Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(61,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.u (of order \(9\), degree \(6\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 24x^{10} + 216x^{8} + 905x^{6} + 1770x^{4} + 1395x^{2} + 361 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 301.2 | ||
Root | \(-1.89323i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.301 |
Dual form | 570.2.u.i.481.2 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | + | 0.642788i | 0.541675 | + | 0.454519i | ||||
\(3\) | −0.939693 | + | 0.342020i | −0.542532 | + | 0.197465i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0.173648 | − | 0.984808i | 0.0776578 | − | 0.440419i | ||||
\(6\) | −0.939693 | − | 0.342020i | −0.383628 | − | 0.139629i | ||||
\(7\) | 0.716948 | + | 1.24179i | 0.270981 | + | 0.469352i | 0.969113 | − | 0.246616i | \(-0.0793187\pi\) |
−0.698132 | + | 0.715969i | \(0.745985\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 0.766044 | − | 0.642788i | 0.255348 | − | 0.214263i | ||||
\(10\) | 0.766044 | − | 0.642788i | 0.242245 | − | 0.203267i | ||||
\(11\) | −2.65664 | + | 4.60144i | −0.801007 | + | 1.38739i | 0.117947 | + | 0.993020i | \(0.462369\pi\) |
−0.918954 | + | 0.394365i | \(0.870965\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | −1.63039 | − | 0.593414i | −0.452189 | − | 0.164583i | 0.105878 | − | 0.994379i | \(-0.466235\pi\) |
−0.558067 | + | 0.829796i | \(0.688457\pi\) | |||||||
\(14\) | −0.248993 | + | 1.41211i | −0.0665463 | + | 0.377403i | ||||
\(15\) | 0.173648 | + | 0.984808i | 0.0448358 | + | 0.254276i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 4.18564 | + | 3.51217i | 1.01517 | + | 0.851827i | 0.989013 | − | 0.147831i | \(-0.0472291\pi\) |
0.0261552 | + | 0.999658i | \(0.491674\pi\) | |||||||
\(18\) | 1.00000 | 0.235702 | ||||||||
\(19\) | 2.91475 | + | 3.24102i | 0.668689 | + | 0.743542i | ||||
\(20\) | 1.00000 | 0.223607 | ||||||||
\(21\) | −1.09843 | − | 0.921690i | −0.239697 | − | 0.201129i | ||||
\(22\) | −4.99285 | + | 1.81725i | −1.06448 | + | 0.387439i | ||||
\(23\) | 0.615435 | + | 3.49031i | 0.128327 | + | 0.727779i | 0.979276 | + | 0.202531i | \(0.0649166\pi\) |
−0.850949 | + | 0.525249i | \(0.823972\pi\) | |||||||
\(24\) | 0.173648 | − | 0.984808i | 0.0354458 | − | 0.201023i | ||||
\(25\) | −0.939693 | − | 0.342020i | −0.187939 | − | 0.0684040i | ||||
\(26\) | −0.867513 | − | 1.50258i | −0.170133 | − | 0.294680i | ||||
\(27\) | −0.500000 | + | 0.866025i | −0.0962250 | + | 0.166667i | ||||
\(28\) | −1.09843 | + | 0.921690i | −0.207583 | + | 0.174183i | ||||
\(29\) | −0.832383 | + | 0.698452i | −0.154570 | + | 0.129699i | −0.716793 | − | 0.697286i | \(-0.754391\pi\) |
0.562223 | + | 0.826986i | \(0.309946\pi\) | |||||||
\(30\) | −0.500000 | + | 0.866025i | −0.0912871 | + | 0.158114i | ||||
\(31\) | −3.02107 | − | 5.23264i | −0.542600 | − | 0.939811i | −0.998754 | − | 0.0499098i | \(-0.984107\pi\) |
0.456154 | − | 0.889901i | \(-0.349227\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | 0.922641 | − | 5.23256i | 0.160611 | − | 0.910872i | ||||
\(34\) | 0.948809 | + | 5.38096i | 0.162719 | + | 0.922827i | ||||
\(35\) | 1.34742 | − | 0.490421i | 0.227756 | − | 0.0828963i | ||||
\(36\) | 0.766044 | + | 0.642788i | 0.127674 | + | 0.107131i | ||||
\(37\) | −0.140332 | −0.0230704 | −0.0115352 | − | 0.999933i | \(-0.503672\pi\) | ||||
−0.0115352 | + | 0.999933i | \(0.503672\pi\) | |||||||
\(38\) | 0.149538 | + | 4.35633i | 0.0242582 | + | 0.706691i | ||||
\(39\) | 1.73503 | 0.277827 | ||||||||
\(40\) | 0.766044 | + | 0.642788i | 0.121122 | + | 0.101634i | ||||
\(41\) | −2.35136 | + | 0.855824i | −0.367220 | + | 0.133657i | −0.519038 | − | 0.854751i | \(-0.673710\pi\) |
0.151817 | + | 0.988409i | \(0.451487\pi\) | |||||||
\(42\) | −0.248993 | − | 1.41211i | −0.0384205 | − | 0.217893i | ||||
\(43\) | −1.98575 | + | 11.2617i | −0.302824 | + | 1.71740i | 0.330752 | + | 0.943718i | \(0.392698\pi\) |
−0.633575 | + | 0.773681i | \(0.718413\pi\) | |||||||
\(44\) | −4.99285 | − | 1.81725i | −0.752701 | − | 0.273961i | ||||
\(45\) | −0.500000 | − | 0.866025i | −0.0745356 | − | 0.129099i | ||||
\(46\) | −1.77208 | + | 3.06933i | −0.261278 | + | 0.452547i | ||||
\(47\) | −1.38732 | + | 1.16410i | −0.202361 | + | 0.169801i | −0.738337 | − | 0.674432i | \(-0.764388\pi\) |
0.535975 | + | 0.844234i | \(0.319944\pi\) | |||||||
\(48\) | 0.766044 | − | 0.642788i | 0.110569 | − | 0.0927784i | ||||
\(49\) | 2.47197 | − | 4.28158i | 0.353139 | − | 0.611654i | ||||
\(50\) | −0.500000 | − | 0.866025i | −0.0707107 | − | 0.122474i | ||||
\(51\) | −5.13445 | − | 1.86879i | −0.718967 | − | 0.261683i | ||||
\(52\) | 0.301284 | − | 1.70867i | 0.0417806 | − | 0.236950i | ||||
\(53\) | 0.911102 | + | 5.16712i | 0.125149 | + | 0.709758i | 0.981219 | + | 0.192897i | \(0.0617884\pi\) |
−0.856069 | + | 0.516861i | \(0.827100\pi\) | |||||||
\(54\) | −0.939693 | + | 0.342020i | −0.127876 | + | 0.0465430i | ||||
\(55\) | 4.07021 | + | 3.41531i | 0.548827 | + | 0.460520i | ||||
\(56\) | −1.43390 | −0.191612 | ||||||||
\(57\) | −3.84746 | − | 2.04866i | −0.509609 | − | 0.271352i | ||||
\(58\) | −1.08660 | −0.142677 | ||||||||
\(59\) | 0.0353643 | + | 0.0296741i | 0.00460403 | + | 0.00386324i | 0.645087 | − | 0.764109i | \(-0.276821\pi\) |
−0.640483 | + | 0.767973i | \(0.721266\pi\) | |||||||
\(60\) | −0.939693 | + | 0.342020i | −0.121314 | + | 0.0441546i | ||||
\(61\) | −2.54926 | − | 14.4576i | −0.326400 | − | 1.85111i | −0.499649 | − | 0.866228i | \(-0.666538\pi\) |
0.173250 | − | 0.984878i | \(-0.444573\pi\) | |||||||
\(62\) | 1.04921 | − | 5.95034i | 0.133249 | − | 0.755694i | ||||
\(63\) | 1.34742 | + | 0.490421i | 0.169759 | + | 0.0617872i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −0.867513 | + | 1.50258i | −0.107602 | + | 0.186372i | ||||
\(66\) | 4.07021 | − | 3.41531i | 0.501008 | − | 0.420396i | ||||
\(67\) | 8.25989 | − | 6.93087i | 1.00911 | − | 0.846740i | 0.0208858 | − | 0.999782i | \(-0.493351\pi\) |
0.988220 | + | 0.153042i | \(0.0489069\pi\) | |||||||
\(68\) | −2.73199 | + | 4.73194i | −0.331302 | + | 0.573832i | ||||
\(69\) | −1.77208 | − | 3.06933i | −0.213333 | − | 0.369503i | ||||
\(70\) | 1.34742 | + | 0.490421i | 0.161048 | + | 0.0586165i | ||||
\(71\) | 1.32319 | − | 7.50416i | 0.157033 | − | 0.890580i | −0.799870 | − | 0.600173i | \(-0.795098\pi\) |
0.956903 | − | 0.290407i | \(-0.0937906\pi\) | |||||||
\(72\) | 0.173648 | + | 0.984808i | 0.0204646 | + | 0.116061i | ||||
\(73\) | 6.93870 | − | 2.52548i | 0.812113 | − | 0.295585i | 0.0976168 | − | 0.995224i | \(-0.468878\pi\) |
0.714496 | + | 0.699639i | \(0.246656\pi\) | |||||||
\(74\) | −0.107500 | − | 0.0902034i | −0.0124966 | − | 0.0104859i | ||||
\(75\) | 1.00000 | 0.115470 | ||||||||
\(76\) | −2.68564 | + | 3.43327i | −0.308065 | + | 0.393823i | ||||
\(77\) | −7.61869 | −0.868230 | ||||||||
\(78\) | 1.32911 | + | 1.11525i | 0.150492 | + | 0.126278i | ||||
\(79\) | 12.3878 | − | 4.50878i | 1.39373 | − | 0.507278i | 0.467422 | − | 0.884034i | \(-0.345183\pi\) |
0.926312 | + | 0.376756i | \(0.122961\pi\) | |||||||
\(80\) | 0.173648 | + | 0.984808i | 0.0194145 | + | 0.110105i | ||||
\(81\) | 0.173648 | − | 0.984808i | 0.0192942 | − | 0.109423i | ||||
\(82\) | −2.35136 | − | 0.855824i | −0.259664 | − | 0.0945100i | ||||
\(83\) | 0.740068 | + | 1.28184i | 0.0812330 | + | 0.140700i | 0.903780 | − | 0.427998i | \(-0.140781\pi\) |
−0.822547 | + | 0.568697i | \(0.807448\pi\) | |||||||
\(84\) | 0.716948 | − | 1.24179i | 0.0782254 | − | 0.135490i | ||||
\(85\) | 4.18564 | − | 3.51217i | 0.453997 | − | 0.380949i | ||||
\(86\) | −8.76008 | + | 7.35058i | −0.944623 | + | 0.792633i | ||||
\(87\) | 0.543299 | − | 0.941022i | 0.0582478 | − | 0.100888i | ||||
\(88\) | −2.65664 | − | 4.60144i | −0.283199 | − | 0.490515i | ||||
\(89\) | 0.953041 | + | 0.346879i | 0.101022 | + | 0.0367691i | 0.392037 | − | 0.919950i | \(-0.371771\pi\) |
−0.291015 | + | 0.956719i | \(0.593993\pi\) | |||||||
\(90\) | 0.173648 | − | 0.984808i | 0.0183041 | − | 0.103808i | ||||
\(91\) | −0.432010 | − | 2.45005i | −0.0452870 | − | 0.256835i | ||||
\(92\) | −3.33041 | + | 1.21217i | −0.347220 | + | 0.126378i | ||||
\(93\) | 4.62855 | + | 3.88381i | 0.479958 | + | 0.402732i | ||||
\(94\) | −1.81102 | −0.186792 | ||||||||
\(95\) | 3.69793 | − | 2.30767i | 0.379399 | − | 0.236762i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | 4.26700 | + | 3.58044i | 0.433248 | + | 0.363538i | 0.833176 | − | 0.553008i | \(-0.186520\pi\) |
−0.399928 | + | 0.916547i | \(0.630965\pi\) | |||||||
\(98\) | 4.64579 | − | 1.69093i | 0.469295 | − | 0.170810i | ||||
\(99\) | 0.922641 | + | 5.23256i | 0.0927290 | + | 0.525892i | ||||
\(100\) | 0.173648 | − | 0.984808i | 0.0173648 | − | 0.0984808i | ||||
\(101\) | −3.67791 | − | 1.33865i | −0.365966 | − | 0.133201i | 0.152490 | − | 0.988305i | \(-0.451271\pi\) |
−0.518456 | + | 0.855104i | \(0.673493\pi\) | |||||||
\(102\) | −2.73199 | − | 4.73194i | −0.270507 | − | 0.468532i | ||||
\(103\) | 7.84408 | − | 13.5864i | 0.772901 | − | 1.33870i | −0.163066 | − | 0.986615i | \(-0.552138\pi\) |
0.935967 | − | 0.352088i | \(-0.114528\pi\) | |||||||
\(104\) | 1.32911 | − | 1.11525i | 0.130330 | − | 0.109360i | ||||
\(105\) | −1.09843 | + | 0.921690i | −0.107196 | + | 0.0899477i | ||||
\(106\) | −2.62341 | + | 4.54389i | −0.254808 | + | 0.441341i | ||||
\(107\) | 6.12921 | + | 10.6161i | 0.592533 | + | 1.02630i | 0.993890 | + | 0.110375i | \(0.0352053\pi\) |
−0.401357 | + | 0.915922i | \(0.631461\pi\) | |||||||
\(108\) | −0.939693 | − | 0.342020i | −0.0904220 | − | 0.0329109i | ||||
\(109\) | −0.120319 | + | 0.682362i | −0.0115245 | + | 0.0653585i | −0.990028 | − | 0.140873i | \(-0.955009\pi\) |
0.978503 | + | 0.206232i | \(0.0661201\pi\) | |||||||
\(110\) | 0.922641 | + | 5.23256i | 0.0879704 | + | 0.498905i | ||||
\(111\) | 0.131869 | − | 0.0479962i | 0.0125164 | − | 0.00455560i | ||||
\(112\) | −1.09843 | − | 0.921690i | −0.103792 | − | 0.0870915i | ||||
\(113\) | 11.4811 | 1.08005 | 0.540024 | − | 0.841649i | \(-0.318415\pi\) | ||||
0.540024 | + | 0.841649i | \(0.318415\pi\) | |||||||
\(114\) | −1.63047 | − | 4.04247i | −0.152708 | − | 0.378612i | ||||
\(115\) | 3.54415 | 0.330494 | ||||||||
\(116\) | −0.832383 | − | 0.698452i | −0.0772848 | − | 0.0648497i | ||||
\(117\) | −1.63039 | + | 0.593414i | −0.150730 | + | 0.0548612i | ||||
\(118\) | 0.00801643 | + | 0.0454634i | 0.000737972 | + | 0.00418525i | ||||
\(119\) | −1.36049 | + | 7.71573i | −0.124716 | + | 0.707300i | ||||
\(120\) | −0.939693 | − | 0.342020i | −0.0857818 | − | 0.0312220i | ||||
\(121\) | −8.61547 | − | 14.9224i | −0.783225 | − | 1.35659i | ||||
\(122\) | 7.34031 | − | 12.7138i | 0.664561 | − | 1.15105i | ||||
\(123\) | 1.91684 | − | 1.60842i | 0.172836 | − | 0.145027i | ||||
\(124\) | 4.62855 | − | 3.88381i | 0.415656 | − | 0.348777i | ||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | 0.716948 | + | 1.24179i | 0.0638708 | + | 0.110627i | ||||
\(127\) | −16.4202 | − | 5.97646i | −1.45706 | − | 0.530325i | −0.512504 | − | 0.858685i | \(-0.671282\pi\) |
−0.944553 | + | 0.328360i | \(0.893504\pi\) | |||||||
\(128\) | 0.173648 | − | 0.984808i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | −1.98575 | − | 11.2617i | −0.174835 | − | 0.991541i | ||||
\(130\) | −1.63039 | + | 0.593414i | −0.142995 | + | 0.0520459i | ||||
\(131\) | 2.95506 | + | 2.47959i | 0.258185 | + | 0.216643i | 0.762687 | − | 0.646768i | \(-0.223880\pi\) |
−0.504502 | + | 0.863410i | \(0.668324\pi\) | |||||||
\(132\) | 5.31328 | 0.462462 | ||||||||
\(133\) | −1.93495 | + | 5.94315i | −0.167781 | + | 0.515336i | ||||
\(134\) | 10.7825 | 0.931467 | ||||||||
\(135\) | 0.766044 | + | 0.642788i | 0.0659306 | + | 0.0553223i | ||||
\(136\) | −5.13445 | + | 1.86879i | −0.440276 | + | 0.160247i | ||||
\(137\) | −2.63525 | − | 14.9452i | −0.225144 | − | 1.27686i | −0.862409 | − | 0.506212i | \(-0.831045\pi\) |
0.637265 | − | 0.770645i | \(-0.280066\pi\) | |||||||
\(138\) | 0.615435 | − | 3.49031i | 0.0523893 | − | 0.297115i | ||||
\(139\) | 12.1385 | + | 4.41805i | 1.02957 | + | 0.374734i | 0.800918 | − | 0.598774i | \(-0.204345\pi\) |
0.228655 | + | 0.973508i | \(0.426567\pi\) | |||||||
\(140\) | 0.716948 | + | 1.24179i | 0.0605931 | + | 0.104950i | ||||
\(141\) | 0.905509 | − | 1.56839i | 0.0762576 | − | 0.132082i | ||||
\(142\) | 5.83720 | − | 4.89799i | 0.489847 | − | 0.411030i | ||||
\(143\) | 7.06192 | − | 5.92566i | 0.590548 | − | 0.495528i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | 0.543299 | + | 0.941022i | 0.0451186 | + | 0.0781476i | ||||
\(146\) | 6.93870 | + | 2.52548i | 0.574251 | + | 0.209010i | ||||
\(147\) | −0.858507 | + | 4.86883i | −0.0708085 | + | 0.401575i | ||||
\(148\) | −0.0243683 | − | 0.138200i | −0.00200306 | − | 0.0113599i | ||||
\(149\) | −16.9809 | + | 6.18055i | −1.39113 | + | 0.506330i | −0.925533 | − | 0.378666i | \(-0.876383\pi\) |
−0.465598 | + | 0.884996i | \(0.654161\pi\) | |||||||
\(150\) | 0.766044 | + | 0.642788i | 0.0625473 | + | 0.0524834i | ||||
\(151\) | −4.64002 | −0.377600 | −0.188800 | − | 0.982016i | \(-0.560460\pi\) | ||||
−0.188800 | + | 0.982016i | \(0.560460\pi\) | |||||||
\(152\) | −4.26418 | + | 0.903735i | −0.345871 | + | 0.0733026i | ||||
\(153\) | 5.46397 | 0.441736 | ||||||||
\(154\) | −5.83625 | − | 4.89720i | −0.470299 | − | 0.394627i | ||||
\(155\) | −5.67775 | + | 2.06653i | −0.456048 | + | 0.165988i | ||||
\(156\) | 0.301284 | + | 1.70867i | 0.0241220 | + | 0.136803i | ||||
\(157\) | −2.77479 | + | 15.7366i | −0.221452 | + | 1.25592i | 0.647900 | + | 0.761726i | \(0.275648\pi\) |
−0.869352 | + | 0.494193i | \(0.835464\pi\) | |||||||
\(158\) | 12.3878 | + | 4.50878i | 0.985519 | + | 0.358700i | ||||
\(159\) | −2.62341 | − | 4.54389i | −0.208050 | − | 0.360354i | ||||
\(160\) | −0.500000 | + | 0.866025i | −0.0395285 | + | 0.0684653i | ||||
\(161\) | −3.89299 | + | 3.26661i | −0.306811 | + | 0.257445i | ||||
\(162\) | 0.766044 | − | 0.642788i | 0.0601861 | − | 0.0505022i | ||||
\(163\) | −1.48313 | + | 2.56886i | −0.116168 | + | 0.201209i | −0.918246 | − | 0.396011i | \(-0.870394\pi\) |
0.802078 | + | 0.597219i | \(0.203728\pi\) | |||||||
\(164\) | −1.25113 | − | 2.16702i | −0.0976969 | − | 0.169216i | ||||
\(165\) | −4.99285 | − | 1.81725i | −0.388693 | − | 0.141473i | ||||
\(166\) | −0.257023 | + | 1.45765i | −0.0199488 | + | 0.113136i | ||||
\(167\) | 4.12042 | + | 23.3681i | 0.318848 | + | 1.80828i | 0.549785 | + | 0.835306i | \(0.314710\pi\) |
−0.230937 | + | 0.972969i | \(0.574179\pi\) | |||||||
\(168\) | 1.34742 | − | 0.490421i | 0.103956 | − | 0.0378368i | ||||
\(169\) | −7.65254 | − | 6.42124i | −0.588657 | − | 0.493942i | ||||
\(170\) | 5.46397 | 0.419067 | ||||||||
\(171\) | 4.31612 | + | 0.609203i | 0.330062 | + | 0.0465869i | ||||
\(172\) | −11.4355 | −0.871946 | ||||||||
\(173\) | −6.33615 | − | 5.31666i | −0.481729 | − | 0.404218i | 0.369322 | − | 0.929301i | \(-0.379590\pi\) |
−0.851051 | + | 0.525083i | \(0.824034\pi\) | |||||||
\(174\) | 1.02107 | − | 0.371639i | 0.0774070 | − | 0.0281739i | ||||
\(175\) | −0.248993 | − | 1.41211i | −0.0188221 | − | 0.106746i | ||||
\(176\) | 0.922641 | − | 5.23256i | 0.0695467 | − | 0.394419i | ||||
\(177\) | −0.0433807 | − | 0.0157893i | −0.00326069 | − | 0.00118679i | ||||
\(178\) | 0.507103 | + | 0.878327i | 0.0380089 | + | 0.0658334i | ||||
\(179\) | 5.19316 | − | 8.99482i | 0.388155 | − | 0.672304i | −0.604046 | − | 0.796949i | \(-0.706446\pi\) |
0.992201 | + | 0.124645i | \(0.0397792\pi\) | |||||||
\(180\) | 0.766044 | − | 0.642788i | 0.0570976 | − | 0.0479106i | ||||
\(181\) | 9.20718 | − | 7.72574i | 0.684365 | − | 0.574250i | −0.232913 | − | 0.972497i | \(-0.574826\pi\) |
0.917278 | + | 0.398247i | \(0.130381\pi\) | |||||||
\(182\) | 1.24392 | − | 2.15454i | 0.0922057 | − | 0.159705i | ||||
\(183\) | 7.34031 | + | 12.7138i | 0.542612 | + | 0.939831i | ||||
\(184\) | −3.33041 | − | 1.21217i | −0.245521 | − | 0.0893624i | ||||
\(185\) | −0.0243683 | + | 0.138200i | −0.00179159 | + | 0.0101606i | ||||
\(186\) | 1.04921 | + | 5.95034i | 0.0769315 | + | 0.436300i | ||||
\(187\) | −27.2808 | + | 9.92940i | −1.99497 | + | 0.726109i | ||||
\(188\) | −1.38732 | − | 1.16410i | −0.101181 | − | 0.0849007i | ||||
\(189\) | −1.43390 | −0.104301 | ||||||||
\(190\) | 4.31612 | + | 0.609203i | 0.313124 | + | 0.0441963i | ||||
\(191\) | −6.40106 | −0.463164 | −0.231582 | − | 0.972815i | \(-0.574390\pi\) | ||||
−0.231582 | + | 0.972815i | \(0.574390\pi\) | |||||||
\(192\) | 0.766044 | + | 0.642788i | 0.0552845 | + | 0.0463892i | ||||
\(193\) | 3.41202 | − | 1.24187i | 0.245603 | − | 0.0893920i | −0.216286 | − | 0.976330i | \(-0.569394\pi\) |
0.461888 | + | 0.886938i | \(0.347172\pi\) | |||||||
\(194\) | 0.967250 | + | 5.48555i | 0.0694445 | + | 0.393839i | ||||
\(195\) | 0.301284 | − | 1.70867i | 0.0215754 | − | 0.122360i | ||||
\(196\) | 4.64579 | + | 1.69093i | 0.331842 | + | 0.120781i | ||||
\(197\) | −4.29259 | − | 7.43499i | −0.305835 | − | 0.529721i | 0.671612 | − | 0.740903i | \(-0.265602\pi\) |
−0.977447 | + | 0.211182i | \(0.932269\pi\) | |||||||
\(198\) | −2.65664 | + | 4.60144i | −0.188799 | + | 0.327010i | ||||
\(199\) | 11.6505 | − | 9.77596i | 0.825884 | − | 0.692999i | −0.128458 | − | 0.991715i | \(-0.541003\pi\) |
0.954342 | + | 0.298716i | \(0.0965583\pi\) | |||||||
\(200\) | 0.766044 | − | 0.642788i | 0.0541675 | − | 0.0454519i | ||||
\(201\) | −5.39126 | + | 9.33793i | −0.380270 | + | 0.658647i | ||||
\(202\) | −1.95698 | − | 3.38958i | −0.137692 | − | 0.238490i | ||||
\(203\) | −1.46411 | − | 0.532891i | −0.102760 | − | 0.0374016i | ||||
\(204\) | 0.948809 | − | 5.38096i | 0.0664299 | − | 0.376743i | ||||
\(205\) | 0.434513 | + | 2.46425i | 0.0303477 | + | 0.172110i | ||||
\(206\) | 14.7421 | − | 5.36567i | 1.02713 | − | 0.373844i | ||||
\(207\) | 2.71498 | + | 2.27814i | 0.188704 | + | 0.158341i | ||||
\(208\) | 1.73503 | 0.120302 | ||||||||
\(209\) | −22.6568 | + | 4.80180i | −1.56720 | + | 0.332147i | ||||
\(210\) | −1.43390 | −0.0989482 | ||||||||
\(211\) | −16.5010 | − | 13.8460i | −1.13598 | − | 0.953198i | −0.136677 | − | 0.990616i | \(-0.543642\pi\) |
−0.999300 | + | 0.0374180i | \(0.988087\pi\) | |||||||
\(212\) | −4.93041 | + | 1.79452i | −0.338622 | + | 0.123248i | ||||
\(213\) | 1.32319 | + | 7.50416i | 0.0906632 | + | 0.514177i | ||||
\(214\) | −2.12865 | + | 12.0722i | −0.145512 | + | 0.825237i | ||||
\(215\) | 10.7458 | + | 3.91116i | 0.732859 | + | 0.266739i | ||||
\(216\) | −0.500000 | − | 0.866025i | −0.0340207 | − | 0.0589256i | ||||
\(217\) | 4.33190 | − | 7.50306i | 0.294068 | − | 0.509341i | ||||
\(218\) | −0.530784 | + | 0.445380i | −0.0359492 | + | 0.0301650i | ||||
\(219\) | −5.65648 | + | 4.74635i | −0.382229 | + | 0.320729i | ||||
\(220\) | −2.65664 | + | 4.60144i | −0.179111 | + | 0.310229i | ||||
\(221\) | −4.74007 | − | 8.21004i | −0.318851 | − | 0.552267i | ||||
\(222\) | 0.131869 | + | 0.0479962i | 0.00885044 | + | 0.00322130i | ||||
\(223\) | −2.26021 | + | 12.8183i | −0.151355 | + | 0.858377i | 0.810688 | + | 0.585479i | \(0.199093\pi\) |
−0.962043 | + | 0.272898i | \(0.912018\pi\) | |||||||
\(224\) | −0.248993 | − | 1.41211i | −0.0166366 | − | 0.0943506i | ||||
\(225\) | −0.939693 | + | 0.342020i | −0.0626462 | + | 0.0228013i | ||||
\(226\) | 8.79502 | + | 7.37989i | 0.585036 | + | 0.490903i | ||||
\(227\) | 23.2710 | 1.54455 | 0.772274 | − | 0.635290i | \(-0.219119\pi\) | ||||
0.772274 | + | 0.635290i | \(0.219119\pi\) | |||||||
\(228\) | 1.34943 | − | 4.14476i | 0.0893685 | − | 0.274493i | ||||
\(229\) | 19.7359 | 1.30419 | 0.652094 | − | 0.758138i | \(-0.273891\pi\) | ||||
0.652094 | + | 0.758138i | \(0.273891\pi\) | |||||||
\(230\) | 2.71498 | + | 2.27814i | 0.179020 | + | 0.150216i | ||||
\(231\) | 7.15922 | − | 2.60574i | 0.471042 | − | 0.171445i | ||||
\(232\) | −0.188686 | − | 1.07009i | −0.0123878 | − | 0.0702549i | ||||
\(233\) | −3.16200 | + | 17.9326i | −0.207149 | + | 1.17480i | 0.686872 | + | 0.726778i | \(0.258983\pi\) |
−0.894021 | + | 0.448024i | \(0.852128\pi\) | |||||||
\(234\) | −1.63039 | − | 0.593414i | −0.106582 | − | 0.0387927i | ||||
\(235\) | 0.905509 | + | 1.56839i | 0.0590689 | + | 0.102310i | ||||
\(236\) | −0.0230824 | + | 0.0399799i | −0.00150254 | + | 0.00260247i | ||||
\(237\) | −10.0986 | + | 8.47374i | −0.655975 | + | 0.550429i | ||||
\(238\) | −6.00178 | + | 5.03609i | −0.389037 | + | 0.326441i | ||||
\(239\) | −9.80915 | + | 16.9899i | −0.634501 | + | 1.09899i | 0.352119 | + | 0.935955i | \(0.385461\pi\) |
−0.986621 | + | 0.163033i | \(0.947872\pi\) | |||||||
\(240\) | −0.500000 | − | 0.866025i | −0.0322749 | − | 0.0559017i | ||||
\(241\) | 0.386400 | + | 0.140638i | 0.0248902 | + | 0.00905929i | 0.354435 | − | 0.935081i | \(-0.384673\pi\) |
−0.329545 | + | 0.944140i | \(0.606895\pi\) | |||||||
\(242\) | 2.99212 | − | 16.9692i | 0.192341 | − | 1.09082i | ||||
\(243\) | 0.173648 | + | 0.984808i | 0.0111395 | + | 0.0631754i | ||||
\(244\) | 13.7953 | − | 5.02107i | 0.883152 | − | 0.321441i | ||||
\(245\) | −3.78728 | − | 3.17791i | −0.241961 | − | 0.203029i | ||||
\(246\) | 2.50226 | 0.159538 | ||||||||
\(247\) | −2.82891 | − | 7.01379i | −0.180000 | − | 0.446277i | ||||
\(248\) | 6.04214 | 0.383676 | ||||||||
\(249\) | −1.13385 | − | 0.951413i | −0.0718548 | − | 0.0602934i | ||||
\(250\) | −0.939693 | + | 0.342020i | −0.0594314 | + | 0.0216313i | ||||
\(251\) | 2.43828 | + | 13.8282i | 0.153903 | + | 0.872828i | 0.959782 | + | 0.280747i | \(0.0905823\pi\) |
−0.805879 | + | 0.592081i | \(0.798307\pi\) | |||||||
\(252\) | −0.248993 | + | 1.41211i | −0.0156851 | + | 0.0889546i | ||||
\(253\) | −17.6954 | − | 6.44061i | −1.11250 | − | 0.404917i | ||||
\(254\) | −8.73700 | − | 15.1329i | −0.548208 | − | 0.949525i | ||||
\(255\) | −2.73199 | + | 4.73194i | −0.171084 | + | 0.296325i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 24.0590 | − | 20.1879i | 1.50076 | − | 1.25929i | 0.621055 | − | 0.783767i | \(-0.286704\pi\) |
0.879705 | − | 0.475520i | \(-0.157740\pi\) | |||||||
\(258\) | 5.71773 | − | 9.90340i | 0.355971 | − | 0.616559i | ||||
\(259\) | −0.100610 | − | 0.174262i | −0.00625163 | − | 0.0108281i | ||||
\(260\) | −1.63039 | − | 0.593414i | −0.101113 | − | 0.0368020i | ||||
\(261\) | −0.188686 | + | 1.07009i | −0.0116794 | + | 0.0662370i | ||||
\(262\) | 0.669858 | + | 3.79895i | 0.0413839 | + | 0.234700i | ||||
\(263\) | −5.30375 | + | 1.93041i | −0.327043 | + | 0.119034i | −0.500324 | − | 0.865839i | \(-0.666786\pi\) |
0.173280 | + | 0.984873i | \(0.444563\pi\) | |||||||
\(264\) | 4.07021 | + | 3.41531i | 0.250504 | + | 0.210198i | ||||
\(265\) | 5.24683 | 0.322310 | ||||||||
\(266\) | −5.30244 | + | 3.30896i | −0.325113 | + | 0.202885i | ||||
\(267\) | −1.01421 | −0.0620683 | ||||||||
\(268\) | 8.25989 | + | 6.93087i | 0.504553 | + | 0.423370i | ||||
\(269\) | −14.1023 | + | 5.13280i | −0.859830 | + | 0.312952i | −0.734041 | − | 0.679105i | \(-0.762368\pi\) |
−0.125788 | + | 0.992057i | \(0.540146\pi\) | |||||||
\(270\) | 0.173648 | + | 0.984808i | 0.0105679 | + | 0.0599335i | ||||
\(271\) | −3.56699 | + | 20.2294i | −0.216679 | + | 1.22885i | 0.661290 | + | 0.750130i | \(0.270009\pi\) |
−0.877969 | + | 0.478717i | \(0.841102\pi\) | |||||||
\(272\) | −5.13445 | − | 1.86879i | −0.311322 | − | 0.113312i | ||||
\(273\) | 1.24392 | + | 2.15454i | 0.0752857 | + | 0.130399i | ||||
\(274\) | 7.58789 | − | 13.1426i | 0.458401 | − | 0.793974i | ||||
\(275\) | 4.07021 | − | 3.41531i | 0.245443 | − | 0.205951i | ||||
\(276\) | 2.71498 | − | 2.27814i | 0.163422 | − | 0.137128i | ||||
\(277\) | 7.24076 | − | 12.5414i | 0.435055 | − | 0.753537i | −0.562245 | − | 0.826971i | \(-0.690062\pi\) |
0.997300 | + | 0.0734333i | \(0.0233956\pi\) | |||||||
\(278\) | 6.45875 | + | 11.1869i | 0.387370 | + | 0.670945i | ||||
\(279\) | −5.67775 | − | 2.06653i | −0.339918 | − | 0.123720i | ||||
\(280\) | −0.248993 | + | 1.41211i | −0.0148802 | + | 0.0843898i | ||||
\(281\) | −1.75981 | − | 9.98037i | −0.104981 | − | 0.595379i | −0.991228 | − | 0.132165i | \(-0.957807\pi\) |
0.886246 | − | 0.463214i | \(-0.153304\pi\) | |||||||
\(282\) | 1.70180 | − | 0.619405i | 0.101341 | − | 0.0368850i | ||||
\(283\) | −9.61798 | − | 8.07045i | −0.571730 | − | 0.479738i | 0.310490 | − | 0.950577i | \(-0.399507\pi\) |
−0.882219 | + | 0.470838i | \(0.843951\pi\) | |||||||
\(284\) | 7.61992 | 0.452159 | ||||||||
\(285\) | −2.68564 | + | 3.43327i | −0.159084 | + | 0.203369i | ||||
\(286\) | 9.21868 | 0.545112 | ||||||||
\(287\) | −2.74855 | − | 2.30631i | −0.162242 | − | 0.136137i | ||||
\(288\) | −0.939693 | + | 0.342020i | −0.0553719 | + | 0.0201537i | ||||
\(289\) | 2.23224 | + | 12.6597i | 0.131308 | + | 0.744687i | ||||
\(290\) | −0.188686 | + | 1.07009i | −0.0110800 | + | 0.0628379i | ||||
\(291\) | −5.23425 | − | 1.90511i | −0.306837 | − | 0.111680i | ||||
\(292\) | 3.69200 | + | 6.39474i | 0.216058 | + | 0.374224i | ||||
\(293\) | 4.87184 | − | 8.43827i | 0.284616 | − | 0.492969i | −0.687900 | − | 0.725805i | \(-0.741467\pi\) |
0.972516 | + | 0.232836i | \(0.0748006\pi\) | |||||||
\(294\) | −3.78728 | + | 3.17791i | −0.220879 | + | 0.185339i | ||||
\(295\) | 0.0353643 | − | 0.0296741i | 0.00205899 | − | 0.00172770i | ||||
\(296\) | 0.0701658 | − | 0.121531i | 0.00407830 | − | 0.00706383i | ||||
\(297\) | −2.65664 | − | 4.60144i | −0.154154 | − | 0.267002i | ||||
\(298\) | −16.9809 | − | 6.18055i | −0.983678 | − | 0.358030i | ||||
\(299\) | 1.06780 | − | 6.05578i | 0.0617523 | − | 0.350215i | ||||
\(300\) | 0.173648 | + | 0.984808i | 0.0100256 | + | 0.0568579i | ||||
\(301\) | −15.4084 | + | 5.60819i | −0.888125 | + | 0.323251i | ||||
\(302\) | −3.55446 | − | 2.98255i | −0.204536 | − | 0.171626i | ||||
\(303\) | 3.91396 | 0.224851 | ||||||||
\(304\) | −3.84746 | − | 2.04866i | −0.220667 | − | 0.117499i | ||||
\(305\) | −14.6806 | −0.840610 | ||||||||
\(306\) | 4.18564 | + | 3.51217i | 0.239277 | + | 0.200778i | ||||
\(307\) | −26.8352 | + | 9.76722i | −1.53157 | + | 0.557445i | −0.964005 | − | 0.265886i | \(-0.914336\pi\) |
−0.567562 | + | 0.823331i | \(0.692113\pi\) | |||||||
\(308\) | −1.32297 | − | 7.50294i | −0.0753833 | − | 0.427520i | ||||
\(309\) | −2.72422 | + | 15.4498i | −0.154976 | + | 0.878910i | ||||
\(310\) | −5.67775 | − | 2.06653i | −0.322475 | − | 0.117371i | ||||
\(311\) | −12.1936 | − | 21.1200i | −0.691438 | − | 1.19760i | −0.971367 | − | 0.237584i | \(-0.923644\pi\) |
0.279929 | − | 0.960021i | \(-0.409689\pi\) | |||||||
\(312\) | −0.867513 | + | 1.50258i | −0.0491133 | + | 0.0850667i | ||||
\(313\) | 0.621302 | − | 0.521335i | 0.0351181 | − | 0.0294676i | −0.625060 | − | 0.780577i | \(-0.714925\pi\) |
0.660178 | + | 0.751109i | \(0.270481\pi\) | |||||||
\(314\) | −12.2409 | + | 10.2713i | −0.690795 | + | 0.579646i | ||||
\(315\) | 0.716948 | − | 1.24179i | 0.0403954 | − | 0.0699669i | ||||
\(316\) | 6.59140 | + | 11.4166i | 0.370795 | + | 0.642236i | ||||
\(317\) | −6.12473 | − | 2.22922i | −0.343999 | − | 0.125205i | 0.164242 | − | 0.986420i | \(-0.447482\pi\) |
−0.508242 | + | 0.861215i | \(0.669704\pi\) | |||||||
\(318\) | 0.911102 | − | 5.16712i | 0.0510921 | − | 0.289758i | ||||
\(319\) | −1.00254 | − | 5.68569i | −0.0561315 | − | 0.318338i | ||||
\(320\) | −0.939693 | + | 0.342020i | −0.0525304 | + | 0.0191195i | ||||
\(321\) | −9.39049 | − | 7.87956i | −0.524126 | − | 0.439794i | ||||
\(322\) | −5.08194 | −0.283206 | ||||||||
\(323\) | 0.817070 | + | 23.8029i | 0.0454630 | + | 1.32443i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 1.32911 | + | 1.11525i | 0.0737256 | + | 0.0618631i | ||||
\(326\) | −2.78738 | + | 1.01452i | −0.154378 | + | 0.0561892i | ||||
\(327\) | −0.120319 | − | 0.682362i | −0.00665365 | − | 0.0377347i | ||||
\(328\) | 0.434513 | − | 2.46425i | 0.0239920 | − | 0.136065i | ||||
\(329\) | −2.44020 | − | 0.888161i | −0.134533 | − | 0.0489659i | ||||
\(330\) | −2.65664 | − | 4.60144i | −0.146243 | − | 0.253301i | ||||
\(331\) | 3.61301 | − | 6.25792i | 0.198589 | − | 0.343966i | −0.749482 | − | 0.662025i | \(-0.769697\pi\) |
0.948071 | + | 0.318058i | \(0.103031\pi\) | |||||||
\(332\) | −1.13385 | + | 0.951413i | −0.0622281 | + | 0.0522156i | ||||
\(333\) | −0.107500 | + | 0.0902034i | −0.00589098 | + | 0.00494312i | ||||
\(334\) | −11.8643 | + | 20.5495i | −0.649184 | + | 1.12442i | ||||
\(335\) | −5.39126 | − | 9.33793i | −0.294556 | − | 0.510186i | ||||
\(336\) | 1.34742 | + | 0.490421i | 0.0735078 | + | 0.0267547i | ||||
\(337\) | −3.53848 | + | 20.0677i | −0.192753 | + | 1.09316i | 0.722829 | + | 0.691027i | \(0.242841\pi\) |
−0.915582 | + | 0.402131i | \(0.868270\pi\) | |||||||
\(338\) | −1.73469 | − | 9.83792i | −0.0943547 | − | 0.535112i | ||||
\(339\) | −10.7887 | + | 3.92676i | −0.585961 | + | 0.213272i | ||||
\(340\) | 4.18564 | + | 3.51217i | 0.226998 | + | 0.190474i | ||||
\(341\) | 32.1036 | 1.73851 | ||||||||
\(342\) | 2.91475 | + | 3.24102i | 0.157612 | + | 0.175254i | ||||
\(343\) | 17.1264 | 0.924737 | ||||||||
\(344\) | −8.76008 | − | 7.35058i | −0.472312 | − | 0.396317i | ||||
\(345\) | −3.33041 | + | 1.21217i | −0.179303 | + | 0.0652611i | ||||
\(346\) | −1.43629 | − | 8.14560i | −0.0772154 | − | 0.437910i | ||||
\(347\) | −1.53985 | + | 8.73293i | −0.0826636 | + | 0.468808i | 0.915173 | + | 0.403062i | \(0.132054\pi\) |
−0.997836 | + | 0.0657466i | \(0.979057\pi\) | |||||||
\(348\) | 1.02107 | + | 0.371639i | 0.0547350 | + | 0.0199219i | ||||
\(349\) | 16.6468 | + | 28.8330i | 0.891081 | + | 1.54340i | 0.838581 | + | 0.544776i | \(0.183385\pi\) |
0.0524993 | + | 0.998621i | \(0.483281\pi\) | |||||||
\(350\) | 0.716948 | − | 1.24179i | 0.0383225 | − | 0.0663765i | ||||
\(351\) | 1.32911 | − | 1.11525i | 0.0709425 | − | 0.0595278i | ||||
\(352\) | 4.07021 | − | 3.41531i | 0.216943 | − | 0.182037i | ||||
\(353\) | 6.78495 | − | 11.7519i | 0.361127 | − | 0.625490i | −0.627020 | − | 0.779003i | \(-0.715726\pi\) |
0.988147 | + | 0.153514i | \(0.0490589\pi\) | |||||||
\(354\) | −0.0230824 | − | 0.0399799i | −0.00122681 | − | 0.00212491i | ||||
\(355\) | −7.16039 | − | 2.60617i | −0.380034 | − | 0.138321i | ||||
\(356\) | −0.176115 | + | 0.998797i | −0.00933407 | + | 0.0529361i | ||||
\(357\) | −1.36049 | − | 7.71573i | −0.0720049 | − | 0.408360i | ||||
\(358\) | 9.75995 | − | 3.55233i | 0.515829 | − | 0.187746i | ||||
\(359\) | −13.4845 | − | 11.3148i | −0.711684 | − | 0.597174i | 0.213387 | − | 0.976968i | \(-0.431551\pi\) |
−0.925071 | + | 0.379794i | \(0.875995\pi\) | |||||||
\(360\) | 1.00000 | 0.0527046 | ||||||||
\(361\) | −2.00847 | + | 18.8935i | −0.105709 | + | 0.994397i | ||||
\(362\) | 12.0191 | 0.631711 | ||||||||
\(363\) | 13.1997 | + | 11.0758i | 0.692803 | + | 0.581331i | ||||
\(364\) | 2.33781 | − | 0.850894i | 0.122535 | − | 0.0445989i | ||||
\(365\) | −1.28222 | − | 7.27183i | −0.0671144 | − | 0.380625i | ||||
\(366\) | −2.54926 | + | 14.4576i | −0.133252 | + | 0.755711i | ||||
\(367\) | 33.1459 | + | 12.0641i | 1.73020 | + | 0.629743i | 0.998645 | − | 0.0520364i | \(-0.0165712\pi\) |
0.731558 | + | 0.681779i | \(0.238793\pi\) | |||||||
\(368\) | −1.77208 | − | 3.06933i | −0.0923758 | − | 0.160000i | ||||
\(369\) | −1.25113 | + | 2.16702i | −0.0651313 | + | 0.112811i | ||||
\(370\) | −0.107500 | + | 0.0902034i | −0.00558867 | + | 0.00468945i | ||||
\(371\) | −5.76326 | + | 4.83595i | −0.299214 | + | 0.251070i | ||||
\(372\) | −3.02107 | + | 5.23264i | −0.156635 | + | 0.271300i | ||||
\(373\) | −8.29673 | − | 14.3704i | −0.429588 | − | 0.744069i | 0.567248 | − | 0.823547i | \(-0.308008\pi\) |
−0.996837 | + | 0.0794780i | \(0.974675\pi\) | |||||||
\(374\) | −27.2808 | − | 9.92940i | −1.41066 | − | 0.513437i | ||||
\(375\) | 0.173648 | − | 0.984808i | 0.00896715 | − | 0.0508553i | ||||
\(376\) | −0.314480 | − | 1.78350i | −0.0162181 | − | 0.0919772i | ||||
\(377\) | 1.77158 | − | 0.644803i | 0.0912411 | − | 0.0332091i | ||||
\(378\) | −1.09843 | − | 0.921690i | −0.0564970 | − | 0.0474066i | ||||
\(379\) | −8.19765 | −0.421085 | −0.210542 | − | 0.977585i | \(-0.567523\pi\) | ||||
−0.210542 | + | 0.977585i | \(0.567523\pi\) | |||||||
\(380\) | 2.91475 | + | 3.24102i | 0.149523 | + | 0.166261i | ||||
\(381\) | 17.4740 | 0.895221 | ||||||||
\(382\) | −4.90350 | − | 4.11452i | −0.250885 | − | 0.210517i | ||||
\(383\) | 18.0815 | − | 6.58113i | 0.923922 | − | 0.336280i | 0.164124 | − | 0.986440i | \(-0.447520\pi\) |
0.759798 | + | 0.650160i | \(0.225298\pi\) | |||||||
\(384\) | 0.173648 | + | 0.984808i | 0.00886145 | + | 0.0502558i | ||||
\(385\) | −1.32297 | + | 7.50294i | −0.0674249 | + | 0.382385i | ||||
\(386\) | 3.41202 | + | 1.24187i | 0.173667 | + | 0.0632097i | ||||
\(387\) | 5.71773 | + | 9.90340i | 0.290649 | + | 0.503418i | ||||
\(388\) | −2.78509 | + | 4.82391i | −0.141391 | + | 0.244897i | ||||
\(389\) | −7.06314 | + | 5.92667i | −0.358115 | + | 0.300494i | −0.804039 | − | 0.594577i | \(-0.797320\pi\) |
0.445924 | + | 0.895071i | \(0.352875\pi\) | |||||||
\(390\) | 1.32911 | − | 1.11525i | 0.0673020 | − | 0.0564731i | ||||
\(391\) | −9.68257 | + | 16.7707i | −0.489669 | + | 0.848131i | ||||
\(392\) | 2.47197 | + | 4.28158i | 0.124853 | + | 0.216253i | ||||
\(393\) | −3.62492 | − | 1.31936i | −0.182853 | − | 0.0665530i | ||||
\(394\) | 1.49080 | − | 8.45476i | 0.0751055 | − | 0.425944i | ||||
\(395\) | −2.28917 | − | 12.9825i | −0.115181 | − | 0.653222i | ||||
\(396\) | −4.99285 | + | 1.81725i | −0.250900 | + | 0.0913202i | ||||
\(397\) | 17.5721 | + | 14.7447i | 0.881918 | + | 0.740017i | 0.966572 | − | 0.256394i | \(-0.0825343\pi\) |
−0.0846549 | + | 0.996410i | \(0.526979\pi\) | |||||||
\(398\) | 15.2087 | 0.762343 | ||||||||
\(399\) | −0.214421 | − | 6.24653i | −0.0107345 | − | 0.312717i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | 19.1669 | + | 16.0829i | 0.957150 | + | 0.803144i | 0.980487 | − | 0.196584i | \(-0.0629847\pi\) |
−0.0233374 | + | 0.999728i | \(0.507429\pi\) | |||||||
\(402\) | −10.1322 | + | 3.68784i | −0.505351 | + | 0.183933i | ||||
\(403\) | 1.82040 | + | 10.3240i | 0.0906806 | + | 0.514275i | ||||
\(404\) | 0.679651 | − | 3.85449i | 0.0338139 | − | 0.191768i | ||||
\(405\) | −0.939693 | − | 0.342020i | −0.0466937 | − | 0.0169951i | ||||
\(406\) | −0.779035 | − | 1.34933i | −0.0386628 | − | 0.0669660i | ||||
\(407\) | 0.372811 | − | 0.645727i | 0.0184795 | − | 0.0320075i | ||||
\(408\) | 4.18564 | − | 3.51217i | 0.207220 | − | 0.173878i | ||||
\(409\) | −27.0621 | + | 22.7078i | −1.33814 | + | 1.12283i | −0.356034 | + | 0.934473i | \(0.615871\pi\) |
−0.982101 | + | 0.188356i | \(0.939684\pi\) | |||||||
\(410\) | −1.25113 | + | 2.16702i | −0.0617890 | + | 0.107022i | ||||
\(411\) | 7.58789 | + | 13.1426i | 0.374283 | + | 0.648277i | ||||
\(412\) | 14.7421 | + | 5.36567i | 0.726289 | + | 0.264348i | ||||
\(413\) | −0.0114947 | + | 0.0651898i | −0.000565618 | + | 0.00320778i | ||||
\(414\) | 0.615435 | + | 3.49031i | 0.0302470 | + | 0.171539i | ||||
\(415\) | 1.39087 | − | 0.506236i | 0.0682753 | − | 0.0248502i | ||||
\(416\) | 1.32911 | + | 1.11525i | 0.0651649 | + | 0.0546798i | ||||
\(417\) | −12.9175 | −0.632573 | ||||||||
\(418\) | −20.4427 | − | 10.8851i | −0.999883 | − | 0.532409i | ||||
\(419\) | 21.5220 | 1.05142 | 0.525708 | − | 0.850665i | \(-0.323800\pi\) | ||||
0.525708 | + | 0.850665i | \(0.323800\pi\) | |||||||
\(420\) | −1.09843 | − | 0.921690i | −0.0535978 | − | 0.0449739i | ||||
\(421\) | 7.23331 | − | 2.63271i | 0.352530 | − | 0.128310i | −0.159684 | − | 0.987168i | \(-0.551048\pi\) |
0.512214 | + | 0.858858i | \(0.328825\pi\) | |||||||
\(422\) | −3.74048 | − | 21.2133i | −0.182084 | − | 1.03265i | ||||
\(423\) | −0.314480 | + | 1.78350i | −0.0152905 | + | 0.0867170i | ||||
\(424\) | −4.93041 | − | 1.79452i | −0.239442 | − | 0.0871496i | ||||
\(425\) | −2.73199 | − | 4.73194i | −0.132521 | − | 0.229533i | ||||
\(426\) | −3.80996 | + | 6.59905i | −0.184593 | + | 0.319725i | ||||
\(427\) | 16.1256 | − | 13.5310i | 0.780373 | − | 0.654811i | ||||
\(428\) | −9.39049 | + | 7.87956i | −0.453906 | + | 0.380873i | ||||
\(429\) | −4.60934 | + | 7.98361i | −0.222541 | + | 0.385453i | ||||
\(430\) | 5.71773 | + | 9.90340i | 0.275734 | + | 0.477585i | ||||
\(431\) | 2.13677 | + | 0.777722i | 0.102925 | + | 0.0374615i | 0.392969 | − | 0.919552i | \(-0.371448\pi\) |
−0.290045 | + | 0.957013i | \(0.593670\pi\) | |||||||
\(432\) | 0.173648 | − | 0.984808i | 0.00835465 | − | 0.0473816i | ||||
\(433\) | 1.01926 | + | 5.78053i | 0.0489827 | + | 0.277794i | 0.999455 | − | 0.0330151i | \(-0.0105110\pi\) |
−0.950472 | + | 0.310810i | \(0.899400\pi\) | |||||||
\(434\) | 8.14130 | − | 2.96319i | 0.390795 | − | 0.142238i | ||||
\(435\) | −0.832383 | − | 0.698452i | −0.0399097 | − | 0.0334882i | ||||
\(436\) | −0.692889 | −0.0331834 | ||||||||
\(437\) | −9.51833 | + | 12.1680i | −0.455323 | + | 0.582075i | ||||
\(438\) | −7.38401 | −0.352822 | ||||||||
\(439\) | 24.6986 | + | 20.7246i | 1.17880 | + | 0.989131i | 0.999986 | + | 0.00524811i | \(0.00167053\pi\) |
0.178814 | + | 0.983883i | \(0.442774\pi\) | |||||||
\(440\) | −4.99285 | + | 1.81725i | −0.238025 | + | 0.0866339i | ||||
\(441\) | −0.858507 | − | 4.86883i | −0.0408813 | − | 0.231849i | ||||
\(442\) | 1.64621 | − | 9.33611i | 0.0783021 | − | 0.444074i | ||||
\(443\) | −4.08232 | − | 1.48584i | −0.193957 | − | 0.0705946i | 0.243215 | − | 0.969972i | \(-0.421798\pi\) |
−0.437172 | + | 0.899378i | \(0.644020\pi\) | |||||||
\(444\) | 0.0701658 | + | 0.121531i | 0.00332992 | + | 0.00576759i | ||||
\(445\) | 0.507103 | − | 0.878327i | 0.0240390 | − | 0.0416367i | ||||
\(446\) | −9.97087 | + | 8.36655i | −0.472134 | + | 0.396168i | ||||
\(447\) | 13.8430 | − | 11.6156i | 0.654750 | − | 0.549401i | ||||
\(448\) | 0.716948 | − | 1.24179i | 0.0338726 | − | 0.0586691i | ||||
\(449\) | −7.18796 | − | 12.4499i | −0.339221 | − | 0.587548i | 0.645065 | − | 0.764127i | \(-0.276830\pi\) |
−0.984286 | + | 0.176579i | \(0.943497\pi\) | |||||||
\(450\) | −0.939693 | − | 0.342020i | −0.0442975 | − | 0.0161230i | ||||
\(451\) | 2.30869 | − | 13.0932i | 0.108712 | − | 0.616536i | ||||
\(452\) | 1.99367 | + | 11.3067i | 0.0937743 | + | 0.531820i | ||||
\(453\) | 4.36019 | − | 1.58698i | 0.204860 | − | 0.0745629i | ||||
\(454\) | 17.8266 | + | 14.9583i | 0.836643 | + | 0.702027i | ||||
\(455\) | −2.48785 | −0.116632 | ||||||||
\(456\) | 3.69793 | − | 2.30767i | 0.173171 | − | 0.108067i | ||||
\(457\) | 22.3068 | 1.04347 | 0.521734 | − | 0.853108i | \(-0.325285\pi\) | ||||
0.521734 | + | 0.853108i | \(0.325285\pi\) | |||||||
\(458\) | 15.1186 | + | 12.6860i | 0.706446 | + | 0.592779i | ||||
\(459\) | −5.13445 | + | 1.86879i | −0.239656 | + | 0.0872276i | ||||
\(460\) | 0.615435 | + | 3.49031i | 0.0286948 | + | 0.162736i | ||||
\(461\) | 1.42393 | − | 8.07553i | 0.0663192 | − | 0.376115i | −0.933526 | − | 0.358510i | \(-0.883285\pi\) |
0.999845 | − | 0.0176048i | \(-0.00560408\pi\) | |||||||
\(462\) | 7.15922 | + | 2.60574i | 0.333077 | + | 0.121230i | ||||
\(463\) | −13.5841 | − | 23.5284i | −0.631307 | − | 1.09346i | −0.987285 | − | 0.158962i | \(-0.949185\pi\) |
0.355978 | − | 0.934494i | \(-0.384148\pi\) | |||||||
\(464\) | 0.543299 | − | 0.941022i | 0.0252220 | − | 0.0436859i | ||||
\(465\) | 4.62855 | − | 3.88381i | 0.214644 | − | 0.180107i | ||||
\(466\) | −13.9491 | + | 11.7047i | −0.646178 | + | 0.542208i | ||||
\(467\) | −19.4982 | + | 33.7718i | −0.902267 | + | 1.56277i | −0.0777228 | + | 0.996975i | \(0.524765\pi\) |
−0.824544 | + | 0.565797i | \(0.808568\pi\) | |||||||
\(468\) | −0.867513 | − | 1.50258i | −0.0401008 | − | 0.0694567i | ||||
\(469\) | 14.5286 | + | 5.28797i | 0.670868 | + | 0.244176i | ||||
\(470\) | −0.314480 | + | 1.78350i | −0.0145059 | + | 0.0822669i | ||||
\(471\) | −2.77479 | − | 15.7366i | −0.127856 | − | 0.725105i | ||||
\(472\) | −0.0433807 | + | 0.0157893i | −0.00199676 | + | 0.000726760i | ||||
\(473\) | −46.5447 | − | 39.0557i | −2.14013 | − | 1.79578i | ||||
\(474\) | −13.1828 | −0.605506 | ||||||||
\(475\) | −1.63047 | − | 4.04247i | −0.0748112 | − | 0.185481i | ||||
\(476\) | −7.83476 | −0.359106 | ||||||||
\(477\) | 4.01930 | + | 3.37260i | 0.184031 | + | 0.154421i | ||||
\(478\) | −18.4352 | + | 6.70985i | −0.843205 | + | 0.306902i | ||||
\(479\) | −5.90600 | − | 33.4946i | −0.269852 | − | 1.53041i | −0.754853 | − | 0.655894i | \(-0.772292\pi\) |
0.485001 | − | 0.874513i | \(-0.338819\pi\) | |||||||
\(480\) | 0.173648 | − | 0.984808i | 0.00792592 | − | 0.0449501i | ||||
\(481\) | 0.228795 | + | 0.0832747i | 0.0104322 | + | 0.00379700i | ||||
\(482\) | 0.205599 | + | 0.356108i | 0.00936477 | + | 0.0162203i | ||||
\(483\) | 2.54097 | − | 4.40109i | 0.115618 | − | 0.200257i | ||||
\(484\) | 13.1997 | − | 11.0758i | 0.599985 | − | 0.503447i | ||||
\(485\) | 4.26700 | − | 3.58044i | 0.193754 | − | 0.162579i | ||||
\(486\) | −0.500000 | + | 0.866025i | −0.0226805 | + | 0.0392837i | ||||
\(487\) | −15.6290 | − | 27.0702i | −0.708216 | − | 1.22667i | −0.965518 | − | 0.260335i | \(-0.916167\pi\) |
0.257303 | − | 0.966331i | \(-0.417166\pi\) | |||||||
\(488\) | 13.7953 | + | 5.02107i | 0.624483 | + | 0.227293i | ||||
\(489\) | 0.515086 | − | 2.92120i | 0.0232930 | − | 0.132101i | ||||
\(490\) | −0.858507 | − | 4.86883i | −0.0387834 | − | 0.219952i | ||||
\(491\) | 27.0907 | − | 9.86022i | 1.22259 | − | 0.444986i | 0.351535 | − | 0.936175i | \(-0.385660\pi\) |
0.871053 | + | 0.491189i | \(0.163438\pi\) | |||||||
\(492\) | 1.91684 | + | 1.60842i | 0.0864180 | + | 0.0725133i | ||||
\(493\) | −5.93714 | −0.267396 | ||||||||
\(494\) | 2.34130 | − | 7.19127i | 0.105340 | − | 0.323550i | ||||
\(495\) | 5.31328 | 0.238814 | ||||||||
\(496\) | 4.62855 | + | 3.88381i | 0.207828 | + | 0.174388i | ||||
\(497\) | 10.2672 | − | 3.73697i | 0.460549 | − | 0.167626i | ||||
\(498\) | −0.257023 | − | 1.45765i | −0.0115175 | − | 0.0653188i | ||||
\(499\) | 0.724834 | − | 4.11074i | 0.0324480 | − | 0.184022i | −0.964276 | − | 0.264900i | \(-0.914661\pi\) |
0.996724 | + | 0.0808776i | \(0.0257723\pi\) | |||||||
\(500\) | −0.939693 | − | 0.342020i | −0.0420243 | − | 0.0152956i | ||||
\(501\) | −11.8643 | − | 20.5495i | −0.530057 | − | 0.918085i | ||||
\(502\) | −7.02076 | + | 12.1603i | −0.313352 | + | 0.542741i | ||||
\(503\) | 0.418200 | − | 0.350911i | 0.0186466 | − | 0.0156464i | −0.633417 | − | 0.773811i | \(-0.718348\pi\) |
0.652063 | + | 0.758165i | \(0.273904\pi\) | |||||||
\(504\) | −1.09843 | + | 0.921690i | −0.0489278 | + | 0.0410553i | ||||
\(505\) | −1.95698 | + | 3.38958i | −0.0870844 | + | 0.150835i | ||||
\(506\) | −9.41554 | − | 16.3082i | −0.418572 | − | 0.724987i | ||||
\(507\) | 9.38723 | + | 3.41667i | 0.416902 | + | 0.151740i | ||||
\(508\) | 3.03433 | − | 17.2085i | 0.134627 | − | 0.763505i | ||||
\(509\) | −1.29218 | − | 7.32833i | −0.0572750 | − | 0.324822i | 0.942686 | − | 0.333682i | \(-0.108291\pi\) |
−0.999961 | + | 0.00885930i | \(0.997180\pi\) | |||||||
\(510\) | −5.13445 | + | 1.86879i | −0.227357 | + | 0.0827513i | ||||
\(511\) | 8.11080 | + | 6.80577i | 0.358801 | + | 0.301069i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −4.26418 | + | 0.903735i | −0.188268 | + | 0.0399009i | ||||
\(514\) | 31.4068 | 1.38529 | ||||||||
\(515\) | −12.0178 | − | 10.0842i | −0.529569 | − | 0.444361i | ||||
\(516\) | 10.7458 | − | 3.91116i | 0.473059 | − | 0.172179i | ||||
\(517\) | −1.67092 | − | 9.47626i | −0.0734870 | − | 0.416765i | ||||
\(518\) | 0.0349416 | − | 0.198164i | 0.00153525 | − | 0.00870682i | ||||
\(519\) | 7.77244 | + | 2.82894i | 0.341172 | + | 0.124177i | ||||
\(520\) | −0.867513 | − | 1.50258i | −0.0380430 | − | 0.0658924i | ||||
\(521\) | 17.7985 | − | 30.8278i | 0.779765 | − | 1.35059i | −0.152312 | − | 0.988332i | \(-0.548672\pi\) |
0.932077 | − | 0.362260i | \(-0.117995\pi\) | |||||||
\(522\) | −0.832383 | + | 0.698452i | −0.0364324 | + | 0.0305704i | ||||
\(523\) | −21.6909 | + | 18.2009i | −0.948478 | + | 0.795868i | −0.979041 | − | 0.203665i | \(-0.934715\pi\) |
0.0305623 | + | 0.999533i | \(0.490270\pi\) | |||||||
\(524\) | −1.92878 | + | 3.34074i | −0.0842591 | + | 0.145941i | ||||
\(525\) | 0.716948 | + | 1.24179i | 0.0312902 | + | 0.0541961i | ||||
\(526\) | −5.30375 | − | 1.93041i | −0.231255 | − | 0.0841698i | ||||
\(527\) | 5.73283 | − | 32.5125i | 0.249726 | − | 1.41627i | ||||
\(528\) | 0.922641 | + | 5.23256i | 0.0401528 | + | 0.227718i | ||||
\(529\) | 9.80944 | − | 3.57035i | 0.426498 | − | 0.155232i | ||||
\(530\) | 4.01930 | + | 3.37260i | 0.174587 | + | 0.146496i | ||||
\(531\) | 0.0461648 | 0.00200338 | ||||||||
\(532\) | −6.18886 | − | 0.873534i | −0.268321 | − | 0.0378725i | ||||
\(533\) | 4.34149 | 0.188051 | ||||||||
\(534\) | −0.776926 | − | 0.651918i | −0.0336209 | − | 0.0282113i | ||||
\(535\) | 11.5191 | − | 4.19262i | 0.498016 | − | 0.181263i | ||||
\(536\) | 1.87236 | + | 10.6187i | 0.0808738 | + | 0.458658i | ||||
\(537\) | −1.80357 | + | 10.2285i | −0.0778296 | + | 0.441394i | ||||
\(538\) | −14.1023 | − | 5.13280i | −0.607991 | − | 0.221291i | ||||
\(539\) | 13.1343 | + | 22.7492i | 0.565734 | + | 0.979879i | ||||
\(540\) | −0.500000 | + | 0.866025i | −0.0215166 | + | 0.0372678i | ||||
\(541\) | 22.2243 | − | 18.6484i | 0.955496 | − | 0.801756i | −0.0247188 | − | 0.999694i | \(-0.507869\pi\) |
0.980214 | + | 0.197938i | \(0.0634246\pi\) | |||||||
\(542\) | −15.7357 | + | 13.2038i | −0.675905 | + | 0.567152i | ||||
\(543\) | −6.00956 | + | 10.4089i | −0.257895 | + | 0.446687i | ||||
\(544\) | −2.73199 | − | 4.73194i | −0.117133 | − | 0.202880i | ||||
\(545\) | 0.651103 | + | 0.236982i | 0.0278902 | + | 0.0101512i | ||||
\(546\) | −0.432010 | + | 2.45005i | −0.0184883 | + | 0.104852i | ||||
\(547\) | 2.71780 | + | 15.4134i | 0.116205 | + | 0.659031i | 0.986147 | + | 0.165876i | \(0.0530452\pi\) |
−0.869942 | + | 0.493155i | \(0.835844\pi\) | |||||||
\(548\) | 14.2606 | − | 5.19042i | 0.609182 | − | 0.221724i | ||||
\(549\) | −11.2460 | − | 9.43653i | −0.479968 | − | 0.402741i | ||||
\(550\) | 5.31328 | 0.226559 | ||||||||
\(551\) | −4.68989 | − | 0.661960i | −0.199796 | − | 0.0282004i | ||||
\(552\) | 3.54415 | 0.150849 | ||||||||
\(553\) | 14.4804 | + | 12.1505i | 0.615767 | + | 0.516690i | ||||
\(554\) | 13.6082 | − | 4.95297i | 0.578156 | − | 0.210432i | ||||
\(555\) | −0.0243683 | − | 0.138200i | −0.00103438 | − | 0.00586625i | ||||
\(556\) | −2.24310 | + | 12.7213i | −0.0951287 | + | 0.539502i | ||||
\(557\) | 18.9290 | + | 6.88958i | 0.802046 | + | 0.291921i | 0.710334 | − | 0.703864i | \(-0.248544\pi\) |
0.0917122 | + | 0.995786i | \(0.470766\pi\) | |||||||
\(558\) | −3.02107 | − | 5.23264i | −0.127892 | − | 0.221516i | ||||
\(559\) | 9.92042 | − | 17.1827i | 0.419589 | − | 0.726750i | ||||
\(560\) | −1.09843 | + | 0.921690i | −0.0464170 | + | 0.0389485i | ||||
\(561\) | 22.2395 | − | 18.6612i | 0.938953 | − | 0.787875i | ||||
\(562\) | 5.06717 | − | 8.77659i | 0.213746 | − | 0.370218i | ||||
\(563\) | −23.3484 | − | 40.4406i | −0.984017 | − | 1.70437i | −0.646224 | − | 0.763148i | \(-0.723653\pi\) |
−0.337793 | − | 0.941220i | \(-0.609680\pi\) | |||||||
\(564\) | 1.70180 | + | 0.619405i | 0.0716587 | + | 0.0260816i | ||||
\(565\) | 1.99367 | − | 11.3067i | 0.0838742 | − | 0.475675i | ||||
\(566\) | −2.18022 | − | 12.3646i | −0.0916415 | − | 0.519725i | ||||
\(567\) | 1.34742 | − | 0.490421i | 0.0565864 | − | 0.0205957i | ||||
\(568\) | 5.83720 | + | 4.89799i | 0.244923 | + | 0.205515i | ||||
\(569\) | 39.7476 | 1.66630 | 0.833152 | − | 0.553043i | \(-0.186534\pi\) | ||||
0.833152 | + | 0.553043i | \(0.186534\pi\) | |||||||
\(570\) | −4.26418 | + | 0.903735i | −0.178607 | + | 0.0378533i | ||||
\(571\) | −42.8539 | −1.79338 | −0.896689 | − | 0.442661i | \(-0.854035\pi\) | ||||
−0.896689 | + | 0.442661i | \(0.854035\pi\) | |||||||
\(572\) | 7.06192 | + | 5.92566i | 0.295274 | + | 0.247764i | ||||
\(573\) | 6.01503 | − | 2.18929i | 0.251281 | − | 0.0914589i | ||||
\(574\) | −0.623047 | − | 3.53347i | −0.0260055 | − | 0.147484i | ||||
\(575\) | 0.615435 | − | 3.49031i | 0.0256654 | − | 0.145556i | ||||
\(576\) | −0.939693 | − | 0.342020i | −0.0391539 | − | 0.0142508i | ||||
\(577\) | −1.48303 | − | 2.56868i | −0.0617394 | − | 0.106936i | 0.833504 | − | 0.552514i | \(-0.186331\pi\) |
−0.895243 | + | 0.445578i | \(0.852998\pi\) | |||||||
\(578\) | −6.42749 | + | 11.1327i | −0.267348 | + | 0.463061i | ||||
\(579\) | −2.78150 | + | 2.33396i | −0.115595 | + | 0.0969961i | ||||
\(580\) | −0.832383 | + | 0.698452i | −0.0345628 | + | 0.0290017i | ||||
\(581\) | −1.06118 | + | 1.83802i | −0.0440252 | + | 0.0762538i | ||||
\(582\) | −2.78509 | − | 4.82391i | −0.115445 | − | 0.199957i | ||||
\(583\) | −26.1966 | − | 9.53479i | −1.08495 | − | 0.394891i | ||||
\(584\) | −1.28222 | + | 7.27183i | −0.0530586 | + | 0.300910i | ||||
\(585\) | 0.301284 | + | 1.70867i | 0.0124566 | + | 0.0706447i | ||||
\(586\) | 9.15606 | − | 3.33253i | 0.378233 | − | 0.137666i | ||||
\(587\) | −6.51221 | − | 5.46439i | −0.268788 | − | 0.225540i | 0.498424 | − | 0.866933i | \(-0.333912\pi\) |
−0.767212 | + | 0.641394i | \(0.778357\pi\) | |||||||
\(588\) | −4.94394 | −0.203885 | ||||||||
\(589\) | 8.15347 | − | 25.0432i | 0.335958 | − | 1.03189i | ||||
\(590\) | 0.0461648 | 0.00190057 | ||||||||
\(591\) | 6.57663 | + | 5.51845i | 0.270527 | + | 0.226999i | ||||
\(592\) | 0.131869 | − | 0.0479962i | 0.00541976 | − | 0.00197263i | ||||
\(593\) | −3.43193 | − | 19.4634i | −0.140932 | − | 0.799267i | −0.970544 | − | 0.240926i | \(-0.922549\pi\) |
0.829611 | − | 0.558341i | \(-0.188562\pi\) | |||||||
\(594\) | 0.922641 | − | 5.23256i | 0.0378564 | − | 0.214695i | ||||
\(595\) | 7.36227 | + | 2.67965i | 0.301824 | + | 0.109855i | ||||
\(596\) | −9.03536 | − | 15.6497i | −0.370103 | − | 0.641037i | ||||
\(597\) | −7.60434 | + | 13.1711i | −0.311225 | + | 0.539058i | ||||
\(598\) | 4.71056 | − | 3.95263i | 0.192629 | − | 0.161635i | ||||
\(599\) | 5.39092 | − | 4.52352i | 0.220267 | − | 0.184826i | −0.525976 | − | 0.850499i | \(-0.676300\pi\) |
0.746243 | + | 0.665673i | \(0.231856\pi\) | |||||||
\(600\) | −0.500000 | + | 0.866025i | −0.0204124 | + | 0.0353553i | ||||
\(601\) | 8.57641 | + | 14.8548i | 0.349839 | + | 0.605939i | 0.986221 | − | 0.165435i | \(-0.0529029\pi\) |
−0.636382 | + | 0.771374i | \(0.719570\pi\) | |||||||
\(602\) | −15.4084 | − | 5.60819i | −0.627999 | − | 0.228573i | ||||
\(603\) | 1.87236 | − | 10.6187i | 0.0762486 | − | 0.432427i | ||||
\(604\) | −0.805731 | − | 4.56953i | −0.0327847 | − | 0.185932i | ||||
\(605\) | −16.1918 | + | 5.89333i | −0.658290 | + | 0.239598i | ||||
\(606\) | 2.99826 | + | 2.51584i | 0.121796 | + | 0.102199i | ||||
\(607\) | −9.90071 | −0.401857 | −0.200929 | − | 0.979606i | \(-0.564396\pi\) | ||||
−0.200929 | + | 0.979606i | \(0.564396\pi\) | |||||||
\(608\) | −1.63047 | − | 4.04247i | −0.0661244 | − | 0.163944i | ||||
\(609\) | 1.55807 | 0.0631361 | ||||||||
\(610\) | −11.2460 | − | 9.43653i | −0.455338 | − | 0.382074i | ||||
\(611\) | 2.95267 | − | 1.07468i | 0.119452 | − | 0.0434771i | ||||
\(612\) | 0.948809 | + | 5.38096i | 0.0383533 | + | 0.217512i | ||||
\(613\) | −2.47786 | + | 14.0527i | −0.100080 | + | 0.567582i | 0.892992 | + | 0.450073i | \(0.148602\pi\) |
−0.993072 | + | 0.117509i | \(0.962509\pi\) | |||||||
\(614\) | −26.8352 | − | 9.76722i | −1.08298 | − | 0.394173i | ||||
\(615\) | −1.25113 | − | 2.16702i | −0.0504505 | − | 0.0873828i | ||||
\(616\) | 3.80934 | − | 6.59798i | 0.153483 | − | 0.265840i | ||||
\(617\) | 4.73341 | − | 3.97181i | 0.190560 | − | 0.159899i | −0.542516 | − | 0.840045i | \(-0.682528\pi\) |
0.733076 | + | 0.680146i | \(0.238084\pi\) | |||||||
\(618\) | −12.0178 | + | 10.0842i | −0.483428 | + | 0.405644i | ||||
\(619\) | −5.92825 | + | 10.2680i | −0.238276 | + | 0.412707i | −0.960220 | − | 0.279245i | \(-0.909916\pi\) |
0.721943 | + | 0.691952i | \(0.243249\pi\) | |||||||
\(620\) | −3.02107 | − | 5.23264i | −0.121329 | − | 0.210148i | ||||
\(621\) | −3.33041 | − | 1.21217i | −0.133645 | − | 0.0486428i | ||||
\(622\) | 4.23480 | − | 24.0168i | 0.169800 | − | 0.962985i | ||||
\(623\) | 0.252530 | + | 1.43217i | 0.0101174 | + | 0.0573787i | ||||
\(624\) | −1.63039 | + | 0.593414i | −0.0652679 | + | 0.0237556i | ||||
\(625\) | 0.766044 | + | 0.642788i | 0.0306418 | + | 0.0257115i | ||||
\(626\) | 0.811053 | 0.0324162 | ||||||||
\(627\) | 19.6481 | − | 12.2613i | 0.784670 | − | 0.489669i | ||||
\(628\) | −15.9794 | −0.637647 | ||||||||
\(629\) | −0.587378 | − | 0.492869i | −0.0234203 | − | 0.0196520i | ||||
\(630\) | 1.34742 | − | 0.490421i | 0.0536825 | − | 0.0195388i | ||||
\(631\) | −3.03599 | − | 17.2180i | −0.120861 | − | 0.685437i | −0.983680 | − | 0.179925i | \(-0.942415\pi\) |
0.862819 | − | 0.505512i | \(-0.168696\pi\) | |||||||
\(632\) | −2.28917 | + | 12.9825i | −0.0910583 | + | 0.516417i | ||||
\(633\) | 20.2415 | + | 7.36730i | 0.804527 | + | 0.292824i | ||||
\(634\) | −3.25890 | − | 5.64458i | −0.129428 | − | 0.224175i | ||||
\(635\) | −8.73700 | + | 15.1329i | −0.346717 | + | 0.600532i | ||||
\(636\) | 4.01930 | − | 3.37260i | 0.159376 | − | 0.133732i | ||||
\(637\) | −6.57103 | + | 5.51375i | −0.260354 | + | 0.218463i | ||||
\(638\) | 2.88670 | − | 4.99992i | 0.114286 | − | 0.197949i | ||||
\(639\) | −3.80996 | − | 6.59905i | −0.150720 | − | 0.261054i | ||||
\(640\) | −0.939693 | − | 0.342020i | −0.0371446 | − | 0.0135195i | ||||
\(641\) | −7.31471 | + | 41.4838i | −0.288914 | + | 1.63851i | 0.402047 | + | 0.915619i | \(0.368299\pi\) |
−0.690961 | + | 0.722892i | \(0.742812\pi\) | |||||||
\(642\) | −2.12865 | − | 12.0722i | −0.0840112 | − | 0.476451i | ||||
\(643\) | −34.3778 | + | 12.5125i | −1.35573 | + | 0.493445i | −0.914731 | − | 0.404062i | \(-0.867598\pi\) |
−0.440999 | + | 0.897508i | \(0.645376\pi\) | |||||||
\(644\) | −3.89299 | − | 3.26661i | −0.153405 | − | 0.128722i | ||||
\(645\) | −11.4355 | −0.450271 | ||||||||
\(646\) | −14.6743 | + | 18.7593i | −0.577352 | + | 0.738073i | ||||
\(647\) | 19.7202 | 0.775281 | 0.387641 | − | 0.921811i | \(-0.373290\pi\) | ||||
0.387641 | + | 0.921811i | \(0.373290\pi\) | |||||||
\(648\) | 0.766044 | + | 0.642788i | 0.0300931 | + | 0.0252511i | ||||
\(649\) | −0.230494 | + | 0.0838929i | −0.00904767 | + | 0.00329308i | ||||
\(650\) | 0.301284 | + | 1.70867i | 0.0118173 | + | 0.0670195i | ||||
\(651\) | −1.50445 | + | 8.53217i | −0.0589641 | + | 0.334402i | ||||
\(652\) | −2.78738 | − | 1.01452i | −0.109162 | − | 0.0397317i | ||||
\(653\) | −4.58783 | − | 7.94635i | −0.179536 | − | 0.310965i | 0.762186 | − | 0.647358i | \(-0.224126\pi\) |
−0.941722 | + | 0.336393i | \(0.890793\pi\) | |||||||
\(654\) | 0.346444 | − | 0.600059i | 0.0135470 | − | 0.0234642i | ||||
\(655\) | 2.95506 | − | 2.47959i | 0.115464 | − | 0.0968856i | ||||
\(656\) | 1.91684 | − | 1.60842i | 0.0748402 | − | 0.0627984i | ||||
\(657\) | 3.69200 | − | 6.39474i | 0.144039 | − | 0.249483i | ||||
\(658\) | −1.29841 | − | 2.24890i | −0.0506171 | − | 0.0876714i | ||||
\(659\) | 33.2077 | + | 12.0866i | 1.29359 | + | 0.470827i | 0.894903 | − | 0.446261i | \(-0.147245\pi\) |
0.398684 | + | 0.917088i | \(0.369467\pi\) | |||||||
\(660\) | 0.922641 | − | 5.23256i | 0.0359138 | − | 0.203677i | ||||
\(661\) | −5.55684 | − | 31.5144i | −0.216136 | − | 1.22577i | −0.878924 | − | 0.476962i | \(-0.841738\pi\) |
0.662788 | − | 0.748807i | \(-0.269373\pi\) | |||||||
\(662\) | 6.79024 | − | 2.47144i | 0.263910 | − | 0.0960554i | ||||
\(663\) | 7.26221 | + | 6.09371i | 0.282041 | + | 0.236660i | ||||
\(664\) | −1.48014 | −0.0574404 | ||||||||
\(665\) | 5.51686 | + | 2.93757i | 0.213935 | + | 0.113914i | ||||
\(666\) | −0.140332 | −0.00543774 | ||||||||
\(667\) | −2.95009 | − | 2.47542i | −0.114228 | − | 0.0958487i | ||||
\(668\) | −22.2975 | + | 8.11564i | −0.862718 | + | 0.314004i | ||||
\(669\) | −2.26021 | − | 12.8183i | −0.0873849 | − | 0.495584i | ||||
\(670\) | 1.87236 | − | 10.6187i | 0.0723357 | − | 0.410236i | ||||
\(671\) | 73.2982 | + | 26.6784i | 2.82965 | + | 1.02991i | ||||
\(672\) | 0.716948 | + | 1.24179i | 0.0276569 | + | 0.0479031i | ||||
\(673\) | 15.8600 | − | 27.4703i | 0.611358 | − | 1.05890i | −0.379654 | − | 0.925128i | \(-0.623957\pi\) |
0.991012 | − | 0.133774i | \(-0.0427096\pi\) | |||||||
\(674\) | −15.6099 | + | 13.0983i | −0.601271 | + | 0.504526i | ||||
\(675\) | 0.766044 | − | 0.642788i | 0.0294851 | − | 0.0247409i | ||||
\(676\) | 4.99484 | − | 8.65132i | 0.192109 | − | 0.332743i | ||||
\(677\) | 5.69130 | + | 9.85763i | 0.218735 | + | 0.378859i | 0.954421 | − | 0.298463i | \(-0.0964738\pi\) |
−0.735687 | + | 0.677322i | \(0.763140\pi\) | |||||||
\(678\) | −10.7887 | − | 3.92676i | −0.414337 | − | 0.150806i | ||||
\(679\) | −1.38694 | + | 7.86570i | −0.0532257 | + | 0.301858i | ||||
\(680\) | 0.948809 | + | 5.38096i | 0.0363851 | + | 0.206350i | ||||
\(681\) | −21.8676 | + | 7.95914i | −0.837966 | + | 0.304995i | ||||
\(682\) | 24.5928 | + | 20.6358i | 0.941706 | + | 0.790185i | ||||
\(683\) | 1.84635 | 0.0706485 | 0.0353243 | − | 0.999376i | \(-0.488754\pi\) | ||||
0.0353243 | + | 0.999376i | \(0.488754\pi\) | |||||||
\(684\) | 0.149538 | + | 4.35633i | 0.00571772 | + | 0.166569i | ||||
\(685\) | −15.1758 | −0.579837 | ||||||||
\(686\) | 13.1196 | + | 11.0086i | 0.500907 | + | 0.420311i | ||||
\(687\) | −18.5457 | + | 6.75009i | −0.707563 | + | 0.257532i | ||||
\(688\) | −1.98575 | − | 11.2617i | −0.0757059 | − | 0.429350i | ||||
\(689\) | 1.58079 | − | 8.96509i | 0.0602232 | − | 0.341543i | ||||
\(690\) | −3.33041 | − | 1.21217i | −0.126787 | − | 0.0461466i | ||||
\(691\) | 3.39642 | + | 5.88276i | 0.129206 | + | 0.223791i | 0.923369 | − | 0.383913i | \(-0.125424\pi\) |
−0.794163 | + | 0.607704i | \(0.792091\pi\) | |||||||
\(692\) | 4.13563 | − | 7.16312i | 0.157213 | − | 0.272301i | ||||
\(693\) | −5.83625 | + | 4.89720i | −0.221701 | + | 0.186029i | ||||
\(694\) | −6.79302 | + | 5.70002i | −0.257859 | + | 0.216370i | ||||
\(695\) | 6.45875 | − | 11.1869i | 0.244994 | − | 0.424343i | ||||
\(696\) | 0.543299 | + | 0.941022i | 0.0205937 | + | 0.0356694i | ||||
\(697\) | −12.8477 | − | 4.67620i | −0.486643 | − | 0.177124i | ||||
\(698\) | −5.78136 | + | 32.7877i | −0.218828 | + | 1.24103i | ||||
\(699\) | −3.16200 | − | 17.9326i | −0.119598 | − | 0.678273i | ||||
\(700\) | 1.34742 | − | 0.490421i | 0.0509277 | − | 0.0185362i | ||||
\(701\) | 4.98347 | + | 4.18163i | 0.188223 | + | 0.157938i | 0.732030 | − | 0.681273i | \(-0.238573\pi\) |
−0.543807 | + | 0.839210i | \(0.683018\pi\) | |||||||
\(702\) | 1.73503 | 0.0654844 | ||||||||
\(703\) | −0.409031 | − | 0.454818i | −0.0154269 | − | 0.0171538i | ||||
\(704\) | 5.31328 | 0.200252 | ||||||||
\(705\) | −1.38732 | − | 1.16410i | −0.0522495 | − | 0.0438425i | ||||
\(706\) | 12.7515 | − | 4.64118i | 0.479910 | − | 0.174673i | ||||
\(707\) | −0.974549 | − | 5.52694i | −0.0366517 | − | 0.207862i | ||||
\(708\) | 0.00801643 | − | 0.0454634i | 0.000301276 | − | 0.00170862i | ||||
\(709\) | 9.08053 | + | 3.30504i | 0.341026 | + | 0.124123i | 0.506855 | − | 0.862031i | \(-0.330808\pi\) |
−0.165829 | + | 0.986155i | \(0.553030\pi\) | |||||||
\(710\) | −3.80996 | − | 6.59905i | −0.142985 | − | 0.247658i | ||||
\(711\) | 6.59140 | − | 11.4166i | 0.247197 | − | 0.428158i | ||||
\(712\) | −0.776926 | + | 0.651918i | −0.0291165 | + | 0.0244317i | ||||
\(713\) | 16.4043 | − | 13.7648i | 0.614345 | − | 0.515496i | ||||
\(714\) | 3.91738 | − | 6.78510i | 0.146604 | − | 0.253926i | ||||
\(715\) | −4.60934 | − | 7.98361i | −0.172380 | − | 0.298570i | ||||
\(716\) | 9.75995 | + | 3.55233i | 0.364746 | + | 0.132757i | ||||
\(717\) | 3.40668 | − | 19.3203i | 0.127225 | − | 0.721528i | ||||
\(718\) | −3.05669 | − | 17.3353i | −0.114075 | − | 0.646949i | ||||
\(719\) | 26.5263 | − | 9.65477i | 0.989263 | − | 0.360062i | 0.203828 | − | 0.979007i | \(-0.434662\pi\) |
0.785435 | + | 0.618944i | \(0.212439\pi\) | |||||||
\(720\) | 0.766044 | + | 0.642788i | 0.0285488 | + | 0.0239553i | ||||
\(721\) | 22.4952 | 0.837765 | ||||||||
\(722\) | −13.6831 | + | 13.1823i | −0.509233 | + | 0.490593i | ||||
\(723\) | −0.411198 | −0.0152926 | ||||||||
\(724\) | 9.20718 | + | 7.72574i | 0.342182 | + | 0.287125i | ||||
\(725\) | 1.02107 | − | 0.371639i | 0.0379216 | − | 0.0138023i | ||||
\(726\) | 2.99212 | + | 16.9692i | 0.111048 | + | 0.629785i | ||||
\(727\) | 0.439877 | − | 2.49466i | 0.0163141 | − | 0.0925220i | −0.975564 | − | 0.219717i | \(-0.929486\pi\) |
0.991878 | + | 0.127195i | \(0.0405976\pi\) | |||||||
\(728\) | 2.33781 | + | 0.850894i | 0.0866451 | + | 0.0315362i | ||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | 3.69200 | − | 6.39474i | 0.136647 | − | 0.236680i | ||||
\(731\) | −47.8648 | + | 40.1633i | −1.77034 | + | 1.48549i | ||||
\(732\) | −11.2460 | + | 9.43653i | −0.415665 | + | 0.348784i | ||||
\(733\) | 0.364686 | − | 0.631655i | 0.0134700 | − | 0.0233307i | −0.859212 | − | 0.511620i | \(-0.829046\pi\) |
0.872682 | + | 0.488289i | \(0.162379\pi\) | |||||||
\(734\) | 17.6366 | + | 30.5475i | 0.650978 | + | 1.12753i | ||||
\(735\) | 4.64579 | + | 1.69093i | 0.171362 | + | 0.0623708i | ||||
\(736\) | 0.615435 | − | 3.49031i | 0.0226853 | − | 0.128654i | ||||
\(737\) | 9.94839 | + | 56.4202i | 0.366454 | + | 2.07826i | ||||
\(738\) | −2.35136 | + | 0.855824i | −0.0865547 | + | 0.0315033i | ||||
\(739\) | 15.4710 | + | 12.9817i | 0.569110 | + | 0.477540i | 0.881350 | − | 0.472463i | \(-0.156635\pi\) |
−0.312240 | + | 0.950003i | \(0.601079\pi\) | |||||||
\(740\) | −0.140332 | −0.00515869 | ||||||||
\(741\) | 5.05717 | + | 5.62326i | 0.185780 | + | 0.206576i | ||||
\(742\) | −7.52340 | −0.276193 | ||||||||
\(743\) | −18.6422 | − | 15.6426i | −0.683915 | − | 0.573873i | 0.233232 | − | 0.972421i | \(-0.425070\pi\) |
−0.917147 | + | 0.398548i | \(0.869514\pi\) | |||||||
\(744\) | −5.67775 | + | 2.06653i | −0.208157 | + | 0.0757628i | ||||
\(745\) | 3.13795 | + | 17.7962i | 0.114966 | + | 0.652002i | ||||
\(746\) | 2.88142 | − | 16.3414i | 0.105496 | − | 0.598300i | ||||
\(747\) | 1.39087 | + | 0.506236i | 0.0508894 | + | 0.0185222i | ||||
\(748\) | −14.5158 | − | 25.1421i | −0.530750 | − | 0.919287i | ||||
\(749\) | −8.78864 | + | 15.2224i | −0.321130 | + | 0.556213i | ||||
\(750\) | 0.766044 | − | 0.642788i | 0.0279720 | − | 0.0234713i | ||||
\(751\) | −9.87603 | + | 8.28697i | −0.360381 | + | 0.302396i | −0.804943 | − | 0.593352i | \(-0.797804\pi\) |
0.444561 | + | 0.895748i | \(0.353360\pi\) | |||||||
\(752\) | 0.905509 | − | 1.56839i | 0.0330205 | − | 0.0571932i | ||||
\(753\) | −7.02076 | − | 12.1603i | −0.255851 | − | 0.443146i | ||||
\(754\) | 1.77158 | + | 0.644803i | 0.0645172 | + | 0.0234823i | ||||
\(755\) | −0.805731 | + | 4.56953i | −0.0293236 | + | 0.166302i | ||||
\(756\) | −0.248993 | − | 1.41211i | −0.00905580 | − | 0.0513580i | ||||
\(757\) | 23.5070 | − | 8.55585i | 0.854376 | − | 0.310968i | 0.122553 | − | 0.992462i | \(-0.460892\pi\) |
0.731823 | + | 0.681494i | \(0.238670\pi\) | |||||||
\(758\) | −6.27976 | − | 5.26935i | −0.228091 | − | 0.191391i | ||||
\(759\) | 18.8311 | 0.683525 | ||||||||
\(760\) | 0.149538 | + | 4.35633i | 0.00542430 | + | 0.158021i | ||||
\(761\) | −31.4296 | −1.13932 | −0.569662 | − | 0.821879i | \(-0.692926\pi\) | ||||
−0.569662 | + | 0.821879i | \(0.692926\pi\) | |||||||
\(762\) | 13.3859 | + | 11.2321i | 0.484919 | + | 0.406895i | ||||
\(763\) | −0.933613 | + | 0.339807i | −0.0337991 | + | 0.0123019i | ||||
\(764\) | −1.11153 | − | 6.30381i | −0.0402138 | − | 0.228064i | ||||
\(765\) | 0.948809 | − | 5.38096i | 0.0343042 | − | 0.194549i | ||||
\(766\) | 18.0815 | + | 6.58113i | 0.653311 | + | 0.237786i | ||||
\(767\) | −0.0400486 | − | 0.0693661i | −0.00144607 | − | 0.00250467i | ||||
\(768\) | −0.500000 | + | 0.866025i | −0.0180422 | + | 0.0312500i | ||||
\(769\) | −7.88958 | + | 6.62014i | −0.284506 | + | 0.238729i | −0.773860 | − | 0.633356i | \(-0.781677\pi\) |
0.489355 | + | 0.872085i | \(0.337232\pi\) | |||||||
\(770\) | −5.83625 | + | 4.89720i | −0.210324 | + | 0.176483i | ||||
\(771\) | −15.7034 | + | 27.1991i | −0.565544 | + | 0.979551i | ||||
\(772\) | 1.81550 | + | 3.14454i | 0.0653412 | + | 0.113174i | ||||
\(773\) | −41.1526 | − | 14.9783i | −1.48016 | − | 0.538733i | −0.529319 | − | 0.848423i | \(-0.677552\pi\) |
−0.950838 | + | 0.309690i | \(0.899775\pi\) | |||||||
\(774\) | −1.98575 | + | 11.2617i | −0.0713762 | + | 0.404795i | ||||
\(775\) | 1.04921 | + | 5.95034i | 0.0376886 | + | 0.213743i | ||||
\(776\) | −5.23425 | + | 1.90511i | −0.187899 | + | 0.0683895i | ||||
\(777\) | 0.154144 | + | 0.129342i | 0.00552989 | + | 0.00464013i | ||||
\(778\) | −9.22027 | −0.330563 | ||||||||
\(779\) | −9.62736 | − | 5.12629i | −0.344936 | − | 0.183668i | ||||
\(780\) | 1.73503 | 0.0621239 | ||||||||
\(781\) | 31.0147 | + | 26.0244i | 1.10979 | + | 0.931227i | ||||
\(782\) | −18.1973 | + | 6.62327i | −0.650733 | + | 0.236848i | ||||
\(783\) | −0.188686 | − | 1.07009i | −0.00674308 | − | 0.0382419i | ||||
\(784\) | −0.858507 | + | 4.86883i | −0.0306610 | + | 0.173887i | ||||
\(785\) | 15.0157 | + | 5.46527i | 0.535933 | + | 0.195064i | ||||
\(786\) | −1.92878 | − | 3.34074i | −0.0687972 | − | 0.119160i | ||||
\(787\) | 12.0766 | − | 20.9173i | 0.430485 | − | 0.745622i | −0.566430 | − | 0.824110i | \(-0.691676\pi\) |
0.996915 | + | 0.0784880i | \(0.0250092\pi\) | |||||||
\(788\) | 6.57663 | − | 5.51845i | 0.234283 | − | 0.196587i | ||||
\(789\) | 4.32366 | − | 3.62798i | 0.153926 | − | 0.129160i | ||||
\(790\) | 6.59140 | − | 11.4166i | 0.234512 | − | 0.406186i | ||||
\(791\) | 8.23133 | + | 14.2571i | 0.292672 | + | 0.506924i | ||||
\(792\) | −4.99285 | − | 1.81725i | −0.177413 | − | 0.0645731i | ||||
\(793\) | −4.42304 | + | 25.0843i | −0.157067 | + | 0.890770i | ||||
\(794\) | 3.98327 | + | 22.5902i | 0.141361 | + | 0.801697i | ||||
\(795\) | −4.93041 | + | 1.79452i | −0.174863 | + | 0.0636451i | ||||
\(796\) | 11.6505 | + | 9.77596i | 0.412942 | + | 0.346500i | ||||
\(797\) | −21.6138 | −0.765600 | −0.382800 | − | 0.923831i | \(-0.625040\pi\) | ||||
−0.382800 | + | 0.923831i | \(0.625040\pi\) | |||||||
\(798\) | 3.85093 | − | 4.92294i | 0.136322 | − | 0.174270i | ||||
\(799\) | −9.89535 | −0.350072 | ||||||||
\(800\) | 0.766044 | + | 0.642788i | 0.0270838 | + | 0.0227260i | ||||
\(801\) | 0.953041 | − | 0.346879i | 0.0336740 | − | 0.0122564i | ||||
\(802\) | 4.34479 | + | 24.6405i | 0.153420 | + | 0.870086i | ||||
\(803\) | −6.81279 | + | 38.6373i | −0.240418 | + | 1.36348i | ||||
\(804\) | −10.1322 | − | 3.68784i | −0.357337 | − | 0.130060i | ||||
\(805\) | 2.54097 | + | 4.40109i | 0.0895575 | + | 0.155118i | ||||
\(806\) | −5.24164 | + | 9.07878i | −0.184629 | + | 0.319786i | ||||
\(807\) | 11.4963 | − | 9.64651i | 0.404688 | − | 0.339573i | ||||
\(808\) | 2.99826 | − | 2.51584i | 0.105479 | − | 0.0885070i | ||||
\(809\) | −10.6430 | + | 18.4342i | −0.374188 | + | 0.648112i | −0.990205 | − | 0.139621i | \(-0.955412\pi\) |
0.616018 | + | 0.787732i | \(0.288745\pi\) | |||||||
\(810\) | −0.500000 | − | 0.866025i | −0.0175682 | − | 0.0304290i | ||||
\(811\) | −23.7561 | − | 8.64651i | −0.834189 | − | 0.303620i | −0.110612 | − | 0.993864i | \(-0.535281\pi\) |
−0.723577 | + | 0.690244i | \(0.757503\pi\) | |||||||
\(812\) | 0.270556 | − | 1.53440i | 0.00949465 | − | 0.0538468i | ||||
\(813\) | −3.56699 | − | 20.2294i | −0.125100 | − | 0.709476i | ||||
\(814\) | 0.700655 | − | 0.255017i | 0.0245579 | − | 0.00893836i | ||||
\(815\) | 2.27229 | + | 1.90668i | 0.0795948 | + | 0.0667880i | ||||
\(816\) | 5.46397 | 0.191277 | ||||||||
\(817\) | −42.2875 | + | 26.3893i | −1.47945 | + | 0.923244i | ||||
\(818\) | −35.3271 | −1.23518 | ||||||||
\(819\) | −1.90580 | − | 1.59916i | −0.0665941 | − | 0.0558791i | ||||
\(820\) | −2.35136 | + | 0.855824i | −0.0821130 | + | 0.0298867i | ||||
\(821\) | 6.71376 | + | 38.0756i | 0.234312 | + | 1.32885i | 0.844058 | + | 0.536252i | \(0.180160\pi\) |
−0.609746 | + | 0.792597i | \(0.708729\pi\) | |||||||
\(822\) | −2.63525 | + | 14.9452i | −0.0919148 | + | 0.521275i | ||||
\(823\) | −49.3515 | − | 17.9625i | −1.72028 | − | 0.626132i | −0.722420 | − | 0.691454i | \(-0.756970\pi\) |
−0.997864 | + | 0.0653220i | \(0.979193\pi\) | |||||||
\(824\) | 7.84408 | + | 13.5864i | 0.273262 | + | 0.473303i | ||||
\(825\) | −2.65664 | + | 4.60144i | −0.0924923 | + | 0.160201i | ||||
\(826\) | −0.0507086 | + | 0.0425496i | −0.00176438 | + | 0.00148049i | ||||
\(827\) | −20.7633 | + | 17.4225i | −0.722011 | + | 0.605839i | −0.927941 | − | 0.372728i | \(-0.878423\pi\) |
0.205930 | + | 0.978567i | \(0.433978\pi\) | |||||||
\(828\) | −1.77208 | + | 3.06933i | −0.0615839 | + | 0.106666i | ||||
\(829\) | −20.5515 | − | 35.5963i | −0.713785 | − | 1.23631i | −0.963426 | − | 0.267973i | \(-0.913646\pi\) |
0.249642 | − | 0.968338i | \(-0.419687\pi\) | |||||||
\(830\) | 1.39087 | + | 0.506236i | 0.0482779 | + | 0.0175717i | ||||
\(831\) | −2.51469 | + | 14.2615i | −0.0872336 | + | 0.494726i | ||||
\(832\) | 0.301284 | + | 1.70867i | 0.0104452 | + | 0.0592374i | ||||
\(833\) | 25.3844 | − | 9.23918i | 0.879519 | − | 0.320119i | ||||
\(834\) | −9.89538 | − | 8.30321i | −0.342649 | − | 0.287517i | ||||
\(835\) | 23.7286 | 0.821161 | ||||||||
\(836\) | −8.66316 | − | 21.4788i | −0.299622 | − | 0.742859i | ||||
\(837\) | 6.04214 | 0.208847 | ||||||||
\(838\) | 16.4868 | + | 13.8340i | 0.569526 | + | 0.477889i | ||||
\(839\) | 19.9661 | − | 7.26708i | 0.689308 | − | 0.250888i | 0.0264690 | − | 0.999650i | \(-0.491574\pi\) |
0.662839 | + | 0.748762i | \(0.269351\pi\) | |||||||
\(840\) | −0.248993 | − | 1.41211i | −0.00859109 | − | 0.0487225i | ||||
\(841\) | −4.83077 | + | 27.3967i | −0.166578 | + | 0.944713i | ||||
\(842\) | 7.23331 | + | 2.63271i | 0.249276 | + | 0.0907292i | ||||
\(843\) | 5.06717 | + | 8.77659i | 0.174523 | + | 0.302282i | ||||
\(844\) | 10.7703 | − | 18.6547i | 0.370728 | − | 0.642120i | ||||
\(845\) | −7.65254 | + | 6.42124i | −0.263255 | + | 0.220897i | ||||
\(846\) | −1.38732 | + | 1.16410i | −0.0476971 | + | 0.0400226i | ||||
\(847\) | 12.3537 | − | 21.3972i | 0.424478 | − | 0.735217i | ||||
\(848\) | −2.62341 | − | 4.54389i | −0.0900884 | − | 0.156038i | ||||
\(849\) | 11.7982 | + | 4.29420i | 0.404913 | + | 0.147376i | ||||
\(850\) | 0.948809 | − | 5.38096i | 0.0325439 | − | 0.184565i | ||||
\(851\) | −0.0863650 | − | 0.489800i | −0.00296055 | − | 0.0167901i | ||||
\(852\) | −7.16039 | + | 2.60617i | −0.245311 | + | 0.0892858i | ||||
\(853\) | 9.12228 | + | 7.65450i | 0.312341 | + | 0.262085i | 0.785459 | − | 0.618914i | \(-0.212427\pi\) |
−0.473118 | + | 0.880999i | \(0.656872\pi\) | |||||||
\(854\) | 21.0505 | 0.720333 | ||||||||
\(855\) | 1.34943 | − | 4.14476i | 0.0461497 | − | 0.141748i | ||||
\(856\) | −12.2584 | −0.418984 | ||||||||
\(857\) | −20.5931 | − | 17.2797i | −0.703449 | − | 0.590263i | 0.219304 | − | 0.975657i | \(-0.429621\pi\) |
−0.922752 | + | 0.385393i | \(0.874066\pi\) | |||||||
\(858\) | −8.66273 | + | 3.15298i | −0.295741 | + | 0.107641i | ||||
\(859\) | −7.01596 | − | 39.7895i | −0.239381 | − | 1.35760i | −0.833187 | − | 0.552991i | \(-0.813486\pi\) |
0.593806 | − | 0.804609i | \(-0.297625\pi\) | |||||||
\(860\) | −1.98575 | + | 11.2617i | −0.0677134 | + | 0.384022i | ||||
\(861\) | 3.37160 | + | 1.22716i | 0.114904 | + | 0.0418216i | ||||
\(862\) | 1.13695 | + | 1.96926i | 0.0387248 | + | 0.0670733i | ||||
\(863\) | 6.35742 | − | 11.0114i | 0.216409 | − | 0.374832i | −0.737298 | − | 0.675567i | \(-0.763899\pi\) |
0.953708 | + | 0.300736i | \(0.0972322\pi\) | |||||||
\(864\) | 0.766044 | − | 0.642788i | 0.0260614 | − | 0.0218681i | ||||
\(865\) | −6.33615 | + | 5.31666i | −0.215436 | + | 0.180772i | ||||
\(866\) | −2.93485 | + | 5.08331i | −0.0997303 | + | 0.172738i | ||||
\(867\) | −6.42749 | − | 11.1327i | −0.218289 | − | 0.378088i | ||||
\(868\) | 8.14130 | + | 2.96319i | 0.276334 | + | 0.100577i | ||||
\(869\) | −12.1630 | + | 68.9798i | −0.412602 | + | 2.33998i | ||||
\(870\) | −0.188686 | − | 1.07009i | −0.00639705 | − | 0.0362795i | ||||
\(871\) | −17.5797 | + | 6.39850i | −0.595666 | + | 0.216805i | ||||
\(872\) | −0.530784 | − | 0.445380i | −0.0179746 | − | 0.0150825i | ||||
\(873\) | 5.57017 | 0.188522 | ||||||||
\(874\) | −15.1129 | + | 3.20297i | −0.511202 | + | 0.108342i | ||||
\(875\) | −1.43390 | −0.0484745 | ||||||||
\(876\) | −5.65648 | − | 4.74635i | −0.191115 | − | 0.160364i | ||||
\(877\) | −22.7094 | + | 8.26555i | −0.766842 | + | 0.279108i | −0.695675 | − | 0.718357i | \(-0.744895\pi\) |
−0.0711671 | + | 0.997464i | \(0.522672\pi\) | |||||||
\(878\) | 5.59872 | + | 31.7519i | 0.188948 | + | 1.07158i | ||||
\(879\) | −1.69197 | + | 9.59565i | −0.0570688 | + | 0.323653i | ||||
\(880\) | −4.99285 | − | 1.81725i | −0.168309 | − | 0.0612595i | ||||
\(881\) | 25.8846 | + | 44.8334i | 0.872073 | + | 1.51047i | 0.859849 | + | 0.510549i | \(0.170558\pi\) |
0.0122242 | + | 0.999925i | \(0.496109\pi\) | |||||||
\(882\) | 2.47197 | − | 4.28158i | 0.0832356 | − | 0.144168i | ||||
\(883\) | −16.7495 | + | 14.0545i | −0.563667 | + | 0.472973i | −0.879538 | − | 0.475830i | \(-0.842148\pi\) |
0.315871 | + | 0.948802i | \(0.397703\pi\) | |||||||
\(884\) | 7.26221 | − | 6.09371i | 0.244254 | − | 0.204954i | ||||
\(885\) | −0.0230824 | + | 0.0399799i | −0.000775906 | + | 0.00134391i | ||||
\(886\) | −2.17216 | − | 3.76229i | −0.0729751 | − | 0.126397i | ||||
\(887\) | 7.07296 | + | 2.57435i | 0.237487 | + | 0.0864381i | 0.458022 | − | 0.888941i | \(-0.348558\pi\) |
−0.220535 | + | 0.975379i | \(0.570780\pi\) | |||||||
\(888\) | −0.0243683 | + | 0.138200i | −0.000817747 | + | 0.00463768i | ||||
\(889\) | −4.35091 | − | 24.6752i | −0.145925 | − | 0.827581i | ||||
\(890\) | 0.953041 | − | 0.346879i | 0.0319460 | − | 0.0116274i | ||||
\(891\) | 4.07021 | + | 3.41531i | 0.136357 | + | 0.114417i | ||||
\(892\) | −13.0160 | −0.435809 | ||||||||
\(893\) | −7.81657 | − | 1.10328i | −0.261571 | − | 0.0369198i | ||||
\(894\) | 18.0707 | 0.604375 | ||||||||
\(895\) | −7.95638 | − | 6.67620i | −0.265953 | − | 0.223161i | ||||
\(896\) | 1.34742 | − | 0.490421i | 0.0450142 | − | 0.0163838i | ||||
\(897\) | 1.06780 | + | 6.05578i | 0.0356527 | + | 0.202197i | ||||
\(898\) | 2.49635 | − | 14.1575i | 0.0833044 | − | 0.472443i | ||||
\(899\) | 6.16944 | + | 2.24549i | 0.205762 | + | 0.0748914i | ||||
\(900\) | −0.500000 | − | 0.866025i | −0.0166667 | − | 0.0288675i | ||||
\(901\) | −14.3343 | + | 24.8277i | −0.477543 | + | 0.827129i | ||||
\(902\) | 10.1847 | − | 8.54600i | 0.339114 | − | 0.284551i | ||||
\(903\) | 12.5610 | − | 10.5400i | 0.418005 | − | 0.350748i | ||||
\(904\) | −5.74054 | + | 9.94290i | −0.190927 | + | 0.330696i | ||||
\(905\) | −6.00956 | − | 10.4089i | −0.199765 | − | 0.346002i | ||||
\(906\) | 4.36019 | + | 1.58698i | 0.144858 | + | 0.0527239i | ||||
\(907\) | 1.35342 | − | 7.67562i | 0.0449395 | − | 0.254865i | −0.954058 | − | 0.299621i | \(-0.903140\pi\) |
0.998998 | + | 0.0447559i | \(0.0142510\pi\) | |||||||
\(908\) | 4.04096 | + | 22.9174i | 0.134104 | + | 0.760541i | ||||
\(909\) | −3.67791 | + | 1.33865i | −0.121989 | + | 0.0444003i | ||||
\(910\) | −1.90580 | − | 1.59916i | −0.0631767 | − | 0.0530115i | ||||
\(911\) | 17.7679 | 0.588675 | 0.294338 | − | 0.955701i | \(-0.404901\pi\) | ||||
0.294338 | + | 0.955701i | \(0.404901\pi\) | |||||||
\(912\) | 4.31612 | + | 0.609203i | 0.142921 | + | 0.0201727i | ||||
\(913\) | −7.86438 | −0.260273 | ||||||||
\(914\) | 17.0880 | + | 14.3385i | 0.565221 | + | 0.474277i | ||||
\(915\) | 13.7953 | − | 5.02107i | 0.456058 | − | 0.165991i | ||||
\(916\) | 3.42711 | + | 19.4361i | 0.113235 | + | 0.642187i | ||||
\(917\) | −0.960506 | + | 5.44730i | −0.0317187 | + | 0.179886i | ||||
\(918\) | −5.13445 | − | 1.86879i | −0.169462 | − | 0.0616792i | ||||
\(919\) | 13.6437 | + | 23.6316i | 0.450064 | + | 0.779534i | 0.998389 | − | 0.0567314i | \(-0.0180679\pi\) |
−0.548326 | + | 0.836265i | \(0.684735\pi\) | |||||||
\(920\) | −1.77208 | + | 3.06933i | −0.0584236 | + | 0.101193i | ||||
\(921\) | 21.8763 | − | 18.3564i | 0.720848 | − | 0.604863i | ||||
\(922\) | 6.28165 | − | 5.27093i | 0.206875 | − | 0.173589i | ||||
\(923\) | −6.61039 | + | 11.4495i | −0.217584 | + | 0.376866i | ||||
\(924\) | 3.80934 | + | 6.59798i | 0.125318 | + | 0.217058i | ||||
\(925\) | 0.131869 | + | 0.0479962i | 0.00433581 | + | 0.00157811i | ||||
\(926\) | 4.71771 | − | 26.7555i | 0.155034 | − | 0.879239i | ||||
\(927\) | −2.72422 | − | 15.4498i | −0.0894752 | − | 0.507439i | ||||
\(928\) | 1.02107 | − | 0.371639i | 0.0335182 | − | 0.0121996i | ||||
\(929\) | −9.05735 | − | 7.60002i | −0.297162 | − | 0.249348i | 0.482000 | − | 0.876171i | \(-0.339911\pi\) |
−0.779162 | + | 0.626823i | \(0.784355\pi\) | |||||||
\(930\) | 6.04214 | 0.198130 | ||||||||
\(931\) | 21.0819 | − | 4.46802i | 0.690931 | − | 0.146433i | ||||
\(932\) | −18.2092 | −0.596463 | ||||||||
\(933\) | 18.6817 | + | 15.6758i | 0.611612 | + | 0.513204i | ||||
\(934\) | −36.6445 | + | 13.3375i | −1.19905 | + | 0.436417i | ||||
\(935\) | 5.04129 | + | 28.5906i | 0.164868 | + | 0.935011i | ||||
\(936\) | 0.301284 | − | 1.70867i | 0.00984778 | − | 0.0558496i | ||||
\(937\) | 51.8845 | + | 18.8844i | 1.69499 | + | 0.616927i | 0.995240 | − | 0.0974583i | \(-0.0310713\pi\) |
0.699753 | + | 0.714385i | \(0.253293\pi\) | |||||||
\(938\) | 7.73050 | + | 13.3896i | 0.252410 | + | 0.437186i | ||||
\(939\) | −0.405526 | + | 0.702392i | −0.0132339 | + | 0.0229217i | ||||
\(940\) | −1.38732 | + | 1.16410i | −0.0452494 | + | 0.0379688i | ||||
\(941\) | 24.7512 | − | 20.7687i | 0.806865 | − | 0.677040i | −0.142992 | − | 0.989724i | \(-0.545672\pi\) |
0.949857 | + | 0.312684i | \(0.101228\pi\) | |||||||
\(942\) | 7.98969 | − | 13.8385i | 0.260318 | − | 0.450884i | ||||
\(943\) | −4.43420 | − | 7.68026i | −0.144397 | − | 0.250104i | ||||
\(944\) | −0.0433807 | − | 0.0157893i | −0.00141192 | − | 0.000513897i | ||||
\(945\) | −0.248993 | + | 1.41211i | −0.00809975 | + | 0.0459360i | ||||
\(946\) | −10.5508 | − | 59.8368i | −0.343037 | − | 1.94546i | ||||
\(947\) | −21.7612 | + | 7.92043i | −0.707144 | + | 0.257380i | −0.670458 | − | 0.741947i | \(-0.733902\pi\) |
−0.0366862 | + | 0.999327i | \(0.511680\pi\) | |||||||
\(948\) | −10.0986 | − | 8.47374i | −0.327988 | − | 0.275214i | ||||
\(949\) | −12.8115 | −0.415877 | ||||||||
\(950\) | 1.34943 | − | 4.14476i | 0.0437814 | − | 0.134474i | ||||
\(951\) | 6.51780 | 0.211354 | ||||||||
\(952\) | −6.00178 | − | 5.03609i | −0.194519 | − | 0.163221i | ||||
\(953\) | 5.42976 | − | 1.97627i | 0.175887 | − | 0.0640177i | −0.252575 | − | 0.967577i | \(-0.581278\pi\) |
0.428463 | + | 0.903559i | \(0.359055\pi\) | |||||||
\(954\) | 0.911102 | + | 5.16712i | 0.0294980 | + | 0.167292i | ||||
\(955\) | −1.11153 | + | 6.30381i | −0.0359683 | + | 0.203987i | ||||
\(956\) | −18.4352 | − | 6.70985i | −0.596236 | − | 0.217012i | ||||
\(957\) | 2.88670 | + | 4.99992i | 0.0933138 | + | 0.161624i | ||||
\(958\) | 17.0057 | − | 29.4547i | 0.549428 | − | 0.951637i | ||||
\(959\) | 16.6695 | − | 13.9874i | 0.538286 | − | 0.451676i | ||||
\(960\) | 0.766044 | − | 0.642788i | 0.0247240 | − | 0.0207459i | ||||
\(961\) | −2.75372 | + | 4.76958i | −0.0888295 | + | 0.153857i | ||||
\(962\) | 0.121740 | + | 0.210859i | 0.00392504 | + | 0.00679837i | ||||
\(963\) | 11.5191 | + | 4.19262i | 0.371199 | + | 0.135105i | ||||
\(964\) | −0.0714037 | + | 0.404951i | −0.00229976 | + | 0.0130426i | ||||
\(965\) | −0.630516 | − | 3.57583i | −0.0202970 | − | 0.115110i | ||||
\(966\) | 4.77546 | − | 1.73813i | 0.153648 | − | 0.0559233i | ||||
\(967\) | −25.4026 | − | 21.3153i | −0.816893 | − | 0.685455i | 0.135349 | − | 0.990798i | \(-0.456784\pi\) |
−0.952242 | + | 0.305343i | \(0.901229\pi\) | |||||||
\(968\) | 17.2309 | 0.553824 | ||||||||
\(969\) | −8.90886 | − | 22.0879i | −0.286194 | − | 0.709567i | ||||
\(970\) | 5.57017 | 0.178847 | ||||||||
\(971\) | −35.0243 | − | 29.3889i | −1.12398 | − | 0.943134i | −0.125185 | − | 0.992133i | \(-0.539952\pi\) |
−0.998799 | + | 0.0489990i | \(0.984397\pi\) | |||||||
\(972\) | −0.939693 | + | 0.342020i | −0.0301407 | + | 0.0109703i | ||||
\(973\) | 3.21637 | + | 18.2410i | 0.103112 | + | 0.584778i | ||||
\(974\) | 5.42788 | − | 30.7830i | 0.173921 | − | 0.986352i | ||||
\(975\) | −1.63039 | − | 0.593414i | −0.0522143 | − | 0.0190045i | ||||
\(976\) | 7.34031 | + | 12.7138i | 0.234958 | + | 0.406959i | ||||
\(977\) | −23.4691 | + | 40.6497i | −0.750844 | + | 1.30050i | 0.196570 | + | 0.980490i | \(0.437020\pi\) |
−0.947414 | + | 0.320010i | \(0.896314\pi\) | |||||||
\(978\) | 2.27229 | − | 1.90668i | 0.0726598 | − | 0.0609688i | ||||
\(979\) | −4.12803 | + | 3.46383i | −0.131932 | + | 0.110704i | ||||
\(980\) | 2.47197 | − | 4.28158i | 0.0789643 | − | 0.136770i | ||||
\(981\) | 0.346444 | + | 0.600059i | 0.0110611 | + | 0.0191584i | ||||
\(982\) | 27.0907 | + | 9.86022i | 0.864500 | + | 0.314652i | ||||
\(983\) | −5.50446 | + | 31.2174i | −0.175565 | + | 0.995679i | 0.761925 | + | 0.647666i | \(0.224255\pi\) |
−0.937490 | + | 0.348013i | \(0.886856\pi\) | |||||||
\(984\) | 0.434513 | + | 2.46425i | 0.0138518 | + | 0.0785573i | ||||
\(985\) | −8.06743 | + | 2.93631i | −0.257050 | + | 0.0935585i | ||||
\(986\) | −4.54812 | − | 3.81632i | −0.144842 | − | 0.121536i | ||||
\(987\) | 2.59681 | 0.0826574 | ||||||||
\(988\) | 6.41600 | − | 4.00387i | 0.204120 | − | 0.127380i | ||||
\(989\) | −40.5290 | −1.28875 | ||||||||
\(990\) | 4.07021 | + | 3.41531i | 0.129360 | + | 0.108546i | ||||
\(991\) | 43.3351 | − | 15.7727i | 1.37659 | − | 0.501036i | 0.455445 | − | 0.890264i | \(-0.349480\pi\) |
0.921142 | + | 0.389228i | \(0.127258\pi\) | |||||||
\(992\) | 1.04921 | + | 5.95034i | 0.0333123 | + | 0.188924i | ||||
\(993\) | −1.25479 | + | 7.11624i | −0.0398194 | + | 0.225827i | ||||
\(994\) | 10.2672 | + | 3.73697i | 0.325657 | + | 0.118530i | ||||
\(995\) | −7.60434 | − | 13.1711i | −0.241074 | − | 0.417552i | ||||
\(996\) | 0.740068 | − | 1.28184i | 0.0234500 | − | 0.0406165i | ||||
\(997\) | 19.4751 | − | 16.3416i | 0.616784 | − | 0.517543i | −0.280007 | − | 0.959998i | \(-0.590337\pi\) |
0.896791 | + | 0.442455i | \(0.145892\pi\) | |||||||
\(998\) | 3.19759 | − | 2.68310i | 0.101218 | − | 0.0849319i | ||||
\(999\) | 0.0701658 | − | 0.121531i | 0.00221995 | − | 0.00384506i |
(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 | 570.2.u.i.301.2 | ✓ | 12 | |
19.6 | even | 9 | inner | 570.2.u.i.481.2 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.u.i.301.2 | ✓ | 12 | 1.1 | even | 1 | trivial | |
570.2.u.i.481.2 | yes | 12 | 19.6 | even | 9 | inner |