Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(4,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, 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("99.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.m (of order \(15\), degree \(8\), 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: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 58.4 | ||
Character | \(\chi\) | \(=\) | 99.58 |
Dual form | 99.2.m.b.70.4 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 | 0.180792 | − | 0.983521i | \(-0.442134\pi\) |
−0.609926 | + | 0.792459i | \(0.708801\pi\) | |||||||
\(3\) | 1.10264 | + | 1.33574i | 0.636607 | + | 0.771188i | ||||
\(4\) | −1.04296 | − | 1.15832i | −0.521480 | − | 0.579162i | ||||
\(5\) | 1.02009 | − | 0.454172i | 0.456196 | − | 0.203112i | −0.165756 | − | 0.986167i | \(-0.553006\pi\) |
0.621952 | + | 0.783055i | \(0.286340\pi\) | |||||||
\(6\) | −0.308255 | − | 1.10858i | −0.125845 | − | 0.452575i | ||||
\(7\) | 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 | ||||
\(9\) | −0.568386 | + | 2.94566i | −0.189462 | + | 0.981888i | ||||
\(10\) | −0.741796 | −0.234576 | ||||||||
\(11\) | −2.09587 | + | 2.57048i | −0.631928 | + | 0.775027i | ||||
\(12\) | 0.397211 | − | 2.67033i | 0.114665 | − | 0.770858i | ||||
\(13\) | −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 | ||||
\(15\) | 1.73144 | + | 0.861780i | 0.447055 | + | 0.222511i | ||||
\(16\) | −0.161688 | + | 1.53836i | −0.0404221 | + | 0.384590i | ||||
\(17\) | −4.48727 | − | 3.26019i | −1.08832 | − | 0.790713i | −0.109207 | − | 0.994019i | \(-0.534831\pi\) |
−0.979115 | + | 0.203306i | \(0.934831\pi\) | |||||||
\(18\) | 1.14087 | − | 1.63411i | 0.268907 | − | 0.385162i | ||||
\(19\) | −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 | ||||
\(21\) | 5.29556 | + | 4.20635i | 1.15559 | + | 0.917901i | ||||
\(22\) | 1.96651 | − | 0.993678i | 0.419260 | − | 0.211853i | ||||
\(23\) | −1.05719 | + | 1.83110i | −0.220439 | + | 0.381812i | −0.954941 | − | 0.296795i | \(-0.904082\pi\) |
0.734502 | + | 0.678606i | \(0.237416\pi\) | |||||||
\(24\) | −2.19774 | + | 3.45498i | −0.448611 | + | 0.705245i | ||||
\(25\) | −2.51135 | + | 2.78914i | −0.502270 | + | 0.557827i | ||||
\(26\) | −0.549758 | + | 1.69198i | −0.107816 | + | 0.331825i | ||||
\(27\) | −4.56135 | + | 2.48878i | −0.877833 | + | 0.478967i | ||||
\(28\) | −4.92362 | − | 3.57722i | −0.930476 | − | 0.676030i | ||||
\(29\) | −1.05937 | + | 0.225177i | −0.196721 | + | 0.0418143i | −0.305218 | − | 0.952282i | \(-0.598729\pi\) |
0.108497 | + | 0.994097i | \(0.465396\pi\) | |||||||
\(30\) | −0.817931 | − | 0.990844i | −0.149333 | − | 0.180903i | ||||
\(31\) | 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 | ||||
\(33\) | −5.74446 | + | 0.0347740i | −0.999982 | + | 0.00605338i | ||||
\(34\) | 1.84235 | + | 3.19104i | 0.315960 | + | 0.547259i | ||||
\(35\) | 3.52724 | − | 2.56269i | 0.596212 | − | 0.433173i | ||||
\(36\) | 4.00484 | − | 2.41383i | 0.667473 | − | 0.402306i | ||||
\(37\) | −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 | ||||
\(39\) | 3.24885 | − | 3.31060i | 0.520233 | − | 0.530120i | ||||
\(40\) | 1.76638 | + | 1.96176i | 0.279289 | + | 0.310182i | ||||
\(41\) | 2.85529 | + | 0.606910i | 0.445921 | + | 0.0947834i | 0.425399 | − | 0.905006i | \(-0.360134\pi\) |
0.0205221 | + | 0.999789i | \(0.493467\pi\) | |||||||
\(42\) | −2.07724 | − | 3.98366i | −0.320525 | − | 0.614692i | ||||
\(43\) | 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 | ||||
\(45\) | 0.758035 | + | 3.26298i | 0.113001 | + | 0.486416i | ||||
\(46\) | 1.13637 | − | 0.825618i | 0.167548 | − | 0.121731i | ||||
\(47\) | 8.58861 | − | 9.53861i | 1.25278 | − | 1.39135i | 0.365044 | − | 0.930990i | \(-0.381054\pi\) |
0.887733 | − | 0.460359i | \(-0.152279\pi\) | |||||||
\(48\) | −2.23313 | + | 1.48028i | −0.322324 | + | 0.213660i | ||||
\(49\) | 7.53259 | − | 3.35373i | 1.07608 | − | 0.479104i | ||||
\(50\) | 2.27774 | − | 1.01411i | 0.322121 | − | 0.143418i | ||||
\(51\) | −0.593068 | − | 9.58862i | −0.0830462 | − | 1.34267i | ||||
\(52\) | −2.79305 | + | 3.10200i | −0.387326 | + | 0.430169i | ||||
\(53\) | −4.56381 | + | 3.31581i | −0.626888 | + | 0.455461i | −0.855321 | − | 0.518099i | \(-0.826640\pi\) |
0.228433 | + | 0.973560i | \(0.426640\pi\) | |||||||
\(54\) | 3.44070 | − | 0.277916i | 0.468221 | − | 0.0378196i | ||||
\(55\) | −0.970527 | + | 3.57399i | −0.130866 | + | 0.481917i | ||||
\(56\) | 4.61537 | + | 7.99405i | 0.616755 | + | 1.06825i | ||||
\(57\) | 4.77117 | − | 7.50058i | 0.631956 | − | 0.993476i | ||||
\(58\) | 0.703764 | + | 0.149590i | 0.0924087 | + | 0.0196421i | ||||
\(59\) | −1.58943 | − | 1.76524i | −0.206927 | − | 0.229815i | 0.630744 | − | 0.775991i | \(-0.282750\pi\) |
−0.837671 | + | 0.546176i | \(0.816083\pi\) | |||||||
\(60\) | −0.807599 | − | 2.90437i | −0.104261 | − | 0.374952i | ||||
\(61\) | 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 | ||||
\(63\) | 0.220502 | + | 11.7116i | 0.0277806 | + | 1.47552i | ||||
\(64\) | −0.590604 | + | 0.429099i | −0.0738255 | + | 0.0536374i | ||||
\(65\) | −1.49516 | − | 2.58969i | −0.185452 | − | 0.321212i | ||||
\(66\) | 3.49563 | + | 1.53107i | 0.430283 | + | 0.188462i | ||||
\(67\) | 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 | ||||
\(69\) | −3.61157 | + | 0.606917i | −0.434782 | + | 0.0730642i | ||||
\(70\) | −2.83308 | + | 0.602190i | −0.338618 | + | 0.0719754i | ||||
\(71\) | −5.11062 | − | 3.71308i | −0.606519 | − | 0.440662i | 0.241668 | − | 0.970359i | \(-0.422306\pi\) |
−0.848187 | + | 0.529697i | \(0.822306\pi\) | |||||||
\(72\) | −7.03825 | + | 0.873994i | −0.829466 | + | 0.103001i | ||||
\(73\) | −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 | ||||
\(75\) | −6.49466 | − | 0.279099i | −0.749938 | − | 0.0322275i | ||||
\(76\) | −3.99983 | + | 6.92792i | −0.458812 | + | 0.794686i | ||||
\(77\) | −5.91786 | + | 11.5186i | −0.674403 | + | 1.31267i | ||||
\(78\) | −2.86622 | + | 1.13131i | −0.324536 | + | 0.128095i | ||||
\(79\) | 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 | ||||
\(81\) | −8.35388 | − | 3.34855i | −0.928208 | − | 0.372061i | ||||
\(82\) | −1.56885 | − | 1.13983i | −0.173250 | − | 0.125874i | ||||
\(83\) | −0.0503831 | + | 0.479363i | −0.00553026 | + | 0.0526169i | −0.996939 | − | 0.0781834i | \(-0.975088\pi\) |
0.991409 | + | 0.130800i | \(0.0417547\pi\) | |||||||
\(84\) | −0.650739 | − | 10.5210i | −0.0710015 | − | 1.14794i | ||||
\(85\) | −6.05809 | − | 1.28769i | −0.657092 | − | 0.139669i | ||||
\(86\) | −0.155030 | − | 1.47502i | −0.0167174 | − | 0.159055i | ||||
\(87\) | −1.46888 | − | 1.16676i | −0.157481 | − | 0.125089i | ||||
\(88\) | −7.31058 | − | 2.83448i | −0.779310 | − | 0.302157i | ||||
\(89\) | 16.0830 | 1.70480 | 0.852399 | − | 0.522891i | \(-0.175147\pi\) | ||||
0.852399 | + | 0.522891i | \(0.175147\pi\) | |||||||
\(90\) | 0.421626 | − | 2.18508i | 0.0444433 | − | 0.230328i | ||||
\(91\) | −3.23120 | − | 9.94461i | −0.338722 | − | 1.04248i | ||||
\(92\) | 3.22362 | − | 0.685201i | 0.336085 | − | 0.0714371i | ||||
\(93\) | −0.521857 | + | 0.531775i | −0.0541141 | + | 0.0551425i | ||||
\(94\) | −7.78968 | + | 3.46819i | −0.803444 | + | 0.357716i | ||||
\(95\) | −3.83471 | − | 4.25888i | −0.393433 | − | 0.436952i | ||||
\(96\) | 9.83148 | − | 1.65216i | 1.00342 | − | 0.168623i | ||||
\(97\) | 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 | ||||||||
\(99\) | −6.38050 | − | 7.63474i | −0.641264 | − | 0.767320i | ||||
\(100\) | 5.84996 | 0.584996 | ||||||||
\(101\) | 1.60904 | + | 0.716391i | 0.160106 | + | 0.0712836i | 0.485225 | − | 0.874389i | \(-0.338738\pi\) |
−0.325119 | + | 0.945673i | \(0.605404\pi\) | |||||||
\(102\) | −2.23095 | + | 5.97945i | −0.220897 | + | 0.592054i | ||||
\(103\) | 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 | ||||
\(105\) | 7.31233 | + | 1.88575i | 0.713611 | + | 0.184030i | ||||
\(106\) | 3.66566 | − | 0.779160i | 0.356041 | − | 0.0756787i | ||||
\(107\) | −3.17558 | − | 9.77342i | −0.306995 | − | 0.944833i | −0.978925 | − | 0.204219i | \(-0.934535\pi\) |
0.671931 | − | 0.740614i | \(-0.265465\pi\) | |||||||
\(108\) | 7.64012 | + | 2.68783i | 0.735171 | + | 0.258636i | ||||
\(109\) | 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 | ||||
\(111\) | −14.0259 | + | 5.53605i | −1.33128 | + | 0.525459i | ||||
\(112\) | 0.631319 | + | 6.00659i | 0.0596540 | + | 0.567570i | ||||
\(113\) | −1.49895 | − | 0.318611i | −0.141009 | − | 0.0299724i | 0.136866 | − | 0.990590i | \(-0.456297\pi\) |
−0.277875 | + | 0.960617i | \(0.589630\pi\) | |||||||
\(114\) | −4.92224 | + | 3.26282i | −0.461010 | + | 0.305591i | ||||
\(115\) | −0.246788 | + | 2.34803i | −0.0230131 | + | 0.218955i | ||||
\(116\) | 1.36571 | + | 0.992247i | 0.126803 | + | 0.0921279i | ||||
\(117\) | 8.00439 | + | 0.689227i | 0.740006 | + | 0.0637191i | ||||
\(118\) | 0.487631 | + | 1.50077i | 0.0448901 | + | 0.138157i | ||||
\(119\) | −19.7845 | − | 8.80862i | −1.81364 | − | 0.807485i | ||||
\(120\) | −0.672725 | + | 4.52253i | −0.0614111 | + | 0.412849i | ||||
\(121\) | −2.21469 | − | 10.7747i | −0.201335 | − | 0.979522i | ||||
\(122\) | −1.35669 | + | 2.34986i | −0.122829 | + | 0.212746i | ||||
\(123\) | 2.33767 | + | 4.48311i | 0.210781 | + | 0.404229i | ||||
\(124\) | 0.448642 | − | 0.498267i | 0.0402892 | − | 0.0447457i | ||||
\(125\) | −3.02032 | + | 9.29560i | −0.270146 | + | 0.831424i | ||||
\(126\) | 3.03068 | − | 7.16717i | 0.269995 | − | 0.638502i | ||||
\(127\) | 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 | ||||
\(129\) | −1.35174 | + | 3.62297i | −0.119014 | + | 0.318984i | ||||
\(130\) | 0.207649 | + | 1.97565i | 0.0182120 | + | 0.173276i | ||||
\(131\) | 2.67956 | − | 4.64113i | 0.234114 | − | 0.405498i | −0.724901 | − | 0.688853i | \(-0.758114\pi\) |
0.959015 | + | 0.283356i | \(0.0914477\pi\) | |||||||
\(132\) | 6.03152 | + | 6.61767i | 0.524976 | + | 0.575995i | ||||
\(133\) | −10.0197 | − | 17.3547i | −0.868820 | − | 1.50484i | ||||
\(134\) | −5.24101 | + | 3.80782i | −0.452754 | + | 0.328945i | ||||
\(135\) | −3.52264 | + | 4.61041i | −0.303181 | + | 0.396801i | ||||
\(136\) | 4.05203 | − | 12.4709i | 0.347459 | − | 1.06937i | ||||
\(137\) | −1.74889 | + | 16.6395i | −0.149417 | + | 1.42161i | 0.620869 | + | 0.783914i | \(0.286780\pi\) |
−0.770287 | + | 0.637698i | \(0.779887\pi\) | |||||||
\(138\) | 2.35581 | + | 0.607529i | 0.200539 | + | 0.0517163i | ||||
\(139\) | 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 | ||||
\(141\) | 22.2112 | + | 0.954494i | 1.87052 | + | 0.0803829i | ||||
\(142\) | 2.09828 | + | 3.63433i | 0.176084 | + | 0.304986i | ||||
\(143\) | 7.43273 | + | 4.86244i | 0.621556 | + | 0.406618i | ||||
\(144\) | −4.43959 | − | 1.35066i | −0.369966 | − | 0.112555i | ||||
\(145\) | −0.978384 | + | 0.710837i | −0.0812503 | + | 0.0590318i | ||||
\(146\) | 5.18870 | − | 5.76264i | 0.429420 | − | 0.476919i | ||||
\(147\) | 12.7854 | + | 6.36362i | 1.05452 | + | 0.524863i | ||||
\(148\) | 12.3964 | − | 5.51923i | 1.01898 | − | 0.453678i | ||||
\(149\) | 5.07900 | − | 2.26132i | 0.416088 | − | 0.185254i | −0.188005 | − | 0.982168i | \(-0.560202\pi\) |
0.604093 | + | 0.796914i | \(0.293536\pi\) | |||||||
\(150\) | 3.86611 | + | 1.92426i | 0.315666 | + | 0.157115i | ||||
\(151\) | −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 | ||||
\(153\) | 12.1539 | − | 11.3649i | 0.982587 | − | 0.918801i | ||||
\(154\) | 6.70385 | − | 5.39148i | 0.540211 | − | 0.434458i | ||||
\(155\) | 0.240165 | + | 0.415978i | 0.0192905 | + | 0.0334121i | ||||
\(156\) | −7.22317 | − | 0.310405i | −0.578316 | − | 0.0248523i | ||||
\(157\) | −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 | ||||
\(159\) | −9.46127 | − | 2.43993i | −0.750328 | − | 0.193499i | ||||
\(160\) | 0.671811 | − | 6.39185i | 0.0531113 | − | 0.505320i | ||||
\(161\) | −2.55114 | + | 7.85161i | −0.201058 | + | 0.618794i | ||||
\(162\) | 4.16507 | + | 4.28944i | 0.327239 | + | 0.337010i | ||||
\(163\) | 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 | ||||
\(165\) | −5.84405 | + | 2.64444i | −0.454959 | + | 0.205870i | ||||
\(166\) | 0.160102 | − | 0.277306i | 0.0124264 | − | 0.0215231i | ||||
\(167\) | −1.65577 | − | 15.7536i | −0.128128 | − | 1.21905i | −0.849909 | − | 0.526930i | \(-0.823343\pi\) |
0.721781 | − | 0.692121i | \(-0.243324\pi\) | |||||||
\(168\) | −5.58888 | + | 14.9795i | −0.431191 | + | 1.15569i | ||||
\(169\) | 5.70093 | − | 1.21177i | 0.438533 | − | 0.0932131i | ||||
\(170\) | 3.32864 | + | 2.41840i | 0.255295 | + | 0.185482i | ||||
\(171\) | 15.2797 | − | 1.89739i | 1.16847 | − | 0.145097i | ||||
\(172\) | 1.07533 | − | 3.30954i | 0.0819935 | − | 0.252350i | ||||
\(173\) | −1.74167 | + | 1.93432i | −0.132417 | + | 0.147064i | −0.805706 | − | 0.592315i | \(-0.798214\pi\) |
0.673290 | + | 0.739379i | \(0.264881\pi\) | |||||||
\(174\) | 0.576183 | + | 1.10499i | 0.0436803 | + | 0.0837688i | ||||
\(175\) | −7.32717 | + | 12.6910i | −0.553882 | + | 0.959352i | ||||
\(176\) | −3.61544 | − | 3.63981i | −0.272524 | − | 0.274361i | ||||
\(177\) | 0.605335 | − | 4.06949i | 0.0454997 | − | 0.305881i | ||||
\(178\) | −9.76059 | − | 4.34569i | −0.731587 | − | 0.325724i | ||||
\(179\) | 2.34483 | + | 7.21663i | 0.175261 | + | 0.539396i | 0.999645 | − | 0.0266334i | \(-0.00847867\pi\) |
−0.824385 | + | 0.566030i | \(0.808479\pi\) | |||||||
\(180\) | 2.98898 | − | 4.28120i | 0.222786 | − | 0.319102i | ||||
\(181\) | 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 | ||||
\(183\) | 5.89663 | − | 3.90871i | 0.435891 | − | 0.288940i | ||||
\(184\) | −4.88937 | − | 1.03927i | −0.360449 | − | 0.0766159i | ||||
\(185\) | 1.01613 | + | 9.66784i | 0.0747074 | + | 0.710794i | ||||
\(186\) | 0.460396 | − | 0.181720i | 0.0337579 | − | 0.0133243i | ||||
\(187\) | 17.7850 | − | 4.70149i | 1.30056 | − | 0.343807i | ||||
\(188\) | −20.0064 | −1.45911 | ||||||||
\(189\) | −15.4004 | + | 13.2081i | −1.12022 | + | 0.960749i | ||||
\(190\) | 1.17647 | + | 3.62081i | 0.0853504 | + | 0.262681i | ||||
\(191\) | 16.1573 | − | 3.43433i | 1.16910 | − | 0.248500i | 0.417849 | − | 0.908517i | \(-0.362784\pi\) |
0.751251 | + | 0.660017i | \(0.229451\pi\) | |||||||
\(192\) | −1.22438 | − | 0.315751i | −0.0883623 | − | 0.0227874i | ||||
\(193\) | −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 | ||||
\(195\) | 1.81053 | − | 4.85263i | 0.129655 | − | 0.347504i | ||||
\(196\) | −11.7409 | − | 5.22738i | −0.838635 | − | 0.373384i | ||||
\(197\) | −22.9072 | −1.63207 | −0.816035 | − | 0.578003i | \(-0.803832\pi\) | ||||
−0.816035 | + | 0.578003i | \(0.803832\pi\) | |||||||
\(198\) | 1.80931 | + | 6.35746i | 0.128582 | + | 0.451805i | ||||
\(199\) | 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 | ||||
\(201\) | 16.6569 | − | 2.79915i | 1.17488 | − | 0.197437i | ||||
\(202\) | −0.782935 | − | 0.869537i | −0.0550871 | − | 0.0611804i | ||||
\(203\) | −3.86318 | + | 1.72000i | −0.271142 | + | 0.120720i | ||||
\(204\) | −10.4882 | + | 10.6875i | −0.734319 | + | 0.748275i | ||||
\(205\) | 3.18828 | − | 0.677690i | 0.222679 | − | 0.0473319i | ||||
\(206\) | −0.551741 | − | 1.69808i | −0.0384416 | − | 0.118311i | ||||
\(207\) | −4.79293 | − | 4.15490i | −0.333132 | − | 0.288785i | ||||
\(208\) | 4.14243 | 0.287226 | ||||||||
\(209\) | 15.8709 | + | 6.15351i | 1.09781 | + | 0.425647i | ||||
\(210\) | −3.92822 | − | 3.12025i | −0.271073 | − | 0.215318i | ||||
\(211\) | −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 | ||||
\(213\) | −0.675455 | − | 10.9206i | −0.0462814 | − | 0.748269i | ||||
\(214\) | −0.713596 | + | 6.78942i | −0.0487804 | + | 0.464115i | ||||
\(215\) | 2.01683 | + | 1.46531i | 0.137547 | + | 0.0999334i | ||||
\(216\) | −8.92806 | − | 8.43755i | −0.607477 | − | 0.574103i | ||||
\(217\) | 0.519021 | + | 1.59738i | 0.0352335 | + | 0.108437i | ||||
\(218\) | −1.43398 | − | 0.638448i | −0.0971212 | − | 0.0432412i | ||||
\(219\) | −18.8058 | + | 7.42270i | −1.27078 | + | 0.501580i | ||||
\(220\) | 5.15206 | − | 2.60334i | 0.347352 | − | 0.175517i | ||||
\(221\) | −7.42687 | + | 12.8637i | −0.499585 | + | 0.865307i | ||||
\(222\) | 10.0080 | + | 0.430078i | 0.671691 | + | 0.0288650i | ||||
\(223\) | −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 | ||||
\(225\) | −6.78844 | − | 8.98290i | −0.452563 | − | 0.598860i | ||||
\(226\) | 0.823601 | + | 0.598381i | 0.0547851 | + | 0.0398037i | ||||
\(227\) | −27.5152 | + | 5.84854i | −1.82625 | + | 0.388181i | −0.987664 | − | 0.156590i | \(-0.949950\pi\) |
−0.838585 | + | 0.544771i | \(0.816617\pi\) | |||||||
\(228\) | −13.6642 | + | 2.29625i | −0.904936 | + | 0.152073i | ||||
\(229\) | 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 | ||||
\(231\) | −21.9111 | + | 4.79616i | −1.44165 | + | 0.315564i | ||||
\(232\) | −1.28021 | − | 2.21739i | −0.0840499 | − | 0.145579i | ||||
\(233\) | 11.7385 | − | 8.52854i | 0.769017 | − | 0.558723i | −0.132646 | − | 0.991163i | \(-0.542347\pi\) |
0.901663 | + | 0.432440i | \(0.142347\pi\) | |||||||
\(234\) | −4.67153 | − | 2.58110i | −0.305388 | − | 0.168732i | ||||
\(235\) | 4.42895 | − | 13.6309i | 0.288913 | − | 0.889182i | ||||
\(236\) | −0.387010 | + | 3.68216i | −0.0251922 | + | 0.239688i | ||||
\(237\) | 2.09489 | + | 7.53387i | 0.136078 | + | 0.489377i | ||||
\(238\) | 9.62682 | + | 10.6917i | 0.624014 | + | 0.693038i | ||||
\(239\) | 24.5986 | + | 5.22859i | 1.59115 | + | 0.338209i | 0.916533 | − | 0.399959i | \(-0.130976\pi\) |
0.674617 | + | 0.738168i | \(0.264309\pi\) | |||||||
\(240\) | −1.60568 | + | 2.52424i | −0.103646 | + | 0.162939i | ||||
\(241\) | −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 | ||||
\(243\) | −4.73851 | − | 14.8508i | −0.303976 | − | 0.952680i | ||||
\(244\) | −5.15048 | + | 3.74205i | −0.329726 | + | 0.239560i | ||||
\(245\) | 6.16073 | − | 6.84218i | 0.393594 | − | 0.437131i | ||||
\(246\) | −0.207350 | − | 3.35239i | −0.0132201 | − | 0.213741i | ||||
\(247\) | −12.5562 | + | 5.59036i | −0.798929 | + | 0.355706i | ||||
\(248\) | −0.929029 | + | 0.413630i | −0.0589934 | + | 0.0262655i | ||||
\(249\) | −0.695857 | + | 0.461265i | −0.0440982 | + | 0.0292315i | ||||
\(250\) | 4.34470 | − | 4.82528i | 0.274783 | − | 0.305177i | ||||
\(251\) | 17.6993 | − | 12.8593i | 1.11717 | − | 0.811670i | 0.133390 | − | 0.991064i | \(-0.457414\pi\) |
0.983777 | + | 0.179394i | \(0.0574136\pi\) | |||||||
\(252\) | 13.3358 | − | 12.4701i | 0.840076 | − | 0.785541i | ||||
\(253\) | −2.49108 | − | 6.55523i | −0.156613 | − | 0.412124i | ||||
\(254\) | −2.54147 | − | 4.40195i | −0.159466 | − | 0.276203i | ||||
\(255\) | −4.95986 | − | 9.51186i | −0.310598 | − | 0.595656i | ||||
\(256\) | 8.59329 | + | 1.82656i | 0.537081 | + | 0.114160i | ||||
\(257\) | 3.45520 | + | 3.83739i | 0.215530 | + | 0.239370i | 0.841209 | − | 0.540711i | \(-0.181845\pi\) |
−0.625679 | + | 0.780081i | \(0.715178\pi\) | |||||||
\(258\) | 1.79929 | − | 1.83349i | 0.112019 | − | 0.114148i | ||||
\(259\) | −3.55315 | + | 33.8059i | −0.220782 | + | 2.10060i | ||||
\(260\) | −1.44031 | + | 4.43283i | −0.0893244 | + | 0.274912i | ||||
\(261\) | −0.0611627 | − | 3.24855i | −0.00378587 | − | 0.201080i | ||||
\(262\) | −2.88024 | + | 2.09262i | −0.177942 | + | 0.129282i | ||||
\(263\) | 13.9491 | + | 24.1605i | 0.860135 | + | 1.48980i | 0.871798 | + | 0.489866i | \(0.162954\pi\) |
−0.0116625 | + | 0.999932i | \(0.503712\pi\) | |||||||
\(264\) | −4.27479 | − | 12.8904i | −0.263095 | − | 0.793350i | ||||
\(265\) | −3.14954 | + | 5.45516i | −0.193475 | + | 0.335108i | ||||
\(266\) | 1.39155 | + | 13.2397i | 0.0853212 | + | 0.811777i | ||||
\(267\) | 17.7337 | + | 21.4827i | 1.08529 | + | 1.31472i | ||||
\(268\) | −14.8676 | + | 3.16020i | −0.908183 | + | 0.193040i | ||||
\(269\) | −2.44290 | − | 1.77487i | −0.148946 | − | 0.108216i | 0.510816 | − | 0.859690i | \(-0.329343\pi\) |
−0.659763 | + | 0.751474i | \(0.729343\pi\) | |||||||
\(270\) | 3.38359 | − | 1.84617i | 0.205919 | − | 0.112354i | ||||
\(271\) | −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 | ||||
\(273\) | 9.72054 | − | 15.2813i | 0.588314 | − | 0.924868i | ||||
\(274\) | 5.55744 | − | 9.62577i | 0.335737 | − | 0.581514i | ||||
\(275\) | −1.90595 | − | 12.3010i | −0.114933 | − | 0.741779i | ||||
\(276\) | 4.46973 | + | 3.55038i | 0.269046 | + | 0.213708i | ||||
\(277\) | −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 | ||||
\(279\) | −1.28573 | − | 0.110709i | −0.0769746 | − | 0.00662799i | ||||
\(280\) | 8.33875 | + | 6.05845i | 0.498335 | + | 0.362062i | ||||
\(281\) | 2.35926 | − | 22.4469i | 0.140742 | − | 1.33907i | −0.665019 | − | 0.746827i | \(-0.731576\pi\) |
0.805761 | − | 0.592241i | \(-0.201757\pi\) | |||||||
\(282\) | −13.2218 | − | 6.58081i | −0.787345 | − | 0.391882i | ||||
\(283\) | 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 | ||||
\(285\) | 1.46045 | − | 9.81817i | 0.0865095 | − | 0.581578i | ||||
\(286\) | −3.19697 | − | 4.95930i | −0.189041 | − | 0.293250i | ||||
\(287\) | 11.3977 | 0.672782 | ||||||||
\(288\) | 13.0474 | + | 11.3105i | 0.768826 | + | 0.666480i | ||||
\(289\) | 4.25344 | + | 13.0907i | 0.250202 | + | 0.770044i | ||||
\(290\) | 0.785839 | − | 0.167035i | 0.0461461 | − | 0.00980865i | ||||
\(291\) | 3.71939 | + | 13.3760i | 0.218034 | + | 0.784117i | ||||
\(292\) | 16.6210 | − | 7.40014i | 0.972670 | − | 0.433061i | ||||
\(293\) | 4.74689 | + | 5.27195i | 0.277316 | + | 0.307991i | 0.865672 | − | 0.500611i | \(-0.166891\pi\) |
−0.588356 | + | 0.808602i | \(0.700225\pi\) | |||||||
\(294\) | −6.03982 | − | 7.31666i | −0.352250 | − | 0.426716i | ||||
\(295\) | −2.42308 | − | 1.07883i | −0.141077 | − | 0.0628117i | ||||
\(296\) | −20.5814 | −1.19627 | ||||||||
\(297\) | 3.16263 | − | 16.9410i | 0.183515 | − | 0.983017i | ||||
\(298\) | −3.69339 | −0.213953 | ||||||||
\(299\) | 5.17278 | + | 2.30307i | 0.299150 | + | 0.133190i | ||||
\(300\) | 6.45038 | + | 7.81400i | 0.372413 | + | 0.451142i | ||||
\(301\) | 5.83291 | + | 6.47811i | 0.336204 | + | 0.373392i | ||||
\(302\) | 0.0994733 | − | 0.0442884i | 0.00572405 | − | 0.00254851i | ||||
\(303\) | 0.817277 | + | 2.93917i | 0.0469514 | + | 0.168851i | ||||
\(304\) | 7.76540 | − | 1.65059i | 0.445376 | − | 0.0946676i | ||||
\(305\) | −1.40936 | − | 4.33757i | −0.0806999 | − | 0.248369i | ||||
\(306\) | −10.4469 | + | 3.61320i | −0.597210 | + | 0.206553i | ||||
\(307\) | −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 | ||||
\(309\) | −0.684919 | + | 4.60451i | −0.0389637 | + | 0.261941i | ||||
\(310\) | −0.0333543 | − | 0.317345i | −0.00189440 | − | 0.0180240i | ||||
\(311\) | −6.72598 | − | 1.42965i | −0.381395 | − | 0.0810680i | 0.0132247 | − | 0.999913i | \(-0.495790\pi\) |
−0.394620 | + | 0.918845i | \(0.629124\pi\) | |||||||
\(312\) | 9.81698 | + | 4.88616i | 0.555777 | + | 0.276624i | ||||
\(313\) | 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 | ||||
\(315\) | 5.54398 | + | 11.8466i | 0.312368 | + | 0.667483i | ||||
\(316\) | −2.17455 | − | 6.69256i | −0.122328 | − | 0.376486i | ||||
\(317\) | 10.0301 | + | 4.46567i | 0.563344 | + | 0.250817i | 0.668593 | − | 0.743629i | \(-0.266897\pi\) |
−0.105248 | + | 0.994446i | \(0.533564\pi\) | |||||||
\(318\) | 5.08265 | + | 4.03723i | 0.285021 | + | 0.226397i | ||||
\(319\) | 1.64149 | − | 3.19503i | 0.0919060 | − | 0.178888i | ||||
\(320\) | −0.407582 | + | 0.705953i | −0.0227845 | + | 0.0394640i | ||||
\(321\) | 9.55321 | − | 15.0183i | 0.533208 | − | 0.838238i | ||||
\(322\) | 3.66979 | − | 4.07571i | 0.204509 | − | 0.227131i | ||||
\(323\) | −8.79675 | + | 27.0736i | −0.489464 | + | 1.50642i | ||||
\(324\) | 4.83405 | + | 13.1689i | 0.268558 | + | 0.731605i | ||||
\(325\) | 8.13140 | + | 5.90780i | 0.451049 | + | 0.327706i | ||||
\(326\) | −2.72659 | + | 0.579555i | −0.151012 | + | 0.0320986i | ||||
\(327\) | 2.60536 | + | 3.15613i | 0.144076 | + | 0.174535i | ||||
\(328\) | 0.721351 | + | 6.86319i | 0.0398299 | + | 0.378956i | ||||
\(329\) | 25.0583 | − | 43.4023i | 1.38151 | − | 2.39284i | ||||
\(330\) | 4.26121 | − | 0.0257952i | 0.234572 | − | 0.00141998i | ||||
\(331\) | 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 | ||||
\(333\) | −22.8601 | − | 12.6306i | −1.25273 | − | 0.692153i | ||||
\(334\) | −3.25182 | + | 10.0081i | −0.177931 | + | 0.547617i | ||||
\(335\) | 1.13821 | − | 10.8293i | 0.0621869 | − | 0.591668i | ||||
\(336\) | −7.32711 | + | 7.46637i | −0.399727 | + | 0.407324i | ||||
\(337\) | −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 | ||||
\(339\) | −1.22721 | − | 2.35351i | −0.0666530 | − | 0.127825i | ||||
\(340\) | 4.82678 | + | 8.36023i | 0.261769 | + | 0.453397i | ||||
\(341\) | −1.19390 | − | 0.781045i | −0.0646535 | − | 0.0422960i | ||||
\(342\) | −9.78571 | − | 2.97712i | −0.529151 | − | 0.160984i | ||||
\(343\) | 3.93417 | − | 2.85834i | 0.212425 | − | 0.154336i | ||||
\(344\) | −3.53168 | + | 3.92233i | −0.190416 | + | 0.211478i | ||||
\(345\) | −3.40847 | + | 2.25938i | −0.183506 | + | 0.121641i | ||||
\(346\) | 1.57966 | − | 0.703310i | 0.0849230 | − | 0.0378102i | ||||
\(347\) | −19.6618 | + | 8.75398i | −1.05550 | + | 0.469939i | −0.859750 | − | 0.510715i | \(-0.829381\pi\) |
−0.195749 | + | 0.980654i | \(0.562714\pi\) | |||||||
\(348\) | 0.180502 | + | 2.91832i | 0.00967592 | + | 0.156438i | ||||
\(349\) | −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 | ||||
\(351\) | 7.90531 | + | 11.4517i | 0.421954 | + | 0.611248i | ||||
\(352\) | 6.78127 | + | 17.8448i | 0.361443 | + | 0.951129i | ||||
\(353\) | −1.56543 | − | 2.71140i | −0.0833193 | − | 0.144313i | 0.821355 | − | 0.570418i | \(-0.193219\pi\) |
−0.904674 | + | 0.426105i | \(0.859885\pi\) | |||||||
\(354\) | −1.46696 | + | 2.30615i | −0.0779680 | + | 0.122571i | ||||
\(355\) | −6.89965 | − | 1.46657i | −0.366195 | − | 0.0778372i | ||||
\(356\) | −16.7740 | − | 18.6294i | −0.889018 | − | 0.987355i | ||||
\(357\) | −10.0491 | − | 36.1396i | −0.531855 | − | 1.91271i | ||||
\(358\) | 0.526915 | − | 5.01326i | 0.0278483 | − | 0.264959i | ||||
\(359\) | 2.62315 | − | 8.07323i | 0.138445 | − | 0.426089i | −0.857665 | − | 0.514208i | \(-0.828086\pi\) |
0.996110 | + | 0.0881197i | \(0.0280858\pi\) | |||||||
\(360\) | −6.78268 | + | 4.08812i | −0.357479 | + | 0.215463i | ||||
\(361\) | −5.93893 | + | 4.31489i | −0.312575 | + | 0.227099i | ||||
\(362\) | −0.797247 | − | 1.38087i | −0.0419024 | − | 0.0725770i | ||||
\(363\) | 11.9502 | − | 14.8389i | 0.627224 | − | 0.778839i | ||||
\(364\) | −8.14907 | + | 14.1146i | −0.427127 | + | 0.739806i | ||||
\(365\) | 1.36242 | + | 12.9626i | 0.0713124 | + | 0.678492i | ||||
\(366\) | −4.63474 | + | 0.778858i | −0.242262 | + | 0.0407116i | ||||
\(367\) | 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 | ||||
\(369\) | −3.41066 | + | 8.06576i | −0.177552 | + | 0.419887i | ||||
\(370\) | 1.99561 | − | 6.14185i | 0.103747 | − | 0.319300i | ||||
\(371\) | −14.7384 | + | 16.3687i | −0.765181 | + | 0.849820i | ||||
\(372\) | 1.16024 | + | 0.0498598i | 0.0601558 | + | 0.00258511i | ||||
\(373\) | −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 | ||||
\(375\) | −15.7468 | + | 6.21531i | −0.813161 | + | 0.320957i | ||||
\(376\) | 27.7210 | + | 12.3422i | 1.42960 | + | 0.636499i | ||||
\(377\) | 0.896269 | + | 2.75843i | 0.0461602 | + | 0.142067i | ||||
\(378\) | 12.9152 | − | 3.85459i | 0.664286 | − | 0.198259i | ||||
\(379\) | −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 | ||||
\(381\) | 0.818121 | + | 13.2272i | 0.0419136 | + | 0.677651i | ||||
\(382\) | −10.7336 | − | 2.28150i | −0.549179 | − | 0.116732i | ||||
\(383\) | 1.26633 | + | 12.0484i | 0.0647067 | + | 0.615643i | 0.978038 | + | 0.208426i | \(0.0668340\pi\) |
−0.913331 | + | 0.407217i | \(0.866499\pi\) | |||||||
\(384\) | −14.9549 | − | 11.8789i | −0.763166 | − | 0.606195i | ||||
\(385\) | −0.805292 | + | 14.4377i | −0.0410415 | + | 0.735814i | ||||
\(386\) | 5.40422 | 0.275068 | ||||||||
\(387\) | −6.32980 | + | 2.18925i | −0.321762 | + | 0.111286i | ||||
\(388\) | −3.86080 | − | 11.8823i | −0.196003 | − | 0.603234i | ||||
\(389\) | −14.0375 | + | 2.98376i | −0.711728 | + | 0.151283i | −0.549528 | − | 0.835475i | \(-0.685192\pi\) |
−0.162200 | + | 0.986758i | \(0.551859\pi\) | |||||||
\(390\) | −2.40999 | + | 2.45579i | −0.122034 | + | 0.124354i | ||||
\(391\) | 10.7136 | − | 4.77002i | 0.541812 | − | 0.241230i | ||||
\(392\) | 13.0434 | + | 14.4862i | 0.658792 | + | 0.731663i | ||||
\(393\) | 9.15391 | − | 1.53830i | 0.461754 | − | 0.0775968i | ||||
\(394\) | 13.9021 | + | 6.18960i | 0.700376 | + | 0.311828i | ||||
\(395\) | 5.04123 | 0.253652 | ||||||||
\(396\) | −2.18890 | + | 15.3534i | −0.109996 | + | 0.771538i | ||||
\(397\) | −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 | ||||
\(399\) | 12.1332 | − | 32.5196i | 0.607417 | − | 1.62802i | ||||
\(400\) | −3.88464 | − | 4.31433i | −0.194232 | − | 0.215717i | ||||
\(401\) | −16.6267 | + | 7.40268i | −0.830297 | + | 0.369672i | −0.777461 | − | 0.628931i | \(-0.783493\pi\) |
−0.0528362 | + | 0.998603i | \(0.516826\pi\) | |||||||
\(402\) | −10.8652 | − | 2.80197i | −0.541906 | − | 0.139750i | ||||
\(403\) | 1.12680 | − | 0.239509i | 0.0561301 | − | 0.0119308i | ||||
\(404\) | −0.848352 | − | 2.61096i | −0.0422071 | − | 0.129900i | ||||
\(405\) | −10.0425 | + | 0.378288i | −0.499015 | + | 0.0187973i | ||||
\(406\) | 2.80926 | 0.139421 | ||||||||
\(407\) | −15.6444 | − | 24.2683i | −0.775464 | − | 1.20294i | ||||
\(408\) | 21.1257 | − | 8.33840i | 1.04588 | − | 0.412812i | ||||
\(409\) | −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 | ||||
\(411\) | −24.1544 | + | 16.0113i | −1.19145 | + | 0.789780i | ||||
\(412\) | 0.437891 | − | 4.16626i | 0.0215733 | − | 0.205257i | ||||
\(413\) | −7.50342 | − | 5.45155i | −0.369219 | − | 0.268253i | ||||
\(414\) | 1.78610 | + | 3.81662i | 0.0877820 | + | 0.187577i | ||||
\(415\) | 0.166318 | + | 0.511874i | 0.00816423 | + | 0.0251269i | ||||
\(416\) | −14.0814 | − | 6.26946i | −0.690399 | − | 0.307386i | ||||
\(417\) | −3.50150 | + | 23.5396i | −0.171469 | + | 1.15274i | ||||
\(418\) | −7.96912 | − | 8.02285i | −0.389783 | − | 0.392410i | ||||
\(419\) | 8.70324 | − | 15.0745i | 0.425181 | − | 0.736435i | −0.571256 | − | 0.820772i | \(-0.693544\pi\) |
0.996437 | + | 0.0843365i | \(0.0268771\pi\) | |||||||
\(420\) | −5.44216 | − | 10.4368i | −0.265550 | − | 0.509264i | ||||
\(421\) | 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 | ||||
\(423\) | 23.2159 | + | 30.7208i | 1.12880 | + | 1.49369i | ||||
\(424\) | −10.7893 | − | 7.83890i | −0.523976 | − | 0.380691i | ||||
\(425\) | 20.3622 | − | 4.32812i | 0.987712 | − | 0.209945i | ||||
\(426\) | −2.54087 | + | 6.81009i | −0.123105 | + | 0.329950i | ||||
\(427\) | −1.66701 | − | 15.8606i | −0.0806723 | − | 0.767546i | ||||
\(428\) | −8.00879 | + | 13.8716i | −0.387120 | + | 0.670511i | ||||
\(429\) | 1.70065 | + | 15.2897i | 0.0821080 | + | 0.738192i | ||||
\(430\) | −0.828055 | − | 1.43423i | −0.0399323 | − | 0.0691648i | ||||
\(431\) | −10.1004 | + | 7.33838i | −0.486520 | + | 0.353477i | −0.803844 | − | 0.594840i | \(-0.797216\pi\) |
0.317325 | + | 0.948317i | \(0.397216\pi\) | |||||||
\(432\) | −3.09113 | − | 7.41942i | −0.148722 | − | 0.356967i | ||||
\(433\) | 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 | ||||
\(435\) | −2.02829 | − | 0.523068i | −0.0972492 | − | 0.0250792i | ||||
\(436\) | −2.46435 | − | 2.73694i | −0.118021 | − | 0.131075i | ||||
\(437\) | 10.6146 | + | 2.25620i | 0.507764 | + | 0.107929i | ||||
\(438\) | 13.4186 | + | 0.576646i | 0.641167 | + | 0.0275532i | ||||
\(439\) | 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 | ||||
\(441\) | 5.59753 | + | 24.0947i | 0.266549 | + | 1.14737i | ||||
\(442\) | 7.98309 | − | 5.80005i | 0.379717 | − | 0.275880i | ||||
\(443\) | −14.2054 | + | 15.7767i | −0.674921 | + | 0.749576i | −0.979176 | − | 0.203015i | \(-0.934926\pi\) |
0.304255 | + | 0.952591i | \(0.401593\pi\) | |||||||
\(444\) | 21.0409 | + | 10.4726i | 0.998559 | + | 0.497008i | ||||
\(445\) | 16.4061 | − | 7.30446i | 0.777723 | − | 0.346265i | ||||
\(446\) | 4.16267 | − | 1.85334i | 0.197108 | − | 0.0877583i | ||||
\(447\) | 8.62081 | + | 4.29080i | 0.407751 | + | 0.202948i | ||||
\(448\) | −1.90730 | + | 2.11827i | −0.0901116 | + | 0.100079i | ||||
\(449\) | −20.9494 | + | 15.2206i | −0.988663 | + | 0.718306i | −0.959628 | − | 0.281273i | \(-0.909243\pi\) |
−0.0290350 | + | 0.999578i | \(0.509243\pi\) | |||||||
\(450\) | 1.69261 | + | 7.28586i | 0.0797903 | + | 0.343459i | ||||
\(451\) | −7.54435 | + | 6.06744i | −0.355249 | + | 0.285705i | ||||
\(452\) | 1.19428 | + | 2.06856i | 0.0561744 | + | 0.0972970i | ||||
\(453\) | −0.283634 | − | 0.0121888i | −0.0133263 | − | 0.000572679i | ||||
\(454\) | 18.2789 | + | 3.88530i | 0.857872 | + | 0.182346i | ||||
\(455\) | −7.81266 | − | 8.67684i | −0.366263 | − | 0.406776i | ||||
\(456\) | 20.3498 | + | 5.24793i | 0.952969 | + | 0.245757i | ||||
\(457\) | 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 | ||||
\(459\) | 28.5819 | + | 3.70305i | 1.33409 | + | 0.172844i | ||||
\(460\) | 2.97717 | − | 2.16304i | 0.138811 | − | 0.100852i | ||||
\(461\) | 12.7266 | + | 22.0432i | 0.592738 | + | 1.02665i | 0.993862 | + | 0.110628i | \(0.0352863\pi\) |
−0.401124 | + | 0.916024i | \(0.631380\pi\) | |||||||
\(462\) | 14.5935 | + | 3.00973i | 0.678951 | + | 0.140025i | ||||
\(463\) | 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 | ||||
\(465\) | −0.290822 | + | 0.779469i | −0.0134866 | + | 0.0361470i | ||||
\(466\) | −9.42840 | + | 2.00407i | −0.436762 | + | 0.0928367i | ||||
\(467\) | 14.0582 | + | 10.2139i | 0.650537 | + | 0.472643i | 0.863454 | − | 0.504427i | \(-0.168296\pi\) |
−0.212917 | + | 0.977070i | \(0.568296\pi\) | |||||||
\(468\) | −7.54991 | − | 9.99052i | −0.348995 | − | 0.461812i | ||||
\(469\) | 11.7661 | − | 36.2123i | 0.543308 | − | 1.67213i | ||||
\(470\) | −6.37099 | + | 7.07570i | −0.293872 | + | 0.326378i | ||||
\(471\) | −19.1021 | − | 36.6334i | −0.880179 | − | 1.68798i | ||||
\(472\) | 2.80781 | − | 4.86327i | 0.129240 | − | 0.223850i | ||||
\(473\) | −7.30949 | − | 1.18289i | −0.336091 | − | 0.0543896i | ||||
\(474\) | 0.764314 | − | 5.13826i | 0.0351061 | − | 0.236008i | ||||
\(475\) | 17.5971 | + | 7.83475i | 0.807412 | + | 0.359483i | ||||
\(476\) | 10.4312 | + | 32.1039i | 0.478112 | + | 1.47148i | ||||
\(477\) | −7.17324 | − | 15.3281i | −0.328440 | − | 0.701826i | ||||
\(478\) | −13.5158 | − | 9.81979i | −0.618197 | − | 0.449147i | ||||
\(479\) | 2.28875 | − | 21.7760i | 0.104576 | − | 0.994972i | −0.808863 | − | 0.587997i | \(-0.799917\pi\) |
0.913439 | − | 0.406975i | \(-0.133416\pi\) | |||||||
\(480\) | 9.27859 | − | 6.15053i | 0.423508 | − | 0.280732i | ||||
\(481\) | 22.8047 | + | 4.84729i | 1.03980 | + | 0.221017i | ||||
\(482\) | 1.23203 | + | 11.7219i | 0.0561172 | + | 0.533920i | ||||
\(483\) | −13.3007 | + | 5.24982i | −0.605202 | + | 0.238875i | ||||
\(484\) | −10.1708 | + | 13.8029i | −0.462310 | + | 0.627407i | ||||
\(485\) | 8.95046 | 0.406420 | ||||||||
\(486\) | −1.13700 | + | 10.2931i | −0.0515753 | + | 0.466906i | ||||
\(487\) | 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 | ||||
\(489\) | 7.03748 | + | 1.81487i | 0.318246 | + | 0.0820711i | ||||
\(490\) | −5.58764 | + | 2.48778i | −0.252424 | + | 0.112386i | ||||
\(491\) | −4.83373 | − | 5.36841i | −0.218143 | − | 0.242273i | 0.624134 | − | 0.781318i | \(-0.285452\pi\) |
−0.842277 | + | 0.539045i | \(0.818785\pi\) | |||||||
\(492\) | 2.75480 | − | 7.38349i | 0.124196 | − | 0.332873i | ||||
\(493\) | 5.48781 | + | 2.44333i | 0.247159 | + | 0.110042i | ||||
\(494\) | 9.13071 | 0.410810 | ||||||||
\(495\) | −9.97614 | − | 4.89025i | −0.448394 | − | 0.219800i | ||||
\(496\) | −0.665390 | −0.0298769 | ||||||||
\(497\) | −22.5328 | − | 10.0323i | −1.01074 | − | 0.450009i | ||||
\(498\) | 0.546942 | − | 0.0919125i | 0.0245091 | − | 0.00411870i | ||||
\(499\) | 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 | ||||
\(501\) | 19.2170 | − | 19.5822i | 0.858551 | − | 0.874868i | ||||
\(502\) | −14.2161 | + | 3.02172i | −0.634494 | + | 0.134866i | ||||
\(503\) | −10.1918 | − | 31.3671i | −0.454430 | − | 1.39859i | −0.871803 | − | 0.489856i | \(-0.837049\pi\) |
0.417374 | − | 0.908735i | \(-0.362951\pi\) | |||||||
\(504\) | −26.1711 | + | 9.05162i | −1.16575 | + | 0.403191i | ||||
\(505\) | 1.96673 | 0.0875181 | ||||||||
\(506\) | −0.259440 | + | 4.65138i | −0.0115335 | + | 0.206779i | ||||
\(507\) | 7.90466 | + | 6.27880i | 0.351058 | + | 0.278851i | ||||
\(508\) | −1.24660 | − | 11.8606i | −0.0553090 | − | 0.526230i | ||||
\(509\) | −37.8244 | − | 8.03982i | −1.67654 | − | 0.356359i | −0.731126 | − | 0.682243i | \(-0.761005\pi\) |
−0.945410 | + | 0.325884i | \(0.894338\pi\) | |||||||
\(510\) | 0.439936 | + | 7.11279i | 0.0194807 | + | 0.314960i | ||||
\(511\) | −4.76404 | + | 45.3268i | −0.210749 | + | 2.00514i | ||||
\(512\) | 13.1198 | + | 9.53213i | 0.579821 | + | 0.421264i | ||||
\(513\) | 19.3823 | + | 18.3175i | 0.855751 | + | 0.808736i | ||||
\(514\) | −1.06004 | − | 3.26247i | −0.0467564 | − | 0.143901i | ||||
\(515\) | 2.74165 | + | 1.22066i | 0.120812 | + | 0.0537888i | ||||
\(516\) | 5.60638 | − | 2.21285i | 0.246807 | − | 0.0974155i | ||||
\(517\) | 6.51820 | + | 42.0685i | 0.286670 | + | 1.85017i | ||||
\(518\) | 11.2908 | − | 19.5563i | 0.496091 | − | 0.859255i | ||||
\(519\) | −4.50418 | − | 0.193561i | −0.197711 | − | 0.00849637i | ||||
\(520\) | 4.73037 | − | 5.25361i | 0.207440 | − | 0.230386i | ||||
\(521\) | −5.40297 | + | 16.6286i | −0.236708 | + | 0.728514i | 0.760182 | + | 0.649710i | \(0.225110\pi\) |
−0.996890 | + | 0.0788032i | \(0.974890\pi\) | |||||||
\(522\) | −0.840650 | + | 1.98803i | −0.0367942 | + | 0.0870136i | ||||
\(523\) | −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 | ||||
\(525\) | −25.0311 | + | 4.20642i | −1.09245 | + | 0.183583i | ||||
\(526\) | −1.93726 | − | 18.4318i | −0.0844683 | − | 0.803663i | ||||
\(527\) | 1.19296 | − | 2.06627i | 0.0519663 | − | 0.0900082i | ||||
\(528\) | 0.875316 | − | 8.84267i | 0.0380933 | − | 0.384828i | ||||
\(529\) | 9.26470 | + | 16.0469i | 0.402813 | + | 0.697693i | ||||
\(530\) | 3.38542 | − | 2.45965i | 0.147053 | − | 0.106840i | ||||
\(531\) | 6.10323 | − | 3.67860i | 0.264857 | − | 0.159637i | ||||
\(532\) | −9.65216 | + | 29.7063i | −0.418474 | + | 1.28793i | ||||
\(533\) | 0.817130 | − | 7.77447i | 0.0353938 | − | 0.336750i | ||||
\(534\) | −4.95768 | − | 17.8293i | −0.214540 | − | 0.771549i | ||||
\(535\) | −7.67818 | − | 8.52748i | −0.331956 | − | 0.368675i | ||||
\(536\) | 22.5502 | + | 4.79319i | 0.974021 | + | 0.207034i | ||||
\(537\) | −7.05403 | + | 11.0894i | −0.304404 | + | 0.478543i | ||||
\(538\) | 1.00299 | + | 1.73722i | 0.0432418 | + | 0.0748971i | ||||
\(539\) | −7.16664 | + | 26.3913i | −0.308689 | + | 1.13675i | ||||
\(540\) | 9.01432 | − | 0.728114i | 0.387915 | − | 0.0313330i | ||||
\(541\) | −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 | ||||
\(543\) | 0.256641 | + | 4.14932i | 0.0110135 | + | 0.178064i | ||||
\(544\) | −29.1649 | + | 12.9850i | −1.25043 | + | 0.556729i | ||||
\(545\) | 2.41030 | − | 1.07314i | 0.103246 | − | 0.0459681i | ||||
\(546\) | −10.0283 | + | 6.64751i | −0.429173 | + | 0.284487i | ||||
\(547\) | 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 | ||||
\(549\) | 11.7229 | + | 3.56645i | 0.500319 | + | 0.152213i | ||||
\(550\) | −2.16708 | + | 7.98032i | −0.0924046 | + | 0.340282i | ||||
\(551\) | 2.77927 | + | 4.81383i | 0.118401 | + | 0.205076i | ||||
\(552\) | −4.00301 | − | 7.67685i | −0.170380 | − | 0.326749i | ||||
\(553\) | 17.2427 | + | 3.66504i | 0.733232 | + | 0.155853i | ||||
\(554\) | 4.69605 | + | 5.21549i | 0.199516 | + | 0.221585i | ||||
\(555\) | −11.7933 | + | 12.0174i | −0.500596 | + | 0.510110i | ||||
\(556\) | 2.23863 | − | 21.2991i | 0.0949388 | − | 0.903283i | ||||
\(557\) | 11.4496 | − | 35.2384i | 0.485137 | − | 1.49310i | −0.346645 | − | 0.937996i | \(-0.612679\pi\) |
0.831782 | − | 0.555102i | \(-0.187321\pi\) | |||||||
\(558\) | 0.750379 | + | 0.414597i | 0.0317661 | + | 0.0175513i | ||||
\(559\) | 4.83697 | − | 3.51427i | 0.204582 | − | 0.148638i | ||||
\(560\) | 3.37202 | + | 5.84052i | 0.142494 | + | 0.246807i | ||||
\(561\) | 25.8903 | + | 18.5720i | 1.09309 | + | 0.784110i | ||||
\(562\) | −7.49703 | + | 12.9852i | −0.316243 | + | 0.547749i | ||||
\(563\) | 2.82165 | + | 26.8462i | 0.118918 | + | 1.13143i | 0.877407 | + | 0.479746i | \(0.159271\pi\) |
−0.758489 | + | 0.651686i | \(0.774062\pi\) | |||||||
\(564\) | −22.0598 | − | 26.7232i | −0.928883 | − | 1.12525i | ||||
\(565\) | −1.67376 | + | 0.355768i | −0.0704155 | + | 0.0149673i | ||||
\(566\) | −3.15870 | − | 2.29493i | −0.132770 | − | 0.0964630i | ||||
\(567\) | −34.6236 | − | 6.00715i | −1.45406 | − | 0.252277i | ||||
\(568\) | 4.61492 | − | 14.2033i | 0.193638 | − | 0.595956i | ||||
\(569\) | −18.3848 | + | 20.4184i | −0.770733 | + | 0.855985i | −0.992891 | − | 0.119025i | \(-0.962023\pi\) |
0.222159 | + | 0.975011i | \(0.428690\pi\) | |||||||
\(570\) | −3.53923 | + | 5.56390i | −0.148242 | + | 0.233046i | ||||
\(571\) | 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 | ||||
\(573\) | 22.4030 | + | 17.7950i | 0.935897 | + | 0.743398i | ||||
\(574\) | −6.91709 | − | 3.07969i | −0.288714 | − | 0.128544i | ||||
\(575\) | −2.45223 | − | 7.54719i | −0.102265 | − | 0.314739i | ||||
\(576\) | −0.928290 | − | 1.98361i | −0.0386788 | − | 0.0826506i | ||||
\(577\) | 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 | ||||
\(579\) | −12.6141 | − | 6.27835i | −0.524223 | − | 0.260919i | ||||
\(580\) | 1.84379 | + | 0.391910i | 0.0765594 | + | 0.0162732i | ||||
\(581\) | 0.196723 | + | 1.87169i | 0.00816144 | + | 0.0776509i | ||||
\(582\) | 1.35700 | − | 9.12273i | 0.0562496 | − | 0.378149i | ||||
\(583\) | 1.04195 | − | 18.6807i | 0.0431532 | − | 0.773674i | ||||
\(584\) | −27.5954 | −1.14191 | ||||||||
\(585\) | 8.47820 | − | 2.93230i | 0.350530 | − | 0.121236i | ||||
\(586\) | −1.45632 | − | 4.48210i | −0.0601602 | − | 0.185154i | ||||
\(587\) | 4.97675 | − | 1.05784i | 0.205412 | − | 0.0436618i | −0.104056 | − | 0.994571i | \(-0.533182\pi\) |
0.309469 | + | 0.950910i | \(0.399849\pi\) | |||||||
\(588\) | −5.96353 | − | 21.4466i | −0.245932 | − | 0.884444i | ||||
\(589\) | 2.01687 | − | 0.897969i | 0.0831037 | − | 0.0370002i | ||||
\(590\) | 1.17903 | + | 1.30945i | 0.0485401 | + | 0.0539092i | ||||
\(591\) | −25.2583 | − | 30.5980i | −1.03899 | − | 1.25863i | ||||
\(592\) | −12.3022 | − | 5.47729i | −0.505617 | − | 0.225115i | ||||
\(593\) | 3.46422 | 0.142258 | 0.0711292 | − | 0.997467i | \(-0.477340\pi\) | ||||
0.0711292 | + | 0.997467i | \(0.477340\pi\) | |||||||
\(594\) | −6.49688 | + | 9.42672i | −0.266570 | + | 0.386783i | ||||
\(595\) | −24.1825 | −0.991386 | ||||||||
\(596\) | −7.91653 | − | 3.52466i | −0.324274 | − | 0.144376i | ||||
\(597\) | 10.2234 | + | 12.3846i | 0.418416 | + | 0.506870i | ||||
\(598\) | −2.51700 | − | 2.79541i | −0.102928 | − | 0.114313i | ||||
\(599\) | 22.7243 | − | 10.1175i | 0.928489 | − | 0.413390i | 0.113942 | − | 0.993487i | \(-0.463652\pi\) |
0.814547 | + | 0.580097i | \(0.196985\pi\) | |||||||
\(600\) | −4.11713 | − | 14.8065i | −0.168081 | − | 0.604471i | ||||
\(601\) | −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 | ||||
\(603\) | 22.1054 | + | 19.1627i | 0.900201 | + | 0.780367i | ||||
\(604\) | 0.255479 | 0.0103953 | ||||||||
\(605\) | −7.15276 | − | 9.98532i | −0.290801 | − | 0.405961i | ||||
\(606\) | 0.298180 | − | 2.00458i | 0.0121127 | − | 0.0814304i | ||||
\(607\) | 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 | ||||
\(609\) | −6.55715 | − | 3.26366i | −0.265709 | − | 0.132250i | ||||
\(610\) | −0.316703 | + | 3.01323i | −0.0128229 | + | 0.122002i | ||||
\(611\) | −27.8087 | − | 20.2042i | −1.12502 | − | 0.817375i | ||||
\(612\) | −25.8403 | − | 2.22501i | −1.04453 | − | 0.0899407i | ||||
\(613\) | 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 | ||||
\(615\) | 4.42073 | + | 3.51146i | 0.178261 | + | 0.141596i | ||||
\(616\) | −30.2217 | − | 4.89078i | −1.21767 | − | 0.197055i | ||||
\(617\) | −9.31311 | + | 16.1308i | −0.374932 | + | 0.649401i | −0.990317 | − | 0.138826i | \(-0.955667\pi\) |
0.615385 | + | 0.788227i | \(0.289001\pi\) | |||||||
\(618\) | 1.65982 | − | 2.60935i | 0.0667679 | − | 0.104963i | ||||
\(619\) | 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 | ||||
\(621\) | 0.264990 | − | 10.9834i | 0.0106337 | − | 0.440750i | ||||
\(622\) | 3.69561 | + | 2.68502i | 0.148180 | + | 0.107659i | ||||
\(623\) | 61.4246 | − | 13.0562i | 2.46093 | − | 0.523086i | ||||
\(624\) | 4.56759 | + | 5.53320i | 0.182850 | + | 0.221505i | ||||
\(625\) | −0.820749 | − | 7.80890i | −0.0328299 | − | 0.312356i | ||||
\(626\) | −8.41222 | + | 14.5704i | −0.336220 | + | 0.582350i | ||||
\(627\) | 9.28033 | + | 27.9844i | 0.370621 | + | 1.11759i | ||||
\(628\) | 18.5896 | + | 32.1981i | 0.741805 | + | 1.28484i | ||||
\(629\) | 39.0652 | − | 28.3826i | 1.55763 | − | 1.13169i | ||||
\(630\) | −0.163567 | − | 8.68758i | −0.00651667 | − | 0.346121i | ||||
\(631\) | −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 | ||||
\(633\) | 5.10811 | − | 5.20519i | 0.203029 | − | 0.206888i | ||||
\(634\) | −4.88047 | − | 5.42031i | −0.193828 | − | 0.215268i | ||||
\(635\) | 8.35695 | + | 1.77633i | 0.331636 | + | 0.0704913i | ||||
\(636\) | 7.04150 | + | 13.5040i | 0.279213 | + | 0.535467i | ||||
\(637\) | −11.0407 | − | 19.1230i | −0.437447 | − | 0.757681i | ||||
\(638\) | −1.85951 | + | 1.49549i | −0.0736187 | + | 0.0592069i | ||||
\(639\) | 13.8423 | − | 12.9437i | 0.547593 | − | 0.512045i | ||||
\(640\) | −9.96109 | + | 7.23716i | −0.393747 | + | 0.286074i | ||||
\(641\) | 17.2294 | − | 19.1352i | 0.680521 | − | 0.755795i | −0.299628 | − | 0.954056i | \(-0.596863\pi\) |
0.980149 | + | 0.198261i | \(0.0635293\pi\) | |||||||
\(642\) | −9.85571 | + | 6.53308i | −0.388974 | + | 0.257840i | ||||
\(643\) | −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 | ||||
\(645\) | 0.266558 | + | 4.30966i | 0.0104957 | + | 0.169693i | ||||
\(646\) | 12.6540 | − | 14.0537i | 0.497866 | − | 0.552936i | ||||
\(647\) | −19.2955 | + | 14.0190i | −0.758585 | + | 0.551145i | −0.898476 | − | 0.439022i | \(-0.855325\pi\) |
0.139891 | + | 0.990167i | \(0.455325\pi\) | |||||||
\(648\) | 1.42595 | − | 21.2291i | 0.0560165 | − | 0.833957i | ||||
\(649\) | 7.86876 | − | 0.385882i | 0.308876 | − | 0.0151472i | ||||
\(650\) | −3.33853 | − | 5.78250i | −0.130948 | − | 0.226808i | ||||
\(651\) | −1.56139 | + | 2.45461i | −0.0611958 | + | 0.0962037i | ||||
\(652\) | −6.39733 | − | 1.35979i | −0.250539 | − | 0.0532537i | ||||
\(653\) | 8.51464 | + | 9.45647i | 0.333204 | + | 0.370060i | 0.886344 | − | 0.463028i | \(-0.153237\pi\) |
−0.553140 | + | 0.833088i | \(0.686570\pi\) | |||||||
\(654\) | −0.728358 | − | 2.61939i | −0.0284810 | − | 0.102426i | ||||
\(655\) | 0.625511 | − | 5.95134i | 0.0244407 | − | 0.232538i | ||||
\(656\) | −1.39531 | + | 4.29433i | −0.0544778 | + | 0.167666i | ||||
\(657\) | −30.6507 | − | 16.9350i | −1.19580 | − | 0.660698i | ||||
\(658\) | −26.9350 | + | 19.5694i | −1.05004 | + | 0.762896i | ||||
\(659\) | 13.6263 | + | 23.6015i | 0.530806 | + | 0.919383i | 0.999354 | + | 0.0359452i | \(0.0114442\pi\) |
−0.468547 | + | 0.883438i | \(0.655223\pi\) | |||||||
\(660\) | 9.15822 | + | 4.01125i | 0.356483 | + | 0.156138i | ||||
\(661\) | −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 | ||||
\(663\) | −25.3717 | + | 4.26366i | −0.985354 | + | 0.165587i | ||||
\(664\) | −1.11461 | + | 0.236917i | −0.0432551 | + | 0.00919415i | ||||
\(665\) | −18.1030 | − | 13.1526i | −0.702003 | − | 0.510035i | ||||
\(666\) | 10.4607 | + | 13.8422i | 0.405343 | + | 0.536376i | ||||
\(667\) | 0.707636 | − | 2.17788i | 0.0273998 | − | 0.0843278i | ||||
\(668\) | −16.5209 | + | 18.3483i | −0.639212 | + | 0.709917i | ||||
\(669\) | −11.8693 | − | 0.510066i | −0.458893 | − | 0.0197203i | ||||
\(670\) | −3.61688 | + | 6.26462i | −0.139732 | + | 0.242023i | ||||
\(671\) | 9.54666 | + | 9.61102i | 0.368545 | + | 0.371029i | ||||
\(672\) | 36.2074 | − | 14.2912i | 1.39673 | − | 0.551294i | ||||
\(673\) | −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 | ||||
\(675\) | 4.51360 | − | 18.9724i | 0.173729 | − | 0.730250i | ||||
\(676\) | −7.34946 | − | 5.33970i | −0.282672 | − | 0.205373i | ||||
\(677\) | −2.83095 | + | 26.9347i | −0.108802 | + | 1.03518i | 0.794817 | + | 0.606849i | \(0.207567\pi\) |
−0.903620 | + | 0.428336i | \(0.859100\pi\) | |||||||
\(678\) | 0.108853 | + | 1.75991i | 0.00418046 | + | 0.0675889i | ||||
\(679\) | 30.6135 | + | 6.50711i | 1.17484 | + | 0.249720i | ||||
\(680\) | −1.53050 | − | 14.5617i | −0.0586918 | − | 0.558415i | ||||
\(681\) | −38.1514 | − | 30.3043i | −1.46196 | − | 1.16126i | ||||
\(682\) | 0.513524 | + | 0.796603i | 0.0196638 | + | 0.0305035i | ||||
\(683\) | −16.7343 | −0.640322 | −0.320161 | − | 0.947363i | \(-0.603737\pi\) | ||||
−0.320161 | + | 0.947363i | \(0.603737\pi\) | |||||||
\(684\) | −18.1339 | − | 15.7199i | −0.693366 | − | 0.601065i | ||||
\(685\) | 5.77319 | + | 17.7681i | 0.220582 | + | 0.678883i | ||||
\(686\) | −3.15993 | + | 0.671665i | −0.120647 | + | 0.0256443i | ||||
\(687\) | −17.0264 | + | 17.3500i | −0.649596 | + | 0.661942i | ||||
\(688\) | −3.15485 | + | 1.40463i | −0.120278 | + | 0.0535510i | ||||
\(689\) | 10.1086 | + | 11.2268i | 0.385108 | + | 0.427706i | ||||
\(690\) | 2.67905 | − | 0.450208i | 0.101990 | − | 0.0171391i | ||||
\(691\) | −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 | ||||||||
\(693\) | −30.5664 | − | 23.9791i | −1.16112 | − | 0.910889i | ||||
\(694\) | 14.2978 | 0.542738 | ||||||||
\(695\) | 14.0161 | + | 6.24037i | 0.531661 | + | 0.236711i | ||||
\(696\) | 1.55024 | − | 4.15500i | 0.0587617 | − | 0.157495i | ||||
\(697\) | −10.8338 | − | 12.0322i | −0.410359 | − | 0.455750i | ||||
\(698\) | 10.2078 | − | 4.54481i | 0.386371 | − | 0.172024i | ||||
\(699\) | 24.3352 | + | 6.27570i | 0.920442 | + | 0.237369i | ||||
\(700\) | 22.3423 | − | 4.74899i | 0.844458 | − | 0.179495i | ||||
\(701\) | 3.15219 | + | 9.70143i | 0.119056 | + | 0.366418i | 0.992771 | − | 0.120020i | \(-0.0382959\pi\) |
−0.873715 | + | 0.486438i | \(0.838296\pi\) | |||||||
\(702\) | −1.70333 | − | 9.08595i | −0.0642881 | − | 0.342927i | ||||
\(703\) | 44.6811 | 1.68518 | ||||||||
\(704\) | 0.134839 | − | 2.41747i | 0.00508193 | − | 0.0911117i | ||||
\(705\) | 23.0908 | − | 9.11402i | 0.869651 | − | 0.343254i | ||||
\(706\) | 0.217408 | + | 2.06850i | 0.00818225 | + | 0.0778489i | ||||
\(707\) | 6.72685 | + | 1.42984i | 0.252989 | + | 0.0537745i | ||||
\(708\) | −5.34512 | + | 3.54314i | −0.200882 | + | 0.133159i | ||||
\(709\) | 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 | ||||
\(711\) | −7.75336 | + | 11.1053i | −0.290774 | + | 0.416483i | ||||
\(712\) | 11.7494 | + | 36.1610i | 0.440329 | + | 1.35519i | ||||
\(713\) | −0.830893 | − | 0.369938i | −0.0311172 | − | 0.0138543i | ||||
\(714\) | −3.66637 | + | 24.6479i | −0.137210 | + | 0.922426i | ||||
\(715\) | 9.79040 | + | 1.58438i | 0.366140 | + | 0.0592525i | ||||
\(716\) | 5.91364 | − | 10.2427i | 0.221003 | − | 0.382789i | ||||
\(717\) | 20.1393 | + | 38.6225i | 0.752115 | + | 1.44238i | ||||
\(718\) | −3.77337 | + | 4.19075i | −0.140821 | + | 0.156397i | ||||
\(719\) | 5.94135 | − | 18.2856i | 0.221575 | − | 0.681938i | −0.777046 | − | 0.629444i | \(-0.783283\pi\) |
0.998621 | − | 0.0524943i | \(-0.0167171\pi\) | |||||||
\(720\) | −5.14220 | + | 0.638546i | −0.191638 | + | 0.0237972i | ||||
\(721\) | 8.48991 | + | 6.16828i | 0.316181 | + | 0.229719i | ||||
\(722\) | 4.77016 | − | 1.01393i | 0.177527 | − | 0.0377345i | ||||
\(723\) | 10.7423 | − | 28.7917i | 0.399509 | − | 1.07077i | ||||
\(724\) | −0.391054 | − | 3.72063i | −0.0145334 | − | 0.138276i | ||||
\(725\) | 2.03241 | − | 3.52023i | 0.0754818 | − | 0.130738i | ||||
\(726\) | −11.2620 | + | 5.77652i | −0.417970 | + | 0.214387i | ||||
\(727\) | −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 | ||||
\(729\) | 14.6119 | − | 22.7044i | 0.541182 | − | 0.840905i | ||||
\(730\) | 2.67570 | − | 8.23495i | 0.0990320 | − | 0.304789i | ||||
\(731\) | 1.29439 | − | 12.3153i | 0.0478746 | − | 0.455496i | ||||
\(732\) | −10.6775 | − | 2.75358i | −0.394652 | − | 0.101775i | ||||
\(733\) | −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 | ||||
\(735\) | 15.9324 | + | 0.684672i | 0.587675 | + | 0.0252545i | ||||
\(736\) | 6.08497 | + | 10.5395i | 0.224295 | + | 0.388490i | ||||
\(737\) | 11.4891 | + | 30.2333i | 0.423206 | + | 1.11366i | ||||
\(738\) | 4.24928 | − | 3.97343i | 0.156418 | − | 0.146264i | ||||
\(739\) | 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 | ||||
\(741\) | −21.3121 | − | 10.6076i | −0.782921 | − | 0.389679i | ||||
\(742\) | 13.3674 | − | 5.95157i | 0.490734 | − | 0.218489i | ||||
\(743\) | −30.4510 | + | 13.5577i | −1.11714 | + | 0.497383i | −0.880420 | − | 0.474195i | \(-0.842739\pi\) |
−0.236720 | + | 0.971578i | \(0.576072\pi\) | |||||||
\(744\) | −1.57688 | − | 0.784854i | −0.0578113 | − | 0.0287741i | ||||
\(745\) | 4.15399 | − | 4.61348i | 0.152190 | − | 0.169025i | ||||
\(746\) | 5.91558 | − | 4.29792i | 0.216585 | − | 0.157358i | ||||
\(747\) | −1.38341 | − | 0.420875i | −0.0506162 | − | 0.0153990i | ||||
\(748\) | −23.9948 | − | 15.6973i | −0.877338 | − | 0.573949i | ||||
\(749\) | −20.0623 | − | 34.7489i | −0.733060 | − | 1.26970i | ||||
\(750\) | 11.2359 | + | 0.482848i | 0.410278 | + | 0.0176311i | ||||
\(751\) | 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 | ||||
\(753\) | 36.6924 | + | 9.46246i | 1.33715 | + | 0.344831i | ||||
\(754\) | 0.201404 | − | 1.91623i | 0.00733470 | − | 0.0697851i | ||||
\(755\) | −0.0565572 | + | 0.174065i | −0.00205833 | + | 0.00633488i | ||||
\(756\) | 31.3613 | + | 4.06314i | 1.14060 | + | 0.147775i | ||||
\(757\) | 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 | ||||
\(759\) | 6.00930 | − | 10.5555i | 0.218124 | − | 0.383139i | ||||
\(760\) | 6.77421 | − | 11.7333i | 0.245726 | − | 0.425611i | ||||
\(761\) | −2.10227 | − | 20.0017i | −0.0762071 | − | 0.725062i | −0.964195 | − | 0.265195i | \(-0.914564\pi\) |
0.887988 | − | 0.459867i | \(-0.152103\pi\) | |||||||
\(762\) | 3.07753 | − | 8.24848i | 0.111487 | − | 0.298811i | ||||
\(763\) | 9.02421 | − | 1.91815i | 0.326698 | − | 0.0694419i | ||||
\(764\) | −20.8294 | − | 15.1335i | −0.753583 | − | 0.547510i | ||||
\(765\) | 7.23642 | − | 17.1132i | 0.261633 | − | 0.618729i | ||||
\(766\) | 2.48699 | − | 7.65417i | 0.0898586 | − | 0.276556i | ||||
\(767\) | −4.25651 | + | 4.72733i | −0.153694 | + | 0.170694i | ||||
\(768\) | 7.03547 | + | 13.4924i | 0.253871 | + | 0.486865i | ||||
\(769\) | −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 | ||||
\(771\) | −1.31591 | + | 8.84649i | −0.0473914 | + | 0.318598i | ||||
\(772\) | 11.5836 | + | 5.15733i | 0.416902 | + | 0.185617i | ||||
\(773\) | 8.88046 | + | 27.3313i | 0.319408 | + | 0.983037i | 0.973902 | + | 0.226970i | \(0.0728818\pi\) |
−0.654494 | + | 0.756067i | \(0.727118\pi\) | |||||||
\(774\) | 4.43302 | + | 0.381710i | 0.159342 | + | 0.0137203i | ||||
\(775\) | −1.30613 | − | 0.948959i | −0.0469176 | − | 0.0340876i | ||||
\(776\) | −1.98080 | + | 18.8460i | −0.0711064 | + | 0.676533i | ||||
\(777\) | −49.0737 | + | 32.5296i | −1.76051 | + | 1.16699i | ||||
\(778\) | 9.32539 | + | 1.98217i | 0.334331 | + | 0.0710643i | ||||
\(779\) | −1.56601 | − | 14.8996i | −0.0561083 | − | 0.533834i | ||||
\(780\) | −7.50923 | + | 2.96392i | −0.268874 | + | 0.106125i | ||||
\(781\) | 20.2556 | − | 5.35460i | 0.724801 | − | 0.191603i | ||||
\(782\) | −7.79085 | −0.278600 | ||||||||
\(783\) | 4.27176 | − | 3.66366i | 0.152660 | − | 0.130929i | ||||
\(784\) | 3.94131 | + | 12.1301i | 0.140761 | + | 0.433218i | ||||
\(785\) | −26.0528 | + | 5.53769i | −0.929864 | + | 0.197649i | ||||
\(786\) | −5.97104 | − | 1.53985i | −0.212980 | − | 0.0549245i | ||||
\(787\) | −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 | ||||
\(789\) | −16.8913 | + | 45.2725i | −0.601346 | + | 1.61174i | ||||
\(790\) | −3.05946 | − | 1.36216i | −0.108851 | − | 0.0484634i | ||||
\(791\) | −5.98345 | −0.212747 | ||||||||
\(792\) | 12.5047 | − | 19.9234i | 0.444334 | − | 0.707948i | ||||
\(793\) | −10.9382 | −0.388426 | ||||||||
\(794\) | 3.05800 | + | 1.36151i | 0.108524 | + | 0.0483181i | ||||
\(795\) | −10.7595 | + | 1.80811i | −0.381599 | + | 0.0641269i | ||||
\(796\) | −9.67008 | − | 10.7397i | −0.342747 | − | 0.380659i | ||||
\(797\) | 23.8935 | − | 10.6381i | 0.846351 | − | 0.376820i | 0.0627086 | − | 0.998032i | \(-0.480026\pi\) |
0.783642 | + | 0.621212i | \(0.213359\pi\) | |||||||
\(798\) | −16.1504 | + | 16.4573i | −0.571717 | + | 0.582582i | ||||
\(799\) | −69.6371 | + | 14.8018i | −2.46358 | + | 0.523651i | ||||
\(800\) | 6.67551 | + | 20.5451i | 0.236015 | + | 0.726379i | ||||
\(801\) | −9.14137 | + | 47.3752i | −0.322994 | + | 1.67392i | ||||
\(802\) | 12.0908 | 0.426939 | ||||||||
\(803\) | −20.9759 | − | 32.5388i | −0.740223 | − | 1.14827i | ||||
\(804\) | −20.6148 | − | 16.3746i | −0.727026 | − | 0.577489i | ||||
\(805\) | 0.963594 | + | 9.16798i | 0.0339622 | + | 0.323129i | ||||
\(806\) | −0.748559 | − | 0.159111i | −0.0263669 | − | 0.00560445i | ||||
\(807\) | −0.322870 | − | 5.22010i | −0.0113656 | − | 0.183756i | ||||
\(808\) | −0.435249 | + | 4.14112i | −0.0153120 | + | 0.145684i | ||||
\(809\) | −12.8256 | − | 9.31836i | −0.450925 | − | 0.327616i | 0.339036 | − | 0.940773i | \(-0.389899\pi\) |
−0.789961 | + | 0.613157i | \(0.789899\pi\) | |||||||
\(810\) | 6.19687 | + | 2.48394i | 0.217736 | + | 0.0872766i | ||||
\(811\) | −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 | ||||
\(813\) | −40.8812 | + | 16.1360i | −1.43377 | + | 0.565913i | ||||
\(814\) | 2.93699 | + | 18.9553i | 0.102941 | + | 0.664383i | ||||
\(815\) | 2.34269 | − | 4.05766i | 0.0820608 | − | 0.142134i | ||||
\(816\) | 14.8466 | + | 0.638013i | 0.519736 | + | 0.0223349i | ||||
\(817\) | 7.66710 | − | 8.51517i | 0.268238 | − | 0.297908i | ||||
\(818\) | −3.37295 | + | 10.3809i | −0.117932 | + | 0.362958i | ||||
\(819\) | 31.1300 | − | 3.86566i | 1.08777 | − | 0.135077i | ||||
\(820\) | −4.11023 | − | 2.98626i | −0.143535 | − | 0.104285i | ||||
\(821\) | 15.9993 | − | 3.40076i | 0.558379 | − | 0.118687i | 0.0799271 | − | 0.996801i | \(-0.474531\pi\) |
0.478452 | + | 0.878113i | \(0.341198\pi\) | |||||||
\(822\) | 18.9853 | − | 3.19045i | 0.662189 | − | 0.111280i | ||||
\(823\) | 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 | ||||
\(825\) | 14.3293 | − | 16.1094i | 0.498884 | − | 0.560857i | ||||
\(826\) | 3.08070 | + | 5.33592i | 0.107191 | + | 0.185661i | ||||
\(827\) | −4.48139 | + | 3.25592i | −0.155833 | + | 0.113219i | −0.662969 | − | 0.748647i | \(-0.730704\pi\) |
0.507136 | + | 0.861866i | \(0.330704\pi\) | |||||||
\(828\) | 0.186115 | + | 9.88515i | 0.00646793 | + | 0.343533i | ||||
\(829\) | 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 | ||||
\(831\) | −4.90204 | − | 17.6292i | −0.170050 | − | 0.611550i | ||||
\(832\) | 1.30816 | + | 1.45286i | 0.0453523 | + | 0.0503688i | ||||
\(833\) | −44.7346 | − | 9.50862i | −1.54996 | − | 0.329454i | ||||
\(834\) | 8.48549 | − | 13.3397i | 0.293829 | − | 0.461918i | ||||
\(835\) | −8.84388 | − | 15.3180i | −0.306055 | − | 0.530103i | ||||
\(836\) | −9.42492 | − | 24.8015i | −0.325968 | − | 0.857776i | ||||
\(837\) | −1.26981 | − | 1.83947i | −0.0438912 | − | 0.0635813i | ||||
\(838\) | −9.35505 | + | 6.79684i | −0.323165 | + | 0.234793i | ||||
\(839\) | −12.0211 | + | 13.3508i | −0.415015 | + | 0.460921i | −0.914015 | − | 0.405681i | \(-0.867034\pi\) |
0.498999 | + | 0.866602i | \(0.333701\pi\) | |||||||
\(840\) | 1.10211 | + | 17.8186i | 0.0380263 | + | 0.614802i | ||||
\(841\) | −25.4213 | + | 11.3183i | −0.876595 | + | 0.390285i | ||||
\(842\) | −2.76051 | + | 1.22906i | −0.0951336 | + | 0.0423562i | ||||
\(843\) | 32.5845 | − | 21.5994i | 1.12227 | − | 0.743922i | ||||
\(844\) | −4.39146 | + | 4.87721i | −0.151160 | + | 0.167881i | ||||
\(845\) | 5.26509 | − | 3.82531i | 0.181125 | − | 0.131595i | ||||
\(846\) | −5.78858 | − | 24.9170i | −0.199015 | − | 0.856666i | ||||
\(847\) | −17.2053 | − | 39.3532i | −0.591182 | − | 1.35219i | ||||
\(848\) | −4.36299 | − | 7.55692i | −0.149826 | − | 0.259506i | ||||
\(849\) | 4.70664 | + | 9.02624i | 0.161531 | + | 0.309780i | ||||
\(850\) | −13.5270 | − | 2.87526i | −0.463973 | − | 0.0986206i | ||||
\(851\) | −12.3169 | − | 13.6793i | −0.422218 | − | 0.468921i | ||||
\(852\) | −11.9451 | + | 12.1722i | −0.409234 | + | 0.417011i | ||||
\(853\) | −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 | ||||
\(855\) | 14.7248 | − | 8.87510i | 0.503579 | − | 0.303522i | ||||
\(856\) | 19.6546 | − | 14.2799i | 0.671781 | − | 0.488077i | ||||
\(857\) | 4.24983 | + | 7.36093i | 0.145172 | + | 0.251445i | 0.929437 | − | 0.368981i | \(-0.120293\pi\) |
−0.784265 | + | 0.620426i | \(0.786960\pi\) | |||||||
\(858\) | 3.09922 | − | 9.73862i | 0.105806 | − | 0.332471i | ||||
\(859\) | −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 | ||||
\(861\) | 12.5675 | + | 15.2243i | 0.428298 | + | 0.518842i | ||||
\(862\) | 8.11267 | − | 1.72440i | 0.276318 | − | 0.0587333i | ||||
\(863\) | −10.9978 | − | 7.99035i | −0.374368 | − | 0.271995i | 0.384652 | − | 0.923062i | \(-0.374322\pi\) |
−0.759020 | + | 0.651067i | \(0.774322\pi\) | |||||||
\(864\) | −0.721361 | + | 29.8993i | −0.0245412 | + | 1.01720i | ||||
\(865\) | −0.898141 | + | 2.76419i | −0.0305377 | + | 0.0939854i | ||||
\(866\) | −12.7515 | + | 14.1620i | −0.433313 | + | 0.481243i | ||||
\(867\) | −12.7958 | + | 20.1158i | −0.434568 | + | 0.683169i | ||||
\(868\) | 1.30897 | − | 2.26720i | 0.0444293 | − | 0.0769538i | ||||
\(869\) | −13.3643 | + | 6.75301i | −0.453354 | + | 0.229080i | ||||
\(870\) | 1.08961 | + | 0.865495i | 0.0369412 | + | 0.0293430i | ||||
\(871\) | −23.8573 | − | 10.6220i | −0.808374 | − | 0.359911i | ||||
\(872\) | 1.72617 | + | 5.31260i | 0.0584555 | + | 0.179907i | ||||
\(873\) | −13.7657 | + | 19.7170i | −0.465899 | + | 0.667320i | ||||
\(874\) | −5.83221 | − | 4.23735i | −0.197278 | − | 0.143331i | ||||
\(875\) | −3.98911 | + | 37.9538i | −0.134856 | + | 1.28307i | ||||
\(876\) | 28.2116 | + | 14.0416i | 0.953180 | + | 0.474422i | ||||
\(877\) | −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 | ||||
\(879\) | −1.80785 | + | 12.1536i | −0.0609772 | + | 0.409932i | ||||
\(880\) | −5.34116 | − | 2.07089i | −0.180051 | − | 0.0698098i | ||||
\(881\) | 26.6423 | 0.897601 | 0.448800 | − | 0.893632i | \(-0.351851\pi\) | ||||
0.448800 | + | 0.893632i | \(0.351851\pi\) | |||||||
\(882\) | 3.11340 | − | 16.1352i | 0.104834 | − | 0.543301i | ||||
\(883\) | −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 | ||||
\(885\) | −1.23075 | − | 4.42615i | −0.0413713 | − | 0.148783i | ||||
\(886\) | 12.8840 | − | 5.73634i | 0.432847 | − | 0.192716i | ||||
\(887\) | −21.4130 | − | 23.7815i | −0.718977 | − | 0.798505i | 0.267299 | − | 0.963614i | \(-0.413869\pi\) |
−0.986275 | + | 0.165109i | \(0.947202\pi\) | |||||||
\(888\) | −22.6938 | − | 27.4913i | −0.761554 | − | 0.922549i | ||||
\(889\) | 27.2921 | + | 12.1512i | 0.915348 | + | 0.407539i | ||||
\(890\) | −11.9303 | −0.399906 | ||||||||
\(891\) | 26.1160 | − | 14.4553i | 0.874918 | − | 0.484272i | ||||
\(892\) | 10.6911 | 0.357963 | ||||||||
\(893\) | −60.1807 | − | 26.7942i | −2.01387 | − | 0.896633i | ||||
\(894\) | −4.07247 | − | 4.93340i | −0.136204 | − | 0.164998i | ||||
\(895\) | 5.66951 | + | 6.29663i | 0.189511 | + | 0.210473i | ||||
\(896\) | −39.3317 | + | 17.5116i | −1.31398 | + | 0.585022i | ||||
\(897\) | 2.62740 | + | 9.44892i | 0.0877263 | + | 0.315490i | ||||
\(898\) | 16.8266 | − | 3.57660i | 0.561510 | − | 0.119353i | ||||
\(899\) | −0.143966 | − | 0.443082i | −0.00480153 | − | 0.0147776i | ||||
\(900\) | −3.32503 | + | 17.2320i | −0.110834 | + | 0.574400i | ||||
\(901\) | 31.2892 | 1.04239 | ||||||||
\(902\) | 6.21801 | − | 1.64374i | 0.207037 | − | 0.0547307i | ||||
\(903\) | −2.22146 | + | 14.9342i | −0.0739256 | + | 0.496980i | ||||
\(904\) | −0.378689 | − | 3.60298i | −0.0125950 | − | 0.119833i | ||||
\(905\) | 2.62154 | + | 0.557225i | 0.0871429 | + | 0.0185228i | ||||
\(906\) | 0.168841 | + | 0.0840362i | 0.00560935 | + | 0.00279192i | ||||
\(907\) | 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 | ||||
\(909\) | −3.02480 | + | 4.33251i | −0.100326 | + | 0.143700i | ||||
\(910\) | 2.39689 | + | 7.37687i | 0.0794561 | + | 0.244541i | ||||
\(911\) | −21.3599 | − | 9.51002i | −0.707684 | − | 0.315081i | 0.0211457 | − | 0.999776i | \(-0.493269\pi\) |
−0.728829 | + | 0.684695i | \(0.759935\pi\) | |||||||
\(912\) | 10.7672 | + | 8.55253i | 0.356536 | + | 0.283203i | ||||
\(913\) | −1.12659 | − | 1.13419i | −0.0372849 | − | 0.0375362i | ||||
\(914\) | −3.42253 | + | 5.92800i | −0.113207 | + | 0.196081i | ||||
\(915\) | 4.23984 | − | 6.66531i | 0.140165 | − | 0.220348i | ||||
\(916\) | 14.6376 | − | 16.2567i | 0.483641 | − | 0.537137i | ||||
\(917\) | 6.46615 | − | 19.9008i | 0.213531 | − | 0.657181i | ||||
\(918\) | −16.3454 | − | 9.97027i | −0.539479 | − | 0.329068i | ||||
\(919\) | 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 | ||||
\(921\) | −20.4396 | − | 24.7606i | −0.673507 | − | 0.815888i | ||||
\(922\) | −1.76748 | − | 16.8165i | −0.0582090 | − | 0.553821i | ||||
\(923\) | −8.45857 | + | 14.6507i | −0.278417 | + | 0.482233i | ||||
\(924\) | 28.4079 | + | 20.3780i | 0.934551 | + | 0.670386i | ||||
\(925\) | −16.3371 | − | 28.2967i | −0.537160 | − | 0.930389i | ||||
\(926\) | −21.4202 | + | 15.5627i | −0.703910 | + | 0.511421i | ||||
\(927\) | −6.90563 | + | 4.16223i | −0.226811 | + | 0.136706i | ||||
\(928\) | −1.92634 | + | 5.92866i | −0.0632352 | + | 0.194618i | ||||
\(929\) | 1.55504 | − | 14.7953i | 0.0510193 | − | 0.485417i | −0.938942 | − | 0.344076i | \(-0.888192\pi\) |
0.989961 | − | 0.141340i | \(-0.0451412\pi\) | |||||||
\(930\) | 0.387111 | − | 0.394468i | 0.0126939 | − | 0.0129351i | ||||
\(931\) | −28.3166 | − | 31.4487i | −0.928038 | − | 1.03069i | ||||
\(932\) | −22.1216 | − | 4.70209i | −0.724618 | − | 0.154022i | ||||
\(933\) | −5.50667 | − | 10.5605i | −0.180280 | − | 0.345736i | ||||
\(934\) | −5.77192 | − | 9.99727i | −0.188863 | − | 0.327121i | ||||
\(935\) | 16.0069 | − | 12.8733i | 0.523482 | − | 0.421003i | ||||
\(936\) | 4.29794 | + | 18.5006i | 0.140482 | + | 0.604710i | ||||
\(937\) | −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 | ||||
\(939\) | 36.5623 | − | 24.2361i | 1.19316 | − | 0.790916i | ||||
\(940\) | −20.4082 | + | 9.08632i | −0.665643 | + | 0.296363i | ||||
\(941\) | 38.9710 | − | 17.3510i | 1.27042 | − | 0.565627i | 0.342890 | − | 0.939376i | \(-0.388594\pi\) |
0.927530 | + | 0.373748i | \(0.121928\pi\) | |||||||
\(942\) | 1.69434 | + | 27.3938i | 0.0552047 | + | 0.892539i | ||||
\(943\) | −4.12989 | + | 4.58671i | −0.134488 | + | 0.149364i | ||||
\(944\) | 2.97257 | − | 2.15970i | 0.0967491 | − | 0.0702923i | ||||
\(945\) | −9.71100 | + | 20.4678i | −0.315899 | + | 0.665819i | ||||
\(946\) | 4.11641 | + | 2.69293i | 0.133836 | + | 0.0875548i | ||||
\(947\) | −3.44670 | − | 5.96986i | −0.112003 | − | 0.193994i | 0.804575 | − | 0.593851i | \(-0.202393\pi\) |
−0.916578 | + | 0.399857i | \(0.869060\pi\) | |||||||
\(948\) | 6.54177 | − | 10.2841i | 0.212467 | − | 0.334012i | ||||
\(949\) | 30.5764 | + | 6.49921i | 0.992551 | + | 0.210973i | ||||
\(950\) | −8.56249 | − | 9.50961i | −0.277804 | − | 0.308533i | ||||
\(951\) | 5.09455 | + | 18.3215i | 0.165202 | + | 0.594116i | ||||
\(952\) | 5.35175 | − | 50.9185i | 0.173451 | − | 1.65028i | ||||
\(953\) | −7.31766 | + | 22.5214i | −0.237042 | + | 0.729541i | 0.759802 | + | 0.650155i | \(0.225296\pi\) |
−0.996844 | + | 0.0793863i | \(0.974704\pi\) | |||||||
\(954\) | 0.211636 | + | 11.2407i | 0.00685197 | + | 0.363930i | ||||
\(955\) | 14.9220 | − | 10.8415i | 0.482866 | − | 0.350822i | ||||
\(956\) | −19.5989 | − | 33.9463i | −0.633874 | − | 1.09790i | ||||
\(957\) | 6.07770 | − | 1.33036i | 0.196464 | − | 0.0430043i | ||||
\(958\) | −7.27297 | + | 12.5972i | −0.234979 | + | 0.406996i | ||||
\(959\) | 6.82860 | + | 64.9698i | 0.220507 | + | 2.09798i | ||||
\(960\) | −1.39238 | + | 0.233987i | −0.0449390 | + | 0.00755190i | ||||
\(961\) | 30.1416 | − | 6.40679i | 0.972309 | − | 0.206671i | ||||
\(962\) | −12.5301 | − | 9.10366i | −0.403987 | − | 0.293514i | ||||
\(963\) | 30.5942 | − | 3.79911i | 0.985884 | − | 0.122425i | ||||
\(964\) | −8.54567 | + | 26.3009i | −0.275238 | + | 0.847094i | ||||
\(965\) | −6.07817 | + | 6.75050i | −0.195663 | + | 0.217306i | ||||
\(966\) | 9.49053 | + | 0.407842i | 0.305353 | + | 0.0131221i | ||||
\(967\) | 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 | ||||
\(969\) | −45.8628 | + | 18.1022i | −1.47333 | + | 0.581527i | ||||
\(970\) | −5.43192 | − | 2.41845i | −0.174408 | − | 0.0776516i | ||||
\(971\) | 4.12687 | + | 12.7012i | 0.132438 | + | 0.407601i | 0.995183 | − | 0.0980383i | \(-0.0312568\pi\) |
−0.862745 | + | 0.505639i | \(0.831257\pi\) | |||||||
\(972\) | −12.2600 | + | 20.9775i | −0.393239 | + | 0.672854i | ||||
\(973\) | 43.4028 | + | 31.5340i | 1.39143 | + | 1.01093i | ||||
\(974\) | 0.227151 | − | 2.16119i | 0.00727838 | − | 0.0692491i | ||||
\(975\) | 1.07470 | + | 17.3756i | 0.0344180 | + | 0.556463i | ||||
\(976\) | 6.17991 | + | 1.31358i | 0.197814 | + | 0.0420467i | ||||
\(977\) | 0.931968 | + | 8.86709i | 0.0298163 | + | 0.283683i | 0.999263 | + | 0.0383817i | \(0.0122203\pi\) |
−0.969447 | + | 0.245302i | \(0.921113\pi\) | |||||||
\(978\) | −3.78057 | − | 3.00297i | −0.120889 | − | 0.0960244i | ||||
\(979\) | −33.7079 | + | 41.3411i | −1.07731 | + | 1.32127i | ||||
\(980\) | −14.3508 | −0.458421 | ||||||||
\(981\) | −1.34301 | + | 6.96014i | −0.0428789 | + | 0.222220i | ||||
\(982\) | 1.48297 | + | 4.56411i | 0.0473234 | + | 0.145647i | ||||
\(983\) | 16.4901 | − | 3.50509i | 0.525954 | − | 0.111795i | 0.0627203 | − | 0.998031i | \(-0.480022\pi\) |
0.463234 | + | 0.886236i | \(0.346689\pi\) | |||||||
\(984\) | −8.37203 | + | 8.53114i | −0.266891 | + | 0.271963i | ||||
\(985\) | −23.3673 | + | 10.4038i | −0.744544 | + | 0.331492i | ||||
\(986\) | −2.67029 | − | 2.96565i | −0.0850392 | − | 0.0944456i | ||||
\(987\) | 85.6042 | − | 14.3856i | 2.72481 | − | 0.457899i | ||||
\(988\) | 19.5710 | + | 8.71358i | 0.622637 | + | 0.277216i | ||||
\(989\) | −4.72049 | −0.150103 | ||||||||
\(990\) | 4.73303 | + | 5.66342i | 0.150425 | + | 0.179995i | ||||
\(991\) | −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 | ||||
\(993\) | −2.24642 | + | 6.02092i | −0.0712881 | + | 0.191068i | ||||
\(994\) | 10.9641 | + | 12.1769i | 0.347761 | + | 0.386228i | ||||
\(995\) | 9.45801 | − | 4.21098i | 0.299839 | − | 0.133497i | ||||
\(996\) | 1.26004 | + | 0.324948i | 0.0399260 | + | 0.0102964i | ||||
\(997\) | 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 | ||||
\(999\) | −8.33526 | − | 44.4621i | −0.263716 | − | 1.40672i |
(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 | 99.2.m.b.58.4 | yes | 72 | |
3.2 | odd | 2 | 297.2.n.b.91.6 | 72 | |||
9.2 | odd | 6 | 297.2.n.b.289.4 | 72 | |||
9.4 | even | 3 | 891.2.f.f.487.6 | 36 | |||
9.5 | odd | 6 | 891.2.f.e.487.4 | 36 | |||
9.7 | even | 3 | inner | 99.2.m.b.25.6 | yes | 72 | |
11.2 | odd | 10 | 1089.2.e.o.364.8 | 36 | |||
11.4 | even | 5 | inner | 99.2.m.b.4.6 | ✓ | 72 | |
11.9 | even | 5 | 1089.2.e.p.364.11 | 36 | |||
33.26 | odd | 10 | 297.2.n.b.37.4 | 72 | |||
99.4 | even | 15 | 891.2.f.f.730.6 | 36 | |||
99.13 | odd | 30 | 9801.2.a.co.1.11 | 18 | |||
99.31 | even | 15 | 9801.2.a.cm.1.8 | 18 | |||
99.59 | odd | 30 | 891.2.f.e.730.4 | 36 | |||
99.68 | even | 30 | 9801.2.a.cn.1.8 | 18 | |||
99.70 | even | 15 | inner | 99.2.m.b.70.4 | yes | 72 | |
99.79 | odd | 30 | 1089.2.e.o.727.8 | 36 | |||
99.86 | odd | 30 | 9801.2.a.cp.1.11 | 18 | |||
99.92 | odd | 30 | 297.2.n.b.235.6 | 72 | |||
99.97 | even | 15 | 1089.2.e.p.727.11 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.4.6 | ✓ | 72 | 11.4 | even | 5 | inner | |
99.2.m.b.25.6 | yes | 72 | 9.7 | even | 3 | inner | |
99.2.m.b.58.4 | yes | 72 | 1.1 | even | 1 | trivial | |
99.2.m.b.70.4 | yes | 72 | 99.70 | even | 15 | inner | |
297.2.n.b.37.4 | 72 | 33.26 | odd | 10 | |||
297.2.n.b.91.6 | 72 | 3.2 | odd | 2 | |||
297.2.n.b.235.6 | 72 | 99.92 | odd | 30 | |||
297.2.n.b.289.4 | 72 | 9.2 | odd | 6 | |||
891.2.f.e.487.4 | 36 | 9.5 | odd | 6 | |||
891.2.f.e.730.4 | 36 | 99.59 | odd | 30 | |||
891.2.f.f.487.6 | 36 | 9.4 | even | 3 | |||
891.2.f.f.730.6 | 36 | 99.4 | even | 15 | |||
1089.2.e.o.364.8 | 36 | 11.2 | odd | 10 | |||
1089.2.e.o.727.8 | 36 | 99.79 | odd | 30 | |||
1089.2.e.p.364.11 | 36 | 11.9 | even | 5 | |||
1089.2.e.p.727.11 | 36 | 99.97 | even | 15 | |||
9801.2.a.cm.1.8 | 18 | 99.31 | even | 15 | |||
9801.2.a.cn.1.8 | 18 | 99.68 | even | 30 | |||
9801.2.a.co.1.11 | 18 | 99.13 | odd | 30 | |||
9801.2.a.cp.1.11 | 18 | 99.86 | odd | 30 |