Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(11,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.k (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{7})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 5 x^{17} + 20 x^{16} - 61 x^{15} + 142 x^{14} - 195 x^{13} + 244 x^{12} + 320 x^{11} + \cdots + 49 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 121.3 | ||
Root | \(0.565778 + 2.47884i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 430.121 |
Dual form | 430.2.k.c.231.3 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.222521 | − | 0.974928i | 0.157346 | − | 0.689378i | ||||
\(3\) | 0.565778 | + | 2.47884i | 0.326652 | + | 1.43116i | 0.825468 | + | 0.564449i | \(0.190911\pi\) |
−0.498816 | + | 0.866708i | \(0.666231\pi\) | |||||||
\(4\) | −0.900969 | − | 0.433884i | −0.450484 | − | 0.216942i | ||||
\(5\) | 0.623490 | − | 0.781831i | 0.278833 | − | 0.349646i | ||||
\(6\) | 2.54259 | 1.03801 | ||||||||
\(7\) | 2.52637 | 0.954878 | 0.477439 | − | 0.878665i | \(-0.341565\pi\) | ||||
0.477439 | + | 0.878665i | \(0.341565\pi\) | |||||||
\(8\) | −0.623490 | + | 0.781831i | −0.220437 | + | 0.276419i | ||||
\(9\) | −3.12162 | + | 1.50329i | −1.04054 | + | 0.501098i | ||||
\(10\) | −0.623490 | − | 0.781831i | −0.197165 | − | 0.247237i | ||||
\(11\) | 2.46706 | − | 1.18807i | 0.743847 | − | 0.358218i | −0.0232662 | − | 0.999729i | \(-0.507407\pi\) |
0.767114 | + | 0.641511i | \(0.221692\pi\) | |||||||
\(12\) | 0.565778 | − | 2.47884i | 0.163326 | − | 0.715579i | ||||
\(13\) | −0.821979 | + | 1.03073i | −0.227976 | + | 0.285873i | −0.882642 | − | 0.470045i | \(-0.844238\pi\) |
0.654666 | + | 0.755918i | \(0.272809\pi\) | |||||||
\(14\) | 0.562170 | − | 2.46303i | 0.150246 | − | 0.658272i | ||||
\(15\) | 2.29079 | + | 1.10319i | 0.591479 | + | 0.284841i | ||||
\(16\) | 0.623490 | + | 0.781831i | 0.155872 | + | 0.195458i | ||||
\(17\) | 3.17768 | + | 3.98469i | 0.770701 | + | 0.966429i | 0.999976 | − | 0.00693273i | \(-0.00220677\pi\) |
−0.229274 | + | 0.973362i | \(0.573635\pi\) | |||||||
\(18\) | 0.770977 | + | 3.37787i | 0.181721 | + | 0.796172i | ||||
\(19\) | −2.36400 | − | 1.13844i | −0.542338 | − | 0.261176i | 0.142596 | − | 0.989781i | \(-0.454455\pi\) |
−0.684935 | + | 0.728605i | \(0.740169\pi\) | |||||||
\(20\) | −0.900969 | + | 0.433884i | −0.201463 | + | 0.0970194i | ||||
\(21\) | 1.42937 | + | 6.26246i | 0.311913 | + | 1.36658i | ||||
\(22\) | −0.609314 | − | 2.66958i | −0.129906 | − | 0.569156i | ||||
\(23\) | −1.44099 | + | 0.693944i | −0.300467 | + | 0.144697i | −0.578043 | − | 0.816006i | \(-0.696183\pi\) |
0.277576 | + | 0.960704i | \(0.410469\pi\) | |||||||
\(24\) | −2.29079 | − | 1.10319i | −0.467606 | − | 0.225187i | ||||
\(25\) | −0.222521 | − | 0.974928i | −0.0445042 | − | 0.194986i | ||||
\(26\) | 0.821979 | + | 1.03073i | 0.161203 | + | 0.202143i | ||||
\(27\) | −0.736740 | − | 0.923842i | −0.141786 | − | 0.177794i | ||||
\(28\) | −2.27618 | − | 1.09615i | −0.430158 | − | 0.207153i | ||||
\(29\) | −0.451125 | + | 1.97651i | −0.0837717 | + | 0.367028i | −0.999386 | − | 0.0350292i | \(-0.988848\pi\) |
0.915615 | + | 0.402057i | \(0.131705\pi\) | |||||||
\(30\) | 1.58528 | − | 1.98787i | 0.289430 | − | 0.362934i | ||||
\(31\) | 0.223968 | − | 0.981268i | 0.0402258 | − | 0.176241i | −0.950824 | − | 0.309731i | \(-0.899761\pi\) |
0.991050 | + | 0.133490i | \(0.0426183\pi\) | |||||||
\(32\) | 0.900969 | − | 0.433884i | 0.159270 | − | 0.0767005i | ||||
\(33\) | 4.34086 | + | 5.44326i | 0.755646 | + | 0.947550i | ||||
\(34\) | 4.59189 | − | 2.21134i | 0.787502 | − | 0.379241i | ||||
\(35\) | 1.57517 | − | 1.97519i | 0.266252 | − | 0.333869i | ||||
\(36\) | 3.46474 | 0.577457 | ||||||||
\(37\) | 4.40834 | 0.724726 | 0.362363 | − | 0.932037i | \(-0.381970\pi\) | ||||
0.362363 | + | 0.932037i | \(0.381970\pi\) | |||||||
\(38\) | −1.63594 | + | 2.05140i | −0.265384 | + | 0.332781i | ||||
\(39\) | −3.02007 | − | 1.45439i | −0.483598 | − | 0.232888i | ||||
\(40\) | 0.222521 | + | 0.974928i | 0.0351836 | + | 0.154150i | ||||
\(41\) | −0.447495 | + | 1.96060i | −0.0698870 | + | 0.306195i | −0.997776 | − | 0.0666627i | \(-0.978765\pi\) |
0.927889 | + | 0.372858i | \(0.121622\pi\) | |||||||
\(42\) | 6.42351 | 0.991169 | ||||||||
\(43\) | 6.18879 | − | 2.16769i | 0.943782 | − | 0.330569i | ||||
\(44\) | −2.73823 | −0.412804 | ||||||||
\(45\) | −0.770977 | + | 3.37787i | −0.114930 | + | 0.503543i | ||||
\(46\) | 0.355895 | + | 1.55928i | 0.0524739 | + | 0.229903i | ||||
\(47\) | −9.74566 | − | 4.69326i | −1.42155 | − | 0.684583i | −0.444145 | − | 0.895955i | \(-0.646493\pi\) |
−0.977406 | + | 0.211372i | \(0.932207\pi\) | |||||||
\(48\) | −1.58528 | + | 1.98787i | −0.228815 | + | 0.286925i | ||||
\(49\) | −0.617459 | −0.0882084 | ||||||||
\(50\) | −1.00000 | −0.141421 | ||||||||
\(51\) | −8.07953 | + | 10.1314i | −1.13136 | + | 1.41868i | ||||
\(52\) | 1.18779 | − | 0.572011i | 0.164717 | − | 0.0793237i | ||||
\(53\) | 0.437039 | + | 0.548029i | 0.0600319 | + | 0.0752776i | 0.810941 | − | 0.585128i | \(-0.198956\pi\) |
−0.750909 | + | 0.660406i | \(0.770384\pi\) | |||||||
\(54\) | −1.06462 | + | 0.512694i | −0.144876 | + | 0.0697688i | ||||
\(55\) | 0.609314 | − | 2.66958i | 0.0821599 | − | 0.359966i | ||||
\(56\) | −1.57517 | + | 1.97519i | −0.210490 | + | 0.263947i | ||||
\(57\) | 1.48451 | − | 6.50407i | 0.196628 | − | 0.861485i | ||||
\(58\) | 1.82657 | + | 0.879628i | 0.239840 | + | 0.115501i | ||||
\(59\) | −1.26826 | − | 1.59035i | −0.165114 | − | 0.207046i | 0.692390 | − | 0.721523i | \(-0.256558\pi\) |
−0.857504 | + | 0.514477i | \(0.827986\pi\) | |||||||
\(60\) | −1.58528 | − | 1.98787i | −0.204658 | − | 0.256633i | ||||
\(61\) | −3.03263 | − | 13.2868i | −0.388288 | − | 1.70120i | −0.670551 | − | 0.741863i | \(-0.733942\pi\) |
0.282263 | − | 0.959337i | \(-0.408915\pi\) | |||||||
\(62\) | −0.906828 | − | 0.436705i | −0.115167 | − | 0.0554616i | ||||
\(63\) | −7.88637 | + | 3.79788i | −0.993589 | + | 0.478487i | ||||
\(64\) | −0.222521 | − | 0.974928i | −0.0278151 | − | 0.121866i | ||||
\(65\) | 0.293361 | + | 1.28530i | 0.0363869 | + | 0.159422i | ||||
\(66\) | 6.27272 | − | 3.02078i | 0.772118 | − | 0.371832i | ||||
\(67\) | −11.4402 | − | 5.50929i | −1.39764 | − | 0.673067i | −0.424957 | − | 0.905214i | \(-0.639711\pi\) |
−0.972681 | + | 0.232147i | \(0.925425\pi\) | |||||||
\(68\) | −1.13410 | − | 4.96883i | −0.137530 | − | 0.602559i | ||||
\(69\) | −2.53546 | − | 3.17936i | −0.305233 | − | 0.382750i | ||||
\(70\) | −1.57517 | − | 1.97519i | −0.188268 | − | 0.236081i | ||||
\(71\) | −6.84259 | − | 3.29522i | −0.812066 | − | 0.391070i | −0.0187074 | − | 0.999825i | \(-0.505955\pi\) |
−0.793359 | + | 0.608755i | \(0.791669\pi\) | |||||||
\(72\) | 0.770977 | − | 3.37787i | 0.0908605 | − | 0.398086i | ||||
\(73\) | 4.21898 | − | 5.29043i | 0.493794 | − | 0.619198i | −0.471023 | − | 0.882121i | \(-0.656115\pi\) |
0.964817 | + | 0.262923i | \(0.0846864\pi\) | |||||||
\(74\) | 0.980948 | − | 4.29781i | 0.114033 | − | 0.499611i | ||||
\(75\) | 2.29079 | − | 1.10319i | 0.264518 | − | 0.127385i | ||||
\(76\) | 1.63594 | + | 2.05140i | 0.187655 | + | 0.235312i | ||||
\(77\) | 6.23271 | − | 3.00152i | 0.710283 | − | 0.342054i | ||||
\(78\) | −2.08995 | + | 2.62072i | −0.236640 | + | 0.296738i | ||||
\(79\) | −5.12074 | −0.576129 | −0.288064 | − | 0.957611i | \(-0.593012\pi\) | ||||
−0.288064 | + | 0.957611i | \(0.593012\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | −4.60746 | + | 5.77758i | −0.511941 | + | 0.641953i | ||||
\(82\) | 1.81187 | + | 0.872551i | 0.200088 | + | 0.0963571i | ||||
\(83\) | −1.67626 | − | 7.34419i | −0.183994 | − | 0.806130i | −0.979704 | − | 0.200452i | \(-0.935759\pi\) |
0.795710 | − | 0.605678i | \(-0.207098\pi\) | |||||||
\(84\) | 1.42937 | − | 6.26246i | 0.155957 | − | 0.683290i | ||||
\(85\) | 5.09661 | 0.552805 | ||||||||
\(86\) | −0.736202 | − | 6.51598i | −0.0793867 | − | 0.702636i | ||||
\(87\) | −5.15467 | −0.552639 | ||||||||
\(88\) | −0.609314 | + | 2.66958i | −0.0649531 | + | 0.284578i | ||||
\(89\) | 0.521294 | + | 2.28394i | 0.0552570 | + | 0.242097i | 0.995012 | − | 0.0997506i | \(-0.0318045\pi\) |
−0.939755 | + | 0.341848i | \(0.888947\pi\) | |||||||
\(90\) | 3.12162 | + | 1.50329i | 0.329048 | + | 0.158461i | ||||
\(91\) | −2.07662 | + | 2.60400i | −0.217689 | + | 0.272974i | ||||
\(92\) | 1.59938 | 0.166747 | ||||||||
\(93\) | 2.55912 | 0.265368 | ||||||||
\(94\) | −6.74421 | + | 8.45697i | −0.695612 | + | 0.872270i | ||||
\(95\) | −2.36400 | + | 1.13844i | −0.242541 | + | 0.116802i | ||||
\(96\) | 1.58528 | + | 1.98787i | 0.161797 | + | 0.202886i | ||||
\(97\) | 11.5677 | − | 5.57073i | 1.17453 | − | 0.565621i | 0.258214 | − | 0.966088i | \(-0.416866\pi\) |
0.916311 | + | 0.400466i | \(0.131152\pi\) | |||||||
\(98\) | −0.137397 | + | 0.601978i | −0.0138792 | + | 0.0608089i | ||||
\(99\) | −5.91521 | + | 7.41744i | −0.594501 | + | 0.745481i | ||||
\(100\) | −0.222521 | + | 0.974928i | −0.0222521 | + | 0.0974928i | ||||
\(101\) | 2.99011 | + | 1.43996i | 0.297527 | + | 0.143281i | 0.576692 | − | 0.816962i | \(-0.304343\pi\) |
−0.279165 | + | 0.960243i | \(0.590058\pi\) | |||||||
\(102\) | 8.07953 | + | 10.1314i | 0.799993 | + | 1.00316i | ||||
\(103\) | −4.24740 | − | 5.32608i | −0.418509 | − | 0.524794i | 0.527229 | − | 0.849723i | \(-0.323231\pi\) |
−0.945738 | + | 0.324929i | \(0.894660\pi\) | |||||||
\(104\) | −0.293361 | − | 1.28530i | −0.0287664 | − | 0.126034i | ||||
\(105\) | 5.78738 | + | 2.78706i | 0.564791 | + | 0.271989i | ||||
\(106\) | 0.631539 | − | 0.304133i | 0.0613405 | − | 0.0295400i | ||||
\(107\) | 3.11459 | + | 13.6459i | 0.301099 | + | 1.31920i | 0.868471 | + | 0.495739i | \(0.165103\pi\) |
−0.567372 | + | 0.823461i | \(0.692040\pi\) | |||||||
\(108\) | 0.262939 | + | 1.15201i | 0.0253014 | + | 0.110852i | ||||
\(109\) | −6.17078 | + | 2.97169i | −0.591053 | + | 0.284636i | −0.705405 | − | 0.708804i | \(-0.749235\pi\) |
0.114352 | + | 0.993440i | \(0.463521\pi\) | |||||||
\(110\) | −2.46706 | − | 1.18807i | −0.235225 | − | 0.113278i | ||||
\(111\) | 2.49414 | + | 10.9276i | 0.236734 | + | 1.03720i | ||||
\(112\) | 1.57517 | + | 1.97519i | 0.148839 | + | 0.186638i | ||||
\(113\) | −7.63142 | − | 9.56950i | −0.717903 | − | 0.900222i | 0.280314 | − | 0.959908i | \(-0.409561\pi\) |
−0.998217 | + | 0.0596860i | \(0.980990\pi\) | |||||||
\(114\) | −6.01066 | − | 2.89458i | −0.562950 | − | 0.271103i | ||||
\(115\) | −0.355895 | + | 1.55928i | −0.0331874 | + | 0.145403i | ||||
\(116\) | 1.26402 | − | 1.58503i | 0.117362 | − | 0.147167i | ||||
\(117\) | 1.01642 | − | 4.45322i | 0.0939680 | − | 0.411701i | ||||
\(118\) | −1.83269 | + | 0.882579i | −0.168713 | + | 0.0812480i | ||||
\(119\) | 8.02800 | + | 10.0668i | 0.735926 | + | 0.922822i | ||||
\(120\) | −2.29079 | + | 1.10319i | −0.209120 | + | 0.100707i | ||||
\(121\) | −2.18351 | + | 2.73804i | −0.198501 | + | 0.248912i | ||||
\(122\) | −13.6285 | −1.23387 | ||||||||
\(123\) | −5.11320 | −0.461042 | ||||||||
\(124\) | −0.627544 | + | 0.786916i | −0.0563552 | + | 0.0706671i | ||||
\(125\) | −0.900969 | − | 0.433884i | −0.0805851 | − | 0.0388077i | ||||
\(126\) | 1.94777 | + | 8.53375i | 0.173521 | + | 0.760247i | ||||
\(127\) | 4.64233 | − | 20.3394i | 0.411940 | − | 1.80483i | −0.162993 | − | 0.986627i | \(-0.552115\pi\) |
0.574933 | − | 0.818200i | \(-0.305028\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 8.87483 | + | 14.1146i | 0.781385 | + | 1.24272i | ||||
\(130\) | 1.31835 | 0.115627 | ||||||||
\(131\) | −3.90498 | + | 17.1088i | −0.341180 | + | 1.49481i | 0.455407 | + | 0.890283i | \(0.349494\pi\) |
−0.796587 | + | 0.604524i | \(0.793364\pi\) | |||||||
\(132\) | −1.54923 | − | 6.78763i | −0.134843 | − | 0.590788i | ||||
\(133\) | −5.97233 | − | 2.87612i | −0.517867 | − | 0.249391i | ||||
\(134\) | −7.91683 | + | 9.92740i | −0.683910 | + | 0.857596i | ||||
\(135\) | −1.18164 | −0.101699 | ||||||||
\(136\) | −5.09661 | −0.437031 | ||||||||
\(137\) | −0.499433 | + | 0.626270i | −0.0426695 | + | 0.0535058i | −0.802708 | − | 0.596372i | \(-0.796608\pi\) |
0.760039 | + | 0.649878i | \(0.225180\pi\) | |||||||
\(138\) | −3.66384 | + | 1.76441i | −0.311887 | + | 0.150197i | ||||
\(139\) | 11.5807 | + | 14.5217i | 0.982260 | + | 1.23172i | 0.972773 | + | 0.231760i | \(0.0744485\pi\) |
0.00948713 | + | 0.999955i | \(0.496980\pi\) | |||||||
\(140\) | −2.27618 | + | 1.09615i | −0.192372 | + | 0.0926416i | ||||
\(141\) | 6.11995 | − | 26.8133i | 0.515393 | − | 2.25808i | ||||
\(142\) | −4.73522 | + | 5.93778i | −0.397371 | + | 0.498287i | ||||
\(143\) | −0.803291 | + | 3.51945i | −0.0671745 | + | 0.294311i | ||||
\(144\) | −3.12162 | − | 1.50329i | −0.260135 | − | 0.125274i | ||||
\(145\) | 1.26402 | + | 1.58503i | 0.104971 | + | 0.131630i | ||||
\(146\) | −4.21898 | − | 5.29043i | −0.349165 | − | 0.437839i | ||||
\(147\) | −0.349345 | − | 1.53058i | −0.0288135 | − | 0.126240i | ||||
\(148\) | −3.97178 | − | 1.91271i | −0.326478 | − | 0.157224i | ||||
\(149\) | −20.5475 | + | 9.89518i | −1.68332 | + | 0.810645i | −0.686841 | + | 0.726808i | \(0.741003\pi\) |
−0.996479 | + | 0.0838370i | \(0.973282\pi\) | |||||||
\(150\) | −0.565778 | − | 2.47884i | −0.0461956 | − | 0.202396i | ||||
\(151\) | −4.09120 | − | 17.9247i | −0.332937 | − | 1.45869i | −0.813414 | − | 0.581686i | \(-0.802393\pi\) |
0.480477 | − | 0.877008i | \(-0.340464\pi\) | |||||||
\(152\) | 2.36400 | − | 1.13844i | 0.191746 | − | 0.0923398i | ||||
\(153\) | −15.9097 | − | 7.66170i | −1.28622 | − | 0.619412i | ||||
\(154\) | −1.53935 | − | 6.74434i | −0.124045 | − | 0.543475i | ||||
\(155\) | −0.627544 | − | 0.786916i | −0.0504056 | − | 0.0632066i | ||||
\(156\) | 2.08995 | + | 2.62072i | 0.167330 | + | 0.209825i | ||||
\(157\) | 9.63777 | + | 4.64130i | 0.769178 | + | 0.370416i | 0.776957 | − | 0.629553i | \(-0.216762\pi\) |
−0.00777963 | + | 0.999970i | \(0.502476\pi\) | |||||||
\(158\) | −1.13947 | + | 4.99236i | −0.0906516 | + | 0.397171i | ||||
\(159\) | −1.11121 | + | 1.39341i | −0.0881245 | + | 0.110505i | ||||
\(160\) | 0.222521 | − | 0.974928i | 0.0175918 | − | 0.0770748i | ||||
\(161\) | −3.64047 | + | 1.75316i | −0.286909 | + | 0.138168i | ||||
\(162\) | 4.60746 | + | 5.77758i | 0.361997 | + | 0.453929i | ||||
\(163\) | −11.3883 | + | 5.48432i | −0.892001 | + | 0.429565i | −0.822993 | − | 0.568051i | \(-0.807698\pi\) |
−0.0690075 | + | 0.997616i | \(0.521983\pi\) | |||||||
\(164\) | 1.25385 | − | 1.57228i | 0.0979095 | − | 0.122775i | ||||
\(165\) | 6.96219 | 0.542006 | ||||||||
\(166\) | −7.53306 | −0.584679 | ||||||||
\(167\) | 2.42110 | − | 3.03597i | 0.187350 | − | 0.234930i | −0.679282 | − | 0.733878i | \(-0.737709\pi\) |
0.866632 | + | 0.498948i | \(0.166280\pi\) | |||||||
\(168\) | −5.78738 | − | 2.78706i | −0.446506 | − | 0.215026i | ||||
\(169\) | 2.50602 | + | 10.9796i | 0.192771 | + | 0.844584i | ||||
\(170\) | 1.13410 | − | 4.96883i | 0.0869817 | − | 0.381092i | ||||
\(171\) | 9.09092 | 0.695200 | ||||||||
\(172\) | −6.51643 | − | 0.732198i | −0.496873 | − | 0.0558296i | ||||
\(173\) | 14.0116 | 1.06529 | 0.532643 | − | 0.846340i | \(-0.321199\pi\) | ||||
0.532643 | + | 0.846340i | \(0.321199\pi\) | |||||||
\(174\) | −1.14702 | + | 5.02543i | −0.0869556 | + | 0.380977i | ||||
\(175\) | −0.562170 | − | 2.46303i | −0.0424961 | − | 0.186187i | ||||
\(176\) | 2.46706 | + | 1.18807i | 0.185962 | + | 0.0895545i | ||||
\(177\) | 3.22467 | − | 4.04361i | 0.242381 | − | 0.303936i | ||||
\(178\) | 2.34267 | 0.175591 | ||||||||
\(179\) | 9.02555 | 0.674602 | 0.337301 | − | 0.941397i | \(-0.390486\pi\) | ||||
0.337301 | + | 0.941397i | \(0.390486\pi\) | |||||||
\(180\) | 2.16023 | − | 2.70884i | 0.161014 | − | 0.201905i | ||||
\(181\) | 14.7964 | − | 7.12557i | 1.09981 | − | 0.529639i | 0.206209 | − | 0.978508i | \(-0.433887\pi\) |
0.893598 | + | 0.448869i | \(0.148173\pi\) | |||||||
\(182\) | 2.07662 | + | 2.60400i | 0.153929 | + | 0.193021i | ||||
\(183\) | 31.2200 | − | 15.0348i | 2.30785 | − | 1.11140i | ||||
\(184\) | 0.355895 | − | 1.55928i | 0.0262369 | − | 0.114952i | ||||
\(185\) | 2.74855 | − | 3.44658i | 0.202078 | − | 0.253397i | ||||
\(186\) | 0.569458 | − | 2.49496i | 0.0417547 | − | 0.182939i | ||||
\(187\) | 12.5737 | + | 6.05515i | 0.919477 | + | 0.442797i | ||||
\(188\) | 6.74421 | + | 8.45697i | 0.491872 | + | 0.616788i | ||||
\(189\) | −1.86128 | − | 2.33397i | −0.135388 | − | 0.169771i | ||||
\(190\) | 0.583859 | + | 2.55805i | 0.0423576 | + | 0.185581i | ||||
\(191\) | −16.9791 | − | 8.17672i | −1.22857 | − | 0.591647i | −0.296882 | − | 0.954914i | \(-0.595947\pi\) |
−0.931685 | + | 0.363267i | \(0.881661\pi\) | |||||||
\(192\) | 2.29079 | − | 1.10319i | 0.165324 | − | 0.0796156i | ||||
\(193\) | −0.00652056 | − | 0.0285684i | −0.000469360 | − | 0.00205640i | 0.974693 | − | 0.223549i | \(-0.0717643\pi\) |
−0.975162 | + | 0.221493i | \(0.928907\pi\) | |||||||
\(194\) | −2.85699 | − | 12.5173i | −0.205120 | − | 0.898690i | ||||
\(195\) | −3.02007 | + | 1.45439i | −0.216272 | + | 0.104151i | ||||
\(196\) | 0.556311 | + | 0.267905i | 0.0397365 | + | 0.0191361i | ||||
\(197\) | 3.61807 | + | 15.8518i | 0.257777 | + | 1.12939i | 0.923622 | + | 0.383304i | \(0.125214\pi\) |
−0.665846 | + | 0.746089i | \(0.731929\pi\) | |||||||
\(198\) | 5.91521 | + | 7.41744i | 0.420376 | + | 0.527135i | ||||
\(199\) | 15.8407 | + | 19.8636i | 1.12292 | + | 1.40809i | 0.901428 | + | 0.432929i | \(0.142520\pi\) |
0.221488 | + | 0.975163i | \(0.428909\pi\) | |||||||
\(200\) | 0.900969 | + | 0.433884i | 0.0637081 | + | 0.0306802i | ||||
\(201\) | 7.18404 | − | 31.4753i | 0.506723 | − | 2.22010i | ||||
\(202\) | 2.06922 | − | 2.59472i | 0.145590 | − | 0.182564i | ||||
\(203\) | −1.13971 | + | 4.99338i | −0.0799918 | + | 0.350467i | ||||
\(204\) | 11.6753 | − | 5.62251i | 0.817432 | − | 0.393654i | ||||
\(205\) | 1.25385 | + | 1.57228i | 0.0875729 | + | 0.109813i | ||||
\(206\) | −6.13768 | + | 2.95575i | −0.427632 | + | 0.205937i | ||||
\(207\) | 3.45502 | − | 4.33246i | 0.240141 | − | 0.301127i | ||||
\(208\) | −1.31835 | −0.0914113 | ||||||||
\(209\) | −7.18468 | −0.496975 | ||||||||
\(210\) | 4.00499 | − | 5.02210i | 0.276371 | − | 0.346558i | ||||
\(211\) | 3.37798 | + | 1.62675i | 0.232550 | + | 0.111990i | 0.546530 | − | 0.837439i | \(-0.315948\pi\) |
−0.313980 | + | 0.949429i | \(0.601663\pi\) | |||||||
\(212\) | −0.155977 | − | 0.683381i | −0.0107126 | − | 0.0469348i | ||||
\(213\) | 4.29692 | − | 18.8260i | 0.294420 | − | 1.28994i | ||||
\(214\) | 13.9969 | 0.956805 | ||||||||
\(215\) | 2.16388 | − | 6.19012i | 0.147576 | − | 0.422163i | ||||
\(216\) | 1.18164 | 0.0804003 | ||||||||
\(217\) | 0.565826 | − | 2.47905i | 0.0384108 | − | 0.168289i | ||||
\(218\) | 1.52406 | + | 6.67733i | 0.103222 | + | 0.452246i | ||||
\(219\) | 15.5011 | + | 7.46495i | 1.04747 | + | 0.504435i | ||||
\(220\) | −1.70726 | + | 2.14084i | −0.115103 | + | 0.144335i | ||||
\(221\) | −6.71912 | −0.451977 | ||||||||
\(222\) | 11.2086 | 0.752270 | ||||||||
\(223\) | 14.2888 | − | 17.9176i | 0.956848 | − | 1.19985i | −0.0229254 | − | 0.999737i | \(-0.507298\pi\) |
0.979773 | − | 0.200112i | \(-0.0641305\pi\) | |||||||
\(224\) | 2.27618 | − | 1.09615i | 0.152084 | − | 0.0732396i | ||||
\(225\) | 2.16023 | + | 2.70884i | 0.144015 | + | 0.180589i | ||||
\(226\) | −11.0277 | + | 5.31067i | −0.733553 | + | 0.353260i | ||||
\(227\) | 1.40766 | − | 6.16734i | 0.0934294 | − | 0.409341i | −0.906487 | − | 0.422233i | \(-0.861247\pi\) |
0.999917 | + | 0.0128917i | \(0.00410366\pi\) | |||||||
\(228\) | −4.15951 | + | 5.21586i | −0.275470 | + | 0.345429i | ||||
\(229\) | 1.64938 | − | 7.22642i | 0.108994 | − | 0.477535i | −0.890741 | − | 0.454512i | \(-0.849814\pi\) |
0.999735 | − | 0.0230232i | \(-0.00732915\pi\) | |||||||
\(230\) | 1.44099 | + | 0.693944i | 0.0950160 | + | 0.0457573i | ||||
\(231\) | 10.9666 | + | 13.7517i | 0.721549 | + | 0.904794i | ||||
\(232\) | −1.26402 | − | 1.58503i | −0.0829872 | − | 0.104063i | ||||
\(233\) | 0.0927117 | + | 0.406196i | 0.00607374 | + | 0.0266108i | 0.977874 | − | 0.209195i | \(-0.0670843\pi\) |
−0.971800 | + | 0.235806i | \(0.924227\pi\) | |||||||
\(234\) | −4.11540 | − | 1.98187i | −0.269032 | − | 0.129559i | ||||
\(235\) | −9.74566 | + | 4.69326i | −0.635737 | + | 0.306155i | ||||
\(236\) | 0.452638 | + | 1.98314i | 0.0294642 | + | 0.129091i | ||||
\(237\) | −2.89721 | − | 12.6935i | −0.188194 | − | 0.824531i | ||||
\(238\) | 11.6008 | − | 5.58665i | 0.751968 | − | 0.362129i | ||||
\(239\) | −20.2817 | − | 9.76715i | −1.31191 | − | 0.631784i | −0.358522 | − | 0.933521i | \(-0.616719\pi\) |
−0.953391 | + | 0.301737i | \(0.902434\pi\) | |||||||
\(240\) | 0.565778 | + | 2.47884i | 0.0365208 | + | 0.160008i | ||||
\(241\) | −12.6009 | − | 15.8010i | −0.811696 | − | 1.01783i | −0.999366 | − | 0.0356023i | \(-0.988665\pi\) |
0.187670 | − | 0.982232i | \(-0.439906\pi\) | |||||||
\(242\) | 2.18351 | + | 2.73804i | 0.140361 | + | 0.176008i | ||||
\(243\) | −20.1223 | − | 9.69041i | −1.29085 | − | 0.621640i | ||||
\(244\) | −3.03263 | + | 13.2868i | −0.194144 | + | 0.850600i | ||||
\(245\) | −0.384979 | + | 0.482749i | −0.0245954 | + | 0.0308417i | ||||
\(246\) | −1.13779 | + | 4.98500i | −0.0725431 | + | 0.317832i | ||||
\(247\) | 3.11658 | − | 1.50087i | 0.198303 | − | 0.0954978i | ||||
\(248\) | 0.627544 | + | 0.786916i | 0.0398491 | + | 0.0499692i | ||||
\(249\) | 17.2567 | − | 8.31037i | 1.09360 | − | 0.526648i | ||||
\(250\) | −0.623490 | + | 0.781831i | −0.0394330 | + | 0.0494474i | ||||
\(251\) | −4.53203 | −0.286059 | −0.143030 | − | 0.989718i | \(-0.545684\pi\) | ||||
−0.143030 | + | 0.989718i | \(0.545684\pi\) | |||||||
\(252\) | 8.75321 | 0.551400 | ||||||||
\(253\) | −2.73055 | + | 3.42401i | −0.171668 | + | 0.215265i | ||||
\(254\) | −18.7964 | − | 9.05187i | −1.17939 | − | 0.567965i | ||||
\(255\) | 2.88355 | + | 12.6337i | 0.180575 | + | 0.791151i | ||||
\(256\) | −0.222521 | + | 0.974928i | −0.0139076 | + | 0.0609330i | ||||
\(257\) | −7.50312 | −0.468032 | −0.234016 | − | 0.972233i | \(-0.575187\pi\) | ||||
−0.234016 | + | 0.972233i | \(0.575187\pi\) | |||||||
\(258\) | 15.7355 | − | 5.51153i | 0.979651 | − | 0.343133i | ||||
\(259\) | 11.1371 | 0.692025 | ||||||||
\(260\) | 0.293361 | − | 1.28530i | 0.0181935 | − | 0.0797108i | ||||
\(261\) | −1.56303 | − | 6.84808i | −0.0967491 | − | 0.423885i | ||||
\(262\) | 15.8110 | + | 7.61415i | 0.976804 | + | 0.470404i | ||||
\(263\) | −16.6242 | + | 20.8461i | −1.02509 | + | 1.28543i | −0.0673742 | + | 0.997728i | \(0.521462\pi\) |
−0.957720 | + | 0.287700i | \(0.907109\pi\) | |||||||
\(264\) | −6.96219 | −0.428493 | ||||||||
\(265\) | 0.700956 | 0.0430594 | ||||||||
\(266\) | −4.13298 | + | 5.18259i | −0.253409 | + | 0.317765i | ||||
\(267\) | −5.36657 | + | 2.58440i | −0.328429 | + | 0.158163i | ||||
\(268\) | 7.91683 | + | 9.92740i | 0.483598 | + | 0.606412i | ||||
\(269\) | 9.41017 | − | 4.53170i | 0.573748 | − | 0.276303i | −0.124428 | − | 0.992229i | \(-0.539710\pi\) |
0.698176 | + | 0.715926i | \(0.253995\pi\) | |||||||
\(270\) | −0.262939 | + | 1.15201i | −0.0160020 | + | 0.0701093i | ||||
\(271\) | 5.81393 | − | 7.29044i | 0.353171 | − | 0.442862i | −0.573234 | − | 0.819392i | \(-0.694311\pi\) |
0.926405 | + | 0.376530i | \(0.122883\pi\) | |||||||
\(272\) | −1.13410 | + | 4.96883i | −0.0687650 | + | 0.301279i | ||||
\(273\) | −7.62981 | − | 3.67432i | −0.461777 | − | 0.222380i | ||||
\(274\) | 0.499433 | + | 0.626270i | 0.0301719 | + | 0.0378343i | ||||
\(275\) | −1.70726 | − | 2.14084i | −0.102952 | − | 0.129097i | ||||
\(276\) | 0.904893 | + | 3.96460i | 0.0544682 | + | 0.238641i | ||||
\(277\) | 21.7315 | + | 10.4654i | 1.30572 | + | 0.628802i | 0.951871 | − | 0.306499i | \(-0.0991577\pi\) |
0.353851 | + | 0.935302i | \(0.384872\pi\) | |||||||
\(278\) | 16.7346 | − | 8.05894i | 1.00367 | − | 0.483343i | ||||
\(279\) | 0.775991 | + | 3.39984i | 0.0464574 | + | 0.203543i | ||||
\(280\) | 0.562170 | + | 2.46303i | 0.0335961 | + | 0.147194i | ||||
\(281\) | −1.20661 | + | 0.581072i | −0.0719802 | + | 0.0346638i | −0.469528 | − | 0.882918i | \(-0.655576\pi\) |
0.397547 | + | 0.917582i | \(0.369861\pi\) | |||||||
\(282\) | −24.7792 | − | 11.9330i | −1.47558 | − | 0.710601i | ||||
\(283\) | 3.44996 | + | 15.1152i | 0.205079 | + | 0.898508i | 0.967788 | + | 0.251767i | \(0.0810115\pi\) |
−0.762709 | + | 0.646741i | \(0.776131\pi\) | |||||||
\(284\) | 4.73522 | + | 5.93778i | 0.280984 | + | 0.352342i | ||||
\(285\) | −4.15951 | − | 5.21586i | −0.246388 | − | 0.308961i | ||||
\(286\) | 3.25246 | + | 1.56630i | 0.192322 | + | 0.0926173i | ||||
\(287\) | −1.13054 | + | 4.95321i | −0.0667335 | + | 0.292379i | ||||
\(288\) | −2.16023 | + | 2.70884i | −0.127293 | + | 0.159620i | ||||
\(289\) | −1.99722 | + | 8.75039i | −0.117483 | + | 0.514729i | ||||
\(290\) | 1.82657 | − | 0.879628i | 0.107260 | − | 0.0516535i | ||||
\(291\) | 20.3537 | + | 25.5227i | 1.19315 | + | 1.49617i | ||||
\(292\) | −6.09660 | + | 2.93597i | −0.356777 | + | 0.171815i | ||||
\(293\) | 0.678663 | − | 0.851016i | 0.0396479 | − | 0.0497169i | −0.761612 | − | 0.648033i | \(-0.775592\pi\) |
0.801260 | + | 0.598316i | \(0.204163\pi\) | |||||||
\(294\) | −1.56994 | −0.0915608 | ||||||||
\(295\) | −2.03414 | −0.118432 | ||||||||
\(296\) | −2.74855 | + | 3.44658i | −0.159756 | + | 0.200328i | ||||
\(297\) | −2.91518 | − | 1.40388i | −0.169156 | − | 0.0814611i | ||||
\(298\) | 5.07483 | + | 22.2343i | 0.293977 | + | 1.28800i | ||||
\(299\) | 0.469195 | − | 2.05568i | 0.0271342 | − | 0.118883i | ||||
\(300\) | −2.54259 | −0.146796 | ||||||||
\(301\) | 15.6352 | − | 5.47638i | 0.901196 | − | 0.315653i | ||||
\(302\) | −18.3857 | −1.05798 | ||||||||
\(303\) | −1.87769 | + | 8.22669i | −0.107870 | + | 0.472611i | ||||
\(304\) | −0.583859 | − | 2.55805i | −0.0334866 | − | 0.146714i | ||||
\(305\) | −12.2789 | − | 5.91318i | −0.703085 | − | 0.338588i | ||||
\(306\) | −11.0098 | + | 13.8059i | −0.629391 | + | 0.789231i | ||||
\(307\) | −29.8024 | −1.70092 | −0.850458 | − | 0.526044i | \(-0.823675\pi\) | ||||
−0.850458 | + | 0.526044i | \(0.823675\pi\) | |||||||
\(308\) | −6.91779 | −0.394178 | ||||||||
\(309\) | 10.7994 | − | 13.5420i | 0.614356 | − | 0.770378i | ||||
\(310\) | −0.906828 | + | 0.436705i | −0.0515044 | + | 0.0248032i | ||||
\(311\) | −2.75854 | − | 3.45910i | −0.156422 | − | 0.196147i | 0.697445 | − | 0.716639i | \(-0.254320\pi\) |
−0.853867 | + | 0.520491i | \(0.825749\pi\) | |||||||
\(312\) | 3.02007 | − | 1.45439i | 0.170978 | − | 0.0823385i | ||||
\(313\) | −6.29536 | + | 27.5818i | −0.355835 | + | 1.55901i | 0.407619 | + | 0.913152i | \(0.366359\pi\) |
−0.763454 | + | 0.645862i | \(0.776498\pi\) | |||||||
\(314\) | 6.66954 | − | 8.36334i | 0.376384 | − | 0.471971i | ||||
\(315\) | −1.94777 | + | 8.53375i | −0.109745 | + | 0.480822i | ||||
\(316\) | 4.61363 | + | 2.22181i | 0.259537 | + | 0.124986i | ||||
\(317\) | 16.5136 | + | 20.7074i | 0.927495 | + | 1.16304i | 0.986331 | + | 0.164774i | \(0.0526894\pi\) |
−0.0588368 | + | 0.998268i | \(0.518739\pi\) | |||||||
\(318\) | 1.11121 | + | 1.39341i | 0.0623135 | + | 0.0781386i | ||||
\(319\) | 1.23528 | + | 5.41213i | 0.0691626 | + | 0.303021i | ||||
\(320\) | −0.900969 | − | 0.433884i | −0.0503657 | − | 0.0242548i | ||||
\(321\) | −32.0638 | + | 15.4411i | −1.78963 | + | 0.861840i | ||||
\(322\) | 0.899122 | + | 3.93931i | 0.0501061 | + | 0.219529i | ||||
\(323\) | −2.97570 | − | 13.0374i | −0.165572 | − | 0.725420i | ||||
\(324\) | 6.65798 | − | 3.20631i | 0.369888 | − | 0.178129i | ||||
\(325\) | 1.18779 | + | 0.572011i | 0.0658870 | + | 0.0317295i | ||||
\(326\) | 2.81268 | + | 12.3231i | 0.155780 | + | 0.682516i | ||||
\(327\) | −10.8576 | − | 13.6150i | −0.600428 | − | 0.752913i | ||||
\(328\) | −1.25385 | − | 1.57228i | −0.0692325 | − | 0.0868148i | ||||
\(329\) | −24.6211 | − | 11.8569i | −1.35741 | − | 0.653693i | ||||
\(330\) | 1.54923 | − | 6.78763i | 0.0852825 | − | 0.373647i | ||||
\(331\) | −7.44431 | + | 9.33487i | −0.409176 | + | 0.513091i | −0.943131 | − | 0.332422i | \(-0.892134\pi\) |
0.533954 | + | 0.845513i | \(0.320705\pi\) | |||||||
\(332\) | −1.67626 | + | 7.34419i | −0.0919970 | + | 0.403065i | ||||
\(333\) | −13.7612 | + | 6.62703i | −0.754107 | + | 0.363159i | ||||
\(334\) | −2.42110 | − | 3.03597i | −0.132477 | − | 0.166121i | ||||
\(335\) | −11.4402 | + | 5.50929i | −0.625042 | + | 0.301005i | ||||
\(336\) | −4.00499 | + | 5.02210i | −0.218490 | + | 0.273978i | ||||
\(337\) | 23.4681 | 1.27839 | 0.639194 | − | 0.769046i | \(-0.279268\pi\) | ||||
0.639194 | + | 0.769046i | \(0.279268\pi\) | |||||||
\(338\) | 11.2619 | 0.612569 | ||||||||
\(339\) | 19.4035 | − | 24.3313i | 1.05386 | − | 1.32149i | ||||
\(340\) | −4.59189 | − | 2.21134i | −0.249030 | − | 0.119927i | ||||
\(341\) | −0.613277 | − | 2.68694i | −0.0332108 | − | 0.145506i | ||||
\(342\) | 2.02292 | − | 8.86299i | 0.109387 | − | 0.479256i | ||||
\(343\) | −19.2445 | −1.03911 | ||||||||
\(344\) | −2.16388 | + | 6.19012i | −0.116669 | + | 0.333749i | ||||
\(345\) | −4.06655 | −0.218936 | ||||||||
\(346\) | 3.11788 | − | 13.6603i | 0.167618 | − | 0.734384i | ||||
\(347\) | 7.55321 | + | 33.0928i | 0.405478 | + | 1.77651i | 0.604590 | + | 0.796537i | \(0.293337\pi\) |
−0.199112 | + | 0.979977i | \(0.563806\pi\) | |||||||
\(348\) | 4.64420 | + | 2.23653i | 0.248955 | + | 0.119891i | ||||
\(349\) | 10.5655 | − | 13.2487i | 0.565558 | − | 0.709187i | −0.414016 | − | 0.910269i | \(-0.635874\pi\) |
0.979574 | + | 0.201082i | \(0.0644458\pi\) | |||||||
\(350\) | −2.52637 | −0.135040 | ||||||||
\(351\) | 1.55782 | 0.0831501 | ||||||||
\(352\) | 1.70726 | − | 2.14084i | 0.0909973 | − | 0.114107i | ||||
\(353\) | 12.1606 | − | 5.85623i | 0.647243 | − | 0.311696i | −0.0813064 | − | 0.996689i | \(-0.525909\pi\) |
0.728549 | + | 0.684993i | \(0.240195\pi\) | |||||||
\(354\) | −3.22467 | − | 4.04361i | −0.171389 | − | 0.214915i | ||||
\(355\) | −6.84259 | + | 3.29522i | −0.363167 | + | 0.174892i | ||||
\(356\) | 0.521294 | − | 2.28394i | 0.0276285 | − | 0.121048i | ||||
\(357\) | −20.4119 | + | 25.5957i | −1.08031 | + | 1.35467i | ||||
\(358\) | 2.00837 | − | 8.79926i | 0.106146 | − | 0.465056i | ||||
\(359\) | −24.2118 | − | 11.6598i | −1.27785 | − | 0.615381i | −0.333014 | − | 0.942922i | \(-0.608066\pi\) |
−0.944837 | + | 0.327541i | \(0.893780\pi\) | |||||||
\(360\) | −2.16023 | − | 2.70884i | −0.113854 | − | 0.142769i | ||||
\(361\) | −7.55387 | − | 9.47225i | −0.397572 | − | 0.498540i | ||||
\(362\) | −3.65441 | − | 16.0110i | −0.192071 | − | 0.841520i | ||||
\(363\) | −8.02253 | − | 3.86345i | −0.421074 | − | 0.202778i | ||||
\(364\) | 3.00081 | − | 1.44511i | 0.157285 | − | 0.0757445i | ||||
\(365\) | −1.50574 | − | 6.59706i | −0.0788139 | − | 0.345306i | ||||
\(366\) | −7.71071 | − | 33.7828i | −0.403045 | − | 1.76586i | ||||
\(367\) | −17.5361 | + | 8.44494i | −0.915377 | + | 0.440822i | −0.831418 | − | 0.555647i | \(-0.812471\pi\) |
−0.0839585 | + | 0.996469i | \(0.526756\pi\) | |||||||
\(368\) | −1.44099 | − | 0.693944i | −0.0751168 | − | 0.0361743i | ||||
\(369\) | −1.55045 | − | 6.79298i | −0.0807134 | − | 0.353628i | ||||
\(370\) | −2.74855 | − | 3.44658i | −0.142891 | − | 0.179179i | ||||
\(371\) | 1.10412 | + | 1.38452i | 0.0573231 | + | 0.0718809i | ||||
\(372\) | −2.30569 | − | 1.11036i | −0.119544 | − | 0.0575695i | ||||
\(373\) | −2.11947 | + | 9.28599i | −0.109742 | + | 0.480810i | 0.889952 | + | 0.456055i | \(0.150738\pi\) |
−0.999694 | + | 0.0247556i | \(0.992119\pi\) | |||||||
\(374\) | 8.70124 | − | 10.9110i | 0.449930 | − | 0.564195i | ||||
\(375\) | 0.565778 | − | 2.47884i | 0.0292167 | − | 0.128007i | ||||
\(376\) | 9.74566 | − | 4.69326i | 0.502594 | − | 0.242037i | ||||
\(377\) | −1.66643 | − | 2.08963i | −0.0858254 | − | 0.107622i | ||||
\(378\) | −2.68962 | + | 1.29525i | −0.138339 | + | 0.0666207i | ||||
\(379\) | 8.97254 | − | 11.2512i | 0.460889 | − | 0.577936i | −0.496025 | − | 0.868308i | \(-0.665208\pi\) |
0.956914 | + | 0.290372i | \(0.0937791\pi\) | |||||||
\(380\) | 2.62384 | 0.134600 | ||||||||
\(381\) | 53.0445 | 2.71755 | ||||||||
\(382\) | −11.7499 | + | 14.7339i | −0.601179 | + | 0.753854i | ||||
\(383\) | 23.9545 | + | 11.5359i | 1.22402 | + | 0.589455i | 0.930427 | − | 0.366477i | \(-0.119436\pi\) |
0.293588 | + | 0.955932i | \(0.405151\pi\) | |||||||
\(384\) | −0.565778 | − | 2.47884i | −0.0288723 | − | 0.126498i | ||||
\(385\) | 1.53935 | − | 6.74434i | 0.0784527 | − | 0.343724i | ||||
\(386\) | −0.0293031 | −0.00149149 | ||||||||
\(387\) | −16.0604 | + | 16.0703i | −0.816396 | + | 0.816898i | ||||
\(388\) | −12.8392 | −0.651812 | ||||||||
\(389\) | −6.62345 | + | 29.0192i | −0.335822 | + | 1.47133i | 0.471838 | + | 0.881686i | \(0.343591\pi\) |
−0.807660 | + | 0.589649i | \(0.799266\pi\) | |||||||
\(390\) | 0.745895 | + | 3.26798i | 0.0377699 | + | 0.165481i | ||||
\(391\) | −7.34416 | − | 3.53676i | −0.371410 | − | 0.178862i | ||||
\(392\) | 0.384979 | − | 0.482749i | 0.0194444 | − | 0.0243825i | ||||
\(393\) | −44.6194 | −2.25075 | ||||||||
\(394\) | 16.2594 | 0.819139 | ||||||||
\(395\) | −3.19273 | + | 4.00356i | −0.160644 | + | 0.201441i | ||||
\(396\) | 8.54773 | − | 4.11637i | 0.429540 | − | 0.206855i | ||||
\(397\) | 11.8635 | + | 14.8764i | 0.595414 | + | 0.746626i | 0.984655 | − | 0.174510i | \(-0.0558341\pi\) |
−0.389241 | + | 0.921136i | \(0.627263\pi\) | |||||||
\(398\) | 22.8904 | − | 11.0235i | 1.14739 | − | 0.552556i | ||||
\(399\) | 3.75042 | − | 16.4317i | 0.187756 | − | 0.822613i | ||||
\(400\) | 0.623490 | − | 0.781831i | 0.0311745 | − | 0.0390916i | ||||
\(401\) | 0.210740 | − | 0.923314i | 0.0105239 | − | 0.0461081i | −0.969393 | − | 0.245513i | \(-0.921044\pi\) |
0.979917 | + | 0.199405i | \(0.0639008\pi\) | |||||||
\(402\) | −29.0876 | − | 14.0078i | −1.45076 | − | 0.698647i | ||||
\(403\) | 0.827324 | + | 1.03743i | 0.0412120 | + | 0.0516782i | ||||
\(404\) | −2.06922 | − | 2.59472i | −0.102948 | − | 0.129092i | ||||
\(405\) | 1.64439 | + | 7.20452i | 0.0817102 | + | 0.357996i | ||||
\(406\) | 4.61458 | + | 2.22226i | 0.229018 | + | 0.110289i | ||||
\(407\) | 10.8756 | − | 5.23744i | 0.539086 | − | 0.259610i | ||||
\(408\) | −2.88355 | − | 12.6337i | −0.142757 | − | 0.625460i | ||||
\(409\) | −5.94092 | − | 26.0289i | −0.293760 | − | 1.28705i | −0.879248 | − | 0.476365i | \(-0.841954\pi\) |
0.585488 | − | 0.810681i | \(-0.300903\pi\) | |||||||
\(410\) | 1.81187 | − | 0.872551i | 0.0894819 | − | 0.0430922i | ||||
\(411\) | −1.83499 | − | 0.883684i | −0.0905134 | − | 0.0435889i | ||||
\(412\) | 1.51588 | + | 6.64151i | 0.0746821 | + | 0.327204i | ||||
\(413\) | −3.20410 | − | 4.01782i | −0.157664 | − | 0.197704i | ||||
\(414\) | −3.45502 | − | 4.33246i | −0.169805 | − | 0.212929i | ||||
\(415\) | −6.78706 | − | 3.26847i | −0.333163 | − | 0.160443i | ||||
\(416\) | −0.293361 | + | 1.28530i | −0.0143832 | + | 0.0630169i | ||||
\(417\) | −29.4449 | + | 36.9227i | −1.44192 | + | 1.80811i | ||||
\(418\) | −1.59874 | + | 7.00455i | −0.0781970 | + | 0.342604i | ||||
\(419\) | −2.03749 | + | 0.981202i | −0.0995378 | + | 0.0479349i | −0.482990 | − | 0.875626i | \(-0.660449\pi\) |
0.383452 | + | 0.923561i | \(0.374735\pi\) | |||||||
\(420\) | −4.00499 | − | 5.02210i | −0.195424 | − | 0.245053i | ||||
\(421\) | −0.250018 | + | 0.120402i | −0.0121851 | + | 0.00586806i | −0.439966 | − | 0.898014i | \(-0.645010\pi\) |
0.427781 | + | 0.903882i | \(0.359295\pi\) | |||||||
\(422\) | 2.33763 | − | 2.93130i | 0.113794 | − | 0.142693i | ||||
\(423\) | 37.4776 | 1.82223 | ||||||||
\(424\) | −0.700956 | −0.0340414 | ||||||||
\(425\) | 3.17768 | − | 3.98469i | 0.154140 | − | 0.193286i | ||||
\(426\) | −17.3979 | − | 8.37837i | −0.842929 | − | 0.405933i | ||||
\(427\) | −7.66153 | − | 33.5674i | −0.370768 | − | 1.62444i | ||||
\(428\) | 3.11459 | − | 13.6459i | 0.150549 | − | 0.659600i | ||||
\(429\) | −9.17862 | −0.443148 | ||||||||
\(430\) | −5.55341 | − | 3.48706i | −0.267809 | − | 0.168161i | ||||
\(431\) | 10.9269 | 0.526331 | 0.263165 | − | 0.964751i | \(-0.415234\pi\) | ||||
0.263165 | + | 0.964751i | \(0.415234\pi\) | |||||||
\(432\) | 0.262939 | − | 1.15201i | 0.0126507 | − | 0.0554262i | ||||
\(433\) | 6.56583 | + | 28.7668i | 0.315534 | + | 1.38244i | 0.845296 | + | 0.534298i | \(0.179424\pi\) |
−0.529762 | + | 0.848146i | \(0.677719\pi\) | |||||||
\(434\) | −2.29098 | − | 1.10328i | −0.109971 | − | 0.0529591i | ||||
\(435\) | −3.21389 | + | 4.03009i | −0.154094 | + | 0.193228i | ||||
\(436\) | 6.84904 | 0.328010 | ||||||||
\(437\) | 4.19651 | 0.200746 | ||||||||
\(438\) | 10.7271 | − | 13.4514i | 0.512561 | − | 0.642732i | ||||
\(439\) | 17.0992 | − | 8.23453i | 0.816100 | − | 0.393013i | 0.0212161 | − | 0.999775i | \(-0.493246\pi\) |
0.794884 | + | 0.606762i | \(0.207532\pi\) | |||||||
\(440\) | 1.70726 | + | 2.14084i | 0.0813904 | + | 0.102060i | ||||
\(441\) | 1.92747 | − | 0.928222i | 0.0917844 | − | 0.0442010i | ||||
\(442\) | −1.49515 | + | 6.55066i | −0.0711168 | + | 0.311583i | ||||
\(443\) | 6.52314 | − | 8.17975i | 0.309924 | − | 0.388632i | −0.602337 | − | 0.798242i | \(-0.705764\pi\) |
0.912261 | + | 0.409610i | \(0.134335\pi\) | |||||||
\(444\) | 2.49414 | − | 10.9276i | 0.118367 | − | 0.518599i | ||||
\(445\) | 2.11068 | + | 1.01645i | 0.100056 | + | 0.0481842i | ||||
\(446\) | −14.2888 | − | 17.9176i | −0.676593 | − | 0.848421i | ||||
\(447\) | −36.1539 | − | 45.3355i | −1.71002 | − | 2.14430i | ||||
\(448\) | −0.562170 | − | 2.46303i | −0.0265600 | − | 0.116367i | ||||
\(449\) | 29.5414 | + | 14.2264i | 1.39415 | + | 0.671386i | 0.971965 | − | 0.235126i | \(-0.0755502\pi\) |
0.422182 | + | 0.906511i | \(0.361264\pi\) | |||||||
\(450\) | 3.12162 | − | 1.50329i | 0.147155 | − | 0.0708660i | ||||
\(451\) | 1.22535 | + | 5.36859i | 0.0576993 | + | 0.252797i | ||||
\(452\) | 2.72362 | + | 11.9330i | 0.128108 | + | 0.561280i | ||||
\(453\) | 42.1178 | − | 20.2828i | 1.97886 | − | 0.952971i | ||||
\(454\) | −5.69948 | − | 2.74473i | −0.267490 | − | 0.128816i | ||||
\(455\) | 0.741138 | + | 3.24714i | 0.0347451 | + | 0.152228i | ||||
\(456\) | 4.15951 | + | 5.21586i | 0.194787 | + | 0.244255i | ||||
\(457\) | −7.84321 | − | 9.83507i | −0.366890 | − | 0.460065i | 0.563780 | − | 0.825925i | \(-0.309346\pi\) |
−0.930670 | + | 0.365860i | \(0.880775\pi\) | |||||||
\(458\) | −6.67821 | − | 3.21606i | −0.312052 | − | 0.150277i | ||||
\(459\) | 1.34010 | − | 5.87136i | 0.0625505 | − | 0.274052i | ||||
\(460\) | 0.997196 | − | 1.25044i | 0.0464945 | − | 0.0583022i | ||||
\(461\) | −0.235616 | + | 1.03230i | −0.0109737 | + | 0.0480791i | −0.980118 | − | 0.198414i | \(-0.936421\pi\) |
0.969145 | + | 0.246493i | \(0.0792782\pi\) | |||||||
\(462\) | 15.8472 | − | 7.63161i | 0.737278 | − | 0.355055i | ||||
\(463\) | 1.47475 | + | 1.84928i | 0.0685374 | + | 0.0859431i | 0.814918 | − | 0.579576i | \(-0.196782\pi\) |
−0.746381 | + | 0.665519i | \(0.768210\pi\) | |||||||
\(464\) | −1.82657 | + | 0.879628i | −0.0847962 | + | 0.0408357i | ||||
\(465\) | 1.59559 | − | 2.00080i | 0.0739935 | − | 0.0927849i | ||||
\(466\) | 0.416642 | 0.0193006 | ||||||||
\(467\) | 1.28034 | 0.0592469 | 0.0296235 | − | 0.999561i | \(-0.490569\pi\) | ||||
0.0296235 | + | 0.999561i | \(0.490569\pi\) | |||||||
\(468\) | −2.84794 | + | 3.57121i | −0.131646 | + | 0.165079i | ||||
\(469\) | −28.9021 | − | 13.9185i | −1.33457 | − | 0.642696i | ||||
\(470\) | 2.40698 | + | 10.5457i | 0.111026 | + | 0.486435i | ||||
\(471\) | −6.05220 | + | 26.5164i | −0.278871 | + | 1.22181i | ||||
\(472\) | 2.03414 | 0.0936288 | ||||||||
\(473\) | 12.6928 | − | 12.7006i | 0.583614 | − | 0.583973i | ||||
\(474\) | −13.0199 | −0.598025 | ||||||||
\(475\) | −0.583859 | + | 2.55805i | −0.0267893 | + | 0.117372i | ||||
\(476\) | −2.86516 | − | 12.5531i | −0.131324 | − | 0.575370i | ||||
\(477\) | −2.18812 | − | 1.05374i | −0.100187 | − | 0.0482476i | ||||
\(478\) | −14.0354 | + | 17.5998i | −0.641963 | + | 0.804996i | ||||
\(479\) | −10.5060 | −0.480032 | −0.240016 | − | 0.970769i | \(-0.577153\pi\) | ||||
−0.240016 | + | 0.970769i | \(0.577153\pi\) | |||||||
\(480\) | 2.54259 | 0.116053 | ||||||||
\(481\) | −3.62356 | + | 4.54380i | −0.165220 | + | 0.207180i | ||||
\(482\) | −18.2088 | + | 8.76892i | −0.829390 | + | 0.399413i | ||||
\(483\) | −6.40550 | − | 8.03224i | −0.291460 | − | 0.365479i | ||||
\(484\) | 3.15526 | − | 1.51950i | 0.143421 | − | 0.0690680i | ||||
\(485\) | 2.85699 | − | 12.5173i | 0.129729 | − | 0.568382i | ||||
\(486\) | −13.9251 | + | 17.4615i | −0.631655 | + | 0.792070i | ||||
\(487\) | 4.34693 | − | 19.0451i | 0.196978 | − | 0.863018i | −0.775744 | − | 0.631047i | \(-0.782625\pi\) |
0.972723 | − | 0.231971i | \(-0.0745174\pi\) | |||||||
\(488\) | 12.2789 | + | 5.91318i | 0.555837 | + | 0.267677i | ||||
\(489\) | −20.0380 | − | 25.1268i | −0.906149 | − | 1.13627i | ||||
\(490\) | 0.384979 | + | 0.482749i | 0.0173916 | + | 0.0218084i | ||||
\(491\) | 5.21820 | + | 22.8624i | 0.235494 | + | 1.03177i | 0.945001 | + | 0.327068i | \(0.106061\pi\) |
−0.709507 | + | 0.704699i | \(0.751082\pi\) | |||||||
\(492\) | 4.60683 | + | 2.21853i | 0.207692 | + | 0.100019i | ||||
\(493\) | −9.30929 | + | 4.48312i | −0.419270 | + | 0.201910i | ||||
\(494\) | −0.769732 | − | 3.37242i | −0.0346319 | − | 0.151732i | ||||
\(495\) | 2.11111 | + | 9.24940i | 0.0948876 | + | 0.415730i | ||||
\(496\) | 0.906828 | − | 0.436705i | 0.0407178 | − | 0.0196086i | ||||
\(497\) | −17.2869 | − | 8.32494i | −0.775424 | − | 0.373424i | ||||
\(498\) | −4.26204 | − | 18.6732i | −0.190987 | − | 0.836768i | ||||
\(499\) | −5.74107 | − | 7.19907i | −0.257006 | − | 0.322275i | 0.636543 | − | 0.771241i | \(-0.280364\pi\) |
−0.893549 | + | 0.448966i | \(0.851792\pi\) | |||||||
\(500\) | 0.623490 | + | 0.781831i | 0.0278833 | + | 0.0349646i | ||||
\(501\) | 8.89547 | + | 4.28383i | 0.397420 | + | 0.191388i | ||||
\(502\) | −1.00847 | + | 4.41841i | −0.0450103 | + | 0.197203i | ||||
\(503\) | 16.0495 | − | 20.1254i | 0.715610 | − | 0.897346i | −0.282471 | − | 0.959276i | \(-0.591154\pi\) |
0.998081 | + | 0.0619295i | \(0.0197254\pi\) | |||||||
\(504\) | 1.94777 | − | 8.53375i | 0.0867607 | − | 0.380123i | ||||
\(505\) | 2.99011 | − | 1.43996i | 0.133058 | − | 0.0640774i | ||||
\(506\) | 2.73055 | + | 3.42401i | 0.121388 | + | 0.152216i | ||||
\(507\) | −25.7988 | + | 12.4240i | −1.14576 | + | 0.551770i | ||||
\(508\) | −13.0075 | + | 16.3109i | −0.577115 | + | 0.723680i | ||||
\(509\) | 23.9393 | 1.06109 | 0.530545 | − | 0.847657i | \(-0.321987\pi\) | ||||
0.530545 | + | 0.847657i | \(0.321987\pi\) | |||||||
\(510\) | 12.9586 | 0.573815 | ||||||||
\(511\) | 10.6587 | − | 13.3656i | 0.471513 | − | 0.591259i | ||||
\(512\) | 0.900969 | + | 0.433884i | 0.0398176 | + | 0.0191751i | ||||
\(513\) | 0.689911 | + | 3.02270i | 0.0304603 | + | 0.133455i | ||||
\(514\) | −1.66960 | + | 7.31501i | −0.0736430 | + | 0.322651i | ||||
\(515\) | −6.81231 | −0.300186 | ||||||||
\(516\) | −1.87186 | − | 16.5674i | −0.0824039 | − | 0.729341i | ||||
\(517\) | −29.6191 | −1.30265 | ||||||||
\(518\) | 2.47824 | − | 10.8579i | 0.108887 | − | 0.477067i | ||||
\(519\) | 7.92748 | + | 34.7326i | 0.347978 | + | 1.52459i | ||||
\(520\) | −1.18779 | − | 0.572011i | −0.0520882 | − | 0.0250844i | ||||
\(521\) | −18.0691 | + | 22.6579i | −0.791620 | + | 0.992661i | 0.208273 | + | 0.978071i | \(0.433216\pi\) |
−0.999894 | + | 0.0145899i | \(0.995356\pi\) | |||||||
\(522\) | −7.02419 | −0.307440 | ||||||||
\(523\) | −26.0703 | −1.13998 | −0.569988 | − | 0.821653i | \(-0.693052\pi\) | ||||
−0.569988 | + | 0.821653i | \(0.693052\pi\) | |||||||
\(524\) | 10.9415 | − | 13.7202i | 0.477982 | − | 0.599371i | ||||
\(525\) | 5.78738 | − | 2.78706i | 0.252582 | − | 0.121637i | ||||
\(526\) | 16.6242 | + | 20.8461i | 0.724851 | + | 0.908935i | ||||
\(527\) | 4.62175 | − | 2.22572i | 0.201326 | − | 0.0969537i | ||||
\(528\) | −1.54923 | + | 6.78763i | −0.0674217 | + | 0.295394i | ||||
\(529\) | −12.7454 | + | 15.9822i | −0.554147 | + | 0.694878i | ||||
\(530\) | 0.155977 | − | 0.683381i | 0.00677522 | − | 0.0296842i | ||||
\(531\) | 6.34981 | + | 3.05791i | 0.275558 | + | 0.132702i | ||||
\(532\) | 4.13298 | + | 5.18259i | 0.179187 | + | 0.224694i | ||||
\(533\) | −1.65302 | − | 2.07282i | −0.0716002 | − | 0.0897839i | ||||
\(534\) | 1.32543 | + | 5.80711i | 0.0573571 | + | 0.251298i | ||||
\(535\) | 12.6107 | + | 6.07301i | 0.545209 | + | 0.262559i | ||||
\(536\) | 11.4402 | − | 5.50929i | 0.494139 | − | 0.237965i | ||||
\(537\) | 5.10646 | + | 22.3729i | 0.220360 | + | 0.965461i | ||||
\(538\) | −2.32412 | − | 10.1826i | −0.100200 | − | 0.439005i | ||||
\(539\) | −1.52331 | + | 0.733587i | −0.0656136 | + | 0.0315978i | ||||
\(540\) | 1.06462 | + | 0.512694i | 0.0458139 | + | 0.0220628i | ||||
\(541\) | 2.02474 | + | 8.87095i | 0.0870502 | + | 0.381392i | 0.999621 | − | 0.0275267i | \(-0.00876313\pi\) |
−0.912571 | + | 0.408919i | \(0.865906\pi\) | |||||||
\(542\) | −5.81393 | − | 7.29044i | −0.249730 | − | 0.313151i | ||||
\(543\) | 26.0346 | + | 32.6464i | 1.11725 | + | 1.40099i | ||||
\(544\) | 4.59189 | + | 2.21134i | 0.196875 | + | 0.0948102i | ||||
\(545\) | −1.52406 | + | 6.67733i | −0.0652834 | + | 0.286025i | ||||
\(546\) | −5.27999 | + | 6.62090i | −0.225963 | + | 0.283348i | ||||
\(547\) | 7.81392 | − | 34.2350i | 0.334099 | − | 1.46378i | −0.477015 | − | 0.878895i | \(-0.658281\pi\) |
0.811114 | − | 0.584888i | \(-0.198862\pi\) | |||||||
\(548\) | 0.721702 | − | 0.347554i | 0.0308296 | − | 0.0148467i | ||||
\(549\) | 29.4407 | + | 36.9174i | 1.25650 | + | 1.57560i | ||||
\(550\) | −2.46706 | + | 1.18807i | −0.105196 | + | 0.0506597i | ||||
\(551\) | 3.31659 | − | 4.15888i | 0.141292 | − | 0.177174i | ||||
\(552\) | 4.06655 | 0.173084 | ||||||||
\(553\) | −12.9369 | −0.550133 | ||||||||
\(554\) | 15.0387 | − | 18.8579i | 0.638933 | − | 0.801196i | ||||
\(555\) | 10.0986 | + | 4.86322i | 0.428661 | + | 0.206432i | ||||
\(556\) | −4.13310 | − | 18.1083i | −0.175282 | − | 0.767962i | ||||
\(557\) | 1.84306 | − | 8.07499i | 0.0780931 | − | 0.342148i | −0.920754 | − | 0.390142i | \(-0.872426\pi\) |
0.998848 | + | 0.0479942i | \(0.0152829\pi\) | |||||||
\(558\) | 3.48727 | 0.147628 | ||||||||
\(559\) | −2.85276 | + | 8.16076i | −0.120659 | + | 0.345163i | ||||
\(560\) | 2.52637 | 0.106759 | ||||||||
\(561\) | −7.89584 | + | 34.5939i | −0.333362 | + | 1.46056i | ||||
\(562\) | 0.298008 | + | 1.30566i | 0.0125707 | + | 0.0550758i | ||||
\(563\) | −23.9574 | − | 11.5373i | −1.00968 | − | 0.486237i | −0.145469 | − | 0.989363i | \(-0.546469\pi\) |
−0.864213 | + | 0.503125i | \(0.832183\pi\) | |||||||
\(564\) | −17.1477 | + | 21.5026i | −0.722049 | + | 0.905421i | ||||
\(565\) | −12.2398 | −0.514934 | ||||||||
\(566\) | 15.5040 | 0.651680 | ||||||||
\(567\) | −11.6402 | + | 14.5963i | −0.488841 | + | 0.612987i | ||||
\(568\) | 6.84259 | − | 3.29522i | 0.287109 | − | 0.138264i | ||||
\(569\) | −8.70573 | − | 10.9166i | −0.364963 | − | 0.457650i | 0.565114 | − | 0.825013i | \(-0.308832\pi\) |
−0.930078 | + | 0.367363i | \(0.880261\pi\) | |||||||
\(570\) | −6.01066 | + | 2.89458i | −0.251759 | + | 0.121241i | ||||
\(571\) | 3.67759 | − | 16.1126i | 0.153902 | − | 0.674291i | −0.837826 | − | 0.545937i | \(-0.816174\pi\) |
0.991729 | − | 0.128353i | \(-0.0409692\pi\) | |||||||
\(572\) | 2.25077 | − | 2.82238i | 0.0941094 | − | 0.118009i | ||||
\(573\) | 10.6623 | − | 46.7147i | 0.445425 | − | 1.95154i | ||||
\(574\) | 4.57745 | + | 2.20439i | 0.191059 | + | 0.0920093i | ||||
\(575\) | 0.997196 | + | 1.25044i | 0.0415859 | + | 0.0521471i | ||||
\(576\) | 2.16023 | + | 2.70884i | 0.0900096 | + | 0.112868i | ||||
\(577\) | 6.52772 | + | 28.5998i | 0.271752 | + | 1.19063i | 0.907943 | + | 0.419093i | \(0.137652\pi\) |
−0.636191 | + | 0.771532i | \(0.719491\pi\) | |||||||
\(578\) | 8.08657 | + | 3.89429i | 0.336357 | + | 0.161981i | ||||
\(579\) | 0.0671273 | − | 0.0323268i | 0.00278972 | − | 0.00134346i | ||||
\(580\) | −0.451125 | − | 1.97651i | −0.0187319 | − | 0.0820699i | ||||
\(581\) | −4.23486 | − | 18.5541i | −0.175692 | − | 0.769756i | ||||
\(582\) | 29.4119 | − | 14.1640i | 1.21916 | − | 0.587119i | ||||
\(583\) | 1.72930 | + | 0.832788i | 0.0716204 | + | 0.0344905i | ||||
\(584\) | 1.50574 | + | 6.59706i | 0.0623078 | + | 0.272988i | ||||
\(585\) | −2.84794 | − | 3.57121i | −0.117748 | − | 0.147651i | ||||
\(586\) | −0.678663 | − | 0.851016i | −0.0280353 | − | 0.0351552i | ||||
\(587\) | 12.4216 | + | 5.98191i | 0.512693 | + | 0.246900i | 0.672297 | − | 0.740281i | \(-0.265308\pi\) |
−0.159605 | + | 0.987181i | \(0.551022\pi\) | |||||||
\(588\) | −0.349345 | + | 1.53058i | −0.0144067 | + | 0.0631200i | ||||
\(589\) | −1.64658 | + | 2.06474i | −0.0678460 | + | 0.0850761i | ||||
\(590\) | −0.452638 | + | 1.98314i | −0.0186348 | + | 0.0816445i | ||||
\(591\) | −37.2470 | + | 17.9372i | −1.53214 | + | 0.737838i | ||||
\(592\) | 2.74855 | + | 3.44658i | 0.112965 | + | 0.141653i | ||||
\(593\) | −16.4341 | + | 7.91424i | −0.674867 | + | 0.324999i | −0.739738 | − | 0.672895i | \(-0.765051\pi\) |
0.0648713 | + | 0.997894i | \(0.479336\pi\) | |||||||
\(594\) | −2.01737 | + | 2.52970i | −0.0827735 | + | 0.103795i | ||||
\(595\) | 12.8759 | 0.527861 | ||||||||
\(596\) | 22.8061 | 0.934173 | ||||||||
\(597\) | −40.2763 | + | 50.5048i | −1.64840 | + | 2.06703i | ||||
\(598\) | −1.89973 | − | 0.914862i | −0.0776858 | − | 0.0374115i | ||||
\(599\) | 3.70533 | + | 16.2341i | 0.151396 | + | 0.663308i | 0.992480 | + | 0.122404i | \(0.0390604\pi\) |
−0.841085 | + | 0.540904i | \(0.818082\pi\) | |||||||
\(600\) | −0.565778 | + | 2.47884i | −0.0230978 | + | 0.101198i | ||||
\(601\) | −7.03347 | −0.286901 | −0.143451 | − | 0.989657i | \(-0.545820\pi\) | ||||
−0.143451 | + | 0.989657i | \(0.545820\pi\) | |||||||
\(602\) | −1.85992 | − | 16.4618i | −0.0758046 | − | 0.670932i | ||||
\(603\) | 43.9939 | 1.79157 | ||||||||
\(604\) | −4.09120 | + | 17.9247i | −0.166469 | + | 0.729347i | ||||
\(605\) | 0.779286 | + | 3.41427i | 0.0316825 | + | 0.138810i | ||||
\(606\) | 7.60261 | + | 3.66122i | 0.308835 | + | 0.148727i | ||||
\(607\) | 18.1372 | − | 22.7434i | 0.736167 | − | 0.923124i | −0.262964 | − | 0.964806i | \(-0.584700\pi\) |
0.999131 | + | 0.0416815i | \(0.0132715\pi\) | |||||||
\(608\) | −2.62384 | −0.106411 | ||||||||
\(609\) | −13.0226 | −0.527703 | ||||||||
\(610\) | −8.49723 | + | 10.6552i | −0.344043 | + | 0.431416i | ||||
\(611\) | 12.8482 | − | 6.18737i | 0.519783 | − | 0.250314i | ||||
\(612\) | 11.0098 | + | 13.8059i | 0.445047 | + | 0.558071i | ||||
\(613\) | −37.1536 | + | 17.8922i | −1.50062 | + | 0.722661i | −0.990509 | − | 0.137447i | \(-0.956110\pi\) |
−0.510112 | + | 0.860108i | \(0.670396\pi\) | |||||||
\(614\) | −6.63167 | + | 29.0552i | −0.267632 | + | 1.17257i | ||||
\(615\) | −3.18803 | + | 3.99766i | −0.128554 | + | 0.161201i | ||||
\(616\) | −1.53935 | + | 6.74434i | −0.0620223 | + | 0.271737i | ||||
\(617\) | 18.6427 | + | 8.97785i | 0.750527 | + | 0.361435i | 0.769721 | − | 0.638381i | \(-0.220396\pi\) |
−0.0191935 | + | 0.999816i | \(0.506110\pi\) | |||||||
\(618\) | −10.7994 | − | 13.5420i | −0.434415 | − | 0.544739i | ||||
\(619\) | −13.2973 | − | 16.6743i | −0.534465 | − | 0.670197i | 0.439145 | − | 0.898416i | \(-0.355281\pi\) |
−0.973610 | + | 0.228219i | \(0.926710\pi\) | |||||||
\(620\) | 0.223968 | + | 0.981268i | 0.00899477 | + | 0.0394087i | ||||
\(621\) | 1.70273 | + | 0.819991i | 0.0683282 | + | 0.0329051i | ||||
\(622\) | −3.98620 | + | 1.91965i | −0.159832 | + | 0.0769711i | ||||
\(623\) | 1.31698 | + | 5.77007i | 0.0527637 | + | 0.231173i | ||||
\(624\) | −0.745895 | − | 3.26798i | −0.0298597 | − | 0.130824i | ||||
\(625\) | −0.900969 | + | 0.433884i | −0.0360388 | + | 0.0173553i | ||||
\(626\) | 25.4894 | + | 12.2750i | 1.01876 | + | 0.490610i | ||||
\(627\) | −4.06494 | − | 17.8097i | −0.162338 | − | 0.711249i | ||||
\(628\) | −6.66954 | − | 8.36334i | −0.266144 | − | 0.333734i | ||||
\(629\) | 14.0083 | + | 17.5659i | 0.558548 | + | 0.700397i | ||||
\(630\) | 7.88637 | + | 3.79788i | 0.314201 | + | 0.151311i | ||||
\(631\) | −0.242598 | + | 1.06289i | −0.00965768 | + | 0.0423130i | −0.979527 | − | 0.201312i | \(-0.935479\pi\) |
0.969869 | + | 0.243625i | \(0.0783366\pi\) | |||||||
\(632\) | 3.19273 | − | 4.00356i | 0.127000 | − | 0.159253i | ||||
\(633\) | −2.12126 | + | 9.29384i | −0.0843125 | + | 0.369397i | ||||
\(634\) | 23.8628 | − | 11.4917i | 0.947713 | − | 0.456394i | ||||
\(635\) | −13.0075 | − | 16.3109i | −0.516188 | − | 0.647279i | ||||
\(636\) | 1.60574 | − | 0.773285i | 0.0636718 | − | 0.0306627i | ||||
\(637\) | 0.507538 | − | 0.636432i | 0.0201094 | − | 0.0252164i | ||||
\(638\) | 5.55132 | 0.219779 | ||||||||
\(639\) | 26.3137 | 1.04095 | ||||||||
\(640\) | −0.623490 | + | 0.781831i | −0.0246456 | + | 0.0309046i | ||||
\(641\) | −11.9960 | − | 5.77698i | −0.473815 | − | 0.228177i | 0.181708 | − | 0.983353i | \(-0.441837\pi\) |
−0.655523 | + | 0.755175i | \(0.727552\pi\) | |||||||
\(642\) | 7.91912 | + | 34.6959i | 0.312543 | + | 1.36934i | ||||
\(643\) | −0.555838 | + | 2.43529i | −0.0219201 | + | 0.0960383i | −0.984705 | − | 0.174232i | \(-0.944256\pi\) |
0.962785 | + | 0.270270i | \(0.0871130\pi\) | |||||||
\(644\) | 4.04062 | 0.159223 | ||||||||
\(645\) | 16.5686 | + | 1.86168i | 0.652387 | + | 0.0733034i | ||||
\(646\) | −13.3727 | −0.526141 | ||||||||
\(647\) | 6.63947 | − | 29.0894i | 0.261024 | − | 1.14362i | −0.659118 | − | 0.752039i | \(-0.729070\pi\) |
0.920143 | − | 0.391583i | \(-0.128072\pi\) | |||||||
\(648\) | −1.64439 | − | 7.20452i | −0.0645976 | − | 0.283020i | ||||
\(649\) | −5.01835 | − | 2.41671i | −0.196987 | − | 0.0948641i | ||||
\(650\) | 0.821979 | − | 1.03073i | 0.0322407 | − | 0.0404285i | ||||
\(651\) | 6.46528 | 0.253394 | ||||||||
\(652\) | 12.6401 | 0.495023 | ||||||||
\(653\) | 18.4772 | − | 23.1697i | 0.723070 | − | 0.906701i | −0.275438 | − | 0.961319i | \(-0.588823\pi\) |
0.998507 | + | 0.0546183i | \(0.0173942\pi\) | |||||||
\(654\) | −15.6897 | + | 7.55577i | −0.613517 | + | 0.295454i | ||||
\(655\) | 10.9415 | + | 13.7202i | 0.427520 | + | 0.536094i | ||||
\(656\) | −1.81187 | + | 0.872551i | −0.0707417 | + | 0.0340674i | ||||
\(657\) | −5.21698 | + | 22.8571i | −0.203534 | + | 0.891741i | ||||
\(658\) | −17.0384 | + | 21.3654i | −0.664224 | + | 0.832911i | ||||
\(659\) | 5.84535 | − | 25.6102i | 0.227703 | − | 0.997630i | −0.723805 | − | 0.690005i | \(-0.757608\pi\) |
0.951508 | − | 0.307625i | \(-0.0995344\pi\) | |||||||
\(660\) | −6.27272 | − | 3.02078i | −0.244165 | − | 0.117584i | ||||
\(661\) | 3.64650 | + | 4.57257i | 0.141832 | + | 0.177852i | 0.847674 | − | 0.530518i | \(-0.178002\pi\) |
−0.705842 | + | 0.708370i | \(0.749431\pi\) | |||||||
\(662\) | 7.44431 | + | 9.33487i | 0.289331 | + | 0.362810i | ||||
\(663\) | −3.80154 | − | 16.6556i | −0.147639 | − | 0.646850i | ||||
\(664\) | 6.78706 | + | 3.26847i | 0.263389 | + | 0.126841i | ||||
\(665\) | −5.97233 | + | 2.87612i | −0.231597 | + | 0.111531i | ||||
\(666\) | 3.39873 | + | 14.8908i | 0.131698 | + | 0.577007i | ||||
\(667\) | −0.721519 | − | 3.16118i | −0.0279373 | − | 0.122401i | ||||
\(668\) | −3.49859 | + | 1.68483i | −0.135365 | + | 0.0651882i | ||||
\(669\) | 52.4990 | + | 25.2822i | 2.02973 | + | 0.977466i | ||||
\(670\) | 2.82549 | + | 12.3793i | 0.109158 | + | 0.478253i | ||||
\(671\) | −23.2674 | − | 29.1764i | −0.898228 | − | 1.12634i | ||||
\(672\) | 4.00499 | + | 5.02210i | 0.154496 | + | 0.193732i | ||||
\(673\) | 42.2537 | + | 20.3483i | 1.62876 | + | 0.784370i | 0.999977 | + | 0.00679019i | \(0.00216140\pi\) |
0.628784 | + | 0.777580i | \(0.283553\pi\) | |||||||
\(674\) | 5.22214 | − | 22.8797i | 0.201149 | − | 0.881293i | ||||
\(675\) | −0.736740 | + | 0.923842i | −0.0283571 | + | 0.0355587i | ||||
\(676\) | 2.50602 | − | 10.9796i | 0.0963854 | − | 0.422292i | ||||
\(677\) | 24.5796 | − | 11.8369i | 0.944670 | − | 0.454929i | 0.102856 | − | 0.994696i | \(-0.467202\pi\) |
0.841814 | + | 0.539767i | \(0.181488\pi\) | |||||||
\(678\) | −19.4035 | − | 24.3313i | −0.745188 | − | 0.934436i | ||||
\(679\) | 29.2244 | − | 14.0737i | 1.12153 | − | 0.540099i | ||||
\(680\) | −3.17768 | + | 3.98469i | −0.121859 | + | 0.152806i | ||||
\(681\) | 16.0843 | 0.616350 | ||||||||
\(682\) | −2.75604 | −0.105534 | ||||||||
\(683\) | 18.9610 | − | 23.7763i | 0.725522 | − | 0.909776i | −0.273114 | − | 0.961982i | \(-0.588054\pi\) |
0.998636 | + | 0.0522058i | \(0.0166252\pi\) | |||||||
\(684\) | −8.19063 | − | 3.94440i | −0.313177 | − | 0.150818i | ||||
\(685\) | 0.178246 | + | 0.780946i | 0.00681042 | + | 0.0298384i | ||||
\(686\) | −4.28231 | + | 18.7620i | −0.163499 | + | 0.716337i | ||||
\(687\) | 18.8463 | 0.719031 | ||||||||
\(688\) | 5.55341 | + | 3.48706i | 0.211722 | + | 0.132943i | ||||
\(689\) | −0.924106 | −0.0352056 | ||||||||
\(690\) | −0.904893 | + | 3.96460i | −0.0344487 | + | 0.150930i | ||||
\(691\) | −4.14270 | − | 18.1504i | −0.157596 | − | 0.690473i | −0.990552 | − | 0.137134i | \(-0.956211\pi\) |
0.832957 | − | 0.553338i | \(-0.186646\pi\) | |||||||
\(692\) | −12.6241 | − | 6.07942i | −0.479894 | − | 0.231105i | ||||
\(693\) | −14.9440 | + | 18.7392i | −0.567676 | + | 0.711843i | ||||
\(694\) | 33.9438 | 1.28849 | ||||||||
\(695\) | 18.5740 | 0.704551 | ||||||||
\(696\) | 3.21389 | − | 4.03009i | 0.121822 | − | 0.152760i | ||||
\(697\) | −9.23439 | + | 4.44705i | −0.349778 | + | 0.168444i | ||||
\(698\) | −10.5655 | − | 13.2487i | −0.399910 | − | 0.501471i | ||||
\(699\) | −0.954440 | + | 0.459634i | −0.0361002 | + | 0.0173850i | ||||
\(700\) | −0.562170 | + | 2.46303i | −0.0212480 | + | 0.0930937i | ||||
\(701\) | 5.88605 | − | 7.38087i | 0.222313 | − | 0.278772i | −0.658150 | − | 0.752887i | \(-0.728661\pi\) |
0.880463 | + | 0.474115i | \(0.157232\pi\) | |||||||
\(702\) | 0.346647 | − | 1.51876i | 0.0130833 | − | 0.0573218i | ||||
\(703\) | −10.4213 | − | 5.01863i | −0.393047 | − | 0.189281i | ||||
\(704\) | −1.70726 | − | 2.14084i | −0.0643448 | − | 0.0806858i | ||||
\(705\) | −17.1477 | − | 21.5026i | −0.645821 | − | 0.809834i | ||||
\(706\) | −3.00342 | − | 13.1588i | −0.113035 | − | 0.495239i | ||||
\(707\) | 7.55412 | + | 3.63787i | 0.284102 | + | 0.136816i | ||||
\(708\) | −4.65978 | + | 2.24403i | −0.175125 | + | 0.0843359i | ||||
\(709\) | 6.80724 | + | 29.8245i | 0.255651 | + | 1.12008i | 0.925847 | + | 0.377898i | \(0.123353\pi\) |
−0.670196 | + | 0.742184i | \(0.733790\pi\) | |||||||
\(710\) | 1.68998 | + | 7.40429i | 0.0634238 | + | 0.277878i | ||||
\(711\) | 15.9850 | − | 7.69798i | 0.599485 | − | 0.288697i | ||||
\(712\) | −2.11068 | − | 1.01645i | −0.0791009 | − | 0.0380930i | ||||
\(713\) | 0.358209 | + | 1.56942i | 0.0134150 | + | 0.0587752i | ||||
\(714\) | 20.4119 | + | 25.5957i | 0.763895 | + | 0.957894i | ||||
\(715\) | 2.25077 | + | 2.82238i | 0.0841740 | + | 0.105551i | ||||
\(716\) | −8.13174 | − | 3.91604i | −0.303897 | − | 0.146349i | ||||
\(717\) | 12.7362 | − | 55.8010i | 0.475643 | − | 2.08393i | ||||
\(718\) | −16.7551 | + | 21.0102i | −0.625295 | + | 0.784095i | ||||
\(719\) | −0.499921 | + | 2.19030i | −0.0186439 | + | 0.0816843i | −0.983394 | − | 0.181483i | \(-0.941910\pi\) |
0.964750 | + | 0.263168i | \(0.0847673\pi\) | |||||||
\(720\) | −3.12162 | + | 1.50329i | −0.116336 | + | 0.0560245i | ||||
\(721\) | −10.7305 | − | 13.4556i | −0.399625 | − | 0.501114i | ||||
\(722\) | −10.9157 | + | 5.25670i | −0.406239 | + | 0.195634i | ||||
\(723\) | 32.0389 | − | 40.1755i | 1.19154 | − | 1.49414i | ||||
\(724\) | −16.4228 | −0.610347 | ||||||||
\(725\) | 2.02734 | 0.0752934 | ||||||||
\(726\) | −5.55176 | + | 6.96169i | −0.206045 | + | 0.258372i | ||||
\(727\) | −10.4533 | − | 5.03402i | −0.387690 | − | 0.186702i | 0.229878 | − | 0.973220i | \(-0.426167\pi\) |
−0.617567 | + | 0.786518i | \(0.711882\pi\) | |||||||
\(728\) | −0.741138 | − | 3.24714i | −0.0274684 | − | 0.120347i | ||||
\(729\) | 7.70300 | − | 33.7491i | 0.285296 | − | 1.24997i | ||||
\(730\) | −6.76672 | −0.250448 | ||||||||
\(731\) | 28.3036 | + | 17.7722i | 1.04685 | + | 0.657328i | ||||
\(732\) | −34.6516 | −1.28076 | ||||||||
\(733\) | 4.97500 | − | 21.7969i | 0.183756 | − | 0.805087i | −0.796065 | − | 0.605211i | \(-0.793089\pi\) |
0.979821 | − | 0.199876i | \(-0.0640541\pi\) | |||||||
\(734\) | 4.33106 | + | 18.9756i | 0.159862 | + | 0.700402i | ||||
\(735\) | −1.41447 | − | 0.681172i | −0.0521734 | − | 0.0251254i | ||||
\(736\) | −0.997196 | + | 1.25044i | −0.0367571 | + | 0.0460920i | ||||
\(737\) | −34.7690 | −1.28073 | ||||||||
\(738\) | −6.96768 | −0.256484 | ||||||||
\(739\) | −8.21316 | + | 10.2990i | −0.302126 | + | 0.378854i | −0.909600 | − | 0.415486i | \(-0.863612\pi\) |
0.607474 | + | 0.794340i | \(0.292183\pi\) | |||||||
\(740\) | −3.97178 | + | 1.91271i | −0.146005 | + | 0.0703125i | ||||
\(741\) | 5.48370 | + | 6.87634i | 0.201449 | + | 0.252609i | ||||
\(742\) | 1.59550 | − | 0.768353i | 0.0585727 | − | 0.0282071i | ||||
\(743\) | −8.94805 | + | 39.2040i | −0.328272 | + | 1.43825i | 0.494150 | + | 0.869376i | \(0.335479\pi\) |
−0.822422 | + | 0.568877i | \(0.807378\pi\) | |||||||
\(744\) | −1.59559 | + | 2.00080i | −0.0584970 | + | 0.0733529i | ||||
\(745\) | −5.07483 | + | 22.2343i | −0.185927 | + | 0.814600i | ||||
\(746\) | 8.58155 | + | 4.13265i | 0.314193 | + | 0.151307i | ||||
\(747\) | 16.2731 | + | 20.4059i | 0.595403 | + | 0.746612i | ||||
\(748\) | −8.70124 | − | 10.9110i | −0.318149 | − | 0.398946i | ||||
\(749\) | 7.86861 | + | 34.4746i | 0.287513 | + | 1.25968i | ||||
\(750\) | −2.29079 | − | 1.10319i | −0.0836478 | − | 0.0402827i | ||||
\(751\) | 31.4195 | − | 15.1308i | 1.14651 | − | 0.552132i | 0.238530 | − | 0.971135i | \(-0.423335\pi\) |
0.907985 | + | 0.419003i | \(0.137620\pi\) | |||||||
\(752\) | −2.40698 | − | 10.5457i | −0.0877735 | − | 0.384561i | ||||
\(753\) | −2.56413 | − | 11.2342i | −0.0934420 | − | 0.409396i | ||||
\(754\) | −2.40806 | + | 1.15966i | −0.0876963 | + | 0.0422323i | ||||
\(755\) | −16.5649 | − | 7.97725i | −0.602860 | − | 0.290322i | ||||
\(756\) | 0.664282 | + | 2.91041i | 0.0241597 | + | 0.105851i | ||||
\(757\) | −8.41805 | − | 10.5559i | −0.305959 | − | 0.383661i | 0.604953 | − | 0.796261i | \(-0.293192\pi\) |
−0.910912 | + | 0.412601i | \(0.864621\pi\) | |||||||
\(758\) | −8.97254 | − | 11.2512i | −0.325897 | − | 0.408663i | ||||
\(759\) | −10.0324 | − | 4.83137i | −0.364155 | − | 0.175368i | ||||
\(760\) | 0.583859 | − | 2.55805i | 0.0211788 | − | 0.0927904i | ||||
\(761\) | 12.3374 | − | 15.4706i | 0.447231 | − | 0.560810i | −0.506202 | − | 0.862415i | \(-0.668951\pi\) |
0.953433 | + | 0.301605i | \(0.0975225\pi\) | |||||||
\(762\) | 11.8035 | − | 51.7146i | 0.427596 | − | 1.87342i | ||||
\(763\) | −15.5897 | + | 7.50758i | −0.564384 | + | 0.271793i | ||||
\(764\) | 11.7499 | + | 14.7339i | 0.425097 | + | 0.533055i | ||||
\(765\) | −15.9097 | + | 7.66170i | −0.575216 | + | 0.277009i | ||||
\(766\) | 16.5770 | − | 20.7869i | 0.598951 | − | 0.751061i | ||||
\(767\) | 2.68171 | 0.0968309 | ||||||||
\(768\) | −2.54259 | −0.0917476 | ||||||||
\(769\) | 23.0219 | − | 28.8685i | 0.830191 | − | 1.04103i | −0.168280 | − | 0.985739i | \(-0.553821\pi\) |
0.998471 | − | 0.0552869i | \(-0.0176073\pi\) | |||||||
\(770\) | −6.23271 | − | 3.00152i | −0.224611 | − | 0.108167i | ||||
\(771\) | −4.24511 | − | 18.5990i | −0.152884 | − | 0.669827i | ||||
\(772\) | −0.00652056 | + | 0.0285684i | −0.000234680 | + | 0.00102820i | ||||
\(773\) | 33.3220 | 1.19851 | 0.599254 | − | 0.800559i | \(-0.295464\pi\) | ||||
0.599254 | + | 0.800559i | \(0.295464\pi\) | |||||||
\(774\) | 12.0936 | + | 19.2337i | 0.434695 | + | 0.691341i | ||||
\(775\) | −1.00650 | −0.0361547 | ||||||||
\(776\) | −2.85699 | + | 12.5173i | −0.102560 | + | 0.449345i | ||||
\(777\) | 6.30113 | + | 27.6070i | 0.226052 | + | 0.990397i | ||||
\(778\) | 26.8178 | + | 12.9148i | 0.961465 | + | 0.463017i | ||||
\(779\) | 3.28991 | − | 4.12542i | 0.117873 | − | 0.147808i | ||||
\(780\) | 3.35202 | 0.120022 | ||||||||
\(781\) | −20.7961 | −0.744142 | ||||||||
\(782\) | −5.08232 | + | 6.37302i | −0.181743 | + | 0.227899i | ||||
\(783\) | 2.15834 | − | 1.03940i | 0.0771328 | − | 0.0371452i | ||||
\(784\) | −0.384979 | − | 0.482749i | −0.0137493 | − | 0.0172410i | ||||
\(785\) | 9.63777 | − | 4.64130i | 0.343987 | − | 0.165655i | ||||
\(786\) | −9.92875 | + | 43.5007i | −0.354147 | + | 1.55162i | ||||
\(787\) | 17.2200 | − | 21.5933i | 0.613828 | − | 0.769717i | −0.373633 | − | 0.927577i | \(-0.621888\pi\) |
0.987461 | + | 0.157860i | \(0.0504595\pi\) | |||||||
\(788\) | 3.61807 | − | 15.8518i | 0.128888 | − | 0.564697i | ||||
\(789\) | −61.0798 | − | 29.4145i | −2.17450 | − | 1.04718i | ||||
\(790\) | 3.19273 | + | 4.00356i | 0.113592 | + | 0.142440i | ||||
\(791\) | −19.2798 | − | 24.1761i | −0.685510 | − | 0.859602i | ||||
\(792\) | −2.11111 | − | 9.24940i | −0.0750152 | − | 0.328663i | ||||
\(793\) | 16.1878 | + | 7.79566i | 0.574847 | + | 0.276832i | ||||
\(794\) | 17.1433 | − | 8.25579i | 0.608394 | − | 0.292987i | ||||
\(795\) | 0.396586 | + | 1.73755i | 0.0140654 | + | 0.0616247i | ||||
\(796\) | −5.65347 | − | 24.7695i | −0.200382 | − | 0.877931i | ||||
\(797\) | −17.2998 | + | 8.33112i | −0.612789 | + | 0.295103i | −0.714418 | − | 0.699719i | \(-0.753309\pi\) |
0.101630 | + | 0.994822i | \(0.467594\pi\) | |||||||
\(798\) | −15.1852 | − | 7.31279i | −0.537549 | − | 0.258870i | ||||
\(799\) | −12.2674 | − | 53.7472i | −0.433991 | − | 1.90144i | ||||
\(800\) | −0.623490 | − | 0.781831i | −0.0220437 | − | 0.0276419i | ||||
\(801\) | −5.06071 | − | 6.34593i | −0.178811 | − | 0.224222i | ||||
\(802\) | −0.853271 | − | 0.410913i | −0.0301300 | − | 0.0145099i | ||||
\(803\) | 4.12306 | − | 18.0643i | 0.145500 | − | 0.637475i | ||||
\(804\) | −20.1292 | + | 25.2412i | −0.709903 | + | 0.890190i | ||||
\(805\) | −0.899122 | + | 3.93931i | −0.0316899 | + | 0.138843i | ||||
\(806\) | 1.19552 | − | 0.575731i | 0.0421103 | − | 0.0202793i | ||||
\(807\) | 16.5574 | + | 20.7623i | 0.582849 | + | 0.730869i | ||||
\(808\) | −2.99011 | + | 1.43996i | −0.105192 | + | 0.0506576i | ||||
\(809\) | −17.5131 | + | 21.9607i | −0.615726 | + | 0.772096i | −0.987736 | − | 0.156133i | \(-0.950097\pi\) |
0.372010 | + | 0.928229i | \(0.378669\pi\) | |||||||
\(810\) | 7.38980 | 0.259651 | ||||||||
\(811\) | 5.95916 | 0.209254 | 0.104627 | − | 0.994512i | \(-0.466635\pi\) | ||||
0.104627 | + | 0.994512i | \(0.466635\pi\) | |||||||
\(812\) | 3.19339 | − | 4.00438i | 0.112066 | − | 0.140526i | ||||
\(813\) | 21.3612 | + | 10.2870i | 0.749170 | + | 0.360781i | ||||
\(814\) | −2.68606 | − | 11.7684i | −0.0941465 | − | 0.412483i | ||||
\(815\) | −2.81268 | + | 12.3231i | −0.0985238 | + | 0.431661i | ||||
\(816\) | −12.9586 | −0.453640 | ||||||||
\(817\) | −17.0981 | − | 1.92117i | −0.598186 | − | 0.0672132i | ||||
\(818\) | −26.6983 | −0.933483 | ||||||||
\(819\) | 2.56785 | − | 11.2505i | 0.0897279 | − | 0.393124i | ||||
\(820\) | −0.447495 | − | 1.96060i | −0.0156272 | − | 0.0684673i | ||||
\(821\) | −36.0301 | − | 17.3512i | −1.25746 | − | 0.605560i | −0.317957 | − | 0.948105i | \(-0.602997\pi\) |
−0.939501 | + | 0.342545i | \(0.888711\pi\) | |||||||
\(822\) | −1.26985 | + | 1.59234i | −0.0442912 | + | 0.0555394i | ||||
\(823\) | −11.5557 | −0.402806 | −0.201403 | − | 0.979508i | \(-0.564550\pi\) | ||||
−0.201403 | + | 0.979508i | \(0.564550\pi\) | |||||||
\(824\) | 6.81231 | 0.237318 | ||||||||
\(825\) | 4.34086 | − | 5.44326i | 0.151129 | − | 0.189510i | ||||
\(826\) | −4.63006 | + | 2.22972i | −0.161101 | + | 0.0775819i | ||||
\(827\) | 13.4458 | + | 16.8605i | 0.467557 | + | 0.586298i | 0.958571 | − | 0.284854i | \(-0.0919451\pi\) |
−0.491014 | + | 0.871152i | \(0.663374\pi\) | |||||||
\(828\) | −4.99265 | + | 2.40433i | −0.173507 | + | 0.0835564i | ||||
\(829\) | −7.33317 | + | 32.1287i | −0.254692 | + | 1.11588i | 0.672147 | + | 0.740417i | \(0.265372\pi\) |
−0.926839 | + | 0.375459i | \(0.877485\pi\) | |||||||
\(830\) | −4.69679 | + | 5.88959i | −0.163028 | + | 0.204431i | ||||
\(831\) | −13.6467 | + | 59.7900i | −0.473398 | + | 2.07409i | ||||
\(832\) | 1.18779 | + | 0.572011i | 0.0411793 | + | 0.0198309i | ||||
\(833\) | −1.96209 | − | 2.46038i | −0.0679823 | − | 0.0852471i | ||||
\(834\) | 29.4449 | + | 36.9227i | 1.01959 | + | 1.27853i | ||||
\(835\) | −0.864081 | − | 3.78579i | −0.0299028 | − | 0.131013i | ||||
\(836\) | 6.47318 | + | 3.11732i | 0.223879 | + | 0.107815i | ||||
\(837\) | −1.07154 | + | 0.516028i | −0.0370379 | + | 0.0178365i | ||||
\(838\) | 0.503218 | + | 2.20474i | 0.0173834 | + | 0.0761615i | ||||
\(839\) | −9.75476 | − | 42.7384i | −0.336772 | − | 1.47549i | −0.805735 | − | 0.592276i | \(-0.798230\pi\) |
0.468964 | − | 0.883217i | \(-0.344628\pi\) | |||||||
\(840\) | −5.78738 | + | 2.78706i | −0.199684 | + | 0.0961626i | ||||
\(841\) | 22.4250 | + | 10.7993i | 0.773277 | + | 0.372391i | ||||
\(842\) | 0.0617494 | + | 0.270542i | 0.00212802 | + | 0.00932349i | ||||
\(843\) | −2.12306 | − | 2.66223i | −0.0731219 | − | 0.0916920i | ||||
\(844\) | −2.33763 | − | 2.93130i | −0.0804647 | − | 0.100900i | ||||
\(845\) | 10.1467 | + | 4.88638i | 0.349056 | + | 0.168096i | ||||
\(846\) | 8.33956 | − | 36.5380i | 0.286720 | − | 1.25620i | ||||
\(847\) | −5.51635 | + | 6.91729i | −0.189544 | + | 0.237681i | ||||
\(848\) | −0.155977 | + | 0.683381i | −0.00535628 | + | 0.0234674i | ||||
\(849\) | −35.5163 | + | 17.1038i | −1.21892 | + | 0.586999i | ||||
\(850\) | −3.17768 | − | 3.98469i | −0.108994 | − | 0.136674i | ||||
\(851\) | −6.35237 | + | 3.05914i | −0.217756 | + | 0.104866i | ||||
\(852\) | −12.0397 | + | 15.0973i | −0.412473 | + | 0.517225i | ||||
\(853\) | −27.6175 | −0.945606 | −0.472803 | − | 0.881168i | \(-0.656758\pi\) | ||||
−0.472803 | + | 0.881168i | \(0.656758\pi\) | |||||||
\(854\) | −34.4306 | −1.17819 | ||||||||
\(855\) | 5.66809 | − | 7.10757i | 0.193845 | − | 0.243074i | ||||
\(856\) | −12.6107 | − | 6.07301i | −0.431026 | − | 0.207571i | ||||
\(857\) | −7.97595 | − | 34.9449i | −0.272453 | − | 1.19370i | −0.907107 | − | 0.420900i | \(-0.861714\pi\) |
0.634654 | − | 0.772796i | \(-0.281143\pi\) | |||||||
\(858\) | −2.04243 | + | 8.94849i | −0.0697276 | + | 0.305496i | ||||
\(859\) | 16.4927 | 0.562725 | 0.281362 | − | 0.959602i | \(-0.409214\pi\) | ||||
0.281362 | + | 0.959602i | \(0.409214\pi\) | |||||||
\(860\) | −4.63538 | + | 4.63823i | −0.158065 | + | 0.158162i | ||||
\(861\) | −12.9178 | −0.440239 | ||||||||
\(862\) | 2.43147 | − | 10.6529i | 0.0828161 | − | 0.362841i | ||||
\(863\) | 10.8074 | + | 47.3503i | 0.367888 | + | 1.61182i | 0.732570 | + | 0.680691i | \(0.238320\pi\) |
−0.364682 | + | 0.931132i | \(0.618822\pi\) | |||||||
\(864\) | −1.06462 | − | 0.512694i | −0.0362191 | − | 0.0174422i | ||||
\(865\) | 8.73611 | − | 10.9547i | 0.297037 | − | 0.372472i | ||||
\(866\) | 29.5066 | 1.00267 | ||||||||
\(867\) | −22.8208 | −0.775034 | ||||||||
\(868\) | −1.58541 | + | 1.98804i | −0.0538123 | + | 0.0674785i | ||||
\(869\) | −12.6332 | + | 6.08383i | −0.428552 | + | 0.206380i | ||||
\(870\) | 3.21389 | + | 4.03009i | 0.108961 | + | 0.136633i | ||||
\(871\) | 15.0822 | − | 7.26318i | 0.511039 | − | 0.246104i | ||||
\(872\) | 1.52406 | − | 6.67733i | 0.0516110 | − | 0.226123i | ||||
\(873\) | −27.7356 | + | 34.7794i | −0.938709 | + | 1.17710i | ||||
\(874\) | 0.933811 | − | 4.09129i | 0.0315866 | − | 0.138390i | ||||
\(875\) | −2.27618 | − | 1.09615i | −0.0769489 | − | 0.0370567i | ||||
\(876\) | −10.7271 | − | 13.4514i | −0.362436 | − | 0.454480i | ||||
\(877\) | −11.0251 | − | 13.8250i | −0.372290 | − | 0.466837i | 0.560029 | − | 0.828473i | \(-0.310790\pi\) |
−0.932319 | + | 0.361636i | \(0.882218\pi\) | |||||||
\(878\) | −4.22315 | − | 18.5028i | −0.142524 | − | 0.624440i | ||||
\(879\) | 2.49350 | + | 1.20081i | 0.0841038 | + | 0.0405022i | ||||
\(880\) | 2.46706 | − | 1.18807i | 0.0831647 | − | 0.0400500i | ||||
\(881\) | 3.75842 | + | 16.4667i | 0.126625 | + | 0.554778i | 0.997946 | + | 0.0640652i | \(0.0204066\pi\) |
−0.871321 | + | 0.490713i | \(0.836736\pi\) | |||||||
\(882\) | −0.476046 | − | 2.08570i | −0.0160293 | − | 0.0702290i | ||||
\(883\) | −33.1986 | + | 15.9876i | −1.11722 | + | 0.538026i | −0.899033 | − | 0.437880i | \(-0.855729\pi\) |
−0.218190 | + | 0.975906i | \(0.570015\pi\) | |||||||
\(884\) | 6.05372 | + | 2.91532i | 0.203609 | + | 0.0980528i | ||||
\(885\) | −1.15087 | − | 5.04230i | −0.0386861 | − | 0.169495i | ||||
\(886\) | −6.52314 | − | 8.17975i | −0.219149 | − | 0.274804i | ||||
\(887\) | 12.0714 | + | 15.1371i | 0.405319 | + | 0.508254i | 0.942038 | − | 0.335507i | \(-0.108908\pi\) |
−0.536719 | + | 0.843761i | \(0.680336\pi\) | |||||||
\(888\) | −10.0986 | − | 4.86322i | −0.338886 | − | 0.163199i | ||||
\(889\) | 11.7282 | − | 51.3848i | 0.393352 | − | 1.72339i | ||||
\(890\) | 1.46063 | − | 1.83158i | 0.0489605 | − | 0.0613946i | ||||
\(891\) | −4.50271 | + | 19.7277i | −0.150846 | + | 0.660902i | ||||
\(892\) | −20.6479 | + | 9.94350i | −0.691342 | + | 0.332933i | ||||
\(893\) | 17.6957 | + | 22.1897i | 0.592165 | + | 0.742551i | ||||
\(894\) | −52.2439 | + | 25.1593i | −1.74730 | + | 0.841454i | ||||
\(895\) | 5.62734 | − | 7.05646i | 0.188101 | − | 0.235872i | ||||
\(896\) | −2.52637 | −0.0844001 | ||||||||
\(897\) | 5.36115 | 0.179004 | ||||||||
\(898\) | 20.4433 | − | 25.6351i | 0.682202 | − | 0.855454i | ||||
\(899\) | 1.83844 | + | 0.885348i | 0.0613156 | + | 0.0295280i | ||||
\(900\) | −0.770977 | − | 3.37787i | −0.0256992 | − | 0.112596i | ||||
\(901\) | −0.794955 | + | 3.48293i | −0.0264838 | + | 0.116033i | ||||
\(902\) | 5.50665 | 0.183352 | ||||||||
\(903\) | 22.4211 | + | 35.6586i | 0.746127 | + | 1.18664i | ||||
\(904\) | 12.2398 | 0.407091 | ||||||||
\(905\) | 3.65441 | − | 16.0110i | 0.121477 | − | 0.532224i | ||||
\(906\) | −10.4022 | − | 45.5751i | −0.345591 | − | 1.51413i | ||||
\(907\) | 40.4202 | + | 19.4653i | 1.34213 | + | 0.646335i | 0.960578 | − | 0.278012i | \(-0.0896756\pi\) |
0.381552 | + | 0.924348i | \(0.375390\pi\) | |||||||
\(908\) | −3.94416 | + | 4.94583i | −0.130892 | + | 0.164133i | ||||
\(909\) | −11.4987 | −0.381387 | ||||||||
\(910\) | 3.33064 | 0.110410 | ||||||||
\(911\) | −31.4030 | + | 39.3781i | −1.04043 | + | 1.30466i | −0.0892508 | + | 0.996009i | \(0.528447\pi\) |
−0.951177 | + | 0.308646i | \(0.900124\pi\) | |||||||
\(912\) | 6.01066 | − | 2.89458i | 0.199033 | − | 0.0958492i | ||||
\(913\) | −12.8609 | − | 16.1271i | −0.425634 | − | 0.533728i | ||||
\(914\) | −11.3338 | + | 5.45805i | −0.374888 | + | 0.180536i | ||||
\(915\) | 7.71071 | − | 33.7828i | 0.254908 | − | 1.11683i | ||||
\(916\) | −4.62147 | + | 5.79514i | −0.152698 | + | 0.191477i | ||||
\(917\) | −9.86543 | + | 43.2233i | −0.325785 | + | 1.42736i | ||||
\(918\) | −5.42595 | − | 2.61300i | −0.179083 | − | 0.0862419i | ||||
\(919\) | −26.5361 | − | 33.2752i | −0.875345 | − | 1.09765i | −0.994496 | − | 0.104772i | \(-0.966589\pi\) |
0.119151 | − | 0.992876i | \(-0.461983\pi\) | |||||||
\(920\) | −0.997196 | − | 1.25044i | −0.0328766 | − | 0.0412259i | ||||
\(921\) | −16.8616 | − | 73.8754i | −0.555608 | − | 2.43428i | ||||
\(922\) | 0.953990 | + | 0.459417i | 0.0314180 | + | 0.0151301i | ||||
\(923\) | 9.02094 | − | 4.34426i | 0.296928 | − | 0.142993i | ||||
\(924\) | −3.91394 | − | 17.1481i | −0.128759 | − | 0.564130i | ||||
\(925\) | −0.980948 | − | 4.29781i | −0.0322534 | − | 0.141311i | ||||
\(926\) | 2.13107 | − | 1.02627i | 0.0700314 | − | 0.0337253i | ||||
\(927\) | 21.2654 | + | 10.2409i | 0.698449 | + | 0.336355i | ||||
\(928\) | 0.451125 | + | 1.97651i | 0.0148089 | + | 0.0648820i | ||||
\(929\) | 5.30941 | + | 6.65779i | 0.174196 | + | 0.218435i | 0.861263 | − | 0.508159i | \(-0.169674\pi\) |
−0.687067 | + | 0.726594i | \(0.741102\pi\) | |||||||
\(930\) | −1.59559 | − | 2.00080i | −0.0523213 | − | 0.0656088i | ||||
\(931\) | 1.45967 | + | 0.702940i | 0.0478388 | + | 0.0230379i | ||||
\(932\) | 0.0927117 | − | 0.406196i | 0.00303687 | − | 0.0133054i | ||||
\(933\) | 7.01382 | − | 8.79505i | 0.229622 | − | 0.287937i | ||||
\(934\) | 0.284902 | − | 1.24824i | 0.00932227 | − | 0.0408435i | ||||
\(935\) | 12.5737 | − | 6.05515i | 0.411202 | − | 0.198025i | ||||
\(936\) | 2.84794 | + | 3.57121i | 0.0930879 | + | 0.116729i | ||||
\(937\) | −29.9829 | + | 14.4390i | −0.979498 | + | 0.471701i | −0.853932 | − | 0.520384i | \(-0.825789\pi\) |
−0.125566 | + | 0.992085i | \(0.540075\pi\) | |||||||
\(938\) | −20.0008 | + | 25.0803i | −0.653051 | + | 0.818900i | ||||
\(939\) | −71.9325 | −2.34743 | ||||||||
\(940\) | 10.8169 | 0.352807 | ||||||||
\(941\) | 27.5606 | − | 34.5599i | 0.898450 | − | 1.12662i | −0.0929393 | − | 0.995672i | \(-0.529626\pi\) |
0.991389 | − | 0.130949i | \(-0.0418023\pi\) | |||||||
\(942\) | 24.5048 | + | 11.8009i | 0.798411 | + | 0.384495i | ||||
\(943\) | −0.715714 | − | 3.13575i | −0.0233068 | − | 0.102114i | ||||
\(944\) | 0.452638 | − | 1.98314i | 0.0147321 | − | 0.0645456i | ||||
\(945\) | −2.98526 | −0.0971104 | ||||||||
\(946\) | −9.55773 | − | 15.2007i | −0.310749 | − | 0.494216i | ||||
\(947\) | 18.1849 | 0.590931 | 0.295465 | − | 0.955353i | \(-0.404525\pi\) | ||||
0.295465 | + | 0.955353i | \(0.404525\pi\) | |||||||
\(948\) | −2.89721 | + | 12.6935i | −0.0940969 | + | 0.412265i | ||||
\(949\) | 1.98509 | + | 8.69725i | 0.0644388 | + | 0.282325i | ||||
\(950\) | 2.36400 | + | 1.13844i | 0.0766982 | + | 0.0369359i | ||||
\(951\) | −41.9872 | + | 52.6502i | −1.36153 | + | 1.70730i | ||||
\(952\) | −12.8759 | −0.417311 | ||||||||
\(953\) | 49.5960 | 1.60657 | 0.803285 | − | 0.595594i | \(-0.203083\pi\) | ||||
0.803285 | + | 0.595594i | \(0.203083\pi\) | |||||||
\(954\) | −1.51423 | + | 1.89878i | −0.0490248 | + | 0.0614752i | ||||
\(955\) | −16.9791 | + | 8.17672i | −0.549432 | + | 0.264592i | ||||
\(956\) | 14.0354 | + | 17.5998i | 0.453936 | + | 0.569218i | ||||
\(957\) | −12.7169 | + | 6.12414i | −0.411079 | + | 0.197965i | ||||
\(958\) | −2.33781 | + | 10.2426i | −0.0755312 | + | 0.330924i | ||||
\(959\) | −1.26175 | + | 1.58219i | −0.0407441 | + | 0.0510915i | ||||
\(960\) | 0.565778 | − | 2.47884i | 0.0182604 | − | 0.0800041i | ||||
\(961\) | 27.0173 | + | 13.0109i | 0.871526 | + | 0.419705i | ||||
\(962\) | 3.62356 | + | 4.54380i | 0.116828 | + | 0.146498i | ||||
\(963\) | −30.2364 | − | 37.9153i | −0.974355 | − | 1.22180i | ||||
\(964\) | 4.49721 | + | 19.7036i | 0.144845 | + | 0.634609i | ||||
\(965\) | −0.0264012 | − | 0.0127142i | −0.000849885 | − | 0.000409283i | ||||
\(966\) | −9.25621 | + | 4.45756i | −0.297814 | + | 0.143419i | ||||
\(967\) | 4.46991 | + | 19.5840i | 0.143743 | + | 0.629778i | 0.994546 | + | 0.104294i | \(0.0332584\pi\) |
−0.850804 | + | 0.525484i | \(0.823884\pi\) | |||||||
\(968\) | −0.779286 | − | 3.41427i | −0.0250472 | − | 0.109739i | ||||
\(969\) | 30.6340 | − | 14.7526i | 0.984106 | − | 0.473920i | ||||
\(970\) | −11.5677 | − | 5.57073i | −0.371417 | − | 0.178865i | ||||
\(971\) | −4.77770 | − | 20.9325i | −0.153324 | − | 0.671756i | −0.991905 | − | 0.126979i | \(-0.959472\pi\) |
0.838581 | − | 0.544776i | \(-0.183385\pi\) | |||||||
\(972\) | 13.9251 | + | 17.4615i | 0.446648 | + | 0.560078i | ||||
\(973\) | 29.2571 | + | 36.6872i | 0.937938 | + | 1.17614i | ||||
\(974\) | −17.6004 | − | 8.47589i | −0.563952 | − | 0.271585i | ||||
\(975\) | −0.745895 | + | 3.26798i | −0.0238878 | + | 0.104659i | ||||
\(976\) | 8.49723 | − | 10.6552i | 0.271990 | − | 0.341064i | ||||
\(977\) | 9.57207 | − | 41.9380i | 0.306238 | − | 1.34172i | −0.554295 | − | 0.832320i | \(-0.687012\pi\) |
0.860533 | − | 0.509395i | \(-0.170131\pi\) | |||||||
\(978\) | −28.9557 | + | 13.9443i | −0.925902 | + | 0.445891i | ||||
\(979\) | 3.99955 | + | 5.01528i | 0.127826 | + | 0.160289i | ||||
\(980\) | 0.556311 | − | 0.267905i | 0.0177707 | − | 0.00855792i | ||||
\(981\) | 14.7955 | − | 18.5530i | 0.472384 | − | 0.592351i | ||||
\(982\) | 23.4504 | 0.748331 | ||||||||
\(983\) | 0.277731 | 0.00885824 | 0.00442912 | − | 0.999990i | \(-0.498590\pi\) | ||||
0.00442912 | + | 0.999990i | \(0.498590\pi\) | |||||||
\(984\) | 3.18803 | − | 3.99766i | 0.101631 | − | 0.127441i | ||||
\(985\) | 14.6493 | + | 7.05471i | 0.466764 | + | 0.224782i | ||||
\(986\) | 2.29921 | + | 10.0735i | 0.0732216 | + | 0.320805i | ||||
\(987\) | 15.4613 | − | 67.7402i | 0.492137 | − | 2.15619i | ||||
\(988\) | −3.45914 | −0.110050 | ||||||||
\(989\) | −7.41373 | + | 7.41829i | −0.235743 | + | 0.235888i | ||||
\(990\) | 9.48726 | 0.301525 | ||||||||
\(991\) | 6.48060 | − | 28.3934i | 0.205863 | − | 0.901946i | −0.761423 | − | 0.648256i | \(-0.775499\pi\) |
0.967286 | − | 0.253690i | \(-0.0816442\pi\) | |||||||
\(992\) | −0.223968 | − | 0.981268i | −0.00711099 | − | 0.0311553i | ||||
\(993\) | −27.3515 | − | 13.1718i | −0.867972 | − | 0.417993i | ||||
\(994\) | −11.9629 | + | 15.0010i | −0.379440 | + | 0.475803i | ||||
\(995\) | 25.4065 | 0.805439 | ||||||||
\(996\) | −19.1535 | −0.606900 | ||||||||
\(997\) | −17.2165 | + | 21.5888i | −0.545253 | + | 0.683726i | −0.975755 | − | 0.218864i | \(-0.929765\pi\) |
0.430502 | + | 0.902589i | \(0.358336\pi\) | |||||||
\(998\) | −8.29609 | + | 3.99518i | −0.262608 | + | 0.126465i | ||||
\(999\) | −3.24780 | − | 4.07261i | −0.102756 | − | 0.128852i |
(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 | 430.2.k.c.121.3 | ✓ | 18 | |
43.16 | even | 7 | inner | 430.2.k.c.231.3 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.k.c.121.3 | ✓ | 18 | 1.1 | even | 1 | trivial | |
430.2.k.c.231.3 | yes | 18 | 43.16 | even | 7 | inner |