Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(16,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.s (of order \(55\), degree \(40\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(880\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{55})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{55}]$ |
Embedding invariants
Embedding label | 16.19 | ||
Character | \(\chi\) | \(=\) | 605.16 |
Dual form | 605.2.s.a.416.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{55}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.92192 | + | 0.220520i | 1.35900 | + | 0.155931i | 0.762661 | − | 0.646799i | \(-0.223893\pi\) |
0.596343 | + | 0.802730i | \(0.296620\pi\) | |||||||
\(3\) | −2.15448 | − | 1.56532i | −1.24389 | − | 0.903740i | −0.246040 | − | 0.969260i | \(-0.579129\pi\) |
−0.997851 | + | 0.0655202i | \(0.979129\pi\) | |||||||
\(4\) | 1.69713 | + | 0.394651i | 0.848565 | + | 0.197325i | ||||
\(5\) | 0.564443 | − | 0.825472i | 0.252427 | − | 0.369162i | ||||
\(6\) | −3.79556 | − | 3.48353i | −1.54953 | − | 1.42215i | ||||
\(7\) | −0.812019 | − | 0.835548i | −0.306914 | − | 0.315807i | 0.546074 | − | 0.837737i | \(-0.316122\pi\) |
−0.852989 | + | 0.521929i | \(0.825212\pi\) | |||||||
\(8\) | −0.469333 | − | 0.167458i | −0.165934 | − | 0.0592052i | ||||
\(9\) | 1.26451 | + | 3.89175i | 0.421502 | + | 1.29725i | ||||
\(10\) | 1.26685 | − | 1.46202i | 0.400613 | − | 0.462332i | ||||
\(11\) | −0.754048 | − | 3.22977i | −0.227354 | − | 0.973812i | ||||
\(12\) | −3.03868 | − | 3.50682i | −0.877191 | − | 1.01233i | ||||
\(13\) | −1.81713 | + | 3.01337i | −0.503981 | + | 0.835758i | −0.999460 | − | 0.0328618i | \(-0.989538\pi\) |
0.495479 | + | 0.868620i | \(0.334992\pi\) | |||||||
\(14\) | −1.37638 | − | 1.78492i | −0.367854 | − | 0.477041i | ||||
\(15\) | −2.50821 | + | 0.894929i | −0.647618 | + | 0.231070i | ||||
\(16\) | −3.99237 | − | 1.96292i | −0.998092 | − | 0.490729i | ||||
\(17\) | 2.84888 | − | 2.32952i | 0.690955 | − | 0.564991i | −0.221004 | − | 0.975273i | \(-0.570933\pi\) |
0.911959 | + | 0.410282i | \(0.134570\pi\) | |||||||
\(18\) | 1.57207 | + | 7.75849i | 0.370541 | + | 1.82869i | ||||
\(19\) | −7.59794 | − | 0.434466i | −1.74309 | − | 0.0996734i | −0.843697 | − | 0.536819i | \(-0.819626\pi\) |
−0.899391 | + | 0.437146i | \(0.855989\pi\) | |||||||
\(20\) | 1.28371 | − | 1.17818i | 0.287045 | − | 0.263448i | ||||
\(21\) | 0.441578 | + | 3.07125i | 0.0963603 | + | 0.670201i | ||||
\(22\) | −0.736993 | − | 6.37365i | −0.157127 | − | 1.35887i | ||||
\(23\) | −0.195161 | + | 1.35738i | −0.0406940 | + | 0.283033i | 0.959306 | + | 0.282369i | \(0.0911203\pi\) |
−1.00000 | 0.000663570i | \(0.999789\pi\) | ||||||||
\(24\) | 0.749044 | + | 1.09544i | 0.152898 | + | 0.223606i | ||||
\(25\) | −0.362808 | − | 0.931864i | −0.0725615 | − | 0.186373i | ||||
\(26\) | −4.15688 | + | 5.39074i | −0.815232 | + | 1.05721i | ||||
\(27\) | 0.898673 | − | 2.76583i | 0.172950 | − | 0.532284i | ||||
\(28\) | −1.04835 | − | 1.73850i | −0.198120 | − | 0.328545i | ||||
\(29\) | 3.06922 | − | 7.88322i | 0.569939 | − | 1.46388i | −0.291777 | − | 0.956486i | \(-0.594246\pi\) |
0.861716 | − | 0.507391i | \(-0.169390\pi\) | |||||||
\(30\) | −5.01794 | + | 1.16687i | −0.916146 | + | 0.213041i | ||||
\(31\) | 1.39397 | + | 0.589095i | 0.250364 | + | 0.105805i | 0.510840 | − | 0.859676i | \(-0.329334\pi\) |
−0.260477 | + | 0.965480i | \(0.583880\pi\) | |||||||
\(32\) | −6.40174 | − | 4.11415i | −1.13168 | − | 0.727286i | ||||
\(33\) | −3.43105 | + | 8.13881i | −0.597269 | + | 1.41678i | ||||
\(34\) | 5.98903 | − | 3.84892i | 1.02711 | − | 0.660084i | ||||
\(35\) | −1.14806 | + | 0.198680i | −0.194058 | + | 0.0335830i | ||||
\(36\) | 0.610150 | + | 7.10384i | 0.101692 | + | 1.18397i | ||||
\(37\) | 0.176829 | − | 2.05878i | 0.0290705 | − | 0.338462i | −0.967319 | − | 0.253562i | \(-0.918398\pi\) |
0.996390 | − | 0.0848993i | \(-0.0270569\pi\) | |||||||
\(38\) | −14.5068 | − | 2.51051i | −2.35332 | − | 0.407258i | ||||
\(39\) | 8.63186 | − | 3.64786i | 1.38220 | − | 0.584124i | ||||
\(40\) | −0.403143 | + | 0.292901i | −0.0637426 | + | 0.0463117i | ||||
\(41\) | 7.09695 | − | 4.00783i | 1.10836 | − | 0.625918i | 0.174893 | − | 0.984587i | \(-0.444042\pi\) |
0.933465 | + | 0.358669i | \(0.116769\pi\) | |||||||
\(42\) | 0.171408 | + | 6.00007i | 0.0264489 | + | 0.925831i | ||||
\(43\) | −9.34690 | + | 2.74450i | −1.42539 | + | 0.418532i | −0.901323 | − | 0.433147i | \(-0.857403\pi\) |
−0.524065 | + | 0.851678i | \(0.675585\pi\) | |||||||
\(44\) | −0.00508687 | − | 5.77892i | −0.000766875 | − | 0.871206i | ||||
\(45\) | 3.92627 | + | 1.15286i | 0.585294 | + | 0.171858i | ||||
\(46\) | −0.674414 | + | 2.56574i | −0.0994369 | + | 0.378297i | ||||
\(47\) | −0.288069 | + | 1.42168i | −0.0420192 | + | 0.207373i | −0.995592 | − | 0.0937896i | \(-0.970102\pi\) |
0.953573 | + | 0.301162i | \(0.0973746\pi\) | |||||||
\(48\) | 5.52889 | + | 10.4784i | 0.798027 | + | 1.51243i | ||||
\(49\) | 0.161127 | − | 5.64018i | 0.0230182 | − | 0.805740i | ||||
\(50\) | −0.491793 | − | 1.87098i | −0.0695501 | − | 0.264596i | ||||
\(51\) | −9.78431 | + | 0.559487i | −1.37008 | + | 0.0783438i | ||||
\(52\) | −4.27313 | + | 4.39695i | −0.592576 | + | 0.609747i | ||||
\(53\) | 2.64464 | − | 1.30028i | 0.363269 | − | 0.178607i | −0.250455 | − | 0.968128i | \(-0.580580\pi\) |
0.613723 | + | 0.789521i | \(0.289671\pi\) | |||||||
\(54\) | 2.33710 | − | 5.11753i | 0.318039 | − | 0.696408i | ||||
\(55\) | −3.09170 | − | 1.20058i | −0.416885 | − | 0.161886i | ||||
\(56\) | 0.241188 | + | 0.528129i | 0.0322302 | + | 0.0705742i | ||||
\(57\) | 15.6896 | + | 12.8293i | 2.07813 | + | 1.69928i | ||||
\(58\) | 7.63720 | − | 14.4741i | 1.00281 | − | 1.90054i | ||||
\(59\) | 10.6922 | + | 6.03815i | 1.39200 | + | 0.786100i | 0.991489 | − | 0.130191i | \(-0.0415592\pi\) |
0.400513 | + | 0.916291i | \(0.368832\pi\) | |||||||
\(60\) | −4.60995 | + | 0.528942i | −0.595142 | + | 0.0682861i | ||||
\(61\) | 9.37015 | − | 1.07512i | 1.19972 | − | 0.137656i | 0.508995 | − | 0.860769i | \(-0.330017\pi\) |
0.690729 | + | 0.723114i | \(0.257290\pi\) | |||||||
\(62\) | 2.54918 | + | 1.43959i | 0.323747 | + | 0.182828i | ||||
\(63\) | 2.22494 | − | 4.21673i | 0.280316 | − | 0.531258i | ||||
\(64\) | −4.50835 | − | 3.68646i | −0.563544 | − | 0.460808i | ||||
\(65\) | 1.46179 | + | 3.20086i | 0.181312 | + | 0.397018i | ||||
\(66\) | −8.38898 | + | 14.8855i | −1.03261 | + | 1.83228i | ||||
\(67\) | 2.31585 | − | 5.07101i | 0.282926 | − | 0.619522i | −0.713802 | − | 0.700347i | \(-0.753028\pi\) |
0.996728 | + | 0.0808255i | \(0.0257557\pi\) | |||||||
\(68\) | 5.75426 | − | 2.82918i | 0.697807 | − | 0.343089i | ||||
\(69\) | 2.54521 | − | 2.61895i | 0.306407 | − | 0.315285i | ||||
\(70\) | −2.25029 | + | 0.128676i | −0.268962 | + | 0.0153798i | ||||
\(71\) | −0.473434 | − | 1.80113i | −0.0561862 | − | 0.213755i | 0.933130 | − | 0.359539i | \(-0.117066\pi\) |
−0.989316 | + | 0.145784i | \(0.953430\pi\) | |||||||
\(72\) | 0.0582289 | − | 2.03828i | 0.00686234 | − | 0.240213i | ||||
\(73\) | 3.24163 | + | 6.14357i | 0.379404 | + | 0.719051i | 0.997763 | − | 0.0668449i | \(-0.0212933\pi\) |
−0.618359 | + | 0.785896i | \(0.712202\pi\) | |||||||
\(74\) | 0.793854 | − | 3.91782i | 0.0922837 | − | 0.455438i | ||||
\(75\) | −0.677005 | + | 2.57560i | −0.0781738 | + | 0.297404i | ||||
\(76\) | −12.7232 | − | 3.73588i | −1.45946 | − | 0.428535i | ||||
\(77\) | −2.08633 | + | 3.25268i | −0.237759 | + | 0.370677i | ||||
\(78\) | 17.3942 | − | 5.10739i | 1.96950 | − | 0.578299i | ||||
\(79\) | −0.322020 | − | 11.2722i | −0.0362300 | − | 1.26822i | −0.790832 | − | 0.612034i | \(-0.790352\pi\) |
0.754602 | − | 0.656183i | \(-0.227830\pi\) | |||||||
\(80\) | −3.87380 | + | 2.18763i | −0.433104 | + | 0.244585i | ||||
\(81\) | 3.66597 | − | 2.66348i | 0.407330 | − | 0.295943i | ||||
\(82\) | 14.5236 | − | 6.13772i | 1.60386 | − | 0.677798i | ||||
\(83\) | 0.556931 | + | 0.0963808i | 0.0611312 | + | 0.0105792i | 0.201006 | − | 0.979590i | \(-0.435579\pi\) |
−0.139875 | + | 0.990169i | \(0.544670\pi\) | |||||||
\(84\) | −0.462653 | + | 5.38657i | −0.0504796 | + | 0.587723i | ||||
\(85\) | −0.314920 | − | 3.66655i | −0.0341579 | − | 0.397693i | ||||
\(86\) | −18.5692 | + | 3.21353i | −2.00237 | + | 0.346524i | ||||
\(87\) | −18.9524 | + | 12.1799i | −2.03191 | + | 1.30583i | ||||
\(88\) | −0.186950 | + | 1.64211i | −0.0199289 | + | 0.175049i | ||||
\(89\) | 9.37182 | + | 6.02290i | 0.993410 | + | 0.638426i | 0.933049 | − | 0.359750i | \(-0.117138\pi\) |
0.0603619 | + | 0.998177i | \(0.480775\pi\) | |||||||
\(90\) | 7.29176 | + | 3.08152i | 0.768619 | + | 0.324821i | ||||
\(91\) | 3.99336 | − | 0.928615i | 0.418617 | − | 0.0973453i | ||||
\(92\) | −0.866904 | + | 2.22663i | −0.0903810 | + | 0.232142i | ||||
\(93\) | −2.08115 | − | 3.45120i | −0.215805 | − | 0.357873i | ||||
\(94\) | −0.867154 | + | 2.66883i | −0.0894401 | + | 0.275268i | ||||
\(95\) | −4.64725 | + | 6.02666i | −0.476798 | + | 0.618322i | ||||
\(96\) | 7.35247 | + | 18.8847i | 0.750408 | + | 1.92741i | ||||
\(97\) | 3.89746 | + | 5.69986i | 0.395728 | + | 0.578733i | 0.970956 | − | 0.239260i | \(-0.0769048\pi\) |
−0.575228 | + | 0.817993i | \(0.695087\pi\) | |||||||
\(98\) | 1.55345 | − | 10.8045i | 0.156922 | − | 1.09142i | ||||
\(99\) | 11.6160 | − | 7.01863i | 1.16745 | − | 0.705399i | ||||
\(100\) | −0.247971 | − | 1.72468i | −0.0247971 | − | 0.172468i | ||||
\(101\) | −9.77560 | + | 8.97197i | −0.972709 | + | 0.892744i | −0.994256 | − | 0.107024i | \(-0.965868\pi\) |
0.0215476 | + | 0.999768i | \(0.493141\pi\) | |||||||
\(102\) | −18.9281 | − | 1.08235i | −1.87416 | − | 0.107168i | ||||
\(103\) | −2.12205 | − | 10.4727i | −0.209092 | − | 1.03191i | −0.937824 | − | 0.347110i | \(-0.887163\pi\) |
0.728733 | − | 0.684798i | \(-0.240110\pi\) | |||||||
\(104\) | 1.35745 | − | 1.10998i | 0.133109 | − | 0.108843i | ||||
\(105\) | 2.78447 | + | 1.36903i | 0.271737 | + | 0.133604i | ||||
\(106\) | 5.36952 | − | 1.91584i | 0.521534 | − | 0.186083i | ||||
\(107\) | −3.77004 | − | 4.88908i | −0.364464 | − | 0.472645i | 0.573586 | − | 0.819145i | \(-0.305552\pi\) |
−0.938050 | + | 0.346500i | \(0.887370\pi\) | |||||||
\(108\) | 2.61670 | − | 4.33931i | 0.251792 | − | 0.417550i | ||||
\(109\) | −3.08640 | − | 3.56189i | −0.295623 | − | 0.341167i | 0.588435 | − | 0.808545i | \(-0.299744\pi\) |
−0.884058 | + | 0.467377i | \(0.845199\pi\) | |||||||
\(110\) | −5.67726 | − | 2.98919i | −0.541305 | − | 0.285009i | ||||
\(111\) | −3.60363 | + | 4.15882i | −0.342042 | + | 0.394737i | ||||
\(112\) | 1.60177 | + | 4.92974i | 0.151353 | + | 0.465817i | ||||
\(113\) | −4.73556 | − | 1.68964i | −0.445484 | − | 0.158948i | 0.103774 | − | 0.994601i | \(-0.466908\pi\) |
−0.549259 | + | 0.835652i | \(0.685090\pi\) | |||||||
\(114\) | 27.3250 | + | 28.1167i | 2.55922 | + | 2.63337i | ||||
\(115\) | 1.01032 | + | 0.927263i | 0.0942128 | + | 0.0864677i | ||||
\(116\) | 8.31998 | − | 12.1676i | 0.772490 | − | 1.12973i | ||||
\(117\) | −14.0250 | − | 3.26138i | −1.29662 | − | 0.301515i | ||||
\(118\) | 19.2180 | + | 13.9627i | 1.76916 | + | 1.28537i | ||||
\(119\) | −4.25977 | − | 0.488763i | −0.390492 | − | 0.0448048i | ||||
\(120\) | 1.32705 | 0.121142 | ||||||||
\(121\) | −9.86282 | + | 4.87080i | −0.896620 | + | 0.442800i | ||||
\(122\) | 18.2458 | 1.65189 | ||||||||
\(123\) | −21.5638 | − | 2.47422i | −1.94434 | − | 0.223093i | ||||
\(124\) | 2.13325 | + | 1.54990i | 0.191572 | + | 0.139185i | ||||
\(125\) | −0.974012 | − | 0.226497i | −0.0871183 | − | 0.0202585i | ||||
\(126\) | 5.20604 | − | 7.61358i | 0.463790 | − | 0.678272i | ||||
\(127\) | 12.5210 | + | 11.4916i | 1.11106 | + | 1.01972i | 0.999663 | + | 0.0259424i | \(0.00825866\pi\) |
0.111393 | + | 0.993776i | \(0.464469\pi\) | |||||||
\(128\) | 2.75530 | + | 2.83514i | 0.243536 | + | 0.250593i | ||||
\(129\) | 24.4337 | + | 8.71794i | 2.15127 | + | 0.767572i | ||||
\(130\) | 2.10358 | + | 6.47416i | 0.184496 | + | 0.567821i | ||||
\(131\) | 10.2064 | − | 11.7788i | 0.891735 | − | 1.02912i | −0.107654 | − | 0.994188i | \(-0.534334\pi\) |
0.999390 | − | 0.0349291i | \(-0.0111205\pi\) | |||||||
\(132\) | −9.03492 | + | 12.4585i | −0.786389 | + | 1.08438i | ||||
\(133\) | 5.80666 | + | 6.70124i | 0.503501 | + | 0.581071i | ||||
\(134\) | 5.56914 | − | 9.23538i | 0.481101 | − | 0.797816i | ||||
\(135\) | −1.77587 | − | 2.30298i | −0.152842 | − | 0.198209i | ||||
\(136\) | −1.72717 | + | 0.616253i | −0.148104 | + | 0.0528432i | ||||
\(137\) | −10.9745 | − | 5.39579i | −0.937614 | − | 0.460994i | −0.0925792 | − | 0.995705i | \(-0.529511\pi\) |
−0.845035 | + | 0.534712i | \(0.820420\pi\) | |||||||
\(138\) | 5.46922 | − | 4.47216i | 0.465571 | − | 0.380695i | ||||
\(139\) | −1.34192 | − | 6.62263i | −0.113820 | − | 0.561724i | −0.995887 | − | 0.0906004i | \(-0.971121\pi\) |
0.882067 | − | 0.471123i | \(-0.156151\pi\) | |||||||
\(140\) | −2.02682 | − | 0.115898i | −0.171297 | − | 0.00979513i | ||||
\(141\) | 2.84602 | − | 2.61206i | 0.239678 | − | 0.219975i | ||||
\(142\) | −0.512718 | − | 3.56603i | −0.0430263 | − | 0.299254i | ||||
\(143\) | 11.1027 | + | 3.59668i | 0.928453 | + | 0.300769i | ||||
\(144\) | 2.59080 | − | 18.0194i | 0.215900 | − | 1.50162i | ||||
\(145\) | −4.77498 | − | 6.98318i | −0.396540 | − | 0.579922i | ||||
\(146\) | 4.87538 | + | 12.5223i | 0.403489 | + | 1.03635i | ||||
\(147\) | −9.17585 | + | 11.8995i | −0.756812 | + | 0.981451i | ||||
\(148\) | 1.11260 | − | 3.42424i | 0.0914553 | − | 0.281470i | ||||
\(149\) | −11.7691 | − | 19.5169i | −0.964163 | − | 1.59888i | −0.789044 | − | 0.614337i | \(-0.789424\pi\) |
−0.175118 | − | 0.984547i | \(-0.556031\pi\) | |||||||
\(150\) | −1.86912 | + | 4.80080i | −0.152613 | + | 0.391984i | ||||
\(151\) | 18.5798 | − | 4.32055i | 1.51201 | − | 0.351602i | 0.613192 | − | 0.789934i | \(-0.289885\pi\) |
0.898813 | + | 0.438332i | \(0.144431\pi\) | |||||||
\(152\) | 3.49321 | + | 1.47624i | 0.283337 | + | 0.119739i | ||||
\(153\) | 12.6683 | + | 8.14144i | 1.02417 | + | 0.658196i | ||||
\(154\) | −4.72704 | + | 5.79132i | −0.380915 | + | 0.466678i | ||||
\(155\) | 1.27310 | − | 0.818169i | 0.102257 | − | 0.0657169i | ||||
\(156\) | 16.0890 | − | 2.78431i | 1.28815 | − | 0.222924i | ||||
\(157\) | 0.902221 | + | 10.5044i | 0.0720051 | + | 0.838340i | 0.939868 | + | 0.341537i | \(0.110947\pi\) |
−0.867863 | + | 0.496803i | \(0.834507\pi\) | |||||||
\(158\) | 1.86684 | − | 21.7352i | 0.148518 | − | 1.72916i | ||||
\(159\) | −7.73318 | − | 1.33828i | −0.613281 | − | 0.106133i | ||||
\(160\) | −7.00954 | + | 2.96225i | −0.554152 | + | 0.234187i | ||||
\(161\) | 1.29263 | − | 0.939150i | 0.101873 | − | 0.0740154i | ||||
\(162\) | 7.63306 | − | 4.31059i | 0.599710 | − | 0.338672i | ||||
\(163\) | 0.136748 | + | 4.78679i | 0.0107109 | + | 0.374930i | 0.987212 | + | 0.159416i | \(0.0509611\pi\) |
−0.976501 | + | 0.215515i | \(0.930857\pi\) | |||||||
\(164\) | 13.6261 | − | 4.00100i | 1.06402 | − | 0.312425i | ||||
\(165\) | 4.78173 | + | 7.42613i | 0.372257 | + | 0.578123i | ||||
\(166\) | 1.04912 | + | 0.308051i | 0.0814279 | + | 0.0239094i | ||||
\(167\) | 2.12488 | − | 8.08386i | 0.164428 | − | 0.625548i | −0.832961 | − | 0.553331i | \(-0.813356\pi\) |
0.997389 | − | 0.0722168i | \(-0.0230073\pi\) | |||||||
\(168\) | 0.307056 | − | 1.51538i | 0.0236899 | − | 0.116914i | ||||
\(169\) | 0.288242 | + | 0.546278i | 0.0221724 | + | 0.0420214i | ||||
\(170\) | 0.203295 | − | 7.11627i | 0.0155920 | − | 0.545793i | ||||
\(171\) | −7.91682 | − | 30.1187i | −0.605414 | − | 2.30323i | ||||
\(172\) | −16.9460 | + | 0.969008i | −1.29212 | + | 0.0738862i | ||||
\(173\) | −11.6145 | + | 11.9510i | −0.883034 | + | 0.908621i | −0.996387 | − | 0.0849341i | \(-0.972932\pi\) |
0.113352 | + | 0.993555i | \(0.463841\pi\) | |||||||
\(174\) | −39.1109 | + | 19.2295i | −2.96499 | + | 1.45779i | ||||
\(175\) | −0.484010 | + | 1.05983i | −0.0365877 | + | 0.0801160i | ||||
\(176\) | −3.32933 | + | 14.3746i | −0.250957 | + | 1.08352i | ||||
\(177\) | −13.5844 | − | 29.7458i | −1.02107 | − | 2.23583i | ||||
\(178\) | 16.6837 | + | 13.6422i | 1.25050 | + | 1.02253i | ||||
\(179\) | −6.89411 | + | 13.0658i | −0.515290 | + | 0.976583i | 0.479779 | + | 0.877390i | \(0.340717\pi\) |
−0.995068 | + | 0.0991929i | \(0.968374\pi\) | |||||||
\(180\) | 6.20842 | + | 3.50606i | 0.462748 | + | 0.261326i | ||||
\(181\) | −22.9470 | + | 2.63292i | −1.70564 | + | 0.195704i | −0.911292 | − | 0.411761i | \(-0.864914\pi\) |
−0.794346 | + | 0.607465i | \(0.792186\pi\) | |||||||
\(182\) | 7.87970 | − | 0.904111i | 0.584082 | − | 0.0670172i | ||||
\(183\) | −21.8707 | − | 12.3510i | −1.61673 | − | 0.913010i | ||||
\(184\) | 0.318899 | − | 0.604381i | 0.0235095 | − | 0.0445555i | ||||
\(185\) | −1.59966 | − | 1.30803i | −0.117609 | − | 0.0961685i | ||||
\(186\) | −3.23875 | − | 7.09187i | −0.237477 | − | 0.520001i | ||||
\(187\) | −9.67200 | − | 7.44466i | −0.707286 | − | 0.544407i | ||||
\(188\) | −1.04996 | + | 2.29908i | −0.0765759 | + | 0.167678i | ||||
\(189\) | −3.04072 | + | 1.49502i | −0.221180 | + | 0.108747i | ||||
\(190\) | −10.2606 | + | 10.5580i | −0.744385 | + | 0.765955i | ||||
\(191\) | −3.50980 | + | 0.200698i | −0.253960 | + | 0.0145220i | −0.183605 | − | 0.983000i | \(-0.558777\pi\) |
−0.0703551 | + | 0.997522i | \(0.522413\pi\) | |||||||
\(192\) | 3.94266 | + | 14.9994i | 0.284537 | + | 1.08249i | ||||
\(193\) | 0.288959 | − | 10.1149i | 0.0207997 | − | 0.728085i | −0.920545 | − | 0.390637i | \(-0.872255\pi\) |
0.941344 | − | 0.337447i | \(-0.109564\pi\) | |||||||
\(194\) | 6.23369 | + | 11.8142i | 0.447553 | + | 0.848207i | ||||
\(195\) | 1.86099 | − | 9.18437i | 0.133269 | − | 0.657706i | ||||
\(196\) | 2.49936 | − | 9.50853i | 0.178525 | − | 0.679181i | ||||
\(197\) | −13.6554 | − | 4.00959i | −0.972908 | − | 0.285671i | −0.243614 | − | 0.969872i | \(-0.578333\pi\) |
−0.729294 | + | 0.684201i | \(0.760151\pi\) | |||||||
\(198\) | 23.8727 | − | 10.9277i | 1.69656 | − | 0.776598i | ||||
\(199\) | −13.5244 | + | 3.97112i | −0.958719 | + | 0.281505i | −0.723413 | − | 0.690416i | \(-0.757428\pi\) |
−0.235307 | + | 0.971921i | \(0.575609\pi\) | |||||||
\(200\) | 0.0142298 | + | 0.498109i | 0.00100620 | + | 0.0352217i | ||||
\(201\) | −12.9272 | + | 7.30034i | −0.911816 | + | 0.514926i | ||||
\(202\) | −20.7664 | + | 15.0877i | −1.46112 | + | 1.06157i | ||||
\(203\) | −9.07907 | + | 3.83685i | −0.637226 | + | 0.269294i | ||||
\(204\) | −16.8260 | − | 2.91186i | −1.17806 | − | 0.203871i | ||||
\(205\) | 0.697473 | − | 8.12053i | 0.0487136 | − | 0.567162i | ||||
\(206\) | −1.76897 | − | 20.5957i | −0.123250 | − | 1.43497i | ||||
\(207\) | −5.52936 | + | 0.956893i | −0.384317 | + | 0.0665087i | ||||
\(208\) | 13.1696 | − | 8.46361i | 0.913150 | − | 0.586846i | ||||
\(209\) | 4.32599 | + | 24.8672i | 0.299235 | + | 1.72010i | ||||
\(210\) | 5.04964 | + | 3.24521i | 0.348458 | + | 0.223940i | ||||
\(211\) | 1.67148 | + | 0.706372i | 0.115069 | + | 0.0486286i | 0.446045 | − | 0.895011i | \(-0.352832\pi\) |
−0.330975 | + | 0.943639i | \(0.607378\pi\) | |||||||
\(212\) | 5.00145 | − | 1.16304i | 0.343501 | − | 0.0798777i | ||||
\(213\) | −1.79934 | + | 4.62158i | −0.123289 | + | 0.316665i | ||||
\(214\) | −6.16759 | − | 10.2278i | −0.421608 | − | 0.699158i | ||||
\(215\) | −3.01029 | + | 9.26471i | −0.205300 | + | 0.631848i | ||||
\(216\) | −0.884936 | + | 1.14761i | −0.0602123 | + | 0.0780847i | ||||
\(217\) | −0.639710 | − | 1.64308i | −0.0434263 | − | 0.111540i | ||||
\(218\) | −5.14634 | − | 7.52629i | −0.348554 | − | 0.509745i | ||||
\(219\) | 2.63264 | − | 18.3104i | 0.177897 | − | 1.23730i | ||||
\(220\) | −4.77321 | − | 3.25768i | −0.321810 | − | 0.219632i | ||||
\(221\) | 1.84291 | + | 12.8178i | 0.123968 | + | 0.862216i | ||||
\(222\) | −7.84300 | + | 7.19824i | −0.526388 | + | 0.483114i | ||||
\(223\) | −18.9973 | − | 1.08631i | −1.27216 | − | 0.0727445i | −0.592076 | − | 0.805882i | \(-0.701691\pi\) |
−0.680080 | + | 0.733138i | \(0.738055\pi\) | |||||||
\(224\) | 1.76077 | + | 8.68973i | 0.117646 | + | 0.580607i | ||||
\(225\) | 3.16781 | − | 2.59031i | 0.211187 | − | 0.172687i | ||||
\(226\) | −8.72878 | − | 4.29165i | −0.580630 | − | 0.285476i | ||||
\(227\) | 5.83354 | − | 2.08140i | 0.387186 | − | 0.138148i | −0.135281 | − | 0.990807i | \(-0.543194\pi\) |
0.522467 | + | 0.852660i | \(0.325012\pi\) | |||||||
\(228\) | 21.5641 | + | 27.9649i | 1.42812 | + | 1.85202i | ||||
\(229\) | 0.481287 | − | 0.798125i | 0.0318043 | − | 0.0527416i | −0.840041 | − | 0.542523i | \(-0.817469\pi\) |
0.871845 | + | 0.489782i | \(0.162924\pi\) | |||||||
\(230\) | 1.73727 | + | 2.00492i | 0.114553 | + | 0.132201i | ||||
\(231\) | 9.58644 | − | 3.74206i | 0.630742 | − | 0.246210i | ||||
\(232\) | −2.76059 | + | 3.18589i | −0.181242 | + | 0.209164i | ||||
\(233\) | −4.49852 | − | 13.8450i | −0.294708 | − | 0.907017i | −0.983320 | − | 0.181887i | \(-0.941780\pi\) |
0.688612 | − | 0.725130i | \(-0.258220\pi\) | |||||||
\(234\) | −26.2358 | − | 9.36093i | −1.71509 | − | 0.611943i | ||||
\(235\) | 1.01096 | + | 1.04025i | 0.0659475 | + | 0.0678583i | ||||
\(236\) | 15.7630 | + | 14.4672i | 1.02609 | + | 0.941734i | ||||
\(237\) | −16.9508 | + | 24.7897i | −1.10107 | + | 1.61027i | ||||
\(238\) | −8.07916 | − | 1.87873i | −0.523694 | − | 0.121780i | ||||
\(239\) | 14.0950 | + | 10.2406i | 0.911732 | + | 0.662412i | 0.941452 | − | 0.337146i | \(-0.109462\pi\) |
−0.0297203 | + | 0.999558i | \(0.509462\pi\) | |||||||
\(240\) | 11.7704 | + | 1.35053i | 0.759775 | + | 0.0871760i | ||||
\(241\) | −1.12964 | −0.0727665 | −0.0363833 | − | 0.999338i | \(-0.511584\pi\) | ||||
−0.0363833 | + | 0.999338i | \(0.511584\pi\) | |||||||
\(242\) | −20.0297 | + | 7.18635i | −1.28756 | + | 0.461956i | ||||
\(243\) | −20.7920 | −1.33381 | ||||||||
\(244\) | 16.3267 | + | 1.87331i | 1.04521 | + | 0.119926i | ||||
\(245\) | −4.56487 | − | 3.31657i | −0.291639 | − | 0.211888i | ||||
\(246\) | −40.8983 | − | 9.51050i | −2.60758 | − | 0.606367i | ||||
\(247\) | 15.1156 | − | 22.1059i | 0.961785 | − | 1.40657i | ||||
\(248\) | −0.555585 | − | 0.509912i | −0.0352797 | − | 0.0323794i | ||||
\(249\) | −1.04903 | − | 1.07943i | −0.0664797 | − | 0.0684060i | ||||
\(250\) | −1.82203 | − | 0.650098i | −0.115235 | − | 0.0411158i | ||||
\(251\) | −6.51746 | − | 20.0587i | −0.411378 | − | 1.26609i | −0.915450 | − | 0.402431i | \(-0.868165\pi\) |
0.504072 | − | 0.863662i | \(-0.331835\pi\) | |||||||
\(252\) | 5.44015 | − | 6.27827i | 0.342697 | − | 0.395494i | ||||
\(253\) | 4.53118 | − | 0.393201i | 0.284873 | − | 0.0247204i | ||||
\(254\) | 21.5302 | + | 24.8472i | 1.35092 | + | 1.55905i | ||||
\(255\) | −5.06085 | + | 8.39247i | −0.316922 | + | 0.525557i | ||||
\(256\) | 11.7827 | + | 15.2801i | 0.736419 | + | 0.955005i | ||||
\(257\) | 18.2267 | − | 6.50327i | 1.13695 | − | 0.405663i | 0.300541 | − | 0.953769i | \(-0.402833\pi\) |
0.836409 | + | 0.548106i | \(0.184651\pi\) | |||||||
\(258\) | 45.0373 | + | 22.1433i | 2.80390 | + | 1.37858i | ||||
\(259\) | −1.86380 | + | 1.52402i | −0.115811 | + | 0.0946981i | ||||
\(260\) | 1.21762 | + | 6.00917i | 0.0755134 | + | 0.372673i | ||||
\(261\) | 34.5606 | + | 1.97624i | 2.13925 | + | 0.122326i | ||||
\(262\) | 22.2133 | − | 20.3872i | 1.37234 | − | 1.25953i | ||||
\(263\) | −0.459700 | − | 3.19728i | −0.0283463 | − | 0.197153i | 0.970727 | − | 0.240184i | \(-0.0772077\pi\) |
−0.999074 | + | 0.0430309i | \(0.986299\pi\) | |||||||
\(264\) | 2.97321 | − | 3.24526i | 0.182988 | − | 0.199732i | ||||
\(265\) | 0.419403 | − | 2.91701i | 0.0257637 | − | 0.179190i | ||||
\(266\) | 9.68219 | + | 14.1597i | 0.593653 | + | 0.868190i | ||||
\(267\) | −10.7636 | − | 27.6461i | −0.658723 | − | 1.69192i | ||||
\(268\) | 5.93157 | − | 7.69220i | 0.362329 | − | 0.469876i | ||||
\(269\) | −7.88340 | + | 24.2626i | −0.480659 | + | 1.47932i | 0.357511 | + | 0.933909i | \(0.383625\pi\) |
−0.838171 | + | 0.545408i | \(0.816375\pi\) | |||||||
\(270\) | −2.90522 | − | 4.81777i | −0.176806 | − | 0.293200i | ||||
\(271\) | 6.08296 | − | 15.6240i | 0.369514 | − | 0.949089i | −0.617227 | − | 0.786785i | \(-0.711744\pi\) |
0.986741 | − | 0.162303i | \(-0.0518923\pi\) | |||||||
\(272\) | −15.9464 | + | 3.70818i | −0.966894 | + | 0.224842i | ||||
\(273\) | −10.0572 | − | 4.25021i | −0.608689 | − | 0.257234i | ||||
\(274\) | −19.9022 | − | 12.7904i | −1.20234 | − | 0.772695i | ||||
\(275\) | −2.73613 | + | 1.87446i | −0.164995 | + | 0.113034i | ||||
\(276\) | 5.35312 | − | 3.44024i | 0.322220 | − | 0.207078i | ||||
\(277\) | 31.7255 | − | 5.49031i | 1.90620 | − | 0.329881i | 0.909828 | − | 0.414985i | \(-0.136213\pi\) |
0.996372 | + | 0.0851036i | \(0.0271221\pi\) | |||||||
\(278\) | −1.11864 | − | 13.0241i | −0.0670916 | − | 0.781133i | ||||
\(279\) | −0.529931 | + | 6.16988i | −0.0317262 | + | 0.369381i | ||||
\(280\) | 0.572093 | + | 0.0990046i | 0.0341891 | + | 0.00591665i | ||||
\(281\) | 13.4390 | − | 5.67939i | 0.801706 | − | 0.338804i | 0.0503761 | − | 0.998730i | \(-0.483958\pi\) |
0.751330 | + | 0.659926i | \(0.229413\pi\) | |||||||
\(282\) | 6.04584 | − | 4.39256i | 0.360025 | − | 0.261573i | ||||
\(283\) | 18.8599 | − | 10.6507i | 1.12110 | − | 0.633117i | 0.184265 | − | 0.982877i | \(-0.441010\pi\) |
0.936839 | + | 0.349760i | \(0.113737\pi\) | |||||||
\(284\) | −0.0926619 | − | 3.24359i | −0.00549847 | − | 0.192472i | ||||
\(285\) | 19.4461 | − | 5.70988i | 1.15189 | − | 0.338224i | ||||
\(286\) | 20.5454 | + | 9.36090i | 1.21487 | + | 0.553522i | ||||
\(287\) | −9.11160 | − | 2.67541i | −0.537841 | − | 0.157924i | ||||
\(288\) | 7.91620 | − | 30.1164i | 0.466467 | − | 1.77462i | ||||
\(289\) | −0.686573 | + | 3.38837i | −0.0403867 | + | 0.199316i | ||||
\(290\) | −7.63720 | − | 14.4741i | −0.448472 | − | 0.849949i | ||||
\(291\) | 0.525104 | − | 18.3810i | 0.0307821 | − | 1.07752i | ||||
\(292\) | 3.07690 | + | 11.7057i | 0.180062 | + | 0.685027i | ||||
\(293\) | −17.2894 | + | 0.988645i | −1.01006 | + | 0.0577573i | −0.554276 | − | 0.832333i | \(-0.687005\pi\) |
−0.455784 | + | 0.890091i | \(0.650641\pi\) | |||||||
\(294\) | −20.2593 | + | 20.8464i | −1.18155 | + | 1.21578i | ||||
\(295\) | 11.0194 | − | 5.41790i | 0.641577 | − | 0.315442i | ||||
\(296\) | −0.427751 | + | 0.936643i | −0.0248625 | + | 0.0544413i | ||||
\(297\) | −9.61064 | − | 0.816937i | −0.557666 | − | 0.0474035i | ||||
\(298\) | −18.3154 | − | 40.1052i | −1.06098 | − | 2.32323i | ||||
\(299\) | −3.73564 | − | 3.05462i | −0.216038 | − | 0.176653i | ||||
\(300\) | −2.16543 | + | 4.10394i | −0.125021 | + | 0.236941i | ||||
\(301\) | 9.88302 | + | 5.58120i | 0.569648 | + | 0.321695i | ||||
\(302\) | 36.6617 | − | 4.20654i | 2.10965 | − | 0.242059i | ||||
\(303\) | 35.1054 | − | 4.02797i | 2.01675 | − | 0.231401i | ||||
\(304\) | 29.4810 | + | 16.6487i | 1.69085 | + | 0.954867i | ||||
\(305\) | 4.40143 | − | 8.34164i | 0.252025 | − | 0.477641i | ||||
\(306\) | 22.5522 | + | 18.4408i | 1.28922 | + | 1.05419i | ||||
\(307\) | 8.76246 | + | 19.1871i | 0.500100 | + | 1.09507i | 0.976437 | + | 0.215803i | \(0.0692369\pi\) |
−0.476337 | + | 0.879263i | \(0.658036\pi\) | |||||||
\(308\) | −4.82444 | + | 4.69685i | −0.274898 | + | 0.267628i | ||||
\(309\) | −11.8213 | + | 25.8850i | −0.672489 | + | 1.47255i | ||||
\(310\) | 2.62721 | − | 1.29171i | 0.149216 | − | 0.0733644i | ||||
\(311\) | 9.19030 | − | 9.45659i | 0.521134 | − | 0.536234i | −0.404558 | − | 0.914512i | \(-0.632575\pi\) |
0.925692 | + | 0.378278i | \(0.123484\pi\) | |||||||
\(312\) | −4.66208 | + | 0.266587i | −0.263938 | + | 0.0150925i | ||||
\(313\) | 3.52025 | + | 13.3924i | 0.198977 | + | 0.756985i | 0.989497 | + | 0.144550i | \(0.0461736\pi\) |
−0.790521 | + | 0.612435i | \(0.790190\pi\) | |||||||
\(314\) | −0.582425 | + | 20.3875i | −0.0328681 | + | 1.15053i | ||||
\(315\) | −2.22494 | − | 4.21673i | −0.125361 | − | 0.237586i | ||||
\(316\) | 3.90205 | − | 19.2574i | 0.219508 | − | 1.08331i | ||||
\(317\) | −3.17722 | + | 12.0874i | −0.178450 | + | 0.678896i | 0.816395 | + | 0.577494i | \(0.195969\pi\) |
−0.994846 | + | 0.101402i | \(0.967667\pi\) | |||||||
\(318\) | −14.5675 | − | 4.27739i | −0.816902 | − | 0.239864i | ||||
\(319\) | −27.7753 | − | 3.96854i | −1.55512 | − | 0.222195i | ||||
\(320\) | −5.58778 | + | 1.64072i | −0.312366 | + | 0.0917191i | ||||
\(321\) | 0.469503 | + | 16.4348i | 0.0262051 | + | 0.917299i | ||||
\(322\) | 2.69143 | − | 1.51992i | 0.149988 | − | 0.0847019i | ||||
\(323\) | −22.6577 | + | 16.4618i | −1.26071 | + | 0.915959i | ||||
\(324\) | 7.27277 | − | 3.07350i | 0.404043 | − | 0.170750i | ||||
\(325\) | 3.46732 | + | 0.600043i | 0.192332 | + | 0.0332844i | ||||
\(326\) | −0.792765 | + | 9.22999i | −0.0439072 | + | 0.511202i | ||||
\(327\) | 1.07408 | + | 12.5052i | 0.0593965 | + | 0.691541i | ||||
\(328\) | −4.00198 | + | 0.692569i | −0.220972 | + | 0.0382407i | ||||
\(329\) | 1.42180 | − | 0.913733i | 0.0783862 | − | 0.0503757i | ||||
\(330\) | 7.55249 | + | 15.3269i | 0.415751 | + | 0.843718i | ||||
\(331\) | 0.106614 | + | 0.0685164i | 0.00586001 | + | 0.00376600i | 0.543568 | − | 0.839365i | \(-0.317073\pi\) |
−0.537708 | + | 0.843131i | \(0.680710\pi\) | |||||||
\(332\) | 0.907148 | + | 0.383364i | 0.0497862 | + | 0.0210398i | ||||
\(333\) | 8.23587 | − | 1.91517i | 0.451323 | − | 0.104951i | ||||
\(334\) | 5.86650 | − | 15.0680i | 0.321000 | − | 0.824483i | ||||
\(335\) | −2.87881 | − | 4.77396i | −0.157286 | − | 0.260830i | ||||
\(336\) | 4.26565 | − | 13.1283i | 0.232710 | − | 0.716209i | ||||
\(337\) | −21.8660 | + | 28.3564i | −1.19112 | + | 1.54467i | −0.420607 | + | 0.907243i | \(0.638183\pi\) |
−0.770511 | + | 0.637426i | \(0.779999\pi\) | |||||||
\(338\) | 0.433512 | + | 1.11347i | 0.0235800 | + | 0.0605646i | ||||
\(339\) | 7.55784 | + | 11.0530i | 0.410486 | + | 0.600316i | ||||
\(340\) | 0.912546 | − | 6.34690i | 0.0494897 | − | 0.344209i | ||||
\(341\) | 0.851523 | − | 4.94639i | 0.0461126 | − | 0.267862i | ||||
\(342\) | −8.57373 | − | 59.6316i | −0.463614 | − | 3.22451i | ||||
\(343\) | −10.8522 | + | 9.96010i | −0.585966 | + | 0.537795i | ||||
\(344\) | 4.84639 | + | 0.277127i | 0.261300 | + | 0.0149417i | ||||
\(345\) | −0.725249 | − | 3.57925i | −0.0390461 | − | 0.192700i | ||||
\(346\) | −24.9576 | + | 20.4077i | −1.34173 | + | 1.09713i | ||||
\(347\) | −0.409011 | − | 0.201097i | −0.0219568 | − | 0.0107954i | 0.430210 | − | 0.902729i | \(-0.358440\pi\) |
−0.452167 | + | 0.891934i | \(0.649349\pi\) | |||||||
\(348\) | −36.9714 | + | 13.1914i | −1.98188 | + | 0.707132i | ||||
\(349\) | −7.34662 | − | 9.52726i | −0.393255 | − | 0.509983i | 0.553098 | − | 0.833116i | \(-0.313445\pi\) |
−0.946353 | + | 0.323134i | \(0.895264\pi\) | |||||||
\(350\) | −1.16394 | + | 1.93019i | −0.0622155 | + | 0.103173i | ||||
\(351\) | 6.70146 | + | 7.73390i | 0.357698 | + | 0.412805i | ||||
\(352\) | −8.46054 | + | 23.7784i | −0.450948 | + | 1.26739i | ||||
\(353\) | −9.67440 | + | 11.1649i | −0.514917 | + | 0.594245i | −0.952351 | − | 0.305005i | \(-0.901342\pi\) |
0.437434 | + | 0.899250i | \(0.355887\pi\) | |||||||
\(354\) | −19.5487 | − | 60.1647i | −1.03900 | − | 3.19772i | ||||
\(355\) | −1.75401 | − | 0.625829i | −0.0930930 | − | 0.0332155i | ||||
\(356\) | 13.5282 | + | 13.9202i | 0.716996 | + | 0.737771i | ||||
\(357\) | 8.41252 | + | 7.72094i | 0.445238 | + | 0.408636i | ||||
\(358\) | −16.1312 | + | 23.5911i | −0.852560 | + | 1.24683i | ||||
\(359\) | 12.3481 | + | 2.87143i | 0.651709 | + | 0.151549i | 0.539300 | − | 0.842113i | \(-0.318689\pi\) |
0.112409 | + | 0.993662i | \(0.464143\pi\) | |||||||
\(360\) | −1.64967 | − | 1.19856i | −0.0869455 | − | 0.0631696i | ||||
\(361\) | 38.6639 | + | 4.43626i | 2.03494 | + | 0.233488i | ||||
\(362\) | −44.6830 | −2.34849 | ||||||||
\(363\) | 28.8737 | + | 4.94444i | 1.51547 | + | 0.259516i | ||||
\(364\) | 7.14372 | 0.374433 | ||||||||
\(365\) | 6.90106 | + | 0.791823i | 0.361218 | + | 0.0414459i | ||||
\(366\) | −39.3102 | − | 28.5605i | −2.05478 | − | 1.49288i | ||||
\(367\) | 12.9904 | + | 3.02079i | 0.678093 | + | 0.157684i | 0.551378 | − | 0.834255i | \(-0.314102\pi\) |
0.126715 | + | 0.991939i | \(0.459557\pi\) | |||||||
\(368\) | 3.44357 | − | 5.03607i | 0.179509 | − | 0.262523i | ||||
\(369\) | 24.5716 | + | 22.5516i | 1.27915 | + | 1.17399i | ||||
\(370\) | −2.78597 | − | 2.86669i | −0.144836 | − | 0.149032i | ||||
\(371\) | −3.23394 | − | 1.15387i | −0.167898 | − | 0.0599059i | ||||
\(372\) | −2.16996 | − | 6.67846i | −0.112507 | − | 0.346262i | ||||
\(373\) | 6.92490 | − | 7.99176i | 0.358558 | − | 0.413797i | −0.547598 | − | 0.836741i | \(-0.684458\pi\) |
0.906156 | + | 0.422944i | \(0.139003\pi\) | |||||||
\(374\) | −16.9471 | − | 16.4409i | −0.876315 | − | 0.850140i | ||||
\(375\) | 1.74395 | + | 2.01263i | 0.0900572 | + | 0.103932i | ||||
\(376\) | 0.373271 | − | 0.619000i | 0.0192500 | − | 0.0319225i | ||||
\(377\) | 18.1779 | + | 23.5735i | 0.936209 | + | 1.21410i | ||||
\(378\) | −6.17371 | + | 2.20278i | −0.317542 | + | 0.113299i | ||||
\(379\) | −0.301698 | − | 0.148335i | −0.0154972 | − | 0.00761945i | 0.433456 | − | 0.901175i | \(-0.357294\pi\) |
−0.448953 | + | 0.893555i | \(0.648203\pi\) | |||||||
\(380\) | −10.2654 | + | 8.39398i | −0.526604 | + | 0.430602i | ||||
\(381\) | −8.98808 | − | 44.3579i | −0.460473 | − | 2.27252i | ||||
\(382\) | −6.78982 | − | 0.388256i | −0.347398 | − | 0.0198649i | ||||
\(383\) | 1.59363 | − | 1.46262i | 0.0814307 | − | 0.0747364i | −0.634426 | − | 0.772983i | \(-0.718764\pi\) |
0.715857 | + | 0.698247i | \(0.246036\pi\) | |||||||
\(384\) | −1.49834 | − | 10.4212i | −0.0764618 | − | 0.531804i | ||||
\(385\) | 1.50738 | + | 3.55816i | 0.0768233 | + | 0.181340i | ||||
\(386\) | 2.78589 | − | 19.3763i | 0.141798 | − | 0.986227i | ||||
\(387\) | −22.5001 | − | 32.9054i | −1.14374 | − | 1.67267i | ||||
\(388\) | 4.36505 | + | 11.2115i | 0.221602 | + | 0.569180i | ||||
\(389\) | 12.9836 | − | 16.8374i | 0.658292 | − | 0.853689i | −0.337872 | − | 0.941192i | \(-0.609707\pi\) |
0.996164 | + | 0.0875034i | \(0.0278889\pi\) | |||||||
\(390\) | 5.60202 | − | 17.2412i | 0.283669 | − | 0.873045i | ||||
\(391\) | 2.60604 | + | 4.32164i | 0.131793 | + | 0.218555i | ||||
\(392\) | −1.02011 | + | 2.62014i | −0.0515235 | + | 0.132337i | ||||
\(393\) | −40.4271 | + | 9.40091i | −2.03928 | + | 0.474213i | ||||
\(394\) | −25.3604 | − | 10.7174i | −1.27764 | − | 0.539935i | ||||
\(395\) | −9.48661 | − | 6.09667i | −0.477323 | − | 0.306757i | ||||
\(396\) | 22.4837 | − | 7.32728i | 1.12985 | − | 0.368210i | ||||
\(397\) | 16.5249 | − | 10.6199i | 0.829359 | − | 0.532997i | −0.0557149 | − | 0.998447i | \(-0.517744\pi\) |
0.885074 | + | 0.465450i | \(0.154107\pi\) | |||||||
\(398\) | −26.8685 | + | 4.64979i | −1.34680 | + | 0.233073i | ||||
\(399\) | −2.02074 | − | 23.5270i | −0.101163 | − | 1.17782i | ||||
\(400\) | −0.380708 | + | 4.43251i | −0.0190354 | + | 0.221625i | ||||
\(401\) | −13.5813 | − | 2.35034i | −0.678219 | − | 0.117370i | −0.179004 | − | 0.983848i | \(-0.557287\pi\) |
−0.499215 | + | 0.866478i | \(0.666378\pi\) | |||||||
\(402\) | −26.4550 | + | 11.1800i | −1.31945 | + | 0.557606i | ||||
\(403\) | −4.30817 | + | 3.13007i | −0.214605 | + | 0.155920i | ||||
\(404\) | −20.1313 | + | 11.3686i | −1.00157 | + | 0.565611i | ||||
\(405\) | −0.129399 | − | 4.52954i | −0.00642987 | − | 0.225075i | ||||
\(406\) | −18.2954 | + | 5.37200i | −0.907984 | + | 0.266608i | ||||
\(407\) | −6.78273 | + | 0.981304i | −0.336207 | + | 0.0486414i | ||||
\(408\) | 4.68579 | + | 1.37587i | 0.231981 | + | 0.0681158i | ||||
\(409\) | 9.29794 | − | 35.3730i | 0.459754 | − | 1.74908i | −0.183100 | − | 0.983094i | \(-0.558613\pi\) |
0.642853 | − | 0.765989i | \(-0.277751\pi\) | |||||||
\(410\) | 3.13123 | − | 15.4532i | 0.154640 | − | 0.763180i | ||||
\(411\) | 15.1982 | + | 28.8038i | 0.749671 | + | 1.42078i | ||||
\(412\) | 0.531675 | − | 18.6110i | 0.0261937 | − | 0.916900i | ||||
\(413\) | −3.63709 | − | 13.8369i | −0.178969 | − | 0.680870i | ||||
\(414\) | −10.8380 | + | 0.619740i | −0.532659 | + | 0.0304585i | ||||
\(415\) | 0.393916 | − | 0.405330i | 0.0193366 | − | 0.0198969i | ||||
\(416\) | 24.0302 | − | 11.8149i | 1.17818 | − | 0.579272i | ||||
\(417\) | −7.47541 | + | 16.3689i | −0.366072 | + | 0.801587i | ||||
\(418\) | 2.83050 | + | 48.7468i | 0.138444 | + | 2.38428i | ||||
\(419\) | 16.1709 | + | 35.4093i | 0.789999 | + | 1.72986i | 0.676653 | + | 0.736302i | \(0.263430\pi\) |
0.113346 | + | 0.993556i | \(0.463843\pi\) | |||||||
\(420\) | 4.18532 | + | 3.42232i | 0.204223 | + | 0.166992i | ||||
\(421\) | 6.82249 | − | 12.9301i | 0.332508 | − | 0.630173i | −0.660149 | − | 0.751134i | \(-0.729507\pi\) |
0.992657 | + | 0.120962i | \(0.0385979\pi\) | |||||||
\(422\) | 3.05668 | + | 1.72619i | 0.148797 | + | 0.0840294i | ||||
\(423\) | −5.89707 | + | 0.676626i | −0.286726 | + | 0.0328987i | ||||
\(424\) | −1.45896 | + | 0.167400i | −0.0708532 | + | 0.00812965i | ||||
\(425\) | −3.20439 | − | 1.80960i | −0.155436 | − | 0.0877786i | ||||
\(426\) | −4.47735 | + | 8.48551i | −0.216928 | + | 0.411124i | ||||
\(427\) | −8.50706 | − | 6.95619i | −0.411685 | − | 0.336633i | ||||
\(428\) | −4.46877 | − | 9.78525i | −0.216006 | − | 0.472988i | ||||
\(429\) | −18.2906 | − | 25.1283i | −0.883077 | − | 1.21320i | ||||
\(430\) | −7.82859 | + | 17.1422i | −0.377528 | + | 0.826671i | ||||
\(431\) | −21.3003 | + | 10.4727i | −1.02600 | + | 0.504450i | −0.875020 | − | 0.484086i | \(-0.839152\pi\) |
−0.150980 | + | 0.988537i | \(0.548243\pi\) | |||||||
\(432\) | −9.01692 | + | 9.27820i | −0.433827 | + | 0.446397i | ||||
\(433\) | 0.153753 | − | 0.00879193i | 0.00738891 | − | 0.000422513i | −0.0533940 | − | 0.998574i | \(-0.517004\pi\) |
0.0607829 | + | 0.998151i | \(0.480640\pi\) | |||||||
\(434\) | −0.867140 | − | 3.29894i | −0.0416240 | − | 0.158354i | ||||
\(435\) | −0.643331 | + | 22.5195i | −0.0308454 | + | 1.07973i | ||||
\(436\) | −3.83231 | − | 7.26304i | −0.183534 | − | 0.347837i | ||||
\(437\) | 2.07256 | − | 10.2285i | 0.0991440 | − | 0.489295i | ||||
\(438\) | 9.09754 | − | 34.6106i | 0.434697 | − | 1.65376i | ||||
\(439\) | 6.17951 | + | 1.81447i | 0.294932 | + | 0.0865999i | 0.425851 | − | 0.904793i | \(-0.359975\pi\) |
−0.130919 | + | 0.991393i | \(0.541793\pi\) | |||||||
\(440\) | 1.24999 | + | 1.08120i | 0.0595910 | + | 0.0515441i | ||||
\(441\) | 22.1539 | − | 6.50498i | 1.05495 | − | 0.309761i | ||||
\(442\) | 0.715367 | + | 25.0411i | 0.0340265 | + | 1.19108i | ||||
\(443\) | 7.95182 | − | 4.49060i | 0.377802 | − | 0.213355i | −0.291121 | − | 0.956686i | \(-0.594028\pi\) |
0.668923 | + | 0.743331i | \(0.266755\pi\) | |||||||
\(444\) | −7.75711 | + | 5.63587i | −0.368136 | + | 0.267467i | ||||
\(445\) | 10.2616 | − | 4.33659i | 0.486446 | − | 0.205574i | ||||
\(446\) | −36.2718 | − | 6.27709i | −1.71752 | − | 0.297229i | ||||
\(447\) | −5.19387 | + | 60.4712i | −0.245662 | + | 2.86019i | ||||
\(448\) | 0.580653 | + | 6.76042i | 0.0274333 | + | 0.319400i | ||||
\(449\) | 24.0286 | − | 4.15831i | 1.13398 | − | 0.196243i | 0.427527 | − | 0.904003i | \(-0.359385\pi\) |
0.706453 | + | 0.707760i | \(0.250294\pi\) | |||||||
\(450\) | 6.65950 | − | 4.27980i | 0.313932 | − | 0.201752i | ||||
\(451\) | −18.2958 | − | 19.8994i | −0.861517 | − | 0.937027i | ||||
\(452\) | −7.37004 | − | 4.73644i | −0.346658 | − | 0.222783i | ||||
\(453\) | −46.7930 | − | 19.7749i | −2.19853 | − | 0.929105i | ||||
\(454\) | 11.6706 | − | 2.71388i | 0.547728 | − | 0.127369i | ||||
\(455\) | 1.48748 | − | 3.82055i | 0.0697340 | − | 0.179110i | ||||
\(456\) | −5.21526 | − | 8.64854i | −0.244227 | − | 0.405005i | ||||
\(457\) | 6.57046 | − | 20.2218i | 0.307353 | − | 0.945936i | −0.671435 | − | 0.741063i | \(-0.734322\pi\) |
0.978789 | − | 0.204873i | \(-0.0656781\pi\) | |||||||
\(458\) | 1.10100 | − | 1.42780i | 0.0514463 | − | 0.0667167i | ||||
\(459\) | −3.88284 | − | 9.97299i | −0.181235 | − | 0.465499i | ||||
\(460\) | 1.34870 | + | 1.97241i | 0.0628834 | + | 0.0919640i | ||||
\(461\) | −1.99749 | + | 13.8928i | −0.0930322 | + | 0.647053i | 0.888939 | + | 0.458025i | \(0.151443\pi\) |
−0.981972 | + | 0.189028i | \(0.939466\pi\) | |||||||
\(462\) | 19.2496 | − | 5.07795i | 0.895572 | − | 0.236248i | ||||
\(463\) | 0.223632 | + | 1.55540i | 0.0103931 | + | 0.0722854i | 0.994358 | − | 0.106077i | \(-0.0338291\pi\) |
−0.983965 | + | 0.178363i | \(0.942920\pi\) | |||||||
\(464\) | −27.7275 | + | 25.4481i | −1.28722 | + | 1.18140i | ||||
\(465\) | −4.02356 | − | 0.230075i | −0.186588 | − | 0.0106695i | ||||
\(466\) | −5.59269 | − | 27.6010i | −0.259077 | − | 1.27859i | ||||
\(467\) | −24.3902 | + | 19.9438i | −1.12864 | + | 0.922888i | −0.997651 | − | 0.0684953i | \(-0.978180\pi\) |
−0.130993 | + | 0.991383i | \(0.541817\pi\) | |||||||
\(468\) | −22.5152 | − | 11.0700i | −1.04077 | − | 0.511710i | ||||
\(469\) | −6.11758 | + | 2.18275i | −0.282484 | + | 0.100790i | ||||
\(470\) | 1.71358 | + | 2.22221i | 0.0790416 | + | 0.102503i | ||||
\(471\) | 14.4989 | − | 24.0437i | 0.668074 | − | 1.10788i | ||||
\(472\) | −4.00705 | − | 4.62439i | −0.184440 | − | 0.212855i | ||||
\(473\) | 15.9121 | + | 28.1188i | 0.731639 | + | 1.29291i | ||||
\(474\) | −38.0447 | + | 43.9059i | −1.74745 | + | 2.01667i | ||||
\(475\) | 2.35173 | + | 7.23788i | 0.107905 | + | 0.332097i | ||||
\(476\) | −7.03649 | − | 2.51061i | −0.322517 | − | 0.115074i | ||||
\(477\) | 8.40453 | + | 8.64806i | 0.384817 | + | 0.395967i | ||||
\(478\) | 24.8313 | + | 22.7899i | 1.13576 | + | 1.04239i | ||||
\(479\) | −1.16888 | + | 1.70944i | −0.0534076 | + | 0.0781062i | −0.851251 | − | 0.524758i | \(-0.824156\pi\) |
0.797844 | + | 0.602864i | \(0.205974\pi\) | |||||||
\(480\) | 19.7388 | + | 4.59006i | 0.900949 | + | 0.209507i | ||||
\(481\) | 5.88255 | + | 4.27392i | 0.268221 | + | 0.194874i | ||||
\(482\) | −2.17108 | − | 0.249108i | −0.0988900 | − | 0.0113466i | ||||
\(483\) | −4.25502 | −0.193610 | ||||||||
\(484\) | −18.6608 | + | 4.37402i | −0.848216 | + | 0.198819i | ||||
\(485\) | 6.90497 | 0.313539 | ||||||||
\(486\) | −39.9605 | − | 4.58505i | −1.81265 | − | 0.207982i | ||||
\(487\) | −8.33196 | − | 6.05352i | −0.377557 | − | 0.274311i | 0.382781 | − | 0.923839i | \(-0.374966\pi\) |
−0.760338 | + | 0.649528i | \(0.774966\pi\) | |||||||
\(488\) | −4.57776 | − | 1.06451i | −0.207225 | − | 0.0481882i | ||||
\(489\) | 7.19825 | − | 10.5271i | 0.325516 | − | 0.476052i | ||||
\(490\) | −8.04194 | − | 7.38083i | −0.363298 | − | 0.333432i | ||||
\(491\) | 23.8628 | + | 24.5542i | 1.07691 | + | 1.10812i | 0.993755 | + | 0.111580i | \(0.0355910\pi\) |
0.0831565 | + | 0.996537i | \(0.473500\pi\) | |||||||
\(492\) | −35.6201 | − | 12.7092i | −1.60588 | − | 0.572977i | ||||
\(493\) | −9.62027 | − | 29.6081i | −0.433275 | − | 1.33348i | ||||
\(494\) | 33.9259 | − | 39.1526i | 1.52640 | − | 1.76156i | ||||
\(495\) | 0.762866 | − | 13.5503i | 0.0342883 | − | 0.609039i | ||||
\(496\) | −4.40888 | − | 5.08812i | −0.197965 | − | 0.228463i | ||||
\(497\) | −1.12049 | + | 1.85813i | −0.0502609 | + | 0.0833484i | ||||
\(498\) | −1.77812 | − | 2.30591i | −0.0796795 | − | 0.103330i | ||||
\(499\) | −21.9106 | + | 7.81770i | −0.980855 | + | 0.349968i | −0.777324 | − | 0.629100i | \(-0.783424\pi\) |
−0.203531 | + | 0.979069i | \(0.565242\pi\) | |||||||
\(500\) | −1.56364 | − | 0.768789i | −0.0699280 | − | 0.0343813i | ||||
\(501\) | −17.2319 | + | 14.0904i | −0.769863 | + | 0.629514i | ||||
\(502\) | −8.10271 | − | 39.9884i | −0.361642 | − | 1.78477i | ||||
\(503\) | 10.7011 | + | 0.611911i | 0.477139 | + | 0.0272838i | 0.294004 | − | 0.955804i | \(-0.405012\pi\) |
0.183134 | + | 0.983088i | \(0.441376\pi\) | |||||||
\(504\) | −1.75036 | + | 1.60647i | −0.0779673 | + | 0.0715578i | ||||
\(505\) | 1.88833 | + | 13.1337i | 0.0840298 | + | 0.584440i | ||||
\(506\) | 8.79528 | + | 0.243513i | 0.390998 | + | 0.0108255i | ||||
\(507\) | 0.234091 | − | 1.62814i | 0.0103963 | − | 0.0723081i | ||||
\(508\) | 16.7145 | + | 24.4442i | 0.741588 | + | 1.08454i | ||||
\(509\) | −6.74152 | − | 17.3155i | −0.298813 | − | 0.767494i | −0.998588 | − | 0.0531309i | \(-0.983080\pi\) |
0.699775 | − | 0.714364i | \(-0.253284\pi\) | |||||||
\(510\) | −11.5773 | + | 15.0137i | −0.512649 | + | 0.664816i | ||||
\(511\) | 2.50098 | − | 7.69723i | 0.110637 | − | 0.340506i | ||||
\(512\) | 15.1928 | + | 25.1944i | 0.671432 | + | 1.11345i | ||||
\(513\) | −8.02973 | + | 20.6242i | −0.354521 | + | 0.910580i | ||||
\(514\) | 36.4644 | − | 8.47943i | 1.60838 | − | 0.374012i | ||||
\(515\) | −9.84272 | − | 4.15957i | −0.433722 | − | 0.183292i | ||||
\(516\) | 38.0267 | + | 24.4383i | 1.67403 | + | 1.07583i | ||||
\(517\) | 4.80891 | − | 0.141616i | 0.211495 | − | 0.00622826i | ||||
\(518\) | −3.91815 | + | 2.51805i | −0.172154 | + | 0.110637i | ||||
\(519\) | 43.7305 | − | 7.56786i | 1.91955 | − | 0.332192i | ||||
\(520\) | −0.150055 | − | 1.74706i | −0.00658034 | − | 0.0766135i | ||||
\(521\) | −2.85843 | + | 33.2800i | −0.125230 | + | 1.45803i | 0.616515 | + | 0.787343i | \(0.288544\pi\) |
−0.741745 | + | 0.670682i | \(0.766001\pi\) | |||||||
\(522\) | 65.9869 | + | 11.4195i | 2.88817 | + | 0.499817i | ||||
\(523\) | 18.7086 | − | 7.90631i | 0.818069 | − | 0.345719i | 0.0602496 | − | 0.998183i | \(-0.480810\pi\) |
0.757819 | + | 0.652465i | \(0.226265\pi\) | |||||||
\(524\) | 21.9701 | − | 15.9622i | 0.959766 | − | 0.697311i | ||||
\(525\) | 2.70177 | − | 1.52576i | 0.117915 | − | 0.0665897i | ||||
\(526\) | −0.178442 | − | 6.24630i | −0.00778045 | − | 0.272351i | ||||
\(527\) | 5.34355 | − | 1.56901i | 0.232769 | − | 0.0683470i | ||||
\(528\) | 29.6738 | − | 25.7583i | 1.29139 | − | 1.12098i | ||||
\(529\) | 20.2640 | + | 5.95003i | 0.881041 | + | 0.258697i | ||||
\(530\) | 1.44932 | − | 5.51378i | 0.0629543 | − | 0.239503i | ||||
\(531\) | −9.97864 | + | 49.2465i | −0.433036 | + | 2.13712i | ||||
\(532\) | 7.21001 | + | 13.6645i | 0.312593 | + | 0.592430i | ||||
\(533\) | −0.818992 | + | 28.6685i | −0.0354745 | + | 1.24177i | ||||
\(534\) | −14.5903 | − | 55.5073i | −0.631385 | − | 2.40204i | ||||
\(535\) | −6.16377 | + | 0.352457i | −0.266483 | + | 0.0152381i | ||||
\(536\) | −1.93608 | + | 1.99218i | −0.0836261 | + | 0.0860492i | ||||
\(537\) | 35.3054 | − | 17.3585i | 1.52354 | − | 0.749074i | ||||
\(538\) | −20.5017 | + | 44.8924i | −0.883889 | + | 1.93545i | ||||
\(539\) | −18.3380 | + | 3.73257i | −0.789873 | + | 0.160773i | ||||
\(540\) | −2.10500 | − | 4.60931i | −0.0905848 | − | 0.198353i | ||||
\(541\) | 7.24601 | + | 5.92503i | 0.311530 | + | 0.254737i | 0.775831 | − | 0.630940i | \(-0.217331\pi\) |
−0.464301 | + | 0.885677i | \(0.653694\pi\) | |||||||
\(542\) | 15.1364 | − | 28.6866i | 0.650163 | − | 1.23220i | ||||
\(543\) | 53.5603 | + | 30.2469i | 2.29849 | + | 1.29802i | ||||
\(544\) | −27.8218 | + | 3.19225i | −1.19285 | + | 0.136867i | ||||
\(545\) | −4.68234 | + | 0.537248i | −0.200569 | + | 0.0230132i | ||||
\(546\) | −18.3919 | − | 10.3864i | −0.787100 | − | 0.444496i | ||||
\(547\) | 11.4206 | − | 21.6444i | 0.488308 | − | 0.925447i | −0.509575 | − | 0.860426i | \(-0.670198\pi\) |
0.997884 | − | 0.0650214i | \(-0.0207116\pi\) | |||||||
\(548\) | −16.4957 | − | 13.4884i | −0.704660 | − | 0.576198i | ||||
\(549\) | 16.0327 | + | 35.1068i | 0.684260 | + | 1.49832i | ||||
\(550\) | −5.67199 | + | 2.99919i | −0.241854 | + | 0.127886i | ||||
\(551\) | −26.7447 | + | 58.5628i | −1.13936 | + | 2.49486i | ||||
\(552\) | −1.63311 | + | 0.802948i | −0.0695099 | + | 0.0341757i | ||||
\(553\) | −9.15694 | + | 9.42227i | −0.389393 | + | 0.400676i | ||||
\(554\) | 62.1846 | − | 3.55585i | 2.64197 | − | 0.151073i | ||||
\(555\) | 1.39894 | + | 5.32211i | 0.0593816 | + | 0.225911i | ||||
\(556\) | 0.336215 | − | 11.7690i | 0.0142587 | − | 0.499119i | ||||
\(557\) | 10.6629 | + | 20.2084i | 0.451800 | + | 0.856257i | 0.999804 | + | 0.0197809i | \(0.00629687\pi\) |
−0.548004 | + | 0.836476i | \(0.684612\pi\) | |||||||
\(558\) | −2.37907 | + | 11.7412i | −0.100714 | + | 0.497043i | ||||
\(559\) | 8.71433 | − | 33.1527i | 0.368577 | − | 1.40221i | ||||
\(560\) | 4.97347 | + | 1.46034i | 0.210167 | + | 0.0617107i | ||||
\(561\) | 9.18485 | + | 31.1792i | 0.387785 | + | 1.31639i | ||||
\(562\) | 27.0812 | − | 7.95176i | 1.14235 | − | 0.335425i | ||||
\(563\) | −0.690671 | − | 24.1767i | −0.0291083 | − | 1.01892i | −0.874573 | − | 0.484893i | \(-0.838858\pi\) |
0.845465 | − | 0.534031i | \(-0.179323\pi\) | |||||||
\(564\) | 5.86092 | − | 3.30981i | 0.246789 | − | 0.139368i | ||||
\(565\) | −4.06771 | + | 2.95536i | −0.171130 | + | 0.124333i | ||||
\(566\) | 38.5959 | − | 16.3108i | 1.62231 | − | 0.685593i | ||||
\(567\) | −5.20231 | − | 0.900294i | −0.218476 | − | 0.0378088i | ||||
\(568\) | −0.0794147 | + | 0.924609i | −0.00333217 | + | 0.0387957i | ||||
\(569\) | −3.02226 | − | 35.1875i | −0.126700 | − | 1.47514i | −0.733178 | − | 0.680037i | \(-0.761964\pi\) |
0.606478 | − | 0.795100i | \(-0.292582\pi\) | |||||||
\(570\) | 38.6330 | − | 6.68570i | 1.61816 | − | 0.280033i | ||||
\(571\) | −4.70360 | + | 3.02282i | −0.196840 | + | 0.126501i | −0.635348 | − | 0.772226i | \(-0.719143\pi\) |
0.438508 | + | 0.898727i | \(0.355507\pi\) | |||||||
\(572\) | 17.4233 | + | 10.4857i | 0.728503 | + | 0.438430i | ||||
\(573\) | 7.87597 | + | 5.06158i | 0.329023 | + | 0.211450i | ||||
\(574\) | −16.9218 | − | 7.15121i | −0.706302 | − | 0.298486i | ||||
\(575\) | 1.33570 | − | 0.310603i | 0.0557024 | − | 0.0129530i | ||||
\(576\) | 8.64595 | − | 22.2069i | 0.360248 | − | 0.925289i | ||||
\(577\) | −0.174793 | − | 0.289862i | −0.00727673 | − | 0.0120671i | 0.852689 | − | 0.522418i | \(-0.174970\pi\) |
−0.859966 | + | 0.510351i | \(0.829515\pi\) | |||||||
\(578\) | −2.06674 | + | 6.36078i | −0.0859652 | + | 0.264574i | ||||
\(579\) | −16.4556 | + | 21.3400i | −0.683872 | + | 0.886860i | ||||
\(580\) | −5.34784 | − | 13.7358i | −0.222057 | − | 0.570349i | ||||
\(581\) | −0.371708 | − | 0.543606i | −0.0154211 | − | 0.0225526i | ||||
\(582\) | 5.06259 | − | 35.2111i | 0.209851 | − | 1.45955i | ||||
\(583\) | −6.19379 | − | 7.56110i | −0.256521 | − | 0.313149i | ||||
\(584\) | −0.492616 | − | 3.42622i | −0.0203846 | − | 0.141778i | ||||
\(585\) | −10.6085 | + | 9.73641i | −0.438608 | + | 0.402551i | ||||
\(586\) | −33.4469 | − | 1.91257i | −1.38168 | − | 0.0790074i | ||||
\(587\) | −4.28498 | − | 21.1472i | −0.176860 | − | 0.872839i | −0.965983 | − | 0.258604i | \(-0.916737\pi\) |
0.789123 | − | 0.614235i | \(-0.210535\pi\) | |||||||
\(588\) | −20.2687 | + | 16.5737i | −0.835869 | + | 0.683487i | ||||
\(589\) | −10.3353 | − | 5.08154i | −0.425860 | − | 0.209381i | ||||
\(590\) | 22.3733 | − | 7.98276i | 0.921092 | − | 0.328645i | ||||
\(591\) | 23.1440 | + | 30.0137i | 0.952018 | + | 1.23460i | ||||
\(592\) | −4.74718 | + | 7.87232i | −0.195108 | + | 0.323550i | ||||
\(593\) | −7.76404 | − | 8.96018i | −0.318831 | − | 0.367951i | 0.573599 | − | 0.819136i | \(-0.305547\pi\) |
−0.892430 | + | 0.451186i | \(0.851001\pi\) | |||||||
\(594\) | −18.2907 | − | 3.68943i | −0.750478 | − | 0.151379i | ||||
\(595\) | −2.80786 | + | 3.24044i | −0.115111 | + | 0.132845i | ||||
\(596\) | −12.2714 | − | 37.7673i | −0.502654 | − | 1.54701i | ||||
\(597\) | 35.3542 | + | 12.6143i | 1.44695 | + | 0.516271i | ||||
\(598\) | −6.50601 | − | 6.69453i | −0.266051 | − | 0.273760i | ||||
\(599\) | 0.607330 | + | 0.557403i | 0.0248148 | + | 0.0227749i | 0.688486 | − | 0.725249i | \(-0.258275\pi\) |
−0.663672 | + | 0.748024i | \(0.731003\pi\) | |||||||
\(600\) | 0.749044 | − | 1.09544i | 0.0305796 | − | 0.0447212i | ||||
\(601\) | −32.3021 | − | 7.51153i | −1.31763 | − | 0.306402i | −0.491990 | − | 0.870601i | \(-0.663731\pi\) |
−0.825639 | + | 0.564199i | \(0.809185\pi\) | |||||||
\(602\) | 17.7636 | + | 12.9060i | 0.723991 | + | 0.526010i | ||||
\(603\) | 22.6635 | + | 2.60039i | 0.922929 | + | 0.105896i | ||||
\(604\) | 33.2375 | 1.35241 | ||||||||
\(605\) | −1.54629 | + | 10.8908i | −0.0628657 | + | 0.442773i | ||||
\(606\) | 68.3580 | 2.77686 | ||||||||
\(607\) | −1.74051 | − | 0.199705i | −0.0706450 | − | 0.00810576i | 0.0785968 | − | 0.996906i | \(-0.474956\pi\) |
−0.149242 | + | 0.988801i | \(0.547683\pi\) | |||||||
\(608\) | 46.8526 | + | 34.0404i | 1.90012 | + | 1.38052i | ||||
\(609\) | 25.5666 | + | 5.94526i | 1.03601 | + | 0.240914i | ||||
\(610\) | 10.2987 | − | 15.0614i | 0.416982 | − | 0.609817i | ||||
\(611\) | −3.76058 | − | 3.45143i | −0.152137 | − | 0.139630i | ||||
\(612\) | 18.2868 | + | 18.8166i | 0.739199 | + | 0.760618i | ||||
\(613\) | −34.3885 | − | 12.2698i | −1.38894 | − | 0.495572i | −0.467465 | − | 0.884012i | \(-0.654832\pi\) |
−0.921474 | + | 0.388439i | \(0.873014\pi\) | |||||||
\(614\) | 12.6096 | + | 38.8084i | 0.508883 | + | 1.56618i | ||||
\(615\) | −14.2139 | + | 16.4038i | −0.573162 | + | 0.661464i | ||||
\(616\) | 1.52387 | − | 1.17722i | 0.0613984 | − | 0.0474315i | ||||
\(617\) | 24.8857 | + | 28.7196i | 1.00186 | + | 1.15621i | 0.987708 | + | 0.156308i | \(0.0499592\pi\) |
0.0141513 | + | 0.999900i | \(0.495495\pi\) | |||||||
\(618\) | −28.4277 | + | 47.1421i | −1.14353 | + | 1.89633i | ||||
\(619\) | −11.8947 | − | 15.4254i | −0.478090 | − | 0.619998i | 0.489659 | − | 0.871914i | \(-0.337121\pi\) |
−0.967749 | + | 0.251916i | \(0.918939\pi\) | |||||||
\(620\) | 2.48350 | − | 0.886111i | 0.0997397 | − | 0.0355871i | ||||
\(621\) | 3.57889 | + | 1.75962i | 0.143616 | + | 0.0706112i | ||||
\(622\) | 19.7484 | − | 16.1482i | 0.791839 | − | 0.647483i | ||||
\(623\) | −2.57767 | − | 12.7213i | −0.103272 | − | 0.509669i | ||||
\(624\) | −41.6220 | − | 2.38003i | −1.66621 | − | 0.0952776i | ||||
\(625\) | −0.736741 | + | 0.676175i | −0.0294696 | + | 0.0270470i | ||||
\(626\) | 3.81235 | + | 26.5155i | 0.152372 | + | 1.05977i | ||||
\(627\) | 29.6050 | − | 60.3475i | 1.18231 | − | 2.41005i | ||||
\(628\) | −2.61437 | + | 18.1833i | −0.104325 | + | 0.725594i | ||||
\(629\) | −4.29221 | − | 6.27715i | −0.171141 | − | 0.250286i | ||||
\(630\) | −3.34629 | − | 8.59487i | −0.133319 | − | 0.342428i | ||||
\(631\) | 8.24772 | − | 10.6958i | 0.328337 | − | 0.425795i | −0.598579 | − | 0.801064i | \(-0.704268\pi\) |
0.926916 | + | 0.375269i | \(0.122450\pi\) | |||||||
\(632\) | −1.73647 | + | 5.34432i | −0.0690732 | + | 0.212586i | ||||
\(633\) | −2.49547 | − | 4.13827i | −0.0991859 | − | 0.164481i | ||||
\(634\) | −8.77188 | + | 22.5304i | −0.348376 | + | 0.894796i | ||||
\(635\) | 16.5534 | − | 3.84933i | 0.656902 | − | 0.152756i | ||||
\(636\) | −12.5961 | − | 5.32314i | −0.499466 | − | 0.211076i | ||||
\(637\) | 16.7032 | + | 10.7345i | 0.661803 | + | 0.425315i | ||||
\(638\) | −52.5068 | − | 13.7522i | −2.07877 | − | 0.544456i | ||||
\(639\) | 6.41088 | − | 4.12002i | 0.253611 | − | 0.162986i | ||||
\(640\) | 3.89553 | − | 0.674149i | 0.153985 | − | 0.0266481i | ||||
\(641\) | −0.560307 | − | 6.52354i | −0.0221308 | − | 0.257664i | −0.999033 | − | 0.0439756i | \(-0.985998\pi\) |
0.976902 | − | 0.213689i | \(-0.0685478\pi\) | |||||||
\(642\) | −2.72184 | + | 31.6899i | −0.107423 | + | 1.25070i | ||||
\(643\) | 34.1813 | + | 5.91531i | 1.34798 | + | 0.233277i | 0.798382 | − | 0.602152i | \(-0.205690\pi\) |
0.549599 | + | 0.835429i | \(0.314781\pi\) | |||||||
\(644\) | 2.56439 | − | 1.08372i | 0.101051 | − | 0.0427046i | ||||
\(645\) | 20.9879 | − | 15.2486i | 0.826397 | − | 0.600412i | ||||
\(646\) | −47.1765 | + | 26.6418i | −1.85614 | + | 1.04821i | ||||
\(647\) | 0.641372 | + | 22.4510i | 0.0252149 | + | 0.882638i | 0.909503 | + | 0.415697i | \(0.136462\pi\) |
−0.884288 | + | 0.466941i | \(0.845356\pi\) | |||||||
\(648\) | −2.16658 | + | 0.636166i | −0.0851113 | + | 0.0249909i | ||||
\(649\) | 11.4394 | − | 39.0863i | 0.449036 | − | 1.53427i | ||||
\(650\) | 6.53159 | + | 1.91785i | 0.256190 | + | 0.0752242i | ||||
\(651\) | −1.19371 | + | 4.54134i | −0.0467851 | + | 0.177989i | ||||
\(652\) | −1.65703 | + | 8.17777i | −0.0648944 | + | 0.320266i | ||||
\(653\) | −15.0632 | − | 28.5478i | −0.589467 | − | 1.11716i | −0.980450 | − | 0.196766i | \(-0.936956\pi\) |
0.390984 | − | 0.920398i | \(-0.372135\pi\) | |||||||
\(654\) | −0.693365 | + | 24.2709i | −0.0271127 | + | 0.949069i | ||||
\(655\) | −3.96214 | − | 15.0735i | −0.154814 | − | 0.588972i | ||||
\(656\) | −36.2007 | + | 2.07003i | −1.41340 | + | 0.0808211i | ||||
\(657\) | −19.8102 | + | 20.3842i | −0.772869 | + | 0.795263i | ||||
\(658\) | 2.93408 | − | 1.44259i | 0.114382 | − | 0.0562380i | ||||
\(659\) | −13.3316 | + | 29.1922i | −0.519326 | + | 1.13717i | 0.450368 | + | 0.892843i | \(0.351293\pi\) |
−0.969694 | + | 0.244323i | \(0.921434\pi\) | |||||||
\(660\) | 5.18448 | + | 14.4902i | 0.201806 | + | 0.564031i | ||||
\(661\) | 8.32285 | + | 18.2245i | 0.323721 | + | 0.708851i | 0.999603 | − | 0.0281589i | \(-0.00896445\pi\) |
−0.675882 | + | 0.737010i | \(0.736237\pi\) | |||||||
\(662\) | 0.189794 | + | 0.155194i | 0.00737654 | + | 0.00603177i | ||||
\(663\) | 16.0934 | − | 30.5004i | 0.625016 | − | 1.18454i | ||||
\(664\) | −0.245247 | − | 0.138497i | −0.00951741 | − | 0.00537473i | ||||
\(665\) | 8.80922 | − | 1.01076i | 0.341607 | − | 0.0391957i | ||||
\(666\) | 16.2510 | − | 1.86463i | 0.629715 | − | 0.0722530i | ||||
\(667\) | 10.1015 | + | 5.70459i | 0.391132 | + | 0.220882i | ||||
\(668\) | 6.79649 | − | 12.8808i | 0.262964 | − | 0.498373i | ||||
\(669\) | 39.2290 | + | 32.0774i | 1.51668 | + | 1.24018i | ||||
\(670\) | −4.48009 | − | 9.81002i | −0.173081 | − | 0.378994i | ||||
\(671\) | −10.5379 | − | 29.4527i | −0.406813 | − | 1.13701i | ||||
\(672\) | 9.80869 | − | 21.4780i | 0.378379 | − | 0.828533i | ||||
\(673\) | 39.9281 | − | 19.6313i | 1.53912 | − | 0.756732i | 0.542588 | − | 0.839999i | \(-0.317444\pi\) |
0.996527 | + | 0.0832665i | \(0.0265353\pi\) | |||||||
\(674\) | −48.2779 | + | 49.6768i | −1.85960 | + | 1.91348i | ||||
\(675\) | −2.90342 | + | 0.166024i | −0.111753 | + | 0.00639026i | ||||
\(676\) | 0.273594 | + | 1.04086i | 0.0105229 | + | 0.0400331i | ||||
\(677\) | −0.530953 | + | 18.5858i | −0.0204062 | + | 0.714309i | 0.923406 | + | 0.383826i | \(0.125394\pi\) |
−0.943812 | + | 0.330484i | \(0.892788\pi\) | |||||||
\(678\) | 12.0882 | + | 22.9096i | 0.464244 | + | 0.879839i | ||||
\(679\) | 1.59769 | − | 7.88491i | 0.0613137 | − | 0.302595i | ||||
\(680\) | −0.466190 | + | 1.77357i | −0.0178776 | + | 0.0680133i | ||||
\(681\) | −15.8263 | − | 4.64703i | −0.606466 | − | 0.178075i | ||||
\(682\) | 2.72734 | − | 9.31880i | 0.104435 | − | 0.356835i | ||||
\(683\) | −0.655873 | + | 0.192582i | −0.0250963 | + | 0.00736894i | −0.294257 | − | 0.955726i | \(-0.595072\pi\) |
0.269160 | + | 0.963095i | \(0.413254\pi\) | |||||||
\(684\) | −1.54950 | − | 54.2397i | −0.0592468 | − | 2.07391i | ||||
\(685\) | −10.6486 | + | 6.01351i | −0.406860 | + | 0.229765i | ||||
\(686\) | −23.0536 | + | 16.7494i | −0.880190 | + | 0.639495i | ||||
\(687\) | −2.28625 | + | 0.966176i | −0.0872258 | + | 0.0368619i | ||||
\(688\) | 42.7035 | + | 7.39013i | 1.62805 | + | 0.281746i | ||||
\(689\) | −0.887420 | + | 10.3320i | −0.0338080 | + | 0.393619i | ||||
\(690\) | −0.604577 | − | 7.03896i | −0.0230159 | − | 0.267969i | ||||
\(691\) | 29.3677 | − | 5.08227i | 1.11720 | − | 0.193339i | 0.418126 | − | 0.908389i | \(-0.362687\pi\) |
0.699073 | + | 0.715050i | \(0.253596\pi\) | |||||||
\(692\) | −24.4278 | + | 15.6988i | −0.928606 | + | 0.596779i | ||||
\(693\) | −15.2968 | − | 4.00643i | −0.581077 | − | 0.152192i | ||||
\(694\) | −0.741740 | − | 0.476688i | −0.0281561 | − | 0.0180948i | ||||
\(695\) | −6.22423 | − | 2.63038i | −0.236098 | − | 0.0997760i | ||||
\(696\) | 10.9346 | − | 2.54273i | 0.414475 | − | 0.0963819i | ||||
\(697\) | 10.8820 | − | 27.9503i | 0.412187 | − | 1.05869i | ||||
\(698\) | −12.0187 | − | 19.9307i | −0.454913 | − | 0.754389i | ||||
\(699\) | −11.9799 | + | 36.8704i | −0.453123 | + | 1.39457i | ||||
\(700\) | −1.23969 | + | 1.60766i | −0.0468560 | + | 0.0607639i | ||||
\(701\) | 0.127420 | + | 0.327276i | 0.00481259 | + | 0.0123610i | 0.934250 | − | 0.356619i | \(-0.116071\pi\) |
−0.929437 | + | 0.368980i | \(0.879707\pi\) | |||||||
\(702\) | 11.1742 | + | 16.3418i | 0.421743 | + | 0.616780i | ||||
\(703\) | −2.23801 | + | 15.5657i | −0.0844081 | + | 0.587071i | ||||
\(704\) | −8.50691 | + | 17.3407i | −0.320616 | + | 0.653553i | ||||
\(705\) | −0.549760 | − | 3.82367i | −0.0207052 | − | 0.144008i | ||||
\(706\) | −21.0555 | + | 19.3246i | −0.792435 | + | 0.727290i | ||||
\(707\) | 15.4345 | + | 0.882576i | 0.580474 | + | 0.0331927i | ||||
\(708\) | −11.3154 | − | 55.8435i | −0.425258 | − | 2.09873i | ||||
\(709\) | 16.0305 | − | 13.1081i | 0.602039 | − | 0.492285i | −0.282177 | − | 0.959362i | \(-0.591057\pi\) |
0.884216 | + | 0.467077i | \(0.154693\pi\) | |||||||
\(710\) | −3.23306 | − | 1.58959i | −0.121334 | − | 0.0596561i | ||||
\(711\) | 43.4612 | − | 15.5069i | 1.62992 | − | 0.581555i | ||||
\(712\) | −3.38992 | − | 4.39613i | −0.127043 | − | 0.164752i | ||||
\(713\) | −1.07167 | + | 1.77717i | −0.0401344 | + | 0.0665555i | ||||
\(714\) | 14.4656 | + | 16.6942i | 0.541361 | + | 0.624764i | ||||
\(715\) | 9.23579 | − | 7.13483i | 0.345399 | − | 0.266828i | ||||
\(716\) | −16.8566 | + | 19.4536i | −0.629961 | + | 0.727014i | ||||
\(717\) | −14.3376 | − | 44.1266i | −0.535447 | − | 1.64794i | ||||
\(718\) | 23.0989 | + | 8.24168i | 0.862044 | + | 0.307577i | ||||
\(719\) | 17.4023 | + | 17.9065i | 0.648996 | + | 0.667801i | 0.959154 | − | 0.282884i | \(-0.0912911\pi\) |
−0.310158 | + | 0.950685i | \(0.600382\pi\) | |||||||
\(720\) | −13.4122 | − | 12.3096i | −0.499842 | − | 0.458751i | ||||
\(721\) | −7.02732 | + | 10.2771i | −0.261711 | + | 0.382740i | ||||
\(722\) | 73.3306 | + | 17.0523i | 2.72908 | + | 0.634621i | ||||
\(723\) | 2.43379 | + | 1.76825i | 0.0905136 | + | 0.0657620i | ||||
\(724\) | −39.9831 | − | 4.58764i | −1.48596 | − | 0.170498i | ||||
\(725\) | −8.45962 | −0.314183 | ||||||||
\(726\) | 54.4026 | + | 15.8701i | 2.01907 | + | 0.588993i | ||||
\(727\) | −7.49684 | −0.278042 | −0.139021 | − | 0.990289i | \(-0.544396\pi\) | ||||
−0.139021 | + | 0.990289i | \(0.544396\pi\) | |||||||
\(728\) | −2.02972 | − | 0.232888i | −0.0752263 | − | 0.00863142i | ||||
\(729\) | 33.7980 | + | 24.5557i | 1.25178 | + | 0.909471i | ||||
\(730\) | 13.0887 | + | 3.04364i | 0.484434 | + | 0.112650i | ||||
\(731\) | −20.2348 | + | 29.5925i | −0.748412 | + | 1.09452i | ||||
\(732\) | −32.2431 | − | 29.5925i | −1.19174 | − | 1.09377i | ||||
\(733\) | −10.5770 | − | 10.8835i | −0.390670 | − | 0.401989i | 0.493054 | − | 0.869999i | \(-0.335880\pi\) |
−0.883724 | + | 0.468009i | \(0.844971\pi\) | |||||||
\(734\) | 24.3004 | + | 8.67036i | 0.896943 | + | 0.320029i | ||||
\(735\) | 4.64342 | + | 14.2910i | 0.171275 | + | 0.527131i | ||||
\(736\) | 6.83383 | − | 7.88666i | 0.251898 | − | 0.290706i | ||||
\(737\) | −18.1244 | − | 3.65588i | −0.667622 | − | 0.134666i | ||||
\(738\) | 42.2517 | + | 48.7610i | 1.55531 | + | 1.79492i | ||||
\(739\) | 10.5472 | − | 17.4906i | 0.387985 | − | 0.643400i | −0.599634 | − | 0.800274i | \(-0.704687\pi\) |
0.987619 | + | 0.156874i | \(0.0501417\pi\) | |||||||
\(740\) | −2.19861 | − | 2.85121i | −0.0808225 | − | 0.104812i | ||||
\(741\) | −67.1693 | + | 23.9660i | −2.46753 | + | 0.880411i | ||||
\(742\) | −5.96093 | − | 2.93079i | −0.218833 | − | 0.107593i | ||||
\(743\) | −20.9683 | + | 17.1457i | −0.769251 | + | 0.629013i | −0.933980 | − | 0.357326i | \(-0.883689\pi\) |
0.164729 | + | 0.986339i | \(0.447325\pi\) | |||||||
\(744\) | 0.398822 | + | 1.96827i | 0.0146215 | + | 0.0721601i | ||||
\(745\) | −22.7536 | − | 1.30110i | −0.833628 | − | 0.0476686i | ||||
\(746\) | 15.0714 | − | 13.8325i | 0.551805 | − | 0.506442i | ||||
\(747\) | 0.329153 | + | 2.28931i | 0.0120431 | + | 0.0837615i | ||||
\(748\) | −13.4766 | − | 16.4516i | −0.492753 | − | 0.601530i | ||||
\(749\) | −1.02371 | + | 7.12008i | −0.0374056 | + | 0.260162i | ||||
\(750\) | 2.90791 | + | 4.25269i | 0.106182 | + | 0.155286i | ||||
\(751\) | 1.66822 | + | 4.28478i | 0.0608741 | + | 0.156354i | 0.959016 | − | 0.283352i | \(-0.0914464\pi\) |
−0.898142 | + | 0.439706i | \(0.855083\pi\) | |||||||
\(752\) | 3.94071 | − | 5.11040i | 0.143703 | − | 0.186357i | ||||
\(753\) | −17.3566 | + | 53.4180i | −0.632508 | + | 1.94666i | ||||
\(754\) | 29.7380 | + | 49.3150i | 1.08300 | + | 1.79595i | ||||
\(755\) | 6.92076 | − | 17.7758i | 0.251872 | − | 0.646929i | ||||
\(756\) | −5.75051 | + | 1.33722i | −0.209144 | + | 0.0486344i | ||||
\(757\) | −7.49567 | − | 3.16770i | −0.272435 | − | 0.115132i | 0.248773 | − | 0.968562i | \(-0.419973\pi\) |
−0.521208 | + | 0.853430i | \(0.674518\pi\) | |||||||
\(758\) | −0.547129 | − | 0.351618i | −0.0198726 | − | 0.0127714i | ||||
\(759\) | −10.3778 | − | 6.24561i | −0.376691 | − | 0.226701i | ||||
\(760\) | 3.19032 | − | 2.05029i | 0.115725 | − | 0.0743719i | ||||
\(761\) | 19.8690 | − | 3.43846i | 0.720250 | − | 0.124644i | 0.201400 | − | 0.979509i | \(-0.435451\pi\) |
0.518850 | + | 0.854865i | \(0.326360\pi\) | |||||||
\(762\) | −7.49258 | − | 87.2345i | −0.271427 | − | 3.16017i | ||||
\(763\) | −0.469918 | + | 5.47116i | −0.0170122 | + | 0.198069i | ||||
\(764\) | −6.03580 | − | 1.04454i | −0.218367 | − | 0.0377900i | ||||
\(765\) | 13.8711 | − | 5.86197i | 0.501510 | − | 0.211940i | ||||
\(766\) | 3.38537 | − | 2.45962i | 0.122318 | − | 0.0888695i | ||||
\(767\) | −37.6242 | + | 21.2474i | −1.35853 | + | 0.767198i | ||||
\(768\) | −1.46736 | − | 51.3644i | −0.0529489 | − | 1.85345i | ||||
\(769\) | −51.6479 | + | 15.1652i | −1.86247 | + | 0.546871i | −0.863366 | + | 0.504579i | \(0.831648\pi\) |
−0.999105 | + | 0.0422922i | \(0.986534\pi\) | |||||||
\(770\) | 2.11243 | + | 7.17090i | 0.0761265 | + | 0.258421i | ||||
\(771\) | −49.4488 | − | 14.5195i | −1.78086 | − | 0.522906i | ||||
\(772\) | 4.48224 | − | 17.0522i | 0.161319 | − | 0.613723i | ||||
\(773\) | 3.62306 | − | 17.8805i | 0.130312 | − | 0.643117i | −0.860674 | − | 0.509156i | \(-0.829958\pi\) |
0.990987 | − | 0.133961i | \(-0.0427697\pi\) | |||||||
\(774\) | −35.9871 | − | 68.2032i | −1.29353 | − | 2.45151i | ||||
\(775\) | 0.0432148 | − | 1.51271i | 0.00155232 | − | 0.0543383i | ||||
\(776\) | −0.874723 | − | 3.32779i | −0.0314007 | − | 0.119461i | ||||
\(777\) | 6.40111 | − | 0.366029i | 0.229639 | − | 0.0131312i | ||||
\(778\) | 28.6664 | − | 29.4970i | 1.02774 | − | 1.05752i | ||||
\(779\) | −55.6635 | + | 27.3679i | −1.99435 | + | 0.980557i | ||||
\(780\) | 6.78297 | − | 14.8526i | 0.242869 | − | 0.531809i | ||||
\(781\) | −5.46024 | + | 2.88722i | −0.195383 | + | 0.103313i | ||||
\(782\) | 4.05560 | + | 8.88053i | 0.145028 | + | 0.317567i | ||||
\(783\) | −19.0454 | − | 15.5734i | −0.680628 | − | 0.556547i | ||||
\(784\) | −11.7145 | + | 22.2014i | −0.418374 | + | 0.792908i | ||||
\(785\) | 9.18031 | + | 5.18436i | 0.327659 | + | 0.185038i | ||||
\(786\) | −79.7707 | + | 9.15284i | −2.84533 | + | 0.326471i | ||||
\(787\) | −25.6202 | + | 2.93965i | −0.913263 | + | 0.104787i | −0.557868 | − | 0.829929i | \(-0.688381\pi\) |
−0.355394 | + | 0.934716i | \(0.615653\pi\) | |||||||
\(788\) | −21.5926 | − | 12.1939i | −0.769205 | − | 0.434390i | ||||
\(789\) | −4.01436 | + | 7.60806i | −0.142915 | + | 0.270854i | ||||
\(790\) | −16.8881 | − | 13.8093i | −0.600851 | − | 0.491313i | ||||
\(791\) | 2.43359 | + | 5.32881i | 0.0865284 | + | 0.189471i | ||||
\(792\) | −6.62708 | + | 1.34889i | −0.235483 | + | 0.0479308i | ||||
\(793\) | −13.7870 | + | 30.1893i | −0.489591 | + | 1.07205i | ||||
\(794\) | 34.1014 | − | 16.7665i | 1.21021 | − | 0.595022i | ||||
\(795\) | −5.46966 | + | 5.62814i | −0.193989 | + | 0.199610i | ||||
\(796\) | −24.5199 | + | 1.40210i | −0.869084 | + | 0.0496960i | ||||
\(797\) | −4.66075 | − | 17.7313i | −0.165092 | − | 0.628076i | −0.997288 | − | 0.0735947i | \(-0.976553\pi\) |
0.832196 | − | 0.554482i | \(-0.187083\pi\) | |||||||
\(798\) | 1.30448 | − | 45.6627i | 0.0461780 | − | 1.61644i | ||||
\(799\) | 2.49115 | + | 4.72125i | 0.0881304 | + | 0.167026i | ||||
\(800\) | −1.51123 | + | 7.45820i | −0.0534299 | + | 0.263687i | ||||
\(801\) | −11.5889 | + | 44.0888i | −0.409474 | + | 1.55780i | ||||
\(802\) | −25.5840 | − | 7.51213i | −0.903401 | − | 0.265262i | ||||
\(803\) | 17.3980 | − | 15.1023i | 0.613961 | − | 0.532947i | ||||
\(804\) | −24.8203 | + | 7.28788i | −0.875343 | + | 0.257024i | ||||
\(805\) | −0.0456262 | − | 1.59713i | −0.00160811 | − | 0.0562913i | ||||
\(806\) | −8.97021 | + | 5.06571i | −0.315962 | + | 0.178432i | ||||
\(807\) | 54.9634 | − | 39.9333i | 1.93481 | − | 1.40572i | ||||
\(808\) | 6.09044 | − | 2.57384i | 0.214261 | − | 0.0905474i | ||||
\(809\) | −5.67534 | − | 0.982157i | −0.199535 | − | 0.0345308i | 0.0698786 | − | 0.997556i | \(-0.477739\pi\) |
−0.269413 | + | 0.963025i | \(0.586830\pi\) | |||||||
\(810\) | 0.750160 | − | 8.73396i | 0.0263579 | − | 0.306880i | ||||
\(811\) | −1.96458 | − | 22.8732i | −0.0689858 | − | 0.803187i | −0.946304 | − | 0.323278i | \(-0.895215\pi\) |
0.877318 | − | 0.479909i | \(-0.159330\pi\) | |||||||
\(812\) | −16.9226 | + | 2.92857i | −0.593866 | + | 0.102773i | ||||
\(813\) | −37.5622 | + | 24.1398i | −1.31736 | + | 0.846618i | ||||
\(814\) | −13.2523 | + | 0.390262i | −0.464492 | + | 0.0136787i | ||||
\(815\) | 4.02855 | + | 2.58899i | 0.141114 | + | 0.0906884i | ||||
\(816\) | 40.1608 | + | 16.9721i | 1.40591 | + | 0.594142i | ||||
\(817\) | 72.2096 | − | 16.7916i | 2.52629 | − | 0.587464i | ||||
\(818\) | 25.6704 | − | 65.9338i | 0.897543 | − | 2.30532i | ||||
\(819\) | 8.66356 | + | 14.3669i | 0.302729 | + | 0.502020i | ||||
\(820\) | 4.38847 | − | 13.5063i | 0.153252 | − | 0.471662i | ||||
\(821\) | 17.9315 | − | 23.2540i | 0.625815 | − | 0.811571i | −0.367127 | − | 0.930171i | \(-0.619659\pi\) |
0.992942 | + | 0.118599i | \(0.0378404\pi\) | |||||||
\(822\) | 22.8579 | + | 58.7101i | 0.797261 | + | 2.04775i | ||||
\(823\) | −24.6788 | − | 36.0916i | −0.860249 | − | 1.25807i | −0.964649 | − | 0.263539i | \(-0.915110\pi\) |
0.104400 | − | 0.994535i | \(-0.466708\pi\) | |||||||
\(824\) | −0.757790 | + | 5.27055i | −0.0263989 | + | 0.183608i | ||||
\(825\) | 8.82907 | + | 0.244448i | 0.307389 | + | 0.00851060i | ||||
\(826\) | −3.93888 | − | 27.3955i | −0.137051 | − | 0.953212i | ||||
\(827\) | 35.5544 | − | 32.6316i | 1.23635 | − | 1.13471i | 0.250315 | − | 0.968164i | \(-0.419466\pi\) |
0.986034 | − | 0.166546i | \(-0.0532615\pi\) | |||||||
\(828\) | −9.76167 | − | 0.558193i | −0.339242 | − | 0.0193985i | ||||
\(829\) | −3.28090 | − | 16.1919i | −0.113950 | − | 0.562366i | −0.995856 | − | 0.0909413i | \(-0.971012\pi\) |
0.881906 | − | 0.471425i | \(-0.156260\pi\) | |||||||
\(830\) | 0.846459 | − | 0.692146i | 0.0293810 | − | 0.0240247i | ||||
\(831\) | −76.9461 | − | 37.8319i | −2.66923 | − | 1.31237i | ||||
\(832\) | 19.3009 | − | 6.88656i | 0.669139 | − | 0.238748i | ||||
\(833\) | −12.6799 | − | 16.4436i | −0.439332 | − | 0.569735i | ||||
\(834\) | −17.9768 | + | 29.8112i | −0.622486 | + | 1.03228i | ||||
\(835\) | −5.47363 | − | 6.31691i | −0.189423 | − | 0.218606i | ||||
\(836\) | −2.47210 | + | 43.9102i | −0.0854993 | + | 1.51866i | ||||
\(837\) | 2.88205 | − | 3.32607i | 0.0996184 | − | 0.114966i | ||||
\(838\) | 23.2707 | + | 71.6199i | 0.803874 | + | 2.47407i | ||||
\(839\) | −0.975898 | − | 0.348200i | −0.0336917 | − | 0.0120212i | 0.319150 | − | 0.947704i | \(-0.396603\pi\) |
−0.352842 | + | 0.935683i | \(0.614785\pi\) | |||||||
\(840\) | −1.07759 | − | 1.10881i | −0.0371804 | − | 0.0382577i | ||||
\(841\) | −31.3596 | − | 28.7815i | −1.08136 | − | 0.992467i | ||||
\(842\) | 15.9636 | − | 23.3461i | 0.550143 | − | 0.804559i | ||||
\(843\) | −37.8443 | − | 8.80031i | −1.30343 | − | 0.303099i | ||||
\(844\) | 2.55794 | + | 1.85845i | 0.0880480 | + | 0.0639706i | ||||
\(845\) | 0.613633 | + | 0.0704079i | 0.0211096 | + | 0.00242210i | ||||
\(846\) | −11.4829 | −0.394791 | ||||||||
\(847\) | 12.0786 | + | 4.28568i | 0.415025 | + | 0.147258i | ||||
\(848\) | −13.1107 | −0.450224 | ||||||||
\(849\) | −57.3050 | − | 6.57514i | −1.96670 | − | 0.225658i | ||||
\(850\) | −5.75953 | − | 4.18454i | −0.197550 | − | 0.143529i | ||||
\(851\) | 2.76003 | + | 0.641819i | 0.0946128 | + | 0.0220013i | ||||
\(852\) | −4.87763 | + | 7.13330i | −0.167105 | + | 0.244383i | ||||
\(853\) | 41.3136 | + | 37.9173i | 1.41455 | + | 1.29826i | 0.896593 | + | 0.442855i | \(0.146034\pi\) |
0.517956 | + | 0.855407i | \(0.326693\pi\) | |||||||
\(854\) | −14.8159 | − | 15.2452i | −0.506990 | − | 0.521681i | ||||
\(855\) | −29.3307 | − | 10.4652i | −1.00309 | − | 0.357902i | ||||
\(856\) | 0.950692 | + | 2.92593i | 0.0324940 | + | 0.100006i | ||||
\(857\) | 21.5275 | − | 24.8441i | 0.735366 | − | 0.848658i | −0.257699 | − | 0.966225i | \(-0.582964\pi\) |
0.993065 | + | 0.117568i | \(0.0375097\pi\) | |||||||
\(858\) | −29.6118 | − | 52.3280i | −1.01093 | − | 1.78645i | ||||
\(859\) | −16.6037 | − | 19.1617i | −0.566510 | − | 0.653787i | 0.398139 | − | 0.917325i | \(-0.369656\pi\) |
−0.964649 | + | 0.263538i | \(0.915111\pi\) | |||||||
\(860\) | −8.76517 | + | 14.5354i | −0.298890 | + | 0.495653i | ||||
\(861\) | 15.4429 | + | 20.0267i | 0.526293 | + | 0.682508i | ||||
\(862\) | −43.2470 | + | 15.4305i | −1.47300 | + | 0.525565i | ||||
\(863\) | 43.2007 | + | 21.2404i | 1.47057 | + | 0.723030i | 0.988233 | − | 0.152956i | \(-0.0488793\pi\) |
0.482336 | + | 0.875986i | \(0.339788\pi\) | |||||||
\(864\) | −17.1321 | + | 14.0089i | −0.582846 | + | 0.476591i | ||||
\(865\) | 3.30952 | + | 16.3331i | 0.112527 | + | 0.555343i | ||||
\(866\) | 0.297441 | + | 0.0170083i | 0.0101074 | + | 0.000577965i | ||||
\(867\) | 6.78311 | − | 6.22548i | 0.230366 | − | 0.211428i | ||||
\(868\) | −0.437227 | − | 3.04098i | −0.0148405 | − | 0.103218i | ||||
\(869\) | −36.1636 | + | 9.53980i | −1.22677 | + | 0.323615i | ||||
\(870\) | −6.20244 | + | 43.1389i | −0.210282 | + | 1.46255i | ||||
\(871\) | 11.0726 | + | 16.1932i | 0.375181 | + | 0.548685i | ||||
\(872\) | 0.852082 | + | 2.18855i | 0.0288551 | + | 0.0741138i | ||||
\(873\) | −17.2541 | + | 22.3755i | −0.583962 | + | 0.757295i | ||||
\(874\) | 6.23888 | − | 19.2013i | 0.211033 | − | 0.649494i | ||||
\(875\) | 0.601667 | + | 0.997753i | 0.0203401 | + | 0.0337302i | ||||
\(876\) | 11.6941 | − | 30.0362i | 0.395109 | − | 1.01483i | ||||
\(877\) | −51.6412 | + | 12.0086i | −1.74380 | + | 0.405503i | −0.972858 | − | 0.231404i | \(-0.925668\pi\) |
−0.770941 | + | 0.636907i | \(0.780214\pi\) | |||||||
\(878\) | 11.4764 | + | 4.84997i | 0.387310 | + | 0.163679i | ||||
\(879\) | 38.7973 | + | 24.9335i | 1.30860 | + | 0.840987i | ||||
\(880\) | 9.98658 | + | 10.8619i | 0.336648 | + | 0.366154i | ||||
\(881\) | −47.0400 | + | 30.2308i | −1.58482 | + | 1.01850i | −0.610870 | + | 0.791731i | \(0.709180\pi\) |
−0.973948 | + | 0.226770i | \(0.927184\pi\) | |||||||
\(882\) | 44.0126 | − | 7.61668i | 1.48198 | − | 0.256467i | ||||
\(883\) | 0.451433 | + | 5.25594i | 0.0151919 | + | 0.176876i | 0.999995 | + | 0.00320098i | \(0.00101891\pi\) |
−0.984803 | + | 0.173675i | \(0.944436\pi\) | |||||||
\(884\) | −1.93087 | + | 22.4807i | −0.0649422 | + | 0.756108i | ||||
\(885\) | −32.2219 | − | 5.57623i | −1.08313 | − | 0.187443i | ||||
\(886\) | 16.2730 | − | 6.87705i | 0.546704 | − | 0.231039i | ||||
\(887\) | −0.771157 | + | 0.560278i | −0.0258929 | + | 0.0188123i | −0.600656 | − | 0.799507i | \(-0.705094\pi\) |
0.574764 | + | 0.818320i | \(0.305094\pi\) | |||||||
\(888\) | 2.38773 | − | 1.34841i | 0.0801270 | − | 0.0452498i | ||||
\(889\) | −0.565449 | − | 19.7933i | −0.0189646 | − | 0.663846i | ||||
\(890\) | 20.6783 | − | 6.07169i | 0.693138 | − | 0.203524i | ||||
\(891\) | −11.3668 | − | 9.83184i | −0.380801 | − | 0.329379i | ||||
\(892\) | −31.8122 | − | 9.34091i | −1.06515 | − | 0.312757i | ||||
\(893\) | 2.80640 | − | 10.6767i | 0.0939127 | − | 0.357281i | ||||
\(894\) | −23.3173 | + | 115.076i | −0.779848 | + | 3.84870i | ||||
\(895\) | 6.89411 | + | 13.0658i | 0.230445 | + | 0.436741i | ||||
\(896\) | 0.131536 | − | 4.60437i | 0.00439432 | − | 0.153821i | ||||
\(897\) | 3.26691 | + | 12.4286i | 0.109079 | + | 0.414979i | ||||
\(898\) | 47.0981 | − | 2.69317i | 1.57168 | − | 0.0898721i | ||||
\(899\) | 8.92234 | − | 9.18087i | 0.297577 | − | 0.306199i | ||||
\(900\) | 6.39845 | − | 3.14591i | 0.213282 | − | 0.104864i | ||||
\(901\) | 4.50523 | − | 9.86507i | 0.150091 | − | 0.328653i | ||||
\(902\) | −30.7749 | − | 42.2797i | −1.02469 | − | 1.40776i | ||||
\(903\) | −12.5564 | − | 27.4947i | −0.417851 | − | 0.914966i | ||||
\(904\) | 1.93961 | + | 1.58601i | 0.0645105 | + | 0.0527500i | ||||
\(905\) | −10.7789 | + | 20.4283i | −0.358302 | + | 0.679058i | ||||
\(906\) | −85.5717 | − | 48.3245i | −2.84293 | − | 1.60548i | ||||
\(907\) | 57.3084 | − | 6.57553i | 1.90289 | − | 0.218337i | 0.918640 | − | 0.395095i | \(-0.129288\pi\) |
0.984254 | + | 0.176758i | \(0.0565611\pi\) | |||||||
\(908\) | 10.7217 | − | 1.23020i | 0.355812 | − | 0.0408256i | ||||
\(909\) | −47.2780 | − | 26.6991i | −1.56811 | − | 0.885553i | ||||
\(910\) | 3.70132 | − | 7.01479i | 0.122698 | − | 0.232538i | ||||
\(911\) | 10.2646 | + | 8.39336i | 0.340083 | + | 0.278084i | 0.787595 | − | 0.616194i | \(-0.211326\pi\) |
−0.447512 | + | 0.894278i | \(0.647690\pi\) | |||||||
\(912\) | −37.4557 | − | 82.0165i | −1.24028 | − | 2.71584i | ||||
\(913\) | −0.108665 | − | 1.87144i | −0.00359630 | − | 0.0619355i | ||||
\(914\) | 17.0872 | − | 37.4158i | 0.565195 | − | 1.23760i | ||||
\(915\) | −22.5402 | + | 11.0823i | −0.745155 | + | 0.366368i | ||||
\(916\) | 1.13179 | − | 1.16458i | 0.0373953 | − | 0.0384789i | ||||
\(917\) | −18.1295 | + | 1.03668i | −0.598689 | + | 0.0342343i | ||||
\(918\) | −5.26327 | − | 20.0236i | −0.173714 | − | 0.660876i | ||||
\(919\) | −0.693875 | + | 24.2888i | −0.0228888 | + | 0.801214i | 0.904361 | + | 0.426769i | \(0.140348\pi\) |
−0.927249 | + | 0.374444i | \(0.877833\pi\) | |||||||
\(920\) | −0.318899 | − | 0.604381i | −0.0105138 | − | 0.0199258i | ||||
\(921\) | 11.1555 | − | 55.0543i | 0.367585 | − | 1.81410i | ||||
\(922\) | −6.90266 | + | 26.2604i | −0.227327 | + | 0.864841i | ||||
\(923\) | 6.28775 | + | 1.84625i | 0.206964 | + | 0.0607701i | ||||
\(924\) | 17.7462 | − | 2.56747i | 0.583809 | − | 0.0844636i | ||||
\(925\) | −1.98266 | + | 0.582162i | −0.0651895 | + | 0.0191414i | ||||
\(926\) | 0.0868077 | + | 3.03867i | 0.00285268 | + | 0.0998568i | ||||
\(927\) | 38.0739 | − | 21.5013i | 1.25051 | − | 0.706196i | ||||
\(928\) | −52.0811 | + | 37.8391i | −1.70965 | + | 1.24213i | ||||
\(929\) | 24.5131 | − | 10.3593i | 0.804247 | − | 0.339878i | 0.0519066 | − | 0.998652i | \(-0.483470\pi\) |
0.752341 | + | 0.658774i | \(0.228925\pi\) | |||||||
\(930\) | −7.68223 | − | 1.32946i | −0.251910 | − | 0.0435948i | ||||
\(931\) | −3.67470 | + | 42.7838i | −0.120434 | + | 1.40218i | ||||
\(932\) | −2.17062 | − | 25.2721i | −0.0711011 | − | 0.827816i | ||||
\(933\) | −34.6030 | + | 5.98828i | −1.13285 | + | 0.196047i | ||||
\(934\) | −51.2741 | + | 32.9519i | −1.67774 | + | 1.07822i | ||||
\(935\) | −11.6046 | + | 3.78188i | −0.379513 | + | 0.123681i | ||||
\(936\) | 6.03627 | + | 3.87928i | 0.197302 | + | 0.126798i | ||||
\(937\) | −9.74211 | − | 4.11705i | −0.318261 | − | 0.134498i | 0.224287 | − | 0.974523i | \(-0.427995\pi\) |
−0.542548 | + | 0.840025i | \(0.682540\pi\) | |||||||
\(938\) | −12.2389 | + | 2.84602i | −0.399613 | + | 0.0929260i | ||||
\(939\) | 13.3792 | − | 34.3641i | 0.436613 | − | 1.12143i | ||||
\(940\) | 1.30519 | + | 2.16441i | 0.0425705 | + | 0.0705953i | ||||
\(941\) | 7.27314 | − | 22.3844i | 0.237098 | − | 0.729711i | −0.759739 | − | 0.650228i | \(-0.774673\pi\) |
0.996836 | − | 0.0794826i | \(-0.0253268\pi\) | |||||||
\(942\) | 33.1679 | − | 43.0129i | 1.08067 | − | 1.40144i | ||||
\(943\) | 4.05509 | + | 10.4154i | 0.132052 | + | 0.339173i | ||||
\(944\) | −30.8347 | − | 45.0943i | −1.00358 | − | 1.46770i | ||||
\(945\) | −0.482216 | + | 3.35389i | −0.0156865 | + | 0.109102i | ||||
\(946\) | 24.3810 | + | 57.5511i | 0.792696 | + | 1.87115i | ||||
\(947\) | −4.82184 | − | 33.5366i | −0.156689 | − | 1.08979i | −0.904682 | − | 0.426087i | \(-0.859892\pi\) |
0.747994 | − | 0.663706i | \(-0.231017\pi\) | |||||||
\(948\) | −38.5510 | + | 35.3817i | −1.25208 | + | 1.14915i | ||||
\(949\) | −24.4033 | − | 1.39543i | −0.792165 | − | 0.0452976i | ||||
\(950\) | 2.92374 | + | 14.4292i | 0.0948587 | + | 0.468146i | ||||
\(951\) | 25.7659 | − | 21.0687i | 0.835518 | − | 0.683200i | ||||
\(952\) | 1.91740 | + | 0.942723i | 0.0621434 | + | 0.0305538i | ||||
\(953\) | 9.92779 | − | 3.54223i | 0.321593 | − | 0.114744i | −0.170319 | − | 0.985389i | \(-0.554480\pi\) |
0.491912 | + | 0.870645i | \(0.336298\pi\) | |||||||
\(954\) | 14.2458 | + | 18.4743i | 0.461224 | + | 0.598126i | ||||
\(955\) | −1.81541 | + | 3.01053i | −0.0587454 | + | 0.0974184i | ||||
\(956\) | 19.8796 | + | 22.9423i | 0.642953 | + | 0.742007i | ||||
\(957\) | 53.6294 | + | 52.0275i | 1.73359 | + | 1.68181i | ||||
\(958\) | −2.62347 | + | 3.02764i | −0.0847604 | + | 0.0978187i | ||||
\(959\) | 4.40305 | + | 13.5512i | 0.142182 | + | 0.437591i | ||||
\(960\) | 14.6070 | + | 5.21178i | 0.471440 | + | 0.168209i | ||||
\(961\) | −20.0090 | − | 20.5887i | −0.645450 | − | 0.664153i | ||||
\(962\) | 10.3633 | + | 9.51136i | 0.334127 | + | 0.306659i | ||||
\(963\) | 14.2598 | − | 20.8543i | 0.459517 | − | 0.672022i | ||||
\(964\) | −1.91715 | − | 0.445813i | −0.0617471 | − | 0.0143587i | ||||
\(965\) | −8.18644 | − | 5.94780i | −0.263531 | − | 0.191466i | ||||
\(966\) | −8.17781 | − | 0.938316i | −0.263117 | − | 0.0301898i | ||||
\(967\) | −48.9630 | −1.57454 | −0.787272 | − | 0.616606i | \(-0.788507\pi\) | ||||
−0.787272 | + | 0.616606i | \(0.788507\pi\) | |||||||
\(968\) | 5.44460 | − | 0.634423i | 0.174996 | − | 0.0203911i | ||||
\(969\) | 74.5837 | 2.39597 | ||||||||
\(970\) | 13.2708 | + | 1.52268i | 0.426100 | + | 0.0488904i | ||||
\(971\) | 21.4927 | + | 15.6154i | 0.689733 | + | 0.501120i | 0.876572 | − | 0.481270i | \(-0.159824\pi\) |
−0.186839 | + | 0.982391i | \(0.559824\pi\) | |||||||
\(972\) | −35.2867 | − | 8.20557i | −1.13182 | − | 0.263194i | ||||
\(973\) | −4.44386 | + | 6.49894i | −0.142464 | + | 0.208346i | ||||
\(974\) | −14.6784 | − | 13.4718i | −0.470328 | − | 0.431663i | ||||
\(975\) | −6.53101 | − | 6.72025i | −0.209160 | − | 0.215220i | ||||
\(976\) | −39.5195 | − | 14.1005i | −1.26499 | − | 0.451346i | ||||
\(977\) | 11.2087 | + | 34.4967i | 0.358597 | + | 1.10365i | 0.953894 | + | 0.300143i | \(0.0970344\pi\) |
−0.595297 | + | 0.803506i | \(0.702966\pi\) | |||||||
\(978\) | 16.1559 | − | 18.6449i | 0.516609 | − | 0.596199i | ||||
\(979\) | 12.3858 | − | 34.8104i | 0.395851 | − | 1.11254i | ||||
\(980\) | −6.43828 | − | 7.43018i | −0.205663 | − | 0.237348i | ||||
\(981\) | 9.95922 | − | 16.5155i | 0.317974 | − | 0.527300i | ||||
\(982\) | 40.4477 | + | 52.4535i | 1.29074 | + | 1.67386i | ||||
\(983\) | 2.45921 | − | 0.877443i | 0.0784365 | − | 0.0279861i | −0.296540 | − | 0.955021i | \(-0.595833\pi\) |
0.374976 | + | 0.927034i | \(0.377651\pi\) | |||||||
\(984\) | 9.70628 | + | 4.77226i | 0.309425 | + | 0.152134i | ||||
\(985\) | −11.0175 | + | 9.00897i | −0.351047 | + | 0.287050i | ||||
\(986\) | −11.9602 | − | 59.0260i | −0.380891 | − | 1.87977i | ||||
\(987\) | −4.49352 | − | 0.256949i | −0.143030 | − | 0.00817877i | ||||
\(988\) | 34.3773 | − | 31.5512i | 1.09369 | − | 1.00378i | ||||
\(989\) | −1.90116 | − | 13.2229i | −0.0604535 | − | 0.420463i | ||||
\(990\) | 4.45427 | − | 25.8743i | 0.141566 | − | 0.822340i | ||||
\(991\) | −2.48887 | + | 17.3105i | −0.0790616 | + | 0.549885i | 0.911339 | + | 0.411657i | \(0.135050\pi\) |
−0.990400 | + | 0.138228i | \(0.955859\pi\) | |||||||
\(992\) | −6.50018 | − | 9.50621i | −0.206381 | − | 0.301823i | ||||
\(993\) | −0.122447 | − | 0.314502i | −0.00388573 | − | 0.00998042i | ||||
\(994\) | −2.56325 | + | 3.32408i | −0.0813014 | + | 0.105434i | ||||
\(995\) | −4.35571 | + | 13.4055i | −0.138085 | + | 0.424982i | ||||
\(996\) | −1.35435 | − | 2.24593i | −0.0429141 | − | 0.0711650i | ||||
\(997\) | 16.4886 | − | 42.3507i | 0.522200 | − | 1.34126i | −0.385913 | − | 0.922535i | \(-0.626114\pi\) |
0.908113 | − | 0.418725i | \(-0.137523\pi\) | |||||||
\(998\) | −43.8345 | + | 10.1933i | −1.38756 | + | 0.322663i | ||||
\(999\) | −5.53533 | − | 2.33925i | −0.175130 | − | 0.0740106i |
(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 | 605.2.s.a.16.19 | ✓ | 880 | |
121.53 | even | 55 | inner | 605.2.s.a.416.19 | yes | 880 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.s.a.16.19 | ✓ | 880 | 1.1 | even | 1 | trivial | |
605.2.s.a.416.19 | yes | 880 | 121.53 | even | 55 | inner |