112758 | + | 0.00239674i | ||||
\(745\) | −0.967419 | + | 24.1194i | −0.0354435 | + | 0.883668i | ||||
\(746\) | −1.85489 | − | 0.394269i | −0.0679123 | − | 0.0144352i | ||||
\(747\) | −33.8119 | − | 30.4444i | −1.23711 | − | 1.11390i | ||||
\(748\) | −0.0688093 | + | 0.0947079i | −0.00251592 | + | 0.00346286i | ||||
\(749\) | −6.17107 | − | 5.42118i | −0.225486 | − | 0.198086i | ||||
\(750\) | −3.95485 | − | 1.83499i | −0.144411 | − | 0.0670044i | ||||
\(751\) | 22.6383 | + | 39.2107i | 0.826083 | + | 1.43082i | 0.901089 | + | 0.433634i | \(0.142769\pi\) |
−0.0750064 | + | 0.997183i | \(0.523898\pi\) | |||||||
\(752\) | 10.3694 | + | 23.2901i | 0.378134 | + | 0.849303i | ||||
\(753\) | −1.59507 | + | 7.50423i | −0.0581277 | + | 0.273469i | ||||
\(754\) | −26.3621 | + | 29.2781i | −0.960051 | + | 1.06624i | ||||
\(755\) | −34.4492 | + | 18.0886i | −1.25373 | + | 0.658313i | ||||
\(756\) | 0.633867 | + | 0.355692i | 0.0230535 | + | 0.0129364i | ||||
\(757\) | − | 28.8407i | − | 1.04823i | −0.851647 | − | 0.524116i | \(-0.824396\pi\) | ||
0.851647 | − | 0.524116i | \(-0.175604\pi\) | |||||||
\(758\) | −4.14748 | − | 19.5124i | −0.150643 | − | 0.708721i | ||||
\(759\) | −0.0306407 | − | 0.291527i | −0.00111219 | − | 0.0105818i | ||||
\(760\) | −4.24503 | − | 3.35215i | −0.153983 | − | 0.121595i | ||||
\(761\) | 2.19935 | − | 20.9254i | 0.0797264 | − | 0.758546i | −0.879499 | − | 0.475902i | \(-0.842122\pi\) |
0.959225 | − | 0.282644i | \(-0.0912115\pi\) | |||||||
\(762\) | −3.32751 | − | 4.57993i | −0.120543 | − | 0.165913i | ||||
\(763\) | 8.95308 | − | 4.11819i | 0.324123 | − | 0.149088i | ||||
\(764\) | −1.92503 | − | 1.39861i | −0.0696451 | − | 0.0506001i | ||||
\(765\) | 32.0955 | + | 8.17918i | 1.16042 | + | 0.295719i | ||||
\(766\) | −3.43802 | − | 32.7106i | −0.124221 | − | 1.18188i | ||||
\(767\) | −11.7863 | + | 10.6124i | −0.425578 | + | 0.383192i | ||||
\(768\) | 0.958509 | − | 0.553396i | 0.0345872 | − | 0.0199689i | ||||
\(769\) | −13.9262 | + | 42.8606i | −0.502193 | + | 1.54559i | 0.303245 | + | 0.952913i | \(0.401930\pi\) |
−0.805438 | + | 0.592680i | \(0.798070\pi\) | |||||||
\(770\) | −0.0879818 | − | 1.14230i | −0.00317064 | − | 0.0411655i | ||||
\(771\) | 0.157603 | + | 0.485052i | 0.00567593 | + | 0.0174687i | ||||
\(772\) | 0.475593 | + | 0.428226i | 0.0171170 | + | 0.0154122i | ||||
\(773\) | 0.420904 | + | 0.945366i | 0.0151389 | + | 0.0340024i | 0.920957 | − | 0.389665i | \(-0.127409\pi\) |
−0.905818 | + | 0.423667i | \(0.860743\pi\) | |||||||
\(774\) | −2.67923 | + | 4.64057i | −0.0963031 | + | 0.166802i | ||||
\(775\) | −0.716631 | + | 1.72212i | −0.0257421 | + | 0.0618605i | ||||
\(776\) | 12.8737 | 0.462137 | ||||||||
\(777\) | 2.04918 | − | 6.57966i | 0.0735140 | − | 0.236044i | ||||
\(778\) | −32.9071 | + | 10.6922i | −1.17978 | + | 0.383333i | ||||
\(779\) | 1.89332 | − | 2.10275i | 0.0678354 | − | 0.0753388i | ||||
\(780\) | −0.468268 | − | 0.173188i | −0.0167667 | − | 0.00620114i | ||||
\(781\) | −0.447837 | − | 0.497373i | −0.0160249 | − | 0.0177974i | ||||
\(782\) | 42.5514 | − | 24.5671i | 1.52164 | − | 0.878517i | ||||
\(783\) | 9.77808 | + | 3.17709i | 0.349440 | + | 0.113540i | ||||
\(784\) | 24.8615 | − | 5.92394i | 0.887909 | − | 0.211569i | ||||
\(785\) | 8.64512 | + | 16.4643i | 0.308558 | + | 0.587638i | ||||
\(786\) | 0.615974 | − | 5.86060i | 0.0219711 | − | 0.209041i | ||||
\(787\) | −3.78423 | + | 0.397738i | −0.134893 | + | 0.0141778i | −0.171734 | − | 0.985143i | \(-0.554937\pi\) |
0.0368413 | + | 0.999321i | \(0.488270\pi\) | |||||||
\(788\) | 3.20336 | − | 0.336687i | 0.114115 | − | 0.0119940i | ||||
\(789\) | 0.00204938 | − | 0.0194986i | 7.29600e−5 | − | 0.000694168i | ||||
\(790\) | 34.1622 | − | 5.84138i | 1.21544 | − | 0.207827i | ||||
\(791\) | −11.3786 | + | 16.0712i | −0.404575 | + | 0.571428i | ||||
\(792\) | −1.16133 | − | 0.377340i | −0.0412662 | − | 0.0134082i | ||||
\(793\) | 7.15350 | − | 4.13007i | 0.254028 | − | 0.146663i | ||||
\(794\) | 4.56952 | + | 5.07497i | 0.162166 | + | 0.180104i | ||||
\(795\) | −0.807957 | − | 1.21134i | −0.0286553 | − | 0.0429617i | ||||
\(796\) | 0.513018 | − | 0.569764i | 0.0181834 | − | 0.0201948i | ||||
\(797\) | 41.6324 | − | 13.5272i | 1.47469 | − | 0.479157i | 0.542172 | − | 0.840268i | \(-0.317602\pi\) |
0.932523 | + | 0.361111i | \(0.117602\pi\) | |||||||
\(798\) | 0.830715 | − | 0.187228i | 0.0294070 | − | 0.00662781i | ||||
\(799\) | 35.4539 | 1.25427 | ||||||||
\(800\) | 0.364778 | − | 4.53995i | 0.0128968 | − | 0.160512i | ||||
\(801\) | −19.9496 | + | 34.5536i | −0.704883 | + | 1.22089i | ||||
\(802\) | 16.3805 | + | 36.7912i | 0.578416 | + | 1.29914i | ||||
\(803\) | −1.07550 | − | 0.968388i | −0.0379537 | − | 0.0341737i | ||||
\(804\) | −0.161158 | − | 0.495994i | −0.00568361 | − | 0.0174923i | ||||
\(805\) | 14.1603 | − | 39.7763i | 0.499085 | − | 1.40193i | ||||
\(806\) | 0.751752 | − | 2.31366i | 0.0264793 | − | 0.0814951i | ||||
\(807\) | −1.36211 | + | 0.786417i | −0.0479487 | + | 0.0276832i | ||||
\(808\) | 16.3848 | − | 14.7529i | 0.576415 | − | 0.519006i | ||||
\(809\) | 1.28858 | + | 12.2601i | 0.0453042 | + | 0.431041i | 0.993541 | + | 0.113476i | \(0.0361985\pi\) |
−0.948237 | + | 0.317565i | \(0.897135\pi\) | |||||||
\(810\) | 1.61800 | + | 24.9992i | 0.0568506 | + | 0.878384i | ||||
\(811\) | 42.0610 | + | 30.5591i | 1.47696 | + | 1.07308i | 0.978520 | + | 0.206154i | \(0.0660947\pi\) |
0.498443 | + | 0.866922i | \(0.333905\pi\) | |||||||
\(812\) | −2.34434 | + | 1.07834i | −0.0822702 | + | 0.0378422i | ||||
\(813\) | 0.536565 | + | 0.738518i | 0.0188181 | + | 0.0259010i | ||||
\(814\) | −0.183336 | + | 1.74432i | −0.00642591 | + | 0.0611384i | ||||
\(815\) | −25.4940 | + | 17.0044i | −0.893014 | + | 0.595637i | ||||
\(816\) | 0.557277 | + | 5.30214i | 0.0195086 | + | 0.185612i | ||||
\(817\) | −0.232461 | − | 1.09364i | −0.00813277 | − | 0.0382617i | ||||
\(818\) | − | 28.9974i | − | 1.01387i | ||||||
\(819\) | −31.9173 | + | 18.9520i | −1.11528 | + | 0.662237i | ||||
\(820\) | 1.22455 | + | 0.178574i | 0.0427631 | + | 0.00623609i | ||||
\(821\) | −4.00582 | + | 4.44892i | −0.139804 | + | 0.155268i | −0.808981 | − | 0.587835i | \(-0.799980\pi\) |
0.669177 | + | 0.743103i | \(0.266647\pi\) | |||||||
\(822\) | 1.30035 | − | 6.11766i | 0.0453548 | − | 0.213378i | ||||
\(823\) | −7.80767 | − | 17.5363i | −0.272158 | − | 0.611277i | 0.724822 | − | 0.688936i | \(-0.241922\pi\) |
−0.996980 | + | 0.0776590i | \(0.975255\pi\) | |||||||
\(824\) | −27.0550 | − | 46.8607i | −0.942506 | − | 1.63247i | ||||
\(825\) | 0.163134 | − | 0.124753i | 0.00567959 | − | 0.00434336i | ||||
\(826\) | 11.2061 | − | 3.79333i | 0.389912 | − | 0.131987i | ||||
\(827\) | −3.88032 | + | 5.34080i | −0.134932 | + | 0.185718i | −0.871136 | − | 0.491042i | \(-0.836616\pi\) |
0.736204 | + | 0.676760i | \(0.236616\pi\) | |||||||
\(828\) | −2.49776 | − | 2.24899i | −0.0868032 | − | 0.0781579i | ||||
\(829\) | 5.32594 | + | 1.13206i | 0.184978 | + | 0.0393182i | 0.299469 | − | 0.954106i | \(-0.403190\pi\) |
−0.114491 | + | 0.993424i | \(0.536524\pi\) | |||||||
\(830\) | −26.2390 | − | 39.3391i | −0.910770 | − | 1.36548i | ||||
\(831\) | −2.76032 | + | 0.586724i | −0.0957544 | + | 0.0203532i | ||||
\(832\) | 41.0581i | 1.42343i | ||||||||
\(833\) | 6.53651 | − | 34.9357i | 0.226477 | − | 1.21045i | ||||
\(834\) | −1.03388 | + | 0.751157i | −0.0358003 | + | 0.0260104i | ||||
\(835\) | 24.6484 | + | 29.6859i | 0.852995 | + | 1.02732i | ||||
\(836\) | 0.0173846 | − | 0.00774013i | 0.000601260 | − | 0.000267698i | ||||
\(837\) | −0.631372 | + | 0.0663598i | −0.0218234 | + | 0.00229373i | ||||
\(838\) | −12.7010 | + | 28.5268i | −0.438748 | + | 0.985444i | ||||
\(839\) | 32.8580 | + | 23.8727i | 1.13438 | + | 0.824178i | 0.986327 | − | 0.164801i | \(-0.0526981\pi\) |
0.148057 | + | 0.988979i | \(0.452698\pi\) | |||||||
\(840\) | 3.61129 | + | 3.43846i | 0.124601 | + | 0.118638i | ||||
\(841\) | −6.06822 | + | 4.40882i | −0.209249 | + | 0.152028i | ||||
\(842\) | −4.70068 | − | 22.1150i | −0.161996 | − | 0.762132i | ||||
\(843\) | −5.38748 | − | 3.11046i | −0.185555 | − | 0.107130i | ||||
\(844\) | 0.215060 | + | 0.238848i | 0.00740267 | + | 0.00822150i | ||||
\(845\) | 17.4255 | − | 14.4686i | 0.599456 | − | 0.497734i | ||||
\(846\) | 8.53538 | + | 26.2692i | 0.293452 | + | 0.903154i | ||||
\(847\) | −26.6805 | − | 11.4898i | −0.916752 | − | 0.394793i | ||||
\(848\) | −4.85916 | + | 6.68807i | −0.166864 | + | 0.229669i | ||||
\(849\) | 3.07196 | + | 5.32078i | 0.105429 | + | 0.182609i | ||||
\(850\) | 30.2248 | + | 16.4748i | 1.03670 | + | 0.565083i | ||||
\(851\) | −32.3187 | + | 55.9777i | −1.10787 | + | 1.91889i | ||||
\(852\) | 0.216373 | + | 0.0227417i | 0.00741282 | + | 0.000779119i | ||||
\(853\) | −2.62128 | + | 0.851704i | −0.0897508 | + | 0.0291618i | −0.353548 | − | 0.935416i | \(-0.615025\pi\) |
0.263797 | + | 0.964578i | \(0.415025\pi\) | |||||||
\(854\) | −6.11956 | + | 0.719014i | −0.209407 | + | 0.0246042i | ||||
\(855\) | −3.85358 | − | 3.76014i | −0.131790 | − | 0.128594i | ||||
\(856\) | −8.90013 | + | 1.89178i | −0.304200 | + | 0.0646598i | ||||
\(857\) | 2.51108 | + | 1.44978i | 0.0857770 | + | 0.0495234i | 0.542275 | − | 0.840201i | \(-0.317563\pi\) |
−0.456498 | + | 0.889724i | \(0.650896\pi\) | |||||||
\(858\) | −0.199047 | + | 0.179223i | −0.00679534 | + | 0.00611856i | ||||
\(859\) | 1.67772 | + | 0.746969i | 0.0572431 | + | 0.0254863i | 0.435159 | − | 0.900354i | \(-0.356692\pi\) |
−0.377915 | + | 0.925840i | \(0.623359\pi\) | |||||||
\(860\) | 0.341501 | − | 0.349987i | 0.0116451 | − | 0.0119345i | ||||
\(861\) | −1.91697 | + | 1.76901i | −0.0653302 | + | 0.0602876i | ||||
\(862\) | 5.62061 | + | 7.73611i | 0.191439 | + | 0.263493i | ||||
\(863\) | −2.01755 | + | 4.53148i | −0.0686780 | + | 0.154253i | −0.944623 | − | 0.328158i | \(-0.893572\pi\) |
0.875945 | + | 0.482411i | \(0.160239\pi\) | |||||||
\(864\) | 1.41614 | − | 0.630505i | 0.0481780 | − | 0.0214502i | ||||
\(865\) | −10.1270 | − | 7.99692i | −0.344328 | − | 0.271903i | ||||
\(866\) | 1.29968 | + | 0.578654i | 0.0441649 | + | 0.0196635i | ||||
\(867\) | 2.40149 | + | 0.780293i | 0.0815590 | + | 0.0265001i | ||||
\(868\) | 0.105161 | − | 0.119707i | 0.00356939 | − | 0.00406312i | ||||
\(869\) | −0.504489 | + | 1.55266i | −0.0171136 | + | 0.0526703i | ||||
\(870\) | 4.45303 | + | 2.81475i | 0.150972 | + | 0.0954288i | ||||
\(871\) | 52.8425 | + | 11.2320i | 1.79050 | + | 0.380582i | ||||
\(872\) | 2.26965 | − | 10.6779i | 0.0768602 | − | 0.361599i | ||||
\(873\) | 12.7443 | + | 1.33948i | 0.431328 | + | 0.0453344i | ||||
\(874\) | −7.98712 | −0.270168 | ||||||||
\(875\) | 28.9542 | − | 6.05442i | 0.978830 | − | 0.204677i | ||||
\(876\) | 0.470456 | 0.0158952 | ||||||||
\(877\) | 20.2217 | + | 2.12539i | 0.682838 | + | 0.0717692i | 0.439595 | − | 0.898196i | \(-0.355122\pi\) |
0.243243 | + | 0.969965i | \(0.421789\pi\) | |||||||
\(878\) | −2.23928 | + | 10.5350i | −0.0755721 | + | 0.355539i | ||||
\(879\) | 1.07817 | + | 0.229173i | 0.0363658 | + | 0.00772980i | ||||
\(880\) | −0.985600 | − | 0.622995i | −0.0332246 | − | 0.0210012i | ||||
\(881\) | −1.46453 | + | 4.50737i | −0.0493413 | + | 0.151857i | −0.972691 | − | 0.232102i | \(-0.925440\pi\) |
0.923350 | + | 0.383959i | \(0.125440\pi\) | |||||||
\(882\) | 27.4589 | − | 3.56746i | 0.924589 | − | 0.120123i | ||||
\(883\) | −31.7053 | − | 10.3017i | −1.06697 | − | 0.346678i | −0.277661 | − | 0.960679i | \(-0.589559\pi\) |
−0.789306 | + | 0.614001i | \(0.789559\pi\) | |||||||
\(884\) | 3.60121 | + | 1.60336i | 0.121122 | + | 0.0539268i | ||||
\(885\) | 1.66436 | + | 1.31429i | 0.0559469 | + | 0.0441792i | ||||
\(886\) | 25.5020 | − | 11.3542i | 0.856758 | − | 0.381453i | ||||
\(887\) | 20.6082 | − | 46.2868i | 0.691956 | − | 1.55416i | −0.134349 | − | 0.990934i | \(-0.542894\pi\) |
0.826304 | − | 0.563224i | \(-0.190439\pi\) | |||||||
\(888\) | −4.48701 | − | 6.17584i | −0.150574 | − | 0.207248i | ||||
\(889\) | 36.6720 | + | 11.4212i | 1.22994 | + | 0.383055i | ||||
\(890\) | −28.9599 | + | 29.6796i | −0.970739 | + | 0.994861i | ||||
\(891\) | −1.07803 | − | 0.479968i | −0.0361153 | − | 0.0160795i | ||||
\(892\) | 1.95402 | − | 1.75941i | 0.0654254 | − | 0.0589093i | ||||
\(893\) | −4.99115 | − | 2.88164i | −0.167023 | − | 0.0964305i | ||||
\(894\) | −4.11764 | + | 0.875232i | −0.137715 | + | 0.0292721i | ||||
\(895\) | 21.0816 | + | 20.5704i | 0.704679 | + | 0.687592i | ||||
\(896\) | 10.2074 | − | 23.7027i | 0.341005 | − | 0.791852i | ||||
\(897\) | −9.38772 | + | 3.05026i | −0.313447 | + | 0.101845i | ||||
\(898\) | −19.7555 | − | 2.07639i | −0.659250 | − | 0.0692899i | ||||
\(899\) | 1.12692 | − | 1.95189i | 0.0375850 | − | 0.0650992i | ||||
\(900\) | 0.432908 | − | 2.31462i | 0.0144303 | − | 0.0771540i | ||||
\(901\) | 5.74825 | + | 9.95626i | 0.191502 | + | 0.331691i | ||||
\(902\) | 0.390223 | − | 0.537095i | 0.0129930 | − | 0.0178833i | ||||
\(903\) | 0.120277 | + | 1.02369i | 0.00400258 | + | 0.0340661i | ||||
\(904\) | 6.74054 | + | 20.7452i | 0.224187 | + | 0.689977i | ||||
\(905\) | −32.6700 | + | 27.1261i | −1.08599 | + | 0.901704i | ||||
\(906\) | −4.54040 | − | 5.04263i | −0.150845 | − | 0.167530i | ||||
\(907\) | −43.9780 | − | 25.3907i | −1.46027 | − | 0.843085i | −0.461242 | − | 0.887274i | \(-0.652596\pi\) |
−0.999023 | + | 0.0441895i | \(0.985929\pi\) | |||||||
\(908\) | 0.0369710 | + | 0.173935i | 0.00122693 | + | 0.00577224i | ||||
\(909\) | 17.7551 | − | 12.8998i | 0.588900 | − | 0.427861i | ||||
\(910\) | −37.0087 | + | 10.8953i | −1.22683 | + | 0.361175i | ||||
\(911\) | −4.32719 | − | 3.14388i | −0.143366 | − | 0.104162i | 0.513790 | − | 0.857916i | \(-0.328241\pi\) |
−0.657156 | + | 0.753754i | \(0.728241\pi\) | |||||||
\(912\) | 0.352498 | − | 0.791723i | 0.0116724 | − | 0.0262166i | ||||
\(913\) | 2.21524 | − | 0.232831i | 0.0733137 | − | 0.00770558i | ||||
\(914\) | 42.8222 | − | 19.0657i | 1.41643 | − | 0.630636i | ||||
\(915\) | −0.705568 | − | 0.849767i | −0.0233254 | − | 0.0280924i | ||||
\(916\) | −0.805743 | + | 0.585407i | −0.0266225 | + | 0.0193424i | ||||
\(917\) | 20.4132 | + | 34.3781i | 0.674103 | + | 1.13526i | ||||
\(918\) | 11.7160i | 0.386685i | ||||||||
\(919\) | −36.0168 | + | 7.65560i | −1.18808 | + | 0.252535i | −0.759220 | − | 0.650834i | \(-0.774419\pi\) |
−0.428864 | + | 0.903369i | \(0.641086\pi\) | |||||||
\(920\) | −25.9522 | − | 38.9091i | −0.855620 | − | 1.28280i | ||||
\(921\) | −5.45935 | − | 1.16042i | −0.179892 | − | 0.0382372i | ||||
\(922\) | 15.9726 | + | 14.3818i | 0.526028 | + | 0.473638i | ||||
\(923\) | −13.2470 | + | 18.2329i | −0.436030 | + | 0.600143i | ||||
\(924\) | −0.0166170 | + | 0.00562492i | −0.000546658 | + | 0.000185046i | ||||
\(925\) | −45.2712 | + | 1.11134i | −1.48851 | + | 0.0365408i | ||||
\(926\) | 8.83508 | + | 15.3028i | 0.290339 | + | 0.502882i | ||||
\(927\) | −21.9073 | − | 49.2047i | −0.719531 | − | 1.61609i | ||||
\(928\) | −1.14422 | + | 5.38312i | −0.0375608 | + | 0.176710i | ||||
\(929\) | 7.25628 | − | 8.05891i | 0.238071 | − | 0.264404i | −0.612256 | − | 0.790660i | \(-0.709738\pi\) |
0.850327 | + | 0.526255i | \(0.176404\pi\) | |||||||
\(930\) | −0.321887 | − | 0.0469402i | −0.0105551 | − | 0.00153923i | ||||
\(931\) | −3.75973 | + | 4.38692i | −0.123220 | + | 0.143776i | ||||
\(932\) | − | 1.67265i | − | 0.0547895i | ||||||
\(933\) | 0.162899 | + | 0.766377i | 0.00533306 | + | 0.0250901i | ||||
\(934\) | −4.32944 | − | 41.1919i | −0.141664 | − | 1.34784i | ||||
\(935\) | −1.34897 | + | 0.899754i | −0.0441159 | + | 0.0294251i | ||||
\(936\) | −4.29808 | + | 40.8935i | −0.140487 | + | 1.33665i | ||||
\(937\) | −22.6610 | − | 31.1902i | −0.740302 | − | 1.01894i | −0.998601 | − | 0.0528734i | \(-0.983162\pi\) |
0.258299 | − | 0.966065i | \(-0.416838\pi\) | |||||||
\(938\) | −32.8896 | − | 23.2861i | −1.07388 | − | 0.760317i | ||||
\(939\) | 5.94259 | + | 4.31755i | 0.193929 | + | 0.140898i | ||||
\(940\) | −0.162797 | − | 2.51533i | −0.00530984 | − | 0.0820410i | ||||
\(941\) | −3.12194 | − | 29.7033i | −0.101772 | − | 0.968300i | −0.919605 | − | 0.392844i | \(-0.871491\pi\) |
0.817833 | − | 0.575456i | \(-0.195175\pi\) | |||||||
\(942\) | −2.41003 | + | 2.17000i | −0.0785230 | + | 0.0707024i | ||||
\(943\) | 21.1883 | − | 12.2331i | 0.689987 | − | 0.398364i | ||||
\(944\) | 3.72072 | − | 11.4512i | 0.121099 | − | 0.372705i | ||||
\(945\) | 6.52566 | + | 7.66645i | 0.212280 | + | 0.249390i | ||||
\(946\) | −0.0810649 | − | 0.249492i | −0.00263565 | − | 0.00811168i | ||||
\(947\) | 11.1243 | + | 10.0164i | 0.361492 | + | 0.325489i | 0.829784 | − | 0.558085i | \(-0.188464\pi\) |
−0.468292 | + | 0.883574i | \(0.655130\pi\) | |||||||
\(948\) | −0.215855 | − | 0.484819i | −0.00701066 | − | 0.0157462i | ||||
\(949\) | −24.3668 | + | 42.2045i | −0.790979 | + | 1.37002i | ||||
\(950\) | −2.91596 | − | 4.77594i | −0.0946064 | − | 0.154952i | ||||
\(951\) | −2.98332 | −0.0967407 | ||||||||
\(952\) | −26.7002 | − | 28.9335i | −0.865360 | − | 0.937742i | ||||
\(953\) | −42.1237 | + | 13.6868i | −1.36452 | + | 0.443360i | −0.897550 | − | 0.440913i | \(-0.854655\pi\) |
−0.466971 | + | 0.884273i | \(0.654655\pi\) | |||||||
\(954\) | −5.99312 | + | 6.65604i | −0.194034 | + | 0.215497i | ||||
\(955\) | −18.2884 | − | 27.4190i | −0.591798 | − | 0.887258i | ||||
\(956\) | 0.775563 | + | 0.861350i | 0.0250835 | + | 0.0278580i | ||||
\(957\) | −0.214904 | + | 0.124075i | −0.00694686 | + | 0.00401077i | ||||
\(958\) | 8.76626 | + | 2.84833i | 0.283225 | + | 0.0920254i | ||||
\(959\) | 17.7327 | + | 38.5515i | 0.572618 | + | 1.24489i | ||||
\(960\) | 5.41154 | − | 0.925315i | 0.174657 | − | 0.0298644i | ||||
\(961\) | 3.22584 | − | 30.6918i | 0.104059 | − | 0.990057i | ||||
\(962\) | 58.7375 | − | 6.17356i | 1.89377 | − | 0.199044i | ||||
\(963\) | −9.00751 | + | 0.946728i | −0.290263 | + | 0.0305079i | ||||
\(964\) | −0.340522 | + | 3.23985i | −0.0109675 | + | 0.104348i | ||||
\(965\) | 4.12098 | + | 7.84828i | 0.132659 | + | 0.252645i | ||||
\(966\) | 7.33168 | + | 0.679984i | 0.235893 | + | 0.0218781i | ||||
\(967\) | 43.0905 | + | 14.0009i | 1.38570 | + | 0.450240i | 0.904538 | − | 0.426394i | \(-0.140216\pi\) |
0.481159 | + | 0.876634i | \(0.340216\pi\) | |||||||
\(968\) | −27.8676 | + | 16.0893i | −0.895697 | + | 0.517131i | ||||
\(969\) | −0.806448 | − | 0.895652i | −0.0259069 | − | 0.0287725i | ||||
\(970\) | 12.4912 | + | 4.61987i | 0.401069 | + | 0.148335i | ||||
\(971\) | 15.7647 | − | 17.5085i | 0.505914 | − | 0.561875i | −0.435039 | − | 0.900412i | \(-0.643265\pi\) |
0.940953 | + | 0.338537i | \(0.109932\pi\) | |||||||
\(972\) | 1.14865 | − | 0.373220i | 0.0368431 | − | 0.0119710i | ||||
\(973\) | 2.57823 | − | 8.27837i | 0.0826544 | − | 0.265392i | ||||
\(974\) | −37.3001 | −1.19517 | ||||||||
\(975\) | −5.25122 | − | 4.49985i | −0.168174 | − | 0.144110i | ||||
\(976\) | −3.13544 | + | 5.43075i | −0.100363 | + | 0.173834i | ||||
\(977\) | −0.993512 | − | 2.23146i | −0.0317853 | − | 0.0713909i | 0.896955 | − | 0.442121i | \(-0.145774\pi\) |
−0.928740 | + | 0.370731i | \(0.879107\pi\) | |||||||
\(978\) | −3.97151 | − | 3.57596i | −0.126995 | − | 0.114347i | ||||
\(979\) | −0.603608 | − | 1.85772i | −0.0192914 | − | 0.0593728i | ||||
\(980\) | −2.50858 | − | 0.303325i | −0.0801336 | − | 0.00968936i | ||||
\(981\) | 3.35785 | − | 10.3344i | 0.107208 | − | 0.329952i | ||||
\(982\) | −4.56010 | + | 2.63278i | −0.145519 | + | 0.0840153i | ||||
\(983\) | 7.86290 | − | 7.07979i | 0.250788 | − | 0.225810i | −0.534143 | − | 0.845394i | \(-0.679365\pi\) |
0.784930 | + | 0.619584i | \(0.212699\pi\) | |||||||
\(984\) | 0.302033 | + | 2.87365i | 0.00962847 | + | 0.0916087i | ||||
\(985\) | 43.2332 | + | 11.0175i | 1.37752 | + | 0.351047i | ||||
\(986\) | −33.6504 | − | 24.4485i | −1.07165 | − | 0.778598i | ||||
\(987\) | 4.33624 | + | 3.07009i | 0.138024 | + | 0.0977222i | ||||
\(988\) | −0.376654 | − | 0.518420i | −0.0119830 | − | 0.0164931i | ||||
\(989\) | 1.01055 | − | 9.61472i | 0.0321336 | − | 0.305730i | ||||
\(990\) | −0.991422 | − | 0.782890i | −0.0315095 | − | 0.0248819i | ||||
\(991\) | 5.04243 | + | 47.9755i | 0.160178 | + | 1.52399i | 0.719178 | + | 0.694826i | \(0.244519\pi\) |
−0.559000 | + | 0.829168i | \(0.688815\pi\) | |||||||
\(992\) | −0.0706532 | − | 0.332397i | −0.00224324 | − | 0.0105536i | ||||
\(993\) | 3.76906i | 0.119607i | ||||||||
\(994\) | 14.4553 | − | 8.58332i | 0.458493 | − | 0.272246i | ||||
\(995\) | 9.40230 | − | 4.93697i | 0.298073 | − | 0.156513i | ||||
\(996\) | −0.484504 | + | 0.538096i | −0.0153521 | + | 0.0170502i | ||||
\(997\) | −2.75348 | + | 12.9541i | −0.0872035 | + | 0.410260i | 0.912795 | + | 0.408418i | \(0.133920\pi\) |
−0.999998 | + | 0.00184172i | \(0.999414\pi\) | |||||||
\(998\) | −10.1148 | − | 22.7181i | −0.320177 | − | 0.719130i | ||||
\(999\) | −7.70637 | − | 13.3478i | −0.243819 | − | 0.422306i |
(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 | 175.2.t.a.109.6 | yes | 144 | |
5.2 | odd | 4 | 875.2.q.b.326.25 | 288 | |||
5.3 | odd | 4 | 875.2.q.b.326.12 | 288 | |||
5.4 | even | 2 | 875.2.u.a.424.13 | 144 | |||
7.2 | even | 3 | inner | 175.2.t.a.9.13 | ✓ | 144 | |
25.2 | odd | 20 | 875.2.q.b.676.12 | 288 | |||
25.11 | even | 5 | 875.2.u.a.74.6 | 144 | |||
25.14 | even | 10 | inner | 175.2.t.a.39.13 | yes | 144 | |
25.23 | odd | 20 | 875.2.q.b.676.25 | 288 | |||
35.2 | odd | 12 | 875.2.q.b.576.12 | 288 | |||
35.9 | even | 6 | 875.2.u.a.674.6 | 144 | |||
35.23 | odd | 12 | 875.2.q.b.576.25 | 288 | |||
175.2 | odd | 60 | 875.2.q.b.51.25 | 288 | |||
175.23 | odd | 60 | 875.2.q.b.51.12 | 288 | |||
175.86 | even | 15 | 875.2.u.a.324.13 | 144 | |||
175.114 | even | 30 | inner | 175.2.t.a.114.6 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.t.a.9.13 | ✓ | 144 | 7.2 | even | 3 | inner | |
175.2.t.a.39.13 | yes | 144 | 25.14 | even | 10 | inner | |
175.2.t.a.109.6 | yes | 144 | 1.1 | even | 1 | trivial | |
175.2.t.a.114.6 | yes | 144 | 175.114 | even | 30 | inner | |
875.2.q.b.51.12 | 288 | 175.23 | odd | 60 | |||
875.2.q.b.51.25 | 288 | 175.2 | odd | 60 | |||
875.2.q.b.326.12 | 288 | 5.3 | odd | 4 | |||
875.2.q.b.326.25 | 288 | 5.2 | odd | 4 | |||
875.2.q.b.576.12 | 288 | 35.2 | odd | 12 | |||
875.2.q.b.576.25 | 288 | 35.23 | odd | 12 | |||
875.2.q.b.676.12 | 288 | 25.2 | odd | 20 | |||
875.2.q.b.676.25 | 288 | 25.23 | odd | 20 | |||
875.2.u.a.74.6 | 144 | 25.11 | even | 5 | |||
875.2.u.a.324.13 | 144 | 175.86 | even | 15 | |||
875.2.u.a.424.13 | 144 | 5.4 | even | 2 | |||
875.2.u.a.674.6 | 144 | 35.9 | even | 6 |