Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(68,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.68");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.r (of order \(6\), degree \(2\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.3 | ||
Character | \(\chi\) | \(=\) | 273.269 |
Dual form | 273.2.r.b.68.30 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.39671i | − | 1.69473i | −0.531013 | − | 0.847364i | \(-0.678188\pi\) | ||
0.531013 | − | 0.847364i | \(-0.321812\pi\) | |||||||
\(3\) | 1.36987 | − | 1.05994i | 0.790893 | − | 0.611954i | ||||
\(4\) | −3.74420 | −1.87210 | ||||||||
\(5\) | −1.10064 | − | 1.90637i | −0.492223 | − | 0.852555i | 0.507737 | − | 0.861512i | \(-0.330482\pi\) |
−0.999960 | + | 0.00895706i | \(0.997149\pi\) | |||||||
\(6\) | −2.54036 | − | 3.28317i | −1.03710 | − | 1.34035i | ||||
\(7\) | −1.62460 | + | 2.08822i | −0.614042 | + | 0.789273i | ||||
\(8\) | 4.18035i | 1.47798i | ||||||||
\(9\) | 0.753071 | − | 2.90394i | 0.251024 | − | 0.967981i | ||||
\(10\) | −4.56901 | + | 2.63792i | −1.44485 | + | 0.834184i | ||||
\(11\) | −1.30172 | + | 0.751546i | −0.392482 | + | 0.226600i | −0.683235 | − | 0.730199i | \(-0.739428\pi\) |
0.290753 | + | 0.956798i | \(0.406094\pi\) | |||||||
\(12\) | −5.12906 | + | 3.96862i | −1.48063 | + | 1.14564i | ||||
\(13\) | 3.47069 | − | 0.976871i | 0.962598 | − | 0.270935i | ||||
\(14\) | 5.00485 | + | 3.89370i | 1.33760 | + | 1.04063i | ||||
\(15\) | −3.52837 | − | 1.44486i | −0.911021 | − | 0.373062i | ||||
\(16\) | 2.53065 | 0.632664 | ||||||||
\(17\) | 4.90720 | 1.19017 | 0.595085 | − | 0.803662i | \(-0.297118\pi\) | ||||
0.595085 | + | 0.803662i | \(0.297118\pi\) | |||||||
\(18\) | −6.95990 | − | 1.80489i | −1.64046 | − | 0.425417i | ||||
\(19\) | −2.77060 | − | 1.59960i | −0.635618 | − | 0.366974i | 0.147306 | − | 0.989091i | \(-0.452940\pi\) |
−0.782925 | + | 0.622117i | \(0.786273\pi\) | |||||||
\(20\) | 4.12104 | + | 7.13784i | 0.921491 | + | 1.59607i | ||||
\(21\) | −0.0121093 | + | 4.58256i | −0.00264246 | + | 0.999997i | ||||
\(22\) | 1.80123 | + | 3.11983i | 0.384025 | + | 0.665150i | ||||
\(23\) | − | 4.94443i | − | 1.03099i | −0.856894 | − | 0.515493i | \(-0.827609\pi\) | ||
0.856894 | − | 0.515493i | \(-0.172391\pi\) | |||||||
\(24\) | 4.43090 | + | 5.72652i | 0.904454 | + | 1.16892i | ||||
\(25\) | 0.0771661 | − | 0.133656i | 0.0154332 | − | 0.0267311i | ||||
\(26\) | −2.34127 | − | 8.31824i | −0.459161 | − | 1.63134i | ||||
\(27\) | −2.04639 | − | 4.77622i | −0.393827 | − | 0.919184i | ||||
\(28\) | 6.08284 | − | 7.81872i | 1.14955 | − | 1.47760i | ||||
\(29\) | 0.775914 | + | 0.447974i | 0.144084 | + | 0.0831867i | 0.570309 | − | 0.821430i | \(-0.306824\pi\) |
−0.426225 | + | 0.904617i | \(0.640157\pi\) | |||||||
\(30\) | −3.46291 | + | 8.45646i | −0.632238 | + | 1.54393i | ||||
\(31\) | 2.33226 | + | 1.34653i | 0.418886 | + | 0.241844i | 0.694601 | − | 0.719395i | \(-0.255581\pi\) |
−0.275714 | + | 0.961240i | \(0.588914\pi\) | |||||||
\(32\) | 2.29545i | 0.405783i | ||||||||
\(33\) | −0.986586 | + | 2.40925i | −0.171743 | + | 0.419397i | ||||
\(34\) | − | 11.7611i | − | 2.01702i | ||||||
\(35\) | 5.76903 | + | 0.798709i | 0.975145 | + | 0.135006i | ||||
\(36\) | −2.81965 | + | 10.8730i | −0.469942 | + | 1.81216i | ||||
\(37\) | 10.0463 | 1.65160 | 0.825800 | − | 0.563964i | \(-0.190724\pi\) | ||||
0.825800 | + | 0.563964i | \(0.190724\pi\) | |||||||
\(38\) | −3.83378 | + | 6.64031i | −0.621922 | + | 1.07720i | ||||
\(39\) | 3.71897 | − | 5.01690i | 0.595512 | − | 0.803347i | ||||
\(40\) | 7.96929 | − | 4.60107i | 1.26006 | − | 0.727493i | ||||
\(41\) | −4.98596 | + | 8.63593i | −0.778676 | + | 1.34871i | 0.154030 | + | 0.988066i | \(0.450775\pi\) |
−0.932705 | + | 0.360639i | \(0.882559\pi\) | |||||||
\(42\) | 10.9831 | + | 0.0290223i | 1.69472 | + | 0.00447825i | ||||
\(43\) | −0.820714 | − | 1.42152i | −0.125158 | − | 0.216780i | 0.796637 | − | 0.604458i | \(-0.206610\pi\) |
−0.921795 | + | 0.387679i | \(0.873277\pi\) | |||||||
\(44\) | 4.87389 | − | 2.81394i | 0.734766 | − | 0.424217i | ||||
\(45\) | −6.36486 | + | 1.76057i | −0.948817 | + | 0.262451i | ||||
\(46\) | −11.8504 | −1.74724 | ||||||||
\(47\) | 0.165217 | + | 0.286164i | 0.0240993 | + | 0.0417413i | 0.877824 | − | 0.478984i | \(-0.158995\pi\) |
−0.853724 | + | 0.520725i | \(0.825662\pi\) | |||||||
\(48\) | 3.46666 | − | 2.68233i | 0.500369 | − | 0.387161i | ||||
\(49\) | −1.72133 | − | 6.78506i | −0.245904 | − | 0.969294i | ||||
\(50\) | −0.320334 | − | 0.184945i | −0.0453020 | − | 0.0261551i | ||||
\(51\) | 6.72221 | − | 5.20132i | 0.941298 | − | 0.728330i | ||||
\(52\) | −12.9950 | + | 3.65760i | −1.80208 | + | 0.507218i | ||||
\(53\) | 5.36111 | + | 3.09524i | 0.736404 | + | 0.425163i | 0.820761 | − | 0.571272i | \(-0.193550\pi\) |
−0.0843561 | + | 0.996436i | \(0.526883\pi\) | |||||||
\(54\) | −11.4472 | + | 4.90459i | −1.55777 | + | 0.667430i | ||||
\(55\) | 2.86545 | + | 1.65437i | 0.386377 | + | 0.223075i | ||||
\(56\) | −8.72948 | − | 6.79140i | −1.16653 | − | 0.907539i | ||||
\(57\) | −5.49083 | + | 0.745410i | −0.727278 | + | 0.0987319i | ||||
\(58\) | 1.07366 | − | 1.85964i | 0.140979 | − | 0.244182i | ||||
\(59\) | −13.8477 | −1.80282 | −0.901410 | − | 0.432966i | \(-0.857467\pi\) | ||||
−0.901410 | + | 0.432966i | \(0.857467\pi\) | |||||||
\(60\) | 13.2109 | + | 5.40986i | 1.70552 | + | 0.698410i | ||||
\(61\) | 2.44902 | + | 1.41394i | 0.313565 | + | 0.181037i | 0.648521 | − | 0.761197i | \(-0.275388\pi\) |
−0.334956 | + | 0.942234i | \(0.608721\pi\) | |||||||
\(62\) | 3.22724 | − | 5.58975i | 0.409860 | − | 0.709899i | ||||
\(63\) | 4.84063 | + | 6.29033i | 0.609862 | + | 0.792507i | ||||
\(64\) | 10.5628 | 1.32035 | ||||||||
\(65\) | −5.68228 | − | 5.54125i | −0.704800 | − | 0.687307i | ||||
\(66\) | 5.77427 | + | 2.36456i | 0.710764 | + | 0.291057i | ||||
\(67\) | 3.46728 | + | 6.00551i | 0.423596 | + | 0.733690i | 0.996288 | − | 0.0860807i | \(-0.0274343\pi\) |
−0.572692 | + | 0.819771i | \(0.694101\pi\) | |||||||
\(68\) | −18.3736 | −2.22812 | ||||||||
\(69\) | −5.24078 | − | 6.77322i | −0.630916 | − | 0.815399i | ||||
\(70\) | 1.91427 | − | 13.8267i | 0.228799 | − | 1.65260i | ||||
\(71\) | 13.9370 | − | 8.04655i | 1.65402 | − | 0.954950i | 0.678628 | − | 0.734482i | \(-0.262575\pi\) |
0.975394 | − | 0.220469i | \(-0.0707586\pi\) | |||||||
\(72\) | 12.1395 | + | 3.14810i | 1.43065 | + | 0.371007i | ||||
\(73\) | −2.87045 | − | 1.65726i | −0.335961 | − | 0.193967i | 0.322524 | − | 0.946561i | \(-0.395469\pi\) |
−0.658485 | + | 0.752594i | \(0.728802\pi\) | |||||||
\(74\) | − | 24.0780i | − | 2.79901i | ||||||
\(75\) | −0.0359591 | − | 0.264882i | −0.00415220 | − | 0.0305859i | ||||
\(76\) | 10.3737 | + | 5.98924i | 1.18994 | + | 0.687014i | ||||
\(77\) | 0.545377 | − | 3.93923i | 0.0621515 | − | 0.448917i | ||||
\(78\) | −12.0240 | − | 8.91328i | −1.36145 | − | 1.00923i | ||||
\(79\) | −3.02508 | − | 5.23959i | −0.340348 | − | 0.589500i | 0.644149 | − | 0.764900i | \(-0.277211\pi\) |
−0.984497 | + | 0.175400i | \(0.943878\pi\) | |||||||
\(80\) | −2.78535 | − | 4.82437i | −0.311412 | − | 0.539381i | ||||
\(81\) | −7.86577 | − | 4.37375i | −0.873974 | − | 0.485972i | ||||
\(82\) | 20.6978 | + | 11.9499i | 2.28569 | + | 1.31964i | ||||
\(83\) | −2.74309 | −0.301094 | −0.150547 | − | 0.988603i | \(-0.548103\pi\) | ||||
−0.150547 | + | 0.988603i | \(0.548103\pi\) | |||||||
\(84\) | 0.0453395 | − | 17.1580i | 0.00494695 | − | 1.87210i | ||||
\(85\) | −5.40108 | − | 9.35495i | −0.585829 | − | 1.01469i | ||||
\(86\) | −3.40696 | + | 1.96701i | −0.367382 | + | 0.212108i | ||||
\(87\) | 1.53772 | − | 0.208754i | 0.164861 | − | 0.0223808i | ||||
\(88\) | −3.14172 | − | 5.44162i | −0.334909 | − | 0.580079i | ||||
\(89\) | 12.6297 | 1.33874 | 0.669372 | − | 0.742928i | \(-0.266563\pi\) | ||||
0.669372 | + | 0.742928i | \(0.266563\pi\) | |||||||
\(90\) | 4.21958 | + | 15.2547i | 0.444783 | + | 1.60799i | ||||
\(91\) | −3.59858 | + | 8.83460i | −0.377234 | + | 0.926118i | ||||
\(92\) | 18.5130i | 1.93011i | ||||||||
\(93\) | 4.62213 | − | 0.627479i | 0.479292 | − | 0.0650665i | ||||
\(94\) | 0.685851 | − | 0.395976i | 0.0707401 | − | 0.0408418i | ||||
\(95\) | 7.04238i | 0.722533i | ||||||||
\(96\) | 2.43303 | + | 3.14446i | 0.248320 | + | 0.320931i | ||||
\(97\) | −11.5690 | + | 6.67939i | −1.17466 | + | 0.678190i | −0.954773 | − | 0.297336i | \(-0.903902\pi\) |
−0.219886 | + | 0.975526i | \(0.570568\pi\) | |||||||
\(98\) | −16.2618 | + | 4.12552i | −1.64269 | + | 0.416741i | ||||
\(99\) | 1.20216 | + | 4.34607i | 0.120822 | + | 0.436797i | ||||
\(100\) | −0.288926 | + | 0.500434i | −0.0288926 | + | 0.0500434i | ||||
\(101\) | 8.75688 | + | 15.1674i | 0.871342 | + | 1.50921i | 0.860609 | + | 0.509267i | \(0.170083\pi\) |
0.0107340 | + | 0.999942i | \(0.496583\pi\) | |||||||
\(102\) | −12.4660 | − | 16.1112i | −1.23432 | − | 1.59524i | ||||
\(103\) | 2.76437 | − | 1.59601i | 0.272381 | − | 0.157259i | −0.357588 | − | 0.933879i | \(-0.616401\pi\) |
0.629969 | + | 0.776620i | \(0.283067\pi\) | |||||||
\(104\) | 4.08366 | + | 14.5087i | 0.400436 | + | 1.42270i | ||||
\(105\) | 8.74939 | − | 5.02068i | 0.853853 | − | 0.489968i | ||||
\(106\) | 7.41837 | − | 12.8490i | 0.720536 | − | 1.24801i | ||||
\(107\) | 2.05885i | 0.199036i | 0.995036 | + | 0.0995181i | \(0.0317301\pi\) | ||||
−0.995036 | + | 0.0995181i | \(0.968270\pi\) | |||||||
\(108\) | 7.66209 | + | 17.8831i | 0.737285 | + | 1.72081i | ||||
\(109\) | 2.54162 | − | 4.40221i | 0.243443 | − | 0.421656i | −0.718250 | − | 0.695785i | \(-0.755056\pi\) |
0.961693 | + | 0.274130i | \(0.0883898\pi\) | |||||||
\(110\) | 3.96504 | − | 6.86764i | 0.378051 | − | 0.654804i | ||||
\(111\) | 13.7621 | − | 10.6484i | 1.30624 | − | 1.01070i | ||||
\(112\) | −4.11131 | + | 5.28457i | −0.388482 | + | 0.499345i | ||||
\(113\) | 3.72227 | − | 2.14905i | 0.350161 | − | 0.202166i | −0.314595 | − | 0.949226i | \(-0.601869\pi\) |
0.664756 | + | 0.747060i | \(0.268535\pi\) | |||||||
\(114\) | 1.78653 | + | 13.1599i | 0.167324 | + | 1.23254i | ||||
\(115\) | −9.42593 | + | 5.44206i | −0.878972 | + | 0.507475i | ||||
\(116\) | −2.90518 | − | 1.67731i | −0.269739 | − | 0.155734i | ||||
\(117\) | −0.223099 | − | 10.8144i | −0.0206255 | − | 0.999787i | ||||
\(118\) | 33.1889i | 3.05529i | ||||||||
\(119\) | −7.97225 | + | 10.2473i | −0.730815 | + | 0.939370i | ||||
\(120\) | 6.04002 | − | 14.7498i | 0.551376 | − | 1.34647i | ||||
\(121\) | −4.37036 | + | 7.56968i | −0.397305 | + | 0.688153i | ||||
\(122\) | 3.38881 | − | 5.86959i | 0.306808 | − | 0.531408i | ||||
\(123\) | 2.32344 | + | 17.1149i | 0.209497 | + | 1.54320i | ||||
\(124\) | −8.73246 | − | 5.04169i | −0.784198 | − | 0.452757i | ||||
\(125\) | −11.3462 | −1.01483 | ||||||||
\(126\) | 15.0761 | − | 11.6016i | 1.34308 | − | 1.03355i | ||||
\(127\) | −8.84285 | + | 15.3163i | −0.784676 | + | 1.35910i | 0.144516 | + | 0.989502i | \(0.453837\pi\) |
−0.929192 | + | 0.369596i | \(0.879496\pi\) | |||||||
\(128\) | − | 20.7251i | − | 1.83186i | ||||||
\(129\) | −2.63099 | − | 1.07739i | −0.231646 | − | 0.0948586i | ||||
\(130\) | −13.2807 | + | 13.6188i | −1.16480 | + | 1.19444i | ||||
\(131\) | 6.22200 | + | 10.7768i | 0.543619 | + | 0.941576i | 0.998692 | + | 0.0511218i | \(0.0162797\pi\) |
−0.455073 | + | 0.890454i | \(0.650387\pi\) | |||||||
\(132\) | 3.69398 | − | 9.02073i | 0.321520 | − | 0.785154i | ||||
\(133\) | 7.84145 | − | 3.18689i | 0.679940 | − | 0.276339i | ||||
\(134\) | 14.3934 | − | 8.31006i | 1.24340 | − | 0.717880i | ||||
\(135\) | −6.85291 | + | 9.15809i | −0.589804 | + | 0.788203i | ||||
\(136\) | 20.5138i | 1.75904i | ||||||||
\(137\) | − | 9.44464i | − | 0.806910i | −0.914999 | − | 0.403455i | \(-0.867809\pi\) | ||
0.914999 | − | 0.403455i | \(-0.132191\pi\) | |||||||
\(138\) | −16.2334 | + | 12.5606i | −1.38188 | + | 1.06923i | ||||
\(139\) | −3.90386 | + | 2.25389i | −0.331121 | + | 0.191173i | −0.656339 | − | 0.754466i | \(-0.727896\pi\) |
0.325218 | + | 0.945639i | \(0.394562\pi\) | |||||||
\(140\) | −21.6004 | − | 2.99053i | −1.82557 | − | 0.252746i | ||||
\(141\) | 0.529640 | + | 0.216887i | 0.0446038 | + | 0.0182652i | ||||
\(142\) | −19.2852 | − | 33.4030i | −1.61838 | − | 2.80312i | ||||
\(143\) | −3.78369 | + | 3.87999i | −0.316408 | + | 0.324461i | ||||
\(144\) | 1.90576 | − | 7.34888i | 0.158813 | − | 0.612406i | ||||
\(145\) | − | 1.97224i | − | 0.163786i | ||||||
\(146\) | −3.97196 | + | 6.87963i | −0.328722 | + | 0.569362i | ||||
\(147\) | −9.54972 | − | 7.47013i | −0.787648 | − | 0.616126i | ||||
\(148\) | −37.6153 | −3.09196 | ||||||||
\(149\) | 16.3166 | + | 9.42041i | 1.33671 | + | 0.771750i | 0.986318 | − | 0.164853i | \(-0.0527150\pi\) |
0.350392 | + | 0.936603i | \(0.386048\pi\) | |||||||
\(150\) | −0.634844 | + | 0.0861835i | −0.0518348 | + | 0.00703686i | ||||
\(151\) | −4.12058 | + | 7.13706i | −0.335328 | + | 0.580805i | −0.983548 | − | 0.180648i | \(-0.942181\pi\) |
0.648220 | + | 0.761453i | \(0.275514\pi\) | |||||||
\(152\) | 6.68690 | − | 11.5820i | 0.542379 | − | 0.939428i | ||||
\(153\) | 3.69547 | − | 14.2502i | 0.298761 | − | 1.15206i | ||||
\(154\) | −9.44119 | − | 1.30711i | −0.760792 | − | 0.105330i | ||||
\(155\) | − | 5.92821i | − | 0.476165i | ||||||
\(156\) | −13.9246 | + | 18.7843i | −1.11486 | + | 1.50395i | ||||
\(157\) | 12.0751 | + | 6.97157i | 0.963699 | + | 0.556392i | 0.897310 | − | 0.441402i | \(-0.145519\pi\) |
0.0663895 | + | 0.997794i | \(0.478852\pi\) | |||||||
\(158\) | −12.5578 | + | 7.25023i | −0.999042 | + | 0.576797i | ||||
\(159\) | 10.6248 | − | 1.44237i | 0.842598 | − | 0.114387i | ||||
\(160\) | 4.37599 | − | 2.52648i | 0.345952 | − | 0.199735i | ||||
\(161\) | 10.3251 | + | 8.03274i | 0.813729 | + | 0.633069i | ||||
\(162\) | −10.4826 | + | 18.8519i | −0.823590 | + | 1.48115i | ||||
\(163\) | −5.61643 | + | 9.72795i | −0.439913 | + | 0.761952i | −0.997682 | − | 0.0680444i | \(-0.978324\pi\) |
0.557769 | + | 0.829996i | \(0.311657\pi\) | |||||||
\(164\) | 18.6684 | − | 32.3347i | 1.45776 | − | 2.52491i | ||||
\(165\) | 5.67881 | − | 0.770930i | 0.442095 | − | 0.0600168i | ||||
\(166\) | 6.57439i | 0.510272i | ||||||||
\(167\) | 2.80640 | − | 4.86082i | 0.217165 | − | 0.376142i | −0.736775 | − | 0.676138i | \(-0.763652\pi\) |
0.953940 | + | 0.299997i | \(0.0969855\pi\) | |||||||
\(168\) | −19.1567 | − | 0.0506209i | −1.47797 | − | 0.00390549i | ||||
\(169\) | 11.0914 | − | 6.78084i | 0.853188 | − | 0.521603i | ||||
\(170\) | −22.4211 | + | 12.9448i | −1.71962 | + | 0.992821i | ||||
\(171\) | −6.73161 | + | 6.84104i | −0.514779 | + | 0.523147i | ||||
\(172\) | 3.07292 | + | 5.32246i | 0.234308 | + | 0.405834i | ||||
\(173\) | −11.9534 | + | 20.7038i | −0.908797 | + | 1.57408i | −0.0930589 | + | 0.995661i | \(0.529664\pi\) |
−0.815738 | + | 0.578422i | \(0.803669\pi\) | |||||||
\(174\) | −0.500323 | − | 3.68547i | −0.0379294 | − | 0.279395i | ||||
\(175\) | 0.153738 | + | 0.378277i | 0.0116215 | + | 0.0285951i | ||||
\(176\) | −3.29419 | + | 1.90190i | −0.248309 | + | 0.143361i | ||||
\(177\) | −18.9695 | + | 14.6777i | −1.42584 | + | 1.10324i | ||||
\(178\) | − | 30.2696i | − | 2.26881i | ||||||
\(179\) | 16.9456 | − | 9.78353i | 1.26657 | − | 0.731255i | 0.292233 | − | 0.956347i | \(-0.405602\pi\) |
0.974338 | + | 0.225092i | \(0.0722682\pi\) | |||||||
\(180\) | 23.8313 | − | 6.59195i | 1.77628 | − | 0.491335i | ||||
\(181\) | 1.52824i | 0.113593i | 0.998386 | + | 0.0567967i | \(0.0180887\pi\) | ||||
−0.998386 | + | 0.0567967i | \(0.981911\pi\) | |||||||
\(182\) | 21.1740 | + | 8.62474i | 1.56952 | + | 0.639308i | ||||
\(183\) | 4.85352 | − | 0.658893i | 0.358783 | − | 0.0487067i | ||||
\(184\) | 20.6694 | 1.52377 | ||||||||
\(185\) | −11.0574 | − | 19.1519i | −0.812955 | − | 1.40808i | ||||
\(186\) | −1.50388 | − | 11.0779i | −0.110270 | − | 0.812270i | ||||
\(187\) | −6.38778 | + | 3.68799i | −0.467121 | + | 0.269692i | ||||
\(188\) | −0.618605 | − | 1.07146i | −0.0451164 | − | 0.0781439i | ||||
\(189\) | 13.2984 | + | 3.48616i | 0.967314 | + | 0.253581i | ||||
\(190\) | 16.8785 | 1.22450 | ||||||||
\(191\) | −5.34689 | − | 3.08703i | −0.386887 | − | 0.223370i | 0.293923 | − | 0.955829i | \(-0.405039\pi\) |
−0.680811 | + | 0.732459i | \(0.738372\pi\) | |||||||
\(192\) | 14.4697 | − | 11.1959i | 1.04426 | − | 0.807997i | ||||
\(193\) | −5.22852 | − | 9.05607i | −0.376357 | − | 0.651870i | 0.614172 | − | 0.789172i | \(-0.289490\pi\) |
−0.990529 | + | 0.137302i | \(0.956157\pi\) | |||||||
\(194\) | 16.0085 | + | 27.7276i | 1.14935 | + | 1.99073i | ||||
\(195\) | −13.6573 | − | 1.56792i | −0.978022 | − | 0.112281i | ||||
\(196\) | 6.44501 | + | 25.4046i | 0.460358 | + | 1.81462i | ||||
\(197\) | −4.00557 | − | 2.31262i | −0.285385 | − | 0.164767i | 0.350474 | − | 0.936573i | \(-0.386021\pi\) |
−0.635859 | + | 0.771805i | \(0.719354\pi\) | |||||||
\(198\) | 10.4163 | − | 2.88123i | 0.740252 | − | 0.204760i | ||||
\(199\) | − | 8.76573i | − | 0.621386i | −0.950510 | − | 0.310693i | \(-0.899439\pi\) | ||
0.950510 | − | 0.310693i | \(-0.100561\pi\) | |||||||
\(200\) | 0.558727 | + | 0.322581i | 0.0395080 | + | 0.0228099i | ||||
\(201\) | 11.1152 | + | 4.55165i | 0.784004 | + | 0.321049i | ||||
\(202\) | 36.3517 | − | 20.9877i | 2.55770 | − | 1.47669i | ||||
\(203\) | −2.19602 | + | 0.892499i | −0.154130 | + | 0.0626412i | ||||
\(204\) | −25.1693 | + | 19.4748i | −1.76221 | + | 1.36351i | ||||
\(205\) | 21.9510 | 1.53313 | ||||||||
\(206\) | −3.82517 | − | 6.62538i | −0.266512 | − | 0.461612i | ||||
\(207\) | −14.3584 | − | 3.72351i | −0.997975 | − | 0.258802i | ||||
\(208\) | 8.78313 | − | 2.47212i | 0.609001 | − | 0.171411i | ||||
\(209\) | 4.80870 | 0.332625 | ||||||||
\(210\) | −12.0331 | − | 20.9697i | −0.830363 | − | 1.44705i | ||||
\(211\) | 0.494306 | − | 0.856163i | 0.0340294 | − | 0.0589407i | −0.848509 | − | 0.529181i | \(-0.822499\pi\) |
0.882539 | + | 0.470240i | \(0.155833\pi\) | |||||||
\(212\) | −20.0731 | − | 11.5892i | −1.37862 | − | 0.795949i | ||||
\(213\) | 10.5631 | − | 25.7951i | 0.723769 | − | 1.76745i | ||||
\(214\) | 4.93445 | 0.337312 | ||||||||
\(215\) | −1.80663 | + | 3.12917i | −0.123211 | + | 0.213408i | ||||
\(216\) | 19.9663 | − | 8.55461i | 1.35853 | − | 0.582067i | ||||
\(217\) | −6.60085 | + | 2.68270i | −0.448095 | + | 0.182113i | ||||
\(218\) | −10.5508 | − | 6.09152i | −0.714591 | − | 0.412570i | ||||
\(219\) | −5.68872 | + | 0.772275i | −0.384408 | + | 0.0521855i | ||||
\(220\) | −10.7288 | − | 6.19429i | −0.723338 | − | 0.417619i | ||||
\(221\) | 17.0314 | − | 4.79370i | 1.14566 | − | 0.322459i | ||||
\(222\) | −25.5211 | − | 32.9837i | −1.71287 | − | 2.21372i | ||||
\(223\) | −18.4022 | − | 10.6245i | −1.23230 | − | 0.711471i | −0.264795 | − | 0.964305i | \(-0.585304\pi\) |
−0.967510 | + | 0.252833i | \(0.918638\pi\) | |||||||
\(224\) | −4.79341 | − | 3.72920i | −0.320273 | − | 0.249168i | ||||
\(225\) | −0.330017 | − | 0.324738i | −0.0220011 | − | 0.0216492i | ||||
\(226\) | −5.15065 | − | 8.92118i | −0.342616 | − | 0.593428i | ||||
\(227\) | −3.98583 | −0.264549 | −0.132274 | − | 0.991213i | \(-0.542228\pi\) | ||||
−0.132274 | + | 0.991213i | \(0.542228\pi\) | |||||||
\(228\) | 20.5588 | − | 2.79097i | 1.36154 | − | 0.184836i | ||||
\(229\) | 1.31206 | − | 0.757520i | 0.0867036 | − | 0.0500583i | −0.456021 | − | 0.889969i | \(-0.650726\pi\) |
0.542725 | + | 0.839910i | \(0.317393\pi\) | |||||||
\(230\) | 13.0430 | + | 22.5912i | 0.860032 | + | 1.48962i | ||||
\(231\) | −3.42824 | − | 5.97429i | −0.225562 | − | 0.393079i | ||||
\(232\) | −1.87269 | + | 3.24359i | −0.122948 | + | 0.212952i | ||||
\(233\) | −5.86812 | + | 3.38796i | −0.384433 | + | 0.221953i | −0.679745 | − | 0.733448i | \(-0.737910\pi\) |
0.295312 | + | 0.955401i | \(0.404576\pi\) | |||||||
\(234\) | −25.9188 | + | 0.534703i | −1.69437 | + | 0.0349546i | ||||
\(235\) | 0.363690 | − | 0.629929i | 0.0237245 | − | 0.0410920i | ||||
\(236\) | 51.8487 | 3.37506 | ||||||||
\(237\) | −9.69758 | − | 3.97115i | −0.629926 | − | 0.257954i | ||||
\(238\) | 24.5598 | + | 19.1072i | 1.59198 | + | 1.23853i | ||||
\(239\) | − | 15.4434i | − | 0.998954i | −0.866327 | − | 0.499477i | \(-0.833526\pi\) | ||
0.866327 | − | 0.499477i | \(-0.166474\pi\) | |||||||
\(240\) | −8.92908 | − | 3.65645i | −0.576370 | − | 0.236023i | ||||
\(241\) | 7.03908i | 0.453427i | 0.973962 | + | 0.226713i | \(0.0727981\pi\) | ||||
−0.973962 | + | 0.226713i | \(0.927202\pi\) | |||||||
\(242\) | 18.1423 | + | 10.4745i | 1.16623 | + | 0.673324i | ||||
\(243\) | −15.4110 | + | 2.34576i | −0.988613 | + | 0.150481i | ||||
\(244\) | −9.16964 | − | 5.29409i | −0.587026 | − | 0.338920i | ||||
\(245\) | −11.0403 | + | 10.7494i | −0.705337 | + | 0.686756i | ||||
\(246\) | 41.0193 | − | 5.56860i | 2.61530 | − | 0.355041i | ||||
\(247\) | −11.1785 | − | 2.84522i | −0.711271 | − | 0.181037i | ||||
\(248\) | −5.62897 | + | 9.74966i | −0.357440 | + | 0.619104i | ||||
\(249\) | −3.75767 | + | 2.90750i | −0.238133 | + | 0.184256i | ||||
\(250\) | 27.1934i | 1.71986i | ||||||||
\(251\) | 1.69284 | + | 2.93209i | 0.106851 | + | 0.185072i | 0.914493 | − | 0.404602i | \(-0.132590\pi\) |
−0.807642 | + | 0.589673i | \(0.799256\pi\) | |||||||
\(252\) | −18.1243 | − | 23.5523i | −1.14172 | − | 1.48365i | ||||
\(253\) | 3.71597 | + | 6.43625i | 0.233621 | + | 0.404643i | ||||
\(254\) | 36.7086 | + | 21.1937i | 2.30330 | + | 1.32981i | ||||
\(255\) | −17.3144 | − | 7.09023i | −1.08427 | − | 0.444007i | ||||
\(256\) | −28.5464 | −1.78415 | ||||||||
\(257\) | −20.6197 | −1.28622 | −0.643112 | − | 0.765772i | \(-0.722357\pi\) | ||||
−0.643112 | + | 0.765772i | \(0.722357\pi\) | |||||||
\(258\) | −2.58218 | + | 6.30571i | −0.160760 | + | 0.392576i | ||||
\(259\) | −16.3212 | + | 20.9789i | −1.01415 | + | 1.30356i | ||||
\(260\) | 21.2756 | + | 20.7476i | 1.31946 | + | 1.28671i | ||||
\(261\) | 1.88521 | − | 1.91585i | 0.116692 | − | 0.118588i | ||||
\(262\) | 25.8289 | − | 14.9123i | 1.59571 | − | 0.921286i | ||||
\(263\) | 4.80598 | − | 2.77473i | 0.296349 | − | 0.171097i | −0.344452 | − | 0.938804i | \(-0.611935\pi\) |
0.640802 | + | 0.767706i | \(0.278602\pi\) | |||||||
\(264\) | −10.0715 | − | 4.12427i | −0.619859 | − | 0.253831i | ||||
\(265\) | − | 13.6270i | − | 0.837100i | ||||||
\(266\) | −7.63805 | − | 18.7936i | −0.468319 | − | 1.15231i | ||||
\(267\) | 17.3010 | − | 13.3867i | 1.05880 | − | 0.819250i | ||||
\(268\) | −12.9822 | − | 22.4859i | −0.793015 | − | 1.37354i | ||||
\(269\) | −9.16772 | −0.558966 | −0.279483 | − | 0.960151i | \(-0.590163\pi\) | ||||
−0.279483 | + | 0.960151i | \(0.590163\pi\) | |||||||
\(270\) | 21.9493 | + | 16.4244i | 1.33579 | + | 0.999558i | ||||
\(271\) | − | 6.82441i | − | 0.414553i | −0.978282 | − | 0.207277i | \(-0.933540\pi\) | ||
0.978282 | − | 0.207277i | \(-0.0664600\pi\) | |||||||
\(272\) | 12.4184 | 0.752978 | ||||||||
\(273\) | 4.43454 | + | 15.9165i | 0.268391 | + | 0.963310i | ||||
\(274\) | −22.6360 | −1.36749 | ||||||||
\(275\) | 0.231976i | 0.0139887i | ||||||||
\(276\) | 19.6226 | + | 25.3603i | 1.18114 | + | 1.52651i | ||||
\(277\) | −2.96712 | −0.178277 | −0.0891385 | − | 0.996019i | \(-0.528411\pi\) | ||||
−0.0891385 | + | 0.996019i | \(0.528411\pi\) | |||||||
\(278\) | 5.40192 | + | 9.35640i | 0.323986 | + | 0.561160i | ||||
\(279\) | 5.66661 | − | 5.75872i | 0.339251 | − | 0.344766i | ||||
\(280\) | −3.33888 | + | 24.1165i | −0.199536 | + | 1.44124i | ||||
\(281\) | − | 25.9693i | − | 1.54920i | −0.632454 | − | 0.774598i | \(-0.717952\pi\) | ||
0.632454 | − | 0.774598i | \(-0.282048\pi\) | |||||||
\(282\) | 0.519815 | − | 1.26939i | 0.0309545 | − | 0.0755912i | ||||
\(283\) | −9.43593 | + | 5.44784i | −0.560908 | + | 0.323840i | −0.753510 | − | 0.657437i | \(-0.771641\pi\) |
0.192602 | + | 0.981277i | \(0.438307\pi\) | |||||||
\(284\) | −52.1831 | + | 30.1279i | −3.09650 | + | 1.78776i | ||||
\(285\) | 7.46447 | + | 9.64712i | 0.442157 | + | 0.571446i | ||||
\(286\) | 9.29921 | + | 9.06840i | 0.549874 | + | 0.536226i | ||||
\(287\) | −9.93353 | − | 24.4417i | −0.586358 | − | 1.44275i | ||||
\(288\) | 6.66586 | + | 1.72864i | 0.392790 | + | 0.101861i | ||||
\(289\) | 7.08062 | 0.416507 | ||||||||
\(290\) | −4.72688 | −0.277572 | ||||||||
\(291\) | −8.76832 | + | 21.4123i | −0.514008 | + | 1.25521i | ||||
\(292\) | 10.7476 | + | 6.20511i | 0.628953 | + | 0.363126i | ||||
\(293\) | −5.70408 | − | 9.87975i | −0.333236 | − | 0.577181i | 0.649909 | − | 0.760012i | \(-0.274807\pi\) |
−0.983144 | + | 0.182831i | \(0.941474\pi\) | |||||||
\(294\) | −17.9037 | + | 22.8879i | −1.04417 | + | 1.33485i | ||||
\(295\) | 15.2414 | + | 26.3989i | 0.887390 | + | 1.53700i | ||||
\(296\) | 41.9969i | 2.44102i | ||||||||
\(297\) | 6.25336 | + | 4.67933i | 0.362857 | + | 0.271522i | ||||
\(298\) | 22.5780 | − | 39.1062i | 1.30791 | − | 2.26536i | ||||
\(299\) | −4.83007 | − | 17.1606i | −0.279330 | − | 0.992424i | ||||
\(300\) | 0.134638 | + | 0.991771i | 0.00777335 | + | 0.0572599i | ||||
\(301\) | 4.30178 | + | 0.595571i | 0.247951 | + | 0.0343282i | ||||
\(302\) | 17.1054 | + | 9.87583i | 0.984307 | + | 0.568290i | ||||
\(303\) | 28.0722 | + | 11.4955i | 1.61271 | + | 0.660401i | ||||
\(304\) | −7.01142 | − | 4.04805i | −0.402133 | − | 0.232171i | ||||
\(305\) | − | 6.22499i | − | 0.356442i | ||||||
\(306\) | −34.1536 | − | 8.85696i | −1.95243 | − | 0.506318i | ||||
\(307\) | − | 1.16158i | − | 0.0662951i | −0.999450 | − | 0.0331476i | \(-0.989447\pi\) | ||
0.999450 | − | 0.0331476i | \(-0.0105531\pi\) | |||||||
\(308\) | −2.04200 | + | 14.7493i | −0.116354 | + | 0.840419i | ||||
\(309\) | 2.09515 | − | 5.11637i | 0.119189 | − | 0.291060i | ||||
\(310\) | −14.2082 | −0.806970 | ||||||||
\(311\) | −3.49022 | + | 6.04524i | −0.197912 | + | 0.342794i | −0.947851 | − | 0.318713i | \(-0.896749\pi\) |
0.749939 | + | 0.661507i | \(0.230083\pi\) | |||||||
\(312\) | 20.9724 | + | 15.5466i | 1.18733 | + | 0.880152i | ||||
\(313\) | 17.1288 | − | 9.88930i | 0.968175 | − | 0.558976i | 0.0694956 | − | 0.997582i | \(-0.477861\pi\) |
0.898679 | + | 0.438606i | \(0.144528\pi\) | |||||||
\(314\) | 16.7088 | − | 28.9405i | 0.942933 | − | 1.63321i | ||||
\(315\) | 6.66389 | − | 16.1515i | 0.375468 | − | 0.910032i | ||||
\(316\) | 11.3265 | + | 19.6181i | 0.637166 | + | 1.10360i | ||||
\(317\) | −6.37868 | + | 3.68273i | −0.358262 | + | 0.206843i | −0.668318 | − | 0.743875i | \(-0.732986\pi\) |
0.310056 | + | 0.950718i | \(0.399652\pi\) | |||||||
\(318\) | −3.45693 | − | 25.4644i | −0.193855 | − | 1.42797i | ||||
\(319\) | −1.34669 | −0.0754003 | ||||||||
\(320\) | −11.6259 | − | 20.1367i | −0.649909 | − | 1.12568i | ||||
\(321\) | 2.18225 | + | 2.82035i | 0.121801 | + | 0.157416i | ||||
\(322\) | 19.2521 | − | 24.7462i | 1.07288 | − | 1.37905i | ||||
\(323\) | −13.5959 | − | 7.84958i | −0.756494 | − | 0.436762i | ||||
\(324\) | 29.4510 | + | 16.3762i | 1.63617 | + | 0.909789i | ||||
\(325\) | 0.137256 | − | 0.539259i | 0.00761358 | − | 0.0299127i | ||||
\(326\) | 23.3150 | + | 13.4609i | 1.29130 | + | 0.745533i | ||||
\(327\) | −1.18439 | − | 8.72440i | −0.0654967 | − | 0.482461i | ||||
\(328\) | −36.1012 | − | 20.8430i | −1.99335 | − | 1.15086i | ||||
\(329\) | −0.865985 | − | 0.119894i | −0.0477433 | − | 0.00660995i | ||||
\(330\) | −1.84769 | − | 13.6104i | −0.101712 | − | 0.749230i | ||||
\(331\) | −1.15274 | + | 1.99660i | −0.0633601 | + | 0.109743i | −0.895965 | − | 0.444124i | \(-0.853515\pi\) |
0.832605 | + | 0.553867i | \(0.186848\pi\) | |||||||
\(332\) | 10.2707 | 0.563678 | ||||||||
\(333\) | 7.56556 | − | 29.1738i | 0.414590 | − | 1.59872i | ||||
\(334\) | −11.6500 | − | 6.72611i | −0.637458 | − | 0.368036i | ||||
\(335\) | 7.63249 | − | 13.2199i | 0.417007 | − | 0.722278i | ||||
\(336\) | −0.0306444 | + | 11.5969i | −0.00167179 | + | 0.632662i | ||||
\(337\) | −9.99425 | −0.544421 | −0.272211 | − | 0.962238i | \(-0.587755\pi\) | ||||
−0.272211 | + | 0.962238i | \(0.587755\pi\) | |||||||
\(338\) | −16.2517 | − | 26.5829i | −0.883975 | − | 1.44592i | ||||
\(339\) | 2.82115 | − | 6.88928i | 0.153224 | − | 0.374174i | ||||
\(340\) | 20.2227 | + | 35.0268i | 1.09673 | + | 1.89960i | ||||
\(341\) | −4.04792 | −0.219207 | ||||||||
\(342\) | 16.3960 | + | 16.1337i | 0.886592 | + | 0.872411i | ||||
\(343\) | 16.9652 | + | 7.42851i | 0.916034 | + | 0.401102i | ||||
\(344\) | 5.94244 | − | 3.43087i | 0.320395 | − | 0.184980i | ||||
\(345\) | −7.14403 | + | 17.4458i | −0.384621 | + | 0.939249i | ||||
\(346\) | 49.6210 | + | 28.6487i | 2.66764 | + | 1.54016i | ||||
\(347\) | 30.3026i | 1.62673i | 0.581754 | + | 0.813365i | \(0.302367\pi\) | ||||
−0.581754 | + | 0.813365i | \(0.697633\pi\) | |||||||
\(348\) | −5.75755 | + | 0.781619i | −0.308637 | + | 0.0418992i | ||||
\(349\) | 18.7898 | + | 10.8483i | 1.00580 | + | 0.580696i | 0.909958 | − | 0.414701i | \(-0.136114\pi\) |
0.0958377 | + | 0.995397i | \(0.469447\pi\) | |||||||
\(350\) | 0.906620 | − | 0.368465i | 0.0484609 | − | 0.0196953i | ||||
\(351\) | −11.7681 | − | 14.5778i | −0.628137 | − | 0.778103i | ||||
\(352\) | −1.72514 | − | 2.98803i | −0.0919502 | − | 0.159262i | ||||
\(353\) | 7.88107 | + | 13.6504i | 0.419467 | + | 0.726538i | 0.995886 | − | 0.0906163i | \(-0.0288837\pi\) |
−0.576419 | + | 0.817154i | \(0.695550\pi\) | |||||||
\(354\) | 35.1782 | + | 45.4644i | 1.86970 | + | 2.41641i | ||||
\(355\) | −30.6794 | − | 17.7128i | −1.62830 | − | 0.940097i | ||||
\(356\) | −47.2881 | −2.50626 | ||||||||
\(357\) | −0.0594226 | + | 22.4875i | −0.00314498 | + | 1.19017i | ||||
\(358\) | −23.4482 | − | 40.6136i | −1.23928 | − | 2.14649i | ||||
\(359\) | −5.88803 | + | 3.39946i | −0.310759 | + | 0.179417i | −0.647266 | − | 0.762264i | \(-0.724088\pi\) |
0.336507 | + | 0.941681i | \(0.390754\pi\) | |||||||
\(360\) | −7.35981 | − | 26.6073i | −0.387896 | − | 1.40233i | ||||
\(361\) | −4.38253 | − | 7.59077i | −0.230660 | − | 0.399514i | ||||
\(362\) | 3.66275 | 0.192510 | ||||||||
\(363\) | 2.03657 | + | 15.0018i | 0.106892 | + | 0.787388i | ||||
\(364\) | 13.4738 | − | 33.0786i | 0.706220 | − | 1.73379i | ||||
\(365\) | 7.29620i | 0.381900i | ||||||||
\(366\) | −1.57917 | − | 11.6325i | −0.0825447 | − | 0.608039i | ||||
\(367\) | −14.0718 | + | 8.12438i | −0.734544 | + | 0.424089i | −0.820082 | − | 0.572246i | \(-0.806072\pi\) |
0.0855383 | + | 0.996335i | \(0.472739\pi\) | |||||||
\(368\) | − | 12.5127i | − | 0.652267i | ||||||
\(369\) | 21.3235 | + | 20.9824i | 1.11006 | + | 1.09230i | ||||
\(370\) | −45.9016 | + | 26.5013i | −2.38631 | + | 1.37774i | ||||
\(371\) | −15.1732 | + | 6.16664i | −0.787753 | + | 0.320156i | ||||
\(372\) | −17.3062 | + | 2.34941i | −0.897284 | + | 0.121811i | ||||
\(373\) | 6.67655 | − | 11.5641i | 0.345699 | − | 0.598767i | −0.639782 | − | 0.768557i | \(-0.720975\pi\) |
0.985480 | + | 0.169789i | \(0.0543086\pi\) | |||||||
\(374\) | 8.83902 | + | 15.3096i | 0.457055 | + | 0.791642i | ||||
\(375\) | −15.5427 | + | 12.0262i | −0.802624 | + | 0.621031i | ||||
\(376\) | −1.19626 | + | 0.690663i | −0.0616926 | + | 0.0356182i | ||||
\(377\) | 3.13057 | + | 0.796814i | 0.161233 | + | 0.0410380i | ||||
\(378\) | 8.35529 | − | 31.8723i | 0.429750 | − | 1.63933i | ||||
\(379\) | −11.9437 | + | 20.6870i | −0.613504 | + | 1.06262i | 0.377141 | + | 0.926156i | \(0.376907\pi\) |
−0.990645 | + | 0.136464i | \(0.956426\pi\) | |||||||
\(380\) | − | 26.3681i | − | 1.35266i | ||||||
\(381\) | 4.12074 | + | 30.3541i | 0.211112 | + | 1.55509i | ||||
\(382\) | −7.39870 | + | 12.8149i | −0.378551 | + | 0.655669i | ||||
\(383\) | −0.798871 | + | 1.38369i | −0.0408204 | + | 0.0707030i | −0.885714 | − | 0.464232i | \(-0.846330\pi\) |
0.844893 | + | 0.534935i | \(0.179664\pi\) | |||||||
\(384\) | −21.9673 | − | 28.3907i | −1.12101 | − | 1.44880i | ||||
\(385\) | −8.10991 | + | 3.29600i | −0.413319 | + | 0.167980i | ||||
\(386\) | −21.7047 | + | 12.5312i | −1.10474 | + | 0.637823i | ||||
\(387\) | −4.74607 | + | 1.31280i | −0.241256 | + | 0.0667336i | ||||
\(388\) | 43.3169 | − | 25.0090i | 2.19908 | − | 1.26964i | ||||
\(389\) | −19.3984 | − | 11.1997i | −0.983539 | − | 0.567846i | −0.0802022 | − | 0.996779i | \(-0.525557\pi\) |
−0.903337 | + | 0.428932i | \(0.858890\pi\) | |||||||
\(390\) | −3.75784 | + | 32.7326i | −0.190285 | + | 1.65748i | ||||
\(391\) | − | 24.2633i | − | 1.22705i | ||||||
\(392\) | 28.3639 | − | 7.19576i | 1.43259 | − | 0.363441i | ||||
\(393\) | 19.9461 | + | 8.16789i | 1.00615 | + | 0.412016i | ||||
\(394\) | −5.54266 | + | 9.60017i | −0.279235 | + | 0.483650i | ||||
\(395\) | −6.65907 | + | 11.5338i | −0.335054 | + | 0.580331i | ||||
\(396\) | −4.50114 | − | 16.2726i | −0.226191 | − | 0.817728i | ||||
\(397\) | 17.6893 | + | 10.2130i | 0.887803 | + | 0.512573i | 0.873223 | − | 0.487320i | \(-0.162026\pi\) |
0.0145798 | + | 0.999894i | \(0.495359\pi\) | |||||||
\(398\) | −21.0089 | −1.05308 | ||||||||
\(399\) | 7.36383 | − | 12.6771i | 0.368653 | − | 0.634646i | ||||
\(400\) | 0.195281 | − | 0.338236i | 0.00976404 | − | 0.0169118i | ||||
\(401\) | − | 32.5300i | − | 1.62447i | −0.583330 | − | 0.812235i | \(-0.698251\pi\) | ||
0.583330 | − | 0.812235i | \(-0.301749\pi\) | |||||||
\(402\) | 10.9090 | − | 26.6398i | 0.544090 | − | 1.32867i | ||||
\(403\) | 9.40996 | + | 2.39508i | 0.468743 | + | 0.119308i | ||||
\(404\) | −32.7876 | − | 56.7897i | −1.63124 | − | 2.82539i | ||||
\(405\) | 0.319423 | + | 19.8090i | 0.0158723 | + | 0.984318i | ||||
\(406\) | 2.13906 | + | 5.26322i | 0.106160 | + | 0.261209i | ||||
\(407\) | −13.0774 | + | 7.55024i | −0.648223 | + | 0.374252i | ||||
\(408\) | 21.7433 | + | 28.1012i | 1.07645 | + | 1.39122i | ||||
\(409\) | − | 26.4267i | − | 1.30672i | −0.757049 | − | 0.653358i | \(-0.773360\pi\) | ||
0.757049 | − | 0.653358i | \(-0.226640\pi\) | |||||||
\(410\) | − | 52.6102i | − | 2.59823i | ||||||
\(411\) | −10.0107 | − | 12.9379i | −0.493792 | − | 0.638180i | ||||
\(412\) | −10.3504 | + | 5.97578i | −0.509926 | + | 0.294406i | ||||
\(413\) | 22.4971 | − | 28.9171i | 1.10701 | − | 1.42292i | ||||
\(414\) | −8.92416 | + | 34.4128i | −0.438598 | + | 1.69130i | ||||
\(415\) | 3.01917 | + | 5.22936i | 0.148205 | + | 0.256699i | ||||
\(416\) | 2.24236 | + | 7.96682i | 0.109941 | + | 0.390605i | ||||
\(417\) | −2.95878 | + | 7.22537i | −0.144892 | + | 0.353828i | ||||
\(418\) | − | 11.5251i | − | 0.563709i | ||||||
\(419\) | 7.22669 | − | 12.5170i | 0.353047 | − | 0.611495i | −0.633735 | − | 0.773550i | \(-0.718479\pi\) |
0.986782 | + | 0.162055i | \(0.0518122\pi\) | |||||||
\(420\) | −32.7595 | + | 18.7985i | −1.59850 | + | 0.917271i | ||||
\(421\) | −29.6577 | −1.44543 | −0.722713 | − | 0.691148i | \(-0.757105\pi\) | ||||
−0.722713 | + | 0.691148i | \(0.757105\pi\) | |||||||
\(422\) | −2.05197 | − | 1.18471i | −0.0998884 | − | 0.0576706i | ||||
\(423\) | 0.955423 | − | 0.264278i | 0.0464543 | − | 0.0128497i | ||||
\(424\) | −12.9392 | + | 22.4113i | −0.628381 | + | 1.08839i | ||||
\(425\) | 0.378670 | − | 0.655875i | 0.0183682 | − | 0.0318146i | ||||
\(426\) | −61.8233 | − | 25.3166i | −2.99535 | − | 1.22659i | ||||
\(427\) | −6.93132 | + | 2.81700i | −0.335430 | + | 0.136324i | ||||
\(428\) | − | 7.70874i | − | 0.372616i | ||||||
\(429\) | −1.07061 | + | 9.32555i | −0.0516896 | + | 0.450242i | ||||
\(430\) | 7.49971 | + | 4.32996i | 0.361668 | + | 0.208809i | ||||
\(431\) | 10.4396 | − | 6.02731i | 0.502858 | − | 0.290325i | −0.227035 | − | 0.973887i | \(-0.572903\pi\) |
0.729893 | + | 0.683561i | \(0.239570\pi\) | |||||||
\(432\) | −5.17870 | − | 12.0870i | −0.249160 | − | 0.581535i | ||||
\(433\) | −23.4870 | + | 13.5603i | −1.12872 | + | 0.651664i | −0.943612 | − | 0.331055i | \(-0.892595\pi\) |
−0.185104 | + | 0.982719i | \(0.559262\pi\) | |||||||
\(434\) | 6.42964 | + | 15.8203i | 0.308632 | + | 0.759399i | ||||
\(435\) | −2.09045 | − | 2.70171i | −0.100229 | − | 0.129537i | ||||
\(436\) | −9.51634 | + | 16.4828i | −0.455750 | + | 0.789382i | ||||
\(437\) | −7.90914 | + | 13.6990i | −0.378345 | + | 0.655313i | ||||
\(438\) | 1.85092 | + | 13.6342i | 0.0884403 | + | 0.651467i | ||||
\(439\) | 4.20603i | 0.200743i | 0.994950 | + | 0.100371i | \(0.0320031\pi\) | ||||
−0.994950 | + | 0.100371i | \(0.967997\pi\) | |||||||
\(440\) | −6.91583 | + | 11.9786i | −0.329699 | + | 0.571056i | ||||
\(441\) | −20.9997 | − | 0.110983i | −0.999986 | − | 0.00528490i | ||||
\(442\) | −11.4891 | − | 40.8193i | −0.546481 | − | 1.94157i | ||||
\(443\) | −10.9258 | + | 6.30802i | −0.519101 | + | 0.299703i | −0.736567 | − | 0.676365i | \(-0.763554\pi\) |
0.217466 | + | 0.976068i | \(0.430221\pi\) | |||||||
\(444\) | −51.5280 | + | 39.8699i | −2.44541 | + | 1.89214i | ||||
\(445\) | −13.9008 | − | 24.0769i | −0.658960 | − | 1.14135i | ||||
\(446\) | −25.4639 | + | 44.1048i | −1.20575 | + | 2.08842i | ||||
\(447\) | 32.3366 | − | 4.38988i | 1.52947 | − | 0.207634i | ||||
\(448\) | −17.1604 | + | 22.0575i | −0.810753 | + | 1.04212i | ||||
\(449\) | −5.18515 | + | 2.99365i | −0.244702 | + | 0.141279i | −0.617336 | − | 0.786699i | \(-0.711788\pi\) |
0.372634 | + | 0.927979i | \(0.378455\pi\) | |||||||
\(450\) | −0.778302 | + | 0.790954i | −0.0366895 | + | 0.0372859i | ||||
\(451\) | − | 14.9887i | − | 0.705790i | ||||||
\(452\) | −13.9369 | + | 8.04649i | −0.655538 | + | 0.378475i | ||||
\(453\) | 1.92018 | + | 14.1444i | 0.0902177 | + | 0.664560i | ||||
\(454\) | 9.55287i | 0.448338i | ||||||||
\(455\) | 20.8028 | − | 2.86353i | 0.975250 | − | 0.134244i | ||||
\(456\) | −3.11607 | − | 22.9536i | −0.145923 | − | 1.07490i | ||||
\(457\) | 37.7688 | 1.76675 | 0.883374 | − | 0.468669i | \(-0.155266\pi\) | ||||
0.883374 | + | 0.468669i | \(0.155266\pi\) | |||||||
\(458\) | −1.81555 | − | 3.14463i | −0.0848353 | − | 0.146939i | ||||
\(459\) | −10.0420 | − | 23.4379i | −0.468722 | − | 1.09399i | ||||
\(460\) | 35.2926 | − | 20.3762i | 1.64553 | − | 0.950045i | ||||
\(461\) | −7.86795 | − | 13.6277i | −0.366447 | − | 0.634705i | 0.622560 | − | 0.782572i | \(-0.286093\pi\) |
−0.989007 | + | 0.147867i | \(0.952759\pi\) | |||||||
\(462\) | −14.3186 | + | 8.21649i | −0.666162 | + | 0.382266i | ||||
\(463\) | −23.9163 | −1.11148 | −0.555742 | − | 0.831355i | \(-0.687566\pi\) | ||||
−0.555742 | + | 0.831355i | \(0.687566\pi\) | |||||||
\(464\) | 1.96357 | + | 1.13367i | 0.0911565 | + | 0.0526292i | ||||
\(465\) | −6.28352 | − | 8.12086i | −0.291391 | − | 0.376596i | ||||
\(466\) | 8.11995 | + | 14.0642i | 0.376149 | + | 0.651510i | ||||
\(467\) | −11.4121 | − | 19.7663i | −0.528087 | − | 0.914674i | −0.999464 | − | 0.0327419i | \(-0.989576\pi\) |
0.471377 | − | 0.881932i | \(-0.343757\pi\) | |||||||
\(468\) | 0.835329 | + | 40.4911i | 0.0386131 | + | 1.87170i | ||||
\(469\) | −18.1738 | − | 2.51612i | −0.839188 | − | 0.116184i | ||||
\(470\) | −1.50975 | − | 0.871657i | −0.0696398 | − | 0.0402066i | ||||
\(471\) | 23.9307 | − | 3.24873i | 1.10267 | − | 0.149693i | ||||
\(472\) | − | 57.8883i | − | 2.66452i | ||||||
\(473\) | 2.13667 | + | 1.23361i | 0.0982443 | + | 0.0567214i | ||||
\(474\) | −9.51768 | + | 23.2423i | −0.437162 | + | 1.06755i | ||||
\(475\) | −0.427592 | + | 0.246871i | −0.0196193 | + | 0.0113272i | ||||
\(476\) | 29.8497 | − | 38.3680i | 1.36816 | − | 1.75860i | ||||
\(477\) | 13.0257 | − | 13.2374i | 0.596405 | − | 0.606100i | ||||
\(478\) | −37.0134 | −1.69295 | ||||||||
\(479\) | 1.19588 | + | 2.07132i | 0.0546411 | + | 0.0946412i | 0.892052 | − | 0.451932i | \(-0.149265\pi\) |
−0.837411 | + | 0.546574i | \(0.815932\pi\) | |||||||
\(480\) | 3.31661 | − | 8.09920i | 0.151382 | − | 0.369676i | ||||
\(481\) | 34.8676 | − | 9.81393i | 1.58983 | − | 0.447476i | ||||
\(482\) | 16.8706 | 0.768435 | ||||||||
\(483\) | 22.6582 | + | 0.0598734i | 1.03098 | + | 0.00272434i | ||||
\(484\) | 16.3635 | − | 28.3424i | 0.743796 | − | 1.28829i | ||||
\(485\) | 25.4668 | + | 14.7033i | 1.15639 | + | 0.667641i | ||||
\(486\) | 5.62210 | + | 36.9355i | 0.255024 | + | 1.67543i | ||||
\(487\) | 40.0884 | 1.81658 | 0.908290 | − | 0.418340i | \(-0.137388\pi\) | ||||
0.908290 | + | 0.418340i | \(0.137388\pi\) | |||||||
\(488\) | −5.91077 | + | 10.2378i | −0.267568 | + | 0.463442i | ||||
\(489\) | 2.61724 | + | 19.2791i | 0.118356 | + | 0.871829i | ||||
\(490\) | 25.7632 | + | 26.4603i | 1.16386 | + | 1.19535i | ||||
\(491\) | −3.37799 | − | 1.95028i | −0.152447 | − | 0.0880151i | 0.421836 | − | 0.906672i | \(-0.361386\pi\) |
−0.574283 | + | 0.818657i | \(0.694719\pi\) | |||||||
\(492\) | −8.69942 | − | 64.0816i | −0.392200 | − | 2.88902i | ||||
\(493\) | 3.80756 | + | 2.19830i | 0.171484 | + | 0.0990064i | ||||
\(494\) | −6.81917 | + | 26.7916i | −0.306809 | + | 1.20541i | ||||
\(495\) | 6.96208 | − | 7.07525i | 0.312922 | − | 0.318009i | ||||
\(496\) | 5.90215 | + | 3.40761i | 0.265014 | + | 0.153006i | ||||
\(497\) | −5.83918 | + | 42.1761i | −0.261923 | + | 1.89186i | ||||
\(498\) | 6.96844 | + | 9.00604i | 0.312263 | + | 0.403570i | ||||
\(499\) | 16.3007 | + | 28.2336i | 0.729718 | + | 1.26391i | 0.957002 | + | 0.290081i | \(0.0936822\pi\) |
−0.227284 | + | 0.973829i | \(0.572984\pi\) | |||||||
\(500\) | 42.4824 | 1.89987 | ||||||||
\(501\) | −1.30777 | − | 9.63328i | −0.0584269 | − | 0.430383i | ||||
\(502\) | 7.02736 | − | 4.05725i | 0.313646 | − | 0.181084i | ||||
\(503\) | 6.79105 | + | 11.7625i | 0.302798 | + | 0.524462i | 0.976769 | − | 0.214296i | \(-0.0687459\pi\) |
−0.673971 | + | 0.738758i | \(0.735413\pi\) | |||||||
\(504\) | −26.2958 | + | 20.2355i | −1.17131 | + | 0.901362i | ||||
\(505\) | 19.2764 | − | 33.3877i | 0.857789 | − | 1.48573i | ||||
\(506\) | 15.4258 | − | 8.90609i | 0.685760 | − | 0.395924i | ||||
\(507\) | 8.00654 | − | 21.0451i | 0.355583 | − | 0.934645i | ||||
\(508\) | 33.1094 | − | 57.3472i | 1.46899 | − | 2.54437i | ||||
\(509\) | 15.4269 | 0.683787 | 0.341894 | − | 0.939739i | \(-0.388932\pi\) | ||||
0.341894 | + | 0.939739i | \(0.388932\pi\) | |||||||
\(510\) | −16.9932 | + | 41.4976i | −0.752472 | + | 1.83754i | ||||
\(511\) | 8.12406 | − | 3.30175i | 0.359387 | − | 0.146061i | ||||
\(512\) | 26.9670i | 1.19179i | ||||||||
\(513\) | −1.97035 | + | 16.5064i | −0.0869932 | + | 0.728775i | ||||
\(514\) | 49.4195i | 2.17980i | ||||||||
\(515\) | −6.08517 | − | 3.51327i | −0.268145 | − | 0.154813i | ||||
\(516\) | 9.85096 | + | 4.03396i | 0.433664 | + | 0.177585i | ||||
\(517\) | −0.430130 | − | 0.248336i | −0.0189171 | − | 0.0109218i | ||||
\(518\) | 50.2802 | + | 39.1172i | 2.20918 | + | 1.71871i | ||||
\(519\) | 5.57022 | + | 41.0313i | 0.244506 | + | 1.80107i | ||||
\(520\) | 23.1643 | − | 23.7539i | 1.01582 | − | 1.04168i | ||||
\(521\) | −8.81691 | + | 15.2713i | −0.386276 | + | 0.669050i | −0.991945 | − | 0.126667i | \(-0.959572\pi\) |
0.605669 | + | 0.795716i | \(0.292905\pi\) | |||||||
\(522\) | −4.59174 | − | 4.51829i | −0.200975 | − | 0.197760i | ||||
\(523\) | − | 16.0990i | − | 0.703958i | −0.936008 | − | 0.351979i | \(-0.885509\pi\) | ||
0.936008 | − | 0.351979i | \(-0.114491\pi\) | |||||||
\(524\) | −23.2964 | − | 40.3506i | −1.01771 | − | 1.76273i | ||||
\(525\) | 0.611551 | + | 0.355237i | 0.0266903 | + | 0.0155038i | ||||
\(526\) | −6.65022 | − | 11.5185i | −0.289964 | − | 0.502232i | ||||
\(527\) | 11.4449 | + | 6.60770i | 0.498547 | + | 0.287836i | ||||
\(528\) | −2.49671 | + | 6.09699i | −0.108655 | + | 0.265337i | ||||
\(529\) | −1.44743 | −0.0629317 | ||||||||
\(530\) | −32.6599 | −1.41866 | ||||||||
\(531\) | −10.4283 | + | 40.2130i | −0.452550 | + | 1.74510i | ||||
\(532\) | −29.3600 | + | 11.9324i | −1.27292 | + | 0.517334i | ||||
\(533\) | −8.86854 | + | 34.8433i | −0.384139 | + | 1.50923i | ||||
\(534\) | −32.0839 | − | 41.4654i | −1.38841 | − | 1.79438i | ||||
\(535\) | 3.92493 | − | 2.26606i | 0.169689 | − | 0.0979702i | ||||
\(536\) | −25.1051 | + | 14.4944i | −1.08438 | + | 0.626064i | ||||
\(537\) | 12.8433 | − | 31.3633i | 0.554227 | − | 1.35343i | ||||
\(538\) | 21.9723i | 0.947294i | ||||||||
\(539\) | 7.33996 | + | 7.53856i | 0.316155 | + | 0.324709i | ||||
\(540\) | 25.6587 | − | 34.2898i | 1.10417 | − | 1.47560i | ||||
\(541\) | −11.6387 | − | 20.1589i | −0.500388 | − | 0.866697i | −1.00000 | 0.000447572i | \(-0.999858\pi\) | |
0.499612 | − | 0.866249i | \(-0.333476\pi\) | |||||||
\(542\) | −16.3561 | −0.702555 | ||||||||
\(543\) | 1.61984 | + | 2.09349i | 0.0695140 | + | 0.0898403i | ||||
\(544\) | 11.2642i | 0.482951i | ||||||||
\(545\) | −11.1897 | −0.479313 | ||||||||
\(546\) | 38.1472 | − | 10.6283i | 1.63255 | − | 0.454849i | ||||
\(547\) | 32.4180 | 1.38609 | 0.693046 | − | 0.720893i | \(-0.256268\pi\) | ||||
0.693046 | + | 0.720893i | \(0.256268\pi\) | |||||||
\(548\) | 35.3627i | 1.51062i | ||||||||
\(549\) | 5.95030 | − | 6.04702i | 0.253953 | − | 0.258081i | ||||
\(550\) | 0.555977 | 0.0237070 | ||||||||
\(551\) | −1.43316 | − | 2.48231i | −0.0610548 | − | 0.105750i | ||||
\(552\) | 28.3144 | − | 21.9083i | 1.20514 | − | 0.932479i | ||||
\(553\) | 15.8560 | + | 2.19522i | 0.674264 | + | 0.0933503i | ||||
\(554\) | 7.11132i | 0.302131i | ||||||||
\(555\) | −35.4470 | − | 14.5155i | −1.50464 | − | 0.616149i | ||||
\(556\) | 14.6168 | − | 8.43904i | 0.619892 | − | 0.357895i | ||||
\(557\) | 7.16449 | − | 4.13642i | 0.303569 | − | 0.175266i | −0.340476 | − | 0.940253i | \(-0.610588\pi\) |
0.644045 | + | 0.764987i | \(0.277255\pi\) | |||||||
\(558\) | −13.8020 | − | 13.5812i | −0.584284 | − | 0.574938i | ||||
\(559\) | −4.23709 | − | 4.13193i | −0.179210 | − | 0.174762i | ||||
\(560\) | 14.5994 | + | 2.02126i | 0.616939 | + | 0.0854137i | ||||
\(561\) | −4.84138 | + | 11.8227i | −0.204403 | + | 0.499154i | ||||
\(562\) | −62.2407 | −2.62547 | ||||||||
\(563\) | 41.4857 | 1.74841 | 0.874206 | − | 0.485555i | \(-0.161383\pi\) | ||||
0.874206 | + | 0.485555i | \(0.161383\pi\) | |||||||
\(564\) | −1.98308 | − | 0.812070i | −0.0835028 | − | 0.0341943i | ||||
\(565\) | −8.19378 | − | 4.73068i | −0.344715 | − | 0.199021i | ||||
\(566\) | 13.0569 | + | 22.6152i | 0.548821 | + | 0.950586i | ||||
\(567\) | 21.9121 | − | 9.31986i | 0.920222 | − | 0.391397i | ||||
\(568\) | 33.6374 | + | 58.2616i | 1.41139 | + | 2.44460i | ||||
\(569\) | − | 15.4494i | − | 0.647673i | −0.946113 | − | 0.323837i | \(-0.895027\pi\) | ||
0.946113 | − | 0.323837i | \(-0.104973\pi\) | |||||||
\(570\) | 23.1213 | − | 17.8902i | 0.968446 | − | 0.749336i | ||||
\(571\) | −16.0896 | + | 27.8680i | −0.673329 | + | 1.16624i | 0.303625 | + | 0.952792i | \(0.401803\pi\) |
−0.976954 | + | 0.213449i | \(0.931530\pi\) | |||||||
\(572\) | 14.1669 | − | 14.5275i | 0.592349 | − | 0.607425i | ||||
\(573\) | −10.5966 | + | 1.43854i | −0.442679 | + | 0.0600961i | ||||
\(574\) | −58.5797 | + | 23.8078i | −2.44507 | + | 0.993716i | ||||
\(575\) | −0.660852 | − | 0.381543i | −0.0275594 | − | 0.0159114i | ||||
\(576\) | 7.95456 | − | 30.6739i | 0.331440 | − | 1.27808i | ||||
\(577\) | −19.3075 | − | 11.1472i | −0.803783 | − | 0.464064i | 0.0410092 | − | 0.999159i | \(-0.486943\pi\) |
−0.844792 | + | 0.535094i | \(0.820276\pi\) | |||||||
\(578\) | − | 16.9702i | − | 0.705866i | ||||||
\(579\) | −16.7612 | − | 6.86371i | −0.696573 | − | 0.285246i | ||||
\(580\) | 7.38447i | 0.306623i | ||||||||
\(581\) | 4.45644 | − | 5.72819i | 0.184884 | − | 0.237645i | ||||
\(582\) | 51.3191 | + | 21.0151i | 2.12724 | + | 0.871104i | ||||
\(583\) | −9.30484 | −0.385367 | ||||||||
\(584\) | 6.92790 | − | 11.9995i | 0.286679 | − | 0.496542i | ||||
\(585\) | −20.3706 | + | 12.3281i | −0.842221 | + | 0.509703i | ||||
\(586\) | −23.6789 | + | 13.6710i | −0.978165 | + | 0.564744i | ||||
\(587\) | −19.0213 | + | 32.9459i | −0.785094 | + | 1.35982i | 0.143849 | + | 0.989600i | \(0.454052\pi\) |
−0.928943 | + | 0.370223i | \(0.879281\pi\) | |||||||
\(588\) | 35.7561 | + | 27.9697i | 1.47456 | + | 1.15345i | ||||
\(589\) | −4.30784 | − | 7.46139i | −0.177501 | − | 0.307441i | ||||
\(590\) | 63.2704 | − | 36.5292i | 2.60480 | − | 1.50388i | ||||
\(591\) | −7.93832 | + | 1.07767i | −0.326539 | + | 0.0443294i | ||||
\(592\) | 25.4237 | 1.04491 | ||||||||
\(593\) | 0.484442 | + | 0.839079i | 0.0198937 | + | 0.0344568i | 0.875801 | − | 0.482673i | \(-0.160334\pi\) |
−0.855907 | + | 0.517129i | \(0.827001\pi\) | |||||||
\(594\) | 11.2150 | − | 14.9875i | 0.460156 | − | 0.614944i | ||||
\(595\) | 28.3098 | + | 3.91942i | 1.16059 | + | 0.160681i | ||||
\(596\) | −61.0928 | − | 35.2719i | −2.50246 | − | 1.44479i | ||||
\(597\) | −9.29112 | − | 12.0079i | −0.380260 | − | 0.491450i | ||||
\(598\) | −41.1290 | + | 11.5763i | −1.68189 | + | 0.473389i | ||||
\(599\) | 32.1172 | + | 18.5429i | 1.31228 | + | 0.757642i | 0.982472 | − | 0.186408i | \(-0.0596845\pi\) |
0.329803 | + | 0.944050i | \(0.393018\pi\) | |||||||
\(600\) | 1.10730 | − | 0.150322i | 0.0452052 | − | 0.00613686i | ||||
\(601\) | −9.42183 | − | 5.43970i | −0.384324 | − | 0.221890i | 0.295374 | − | 0.955382i | \(-0.404556\pi\) |
−0.679698 | + | 0.733492i | \(0.737889\pi\) | |||||||
\(602\) | 1.42741 | − | 10.3101i | 0.0581769 | − | 0.420209i | ||||
\(603\) | 20.0508 | − | 5.54622i | 0.816530 | − | 0.225859i | ||||
\(604\) | 15.4283 | − | 26.7226i | 0.627768 | − | 1.08733i | ||||
\(605\) | 19.2408 | 0.782251 | ||||||||
\(606\) | 27.5514 | − | 67.2808i | 1.11920 | − | 2.73310i | ||||
\(607\) | 14.0368 | + | 8.10415i | 0.569736 | + | 0.328937i | 0.757044 | − | 0.653364i | \(-0.226643\pi\) |
−0.187308 | + | 0.982301i | \(0.559976\pi\) | |||||||
\(608\) | 3.67182 | − | 6.35977i | 0.148912 | − | 0.257923i | ||||
\(609\) | −2.06226 | + | 3.55025i | −0.0835671 | + | 0.143863i | ||||
\(610\) | −14.9195 | −0.604072 | ||||||||
\(611\) | 0.852962 | + | 0.831792i | 0.0345072 | + | 0.0336507i | ||||
\(612\) | −13.8366 | + | 53.3558i | −0.559311 | + | 2.15678i | ||||
\(613\) | 16.3691 | + | 28.3521i | 0.661142 | + | 1.14513i | 0.980316 | + | 0.197435i | \(0.0632611\pi\) |
−0.319174 | + | 0.947696i | \(0.603406\pi\) | |||||||
\(614\) | −2.78398 | −0.112352 | ||||||||
\(615\) | 30.0700 | − | 23.2667i | 1.21254 | − | 0.938204i | ||||
\(616\) | 16.4674 | + | 2.27987i | 0.663489 | + | 0.0918584i | ||||
\(617\) | −33.8949 | + | 19.5692i | −1.36456 | + | 0.787828i | −0.990227 | − | 0.139467i | \(-0.955461\pi\) |
−0.374331 | + | 0.927295i | \(0.622128\pi\) | |||||||
\(618\) | −12.2624 | − | 5.02146i | −0.493268 | − | 0.201993i | ||||
\(619\) | −4.41436 | − | 2.54863i | −0.177428 | − | 0.102438i | 0.408656 | − | 0.912689i | \(-0.365998\pi\) |
−0.586084 | + | 0.810250i | \(0.699331\pi\) | |||||||
\(620\) | 22.1964i | 0.891430i | ||||||||
\(621\) | −23.6157 | + | 10.1182i | −0.947666 | + | 0.406031i | ||||
\(622\) | 14.4887 | + | 8.36504i | 0.580943 | + | 0.335407i | ||||
\(623\) | −20.5182 | + | 26.3736i | −0.822045 | + | 1.05663i | ||||
\(624\) | 9.41143 | − | 12.6960i | 0.376759 | − | 0.508248i | ||||
\(625\) | 12.1023 | + | 20.9617i | 0.484090 | + | 0.838469i | ||||
\(626\) | −23.7017 | − | 41.0526i | −0.947312 | − | 1.64079i | ||||
\(627\) | 6.58728 | − | 5.09692i | 0.263071 | − | 0.203551i | ||||
\(628\) | −45.2117 | − | 26.1030i | −1.80414 | − | 1.04162i | ||||
\(629\) | 49.2991 | 1.96569 | ||||||||
\(630\) | −38.7103 | − | 15.9714i | −1.54226 | − | 0.636316i | ||||
\(631\) | 24.5250 | + | 42.4785i | 0.976324 | + | 1.69104i | 0.675496 | + | 0.737364i | \(0.263930\pi\) |
0.300828 | + | 0.953678i | \(0.402737\pi\) | |||||||
\(632\) | 21.9033 | − | 12.6459i | 0.871266 | − | 0.503026i | ||||
\(633\) | −0.230345 | − | 1.69676i | −0.00915538 | − | 0.0674402i | ||||
\(634\) | 8.82643 | + | 15.2878i | 0.350542 | + | 0.607157i | ||||
\(635\) | 38.9313 | 1.54494 | ||||||||
\(636\) | −39.7812 | + | 5.40052i | −1.57743 | + | 0.214145i | ||||
\(637\) | −12.6023 | − | 21.8674i | −0.499323 | − | 0.866416i | ||||
\(638\) | 3.22763i | 0.127783i | ||||||||
\(639\) | −12.8712 | − | 46.5320i | −0.509175 | − | 1.84078i | ||||
\(640\) | −39.5098 | + | 22.8110i | −1.56176 | + | 0.901683i | ||||
\(641\) | 25.8865i | 1.02246i | 0.859445 | + | 0.511228i | \(0.170809\pi\) | ||||
−0.859445 | + | 0.511228i | \(0.829191\pi\) | |||||||
\(642\) | 6.75954 | − | 5.23020i | 0.266778 | − | 0.206420i | ||||
\(643\) | 19.3103 | − | 11.1488i | 0.761526 | − | 0.439667i | −0.0683177 | − | 0.997664i | \(-0.521763\pi\) |
0.829843 | + | 0.557997i | \(0.188430\pi\) | |||||||
\(644\) | −38.6592 | − | 30.0762i | −1.52338 | − | 1.18517i | ||||
\(645\) | 0.841882 | + | 6.20146i | 0.0331491 | + | 0.244182i | ||||
\(646\) | −18.8131 | + | 32.5853i | −0.740193 | + | 1.28205i | ||||
\(647\) | −9.84729 | − | 17.0560i | −0.387137 | − | 0.670541i | 0.604926 | − | 0.796282i | \(-0.293203\pi\) |
−0.992063 | + | 0.125741i | \(0.959869\pi\) | |||||||
\(648\) | 18.2838 | − | 32.8816i | 0.718255 | − | 1.29171i | ||||
\(649\) | 18.0258 | − | 10.4072i | 0.707575 | − | 0.408518i | ||||
\(650\) | −1.29245 | − | 0.328962i | −0.0506939 | − | 0.0129029i | ||||
\(651\) | −6.19880 | + | 10.6714i | −0.242950 | + | 0.418246i | ||||
\(652\) | 21.0291 | − | 36.4234i | 0.823562 | − | 1.42645i | ||||
\(653\) | − | 9.34844i | − | 0.365833i | −0.983128 | − | 0.182916i | \(-0.941446\pi\) | ||
0.983128 | − | 0.182916i | \(-0.0585538\pi\) | |||||||
\(654\) | −20.9098 | + | 2.83862i | −0.817639 | + | 0.110999i | ||||
\(655\) | 13.6964 | − | 23.7229i | 0.535163 | − | 0.926930i | ||||
\(656\) | −12.6177 | + | 21.8546i | −0.492640 | + | 0.853277i | ||||
\(657\) | −6.97423 | + | 7.08760i | −0.272091 | + | 0.276514i | ||||
\(658\) | −0.287350 | + | 2.07551i | −0.0112021 | + | 0.0809119i | ||||
\(659\) | 12.6857 | − | 7.32409i | 0.494165 | − | 0.285306i | −0.232136 | − | 0.972683i | \(-0.574571\pi\) |
0.726301 | + | 0.687377i | \(0.241238\pi\) | |||||||
\(660\) | −21.2626 | + | 2.88652i | −0.827646 | + | 0.112358i | ||||
\(661\) | −1.74192 | + | 1.00570i | −0.0677529 | + | 0.0391172i | −0.533494 | − | 0.845804i | \(-0.679121\pi\) |
0.465741 | + | 0.884921i | \(0.345788\pi\) | |||||||
\(662\) | 4.78526 | + | 2.76277i | 0.185984 | + | 0.107378i | ||||
\(663\) | 18.2497 | − | 24.6189i | 0.708761 | − | 0.956120i | ||||
\(664\) | − | 11.4671i | − | 0.445009i | ||||||
\(665\) | −14.7060 | − | 11.4411i | −0.570276 | − | 0.443666i | ||||
\(666\) | −69.9211 | − | 18.1324i | −2.70939 | − | 0.702618i | ||||
\(667\) | 2.21498 | − | 3.83646i | 0.0857643 | − | 0.148548i | ||||
\(668\) | −10.5077 | + | 18.1999i | −0.406556 | + | 0.704176i | ||||
\(669\) | −36.4699 | + | 4.95099i | −1.41001 | + | 0.191417i | ||||
\(670\) | −31.6841 | − | 18.2928i | −1.22406 | − | 0.706714i | ||||
\(671\) | −4.25057 | −0.164092 | ||||||||
\(672\) | −10.5190 | − | 0.0277962i | −0.405781 | − | 0.00107226i | ||||
\(673\) | −3.60802 | + | 6.24928i | −0.139079 | + | 0.240892i | −0.927148 | − | 0.374695i | \(-0.877748\pi\) |
0.788069 | + | 0.615587i | \(0.211081\pi\) | |||||||
\(674\) | 23.9533i | 0.922646i | ||||||||
\(675\) | −0.796281 | − | 0.0950513i | −0.0306489 | − | 0.00365853i | ||||
\(676\) | −41.5286 | + | 25.3889i | −1.59726 | + | 0.976494i | ||||
\(677\) | −12.2214 | − | 21.1681i | −0.469706 | − | 0.813554i | 0.529694 | − | 0.848189i | \(-0.322307\pi\) |
−0.999400 | + | 0.0346344i | \(0.988973\pi\) | |||||||
\(678\) | −16.5116 | − | 6.76147i | −0.634124 | − | 0.259673i | ||||
\(679\) | 4.84706 | − | 35.0101i | 0.186013 | − | 1.34356i | ||||
\(680\) | 39.1069 | − | 22.5784i | 1.49968 | − | 0.865841i | ||||
\(681\) | −5.46006 | + | 4.22473i | −0.209230 | + | 0.161892i | ||||
\(682\) | 9.70168i | 0.371496i | ||||||||
\(683\) | − | 6.35051i | − | 0.242995i | −0.992592 | − | 0.121498i | \(-0.961230\pi\) | ||
0.992592 | − | 0.121498i | \(-0.0387697\pi\) | |||||||
\(684\) | 25.2045 | − | 25.6142i | 0.963720 | − | 0.979385i | ||||
\(685\) | −18.0050 | + | 10.3952i | −0.687935 | + | 0.397180i | ||||
\(686\) | 17.8040 | − | 40.6606i | 0.679758 | − | 1.55243i | ||||
\(687\) | 0.994429 | − | 2.42841i | 0.0379398 | − | 0.0926495i | ||||
\(688\) | −2.07694 | − | 3.59737i | −0.0791828 | − | 0.137149i | ||||
\(689\) | 21.6304 | + | 5.50551i | 0.824053 | + | 0.209743i | ||||
\(690\) | 41.8124 | + | 17.1221i | 1.59177 | + | 0.651829i | ||||
\(691\) | − | 5.74331i | − | 0.218486i | −0.994015 | − | 0.109243i | \(-0.965157\pi\) | ||
0.994015 | − | 0.109243i | \(-0.0348427\pi\) | |||||||
\(692\) | 44.7558 | − | 77.5193i | 1.70136 | − | 2.94684i | ||||
\(693\) | −11.0286 | − | 4.55027i | −0.418942 | − | 0.172850i | ||||
\(694\) | 72.6265 | 2.75686 | ||||||||
\(695\) | 8.59352 | + | 4.96147i | 0.325971 | + | 0.188199i | ||||
\(696\) | 0.872665 | + | 6.42821i | 0.0330783 | + | 0.243661i | ||||
\(697\) | −24.4671 | + | 42.3782i | −0.926757 | + | 1.60519i | ||||
\(698\) | 26.0002 | − | 45.0337i | 0.984122 | − | 1.70455i | ||||
\(699\) | −4.44752 | + | 10.8609i | −0.168221 | + | 0.410797i | ||||
\(700\) | −0.575627 | − | 1.41635i | −0.0217567 | − | 0.0535329i | ||||
\(701\) | − | 14.7876i | − | 0.558520i | −0.960216 | − | 0.279260i | \(-0.909911\pi\) | ||
0.960216 | − | 0.279260i | \(-0.0900891\pi\) | |||||||
\(702\) | −34.9386 | + | 28.2048i | −1.31867 | + | 1.06452i | ||||
\(703\) | −27.8342 | − | 16.0701i | −1.04979 | − | 0.606095i | ||||
\(704\) | −13.7498 | + | 7.93846i | −0.518215 | + | 0.299192i | ||||
\(705\) | −0.169478 | − | 1.24841i | −0.00638291 | − | 0.0470177i | ||||
\(706\) | 32.7160 | − | 18.8886i | 1.23128 | − | 0.710882i | ||||
\(707\) | −45.8993 | − | 6.35464i | −1.72622 | − | 0.238991i | ||||
\(708\) | 71.0258 | − | 54.9563i | 2.66931 | − | 2.06539i | ||||
\(709\) | 24.3473 | − | 42.1707i | 0.914381 | − | 1.58375i | 0.106576 | − | 0.994305i | \(-0.466011\pi\) |
0.807805 | − | 0.589450i | \(-0.200655\pi\) | |||||||
\(710\) | −42.4523 | + | 73.5296i | −1.59321 | + | 2.75952i | ||||
\(711\) | −17.4936 | + | 4.83887i | −0.656060 | + | 0.181472i | ||||
\(712\) | 52.7964i | 1.97863i | ||||||||
\(713\) | 6.65784 | − | 11.5317i | 0.249338 | − | 0.431866i | ||||
\(714\) | 53.8960 | + | 0.142418i | 2.01701 | + | 0.00532988i | ||||
\(715\) | 11.5612 | + | 2.94263i | 0.432365 | + | 0.110048i | ||||
\(716\) | −63.4476 | + | 36.6315i | −2.37115 | + | 1.36898i | ||||
\(717\) | −16.3691 | − | 21.1555i | −0.611314 | − | 0.790065i | ||||
\(718\) | 8.14751 | + | 14.1119i | 0.304062 | + | 0.526651i | ||||
\(719\) | −14.8764 | + | 25.7667i | −0.554796 | + | 0.960935i | 0.443123 | + | 0.896461i | \(0.353870\pi\) |
−0.997919 | + | 0.0644743i | \(0.979463\pi\) | |||||||
\(720\) | −16.1073 | + | 4.45541i | −0.600282 | + | 0.166043i | ||||
\(721\) | −1.15818 | + | 8.36549i | −0.0431330 | + | 0.311547i | ||||
\(722\) | −18.1928 | + | 10.5036i | −0.677068 | + | 0.390905i | ||||
\(723\) | 7.46097 | + | 9.64260i | 0.277477 | + | 0.358612i | ||||
\(724\) | − | 5.72206i | − | 0.212659i | ||||||
\(725\) | 0.119749 | − | 0.0691369i | 0.00444735 | − | 0.00256768i | ||||
\(726\) | 35.9548 | − | 4.88106i | 1.33441 | − | 0.181153i | ||||
\(727\) | − | 40.6361i | − | 1.50711i | −0.657385 | − | 0.753555i | \(-0.728337\pi\) | ||
0.657385 | − | 0.753555i | \(-0.271663\pi\) | |||||||
\(728\) | −36.9317 | − | 15.0433i | −1.36878 | − | 0.557542i | ||||
\(729\) | −18.6246 | + | 19.5480i | −0.689800 | + | 0.724000i | ||||
\(730\) | 17.4868 | 0.647217 | ||||||||
\(731\) | −4.02741 | − | 6.97568i | −0.148959 | − | 0.258005i | ||||
\(732\) | −18.1726 | + | 2.46703i | −0.671678 | + | 0.0911840i | ||||
\(733\) | −24.6541 | + | 14.2340i | −0.910619 | + | 0.525746i | −0.880630 | − | 0.473804i | \(-0.842880\pi\) |
−0.0299887 | + | 0.999550i | \(0.509547\pi\) | |||||||
\(734\) | 19.4718 | + | 33.7261i | 0.718716 | + | 1.24485i | ||||
\(735\) | −3.72999 | + | 26.4273i | −0.137583 | + | 0.974784i | ||||
\(736\) | 11.3497 | 0.418356 | ||||||||
\(737\) | −9.02683 | − | 5.21164i | −0.332508 | − | 0.191973i | ||||
\(738\) | 50.2887 | − | 51.1061i | 1.85115 | − | 1.88124i | ||||
\(739\) | −15.6689 | − | 27.1393i | −0.576389 | − | 0.998335i | −0.995889 | − | 0.0905800i | \(-0.971128\pi\) |
0.419500 | − | 0.907755i | \(-0.362205\pi\) | |||||||
\(740\) | 41.4011 | + | 71.7088i | 1.52193 | + | 2.63607i | ||||
\(741\) | −18.3288 | + | 7.95092i | −0.673326 | + | 0.292084i | ||||
\(742\) | 14.7796 | + | 36.3657i | 0.542577 | + | 1.33503i | ||||
\(743\) | −11.8552 | − | 6.84459i | −0.434924 | − | 0.251104i | 0.266518 | − | 0.963830i | \(-0.414127\pi\) |
−0.701442 | + | 0.712726i | \(0.747460\pi\) | |||||||
\(744\) | 2.62308 | + | 19.3221i | 0.0961667 | + | 0.708382i | ||||
\(745\) | − | 41.4741i | − | 1.51949i | ||||||
\(746\) | −27.7158 | − | 16.0017i | −1.01475 | − | 0.585865i | ||||
\(747\) | −2.06574 | + | 7.96579i | −0.0755816 | + | 0.291453i | ||||
\(748\) | 23.9171 | − | 13.8086i | 0.874497 | − | 0.504891i | ||||
\(749\) | −4.29933 | − | 3.34481i | −0.157094 | − | 0.122217i | ||||
\(750\) | 28.8233 | + | 37.2514i | 1.05248 | + | 1.36023i | ||||
\(751\) | 38.3433 | 1.39917 | 0.699583 | − | 0.714551i | \(-0.253369\pi\) | ||||
0.699583 | + | 0.714551i | \(0.253369\pi\) | |||||||
\(752\) | 0.418107 | + | 0.724182i | 0.0152468 | + | 0.0264082i | ||||
\(753\) | 5.42680 | + | 2.22227i | 0.197764 | + | 0.0809839i | ||||
\(754\) | 1.90973 | − | 7.50307i | 0.0695482 | − | 0.273246i | ||||
\(755\) | 18.1412 | 0.660225 | ||||||||
\(756\) | −49.7918 | − | 13.0529i | −1.81091 | − | 0.474729i | ||||
\(757\) | −3.23204 | + | 5.59806i | −0.117471 | + | 0.203465i | −0.918765 | − | 0.394806i | \(-0.870812\pi\) |
0.801294 | + | 0.598271i | \(0.204145\pi\) | |||||||
\(758\) | 49.5807 | + | 28.6254i | 1.80085 | + | 1.03972i | ||||
\(759\) | 11.9124 | + | 4.87811i | 0.432392 | + | 0.177064i | ||||
\(760\) | −29.4396 | −1.06789 | ||||||||
\(761\) | 6.91097 | − | 11.9702i | 0.250523 | − | 0.433918i | −0.713147 | − | 0.701014i | \(-0.752731\pi\) |
0.963670 | + | 0.267096i | \(0.0860642\pi\) | |||||||
\(762\) | 72.7499 | − | 9.87620i | 2.63545 | − | 0.357777i | ||||
\(763\) | 5.06367 | + | 12.4593i | 0.183317 | + | 0.451057i | ||||
\(764\) | 20.0199 | + | 11.5585i | 0.724293 | + | 0.418171i | ||||
\(765\) | −31.2336 | + | 8.63949i | −1.12925 | + | 0.312362i | ||||
\(766\) | 3.31629 | + | 1.91466i | 0.119822 | + | 0.0691795i | ||||
\(767\) | −48.0612 | + | 13.5274i | −1.73539 | + | 0.488448i | ||||
\(768\) | −39.1047 | + | 30.2573i | −1.41107 | + | 1.09182i | ||||
\(769\) | 1.89305 | + | 1.09295i | 0.0682650 | + | 0.0394128i | 0.533744 | − | 0.845646i | \(-0.320785\pi\) |
−0.465479 | + | 0.885059i | \(0.654118\pi\) | |||||||
\(770\) | 7.89955 | + | 19.4371i | 0.284680 | + | 0.700463i | ||||
\(771\) | −28.2463 | + | 21.8556i | −1.01727 | + | 0.787111i | ||||
\(772\) | 19.5767 | + | 33.9078i | 0.704579 | + | 1.22037i | ||||
\(773\) | 8.34018 | 0.299975 | 0.149988 | − | 0.988688i | \(-0.452077\pi\) | ||||
0.149988 | + | 0.988688i | \(0.452077\pi\) | |||||||
\(774\) | 3.14641 | + | 11.3749i | 0.113095 | + | 0.408863i | ||||
\(775\) | 0.359943 | − | 0.207813i | 0.0129295 | − | 0.00746487i | ||||
\(776\) | −27.9222 | − | 48.3626i | −1.00235 | − | 1.73612i | ||||
\(777\) | −0.121653 | + | 46.0377i | −0.00436428 | + | 1.65159i | ||||
\(778\) | −26.8424 | + | 46.4923i | −0.962345 | + | 1.66683i | ||||
\(779\) | 27.6281 | − | 15.9511i | 0.989881 | − | 0.571508i | ||||
\(780\) | 51.1358 | + | 5.87060i | 1.83096 | + | 0.210201i | ||||
\(781\) | −12.0947 | + | 20.9486i | −0.432783 | + | 0.749602i | ||||
\(782\) | −58.1521 | −2.07951 | ||||||||
\(783\) | 0.551803 | − | 4.62267i | 0.0197198 | − | 0.165201i | ||||
\(784\) | −4.35609 | − | 17.1706i | −0.155575 | − | 0.613237i | ||||
\(785\) | − | 30.6929i | − | 1.09548i | ||||||
\(786\) | 19.5760 | − | 47.8049i | 0.698254 | − | 1.70514i | ||||
\(787\) | − | 5.94642i | − | 0.211967i | −0.994368 | − | 0.105983i | \(-0.966201\pi\) | ||
0.994368 | − | 0.105983i | \(-0.0337991\pi\) | |||||||
\(788\) | 14.9977 | + | 8.65890i | 0.534270 | + | 0.308461i | ||||
\(789\) | 3.64251 | − | 8.89505i | 0.129677 | − | 0.316672i | ||||
\(790\) | 27.6432 | + | 15.9598i | 0.983502 | + | 0.567825i | ||||
\(791\) | −1.55951 | + | 11.2643i | −0.0554498 | + | 0.400511i | ||||
\(792\) | −18.1681 | + | 5.02545i | −0.645575 | + | 0.178572i | ||||
\(793\) | 9.88105 | + | 2.51499i | 0.350886 | + | 0.0893099i | ||||
\(794\) | 24.4774 | − | 42.3962i | 0.868672 | − | 1.50458i | ||||
\(795\) | −14.4438 | − | 18.6672i | −0.512267 | − | 0.662057i | ||||
\(796\) | 32.8207i | 1.16330i | ||||||||
\(797\) | −12.4919 | − | 21.6366i | −0.442486 | − | 0.766409i | 0.555387 | − | 0.831592i | \(-0.312570\pi\) |
−0.997873 | + | 0.0651832i | \(0.979237\pi\) | |||||||
\(798\) | −30.3832 | − | 17.6489i | −1.07555 | − | 0.624766i | ||||
\(799\) | 0.810752 | + | 1.40426i | 0.0286823 | + | 0.0496793i | ||||
\(800\) | 0.306800 | + | 0.177131i | 0.0108470 | + | 0.00626254i | ||||
\(801\) | 9.51104 | − | 36.6759i | 0.336056 | − | 1.29588i | ||||
\(802\) | −77.9648 | −2.75303 | ||||||||
\(803\) | 4.98202 | 0.175812 | ||||||||
\(804\) | −41.6175 | − | 17.0423i | −1.46774 | − | 0.601036i | ||||
\(805\) | 3.94916 | − | 28.5246i | 0.139190 | − | 1.00536i | ||||
\(806\) | 5.74031 | − | 22.5529i | 0.202194 | − | 0.794392i | ||||
\(807\) | −12.5586 | + | 9.71719i | −0.442082 | + | 0.342061i | ||||
\(808\) | −63.4048 | + | 36.6068i | −2.23057 | + | 1.28782i | ||||
\(809\) | 19.3679 | − | 11.1821i | 0.680939 | − | 0.393140i | −0.119270 | − | 0.992862i | \(-0.538055\pi\) |
0.800209 | + | 0.599722i | \(0.204722\pi\) | |||||||
\(810\) | 47.4764 | − | 0.765563i | 1.66815 | − | 0.0268992i | ||||
\(811\) | 27.6233i | 0.969986i | 0.874518 | + | 0.484993i | \(0.161178\pi\) | ||||
−0.874518 | + | 0.484993i | \(0.838822\pi\) | |||||||
\(812\) | 8.22235 | − | 3.34170i | 0.288548 | − | 0.117271i | ||||
\(813\) | −7.23344 | − | 9.34853i | −0.253688 | − | 0.327867i | ||||
\(814\) | 18.0957 | + | 31.3427i | 0.634255 | + | 1.09856i | ||||
\(815\) | 24.7268 | 0.866141 | ||||||||
\(816\) | 17.0116 | − | 13.1627i | 0.595525 | − | 0.460788i | ||||
\(817\) | 5.25127i | 0.183719i | ||||||||
\(818\) | −63.3370 | −2.21453 | ||||||||
\(819\) | 22.9452 | + | 17.1031i | 0.801770 | + | 0.597632i | ||||
\(820\) | −82.1892 | −2.87017 | ||||||||
\(821\) | 13.4264i | 0.468586i | 0.972166 | + | 0.234293i | \(0.0752775\pi\) | ||||
−0.972166 | + | 0.234293i | \(0.924723\pi\) | |||||||
\(822\) | −31.0084 | + | 23.9928i | −1.08154 | + | 0.836843i | ||||
\(823\) | 6.11903 | 0.213296 | 0.106648 | − | 0.994297i | \(-0.465988\pi\) | ||||
0.106648 | + | 0.994297i | \(0.465988\pi\) | |||||||
\(824\) | 6.67187 | + | 11.5560i | 0.232426 | + | 0.402573i | ||||
\(825\) | 0.245879 | + | 0.317776i | 0.00856042 | + | 0.0110635i | ||||
\(826\) | −69.3058 | − | 53.9189i | −2.41146 | − | 1.87608i | ||||
\(827\) | 32.0820i | 1.11560i | 0.829975 | + | 0.557801i | \(0.188355\pi\) | ||||
−0.829975 | + | 0.557801i | \(0.811645\pi\) | |||||||
\(828\) | 53.7606 | + | 13.9416i | 1.86831 | + | 0.484503i | ||||
\(829\) | −33.3697 | + | 19.2660i | −1.15898 | + | 0.669136i | −0.951059 | − | 0.309010i | \(-0.900002\pi\) |
−0.207919 | + | 0.978146i | \(0.566669\pi\) | |||||||
\(830\) | 12.5332 | − | 7.23606i | 0.435035 | − | 0.251167i | ||||
\(831\) | −4.06456 | + | 3.14496i | −0.140998 | + | 0.109097i | ||||
\(832\) | 36.6604 | − | 10.3185i | 1.27097 | − | 0.357731i | ||||
\(833\) | −8.44691 | − | 33.2956i | −0.292668 | − | 1.15363i | ||||
\(834\) | 17.3171 | + | 7.09134i | 0.599642 | + | 0.245553i | ||||
\(835\) | −12.3554 | −0.427575 | ||||||||
\(836\) | −18.0048 | −0.622708 | ||||||||
\(837\) | 1.65862 | − | 13.8949i | 0.0573304 | − | 0.480279i | ||||
\(838\) | −29.9996 | − | 17.3203i | −1.03632 | − | 0.598319i | ||||
\(839\) | 20.9048 | + | 36.2081i | 0.721713 | + | 1.25004i | 0.960313 | + | 0.278926i | \(0.0899784\pi\) |
−0.238599 | + | 0.971118i | \(0.576688\pi\) | |||||||
\(840\) | 20.9882 | + | 36.5755i | 0.724161 | + | 1.26197i | ||||
\(841\) | −14.0986 | − | 24.4196i | −0.486160 | − | 0.842054i | ||||
\(842\) | 71.0807i | 2.44960i | ||||||||
\(843\) | −27.5258 | − | 35.5744i | −0.948038 | − | 1.22525i | ||||
\(844\) | −1.85078 | + | 3.20565i | −0.0637065 | + | 0.110343i | ||||
\(845\) | −25.1345 | − | 13.6811i | −0.864654 | − | 0.470645i | ||||
\(846\) | −0.633398 | − | 2.28987i | −0.0217767 | − | 0.0787273i | ||||
\(847\) | −8.70707 | − | 21.4240i | −0.299178 | − | 0.736137i | ||||
\(848\) | 13.5671 | + | 7.83297i | 0.465896 | + | 0.268985i | ||||
\(849\) | −7.15161 | + | 17.4643i | −0.245443 | + | 0.599373i | ||||
\(850\) | −1.57194 | − | 0.907560i | −0.0539171 | − | 0.0311291i | ||||
\(851\) | − | 49.6732i | − | 1.70278i | ||||||
\(852\) | −39.5502 | + | 96.5820i | −1.35497 | + | 3.30885i | ||||
\(853\) | 22.5503i | 0.772109i | 0.922476 | + | 0.386054i | \(0.126162\pi\) | ||||
−0.922476 | + | 0.386054i | \(0.873838\pi\) | |||||||
\(854\) | 6.75153 | + | 16.6123i | 0.231033 | + | 0.568462i | ||||
\(855\) | 20.4507 | + | 5.30341i | 0.699398 | + | 0.181373i | ||||
\(856\) | −8.60669 | −0.294171 | ||||||||
\(857\) | 7.35349 | − | 12.7366i | 0.251191 | − | 0.435075i | −0.712663 | − | 0.701506i | \(-0.752511\pi\) |
0.963854 | + | 0.266431i | \(0.0858446\pi\) | |||||||
\(858\) | 22.3506 | + | 2.56594i | 0.763037 | + | 0.0875998i | ||||
\(859\) | −13.1023 | + | 7.56462i | −0.447045 | + | 0.258101i | −0.706581 | − | 0.707632i | \(-0.749764\pi\) |
0.259537 | + | 0.965733i | \(0.416430\pi\) | |||||||
\(860\) | 6.76439 | − | 11.7163i | 0.230664 | − | 0.399521i | ||||
\(861\) | −39.5143 | − | 22.9530i | −1.34664 | − | 0.782237i | ||||
\(862\) | −14.4457 | − | 25.0207i | −0.492023 | − | 0.852208i | ||||
\(863\) | −29.5253 | + | 17.0464i | −1.00505 | + | 0.580267i | −0.909739 | − | 0.415180i | \(-0.863718\pi\) |
−0.0953128 | + | 0.995447i | \(0.530385\pi\) | |||||||
\(864\) | 10.9636 | − | 4.69739i | 0.372989 | − | 0.159808i | ||||
\(865\) | 52.6256 | 1.78932 | ||||||||
\(866\) | 32.4999 | + | 56.2916i | 1.10439 | + | 1.91287i | ||||
\(867\) | 9.69950 | − | 7.50500i | 0.329412 | − | 0.254883i | ||||
\(868\) | 24.7149 | − | 10.0446i | 0.838880 | − | 0.340935i | ||||
\(869\) | 7.87558 | + | 4.54697i | 0.267161 | + | 0.154245i | ||||
\(870\) | −6.47520 | + | 5.01019i | −0.219530 | + | 0.169861i | ||||
\(871\) | 17.9005 | + | 17.4562i | 0.606535 | + | 0.591481i | ||||
\(872\) | 18.4028 | + | 10.6248i | 0.623197 | + | 0.359803i | ||||
\(873\) | 10.6843 | + | 38.6259i | 0.361608 | + | 1.30729i | ||||
\(874\) | 32.8326 | + | 18.9559i | 1.11058 | + | 0.641192i | ||||
\(875\) | 18.4330 | − | 23.6933i | 0.623150 | − | 0.800980i | ||||
\(876\) | 21.2997 | − | 2.89156i | 0.719651 | − | 0.0976966i | ||||
\(877\) | −19.5195 | + | 33.8088i | −0.659128 | + | 1.14164i | 0.321714 | + | 0.946837i | \(0.395741\pi\) |
−0.980842 | + | 0.194806i | \(0.937592\pi\) | |||||||
\(878\) | 10.0806 | 0.340205 | ||||||||
\(879\) | −18.2857 | − | 7.48799i | −0.616763 | − | 0.252564i | ||||
\(880\) | 7.25147 | + | 4.18664i | 0.244447 | + | 0.141131i | ||||
\(881\) | −12.3427 | + | 21.3781i | −0.415835 | + | 0.720248i | −0.995516 | − | 0.0945959i | \(-0.969844\pi\) |
0.579680 | + | 0.814844i | \(0.303177\pi\) | |||||||
\(882\) | −0.265993 | + | 50.3301i | −0.00895646 | + | 1.69470i | ||||
\(883\) | 17.3258 | 0.583059 | 0.291529 | − | 0.956562i | \(-0.405836\pi\) | ||||
0.291529 | + | 0.956562i | \(0.405836\pi\) | |||||||
\(884\) | −63.7690 | + | 17.9486i | −2.14478 | + | 0.603677i | ||||
\(885\) | 48.8599 | + | 20.0081i | 1.64241 | + | 0.672564i | ||||
\(886\) | 15.1185 | + | 26.1860i | 0.507915 | + | 0.879735i | ||||
\(887\) | 20.6414 | 0.693070 | 0.346535 | − | 0.938037i | \(-0.387358\pi\) | ||||
0.346535 | + | 0.938037i | \(0.387358\pi\) | |||||||
\(888\) | 44.5141 | + | 57.5302i | 1.49379 | + | 1.93059i | ||||
\(889\) | −17.6176 | − | 43.3487i | −0.590876 | − | 1.45387i | ||||
\(890\) | −57.7052 | + | 33.3161i | −1.93428 | + | 1.11676i | ||||
\(891\) | 13.5261 | − | 0.218110i | 0.453140 | − | 0.00730695i | ||||
\(892\) | 68.9017 | + | 39.7804i | 2.30700 | + | 1.33195i | ||||
\(893\) | − | 1.05713i | − | 0.0353754i | ||||||
\(894\) | −10.5212 | − | 77.5015i | −0.351883 | − | 2.59204i | ||||
\(895\) | −37.3021 | − | 21.5364i | −1.24687 | − | 0.719881i | ||||
\(896\) | 43.2786 | + | 33.6701i | 1.44584 | + | 1.12484i | ||||
\(897\) | −24.8057 | − | 18.3882i | −0.828239 | − | 0.613964i | ||||
\(898\) | 7.17490 | + | 12.4273i | 0.239429 | + | 0.414704i | ||||
\(899\) | 1.20642 | + | 2.08959i | 0.0402364 | + | 0.0696916i | ||||
\(900\) | 1.23565 | + | 1.21589i | 0.0411884 | + | 0.0405295i | ||||
\(901\) | 26.3080 | + | 15.1889i | 0.876447 | + | 0.506017i | ||||
\(902\) | −35.9235 | −1.19612 | ||||||||
\(903\) | 6.52413 | − | 3.74376i | 0.217110 | − | 0.124585i | ||||
\(904\) | 8.98378 | + | 15.5604i | 0.298796 | + | 0.517530i | ||||
\(905\) | 2.91340 | − | 1.68205i | 0.0968447 | − | 0.0559133i | ||||
\(906\) | 33.8999 | − | 4.60210i | 1.12625 | − | 0.152894i | ||||
\(907\) | −21.6610 | − | 37.5179i | −0.719242 | − | 1.24576i | −0.961301 | − | 0.275501i | \(-0.911156\pi\) |
0.242059 | − | 0.970262i | \(-0.422177\pi\) | |||||||
\(908\) | 14.9238 | 0.495263 | ||||||||
\(909\) | 50.6397 | − | 14.0074i | 1.67961 | − | 0.464596i | ||||
\(910\) | −6.86303 | − | 49.8582i | −0.227507 | − | 1.65278i | ||||
\(911\) | 13.2577i | 0.439246i | 0.975585 | + | 0.219623i | \(0.0704827\pi\) | ||||
−0.975585 | + | 0.219623i | \(0.929517\pi\) | |||||||
\(912\) | −13.8954 | + | 1.88638i | −0.460122 | + | 0.0624641i | ||||
\(913\) | 3.57073 | − | 2.06156i | 0.118174 | − | 0.0682277i | ||||
\(914\) | − | 90.5206i | − | 2.99416i | ||||||
\(915\) | −6.59810 | − | 8.52741i | −0.218126 | − | 0.281908i | ||||
\(916\) | −4.91263 | + | 2.83631i | −0.162318 | + | 0.0937143i | ||||
\(917\) | −32.6127 | − | 4.51515i | −1.07697 | − | 0.149103i | ||||
\(918\) | −56.1737 | + | 24.0678i | −1.85401 | + | 0.794356i | ||||
\(919\) | 5.47411 | − | 9.48144i | 0.180574 | − | 0.312764i | −0.761502 | − | 0.648163i | \(-0.775538\pi\) |
0.942076 | + | 0.335399i | \(0.108871\pi\) | |||||||
\(920\) | −22.7497 | − | 39.4036i | −0.750035 | − | 1.29910i | ||||
\(921\) | −1.23121 | − | 1.59122i | −0.0405696 | − | 0.0524324i | ||||
\(922\) | −32.6616 | + | 18.8572i | −1.07565 | + | 0.621028i | ||||
\(923\) | 40.5108 | − | 41.5418i | 1.33343 | − | 1.36737i | ||||
\(924\) | 12.8360 | + | 22.3690i | 0.422274 | + | 0.735885i | ||||
\(925\) | 0.775233 | − | 1.34274i | 0.0254895 | − | 0.0441491i | ||||
\(926\) | 57.3203i | 1.88366i | ||||||||
\(927\) | −2.55295 | − | 9.22948i | −0.0838500 | − | 0.303136i | ||||
\(928\) | −1.02830 | + | 1.78107i | −0.0337557 | + | 0.0584666i | ||||
\(929\) | 8.02130 | − | 13.8933i | 0.263170 | − | 0.455824i | −0.703912 | − | 0.710287i | \(-0.748565\pi\) |
0.967083 | + | 0.254463i | \(0.0818986\pi\) | |||||||
\(930\) | −19.4633 | + | 15.0598i | −0.638227 | + | 0.493829i | ||||
\(931\) | −6.08430 | + | 21.5521i | −0.199405 | + | 0.706342i | ||||
\(932\) | 21.9714 | − | 12.6852i | 0.719698 | − | 0.415518i | ||||
\(933\) | 1.62643 | + | 11.9806i | 0.0532469 | + | 0.392227i | ||||
\(934\) | −47.3740 | + | 27.3514i | −1.55012 | + | 0.894964i | ||||
\(935\) | 14.0613 | + | 8.11832i | 0.459855 | + | 0.265497i | ||||
\(936\) | 45.2077 | − | 0.932632i | 1.47766 | − | 0.0304840i | ||||
\(937\) | 22.6768i | 0.740820i | 0.928868 | + | 0.370410i | \(0.120783\pi\) | ||||
−0.928868 | + | 0.370410i | \(0.879217\pi\) | |||||||
\(938\) | −6.03040 | + | 43.5572i | −0.196899 | + | 1.42219i | ||||
\(939\) | 12.9821 | − | 31.7024i | 0.423655 | − | 1.03457i | ||||
\(940\) | −1.36173 | + | 2.35858i | −0.0444147 | + | 0.0769285i | ||||
\(941\) | −8.19499 | + | 14.1941i | −0.267149 | + | 0.462716i | −0.968124 | − | 0.250470i | \(-0.919415\pi\) |
0.700975 | + | 0.713185i | \(0.252748\pi\) | |||||||
\(942\) | −7.78625 | − | 57.3549i | −0.253690 | − | 1.86872i | ||||
\(943\) | 42.6998 | + | 24.6527i | 1.39050 | + | 0.802803i | ||||
\(944\) | −35.0438 | −1.14058 | ||||||||
\(945\) | −7.99087 | − | 29.1886i | −0.259943 | − | 0.949507i | ||||
\(946\) | 2.95660 | − | 5.12098i | 0.0961273 | − | 0.166497i | ||||
\(947\) | − | 16.4860i | − | 0.535723i | −0.963457 | − | 0.267861i | \(-0.913683\pi\) | ||
0.963457 | − | 0.267861i | \(-0.0863169\pi\) | |||||||
\(948\) | 36.3097 | + | 14.8688i | 1.17929 | + | 0.482916i | ||||
\(949\) | −11.5814 | − | 2.94777i | −0.375948 | − | 0.0956886i | ||||
\(950\) | 0.591676 | + | 1.02481i | 0.0191965 | + | 0.0332493i | ||||
\(951\) | −4.83448 | + | 11.8058i | −0.156769 | + | 0.382831i | ||||
\(952\) | −42.8373 | − | 33.3268i | −1.38837 | − | 1.08013i | ||||
\(953\) | −2.87033 | + | 1.65718i | −0.0929790 | + | 0.0536815i | −0.545769 | − | 0.837936i | \(-0.683762\pi\) |
0.452790 | + | 0.891617i | \(0.350429\pi\) | |||||||
\(954\) | −31.7262 | − | 31.2187i | −1.02717 | − | 1.01074i | ||||
\(955\) | 13.5909i | 0.439791i | ||||||||
\(956\) | 57.8234i | 1.87014i | ||||||||
\(957\) | −1.84479 | + | 1.42741i | −0.0596336 | + | 0.0461415i | ||||
\(958\) | 4.96436 | − | 2.86617i | 0.160391 | − | 0.0926018i | ||||
\(959\) | 19.7225 | + | 15.3438i | 0.636873 | + | 0.495477i | ||||
\(960\) | −37.2696 | − | 15.2618i | −1.20287 | − | 0.492574i | ||||
\(961\) | −11.8737 | − | 20.5659i | −0.383023 | − | 0.663415i | ||||
\(962\) | −23.5211 | − | 83.5674i | −0.758351 | − | 2.69432i | ||||
\(963\) | 5.97877 | + | 1.55046i | 0.192663 | + | 0.0499628i | ||||
\(964\) | − | 26.3557i | − | 0.848861i | ||||||
\(965\) | −11.5095 | + | 19.9350i | −0.370503 | + | 0.641731i | ||||
\(966\) | 0.143499 | − | 54.3050i | 0.00461701 | − | 1.74723i | ||||
\(967\) | 18.2322 | 0.586308 | 0.293154 | − | 0.956065i | \(-0.405295\pi\) | ||||
0.293154 | + | 0.956065i | \(0.405295\pi\) | |||||||
\(968\) | −31.6439 | − | 18.2696i | −1.01707 | − | 0.587207i | ||||
\(969\) | −26.9446 | + | 3.65788i | −0.865585 | + | 0.117508i | ||||
\(970\) | 35.2394 | − | 61.0365i | 1.13147 | − | 1.95976i | ||||
\(971\) | 6.65694 | − | 11.5302i | 0.213631 | − | 0.370020i | −0.739217 | − | 0.673467i | \(-0.764804\pi\) |
0.952848 | + | 0.303447i | \(0.0981375\pi\) | |||||||
\(972\) | 57.7017 | − | 8.78300i | 1.85078 | − | 0.281715i | ||||
\(973\) | 1.63559 | − | 11.8138i | 0.0524347 | − | 0.378733i | ||||
\(974\) | − | 96.0803i | − | 3.07861i | ||||||
\(975\) | −0.383558 | − | 0.884196i | −0.0122837 | − | 0.0283169i | ||||
\(976\) | 6.19763 | + | 3.57820i | 0.198381 | + | 0.114536i | ||||
\(977\) | −27.7242 | + | 16.0066i | −0.886977 | + | 0.512096i | −0.872952 | − | 0.487805i | \(-0.837798\pi\) |
−0.0140243 | + | 0.999902i | \(0.504464\pi\) | |||||||
\(978\) | 46.2062 | − | 6.27275i | 1.47751 | − | 0.200580i | ||||
\(979\) | −16.4402 | + | 9.49178i | −0.525433 | + | 0.303359i | ||||
\(980\) | 41.3370 | − | 40.2481i | 1.32046 | − | 1.28568i | ||||
\(981\) | −10.8698 | − | 10.6959i | −0.347045 | − | 0.341494i | ||||
\(982\) | −4.67426 | + | 8.09605i | −0.149162 | + | 0.258355i | ||||
\(983\) | −6.83560 | + | 11.8396i | −0.218022 | + | 0.377625i | −0.954203 | − | 0.299159i | \(-0.903294\pi\) |
0.736181 | + | 0.676784i | \(0.236627\pi\) | |||||||
\(984\) | −71.5461 | + | 9.71277i | −2.28081 | + | 0.309632i | ||||
\(985\) | 10.1815i | 0.324408i | ||||||||
\(986\) | 5.26868 | − | 9.12562i | 0.167789 | − | 0.290619i | ||||
\(987\) | −1.31336 | + | 0.753650i | −0.0418048 | + | 0.0239890i | ||||
\(988\) | 41.8546 | + | 10.6531i | 1.33157 | + | 0.338920i | ||||
\(989\) | −7.02861 | + | 4.05797i | −0.223497 | + | 0.129036i | ||||
\(990\) | −16.9573 | − | 16.6861i | −0.538938 | − | 0.530318i | ||||
\(991\) | 7.32083 | + | 12.6801i | 0.232554 | + | 0.402795i | 0.958559 | − | 0.284894i | \(-0.0919585\pi\) |
−0.726005 | + | 0.687689i | \(0.758625\pi\) | |||||||
\(992\) | −3.09090 | + | 5.35360i | −0.0981362 | + | 0.169977i | ||||
\(993\) | 0.537171 | + | 3.95690i | 0.0170466 | + | 0.125568i | ||||
\(994\) | 101.084 | + | 13.9948i | 3.20618 | + | 0.443888i | ||||
\(995\) | −16.7107 | + | 9.64795i | −0.529766 | + | 0.305861i | ||||
\(996\) | 14.0695 | − | 10.8863i | 0.445809 | − | 0.344945i | ||||
\(997\) | 46.0995i | 1.45999i | 0.683454 | + | 0.729994i | \(0.260477\pi\) | ||||
−0.683454 | + | 0.729994i | \(0.739523\pi\) | |||||||
\(998\) | 67.6677 | − | 39.0679i | 2.14198 | − | 1.23667i | ||||
\(999\) | −20.5586 | − | 47.9833i | −0.650445 | − | 1.51812i |
(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 | 273.2.r.b.269.3 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.r.b.269.30 | yes | 64 | |
7.5 | odd | 6 | 273.2.bf.b.152.3 | yes | 64 | ||
13.3 | even | 3 | 273.2.bf.b.185.30 | yes | 64 | ||
21.5 | even | 6 | 273.2.bf.b.152.30 | yes | 64 | ||
39.29 | odd | 6 | 273.2.bf.b.185.3 | yes | 64 | ||
91.68 | odd | 6 | inner | 273.2.r.b.68.3 | ✓ | 64 | |
273.68 | even | 6 | inner | 273.2.r.b.68.30 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.r.b.68.3 | ✓ | 64 | 91.68 | odd | 6 | inner | |
273.2.r.b.68.30 | yes | 64 | 273.68 | even | 6 | inner | |
273.2.r.b.269.3 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.r.b.269.30 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bf.b.152.3 | yes | 64 | 7.5 | odd | 6 | ||
273.2.bf.b.152.30 | yes | 64 | 21.5 | even | 6 | ||
273.2.bf.b.185.3 | yes | 64 | 39.29 | odd | 6 | ||
273.2.bf.b.185.30 | yes | 64 | 13.3 | even | 3 |