Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [289,3,Mod(40,289)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(289, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([15]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("289.40");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 289 = 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 289.e (of order \(16\), 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: | \(7.87467964001\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 214.1 | ||
Character | \(\chi\) | \(=\) | 289.214 |
Dual form | 289.3.e.p.131.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/289\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{3}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.685496 | + | 1.65493i | −0.342748 | + | 0.827467i | 0.654688 | + | 0.755900i | \(0.272800\pi\) |
−0.997436 | + | 0.0715676i | \(0.977200\pi\) | |||||||
\(3\) | −0.379857 | − | 0.253812i | −0.126619 | − | 0.0846041i | 0.490648 | − | 0.871358i | \(-0.336760\pi\) |
−0.617267 | + | 0.786754i | \(0.711760\pi\) | |||||||
\(4\) | 0.559525 | + | 0.559525i | 0.139881 | + | 0.139881i | ||||
\(5\) | −1.25070 | + | 0.248779i | −0.250140 | + | 0.0497559i | −0.318567 | − | 0.947900i | \(-0.603202\pi\) |
0.0684278 | + | 0.997656i | \(0.478202\pi\) | |||||||
\(6\) | 0.680433 | − | 0.454651i | 0.113406 | − | 0.0757752i | ||||
\(7\) | 4.83527 | + | 0.961796i | 0.690753 | + | 0.137399i | 0.527971 | − | 0.849263i | \(-0.322953\pi\) |
0.162783 | + | 0.986662i | \(0.447953\pi\) | |||||||
\(8\) | −7.92927 | + | 3.28441i | −0.991158 | + | 0.410551i | ||||
\(9\) | −3.36428 | − | 8.12209i | −0.373809 | − | 0.902455i | ||||
\(10\) | 0.445635 | − | 2.24036i | 0.0445635 | − | 0.224036i | ||||
\(11\) | 9.27406 | + | 13.8796i | 0.843096 | + | 1.26178i | 0.963136 | + | 0.269013i | \(0.0866975\pi\) |
−0.120041 | + | 0.992769i | \(0.538302\pi\) | |||||||
\(12\) | −0.0705252 | − | 0.354554i | −0.00587710 | − | 0.0295462i | ||||
\(13\) | −12.6971 | + | 12.6971i | −0.976702 | + | 0.976702i | −0.999735 | − | 0.0230332i | \(-0.992668\pi\) |
0.0230332 | + | 0.999735i | \(0.492668\pi\) | |||||||
\(14\) | −4.90627 | + | 7.34275i | −0.350448 | + | 0.524482i | ||||
\(15\) | 0.538230 | + | 0.222942i | 0.0358820 | + | 0.0148628i | ||||
\(16\) | − | 12.2087i | − | 0.763045i | ||||||
\(17\) | 0 | 0 | ||||||||
\(18\) | 15.7477 | 0.874874 | ||||||||
\(19\) | −7.19111 | + | 17.3609i | −0.378480 | + | 0.913731i | 0.613772 | + | 0.789484i | \(0.289652\pi\) |
−0.992251 | + | 0.124247i | \(0.960348\pi\) | |||||||
\(20\) | −0.838995 | − | 0.560599i | −0.0419497 | − | 0.0280299i | ||||
\(21\) | −1.59260 | − | 1.59260i | −0.0758380 | − | 0.0758380i | ||||
\(22\) | −29.3272 | + | 5.83354i | −1.33305 | + | 0.265161i | ||||
\(23\) | 16.2215 | − | 10.8388i | 0.705282 | − | 0.471254i | −0.150487 | − | 0.988612i | \(-0.548084\pi\) |
0.855769 | + | 0.517358i | \(0.173084\pi\) | |||||||
\(24\) | 3.84561 | + | 0.764940i | 0.160234 | + | 0.0318725i | ||||
\(25\) | −21.5946 | + | 8.94479i | −0.863785 | + | 0.357792i | ||||
\(26\) | −12.3091 | − | 29.7167i | −0.473426 | − | 1.14295i | ||||
\(27\) | −1.58569 | + | 7.97178i | −0.0587291 | + | 0.295251i | ||||
\(28\) | 2.16731 | + | 3.24361i | 0.0774039 | + | 0.115843i | ||||
\(29\) | −4.53772 | − | 22.8126i | −0.156473 | − | 0.786643i | −0.976701 | − | 0.214606i | \(-0.931153\pi\) |
0.820228 | − | 0.572037i | \(-0.193847\pi\) | |||||||
\(30\) | −0.737909 | + | 0.737909i | −0.0245970 | + | 0.0245970i | ||||
\(31\) | −27.2086 | + | 40.7205i | −0.877697 | + | 1.31357i | 0.0710321 | + | 0.997474i | \(0.477371\pi\) |
−0.948729 | + | 0.316092i | \(0.897629\pi\) | |||||||
\(32\) | −11.5124 | − | 4.76861i | −0.359764 | − | 0.149019i | ||||
\(33\) | − | 7.62614i | − | 0.231095i | ||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −6.28674 | −0.179621 | ||||||||
\(36\) | 2.66211 | − | 6.42691i | 0.0739476 | − | 0.178525i | ||||
\(37\) | 26.0812 | + | 17.4269i | 0.704898 | + | 0.470998i | 0.855637 | − | 0.517576i | \(-0.173165\pi\) |
−0.150740 | + | 0.988574i | \(0.548165\pi\) | |||||||
\(38\) | −23.8016 | − | 23.8016i | −0.626359 | − | 0.626359i | ||||
\(39\) | 8.04578 | − | 1.60040i | 0.206302 | − | 0.0410360i | ||||
\(40\) | 9.10002 | − | 6.08044i | 0.227501 | − | 0.152011i | ||||
\(41\) | −64.5923 | − | 12.8482i | −1.57542 | − | 0.313371i | −0.671479 | − | 0.741024i | \(-0.734341\pi\) |
−0.903943 | + | 0.427653i | \(0.859341\pi\) | |||||||
\(42\) | 3.72736 | − | 1.54392i | 0.0887467 | − | 0.0367601i | ||||
\(43\) | 7.36405 | + | 17.7784i | 0.171257 | + | 0.413451i | 0.986083 | − | 0.166255i | \(-0.0531675\pi\) |
−0.814826 | + | 0.579706i | \(0.803167\pi\) | |||||||
\(44\) | −2.57692 | + | 12.9551i | −0.0585664 | + | 0.294433i | ||||
\(45\) | 6.22831 | + | 9.32132i | 0.138407 | + | 0.207140i | ||||
\(46\) | 6.81782 | + | 34.2755i | 0.148213 | + | 0.745119i | ||||
\(47\) | 6.89268 | − | 6.89268i | 0.146653 | − | 0.146653i | −0.629968 | − | 0.776621i | \(-0.716932\pi\) |
0.776621 | + | 0.629968i | \(0.216932\pi\) | |||||||
\(48\) | −3.09872 | + | 4.63757i | −0.0645567 | + | 0.0966160i | ||||
\(49\) | −22.8153 | − | 9.45040i | −0.465618 | − | 0.192865i | ||||
\(50\) | − | 41.8693i | − | 0.837386i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −14.2087 | −0.273244 | ||||||||
\(53\) | 3.93657 | − | 9.50371i | 0.0742748 | − | 0.179315i | −0.882381 | − | 0.470535i | \(-0.844061\pi\) |
0.956656 | + | 0.291220i | \(0.0940610\pi\) | |||||||
\(54\) | −12.1058 | − | 8.08883i | −0.224181 | − | 0.149793i | ||||
\(55\) | −15.0520 | − | 15.0520i | −0.273673 | − | 0.273673i | ||||
\(56\) | −41.4991 | + | 8.25469i | −0.741055 | + | 0.147405i | ||||
\(57\) | 7.13800 | − | 4.76946i | 0.125228 | − | 0.0836748i | ||||
\(58\) | 40.8640 | + | 8.12835i | 0.704552 | + | 0.140144i | ||||
\(59\) | 54.3563 | − | 22.5151i | 0.921293 | − | 0.381612i | 0.128924 | − | 0.991654i | \(-0.458848\pi\) |
0.792369 | + | 0.610042i | \(0.208848\pi\) | |||||||
\(60\) | 0.176411 | + | 0.425895i | 0.00294019 | + | 0.00709824i | ||||
\(61\) | 4.74929 | − | 23.8763i | 0.0778572 | − | 0.391415i | −0.922132 | − | 0.386874i | \(-0.873555\pi\) |
0.999990 | − | 0.00454042i | \(-0.00144527\pi\) | |||||||
\(62\) | −48.7384 | − | 72.9422i | −0.786104 | − | 1.17649i | ||||
\(63\) | −8.45542 | − | 42.5083i | −0.134213 | − | 0.674735i | ||||
\(64\) | 50.3149 | − | 50.3149i | 0.786171 | − | 0.786171i | ||||
\(65\) | 12.7215 | − | 19.0390i | 0.195715 | − | 0.292908i | ||||
\(66\) | 12.6208 | + | 5.22769i | 0.191224 | + | 0.0792074i | ||||
\(67\) | 86.6606i | 1.29344i | 0.762727 | + | 0.646721i | \(0.223860\pi\) | ||||
−0.762727 | + | 0.646721i | \(0.776140\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −8.91288 | −0.129172 | ||||||||
\(70\) | 4.30954 | − | 10.4041i | 0.0615648 | − | 0.148631i | ||||
\(71\) | 31.0821 | + | 20.7684i | 0.437776 | + | 0.292513i | 0.754861 | − | 0.655884i | \(-0.227704\pi\) |
−0.317085 | + | 0.948397i | \(0.602704\pi\) | |||||||
\(72\) | 53.3525 | + | 53.3525i | 0.741008 | + | 0.741008i | ||||
\(73\) | 126.551 | − | 25.1725i | 1.73357 | − | 0.344829i | 0.775497 | − | 0.631351i | \(-0.217499\pi\) |
0.958073 | + | 0.286523i | \(0.0924994\pi\) | |||||||
\(74\) | −46.7190 | + | 31.2166i | −0.631337 | + | 0.421846i | ||||
\(75\) | 10.4732 | + | 2.08324i | 0.139642 | + | 0.0277766i | ||||
\(76\) | −13.7375 | + | 5.69024i | −0.180756 | + | 0.0748716i | ||||
\(77\) | 31.4933 | + | 76.0314i | 0.409003 | + | 0.987421i | ||||
\(78\) | −2.86679 | + | 14.4123i | −0.0367537 | + | 0.184773i | ||||
\(79\) | 24.2379 | + | 36.2746i | 0.306809 | + | 0.459172i | 0.952549 | − | 0.304385i | \(-0.0984509\pi\) |
−0.645740 | + | 0.763558i | \(0.723451\pi\) | |||||||
\(80\) | 3.03727 | + | 15.2694i | 0.0379659 | + | 0.190868i | ||||
\(81\) | −53.3217 | + | 53.3217i | −0.658293 | + | 0.658293i | ||||
\(82\) | 65.5407 | − | 98.0886i | 0.799277 | − | 1.19620i | ||||
\(83\) | 63.6990 | + | 26.3850i | 0.767458 | + | 0.317892i | 0.731842 | − | 0.681474i | \(-0.238661\pi\) |
0.0356159 | + | 0.999366i | \(0.488661\pi\) | |||||||
\(84\) | − | 1.78220i | − | 0.0212166i | ||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −34.4701 | −0.400815 | ||||||||
\(87\) | −4.06645 | + | 9.81727i | −0.0467408 | + | 0.112842i | ||||
\(88\) | −119.123 | − | 79.5953i | −1.35367 | − | 0.904492i | ||||
\(89\) | 37.3470 | + | 37.3470i | 0.419629 | + | 0.419629i | 0.885076 | − | 0.465447i | \(-0.154106\pi\) |
−0.465447 | + | 0.885076i | \(0.654106\pi\) | |||||||
\(90\) | −19.6956 | + | 3.91771i | −0.218841 | + | 0.0435301i | ||||
\(91\) | −73.6061 | + | 49.1820i | −0.808858 | + | 0.540462i | ||||
\(92\) | 15.1409 | + | 3.01172i | 0.164575 | + | 0.0327361i | ||||
\(93\) | 20.6708 | − | 8.56211i | 0.222266 | − | 0.0920657i | ||||
\(94\) | 6.68203 | + | 16.1318i | 0.0710854 | + | 0.171615i | ||||
\(95\) | 4.67488 | − | 23.5022i | 0.0492093 | − | 0.247392i | ||||
\(96\) | 3.16275 | + | 4.73339i | 0.0329453 | + | 0.0493062i | ||||
\(97\) | 19.6846 | + | 98.9613i | 0.202934 | + | 1.02022i | 0.939159 | + | 0.343482i | \(0.111607\pi\) |
−0.736225 | + | 0.676737i | \(0.763393\pi\) | |||||||
\(98\) | 31.2796 | − | 31.2796i | 0.319179 | − | 0.319179i | ||||
\(99\) | 81.5309 | − | 122.020i | 0.823544 | − | 1.23252i | ||||
\(100\) | −17.0876 | − | 7.07790i | −0.170876 | − | 0.0707790i | ||||
\(101\) | 56.4955i | 0.559361i | 0.960093 | + | 0.279680i | \(0.0902285\pi\) | ||||
−0.960093 | + | 0.279680i | \(0.909771\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 59.5826 | 0.578472 | 0.289236 | − | 0.957258i | \(-0.406599\pi\) | ||||
0.289236 | + | 0.957258i | \(0.406599\pi\) | |||||||
\(104\) | 58.9763 | − | 142.381i | 0.567080 | − | 1.36905i | ||||
\(105\) | 2.38806 | + | 1.59565i | 0.0227435 | + | 0.0151967i | ||||
\(106\) | 13.0295 | + | 13.0295i | 0.122920 | + | 0.122920i | ||||
\(107\) | 117.215 | − | 23.3155i | 1.09547 | − | 0.217902i | 0.385901 | − | 0.922540i | \(-0.373891\pi\) |
0.709567 | + | 0.704638i | \(0.248891\pi\) | |||||||
\(108\) | −5.34764 | + | 3.57318i | −0.0495152 | + | 0.0330850i | ||||
\(109\) | 128.943 | + | 25.6484i | 1.18296 | + | 0.235306i | 0.747103 | − | 0.664708i | \(-0.231444\pi\) |
0.435861 | + | 0.900014i | \(0.356444\pi\) | |||||||
\(110\) | 35.2282 | − | 14.5920i | 0.320256 | − | 0.132654i | ||||
\(111\) | −5.48397 | − | 13.2395i | −0.0494051 | − | 0.119275i | ||||
\(112\) | 11.7423 | − | 59.0325i | 0.104842 | − | 0.527076i | ||||
\(113\) | −47.8070 | − | 71.5482i | −0.423071 | − | 0.633170i | 0.557305 | − | 0.830308i | \(-0.311835\pi\) |
−0.980376 | + | 0.197138i | \(0.936835\pi\) | |||||||
\(114\) | 3.00007 | + | 15.0824i | 0.0263164 | + | 0.132302i | ||||
\(115\) | −17.5917 | + | 17.5917i | −0.152971 | + | 0.152971i | ||||
\(116\) | 10.2253 | − | 15.3032i | 0.0881489 | − | 0.131924i | ||||
\(117\) | 145.844 | + | 60.4105i | 1.24653 | + | 0.516329i | ||||
\(118\) | 105.390i | 0.893137i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −5.00000 | −0.0416667 | ||||||||
\(121\) | −60.3306 | + | 145.651i | −0.498600 | + | 1.20373i | ||||
\(122\) | 36.2581 | + | 24.2269i | 0.297197 | + | 0.198581i | ||||
\(123\) | 21.2748 | + | 21.2748i | 0.172966 | + | 0.172966i | ||||
\(124\) | −38.0080 | + | 7.56027i | −0.306517 | + | 0.0609699i | ||||
\(125\) | 51.2903 | − | 34.2711i | 0.410323 | − | 0.274169i | ||||
\(126\) | 76.1446 | + | 15.1461i | 0.604322 | + | 0.120207i | ||||
\(127\) | 31.0347 | − | 12.8550i | 0.244367 | − | 0.101220i | −0.257138 | − | 0.966375i | \(-0.582780\pi\) |
0.501506 | + | 0.865154i | \(0.332780\pi\) | |||||||
\(128\) | 29.7028 | + | 71.7088i | 0.232053 | + | 0.560225i | ||||
\(129\) | 1.71509 | − | 8.62233i | 0.0132953 | − | 0.0668398i | ||||
\(130\) | 22.7878 | + | 34.1044i | 0.175291 | + | 0.262342i | ||||
\(131\) | −18.0315 | − | 90.6504i | −0.137645 | − | 0.691988i | −0.986552 | − | 0.163446i | \(-0.947739\pi\) |
0.848907 | − | 0.528542i | \(-0.177261\pi\) | |||||||
\(132\) | 4.26701 | − | 4.26701i | 0.0323259 | − | 0.0323259i | ||||
\(133\) | −51.4686 | + | 77.0283i | −0.386982 | + | 0.579160i | ||||
\(134\) | −143.418 | − | 59.4055i | −1.07028 | − | 0.443325i | ||||
\(135\) | − | 10.3648i | − | 0.0767761i | ||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −25.9311 | −0.189278 | −0.0946389 | − | 0.995512i | \(-0.530170\pi\) | ||||
−0.0946389 | + | 0.995512i | \(0.530170\pi\) | |||||||
\(138\) | 6.10974 | − | 14.7502i | 0.0442735 | − | 0.106886i | ||||
\(139\) | −62.7819 | − | 41.9495i | −0.451668 | − | 0.301795i | 0.308851 | − | 0.951110i | \(-0.400056\pi\) |
−0.760519 | + | 0.649315i | \(0.775056\pi\) | |||||||
\(140\) | −3.51759 | − | 3.51759i | −0.0251256 | − | 0.0251256i | ||||
\(141\) | −4.36768 | + | 0.868786i | −0.0309765 | + | 0.00616160i | ||||
\(142\) | −55.6770 | + | 37.2022i | −0.392091 | + | 0.261987i | ||||
\(143\) | −293.985 | − | 58.4772i | −2.05584 | − | 0.408932i | ||||
\(144\) | −99.1603 | + | 41.0735i | −0.688613 | + | 0.285233i | ||||
\(145\) | 11.3506 | + | 27.4028i | 0.0782802 | + | 0.188985i | ||||
\(146\) | −45.0912 | + | 226.689i | −0.308844 | + | 1.55266i | ||||
\(147\) | 6.26792 | + | 9.38060i | 0.0426389 | + | 0.0638136i | ||||
\(148\) | 4.84230 | + | 24.3439i | 0.0327182 | + | 0.164486i | ||||
\(149\) | 81.0028 | − | 81.0028i | 0.543643 | − | 0.543643i | −0.380952 | − | 0.924595i | \(-0.624404\pi\) |
0.924595 | + | 0.380952i | \(0.124404\pi\) | |||||||
\(150\) | −10.6270 | + | 15.9044i | −0.0708463 | + | 0.106029i | ||||
\(151\) | −66.8161 | − | 27.6761i | −0.442491 | − | 0.183286i | 0.150303 | − | 0.988640i | \(-0.451975\pi\) |
−0.592794 | + | 0.805354i | \(0.701975\pi\) | |||||||
\(152\) | − | 161.278i | − | 1.06104i | ||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −147.416 | −0.957244 | ||||||||
\(155\) | 23.8993 | − | 57.6980i | 0.154189 | − | 0.372245i | ||||
\(156\) | 5.39728 | + | 3.60635i | 0.0345980 | + | 0.0231176i | ||||
\(157\) | −98.6497 | − | 98.6497i | −0.628342 | − | 0.628342i | 0.319309 | − | 0.947651i | \(-0.396549\pi\) |
−0.947651 | + | 0.319309i | \(0.896549\pi\) | |||||||
\(158\) | −76.6471 | + | 15.2461i | −0.485108 | + | 0.0964941i | ||||
\(159\) | −3.90749 | + | 2.61090i | −0.0245754 | + | 0.0164208i | ||||
\(160\) | 15.5849 | + | 3.10003i | 0.0974058 | + | 0.0193752i | ||||
\(161\) | 88.8601 | − | 36.8070i | 0.551926 | − | 0.228615i | ||||
\(162\) | −51.6921 | − | 124.796i | −0.319087 | − | 0.770345i | ||||
\(163\) | 42.6847 | − | 214.591i | 0.261870 | − | 1.31651i | −0.596143 | − | 0.802878i | \(-0.703301\pi\) |
0.858012 | − | 0.513629i | \(-0.171699\pi\) | |||||||
\(164\) | −28.9521 | − | 43.3299i | −0.176537 | − | 0.264207i | ||||
\(165\) | 1.89722 | + | 9.53799i | 0.0114983 | + | 0.0578060i | ||||
\(166\) | −87.3309 | + | 87.3309i | −0.526090 | + | 0.526090i | ||||
\(167\) | −125.434 | + | 187.725i | −0.751099 | + | 1.12410i | 0.237184 | + | 0.971465i | \(0.423776\pi\) |
−0.988283 | + | 0.152634i | \(0.951224\pi\) | |||||||
\(168\) | 17.8589 | + | 7.39739i | 0.106303 | + | 0.0440321i | ||||
\(169\) | − | 153.434i | − | 0.907892i | ||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 165.200 | 0.966080 | ||||||||
\(172\) | −5.82708 | + | 14.0678i | −0.0338784 | + | 0.0817896i | ||||
\(173\) | 282.038 | + | 188.452i | 1.63028 | + | 1.08932i | 0.924709 | + | 0.380675i | \(0.124308\pi\) |
0.705568 | + | 0.708642i | \(0.250692\pi\) | |||||||
\(174\) | −13.4594 | − | 13.4594i | −0.0773529 | − | 0.0773529i | ||||
\(175\) | −113.019 | + | 22.4809i | −0.645823 | + | 0.128462i | ||||
\(176\) | 169.452 | − | 113.224i | 0.962796 | − | 0.643320i | ||||
\(177\) | −26.3622 | − | 5.24378i | −0.148939 | − | 0.0296259i | ||||
\(178\) | −87.4081 | + | 36.2056i | −0.491057 | + | 0.203402i | ||||
\(179\) | −61.1759 | − | 147.692i | −0.341765 | − | 0.825093i | −0.997538 | − | 0.0701345i | \(-0.977657\pi\) |
0.655773 | − | 0.754958i | \(-0.272343\pi\) | |||||||
\(180\) | −1.73062 | + | 8.70040i | −0.00961454 | + | 0.0483356i | ||||
\(181\) | −14.6681 | − | 21.9524i | −0.0810395 | − | 0.121284i | 0.788736 | − | 0.614733i | \(-0.210736\pi\) |
−0.869775 | + | 0.493449i | \(0.835736\pi\) | |||||||
\(182\) | −30.9363 | − | 155.527i | −0.169980 | − | 0.854546i | ||||
\(183\) | −7.86415 | + | 7.86415i | −0.0429735 | + | 0.0429735i | ||||
\(184\) | −93.0252 | + | 139.222i | −0.505572 | + | 0.756642i | ||||
\(185\) | −36.9552 | − | 15.3073i | −0.199758 | − | 0.0827424i | ||||
\(186\) | 40.0780i | 0.215473i | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 7.71326 | 0.0410280 | ||||||||
\(189\) | −15.3344 | + | 37.0206i | −0.0811346 | + | 0.195876i | ||||
\(190\) | 35.6900 | + | 23.8473i | 0.187842 | + | 0.125512i | ||||
\(191\) | −237.434 | − | 237.434i | −1.24311 | − | 1.24311i | −0.958704 | − | 0.284405i | \(-0.908204\pi\) |
−0.284405 | − | 0.958704i | \(-0.591796\pi\) | |||||||
\(192\) | −31.8830 | + | 6.34193i | −0.166057 | + | 0.0330309i | ||||
\(193\) | 167.704 | − | 112.057i | 0.868935 | − | 0.580604i | −0.0392234 | − | 0.999230i | \(-0.512488\pi\) |
0.908158 | + | 0.418627i | \(0.137488\pi\) | |||||||
\(194\) | −177.268 | − | 35.2608i | −0.913753 | − | 0.181757i | ||||
\(195\) | −9.66469 | + | 4.00325i | −0.0495625 | + | 0.0205295i | ||||
\(196\) | −7.47798 | − | 18.0534i | −0.0381530 | − | 0.0921094i | ||||
\(197\) | −21.8965 | + | 110.081i | −0.111150 | + | 0.558786i | 0.884574 | + | 0.466400i | \(0.154449\pi\) |
−0.995723 | + | 0.0923861i | \(0.970551\pi\) | |||||||
\(198\) | 146.045 | + | 218.572i | 0.737602 | + | 1.10390i | ||||
\(199\) | 4.33390 | + | 21.7880i | 0.0217784 | + | 0.109487i | 0.990146 | − | 0.140042i | \(-0.0447239\pi\) |
−0.968367 | + | 0.249530i | \(0.919724\pi\) | |||||||
\(200\) | 141.851 | − | 141.851i | 0.709256 | − | 0.709256i | ||||
\(201\) | 21.9955 | − | 32.9186i | 0.109431 | − | 0.163774i | ||||
\(202\) | −93.4963 | − | 38.7274i | −0.462853 | − | 0.191720i | ||||
\(203\) | − | 114.670i | − | 0.564875i | ||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 83.9818 | 0.409667 | ||||||||
\(206\) | −40.8436 | + | 98.6052i | −0.198270 | + | 0.478666i | ||||
\(207\) | −142.608 | − | 95.2874i | −0.688926 | − | 0.460326i | ||||
\(208\) | 155.015 | + | 155.015i | 0.745267 | + | 0.745267i | ||||
\(209\) | −307.653 | + | 61.1960i | −1.47202 | + | 0.292804i | ||||
\(210\) | −4.27771 | + | 2.85827i | −0.0203700 | + | 0.0136108i | ||||
\(211\) | 143.947 | + | 28.6329i | 0.682215 | + | 0.135701i | 0.524019 | − | 0.851707i | \(-0.324432\pi\) |
0.158196 | + | 0.987408i | \(0.449432\pi\) | |||||||
\(212\) | 7.52017 | − | 3.11496i | 0.0354725 | − | 0.0146932i | ||||
\(213\) | −6.53548 | − | 15.7780i | −0.0306830 | − | 0.0740753i | ||||
\(214\) | −41.7648 | + | 209.966i | −0.195163 | + | 0.981150i | ||||
\(215\) | −13.6331 | − | 20.4034i | −0.0634097 | − | 0.0948994i | ||||
\(216\) | −13.6093 | − | 68.4184i | −0.0630058 | − | 0.316752i | ||||
\(217\) | −170.726 | + | 170.726i | −0.786755 | + | 0.786755i | ||||
\(218\) | −130.836 | + | 195.810i | −0.600167 | + | 0.898213i | ||||
\(219\) | −54.4602 | − | 22.5582i | −0.248677 | − | 0.103005i | ||||
\(220\) | − | 16.8439i | − | 0.0765634i | ||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 25.6697 | 0.115629 | ||||||||
\(223\) | −59.6979 | + | 144.123i | −0.267704 | + | 0.646294i | −0.999374 | − | 0.0353645i | \(-0.988741\pi\) |
0.731671 | + | 0.681658i | \(0.238741\pi\) | |||||||
\(224\) | −51.0794 | − | 34.1302i | −0.228033 | − | 0.152367i | ||||
\(225\) | 145.301 | + | 145.301i | 0.645781 | + | 0.645781i | ||||
\(226\) | 151.179 | − | 30.0714i | 0.668934 | − | 0.133059i | ||||
\(227\) | −85.2527 | + | 56.9641i | −0.375563 | + | 0.250943i | −0.728998 | − | 0.684516i | \(-0.760014\pi\) |
0.353435 | + | 0.935459i | \(0.385014\pi\) | |||||||
\(228\) | 6.66252 | + | 1.32526i | 0.0292216 | + | 0.00581254i | ||||
\(229\) | −404.770 | + | 167.661i | −1.76755 | + | 0.732145i | −0.772253 | + | 0.635315i | \(0.780870\pi\) |
−0.995301 | + | 0.0968294i | \(0.969130\pi\) | |||||||
\(230\) | −17.0541 | − | 41.1721i | −0.0741481 | − | 0.179009i | ||||
\(231\) | 7.33479 | − | 36.8745i | 0.0317523 | − | 0.159630i | ||||
\(232\) | 110.907 | + | 165.984i | 0.478047 | + | 0.715447i | ||||
\(233\) | 9.63963 | + | 48.4617i | 0.0413718 | + | 0.207990i | 0.995942 | − | 0.0899955i | \(-0.0286853\pi\) |
−0.954570 | + | 0.297986i | \(0.903685\pi\) | |||||||
\(234\) | −199.951 | + | 199.951i | −0.854491 | + | 0.854491i | ||||
\(235\) | −6.90591 | + | 10.3354i | −0.0293868 | + | 0.0439805i | ||||
\(236\) | 43.0115 | + | 17.8159i | 0.182252 | + | 0.0754913i | ||||
\(237\) | − | 19.9311i | − | 0.0840973i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −78.6515 | −0.329086 | −0.164543 | − | 0.986370i | \(-0.552615\pi\) | ||||
−0.164543 | + | 0.986370i | \(0.552615\pi\) | |||||||
\(240\) | 2.72184 | − | 6.57109i | 0.0113410 | − | 0.0273796i | ||||
\(241\) | 63.2838 | + | 42.2849i | 0.262588 | + | 0.175456i | 0.679894 | − | 0.733310i | \(-0.262026\pi\) |
−0.417306 | + | 0.908766i | \(0.637026\pi\) | |||||||
\(242\) | −199.686 | − | 199.686i | −0.825150 | − | 0.825150i | ||||
\(243\) | 105.534 | − | 20.9921i | 0.434298 | − | 0.0863872i | ||||
\(244\) | 16.0167 | − | 10.7020i | 0.0656423 | − | 0.0438608i | ||||
\(245\) | 30.8861 | + | 6.14362i | 0.126066 | + | 0.0250760i | ||||
\(246\) | −49.7922 | + | 20.6246i | −0.202407 | + | 0.0838399i | ||||
\(247\) | −129.127 | − | 311.740i | −0.522781 | − | 1.26210i | ||||
\(248\) | 82.0013 | − | 412.248i | 0.330650 | − | 1.66229i | ||||
\(249\) | −17.4997 | − | 26.1901i | −0.0702799 | − | 0.105181i | ||||
\(250\) | 21.5571 | + | 108.375i | 0.0862284 | + | 0.433499i | ||||
\(251\) | 28.7463 | − | 28.7463i | 0.114527 | − | 0.114527i | −0.647521 | − | 0.762048i | \(-0.724194\pi\) |
0.762048 | + | 0.647521i | \(0.224194\pi\) | |||||||
\(252\) | 19.0534 | − | 28.5155i | 0.0756088 | − | 0.113157i | ||||
\(253\) | 300.878 | + | 124.628i | 1.18924 | + | 0.492599i | ||||
\(254\) | 60.1723i | 0.236899i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 145.590 | 0.568710 | ||||||||
\(257\) | 11.8868 | − | 28.6973i | 0.0462522 | − | 0.111663i | −0.899065 | − | 0.437815i | \(-0.855752\pi\) |
0.945317 | + | 0.326153i | \(0.105752\pi\) | |||||||
\(258\) | 13.0937 | + | 8.74893i | 0.0507508 | + | 0.0339106i | ||||
\(259\) | 109.349 | + | 109.349i | 0.422196 | + | 0.422196i | ||||
\(260\) | 17.7708 | − | 3.53483i | 0.0683493 | − | 0.0135955i | ||||
\(261\) | −170.020 | + | 113.604i | −0.651418 | + | 0.435264i | ||||
\(262\) | 162.381 | + | 32.2996i | 0.619775 | + | 0.123281i | ||||
\(263\) | 249.229 | − | 103.234i | 0.947640 | − | 0.392526i | 0.145297 | − | 0.989388i | \(-0.453586\pi\) |
0.802344 | + | 0.596863i | \(0.203586\pi\) | |||||||
\(264\) | 25.0474 | + | 60.4697i | 0.0948763 | + | 0.229052i | ||||
\(265\) | −2.55913 | + | 12.8656i | −0.00965709 | + | 0.0485495i | ||||
\(266\) | −92.1951 | − | 137.980i | −0.346598 | − | 0.518721i | ||||
\(267\) | −4.70739 | − | 23.6657i | −0.0176307 | − | 0.0886355i | ||||
\(268\) | −48.4888 | + | 48.4888i | −0.180928 | + | 0.180928i | ||||
\(269\) | 69.4760 | − | 103.978i | 0.258275 | − | 0.386536i | −0.679559 | − | 0.733621i | \(-0.737829\pi\) |
0.937833 | + | 0.347086i | \(0.112829\pi\) | |||||||
\(270\) | 17.1530 | + | 7.10501i | 0.0635297 | + | 0.0263149i | ||||
\(271\) | 112.644i | 0.415662i | 0.978165 | + | 0.207831i | \(0.0666404\pi\) | ||||
−0.978165 | + | 0.207831i | \(0.933360\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 40.4428 | 0.148142 | ||||||||
\(274\) | 17.7756 | − | 42.9142i | 0.0648746 | − | 0.156621i | ||||
\(275\) | −324.420 | − | 216.770i | −1.17971 | − | 0.788256i | ||||
\(276\) | −4.98698 | − | 4.98698i | −0.0180688 | − | 0.0180688i | ||||
\(277\) | −148.596 | + | 29.5575i | −0.536446 | + | 0.106706i | −0.455876 | − | 0.890043i | \(-0.650674\pi\) |
−0.0805700 | + | 0.996749i | \(0.525674\pi\) | |||||||
\(278\) | 112.460 | − | 75.1437i | 0.404534 | − | 0.270301i | ||||
\(279\) | 422.273 | + | 83.9954i | 1.51352 | + | 0.301059i | ||||
\(280\) | 49.8492 | − | 20.6482i | 0.178033 | − | 0.0737437i | ||||
\(281\) | 133.206 | + | 321.589i | 0.474044 | + | 1.14444i | 0.962360 | + | 0.271777i | \(0.0876114\pi\) |
−0.488316 | + | 0.872667i | \(0.662389\pi\) | |||||||
\(282\) | 1.55625 | − | 7.82378i | 0.00551860 | − | 0.0277439i | ||||
\(283\) | 153.567 | + | 229.829i | 0.542640 | + | 0.812118i | 0.996894 | − | 0.0787542i | \(-0.0250942\pi\) |
−0.454254 | + | 0.890872i | \(0.650094\pi\) | |||||||
\(284\) | 5.77077 | + | 29.0116i | 0.0203196 | + | 0.102154i | ||||
\(285\) | −7.74094 | + | 7.74094i | −0.0271612 | + | 0.0271612i | ||||
\(286\) | 298.301 | − | 446.440i | 1.04301 | − | 1.56098i | ||||
\(287\) | −299.964 | − | 124.249i | −1.04517 | − | 0.432924i | ||||
\(288\) | 109.548i | 0.380375i | ||||||||
\(289\) | 0 | 0 | ||||||||
\(290\) | −53.1307 | −0.183209 | ||||||||
\(291\) | 17.6403 | − | 42.5873i | 0.0606194 | − | 0.146348i | ||||
\(292\) | 84.8929 | + | 56.7236i | 0.290729 | + | 0.194259i | ||||
\(293\) | 206.365 | + | 206.365i | 0.704317 | + | 0.704317i | 0.965334 | − | 0.261017i | \(-0.0840580\pi\) |
−0.261017 | + | 0.965334i | \(0.584058\pi\) | |||||||
\(294\) | −19.8209 | + | 3.94262i | −0.0674181 | + | 0.0134103i | ||||
\(295\) | −62.3820 | + | 41.6823i | −0.211465 | + | 0.141296i | ||||
\(296\) | −264.042 | − | 52.5212i | −0.892034 | − | 0.177437i | ||||
\(297\) | −125.351 | + | 51.9220i | −0.422057 | + | 0.174822i | ||||
\(298\) | 78.5272 | + | 189.581i | 0.263514 | + | 0.636179i | ||||
\(299\) | −68.3439 | + | 343.588i | −0.228575 | + | 1.14912i | ||||
\(300\) | 4.69438 | + | 7.02563i | 0.0156479 | + | 0.0234188i | ||||
\(301\) | 18.5080 | + | 93.0461i | 0.0614884 | + | 0.309123i | ||||
\(302\) | 91.6043 | − | 91.6043i | 0.303326 | − | 0.303326i | ||||
\(303\) | 14.3392 | − | 21.4602i | 0.0473242 | − | 0.0708257i | ||||
\(304\) | 211.954 | + | 87.7942i | 0.697217 | + | 0.288797i | ||||
\(305\) | 31.0436i | 0.101782i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 75.7223 | 0.246653 | 0.123326 | − | 0.992366i | \(-0.460644\pi\) | ||||
0.123326 | + | 0.992366i | \(0.460644\pi\) | |||||||
\(308\) | −24.9202 | + | 60.1628i | −0.0809098 | + | 0.195334i | ||||
\(309\) | −22.6329 | − | 15.1228i | −0.0732455 | − | 0.0489411i | ||||
\(310\) | 79.1036 | + | 79.1036i | 0.255173 | + | 0.255173i | ||||
\(311\) | 319.599 | − | 63.5722i | 1.02765 | − | 0.204412i | 0.347650 | − | 0.937625i | \(-0.386980\pi\) |
0.680000 | + | 0.733212i | \(0.261980\pi\) | |||||||
\(312\) | −58.5407 | + | 39.1157i | −0.187631 | + | 0.125371i | ||||
\(313\) | −110.039 | − | 21.8881i | −0.351561 | − | 0.0699299i | 0.0161508 | − | 0.999870i | \(-0.494859\pi\) |
−0.367712 | + | 0.929940i | \(0.619859\pi\) | |||||||
\(314\) | 230.883 | − | 95.6348i | 0.735295 | − | 0.304569i | ||||
\(315\) | 21.1504 | + | 51.0615i | 0.0671440 | + | 0.162100i | ||||
\(316\) | −6.73483 | + | 33.8583i | −0.0213128 | + | 0.107146i | ||||
\(317\) | −181.597 | − | 271.778i | −0.572860 | − | 0.857345i | 0.426018 | − | 0.904715i | \(-0.359916\pi\) |
−0.998877 | + | 0.0473697i | \(0.984916\pi\) | |||||||
\(318\) | −1.64230 | − | 8.25641i | −0.00516447 | − | 0.0259635i | ||||
\(319\) | 274.547 | − | 274.547i | 0.860650 | − | 0.860650i | ||||
\(320\) | −50.4115 | + | 75.4461i | −0.157536 | + | 0.235769i | ||||
\(321\) | −50.4428 | − | 20.8941i | −0.157143 | − | 0.0650906i | ||||
\(322\) | 172.289i | 0.535058i | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −59.6697 | −0.184166 | ||||||||
\(325\) | 160.617 | − | 387.763i | 0.494205 | − | 1.19312i | ||||
\(326\) | 325.873 | + | 217.742i | 0.999611 | + | 0.667919i | ||||
\(327\) | −42.4701 | − | 42.4701i | −0.129878 | − | 0.129878i | ||||
\(328\) | 554.368 | − | 110.271i | 1.69015 | − | 0.336191i | ||||
\(329\) | 39.9574 | − | 26.6987i | 0.121451 | − | 0.0811509i | ||||
\(330\) | −17.0853 | − | 3.39848i | −0.0517736 | − | 0.0102984i | ||||
\(331\) | 407.823 | − | 168.926i | 1.23209 | − | 0.510350i | 0.330859 | − | 0.943680i | \(-0.392662\pi\) |
0.901235 | + | 0.433330i | \(0.142662\pi\) | |||||||
\(332\) | 20.8781 | + | 50.4043i | 0.0628860 | + | 0.151820i | ||||
\(333\) | 53.7984 | − | 270.463i | 0.161557 | − | 0.812201i | ||||
\(334\) | −224.688 | − | 336.269i | −0.672717 | − | 1.00679i | ||||
\(335\) | −21.5594 | − | 108.386i | −0.0643563 | − | 0.323541i | ||||
\(336\) | −19.4436 | + | 19.4436i | −0.0578677 | + | 0.0578677i | ||||
\(337\) | 180.442 | − | 270.051i | 0.535437 | − | 0.801338i | −0.460846 | − | 0.887480i | \(-0.652454\pi\) |
0.996283 | + | 0.0861424i | \(0.0274540\pi\) | |||||||
\(338\) | 253.923 | + | 105.178i | 0.751251 | + | 0.311178i | ||||
\(339\) | 39.3121i | 0.115965i | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −817.519 | −2.39742 | ||||||||
\(342\) | −113.244 | + | 273.394i | −0.331122 | + | 0.799399i | ||||
\(343\) | −302.087 | − | 201.848i | −0.880720 | − | 0.588478i | ||||
\(344\) | −116.783 | − | 116.783i | −0.339485 | − | 0.339485i | ||||
\(345\) | 11.1473 | − | 2.21734i | 0.0323111 | − | 0.00642707i | ||||
\(346\) | −505.211 | + | 337.571i | −1.46015 | + | 0.975640i | ||||
\(347\) | −201.729 | − | 40.1264i | −0.581352 | − | 0.115638i | −0.104351 | − | 0.994541i | \(-0.533276\pi\) |
−0.477001 | + | 0.878902i | \(0.658276\pi\) | |||||||
\(348\) | −7.76829 | + | 3.21773i | −0.0223227 | + | 0.00924635i | ||||
\(349\) | 28.7416 | + | 69.3883i | 0.0823540 | + | 0.198820i | 0.959693 | − | 0.281052i | \(-0.0906832\pi\) |
−0.877339 | + | 0.479872i | \(0.840683\pi\) | |||||||
\(350\) | 40.2697 | − | 202.450i | 0.115056 | − | 0.578427i | ||||
\(351\) | −81.0850 | − | 121.352i | −0.231011 | − | 0.345733i | ||||
\(352\) | −40.5806 | − | 204.013i | −0.115286 | − | 0.579581i | ||||
\(353\) | 278.396 | − | 278.396i | 0.788657 | − | 0.788657i | −0.192617 | − | 0.981274i | \(-0.561697\pi\) |
0.981274 | + | 0.192617i | \(0.0616975\pi\) | |||||||
\(354\) | 26.7493 | − | 40.0332i | 0.0755631 | − | 0.113088i | ||||
\(355\) | −44.0411 | − | 18.2424i | −0.124059 | − | 0.0513871i | ||||
\(356\) | 41.7932i | 0.117397i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 286.356 | 0.799876 | ||||||||
\(359\) | 253.322 | − | 611.573i | 0.705632 | − | 1.70355i | −0.00500591 | − | 0.999987i | \(-0.501593\pi\) |
0.710638 | − | 0.703558i | \(-0.248407\pi\) | |||||||
\(360\) | −80.0009 | − | 53.4549i | −0.222225 | − | 0.148486i | ||||
\(361\) | 5.57731 | + | 5.57731i | 0.0154496 | + | 0.0154496i | ||||
\(362\) | 46.3848 | − | 9.22651i | 0.128135 | − | 0.0254876i | ||||
\(363\) | 59.8850 | − | 40.0139i | 0.164973 | − | 0.110231i | ||||
\(364\) | −68.7030 | − | 13.6659i | −0.188745 | − | 0.0375436i | ||||
\(365\) | −152.014 | + | 62.9664i | −0.416477 | + | 0.172511i | ||||
\(366\) | −7.62381 | − | 18.4055i | −0.0208301 | − | 0.0502883i | ||||
\(367\) | −49.8785 | + | 250.756i | −0.135909 | + | 0.683259i | 0.851409 | + | 0.524502i | \(0.175749\pi\) |
−0.987318 | + | 0.158757i | \(0.949251\pi\) | |||||||
\(368\) | −132.328 | − | 198.043i | −0.359588 | − | 0.538161i | ||||
\(369\) | 112.952 | + | 567.849i | 0.306104 | + | 1.53889i | ||||
\(370\) | 50.6653 | − | 50.6653i | 0.136933 | − | 0.136933i | ||||
\(371\) | 28.1750 | − | 42.1669i | 0.0759434 | − | 0.113657i | ||||
\(372\) | 16.3565 | + | 6.77509i | 0.0439691 | + | 0.0182126i | ||||
\(373\) | − | 283.505i | − | 0.760066i | −0.924973 | − | 0.380033i | \(-0.875913\pi\) | ||
0.924973 | − | 0.380033i | \(-0.124087\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −28.1814 | −0.0751505 | ||||||||
\(376\) | −32.0155 | + | 77.2923i | −0.0851477 | + | 0.205565i | ||||
\(377\) | 347.271 | + | 232.039i | 0.921142 | + | 0.615488i | ||||
\(378\) | −50.7550 | − | 50.7550i | −0.134272 | − | 0.134272i | ||||
\(379\) | −526.689 | + | 104.765i | −1.38968 | + | 0.276425i | −0.832527 | − | 0.553984i | \(-0.813107\pi\) |
−0.557155 | + | 0.830409i | \(0.688107\pi\) | |||||||
\(380\) | 15.7658 | − | 10.5344i | 0.0414889 | − | 0.0277220i | ||||
\(381\) | −15.0515 | − | 2.99393i | −0.0395052 | − | 0.00785808i | ||||
\(382\) | 555.697 | − | 230.177i | 1.45471 | − | 0.602559i | ||||
\(383\) | 226.850 | + | 547.664i | 0.592298 | + | 1.42993i | 0.881278 | + | 0.472598i | \(0.156684\pi\) |
−0.288981 | + | 0.957335i | \(0.593316\pi\) | |||||||
\(384\) | 6.91778 | − | 34.7780i | 0.0180151 | − | 0.0905678i | ||||
\(385\) | −58.3036 | − | 87.2575i | −0.151438 | − | 0.226643i | ||||
\(386\) | 70.4854 | + | 354.354i | 0.182605 | + | 0.918016i | ||||
\(387\) | 119.623 | − | 119.623i | 0.309103 | − | 0.309103i | ||||
\(388\) | −44.3573 | + | 66.3854i | −0.114323 | + | 0.171096i | ||||
\(389\) | −537.156 | − | 222.497i | −1.38086 | − | 0.571973i | −0.436152 | − | 0.899873i | \(-0.643659\pi\) |
−0.944712 | + | 0.327900i | \(0.893659\pi\) | |||||||
\(390\) | − | 18.7386i | − | 0.0480478i | ||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 211.947 | 0.540682 | ||||||||
\(393\) | −16.1588 | + | 39.0108i | −0.0411166 | + | 0.0992642i | ||||
\(394\) | −167.167 | − | 111.697i | −0.424281 | − | 0.283496i | ||||
\(395\) | −39.3387 | − | 39.3387i | −0.0995917 | − | 0.0995917i | ||||
\(396\) | 113.892 | − | 22.6544i | 0.287605 | − | 0.0572082i | ||||
\(397\) | 237.671 | − | 158.807i | 0.598668 | − | 0.400017i | −0.218985 | − | 0.975728i | \(-0.570275\pi\) |
0.817653 | + | 0.575711i | \(0.195275\pi\) | |||||||
\(398\) | −39.0286 | − | 7.76327i | −0.0980618 | − | 0.0195057i | ||||
\(399\) | 39.1015 | − | 16.1964i | 0.0979986 | − | 0.0405924i | ||||
\(400\) | 109.204 | + | 263.643i | 0.273011 | + | 0.659107i | ||||
\(401\) | −92.9312 | + | 467.197i | −0.231749 | + | 1.16508i | 0.673168 | + | 0.739490i | \(0.264933\pi\) |
−0.904916 | + | 0.425589i | \(0.860067\pi\) | |||||||
\(402\) | 39.4003 | + | 58.9668i | 0.0980108 | + | 0.146684i | ||||
\(403\) | −171.563 | − | 862.504i | −0.425714 | − | 2.14021i | ||||
\(404\) | −31.6106 | + | 31.6106i | −0.0782441 | + | 0.0782441i | ||||
\(405\) | 53.4240 | − | 79.9547i | 0.131911 | − | 0.197419i | ||||
\(406\) | 189.771 | + | 78.6056i | 0.467416 | + | 0.193610i | ||||
\(407\) | 523.615i | 1.28652i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −334.165 | −0.817030 | −0.408515 | − | 0.912752i | \(-0.633953\pi\) | ||||
−0.408515 | + | 0.912752i | \(0.633953\pi\) | |||||||
\(410\) | −57.5692 | + | 138.984i | −0.140413 | + | 0.338986i | ||||
\(411\) | 9.85010 | + | 6.58163i | 0.0239662 | + | 0.0160137i | ||||
\(412\) | 33.3379 | + | 33.3379i | 0.0809173 | + | 0.0809173i | ||||
\(413\) | 284.483 | − | 56.5871i | 0.688820 | − | 0.137015i | ||||
\(414\) | 255.451 | − | 170.687i | 0.617032 | − | 0.412288i | ||||
\(415\) | −86.2323 | − | 17.1527i | −0.207789 | − | 0.0413317i | ||||
\(416\) | 206.723 | − | 85.6273i | 0.496929 | − | 0.205835i | ||||
\(417\) | 13.2008 | + | 31.8696i | 0.0316567 | + | 0.0764260i | ||||
\(418\) | 109.620 | − | 551.095i | 0.262248 | − | 1.31841i | ||||
\(419\) | 164.929 | + | 246.833i | 0.393625 | + | 0.589101i | 0.974361 | − | 0.224991i | \(-0.0722352\pi\) |
−0.580736 | + | 0.814092i | \(0.697235\pi\) | |||||||
\(420\) | 0.443373 | + | 2.22899i | 0.00105565 | + | 0.00530712i | ||||
\(421\) | −366.082 | + | 366.082i | −0.869554 | + | 0.869554i | −0.992423 | − | 0.122869i | \(-0.960791\pi\) |
0.122869 | + | 0.992423i | \(0.460791\pi\) | |||||||
\(422\) | −146.061 | + | 218.596i | −0.346116 | + | 0.517999i | ||||
\(423\) | −79.1719 | − | 32.7941i | −0.187168 | − | 0.0775274i | ||||
\(424\) | 88.2867i | 0.208223i | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 30.5917 | 0.0718114 | ||||||||
\(427\) | 45.9282 | − | 110.881i | 0.107560 | − | 0.259674i | ||||
\(428\) | 78.6304 | + | 52.5392i | 0.183716 | + | 0.122755i | ||||
\(429\) | 96.8300 | + | 96.8300i | 0.225711 | + | 0.225711i | ||||
\(430\) | 43.1117 | − | 8.57544i | 0.100260 | − | 0.0199429i | ||||
\(431\) | −384.629 | + | 257.001i | −0.892411 | + | 0.596290i | −0.914999 | − | 0.403455i | \(-0.867809\pi\) |
0.0225887 | + | 0.999745i | \(0.492809\pi\) | |||||||
\(432\) | 97.3251 | + | 19.3592i | 0.225290 | + | 0.0448129i | ||||
\(433\) | −515.716 | + | 213.616i | −1.19103 | + | 0.493341i | −0.888090 | − | 0.459669i | \(-0.847968\pi\) |
−0.302939 | + | 0.953010i | \(0.597968\pi\) | |||||||
\(434\) | −165.508 | − | 399.572i | −0.381355 | − | 0.920673i | ||||
\(435\) | 2.64356 | − | 13.2901i | 0.00607716 | − | 0.0305519i | ||||
\(436\) | 57.7960 | + | 86.4978i | 0.132560 | + | 0.198389i | ||||
\(437\) | 71.5215 | + | 359.563i | 0.163665 | + | 0.822798i | ||||
\(438\) | 74.6646 | − | 74.6646i | 0.170467 | − | 0.170467i | ||||
\(439\) | −12.3903 | + | 18.5434i | −0.0282239 | + | 0.0422400i | −0.845313 | − | 0.534271i | \(-0.820586\pi\) |
0.817089 | + | 0.576511i | \(0.195586\pi\) | |||||||
\(440\) | 168.788 | + | 69.9144i | 0.383610 | + | 0.158896i | ||||
\(441\) | 217.102i | 0.492294i | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 326.267 | 0.736494 | 0.368247 | − | 0.929728i | \(-0.379958\pi\) | ||||
0.368247 | + | 0.929728i | \(0.379958\pi\) | |||||||
\(444\) | 4.33940 | − | 10.4762i | 0.00977342 | − | 0.0235951i | ||||
\(445\) | −56.0010 | − | 37.4187i | −0.125845 | − | 0.0840869i | ||||
\(446\) | −197.592 | − | 197.592i | −0.443032 | − | 0.443032i | ||||
\(447\) | −51.3290 | + | 10.2100i | −0.114830 | + | 0.0228411i | ||||
\(448\) | 291.679 | − | 194.894i | 0.651070 | − | 0.435031i | ||||
\(449\) | 407.039 | + | 80.9650i | 0.906545 | + | 0.180323i | 0.626279 | − | 0.779599i | \(-0.284577\pi\) |
0.280266 | + | 0.959922i | \(0.409577\pi\) | |||||||
\(450\) | −340.066 | + | 140.860i | −0.755703 | + | 0.313022i | ||||
\(451\) | −420.704 | − | 1015.67i | −0.932826 | − | 2.25204i | ||||
\(452\) | 13.2838 | − | 66.7822i | 0.0293890 | − | 0.147748i | ||||
\(453\) | 18.3560 | + | 27.4717i | 0.0405210 | + | 0.0606440i | ||||
\(454\) | −35.8313 | − | 180.136i | −0.0789237 | − | 0.396776i | ||||
\(455\) | 79.8235 | − | 79.8235i | 0.175436 | − | 0.175436i | ||||
\(456\) | −40.9343 | + | 61.2625i | −0.0897681 | + | 0.134348i | ||||
\(457\) | 315.050 | + | 130.498i | 0.689386 | + | 0.285553i | 0.699745 | − | 0.714393i | \(-0.253297\pi\) |
−0.0103582 | + | 0.999946i | \(0.503297\pi\) | |||||||
\(458\) | − | 784.798i | − | 1.71353i | ||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −19.6860 | −0.0427956 | ||||||||
\(461\) | −214.694 | + | 518.318i | −0.465715 | + | 1.12433i | 0.500301 | + | 0.865851i | \(0.333223\pi\) |
−0.966016 | + | 0.258483i | \(0.916777\pi\) | |||||||
\(462\) | 55.9968 | + | 37.4159i | 0.121205 | + | 0.0809868i | ||||
\(463\) | 155.697 | + | 155.697i | 0.336278 | + | 0.336278i | 0.854965 | − | 0.518686i | \(-0.173579\pi\) |
−0.518686 | + | 0.854965i | \(0.673579\pi\) | |||||||
\(464\) | −278.513 | + | 55.3997i | −0.600243 | + | 0.119396i | ||||
\(465\) | −23.7228 | + | 15.8511i | −0.0510168 | + | 0.0340883i | ||||
\(466\) | −86.8089 | − | 17.2674i | −0.186285 | − | 0.0370544i | ||||
\(467\) | −506.522 | + | 209.808i | −1.08463 | + | 0.449268i | −0.852131 | − | 0.523328i | \(-0.824690\pi\) |
−0.232499 | + | 0.972597i | \(0.574690\pi\) | |||||||
\(468\) | 47.8021 | + | 115.404i | 0.102141 | + | 0.246591i | ||||
\(469\) | −83.3498 | + | 419.028i | −0.177718 | + | 0.893449i | ||||
\(470\) | −12.3705 | − | 18.5137i | −0.0263201 | − | 0.0393909i | ||||
\(471\) | 12.4343 | + | 62.5113i | 0.0263997 | + | 0.132720i | ||||
\(472\) | −357.057 | + | 357.057i | −0.756476 | + | 0.756476i | ||||
\(473\) | −178.462 | + | 267.088i | −0.377299 | + | 0.564668i | ||||
\(474\) | 32.9846 | + | 13.6627i | 0.0695878 | + | 0.0288242i | ||||
\(475\) | − | 439.225i | − | 0.924684i | ||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −90.4337 | −0.189588 | ||||||||
\(478\) | 53.9153 | − | 130.163i | 0.112794 | − | 0.272308i | ||||
\(479\) | −577.414 | − | 385.816i | −1.20546 | − | 0.805460i | −0.220019 | − | 0.975496i | \(-0.570612\pi\) |
−0.985438 | + | 0.170035i | \(0.945612\pi\) | |||||||
\(480\) | −5.13322 | − | 5.13322i | −0.0106942 | − | 0.0106942i | ||||
\(481\) | −552.428 | + | 109.885i | −1.14850 | + | 0.228451i | ||||
\(482\) | −113.359 | + | 75.7444i | −0.235186 | + | 0.157146i | ||||
\(483\) | −43.0962 | − | 8.57237i | −0.0892261 | − | 0.0177482i | ||||
\(484\) | −115.252 | + | 47.7389i | −0.238124 | + | 0.0986341i | ||||
\(485\) | −49.2390 | − | 118.874i | −0.101524 | − | 0.245100i | ||||
\(486\) | −37.6029 | + | 189.042i | −0.0773722 | + | 0.388976i | ||||
\(487\) | 297.090 | + | 444.626i | 0.610041 | + | 0.912991i | 0.999969 | − | 0.00785453i | \(-0.00250020\pi\) |
−0.389928 | + | 0.920845i | \(0.627500\pi\) | |||||||
\(488\) | 40.7611 | + | 204.920i | 0.0835269 | + | 0.419918i | ||||
\(489\) | −70.6799 | + | 70.6799i | −0.144540 | + | 0.144540i | ||||
\(490\) | −31.3396 | + | 46.9030i | −0.0639583 | + | 0.0957204i | ||||
\(491\) | −229.107 | − | 94.8993i | −0.466613 | − | 0.193278i | 0.136974 | − | 0.990575i | \(-0.456262\pi\) |
−0.603587 | + | 0.797297i | \(0.706262\pi\) | |||||||
\(492\) | 23.8076i | 0.0483894i | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 604.425 | 1.22353 | ||||||||
\(495\) | −71.6146 | + | 172.893i | −0.144676 | + | 0.349278i | ||||
\(496\) | 497.145 | + | 332.182i | 1.00231 | + | 0.669722i | ||||
\(497\) | 130.315 | + | 130.315i | 0.262204 | + | 0.262204i | ||||
\(498\) | 55.3389 | − | 11.0076i | 0.111122 | − | 0.0221036i | ||||
\(499\) | −153.590 | + | 102.626i | −0.307797 | + | 0.205663i | −0.699869 | − | 0.714271i | \(-0.746758\pi\) |
0.392072 | + | 0.919934i | \(0.371758\pi\) | |||||||
\(500\) | 47.8738 | + | 9.52269i | 0.0957476 | + | 0.0190454i | ||||
\(501\) | 95.2936 | − | 39.4719i | 0.190207 | − | 0.0787862i | ||||
\(502\) | 27.8678 | + | 67.2787i | 0.0555135 | + | 0.134021i | ||||
\(503\) | 124.035 | − | 623.566i | 0.246590 | − | 1.23969i | −0.636790 | − | 0.771037i | \(-0.719738\pi\) |
0.883381 | − | 0.468656i | \(-0.155262\pi\) | |||||||
\(504\) | 206.660 | + | 309.288i | 0.410040 | + | 0.613668i | ||||
\(505\) | −14.0549 | − | 70.6587i | −0.0278315 | − | 0.139918i | ||||
\(506\) | −412.501 | + | 412.501i | −0.815220 | + | 0.815220i | ||||
\(507\) | −38.9434 | + | 58.2829i | −0.0768114 | + | 0.114956i | ||||
\(508\) | 24.5573 | + | 10.1720i | 0.0483412 | + | 0.0200236i | ||||
\(509\) | − | 251.345i | − | 0.493801i | −0.969041 | − | 0.246900i | \(-0.920588\pi\) | ||
0.969041 | − | 0.246900i | \(-0.0794121\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 636.118 | 1.24485 | ||||||||
\(512\) | −218.612 | + | 527.777i | −0.426977 | + | 1.03081i | ||||
\(513\) | −126.994 | − | 84.8549i | −0.247552 | − | 0.165409i | ||||
\(514\) | 39.3438 | + | 39.3438i | 0.0765443 | + | 0.0765443i | ||||
\(515\) | −74.5198 | + | 14.8229i | −0.144699 | + | 0.0287824i | ||||
\(516\) | 5.78404 | − | 3.86477i | 0.0112094 | − | 0.00748987i | ||||
\(517\) | 159.591 | + | 31.7446i | 0.308686 | + | 0.0614015i | ||||
\(518\) | −255.923 | + | 106.007i | −0.494060 | + | 0.204646i | ||||
\(519\) | −59.3027 | − | 143.169i | −0.114263 | − | 0.275856i | ||||
\(520\) | −38.3400 | + | 192.748i | −0.0737308 | + | 0.370670i | ||||
\(521\) | 321.047 | + | 480.481i | 0.616214 | + | 0.922229i | 0.999999 | − | 0.00119333i | \(-0.000379849\pi\) |
−0.383786 | + | 0.923422i | \(0.625380\pi\) | |||||||
\(522\) | −71.4587 | − | 359.247i | −0.136894 | − | 0.688213i | ||||
\(523\) | −58.3561 | + | 58.3561i | −0.111580 | + | 0.111580i | −0.760692 | − | 0.649113i | \(-0.775140\pi\) |
0.649113 | + | 0.760692i | \(0.275140\pi\) | |||||||
\(524\) | 40.6321 | − | 60.8102i | 0.0775422 | − | 0.116050i | ||||
\(525\) | 48.6370 | + | 20.1461i | 0.0926419 | + | 0.0383735i | ||||
\(526\) | 483.225i | 0.918679i | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −93.1053 | −0.176336 | ||||||||
\(529\) | −56.7837 | + | 137.088i | −0.107342 | + | 0.259146i | ||||
\(530\) | −19.5375 | − | 13.0545i | −0.0368631 | − | 0.0246312i | ||||
\(531\) | −365.740 | − | 365.740i | −0.688775 | − | 0.688775i | ||||
\(532\) | −71.8972 | + | 14.3012i | −0.135145 | + | 0.0268820i | ||||
\(533\) | 983.271 | − | 657.001i | 1.84479 | − | 1.23265i | ||||
\(534\) | 42.3920 | + | 8.43230i | 0.0793858 | + | 0.0157908i | ||||
\(535\) | −140.800 | + | 58.3214i | −0.263178 | + | 0.109012i | ||||
\(536\) | −284.629 | − | 687.155i | −0.531024 | − | 1.28201i | ||||
\(537\) | −14.2479 | + | 71.6289i | −0.0265324 | + | 0.133387i | ||||
\(538\) | 124.451 | + | 186.255i | 0.231322 | + | 0.346198i | ||||
\(539\) | −80.4224 | − | 404.310i | −0.149207 | − | 0.750112i | ||||
\(540\) | 5.79935 | − | 5.79935i | 0.0107395 | − | 0.0107395i | ||||
\(541\) | −76.4150 | + | 114.363i | −0.141248 | + | 0.211392i | −0.895348 | − | 0.445367i | \(-0.853073\pi\) |
0.754100 | + | 0.656759i | \(0.228073\pi\) | |||||||
\(542\) | −186.419 | − | 77.2173i | −0.343946 | − | 0.142467i | ||||
\(543\) | 12.0617i | 0.0222132i | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −167.650 | −0.307614 | ||||||||
\(546\) | −27.7234 | + | 66.9302i | −0.0507754 | + | 0.122583i | ||||
\(547\) | 479.332 | + | 320.279i | 0.876293 | + | 0.585520i | 0.910322 | − | 0.413901i | \(-0.135834\pi\) |
−0.0340294 | + | 0.999421i | \(0.510834\pi\) | |||||||
\(548\) | −14.5091 | − | 14.5091i | −0.0264764 | − | 0.0264764i | ||||
\(549\) | −209.903 | + | 41.7524i | −0.382338 | + | 0.0760517i | ||||
\(550\) | 581.130 | − | 388.298i | 1.05660 | − | 0.705997i | ||||
\(551\) | 428.679 | + | 85.2695i | 0.778001 | + | 0.154754i | ||||
\(552\) | 70.6726 | − | 29.2735i | 0.128030 | − | 0.0530318i | ||||
\(553\) | 82.3083 | + | 198.710i | 0.148840 | + | 0.359330i | ||||
\(554\) | 52.9460 | − | 266.178i | 0.0955704 | − | 0.480465i | ||||
\(555\) | 10.1525 | + | 15.1943i | 0.0182928 | + | 0.0273771i | ||||
\(556\) | −11.6562 | − | 58.5998i | −0.0209644 | − | 0.105395i | ||||
\(557\) | −298.240 | + | 298.240i | −0.535440 | + | 0.535440i | −0.922186 | − | 0.386746i | \(-0.873599\pi\) |
0.386746 | + | 0.922186i | \(0.373599\pi\) | |||||||
\(558\) | −428.473 | + | 641.256i | −0.767874 | + | 1.14920i | ||||
\(559\) | −319.236 | − | 132.232i | −0.571085 | − | 0.236551i | ||||
\(560\) | 76.7530i | 0.137059i | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −623.521 | −1.10947 | ||||||||
\(563\) | 227.953 | − | 550.327i | 0.404890 | − | 0.977490i | −0.581571 | − | 0.813495i | \(-0.697562\pi\) |
0.986461 | − | 0.163995i | \(-0.0524381\pi\) | |||||||
\(564\) | −2.92994 | − | 1.95772i | −0.00519492 | − | 0.00347114i | ||||
\(565\) | 77.5918 | + | 77.5918i | 0.137331 | + | 0.137331i | ||||
\(566\) | −485.622 | + | 96.5962i | −0.857990 | + | 0.170665i | ||||
\(567\) | −309.110 | + | 206.541i | −0.545167 | + | 0.364269i | ||||
\(568\) | −314.670 | − | 62.5918i | −0.553997 | − | 0.110197i | ||||
\(569\) | −117.239 | + | 48.5619i | −0.206044 | + | 0.0853461i | −0.483319 | − | 0.875445i | \(-0.660569\pi\) |
0.277275 | + | 0.960791i | \(0.410569\pi\) | |||||||
\(570\) | −7.50436 | − | 18.1171i | −0.0131656 | − | 0.0317845i | ||||
\(571\) | −50.8634 | + | 255.708i | −0.0890778 | + | 0.447824i | 0.910345 | + | 0.413850i | \(0.135816\pi\) |
−0.999423 | + | 0.0339738i | \(0.989184\pi\) | |||||||
\(572\) | −131.772 | − | 197.211i | −0.230371 | − | 0.344775i | ||||
\(573\) | 29.9273 | + | 150.455i | 0.0522291 | + | 0.262573i | ||||
\(574\) | 411.248 | − | 411.248i | 0.716461 | − | 0.716461i | ||||
\(575\) | −253.346 | + | 379.159i | −0.440601 | + | 0.659406i | ||||
\(576\) | −577.936 | − | 239.389i | −1.00336 | − | 0.415606i | ||||
\(577\) | − | 781.486i | − | 1.35440i | −0.735801 | − | 0.677198i | \(-0.763194\pi\) | ||
0.735801 | − | 0.677198i | \(-0.236806\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −92.1451 | −0.159145 | ||||||||
\(580\) | −8.98161 | + | 21.6835i | −0.0154855 | + | 0.0373854i | ||||
\(581\) | 282.625 | + | 188.844i | 0.486446 | + | 0.325033i | ||||
\(582\) | 58.3869 | + | 58.3869i | 0.100321 | + | 0.100321i | ||||
\(583\) | 168.416 | − | 33.5000i | 0.288878 | − | 0.0574613i | ||||
\(584\) | −920.777 | + | 615.243i | −1.57667 | + | 1.05350i | ||||
\(585\) | −197.435 | − | 39.2724i | −0.337497 | − | 0.0671322i | ||||
\(586\) | −482.983 | + | 200.058i | −0.824202 | + | 0.341396i | ||||
\(587\) | 9.42604 | + | 22.7565i | 0.0160580 | + | 0.0387674i | 0.931705 | − | 0.363215i | \(-0.118321\pi\) |
−0.915647 | + | 0.401983i | \(0.868321\pi\) | |||||||
\(588\) | −1.74162 | + | 8.75574i | −0.00296195 | + | 0.0148907i | ||||
\(589\) | −511.285 | − | 765.191i | −0.868055 | − | 1.29914i | ||||
\(590\) | −26.2189 | − | 131.811i | −0.0444388 | − | 0.223409i | ||||
\(591\) | 36.2574 | − | 36.2574i | 0.0613493 | − | 0.0613493i | ||||
\(592\) | 212.760 | − | 318.418i | 0.359392 | − | 0.537868i | ||||
\(593\) | 699.984 | + | 289.943i | 1.18041 | + | 0.488942i | 0.884621 | − | 0.466311i | \(-0.154417\pi\) |
0.295790 | + | 0.955253i | \(0.404417\pi\) | |||||||
\(594\) | − | 243.040i | − | 0.409158i | ||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 90.6462 | 0.152091 | ||||||||
\(597\) | 3.88380 | − | 9.37633i | 0.00650553 | − | 0.0157057i | ||||
\(598\) | −521.766 | − | 348.633i | −0.872519 | − | 0.582999i | ||||
\(599\) | −188.143 | − | 188.143i | −0.314095 | − | 0.314095i | 0.532399 | − | 0.846494i | \(-0.321291\pi\) |
−0.846494 | + | 0.532399i | \(0.821291\pi\) | |||||||
\(600\) | −89.8868 | + | 17.8796i | −0.149811 | + | 0.0297993i | ||||
\(601\) | 104.889 | − | 70.0849i | 0.174525 | − | 0.116614i | −0.465240 | − | 0.885185i | \(-0.654032\pi\) |
0.639765 | + | 0.768571i | \(0.279032\pi\) | |||||||
\(602\) | −166.672 | − | 33.1532i | −0.276864 | − | 0.0550717i | ||||
\(603\) | 703.865 | − | 291.551i | 1.16727 | − | 0.483500i | ||||
\(604\) | −21.8998 | − | 52.8708i | −0.0362579 | − | 0.0875344i | ||||
\(605\) | 39.2204 | − | 197.174i | 0.0648272 | − | 0.325908i | ||||
\(606\) | 25.6857 | + | 38.4414i | 0.0423857 | + | 0.0634346i | ||||
\(607\) | 190.889 | + | 959.665i | 0.314480 | + | 1.58100i | 0.737802 | + | 0.675018i | \(0.235864\pi\) |
−0.423322 | + | 0.905979i | \(0.639136\pi\) | |||||||
\(608\) | 165.575 | − | 165.575i | 0.272327 | − | 0.272327i | ||||
\(609\) | −29.1046 | + | 43.5581i | −0.0477908 | + | 0.0715240i | ||||
\(610\) | −51.3750 | − | 21.2802i | −0.0842214 | − | 0.0348856i | ||||
\(611\) | 175.034i | 0.286472i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 597.633 | 0.974932 | 0.487466 | − | 0.873142i | \(-0.337921\pi\) | ||||
0.487466 | + | 0.873142i | \(0.337921\pi\) | |||||||
\(614\) | −51.9074 | + | 125.316i | −0.0845397 | + | 0.204097i | ||||
\(615\) | −31.9011 | − | 21.3156i | −0.0518717 | − | 0.0346596i | ||||
\(616\) | −499.437 | − | 499.437i | −0.810774 | − | 0.810774i | ||||
\(617\) | 227.603 | − | 45.2731i | 0.368887 | − | 0.0733762i | −0.00716592 | − | 0.999974i | \(-0.502281\pi\) |
0.376053 | + | 0.926598i | \(0.377281\pi\) | |||||||
\(618\) | 40.5420 | − | 27.0893i | 0.0656019 | − | 0.0438338i | ||||
\(619\) | −1027.91 | − | 204.464i | −1.66060 | − | 0.330314i | −0.726457 | − | 0.687212i | \(-0.758835\pi\) |
−0.934144 | + | 0.356897i | \(0.883835\pi\) | |||||||
\(620\) | 45.6557 | − | 18.9112i | 0.0736383 | − | 0.0305020i | ||||
\(621\) | 60.6827 | + | 146.501i | 0.0977177 | + | 0.235912i | ||||
\(622\) | −113.876 | + | 572.494i | −0.183080 | + | 0.920408i | ||||
\(623\) | 144.663 | + | 216.503i | 0.232204 | + | 0.347517i | ||||
\(624\) | −19.5389 | − | 98.2286i | −0.0313123 | − | 0.157418i | ||||
\(625\) | 357.573 | − | 357.573i | 0.572116 | − | 0.572116i | ||||
\(626\) | 111.654 | − | 167.103i | 0.178362 | − | 0.266937i | ||||
\(627\) | 132.396 | + | 54.8404i | 0.211159 | + | 0.0874648i | ||||
\(628\) | − | 110.394i | − | 0.175787i | ||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | −99.0019 | −0.157146 | ||||||||
\(631\) | −239.903 | + | 579.177i | −0.380195 | + | 0.917872i | 0.611733 | + | 0.791065i | \(0.290473\pi\) |
−0.991927 | + | 0.126807i | \(0.959527\pi\) | |||||||
\(632\) | −311.330 | − | 208.024i | −0.492610 | − | 0.329152i | ||||
\(633\) | −47.4120 | − | 47.4120i | −0.0749005 | − | 0.0749005i | ||||
\(634\) | 574.259 | − | 114.227i | 0.905771 | − | 0.180169i | ||||
\(635\) | −35.6169 | + | 23.7985i | −0.0560896 | + | 0.0374779i | ||||
\(636\) | −3.64720 | − | 0.725474i | −0.00573460 | − | 0.00114068i | ||||
\(637\) | 409.681 | − | 169.695i | 0.643141 | − | 0.266398i | ||||
\(638\) | 266.157 | + | 642.559i | 0.417173 | + | 1.00715i | ||||
\(639\) | 64.1139 | − | 322.322i | 0.100335 | − | 0.504417i | ||||
\(640\) | −54.9888 | − | 82.2966i | −0.0859201 | − | 0.128588i | ||||
\(641\) | −116.579 | − | 586.081i | −0.181870 | − | 0.914322i | −0.958658 | − | 0.284560i | \(-0.908152\pi\) |
0.776788 | − | 0.629762i | \(-0.216848\pi\) | |||||||
\(642\) | 69.1567 | − | 69.1567i | 0.107721 | − | 0.107721i | ||||
\(643\) | −333.257 | + | 498.754i | −0.518285 | + | 0.775668i | −0.994619 | − | 0.103596i | \(-0.966965\pi\) |
0.476335 | + | 0.879264i | \(0.341965\pi\) | |||||||
\(644\) | 70.3139 | + | 29.1250i | 0.109183 | + | 0.0452251i | ||||
\(645\) | 11.2106i | 0.0173808i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −603.991 | −0.933525 | −0.466763 | − | 0.884383i | \(-0.654580\pi\) | ||||
−0.466763 | + | 0.884383i | \(0.654580\pi\) | |||||||
\(648\) | 247.672 | − | 597.933i | 0.382210 | − | 0.922736i | ||||
\(649\) | 816.604 | + | 545.638i | 1.25825 | + | 0.840736i | ||||
\(650\) | 531.620 | + | 531.620i | 0.817877 | + | 0.817877i | ||||
\(651\) | 108.184 | − | 21.5191i | 0.166181 | − | 0.0330554i | ||||
\(652\) | 143.952 | − | 96.1857i | 0.220785 | − | 0.147524i | ||||
\(653\) | −286.134 | − | 56.9156i | −0.438184 | − | 0.0871602i | −0.0289316 | − | 0.999581i | \(-0.509210\pi\) |
−0.409253 | + | 0.912421i | \(0.634210\pi\) | |||||||
\(654\) | 99.3982 | − | 41.1721i | 0.151985 | − | 0.0629543i | ||||
\(655\) | 45.1039 | + | 108.890i | 0.0688609 | + | 0.166245i | ||||
\(656\) | −156.860 | + | 788.589i | −0.239116 | + | 1.20212i | ||||
\(657\) | −630.205 | − | 943.168i | −0.959216 | − | 1.43557i | ||||
\(658\) | 16.7939 | + | 84.4286i | 0.0255226 | + | 0.128311i | ||||
\(659\) | −22.5722 | + | 22.5722i | −0.0342523 | + | 0.0342523i | −0.724025 | − | 0.689773i | \(-0.757710\pi\) |
0.689773 | + | 0.724025i | \(0.257710\pi\) | |||||||
\(660\) | −4.27520 | + | 6.39829i | −0.00647758 | + | 0.00969438i | ||||
\(661\) | −265.707 | − | 110.059i | −0.401977 | − | 0.166504i | 0.172530 | − | 0.985004i | \(-0.444806\pi\) |
−0.574506 | + | 0.818500i | \(0.694806\pi\) | |||||||
\(662\) | 790.719i | 1.19444i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −591.746 | −0.891183 | ||||||||
\(665\) | 45.2087 | − | 109.143i | 0.0679830 | − | 0.164125i | ||||
\(666\) | 410.720 | + | 274.434i | 0.616697 | + | 0.412063i | ||||
\(667\) | −320.871 | − | 320.871i | −0.481066 | − | 0.481066i | ||||
\(668\) | −175.220 | + | 34.8534i | −0.262305 | + | 0.0521757i | ||||
\(669\) | 59.2570 | − | 39.5943i | 0.0885755 | − | 0.0591842i | ||||
\(670\) | 194.151 | + | 38.6190i | 0.289778 | + | 0.0576403i | ||||
\(671\) | 375.439 | − | 155.512i | 0.559521 | − | 0.231761i | ||||
\(672\) | 10.7402 | + | 25.9292i | 0.0159825 | + | 0.0385851i | ||||
\(673\) | 159.205 | − | 800.378i | 0.236560 | − | 1.18927i | −0.661687 | − | 0.749780i | \(-0.730159\pi\) |
0.898248 | − | 0.439490i | \(-0.144841\pi\) | |||||||
\(674\) | 323.224 | + | 483.739i | 0.479561 | + | 0.717713i | ||||
\(675\) | −37.0636 | − | 186.331i | −0.0549090 | − | 0.276046i | ||||
\(676\) | 85.8500 | − | 85.8500i | 0.126997 | − | 0.126997i | ||||
\(677\) | 714.872 | − | 1069.88i | 1.05594 | − | 1.58033i | 0.269161 | − | 0.963095i | \(-0.413254\pi\) |
0.786780 | − | 0.617233i | \(-0.211746\pi\) | |||||||
\(678\) | −65.0590 | − | 26.9483i | −0.0959572 | − | 0.0397468i | ||||
\(679\) | 497.438i | 0.732603i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 46.8420 | 0.0687842 | ||||||||
\(682\) | 560.406 | − | 1352.94i | 0.821710 | − | 1.98378i | ||||
\(683\) | −600.830 | − | 401.462i | −0.879692 | − | 0.587792i | 0.0316235 | − | 0.999500i | \(-0.489932\pi\) |
−0.911316 | + | 0.411708i | \(0.864932\pi\) | |||||||
\(684\) | 92.4333 | + | 92.4333i | 0.135136 | + | 0.135136i | ||||
\(685\) | 32.4319 | − | 6.45111i | 0.0473459 | − | 0.00941768i | ||||
\(686\) | 541.125 | − | 361.568i | 0.788812 | − | 0.527067i | ||||
\(687\) | 196.309 | + | 39.0483i | 0.285748 | + | 0.0568389i | ||||
\(688\) | 217.051 | − | 89.9055i | 0.315481 | − | 0.130677i | ||||
\(689\) | 70.6867 | + | 170.653i | 0.102593 | + | 0.247682i | ||||
\(690\) | −3.97189 | + | 19.9681i | −0.00575637 | + | 0.0289392i | ||||
\(691\) | −543.201 | − | 812.958i | −0.786108 | − | 1.17649i | −0.980682 | − | 0.195606i | \(-0.937332\pi\) |
0.194574 | − | 0.980888i | \(-0.437668\pi\) | |||||||
\(692\) | 52.3638 | + | 263.251i | 0.0756703 | + | 0.380420i | ||||
\(693\) | 511.582 | − | 511.582i | 0.738214 | − | 0.738214i | ||||
\(694\) | 204.691 | − | 306.342i | 0.294944 | − | 0.441415i | ||||
\(695\) | 88.9574 | + | 36.8473i | 0.127996 | + | 0.0530178i | ||||
\(696\) | − | 91.1996i | − | 0.131034i | ||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −134.535 | −0.192744 | ||||||||
\(699\) | 8.63850 | − | 20.8552i | 0.0123584 | − | 0.0298357i | ||||
\(700\) | −75.8156 | − | 50.6584i | −0.108308 | − | 0.0723691i | ||||
\(701\) | 54.7065 | + | 54.7065i | 0.0780407 | + | 0.0780407i | 0.745050 | − | 0.667009i | \(-0.232426\pi\) |
−0.667009 | + | 0.745050i | \(0.732426\pi\) | |||||||
\(702\) | 256.413 | − | 51.0038i | 0.365261 | − | 0.0726550i | ||||
\(703\) | −490.100 | + | 327.474i | −0.697155 | + | 0.465824i | ||||
\(704\) | 1164.97 | + | 231.728i | 1.65479 | + | 0.329159i | ||||
\(705\) | 5.24652 | − | 2.17318i | 0.00744187 | − | 0.00308252i | ||||
\(706\) | 269.888 | + | 651.566i | 0.382277 | + | 0.922899i | ||||
\(707\) | −54.3371 | + | 273.171i | −0.0768559 | + | 0.386380i | ||||
\(708\) | −11.8163 | − | 17.6844i | −0.0166897 | − | 0.0249779i | ||||
\(709\) | 11.1548 | + | 56.0789i | 0.0157331 | + | 0.0790958i | 0.987854 | − | 0.155384i | \(-0.0496614\pi\) |
−0.972121 | + | 0.234480i | \(0.924661\pi\) | |||||||
\(710\) | 60.3800 | − | 60.3800i | 0.0850422 | − | 0.0850422i | ||||
\(711\) | 213.083 | − | 318.901i | 0.299694 | − | 0.448524i | ||||
\(712\) | −418.797 | − | 173.472i | −0.588199 | − | 0.243640i | ||||
\(713\) | 955.457i | 1.34005i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 382.234 | 0.534593 | ||||||||
\(716\) | 48.4077 | − | 116.867i | 0.0676085 | − | 0.163221i | ||||
\(717\) | 29.8763 | + | 19.9627i | 0.0416685 | + | 0.0278420i | ||||
\(718\) | 838.462 | + | 838.462i | 1.16777 | + | 1.16777i | ||||
\(719\) | 890.436 | − | 177.119i | 1.23844 | − | 0.246340i | 0.467926 | − | 0.883768i | \(-0.345001\pi\) |
0.770511 | + | 0.637427i | \(0.220001\pi\) | |||||||
\(720\) | 113.801 | − | 76.0396i | 0.158057 | − | 0.105611i | ||||
\(721\) | 288.098 | + | 57.3063i | 0.399581 | + | 0.0794817i | ||||
\(722\) | −13.0533 | + | 5.40685i | −0.0180794 | + | 0.00748871i | ||||
\(723\) | −13.3064 | − | 32.1244i | −0.0184044 | − | 0.0444321i | ||||
\(724\) | 4.07574 | − | 20.4901i | 0.00562948 | − | 0.0283013i | ||||
\(725\) | 302.045 | + | 452.042i | 0.416613 | + | 0.623506i | ||||
\(726\) | 25.1694 | + | 126.535i | 0.0346686 | + | 0.174291i | ||||
\(727\) | −118.460 | + | 118.460i | −0.162944 | + | 0.162944i | −0.783869 | − | 0.620926i | \(-0.786757\pi\) |
0.620926 | + | 0.783869i | \(0.286757\pi\) | |||||||
\(728\) | 422.108 | − | 631.730i | 0.579819 | − | 0.867761i | ||||
\(729\) | 581.598 | + | 240.906i | 0.797802 | + | 0.330461i | ||||
\(730\) | − | 294.737i | − | 0.403749i | ||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −8.80038 | −0.0120224 | ||||||||
\(733\) | −130.035 | + | 313.931i | −0.177400 | + | 0.428283i | −0.987420 | − | 0.158121i | \(-0.949457\pi\) |
0.810019 | + | 0.586403i | \(0.199457\pi\) | |||||||
\(734\) | −380.793 | − | 254.438i | −0.518792 | − | 0.346646i | ||||
\(735\) | −10.1730 | − | 10.1730i | −0.0138408 | − | 0.0138408i | ||||
\(736\) | −238.435 | + | 47.4277i | −0.323961 | + | 0.0644398i | ||||
\(737\) | −1202.81 | + | 803.695i | −1.63204 | + | 1.09050i | ||||
\(738\) | −1017.18 | − | 202.330i | −1.37830 | − | 0.274160i | ||||
\(739\) | 990.632 | − | 410.333i | 1.34050 | − | 0.555255i | 0.406870 | − | 0.913486i | \(-0.366620\pi\) |
0.933633 | + | 0.358231i | \(0.116620\pi\) | |||||||
\(740\) | −12.1125 | − | 29.2422i | −0.0163683 | − | 0.0395165i | ||||
\(741\) | −30.0737 | + | 151.191i | −0.0405852 | + | 0.204036i | ||||
\(742\) | 50.4695 | + | 75.5330i | 0.0680182 | + | 0.101797i | ||||
\(743\) | 52.0950 | + | 261.899i | 0.0701144 | + | 0.352489i | 0.999877 | − | 0.0156702i | \(-0.00498817\pi\) |
−0.929763 | + | 0.368159i | \(0.879988\pi\) | |||||||
\(744\) | −135.782 | + | 135.782i | −0.182503 | + | 0.182503i | ||||
\(745\) | −81.1582 | + | 121.462i | −0.108937 | + | 0.163036i | ||||
\(746\) | 469.181 | + | 194.341i | 0.628929 | + | 0.260511i | ||||
\(747\) | − | 606.136i | − | 0.811427i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 589.192 | 0.786638 | ||||||||
\(750\) | 19.3183 | − | 46.6384i | 0.0257577 | − | 0.0621846i | ||||
\(751\) | −476.525 | − | 318.404i | −0.634520 | − | 0.423973i | 0.196277 | − | 0.980549i | \(-0.437115\pi\) |
−0.830797 | + | 0.556576i | \(0.812115\pi\) | |||||||
\(752\) | −84.1508 | − | 84.1508i | −0.111903 | − | 0.111903i | ||||
\(753\) | −18.2157 | + | 3.62332i | −0.0241908 | + | 0.00481184i | ||||
\(754\) | −622.062 | + | 415.648i | −0.825016 | + | 0.551258i | ||||
\(755\) | 90.4520 | + | 17.9920i | 0.119804 | + | 0.0238305i | ||||
\(756\) | −29.2940 | + | 12.1340i | −0.0387486 | + | 0.0160502i | ||||
\(757\) | 272.325 | + | 657.452i | 0.359743 | + | 0.868496i | 0.995336 | + | 0.0964717i | \(0.0307557\pi\) |
−0.635593 | + | 0.772024i | \(0.719244\pi\) | |||||||
\(758\) | 187.664 | − | 943.452i | 0.247578 | − | 1.24466i | ||||
\(759\) | −82.6585 | − | 123.707i | −0.108905 | − | 0.162987i | ||||
\(760\) | 40.1225 | + | 201.710i | 0.0527928 | + | 0.265407i | ||||
\(761\) | −907.095 | + | 907.095i | −1.19198 | + | 1.19198i | −0.215466 | + | 0.976511i | \(0.569127\pi\) |
−0.976511 | + | 0.215466i | \(0.930873\pi\) | |||||||
\(762\) | 15.2725 | − | 22.8569i | 0.0200426 | − | 0.0299959i | ||||
\(763\) | 598.807 | + | 248.034i | 0.784805 | + | 0.325077i | ||||
\(764\) | − | 265.700i | − | 0.347775i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1061.85 | −1.38623 | ||||||||
\(767\) | −404.291 | + | 976.046i | −0.527107 | + | 1.27255i | ||||
\(768\) | −55.3033 | − | 36.9525i | −0.0720095 | − | 0.0481152i | ||||
\(769\) | −386.701 | − | 386.701i | −0.502863 | − | 0.502863i | 0.409464 | − | 0.912326i | \(-0.365716\pi\) |
−0.912326 | + | 0.409464i | \(0.865716\pi\) | |||||||
\(770\) | 184.372 | − | 36.6739i | 0.239445 | − | 0.0476285i | ||||
\(771\) | −11.7990 | + | 7.88386i | −0.0153035 | + | 0.0102255i | ||||
\(772\) | 156.533 | + | 31.1364i | 0.202763 | + | 0.0403321i | ||||
\(773\) | −954.589 | + | 395.404i | −1.23491 | + | 0.511518i | −0.902122 | − | 0.431482i | \(-0.857991\pi\) |
−0.332793 | + | 0.943000i | \(0.607991\pi\) | |||||||
\(774\) | 115.967 | + | 279.969i | 0.149828 | + | 0.361717i | ||||
\(775\) | 223.323 | − | 1122.72i | 0.288159 | − | 1.44867i | ||||
\(776\) | −481.114 | − | 720.038i | −0.619992 | − | 0.927884i | ||||
\(777\) | −13.7828 | − | 69.2909i | −0.0177385 | − | 0.0891775i | ||||
\(778\) | 736.437 | − | 736.437i | 0.946577 | − | 0.946577i | ||||
\(779\) | 687.547 | − | 1028.99i | 0.882602 | − | 1.32091i | ||||
\(780\) | −7.64755 | − | 3.16772i | −0.00980455 | − | 0.00406118i | ||||
\(781\) | 624.014i | 0.798994i | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 189.053 | 0.241447 | ||||||||
\(784\) | −115.377 | + | 278.545i | −0.147165 | + | 0.355287i | ||||
\(785\) | 147.923 | + | 98.8390i | 0.188437 | + | 0.125910i | ||||
\(786\) | −53.4835 | − | 53.4835i | −0.0680452 | − | 0.0680452i | ||||
\(787\) | 774.507 | − | 154.059i | 0.984126 | − | 0.195755i | 0.323302 | − | 0.946296i | \(-0.395207\pi\) |
0.660824 | + | 0.750541i | \(0.270207\pi\) | |||||||
\(788\) | −73.8447 | + | 49.3414i | −0.0937115 | + | 0.0626160i | ||||
\(789\) | −120.874 | − | 24.0433i | −0.153199 | − | 0.0304731i | ||||
\(790\) | 92.0695 | − | 38.1364i | 0.116544 | − | 0.0482740i | ||||
\(791\) | −162.345 | − | 391.936i | −0.205240 | − | 0.495494i | ||||
\(792\) | −245.718 | + | 1235.31i | −0.310250 | + | 1.55973i | ||||
\(793\) | 242.858 | + | 363.463i | 0.306252 | + | 0.458339i | ||||
\(794\) | 99.8922 | + | 502.192i | 0.125809 | + | 0.632483i | ||||
\(795\) | 4.23755 | − | 4.23755i | 0.00533026 | − | 0.00533026i | ||||
\(796\) | −9.76601 | + | 14.6159i | −0.0122689 | + | 0.0183616i | ||||
\(797\) | 486.546 | + | 201.534i | 0.610471 | + | 0.252866i | 0.666430 | − | 0.745568i | \(-0.267821\pi\) |
−0.0559586 | + | 0.998433i | \(0.517821\pi\) | |||||||
\(798\) | 75.8129i | 0.0950036i | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 291.261 | 0.364077 | ||||||||
\(801\) | 177.690 | − | 428.982i | 0.221835 | − | 0.535558i | ||||
\(802\) | −709.476 | − | 474.057i | −0.884633 | − | 0.591093i | ||||
\(803\) | 1523.02 | + | 1523.02i | 1.89666 | + | 1.89666i | ||||
\(804\) | 30.7259 | − | 6.11175i | 0.0382162 | − | 0.00760168i | ||||
\(805\) | −101.980 | + | 68.1410i | −0.126684 | + | 0.0846472i | ||||
\(806\) | 1544.99 | + | 307.318i | 1.91687 | + | 0.381288i | ||||
\(807\) | −52.7819 | + | 21.8630i | −0.0654050 | + | 0.0270917i | ||||
\(808\) | −185.554 | − | 447.967i | −0.229646 | − | 0.554415i | ||||
\(809\) | 34.3891 | − | 172.886i | 0.0425082 | − | 0.213703i | −0.953693 | − | 0.300781i | \(-0.902753\pi\) |
0.996202 | + | 0.0870775i | \(0.0277528\pi\) | |||||||
\(810\) | 95.6978 | + | 143.222i | 0.118145 | + | 0.176817i | ||||
\(811\) | −48.0600 | − | 241.614i | −0.0592602 | − | 0.297921i | 0.939777 | − | 0.341788i | \(-0.111032\pi\) |
−0.999037 | + | 0.0438666i | \(0.986032\pi\) | |||||||
\(812\) | 64.1606 | − | 64.1606i | 0.0790155 | − | 0.0790155i | ||||
\(813\) | 28.5905 | − | 42.7887i | 0.0351667 | − | 0.0526307i | ||||
\(814\) | −866.549 | − | 358.936i | −1.06456 | − | 0.440954i | ||||
\(815\) | 279.007i | 0.342340i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −361.604 | −0.442600 | ||||||||
\(818\) | 229.069 | − | 553.021i | 0.280035 | − | 0.676065i | ||||
\(819\) | 647.092 | + | 432.373i | 0.790101 | + | 0.527928i | ||||
\(820\) | 46.9899 | + | 46.9899i | 0.0573048 | + | 0.0573048i | ||||
\(821\) | 593.541 | − | 118.063i | 0.722949 | − | 0.143803i | 0.180117 | − | 0.983645i | \(-0.442352\pi\) |
0.542831 | + | 0.839842i | \(0.317352\pi\) | |||||||
\(822\) | −17.6444 | + | 11.7896i | −0.0214652 | + | 0.0143426i | ||||
\(823\) | 987.415 | + | 196.409i | 1.19977 | + | 0.238650i | 0.754230 | − | 0.656610i | \(-0.228010\pi\) |
0.445544 | + | 0.895260i | \(0.353010\pi\) | |||||||
\(824\) | −472.446 | + | 195.694i | −0.573357 | + | 0.237492i | ||||
\(825\) | 68.2142 | + | 164.684i | 0.0826839 | + | 0.199617i | ||||
\(826\) | −101.364 | + | 509.590i | −0.122716 | + | 0.616937i | ||||
\(827\) | 427.074 | + | 639.162i | 0.516414 | + | 0.772868i | 0.994421 | − | 0.105488i | \(-0.0336406\pi\) |
−0.478007 | + | 0.878356i | \(0.658641\pi\) | |||||||
\(828\) | −26.4769 | − | 133.108i | −0.0319769 | − | 0.160759i | ||||
\(829\) | −215.032 | + | 215.032i | −0.259388 | + | 0.259388i | −0.824805 | − | 0.565417i | \(-0.808715\pi\) |
0.565417 | + | 0.824805i | \(0.308715\pi\) | |||||||
\(830\) | 87.4985 | − | 130.951i | 0.105420 | − | 0.157772i | ||||
\(831\) | 63.9472 | + | 26.4878i | 0.0769521 | + | 0.0318746i | ||||
\(832\) | 1277.71i | 1.53571i | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −61.7913 | −0.0740903 | ||||||||
\(835\) | 110.177 | − | 265.992i | 0.131949 | − | 0.318553i | ||||
\(836\) | −206.380 | − | 137.899i | −0.246866 | − | 0.164951i | ||||
\(837\) | −281.471 | − | 281.471i | −0.336285 | − | 0.336285i | ||||
\(838\) | −521.551 | + | 103.743i | −0.622376 | + | 0.123798i | ||||
\(839\) | 1339.12 | − | 894.772i | 1.59609 | − | 1.06647i | 0.642109 | − | 0.766614i | \(-0.278060\pi\) |
0.953983 | − | 0.299861i | \(-0.0969402\pi\) | |||||||
\(840\) | −24.1764 | − | 4.80898i | −0.0287814 | − | 0.00572497i | ||||
\(841\) | 277.157 | − | 114.802i | 0.329557 | − | 0.136507i | ||||
\(842\) | −354.894 | − | 856.790i | −0.421489 | − | 1.01757i | ||||
\(843\) | 31.0238 | − | 155.967i | 0.0368017 | − | 0.185015i | ||||
\(844\) | 64.5213 | + | 96.5630i | 0.0764471 | + | 0.114411i | ||||
\(845\) | 38.1711 | + | 191.899i | 0.0451729 | + | 0.227100i | ||||
\(846\) | 108.544 | − | 108.544i | 0.128303 | − | 0.128303i | ||||
\(847\) | −431.802 | + | 646.237i | −0.509801 | + | 0.762971i | ||||
\(848\) | −116.028 | − | 48.0604i | −0.136826 | − | 0.0566750i | ||||
\(849\) | − | 126.280i | − | 0.148739i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 611.964 | 0.719111 | ||||||||
\(852\) | 5.17145 | − | 12.4850i | 0.00606977 | − | 0.0146537i | ||||
\(853\) | −301.104 | − | 201.191i | −0.352994 | − | 0.235863i | 0.366412 | − | 0.930453i | \(-0.380586\pi\) |
−0.719406 | + | 0.694590i | \(0.755586\pi\) | |||||||
\(854\) | 152.016 | + | 152.016i | 0.178005 | + | 0.178005i | ||||
\(855\) | −206.615 | + | 41.0982i | −0.241655 | + | 0.0480681i | ||||
\(856\) | −852.852 | + | 569.858i | −0.996323 | + | 0.665721i | ||||
\(857\) | −85.4207 | − | 16.9912i | −0.0996741 | − | 0.0198264i | 0.145001 | − | 0.989431i | \(-0.453681\pi\) |
−0.244675 | + | 0.969605i | \(0.578681\pi\) | |||||||
\(858\) | −226.624 | + | 93.8707i | −0.264130 | + | 0.109406i | ||||
\(859\) | 230.946 | + | 557.554i | 0.268855 | + | 0.649073i | 0.999430 | − | 0.0337594i | \(-0.0107480\pi\) |
−0.730575 | + | 0.682832i | \(0.760748\pi\) | |||||||
\(860\) | 3.78814 | − | 19.0442i | 0.00440481 | − | 0.0221445i | ||||
\(861\) | 82.4075 | + | 123.332i | 0.0957114 | + | 0.143242i | ||||
\(862\) | −161.658 | − | 812.709i | −0.187538 | − | 0.942818i | ||||
\(863\) | −262.550 | + | 262.550i | −0.304229 | + | 0.304229i | −0.842666 | − | 0.538437i | \(-0.819015\pi\) |
0.538437 | + | 0.842666i | \(0.319015\pi\) | |||||||
\(864\) | 56.2694 | − | 84.2132i | 0.0651267 | − | 0.0974689i | ||||
\(865\) | −399.627 | − | 165.531i | −0.461997 | − | 0.191365i | ||||
\(866\) | − | 999.909i | − | 1.15463i | ||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −191.051 | −0.220105 | ||||||||
\(869\) | −278.694 | + | 672.826i | −0.320706 | + | 0.774253i | ||||
\(870\) | 20.1821 | + | 13.4852i | 0.0231978 | + | 0.0155003i | ||||
\(871\) | −1100.34 | − | 1100.34i | −1.26331 | − | 1.26331i | ||||
\(872\) | −1106.66 | + | 220.129i | −1.26911 | + | 0.252442i | ||||
\(873\) | 737.548 | − | 492.814i | 0.844843 | − | 0.564506i | ||||
\(874\) | −644.080 | − | 128.116i | −0.736934 | − | 0.146585i | ||||
\(875\) | 280.965 | − | 116.379i | 0.321103 | − | 0.133005i | ||||
\(876\) | −17.8500 | − | 43.0937i | −0.0203767 | − | 0.0491938i | ||||
\(877\) | 94.1757 | − | 473.453i | 0.107384 | − | 0.539856i | −0.889218 | − | 0.457484i | \(-0.848751\pi\) |
0.996602 | − | 0.0823714i | \(-0.0262494\pi\) | |||||||
\(878\) | −22.1945 | − | 33.2165i | −0.0252785 | − | 0.0378320i | ||||
\(879\) | −26.0112 | − | 130.767i | −0.0295918 | − | 0.148768i | ||||
\(880\) | −183.766 | + | 183.766i | −0.208824 | + | 0.208824i | ||||
\(881\) | −56.0750 | + | 83.9222i | −0.0636493 | + | 0.0952579i | −0.861929 | − | 0.507029i | \(-0.830744\pi\) |
0.798280 | + | 0.602287i | \(0.205744\pi\) | |||||||
\(882\) | −359.289 | − | 148.822i | −0.407357 | − | 0.168733i | ||||
\(883\) | − | 452.824i | − | 0.512824i | −0.966568 | − | 0.256412i | \(-0.917460\pi\) | ||
0.966568 | − | 0.256412i | \(-0.0825404\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 34.2758 | 0.0387297 | ||||||||
\(886\) | −223.655 | + | 539.950i | −0.252432 | + | 0.609424i | ||||
\(887\) | 697.260 | + | 465.894i | 0.786088 | + | 0.525247i | 0.882623 | − | 0.470082i | \(-0.155776\pi\) |
−0.0965343 | + | 0.995330i | \(0.530776\pi\) | |||||||
\(888\) | 86.9677 | + | 86.9677i | 0.0979366 | + | 0.0979366i | ||||
\(889\) | 162.425 | − | 32.3083i | 0.182705 | − | 0.0363423i | ||||
\(890\) | 100.314 | − | 67.0276i | 0.112712 | − | 0.0753119i | ||||
\(891\) | −1234.59 | − | 245.576i | −1.38563 | − | 0.275618i | ||||
\(892\) | −114.043 | + | 47.2382i | −0.127851 | + | 0.0529576i | ||||
\(893\) | 70.0970 | + | 169.229i | 0.0784961 | + | 0.189506i | ||||
\(894\) | 18.2890 | − | 91.9451i | 0.0204575 | − | 0.102847i | ||||
\(895\) | 113.255 | + | 169.498i | 0.126542 | + | 0.189384i | ||||
\(896\) | 74.6517 | + | 375.300i | 0.0833167 | + | 0.418861i | ||||
\(897\) | 113.168 | − | 113.168i | 0.126163 | − | 0.126163i | ||||
\(898\) | −413.015 | + | 618.121i | −0.459928 | + | 0.688331i | ||||
\(899\) | 1052.41 | + | 435.922i | 1.17064 | + | 0.484896i | ||||
\(900\) | 162.599i | 0.180665i | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 1969.26 | 2.18321 | ||||||||
\(903\) | 16.5858 | − | 40.0418i | 0.0183675 | − | 0.0443430i | ||||
\(904\) | 614.068 | + | 410.307i | 0.679279 | + | 0.453880i | ||||
\(905\) | 23.8067 | + | 23.8067i | 0.0263058 | + | 0.0263058i | ||||
\(906\) | −58.0469 | + | 11.5462i | −0.0640694 | + | 0.0127442i | ||||
\(907\) | 645.937 | − | 431.601i | 0.712169 | − | 0.475856i | −0.145960 | − | 0.989290i | \(-0.546627\pi\) |
0.858129 | + | 0.513435i | \(0.171627\pi\) | |||||||
\(908\) | −79.5739 | − | 15.8282i | −0.0876364 | − | 0.0174320i | ||||
\(909\) | 458.861 | − | 190.067i | 0.504798 | − | 0.209094i | ||||
\(910\) | 77.3840 | + | 186.821i | 0.0850373 | + | 0.205298i | ||||
\(911\) | −170.495 | + | 857.136i | −0.187152 | + | 0.940874i | 0.767022 | + | 0.641621i | \(0.221738\pi\) |
−0.954174 | + | 0.299254i | \(0.903262\pi\) | |||||||
\(912\) | −58.2290 | − | 87.1458i | −0.0638476 | − | 0.0955546i | ||||
\(913\) | 224.535 | + | 1128.81i | 0.245931 | + | 1.23638i | ||||
\(914\) | −431.931 | + | 431.931i | −0.472572 | + | 0.472572i | ||||
\(915\) | 7.87924 | − | 11.7921i | 0.00861119 | − | 0.0128876i | ||||
\(916\) | −320.289 | − | 132.668i | −0.349661 | − | 0.144834i | ||||
\(917\) | − | 455.662i | − | 0.496905i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −346.769 | −0.377333 | −0.188667 | − | 0.982041i | \(-0.560417\pi\) | ||||
−0.188667 | + | 0.982041i | \(0.560417\pi\) | |||||||
\(920\) | 81.7109 | − | 197.268i | 0.0888162 | − | 0.214421i | ||||
\(921\) | −28.7637 | − | 19.2193i | −0.0312309 | − | 0.0208678i | ||||
\(922\) | −710.610 | − | 710.610i | −0.770727 | − | 0.770727i | ||||
\(923\) | −658.352 | + | 130.954i | −0.713274 | + | 0.141879i | ||||
\(924\) | 24.7362 | − | 16.5282i | 0.0267708 | − | 0.0178876i | ||||
\(925\) | −719.094 | − | 143.037i | −0.777399 | − | 0.154634i | ||||
\(926\) | −364.398 | + | 150.938i | −0.393518 | + | 0.163001i | ||||
\(927\) | −200.452 | − | 483.935i | −0.216238 | − | 0.522044i | ||||
\(928\) | −56.5444 | + | 284.268i | −0.0609315 | + | 0.306323i | ||||
\(929\) | 326.090 | + | 488.028i | 0.351012 | + | 0.525326i | 0.964397 | − | 0.264457i | \(-0.0851928\pi\) |
−0.613386 | + | 0.789784i | \(0.710193\pi\) | |||||||
\(930\) | −9.97058 | − | 50.1255i | −0.0107211 | − | 0.0538984i | ||||
\(931\) | 328.134 | − | 328.134i | 0.352454 | − | 0.352454i | ||||
\(932\) | −21.7219 | + | 32.5091i | −0.0233068 | + | 0.0348811i | ||||
\(933\) | −137.537 | − | 56.9698i | −0.147414 | − | 0.0610609i | ||||
\(934\) | − | 982.084i | − | 1.05148i | ||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −1354.85 | −1.44749 | ||||||||
\(937\) | −138.378 | + | 334.074i | −0.147682 | + | 0.356536i | −0.980358 | − | 0.197224i | \(-0.936807\pi\) |
0.832677 | + | 0.553760i | \(0.186807\pi\) | |||||||
\(938\) | −636.327 | − | 425.180i | −0.678387 | − | 0.453284i | ||||
\(939\) | 36.2435 | + | 36.2435i | 0.0385980 | + | 0.0385980i | ||||
\(940\) | −9.64696 | + | 1.91890i | −0.0102627 | + | 0.00204138i | ||||
\(941\) | −1466.86 | + | 980.125i | −1.55883 | + | 1.04158i | −0.585929 | + | 0.810363i | \(0.699270\pi\) |
−0.972903 | + | 0.231215i | \(0.925730\pi\) | |||||||
\(942\) | −111.976 | − | 22.2734i | −0.118870 | − | 0.0236448i | ||||
\(943\) | −1187.04 | + | 491.689i | −1.25879 | + | 0.521409i | ||||
\(944\) | −274.881 | − | 663.621i | −0.291187 | − | 0.702988i | ||||
\(945\) | 9.96879 | − | 50.1165i | 0.0105490 | − | 0.0530333i | ||||
\(946\) | −319.677 | − | 478.431i | −0.337925 | − | 0.505741i | ||||
\(947\) | −282.090 | − | 1418.16i | −0.297878 | − | 1.49753i | −0.782413 | − | 0.622760i | \(-0.786011\pi\) |
0.484535 | − | 0.874772i | \(-0.338989\pi\) | |||||||
\(948\) | 11.1519 | − | 11.1519i | 0.0117636 | − | 0.0117636i | ||||
\(949\) | −1287.21 | + | 1926.45i | −1.35639 | + | 2.02998i | ||||
\(950\) | 726.888 | + | 301.087i | 0.765146 | + | 0.316934i | ||||
\(951\) | 149.328i | 0.157023i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −501.036 | −0.525746 | −0.262873 | − | 0.964830i | \(-0.584670\pi\) | ||||
−0.262873 | + | 0.964830i | \(0.584670\pi\) | |||||||
\(954\) | 61.9920 | − | 149.662i | 0.0649811 | − | 0.156878i | ||||
\(955\) | 356.027 | + | 237.889i | 0.372803 | + | 0.249099i | ||||
\(956\) | −44.0075 | − | 44.0075i | −0.0460329 | − | 0.0460329i | ||||
\(957\) | −173.972 | + | 34.6052i | −0.181789 | + | 0.0361601i | ||||
\(958\) | 1034.31 | − | 691.107i | 1.07966 | − | 0.721406i | ||||
\(959\) | −125.384 | − | 24.9404i | −0.130744 | − | 0.0260067i | ||||
\(960\) | 38.2983 | − | 15.8637i | 0.0398941 | − | 0.0165247i | ||||
\(961\) | −550.096 | − | 1328.05i | −0.572420 | − | 1.38194i | ||||
\(962\) | 196.835 | − | 989.558i | 0.204610 | − | 1.02865i | ||||
\(963\) | −583.715 | − | 873.592i | −0.606143 | − | 0.907157i | ||||
\(964\) | 11.7494 | + | 59.0683i | 0.0121882 | + | 0.0612742i | ||||
\(965\) | −181.870 | + | 181.870i | −0.188467 | + | 0.188467i | ||||
\(966\) | 43.7290 | − | 65.4451i | 0.0452681 | − | 0.0677485i | ||||
\(967\) | −1412.83 | − | 585.212i | −1.46104 | − | 0.605183i | −0.496245 | − | 0.868183i | \(-0.665288\pi\) |
−0.964796 | + | 0.263000i | \(0.915288\pi\) | |||||||
\(968\) | − | 1353.06i | − | 1.39779i | ||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 230.481 | 0.237609 | ||||||||
\(971\) | 291.523 | − | 703.800i | 0.300230 | − | 0.724820i | −0.699716 | − | 0.714421i | \(-0.746690\pi\) |
0.999946 | − | 0.0103983i | \(-0.00330996\pi\) | |||||||
\(972\) | 70.7947 | + | 47.3035i | 0.0728341 | + | 0.0486662i | ||||
\(973\) | −263.221 | − | 263.221i | −0.270525 | − | 0.270525i | ||||
\(974\) | −939.482 | + | 186.874i | −0.964560 | + | 0.191863i | ||||
\(975\) | −159.430 | + | 106.528i | −0.163518 | + | 0.109259i | ||||
\(976\) | −291.499 | − | 57.9827i | −0.298667 | − | 0.0594085i | ||||
\(977\) | 166.097 | − | 68.7997i | 0.170007 | − | 0.0704193i | −0.296057 | − | 0.955170i | \(-0.595672\pi\) |
0.466064 | + | 0.884751i | \(0.345672\pi\) | |||||||
\(978\) | −68.5198 | − | 165.421i | −0.0700611 | − | 0.169142i | ||||
\(979\) | −172.004 | + | 864.720i | −0.175693 | + | 0.883269i | ||||
\(980\) | 13.8440 | + | 20.7190i | 0.0141266 | + | 0.0211419i | ||||
\(981\) | −225.482 | − | 1133.58i | −0.229849 | − | 1.15553i | ||||
\(982\) | 314.104 | − | 314.104i | 0.319862 | − | 0.319862i | ||||
\(983\) | −842.963 | + | 1261.58i | −0.857541 | + | 1.28340i | 0.0999659 | + | 0.994991i | \(0.468127\pi\) |
−0.957507 | + | 0.288410i | \(0.906873\pi\) | |||||||
\(984\) | −238.569 | − | 98.8184i | −0.242448 | − | 0.100425i | ||||
\(985\) | − | 143.125i | − | 0.145305i | ||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −21.9545 | −0.0222437 | ||||||||
\(988\) | 102.176 | − | 246.676i | 0.103417 | − | 0.249672i | ||||
\(989\) | 312.153 | + | 208.574i | 0.315625 | + | 0.210894i | ||||
\(990\) | −237.035 | − | 237.035i | −0.239429 | − | 0.239429i | ||||
\(991\) | −371.037 | + | 73.8038i | −0.374407 | + | 0.0744741i | −0.378707 | − | 0.925517i | \(-0.623631\pi\) |
0.00430035 | + | 0.999991i | \(0.498631\pi\) | |||||||
\(992\) | 507.418 | − | 339.046i | 0.511510 | − | 0.341780i | ||||
\(993\) | −197.790 | − | 39.3429i | −0.199184 | − | 0.0396202i | ||||
\(994\) | −304.994 | + | 126.333i | −0.306835 | + | 0.127095i | ||||
\(995\) | −10.8408 | − | 26.1720i | −0.0108953 | − | 0.0263036i | ||||
\(996\) | 4.86252 | − | 24.4456i | 0.00488205 | − | 0.0245437i | ||||
\(997\) | 323.998 | + | 484.897i | 0.324973 | + | 0.486356i | 0.957600 | − | 0.288100i | \(-0.0930236\pi\) |
−0.632628 | + | 0.774456i | \(0.718024\pi\) | |||||||
\(998\) | −64.5534 | − | 324.532i | −0.0646827 | − | 0.325182i | ||||
\(999\) | −180.280 | + | 180.280i | −0.180461 | + | 0.180461i |
(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 | 289.3.e.p.214.1 | yes | 32 | |
17.2 | even | 8 | inner | 289.3.e.p.40.1 | ✓ | 32 | |
17.3 | odd | 16 | inner | 289.3.e.p.158.3 | yes | 32 | |
17.4 | even | 4 | inner | 289.3.e.p.75.3 | yes | 32 | |
17.5 | odd | 16 | inner | 289.3.e.p.131.2 | yes | 32 | |
17.6 | odd | 16 | inner | 289.3.e.p.224.1 | yes | 32 | |
17.7 | odd | 16 | inner | 289.3.e.p.65.3 | yes | 32 | |
17.8 | even | 8 | inner | 289.3.e.p.249.4 | yes | 32 | |
17.9 | even | 8 | inner | 289.3.e.p.249.3 | yes | 32 | |
17.10 | odd | 16 | inner | 289.3.e.p.65.4 | yes | 32 | |
17.11 | odd | 16 | inner | 289.3.e.p.224.2 | yes | 32 | |
17.12 | odd | 16 | inner | 289.3.e.p.131.1 | yes | 32 | |
17.13 | even | 4 | inner | 289.3.e.p.75.4 | yes | 32 | |
17.14 | odd | 16 | inner | 289.3.e.p.158.4 | yes | 32 | |
17.15 | even | 8 | inner | 289.3.e.p.40.2 | yes | 32 | |
17.16 | even | 2 | inner | 289.3.e.p.214.2 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
289.3.e.p.40.1 | ✓ | 32 | 17.2 | even | 8 | inner | |
289.3.e.p.40.2 | yes | 32 | 17.15 | even | 8 | inner | |
289.3.e.p.65.3 | yes | 32 | 17.7 | odd | 16 | inner | |
289.3.e.p.65.4 | yes | 32 | 17.10 | odd | 16 | inner | |
289.3.e.p.75.3 | yes | 32 | 17.4 | even | 4 | inner | |
289.3.e.p.75.4 | yes | 32 | 17.13 | even | 4 | inner | |
289.3.e.p.131.1 | yes | 32 | 17.12 | odd | 16 | inner | |
289.3.e.p.131.2 | yes | 32 | 17.5 | odd | 16 | inner | |
289.3.e.p.158.3 | yes | 32 | 17.3 | odd | 16 | inner | |
289.3.e.p.158.4 | yes | 32 | 17.14 | odd | 16 | inner | |
289.3.e.p.214.1 | yes | 32 | 1.1 | even | 1 | trivial | |
289.3.e.p.214.2 | yes | 32 | 17.16 | even | 2 | inner | |
289.3.e.p.224.1 | yes | 32 | 17.6 | odd | 16 | inner | |
289.3.e.p.224.2 | yes | 32 | 17.11 | odd | 16 | inner | |
289.3.e.p.249.3 | yes | 32 | 17.9 | even | 8 | inner | |
289.3.e.p.249.4 | yes | 32 | 17.8 | even | 8 | inner |