Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(21,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([15, 58]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cd (of order \(60\), degree \(16\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 21.18 | ||
Character | \(\chi\) | \(=\) | 403.21 |
Dual form | 403.2.cd.a.96.18 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{29}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0348740 | − | 0.220186i | −0.0246596 | − | 0.155695i | 0.972286 | − | 0.233795i | \(-0.0751145\pi\) |
−0.996945 | + | 0.0781004i | \(0.975115\pi\) | |||||||
\(3\) | −1.73304 | + | 0.182150i | −1.00057 | + | 0.105164i | −0.590625 | − | 0.806946i | \(-0.701119\pi\) |
−0.409945 | + | 0.912110i | \(0.634452\pi\) | |||||||
\(4\) | 1.85485 | − | 0.602676i | 0.927424 | − | 0.301338i | ||||
\(5\) | 0.939504 | − | 3.50628i | 0.420159 | − | 1.56805i | −0.354114 | − | 0.935202i | \(-0.615218\pi\) |
0.774273 | − | 0.632852i | \(-0.218116\pi\) | |||||||
\(6\) | 0.100545 | + | 0.375238i | 0.0410472 | + | 0.153190i | ||||
\(7\) | 3.04041 | − | 1.97447i | 1.14917 | − | 0.746278i | 0.177848 | − | 0.984058i | \(-0.443086\pi\) |
0.971319 | + | 0.237780i | \(0.0764197\pi\) | |||||||
\(8\) | −0.399803 | − | 0.784658i | −0.141352 | − | 0.277418i | ||||
\(9\) | 0.0357975 | − | 0.00760900i | 0.0119325 | − | 0.00253633i | ||||
\(10\) | −0.804796 | − | 0.0845874i | −0.254499 | − | 0.0267489i | ||||
\(11\) | −4.81075 | + | 0.252121i | −1.45050 | + | 0.0760173i | −0.761226 | − | 0.648487i | \(-0.775402\pi\) |
−0.689271 | + | 0.724504i | \(0.742069\pi\) | |||||||
\(12\) | −3.10474 | + | 1.38232i | −0.896262 | + | 0.399042i | ||||
\(13\) | −0.0650947 | + | 3.60496i | −0.0180540 | + | 0.999837i | ||||
\(14\) | −0.540780 | − | 0.600597i | −0.144530 | − | 0.160516i | ||||
\(15\) | −0.989528 | + | 6.24764i | −0.255495 | + | 1.61313i | ||||
\(16\) | 2.99683 | − | 2.17732i | 0.749207 | − | 0.544331i | ||||
\(17\) | −2.63044 | − | 2.92140i | −0.637975 | − | 0.708543i | 0.334278 | − | 0.942475i | \(-0.391508\pi\) |
−0.972253 | + | 0.233931i | \(0.924841\pi\) | |||||||
\(18\) | −0.00292379 | − | 0.00761674i | −0.000689145 | − | 0.00179528i | ||||
\(19\) | 2.37604 | + | 0.912078i | 0.545102 | + | 0.209245i | 0.615307 | − | 0.788288i | \(-0.289032\pi\) |
−0.0702051 | + | 0.997533i | \(0.522365\pi\) | |||||||
\(20\) | −0.370514 | − | 7.06982i | −0.0828494 | − | 1.58086i | ||||
\(21\) | −4.90950 | + | 3.97563i | −1.07134 | + | 0.867554i | ||||
\(22\) | 0.223284 | + | 1.05047i | 0.0476042 | + | 0.223960i | ||||
\(23\) | −0.822757 | + | 2.53219i | −0.171557 | + | 0.527997i | −0.999459 | − | 0.0328744i | \(-0.989534\pi\) |
0.827903 | + | 0.560872i | \(0.189534\pi\) | |||||||
\(24\) | 0.835799 | + | 1.28702i | 0.170607 | + | 0.262711i | ||||
\(25\) | −7.08117 | − | 4.08832i | −1.41623 | − | 0.817663i | ||||
\(26\) | 0.796031 | − | 0.111387i | 0.156115 | − | 0.0218447i | ||||
\(27\) | 4.91123 | − | 1.59576i | 0.945167 | − | 0.307103i | ||||
\(28\) | 4.44953 | − | 5.49472i | 0.840883 | − | 1.03840i | ||||
\(29\) | 5.07200 | − | 6.98101i | 0.941846 | − | 1.29634i | −0.0132090 | − | 0.999913i | \(-0.504205\pi\) |
0.955055 | − | 0.296428i | \(-0.0957953\pi\) | |||||||
\(30\) | 1.41015 | 0.257457 | ||||||||
\(31\) | −4.36467 | + | 3.45683i | −0.783918 | + | 0.620865i | ||||
\(32\) | −1.82934 | − | 1.82934i | −0.323385 | − | 0.323385i | ||||
\(33\) | 8.29129 | − | 1.31321i | 1.44333 | − | 0.228601i | ||||
\(34\) | −0.551516 | + | 0.681066i | −0.0945842 | + | 0.116802i | ||||
\(35\) | −4.06654 | − | 12.5155i | −0.687371 | − | 2.11551i | ||||
\(36\) | 0.0618132 | − | 0.0356879i | 0.0103022 | − | 0.00594798i | ||||
\(37\) | −1.11568 | + | 0.298947i | −0.183417 | + | 0.0491465i | −0.349358 | − | 0.936989i | \(-0.613600\pi\) |
0.165941 | + | 0.986136i | \(0.446934\pi\) | |||||||
\(38\) | 0.117964 | − | 0.554979i | 0.0191363 | − | 0.0900294i | ||||
\(39\) | −0.543831 | − | 6.25939i | −0.0870827 | − | 1.00231i | ||||
\(40\) | −3.12684 | + | 0.664631i | −0.494397 | + | 0.105087i | ||||
\(41\) | 1.45700 | − | 1.17985i | 0.227544 | − | 0.184262i | −0.508768 | − | 0.860904i | \(-0.669899\pi\) |
0.736312 | + | 0.676642i | \(0.236565\pi\) | |||||||
\(42\) | 1.04659 | + | 0.942355i | 0.161493 | + | 0.145409i | ||||
\(43\) | 8.13363 | − | 3.62133i | 1.24037 | − | 0.552247i | 0.321536 | − | 0.946897i | \(-0.395801\pi\) |
0.918831 | + | 0.394650i | \(0.129134\pi\) | |||||||
\(44\) | −8.77127 | + | 3.36697i | −1.32232 | + | 0.507590i | ||||
\(45\) | 0.00695266 | − | 0.132665i | 0.00103644 | − | 0.0197765i | ||||
\(46\) | 0.586244 | + | 0.0928519i | 0.0864369 | + | 0.0136903i | ||||
\(47\) | −0.685868 | + | 4.33040i | −0.100044 | + | 0.631654i | 0.885810 | + | 0.464048i | \(0.153604\pi\) |
−0.985854 | + | 0.167606i | \(0.946396\pi\) | |||||||
\(48\) | −4.79702 | + | 4.31925i | −0.692390 | + | 0.623430i | ||||
\(49\) | 2.49843 | − | 5.61156i | 0.356918 | − | 0.801651i | ||||
\(50\) | −0.653240 | + | 1.70175i | −0.0923821 | + | 0.240664i | ||||
\(51\) | 5.09078 | + | 4.58376i | 0.712852 | + | 0.641855i | ||||
\(52\) | 2.05189 | + | 6.72589i | 0.284545 | + | 0.932713i | ||||
\(53\) | 1.60742 | + | 7.56232i | 0.220796 | + | 1.03876i | 0.939262 | + | 0.343202i | \(0.111511\pi\) |
−0.718466 | + | 0.695563i | \(0.755155\pi\) | |||||||
\(54\) | −0.522637 | − | 1.02573i | −0.0711219 | − | 0.139585i | ||||
\(55\) | −3.63572 | + | 17.1047i | −0.490240 | + | 2.30640i | ||||
\(56\) | −2.76485 | − | 1.59628i | −0.369468 | − | 0.213312i | ||||
\(57\) | −4.28391 | − | 1.14787i | −0.567417 | − | 0.152039i | ||||
\(58\) | −1.71400 | − | 0.873326i | −0.225059 | − | 0.114673i | ||||
\(59\) | 4.82139 | + | 3.90428i | 0.627691 | + | 0.508294i | 0.889565 | − | 0.456808i | \(-0.151007\pi\) |
−0.261874 | + | 0.965102i | \(0.584341\pi\) | |||||||
\(60\) | 1.92988 | + | 12.1848i | 0.249146 | + | 1.57305i | ||||
\(61\) | − | 12.0332i | − | 1.54069i | −0.637626 | − | 0.770346i | \(-0.720084\pi\) | ||
0.637626 | − | 0.770346i | \(-0.279916\pi\) | |||||||
\(62\) | 0.913358 | + | 0.840484i | 0.115997 | + | 0.106742i | ||||
\(63\) | 0.0938155 | − | 0.0938155i | 0.0118196 | − | 0.0118196i | ||||
\(64\) | 4.01565 | − | 5.52706i | 0.501956 | − | 0.690883i | ||||
\(65\) | 12.5788 | + | 3.61512i | 1.56021 | + | 0.448400i | ||||
\(66\) | −0.578301 | − | 1.77983i | −0.0711839 | − | 0.219082i | ||||
\(67\) | −1.31049 | + | 4.89081i | −0.160102 | + | 0.597508i | 0.838513 | + | 0.544882i | \(0.183426\pi\) |
−0.998614 | + | 0.0526256i | \(0.983241\pi\) | |||||||
\(68\) | −6.63972 | − | 3.83344i | −0.805184 | − | 0.464873i | ||||
\(69\) | 0.964632 | − | 4.53824i | 0.116128 | − | 0.546340i | ||||
\(70\) | −2.61393 | + | 1.33186i | −0.312424 | + | 0.159188i | ||||
\(71\) | 3.88669 | + | 2.52404i | 0.461265 | + | 0.299549i | 0.754273 | − | 0.656561i | \(-0.227990\pi\) |
−0.293008 | + | 0.956110i | \(0.594656\pi\) | |||||||
\(72\) | −0.0202824 | − | 0.0250467i | −0.00239031 | − | 0.00295178i | ||||
\(73\) | −7.70478 | + | 0.403790i | −0.901776 | + | 0.0472601i | −0.497586 | − | 0.867415i | \(-0.665780\pi\) |
−0.404190 | + | 0.914675i | \(0.632447\pi\) | |||||||
\(74\) | 0.104732 | + | 0.235232i | 0.0121749 | + | 0.0273452i | ||||
\(75\) | 13.0166 | + | 5.79537i | 1.50303 | + | 0.669192i | ||||
\(76\) | 4.95689 | + | 0.259779i | 0.568594 | + | 0.0297987i | ||||
\(77\) | −14.1289 | + | 10.2652i | −1.61013 | + | 1.16983i | ||||
\(78\) | −1.35926 | + | 0.338034i | −0.153906 | + | 0.0382748i | ||||
\(79\) | 11.5871 | − | 10.4330i | 1.30365 | − | 1.17381i | 0.330451 | − | 0.943823i | \(-0.392799\pi\) |
0.973194 | − | 0.229984i | \(-0.0738674\pi\) | |||||||
\(80\) | −4.81876 | − | 12.5533i | −0.538754 | − | 1.40350i | ||||
\(81\) | −8.32099 | + | 3.70474i | −0.924554 | + | 0.411638i | ||||
\(82\) | −0.310598 | − | 0.279663i | −0.0342998 | − | 0.0308837i | ||||
\(83\) | 5.83116 | + | 7.20089i | 0.640053 | + | 0.790400i | 0.989185 | − | 0.146674i | \(-0.0468567\pi\) |
−0.349132 | + | 0.937074i | \(0.613523\pi\) | |||||||
\(84\) | −6.71035 | + | 10.3330i | −0.732159 | + | 1.12743i | ||||
\(85\) | −12.7145 | + | 6.47838i | −1.37908 | + | 0.702679i | ||||
\(86\) | −1.08102 | − | 1.66462i | −0.116569 | − | 0.179501i | ||||
\(87\) | −7.51837 | + | 13.0222i | −0.806054 | + | 1.39613i | ||||
\(88\) | 2.12118 | + | 3.67400i | 0.226119 | + | 0.391649i | ||||
\(89\) | 1.69315 | − | 3.32299i | 0.179473 | − | 0.352236i | −0.783691 | − | 0.621151i | \(-0.786665\pi\) |
0.963164 | + | 0.268915i | \(0.0866652\pi\) | |||||||
\(90\) | −0.0294533 | + | 0.00309567i | −0.00310465 | + | 0.000326312i | ||||
\(91\) | 6.91996 | + | 11.0891i | 0.725409 | + | 1.16245i | ||||
\(92\) | 5.19267i | 0.541374i | ||||||||
\(93\) | 6.93447 | − | 6.78584i | 0.719071 | − | 0.703659i | ||||
\(94\) | 0.977411 | 0.100812 | ||||||||
\(95\) | 5.43030 | − | 7.47416i | 0.557137 | − | 0.766833i | ||||
\(96\) | 3.50353 | + | 2.83710i | 0.357578 | + | 0.289561i | ||||
\(97\) | −1.82093 | + | 3.57377i | −0.184887 | + | 0.362861i | −0.964783 | − | 0.263048i | \(-0.915272\pi\) |
0.779896 | + | 0.625910i | \(0.215272\pi\) | |||||||
\(98\) | −1.32271 | − | 0.354420i | −0.133614 | − | 0.0358019i | ||||
\(99\) | −0.170295 | + | 0.0456303i | −0.0171153 | + | 0.00458602i | ||||
\(100\) | −15.5984 | − | 3.31555i | −1.55984 | − | 0.331555i | ||||
\(101\) | −6.86788 | − | 2.23151i | −0.683380 | − | 0.222044i | −0.0533053 | − | 0.998578i | \(-0.516976\pi\) |
−0.630075 | + | 0.776535i | \(0.716976\pi\) | |||||||
\(102\) | 0.831742 | − | 1.28077i | 0.0823548 | − | 0.126815i | ||||
\(103\) | −6.32933 | − | 0.665240i | −0.623648 | − | 0.0655480i | −0.212566 | − | 0.977147i | \(-0.568182\pi\) |
−0.411081 | + | 0.911599i | \(0.634849\pi\) | |||||||
\(104\) | 2.85469 | − | 1.39020i | 0.279925 | − | 0.136320i | ||||
\(105\) | 9.32717 | + | 20.9492i | 0.910239 | + | 2.04443i | ||||
\(106\) | 1.60906 | − | 0.617659i | 0.156285 | − | 0.0599923i | ||||
\(107\) | 7.78669 | + | 8.64799i | 0.752768 | + | 0.836033i | 0.990816 | − | 0.135220i | \(-0.0431742\pi\) |
−0.238048 | + | 0.971253i | \(0.576508\pi\) | |||||||
\(108\) | 8.14786 | − | 5.91977i | 0.784029 | − | 0.569630i | ||||
\(109\) | 8.75118 | + | 1.38605i | 0.838211 | + | 0.132760i | 0.560758 | − | 0.827980i | \(-0.310510\pi\) |
0.277453 | + | 0.960739i | \(0.410510\pi\) | |||||||
\(110\) | 3.89300 | + | 0.204023i | 0.371183 | + | 0.0194529i | ||||
\(111\) | 1.87907 | − | 0.721307i | 0.178353 | − | 0.0684634i | ||||
\(112\) | 4.81254 | − | 12.5371i | 0.454742 | − | 1.18464i | ||||
\(113\) | 6.97079 | − | 7.74184i | 0.655756 | − | 0.728291i | −0.319935 | − | 0.947439i | \(-0.603661\pi\) |
0.975692 | + | 0.219148i | \(0.0703278\pi\) | |||||||
\(114\) | −0.103348 | + | 0.983286i | −0.00967938 | + | 0.0920932i | ||||
\(115\) | 8.10556 | + | 5.26381i | 0.755847 | + | 0.490853i | ||||
\(116\) | 5.20049 | − | 16.0055i | 0.482854 | − | 1.48607i | ||||
\(117\) | 0.0250999 | + | 0.129544i | 0.00232049 | + | 0.0119764i | ||||
\(118\) | 0.691526 | − | 1.19776i | 0.0636601 | − | 0.110263i | ||||
\(119\) | −13.7658 | − | 3.68854i | −1.26191 | − | 0.338128i | ||||
\(120\) | 5.29787 | − | 1.72138i | 0.483627 | − | 0.157140i | ||||
\(121\) | 12.1400 | − | 1.27597i | 1.10364 | − | 0.115997i | ||||
\(122\) | −2.64954 | + | 0.419645i | −0.239878 | + | 0.0379929i | ||||
\(123\) | −2.31012 | + | 2.31012i | −0.208296 | + | 0.208296i | ||||
\(124\) | −6.01244 | + | 9.04237i | −0.539933 | + | 0.812029i | ||||
\(125\) | −8.15370 | + | 8.15370i | −0.729289 | + | 0.729289i | ||||
\(126\) | −0.0239285 | − | 0.0173851i | −0.00213172 | − | 0.00154879i | ||||
\(127\) | 1.59274 | + | 15.1539i | 0.141333 | + | 1.34470i | 0.803485 | + | 0.595325i | \(0.202977\pi\) |
−0.662152 | + | 0.749370i | \(0.730356\pi\) | |||||||
\(128\) | −5.96723 | − | 3.04046i | −0.527434 | − | 0.268741i | ||||
\(129\) | −13.4363 | + | 7.75743i | −1.18300 | + | 0.683004i | ||||
\(130\) | 0.357323 | − | 2.89575i | 0.0313393 | − | 0.253974i | ||||
\(131\) | −13.3291 | − | 2.83318i | −1.16456 | − | 0.247536i | −0.415223 | − | 0.909720i | \(-0.636297\pi\) |
−0.749342 | + | 0.662184i | \(0.769630\pi\) | |||||||
\(132\) | 14.5876 | − | 7.43277i | 1.26969 | − | 0.646940i | ||||
\(133\) | 9.02502 | − | 1.91833i | 0.782568 | − | 0.166340i | ||||
\(134\) | 1.12259 | + | 0.117989i | 0.0969769 | + | 0.0101927i | ||||
\(135\) | −0.981040 | − | 18.7194i | −0.0844345 | − | 1.61111i | ||||
\(136\) | −1.24064 | + | 3.23198i | −0.106384 | + | 0.277140i | ||||
\(137\) | −0.257617 | − | 0.671115i | −0.0220097 | − | 0.0573373i | 0.922135 | − | 0.386868i | \(-0.126443\pi\) |
−0.944145 | + | 0.329530i | \(0.893110\pi\) | |||||||
\(138\) | −1.03290 | − | 0.0541318i | −0.0879259 | − | 0.00460800i | ||||
\(139\) | 7.69876 | + | 10.5964i | 0.653001 | + | 0.898778i | 0.999225 | − | 0.0393736i | \(-0.0125362\pi\) |
−0.346224 | + | 0.938152i | \(0.612536\pi\) | |||||||
\(140\) | −15.0856 | − | 20.7636i | −1.27497 | − | 1.75484i | ||||
\(141\) | 0.399854 | − | 7.62967i | 0.0336738 | − | 0.642534i | ||||
\(142\) | 0.420214 | − | 0.943816i | 0.0352636 | − | 0.0792033i | ||||
\(143\) | −0.595732 | − | 17.3590i | −0.0498176 | − | 1.45163i | ||||
\(144\) | 0.0907117 | − | 0.100746i | 0.00755931 | − | 0.00839547i | ||||
\(145\) | −19.7122 | − | 24.3425i | −1.63701 | − | 2.02153i | ||||
\(146\) | 0.357605 | + | 1.68240i | 0.0295956 | + | 0.139236i | ||||
\(147\) | −3.30772 | + | 10.1801i | −0.272816 | + | 0.839643i | ||||
\(148\) | −1.88926 | + | 1.22690i | −0.155296 | + | 0.100850i | ||||
\(149\) | 19.7362 | − | 5.28831i | 1.61686 | − | 0.433235i | 0.666781 | − | 0.745254i | \(-0.267672\pi\) |
0.950076 | + | 0.312019i | \(0.101005\pi\) | |||||||
\(150\) | 0.822117 | − | 3.06818i | 0.0671256 | − | 0.250516i | ||||
\(151\) | −1.44140 | + | 2.82890i | −0.117299 | + | 0.230213i | −0.942190 | − | 0.335080i | \(-0.891237\pi\) |
0.824891 | + | 0.565293i | \(0.191237\pi\) | |||||||
\(152\) | −0.234281 | − | 2.22903i | −0.0190027 | − | 0.180798i | ||||
\(153\) | −0.116392 | − | 0.0845638i | −0.00940974 | − | 0.00683658i | ||||
\(154\) | 2.75298 | + | 2.75298i | 0.221842 | + | 0.221842i | ||||
\(155\) | 8.01997 | + | 18.5514i | 0.644180 | + | 1.49009i | ||||
\(156\) | −4.78111 | − | 11.2825i | −0.382795 | − | 0.903320i | ||||
\(157\) | 14.8047 | + | 10.7563i | 1.18155 | + | 0.858443i | 0.992345 | − | 0.123496i | \(-0.0394105\pi\) |
0.189200 | + | 0.981939i | \(0.439410\pi\) | |||||||
\(158\) | −2.70129 | − | 2.18746i | −0.214903 | − | 0.174025i | ||||
\(159\) | −4.16319 | − | 12.8130i | −0.330163 | − | 1.01614i | ||||
\(160\) | −8.13285 | + | 4.69550i | −0.642958 | + | 0.371212i | ||||
\(161\) | 2.49820 | + | 9.32339i | 0.196885 | + | 0.734786i | ||||
\(162\) | 1.10592 | + | 1.70296i | 0.0868890 | + | 0.133797i | ||||
\(163\) | 2.43435 | + | 4.77769i | 0.190673 | + | 0.374217i | 0.966476 | − | 0.256759i | \(-0.0826546\pi\) |
−0.775802 | + | 0.630976i | \(0.782655\pi\) | |||||||
\(164\) | 1.99144 | − | 3.06654i | 0.155505 | − | 0.239457i | ||||
\(165\) | 3.18522 | − | 30.3053i | 0.247969 | − | 2.35927i | ||||
\(166\) | 1.38218 | − | 1.53506i | 0.107278 | − | 0.119144i | ||||
\(167\) | −7.18065 | − | 2.75639i | −0.555656 | − | 0.213296i | 0.0643034 | − | 0.997930i | \(-0.479517\pi\) |
−0.619959 | + | 0.784634i | \(0.712851\pi\) | |||||||
\(168\) | 5.08234 | + | 2.26281i | 0.392111 | + | 0.174579i | ||||
\(169\) | −12.9915 | − | 0.469328i | −0.999348 | − | 0.0361021i | ||||
\(170\) | 1.86985 | + | 2.57363i | 0.143411 | + | 0.197388i | ||||
\(171\) | 0.0919965 | + | 0.0145708i | 0.00703515 | + | 0.00111426i | ||||
\(172\) | 12.9042 | − | 11.6190i | 0.983933 | − | 0.885937i | ||||
\(173\) | −7.95366 | + | 17.8642i | −0.604706 | + | 1.35819i | 0.308707 | + | 0.951157i | \(0.400104\pi\) |
−0.913413 | + | 0.407034i | \(0.866563\pi\) | |||||||
\(174\) | 3.12950 | + | 1.20130i | 0.237247 | + | 0.0910705i | ||||
\(175\) | −29.6019 | + | 1.55137i | −2.23769 | + | 0.117273i | ||||
\(176\) | −13.8680 | + | 11.2301i | −1.04534 | + | 0.846502i | ||||
\(177\) | −9.06681 | − | 5.88805i | −0.681503 | − | 0.442573i | ||||
\(178\) | −0.790721 | − | 0.256921i | −0.0592671 | − | 0.0192570i | ||||
\(179\) | 12.2816 | + | 2.61054i | 0.917971 | + | 0.195121i | 0.642586 | − | 0.766213i | \(-0.277861\pi\) |
0.275385 | + | 0.961334i | \(0.411195\pi\) | |||||||
\(180\) | −0.0670577 | − | 0.250263i | −0.00499819 | − | 0.0186535i | ||||
\(181\) | −8.32837 | − | 14.4252i | −0.619043 | − | 1.07221i | −0.989661 | − | 0.143428i | \(-0.954187\pi\) |
0.370618 | − | 0.928785i | \(-0.379146\pi\) | |||||||
\(182\) | 2.20033 | − | 1.91040i | 0.163100 | − | 0.141608i | ||||
\(183\) | 2.19184 | + | 20.8540i | 0.162025 | + | 1.54157i | ||||
\(184\) | 2.31584 | − | 0.366793i | 0.170726 | − | 0.0270403i | ||||
\(185\) | 4.19276i | 0.308258i | ||||||||
\(186\) | −1.73598 | − | 1.29022i | −0.127288 | − | 0.0946037i | ||||
\(187\) | 13.3909 | + | 13.3909i | 0.979242 | + | 0.979242i | ||||
\(188\) | 1.33765 | + | 8.44559i | 0.0975581 | + | 0.615958i | ||||
\(189\) | 11.7814 | − | 14.5488i | 0.856971 | − | 1.05827i | ||||
\(190\) | −1.83508 | − | 0.935020i | −0.133131 | − | 0.0678335i | ||||
\(191\) | 4.98197 | + | 8.62902i | 0.360483 | + | 0.624374i | 0.988040 | − | 0.154196i | \(-0.0492787\pi\) |
−0.627558 | + | 0.778570i | \(0.715945\pi\) | |||||||
\(192\) | −5.95251 | + | 10.3101i | −0.429586 | + | 0.744064i | ||||
\(193\) | −8.38824 | + | 5.44738i | −0.603799 | + | 0.392111i | −0.810027 | − | 0.586393i | \(-0.800548\pi\) |
0.206229 | + | 0.978504i | \(0.433881\pi\) | |||||||
\(194\) | 0.850395 | + | 0.276310i | 0.0610548 | + | 0.0198379i | ||||
\(195\) | −22.4581 | − | 3.97390i | −1.60826 | − | 0.284577i | ||||
\(196\) | 1.25225 | − | 11.9143i | 0.0894462 | − | 0.851023i | ||||
\(197\) | 0.0375906 | + | 0.717271i | 0.00267822 | + | 0.0511035i | 0.999642 | − | 0.0267671i | \(-0.00852125\pi\) |
−0.996963 | + | 0.0778706i | \(0.975188\pi\) | |||||||
\(198\) | 0.0159860 | + | 0.0359051i | 0.00113608 | + | 0.00255167i | ||||
\(199\) | −5.26524 | − | 2.34424i | −0.373243 | − | 0.166178i | 0.211538 | − | 0.977370i | \(-0.432153\pi\) |
−0.584781 | + | 0.811191i | \(0.698819\pi\) | |||||||
\(200\) | −0.376855 | + | 7.19082i | −0.0266477 | + | 0.508468i | ||||
\(201\) | 1.38027 | − | 8.71467i | 0.0973566 | − | 0.614685i | ||||
\(202\) | −0.251836 | + | 1.59003i | −0.0177191 | + | 0.111874i | ||||
\(203\) | 1.63720 | − | 31.2396i | 0.114909 | − | 2.19259i | ||||
\(204\) | 12.2051 | + | 5.43408i | 0.854531 | + | 0.380462i | ||||
\(205\) | −2.76803 | − | 6.21710i | −0.193328 | − | 0.434221i | ||||
\(206\) | 0.0742528 | + | 1.41683i | 0.00517344 | + | 0.0987151i | ||||
\(207\) | −0.0101853 | + | 0.0969063i | −0.000707925 | + | 0.00673546i | ||||
\(208\) | 7.65409 | + | 10.9452i | 0.530716 | + | 0.758912i | ||||
\(209\) | −11.6605 | − | 3.78873i | −0.806575 | − | 0.262072i | ||||
\(210\) | 4.28743 | − | 2.78429i | 0.295861 | − | 0.192134i | ||||
\(211\) | −7.39509 | + | 12.8087i | −0.509099 | + | 0.881785i | 0.490846 | + | 0.871247i | \(0.336688\pi\) |
−0.999944 | + | 0.0105384i | \(0.996645\pi\) | |||||||
\(212\) | 7.53915 | + | 13.0582i | 0.517791 | + | 0.896840i | ||||
\(213\) | −7.19553 | − | 3.66630i | −0.493029 | − | 0.251211i | ||||
\(214\) | 1.63261 | − | 2.01611i | 0.111603 | − | 0.137818i | ||||
\(215\) | −5.05579 | − | 31.9210i | −0.344802 | − | 2.17699i | ||||
\(216\) | −3.21565 | − | 3.21565i | −0.218797 | − | 0.218797i | ||||
\(217\) | −6.44499 | + | 19.1281i | −0.437515 | + | 1.29850i | ||||
\(218\) | − | 1.97522i | − | 0.133779i | ||||||
\(219\) | 13.2791 | − | 2.10321i | 0.897320 | − | 0.142122i | ||||
\(220\) | 3.56490 | + | 33.9178i | 0.240346 | + | 2.28673i | ||||
\(221\) | 10.7028 | − | 9.29247i | 0.719946 | − | 0.625079i | ||||
\(222\) | −0.224352 | − | 0.388589i | −0.0150575 | − | 0.0260804i | ||||
\(223\) | −3.13014 | − | 11.6819i | −0.209610 | − | 0.782275i | −0.987995 | − | 0.154488i | \(-0.950627\pi\) |
0.778385 | − | 0.627788i | \(-0.216039\pi\) | |||||||
\(224\) | −9.17393 | − | 1.94998i | −0.612959 | − | 0.130288i | ||||
\(225\) | −0.284596 | − | 0.0924710i | −0.0189731 | − | 0.00616473i | ||||
\(226\) | −1.94774 | − | 1.26488i | −0.129562 | − | 0.0841384i | ||||
\(227\) | 5.03543 | − | 4.07761i | 0.334213 | − | 0.270641i | −0.447493 | − | 0.894287i | \(-0.647683\pi\) |
0.781706 | + | 0.623647i | \(0.214350\pi\) | |||||||
\(228\) | −8.63779 | + | 0.452687i | −0.572052 | + | 0.0299800i | ||||
\(229\) | −15.0684 | − | 5.78424i | −0.995751 | − | 0.382233i | −0.194722 | − | 0.980858i | \(-0.562380\pi\) |
−0.801029 | + | 0.598625i | \(0.795714\pi\) | |||||||
\(230\) | 0.876343 | − | 1.96830i | 0.0577843 | − | 0.129786i | ||||
\(231\) | 22.6160 | − | 20.3636i | 1.48803 | − | 1.33982i | ||||
\(232\) | −7.50550 | − | 1.18875i | −0.492760 | − | 0.0780456i | ||||
\(233\) | 14.5793 | + | 20.0667i | 0.955125 | + | 1.31462i | 0.949213 | + | 0.314634i | \(0.101882\pi\) |
0.00591169 | + | 0.999983i | \(0.498118\pi\) | |||||||
\(234\) | 0.0276484 | − | 0.0100444i | 0.00180743 | − | 0.000656620i | ||||
\(235\) | 14.5392 | + | 6.47327i | 0.948433 | + | 0.422269i | ||||
\(236\) | 11.2960 | + | 4.33611i | 0.735304 | + | 0.282257i | ||||
\(237\) | −18.1804 | + | 20.1914i | −1.18095 | + | 1.31157i | ||||
\(238\) | −0.332095 | + | 3.15967i | −0.0215265 | + | 0.204811i | ||||
\(239\) | −3.42955 | + | 5.28105i | −0.221839 | + | 0.341603i | −0.932014 | − | 0.362423i | \(-0.881949\pi\) |
0.710174 | + | 0.704026i | \(0.248616\pi\) | |||||||
\(240\) | 10.6377 | + | 20.8776i | 0.686659 | + | 1.34764i | ||||
\(241\) | 4.92103 | + | 7.57772i | 0.316991 | + | 0.488124i | 0.960868 | − | 0.277005i | \(-0.0893419\pi\) |
−0.643877 | + | 0.765129i | \(0.722675\pi\) | |||||||
\(242\) | −0.704322 | − | 2.62856i | −0.0452755 | − | 0.168971i | ||||
\(243\) | 0.329357 | − | 0.190154i | 0.0211283 | − | 0.0121984i | ||||
\(244\) | −7.25212 | − | 22.3197i | −0.464269 | − | 1.42887i | ||||
\(245\) | −17.3284 | − | 14.0323i | −1.10707 | − | 0.896488i | ||||
\(246\) | 0.589218 | + | 0.428092i | 0.0375672 | + | 0.0272941i | ||||
\(247\) | −3.44268 | + | 8.50618i | −0.219052 | + | 0.541235i | ||||
\(248\) | 4.45744 | + | 2.04272i | 0.283047 | + | 0.129713i | ||||
\(249\) | −11.4173 | − | 11.4173i | −0.723540 | − | 0.723540i | ||||
\(250\) | 2.07968 | + | 1.51098i | 0.131530 | + | 0.0955625i | ||||
\(251\) | −1.96930 | − | 18.7366i | −0.124301 | − | 1.18264i | −0.861783 | − | 0.507277i | \(-0.830652\pi\) |
0.737482 | − | 0.675367i | \(-0.236015\pi\) | |||||||
\(252\) | 0.117473 | − | 0.230554i | 0.00740010 | − | 0.0145235i | ||||
\(253\) | 3.31966 | − | 12.3892i | 0.208705 | − | 0.778900i | ||||
\(254\) | 3.28114 | − | 0.879178i | 0.205877 | − | 0.0551645i | ||||
\(255\) | 20.8547 | − | 13.5432i | 1.30597 | − | 0.848109i | ||||
\(256\) | 3.76094 | − | 11.5750i | 0.235059 | − | 0.723436i | ||||
\(257\) | −4.13090 | − | 19.4344i | −0.257679 | − | 1.21228i | −0.896541 | − | 0.442961i | \(-0.853928\pi\) |
0.638862 | − | 0.769321i | \(-0.279405\pi\) | |||||||
\(258\) | 2.17665 | + | 2.68794i | 0.135512 | + | 0.167344i | ||||
\(259\) | −2.80188 | + | 3.11180i | −0.174100 | + | 0.193358i | ||||
\(260\) | 25.5106 | − | 0.875481i | 1.58210 | − | 0.0542950i | ||||
\(261\) | 0.128446 | − | 0.288496i | 0.00795064 | − | 0.0178574i | ||||
\(262\) | −0.158988 | + | 3.03367i | −0.00982231 | + | 0.187421i | ||||
\(263\) | −1.23996 | − | 1.70666i | −0.0764593 | − | 0.105237i | 0.769074 | − | 0.639159i | \(-0.220718\pi\) |
−0.845534 | + | 0.533922i | \(0.820718\pi\) | |||||||
\(264\) | −4.34531 | − | 5.98080i | −0.267435 | − | 0.368093i | ||||
\(265\) | 28.0257 | + | 1.46877i | 1.72161 | + | 0.0902256i | ||||
\(266\) | −0.737126 | − | 1.92028i | −0.0451961 | − | 0.117740i | ||||
\(267\) | −2.32901 | + | 6.06727i | −0.142533 | + | 0.371311i | ||||
\(268\) | 0.516820 | + | 9.86151i | 0.0315698 | + | 0.602388i | ||||
\(269\) | 11.5596 | + | 1.21496i | 0.704802 | + | 0.0740777i | 0.450147 | − | 0.892954i | \(-0.351371\pi\) |
0.254655 | + | 0.967032i | \(0.418038\pi\) | |||||||
\(270\) | −4.08752 | + | 0.868829i | −0.248759 | + | 0.0528753i | ||||
\(271\) | −0.587874 | + | 0.299537i | −0.0357108 | + | 0.0181956i | −0.471755 | − | 0.881730i | \(-0.656379\pi\) |
0.436044 | + | 0.899925i | \(0.356379\pi\) | |||||||
\(272\) | −14.2438 | − | 3.02761i | −0.863657 | − | 0.183576i | ||||
\(273\) | −14.0124 | − | 17.9574i | −0.848071 | − | 1.08683i | ||||
\(274\) | −0.138786 | + | 0.0801280i | −0.00838436 | + | 0.00484071i | ||||
\(275\) | 35.0965 | + | 17.8826i | 2.11640 | + | 1.07836i | ||||
\(276\) | −0.945844 | − | 8.99910i | −0.0569331 | − | 0.541682i | ||||
\(277\) | −19.9841 | − | 14.5193i | −1.20073 | − | 0.872382i | −0.206374 | − | 0.978473i | \(-0.566166\pi\) |
−0.994356 | + | 0.106091i | \(0.966166\pi\) | |||||||
\(278\) | 2.06470 | − | 2.06470i | 0.123832 | − | 0.123832i | ||||
\(279\) | −0.129941 | + | 0.156957i | −0.00777938 | + | 0.00939675i | ||||
\(280\) | −8.19460 | + | 8.19460i | −0.489721 | + | 0.489721i | ||||
\(281\) | −30.1101 | + | 4.76897i | −1.79622 | + | 0.284493i | −0.963207 | − | 0.268762i | \(-0.913385\pi\) |
−0.833012 | + | 0.553255i | \(0.813385\pi\) | |||||||
\(282\) | −1.69389 | + | 0.178035i | −0.100870 | + | 0.0106018i | ||||
\(283\) | 20.9971 | − | 6.82237i | 1.24815 | − | 0.405548i | 0.390891 | − | 0.920437i | \(-0.372167\pi\) |
0.857257 | + | 0.514889i | \(0.172167\pi\) | |||||||
\(284\) | 8.73039 | + | 2.33930i | 0.518053 | + | 0.138812i | ||||
\(285\) | −8.04949 | + | 13.9421i | −0.476811 | + | 0.825861i | ||||
\(286\) | −3.80143 | + | 0.736549i | −0.224783 | + | 0.0435531i | ||||
\(287\) | 2.10029 | − | 6.46402i | 0.123976 | − | 0.381559i | ||||
\(288\) | −0.0794054 | − | 0.0515665i | −0.00467901 | − | 0.00303858i | ||||
\(289\) | 0.161624 | − | 1.53775i | 0.00950732 | − | 0.0904561i | ||||
\(290\) | −4.67243 | + | 5.18926i | −0.274374 | + | 0.304724i | ||||
\(291\) | 2.50477 | − | 6.52515i | 0.146832 | − | 0.382511i | ||||
\(292\) | −14.0478 | + | 5.39246i | −0.822088 | + | 0.315570i | ||||
\(293\) | −27.7543 | − | 1.45454i | −1.62143 | − | 0.0849753i | −0.780154 | − | 0.625587i | \(-0.784859\pi\) |
−0.841272 | + | 0.540612i | \(0.818193\pi\) | |||||||
\(294\) | 2.35687 | + | 0.373292i | 0.137456 | + | 0.0217708i | ||||
\(295\) | 18.2192 | − | 13.2370i | 1.06076 | − | 0.770689i | ||||
\(296\) | 0.680625 | + | 0.755910i | 0.0395605 | + | 0.0439364i | ||||
\(297\) | −23.2244 | + | 8.91502i | −1.34762 | + | 0.517302i | ||||
\(298\) | −1.85269 | − | 4.16121i | −0.107324 | − | 0.241053i | ||||
\(299\) | −9.07488 | − | 3.13084i | −0.524814 | − | 0.181061i | ||||
\(300\) | 27.6366 | + | 2.90472i | 1.59560 | + | 0.167704i | ||||
\(301\) | 17.5794 | − | 27.0699i | 1.01326 | − | 1.56028i | ||||
\(302\) | 0.673151 | + | 0.218720i | 0.0387355 | + | 0.0125859i | ||||
\(303\) | 12.3088 | + | 2.61631i | 0.707120 | + | 0.150303i | ||||
\(304\) | 9.10648 | − | 2.44007i | 0.522293 | − | 0.139948i | ||||
\(305\) | −42.1917 | − | 11.3052i | −2.41589 | − | 0.647335i | ||||
\(306\) | −0.0145607 | + | 0.0285769i | −0.000832379 | + | 0.00163364i | ||||
\(307\) | 8.46209 | + | 6.85246i | 0.482957 | + | 0.391091i | 0.839647 | − | 0.543132i | \(-0.182762\pi\) |
−0.356691 | + | 0.934223i | \(0.616095\pi\) | |||||||
\(308\) | −20.0203 | + | 27.5556i | −1.14076 | + | 1.57012i | ||||
\(309\) | 11.0901 | 0.630896 | ||||||||
\(310\) | 3.80507 | − | 2.41285i | 0.216114 | − | 0.137040i | ||||
\(311\) | − | 21.6668i | − | 1.22861i | −0.789067 | − | 0.614307i | \(-0.789436\pi\) | ||
0.789067 | − | 0.614307i | \(-0.210564\pi\) | |||||||
\(312\) | −4.69406 | + | 2.92925i | −0.265749 | + | 0.165836i | ||||
\(313\) | 10.1577 | − | 1.06761i | 0.574146 | − | 0.0603452i | 0.186994 | − | 0.982361i | \(-0.440126\pi\) |
0.387152 | + | 0.922016i | \(0.373459\pi\) | |||||||
\(314\) | 1.85207 | − | 3.63490i | 0.104519 | − | 0.205129i | ||||
\(315\) | −0.240803 | − | 0.417083i | −0.0135677 | − | 0.0235000i | ||||
\(316\) | 15.2045 | − | 26.3349i | 0.855318 | − | 1.48145i | ||||
\(317\) | 4.10707 | + | 6.32433i | 0.230676 | + | 0.355210i | 0.934987 | − | 0.354682i | \(-0.115411\pi\) |
−0.704311 | + | 0.709891i | \(0.748744\pi\) | |||||||
\(318\) | −2.67605 | + | 1.36352i | −0.150065 | + | 0.0764621i | ||||
\(319\) | −22.6401 | + | 34.8627i | −1.26760 | + | 1.95193i | ||||
\(320\) | −15.6067 | − | 19.2727i | −0.872441 | − | 1.07737i | ||||
\(321\) | −15.0699 | − | 13.5690i | −0.841117 | − | 0.757345i | ||||
\(322\) | 1.96576 | − | 0.875211i | 0.109547 | − | 0.0487736i | ||||
\(323\) | −3.58550 | − | 9.34054i | −0.199502 | − | 0.519721i | ||||
\(324\) | −13.2014 | + | 11.8866i | −0.733411 | + | 0.660366i | ||||
\(325\) | 15.1992 | − | 25.2612i | 0.843099 | − | 1.40124i | ||||
\(326\) | 0.967082 | − | 0.702626i | 0.0535617 | − | 0.0389149i | ||||
\(327\) | −15.4186 | − | 0.808054i | −0.852650 | − | 0.0446855i | ||||
\(328\) | −1.50829 | − | 0.671534i | −0.0832814 | − | 0.0370793i | ||||
\(329\) | 6.46491 | + | 14.5204i | 0.356422 | + | 0.800536i | ||||
\(330\) | −6.78388 | + | 0.355528i | −0.373440 | + | 0.0195712i | ||||
\(331\) | 15.9624 | + | 19.7119i | 0.877371 | + | 1.08346i | 0.995895 | + | 0.0905118i | \(0.0288503\pi\) |
−0.118524 | + | 0.992951i | \(0.537816\pi\) | |||||||
\(332\) | 15.1557 | + | 9.84224i | 0.831779 | + | 0.540163i | ||||
\(333\) | −0.0376640 | + | 0.0191908i | −0.00206398 | + | 0.00105165i | ||||
\(334\) | −0.356501 | + | 1.67720i | −0.0195068 | + | 0.0917725i | ||||
\(335\) | 15.9173 | + | 9.18987i | 0.869657 | + | 0.502096i | ||||
\(336\) | −6.05668 | + | 22.6038i | −0.330419 | + | 1.23314i | ||||
\(337\) | −4.02024 | − | 12.3730i | −0.218996 | − | 0.674002i | −0.998846 | − | 0.0480345i | \(-0.984704\pi\) |
0.779849 | − | 0.625967i | \(-0.215296\pi\) | |||||||
\(338\) | 0.349727 | + | 2.87691i | 0.0190226 | + | 0.156484i | ||||
\(339\) | −10.6705 | + | 14.6866i | −0.579540 | + | 0.797668i | ||||
\(340\) | −19.6792 | + | 19.6792i | −1.06725 | + | 1.06725i | ||||
\(341\) | 20.1258 | − | 17.7304i | 1.08987 | − | 0.960154i | ||||
\(342\) | − | 0.0207644i | − | 0.00112281i | ||||||
\(343\) | 0.486238 | + | 3.06999i | 0.0262544 | + | 0.165764i | ||||
\(344\) | −6.09335 | − | 4.93430i | −0.328532 | − | 0.266040i | ||||
\(345\) | −15.0060 | − | 7.64596i | −0.807898 | − | 0.411645i | ||||
\(346\) | 4.21082 | + | 1.12829i | 0.226375 | + | 0.0606570i | ||||
\(347\) | 3.47045 | + | 2.00367i | 0.186304 | + | 0.107562i | 0.590251 | − | 0.807220i | \(-0.299029\pi\) |
−0.403947 | + | 0.914782i | \(0.632362\pi\) | |||||||
\(348\) | −6.09726 | + | 28.6854i | −0.326847 | + | 1.53770i | ||||
\(349\) | 7.75959 | + | 15.2291i | 0.415361 | + | 0.815193i | 0.999992 | + | 0.00389331i | \(0.00123928\pi\) |
−0.584631 | + | 0.811299i | \(0.698761\pi\) | |||||||
\(350\) | 1.37393 | + | 6.46382i | 0.0734395 | + | 0.345505i | ||||
\(351\) | 5.43295 | + | 17.8087i | 0.289989 | + | 0.950558i | ||||
\(352\) | 9.26173 | + | 8.33930i | 0.493652 | + | 0.444486i | ||||
\(353\) | −11.4075 | + | 29.7176i | −0.607162 | + | 1.58171i | 0.192524 | + | 0.981292i | \(0.438333\pi\) |
−0.799686 | + | 0.600418i | \(0.795001\pi\) | |||||||
\(354\) | −0.980269 | + | 2.20172i | −0.0521007 | + | 0.117020i | ||||
\(355\) | 12.5015 | − | 11.2564i | 0.663513 | − | 0.597430i | ||||
\(356\) | 1.13784 | − | 7.18406i | 0.0603056 | − | 0.380754i | ||||
\(357\) | 24.5285 | + | 3.88494i | 1.29819 | + | 0.205613i | ||||
\(358\) | 0.146494 | − | 2.79527i | 0.00774246 | − | 0.147735i | ||||
\(359\) | −9.45689 | + | 3.63016i | −0.499115 | + | 0.191592i | −0.594885 | − | 0.803811i | \(-0.702802\pi\) |
0.0957692 | + | 0.995404i | \(0.469469\pi\) | |||||||
\(360\) | −0.106876 | + | 0.0475843i | −0.00563286 | + | 0.00250791i | ||||
\(361\) | −9.30605 | − | 8.37921i | −0.489792 | − | 0.441011i | ||||
\(362\) | −2.88577 | + | 2.33685i | −0.151673 | + | 0.122822i | ||||
\(363\) | −20.8067 | + | 4.42261i | −1.09207 | + | 0.232127i | ||||
\(364\) | 19.5186 | + | 16.3981i | 1.02305 | + | 0.859493i | ||||
\(365\) | −5.82287 | + | 27.3944i | −0.304783 | + | 1.43389i | ||||
\(366\) | 4.51531 | − | 1.20987i | 0.236019 | − | 0.0632411i | ||||
\(367\) | −29.1027 | + | 16.8025i | −1.51915 | + | 0.877081i | −0.519403 | + | 0.854529i | \(0.673846\pi\) |
−0.999746 | + | 0.0225516i | \(0.992821\pi\) | |||||||
\(368\) | 3.04772 | + | 9.37993i | 0.158874 | + | 0.488963i | ||||
\(369\) | 0.0431793 | − | 0.0533220i | 0.00224783 | − | 0.00277583i | ||||
\(370\) | 0.923185 | − | 0.146218i | 0.0479941 | − | 0.00760152i | ||||
\(371\) | 19.8188 | + | 19.8188i | 1.02894 | + | 1.02894i | ||||
\(372\) | 8.77273 | − | 16.7659i | 0.454845 | − | 0.869273i | ||||
\(373\) | 9.65384 | 0.499857 | 0.249928 | − | 0.968264i | \(-0.419593\pi\) | ||||
0.249928 | + | 0.968264i | \(0.419593\pi\) | |||||||
\(374\) | 2.48150 | − | 3.41549i | 0.128315 | − | 0.176611i | ||||
\(375\) | 12.6455 | − | 15.6159i | 0.653009 | − | 0.806399i | ||||
\(376\) | 3.67209 | − | 1.19314i | 0.189374 | − | 0.0615313i | ||||
\(377\) | 24.8361 | + | 18.7388i | 1.27912 | + | 0.965097i | ||||
\(378\) | −3.61431 | − | 2.08672i | −0.185900 | − | 0.107329i | ||||
\(379\) | −3.91401 | − | 6.02705i | −0.201049 | − | 0.309589i | 0.723737 | − | 0.690076i | \(-0.242423\pi\) |
−0.924786 | + | 0.380487i | \(0.875756\pi\) | |||||||
\(380\) | 5.56787 | − | 17.1361i | 0.285626 | − | 0.879066i | ||||
\(381\) | −5.52057 | − | 25.9722i | −0.282827 | − | 1.33060i | ||||
\(382\) | 1.72625 | − | 1.39789i | 0.0883224 | − | 0.0715221i | ||||
\(383\) | 0.0209813 | + | 0.400346i | 0.00107209 | + | 0.0204567i | 0.999113 | − | 0.0421048i | \(-0.0134064\pi\) |
−0.998041 | + | 0.0625616i | \(0.980073\pi\) | |||||||
\(384\) | 10.8953 | + | 4.18230i | 0.555996 | + | 0.213427i | ||||
\(385\) | 22.7186 | + | 59.1839i | 1.15785 | + | 3.01629i | ||||
\(386\) | 1.49197 | + | 1.65700i | 0.0759391 | + | 0.0843390i | ||||
\(387\) | 0.263609 | − | 0.191523i | 0.0134000 | − | 0.00973568i | ||||
\(388\) | −1.22371 | + | 7.72622i | −0.0621246 | + | 0.392239i | ||||
\(389\) | 12.6588 | + | 14.0590i | 0.641825 | + | 0.712818i | 0.973014 | − | 0.230746i | \(-0.0741166\pi\) |
−0.331189 | + | 0.943564i | \(0.607450\pi\) | |||||||
\(390\) | −0.0917932 | + | 5.08354i | −0.00464813 | + | 0.257415i | ||||
\(391\) | 9.56174 | − | 4.25716i | 0.483558 | − | 0.215294i | ||||
\(392\) | −5.40203 | + | 0.283108i | −0.272844 | + | 0.0142991i | ||||
\(393\) | 23.6158 | + | 2.48212i | 1.19126 | + | 0.125206i | ||||
\(394\) | 0.156622 | − | 0.0332910i | 0.00789050 | − | 0.00167718i | ||||
\(395\) | −25.6950 | − | 50.4293i | −1.29286 | − | 2.53737i | ||||
\(396\) | −0.288370 | + | 0.187270i | −0.0144912 | + | 0.00941066i | ||||
\(397\) | 0.733952 | + | 2.73914i | 0.0368360 | + | 0.137474i | 0.981895 | − | 0.189426i | \(-0.0606627\pi\) |
−0.945059 | + | 0.326900i | \(0.893996\pi\) | |||||||
\(398\) | −0.332547 | + | 1.24108i | −0.0166691 | + | 0.0622099i | ||||
\(399\) | −15.2913 | + | 4.96843i | −0.765521 | + | 0.248733i | ||||
\(400\) | −30.1226 | + | 3.16602i | −1.50613 | + | 0.158301i | ||||
\(401\) | 0.569795 | + | 3.59754i | 0.0284542 | + | 0.179653i | 0.997822 | − | 0.0659598i | \(-0.0210109\pi\) |
−0.969368 | + | 0.245613i | \(0.921011\pi\) | |||||||
\(402\) | −1.96698 | −0.0981041 | ||||||||
\(403\) | −12.1776 | − | 15.9595i | −0.606611 | − | 0.794999i | ||||
\(404\) | −14.0838 | −0.700693 | ||||||||
\(405\) | 5.17225 | + | 32.6563i | 0.257011 | + | 1.62270i | ||||
\(406\) | −6.93561 | + | 0.728962i | −0.344209 | + | 0.0361778i | ||||
\(407\) | 5.29191 | − | 1.71945i | 0.262310 | − | 0.0852297i | ||||
\(408\) | 1.56137 | − | 5.82712i | 0.0772995 | − | 0.288486i | ||||
\(409\) | 4.73268 | + | 17.6626i | 0.234016 | + | 0.873360i | 0.978590 | + | 0.205820i | \(0.0659862\pi\) |
−0.744574 | + | 0.667540i | \(0.767347\pi\) | |||||||
\(410\) | −1.27238 | + | 0.826296i | −0.0628386 | + | 0.0408079i | ||||
\(411\) | 0.568703 | + | 1.11614i | 0.0280521 | + | 0.0550553i | ||||
\(412\) | −12.1409 | + | 2.58062i | −0.598138 | + | 0.127138i | ||||
\(413\) | 22.3679 | + | 2.35096i | 1.10065 | + | 0.115683i | ||||
\(414\) | 0.0216926 | − | 0.00113686i | 0.00106613 | − | 5.58736e-5i | ||||
\(415\) | 30.7267 | − | 13.6804i | 1.50831 | − | 0.671545i | ||||
\(416\) | 6.71379 | − | 6.47563i | 0.329171 | − | 0.317494i | ||||
\(417\) | −15.2724 | − | 16.9617i | −0.747892 | − | 0.830618i | ||||
\(418\) | −0.427576 | + | 2.69961i | −0.0209134 | + | 0.132042i | ||||
\(419\) | −4.95897 | + | 3.60291i | −0.242262 | + | 0.176013i | −0.702290 | − | 0.711891i | \(-0.747839\pi\) |
0.460029 | + | 0.887904i | \(0.347839\pi\) | |||||||
\(420\) | 29.9261 | + | 33.2363i | 1.46024 | + | 1.62176i | ||||
\(421\) | −11.8452 | − | 30.8579i | −0.577302 | − | 1.50392i | −0.841938 | − | 0.539574i | \(-0.818585\pi\) |
0.264636 | − | 0.964348i | \(-0.414748\pi\) | |||||||
\(422\) | 3.07818 | + | 1.18160i | 0.149843 | + | 0.0575195i | ||||
\(423\) | 0.00839763 | + | 0.160236i | 0.000408307 | + | 0.00779096i | ||||
\(424\) | 5.29118 | − | 4.28471i | 0.256962 | − | 0.208084i | ||||
\(425\) | 6.68299 | + | 31.4410i | 0.324173 | + | 1.52511i | ||||
\(426\) | −0.556331 | + | 1.71221i | −0.0269543 | + | 0.0829568i | ||||
\(427\) | −23.7591 | − | 36.5858i | −1.14978 | − | 1.77051i | ||||
\(428\) | 19.6551 | + | 11.3479i | 0.950063 | + | 0.548519i | ||||
\(429\) | 4.19436 | + | 29.9753i | 0.202506 | + | 1.44722i | ||||
\(430\) | −6.85223 | + | 2.22643i | −0.330444 | + | 0.107368i | ||||
\(431\) | 13.2668 | − | 16.3831i | 0.639038 | − | 0.789147i | −0.350009 | − | 0.936746i | \(-0.613821\pi\) |
0.989047 | + | 0.147600i | \(0.0471548\pi\) | |||||||
\(432\) | 11.2436 | − | 15.4755i | 0.540960 | − | 0.744568i | ||||
\(433\) | −7.92418 | −0.380812 | −0.190406 | − | 0.981705i | \(-0.560980\pi\) | ||||
−0.190406 | + | 0.981705i | \(0.560980\pi\) | |||||||
\(434\) | 4.43649 | + | 0.752023i | 0.212958 | + | 0.0360983i | ||||
\(435\) | 38.5959 | + | 38.5959i | 1.85053 | + | 1.85053i | ||||
\(436\) | 17.0675 | − | 2.70322i | 0.817383 | − | 0.129461i | ||||
\(437\) | −4.26446 | + | 5.26617i | −0.203997 | + | 0.251915i | ||||
\(438\) | −0.926192 | − | 2.85053i | −0.0442552 | − | 0.136203i | ||||
\(439\) | −18.2272 | + | 10.5235i | −0.869935 | + | 0.502257i | −0.867327 | − | 0.497739i | \(-0.834164\pi\) |
−0.00260838 | + | 0.999997i | \(0.500830\pi\) | |||||||
\(440\) | 14.8749 | − | 3.98572i | 0.709133 | − | 0.190012i | ||||
\(441\) | 0.0467391 | − | 0.219890i | 0.00222567 | − | 0.0104710i | ||||
\(442\) | −2.41932 | − | 2.03253i | −0.115075 | − | 0.0966776i | ||||
\(443\) | −26.2586 | + | 5.58143i | −1.24758 | + | 0.265182i | −0.783938 | − | 0.620839i | \(-0.786792\pi\) |
−0.463645 | + | 0.886021i | \(0.653459\pi\) | |||||||
\(444\) | 3.05067 | − | 2.47038i | 0.144778 | − | 0.117239i | ||||
\(445\) | −10.0606 | − | 9.05860i | −0.476918 | − | 0.429419i | ||||
\(446\) | −2.46302 | + | 1.09661i | −0.116627 | + | 0.0519258i | ||||
\(447\) | −33.2404 | + | 12.7598i | −1.57222 | + | 0.603517i | ||||
\(448\) | 1.29622 | − | 24.7333i | 0.0612405 | − | 1.16854i | ||||
\(449\) | −12.7342 | − | 2.01690i | −0.600965 | − | 0.0951835i | −0.151463 | − | 0.988463i | \(-0.548399\pi\) |
−0.449502 | + | 0.893279i | \(0.648399\pi\) | |||||||
\(450\) | −0.0104358 | + | 0.0658889i | −0.000491947 | + | 0.00310603i | ||||
\(451\) | −6.71178 | + | 6.04331i | −0.316045 | + | 0.284569i | ||||
\(452\) | 8.26392 | − | 18.5611i | 0.388702 | − | 0.873039i | ||||
\(453\) | 1.98271 | − | 5.16514i | 0.0931559 | − | 0.242679i | ||||
\(454\) | −1.07344 | − | 0.966527i | −0.0503789 | − | 0.0453614i | ||||
\(455\) | 45.3828 | − | 13.8450i | 2.12758 | − | 0.649066i | ||||
\(456\) | 0.812035 | + | 3.82032i | 0.0380270 | + | 0.178903i | ||||
\(457\) | 11.9801 | + | 23.5123i | 0.560405 | + | 1.09986i | 0.981253 | + | 0.192726i | \(0.0617328\pi\) |
−0.420847 | + | 0.907132i | \(0.638267\pi\) | |||||||
\(458\) | −0.748109 | + | 3.51958i | −0.0349568 | + | 0.164459i | ||||
\(459\) | −17.5805 | − | 10.1501i | −0.820589 | − | 0.473767i | ||||
\(460\) | 18.2069 | + | 4.87854i | 0.848903 | + | 0.227463i | ||||
\(461\) | −4.00206 | − | 2.03915i | −0.186395 | − | 0.0949728i | 0.358303 | − | 0.933605i | \(-0.383356\pi\) |
−0.544697 | + | 0.838633i | \(0.683356\pi\) | |||||||
\(462\) | −5.27248 | − | 4.26957i | −0.245298 | − | 0.198638i | ||||
\(463\) | −3.38877 | − | 21.3958i | −0.157489 | − | 0.994349i | −0.932176 | − | 0.362004i | \(-0.882093\pi\) |
0.774687 | − | 0.632345i | \(-0.217907\pi\) | |||||||
\(464\) | − | 31.9642i | − | 1.48390i | ||||||
\(465\) | −17.2781 | − | 30.6895i | −0.801250 | − | 1.42319i | ||||
\(466\) | 3.90997 | − | 3.90997i | 0.181126 | − | 0.181126i | ||||
\(467\) | −8.35777 | + | 11.5035i | −0.386752 | + | 0.532318i | −0.957357 | − | 0.288906i | \(-0.906708\pi\) |
0.570606 | + | 0.821224i | \(0.306708\pi\) | |||||||
\(468\) | 0.124630 | + | 0.225157i | 0.00576101 | + | 0.0104079i | ||||
\(469\) | 5.67232 | + | 17.4576i | 0.261923 | + | 0.806117i | ||||
\(470\) | 0.918281 | − | 3.42707i | 0.0423571 | − | 0.158079i | ||||
\(471\) | −27.6164 | − | 15.9443i | −1.27250 | − | 0.734676i | ||||
\(472\) | 1.13592 | − | 5.34408i | 0.0522850 | − | 0.245981i | ||||
\(473\) | −38.2159 | + | 19.4720i | −1.75717 | + | 0.895322i | ||||
\(474\) | 5.07988 | + | 3.29891i | 0.233327 | + | 0.151524i | ||||
\(475\) | −13.0963 | − | 16.1726i | −0.600900 | − | 0.742050i | ||||
\(476\) | −27.7565 | + | 1.45466i | −1.27222 | + | 0.0666740i | ||||
\(477\) | 0.115083 | + | 0.258481i | 0.00526930 | + | 0.0118350i | ||||
\(478\) | 1.28241 | + | 0.570967i | 0.0586562 | + | 0.0261154i | ||||
\(479\) | −26.9107 | − | 1.41033i | −1.22958 | − | 0.0644396i | −0.573548 | − | 0.819172i | \(-0.694433\pi\) |
−0.656033 | + | 0.754733i | \(0.727767\pi\) | |||||||
\(480\) | 13.2393 | − | 9.61888i | 0.604286 | − | 0.439040i | ||||
\(481\) | −1.00507 | − | 4.04146i | −0.0458271 | − | 0.184275i | ||||
\(482\) | 1.49689 | − | 1.34781i | 0.0681815 | − | 0.0613909i | ||||
\(483\) | −6.02772 | − | 15.7027i | −0.274271 | − | 0.714499i | ||||
\(484\) | 21.7489 | − | 9.68325i | 0.988588 | − | 0.440148i | ||||
\(485\) | 10.8198 | + | 9.74223i | 0.491304 | + | 0.442372i | ||||
\(486\) | −0.0533553 | − | 0.0658882i | −0.00242024 | − | 0.00298875i | ||||
\(487\) | 5.05899 | − | 7.79017i | 0.229245 | − | 0.353006i | −0.705265 | − | 0.708944i | \(-0.749172\pi\) |
0.934510 | + | 0.355938i | \(0.115839\pi\) | |||||||
\(488\) | −9.44193 | + | 4.81091i | −0.427416 | + | 0.217779i | ||||
\(489\) | −5.08908 | − | 7.83649i | −0.230136 | − | 0.354378i | ||||
\(490\) | −2.48539 | + | 4.30482i | −0.112279 | + | 0.194472i | ||||
\(491\) | 11.6457 | + | 20.1709i | 0.525561 | + | 0.910299i | 0.999557 | + | 0.0297714i | \(0.00947794\pi\) |
−0.473996 | + | 0.880527i | \(0.657189\pi\) | |||||||
\(492\) | −2.89266 | + | 5.67717i | −0.130411 | + | 0.255947i | ||||
\(493\) | −33.7359 | + | 3.54578i | −1.51939 | + | 0.159694i | ||||
\(494\) | 1.99300 | + | 0.461383i | 0.0896693 | + | 0.0207586i | ||||
\(495\) | 0.639970i | 0.0287645i | ||||||||
\(496\) | −5.55353 | + | 19.8628i | −0.249361 | + | 0.891867i | ||||
\(497\) | 16.8008 | 0.753617 | ||||||||
\(498\) | −2.11575 | + | 2.91208i | −0.0948091 | + | 0.130494i | ||||
\(499\) | −17.6695 | − | 14.3084i | −0.790994 | − | 0.640534i | 0.146235 | − | 0.989250i | \(-0.453285\pi\) |
−0.937229 | + | 0.348716i | \(0.886618\pi\) | |||||||
\(500\) | −10.2098 | + | 20.0379i | −0.456597 | + | 0.896122i | ||||
\(501\) | 12.9464 | + | 3.46898i | 0.578403 | + | 0.154983i | ||||
\(502\) | −4.05685 | + | 1.08703i | −0.181066 | + | 0.0485166i | ||||
\(503\) | −26.2546 | − | 5.58058i | −1.17063 | − | 0.248826i | −0.418737 | − | 0.908107i | \(-0.637527\pi\) |
−0.751896 | + | 0.659282i | \(0.770861\pi\) | |||||||
\(504\) | −0.111121 | − | 0.0361053i | −0.00494971 | − | 0.00160826i | ||||
\(505\) | −14.2767 | + | 21.9842i | −0.635304 | + | 0.978283i | ||||
\(506\) | −2.84368 | − | 0.298883i | −0.126417 | − | 0.0132870i | ||||
\(507\) | 22.6003 | − | 1.55304i | 1.00371 | − | 0.0689729i | ||||
\(508\) | 12.0872 | + | 27.1484i | 0.536284 | + | 1.20451i | ||||
\(509\) | −19.6975 | + | 7.56115i | −0.873075 | + | 0.335142i | −0.753314 | − | 0.657661i | \(-0.771546\pi\) |
−0.119761 | + | 0.992803i | \(0.538213\pi\) | |||||||
\(510\) | −3.70931 | − | 4.11961i | −0.164251 | − | 0.182419i | ||||
\(511\) | −22.6284 | + | 16.4405i | −1.00102 | + | 0.727286i | ||||
\(512\) | −15.9093 | − | 2.51978i | −0.703097 | − | 0.111360i | ||||
\(513\) | 13.1248 | + | 0.687840i | 0.579472 | + | 0.0303689i | ||||
\(514\) | −4.13511 | + | 1.58732i | −0.182392 | + | 0.0700136i | ||||
\(515\) | −8.27894 | + | 21.5674i | −0.364814 | + | 0.950373i | ||||
\(516\) | −20.2470 | + | 22.4866i | −0.891325 | + | 0.989916i | ||||
\(517\) | 2.20776 | − | 21.0054i | 0.0970970 | − | 0.923817i | ||||
\(518\) | 0.782886 | + | 0.508412i | 0.0343980 | + | 0.0223384i | ||||
\(519\) | 10.5300 | − | 32.4081i | 0.462217 | − | 1.42256i | ||||
\(520\) | −2.19243 | − | 11.3154i | −0.0961444 | − | 0.496214i | ||||
\(521\) | 7.36197 | − | 12.7513i | 0.322534 | − | 0.558645i | −0.658476 | − | 0.752601i | \(-0.728799\pi\) |
0.981010 | + | 0.193957i | \(0.0621321\pi\) | |||||||
\(522\) | −0.0680020 | − | 0.0182211i | −0.00297637 | − | 0.000797515i | ||||
\(523\) | 16.3277 | − | 5.30519i | 0.713961 | − | 0.231980i | 0.0705579 | − | 0.997508i | \(-0.477522\pi\) |
0.643403 | + | 0.765528i | \(0.277522\pi\) | |||||||
\(524\) | −26.4309 | + | 2.77799i | −1.15464 | + | 0.121357i | ||||
\(525\) | 51.0187 | − | 8.08056i | 2.22664 | − | 0.352665i | ||||
\(526\) | −0.332540 | + | 0.332540i | −0.0144994 | + | 0.0144994i | ||||
\(527\) | 21.5798 | + | 3.65796i | 0.940029 | + | 0.159343i | ||||
\(528\) | 21.9883 | − | 21.9883i | 0.956917 | − | 0.956917i | ||||
\(529\) | 12.8724 | + | 9.35231i | 0.559668 | + | 0.406622i | ||||
\(530\) | −0.653968 | − | 6.22209i | −0.0284066 | − | 0.270270i | ||||
\(531\) | 0.202301 | + | 0.103078i | 0.00877913 | + | 0.00447319i | ||||
\(532\) | 15.5839 | − | 8.99737i | 0.675648 | − | 0.390085i | ||||
\(533\) | 4.15848 | + | 5.32922i | 0.180124 | + | 0.230834i | ||||
\(534\) | 1.41715 | + | 0.301224i | 0.0613260 | + | 0.0130352i | ||||
\(535\) | 37.6379 | − | 19.1775i | 1.62723 | − | 0.829114i | ||||
\(536\) | 4.36155 | − | 0.927077i | 0.188390 | − | 0.0400436i | ||||
\(537\) | −21.7600 | − | 2.28707i | −0.939013 | − | 0.0986943i | ||||
\(538\) | −0.135612 | − | 2.58763i | −0.00584665 | − | 0.111561i | ||||
\(539\) | −10.6045 | + | 27.6257i | −0.456769 | + | 1.18992i | ||||
\(540\) | −13.1014 | − | 34.1303i | −0.563794 | − | 1.46873i | ||||
\(541\) | −9.07174 | − | 0.475430i | −0.390024 | − | 0.0204403i | −0.143684 | − | 0.989624i | \(-0.545895\pi\) |
−0.246341 | + | 0.969183i | \(0.579228\pi\) | |||||||
\(542\) | 0.0864553 | + | 0.118995i | 0.00371357 | + | 0.00511129i | ||||
\(543\) | 17.0609 | + | 23.4823i | 0.732154 | + | 1.00772i | ||||
\(544\) | −0.532264 | + | 10.1562i | −0.0228207 | + | 0.435444i | ||||
\(545\) | 13.0816 | − | 29.3819i | 0.560356 | − | 1.25858i | ||||
\(546\) | −3.46528 | + | 3.71158i | −0.148300 | + | 0.158841i | ||||
\(547\) | 27.8255 | − | 30.9034i | 1.18973 | − | 1.32133i | 0.254597 | − | 0.967047i | \(-0.418057\pi\) |
0.935137 | − | 0.354286i | \(-0.115276\pi\) | |||||||
\(548\) | −0.882306 | − | 1.08956i | −0.0376902 | − | 0.0465436i | ||||
\(549\) | −0.0915605 | − | 0.430758i | −0.00390771 | − | 0.0183843i | ||||
\(550\) | 2.71353 | − | 8.35139i | 0.115705 | − | 0.356104i | ||||
\(551\) | 18.4185 | − | 11.9611i | 0.784655 | − | 0.509561i | ||||
\(552\) | −3.94663 | + | 1.05750i | −0.167980 | + | 0.0450100i | ||||
\(553\) | 14.6297 | − | 54.5989i | 0.622120 | − | 2.32178i | ||||
\(554\) | −2.50002 | + | 4.90657i | −0.106216 | + | 0.208460i | ||||
\(555\) | −0.763709 | − | 7.26620i | −0.0324176 | − | 0.308433i | ||||
\(556\) | 20.6663 | + | 15.0149i | 0.876445 | + | 0.636774i | ||||
\(557\) | 1.00638 | + | 1.00638i | 0.0426416 | + | 0.0426416i | 0.728106 | − | 0.685464i | \(-0.240401\pi\) |
−0.685464 | + | 0.728106i | \(0.740401\pi\) | |||||||
\(558\) | 0.0390912 | + | 0.0231375i | 0.00165486 | + | 0.000979489i | ||||
\(559\) | 12.5253 | + | 29.5572i | 0.529764 | + | 1.25014i | ||||
\(560\) | −39.4371 | − | 28.6527i | −1.66652 | − | 1.21080i | ||||
\(561\) | −25.6461 | − | 20.7678i | −1.08278 | − | 0.876819i | ||||
\(562\) | 2.10012 | + | 6.46350i | 0.0885881 | + | 0.272646i | ||||
\(563\) | −15.5389 | + | 8.97137i | −0.654885 | + | 0.378098i | −0.790325 | − | 0.612687i | \(-0.790089\pi\) |
0.135440 | + | 0.990786i | \(0.456755\pi\) | |||||||
\(564\) | −3.85656 | − | 14.3929i | −0.162390 | − | 0.606049i | ||||
\(565\) | −20.5959 | − | 31.7150i | −0.866478 | − | 1.33426i | ||||
\(566\) | −2.23444 | − | 4.38534i | −0.0939205 | − | 0.184329i | ||||
\(567\) | −17.9843 | + | 27.6934i | −0.755271 | + | 1.16302i | ||||
\(568\) | 0.426601 | − | 4.05884i | 0.0178998 | − | 0.170305i | ||||
\(569\) | 19.4539 | − | 21.6058i | 0.815551 | − | 0.905761i | −0.181431 | − | 0.983404i | \(-0.558073\pi\) |
0.996981 | + | 0.0776430i | \(0.0247394\pi\) | |||||||
\(570\) | 3.35058 | + | 1.28617i | 0.140340 | + | 0.0538715i | ||||
\(571\) | −30.0226 | − | 13.3669i | −1.25640 | − | 0.559387i | −0.332896 | − | 0.942964i | \(-0.608026\pi\) |
−0.923509 | + | 0.383576i | \(0.874692\pi\) | |||||||
\(572\) | −11.5669 | − | 31.8393i | −0.483635 | − | 1.33127i | ||||
\(573\) | −10.2057 | − | 14.0470i | −0.426350 | − | 0.586820i | ||||
\(574\) | −1.49653 | − | 0.237027i | −0.0624640 | − | 0.00989332i | ||||
\(575\) | 16.1785 | − | 14.5672i | 0.674689 | − | 0.607492i | ||||
\(576\) | 0.101695 | − | 0.228410i | 0.00423728 | − | 0.00951709i | ||||
\(577\) | 18.4780 | + | 7.09303i | 0.769248 | + | 0.295286i | 0.711165 | − | 0.703025i | \(-0.248168\pi\) |
0.0580828 | + | 0.998312i | \(0.481501\pi\) | |||||||
\(578\) | −0.344228 | + | 0.0180402i | −0.0143180 | + | 0.000750374i | ||||
\(579\) | 13.5449 | − | 10.9684i | 0.562906 | − | 0.455833i | ||||
\(580\) | −51.2337 | − | 33.2716i | −2.12736 | − | 1.38153i | ||||
\(581\) | 31.9470 | + | 10.3802i | 1.32539 | + | 0.430644i | ||||
\(582\) | −1.52410 | − | 0.323957i | −0.0631758 | − | 0.0134284i | ||||
\(583\) | −9.63952 | − | 35.9752i | −0.399228 | − | 1.48994i | ||||
\(584\) | 3.39723 | + | 5.88418i | 0.140578 | + | 0.243489i | ||||
\(585\) | 0.477799 | + | 0.0336998i | 0.0197545 | + | 0.00139332i | ||||
\(586\) | 0.647635 | + | 6.16183i | 0.0267535 | + | 0.254543i | ||||
\(587\) | −10.5942 | + | 1.67796i | −0.437270 | + | 0.0692567i | −0.371189 | − | 0.928557i | \(-0.621050\pi\) |
−0.0660813 | + | 0.997814i | \(0.521050\pi\) | |||||||
\(588\) | 20.8761i | 0.860915i | ||||||||
\(589\) | −13.5235 | + | 4.23266i | −0.557228 | + | 0.174404i | ||||
\(590\) | −3.54998 | − | 3.54998i | −0.146150 | − | 0.146150i | ||||
\(591\) | −0.195797 | − | 1.23621i | −0.00805400 | − | 0.0508509i | ||||
\(592\) | −2.69261 | + | 3.32509i | −0.110666 | + | 0.136661i | ||||
\(593\) | 12.0422 | + | 6.13582i | 0.494515 | + | 0.251968i | 0.683417 | − | 0.730028i | \(-0.260493\pi\) |
−0.188902 | + | 0.981996i | \(0.560493\pi\) | |||||||
\(594\) | 2.77289 | + | 4.80278i | 0.113773 | + | 0.197060i | ||||
\(595\) | −25.8661 | + | 44.8013i | −1.06041 | + | 1.83668i | ||||
\(596\) | 33.4206 | − | 21.7036i | 1.36896 | − | 0.889014i | ||||
\(597\) | 9.55186 | + | 3.10359i | 0.390932 | + | 0.127021i | ||||
\(598\) | −0.372889 | + | 2.10734i | −0.0152486 | + | 0.0861757i | ||||
\(599\) | −2.02763 | + | 19.2916i | −0.0828465 | + | 0.788232i | 0.871674 | + | 0.490086i | \(0.163035\pi\) |
−0.954520 | + | 0.298146i | \(0.903632\pi\) | |||||||
\(600\) | −0.656701 | − | 12.5306i | −0.0268097 | − | 0.511560i | ||||
\(601\) | 12.1734 | + | 27.3419i | 0.496564 | + | 1.11530i | 0.971878 | + | 0.235485i | \(0.0756677\pi\) |
−0.475314 | + | 0.879816i | \(0.657666\pi\) | |||||||
\(602\) | −6.57347 | − | 2.92670i | −0.267915 | − | 0.119283i | ||||
\(603\) | −0.00969809 | + | 0.185050i | −0.000394937 | + | 0.00753584i | ||||
\(604\) | −0.968659 | + | 6.11588i | −0.0394142 | + | 0.248851i | ||||
\(605\) | 6.93171 | − | 43.7651i | 0.281814 | − | 1.77930i | ||||
\(606\) | 0.146818 | − | 2.80145i | 0.00596407 | − | 0.113801i | ||||
\(607\) | −25.9813 | − | 11.5676i | −1.05455 | − | 0.469515i | −0.195124 | − | 0.980779i | \(-0.562511\pi\) |
−0.859424 | + | 0.511263i | \(0.829178\pi\) | |||||||
\(608\) | −2.67810 | − | 6.01510i | −0.108611 | − | 0.243945i | ||||
\(609\) | 2.85296 | + | 54.4376i | 0.115608 | + | 2.20592i | ||||
\(610\) | −1.01786 | + | 9.68426i | −0.0412118 | + | 0.392104i | ||||
\(611\) | −15.5663 | − | 2.75441i | −0.629744 | − | 0.111432i | ||||
\(612\) | −0.266854 | − | 0.0867062i | −0.0107869 | − | 0.00350489i | ||||
\(613\) | 18.7951 | − | 12.2057i | 0.759129 | − | 0.492984i | −0.106104 | − | 0.994355i | \(-0.533838\pi\) |
0.865232 | + | 0.501371i | \(0.167171\pi\) | |||||||
\(614\) | 1.21371 | − | 2.10220i | 0.0489812 | − | 0.0848380i | ||||
\(615\) | 5.92955 | + | 10.2703i | 0.239102 | + | 0.414137i | ||||
\(616\) | 13.7034 | + | 6.98226i | 0.552128 | + | 0.281323i | ||||
\(617\) | 8.53485 | − | 10.5397i | 0.343600 | − | 0.424311i | −0.575827 | − | 0.817572i | \(-0.695320\pi\) |
0.919427 | + | 0.393261i | \(0.128653\pi\) | |||||||
\(618\) | −0.386757 | − | 2.44189i | −0.0155577 | − | 0.0982272i | ||||
\(619\) | 12.2488 | + | 12.2488i | 0.492320 | + | 0.492320i | 0.909036 | − | 0.416717i | \(-0.136819\pi\) |
−0.416717 | + | 0.909036i | \(0.636819\pi\) | |||||||
\(620\) | 26.0563 | + | 29.5766i | 1.04645 | + | 1.18783i | ||||
\(621\) | 13.7491i | 0.551731i | ||||||||
\(622\) | −4.77073 | + | 0.755609i | −0.191289 | + | 0.0302971i | ||||
\(623\) | −1.41326 | − | 13.4463i | −0.0566212 | − | 0.538715i | ||||
\(624\) | −15.2585 | − | 17.5742i | −0.610828 | − | 0.703532i | ||||
\(625\) | 0.487091 | + | 0.843667i | 0.0194836 | + | 0.0337467i | ||||
\(626\) | −0.589312 | − | 2.19934i | −0.0235536 | − | 0.0879034i | ||||
\(627\) | 20.8982 | + | 4.44205i | 0.834595 | + | 0.177399i | ||||
\(628\) | 33.9430 | + | 11.0288i | 1.35447 | + | 0.440096i | ||||
\(629\) | 3.80808 | + | 2.47300i | 0.151838 | + | 0.0986048i | ||||
\(630\) | −0.0834379 | + | 0.0675667i | −0.00332425 | + | 0.00269192i | ||||
\(631\) | −39.6615 | + | 2.07857i | −1.57890 | + | 0.0827465i | −0.821500 | − | 0.570208i | \(-0.806863\pi\) |
−0.757397 | + | 0.652954i | \(0.773529\pi\) | |||||||
\(632\) | −12.8189 | − | 4.92071i | −0.509908 | − | 0.195735i | ||||
\(633\) | 10.4829 | − | 23.5449i | 0.416657 | − | 0.935826i | ||||
\(634\) | 1.24930 | − | 1.12487i | 0.0496159 | − | 0.0446744i | ||||
\(635\) | 54.6303 | + | 8.65259i | 2.16794 | + | 0.343368i | ||||
\(636\) | −15.4442 | − | 21.2571i | −0.612401 | − | 0.842898i | ||||
\(637\) | 20.0668 | + | 9.37202i | 0.795077 | + | 0.371333i | ||||
\(638\) | 8.46581 | + | 3.76922i | 0.335164 | + | 0.149225i | ||||
\(639\) | 0.158339 | + | 0.0607807i | 0.00626380 | + | 0.00240445i | ||||
\(640\) | −16.2669 | + | 18.0662i | −0.643006 | + | 0.714131i | ||||
\(641\) | 2.66265 | − | 25.3334i | 0.105168 | − | 1.00061i | −0.806932 | − | 0.590644i | \(-0.798874\pi\) |
0.912101 | − | 0.409967i | \(-0.134460\pi\) | |||||||
\(642\) | −2.46214 | + | 3.79137i | −0.0971731 | + | 0.149633i | ||||
\(643\) | −15.9167 | − | 31.2383i | −0.627695 | − | 1.23192i | −0.957653 | − | 0.287925i | \(-0.907035\pi\) |
0.329958 | − | 0.943995i | \(-0.392965\pi\) | |||||||
\(644\) | 10.2528 | + | 15.7879i | 0.404015 | + | 0.622129i | ||||
\(645\) | 14.5763 | + | 54.3994i | 0.573940 | + | 2.14197i | ||||
\(646\) | −1.93161 | + | 1.11522i | −0.0759982 | + | 0.0438776i | ||||
\(647\) | 11.5844 | + | 35.6531i | 0.455429 | + | 1.40167i | 0.870630 | + | 0.491938i | \(0.163711\pi\) |
−0.415201 | + | 0.909730i | \(0.636289\pi\) | |||||||
\(648\) | 6.23371 | + | 5.04796i | 0.244883 | + | 0.198303i | ||||
\(649\) | −24.1789 | − | 17.5670i | −0.949103 | − | 0.689564i | ||||
\(650\) | −6.09222 | − | 2.46568i | −0.238957 | − | 0.0967120i | ||||
\(651\) | 7.68525 | − | 34.3236i | 0.301209 | − | 1.34525i | ||||
\(652\) | 7.39475 | + | 7.39475i | 0.289601 | + | 0.289601i | ||||
\(653\) | 11.2555 | + | 8.17763i | 0.440463 | + | 0.320015i | 0.785819 | − | 0.618457i | \(-0.212242\pi\) |
−0.345356 | + | 0.938472i | \(0.612242\pi\) | |||||||
\(654\) | 0.359786 | + | 3.42313i | 0.0140687 | + | 0.133855i | ||||
\(655\) | −22.4566 | + | 44.0736i | −0.877452 | + | 1.72210i | ||||
\(656\) | 1.79745 | − | 6.70816i | 0.0701785 | − | 0.261910i | ||||
\(657\) | −0.272740 | + | 0.0730803i | −0.0106406 | + | 0.00285114i | ||||
\(658\) | 2.97173 | − | 1.92986i | 0.115850 | − | 0.0752339i | ||||
\(659\) | 3.93397 | − | 12.1075i | 0.153246 | − | 0.471642i | −0.844733 | − | 0.535188i | \(-0.820241\pi\) |
0.997979 | + | 0.0635458i | \(0.0202409\pi\) | |||||||
\(660\) | −12.3562 | − | 58.1314i | −0.480965 | − | 2.26276i | ||||
\(661\) | −21.4235 | − | 26.4558i | −0.833278 | − | 1.02901i | −0.999081 | − | 0.0428536i | \(-0.986355\pi\) |
0.165804 | − | 0.986159i | \(-0.446978\pi\) | |||||||
\(662\) | 3.78360 | − | 4.20212i | 0.147054 | − | 0.163320i | ||||
\(663\) | −16.8557 | + | 18.0537i | −0.654620 | + | 0.701148i | ||||
\(664\) | 3.31892 | − | 7.45441i | 0.128799 | − | 0.289287i | ||||
\(665\) | 1.75286 | − | 33.4465i | 0.0679728 | − | 1.29700i | ||||
\(666\) | 0.00553903 | + | 0.00762382i | 0.000214633 | + | 0.000295417i | ||||
\(667\) | 13.5042 | + | 18.5869i | 0.522884 | + | 0.719688i | ||||
\(668\) | −14.9802 | − | 0.785081i | −0.579602 | − | 0.0303757i | ||||
\(669\) | 7.55250 | + | 19.6749i | 0.291997 | + | 0.760677i | ||||
\(670\) | 1.46838 | − | 3.82525i | 0.0567284 | − | 0.147782i | ||||
\(671\) | 3.03382 | + | 57.8887i | 0.117119 | + | 2.23477i | ||||
\(672\) | 16.2539 | + | 1.70836i | 0.627010 | + | 0.0659014i | ||||
\(673\) | 12.9445 | − | 2.75144i | 0.498975 | − | 0.106060i | 0.0484523 | − | 0.998825i | \(-0.484571\pi\) |
0.450522 | + | 0.892765i | \(0.351238\pi\) | |||||||
\(674\) | −2.58416 | + | 1.31670i | −0.0995382 | + | 0.0507172i | ||||
\(675\) | −41.3013 | − | 8.77885i | −1.58969 | − | 0.337898i | ||||
\(676\) | −24.3802 | + | 6.95916i | −0.937698 | + | 0.267660i | ||||
\(677\) | 8.79866 | − | 5.07991i | 0.338160 | − | 0.195237i | −0.321298 | − | 0.946978i | \(-0.604119\pi\) |
0.659458 | + | 0.751741i | \(0.270786\pi\) | |||||||
\(678\) | 3.60591 | + | 1.83730i | 0.138484 | + | 0.0705611i | ||||
\(679\) | 1.51992 | + | 14.4611i | 0.0583292 | + | 0.554965i | ||||
\(680\) | 10.1666 | + | 7.38648i | 0.389872 | + | 0.283259i | ||||
\(681\) | −7.98385 | + | 7.98385i | −0.305942 | + | 0.305942i | ||||
\(682\) | −4.60584 | − | 3.81308i | −0.176367 | − | 0.146011i | ||||
\(683\) | −5.57686 | + | 5.57686i | −0.213392 | + | 0.213392i | −0.805707 | − | 0.592314i | \(-0.798214\pi\) |
0.592314 | + | 0.805707i | \(0.298214\pi\) | |||||||
\(684\) | 0.179421 | − | 0.0284175i | 0.00686033 | − | 0.00108657i | ||||
\(685\) | −2.59515 | + | 0.272761i | −0.0991555 | + | 0.0104217i | ||||
\(686\) | 0.659010 | − | 0.214125i | 0.0251611 | − | 0.00817535i | ||||
\(687\) | 27.1678 | + | 7.27959i | 1.03652 | + | 0.277734i | ||||
\(688\) | 16.4903 | − | 28.5620i | 0.628687 | − | 1.08892i | ||||
\(689\) | −27.3665 | + | 5.30243i | −1.04258 | + | 0.202006i | ||||
\(690\) | −1.16021 | + | 3.57076i | −0.0441684 | + | 0.135936i | ||||
\(691\) | 34.4772 | + | 22.3897i | 1.31157 | + | 0.851746i | 0.995292 | − | 0.0969197i | \(-0.0308990\pi\) |
0.316281 | + | 0.948665i | \(0.397566\pi\) | |||||||
\(692\) | −3.98649 | + | 37.9289i | −0.151543 | + | 1.44184i | ||||
\(693\) | −0.427670 | + | 0.474976i | −0.0162458 | + | 0.0180428i | ||||
\(694\) | 0.320150 | − | 0.834019i | 0.0121527 | − | 0.0316589i | ||||
\(695\) | 44.3871 | − | 17.0386i | 1.68370 | − | 0.646311i | ||||
\(696\) | 13.2238 | + | 0.693032i | 0.501249 | + | 0.0262693i | ||||
\(697\) | −7.27935 | − | 1.15294i | −0.275725 | − | 0.0436706i | ||||
\(698\) | 3.08261 | − | 2.23965i | 0.116679 | − | 0.0847719i | ||||
\(699\) | −28.9217 | − | 32.1208i | −1.09392 | − | 1.21492i | ||||
\(700\) | −53.9721 | + | 20.7179i | −2.03995 | + | 0.783064i | ||||
\(701\) | 5.60568 | + | 12.5906i | 0.211724 | + | 0.475539i | 0.987922 | − | 0.154949i | \(-0.0495213\pi\) |
−0.776199 | + | 0.630488i | \(0.782855\pi\) | |||||||
\(702\) | 3.73175 | − | 1.81732i | 0.140846 | − | 0.0685902i | ||||
\(703\) | −2.92358 | − | 0.307280i | −0.110265 | − | 0.0115893i | ||||
\(704\) | −17.9248 | + | 27.6018i | −0.675566 | + | 1.04028i | ||||
\(705\) | −26.3761 | − | 8.57011i | −0.993380 | − | 0.322769i | ||||
\(706\) | 6.94123 | + | 1.47540i | 0.261236 | + | 0.0555275i | ||||
\(707\) | −25.2872 | + | 6.77569i | −0.951024 | + | 0.254826i | ||||
\(708\) | −20.3661 | − | 5.45709i | −0.765406 | − | 0.205090i | ||||
\(709\) | 6.69690 | − | 13.1434i | 0.251507 | − | 0.493611i | −0.730389 | − | 0.683032i | \(-0.760661\pi\) |
0.981896 | + | 0.189421i | \(0.0606610\pi\) | |||||||
\(710\) | −2.91449 | − | 2.36010i | −0.109379 | − | 0.0885731i | ||||
\(711\) | 0.335403 | − | 0.461642i | 0.0125786 | − | 0.0173129i | ||||
\(712\) | −3.28433 | −0.123086 | ||||||||
\(713\) | −5.16227 | − | 13.8963i | −0.193329 | − | 0.520420i | ||||
\(714\) | − | 5.53632i | − | 0.207191i | ||||||
\(715\) | −61.4251 | − | 14.2200i | −2.29717 | − | 0.531800i | ||||
\(716\) | 24.3538 | − | 2.55969i | 0.910145 | − | 0.0956601i | ||||
\(717\) | 4.98160 | − | 9.77695i | 0.186041 | − | 0.365127i | ||||
\(718\) | 1.12911 | + | 1.95567i | 0.0421379 | + | 0.0729851i | ||||
\(719\) | −6.27210 | + | 10.8636i | −0.233910 | + | 0.405143i | −0.958955 | − | 0.283557i | \(-0.908485\pi\) |
0.725046 | + | 0.688701i | \(0.241819\pi\) | |||||||
\(720\) | −0.268018 | − | 0.412711i | −0.00998843 | − | 0.0153808i | ||||
\(721\) | −20.5573 | + | 10.4744i | −0.765592 | + | 0.390089i | ||||
\(722\) | −1.52044 | + | 2.34128i | −0.0565850 | + | 0.0871333i | ||||
\(723\) | −9.90861 | − | 12.2361i | −0.368505 | − | 0.455066i | ||||
\(724\) | −24.1416 | − | 21.7372i | −0.897214 | − | 0.807855i | ||||
\(725\) | −64.4563 | + | 28.6978i | −2.39385 | + | 1.06581i | ||||
\(726\) | 1.69941 | + | 4.42711i | 0.0630709 | + | 0.164305i | ||||
\(727\) | −8.75191 | + | 7.88026i | −0.324590 | + | 0.292263i | −0.815274 | − | 0.579075i | \(-0.803414\pi\) |
0.490684 | + | 0.871338i | \(0.336747\pi\) | |||||||
\(728\) | 5.93452 | − | 9.86326i | 0.219948 | − | 0.365557i | ||||
\(729\) | 21.5705 | − | 15.6719i | 0.798908 | − | 0.580441i | ||||
\(730\) | 6.23493 | + | 0.326759i | 0.230765 | + | 0.0120939i | ||||
\(731\) | −31.9744 | − | 14.2359i | −1.18261 | − | 0.526534i | ||||
\(732\) | 16.6337 | + | 37.3600i | 0.614800 | + | 1.38086i | ||||
\(733\) | −13.5465 | + | 0.709943i | −0.500352 | + | 0.0262223i | −0.300843 | − | 0.953674i | \(-0.597268\pi\) |
−0.199509 | + | 0.979896i | \(0.563935\pi\) | |||||||
\(734\) | 4.71459 | + | 5.82203i | 0.174019 | + | 0.214895i | ||||
\(735\) | 32.5867 | + | 21.1621i | 1.20198 | + | 0.780574i | ||||
\(736\) | 6.13734 | − | 3.12713i | 0.226225 | − | 0.115268i | ||||
\(737\) | 5.07137 | − | 23.8589i | 0.186806 | − | 0.878854i | ||||
\(738\) | −0.0132466 | − | 0.00764792i | −0.000487613 | − | 0.000281524i | ||||
\(739\) | −3.94569 | + | 14.7255i | −0.145145 | + | 0.541687i | 0.854604 | + | 0.519280i | \(0.173800\pi\) |
−0.999749 | + | 0.0224075i | \(0.992867\pi\) | |||||||
\(740\) | 2.52688 | + | 7.77692i | 0.0928898 | + | 0.285885i | ||||
\(741\) | 4.41689 | − | 15.3686i | 0.162258 | − | 0.564580i | ||||
\(742\) | 3.67265 | − | 5.05497i | 0.134827 | − | 0.185574i | ||||
\(743\) | −17.1614 | + | 17.1614i | −0.629592 | + | 0.629592i | −0.947965 | − | 0.318373i | \(-0.896863\pi\) |
0.318373 | + | 0.947965i | \(0.396863\pi\) | |||||||
\(744\) | −8.09698 | − | 2.72819i | −0.296850 | − | 0.100020i | ||||
\(745\) | − | 74.1691i | − | 2.71735i | ||||||
\(746\) | −0.336668 | − | 2.12564i | −0.0123263 | − | 0.0778251i | ||||
\(747\) | 0.263533 | + | 0.213405i | 0.00964216 | + | 0.00780807i | ||||
\(748\) | 32.9085 | + | 16.7677i | 1.20326 | + | 0.613089i | ||||
\(749\) | 40.7499 | + | 10.9189i | 1.48897 | + | 0.398968i | ||||
\(750\) | −3.87938 | − | 2.23976i | −0.141655 | − | 0.0817846i | ||||
\(751\) | −3.88368 | + | 18.2713i | −0.141717 | + | 0.666728i | 0.848729 | + | 0.528828i | \(0.177368\pi\) |
−0.990446 | + | 0.137899i | \(0.955965\pi\) | |||||||
\(752\) | 7.37325 | + | 14.4708i | 0.268875 | + | 0.527696i | ||||
\(753\) | 6.82573 | + | 32.1125i | 0.248743 | + | 1.17025i | ||||
\(754\) | 3.25988 | − | 6.12205i | 0.118718 | − | 0.222952i | ||||
\(755\) | 8.56471 | + | 7.71170i | 0.311702 | + | 0.280657i | ||||
\(756\) | 13.0845 | − | 34.0862i | 0.475878 | − | 1.23970i | ||||
\(757\) | 4.24976 | − | 9.54512i | 0.154460 | − | 0.346923i | −0.819696 | − | 0.572799i | \(-0.805858\pi\) |
0.974156 | + | 0.225876i | \(0.0725243\pi\) | |||||||
\(758\) | −1.19057 | + | 1.07200i | −0.0432436 | + | 0.0389367i | ||||
\(759\) | −3.49642 | + | 22.0755i | −0.126912 | + | 0.801292i | ||||
\(760\) | −8.03571 | − | 1.27273i | −0.291486 | − | 0.0461668i | ||||
\(761\) | 0.172384 | − | 3.28928i | 0.00624892 | − | 0.119236i | −0.993724 | − | 0.111861i | \(-0.964319\pi\) |
0.999973 | − | 0.00737562i | \(-0.00234775\pi\) | |||||||
\(762\) | −5.52619 | + | 2.12131i | −0.200193 | + | 0.0768468i | ||||
\(763\) | 29.3439 | − | 13.0647i | 1.06232 | − | 0.472976i | ||||
\(764\) | 14.4413 | + | 13.0030i | 0.522468 | + | 0.470432i | ||||
\(765\) | −0.405855 | + | 0.328655i | −0.0146737 | + | 0.0118825i | ||||
\(766\) | 0.0874188 | − | 0.0185814i | 0.00315857 | − | 0.000671374i | ||||
\(767\) | −14.3886 | + | 17.1268i | −0.519544 | + | 0.618412i | ||||
\(768\) | −4.40947 | + | 20.7449i | −0.159113 | + | 0.748568i | ||||
\(769\) | −53.5496 | + | 14.3486i | −1.93105 | + | 0.517422i | −0.958054 | + | 0.286588i | \(0.907479\pi\) |
−0.972993 | + | 0.230834i | \(0.925855\pi\) | |||||||
\(770\) | 12.2392 | − | 7.06628i | 0.441069 | − | 0.254651i | ||||
\(771\) | 10.6990 | + | 32.9280i | 0.385314 | + | 1.18587i | ||||
\(772\) | −12.2759 | + | 15.1595i | −0.441819 | + | 0.545601i | ||||
\(773\) | 19.9563 | − | 3.16077i | 0.717779 | − | 0.113685i | 0.213147 | − | 0.977020i | \(-0.431629\pi\) |
0.504631 | + | 0.863335i | \(0.331629\pi\) | |||||||
\(774\) | −0.0513638 | − | 0.0513638i | −0.00184623 | − | 0.00184623i | ||||
\(775\) | 45.0396 | − | 6.63426i | 1.61787 | − | 0.238310i | ||||
\(776\) | 3.53220 | 0.126798 | ||||||||
\(777\) | 4.28894 | − | 5.90323i | 0.153865 | − | 0.211777i | ||||
\(778\) | 2.65412 | − | 3.27757i | 0.0951549 | − | 0.117507i | ||||
\(779\) | 4.53800 | − | 1.47449i | 0.162591 | − | 0.0528289i | ||||
\(780\) | −44.0513 | + | 6.16398i | −1.57729 | + | 0.220706i | ||||
\(781\) | −19.3342 | − | 11.1626i | −0.691834 | − | 0.399430i | ||||
\(782\) | −1.27082 | − | 1.95689i | −0.0454445 | − | 0.0699783i | ||||
\(783\) | 13.7698 | − | 42.3790i | 0.492092 | − | 1.51450i | ||||
\(784\) | −4.73082 | − | 22.2568i | −0.168958 | − | 0.794884i | ||||
\(785\) | 51.6235 | − | 41.8039i | 1.84252 | − | 1.49204i | ||||
\(786\) | −0.277050 | − | 5.28642i | −0.00988204 | − | 0.188561i | ||||
\(787\) | −11.7942 | − | 4.52737i | −0.420418 | − | 0.161383i | 0.138956 | − | 0.990298i | \(-0.455625\pi\) |
−0.559374 | + | 0.828915i | \(0.688959\pi\) | |||||||
\(788\) | 0.502007 | + | 1.30777i | 0.0178833 | + | 0.0465875i | ||||
\(789\) | 2.45977 | + | 2.73185i | 0.0875700 | + | 0.0972564i | ||||
\(790\) | −10.2077 | + | 7.41634i | −0.363174 | + | 0.263861i | ||||
\(791\) | 5.90805 | − | 37.3020i | 0.210066 | − | 1.32630i | ||||
\(792\) | 0.103889 | + | 0.115380i | 0.00369152 | + | 0.00409985i | ||||
\(793\) | 43.3792 | + | 0.783296i | 1.54044 | + | 0.0278157i | ||||
\(794\) | 0.577525 | − | 0.257130i | 0.0204956 | − | 0.00912522i | ||||
\(795\) | −48.8372 | + | 2.55945i | −1.73208 | + | 0.0907743i | ||||
\(796\) | −11.1790 | − | 1.17496i | −0.396230 | − | 0.0416455i | ||||
\(797\) | 34.2395 | − | 7.27782i | 1.21282 | − | 0.257794i | 0.443278 | − | 0.896384i | \(-0.353816\pi\) |
0.769547 | + | 0.638591i | \(0.220482\pi\) | |||||||
\(798\) | 1.62725 | + | 3.19365i | 0.0576039 | + | 0.113054i | ||||
\(799\) | 14.4550 | − | 9.38716i | 0.511379 | − | 0.332094i | ||||
\(800\) | 5.47496 | + | 20.4328i | 0.193569 | + | 0.722409i | ||||
\(801\) | 0.0353259 | − | 0.131838i | 0.00124818 | − | 0.00465826i | ||||
\(802\) | 0.772256 | − | 0.250921i | 0.0272693 | − | 0.00886034i | ||||
\(803\) | 36.9640 | − | 3.88507i | 1.30443 | − | 0.137101i | ||||
\(804\) | −2.69194 | − | 16.9962i | −0.0949374 | − | 0.599411i | ||||
\(805\) | 35.0374 | 1.23491 | ||||||||
\(806\) | −3.08937 | + | 3.23791i | −0.108818 | + | 0.114051i | ||||
\(807\) | −20.2546 | −0.712994 | ||||||||
\(808\) | 0.994829 | + | 6.28110i | 0.0349980 | + | 0.220968i | ||||
\(809\) | 20.2156 | − | 2.12475i | 0.710744 | − | 0.0747022i | 0.257744 | − | 0.966213i | \(-0.417021\pi\) |
0.452999 | + | 0.891511i | \(0.350354\pi\) | |||||||
\(810\) | 7.01007 | − | 2.27771i | 0.246309 | − | 0.0800305i | ||||
\(811\) | 3.56791 | − | 13.3156i | 0.125286 | − | 0.467575i | −0.874563 | − | 0.484911i | \(-0.838852\pi\) |
0.999850 | + | 0.0173364i | \(0.00551861\pi\) | |||||||
\(812\) | −15.7906 | − | 58.9314i | −0.554142 | − | 2.06809i | ||||
\(813\) | 0.964248 | − | 0.626190i | 0.0338176 | − | 0.0219614i | ||||
\(814\) | −0.563147 | − | 1.10524i | −0.0197383 | − | 0.0387386i | ||||
\(815\) | 19.0390 | − | 4.04686i | 0.666906 | − | 0.141755i | ||||
\(816\) | 25.2365 | + | 2.65246i | 0.883455 | + | 0.0928548i | ||||
\(817\) | 22.6288 | − | 1.18593i | 0.791682 | − | 0.0414903i | ||||
\(818\) | 3.72401 | − | 1.65804i | 0.130207 | − | 0.0579718i | ||||
\(819\) | 0.332094 | + | 0.344308i | 0.0116043 | + | 0.0120311i | ||||
\(820\) | −8.88118 | − | 9.86355i | −0.310144 | − | 0.344450i | ||||
\(821\) | −5.24605 | + | 33.1222i | −0.183088 | + | 1.15597i | 0.709367 | + | 0.704839i | \(0.248981\pi\) |
−0.892456 | + | 0.451135i | \(0.851019\pi\) | |||||||
\(822\) | 0.225926 | − | 0.164145i | 0.00788007 | − | 0.00572520i | ||||
\(823\) | −27.8787 | − | 30.9625i | −0.971792 | − | 1.07928i | −0.996827 | − | 0.0795973i | \(-0.974637\pi\) |
0.0250355 | − | 0.999687i | \(-0.492030\pi\) | |||||||
\(824\) | 2.00850 | + | 5.23232i | 0.0699695 | + | 0.182277i | ||||
\(825\) | −64.0809 | − | 24.5984i | −2.23101 | − | 0.856405i | ||||
\(826\) | −0.262410 | − | 5.00707i | −0.00913040 | − | 0.174218i | ||||
\(827\) | 31.6482 | − | 25.6282i | 1.10051 | − | 0.891179i | 0.105854 | − | 0.994382i | \(-0.466242\pi\) |
0.994660 | + | 0.103203i | \(0.0329091\pi\) | |||||||
\(828\) | 0.0395111 | + | 0.185885i | 0.00137310 | + | 0.00645995i | ||||
\(829\) | −6.76497 | + | 20.8204i | −0.234957 | + | 0.723124i | 0.762170 | + | 0.647377i | \(0.224134\pi\) |
−0.997127 | + | 0.0757466i | \(0.975866\pi\) | |||||||
\(830\) | −4.08379 | − | 6.28849i | −0.141750 | − | 0.218277i | ||||
\(831\) | 37.2779 | + | 21.5224i | 1.29316 | + | 0.746605i | ||||
\(832\) | 19.6635 | + | 14.8360i | 0.681708 | + | 0.514347i | ||||
\(833\) | −22.9656 | + | 7.46196i | −0.795709 | + | 0.258542i | ||||
\(834\) | −3.20211 | + | 3.95428i | −0.110880 | + | 0.136926i | ||||
\(835\) | −16.4109 | + | 22.5877i | −0.567924 | + | 0.781680i | ||||
\(836\) | −23.9119 | −0.827009 | ||||||||
\(837\) | −15.9196 | + | 23.9422i | −0.550264 | + | 0.827565i | ||||
\(838\) | 0.966247 | + | 0.966247i | 0.0333785 | + | 0.0333785i | ||||
\(839\) | −16.4118 | + | 2.59938i | −0.566599 | + | 0.0897404i | −0.433161 | − | 0.901317i | \(-0.642602\pi\) |
−0.133438 | + | 0.991057i | \(0.542602\pi\) | |||||||
\(840\) | 12.7089 | − | 15.6942i | 0.438499 | − | 0.541501i | ||||
\(841\) | −14.0478 | − | 43.2347i | −0.484407 | − | 1.49085i | ||||
\(842\) | −6.38138 | + | 3.68429i | −0.219917 | + | 0.126969i | ||||
\(843\) | 51.3133 | − | 13.7493i | 1.76732 | − | 0.473553i | ||||
\(844\) | −5.99728 | + | 28.2150i | −0.206435 | + | 0.971199i | ||||
\(845\) | −13.8512 | + | 45.1109i | −0.476495 | + | 1.55186i | ||||
\(846\) | 0.0349889 | − | 0.00743712i | 0.00120294 | − | 0.000255693i | ||||
\(847\) | 34.3914 | − | 27.8496i | 1.18170 | − | 0.956923i | ||||
\(848\) | 21.2828 | + | 19.1631i | 0.730853 | + | 0.658063i | ||||
\(849\) | −35.1461 | + | 15.6480i | −1.20621 | + | 0.537039i | ||||
\(850\) | 6.68979 | − | 2.56797i | 0.229458 | − | 0.0880807i | ||||
\(851\) | 0.160948 | − | 3.07108i | 0.00551724 | − | 0.105275i | ||||
\(852\) | −15.5562 | − | 2.46386i | −0.532947 | − | 0.0844104i | ||||
\(853\) | −2.49271 | + | 15.7383i | −0.0853487 | + | 0.538871i | 0.907553 | + | 0.419937i | \(0.137948\pi\) |
−0.992902 | + | 0.118934i | \(0.962052\pi\) | |||||||
\(854\) | −7.22710 | + | 6.50731i | −0.247306 | + | 0.222676i | ||||
\(855\) | 0.137520 | − | 0.308876i | 0.00470309 | − | 0.0105633i | ||||
\(856\) | 3.67257 | − | 9.56738i | 0.125526 | − | 0.327006i | ||||
\(857\) | 19.6766 | + | 17.7168i | 0.672138 | + | 0.605196i | 0.932869 | − | 0.360216i | \(-0.117297\pi\) |
−0.260731 | + | 0.965412i | \(0.583964\pi\) | |||||||
\(858\) | 6.45385 | − | 1.96890i | 0.220331 | − | 0.0672170i | ||||
\(859\) | −3.69712 | − | 17.3936i | −0.126144 | − | 0.593461i | −0.995126 | − | 0.0986166i | \(-0.968558\pi\) |
0.868981 | − | 0.494845i | \(-0.164775\pi\) | |||||||
\(860\) | −28.6158 | − | 56.1616i | −0.975789 | − | 1.91509i | ||||
\(861\) | −2.46246 | + | 11.5850i | −0.0839204 | + | 0.394814i | ||||
\(862\) | −4.06999 | − | 2.34981i | −0.138624 | − | 0.0800349i | ||||
\(863\) | −20.0343 | − | 5.36819i | −0.681977 | − | 0.182735i | −0.0988331 | − | 0.995104i | \(-0.531511\pi\) |
−0.583144 | + | 0.812369i | \(0.698178\pi\) | |||||||
\(864\) | −11.9035 | − | 6.06514i | −0.404966 | − | 0.206340i | ||||
\(865\) | 55.1644 | + | 44.6712i | 1.87565 | + | 1.51887i | ||||
\(866\) | 0.276348 | + | 1.74479i | 0.00939068 | + | 0.0592904i | ||||
\(867\) | 2.69442i | 0.0915075i | ||||||||
\(868\) | −0.426443 | + | 39.3639i | −0.0144744 | + | 1.33610i | ||||
\(869\) | −53.1121 | + | 53.1121i | −1.80170 | + | 1.80170i | ||||
\(870\) | 7.15227 | − | 9.84426i | 0.242485 | − | 0.333752i | ||||
\(871\) | −17.5459 | − | 5.04263i | −0.594520 | − | 0.170863i | ||||
\(872\) | −2.41117 | − | 7.42083i | −0.0816527 | − | 0.251301i | ||||
\(873\) | −0.0379918 | + | 0.141787i | −0.00128583 | + | 0.00479878i | ||||
\(874\) | 1.30825 | + | 0.755320i | 0.0442523 | + | 0.0255491i | ||||
\(875\) | −8.69139 | + | 40.8898i | −0.293823 | + | 1.38233i | ||||
\(876\) | 23.3632 | − | 11.9041i | 0.789369 | − | 0.402204i | ||||
\(877\) | 23.0823 | + | 14.9898i | 0.779435 | + | 0.506171i | 0.871982 | − | 0.489537i | \(-0.162834\pi\) |
−0.0925472 | + | 0.995708i | \(0.529501\pi\) | |||||||
\(878\) | 2.95277 | + | 3.64636i | 0.0996511 | + | 0.123059i | ||||
\(879\) | 48.3643 | − | 2.53466i | 1.63129 | − | 0.0854921i | ||||
\(880\) | 26.3468 | + | 59.1759i | 0.888151 | + | 1.99482i | ||||
\(881\) | 8.67602 | + | 3.86281i | 0.292303 | + | 0.130141i | 0.547649 | − | 0.836708i | \(-0.315523\pi\) |
−0.255347 | + | 0.966850i | \(0.582190\pi\) | |||||||
\(882\) | −0.0500467 | − | 0.00262284i | −0.00168516 | − | 8.83155e-5i | ||||
\(883\) | −4.00822 | + | 2.91214i | −0.134887 | + | 0.0980014i | −0.653183 | − | 0.757200i | \(-0.726567\pi\) |
0.518296 | + | 0.855202i | \(0.326567\pi\) | |||||||
\(884\) | 14.2516 | − | 23.6864i | 0.479334 | − | 0.796660i | ||||
\(885\) | −29.1634 | + | 26.2589i | −0.980318 | + | 0.882683i | ||||
\(886\) | 2.14469 | + | 5.58712i | 0.0720524 | + | 0.187703i | ||||
\(887\) | −51.1879 | + | 22.7903i | −1.71872 | + | 0.765225i | −0.721367 | + | 0.692553i | \(0.756486\pi\) |
−0.997356 | + | 0.0726714i | \(0.976848\pi\) | |||||||
\(888\) | −1.31724 | − | 1.18605i | −0.0442036 | − | 0.0398011i | ||||
\(889\) | 34.7636 | + | 42.9294i | 1.16593 | + | 1.43981i | ||||
\(890\) | −1.64372 | + | 2.53111i | −0.0550977 | + | 0.0848429i | ||||
\(891\) | 39.0962 | − | 19.9205i | 1.30977 | − | 0.667362i | ||||
\(892\) | −12.8463 | − | 19.7816i | −0.430127 | − | 0.662337i | ||||
\(893\) | −5.57931 | + | 9.66365i | −0.186705 | + | 0.323382i | ||||
\(894\) | 3.96875 | + | 6.87407i | 0.132735 | + | 0.229903i | ||||
\(895\) | 20.6919 | − | 40.6101i | 0.691653 | − | 1.35745i | ||||
\(896\) | −24.1461 | + | 2.53786i | −0.806665 | + | 0.0847839i | ||||
\(897\) | 16.2974 | + | 3.77288i | 0.544154 | + | 0.125973i | ||||
\(898\) | 2.87423i | 0.0959143i | ||||||||
\(899\) | 1.99456 | + | 48.0028i | 0.0665222 | + | 1.60098i | ||||
\(900\) | −0.583613 | −0.0194538 | ||||||||
\(901\) | 17.8643 | − | 24.5881i | 0.595147 | − | 0.819149i | ||||
\(902\) | 1.56472 | + | 1.26708i | 0.0520994 | + | 0.0421893i | ||||
\(903\) | −25.5350 | + | 50.1152i | −0.849751 | + | 1.66773i | ||||
\(904\) | −8.86164 | − | 2.37447i | −0.294734 | − | 0.0789737i | ||||
\(905\) | −58.4031 | + | 15.6491i | −1.94138 | + | 0.520192i | ||||
\(906\) | −1.20643 | − | 0.256436i | −0.0400811 | − | 0.00851950i | ||||
\(907\) | −46.8011 | − | 15.2066i | −1.55401 | − | 0.504927i | −0.598807 | − | 0.800893i | \(-0.704358\pi\) |
−0.955198 | + | 0.295966i | \(0.904358\pi\) | |||||||
\(908\) | 6.88247 | − | 10.5981i | 0.228403 | − | 0.351710i | ||||
\(909\) | −0.262833 | − | 0.0276248i | −0.00871761 | − | 0.000916258i | ||||
\(910\) | −4.63116 | − | 9.50980i | −0.153521 | − | 0.315247i | ||||
\(911\) | 22.1189 | + | 49.6800i | 0.732833 | + | 1.64597i | 0.762978 | + | 0.646425i | \(0.223737\pi\) |
−0.0301447 | + | 0.999546i | \(0.509597\pi\) | |||||||
\(912\) | −15.3374 | + | 5.88748i | −0.507873 | + | 0.194954i | ||||
\(913\) | −29.8678 | − | 33.1715i | −0.988479 | − | 1.09782i | ||||
\(914\) | 4.75927 | − | 3.45781i | 0.157423 | − | 0.114374i | ||||
\(915\) | 75.1790 | + | 11.9072i | 2.48534 | + | 0.393639i | ||||
\(916\) | −31.4357 | − | 1.64748i | −1.03866 | − | 0.0544341i | ||||
\(917\) | −46.1198 | + | 17.7037i | −1.52301 | + | 0.584629i | ||||
\(918\) | −1.62181 | + | 4.22496i | −0.0535277 | + | 0.139444i | ||||
\(919\) | −4.79803 | + | 5.32875i | −0.158272 | + | 0.175779i | −0.817065 | − | 0.576545i | \(-0.804401\pi\) |
0.658793 | + | 0.752324i | \(0.271067\pi\) | |||||||
\(920\) | 0.889663 | − | 8.46458i | 0.0293313 | − | 0.279069i | ||||
\(921\) | −15.9133 | − | 10.3342i | −0.524361 | − | 0.340524i | ||||
\(922\) | −0.309424 | + | 0.952310i | −0.0101903 | + | 0.0313627i | ||||
\(923\) | −9.35209 | + | 13.8471i | −0.307828 | + | 0.455781i | ||||
\(924\) | 29.6767 | − | 51.4015i | 0.976291 | − | 1.69098i | ||||
\(925\) | 9.12254 | + | 2.44438i | 0.299947 | + | 0.0803706i | ||||
\(926\) | −4.59288 | + | 1.49232i | −0.150931 | + | 0.0490406i | ||||
\(927\) | −0.231636 | + | 0.0243459i | −0.00760793 | + | 0.000799626i | ||||
\(928\) | −22.0491 | + | 3.49223i | −0.723796 | + | 0.114638i | ||||
\(929\) | 16.6971 | − | 16.6971i | 0.547814 | − | 0.547814i | −0.377994 | − | 0.925808i | \(-0.623386\pi\) |
0.925808 | + | 0.377994i | \(0.123386\pi\) | |||||||
\(930\) | −6.15483 | + | 4.87464i | −0.201825 | + | 0.159846i | ||||
\(931\) | 11.0545 | − | 11.0545i | 0.362298 | − | 0.362298i | ||||
\(932\) | 39.1362 | + | 28.4341i | 1.28195 | + | 0.931391i | ||||
\(933\) | 3.94660 | + | 37.5494i | 0.129206 | + | 1.22931i | ||||
\(934\) | 2.82437 | + | 1.43909i | 0.0924163 | + | 0.0470884i | ||||
\(935\) | 59.5331 | − | 34.3715i | 1.94694 | − | 1.12407i | ||||
\(936\) | 0.0916127 | − | 0.0714870i | 0.00299446 | − | 0.00233662i | ||||
\(937\) | −24.6185 | − | 5.23283i | −0.804252 | − | 0.170949i | −0.212597 | − | 0.977140i | \(-0.568192\pi\) |
−0.591655 | + | 0.806191i | \(0.701525\pi\) | |||||||
\(938\) | 3.64610 | − | 1.85778i | 0.119049 | − | 0.0606586i | ||||
\(939\) | −17.4092 | + | 3.70043i | −0.568127 | + | 0.120759i | ||||
\(940\) | 30.8693 | + | 3.24449i | 1.00684 | + | 0.105824i | ||||
\(941\) | 1.56811 | + | 29.9214i | 0.0511190 | + | 0.975408i | 0.896998 | + | 0.442034i | \(0.145743\pi\) |
−0.845879 | + | 0.533374i | \(0.820924\pi\) | |||||||
\(942\) | −2.54762 | + | 6.63677i | −0.0830059 | + | 0.216238i | ||||
\(943\) | 1.78885 | + | 4.66011i | 0.0582530 | + | 0.151754i | ||||
\(944\) | 22.9498 | + | 1.20275i | 0.746951 | + | 0.0391460i | ||||
\(945\) | −39.9435 | − | 54.9775i | −1.29936 | − | 1.78842i | ||||
\(946\) | 5.62019 | + | 7.73553i | 0.182728 | + | 0.251504i | ||||
\(947\) | −2.34720 | + | 44.7873i | −0.0762739 | + | 1.45539i | 0.645763 | + | 0.763538i | \(0.276539\pi\) |
−0.722037 | + | 0.691854i | \(0.756794\pi\) | |||||||
\(948\) | −21.5530 | + | 48.4089i | −0.700010 | + | 1.57225i | ||||
\(949\) | −0.954110 | − | 27.8017i | −0.0309717 | − | 0.902483i | ||||
\(950\) | −3.10425 | + | 3.44762i | −0.100715 | + | 0.111856i | ||||
\(951\) | −8.26968 | − | 10.2122i | −0.268163 | − | 0.331153i | ||||
\(952\) | 2.60938 | + | 12.2761i | 0.0845703 | + | 0.397872i | ||||
\(953\) | −7.81900 | + | 24.0644i | −0.253282 | + | 0.779522i | 0.740881 | + | 0.671636i | \(0.234408\pi\) |
−0.994163 | + | 0.107886i | \(0.965592\pi\) | |||||||
\(954\) | 0.0529005 | − | 0.0343540i | 0.00171272 | − | 0.00111225i | ||||
\(955\) | 34.9363 | − | 9.36115i | 1.13051 | − | 0.302920i | ||||
\(956\) | −3.17853 | + | 11.8625i | −0.102801 | + | 0.383659i | ||||
\(957\) | 32.8859 | − | 64.5422i | 1.06305 | − | 2.08635i | ||||
\(958\) | 0.627948 | + | 5.97453i | 0.0202881 | + | 0.193028i | ||||
\(959\) | −2.10836 | − | 1.53181i | −0.0680824 | − | 0.0494647i | ||||
\(960\) | 30.5575 | + | 30.5575i | 0.986239 | + | 0.986239i | ||||
\(961\) | 7.10066 | − | 30.1758i | 0.229054 | − | 0.973414i | ||||
\(962\) | −0.854821 | + | 0.362243i | −0.0275605 | + | 0.0116792i | ||||
\(963\) | 0.344547 | + | 0.250328i | 0.0111029 | + | 0.00806670i | ||||
\(964\) | 13.6947 | + | 11.0897i | 0.441076 | + | 0.357176i | ||||
\(965\) | 11.2193 | + | 34.5293i | 0.361161 | + | 1.11154i | ||||
\(966\) | −3.24731 | + | 1.87483i | −0.104480 | + | 0.0603218i | ||||
\(967\) | 6.13376 | + | 22.8915i | 0.197249 | + | 0.736142i | 0.991673 | + | 0.128779i | \(0.0411058\pi\) |
−0.794425 | + | 0.607363i | \(0.792228\pi\) | |||||||
\(968\) | −5.85483 | − | 9.01564i | −0.188181 | − | 0.289774i | ||||
\(969\) | 7.91517 | + | 15.5344i | 0.254272 | + | 0.499037i | ||||
\(970\) | 1.76777 | − | 2.72212i | 0.0567596 | − | 0.0874022i | ||||
\(971\) | −2.48624 | + | 23.6550i | −0.0797872 | + | 0.759125i | 0.879349 | + | 0.476179i | \(0.157978\pi\) |
−0.959136 | + | 0.282946i | \(0.908688\pi\) | |||||||
\(972\) | 0.496305 | − | 0.551203i | 0.0159190 | − | 0.0176798i | ||||
\(973\) | 44.3297 | + | 17.0166i | 1.42115 | + | 0.545527i | ||||
\(974\) | −1.89171 | − | 0.842244i | −0.0606143 | − | 0.0269872i | ||||
\(975\) | −21.7394 | + | 46.5472i | −0.696219 | + | 1.49070i | ||||
\(976\) | −26.2001 | − | 36.0614i | −0.838646 | − | 1.15430i | ||||
\(977\) | −6.51122 | − | 1.03128i | −0.208312 | − | 0.0329934i | 0.0514060 | − | 0.998678i | \(-0.483630\pi\) |
−0.259718 | + | 0.965684i | \(0.583630\pi\) | |||||||
\(978\) | −1.54801 | + | 1.39383i | −0.0494998 | + | 0.0445698i | ||||
\(979\) | −7.30752 | + | 16.4130i | −0.233549 | + | 0.524560i | ||||
\(980\) | −40.5984 | − | 15.5843i | −1.29687 | − | 0.497821i | ||||
\(981\) | 0.323817 | − | 0.0169705i | 0.0103387 | − | 0.000541828i | ||||
\(982\) | 4.03521 | − | 3.26765i | 0.128769 | − | 0.104275i | ||||
\(983\) | 20.7109 | + | 13.4498i | 0.660575 | + | 0.428982i | 0.830912 | − | 0.556404i | \(-0.187819\pi\) |
−0.170338 | + | 0.985386i | \(0.554486\pi\) | |||||||
\(984\) | 2.73624 | + | 0.889060i | 0.0872283 | + | 0.0283422i | ||||
\(985\) | 2.55027 | + | 0.542076i | 0.0812583 | + | 0.0172720i | ||||
\(986\) | 1.95724 | + | 7.30450i | 0.0623311 | + | 0.232623i | ||||
\(987\) | −13.8488 | − | 23.9868i | −0.440812 | − | 0.763510i | ||||
\(988\) | −1.25916 | + | 17.8525i | −0.0400593 | + | 0.567963i | ||||
\(989\) | 2.47787 | + | 23.5753i | 0.0787916 | + | 0.749652i | ||||
\(990\) | 0.140912 | − | 0.0223183i | 0.00447848 | − | 0.000709322i | ||||
\(991\) | 26.7656i | 0.850238i | 0.905137 | + | 0.425119i | \(0.139768\pi\) | ||||
−0.905137 | + | 0.425119i | \(0.860232\pi\) | |||||||
\(992\) | 14.3082 | + | 1.66075i | 0.454286 | + | 0.0527288i | ||||
\(993\) | −31.2539 | − | 31.2539i | −0.991812 | − | 0.991812i | ||||
\(994\) | −0.585909 | − | 3.69929i | −0.0185839 | − | 0.117334i | ||||
\(995\) | −13.1662 | + | 16.2590i | −0.417398 | + | 0.515444i | ||||
\(996\) | −28.0582 | − | 14.2964i | −0.889058 | − | 0.452998i | ||||
\(997\) | −13.1134 | − | 22.7131i | −0.415307 | − | 0.719332i | 0.580154 | − | 0.814507i | \(-0.302992\pi\) |
−0.995461 | + | 0.0951745i | \(0.969659\pi\) | |||||||
\(998\) | −2.53431 | + | 4.38955i | −0.0802222 | + | 0.138949i | ||||
\(999\) | −5.00234 | + | 3.24856i | −0.158267 | + | 0.102780i |
(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 | 403.2.cd.a.21.18 | ✓ | 576 | |
13.5 | odd | 4 | inner | 403.2.cd.a.83.18 | yes | 576 | |
31.3 | odd | 30 | inner | 403.2.cd.a.34.18 | yes | 576 | |
403.96 | even | 60 | inner | 403.2.cd.a.96.18 | yes | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cd.a.21.18 | ✓ | 576 | 1.1 | even | 1 | trivial | |
403.2.cd.a.34.18 | yes | 576 | 31.3 | odd | 30 | inner | |
403.2.cd.a.83.18 | yes | 576 | 13.5 | odd | 4 | inner | |
403.2.cd.a.96.18 | yes | 576 | 403.96 | even | 60 | inner |