Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 103.11 | ||
Character | \(\chi\) | \(=\) | 690.103 |
Dual form | 690.2.w.b.67.11 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(e\left(\frac{9}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.212565 | − | 0.977147i | 0.150306 | − | 0.690947i | ||||
\(3\) | 0.800541 | − | 0.599278i | 0.462193 | − | 0.345993i | ||||
\(4\) | −0.909632 | − | 0.415415i | −0.454816 | − | 0.207708i | ||||
\(5\) | 2.11901 | + | 0.713991i | 0.947652 | + | 0.319306i | ||||
\(6\) | −0.415415 | − | 0.909632i | −0.169592 | − | 0.371356i | ||||
\(7\) | −0.254568 | + | 3.55933i | −0.0962177 | + | 1.34530i | 0.688406 | + | 0.725326i | \(0.258311\pi\) |
−0.784623 | + | 0.619973i | \(0.787144\pi\) | |||||||
\(8\) | −0.599278 | + | 0.800541i | −0.211877 | + | 0.283034i | ||||
\(9\) | 0.281733 | − | 0.959493i | 0.0939109 | − | 0.319831i | ||||
\(10\) | 1.14810 | − | 1.91882i | 0.363062 | − | 0.606783i | ||||
\(11\) | 0.417095 | − | 0.649013i | 0.125759 | − | 0.195685i | −0.772665 | − | 0.634814i | \(-0.781077\pi\) |
0.898424 | + | 0.439129i | \(0.144713\pi\) | |||||||
\(12\) | −0.977147 | + | 0.212565i | −0.282078 | + | 0.0613623i | ||||
\(13\) | 4.17776 | − | 0.298799i | 1.15870 | − | 0.0828721i | 0.521280 | − | 0.853386i | \(-0.325455\pi\) |
0.637423 | + | 0.770514i | \(0.280000\pi\) | |||||||
\(14\) | 3.42387 | + | 1.00534i | 0.915068 | + | 0.268688i | ||||
\(15\) | 2.12424 | − | 0.698298i | 0.548475 | − | 0.180300i | ||||
\(16\) | 0.654861 | + | 0.755750i | 0.163715 | + | 0.188937i | ||||
\(17\) | −2.59477 | + | 6.95686i | −0.629325 | + | 1.68729i | 0.0929416 | + | 0.995672i | \(0.470373\pi\) |
−0.722267 | + | 0.691615i | \(0.756900\pi\) | |||||||
\(18\) | −0.877679 | − | 0.479249i | −0.206871 | − | 0.112960i | ||||
\(19\) | 1.46397 | − | 3.20566i | 0.335859 | − | 0.735428i | −0.664066 | − | 0.747674i | \(-0.731171\pi\) |
0.999925 | + | 0.0122459i | \(0.00389808\pi\) | |||||||
\(20\) | −1.63092 | − | 1.52974i | −0.364685 | − | 0.342060i | ||||
\(21\) | 1.92923 | + | 3.00194i | 0.420993 | + | 0.655078i | ||||
\(22\) | −0.545521 | − | 0.545521i | −0.116305 | − | 0.116305i | ||||
\(23\) | 1.43885 | − | 4.57490i | 0.300021 | − | 0.953933i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | 3.98043 | + | 3.02591i | 0.796087 | + | 0.605182i | ||||
\(26\) | 0.596076 | − | 4.14580i | 0.116900 | − | 0.813059i | ||||
\(27\) | −0.349464 | − | 0.936950i | −0.0672544 | − | 0.180316i | ||||
\(28\) | 1.71016 | − | 3.13193i | 0.323190 | − | 0.591878i | ||||
\(29\) | 3.37598 | − | 1.54176i | 0.626904 | − | 0.286297i | −0.0765200 | − | 0.997068i | \(-0.524381\pi\) |
0.703424 | + | 0.710771i | \(0.251654\pi\) | |||||||
\(30\) | −0.230801 | − | 2.22412i | −0.0421383 | − | 0.406068i | ||||
\(31\) | 0.116712 | + | 0.811752i | 0.0209622 | + | 0.145795i | 0.997615 | − | 0.0690308i | \(-0.0219907\pi\) |
−0.976652 | + | 0.214826i | \(0.931082\pi\) | |||||||
\(32\) | 0.877679 | − | 0.479249i | 0.155153 | − | 0.0847201i | ||||
\(33\) | −0.0550370 | − | 0.769517i | −0.00958071 | − | 0.133956i | ||||
\(34\) | 6.24631 | + | 4.01426i | 1.07123 | + | 0.688440i | ||||
\(35\) | −3.08076 | + | 7.36050i | −0.520743 | + | 1.24415i | ||||
\(36\) | −0.654861 | + | 0.755750i | −0.109143 | + | 0.125958i | ||||
\(37\) | −0.239711 | − | 0.438998i | −0.0394083 | − | 0.0721708i | 0.857233 | − | 0.514929i | \(-0.172182\pi\) |
−0.896641 | + | 0.442758i | \(0.854000\pi\) | |||||||
\(38\) | −2.82121 | − | 2.11193i | −0.457660 | − | 0.342600i | ||||
\(39\) | 3.16541 | − | 2.74284i | 0.506871 | − | 0.439206i | ||||
\(40\) | −1.84146 | + | 1.26848i | −0.291160 | + | 0.200564i | ||||
\(41\) | −5.21319 | + | 1.53073i | −0.814163 | + | 0.239060i | −0.662201 | − | 0.749327i | \(-0.730377\pi\) |
−0.151962 | + | 0.988386i | \(0.548559\pi\) | |||||||
\(42\) | 3.34343 | − | 1.24703i | 0.515902 | − | 0.192422i | ||||
\(43\) | 2.12404 | + | 2.83739i | 0.323914 | + | 0.432698i | 0.932709 | − | 0.360629i | \(-0.117438\pi\) |
−0.608796 | + | 0.793327i | \(0.708347\pi\) | |||||||
\(44\) | −0.649013 | + | 0.417095i | −0.0978424 | + | 0.0628795i | ||||
\(45\) | 1.28206 | − | 1.83202i | 0.191119 | − | 0.273102i | ||||
\(46\) | −4.16450 | − | 2.37843i | −0.614022 | − | 0.350681i | ||||
\(47\) | 6.86950 | − | 6.86950i | 1.00202 | − | 1.00202i | 0.00202218 | − | 0.999998i | \(-0.499356\pi\) |
0.999998 | − | 0.00202218i | \(-0.000643681\pi\) | |||||||
\(48\) | 0.977147 | + | 0.212565i | 0.141039 | + | 0.0306812i | ||||
\(49\) | −5.67525 | − | 0.815977i | −0.810750 | − | 0.116568i | ||||
\(50\) | 3.80286 | − | 3.24627i | 0.537806 | − | 0.459091i | ||||
\(51\) | 2.09187 | + | 7.12424i | 0.292920 | + | 0.997593i | ||||
\(52\) | −3.92435 | − | 1.46371i | −0.544210 | − | 0.202980i | ||||
\(53\) | −12.7971 | − | 0.915268i | −1.75782 | − | 0.125722i | −0.845179 | − | 0.534484i | \(-0.820506\pi\) |
−0.912641 | + | 0.408762i | \(0.865961\pi\) | |||||||
\(54\) | −0.989821 | + | 0.142315i | −0.134698 | + | 0.0193666i | ||||
\(55\) | 1.34722 | − | 1.07746i | 0.181659 | − | 0.145285i | ||||
\(56\) | −2.69683 | − | 2.33682i | −0.360379 | − | 0.312270i | ||||
\(57\) | −0.749106 | − | 3.44359i | −0.0992215 | − | 0.456114i | ||||
\(58\) | −0.788908 | − | 3.62655i | −0.103589 | − | 0.476190i | ||||
\(59\) | −9.93544 | − | 8.60910i | −1.29348 | − | 1.12081i | −0.985547 | − | 0.169403i | \(-0.945816\pi\) |
−0.307937 | − | 0.951407i | \(-0.599639\pi\) | |||||||
\(60\) | −2.22236 | − | 0.247245i | −0.286905 | − | 0.0319192i | ||||
\(61\) | −13.2732 | + | 1.90840i | −1.69946 | + | 0.244345i | −0.922717 | − | 0.385477i | \(-0.874037\pi\) |
−0.776739 | + | 0.629822i | \(0.783128\pi\) | |||||||
\(62\) | 0.818010 | + | 0.0585052i | 0.103887 | + | 0.00743017i | ||||
\(63\) | 3.34343 | + | 1.24703i | 0.421232 | + | 0.157112i | ||||
\(64\) | −0.281733 | − | 0.959493i | −0.0352166 | − | 0.119937i | ||||
\(65\) | 9.06607 | + | 2.34972i | 1.12451 | + | 0.291447i | ||||
\(66\) | −0.763630 | − | 0.109793i | −0.0939964 | − | 0.0135146i | ||||
\(67\) | −8.14432 | − | 1.77169i | −0.994987 | − | 0.216446i | −0.314541 | − | 0.949244i | \(-0.601851\pi\) |
−0.680447 | + | 0.732798i | \(0.738214\pi\) | |||||||
\(68\) | 5.25027 | − | 5.25027i | 0.636689 | − | 0.636689i | ||||
\(69\) | −1.58978 | − | 4.52467i | −0.191387 | − | 0.544706i | ||||
\(70\) | 6.53743 | + | 4.57494i | 0.781372 | + | 0.546810i | ||||
\(71\) | 11.6677 | − | 7.49839i | 1.38470 | − | 0.889895i | 0.385246 | − | 0.922814i | \(-0.374117\pi\) |
0.999458 | + | 0.0329192i | \(0.0104804\pi\) | |||||||
\(72\) | 0.599278 | + | 0.800541i | 0.0706256 | + | 0.0943447i | ||||
\(73\) | 13.3906 | − | 4.99444i | 1.56725 | − | 0.584555i | 0.592057 | − | 0.805896i | \(-0.298316\pi\) |
0.975196 | + | 0.221341i | \(0.0710434\pi\) | |||||||
\(74\) | −0.479920 | + | 0.140917i | −0.0557896 | + | 0.0163813i | ||||
\(75\) | 4.99986 | + | 0.0369814i | 0.577334 | + | 0.00427025i | ||||
\(76\) | −2.66335 | + | 2.30781i | −0.305508 | + | 0.264724i | ||||
\(77\) | 2.20387 | + | 1.64980i | 0.251154 | + | 0.188012i | ||||
\(78\) | −2.00730 | − | 3.67610i | −0.227282 | − | 0.416236i | ||||
\(79\) | −3.64915 | + | 4.21134i | −0.410561 | + | 0.473813i | −0.922938 | − | 0.384948i | \(-0.874219\pi\) |
0.512377 | + | 0.858760i | \(0.328765\pi\) | |||||||
\(80\) | 0.848060 | + | 2.06901i | 0.0948160 | + | 0.231322i | ||||
\(81\) | −0.841254 | − | 0.540641i | −0.0934726 | − | 0.0600712i | ||||
\(82\) | 0.387605 | + | 5.41943i | 0.0428038 | + | 0.598476i | ||||
\(83\) | 1.11600 | − | 0.609383i | 0.122497 | − | 0.0668885i | −0.416832 | − | 0.908984i | \(-0.636860\pi\) |
0.539329 | + | 0.842095i | \(0.318678\pi\) | |||||||
\(84\) | −0.507839 | − | 3.53210i | −0.0554098 | − | 0.385383i | ||||
\(85\) | −10.4655 | + | 12.8890i | −1.13514 | + | 1.39801i | ||||
\(86\) | 3.22404 | − | 1.47237i | 0.347658 | − | 0.158770i | ||||
\(87\) | 1.77867 | − | 3.25739i | 0.190693 | − | 0.349229i | ||||
\(88\) | 0.269606 | + | 0.722841i | 0.0287401 | + | 0.0770551i | ||||
\(89\) | −0.406608 | + | 2.82802i | −0.0431004 | + | 0.299770i | 0.956857 | + | 0.290559i | \(0.0938411\pi\) |
−0.999958 | + | 0.00921112i | \(0.997068\pi\) | |||||||
\(90\) | −1.51763 | − | 1.64219i | −0.159973 | − | 0.173102i | ||||
\(91\) | 14.9461i | 1.56678i | ||||||||
\(92\) | −3.20931 | + | 3.56376i | −0.334593 | + | 0.371547i | ||||
\(93\) | 0.579898 | + | 0.579898i | 0.0601326 | + | 0.0601326i | ||||
\(94\) | −5.25230 | − | 8.17273i | −0.541733 | − | 0.842953i | ||||
\(95\) | 5.39099 | − | 5.74756i | 0.553104 | − | 0.589687i | ||||
\(96\) | 0.415415 | − | 0.909632i | 0.0423981 | − | 0.0928389i | ||||
\(97\) | 8.07864 | + | 4.41127i | 0.820261 | + | 0.447897i | 0.833837 | − | 0.552011i | \(-0.186139\pi\) |
−0.0135753 | + | 0.999908i | \(0.504321\pi\) | |||||||
\(98\) | −2.00369 | + | 5.37210i | −0.202403 | + | 0.542664i | ||||
\(99\) | −0.505214 | − | 0.583048i | −0.0507759 | − | 0.0585985i | ||||
\(100\) | −2.36372 | − | 4.40600i | −0.236372 | − | 0.440600i | ||||
\(101\) | −10.9396 | − | 3.21217i | −1.08853 | − | 0.319623i | −0.312247 | − | 0.950001i | \(-0.601082\pi\) |
−0.776288 | + | 0.630378i | \(0.782900\pi\) | |||||||
\(102\) | 7.40609 | − | 0.529694i | 0.733312 | − | 0.0524475i | ||||
\(103\) | −5.06115 | + | 1.10098i | −0.498690 | + | 0.108483i | −0.454873 | − | 0.890556i | \(-0.650315\pi\) |
−0.0438165 | + | 0.999040i | \(0.513952\pi\) | |||||||
\(104\) | −2.26444 | + | 3.52354i | −0.222046 | + | 0.345511i | ||||
\(105\) | 1.94471 | + | 7.73861i | 0.189784 | + | 0.755211i | ||||
\(106\) | −3.61458 | + | 12.3101i | −0.351079 | + | 1.19566i | ||||
\(107\) | 2.79597 | − | 3.73497i | 0.270296 | − | 0.361074i | −0.644770 | − | 0.764376i | \(-0.723047\pi\) |
0.915067 | + | 0.403303i | \(0.132138\pi\) | |||||||
\(108\) | −0.0713392 | + | 0.997452i | −0.00686462 | + | 0.0959799i | ||||
\(109\) | 5.31643 | + | 11.6414i | 0.509222 | + | 1.11504i | 0.973361 | + | 0.229278i | \(0.0736363\pi\) |
−0.464140 | + | 0.885762i | \(0.653636\pi\) | |||||||
\(110\) | −0.766469 | − | 1.54546i | −0.0730800 | − | 0.147354i | ||||
\(111\) | −0.454980 | − | 0.207783i | −0.0431848 | − | 0.0197219i | ||||
\(112\) | −2.85667 | + | 2.13847i | −0.269930 | + | 0.202067i | ||||
\(113\) | 1.19034 | − | 5.47189i | 0.111977 | − | 0.514752i | −0.886653 | − | 0.462435i | \(-0.846976\pi\) |
0.998631 | − | 0.0523168i | \(-0.0166605\pi\) | |||||||
\(114\) | −3.52412 | −0.330064 | ||||||||
\(115\) | 6.31538 | − | 8.66695i | 0.588912 | − | 0.808197i | ||||
\(116\) | −3.71137 | −0.344592 | ||||||||
\(117\) | 0.890316 | − | 4.09272i | 0.0823097 | − | 0.378372i | ||||
\(118\) | −10.5243 | + | 7.87838i | −0.968839 | + | 0.725264i | ||||
\(119\) | −24.1012 | − | 11.0066i | −2.20935 | − | 1.00898i | ||||
\(120\) | −0.713991 | + | 2.11901i | −0.0651781 | + | 0.193439i | ||||
\(121\) | 4.32232 | + | 9.46455i | 0.392938 | + | 0.860414i | ||||
\(122\) | −0.956635 | + | 13.3755i | −0.0866097 | + | 1.21096i | ||||
\(123\) | −3.25604 | + | 4.34956i | −0.293587 | + | 0.392186i | ||||
\(124\) | 0.231049 | − | 0.786880i | 0.0207488 | − | 0.0706639i | ||||
\(125\) | 6.27412 | + | 9.25394i | 0.561174 | + | 0.827698i | ||||
\(126\) | 1.92923 | − | 3.00194i | 0.171870 | − | 0.267434i | ||||
\(127\) | −9.69108 | + | 2.10816i | −0.859944 | + | 0.187069i | −0.620852 | − | 0.783928i | \(-0.713213\pi\) |
−0.239092 | + | 0.970997i | \(0.576850\pi\) | |||||||
\(128\) | −0.997452 | + | 0.0713392i | −0.0881631 | + | 0.00630555i | ||||
\(129\) | 3.40077 | + | 0.998556i | 0.299421 | + | 0.0879179i | ||||
\(130\) | 4.22316 | − | 8.35942i | 0.370395 | − | 0.733169i | ||||
\(131\) | −8.81032 | − | 10.1677i | −0.769761 | − | 0.888352i | 0.226564 | − | 0.973996i | \(-0.427251\pi\) |
−0.996326 | + | 0.0856442i | \(0.972705\pi\) | |||||||
\(132\) | −0.269606 | + | 0.722841i | −0.0234662 | + | 0.0629152i | ||||
\(133\) | 11.0373 | + | 6.02682i | 0.957054 | + | 0.522591i | ||||
\(134\) | −3.46240 | + | 7.58160i | −0.299106 | + | 0.654951i | ||||
\(135\) | −0.0715459 | − | 2.23492i | −0.00615769 | − | 0.192352i | ||||
\(136\) | −4.01426 | − | 6.24631i | −0.344220 | − | 0.535617i | ||||
\(137\) | 1.17582 | + | 1.17582i | 0.100457 | + | 0.100457i | 0.755549 | − | 0.655092i | \(-0.227370\pi\) |
−0.655092 | + | 0.755549i | \(0.727370\pi\) | |||||||
\(138\) | −4.75920 | + | 0.591657i | −0.405130 | + | 0.0503652i | ||||
\(139\) | 8.63710i | 0.732589i | 0.930499 | + | 0.366295i | \(0.119374\pi\) | ||||
−0.930499 | + | 0.366295i | \(0.880626\pi\) | |||||||
\(140\) | 5.86002 | − | 5.41555i | 0.495262 | − | 0.457698i | ||||
\(141\) | 1.38258 | − | 9.61606i | 0.116434 | − | 0.809818i | ||||
\(142\) | −4.84687 | − | 12.9950i | −0.406741 | − | 1.09051i | ||||
\(143\) | 1.54860 | − | 2.83605i | 0.129500 | − | 0.237162i | ||||
\(144\) | 0.909632 | − | 0.415415i | 0.0758027 | − | 0.0346179i | ||||
\(145\) | 8.25455 | − | 0.856588i | 0.685503 | − | 0.0711358i | ||||
\(146\) | −2.03392 | − | 14.1462i | −0.168329 | − | 1.17075i | ||||
\(147\) | −5.03227 | + | 2.74783i | −0.415054 | + | 0.226637i | ||||
\(148\) | 0.0356825 | + | 0.498906i | 0.00293308 | + | 0.0410098i | ||||
\(149\) | −15.0757 | − | 9.68860i | −1.23505 | − | 0.793721i | −0.250383 | − | 0.968147i | \(-0.580557\pi\) |
−0.984670 | + | 0.174426i | \(0.944193\pi\) | |||||||
\(150\) | 1.09893 | − | 4.87774i | 0.0897276 | − | 0.398266i | ||||
\(151\) | −11.3167 | + | 13.0602i | −0.920944 | + | 1.06283i | 0.0768898 | + | 0.997040i | \(0.475501\pi\) |
−0.997834 | + | 0.0657863i | \(0.979044\pi\) | |||||||
\(152\) | 1.68893 | + | 3.09305i | 0.136991 | + | 0.250879i | ||||
\(153\) | 5.94402 | + | 4.44964i | 0.480546 | + | 0.359732i | ||||
\(154\) | 2.08056 | − | 1.80281i | 0.167656 | − | 0.145275i | ||||
\(155\) | −0.332269 | + | 1.80345i | −0.0266885 | + | 0.144856i | ||||
\(156\) | −4.01877 | + | 1.18002i | −0.321759 | + | 0.0944771i | ||||
\(157\) | 0.316580 | − | 0.118078i | 0.0252658 | − | 0.00942366i | −0.336800 | − | 0.941576i | \(-0.609344\pi\) |
0.362065 | + | 0.932153i | \(0.382072\pi\) | |||||||
\(158\) | 3.33941 | + | 4.46094i | 0.265670 | + | 0.354893i | ||||
\(159\) | −10.7931 | + | 6.93632i | −0.855950 | + | 0.550086i | ||||
\(160\) | 2.20199 | − | 0.388880i | 0.174083 | − | 0.0307437i | ||||
\(161\) | 15.9173 | + | 6.28596i | 1.25446 | + | 0.495403i | ||||
\(162\) | −0.707107 | + | 0.707107i | −0.0555556 | + | 0.0555556i | ||||
\(163\) | −2.16070 | − | 0.470032i | −0.169239 | − | 0.0368157i | 0.127147 | − | 0.991884i | \(-0.459418\pi\) |
−0.296386 | + | 0.955068i | \(0.595782\pi\) | |||||||
\(164\) | 5.37797 | + | 0.773235i | 0.419949 | + | 0.0603795i | ||||
\(165\) | 0.432804 | − | 1.66991i | 0.0336938 | − | 0.130003i | ||||
\(166\) | −0.358234 | − | 1.22003i | −0.0278043 | − | 0.0946928i | ||||
\(167\) | 16.2865 | + | 6.07456i | 1.26029 | + | 0.470064i | 0.888766 | − | 0.458360i | \(-0.151563\pi\) |
0.371523 | + | 0.928424i | \(0.378836\pi\) | |||||||
\(168\) | −3.55933 | − | 0.254568i | −0.274608 | − | 0.0196403i | ||||
\(169\) | 4.49674 | − | 0.646534i | 0.345903 | − | 0.0497334i | ||||
\(170\) | 10.3699 | + | 12.9661i | 0.795333 | + | 0.994453i | ||||
\(171\) | −2.66335 | − | 2.30781i | −0.203672 | − | 0.176483i | ||||
\(172\) | −0.753404 | − | 3.46334i | −0.0574465 | − | 0.264077i | ||||
\(173\) | −0.583359 | − | 2.68166i | −0.0443520 | − | 0.203883i | 0.949639 | − | 0.313347i | \(-0.101450\pi\) |
−0.993991 | + | 0.109464i | \(0.965087\pi\) | |||||||
\(174\) | −2.80487 | − | 2.43043i | −0.212636 | − | 0.184250i | ||||
\(175\) | −11.7835 | + | 13.3974i | −0.890749 | + | 1.01275i | ||||
\(176\) | 0.763630 | − | 0.109793i | 0.0575608 | − | 0.00827600i | ||||
\(177\) | −13.1130 | − | 0.937858i | −0.985631 | − | 0.0704937i | ||||
\(178\) | 2.67696 | + | 0.998455i | 0.200647 | + | 0.0748374i | ||||
\(179\) | −0.408892 | − | 1.39256i | −0.0305620 | − | 0.104085i | 0.942800 | − | 0.333360i | \(-0.108183\pi\) |
−0.973362 | + | 0.229275i | \(0.926364\pi\) | |||||||
\(180\) | −1.92726 | + | 1.13388i | −0.143649 | + | 0.0845143i | ||||
\(181\) | −6.23195 | − | 0.896019i | −0.463217 | − | 0.0666005i | −0.0932444 | − | 0.995643i | \(-0.529724\pi\) |
−0.369972 | + | 0.929043i | \(0.620633\pi\) | |||||||
\(182\) | 14.6045 | + | 3.17702i | 1.08256 | + | 0.235496i | ||||
\(183\) | −9.48207 | + | 9.48207i | −0.700935 | + | 0.700935i | ||||
\(184\) | 2.80012 | + | 3.89349i | 0.206428 | + | 0.287032i | ||||
\(185\) | −0.194510 | − | 1.10139i | −0.0143007 | − | 0.0809761i | ||||
\(186\) | 0.689912 | − | 0.443379i | 0.0505868 | − | 0.0325102i | ||||
\(187\) | 3.43282 | + | 4.58571i | 0.251033 | + | 0.335341i | ||||
\(188\) | −9.10242 | + | 3.39503i | −0.663862 | + | 0.247608i | ||||
\(189\) | 3.42387 | − | 1.00534i | 0.249050 | − | 0.0731277i | ||||
\(190\) | −4.47028 | − | 6.48952i | −0.324308 | − | 0.470799i | ||||
\(191\) | −13.6688 | + | 11.8441i | −0.989038 | + | 0.857006i | −0.989724 | − | 0.142994i | \(-0.954327\pi\) |
0.000685784 | 1.00000i | \(0.499782\pi\) | ||||||||
\(192\) | −0.800541 | − | 0.599278i | −0.0577741 | − | 0.0432491i | ||||
\(193\) | 6.89677 | + | 12.6305i | 0.496441 | + | 0.909163i | 0.999004 | + | 0.0446228i | \(0.0142086\pi\) |
−0.502563 | + | 0.864540i | \(0.667610\pi\) | |||||||
\(194\) | 6.02770 | − | 6.95633i | 0.432763 | − | 0.499436i | ||||
\(195\) | 8.66590 | − | 3.55205i | 0.620578 | − | 0.254367i | ||||
\(196\) | 4.82342 | + | 3.09982i | 0.344530 | + | 0.221416i | ||||
\(197\) | −0.502464 | − | 7.02537i | −0.0357991 | − | 0.500537i | −0.983444 | − | 0.181211i | \(-0.941998\pi\) |
0.947645 | − | 0.319326i | \(-0.103456\pi\) | |||||||
\(198\) | −0.677114 | + | 0.369732i | −0.0481204 | + | 0.0262757i | ||||
\(199\) | −1.66824 | − | 11.6029i | −0.118259 | − | 0.822507i | −0.959472 | − | 0.281804i | \(-0.909067\pi\) |
0.841213 | − | 0.540703i | \(-0.181842\pi\) | |||||||
\(200\) | −4.80775 | + | 1.37314i | −0.339959 | + | 0.0970957i | ||||
\(201\) | −7.58160 | + | 3.46240i | −0.534765 | + | 0.244219i | ||||
\(202\) | −5.46415 | + | 10.0068i | −0.384456 | + | 0.704079i | ||||
\(203\) | 4.62820 | + | 12.4087i | 0.324836 | + | 0.870920i | ||||
\(204\) | 1.05669 | − | 7.34943i | 0.0739830 | − | 0.514563i | ||||
\(205\) | −12.1397 | − | 0.478530i | −0.847876 | − | 0.0334220i | ||||
\(206\) | 5.17951i | 0.360874i | ||||||||
\(207\) | −3.98421 | − | 2.66947i | −0.276922 | − | 0.185541i | ||||
\(208\) | 2.96167 | + | 2.96167i | 0.205355 | + | 0.205355i | ||||
\(209\) | −1.46989 | − | 2.28720i | −0.101675 | − | 0.158209i | ||||
\(210\) | 7.97514 | − | 0.255306i | 0.550337 | − | 0.0176178i | ||||
\(211\) | 8.05183 | − | 17.6311i | 0.554311 | − | 1.21377i | −0.400428 | − | 0.916328i | \(-0.631139\pi\) |
0.954739 | − | 0.297444i | \(-0.0961341\pi\) | |||||||
\(212\) | 11.2605 | + | 6.14867i | 0.773371 | + | 0.422293i | ||||
\(213\) | 4.84687 | − | 12.9950i | 0.332102 | − | 0.890401i | ||||
\(214\) | −3.05529 | − | 3.52600i | −0.208855 | − | 0.241032i | ||||
\(215\) | 2.47501 | + | 7.52902i | 0.168794 | + | 0.513475i | ||||
\(216\) | 0.959493 | + | 0.281733i | 0.0652852 | + | 0.0191695i | ||||
\(217\) | −2.91900 | + | 0.208771i | −0.198155 | + | 0.0141723i | ||||
\(218\) | 12.5054 | − | 2.72038i | 0.846973 | − | 0.184248i | ||||
\(219\) | 7.72668 | − | 12.0230i | 0.522121 | − | 0.812436i | ||||
\(220\) | −1.67307 | + | 0.420441i | −0.112798 | + | 0.0283461i | ||||
\(221\) | −8.76164 | + | 29.8394i | −0.589372 | + | 2.00722i | ||||
\(222\) | −0.299747 | + | 0.400415i | −0.0201177 | + | 0.0268741i | ||||
\(223\) | 1.86391 | − | 26.0609i | 0.124817 | − | 1.74516i | −0.420822 | − | 0.907143i | \(-0.638258\pi\) |
0.545639 | − | 0.838021i | \(-0.316287\pi\) | |||||||
\(224\) | 1.48237 | + | 3.24595i | 0.0990453 | + | 0.216879i | ||||
\(225\) | 4.02476 | − | 2.96670i | 0.268317 | − | 0.197780i | ||||
\(226\) | −5.09381 | − | 2.32627i | −0.338835 | − | 0.154741i | ||||
\(227\) | −15.8879 | + | 11.8935i | −1.05452 | + | 0.789400i | −0.978196 | − | 0.207683i | \(-0.933408\pi\) |
−0.0763192 | + | 0.997083i | \(0.524317\pi\) | |||||||
\(228\) | −0.749106 | + | 3.44359i | −0.0496108 | + | 0.228057i | ||||
\(229\) | 5.07170 | 0.335147 | 0.167574 | − | 0.985860i | \(-0.446407\pi\) | ||||
0.167574 | + | 0.985860i | \(0.446407\pi\) | |||||||
\(230\) | −7.12645 | − | 8.01335i | −0.469904 | − | 0.528384i | ||||
\(231\) | 2.75297 | 0.181132 | ||||||||
\(232\) | −0.788908 | + | 3.62655i | −0.0517944 | + | 0.238095i | ||||
\(233\) | −7.17324 | + | 5.36982i | −0.469935 | + | 0.351789i | −0.807850 | − | 0.589388i | \(-0.799369\pi\) |
0.337916 | + | 0.941176i | \(0.390278\pi\) | |||||||
\(234\) | −3.80993 | − | 1.73994i | −0.249063 | − | 0.113743i | ||||
\(235\) | 19.4613 | − | 9.65181i | 1.26952 | − | 0.629615i | ||||
\(236\) | 5.46124 | + | 11.9584i | 0.355496 | + | 0.778429i | ||||
\(237\) | −0.397530 | + | 5.55820i | −0.0258224 | + | 0.361044i | ||||
\(238\) | −15.8782 | + | 21.2108i | −1.02923 | + | 1.37489i | ||||
\(239\) | 6.49897 | − | 22.1334i | 0.420383 | − | 1.43169i | −0.428706 | − | 0.903444i | \(-0.641030\pi\) |
0.849089 | − | 0.528250i | \(-0.177151\pi\) | |||||||
\(240\) | 1.91882 | + | 1.14810i | 0.123859 | + | 0.0741097i | ||||
\(241\) | 1.65004 | − | 2.56751i | 0.106288 | − | 0.165388i | −0.784035 | − | 0.620716i | \(-0.786842\pi\) |
0.890324 | + | 0.455329i | \(0.150478\pi\) | |||||||
\(242\) | 10.1670 | − | 2.21170i | 0.653562 | − | 0.142174i | ||||
\(243\) | −0.997452 | + | 0.0713392i | −0.0639866 | + | 0.00457641i | ||||
\(244\) | 12.8665 | + | 3.77794i | 0.823692 | + | 0.241858i | ||||
\(245\) | −11.4433 | − | 5.78114i | −0.731087 | − | 0.369344i | ||||
\(246\) | 3.55804 | + | 4.10619i | 0.226852 | + | 0.261801i | ||||
\(247\) | 5.15829 | − | 13.8299i | 0.328214 | − | 0.879975i | ||||
\(248\) | −0.719784 | − | 0.393032i | −0.0457064 | − | 0.0249576i | ||||
\(249\) | 0.528216 | − | 1.15663i | 0.0334743 | − | 0.0732985i | ||||
\(250\) | 10.3761 | − | 4.16367i | 0.656243 | − | 0.263334i | ||||
\(251\) | −10.6800 | − | 16.6183i | −0.674113 | − | 1.04894i | −0.994809 | − | 0.101758i | \(-0.967553\pi\) |
0.320696 | − | 0.947182i | \(-0.396083\pi\) | |||||||
\(252\) | −2.52325 | − | 2.52325i | −0.158950 | − | 0.158950i | ||||
\(253\) | −2.36903 | − | 2.84200i | −0.148940 | − | 0.178675i | ||||
\(254\) | 9.91773i | 0.622294i | ||||||||
\(255\) | −0.653950 | + | 16.5899i | −0.0409520 | + | 1.03890i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | 6.83937 | + | 18.3370i | 0.426628 | + | 1.14383i | 0.955463 | + | 0.295109i | \(0.0953561\pi\) |
−0.528836 | + | 0.848724i | \(0.677371\pi\) | |||||||
\(258\) | 1.69862 | − | 3.11079i | 0.105752 | − | 0.193669i | ||||
\(259\) | 1.62356 | − | 0.741455i | 0.100883 | − | 0.0460718i | ||||
\(260\) | −7.27068 | − | 5.90357i | −0.450909 | − | 0.366124i | ||||
\(261\) | −0.528183 | − | 3.67359i | −0.0326937 | − | 0.227390i | ||||
\(262\) | −11.8081 | + | 6.44769i | −0.729504 | + | 0.398340i | ||||
\(263\) | 0.382593 | + | 5.34935i | 0.0235917 | + | 0.329855i | 0.995518 | + | 0.0945704i | \(0.0301477\pi\) |
−0.971926 | + | 0.235285i | \(0.924398\pi\) | |||||||
\(264\) | 0.649013 | + | 0.417095i | 0.0399440 | + | 0.0256704i | ||||
\(265\) | −26.4638 | − | 11.0765i | −1.62566 | − | 0.680423i | ||||
\(266\) | 8.23523 | − | 9.50396i | 0.504934 | − | 0.582725i | ||||
\(267\) | 1.36926 | + | 2.50762i | 0.0837976 | + | 0.153464i | ||||
\(268\) | 6.67235 | + | 4.99486i | 0.407579 | + | 0.305110i | ||||
\(269\) | 5.65650 | − | 4.90139i | 0.344883 | − | 0.298843i | −0.465144 | − | 0.885235i | \(-0.653998\pi\) |
0.810027 | + | 0.586392i | \(0.199452\pi\) | |||||||
\(270\) | −2.19906 | − | 0.405156i | −0.133830 | − | 0.0246570i | ||||
\(271\) | 24.7782 | − | 7.27553i | 1.50517 | − | 0.441957i | 0.577822 | − | 0.816163i | \(-0.303903\pi\) |
0.927346 | + | 0.374206i | \(0.122085\pi\) | |||||||
\(272\) | −6.95686 | + | 2.59477i | −0.421822 | + | 0.157331i | ||||
\(273\) | 8.95685 | + | 11.9650i | 0.542094 | + | 0.724152i | ||||
\(274\) | 1.39889 | − | 0.899012i | 0.0845100 | − | 0.0543113i | ||||
\(275\) | 3.62408 | − | 1.32126i | 0.218540 | − | 0.0796750i | ||||
\(276\) | −0.433504 | + | 4.77620i | −0.0260938 | + | 0.287493i | ||||
\(277\) | −16.5576 | + | 16.5576i | −0.994852 | + | 0.994852i | −0.999987 | − | 0.00513451i | \(-0.998366\pi\) |
0.00513451 | + | 0.999987i | \(0.498366\pi\) | |||||||
\(278\) | 8.43972 | + | 1.83595i | 0.506181 | + | 0.110113i | ||||
\(279\) | 0.811752 | + | 0.116712i | 0.0485983 | + | 0.00698739i | ||||
\(280\) | −4.04615 | − | 6.87726i | −0.241804 | − | 0.410995i | ||||
\(281\) | −6.22461 | − | 21.1991i | −0.371329 | − | 1.26463i | −0.907332 | − | 0.420415i | \(-0.861884\pi\) |
0.536002 | − | 0.844216i | \(-0.319934\pi\) | |||||||
\(282\) | −9.10242 | − | 3.39503i | −0.542041 | − | 0.202171i | ||||
\(283\) | −0.0347524 | − | 0.00248554i | −0.00206582 | − | 0.000147750i | 0.0703062 | − | 0.997525i | \(-0.477602\pi\) |
−0.0723721 | + | 0.997378i | \(0.523057\pi\) | |||||||
\(284\) | −13.7283 | + | 1.97383i | −0.814623 | + | 0.117125i | ||||
\(285\) | 0.871322 | − | 7.83186i | 0.0516127 | − | 0.463919i | ||||
\(286\) | −2.44206 | − | 2.11606i | −0.144402 | − | 0.125125i | ||||
\(287\) | −4.12125 | − | 18.9451i | −0.243270 | − | 1.11829i | ||||
\(288\) | −0.212565 | − | 0.977147i | −0.0125255 | − | 0.0575789i | ||||
\(289\) | −28.8173 | − | 24.9703i | −1.69513 | − | 1.46884i | ||||
\(290\) | 0.917618 | − | 8.24799i | 0.0538844 | − | 0.484338i | ||||
\(291\) | 9.11086 | − | 1.30994i | 0.534088 | − | 0.0767903i | ||||
\(292\) | −14.2553 | − | 1.01956i | −0.834228 | − | 0.0596652i | ||||
\(293\) | 12.6939 | + | 4.73460i | 0.741588 | + | 0.276598i | 0.691728 | − | 0.722158i | \(-0.256850\pi\) |
0.0498602 | + | 0.998756i | \(0.484122\pi\) | |||||||
\(294\) | 1.61534 | + | 5.50136i | 0.0942088 | + | 0.320846i | ||||
\(295\) | −14.9065 | − | 25.3366i | −0.867890 | − | 1.47515i | ||||
\(296\) | 0.495090 | + | 0.0711831i | 0.0287765 | + | 0.00413744i | ||||
\(297\) | −0.753852 | − | 0.163991i | −0.0437429 | − | 0.00951570i | ||||
\(298\) | −12.6718 | + | 12.6718i | −0.734055 | + | 0.734055i | ||||
\(299\) | 4.64420 | − | 19.5428i | 0.268581 | − | 1.13019i | ||||
\(300\) | −4.53267 | − | 2.11066i | −0.261694 | − | 0.121859i | ||||
\(301\) | −10.6399 | + | 6.83786i | −0.613274 | + | 0.394127i | ||||
\(302\) | 10.3562 | + | 13.8343i | 0.595933 | + | 0.796073i | ||||
\(303\) | −10.6826 | + | 3.98441i | −0.613700 | + | 0.228898i | ||||
\(304\) | 3.38137 | − | 0.992860i | 0.193935 | − | 0.0569444i | ||||
\(305\) | −29.4886 | − | 5.43301i | −1.68851 | − | 0.311093i | ||||
\(306\) | 5.61145 | − | 4.86235i | 0.320785 | − | 0.277962i | ||||
\(307\) | 0.163368 | + | 0.122296i | 0.00932391 | + | 0.00697979i | 0.603929 | − | 0.797038i | \(-0.293601\pi\) |
−0.594606 | + | 0.804018i | \(0.702692\pi\) | |||||||
\(308\) | −1.31936 | − | 2.41623i | −0.0751775 | − | 0.137677i | ||||
\(309\) | −3.39186 | + | 3.91442i | −0.192956 | + | 0.222683i | ||||
\(310\) | 1.69160 | + | 0.708025i | 0.0960766 | + | 0.0402131i | ||||
\(311\) | 15.4598 | + | 9.93541i | 0.876644 | + | 0.563385i | 0.899778 | − | 0.436347i | \(-0.143728\pi\) |
−0.0231339 | + | 0.999732i | \(0.507364\pi\) | |||||||
\(312\) | 0.298799 | + | 4.17776i | 0.0169162 | + | 0.236519i | ||||
\(313\) | 17.3205 | − | 9.45770i | 0.979011 | − | 0.534581i | 0.0917174 | − | 0.995785i | \(-0.470764\pi\) |
0.887294 | + | 0.461204i | \(0.152583\pi\) | |||||||
\(314\) | −0.0480858 | − | 0.334444i | −0.00271364 | − | 0.0188738i | ||||
\(315\) | 6.19440 | + | 5.02966i | 0.349015 | + | 0.283389i | ||||
\(316\) | 5.06883 | − | 2.31486i | 0.285144 | − | 0.130221i | ||||
\(317\) | −8.78732 | + | 16.0928i | −0.493545 | + | 0.903861i | 0.505610 | + | 0.862762i | \(0.331268\pi\) |
−0.999155 | + | 0.0410984i | \(0.986914\pi\) | |||||||
\(318\) | 4.48356 | + | 12.0209i | 0.251426 | + | 0.674098i | ||||
\(319\) | 0.407484 | − | 2.83411i | 0.0228147 | − | 0.158680i | ||||
\(320\) | 0.0880740 | − | 2.23433i | 0.00492349 | − | 0.124903i | ||||
\(321\) | − | 4.66556i | − | 0.260406i | ||||||
\(322\) | 9.52577 | − | 14.2173i | 0.530850 | − | 0.792301i | ||||
\(323\) | 18.5026 | + | 18.5026i | 1.02951 | + | 1.02951i | ||||
\(324\) | 0.540641 | + | 0.841254i | 0.0300356 | + | 0.0467363i | ||||
\(325\) | 17.5335 | + | 11.4522i | 0.972581 | + | 0.635253i | ||||
\(326\) | −0.918581 | + | 2.01141i | −0.0508755 | + | 0.111402i | ||||
\(327\) | 11.2324 | + | 6.13337i | 0.621154 | + | 0.339176i | ||||
\(328\) | 1.89873 | − | 5.09070i | 0.104840 | − | 0.281087i | ||||
\(329\) | 22.7020 | + | 26.1996i | 1.25160 | + | 1.44443i | ||||
\(330\) | −1.53975 | − | 0.777879i | −0.0847605 | − | 0.0428208i | ||||
\(331\) | −16.4708 | − | 4.83625i | −0.905315 | − | 0.265824i | −0.204247 | − | 0.978919i | \(-0.565475\pi\) |
−0.701068 | + | 0.713095i | \(0.747293\pi\) | |||||||
\(332\) | −1.26830 | + | 0.0907105i | −0.0696069 | + | 0.00497838i | ||||
\(333\) | −0.488750 | + | 0.106321i | −0.0267833 | + | 0.00582636i | ||||
\(334\) | 9.39769 | − | 14.6231i | 0.514219 | − | 0.800140i | ||||
\(335\) | −15.9930 | − | 9.56920i | −0.873789 | − | 0.522821i | ||||
\(336\) | −1.00534 | + | 3.42387i | −0.0548458 | + | 0.186788i | ||||
\(337\) | 10.3298 | − | 13.7990i | 0.562699 | − | 0.751678i | −0.425482 | − | 0.904967i | \(-0.639895\pi\) |
0.988181 | + | 0.153289i | \(0.0489864\pi\) | |||||||
\(338\) | 0.324093 | − | 4.53141i | 0.0176283 | − | 0.246476i | ||||
\(339\) | −2.32627 | − | 5.09381i | −0.126345 | − | 0.276658i | ||||
\(340\) | 14.8740 | − | 7.37675i | 0.806658 | − | 0.400061i | ||||
\(341\) | 0.575518 | + | 0.262830i | 0.0311660 | + | 0.0142331i | ||||
\(342\) | −2.82121 | + | 2.11193i | −0.152553 | + | 0.114200i | ||||
\(343\) | −0.960586 | + | 4.41574i | −0.0518668 | + | 0.238428i | ||||
\(344\) | −3.54434 | −0.191098 | ||||||||
\(345\) | −0.138186 | − | 10.7229i | −0.00743969 | − | 0.577302i | ||||
\(346\) | −2.74438 | −0.147539 | ||||||||
\(347\) | 1.66976 | − | 7.67574i | 0.0896372 | − | 0.412055i | −0.910361 | − | 0.413814i | \(-0.864196\pi\) |
0.999998 | + | 0.00175898i | \(0.000559902\pi\) | |||||||
\(348\) | −2.97110 | + | 2.22414i | −0.159268 | + | 0.119226i | ||||
\(349\) | −0.157551 | − | 0.0719512i | −0.00843352 | − | 0.00385146i | 0.411194 | − | 0.911548i | \(-0.365112\pi\) |
−0.419627 | + | 0.907696i | \(0.637839\pi\) | |||||||
\(350\) | 10.5864 | + | 14.3620i | 0.565868 | + | 0.767682i | ||||
\(351\) | −1.73994 | − | 3.80993i | −0.0928710 | − | 0.203359i | ||||
\(352\) | 0.0550370 | − | 0.769517i | 0.00293348 | − | 0.0410154i | ||||
\(353\) | 17.0231 | − | 22.7401i | 0.906046 | − | 1.21034i | −0.0710366 | − | 0.997474i | \(-0.522631\pi\) |
0.977082 | − | 0.212862i | \(-0.0682784\pi\) | |||||||
\(354\) | −3.70379 | + | 12.6139i | −0.196854 | + | 0.670423i | ||||
\(355\) | 30.0778 | − | 7.55854i | 1.59637 | − | 0.401166i | ||||
\(356\) | 1.54467 | − | 2.40355i | 0.0818672 | − | 0.127388i | ||||
\(357\) | −25.8900 | + | 5.63203i | −1.37025 | + | 0.298079i | ||||
\(358\) | −1.44765 | + | 0.103538i | −0.0765108 | + | 0.00547216i | ||||
\(359\) | 26.0286 | + | 7.64270i | 1.37374 | + | 0.403366i | 0.883586 | − | 0.468270i | \(-0.155122\pi\) |
0.490154 | + | 0.871636i | \(0.336941\pi\) | |||||||
\(360\) | 0.698298 | + | 2.12424i | 0.0368036 | + | 0.111957i | ||||
\(361\) | 4.30935 | + | 4.97325i | 0.226808 | + | 0.261750i | ||||
\(362\) | −2.20024 | + | 5.89906i | −0.115642 | + | 0.310048i | ||||
\(363\) | 9.13209 | + | 4.98650i | 0.479310 | + | 0.261723i | ||||
\(364\) | 6.20883 | − | 13.5954i | 0.325431 | − | 0.712595i | ||||
\(365\) | 31.9409 | − | 1.02251i | 1.67186 | − | 0.0535208i | ||||
\(366\) | 7.24982 | + | 11.2809i | 0.378954 | + | 0.589664i | ||||
\(367\) | −13.3702 | − | 13.3702i | −0.697917 | − | 0.697917i | 0.266044 | − | 0.963961i | \(-0.414283\pi\) |
−0.963961 | + | 0.266044i | \(0.914283\pi\) | |||||||
\(368\) | 4.39973 | − | 1.90851i | 0.229352 | − | 0.0994880i | ||||
\(369\) | 5.43327i | 0.282845i | ||||||||
\(370\) | −1.11757 | − | 0.0440529i | −0.0580997 | − | 0.00229020i | ||||
\(371\) | 6.51548 | − | 45.3161i | 0.338267 | − | 2.35270i | ||||
\(372\) | −0.286596 | − | 0.768392i | −0.0148593 | − | 0.0398393i | ||||
\(373\) | 8.08448 | − | 14.8056i | 0.418598 | − | 0.766605i | −0.580257 | − | 0.814433i | \(-0.697048\pi\) |
0.998856 | + | 0.0478277i | \(0.0152298\pi\) | |||||||
\(374\) | 5.21062 | − | 2.37961i | 0.269435 | − | 0.123047i | ||||
\(375\) | 10.5684 | + | 3.64822i | 0.545748 | + | 0.188393i | ||||
\(376\) | 1.38258 | + | 9.61606i | 0.0713012 | + | 0.495911i | ||||
\(377\) | 13.6434 | − | 7.44984i | 0.702669 | − | 0.383686i | ||||
\(378\) | −0.254568 | − | 3.55933i | −0.0130936 | − | 0.183072i | ||||
\(379\) | 10.4881 | + | 6.74028i | 0.538736 | + | 0.346225i | 0.781545 | − | 0.623849i | \(-0.214432\pi\) |
−0.242808 | + | 0.970074i | \(0.578069\pi\) | |||||||
\(380\) | −7.29144 | + | 2.98867i | −0.374043 | + | 0.153315i | ||||
\(381\) | −6.49473 | + | 7.49532i | −0.332735 | + | 0.383997i | ||||
\(382\) | 8.66788 | + | 15.8740i | 0.443487 | + | 0.812186i | ||||
\(383\) | −16.1884 | − | 12.1185i | −0.827187 | − | 0.619224i | 0.0995092 | − | 0.995037i | \(-0.468273\pi\) |
−0.926696 | + | 0.375813i | \(0.877364\pi\) | |||||||
\(384\) | −0.755750 | + | 0.654861i | −0.0385667 | + | 0.0334182i | ||||
\(385\) | 3.49209 | + | 5.06948i | 0.177973 | + | 0.258365i | ||||
\(386\) | 13.8079 | − | 4.05436i | 0.702802 | − | 0.206361i | ||||
\(387\) | 3.32087 | − | 1.23862i | 0.168809 | − | 0.0629626i | ||||
\(388\) | −5.51608 | − | 7.36862i | −0.280037 | − | 0.374085i | ||||
\(389\) | −4.11210 | + | 2.64269i | −0.208492 | + | 0.133989i | −0.640720 | − | 0.767775i | \(-0.721364\pi\) |
0.432228 | + | 0.901764i | \(0.357728\pi\) | |||||||
\(390\) | −1.62880 | − | 9.22290i | −0.0824775 | − | 0.467020i | ||||
\(391\) | 28.0934 | + | 21.8807i | 1.42075 | + | 1.10656i | ||||
\(392\) | 4.05427 | − | 4.05427i | 0.204772 | − | 0.204772i | ||||
\(393\) | −13.1463 | − | 2.85980i | −0.663142 | − | 0.144258i | ||||
\(394\) | −6.97162 | − | 1.00237i | −0.351225 | − | 0.0504986i | ||||
\(395\) | −10.7394 | + | 6.31843i | −0.540360 | + | 0.317915i | ||||
\(396\) | 0.217352 | + | 0.740233i | 0.0109223 | + | 0.0371981i | ||||
\(397\) | 3.72391 | + | 1.38895i | 0.186898 | + | 0.0697093i | 0.441171 | − | 0.897423i | \(-0.354563\pi\) |
−0.254273 | + | 0.967133i | \(0.581836\pi\) | |||||||
\(398\) | −11.6923 | − | 0.836253i | −0.586084 | − | 0.0419176i | ||||
\(399\) | 12.4475 | − | 1.78969i | 0.623157 | − | 0.0895964i | ||||
\(400\) | 0.319799 | + | 4.98976i | 0.0159899 | + | 0.249488i | ||||
\(401\) | −4.35961 | − | 3.77763i | −0.217709 | − | 0.188646i | 0.539178 | − | 0.842192i | \(-0.318735\pi\) |
−0.756887 | + | 0.653546i | \(0.773280\pi\) | |||||||
\(402\) | 1.77169 | + | 8.14432i | 0.0883638 | + | 0.406202i | ||||
\(403\) | 0.730148 | + | 3.35644i | 0.0363713 | + | 0.167196i | ||||
\(404\) | 8.61666 | + | 7.46638i | 0.428695 | + | 0.371466i | ||||
\(405\) | −1.39661 | − | 1.74627i | −0.0693984 | − | 0.0867730i | ||||
\(406\) | 13.1089 | − | 1.88478i | 0.650584 | − | 0.0935399i | ||||
\(407\) | −0.384898 | − | 0.0275284i | −0.0190787 | − | 0.00136453i | ||||
\(408\) | −6.95686 | − | 2.59477i | −0.344416 | − | 0.128460i | ||||
\(409\) | 4.17525 | + | 14.2196i | 0.206453 | + | 0.703114i | 0.995994 | + | 0.0894168i | \(0.0285003\pi\) |
−0.789541 | + | 0.613697i | \(0.789682\pi\) | |||||||
\(410\) | −3.04808 | + | 11.7606i | −0.150534 | + | 0.580814i | ||||
\(411\) | 1.64594 | + | 0.236650i | 0.0811881 | + | 0.0116731i | ||||
\(412\) | 5.06115 | + | 1.10098i | 0.249345 | + | 0.0542416i | ||||
\(413\) | 33.1719 | − | 33.1719i | 1.63228 | − | 1.63228i | ||||
\(414\) | −3.45537 | + | 3.32573i | −0.169822 | + | 0.163451i | ||||
\(415\) | 2.79992 | − | 0.494476i | 0.137443 | − | 0.0242729i | ||||
\(416\) | 3.52354 | − | 2.26444i | 0.172756 | − | 0.111023i | ||||
\(417\) | 5.17602 | + | 6.91436i | 0.253471 | + | 0.338597i | ||||
\(418\) | −2.54738 | + | 0.950124i | −0.124596 | + | 0.0464721i | ||||
\(419\) | −18.3736 | + | 5.39497i | −0.897608 | + | 0.263562i | −0.697816 | − | 0.716277i | \(-0.745845\pi\) |
−0.199792 | + | 0.979838i | \(0.564027\pi\) | |||||||
\(420\) | 1.44577 | − | 7.84715i | 0.0705462 | − | 0.382902i | ||||
\(421\) | 4.25106 | − | 3.68357i | 0.207184 | − | 0.179526i | −0.545087 | − | 0.838379i | \(-0.683504\pi\) |
0.752272 | + | 0.658853i | \(0.228958\pi\) | |||||||
\(422\) | −15.5166 | − | 11.6156i | −0.755336 | − | 0.565437i | ||||
\(423\) | −4.65588 | − | 8.52660i | −0.226377 | − | 0.414578i | ||||
\(424\) | 8.40174 | − | 9.69612i | 0.408025 | − | 0.470885i | ||||
\(425\) | −31.3792 | + | 19.8398i | −1.52211 | + | 0.962370i | ||||
\(426\) | −11.6677 | − | 7.49839i | −0.565303 | − | 0.363298i | ||||
\(427\) | −3.41367 | − | 47.7294i | −0.165199 | − | 2.30979i | ||||
\(428\) | −4.09486 | + | 2.23597i | −0.197933 | + | 0.108079i | ||||
\(429\) | −0.459863 | − | 3.19842i | −0.0222024 | − | 0.154421i | ||||
\(430\) | 7.88305 | − | 0.818038i | 0.380155 | − | 0.0394493i | ||||
\(431\) | −24.7401 | + | 11.2984i | −1.19169 | + | 0.544226i | −0.909730 | − | 0.415201i | \(-0.863711\pi\) |
−0.281958 | + | 0.959427i | \(0.590984\pi\) | |||||||
\(432\) | 0.479249 | − | 0.877679i | 0.0230579 | − | 0.0422274i | ||||
\(433\) | −5.04736 | − | 13.5325i | −0.242561 | − | 0.650331i | 0.757436 | − | 0.652909i | \(-0.226452\pi\) |
−0.999997 | + | 0.00257898i | \(0.999179\pi\) | |||||||
\(434\) | −0.416479 | + | 2.89667i | −0.0199916 | + | 0.139045i | ||||
\(435\) | 6.09477 | − | 5.63250i | 0.292222 | − | 0.270058i | ||||
\(436\) | − | 12.7979i | − | 0.612907i | ||||||
\(437\) | −12.5591 | − | 11.3100i | −0.600784 | − | 0.541030i | ||||
\(438\) | −10.1058 | − | 10.1058i | −0.482872 | − | 0.482872i | ||||
\(439\) | −4.88395 | − | 7.59957i | −0.233098 | − | 0.362708i | 0.704924 | − | 0.709283i | \(-0.250981\pi\) |
−0.938022 | + | 0.346575i | \(0.887345\pi\) | |||||||
\(440\) | 0.0551964 | + | 1.72421i | 0.00263139 | + | 0.0821983i | ||||
\(441\) | −2.38183 | + | 5.21547i | −0.113420 | + | 0.248356i | ||||
\(442\) | 27.2951 | + | 14.9042i | 1.29829 | + | 0.708922i | ||||
\(443\) | 8.14253 | − | 21.8310i | 0.386863 | − | 1.03722i | −0.586900 | − | 0.809659i | \(-0.699652\pi\) |
0.973764 | − | 0.227562i | \(-0.0730753\pi\) | |||||||
\(444\) | 0.327549 | + | 0.378011i | 0.0155448 | + | 0.0179396i | ||||
\(445\) | −2.88079 | + | 5.70230i | −0.136563 | + | 0.270315i | ||||
\(446\) | −25.0691 | − | 7.36095i | −1.18706 | − | 0.348551i | ||||
\(447\) | −17.8749 | + | 1.27844i | −0.845455 | + | 0.0604681i | ||||
\(448\) | 3.48687 | − | 0.758522i | 0.164739 | − | 0.0358368i | ||||
\(449\) | −9.17913 | + | 14.2830i | −0.433190 | + | 0.674057i | −0.987386 | − | 0.158329i | \(-0.949389\pi\) |
0.554196 | + | 0.832386i | \(0.313026\pi\) | |||||||
\(450\) | −2.04338 | − | 4.56340i | −0.0963258 | − | 0.215121i | ||||
\(451\) | −1.18093 | + | 4.02188i | −0.0556079 | + | 0.189383i | ||||
\(452\) | −3.35587 | + | 4.48292i | −0.157847 | + | 0.210859i | ||||
\(453\) | −1.23282 | + | 17.2371i | −0.0579231 | + | 0.809871i | ||||
\(454\) | 8.24450 | + | 18.0529i | 0.386934 | + | 0.847266i | ||||
\(455\) | −10.6714 | + | 31.6710i | −0.500281 | + | 1.48476i | ||||
\(456\) | 3.20566 | + | 1.46397i | 0.150119 | + | 0.0685568i | ||||
\(457\) | 19.9780 | − | 14.9554i | 0.934532 | − | 0.699582i | −0.0193342 | − | 0.999813i | \(-0.506155\pi\) |
0.953867 | + | 0.300231i | \(0.0970638\pi\) | |||||||
\(458\) | 1.07807 | − | 4.95579i | 0.0503748 | − | 0.231569i | ||||
\(459\) | 7.42501 | 0.346570 | ||||||||
\(460\) | −9.34505 | + | 5.26023i | −0.435715 | + | 0.245259i | ||||
\(461\) | −33.0821 | −1.54079 | −0.770394 | − | 0.637568i | \(-0.779940\pi\) | ||||
−0.770394 | + | 0.637568i | \(0.779940\pi\) | |||||||
\(462\) | 0.585187 | − | 2.69006i | 0.0272254 | − | 0.125153i | ||||
\(463\) | −7.11887 | + | 5.32912i | −0.330842 | + | 0.247665i | −0.751765 | − | 0.659431i | \(-0.770797\pi\) |
0.420923 | + | 0.907096i | \(0.361706\pi\) | |||||||
\(464\) | 3.37598 | + | 1.54176i | 0.156726 | + | 0.0715743i | ||||
\(465\) | 0.814770 | + | 1.64285i | 0.0377841 | + | 0.0761855i | ||||
\(466\) | 3.72232 | + | 8.15075i | 0.172433 | + | 0.377576i | ||||
\(467\) | 0.830751 | − | 11.6154i | 0.0384426 | − | 0.537498i | −0.941344 | − | 0.337450i | \(-0.890436\pi\) |
0.979786 | − | 0.200048i | \(-0.0641098\pi\) | |||||||
\(468\) | −2.51004 | + | 3.35301i | −0.116026 | + | 0.154993i | ||||
\(469\) | 8.37930 | − | 28.5373i | 0.386920 | − | 1.31773i | ||||
\(470\) | −5.29443 | − | 21.0682i | −0.244214 | − | 0.971804i | ||||
\(471\) | 0.182673 | − | 0.284245i | 0.00841715 | − | 0.0130973i | ||||
\(472\) | 12.8460 | − | 2.79448i | 0.591286 | − | 0.128626i | ||||
\(473\) | 2.72743 | − | 0.195070i | 0.125407 | − | 0.00896932i | ||||
\(474\) | 5.34668 | + | 1.56993i | 0.245581 | + | 0.0721091i | ||||
\(475\) | 15.5273 | − | 8.33005i | 0.712440 | − | 0.382209i | ||||
\(476\) | 17.3509 | + | 20.0240i | 0.795276 | + | 0.917798i | ||||
\(477\) | −4.48356 | + | 12.0209i | −0.205288 | + | 0.550399i | ||||
\(478\) | −20.2462 | − | 11.0552i | −0.926038 | − | 0.505655i | ||||
\(479\) | −5.33800 | + | 11.6886i | −0.243900 | + | 0.534065i | −0.991504 | − | 0.130079i | \(-0.958477\pi\) |
0.747604 | + | 0.664145i | \(0.231204\pi\) | |||||||
\(480\) | 1.52974 | − | 1.63092i | 0.0698227 | − | 0.0744410i | ||||
\(481\) | −1.13263 | − | 1.76240i | −0.0516434 | − | 0.0803587i | ||||
\(482\) | −2.15809 | − | 2.15809i | −0.0982985 | − | 0.0982985i | ||||
\(483\) | 16.5095 | − | 4.50670i | 0.751207 | − | 0.205062i | ||||
\(484\) | − | 10.4048i | − | 0.472946i | ||||||
\(485\) | 13.9691 | + | 15.1156i | 0.634306 | + | 0.686365i | ||||
\(486\) | −0.142315 | + | 0.989821i | −0.00645553 | + | 0.0448992i | ||||
\(487\) | 10.2234 | + | 27.4099i | 0.463265 | + | 1.24206i | 0.933199 | + | 0.359359i | \(0.117005\pi\) |
−0.469935 | + | 0.882701i | \(0.655723\pi\) | |||||||
\(488\) | 6.42657 | − | 11.7694i | 0.290917 | − | 0.532775i | ||||
\(489\) | −2.01141 | + | 0.918581i | −0.0909591 | + | 0.0415396i | ||||
\(490\) | −8.08148 | + | 9.95294i | −0.365084 | + | 0.449628i | ||||
\(491\) | −0.557703 | − | 3.87891i | −0.0251688 | − | 0.175053i | 0.973360 | − | 0.229284i | \(-0.0736383\pi\) |
−0.998528 | + | 0.0542310i | \(0.982729\pi\) | |||||||
\(492\) | 4.76867 | − | 2.60389i | 0.214988 | − | 0.117392i | ||||
\(493\) | 1.96589 | + | 27.4867i | 0.0885392 | + | 1.23794i | ||||
\(494\) | −12.4174 | − | 7.98016i | −0.558684 | − | 0.359044i | ||||
\(495\) | −0.654264 | − | 1.59620i | −0.0294070 | − | 0.0717441i | ||||
\(496\) | −0.537051 | + | 0.619790i | −0.0241143 | + | 0.0278294i | ||||
\(497\) | 23.7190 | + | 43.4381i | 1.06394 | + | 1.94846i | ||||
\(498\) | −1.01792 | − | 0.762004i | −0.0456140 | − | 0.0341462i | ||||
\(499\) | −10.7170 | + | 9.28633i | −0.479759 | + | 0.415713i | −0.860877 | − | 0.508813i | \(-0.830084\pi\) |
0.381118 | + | 0.924526i | \(0.375539\pi\) | |||||||
\(500\) | −1.86292 | − | 11.0240i | −0.0833121 | − | 0.493010i | ||||
\(501\) | 16.6784 | − | 4.89721i | 0.745135 | − | 0.218791i | ||||
\(502\) | −18.5088 | + | 6.90341i | −0.826086 | + | 0.308114i | ||||
\(503\) | −13.0906 | − | 17.4869i | −0.583679 | − | 0.779704i | 0.407361 | − | 0.913267i | \(-0.366449\pi\) |
−0.991040 | + | 0.133563i | \(0.957358\pi\) | |||||||
\(504\) | −3.00194 | + | 1.92923i | −0.133717 | + | 0.0859348i | ||||
\(505\) | −20.8878 | − | 14.6174i | −0.929494 | − | 0.650467i | ||||
\(506\) | −3.28063 | + | 1.71078i | −0.145842 | + | 0.0760535i | ||||
\(507\) | 3.21237 | − | 3.21237i | 0.142667 | − | 0.142667i | ||||
\(508\) | 9.69108 | + | 2.10816i | 0.429972 | + | 0.0935347i | ||||
\(509\) | −30.8446 | − | 4.43479i | −1.36716 | − | 0.196568i | −0.580656 | − | 0.814149i | \(-0.697204\pi\) |
−0.786507 | + | 0.617581i | \(0.788113\pi\) | |||||||
\(510\) | 16.0718 | + | 4.16545i | 0.711671 | + | 0.184449i | ||||
\(511\) | 14.3680 | + | 48.9330i | 0.635604 | + | 2.16467i | ||||
\(512\) | 0.936950 | + | 0.349464i | 0.0414077 | + | 0.0154443i | ||||
\(513\) | −3.51514 | − | 0.251408i | −0.155197 | − | 0.0110999i | ||||
\(514\) | 19.3718 | − | 2.78524i | 0.854454 | − | 0.122852i | ||||
\(515\) | −11.5107 | − | 1.28061i | −0.507223 | − | 0.0564304i | ||||
\(516\) | −2.67863 | − | 2.32105i | −0.117920 | − | 0.102178i | ||||
\(517\) | −1.59316 | − | 7.32363i | −0.0700671 | − | 0.322093i | ||||
\(518\) | −0.379398 | − | 1.74406i | −0.0166698 | − | 0.0766298i | ||||
\(519\) | −2.07406 | − | 1.79718i | −0.0910412 | − | 0.0788876i | ||||
\(520\) | −7.31415 | + | 5.84963i | −0.320747 | + | 0.256523i | ||||
\(521\) | 10.5096 | − | 1.51105i | 0.460433 | − | 0.0662003i | 0.0918047 | − | 0.995777i | \(-0.470736\pi\) |
0.368629 | + | 0.929577i | \(0.379827\pi\) | |||||||
\(522\) | −3.70191 | − | 0.264766i | −0.162028 | − | 0.0115885i | ||||
\(523\) | 24.6677 | + | 9.20056i | 1.07864 | + | 0.402312i | 0.825085 | − | 0.565008i | \(-0.191127\pi\) |
0.253556 | + | 0.967321i | \(0.418400\pi\) | |||||||
\(524\) | 3.79035 | + | 12.9088i | 0.165582 | + | 0.563922i | ||||
\(525\) | −1.40443 | + | 17.7867i | −0.0612945 | + | 0.776277i | ||||
\(526\) | 5.30843 | + | 0.763237i | 0.231459 | + | 0.0332787i | ||||
\(527\) | −5.95009 | − | 1.29436i | −0.259190 | − | 0.0563833i | ||||
\(528\) | 0.545521 | − | 0.545521i | 0.0237408 | − | 0.0237408i | ||||
\(529\) | −18.8594 | − | 13.1652i | −0.819975 | − | 0.572400i | ||||
\(530\) | −16.4486 | + | 23.5045i | −0.714483 | + | 1.02097i | ||||
\(531\) | −11.0595 | + | 7.10752i | −0.479942 | + | 0.308440i | ||||
\(532\) | −7.53624 | − | 10.0672i | −0.326738 | − | 0.436470i | ||||
\(533\) | −21.3221 | + | 7.95272i | −0.923561 | + | 0.344471i | ||||
\(534\) | 2.74137 | − | 0.804939i | 0.118631 | − | 0.0348331i | ||||
\(535\) | 8.59143 | − | 5.91817i | 0.371440 | − | 0.255865i | ||||
\(536\) | 6.29902 | − | 5.45813i | 0.272076 | − | 0.235755i | ||||
\(537\) | −1.16186 | − | 0.869761i | −0.0501382 | − | 0.0375330i | ||||
\(538\) | −3.58700 | − | 6.56910i | −0.154646 | − | 0.283214i | ||||
\(539\) | −2.89670 | + | 3.34297i | −0.124770 | + | 0.143992i | ||||
\(540\) | −0.863340 | + | 2.06268i | −0.0371522 | + | 0.0887636i | ||||
\(541\) | −15.4796 | − | 9.94811i | −0.665518 | − | 0.427703i | 0.163789 | − | 0.986495i | \(-0.447628\pi\) |
−0.829307 | + | 0.558793i | \(0.811265\pi\) | |||||||
\(542\) | −1.84228 | − | 25.7585i | −0.0791327 | − | 1.10642i | ||||
\(543\) | −5.52589 | + | 3.01737i | −0.237139 | + | 0.129488i | ||||
\(544\) | 1.05669 | + | 7.34943i | 0.0453052 | + | 0.315104i | ||||
\(545\) | 2.95376 | + | 28.4641i | 0.126525 | + | 1.21927i | ||||
\(546\) | 13.5954 | − | 6.20883i | 0.581831 | − | 0.265713i | ||||
\(547\) | −6.18511 | + | 11.3272i | −0.264456 | + | 0.484315i | −0.975839 | − | 0.218489i | \(-0.929887\pi\) |
0.711383 | + | 0.702804i | \(0.248069\pi\) | |||||||
\(548\) | −0.581111 | − | 1.55802i | −0.0248238 | − | 0.0665553i | ||||
\(549\) | −1.90840 | + | 13.2732i | −0.0814483 | + | 0.566486i | ||||
\(550\) | −0.520712 | − | 3.82211i | −0.0222032 | − | 0.162975i | ||||
\(551\) | − | 13.0793i | − | 0.557198i | ||||||
\(552\) | 4.57490 | + | 1.43885i | 0.194721 | + | 0.0612416i | ||||
\(553\) | −14.0606 | − | 14.0606i | −0.597916 | − | 0.597916i | ||||
\(554\) | 12.6597 | + | 19.6988i | 0.537858 | + | 0.836923i | ||||
\(555\) | −0.815755 | − | 0.765146i | −0.0346269 | − | 0.0324786i | ||||
\(556\) | 3.58798 | − | 7.85658i | 0.152164 | − | 0.333193i | ||||
\(557\) | 30.6145 | + | 16.7168i | 1.29718 | + | 0.708312i | 0.971471 | − | 0.237159i | \(-0.0762162\pi\) |
0.325706 | + | 0.945471i | \(0.394398\pi\) | |||||||
\(558\) | 0.286596 | − | 0.768392i | 0.0121326 | − | 0.0325286i | ||||
\(559\) | 9.72156 | + | 11.2193i | 0.411178 | + | 0.474525i | ||||
\(560\) | −7.58016 | + | 2.49182i | −0.320320 | + | 0.105299i | ||||
\(561\) | 5.49623 | + | 1.61384i | 0.232051 | + | 0.0681364i | ||||
\(562\) | −22.0378 | + | 1.57617i | −0.929607 | + | 0.0664868i | ||||
\(563\) | 11.0894 | − | 2.41235i | 0.467362 | − | 0.101668i | 0.0272834 | − | 0.999628i | \(-0.491314\pi\) |
0.440078 | + | 0.897959i | \(0.354951\pi\) | |||||||
\(564\) | −5.25230 | + | 8.17273i | −0.221162 | + | 0.344134i | ||||
\(565\) | 6.42922 | − | 10.7451i | 0.270479 | − | 0.452050i | ||||
\(566\) | −0.00981590 | + | 0.0334299i | −0.000412593 | + | 0.00140516i | ||||
\(567\) | 2.13847 | − | 2.85667i | 0.0898074 | − | 0.119969i | ||||
\(568\) | −0.989435 | + | 13.8341i | −0.0415158 | + | 0.580466i | ||||
\(569\) | −0.0976307 | − | 0.213781i | −0.00409289 | − | 0.00896218i | 0.907575 | − | 0.419891i | \(-0.137932\pi\) |
−0.911667 | + | 0.410929i | \(0.865204\pi\) | |||||||
\(570\) | −7.46766 | − | 2.51619i | −0.312786 | − | 0.105392i | ||||
\(571\) | 6.09983 | + | 2.78570i | 0.255270 | + | 0.116578i | 0.538940 | − | 0.842344i | \(-0.318825\pi\) |
−0.283670 | + | 0.958922i | \(0.591552\pi\) | |||||||
\(572\) | −2.58679 | + | 1.93645i | −0.108159 | + | 0.0809670i | ||||
\(573\) | −3.84454 | + | 17.6731i | −0.160608 | + | 0.738302i | ||||
\(574\) | −19.3882 | −0.809247 | ||||||||
\(575\) | 19.5705 | − | 13.8563i | 0.816146 | − | 0.577846i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | 1.69908 | − | 7.81056i | 0.0707338 | − | 0.325158i | −0.928160 | − | 0.372181i | \(-0.878610\pi\) |
0.998894 | + | 0.0470235i | \(0.0149736\pi\) | |||||||
\(578\) | −30.5252 | + | 22.8509i | −1.26968 | + | 0.950472i | ||||
\(579\) | 13.0903 | + | 5.97815i | 0.544016 | + | 0.248444i | ||||
\(580\) | −7.86444 | − | 2.64988i | −0.326553 | − | 0.110030i | ||||
\(581\) | 1.88490 | + | 4.12734i | 0.0781986 | + | 0.171231i | ||||
\(582\) | 0.656645 | − | 9.18109i | 0.0272188 | − | 0.380569i | ||||
\(583\) | −5.93164 | + | 7.92374i | −0.245663 | + | 0.328168i | ||||
\(584\) | −4.02644 | + | 13.7128i | −0.166615 | + | 0.567440i | ||||
\(585\) | 4.80875 | − | 8.03684i | 0.198817 | − | 0.332282i | ||||
\(586\) | 7.32469 | − | 11.3974i | 0.302580 | − | 0.470824i | ||||
\(587\) | −35.5398 | + | 7.73121i | −1.46689 | + | 0.319101i | −0.873897 | − | 0.486110i | \(-0.838415\pi\) |
−0.592988 | + | 0.805212i | \(0.702052\pi\) | |||||||
\(588\) | 5.71900 | − | 0.409031i | 0.235848 | − | 0.0168681i | ||||
\(589\) | 2.77306 | + | 0.814244i | 0.114262 | + | 0.0335504i | ||||
\(590\) | −27.9262 | + | 9.18016i | −1.14970 | + | 0.377941i | ||||
\(591\) | −4.61239 | − | 5.32298i | −0.189728 | − | 0.218958i | ||||
\(592\) | 0.174795 | − | 0.468644i | 0.00718404 | − | 0.0192612i | ||||
\(593\) | 5.76336 | + | 3.14703i | 0.236673 | + | 0.129233i | 0.593209 | − | 0.805048i | \(-0.297861\pi\) |
−0.356537 | + | 0.934281i | \(0.616042\pi\) | |||||||
\(594\) | −0.320486 | + | 0.701766i | −0.0131497 | + | 0.0287938i | ||||
\(595\) | −43.2121 | − | 40.5312i | −1.77152 | − | 1.66162i | ||||
\(596\) | 9.68860 | + | 15.0757i | 0.396860 | + | 0.617527i | ||||
\(597\) | −8.28885 | − | 8.28885i | −0.339240 | − | 0.339240i | ||||
\(598\) | −18.1090 | − | 8.69218i | −0.740531 | − | 0.355450i | ||||
\(599\) | 31.1685i | 1.27351i | 0.771066 | + | 0.636755i | \(0.219724\pi\) | ||||
−0.771066 | + | 0.636755i | \(0.780276\pi\) | |||||||
\(600\) | −3.02591 | + | 3.98043i | −0.123532 | + | 0.162501i | ||||
\(601\) | −5.56989 | + | 38.7394i | −0.227201 | + | 1.58021i | 0.482619 | + | 0.875830i | \(0.339686\pi\) |
−0.709819 | + | 0.704384i | \(0.751223\pi\) | |||||||
\(602\) | 4.41991 | + | 11.8502i | 0.180142 | + | 0.482980i | ||||
\(603\) | −3.99444 | + | 7.31528i | −0.162666 | + | 0.297901i | ||||
\(604\) | 15.7195 | − | 7.17885i | 0.639617 | − | 0.292103i | ||||
\(605\) | 2.40144 | + | 23.1416i | 0.0976325 | + | 0.940840i | ||||
\(606\) | 1.62260 | + | 11.2854i | 0.0659136 | + | 0.458439i | ||||
\(607\) | −5.83561 | + | 3.18648i | −0.236860 | + | 0.129335i | −0.593296 | − | 0.804984i | \(-0.702174\pi\) |
0.356436 | + | 0.934320i | \(0.383992\pi\) | |||||||
\(608\) | −0.251408 | − | 3.51514i | −0.0101959 | − | 0.142558i | ||||
\(609\) | 11.1413 | + | 7.16009i | 0.451469 | + | 0.290142i | ||||
\(610\) | −11.5771 | + | 27.6598i | −0.468744 | + | 1.11991i | ||||
\(611\) | 26.6466 | − | 30.7518i | 1.07800 | − | 1.24408i | ||||
\(612\) | −3.55843 | − | 6.51677i | −0.143841 | − | 0.263425i | ||||
\(613\) | −8.44840 | − | 6.32440i | −0.341228 | − | 0.255440i | 0.414896 | − | 0.909869i | \(-0.363818\pi\) |
−0.756123 | + | 0.654429i | \(0.772909\pi\) | |||||||
\(614\) | 0.154227 | − | 0.133639i | 0.00622411 | − | 0.00539322i | ||||
\(615\) | −10.0051 | + | 6.89199i | −0.403446 | + | 0.277912i | ||||
\(616\) | −2.64146 | + | 0.775602i | −0.106427 | + | 0.0312499i | ||||
\(617\) | 1.50611 | − | 0.561749i | 0.0606336 | − | 0.0226152i | −0.318964 | − | 0.947767i | \(-0.603335\pi\) |
0.379598 | + | 0.925152i | \(0.376062\pi\) | |||||||
\(618\) | 3.10397 | + | 4.14641i | 0.124860 | + | 0.166793i | ||||
\(619\) | 19.7554 | − | 12.6960i | 0.794036 | − | 0.510296i | −0.0796285 | − | 0.996825i | \(-0.525373\pi\) |
0.873665 | + | 0.486529i | \(0.161737\pi\) | |||||||
\(620\) | 1.05142 | − | 1.50244i | 0.0422261 | − | 0.0603395i | ||||
\(621\) | −4.78928 | + | 0.250633i | −0.192187 | + | 0.0100575i | ||||
\(622\) | 12.9946 | − | 12.9946i | 0.521035 | − | 0.521035i | ||||
\(623\) | −9.96234 | − | 2.16718i | −0.399133 | − | 0.0868260i | ||||
\(624\) | 4.14580 | + | 0.596076i | 0.165965 | + | 0.0238622i | ||||
\(625\) | 6.68772 | + | 24.0889i | 0.267509 | + | 0.963555i | ||||
\(626\) | −5.55983 | − | 18.9350i | −0.222215 | − | 0.756796i | ||||
\(627\) | −2.54738 | − | 0.950124i | −0.101733 | − | 0.0379443i | ||||
\(628\) | −0.337022 | − | 0.0241043i | −0.0134487 | − | 0.000961867i | ||||
\(629\) | 3.67604 | − | 0.528535i | 0.146573 | − | 0.0210741i | ||||
\(630\) | 6.23143 | − | 4.98371i | 0.248266 | − | 0.198556i | ||||
\(631\) | 10.6985 | + | 9.27028i | 0.425900 | + | 0.369044i | 0.841276 | − | 0.540605i | \(-0.181805\pi\) |
−0.415377 | + | 0.909650i | \(0.636350\pi\) | |||||||
\(632\) | −1.18450 | − | 5.44505i | −0.0471168 | − | 0.216593i | ||||
\(633\) | −4.12007 | − | 18.9397i | −0.163758 | − | 0.752784i | ||||
\(634\) | 13.8571 | + | 12.0073i | 0.550337 | + | 0.476870i | ||||
\(635\) | −22.0407 | − | 2.45211i | −0.874660 | − | 0.0973090i | ||||
\(636\) | 12.6992 | − | 1.82587i | 0.503557 | − | 0.0724005i | ||||
\(637\) | −23.9537 | − | 1.71320i | −0.949078 | − | 0.0678794i | ||||
\(638\) | −2.68273 | − | 1.00061i | −0.106210 | − | 0.0396144i | ||||
\(639\) | −3.90747 | − | 13.3076i | −0.154577 | − | 0.526442i | ||||
\(640\) | −2.16455 | − | 0.561003i | −0.0855613 | − | 0.0221756i | ||||
\(641\) | 18.6342 | + | 2.67919i | 0.736007 | + | 0.105822i | 0.500117 | − | 0.865958i | \(-0.333290\pi\) |
0.235890 | + | 0.971780i | \(0.424200\pi\) | |||||||
\(642\) | −4.55894 | − | 0.991736i | −0.179927 | − | 0.0391407i | ||||
\(643\) | −9.16987 | + | 9.16987i | −0.361624 | + | 0.361624i | −0.864411 | − | 0.502786i | \(-0.832308\pi\) |
0.502786 | + | 0.864411i | \(0.332308\pi\) | |||||||
\(644\) | −11.8676 | − | 12.3302i | −0.467648 | − | 0.485877i | ||||
\(645\) | 6.49332 | + | 4.54407i | 0.255674 | + | 0.178923i | ||||
\(646\) | 22.0128 | − | 14.1468i | 0.866081 | − | 0.556597i | ||||
\(647\) | 6.56094 | + | 8.76439i | 0.257937 | + | 0.344564i | 0.910752 | − | 0.412954i | \(-0.135503\pi\) |
−0.652815 | + | 0.757518i | \(0.726412\pi\) | |||||||
\(648\) | 0.936950 | − | 0.349464i | 0.0368069 | − | 0.0137282i | ||||
\(649\) | −9.73144 | + | 2.85741i | −0.381993 | + | 0.112163i | ||||
\(650\) | 14.9175 | − | 14.6984i | 0.585111 | − | 0.576519i | ||||
\(651\) | −2.21167 | + | 1.91642i | −0.0866822 | + | 0.0751105i | ||||
\(652\) | 1.77019 | + | 1.32514i | 0.0693258 | + | 0.0518967i | ||||
\(653\) | 22.6780 | + | 41.5317i | 0.887459 | + | 1.62526i | 0.775321 | + | 0.631567i | \(0.217588\pi\) |
0.112138 | + | 0.993693i | \(0.464230\pi\) | |||||||
\(654\) | 8.38082 | − | 9.67199i | 0.327716 | − | 0.378205i | ||||
\(655\) | −11.4096 | − | 27.8359i | −0.445809 | − | 1.08764i | ||||
\(656\) | −4.57076 | − | 2.93745i | −0.178458 | − | 0.114688i | ||||
\(657\) | −1.01956 | − | 14.2553i | −0.0397768 | − | 0.556152i | ||||
\(658\) | 30.4265 | − | 16.6141i | 1.18615 | − | 0.647686i | ||||
\(659\) | −4.23637 | − | 29.4646i | −0.165026 | − | 1.14778i | −0.888985 | − | 0.457936i | \(-0.848589\pi\) |
0.723960 | − | 0.689842i | \(-0.242320\pi\) | |||||||
\(660\) | −1.08740 | + | 1.33921i | −0.0423270 | + | 0.0521288i | ||||
\(661\) | 24.0683 | − | 10.9916i | 0.936149 | − | 0.427525i | 0.111879 | − | 0.993722i | \(-0.464313\pi\) |
0.824270 | + | 0.566197i | \(0.191586\pi\) | |||||||
\(662\) | −8.22684 | + | 15.0663i | −0.319745 | + | 0.585570i | ||||
\(663\) | 10.8680 | + | 29.1383i | 0.422080 | + | 1.13164i | ||||
\(664\) | −0.180959 | + | 1.25860i | −0.00702256 | + | 0.0488430i | ||||
\(665\) | 19.0851 | + | 20.6514i | 0.740087 | + | 0.800828i | ||||
\(666\) | 0.500181i | 0.0193816i | ||||||||
\(667\) | −2.19586 | − | 17.6631i | −0.0850240 | − | 0.683919i | ||||
\(668\) | −12.2913 | − | 12.2913i | −0.475564 | − | 0.475564i | ||||
\(669\) | −14.1256 | − | 21.9798i | −0.546125 | − | 0.849788i | ||||
\(670\) | −12.7501 | + | 13.5934i | −0.492578 | + | 0.525158i | ||||
\(671\) | −4.29761 | + | 9.41045i | −0.165907 | + | 0.363286i | ||||
\(672\) | 3.13193 | + | 1.71016i | 0.120817 | + | 0.0659709i | ||||
\(673\) | −3.45300 | + | 9.25786i | −0.133104 | + | 0.356864i | −0.986354 | − | 0.164636i | \(-0.947355\pi\) |
0.853251 | + | 0.521501i | \(0.174628\pi\) | |||||||
\(674\) | −11.2879 | − | 13.0269i | −0.434793 | − | 0.501778i | ||||
\(675\) | 1.44411 | − | 4.78691i | 0.0555837 | − | 0.184248i | ||||
\(676\) | −4.35896 | − | 1.27991i | −0.167652 | − | 0.0492272i | ||||
\(677\) | 46.1504 | − | 3.30074i | 1.77371 | − | 0.126858i | 0.854202 | − | 0.519941i | \(-0.174046\pi\) |
0.919503 | + | 0.393083i | \(0.128591\pi\) | |||||||
\(678\) | −5.47189 | + | 1.19034i | −0.210147 | + | 0.0457146i | ||||
\(679\) | −17.7577 | + | 27.6315i | −0.681478 | + | 1.06040i | ||||
\(680\) | −4.04646 | − | 16.1022i | −0.155175 | − | 0.617490i | ||||
\(681\) | −5.59138 | + | 19.0425i | −0.214262 | + | 0.729710i | ||||
\(682\) | 0.379159 | − | 0.506497i | 0.0145187 | − | 0.0193948i | ||||
\(683\) | −2.22338 | + | 31.0869i | −0.0850751 | + | 1.18951i | 0.758200 | + | 0.652023i | \(0.226079\pi\) |
−0.843275 | + | 0.537483i | \(0.819375\pi\) | |||||||
\(684\) | 1.46397 | + | 3.20566i | 0.0559764 | + | 0.122571i | ||||
\(685\) | 1.65206 | + | 3.33111i | 0.0631218 | + | 0.127275i | ||||
\(686\) | 4.11064 | + | 1.87727i | 0.156945 | + | 0.0716744i | ||||
\(687\) | 4.06010 | − | 3.03935i | 0.154903 | − | 0.115959i | ||||
\(688\) | −0.753404 | + | 3.46334i | −0.0287232 | + | 0.132039i | ||||
\(689\) | −53.7368 | −2.04721 | ||||||||
\(690\) | −10.5072 | − | 2.14429i | −0.400004 | − | 0.0816318i | ||||
\(691\) | −11.6597 | −0.443556 | −0.221778 | − | 0.975097i | \(-0.571186\pi\) | ||||
−0.221778 | + | 0.975097i | \(0.571186\pi\) | |||||||
\(692\) | −0.583359 | + | 2.68166i | −0.0221760 | + | 0.101941i | ||||
\(693\) | 2.20387 | − | 1.64980i | 0.0837181 | − | 0.0626706i | ||||
\(694\) | −7.14539 | − | 3.26319i | −0.271235 | − | 0.123869i | ||||
\(695\) | −6.16681 | + | 18.3021i | −0.233920 | + | 0.694239i | ||||
\(696\) | 1.54176 | + | 3.37598i | 0.0584402 | + | 0.127966i | ||||
\(697\) | 2.87797 | − | 40.2393i | 0.109011 | − | 1.52417i | ||||
\(698\) | −0.103797 | + | 0.138656i | −0.00392877 | + | 0.00524822i | ||||
\(699\) | −2.52446 | + | 8.59753i | −0.0954839 | + | 0.325188i | ||||
\(700\) | 16.2841 | − | 7.29163i | 0.615482 | − | 0.275598i | ||||
\(701\) | 7.00218 | − | 10.8956i | 0.264469 | − | 0.411521i | −0.683468 | − | 0.729981i | \(-0.739529\pi\) |
0.947937 | + | 0.318459i | \(0.103165\pi\) | |||||||
\(702\) | −4.09272 | + | 0.890316i | −0.154470 | + | 0.0336028i | ||||
\(703\) | −1.75821 | + | 0.125749i | −0.0663120 | + | 0.00474273i | ||||
\(704\) | −0.740233 | − | 0.217352i | −0.0278986 | − | 0.00819176i | ||||
\(705\) | 9.79549 | − | 19.3894i | 0.368919 | − | 0.730248i | ||||
\(706\) | −18.6019 | − | 21.4678i | −0.700093 | − | 0.807951i | ||||
\(707\) | 14.2180 | − | 38.1200i | 0.534724 | − | 1.43365i | ||||
\(708\) | 11.5384 | + | 6.30043i | 0.433639 | + | 0.236785i | ||||
\(709\) | −12.6248 | + | 27.6444i | −0.474134 | + | 1.03821i | 0.509901 | + | 0.860233i | \(0.329682\pi\) |
−0.984035 | + | 0.177975i | \(0.943045\pi\) | |||||||
\(710\) | −0.992301 | − | 30.9971i | −0.0372404 | − | 1.16330i | ||||
\(711\) | 3.01267 | + | 4.68780i | 0.112984 | + | 0.175806i | ||||
\(712\) | −2.02028 | − | 2.02028i | −0.0757131 | − | 0.0757131i | ||||
\(713\) | 3.88162 | + | 0.634043i | 0.145368 | + | 0.0237451i | ||||
\(714\) | 26.4955i | 0.991570i | ||||||||
\(715\) | 5.30642 | − | 4.90394i | 0.198449 | − | 0.183397i | ||||
\(716\) | −0.206549 | + | 1.43658i | −0.00771908 | + | 0.0536874i | ||||
\(717\) | −8.06139 | − | 21.6134i | −0.301058 | − | 0.807168i | ||||
\(718\) | 13.0008 | − | 23.8092i | 0.485186 | − | 0.888553i | ||||
\(719\) | −0.569130 | + | 0.259913i | −0.0212250 | + | 0.00969312i | −0.425999 | − | 0.904724i | \(-0.640077\pi\) |
0.404774 | + | 0.914417i | \(0.367350\pi\) | |||||||
\(720\) | 2.22412 | − | 0.230801i | 0.0828882 | − | 0.00860145i | ||||
\(721\) | −2.63036 | − | 18.2945i | −0.0979597 | − | 0.681324i | ||||
\(722\) | 5.77562 | − | 3.15373i | 0.214946 | − | 0.117370i | ||||
\(723\) | −0.217728 | − | 3.04423i | −0.00809738 | − | 0.113216i | ||||
\(724\) | 5.29656 | + | 3.40389i | 0.196845 | + | 0.126505i | ||||
\(725\) | 18.1031 | + | 4.07855i | 0.672332 | + | 0.151473i | ||||
\(726\) | 6.81370 | − | 7.86343i | 0.252880 | − | 0.291839i | ||||
\(727\) | −11.2038 | − | 20.5183i | −0.415527 | − | 0.760981i | 0.583152 | − | 0.812363i | \(-0.301819\pi\) |
−0.998679 | + | 0.0513819i | \(0.983637\pi\) | |||||||
\(728\) | −11.9650 | − | 8.95685i | −0.443451 | − | 0.331963i | ||||
\(729\) | −0.755750 | + | 0.654861i | −0.0279907 | + | 0.0242541i | ||||
\(730\) | 5.79038 | − | 31.4283i | 0.214311 | − | 1.16321i | ||||
\(731\) | −25.2507 | + | 7.41429i | −0.933932 | + | 0.274227i | ||||
\(732\) | 12.5642 | − | 4.68620i | 0.464386 | − | 0.173207i | ||||
\(733\) | −0.0618583 | − | 0.0826330i | −0.00228479 | − | 0.00305212i | 0.799397 | − | 0.600803i | \(-0.205152\pi\) |
−0.801682 | + | 0.597751i | \(0.796061\pi\) | |||||||
\(734\) | −15.9067 | + | 10.2226i | −0.587125 | + | 0.377323i | ||||
\(735\) | −12.6254 | + | 2.22969i | −0.465693 | + | 0.0822433i | ||||
\(736\) | −0.929667 | − | 4.70486i | −0.0342680 | − | 0.173423i | ||||
\(737\) | −4.54681 | + | 4.54681i | −0.167484 | + | 0.167484i | ||||
\(738\) | 5.30910 | + | 1.15492i | 0.195431 | + | 0.0425134i | ||||
\(739\) | 13.8078 | + | 1.98526i | 0.507929 | + | 0.0730291i | 0.391515 | − | 0.920172i | \(-0.371951\pi\) |
0.116414 | + | 0.993201i | \(0.462860\pi\) | |||||||
\(740\) | −0.280603 | + | 1.08267i | −0.0103152 | + | 0.0397996i | ||||
\(741\) | −4.15853 | − | 14.1627i | −0.152767 | − | 0.520278i | ||||
\(742\) | −42.8956 | − | 15.9992i | −1.57475 | − | 0.587350i | ||||
\(743\) | −9.93173 | − | 0.710331i | −0.364360 | − | 0.0260595i | −0.112041 | − | 0.993704i | \(-0.535739\pi\) |
−0.252319 | + | 0.967644i | \(0.581193\pi\) | |||||||
\(744\) | −0.811752 | + | 0.116712i | −0.0297603 | + | 0.00427888i | ||||
\(745\) | −25.0281 | − | 31.2942i | −0.916960 | − | 1.14653i | ||||
\(746\) | −12.7488 | − | 11.0469i | −0.466766 | − | 0.404455i | ||||
\(747\) | −0.270285 | − | 1.24248i | −0.00988920 | − | 0.0454599i | ||||
\(748\) | −1.21763 | − | 5.59736i | −0.0445210 | − | 0.204660i | ||||
\(749\) | 12.5822 | + | 10.9026i | 0.459745 | + | 0.398371i | ||||
\(750\) | 5.81132 | − | 9.55137i | 0.212199 | − | 0.348767i | ||||
\(751\) | 46.6404 | − | 6.70588i | 1.70193 | − | 0.244701i | 0.778276 | − | 0.627922i | \(-0.216094\pi\) |
0.923657 | + | 0.383221i | \(0.125185\pi\) | |||||||
\(752\) | 9.69019 | + | 0.693056i | 0.353365 | + | 0.0252732i | ||||
\(753\) | −18.5088 | − | 6.90341i | −0.674496 | − | 0.251574i | ||||
\(754\) | −4.37948 | − | 14.9152i | −0.159491 | − | 0.543178i | ||||
\(755\) | −33.3052 | + | 19.5947i | −1.21210 | + | 0.713125i | ||||
\(756\) | −3.53210 | − | 0.507839i | −0.128461 | − | 0.0184699i | ||||
\(757\) | 42.8965 | + | 9.33156i | 1.55910 | + | 0.339161i | 0.907715 | − | 0.419587i | \(-0.137825\pi\) |
0.651384 | + | 0.758748i | \(0.274189\pi\) | |||||||
\(758\) | 8.81564 | − | 8.81564i | 0.320199 | − | 0.320199i | ||||
\(759\) | −3.59966 | − | 0.855432i | −0.130659 | − | 0.0310502i | ||||
\(760\) | 1.37046 | + | 7.76009i | 0.0497119 | + | 0.281488i | ||||
\(761\) | 4.63322 | − | 2.97759i | 0.167954 | − | 0.107937i | −0.453963 | − | 0.891020i | \(-0.649990\pi\) |
0.621917 | + | 0.783083i | \(0.286354\pi\) | |||||||
\(762\) | 5.94347 | + | 7.93955i | 0.215309 | + | 0.287620i | ||||
\(763\) | −42.7888 | + | 15.9594i | −1.54906 | + | 0.577769i | ||||
\(764\) | 17.3538 | − | 5.09552i | 0.627837 | − | 0.184350i | ||||
\(765\) | 9.41846 | + | 13.6728i | 0.340525 | + | 0.494342i | ||||
\(766\) | −15.2826 | + | 13.2424i | −0.552183 | + | 0.478469i | ||||
\(767\) | −44.0803 | − | 32.9981i | −1.59165 | − | 1.19149i | ||||
\(768\) | 0.479249 | + | 0.877679i | 0.0172934 | + | 0.0316705i | ||||
\(769\) | −30.2976 | + | 34.9653i | −1.09256 | + | 1.26088i | −0.129502 | + | 0.991579i | \(0.541338\pi\) |
−0.963056 | + | 0.269301i | \(0.913208\pi\) | |||||||
\(770\) | 5.69593 | − | 2.33469i | 0.205267 | − | 0.0841363i | ||||
\(771\) | 16.4642 | + | 10.5809i | 0.592943 | + | 0.381061i | ||||
\(772\) | −1.02663 | − | 14.3541i | −0.0369491 | − | 0.516616i | ||||
\(773\) | −14.1689 | + | 7.73680i | −0.509619 | + | 0.278273i | −0.713417 | − | 0.700740i | \(-0.752853\pi\) |
0.203797 | + | 0.979013i | \(0.434672\pi\) | |||||||
\(774\) | −0.504412 | − | 3.50826i | −0.0181307 | − | 0.126102i | ||||
\(775\) | −1.99172 | + | 3.58429i | −0.0715449 | + | 0.128751i | ||||
\(776\) | −8.37275 | + | 3.82371i | −0.300564 | + | 0.137263i | ||||
\(777\) | 0.855389 | − | 1.56653i | 0.0306869 | − | 0.0561989i | ||||
\(778\) | 1.70820 | + | 4.57987i | 0.0612420 | + | 0.164196i | ||||
\(779\) | −2.72498 | + | 18.9526i | −0.0976324 | + | 0.679048i | ||||
\(780\) | −9.35836 | − | 0.368892i | −0.335083 | − | 0.0132085i | ||||
\(781\) | − | 10.7000i | − | 0.382878i | ||||||
\(782\) | 27.3524 | − | 22.8003i | 0.978118 | − | 0.815338i | ||||
\(783\) | −2.62433 | − | 2.62433i | −0.0937861 | − | 0.0937861i | ||||
\(784\) | −3.09982 | − | 4.82342i | −0.110708 | − | 0.172265i | ||||
\(785\) | 0.755143 | − | 0.0241741i | 0.0269522 | − | 0.000862812i | ||||
\(786\) | −5.58888 | + | 12.2379i | −0.199349 | + | 0.436513i | ||||
\(787\) | −5.49055 | − | 2.99806i | −0.195717 | − | 0.106869i | 0.378402 | − | 0.925641i | \(-0.376474\pi\) |
−0.574119 | + | 0.818772i | \(0.694655\pi\) | |||||||
\(788\) | −2.46139 | + | 6.59923i | −0.0876833 | + | 0.235088i | ||||
\(789\) | 3.51203 | + | 4.05310i | 0.125032 | + | 0.144294i | ||||
\(790\) | 3.89120 | + | 11.8371i | 0.138443 | + | 0.421145i | ||||
\(791\) | 19.1732 | + | 5.62976i | 0.681721 | + | 0.200171i | ||||
\(792\) | 0.769517 | − | 0.0550370i | 0.0273436 | − | 0.00195565i | ||||
\(793\) | −54.8820 | + | 11.9388i | −1.94892 | + | 0.423961i | ||||
\(794\) | 2.14878 | − | 3.34357i | 0.0762574 | − | 0.118659i | ||||
\(795\) | −27.8232 | + | 6.99196i | −0.986789 | + | 0.247979i | ||||
\(796\) | −3.30253 | + | 11.2474i | −0.117055 | + | 0.398653i | ||||
\(797\) | −21.3759 | + | 28.5548i | −0.757172 | + | 1.01146i | 0.241979 | + | 0.970281i | \(0.422203\pi\) |
−0.999152 | + | 0.0411826i | \(0.986887\pi\) | |||||||
\(798\) | 0.897129 | − | 12.5435i | 0.0317580 | − | 0.444035i | ||||
\(799\) | 29.9654 | + | 65.6150i | 1.06010 | + | 2.32129i | ||||
\(800\) | 4.94371 | + | 0.748160i | 0.174787 | + | 0.0264514i | ||||
\(801\) | 2.59891 | + | 1.18688i | 0.0918281 | + | 0.0419365i | ||||
\(802\) | −4.61800 | + | 3.45699i | −0.163067 | + | 0.122071i | ||||
\(803\) | 2.34371 | − | 10.7738i | 0.0827076 | − | 0.380201i | ||||
\(804\) | 8.33480 | 0.293946 | ||||||||
\(805\) | 29.2408 | + | 24.6848i | 1.03060 | + | 0.870026i | ||||
\(806\) | 3.43493 | 0.120990 | ||||||||
\(807\) | 1.59097 | − | 7.31358i | 0.0560048 | − | 0.257450i | ||||
\(808\) | 9.12735 | − | 6.83265i | 0.321099 | − | 0.240372i | ||||
\(809\) | 5.37518 | + | 2.45476i | 0.188981 | + | 0.0863048i | 0.507658 | − | 0.861559i | \(-0.330511\pi\) |
−0.318677 | + | 0.947863i | \(0.603239\pi\) | |||||||
\(810\) | −2.00324 | + | 0.993501i | −0.0703865 | + | 0.0349081i | ||||
\(811\) | 17.6643 | + | 38.6793i | 0.620276 | + | 1.35821i | 0.915318 | + | 0.402731i | \(0.131939\pi\) |
−0.295042 | + | 0.955484i | \(0.595334\pi\) | |||||||
\(812\) | 0.944796 | − | 13.2100i | 0.0331558 | − | 0.463579i | ||||
\(813\) | 15.4759 | − | 20.6734i | 0.542763 | − | 0.725047i | ||||
\(814\) | −0.108715 | + | 0.370250i | −0.00381047 | + | 0.0129773i | ||||
\(815\) | −4.24296 | − | 2.53873i | −0.148624 | − | 0.0889277i | ||||
\(816\) | −4.01426 | + | 6.24631i | −0.140527 | + | 0.218665i | ||||
\(817\) | 12.2052 | − | 2.65509i | 0.427007 | − | 0.0928897i | ||||
\(818\) | 14.7822 | − | 1.05724i | 0.516846 | − | 0.0369656i | ||||
\(819\) | 14.3407 | + | 4.21080i | 0.501103 | + | 0.147137i | ||||
\(820\) | 10.8439 | + | 5.47831i | 0.378686 | + | 0.191311i | ||||
\(821\) | −18.9857 | − | 21.9106i | −0.662605 | − | 0.764686i | 0.320596 | − | 0.947216i | \(-0.396117\pi\) |
−0.983200 | + | 0.182530i | \(0.941571\pi\) | |||||||
\(822\) | 0.581111 | − | 1.55802i | 0.0202686 | − | 0.0543422i | ||||
\(823\) | −1.15794 | − | 0.632284i | −0.0403633 | − | 0.0220400i | 0.458941 | − | 0.888467i | \(-0.348229\pi\) |
−0.499304 | + | 0.866427i | \(0.666411\pi\) | |||||||
\(824\) | 2.15165 | − | 4.71145i | 0.0749562 | − | 0.164131i | ||||
\(825\) | 2.10942 | − | 3.22955i | 0.0734406 | − | 0.112439i | ||||
\(826\) | −25.3626 | − | 39.4650i | −0.882477 | − | 1.37316i | ||||
\(827\) | 29.8965 | + | 29.8965i | 1.03960 | + | 1.03960i | 0.999183 | + | 0.0404218i | \(0.0128702\pi\) |
0.0404218 | + | 0.999183i | \(0.487130\pi\) | |||||||
\(828\) | 2.51523 | + | 4.08333i | 0.0874103 | + | 0.141906i | ||||
\(829\) | 45.3077i | 1.57360i | 0.617206 | + | 0.786802i | \(0.288264\pi\) | ||||
−0.617206 | + | 0.786802i | \(0.711736\pi\) | |||||||
\(830\) | 0.111989 | − | 2.84104i | 0.00388721 | − | 0.0986139i | ||||
\(831\) | −3.33245 | + | 23.1777i | −0.115601 | + | 0.804026i | ||||
\(832\) | −1.46371 | − | 3.92435i | −0.0507449 | − | 0.136052i | ||||
\(833\) | 20.4026 | − | 37.3646i | 0.706909 | − | 1.29461i | ||||
\(834\) | 7.85658 | − | 3.58798i | 0.272051 | − | 0.124242i | ||||
\(835\) | 30.1742 | + | 24.5005i | 1.04422 | + | 0.847875i | ||||
\(836\) | 0.386926 | + | 2.69113i | 0.0133821 | + | 0.0930746i | ||||
\(837\) | 0.719784 | − | 0.393032i | 0.0248794 | − | 0.0135852i | ||||
\(838\) | 1.36609 | + | 19.1005i | 0.0471909 | + | 0.659815i | ||||
\(839\) | 30.1730 | + | 19.3910i | 1.04169 | + | 0.669453i | 0.945404 | − | 0.325901i | \(-0.105668\pi\) |
0.0962851 | + | 0.995354i | \(0.469304\pi\) | |||||||
\(840\) | −7.36050 | − | 3.08076i | −0.253961 | − | 0.106296i | ||||
\(841\) | −9.97074 | + | 11.5068i | −0.343819 | + | 0.396788i | ||||
\(842\) | −2.69576 | − | 4.93691i | −0.0929019 | − | 0.170137i | ||||
\(843\) | −17.6872 | − | 13.2405i | −0.609180 | − | 0.456026i | ||||
\(844\) | −14.6484 | + | 12.6929i | −0.504219 | + | 0.436908i | ||||
\(845\) | 9.99027 | + | 1.84062i | 0.343676 | + | 0.0633192i | ||||
\(846\) | −9.32142 | + | 2.73702i | −0.320477 | + | 0.0941006i | ||||
\(847\) | −34.7877 | + | 12.9752i | −1.19532 | + | 0.445832i | ||||
\(848\) | −7.68862 | − | 10.2708i | −0.264028 | − | 0.352700i | ||||
\(849\) | −0.0293103 | + | 0.0188366i | −0.00100593 | + | 0.000646470i | ||||
\(850\) | 12.7162 | + | 34.8793i | 0.436163 | + | 1.19635i | ||||
\(851\) | −2.35328 | + | 0.465002i | −0.0806694 | + | 0.0159400i | ||||
\(852\) | −9.80718 | + | 9.80718i | −0.335988 | + | 0.335988i | ||||
\(853\) | −45.3765 | − | 9.87106i | −1.55366 | − | 0.337979i | −0.647887 | − | 0.761736i | \(-0.724347\pi\) |
−0.905776 | + | 0.423758i | \(0.860711\pi\) | |||||||
\(854\) | −47.3643 | − | 6.80995i | −1.62077 | − | 0.233032i | ||||
\(855\) | −3.99593 | − | 6.79189i | −0.136658 | − | 0.232278i | ||||
\(856\) | 1.31444 | + | 4.47657i | 0.0449266 | + | 0.153006i | ||||
\(857\) | 44.4910 | + | 16.5943i | 1.51978 | + | 0.566850i | 0.964331 | − | 0.264699i | \(-0.0852727\pi\) |
0.555452 | + | 0.831549i | \(0.312545\pi\) | |||||||
\(858\) | −3.22307 | − | 0.230519i | −0.110034 | − | 0.00786978i | ||||
\(859\) | 21.3002 | − | 3.06250i | 0.726752 | − | 0.104491i | 0.230998 | − | 0.972954i | \(-0.425801\pi\) |
0.495754 | + | 0.868463i | \(0.334892\pi\) | |||||||
\(860\) | 0.876321 | − | 7.87679i | 0.0298823 | − | 0.268596i | ||||
\(861\) | −14.6526 | − | 12.6966i | −0.499360 | − | 0.432698i | ||||
\(862\) | 5.78133 | + | 26.5763i | 0.196913 | + | 0.905194i | ||||
\(863\) | 7.99657 | + | 36.7596i | 0.272206 | + | 1.25131i | 0.886683 | + | 0.462378i | \(0.153004\pi\) |
−0.614477 | + | 0.788935i | \(0.710633\pi\) | |||||||
\(864\) | −0.755750 | − | 0.654861i | −0.0257111 | − | 0.0222788i | ||||
\(865\) | 0.678534 | − | 6.09898i | 0.0230708 | − | 0.207372i | ||||
\(866\) | −14.2961 | + | 2.05547i | −0.485802 | + | 0.0698478i | ||||
\(867\) | −38.0336 | − | 2.72022i | −1.29169 | − | 0.0923834i | ||||
\(868\) | 2.74194 | + | 1.02269i | 0.0930677 | + | 0.0347124i | ||||
\(869\) | 1.21117 | + | 4.12487i | 0.0410862 | + | 0.139927i | ||||
\(870\) | −4.20824 | − | 7.15276i | −0.142673 | − | 0.242501i | ||||
\(871\) | −34.5544 | − | 4.96818i | −1.17083 | − | 0.168340i | ||||
\(872\) | −12.5054 | − | 2.72038i | −0.423486 | − | 0.0921238i | ||||
\(873\) | 6.50860 | − | 6.50860i | 0.220283 | − | 0.220283i | ||||
\(874\) | −13.7212 | + | 9.86798i | −0.464125 | + | 0.333790i | ||||
\(875\) | −34.5350 | + | 19.9759i | −1.16750 | + | 0.675308i | ||||
\(876\) | −12.0230 | + | 7.72668i | −0.406218 | + | 0.261060i | ||||
\(877\) | 26.6738 | + | 35.6320i | 0.900710 | + | 1.20321i | 0.978502 | + | 0.206238i | \(0.0661223\pi\) |
−0.0777915 | + | 0.996970i | \(0.524787\pi\) | |||||||
\(878\) | −8.46405 | + | 3.15693i | −0.285648 | + | 0.106541i | ||||
\(879\) | 12.9994 | − | 3.81696i | 0.438458 | − | 0.128743i | ||||
\(880\) | 1.69653 | + | 0.312571i | 0.0571902 | + | 0.0105368i | ||||
\(881\) | 29.1273 | − | 25.2389i | 0.981324 | − | 0.850322i | −0.00741539 | − | 0.999973i | \(-0.502360\pi\) |
0.988739 | + | 0.149651i | \(0.0478150\pi\) | |||||||
\(882\) | 4.58999 | + | 3.43602i | 0.154553 | + | 0.115697i | ||||
\(883\) | −3.90299 | − | 7.14779i | −0.131346 | − | 0.240542i | 0.803726 | − | 0.594999i | \(-0.202848\pi\) |
−0.935072 | + | 0.354457i | \(0.884666\pi\) | |||||||
\(884\) | 20.3656 | − | 23.5032i | 0.684970 | − | 0.790497i | ||||
\(885\) | −27.1169 | − | 11.3499i | −0.911526 | − | 0.381522i | ||||
\(886\) | −19.6012 | − | 12.5970i | −0.658517 | − | 0.423203i | ||||
\(887\) | −1.49127 | − | 20.8507i | −0.0500720 | − | 0.700098i | −0.959047 | − | 0.283247i | \(-0.908588\pi\) |
0.908975 | − | 0.416851i | \(-0.136866\pi\) | |||||||
\(888\) | 0.438998 | − | 0.239711i | 0.0147318 | − | 0.00804418i | ||||
\(889\) | −5.03661 | − | 35.0304i | −0.168922 | − | 1.17488i | ||||
\(890\) | 4.95963 | + | 4.02707i | 0.166247 | + | 0.134988i | ||||
\(891\) | −0.701766 | + | 0.320486i | −0.0235100 | + | 0.0107367i | ||||
\(892\) | −12.5215 | + | 22.9315i | −0.419252 | + | 0.767803i | ||||
\(893\) | −11.9645 | − | 32.0780i | −0.400376 | − | 1.07345i | ||||
\(894\) | −2.55036 | + | 17.7382i | −0.0852969 | + | 0.593253i | ||||
\(895\) | 0.127826 | − | 3.24280i | 0.00427276 | − | 0.108395i | ||||
\(896\) | − | 3.56842i | − | 0.119212i | ||||||
\(897\) | −7.99367 | − | 18.4280i | −0.266901 | − | 0.615292i | ||||
\(898\) | 12.0054 | + | 12.0054i | 0.400626 | + | 0.400626i | ||||
\(899\) | 1.64554 | + | 2.56052i | 0.0548820 | + | 0.0853980i | ||||
\(900\) | −4.89346 | + | 1.02666i | −0.163115 | + | 0.0342220i | ||||
\(901\) | 39.5730 | − | 86.6529i | 1.31837 | − | 2.88683i | ||||
\(902\) | 3.67895 | + | 2.00886i | 0.122496 | + | 0.0668876i | ||||
\(903\) | −4.41991 | + | 11.8502i | −0.147086 | + | 0.394352i | ||||
\(904\) | 3.66713 | + | 4.23209i | 0.121967 | + | 0.140757i | ||||
\(905\) | −12.5658 | − | 6.34823i | −0.417702 | − | 0.211022i | ||||
\(906\) | 16.5811 | + | 4.86866i | 0.550872 | + | 0.161750i | ||||
\(907\) | 23.7401 | − | 1.69793i | 0.788278 | − | 0.0563787i | 0.328605 | − | 0.944467i | \(-0.393421\pi\) |
0.459672 | + | 0.888089i | \(0.347967\pi\) | |||||||
\(908\) | 19.3929 | − | 4.21866i | 0.643575 | − | 0.140001i | ||||
\(909\) | −6.16410 | + | 9.59153i | −0.204450 | + | 0.318131i | ||||
\(910\) | 28.6788 | + | 17.1596i | 0.950693 | + | 0.568836i | ||||
\(911\) | 3.34918 | − | 11.4063i | 0.110963 | − | 0.377907i | −0.885222 | − | 0.465169i | \(-0.845994\pi\) |
0.996185 | + | 0.0872621i | \(0.0278118\pi\) | |||||||
\(912\) | 2.11193 | − | 2.82121i | 0.0699329 | − | 0.0934195i | ||||
\(913\) | 0.0699816 | − | 0.978470i | 0.00231605 | − | 0.0323826i | ||||
\(914\) | −10.3669 | − | 22.7004i | −0.342908 | − | 0.750864i | ||||
\(915\) | −26.8627 | + | 13.3225i | −0.888055 | + | 0.440429i | ||||
\(916\) | −4.61338 | − | 2.10686i | −0.152430 | − | 0.0696126i | ||||
\(917\) | 38.4328 | − | 28.7705i | 1.26916 | − | 0.950084i | ||||
\(918\) | 1.57830 | − | 7.25532i | 0.0520916 | − | 0.239461i | ||||
\(919\) | 19.8734 | 0.655562 | 0.327781 | − | 0.944754i | \(-0.393699\pi\) | ||||
0.327781 | + | 0.944754i | \(0.393699\pi\) | |||||||
\(920\) | 3.15358 | + | 10.2496i | 0.103971 | + | 0.337920i | ||||
\(921\) | 0.204072 | 0.00672440 | ||||||||
\(922\) | −7.03211 | + | 32.3261i | −0.231590 | + | 1.06460i | ||||
\(923\) | 46.5044 | − | 34.8128i | 1.53071 | − | 1.14588i | ||||
\(924\) | −2.50419 | − | 1.14363i | −0.0823819 | − | 0.0376226i | ||||
\(925\) | 0.374215 | − | 2.47275i | 0.0123041 | − | 0.0813035i | ||||
\(926\) | 3.69411 | + | 8.08896i | 0.121396 | + | 0.265820i | ||||
\(927\) | −0.369502 | + | 5.16632i | −0.0121360 | + | 0.169684i | ||||
\(928\) | 2.22414 | − | 2.97110i | 0.0730110 | − | 0.0975313i | ||||
\(929\) | 3.32656 | − | 11.3292i | 0.109141 | − | 0.371699i | −0.886751 | − | 0.462247i | \(-0.847043\pi\) |
0.995892 | + | 0.0905474i | \(0.0288617\pi\) | |||||||
\(930\) | 1.77850 | − | 0.446936i | 0.0583194 | − | 0.0146556i | ||||
\(931\) | −10.9242 | + | 16.9983i | −0.358025 | + | 0.557097i | ||||
\(932\) | 8.75571 | − | 1.90469i | 0.286803 | − | 0.0623902i | ||||
\(933\) | 18.3303 | − | 1.31101i | 0.600106 | − | 0.0429204i | ||||
\(934\) | −11.1734 | − | 3.28080i | −0.365604 | − | 0.107351i | ||||
\(935\) | 4.00004 | + | 12.1682i | 0.130815 | + | 0.397942i | ||||
\(936\) | 2.74284 | + | 3.16541i | 0.0896526 | + | 0.103465i | ||||
\(937\) | 5.30609 | − | 14.2262i | 0.173342 | − | 0.464749i | −0.821005 | − | 0.570920i | \(-0.806586\pi\) |
0.994348 | + | 0.106171i | \(0.0338592\pi\) | |||||||
\(938\) | −26.1040 | − | 14.2538i | −0.852325 | − | 0.465405i | ||||
\(939\) | 8.19797 | − | 17.9511i | 0.267531 | − | 0.585810i | ||||
\(940\) | −21.7122 | + | 0.695064i | −0.708172 | + | 0.0226705i | ||||
\(941\) | −14.7286 | − | 22.9181i | −0.480139 | − | 0.747110i | 0.513697 | − | 0.857971i | \(-0.328275\pi\) |
−0.993836 | + | 0.110861i | \(0.964639\pi\) | |||||||
\(942\) | −0.238920 | − | 0.238920i | −0.00778442 | − | 0.00778442i | ||||
\(943\) | −0.498062 | + | 26.0523i | −0.0162191 | + | 0.848379i | ||||
\(944\) | − | 13.1465i | − | 0.427881i | ||||||
\(945\) | 7.97303 | + | 0.314285i | 0.259363 | + | 0.0102237i | ||||
\(946\) | 0.389145 | − | 2.70657i | 0.0126522 | − | 0.0879981i | ||||
\(947\) | −14.1703 | − | 37.9919i | −0.460471 | − | 1.23457i | −0.935100 | − | 0.354385i | \(-0.884690\pi\) |
0.474628 | − | 0.880186i | \(-0.342583\pi\) | |||||||
\(948\) | 2.67057 | − | 4.89078i | 0.0867360 | − | 0.158845i | ||||
\(949\) | 54.4505 | − | 24.8667i | 1.76754 | − | 0.807207i | ||||
\(950\) | −4.83912 | − | 16.9431i | −0.157002 | − | 0.549707i | ||||
\(951\) | 2.60943 | + | 18.1490i | 0.0846166 | + | 0.588521i | ||||
\(952\) | 23.2546 | − | 12.6980i | 0.753685 | − | 0.411543i | ||||
\(953\) | 4.36076 | + | 60.9713i | 0.141259 | + | 1.97506i | 0.210985 | + | 0.977489i | \(0.432333\pi\) |
−0.0697264 | + | 0.997566i | \(0.522213\pi\) | |||||||
\(954\) | 10.7931 | + | 6.93632i | 0.349440 | + | 0.224572i | ||||
\(955\) | −37.4209 | + | 15.3383i | −1.21091 | + | 0.496337i | ||||
\(956\) | −15.1062 | + | 17.4335i | −0.488570 | + | 0.563840i | ||||
\(957\) | −1.37221 | − | 2.51302i | −0.0443574 | − | 0.0812345i | ||||
\(958\) | 10.2868 | + | 7.70060i | 0.332351 | + | 0.248795i | ||||
\(959\) | −4.48446 | + | 3.88581i | −0.144811 | + | 0.125479i | ||||
\(960\) | −1.26848 | − | 1.84146i | −0.0409400 | − | 0.0594327i | ||||
\(961\) | 29.0990 | − | 8.54423i | 0.938676 | − | 0.275620i | ||||
\(962\) | −1.96289 | + | 0.732118i | −0.0632860 | + | 0.0236044i | ||||
\(963\) | −2.79597 | − | 3.73497i | −0.0900988 | − | 0.120358i | ||||
\(964\) | −2.56751 | + | 1.65004i | −0.0826940 | + | 0.0531442i | ||||
\(965\) | 5.59630 | + | 31.6884i | 0.180151 | + | 1.02009i | ||||
\(966\) | −0.894363 | − | 17.0901i | −0.0287756 | − | 0.549866i | ||||
\(967\) | 10.4407 | − | 10.4407i | 0.335749 | − | 0.335749i | −0.519016 | − | 0.854765i | \(-0.673701\pi\) |
0.854765 | + | 0.519016i | \(0.173701\pi\) | |||||||
\(968\) | −10.1670 | − | 2.21170i | −0.326781 | − | 0.0710868i | ||||
\(969\) | 25.9003 | + | 3.72390i | 0.832038 | + | 0.119629i | ||||
\(970\) | 17.7395 | − | 10.4368i | 0.569582 | − | 0.335107i | ||||
\(971\) | 8.81280 | + | 30.0136i | 0.282816 | + | 0.963184i | 0.971285 | + | 0.237918i | \(0.0764650\pi\) |
−0.688469 | + | 0.725266i | \(0.741717\pi\) | |||||||
\(972\) | 0.936950 | + | 0.349464i | 0.0300527 | + | 0.0112091i | ||||
\(973\) | −30.7423 | − | 2.19873i | −0.985552 | − | 0.0704880i | ||||
\(974\) | 28.9566 | − | 4.16333i | 0.927830 | − | 0.133402i | ||||
\(975\) | 20.8993 | − | 1.33946i | 0.669313 | − | 0.0428970i | ||||
\(976\) | −10.1344 | − | 8.78147i | −0.324393 | − | 0.281088i | ||||
\(977\) | 3.30927 | + | 15.2125i | 0.105873 | + | 0.486690i | 0.999297 | + | 0.0374769i | \(0.0119321\pi\) |
−0.893425 | + | 0.449213i | \(0.851704\pi\) | |||||||
\(978\) | 0.470032 | + | 2.16070i | 0.0150300 | + | 0.0690916i | ||||
\(979\) | 1.66583 | + | 1.44345i | 0.0532401 | + | 0.0461328i | ||||
\(980\) | 8.00764 | + | 10.0124i | 0.255795 | + | 0.319836i | ||||
\(981\) | 12.6676 | − | 1.82133i | 0.404446 | − | 0.0581505i | ||||
\(982\) | −3.90881 | − | 0.279564i | −0.124735 | − | 0.00892123i | ||||
\(983\) | −16.4040 | − | 6.11838i | −0.523207 | − | 0.195146i | 0.0739628 | − | 0.997261i | \(-0.476435\pi\) |
−0.597170 | + | 0.802115i | \(0.703708\pi\) | |||||||
\(984\) | −1.53073 | − | 5.21319i | −0.0487979 | − | 0.166190i | ||||
\(985\) | 3.95132 | − | 15.2456i | 0.125900 | − | 0.485765i | ||||
\(986\) | 27.2765 | + | 3.92176i | 0.868659 | + | 0.124894i | ||||
\(987\) | 33.8747 | + | 7.36900i | 1.07824 | + | 0.234558i | ||||
\(988\) | −10.4373 | + | 10.4373i | −0.332054 | + | 0.332054i | ||||
\(989\) | 16.0370 | − | 5.63471i | 0.509946 | − | 0.179173i | ||||
\(990\) | −1.69880 | + | 0.300015i | −0.0539914 | + | 0.00953509i | ||||
\(991\) | −37.3366 | + | 23.9948i | −1.18604 | + | 0.762220i | −0.976487 | − | 0.215578i | \(-0.930836\pi\) |
−0.209550 | + | 0.977798i | \(0.567200\pi\) | |||||||
\(992\) | 0.491467 | + | 0.656524i | 0.0156041 | + | 0.0208446i | ||||
\(993\) | −16.0838 | + | 5.99894i | −0.510403 | + | 0.190371i | ||||
\(994\) | 47.4872 | − | 13.9435i | 1.50620 | − | 0.442261i | ||||
\(995\) | 4.74933 | − | 25.7778i | 0.150564 | − | 0.817211i | ||||
\(996\) | −0.960964 | + | 0.832680i | −0.0304493 | + | 0.0263845i | ||||
\(997\) | 23.8060 | + | 17.8210i | 0.753945 | + | 0.564396i | 0.905648 | − | 0.424030i | \(-0.139385\pi\) |
−0.151703 | + | 0.988426i | \(0.548476\pi\) | |||||||
\(998\) | 6.79605 | + | 12.4460i | 0.215125 | + | 0.393972i | ||||
\(999\) | −0.327549 | + | 0.378011i | −0.0103632 | + | 0.0119598i |
(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 | 690.2.w.b.103.11 | yes | 240 | |
5.2 | odd | 4 | inner | 690.2.w.b.517.9 | yes | 240 | |
23.21 | odd | 22 | inner | 690.2.w.b.343.9 | yes | 240 | |
115.67 | even | 44 | inner | 690.2.w.b.67.11 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.b.67.11 | ✓ | 240 | 115.67 | even | 44 | inner | |
690.2.w.b.103.11 | yes | 240 | 1.1 | even | 1 | trivial | |
690.2.w.b.343.9 | yes | 240 | 23.21 | odd | 22 | inner | |
690.2.w.b.517.9 | yes | 240 | 5.2 | odd | 4 | inner |