Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [644,2,Mod(9,644)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(644, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 22, 30]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("644.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 644 = 2^{2} \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 644.y (of order \(33\), degree \(20\), 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: | \(5.14236589017\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 261.12 | ||
Character | \(\chi\) | \(=\) | 644.261 |
Dual form | 644.2.y.a.417.12 |
$q$-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 \(\left(\mathbb{Z}/644\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) | \(323\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{11}\right)\) | \(1\) |
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 | ||||||||
\(3\) | 0.682046 | − | 0.957799i | 0.393779 | − | 0.552986i | −0.569325 | − | 0.822112i | \(-0.692796\pi\) |
0.963105 | + | 0.269126i | \(0.0867350\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 4.10551 | − | 0.791273i | 1.83604 | − | 0.353868i | 0.850861 | − | 0.525390i | \(-0.176081\pi\) |
0.985180 | + | 0.171522i | \(0.0548686\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.83915 | − | 1.90198i | 0.695134 | − | 0.718880i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.529011 | + | 1.52848i | 0.176337 | + | 0.509492i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.376669 | + | 0.296216i | −0.113570 | + | 0.0893123i | −0.673329 | − | 0.739343i | \(-0.735136\pi\) |
0.559759 | + | 0.828655i | \(0.310894\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.11002 | − | 0.713363i | 0.307863 | − | 0.197851i | −0.377582 | − | 0.925976i | \(-0.623244\pi\) |
0.685445 | + | 0.728125i | \(0.259608\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.04227 | − | 4.47194i | 0.527311 | − | 1.15465i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.181133 | + | 0.172710i | 0.0439311 | + | 0.0418883i | 0.711727 | − | 0.702457i | \(-0.247913\pi\) |
−0.667796 | + | 0.744345i | \(0.732762\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.05065 | + | 5.76929i | −1.38812 | + | 1.32357i | −0.498475 | + | 0.866904i | \(0.666106\pi\) |
−0.889641 | + | 0.456661i | \(0.849045\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.567327 | − | 3.05877i | −0.123801 | − | 0.667479i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.03108 | + | 2.59814i | −0.840539 | + | 0.541751i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 11.5873 | − | 4.63885i | 2.31746 | − | 0.927770i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.20937 | + | 1.52961i | 1.00254 | + | 0.294374i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −8.65285 | + | 2.54071i | −1.60679 | + | 0.471797i | −0.957426 | − | 0.288678i | \(-0.906784\pi\) |
−0.649367 | + | 0.760475i | \(0.724966\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −9.23174 | + | 0.881524i | −1.65807 | + | 0.158326i | −0.881654 | − | 0.471896i | \(-0.843570\pi\) |
−0.776415 | + | 0.630222i | \(0.782964\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.0268097 | + | 0.562806i | 0.00466698 | + | 0.0979719i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 6.04568 | − | 9.26387i | 1.02191 | − | 1.56588i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.12906 | − | 3.26221i | −0.185617 | − | 0.536305i | 0.813349 | − | 0.581776i | \(-0.197642\pi\) |
−0.998966 | + | 0.0454717i | \(0.985521\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.0738222 | − | 1.54972i | 0.0118210 | − | 0.248154i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.55635 | + | 2.95018i | 0.399235 | + | 0.460741i | 0.919400 | − | 0.393324i | \(-0.128675\pi\) |
−0.520165 | + | 0.854066i | \(0.674130\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.31058 | − | 2.86978i | −0.199862 | − | 0.437637i | 0.782989 | − | 0.622035i | \(-0.213694\pi\) |
−0.982852 | + | 0.184398i | \(0.940967\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.38130 | + | 5.85659i | 0.504055 | + | 0.873049i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.20447 | − | 2.08620i | 0.175690 | − | 0.304304i | −0.764710 | − | 0.644375i | \(-0.777118\pi\) |
0.940400 | + | 0.340071i | \(0.110451\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.235037 | − | 6.99605i | −0.0335767 | − | 0.999436i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.288962 | − | 0.0556929i | 0.0404628 | − | 0.00779856i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.336451 | − | 7.06297i | 0.0462151 | − | 0.970173i | −0.850063 | − | 0.526681i | \(-0.823436\pi\) |
0.896278 | − | 0.443492i | \(-0.146261\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.31203 | + | 1.51416i | −0.176914 | + | 0.204170i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.39900 | + | 9.73023i | 0.185302 | + | 1.28880i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −6.85114 | − | 3.53201i | −0.891942 | − | 0.459828i | −0.0495985 | − | 0.998769i | \(-0.515794\pi\) |
−0.842343 | + | 0.538941i | \(0.818824\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.99274 | + | 9.81993i | 0.895328 | + | 1.25731i | 0.965665 | + | 0.259789i | \(0.0836531\pi\) |
−0.0703370 | + | 0.997523i | \(0.522407\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.88006 | + | 1.80493i | 0.488841 | + | 0.227400i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.99272 | − | 3.80705i | 0.495236 | − | 0.472206i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10.8266 | − | 4.33430i | 1.32267 | − | 0.529519i | 0.400501 | − | 0.916296i | \(-0.368836\pi\) |
0.922173 | + | 0.386777i | \(0.126412\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.260883 | + | 5.63302i | −0.0314067 | + | 0.678136i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.26767 | − | 8.81683i | 0.150445 | − | 1.04637i | −0.765031 | − | 0.643993i | \(-0.777277\pi\) |
0.915476 | − | 0.402372i | \(-0.131814\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.444351 | + | 1.83164i | 0.0520073 | + | 0.214377i | 0.991886 | − | 0.127132i | \(-0.0405771\pi\) |
−0.939878 | + | 0.341509i | \(0.889062\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 3.45997 | − | 14.2622i | 0.399523 | − | 1.64686i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.129356 | + | 1.26120i | −0.0147415 | + | 0.143727i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.0445425 | − | 0.935061i | −0.00501142 | − | 0.105203i | −0.999987 | − | 0.00508542i | \(-0.998381\pi\) |
0.994976 | − | 0.100117i | \(-0.0319218\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.20392 | − | 0.946776i | 0.133769 | − | 0.105197i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.40519 | + | 1.62167i | −0.154239 | + | 0.178002i | −0.827610 | − | 0.561303i | \(-0.810300\pi\) |
0.673371 | + | 0.739305i | \(0.264846\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.880303 | + | 0.565737i | 0.0954823 | + | 0.0613627i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.46815 | + | 10.0206i | −0.371825 | + | 1.07432i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.31572 | + | 0.412101i | 0.457465 | + | 0.0436826i | 0.321245 | − | 0.946996i | \(-0.395899\pi\) |
0.136220 | + | 0.990679i | \(0.456505\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.684686 | − | 3.42321i | 0.0717746 | − | 0.358850i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −5.45215 | + | 9.44339i | −0.565361 | + | 0.979234i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −20.2760 | + | 28.4736i | −2.08027 | + | 2.92133i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −11.2294 | − | 12.9594i | −1.14017 | − | 1.31583i | −0.941981 | − | 0.335666i | \(-0.891039\pi\) |
−0.198192 | − | 0.980163i | \(-0.563507\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.652020 | − | 0.419028i | −0.0655305 | − | 0.0421139i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −9.40244 | − | 1.81217i | −0.935578 | − | 0.180318i | −0.301394 | − | 0.953500i | \(-0.597452\pi\) |
−0.634184 | + | 0.773182i | \(0.718664\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.89860 | − | 3.96280i | −0.975338 | − | 0.390467i | −0.171415 | − | 0.985199i | \(-0.554834\pi\) |
−0.803924 | + | 0.594732i | \(0.797258\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −4.74949 | − | 12.1089i | −0.463503 | − | 1.18171i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 6.50850 | + | 9.13991i | 0.629201 | + | 0.883589i | 0.998963 | − | 0.0455377i | \(-0.0145001\pi\) |
−0.369762 | + | 0.929127i | \(0.620561\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.08827 | − | 3.89816i | −0.391586 | − | 0.373376i | 0.468554 | − | 0.883435i | \(-0.344775\pi\) |
−0.860140 | + | 0.510059i | \(0.829624\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.89462 | − | 1.14356i | −0.369661 | − | 0.108542i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.839549 | + | 5.83919i | −0.0789781 | + | 0.549305i | 0.911464 | + | 0.411379i | \(0.134953\pi\) |
−0.990443 | + | 0.137926i | \(0.955956\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −14.4938 | + | 13.8564i | −1.35156 | + | 1.29212i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.67757 | + | 1.31925i | 0.155091 | + | 0.121965i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.661621 | − | 0.0268709i | 0.0606507 | − | 0.00246325i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.53921 | + | 10.4668i | −0.230838 | + | 0.951525i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 4.56923 | − | 0.436309i | 0.411994 | − | 0.0393406i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 26.3145 | − | 16.9113i | 2.35364 | − | 1.51259i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.545744 | + | 3.79573i | 0.0484269 | + | 0.336817i | 0.999603 | + | 0.0281684i | \(0.00896748\pi\) |
−0.951176 | + | 0.308648i | \(0.900123\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −3.64255 | − | 0.702044i | −0.320709 | − | 0.0618116i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.06772 | − | 3.64366i | 0.617510 | − | 0.318348i | −0.120937 | − | 0.992660i | \(-0.538590\pi\) |
0.738447 | + | 0.674312i | \(0.235560\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.155021 | + | 22.1188i | −0.0134420 | + | 1.91794i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 22.5975 | + | 2.15780i | 1.94488 | + | 0.185714i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.88720 | + | 11.9290i | 0.588413 | + | 1.01916i | 0.994440 | + | 0.105300i | \(0.0335804\pi\) |
−0.406027 | + | 0.913861i | \(0.633086\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.2810 | 0.872019 | 0.436010 | − | 0.899942i | \(-0.356391\pi\) | ||||
0.436010 | + | 0.899942i | \(0.356391\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.17666 | − | 2.57652i | −0.0990926 | − | 0.216982i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.206799 | + | 0.597505i | −0.0172934 | + | 0.0499659i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −33.5140 | + | 17.2777i | −2.78319 | + | 1.43483i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −6.86112 | − | 4.54651i | −0.565896 | − | 0.374990i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 10.3311 | + | 4.13596i | 0.846359 | + | 0.338831i | 0.753984 | − | 0.656893i | \(-0.228130\pi\) |
0.0923755 | + | 0.995724i | \(0.470554\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −15.7550 | − | 8.12228i | −1.28213 | − | 0.660981i | −0.323655 | − | 0.946175i | \(-0.604912\pi\) |
−0.958470 | + | 0.285194i | \(0.907942\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.168162 | + | 0.368222i | −0.0135951 | + | 0.0297690i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −37.2035 | + | 10.9239i | −2.98826 | + | 0.877432i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.55001 | − | 18.7554i | −0.363130 | − | 1.49684i | −0.801471 | − | 0.598033i | \(-0.795949\pi\) |
0.438341 | − | 0.898809i | \(-0.355566\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −6.53543 | − | 5.13952i | −0.518294 | − | 0.407591i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.47217 | + | 12.4454i | −0.194834 | + | 0.980836i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.52989 | + | 3.56235i | 0.354809 | + | 0.279025i | 0.779614 | − | 0.626260i | \(-0.215415\pi\) |
−0.424806 | + | 0.905285i | \(0.639658\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.555401 | + | 2.28939i | 0.0432379 | + | 0.178229i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.35897 | − | 0.692655i | 0.182542 | − | 0.0535993i | −0.189184 | − | 0.981942i | \(-0.560584\pi\) |
0.371726 | + | 0.928342i | \(0.378766\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.67715 | + | 10.2415i | −0.359781 | + | 0.787810i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −12.0191 | − | 6.19627i | −0.919122 | − | 0.473840i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 15.6543 | + | 6.26703i | 1.19017 | + | 0.476473i | 0.880352 | − | 0.474322i | \(-0.157307\pi\) |
0.309821 | + | 0.950795i | \(0.399731\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 12.4878 | − | 30.5703i | 0.943989 | − | 2.31090i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −8.05574 | + | 4.15302i | −0.605507 | + | 0.312160i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.29220 | + | 3.73356i | −0.0965834 | + | 0.279060i | −0.982935 | − | 0.183953i | \(-0.941110\pi\) |
0.886352 | + | 0.463013i | \(0.153232\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.247994 | − | 0.543031i | −0.0184332 | − | 0.0403632i | 0.900191 | − | 0.435494i | \(-0.143426\pi\) |
−0.918625 | + | 0.395131i | \(0.870699\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 14.1749 | 1.04784 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −7.21669 | − | 12.4997i | −0.530581 | − | 0.918994i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.119386 | − | 0.0114000i | −0.00873039 | − | 0.000833651i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 12.4901 | − | 7.09492i | 0.908522 | − | 0.516080i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 4.53211 | − | 2.33646i | 0.327932 | − | 0.169061i | −0.286396 | − | 0.958111i | \(-0.592457\pi\) |
0.614328 | + | 0.789051i | \(0.289427\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.01751 | + | 0.388844i | 0.145224 | + | 0.0279896i | 0.261345 | − | 0.965245i | \(-0.415834\pi\) |
−0.116121 | + | 0.993235i | \(0.537046\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.923172 | − | 6.42080i | −0.0661097 | − | 0.459803i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 9.78832 | − | 6.29057i | 0.697389 | − | 0.448185i | −0.143317 | − | 0.989677i | \(-0.545777\pi\) |
0.840706 | + | 0.541492i | \(0.182140\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.70747 | − | 0.831462i | 0.617256 | − | 0.0589408i | 0.218256 | − | 0.975892i | \(-0.429963\pi\) |
0.399000 | + | 0.916951i | \(0.369357\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 3.23282 | − | 13.3259i | 0.228025 | − | 0.939934i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −11.0815 | + | 21.1303i | −0.777772 | + | 1.48305i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 12.8295 | + | 10.0893i | 0.896053 | + | 0.704664i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −6.10369 | − | 4.78697i | −0.424236 | − | 0.332717i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.570140 | − | 3.96541i | 0.0394374 | − | 0.274293i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.03576 | − | 1.18501i | −0.277833 | − | 0.0815791i | 0.139848 | − | 0.990173i | \(-0.455339\pi\) |
−0.417681 | + | 0.908594i | \(0.637157\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −7.58015 | − | 7.22766i | −0.519383 | − | 0.495231i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −7.65140 | − | 10.7449i | −0.521821 | − | 0.732795i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −15.3019 | + | 19.1798i | −1.03876 | + | 1.30201i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 2.05741 | + | 0.823663i | 0.139027 | + | 0.0556580i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.324265 | + | 0.0624969i | 0.0218124 | + | 0.00420400i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −20.9312 | − | 13.4517i | −1.40166 | − | 0.900792i | −0.401771 | − | 0.915740i | \(-0.631605\pi\) |
−0.999888 | + | 0.0149486i | \(0.995242\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 13.2202 | + | 15.2569i | 0.881345 | + | 1.01713i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −2.87711 | + | 4.04033i | −0.190960 | + | 0.268166i | −0.898945 | − | 0.438062i | \(-0.855665\pi\) |
0.707985 | + | 0.706228i | \(0.249605\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.49777 | + | 16.4506i | −0.627630 | + | 1.08709i | 0.360396 | + | 0.932800i | \(0.382642\pi\) |
−0.988026 | + | 0.154288i | \(0.950692\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.11975 | + | 0.984094i | 0.0736742 | + | 0.0647486i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 9.66231 | + | 0.922638i | 0.632999 | + | 0.0604440i | 0.406623 | − | 0.913596i | \(-0.366706\pi\) |
0.226376 | + | 0.974040i | \(0.427312\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.29421 | − | 9.51799i | 0.214890 | − | 0.620885i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.925981 | − | 0.595092i | −0.0601489 | − | 0.0386554i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 11.7079 | − | 13.5117i | 0.757324 | − | 0.873998i | −0.237933 | − | 0.971282i | \(-0.576470\pi\) |
0.995257 | + | 0.0972836i | \(0.0310154\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.43026 | − | 1.12477i | 0.0921310 | − | 0.0724526i | −0.571031 | − | 0.820928i | \(-0.693456\pi\) |
0.663162 | + | 0.748476i | \(0.269214\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.689319 | + | 14.4706i | 0.0442198 | + | 0.928288i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −6.50073 | − | 28.5364i | −0.415317 | − | 1.82312i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.60072 | + | 10.7203i | −0.165480 | + | 0.682117i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.594834 | + | 2.45194i | 0.0376961 | + | 0.155385i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.67120 | + | 11.6234i | −0.105485 | + | 0.733664i | 0.866595 | + | 0.499013i | \(0.166304\pi\) |
−0.972080 | + | 0.234651i | \(0.924605\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.748773 | − | 2.17271i | 0.0470749 | − | 0.136597i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.14227 | − | 0.457296i | 0.0715317 | − | 0.0286370i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 13.4913 | − | 12.8639i | 0.841566 | − | 0.802431i | −0.140675 | − | 0.990056i | \(-0.544927\pi\) |
0.982241 | + | 0.187625i | \(0.0600789\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.28118 | − | 3.85226i | −0.514567 | − | 0.239368i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −8.46086 | − | 11.8816i | −0.523714 | − | 0.735453i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 23.9971 | + | 12.3714i | 1.47973 | + | 0.762851i | 0.993804 | − | 0.111151i | \(-0.0354537\pi\) |
0.485922 | + | 0.874002i | \(0.338484\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.20743 | − | 29.2633i | −0.258461 | − | 1.79763i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.33823 | − | 3.85252i | 0.204296 | − | 0.235770i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1.06400 | + | 22.3361i | −0.0648732 | + | 1.36186i | 0.698366 | + | 0.715741i | \(0.253911\pi\) |
−0.763239 | + | 0.646116i | \(0.776392\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 19.7787 | − | 3.81204i | 1.20147 | − | 0.231565i | 0.451035 | − | 0.892506i | \(-0.351055\pi\) |
0.750437 | + | 0.660941i | \(0.229843\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2.81176 | − | 2.99058i | −0.170175 | − | 0.180998i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.99047 | + | 5.17964i | −0.180332 | + | 0.312344i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.781827 | − | 1.35416i | −0.0469755 | − | 0.0813639i | 0.841582 | − | 0.540130i | \(-0.181625\pi\) |
−0.888557 | + | 0.458766i | \(0.848292\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −6.23108 | − | 13.6442i | −0.373045 | − | 0.816854i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 20.7365 | + | 23.9312i | 1.23704 | + | 1.42762i | 0.866784 | + | 0.498684i | \(0.166183\pi\) |
0.370252 | + | 0.928931i | \(0.379271\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.521671 | − | 10.9512i | 0.0310101 | − | 0.650982i | −0.928842 | − | 0.370476i | \(-0.879195\pi\) |
0.959852 | − | 0.280506i | \(-0.0905023\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 13.4429 | + | 38.8406i | 0.796287 | + | 2.30072i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 10.3127 | + | 0.563720i | 0.608740 | + | 0.0332753i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.805912 | − | 16.9182i | −0.0474066 | − | 0.995187i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −20.0715 | + | 1.91659i | −1.17661 | + | 0.112353i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −20.1593 | + | 5.91930i | −1.17772 | + | 0.345809i | −0.811294 | − | 0.584638i | \(-0.801236\pi\) |
−0.366425 | + | 0.930448i | \(0.619418\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −30.9222 | − | 9.07958i | −1.80036 | − | 0.528634i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −2.41530 | + | 0.966941i | −0.140150 | + | 0.0561076i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2.62114 | + | 5.75961i | −0.151585 | + | 0.333087i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.86862 | − | 2.78526i | −0.453540 | − | 0.160540i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −8.14859 | + | 7.76967i | −0.468124 | + | 0.446356i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 36.4790 | + | 34.7827i | 2.08878 | + | 1.99165i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.66854 | − | 10.2227i | 0.266447 | − | 0.583439i | −0.728362 | − | 0.685192i | \(-0.759718\pi\) |
0.994810 | + | 0.101754i | \(0.0324454\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −10.5469 | + | 6.77806i | −0.599991 | + | 0.385591i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 13.7288 | − | 10.7964i | 0.778489 | − | 0.612210i | −0.147803 | − | 0.989017i | \(-0.547220\pi\) |
0.926292 | + | 0.376807i | \(0.122978\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.51137 | − | 15.9241i | −0.311521 | − | 0.900081i | −0.986718 | − | 0.162444i | \(-0.948062\pi\) |
0.675197 | − | 0.737638i | \(-0.264059\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 17.3578 | + | 4.34000i | 0.978003 | + | 0.244531i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 23.5785 | − | 4.54439i | 1.32430 | − | 0.255238i | 0.522404 | − | 0.852698i | \(-0.325035\pi\) |
0.801899 | + | 0.597460i | \(0.203823\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.50666 | − | 3.52011i | 0.140346 | − | 0.197088i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 13.1933 | 0.736378 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.09238 | −0.116423 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.55288 | − | 13.4151i | 0.529898 | − | 0.744138i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −6.52205 | + | 1.25702i | −0.360670 | + | 0.0695134i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.75271 | − | 6.12771i | −0.0966298 | − | 0.337832i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.36796 | + | 18.3990i | 0.350015 | + | 1.01130i | 0.973346 | + | 0.229343i | \(0.0736577\pi\) |
−0.623331 | + | 0.781958i | \(0.714221\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 4.38893 | − | 3.45149i | 0.240512 | − | 0.189141i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 41.0190 | − | 26.3613i | 2.24111 | − | 1.44027i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.26208 | − | 13.7120i | 0.341117 | − | 0.746942i | −0.658869 | − | 0.752258i | \(-0.728965\pi\) |
0.999986 | + | 0.00531552i | \(0.00169199\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 5.02016 | + | 4.78671i | 0.272658 | + | 0.259979i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.21619 | − | 3.06663i | 0.174166 | − | 0.166067i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −13.7386 | − | 12.4198i | −0.741815 | − | 0.670605i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 3.38620 | + | 23.3329i | 0.182307 | + | 1.25620i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 13.9569 | − | 5.58748i | 0.749243 | − | 0.299952i | 0.0345626 | − | 0.999403i | \(-0.488996\pi\) |
0.714681 | + | 0.699451i | \(0.246572\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.9902 | + | 3.22703i | 0.588294 | + | 0.172739i | 0.562314 | − | 0.826924i | \(-0.309911\pi\) |
0.0259800 | + | 0.999662i | \(0.491729\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.87365 | − | 2.01829i | 0.366888 | − | 0.107728i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −25.2657 | + | 2.41258i | −1.34476 | + | 0.128409i | −0.742474 | − | 0.669874i | \(-0.766348\pi\) |
−0.602282 | + | 0.798283i | \(0.705742\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.77209 | − | 37.2007i | −0.0940526 | − | 1.97441i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.425519 | − | 0.652027i | 0.0225208 | − | 0.0345089i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 1.34111 | + | 3.87488i | 0.0707810 | + | 0.204508i | 0.974843 | − | 0.222894i | \(-0.0715502\pi\) |
−0.904062 | + | 0.427402i | \(0.859429\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.42169 | − | 50.8375i | 0.127457 | − | 2.67566i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 8.29321 | + | 9.57088i | 0.435281 | + | 0.502341i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.27362 | + | 7.16822i | 0.171349 | + | 0.375202i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.66823 | − | 6.35356i | −0.191480 | − | 0.331653i | 0.754261 | − | 0.656575i | \(-0.227995\pi\) |
−0.945741 | + | 0.324922i | \(0.894662\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −3.15695 | + | 5.46800i | −0.164344 | + | 0.284653i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −12.8148 | − | 13.6298i | −0.665313 | − | 0.707624i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −18.1223 | + | 3.49278i | −0.938335 | + | 0.180849i | −0.635419 | − | 0.772168i | \(-0.719172\pi\) |
−0.302917 | + | 0.953017i | \(0.597960\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.75006 | − | 36.7383i | 0.0903727 | − | 1.89716i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −7.79235 | + | 8.99285i | −0.401326 | + | 0.463155i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.13327 | + | 21.7923i | 0.160945 | + | 1.11940i | 0.896857 | + | 0.442320i | \(0.145845\pi\) |
−0.735912 | + | 0.677077i | \(0.763246\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.00777 | + | 2.06615i | 0.205324 | + | 0.105852i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 16.7562 | + | 23.5307i | 0.856200 | + | 1.20236i | 0.977749 | + | 0.209779i | \(0.0672744\pi\) |
−0.121549 | + | 0.992585i | \(0.538786\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.466882 | + | 5.28023i | 0.0237945 | + | 0.269106i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 3.69308 | − | 3.52134i | 0.187730 | − | 0.179000i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −7.66489 | + | 3.06856i | −0.388625 | + | 0.155582i | −0.557743 | − | 0.830014i | \(-0.688332\pi\) |
0.169118 | + | 0.985596i | \(0.445908\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.17889 | − | 0.225598i | −0.0596188 | − | 0.0114090i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.33061 | − | 9.25461i | 0.0671205 | − | 0.466833i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.922758 | − | 3.80366i | −0.0464290 | − | 0.191383i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.65760 | − | 19.1989i | 0.233758 | − | 0.963564i | −0.727102 | − | 0.686530i | \(-0.759133\pi\) |
0.960860 | − | 0.277035i | \(-0.0893517\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 21.0796 | + | 15.2345i | 1.05530 | + | 0.762680i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −0.802775 | − | 16.8523i | −0.0400887 | − | 0.841564i | −0.925957 | − | 0.377628i | \(-0.876740\pi\) |
0.885869 | − | 0.463936i | \(-0.153563\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −9.61852 | + | 7.56409i | −0.479133 | + | 0.376794i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 4.19357 | − | 4.83964i | 0.208380 | − | 0.240483i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.39160 | + | 0.894328i | 0.0689791 | + | 0.0443302i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.21864 | − | 9.29966i | 0.159152 | − | 0.459838i | −0.837029 | − | 0.547159i | \(-0.815709\pi\) |
0.996180 | + | 0.0873206i | \(0.0278305\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 16.1230 | + | 1.53956i | 0.795287 | + | 0.0759407i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −19.3181 | + | 6.53481i | −0.950580 | + | 0.321557i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.48583 | + | 7.76968i | −0.220201 | + | 0.381399i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 7.01208 | − | 9.84709i | 0.343383 | − | 0.482214i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 5.99929 | + | 6.92355i | 0.293085 | + | 0.338238i | 0.883126 | − | 0.469135i | \(-0.155434\pi\) |
−0.590042 | + | 0.807373i | \(0.700889\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.08324 | − | 0.696159i | −0.0527941 | − | 0.0339287i | 0.513978 | − | 0.857804i | \(-0.328171\pi\) |
−0.566772 | + | 0.823875i | \(0.691808\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.82589 | + | 0.737379i | 0.186021 | + | 0.0358526i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 2.90001 | + | 1.16099i | 0.140671 | + | 0.0563163i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 31.5380 | + | 4.76031i | 1.52623 | + | 0.230368i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.431244 | + | 0.605598i | 0.0208207 | + | 0.0292385i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 4.43664 | + | 4.23033i | 0.213705 | + | 0.203768i | 0.789369 | − | 0.613919i | \(-0.210408\pi\) |
−0.575664 | + | 0.817686i | \(0.695256\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.52525 | + | 1.62236i | 0.265527 | + | 0.0779657i | 0.411786 | − | 0.911281i | \(-0.364905\pi\) |
−0.146259 | + | 0.989246i | \(0.546723\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −6.30954 | + | 43.8838i | −0.302519 | + | 2.10407i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 9.40126 | − | 38.9770i | 0.449723 | − | 1.86452i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.68118 | + | 4.46773i | 0.271148 | + | 0.213233i | 0.744469 | − | 0.667657i | \(-0.232703\pi\) |
−0.473321 | + | 0.880890i | \(0.656945\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 10.5690 | − | 4.06024i | 0.503284 | − | 0.193345i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −2.68977 | + | 11.0874i | −0.127795 | + | 0.526777i | 0.871541 | + | 0.490324i | \(0.163121\pi\) |
−0.999335 | + | 0.0364539i | \(0.988394\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 18.0443 | − | 1.72302i | 0.855383 | − | 0.0816791i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 11.0077 | − | 7.07424i | 0.520648 | − | 0.334600i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −1.94753 | − | 13.5453i | −0.0919094 | − | 0.639244i | −0.982752 | − | 0.184931i | \(-0.940794\pi\) |
0.890842 | − | 0.454313i | \(-0.150115\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.83679 | − | 0.354012i | −0.0864909 | − | 0.0166698i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −18.5252 | + | 9.55038i | −0.870388 | + | 0.448716i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.102295 | − | 14.5958i | 0.00479568 | − | 0.684262i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −28.3468 | − | 2.70679i | −1.32601 | − | 0.126618i | −0.592098 | − | 0.805866i | \(-0.701700\pi\) |
−0.733909 | + | 0.679247i | \(0.762306\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.679409 | + | 1.17677i | 0.0317121 | + | 0.0549270i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −21.6390 | −1.00783 | −0.503914 | − | 0.863754i | \(-0.668107\pi\) | ||||
−0.503914 | + | 0.863754i | \(0.668107\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.02073 | − | 10.9939i | −0.233333 | − | 0.510929i | 0.756356 | − | 0.654160i | \(-0.226978\pi\) |
−0.989689 | + | 0.143232i | \(0.954251\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −14.9116 | + | 43.0841i | −0.691507 | + | 1.99798i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −11.7826 | + | 6.07437i | −0.545236 | + | 0.281088i | −0.708759 | − | 0.705451i | \(-0.750744\pi\) |
0.163523 | + | 0.986540i | \(0.447714\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.6679 | − | 28.5633i | 0.538776 | − | 1.31893i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −21.0672 | − | 8.43404i | −0.970725 | − | 0.388620i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 1.34373 | + | 0.692741i | 0.0617847 | + | 0.0318522i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −43.3478 | + | 94.9185i | −1.98893 | + | 4.35516i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 10.9736 | − | 3.22213i | 0.502445 | − | 0.147531i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −2.37275 | − | 9.78062i | −0.108414 | − | 0.446888i | 0.891568 | − | 0.452887i | \(-0.149606\pi\) |
−0.999982 | + | 0.00599853i | \(0.998091\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.58042 | − | 2.81567i | −0.163253 | − | 0.128384i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 10.2341 | + | 10.8562i | 0.465667 | + | 0.493973i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −56.3569 | − | 44.3196i | −2.55903 | − | 2.01245i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.32837 | + | 30.2079i | 0.332080 | + | 1.36885i | 0.855952 | + | 0.517056i | \(0.172972\pi\) |
−0.523872 | + | 0.851797i | \(0.675513\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 6.50161 | − | 1.90904i | 0.294013 | − | 0.0863300i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 1.54913 | − | 3.39213i | 0.0699114 | − | 0.153085i | −0.871450 | − | 0.490484i | \(-0.836820\pi\) |
0.941362 | + | 0.337399i | \(0.109547\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.00612 | − | 1.03423i | −0.0903510 | − | 0.0465792i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −3.00844 | − | 1.20440i | −0.135219 | − | 0.0541337i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −14.4380 | − | 18.6266i | −0.647632 | − | 0.835516i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.73178 | + | 2.43940i | −0.211823 | + | 0.109203i | −0.560874 | − | 0.827901i | \(-0.689535\pi\) |
0.349050 | + | 0.937104i | \(0.386504\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.945499 | − | 2.73184i | 0.0422418 | − | 0.122050i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 8.82443 | + | 19.3228i | 0.393462 | + | 0.861562i | 0.997892 | + | 0.0649032i | \(0.0206739\pi\) |
−0.604429 | + | 0.796659i | \(0.706599\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −40.0358 | −1.78157 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 6.61930 | + | 11.4650i | 0.293973 | + | 0.509177i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 16.0026 | + | 1.52806i | 0.709303 | + | 0.0677303i | 0.443471 | − | 0.896289i | \(-0.353747\pi\) |
0.265833 | + | 0.964019i | \(0.414353\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.30097 | + | 2.52352i | 0.190264 | + | 0.111634i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −40.3449 | + | 20.7992i | −1.78127 | + | 0.918308i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −43.7745 | − | 8.43685i | −1.92894 | − | 0.371772i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.164279 | + | 1.14259i | 0.00722500 | + | 0.0502510i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 16.6795 | − | 10.7193i | 0.732148 | − | 0.470523i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −23.1284 | + | 2.20849i | −1.01327 | + | 0.0967558i | −0.588461 | − | 0.808526i | \(-0.700266\pi\) |
−0.424812 | + | 0.905282i | \(0.639660\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −7.33356 | + | 30.2294i | −0.320674 | + | 1.32184i | 0.552126 | + | 0.833760i | \(0.313817\pi\) |
−0.872801 | + | 0.488077i | \(0.837699\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −20.7630 | − | 32.8112i | −0.906171 | − | 1.43200i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.82442 | − | 1.43474i | −0.0794729 | − | 0.0624982i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.49929 | − | 20.9467i | 0.413013 | − | 0.910725i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.77426 | − | 12.3403i | 0.0769964 | − | 0.535522i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 4.94214 | + | 1.45114i | 0.214068 | + | 0.0628560i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 33.9529 | + | 32.3740i | 1.46791 | + | 1.39965i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 2.69466 | + | 3.78413i | 0.116283 | + | 0.163297i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 2.16087 | + | 2.56557i | 0.0930753 | + | 0.110507i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 14.5740 | + | 5.83453i | 0.626583 | + | 0.250846i | 0.663152 | − | 0.748485i | \(-0.269218\pi\) |
−0.0365683 | + | 0.999331i | \(0.511643\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.689258 | − | 0.132844i | −0.0295789 | − | 0.00570086i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −19.8690 | − | 12.7690i | −0.851093 | − | 0.546964i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.06678 | + | 4.69332i | 0.173883 | + | 0.200672i | 0.836001 | − | 0.548728i | \(-0.184888\pi\) |
−0.662118 | + | 0.749400i | \(0.730342\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −11.3103 | + | 15.8831i | −0.482711 | + | 0.677873i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 37.6973 | − | 65.2937i | 1.60596 | − | 2.78161i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.86039 | − | 1.63500i | −0.0791117 | − | 0.0695273i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −16.8943 | − | 1.61321i | −0.717123 | − | 0.0684769i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −7.69400 | + | 22.2303i | −0.326005 | + | 0.941930i | 0.656277 | + | 0.754520i | \(0.272130\pi\) |
−0.982282 | + | 0.187410i | \(0.939991\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.50196 | − | 2.25058i | −0.148117 | − | 0.0951892i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.0923459 | + | 0.106573i | −0.00389885 | + | 0.00449951i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −12.4030 | + | 9.75386i | −0.522726 | + | 0.411076i | −0.844351 | − | 0.535791i | \(-0.820014\pi\) |
0.321625 | + | 0.946867i | \(0.395771\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.17361 | + | 24.6372i | 0.0493743 | + | 1.03649i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.413453 | − | 4.03110i | 0.0173634 | − | 0.169290i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 4.05805 | − | 16.7275i | 0.170122 | − | 0.701253i | −0.821293 | − | 0.570506i | \(-0.806747\pi\) |
0.991416 | − | 0.130747i | \(-0.0417377\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.26697 | + | 34.0769i | 0.345962 | + | 1.42607i | 0.833281 | + | 0.552850i | \(0.186460\pi\) |
−0.487319 | + | 0.873224i | \(0.662025\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.853242 | − | 5.93443i | 0.0356447 | − | 0.247914i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −34.6569 | + | 48.8051i | −1.44529 | + | 2.03531i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −21.5401 | + | 8.62336i | −0.896726 | + | 0.358995i | −0.773807 | − | 0.633422i | \(-0.781650\pi\) |
−0.122919 | + | 0.992417i | \(0.539226\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1.74847 | − | 1.66716i | 0.0726640 | − | 0.0692850i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.500031 | + | 5.65513i | 0.0207448 | + | 0.234615i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.96543 | + | 2.76006i | 0.0813998 | + | 0.114310i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 7.93117 | + | 4.08880i | 0.327914 | + | 0.169051i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 3.76917 | + | 26.2152i | 0.155570 | + | 1.08202i | 0.906674 | + | 0.421832i | \(0.138613\pi\) |
−0.751104 | + | 0.660184i | \(0.770478\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 50.7723 | − | 58.5944i | 2.09204 | − | 2.41434i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.650978 | − | 13.6657i | 0.0267777 | − | 0.562132i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −10.8174 | + | 2.08489i | −0.444218 | + | 0.0856161i | −0.406455 | − | 0.913671i | \(-0.633235\pi\) |
−0.0377630 | + | 0.999287i | \(0.512023\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.69503 | − | 0.633841i | 0.110485 | − | 0.0259850i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 5.14252 | − | 8.90710i | 0.210469 | − | 0.364543i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −7.35854 | − | 12.7454i | −0.300662 | − | 0.520762i | 0.675624 | − | 0.737246i | \(-0.263874\pi\) |
−0.976286 | + | 0.216484i | \(0.930541\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9.36587 | + | 20.5084i | 0.382042 | + | 0.836555i | 0.998780 | + | 0.0493866i | \(0.0157266\pi\) |
−0.616738 | + | 0.787169i | \(0.711546\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 12.3522 | + | 14.2552i | 0.503022 | + | 0.580518i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.14270 | + | 44.9807i | −0.0871129 | + | 1.82873i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.17682 | − | 23.6254i | −0.331887 | − | 0.958925i | −0.980279 | − | 0.197618i | \(-0.936679\pi\) |
0.648392 | − | 0.761307i | \(-0.275442\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 12.6804 | + | 25.0257i | 0.513837 | + | 1.01409i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.151241 | − | 3.17494i | −0.00611855 | − | 0.128444i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −40.7720 | + | 3.89325i | −1.64676 | + | 0.157247i | −0.876805 | − | 0.480846i | \(-0.840330\pi\) |
−0.769959 | + | 0.638093i | \(0.779724\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 18.4138 | − | 5.40678i | 0.742516 | − | 0.218023i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −11.8520 | − | 3.48005i | −0.477143 | − | 0.140102i | 0.0343134 | − | 0.999411i | \(-0.489076\pi\) |
−0.511456 | + | 0.859309i | \(0.670894\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −31.9252 | + | 12.7809i | −1.28318 | + | 0.513708i | −0.910215 | − | 0.414136i | \(-0.864084\pi\) |
−0.372967 | + | 0.927845i | \(0.621659\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −24.9736 | + | 7.36872i | −1.00215 | + | 0.295696i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 8.72107 | − | 7.45048i | 0.349402 | − | 0.298497i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 49.4871 | − | 47.1858i | 1.97948 | − | 1.88743i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −3.40920 | − | 3.25067i | −0.136150 | − | 0.129819i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.358906 | − | 0.785894i | 0.0143105 | − | 0.0313356i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.1279 | + | 6.50882i | −0.403186 | + | 0.259112i | −0.726481 | − | 0.687186i | \(-0.758846\pi\) |
0.323295 | + | 0.946298i | \(0.395209\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −3.88757 | + | 3.05722i | −0.154517 | + | 0.121513i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 5.24402 | + | 15.1516i | 0.208102 | + | 0.601273i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.25162 | − | 7.59806i | −0.208077 | − | 0.301046i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 14.1469 | − | 2.72660i | 0.559644 | − | 0.107863i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 19.6829 | − | 27.6407i | 0.777427 | − | 1.09174i | −0.215901 | − | 0.976415i | \(-0.569269\pi\) |
0.993327 | − | 0.115328i | \(-0.0367918\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −23.3294 | −0.920021 | −0.460011 | − | 0.887913i | \(-0.652154\pi\) | ||||
−0.460011 | + | 0.887913i | \(0.652154\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −15.5101 | −0.610708 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 16.0670 | − | 22.5629i | 0.631659 | − | 0.887041i | −0.367416 | − | 0.930057i | \(-0.619757\pi\) |
0.999074 | + | 0.0430163i | \(0.0136967\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.62684 | − | 0.699017i | 0.142366 | − | 0.0274388i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 7.93380 | + | 27.7377i | 0.310950 | + | 1.08713i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 10.7688 | + | 31.1145i | 0.421418 | + | 1.21761i | 0.933471 | + | 0.358653i | \(0.116764\pi\) |
−0.512053 | + | 0.858954i | \(0.671115\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 26.1335 | − | 20.5516i | 1.02112 | − | 0.803018i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −2.56455 | + | 1.64814i | −0.100053 | + | 0.0643000i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 3.49641 | − | 7.65608i | 0.136201 | − | 0.298238i | −0.829225 | − | 0.558914i | \(-0.811218\pi\) |
0.965426 | + | 0.260676i | \(0.0839454\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −20.6241 | − | 19.6650i | −0.802184 | − | 0.764881i | 0.173319 | − | 0.984866i | \(-0.444551\pi\) |
−0.975503 | + | 0.219985i | \(0.929399\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.281023 | − | 0.267955i | 0.0109140 | − | 0.0104065i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 16.8656 | + | 90.9317i | 0.654019 | + | 3.52618i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 28.2792 | − | 32.7232i | 1.09498 | − | 1.26705i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −27.1601 | + | 10.8733i | −1.05007 | + | 0.420384i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −5.54276 | − | 1.62750i | −0.213976 | − | 0.0628290i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 24.2961 | − | 7.13399i | 0.936548 | − | 0.274995i | 0.222372 | − | 0.974962i | \(-0.428620\pi\) |
0.714175 | + | 0.699967i | \(0.246802\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 67.4581 | − | 6.44147i | 2.59647 | − | 0.247932i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −0.516723 | − | 10.8474i | −0.0198593 | − | 0.416898i | −0.986805 | − | 0.161915i | \(-0.948233\pi\) |
0.966945 | − | 0.254983i | \(-0.0820699\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −45.3011 | − | 2.47628i | −1.73850 | − | 0.0950309i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.90751 | + | 5.51138i | 0.0730959 | + | 0.211197i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 0.857266 | − | 17.9962i | 0.0328024 | − | 0.688607i | −0.921251 | − | 0.388969i | \(-0.872831\pi\) |
0.954053 | − | 0.299638i | \(-0.0968658\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 37.7146 | + | 43.5249i | 1.44100 | + | 1.66300i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 9.27848 | + | 20.3170i | 0.353996 | + | 0.775143i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −4.66500 | − | 8.08001i | −0.177722 | − | 0.307824i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.678474 | + | 1.17515i | −0.0258104 | + | 0.0447049i | −0.878642 | − | 0.477481i | \(-0.841550\pi\) |
0.852832 | + | 0.522186i | \(0.174883\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −1.99615 | + | 0.469471i | −0.0758273 | + | 0.0178337i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 42.2086 | − | 8.13504i | 1.60106 | − | 0.308580i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.0464870 | + | 0.975881i | −0.00176082 | + | 0.0369641i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 7.47384 | − | 8.62527i | 0.282687 | − | 0.326238i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.72100 | − | 18.9250i | −0.102771 | − | 0.714787i | −0.974433 | − | 0.224679i | \(-0.927867\pi\) |
0.871662 | − | 0.490108i | \(-0.163043\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 25.6522 | + | 13.2246i | 0.967492 | + | 0.498777i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −6.86952 | − | 9.64690i | −0.258721 | − | 0.363323i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −20.7392 | + | 14.5504i | −0.779979 | + | 0.547223i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −12.9466 | + | 12.3445i | −0.486219 | + | 0.463609i | −0.893091 | − | 0.449876i | \(-0.851468\pi\) |
0.406872 | + | 0.913485i | \(0.366620\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 1.40566 | − | 0.562740i | 0.0527162 | − | 0.0211044i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 34.9236 | − | 27.5389i | 1.30790 | − | 1.03134i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.376225 | + | 2.61670i | −0.0140700 | + | 0.0978591i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −4.95613 | − | 20.4294i | −0.185090 | − | 0.762951i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 5.83686 | − | 24.0599i | 0.217678 | − | 0.897282i | −0.753216 | − | 0.657773i | \(-0.771499\pi\) |
0.970894 | − | 0.239508i | \(-0.0769863\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −25.7422 | + | 11.5387i | −0.958690 | + | 0.429724i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −0.101800 | − | 2.13704i | −0.00378598 | − | 0.0794775i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −88.4771 | + | 69.5792i | −3.28596 | + | 2.58411i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 17.0729 | − | 19.7032i | 0.633200 | − | 0.730752i | −0.344957 | − | 0.938619i | \(-0.612106\pi\) |
0.978157 | + | 0.207866i | \(0.0666519\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 18.1955 | + | 11.6935i | 0.673906 | + | 0.433093i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.258249 | − | 0.746162i | 0.00955168 | − | 0.0275978i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −36.2171 | − | 3.45832i | −1.33771 | − | 0.127736i | −0.598452 | − | 0.801159i | \(-0.704217\pi\) |
−0.739258 | + | 0.673423i | \(0.764823\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −31.7660 | − | 13.2367i | −1.17170 | − | 0.488245i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −2.79414 | + | 4.83959i | −0.102923 | + | 0.178269i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 3.84585 | − | 5.40074i | 0.141472 | − | 0.198670i | −0.737761 | − | 0.675063i | \(-0.764117\pi\) |
0.879232 | + | 0.476393i | \(0.158056\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 8.49410 | + | 9.80271i | 0.312039 | + | 0.360112i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 6.27045 | + | 4.02977i | 0.230041 | + | 0.147838i | 0.650584 | − | 0.759434i | \(-0.274524\pi\) |
−0.420543 | + | 0.907272i | \(0.638161\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 45.6873 | + | 8.80550i | 1.67385 | + | 0.322609i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −3.22205 | − | 1.28991i | −0.117888 | − | 0.0471954i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 29.3540 | + | 4.43067i | 1.07257 | + | 0.161893i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −10.6010 | − | 14.8870i | −0.386835 | − | 0.543233i | 0.574540 | − | 0.818477i | \(-0.305181\pi\) |
−0.961375 | + | 0.275243i | \(0.911242\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 9.99307 | + | 9.52838i | 0.364168 | + | 0.347233i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −71.1094 | − | 20.8796i | −2.58794 | − | 0.759886i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.806408 | − | 5.60869i | 0.0293094 | − | 0.203851i | −0.969905 | − | 0.243484i | \(-0.921710\pi\) |
0.999214 | + | 0.0396327i | \(0.0126188\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.57032 | − | 2.19906i | −0.0569991 | − | 0.0798209i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −26.3254 | − | 20.7025i | −0.954294 | − | 0.750465i | 0.0140972 | − | 0.999901i | \(-0.495513\pi\) |
−0.968391 | + | 0.249435i | \(0.919755\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −14.9332 | + | 0.606492i | −0.540617 | + | 0.0219565i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.399025 | + | 1.64480i | −0.0144268 | + | 0.0594680i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −10.1245 | + | 0.966769i | −0.365573 | + | 0.0349080i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −35.2920 | + | 22.6808i | −1.27266 | + | 0.817889i | −0.989964 | − | 0.141320i | \(-0.954865\pi\) |
−0.282697 | + | 0.959209i | \(0.591229\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −3.11938 | − | 21.6958i | −0.112342 | − | 0.781355i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 33.0908 | + | 6.37773i | 1.19019 | + | 0.229391i | 0.745632 | − | 0.666358i | \(-0.232148\pi\) |
0.444561 | + | 0.895749i | \(0.353360\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −102.882 | + | 53.0391i | −3.69562 | + | 1.90522i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −9.33783 | + | 5.30429i | −0.334993 | + | 0.190290i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −32.4881 | − | 3.10223i | −1.16401 | − | 0.111149i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.13419 | + | 3.69653i | 0.0763674 | + | 0.132272i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −48.9622 | −1.74977 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −33.5207 | − | 73.4002i | −1.19641 | − | 2.61976i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1.31627 | + | 3.80312i | −0.0469201 | + | 0.135567i | −0.966027 | − | 0.258442i | \(-0.916791\pi\) |
0.919107 | + | 0.394009i | \(0.128912\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 28.2164 | − | 14.5466i | 1.00453 | − | 0.517872i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 9.56195 | + | 12.3360i | 0.339984 | + | 0.438616i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 14.7672 | + | 5.91190i | 0.524399 | + | 0.209938i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −30.8981 | − | 15.9291i | −1.09584 | − | 0.564946i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 3.43410 | − | 7.51962i | 0.121642 | − | 0.266359i | −0.839009 | − | 0.544118i | \(-0.816864\pi\) |
0.960651 | + | 0.277759i | \(0.0895917\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.578476 | − | 0.169856i | 0.0204650 | − | 0.00600907i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.65317 | + | 6.81448i | 0.0584120 | + | 0.240778i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −0.709933 | − | 0.558298i | −0.0250530 | − | 0.0197019i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.301792 | + | 53.0510i | −0.0106368 | + | 1.86980i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 20.6678 | + | 16.2534i | 0.727542 | + | 0.572145i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 8.35965 | + | 34.4589i | 0.293910 | + | 1.21151i | 0.906874 | + | 0.421401i | \(0.138462\pi\) |
−0.612965 | + | 0.790110i | \(0.710023\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 36.5455 | − | 10.7307i | 1.28329 | − | 0.376807i | 0.432174 | − | 0.901790i | \(-0.357747\pi\) |
0.851112 | + | 0.524984i | \(0.175929\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 9.83883 | − | 21.5440i | 0.345063 | − | 0.755583i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 21.4163 | + | 11.0409i | 0.750181 | + | 0.386745i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 24.4865 | + | 9.80291i | 0.856673 | + | 0.342960i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 5.59450 | − | 0.764388i | 0.195488 | − | 0.0267099i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 27.0841 | − | 13.9628i | 0.945240 | − | 0.487305i | 0.0845414 | − | 0.996420i | \(-0.473057\pi\) |
0.860699 | + | 0.509115i | \(0.170027\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.22090 | − | 9.30618i | 0.112273 | − | 0.324393i | −0.874841 | − | 0.484411i | \(-0.839034\pi\) |
0.987114 | + | 0.160018i | \(0.0511552\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.92142 | + | 6.39702i | 0.101711 | + | 0.222716i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −20.3258 | −0.706798 | −0.353399 | − | 0.935473i | \(-0.614974\pi\) | ||||
−0.353399 | + | 0.935473i | \(0.614974\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −6.17562 | − | 10.6965i | −0.214488 | − | 0.371504i | 0.738626 | − | 0.674115i | \(-0.235475\pi\) |
−0.953114 | + | 0.302611i | \(0.902142\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.83026 | − | 0.174769i | −0.0634910 | − | 0.00606266i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 1.16571 | − | 1.30781i | 0.0403896 | − | 0.0453128i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 9.13669 | − | 4.71029i | 0.316188 | − | 0.163006i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −49.4400 | − | 9.52877i | −1.70890 | − | 0.329363i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −4.75231 | − | 33.0531i | −0.164068 | − | 1.14112i | −0.890866 | − | 0.454267i | \(-0.849901\pi\) |
0.726797 | − | 0.686852i | \(-0.241008\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 44.0203 | − | 28.2901i | 1.51794 | − | 0.975521i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 37.0645 | − | 3.53923i | 1.27657 | − | 0.121898i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −11.0983 | + | 45.7476i | −0.381792 | + | 1.57377i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 15.2376 | + | 24.0795i | 0.523569 | + | 0.827382i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −10.1333 | − | 7.96889i | −0.347773 | − | 0.273491i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 13.0271 | + | 10.2168i | 0.446562 | + | 0.350227i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.45465 | + | 30.9827i | −0.152524 | + | 1.06083i | 0.759445 | + | 0.650571i | \(0.225470\pi\) |
−0.911970 | + | 0.410258i | \(0.865439\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −54.2474 | − | 15.9285i | −1.85522 | − | 0.544743i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −29.5018 | − | 28.1299i | −1.00776 | − | 0.960898i | −0.00852400 | − | 0.999964i | \(-0.502713\pi\) |
−0.999237 | + | 0.0390658i | \(0.987562\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5.63624 | + | 7.91499i | 0.192306 | + | 0.270056i | 0.899460 | − | 0.437004i | \(-0.143960\pi\) |
−0.707154 | + | 0.707060i | \(0.750021\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 7.57367 | − | 9.49302i | 0.258110 | − | 0.323521i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −24.4329 | − | 9.78144i | −0.831704 | − | 0.332964i | −0.0835618 | − | 0.996503i | \(-0.526630\pi\) |
−0.748142 | + | 0.663539i | \(0.769054\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 69.2278 | + | 13.3426i | 2.35381 | + | 0.453661i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −16.7539 | − | 10.7671i | −0.568992 | − | 0.365669i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.293757 | + | 0.339014i | 0.00996504 | + | 0.0115003i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 8.92571 | − | 12.5344i | 0.302436 | − | 0.424712i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 13.8677 | − | 24.0195i | 0.469350 | − | 0.812938i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 16.2314 | − | 81.1520i | 0.548723 | − | 2.74344i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 20.8778 | + | 1.99359i | 0.704994 | + | 0.0673188i | 0.441394 | − | 0.897313i | \(-0.354484\pi\) |
0.263600 | + | 0.964632i | \(0.415090\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −8.08006 | + | 23.3458i | −0.272534 | + | 0.787434i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −31.1124 | − | 19.9947i | −1.04820 | − | 0.673638i | −0.101200 | − | 0.994866i | \(-0.532268\pi\) |
−0.947002 | + | 0.321228i | \(0.895905\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −12.2654 | + | 14.1550i | −0.412762 | + | 0.476353i | −0.923618 | − | 0.383313i | \(-0.874783\pi\) |
0.510856 | + | 0.859666i | \(0.329328\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −29.7868 | + | 23.4246i | −1.00127 | + | 0.787409i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −1.35291 | − | 28.4012i | −0.0454264 | − | 0.953618i | −0.900431 | − | 0.434998i | \(-0.856749\pi\) |
0.855005 | − | 0.518620i | \(-0.173554\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 8.22310 | + | 5.94293i | 0.275794 | + | 0.199320i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.173031 | + | 0.713242i | −0.00579674 | + | 0.0238945i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 4.74807 | + | 19.5718i | 0.158888 | + | 0.654946i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.35087 | + | 16.3507i | −0.0785810 | + | 0.546543i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 3.72881 | + | 6.43885i | 0.124501 | + | 0.214987i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 77.6411 | − | 31.0828i | 2.58948 | − | 1.03667i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.28079 | − | 1.22123i | 0.0426691 | − | 0.0406849i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −8.03448 | + | 5.63688i | −0.267371 | + | 0.187584i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −1.44783 | − | 2.03319i | −0.0481274 | − | 0.0675855i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 20.2090 | + | 10.4184i | 0.671027 | + | 0.345939i | 0.759840 | − | 0.650110i | \(-0.225277\pi\) |
−0.0888129 | + | 0.996048i | \(0.528307\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −2.20413 | − | 15.3301i | −0.0731064 | − | 0.508466i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −11.1348 | + | 12.8503i | −0.368914 | + | 0.425749i | −0.909606 | − | 0.415471i | \(-0.863617\pi\) |
0.540693 | + | 0.841220i | \(0.318162\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.0489254 | − | 1.02707i | 0.00161920 | − | 0.0339911i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 58.1952 | − | 11.2162i | 1.92387 | − | 0.370796i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 6.06845 | − | 20.1439i | 0.200398 | − | 0.665210i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −10.2718 | + | 17.7913i | −0.338836 | + | 0.586880i | −0.984214 | − | 0.176983i | \(-0.943366\pi\) |
0.645378 | + | 0.763863i | \(0.276700\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −6.60711 | − | 11.4439i | −0.217712 | − | 0.377088i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −4.88247 | − | 10.6911i | −0.160709 | − | 0.351903i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −28.2157 | − | 32.5627i | −0.927727 | − | 1.07065i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.820582 | − | 17.2261i | 0.0269515 | − | 0.565781i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 12.1647 | + | 35.1477i | 0.399112 | + | 1.15316i | 0.948277 | + | 0.317445i | \(0.102825\pi\) |
−0.549165 | + | 0.835714i | \(0.685054\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 41.7844 | + | 40.9747i | 1.36943 | + | 1.34289i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −0.977160 | − | 20.5131i | −0.0319908 | − | 0.671569i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.499163 | + | 0.0476643i | −0.0163244 | + | 0.00155879i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −26.2554 | + | 7.70928i | −0.857726 | + | 0.251851i | −0.680887 | − | 0.732389i | \(-0.738405\pi\) |
−0.176839 | + | 0.984240i | \(0.556587\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −19.0111 | − | 5.58215i | −0.620403 | − | 0.182167i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −8.40286 | + | 3.36400i | −0.273925 | + | 0.109663i | −0.504558 | − | 0.863378i | \(-0.668345\pi\) |
0.230633 | + | 0.973041i | \(0.425920\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −17.9699 | − | 5.25068i | −0.585179 | − | 0.170986i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 45.6643 | − | 39.0114i | 1.48546 | − | 1.26904i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −0.932462 | + | 0.889101i | −0.0303010 | + | 0.0288919i | −0.705078 | − | 0.709129i | \(-0.749088\pi\) |
0.674777 | + | 0.738021i | \(0.264240\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.79986 | + | 1.71616i | 0.0584260 | + | 0.0557090i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 11.7290 | − | 25.6830i | 0.380340 | − | 0.832828i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 6.66673 | − | 4.28444i | 0.215956 | − | 0.138787i | −0.428191 | − | 0.903688i | \(-0.640849\pi\) |
0.644147 | + | 0.764902i | \(0.277212\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 16.7579 | − | 13.1785i | 0.542271 | − | 0.426447i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −1.66190 | − | 4.80176i | −0.0537217 | − | 0.155219i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 35.3553 | + | 8.83991i | 1.14168 | + | 0.285456i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 54.0081 | − | 10.4092i | 1.74220 | − | 0.335781i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −10.5271 | + | 14.7832i | −0.339230 | + | 0.476382i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 8.59062 | 0.276542 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 58.3749 | 1.87721 | 0.938605 | − | 0.344994i | \(-0.112119\pi\) | ||||
0.938605 | + | 0.344994i | \(0.112119\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −1.42710 | + | 2.00408i | −0.0458451 | + | 0.0643804i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 32.8238 | − | 6.32627i | 1.05337 | − | 0.203020i | 0.366959 | − | 0.930237i | \(-0.380399\pi\) |
0.686407 | + | 0.727218i | \(0.259187\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 18.9082 | − | 19.5541i | 0.606170 | − | 0.626877i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −6.33351 | − | 18.2995i | −0.202835 | − | 0.586053i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 4.01705 | − | 3.15904i | 0.128517 | − | 0.101067i | −0.551832 | − | 0.833956i | \(-0.686071\pi\) |
0.680348 | + | 0.732889i | \(0.261828\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.74767 | + | 1.12316i | −0.0558556 | + | 0.0358962i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 3.79551 | − | 8.31100i | 0.121181 | − | 0.265350i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 16.5013 | + | 15.7340i | 0.526310 | + | 0.501835i | 0.906000 | − | 0.423279i | \(-0.139121\pi\) |
−0.379690 | + | 0.925114i | \(0.623969\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 35.2085 | − | 33.5713i | 1.12184 | − | 1.06967i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −7.06455 | − | 2.50064i | −0.224867 | − | 0.0795963i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 12.7392 | + | 8.16324i | 0.405082 | + | 0.259576i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 12.8105 | − | 5.12855i | 0.406939 | − | 0.162914i | −0.159157 | − | 0.987253i | \(-0.550878\pi\) |
0.566095 | + | 0.824340i | \(0.308453\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 21.9658 | + | 6.44974i | 0.697064 | + | 0.204676i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 35.0907 | − | 10.3036i | 1.11245 | − | 0.326645i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 15.6317 | − | 1.49264i | 0.495060 | − | 0.0472725i | 0.155459 | − | 0.987842i | \(-0.450314\pi\) |
0.339600 | + | 0.940570i | \(0.389708\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.891797 | − | 18.7211i | −0.0282152 | − | 0.592310i |
(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 | 644.2.y.a.261.12 | yes | 320 | |
7.4 | even | 3 | inner | 644.2.y.a.445.5 | yes | 320 | |
23.3 | even | 11 | inner | 644.2.y.a.233.5 | ✓ | 320 | |
161.95 | even | 33 | inner | 644.2.y.a.417.12 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
644.2.y.a.233.5 | ✓ | 320 | 23.3 | even | 11 | inner | |
644.2.y.a.261.12 | yes | 320 | 1.1 | even | 1 | trivial | |
644.2.y.a.417.12 | yes | 320 | 161.95 | even | 33 | inner | |
644.2.y.a.445.5 | yes | 320 | 7.4 | even | 3 | inner |