Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [297,2,Mod(37,297)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(297, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("297.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 297 = 3^{3} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 297.n (of order \(15\), degree \(8\), not 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: | \(2.37155694003\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | no (minimal twist has level 99) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 91.6 | ||
Character | \(\chi\) | \(=\) | 297.91 |
Dual form | 297.2.n.b.235.6 |
$q$-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 \(\left(\mathbb{Z}/297\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(244\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.606887 | + | 0.270203i | 0.429134 | + | 0.191063i | 0.609926 | − | 0.792459i | \(-0.291199\pi\) |
−0.180792 | + | 0.983521i | \(0.557866\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.04296 | − | 1.15832i | −0.521480 | − | 0.579162i | ||||
\(5\) | −1.02009 | + | 0.454172i | −0.456196 | + | 0.203112i | −0.621952 | − | 0.783055i | \(-0.713660\pi\) |
0.165756 | + | 0.986167i | \(0.446994\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.81922 | − | 0.811800i | 1.44353 | − | 0.306832i | 0.581440 | − | 0.813589i | \(-0.302489\pi\) |
0.862089 | + | 0.506758i | \(0.169156\pi\) | |||||||
\(8\) | −0.730548 | − | 2.24840i | −0.258288 | − | 0.794928i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.741796 | −0.234576 | ||||||||
\(11\) | 2.09587 | − | 2.57048i | 0.631928 | − | 0.775027i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.279928 | − | 2.66333i | −0.0776380 | − | 0.738676i | −0.962217 | − | 0.272285i | \(-0.912221\pi\) |
0.884579 | − | 0.466391i | \(-0.154446\pi\) | |||||||
\(14\) | 2.53719 | + | 0.539295i | 0.678091 | + | 0.144133i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.161688 | + | 1.53836i | −0.0404221 | + | 0.384590i | ||||
\(17\) | 4.48727 | + | 3.26019i | 1.08832 | + | 0.790713i | 0.979115 | − | 0.203306i | \(-0.0651688\pi\) |
0.109207 | + | 0.994019i | \(0.465169\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.58598 | − | 4.88115i | −0.363849 | − | 1.11981i | −0.950699 | − | 0.310116i | \(-0.899632\pi\) |
0.586850 | − | 0.809696i | \(-0.300368\pi\) | |||||||
\(20\) | 1.58999 | + | 0.707907i | 0.355532 | + | 0.158293i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.96651 | − | 0.993678i | 0.419260 | − | 0.211853i | ||||
\(23\) | 1.05719 | − | 1.83110i | 0.220439 | − | 0.381812i | −0.734502 | − | 0.678606i | \(-0.762584\pi\) |
0.954941 | + | 0.296795i | \(0.0959176\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.51135 | + | 2.78914i | −0.502270 | + | 0.557827i | ||||
\(26\) | 0.549758 | − | 1.69198i | 0.107816 | − | 0.331825i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.92362 | − | 3.57722i | −0.930476 | − | 0.676030i | ||||
\(29\) | 1.05937 | − | 0.225177i | 0.196721 | − | 0.0418143i | −0.108497 | − | 0.994097i | \(-0.534604\pi\) |
0.305218 | + | 0.952282i | \(0.401271\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.0449642 | + | 0.427806i | 0.00807581 | + | 0.0768362i | 0.997817 | − | 0.0660323i | \(-0.0210340\pi\) |
−0.989742 | + | 0.142869i | \(0.954367\pi\) | |||||||
\(32\) | −2.87790 | + | 4.98467i | −0.508746 | + | 0.881173i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.84235 | + | 3.19104i | 0.315960 | + | 0.547259i | ||||
\(35\) | −3.52724 | + | 2.56269i | −0.596212 | + | 0.433173i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.69024 | + | 8.27970i | −0.442273 | + | 1.36118i | 0.443175 | + | 0.896435i | \(0.353852\pi\) |
−0.885447 | + | 0.464740i | \(0.846148\pi\) | |||||||
\(38\) | 0.356392 | − | 3.39084i | 0.0578144 | − | 0.550067i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.76638 | + | 1.96176i | 0.279289 | + | 0.310182i | ||||
\(41\) | −2.85529 | − | 0.606910i | −0.445921 | − | 0.0947834i | −0.0205221 | − | 0.999789i | \(-0.506533\pi\) |
−0.425399 | + | 0.905006i | \(0.639866\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.11628 | + | 1.93346i | 0.170232 | + | 0.294850i | 0.938501 | − | 0.345277i | \(-0.112215\pi\) |
−0.768269 | + | 0.640127i | \(0.778882\pi\) | |||||||
\(44\) | −5.16335 | + | 0.253209i | −0.778404 | + | 0.0381728i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.13637 | − | 0.825618i | 0.167548 | − | 0.121731i | ||||
\(47\) | −8.58861 | + | 9.53861i | −1.25278 | + | 1.39135i | −0.365044 | + | 0.930990i | \(0.618946\pi\) |
−0.887733 | + | 0.460359i | \(0.847721\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 7.53259 | − | 3.35373i | 1.07608 | − | 0.479104i | ||||
\(50\) | −2.27774 | + | 1.01411i | −0.322121 | + | 0.143418i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.79305 | + | 3.10200i | −0.387326 | + | 0.430169i | ||||
\(53\) | 4.56381 | − | 3.31581i | 0.626888 | − | 0.455461i | −0.228433 | − | 0.973560i | \(-0.573360\pi\) |
0.855321 | + | 0.518099i | \(0.173360\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.970527 | + | 3.57399i | −0.130866 | + | 0.481917i | ||||
\(56\) | −4.61537 | − | 7.99405i | −0.616755 | − | 1.06825i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.703764 | + | 0.149590i | 0.0924087 | + | 0.0196421i | ||||
\(59\) | 1.58943 | + | 1.76524i | 0.206927 | + | 0.229815i | 0.837671 | − | 0.546176i | \(-0.183917\pi\) |
−0.630744 | + | 0.775991i | \(0.717250\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.426942 | − | 4.06208i | 0.0546643 | − | 0.520096i | −0.932589 | − | 0.360940i | \(-0.882456\pi\) |
0.987253 | − | 0.159156i | \(-0.0508773\pi\) | |||||||
\(62\) | −0.0883065 | + | 0.271779i | −0.0112149 | + | 0.0345160i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.590604 | + | 0.429099i | −0.0738255 | + | 0.0536374i | ||||
\(65\) | 1.49516 | + | 2.58969i | 0.185452 | + | 0.321212i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.87584 | − | 8.44521i | 0.595679 | − | 1.03175i | −0.397772 | − | 0.917484i | \(-0.630216\pi\) |
0.993451 | − | 0.114262i | \(-0.0364503\pi\) | |||||||
\(68\) | −0.903682 | − | 8.59796i | −0.109587 | − | 1.04266i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.83308 | + | 0.602190i | −0.338618 | + | 0.0719754i | ||||
\(71\) | 5.11062 | + | 3.71308i | 0.606519 | + | 0.440662i | 0.848187 | − | 0.529697i | \(-0.177694\pi\) |
−0.241668 | + | 0.970359i | \(0.577694\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.60705 | + | 11.1014i | −0.422174 | + | 1.29932i | 0.483501 | + | 0.875344i | \(0.339365\pi\) |
−0.905675 | + | 0.423973i | \(0.860635\pi\) | |||||||
\(74\) | −3.86988 | + | 4.29793i | −0.449864 | + | 0.499625i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.99983 | + | 6.92792i | −0.458812 | + | 0.794686i | ||||
\(77\) | 5.91786 | − | 11.5186i | 0.674403 | − | 1.31267i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.12439 | + | 1.83630i | 0.464030 | + | 0.206600i | 0.625416 | − | 0.780292i | \(-0.284929\pi\) |
−0.161385 | + | 0.986891i | \(0.551596\pi\) | |||||||
\(80\) | −0.533744 | − | 1.64269i | −0.0596744 | − | 0.183659i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.56885 | − | 1.13983i | −0.173250 | − | 0.125874i | ||||
\(83\) | 0.0503831 | − | 0.479363i | 0.00553026 | − | 0.0526169i | −0.991409 | − | 0.130800i | \(-0.958245\pi\) |
0.996939 | + | 0.0781834i | \(0.0249120\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.05809 | − | 1.28769i | −0.657092 | − | 0.139669i | ||||
\(86\) | 0.155030 | + | 1.47502i | 0.0167174 | + | 0.159055i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −7.31058 | − | 2.83448i | −0.779310 | − | 0.302157i | ||||
\(89\) | −16.0830 | −1.70480 | −0.852399 | − | 0.522891i | \(-0.824853\pi\) | ||||
−0.852399 | + | 0.522891i | \(0.824853\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.23120 | − | 9.94461i | −0.338722 | − | 1.04248i | ||||
\(92\) | −3.22362 | + | 0.685201i | −0.336085 | + | 0.0714371i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −7.78968 | + | 3.46819i | −0.803444 | + | 0.357716i | ||||
\(95\) | 3.83471 | + | 4.25888i | 0.393433 | + | 0.436952i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.32266 | + | 3.26026i | 0.743504 | + | 0.331029i | 0.743289 | − | 0.668971i | \(-0.233265\pi\) |
0.000215058 | 1.00000i | \(0.499932\pi\) | ||||||||
\(98\) | 5.47762 | 0.553323 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.84996 | 0.584996 | ||||||||
\(101\) | −1.60904 | − | 0.716391i | −0.160106 | − | 0.0712836i | 0.325119 | − | 0.945673i | \(-0.394596\pi\) |
−0.485225 | + | 0.874389i | \(0.661262\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.79840 | + | 1.99732i | 0.177202 | + | 0.196802i | 0.825202 | − | 0.564838i | \(-0.191061\pi\) |
−0.648001 | + | 0.761640i | \(0.724395\pi\) | |||||||
\(104\) | −5.78373 | + | 2.57508i | −0.567141 | + | 0.252507i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.66566 | − | 0.779160i | 0.356041 | − | 0.0756787i | ||||
\(107\) | 3.17558 | + | 9.77342i | 0.306995 | + | 0.944833i | 0.978925 | + | 0.204219i | \(0.0654653\pi\) |
−0.671931 | + | 0.740614i | \(0.734535\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.36284 | 0.226319 | 0.113160 | − | 0.993577i | \(-0.463903\pi\) | ||||
0.113160 | + | 0.993577i | \(0.463903\pi\) | |||||||
\(110\) | −1.55470 | + | 1.90677i | −0.148235 | + | 0.181803i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.631319 | + | 6.00659i | 0.0596540 | + | 0.567570i | ||||
\(113\) | 1.49895 | + | 0.318611i | 0.141009 | + | 0.0299724i | 0.277875 | − | 0.960617i | \(-0.410370\pi\) |
−0.136866 | + | 0.990590i | \(0.543703\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.246788 | + | 2.34803i | −0.0230131 | + | 0.218955i | ||||
\(116\) | −1.36571 | − | 0.992247i | −0.126803 | − | 0.0921279i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.487631 | + | 1.50077i | 0.0448901 | + | 0.138157i | ||||
\(119\) | 19.7845 | + | 8.80862i | 1.81364 | + | 0.807485i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.21469 | − | 10.7747i | −0.201335 | − | 0.979522i | ||||
\(122\) | 1.35669 | − | 2.34986i | 0.122829 | − | 0.212746i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.448642 | − | 0.498267i | 0.0402892 | − | 0.0447457i | ||||
\(125\) | 3.02032 | − | 9.29560i | 0.270146 | − | 0.831424i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.19006 | + | 4.49734i | 0.549279 | + | 0.399074i | 0.827519 | − | 0.561437i | \(-0.189751\pi\) |
−0.278241 | + | 0.960511i | \(0.589751\pi\) | |||||||
\(128\) | 10.7857 | − | 2.29256i | 0.953328 | − | 0.202636i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.207649 | + | 1.97565i | 0.0182120 | + | 0.173276i | ||||
\(131\) | −2.67956 | + | 4.64113i | −0.234114 | + | 0.405498i | −0.959015 | − | 0.283356i | \(-0.908552\pi\) |
0.724901 | + | 0.688853i | \(0.241886\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −10.0197 | − | 17.3547i | −0.868820 | − | 1.50484i | ||||
\(134\) | 5.24101 | − | 3.80782i | 0.452754 | − | 0.328945i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.05203 | − | 12.4709i | 0.347459 | − | 1.06937i | ||||
\(137\) | 1.74889 | − | 16.6395i | 0.149417 | − | 1.42161i | −0.620869 | − | 0.783914i | \(-0.713220\pi\) |
0.770287 | − | 0.637698i | \(-0.220113\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.19393 | + | 10.2109i | 0.779819 | + | 0.866077i | 0.993848 | − | 0.110751i | \(-0.0353255\pi\) |
−0.214029 | + | 0.976827i | \(0.568659\pi\) | |||||||
\(140\) | 6.64718 | + | 1.41290i | 0.561790 | + | 0.119412i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.09828 | + | 3.63433i | 0.176084 | + | 0.304986i | ||||
\(143\) | −7.43273 | − | 4.86244i | −0.621556 | − | 0.406618i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.978384 | + | 0.710837i | −0.0812503 | + | 0.0590318i | ||||
\(146\) | −5.18870 | + | 5.76264i | −0.429420 | + | 0.476919i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 12.3964 | − | 5.51923i | 1.01898 | − | 0.453678i | ||||
\(149\) | −5.07900 | + | 2.26132i | −0.416088 | + | 0.185254i | −0.604093 | − | 0.796914i | \(-0.706464\pi\) |
0.188005 | + | 0.982168i | \(0.439798\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.109676 | + | 0.121807i | −0.00892527 | + | 0.00991252i | −0.747591 | − | 0.664159i | \(-0.768790\pi\) |
0.738666 | + | 0.674072i | \(0.235456\pi\) | |||||||
\(152\) | −9.81611 | + | 7.13182i | −0.796192 | + | 0.578467i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 6.70385 | − | 5.39148i | 0.540211 | − | 0.434458i | ||||
\(155\) | −0.240165 | − | 0.415978i | −0.0192905 | − | 0.0334121i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −23.3318 | − | 4.95932i | −1.86208 | − | 0.395797i | −0.867294 | − | 0.497797i | \(-0.834142\pi\) |
−0.994784 | + | 0.102000i | \(0.967476\pi\) | |||||||
\(158\) | 2.00687 | + | 2.22885i | 0.159658 | + | 0.177318i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.671811 | − | 6.39185i | 0.0531113 | − | 0.505320i | ||||
\(161\) | 2.55114 | − | 7.85161i | 0.201058 | − | 0.618794i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.39466 | − | 2.46636i | 0.265890 | − | 0.193180i | −0.446850 | − | 0.894609i | \(-0.647454\pi\) |
0.712740 | + | 0.701429i | \(0.247454\pi\) | |||||||
\(164\) | 2.27495 | + | 3.94033i | 0.177644 | + | 0.307688i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.160102 | − | 0.277306i | 0.0124264 | − | 0.0215231i | ||||
\(167\) | 1.65577 | + | 15.7536i | 0.128128 | + | 1.21905i | 0.849909 | + | 0.526930i | \(0.176657\pi\) |
−0.721781 | + | 0.692121i | \(0.756676\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.70093 | − | 1.21177i | 0.438533 | − | 0.0932131i | ||||
\(170\) | −3.32864 | − | 2.41840i | −0.255295 | − | 0.185482i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.07533 | − | 3.30954i | 0.0819935 | − | 0.252350i | ||||
\(173\) | 1.74167 | − | 1.93432i | 0.132417 | − | 0.147064i | −0.673290 | − | 0.739379i | \(-0.735119\pi\) |
0.805706 | + | 0.592315i | \(0.201786\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −7.32717 | + | 12.6910i | −0.553882 | + | 0.959352i | ||||
\(176\) | 3.61544 | + | 3.63981i | 0.272524 | + | 0.274361i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −9.76059 | − | 4.34569i | −0.731587 | − | 0.325724i | ||||
\(179\) | −2.34483 | − | 7.21663i | −0.175261 | − | 0.539396i | 0.824385 | − | 0.566030i | \(-0.191521\pi\) |
−0.999645 | + | 0.0266334i | \(0.991521\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.94179 | + | 1.41080i | 0.144332 | + | 0.104864i | 0.657608 | − | 0.753360i | \(-0.271568\pi\) |
−0.513276 | + | 0.858224i | \(0.671568\pi\) | |||||||
\(182\) | 0.726095 | − | 6.90833i | 0.0538218 | − | 0.512080i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.88937 | − | 1.03927i | −0.360449 | − | 0.0766159i | ||||
\(185\) | −1.01613 | − | 9.66784i | −0.0747074 | − | 0.710794i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 17.7850 | − | 4.70149i | 1.30056 | − | 0.343807i | ||||
\(188\) | 20.0064 | 1.45911 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.17647 | + | 3.62081i | 0.0853504 | + | 0.262681i | ||||
\(191\) | −16.1573 | + | 3.43433i | −1.16910 | + | 0.248500i | −0.751251 | − | 0.660017i | \(-0.770549\pi\) |
−0.417849 | + | 0.908517i | \(0.637216\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.43166 | + | 3.30879i | −0.534942 | + | 0.238172i | −0.656384 | − | 0.754427i | \(-0.727915\pi\) |
0.121442 | + | 0.992599i | \(0.461248\pi\) | |||||||
\(194\) | 3.56310 | + | 3.95722i | 0.255815 | + | 0.284112i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −11.7409 | − | 5.22738i | −0.838635 | − | 0.373384i | ||||
\(197\) | 22.9072 | 1.63207 | 0.816035 | − | 0.578003i | \(-0.196168\pi\) | ||||
0.816035 | + | 0.578003i | \(0.196168\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.27177 | 0.657259 | 0.328629 | − | 0.944459i | \(-0.393413\pi\) | ||||
0.328629 | + | 0.944459i | \(0.393413\pi\) | |||||||
\(200\) | 8.10574 | + | 3.60891i | 0.573162 | + | 0.255188i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.782935 | − | 0.869537i | −0.0550871 | − | 0.0611804i | ||||
\(203\) | 3.86318 | − | 1.72000i | 0.271142 | − | 0.120720i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.18828 | − | 0.677690i | 0.222679 | − | 0.0473319i | ||||
\(206\) | 0.551741 | + | 1.69808i | 0.0384416 | + | 0.118311i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.14243 | 0.287226 | ||||||||
\(209\) | −15.8709 | − | 6.15351i | −1.09781 | − | 0.425647i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.440125 | − | 4.18751i | −0.0302995 | − | 0.288280i | −0.999171 | − | 0.0407153i | \(-0.987036\pi\) |
0.968871 | − | 0.247565i | \(-0.0796303\pi\) | |||||||
\(212\) | −8.60065 | − | 1.82812i | −0.590695 | − | 0.125556i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.713596 | + | 6.78942i | −0.0487804 | + | 0.464115i | ||||
\(215\) | −2.01683 | − | 1.46531i | −0.137547 | − | 0.0999334i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.519021 | + | 1.59738i | 0.0352335 | + | 0.108437i | ||||
\(218\) | 1.43398 | + | 0.638448i | 0.0971212 | + | 0.0432412i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 5.15206 | − | 2.60334i | 0.347352 | − | 0.175517i | ||||
\(221\) | 7.42687 | − | 12.8637i | 0.499585 | − | 0.865307i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.58961 | + | 5.09728i | −0.307343 | + | 0.341339i | −0.876953 | − | 0.480576i | \(-0.840428\pi\) |
0.569610 | + | 0.821915i | \(0.307094\pi\) | |||||||
\(224\) | −6.94477 | + | 21.3738i | −0.464017 | + | 1.42810i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.823601 | + | 0.598381i | 0.0547851 | + | 0.0398037i | ||||
\(227\) | 27.5152 | − | 5.84854i | 1.82625 | − | 0.388181i | 0.838585 | − | 0.544771i | \(-0.183383\pi\) |
0.987664 | + | 0.156590i | \(0.0500502\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.46703 | + | 13.9578i | 0.0969438 | + | 0.922358i | 0.929600 | + | 0.368569i | \(0.120152\pi\) |
−0.832657 | + | 0.553789i | \(0.813181\pi\) | |||||||
\(230\) | −0.784218 | + | 1.35831i | −0.0517098 | + | 0.0895640i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.28021 | − | 2.21739i | −0.0840499 | − | 0.145579i | ||||
\(233\) | −11.7385 | + | 8.52854i | −0.769017 | + | 0.558723i | −0.901663 | − | 0.432440i | \(-0.857653\pi\) |
0.132646 | + | 0.991163i | \(0.457653\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.42895 | − | 13.6309i | 0.288913 | − | 0.889182i | ||||
\(236\) | 0.387010 | − | 3.68216i | 0.0251922 | − | 0.239688i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 9.62682 | + | 10.6917i | 0.624014 | + | 0.693038i | ||||
\(239\) | −24.5986 | − | 5.22859i | −1.59115 | − | 0.338209i | −0.674617 | − | 0.738168i | \(-0.735691\pi\) |
−0.916533 | + | 0.399959i | \(0.869024\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.87110 | − | 15.3652i | −0.571438 | − | 0.989759i | −0.996419 | − | 0.0845570i | \(-0.973053\pi\) |
0.424981 | − | 0.905202i | \(-0.360281\pi\) | |||||||
\(242\) | 1.56731 | − | 7.13747i | 0.100750 | − | 0.458814i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −5.15048 | + | 3.74205i | −0.329726 | + | 0.239560i | ||||
\(245\) | −6.16073 | + | 6.84218i | −0.393594 | + | 0.437131i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −12.5562 | + | 5.59036i | −0.798929 | + | 0.355706i | ||||
\(248\) | 0.929029 | − | 0.413630i | 0.0589934 | − | 0.0262655i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 4.34470 | − | 4.82528i | 0.274783 | − | 0.305177i | ||||
\(251\) | −17.6993 | + | 12.8593i | −1.11717 | + | 0.811670i | −0.983777 | − | 0.179394i | \(-0.942586\pi\) |
−0.133390 | + | 0.991064i | \(0.542586\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.49108 | − | 6.55523i | −0.156613 | − | 0.412124i | ||||
\(254\) | 2.54147 | + | 4.40195i | 0.159466 | + | 0.276203i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 8.59329 | + | 1.82656i | 0.537081 | + | 0.114160i | ||||
\(257\) | −3.45520 | − | 3.83739i | −0.215530 | − | 0.239370i | 0.625679 | − | 0.780081i | \(-0.284822\pi\) |
−0.841209 | + | 0.540711i | \(0.818155\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.55315 | + | 33.8059i | −0.220782 | + | 2.10060i | ||||
\(260\) | 1.44031 | − | 4.43283i | 0.0893244 | − | 0.274912i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.88024 | + | 2.09262i | −0.177942 | + | 0.129282i | ||||
\(263\) | −13.9491 | − | 24.1605i | −0.860135 | − | 1.48980i | −0.871798 | − | 0.489866i | \(-0.837046\pi\) |
0.0116625 | − | 0.999932i | \(-0.496288\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.14954 | + | 5.45516i | −0.193475 | + | 0.335108i | ||||
\(266\) | −1.39155 | − | 13.2397i | −0.0853212 | − | 0.811777i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −14.8676 | + | 3.16020i | −0.908183 | + | 0.193040i | ||||
\(269\) | 2.44290 | + | 1.77487i | 0.148946 | + | 0.108216i | 0.659763 | − | 0.751474i | \(-0.270657\pi\) |
−0.510816 | + | 0.859690i | \(0.670657\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −7.84125 | + | 24.1329i | −0.476322 | + | 1.46597i | 0.367845 | + | 0.929887i | \(0.380096\pi\) |
−0.844167 | + | 0.536081i | \(0.819904\pi\) | |||||||
\(272\) | −5.74089 | + | 6.37590i | −0.348093 | + | 0.386596i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.55744 | − | 9.62577i | 0.335737 | − | 0.581514i | ||||
\(275\) | 1.90595 | + | 12.3010i | 0.114933 | + | 0.741779i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.65105 | − | 4.29692i | −0.579875 | − | 0.258177i | 0.0957707 | − | 0.995403i | \(-0.469468\pi\) |
−0.675646 | + | 0.737226i | \(0.736135\pi\) | |||||||
\(278\) | 2.82066 | + | 8.68109i | 0.169172 | + | 0.520657i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 8.33875 | + | 6.05845i | 0.498335 | + | 0.362062i | ||||
\(281\) | −2.35926 | + | 22.4469i | −0.140742 | + | 1.33907i | 0.665019 | + | 0.746827i | \(0.268424\pi\) |
−0.805761 | + | 0.592241i | \(0.798243\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.74880 | + | 1.22195i | 0.341731 | + | 0.0726371i | 0.375580 | − | 0.926790i | \(-0.377443\pi\) |
−0.0338497 | + | 0.999427i | \(0.510777\pi\) | |||||||
\(284\) | −1.02922 | − | 9.79234i | −0.0610728 | − | 0.581069i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.19697 | − | 4.95930i | −0.189041 | − | 0.293250i | ||||
\(287\) | −11.3977 | −0.672782 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.25344 | + | 13.0907i | 0.250202 | + | 0.770044i | ||||
\(290\) | −0.785839 | + | 0.167035i | −0.0461461 | + | 0.00980865i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 16.6210 | − | 7.40014i | 0.972670 | − | 0.433061i | ||||
\(293\) | −4.74689 | − | 5.27195i | −0.277316 | − | 0.307991i | 0.588356 | − | 0.808602i | \(-0.299775\pi\) |
−0.865672 | + | 0.500611i | \(0.833109\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.42308 | − | 1.07883i | −0.141077 | − | 0.0628117i | ||||
\(296\) | 20.5814 | 1.19627 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −3.69339 | −0.213953 | ||||||||
\(299\) | −5.17278 | − | 2.30307i | −0.299150 | − | 0.133190i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.83291 | + | 6.47811i | 0.336204 | + | 0.373392i | ||||
\(302\) | −0.0994733 | + | 0.0442884i | −0.00572405 | + | 0.00254851i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 7.76540 | − | 1.65059i | 0.445376 | − | 0.0946676i | ||||
\(305\) | 1.40936 | + | 4.33757i | 0.0806999 | + | 0.248369i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −18.5370 | −1.05796 | −0.528981 | − | 0.848633i | \(-0.677426\pi\) | ||||
−0.528981 | + | 0.848633i | \(0.677426\pi\) | |||||||
\(308\) | −19.5144 | + | 5.15867i | −1.11194 | + | 0.293942i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.0333543 | − | 0.317345i | −0.00189440 | − | 0.0180240i | ||||
\(311\) | 6.72598 | + | 1.42965i | 0.381395 | + | 0.0810680i | 0.394620 | − | 0.918845i | \(-0.370876\pi\) |
−0.0132247 | + | 0.999913i | \(0.504210\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.64727 | − | 25.1871i | 0.149632 | − | 1.42366i | −0.619715 | − | 0.784827i | \(-0.712752\pi\) |
0.769348 | − | 0.638830i | \(-0.220581\pi\) | |||||||
\(314\) | −12.8197 | − | 9.31407i | −0.723459 | − | 0.525624i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.17455 | − | 6.69256i | −0.122328 | − | 0.376486i | ||||
\(317\) | −10.0301 | − | 4.46567i | −0.563344 | − | 0.250817i | 0.105248 | − | 0.994446i | \(-0.466436\pi\) |
−0.668593 | + | 0.743629i | \(0.733103\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.64149 | − | 3.19503i | 0.0919060 | − | 0.178888i | ||||
\(320\) | 0.407582 | − | 0.705953i | 0.0227845 | − | 0.0394640i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.66979 | − | 4.07571i | 0.204509 | − | 0.227131i | ||||
\(323\) | 8.79675 | − | 27.0736i | 0.489464 | − | 1.50642i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.13140 | + | 5.90780i | 0.451049 | + | 0.327706i | ||||
\(326\) | 2.72659 | − | 0.579555i | 0.151012 | − | 0.0320986i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.721351 | + | 6.86319i | 0.0398299 | + | 0.378956i | ||||
\(329\) | −25.0583 | + | 43.4023i | −1.38151 | + | 2.39284i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.85513 | + | 3.21317i | 0.101967 | + | 0.176612i | 0.912495 | − | 0.409088i | \(-0.134153\pi\) |
−0.810528 | + | 0.585700i | \(0.800820\pi\) | |||||||
\(332\) | −0.607805 | + | 0.441596i | −0.0333576 | + | 0.0242357i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.25182 | + | 10.0081i | −0.177931 | + | 0.547617i | ||||
\(335\) | −1.13821 | + | 10.8293i | −0.0621869 | + | 0.591668i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −21.5428 | − | 23.9257i | −1.17351 | − | 1.30331i | −0.943976 | − | 0.330013i | \(-0.892947\pi\) |
−0.229533 | − | 0.973301i | \(-0.573720\pi\) | |||||||
\(338\) | 3.78725 | + | 0.805004i | 0.205999 | + | 0.0437864i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 4.82678 | + | 8.36023i | 0.261769 | + | 0.453397i | ||||
\(341\) | 1.19390 | + | 0.781045i | 0.0646535 | + | 0.0422960i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.93417 | − | 2.85834i | 0.212425 | − | 0.154336i | ||||
\(344\) | 3.53168 | − | 3.92233i | 0.190416 | − | 0.211478i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.57966 | − | 0.703310i | 0.0849230 | − | 0.0378102i | ||||
\(347\) | 19.6618 | − | 8.75398i | 1.05550 | − | 0.469939i | 0.195749 | − | 0.980654i | \(-0.437286\pi\) |
0.859750 | + | 0.510715i | \(0.170619\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −11.2547 | + | 12.4997i | −0.602453 | + | 0.669092i | −0.964810 | − | 0.262948i | \(-0.915305\pi\) |
0.362357 | + | 0.932039i | \(0.381972\pi\) | |||||||
\(350\) | −7.87593 | + | 5.72219i | −0.420986 | + | 0.305864i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 6.78127 | + | 17.8448i | 0.361443 | + | 0.951129i | ||||
\(353\) | 1.56543 | + | 2.71140i | 0.0833193 | + | 0.144313i | 0.904674 | − | 0.426105i | \(-0.140115\pi\) |
−0.821355 | + | 0.570418i | \(0.806781\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.89965 | − | 1.46657i | −0.366195 | − | 0.0778372i | ||||
\(356\) | 16.7740 | + | 18.6294i | 0.889018 | + | 0.987355i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.526915 | − | 5.01326i | 0.0278483 | − | 0.264959i | ||||
\(359\) | −2.62315 | + | 8.07323i | −0.138445 | + | 0.426089i | −0.996110 | − | 0.0881197i | \(-0.971914\pi\) |
0.857665 | + | 0.514208i | \(0.171914\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.93893 | + | 4.31489i | −0.312575 | + | 0.227099i | ||||
\(362\) | 0.797247 | + | 1.38087i | 0.0419024 | + | 0.0725770i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −8.14907 | + | 14.1146i | −0.427127 | + | 0.739806i | ||||
\(365\) | −1.36242 | − | 12.9626i | −0.0713124 | − | 0.678492i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.7703 | − | 2.28931i | 0.562208 | − | 0.119501i | 0.0819628 | − | 0.996635i | \(-0.473881\pi\) |
0.480245 | + | 0.877134i | \(0.340548\pi\) | |||||||
\(368\) | 2.64596 | + | 1.92241i | 0.137930 | + | 0.100212i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.99561 | − | 6.14185i | 0.103747 | − | 0.319300i | ||||
\(371\) | 14.7384 | − | 16.3687i | 0.765181 | − | 0.849820i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.50342 | + | 9.53220i | −0.284956 | + | 0.493558i | −0.972599 | − | 0.232491i | \(-0.925312\pi\) |
0.687642 | + | 0.726050i | \(0.258646\pi\) | |||||||
\(374\) | 12.0638 | + | 1.95229i | 0.623805 | + | 0.100950i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 27.7210 | + | 12.3422i | 1.42960 | + | 0.636499i | ||||
\(377\) | −0.896269 | − | 2.75843i | −0.0461602 | − | 0.142067i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.5384 | − | 14.9220i | −1.05499 | − | 0.766492i | −0.0818315 | − | 0.996646i | \(-0.526077\pi\) |
−0.973154 | + | 0.230154i | \(0.926077\pi\) | |||||||
\(380\) | 0.933713 | − | 8.88368i | 0.0478984 | − | 0.455723i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.7336 | − | 2.28150i | −0.549179 | − | 0.116732i | ||||
\(383\) | −1.26633 | − | 12.0484i | −0.0647067 | − | 0.615643i | −0.978038 | − | 0.208426i | \(-0.933166\pi\) |
0.913331 | − | 0.407217i | \(-0.133501\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.805292 | + | 14.4377i | −0.0410415 | + | 0.735814i | ||||
\(386\) | −5.40422 | −0.275068 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.86080 | − | 11.8823i | −0.196003 | − | 0.603234i | ||||
\(389\) | 14.0375 | − | 2.98376i | 0.711728 | − | 0.151283i | 0.162200 | − | 0.986758i | \(-0.448141\pi\) |
0.549528 | + | 0.835475i | \(0.314808\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 10.7136 | − | 4.77002i | 0.541812 | − | 0.241230i | ||||
\(392\) | −13.0434 | − | 14.4862i | −0.658792 | − | 0.731663i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 13.9021 | + | 6.18960i | 0.700376 | + | 0.311828i | ||||
\(395\) | −5.04123 | −0.253652 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.03882 | −0.252891 | −0.126446 | − | 0.991974i | \(-0.540357\pi\) | ||||
−0.126446 | + | 0.991974i | \(0.540357\pi\) | |||||||
\(398\) | 5.62692 | + | 2.50527i | 0.282052 | + | 0.125578i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.88464 | − | 4.31433i | −0.194232 | − | 0.215717i | ||||
\(401\) | 16.6267 | − | 7.40268i | 0.830297 | − | 0.369672i | 0.0528362 | − | 0.998603i | \(-0.483174\pi\) |
0.777461 | + | 0.628931i | \(0.216507\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.12680 | − | 0.239509i | 0.0561301 | − | 0.0119308i | ||||
\(404\) | 0.848352 | + | 2.61096i | 0.0422071 | + | 0.129900i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.80926 | 0.139421 | ||||||||
\(407\) | 15.6444 | + | 24.2683i | 0.775464 | + | 1.20294i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.71745 | − | 16.3404i | −0.0849224 | − | 0.807983i | −0.951232 | − | 0.308476i | \(-0.900181\pi\) |
0.866310 | − | 0.499507i | \(-0.166486\pi\) | |||||||
\(410\) | 2.11804 | + | 0.450203i | 0.104603 | + | 0.0222340i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.437891 | − | 4.16626i | 0.0215733 | − | 0.205257i | ||||
\(413\) | 7.50342 | + | 5.45155i | 0.369219 | + | 0.268253i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.166318 | + | 0.511874i | 0.00816423 | + | 0.0251269i | ||||
\(416\) | 14.0814 | + | 6.26946i | 0.690399 | + | 0.307386i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −7.96912 | − | 8.02285i | −0.389783 | − | 0.392410i | ||||
\(419\) | −8.70324 | + | 15.0745i | −0.425181 | + | 0.736435i | −0.996437 | − | 0.0843365i | \(-0.973123\pi\) |
0.571256 | + | 0.820772i | \(0.306456\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.04364 | − | 3.38030i | 0.148338 | − | 0.164746i | −0.664397 | − | 0.747380i | \(-0.731311\pi\) |
0.812734 | + | 0.582634i | \(0.197978\pi\) | |||||||
\(422\) | 0.864374 | − | 2.66027i | 0.0420771 | − | 0.129500i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −10.7893 | − | 7.83890i | −0.523976 | − | 0.380691i | ||||
\(425\) | −20.3622 | + | 4.32812i | −0.987712 | + | 0.209945i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.66701 | − | 15.8606i | −0.0806723 | − | 0.767546i | ||||
\(428\) | 8.00879 | − | 13.8716i | 0.387120 | − | 0.670511i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.828055 | − | 1.43423i | −0.0399323 | − | 0.0691648i | ||||
\(431\) | 10.1004 | − | 7.33838i | 0.486520 | − | 0.353477i | −0.317325 | − | 0.948317i | \(-0.602784\pi\) |
0.803844 | + | 0.594840i | \(0.202784\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.86451 | − | 27.2822i | 0.426001 | − | 1.31110i | −0.476031 | − | 0.879428i | \(-0.657925\pi\) |
0.902032 | − | 0.431668i | \(-0.142075\pi\) | |||||||
\(434\) | −0.116631 | + | 1.10967i | −0.00559848 | + | 0.0532660i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.46435 | − | 2.73694i | −0.118021 | − | 0.131075i | ||||
\(437\) | −10.6146 | − | 2.25620i | −0.507764 | − | 0.107929i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.05404 | + | 3.55769i | 0.0980338 | + | 0.169799i | 0.910871 | − | 0.412692i | \(-0.135411\pi\) |
−0.812837 | + | 0.582491i | \(0.802078\pi\) | |||||||
\(440\) | 8.74476 | − | 0.428841i | 0.416890 | − | 0.0204442i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7.98309 | − | 5.80005i | 0.379717 | − | 0.275880i | ||||
\(443\) | 14.2054 | − | 15.7767i | 0.674921 | − | 0.749576i | −0.304255 | − | 0.952591i | \(-0.598407\pi\) |
0.979176 | + | 0.203015i | \(0.0650740\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 16.4061 | − | 7.30446i | 0.777723 | − | 0.346265i | ||||
\(446\) | −4.16267 | + | 1.85334i | −0.197108 | + | 0.0877583i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.90730 | + | 2.11827i | −0.0901116 | + | 0.100079i | ||||
\(449\) | 20.9494 | − | 15.2206i | 0.988663 | − | 0.718306i | 0.0290350 | − | 0.999578i | \(-0.490757\pi\) |
0.959628 | + | 0.281273i | \(0.0907566\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.54435 | + | 6.06744i | −0.355249 | + | 0.285705i | ||||
\(452\) | −1.19428 | − | 2.06856i | −0.0561744 | − | 0.0972970i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 18.2789 | + | 3.88530i | 0.857872 | + | 0.182346i | ||||
\(455\) | 7.81266 | + | 8.67684i | 0.366263 | + | 0.406776i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.07705 | − | 10.2474i | 0.0503821 | − | 0.479354i | −0.940018 | − | 0.341124i | \(-0.889192\pi\) |
0.990400 | − | 0.138229i | \(-0.0441411\pi\) | |||||||
\(458\) | −2.88113 | + | 8.86721i | −0.134626 | + | 0.414338i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.97717 | − | 2.16304i | 0.138811 | − | 0.100852i | ||||
\(461\) | −12.7266 | − | 22.0432i | −0.592738 | − | 1.02665i | −0.993862 | − | 0.110628i | \(-0.964714\pi\) |
0.401124 | − | 0.916024i | \(-0.368620\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 19.9277 | − | 34.5158i | 0.926119 | − | 1.60409i | 0.136368 | − | 0.990658i | \(-0.456457\pi\) |
0.789751 | − | 0.613427i | \(-0.210210\pi\) | |||||||
\(464\) | 0.175115 | + | 1.66611i | 0.00812951 | + | 0.0773471i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.42840 | + | 2.00407i | −0.436762 | + | 0.0928367i | ||||
\(467\) | −14.0582 | − | 10.2139i | −0.650537 | − | 0.472643i | 0.212917 | − | 0.977070i | \(-0.431704\pi\) |
−0.863454 | + | 0.504427i | \(0.831704\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.7661 | − | 36.2123i | 0.543308 | − | 1.67213i | ||||
\(470\) | 6.37099 | − | 7.07570i | 0.293872 | − | 0.326378i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.80781 | − | 4.86327i | 0.129240 | − | 0.223850i | ||||
\(473\) | 7.30949 | + | 1.18289i | 0.336091 | + | 0.0543896i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 17.5971 | + | 7.83475i | 0.807412 | + | 0.359483i | ||||
\(476\) | −10.4312 | − | 32.1039i | −0.478112 | − | 1.47148i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −13.5158 | − | 9.81979i | −0.618197 | − | 0.449147i | ||||
\(479\) | −2.28875 | + | 21.7760i | −0.104576 | + | 0.994972i | 0.808863 | + | 0.587997i | \(0.200083\pi\) |
−0.913439 | + | 0.406975i | \(0.866584\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 22.8047 | + | 4.84729i | 1.03980 | + | 0.221017i | ||||
\(482\) | −1.23203 | − | 11.7219i | −0.0561172 | − | 0.533920i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −10.1708 | + | 13.8029i | −0.462310 | + | 0.627407i | ||||
\(485\) | −8.95046 | −0.406420 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.01084 | + | 3.11106i | 0.0458057 | + | 0.140975i | 0.971344 | − | 0.237679i | \(-0.0763867\pi\) |
−0.925538 | + | 0.378655i | \(0.876387\pi\) | |||||||
\(488\) | −9.44506 | + | 2.00761i | −0.427558 | + | 0.0908802i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −5.58764 | + | 2.48778i | −0.252424 | + | 0.112386i | ||||
\(491\) | 4.83373 | + | 5.36841i | 0.218143 | + | 0.242273i | 0.842277 | − | 0.539045i | \(-0.181215\pi\) |
−0.624134 | + | 0.781318i | \(0.714548\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 5.48781 | + | 2.44333i | 0.247159 | + | 0.110042i | ||||
\(494\) | −9.13071 | −0.410810 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.665390 | −0.0298769 | ||||||||
\(497\) | 22.5328 | + | 10.0323i | 1.01074 | + | 0.450009i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.92622 | + | 11.0242i | 0.444359 | + | 0.493511i | 0.923162 | − | 0.384412i | \(-0.125596\pi\) |
−0.478803 | + | 0.877922i | \(0.658929\pi\) | |||||||
\(500\) | −13.9174 | + | 6.19642i | −0.622405 | + | 0.277112i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −14.2161 | + | 3.02172i | −0.634494 | + | 0.134866i | ||||
\(503\) | 10.1918 | + | 31.3671i | 0.454430 | + | 1.39859i | 0.871803 | + | 0.489856i | \(0.162951\pi\) |
−0.417374 | + | 0.908735i | \(0.637049\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.96673 | 0.0875181 | ||||||||
\(506\) | 0.259440 | − | 4.65138i | 0.0115335 | − | 0.206779i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.24660 | − | 11.8606i | −0.0553090 | − | 0.526230i | ||||
\(509\) | 37.8244 | + | 8.03982i | 1.67654 | + | 0.356359i | 0.945410 | − | 0.325884i | \(-0.105662\pi\) |
0.731126 | + | 0.682243i | \(0.238995\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.76404 | + | 45.3268i | −0.210749 | + | 2.00514i | ||||
\(512\) | −13.1198 | − | 9.53213i | −0.579821 | − | 0.421264i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −1.06004 | − | 3.26247i | −0.0467564 | − | 0.143901i | ||||
\(515\) | −2.74165 | − | 1.22066i | −0.120812 | − | 0.0537888i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.51820 | + | 42.0685i | 0.286670 | + | 1.85017i | ||||
\(518\) | −11.2908 | + | 19.5563i | −0.496091 | + | 0.859255i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.73037 | − | 5.25361i | 0.207440 | − | 0.230386i | ||||
\(521\) | 5.40297 | − | 16.6286i | 0.236708 | − | 0.728514i | −0.760182 | − | 0.649710i | \(-0.774890\pi\) |
0.996890 | − | 0.0788032i | \(-0.0251099\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.7211 | − | 8.51591i | −0.512530 | − | 0.372375i | 0.301253 | − | 0.953544i | \(-0.402595\pi\) |
−0.813782 | + | 0.581170i | \(0.802595\pi\) | |||||||
\(524\) | 8.17061 | − | 1.73672i | 0.356935 | − | 0.0758688i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.93726 | − | 18.4318i | −0.0844683 | − | 0.803663i | ||||
\(527\) | −1.19296 | + | 2.06627i | −0.0519663 | + | 0.0900082i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.26470 | + | 16.0469i | 0.402813 | + | 0.697693i | ||||
\(530\) | −3.38542 | + | 2.45965i | −0.147053 | + | 0.106840i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −9.65216 | + | 29.7063i | −0.418474 | + | 1.28793i | ||||
\(533\) | −0.817130 | + | 7.77447i | −0.0353938 | + | 0.336750i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −7.67818 | − | 8.52748i | −0.331956 | − | 0.368675i | ||||
\(536\) | −22.5502 | − | 4.79319i | −0.974021 | − | 0.207034i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1.00299 | + | 1.73722i | 0.0432418 | + | 0.0748971i | ||||
\(539\) | 7.16664 | − | 26.3913i | 0.308689 | − | 1.13675i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −26.7771 | + | 19.4547i | −1.15124 | + | 0.836422i | −0.988645 | − | 0.150272i | \(-0.951985\pi\) |
−0.162591 | + | 0.986694i | \(0.551985\pi\) | |||||||
\(542\) | −11.2795 | + | 12.5272i | −0.484498 | + | 0.538089i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −29.1649 | + | 12.9850i | −1.25043 | + | 0.556729i | ||||
\(545\) | −2.41030 | + | 1.07314i | −0.103246 | + | 0.0459681i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.16546 | − | 6.84744i | 0.263616 | − | 0.292775i | −0.596776 | − | 0.802408i | \(-0.703552\pi\) |
0.860392 | + | 0.509633i | \(0.170219\pi\) | |||||||
\(548\) | −21.0980 | + | 15.3286i | −0.901262 | + | 0.654805i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.16708 | + | 7.98032i | −0.0924046 | + | 0.340282i | ||||
\(551\) | −2.77927 | − | 4.81383i | −0.118401 | − | 0.205076i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 17.2427 | + | 3.66504i | 0.733232 | + | 0.155853i | ||||
\(554\) | −4.69605 | − | 5.21549i | −0.199516 | − | 0.221585i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.23863 | − | 21.2991i | 0.0949388 | − | 0.903283i | ||||
\(557\) | −11.4496 | + | 35.2384i | −0.485137 | + | 1.49310i | 0.346645 | + | 0.937996i | \(0.387321\pi\) |
−0.831782 | + | 0.555102i | \(0.812679\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.83697 | − | 3.51427i | 0.204582 | − | 0.148638i | ||||
\(560\) | −3.37202 | − | 5.84052i | −0.142494 | − | 0.246807i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −7.49703 | + | 12.9852i | −0.316243 | + | 0.547749i | ||||
\(563\) | −2.82165 | − | 26.8462i | −0.118918 | − | 1.13143i | −0.877407 | − | 0.479746i | \(-0.840729\pi\) |
0.758489 | − | 0.651686i | \(-0.225938\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.67376 | + | 0.355768i | −0.0704155 | + | 0.0149673i | ||||
\(566\) | 3.15870 | + | 2.29493i | 0.132770 | + | 0.0964630i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.61492 | − | 14.2033i | 0.193638 | − | 0.595956i | ||||
\(569\) | 18.3848 | − | 20.4184i | 0.770733 | − | 0.855985i | −0.222159 | − | 0.975011i | \(-0.571310\pi\) |
0.992891 | + | 0.119025i | \(0.0379769\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.5052 | − | 33.7840i | 0.816266 | − | 1.41381i | −0.0921492 | − | 0.995745i | \(-0.529374\pi\) |
0.908415 | − | 0.418069i | \(-0.137293\pi\) | |||||||
\(572\) | 2.11974 | + | 13.6808i | 0.0886310 | + | 0.572024i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −6.91709 | − | 3.07969i | −0.288714 | − | 0.128544i | ||||
\(575\) | 2.45223 | + | 7.54719i | 0.102265 | + | 0.314739i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 23.5957 | + | 17.1433i | 0.982302 | + | 0.713684i | 0.958222 | − | 0.286026i | \(-0.0923344\pi\) |
0.0240800 | + | 0.999710i | \(0.492334\pi\) | |||||||
\(578\) | −0.955807 | + | 9.09390i | −0.0397563 | + | 0.378256i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.84379 | + | 0.391910i | 0.0765594 | + | 0.0162732i | ||||
\(581\) | −0.196723 | − | 1.87169i | −0.00816144 | − | 0.0776509i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.04195 | − | 18.6807i | 0.0431532 | − | 0.773674i | ||||
\(584\) | 27.5954 | 1.14191 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.45632 | − | 4.48210i | −0.0601602 | − | 0.185154i | ||||
\(587\) | −4.97675 | + | 1.05784i | −0.205412 | + | 0.0436618i | −0.309469 | − | 0.950910i | \(-0.600151\pi\) |
0.104056 | + | 0.994571i | \(0.466818\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.01687 | − | 0.897969i | 0.0831037 | − | 0.0370002i | ||||
\(590\) | −1.17903 | − | 1.30945i | −0.0485401 | − | 0.0539092i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −12.3022 | − | 5.47729i | −0.505617 | − | 0.225115i | ||||
\(593\) | −3.46422 | −0.142258 | −0.0711292 | − | 0.997467i | \(-0.522660\pi\) | ||||
−0.0711292 | + | 0.997467i | \(0.522660\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −24.1825 | −0.991386 | ||||||||
\(596\) | 7.91653 | + | 3.52466i | 0.324274 | + | 0.144376i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.51700 | − | 2.79541i | −0.102928 | − | 0.114313i | ||||
\(599\) | −22.7243 | + | 10.1175i | −0.928489 | + | 0.413390i | −0.814547 | − | 0.580097i | \(-0.803015\pi\) |
−0.113942 | + | 0.993487i | \(0.536348\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.8263 | + | 2.30119i | −0.441612 | + | 0.0938676i | −0.423351 | − | 0.905966i | \(-0.639146\pi\) |
−0.0182611 | + | 0.999833i | \(0.505813\pi\) | |||||||
\(602\) | 1.78951 | + | 5.50755i | 0.0729351 | + | 0.224471i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.255479 | 0.0103953 | ||||||||
\(605\) | 7.15276 | + | 9.98532i | 0.290801 | + | 0.405961i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.92272 | + | 27.8078i | 0.118630 | + | 1.12869i | 0.878211 | + | 0.478273i | \(0.158737\pi\) |
−0.759582 | + | 0.650412i | \(0.774596\pi\) | |||||||
\(608\) | 28.8952 | + | 6.14186i | 1.17185 | + | 0.249085i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.316703 | + | 3.01323i | −0.0128229 | + | 0.122002i | ||||
\(611\) | 27.8087 | + | 20.2042i | 1.12502 | + | 0.817375i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.39680 | + | 10.4543i | 0.137196 | + | 0.422245i | 0.995925 | − | 0.0901845i | \(-0.0287457\pi\) |
−0.858729 | + | 0.512429i | \(0.828746\pi\) | |||||||
\(614\) | −11.2499 | − | 5.00876i | −0.454008 | − | 0.202137i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −30.2217 | − | 4.89078i | −1.21767 | − | 0.197055i | ||||
\(617\) | 9.31311 | − | 16.1308i | 0.374932 | − | 0.649401i | −0.615385 | − | 0.788227i | \(-0.710999\pi\) |
0.990317 | + | 0.138826i | \(0.0443328\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.79895 | − | 1.99793i | 0.0723057 | − | 0.0803036i | −0.705906 | − | 0.708305i | \(-0.749460\pi\) |
0.778212 | + | 0.628001i | \(0.216127\pi\) | |||||||
\(620\) | −0.231355 | + | 0.712036i | −0.00929142 | + | 0.0285961i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 3.69561 | + | 2.68502i | 0.148180 | + | 0.107659i | ||||
\(623\) | −61.4246 | + | 13.0562i | −2.46093 | + | 0.523086i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.820749 | − | 7.80890i | −0.0328299 | − | 0.312356i | ||||
\(626\) | 8.41222 | − | 14.5704i | 0.336220 | − | 0.582350i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 18.5896 | + | 32.1981i | 0.741805 | + | 1.28484i | ||||
\(629\) | −39.0652 | + | 28.3826i | −1.55763 | + | 1.13169i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −12.1224 | + | 37.3089i | −0.482585 | + | 1.48524i | 0.352863 | + | 0.935675i | \(0.385208\pi\) |
−0.835448 | + | 0.549569i | \(0.814792\pi\) | |||||||
\(632\) | 1.11566 | − | 10.6148i | 0.0443784 | − | 0.422233i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −4.88047 | − | 5.42031i | −0.193828 | − | 0.215268i | ||||
\(635\) | −8.35695 | − | 1.77633i | −0.331636 | − | 0.0704913i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −11.0407 | − | 19.1230i | −0.437447 | − | 0.757681i | ||||
\(638\) | 1.85951 | − | 1.49549i | 0.0736187 | − | 0.0592069i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −9.96109 | + | 7.23716i | −0.393747 | + | 0.286074i | ||||
\(641\) | −17.2294 | + | 19.1352i | −0.680521 | + | 0.755795i | −0.980149 | − | 0.198261i | \(-0.936471\pi\) |
0.299628 | + | 0.954056i | \(0.403137\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12.1794 | + | 5.42264i | −0.480310 | + | 0.213848i | −0.632586 | − | 0.774490i | \(-0.718007\pi\) |
0.152276 | + | 0.988338i | \(0.451340\pi\) | |||||||
\(644\) | −11.7555 | + | 5.23386i | −0.463230 | + | 0.206243i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 12.6540 | − | 14.0537i | 0.497866 | − | 0.552936i | ||||
\(647\) | 19.2955 | − | 14.0190i | 0.758585 | − | 0.551145i | −0.139891 | − | 0.990167i | \(-0.544675\pi\) |
0.898476 | + | 0.439022i | \(0.144675\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 7.86876 | − | 0.385882i | 0.308876 | − | 0.0151472i | ||||
\(650\) | 3.33853 | + | 5.78250i | 0.130948 | + | 0.226808i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.39733 | − | 1.35979i | −0.250539 | − | 0.0532537i | ||||
\(653\) | −8.51464 | − | 9.45647i | −0.333204 | − | 0.370060i | 0.553140 | − | 0.833088i | \(-0.313430\pi\) |
−0.886344 | + | 0.463028i | \(0.846763\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.625511 | − | 5.95134i | 0.0244407 | − | 0.232538i | ||||
\(656\) | 1.39531 | − | 4.29433i | 0.0544778 | − | 0.167666i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −26.9350 | + | 19.5694i | −1.05004 | + | 0.762896i | ||||
\(659\) | −13.6263 | − | 23.6015i | −0.530806 | − | 0.919383i | −0.999354 | − | 0.0359452i | \(-0.988556\pi\) |
0.468547 | − | 0.883438i | \(-0.344777\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −21.8220 | + | 37.7968i | −0.848777 | + | 1.47012i | 0.0335234 | + | 0.999438i | \(0.489327\pi\) |
−0.882300 | + | 0.470687i | \(0.844006\pi\) | |||||||
\(662\) | 0.257641 | + | 2.45129i | 0.0100135 | + | 0.0952723i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.11461 | + | 0.236917i | −0.0432551 | + | 0.00919415i | ||||
\(665\) | 18.1030 | + | 13.1526i | 0.702003 | + | 0.510035i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.707636 | − | 2.17788i | 0.0273998 | − | 0.0843278i | ||||
\(668\) | 16.5209 | − | 18.3483i | 0.639212 | − | 0.709917i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −3.61688 | + | 6.26462i | −0.139732 | + | 0.242023i | ||||
\(671\) | −9.54666 | − | 9.61102i | −0.368545 | − | 0.371029i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −24.3795 | − | 10.8545i | −0.939761 | − | 0.418408i | −0.121070 | − | 0.992644i | \(-0.538633\pi\) |
−0.818690 | + | 0.574236i | \(0.805299\pi\) | |||||||
\(674\) | −6.60922 | − | 20.3411i | −0.254578 | − | 0.783510i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.34946 | − | 5.33970i | −0.282672 | − | 0.205373i | ||||
\(677\) | 2.83095 | − | 26.9347i | 0.108802 | − | 1.03518i | −0.794817 | − | 0.606849i | \(-0.792433\pi\) |
0.903620 | − | 0.428336i | \(-0.140900\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 30.6135 | + | 6.50711i | 1.17484 | + | 0.249720i | ||||
\(680\) | 1.53050 | + | 14.5617i | 0.0586918 | + | 0.558415i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.513524 | + | 0.796603i | 0.0196638 | + | 0.0305035i | ||||
\(683\) | 16.7343 | 0.640322 | 0.320161 | − | 0.947363i | \(-0.396263\pi\) | ||||
0.320161 | + | 0.947363i | \(0.396263\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.77319 | + | 17.7681i | 0.220582 | + | 0.678883i | ||||
\(686\) | 3.15993 | − | 0.671665i | 0.120647 | − | 0.0256443i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3.15485 | + | 1.40463i | −0.120278 | + | 0.0535510i | ||||
\(689\) | −10.1086 | − | 11.2268i | −0.385108 | − | 0.427706i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −34.2758 | − | 15.2606i | −1.30391 | − | 0.580540i | −0.367039 | − | 0.930205i | \(-0.619629\pi\) |
−0.936875 | + | 0.349665i | \(0.886295\pi\) | |||||||
\(692\) | −4.05707 | −0.154226 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 14.2978 | 0.542738 | ||||||||
\(695\) | −14.0161 | − | 6.24037i | −0.531661 | − | 0.236711i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −10.8338 | − | 12.0322i | −0.410359 | − | 0.455750i | ||||
\(698\) | −10.2078 | + | 4.54481i | −0.386371 | + | 0.172024i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 22.3423 | − | 4.74899i | 0.844458 | − | 0.179495i | ||||
\(701\) | −3.15219 | − | 9.70143i | −0.119056 | − | 0.366418i | 0.873715 | − | 0.486438i | \(-0.161704\pi\) |
−0.992771 | + | 0.120020i | \(0.961704\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 44.6811 | 1.68518 | ||||||||
\(704\) | −0.134839 | + | 2.41747i | −0.00508193 | + | 0.0911117i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.217408 | + | 2.06850i | 0.00818225 | + | 0.0778489i | ||||
\(707\) | −6.72685 | − | 1.42984i | −0.252989 | − | 0.0537745i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.51542 | − | 14.4183i | 0.0569128 | − | 0.541489i | −0.928503 | − | 0.371325i | \(-0.878904\pi\) |
0.985416 | − | 0.170164i | \(-0.0544297\pi\) | |||||||
\(710\) | −3.79104 | − | 2.75435i | −0.142275 | − | 0.103369i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 11.7494 | + | 36.1610i | 0.440329 | + | 1.35519i | ||||
\(713\) | 0.830893 | + | 0.369938i | 0.0311172 | + | 0.0138543i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 9.79040 | + | 1.58438i | 0.366140 | + | 0.0592525i | ||||
\(716\) | −5.91364 | + | 10.2427i | −0.221003 | + | 0.382789i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.77337 | + | 4.19075i | −0.140821 | + | 0.156397i | ||||
\(719\) | −5.94135 | + | 18.2856i | −0.221575 | + | 0.681938i | 0.777046 | + | 0.629444i | \(0.216717\pi\) |
−0.998621 | + | 0.0524943i | \(0.983283\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 8.48991 | + | 6.16828i | 0.316181 | + | 0.229719i | ||||
\(722\) | −4.77016 | + | 1.01393i | −0.177527 | + | 0.0377345i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.391054 | − | 3.72063i | −0.0145334 | − | 0.138276i | ||||
\(725\) | −2.03241 | + | 3.52023i | −0.0754818 | + | 0.130738i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −0.363414 | − | 0.629451i | −0.0134783 | − | 0.0233450i | 0.859208 | − | 0.511627i | \(-0.170957\pi\) |
−0.872686 | + | 0.488282i | \(0.837624\pi\) | |||||||
\(728\) | −19.9989 | + | 14.5300i | −0.741207 | + | 0.538519i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 2.67570 | − | 8.23495i | 0.0990320 | − | 0.304789i | ||||
\(731\) | −1.29439 | + | 12.3153i | −0.0478746 | + | 0.455496i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.25521 | − | 1.39406i | −0.0463624 | − | 0.0514907i | 0.719518 | − | 0.694474i | \(-0.244363\pi\) |
−0.765880 | + | 0.642984i | \(0.777696\pi\) | |||||||
\(734\) | 7.15496 | + | 1.52083i | 0.264095 | + | 0.0561350i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.08497 | + | 10.5395i | 0.224295 | + | 0.388490i | ||||
\(737\) | −11.4891 | − | 30.2333i | −0.423206 | − | 1.11366i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 42.5402 | − | 30.9073i | 1.56487 | − | 1.13694i | 0.632993 | − | 0.774157i | \(-0.281826\pi\) |
0.931873 | − | 0.362784i | \(-0.118174\pi\) | |||||||
\(740\) | −10.1387 | + | 11.2602i | −0.372706 | + | 0.413932i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 13.3674 | − | 5.95157i | 0.490734 | − | 0.218489i | ||||
\(743\) | 30.4510 | − | 13.5577i | 1.11714 | − | 0.497383i | 0.236720 | − | 0.971578i | \(-0.423928\pi\) |
0.880420 | + | 0.474195i | \(0.157261\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.15399 | − | 4.61348i | 0.152190 | − | 0.169025i | ||||
\(746\) | −5.91558 | + | 4.29792i | −0.216585 | + | 0.157358i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −23.9948 | − | 15.6973i | −0.877338 | − | 0.573949i | ||||
\(749\) | 20.0623 | + | 34.7489i | 0.733060 | + | 1.26970i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 22.8535 | + | 4.85766i | 0.833937 | + | 0.177259i | 0.605043 | − | 0.796193i | \(-0.293156\pi\) |
0.228894 | + | 0.973451i | \(0.426489\pi\) | |||||||
\(752\) | −13.2852 | − | 14.7547i | −0.484460 | − | 0.538047i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.201404 | − | 1.91623i | 0.00733470 | − | 0.0697851i | ||||
\(755\) | 0.0565572 | − | 0.174065i | 0.00205833 | − | 0.00633488i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 27.3472 | − | 19.8689i | 0.993952 | − | 0.722148i | 0.0331687 | − | 0.999450i | \(-0.489440\pi\) |
0.960783 | + | 0.277302i | \(0.0894401\pi\) | |||||||
\(758\) | −8.43250 | − | 14.6055i | −0.306282 | − | 0.530496i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 6.77421 | − | 11.7333i | 0.245726 | − | 0.425611i | ||||
\(761\) | 2.10227 | + | 20.0017i | 0.0762071 | + | 0.725062i | 0.964195 | + | 0.265195i | \(0.0854363\pi\) |
−0.887988 | + | 0.459867i | \(0.847897\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 9.02421 | − | 1.91815i | 0.326698 | − | 0.0694419i | ||||
\(764\) | 20.8294 | + | 15.1335i | 0.753583 | + | 0.547510i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.48699 | − | 7.65417i | 0.0898586 | − | 0.276556i | ||||
\(767\) | 4.25651 | − | 4.72733i | 0.153694 | − | 0.170694i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.313500 | + | 0.542997i | −0.0113051 | + | 0.0195810i | −0.871623 | − | 0.490178i | \(-0.836932\pi\) |
0.860318 | + | 0.509759i | \(0.170265\pi\) | |||||||
\(770\) | −4.38984 | + | 8.54447i | −0.158199 | + | 0.307921i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 11.5836 | + | 5.15733i | 0.416902 | + | 0.185617i | ||||
\(773\) | −8.88046 | − | 27.3313i | −0.319408 | − | 0.983037i | −0.973902 | − | 0.226970i | \(-0.927118\pi\) |
0.654494 | − | 0.756067i | \(-0.272882\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.30613 | − | 0.948959i | −0.0469176 | − | 0.0340876i | ||||
\(776\) | 1.98080 | − | 18.8460i | 0.0711064 | − | 0.676533i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 9.32539 | + | 1.98217i | 0.334331 | + | 0.0710643i | ||||
\(779\) | 1.56601 | + | 14.8996i | 0.0561083 | + | 0.533834i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 20.2556 | − | 5.35460i | 0.724801 | − | 0.191603i | ||||
\(782\) | 7.79085 | 0.278600 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.94131 | + | 12.1301i | 0.140761 | + | 0.433218i | ||||
\(785\) | 26.0528 | − | 5.53769i | 0.929864 | − | 0.197649i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −12.8837 | + | 5.73618i | −0.459254 | + | 0.204473i | −0.623305 | − | 0.781979i | \(-0.714210\pi\) |
0.164051 | + | 0.986452i | \(0.447544\pi\) | |||||||
\(788\) | −23.8913 | − | 26.5339i | −0.851091 | − | 0.945233i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3.05946 | − | 1.36216i | −0.108851 | − | 0.0484634i | ||||
\(791\) | 5.98345 | 0.212747 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −10.9382 | −0.388426 | ||||||||
\(794\) | −3.05800 | − | 1.36151i | −0.108524 | − | 0.0483181i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −9.67008 | − | 10.7397i | −0.342747 | − | 0.380659i | ||||
\(797\) | −23.8935 | + | 10.6381i | −0.846351 | + | 0.376820i | −0.783642 | − | 0.621212i | \(-0.786641\pi\) |
−0.0627086 | + | 0.998032i | \(0.519974\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −69.6371 | + | 14.8018i | −2.46358 | + | 0.523651i | ||||
\(800\) | −6.67551 | − | 20.5451i | −0.236015 | − | 0.726379i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 12.0908 | 0.426939 | ||||||||
\(803\) | 20.9759 | + | 32.5388i | 0.740223 | + | 1.14827i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.963594 | + | 9.16798i | 0.0339622 | + | 0.323129i | ||||
\(806\) | 0.748559 | + | 0.159111i | 0.0263669 | + | 0.00560445i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.435249 | + | 4.14112i | −0.0153120 | + | 0.145684i | ||||
\(809\) | 12.8256 | + | 9.31836i | 0.450925 | + | 0.327616i | 0.789961 | − | 0.613157i | \(-0.210101\pi\) |
−0.339036 | + | 0.940773i | \(0.610101\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −11.2255 | − | 34.5484i | −0.394179 | − | 1.21316i | −0.929599 | − | 0.368573i | \(-0.879846\pi\) |
0.535420 | − | 0.844586i | \(-0.320154\pi\) | |||||||
\(812\) | −6.02146 | − | 2.68093i | −0.211312 | − | 0.0940820i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.93699 | + | 18.9553i | 0.102941 | + | 0.664383i | ||||
\(815\) | −2.34269 | + | 4.05766i | −0.0820608 | + | 0.142134i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 7.66710 | − | 8.51517i | 0.268238 | − | 0.297908i | ||||
\(818\) | 3.37295 | − | 10.3809i | 0.117932 | − | 0.362958i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −4.11023 | − | 2.98626i | −0.143535 | − | 0.104285i | ||||
\(821\) | −15.9993 | + | 3.40076i | −0.558379 | + | 0.118687i | −0.478452 | − | 0.878113i | \(-0.658802\pi\) |
−0.0799271 | + | 0.996801i | \(0.525469\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.73598 | + | 26.0311i | 0.0953703 | + | 0.907388i | 0.932691 | + | 0.360676i | \(0.117454\pi\) |
−0.837321 | + | 0.546712i | \(0.815879\pi\) | |||||||
\(824\) | 3.17696 | − | 5.50265i | 0.110675 | − | 0.191694i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.08070 | + | 5.33592i | 0.107191 | + | 0.185661i | ||||
\(827\) | 4.48139 | − | 3.25592i | 0.155833 | − | 0.113219i | −0.507136 | − | 0.861866i | \(-0.669296\pi\) |
0.662969 | + | 0.748647i | \(0.269296\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 5.71784 | − | 17.5977i | 0.198589 | − | 0.611194i | −0.801327 | − | 0.598227i | \(-0.795872\pi\) |
0.999916 | − | 0.0129672i | \(-0.00412771\pi\) | |||||||
\(830\) | −0.0373740 | + | 0.355590i | −0.00129727 | + | 0.0123427i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.30816 | + | 1.45286i | 0.0453523 | + | 0.0503688i | ||||
\(833\) | 44.7346 | + | 9.50862i | 1.54996 | + | 0.329454i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −8.84388 | − | 15.3180i | −0.306055 | − | 0.530103i | ||||
\(836\) | 9.42492 | + | 24.8015i | 0.325968 | + | 0.857776i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −9.35505 | + | 6.79684i | −0.323165 | + | 0.234793i | ||||
\(839\) | 12.0211 | − | 13.3508i | 0.415015 | − | 0.460921i | −0.498999 | − | 0.866602i | \(-0.666299\pi\) |
0.914015 | + | 0.405681i | \(0.132966\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.4213 | + | 11.3183i | −0.876595 | + | 0.390285i | ||||
\(842\) | 2.76051 | − | 1.22906i | 0.0951336 | − | 0.0423562i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −4.39146 | + | 4.87721i | −0.151160 | + | 0.167881i | ||||
\(845\) | −5.26509 | + | 3.82531i | −0.181125 | + | 0.131595i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −17.2053 | − | 39.3532i | −0.591182 | − | 1.35219i | ||||
\(848\) | 4.36299 | + | 7.55692i | 0.149826 | + | 0.259506i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −13.5270 | − | 2.87526i | −0.463973 | − | 0.0986206i | ||||
\(851\) | 12.3169 | + | 13.6793i | 0.422218 | + | 0.468921i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −2.91771 | + | 27.7602i | −0.0999006 | + | 0.950490i | 0.823672 | + | 0.567067i | \(0.191922\pi\) |
−0.923573 | + | 0.383424i | \(0.874745\pi\) | |||||||
\(854\) | 3.27389 | − | 10.0760i | 0.112030 | − | 0.344794i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 19.6546 | − | 14.2799i | 0.671781 | − | 0.488077i | ||||
\(857\) | −4.24983 | − | 7.36093i | −0.145172 | − | 0.251445i | 0.784265 | − | 0.620426i | \(-0.213040\pi\) |
−0.929437 | + | 0.368981i | \(0.879707\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −13.9259 | + | 24.1203i | −0.475145 | + | 0.822974i | −0.999595 | − | 0.0284667i | \(-0.990938\pi\) |
0.524450 | + | 0.851441i | \(0.324271\pi\) | |||||||
\(860\) | 0.406165 | + | 3.86440i | 0.0138501 | + | 0.131775i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 8.11267 | − | 1.72440i | 0.276318 | − | 0.0587333i | ||||
\(863\) | 10.9978 | + | 7.99035i | 0.374368 | + | 0.271995i | 0.759020 | − | 0.651067i | \(-0.225678\pi\) |
−0.384652 | + | 0.923062i | \(0.625678\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.898141 | + | 2.76419i | −0.0305377 | + | 0.0939854i | ||||
\(866\) | 12.7515 | − | 14.1620i | 0.433313 | − | 0.481243i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.30897 | − | 2.26720i | 0.0444293 | − | 0.0769538i | ||||
\(869\) | 13.3643 | − | 6.75301i | 0.453354 | − | 0.229080i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −23.8573 | − | 10.6220i | −0.808374 | − | 0.359911i | ||||
\(872\) | −1.72617 | − | 5.31260i | −0.0584555 | − | 0.179907i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −5.83221 | − | 4.23735i | −0.197278 | − | 0.143331i | ||||
\(875\) | 3.98911 | − | 37.9538i | 0.134856 | − | 1.28307i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −35.3874 | − | 7.52182i | −1.19495 | − | 0.253994i | −0.432856 | − | 0.901463i | \(-0.642494\pi\) |
−0.762092 | + | 0.647469i | \(0.775827\pi\) | |||||||
\(878\) | 0.285266 | + | 2.71413i | 0.00962727 | + | 0.0915973i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.34116 | − | 2.07089i | −0.180051 | − | 0.0698098i | ||||
\(881\) | −26.6423 | −0.897601 | −0.448800 | − | 0.893632i | \(-0.648149\pi\) | ||||
−0.448800 | + | 0.893632i | \(0.648149\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.32757 | − | 19.4743i | −0.212940 | − | 0.655361i | −0.999293 | − | 0.0375844i | \(-0.988034\pi\) |
0.786354 | − | 0.617776i | \(-0.211966\pi\) | |||||||
\(884\) | −22.6463 | + | 4.81361i | −0.761676 | + | 0.161899i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 12.8840 | − | 5.73634i | 0.432847 | − | 0.192716i | ||||
\(887\) | 21.4130 | + | 23.7815i | 0.718977 | + | 0.798505i | 0.986275 | − | 0.165109i | \(-0.0527977\pi\) |
−0.267299 | + | 0.963614i | \(0.586131\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 27.2921 | + | 12.1512i | 0.915348 | + | 0.407539i | ||||
\(890\) | 11.9303 | 0.399906 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 10.6911 | 0.357963 | ||||||||
\(893\) | 60.1807 | + | 26.7942i | 2.01387 | + | 0.896633i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.66951 | + | 6.29663i | 0.189511 | + | 0.210473i | ||||
\(896\) | 39.3317 | − | 17.5116i | 1.31398 | − | 0.585022i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 16.8266 | − | 3.57660i | 0.561510 | − | 0.119353i | ||||
\(899\) | 0.143966 | + | 0.443082i | 0.00480153 | + | 0.0147776i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 31.2892 | 1.04239 | ||||||||
\(902\) | −6.21801 | + | 1.64374i | −0.207037 | + | 0.0547307i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.378689 | − | 3.60298i | −0.0125950 | − | 0.119833i | ||||
\(905\) | −2.62154 | − | 0.557225i | −0.0871429 | − | 0.0185228i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.12715 | − | 48.7816i | 0.170244 | − | 1.61977i | −0.492082 | − | 0.870549i | \(-0.663764\pi\) |
0.662326 | − | 0.749216i | \(-0.269569\pi\) | |||||||
\(908\) | −35.4717 | − | 25.7717i | −1.17717 | − | 0.855265i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 2.39689 | + | 7.37687i | 0.0794561 | + | 0.244541i | ||||
\(911\) | 21.3599 | + | 9.51002i | 0.707684 | + | 0.315081i | 0.728829 | − | 0.684695i | \(-0.240065\pi\) |
−0.0211457 | + | 0.999776i | \(0.506731\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.12659 | − | 1.13419i | −0.0372849 | − | 0.0375362i | ||||
\(914\) | 3.42253 | − | 5.92800i | 0.113207 | − | 0.196081i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 14.6376 | − | 16.2567i | 0.483641 | − | 0.537137i | ||||
\(917\) | −6.46615 | + | 19.9008i | −0.213531 | + | 0.657181i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 6.14797 | + | 4.46676i | 0.202803 | + | 0.147345i | 0.684551 | − | 0.728965i | \(-0.259998\pi\) |
−0.481749 | + | 0.876309i | \(0.659998\pi\) | |||||||
\(920\) | 5.45959 | − | 1.16047i | 0.179997 | − | 0.0382596i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.76748 | − | 16.8165i | −0.0582090 | − | 0.553821i | ||||
\(923\) | 8.45857 | − | 14.6507i | 0.278417 | − | 0.482233i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −16.3371 | − | 28.2967i | −0.537160 | − | 0.930389i | ||||
\(926\) | 21.4202 | − | 15.5627i | 0.703910 | − | 0.511421i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.92634 | + | 5.92866i | −0.0632352 | + | 0.194618i | ||||
\(929\) | −1.55504 | + | 14.7953i | −0.0510193 | + | 0.485417i | 0.938942 | + | 0.344076i | \(0.111808\pi\) |
−0.989961 | + | 0.141340i | \(0.954859\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −28.3166 | − | 31.4487i | −0.928038 | − | 1.03069i | ||||
\(932\) | 22.1216 | + | 4.70209i | 0.724618 | + | 0.154022i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −5.77192 | − | 9.99727i | −0.188863 | − | 0.327121i | ||||
\(935\) | −16.0069 | + | 12.8733i | −0.523482 | + | 0.421003i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −14.4192 | + | 10.4762i | −0.471056 | + | 0.342242i | −0.797853 | − | 0.602853i | \(-0.794031\pi\) |
0.326797 | + | 0.945095i | \(0.394031\pi\) | |||||||
\(938\) | 16.9254 | − | 18.7975i | 0.552633 | − | 0.613761i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −20.4082 | + | 9.08632i | −0.665643 | + | 0.296363i | ||||
\(941\) | −38.9710 | + | 17.3510i | −1.27042 | + | 0.565627i | −0.927530 | − | 0.373748i | \(-0.878072\pi\) |
−0.342890 | + | 0.939376i | \(0.611406\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.12989 | + | 4.58671i | −0.134488 | + | 0.149364i | ||||
\(944\) | −2.97257 | + | 2.15970i | −0.0967491 | + | 0.0702923i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.11641 | + | 2.69293i | 0.133836 | + | 0.0875548i | ||||
\(947\) | 3.44670 | + | 5.96986i | 0.112003 | + | 0.193994i | 0.916578 | − | 0.399857i | \(-0.130940\pi\) |
−0.804575 | + | 0.593851i | \(0.797607\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 30.5764 | + | 6.49921i | 0.992551 | + | 0.210973i | ||||
\(950\) | 8.56249 | + | 9.50961i | 0.277804 | + | 0.308533i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 5.35175 | − | 50.9185i | 0.173451 | − | 1.65028i | ||||
\(953\) | 7.31766 | − | 22.5214i | 0.237042 | − | 0.729541i | −0.759802 | − | 0.650155i | \(-0.774704\pi\) |
0.996844 | − | 0.0793863i | \(-0.0252960\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 14.9220 | − | 10.8415i | 0.482866 | − | 0.350822i | ||||
\(956\) | 19.5989 | + | 33.9463i | 0.633874 | + | 1.09790i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −7.27297 | + | 12.5972i | −0.234979 | + | 0.406996i | ||||
\(959\) | −6.82860 | − | 64.9698i | −0.220507 | − | 2.09798i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 30.1416 | − | 6.40679i | 0.972309 | − | 0.206671i | ||||
\(962\) | 12.5301 | + | 9.10366i | 0.403987 | + | 0.293514i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −8.54567 | + | 26.3009i | −0.275238 | + | 0.847094i | ||||
\(965\) | 6.07817 | − | 6.75050i | 0.195663 | − | 0.217306i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 15.5700 | − | 26.9680i | 0.500696 | − | 0.867231i | −0.499303 | − | 0.866427i | \(-0.666411\pi\) |
1.00000 | 0.000804082i | \(-0.000255947\pi\) | ||||||||
\(968\) | −22.6080 | + | 12.8510i | −0.726647 | + | 0.413046i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.43192 | − | 2.41845i | −0.174408 | − | 0.0776516i | ||||
\(971\) | −4.12687 | − | 12.7012i | −0.132438 | − | 0.407601i | 0.862745 | − | 0.505639i | \(-0.168743\pi\) |
−0.995183 | + | 0.0980383i | \(0.968743\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 43.4028 | + | 31.5340i | 1.39143 | + | 1.01093i | ||||
\(974\) | −0.227151 | + | 2.16119i | −0.00727838 | + | 0.0692491i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 6.17991 | + | 1.31358i | 0.197814 | + | 0.0420467i | ||||
\(977\) | −0.931968 | − | 8.86709i | −0.0298163 | − | 0.283683i | −0.999263 | − | 0.0383817i | \(-0.987780\pi\) |
0.969447 | − | 0.245302i | \(-0.0788870\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −33.7079 | + | 41.3411i | −1.07731 | + | 1.32127i | ||||
\(980\) | 14.3508 | 0.458421 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 1.48297 | + | 4.56411i | 0.0473234 | + | 0.145647i | ||||
\(983\) | −16.4901 | + | 3.50509i | −0.525954 | + | 0.111795i | −0.463234 | − | 0.886236i | \(-0.653311\pi\) |
−0.0627203 | + | 0.998031i | \(0.519978\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −23.3673 | + | 10.4038i | −0.744544 | + | 0.331492i | ||||
\(986\) | 2.67029 | + | 2.96565i | 0.0850392 | + | 0.0944456i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 19.5710 | + | 8.71358i | 0.622637 | + | 0.277216i | ||||
\(989\) | 4.72049 | 0.150103 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −33.5356 | −1.06529 | −0.532647 | − | 0.846338i | \(-0.678803\pi\) | ||||
−0.532647 | + | 0.846338i | \(0.678803\pi\) | |||||||
\(992\) | −2.26187 | − | 1.00705i | −0.0718146 | − | 0.0319739i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 10.9641 | + | 12.1769i | 0.347761 | + | 0.386228i | ||||
\(995\) | −9.45801 | + | 4.21098i | −0.299839 | + | 0.133497i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 3.17279 | − | 0.674397i | 0.100483 | − | 0.0213584i | −0.157396 | − | 0.987536i | \(-0.550310\pi\) |
0.257879 | + | 0.966177i | \(0.416976\pi\) | |||||||
\(998\) | 3.04532 | + | 9.37254i | 0.0963980 | + | 0.296682i | ||||
\(999\) | 0 | 0 |
(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 | 297.2.n.b.91.6 | 72 | ||
3.2 | odd | 2 | 99.2.m.b.58.4 | yes | 72 | ||
9.2 | odd | 6 | 99.2.m.b.25.6 | yes | 72 | ||
9.4 | even | 3 | 891.2.f.e.487.4 | 36 | |||
9.5 | odd | 6 | 891.2.f.f.487.6 | 36 | |||
9.7 | even | 3 | inner | 297.2.n.b.289.4 | 72 | ||
11.4 | even | 5 | inner | 297.2.n.b.37.4 | 72 | ||
33.2 | even | 10 | 1089.2.e.o.364.8 | 36 | |||
33.20 | odd | 10 | 1089.2.e.p.364.11 | 36 | |||
33.26 | odd | 10 | 99.2.m.b.4.6 | ✓ | 72 | ||
99.2 | even | 30 | 1089.2.e.o.727.8 | 36 | |||
99.4 | even | 15 | 891.2.f.e.730.4 | 36 | |||
99.13 | odd | 30 | 9801.2.a.cn.1.8 | 18 | |||
99.20 | odd | 30 | 1089.2.e.p.727.11 | 36 | |||
99.31 | even | 15 | 9801.2.a.cp.1.11 | 18 | |||
99.59 | odd | 30 | 891.2.f.f.730.6 | 36 | |||
99.68 | even | 30 | 9801.2.a.co.1.11 | 18 | |||
99.70 | even | 15 | inner | 297.2.n.b.235.6 | 72 | ||
99.86 | odd | 30 | 9801.2.a.cm.1.8 | 18 | |||
99.92 | odd | 30 | 99.2.m.b.70.4 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.4.6 | ✓ | 72 | 33.26 | odd | 10 | ||
99.2.m.b.25.6 | yes | 72 | 9.2 | odd | 6 | ||
99.2.m.b.58.4 | yes | 72 | 3.2 | odd | 2 | ||
99.2.m.b.70.4 | yes | 72 | 99.92 | odd | 30 | ||
297.2.n.b.37.4 | 72 | 11.4 | even | 5 | inner | ||
297.2.n.b.91.6 | 72 | 1.1 | even | 1 | trivial | ||
297.2.n.b.235.6 | 72 | 99.70 | even | 15 | inner | ||
297.2.n.b.289.4 | 72 | 9.7 | even | 3 | inner | ||
891.2.f.e.487.4 | 36 | 9.4 | even | 3 | |||
891.2.f.e.730.4 | 36 | 99.4 | even | 15 | |||
891.2.f.f.487.6 | 36 | 9.5 | odd | 6 | |||
891.2.f.f.730.6 | 36 | 99.59 | odd | 30 | |||
1089.2.e.o.364.8 | 36 | 33.2 | even | 10 | |||
1089.2.e.o.727.8 | 36 | 99.2 | even | 30 | |||
1089.2.e.p.364.11 | 36 | 33.20 | odd | 10 | |||
1089.2.e.p.727.11 | 36 | 99.20 | odd | 30 | |||
9801.2.a.cm.1.8 | 18 | 99.86 | odd | 30 | |||
9801.2.a.cn.1.8 | 18 | 99.13 | odd | 30 | |||
9801.2.a.co.1.11 | 18 | 99.68 | even | 30 | |||
9801.2.a.cp.1.11 | 18 | 99.31 | even | 15 |