Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [980,2,Mod(391,980)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(980, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("980.391");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 980 = 2^{2} \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 980.g (of order \(2\), degree \(1\), 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: | \(7.82533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 391.17 | ||
Character | \(\chi\) | \(=\) | 980.391 |
Dual form | 980.2.g.a.391.19 |
$q$-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 \(\left(\mathbb{Z}/980\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) | \(491\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0982654 | − | 1.41080i | 0.0694842 | − | 0.997583i | ||||
\(3\) | −0.662355 | −0.382411 | −0.191205 | − | 0.981550i | \(-0.561240\pi\) | ||||
−0.191205 | + | 0.981550i | \(0.561240\pi\) | |||||||
\(4\) | −1.98069 | − | 0.277265i | −0.990344 | − | 0.138632i | ||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | −0.0650866 | + | 0.934447i | −0.0265715 | + | 0.381486i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −0.585797 | + | 2.76710i | −0.207111 | + | 0.978318i | ||||
\(9\) | −2.56129 | −0.853762 | ||||||||
\(10\) | 1.41080 | + | 0.0982654i | 0.446133 | + | 0.0310743i | ||||
\(11\) | 3.61296i | 1.08935i | 0.838648 | + | 0.544674i | \(0.183347\pi\) | ||||
−0.838648 | + | 0.544674i | \(0.816653\pi\) | |||||||
\(12\) | 1.31192 | + | 0.183648i | 0.378718 | + | 0.0530145i | ||||
\(13\) | − | 5.83027i | − | 1.61703i | −0.588478 | − | 0.808513i | \(-0.700273\pi\) | ||
0.588478 | − | 0.808513i | \(-0.299727\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | − | 0.662355i | − | 0.171019i | ||||||
\(16\) | 3.84625 | + | 1.09835i | 0.961562 | + | 0.274588i | ||||
\(17\) | − | 1.36813i | − | 0.331819i | −0.986141 | − | 0.165910i | \(-0.946944\pi\) | ||
0.986141 | − | 0.165910i | \(-0.0530560\pi\) | |||||||
\(18\) | −0.251686 | + | 3.61345i | −0.0593229 | + | 0.851699i | ||||
\(19\) | 4.09577 | 0.939634 | 0.469817 | − | 0.882764i | \(-0.344320\pi\) | ||||
0.469817 | + | 0.882764i | \(0.344320\pi\) | |||||||
\(20\) | 0.277265 | − | 1.98069i | 0.0619983 | − | 0.442895i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.09715 | + | 0.355029i | 1.08672 | + | 0.0756925i | ||||
\(23\) | 3.24519i | 0.676669i | 0.941026 | + | 0.338334i | \(0.109864\pi\) | ||||
−0.941026 | + | 0.338334i | \(0.890136\pi\) | |||||||
\(24\) | 0.388005 | − | 1.83280i | 0.0792013 | − | 0.374119i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | −8.22532 | − | 0.572914i | −1.61312 | − | 0.112358i | ||||
\(27\) | 3.68354 | 0.708898 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.19327 | 0.964365 | 0.482183 | − | 0.876071i | \(-0.339844\pi\) | ||||
0.482183 | + | 0.876071i | \(0.339844\pi\) | |||||||
\(30\) | −0.934447 | − | 0.0650866i | −0.170606 | − | 0.0118831i | ||||
\(31\) | 8.86809 | 1.59276 | 0.796378 | − | 0.604799i | \(-0.206746\pi\) | ||||
0.796378 | + | 0.604799i | \(0.206746\pi\) | |||||||
\(32\) | 1.92750 | − | 5.31834i | 0.340737 | − | 0.940159i | ||||
\(33\) | − | 2.39306i | − | 0.416579i | ||||||
\(34\) | −1.93014 | − | 0.134439i | −0.331017 | − | 0.0230562i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 5.07311 | + | 0.710155i | 0.845518 | + | 0.118359i | ||||
\(37\) | 10.7958 | 1.77482 | 0.887408 | − | 0.460985i | \(-0.152504\pi\) | ||||
0.887408 | + | 0.460985i | \(0.152504\pi\) | |||||||
\(38\) | 0.402472 | − | 5.77829i | 0.0652897 | − | 0.937363i | ||||
\(39\) | 3.86171i | 0.618368i | ||||||||
\(40\) | −2.76710 | − | 0.585797i | −0.437517 | − | 0.0926227i | ||||
\(41\) | 0.832730i | 0.130051i | 0.997884 | + | 0.0650253i | \(0.0207128\pi\) | ||||
−0.997884 | + | 0.0650253i | \(0.979287\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 3.10642i | − | 0.473725i | −0.971543 | − | 0.236862i | \(-0.923881\pi\) | ||
0.971543 | − | 0.236862i | \(-0.0761190\pi\) | |||||||
\(44\) | 1.00175 | − | 7.15615i | 0.151019 | − | 1.07883i | ||||
\(45\) | − | 2.56129i | − | 0.381814i | ||||||
\(46\) | 4.57830 | + | 0.318890i | 0.675033 | + | 0.0470178i | ||||
\(47\) | 6.89601 | 1.00589 | 0.502943 | − | 0.864319i | \(-0.332250\pi\) | ||||
0.502943 | + | 0.864319i | \(0.332250\pi\) | |||||||
\(48\) | −2.54758 | − | 0.727497i | −0.367712 | − | 0.105005i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −0.0982654 | + | 1.41080i | −0.0138968 | + | 0.199517i | ||||
\(51\) | 0.906184i | 0.126891i | ||||||||
\(52\) | −1.61653 | + | 11.5479i | −0.224172 | + | 1.60141i | ||||
\(53\) | −7.41752 | −1.01887 | −0.509437 | − | 0.860508i | \(-0.670146\pi\) | ||||
−0.509437 | + | 0.860508i | \(0.670146\pi\) | |||||||
\(54\) | 0.361965 | − | 5.19673i | 0.0492572 | − | 0.707185i | ||||
\(55\) | −3.61296 | −0.487172 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.71285 | −0.359326 | ||||||||
\(58\) | 0.510319 | − | 7.32664i | 0.0670081 | − | 0.962034i | ||||
\(59\) | −7.47856 | −0.973626 | −0.486813 | − | 0.873506i | \(-0.661841\pi\) | ||||
−0.486813 | + | 0.873506i | \(0.661841\pi\) | |||||||
\(60\) | −0.183648 | + | 1.31192i | −0.0237088 | + | 0.169368i | ||||
\(61\) | − | 1.48554i | − | 0.190204i | −0.995468 | − | 0.0951022i | \(-0.969682\pi\) | ||
0.995468 | − | 0.0951022i | \(-0.0303178\pi\) | |||||||
\(62\) | 0.871427 | − | 12.5111i | 0.110671 | − | 1.58891i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.31368 | − | 3.24192i | −0.914210 | − | 0.405240i | ||||
\(65\) | 5.83027 | 0.723156 | ||||||||
\(66\) | −3.37612 | − | 0.235155i | −0.415572 | − | 0.0289456i | ||||
\(67\) | 2.53761i | 0.310018i | 0.987913 | + | 0.155009i | \(0.0495407\pi\) | ||||
−0.987913 | + | 0.155009i | \(0.950459\pi\) | |||||||
\(68\) | −0.379333 | + | 2.70983i | −0.0460009 | + | 0.328615i | ||||
\(69\) | − | 2.14947i | − | 0.258765i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.52502i | 0.418342i | 0.977879 | + | 0.209171i | \(0.0670766\pi\) | ||||
−0.977879 | + | 0.209171i | \(0.932923\pi\) | |||||||
\(72\) | 1.50039 | − | 7.08734i | 0.176823 | − | 0.835250i | ||||
\(73\) | − | 5.16984i | − | 0.605084i | −0.953136 | − | 0.302542i | \(-0.902165\pi\) | ||
0.953136 | − | 0.302542i | \(-0.0978353\pi\) | |||||||
\(74\) | 1.06085 | − | 15.2306i | 0.123322 | − | 1.77053i | ||||
\(75\) | 0.662355 | 0.0764821 | ||||||||
\(76\) | −8.11244 | − | 1.13561i | −0.930561 | − | 0.130264i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 5.44808 | + | 0.379472i | 0.616873 | + | 0.0429668i | ||||
\(79\) | 11.3401i | 1.27586i | 0.770094 | + | 0.637931i | \(0.220209\pi\) | ||||
−0.770094 | + | 0.637931i | \(0.779791\pi\) | |||||||
\(80\) | −1.09835 | + | 3.84625i | −0.122799 | + | 0.430024i | ||||
\(81\) | 5.24405 | 0.582672 | ||||||||
\(82\) | 1.17481 | + | 0.0818286i | 0.129736 | + | 0.00903646i | ||||
\(83\) | 6.49145 | 0.712529 | 0.356264 | − | 0.934385i | \(-0.384050\pi\) | ||||
0.356264 | + | 0.934385i | \(0.384050\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.36813 | 0.148394 | ||||||||
\(86\) | −4.38252 | − | 0.305254i | −0.472580 | − | 0.0329164i | ||||
\(87\) | −3.43978 | −0.368783 | ||||||||
\(88\) | −9.99743 | − | 2.11646i | −1.06573 | − | 0.225616i | ||||
\(89\) | − | 9.39121i | − | 0.995466i | −0.867330 | − | 0.497733i | \(-0.834166\pi\) | ||
0.867330 | − | 0.497733i | \(-0.165834\pi\) | |||||||
\(90\) | −3.61345 | − | 0.251686i | −0.380891 | − | 0.0265300i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.899777 | − | 6.42771i | 0.0938083 | − | 0.670135i | ||||
\(93\) | −5.87382 | −0.609087 | ||||||||
\(94\) | 0.677640 | − | 9.72886i | 0.0698932 | − | 1.00346i | ||||
\(95\) | 4.09577i | 0.420217i | ||||||||
\(96\) | −1.27669 | + | 3.52263i | −0.130302 | + | 0.359527i | ||||
\(97\) | 0.343189i | 0.0348455i | 0.999848 | + | 0.0174228i | \(0.00554612\pi\) | ||||
−0.999848 | + | 0.0174228i | \(0.994454\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 9.25383i | − | 0.930045i | ||||||
\(100\) | 1.98069 | + | 0.277265i | 0.198069 | + | 0.0277265i | ||||
\(101\) | 4.53635i | 0.451384i | 0.974199 | + | 0.225692i | \(0.0724642\pi\) | ||||
−0.974199 | + | 0.225692i | \(0.927536\pi\) | |||||||
\(102\) | 1.27844 | + | 0.0890466i | 0.126584 | + | 0.00881693i | ||||
\(103\) | 6.13812 | 0.604807 | 0.302404 | − | 0.953180i | \(-0.402211\pi\) | ||||
0.302404 | + | 0.953180i | \(0.402211\pi\) | |||||||
\(104\) | 16.1329 | + | 3.41536i | 1.58196 | + | 0.334903i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.728886 | + | 10.4646i | −0.0707957 | + | 1.01641i | ||||
\(107\) | 7.66797i | 0.741291i | 0.928775 | + | 0.370645i | \(0.120863\pi\) | ||||
−0.928775 | + | 0.370645i | \(0.879137\pi\) | |||||||
\(108\) | −7.29595 | − | 1.02132i | −0.702053 | − | 0.0982763i | ||||
\(109\) | 1.29523 | 0.124061 | 0.0620304 | − | 0.998074i | \(-0.480242\pi\) | ||||
0.0620304 | + | 0.998074i | \(0.480242\pi\) | |||||||
\(110\) | −0.355029 | + | 5.09715i | −0.0338507 | + | 0.485994i | ||||
\(111\) | −7.15064 | −0.678709 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.10591 | 0.668468 | 0.334234 | − | 0.942490i | \(-0.391522\pi\) | ||||
0.334234 | + | 0.942490i | \(0.391522\pi\) | |||||||
\(114\) | −0.266580 | + | 3.82728i | −0.0249675 | + | 0.358457i | ||||
\(115\) | −3.24519 | −0.302616 | ||||||||
\(116\) | −10.2862 | − | 1.43991i | −0.955053 | − | 0.133692i | ||||
\(117\) | 14.9330i | 1.38056i | ||||||||
\(118\) | −0.734884 | + | 10.5507i | −0.0676516 | + | 0.971273i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 1.83280 | + | 0.388005i | 0.167311 | + | 0.0354199i | ||||
\(121\) | −2.05349 | −0.186681 | ||||||||
\(122\) | −2.09580 | − | 0.145978i | −0.189745 | − | 0.0132162i | ||||
\(123\) | − | 0.551563i | − | 0.0497327i | ||||||
\(124\) | −17.5649 | − | 2.45881i | −1.57738 | − | 0.220808i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 17.0178i | − | 1.51008i | −0.655677 | − | 0.755041i | \(-0.727617\pi\) | ||
0.655677 | − | 0.755041i | \(-0.272383\pi\) | |||||||
\(128\) | −5.29237 | + | 9.99954i | −0.467784 | + | 0.883843i | ||||
\(129\) | 2.05755i | 0.181157i | ||||||||
\(130\) | 0.572914 | − | 8.22532i | 0.0502479 | − | 0.721408i | ||||
\(131\) | 1.20613 | 0.105380 | 0.0526901 | − | 0.998611i | \(-0.483220\pi\) | ||||
0.0526901 | + | 0.998611i | \(0.483220\pi\) | |||||||
\(132\) | −0.663512 | + | 4.73991i | −0.0577513 | + | 0.412556i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 3.58005 | + | 0.249359i | 0.309269 | + | 0.0215414i | ||||
\(135\) | 3.68354i | 0.317029i | ||||||||
\(136\) | 3.78574 | + | 0.801444i | 0.324624 | + | 0.0687233i | ||||
\(137\) | 2.14490 | 0.183252 | 0.0916258 | − | 0.995794i | \(-0.470794\pi\) | ||||
0.0916258 | + | 0.995794i | \(0.470794\pi\) | |||||||
\(138\) | −3.03246 | − | 0.211218i | −0.258140 | − | 0.0179801i | ||||
\(139\) | −3.39555 | −0.288007 | −0.144004 | − | 0.989577i | \(-0.545998\pi\) | ||||
−0.144004 | + | 0.989577i | \(0.545998\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −4.56761 | −0.384662 | ||||||||
\(142\) | 4.97308 | + | 0.346387i | 0.417331 | + | 0.0290682i | ||||
\(143\) | 21.0645 | 1.76151 | ||||||||
\(144\) | −9.85134 | − | 2.81319i | −0.820945 | − | 0.234432i | ||||
\(145\) | 5.19327i | 0.431277i | ||||||||
\(146\) | −7.29359 | − | 0.508017i | −0.603622 | − | 0.0420438i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −21.3831 | − | 2.99329i | −1.75768 | − | 0.246047i | ||||
\(149\) | −19.0864 | −1.56362 | −0.781808 | − | 0.623519i | \(-0.785703\pi\) | ||||
−0.781808 | + | 0.623519i | \(0.785703\pi\) | |||||||
\(150\) | 0.0650866 | − | 0.934447i | 0.00531430 | − | 0.0762973i | ||||
\(151\) | − | 9.60595i | − | 0.781721i | −0.920450 | − | 0.390861i | \(-0.872177\pi\) | ||
0.920450 | − | 0.390861i | \(-0.127823\pi\) | |||||||
\(152\) | −2.39929 | + | 11.3334i | −0.194608 | + | 0.919260i | ||||
\(153\) | 3.50416i | 0.283295i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 8.86809i | 0.712302i | ||||||||
\(156\) | 1.07072 | − | 7.64883i | 0.0857258 | − | 0.612397i | ||||
\(157\) | 16.4624i | 1.31384i | 0.753961 | + | 0.656919i | \(0.228141\pi\) | ||||
−0.753961 | + | 0.656919i | \(0.771859\pi\) | |||||||
\(158\) | 15.9986 | + | 1.11434i | 1.27278 | + | 0.0886522i | ||||
\(159\) | 4.91303 | 0.389629 | ||||||||
\(160\) | 5.31834 | + | 1.92750i | 0.420452 | + | 0.152382i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0.515309 | − | 7.39828i | 0.0404865 | − | 0.581264i | ||||
\(163\) | − | 7.15612i | − | 0.560510i | −0.959926 | − | 0.280255i | \(-0.909581\pi\) | ||
0.959926 | − | 0.280255i | \(-0.0904191\pi\) | |||||||
\(164\) | 0.230887 | − | 1.64938i | 0.0180292 | − | 0.128795i | ||||
\(165\) | 2.39306 | 0.186300 | ||||||||
\(166\) | 0.637885 | − | 9.15810i | 0.0495095 | − | 0.710807i | ||||
\(167\) | 13.7127 | 1.06112 | 0.530562 | − | 0.847646i | \(-0.321981\pi\) | ||||
0.530562 | + | 0.847646i | \(0.321981\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −20.9920 | −1.61477 | ||||||||
\(170\) | 0.134439 | − | 1.93014i | 0.0103110 | − | 0.148035i | ||||
\(171\) | −10.4904 | −0.802224 | ||||||||
\(172\) | −0.861301 | + | 6.15285i | −0.0656736 | + | 0.469150i | ||||
\(173\) | − | 3.92439i | − | 0.298366i | −0.988810 | − | 0.149183i | \(-0.952336\pi\) | ||
0.988810 | − | 0.149183i | \(-0.0476643\pi\) | |||||||
\(174\) | −0.338012 | + | 4.85283i | −0.0256246 | + | 0.367892i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −3.96830 | + | 13.8963i | −0.299122 | + | 1.04748i | ||||
\(177\) | 4.95346 | 0.372325 | ||||||||
\(178\) | −13.2491 | − | 0.922831i | −0.993060 | − | 0.0691691i | ||||
\(179\) | 20.5539i | 1.53627i | 0.640289 | + | 0.768134i | \(0.278815\pi\) | ||||
−0.640289 | + | 0.768134i | \(0.721185\pi\) | |||||||
\(180\) | −0.710155 | + | 5.07311i | −0.0529318 | + | 0.378127i | ||||
\(181\) | 13.0603i | 0.970762i | 0.874303 | + | 0.485381i | \(0.161319\pi\) | ||||
−0.874303 | + | 0.485381i | \(0.838681\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.983957i | 0.0727362i | ||||||||
\(184\) | −8.97976 | − | 1.90102i | −0.661997 | − | 0.140145i | ||||
\(185\) | 10.7958i | 0.793722i | ||||||||
\(186\) | −0.577194 | + | 8.28676i | −0.0423219 | + | 0.607615i | ||||
\(187\) | 4.94298 | 0.361467 | ||||||||
\(188\) | −13.6588 | − | 1.91202i | −0.996174 | − | 0.139449i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.77829 | + | 0.402472i | 0.419201 | + | 0.0291984i | ||||
\(191\) | 12.4751i | 0.902667i | 0.892355 | + | 0.451334i | \(0.149052\pi\) | ||||
−0.892355 | + | 0.451334i | \(0.850948\pi\) | |||||||
\(192\) | 4.84425 | + | 2.14730i | 0.349604 | + | 0.154968i | ||||
\(193\) | 19.0645 | 1.37229 | 0.686147 | − | 0.727463i | \(-0.259301\pi\) | ||||
0.686147 | + | 0.727463i | \(0.259301\pi\) | |||||||
\(194\) | 0.484169 | + | 0.0337236i | 0.0347613 | + | 0.00242121i | ||||
\(195\) | −3.86171 | −0.276543 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.93188 | 0.137641 | 0.0688203 | − | 0.997629i | \(-0.478076\pi\) | ||||
0.0688203 | + | 0.997629i | \(0.478076\pi\) | |||||||
\(198\) | −13.0553 | − | 0.909332i | −0.927797 | − | 0.0646234i | ||||
\(199\) | −20.5646 | −1.45778 | −0.728892 | − | 0.684629i | \(-0.759964\pi\) | ||||
−0.728892 | + | 0.684629i | \(0.759964\pi\) | |||||||
\(200\) | 0.585797 | − | 2.76710i | 0.0414221 | − | 0.195664i | ||||
\(201\) | − | 1.68080i | − | 0.118554i | ||||||
\(202\) | 6.39986 | + | 0.445766i | 0.450293 | + | 0.0313640i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0.251253 | − | 1.79487i | 0.0175912 | − | 0.125666i | ||||
\(205\) | −0.832730 | −0.0581604 | ||||||||
\(206\) | 0.603165 | − | 8.65963i | 0.0420245 | − | 0.603345i | ||||
\(207\) | − | 8.31186i | − | 0.577714i | ||||||
\(208\) | 6.40368 | − | 22.4247i | 0.444015 | − | 1.55487i | ||||
\(209\) | 14.7979i | 1.02359i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.98398i | 0.687326i | 0.939093 | + | 0.343663i | \(0.111668\pi\) | ||||
−0.939093 | + | 0.343663i | \(0.888332\pi\) | |||||||
\(212\) | 14.6918 | + | 2.05662i | 1.00904 | + | 0.141249i | ||||
\(213\) | − | 2.33481i | − | 0.159979i | ||||||
\(214\) | 10.8179 | + | 0.753496i | 0.739499 | + | 0.0515079i | ||||
\(215\) | 3.10642 | 0.211856 | ||||||||
\(216\) | −2.15781 | + | 10.1927i | −0.146820 | + | 0.693528i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0.127277 | − | 1.82731i | 0.00862026 | − | 0.123761i | ||||
\(219\) | 3.42427i | 0.231391i | ||||||||
\(220\) | 7.15615 | + | 1.00175i | 0.482467 | + | 0.0675378i | ||||
\(221\) | −7.97654 | −0.536560 | ||||||||
\(222\) | −0.702661 | + | 10.0881i | −0.0471595 | + | 0.677068i | ||||
\(223\) | 16.8179 | 1.12621 | 0.563106 | − | 0.826384i | \(-0.309606\pi\) | ||||
0.563106 | + | 0.826384i | \(0.309606\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.56129 | 0.170752 | ||||||||
\(226\) | 0.698266 | − | 10.0250i | 0.0464479 | − | 0.666852i | ||||
\(227\) | 19.8338 | 1.31642 | 0.658209 | − | 0.752835i | \(-0.271314\pi\) | ||||
0.658209 | + | 0.752835i | \(0.271314\pi\) | |||||||
\(228\) | 5.37331 | + | 0.752178i | 0.355856 | + | 0.0498142i | ||||
\(229\) | − | 13.9331i | − | 0.920725i | −0.887731 | − | 0.460363i | \(-0.847719\pi\) | ||
0.887731 | − | 0.460363i | \(-0.152281\pi\) | |||||||
\(230\) | −0.318890 | + | 4.57830i | −0.0210270 | + | 0.301884i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.04220 | + | 14.3703i | −0.199730 | + | 0.943455i | ||||
\(233\) | 10.2257 | 0.669905 | 0.334953 | − | 0.942235i | \(-0.391280\pi\) | ||||
0.334953 | + | 0.942235i | \(0.391280\pi\) | |||||||
\(234\) | 21.0674 | + | 1.46740i | 1.37722 | + | 0.0959267i | ||||
\(235\) | 6.89601i | 0.449846i | ||||||||
\(236\) | 14.8127 | + | 2.07354i | 0.964225 | + | 0.134976i | ||||
\(237\) | − | 7.51117i | − | 0.487903i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 17.0835i | 1.10504i | 0.833501 | + | 0.552518i | \(0.186333\pi\) | ||||
−0.833501 | + | 0.552518i | \(0.813667\pi\) | |||||||
\(240\) | 0.727497 | − | 2.54758i | 0.0469598 | − | 0.164446i | ||||
\(241\) | − | 18.4837i | − | 1.19064i | −0.803489 | − | 0.595320i | \(-0.797025\pi\) | ||
0.803489 | − | 0.595320i | \(-0.202975\pi\) | |||||||
\(242\) | −0.201787 | + | 2.89705i | −0.0129714 | + | 0.186230i | ||||
\(243\) | −14.5241 | −0.931718 | ||||||||
\(244\) | −0.411889 | + | 2.94240i | −0.0263685 | + | 0.188368i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.778142 | − | 0.0541995i | −0.0496125 | − | 0.00345564i | ||||
\(247\) | − | 23.8794i | − | 1.51941i | ||||||
\(248\) | −5.19490 | + | 24.5389i | −0.329877 | + | 1.55822i | ||||
\(249\) | −4.29964 | −0.272479 | ||||||||
\(250\) | −1.41080 | − | 0.0982654i | −0.0892265 | − | 0.00621485i | ||||
\(251\) | 16.5313 | 1.04344 | 0.521722 | − | 0.853116i | \(-0.325290\pi\) | ||||
0.521722 | + | 0.853116i | \(0.325290\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −11.7247 | −0.737128 | ||||||||
\(254\) | −24.0086 | − | 1.67226i | −1.50643 | − | 0.104927i | ||||
\(255\) | −0.906184 | −0.0567475 | ||||||||
\(256\) | 13.5873 | + | 8.44906i | 0.849203 | + | 0.528066i | ||||
\(257\) | 6.19499i | 0.386433i | 0.981156 | + | 0.193216i | \(0.0618919\pi\) | ||||
−0.981156 | + | 0.193216i | \(0.938108\pi\) | |||||||
\(258\) | 2.90279 | + | 0.202186i | 0.180720 | + | 0.0125876i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −11.5479 | − | 1.61653i | −0.716173 | − | 0.100253i | ||||
\(261\) | −13.3014 | −0.823338 | ||||||||
\(262\) | 0.118521 | − | 1.70161i | 0.00732226 | − | 0.105126i | ||||
\(263\) | − | 21.1536i | − | 1.30439i | −0.758053 | − | 0.652194i | \(-0.773849\pi\) | ||
0.758053 | − | 0.652194i | \(-0.226151\pi\) | |||||||
\(264\) | 6.62184 | + | 1.40185i | 0.407546 | + | 0.0862778i | ||||
\(265\) | − | 7.41752i | − | 0.455655i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 6.22031i | 0.380677i | ||||||||
\(268\) | 0.703590 | − | 5.02621i | 0.0429786 | − | 0.307025i | ||||
\(269\) | − | 30.9866i | − | 1.88928i | −0.328102 | − | 0.944642i | \(-0.606409\pi\) | ||
0.328102 | − | 0.944642i | \(-0.393591\pi\) | |||||||
\(270\) | 5.19673 | + | 0.361965i | 0.316263 | + | 0.0220285i | ||||
\(271\) | −23.0381 | −1.39946 | −0.699732 | − | 0.714405i | \(-0.746697\pi\) | ||||
−0.699732 | + | 0.714405i | \(0.746697\pi\) | |||||||
\(272\) | 1.50268 | − | 5.26215i | 0.0911134 | − | 0.319065i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.210770 | − | 3.02602i | 0.0127331 | − | 0.182809i | ||||
\(275\) | − | 3.61296i | − | 0.217870i | ||||||
\(276\) | −0.595972 | + | 4.25742i | −0.0358733 | + | 0.256267i | ||||
\(277\) | 6.94562 | 0.417322 | 0.208661 | − | 0.977988i | \(-0.433089\pi\) | ||||
0.208661 | + | 0.977988i | \(0.433089\pi\) | |||||||
\(278\) | −0.333665 | + | 4.79043i | −0.0200119 | + | 0.287311i | ||||
\(279\) | −22.7137 | −1.35984 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4.24391 | −0.253170 | −0.126585 | − | 0.991956i | \(-0.540402\pi\) | ||||
−0.126585 | + | 0.991956i | \(0.540402\pi\) | |||||||
\(282\) | −0.448838 | + | 6.44396i | −0.0267279 | + | 0.383732i | ||||
\(283\) | 8.53198 | 0.507174 | 0.253587 | − | 0.967313i | \(-0.418390\pi\) | ||||
0.253587 | + | 0.967313i | \(0.418390\pi\) | |||||||
\(284\) | 0.977363 | − | 6.98195i | 0.0579958 | − | 0.414303i | ||||
\(285\) | − | 2.71285i | − | 0.160695i | ||||||
\(286\) | 2.06992 | − | 29.7178i | 0.122397 | − | 1.75725i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −4.93688 | + | 13.6218i | −0.290909 | + | 0.802672i | ||||
\(289\) | 15.1282 | 0.889896 | ||||||||
\(290\) | 7.32664 | + | 0.510319i | 0.430235 | + | 0.0299669i | ||||
\(291\) | − | 0.227313i | − | 0.0133253i | ||||||
\(292\) | −1.43342 | + | 10.2398i | −0.0838843 | + | 0.599241i | ||||
\(293\) | 25.2319i | 1.47406i | 0.675857 | + | 0.737032i | \(0.263773\pi\) | ||||
−0.675857 | + | 0.737032i | \(0.736227\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 7.47856i | − | 0.435419i | ||||||
\(296\) | −6.32414 | + | 29.8730i | −0.367583 | + | 1.73633i | ||||
\(297\) | 13.3085i | 0.772238i | ||||||||
\(298\) | −1.87553 | + | 26.9270i | −0.108647 | + | 1.55984i | ||||
\(299\) | 18.9203 | 1.09419 | ||||||||
\(300\) | −1.31192 | − | 0.183648i | −0.0757436 | − | 0.0106029i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −13.5520 | − | 0.943933i | −0.779832 | − | 0.0543172i | ||||
\(303\) | − | 3.00467i | − | 0.172614i | ||||||
\(304\) | 15.7533 | + | 4.49859i | 0.903516 | + | 0.258012i | ||||
\(305\) | 1.48554 | 0.0850620 | ||||||||
\(306\) | 4.94365 | + | 0.344338i | 0.282610 | + | 0.0196845i | ||||
\(307\) | −29.2635 | −1.67016 | −0.835078 | − | 0.550132i | \(-0.814577\pi\) | ||||
−0.835078 | + | 0.550132i | \(0.814577\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.06561 | −0.231285 | ||||||||
\(310\) | 12.5111 | + | 0.871427i | 0.710581 | + | 0.0494937i | ||||
\(311\) | 22.7461 | 1.28981 | 0.644906 | − | 0.764262i | \(-0.276896\pi\) | ||||
0.644906 | + | 0.764262i | \(0.276896\pi\) | |||||||
\(312\) | −10.6857 | − | 2.26218i | −0.604960 | − | 0.128071i | ||||
\(313\) | − | 6.58481i | − | 0.372195i | −0.982531 | − | 0.186098i | \(-0.940416\pi\) | ||
0.982531 | − | 0.186098i | \(-0.0595841\pi\) | |||||||
\(314\) | 23.2250 | + | 1.61768i | 1.31066 | + | 0.0912910i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.14421 | − | 22.4612i | 0.176876 | − | 1.26354i | ||||
\(317\) | −14.1217 | −0.793154 | −0.396577 | − | 0.918001i | \(-0.629802\pi\) | ||||
−0.396577 | + | 0.918001i | \(0.629802\pi\) | |||||||
\(318\) | 0.482781 | − | 6.93128i | 0.0270730 | − | 0.388687i | ||||
\(319\) | 18.7631i | 1.05053i | ||||||||
\(320\) | 3.24192 | − | 7.31368i | 0.181229 | − | 0.408847i | ||||
\(321\) | − | 5.07891i | − | 0.283477i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 5.60352i | − | 0.311788i | ||||||
\(324\) | −10.3868 | − | 1.45399i | −0.577046 | − | 0.0807772i | ||||
\(325\) | 5.83027i | 0.323405i | ||||||||
\(326\) | −10.0958 | − | 0.703199i | −0.559155 | − | 0.0389466i | ||||
\(327\) | −0.857903 | −0.0474422 | ||||||||
\(328\) | −2.30425 | − | 0.487811i | −0.127231 | − | 0.0269349i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0.235155 | − | 3.37612i | 0.0129449 | − | 0.185849i | ||||
\(331\) | − | 20.3224i | − | 1.11702i | −0.829498 | − | 0.558510i | \(-0.811373\pi\) | ||
0.829498 | − | 0.558510i | \(-0.188627\pi\) | |||||||
\(332\) | −12.8575 | − | 1.79985i | −0.705649 | − | 0.0987796i | ||||
\(333\) | −27.6511 | −1.51527 | ||||||||
\(334\) | 1.34749 | − | 19.3459i | 0.0737313 | − | 1.05856i | ||||
\(335\) | −2.53761 | −0.138644 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 15.7704 | 0.859067 | 0.429533 | − | 0.903051i | \(-0.358678\pi\) | ||||
0.429533 | + | 0.903051i | \(0.358678\pi\) | |||||||
\(338\) | −2.06279 | + | 29.6155i | −0.112201 | + | 1.61087i | ||||
\(339\) | −4.70663 | −0.255629 | ||||||||
\(340\) | −2.70983 | − | 0.379333i | −0.146961 | − | 0.0205722i | ||||
\(341\) | 32.0401i | 1.73507i | ||||||||
\(342\) | −1.03085 | + | 14.7999i | −0.0557418 | + | 0.800285i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 8.59578 | + | 1.81973i | 0.463453 | + | 0.0981134i | ||||
\(345\) | 2.14947 | 0.115723 | ||||||||
\(346\) | −5.53651 | − | 0.385632i | −0.297644 | − | 0.0207317i | ||||
\(347\) | − | 3.04784i | − | 0.163616i | −0.996648 | − | 0.0818082i | \(-0.973930\pi\) | ||
0.996648 | − | 0.0818082i | \(-0.0260695\pi\) | |||||||
\(348\) | 6.81314 | + | 0.953731i | 0.365222 | + | 0.0511254i | ||||
\(349\) | 8.40462i | 0.449889i | 0.974372 | + | 0.224944i | \(0.0722201\pi\) | ||||
−0.974372 | + | 0.224944i | \(0.927780\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 21.4761i | − | 1.14631i | ||||||
\(352\) | 19.2150 | + | 6.96399i | 1.02416 | + | 0.371182i | ||||
\(353\) | 0.432821i | 0.0230367i | 0.999934 | + | 0.0115184i | \(0.00366649\pi\) | ||||
−0.999934 | + | 0.0115184i | \(0.996334\pi\) | |||||||
\(354\) | 0.486754 | − | 6.98832i | 0.0258707 | − | 0.371425i | ||||
\(355\) | −3.52502 | −0.187088 | ||||||||
\(356\) | −2.60385 | + | 18.6011i | −0.138004 | + | 0.985854i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 28.9973 | + | 2.01973i | 1.53255 | + | 0.106746i | ||||
\(359\) | − | 26.9810i | − | 1.42400i | −0.702178 | − | 0.712002i | \(-0.747789\pi\) | ||
0.702178 | − | 0.712002i | \(-0.252211\pi\) | |||||||
\(360\) | 7.08734 | + | 1.50039i | 0.373535 | + | 0.0790777i | ||||
\(361\) | −2.22468 | −0.117088 | ||||||||
\(362\) | 18.4254 | + | 1.28337i | 0.968415 | + | 0.0674526i | ||||
\(363\) | 1.36014 | 0.0713888 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.16984 | 0.270602 | ||||||||
\(366\) | 1.38816 | + | 0.0966889i | 0.0725604 | + | 0.00505401i | ||||
\(367\) | −20.8212 | −1.08686 | −0.543430 | − | 0.839455i | \(-0.682875\pi\) | ||||
−0.543430 | + | 0.839455i | \(0.682875\pi\) | |||||||
\(368\) | −3.56436 | + | 12.4818i | −0.185805 | + | 0.650659i | ||||
\(369\) | − | 2.13286i | − | 0.111032i | ||||||
\(370\) | 15.2306 | + | 1.06085i | 0.791804 | + | 0.0551511i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 11.6342 | + | 1.62860i | 0.603206 | + | 0.0844392i | ||||
\(373\) | −17.6614 | −0.914475 | −0.457237 | − | 0.889345i | \(-0.651161\pi\) | ||||
−0.457237 | + | 0.889345i | \(0.651161\pi\) | |||||||
\(374\) | 0.485724 | − | 6.97354i | 0.0251162 | − | 0.360593i | ||||
\(375\) | 0.662355i | 0.0342038i | ||||||||
\(376\) | −4.03966 | + | 19.0820i | −0.208330 | + | 0.984077i | ||||
\(377\) | − | 30.2781i | − | 1.55940i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 15.0551i | 0.773331i | 0.922220 | + | 0.386665i | \(0.126373\pi\) | ||||
−0.922220 | + | 0.386665i | \(0.873627\pi\) | |||||||
\(380\) | 1.13561 | − | 8.11244i | 0.0582557 | − | 0.416159i | ||||
\(381\) | 11.2718i | 0.577472i | ||||||||
\(382\) | 17.5998 | + | 1.22587i | 0.900486 | + | 0.0627211i | ||||
\(383\) | −30.3505 | −1.55084 | −0.775420 | − | 0.631446i | \(-0.782462\pi\) | ||||
−0.775420 | + | 0.631446i | \(0.782462\pi\) | |||||||
\(384\) | 3.50542 | − | 6.62324i | 0.178885 | − | 0.337991i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 1.87338 | − | 26.8961i | 0.0953527 | − | 1.36898i | ||||
\(387\) | 7.95643i | 0.404448i | ||||||||
\(388\) | 0.0951542 | − | 0.679750i | 0.00483072 | − | 0.0345091i | ||||
\(389\) | −6.27818 | −0.318316 | −0.159158 | − | 0.987253i | \(-0.550878\pi\) | ||||
−0.159158 | + | 0.987253i | \(0.550878\pi\) | |||||||
\(390\) | −0.379472 | + | 5.44808i | −0.0192153 | + | 0.275874i | ||||
\(391\) | 4.43983 | 0.224532 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.798887 | −0.0402985 | ||||||||
\(394\) | 0.189837 | − | 2.72549i | 0.00956384 | − | 0.137308i | ||||
\(395\) | −11.3401 | −0.570583 | ||||||||
\(396\) | −2.56576 | + | 18.3289i | −0.128934 | + | 0.921064i | ||||
\(397\) | 9.72207i | 0.487937i | 0.969783 | + | 0.243968i | \(0.0784493\pi\) | ||||
−0.969783 | + | 0.243968i | \(0.921551\pi\) | |||||||
\(398\) | −2.02079 | + | 29.0124i | −0.101293 | + | 1.45426i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.84625 | − | 1.09835i | −0.192312 | − | 0.0549175i | ||||
\(401\) | 6.98744 | 0.348936 | 0.174468 | − | 0.984663i | \(-0.444179\pi\) | ||||
0.174468 | + | 0.984663i | \(0.444179\pi\) | |||||||
\(402\) | −2.37126 | − | 0.165164i | −0.118268 | − | 0.00823764i | ||||
\(403\) | − | 51.7034i | − | 2.57553i | ||||||
\(404\) | 1.25777 | − | 8.98509i | 0.0625764 | − | 0.447025i | ||||
\(405\) | 5.24405i | 0.260579i | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 39.0048i | 1.93339i | ||||||||
\(408\) | −2.50750 | − | 0.530840i | −0.124140 | − | 0.0262805i | ||||
\(409\) | 2.24559i | 0.111037i | 0.998458 | + | 0.0555186i | \(0.0176812\pi\) | ||||
−0.998458 | + | 0.0555186i | \(0.982319\pi\) | |||||||
\(410\) | −0.0818286 | + | 1.17481i | −0.00404123 | + | 0.0580198i | ||||
\(411\) | −1.42069 | −0.0700773 | ||||||||
\(412\) | −12.1577 | − | 1.70189i | −0.598967 | − | 0.0838459i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −11.7263 | − | 0.816769i | −0.576318 | − | 0.0401420i | ||||
\(415\) | 6.49145i | 0.318653i | ||||||||
\(416\) | −31.0074 | − | 11.2379i | −1.52026 | − | 0.550981i | ||||
\(417\) | 2.24906 | 0.110137 | ||||||||
\(418\) | 20.8767 | + | 1.45412i | 1.02111 | + | 0.0711232i | ||||
\(419\) | −18.3565 | −0.896775 | −0.448388 | − | 0.893839i | \(-0.648002\pi\) | ||||
−0.448388 | + | 0.893839i | \(0.648002\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.27310 | 0.110784 | 0.0553921 | − | 0.998465i | \(-0.482359\pi\) | ||||
0.0553921 | + | 0.998465i | \(0.482359\pi\) | |||||||
\(422\) | 14.0854 | + | 0.981080i | 0.685664 | + | 0.0477582i | ||||
\(423\) | −17.6627 | −0.858788 | ||||||||
\(424\) | 4.34516 | − | 20.5250i | 0.211020 | − | 0.996783i | ||||
\(425\) | 1.36813i | 0.0663638i | ||||||||
\(426\) | −3.29394 | − | 0.229431i | −0.159592 | − | 0.0111160i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 2.12606 | − | 15.1879i | 0.102767 | − | 0.734133i | ||||
\(429\) | −13.9522 | −0.673618 | ||||||||
\(430\) | 0.305254 | − | 4.38252i | 0.0147206 | − | 0.211344i | ||||
\(431\) | − | 12.8610i | − | 0.619490i | −0.950820 | − | 0.309745i | \(-0.899756\pi\) | ||
0.950820 | − | 0.309745i | \(-0.100244\pi\) | |||||||
\(432\) | 14.1678 | + | 4.04582i | 0.681650 | + | 0.194655i | ||||
\(433\) | − | 33.6307i | − | 1.61619i | −0.589054 | − | 0.808094i | \(-0.700499\pi\) | ||
0.589054 | − | 0.808094i | \(-0.299501\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | − | 3.43978i | − | 0.164925i | ||||||
\(436\) | −2.56545 | − | 0.359122i | −0.122863 | − | 0.0171988i | ||||
\(437\) | 13.2915i | 0.635821i | ||||||||
\(438\) | 4.83094 | + | 0.336487i | 0.230831 | + | 0.0160780i | ||||
\(439\) | −24.8870 | −1.18779 | −0.593896 | − | 0.804542i | \(-0.702411\pi\) | ||||
−0.593896 | + | 0.804542i | \(0.702411\pi\) | |||||||
\(440\) | 2.11646 | − | 9.99743i | 0.100898 | − | 0.476609i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.783818 | + | 11.2533i | −0.0372824 | + | 0.535263i | ||||
\(443\) | − | 7.94772i | − | 0.377608i | −0.982015 | − | 0.188804i | \(-0.939539\pi\) | ||
0.982015 | − | 0.188804i | \(-0.0604610\pi\) | |||||||
\(444\) | 14.1632 | + | 1.98262i | 0.672155 | + | 0.0940910i | ||||
\(445\) | 9.39121 | 0.445186 | ||||||||
\(446\) | 1.65262 | − | 23.7267i | 0.0782540 | − | 1.12349i | ||||
\(447\) | 12.6420 | 0.597944 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 14.3027 | 0.674988 | 0.337494 | − | 0.941328i | \(-0.390421\pi\) | ||||
0.337494 | + | 0.941328i | \(0.390421\pi\) | |||||||
\(450\) | 0.251686 | − | 3.61345i | 0.0118646 | − | 0.170340i | ||||
\(451\) | −3.00862 | −0.141670 | ||||||||
\(452\) | −14.0746 | − | 1.97022i | −0.662013 | − | 0.0926714i | ||||
\(453\) | 6.36255i | 0.298939i | ||||||||
\(454\) | 1.94898 | − | 27.9815i | 0.0914702 | − | 1.31324i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.58918 | − | 7.50673i | 0.0744202 | − | 0.351535i | ||||
\(457\) | 22.1786 | 1.03747 | 0.518737 | − | 0.854934i | \(-0.326403\pi\) | ||||
0.518737 | + | 0.854934i | \(0.326403\pi\) | |||||||
\(458\) | −19.6568 | − | 1.36914i | −0.918500 | − | 0.0639758i | ||||
\(459\) | − | 5.03955i | − | 0.235226i | ||||||
\(460\) | 6.42771 | + | 0.899777i | 0.299693 | + | 0.0419523i | ||||
\(461\) | − | 32.8587i | − | 1.53038i | −0.643803 | − | 0.765192i | \(-0.722644\pi\) | ||
0.643803 | − | 0.765192i | \(-0.277356\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 3.31392i | − | 0.154011i | −0.997031 | − | 0.0770055i | \(-0.975464\pi\) | ||
0.997031 | − | 0.0770055i | \(-0.0245359\pi\) | |||||||
\(464\) | 19.9746 | + | 5.70402i | 0.927297 | + | 0.264803i | ||||
\(465\) | − | 5.87382i | − | 0.272392i | ||||||
\(466\) | 1.00483 | − | 14.4263i | 0.0465478 | − | 0.668286i | ||||
\(467\) | −35.1334 | −1.62578 | −0.812890 | − | 0.582417i | \(-0.802107\pi\) | ||||
−0.812890 | + | 0.582417i | \(0.802107\pi\) | |||||||
\(468\) | 4.14039 | − | 29.5776i | 0.191390 | − | 1.36722i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 9.72886 | + | 0.677640i | 0.448759 | + | 0.0312572i | ||||
\(471\) | − | 10.9039i | − | 0.502426i | ||||||
\(472\) | 4.38092 | − | 20.6939i | 0.201648 | − | 0.952516i | ||||
\(473\) | 11.2234 | 0.516051 | ||||||||
\(474\) | −10.5967 | − | 0.738088i | −0.486724 | − | 0.0339015i | ||||
\(475\) | −4.09577 | −0.187927 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 18.9984 | 0.869877 | ||||||||
\(478\) | 24.1013 | + | 1.67871i | 1.10237 | + | 0.0767825i | ||||
\(479\) | −22.3266 | −1.02013 | −0.510065 | − | 0.860136i | \(-0.670379\pi\) | ||||
−0.510065 | + | 0.860136i | \(0.670379\pi\) | |||||||
\(480\) | −3.52263 | − | 1.27669i | −0.160785 | − | 0.0582726i | ||||
\(481\) | − | 62.9423i | − | 2.86992i | ||||||
\(482\) | −26.0767 | − | 1.81631i | −1.18776 | − | 0.0827306i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.06732 | + | 0.569361i | 0.184878 | + | 0.0258800i | ||||
\(485\) | −0.343189 | −0.0155834 | ||||||||
\(486\) | −1.42721 | + | 20.4905i | −0.0647397 | + | 0.929466i | ||||
\(487\) | − | 7.18519i | − | 0.325592i | −0.986660 | − | 0.162796i | \(-0.947949\pi\) | ||
0.986660 | − | 0.162796i | \(-0.0520512\pi\) | |||||||
\(488\) | 4.11065 | + | 0.870227i | 0.186080 | + | 0.0393933i | ||||
\(489\) | 4.73989i | 0.214345i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 5.80059i | − | 0.261777i | −0.991397 | − | 0.130889i | \(-0.958217\pi\) | ||
0.991397 | − | 0.130889i | \(-0.0417830\pi\) | |||||||
\(492\) | −0.152929 | + | 1.09247i | −0.00689457 | + | 0.0492525i | ||||
\(493\) | − | 7.10504i | − | 0.319995i | ||||||
\(494\) | −33.6890 | − | 2.34652i | −1.51574 | − | 0.105575i | ||||
\(495\) | 9.25383 | 0.415929 | ||||||||
\(496\) | 34.1089 | + | 9.74027i | 1.53153 | + | 0.437351i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −0.422506 | + | 6.06591i | −0.0189329 | + | 0.271820i | ||||
\(499\) | 39.6601i | 1.77543i | 0.460394 | + | 0.887715i | \(0.347708\pi\) | ||||
−0.460394 | + | 0.887715i | \(0.652292\pi\) | |||||||
\(500\) | −0.277265 | + | 1.98069i | −0.0123997 | + | 0.0885791i | ||||
\(501\) | −9.08270 | −0.405785 | ||||||||
\(502\) | 1.62445 | − | 23.3222i | 0.0725028 | − | 1.04092i | ||||
\(503\) | 8.22384 | 0.366683 | 0.183341 | − | 0.983049i | \(-0.441309\pi\) | ||||
0.183341 | + | 0.983049i | \(0.441309\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.53635 | −0.201865 | ||||||||
\(506\) | −1.15214 | + | 16.5412i | −0.0512187 | + | 0.735347i | ||||
\(507\) | 13.9042 | 0.617506 | ||||||||
\(508\) | −4.71843 | + | 33.7069i | −0.209346 | + | 1.49550i | ||||
\(509\) | 32.5719i | 1.44373i | 0.692036 | + | 0.721863i | \(0.256714\pi\) | ||||
−0.692036 | + | 0.721863i | \(0.743286\pi\) | |||||||
\(510\) | −0.0890466 | + | 1.27844i | −0.00394305 | + | 0.0566103i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 13.2550 | − | 18.3386i | 0.585796 | − | 0.810459i | ||||
\(513\) | 15.0869 | 0.666105 | ||||||||
\(514\) | 8.73986 | + | 0.608753i | 0.385499 | + | 0.0268509i | ||||
\(515\) | 6.13812i | 0.270478i | ||||||||
\(516\) | 0.570487 | − | 4.07537i | 0.0251143 | − | 0.179408i | ||||
\(517\) | 24.9150i | 1.09576i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.59934i | 0.114098i | ||||||||
\(520\) | −3.41536 | + | 16.1329i | −0.149773 | + | 0.707476i | ||||
\(521\) | − | 5.64398i | − | 0.247267i | −0.992328 | − | 0.123634i | \(-0.960545\pi\) | ||
0.992328 | − | 0.123634i | \(-0.0394547\pi\) | |||||||
\(522\) | −1.30707 | + | 18.7656i | −0.0572090 | + | 0.821348i | ||||
\(523\) | −2.73410 | −0.119554 | −0.0597770 | − | 0.998212i | \(-0.519039\pi\) | ||||
−0.0597770 | + | 0.998212i | \(0.519039\pi\) | |||||||
\(524\) | −2.38897 | − | 0.334418i | −0.104363 | − | 0.0146091i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −29.8434 | − | 2.07867i | −1.30123 | − | 0.0906342i | ||||
\(527\) | − | 12.1327i | − | 0.528507i | ||||||
\(528\) | 2.62842 | − | 9.20431i | 0.114387 | − | 0.400566i | ||||
\(529\) | 12.4687 | 0.542119 | ||||||||
\(530\) | −10.4646 | − | 0.728886i | −0.454553 | − | 0.0316608i | ||||
\(531\) | 19.1547 | 0.831245 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 4.85504 | 0.210295 | ||||||||
\(534\) | 8.77559 | + | 0.611242i | 0.379757 | + | 0.0264510i | ||||
\(535\) | −7.66797 | −0.331515 | ||||||||
\(536\) | −7.02182 | − | 1.48652i | −0.303296 | − | 0.0642081i | ||||
\(537\) | − | 13.6139i | − | 0.587485i | ||||||
\(538\) | −43.7157 | − | 3.04491i | −1.88472 | − | 0.131275i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 1.02132 | − | 7.29595i | 0.0439505 | − | 0.313968i | ||||
\(541\) | 28.2999 | 1.21671 | 0.608355 | − | 0.793665i | \(-0.291830\pi\) | ||||
0.608355 | + | 0.793665i | \(0.291830\pi\) | |||||||
\(542\) | −2.26385 | + | 32.5020i | −0.0972406 | + | 1.39608i | ||||
\(543\) | − | 8.65052i | − | 0.371230i | ||||||
\(544\) | −7.27616 | − | 2.63706i | −0.311963 | − | 0.113063i | ||||
\(545\) | 1.29523i | 0.0554817i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 20.7596i | − | 0.887616i | −0.896122 | − | 0.443808i | \(-0.853627\pi\) | ||
0.896122 | − | 0.443808i | \(-0.146373\pi\) | |||||||
\(548\) | −4.24839 | − | 0.594707i | −0.181482 | − | 0.0254046i | ||||
\(549\) | 3.80490i | 0.162389i | ||||||||
\(550\) | −5.09715 | − | 0.355029i | −0.217343 | − | 0.0151385i | ||||
\(551\) | 21.2704 | 0.906150 | ||||||||
\(552\) | 5.94779 | + | 1.25915i | 0.253155 | + | 0.0535930i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0.682514 | − | 9.79885i | 0.0289973 | − | 0.416313i | ||||
\(555\) | − | 7.15064i | − | 0.303528i | ||||||
\(556\) | 6.72553 | + | 0.941468i | 0.285226 | + | 0.0399271i | ||||
\(557\) | −18.7575 | −0.794781 | −0.397391 | − | 0.917650i | \(-0.630084\pi\) | ||||
−0.397391 | + | 0.917650i | \(0.630084\pi\) | |||||||
\(558\) | −2.23197 | + | 32.0444i | −0.0944870 | + | 1.35655i | ||||
\(559\) | −18.1113 | −0.766025 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.27401 | −0.138229 | ||||||||
\(562\) | −0.417029 | + | 5.98728i | −0.0175913 | + | 0.252558i | ||||
\(563\) | 33.3740 | 1.40655 | 0.703274 | − | 0.710919i | \(-0.251721\pi\) | ||||
0.703274 | + | 0.710919i | \(0.251721\pi\) | |||||||
\(564\) | 9.04700 | + | 1.26644i | 0.380947 | + | 0.0533266i | ||||
\(565\) | 7.10591i | 0.298948i | ||||||||
\(566\) | 0.838399 | − | 12.0369i | 0.0352405 | − | 0.505948i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.75407 | − | 2.06494i | −0.409272 | − | 0.0866431i | ||||
\(569\) | 13.0300 | 0.546247 | 0.273124 | − | 0.961979i | \(-0.411943\pi\) | ||||
0.273124 | + | 0.961979i | \(0.411943\pi\) | |||||||
\(570\) | −3.82728 | − | 0.266580i | −0.160307 | − | 0.0111658i | ||||
\(571\) | − | 32.9558i | − | 1.37916i | −0.724211 | − | 0.689579i | \(-0.757796\pi\) | ||
0.724211 | − | 0.689579i | \(-0.242204\pi\) | |||||||
\(572\) | −41.7223 | − | 5.84046i | −1.74450 | − | 0.244202i | ||||
\(573\) | − | 8.26295i | − | 0.345190i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 3.24519i | − | 0.135334i | ||||||
\(576\) | 18.7324 | + | 8.30348i | 0.780518 | + | 0.345978i | ||||
\(577\) | − | 36.3874i | − | 1.51483i | −0.652935 | − | 0.757414i | \(-0.726462\pi\) | ||
0.652935 | − | 0.757414i | \(-0.273538\pi\) | |||||||
\(578\) | 1.48658 | − | 21.3428i | 0.0618337 | − | 0.887745i | ||||
\(579\) | −12.6275 | −0.524780 | ||||||||
\(580\) | 1.43991 | − | 10.2862i | 0.0597890 | − | 0.427113i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −0.320692 | − | 0.0223370i | −0.0132931 | − | 0.000925898i | ||||
\(583\) | − | 26.7992i | − | 1.10991i | ||||||
\(584\) | 14.3055 | + | 3.02848i | 0.591964 | + | 0.125319i | ||||
\(585\) | −14.9330 | −0.617403 | ||||||||
\(586\) | 35.5971 | + | 2.47943i | 1.47050 | + | 0.102424i | ||||
\(587\) | −28.4245 | −1.17321 | −0.586603 | − | 0.809875i | \(-0.699535\pi\) | ||||
−0.586603 | + | 0.809875i | \(0.699535\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 36.3217 | 1.49661 | ||||||||
\(590\) | −10.5507 | − | 0.734884i | −0.434366 | − | 0.0302547i | ||||
\(591\) | −1.27959 | −0.0526352 | ||||||||
\(592\) | 41.5233 | + | 11.8576i | 1.70660 | + | 0.487342i | ||||
\(593\) | − | 7.57149i | − | 0.310924i | −0.987842 | − | 0.155462i | \(-0.950313\pi\) | ||
0.987842 | − | 0.155462i | \(-0.0496866\pi\) | |||||||
\(594\) | 18.7756 | + | 1.30777i | 0.770371 | + | 0.0536583i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 37.8042 | + | 5.29198i | 1.54852 | + | 0.216768i | ||||
\(597\) | 13.6210 | 0.557472 | ||||||||
\(598\) | 1.85921 | − | 26.6927i | 0.0760289 | − | 1.09155i | ||||
\(599\) | 47.4510i | 1.93879i | 0.245499 | + | 0.969397i | \(0.421048\pi\) | ||||
−0.245499 | + | 0.969397i | \(0.578952\pi\) | |||||||
\(600\) | −0.388005 | + | 1.83280i | −0.0158403 | + | 0.0748238i | ||||
\(601\) | 13.3242i | 0.543506i | 0.962367 | + | 0.271753i | \(0.0876034\pi\) | ||||
−0.962367 | + | 0.271753i | \(0.912397\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 6.49954i | − | 0.264682i | ||||||
\(604\) | −2.66339 | + | 19.0264i | −0.108372 | + | 0.774173i | ||||
\(605\) | − | 2.05349i | − | 0.0834862i | ||||||
\(606\) | −4.23898 | − | 0.295255i | −0.172197 | − | 0.0119939i | ||||
\(607\) | −15.0816 | −0.612143 | −0.306072 | − | 0.952008i | \(-0.599015\pi\) | ||||
−0.306072 | + | 0.952008i | \(0.599015\pi\) | |||||||
\(608\) | 7.89460 | − | 21.7827i | 0.320168 | − | 0.883405i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.145978 | − | 2.09580i | 0.00591046 | − | 0.0848564i | ||||
\(611\) | − | 40.2056i | − | 1.62654i | ||||||
\(612\) | 0.971581 | − | 6.94065i | 0.0392738 | − | 0.280559i | ||||
\(613\) | −5.20469 | −0.210215 | −0.105108 | − | 0.994461i | \(-0.533519\pi\) | ||||
−0.105108 | + | 0.994461i | \(0.533519\pi\) | |||||||
\(614\) | −2.87559 | + | 41.2848i | −0.116049 | + | 1.66612i | ||||
\(615\) | 0.551563 | 0.0222412 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −35.7404 | −1.43885 | −0.719426 | − | 0.694569i | \(-0.755595\pi\) | ||||
−0.719426 | + | 0.694569i | \(0.755595\pi\) | |||||||
\(618\) | −0.399509 | + | 5.73575i | −0.0160706 | + | 0.230726i | ||||
\(619\) | −38.2437 | −1.53715 | −0.768573 | − | 0.639762i | \(-0.779033\pi\) | ||||
−0.768573 | + | 0.639762i | \(0.779033\pi\) | |||||||
\(620\) | 2.45881 | − | 17.5649i | 0.0987482 | − | 0.705424i | ||||
\(621\) | 11.9538i | 0.479689i | ||||||||
\(622\) | 2.23515 | − | 32.0901i | 0.0896215 | − | 1.28670i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −4.24151 | + | 14.8531i | −0.169796 | + | 0.594599i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −9.28981 | − | 0.647059i | −0.371296 | − | 0.0258617i | ||||
\(627\) | − | 9.80143i | − | 0.391431i | ||||||
\(628\) | 4.56443 | − | 32.6068i | 0.182141 | − | 1.30115i | ||||
\(629\) | − | 14.7700i | − | 0.588918i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 12.0334i | − | 0.479042i | −0.970891 | − | 0.239521i | \(-0.923010\pi\) | ||
0.970891 | − | 0.239521i | \(-0.0769904\pi\) | |||||||
\(632\) | −31.3792 | − | 6.64300i | −1.24820 | − | 0.264244i | ||||
\(633\) | − | 6.61294i | − | 0.262841i | ||||||
\(634\) | −1.38768 | + | 19.9229i | −0.0551117 | + | 0.791237i | ||||
\(635\) | 17.0178 | 0.675329 | ||||||||
\(636\) | −9.73118 | − | 1.36221i | −0.385866 | − | 0.0540152i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 26.4709 | + | 1.84376i | 1.04799 | + | 0.0729952i | ||||
\(639\) | − | 9.02857i | − | 0.357165i | ||||||
\(640\) | −9.99954 | − | 5.29237i | −0.395267 | − | 0.209199i | ||||
\(641\) | 22.9352 | 0.905888 | 0.452944 | − | 0.891539i | \(-0.350374\pi\) | ||||
0.452944 | + | 0.891539i | \(0.350374\pi\) | |||||||
\(642\) | −7.16531 | − | 0.499082i | −0.282792 | − | 0.0196972i | ||||
\(643\) | −1.23955 | −0.0488833 | −0.0244416 | − | 0.999701i | \(-0.507781\pi\) | ||||
−0.0244416 | + | 0.999701i | \(0.507781\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.05755 | −0.0810160 | ||||||||
\(646\) | −7.90543 | − | 0.550633i | −0.311035 | − | 0.0216644i | ||||
\(647\) | 14.1415 | 0.555962 | 0.277981 | − | 0.960587i | \(-0.410335\pi\) | ||||
0.277981 | + | 0.960587i | \(0.410335\pi\) | |||||||
\(648\) | −3.07195 | + | 14.5108i | −0.120678 | + | 0.570038i | ||||
\(649\) | − | 27.0198i | − | 1.06062i | ||||||
\(650\) | 8.22532 | + | 0.572914i | 0.322624 | + | 0.0224715i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.98414 | + | 14.1740i | −0.0777049 | + | 0.555098i | ||||
\(653\) | −17.0916 | −0.668845 | −0.334423 | − | 0.942423i | \(-0.608541\pi\) | ||||
−0.334423 | + | 0.942423i | \(0.608541\pi\) | |||||||
\(654\) | −0.0843022 | + | 1.21033i | −0.00329648 | + | 0.0473275i | ||||
\(655\) | 1.20613i | 0.0471275i | ||||||||
\(656\) | −0.914629 | + | 3.20289i | −0.0357103 | + | 0.125052i | ||||
\(657\) | 13.2414i | 0.516598i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 3.45765i | 0.134691i | 0.997730 | + | 0.0673455i | \(0.0214530\pi\) | ||||
−0.997730 | + | 0.0673455i | \(0.978547\pi\) | |||||||
\(660\) | −4.73991 | − | 0.663512i | −0.184501 | − | 0.0258272i | ||||
\(661\) | 15.1632i | 0.589780i | 0.955531 | + | 0.294890i | \(0.0952830\pi\) | ||||
−0.955531 | + | 0.294890i | \(0.904717\pi\) | |||||||
\(662\) | −28.6707 | − | 1.99699i | −1.11432 | − | 0.0776152i | ||||
\(663\) | 5.28330 | 0.205186 | ||||||||
\(664\) | −3.80267 | + | 17.9625i | −0.147572 | + | 0.697079i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −2.71715 | + | 39.0100i | −0.105287 | + | 1.51161i | ||||
\(667\) | 16.8531i | 0.652556i | ||||||||
\(668\) | −27.1607 | − | 3.80206i | −1.05088 | − | 0.147106i | ||||
\(669\) | −11.1394 | −0.430676 | ||||||||
\(670\) | −0.249359 | + | 3.58005i | −0.00963359 | + | 0.138309i | ||||
\(671\) | 5.36721 | 0.207199 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −11.2116 | −0.432175 | −0.216087 | − | 0.976374i | \(-0.569330\pi\) | ||||
−0.216087 | + | 0.976374i | \(0.569330\pi\) | |||||||
\(674\) | 1.54968 | − | 22.2488i | 0.0596915 | − | 0.856991i | ||||
\(675\) | −3.68354 | −0.141780 | ||||||||
\(676\) | 41.5787 | + | 5.82036i | 1.59918 | + | 0.223860i | ||||
\(677\) | − | 3.67637i | − | 0.141294i | −0.997501 | − | 0.0706471i | \(-0.977494\pi\) | ||
0.997501 | − | 0.0706471i | \(-0.0225064\pi\) | |||||||
\(678\) | −0.462500 | + | 6.64010i | −0.0177622 | + | 0.255011i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −0.801444 | + | 3.78574i | −0.0307340 | + | 0.145176i | ||||
\(681\) | −13.1370 | −0.503412 | ||||||||
\(682\) | 45.2020 | + | 3.14843i | 1.73087 | + | 0.120560i | ||||
\(683\) | 42.1877i | 1.61427i | 0.590369 | + | 0.807133i | \(0.298982\pi\) | ||||
−0.590369 | + | 0.807133i | \(0.701018\pi\) | |||||||
\(684\) | 20.7783 | + | 2.90863i | 0.794477 | + | 0.111214i | ||||
\(685\) | 2.14490i | 0.0819526i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 9.22865i | 0.352095i | ||||||||
\(688\) | 3.41194 | − | 11.9481i | 0.130079 | − | 0.455516i | ||||
\(689\) | 43.2461i | 1.64755i | ||||||||
\(690\) | 0.211218 | − | 3.03246i | 0.00804094 | − | 0.115444i | ||||
\(691\) | 23.1230 | 0.879640 | 0.439820 | − | 0.898086i | \(-0.355042\pi\) | ||||
0.439820 | + | 0.898086i | \(0.355042\pi\) | |||||||
\(692\) | −1.08809 | + | 7.77298i | −0.0413631 | + | 0.295485i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.29987 | − | 0.299497i | −0.163221 | − | 0.0113688i | ||||
\(695\) | − | 3.39555i | − | 0.128801i | ||||||
\(696\) | 2.01502 | − | 9.51822i | 0.0763790 | − | 0.360787i | ||||
\(697\) | 1.13928 | 0.0431533 | ||||||||
\(698\) | 11.8572 | + | 0.825884i | 0.448802 | + | 0.0312602i | ||||
\(699\) | −6.77301 | −0.256179 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 29.3192 | 1.10737 | 0.553686 | − | 0.832725i | \(-0.313221\pi\) | ||||
0.553686 | + | 0.832725i | \(0.313221\pi\) | |||||||
\(702\) | −30.2983 | − | 2.11035i | −1.14354 | − | 0.0796502i | ||||
\(703\) | 44.2170 | 1.66768 | ||||||||
\(704\) | 11.7129 | − | 26.4241i | 0.441448 | − | 0.995894i | ||||
\(705\) | − | 4.56761i | − | 0.172026i | ||||||
\(706\) | 0.610622 | + | 0.0425314i | 0.0229811 | + | 0.00160069i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −9.81126 | − | 1.37342i | −0.368730 | − | 0.0516163i | ||||
\(709\) | 3.35439 | 0.125977 | 0.0629884 | − | 0.998014i | \(-0.479937\pi\) | ||||
0.0629884 | + | 0.998014i | \(0.479937\pi\) | |||||||
\(710\) | −0.346387 | + | 4.97308i | −0.0129997 | + | 0.186636i | ||||
\(711\) | − | 29.0453i | − | 1.08928i | ||||||
\(712\) | 25.9864 | + | 5.50134i | 0.973882 | + | 0.206172i | ||||
\(713\) | 28.7786i | 1.07777i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 21.0645i | 0.787769i | ||||||||
\(716\) | 5.69886 | − | 40.7108i | 0.212977 | − | 1.52143i | ||||
\(717\) | − | 11.3153i | − | 0.422578i | ||||||
\(718\) | −38.0647 | − | 2.65130i | −1.42056 | − | 0.0989457i | ||||
\(719\) | 31.0284 | 1.15717 | 0.578583 | − | 0.815624i | \(-0.303606\pi\) | ||||
0.578583 | + | 0.815624i | \(0.303606\pi\) | |||||||
\(720\) | 2.81319 | − | 9.85134i | 0.104841 | − | 0.367138i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −0.218609 | + | 3.13857i | −0.00813579 | + | 0.116805i | ||||
\(723\) | 12.2428i | 0.455313i | ||||||||
\(724\) | 3.62115 | − | 25.8683i | 0.134579 | − | 0.961388i | ||||
\(725\) | −5.19327 | −0.192873 | ||||||||
\(726\) | 0.133655 | − | 1.91888i | 0.00496039 | − | 0.0712162i | ||||
\(727\) | 37.9906 | 1.40899 | 0.704497 | − | 0.709707i | \(-0.251173\pi\) | ||||
0.704497 | + | 0.709707i | \(0.251173\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −6.11207 | −0.226373 | ||||||||
\(730\) | 0.508017 | − | 7.29359i | 0.0188025 | − | 0.269948i | ||||
\(731\) | −4.24997 | −0.157191 | ||||||||
\(732\) | 0.272817 | − | 1.94891i | 0.0100836 | − | 0.0720338i | ||||
\(733\) | 30.9751i | 1.14409i | 0.820222 | + | 0.572046i | \(0.193850\pi\) | ||||
−0.820222 | + | 0.572046i | \(0.806150\pi\) | |||||||
\(734\) | −2.04601 | + | 29.3745i | −0.0755195 | + | 1.08423i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 17.2590 | + | 6.25511i | 0.636176 | + | 0.230566i | ||||
\(737\) | −9.16828 | −0.337718 | ||||||||
\(738\) | −3.00903 | − | 0.209586i | −0.110764 | − | 0.00771498i | ||||
\(739\) | 2.92228i | 0.107498i | 0.998554 | + | 0.0537488i | \(0.0171170\pi\) | ||||
−0.998554 | + | 0.0537488i | \(0.982883\pi\) | |||||||
\(740\) | 2.99329 | − | 21.3831i | 0.110036 | − | 0.786058i | ||||
\(741\) | 15.8167i | 0.581039i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 36.6505i | 1.34457i | 0.740290 | + | 0.672287i | \(0.234688\pi\) | ||||
−0.740290 | + | 0.672287i | \(0.765312\pi\) | |||||||
\(744\) | 3.44087 | − | 16.2535i | 0.126148 | − | 0.595881i | ||||
\(745\) | − | 19.0864i | − | 0.699271i | ||||||
\(746\) | −1.73551 | + | 24.9167i | −0.0635415 | + | 0.912265i | ||||
\(747\) | −16.6265 | −0.608330 | ||||||||
\(748\) | −9.79051 | − | 1.37052i | −0.357976 | − | 0.0501110i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0.934447 | + | 0.0650866i | 0.0341212 | + | 0.00237663i | ||||
\(751\) | 36.1831i | 1.32034i | 0.751116 | + | 0.660170i | \(0.229516\pi\) | ||||
−0.751116 | + | 0.660170i | \(0.770484\pi\) | |||||||
\(752\) | 26.5238 | + | 7.57424i | 0.967223 | + | 0.276204i | ||||
\(753\) | −10.9496 | −0.399024 | ||||||||
\(754\) | −42.7163 | − | 2.97529i | −1.55563 | − | 0.108354i | ||||
\(755\) | 9.60595 | 0.349596 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1.44394 | −0.0524807 | −0.0262404 | − | 0.999656i | \(-0.508354\pi\) | ||||
−0.0262404 | + | 0.999656i | \(0.508354\pi\) | |||||||
\(758\) | 21.2397 | + | 1.47940i | 0.771462 | + | 0.0537342i | ||||
\(759\) | 7.76594 | 0.281886 | ||||||||
\(760\) | −11.3334 | − | 2.39929i | −0.411106 | − | 0.0870314i | ||||
\(761\) | 28.2334i | 1.02346i | 0.859146 | + | 0.511730i | \(0.170995\pi\) | ||||
−0.859146 | + | 0.511730i | \(0.829005\pi\) | |||||||
\(762\) | 15.9022 | + | 1.10763i | 0.576076 | + | 0.0401251i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 3.45891 | − | 24.7093i | 0.125139 | − | 0.893951i | ||||
\(765\) | −3.50416 | −0.126693 | ||||||||
\(766\) | −2.98241 | + | 42.8184i | −0.107759 | + | 1.54709i | ||||
\(767\) | 43.6020i | 1.57438i | ||||||||
\(768\) | −8.99958 | − | 5.59627i | −0.324744 | − | 0.201938i | ||||
\(769\) | − | 38.3866i | − | 1.38426i | −0.721774 | − | 0.692129i | \(-0.756673\pi\) | ||
0.721774 | − | 0.692129i | \(-0.243327\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 4.10328i | − | 0.147776i | ||||||
\(772\) | −37.7608 | − | 5.28592i | −1.35904 | − | 0.190244i | ||||
\(773\) | 19.0817i | 0.686322i | 0.939277 | + | 0.343161i | \(0.111498\pi\) | ||||
−0.939277 | + | 0.343161i | \(0.888502\pi\) | |||||||
\(774\) | 11.2249 | + | 0.781842i | 0.403471 | + | 0.0281027i | ||||
\(775\) | −8.86809 | −0.318551 | ||||||||
\(776\) | −0.949638 | − | 0.201039i | −0.0340900 | − | 0.00721688i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.616928 | + | 8.85722i | −0.0221179 | + | 0.317547i | ||||
\(779\) | 3.41067i | 0.122200i | ||||||||
\(780\) | 7.64883 | + | 1.07072i | 0.273872 | + | 0.0383378i | ||||
\(781\) | −12.7357 | −0.455721 | ||||||||
\(782\) | 0.436281 | − | 6.26369i | 0.0156014 |