Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(257,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.257");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.cc (of order \(18\), degree \(6\), 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: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + 162 x^{7} + 270 x^{6} + 2916 x^{5} - 4374 x^{4} - 729 x^{3} + 19683 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 737.1 | ||
Root | \(1.69944 - 0.334495i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.737 |
Dual form | 912.2.cc.c.641.1 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.08684 | − | 1.34862i | −0.627488 | − | 0.778626i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.343148 | + | 0.408948i | 0.153461 | + | 0.182887i | 0.837297 | − | 0.546748i | \(-0.184134\pi\) |
−0.683837 | + | 0.729635i | \(0.739690\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.716507 | − | 1.24103i | 0.270814 | − | 0.469064i | −0.698256 | − | 0.715848i | \(-0.746040\pi\) |
0.969071 | + | 0.246784i | \(0.0793737\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.637553 | + | 2.93147i | −0.212518 | + | 0.977157i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.25645 | + | 0.725411i | −0.378834 | + | 0.218720i | −0.677311 | − | 0.735697i | \(-0.736855\pi\) |
0.298477 | + | 0.954417i | \(0.403521\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.94737 | + | 0.519701i | 0.817454 | + | 0.144139i | 0.566713 | − | 0.823915i | \(-0.308215\pi\) |
0.250741 | + | 0.968054i | \(0.419326\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.178568 | − | 0.907238i | 0.0461061 | − | 0.234248i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.89590 | − | 5.20894i | 0.459823 | − | 1.26335i | −0.465795 | − | 0.884893i | \(-0.654232\pi\) |
0.925618 | − | 0.378460i | \(-0.123546\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.35653 | + | 0.143752i | 0.999456 | + | 0.0329790i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.45240 | + | 0.382503i | −0.535158 | + | 0.0834690i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.396438 | + | 0.472456i | −0.0826630 | + | 0.0985139i | −0.805791 | − | 0.592200i | \(-0.798259\pi\) |
0.723128 | + | 0.690714i | \(0.242704\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.818753 | − | 4.64338i | 0.163751 | − | 0.928676i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.64636 | − | 2.32623i | 0.894192 | − | 0.447683i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.97822 | + | 1.81193i | −0.924433 | + | 0.336466i | −0.760001 | − | 0.649922i | \(-0.774801\pi\) |
−0.164432 | + | 0.986388i | \(0.552579\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.28601 | + | 2.47453i | 0.769790 | + | 0.444439i | 0.832800 | − | 0.553574i | \(-0.186737\pi\) |
−0.0630096 | + | 0.998013i | \(0.520070\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.34386 | + | 0.906066i | 0.408014 | + | 0.157726i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.753384 | − | 0.132842i | 0.127345 | − | 0.0224544i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 6.41883i | − | 1.05525i | −0.849478 | − | 0.527625i | \(-0.823083\pi\) | ||
0.849478 | − | 0.527625i | \(-0.176917\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.50245 | − | 4.53972i | −0.400712 | − | 0.726937i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.37347 | − | 7.78933i | −0.214500 | − | 1.21649i | −0.881772 | − | 0.471675i | \(-0.843650\pi\) |
0.667273 | − | 0.744814i | \(-0.267462\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.88757 | + | 4.10116i | −0.745348 | + | 0.625421i | −0.934268 | − | 0.356571i | \(-0.883946\pi\) |
0.188920 | + | 0.981992i | \(0.439501\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.41759 | + | 0.745203i | −0.211323 | + | 0.111088i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.37381 | − | 12.0169i | −0.637985 | − | 1.75285i | −0.657963 | − | 0.753050i | \(-0.728582\pi\) |
0.0199780 | − | 0.999800i | \(-0.493640\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.47323 | + | 4.28377i | 0.353319 | + | 0.611967i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −9.08542 | + | 3.10444i | −1.27221 | + | 0.434709i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.41439 | − | 1.18682i | −0.194282 | − | 0.163022i | 0.540458 | − | 0.841371i | \(-0.318251\pi\) |
−0.734739 | + | 0.678349i | \(0.762696\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.727804 | − | 0.264899i | −0.0981370 | − | 0.0357190i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.54099 | − | 6.03154i | −0.601468 | − | 0.798897i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.75650 | + | 0.639313i | 0.228676 | + | 0.0832314i | 0.453817 | − | 0.891095i | \(-0.350062\pi\) |
−0.225141 | + | 0.974326i | \(0.572284\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 9.02625 | + | 7.57392i | 1.15569 | + | 0.969742i | 0.999837 | − | 0.0180382i | \(-0.00574206\pi\) |
0.155856 | + | 0.987780i | \(0.450186\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.18122 | + | 2.89164i | 0.400797 | + | 0.364313i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.798855 | + | 1.38366i | 0.0990857 | + | 0.171622i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.17216 | − | 8.71543i | −0.387541 | − | 1.06476i | −0.968105 | − | 0.250545i | \(-0.919390\pi\) |
0.580564 | − | 0.814215i | \(-0.302832\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.06803 | + | 0.0211592i | 0.128576 | + | 0.00254727i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 9.59384 | − | 8.05019i | 1.13858 | − | 0.955382i | 0.139188 | − | 0.990266i | \(-0.455551\pi\) |
0.999391 | + | 0.0348843i | \(0.0111063\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.80621 | − | 15.9148i | −0.328442 | − | 1.86269i | −0.484294 | − | 0.874905i | \(-0.660923\pi\) |
0.155852 | − | 0.987780i | \(-0.450188\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −7.15201 | + | 3.94243i | −0.825843 | + | 0.455232i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.07905i | 0.236930i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.87896 | − | 1.38927i | 0.886452 | − | 0.156305i | 0.288159 | − | 0.957583i | \(-0.406957\pi\) |
0.598293 | + | 0.801277i | \(0.295846\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.18705 | − | 3.73794i | −0.909673 | − | 0.415326i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −4.29627 | − | 2.48045i | −0.471577 | − | 0.272265i | 0.245323 | − | 0.969442i | \(-0.421106\pi\) |
−0.716900 | + | 0.697176i | \(0.754439\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.78076 | − | 1.01211i | 0.301616 | − | 0.109779i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 7.85414 | + | 4.74446i | 0.842052 | + | 0.508659i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.832120 | + | 4.71919i | −0.0882046 | + | 0.500233i | 0.908414 | + | 0.418071i | \(0.137294\pi\) |
−0.996619 | + | 0.0821621i | \(0.973817\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.75678 | − | 3.28540i | 0.288989 | − | 0.344403i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.32101 | − | 8.46962i | −0.136983 | − | 0.878259i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.43615 | + | 1.83092i | 0.147346 | + | 0.187849i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.83601 | + | 7.79188i | −0.287954 | + | 0.791146i | 0.708399 | + | 0.705812i | \(0.249418\pi\) |
−0.996352 | + | 0.0853335i | \(0.972804\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.32547 | − | 4.14573i | −0.133215 | − | 0.416662i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.10192 | + | 0.546953i | 0.308653 | + | 0.0544238i | 0.325829 | − | 0.945429i | \(-0.394357\pi\) |
−0.0171763 | + | 0.999852i | \(0.505468\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.85438 | − | 5.11208i | 0.872448 | − | 0.503708i | 0.00428731 | − | 0.999991i | \(-0.498635\pi\) |
0.868161 | + | 0.496282i | \(0.165302\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.997962 | − | 0.871651i | −0.0973911 | − | 0.0850644i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −5.80970 | + | 10.0627i | −0.561645 | + | 0.972798i | 0.435708 | + | 0.900088i | \(0.356498\pi\) |
−0.997353 | + | 0.0727101i | \(0.976835\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.0205152 | − | 0.0244490i | −0.00196500 | − | 0.00234179i | 0.765061 | − | 0.643958i | \(-0.222709\pi\) |
−0.767026 | + | 0.641616i | \(0.778264\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −8.65657 | + | 6.97625i | −0.821645 | + | 0.662156i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 10.3475 | 0.973413 | 0.486706 | − | 0.873566i | \(-0.338198\pi\) | ||||
0.486706 | + | 0.873566i | \(0.338198\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.329247 | −0.0307024 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −3.40259 | + | 8.30880i | −0.314570 | + | 0.768149i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −5.10601 | − | 6.08510i | −0.468067 | − | 0.557820i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.44756 | + | 7.70340i | −0.404323 | + | 0.700309i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −9.01210 | + | 10.3180i | −0.812594 | + | 0.930347i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.49147 | − | 2.59315i | 0.401729 | − | 0.231938i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.772141 | + | 0.136149i | 0.0685165 | + | 0.0120813i | 0.207801 | − | 0.978171i | \(-0.433369\pi\) |
−0.139285 | + | 0.990252i | \(0.544480\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 10.8429 | + | 2.13417i | 0.954666 | + | 0.187903i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.93973 | + | 10.8243i | −0.344216 | + | 0.945726i | 0.639941 | + | 0.768424i | \(0.278959\pi\) |
−0.984157 | + | 0.177301i | \(0.943263\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.29988 | − | 5.30357i | 0.286136 | − | 0.459878i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.54570 | + | 1.10188i | 0.219099 | + | 0.0948347i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −8.70595 | + | 10.3754i | −0.743800 | + | 0.886426i | −0.996709 | − | 0.0810638i | \(-0.974168\pi\) |
0.252909 | + | 0.967490i | \(0.418613\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.25656 | − | 7.12628i | 0.106580 | − | 0.604444i | −0.883998 | − | 0.467491i | \(-0.845158\pi\) |
0.990578 | − | 0.136953i | \(-0.0437308\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −11.4526 | + | 18.9591i | −0.964487 | + | 1.59664i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −4.08022 | + | 1.48508i | −0.341205 | + | 0.124188i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.44925 | − | 1.41408i | −0.203399 | − | 0.117433i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.08916 | − | 7.99123i | 0.254790 | − | 0.659105i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −19.4195 | + | 3.42419i | −1.59091 | + | 0.280520i | −0.897831 | − | 0.440341i | \(-0.854858\pi\) |
−0.693079 | + | 0.720861i | \(0.743746\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 4.23079i | − | 0.344297i | −0.985071 | − | 0.172148i | \(-0.944929\pi\) | ||
0.985071 | − | 0.172148i | \(-0.0550709\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 14.0611 | + | 8.87874i | 1.13677 | + | 0.717804i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.458783 | + | 2.60189i | 0.0368503 | + | 0.208989i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.78482 | − | 6.53224i | 0.621296 | − | 0.521330i | −0.276914 | − | 0.960895i | \(-0.589312\pi\) |
0.898211 | + | 0.439565i | \(0.144867\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.0633444 | + | 3.19736i | −0.00502354 | + | 0.253567i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.302280 | + | 0.830508i | 0.0238230 | + | 0.0654532i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.20216 | + | 9.01041i | 0.407465 | + | 0.705750i | 0.994605 | − | 0.103735i | \(-0.0330795\pi\) |
−0.587140 | + | 0.809485i | \(0.699746\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.433759 | + | 1.26943i | 0.0337681 | + | 0.0988253i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 18.2265 | + | 15.2939i | 1.41041 | + | 1.18347i | 0.956249 | + | 0.292555i | \(0.0945056\pi\) |
0.454162 | + | 0.890919i | \(0.349939\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.79909 | − | 1.38276i | −0.292238 | − | 0.106366i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.19892 | + | 12.6794i | −0.244628 | + | 0.969617i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 23.5435 | + | 8.56912i | 1.78998 | + | 0.651498i | 0.999225 | + | 0.0393612i | \(0.0125323\pi\) |
0.790752 | + | 0.612137i | \(0.209690\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.17592 | − | 4.34311i | −0.391263 | − | 0.328308i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.04684 | − | 3.06368i | −0.0786856 | − | 0.230280i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 7.77173 | + | 13.4610i | 0.580886 | + | 1.00612i | 0.995375 | + | 0.0960699i | \(0.0306272\pi\) |
−0.414488 | + | 0.910055i | \(0.636039\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.17064 | + | 19.7012i | 0.532990 | + | 1.46438i | 0.855496 | + | 0.517810i | \(0.173252\pi\) |
−0.322506 | + | 0.946567i | \(0.604525\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.404246 | − | 20.4046i | 0.0298827 | − | 1.50835i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.62497 | − | 2.20261i | 0.192992 | − | 0.161939i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.39652 | + | 7.92007i | 0.102124 | + | 0.579173i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.442240 | − | 7.43302i | 0.0321682 | − | 0.540673i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 1.59398i | − | 0.115336i | −0.998336 | − | 0.0576682i | \(-0.981633\pi\) | ||
0.998336 | − | 0.0576682i | \(-0.0183665\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.28991 | − | 0.756427i | 0.308795 | − | 0.0544488i | −0.0171035 | − | 0.999854i | \(-0.505444\pi\) |
0.325898 | + | 0.945405i | \(0.394333\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.997799 | − | 2.58117i | 0.0714539 | − | 0.184841i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −5.69700 | − | 3.28916i | −0.405894 | − | 0.234343i | 0.283130 | − | 0.959082i | \(-0.408627\pi\) |
−0.689024 | + | 0.724738i | \(0.741961\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.2412 | + | 3.72750i | −0.725981 | + | 0.264235i | −0.678463 | − | 0.734635i | \(-0.737353\pi\) |
−0.0475182 | + | 0.998870i | \(0.515131\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −8.30618 | + | 13.7503i | −0.585873 | + | 0.969873i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −1.31829 | + | 7.47637i | −0.0925255 | + | 0.524738i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.71413 | − | 3.23457i | 0.189563 | − | 0.225912i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −1.13224 | − | 1.46336i | −0.0786962 | − | 0.101711i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −5.57803 | + | 2.97966i | −0.385841 | + | 0.206107i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.58901 | − | 7.11324i | 0.178235 | − | 0.489695i | −0.818116 | − | 0.575054i | \(-0.804981\pi\) |
0.996350 | + | 0.0853581i | \(0.0272034\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −21.2836 | − | 4.18917i | −1.45833 | − | 0.287037i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.35432 | − | 0.591458i | −0.228763 | − | 0.0403371i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.14192 | − | 3.54604i | 0.416940 | − | 0.240721i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −18.4131 | + | 21.0814i | −1.24424 | + | 1.42455i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 8.29501 | − | 14.3674i | 0.557983 | − | 0.966454i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.40150 | + | 8.82076i | 0.495641 | + | 0.590682i | 0.954643 | − | 0.297753i | \(-0.0962373\pi\) |
−0.459002 | + | 0.888435i | \(0.651793\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 13.0899 | + | 5.36055i | 0.872662 | + | 0.357370i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1.54291 | −0.102407 | −0.0512033 | − | 0.998688i | \(-0.516306\pi\) | ||||
−0.0512033 | + | 0.998688i | \(0.516306\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.17334 | −0.540110 | −0.270055 | − | 0.962845i | \(-0.587042\pi\) | ||||
−0.270055 | + | 0.962845i | \(0.587042\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.80385 | − | 2.25960i | 0.184480 | − | 0.148671i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 5.39612 | + | 6.43084i | 0.353511 | + | 0.421298i | 0.913268 | − | 0.407358i | \(-0.133550\pi\) |
−0.559757 | + | 0.828657i | \(0.689106\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.41344 | − | 5.91225i | 0.222668 | − | 0.385673i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −10.4368 | − | 9.11581i | −0.677942 | − | 0.592135i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 7.60840 | − | 4.39271i | 0.492147 | − | 0.284141i | −0.233318 | − | 0.972401i | \(-0.574958\pi\) |
0.725465 | + | 0.688260i | \(0.241625\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −13.2349 | − | 2.33367i | −0.852536 | − | 0.150325i | −0.269730 | − | 0.962936i | \(-0.586934\pi\) |
−0.582806 | + | 0.812611i | \(0.698045\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 3.85697 | + | 15.1038i | 0.247425 | + | 0.968907i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.903153 | + | 2.48139i | −0.0577003 | + | 0.158530i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 12.7656 | + | 2.68778i | 0.812256 | + | 0.171020i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.32418 | + | 8.48990i | 0.0839162 | + | 0.538026i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −5.05003 | + | 6.01839i | −0.318755 | + | 0.379877i | −0.901501 | − | 0.432777i | \(-0.857534\pi\) |
0.582746 | + | 0.812654i | \(0.301978\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.155379 | − | 0.881197i | 0.00976858 | − | 0.0554004i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −4.38720 | − | 2.65018i | −0.274737 | − | 0.165961i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −11.5445 | + | 4.20184i | −0.720123 | + | 0.262103i | −0.675978 | − | 0.736922i | \(-0.736279\pi\) |
−0.0441451 | + | 0.999025i | \(0.514056\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.96595 | − | 4.59914i | −0.494980 | − | 0.285777i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.13773 | − | 15.7487i | −0.132322 | − | 0.974821i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 23.4707 | − | 4.13852i | 1.44727 | − | 0.255192i | 0.605849 | − | 0.795579i | \(-0.292833\pi\) |
0.841416 | + | 0.540387i | \(0.181722\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 0.985668i | − | 0.0605491i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 7.26877 | − | 4.00679i | 0.444842 | − | 0.245212i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −3.30229 | − | 18.7282i | −0.201344 | − | 1.14188i | −0.903090 | − | 0.429452i | \(-0.858707\pi\) |
0.701745 | − | 0.712428i | \(-0.252404\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.13554 | + | 3.47013i | −0.251216 | + | 0.210795i | −0.759696 | − | 0.650279i | \(-0.774652\pi\) |
0.508480 | + | 0.861074i | \(0.330208\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −7.42693 | − | 0.147138i | −0.449499 | − | 0.00890522i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.33964 | + | 6.42810i | 0.141085 | + | 0.387629i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.0466956 | + | 0.0808791i | 0.00280567 | + | 0.00485956i | 0.867425 | − | 0.497568i | \(-0.165774\pi\) |
−0.864619 | + | 0.502428i | \(0.832440\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −9.98657 | + | 10.9867i | −0.597880 | + | 0.657755i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7.81505 | + | 6.55760i | 0.466207 | + | 0.391194i | 0.845409 | − | 0.534120i | \(-0.179357\pi\) |
−0.379202 | + | 0.925314i | \(0.623801\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −18.1732 | − | 6.61449i | −1.08028 | − | 0.393190i | −0.260269 | − | 0.965536i | \(-0.583811\pi\) |
−0.820013 | + | 0.572346i | \(0.806034\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.908354 | − | 3.92674i | 0.0538063 | − | 0.232600i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −10.6509 | − | 3.87660i | −0.628701 | − | 0.228828i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.5158 | − | 8.82384i | −0.618579 | − | 0.519049i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 13.5906 | − | 4.64383i | 0.796694 | − | 0.272226i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 8.09268 | + | 14.0169i | 0.472780 | + | 0.818878i | 0.999515 | − | 0.0311512i | \(-0.00991734\pi\) |
−0.526735 | + | 0.850030i | \(0.676584\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.341293 | + | 0.937695i | 0.0198709 | + | 0.0545947i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −4.15044 | + | 6.29331i | −0.240833 | + | 0.365175i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1.41399 | + | 1.18647i | −0.0817729 | + | 0.0686156i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.58767 | + | 9.00413i | 0.0915118 | + | 0.518989i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −2.63367 | − | 4.77777i | −0.151300 | − | 0.274476i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 6.29025i | 0.360179i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −17.5661 | + | 3.09738i | −1.00255 | + | 0.176777i | −0.650745 | − | 0.759296i | \(-0.725543\pi\) |
−0.351806 | + | 0.936073i | \(0.614432\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −16.5176 | − | 6.38518i | −0.939651 | − | 0.363240i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −28.3493 | − | 16.3675i | −1.60754 | − | 0.928114i | −0.989918 | − | 0.141639i | \(-0.954763\pi\) |
−0.617622 | − | 0.786475i | \(-0.711904\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −24.8285 | + | 9.03684i | −1.40339 | + | 0.510792i | −0.929183 | − | 0.369621i | \(-0.879488\pi\) |
−0.474208 | + | 0.880413i | \(0.657265\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.0908997 | + | 2.29322i | −0.00512162 | + | 0.129208i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.32840 | + | 13.2050i | −0.130776 | + | 0.741669i | 0.846932 | + | 0.531701i | \(0.178447\pi\) |
−0.977708 | + | 0.209968i | \(0.932664\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.94049 | − | 5.88785i | 0.276614 | − | 0.329656i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 19.8850 | − | 3.10148i | 1.10987 | − | 0.173107i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 9.00833 | − | 22.4203i | 0.501237 | − | 1.24750i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.82634 | − | 13.2603i | 0.267717 | − | 0.735547i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −0.0106757 | + | 0.0542394i | −0.000590369 | + | 0.00299945i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −18.0472 | − | 3.18221i | −0.994975 | − | 0.175441i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −21.6450 | + | 12.4967i | −1.18971 | + | 0.686882i | −0.958242 | − | 0.285959i | \(-0.907688\pi\) |
−0.231473 | + | 0.972841i | \(0.574355\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 18.8166 | + | 4.09234i | 1.03114 | + | 0.224259i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 2.47564 | − | 4.28793i | 0.135259 | − | 0.234275i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.7174 | + | 12.7725i | 0.583815 | + | 0.695764i | 0.974405 | − | 0.224801i | \(-0.0721732\pi\) |
−0.390589 | + | 0.920565i | \(0.627729\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −11.2461 | − | 13.9549i | −0.610805 | − | 0.757925i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −7.18020 | −0.388830 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.1195 | 0.924364 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.357839 | + | 0.444029i | 0.0192654 | + | 0.0239057i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −23.0175 | − | 27.4312i | −1.23564 | − | 1.47258i | −0.829244 | − | 0.558886i | \(-0.811229\pi\) |
−0.406399 | − | 0.913696i | \(-0.633216\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 9.77902 | − | 16.9378i | 0.523459 | − | 0.906657i | −0.476168 | − | 0.879354i | \(-0.657975\pi\) |
0.999627 | − | 0.0273031i | \(-0.00869193\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 14.9035 | − | 4.44154i | 0.795490 | − | 0.237072i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 27.9356 | − | 16.1286i | 1.48686 | − | 0.858441i | 0.486976 | − | 0.873416i | \(-0.338100\pi\) |
0.999888 | + | 0.0149745i | \(0.00476672\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.58422 | + | 1.16098i | 0.349454 | + | 0.0616182i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −2.65707 | + | 13.4996i | −0.140627 | + | 0.714475i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 5.99057 | − | 16.4590i | 0.316170 | − | 0.868671i | −0.675206 | − | 0.737629i | \(-0.735945\pi\) |
0.991377 | − | 0.131042i | \(-0.0418323\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.9587 | + | 1.25252i | 0.997825 | + | 0.0659220i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 15.2227 | − | 2.37430i | 0.798987 | − | 0.124619i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.54538 | − | 6.60873i | 0.290258 | − | 0.345917i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.59236 | + | 20.3733i | −0.187520 | + | 1.06348i | 0.735155 | + | 0.677899i | \(0.237109\pi\) |
−0.922675 | + | 0.385578i | \(0.874002\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 23.7099 | + | 0.939823i | 1.23429 | + | 0.0489252i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.48630 | + | 0.904938i | −0.129082 | + | 0.0469820i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.46819 | + | 1.42501i | 0.127798 | + | 0.0737843i | 0.562536 | − | 0.826773i | \(-0.309826\pi\) |
−0.434738 | + | 0.900557i | \(0.643159\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −8.37868 | − | 3.23894i | −0.432673 | − | 0.167258i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −15.6143 | + | 2.75323i | −0.804179 | + | 0.141798i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 15.1648i | − | 0.778963i | −0.921034 | − | 0.389482i | \(-0.872654\pi\) | ||
0.921034 | − | 0.389482i | \(-0.127346\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.655581 | − | 1.18930i | −0.0335864 | − | 0.0609296i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −0.366876 | − | 2.08066i | −0.0187465 | − | 0.106317i | 0.973999 | − | 0.226553i | \(-0.0727458\pi\) |
−0.992745 | + | 0.120237i | \(0.961635\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.850223 | + | 0.713422i | −0.0433314 | + | 0.0363594i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −8.90635 | − | 16.9425i | −0.452735 | − | 0.861235i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 1.43738 | + | 3.94918i | 0.0728783 | + | 0.200231i | 0.970783 | − | 0.239958i | \(-0.0771336\pi\) |
−0.897905 | + | 0.440189i | \(0.854911\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.70939 | + | 2.96075i | 0.0864475 | + | 0.149731i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 18.8798 | − | 6.45112i | 0.952358 | − | 0.325416i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 3.27179 | + | 2.74536i | 0.164622 | + | 0.138134i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.284948 | + | 0.103713i | 0.0143011 | + | 0.00520518i | 0.349161 | − | 0.937063i | \(-0.386467\pi\) |
−0.334860 | + | 0.942268i | \(0.608689\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −10.7390 | + | 1.31385i | −0.537620 | + | 0.0657747i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 11.8640 | + | 4.31814i | 0.592460 | + | 0.215638i | 0.620811 | − | 0.783960i | \(-0.286803\pi\) |
−0.0283512 | + | 0.999598i | \(0.509026\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 11.3464 | + | 9.52080i | 0.565207 | + | 0.474265i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.28075 | − | 4.63075i | −0.0636410 | − | 0.230104i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 4.65629 | + | 8.06493i | 0.230804 | + | 0.399764i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.63505 | − | 18.2296i | −0.328082 | − | 0.901398i | −0.988597 | − | 0.150585i | \(-0.951884\pi\) |
0.660515 | − | 0.750813i | \(-0.270338\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 23.4544 | + | 0.464666i | 1.15692 | + | 0.0229203i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 2.05195 | − | 1.72179i | 0.100970 | − | 0.0847237i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.459881 | − | 2.60812i | −0.0225747 | − | 0.128027i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −10.9763 | + | 6.05052i | −0.537513 | + | 0.296295i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 15.4879i | 0.756633i | 0.925676 | + | 0.378316i | \(0.123497\pi\) | ||||
−0.925676 | + | 0.378316i | \(0.876503\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.7766 | − | 2.42919i | 0.671431 | − | 0.118391i | 0.172468 | − | 0.985015i | \(-0.444826\pi\) |
0.498962 | + | 0.866624i | \(0.333715\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 38.0158 | − | 5.16026i | 1.84839 | − | 0.250901i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −22.6348 | − | 13.0682i | −1.09795 | − | 0.633901i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 15.8668 | − | 5.77505i | 0.767849 | − | 0.279474i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 6.43736 | + | 3.88862i | 0.310798 | + | 0.187744i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −4.86245 | + | 27.5763i | −0.234216 | + | 1.32831i | 0.610042 | + | 0.792369i | \(0.291152\pi\) |
−0.844258 | + | 0.535936i | \(0.819959\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −3.78152 | + | 4.50664i | −0.181728 | + | 0.216575i | −0.849216 | − | 0.528045i | \(-0.822925\pi\) |
0.667488 | + | 0.744621i | \(0.267370\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.754896 | + | 4.83999i | 0.0361945 | + | 0.232060i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.79501 | + | 2.00128i | −0.0858669 | + | 0.0957342i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.65568 | + | 21.0338i | −0.365386 | + | 1.00389i | 0.611709 | + | 0.791083i | \(0.290482\pi\) |
−0.977094 | + | 0.212806i | \(0.931740\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −14.1346 | + | 4.51909i | −0.673074 | + | 0.215195i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 14.6859 | + | 2.58952i | 0.697748 | + | 0.123032i | 0.511261 | − | 0.859426i | \(-0.329179\pi\) |
0.186487 | + | 0.982457i | \(0.440290\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.21544 | + | 1.27909i | −0.105022 | + | 0.0606345i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 25.7239 | + | 22.4680i | 1.21670 | + | 1.06270i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 2.44541 | − | 4.23557i | 0.115406 | − | 0.199889i | −0.802536 | − | 0.596604i | \(-0.796516\pi\) |
0.917942 | + | 0.396715i | \(0.129850\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.37616 | + | 8.79056i | 0.347330 | + | 0.413931i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −5.70573 | + | 4.59820i | −0.268078 | + | 0.216042i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 2.28954 | 0.107335 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −30.3578 | −1.42008 | −0.710039 | − | 0.704162i | \(-0.751323\pi\) | ||||
−0.710039 | + | 0.704162i | \(0.751323\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −3.30815 | − | 28.6129i | −0.154411 | − | 1.33554i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −16.0576 | − | 19.1367i | −0.747879 | − | 0.891287i | 0.249138 | − | 0.968468i | \(-0.419853\pi\) |
−0.997017 | + | 0.0771808i | \(0.975408\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.94958 | − | 5.10883i | 0.137079 | − | 0.237427i | −0.789311 | − | 0.613994i | \(-0.789562\pi\) |
0.926390 | + | 0.376566i | \(0.122895\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 3.01033 | − | 3.44656i | 0.139601 | − | 0.159830i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 4.76849 | − | 2.75309i | 0.220659 | − | 0.127398i | −0.385596 | − | 0.922668i | \(-0.626004\pi\) |
0.606256 | + | 0.795270i | \(0.292671\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.0890 | − | 2.30794i | −0.604392 | − | 0.106571i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −17.2704 | − | 3.39926i | −0.795777 | − | 0.156630i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.16596 | − | 8.69840i | 0.145571 | − | 0.399953i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.23442 | − | 20.1113i | 0.194288 | − | 0.922770i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.38087 | − | 3.38960i | 0.200586 | − | 0.155199i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −21.4896 | + | 25.6103i | −0.981884 | + | 1.17016i | 0.00353081 | + | 0.999994i | \(0.498876\pi\) |
−0.985415 | + | 0.170170i | \(0.945568\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.33588 | − | 18.9187i | 0.152103 | − | 0.862618i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.791510 | − | 1.31029i | 0.0360149 | − | 0.0596204i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −4.15965 | + | 1.51399i | −0.188880 | + | 0.0687467i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −21.9456 | − | 12.6703i | −0.994448 | − | 0.574145i | −0.0878470 | − | 0.996134i | \(-0.527999\pi\) |
−0.906601 | + | 0.421989i | \(0.861332\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 6.49770 | − | 16.8086i | 0.293836 | − | 0.760112i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 7.76474 | − | 1.36913i | 0.350418 | − | 0.0617881i | 0.00433112 | − | 0.999991i | \(-0.498621\pi\) |
0.346087 | + | 0.938202i | \(0.387510\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 29.3665i | 1.32260i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1.24056 | − | 1.96465i | 0.0557589 | − | 0.0883044i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.11645 | − | 17.6742i | −0.139792 | − | 0.792798i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.89069 | − | 8.29927i | 0.442768 | − | 0.371526i | −0.393976 | − | 0.919121i | \(-0.628901\pi\) |
0.836744 | + | 0.547594i | \(0.184456\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.816285 | − | 41.2026i | 0.0364689 | − | 1.84080i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −2.85952 | − | 7.85647i | −0.127500 | − | 0.350303i | 0.859475 | − | 0.511178i | \(-0.170791\pi\) |
−0.986975 | + | 0.160875i | \(0.948568\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.840744 | + | 1.45621i | 0.0374126 | + | 0.0648006i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.26420 | + | 6.62637i | 0.100556 | + | 0.294287i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 5.11088 | + | 4.28853i | 0.226536 | + | 0.190086i | 0.748990 | − | 0.662581i | \(-0.230539\pi\) |
−0.522454 | + | 0.852667i | \(0.674984\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −21.7614 | − | 7.92049i | −0.962666 | − | 0.350382i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 20.5764 | − | 9.46635i | 0.908470 | − | 0.417950i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 5.12894 | + | 1.86678i | 0.226008 | + | 0.0822603i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 14.2127 | + | 11.9259i | 0.625073 | + | 0.524499i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −14.0315 | − | 41.0645i | −0.615915 | − | 1.80253i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 7.75609 | + | 13.4339i | 0.339800 | + | 0.588552i | 0.984395 | − | 0.175973i | \(-0.0563071\pi\) |
−0.644595 | + | 0.764525i | \(0.722974\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.60779 | + | 20.9022i | 0.332666 | + | 0.913991i | 0.987416 | + | 0.158146i | \(0.0505516\pi\) |
−0.654750 | + | 0.755845i | \(0.727226\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.231806 | + | 11.7006i | −0.0101169 | + | 0.510657i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 21.0155 | − | 17.6341i | 0.915450 | − | 0.768154i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.92786 | + | 22.2760i | 0.170776 | + | 0.968521i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −2.99399 | + | 4.74153i | −0.129928 | + | 0.205765i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 23.6718i | − | 1.02534i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.10871 | + | 1.07713i | −0.264103 | + | 0.0465684i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 9.70718 | − | 25.1111i | 0.418896 | − | 1.08362i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −6.21498 | − | 3.58822i | −0.267698 | − | 0.154556i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.24376 | − | 2.63651i | 0.311433 | − | 0.113352i | −0.181575 | − | 0.983377i | \(-0.558119\pi\) |
0.493008 | + | 0.870025i | \(0.335897\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 18.7761 | − | 31.0825i | 0.805758 | − | 1.33388i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.00295864 | − | 0.0167793i | 0.000126734 | − | 0.000718746i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.1301 | + | 21.6066i | −0.775188 | + | 0.923833i | −0.998705 | − | 0.0508673i | \(-0.983801\pi\) |
0.223518 | + | 0.974700i | \(0.428246\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −27.9575 | + | 21.6314i | −1.19320 | + | 0.923207i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −21.9482 | + | 7.17807i | −0.935026 | + | 0.305796i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.92121 | − | 10.7734i | 0.166747 | − | 0.458133i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −5.82341 | − | 1.14620i | −0.247190 | − | 0.0486534i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 30.7949 | + | 5.42997i | 1.30482 | + | 0.230075i | 0.782487 | − | 0.622666i | \(-0.213951\pi\) |
0.522333 | + | 0.852741i | \(0.325062\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −16.5369 | + | 9.54757i | −0.699435 | + | 0.403819i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 9.16337 | − | 10.4912i | 0.386878 | − | 0.442940i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 4.37942 | − | 7.58538i | 0.184571 | − | 0.319686i | −0.758861 | − | 0.651252i | \(-0.774244\pi\) |
0.943432 | + | 0.331567i | \(0.107577\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.55073 | + | 4.23160i | 0.149380 | + | 0.178025i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −10.5050 | + | 7.48210i | −0.441167 | + | 0.314219i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −39.4950 | −1.65572 | −0.827859 | − | 0.560936i | \(-0.810441\pi\) | ||||
−0.827859 | + | 0.560936i | \(0.810441\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.49689 | 0.0626431 | 0.0313215 | − | 0.999509i | \(-0.490028\pi\) | ||||
0.0313215 | + | 0.999509i | \(0.490028\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −2.14967 | + | 1.73240i | −0.0898039 | + | 0.0723722i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.86921 | + | 2.22764i | 0.0779514 | + | 0.0928988i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.32793 | + | 9.22825i | −0.221805 | + | 0.384177i | −0.955356 | − | 0.295457i | \(-0.904528\pi\) |
0.733551 | + | 0.679634i | \(0.237861\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −5.68259 | − | 4.96335i | −0.236160 | − | 0.206270i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −6.15662 | + | 3.55453i | −0.255420 | + | 0.147467i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.63804 | + | 0.465158i | 0.109257 | + | 0.0192649i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −4.56546 | + | 1.45967i | −0.188759 | + | 0.0603497i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −0.0214414 | + | 0.0589098i | −0.000884983 | + | 0.00243147i | −0.940134 | − | 0.340804i | \(-0.889301\pi\) |
0.939249 | + | 0.343236i | \(0.111523\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 18.3164 | + | 11.3965i | 0.754714 | + | 0.469584i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 1.75590 | + | 11.2579i | 0.0722280 | + | 0.463087i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 10.0616 | − | 11.9910i | 0.413181 | − | 0.492409i | −0.518811 | − | 0.854889i | \(-0.673625\pi\) |
0.931992 | + | 0.362479i | \(0.118070\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.736374 | − | 4.17618i | 0.0301884 | − | 0.171207i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 16.1576 | + | 9.76032i | 0.661285 | + | 0.399463i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 2.10138 | − | 0.764839i | 0.0858600 | − | 0.0312505i | −0.298733 | − | 0.954337i | \(-0.596564\pi\) |
0.384593 | + | 0.923086i | \(0.374342\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −16.1749 | − | 9.33861i | −0.659790 | − | 0.380930i | 0.132407 | − | 0.991195i | \(-0.457729\pi\) |
−0.792197 | + | 0.610266i | \(0.791063\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 27.5715 | − | 3.74254i | 1.12280 | − | 0.152408i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −4.67646 | + | 0.824586i | −0.190125 | + | 0.0335242i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 43.2872i | − | 1.75697i | −0.477766 | − | 0.878487i | \(-0.658553\pi\) | ||
0.477766 | − | 0.878487i | \(-0.341447\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 11.5155 | − | 6.34776i | 0.466634 | − | 0.257224i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −6.64602 | − | 37.6915i | −0.268869 | − | 1.52483i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.84929 | + | 5.74724i | −0.276640 | + | 0.232129i | −0.770542 | − | 0.637389i | \(-0.780015\pi\) |
0.493902 | + | 0.869518i | \(0.335570\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −7.31203 | − | 0.144862i | −0.294850 | − | 0.00584140i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.89796 | + | 24.4469i | 0.358218 | + | 0.984197i | 0.979647 | + | 0.200726i | \(0.0643302\pi\) |
−0.621429 | + | 0.783470i | \(0.713448\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.72654 | + | 16.8469i | 0.390943 | + | 0.677133i | 0.992574 | − | 0.121641i | \(-0.0388157\pi\) |
−0.601631 | + | 0.798774i | \(0.705482\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.742952 | + | 3.11741i | −0.0298136 | + | 0.125097i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 5.26042 | + | 4.41402i | 0.210754 | + | 0.176844i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.5516 | − | 7.11620i | −0.782064 | − | 0.284648i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 10.0809 | + | 4.28423i | 0.402591 | + | 0.171096i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −33.4353 | − | 12.1695i | −1.33315 | − | 0.485228i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 11.6007 | + | 9.73414i | 0.461816 | + | 0.387510i | 0.843799 | − | 0.536660i | \(-0.180314\pi\) |
−0.381982 | + | 0.924170i | \(0.624759\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −12.4069 | + | 4.23937i | −0.493130 | + | 0.168500i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.209281 | + | 0.362485i | 0.00830506 | + | 0.0143848i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.06326 | + | 13.9112i | 0.200614 | + | 0.551182i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 17.4823 | + | 33.2565i | 0.691590 | + | 1.31561i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 28.6682 | − | 24.0555i | 1.13233 | − | 0.950135i | 0.133166 | − | 0.991094i | \(-0.457486\pi\) |
0.999161 | + | 0.0409586i | \(0.0130412\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.81700 | − | 10.3047i | −0.0716554 | − | 0.406378i | −0.999446 | − | 0.0332769i | \(-0.989406\pi\) |
0.927791 | − | 0.373101i | \(-0.121705\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 2.84797 | + | 5.16653i | 0.112139 | + | 0.203432i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 15.2706i | 0.600348i | 0.953884 | + | 0.300174i | \(0.0970448\pi\) | ||||
−0.953884 | + | 0.300174i | \(0.902955\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.67071 | + | 0.470919i | −0.104835 | + | 0.0184852i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −11.4575 | − | 4.42913i | −0.449057 | − | 0.173591i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 2.32583 | + | 1.34282i | 0.0910168 | + | 0.0525486i | 0.544818 | − | 0.838555i | \(-0.316599\pi\) |
−0.453801 | + | 0.891103i | \(0.649932\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −5.77850 | + | 2.10320i | −0.225785 | + | 0.0821789i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 48.4429 | + | 1.92020i | 1.88994 | + | 0.0749142i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 5.97002 | − | 33.8577i | 0.232559 | − | 1.31891i | −0.615134 | − | 0.788422i | \(-0.710898\pi\) |
0.847694 | − | 0.530486i | \(-0.177991\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 11.2236 | − | 13.3757i | 0.436546 | − | 0.520256i | −0.502253 | − | 0.864721i | \(-0.667495\pi\) |
0.938799 | + | 0.344465i | \(0.111940\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −28.3915 | + | 4.42824i | −1.10263 | + | 0.171979i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3.30123 | − | 0.470429i | 0.128016 | − | 0.0182425i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.11750 | − | 3.07031i | 0.0432698 | − | 0.118883i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 3.85160 | − | 19.5686i | 0.148912 | − | 0.756565i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −16.8352 | − | 2.96851i | −0.649917 | − | 0.114598i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −38.2505 | + | 22.0839i | −1.47445 | + | 0.851273i | −0.999586 | − | 0.0287864i | \(-0.990836\pi\) |
−0.474863 | + | 0.880060i | \(0.657502\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −6.99733 | − | 23.4794i | −0.269328 | − | 0.903723i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 9.28464 | − | 16.0815i | 0.356838 | − | 0.618061i | −0.630593 | − | 0.776114i | \(-0.717188\pi\) |
0.987431 | + | 0.158053i | \(0.0505216\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 7.63791 | + | 9.10251i | 0.293116 | + | 0.349322i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.67690 | + | 2.08080i | 0.0642589 | + | 0.0797364i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −18.9873 | −0.726527 | −0.363264 | − | 0.931686i | \(-0.618338\pi\) | ||||
−0.363264 | + | 0.931686i | \(0.618338\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −7.23041 | −0.276260 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 8.88312 | + | 11.0227i | 0.338912 | + | 0.420544i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −3.55195 | − | 4.23305i | −0.135319 | − | 0.161266i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.53839 | + | 13.0569i | −0.286774 | + | 0.496707i | −0.973038 | − | 0.230646i | \(-0.925916\pi\) |
0.686264 | + | 0.727352i | \(0.259249\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −6.09467 | − | 1.32550i | −0.231518 | − | 0.0503517i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 3.34547 | − | 1.93151i | 0.126901 | − | 0.0732662i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −43.1781 | − | 7.61346i | −1.63549 | − | 0.288380i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 2.80804 | − | 14.2666i | 0.106210 | − | 0.539613i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −4.16179 | + | 11.4344i | −0.157189 | + | 0.431872i | −0.993140 | − | 0.116931i | \(-0.962694\pi\) |
0.835951 | + | 0.548804i | \(0.184917\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.922720 | − | 27.9638i | 0.0348010 | − | 1.05468i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −11.6832 | + | 1.82224i | −0.440017 | + | 0.0686297i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 2.90133 | − | 3.45768i | 0.109116 | − | 0.130039i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.71310 | + | 38.0719i | −0.252116 | + | 1.42982i | 0.551253 | + | 0.834338i | \(0.314150\pi\) |
−0.803369 | + | 0.595481i | \(0.796961\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.950637 | + | 23.9827i | −0.0356517 | + | 0.899421i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −2.86824 | + | 1.04395i | −0.107417 | + | 0.0390964i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.00744 | − | 1.15900i | −0.0750740 | − | 0.0433440i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −14.1932 | − | 5.48666i | −0.530056 | − | 0.204903i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −26.0696 | + | 4.59678i | −0.972233 | + | 0.171431i | −0.637135 | − | 0.770752i | \(-0.719881\pi\) |
−0.335098 | + | 0.942183i | \(0.608769\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 14.6514i | − | 0.545646i | ||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 11.2370 | + | 20.3852i | 0.417909 | + | 0.758134i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 4.33752 | + | 24.5993i | 0.161091 | + | 0.913595i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −23.0429 | + | 19.3353i | −0.854614 | + | 0.717107i | −0.960801 | − | 0.277240i | \(-0.910580\pi\) |
0.106187 | + | 0.994346i | \(0.466136\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 16.1773 | − | 21.6170i | 0.599160 | − | 0.800629i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 12.0964 | + | 33.2345i | 0.447400 | + | 1.22922i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.85445 | + | 8.40816i | 0.179303 | + | 0.310563i | 0.941642 | − | 0.336616i | \(-0.109282\pi\) |
−0.762339 | + | 0.647178i | \(0.775949\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 4.32804 | − | 1.47887i | 0.159642 | − | 0.0545489i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 10.3079 | + | 8.64938i | 0.379697 | + | 0.318604i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 46.3353 | + | 16.8647i | 1.70447 | + | 0.620377i | 0.996322 | − | 0.0856846i | \(-0.0273078\pi\) |
0.708150 | + | 0.706062i | \(0.249530\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −10.2494 | − | 20.1371i | −0.376520 | − | 0.739756i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 6.36036 | + | 2.31498i | 0.233339 | + | 0.0849285i | 0.456043 | − | 0.889958i | \(-0.349266\pi\) |
−0.222704 | + | 0.974886i | \(0.571488\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −8.06409 | − | 6.76658i | −0.295445 | − | 0.247908i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 10.0105 | − | 11.0130i | 0.366264 | − | 0.402944i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 8.32539 | + | 14.4200i | 0.304203 | + | 0.526895i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.71871 | − | 21.2070i | −0.281660 | − | 0.773853i | −0.997165 | − | 0.0752462i | \(-0.976026\pi\) |
0.715505 | − | 0.698607i | \(-0.246196\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 13.6051 | + | 0.269537i | 0.495797 | + | 0.00982247i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1.73017 | − | 1.45179i | 0.0629675 | − | 0.0528360i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −9.07767 | − | 51.4820i | −0.329933 | − | 1.87115i | −0.472457 | − | 0.881354i | \(-0.656633\pi\) |
0.142523 | − | 0.989791i | \(-0.454478\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.35727 | + | 0.748174i | −0.0492659 | + | 0.0271570i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 16.8329i | 0.610193i | 0.952321 | + | 0.305097i | \(0.0986888\pi\) | ||||
−0.952321 | + | 0.305097i | \(0.901311\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.0450412 | + | 0.00794198i | −0.00163060 | + | 0.000287519i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 1.19410 | + | 8.79699i | 0.0431728 | + | 0.318056i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 4.84480 | + | 2.79715i | 0.174936 | + | 0.100999i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.83204 | − | 1.03078i | 0.102126 | − | 0.0371708i | −0.290452 | − | 0.956890i | \(-0.593806\pi\) |
0.392578 | + | 0.919719i | \(0.371583\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 18.2137 | + | 11.0024i | 0.655949 | + | 0.396240i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −8.98386 | + | 50.9500i | −0.323127 | + | 1.83254i | 0.199396 | + | 0.979919i | \(0.436102\pi\) |
−0.522523 | + | 0.852625i | \(0.675009\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 14.9994 | − | 17.8755i | 0.538793 | − | 0.642108i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 2.45522 | + | 15.7416i | 0.0880806 | + | 0.564726i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −4.86382 | − | 34.1319i | −0.174265 | − | 1.22290i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.21447 | + | 17.0741i | −0.222371 | + | 0.610960i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −18.9157 | + | 19.9993i | −0.675991 | + | 0.714718i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 5.34270 | + | 0.942061i | 0.190689 | + | 0.0336236i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −14.8092 | + | 8.55010i | −0.527891 | + | 0.304778i | −0.740157 | − | 0.672434i | \(-0.765249\pi\) |
0.212266 | + | 0.977212i | \(0.431916\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −31.0902 | − | 27.1552i | −1.10684 | − | 0.966749i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 7.41407 | − | 12.8416i | 0.263614 | − | 0.456593i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 22.6675 | + | 27.0141i | 0.804948 | + | 0.959300i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −1.32929 | + | 1.07126i | −0.0471451 | + | 0.0379938i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 7.92776 | 0.280816 | 0.140408 | − | 0.990094i | \(-0.455159\pi\) | ||||
0.140408 | + | 0.990094i | \(0.455159\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −70.8878 | −2.50783 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −13.3036 | − | 5.44807i | −0.470061 | − | 0.192498i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 15.0706 | + | 17.9605i | 0.531831 | + | 0.633811i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.235908 | + | 0.408604i | −0.00831466 | + | 0.0144014i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −21.6682 | + | 24.8081i | −0.762757 | + | 0.873288i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 3.32547 | − | 1.91996i | 0.116917 | − | 0.0675022i | −0.440401 | − | 0.897801i | \(-0.645164\pi\) |
0.557318 | + | 0.830299i | \(0.311830\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −27.5374 | − | 4.85558i | −0.966968 | − | 0.170503i | −0.332203 | − | 0.943208i | \(-0.607792\pi\) |
−0.634765 | + | 0.772705i | \(0.718903\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 9.17456 | + | 1.80579i | 0.321766 | + | 0.0633319i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1.89968 | + | 5.21932i | −0.0665428 | + | 0.182825i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −21.8824 | + | 17.1642i | −0.765568 | + | 0.600500i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 7.87346 | + | 10.1760i | 0.275121 | + | 0.355579i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −31.0592 | + | 37.0149i | −1.08397 | + | 1.29183i | −0.130139 | + | 0.991496i | \(0.541542\pi\) |
−0.953834 | + | 0.300333i | \(0.902902\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7.99935 | + | 45.3666i | −0.278840 | + | 1.58138i | 0.447654 | + | 0.894207i | \(0.352260\pi\) |
−0.726494 | + | 0.687173i | \(0.758851\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 6.12625 | − | 10.1416i | 0.213289 | − | 0.353085i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 26.1088 | − | 9.50281i | 0.907891 | − | 0.330445i | 0.154480 | − | 0.987996i | \(-0.450630\pi\) |
0.753410 | + | 0.657551i | \(0.228407\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 18.4501 | + | 10.6521i | 0.640797 | + | 0.369964i | 0.784921 | − | 0.619595i | \(-0.212703\pi\) |
−0.144125 | + | 0.989560i | \(0.546037\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0.0583245 | − | 0.150877i | 0.00202326 | − | 0.00523388i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 27.0029 | − | 4.76134i | 0.935594 | − | 0.164970i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 12.7018i | 0.439563i | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 25.6707 | + | 1.52732i | 0.887308 | + | 0.0527919i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 6.05886 | + | 34.3615i | 0.209175 | + | 1.18629i | 0.890733 | + | 0.454527i | \(0.150192\pi\) |
−0.681558 | + | 0.731765i | \(0.738697\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.715656 | + | 0.600507i | −0.0246778 | + | 0.0207071i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0.350001 | − | 17.6666i | 0.0120547 | − | 0.608470i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −0.738176 | − | 2.02812i | −0.0253940 | − | 0.0697695i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 6.37342 | + | 11.0391i | 0.218993 | + | 0.379307i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 10.8309 | + | 31.6976i | 0.371716 | + | 1.08786i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 3.03262 | + | 2.54467i | 0.103957 | + | 0.0872301i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.565541 | − | 0.205840i | −0.0193638 | − | 0.00704783i | 0.332320 | − | 0.943167i | \(-0.392169\pi\) |
−0.351684 | + | 0.936119i | \(0.614391\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −6.28292 | + | 3.04272i | −0.214871 | + | 0.104059i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 4.78193 | + | 1.74048i | 0.163348 | + | 0.0594537i | 0.422400 | − | 0.906410i | \(-0.361188\pi\) |
−0.259052 | + | 0.965863i | \(0.583410\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −23.1806 | − | 19.4509i | −0.790913 | − | 0.663655i | 0.155058 | − | 0.987905i | \(-0.450444\pi\) |
−0.945971 | + | 0.324250i | \(0.894888\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 6.34774 | + | 18.5772i | 0.216330 | + | 0.633110i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 20.1792 | + | 34.9514i | 0.686908 | + | 1.18976i | 0.972833 | + | 0.231508i | \(0.0743658\pi\) |
−0.285925 | + | 0.958252i | \(0.592301\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.57457 | + | 12.5685i | 0.155540 | + | 0.427343i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.470958 | + | 23.7720i | −0.0159946 | + | 0.807339i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −8.89172 | + | 7.46104i | −0.301631 | + | 0.253098i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.82011 | − | 27.3362i | −0.163323 | − | 0.926252i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −21.0336 | − | 13.2814i | −0.711879 | − | 0.449508i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | − | 7.43204i | − | 0.251249i | ||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 34.2610 | − | 6.04114i | 1.15691 | − | 0.203995i | 0.437921 | − | 0.899014i | \(-0.355715\pi\) |
0.718992 | + | 0.695019i | \(0.244604\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 10.1081 | − | 26.1481i | 0.340937 | − | 0.881955i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 9.93336 | + | 5.73503i | 0.334663 | + | 0.193218i | 0.657910 | − | 0.753097i | \(-0.271441\pi\) |
−0.323246 | + | 0.946315i | \(0.604774\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −4.25598 | + | 1.54905i | −0.143225 | + | 0.0521297i | −0.412638 | − | 0.910895i | \(-0.635393\pi\) |
0.269413 | + | 0.963025i | \(0.413170\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.893663 | − | 1.47940i | 0.0300402 | − | 0.0497295i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −9.37732 | + | 53.1814i | −0.314859 | + | 1.78566i | 0.258147 | + | 0.966106i | \(0.416888\pi\) |
−0.573006 | + | 0.819551i | \(0.694223\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.722210 | − | 0.860696i | 0.0242221 | − | 0.0288668i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 12.9982 | − | 1.24245i | 0.435454 | − | 0.0416238i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −17.3272 | − | 52.9809i | −0.579831 | − | 1.77294i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.83801 | + | 7.79736i | −0.0948641 | + | 0.260637i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 3.13688 | + | 0.617420i | 0.104737 | + | 0.0206151i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −25.8204 | − | 4.55283i | −0.861158 | − | 0.151845i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8.86360 | + | 5.11740i | −0.295289 | + | 0.170485i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 10.4176 | − | 11.9272i | 0.346676 | − | 0.396913i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −5.59617 | + | 9.69284i | −0.186023 | + | 0.322201i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −4.49918 | − | 5.36192i | −0.149393 | − | 0.178039i | 0.686158 | − | 0.727452i | \(-0.259296\pi\) |
−0.835551 | + | 0.549413i | \(0.814851\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −3.58102 | + | 8.74449i | −0.118775 | + | 0.290036i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 13.0438 | 0.432160 | 0.216080 | − | 0.976376i | \(-0.430673\pi\) | ||||
0.216080 | + | 0.976376i | \(0.430673\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 7.19739 | 0.238199 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 8.48315 | − | 6.83650i | 0.280444 | − | 0.226008i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 10.6104 | + | 12.6450i | 0.350387 | + | 0.417575i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.44700 | − | 5.97038i | 0.113706 | − | 0.196945i | −0.803556 | − | 0.595229i | \(-0.797061\pi\) |
0.917262 | + | 0.398285i | \(0.130394\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 23.2688 | + | 20.3237i | 0.766732 | + | 0.669687i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 32.4603 | − | 18.7410i | 1.06844 | − | 0.616867i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −29.8051 | − | 5.25544i | −0.979985 | − | 0.172798i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 9.34078 | + | 29.2156i | 0.306792 | + | 0.959566i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −13.7442 | + | 37.7618i | −0.450931 | + | 1.23892i | 0.481139 | + | 0.876645i | \(0.340223\pi\) |
−0.932070 | + | 0.362279i | \(0.881999\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 10.1589 | + | 19.0179i | 0.332945 | + | 0.623286i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 8.73767 | + | 56.0213i | 0.286059 | + | 1.83405i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −2.75968 | + | 3.28886i | −0.0902513 | + | 0.107557i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 3.70352 | − | 21.0037i | 0.120989 | − | 0.686161i | −0.862621 | − | 0.505850i | \(-0.831179\pi\) |
0.983610 | − | 0.180310i | \(-0.0577101\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 39.1719 | + | 23.6626i | 1.27833 | + | 0.772201i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 33.1057 | − | 12.0495i | 1.07922 | − | 0.392802i | 0.259600 | − | 0.965716i | \(-0.416409\pi\) |
0.819616 | + | 0.572914i | \(0.194187\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 4.22461 | + | 2.43908i | 0.137572 | + | 0.0794274i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 3.19147 | − | 2.36977i | 0.103819 | − | 0.0770888i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −26.6972 | + | 4.70744i | −0.867542 | + | 0.152971i | −0.589667 | − | 0.807646i | \(-0.700741\pi\) |
−0.277875 | + | 0.960617i | \(0.589630\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 48.3652i | − | 1.57000i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 20.3392 | − | 11.2116i | 0.659543 | − | 0.363562i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −1.20982 | − | 6.86124i | −0.0391900 | − | 0.222258i | 0.958923 | − | 0.283668i | \(-0.0915513\pi\) |
−0.998113 | + | 0.0614103i | \(0.980440\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.651855 | − | 0.546972i | 0.0210935 | − | 0.0176996i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −13.3100 | − | 0.263691i | −0.430251 | − | 0.00852391i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 6.63821 | + | 18.2383i | 0.214359 | + | 0.588947i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −3.25341 | − | 5.63508i | −0.104949 | − | 0.181777i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −25.7945 | − | 23.4465i | −0.831217 | − | 0.755553i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.78142 | + | 1.49479i | 0.0573458 | + | 0.0481188i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 37.2609 | + | 13.5619i | 1.19823 | + | 0.436120i | 0.862606 | − | 0.505876i | \(-0.168831\pi\) |
0.335623 | + | 0.941996i | \(0.391053\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −40.0271 | + | 12.2185i | −1.28586 | + | 0.392516i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 48.3722 | + | 17.6060i | 1.55234 | + | 0.565004i | 0.968964 | − | 0.247201i | \(-0.0795106\pi\) |
0.583372 | + | 0.812205i | \(0.301733\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −7.94358 | − | 6.66546i | −0.254660 | − | 0.213685i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −23.1285 | + | 7.90290i | −0.740705 | + | 0.253095i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −29.8636 | − | 51.7252i | −0.955421 | − | 1.65484i | −0.733402 | − | 0.679795i | \(-0.762069\pi\) |
−0.222018 | − | 0.975042i | \(-0.571264\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.37783 | − | 6.53305i | −0.0759959 | − | 0.208797i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.0847512 | − | 0.0445521i | 0.00270590 | − | 0.00142244i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −27.8849 | + | 23.3982i | −0.889391 | + | 0.746288i | −0.968088 | − | 0.250611i | \(-0.919369\pi\) |
0.0786969 | + | 0.996899i | \(0.474924\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.609817 | − | 3.45845i | −0.0194304 | − | 0.110195i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 15.3229 | + | 27.7974i | 0.487732 | + | 0.884801i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 3.93502i | − | 0.125126i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 45.8935 | − | 8.09227i | 1.45786 | − | 0.257059i | 0.612164 | − | 0.790730i | \(-0.290299\pi\) |
0.845692 | + | 0.533671i | \(0.179188\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 40.3780 | + | 15.6089i | 1.28136 | + | 0.495333i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −5.03861 | − | 2.90904i | −0.159735 | − | 0.0922229i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 6.98731 | − | 2.54317i | 0.221290 | − | 0.0805430i | −0.228996 | − | 0.973427i | \(-0.573544\pi\) |
0.450286 | + | 0.892884i | \(0.351322\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −14.9317 | − | 29.8242i | −0.472417 | − | 0.943596i |
(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 | 912.2.cc.c.737.1 | 18 | ||
3.2 | odd | 2 | 912.2.cc.d.737.2 | 18 | |||
4.3 | odd | 2 | 114.2.l.b.53.3 | yes | 18 | ||
12.11 | even | 2 | 114.2.l.a.53.2 | ✓ | 18 | ||
19.14 | odd | 18 | 912.2.cc.d.641.2 | 18 | |||
57.14 | even | 18 | inner | 912.2.cc.c.641.1 | 18 | ||
76.71 | even | 18 | 114.2.l.a.71.2 | yes | 18 | ||
228.71 | odd | 18 | 114.2.l.b.71.3 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.l.a.53.2 | ✓ | 18 | 12.11 | even | 2 | ||
114.2.l.a.71.2 | yes | 18 | 76.71 | even | 18 | ||
114.2.l.b.53.3 | yes | 18 | 4.3 | odd | 2 | ||
114.2.l.b.71.3 | yes | 18 | 228.71 | odd | 18 | ||
912.2.cc.c.641.1 | 18 | 57.14 | even | 18 | inner | ||
912.2.cc.c.737.1 | 18 | 1.1 | even | 1 | trivial | ||
912.2.cc.d.641.2 | 18 | 19.14 | odd | 18 | |||
912.2.cc.d.737.2 | 18 | 3.2 | odd | 2 |