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 | 33.7 | ||
Character | \(\chi\) | \(=\) | 280.33 |
Dual form | 280.2.bo.a.17.7 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 | ||||||||
\(3\) | 0.120281 | + | 0.0322291i | 0.0694440 | + | 0.0186075i | 0.293374 | − | 0.955998i | \(-0.405222\pi\) |
−0.223930 | + | 0.974605i | \(0.571889\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.04377 | − | 0.907205i | −0.914000 | − | 0.405715i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.46167 | − | 0.969635i | −0.930423 | − | 0.366488i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.58465 | − | 1.49225i | −0.861549 | − | 0.497416i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.40939 | − | 2.44113i | −0.424946 | − | 0.736028i | 0.571469 | − | 0.820623i | \(-0.306374\pi\) |
−0.996415 | + | 0.0845951i | \(0.973040\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.28569 | − | 3.28569i | 0.911285 | − | 0.911285i | −0.0850882 | − | 0.996373i | \(-0.527117\pi\) |
0.996373 | + | 0.0850882i | \(0.0271172\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.216587 | − | 0.174988i | −0.0559225 | − | 0.0451817i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.477081 | − | 1.78049i | 0.115709 | − | 0.431832i | −0.883630 | − | 0.468186i | \(-0.844908\pi\) |
0.999339 | + | 0.0363538i | \(0.0115743\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.01634 | + | 6.95650i | −0.921411 | + | 1.59593i | −0.124176 | + | 0.992260i | \(0.539629\pi\) |
−0.797235 | + | 0.603670i | \(0.793705\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.264840 | − | 0.195966i | −0.0577929 | − | 0.0427632i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.30451 | − | 0.617491i | 0.480523 | − | 0.128756i | −0.0104232 | − | 0.999946i | \(-0.503318\pi\) |
0.490946 | + | 0.871190i | \(0.336651\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.35396 | + | 3.70823i | 0.670791 | + | 0.741646i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.526943 | − | 0.526943i | −0.101410 | − | 0.101410i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 8.63838i | − | 1.60411i | −0.597252 | − | 0.802053i | \(-0.703741\pi\) | ||
0.597252 | − | 0.802053i | \(-0.296259\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.81202 | + | 1.62352i | −0.505054 | + | 0.291593i | −0.730798 | − | 0.682593i | \(-0.760852\pi\) |
0.225744 | + | 0.974187i | \(0.427519\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.0908465 | − | 0.339044i | −0.0158143 | − | 0.0590199i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 4.15141 | + | 4.21495i | 0.701717 | + | 0.712456i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.87374 | − | 6.99289i | −0.308041 | − | 1.14962i | −0.930296 | − | 0.366809i | \(-0.880450\pi\) |
0.622255 | − | 0.782814i | \(-0.286217\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.501099 | − | 0.289309i | 0.0802400 | − | 0.0463266i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 9.45620i | 1.47681i | 0.674357 | + | 0.738405i | \(0.264421\pi\) | ||||
−0.674357 | + | 0.738405i | \(0.735579\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.04150 | + | 1.04150i | 0.158828 | + | 0.158828i | 0.782047 | − | 0.623219i | \(-0.214176\pi\) |
−0.623219 | + | 0.782047i | \(0.714176\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.92864 | + | 5.39461i | 0.585647 | + | 0.804181i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −3.76695 | + | 1.00935i | −0.549465 | + | 0.147229i | −0.522862 | − | 0.852417i | \(-0.675136\pi\) |
−0.0266033 | + | 0.999646i | \(0.508469\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.11961 | + | 4.77384i | 0.731373 | + | 0.681977i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.114767 | − | 0.198782i | 0.0160706 | − | 0.0278351i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.75344 | − | 6.54391i | 0.240853 | − | 0.898875i | −0.734570 | − | 0.678533i | \(-0.762616\pi\) |
0.975423 | − | 0.220342i | \(-0.0707173\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.665850 | + | 6.26770i | 0.0897832 | + | 0.845137i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.707288 | + | 0.707288i | −0.0936826 | + | 0.0936826i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −6.19733 | − | 10.7341i | −0.806823 | − | 1.39746i | −0.915053 | − | 0.403333i | \(-0.867852\pi\) |
0.108230 | − | 0.994126i | \(-0.465482\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.19428 | + | 1.26687i | 0.280949 | + | 0.162206i | 0.633853 | − | 0.773454i | \(-0.281473\pi\) |
−0.352904 | + | 0.935659i | \(0.614806\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 4.91561 | + | 6.17958i | 0.619308 | + | 0.778554i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −9.69596 | + | 3.73438i | −1.20264 | + | 0.463193i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 13.8668 | + | 3.71560i | 1.69410 | + | 0.453932i | 0.971442 | − | 0.237276i | \(-0.0762545\pi\) |
0.722656 | + | 0.691208i | \(0.242921\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.297088 | 0.0357652 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.72856 | 0.323820 | 0.161910 | − | 0.986805i | \(-0.448235\pi\) | ||||
0.161910 | + | 0.986805i | \(0.448235\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.90198 | + | 1.04553i | 0.456692 | + | 0.122370i | 0.479829 | − | 0.877362i | \(-0.340699\pi\) |
−0.0231369 | + | 0.999732i | \(0.507365\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.283903 | + | 0.554123i | 0.0327823 | + | 0.0639846i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.10244 | + | 7.37584i | 0.125634 | + | 0.840555i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.52096 | − | 3.18753i | −0.621156 | − | 0.358625i | 0.156163 | − | 0.987731i | \(-0.450088\pi\) |
−0.777319 | + | 0.629107i | \(0.783421\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.43034 | + | 7.67358i | 0.492260 | + | 0.852620i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 7.41399 | − | 7.41399i | 0.813791 | − | 0.813791i | −0.171409 | − | 0.985200i | \(-0.554832\pi\) |
0.985200 | + | 0.171409i | \(0.0548319\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.59031 | + | 3.20609i | −0.280959 | + | 0.347750i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.278407 | − | 1.03903i | 0.0298484 | − | 0.111396i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.487628 | + | 0.844596i | −0.0516885 | + | 0.0895270i | −0.890712 | − | 0.454568i | \(-0.849794\pi\) |
0.839024 | + | 0.544095i | \(0.183127\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −11.2742 | + | 4.90235i | −1.18186 | + | 0.513906i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.390556 | + | 0.104649i | −0.0404988 | + | 0.0108516i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 14.5194 | − | 10.5738i | 1.48966 | − | 1.08485i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.12422 | − | 5.12422i | −0.520286 | − | 0.520286i | 0.397372 | − | 0.917658i | \(-0.369922\pi\) |
−0.917658 | + | 0.397372i | \(0.869922\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 8.41261i | 0.845499i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.00307 | − | 2.88852i | 0.497824 | − | 0.287419i | −0.229990 | − | 0.973193i | \(-0.573869\pi\) |
0.727815 | + | 0.685774i | \(0.240536\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.26130 | + | 4.70723i | 0.124279 | + | 0.463817i | 0.999813 | − | 0.0193403i | \(-0.00615660\pi\) |
−0.875534 | + | 0.483157i | \(0.839490\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.363490 | + | 0.640772i | 0.0354730 | + | 0.0625329i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.35059 | − | 16.2366i | −0.420588 | − | 1.56965i | −0.773374 | − | 0.633950i | \(-0.781432\pi\) |
0.352786 | − | 0.935704i | \(-0.385234\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.04799 | + | 4.64651i | −0.770858 | + | 0.445055i | −0.833181 | − | 0.553001i | \(-0.813483\pi\) |
0.0623227 | + | 0.998056i | \(0.480149\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 0.901497i | − | 0.0855663i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.21788 | − | 5.21788i | −0.490857 | − | 0.490857i | 0.417719 | − | 0.908576i | \(-0.362830\pi\) |
−0.908576 | + | 0.417719i | \(0.862830\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.27006 | − | 0.828655i | −0.491436 | − | 0.0772725i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −13.3954 | + | 3.58928i | −1.23840 | + | 0.331829i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2.90084 | + | 3.92038i | −0.265920 | + | 0.359381i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.52726 | − | 2.64529i | 0.138842 | − | 0.240481i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.304764 | + | 1.13740i | −0.0274797 | + | 0.102556i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −3.49057 | − | 10.6215i | −0.312206 | − | 0.950014i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.88798 | − | 7.88798i | 0.699945 | − | 0.699945i | −0.264453 | − | 0.964398i | \(-0.585192\pi\) |
0.964398 | + | 0.264453i | \(0.0851916\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.0917057 | + | 0.158839i | 0.00807424 | + | 0.0139850i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.59922 | − | 2.65536i | −0.401836 | − | 0.232000i | 0.285440 | − | 0.958397i | \(-0.407860\pi\) |
−0.687276 | + | 0.726397i | \(0.741194\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 16.6321 | − | 13.2302i | 1.44219 | − | 1.14720i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.598903 | + | 1.55499i | 0.0515454 | + | 0.133833i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −6.16614 | − | 1.65221i | −0.526809 | − | 0.141158i | −0.0143944 | − | 0.999896i | \(-0.504582\pi\) |
−0.512414 | + | 0.858738i | \(0.671249\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.995838 | −0.0844659 | −0.0422329 | − | 0.999108i | \(-0.513447\pi\) | ||||
−0.0422329 | + | 0.999108i | \(0.513447\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.485621 | −0.0408966 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −12.6516 | − | 3.38998i | −1.05798 | − | 0.283485i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.83678 | + | 17.6548i | −0.650810 | + | 1.46615i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.461933 | + | 0.739200i | 0.0380996 | + | 0.0609682i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.96121 | − | 1.70965i | −0.242592 | − | 0.140060i | 0.373776 | − | 0.927519i | \(-0.378063\pi\) |
−0.616367 | + | 0.787459i | \(0.711396\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.79492 | − | 16.9653i | −0.797099 | − | 1.38062i | −0.921498 | − | 0.388383i | \(-0.873034\pi\) |
0.124399 | − | 0.992232i | \(-0.460300\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −3.89002 | + | 3.89002i | −0.314489 | + | 0.314489i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 7.21999 | − | 0.767017i | 0.579923 | − | 0.0616083i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.22966 | + | 4.58914i | −0.0981373 | + | 0.366253i | −0.997476 | − | 0.0709984i | \(-0.977381\pi\) |
0.899339 | + | 0.437252i | \(0.144048\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.421808 | − | 0.730593i | 0.0334516 | − | 0.0579398i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −6.27167 | − | 0.714474i | −0.494277 | − | 0.0563085i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.31013 | − | 0.351047i | 0.102617 | − | 0.0274961i | −0.207145 | − | 0.978310i | \(-0.566417\pi\) |
0.309762 | + | 0.950814i | \(0.399751\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.121913 | + | 0.775342i | −0.00949094 | + | 0.0603603i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 4.39184 | + | 4.39184i | 0.339851 | + | 0.339851i | 0.856311 | − | 0.516460i | \(-0.172751\pi\) |
−0.516460 | + | 0.856311i | \(0.672751\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 8.59146i | − | 0.660881i | ||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 20.7616 | − | 11.9867i | 1.58768 | − | 0.916648i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.46814 | − | 9.21122i | −0.187649 | − | 0.700316i | −0.994048 | − | 0.108944i | \(-0.965253\pi\) |
0.806399 | − | 0.591372i | \(-0.201414\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.66069 | − | 12.3805i | −0.352315 | − | 0.935881i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.399468 | − | 1.49084i | −0.0300259 | − | 0.112058i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 11.4852 | − | 6.63101i | 0.858447 | − | 0.495625i | −0.00504471 | − | 0.999987i | \(-0.501606\pi\) |
0.863492 | + | 0.504362i | \(0.168272\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.8465i | 0.806214i | 0.915153 | + | 0.403107i | \(0.132070\pi\) | ||||
−0.915153 | + | 0.403107i | \(0.867930\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.223099 | + | 0.223099i | 0.0164920 | + | 0.0164920i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.51450 | + | 15.9917i | −0.184870 | + | 1.17573i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.01880 | + | 1.34478i | −0.367011 | + | 0.0983403i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.786216 | + | 1.80810i | 0.0571888 | + | 0.131520i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −1.52564 | + | 2.64249i | −0.110392 | + | 0.191204i | −0.915928 | − | 0.401342i | \(-0.868544\pi\) |
0.805537 | + | 0.592546i | \(0.201877\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.09586 | + | 22.7501i | −0.438790 | + | 1.63759i | 0.293042 | + | 0.956100i | \(0.405333\pi\) |
−0.731831 | + | 0.681486i | \(0.761334\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.28659 | + | 0.136681i | −0.0921347 | + | 0.00978795i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.84909 | − | 1.84909i | 0.131743 | − | 0.131743i | −0.638161 | − | 0.769903i | \(-0.720304\pi\) |
0.769903 | + | 0.638161i | \(0.220304\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.310311 | + | 0.537475i | 0.0219974 | + | 0.0381006i | 0.876815 | − | 0.480829i | \(-0.159664\pi\) |
−0.854817 | + | 0.518929i | \(0.826331\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.54815 | + | 0.893828i | 0.109198 | + | 0.0630457i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −8.37608 | + | 21.2648i | −0.587885 | + | 1.49250i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.57871 | − | 19.3263i | 0.599163 | − | 1.34980i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −6.87779 | − | 1.84290i | −0.478039 | − | 0.128090i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 22.6423 | 1.56620 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.7502 | −0.946601 | −0.473301 | − | 0.880901i | \(-0.656938\pi\) | ||||
−0.473301 | + | 0.880901i | \(0.656938\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.328193 | + | 0.0879389i | 0.0224874 | + | 0.00602548i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.18373 | − | 3.07344i | −0.0807297 | − | 0.209607i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 8.49649 | − | 1.26994i | 0.576780 | − | 0.0862088i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.435636 | + | 0.251514i | 0.0294375 | + | 0.0169958i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.28259 | − | 7.41767i | −0.288078 | − | 0.498966i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.443239 | − | 0.443239i | 0.0296815 | − | 0.0296815i | −0.692110 | − | 0.721792i | \(-0.743319\pi\) |
0.721792 | + | 0.692110i | \(0.243319\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.13520 | − | 14.5894i | −0.209013 | − | 0.972627i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −5.54585 | + | 20.6974i | −0.368091 | + | 1.37373i | 0.495092 | + | 0.868841i | \(0.335135\pi\) |
−0.863182 | + | 0.504892i | \(0.831532\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.71101 | − | 6.42766i | 0.245230 | − | 0.424752i | −0.716966 | − | 0.697108i | \(-0.754470\pi\) |
0.962196 | + | 0.272357i | \(0.0878030\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.105115 | + | 0.922701i | −0.00691605 | + | 0.0607092i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −5.25237 | + | 1.40737i | −0.344094 | + | 0.0921997i | −0.426727 | − | 0.904380i | \(-0.640334\pi\) |
0.0826334 | + | 0.996580i | \(0.473667\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.61444 | + | 1.35452i | 0.561944 | + | 0.0883591i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.561333 | − | 0.561333i | −0.0364625 | − | 0.0364625i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 10.0507i | 0.650124i | 0.945693 | + | 0.325062i | \(0.105385\pi\) | ||||
−0.945693 | + | 0.325062i | \(0.894615\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 17.9706 | − | 10.3753i | 1.15759 | − | 0.668333i | 0.206862 | − | 0.978370i | \(-0.433675\pi\) |
0.950725 | + | 0.310037i | \(0.100341\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.864196 | + | 3.22522i | 0.0554382 | + | 0.206898i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −6.13244 | − | 14.4012i | −0.391787 | − | 0.920056i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 9.66045 | + | 36.0533i | 0.614679 | + | 2.29401i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.13070 | − | 0.652813i | 0.0716555 | − | 0.0413703i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.0396287i | 0.00250134i | 0.999999 | + | 0.00125067i | \(0.000398101\pi\) | ||||
−0.999999 | + | 0.00125067i | \(0.999602\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.75532 | − | 4.75532i | −0.298964 | − | 0.298964i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.414894 | + | 0.302147i | −0.0259816 | + | 0.0189212i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 16.4339 | − | 4.40345i | 1.02512 | − | 0.274679i | 0.293184 | − | 0.956056i | \(-0.405285\pi\) |
0.731933 | + | 0.681376i | \(0.238618\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.16803 | + | 19.0310i | −0.134715 | + | 1.18253i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −12.8906 | + | 22.3272i | −0.797908 | + | 1.38202i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.89339 | + | 7.06624i | −0.116752 | + | 0.435723i | −0.999412 | − | 0.0342884i | \(-0.989084\pi\) |
0.882660 | + | 0.470011i | \(0.155750\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.52028 | + | 11.7835i | −0.584826 | + | 0.723854i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.0858727 | + | 0.0858727i | −0.00525532 | + | 0.00525532i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −3.24863 | − | 5.62679i | −0.198072 | − | 0.343071i | 0.749831 | − | 0.661629i | \(-0.230135\pi\) |
−0.947903 | + | 0.318558i | \(0.896801\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 18.0071 | + | 10.3964i | 1.09385 | + | 0.631537i | 0.934600 | − | 0.355701i | \(-0.115758\pi\) |
0.159254 | + | 0.987238i | \(0.449091\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −1.51406 | + | 0.226301i | −0.0916352 | + | 0.0136963i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 4.32525 | − | 13.4138i | 0.260822 | − | 0.808881i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 26.6010 | + | 7.12770i | 1.59830 | + | 0.428262i | 0.944528 | − | 0.328432i | \(-0.106520\pi\) |
0.653769 | + | 0.756694i | \(0.273187\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 9.69079 | 0.580172 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 23.0686 | 1.37616 | 0.688080 | − | 0.725635i | \(-0.258454\pi\) | ||||
0.688080 | + | 0.725635i | \(0.258454\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −26.9506 | − | 7.22139i | −1.60205 | − | 0.429267i | −0.656387 | − | 0.754424i | \(-0.727916\pi\) |
−0.945660 | + | 0.325157i | \(0.894583\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.08719 | − | 0.803876i | 0.123634 | − | 0.0476175i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 9.16906 | − | 23.2780i | 0.541233 | − | 1.37406i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 11.7799 | + | 6.80112i | 0.692935 | + | 0.400066i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.451195 | − | 0.781492i | −0.0264495 | − | 0.0458119i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −7.37797 | + | 7.37797i | −0.431025 | + | 0.431025i | −0.888977 | − | 0.457952i | \(-0.848583\pi\) |
0.457952 | + | 0.888977i | \(0.348583\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.92786 | + | 27.5602i | 0.170467 | + | 1.60462i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.543670 | + | 2.02900i | −0.0315469 | + | 0.117735i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 5.54300 | − | 9.60076i | 0.320560 | − | 0.555227i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.55395 | − | 3.57371i | −0.0895684 | − | 0.205985i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0.694867 | − | 0.186189i | 0.0399190 | − | 0.0106963i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −3.33528 | − | 4.57984i | −0.190978 | − | 0.262241i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.95205 | + | 4.95205i | 0.282628 | + | 0.282628i | 0.834156 | − | 0.551528i | \(-0.185955\pi\) |
−0.551528 | + | 0.834156i | \(0.685955\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.606838i | 0.0345218i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.08514 | + | 4.66796i | −0.458466 | + | 0.264696i | −0.711399 | − | 0.702788i | \(-0.751938\pi\) |
0.252933 | + | 0.967484i | \(0.418605\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.12415 | − | 19.1236i | −0.289634 | − | 1.08093i | −0.945386 | − | 0.325953i | \(-0.894315\pi\) |
0.655752 | − | 0.754976i | \(-0.272352\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −4.44020 | − | 17.0891i | −0.250177 | − | 0.962861i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 4.37369 | + | 16.3228i | 0.245651 | + | 0.916782i | 0.973055 | + | 0.230573i | \(0.0740600\pi\) |
−0.727404 | + | 0.686209i | \(0.759273\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −21.0874 | + | 12.1748i | −1.18067 | + | 0.681659i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 2.09317i | − | 0.116829i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 10.4699 | + | 10.4699i | 0.582559 | + | 0.582559i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 23.2041 | + | 1.16403i | 1.28713 | + | 0.0645690i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −1.11777 | + | 0.299505i | −0.0618128 | + | 0.0165627i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 10.2517 | + | 1.16788i | 0.565193 | + | 0.0643873i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.97088 | − | 8.60981i | 0.273224 | − | 0.473238i | −0.696461 | − | 0.717594i | \(-0.745243\pi\) |
0.969686 | + | 0.244356i | \(0.0785766\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −5.59216 | + | 20.8702i | −0.306449 | + | 1.14368i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −24.9697 | − | 20.1738i | −1.36424 | − | 1.10221i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.4904 | + | 17.4904i | −0.952762 | + | 0.952762i | −0.998934 | − | 0.0461714i | \(-0.985298\pi\) |
0.0461714 | + | 0.998934i | \(0.485298\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.459442 | − | 0.795777i | −0.0249535 | − | 0.0432207i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 7.92646 | + | 4.57634i | 0.429242 | + | 0.247823i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −7.97390 | − | 16.7158i | −0.430550 | − | 0.902567i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.607179 | − | 0.269520i | −0.0326894 | − | 0.0145105i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −3.55893 | − | 0.953611i | −0.191053 | − | 0.0511925i | 0.162024 | − | 0.986787i | \(-0.448198\pi\) |
−0.353077 | + | 0.935594i | \(0.614865\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.25235 | 0.0670367 | 0.0335183 | − | 0.999438i | \(-0.489329\pi\) | ||||
0.0335183 | + | 0.999438i | \(0.489329\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.46274 | −0.184827 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −22.5220 | − | 6.03475i | −1.19872 | − | 0.321197i | −0.396396 | − | 0.918080i | \(-0.629739\pi\) |
−0.802329 | + | 0.596882i | \(0.796406\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.57654 | − | 2.47536i | −0.295972 | − | 0.131379i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.475265 | + | 0.378054i | −0.0251537 | + | 0.0200087i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 24.7688 | + | 14.3003i | 1.30725 | + | 0.754741i | 0.981636 | − | 0.190762i | \(-0.0610958\pi\) |
0.325614 | + | 0.945503i | \(0.394429\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −22.7619 | − | 39.4248i | −1.19799 | − | 2.07499i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.268954 | − | 0.268954i | 0.0141164 | − | 0.0141164i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −7.02622 | − | 5.67672i | −0.367769 | − | 0.297133i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.76258 | − | 14.0422i | 0.196405 | − | 0.732995i | −0.795493 | − | 0.605962i | \(-0.792788\pi\) |
0.991899 | − | 0.127032i | \(-0.0405452\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 14.1110 | − | 24.4409i | 0.734588 | − | 1.27234i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −10.6616 | + | 14.4087i | −0.553522 | + | 0.748064i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.58716 | + | 0.425279i | −0.0821802 | + | 0.0220201i | −0.299675 | − | 0.954041i | \(-0.596878\pi\) |
0.217495 | + | 0.976062i | \(0.430212\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.0775275 | − | 1.39006i | −0.00400350 | − | 0.0717822i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −28.3830 | − | 28.3830i | −1.46180 | − | 1.46180i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 11.7601i | − | 0.604077i | −0.953296 | − | 0.302038i | \(-0.902333\pi\) | ||
0.953296 | − | 0.302038i | \(-0.0976671\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.20299 | − | 0.694548i | 0.0616312 | − | 0.0355828i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 3.70668 | + | 13.8335i | 0.189402 | + | 0.706859i | 0.993645 | + | 0.112558i | \(0.0359045\pi\) |
−0.804243 | + | 0.594301i | \(0.797429\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.43828 | − | 16.0746i | 0.226196 | − | 0.819239i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −1.13774 | − | 4.24609i | −0.0578344 | − | 0.215841i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −28.7560 | + | 16.6023i | −1.45799 | + | 0.841768i | −0.998912 | − | 0.0466300i | \(-0.985152\pi\) |
−0.459073 | + | 0.888398i | \(0.651818\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 4.39774i | − | 0.222404i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.467617 | − | 0.467617i | −0.0235881 | − | 0.0235881i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 8.39180 | + | 11.5232i | 0.422237 | + | 0.579795i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 31.4212 | − | 8.41928i | 1.57698 | − | 0.422552i | 0.638993 | − | 0.769212i | \(-0.279351\pi\) |
0.937991 | + | 0.346661i | \(0.112684\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.42692 | − | 1.05530i | 0.121498 | − | 0.0528309i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.03475 | − | 8.72044i | 0.251423 | − | 0.435478i | −0.712495 | − | 0.701678i | \(-0.752435\pi\) |
0.963918 | + | 0.266200i | \(0.0857680\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.90504 | + | 14.5738i | −0.194524 | + | 0.725973i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −2.09307 | − | 19.7022i | −0.104005 | − | 0.979012i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −14.4297 | + | 14.4297i | −0.715255 | + | 0.715255i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 11.4380 | + | 19.8113i | 0.565575 | + | 0.979605i | 0.996996 | + | 0.0774540i | \(0.0246791\pi\) |
−0.431421 | + | 0.902151i | \(0.641988\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.688417 | − | 0.397458i | −0.0339571 | − | 0.0196051i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 4.84761 | + | 32.4329i | 0.238535 | + | 1.59592i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −21.8785 | + | 8.42645i | −1.07397 | + | 0.413638i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.119780 | − | 0.0320949i | −0.00586565 | − | 0.00157170i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −3.51110 | −0.171529 | −0.0857643 | − | 0.996315i | \(-0.527333\pi\) | ||||
−0.0857643 | + | 0.996315i | \(0.527333\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.852753 | −0.0415606 | −0.0207803 | − | 0.999784i | \(-0.506615\pi\) | ||||
−0.0207803 | + | 0.999784i | \(0.506615\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 11.2424 | + | 3.01240i | 0.546625 | + | 0.146468i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 8.20258 | − | 4.20256i | 0.397883 | − | 0.203854i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.17318 | − | 5.24626i | −0.201955 | − | 0.253884i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.41248 | − | 0.815498i | −0.0681953 | − | 0.0393726i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.4142 | − | 24.9661i | −0.694306 | − | 1.20257i | −0.970414 | − | 0.241447i | \(-0.922378\pi\) |
0.276108 | − | 0.961127i | \(-0.410955\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.3865 | − | 12.3865i | 0.595257 | − | 0.595257i | −0.343789 | − | 0.939047i | \(-0.611711\pi\) |
0.939047 | + | 0.343789i | \(0.111711\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.51161 | + | 1.87096i | −0.0724762 | + | 0.0897056i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −4.96010 | + | 18.5113i | −0.237274 | + | 0.885518i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 17.7310 | − | 30.7110i | 0.846256 | − | 1.46576i | −0.0382703 | − | 0.999267i | \(-0.512185\pi\) |
0.884526 | − | 0.466491i | \(-0.154482\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.10865 | − | 19.9784i | −0.290888 | − | 0.951353i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 24.3705 | − | 6.53005i | 1.15788 | − | 0.310252i | 0.371759 | − | 0.928329i | \(-0.378755\pi\) |
0.786118 | + | 0.618077i | \(0.212088\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.76282 | − | 1.28378i | 0.0835657 | − | 0.0608569i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.301075 | − | 0.301075i | −0.0142404 | − | 0.0142404i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 26.2571i | 1.23915i | 0.784937 | + | 0.619575i | \(0.212695\pi\) | ||||
−0.784937 | + | 0.619575i | \(0.787305\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 23.0838 | − | 13.3274i | 1.08697 | − | 0.627565i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.631362 | − | 2.35627i | −0.0296640 | − | 0.110707i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 27.4892 | + | 0.208749i | 1.28871 | + | 0.00978629i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.69818 | − | 10.0697i | −0.126215 | − | 0.471042i | 0.873665 | − | 0.486528i | \(-0.161737\pi\) |
−0.999880 | + | 0.0154864i | \(0.995070\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.18961 | + | 0.686823i | −0.0555263 | + | 0.0320582i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 29.1465i | 1.35749i | 0.734374 | + | 0.678745i | \(0.237476\pi\) | ||||
−0.734374 | + | 0.678745i | \(0.762524\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −23.7580 | − | 23.7580i | −1.10413 | − | 1.10413i | −0.993907 | − | 0.110219i | \(-0.964845\pi\) |
−0.110219 | − | 0.993907i | \(-0.535155\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.893144 | + | 0.140436i | 0.0414186 | + | 0.00651258i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −26.3185 | + | 7.05201i | −1.21787 | + | 0.326328i | −0.809846 | − | 0.586642i | \(-0.800450\pi\) |
−0.408026 | + | 0.912970i | \(0.633783\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −30.5327 | − | 22.5923i | −1.40987 | − | 1.04322i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.295808 | + | 0.512354i | −0.0136301 | + | 0.0236080i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 1.07456 | − | 4.01032i | 0.0494084 | − | 0.184395i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −39.2669 | + | 8.43829i | −1.80169 | + | 0.387175i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −14.2971 | + | 14.2971i | −0.654621 | + | 0.654621i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −15.5080 | − | 26.8607i | −0.708580 | − | 1.22730i | −0.965384 | − | 0.260834i | \(-0.916003\pi\) |
0.256803 | − | 0.966464i | \(-0.417331\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −29.1330 | − | 16.8199i | −1.32835 | − | 0.766922i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.731333 | − | 0.288067i | −0.0332768 | − | 0.0131075i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 5.82398 | + | 15.1214i | 0.264453 | + | 0.686628i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.63160 | − | 0.437185i | −0.0739347 | − | 0.0198107i | 0.221662 | − | 0.975124i | \(-0.428852\pi\) |
−0.295597 | + | 0.955313i | \(0.595518\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.168897 | 0.00763777 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 21.4431 | 0.967712 | 0.483856 | − | 0.875148i | \(-0.339236\pi\) | ||||
0.483856 | + | 0.875148i | \(0.339236\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −15.3806 | − | 4.12121i | −0.692705 | − | 0.185610i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 7.63197 | − | 17.1934i | 0.343032 | − | 0.772786i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −6.71681 | − | 2.64571i | −0.301290 | − | 0.118676i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 21.1074 | + | 12.1864i | 0.944898 | + | 0.545537i | 0.891492 | − | 0.453036i | \(-0.149659\pi\) |
0.0534054 | + | 0.998573i | \(0.482992\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.386708 | + | 0.669798i | 0.0172768 | + | 0.0299244i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 11.7774 | − | 11.7774i | 0.525127 | − | 0.525127i | −0.393989 | − | 0.919115i | \(-0.628905\pi\) |
0.919115 | + | 0.393989i | \(0.128905\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.8456 | + | 1.36465i | −0.571621 | + | 0.0607263i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.276895 | − | 1.03339i | 0.0122973 | − | 0.0458942i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −14.7893 | + | 25.6158i | −0.655523 | + | 1.13540i | 0.326240 | + | 0.945287i | \(0.394218\pi\) |
−0.981763 | + | 0.190111i | \(0.939115\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −8.59159 | − | 6.35725i | −0.380070 | − | 0.281228i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 5.78206 | − | 1.54930i | 0.255284 | − | 0.0684032i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.69263 | − | 10.7647i | 0.0745860 | − | 0.474351i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 7.77304 | + | 7.77304i | 0.341858 | + | 0.341858i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 1.18748i | − | 0.0521244i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 2.80920 | − | 1.62189i | 0.123073 | − | 0.0710564i | −0.437200 | − | 0.899365i | \(-0.644030\pi\) |
0.560273 | + | 0.828308i | \(0.310696\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −9.09811 | − | 33.9546i | −0.397833 | − | 1.48473i | −0.816901 | − | 0.576777i | \(-0.804310\pi\) |
0.419069 | − | 0.907955i | \(-0.362357\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.161577 | − | 1.63935i | −0.00705181 | − | 0.0715470i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.54910 | + | 5.78133i | 0.0674800 | + | 0.251839i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −14.9891 | + | 8.65398i | −0.651701 | + | 0.376260i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 36.9918i | 1.60531i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 31.0701 | + | 31.0701i | 1.34580 | + | 1.34580i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.83837 | + | 37.1307i | −0.252415 | + | 1.60530i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.59516 | − | 0.427422i | 0.0688363 | − | 0.0184446i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 4.43805 | − | 19.2258i | 0.191160 | − | 0.828115i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.68424 | + | 11.5774i | −0.287378 | + | 0.497753i | −0.973183 | − | 0.230032i | \(-0.926117\pi\) |
0.685805 | + | 0.727785i | \(0.259450\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.349573 | + | 1.30462i | −0.0150016 | + | 0.0559867i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 20.6635 | − | 2.19520i | 0.885129 | − | 0.0940319i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 27.7636 | − | 27.7636i | 1.18708 | − | 1.18708i | 0.209215 | − | 0.977870i | \(-0.432909\pi\) |
0.977870 | − | 0.209215i | \(-0.0670910\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −3.78096 | − | 6.54881i | −0.161367 | − | 0.279496i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 60.0929 | + | 34.6946i | 2.56004 | + | 1.47804i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 10.5000 | + | 13.1999i | 0.446506 | + | 0.561319i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.817843 | + | 1.84245i | −0.0347155 | + | 0.0782076i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −5.47809 | − | 1.46785i | −0.232114 | − | 0.0621948i | 0.140887 | − | 0.990026i | \(-0.455005\pi\) |
−0.373001 | + | 0.927831i | \(0.621671\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.84409 | 0.289474 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.647005 | −0.0273166 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 8.17372 | + | 2.19014i | 0.344481 | + | 0.0923034i | 0.426912 | − | 0.904293i | \(-0.359602\pi\) |
−0.0824304 | + | 0.996597i | \(0.526268\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.93044 | + | 15.3978i | 0.249495 | + | 0.647791i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −3.46546 | − | 23.1856i | −0.145536 | − | 0.973704i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 33.6387 | + | 19.4213i | 1.41021 | + | 0.814183i | 0.995407 | − | 0.0957306i | \(-0.0305187\pi\) |
0.414798 | + | 0.909913i | \(0.363852\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 15.7235 | + | 27.2339i | 0.658007 | + | 1.13970i | 0.981131 | + | 0.193345i | \(0.0619337\pi\) |
−0.323124 | + | 0.946357i | \(0.604733\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −0.268670 | + | 0.268670i | −0.0112238 | + | 0.0112238i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 10.0190 | + | 6.47461i | 0.417822 | + | 0.270010i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.15216 | − | 8.03197i | 0.0895956 | − | 0.334375i | −0.906549 | − | 0.422100i | \(-0.861293\pi\) |
0.996145 | + | 0.0877249i | \(0.0279597\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.46643 | + | 2.53993i | −0.0609426 | + | 0.105556i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −25.4396 | + | 11.0619i | −1.05541 | + | 0.458925i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −18.4458 | + | 4.94254i | −0.763947 | + | 0.204699i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 30.6333 | + | 4.81672i | 1.26653 | + | 0.199147i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 18.1577 | + | 18.1577i | 0.749448 | + | 0.749448i | 0.974376 | − | 0.224927i | \(-0.0722145\pi\) |
−0.224927 | + | 0.974376i | \(0.572214\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 26.0824i | − | 1.07471i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.282005 | − | 0.162815i | 0.0116001 | − | 0.00669733i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 3.50935 | + | 13.0971i | 0.144112 | + | 0.537833i | 0.999793 | + | 0.0203298i | \(0.00647163\pi\) |
−0.855682 | + | 0.517503i | \(0.826862\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 9.48523 | − | 5.38068i | 0.388857 | − | 0.220586i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0.0200021 | + | 0.0746488i | 0.000818631 | + | 0.00305517i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −19.0934 | + | 11.0236i | −0.780136 | + | 0.450412i | −0.836478 | − | 0.548000i | \(-0.815389\pi\) |
0.0563425 | + | 0.998411i | \(0.482056\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.82954i | 0.360165i | 0.983652 | + | 0.180082i | \(0.0576364\pi\) | ||||
−0.983652 | + | 0.180082i | \(0.942364\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −30.2962 | − | 30.2962i | −1.23376 | − | 1.23376i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.52117 | + | 4.02081i | −0.224468 | + | 0.163469i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 30.4048 | − | 8.14693i | 1.23409 | − | 0.330674i | 0.417920 | − | 0.908484i | \(-0.362759\pi\) |
0.816171 | + | 0.577810i | \(0.196092\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −1.69282 | + | 2.28779i | −0.0685967 | + | 0.0927059i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −9.06059 | + | 15.6934i | −0.366552 | + | 0.634887i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.273366 | − | 1.02021i | 0.0110411 | − | 0.0412061i | −0.960186 | − | 0.279363i | \(-0.909877\pi\) |
0.971227 | + | 0.238157i | \(0.0765433\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1.65472 | − | 2.04809i | 0.0667247 | − | 0.0825869i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.65940 | − | 8.65940i | 0.348614 | − | 0.348614i | −0.510979 | − | 0.859593i | \(-0.670717\pi\) |
0.859593 | + | 0.510979i | \(0.170717\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.65777 | − | 6.33544i | −0.147018 | − | 0.254643i | 0.783106 | − | 0.621888i | \(-0.213634\pi\) |
−0.930124 | + | 0.367245i | \(0.880301\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.53973 | − | 0.888962i | −0.0617871 | − | 0.0356728i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 2.01933 | − | 1.60629i | 0.0809027 | − | 0.0643548i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.50195 | + | 24.8745i | −0.100078 | + | 0.994980i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 2.72343 | + | 0.729740i | 0.108763 | + | 0.0291430i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −13.3447 | −0.532088 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.3631 | −0.930071 | −0.465035 | − | 0.885292i | \(-0.653958\pi\) | ||||
−0.465035 | + | 0.885292i | \(0.653958\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −1.65388 | − | 0.443155i | −0.0657358 | − | 0.0176138i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −23.2772 | + | 8.96516i | −0.923727 | + | 0.355772i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 32.5068 | − | 1.13611i | 1.28797 | − | 0.0450141i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −7.05236 | − | 4.07168i | −0.278987 | − | 0.161073i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −13.9662 | − | 24.1903i | −0.551634 | − | 0.955457i | −0.998157 | − | 0.0606855i | \(-0.980671\pi\) |
0.446523 | − | 0.894772i | \(-0.352662\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 30.5610 | − | 30.5610i | 1.20521 | − | 1.20521i | 0.232647 | − | 0.972561i | \(-0.425261\pi\) |
0.972561 | − | 0.232647i | \(-0.0747387\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.0433254 | − | 0.407826i | −0.00170594 | − | 0.0160581i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −10.9104 | + | 40.7181i | −0.428932 | + | 1.60079i | 0.326253 | + | 0.945282i | \(0.394214\pi\) |
−0.755185 | + | 0.655512i | \(0.772453\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −17.4689 | + | 30.2570i | −0.685713 | + | 1.18769i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.06289 | + | 0.121086i | 0.0416580 | + | 0.00474572i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 20.6017 | − | 5.52020i | 0.806205 | − | 0.216022i | 0.167898 | − | 0.985804i | \(-0.446302\pi\) |
0.638306 | + | 0.769782i | \(0.279635\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.99077 | + | 9.59937i | 0.273152 | + | 0.375078i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −8.52505 | − | 8.52505i | −0.332594 | − | 0.332594i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 5.48161i | 0.213533i | 0.994284 | + | 0.106767i | \(0.0340498\pi\) | ||||
−0.994284 | + | 0.106767i | \(0.965950\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.01484 | + | 2.31797i | −0.156159 | + | 0.0901585i | −0.576043 | − | 0.817419i | \(-0.695404\pi\) |
0.419884 | + | 0.907578i | \(0.362071\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.276048 | − | 1.03023i | −0.0107208 | − | 0.0400106i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −45.9947 | + | 11.9507i | −1.78360 | + | 0.463427i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.33412 | − | 19.9072i | −0.206538 | − | 0.770810i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.0675982 | − | 0.0390278i | 0.00261350 | − | 0.00150890i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 7.14202i | − | 0.275715i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 17.1639 | + | 17.1639i | 0.661620 | + | 0.661620i | 0.955762 | − | 0.294142i | \(-0.0950339\pi\) |
−0.294142 | + | 0.955762i | \(0.595034\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.186683 | − | 3.72137i | 0.00718542 | − | 0.143236i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 8.72528 | − | 2.33793i | 0.335340 | − | 0.0898540i | −0.0872200 | − | 0.996189i | \(-0.527798\pi\) |
0.422560 | + | 0.906335i | \(0.361132\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 7.64550 | + | 17.5827i | 0.293407 | + | 0.674764i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.33411 | + | 2.31075i | −0.0511234 | + | 0.0885483i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −6.53495 | + | 24.3888i | −0.250053 | + | 0.933211i | 0.720723 | + | 0.693223i | \(0.243810\pi\) |
−0.970776 | + | 0.239987i | \(0.922857\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11.1032 | + | 8.97069i | 0.424233 | + | 0.342752i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.653520 | − | 0.653520i | 0.0249333 | − | 0.0249333i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −15.7400 | − | 27.2625i | −0.599646 | − | 1.03862i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −19.9794 | − | 11.5351i | −0.760051 | − | 0.438815i | 0.0692633 | − | 0.997598i | \(-0.477935\pi\) |
−0.829314 | + | 0.558783i | \(0.811268\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 8.15717 | − | 20.7091i | 0.309865 | − | 0.786672i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 2.03526 | + | 0.903430i | 0.0772018 | + | 0.0342690i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 16.8367 | + | 4.51137i | 0.637734 | + | 0.170880i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −0.677116 | −0.0256109 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 24.4288 | 0.922662 | 0.461331 | − | 0.887228i | \(-0.347372\pi\) | ||||
0.461331 | + | 0.887228i | \(0.347372\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 56.1716 | + | 15.0511i | 2.11855 | + | 0.567664i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.992495 | + | 0.440558i | 0.0373795 | + | 0.0165924i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −15.1167 | + | 2.25943i | −0.568523 | + | 0.0849747i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −24.1321 | − | 13.9327i | −0.906298 | − | 0.523252i | −0.0270602 | − | 0.999634i | \(-0.508615\pi\) |
−0.879238 | + | 0.476382i | \(0.841948\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 9.51315 | + | 16.4773i | 0.356771 | + | 0.617946i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −5.47782 | + | 5.47782i | −0.205146 | + | 0.205146i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 22.7815 | + | 18.4059i | 0.851979 | + | 0.688342i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.323924 | + | 1.20890i | −0.0120972 | + | 0.0451472i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 16.7674 | − | 29.0420i | 0.625318 | − | 1.08308i | −0.363161 | − | 0.931726i | \(-0.618303\pi\) |
0.988479 | − | 0.151356i | \(-0.0483641\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.45940 | − | 12.8106i | 0.0543509 | − | 0.477093i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 2.49590 | − | 0.668774i | 0.0928234 | − | 0.0248720i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 32.0331 | − | 28.9727i | 1.18968 | − | 1.07602i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −27.1571 | − | 27.1571i | −1.00720 | − | 1.00720i | −0.999974 | − | 0.00722682i | \(-0.997700\pi\) |
−0.00722682 | − | 0.999974i | \(-0.502300\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 26.1663i | − | 0.969121i | ||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.35126 | − | 1.35750i | 0.0869647 | − | 0.0502091i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.67522 | − | 28.6443i | −0.283491 | − | 1.05800i | −0.949935 | − | 0.312447i | \(-0.898851\pi\) |
0.666445 | − | 0.745555i | \(-0.267815\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.273477 | − | 1.92982i | −0.0100874 | − | 0.0711825i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −10.4734 | − | 39.0873i | −0.385794 | − | 1.43980i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.47223 | + | 2.00470i | −0.127728 | + | 0.0737439i | −0.562503 | − | 0.826795i | \(-0.690161\pi\) |
0.434775 | + | 0.900539i | \(0.356828\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4.64785i | 0.170743i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 0.177216 | + | 0.177216i | 0.00650141 | + | 0.00650141i | 0.710350 | − | 0.703849i | \(-0.248537\pi\) |
−0.703849 | + | 0.710350i | \(0.748537\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.50101 | + | 6.18056i | 0.164904 | + | 0.226438i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −30.2261 | + | 8.09905i | −1.10591 | + | 0.296329i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −5.03390 | + | 44.1877i | −0.183935 | + | 1.61458i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −19.7200 | + | 34.1561i | −0.719594 | + | 1.24637i | 0.241567 | + | 0.970384i | \(0.422339\pi\) |
−0.961161 | + | 0.275989i | \(0.910995\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −0.00127720 | + | 0.00476656i | −4.65436e−5 | + | 0.000173703i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 4.62751 | + | 43.5591i | 0.168412 | + | 1.58528i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −24.2463 | + | 24.2463i | −0.881247 | + | 0.881247i | −0.993661 | − | 0.112414i | \(-0.964142\pi\) |
0.112414 | + | 0.993661i | \(0.464142\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.418713 | − | 0.725231i | −0.0151983 | − | 0.0263242i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 17.9497 | + | 10.3633i | 0.650678 | + | 0.375669i | 0.788716 | − | 0.614758i | \(-0.210746\pi\) |
−0.138038 | + | 0.990427i | \(0.544080\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 24.3169 | − | 3.63455i | 0.880331 | − | 0.131579i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 11.4793 | − | 4.42124i | 0.415036 | − | 0.159850i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −55.6313 | − | 14.9064i | −2.00873 | − | 0.538237i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 17.6819 | 0.637626 | 0.318813 | − | 0.947818i | \(-0.396716\pi\) | ||||
0.318813 | + | 0.947818i | \(0.396716\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.11860 | 0.0762993 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −25.5524 | − | 6.84675i | −0.919057 | − | 0.246261i | −0.231875 | − | 0.972746i | \(-0.574486\pi\) |
−0.687182 | + | 0.726485i | \(0.741153\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −15.4518 | − | 4.98241i | −0.555045 | − | 0.178973i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.874124 | + | 2.21919i | −0.0313590 | + | 0.0796129i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −65.7820 | − | 37.9793i | −2.35689 | − | 1.36075i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.84560 | − | 6.66077i | −0.137606 | − | 0.238341i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −4.55194 | + | 4.55194i | −0.162673 | + | 0.162673i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 6.67643 | − | 8.26358i | 0.238292 | − | 0.294940i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −4.60079 | + | 17.1704i | −0.164001 | + | 0.612059i | 0.834165 | + | 0.551515i | \(0.185950\pi\) |
−0.998166 | + | 0.0605435i | \(0.980717\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.455477 | + | 0.788909i | −0.0162154 | + | 0.0280859i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 7.78525 | + | 17.9041i | 0.276811 | + | 0.636598i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 11.3722 | − | 3.04718i | 0.403840 | − | 0.108209i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −1.52488 | + | 1.11049i | −0.0540818 | + | 0.0393852i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −21.2435 | − | 21.2435i | −0.752485 | − | 0.752485i | 0.222457 | − | 0.974942i | \(-0.428592\pi\) |
−0.974942 | + | 0.222457i | \(0.928592\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.18855i | 0.254313i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 2.52069 | − | 1.45532i | 0.0890643 | − | 0.0514213i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −2.94712 | − | 10.9988i | −0.104002 | − | 0.388139i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 12.1696 | + | 7.14991i | 0.428924 | + | 0.252001i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.209400 | − | 0.781493i | −0.00737125 | − | 0.0275099i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 36.5682 | − | 21.1126i | 1.28567 | − | 0.742281i | 0.307790 | − | 0.951454i | \(-0.400411\pi\) |
0.977879 | + | 0.209173i | \(0.0670773\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 30.9818i | − | 1.08792i | −0.839112 | − | 0.543959i | \(-0.816925\pi\) | ||
0.839112 | − | 0.543959i | \(-0.183075\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.83084 | + | 1.83084i | 0.0642103 | + | 0.0642103i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −2.99606 | − | 0.471095i | −0.104947 | − | 0.0165017i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −11.4282 | + | 3.06218i | −0.399823 | + | 0.107132i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 36.4553 | + | 4.15302i | 1.27385 | + | 0.145118i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 18.4155 | − | 31.8965i | 0.642704 | − | 1.11320i | −0.342122 | − | 0.939655i | \(-0.611146\pi\) |
0.984827 | − | 0.173541i | \(-0.0555209\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.31758 | − | 34.7737i | 0.324791 | − | 1.21213i | −0.589732 | − | 0.807599i | \(-0.700767\pi\) |
0.914522 | − | 0.404535i | \(-0.132567\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.952557 | − | 1.47402i | 0.0331638 | − | 0.0513187i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 15.1281 | − | 15.1281i | 0.526056 | − | 0.526056i | −0.393338 | − | 0.919394i | \(-0.628680\pi\) |
0.919394 | + | 0.393338i | \(0.128680\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −24.7248 | − | 42.8245i | −0.858726 | − | 1.48736i | −0.873144 | − | 0.487462i | \(-0.837923\pi\) |
0.0144178 | − | 0.999896i | \(-0.495411\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 2.96986 | + | 1.71465i | 0.103023 | + | 0.0594805i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 10.9422 | − | 6.83792i | 0.379126 | − | 0.236920i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.99159 | − | 12.9602i | −0.172741 | − | 0.448506i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 2.33728 | + | 0.626273i | 0.0807883 | + | 0.0216472i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −20.4290 | −0.705286 | −0.352643 | − | 0.935758i | \(-0.614717\pi\) | ||||
−0.352643 | + | 0.935758i | \(0.614717\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −45.6216 | −1.57316 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 2.77471 | + | 0.743481i | 0.0955660 | + | 0.0256068i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −7.79422 | + | 17.5589i | −0.268129 | + | 0.604045i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −6.32456 | + | 5.03093i | −0.217315 | + | 0.172865i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −3.00889 | − | 1.73719i | −0.103265 | − | 0.0596201i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −8.63609 | − | 14.9581i | −0.296041 | − | 0.512759i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.07657 | − | 2.07657i | 0.0711005 | − | 0.0711005i | −0.670662 | − | 0.741763i | \(-0.733990\pi\) |
0.741763 | + | 0.670662i | \(0.233990\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −53.3063 | + | 5.66301i | −1.82304 | + | 0.193671i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 10.3110 | − | 38.4814i | 0.352219 | − | 1.31450i | −0.531730 | − | 0.846914i | \(-0.678458\pi\) |
0.883949 | − | 0.467584i | \(-0.154876\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −23.1562 | + | 40.1078i | −0.790081 | + | 1.36846i | 0.135836 | + | 0.990731i | \(0.456628\pi\) |
−0.925916 | + | 0.377728i | \(0.876705\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.85309 | − | 2.50438i | 0.0631531 | − | 0.0853491i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 25.7695 | − | 6.90492i | 0.877204 | − | 0.235046i | 0.208004 | − | 0.978128i | \(-0.433303\pi\) |
0.669201 | + | 0.743082i | \(0.266637\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.31217 | + | 21.0647i | −0.112617 | + | 0.716220i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 1.19770 | + | 1.19770i | 0.0406759 | + | 0.0406759i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 17.9698i | 0.609585i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 57.7702 | − | 33.3536i | 1.95747 | − | 1.13014i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 5.59770 | + | 20.8909i | 0.189453 | + | 0.707050i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.70633 | + | 29.5311i | −0.0576846 | + | 0.998335i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.21228 | + | 11.9884i | 0.108471 | + | 0.404819i | 0.998716 | − | 0.0506634i | \(-0.0161336\pi\) |
−0.890245 | + | 0.455482i | \(0.849467\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −1.12521 | + | 0.649641i | −0.0379524 | + | 0.0219118i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 4.12556i | 0.138994i | 0.997582 | + | 0.0694968i | \(0.0221394\pi\) | ||||
−0.997582 | + | 0.0694968i | \(0.977861\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 8.53349 | + | 8.53349i | 0.287175 | + | 0.287175i | 0.835962 | − | 0.548787i | \(-0.184910\pi\) |
−0.548787 | + | 0.835962i | \(0.684910\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.536075 | + | 3.40932i | −0.0180200 | + | 0.114603i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −28.2358 | + | 7.56575i | −0.948064 | + | 0.254033i | −0.699541 | − | 0.714593i | \(-0.746612\pi\) |
−0.248524 | + | 0.968626i | \(0.579945\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −27.0660 | + | 11.7691i | −0.907766 | + | 0.394724i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 12.4881 | − | 21.6301i | 0.418368 | − | 0.724635i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 8.10778 | − | 30.2586i | 0.271316 | − | 1.01257i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −29.4888 | + | 3.13275i | −0.985703 | + | 0.104716i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.976139 | − | 0.976139i | 0.0325923 | − | 0.0325923i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 14.0246 | + | 24.2913i | 0.467747 | + | 0.810161i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −10.8148 | − | 6.24395i | −0.360294 | − | 0.208016i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.0717331 | − | 0.479930i | −0.00238713 | − | 0.0159711i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 9.84000 | − | 22.1677i | 0.327093 | − | 0.736879i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 32.6219 | + | 8.74101i | 1.08319 | + | 0.290240i | 0.755903 | − | 0.654684i | \(-0.227198\pi\) |
0.327289 | + | 0.944924i | \(0.393865\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −17.2416 | −0.571867 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −48.6206 | −1.61087 | −0.805437 | − | 0.592682i | \(-0.798069\pi\) | ||||
−0.805437 | + | 0.592682i | \(0.798069\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −28.5477 | − | 7.64933i | −0.944791 | − | 0.253156i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −0.253565 | − | 0.658359i | −0.00838261 | − | 0.0217647i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 8.74701 | + | 10.9962i | 0.288852 | + | 0.363126i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −11.1514 | − | 6.43824i | −0.367849 | − | 0.212378i | 0.304669 | − | 0.952458i | \(-0.401454\pi\) |
−0.672518 | + | 0.740080i | \(0.734787\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.436035 | + | 0.755234i | 0.0143678 | + | 0.0248858i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 8.96519 | − | 8.96519i | 0.295093 | − | 0.295093i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 19.6468 | − | 30.4021i | 0.645983 | − | 0.999615i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 3.76434 | − | 14.0487i | 0.123637 | − | 0.461420i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 2.45072 | − | 4.24477i | 0.0804056 | − | 0.139267i | −0.823019 | − | 0.568014i | \(-0.807712\pi\) |
0.903424 | + | 0.428748i | \(0.141045\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −53.7713 | + | 16.4412i | −1.76228 | + | 0.538840i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −1.12293 | + | 0.300888i | −0.0367630 | + | 0.00985063i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 11.4772 | + | 1.80466i | 0.375346 | + | 0.0590187i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.98269 | + | 2.98269i | 0.0974401 | + | 0.0974401i | 0.754146 | − | 0.656706i | \(-0.228051\pi\) |
−0.656706 | + | 0.754146i | \(0.728051\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − | 2.46534i | − | 0.0804534i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −26.7673 | + | 15.4541i | −0.872589 | + | 0.503789i | −0.868208 | − | 0.496201i | \(-0.834728\pi\) |
−0.00438099 | + | 0.999990i | \(0.501395\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 5.83911 | + | 21.7919i | 0.190148 | + | 0.709641i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.0334782 | − | 4.40860i | 0.00108905 | − | 0.143412i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −9.86991 | − | 36.8350i | −0.320729 | − | 1.19698i | −0.918536 | − | 0.395337i | \(-0.870628\pi\) |
0.597808 | − | 0.801640i | \(-0.296039\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 16.2560 | − | 9.38539i | 0.527691 | − | 0.304663i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.10428i | 0.0682360i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 1.90574 | + | 1.90574i | 0.0617328 | + | 0.0617328i | 0.737299 | − | 0.675566i | \(-0.236101\pi\) |
−0.675566 | + | 0.737299i | \(0.736101\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.51533 | − | 4.01656i | 0.178472 | − | 0.129973i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −2.92879 | + | 0.784766i | −0.0946742 | + | 0.0253679i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 13.5769 | + | 10.0461i | 0.438422 | + | 0.324405i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −10.2283 | + | 17.7160i | −0.329947 | + | 0.571484i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −12.9843 | + | 48.4581i | −0.418414 | + | 1.56154i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 33.0975 | − | 40.9656i | 1.06545 | − | 1.31873i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 29.7649 | − | 29.7649i | 0.957175 | − | 0.957175i | −0.0419452 | − | 0.999120i | \(-0.513356\pi\) |
0.999120 | + | 0.0419452i | \(0.0133555\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.921886 | + | 1.59675i | 0.0296153 | + | 0.0512951i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −2.90731 | − | 1.67854i | −0.0933001 | − | 0.0538669i | 0.452624 | − | 0.891701i | \(-0.350488\pi\) |
−0.545924 | + | 0.837835i | \(0.683821\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 2.45142 | + | 0.965600i | 0.0785890 | + | 0.0309557i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 2.75349 | + | 0.887858i | 0.0881822 | + | 0.0284342i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 35.1564 | + | 9.42013i | 1.12475 | + | 0.301377i | 0.772805 | − | 0.634643i | \(-0.218853\pi\) |
0.351948 | + | 0.936020i | \(0.385519\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.74903 | 0.0878592 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 27.7350 | 0.885509 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −47.8111 | − | 12.8109i | −1.52494 | − | 0.408605i | −0.603573 | − | 0.797308i | \(-0.706257\pi\) |
−0.921363 | + | 0.388702i | \(0.872923\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.45662 | + | 2.10161i | −0.173863 | + | 0.0669628i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1.19544 | + | 0.470875i | 0.0380512 | + | 0.0149881i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 3.04326 | + | 1.75703i | 0.0967702 | + | 0.0558703i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.8876 | + | 37.9104i | 0.695282 | + | 1.20426i | 0.970086 | + | 0.242763i | \(0.0780537\pi\) |
−0.274804 | + | 0.961500i | \(0.588613\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0.875386 | − | 0.875386i | 0.0277795 | − | 0.0277795i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −0.146603 | − | 1.37999i | −0.00464764 | − | 0.0437486i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.0722 | − | 45.0542i | 0.382332 | − | 1.42688i | −0.459998 | − | 0.887920i | \(-0.652150\pi\) |
0.842330 | − | 0.538962i | \(-0.181183\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −2.69750 | + | 4.67221i | −0.0853452 | + | 0.147822i |
(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.33.7 | yes | 48 | |
4.3 | odd | 2 | 560.2.ci.e.33.6 | 48 | |||
5.2 | odd | 4 | inner | 280.2.bo.a.257.7 | yes | 48 | |
7.3 | odd | 6 | inner | 280.2.bo.a.73.7 | yes | 48 | |
20.7 | even | 4 | 560.2.ci.e.257.6 | 48 | |||
28.3 | even | 6 | 560.2.ci.e.353.6 | 48 | |||
35.17 | even | 12 | inner | 280.2.bo.a.17.7 | ✓ | 48 | |
140.87 | odd | 12 | 560.2.ci.e.17.6 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bo.a.17.7 | ✓ | 48 | 35.17 | even | 12 | inner | |
280.2.bo.a.33.7 | yes | 48 | 1.1 | even | 1 | trivial | |
280.2.bo.a.73.7 | yes | 48 | 7.3 | odd | 6 | inner | |
280.2.bo.a.257.7 | yes | 48 | 5.2 | odd | 4 | inner | |
560.2.ci.e.17.6 | 48 | 140.87 | odd | 12 | |||
560.2.ci.e.33.6 | 48 | 4.3 | odd | 2 | |||
560.2.ci.e.257.6 | 48 | 20.7 | even | 4 | |||
560.2.ci.e.353.6 | 48 | 28.3 | even | 6 |