Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(17,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bo (of order \(12\), degree \(4\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 17.3 | ||
Character | \(\chi\) | \(=\) | 280.17 |
Dual form | 280.2.bo.a.33.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −2.00047 | + | 0.536025i | −1.15497 | + | 0.309474i | −0.784956 | − | 0.619551i | \(-0.787315\pi\) |
−0.370017 | + | 0.929025i | \(0.620648\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.38383 | + | 1.75642i | 0.618866 | + | 0.785497i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.24986 | − | 2.33192i | 0.472401 | − | 0.881384i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.11649 | − | 0.644605i | 0.372163 | − | 0.214868i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.09606 | + | 5.36253i | −0.933496 | + | 1.61686i | −0.156202 | + | 0.987725i | \(0.549925\pi\) |
−0.777294 | + | 0.629138i | \(0.783408\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.782930 | + | 0.782930i | 0.217146 | + | 0.217146i | 0.807294 | − | 0.590149i | \(-0.200931\pi\) |
−0.590149 | + | 0.807294i | \(0.700931\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.70979 | − | 2.77191i | −0.957864 | − | 0.715705i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.18027 | + | 4.40483i | 0.286258 | + | 1.06833i | 0.947915 | + | 0.318522i | \(0.103187\pi\) |
−0.661658 | + | 0.749806i | \(0.730147\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.37523 | + | 4.11401i | 0.544914 | + | 0.943819i | 0.998612 | + | 0.0526638i | \(0.0167712\pi\) |
−0.453698 | + | 0.891156i | \(0.649895\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.25033 | + | 5.33490i | −0.272845 | + | 1.16417i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −6.52089 | − | 1.74727i | −1.35970 | − | 0.364330i | −0.495993 | − | 0.868326i | \(-0.665196\pi\) |
−0.863706 | + | 0.503996i | \(0.831863\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.17005 | + | 4.86117i | −0.234010 | + | 0.972234i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.50536 | − | 2.50536i | 0.482157 | − | 0.482157i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.30715i | 0.985514i | 0.870167 | + | 0.492757i | \(0.164011\pi\) | ||||
−0.870167 | + | 0.492757i | \(0.835989\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.16657 | + | 1.25087i | 0.389128 | + | 0.224663i | 0.681782 | − | 0.731555i | \(-0.261205\pi\) |
−0.292654 | + | 0.956218i | \(0.594539\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.31913 | − | 12.3871i | 0.577786 | − | 2.15633i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.82543 | − | 1.03170i | 0.984677 | − | 0.174389i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.77376 | − | 6.61976i | 0.291604 | − | 1.08828i | −0.652273 | − | 0.757984i | \(-0.726184\pi\) |
0.943877 | − | 0.330298i | \(-0.107149\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.98590 | − | 1.14656i | −0.317998 | − | 0.183596i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 2.51428i | − | 0.392665i | −0.980537 | − | 0.196333i | \(-0.937097\pi\) | ||
0.980537 | − | 0.196333i | \(-0.0629032\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.404551 | − | 0.404551i | 0.0616934 | − | 0.0616934i | −0.675587 | − | 0.737280i | \(-0.736110\pi\) |
0.737280 | + | 0.675587i | \(0.236110\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.67723 | + | 1.06901i | 0.399097 | + | 0.159358i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 8.63838 | + | 2.31465i | 1.26004 | + | 0.337626i | 0.826206 | − | 0.563368i | \(-0.190495\pi\) |
0.433832 | + | 0.900994i | \(0.357161\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.87572 | − | 5.82913i | −0.553675 | − | 0.832733i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.72220 | − | 8.17909i | −0.661240 | − | 1.14530i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.66008 | − | 9.92755i | −0.365390 | − | 1.36365i | −0.866892 | − | 0.498497i | \(-0.833886\pi\) |
0.501502 | − | 0.865157i | \(-0.332781\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −13.7033 | + | 1.98282i | −1.84775 | + | 0.267363i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −6.95679 | − | 6.95679i | −0.921449 | − | 0.921449i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.0710796 | − | 0.123113i | 0.00925377 | − | 0.0160280i | −0.861361 | − | 0.507993i | \(-0.830388\pi\) |
0.870615 | + | 0.491965i | \(0.163721\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.67752 | − | 1.54587i | 0.342822 | − | 0.197928i | −0.318697 | − | 0.947856i | \(-0.603245\pi\) |
0.661519 | + | 0.749928i | \(0.269912\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.107719 | − | 3.40923i | −0.0135714 | − | 0.429523i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.291718 | + | 2.45860i | −0.0361832 | + | 0.304951i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.34482 | + | 1.16419i | −0.530804 | + | 0.142228i | −0.514259 | − | 0.857635i | \(-0.671933\pi\) |
−0.0165444 | + | 0.999863i | \(0.505266\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 13.9814 | 1.68317 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 10.3517 | 1.22852 | 0.614258 | − | 0.789105i | \(-0.289455\pi\) | ||||
0.614258 | + | 0.789105i | \(0.289455\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.80614 | + | 0.483952i | −0.211392 | + | 0.0566424i | −0.362961 | − | 0.931804i | \(-0.618234\pi\) |
0.151569 | + | 0.988447i | \(0.451567\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.265056 | − | 10.3518i | −0.0306060 | − | 1.19532i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 8.63537 | + | 13.9221i | 0.984092 | + | 1.58658i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.42390 | − | 3.13149i | 0.610236 | − | 0.352320i | −0.162822 | − | 0.986655i | \(-0.552060\pi\) |
0.773058 | + | 0.634336i | \(0.218726\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −5.60278 | + | 9.70431i | −0.622532 | + | 1.07826i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 5.82768 | + | 5.82768i | 0.639671 | + | 0.639671i | 0.950474 | − | 0.310803i | \(-0.100598\pi\) |
−0.310803 | + | 0.950474i | \(0.600598\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.10346 | + | 8.16858i | −0.662013 | + | 0.886007i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.84477 | − | 10.6168i | −0.304991 | − | 1.13824i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −4.58578 | − | 7.94281i | −0.486092 | − | 0.841936i | 0.513780 | − | 0.857922i | \(-0.328245\pi\) |
−0.999872 | + | 0.0159859i | \(0.994911\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.80428 | − | 0.847183i | 0.293969 | − | 0.0888089i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −5.00466 | − | 1.34100i | −0.518960 | − | 0.139055i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.93905 | + | 9.86498i | −0.404138 | + | 1.01213i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.64580 | − | 2.64580i | 0.268641 | − | 0.268641i | −0.559912 | − | 0.828552i | \(-0.689165\pi\) |
0.828552 | + | 0.559912i | \(0.189165\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 7.98294i | 0.802315i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −4.36323 | − | 2.51911i | −0.434157 | − | 0.250661i | 0.266959 | − | 0.963708i | \(-0.413981\pi\) |
−0.701116 | + | 0.713047i | \(0.747315\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.710053 | − | 2.64995i | 0.0699636 | − | 0.261108i | −0.922081 | − | 0.386998i | \(-0.873512\pi\) |
0.992044 | + | 0.125890i | \(0.0401787\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −11.1006 | + | 5.18646i | −1.08331 | + | 0.506147i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.79590 | + | 14.1665i | −0.366963 | + | 1.36953i | 0.497776 | + | 0.867306i | \(0.334150\pi\) |
−0.864740 | + | 0.502221i | \(0.832517\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 13.0388 | + | 7.52797i | 1.24889 | + | 0.721049i | 0.970889 | − | 0.239531i | \(-0.0769936\pi\) |
0.278005 | + | 0.960580i | \(0.410327\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 14.1934i | 1.34718i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.41309 | − | 1.41309i | 0.132932 | − | 0.132932i | −0.637510 | − | 0.770442i | \(-0.720035\pi\) |
0.770442 | + | 0.637510i | \(0.220035\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.95483 | − | 13.8714i | −0.555291 | − | 1.29351i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.37881 | + | 0.369452i | 0.127471 | + | 0.0341558i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 11.7469 | + | 2.75310i | 1.07684 | + | 0.252376i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −13.6711 | − | 23.6791i | −1.24283 | − | 2.15264i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.34772 | + | 5.02976i | 0.121520 | + | 0.453518i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −10.1574 | + | 4.67191i | −0.908508 | + | 0.417868i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.61249 | − | 4.61249i | −0.409292 | − | 0.409292i | 0.472200 | − | 0.881492i | \(-0.343460\pi\) |
−0.881492 | + | 0.472200i | \(0.843460\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.592443 | + | 1.02614i | −0.0521617 | + | 0.0903467i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 17.5930 | − | 10.1573i | 1.53711 | − | 0.887448i | 0.538099 | − | 0.842882i | \(-0.319143\pi\) |
0.999006 | − | 0.0445661i | \(-0.0141905\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 12.5622 | − | 0.396922i | 1.08929 | − | 0.0344175i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 7.86746 | + | 0.933492i | 0.677123 | + | 0.0803422i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.84734 | − | 1.83474i | 0.585008 | − | 0.156752i | 0.0458371 | − | 0.998949i | \(-0.485404\pi\) |
0.539171 | + | 0.842197i | \(0.318738\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.94314 | −0.673728 | −0.336864 | − | 0.941553i | \(-0.609366\pi\) | ||||
−0.336864 | + | 0.941553i | \(0.609366\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −18.5216 | −1.55980 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −6.62248 | + | 1.77449i | −0.553799 | + | 0.148390i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.32161 | + | 7.34418i | −0.774118 | + | 0.609901i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 10.8778 | + | 9.58353i | 0.897189 | + | 0.790436i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.61568 | + | 1.51016i | −0.214285 | + | 0.123717i | −0.603301 | − | 0.797514i | \(-0.706148\pi\) |
0.389016 | + | 0.921231i | \(0.372815\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.00848 | − | 3.47878i | 0.163447 | − | 0.283099i | −0.772655 | − | 0.634826i | \(-0.781072\pi\) |
0.936103 | + | 0.351726i | \(0.114405\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.15714 | + | 4.15714i | 0.336085 | + | 0.336085i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.801099 | + | 5.53641i | 0.0643459 | + | 0.444695i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.989145 | + | 3.69154i | 0.0789424 | + | 0.294617i | 0.994098 | − | 0.108483i | \(-0.0345993\pi\) |
−0.915156 | + | 0.403100i | \(0.867933\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 10.6428 | + | 18.4339i | 0.844031 | + | 1.46190i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −12.2247 | + | 13.0224i | −0.963438 | + | 1.02631i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.52498 | − | 2.28426i | −0.667728 | − | 0.178917i | −0.0909967 | − | 0.995851i | \(-0.529005\pi\) |
−0.576731 | + | 0.816934i | \(0.695672\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 26.3502 | − | 11.3119i | 2.05136 | − | 0.880628i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 5.91156 | − | 5.91156i | 0.457450 | − | 0.457450i | −0.440367 | − | 0.897818i | \(-0.645152\pi\) |
0.897818 | + | 0.440367i | \(0.145152\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 11.7740i | − | 0.905695i | ||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 5.30383 | + | 3.06217i | 0.405594 | + | 0.234170i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −5.80426 | + | 21.6618i | −0.441290 | + | 1.64692i | 0.284260 | + | 0.958747i | \(0.408252\pi\) |
−0.725550 | + | 0.688170i | \(0.758414\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 9.87348 | + | 8.80423i | 0.746365 | + | 0.665537i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.0762008 | + | 0.284385i | −0.00572760 | + | 0.0213757i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −9.81825 | − | 5.66857i | −0.733850 | − | 0.423689i | 0.0859789 | − | 0.996297i | \(-0.472598\pi\) |
−0.819829 | + | 0.572608i | \(0.805932\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.90901i | 0.662201i | 0.943595 | + | 0.331101i | \(0.107420\pi\) | ||||
−0.943595 | + | 0.331101i | \(0.892580\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.52768 | + | 4.52768i | −0.334696 | + | 0.334696i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 14.0817 | − | 6.04512i | 1.03531 | − | 0.444446i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −27.2752 | − | 7.30837i | −1.99456 | − | 0.534441i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.71097 | − | 8.97364i | −0.197194 | − | 0.652737i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.07475 | + | 13.9859i | 0.584268 | + | 1.01198i | 0.994966 | + | 0.100211i | \(0.0319517\pi\) |
−0.410698 | + | 0.911771i | \(0.634715\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.102134 | − | 0.381168i | −0.00735174 | − | 0.0274371i | 0.962153 | − | 0.272511i | \(-0.0878543\pi\) |
−0.969504 | + | 0.245074i | \(0.921188\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.734295 | − | 5.07472i | −0.0525839 | − | 0.363408i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −8.65729 | − | 8.65729i | −0.616806 | − | 0.616806i | 0.327904 | − | 0.944711i | \(-0.393658\pi\) |
−0.944711 | + | 0.327904i | \(0.893658\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.96288 | + | 8.59596i | −0.351809 | + | 0.609351i | −0.986566 | − | 0.163360i | \(-0.947767\pi\) |
0.634757 | + | 0.772711i | \(0.281100\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 8.06765 | − | 4.65786i | 0.569048 | − | 0.328540i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 12.3759 | + | 6.63318i | 0.868616 | + | 0.465558i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.41615 | − | 3.47933i | 0.308437 | − | 0.243007i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −8.40680 | + | 2.25259i | −0.584313 | + | 0.156566i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −29.4153 | −2.03470 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.25891 | 0.637410 | 0.318705 | − | 0.947854i | \(-0.396752\pi\) | ||||
0.318705 | + | 0.947854i | \(0.396752\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −20.7082 | + | 5.54875i | −1.41890 | + | 0.380194i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.27039 | + | 0.150735i | 0.0866399 | + | 0.0102800i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.62484 | − | 3.48887i | 0.381839 | − | 0.236840i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 3.35371 | − | 1.93627i | 0.226623 | − | 0.130841i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.52461 | + | 4.37274i | −0.169823 | + | 0.294143i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.26542 | + | 2.26542i | 0.151703 | + | 0.151703i | 0.778878 | − | 0.627175i | \(-0.215789\pi\) |
−0.627175 | + | 0.778878i | \(0.715789\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.82719 | + | 6.18167i | 0.121813 | + | 0.412111i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −5.72434 | − | 21.3635i | −0.379938 | − | 1.41795i | −0.845994 | − | 0.533192i | \(-0.820992\pi\) |
0.466057 | − | 0.884755i | \(-0.345674\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.16366 | − | 5.47963i | −0.209061 | − | 0.362104i | 0.742358 | − | 0.670003i | \(-0.233707\pi\) |
−0.951419 | + | 0.307899i | \(0.900374\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −24.7374 | − | 23.2221i | −1.62760 | − | 1.52790i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 10.1387 | + | 2.71667i | 0.664211 | + | 0.177975i | 0.575145 | − | 0.818051i | \(-0.304945\pi\) |
0.0890650 | + | 0.996026i | \(0.471612\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.88852 | + | 18.3757i | 0.514590 | + | 1.19870i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −9.17180 | + | 9.17180i | −0.595772 | + | 0.595772i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 2.87268i | − | 0.185818i | −0.995675 | − | 0.0929091i | \(-0.970383\pi\) | ||
0.995675 | − | 0.0929091i | \(-0.0296166\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 25.6935 | + | 14.8342i | 1.65507 | + | 0.955553i | 0.974943 | + | 0.222456i | \(0.0714074\pi\) |
0.680124 | + | 0.733097i | \(0.261926\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 3.25539 | − | 12.1493i | 0.208833 | − | 0.779376i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 4.87510 | − | 14.8739i | 0.311459 | − | 0.950260i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.36135 | + | 5.08062i | −0.0866205 | + | 0.323272i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −14.7819 | − | 8.53433i | −0.936764 | − | 0.540841i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 15.0696i | − | 0.951182i | −0.879667 | − | 0.475591i | \(-0.842234\pi\) | ||
0.879667 | − | 0.475591i | \(-0.157766\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 29.5588 | − | 29.5588i | 1.85835 | − | 1.85835i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 7.83124 | − | 19.6126i | 0.490412 | − | 1.22819i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 22.7927 | + | 6.10728i | 1.42177 | + | 0.380962i | 0.886111 | − | 0.463474i | \(-0.153397\pi\) |
0.535658 | + | 0.844435i | \(0.320064\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −13.2198 | − | 12.4100i | −0.821440 | − | 0.771121i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 3.42102 | + | 5.92538i | 0.211756 | + | 0.366772i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −5.21774 | − | 19.4729i | −0.321739 | − | 1.20075i | −0.917549 | − | 0.397622i | \(-0.869835\pi\) |
0.595810 | − | 0.803126i | \(-0.296831\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 13.7559 | − | 18.4102i | 0.845018 | − | 1.13093i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 13.4313 | + | 13.4313i | 0.821980 | + | 0.821980i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −6.41634 | + | 11.1134i | −0.391211 | + | 0.677597i | −0.992610 | − | 0.121352i | \(-0.961277\pi\) |
0.601399 | + | 0.798949i | \(0.294610\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.51548 | − | 0.874961i | 0.0920587 | − | 0.0531501i | −0.453264 | − | 0.891376i | \(-0.649740\pi\) |
0.545323 | + | 0.838226i | \(0.316407\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −5.15577 | + | 3.19793i | −0.312042 | + | 0.193547i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −22.4456 | − | 21.3249i | −1.35352 | − | 1.28594i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.44886 | − | 1.46002i | 0.327390 | − | 0.0877240i | −0.0913802 | − | 0.995816i | \(-0.529128\pi\) |
0.418770 | + | 0.908092i | \(0.362461\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.22527 | 0.193092 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 18.7713 | 1.11980 | 0.559901 | − | 0.828560i | \(-0.310839\pi\) | ||||
0.559901 | + | 0.828560i | \(0.310839\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.0479 | + | 3.22822i | −0.716172 | + | 0.191898i | −0.598463 | − | 0.801150i | \(-0.704222\pi\) |
−0.117709 | + | 0.993048i | \(0.537555\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.59208 | − | 21.8461i | 0.153542 | − | 1.29405i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −5.86312 | − | 3.14249i | −0.346089 | − | 0.185495i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.28707 | + | 1.89779i | −0.193357 | + | 0.111635i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.87464 | + | 6.71107i | −0.227135 | + | 0.393410i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 0.810657 | + | 0.810657i | 0.0473591 | + | 0.0473591i | 0.730390 | − | 0.683031i | \(-0.239338\pi\) |
−0.683031 | + | 0.730390i | \(0.739338\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.314601 | − | 0.0455217i | 0.0183168 | − | 0.00265038i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 5.67833 | + | 21.1918i | 0.329490 | + | 1.22967i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −3.73741 | − | 6.47339i | −0.216140 | − | 0.374366i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.437751 | − | 1.44901i | −0.0252315 | − | 0.0835196i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 10.0788 | + | 2.70061i | 0.579013 | + | 0.155146i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 6.42042 | + | 2.56365i | 0.367632 | + | 0.146794i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.68380 | − | 4.68380i | 0.267319 | − | 0.267319i | −0.560700 | − | 0.828019i | \(-0.689468\pi\) |
0.828019 | + | 0.560700i | \(0.189468\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.68177i | 0.323224i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.90190 | + | 3.40747i | 0.334666 | + | 0.193220i | 0.657911 | − | 0.753096i | \(-0.271440\pi\) |
−0.323245 | + | 0.946315i | \(0.604774\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.97836 | + | 26.0436i | −0.394440 | + | 1.47207i | 0.428291 | + | 0.903641i | \(0.359116\pi\) |
−0.822731 | + | 0.568430i | \(0.807551\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 5.83899 | − | 4.90698i | 0.328990 | − | 0.276477i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −4.81685 | + | 17.9767i | −0.270541 | + | 1.00967i | 0.688230 | + | 0.725493i | \(0.258388\pi\) |
−0.958771 | + | 0.284180i | \(0.908279\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −28.4598 | − | 16.4313i | −1.59344 | − | 0.919973i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 30.3744i | − | 1.69533i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −15.3181 | + | 15.3181i | −0.852323 | + | 0.852323i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.72202 | + | 2.88989i | −0.261931 | + | 0.160302i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −30.1190 | − | 8.07036i | −1.66558 | − | 0.446292i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 16.1943 | − | 17.2511i | 0.892821 | − | 0.951082i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.03546 | + | 12.1858i | 0.386704 | + | 0.669791i | 0.992004 | − | 0.126206i | \(-0.0402802\pi\) |
−0.605300 | + | 0.795997i | \(0.706947\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2.28675 | − | 8.53427i | −0.125313 | − | 0.467675i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −8.05728 | − | 6.02030i | −0.440216 | − | 0.328924i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −21.1500 | − | 21.1500i | −1.15212 | − | 1.15212i | −0.986128 | − | 0.165988i | \(-0.946919\pi\) |
−0.165988 | − | 0.986128i | \(-0.553081\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −2.06940 | + | 3.58430i | −0.112394 | + | 0.194673i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −13.4157 | + | 7.74553i | −0.726499 | + | 0.419444i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.4372 | + | 1.75231i | −0.995514 | + | 0.0946160i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 19.3479 | + | 24.5573i | 1.04165 | + | 1.32212i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −4.07182 | + | 1.09104i | −0.218587 | + | 0.0585701i | −0.366450 | − | 0.930438i | \(-0.619427\pi\) |
0.147864 | + | 0.989008i | \(0.452760\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 37.0391 | 1.98266 | 0.991329 | − | 0.131407i | \(-0.0419495\pi\) | ||||
0.991329 | + | 0.131407i | \(0.0419495\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.92304 | 0.209397 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 22.7295 | − | 6.09034i | 1.20977 | − | 0.324156i | 0.403096 | − | 0.915157i | \(-0.367934\pi\) |
0.806671 | + | 0.591001i | \(0.201267\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 14.3249 | + | 18.1819i | 0.760287 | + | 0.964995i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −24.9751 | + | 0.789123i | −1.32182 | + | 0.0417648i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 17.5695 | − | 10.1437i | 0.927281 | − | 0.535366i | 0.0413304 | − | 0.999146i | \(-0.486840\pi\) |
0.885951 | + | 0.463780i | \(0.153507\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.78340 | + | 3.08894i | −0.0938633 | + | 0.162576i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 40.0413 | + | 40.0413i | 2.10162 | + | 2.10162i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.34940 | − | 2.50263i | −0.175316 | − | 0.130994i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.92561 | + | 10.9185i | 0.152715 | + | 0.569942i | 0.999290 | + | 0.0376718i | \(0.0119941\pi\) |
−0.846575 | + | 0.532270i | \(0.821339\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −1.62072 | − | 2.80717i | −0.0843714 | − | 0.146136i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −26.4750 | − | 6.20490i | −1.37451 | − | 0.322142i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.8568 | + | 3.44497i | 0.665700 | + | 0.178374i | 0.575817 | − | 0.817579i | \(-0.304684\pi\) |
0.0898828 | + | 0.995952i | \(0.471351\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 17.8154 | − | 14.7907i | 0.919982 | − | 0.763786i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −4.15513 | + | 4.15513i | −0.214000 | + | 0.214000i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 11.7429i | 0.603191i | 0.953436 | + | 0.301595i | \(0.0975191\pi\) | ||||
−0.953436 | + | 0.301595i | \(0.902481\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 11.6996 | + | 6.75474i | 0.599387 | + | 0.346056i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −8.49569 | + | 31.7063i | −0.434109 | + | 1.62012i | 0.309079 | + | 0.951036i | \(0.399979\pi\) |
−0.743188 | + | 0.669082i | \(0.766687\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −12.5033 | + | 34.4332i | −0.637229 | + | 1.75488i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.190901 | − | 0.712452i | 0.00970404 | − | 0.0362160i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −14.7903 | − | 8.53916i | −0.749895 | − | 0.432952i | 0.0757607 | − | 0.997126i | \(-0.475862\pi\) |
−0.825656 | + | 0.564174i | \(0.809195\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 30.7857i | − | 1.55690i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −29.7497 | + | 29.7497i | −1.50067 | + | 1.50067i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 13.0060 | + | 5.19323i | 0.654400 | + | 0.261300i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −11.6115 | − | 3.11129i | −0.582764 | − | 0.156151i | −0.0446201 | − | 0.999004i | \(-0.514208\pi\) |
−0.538144 | + | 0.842853i | \(0.680874\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −24.9177 | + | 7.52771i | −1.24744 | + | 0.376857i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −12.4166 | − | 21.5062i | −0.620055 | − | 1.07397i | −0.989475 | − | 0.144704i | \(-0.953777\pi\) |
0.369420 | − | 0.929263i | \(-0.379556\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.716930 | + | 2.67562i | 0.0357128 | + | 0.133282i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −24.7982 | + | 3.58821i | −1.23223 | + | 0.178300i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 30.0070 | + | 30.0070i | 1.48739 | + | 1.48739i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −15.8290 | + | 27.4166i | −0.782692 | + | 1.35566i | 0.147676 | + | 0.989036i | \(0.452821\pi\) |
−0.930368 | + | 0.366626i | \(0.880513\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −12.7144 | + | 7.34069i | −0.627157 | + | 0.362089i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.198252 | − | 0.319626i | −0.00975533 | − | 0.0157278i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.17138 | + | 18.3004i | −0.106589 | + | 0.898330i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 15.8900 | − | 4.25772i | 0.778138 | − | 0.208501i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 6.53217 | 0.319118 | 0.159559 | − | 0.987188i | \(-0.448993\pi\) | ||||
0.159559 | + | 0.987188i | \(0.448993\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 23.0995 | 1.12580 | 0.562899 | − | 0.826525i | \(-0.309686\pi\) | ||||
0.562899 | + | 0.826525i | \(0.309686\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 11.1367 | − | 2.98407i | 0.541485 | − | 0.145090i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −22.7936 | + | 0.583625i | −1.10565 | + | 0.0283100i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.258329 | − | 8.17588i | −0.0125014 | − | 0.395659i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 12.2969 | − | 7.09963i | 0.593701 | − | 0.342773i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −5.53350 | + | 9.58430i | −0.266539 | + | 0.461660i | −0.967966 | − | 0.251082i | \(-0.919214\pi\) |
0.701427 | + | 0.712742i | \(0.252547\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.53425 | + | 4.53425i | 0.217902 | + | 0.217902i | 0.807614 | − | 0.589712i | \(-0.200759\pi\) |
−0.589712 | + | 0.807614i | \(0.700759\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 14.7110 | − | 19.6884i | 0.705337 | − | 0.943989i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −8.30031 | − | 30.9772i | −0.397058 | − | 1.48184i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 9.10949 | + | 15.7781i | 0.434772 | + | 0.753047i | 0.997277 | − | 0.0737466i | \(-0.0234956\pi\) |
−0.562505 | + | 0.826794i | \(0.690162\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −8.08469 | − | 4.00985i | −0.384985 | − | 0.190945i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 17.9720 | + | 4.81558i | 0.853875 | + | 0.228795i | 0.659102 | − | 0.752053i | \(-0.270936\pi\) |
0.194773 | + | 0.980848i | \(0.437603\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.60501 | − | 19.0460i | 0.360512 | − | 0.902869i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 4.42311 | − | 4.42311i | 0.209206 | − | 0.209206i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 32.4548i | 1.53164i | 0.643056 | + | 0.765819i | \(0.277666\pi\) | ||||
−0.643056 | + | 0.765819i | \(0.722334\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13.4829 | + | 7.78437i | 0.634886 | + | 0.366552i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −2.15319 | + | 8.03580i | −0.101165 | + | 0.377555i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 5.36865 | + | 3.75315i | 0.251686 | + | 0.175951i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.40043 | + | 8.95853i | −0.112287 | + | 0.419062i | −0.999070 | − | 0.0431250i | \(-0.986269\pi\) |
0.886782 | + | 0.462187i | \(0.152935\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 13.9927 | + | 8.07869i | 0.653123 | + | 0.377081i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 36.2380i | − | 1.68777i | −0.536521 | − | 0.843887i | \(-0.680262\pi\) | ||
0.536521 | − | 0.843887i | \(-0.319738\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.39137 | − | 6.39137i | 0.297032 | − | 0.297032i | −0.542818 | − | 0.839850i | \(-0.682643\pi\) |
0.839850 | + | 0.542818i | \(0.182643\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −4.57023 | − | 10.6460i | −0.211939 | − | 0.493697i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −3.18040 | − | 0.852186i | −0.147171 | − | 0.0394345i | 0.184481 | − | 0.982836i | \(-0.440940\pi\) |
−0.331653 | + | 0.943402i | \(0.607606\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.71559 | + | 11.5868i | −0.125394 | + | 0.535031i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.95752 | − | 6.85462i | −0.182353 | − | 0.315844i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.916902 | + | 3.42193i | 0.0421592 | + | 0.157340i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −22.7781 | + | 6.73278i | −1.04513 | + | 0.308921i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −9.36930 | − | 9.36930i | −0.428991 | − | 0.428991i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 15.1734 | − | 26.2811i | 0.693292 | − | 1.20082i | −0.277462 | − | 0.960737i | \(-0.589493\pi\) |
0.970753 | − | 0.240079i | \(-0.0771735\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.57154 | − | 3.79408i | 0.299636 | − | 0.172995i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 17.4748 | − | 32.6036i | 0.795129 | − | 1.48352i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 8.30848 | + | 0.985820i | 0.377269 | + | 0.0447638i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 28.1791 | − | 7.55058i | 1.27692 | − | 0.342149i | 0.444241 | − | 0.895907i | \(-0.353473\pi\) |
0.832678 | + | 0.553758i | \(0.186807\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 18.2784 | 0.826578 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −25.5532 | −1.15320 | −0.576600 | − | 0.817027i | \(-0.695621\pi\) | ||||
−0.576600 | + | 0.817027i | \(0.695621\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −23.3771 | + | 6.26388i | −1.05285 | + | 0.282111i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −14.0214 | + | 11.0470i | −0.630216 | + | 0.496526i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 12.9381 | − | 24.1393i | 0.580352 | − | 1.08279i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −25.9209 | + | 14.9655i | −1.16038 | + | 0.669946i | −0.951395 | − | 0.307973i | \(-0.900349\pi\) |
−0.208985 | + | 0.977919i | \(0.567016\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −8.65717 | + | 14.9947i | −0.386774 | + | 0.669912i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −10.5316 | − | 10.5316i | −0.469582 | − | 0.469582i | 0.432197 | − | 0.901779i | \(-0.357738\pi\) |
−0.901779 | + | 0.432197i | \(0.857738\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.61332 | − | 11.1497i | −0.0717919 | − | 0.496154i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 6.31118 | + | 23.5536i | 0.280289 | + | 1.04605i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −7.10159 | − | 12.3003i | −0.314772 | − | 0.545202i | 0.664617 | − | 0.747184i | \(-0.268595\pi\) |
−0.979389 | + | 0.201983i | \(0.935261\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.12887 | + | 4.81664i | −0.0499382 | + | 0.213075i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 16.2579 | + | 4.35629i | 0.717803 | + | 0.192335i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 5.63703 | − | 2.41992i | 0.248397 | − | 0.106635i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −39.1573 | + | 39.1573i | −1.72214 | + | 1.72214i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 46.4451i | − | 2.03871i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −21.2944 | − | 12.2943i | −0.932924 | − | 0.538624i | −0.0451888 | − | 0.998978i | \(-0.514389\pi\) |
−0.887735 | + | 0.460355i | \(0.847722\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.19527 | − | 30.5852i | 0.358354 | − | 1.33740i | −0.517856 | − | 0.855468i | \(-0.673270\pi\) |
0.876211 | − | 0.481929i | \(-0.160064\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −24.4709 | − | 12.3202i | −1.06800 | − | 0.537697i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −2.95273 | + | 11.0198i | −0.128623 | + | 0.480028i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.5505 | + | 11.2875i | 0.850020 | + | 0.490759i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 0.183273i | − | 0.00795337i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.96851 | − | 1.96851i | 0.0852656 | − | 0.0852656i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −30.1352 | + | 12.9367i | −1.30286 | + | 0.559304i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 22.6796 | + | 6.07699i | 0.978698 | + | 0.262241i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 43.2583 | − | 2.73635i | 1.86327 | − | 0.117863i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.8368 | + | 18.7700i | 0.465912 | + | 0.806984i | 0.999242 | − | 0.0389236i | \(-0.0123929\pi\) |
−0.533330 | + | 0.845907i | \(0.679060\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −4.77545 | − | 17.8222i | −0.204934 | − | 0.764824i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 4.82116 | + | 33.3191i | 0.206516 | + | 1.42723i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −7.94707 | − | 7.94707i | −0.339792 | − | 0.339792i | 0.516497 | − | 0.856289i | \(-0.327236\pi\) |
−0.856289 | + | 0.516497i | \(0.827236\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.99295 | − | 3.45189i | 0.0850570 | − | 0.147323i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −21.8337 | + | 12.6057i | −0.930147 | + | 0.537021i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.523300 | − | 16.5620i | −0.0222530 | − | 0.704288i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −24.9297 | + | 19.6412i | −1.05821 | + | 0.833724i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −14.1578 | + | 3.79358i | −0.599886 | + | 0.160739i | −0.545968 | − | 0.837806i | \(-0.683838\pi\) |
−0.0539186 | + | 0.998545i | \(0.517171\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.633470 | 0.0267929 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 58.4808 | 2.46906 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −22.8910 | + | 6.13364i | −0.964742 | + | 0.258502i | −0.706607 | − | 0.707607i | \(-0.749775\pi\) |
−0.258136 | + | 0.966109i | \(0.583108\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.43746 | + | 0.526515i | 0.186685 | + | 0.0221506i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 15.6270 | + | 25.1942i | 0.656273 | + | 1.05806i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −20.3034 | + | 11.7221i | −0.851161 | + | 0.491418i | −0.861042 | − | 0.508533i | \(-0.830188\pi\) |
0.00988157 | + | 0.999951i | \(0.496855\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.81550 | + | 3.14454i | −0.0759764 | + | 0.131595i | −0.901510 | − | 0.432757i | \(-0.857541\pi\) |
0.825534 | + | 0.564352i | \(0.190874\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −23.6501 | − | 23.6501i | −0.987996 | − | 0.987996i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 16.1235 | − | 29.6548i | 0.672398 | − | 1.23669i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −8.92952 | − | 33.3254i | −0.371741 | − | 1.38736i | −0.858049 | − | 0.513568i | \(-0.828323\pi\) |
0.486308 | − | 0.873788i | \(-0.338343\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.408631 | + | 0.707769i | 0.0169821 | + | 0.0294139i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 20.8734 | − | 6.30594i | 0.865977 | − | 0.261614i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 61.4725 | + | 16.4715i | 2.54593 | + | 0.682180i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1.25912 | + | 2.93304i | 0.0520584 | + | 0.121266i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −13.1856 | + | 13.1856i | −0.544227 | + | 0.544227i | −0.924765 | − | 0.380538i | \(-0.875739\pi\) |
0.380538 | + | 0.924765i | \(0.375739\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 11.8844i | 0.489688i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 21.9592 | + | 12.6781i | 0.903280 | + | 0.521509i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −5.19125 | + | 19.3740i | −0.213179 | + | 0.795595i | 0.773621 | + | 0.633649i | \(0.218444\pi\) |
−0.986800 | + | 0.161946i | \(0.948223\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 11.4200 | + | 24.4423i | 0.468176 | + | 1.00204i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 5.32045 | − | 19.8562i | 0.217752 | − | 0.812660i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −29.2830 | − | 16.9065i | −1.19647 | − | 0.690783i | −0.236704 | − | 0.971582i | \(-0.576067\pi\) |
−0.959767 | + | 0.280799i | \(0.909401\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 6.43168i | − | 0.262354i | −0.991359 | − | 0.131177i | \(-0.958124\pi\) | ||
0.991359 | − | 0.131177i | \(-0.0418756\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −4.10050 | + | 4.10050i | −0.166985 | + | 0.166985i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 22.6721 | − | 56.7801i | 0.921750 | − | 2.30844i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.68755 | − | 0.988075i | −0.149673 | − | 0.0401047i | 0.183205 | − | 0.983075i | \(-0.441353\pi\) |
−0.332878 | + | 0.942970i | \(0.608020\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −28.3131 | − | 6.63571i | −1.14731 | − | 0.268892i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 4.95104 | + | 8.57546i | 0.200298 | + | 0.346926i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −11.8572 | − | 44.2518i | −0.478909 | − | 1.78731i | −0.606047 | − | 0.795429i | \(-0.707246\pi\) |
0.127138 | − | 0.991885i | \(-0.459421\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −6.96938 | + | 9.32747i | −0.281032 | + | 0.376120i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 15.0385 | + | 15.0385i | 0.605429 | + | 0.605429i | 0.941748 | − | 0.336319i | \(-0.109182\pi\) |
−0.336319 | + | 0.941748i | \(0.609182\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.630180 | + | 1.09150i | −0.0253291 | + | 0.0438712i | −0.878412 | − | 0.477904i | \(-0.841397\pi\) |
0.853083 | + | 0.521775i | \(0.174730\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −20.7147 | + | 11.9596i | −0.831253 | + | 0.479924i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −24.2536 | + | 0.766326i | −0.971699 | + | 0.0307022i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −22.2620 | − | 11.3756i | −0.890479 | − | 0.455025i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 58.8446 | − | 15.7674i | 2.35003 | − | 0.629688i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 31.2525 | 1.24612 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −28.6052 | −1.13876 | −0.569378 | − | 0.822076i | \(-0.692816\pi\) | ||||
−0.569378 | + | 0.822076i | \(0.692816\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −18.5222 | + | 4.96301i | −0.736191 | + | 0.197262i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.71860 | − | 14.4844i | 0.0682007 | − | 0.574794i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.52938 | − | 7.59822i | 0.0605963 | − | 0.301052i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 11.5575 | − | 6.67274i | 0.457208 | − | 0.263969i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 5.62256 | − | 9.73856i | 0.222078 | − | 0.384650i | −0.733361 | − | 0.679839i | \(-0.762049\pi\) |
0.955439 | + | 0.295190i | \(0.0953828\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −34.9847 | − | 34.9847i | −1.37966 | − | 1.37966i | −0.845178 | − | 0.534485i | \(-0.820506\pi\) |
−0.534485 | − | 0.845178i | \(-0.679494\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.62218 | + | 0.379420i | −0.103248 | + | 0.0149397i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −4.92794 | − | 18.3913i | −0.193737 | − | 0.723038i | −0.992590 | − | 0.121511i | \(-0.961226\pi\) |
0.798853 | − | 0.601527i | \(-0.205441\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.440133 | + | 0.762332i | 0.0172767 | + | 0.0299242i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −9.38220 | + | 9.99444i | −0.367718 | + | 0.391713i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −35.7631 | − | 9.58269i | −1.39952 | − | 0.375000i | −0.521346 | − | 0.853345i | \(-0.674570\pi\) |
−0.878171 | + | 0.478346i | \(0.841237\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 42.1862 | + | 16.8448i | 1.64835 | + | 0.658180i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1.70457 | + | 1.70457i | −0.0665017 | + | 0.0665017i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 43.8946i | − | 1.70989i | −0.518719 | − | 0.854945i | \(-0.673591\pi\) | ||
0.518719 | − | 0.854945i | \(-0.326409\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 31.7743 | + | 18.3449i | 1.23588 | + | 0.713534i | 0.968249 | − | 0.249988i | \(-0.0804266\pi\) |
0.267629 | + | 0.963522i | \(0.413760\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 2.70650 | − | 10.1008i | 0.105112 | − | 0.392283i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 18.0811 | + | 21.5154i | 0.701156 | + | 0.834330i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 9.27301 | − | 34.6074i | 0.359053 | − | 1.34000i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −5.74622 | − | 3.31758i | −0.222162 | − | 0.128265i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 19.1444i | 0.739061i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.16595 | − | 4.16595i | 0.160586 | − | 0.160586i | −0.622240 | − | 0.782826i | \(-0.713777\pi\) |
0.782826 | + | 0.622240i | \(0.213777\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 9.24759 | + | 15.1104i | 0.355940 | + | 0.581599i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −17.5741 | − | 4.70896i | −0.675427 | − | 0.180980i | −0.0952289 | − | 0.995455i | \(-0.530358\pi\) |
−0.580198 | + | 0.814475i | \(0.697025\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.86294 | − | 9.47668i | −0.109869 | − | 0.363682i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 22.9028 | + | 39.6687i | 0.877635 | + | 1.52011i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −12.5644 | − | 46.8911i | −0.480765 | − | 1.79424i | −0.598417 | − | 0.801185i | \(-0.704203\pi\) |
0.117652 | − | 0.993055i | \(-0.462463\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 12.6981 | + | 9.48787i | 0.485170 | + | 0.362513i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 9.26604 | + | 9.26604i | 0.353521 | + | 0.353521i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 5.68992 | − | 9.85523i | 0.216769 | − | 0.375454i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 28.7175 | − | 16.5800i | 1.09246 | − | 0.630734i | 0.158233 | − | 0.987402i | \(-0.449420\pi\) |
0.934231 | + | 0.356668i | \(0.116087\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 18.6156 | + | 9.97752i | 0.707148 | + | 0.379015i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −10.9919 | − | 13.9515i | −0.416947 | − | 0.529211i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 11.0750 | − | 2.96754i | 0.419496 | − | 0.112404i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −21.7385 | −0.822224 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −49.8387 | −1.88238 | −0.941191 | − | 0.337874i | \(-0.890292\pi\) | ||||
−0.941191 | + | 0.337874i | \(0.890292\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 31.4469 | − | 8.42616i | 1.18604 | − | 0.317799i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −25.6306 | − | 32.5317i | −0.965305 | − | 1.22521i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −11.3278 | + | 7.02618i | −0.426025 | + | 0.264247i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −14.8597 | + | 8.57923i | −0.558066 | + | 0.322200i | −0.752369 | − | 0.658742i | \(-0.771089\pi\) |
0.194303 | + | 0.980942i | \(0.437756\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.03715 | − | 6.99255i | 0.151405 | − | 0.262241i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −11.9424 | − | 11.9424i | −0.447245 | − | 0.447245i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −12.2811 | − | 9.17630i | −0.459288 | − | 0.343174i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 1.53983 | + | 5.74671i | 0.0575059 | + | 0.214615i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 16.7860 | + | 29.0742i | 0.626012 | + | 1.08429i | 0.988344 | + | 0.152236i | \(0.0486474\pi\) |
−0.362332 | + | 0.932049i | \(0.618019\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.29202 | − | 4.96785i | −0.197085 | − | 0.185012i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −59.3507 | − | 15.9030i | −2.20728 | − | 0.591438i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −25.7990 | − | 6.20964i | −0.958150 | − | 0.230620i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.55262 | + | 1.55262i | −0.0575835 | + | 0.0575835i | −0.735312 | − | 0.677729i | \(-0.762964\pi\) |
0.677729 | + | 0.735312i | \(0.262964\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 7.56747i | − | 0.280277i | ||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.25946 | + | 1.30450i | 0.0835691 | + | 0.0482486i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.45750 | − | 16.6356i | 0.164641 | − | 0.614450i | −0.833444 | − | 0.552604i | \(-0.813634\pi\) |
0.998086 | − | 0.0618467i | \(-0.0196990\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.77971 | + | 32.3680i | −0.0656456 | + | 1.19391i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 7.20880 | − | 26.9036i | 0.265539 | − | 0.991007i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 40.9386 | + | 23.6359i | 1.50595 | + | 0.869461i | 0.999976 | + | 0.00691159i | \(0.00220004\pi\) |
0.505974 | + | 0.862549i | \(0.331133\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 10.8934i | − | 0.400177i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −2.52069 | + | 2.52069i | −0.0924753 | + | 0.0924753i | −0.751831 | − | 0.659356i | \(-0.770829\pi\) |
0.659356 | + | 0.751831i | \(0.270829\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.27213 | − | 2.50444i | −0.229793 | − | 0.0917555i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 10.2631 | + | 2.74999i | 0.375507 | + | 0.100617i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 28.2908 | + | 26.5578i | 1.03372 | + | 0.970401i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.40069 | + | 11.0863i | 0.233564 | + | 0.404546i | 0.958855 | − | 0.283898i | \(-0.0916277\pi\) |
−0.725290 | + | 0.688443i | \(0.758294\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 8.07766 | + | 30.1462i | 0.294366 | + | 1.09859i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.88960 | − | 1.28629i | 0.323526 | − | 0.0468131i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.6605 | + | 22.6605i | 0.823609 | + | 0.823609i | 0.986624 | − | 0.163014i | \(-0.0521217\pi\) |
−0.163014 | + | 0.986624i | \(0.552122\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −43.2873 | + | 74.9758i | −1.57123 | + | 2.72145i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.29607 | − | 5.36709i | 0.336982 | − | 0.194557i | −0.321955 | − | 0.946755i | \(-0.604340\pi\) |
0.658937 | + | 0.752198i | \(0.271007\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 33.8513 | − | 20.9967i | 1.22550 | − | 0.760130i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.54894 | + | 13.0545i | −0.0560021 | + | 0.471985i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.152040 | − | 0.0407389i | 0.00548983 | − | 0.00147100i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 10.4824 | 0.378005 | 0.189002 | − | 0.981977i | \(-0.439475\pi\) | ||||
0.189002 | + | 0.981977i | \(0.439475\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −48.8698 | −1.76000 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 16.3424 | − | 4.37894i | 0.587796 | − | 0.157499i | 0.0473503 | − | 0.998878i | \(-0.484922\pi\) |
0.540446 | + | 0.841379i | \(0.318256\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.61570 | + | 9.06849i | −0.309485 | + | 0.325750i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 33.0980 | + | 17.7397i | 1.18738 | + | 0.636409i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 10.3438 | − | 5.97200i | 0.370605 | − | 0.213969i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −32.0493 | + | 55.5111i | −1.14682 | + | 1.98634i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 13.2963 | + | 13.2963i | 0.475172 | + | 0.475172i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −5.11511 | + | 6.84581i | −0.182566 | + | 0.244337i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −9.55515 | − | 35.6603i | −0.340604 | − | 1.27115i | −0.897664 | − | 0.440680i | \(-0.854737\pi\) |
0.557060 | − | 0.830472i | \(-0.311929\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 20.8759 | + | 36.1581i | 0.743201 | + | 1.28726i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −1.52906 | − | 5.06138i | −0.0543671 | − | 0.179962i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.30662 | + | 0.886006i | 0.117421 | + | 0.0314630i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −17.6499 | + | 44.2026i | −0.625979 | + | 1.56771i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 10.9328 | − | 10.9328i | 0.387258 | − | 0.387258i | −0.486450 | − | 0.873708i | \(-0.661708\pi\) |
0.873708 | + | 0.486450i | \(0.161708\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 40.7825i | 1.44278i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −10.2400 | − | 5.91204i | −0.361811 | − | 0.208892i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 2.99669 | − | 11.1838i | 0.105751 | − | 0.394667i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −39.7896 | − | 3.45098i | −1.40240 | − | 0.121631i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 6.87863 | − | 25.6714i | 0.242139 | − | 0.903676i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −28.0999 | − | 16.2235i | −0.987941 | − | 0.570388i | −0.0832827 | − | 0.996526i | \(-0.526540\pi\) |
−0.904658 | + | 0.426138i | \(0.859874\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 31.4334i | 1.10378i | 0.833918 | + | 0.551889i | \(0.186093\pi\) | ||||
−0.833918 | + | 0.551889i | \(0.813907\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.56267 | + | 2.56267i | −0.0898767 | + | 0.0898767i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −7.78496 | − | 18.1345i | −0.272695 | − | 0.635224i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.62523 | + | 0.703427i | 0.0918451 | + | 0.0246098i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 2.58485 | − | 2.75352i | 0.0903220 | − | 0.0962159i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0.0234891 | + | 0.0406843i | 0.000819775 | + | 0.00141989i | 0.866435 | − | 0.499290i | \(-0.166406\pi\) |
−0.865615 | + | 0.500710i | \(0.833072\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.64342 | + | 21.0615i | 0.196717 | + | 0.734158i | 0.991816 | + | 0.127678i | \(0.0407524\pi\) |
−0.795099 | + | 0.606480i | \(0.792581\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 56.3325 | + | 30.6284i | 1.96125 | + | 1.06634i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 24.9954 | + | 24.9954i | 0.869175 | + | 0.869175i | 0.992381 | − | 0.123206i | \(-0.0393175\pi\) |
−0.123206 | + | 0.992381i | \(0.539318\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 14.5795 | − | 25.2525i | 0.506368 | − | 0.877055i | −0.493605 | − | 0.869686i | \(-0.664321\pi\) |
0.999973 | − | 0.00736882i | \(-0.00234559\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −10.1177 | + | 5.84145i | −0.350979 | + | 0.202638i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 21.1019 | − | 23.9519i | 0.731139 | − | 0.829883i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 18.5638 | + | 2.20263i | 0.642426 | + | 0.0762253i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 8.56193 | − | 2.29416i | 0.295943 | − | 0.0792978i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 6.64683 | 0.229474 | 0.114737 | − | 0.993396i | \(-0.463397\pi\) | ||||
0.114737 | + | 0.993396i | \(0.463397\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.834107 | 0.0287623 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −37.5514 | + | 10.0619i | −1.29334 | + | 0.346549i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 20.6802 | − | 16.2932i | 0.711421 | − | 0.560504i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −72.3047 | + | 2.28457i | −2.48442 | + | 0.0784988i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 22.3710 | − | 12.9159i | 0.767772 | − | 0.443274i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −23.1330 | + | 40.0675i | −0.792988 | + | 1.37350i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 17.5756 | + | 17.5756i | 0.601778 | + | 0.601778i | 0.940784 | − | 0.339006i | \(-0.110091\pi\) |
−0.339006 | + | 0.940784i | \(0.610091\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.96111 | + | 13.5533i | 0.0670687 | + | 0.463512i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 1.32710 | + | 4.95282i | 0.0453330 | + | 0.169185i | 0.984881 | − | 0.173232i | \(-0.0554211\pi\) |
−0.939548 | + | 0.342417i | \(0.888754\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −12.3210 | − | 21.3406i | −0.420388 | − | 0.728133i | 0.575589 | − | 0.817739i | \(-0.304773\pi\) |
−0.995977 | + | 0.0896055i | \(0.971439\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 13.4135 | + | 3.14369i | 0.457129 | + | 0.107137i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −21.0853 | − | 5.64980i | −0.717753 | − | 0.192321i | −0.118584 | − | 0.992944i | \(-0.537836\pi\) |
−0.599169 | + | 0.800623i | \(0.704502\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −46.0794 | + | 19.7814i | −1.56675 | + | 0.672589i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 5.55843 | − | 5.55843i | 0.188774 | − | 0.188774i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 38.7811i | 1.31556i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.31317 | − | 2.49021i | −0.146146 | − | 0.0843775i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 1.24851 | − | 4.65951i | 0.0422557 | − | 0.157700i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.80078 | + | 29.5255i | −0.0608773 | + | 0.998145i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −2.72257 | + | 10.1608i | −0.0919346 | + | 0.343105i | −0.996537 | − | 0.0831520i | \(-0.973501\pi\) |
0.904602 | + | 0.426257i | \(0.140168\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −2.05623 | − | 1.18716i | −0.0693549 | − | 0.0400421i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 20.7283i | 0.698355i | 0.937057 | + | 0.349177i | \(0.113539\pi\) | ||||
−0.937057 | + | 0.349177i | \(0.886461\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −17.1930 | + | 17.1930i | −0.578591 | + | 0.578591i | −0.934515 | − | 0.355924i | \(-0.884166\pi\) |
0.355924 | + | 0.934515i | \(0.384166\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.604950 | + | 0.259699i | −0.0203352 | + | 0.00872968i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −0.403588 | − | 0.108141i | −0.0135512 | − | 0.00363102i | 0.252037 | − | 0.967718i | \(-0.418900\pi\) |
−0.265588 | + | 0.964087i | \(0.585566\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −16.5209 | + | 4.99102i | −0.554093 | + | 0.167393i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −34.6931 | − | 60.0902i | −1.16226 | − | 2.01310i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 10.9956 | + | 41.0362i | 0.367955 | + | 1.37323i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.63034 | − | 25.0893i | −0.121349 | − | 0.838643i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 10.9465 | + | 10.9465i | 0.365492 | + | 0.365492i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −6.63857 | + | 11.4983i | −0.221409 | + | 0.383491i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 40.5896 | − | 23.4344i | 1.35223 | − | 0.780713i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 1.65241 | + | 2.66406i | 0.0549889 | + | 0.0886544i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −15.6480 | + | 12.3285i | −0.520157 | + | 0.409814i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −11.4126 | + | 3.05799i | −0.378949 | + | 0.101539i | −0.443265 | − | 0.896391i | \(-0.646180\pi\) |
0.0643163 | + | 0.997930i | \(0.479513\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −6.49533 | −0.215436 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −19.7567 | −0.654569 | −0.327284 | − | 0.944926i | \(-0.606133\pi\) | ||||
−0.327284 | + | 0.944926i | \(0.606133\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −49.2939 | + | 13.2083i | −1.63139 | + | 0.437130i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −14.2181 | − | 1.68700i | −0.470035 | − | 0.0557707i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −1.69738 | − | 53.7206i | −0.0560524 | − | 1.77401i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 43.7658 | − | 25.2682i | 1.44370 | − | 0.833521i | 0.445607 | − | 0.895229i | \(-0.352988\pi\) |
0.998094 | + | 0.0617072i | \(0.0196545\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −6.85918 | + | 11.8804i | −0.226018 | + | 0.391474i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 8.10463 | + | 8.10463i | 0.266767 | + | 0.266767i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 30.1044 | + | 16.3680i | 0.989827 | + | 0.538177i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.915408 | − | 3.41635i | −0.0300659 | − | 0.112208i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 5.54432 | + | 9.60305i | 0.181903 | + | 0.315066i | 0.942529 | − | 0.334125i | \(-0.108441\pi\) |
−0.760625 | + | 0.649191i | \(0.775108\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 14.7754 | − | 29.7903i | 0.484244 | − | 0.976337i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −13.6331 | − | 3.65297i | −0.446327 | − | 0.119593i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −24.9076 | − | 58.0204i | −0.814564 | − | 1.89747i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −18.1969 | + | 18.1969i | −0.594467 | + | 0.594467i | −0.938835 | − | 0.344368i | \(-0.888093\pi\) |
0.344368 | + | 0.938835i | \(0.388093\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − | 55.8401i | − | 1.82227i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 21.1444 | + | 12.2077i | 0.689288 | + | 0.397960i | 0.803345 | − | 0.595514i | \(-0.203051\pi\) |
−0.114057 | + | 0.993474i | \(0.536385\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.39313 | + | 16.3954i | −0.143060 | + | 0.533907i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 12.0100 | − | 17.1796i | 0.390686 | − | 0.558852i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −7.65277 | + | 28.5605i | −0.248682 | + | 0.928093i | 0.722815 | + | 0.691041i | \(0.242848\pi\) |
−0.971497 | + | 0.237051i | \(0.923819\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.79298 | − | 1.03518i | −0.0582025 | − | 0.0336032i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 38.5439i | − | 1.24987i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 3.22919 | − | 3.22919i | 0.104604 | − | 0.104604i | −0.652868 | − | 0.757472i | \(-0.726434\pi\) |
0.757472 | + | 0.652868i | \(0.226434\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.3911 | + | 33.5367i | −0.433325 | + | 1.08522i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 65.7405 | + | 17.6151i | 2.12509 | + | 0.569416i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 4.27971 | − | 18.2606i | 0.138199 | − | 0.589666i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −12.3706 | − | 21.4266i | −0.399053 | − | 0.691180i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.89371 | + | 18.2636i | 0.157698 | + | 0.588536i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0.528157 | − | 0.706860i | 0.0170020 | − | 0.0227546i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −25.9312 | − | 25.9312i | −0.833892 | − | 0.833892i | 0.154154 | − | 0.988047i | \(-0.450735\pi\) |
−0.988047 | + | 0.154154i | \(0.950735\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 22.4326 | − | 38.8544i | 0.720638 | − | 1.24818i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 46.0713 | − | 26.5993i | 1.47850 | − | 0.853612i | 0.478795 | − | 0.877927i | \(-0.341074\pi\) |
0.999704 | + | 0.0243150i | \(0.00774047\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −9.92777 | + | 18.5228i | −0.318270 | + | 0.593813i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 7.89722 | − | 8.31226i | 0.252914 | − | 0.266205i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −25.3326 | + | 6.78784i | −0.810461 | + | 0.217162i | −0.640172 | − | 0.768232i | \(-0.721137\pi\) |
−0.170289 | + | 0.985394i | \(0.554470\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 56.7914 | 1.81506 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 19.4103 | 0.619723 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 51.9494 | − | 13.9198i | 1.65693 | − | 0.443973i | 0.695389 | − | 0.718634i | \(-0.255232\pi\) |
0.961541 | + | 0.274661i | \(0.0885656\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 3.22569 | − | 27.1861i | 0.102779 | − | 0.866220i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −23.1493 | + | 43.1908i | −0.736849 | + | 1.37478i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −3.34489 | + | 1.93117i | −0.106361 | + | 0.0614077i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 15.9710 | − | 27.6625i | 0.507334 | − | 0.878729i | −0.492630 | − | 0.870239i | \(-0.663964\pi\) |
0.999964 | − | 0.00848990i | \(-0.00270245\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −20.6061 | − | 20.6061i | −0.653916 | − | 0.653916i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −21.9659 | + | 3.17839i | −0.696366 | + | 0.100762i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 7.72489 | + | 28.8297i | 0.244650 | + | 0.913045i | 0.973559 | + | 0.228435i | \(0.0733608\pi\) |
−0.728910 | + | 0.684610i | \(0.759973\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −12.1410 | − | 21.0288i | −0.384124 | − | 0.665322i |
(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 | 280.2.bo.a.17.3 | ✓ | 48 | |
4.3 | odd | 2 | 560.2.ci.e.17.10 | 48 | |||
5.3 | odd | 4 | inner | 280.2.bo.a.73.3 | yes | 48 | |
7.5 | odd | 6 | inner | 280.2.bo.a.257.3 | yes | 48 | |
20.3 | even | 4 | 560.2.ci.e.353.10 | 48 | |||
28.19 | even | 6 | 560.2.ci.e.257.10 | 48 | |||
35.33 | even | 12 | inner | 280.2.bo.a.33.3 | yes | 48 | |
140.103 | odd | 12 | 560.2.ci.e.33.10 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bo.a.17.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
280.2.bo.a.33.3 | yes | 48 | 35.33 | even | 12 | inner | |
280.2.bo.a.73.3 | yes | 48 | 5.3 | odd | 4 | inner | |
280.2.bo.a.257.3 | yes | 48 | 7.5 | odd | 6 | inner | |
560.2.ci.e.17.10 | 48 | 4.3 | odd | 2 | |||
560.2.ci.e.33.10 | 48 | 140.103 | odd | 12 | |||
560.2.ci.e.257.10 | 48 | 28.19 | even | 6 | |||
560.2.ci.e.353.10 | 48 | 20.3 | even | 4 |