Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(25,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 20, 24]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.y (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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 235.2 | ||
Character | \(\chi\) | \(=\) | 462.235 |
Dual form | 462.2.y.a.289.2 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.104528 | − | 0.994522i | 0.0739128 | − | 0.703233i | ||||
\(3\) | −0.669131 | − | 0.743145i | −0.386323 | − | 0.429055i | ||||
\(4\) | −0.978148 | − | 0.207912i | −0.489074 | − | 0.103956i | ||||
\(5\) | 1.10227 | + | 0.490763i | 0.492951 | + | 0.219476i | 0.638129 | − | 0.769930i | \(-0.279709\pi\) |
−0.145178 | + | 0.989406i | \(0.546375\pi\) | |||||||
\(6\) | −0.809017 | + | 0.587785i | −0.330280 | + | 0.239962i | ||||
\(7\) | 0.798293 | + | 2.52244i | 0.301726 | + | 0.953395i | ||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | 0.603294 | − | 1.04494i | 0.190778 | − | 0.330438i | ||||
\(11\) | 3.21216 | + | 0.825846i | 0.968503 | + | 0.249002i | ||||
\(12\) | 0.500000 | + | 0.866025i | 0.144338 | + | 0.250000i | ||||
\(13\) | 3.40301 | + | 2.47243i | 0.943824 | + | 0.685728i | 0.949338 | − | 0.314256i | \(-0.101755\pi\) |
−0.00551388 | + | 0.999985i | \(0.501755\pi\) | |||||||
\(14\) | 2.59207 | − | 0.530253i | 0.692760 | − | 0.141716i | ||||
\(15\) | −0.372856 | − | 1.14753i | −0.0962710 | − | 0.296292i | ||||
\(16\) | 0.913545 | + | 0.406737i | 0.228386 | + | 0.101684i | ||||
\(17\) | −0.453210 | − | 4.31200i | −0.109920 | − | 1.04581i | −0.900916 | − | 0.433994i | \(-0.857104\pi\) |
0.790996 | − | 0.611821i | \(-0.209563\pi\) | |||||||
\(18\) | 0.978148 | + | 0.207912i | 0.230552 | + | 0.0490053i | ||||
\(19\) | 0.0256144 | − | 0.00544450i | 0.00587634 | − | 0.00124905i | −0.204973 | − | 0.978768i | \(-0.565711\pi\) |
0.210849 | + | 0.977519i | \(0.432377\pi\) | |||||||
\(20\) | −0.976150 | − | 0.709214i | −0.218274 | − | 0.158585i | ||||
\(21\) | 1.34038 | − | 2.28109i | 0.292495 | − | 0.497775i | ||||
\(22\) | 1.15708 | − | 3.10824i | 0.246691 | − | 0.662679i | ||||
\(23\) | 2.68364 | + | 4.64819i | 0.559577 | + | 0.969215i | 0.997532 | + | 0.0702183i | \(0.0223696\pi\) |
−0.437955 | + | 0.898997i | \(0.644297\pi\) | |||||||
\(24\) | 0.913545 | − | 0.406737i | 0.186477 | − | 0.0830248i | ||||
\(25\) | −2.37150 | − | 2.63381i | −0.474299 | − | 0.526763i | ||||
\(26\) | 2.81460 | − | 3.12593i | 0.551988 | − | 0.613044i | ||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | −0.256403 | − | 2.63330i | −0.0484555 | − | 0.497647i | ||||
\(29\) | −0.918447 | − | 2.82669i | −0.170551 | − | 0.524903i | 0.828851 | − | 0.559469i | \(-0.188995\pi\) |
−0.999402 | + | 0.0345664i | \(0.988995\pi\) | |||||||
\(30\) | −1.18022 | + | 0.250864i | −0.215478 | + | 0.0458012i | ||||
\(31\) | 2.45698 | − | 1.09392i | 0.441286 | − | 0.196473i | −0.174052 | − | 0.984736i | \(-0.555686\pi\) |
0.615338 | + | 0.788263i | \(0.289019\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −1.53563 | − | 2.93970i | −0.267319 | − | 0.511736i | ||||
\(34\) | −4.33575 | −0.743576 | ||||||||
\(35\) | −0.357987 | + | 3.17219i | −0.0605108 | + | 0.536199i | ||||
\(36\) | 0.309017 | − | 0.951057i | 0.0515028 | − | 0.158509i | ||||
\(37\) | −4.33319 | + | 4.81250i | −0.712372 | + | 0.791169i | −0.985294 | − | 0.170867i | \(-0.945343\pi\) |
0.272922 | + | 0.962036i | \(0.412010\pi\) | |||||||
\(38\) | −0.00273725 | − | 0.0260432i | −0.000444040 | − | 0.00422476i | ||||
\(39\) | −0.439683 | − | 4.18331i | −0.0704056 | − | 0.669865i | ||||
\(40\) | −0.807365 | + | 0.896669i | −0.127656 | + | 0.141776i | ||||
\(41\) | 0.792855 | − | 2.44016i | 0.123823 | − | 0.381088i | −0.869862 | − | 0.493296i | \(-0.835792\pi\) |
0.993685 | + | 0.112207i | \(0.0357921\pi\) | |||||||
\(42\) | −2.12849 | − | 1.57148i | −0.328433 | − | 0.242484i | ||||
\(43\) | −1.01203 | −0.154334 | −0.0771668 | − | 0.997018i | \(-0.524587\pi\) | ||||
−0.0771668 | + | 0.997018i | \(0.524587\pi\) | |||||||
\(44\) | −2.97026 | − | 1.47565i | −0.447784 | − | 0.222462i | ||||
\(45\) | −0.603294 | + | 1.04494i | −0.0899337 | + | 0.155770i | ||||
\(46\) | 4.90325 | − | 2.18307i | 0.722944 | − | 0.321875i | ||||
\(47\) | 11.1369 | − | 2.36721i | 1.62448 | − | 0.345293i | 0.696392 | − | 0.717662i | \(-0.254788\pi\) |
0.928085 | + | 0.372369i | \(0.121454\pi\) | |||||||
\(48\) | −0.309017 | − | 0.951057i | −0.0446028 | − | 0.137273i | ||||
\(49\) | −5.72546 | + | 4.02730i | −0.817922 | + | 0.575329i | ||||
\(50\) | −2.86728 | + | 2.08320i | −0.405494 | + | 0.294609i | ||||
\(51\) | −2.90119 | + | 3.22209i | −0.406247 | + | 0.451183i | ||||
\(52\) | −2.81460 | − | 3.12593i | −0.390314 | − | 0.433488i | ||||
\(53\) | 10.7904 | − | 4.80419i | 1.48217 | − | 0.659907i | 0.503252 | − | 0.864140i | \(-0.332137\pi\) |
0.978922 | + | 0.204233i | \(0.0654700\pi\) | |||||||
\(54\) | −0.500000 | − | 0.866025i | −0.0680414 | − | 0.117851i | ||||
\(55\) | 3.13538 | + | 2.48672i | 0.422775 | + | 0.335309i | ||||
\(56\) | −2.64567 | − | 0.0202566i | −0.353543 | − | 0.00270690i | ||||
\(57\) | −0.0211854 | − | 0.0153921i | −0.00280608 | − | 0.00203873i | ||||
\(58\) | −2.90721 | + | 0.617946i | −0.381735 | + | 0.0811403i | ||||
\(59\) | 2.09757 | + | 0.445852i | 0.273080 | + | 0.0580450i | 0.342416 | − | 0.939548i | \(-0.388755\pi\) |
−0.0693359 | + | 0.997593i | \(0.522088\pi\) | |||||||
\(60\) | 0.126123 | + | 1.19998i | 0.0162824 | + | 0.154916i | ||||
\(61\) | −6.21390 | − | 2.76661i | −0.795608 | − | 0.354228i | −0.0316547 | − | 0.999499i | \(-0.510078\pi\) |
−0.763954 | + | 0.645271i | \(0.776744\pi\) | |||||||
\(62\) | −0.831101 | − | 2.55786i | −0.105550 | − | 0.324849i | ||||
\(63\) | −2.59207 | + | 0.530253i | −0.326570 | + | 0.0668055i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 2.53766 | + | 4.39536i | 0.314758 | + | 0.545178i | ||||
\(66\) | −3.08411 | + | 1.21994i | −0.379628 | + | 0.150164i | ||||
\(67\) | −1.64058 | + | 2.84156i | −0.200428 | + | 0.347152i | −0.948667 | − | 0.316278i | \(-0.897567\pi\) |
0.748238 | + | 0.663430i | \(0.230900\pi\) | |||||||
\(68\) | −0.453210 | + | 4.31200i | −0.0549598 | + | 0.522907i | ||||
\(69\) | 1.65858 | − | 5.10458i | 0.199669 | − | 0.614519i | ||||
\(70\) | 3.11740 | + | 0.687611i | 0.372600 | + | 0.0821852i | ||||
\(71\) | −7.42060 | + | 5.39138i | −0.880663 | + | 0.639839i | −0.933427 | − | 0.358768i | \(-0.883197\pi\) |
0.0527638 | + | 0.998607i | \(0.483197\pi\) | |||||||
\(72\) | −0.913545 | − | 0.406737i | −0.107662 | − | 0.0479344i | ||||
\(73\) | −2.73214 | − | 0.580733i | −0.319772 | − | 0.0679697i | 0.0452292 | − | 0.998977i | \(-0.485598\pi\) |
−0.365001 | + | 0.931007i | \(0.618932\pi\) | |||||||
\(74\) | 4.33319 | + | 4.81250i | 0.503723 | + | 0.559441i | ||||
\(75\) | −0.370464 | + | 3.52473i | −0.0427775 | + | 0.407001i | ||||
\(76\) | −0.0261866 | −0.00300381 | ||||||||
\(77\) | 0.481094 | + | 8.76177i | 0.0548257 | + | 0.998496i | ||||
\(78\) | −4.20635 | −0.476275 | ||||||||
\(79\) | −1.31340 | + | 12.4962i | −0.147769 | + | 1.40593i | 0.629618 | + | 0.776905i | \(0.283211\pi\) |
−0.777387 | + | 0.629023i | \(0.783455\pi\) | |||||||
\(80\) | 0.807365 | + | 0.896669i | 0.0902661 | + | 0.100251i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −2.34391 | − | 1.04358i | −0.258842 | − | 0.115244i | ||||
\(83\) | −1.92453 | + | 1.39825i | −0.211244 | + | 0.153478i | −0.688377 | − | 0.725354i | \(-0.741676\pi\) |
0.477132 | + | 0.878832i | \(0.341676\pi\) | |||||||
\(84\) | −1.78535 | + | 1.95256i | −0.194798 | + | 0.213042i | ||||
\(85\) | 1.61661 | − | 4.97542i | 0.175346 | − | 0.539660i | ||||
\(86\) | −0.105786 | + | 1.00649i | −0.0114072 | + | 0.108532i | ||||
\(87\) | −1.48608 | + | 2.57396i | −0.159324 | + | 0.275958i | ||||
\(88\) | −1.77804 | + | 2.79975i | −0.189540 | + | 0.298454i | ||||
\(89\) | 1.52737 | + | 2.64548i | 0.161901 | + | 0.280421i | 0.935550 | − | 0.353193i | \(-0.114904\pi\) |
−0.773649 | + | 0.633614i | \(0.781571\pi\) | |||||||
\(90\) | 0.976150 | + | 0.709214i | 0.102895 | + | 0.0747577i | ||||
\(91\) | −3.51997 | + | 10.5576i | −0.368993 | + | 1.10674i | ||||
\(92\) | −1.65858 | − | 5.10458i | −0.172919 | − | 0.532189i | ||||
\(93\) | −2.45698 | − | 1.09392i | −0.254777 | − | 0.113434i | ||||
\(94\) | −1.19012 | − | 11.3233i | −0.122752 | − | 1.16791i | ||||
\(95\) | 0.0309060 | + | 0.00656927i | 0.00317089 | + | 0.000673993i | ||||
\(96\) | −0.978148 | + | 0.207912i | −0.0998318 | + | 0.0212199i | ||||
\(97\) | −15.2431 | − | 11.0748i | −1.54770 | − | 1.12447i | −0.945263 | − | 0.326310i | \(-0.894195\pi\) |
−0.602442 | − | 0.798163i | \(-0.705805\pi\) | |||||||
\(98\) | 3.40677 | + | 6.11506i | 0.344135 | + | 0.617714i | ||||
\(99\) | −1.15708 | + | 3.10824i | −0.116291 | + | 0.312390i | ||||
\(100\) | 1.77207 | + | 3.06932i | 0.177207 | + | 0.306932i | ||||
\(101\) | 1.18784 | − | 0.528859i | 0.118194 | − | 0.0526234i | −0.346788 | − | 0.937944i | \(-0.612728\pi\) |
0.464982 | + | 0.885320i | \(0.346061\pi\) | |||||||
\(102\) | 2.90119 | + | 3.22209i | 0.287260 | + | 0.319035i | ||||
\(103\) | 10.0355 | − | 11.1455i | 0.988822 | − | 1.09820i | −0.00634249 | − | 0.999980i | \(-0.502019\pi\) |
0.995165 | − | 0.0982186i | \(-0.0313144\pi\) | |||||||
\(104\) | −3.40301 | + | 2.47243i | −0.333692 | + | 0.242442i | ||||
\(105\) | 2.59694 | − | 1.85658i | 0.253435 | − | 0.181183i | ||||
\(106\) | −3.64997 | − | 11.2335i | −0.354517 | − | 1.09109i | ||||
\(107\) | −4.51213 | + | 0.959083i | −0.436204 | + | 0.0927181i | −0.420779 | − | 0.907163i | \(-0.638243\pi\) |
−0.0154247 | + | 0.999881i | \(0.504910\pi\) | |||||||
\(108\) | −0.913545 | + | 0.406737i | −0.0879060 | + | 0.0391383i | ||||
\(109\) | −8.39462 | + | 14.5399i | −0.804059 | + | 1.39267i | 0.112866 | + | 0.993610i | \(0.463997\pi\) |
−0.916925 | + | 0.399060i | \(0.869337\pi\) | |||||||
\(110\) | 2.80083 | − | 2.85827i | 0.267049 | − | 0.272526i | ||||
\(111\) | 6.47585 | 0.614661 | ||||||||
\(112\) | −0.296694 | + | 2.62906i | −0.0280349 | + | 0.248423i | ||||
\(113\) | 3.48797 | − | 10.7349i | 0.328121 | − | 1.00985i | −0.641891 | − | 0.766796i | \(-0.721850\pi\) |
0.970012 | − | 0.243056i | \(-0.0781500\pi\) | |||||||
\(114\) | −0.0175223 | + | 0.0194604i | −0.00164111 | + | 0.00182264i | ||||
\(115\) | 0.676935 | + | 6.44060i | 0.0631245 | + | 0.600589i | ||||
\(116\) | 0.310675 | + | 2.95587i | 0.0288454 | + | 0.274446i | ||||
\(117\) | −2.81460 | + | 3.12593i | −0.260210 | + | 0.288992i | ||||
\(118\) | 0.662666 | − | 2.03947i | 0.0610033 | − | 0.187749i | ||||
\(119\) | 10.5150 | − | 4.58544i | 0.963908 | − | 0.420346i | ||||
\(120\) | 1.20659 | 0.110146 | ||||||||
\(121\) | 9.63596 | + | 5.30550i | 0.875996 | + | 0.482318i | ||||
\(122\) | −3.40098 | + | 5.89067i | −0.307910 | + | 0.533316i | ||||
\(123\) | −2.34391 | + | 1.04358i | −0.211343 | + | 0.0940962i | ||||
\(124\) | −2.63073 | + | 0.559178i | −0.236246 | + | 0.0502157i | ||||
\(125\) | −3.18574 | − | 9.80469i | −0.284941 | − | 0.876958i | ||||
\(126\) | 0.256403 | + | 2.63330i | 0.0228422 | + | 0.234593i | ||||
\(127\) | −10.7947 | + | 7.84280i | −0.957874 | + | 0.695936i | −0.952656 | − | 0.304050i | \(-0.901661\pi\) |
−0.00521779 | + | 0.999986i | \(0.501661\pi\) | |||||||
\(128\) | −0.669131 | + | 0.743145i | −0.0591433 | + | 0.0656853i | ||||
\(129\) | 0.677182 | + | 0.752087i | 0.0596225 | + | 0.0662175i | ||||
\(130\) | 4.63654 | − | 2.06432i | 0.406652 | − | 0.181053i | ||||
\(131\) | 0.441349 | + | 0.764438i | 0.0385608 | + | 0.0667893i | 0.884662 | − | 0.466233i | \(-0.154389\pi\) |
−0.846101 | + | 0.533023i | \(0.821056\pi\) | |||||||
\(132\) | 0.890876 | + | 3.19474i | 0.0775408 | + | 0.278066i | ||||
\(133\) | 0.0341812 | + | 0.0602645i | 0.00296389 | + | 0.00522560i | ||||
\(134\) | 2.65451 | + | 1.92861i | 0.229315 | + | 0.166607i | ||||
\(135\) | 1.18022 | − | 0.250864i | 0.101577 | − | 0.0215909i | ||||
\(136\) | 4.24101 | + | 0.901454i | 0.363663 | + | 0.0772990i | ||||
\(137\) | 0.834115 | + | 7.93608i | 0.0712633 | + | 0.678025i | 0.970589 | + | 0.240745i | \(0.0773916\pi\) |
−0.899325 | + | 0.437280i | \(0.855942\pi\) | |||||||
\(138\) | −4.90325 | − | 2.18307i | −0.417392 | − | 0.185835i | ||||
\(139\) | −2.68169 | − | 8.25340i | −0.227458 | − | 0.700044i | −0.998033 | − | 0.0626945i | \(-0.980031\pi\) |
0.770575 | − | 0.637350i | \(-0.219969\pi\) | |||||||
\(140\) | 1.00970 | − | 3.02844i | 0.0853353 | − | 0.255950i | ||||
\(141\) | −9.21119 | − | 6.69232i | −0.775722 | − | 0.563595i | ||||
\(142\) | 4.58618 | + | 7.94350i | 0.384864 | + | 0.666604i | ||||
\(143\) | 8.88916 | + | 10.7522i | 0.743349 | + | 0.899144i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | 0.374856 | − | 3.56652i | 0.0311301 | − | 0.296183i | ||||
\(146\) | −0.863138 | + | 2.65647i | −0.0714338 | + | 0.219851i | ||||
\(147\) | 6.82395 | + | 1.56005i | 0.562830 | + | 0.128671i | ||||
\(148\) | 5.23907 | − | 3.80641i | 0.430649 | − | 0.312885i | ||||
\(149\) | −19.5695 | − | 8.71289i | −1.60319 | − | 0.713788i | −0.606503 | − | 0.795081i | \(-0.707428\pi\) |
−0.996690 | + | 0.0812934i | \(0.974095\pi\) | |||||||
\(150\) | 3.46670 | + | 0.736870i | 0.283055 | + | 0.0601651i | ||||
\(151\) | 11.5573 | + | 12.8357i | 0.940522 | + | 1.04456i | 0.998929 | + | 0.0462623i | \(0.0147310\pi\) |
−0.0584077 | + | 0.998293i | \(0.518602\pi\) | |||||||
\(152\) | −0.00273725 | + | 0.0260432i | −0.000222020 | + | 0.00211238i | ||||
\(153\) | 4.33575 | 0.350525 | ||||||||
\(154\) | 8.76406 | + | 0.437396i | 0.706228 | + | 0.0352464i | ||||
\(155\) | 3.24511 | 0.260654 | ||||||||
\(156\) | −0.439683 | + | 4.18331i | −0.0352028 | + | 0.334932i | ||||
\(157\) | −12.0851 | − | 13.4219i | −0.964497 | − | 1.07118i | −0.997424 | − | 0.0717252i | \(-0.977150\pi\) |
0.0329269 | − | 0.999458i | \(-0.489517\pi\) | |||||||
\(158\) | 12.2904 | + | 2.61241i | 0.977773 | + | 0.207832i | ||||
\(159\) | −10.7904 | − | 4.80419i | −0.855734 | − | 0.380997i | ||||
\(160\) | 0.976150 | − | 0.709214i | 0.0771714 | − | 0.0560683i | ||||
\(161\) | −9.58248 | + | 10.4799i | −0.755205 | + | 0.825935i | ||||
\(162\) | −0.309017 | + | 0.951057i | −0.0242787 | + | 0.0747221i | ||||
\(163\) | 0.838067 | − | 7.97367i | 0.0656424 | − | 0.624546i | −0.911403 | − | 0.411515i | \(-0.865000\pi\) |
0.977045 | − | 0.213031i | \(-0.0683336\pi\) | |||||||
\(164\) | −1.28287 | + | 2.22199i | −0.100175 | + | 0.173508i | ||||
\(165\) | −0.249988 | − | 3.99398i | −0.0194615 | − | 0.310931i | ||||
\(166\) | 1.18942 | + | 2.06014i | 0.0923172 | + | 0.159898i | ||||
\(167\) | −13.8324 | − | 10.0499i | −1.07039 | − | 0.777682i | −0.0944051 | − | 0.995534i | \(-0.530095\pi\) |
−0.975982 | + | 0.217852i | \(0.930095\pi\) | |||||||
\(168\) | 1.75525 | + | 1.97967i | 0.135420 | + | 0.152735i | ||||
\(169\) | 1.45033 | + | 4.46365i | 0.111564 | + | 0.343358i | ||||
\(170\) | −4.77918 | − | 2.12783i | −0.366547 | − | 0.163197i | ||||
\(171\) | 0.00273725 | + | 0.0260432i | 0.000209322 | + | 0.00199157i | ||||
\(172\) | 0.989917 | + | 0.210413i | 0.0754805 | + | 0.0160439i | ||||
\(173\) | 5.07531 | − | 1.07879i | 0.385869 | − | 0.0820189i | −0.0108927 | − | 0.999941i | \(-0.503467\pi\) |
0.396761 | + | 0.917922i | \(0.370134\pi\) | |||||||
\(174\) | 2.40452 | + | 1.74699i | 0.182287 | + | 0.132439i | ||||
\(175\) | 4.75050 | − | 8.08453i | 0.359104 | − | 0.611133i | ||||
\(176\) | 2.59855 | + | 2.06095i | 0.195873 | + | 0.155350i | ||||
\(177\) | −1.07222 | − | 1.85713i | −0.0805926 | − | 0.139591i | ||||
\(178\) | 2.79065 | − | 1.24248i | 0.209168 | − | 0.0931275i | ||||
\(179\) | −15.5444 | − | 17.2638i | −1.16184 | − | 1.29036i | −0.949715 | − | 0.313117i | \(-0.898627\pi\) |
−0.212129 | − | 0.977242i | \(-0.568040\pi\) | |||||||
\(180\) | 0.807365 | − | 0.896669i | 0.0601774 | − | 0.0668338i | ||||
\(181\) | 14.0623 | − | 10.2169i | 1.04524 | − | 0.759414i | 0.0739416 | − | 0.997263i | \(-0.476442\pi\) |
0.971302 | + | 0.237848i | \(0.0764421\pi\) | |||||||
\(182\) | 10.1318 | + | 4.60426i | 0.751023 | + | 0.341290i | ||||
\(183\) | 2.10192 | + | 6.46905i | 0.155378 | + | 0.478206i | ||||
\(184\) | −5.24998 | + | 1.11592i | −0.387034 | + | 0.0822666i | ||||
\(185\) | −7.13815 | + | 3.17811i | −0.524807 | + | 0.233659i | ||||
\(186\) | −1.34475 | + | 2.32917i | −0.0986018 | + | 0.170783i | ||||
\(187\) | 2.10527 | − | 14.2251i | 0.153953 | − | 1.04024i | ||||
\(188\) | −11.3857 | −0.830384 | ||||||||
\(189\) | 2.12849 | + | 1.57148i | 0.154825 | + | 0.114308i | ||||
\(190\) | 0.00976383 | − | 0.0300500i | 0.000708343 | − | 0.00218006i | ||||
\(191\) | −8.60692 | + | 9.55895i | −0.622775 | + | 0.691662i | −0.969160 | − | 0.246431i | \(-0.920742\pi\) |
0.346386 | + | 0.938092i | \(0.387409\pi\) | |||||||
\(192\) | 0.104528 | + | 0.994522i | 0.00754369 | + | 0.0717734i | ||||
\(193\) | −1.58884 | − | 15.1168i | −0.114367 | − | 1.08813i | −0.889690 | − | 0.456564i | \(-0.849080\pi\) |
0.775324 | − | 0.631564i | \(-0.217587\pi\) | |||||||
\(194\) | −12.6074 | + | 14.0020i | −0.905162 | + | 1.00528i | ||||
\(195\) | 1.56836 | − | 4.82692i | 0.112313 | − | 0.345663i | ||||
\(196\) | 6.43766 | − | 2.74890i | 0.459833 | − | 0.196350i | ||||
\(197\) | 8.53605 | 0.608168 | 0.304084 | − | 0.952645i | \(-0.401650\pi\) | ||||
0.304084 | + | 0.952645i | \(0.401650\pi\) | |||||||
\(198\) | 2.97026 | + | 1.47565i | 0.211087 | + | 0.104870i | ||||
\(199\) | 0.659603 | − | 1.14247i | 0.0467580 | − | 0.0809873i | −0.841699 | − | 0.539947i | \(-0.818444\pi\) |
0.888457 | + | 0.458959i | \(0.151778\pi\) | |||||||
\(200\) | 3.23774 | − | 1.44153i | 0.228943 | − | 0.101932i | ||||
\(201\) | 3.20945 | − | 0.682190i | 0.226377 | − | 0.0481180i | ||||
\(202\) | −0.401799 | − | 1.23661i | −0.0282705 | − | 0.0870076i | ||||
\(203\) | 6.39698 | − | 4.57326i | 0.448980 | − | 0.320980i | ||||
\(204\) | 3.50770 | − | 2.54849i | 0.245588 | − | 0.178430i | ||||
\(205\) | 2.07148 | − | 2.30061i | 0.144679 | − | 0.160682i | ||||
\(206\) | −10.0355 | − | 11.1455i | −0.699203 | − | 0.776544i | ||||
\(207\) | −4.90325 | + | 2.18307i | −0.340799 | + | 0.151734i | ||||
\(208\) | 2.10317 | + | 3.64280i | 0.145829 | + | 0.252583i | ||||
\(209\) | 0.0867738 | + | 0.00366492i | 0.00600227 | + | 0.000253508i | ||||
\(210\) | −1.57495 | − | 2.77678i | −0.108682 | − | 0.191616i | ||||
\(211\) | 0.823037 | + | 0.597971i | 0.0566602 | + | 0.0411660i | 0.615755 | − | 0.787938i | \(-0.288851\pi\) |
−0.559095 | + | 0.829104i | \(0.688851\pi\) | |||||||
\(212\) | −11.5534 | + | 2.45576i | −0.793494 | + | 0.168662i | ||||
\(213\) | 8.97193 | + | 1.90704i | 0.614746 | + | 0.130668i | ||||
\(214\) | 0.482183 | + | 4.58766i | 0.0329613 | + | 0.313606i | ||||
\(215\) | −1.11554 | − | 0.496668i | −0.0760789 | − | 0.0338725i | ||||
\(216\) | 0.309017 | + | 0.951057i | 0.0210259 | + | 0.0647112i | ||||
\(217\) | 4.72073 | + | 5.32433i | 0.320464 | + | 0.361439i | ||||
\(218\) | 13.5828 | + | 9.86846i | 0.919942 | + | 0.668377i | ||||
\(219\) | 1.39659 | + | 2.41896i | 0.0943726 | + | 0.163458i | ||||
\(220\) | −2.54985 | − | 3.08426i | −0.171911 | − | 0.207941i | ||||
\(221\) | 9.11885 | − | 15.7943i | 0.613400 | − | 1.06244i | ||||
\(222\) | 0.676911 | − | 6.44038i | 0.0454313 | − | 0.432250i | ||||
\(223\) | −2.87037 | + | 8.83410i | −0.192214 | + | 0.591575i | 0.807783 | + | 0.589479i | \(0.200667\pi\) |
−0.999998 | + | 0.00209559i | \(0.999333\pi\) | |||||||
\(224\) | 2.58365 | + | 0.569880i | 0.172627 | + | 0.0380767i | ||||
\(225\) | 2.86728 | − | 2.08320i | 0.191152 | − | 0.138880i | ||||
\(226\) | −10.3115 | − | 4.59096i | −0.685909 | − | 0.305386i | ||||
\(227\) | −7.84005 | − | 1.66645i | −0.520362 | − | 0.110606i | −0.0597596 | − | 0.998213i | \(-0.519033\pi\) |
−0.460603 | + | 0.887606i | \(0.652367\pi\) | |||||||
\(228\) | 0.0175223 | + | 0.0194604i | 0.00116044 | + | 0.00128880i | ||||
\(229\) | 0.364279 | − | 3.46588i | 0.0240722 | − | 0.229032i | −0.975871 | − | 0.218349i | \(-0.929933\pi\) |
0.999943 | − | 0.0106827i | \(-0.00340048\pi\) | |||||||
\(230\) | 6.47608 | 0.427020 | ||||||||
\(231\) | 6.18935 | − | 6.22029i | 0.407229 | − | 0.409265i | ||||
\(232\) | 2.97216 | 0.195132 | ||||||||
\(233\) | −0.456938 | + | 4.34748i | −0.0299350 | + | 0.284813i | 0.969306 | + | 0.245858i | \(0.0790696\pi\) |
−0.999241 | + | 0.0389550i | \(0.987597\pi\) | |||||||
\(234\) | 2.81460 | + | 3.12593i | 0.183996 | + | 0.204348i | ||||
\(235\) | 13.4376 | + | 2.85625i | 0.876571 | + | 0.186321i | ||||
\(236\) | −1.95904 | − | 0.872219i | −0.127522 | − | 0.0567766i | ||||
\(237\) | 10.1653 | − | 7.38552i | 0.660307 | − | 0.479741i | ||||
\(238\) | −3.46120 | − | 10.9367i | −0.224356 | − | 0.708921i | ||||
\(239\) | −2.20457 | + | 6.78496i | −0.142602 | + | 0.438882i | −0.996695 | − | 0.0812375i | \(-0.974113\pi\) |
0.854093 | + | 0.520120i | \(0.174113\pi\) | |||||||
\(240\) | 0.126123 | − | 1.19998i | 0.00814119 | − | 0.0774582i | ||||
\(241\) | −9.74338 | + | 16.8760i | −0.627627 | + | 1.08708i | 0.360400 | + | 0.932798i | \(0.382640\pi\) |
−0.988027 | + | 0.154283i | \(0.950693\pi\) | |||||||
\(242\) | 6.28367 | − | 9.02859i | 0.403930 | − | 0.580380i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 5.50290 | + | 3.99809i | 0.352287 | + | 0.255952i | ||||
\(245\) | −8.28746 | + | 1.62934i | −0.529467 | + | 0.104095i | ||||
\(246\) | 0.792855 | + | 2.44016i | 0.0505506 | + | 0.155579i | ||||
\(247\) | 0.100627 | + | 0.0448020i | 0.00640274 | + | 0.00285068i | ||||
\(248\) | 0.281129 | + | 2.67476i | 0.0178517 | + | 0.169848i | ||||
\(249\) | 2.32686 | + | 0.494590i | 0.147459 | + | 0.0313434i | ||||
\(250\) | −10.0840 | + | 2.14342i | −0.637767 | + | 0.135562i | ||||
\(251\) | −8.40038 | − | 6.10323i | −0.530227 | − | 0.385233i | 0.290215 | − | 0.956961i | \(-0.406273\pi\) |
−0.820443 | + | 0.571729i | \(0.806273\pi\) | |||||||
\(252\) | 2.64567 | + | 0.0202566i | 0.166662 | + | 0.00127604i | ||||
\(253\) | 4.78158 | + | 17.1470i | 0.300615 | + | 1.07802i | ||||
\(254\) | 6.67148 | + | 11.5554i | 0.418606 | + | 0.725047i | ||||
\(255\) | −4.77918 | + | 2.12783i | −0.299284 | + | 0.133250i | ||||
\(256\) | 0.669131 | + | 0.743145i | 0.0418207 | + | 0.0464466i | ||||
\(257\) | 11.8557 | − | 13.1671i | 0.739541 | − | 0.821343i | −0.249595 | − | 0.968350i | \(-0.580297\pi\) |
0.989135 | + | 0.147007i | \(0.0469641\pi\) | |||||||
\(258\) | 0.818752 | − | 0.594858i | 0.0509732 | − | 0.0370342i | ||||
\(259\) | −15.5984 | − | 7.08845i | −0.969238 | − | 0.440455i | ||||
\(260\) | −1.56836 | − | 4.82692i | −0.0972657 | − | 0.299353i | ||||
\(261\) | 2.90721 | − | 0.617946i | 0.179952 | − | 0.0382499i | ||||
\(262\) | 0.806384 | − | 0.359025i | 0.0498186 | − | 0.0221807i | ||||
\(263\) | 6.34072 | − | 10.9825i | 0.390986 | − | 0.677207i | −0.601594 | − | 0.798802i | \(-0.705468\pi\) |
0.992580 | + | 0.121595i | \(0.0388009\pi\) | |||||||
\(264\) | 3.27036 | − | 0.552055i | 0.201277 | − | 0.0339767i | ||||
\(265\) | 14.2517 | 0.875473 | ||||||||
\(266\) | 0.0635073 | − | 0.0276946i | 0.00389388 | − | 0.00169807i | ||||
\(267\) | 0.943967 | − | 2.90523i | 0.0577698 | − | 0.177797i | ||||
\(268\) | 2.19552 | − | 2.43837i | 0.134113 | − | 0.148947i | ||||
\(269\) | −3.29384 | − | 31.3388i | −0.200829 | − | 1.91076i | −0.376676 | − | 0.926345i | \(-0.622933\pi\) |
0.175847 | − | 0.984418i | \(-0.443734\pi\) | |||||||
\(270\) | −0.126123 | − | 1.19998i | −0.00767558 | − | 0.0730283i | ||||
\(271\) | 8.57997 | − | 9.52902i | 0.521196 | − | 0.578847i | −0.423871 | − | 0.905722i | \(-0.639329\pi\) |
0.945067 | + | 0.326876i | \(0.105996\pi\) | |||||||
\(272\) | 1.33982 | − | 4.12355i | 0.0812386 | − | 0.250027i | ||||
\(273\) | 10.2012 | − | 4.44858i | 0.617402 | − | 0.269240i | ||||
\(274\) | 7.97979 | 0.482077 | ||||||||
\(275\) | −5.44250 | − | 10.4187i | −0.328195 | − | 0.628273i | ||||
\(276\) | −2.68364 | + | 4.64819i | −0.161536 | + | 0.279788i | ||||
\(277\) | 3.76791 | − | 1.67758i | 0.226392 | − | 0.100796i | −0.290406 | − | 0.956903i | \(-0.593791\pi\) |
0.516798 | + | 0.856107i | \(0.327124\pi\) | |||||||
\(278\) | −8.48850 | + | 1.80429i | −0.509107 | + | 0.108214i | ||||
\(279\) | 0.831101 | + | 2.55786i | 0.0497567 | + | 0.153135i | ||||
\(280\) | −2.90631 | − | 1.32073i | −0.173685 | − | 0.0789286i | ||||
\(281\) | −9.60503 | + | 6.97846i | −0.572988 | + | 0.416300i | −0.836189 | − | 0.548441i | \(-0.815222\pi\) |
0.263201 | + | 0.964741i | \(0.415222\pi\) | |||||||
\(282\) | −7.61849 | + | 8.46119i | −0.453674 | + | 0.503857i | ||||
\(283\) | 0.696585 | + | 0.773637i | 0.0414077 | + | 0.0459879i | 0.763493 | − | 0.645816i | \(-0.223483\pi\) |
−0.722085 | + | 0.691804i | \(0.756816\pi\) | |||||||
\(284\) | 8.37937 | − | 3.73074i | 0.497224 | − | 0.221378i | ||||
\(285\) | −0.0157982 | − | 0.0273633i | −0.000935805 | − | 0.00162086i | ||||
\(286\) | 11.6225 | − | 7.71655i | 0.687251 | − | 0.456289i | ||||
\(287\) | 6.78809 | + | 0.0519729i | 0.400688 | + | 0.00306786i | ||||
\(288\) | 0.809017 | + | 0.587785i | 0.0476718 | + | 0.0346356i | ||||
\(289\) | −1.75946 | + | 0.373984i | −0.103497 | + | 0.0219991i | ||||
\(290\) | −3.50780 | − | 0.745606i | −0.205985 | − | 0.0437835i | ||||
\(291\) | 1.96948 | + | 18.7383i | 0.115453 | + | 1.09846i | ||||
\(292\) | 2.55169 | + | 1.13609i | 0.149326 | + | 0.0664844i | ||||
\(293\) | −0.353770 | − | 1.08879i | −0.0206675 | − | 0.0636079i | 0.940191 | − | 0.340648i | \(-0.110646\pi\) |
−0.960858 | + | 0.277040i | \(0.910646\pi\) | |||||||
\(294\) | 2.26480 | − | 6.62349i | 0.132086 | − | 0.386290i | ||||
\(295\) | 2.09329 | + | 1.52086i | 0.121876 | + | 0.0885480i | ||||
\(296\) | −3.23793 | − | 5.60825i | −0.188201 | − | 0.325973i | ||||
\(297\) | 3.08411 | − | 1.21994i | 0.178958 | − | 0.0707879i | ||||
\(298\) | −10.7107 | + | 18.5515i | −0.620456 | + | 1.07466i | ||||
\(299\) | −2.35990 | + | 22.4529i | −0.136476 | + | 1.29849i | ||||
\(300\) | 1.09520 | − | 3.37068i | 0.0632315 | − | 0.194607i | ||||
\(301\) | −0.807899 | − | 2.55280i | −0.0465665 | − | 0.147141i | ||||
\(302\) | 13.9735 | − | 10.1523i | 0.804082 | − | 0.584200i | ||||
\(303\) | −1.18784 | − | 0.528859i | −0.0682394 | − | 0.0303821i | ||||
\(304\) | 0.0256144 | + | 0.00544450i | 0.00146908 | + | 0.000312264i | ||||
\(305\) | −5.49166 | − | 6.09911i | −0.314452 | − | 0.349234i | ||||
\(306\) | 0.453210 | − | 4.31200i | 0.0259083 | − | 0.246501i | ||||
\(307\) | −17.6325 | −1.00634 | −0.503171 | − | 0.864187i | \(-0.667833\pi\) | ||||
−0.503171 | + | 0.864187i | \(0.667833\pi\) | |||||||
\(308\) | 1.35109 | − | 8.67033i | 0.0769857 | − | 0.494038i | ||||
\(309\) | −14.9977 | −0.853192 | ||||||||
\(310\) | 0.339207 | − | 3.22734i | 0.0192657 | − | 0.183300i | ||||
\(311\) | 16.4294 | + | 18.2467i | 0.931625 | + | 1.03467i | 0.999316 | + | 0.0369683i | \(0.0117700\pi\) |
−0.0676913 | + | 0.997706i | \(0.521563\pi\) | |||||||
\(312\) | 4.11443 | + | 0.874549i | 0.232934 | + | 0.0495116i | ||||
\(313\) | 28.4235 | + | 12.6549i | 1.60659 | + | 0.715300i | 0.996999 | − | 0.0774166i | \(-0.0246671\pi\) |
0.609591 | + | 0.792716i | \(0.291334\pi\) | |||||||
\(314\) | −14.6116 | + | 10.6159i | −0.824580 | + | 0.599093i | ||||
\(315\) | −3.11740 | − | 0.687611i | −0.175645 | − | 0.0387425i | ||||
\(316\) | 3.88280 | − | 11.9500i | 0.218424 | − | 0.672241i | ||||
\(317\) | 3.26400 | − | 31.0549i | 0.183324 | − | 1.74421i | −0.386358 | − | 0.922349i | \(-0.626267\pi\) |
0.569682 | − | 0.821865i | \(-0.307066\pi\) | |||||||
\(318\) | −5.90578 | + | 10.2291i | −0.331180 | + | 0.573620i | ||||
\(319\) | −0.615788 | − | 9.83827i | −0.0344775 | − | 0.550838i | ||||
\(320\) | −0.603294 | − | 1.04494i | −0.0337251 | − | 0.0584137i | ||||
\(321\) | 3.73194 | + | 2.71142i | 0.208297 | + | 0.151336i | ||||
\(322\) | 9.42089 | + | 10.6254i | 0.525006 | + | 0.592133i | ||||
\(323\) | −0.0350854 | − | 0.107982i | −0.00195220 | − | 0.00600826i | ||||
\(324\) | 0.913545 | + | 0.406737i | 0.0507525 | + | 0.0225965i | ||||
\(325\) | −1.55830 | − | 14.8262i | −0.0864390 | − | 0.822412i | ||||
\(326\) | −7.84239 | − | 1.66695i | −0.434350 | − | 0.0923239i | ||||
\(327\) | 16.4223 | − | 3.49068i | 0.908158 | − | 0.193035i | ||||
\(328\) | 2.07572 | + | 1.50810i | 0.114612 | + | 0.0832709i | ||||
\(329\) | 14.8616 | + | 26.2024i | 0.819348 | + | 1.44458i | ||||
\(330\) | −3.99823 | − | 0.168867i | −0.220095 | − | 0.00929580i | ||||
\(331\) | 13.3437 | + | 23.1120i | 0.733438 | + | 1.27035i | 0.955405 | + | 0.295298i | \(0.0954189\pi\) |
−0.221967 | + | 0.975054i | \(0.571248\pi\) | |||||||
\(332\) | 2.17319 | − | 0.967565i | 0.119269 | − | 0.0531020i | ||||
\(333\) | −4.33319 | − | 4.81250i | −0.237457 | − | 0.263723i | ||||
\(334\) | −11.4407 | + | 12.7062i | −0.626007 | + | 0.695251i | ||||
\(335\) | −3.20290 | + | 2.32704i | −0.174993 | + | 0.127140i | ||||
\(336\) | 2.15230 | − | 1.53870i | 0.117418 | − | 0.0839430i | ||||
\(337\) | −2.08198 | − | 6.40767i | −0.113413 | − | 0.349048i | 0.878200 | − | 0.478293i | \(-0.158744\pi\) |
−0.991613 | + | 0.129246i | \(0.958744\pi\) | |||||||
\(338\) | 4.59080 | − | 0.975805i | 0.249707 | − | 0.0530768i | ||||
\(339\) | −10.3115 | + | 4.59096i | −0.560042 | + | 0.249347i | ||||
\(340\) | −2.61573 | + | 4.53058i | −0.141858 | + | 0.245705i | ||||
\(341\) | 8.79562 | − | 1.48475i | 0.476309 | − | 0.0804038i | ||||
\(342\) | 0.0261866 | 0.00141601 | ||||||||
\(343\) | −14.7292 | − | 11.2272i | −0.795304 | − | 0.606211i | ||||
\(344\) | 0.312735 | − | 0.962500i | 0.0168616 | − | 0.0518945i | ||||
\(345\) | 4.33334 | − | 4.81267i | 0.233299 | − | 0.259105i | ||||
\(346\) | −0.542366 | − | 5.16027i | −0.0291578 | − | 0.277418i | ||||
\(347\) | −2.99209 | − | 28.4678i | −0.160624 | − | 1.52823i | −0.716865 | − | 0.697212i | \(-0.754423\pi\) |
0.556241 | − | 0.831021i | \(-0.312243\pi\) | |||||||
\(348\) | 1.98876 | − | 2.20874i | 0.106609 | − | 0.118401i | ||||
\(349\) | −9.68888 | + | 29.8193i | −0.518634 | + | 1.59619i | 0.257937 | + | 0.966162i | \(0.416957\pi\) |
−0.776571 | + | 0.630030i | \(0.783043\pi\) | |||||||
\(350\) | −7.54368 | − | 5.56954i | −0.403226 | − | 0.297705i | ||||
\(351\) | 4.20635 | 0.224518 | ||||||||
\(352\) | 2.32128 | − | 2.36889i | 0.123725 | − | 0.126262i | ||||
\(353\) | −4.06857 | + | 7.04696i | −0.216548 | + | 0.375072i | −0.953750 | − | 0.300600i | \(-0.902813\pi\) |
0.737202 | + | 0.675672i | \(0.236146\pi\) | |||||||
\(354\) | −1.95904 | + | 0.872219i | −0.104122 | + | 0.0463579i | ||||
\(355\) | −10.8254 | + | 2.30101i | −0.574553 | + | 0.122125i | ||||
\(356\) | −0.943967 | − | 2.90523i | −0.0500302 | − | 0.153977i | ||||
\(357\) | −10.4435 | − | 4.74591i | −0.552731 | − | 0.251180i | ||||
\(358\) | −18.7941 | + | 13.6547i | −0.993298 | + | 0.721673i | ||||
\(359\) | −15.5546 | + | 17.2751i | −0.820938 | + | 0.911744i | −0.997363 | − | 0.0725701i | \(-0.976880\pi\) |
0.176425 | + | 0.984314i | \(0.443547\pi\) | |||||||
\(360\) | −0.807365 | − | 0.896669i | −0.0425518 | − | 0.0472586i | ||||
\(361\) | −17.3567 | + | 7.72772i | −0.913512 | + | 0.406722i | ||||
\(362\) | −8.69099 | − | 15.0532i | −0.456788 | − | 0.791181i | ||||
\(363\) | −2.50496 | − | 10.7110i | −0.131476 | − | 0.562181i | ||||
\(364\) | 5.63810 | − | 9.59507i | 0.295517 | − | 0.502918i | ||||
\(365\) | −2.72656 | − | 1.98096i | −0.142714 | − | 0.103688i | ||||
\(366\) | 6.65332 | − | 1.41421i | 0.347775 | − | 0.0739218i | ||||
\(367\) | 18.8806 | + | 4.01320i | 0.985561 | + | 0.209487i | 0.672380 | − | 0.740206i | \(-0.265272\pi\) |
0.313181 | + | 0.949694i | \(0.398605\pi\) | |||||||
\(368\) | 0.561033 | + | 5.33787i | 0.0292458 | + | 0.278256i | ||||
\(369\) | 2.34391 | + | 1.04358i | 0.122019 | + | 0.0543265i | ||||
\(370\) | 2.41456 | + | 7.43125i | 0.125527 | + | 0.386332i | ||||
\(371\) | 20.7322 | + | 23.3830i | 1.07636 | + | 1.21399i | ||||
\(372\) | 2.17585 | + | 1.58085i | 0.112813 | + | 0.0819631i | ||||
\(373\) | −0.284157 | − | 0.492175i | −0.0147131 | − | 0.0254838i | 0.858575 | − | 0.512688i | \(-0.171350\pi\) |
−0.873288 | + | 0.487204i | \(0.838017\pi\) | |||||||
\(374\) | −13.9271 | − | 3.58067i | −0.720155 | − | 0.185152i | ||||
\(375\) | −5.15463 | + | 8.92808i | −0.266184 | + | 0.461044i | ||||
\(376\) | −1.19012 | + | 11.3233i | −0.0613760 | + | 0.583954i | ||||
\(377\) | 3.86331 | − | 11.8900i | 0.198970 | − | 0.612368i | ||||
\(378\) | 1.78535 | − | 1.95256i | 0.0918287 | − | 0.100429i | ||||
\(379\) | 9.86864 | − | 7.16998i | 0.506918 | − | 0.368297i | −0.304735 | − | 0.952437i | \(-0.598568\pi\) |
0.811653 | + | 0.584140i | \(0.198568\pi\) | |||||||
\(380\) | −0.0288648 | − | 0.0128514i | −0.00148073 | − | 0.000659264i | ||||
\(381\) | 13.0514 | + | 2.77416i | 0.668643 | + | 0.142124i | ||||
\(382\) | 8.60692 | + | 9.55895i | 0.440368 | + | 0.489079i | ||||
\(383\) | −3.48003 | + | 33.1102i | −0.177821 | + | 1.69185i | 0.434044 | + | 0.900892i | \(0.357086\pi\) |
−0.611865 | + | 0.790962i | \(0.709580\pi\) | |||||||
\(384\) | 1.00000 | 0.0510310 | ||||||||
\(385\) | −3.76966 | + | 9.89396i | −0.192120 | + | 0.504243i | ||||
\(386\) | −15.2000 | −0.773661 | ||||||||
\(387\) | 0.105786 | − | 1.00649i | 0.00537742 | − | 0.0511627i | ||||
\(388\) | 12.6074 | + | 14.0020i | 0.640046 | + | 0.710843i | ||||
\(389\) | −16.1811 | − | 3.43939i | −0.820412 | − | 0.174384i | −0.221461 | − | 0.975169i | \(-0.571082\pi\) |
−0.598951 | + | 0.800785i | \(0.704416\pi\) | |||||||
\(390\) | −4.63654 | − | 2.06432i | −0.234780 | − | 0.104531i | ||||
\(391\) | 18.8268 | − | 13.6784i | 0.952111 | − | 0.691749i | ||||
\(392\) | −2.06093 | − | 6.68974i | −0.104093 | − | 0.337883i | ||||
\(393\) | 0.272768 | − | 0.839495i | 0.0137593 | − | 0.0423469i | ||||
\(394\) | 0.892260 | − | 8.48929i | 0.0449514 | − | 0.427684i | ||||
\(395\) | −7.58038 | + | 13.1296i | −0.381410 | + | 0.660622i | ||||
\(396\) | 1.77804 | − | 2.79975i | 0.0893498 | − | 0.140693i | ||||
\(397\) | 17.6628 | + | 30.5929i | 0.886472 | + | 1.53542i | 0.844017 | + | 0.536317i | \(0.180185\pi\) |
0.0424555 | + | 0.999098i | \(0.486482\pi\) | |||||||
\(398\) | −1.06726 | − | 0.775410i | −0.0534969 | − | 0.0388678i | ||||
\(399\) | 0.0219136 | − | 0.0657264i | 0.00109705 | − | 0.00329044i | ||||
\(400\) | −1.09520 | − | 3.37068i | −0.0547601 | − | 0.168534i | ||||
\(401\) | −28.2495 | − | 12.5775i | −1.41071 | − | 0.628089i | −0.446878 | − | 0.894595i | \(-0.647464\pi\) |
−0.963833 | + | 0.266505i | \(0.914131\pi\) | |||||||
\(402\) | −0.342974 | − | 3.26318i | −0.0171060 | − | 0.162753i | ||||
\(403\) | 11.0657 | + | 2.35210i | 0.551224 | + | 0.117166i | ||||
\(404\) | −1.27184 | + | 0.270337i | −0.0632762 | + | 0.0134498i | ||||
\(405\) | −0.976150 | − | 0.709214i | −0.0485053 | − | 0.0352411i | ||||
\(406\) | −3.87954 | − | 6.83997i | −0.192538 | − | 0.339462i | ||||
\(407\) | −17.8933 | + | 11.8800i | −0.886937 | + | 0.588868i | ||||
\(408\) | −2.16788 | − | 3.75487i | −0.107326 | − | 0.185894i | ||||
\(409\) | −28.8096 | + | 12.8269i | −1.42454 | + | 0.634248i | −0.966962 | − | 0.254919i | \(-0.917951\pi\) |
−0.457582 | + | 0.889167i | \(0.651284\pi\) | |||||||
\(410\) | −2.07148 | − | 2.30061i | −0.102303 | − | 0.113619i | ||||
\(411\) | 5.33952 | − | 5.93014i | 0.263379 | − | 0.292512i | ||||
\(412\) | −12.1334 | + | 8.81545i | −0.597771 | + | 0.434306i | ||||
\(413\) | 0.549838 | + | 5.64693i | 0.0270557 | + | 0.277867i | ||||
\(414\) | 1.65858 | + | 5.10458i | 0.0815147 | + | 0.250876i | ||||
\(415\) | −2.80756 | + | 0.596766i | −0.137818 | + | 0.0292941i | ||||
\(416\) | 3.84269 | − | 1.71088i | 0.188403 | − | 0.0838826i | ||||
\(417\) | −4.33907 | + | 7.51549i | −0.212485 | + | 0.368035i | ||||
\(418\) | 0.0127152 | − | 0.0859153i | 0.000621919 | − | 0.00420226i | ||||
\(419\) | −21.1091 | −1.03125 | −0.515623 | − | 0.856816i | \(-0.672439\pi\) | ||||
−0.515623 | + | 0.856816i | \(0.672439\pi\) | |||||||
\(420\) | −2.92619 | + | 1.27607i | −0.142784 | + | 0.0622659i | ||||
\(421\) | −2.77136 | + | 8.52936i | −0.135068 | + | 0.415696i | −0.995601 | − | 0.0936992i | \(-0.970131\pi\) |
0.860533 | + | 0.509395i | \(0.170131\pi\) | |||||||
\(422\) | 0.680726 | − | 0.756023i | 0.0331372 | − | 0.0368026i | ||||
\(423\) | 1.19012 | + | 11.3233i | 0.0578659 | + | 0.550557i | ||||
\(424\) | 1.23464 | + | 11.7469i | 0.0599596 | + | 0.570478i | ||||
\(425\) | −10.2822 | + | 11.4196i | −0.498761 | + | 0.553931i | ||||
\(426\) | 2.83442 | − | 8.72344i | 0.137328 | − | 0.422652i | ||||
\(427\) | 2.01810 | − | 17.8828i | 0.0976627 | − | 0.865408i | ||||
\(428\) | 4.61293 | 0.222975 | ||||||||
\(429\) | 2.04243 | − | 13.8006i | 0.0986097 | − | 0.666297i | ||||
\(430\) | −0.610553 | + | 1.05751i | −0.0294435 | + | 0.0509976i | ||||
\(431\) | −22.2341 | + | 9.89927i | −1.07098 | + | 0.476831i | −0.865024 | − | 0.501730i | \(-0.832697\pi\) |
−0.205956 | + | 0.978561i | \(0.566030\pi\) | |||||||
\(432\) | 0.978148 | − | 0.207912i | 0.0470611 | − | 0.0100032i | ||||
\(433\) | −2.89353 | − | 8.90538i | −0.139054 | − | 0.427965i | 0.857144 | − | 0.515076i | \(-0.172236\pi\) |
−0.996199 | + | 0.0871113i | \(0.972236\pi\) | |||||||
\(434\) | 5.78861 | − | 4.13833i | 0.277862 | − | 0.198646i | ||||
\(435\) | −2.90127 | + | 2.10790i | −0.139105 | + | 0.101066i | ||||
\(436\) | 11.2342 | − | 12.4768i | 0.538020 | − | 0.597532i | ||||
\(437\) | 0.0940467 | + | 0.104449i | 0.00449886 | + | 0.00499649i | ||||
\(438\) | 2.55169 | − | 1.13609i | 0.121924 | − | 0.0542843i | ||||
\(439\) | −20.0366 | − | 34.7044i | −0.956294 | − | 1.65635i | −0.731379 | − | 0.681971i | \(-0.761123\pi\) |
−0.224915 | − | 0.974378i | \(-0.572210\pi\) | |||||||
\(440\) | −3.33390 | + | 2.21349i | −0.158937 | + | 0.105524i | ||||
\(441\) | −3.40677 | − | 6.11506i | −0.162227 | − | 0.291193i | ||||
\(442\) | −14.7546 | − | 10.7198i | −0.701805 | − | 0.509891i | ||||
\(443\) | 29.6323 | − | 6.29853i | 1.40787 | − | 0.299252i | 0.559578 | − | 0.828778i | \(-0.310963\pi\) |
0.848294 | + | 0.529525i | \(0.177630\pi\) | |||||||
\(444\) | −6.33434 | − | 1.34641i | −0.300614 | − | 0.0638976i | ||||
\(445\) | 0.385272 | + | 3.66562i | 0.0182637 | + | 0.173767i | ||||
\(446\) | 8.48567 | + | 3.77806i | 0.401808 | + | 0.178896i | ||||
\(447\) | 6.61959 | + | 20.3730i | 0.313096 | + | 0.963610i | ||||
\(448\) | 0.836823 | − | 2.50993i | 0.0395362 | − | 0.118583i | ||||
\(449\) | 32.5829 | + | 23.6728i | 1.53768 | + | 1.11719i | 0.951769 | + | 0.306815i | \(0.0992634\pi\) |
0.585911 | + | 0.810375i | \(0.300737\pi\) | |||||||
\(450\) | −1.77207 | − | 3.06932i | −0.0835363 | − | 0.144689i | ||||
\(451\) | 4.56197 | − | 7.18340i | 0.214815 | − | 0.338253i | ||||
\(452\) | −5.64366 | + | 9.77510i | −0.265455 | + | 0.459782i | ||||
\(453\) | 1.80543 | − | 17.1775i | 0.0848266 | − | 0.807071i | ||||
\(454\) | −2.47683 | + | 7.62291i | −0.116244 | + | 0.357761i | ||||
\(455\) | −9.06126 | + | 9.90990i | −0.424798 | + | 0.464583i | ||||
\(456\) | 0.0211854 | − | 0.0153921i | 0.000992098 | − | 0.000720801i | ||||
\(457\) | 22.8871 | + | 10.1900i | 1.07061 | + | 0.476668i | 0.864900 | − | 0.501944i | \(-0.167382\pi\) |
0.205714 | + | 0.978612i | \(0.434048\pi\) | |||||||
\(458\) | −3.40882 | − | 0.724566i | −0.159284 | − | 0.0338568i | ||||
\(459\) | −2.90119 | − | 3.22209i | −0.135416 | − | 0.150394i | ||||
\(460\) | 0.676935 | − | 6.44060i | 0.0315622 | − | 0.300295i | ||||
\(461\) | −23.5803 | −1.09824 | −0.549122 | − | 0.835742i | \(-0.685038\pi\) | ||||
−0.549122 | + | 0.835742i | \(0.685038\pi\) | |||||||
\(462\) | −5.53925 | − | 6.80564i | −0.257709 | − | 0.316627i | ||||
\(463\) | 35.1779 | 1.63485 | 0.817427 | − | 0.576032i | \(-0.195400\pi\) | ||||
0.817427 | + | 0.576032i | \(0.195400\pi\) | |||||||
\(464\) | 0.310675 | − | 2.95587i | 0.0144227 | − | 0.137223i | ||||
\(465\) | −2.17141 | − | 2.41159i | −0.100697 | − | 0.111835i | ||||
\(466\) | 4.27590 | + | 0.908870i | 0.198077 | + | 0.0421026i | ||||
\(467\) | 20.6182 | + | 9.17980i | 0.954095 | + | 0.424791i | 0.823924 | − | 0.566701i | \(-0.191781\pi\) |
0.130172 | + | 0.991491i | \(0.458447\pi\) | |||||||
\(468\) | 3.40301 | − | 2.47243i | 0.157304 | − | 0.114288i | ||||
\(469\) | −8.47735 | − | 1.86987i | −0.391448 | − | 0.0863424i | ||||
\(470\) | 4.24521 | − | 13.0654i | 0.195817 | − | 0.602663i | ||||
\(471\) | −1.88788 | + | 17.9620i | −0.0869890 | + | 0.827645i | ||||
\(472\) | −1.07222 | + | 1.85713i | −0.0493527 | + | 0.0854814i | ||||
\(473\) | −3.25081 | − | 0.835783i | −0.149472 | − | 0.0384294i | ||||
\(474\) | −6.28249 | − | 10.8816i | −0.288565 | − | 0.499808i | ||||
\(475\) | −0.0750842 | − | 0.0545519i | −0.00344510 | − | 0.00250301i | ||||
\(476\) | −11.2386 | + | 2.29904i | −0.515120 | + | 0.105377i | ||||
\(477\) | 3.64997 | + | 11.2335i | 0.167121 | + | 0.514345i | ||||
\(478\) | 6.51735 | + | 2.90171i | 0.298097 | + | 0.132721i | ||||
\(479\) | −2.77322 | − | 26.3854i | −0.126712 | − | 1.20558i | −0.854379 | − | 0.519650i | \(-0.826062\pi\) |
0.727668 | − | 0.685930i | \(-0.240604\pi\) | |||||||
\(480\) | −1.18022 | − | 0.250864i | −0.0538695 | − | 0.0114503i | ||||
\(481\) | −26.6444 | + | 5.66345i | −1.21488 | + | 0.258231i | ||||
\(482\) | 15.7651 | + | 11.4540i | 0.718082 | + | 0.521717i | ||||
\(483\) | 14.2000 | + | 0.108722i | 0.646124 | + | 0.00494704i | ||||
\(484\) | −8.32231 | − | 7.19299i | −0.378287 | − | 0.326954i | ||||
\(485\) | −11.3670 | − | 19.6882i | −0.516148 | − | 0.893994i | ||||
\(486\) | 0.913545 | − | 0.406737i | 0.0414393 | − | 0.0184499i | ||||
\(487\) | −19.8675 | − | 22.0650i | −0.900280 | − | 0.999863i | −0.999988 | − | 0.00484598i | \(-0.998457\pi\) |
0.0997078 | − | 0.995017i | \(-0.468209\pi\) | |||||||
\(488\) | 4.55140 | − | 5.05484i | 0.206032 | − | 0.228822i | ||||
\(489\) | −6.48637 | + | 4.71262i | −0.293324 | + | 0.213112i | ||||
\(490\) | 0.754137 | + | 8.41238i | 0.0340684 | + | 0.380032i | ||||
\(491\) | −0.895409 | − | 2.75579i | −0.0404092 | − | 0.124367i | 0.928817 | − | 0.370539i | \(-0.120827\pi\) |
−0.969226 | + | 0.246172i | \(0.920827\pi\) | |||||||
\(492\) | 2.50966 | − | 0.533446i | 0.113144 | − | 0.0240496i | ||||
\(493\) | −11.7724 | + | 5.24143i | −0.530204 | + | 0.236062i | ||||
\(494\) | 0.0550750 | − | 0.0953927i | 0.00247794 | − | 0.00429192i | ||||
\(495\) | −2.80083 | + | 2.85827i | −0.125888 | + | 0.128470i | ||||
\(496\) | 2.68950 | 0.120762 | ||||||||
\(497\) | −19.5233 | − | 14.4141i | −0.875738 | − | 0.646563i | ||||
\(498\) | 0.735104 | − | 2.26242i | 0.0329408 | − | 0.101381i | ||||
\(499\) | −13.7194 | + | 15.2369i | −0.614163 | + | 0.682097i | −0.967347 | − | 0.253457i | \(-0.918432\pi\) |
0.353184 | + | 0.935554i | \(0.385099\pi\) | |||||||
\(500\) | 1.07761 | + | 10.2528i | 0.0481922 | + | 0.458518i | ||||
\(501\) | 1.78721 | + | 17.0042i | 0.0798467 | + | 0.759691i | ||||
\(502\) | −6.94788 | + | 7.71640i | −0.310099 | + | 0.344400i | ||||
\(503\) | −6.14130 | + | 18.9010i | −0.273827 | + | 0.842752i | 0.715701 | + | 0.698407i | \(0.246108\pi\) |
−0.989527 | + | 0.144345i | \(0.953892\pi\) | |||||||
\(504\) | 0.296694 | − | 2.62906i | 0.0132158 | − | 0.117108i | ||||
\(505\) | 1.56886 | 0.0698135 | ||||||||
\(506\) | 17.5529 | − | 2.96303i | 0.780321 | − | 0.131723i | ||||
\(507\) | 2.34668 | − | 4.06457i | 0.104220 | − | 0.180514i | ||||
\(508\) | 12.1894 | − | 5.42707i | 0.540818 | − | 0.240787i | ||||
\(509\) | −16.3200 | + | 3.46892i | −0.723370 | + | 0.153757i | −0.554861 | − | 0.831943i | \(-0.687229\pi\) |
−0.168509 | + | 0.985700i | \(0.553895\pi\) | |||||||
\(510\) | 1.61661 | + | 4.97542i | 0.0715848 | + | 0.220315i | ||||
\(511\) | −0.716177 | − | 7.35526i | −0.0316818 | − | 0.325377i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | 0.0175223 | − | 0.0194604i | 0.000773627 | − | 0.000859199i | ||||
\(514\) | −11.8557 | − | 13.1671i | −0.522934 | − | 0.580777i | ||||
\(515\) | 16.5316 | − | 7.36034i | 0.728469 | − | 0.324335i | ||||
\(516\) | −0.506016 | − | 0.876446i | −0.0222761 | − | 0.0385834i | ||||
\(517\) | 37.7283 | + | 1.59347i | 1.65929 | + | 0.0700806i | ||||
\(518\) | −8.68010 | + | 14.7720i | −0.381382 | + | 0.649045i | ||||
\(519\) | −4.19774 | − | 3.04984i | −0.184260 | − | 0.133873i | ||||
\(520\) | −4.96442 | + | 1.05522i | −0.217704 | + | 0.0462744i | ||||
\(521\) | 25.2086 | + | 5.35826i | 1.10441 | + | 0.234750i | 0.723816 | − | 0.689993i | \(-0.242386\pi\) |
0.380594 | + | 0.924742i | \(0.375720\pi\) | |||||||
\(522\) | −0.310675 | − | 2.95587i | −0.0135979 | − | 0.129375i | ||||
\(523\) | −13.5873 | − | 6.04947i | −0.594133 | − | 0.264525i | 0.0875650 | − | 0.996159i | \(-0.472091\pi\) |
−0.681698 | + | 0.731634i | \(0.738758\pi\) | |||||||
\(524\) | −0.272768 | − | 0.839495i | −0.0119159 | − | 0.0366735i | ||||
\(525\) | −9.18668 | + | 1.87929i | −0.400940 | + | 0.0820191i | ||||
\(526\) | −10.2595 | − | 7.45396i | −0.447336 | − | 0.325008i | ||||
\(527\) | −5.83050 | − | 10.0987i | −0.253981 | − | 0.439907i | ||||
\(528\) | −0.207186 | − | 3.31015i | −0.00901660 | − | 0.144056i | ||||
\(529\) | −2.90380 | + | 5.02952i | −0.126252 | + | 0.218675i | ||||
\(530\) | 1.48971 | − | 14.1736i | 0.0647087 | − | 0.615662i | ||||
\(531\) | −0.662666 | + | 2.03947i | −0.0287572 | + | 0.0885057i | ||||
\(532\) | −0.0209046 | − | 0.0660543i | −0.000906329 | − | 0.00286382i | ||||
\(533\) | 8.73120 | − | 6.34359i | 0.378190 | − | 0.274771i | ||||
\(534\) | −2.79065 | − | 1.24248i | −0.120763 | − | 0.0537672i | ||||
\(535\) | −5.44428 | − | 1.15722i | −0.235377 | − | 0.0500309i | ||||
\(536\) | −2.19552 | − | 2.43837i | −0.0948321 | − | 0.105322i | ||||
\(537\) | −2.42828 | + | 23.1035i | −0.104788 | + | 0.996989i | ||||
\(538\) | −31.5115 | −1.35856 | ||||||||
\(539\) | −21.7170 | + | 8.20799i | −0.935418 | + | 0.353543i | ||||
\(540\) | −1.20659 | −0.0519233 | ||||||||
\(541\) | 2.11417 | − | 20.1150i | 0.0908955 | − | 0.864813i | −0.850152 | − | 0.526538i | \(-0.823490\pi\) |
0.941047 | − | 0.338275i | \(-0.109843\pi\) | |||||||
\(542\) | −8.57997 | − | 9.52902i | −0.368541 | − | 0.409306i | ||||
\(543\) | −17.0021 | − | 3.61392i | −0.729632 | − | 0.155088i | ||||
\(544\) | −3.96091 | − | 1.76351i | −0.169823 | − | 0.0756099i | ||||
\(545\) | −16.3888 | + | 11.9072i | −0.702019 | + | 0.510047i | ||||
\(546\) | −3.35790 | − | 10.6103i | −0.143705 | − | 0.454078i | ||||
\(547\) | −8.05689 | + | 24.7966i | −0.344488 | + | 1.06022i | 0.617370 | + | 0.786673i | \(0.288198\pi\) |
−0.961857 | + | 0.273551i | \(0.911802\pi\) | |||||||
\(548\) | 0.834115 | − | 7.93608i | 0.0356316 | − | 0.339012i | ||||
\(549\) | 3.40098 | − | 5.89067i | 0.145150 | − | 0.251408i | ||||
\(550\) | −10.9305 | + | 4.32364i | −0.466080 | + | 0.184360i | ||||
\(551\) | −0.0389153 | − | 0.0674033i | −0.00165785 | − | 0.00287148i | ||||
\(552\) | 4.34221 | + | 3.15480i | 0.184817 | + | 0.134277i | ||||
\(553\) | −32.5693 | + | 6.66262i | −1.38499 | + | 0.283323i | ||||
\(554\) | −1.27454 | − | 3.92262i | −0.0541499 | − | 0.166656i | ||||
\(555\) | 7.13815 | + | 3.17811i | 0.302998 | + | 0.134903i | ||||
\(556\) | 0.907113 | + | 8.63060i | 0.0384701 | + | 0.366019i | ||||
\(557\) | 23.1286 | + | 4.91613i | 0.979989 | + | 0.208303i | 0.669938 | − | 0.742417i | \(-0.266321\pi\) |
0.310051 | + | 0.950720i | \(0.399654\pi\) | |||||||
\(558\) | 2.63073 | − | 0.559178i | 0.111368 | − | 0.0236719i | ||||
\(559\) | −3.44395 | − | 2.50218i | −0.145664 | − | 0.105831i | ||||
\(560\) | −1.61729 | + | 2.75234i | −0.0683428 | + | 0.116307i | ||||
\(561\) | −11.9800 | + | 7.95395i | −0.505797 | + | 0.335816i | ||||
\(562\) | 5.93624 | + | 10.2819i | 0.250405 | + | 0.433714i | ||||
\(563\) | 7.22829 | − | 3.21824i | 0.304636 | − | 0.135633i | −0.248725 | − | 0.968574i | \(-0.580012\pi\) |
0.553361 | + | 0.832941i | \(0.313345\pi\) | |||||||
\(564\) | 7.61849 | + | 8.46119i | 0.320796 | + | 0.356280i | ||||
\(565\) | 9.11298 | − | 10.1210i | 0.383386 | − | 0.425793i | ||||
\(566\) | 0.842212 | − | 0.611902i | 0.0354008 | − | 0.0257202i | ||||
\(567\) | −0.256403 | − | 2.63330i | −0.0107679 | − | 0.110588i | ||||
\(568\) | −2.83442 | − | 8.72344i | −0.118929 | − | 0.366027i | ||||
\(569\) | 34.3048 | − | 7.29171i | 1.43813 | − | 0.305685i | 0.578118 | − | 0.815953i | \(-0.303787\pi\) |
0.860015 | + | 0.510269i | \(0.170454\pi\) | |||||||
\(570\) | −0.0288648 | + | 0.0128514i | −0.00120901 | + | 0.000538287i | ||||
\(571\) | 10.5372 | − | 18.2509i | 0.440967 | − | 0.763777i | −0.556795 | − | 0.830650i | \(-0.687969\pi\) |
0.997761 | + | 0.0668731i | \(0.0213023\pi\) | |||||||
\(572\) | −6.45940 | − | 12.3654i | −0.270081 | − | 0.517023i | ||||
\(573\) | 12.8628 | 0.537353 | ||||||||
\(574\) | 0.761237 | − | 6.74547i | 0.0317734 | − | 0.281551i | ||||
\(575\) | 5.87824 | − | 18.0914i | 0.245140 | − | 0.754462i | ||||
\(576\) | 0.669131 | − | 0.743145i | 0.0278804 | − | 0.0309644i | ||||
\(577\) | 2.57820 | + | 24.5299i | 0.107332 | + | 1.02119i | 0.907109 | + | 0.420896i | \(0.138284\pi\) |
−0.799777 | + | 0.600297i | \(0.795049\pi\) | |||||||
\(578\) | 0.188022 | + | 1.78891i | 0.00782069 | + | 0.0744088i | ||||
\(579\) | −10.1708 | + | 11.2958i | −0.422684 | + | 0.469438i | ||||
\(580\) | −1.10819 | + | 3.41065i | −0.0460149 | + | 0.141619i | ||||
\(581\) | −5.06335 | − | 3.73830i | −0.210063 | − | 0.155091i | ||||
\(582\) | 18.8415 | 0.781007 | ||||||||
\(583\) | 38.6280 | − | 6.52063i | 1.59981 | − | 0.270057i | ||||
\(584\) | 1.39659 | − | 2.41896i | 0.0577912 | − | 0.100097i | ||||
\(585\) | −4.63654 | + | 2.06432i | −0.191697 | + | 0.0853492i | ||||
\(586\) | −1.11981 | + | 0.238022i | −0.0462588 | + | 0.00983261i | ||||
\(587\) | −1.18255 | − | 3.63951i | −0.0488090 | − | 0.150219i | 0.923682 | − | 0.383161i | \(-0.125165\pi\) |
−0.972491 | + | 0.232943i | \(0.925165\pi\) | |||||||
\(588\) | −6.35047 | − | 2.94474i | −0.261889 | − | 0.121439i | ||||
\(589\) | 0.0569781 | − | 0.0413970i | 0.00234774 | − | 0.00170573i | ||||
\(590\) | 1.73134 | − | 1.92285i | 0.0712780 | − | 0.0791623i | ||||
\(591\) | −5.71173 | − | 6.34352i | −0.234949 | − | 0.260938i | ||||
\(592\) | −5.91599 | + | 2.63397i | −0.243146 | + | 0.108255i | ||||
\(593\) | 12.8958 | + | 22.3362i | 0.529567 | + | 0.917236i | 0.999405 | + | 0.0344841i | \(0.0109788\pi\) |
−0.469839 | + | 0.882752i | \(0.655688\pi\) | |||||||
\(594\) | −0.890876 | − | 3.19474i | −0.0365531 | − | 0.131082i | ||||
\(595\) | 13.8408 | + | 0.105971i | 0.567416 | + | 0.00434441i | ||||
\(596\) | 17.3303 | + | 12.5912i | 0.709877 | + | 0.515756i | ||||
\(597\) | −1.29038 | + | 0.274278i | −0.0528117 | + | 0.0112255i | ||||
\(598\) | 22.0833 | + | 4.69394i | 0.903051 | + | 0.191949i | ||||
\(599\) | −0.667250 | − | 6.34846i | −0.0272631 | − | 0.259391i | −0.999660 | − | 0.0260596i | \(-0.991704\pi\) |
0.972397 | − | 0.233331i | \(-0.0749626\pi\) | |||||||
\(600\) | −3.23774 | − | 1.44153i | −0.132180 | − | 0.0588504i | ||||
\(601\) | 8.31679 | + | 25.5965i | 0.339249 | + | 1.04410i | 0.964591 | + | 0.263750i | \(0.0849595\pi\) |
−0.625342 | + | 0.780351i | \(0.715040\pi\) | |||||||
\(602\) | −2.62326 | + | 0.536633i | −0.106916 | + | 0.0218715i | ||||
\(603\) | −2.65451 | − | 1.92861i | −0.108100 | − | 0.0785393i | ||||
\(604\) | −8.63607 | − | 14.9581i | −0.351397 | − | 0.608637i | ||||
\(605\) | 8.01770 | + | 10.5771i | 0.325966 | + | 0.430020i | ||||
\(606\) | −0.650124 | + | 1.12605i | −0.0264095 | + | 0.0457426i | ||||
\(607\) | 2.51687 | − | 23.9464i | 0.102157 | − | 0.971956i | −0.816619 | − | 0.577177i | \(-0.804154\pi\) |
0.918776 | − | 0.394779i | \(-0.129179\pi\) | |||||||
\(608\) | 0.00809211 | − | 0.0249049i | 0.000328178 | − | 0.00101003i | ||||
\(609\) | −7.67900 | − | 1.69377i | −0.311169 | − | 0.0686352i | ||||
\(610\) | −6.63973 | + | 4.82405i | −0.268835 | + | 0.195320i | ||||
\(611\) | 43.7515 | + | 19.4794i | 1.77000 | + | 0.788054i | ||||
\(612\) | −4.24101 | − | 0.901454i | −0.171433 | − | 0.0364391i | ||||
\(613\) | −14.0582 | − | 15.6132i | −0.567806 | − | 0.630612i | 0.389036 | − | 0.921223i | \(-0.372808\pi\) |
−0.956841 | + | 0.290610i | \(0.906142\pi\) | |||||||
\(614\) | −1.84310 | + | 17.5359i | −0.0743815 | + | 0.707693i | ||||
\(615\) | −3.09578 | −0.124834 | ||||||||
\(616\) | −8.48160 | − | 2.24999i | −0.341733 | − | 0.0906546i | ||||
\(617\) | −8.04764 | −0.323986 | −0.161993 | − | 0.986792i | \(-0.551792\pi\) | ||||
−0.161993 | + | 0.986792i | \(0.551792\pi\) | |||||||
\(618\) | −1.56769 | + | 14.9156i | −0.0630618 | + | 0.599993i | ||||
\(619\) | 2.06251 | + | 2.29065i | 0.0828991 | + | 0.0920688i | 0.783167 | − | 0.621811i | \(-0.213603\pi\) |
−0.700268 | + | 0.713880i | \(0.746936\pi\) | |||||||
\(620\) | −3.17420 | − | 0.674697i | −0.127479 | − | 0.0270965i | ||||
\(621\) | 4.90325 | + | 2.18307i | 0.196760 | + | 0.0876034i | ||||
\(622\) | 19.8641 | − | 14.4321i | 0.796477 | − | 0.578674i | ||||
\(623\) | −5.45380 | + | 5.96458i | −0.218502 | + | 0.238966i | ||||
\(624\) | 1.29983 | − | 4.00047i | 0.0520350 | − | 0.160147i | ||||
\(625\) | −0.552089 | + | 5.25278i | −0.0220836 | + | 0.210111i | ||||
\(626\) | 15.5567 | − | 26.9450i | 0.621770 | − | 1.07694i | ||||
\(627\) | −0.0553394 | − | 0.0669378i | −0.00221004 | − | 0.00267324i | ||||
\(628\) | 9.03046 | + | 15.6412i | 0.360355 | + | 0.624153i | ||||
\(629\) | 22.7153 | + | 16.5037i | 0.905720 | + | 0.658044i | ||||
\(630\) | −1.00970 | + | 3.02844i | −0.0402274 | + | 0.120656i | ||||
\(631\) | −4.90944 | − | 15.1097i | −0.195442 | − | 0.601508i | −0.999971 | − | 0.00759504i | \(-0.997582\pi\) |
0.804529 | − | 0.593913i | \(-0.202418\pi\) | |||||||
\(632\) | −11.4787 | − | 5.11064i | −0.456598 | − | 0.203290i | ||||
\(633\) | −0.106340 | − | 1.01176i | −0.00422663 | − | 0.0402137i | ||||
\(634\) | −30.5436 | − | 6.49223i | −1.21304 | − | 0.257839i | ||||
\(635\) | −15.7476 | + | 3.34727i | −0.624926 | + | 0.132832i | ||||
\(636\) | 9.55575 | + | 6.94266i | 0.378910 | + | 0.275294i | ||||
\(637\) | −29.4410 | − | 0.450855i | −1.16649 | − | 0.0178635i | ||||
\(638\) | −9.84875 | − | 0.415965i | −0.389916 | − | 0.0164682i | ||||
\(639\) | −4.58618 | − | 7.94350i | −0.181427 | − | 0.314240i | ||||
\(640\) | −1.10227 | + | 0.490763i | −0.0435711 | + | 0.0193991i | ||||
\(641\) | 3.92178 | + | 4.35558i | 0.154901 | + | 0.172035i | 0.815600 | − | 0.578616i | \(-0.196407\pi\) |
−0.660699 | + | 0.750651i | \(0.729740\pi\) | |||||||
\(642\) | 3.08666 | − | 3.42808i | 0.121821 | − | 0.135295i | ||||
\(643\) | 18.6602 | − | 13.5575i | 0.735888 | − | 0.534654i | −0.155532 | − | 0.987831i | \(-0.549709\pi\) |
0.891421 | + | 0.453177i | \(0.149709\pi\) | |||||||
\(644\) | 11.5520 | − | 8.25862i | 0.455212 | − | 0.325435i | ||||
\(645\) | 0.377342 | + | 1.16134i | 0.0148578 | + | 0.0457277i | ||||
\(646\) | −0.111058 | + | 0.0236060i | −0.00436950 | + | 0.000928766i | ||||
\(647\) | −5.93111 | + | 2.64070i | −0.233176 | + | 0.103817i | −0.519999 | − | 0.854167i | \(-0.674068\pi\) |
0.286823 | + | 0.957984i | \(0.407401\pi\) | |||||||
\(648\) | 0.500000 | − | 0.866025i | 0.0196419 | − | 0.0340207i | ||||
\(649\) | 6.36953 | + | 3.16442i | 0.250026 | + | 0.124214i | ||||
\(650\) | −14.9079 | −0.584737 | ||||||||
\(651\) | 0.797957 | − | 7.07086i | 0.0312744 | − | 0.277129i | ||||
\(652\) | −2.47757 | + | 7.62518i | −0.0970292 | + | 0.298625i | ||||
\(653\) | 27.9200 | − | 31.0083i | 1.09259 | − | 1.21345i | 0.117168 | − | 0.993112i | \(-0.462618\pi\) |
0.975424 | − | 0.220335i | \(-0.0707151\pi\) | |||||||
\(654\) | −1.75495 | − | 16.6973i | −0.0686241 | − | 0.652915i | ||||
\(655\) | 0.111328 | + | 1.05922i | 0.00434995 | + | 0.0413870i | ||||
\(656\) | 1.71681 | − | 1.90671i | 0.0670302 | − | 0.0744445i | ||||
\(657\) | 0.863138 | − | 2.65647i | 0.0336742 | − | 0.103639i | ||||
\(658\) | 27.6123 | − | 12.0413i | 1.07644 | − | 0.469420i | ||||
\(659\) | 36.9193 | 1.43817 | 0.719086 | − | 0.694921i | \(-0.244561\pi\) | ||||
0.719086 | + | 0.694921i | \(0.244561\pi\) | |||||||
\(660\) | −0.585871 | + | 3.95868i | −0.0228050 | + | 0.154091i | ||||
\(661\) | 23.8818 | − | 41.3645i | 0.928895 | − | 1.60889i | 0.143721 | − | 0.989618i | \(-0.454093\pi\) |
0.785174 | − | 0.619275i | \(-0.212574\pi\) | |||||||
\(662\) | 24.3802 | − | 10.8548i | 0.947564 | − | 0.421883i | ||||
\(663\) | −17.8392 | + | 3.79183i | −0.692815 | + | 0.147262i | ||||
\(664\) | −0.735104 | − | 2.26242i | −0.0285276 | − | 0.0877989i | ||||
\(665\) | 0.00810141 | + | 0.0832028i | 0.000314159 | + | 0.00322647i | ||||
\(666\) | −5.23907 | + | 3.80641i | −0.203010 | + | 0.147495i | ||||
\(667\) | 10.6742 | − | 11.8549i | 0.413307 | − | 0.459024i | ||||
\(668\) | 11.4407 | + | 12.7062i | 0.442654 | + | 0.491617i | ||||
\(669\) | 8.48567 | − | 3.77806i | 0.328075 | − | 0.146068i | ||||
\(670\) | 1.97950 | + | 3.42859i | 0.0764748 | + | 0.132458i | ||||
\(671\) | −17.6753 | − | 14.0185i | −0.682346 | − | 0.541179i | ||||
\(672\) | −1.30529 | − | 2.30135i | −0.0503528 | − | 0.0887765i | ||||
\(673\) | 12.0226 | + | 8.73491i | 0.463436 | + | 0.336706i | 0.794878 | − | 0.606770i | \(-0.207535\pi\) |
−0.331442 | + | 0.943476i | \(0.607535\pi\) | |||||||
\(674\) | −6.59019 | + | 1.40079i | −0.253845 | + | 0.0539563i | ||||
\(675\) | −3.46670 | − | 0.736870i | −0.133433 | − | 0.0283621i | ||||
\(676\) | −0.490590 | − | 4.66765i | −0.0188688 | − | 0.179525i | ||||
\(677\) | 15.1081 | + | 6.72657i | 0.580653 | + | 0.258523i | 0.675977 | − | 0.736923i | \(-0.263722\pi\) |
−0.0953239 | + | 0.995446i | \(0.530389\pi\) | |||||||
\(678\) | 3.48797 | + | 10.7349i | 0.133955 | + | 0.412270i | ||||
\(679\) | 15.7670 | − | 47.2909i | 0.605083 | − | 1.81486i | ||||
\(680\) | 4.23235 | + | 3.07498i | 0.162303 | + | 0.117920i | ||||
\(681\) | 4.00760 | + | 6.94137i | 0.153572 | + | 0.265994i | ||||
\(682\) | −0.557225 | − | 8.90263i | −0.0213373 | − | 0.340899i | ||||
\(683\) | 7.88153 | − | 13.6512i | 0.301578 | − | 0.522349i | −0.674915 | − | 0.737895i | \(-0.735820\pi\) |
0.976494 | + | 0.215546i | \(0.0691532\pi\) | |||||||
\(684\) | 0.00273725 | − | 0.0260432i | 0.000104661 | − | 0.000995785i | ||||
\(685\) | −2.97531 | + | 9.15707i | −0.113681 | + | 0.349874i | ||||
\(686\) | −12.7053 | + | 13.4750i | −0.485091 | + | 0.514477i | ||||
\(687\) | −2.81940 | + | 2.04842i | −0.107567 | + | 0.0781519i | ||||
\(688\) | −0.924538 | − | 0.411631i | −0.0352477 | − | 0.0156933i | ||||
\(689\) | 48.5978 | + | 10.3298i | 1.85143 | + | 0.393533i | ||||
\(690\) | −4.33334 | − | 4.81267i | −0.164968 | − | 0.183215i | ||||
\(691\) | −1.46763 | + | 13.9636i | −0.0558313 | + | 0.531199i | 0.930484 | + | 0.366331i | \(0.119386\pi\) |
−0.986316 | + | 0.164868i | \(0.947280\pi\) | |||||||
\(692\) | −5.18870 | −0.197245 | ||||||||
\(693\) | −8.76406 | − | 0.437396i | −0.332919 | − | 0.0166153i | ||||
\(694\) | −28.6246 | −1.08658 | ||||||||
\(695\) | 1.09451 | − | 10.4136i | 0.0415172 | − | 0.395009i | ||||
\(696\) | −1.98876 | − | 2.20874i | −0.0753838 | − | 0.0837222i | ||||
\(697\) | −10.8813 | − | 2.31289i | −0.412158 | − | 0.0876069i | ||||
\(698\) | 28.6432 | + | 12.7528i | 1.08416 | + | 0.482700i | ||||
\(699\) | 3.53656 | − | 2.56946i | 0.133765 | − | 0.0971858i | ||||
\(700\) | −6.32756 | + | 6.92018i | −0.239159 | + | 0.261558i | ||||
\(701\) | 3.35575 | − | 10.3279i | 0.126745 | − | 0.390081i | −0.867470 | − | 0.497489i | \(-0.834255\pi\) |
0.994215 | + | 0.107409i | \(0.0342554\pi\) | |||||||
\(702\) | 0.439683 | − | 4.18331i | 0.0165948 | − | 0.157889i | ||||
\(703\) | −0.0847903 | + | 0.146861i | −0.00319793 | + | 0.00553897i | ||||
\(704\) | −2.11327 | − | 2.55618i | −0.0796470 | − | 0.0963398i | ||||
\(705\) | −6.86889 | − | 11.8973i | −0.258698 | − | 0.448077i | ||||
\(706\) | 6.58308 | + | 4.78289i | 0.247757 | + | 0.180006i | ||||
\(707\) | 2.28226 | + | 2.57407i | 0.0858332 | + | 0.0968078i | ||||
\(708\) | 0.662666 | + | 2.03947i | 0.0249045 | + | 0.0766482i | ||||
\(709\) | −33.3496 | − | 14.8482i | −1.25247 | − | 0.557635i | −0.330101 | − | 0.943946i | \(-0.607083\pi\) |
−0.922369 | + | 0.386310i | \(0.873749\pi\) | |||||||
\(710\) | 1.15684 | + | 11.0066i | 0.0434156 | + | 0.413072i | ||||
\(711\) | −12.2904 | − | 2.61241i | −0.460927 | − | 0.0979730i | ||||
\(712\) | −2.98799 | + | 0.635116i | −0.111980 | + | 0.0238020i | ||||
\(713\) | 11.6784 | + | 8.48483i | 0.437358 | + | 0.317760i | ||||
\(714\) | −5.81156 | + | 9.89026i | −0.217492 | + | 0.370134i | ||||
\(715\) | 4.52149 | + | 16.2143i | 0.169094 | + | 0.606382i | ||||
\(716\) | 11.6154 | + | 20.1184i | 0.434087 | + | 0.751861i | ||||
\(717\) | 6.51735 | − | 2.90171i | 0.243395 | − | 0.108366i | ||||
\(718\) | 15.5546 | + | 17.2751i | 0.580491 | + | 0.644700i | ||||
\(719\) | −12.1083 | + | 13.4476i | −0.451564 | + | 0.501512i | −0.925343 | − | 0.379131i | \(-0.876223\pi\) |
0.473779 | + | 0.880644i | \(0.342890\pi\) | |||||||
\(720\) | −0.976150 | + | 0.709214i | −0.0363790 | + | 0.0264309i | ||||
\(721\) | 36.1251 | + | 16.4165i | 1.34537 | + | 0.611382i | ||||
\(722\) | 5.87111 | + | 18.0694i | 0.218500 | + | 0.672474i | ||||
\(723\) | 19.0609 | − | 4.05153i | 0.708884 | − | 0.150678i | ||||
\(724\) | −15.8792 | + | 7.06989i | −0.590147 | + | 0.262750i | ||||
\(725\) | −5.26688 | + | 9.12250i | −0.195607 | + | 0.338801i | ||||
\(726\) | −10.9141 | + | 1.37163i | −0.405062 | + | 0.0509060i | ||||
\(727\) | 27.5893 | 1.02323 | 0.511615 | − | 0.859215i | \(-0.329048\pi\) | ||||
0.511615 | + | 0.859215i | \(0.329048\pi\) | |||||||
\(728\) | −8.95316 | − | 6.61017i | −0.331826 | − | 0.244989i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −2.25511 | + | 2.50455i | −0.0834653 | + | 0.0926976i | ||||
\(731\) | 0.458663 | + | 4.36389i | 0.0169643 | + | 0.161404i | ||||
\(732\) | −0.710998 | − | 6.76470i | −0.0262793 | − | 0.250030i | ||||
\(733\) | 23.6009 | − | 26.2114i | 0.871718 | − | 0.968141i | −0.128003 | − | 0.991774i | \(-0.540857\pi\) |
0.999721 | + | 0.0236331i | \(0.00752335\pi\) | |||||||
\(734\) | 5.96478 | − | 18.3577i | 0.220164 | − | 0.677595i | ||||
\(735\) | 6.75623 | + | 5.06855i | 0.249207 | + | 0.186956i | ||||
\(736\) | 5.36727 | 0.197840 | ||||||||
\(737\) | −7.61649 | + | 7.77269i | −0.280557 | + | 0.286311i | ||||
\(738\) | 1.28287 | − | 2.22199i | 0.0472229 | − | 0.0817925i | ||||
\(739\) | 9.88311 | − | 4.40024i | 0.363556 | − | 0.161866i | −0.216825 | − | 0.976210i | \(-0.569570\pi\) |
0.580381 | + | 0.814345i | \(0.302904\pi\) | |||||||
\(740\) | 7.64293 | − | 1.62456i | 0.280960 | − | 0.0597199i | ||||
\(741\) | −0.0340382 | − | 0.104759i | −0.00125042 | − | 0.00384841i | ||||
\(742\) | 25.4220 | − | 18.1744i | 0.933272 | − | 0.667205i | ||||
\(743\) | −2.25197 | + | 1.63615i | −0.0826168 | + | 0.0600246i | −0.628327 | − | 0.777949i | \(-0.716260\pi\) |
0.545710 | + | 0.837974i | \(0.316260\pi\) | |||||||
\(744\) | 1.79963 | − | 1.99869i | 0.0659775 | − | 0.0732754i | ||||
\(745\) | −17.2949 | − | 19.2080i | −0.633637 | − | 0.703725i | ||||
\(746\) | −0.519181 | + | 0.231154i | −0.0190086 | + | 0.00846316i | ||||
\(747\) | −1.18942 | − | 2.06014i | −0.0435187 | − | 0.0753767i | ||||
\(748\) | −5.01683 | + | 13.4766i | −0.183434 | + | 0.492752i | ||||
\(749\) | −6.02124 | − | 10.6160i | −0.220011 | − | 0.387899i | ||||
\(750\) | 8.34037 | + | 6.05963i | 0.304547 | + | 0.221266i | ||||
\(751\) | −0.593477 | + | 0.126148i | −0.0216563 | + | 0.00460319i | −0.218727 | − | 0.975786i | \(-0.570190\pi\) |
0.197071 | + | 0.980389i | \(0.436857\pi\) | |||||||
\(752\) | 11.1369 | + | 2.36721i | 0.406119 | + | 0.0863233i | ||||
\(753\) | 1.08537 | + | 10.3266i | 0.0395529 | + | 0.376321i | ||||
\(754\) | −11.4211 | − | 5.08499i | −0.415931 | − | 0.185184i | ||||
\(755\) | 6.44002 | + | 19.8204i | 0.234376 | + | 0.721337i | ||||
\(756\) | −1.75525 | − | 1.97967i | −0.0638377 | − | 0.0720000i | ||||
\(757\) | −10.5666 | − | 7.67711i | −0.384051 | − | 0.279029i | 0.378962 | − | 0.925412i | \(-0.376281\pi\) |
−0.763013 | + | 0.646383i | \(0.776281\pi\) | |||||||
\(758\) | −6.09915 | − | 10.5640i | −0.221531 | − | 0.383703i | ||||
\(759\) | 9.54322 | − | 15.0270i | 0.346397 | − | 0.545445i | ||||
\(760\) | −0.0157982 | + | 0.0273633i | −0.000573061 | + | 0.000992572i | ||||
\(761\) | 0.0854314 | − | 0.812825i | 0.00309688 | − | 0.0294649i | −0.992864 | − | 0.119249i | \(-0.961951\pi\) |
0.995961 | + | 0.0897846i | \(0.0286178\pi\) | |||||||
\(762\) | 4.12320 | − | 12.6899i | 0.149368 | − | 0.459707i | ||||
\(763\) | −43.3775 | − | 9.56786i | −1.57037 | − | 0.346380i | ||||
\(764\) | 10.4063 | − | 7.56059i | 0.376485 | − | 0.273532i | ||||
\(765\) | 4.77918 | + | 2.12783i | 0.172792 | + | 0.0769318i | ||||
\(766\) | 32.5651 | + | 6.92192i | 1.17662 | + | 0.250099i | ||||
\(767\) | 6.03571 | + | 6.70333i | 0.217937 | + | 0.242043i | ||||
\(768\) | 0.104528 | − | 0.994522i | 0.00377185 | − | 0.0358867i | ||||
\(769\) | 25.6336 | 0.924372 | 0.462186 | − | 0.886783i | \(-0.347065\pi\) | ||||
0.462186 | + | 0.886783i | \(0.347065\pi\) | |||||||
\(770\) | 9.44572 | + | 4.78321i | 0.340400 | + | 0.172375i | ||||
\(771\) | −17.7181 | −0.638103 | ||||||||
\(772\) | −1.58884 | + | 15.1168i | −0.0571835 | + | 0.544064i | ||||
\(773\) | 13.8460 | + | 15.3776i | 0.498007 | + | 0.553092i | 0.938776 | − | 0.344528i | \(-0.111961\pi\) |
−0.440769 | + | 0.897620i | \(0.645294\pi\) | |||||||
\(774\) | −0.989917 | − | 0.210413i | −0.0355818 | − | 0.00756315i | ||||
\(775\) | −8.70789 | − | 3.87700i | −0.312797 | − | 0.139266i | ||||
\(776\) | 15.2431 | − | 11.0748i | 0.547196 | − | 0.397561i | ||||
\(777\) | 5.16963 | + | 16.3350i | 0.185459 | + | 0.586014i | ||||
\(778\) | −5.11193 | + | 15.7329i | −0.183272 | + | 0.564052i | ||||
\(779\) | 0.00702304 | − | 0.0668197i | 0.000251626 | − | 0.00239407i | ||||
\(780\) | −2.53766 | + | 4.39536i | −0.0908629 | + | 0.157379i | ||||
\(781\) | −28.2886 | + | 11.1897i | −1.01225 | + | 0.400399i | ||||
\(782\) | −11.6356 | − | 20.1534i | −0.416088 | − | 0.720685i | ||||
\(783\) | −2.40452 | − | 1.74699i | −0.0859307 | − | 0.0624323i | ||||
\(784\) | −6.86852 | + | 1.35037i | −0.245304 | + | 0.0482275i | ||||
\(785\) | −6.73413 | − | 20.7255i | −0.240351 | − | 0.739725i | ||||
\(786\) | −0.806384 | − | 0.359025i | −0.0287628 | − | 0.0128060i | ||||
\(787\) | −1.56199 | − | 14.8613i | −0.0556789 | − | 0.529750i | −0.986440 | − | 0.164122i | \(-0.947521\pi\) |
0.930761 | − | 0.365628i | \(-0.119146\pi\) | |||||||
\(788\) | −8.34952 | − | 1.77474i | −0.297439 | − | 0.0632226i | ||||
\(789\) | −12.4043 | + | 2.63662i | −0.441606 | + | 0.0938662i | ||||
\(790\) | 12.2653 | + | 8.91127i | 0.436380 | + | 0.317049i | ||||
\(791\) | 29.8626 | + | 0.228642i | 1.06179 | + | 0.00812958i | ||||
\(792\) | −2.59855 | − | 2.06095i | −0.0923356 | − | 0.0732327i | ||||
\(793\) | −14.3057 | − | 24.7782i | −0.508010 | − | 0.879900i | ||||
\(794\) | 32.2716 | − | 14.3682i | 1.14528 | − | 0.509910i | ||||
\(795\) | −9.53623 | − | 10.5911i | −0.338215 | − | 0.375626i | ||||
\(796\) | −0.882721 | + | 0.980361i | −0.0312872 | + | 0.0347480i | ||||
\(797\) | −24.9813 | + | 18.1500i | −0.884884 | + | 0.642906i | −0.934539 | − | 0.355861i | \(-0.884188\pi\) |
0.0496553 | + | 0.998766i | \(0.484188\pi\) | |||||||
\(798\) | −0.0630758 | − | 0.0286638i | −0.00223286 | − | 0.00101469i | ||||
\(799\) | −15.2547 | − | 46.9493i | −0.539674 | − | 1.66095i | ||||
\(800\) | −3.46670 | + | 0.736870i | −0.122566 | + | 0.0260523i | ||||
\(801\) | −2.79065 | + | 1.24248i | −0.0986026 | + | 0.0439007i | ||||
\(802\) | −15.4615 | + | 26.7800i | −0.545963 | + | 0.945636i | ||||
\(803\) | −8.29646 | − | 4.12173i | −0.292776 | − | 0.145453i | ||||
\(804\) | −3.28116 | −0.115717 | ||||||||
\(805\) | −15.7057 | + | 6.84902i | −0.553552 | + | 0.241396i | ||||
\(806\) | 3.49590 | − | 10.7593i | 0.123138 | − | 0.378979i | ||||
\(807\) | −21.0853 | + | 23.4176i | −0.742237 | + | 0.824338i | ||||
\(808\) | 0.135913 | + | 1.29313i | 0.00478140 | + | 0.0454920i | ||||
\(809\) | 3.42010 | + | 32.5401i | 0.120244 | + | 1.14405i | 0.873671 | + | 0.486516i | \(0.161733\pi\) |
−0.753427 | + | 0.657531i | \(0.771601\pi\) | |||||||
\(810\) | −0.807365 | + | 0.896669i | −0.0283679 | + | 0.0315057i | ||||
\(811\) | −7.47886 | + | 23.0175i | −0.262618 | + | 0.808255i | 0.729614 | + | 0.683859i | \(0.239700\pi\) |
−0.992233 | + | 0.124397i | \(0.960300\pi\) | |||||||
\(812\) | −7.20802 | + | 3.14331i | −0.252952 | + | 0.110309i | ||||
\(813\) | −12.8226 | −0.449707 | ||||||||
\(814\) | 9.94452 | + | 19.0371i | 0.348555 | + | 0.667249i | ||||
\(815\) | 4.83696 | − | 8.37787i | 0.169431 | − | 0.293464i | ||||
\(816\) | −3.96091 | + | 1.76351i | −0.138660 | + | 0.0617352i | ||||
\(817\) | −0.0259226 | + | 0.00551001i | −0.000906916 | + | 0.000192771i | ||||
\(818\) | 9.74518 | + | 29.9926i | 0.340732 | + | 1.04867i | ||||
\(819\) | −10.1318 | − | 4.60426i | −0.354035 | − | 0.160886i | ||||
\(820\) | −2.50454 | + | 1.81965i | −0.0874623 | + | 0.0635451i | ||||
\(821\) | −2.43768 | + | 2.70732i | −0.0850756 | + | 0.0944860i | −0.784179 | − | 0.620534i | \(-0.786916\pi\) |
0.699104 | + | 0.715020i | \(0.253583\pi\) | |||||||
\(822\) | −5.33952 | − | 5.93014i | −0.186237 | − | 0.206837i | ||||
\(823\) | −3.12005 | + | 1.38914i | −0.108758 | + | 0.0484223i | −0.460395 | − | 0.887714i | \(-0.652292\pi\) |
0.351636 | + | 0.936137i | \(0.385625\pi\) | |||||||
\(824\) | 7.49887 | + | 12.9884i | 0.261236 | + | 0.452473i | ||||
\(825\) | −4.10088 | + | 11.0161i | −0.142774 | + | 0.383530i | ||||
\(826\) | 5.67346 | + | 0.0434388i | 0.197405 | + | 0.00151143i | ||||
\(827\) | −23.5604 | − | 17.1177i | −0.819277 | − | 0.595240i | 0.0972283 | − | 0.995262i | \(-0.469002\pi\) |
−0.916505 | + | 0.400023i | \(0.869002\pi\) | |||||||
\(828\) | 5.24998 | − | 1.11592i | 0.182450 | − | 0.0387808i | ||||
\(829\) | 26.6380 | + | 5.66207i | 0.925174 | + | 0.196652i | 0.645779 | − | 0.763524i | \(-0.276533\pi\) |
0.279395 | + | 0.960176i | \(0.409866\pi\) | |||||||
\(830\) | 0.300027 | + | 2.85456i | 0.0104141 | + | 0.0990834i | ||||
\(831\) | −3.76791 | − | 1.67758i | −0.130707 | − | 0.0581946i | ||||
\(832\) | −1.29983 | − | 4.00047i | −0.0450636 | − | 0.138692i | ||||
\(833\) | 19.9606 | + | 22.8630i | 0.691592 | + | 0.792155i | ||||
\(834\) | 7.02076 | + | 5.10088i | 0.243109 | + | 0.176629i | ||||
\(835\) | −10.3150 | − | 17.8661i | −0.356966 | − | 0.618283i | ||||
\(836\) | −0.0841156 | − | 0.0216261i | −0.00290920 | − | 0.000747955i | ||||
\(837\) | 1.34475 | − | 2.32917i | 0.0464813 | − | 0.0805080i | ||||
\(838\) | −2.20650 | + | 20.9934i | −0.0762222 | + | 0.725206i | ||||
\(839\) | −2.96969 | + | 9.13976i | −0.102525 | + | 0.315539i | −0.989142 | − | 0.146966i | \(-0.953049\pi\) |
0.886617 | + | 0.462505i | \(0.153049\pi\) | |||||||
\(840\) | 0.963210 | + | 3.04355i | 0.0332339 | + | 0.105012i | ||||
\(841\) | 16.3149 | − | 11.8534i | 0.562582 | − | 0.408740i | ||||
\(842\) | 8.19295 | + | 3.64774i | 0.282348 | + | 0.125709i | ||||
\(843\) | 11.6130 | + | 2.46843i | 0.399974 | + | 0.0850171i | ||||
\(844\) | −0.680726 | − | 0.756023i | −0.0234316 | − | 0.0260234i | ||||
\(845\) | −0.591940 | + | 5.63193i | −0.0203633 | + | 0.193744i | ||||
\(846\) | 11.3857 | 0.391447 | ||||||||
\(847\) | −5.69052 | + | 28.5415i | −0.195529 | + | 0.980698i | ||||
\(848\) | 11.8116 | 0.405611 | ||||||||
\(849\) | 0.108817 | − | 1.03533i | 0.00373460 | − | 0.0355324i | ||||
\(850\) | 10.2822 | + | 11.4196i | 0.352678 | + | 0.391688i | ||||
\(851\) | −33.9981 | − | 7.22652i | −1.16544 | − | 0.247722i | ||||
\(852\) | −8.37937 | − | 3.73074i | −0.287073 | − | 0.127813i | ||||
\(853\) | −22.4392 | + | 16.3030i | −0.768304 | + | 0.558206i | −0.901446 | − | 0.432891i | \(-0.857493\pi\) |
0.133142 | + | 0.991097i | \(0.457493\pi\) | |||||||
\(854\) | −17.5739 | − | 3.87630i | −0.601365 | − | 0.132644i | ||||
\(855\) | −0.00976383 | + | 0.0300500i | −0.000333916 | + | 0.00102769i | ||||
\(856\) | 0.482183 | − | 4.58766i | 0.0164807 | − | 0.156803i | ||||
\(857\) | 1.90716 | − | 3.30330i | 0.0651473 | − | 0.112838i | −0.831612 | − | 0.555357i | \(-0.812582\pi\) |
0.896759 | + | 0.442519i | \(0.145915\pi\) | |||||||
\(858\) | −13.5115 | − | 3.47380i | −0.461274 | − | 0.118593i | ||||
\(859\) | −20.6868 | − | 35.8305i | −0.705823 | − | 1.22252i | −0.966394 | − | 0.257066i | \(-0.917244\pi\) |
0.260571 | − | 0.965455i | \(-0.416089\pi\) | |||||||
\(860\) | 0.987895 | + | 0.717748i | 0.0336870 | + | 0.0244750i | ||||
\(861\) | −4.50349 | − | 5.07931i | −0.153479 | − | 0.173102i | ||||
\(862\) | 7.52094 | + | 23.1471i | 0.256164 | + | 0.788393i | ||||
\(863\) | −1.31085 | − | 0.583628i | −0.0446218 | − | 0.0198669i | 0.384304 | − | 0.923206i | \(-0.374441\pi\) |
−0.428926 | + | 0.903340i | \(0.641108\pi\) | |||||||
\(864\) | −0.104528 | − | 0.994522i | −0.00355613 | − | 0.0338343i | ||||
\(865\) | 6.12381 | + | 1.30166i | 0.208216 | + | 0.0442576i | ||||
\(866\) | −9.15905 | + | 1.94682i | −0.311237 | + | 0.0661555i | ||||
\(867\) | 1.45523 | + | 1.05729i | 0.0494222 | + | 0.0359073i | ||||
\(868\) | −3.51059 | − | 6.18947i | −0.119157 | − | 0.210084i | ||||
\(869\) | −14.5388 | + | 39.0550i | −0.493193 | + | 1.32485i | ||||
\(870\) | 1.79308 | + | 3.10571i | 0.0607912 | + | 0.105293i | ||||
\(871\) | −12.6085 | + | 5.61365i | −0.427221 | + | 0.190211i | ||||
\(872\) | −11.2342 | − | 12.4768i | −0.380438 | − | 0.422519i | ||||
\(873\) | 12.6074 | − | 14.0020i | 0.426697 | − | 0.473896i | ||||
\(874\) | 0.113708 | − | 0.0826136i | 0.00384622 | − | 0.00279445i | ||||
\(875\) | 22.1886 | − | 15.8629i | 0.750113 | − | 0.536263i | ||||
\(876\) | −0.863138 | − | 2.65647i | −0.0291627 | − | 0.0897536i | ||||
\(877\) | −39.8645 | + | 8.47346i | −1.34613 | + | 0.286129i | −0.823928 | − | 0.566694i | \(-0.808222\pi\) |
−0.522201 | + | 0.852823i | \(0.674889\pi\) | |||||||
\(878\) | −36.6087 | + | 16.2992i | −1.23548 | + | 0.550072i | ||||
\(879\) | −0.572412 | + | 0.991447i | −0.0193070 | + | 0.0334407i | ||||
\(880\) | 1.85287 | + | 3.54700i | 0.0624604 | + | 0.119570i | ||||
\(881\) | 0.869111 | 0.0292811 | 0.0146406 | − | 0.999893i | \(-0.495340\pi\) | ||||
0.0146406 | + | 0.999893i | \(0.495340\pi\) | |||||||
\(882\) | −6.43766 | + | 2.74890i | −0.216767 | + | 0.0925604i | ||||
\(883\) | −8.53212 | + | 26.2592i | −0.287129 | + | 0.883691i | 0.698624 | + | 0.715489i | \(0.253796\pi\) |
−0.985753 | + | 0.168202i | \(0.946204\pi\) | |||||||
\(884\) | −12.2034 | + | 13.5532i | −0.410445 | + | 0.455845i | ||||
\(885\) | −0.270461 | − | 2.57327i | −0.00909146 | − | 0.0864995i | ||||
\(886\) | −3.16661 | − | 30.1283i | −0.106384 | − | 1.01218i | ||||
\(887\) | 27.8363 | − | 30.9153i | 0.934651 | − | 1.03803i | −0.0645441 | − | 0.997915i | \(-0.520559\pi\) |
0.999195 | − | 0.0401200i | \(-0.0127740\pi\) | |||||||
\(888\) | −2.00115 | + | 6.15890i | −0.0671541 | + | 0.206679i | ||||
\(889\) | −28.4004 | − | 20.9682i | −0.952517 | − | 0.703249i | ||||
\(890\) | 3.68581 | 0.123549 | ||||||||
\(891\) | −2.97026 | − | 1.47565i | −0.0995076 | − | 0.0494360i | ||||
\(892\) | 4.64436 | − | 8.04427i | 0.155505 | − | 0.269342i | ||||
\(893\) | 0.272375 | − | 0.121269i | 0.00911468 | − | 0.00405812i | ||||
\(894\) | 20.9533 | − | 4.45377i | 0.700785 | − | 0.148956i | ||||
\(895\) | −8.66173 | − | 26.6581i | −0.289530 | − | 0.891081i | ||||
\(896\) | −2.40870 | − | 1.09460i | −0.0804692 | − | 0.0365679i | ||||
\(897\) | 18.2649 | − | 13.2702i | 0.609846 | − | 0.443079i | ||||
\(898\) | 26.9490 | − | 29.9299i | 0.899300 | − | 0.998773i | ||||
\(899\) | −5.34877 | − | 5.94041i | −0.178391 | − | 0.198124i | ||||
\(900\) | −3.23774 | + | 1.44153i | −0.107925 | + | 0.0480511i | ||||
\(901\) | −25.6060 | − | 44.3509i | −0.853060 | − | 1.47754i | ||||
\(902\) | −6.66719 | − | 5.28785i | −0.221993 | − | 0.176066i | ||||
\(903\) | −1.35651 | + | 2.30854i | −0.0451418 | + | 0.0768234i | ||||
\(904\) | 9.13163 | + | 6.63452i | 0.303713 | + | 0.220661i | ||||
\(905\) | 20.5146 | − | 4.36051i | 0.681927 | − | 0.144948i | ||||
\(906\) | −16.8947 | − | 3.59108i | −0.561289 | − | 0.119306i | ||||
\(907\) | 2.55643 | + | 24.3228i | 0.0848848 | + | 0.807624i | 0.951293 | + | 0.308288i | \(0.0997561\pi\) |
−0.866408 | + | 0.499336i | \(0.833577\pi\) | |||||||
\(908\) | 7.32225 | + | 3.26008i | 0.242997 | + | 0.108189i | ||||
\(909\) | 0.401799 | + | 1.23661i | 0.0133268 | + | 0.0410158i | ||||
\(910\) | 8.90846 | + | 10.0475i | 0.295312 | + | 0.333071i | ||||
\(911\) | −19.5111 | − | 14.1757i | −0.646432 | − | 0.469661i | 0.215622 | − | 0.976477i | \(-0.430822\pi\) |
−0.862054 | + | 0.506816i | \(0.830822\pi\) | |||||||
\(912\) | −0.0130933 | − | 0.0226783i | −0.000433563 | − | 0.000750952i | ||||
\(913\) | −7.33664 | + | 2.90204i | −0.242807 | + | 0.0960437i | ||||
\(914\) | 12.5265 | − | 21.6966i | 0.414341 | − | 0.717659i | ||||
\(915\) | −0.857882 | + | 8.16220i | −0.0283607 | + | 0.269834i | ||||
\(916\) | −1.07692 | + | 3.31441i | −0.0355823 | + | 0.109511i | ||||
\(917\) | −1.57593 | + | 1.72352i | −0.0520417 | + | 0.0569158i | ||||
\(918\) | −3.50770 | + | 2.54849i | −0.115771 | + | 0.0841128i | ||||
\(919\) | 24.0012 | + | 10.6860i | 0.791727 | + | 0.352500i | 0.762430 | − | 0.647071i | \(-0.224006\pi\) |
0.0292976 | + | 0.999571i | \(0.490673\pi\) | |||||||
\(920\) | −6.33456 | − | 1.34645i | −0.208844 | − | 0.0443912i | ||||
\(921\) | 11.7985 | + | 13.1035i | 0.388773 | + | 0.431776i | ||||
\(922\) | −2.46481 | + | 23.4511i | −0.0811743 | + | 0.772322i | ||||
\(923\) | −38.5822 | −1.26995 | ||||||||
\(924\) | −7.34737 | + | 4.79752i | −0.241711 | + | 0.157827i | ||||
\(925\) | 22.9514 | 0.754636 | ||||||||
\(926\) | 3.67709 | − | 34.9852i | 0.120837 | − | 1.14968i | ||||
\(927\) | 10.0355 | + | 11.1455i | 0.329607 | + | 0.366066i | ||||
\(928\) | −2.90721 | − | 0.617946i | −0.0954338 | − | 0.0202851i | ||||
\(929\) | −24.2426 | − | 10.7935i | −0.795374 | − | 0.354123i | −0.0315123 | − | 0.999503i | \(-0.510032\pi\) |
−0.763862 | + | 0.645380i | \(0.776699\pi\) | |||||||
\(930\) | −2.62535 | + | 1.90743i | −0.0860887 | + | 0.0625471i | ||||
\(931\) | −0.124727 | + | 0.134329i | −0.00408777 | + | 0.00440245i | ||||
\(932\) | 1.35084 | − | 4.15747i | 0.0442484 | − | 0.136182i | ||||
\(933\) | 2.56652 | − | 24.4188i | 0.0840242 | − | 0.799437i | ||||
\(934\) | 11.2847 | − | 19.5457i | 0.369247 | − | 0.639554i | ||||
\(935\) | 9.30175 | − | 14.6468i | 0.304200 | − | 0.479001i | ||||
\(936\) | −2.10317 | − | 3.64280i | −0.0687444 | − | 0.119069i | ||||
\(937\) | 33.2472 | + | 24.1555i | 1.08614 | + | 0.789127i | 0.978743 | − | 0.205089i | \(-0.0657485\pi\) |
0.107397 | + | 0.994216i | \(0.465748\pi\) | |||||||
\(938\) | −2.74575 | + | 8.23546i | −0.0896518 | + | 0.268897i | ||||
\(939\) | −9.61456 | − | 29.5906i | −0.313759 | − | 0.965652i | ||||
\(940\) | −12.5501 | − | 5.58766i | −0.409339 | − | 0.182249i | ||||
\(941\) | −2.80237 | − | 26.6628i | −0.0913546 | − | 0.869181i | −0.940219 | − | 0.340570i | \(-0.889380\pi\) |
0.848864 | − | 0.528611i | \(-0.177287\pi\) | |||||||
\(942\) | 17.6663 | + | 3.75508i | 0.575598 | + | 0.122347i | ||||
\(943\) | 13.4700 | − | 2.86315i | 0.438645 | − | 0.0932369i | ||||
\(944\) | 1.73488 | + | 1.26046i | 0.0564656 | + | 0.0410246i | ||||
\(945\) | 1.57495 | + | 2.77678i | 0.0512332 | + | 0.0903286i | ||||
\(946\) | −1.17101 | + | 3.14564i | −0.0380727 | + | 0.102274i | ||||
\(947\) | −4.07374 | − | 7.05593i | −0.132379 | − | 0.229287i | 0.792214 | − | 0.610243i | \(-0.208928\pi\) |
−0.924593 | + | 0.380956i | \(0.875595\pi\) | |||||||
\(948\) | −11.4787 | + | 5.11064i | −0.372810 | + | 0.165986i | ||||
\(949\) | −7.86165 | − | 8.73125i | −0.255200 | − | 0.283428i | ||||
\(950\) | −0.0621015 | + | 0.0689707i | −0.00201484 | + | 0.00223770i | ||||
\(951\) | −25.2623 | + | 18.3541i | −0.819186 | + | 0.595173i | ||||
\(952\) | 1.11170 | + | 11.4173i | 0.0360304 | + | 0.370038i | ||||
\(953\) | −14.8638 | − | 45.7460i | −0.481484 | − | 1.48186i | −0.837009 | − | 0.547190i | \(-0.815698\pi\) |
0.355524 | − | 0.934667i | \(-0.384302\pi\) | |||||||
\(954\) | 11.5534 | − | 2.45576i | 0.374057 | − | 0.0795082i | ||||
\(955\) | −14.1784 | + | 6.31261i | −0.458801 | + | 0.204271i | ||||
\(956\) | 3.56706 | − | 6.17833i | 0.115367 | − | 0.199822i | ||||
\(957\) | −6.89922 | + | 7.04071i | −0.223020 | + | 0.227594i | ||||
\(958\) | −26.5308 | −0.857170 | ||||||||
\(959\) | −19.3525 | + | 8.43933i | −0.624923 | + | 0.272520i | ||||
\(960\) | −0.372856 | + | 1.14753i | −0.0120339 | + | 0.0370365i | ||||
\(961\) | −15.9030 | + | 17.6620i | −0.512999 | + | 0.569743i | ||||
\(962\) | 2.84732 | + | 27.0905i | 0.0918014 | + | 0.873432i | ||||
\(963\) | −0.482183 | − | 4.58766i | −0.0155381 | − | 0.147835i | ||||
\(964\) | 13.0392 | − | 14.4815i | 0.419964 | − | 0.466417i | ||||
\(965\) | 5.66742 | − | 17.4425i | 0.182441 | − | 0.561495i | ||||
\(966\) | 1.59244 | − | 14.1109i | 0.0512358 | − | 0.454011i | ||||
\(967\) | 9.55633 | 0.307311 | 0.153655 | − | 0.988124i | \(-0.450895\pi\) | ||||
0.153655 | + | 0.988124i | \(0.450895\pi\) | |||||||
\(968\) | −8.02351 | + | 7.52485i | −0.257885 | + | 0.241858i | ||||
\(969\) | −0.0567693 | + | 0.0983274i | −0.00182369 | + | 0.00315873i | ||||
\(970\) | −20.7685 | + | 9.24673i | −0.666837 | + | 0.296895i | ||||
\(971\) | 36.1544 | − | 7.68485i | 1.16025 | − | 0.246619i | 0.412727 | − | 0.910855i | \(-0.364576\pi\) |
0.747523 | + | 0.664236i | \(0.231243\pi\) | |||||||
\(972\) | −0.309017 | − | 0.951057i | −0.00991172 | − | 0.0305052i | ||||
\(973\) | 18.6780 | − | 13.3531i | 0.598788 | − | 0.428079i | ||||
\(974\) | −24.0209 | + | 17.4522i | −0.769679 | + | 0.559204i | ||||
\(975\) | −9.97534 | + | 11.0787i | −0.319467 | + | 0.354804i | ||||
\(976\) | −4.55140 | − | 5.05484i | −0.145687 | − | 0.161802i | ||||
\(977\) | −15.1200 | + | 6.73185i | −0.483731 | + | 0.215371i | −0.634088 | − | 0.773261i | \(-0.718624\pi\) |
0.150357 | + | 0.988632i | \(0.451958\pi\) | |||||||
\(978\) | 4.00880 | + | 6.94344i | 0.128187 | + | 0.222027i | ||||
\(979\) | 2.72140 | + | 9.75909i | 0.0869762 | + | 0.311902i | ||||
\(980\) | 8.44512 | + | 0.129327i | 0.269770 | + | 0.00413121i | ||||
\(981\) | −13.5828 | − | 9.86846i | −0.433665 | − | 0.315076i | ||||
\(982\) | −2.83429 | + | 0.602446i | −0.0904457 | + | 0.0192248i | ||||
\(983\) | −23.0949 | − | 4.90897i | −0.736612 | − | 0.156572i | −0.175696 | − | 0.984444i | \(-0.556218\pi\) |
−0.560916 | + | 0.827873i | \(0.689551\pi\) | |||||||
\(984\) | −0.268192 | − | 2.55168i | −0.00854965 | − | 0.0813445i | ||||
\(985\) | 9.40905 | + | 4.18918i | 0.299797 | + | 0.133478i | ||||
\(986\) | 3.98216 | + | 12.2558i | 0.126818 | + | 0.390305i | ||||
\(987\) | 9.52778 | − | 28.5771i | 0.303273 | − | 0.909621i | ||||
\(988\) | −0.0891132 | − | 0.0647445i | −0.00283507 | − | 0.00205980i | ||||
\(989\) | −2.71593 | − | 4.70412i | −0.0863614 | − | 0.149582i | ||||
\(990\) | 2.54985 | + | 3.08426i | 0.0810395 | + | 0.0980242i | ||||
\(991\) | 13.5326 | − | 23.4392i | 0.429878 | − | 0.744570i | −0.566984 | − | 0.823729i | \(-0.691890\pi\) |
0.996862 | + | 0.0791584i | \(0.0252233\pi\) | |||||||
\(992\) | 0.281129 | − | 2.67476i | 0.00892586 | − | 0.0849239i | ||||
\(993\) | 8.24688 | − | 25.3813i | 0.261707 | − | 0.805451i | ||||
\(994\) | −16.3759 | + | 17.9096i | −0.519413 | + | 0.568059i | ||||
\(995\) | 1.28774 | − | 0.935600i | 0.0408242 | − | 0.0296605i | ||||
\(996\) | −2.17319 | − | 0.967565i | −0.0688600 | − | 0.0306585i | ||||
\(997\) | 8.96336 | + | 1.90522i | 0.283873 | + | 0.0603390i | 0.347647 | − | 0.937625i | \(-0.386981\pi\) |
−0.0637749 | + | 0.997964i | \(0.520314\pi\) | |||||||
\(998\) | 13.7194 | + | 15.2369i | 0.434279 | + | 0.482315i | ||||
\(999\) | −0.676911 | + | 6.44038i | −0.0214165 | + | 0.203765i |
(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 | 462.2.y.a.235.2 | yes | 24 | |
7.2 | even | 3 | inner | 462.2.y.a.37.2 | yes | 24 | |
11.3 | even | 5 | inner | 462.2.y.a.25.2 | ✓ | 24 | |
77.58 | even | 15 | inner | 462.2.y.a.289.2 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.y.a.25.2 | ✓ | 24 | 11.3 | even | 5 | inner | |
462.2.y.a.37.2 | yes | 24 | 7.2 | even | 3 | inner | |
462.2.y.a.235.2 | yes | 24 | 1.1 | even | 1 | trivial | |
462.2.y.a.289.2 | yes | 24 | 77.58 | even | 15 | inner |