Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(61,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.u (of order \(9\), degree \(6\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 271.1 | ||
Root | \(-0.173648 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.271 |
Dual form | 570.2.u.b.61.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | 0.173648 | − | 0.984808i | 0.100256 | − | 0.568579i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −0.766044 | − | 0.642788i | −0.342585 | − | 0.287463i | ||||
\(6\) | −0.173648 | − | 0.984808i | −0.0708916 | − | 0.402046i | ||||
\(7\) | −2.11334 | − | 3.66041i | −0.798768 | − | 1.38351i | −0.920419 | − | 0.390933i | \(-0.872152\pi\) |
0.121651 | − | 0.992573i | \(-0.461181\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −0.939693 | − | 0.342020i | −0.313231 | − | 0.114007i | ||||
\(10\) | −0.939693 | − | 0.342020i | −0.297157 | − | 0.108156i | ||||
\(11\) | 1.06031 | − | 1.83651i | 0.319695 | − | 0.553727i | −0.660730 | − | 0.750624i | \(-0.729753\pi\) |
0.980424 | + | 0.196897i | \(0.0630863\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | 0.868241 | + | 4.92404i | 0.240807 | + | 1.36568i | 0.830033 | + | 0.557714i | \(0.188322\pi\) |
−0.589226 | + | 0.807968i | \(0.700567\pi\) | |||||||
\(14\) | −3.23783 | − | 2.71686i | −0.865345 | − | 0.726111i | ||||
\(15\) | −0.766044 | + | 0.642788i | −0.197792 | + | 0.165967i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −3.10607 | + | 1.13052i | −0.753332 | + | 0.274190i | −0.690007 | − | 0.723803i | \(-0.742393\pi\) |
−0.0633248 | + | 0.997993i | \(0.520170\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | −3.93969 | − | 1.86516i | −0.903827 | − | 0.427897i | ||||
\(20\) | −1.00000 | −0.223607 | ||||||||
\(21\) | −3.97178 | + | 1.44561i | −0.866714 | + | 0.315458i | ||||
\(22\) | 0.368241 | − | 2.08840i | 0.0785092 | − | 0.445248i | ||||
\(23\) | 3.08125 | − | 2.58548i | 0.642485 | − | 0.539109i | −0.262295 | − | 0.964988i | \(-0.584479\pi\) |
0.904780 | + | 0.425878i | \(0.140035\pi\) | |||||||
\(24\) | −0.766044 | − | 0.642788i | −0.156368 | − | 0.131208i | ||||
\(25\) | 0.173648 | + | 0.984808i | 0.0347296 | + | 0.196962i | ||||
\(26\) | 2.50000 | + | 4.33013i | 0.490290 | + | 0.849208i | ||||
\(27\) | −0.500000 | + | 0.866025i | −0.0962250 | + | 0.166667i | ||||
\(28\) | −3.97178 | − | 1.44561i | −0.750596 | − | 0.273195i | ||||
\(29\) | 2.53209 | + | 0.921605i | 0.470197 | + | 0.171138i | 0.566242 | − | 0.824239i | \(-0.308397\pi\) |
−0.0960445 | + | 0.995377i | \(0.530619\pi\) | |||||||
\(30\) | −0.500000 | + | 0.866025i | −0.0912871 | + | 0.158114i | ||||
\(31\) | −5.29086 | − | 9.16404i | −0.950266 | − | 1.64591i | −0.744847 | − | 0.667236i | \(-0.767477\pi\) |
−0.205420 | − | 0.978674i | \(-0.565856\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | −1.62449 | − | 1.36310i | −0.282787 | − | 0.237286i | ||||
\(34\) | −2.53209 | + | 2.12467i | −0.434250 | + | 0.364379i | ||||
\(35\) | −0.733956 | + | 4.16247i | −0.124061 | + | 0.703586i | ||||
\(36\) | −0.939693 | + | 0.342020i | −0.156615 | + | 0.0570034i | ||||
\(37\) | 10.4757 | 1.72219 | 0.861093 | − | 0.508447i | \(-0.169780\pi\) | ||||
0.861093 | + | 0.508447i | \(0.169780\pi\) | |||||||
\(38\) | −4.34002 | − | 0.405223i | −0.704045 | − | 0.0657358i | ||||
\(39\) | 5.00000 | 0.800641 | ||||||||
\(40\) | −0.939693 | + | 0.342020i | −0.148578 | + | 0.0540781i | ||||
\(41\) | 1.69594 | − | 9.61814i | 0.264861 | − | 1.50210i | −0.504570 | − | 0.863371i | \(-0.668349\pi\) |
0.769431 | − | 0.638730i | \(-0.220540\pi\) | |||||||
\(42\) | −3.23783 | + | 2.71686i | −0.499607 | + | 0.419220i | ||||
\(43\) | 4.94356 | + | 4.14814i | 0.753886 | + | 0.632586i | 0.936528 | − | 0.350594i | \(-0.114020\pi\) |
−0.182641 | + | 0.983180i | \(0.558465\pi\) | |||||||
\(44\) | −0.368241 | − | 2.08840i | −0.0555144 | − | 0.314838i | ||||
\(45\) | 0.500000 | + | 0.866025i | 0.0745356 | + | 0.129099i | ||||
\(46\) | 2.01114 | − | 3.48340i | 0.296527 | − | 0.513600i | ||||
\(47\) | 8.35117 | + | 3.03958i | 1.21814 | + | 0.443368i | 0.869521 | − | 0.493896i | \(-0.164428\pi\) |
0.348622 | + | 0.937264i | \(0.386650\pi\) | |||||||
\(48\) | −0.939693 | − | 0.342020i | −0.135633 | − | 0.0493664i | ||||
\(49\) | −5.43242 | + | 9.40923i | −0.776060 | + | 1.34418i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | 0.573978 | + | 3.25519i | 0.0803730 | + | 0.455818i | ||||
\(52\) | 3.83022 | + | 3.21394i | 0.531156 | + | 0.445693i | ||||
\(53\) | 6.05303 | − | 5.07910i | 0.831448 | − | 0.697668i | −0.124175 | − | 0.992260i | \(-0.539628\pi\) |
0.955623 | + | 0.294593i | \(0.0951839\pi\) | |||||||
\(54\) | −0.173648 | + | 0.984808i | −0.0236305 | + | 0.134015i | ||||
\(55\) | −1.99273 | + | 0.725293i | −0.268699 | + | 0.0977985i | ||||
\(56\) | −4.22668 | −0.564814 | ||||||||
\(57\) | −2.52094 | + | 3.55596i | −0.333907 | + | 0.470998i | ||||
\(58\) | 2.69459 | 0.353817 | ||||||||
\(59\) | 8.92514 | − | 3.24849i | 1.16195 | − | 0.422917i | 0.312159 | − | 0.950030i | \(-0.398948\pi\) |
0.849795 | + | 0.527113i | \(0.176725\pi\) | |||||||
\(60\) | −0.173648 | + | 0.984808i | −0.0224179 | + | 0.127138i | ||||
\(61\) | −9.88713 | + | 8.29628i | −1.26592 | + | 1.06223i | −0.270891 | + | 0.962610i | \(0.587318\pi\) |
−0.995026 | + | 0.0996203i | \(0.968237\pi\) | |||||||
\(62\) | −8.10607 | − | 6.80180i | −1.02947 | − | 0.863829i | ||||
\(63\) | 0.733956 | + | 4.16247i | 0.0924697 | + | 0.524422i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 2.50000 | − | 4.33013i | 0.310087 | − | 0.537086i | ||||
\(66\) | −1.99273 | − | 0.725293i | −0.245288 | − | 0.0892774i | ||||
\(67\) | 2.57398 | + | 0.936851i | 0.314461 | + | 0.114455i | 0.494429 | − | 0.869218i | \(-0.335377\pi\) |
−0.179968 | + | 0.983673i | \(0.557599\pi\) | |||||||
\(68\) | −1.65270 | + | 2.86257i | −0.200420 | + | 0.347137i | ||||
\(69\) | −2.01114 | − | 3.48340i | −0.242113 | − | 0.419353i | ||||
\(70\) | 0.733956 | + | 4.16247i | 0.0877245 | + | 0.497510i | ||||
\(71\) | −7.04189 | − | 5.90885i | −0.835718 | − | 0.701251i | 0.120878 | − | 0.992667i | \(-0.461429\pi\) |
−0.956596 | + | 0.291416i | \(0.905874\pi\) | |||||||
\(72\) | −0.766044 | + | 0.642788i | −0.0902792 | + | 0.0757532i | ||||
\(73\) | 0.0983261 | − | 0.557635i | 0.0115082 | − | 0.0652662i | −0.978513 | − | 0.206186i | \(-0.933895\pi\) |
0.990021 | + | 0.140920i | \(0.0450059\pi\) | |||||||
\(74\) | 9.84389 | − | 3.58288i | 1.14433 | − | 0.416502i | ||||
\(75\) | 1.00000 | 0.115470 | ||||||||
\(76\) | −4.21688 | + | 1.10359i | −0.483709 | + | 0.126590i | ||||
\(77\) | −8.96316 | −1.02145 | ||||||||
\(78\) | 4.69846 | − | 1.71010i | 0.531996 | − | 0.193631i | ||||
\(79\) | −2.24123 | + | 12.7106i | −0.252158 | + | 1.43006i | 0.551106 | + | 0.834436i | \(0.314206\pi\) |
−0.803264 | + | 0.595624i | \(0.796905\pi\) | |||||||
\(80\) | −0.766044 | + | 0.642788i | −0.0856464 | + | 0.0718658i | ||||
\(81\) | 0.766044 | + | 0.642788i | 0.0851160 | + | 0.0714208i | ||||
\(82\) | −1.69594 | − | 9.61814i | −0.187285 | − | 1.06215i | ||||
\(83\) | 3.41147 | + | 5.90885i | 0.374458 | + | 0.648580i | 0.990246 | − | 0.139332i | \(-0.0444955\pi\) |
−0.615788 | + | 0.787912i | \(0.711162\pi\) | |||||||
\(84\) | −2.11334 | + | 3.66041i | −0.230584 | + | 0.399384i | ||||
\(85\) | 3.10607 | + | 1.13052i | 0.336900 | + | 0.122622i | ||||
\(86\) | 6.06418 | + | 2.20718i | 0.653917 | + | 0.238006i | ||||
\(87\) | 1.34730 | − | 2.33359i | 0.144445 | − | 0.250187i | ||||
\(88\) | −1.06031 | − | 1.83651i | −0.113029 | − | 0.195772i | ||||
\(89\) | 1.42215 | + | 8.06542i | 0.150748 | + | 0.854933i | 0.962571 | + | 0.271030i | \(0.0873642\pi\) |
−0.811823 | + | 0.583903i | \(0.801525\pi\) | |||||||
\(90\) | 0.766044 | + | 0.642788i | 0.0807482 | + | 0.0677558i | ||||
\(91\) | 16.1891 | − | 13.5843i | 1.69708 | − | 1.42402i | ||||
\(92\) | 0.698463 | − | 3.96118i | 0.0728198 | − | 0.412982i | ||||
\(93\) | −9.94356 | + | 3.61916i | −1.03110 | + | 0.375290i | ||||
\(94\) | 8.88713 | 0.916637 | ||||||||
\(95\) | 1.81908 | + | 3.96118i | 0.186633 | + | 0.406409i | ||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | 7.83750 | − | 2.85262i | 0.795777 | − | 0.289639i | 0.0880417 | − | 0.996117i | \(-0.471939\pi\) |
0.707735 | + | 0.706478i | \(0.249717\pi\) | |||||||
\(98\) | −1.88666 | + | 10.6998i | −0.190581 | + | 1.08084i | ||||
\(99\) | −1.62449 | + | 1.36310i | −0.163267 | + | 0.136997i | ||||
\(100\) | 0.766044 | + | 0.642788i | 0.0766044 | + | 0.0642788i | ||||
\(101\) | 0.0368366 | + | 0.208911i | 0.00366538 | + | 0.0207874i | 0.986586 | − | 0.163245i | \(-0.0521960\pi\) |
−0.982920 | + | 0.184032i | \(0.941085\pi\) | |||||||
\(102\) | 1.65270 | + | 2.86257i | 0.163642 | + | 0.283436i | ||||
\(103\) | −4.80793 | + | 8.32759i | −0.473740 | + | 0.820541i | −0.999548 | − | 0.0300618i | \(-0.990430\pi\) |
0.525808 | + | 0.850603i | \(0.323763\pi\) | |||||||
\(104\) | 4.69846 | + | 1.71010i | 0.460722 | + | 0.167689i | ||||
\(105\) | 3.97178 | + | 1.44561i | 0.387606 | + | 0.141077i | ||||
\(106\) | 3.95084 | − | 6.84305i | 0.383739 | − | 0.664656i | ||||
\(107\) | −6.00000 | − | 10.3923i | −0.580042 | − | 1.00466i | −0.995474 | − | 0.0950377i | \(-0.969703\pi\) |
0.415432 | − | 0.909624i | \(-0.363630\pi\) | |||||||
\(108\) | 0.173648 | + | 0.984808i | 0.0167093 | + | 0.0947632i | ||||
\(109\) | −5.04189 | − | 4.23065i | −0.482925 | − | 0.405223i | 0.368557 | − | 0.929605i | \(-0.379852\pi\) |
−0.851483 | + | 0.524382i | \(0.824296\pi\) | |||||||
\(110\) | −1.62449 | + | 1.36310i | −0.154889 | + | 0.129967i | ||||
\(111\) | 1.81908 | − | 10.3165i | 0.172659 | − | 0.979199i | ||||
\(112\) | −3.97178 | + | 1.44561i | −0.375298 | + | 0.136597i | ||||
\(113\) | 2.08378 | 0.196025 | 0.0980127 | − | 0.995185i | \(-0.468751\pi\) | ||||
0.0980127 | + | 0.995185i | \(0.468751\pi\) | |||||||
\(114\) | −1.15270 | + | 4.20372i | −0.107961 | + | 0.393715i | ||||
\(115\) | −4.02229 | −0.375080 | ||||||||
\(116\) | 2.53209 | − | 0.921605i | 0.235099 | − | 0.0855689i | ||||
\(117\) | 0.868241 | − | 4.92404i | 0.0802689 | − | 0.455228i | ||||
\(118\) | 7.27584 | − | 6.10516i | 0.669796 | − | 0.562025i | ||||
\(119\) | 10.7023 | + | 8.98032i | 0.981081 | + | 0.823225i | ||||
\(120\) | 0.173648 | + | 0.984808i | 0.0158518 | + | 0.0899002i | ||||
\(121\) | 3.25150 | + | 5.63176i | 0.295591 | + | 0.511978i | ||||
\(122\) | −6.45336 | + | 11.1776i | −0.584260 | + | 1.01197i | ||||
\(123\) | −9.17752 | − | 3.34034i | −0.827509 | − | 0.301189i | ||||
\(124\) | −9.94356 | − | 3.61916i | −0.892958 | − | 0.325010i | ||||
\(125\) | 0.500000 | − | 0.866025i | 0.0447214 | − | 0.0774597i | ||||
\(126\) | 2.11334 | + | 3.66041i | 0.188271 | + | 0.326096i | ||||
\(127\) | 2.39306 | + | 13.5717i | 0.212349 | + | 1.20429i | 0.885447 | + | 0.464740i | \(0.153852\pi\) |
−0.673098 | + | 0.739553i | \(0.735037\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | 4.94356 | − | 4.14814i | 0.435256 | − | 0.365224i | ||||
\(130\) | 0.868241 | − | 4.92404i | 0.0761498 | − | 0.431867i | ||||
\(131\) | 18.3614 | − | 6.68302i | 1.60425 | − | 0.583898i | 0.623956 | − | 0.781460i | \(-0.285525\pi\) |
0.980290 | + | 0.197562i | \(0.0633024\pi\) | |||||||
\(132\) | −2.12061 | −0.184576 | ||||||||
\(133\) | 1.49866 | + | 18.3626i | 0.129950 | + | 1.59224i | ||||
\(134\) | 2.73917 | 0.236628 | ||||||||
\(135\) | 0.939693 | − | 0.342020i | 0.0808759 | − | 0.0294364i | ||||
\(136\) | −0.573978 | + | 3.25519i | −0.0492182 | + | 0.279130i | ||||
\(137\) | 16.5594 | − | 13.8950i | 1.41477 | − | 1.18713i | 0.460694 | − | 0.887559i | \(-0.347601\pi\) |
0.954074 | − | 0.299572i | \(-0.0968438\pi\) | |||||||
\(138\) | −3.08125 | − | 2.58548i | −0.262294 | − | 0.220090i | ||||
\(139\) | −1.57738 | − | 8.94578i | −0.133792 | − | 0.758771i | −0.975693 | − | 0.219140i | \(-0.929675\pi\) |
0.841902 | − | 0.539631i | \(-0.181436\pi\) | |||||||
\(140\) | 2.11334 | + | 3.66041i | 0.178610 | + | 0.309361i | ||||
\(141\) | 4.44356 | − | 7.69648i | 0.374216 | − | 0.648160i | ||||
\(142\) | −8.63816 | − | 3.14403i | −0.724898 | − | 0.263841i | ||||
\(143\) | 9.96363 | + | 3.62646i | 0.833201 | + | 0.303260i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | −1.34730 | − | 2.33359i | −0.111887 | − | 0.193794i | ||||
\(146\) | −0.0983261 | − | 0.557635i | −0.00813752 | − | 0.0461502i | ||||
\(147\) | 8.32295 | + | 6.98378i | 0.686465 | + | 0.576013i | ||||
\(148\) | 8.02481 | − | 6.73362i | 0.659636 | − | 0.553500i | ||||
\(149\) | −2.80066 | + | 15.8833i | −0.229439 | + | 1.30121i | 0.624576 | + | 0.780964i | \(0.285272\pi\) |
−0.854015 | + | 0.520249i | \(0.825839\pi\) | |||||||
\(150\) | 0.939693 | − | 0.342020i | 0.0767256 | − | 0.0279258i | ||||
\(151\) | −19.7297 | −1.60558 | −0.802789 | − | 0.596263i | \(-0.796652\pi\) | ||||
−0.802789 | + | 0.596263i | \(0.796652\pi\) | |||||||
\(152\) | −3.58512 | + | 2.47929i | −0.290792 | + | 0.201097i | ||||
\(153\) | 3.30541 | 0.267226 | ||||||||
\(154\) | −8.42262 | + | 3.06558i | −0.678714 | + | 0.247032i | ||||
\(155\) | −1.83750 | + | 10.4210i | −0.147591 | + | 0.837032i | ||||
\(156\) | 3.83022 | − | 3.21394i | 0.306663 | − | 0.257321i | ||||
\(157\) | −3.52687 | − | 2.95940i | −0.281475 | − | 0.236186i | 0.491109 | − | 0.871098i | \(-0.336592\pi\) |
−0.772584 | + | 0.634912i | \(0.781036\pi\) | |||||||
\(158\) | 2.24123 | + | 12.7106i | 0.178303 | + | 1.01120i | ||||
\(159\) | −3.95084 | − | 6.84305i | −0.313322 | − | 0.542689i | ||||
\(160\) | −0.500000 | + | 0.866025i | −0.0395285 | + | 0.0684653i | ||||
\(161\) | −15.9757 | − | 5.81466i | −1.25906 | − | 0.458260i | ||||
\(162\) | 0.939693 | + | 0.342020i | 0.0738292 | + | 0.0268716i | ||||
\(163\) | −3.06418 | + | 5.30731i | −0.240005 | + | 0.415701i | −0.960715 | − | 0.277535i | \(-0.910482\pi\) |
0.720710 | + | 0.693236i | \(0.243816\pi\) | |||||||
\(164\) | −4.88326 | − | 8.45805i | −0.381318 | − | 0.660462i | ||||
\(165\) | 0.368241 | + | 2.08840i | 0.0286675 | + | 0.162582i | ||||
\(166\) | 5.22668 | + | 4.38571i | 0.405669 | + | 0.340397i | ||||
\(167\) | 4.87346 | − | 4.08931i | 0.377119 | − | 0.316441i | −0.434451 | − | 0.900695i | \(-0.643058\pi\) |
0.811570 | + | 0.584255i | \(0.198613\pi\) | |||||||
\(168\) | −0.733956 | + | 4.16247i | −0.0566259 | + | 0.321141i | ||||
\(169\) | −11.2763 | + | 4.10424i | −0.867409 | + | 0.315711i | ||||
\(170\) | 3.30541 | 0.253513 | ||||||||
\(171\) | 3.06418 | + | 3.10013i | 0.234324 | + | 0.237073i | ||||
\(172\) | 6.45336 | 0.492064 | ||||||||
\(173\) | −14.2417 | + | 5.18355i | −1.08278 | + | 0.394098i | −0.820940 | − | 0.571014i | \(-0.806550\pi\) |
−0.261836 | + | 0.965112i | \(0.584328\pi\) | |||||||
\(174\) | 0.467911 | − | 2.65366i | 0.0354722 | − | 0.201173i | ||||
\(175\) | 3.23783 | − | 2.71686i | 0.244757 | − | 0.205375i | ||||
\(176\) | −1.62449 | − | 1.36310i | −0.122450 | − | 0.102748i | ||||
\(177\) | −1.64930 | − | 9.35365i | −0.123969 | − | 0.703063i | ||||
\(178\) | 4.09492 | + | 7.09261i | 0.306927 | + | 0.531614i | ||||
\(179\) | 0.969255 | − | 1.67880i | 0.0724455 | − | 0.125479i | −0.827527 | − | 0.561426i | \(-0.810253\pi\) |
0.899973 | + | 0.435947i | \(0.143586\pi\) | |||||||
\(180\) | 0.939693 | + | 0.342020i | 0.0700406 | + | 0.0254927i | ||||
\(181\) | −11.3969 | − | 4.14814i | −0.847127 | − | 0.308329i | −0.118259 | − | 0.992983i | \(-0.537731\pi\) |
−0.728868 | + | 0.684654i | \(0.759953\pi\) | |||||||
\(182\) | 10.5667 | − | 18.3021i | 0.783256 | − | 1.35664i | ||||
\(183\) | 6.45336 | + | 11.1776i | 0.477046 | + | 0.826268i | ||||
\(184\) | −0.698463 | − | 3.96118i | −0.0514914 | − | 0.292022i | ||||
\(185\) | −8.02481 | − | 6.73362i | −0.589996 | − | 0.495066i | ||||
\(186\) | −8.10607 | + | 6.80180i | −0.594366 | + | 0.498732i | ||||
\(187\) | −1.21719 | + | 6.90301i | −0.0890095 | + | 0.504798i | ||||
\(188\) | 8.35117 | − | 3.03958i | 0.609071 | − | 0.221684i | ||||
\(189\) | 4.22668 | 0.307446 | ||||||||
\(190\) | 3.06418 | + | 3.10013i | 0.222299 | + | 0.224907i | ||||
\(191\) | 6.53714 | 0.473011 | 0.236505 | − | 0.971630i | \(-0.423998\pi\) | ||||
0.236505 | + | 0.971630i | \(0.423998\pi\) | |||||||
\(192\) | −0.939693 | + | 0.342020i | −0.0678165 | + | 0.0246832i | ||||
\(193\) | 0.453363 | − | 2.57115i | 0.0326338 | − | 0.185075i | −0.964134 | − | 0.265418i | \(-0.914490\pi\) |
0.996767 | + | 0.0803421i | \(0.0256013\pi\) | |||||||
\(194\) | 6.38919 | − | 5.36116i | 0.458717 | − | 0.384909i | ||||
\(195\) | −3.83022 | − | 3.21394i | −0.274288 | − | 0.230155i | ||||
\(196\) | 1.88666 | + | 10.6998i | 0.134761 | + | 0.764270i | ||||
\(197\) | 0.144086 | + | 0.249563i | 0.0102657 | + | 0.0177807i | 0.871113 | − | 0.491083i | \(-0.163399\pi\) |
−0.860847 | + | 0.508864i | \(0.830066\pi\) | |||||||
\(198\) | −1.06031 | + | 1.83651i | −0.0753528 | + | 0.130515i | ||||
\(199\) | −8.79561 | − | 3.20134i | −0.623504 | − | 0.226937i | 0.0108975 | − | 0.999941i | \(-0.496531\pi\) |
−0.634402 | + | 0.773004i | \(0.718753\pi\) | |||||||
\(200\) | 0.939693 | + | 0.342020i | 0.0664463 | + | 0.0241845i | ||||
\(201\) | 1.36959 | − | 2.37219i | 0.0966031 | − | 0.167321i | ||||
\(202\) | 0.106067 | + | 0.183713i | 0.00746284 | + | 0.0129260i | ||||
\(203\) | −1.97771 | − | 11.2162i | −0.138808 | − | 0.787220i | ||||
\(204\) | 2.53209 | + | 2.12467i | 0.177282 | + | 0.148757i | ||||
\(205\) | −7.48158 | + | 6.27779i | −0.522536 | + | 0.438460i | ||||
\(206\) | −1.66978 | + | 9.46978i | −0.116339 | + | 0.659791i | ||||
\(207\) | −3.77972 | + | 1.37570i | −0.262708 | + | 0.0956180i | ||||
\(208\) | 5.00000 | 0.346688 | ||||||||
\(209\) | −7.60266 | + | 5.25763i | −0.525887 | + | 0.363678i | ||||
\(210\) | 4.22668 | 0.291669 | ||||||||
\(211\) | 23.0646 | − | 8.39484i | 1.58784 | − | 0.577925i | 0.610947 | − | 0.791672i | \(-0.290789\pi\) |
0.976889 | + | 0.213747i | \(0.0685668\pi\) | |||||||
\(212\) | 1.37211 | − | 7.78163i | 0.0942370 | − | 0.534445i | ||||
\(213\) | −7.04189 | + | 5.90885i | −0.482502 | + | 0.404867i | ||||
\(214\) | −9.19253 | − | 7.71345i | −0.628389 | − | 0.527281i | ||||
\(215\) | −1.12061 | − | 6.35532i | −0.0764253 | − | 0.433429i | ||||
\(216\) | 0.500000 | + | 0.866025i | 0.0340207 | + | 0.0589256i | ||||
\(217\) | −22.3628 | + | 38.7335i | −1.51808 | + | 2.62940i | ||||
\(218\) | −6.18479 | − | 2.25108i | −0.418887 | − | 0.152462i | ||||
\(219\) | −0.532089 | − | 0.193665i | −0.0359552 | − | 0.0130866i | ||||
\(220\) | −1.06031 | + | 1.83651i | −0.0714859 | + | 0.123817i | ||||
\(221\) | −8.26352 | − | 14.3128i | −0.555864 | − | 0.962785i | ||||
\(222\) | −1.81908 | − | 10.3165i | −0.122089 | − | 0.692398i | ||||
\(223\) | 6.78699 | + | 5.69496i | 0.454490 | + | 0.381363i | 0.841099 | − | 0.540881i | \(-0.181909\pi\) |
−0.386609 | + | 0.922244i | \(0.626354\pi\) | |||||||
\(224\) | −3.23783 | + | 2.71686i | −0.216336 | + | 0.181528i | ||||
\(225\) | 0.173648 | − | 0.984808i | 0.0115765 | − | 0.0656539i | ||||
\(226\) | 1.95811 | − | 0.712694i | 0.130252 | − | 0.0474077i | ||||
\(227\) | −14.7939 | −0.981902 | −0.490951 | − | 0.871187i | \(-0.663351\pi\) | ||||
−0.490951 | + | 0.871187i | \(0.663351\pi\) | |||||||
\(228\) | 0.354570 | + | 4.34445i | 0.0234820 | + | 0.287718i | ||||
\(229\) | −0.0837781 | −0.00553621 | −0.00276811 | − | 0.999996i | \(-0.500881\pi\) | ||||
−0.00276811 | + | 0.999996i | \(0.500881\pi\) | |||||||
\(230\) | −3.77972 | + | 1.37570i | −0.249227 | + | 0.0907112i | ||||
\(231\) | −1.55644 | + | 8.82699i | −0.102406 | + | 0.580773i | ||||
\(232\) | 2.06418 | − | 1.73205i | 0.135520 | − | 0.113715i | ||||
\(233\) | 1.43376 | + | 1.20307i | 0.0939289 | + | 0.0788157i | 0.688543 | − | 0.725196i | \(-0.258251\pi\) |
−0.594614 | + | 0.804011i | \(0.702695\pi\) | |||||||
\(234\) | −0.868241 | − | 4.92404i | −0.0567587 | − | 0.321894i | ||||
\(235\) | −4.44356 | − | 7.69648i | −0.289866 | − | 0.502063i | ||||
\(236\) | 4.74897 | − | 8.22546i | 0.309132 | − | 0.535432i | ||||
\(237\) | 12.1284 | + | 4.41436i | 0.787821 | + | 0.286744i | ||||
\(238\) | 13.1284 | + | 4.77833i | 0.850985 | + | 0.309733i | ||||
\(239\) | 12.7665 | − | 22.1122i | 0.825797 | − | 1.43032i | −0.0755117 | − | 0.997145i | \(-0.524059\pi\) |
0.901309 | − | 0.433177i | \(-0.142608\pi\) | |||||||
\(240\) | 0.500000 | + | 0.866025i | 0.0322749 | + | 0.0559017i | ||||
\(241\) | −1.72028 | − | 9.75622i | −0.110813 | − | 0.628453i | −0.988738 | − | 0.149655i | \(-0.952184\pi\) |
0.877925 | − | 0.478798i | \(-0.158927\pi\) | |||||||
\(242\) | 4.98158 | + | 4.18004i | 0.320228 | + | 0.268703i | ||||
\(243\) | 0.766044 | − | 0.642788i | 0.0491418 | − | 0.0412348i | ||||
\(244\) | −2.24123 | + | 12.7106i | −0.143480 | + | 0.813716i | ||||
\(245\) | 10.2096 | − | 3.71599i | 0.652268 | − | 0.237406i | ||||
\(246\) | −9.76651 | −0.622690 | ||||||||
\(247\) | 5.76352 | − | 21.0186i | 0.366724 | − | 1.33738i | ||||
\(248\) | −10.5817 | −0.671940 | ||||||||
\(249\) | 6.41147 | − | 2.33359i | 0.406311 | − | 0.147885i | ||||
\(250\) | 0.173648 | − | 0.984808i | 0.0109825 | − | 0.0622847i | ||||
\(251\) | −4.14337 | + | 3.47670i | −0.261527 | + | 0.219447i | −0.764117 | − | 0.645078i | \(-0.776825\pi\) |
0.502590 | + | 0.864525i | \(0.332381\pi\) | |||||||
\(252\) | 3.23783 | + | 2.71686i | 0.203964 | + | 0.171146i | ||||
\(253\) | −1.48117 | − | 8.40014i | −0.0931204 | − | 0.528112i | ||||
\(254\) | 6.89053 | + | 11.9347i | 0.432350 | + | 0.748853i | ||||
\(255\) | 1.65270 | − | 2.86257i | 0.103496 | − | 0.179261i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 0.972659 | + | 0.354019i | 0.0606728 | + | 0.0220831i | 0.372178 | − | 0.928161i | \(-0.378611\pi\) |
−0.311505 | + | 0.950244i | \(0.600833\pi\) | |||||||
\(258\) | 3.22668 | − | 5.58878i | 0.200884 | − | 0.347942i | ||||
\(259\) | −22.1386 | − | 38.3452i | −1.37563 | − | 2.38266i | ||||
\(260\) | −0.868241 | − | 4.92404i | −0.0538460 | − | 0.305376i | ||||
\(261\) | −2.06418 | − | 1.73205i | −0.127769 | − | 0.107211i | ||||
\(262\) | 14.9684 | − | 12.5600i | 0.924749 | − | 0.775957i | ||||
\(263\) | −2.94996 | + | 16.7301i | −0.181902 | + | 1.03162i | 0.747969 | + | 0.663734i | \(0.231029\pi\) |
−0.929871 | + | 0.367885i | \(0.880082\pi\) | |||||||
\(264\) | −1.99273 | + | 0.725293i | −0.122644 | + | 0.0446387i | ||||
\(265\) | −7.90167 | −0.485396 | ||||||||
\(266\) | 7.68866 | + | 16.7427i | 0.471422 | + | 1.02656i | ||||
\(267\) | 8.18984 | 0.501210 | ||||||||
\(268\) | 2.57398 | − | 0.936851i | 0.157231 | − | 0.0572273i | ||||
\(269\) | −0.179740 | + | 1.01936i | −0.0109589 | + | 0.0621513i | −0.989797 | − | 0.142486i | \(-0.954490\pi\) |
0.978838 | + | 0.204637i | \(0.0656015\pi\) | |||||||
\(270\) | 0.766044 | − | 0.642788i | 0.0466200 | − | 0.0391188i | ||||
\(271\) | 13.1702 | + | 11.0511i | 0.800035 | + | 0.671309i | 0.948207 | − | 0.317652i | \(-0.102894\pi\) |
−0.148172 | + | 0.988962i | \(0.547339\pi\) | |||||||
\(272\) | 0.573978 | + | 3.25519i | 0.0348025 | + | 0.197375i | ||||
\(273\) | −10.5667 | − | 18.3021i | −0.639526 | − | 1.10769i | ||||
\(274\) | 10.8084 | − | 18.7207i | 0.652959 | − | 1.13096i | ||||
\(275\) | 1.99273 | + | 0.725293i | 0.120166 | + | 0.0437368i | ||||
\(276\) | −3.77972 | − | 1.37570i | −0.227512 | − | 0.0828076i | ||||
\(277\) | −0.110815 | + | 0.191936i | −0.00665820 | + | 0.0115323i | −0.869335 | − | 0.494223i | \(-0.835453\pi\) |
0.862677 | + | 0.505755i | \(0.168786\pi\) | |||||||
\(278\) | −4.54189 | − | 7.86678i | −0.272404 | − | 0.471818i | ||||
\(279\) | 1.83750 | + | 10.4210i | 0.110008 | + | 0.623886i | ||||
\(280\) | 3.23783 | + | 2.71686i | 0.193497 | + | 0.162363i | ||||
\(281\) | −1.92468 | + | 1.61500i | −0.114817 | + | 0.0963426i | −0.698388 | − | 0.715719i | \(-0.746099\pi\) |
0.583572 | + | 0.812062i | \(0.301655\pi\) | |||||||
\(282\) | 1.54323 | − | 8.75211i | 0.0918982 | − | 0.521181i | ||||
\(283\) | −0.532089 | + | 0.193665i | −0.0316294 | + | 0.0115122i | −0.357786 | − | 0.933803i | \(-0.616468\pi\) |
0.326157 | + | 0.945316i | \(0.394246\pi\) | |||||||
\(284\) | −9.19253 | −0.545476 | ||||||||
\(285\) | 4.21688 | − | 1.10359i | 0.249786 | − | 0.0653710i | ||||
\(286\) | 10.6031 | 0.626973 | ||||||||
\(287\) | −38.7904 | + | 14.1186i | −2.28973 | + | 0.833393i | ||||
\(288\) | −0.173648 | + | 0.984808i | −0.0102323 | + | 0.0580304i | ||||
\(289\) | −4.65317 | + | 3.90447i | −0.273716 | + | 0.229675i | ||||
\(290\) | −2.06418 | − | 1.73205i | −0.121213 | − | 0.101710i | ||||
\(291\) | −1.44831 | − | 8.21378i | −0.0849015 | − | 0.481500i | ||||
\(292\) | −0.283119 | − | 0.490376i | −0.0165683 | − | 0.0286971i | ||||
\(293\) | −15.6951 | + | 27.1846i | −0.916915 | + | 1.58814i | −0.112842 | + | 0.993613i | \(0.535995\pi\) |
−0.804073 | + | 0.594531i | \(0.797338\pi\) | |||||||
\(294\) | 10.2096 | + | 3.71599i | 0.595436 | + | 0.216721i | ||||
\(295\) | −8.92514 | − | 3.24849i | −0.519642 | − | 0.189134i | ||||
\(296\) | 5.23783 | − | 9.07218i | 0.304442 | − | 0.527310i | ||||
\(297\) | 1.06031 | + | 1.83651i | 0.0615253 | + | 0.106565i | ||||
\(298\) | 2.80066 | + | 15.8833i | 0.162238 | + | 0.920097i | ||||
\(299\) | 15.4063 | + | 12.9274i | 0.890967 | + | 0.747610i | ||||
\(300\) | 0.766044 | − | 0.642788i | 0.0442276 | − | 0.0371114i | ||||
\(301\) | 4.73648 | − | 26.8619i | 0.273006 | − | 1.54830i | ||||
\(302\) | −18.5398 | + | 6.74795i | −1.06685 | + | 0.388301i | ||||
\(303\) | 0.212134 | 0.0121868 | ||||||||
\(304\) | −2.52094 | + | 3.55596i | −0.144586 | + | 0.203948i | ||||
\(305\) | 12.9067 | 0.739037 | ||||||||
\(306\) | 3.10607 | − | 1.13052i | 0.177562 | − | 0.0646273i | ||||
\(307\) | −2.30810 | + | 13.0899i | −0.131730 | + | 0.747078i | 0.845351 | + | 0.534211i | \(0.179391\pi\) |
−0.977081 | + | 0.212867i | \(0.931720\pi\) | |||||||
\(308\) | −6.86618 | + | 5.76141i | −0.391237 | + | 0.328287i | ||||
\(309\) | 7.36618 | + | 6.18096i | 0.419047 | + | 0.351623i | ||||
\(310\) | 1.83750 | + | 10.4210i | 0.104363 | + | 0.591871i | ||||
\(311\) | 2.83750 | + | 4.91469i | 0.160900 | + | 0.278686i | 0.935192 | − | 0.354142i | \(-0.115227\pi\) |
−0.774292 | + | 0.632829i | \(0.781894\pi\) | |||||||
\(312\) | 2.50000 | − | 4.33013i | 0.141535 | − | 0.245145i | ||||
\(313\) | −12.0770 | − | 4.39566i | −0.682631 | − | 0.248457i | −0.0226541 | − | 0.999743i | \(-0.507212\pi\) |
−0.659977 | + | 0.751286i | \(0.729434\pi\) | |||||||
\(314\) | −4.32635 | − | 1.57466i | −0.244150 | − | 0.0888634i | ||||
\(315\) | 2.11334 | − | 3.66041i | 0.119073 | − | 0.206241i | ||||
\(316\) | 6.45336 | + | 11.1776i | 0.363030 | + | 0.628786i | ||||
\(317\) | 1.19800 | + | 6.79417i | 0.0672862 | + | 0.381599i | 0.999791 | + | 0.0204415i | \(0.00650718\pi\) |
−0.932505 | + | 0.361157i | \(0.882382\pi\) | |||||||
\(318\) | −6.05303 | − | 5.07910i | −0.339437 | − | 0.284822i | ||||
\(319\) | 4.37733 | − | 3.67301i | 0.245083 | − | 0.205649i | ||||
\(320\) | −0.173648 | + | 0.984808i | −0.00970723 | + | 0.0550524i | ||||
\(321\) | −11.2763 | + | 4.10424i | −0.629382 | + | 0.229076i | ||||
\(322\) | −17.0009 | −0.947425 | ||||||||
\(323\) | 14.3455 | + | 1.33943i | 0.798207 | + | 0.0745277i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | −4.69846 | + | 1.71010i | −0.260624 | + | 0.0948593i | ||||
\(326\) | −1.06418 | + | 6.03525i | −0.0589394 | + | 0.334262i | ||||
\(327\) | −5.04189 | + | 4.23065i | −0.278817 | + | 0.233955i | ||||
\(328\) | −7.48158 | − | 6.27779i | −0.413101 | − | 0.346633i | ||||
\(329\) | −6.52276 | − | 36.9924i | −0.359611 | − | 2.03946i | ||||
\(330\) | 1.06031 | + | 1.83651i | 0.0583680 | + | 0.101096i | ||||
\(331\) | 10.7096 | − | 18.5496i | 0.588653 | − | 1.01958i | −0.405756 | − | 0.913981i | \(-0.632992\pi\) |
0.994409 | − | 0.105596i | \(-0.0336750\pi\) | |||||||
\(332\) | 6.41147 | + | 2.33359i | 0.351875 | + | 0.128072i | ||||
\(333\) | −9.84389 | − | 3.58288i | −0.539442 | − | 0.196341i | ||||
\(334\) | 3.18092 | − | 5.50952i | 0.174052 | − | 0.301467i | ||||
\(335\) | −1.36959 | − | 2.37219i | −0.0748284 | − | 0.129607i | ||||
\(336\) | 0.733956 | + | 4.16247i | 0.0400406 | + | 0.227081i | ||||
\(337\) | −13.7365 | − | 11.5263i | −0.748274 | − | 0.627876i | 0.186772 | − | 0.982403i | \(-0.440197\pi\) |
−0.935046 | + | 0.354527i | \(0.884642\pi\) | |||||||
\(338\) | −9.19253 | + | 7.71345i | −0.500008 | + | 0.419556i | ||||
\(339\) | 0.361844 | − | 2.05212i | 0.0196527 | − | 0.111456i | ||||
\(340\) | 3.10607 | − | 1.13052i | 0.168450 | − | 0.0613108i | ||||
\(341\) | −22.4397 | −1.21518 | ||||||||
\(342\) | 3.93969 | + | 1.86516i | 0.213034 | + | 0.100856i | ||||
\(343\) | 16.3354 | 0.882031 | ||||||||
\(344\) | 6.06418 | − | 2.20718i | 0.326959 | − | 0.119003i | ||||
\(345\) | −0.698463 | + | 3.96118i | −0.0376040 | + | 0.213263i | ||||
\(346\) | −11.6099 | + | 9.74189i | −0.624154 | + | 0.523727i | ||||
\(347\) | −9.03003 | − | 7.57709i | −0.484757 | − | 0.406760i | 0.367386 | − | 0.930069i | \(-0.380253\pi\) |
−0.852143 | + | 0.523309i | \(0.824697\pi\) | |||||||
\(348\) | −0.467911 | − | 2.65366i | −0.0250827 | − | 0.142251i | ||||
\(349\) | −0.120615 | − | 0.208911i | −0.00645636 | − | 0.0111827i | 0.862779 | − | 0.505581i | \(-0.168722\pi\) |
−0.869236 | + | 0.494398i | \(0.835388\pi\) | |||||||
\(350\) | 2.11334 | − | 3.66041i | 0.112963 | − | 0.195657i | ||||
\(351\) | −4.69846 | − | 1.71010i | −0.250785 | − | 0.0912784i | ||||
\(352\) | −1.99273 | − | 0.725293i | −0.106213 | − | 0.0386582i | ||||
\(353\) | 8.58172 | − | 14.8640i | 0.456759 | − | 0.791129i | −0.542029 | − | 0.840360i | \(-0.682344\pi\) |
0.998787 | + | 0.0492306i | \(0.0156769\pi\) | |||||||
\(354\) | −4.74897 | − | 8.22546i | −0.252405 | − | 0.437178i | ||||
\(355\) | 1.59627 | + | 9.05288i | 0.0847210 | + | 0.480477i | ||||
\(356\) | 6.27379 | + | 5.26433i | 0.332510 | + | 0.279009i | ||||
\(357\) | 10.7023 | − | 8.98032i | 0.566428 | − | 0.475289i | ||||
\(358\) | 0.336619 | − | 1.90906i | 0.0177909 | − | 0.100897i | ||||
\(359\) | −25.6459 | + | 9.33434i | −1.35354 | + | 0.492648i | −0.914050 | − | 0.405601i | \(-0.867062\pi\) |
−0.439488 | + | 0.898248i | \(0.644840\pi\) | |||||||
\(360\) | 1.00000 | 0.0527046 | ||||||||
\(361\) | 12.0424 | + | 14.6963i | 0.633808 | + | 0.773490i | ||||
\(362\) | −12.1284 | −0.637452 | ||||||||
\(363\) | 6.11081 | − | 2.22415i | 0.320735 | − | 0.116738i | ||||
\(364\) | 3.66978 | − | 20.8123i | 0.192349 | − | 1.09086i | ||||
\(365\) | −0.433763 | + | 0.363970i | −0.0227042 | + | 0.0190511i | ||||
\(366\) | 9.88713 | + | 8.29628i | 0.516808 | + | 0.433654i | ||||
\(367\) | −0.143619 | − | 0.814502i | −0.00749683 | − | 0.0425167i | 0.980830 | − | 0.194866i | \(-0.0624272\pi\) |
−0.988327 | + | 0.152349i | \(0.951316\pi\) | |||||||
\(368\) | −2.01114 | − | 3.48340i | −0.104838 | − | 0.181585i | ||||
\(369\) | −4.88326 | + | 8.45805i | −0.254212 | + | 0.440308i | ||||
\(370\) | −9.84389 | − | 3.58288i | −0.511760 | − | 0.186265i | ||||
\(371\) | −31.3837 | − | 11.4227i | −1.62936 | − | 0.593039i | ||||
\(372\) | −5.29086 | + | 9.16404i | −0.274318 | + | 0.475133i | ||||
\(373\) | −7.73190 | − | 13.3920i | −0.400342 | − | 0.693413i | 0.593425 | − | 0.804890i | \(-0.297775\pi\) |
−0.993767 | + | 0.111476i | \(0.964442\pi\) | |||||||
\(374\) | 1.21719 | + | 6.90301i | 0.0629392 | + | 0.356946i | ||||
\(375\) | −0.766044 | − | 0.642788i | −0.0395584 | − | 0.0331934i | ||||
\(376\) | 6.80793 | − | 5.71253i | 0.351092 | − | 0.294601i | ||||
\(377\) | −2.33956 | + | 13.2683i | −0.120493 | + | 0.683351i | ||||
\(378\) | 3.97178 | − | 1.44561i | 0.204286 | − | 0.0743542i | ||||
\(379\) | 15.3013 | 0.785974 | 0.392987 | − | 0.919544i | \(-0.371442\pi\) | ||||
0.392987 | + | 0.919544i | \(0.371442\pi\) | |||||||
\(380\) | 3.93969 | + | 1.86516i | 0.202102 | + | 0.0956807i | ||||
\(381\) | 13.7811 | 0.706025 | ||||||||
\(382\) | 6.14290 | − | 2.23583i | 0.314298 | − | 0.114395i | ||||
\(383\) | −2.15405 | + | 12.2162i | −0.110067 | + | 0.624219i | 0.879008 | + | 0.476806i | \(0.158206\pi\) |
−0.989075 | + | 0.147413i | \(0.952905\pi\) | |||||||
\(384\) | −0.766044 | + | 0.642788i | −0.0390920 | + | 0.0328021i | ||||
\(385\) | 6.86618 | + | 5.76141i | 0.349933 | + | 0.293629i | ||||
\(386\) | −0.453363 | − | 2.57115i | −0.0230756 | − | 0.130868i | ||||
\(387\) | −3.22668 | − | 5.58878i | −0.164021 | − | 0.284093i | ||||
\(388\) | 4.17024 | − | 7.22308i | 0.211712 | − | 0.366696i | ||||
\(389\) | 16.2344 | + | 5.90885i | 0.823118 | + | 0.299590i | 0.719031 | − | 0.694978i | \(-0.244586\pi\) |
0.104087 | + | 0.994568i | \(0.466808\pi\) | |||||||
\(390\) | −4.69846 | − | 1.71010i | −0.237916 | − | 0.0865943i | ||||
\(391\) | −6.64765 | + | 11.5141i | −0.336186 | + | 0.582292i | ||||
\(392\) | 5.43242 | + | 9.40923i | 0.274379 | + | 0.475238i | ||||
\(393\) | −3.39306 | − | 19.2430i | −0.171157 | − | 0.970680i | ||||
\(394\) | 0.220752 | + | 0.185233i | 0.0111213 | + | 0.00933189i | ||||
\(395\) | 9.88713 | − | 8.29628i | 0.497475 | − | 0.417431i | ||||
\(396\) | −0.368241 | + | 2.08840i | −0.0185048 | + | 0.104946i | ||||
\(397\) | 1.76604 | − | 0.642788i | 0.0886352 | − | 0.0322606i | −0.297322 | − | 0.954777i | \(-0.596093\pi\) |
0.385957 | + | 0.922517i | \(0.373871\pi\) | |||||||
\(398\) | −9.36009 | −0.469179 | ||||||||
\(399\) | 18.3439 | + | 1.71275i | 0.918343 | + | 0.0857447i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | −27.0428 | + | 9.84278i | −1.35045 | + | 0.491525i | −0.913090 | − | 0.407759i | \(-0.866310\pi\) |
−0.437365 | + | 0.899284i | \(0.644088\pi\) | |||||||
\(402\) | 0.475652 | − | 2.69756i | 0.0237234 | − | 0.134542i | ||||
\(403\) | 40.5303 | − | 34.0090i | 2.01896 | − | 1.69411i | ||||
\(404\) | 0.162504 | + | 0.136357i | 0.00808487 | + | 0.00678401i | ||||
\(405\) | −0.173648 | − | 0.984808i | −0.00862865 | − | 0.0489355i | ||||
\(406\) | −5.69459 | − | 9.86332i | −0.282618 | − | 0.489509i | ||||
\(407\) | 11.1074 | − | 19.2386i | 0.550574 | − | 0.953622i | ||||
\(408\) | 3.10607 | + | 1.13052i | 0.153773 | + | 0.0559689i | ||||
\(409\) | 29.7511 | + | 10.8285i | 1.47110 | + | 0.535435i | 0.948398 | − | 0.317082i | \(-0.102703\pi\) |
0.522698 | + | 0.852518i | \(0.324925\pi\) | |||||||
\(410\) | −4.88326 | + | 8.45805i | −0.241167 | + | 0.417713i | ||||
\(411\) | −10.8084 | − | 18.7207i | −0.533139 | − | 0.923424i | ||||
\(412\) | 1.66978 | + | 9.46978i | 0.0822640 | + | 0.466543i | ||||
\(413\) | −30.7527 | − | 25.8046i | −1.51324 | − | 1.26976i | ||||
\(414\) | −3.08125 | + | 2.58548i | −0.151435 | + | 0.127069i | ||||
\(415\) | 1.18479 | − | 6.71929i | 0.0581592 | − | 0.329837i | ||||
\(416\) | 4.69846 | − | 1.71010i | 0.230361 | − | 0.0838446i | ||||
\(417\) | −9.08378 | −0.444835 | ||||||||
\(418\) | −5.34595 | + | 7.54082i | −0.261479 | + | 0.368833i | ||||
\(419\) | 3.04963 | 0.148984 | 0.0744921 | − | 0.997222i | \(-0.476266\pi\) | ||||
0.0744921 | + | 0.997222i | \(0.476266\pi\) | |||||||
\(420\) | 3.97178 | − | 1.44561i | 0.193803 | − | 0.0705386i | ||||
\(421\) | −0.837496 | + | 4.74968i | −0.0408171 | + | 0.231485i | −0.998391 | − | 0.0567022i | \(-0.981941\pi\) |
0.957574 | + | 0.288187i | \(0.0930526\pi\) | |||||||
\(422\) | 18.8025 | − | 15.7771i | 0.915290 | − | 0.768019i | ||||
\(423\) | −6.80793 | − | 5.71253i | −0.331013 | − | 0.277753i | ||||
\(424\) | −1.37211 | − | 7.78163i | −0.0666356 | − | 0.377909i | ||||
\(425\) | −1.65270 | − | 2.86257i | −0.0801679 | − | 0.138855i | ||||
\(426\) | −4.59627 | + | 7.96097i | −0.222690 | + | 0.385710i | ||||
\(427\) | 51.2627 | + | 18.6581i | 2.48078 | + | 0.902929i | ||||
\(428\) | −11.2763 | − | 4.10424i | −0.545061 | − | 0.198386i | ||||
\(429\) | 5.30154 | − | 9.18253i | 0.255961 | − | 0.443337i | ||||
\(430\) | −3.22668 | − | 5.58878i | −0.155604 | − | 0.269515i | ||||
\(431\) | 6.35504 | + | 36.0412i | 0.306111 | + | 1.73604i | 0.618227 | + | 0.786000i | \(0.287851\pi\) |
−0.312116 | + | 0.950044i | \(0.601038\pi\) | |||||||
\(432\) | 0.766044 | + | 0.642788i | 0.0368563 | + | 0.0309261i | ||||
\(433\) | −12.4757 | + | 10.4683i | −0.599542 | + | 0.503075i | −0.891298 | − | 0.453417i | \(-0.850205\pi\) |
0.291757 | + | 0.956493i | \(0.405760\pi\) | |||||||
\(434\) | −7.76651 | + | 44.0461i | −0.372804 | + | 2.11428i | ||||
\(435\) | −2.53209 | + | 0.921605i | −0.121404 | + | 0.0441876i | ||||
\(436\) | −6.58172 | −0.315207 | ||||||||
\(437\) | −16.9615 | + | 4.43896i | −0.811379 | + | 0.212344i | ||||
\(438\) | −0.566237 | −0.0270559 | ||||||||
\(439\) | −11.9709 | + | 4.35705i | −0.571340 | + | 0.207951i | −0.611503 | − | 0.791242i | \(-0.709435\pi\) |
0.0401626 | + | 0.999193i | \(0.487212\pi\) | |||||||
\(440\) | −0.368241 | + | 2.08840i | −0.0175552 | + | 0.0995605i | ||||
\(441\) | 8.32295 | − | 6.98378i | 0.396331 | − | 0.332561i | ||||
\(442\) | −12.6604 | − | 10.6234i | −0.602196 | − | 0.505302i | ||||
\(443\) | −2.51249 | − | 14.2490i | −0.119372 | − | 0.676992i | −0.984492 | − | 0.175428i | \(-0.943869\pi\) |
0.865120 | − | 0.501564i | \(-0.167242\pi\) | |||||||
\(444\) | −5.23783 | − | 9.07218i | −0.248576 | − | 0.430547i | ||||
\(445\) | 4.09492 | − | 7.09261i | 0.194118 | − | 0.336222i | ||||
\(446\) | 8.32547 | + | 3.03022i | 0.394223 | + | 0.143485i | ||||
\(447\) | 15.1557 | + | 5.51622i | 0.716840 | + | 0.260908i | ||||
\(448\) | −2.11334 | + | 3.66041i | −0.0998460 | + | 0.172938i | ||||
\(449\) | 7.57785 | + | 13.1252i | 0.357621 | + | 0.619417i | 0.987563 | − | 0.157225i | \(-0.0502547\pi\) |
−0.629942 | + | 0.776642i | \(0.716921\pi\) | |||||||
\(450\) | −0.173648 | − | 0.984808i | −0.00818585 | − | 0.0464243i | ||||
\(451\) | −15.8656 | − | 13.3128i | −0.747080 | − | 0.626874i | ||||
\(452\) | 1.59627 | − | 1.33943i | 0.0750821 | − | 0.0630013i | ||||
\(453\) | −3.42602 | + | 19.4299i | −0.160969 | + | 0.912898i | ||||
\(454\) | −13.9017 | + | 5.05980i | −0.652438 | + | 0.237468i | ||||
\(455\) | −21.1334 | −0.990749 | ||||||||
\(456\) | 1.81908 | + | 3.96118i | 0.0851861 | + | 0.185499i | ||||
\(457\) | 11.6304 | 0.544048 | 0.272024 | − | 0.962290i | \(-0.412307\pi\) | ||||
0.272024 | + | 0.962290i | \(0.412307\pi\) | |||||||
\(458\) | −0.0787257 | + | 0.0286538i | −0.00367861 | + | 0.00133890i | ||||
\(459\) | 0.573978 | − | 3.25519i | 0.0267910 | − | 0.151939i | ||||
\(460\) | −3.08125 | + | 2.58548i | −0.143664 | + | 0.120549i | ||||
\(461\) | −16.2645 | − | 13.6475i | −0.757511 | − | 0.635627i | 0.179967 | − | 0.983673i | \(-0.442401\pi\) |
−0.937478 | + | 0.348045i | \(0.886845\pi\) | |||||||
\(462\) | 1.55644 | + | 8.82699i | 0.0724120 | + | 0.410669i | ||||
\(463\) | 15.8268 | + | 27.4129i | 0.735535 | + | 1.27398i | 0.954488 | + | 0.298248i | \(0.0964023\pi\) |
−0.218954 | + | 0.975735i | \(0.570264\pi\) | |||||||
\(464\) | 1.34730 | − | 2.33359i | 0.0625467 | − | 0.108334i | ||||
\(465\) | 9.94356 | + | 3.61916i | 0.461122 | + | 0.167835i | ||||
\(466\) | 1.75877 | + | 0.640140i | 0.0814735 | + | 0.0296539i | ||||
\(467\) | −8.33275 | + | 14.4327i | −0.385594 | + | 0.667868i | −0.991851 | − | 0.127400i | \(-0.959337\pi\) |
0.606258 | + | 0.795268i | \(0.292670\pi\) | |||||||
\(468\) | −2.50000 | − | 4.33013i | −0.115563 | − | 0.200160i | ||||
\(469\) | −2.01043 | − | 11.4017i | −0.0928330 | − | 0.526482i | ||||
\(470\) | −6.80793 | − | 5.71253i | −0.314027 | − | 0.263500i | ||||
\(471\) | −3.52687 | + | 2.95940i | −0.162510 | + | 0.136362i | ||||
\(472\) | 1.64930 | − | 9.35365i | 0.0759152 | − | 0.430536i | ||||
\(473\) | 12.8598 | − | 4.68058i | 0.591294 | − | 0.215213i | ||||
\(474\) | 12.9067 | 0.592826 | ||||||||
\(475\) | 1.15270 | − | 4.20372i | 0.0528897 | − | 0.192880i | ||||
\(476\) | 13.9709 | 0.640355 | ||||||||
\(477\) | −7.42514 | + | 2.70253i | −0.339974 | + | 0.123740i | ||||
\(478\) | 4.43376 | − | 25.1451i | 0.202796 | − | 1.15011i | ||||
\(479\) | −3.66044 | + | 3.07148i | −0.167250 | + | 0.140339i | −0.722571 | − | 0.691297i | \(-0.757040\pi\) |
0.555321 | + | 0.831636i | \(0.312595\pi\) | |||||||
\(480\) | 0.766044 | + | 0.642788i | 0.0349650 | + | 0.0293391i | ||||
\(481\) | 9.09539 | + | 51.5825i | 0.414714 | + | 2.35196i | ||||
\(482\) | −4.95336 | − | 8.57948i | −0.225620 | − | 0.390784i | ||||
\(483\) | −8.50047 | + | 14.7232i | −0.386785 | + | 0.669931i | ||||
\(484\) | 6.11081 | + | 2.22415i | 0.277764 | + | 0.101098i | ||||
\(485\) | −7.83750 | − | 2.85262i | −0.355882 | − | 0.129531i | ||||
\(486\) | 0.500000 | − | 0.866025i | 0.0226805 | − | 0.0392837i | ||||
\(487\) | −3.04916 | − | 5.28131i | −0.138171 | − | 0.239319i | 0.788633 | − | 0.614864i | \(-0.210789\pi\) |
−0.926804 | + | 0.375545i | \(0.877456\pi\) | |||||||
\(488\) | 2.24123 | + | 12.7106i | 0.101456 | + | 0.575384i | ||||
\(489\) | 4.69459 | + | 3.93923i | 0.212297 | + | 0.178138i | ||||
\(490\) | 8.32295 | − | 6.98378i | 0.375992 | − | 0.315495i | ||||
\(491\) | −1.99613 | + | 11.3206i | −0.0900841 | + | 0.510892i | 0.906059 | + | 0.423151i | \(0.139076\pi\) |
−0.996143 | + | 0.0877413i | \(0.972035\pi\) | |||||||
\(492\) | −9.17752 | + | 3.34034i | −0.413754 | + | 0.150594i | ||||
\(493\) | −8.90673 | −0.401139 | ||||||||
\(494\) | −1.77285 | − | 21.7223i | −0.0797644 | − | 0.977331i | ||||
\(495\) | 2.12061 | 0.0953145 | ||||||||
\(496\) | −9.94356 | + | 3.61916i | −0.446479 | + | 0.162505i | ||||
\(497\) | −6.74691 | + | 38.2636i | −0.302640 | + | 1.71636i | ||||
\(498\) | 5.22668 | − | 4.38571i | 0.234213 | − | 0.196528i | ||||
\(499\) | −30.7108 | − | 25.7694i | −1.37480 | − | 1.15360i | −0.971090 | − | 0.238712i | \(-0.923275\pi\) |
−0.403713 | − | 0.914886i | \(-0.632281\pi\) | |||||||
\(500\) | −0.173648 | − | 0.984808i | −0.00776578 | − | 0.0440419i | ||||
\(501\) | −3.18092 | − | 5.50952i | −0.142113 | − | 0.246147i | ||||
\(502\) | −2.70439 | + | 4.68415i | −0.120703 | + | 0.209064i | ||||
\(503\) | −6.91400 | − | 2.51649i | −0.308280 | − | 0.112205i | 0.183247 | − | 0.983067i | \(-0.441339\pi\) |
−0.491527 | + | 0.870862i | \(0.663561\pi\) | |||||||
\(504\) | 3.97178 | + | 1.44561i | 0.176917 | + | 0.0643926i | ||||
\(505\) | 0.106067 | − | 0.183713i | 0.00471991 | − | 0.00817513i | ||||
\(506\) | −4.26486 | − | 7.38696i | −0.189596 | − | 0.328390i | ||||
\(507\) | 2.08378 | + | 11.8177i | 0.0925438 | + | 0.524842i | ||||
\(508\) | 10.5569 | + | 8.85829i | 0.468387 | + | 0.393023i | ||||
\(509\) | 32.0874 | − | 26.9245i | 1.42225 | − | 1.19341i | 0.472127 | − | 0.881531i | \(-0.343486\pi\) |
0.950122 | − | 0.311878i | \(-0.100958\pi\) | |||||||
\(510\) | 0.573978 | − | 3.25519i | 0.0254162 | − | 0.144142i | ||||
\(511\) | −2.24897 | + | 0.818558i | −0.0994886 | + | 0.0362109i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 3.58512 | − | 2.47929i | 0.158287 | − | 0.109463i | ||||
\(514\) | 1.03508 | 0.0456555 | ||||||||
\(515\) | 9.03596 | − | 3.28882i | 0.398172 | − | 0.144923i | ||||
\(516\) | 1.12061 | − | 6.35532i | 0.0493323 | − | 0.279777i | ||||
\(517\) | 14.4370 | − | 12.1141i | 0.634939 | − | 0.532777i | ||||
\(518\) | −33.9183 | − | 28.4609i | −1.49029 | − | 1.25050i | ||||
\(519\) | 2.63176 | + | 14.9254i | 0.115521 | + | 0.655154i | ||||
\(520\) | −2.50000 | − | 4.33013i | −0.109632 | − | 0.189889i | ||||
\(521\) | −16.4338 | + | 28.4641i | −0.719976 | + | 1.24704i | 0.241032 | + | 0.970517i | \(0.422514\pi\) |
−0.961009 | + | 0.276518i | \(0.910819\pi\) | |||||||
\(522\) | −2.53209 | − | 0.921605i | −0.110827 | − | 0.0403376i | ||||
\(523\) | 8.44831 | + | 3.07493i | 0.369419 | + | 0.134457i | 0.520057 | − | 0.854131i | \(-0.325911\pi\) |
−0.150638 | + | 0.988589i | \(0.548133\pi\) | |||||||
\(524\) | 9.76991 | − | 16.9220i | 0.426801 | − | 0.739241i | ||||
\(525\) | −2.11334 | − | 3.66041i | −0.0922338 | − | 0.159754i | ||||
\(526\) | 2.94996 | + | 16.7301i | 0.128624 | + | 0.729465i | ||||
\(527\) | 26.7939 | + | 22.4827i | 1.16716 | + | 0.979362i | ||||
\(528\) | −1.62449 | + | 1.36310i | −0.0706966 | + | 0.0593215i | ||||
\(529\) | −1.18449 | + | 6.71756i | −0.0514995 | + | 0.292068i | ||||
\(530\) | −7.42514 | + | 2.70253i | −0.322528 | + | 0.117390i | ||||
\(531\) | −9.49794 | −0.412176 | ||||||||
\(532\) | 12.9513 | + | 13.1033i | 0.561510 | + | 0.568099i | ||||
\(533\) | 48.8326 | 2.11517 | ||||||||
\(534\) | 7.69594 | − | 2.80109i | 0.333036 | − | 0.121215i | ||||
\(535\) | −2.08378 | + | 11.8177i | −0.0900896 | + | 0.510923i | ||||
\(536\) | 2.09833 | − | 1.76070i | 0.0906339 | − | 0.0760509i | ||||
\(537\) | −1.48499 | − | 1.24605i | −0.0640818 | − | 0.0537711i | ||||
\(538\) | 0.179740 | + | 1.01936i | 0.00774915 | + | 0.0439476i | ||||
\(539\) | 11.5201 | + | 19.9533i | 0.496204 | + | 0.859451i | ||||
\(540\) | 0.500000 | − | 0.866025i | 0.0215166 | − | 0.0372678i | ||||
\(541\) | 6.49020 | + | 2.36224i | 0.279035 | + | 0.101561i | 0.477747 | − | 0.878497i | \(-0.341454\pi\) |
−0.198712 | + | 0.980058i | \(0.563676\pi\) | |||||||
\(542\) | 16.1557 | + | 5.88019i | 0.693947 | + | 0.252576i | ||||
\(543\) | −6.06418 | + | 10.5035i | −0.260239 | + | 0.450747i | ||||
\(544\) | 1.65270 | + | 2.86257i | 0.0708591 | + | 0.122732i | ||||
\(545\) | 1.14290 | + | 6.48173i | 0.0489566 | + | 0.277647i | ||||
\(546\) | −16.1891 | − | 13.5843i | −0.692831 | − | 0.581354i | ||||
\(547\) | 16.1898 | − | 13.5849i | 0.692228 | − | 0.580848i | −0.227323 | − | 0.973819i | \(-0.572997\pi\) |
0.919551 | + | 0.392971i | \(0.128553\pi\) | |||||||
\(548\) | 3.75372 | − | 21.2884i | 0.160351 | − | 0.909395i | ||||
\(549\) | 12.1284 | − | 4.41436i | 0.517626 | − | 0.188400i | ||||
\(550\) | 2.12061 | 0.0904233 | ||||||||
\(551\) | −8.25671 | − | 8.35359i | −0.351748 | − | 0.355875i | ||||
\(552\) | −4.02229 | −0.171200 | ||||||||
\(553\) | 51.2627 | − | 18.6581i | 2.17991 | − | 0.793423i | ||||
\(554\) | −0.0384855 | + | 0.218262i | −0.00163509 | + | 0.00927307i | ||||
\(555\) | −8.02481 | + | 6.73362i | −0.340634 | + | 0.285826i | ||||
\(556\) | −6.95858 | − | 5.83894i | −0.295109 | − | 0.247626i | ||||
\(557\) | −1.12078 | − | 6.35624i | −0.0474888 | − | 0.269323i | 0.951813 | − | 0.306678i | \(-0.0992176\pi\) |
−0.999302 | + | 0.0373558i | \(0.988107\pi\) | |||||||
\(558\) | 5.29086 | + | 9.16404i | 0.223980 | + | 0.387945i | ||||
\(559\) | −16.1334 | + | 27.9439i | −0.682370 | + | 1.18190i | ||||
\(560\) | 3.97178 | + | 1.44561i | 0.167838 | + | 0.0610882i | ||||
\(561\) | 6.58677 | + | 2.39739i | 0.278094 | + | 0.101218i | ||||
\(562\) | −1.25624 | + | 2.17588i | −0.0529915 | + | 0.0917839i | ||||
\(563\) | 8.61856 | + | 14.9278i | 0.363229 | + | 0.629131i | 0.988490 | − | 0.151285i | \(-0.0483410\pi\) |
−0.625261 | + | 0.780415i | \(0.715008\pi\) | |||||||
\(564\) | −1.54323 | − | 8.75211i | −0.0649818 | − | 0.368530i | ||||
\(565\) | −1.59627 | − | 1.33943i | −0.0671554 | − | 0.0563501i | ||||
\(566\) | −0.433763 | + | 0.363970i | −0.0182324 | + | 0.0152988i | ||||
\(567\) | 0.733956 | − | 4.16247i | 0.0308232 | − | 0.174807i | ||||
\(568\) | −8.63816 | + | 3.14403i | −0.362449 | + | 0.131921i | ||||
\(569\) | 27.2226 | 1.14123 | 0.570615 | − | 0.821218i | \(-0.306705\pi\) | ||||
0.570615 | + | 0.821218i | \(0.306705\pi\) | |||||||
\(570\) | 3.58512 | − | 2.47929i | 0.150164 | − | 0.103846i | ||||
\(571\) | 42.8972 | 1.79519 | 0.897597 | − | 0.440818i | \(-0.145311\pi\) | ||||
0.897597 | + | 0.440818i | \(0.145311\pi\) | |||||||
\(572\) | 9.96363 | − | 3.62646i | 0.416600 | − | 0.151630i | ||||
\(573\) | 1.13516 | − | 6.43783i | 0.0474221 | − | 0.268944i | ||||
\(574\) | −31.6223 | + | 26.5342i | −1.31989 | + | 1.10752i | ||||
\(575\) | 3.08125 | + | 2.58548i | 0.128497 | + | 0.107822i | ||||
\(576\) | 0.173648 | + | 0.984808i | 0.00723534 | + | 0.0410337i | ||||
\(577\) | −1.00000 | − | 1.73205i | −0.0416305 | − | 0.0721062i | 0.844459 | − | 0.535620i | \(-0.179922\pi\) |
−0.886090 | + | 0.463513i | \(0.846589\pi\) | |||||||
\(578\) | −3.03714 | + | 5.26048i | −0.126328 | + | 0.218807i | ||||
\(579\) | −2.45336 | − | 0.892951i | −0.101958 | − | 0.0371098i | ||||
\(580\) | −2.53209 | − | 0.921605i | −0.105139 | − | 0.0382676i | ||||
\(581\) | 14.4192 | − | 24.9748i | 0.598210 | − | 1.03613i | ||||
\(582\) | −4.17024 | − | 7.22308i | −0.172862 | − | 0.299406i | ||||
\(583\) | −2.90972 | − | 16.5018i | −0.120508 | − | 0.683436i | ||||
\(584\) | −0.433763 | − | 0.363970i | −0.0179492 | − | 0.0150612i | ||||
\(585\) | −3.83022 | + | 3.21394i | −0.158360 | + | 0.132880i | ||||
\(586\) | −5.45084 | + | 30.9132i | −0.225172 | + | 1.27701i | ||||
\(587\) | −13.1652 | + | 4.79174i | −0.543386 | + | 0.197776i | −0.599105 | − | 0.800670i | \(-0.704477\pi\) |
0.0557196 | + | 0.998446i | \(0.482255\pi\) | |||||||
\(588\) | 10.8648 | 0.448058 | ||||||||
\(589\) | 3.75196 | + | 45.9718i | 0.154597 | + | 1.89423i | ||||
\(590\) | −9.49794 | −0.391024 | ||||||||
\(591\) | 0.270792 | − | 0.0985603i | 0.0111389 | − | 0.00405423i | ||||
\(592\) | 1.81908 | − | 10.3165i | 0.0747636 | − | 0.424006i | ||||
\(593\) | 4.29086 | − | 3.60046i | 0.176204 | − | 0.147853i | −0.550420 | − | 0.834888i | \(-0.685532\pi\) |
0.726625 | + | 0.687035i | \(0.241088\pi\) | |||||||
\(594\) | 1.62449 | + | 1.36310i | 0.0666534 | + | 0.0559289i | ||||
\(595\) | −2.42602 | − | 13.7587i | −0.0994572 | − | 0.564050i | ||||
\(596\) | 8.06418 | + | 13.9676i | 0.330322 | + | 0.572134i | ||||
\(597\) | −4.68004 | + | 8.10608i | −0.191541 | + | 0.331760i | ||||
\(598\) | 18.8986 | + | 6.87852i | 0.772820 | + | 0.281284i | ||||
\(599\) | −8.54488 | − | 3.11008i | −0.349134 | − | 0.127075i | 0.161499 | − | 0.986873i | \(-0.448367\pi\) |
−0.510634 | + | 0.859798i | \(0.670589\pi\) | |||||||
\(600\) | 0.500000 | − | 0.866025i | 0.0204124 | − | 0.0353553i | ||||
\(601\) | 9.27244 | + | 16.0603i | 0.378231 | + | 0.655115i | 0.990805 | − | 0.135298i | \(-0.0431993\pi\) |
−0.612574 | + | 0.790413i | \(0.709866\pi\) | |||||||
\(602\) | −4.73648 | − | 26.8619i | −0.193045 | − | 1.09481i | ||||
\(603\) | −2.09833 | − | 1.76070i | −0.0854504 | − | 0.0717014i | ||||
\(604\) | −15.1138 | + | 12.6820i | −0.614972 | + | 0.516023i | ||||
\(605\) | 1.12923 | − | 6.40420i | 0.0459098 | − | 0.260368i | ||||
\(606\) | 0.199340 | − | 0.0725540i | 0.00809765 | − | 0.00294730i | ||||
\(607\) | 17.8726 | 0.725426 | 0.362713 | − | 0.931901i | \(-0.381851\pi\) | ||||
0.362713 | + | 0.931901i | \(0.381851\pi\) | |||||||
\(608\) | −1.15270 | + | 4.20372i | −0.0467483 | + | 0.170483i | ||||
\(609\) | −11.3892 | −0.461513 | ||||||||
\(610\) | 12.1284 | − | 4.41436i | 0.491063 | − | 0.178732i | ||||
\(611\) | −7.71617 | + | 43.7606i | −0.312163 | + | 1.77036i | ||||
\(612\) | 2.53209 | − | 2.12467i | 0.102354 | − | 0.0858849i | ||||
\(613\) | 16.0096 | + | 13.4336i | 0.646620 | + | 0.542578i | 0.906043 | − | 0.423185i | \(-0.139088\pi\) |
−0.259423 | + | 0.965764i | \(0.583533\pi\) | |||||||
\(614\) | 2.30810 | + | 13.0899i | 0.0931472 | + | 0.528264i | ||||
\(615\) | 4.88326 | + | 8.45805i | 0.196912 | + | 0.341061i | ||||
\(616\) | −4.48158 | + | 7.76233i | −0.180568 | + | 0.312753i | ||||
\(617\) | 26.5621 | + | 9.66782i | 1.06935 | + | 0.389212i | 0.815934 | − | 0.578145i | \(-0.196223\pi\) |
0.253417 | + | 0.967357i | \(0.418446\pi\) | |||||||
\(618\) | 9.03596 | + | 3.28882i | 0.363480 | + | 0.132296i | ||||
\(619\) | −23.4051 | + | 40.5389i | −0.940732 | + | 1.62940i | −0.176652 | + | 0.984273i | \(0.556527\pi\) |
−0.764080 | + | 0.645122i | \(0.776807\pi\) | |||||||
\(620\) | 5.29086 | + | 9.16404i | 0.212486 | + | 0.368037i | ||||
\(621\) | 0.698463 | + | 3.96118i | 0.0280284 | + | 0.158957i | ||||
\(622\) | 4.34730 | + | 3.64781i | 0.174311 | + | 0.146264i | ||||
\(623\) | 26.5173 | − | 22.2507i | 1.06239 | − | 0.891453i | ||||
\(624\) | 0.868241 | − | 4.92404i | 0.0347575 | − | 0.197119i | ||||
\(625\) | −0.939693 | + | 0.342020i | −0.0375877 | + | 0.0136808i | ||||
\(626\) | −12.8520 | −0.513671 | ||||||||
\(627\) | 3.85756 | + | 8.40014i | 0.154056 | + | 0.335469i | ||||
\(628\) | −4.60401 | −0.183720 | ||||||||
\(629\) | −32.5381 | + | 11.8429i | −1.29738 | + | 0.472207i | ||||
\(630\) | 0.733956 | − | 4.16247i | 0.0292415 | − | 0.165837i | ||||
\(631\) | −7.57398 | + | 6.35532i | −0.301515 | + | 0.253001i | −0.780975 | − | 0.624563i | \(-0.785277\pi\) |
0.479459 | + | 0.877564i | \(0.340833\pi\) | |||||||
\(632\) | 9.88713 | + | 8.29628i | 0.393289 | + | 0.330008i | ||||
\(633\) | −4.26217 | − | 24.1720i | −0.169406 | − | 0.960750i | ||||
\(634\) | 3.44949 | + | 5.97470i | 0.136997 | + | 0.237286i | ||||
\(635\) | 6.89053 | − | 11.9347i | 0.273442 | − | 0.473616i | ||||
\(636\) | −7.42514 | − | 2.70253i | −0.294426 | − | 0.107162i | ||||
\(637\) | −51.0480 | − | 18.5800i | −2.02260 | − | 0.736165i | ||||
\(638\) | 2.85710 | − | 4.94864i | 0.113114 | − | 0.195918i | ||||
\(639\) | 4.59627 | + | 7.96097i | 0.181825 | + | 0.314931i | ||||
\(640\) | 0.173648 | + | 0.984808i | 0.00686405 | + | 0.0389279i | ||||
\(641\) | 27.2572 | + | 22.8715i | 1.07659 | + | 0.903369i | 0.995634 | − | 0.0933479i | \(-0.0297569\pi\) |
0.0809602 | + | 0.996717i | \(0.474201\pi\) | |||||||
\(642\) | −9.19253 | + | 7.71345i | −0.362800 | + | 0.304426i | ||||
\(643\) | 3.34049 | − | 18.9449i | 0.131736 | − | 0.747112i | −0.845341 | − | 0.534227i | \(-0.820603\pi\) |
0.977077 | − | 0.212885i | \(-0.0682861\pi\) | |||||||
\(644\) | −15.9757 | + | 5.81466i | −0.629529 | + | 0.229130i | ||||
\(645\) | −6.45336 | −0.254101 | ||||||||
\(646\) | 13.9385 | − | 3.64781i | 0.548403 | − | 0.143521i | ||||
\(647\) | 4.02229 | 0.158132 | 0.0790662 | − | 0.996869i | \(-0.474806\pi\) | ||||
0.0790662 | + | 0.996869i | \(0.474806\pi\) | |||||||
\(648\) | 0.939693 | − | 0.342020i | 0.0369146 | − | 0.0134358i | ||||
\(649\) | 3.49753 | − | 19.8355i | 0.137290 | − | 0.778611i | ||||
\(650\) | −3.83022 | + | 3.21394i | −0.150234 | + | 0.126061i | ||||
\(651\) | 34.2618 | + | 28.7490i | 1.34282 | + | 1.12676i | ||||
\(652\) | 1.06418 | + | 6.03525i | 0.0416764 | + | 0.236359i | ||||
\(653\) | 0.645430 | + | 1.11792i | 0.0252576 | + | 0.0437475i | 0.878378 | − | 0.477967i | \(-0.158626\pi\) |
−0.853120 | + | 0.521714i | \(0.825293\pi\) | |||||||
\(654\) | −3.29086 | + | 5.69994i | −0.128683 | + | 0.222885i | ||||
\(655\) | −18.3614 | − | 6.68302i | −0.717441 | − | 0.261127i | ||||
\(656\) | −9.17752 | − | 3.34034i | −0.358322 | − | 0.130419i | ||||
\(657\) | −0.283119 | + | 0.490376i | −0.0110455 | + | 0.0191314i | ||||
\(658\) | −18.7815 | − | 32.5306i | −0.732180 | − | 1.26817i | ||||
\(659\) | −8.81150 | − | 49.9725i | −0.343247 | − | 1.94665i | −0.321566 | − | 0.946887i | \(-0.604209\pi\) |
−0.0216811 | − | 0.999765i | \(-0.506902\pi\) | |||||||
\(660\) | 1.62449 | + | 1.36310i | 0.0632330 | + | 0.0530588i | ||||
\(661\) | 31.5149 | − | 26.4441i | 1.22579 | − | 1.02856i | 0.227284 | − | 0.973828i | \(-0.427015\pi\) |
0.998501 | − | 0.0547279i | \(-0.0174291\pi\) | |||||||
\(662\) | 3.71941 | − | 21.0938i | 0.144559 | − | 0.819834i | ||||
\(663\) | −15.5303 | + | 5.65258i | −0.603148 | + | 0.219528i | ||||
\(664\) | 6.82295 | 0.264782 | ||||||||
\(665\) | 10.6552 | − | 15.0299i | 0.413192 | − | 0.582835i | ||||
\(666\) | −10.4757 | −0.405923 | ||||||||
\(667\) | 10.1848 | − | 3.70696i | 0.394357 | − | 0.143534i | ||||
\(668\) | 1.10472 | − | 6.26519i | 0.0427430 | − | 0.242408i | ||||
\(669\) | 6.78699 | − | 5.69496i | 0.262400 | − | 0.220180i | ||||
\(670\) | −2.09833 | − | 1.76070i | −0.0810654 | − | 0.0680220i | ||||
\(671\) | 4.75278 | + | 26.9544i | 0.183479 | + | 1.04056i | ||||
\(672\) | 2.11334 | + | 3.66041i | 0.0815239 | + | 0.141204i | ||||
\(673\) | 4.20708 | − | 7.28688i | 0.162171 | − | 0.280889i | −0.773476 | − | 0.633826i | \(-0.781484\pi\) |
0.935647 | + | 0.352937i | \(0.114817\pi\) | |||||||
\(674\) | −16.8503 | − | 6.13300i | −0.649049 | − | 0.236234i | ||||
\(675\) | −0.939693 | − | 0.342020i | −0.0361688 | − | 0.0131644i | ||||
\(676\) | −6.00000 | + | 10.3923i | −0.230769 | + | 0.399704i | ||||
\(677\) | 5.70843 | + | 9.88728i | 0.219393 | + | 0.379999i | 0.954622 | − | 0.297819i | \(-0.0962591\pi\) |
−0.735230 | + | 0.677818i | \(0.762926\pi\) | |||||||
\(678\) | −0.361844 | − | 2.05212i | −0.0138965 | − | 0.0788112i | ||||
\(679\) | −27.0051 | − | 22.6599i | −1.03636 | − | 0.869608i | ||||
\(680\) | 2.53209 | − | 2.12467i | 0.0971012 | − | 0.0814776i | ||||
\(681\) | −2.56893 | + | 14.5691i | −0.0984414 | + | 0.558289i | ||||
\(682\) | −21.0865 | + | 7.67485i | −0.807443 | + | 0.293885i | ||||
\(683\) | 2.44326 | 0.0934887 | 0.0467443 | − | 0.998907i | \(-0.485115\pi\) | ||||
0.0467443 | + | 0.998907i | \(0.485115\pi\) | |||||||
\(684\) | 4.34002 | + | 0.405223i | 0.165945 | + | 0.0154941i | ||||
\(685\) | −21.6168 | −0.825935 | ||||||||
\(686\) | 15.3503 | − | 5.58705i | 0.586077 | − | 0.213315i | ||||
\(687\) | −0.0145479 | + | 0.0825054i | −0.000555038 | + | 0.00314778i | ||||
\(688\) | 4.94356 | − | 4.14814i | 0.188472 | − | 0.158146i | ||||
\(689\) | 30.2652 | + | 25.3955i | 1.15301 | + | 0.967491i | ||||
\(690\) | 0.698463 | + | 3.96118i | 0.0265900 | + | 0.150800i | ||||
\(691\) | 12.5364 | + | 21.7137i | 0.476908 | + | 0.826029i | 0.999650 | − | 0.0264620i | \(-0.00842411\pi\) |
−0.522742 | + | 0.852491i | \(0.675091\pi\) | |||||||
\(692\) | −7.57785 | + | 13.1252i | −0.288067 | + | 0.498946i | ||||
\(693\) | 8.42262 | + | 3.06558i | 0.319949 | + | 0.116452i | ||||
\(694\) | −11.0770 | − | 4.03169i | −0.420476 | − | 0.153041i | ||||
\(695\) | −4.54189 | + | 7.86678i | −0.172284 | + | 0.298404i | ||||
\(696\) | −1.34730 | − | 2.33359i | −0.0510691 | − | 0.0884543i | ||||
\(697\) | 5.60576 | + | 31.7919i | 0.212333 | + | 1.20420i | ||||
\(698\) | −0.184793 | − | 0.155059i | −0.00699450 | − | 0.00586908i | ||||
\(699\) | 1.43376 | − | 1.20307i | 0.0542299 | − | 0.0455043i | ||||
\(700\) | 0.733956 | − | 4.16247i | 0.0277409 | − | 0.157327i | ||||
\(701\) | 44.3063 | − | 16.1262i | 1.67343 | − | 0.609078i | 0.681041 | − | 0.732245i | \(-0.261527\pi\) |
0.992386 | + | 0.123167i | \(0.0393051\pi\) | |||||||
\(702\) | −5.00000 | −0.188713 | ||||||||
\(703\) | −41.2708 | − | 19.5388i | −1.55656 | − | 0.736919i | ||||
\(704\) | −2.12061 | −0.0799237 | ||||||||
\(705\) | −8.35117 | + | 3.03958i | −0.314523 | + | 0.114477i | ||||
\(706\) | 2.98040 | − | 16.9027i | 0.112169 | − | 0.636141i | ||||
\(707\) | 0.686852 | − | 0.576337i | 0.0258317 | − | 0.0216754i | ||||
\(708\) | −7.27584 | − | 6.10516i | −0.273443 | − | 0.229446i | ||||
\(709\) | 2.36865 | + | 13.4333i | 0.0889566 | + | 0.504498i | 0.996432 | + | 0.0843937i | \(0.0268953\pi\) |
−0.907476 | + | 0.420104i | \(0.861994\pi\) | |||||||
\(710\) | 4.59627 | + | 7.96097i | 0.172495 | + | 0.298770i | ||||
\(711\) | 6.45336 | − | 11.1776i | 0.242020 | − | 0.419191i | ||||
\(712\) | 7.69594 | + | 2.80109i | 0.288417 | + | 0.104975i | ||||
\(713\) | −39.9959 | − | 14.5573i | −1.49786 | − | 0.545176i | ||||
\(714\) | 6.98545 | − | 12.0992i | 0.261424 | − | 0.452800i | ||||
\(715\) | −5.30154 | − | 9.18253i | −0.198266 | − | 0.343407i | ||||
\(716\) | −0.336619 | − | 1.90906i | −0.0125800 | − | 0.0713449i | ||||
\(717\) | −19.5594 | − | 16.4123i | −0.730460 | − | 0.612929i | ||||
\(718\) | −20.9067 | + | 17.5428i | −0.780232 | + | 0.654692i | ||||
\(719\) | 6.47472 | − | 36.7200i | 0.241466 | − | 1.36942i | −0.587092 | − | 0.809520i | \(-0.699727\pi\) |
0.828558 | − | 0.559903i | \(-0.189162\pi\) | |||||||
\(720\) | 0.939693 | − | 0.342020i | 0.0350203 | − | 0.0127463i | ||||
\(721\) | 40.6432 | 1.51363 | ||||||||
\(722\) | 16.3425 | + | 9.69129i | 0.608207 | + | 0.360672i | ||||
\(723\) | −9.90673 | −0.368435 | ||||||||
\(724\) | −11.3969 | + | 4.14814i | −0.423563 | + | 0.154164i | ||||
\(725\) | −0.467911 | + | 2.65366i | −0.0173778 | + | 0.0985543i | ||||
\(726\) | 4.98158 | − | 4.18004i | 0.184884 | − | 0.155136i | ||||
\(727\) | −29.2080 | − | 24.5084i | −1.08327 | − | 0.908968i | −0.0870775 | − | 0.996202i | \(-0.527753\pi\) |
−0.996188 | + | 0.0872340i | \(0.972197\pi\) | |||||||
\(728\) | −3.66978 | − | 20.8123i | −0.136011 | − | 0.771357i | ||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | −0.283119 | + | 0.490376i | −0.0104787 | + | 0.0181496i | ||||
\(731\) | −20.0446 | − | 7.29563i | −0.741375 | − | 0.269839i | ||||
\(732\) | 12.1284 | + | 4.41436i | 0.448277 | + | 0.163159i | ||||
\(733\) | 15.5744 | − | 26.9757i | 0.575255 | − | 0.996371i | −0.420759 | − | 0.907173i | \(-0.638236\pi\) |
0.996014 | − | 0.0891987i | \(-0.0284306\pi\) | |||||||
\(734\) | −0.413534 | − | 0.716261i | −0.0152638 | − | 0.0264377i | ||||
\(735\) | −1.88666 | − | 10.6998i | −0.0695905 | − | 0.394667i | ||||
\(736\) | −3.08125 | − | 2.58548i | −0.113576 | − | 0.0953020i | ||||
\(737\) | 4.44974 | − | 3.73378i | 0.163908 | − | 0.137535i | ||||
\(738\) | −1.69594 | + | 9.61814i | −0.0624283 | + | 0.354048i | ||||
\(739\) | 0.284463 | − | 0.103536i | 0.0104641 | − | 0.00380863i | −0.336783 | − | 0.941582i | \(-0.609339\pi\) |
0.347247 | + | 0.937774i | \(0.387117\pi\) | |||||||
\(740\) | −10.4757 | −0.385093 | ||||||||
\(741\) | −19.6985 | − | 9.32580i | −0.723641 | − | 0.342592i | ||||
\(742\) | −33.3979 | −1.22607 | ||||||||
\(743\) | −40.4552 | + | 14.7245i | −1.48416 | + | 0.540189i | −0.951904 | − | 0.306397i | \(-0.900877\pi\) |
−0.532253 | + | 0.846586i | \(0.678654\pi\) | |||||||
\(744\) | −1.83750 | + | 10.4210i | −0.0673659 | + | 0.382051i | ||||
\(745\) | 12.3550 | − | 10.3671i | 0.452654 | − | 0.379821i | ||||
\(746\) | −11.8460 | − | 9.93993i | −0.433711 | − | 0.363927i | ||||
\(747\) | −1.18479 | − | 6.71929i | −0.0433493 | − | 0.245846i | ||||
\(748\) | 3.50475 | + | 6.07040i | 0.128146 | + | 0.221956i | ||||
\(749\) | −25.3601 | + | 43.9250i | −0.926638 | + | 1.60498i | ||||
\(750\) | −0.939693 | − | 0.342020i | −0.0343127 | − | 0.0124888i | ||||
\(751\) | −40.2918 | − | 14.6650i | −1.47027 | − | 0.535134i | −0.522095 | − | 0.852887i | \(-0.674849\pi\) |
−0.948173 | + | 0.317753i | \(0.897072\pi\) | |||||||
\(752\) | 4.44356 | − | 7.69648i | 0.162040 | − | 0.280662i | ||||
\(753\) | 2.70439 | + | 4.68415i | 0.0985536 | + | 0.170700i | ||||
\(754\) | 2.33956 | + | 13.2683i | 0.0852016 | + | 0.483202i | ||||
\(755\) | 15.1138 | + | 12.6820i | 0.550048 | + | 0.461545i | ||||
\(756\) | 3.23783 | − | 2.71686i | 0.117759 | − | 0.0988112i | ||||
\(757\) | −0.00134417 | + | 0.00762319i | −4.88548e−5 | + | 0.000277069i | −0.984832 | − | 0.173510i | \(-0.944489\pi\) |
0.984783 | + | 0.173787i | \(0.0556003\pi\) | |||||||
\(758\) | 14.3785 | − | 5.23335i | 0.522251 | − | 0.190084i | ||||
\(759\) | −8.52972 | −0.309609 | ||||||||
\(760\) | 4.34002 | + | 0.405223i | 0.157429 | + | 0.0146990i | ||||
\(761\) | −31.3233 | −1.13547 | −0.567734 | − | 0.823212i | \(-0.692180\pi\) | ||||
−0.567734 | + | 0.823212i | \(0.692180\pi\) | |||||||
\(762\) | 12.9500 | − | 4.71340i | 0.469128 | − | 0.170748i | ||||
\(763\) | −4.83069 | + | 27.3962i | −0.174883 | + | 0.991809i | ||||
\(764\) | 5.00774 | − | 4.20199i | 0.181174 | − | 0.152023i | ||||
\(765\) | −2.53209 | − | 2.12467i | −0.0915479 | − | 0.0768178i | ||||
\(766\) | 2.15405 | + | 12.2162i | 0.0778289 | + | 0.441390i | ||||
\(767\) | 23.7449 | + | 41.1273i | 0.857377 | + | 1.48502i | ||||
\(768\) | −0.500000 | + | 0.866025i | −0.0180422 | + | 0.0312500i | ||||
\(769\) | 10.6694 | + | 3.88333i | 0.384747 | + | 0.140037i | 0.527150 | − | 0.849772i | \(-0.323261\pi\) |
−0.142403 | + | 0.989809i | \(0.545483\pi\) | |||||||
\(770\) | 8.42262 | + | 3.06558i | 0.303530 | + | 0.110476i | ||||
\(771\) | 0.517541 | − | 0.896407i | 0.0186388 | − | 0.0322833i | ||||
\(772\) | −1.30541 | − | 2.26103i | −0.0469826 | − | 0.0813763i | ||||
\(773\) | −4.44175 | − | 25.1904i | −0.159759 | − | 0.906037i | −0.954305 | − | 0.298833i | \(-0.903402\pi\) |
0.794547 | − | 0.607203i | \(-0.207709\pi\) | |||||||
\(774\) | −4.94356 | − | 4.14814i | −0.177693 | − | 0.149102i | ||||
\(775\) | 8.10607 | − | 6.80180i | 0.291179 | − | 0.244328i | ||||
\(776\) | 1.44831 | − | 8.21378i | 0.0519913 | − | 0.294857i | ||||
\(777\) | −41.6070 | + | 15.1437i | −1.49264 | + | 0.543278i | ||||
\(778\) | 17.2763 | 0.619386 | ||||||||
\(779\) | −24.6208 | + | 34.7293i | −0.882133 | + | 1.24431i | ||||
\(780\) | −5.00000 | −0.179029 | ||||||||
\(781\) | −18.3182 | + | 6.66728i | −0.655477 | + | 0.238574i | ||||
\(782\) | −2.30871 | + | 13.0933i | −0.0825591 | + | 0.468216i | ||||
\(783\) | −2.06418 | + | 1.73205i | −0.0737677 | + | 0.0618984i | ||||
\(784\) | 8.32295 | + | 6.98378i | 0.297248 | + | 0.249421i | ||||
\(785\) | 0.799478 | + | 4.53406i | 0.0285346 | + | 0.161828i | ||||
\(786\) | −9.76991 | − | 16.9220i | −0.348481 | − | 0.603587i | ||||
\(787\) | 18.3105 | − | 31.7146i | 0.652697 | − | 1.13051i | −0.329768 | − | 0.944062i | \(-0.606971\pi\) |
0.982466 | − | 0.186443i | \(-0.0596960\pi\) | |||||||
\(788\) | 0.270792 | + | 0.0985603i | 0.00964657 | + | 0.00351107i | ||||
\(789\) | 15.9636 | + | 5.81029i | 0.568320 | + | 0.206852i | ||||
\(790\) | 6.45336 | − | 11.1776i | 0.229600 | − | 0.397679i | ||||
\(791\) | −4.40373 | − | 7.62749i | −0.156579 | − | 0.271202i | ||||
\(792\) | 0.368241 | + | 2.08840i | 0.0130849 | + | 0.0742080i | ||||
\(793\) | −49.4356 | − | 41.4814i | −1.75551 | − | 1.47305i | ||||
\(794\) | 1.43969 | − | 1.20805i | 0.0510928 | − | 0.0428719i | ||||
\(795\) | −1.37211 | + | 7.78163i | −0.0486638 | + | 0.275986i | ||||
\(796\) | −8.79561 | + | 3.20134i | −0.311752 | + | 0.113468i | ||||
\(797\) | 35.9840 | 1.27462 | 0.637310 | − | 0.770608i | \(-0.280047\pi\) | ||||
0.637310 | + | 0.770608i | \(0.280047\pi\) | |||||||
\(798\) | 17.8234 | − | 4.66452i | 0.630942 | − | 0.165122i | ||||
\(799\) | −29.3756 | −1.03923 | ||||||||
\(800\) | 0.939693 | − | 0.342020i | 0.0332232 | − | 0.0120922i | ||||
\(801\) | 1.42215 | − | 8.06542i | 0.0502493 | − | 0.284978i | ||||
\(802\) | −22.0455 | + | 18.4984i | −0.778454 | + | 0.653201i | ||||
\(803\) | −0.919844 | − | 0.771841i | −0.0324606 | − | 0.0272377i | ||||
\(804\) | −0.475652 | − | 2.69756i | −0.0167749 | − | 0.0951355i | ||||
\(805\) | 8.50047 | + | 14.7232i | 0.299602 | + | 0.518926i | ||||
\(806\) | 26.4543 | − | 45.8202i | 0.931813 | − | 1.61395i | ||||
\(807\) | 0.972659 | + | 0.354019i | 0.0342392 | + | 0.0124621i | ||||
\(808\) | 0.199340 | + | 0.0725540i | 0.00701277 | + | 0.00255244i | ||||
\(809\) | −1.05169 | + | 1.82158i | −0.0369754 | + | 0.0640433i | −0.883921 | − | 0.467636i | \(-0.845106\pi\) |
0.846945 | + | 0.531680i | \(0.178439\pi\) | |||||||
\(810\) | −0.500000 | − | 0.866025i | −0.0175682 | − | 0.0304290i | ||||
\(811\) | −0.985614 | − | 5.58970i | −0.0346096 | − | 0.196281i | 0.962601 | − | 0.270924i | \(-0.0873293\pi\) |
−0.997210 | + | 0.0746434i | \(0.976218\pi\) | |||||||
\(812\) | −8.72462 | − | 7.32083i | −0.306174 | − | 0.256911i | ||||
\(813\) | 13.1702 | − | 11.0511i | 0.461901 | − | 0.387581i | ||||
\(814\) | 3.85756 | − | 21.8773i | 0.135208 | − | 0.766800i | ||||
\(815\) | 5.75877 | − | 2.09602i | 0.201721 | − | 0.0734204i | ||||
\(816\) | 3.30541 | 0.115712 | ||||||||
\(817\) | −11.7392 | − | 25.5629i | −0.410702 | − | 0.894334i | ||||
\(818\) | 31.6604 | 1.10698 | ||||||||
\(819\) | −19.8589 | + | 7.22805i | −0.693926 | + | 0.252569i | ||||
\(820\) | −1.69594 | + | 9.61814i | −0.0592247 | + | 0.335880i | ||||
\(821\) | 14.4388 | − | 12.1156i | 0.503918 | − | 0.422838i | −0.355065 | − | 0.934842i | \(-0.615541\pi\) |
0.858983 | + | 0.512004i | \(0.171097\pi\) | |||||||
\(822\) | −16.5594 | − | 13.8950i | −0.577576 | − | 0.484644i | ||||
\(823\) | 0.558248 | + | 3.16598i | 0.0194593 | + | 0.110359i | 0.992990 | − | 0.118196i | \(-0.0377110\pi\) |
−0.973531 | + | 0.228555i | \(0.926600\pi\) | |||||||
\(824\) | 4.80793 | + | 8.32759i | 0.167492 | + | 0.290105i | ||||
\(825\) | 1.06031 | − | 1.83651i | 0.0369152 | − | 0.0639389i | ||||
\(826\) | −37.7237 | − | 13.7303i | −1.31258 | − | 0.477739i | ||||
\(827\) | −14.4064 | − | 5.24351i | −0.500960 | − | 0.182335i | 0.0791655 | − | 0.996861i | \(-0.474774\pi\) |
−0.580126 | + | 0.814527i | \(0.696997\pi\) | |||||||
\(828\) | −2.01114 | + | 3.48340i | −0.0698921 | + | 0.121057i | ||||
\(829\) | −7.98545 | − | 13.8312i | −0.277346 | − | 0.480378i | 0.693378 | − | 0.720574i | \(-0.256122\pi\) |
−0.970724 | + | 0.240196i | \(0.922788\pi\) | |||||||
\(830\) | −1.18479 | − | 6.71929i | −0.0411247 | − | 0.233230i | ||||
\(831\) | 0.169778 | + | 0.142460i | 0.00588953 | + | 0.00494190i | ||||
\(832\) | 3.83022 | − | 3.21394i | 0.132789 | − | 0.111423i | ||||
\(833\) | 6.23618 | − | 35.3671i | 0.216071 | − | 1.22540i | ||||
\(834\) | −8.53596 | + | 3.10684i | −0.295576 | + | 0.107581i | ||||
\(835\) | −6.36184 | −0.220161 | ||||||||
\(836\) | −2.44444 | + | 8.91447i | −0.0845427 | + | 0.308314i | ||||
\(837\) | 10.5817 | 0.365758 | ||||||||
\(838\) | 2.86571 | − | 1.04303i | 0.0989945 | − | 0.0360310i | ||||
\(839\) | −0.294978 | + | 1.67290i | −0.0101838 | + | 0.0577551i | −0.989476 | − | 0.144696i | \(-0.953780\pi\) |
0.979292 | + | 0.202451i | \(0.0648907\pi\) | |||||||
\(840\) | 3.23783 | − | 2.71686i | 0.111716 | − | 0.0937405i | ||||
\(841\) | −16.6532 | − | 13.9737i | −0.574247 | − | 0.481851i | ||||
\(842\) | 0.837496 | + | 4.74968i | 0.0288620 | + | 0.163685i | ||||
\(843\) | 1.25624 | + | 2.17588i | 0.0432674 | + | 0.0749412i | ||||
\(844\) | 12.2724 | − | 21.2565i | 0.422435 | − | 0.731679i | ||||
\(845\) | 11.2763 | + | 4.10424i | 0.387917 | + | 0.141190i | ||||
\(846\) | −8.35117 | − | 3.03958i | −0.287119 | − | 0.104503i | ||||
\(847\) | 13.7430 | − | 23.8036i | 0.472216 | − | 0.817903i | ||||
\(848\) | −3.95084 | − | 6.84305i | −0.135672 | − | 0.234991i | ||||
\(849\) | 0.0983261 | + | 0.557635i | 0.00337454 | + | 0.0191380i | ||||
\(850\) | −2.53209 | − | 2.12467i | −0.0868499 | − | 0.0728757i | ||||
\(851\) | 32.2781 | − | 27.0846i | 1.10648 | − | 0.928447i | ||||
\(852\) | −1.59627 | + | 9.05288i | −0.0546872 | + | 0.310146i | ||||
\(853\) | −33.8987 | + | 12.3381i | −1.16067 | + | 0.422450i | −0.849337 | − | 0.527851i | \(-0.822998\pi\) |
−0.311334 | + | 0.950301i | \(0.600776\pi\) | |||||||
\(854\) | 54.5526 | 1.86675 | ||||||||
\(855\) | −0.354570 | − | 4.34445i | −0.0121260 | − | 0.148577i | ||||
\(856\) | −12.0000 | −0.410152 | ||||||||
\(857\) | 18.8033 | − | 6.84386i | 0.642310 | − | 0.233782i | −0.000270354 | − | 1.00000i | \(-0.500086\pi\) |
0.642580 | + | 0.766218i | \(0.277864\pi\) | |||||||
\(858\) | 1.84120 | − | 10.4420i | 0.0628577 | − | 0.356484i | ||||
\(859\) | 4.82366 | − | 4.04753i | 0.164581 | − | 0.138100i | −0.556777 | − | 0.830662i | \(-0.687962\pi\) |
0.721359 | + | 0.692562i | \(0.243518\pi\) | |||||||
\(860\) | −4.94356 | − | 4.14814i | −0.168574 | − | 0.141450i | ||||
\(861\) | 7.16819 | + | 40.6528i | 0.244291 | + | 1.38544i | ||||
\(862\) | 18.2986 | + | 31.6941i | 0.623253 | + | 1.07951i | ||||
\(863\) | 0.0876485 | − | 0.151812i | 0.00298359 | − | 0.00516773i | −0.864530 | − | 0.502582i | \(-0.832384\pi\) |
0.867513 | + | 0.497414i | \(0.165717\pi\) | |||||||
\(864\) | 0.939693 | + | 0.342020i | 0.0319690 | + | 0.0116358i | ||||
\(865\) | 14.2417 | + | 5.18355i | 0.484232 | + | 0.176246i | ||||
\(866\) | −8.14290 | + | 14.1039i | −0.276707 | + | 0.479271i | ||||
\(867\) | 3.03714 | + | 5.26048i | 0.103147 | + | 0.178655i | ||||
\(868\) | 7.76651 | + | 44.0461i | 0.263613 | + | 1.49502i | ||||
\(869\) | 20.9668 | + | 17.5932i | 0.711249 | + | 0.596809i | ||||
\(870\) | −2.06418 | + | 1.73205i | −0.0699822 | + | 0.0587220i | ||||
\(871\) | −2.37826 | + | 13.4878i | −0.0805842 | + | 0.457016i | ||||
\(872\) | −6.18479 | + | 2.25108i | −0.209444 | + | 0.0762312i | ||||
\(873\) | −8.34049 | −0.282283 | ||||||||
\(874\) | −14.4204 | + | 9.97244i | −0.487777 | + | 0.337323i | ||||
\(875\) | −4.22668 | −0.142888 | ||||||||
\(876\) | −0.532089 | + | 0.193665i | −0.0179776 | + | 0.00654332i | ||||
\(877\) | −7.82816 | + | 44.3957i | −0.264338 | + | 1.49914i | 0.506575 | + | 0.862196i | \(0.330912\pi\) |
−0.770913 | + | 0.636941i | \(0.780200\pi\) | |||||||
\(878\) | −9.75877 | + | 8.18858i | −0.329343 | + | 0.276351i | ||||
\(879\) | 24.0462 | + | 20.1772i | 0.811059 | + | 0.680559i | ||||
\(880\) | 0.368241 | + | 2.08840i | 0.0124134 | + | 0.0703999i | ||||
\(881\) | −21.5822 | − | 37.3814i | −0.727122 | − | 1.25941i | −0.958094 | − | 0.286452i | \(-0.907524\pi\) |
0.230972 | − | 0.972960i | \(-0.425809\pi\) | |||||||
\(882\) | 5.43242 | − | 9.40923i | 0.182919 | − | 0.316825i | ||||
\(883\) | −5.70233 | − | 2.07548i | −0.191899 | − | 0.0698455i | 0.244283 | − | 0.969704i | \(-0.421447\pi\) |
−0.436182 | + | 0.899858i | \(0.643670\pi\) | |||||||
\(884\) | −15.5303 | − | 5.65258i | −0.522342 | − | 0.190117i | ||||
\(885\) | −4.74897 | + | 8.22546i | −0.159635 | + | 0.276496i | ||||
\(886\) | −7.23442 | − | 12.5304i | −0.243045 | − | 0.420967i | ||||
\(887\) | −3.87362 | − | 21.9684i | −0.130063 | − | 0.737626i | −0.978171 | − | 0.207802i | \(-0.933369\pi\) |
0.848108 | − | 0.529824i | \(-0.177742\pi\) | |||||||
\(888\) | −8.02481 | − | 6.73362i | −0.269295 | − | 0.225965i | ||||
\(889\) | 44.6207 | − | 37.4412i | 1.49653 | − | 1.25574i | ||||
\(890\) | 1.42215 | − | 8.06542i | 0.0476706 | − | 0.270354i | ||||
\(891\) | 1.99273 | − | 0.725293i | 0.0667588 | − | 0.0242982i | ||||
\(892\) | 8.85978 | 0.296648 | ||||||||
\(893\) | −27.2317 | − | 27.5513i | −0.911275 | − | 0.921968i | ||||
\(894\) | 16.1284 | 0.539413 | ||||||||
\(895\) | −1.82160 | + | 0.663010i | −0.0608895 | + | 0.0221620i | ||||
\(896\) | −0.733956 | + | 4.16247i | −0.0245197 | + | 0.139058i | ||||
\(897\) | 15.4063 | − | 12.9274i | 0.514400 | − | 0.431633i | ||||
\(898\) | 11.6099 | + | 9.74189i | 0.387429 | + | 0.325091i | ||||
\(899\) | −4.95130 | − | 28.0802i | −0.165135 | − | 0.936528i | ||||
\(900\) | −0.500000 | − | 0.866025i | −0.0166667 | − | 0.0288675i | ||||
\(901\) | −13.0591 | + | 22.6191i | −0.435063 | + | 0.753550i | ||||
\(902\) | −19.4620 | − | 7.08358i | −0.648013 | − | 0.235857i | ||||
\(903\) | −25.6313 | − | 9.32905i | −0.852958 | − | 0.310451i | ||||
\(904\) | 1.04189 | − | 1.80460i | 0.0346527 | − | 0.0600203i | ||||
\(905\) | 6.06418 | + | 10.5035i | 0.201580 | + | 0.349147i | ||||
\(906\) | 3.42602 | + | 19.4299i | 0.113822 | + | 0.645516i | ||||
\(907\) | −10.6340 | − | 8.92302i | −0.353097 | − | 0.296284i | 0.448935 | − | 0.893564i | \(-0.351803\pi\) |
−0.802032 | + | 0.597281i | \(0.796248\pi\) | |||||||
\(908\) | −11.3327 | + | 9.50931i | −0.376090 | + | 0.315577i | ||||
\(909\) | 0.0368366 | − | 0.208911i | 0.00122179 | − | 0.00692914i | ||||
\(910\) | −19.8589 | + | 7.22805i | −0.658316 | + | 0.239608i | ||||
\(911\) | −0.251334 | −0.00832708 | −0.00416354 | − | 0.999991i | \(-0.501325\pi\) | ||||
−0.00416354 | + | 0.999991i | \(0.501325\pi\) | |||||||
\(912\) | 3.06418 | + | 3.10013i | 0.101465 | + | 0.102656i | ||||
\(913\) | 14.4688 | 0.478849 | ||||||||
\(914\) | 10.9290 | − | 3.97784i | 0.361500 | − | 0.131575i | ||||
\(915\) | 2.24123 | − | 12.7106i | 0.0740928 | − | 0.420201i | ||||
\(916\) | −0.0641778 | + | 0.0538515i | −0.00212049 | + | 0.00177931i | ||||
\(917\) | −63.2666 | − | 53.0870i | −2.08925 | − | 1.75309i | ||||
\(918\) | −0.573978 | − | 3.25519i | −0.0189441 | − | 0.107437i | ||||
\(919\) | 3.63547 | + | 6.29681i | 0.119923 | + | 0.207713i | 0.919737 | − | 0.392535i | \(-0.128402\pi\) |
−0.799814 | + | 0.600248i | \(0.795069\pi\) | |||||||
\(920\) | −2.01114 | + | 3.48340i | −0.0663055 | + | 0.114844i | ||||
\(921\) | 12.4902 | + | 4.54606i | 0.411566 | + | 0.149798i | ||||
\(922\) | −19.9513 | − | 7.26168i | −0.657061 | − | 0.239151i | ||||
\(923\) | 22.9813 | − | 39.8048i | 0.756440 | − | 1.31019i | ||||
\(924\) | 4.48158 | + | 7.76233i | 0.147433 | + | 0.255362i | ||||
\(925\) | 1.81908 | + | 10.3165i | 0.0598109 | + | 0.339205i | ||||
\(926\) | 24.2481 | + | 20.3466i | 0.796842 | + | 0.668630i | ||||
\(927\) | 7.36618 | − | 6.18096i | 0.241937 | − | 0.203009i | ||||
\(928\) | 0.467911 | − | 2.65366i | 0.0153599 | − | 0.0871105i | ||||
\(929\) | 20.0360 | − | 7.29249i | 0.657359 | − | 0.239259i | 0.00826301 | − | 0.999966i | \(-0.497370\pi\) |
0.649095 | + | 0.760707i | \(0.275148\pi\) | |||||||
\(930\) | 10.5817 | 0.346988 | ||||||||
\(931\) | 38.9518 | − | 26.9371i | 1.27659 | − | 0.882829i | ||||
\(932\) | 1.87164 | 0.0613078 | ||||||||
\(933\) | 5.33275 | − | 1.94096i | 0.174586 | − | 0.0635442i | ||||
\(934\) | −2.89393 | + | 16.4123i | −0.0946924 | + | 0.537027i | ||||
\(935\) | 5.36959 | − | 4.50562i | 0.175604 | − | 0.147349i | ||||
\(936\) | −3.83022 | − | 3.21394i | −0.125195 | − | 0.105051i | ||||
\(937\) | −2.09234 | − | 11.8662i | −0.0683538 | − | 0.387653i | −0.999722 | − | 0.0235751i | \(-0.992495\pi\) |
0.931368 | − | 0.364078i | \(-0.118616\pi\) | |||||||
\(938\) | −5.78880 | − | 10.0265i | −0.189011 | − | 0.327377i | ||||
\(939\) | −6.42602 | + | 11.1302i | −0.209705 | + | 0.363220i | ||||
\(940\) | −8.35117 | − | 3.03958i | −0.272385 | − | 0.0991400i | ||||
\(941\) | 18.3310 | + | 6.67194i | 0.597573 | + | 0.217499i | 0.623057 | − | 0.782176i | \(-0.285890\pi\) |
−0.0254838 | + | 0.999675i | \(0.508113\pi\) | |||||||
\(942\) | −2.30200 | + | 3.98719i | −0.0750033 | + | 0.129910i | ||||
\(943\) | −19.6419 | − | 34.0207i | −0.639627 | − | 1.10787i | ||||
\(944\) | −1.64930 | − | 9.35365i | −0.0536801 | − | 0.304435i | ||||
\(945\) | −3.23783 | − | 2.71686i | −0.105326 | − | 0.0883794i | ||||
\(946\) | 10.4834 | − | 8.79661i | 0.340844 | − | 0.286002i | ||||
\(947\) | 4.50744 | − | 25.5629i | 0.146472 | − | 0.830684i | −0.819701 | − | 0.572791i | \(-0.805861\pi\) |
0.966173 | − | 0.257893i | \(-0.0830282\pi\) | |||||||
\(948\) | 12.1284 | − | 4.41436i | 0.393911 | − | 0.143372i | ||||
\(949\) | 2.83119 | 0.0919042 | ||||||||
\(950\) | −0.354570 | − | 4.34445i | −0.0115038 | − | 0.140953i | ||||
\(951\) | 6.89899 | 0.223715 | ||||||||
\(952\) | 13.1284 | − | 4.77833i | 0.425492 | − | 0.154867i | ||||
\(953\) | 3.43107 | − | 19.4586i | 0.111143 | − | 0.630326i | −0.877444 | − | 0.479679i | \(-0.840753\pi\) |
0.988588 | − | 0.150647i | \(-0.0481357\pi\) | |||||||
\(954\) | −6.05303 | + | 5.07910i | −0.195974 | + | 0.164442i | ||||
\(955\) | −5.00774 | − | 4.20199i | −0.162047 | − | 0.135973i | ||||
\(956\) | −4.43376 | − | 25.1451i | −0.143398 | − | 0.813251i | ||||
\(957\) | −2.85710 | − | 4.94864i | −0.0923568 | − | 0.159967i | ||||
\(958\) | −2.38919 | + | 4.13819i | −0.0771911 | + | 0.133699i | ||||
\(959\) | −85.8572 | − | 31.2495i | −2.77247 | − | 1.00910i | ||||
\(960\) | 0.939693 | + | 0.342020i | 0.0303284 | + | 0.0110387i | ||||
\(961\) | −40.4864 | + | 70.1245i | −1.30601 | + | 2.26208i | ||||
\(962\) | 26.1891 | + | 45.3609i | 0.844371 | + | 1.46249i | ||||
\(963\) | 2.08378 | + | 11.8177i | 0.0671488 | + | 0.380820i | ||||
\(964\) | −7.58899 | − | 6.36792i | −0.244425 | − | 0.205097i | ||||
\(965\) | −2.00000 | + | 1.67820i | −0.0643823 | + | 0.0540231i | ||||
\(966\) | −2.95218 | + | 16.7427i | −0.0949849 | + | 0.538686i | ||||
\(967\) | −4.39868 | + | 1.60099i | −0.141452 | + | 0.0514843i | −0.411776 | − | 0.911285i | \(-0.635091\pi\) |
0.270324 | + | 0.962769i | \(0.412869\pi\) | |||||||
\(968\) | 6.50299 | 0.209014 | ||||||||
\(969\) | 3.81016 | − | 13.8950i | 0.122400 | − | 0.446372i | ||||
\(970\) | −8.34049 | −0.267797 | ||||||||
\(971\) | −5.86871 | + | 2.13603i | −0.188336 | + | 0.0685486i | −0.434466 | − | 0.900688i | \(-0.643063\pi\) |
0.246131 | + | 0.969237i | \(0.420841\pi\) | |||||||
\(972\) | 0.173648 | − | 0.984808i | 0.00556977 | − | 0.0315877i | ||||
\(973\) | −29.4117 | + | 24.6793i | −0.942896 | + | 0.791183i | ||||
\(974\) | −4.67159 | − | 3.91993i | −0.149687 | − | 0.125603i | ||||
\(975\) | 0.868241 | + | 4.92404i | 0.0278060 | + | 0.157695i | ||||
\(976\) | 6.45336 | + | 11.1776i | 0.206567 | + | 0.357785i | ||||
\(977\) | 5.12061 | − | 8.86916i | 0.163823 | − | 0.283750i | −0.772414 | − | 0.635120i | \(-0.780951\pi\) |
0.936237 | + | 0.351370i | \(0.114284\pi\) | |||||||
\(978\) | 5.75877 | + | 2.09602i | 0.184145 | + | 0.0670234i | ||||
\(979\) | 16.3201 | + | 5.94004i | 0.521593 | + | 0.189844i | ||||
\(980\) | 5.43242 | − | 9.40923i | 0.173532 | − | 0.300567i | ||||
\(981\) | 3.29086 | + | 5.69994i | 0.105069 | + | 0.181985i | ||||
\(982\) | 1.99613 | + | 11.3206i | 0.0636991 | + | 0.361255i | ||||
\(983\) | 8.47044 | + | 7.10754i | 0.270165 | + | 0.226695i | 0.767797 | − | 0.640693i | \(-0.221353\pi\) |
−0.497632 | + | 0.867388i | \(0.665797\pi\) | |||||||
\(984\) | −7.48158 | + | 6.27779i | −0.238504 | + | 0.200129i | ||||
\(985\) | 0.0500404 | − | 0.283793i | 0.00159442 | − | 0.00904240i | ||||
\(986\) | −8.36959 | + | 3.04628i | −0.266542 | + | 0.0970133i | ||||
\(987\) | −37.5631 | −1.19565 | ||||||||
\(988\) | −9.09539 | − | 19.8059i | −0.289363 | − | 0.630110i | ||||
\(989\) | 25.9573 | 0.825394 | ||||||||
\(990\) | 1.99273 | − | 0.725293i | 0.0633330 | − | 0.0230513i | ||||
\(991\) | 5.84255 | − | 33.1347i | 0.185595 | − | 1.05256i | −0.739594 | − | 0.673053i | \(-0.764983\pi\) |
0.925189 | − | 0.379507i | \(-0.123906\pi\) | |||||||
\(992\) | −8.10607 | + | 6.80180i | −0.257368 | + | 0.215957i | ||||
\(993\) | −16.4081 | − | 13.7680i | −0.520694 | − | 0.436914i | ||||
\(994\) | 6.74691 | + | 38.2636i | 0.213999 | + | 1.21365i | ||||
\(995\) | 4.68004 | + | 8.10608i | 0.148367 | + | 0.256980i | ||||
\(996\) | 3.41147 | − | 5.90885i | 0.108097 | − | 0.187229i | ||||
\(997\) | 24.1844 | + | 8.80240i | 0.765927 | + | 0.278775i | 0.695292 | − | 0.718728i | \(-0.255275\pi\) |
0.0706353 | + | 0.997502i | \(0.477497\pi\) | |||||||
\(998\) | −37.6724 | − | 13.7116i | −1.19250 | − | 0.434034i | ||||
\(999\) | −5.23783 | + | 9.07218i | −0.165717 | + | 0.287031i |
(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 | 570.2.u.b.271.1 | yes | 6 | |
19.4 | even | 9 | inner | 570.2.u.b.61.1 | ✓ | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.u.b.61.1 | ✓ | 6 | 19.4 | even | 9 | inner | |
570.2.u.b.271.1 | yes | 6 | 1.1 | even | 1 | trivial |