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 | 481.1 | ||
Root | \(0.939693 + 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.481 |
Dual form | 570.2.u.b.301.1 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | + | 0.642788i | −0.541675 | + | 0.454519i | ||||
\(3\) | −0.939693 | − | 0.342020i | −0.542532 | − | 0.197465i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −0.173648 | − | 0.984808i | −0.0776578 | − | 0.440419i | ||||
\(6\) | 0.939693 | − | 0.342020i | 0.383628 | − | 0.139629i | ||||
\(7\) | 0.705737 | − | 1.22237i | 0.266744 | − | 0.462013i | −0.701275 | − | 0.712890i | \(-0.747386\pi\) |
0.968019 | + | 0.250877i | \(0.0807190\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 0.766044 | + | 0.642788i | 0.255348 | + | 0.214263i | ||||
\(10\) | 0.766044 | + | 0.642788i | 0.242245 | + | 0.203267i | ||||
\(11\) | 2.76604 | + | 4.79093i | 0.833994 | + | 1.44452i | 0.894847 | + | 0.446373i | \(0.147284\pi\) |
−0.0608533 | + | 0.998147i | \(0.519382\pi\) | |||||||
\(12\) | −0.500000 | + | 0.866025i | −0.144338 | + | 0.250000i | ||||
\(13\) | −4.69846 | + | 1.71010i | −1.30312 | + | 0.474297i | −0.898011 | − | 0.439972i | \(-0.854988\pi\) |
−0.405108 | + | 0.914269i | \(0.632766\pi\) | |||||||
\(14\) | 0.245100 | + | 1.39003i | 0.0655057 | + | 0.371501i | ||||
\(15\) | −0.173648 | + | 0.984808i | −0.0448358 | + | 0.254276i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 5.94356 | − | 4.98724i | 1.44153 | − | 1.20958i | 0.503041 | − | 0.864262i | \(-0.332214\pi\) |
0.938485 | − | 0.345321i | \(-0.112230\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | −2.23396 | − | 3.74292i | −0.512505 | − | 0.858685i | ||||
\(20\) | −1.00000 | −0.223607 | ||||||||
\(21\) | −1.08125 | + | 0.907278i | −0.235949 | + | 0.197984i | ||||
\(22\) | −5.19846 | − | 1.89209i | −1.10832 | − | 0.403394i | ||||
\(23\) | 1.44697 | − | 8.20616i | 0.301713 | − | 1.71110i | −0.336872 | − | 0.941551i | \(-0.609369\pi\) |
0.638585 | − | 0.769551i | \(-0.279520\pi\) | |||||||
\(24\) | −0.173648 | − | 0.984808i | −0.0354458 | − | 0.201023i | ||||
\(25\) | −0.939693 | + | 0.342020i | −0.187939 | + | 0.0684040i | ||||
\(26\) | 2.50000 | − | 4.33013i | 0.490290 | − | 0.849208i | ||||
\(27\) | −0.500000 | − | 0.866025i | −0.0962250 | − | 0.166667i | ||||
\(28\) | −1.08125 | − | 0.907278i | −0.204337 | − | 0.171459i | ||||
\(29\) | 1.34730 | + | 1.13052i | 0.250187 | + | 0.209932i | 0.759253 | − | 0.650796i | \(-0.225565\pi\) |
−0.509066 | + | 0.860727i | \(0.670009\pi\) | |||||||
\(30\) | −0.500000 | − | 0.866025i | −0.0912871 | − | 0.158114i | ||||
\(31\) | 2.71688 | − | 4.70578i | 0.487966 | − | 0.845182i | −0.511938 | − | 0.859022i | \(-0.671072\pi\) |
0.999904 | + | 0.0138400i | \(0.00440555\pi\) | |||||||
\(32\) | 0.939693 | − | 0.342020i | 0.166116 | − | 0.0604612i | ||||
\(33\) | −0.960637 | − | 5.44804i | −0.167225 | − | 0.948383i | ||||
\(34\) | −1.34730 | + | 7.64090i | −0.231059 | + | 1.31040i | ||||
\(35\) | −1.32635 | − | 0.482753i | −0.224194 | − | 0.0816001i | ||||
\(36\) | 0.766044 | − | 0.642788i | 0.127674 | − | 0.107131i | ||||
\(37\) | 3.50980 | 0.577008 | 0.288504 | − | 0.957479i | \(-0.406842\pi\) | ||||
0.288504 | + | 0.957479i | \(0.406842\pi\) | |||||||
\(38\) | 4.11721 | + | 1.43128i | 0.667900 | + | 0.232185i | ||||
\(39\) | 5.00000 | 0.800641 | ||||||||
\(40\) | 0.766044 | − | 0.642788i | 0.121122 | − | 0.101634i | ||||
\(41\) | 4.89306 | + | 1.78093i | 0.764167 | + | 0.278134i | 0.694554 | − | 0.719440i | \(-0.255602\pi\) |
0.0696124 | + | 0.997574i | \(0.477824\pi\) | |||||||
\(42\) | 0.245100 | − | 1.39003i | 0.0378197 | − | 0.214486i | ||||
\(43\) | −0.837496 | − | 4.74968i | −0.127717 | − | 0.724319i | −0.979657 | − | 0.200679i | \(-0.935685\pi\) |
0.851940 | − | 0.523639i | \(-0.175426\pi\) | |||||||
\(44\) | 5.19846 | − | 1.89209i | 0.783698 | − | 0.285243i | ||||
\(45\) | 0.500000 | − | 0.866025i | 0.0745356 | − | 0.129099i | ||||
\(46\) | 4.16637 | + | 7.21637i | 0.614298 | + | 1.06400i | ||||
\(47\) | 2.04916 | + | 1.71945i | 0.298901 | + | 0.250808i | 0.779887 | − | 0.625921i | \(-0.215277\pi\) |
−0.480986 | + | 0.876728i | \(0.659721\pi\) | |||||||
\(48\) | 0.766044 | + | 0.642788i | 0.110569 | + | 0.0927784i | ||||
\(49\) | 2.50387 | + | 4.33683i | 0.357696 | + | 0.619547i | ||||
\(50\) | 0.500000 | − | 0.866025i | 0.0707107 | − | 0.122474i | ||||
\(51\) | −7.29086 | + | 2.65366i | −1.02092 | + | 0.371586i | ||||
\(52\) | 0.868241 | + | 4.92404i | 0.120403 | + | 0.682841i | ||||
\(53\) | 1.52822 | − | 8.66696i | 0.209917 | − | 1.19050i | −0.679595 | − | 0.733587i | \(-0.737845\pi\) |
0.889512 | − | 0.456911i | \(-0.151044\pi\) | |||||||
\(54\) | 0.939693 | + | 0.342020i | 0.127876 | + | 0.0465430i | ||||
\(55\) | 4.23783 | − | 3.55596i | 0.571428 | − | 0.479485i | ||||
\(56\) | 1.41147 | 0.188616 | ||||||||
\(57\) | 0.819078 | + | 4.28125i | 0.108490 | + | 0.567066i | ||||
\(58\) | −1.75877 | −0.230938 | ||||||||
\(59\) | −5.24170 | + | 4.39831i | −0.682411 | + | 0.572611i | −0.916710 | − | 0.399554i | \(-0.869165\pi\) |
0.234299 | + | 0.972165i | \(0.424721\pi\) | |||||||
\(60\) | 0.939693 | + | 0.342020i | 0.121314 | + | 0.0441546i | ||||
\(61\) | 1.67499 | − | 9.49935i | 0.214461 | − | 1.21627i | −0.667379 | − | 0.744718i | \(-0.732584\pi\) |
0.881840 | − | 0.471549i | \(-0.156305\pi\) | |||||||
\(62\) | 0.943563 | + | 5.35121i | 0.119833 | + | 0.679605i | ||||
\(63\) | 1.32635 | − | 0.482753i | 0.167105 | − | 0.0608211i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 2.50000 | + | 4.33013i | 0.310087 | + | 0.537086i | ||||
\(66\) | 4.23783 | + | 3.55596i | 0.521640 | + | 0.437708i | ||||
\(67\) | −5.29086 | − | 4.43956i | −0.646381 | − | 0.542378i | 0.259589 | − | 0.965719i | \(-0.416413\pi\) |
−0.905971 | + | 0.423341i | \(0.860857\pi\) | |||||||
\(68\) | −3.87939 | − | 6.71929i | −0.470445 | − | 0.814834i | ||||
\(69\) | −4.16637 | + | 7.21637i | −0.501573 | + | 0.868749i | ||||
\(70\) | 1.32635 | − | 0.482753i | 0.158529 | − | 0.0577000i | ||||
\(71\) | −0.361844 | − | 2.05212i | −0.0429430 | − | 0.243542i | 0.955779 | − | 0.294087i | \(-0.0950154\pi\) |
−0.998722 | + | 0.0505446i | \(0.983904\pi\) | |||||||
\(72\) | −0.173648 | + | 0.984808i | −0.0204646 | + | 0.116061i | ||||
\(73\) | −0.800660 | − | 0.291416i | −0.0937101 | − | 0.0341077i | 0.294740 | − | 0.955578i | \(-0.404767\pi\) |
−0.388450 | + | 0.921470i | \(0.626989\pi\) | |||||||
\(74\) | −2.68866 | + | 2.25606i | −0.312551 | + | 0.262261i | ||||
\(75\) | 1.00000 | 0.115470 | ||||||||
\(76\) | −4.07398 | + | 1.55007i | −0.467317 | + | 0.177805i | ||||
\(77\) | 7.80840 | 0.889850 | ||||||||
\(78\) | −3.83022 | + | 3.21394i | −0.433687 | + | 0.363907i | ||||
\(79\) | −9.06418 | − | 3.29909i | −1.01980 | − | 0.371177i | −0.222611 | − | 0.974907i | \(-0.571458\pi\) |
−0.797188 | + | 0.603731i | \(0.793680\pi\) | |||||||
\(80\) | −0.173648 | + | 0.984808i | −0.0194145 | + | 0.110105i | ||||
\(81\) | 0.173648 | + | 0.984808i | 0.0192942 | + | 0.109423i | ||||
\(82\) | −4.89306 | + | 1.78093i | −0.540348 | + | 0.196670i | ||||
\(83\) | −1.18479 | + | 2.05212i | −0.130048 | + | 0.225250i | −0.923695 | − | 0.383129i | \(-0.874846\pi\) |
0.793647 | + | 0.608379i | \(0.208180\pi\) | |||||||
\(84\) | 0.705737 | + | 1.22237i | 0.0770022 | + | 0.133372i | ||||
\(85\) | −5.94356 | − | 4.98724i | −0.644670 | − | 0.540942i | ||||
\(86\) | 3.69459 | + | 3.10013i | 0.398398 | + | 0.334296i | ||||
\(87\) | −0.879385 | − | 1.52314i | −0.0942800 | − | 0.163298i | ||||
\(88\) | −2.76604 | + | 4.79093i | −0.294861 | + | 0.510715i | ||||
\(89\) | 13.3623 | − | 4.86348i | 1.41640 | − | 0.515528i | 0.483400 | − | 0.875399i | \(-0.339402\pi\) |
0.933002 | + | 0.359871i | \(0.117179\pi\) | |||||||
\(90\) | 0.173648 | + | 0.984808i | 0.0183041 | + | 0.103808i | ||||
\(91\) | −1.22550 | + | 6.95015i | −0.128467 | + | 0.728574i | ||||
\(92\) | −7.83022 | − | 2.84997i | −0.816357 | − | 0.297130i | ||||
\(93\) | −4.16250 | + | 3.49276i | −0.431632 | + | 0.362182i | ||||
\(94\) | −2.67499 | −0.275904 | ||||||||
\(95\) | −3.29813 | + | 2.84997i | −0.338381 | + | 0.292401i | ||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | 11.1061 | − | 9.31910i | 1.12765 | − | 0.946211i | 0.128685 | − | 0.991686i | \(-0.458924\pi\) |
0.998965 | + | 0.0454747i | \(0.0144800\pi\) | |||||||
\(98\) | −4.70574 | − | 1.71275i | −0.475351 | − | 0.173014i | ||||
\(99\) | −0.960637 | + | 5.44804i | −0.0965477 | + | 0.547549i | ||||
\(100\) | 0.173648 | + | 0.984808i | 0.0173648 | + | 0.0984808i | ||||
\(101\) | 16.8084 | − | 6.11776i | 1.67250 | − | 0.608740i | 0.680247 | − | 0.732983i | \(-0.261873\pi\) |
0.992252 | + | 0.124244i | \(0.0396505\pi\) | |||||||
\(102\) | 3.87939 | − | 6.71929i | 0.384116 | − | 0.665309i | ||||
\(103\) | 2.46451 | + | 4.26865i | 0.242835 | + | 0.420603i | 0.961521 | − | 0.274732i | \(-0.0885893\pi\) |
−0.718686 | + | 0.695335i | \(0.755256\pi\) | |||||||
\(104\) | −3.83022 | − | 3.21394i | −0.375584 | − | 0.315153i | ||||
\(105\) | 1.08125 | + | 0.907278i | 0.105519 | + | 0.0885413i | ||||
\(106\) | 4.40033 | + | 7.62159i | 0.427398 | + | 0.740275i | ||||
\(107\) | −6.00000 | + | 10.3923i | −0.580042 | + | 1.00466i | 0.415432 | + | 0.909624i | \(0.363630\pi\) |
−0.995474 | + | 0.0950377i | \(0.969703\pi\) | |||||||
\(108\) | −0.939693 | + | 0.342020i | −0.0904220 | + | 0.0329109i | ||||
\(109\) | 1.63816 | + | 9.29044i | 0.156907 | + | 0.889863i | 0.957022 | + | 0.290016i | \(0.0936607\pi\) |
−0.800115 | + | 0.599847i | \(0.795228\pi\) | |||||||
\(110\) | −0.960637 | + | 5.44804i | −0.0915932 | + | 0.519451i | ||||
\(111\) | −3.29813 | − | 1.20042i | −0.313045 | − | 0.113939i | ||||
\(112\) | −1.08125 | + | 0.907278i | −0.102169 | + | 0.0857297i | ||||
\(113\) | −11.2763 | −1.06079 | −0.530393 | − | 0.847752i | \(-0.677956\pi\) | ||||
−0.530393 | + | 0.847752i | \(0.677956\pi\) | |||||||
\(114\) | −3.37939 | − | 2.75314i | −0.316508 | − | 0.257855i | ||||
\(115\) | −8.33275 | −0.777033 | ||||||||
\(116\) | 1.34730 | − | 1.13052i | 0.125093 | − | 0.104966i | ||||
\(117\) | −4.69846 | − | 1.71010i | −0.434373 | − | 0.158099i | ||||
\(118\) | 1.18820 | − | 6.73859i | 0.109382 | − | 0.620338i | ||||
\(119\) | −1.90167 | − | 10.7849i | −0.174326 | − | 0.988653i | ||||
\(120\) | −0.939693 | + | 0.342020i | −0.0857818 | + | 0.0312220i | ||||
\(121\) | −9.80200 | + | 16.9776i | −0.891091 | + | 1.54342i | ||||
\(122\) | 4.82295 | + | 8.35359i | 0.436649 | + | 0.756299i | ||||
\(123\) | −3.98886 | − | 3.34705i | −0.359663 | − | 0.301793i | ||||
\(124\) | −4.16250 | − | 3.49276i | −0.373804 | − | 0.313659i | ||||
\(125\) | 0.500000 | + | 0.866025i | 0.0447214 | + | 0.0774597i | ||||
\(126\) | −0.705737 | + | 1.22237i | −0.0628721 | + | 0.108898i | ||||
\(127\) | −10.5890 | + | 3.85408i | −0.939621 | + | 0.341994i | −0.766016 | − | 0.642821i | \(-0.777764\pi\) |
−0.173605 | + | 0.984815i | \(0.555542\pi\) | |||||||
\(128\) | −0.173648 | − | 0.984808i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | −0.837496 | + | 4.74968i | −0.0737374 | + | 0.418186i | ||||
\(130\) | −4.69846 | − | 1.71010i | −0.412082 | − | 0.149986i | ||||
\(131\) | −7.81702 | + | 6.55926i | −0.682976 | + | 0.573085i | −0.916874 | − | 0.399176i | \(-0.869296\pi\) |
0.233898 | + | 0.972261i | \(0.424852\pi\) | |||||||
\(132\) | −5.53209 | −0.481507 | ||||||||
\(133\) | −6.15183 | + | 0.0892091i | −0.533431 | + | 0.00773541i | ||||
\(134\) | 6.90673 | 0.596650 | ||||||||
\(135\) | −0.766044 | + | 0.642788i | −0.0659306 | + | 0.0553223i | ||||
\(136\) | 7.29086 | + | 2.65366i | 0.625186 | + | 0.227549i | ||||
\(137\) | −3.76651 | + | 21.3609i | −0.321795 | + | 1.82499i | 0.209508 | + | 0.977807i | \(0.432814\pi\) |
−0.531303 | + | 0.847182i | \(0.678297\pi\) | |||||||
\(138\) | −1.44697 | − | 8.20616i | −0.123174 | − | 0.698554i | ||||
\(139\) | −4.01842 | + | 1.46258i | −0.340838 | + | 0.124055i | −0.506767 | − | 0.862083i | \(-0.669160\pi\) |
0.165930 | + | 0.986138i | \(0.446938\pi\) | |||||||
\(140\) | −0.705737 | + | 1.22237i | −0.0596457 | + | 0.103309i | ||||
\(141\) | −1.33750 | − | 2.31661i | −0.112637 | − | 0.195094i | ||||
\(142\) | 1.59627 | + | 1.33943i | 0.133956 | + | 0.112402i | ||||
\(143\) | −21.1891 | − | 17.7798i | −1.77192 | − | 1.48682i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | 0.879385 | − | 1.52314i | 0.0730290 | − | 0.126490i | ||||
\(146\) | 0.800660 | − | 0.291416i | 0.0662631 | − | 0.0241178i | ||||
\(147\) | −0.869585 | − | 4.93166i | −0.0717222 | − | 0.406757i | ||||
\(148\) | 0.609470 | − | 3.45648i | 0.0500982 | − | 0.284121i | ||||
\(149\) | 10.7023 | + | 3.89533i | 0.876769 | + | 0.319118i | 0.740905 | − | 0.671610i | \(-0.234397\pi\) |
0.135864 | + | 0.990727i | \(0.456619\pi\) | |||||||
\(150\) | −0.766044 | + | 0.642788i | −0.0625473 | + | 0.0524834i | ||||
\(151\) | 12.0155 | 0.977806 | 0.488903 | − | 0.872338i | \(-0.337397\pi\) | ||||
0.488903 | + | 0.872338i | \(0.337397\pi\) | |||||||
\(152\) | 2.12449 | − | 3.80612i | 0.172319 | − | 0.308717i | ||||
\(153\) | 7.75877 | 0.627259 | ||||||||
\(154\) | −5.98158 | + | 5.01914i | −0.482010 | + | 0.404454i | ||||
\(155\) | −5.10607 | − | 1.85846i | −0.410129 | − | 0.149275i | ||||
\(156\) | 0.868241 | − | 4.92404i | 0.0695149 | − | 0.394239i | ||||
\(157\) | 1.23308 | + | 6.99313i | 0.0984104 | + | 0.558113i | 0.993649 | + | 0.112526i | \(0.0358940\pi\) |
−0.895238 | + | 0.445587i | \(0.852995\pi\) | |||||||
\(158\) | 9.06418 | − | 3.29909i | 0.721107 | − | 0.262462i | ||||
\(159\) | −4.40033 | + | 7.62159i | −0.348969 | + | 0.604432i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | −9.00980 | − | 7.56012i | −0.710072 | − | 0.595821i | ||||
\(162\) | −0.766044 | − | 0.642788i | −0.0601861 | − | 0.0505022i | ||||
\(163\) | −0.694593 | − | 1.20307i | −0.0544047 | − | 0.0942317i | 0.837540 | − | 0.546375i | \(-0.183993\pi\) |
−0.891945 | + | 0.452144i | \(0.850659\pi\) | |||||||
\(164\) | 2.60354 | − | 4.50946i | 0.203302 | − | 0.352130i | ||||
\(165\) | −5.19846 | + | 1.89209i | −0.404700 | + | 0.147299i | ||||
\(166\) | −0.411474 | − | 2.33359i | −0.0319366 | − | 0.181121i | ||||
\(167\) | 2.88191 | − | 16.3441i | 0.223009 | − | 1.26475i | −0.643446 | − | 0.765492i | \(-0.722496\pi\) |
0.866455 | − | 0.499255i | \(-0.166393\pi\) | |||||||
\(168\) | −1.32635 | − | 0.482753i | −0.102330 | − | 0.0372452i | ||||
\(169\) | 9.19253 | − | 7.71345i | 0.707118 | − | 0.593342i | ||||
\(170\) | 7.75877 | 0.595071 | ||||||||
\(171\) | 0.694593 | − | 4.30320i | 0.0531168 | − | 0.329074i | ||||
\(172\) | −4.82295 | −0.367746 | ||||||||
\(173\) | −6.68345 | + | 5.60808i | −0.508133 | + | 0.426374i | −0.860472 | − | 0.509498i | \(-0.829831\pi\) |
0.352339 | + | 0.935873i | \(0.385387\pi\) | |||||||
\(174\) | 1.65270 | + | 0.601535i | 0.125291 | + | 0.0456022i | ||||
\(175\) | −0.245100 | + | 1.39003i | −0.0185278 | + | 0.105076i | ||||
\(176\) | −0.960637 | − | 5.44804i | −0.0724107 | − | 0.410662i | ||||
\(177\) | 6.42989 | − | 2.34029i | 0.483300 | − | 0.175907i | ||||
\(178\) | −7.10994 | + | 12.3148i | −0.532912 | + | 0.923031i | ||||
\(179\) | 9.80453 | + | 16.9819i | 0.732825 | + | 1.26929i | 0.955671 | + | 0.294436i | \(0.0951319\pi\) |
−0.222846 | + | 0.974854i | \(0.571535\pi\) | |||||||
\(180\) | −0.766044 | − | 0.642788i | −0.0570976 | − | 0.0479106i | ||||
\(181\) | 5.66044 | + | 4.74968i | 0.420738 | + | 0.353041i | 0.828444 | − | 0.560073i | \(-0.189227\pi\) |
−0.407706 | + | 0.913113i | \(0.633671\pi\) | |||||||
\(182\) | −3.52869 | − | 6.11186i | −0.261564 | − | 0.453041i | ||||
\(183\) | −4.82295 | + | 8.35359i | −0.356523 | + | 0.617515i | ||||
\(184\) | 7.83022 | − | 2.84997i | 0.577252 | − | 0.210102i | ||||
\(185\) | −0.609470 | − | 3.45648i | −0.0448092 | − | 0.254125i | ||||
\(186\) | 0.943563 | − | 5.35121i | 0.0691854 | − | 0.392370i | ||||
\(187\) | 40.3337 | + | 14.6803i | 2.94949 | + | 1.07353i | ||||
\(188\) | 2.04916 | − | 1.71945i | 0.149451 | − | 0.125404i | ||||
\(189\) | −1.41147 | −0.102670 | ||||||||
\(190\) | 0.694593 | − | 4.30320i | 0.0503911 | − | 0.312187i | ||||
\(191\) | −18.0993 | −1.30962 | −0.654808 | − | 0.755795i | \(-0.727251\pi\) | ||||
−0.654808 | + | 0.755795i | \(0.727251\pi\) | |||||||
\(192\) | 0.766044 | − | 0.642788i | 0.0552845 | − | 0.0463892i | ||||
\(193\) | −10.8229 | − | 3.93923i | −0.779053 | − | 0.283552i | −0.0782752 | − | 0.996932i | \(-0.524941\pi\) |
−0.700778 | + | 0.713380i | \(0.747164\pi\) | |||||||
\(194\) | −2.51754 | + | 14.2777i | −0.180749 | + | 1.02508i | ||||
\(195\) | −0.868241 | − | 4.92404i | −0.0621760 | − | 0.352618i | ||||
\(196\) | 4.70574 | − | 1.71275i | 0.336124 | − | 0.122339i | ||||
\(197\) | −11.5103 | + | 19.9364i | −0.820073 | + | 1.42041i | 0.0855550 | + | 0.996333i | \(0.472734\pi\) |
−0.905628 | + | 0.424074i | \(0.860600\pi\) | |||||||
\(198\) | −2.76604 | − | 4.79093i | −0.196574 | − | 0.340477i | ||||
\(199\) | −18.7442 | − | 15.7283i | −1.32874 | − | 1.11495i | −0.984370 | − | 0.176115i | \(-0.943647\pi\) |
−0.344373 | − | 0.938833i | \(-0.611908\pi\) | |||||||
\(200\) | −0.766044 | − | 0.642788i | −0.0541675 | − | 0.0454519i | ||||
\(201\) | 3.45336 | + | 5.98140i | 0.243581 | + | 0.421895i | ||||
\(202\) | −8.94356 | + | 15.4907i | −0.629267 | + | 1.08992i | ||||
\(203\) | 2.33275 | − | 0.849051i | 0.163727 | − | 0.0595917i | ||||
\(204\) | 1.34730 | + | 7.64090i | 0.0943296 | + | 0.534970i | ||||
\(205\) | 0.904200 | − | 5.12797i | 0.0631521 | − | 0.358153i | ||||
\(206\) | −4.63176 | − | 1.68582i | −0.322710 | − | 0.117457i | ||||
\(207\) | 6.38326 | − | 5.35619i | 0.443667 | − | 0.372281i | ||||
\(208\) | 5.00000 | 0.346688 | ||||||||
\(209\) | 11.7528 | − | 21.0558i | 0.812961 | − | 1.45646i | ||||
\(210\) | −1.41147 | −0.0974010 | ||||||||
\(211\) | 6.31386 | − | 5.29796i | 0.434664 | − | 0.364727i | −0.399044 | − | 0.916932i | \(-0.630658\pi\) |
0.833708 | + | 0.552205i | \(0.186213\pi\) | |||||||
\(212\) | −8.26991 | − | 3.01000i | −0.567980 | − | 0.206728i | ||||
\(213\) | −0.361844 | + | 2.05212i | −0.0247932 | + | 0.140609i | ||||
\(214\) | −2.08378 | − | 11.8177i | −0.142444 | − | 0.807841i | ||||
\(215\) | −4.53209 | + | 1.64955i | −0.309086 | + | 0.112498i | ||||
\(216\) | 0.500000 | − | 0.866025i | 0.0340207 | − | 0.0589256i | ||||
\(217\) | −3.83481 | − | 6.64208i | −0.260324 | − | 0.450894i | ||||
\(218\) | −7.22668 | − | 6.06391i | −0.489453 | − | 0.410700i | ||||
\(219\) | 0.652704 | + | 0.547683i | 0.0441056 | + | 0.0370090i | ||||
\(220\) | −2.76604 | − | 4.79093i | −0.186487 | − | 0.323004i | ||||
\(221\) | −19.3969 | + | 33.5965i | −1.30478 | + | 2.25994i | ||||
\(222\) | 3.29813 | − | 1.20042i | 0.221356 | − | 0.0805671i | ||||
\(223\) | 2.85457 | + | 16.1891i | 0.191156 | + | 1.08410i | 0.917787 | + | 0.397073i | \(0.129974\pi\) |
−0.726631 | + | 0.687028i | \(0.758915\pi\) | |||||||
\(224\) | 0.245100 | − | 1.39003i | 0.0163764 | − | 0.0928753i | ||||
\(225\) | −0.939693 | − | 0.342020i | −0.0626462 | − | 0.0228013i | ||||
\(226\) | 8.63816 | − | 7.24827i | 0.574602 | − | 0.482148i | ||||
\(227\) | 19.3209 | 1.28237 | 0.641186 | − | 0.767385i | \(-0.278443\pi\) | ||||
0.641186 | + | 0.767385i | \(0.278443\pi\) | |||||||
\(228\) | 4.35844 | − | 0.0632028i | 0.288645 | − | 0.00418571i | ||||
\(229\) | 13.2763 | 0.877323 | 0.438662 | − | 0.898652i | \(-0.355453\pi\) | ||||
0.438662 | + | 0.898652i | \(0.355453\pi\) | |||||||
\(230\) | 6.38326 | − | 5.35619i | 0.420899 | − | 0.353177i | ||||
\(231\) | −7.33750 | − | 2.67063i | −0.482772 | − | 0.175715i | ||||
\(232\) | −0.305407 | + | 1.73205i | −0.0200510 | + | 0.113715i | ||||
\(233\) | 1.14796 | + | 6.51038i | 0.0752051 | + | 0.426509i | 0.999044 | + | 0.0437266i | \(0.0139231\pi\) |
−0.923838 | + | 0.382783i | \(0.874966\pi\) | |||||||
\(234\) | 4.69846 | − | 1.71010i | 0.307148 | − | 0.111793i | ||||
\(235\) | 1.33750 | − | 2.31661i | 0.0872486 | − | 0.151119i | ||||
\(236\) | 3.42127 | + | 5.92582i | 0.222706 | + | 0.385738i | ||||
\(237\) | 7.38919 | + | 6.20026i | 0.479979 | + | 0.402750i | ||||
\(238\) | 8.38919 | + | 7.03936i | 0.543790 | + | 0.456294i | ||||
\(239\) | −2.20708 | − | 3.82278i | −0.142764 | − | 0.247275i | 0.785772 | − | 0.618516i | \(-0.212266\pi\) |
−0.928537 | + | 0.371241i | \(0.878932\pi\) | |||||||
\(240\) | 0.500000 | − | 0.866025i | 0.0322749 | − | 0.0559017i | ||||
\(241\) | −11.8833 | + | 4.32515i | −0.765468 | + | 0.278607i | −0.695099 | − | 0.718914i | \(-0.744640\pi\) |
−0.0703683 | + | 0.997521i | \(0.522417\pi\) | |||||||
\(242\) | −3.40420 | − | 19.3062i | −0.218830 | − | 1.24105i | ||||
\(243\) | 0.173648 | − | 0.984808i | 0.0111395 | − | 0.0631754i | ||||
\(244\) | −9.06418 | − | 3.29909i | −0.580275 | − | 0.211203i | ||||
\(245\) | 3.83615 | − | 3.21891i | 0.245083 | − | 0.205649i | ||||
\(246\) | 5.20708 | 0.331991 | ||||||||
\(247\) | 16.8969 | + | 13.7657i | 1.07513 | + | 0.875889i | ||||
\(248\) | 5.43376 | 0.345044 | ||||||||
\(249\) | 1.81521 | − | 1.52314i | 0.115034 | − | 0.0965251i | ||||
\(250\) | −0.939693 | − | 0.342020i | −0.0594314 | − | 0.0216313i | ||||
\(251\) | 2.51589 | − | 14.2683i | 0.158802 | − | 0.900609i | −0.796426 | − | 0.604736i | \(-0.793278\pi\) |
0.955227 | − | 0.295873i | \(-0.0956104\pi\) | |||||||
\(252\) | −0.245100 | − | 1.39003i | −0.0154398 | − | 0.0875637i | ||||
\(253\) | 43.3175 | − | 15.7663i | 2.72335 | − | 0.991217i | ||||
\(254\) | 5.63429 | − | 9.75887i | 0.353527 | − | 0.612326i | ||||
\(255\) | 3.87939 | + | 6.71929i | 0.242937 | + | 0.420778i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 20.1138 | + | 16.8775i | 1.25466 | + | 1.05279i | 0.996229 | + | 0.0867603i | \(0.0276514\pi\) |
0.258436 | + | 0.966028i | \(0.416793\pi\) | |||||||
\(258\) | −2.41147 | − | 4.17680i | −0.150132 | − | 0.260036i | ||||
\(259\) | 2.47700 | − | 4.29028i | 0.153913 | − | 0.266585i | ||||
\(260\) | 4.69846 | − | 1.71010i | 0.291386 | − | 0.106056i | ||||
\(261\) | 0.305407 | + | 1.73205i | 0.0189042 | + | 0.107211i | ||||
\(262\) | 1.77197 | − | 10.0494i | 0.109473 | − | 0.620852i | ||||
\(263\) | 18.6322 | + | 6.78158i | 1.14891 | + | 0.418170i | 0.845124 | − | 0.534570i | \(-0.179526\pi\) |
0.303788 | + | 0.952740i | \(0.401749\pi\) | |||||||
\(264\) | 4.23783 | − | 3.55596i | 0.260820 | − | 0.218854i | ||||
\(265\) | −8.80066 | −0.540620 | ||||||||
\(266\) | 4.65523 | − | 4.02266i | 0.285430 | − | 0.246645i | ||||
\(267\) | −14.2199 | −0.870242 | ||||||||
\(268\) | −5.29086 | + | 4.43956i | −0.323191 | + | 0.271189i | ||||
\(269\) | −24.6732 | − | 8.98032i | −1.50435 | − | 0.547540i | −0.547170 | − | 0.837021i | \(-0.684295\pi\) |
−0.957184 | + | 0.289481i | \(0.906517\pi\) | |||||||
\(270\) | 0.173648 | − | 0.984808i | 0.0105679 | − | 0.0599335i | ||||
\(271\) | 1.75103 | + | 9.93058i | 0.106367 | + | 0.603240i | 0.990665 | + | 0.136317i | \(0.0435265\pi\) |
−0.884298 | + | 0.466923i | \(0.845362\pi\) | |||||||
\(272\) | −7.29086 | + | 2.65366i | −0.442073 | + | 0.160902i | ||||
\(273\) | 3.52869 | − | 6.11186i | 0.213566 | − | 0.369907i | ||||
\(274\) | −10.8452 | − | 18.7845i | −0.655185 | − | 1.13481i | ||||
\(275\) | −4.23783 | − | 3.55596i | −0.255551 | − | 0.214432i | ||||
\(276\) | 6.38326 | + | 5.35619i | 0.384227 | + | 0.322405i | ||||
\(277\) | −9.01754 | − | 15.6188i | −0.541812 | − | 0.938445i | −0.998800 | − | 0.0489725i | \(-0.984405\pi\) |
0.456989 | − | 0.889473i | \(-0.348928\pi\) | |||||||
\(278\) | 2.13816 | − | 3.70339i | 0.128238 | − | 0.222115i | ||||
\(279\) | 5.10607 | − | 1.85846i | 0.305692 | − | 0.111263i | ||||
\(280\) | −0.245100 | − | 1.39003i | −0.0146475 | − | 0.0830702i | ||||
\(281\) | −2.13903 | + | 12.1311i | −0.127604 | + | 0.723678i | 0.852123 | + | 0.523341i | \(0.175315\pi\) |
−0.979727 | + | 0.200337i | \(0.935796\pi\) | |||||||
\(282\) | 2.51367 | + | 0.914901i | 0.149687 | + | 0.0544816i | ||||
\(283\) | 0.652704 | − | 0.547683i | 0.0387992 | − | 0.0325564i | −0.623182 | − | 0.782077i | \(-0.714160\pi\) |
0.661981 | + | 0.749521i | \(0.269716\pi\) | |||||||
\(284\) | −2.08378 | −0.123649 | ||||||||
\(285\) | 4.07398 | − | 1.55007i | 0.241322 | − | 0.0918180i | ||||
\(286\) | 27.6604 | 1.63560 | ||||||||
\(287\) | 5.63017 | − | 4.72427i | 0.332338 | − | 0.278865i | ||||
\(288\) | 0.939693 | + | 0.342020i | 0.0553719 | + | 0.0201537i | ||||
\(289\) | 7.50134 | − | 42.5422i | 0.441256 | − | 2.50248i | ||||
\(290\) | 0.305407 | + | 1.73205i | 0.0179341 | + | 0.101710i | ||||
\(291\) | −13.6236 | + | 4.95859i | −0.798630 | + | 0.290678i | ||||
\(292\) | −0.426022 | + | 0.737892i | −0.0249311 | + | 0.0431819i | ||||
\(293\) | 3.13950 | + | 5.43777i | 0.183412 | + | 0.317678i | 0.943040 | − | 0.332679i | \(-0.107953\pi\) |
−0.759629 | + | 0.650357i | \(0.774619\pi\) | |||||||
\(294\) | 3.83615 | + | 3.21891i | 0.223729 | + | 0.187731i | ||||
\(295\) | 5.24170 | + | 4.39831i | 0.305183 | + | 0.256079i | ||||
\(296\) | 1.75490 | + | 3.03958i | 0.102001 | + | 0.176672i | ||||
\(297\) | 2.76604 | − | 4.79093i | 0.160502 | − | 0.277998i | ||||
\(298\) | −10.7023 | + | 3.89533i | −0.619970 | + | 0.225650i | ||||
\(299\) | 7.23483 | + | 41.0308i | 0.418401 | + | 2.37287i | ||||
\(300\) | 0.173648 | − | 0.984808i | 0.0100256 | − | 0.0568579i | ||||
\(301\) | −6.39693 | − | 2.32829i | −0.368713 | − | 0.134200i | ||||
\(302\) | −9.20439 | + | 7.72340i | −0.529653 | + | 0.444432i | ||||
\(303\) | −17.8871 | −1.02759 | ||||||||
\(304\) | 0.819078 | + | 4.28125i | 0.0469773 | + | 0.245547i | ||||
\(305\) | −9.64590 | −0.552322 | ||||||||
\(306\) | −5.94356 | + | 4.98724i | −0.339771 | + | 0.285102i | ||||
\(307\) | −22.0624 | − | 8.03007i | −1.25917 | − | 0.458300i | −0.375679 | − | 0.926750i | \(-0.622590\pi\) |
−0.883490 | + | 0.468450i | \(0.844813\pi\) | |||||||
\(308\) | 1.35591 | − | 7.68977i | 0.0772604 | − | 0.438165i | ||||
\(309\) | −0.855914 | − | 4.85413i | −0.0486913 | − | 0.276142i | ||||
\(310\) | 5.10607 | − | 1.85846i | 0.290005 | − | 0.105553i | ||||
\(311\) | 6.10607 | − | 10.5760i | 0.346243 | − | 0.599711i | −0.639336 | − | 0.768928i | \(-0.720791\pi\) |
0.985579 | + | 0.169217i | \(0.0541238\pi\) | |||||||
\(312\) | 2.50000 | + | 4.33013i | 0.141535 | + | 0.245145i | ||||
\(313\) | 21.8949 | + | 18.3720i | 1.23757 | + | 1.03845i | 0.997710 | + | 0.0676382i | \(0.0215464\pi\) |
0.239861 | + | 0.970807i | \(0.422898\pi\) | |||||||
\(314\) | −5.43969 | − | 4.56444i | −0.306980 | − | 0.257586i | ||||
\(315\) | −0.705737 | − | 1.22237i | −0.0397638 | − | 0.0688729i | ||||
\(316\) | −4.82295 | + | 8.35359i | −0.271312 | + | 0.469926i | ||||
\(317\) | 7.05051 | − | 2.56617i | 0.395996 | − | 0.144131i | −0.136344 | − | 0.990662i | \(-0.543535\pi\) |
0.532340 | + | 0.846531i | \(0.321313\pi\) | |||||||
\(318\) | −1.52822 | − | 8.66696i | −0.0856982 | − | 0.486019i | ||||
\(319\) | −1.68954 | + | 9.58186i | −0.0945961 | + | 0.536481i | ||||
\(320\) | 0.939693 | + | 0.342020i | 0.0525304 | + | 0.0191195i | ||||
\(321\) | 9.19253 | − | 7.71345i | 0.513077 | − | 0.430523i | ||||
\(322\) | 11.7615 | 0.655440 | ||||||||
\(323\) | −31.9445 | − | 11.1050i | −1.77744 | − | 0.617899i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 3.83022 | − | 3.21394i | 0.212463 | − | 0.178277i | ||||
\(326\) | 1.30541 | + | 0.475129i | 0.0722998 | + | 0.0263150i | ||||
\(327\) | 1.63816 | − | 9.29044i | 0.0905902 | − | 0.513763i | ||||
\(328\) | 0.904200 | + | 5.12797i | 0.0499261 | + | 0.283145i | ||||
\(329\) | 3.54798 | − | 1.29136i | 0.195607 | − | 0.0711950i | ||||
\(330\) | 2.76604 | − | 4.79093i | 0.152266 | − | 0.263732i | ||||
\(331\) | 4.33615 | + | 7.51044i | 0.238336 | + | 0.412811i | 0.960237 | − | 0.279186i | \(-0.0900646\pi\) |
−0.721901 | + | 0.691997i | \(0.756731\pi\) | |||||||
\(332\) | 1.81521 | + | 1.52314i | 0.0996225 | + | 0.0835932i | ||||
\(333\) | 2.68866 | + | 2.25606i | 0.147338 | + | 0.123631i | ||||
\(334\) | 8.29813 | + | 14.3728i | 0.454054 | + | 0.786444i | ||||
\(335\) | −3.45336 | + | 5.98140i | −0.188677 | + | 0.326799i | ||||
\(336\) | 1.32635 | − | 0.482753i | 0.0723584 | − | 0.0263363i | ||||
\(337\) | −2.60307 | − | 14.7628i | −0.141798 | − | 0.804179i | −0.969882 | − | 0.243575i | \(-0.921680\pi\) |
0.828084 | − | 0.560604i | \(-0.189431\pi\) | |||||||
\(338\) | −2.08378 | + | 11.8177i | −0.113343 | + | 0.642798i | ||||
\(339\) | 10.5963 | + | 3.85673i | 0.575510 | + | 0.209469i | ||||
\(340\) | −5.94356 | + | 4.98724i | −0.322335 | + | 0.270471i | ||||
\(341\) | 30.0601 | 1.62784 | ||||||||
\(342\) | 2.23396 | + | 3.74292i | 0.120798 | + | 0.202394i | ||||
\(343\) | 16.9486 | 0.915139 | ||||||||
\(344\) | 3.69459 | − | 3.10013i | 0.199199 | − | 0.167148i | ||||
\(345\) | 7.83022 | + | 2.84997i | 0.421565 | + | 0.153437i | ||||
\(346\) | 1.51501 | − | 8.59208i | 0.0814477 | − | 0.461913i | ||||
\(347\) | −5.18984 | − | 29.4331i | −0.278605 | − | 1.58005i | −0.727271 | − | 0.686350i | \(-0.759212\pi\) |
0.448666 | − | 0.893700i | \(-0.351899\pi\) | |||||||
\(348\) | −1.65270 | + | 0.601535i | −0.0885942 | + | 0.0322457i | ||||
\(349\) | −3.53209 | + | 6.11776i | −0.189068 | + | 0.327476i | −0.944940 | − | 0.327244i | \(-0.893880\pi\) |
0.755872 | + | 0.654720i | \(0.227213\pi\) | |||||||
\(350\) | −0.705737 | − | 1.22237i | −0.0377232 | − | 0.0653386i | ||||
\(351\) | 3.83022 | + | 3.21394i | 0.204442 | + | 0.171547i | ||||
\(352\) | 4.23783 | + | 3.55596i | 0.225877 | + | 0.189533i | ||||
\(353\) | −7.43376 | − | 12.8757i | −0.395659 | − | 0.685302i | 0.597526 | − | 0.801850i | \(-0.296151\pi\) |
−0.993185 | + | 0.116548i | \(0.962817\pi\) | |||||||
\(354\) | −3.42127 | + | 5.92582i | −0.181839 | + | 0.314954i | ||||
\(355\) | −1.95811 | + | 0.712694i | −0.103926 | + | 0.0378259i | ||||
\(356\) | −2.46926 | − | 14.0038i | −0.130870 | − | 0.742202i | ||||
\(357\) | −1.90167 | + | 10.7849i | −0.100647 | + | 0.570799i | ||||
\(358\) | −18.4265 | − | 6.70669i | −0.973870 | − | 0.354460i | ||||
\(359\) | −7.26083 | + | 6.09256i | −0.383212 | + | 0.321553i | −0.813962 | − | 0.580918i | \(-0.802694\pi\) |
0.430750 | + | 0.902471i | \(0.358249\pi\) | |||||||
\(360\) | 1.00000 | 0.0527046 | ||||||||
\(361\) | −9.01889 | + | 16.7230i | −0.474678 | + | 0.880159i | ||||
\(362\) | −7.38919 | −0.388367 | ||||||||
\(363\) | 15.0175 | − | 12.6012i | 0.788216 | − | 0.661392i | ||||
\(364\) | 6.63176 | + | 2.41376i | 0.347599 | + | 0.126516i | ||||
\(365\) | −0.147956 | + | 0.839100i | −0.00774437 | + | 0.0439205i | ||||
\(366\) | −1.67499 | − | 9.49935i | −0.0875533 | − | 0.496539i | ||||
\(367\) | −2.87046 | + | 1.04476i | −0.149837 | + | 0.0545362i | −0.415850 | − | 0.909433i | \(-0.636516\pi\) |
0.266013 | + | 0.963969i | \(0.414294\pi\) | |||||||
\(368\) | −4.16637 | + | 7.21637i | −0.217187 | + | 0.376179i | ||||
\(369\) | 2.60354 | + | 4.50946i | 0.135535 | + | 0.234753i | ||||
\(370\) | 2.68866 | + | 2.25606i | 0.139777 | + | 0.117287i | ||||
\(371\) | −9.51573 | − | 7.98465i | −0.494032 | − | 0.414542i | ||||
\(372\) | 2.71688 | + | 4.70578i | 0.140864 | + | 0.243983i | ||||
\(373\) | −5.66890 | + | 9.81882i | −0.293525 | + | 0.508399i | −0.974641 | − | 0.223776i | \(-0.928162\pi\) |
0.681116 | + | 0.732175i | \(0.261495\pi\) | |||||||
\(374\) | −40.3337 | + | 14.6803i | −2.08561 | + | 0.759098i | ||||
\(375\) | −0.173648 | − | 0.984808i | −0.00896715 | − | 0.0508553i | ||||
\(376\) | −0.464508 | + | 2.63435i | −0.0239551 | + | 0.135856i | ||||
\(377\) | −8.26352 | − | 3.00767i | −0.425593 | − | 0.154903i | ||||
\(378\) | 1.08125 | − | 0.907278i | 0.0556136 | − | 0.0466653i | ||||
\(379\) | 14.4439 | 0.741932 | 0.370966 | − | 0.928647i | \(-0.379027\pi\) | ||||
0.370966 | + | 0.928647i | \(0.379027\pi\) | |||||||
\(380\) | 2.23396 | + | 3.74292i | 0.114600 | + | 0.192008i | ||||
\(381\) | 11.2686 | 0.577306 | ||||||||
\(382\) | 13.8648 | − | 11.6340i | 0.709387 | − | 0.595246i | ||||
\(383\) | −12.0312 | − | 4.37900i | −0.614766 | − | 0.223757i | 0.0158212 | − | 0.999875i | \(-0.494964\pi\) |
−0.630587 | + | 0.776118i | \(0.717186\pi\) | |||||||
\(384\) | −0.173648 | + | 0.984808i | −0.00886145 | + | 0.0502558i | ||||
\(385\) | −1.35591 | − | 7.68977i | −0.0691038 | − | 0.391907i | ||||
\(386\) | 10.8229 | − | 3.93923i | 0.550874 | − | 0.200502i | ||||
\(387\) | 2.41147 | − | 4.17680i | 0.122582 | − | 0.212318i | ||||
\(388\) | −7.24897 | − | 12.5556i | −0.368011 | − | 0.637413i | ||||
\(389\) | 2.44562 | + | 2.05212i | 0.123998 | + | 0.104047i | 0.702678 | − | 0.711508i | \(-0.251987\pi\) |
−0.578680 | + | 0.815555i | \(0.696432\pi\) | |||||||
\(390\) | 3.83022 | + | 3.21394i | 0.193951 | + | 0.162744i | ||||
\(391\) | −32.3259 | − | 55.9902i | −1.63479 | − | 2.83154i | ||||
\(392\) | −2.50387 | + | 4.33683i | −0.126465 | + | 0.219043i | ||||
\(393\) | 9.58899 | − | 3.49011i | 0.483701 | − | 0.176053i | ||||
\(394\) | −3.99747 | − | 22.6708i | −0.201390 | − | 1.14214i | ||||
\(395\) | −1.67499 | + | 9.49935i | −0.0842780 | + | 0.477964i | ||||
\(396\) | 5.19846 | + | 1.89209i | 0.261233 | + | 0.0950809i | ||||
\(397\) | 1.17365 | − | 0.984808i | 0.0589037 | − | 0.0494261i | −0.612861 | − | 0.790191i | \(-0.709981\pi\) |
0.671764 | + | 0.740765i | \(0.265537\pi\) | |||||||
\(398\) | 24.4688 | 1.22651 | ||||||||
\(399\) | 5.81134 | + | 2.02022i | 0.290931 | + | 0.101137i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | 8.39961 | − | 7.04811i | 0.419457 | − | 0.351966i | −0.408500 | − | 0.912758i | \(-0.633948\pi\) |
0.827956 | + | 0.560792i | \(0.189503\pi\) | |||||||
\(402\) | −6.49020 | − | 2.36224i | −0.323702 | − | 0.117818i | ||||
\(403\) | −4.71782 | + | 26.7561i | −0.235011 | + | 1.33281i | ||||
\(404\) | −3.10607 | − | 17.6154i | −0.154533 | − | 0.876398i | ||||
\(405\) | 0.939693 | − | 0.342020i | 0.0466937 | − | 0.0169951i | ||||
\(406\) | −1.24123 | + | 2.14987i | −0.0616012 | + | 0.106696i | ||||
\(407\) | 9.70826 | + | 16.8152i | 0.481221 | + | 0.833499i | ||||
\(408\) | −5.94356 | − | 4.98724i | −0.294250 | − | 0.246905i | ||||
\(409\) | −19.7153 | − | 16.5431i | −0.974858 | − | 0.818003i | 0.00844744 | − | 0.999964i | \(-0.497311\pi\) |
−0.983306 | + | 0.181961i | \(0.941756\pi\) | |||||||
\(410\) | 2.60354 | + | 4.50946i | 0.128580 | + | 0.222707i | ||||
\(411\) | 10.8452 | − | 18.7845i | 0.534956 | − | 0.926571i | ||||
\(412\) | 4.63176 | − | 1.68582i | 0.228190 | − | 0.0830545i | ||||
\(413\) | 1.67711 | + | 9.51135i | 0.0825251 | + | 0.468023i | ||||
\(414\) | −1.44697 | + | 8.20616i | −0.0711145 | + | 0.403311i | ||||
\(415\) | 2.22668 | + | 0.810446i | 0.109304 | + | 0.0397832i | ||||
\(416\) | −3.83022 | + | 3.21394i | −0.187792 | + | 0.157576i | ||||
\(417\) | 4.27631 | 0.209412 | ||||||||
\(418\) | 4.53121 | + | 23.6843i | 0.221629 | + | 1.15844i | ||||
\(419\) | −11.7811 | −0.575542 | −0.287771 | − | 0.957699i | \(-0.592914\pi\) | ||||
−0.287771 | + | 0.957699i | \(0.592914\pi\) | |||||||
\(420\) | 1.08125 | − | 0.907278i | 0.0527597 | − | 0.0442706i | ||||
\(421\) | −4.10607 | − | 1.49449i | −0.200117 | − | 0.0728368i | 0.240017 | − | 0.970769i | \(-0.422847\pi\) |
−0.440134 | + | 0.897932i | \(0.645069\pi\) | |||||||
\(422\) | −1.43124 | + | 8.11695i | −0.0696715 | + | 0.395127i | ||||
\(423\) | 0.464508 | + | 2.63435i | 0.0225851 | + | 0.128087i | ||||
\(424\) | 8.26991 | − | 3.01000i | 0.401623 | − | 0.146179i | ||||
\(425\) | −3.87939 | + | 6.71929i | −0.188178 | + | 0.325934i | ||||
\(426\) | −1.04189 | − | 1.80460i | −0.0504797 | − | 0.0874334i | ||||
\(427\) | −10.4296 | − | 8.75151i | −0.504726 | − | 0.423515i | ||||
\(428\) | 9.19253 | + | 7.71345i | 0.444338 | + | 0.372844i | ||||
\(429\) | 13.8302 | + | 23.9546i | 0.667729 | + | 1.15654i | ||||
\(430\) | 2.41147 | − | 4.17680i | 0.116292 | − | 0.201423i | ||||
\(431\) | −4.02229 | + | 1.46399i | −0.193747 | + | 0.0705181i | −0.437071 | − | 0.899427i | \(-0.643984\pi\) |
0.243324 | + | 0.969945i | \(0.421762\pi\) | |||||||
\(432\) | 0.173648 | + | 0.984808i | 0.00835465 | + | 0.0473816i | ||||
\(433\) | −5.50980 | + | 31.2476i | −0.264784 | + | 1.50167i | 0.504865 | + | 0.863198i | \(0.331542\pi\) |
−0.769649 | + | 0.638467i | \(0.779569\pi\) | |||||||
\(434\) | 7.20708 | + | 2.62316i | 0.345951 | + | 0.125916i | ||||
\(435\) | −1.34730 | + | 1.13052i | −0.0645979 | + | 0.0542041i | ||||
\(436\) | 9.43376 | 0.451795 | ||||||||
\(437\) | −33.9474 | + | 12.9163i | −1.62393 | + | 0.617871i | ||||
\(438\) | −0.852044 | −0.0407122 | ||||||||
\(439\) | 12.9513 | − | 10.8674i | 0.618132 | − | 0.518674i | −0.279084 | − | 0.960267i | \(-0.590031\pi\) |
0.897216 | + | 0.441592i | \(0.145586\pi\) | |||||||
\(440\) | 5.19846 | + | 1.89209i | 0.247827 | + | 0.0902017i | ||||
\(441\) | −0.869585 | + | 4.93166i | −0.0414088 | + | 0.234841i | ||||
\(442\) | −6.73648 | − | 38.2045i | −0.320422 | − | 1.81720i | ||||
\(443\) | −12.3182 | + | 4.48346i | −0.585255 | + | 0.213016i | −0.617641 | − | 0.786460i | \(-0.711912\pi\) |
0.0323860 | + | 0.999475i | \(0.489689\pi\) | |||||||
\(444\) | −1.75490 | + | 3.03958i | −0.0832839 | + | 0.144252i | ||||
\(445\) | −7.10994 | − | 12.3148i | −0.337043 | − | 0.583776i | ||||
\(446\) | −12.5929 | − | 10.5667i | −0.596289 | − | 0.500346i | ||||
\(447\) | −8.72462 | − | 7.32083i | −0.412660 | − | 0.346263i | ||||
\(448\) | 0.705737 | + | 1.22237i | 0.0333429 | + | 0.0577517i | ||||
\(449\) | −4.36231 | + | 7.55574i | −0.205870 | + | 0.356578i | −0.950410 | − | 0.311001i | \(-0.899336\pi\) |
0.744539 | + | 0.667578i | \(0.232669\pi\) | |||||||
\(450\) | 0.939693 | − | 0.342020i | 0.0442975 | − | 0.0161230i | ||||
\(451\) | 5.00212 | + | 28.3684i | 0.235540 | + | 1.33582i | ||||
\(452\) | −1.95811 | + | 11.1050i | −0.0921018 | + | 0.522335i | ||||
\(453\) | −11.2909 | − | 4.10954i | −0.530491 | − | 0.193083i | ||||
\(454\) | −14.8007 | + | 12.4192i | −0.694629 | + | 0.582863i | ||||
\(455\) | 7.05737 | 0.330855 | ||||||||
\(456\) | −3.29813 | + | 2.84997i | −0.154449 | + | 0.133462i | ||||
\(457\) | 9.54664 | 0.446573 | 0.223286 | − | 0.974753i | \(-0.428321\pi\) | ||||
0.223286 | + | 0.974753i | \(0.428321\pi\) | |||||||
\(458\) | −10.1702 | + | 8.53385i | −0.475224 | + | 0.398761i | ||||
\(459\) | −7.29086 | − | 2.65366i | −0.340308 | − | 0.123862i | ||||
\(460\) | −1.44697 | + | 8.20616i | −0.0674652 | + | 0.382614i | ||||
\(461\) | 1.36453 | + | 7.73865i | 0.0635526 | + | 0.360425i | 0.999955 | + | 0.00949640i | \(0.00302284\pi\) |
−0.936402 | + | 0.350928i | \(0.885866\pi\) | |||||||
\(462\) | 7.33750 | − | 2.67063i | 0.341371 | − | 0.124249i | ||||
\(463\) | 2.55896 | − | 4.43225i | 0.118925 | − | 0.205984i | −0.800417 | − | 0.599444i | \(-0.795388\pi\) |
0.919342 | + | 0.393459i | \(0.128722\pi\) | |||||||
\(464\) | −0.879385 | − | 1.52314i | −0.0408244 | − | 0.0707100i | ||||
\(465\) | 4.16250 | + | 3.49276i | 0.193031 | + | 0.161973i | ||||
\(466\) | −5.06418 | − | 4.24935i | −0.234594 | − | 0.196847i | ||||
\(467\) | 6.35504 | + | 11.0072i | 0.294076 | + | 0.509355i | 0.974770 | − | 0.223214i | \(-0.0716548\pi\) |
−0.680693 | + | 0.732568i | \(0.738321\pi\) | |||||||
\(468\) | −2.50000 | + | 4.33013i | −0.115563 | + | 0.200160i | ||||
\(469\) | −9.16075 | + | 3.33424i | −0.423004 | + | 0.153961i | ||||
\(470\) | 0.464508 | + | 2.63435i | 0.0214261 | + | 0.121514i | ||||
\(471\) | 1.23308 | − | 6.99313i | 0.0568172 | − | 0.322227i | ||||
\(472\) | −6.42989 | − | 2.34029i | −0.295960 | − | 0.107721i | ||||
\(473\) | 20.4388 | − | 17.1502i | 0.939778 | − | 0.788567i | ||||
\(474\) | −9.64590 | −0.443051 | ||||||||
\(475\) | 3.37939 | + | 2.75314i | 0.155057 | + | 0.126323i | ||||
\(476\) | −10.9513 | −0.501952 | ||||||||
\(477\) | 6.74170 | − | 5.65695i | 0.308681 | − | 0.259014i | ||||
\(478\) | 4.14796 | + | 1.50973i | 0.189723 | + | 0.0690536i | ||||
\(479\) | 2.26352 | − | 12.8370i | 0.103423 | − | 0.586540i | −0.888416 | − | 0.459040i | \(-0.848194\pi\) |
0.991839 | − | 0.127500i | \(-0.0406953\pi\) | |||||||
\(480\) | 0.173648 | + | 0.984808i | 0.00792592 | + | 0.0449501i | ||||
\(481\) | −16.4907 | + | 6.00211i | −0.751910 | + | 0.273673i | ||||
\(482\) | 6.32295 | − | 10.9517i | 0.288002 | − | 0.498835i | ||||
\(483\) | 5.88073 | + | 10.1857i | 0.267582 | + | 0.463466i | ||||
\(484\) | 15.0175 | + | 12.6012i | 0.682615 | + | 0.572782i | ||||
\(485\) | −11.1061 | − | 9.31910i | −0.504301 | − | 0.423158i | ||||
\(486\) | 0.500000 | + | 0.866025i | 0.0226805 | + | 0.0392837i | ||||
\(487\) | −2.59967 | + | 4.50276i | −0.117802 | + | 0.204040i | −0.918896 | − | 0.394499i | \(-0.870918\pi\) |
0.801094 | + | 0.598538i | \(0.204252\pi\) | |||||||
\(488\) | 9.06418 | − | 3.29909i | 0.410316 | − | 0.149343i | ||||
\(489\) | 0.241230 | + | 1.36808i | 0.0109088 | + | 0.0618667i | ||||
\(490\) | −0.869585 | + | 4.93166i | −0.0392838 | + | 0.222790i | ||||
\(491\) | −6.07145 | − | 2.20983i | −0.274001 | − | 0.0997281i | 0.201365 | − | 0.979516i | \(-0.435462\pi\) |
−0.475366 | + | 0.879788i | \(0.657684\pi\) | |||||||
\(492\) | −3.98886 | + | 3.34705i | −0.179832 | + | 0.150897i | ||||
\(493\) | 13.6459 | 0.614580 | ||||||||
\(494\) | −21.7922 | + | 0.316014i | −0.980478 | + | 0.0142181i | ||||
\(495\) | 5.53209 | 0.248649 | ||||||||
\(496\) | −4.16250 | + | 3.49276i | −0.186902 | + | 0.156829i | ||||
\(497\) | −2.76382 | − | 1.00595i | −0.123974 | − | 0.0451230i | ||||
\(498\) | −0.411474 | + | 2.33359i | −0.0184386 | + | 0.104570i | ||||
\(499\) | −4.96105 | − | 28.1355i | −0.222087 | − | 1.25952i | −0.868176 | − | 0.496256i | \(-0.834708\pi\) |
0.646089 | − | 0.763262i | \(-0.276403\pi\) | |||||||
\(500\) | 0.939693 | − | 0.342020i | 0.0420243 | − | 0.0152956i | ||||
\(501\) | −8.29813 | + | 14.3728i | −0.370733 | + | 0.642129i | ||||
\(502\) | 7.24422 | + | 12.5474i | 0.323325 | + | 0.560016i | ||||
\(503\) | 9.40807 | + | 7.89431i | 0.419485 | + | 0.351990i | 0.827967 | − | 0.560777i | \(-0.189497\pi\) |
−0.408482 | + | 0.912766i | \(0.633942\pi\) | |||||||
\(504\) | 1.08125 | + | 0.907278i | 0.0481628 | + | 0.0404134i | ||||
\(505\) | −8.94356 | − | 15.4907i | −0.397983 | − | 0.689327i | ||||
\(506\) | −23.0488 | + | 39.9216i | −1.02464 | + | 1.77473i | ||||
\(507\) | −11.2763 | + | 4.10424i | −0.500799 | + | 0.182276i | ||||
\(508\) | 1.95677 | + | 11.0974i | 0.0868175 | + | 0.492366i | ||||
\(509\) | 5.26588 | − | 29.8643i | 0.233406 | − | 1.32371i | −0.612538 | − | 0.790441i | \(-0.709851\pi\) |
0.845944 | − | 0.533271i | \(-0.179037\pi\) | |||||||
\(510\) | −7.29086 | − | 2.65366i | −0.322845 | − | 0.117506i | ||||
\(511\) | −0.921274 | + | 0.773041i | −0.0407548 | + | 0.0341973i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −2.12449 | + | 3.80612i | −0.0937983 | + | 0.168044i | ||||
\(514\) | −26.2567 | −1.15813 | ||||||||
\(515\) | 3.77584 | − | 3.16831i | 0.166384 | − | 0.139612i | ||||
\(516\) | 4.53209 | + | 1.64955i | 0.199514 | + | 0.0726172i | ||||
\(517\) | −2.56970 | + | 14.5735i | −0.113015 | + | 0.640941i | ||||
\(518\) | 0.860252 | + | 4.87873i | 0.0377973 | + | 0.214359i | ||||
\(519\) | 8.19846 | − | 2.98400i | 0.359873 | − | 0.130983i | ||||
\(520\) | −2.50000 | + | 4.33013i | −0.109632 | + | 0.189889i | ||||
\(521\) | −16.1480 | − | 27.9691i | −0.707455 | − | 1.22535i | −0.965798 | − | 0.259295i | \(-0.916510\pi\) |
0.258344 | − | 0.966053i | \(-0.416823\pi\) | |||||||
\(522\) | −1.34730 | − | 1.13052i | −0.0589696 | − | 0.0494813i | ||||
\(523\) | 20.6236 | + | 17.3053i | 0.901807 | + | 0.756706i | 0.970543 | − | 0.240929i | \(-0.0774520\pi\) |
−0.0687354 | + | 0.997635i | \(0.521896\pi\) | |||||||
\(524\) | 5.10220 | + | 8.83726i | 0.222890 | + | 0.386058i | ||||
\(525\) | 0.705737 | − | 1.22237i | 0.0308009 | − | 0.0533487i | ||||
\(526\) | −18.6322 | + | 6.78158i | −0.812404 | + | 0.295691i | ||||
\(527\) | −7.32089 | − | 41.5188i | −0.318903 | − | 1.80859i | ||||
\(528\) | −0.960637 | + | 5.44804i | −0.0418064 | + | 0.237096i | ||||
\(529\) | −43.6343 | − | 15.8816i | −1.89715 | − | 0.690504i | ||||
\(530\) | 6.74170 | − | 5.65695i | 0.292841 | − | 0.245722i | ||||
\(531\) | −6.84255 | −0.296941 | ||||||||
\(532\) | −0.980400 | + | 6.07386i | −0.0425057 | + | 0.263335i | ||||
\(533\) | −26.0354 | −1.12772 | ||||||||
\(534\) | 10.8931 | − | 9.14036i | 0.471389 | − | 0.395542i | ||||
\(535\) | 11.2763 | + | 4.10424i | 0.487517 | + | 0.177442i | ||||
\(536\) | 1.19934 | − | 6.80180i | 0.0518036 | − | 0.293793i | ||||
\(537\) | −3.40508 | − | 19.3112i | −0.146940 | − | 0.833338i | ||||
\(538\) | 24.6732 | − | 8.98032i | 1.06374 | − | 0.387169i | ||||
\(539\) | −13.8516 | + | 23.9917i | −0.596632 | + | 1.03340i | ||||
\(540\) | 0.500000 | + | 0.866025i | 0.0215166 | + | 0.0372678i | ||||
\(541\) | 11.9855 | + | 10.0570i | 0.515295 | + | 0.432384i | 0.862988 | − | 0.505225i | \(-0.168590\pi\) |
−0.347693 | + | 0.937608i | \(0.613035\pi\) | |||||||
\(542\) | −7.72462 | − | 6.48173i | −0.331801 | − | 0.278414i | ||||
\(543\) | −3.69459 | − | 6.39922i | −0.158550 | − | 0.274617i | ||||
\(544\) | 3.87939 | − | 6.71929i | 0.166327 | − | 0.288087i | ||||
\(545\) | 8.86484 | − | 3.22654i | 0.379728 | − | 0.138210i | ||||
\(546\) | 1.22550 | + | 6.95015i | 0.0524465 | + | 0.297439i | ||||
\(547\) | −6.21987 | + | 35.2747i | −0.265943 | + | 1.50824i | 0.500395 | + | 0.865797i | \(0.333188\pi\) |
−0.766337 | + | 0.642438i | \(0.777923\pi\) | |||||||
\(548\) | 20.3824 | + | 7.41858i | 0.870692 | + | 0.316906i | ||||
\(549\) | 7.38919 | − | 6.20026i | 0.315363 | − | 0.264621i | ||||
\(550\) | 5.53209 | 0.235889 | ||||||||
\(551\) | 1.22163 | − | 7.56834i | 0.0520432 | − | 0.322422i | ||||
\(552\) | −8.33275 | −0.354665 | ||||||||
\(553\) | −10.4296 | + | 8.75151i | −0.443514 | + | 0.372152i | ||||
\(554\) | 16.9474 | + | 6.16836i | 0.720027 | + | 0.262069i | ||||
\(555\) | −0.609470 | + | 3.45648i | −0.0258706 | + | 0.146719i | ||||
\(556\) | 0.742574 | + | 4.21134i | 0.0314921 | + | 0.178601i | ||||
\(557\) | −31.5590 | + | 11.4865i | −1.33720 | + | 0.486700i | −0.908929 | − | 0.416951i | \(-0.863099\pi\) |
−0.428269 | + | 0.903651i | \(0.640877\pi\) | |||||||
\(558\) | −2.71688 | + | 4.70578i | −0.115015 | + | 0.199211i | ||||
\(559\) | 12.0574 | + | 20.8840i | 0.509972 | + | 0.883298i | ||||
\(560\) | 1.08125 | + | 0.907278i | 0.0456912 | + | 0.0383395i | ||||
\(561\) | −32.8803 | − | 27.5899i | −1.38821 | − | 1.16484i | ||||
\(562\) | −6.15910 | − | 10.6679i | −0.259806 | − | 0.449997i | ||||
\(563\) | 9.37464 | − | 16.2373i | 0.395094 | − | 0.684323i | −0.598019 | − | 0.801482i | \(-0.704045\pi\) |
0.993113 | + | 0.117159i | \(0.0373787\pi\) | |||||||
\(564\) | −2.51367 | + | 0.914901i | −0.105845 | + | 0.0385243i | ||||
\(565\) | 1.95811 | + | 11.1050i | 0.0823783 | + | 0.467191i | ||||
\(566\) | −0.147956 | + | 0.839100i | −0.00621905 | + | 0.0352700i | ||||
\(567\) | 1.32635 | + | 0.482753i | 0.0557015 | + | 0.0202737i | ||||
\(568\) | 1.59627 | − | 1.33943i | 0.0669779 | − | 0.0562011i | ||||
\(569\) | 16.2736 | 0.682226 | 0.341113 | − | 0.940022i | \(-0.389196\pi\) | ||||
0.341113 | + | 0.940022i | \(0.389196\pi\) | |||||||
\(570\) | −2.12449 | + | 3.80612i | −0.0889849 | + | 0.159421i | ||||
\(571\) | −15.5681 | −0.651505 | −0.325752 | − | 0.945455i | \(-0.605618\pi\) | ||||
−0.325752 | + | 0.945455i | \(0.605618\pi\) | |||||||
\(572\) | −21.1891 | + | 17.7798i | −0.885962 | + | 0.743410i | ||||
\(573\) | 17.0077 | + | 6.19031i | 0.710509 | + | 0.258604i | ||||
\(574\) | −1.27626 | + | 7.23800i | −0.0532699 | + | 0.302108i | ||||
\(575\) | 1.44697 | + | 8.20616i | 0.0603427 | + | 0.342220i | ||||
\(576\) | −0.939693 | + | 0.342020i | −0.0391539 | + | 0.0142508i | ||||
\(577\) | −1.00000 | + | 1.73205i | −0.0416305 | + | 0.0721062i | −0.886090 | − | 0.463513i | \(-0.846589\pi\) |
0.844459 | + | 0.535620i | \(0.179922\pi\) | |||||||
\(578\) | 21.5993 | + | 37.4110i | 0.898411 | + | 1.55609i | ||||
\(579\) | 8.82295 | + | 7.40333i | 0.366669 | + | 0.307672i | ||||
\(580\) | −1.34730 | − | 1.13052i | −0.0559434 | − | 0.0469421i | ||||
\(581\) | 1.67230 | + | 2.89652i | 0.0693789 | + | 0.120168i | ||||
\(582\) | 7.24897 | − | 12.5556i | 0.300479 | − | 0.520446i | ||||
\(583\) | 45.7499 | − | 16.6516i | 1.89477 | − | 0.689639i | ||||
\(584\) | −0.147956 | − | 0.839100i | −0.00612246 | − | 0.0347222i | ||||
\(585\) | −0.868241 | + | 4.92404i | −0.0358973 | + | 0.203584i | ||||
\(586\) | −5.90033 | − | 2.14754i | −0.243740 | − | 0.0887142i | ||||
\(587\) | −25.1976 | + | 21.1433i | −1.04002 | + | 0.872677i | −0.992009 | − | 0.126170i | \(-0.959731\pi\) |
−0.0480071 | + | 0.998847i | \(0.515287\pi\) | |||||||
\(588\) | −5.00774 | −0.206516 | ||||||||
\(589\) | −23.6827 | + | 0.343429i | −0.975830 | + | 0.0141507i | ||||
\(590\) | −6.84255 | −0.281703 | ||||||||
\(591\) | 17.6348 | − | 14.7973i | 0.725397 | − | 0.608680i | ||||
\(592\) | −3.29813 | − | 1.20042i | −0.135552 | − | 0.0493371i | ||||
\(593\) | −3.71688 | + | 21.0795i | −0.152634 | + | 0.865631i | 0.808283 | + | 0.588794i | \(0.200397\pi\) |
−0.960917 | + | 0.276836i | \(0.910714\pi\) | |||||||
\(594\) | 0.960637 | + | 5.44804i | 0.0394154 | + | 0.223536i | ||||
\(595\) | −10.2909 | + | 3.74557i | −0.421884 | + | 0.153553i | ||||
\(596\) | 5.69459 | − | 9.86332i | 0.233260 | − | 0.404017i | ||||
\(597\) | 12.2344 | + | 21.1906i | 0.500722 | + | 0.867275i | ||||
\(598\) | −31.9163 | − | 26.7809i | −1.30515 | − | 1.09515i | ||||
\(599\) | 24.2422 | + | 20.3416i | 0.990508 | + | 0.831135i | 0.985641 | − | 0.168853i | \(-0.0540064\pi\) |
0.00486674 | + | 0.999988i | \(0.498451\pi\) | |||||||
\(600\) | 0.500000 | + | 0.866025i | 0.0204124 | + | 0.0353553i | ||||
\(601\) | −7.12108 | + | 12.3341i | −0.290475 | + | 0.503117i | −0.973922 | − | 0.226883i | \(-0.927147\pi\) |
0.683447 | + | 0.730000i | \(0.260480\pi\) | |||||||
\(602\) | 6.39693 | − | 2.32829i | 0.260719 | − | 0.0948940i | ||||
\(603\) | −1.19934 | − | 6.80180i | −0.0488409 | − | 0.276991i | ||||
\(604\) | 2.08647 | − | 11.8329i | 0.0848971 | − | 0.481475i | ||||
\(605\) | 18.4217 | + | 6.70497i | 0.748950 | + | 0.272596i | ||||
\(606\) | 13.7023 | − | 11.4976i | 0.556619 | − | 0.467059i | ||||
\(607\) | −6.15064 | −0.249647 | −0.124823 | − | 0.992179i | \(-0.539836\pi\) | ||||
−0.124823 | + | 0.992179i | \(0.539836\pi\) | |||||||
\(608\) | −3.37939 | − | 2.75314i | −0.137052 | − | 0.111654i | ||||
\(609\) | −2.48246 | −0.100594 | ||||||||
\(610\) | 7.38919 | − | 6.20026i | 0.299179 | − | 0.251041i | ||||
\(611\) | −12.5684 | − | 4.57451i | −0.508461 | − | 0.185065i | ||||
\(612\) | 1.34730 | − | 7.64090i | 0.0544612 | − | 0.308865i | ||||
\(613\) | 1.12819 | + | 6.39830i | 0.0455673 | + | 0.258425i | 0.999078 | − | 0.0429345i | \(-0.0136707\pi\) |
−0.953511 | + | 0.301360i | \(0.902560\pi\) | |||||||
\(614\) | 22.0624 | − | 8.03007i | 0.890367 | − | 0.324067i | ||||
\(615\) | −2.60354 | + | 4.50946i | −0.104985 | + | 0.181839i | ||||
\(616\) | 3.90420 | + | 6.76227i | 0.157305 | + | 0.272460i | ||||
\(617\) | 21.5371 | + | 18.0718i | 0.867053 | + | 0.727544i | 0.963475 | − | 0.267797i | \(-0.0862956\pi\) |
−0.0964227 | + | 0.995340i | \(0.530740\pi\) | |||||||
\(618\) | 3.77584 | + | 3.16831i | 0.151887 | + | 0.127448i | ||||
\(619\) | 16.1841 | + | 28.0316i | 0.650493 | + | 1.12669i | 0.983003 | + | 0.183587i | \(0.0587710\pi\) |
−0.332510 | + | 0.943100i | \(0.607896\pi\) | |||||||
\(620\) | −2.71688 | + | 4.70578i | −0.109113 | + | 0.188989i | ||||
\(621\) | −7.83022 | + | 2.84997i | −0.314216 | + | 0.114365i | ||||
\(622\) | 2.12061 | + | 12.0266i | 0.0850289 | + | 0.482223i | ||||
\(623\) | 3.48529 | − | 19.7661i | 0.139635 | − | 0.791911i | ||||
\(624\) | −4.69846 | − | 1.71010i | −0.188089 | − | 0.0684588i | ||||
\(625\) | 0.766044 | − | 0.642788i | 0.0306418 | − | 0.0257115i | ||||
\(626\) | −28.5817 | −1.14236 | ||||||||
\(627\) | −18.2456 | + | 15.7663i | −0.728658 | + | 0.629644i | ||||
\(628\) | 7.10101 | 0.283361 | ||||||||
\(629\) | 20.8607 | − | 17.5042i | 0.831771 | − | 0.697939i | ||||
\(630\) | 1.32635 | + | 0.482753i | 0.0528431 | + | 0.0192333i | ||||
\(631\) | 0.290859 | − | 1.64955i | 0.0115789 | − | 0.0656674i | −0.978471 | − | 0.206385i | \(-0.933830\pi\) |
0.990050 | + | 0.140718i | \(0.0449411\pi\) | |||||||
\(632\) | −1.67499 | − | 9.49935i | −0.0666276 | − | 0.377864i | ||||
\(633\) | −7.74510 | + | 2.81899i | −0.307840 | + | 0.112045i | ||||
\(634\) | −3.75150 | + | 6.49778i | −0.148991 | + | 0.258060i | ||||
\(635\) | 5.63429 | + | 9.75887i | 0.223590 | + | 0.387269i | ||||
\(636\) | 6.74170 | + | 5.65695i | 0.267326 | + | 0.224313i | ||||
\(637\) | −19.1808 | − | 16.0946i | −0.759969 | − | 0.637690i | ||||
\(638\) | −4.86484 | − | 8.42615i | −0.192601 | − | 0.333594i | ||||
\(639\) | 1.04189 | − | 1.80460i | 0.0412165 | − | 0.0713891i | ||||
\(640\) | −0.939693 | + | 0.342020i | −0.0371446 | + | 0.0135195i | ||||
\(641\) | 3.39764 | + | 19.2690i | 0.134199 | + | 0.761079i | 0.975414 | + | 0.220379i | \(0.0707294\pi\) |
−0.841216 | + | 0.540700i | \(0.818159\pi\) | |||||||
\(642\) | −2.08378 | + | 11.8177i | −0.0822402 | + | 0.466407i | ||||
\(643\) | −19.4979 | − | 7.09667i | −0.768924 | − | 0.279865i | −0.0723775 | − | 0.997377i | \(-0.523059\pi\) |
−0.696546 | + | 0.717512i | \(0.745281\pi\) | |||||||
\(644\) | −9.00980 | + | 7.56012i | −0.355036 | + | 0.297910i | ||||
\(645\) | 4.82295 | 0.189903 | ||||||||
\(646\) | 31.6091 | − | 12.0266i | 1.24364 | − | 0.473180i | ||||
\(647\) | 8.33275 | 0.327594 | 0.163797 | − | 0.986494i | \(-0.447626\pi\) | ||||
0.163797 | + | 0.986494i | \(0.447626\pi\) | |||||||
\(648\) | −0.766044 | + | 0.642788i | −0.0300931 | + | 0.0252511i | ||||
\(649\) | −35.5707 | − | 12.9467i | −1.39627 | − | 0.508202i | ||||
\(650\) | −0.868241 | + | 4.92404i | −0.0340552 | + | 0.193137i | ||||
\(651\) | 1.33181 | + | 7.55310i | 0.0521979 | + | 0.296029i | ||||
\(652\) | −1.30541 | + | 0.475129i | −0.0511237 | + | 0.0186075i | ||||
\(653\) | −3.35844 | + | 5.81699i | −0.131426 | + | 0.227636i | −0.924226 | − | 0.381845i | \(-0.875289\pi\) |
0.792801 | + | 0.609481i | \(0.208622\pi\) | |||||||
\(654\) | 4.71688 | + | 8.16988i | 0.184445 | + | 0.319468i | ||||
\(655\) | 7.81702 | + | 6.55926i | 0.305436 | + | 0.256291i | ||||
\(656\) | −3.98886 | − | 3.34705i | −0.155739 | − | 0.130680i | ||||
\(657\) | −0.426022 | − | 0.737892i | −0.0166207 | − | 0.0287879i | ||||
\(658\) | −1.88784 | + | 3.26984i | −0.0735957 | + | 0.127472i | ||||
\(659\) | −38.8717 | + | 14.1481i | −1.51423 | + | 0.551133i | −0.959698 | − | 0.281032i | \(-0.909323\pi\) |
−0.554528 | + | 0.832165i | \(0.687101\pi\) | |||||||
\(660\) | 0.960637 | + | 5.44804i | 0.0373928 | + | 0.212065i | ||||
\(661\) | 2.56799 | − | 14.5638i | 0.0998833 | − | 0.566466i | −0.893258 | − | 0.449545i | \(-0.851586\pi\) |
0.993141 | − | 0.116922i | \(-0.0373026\pi\) | |||||||
\(662\) | −8.14930 | − | 2.96610i | −0.316732 | − | 0.115281i | ||||
\(663\) | 29.7178 | − | 24.9362i | 1.15414 | − | 0.968442i | ||||
\(664\) | −2.36959 | −0.0919577 | ||||||||
\(665\) | 1.15611 | + | 6.04288i | 0.0448319 | + | 0.234333i | ||||
\(666\) | −3.50980 | −0.136002 | ||||||||
\(667\) | 11.2267 | − | 9.42030i | 0.434699 | − | 0.364756i | ||||
\(668\) | −15.5954 | − | 5.67626i | −0.603404 | − | 0.219621i | ||||
\(669\) | 2.85457 | − | 16.1891i | 0.110364 | − | 0.625906i | ||||
\(670\) | −1.19934 | − | 6.80180i | −0.0463346 | − | 0.262776i | ||||
\(671\) | 50.1438 | − | 18.2509i | 1.93578 | − | 0.704567i | ||||
\(672\) | −0.705737 | + | 1.22237i | −0.0272244 | + | 0.0471540i | ||||
\(673\) | 9.55943 | + | 16.5574i | 0.368489 | + | 0.638242i | 0.989330 | − | 0.145695i | \(-0.0465419\pi\) |
−0.620841 | + | 0.783937i | \(0.713209\pi\) | |||||||
\(674\) | 11.4834 | + | 9.63571i | 0.442324 | + | 0.371154i | ||||
\(675\) | 0.766044 | + | 0.642788i | 0.0294851 | + | 0.0247409i | ||||
\(676\) | −6.00000 | − | 10.3923i | −0.230769 | − | 0.399704i | ||||
\(677\) | 18.7113 | − | 32.4088i | 0.719132 | − | 1.24557i | −0.242212 | − | 0.970223i | \(-0.577873\pi\) |
0.961344 | − | 0.275350i | \(-0.0887937\pi\) | |||||||
\(678\) | −10.5963 | + | 3.85673i | −0.406947 | + | 0.148117i | ||||
\(679\) | −3.55344 | − | 20.1526i | −0.136369 | − | 0.773385i | ||||
\(680\) | 1.34730 | − | 7.64090i | 0.0516665 | − | 0.293015i | ||||
\(681\) | −18.1557 | − | 6.60813i | −0.695728 | − | 0.253224i | ||||
\(682\) | −23.0273 | + | 19.3222i | −0.881762 | + | 0.739887i | ||||
\(683\) | 38.0702 | 1.45671 | 0.728357 | − | 0.685198i | \(-0.240284\pi\) | ||||
0.728357 | + | 0.685198i | \(0.240284\pi\) | |||||||
\(684\) | −4.11721 | − | 1.43128i | −0.157426 | − | 0.0547265i | ||||
\(685\) | 21.6905 | 0.828750 | ||||||||
\(686\) | −12.9834 | + | 10.8944i | −0.495708 | + | 0.415949i | ||||
\(687\) | −12.4757 | − | 4.54077i | −0.475976 | − | 0.173241i | ||||
\(688\) | −0.837496 | + | 4.74968i | −0.0319292 | + | 0.181080i | ||||
\(689\) | 7.64109 | + | 43.3348i | 0.291102 | + | 1.65092i | ||||
\(690\) | −7.83022 | + | 2.84997i | −0.298091 | + | 0.108496i | ||||
\(691\) | −7.10488 | + | 12.3060i | −0.270283 | + | 0.468143i | −0.968934 | − | 0.247319i | \(-0.920450\pi\) |
0.698652 | + | 0.715462i | \(0.253784\pi\) | |||||||
\(692\) | 4.36231 | + | 7.55574i | 0.165830 | + | 0.287226i | ||||
\(693\) | 5.98158 | + | 5.01914i | 0.227221 | + | 0.190661i | ||||
\(694\) | 22.8949 | + | 19.2111i | 0.869077 | + | 0.729242i | ||||
\(695\) | 2.13816 | + | 3.70339i | 0.0811049 | + | 0.140478i | ||||
\(696\) | 0.879385 | − | 1.52314i | 0.0333330 | − | 0.0577345i | ||||
\(697\) | 37.9641 | − | 13.8178i | 1.43799 | − | 0.523387i | ||||
\(698\) | −1.22668 | − | 6.95686i | −0.0464306 | − | 0.263321i | ||||
\(699\) | 1.14796 | − | 6.51038i | 0.0434197 | − | 0.246245i | ||||
\(700\) | 1.32635 | + | 0.482753i | 0.0501314 | + | 0.0182463i | ||||
\(701\) | 19.9973 | − | 16.7797i | 0.755288 | − | 0.633762i | −0.181608 | − | 0.983371i | \(-0.558130\pi\) |
0.936896 | + | 0.349609i | \(0.113686\pi\) | |||||||
\(702\) | −5.00000 | −0.188713 | ||||||||
\(703\) | −7.84074 | − | 13.1369i | −0.295719 | − | 0.495467i | ||||
\(704\) | −5.53209 | −0.208498 | ||||||||
\(705\) | −2.04916 | + | 1.71945i | −0.0771759 | + | 0.0647583i | ||||
\(706\) | 13.9709 | + | 5.08499i | 0.525802 | + | 0.191376i | ||||
\(707\) | 4.38413 | − | 24.8637i | 0.164882 | − | 0.935094i | ||||
\(708\) | −1.18820 | − | 6.73859i | −0.0446551 | − | 0.253252i | ||||
\(709\) | 33.2148 | − | 12.0892i | 1.24741 | − | 0.454020i | 0.367884 | − | 0.929872i | \(-0.380083\pi\) |
0.879525 | + | 0.475852i | \(0.157860\pi\) | |||||||
\(710\) | 1.04189 | − | 1.80460i | 0.0391014 | − | 0.0677256i | ||||
\(711\) | −4.82295 | − | 8.35359i | −0.180875 | − | 0.313284i | ||||
\(712\) | 10.8931 | + | 9.14036i | 0.408235 | + | 0.342549i | ||||
\(713\) | −34.6851 | − | 29.1043i | −1.29897 | − | 1.08996i | ||||
\(714\) | −5.47565 | − | 9.48411i | −0.204921 | − | 0.354934i | ||||
\(715\) | −13.8302 | + | 23.9546i | −0.517221 | + | 0.895853i | ||||
\(716\) | 18.4265 | − | 6.70669i | 0.688630 | − | 0.250641i | ||||
\(717\) | 0.766511 | + | 4.34710i | 0.0286259 | + | 0.162345i | ||||
\(718\) | 1.64590 | − | 9.33434i | 0.0614243 | − | 0.348355i | ||||
\(719\) | 28.2713 | + | 10.2899i | 1.05434 | + | 0.383748i | 0.810299 | − | 0.586017i | \(-0.199305\pi\) |
0.244041 | + | 0.969765i | \(0.421527\pi\) | |||||||
\(720\) | −0.766044 | + | 0.642788i | −0.0285488 | + | 0.0239553i | ||||
\(721\) | 6.95718 | 0.259099 | ||||||||
\(722\) | −3.84049 | − | 18.6078i | −0.142928 | − | 0.692511i | ||||
\(723\) | 12.6459 | 0.470306 | ||||||||
\(724\) | 5.66044 | − | 4.74968i | 0.210369 | − | 0.176520i | ||||
\(725\) | −1.65270 | − | 0.601535i | −0.0613799 | − | 0.0223404i | ||||
\(726\) | −3.40420 | + | 19.3062i | −0.126342 | + | 0.716519i | ||||
\(727\) | −5.79797 | − | 32.8819i | −0.215035 | − | 1.21952i | −0.880846 | − | 0.473403i | \(-0.843025\pi\) |
0.665811 | − | 0.746120i | \(-0.268086\pi\) | |||||||
\(728\) | −6.63176 | + | 2.41376i | −0.245789 | + | 0.0894600i | ||||
\(729\) | −0.500000 | + | 0.866025i | −0.0185185 | + | 0.0320750i | ||||
\(730\) | −0.426022 | − | 0.737892i | −0.0157678 | − | 0.0273106i | ||||
\(731\) | −28.6655 | − | 24.0532i | −1.06023 | − | 0.889640i | ||||
\(732\) | 7.38919 | + | 6.20026i | 0.273112 | + | 0.229168i | ||||
\(733\) | −6.67159 | − | 11.5555i | −0.246421 | − | 0.426813i | 0.716109 | − | 0.697988i | \(-0.245921\pi\) |
−0.962530 | + | 0.271175i | \(0.912588\pi\) | |||||||
\(734\) | 1.52734 | − | 2.64543i | 0.0563752 | − | 0.0976447i | ||||
\(735\) | −4.70574 | + | 1.71275i | −0.173574 | + | 0.0631757i | ||||
\(736\) | −1.44697 | − | 8.20616i | −0.0533359 | − | 0.302483i | ||||
\(737\) | 6.63486 | − | 37.6281i | 0.244398 | − | 1.38605i | ||||
\(738\) | −4.89306 | − | 1.78093i | −0.180116 | − | 0.0655568i | ||||
\(739\) | 8.07785 | − | 6.77812i | 0.297148 | − | 0.249337i | −0.482008 | − | 0.876167i | \(-0.660092\pi\) |
0.779156 | + | 0.626830i | \(0.215648\pi\) | |||||||
\(740\) | −3.50980 | −0.129023 | ||||||||
\(741\) | −11.1698 | − | 18.7146i | −0.410332 | − | 0.687498i | ||||
\(742\) | 12.4219 | 0.456022 | ||||||||
\(743\) | −22.4481 | + | 18.8362i | −0.823543 | + | 0.691034i | −0.953799 | − | 0.300446i | \(-0.902864\pi\) |
0.130256 | + | 0.991480i | \(0.458420\pi\) | |||||||
\(744\) | −5.10607 | − | 1.85846i | −0.187197 | − | 0.0681343i | ||||
\(745\) | 1.97771 | − | 11.2162i | 0.0724577 | − | 0.410928i | ||||
\(746\) | −1.96879 | − | 11.1656i | −0.0720825 | − | 0.408800i | ||||
\(747\) | −2.22668 | + | 0.810446i | −0.0814700 | + | 0.0296527i | ||||
\(748\) | 21.4611 | − | 37.1717i | 0.784696 | − | 1.35913i | ||||
\(749\) | 8.46884 | + | 14.6685i | 0.309445 | + | 0.535974i | ||||
\(750\) | 0.766044 | + | 0.642788i | 0.0279720 | + | 0.0234713i | ||||
\(751\) | −3.52166 | − | 2.95502i | −0.128507 | − | 0.107830i | 0.576269 | − | 0.817260i | \(-0.304508\pi\) |
−0.704776 | + | 0.709430i | \(0.748953\pi\) | |||||||
\(752\) | −1.33750 | − | 2.31661i | −0.0487735 | − | 0.0844781i | ||||
\(753\) | −7.24422 | + | 12.5474i | −0.263994 | + | 0.457251i | ||||
\(754\) | 8.26352 | − | 3.00767i | 0.300940 | − | 0.109533i | ||||
\(755\) | −2.08647 | − | 11.8329i | −0.0759343 | − | 0.430645i | ||||
\(756\) | −0.245100 | + | 1.39003i | −0.00891420 | + | 0.0505549i | ||||
\(757\) | −7.65183 | − | 2.78504i | −0.278110 | − | 0.101224i | 0.199199 | − | 0.979959i | \(-0.436166\pi\) |
−0.477310 | + | 0.878735i | \(0.658388\pi\) | |||||||
\(758\) | −11.0646 | + | 9.28434i | −0.401886 | + | 0.337222i | ||||
\(759\) | −46.0975 | −1.67323 | ||||||||
\(760\) | −4.11721 | − | 1.43128i | −0.149347 | − | 0.0519181i | ||||
\(761\) | 19.2772 | 0.698800 | 0.349400 | − | 0.936974i | \(-0.386386\pi\) | ||||
0.349400 | + | 0.936974i | \(0.386386\pi\) | |||||||
\(762\) | −8.63223 | + | 7.24330i | −0.312713 | + | 0.262397i | ||||
\(763\) | 12.5125 | + | 4.55417i | 0.452982 | + | 0.164872i | ||||
\(764\) | −3.14290 | + | 17.8243i | −0.113706 | + | 0.644860i | ||||
\(765\) | −1.34730 | − | 7.64090i | −0.0487116 | − | 0.276257i | ||||
\(766\) | 12.0312 | − | 4.37900i | 0.434705 | − | 0.158220i | ||||
\(767\) | 17.1064 | − | 29.6291i | 0.617675 | − | 1.06984i | ||||
\(768\) | −0.500000 | − | 0.866025i | −0.0180422 | − | 0.0312500i | ||||
\(769\) | −22.7815 | − | 19.1160i | −0.821523 | − | 0.689340i | 0.131805 | − | 0.991276i | \(-0.457923\pi\) |
−0.953328 | + | 0.301936i | \(0.902367\pi\) | |||||||
\(770\) | 5.98158 | + | 5.01914i | 0.215561 | + | 0.180877i | ||||
\(771\) | −13.1284 | − | 22.7390i | −0.472806 | − | 0.818924i | ||||
\(772\) | −5.75877 | + | 9.97448i | −0.207263 | + | 0.358990i | ||||
\(773\) | −5.39141 | + | 1.96231i | −0.193915 | + | 0.0705794i | −0.437152 | − | 0.899387i | \(-0.644013\pi\) |
0.243237 | + | 0.969967i | \(0.421791\pi\) | |||||||
\(774\) | 0.837496 | + | 4.74968i | 0.0301032 | + | 0.170724i | ||||
\(775\) | −0.943563 | + | 5.35121i | −0.0338938 | + | 0.192221i | ||||
\(776\) | 13.6236 | + | 4.95859i | 0.489059 | + | 0.178003i | ||||
\(777\) | −3.79498 | + | 3.18436i | −0.136144 | + | 0.114238i | ||||
\(778\) | −3.19253 | −0.114458 | ||||||||
\(779\) | −4.26500 | − | 22.2928i | −0.152810 | − | 0.798723i | ||||
\(780\) | −5.00000 | −0.179029 | ||||||||
\(781\) | 8.83069 | − | 7.40983i | 0.315987 | − | 0.265144i | ||||
\(782\) | 60.7529 | + | 22.1122i | 2.17252 | + | 0.790732i | ||||
\(783\) | 0.305407 | − | 1.73205i | 0.0109144 | − | 0.0618984i | ||||
\(784\) | −0.869585 | − | 4.93166i | −0.0310566 | − | 0.176131i | ||||
\(785\) | 6.67277 | − | 2.42869i | 0.238161 | − | 0.0866837i | ||||
\(786\) | −5.10220 | + | 8.83726i | −0.181989 | + | 0.315215i | ||||
\(787\) | −0.687786 | − | 1.19128i | −0.0245169 | − | 0.0424645i | 0.853507 | − | 0.521082i | \(-0.174471\pi\) |
−0.878024 | + | 0.478617i | \(0.841138\pi\) | |||||||
\(788\) | 17.6348 | + | 14.7973i | 0.628212 | + | 0.527132i | ||||
\(789\) | −15.1891 | − | 12.7452i | −0.540747 | − | 0.453741i | ||||
\(790\) | −4.82295 | − | 8.35359i | −0.171593 | − | 0.297207i | ||||
\(791\) | −7.95811 | + | 13.7839i | −0.282958 | + | 0.490097i | ||||
\(792\) | −5.19846 | + | 1.89209i | −0.184719 | + | 0.0672323i | ||||
\(793\) | 8.37496 | + | 47.4968i | 0.297404 | + | 1.68666i | ||||
\(794\) | −0.266044 | + | 1.50881i | −0.00944156 | + | 0.0535458i | ||||
\(795\) | 8.26991 | + | 3.01000i | 0.293304 | + | 0.106754i | ||||
\(796\) | −18.7442 | + | 15.7283i | −0.664371 | + | 0.557474i | ||||
\(797\) | 33.5131 | 1.18709 | 0.593547 | − | 0.804799i | \(-0.297727\pi\) | ||||
0.593547 | + | 0.804799i | \(0.297727\pi\) | |||||||
\(798\) | −5.75031 | + | 2.18788i | −0.203559 | + | 0.0774500i | ||||
\(799\) | 20.7547 | 0.734247 | ||||||||
\(800\) | −0.766044 | + | 0.642788i | −0.0270838 | + | 0.0227260i | ||||
\(801\) | 13.3623 | + | 4.86348i | 0.472134 | + | 0.171843i | ||||
\(802\) | −1.90404 | + | 10.7983i | −0.0672339 | + | 0.381303i | ||||
\(803\) | −0.818505 | − | 4.64197i | −0.0288844 | − | 0.163812i | ||||
\(804\) | 6.49020 | − | 2.36224i | 0.228892 | − | 0.0833098i | ||||
\(805\) | −5.88073 | + | 10.1857i | −0.207268 | + | 0.359000i | ||||
\(806\) | −13.5844 | − | 23.5289i | −0.478490 | − | 0.828770i | ||||
\(807\) | 20.1138 | + | 16.8775i | 0.708040 | + | 0.594116i | ||||
\(808\) | 13.7023 | + | 11.4976i | 0.482046 | + | 0.404485i | ||||
\(809\) | 11.1236 | + | 19.2667i | 0.391085 | + | 0.677379i | 0.992593 | − | 0.121487i | \(-0.0387664\pi\) |
−0.601508 | + | 0.798867i | \(0.705433\pi\) | |||||||
\(810\) | −0.500000 | + | 0.866025i | −0.0175682 | + | 0.0304290i | ||||
\(811\) | −15.5513 | + | 5.66020i | −0.546079 | + | 0.198757i | −0.600304 | − | 0.799772i | \(-0.704954\pi\) |
0.0542244 | + | 0.998529i | \(0.482731\pi\) | |||||||
\(812\) | −0.431074 | − | 2.44474i | −0.0151277 | − | 0.0857937i | ||||
\(813\) | 1.75103 | − | 9.93058i | 0.0614113 | − | 0.348281i | ||||
\(814\) | −18.2456 | − | 6.64084i | −0.639507 | − | 0.232761i | ||||
\(815\) | −1.06418 | + | 0.892951i | −0.0372765 | + | 0.0312787i | ||||
\(816\) | 7.75877 | 0.271611 | ||||||||
\(817\) | −15.9067 | + | 13.7452i | −0.556506 | + | 0.480885i | ||||
\(818\) | 25.7365 | 0.899855 | ||||||||
\(819\) | −5.40626 | + | 4.53639i | −0.188910 | + | 0.158514i | ||||
\(820\) | −4.89306 | − | 1.78093i | −0.170873 | − | 0.0621927i | ||||
\(821\) | −9.29860 | + | 52.7350i | −0.324523 | + | 1.84046i | 0.188480 | + | 0.982077i | \(0.439644\pi\) |
−0.513003 | + | 0.858387i | \(0.671467\pi\) | |||||||
\(822\) | 3.76651 | + | 21.3609i | 0.131372 | + | 0.745049i | ||||
\(823\) | −0.391407 | + | 0.142460i | −0.0136436 | + | 0.00496586i | −0.348833 | − | 0.937185i | \(-0.613422\pi\) |
0.335189 | + | 0.942151i | \(0.391200\pi\) | |||||||
\(824\) | −2.46451 | + | 4.26865i | −0.0858552 | + | 0.148706i | ||||
\(825\) | 2.76604 | + | 4.79093i | 0.0963013 | + | 0.166799i | ||||
\(826\) | −7.39852 | − | 6.20809i | −0.257427 | − | 0.216007i | ||||
\(827\) | −33.2618 | − | 27.9099i | −1.15662 | − | 0.970523i | −0.156771 | − | 0.987635i | \(-0.550109\pi\) |
−0.999854 | + | 0.0171115i | \(0.994553\pi\) | |||||||
\(828\) | −4.16637 | − | 7.21637i | −0.144792 | − | 0.250786i | ||||
\(829\) | 4.47565 | − | 7.75206i | 0.155446 | − | 0.269240i | −0.777775 | − | 0.628542i | \(-0.783652\pi\) |
0.933221 | + | 0.359302i | \(0.116985\pi\) | |||||||
\(830\) | −2.22668 | + | 0.810446i | −0.0772892 | + | 0.0281310i | ||||
\(831\) | 3.13176 | + | 17.7611i | 0.108640 | + | 0.616125i | ||||
\(832\) | 0.868241 | − | 4.92404i | 0.0301008 | − | 0.170710i | ||||
\(833\) | 36.5107 | + | 13.2888i | 1.26502 | + | 0.460430i | ||||
\(834\) | −3.27584 | + | 2.74876i | −0.113433 | + | 0.0951818i | ||||
\(835\) | −16.5963 | −0.574337 | ||||||||
\(836\) | −18.6951 | − | 15.2306i | −0.646582 | − | 0.526761i | ||||
\(837\) | −5.43376 | −0.187818 | ||||||||
\(838\) | 9.02481 | − | 7.57272i | 0.311757 | − | 0.261595i | ||||
\(839\) | 2.40198 | + | 0.874249i | 0.0829255 | + | 0.0301824i | 0.383150 | − | 0.923686i | \(-0.374839\pi\) |
−0.300224 | + | 0.953869i | \(0.597062\pi\) | |||||||
\(840\) | −0.245100 | + | 1.39003i | −0.00845675 | + | 0.0479606i | ||||
\(841\) | −4.49866 | − | 25.5131i | −0.155126 | − | 0.879764i | ||||
\(842\) | 4.10607 | − | 1.49449i | 0.141504 | − | 0.0515034i | ||||
\(843\) | 6.15910 | − | 10.6679i | 0.212131 | − | 0.367421i | ||||
\(844\) | −4.12108 | − | 7.13792i | −0.141853 | − | 0.245697i | ||||
\(845\) | −9.19253 | − | 7.71345i | −0.316233 | − | 0.265351i | ||||
\(846\) | −2.04916 | − | 1.71945i | −0.0704517 | − | 0.0591160i | ||||
\(847\) | 13.8353 | + | 23.9634i | 0.475386 | + | 0.823392i | ||||
\(848\) | −4.40033 | + | 7.62159i | −0.151108 | + | 0.261727i | ||||
\(849\) | −0.800660 | + | 0.291416i | −0.0274786 | + | 0.0100014i | ||||
\(850\) | −1.34730 | − | 7.64090i | −0.0462119 | − | 0.262081i | ||||
\(851\) | 5.07856 | − | 28.8020i | 0.174091 | − | 0.987319i | ||||
\(852\) | 1.95811 | + | 0.712694i | 0.0670838 | + | 0.0244165i | ||||
\(853\) | −10.1107 | + | 8.48384i | −0.346182 | + | 0.290481i | −0.799255 | − | 0.600992i | \(-0.794772\pi\) |
0.453073 | + | 0.891474i | \(0.350328\pi\) | |||||||
\(854\) | 13.6149 | 0.465893 | ||||||||
\(855\) | −4.35844 | + | 0.0632028i | −0.149056 | + | 0.00216149i | ||||
\(856\) | −12.0000 | −0.410152 | ||||||||
\(857\) | 20.6013 | − | 17.2866i | 0.703728 | − | 0.590498i | −0.219104 | − | 0.975702i | \(-0.570313\pi\) |
0.922831 | + | 0.385204i | \(0.125869\pi\) | |||||||
\(858\) | −25.9923 | − | 9.46043i | −0.887363 | − | 0.322974i | ||||
\(859\) | −9.36396 | + | 53.1057i | −0.319494 | + | 1.81194i | 0.226340 | + | 0.974048i | \(0.427324\pi\) |
−0.545834 | + | 0.837893i | \(0.683787\pi\) | |||||||
\(860\) | 0.837496 | + | 4.74968i | 0.0285584 | + | 0.161963i | ||||
\(861\) | −6.90642 | + | 2.51373i | −0.235370 | + | 0.0856678i | ||||
\(862\) | 2.14022 | − | 3.70696i | 0.0728960 | − | 0.126260i | ||||
\(863\) | −17.3478 | − | 30.0472i | −0.590525 | − | 1.02282i | −0.994162 | − | 0.107900i | \(-0.965587\pi\) |
0.403637 | − | 0.914919i | \(-0.367746\pi\) | |||||||
\(864\) | −0.766044 | − | 0.642788i | −0.0260614 | − | 0.0218681i | ||||
\(865\) | 6.68345 | + | 5.60808i | 0.227244 | + | 0.190680i | ||||
\(866\) | −15.8648 | − | 27.4787i | −0.539109 | − | 0.933764i | ||||
\(867\) | −21.5993 | + | 37.4110i | −0.733549 | + | 1.27054i | ||||
\(868\) | −7.20708 | + | 2.62316i | −0.244624 | + | 0.0890360i | ||||
\(869\) | −9.26621 | − | 52.5513i | −0.314335 | − | 1.78268i | ||||
\(870\) | 0.305407 | − | 1.73205i | 0.0103543 | − | 0.0587220i | ||||
\(871\) | 32.4510 | + | 11.8112i | 1.09956 | + | 0.400207i | ||||
\(872\) | −7.22668 | + | 6.06391i | −0.244726 | + | 0.205350i | ||||
\(873\) | 14.4979 | 0.490681 | ||||||||
\(874\) | 17.7028 | − | 31.7155i | 0.598806 | − | 1.07279i | ||||
\(875\) | 1.41147 | 0.0477165 | ||||||||
\(876\) | 0.652704 | − | 0.547683i | 0.0220528 | − | 0.0185045i | ||||
\(877\) | −2.21079 | − | 0.804662i | −0.0746531 | − | 0.0271715i | 0.304424 | − | 0.952537i | \(-0.401536\pi\) |
−0.379077 | + | 0.925365i | \(0.623758\pi\) | |||||||
\(878\) | −2.93582 | + | 16.6499i | −0.0990792 | + | 0.561906i | ||||
\(879\) | −1.09034 | − | 6.18361i | −0.0367761 | − | 0.208568i | ||||
\(880\) | −5.19846 | + | 1.89209i | −0.175240 | + | 0.0637822i | ||||
\(881\) | 8.81449 | − | 15.2671i | 0.296968 | − | 0.514363i | −0.678473 | − | 0.734625i | \(-0.737358\pi\) |
0.975441 | + | 0.220262i | \(0.0706913\pi\) | |||||||
\(882\) | −2.50387 | − | 4.33683i | −0.0843097 | − | 0.146029i | ||||
\(883\) | 6.90167 | + | 5.79119i | 0.232260 | + | 0.194889i | 0.751488 | − | 0.659746i | \(-0.229336\pi\) |
−0.519229 | + | 0.854635i | \(0.673781\pi\) | |||||||
\(884\) | 29.7178 | + | 24.9362i | 0.999518 | + | 0.838695i | ||||
\(885\) | −3.42127 | − | 5.92582i | −0.115005 | − | 0.199194i | ||||
\(886\) | 6.55438 | − | 11.3525i | 0.220199 | − | 0.381395i | ||||
\(887\) | −28.9088 | + | 10.5220i | −0.970664 | + | 0.353293i | −0.778204 | − | 0.628012i | \(-0.783869\pi\) |
−0.192460 | + | 0.981305i | \(0.561647\pi\) | |||||||
\(888\) | −0.609470 | − | 3.45648i | −0.0204525 | − | 0.115992i | ||||
\(889\) | −2.76193 | + | 15.6637i | −0.0926320 | + | 0.525342i | ||||
\(890\) | 13.3623 | + | 4.86348i | 0.447906 | + | 0.163024i | ||||
\(891\) | −4.23783 | + | 3.55596i | −0.141973 | + | 0.119129i | ||||
\(892\) | 16.4388 | 0.550412 | ||||||||
\(893\) | 1.85803 | − | 11.5110i | 0.0621766 | − | 0.385202i | ||||
\(894\) | 11.3892 | 0.380911 | ||||||||
\(895\) | 15.0214 | − | 12.6045i | 0.502110 | − | 0.421321i | ||||
\(896\) | −1.32635 | − | 0.482753i | −0.0443103 | − | 0.0161276i | ||||
\(897\) | 7.23483 | − | 41.0308i | 0.241564 | − | 1.36998i | ||||
\(898\) | −1.51501 | − | 8.59208i | −0.0505567 | − | 0.286721i | ||||
\(899\) | 8.98040 | − | 3.26860i | 0.299513 | − | 0.109014i | ||||
\(900\) | −0.500000 | + | 0.866025i | −0.0166667 | + | 0.0288675i | ||||
\(901\) | −34.1411 | − | 59.1342i | −1.13741 | − | 1.97005i | ||||
\(902\) | −22.0667 | − | 18.5162i | −0.734741 | − | 0.616521i | ||||
\(903\) | 5.21482 | + | 4.37576i | 0.173538 | + | 0.145616i | ||||
\(904\) | −5.63816 | − | 9.76557i | −0.187522 | − | 0.324798i | ||||
\(905\) | 3.69459 | − | 6.39922i | 0.122812 | − | 0.212717i | ||||
\(906\) | 11.2909 | − | 4.10954i | 0.375114 | − | 0.136530i | ||||
\(907\) | 4.91117 | + | 27.8526i | 0.163073 | + | 0.924831i | 0.951029 | + | 0.309101i | \(0.100028\pi\) |
−0.787957 | + | 0.615731i | \(0.788861\pi\) | |||||||
\(908\) | 3.35504 | − | 19.0274i | 0.111341 | − | 0.631445i | ||||
\(909\) | 16.8084 | + | 6.11776i | 0.557499 | + | 0.202913i | ||||
\(910\) | −5.40626 | + | 4.53639i | −0.179216 | + | 0.150380i | ||||
\(911\) | 39.8289 | 1.31959 | 0.659796 | − | 0.751445i | \(-0.270643\pi\) | ||||
0.659796 | + | 0.751445i | \(0.270643\pi\) | |||||||
\(912\) | 0.694593 | − | 4.30320i | 0.0230003 | − | 0.142493i | ||||
\(913\) | −13.1088 | −0.433836 | ||||||||
\(914\) | −7.31315 | + | 6.13646i | −0.241897 | + | 0.202976i | ||||
\(915\) | 9.06418 | + | 3.29909i | 0.299652 | + | 0.109065i | ||||
\(916\) | 2.30541 | − | 13.0746i | 0.0761728 | − | 0.431997i | ||||
\(917\) | 2.50110 | + | 14.1844i | 0.0825935 | + | 0.468411i | ||||
\(918\) | 7.29086 | − | 2.65366i | 0.240634 | − | 0.0875837i | ||||
\(919\) | −21.8999 | + | 37.9318i | −0.722412 | + | 1.25125i | 0.237619 | + | 0.971358i | \(0.423633\pi\) |
−0.960031 | + | 0.279895i | \(0.909700\pi\) | |||||||
\(920\) | −4.16637 | − | 7.21637i | −0.137361 | − | 0.237917i | ||||
\(921\) | 17.9855 | + | 15.0916i | 0.592641 | + | 0.497285i | ||||
\(922\) | −6.01960 | − | 5.05104i | −0.198245 | − | 0.166347i | ||||
\(923\) | 5.20945 | + | 9.02302i | 0.171471 | + | 0.296996i | ||||
\(924\) | −3.90420 | + | 6.76227i | −0.128439 | + | 0.222462i | ||||
\(925\) | −3.29813 | + | 1.20042i | −0.108442 | + | 0.0394696i | ||||
\(926\) | 0.888719 | + | 5.04017i | 0.0292051 | + | 0.165630i | ||||
\(927\) | −0.855914 | + | 4.85413i | −0.0281119 | + | 0.159431i | ||||
\(928\) | 1.65270 | + | 0.601535i | 0.0542527 | + | 0.0197464i | ||||
\(929\) | 14.7758 | − | 12.3984i | 0.484780 | − | 0.406778i | −0.367371 | − | 0.930074i | \(-0.619742\pi\) |
0.852151 | + | 0.523296i | \(0.175298\pi\) | |||||||
\(930\) | −5.43376 | −0.178180 | ||||||||
\(931\) | 10.6389 | − | 19.0601i | 0.348675 | − | 0.624669i | ||||
\(932\) | 6.61081 | 0.216544 | ||||||||
\(933\) | −9.35504 | + | 7.84981i | −0.306270 | + | 0.256991i | ||||
\(934\) | −11.9436 | − | 4.34710i | −0.390805 | − | 0.142242i | ||||
\(935\) | 7.45336 | − | 42.2701i | 0.243751 | − | 1.38238i | ||||
\(936\) | −0.868241 | − | 4.92404i | −0.0283793 | − | 0.160947i | ||||
\(937\) | −53.4074 | + | 19.4387i | −1.74474 | + | 0.635034i | −0.999496 | − | 0.0317548i | \(-0.989890\pi\) |
−0.745247 | + | 0.666789i | \(0.767668\pi\) | |||||||
\(938\) | 4.87433 | − | 8.44259i | 0.159153 | − | 0.275660i | ||||
\(939\) | −14.2909 | − | 24.7525i | −0.466365 | − | 0.807767i | ||||
\(940\) | −2.04916 | − | 1.71945i | −0.0668363 | − | 0.0560823i | ||||
\(941\) | −40.4201 | − | 33.9165i | −1.31766 | − | 1.10565i | −0.986796 | − | 0.161969i | \(-0.948216\pi\) |
−0.330863 | − | 0.943679i | \(-0.607340\pi\) | |||||||
\(942\) | 3.55051 | + | 6.14966i | 0.115682 | + | 0.200367i | ||||
\(943\) | 21.6946 | − | 37.5762i | 0.706475 | − | 1.22365i | ||||
\(944\) | 6.42989 | − | 2.34029i | 0.209275 | − | 0.0761699i | ||||
\(945\) | 0.245100 | + | 1.39003i | 0.00797310 | + | 0.0452177i | ||||
\(946\) | −4.63310 | + | 26.2756i | −0.150635 | + | 0.854295i | ||||
\(947\) | 37.7648 | + | 13.7452i | 1.22719 | + | 0.446661i | 0.872634 | − | 0.488374i | \(-0.162410\pi\) |
0.354556 | + | 0.935035i | \(0.384632\pi\) | |||||||
\(948\) | 7.38919 | − | 6.20026i | 0.239990 | − | 0.201375i | ||||
\(949\) | 4.26022 | 0.138293 | ||||||||
\(950\) | −4.35844 | + | 0.0632028i | −0.141406 | + | 0.00205057i | ||||
\(951\) | −7.50299 | −0.243301 | ||||||||
\(952\) | 8.38919 | − | 7.03936i | 0.271895 | − | 0.228147i | ||||
\(953\) | −12.1557 | − | 4.42431i | −0.393762 | − | 0.143318i | 0.137548 | − | 0.990495i | \(-0.456078\pi\) |
−0.531310 | + | 0.847178i | \(0.678300\pi\) | |||||||
\(954\) | −1.52822 | + | 8.66696i | −0.0494779 | + | 0.280603i | ||||
\(955\) | 3.14290 | + | 17.8243i | 0.101702 | + | 0.576781i | ||||
\(956\) | −4.14796 | + | 1.50973i | −0.134154 | + | 0.0488282i | ||||
\(957\) | 4.86484 | − | 8.42615i | 0.157258 | − | 0.272379i | ||||
\(958\) | 6.51754 | + | 11.2887i | 0.210572 | + | 0.364722i | ||||
\(959\) | 23.4529 | + | 19.6793i | 0.757333 | + | 0.635477i | ||||
\(960\) | −0.766044 | − | 0.642788i | −0.0247240 | − | 0.0207459i | ||||
\(961\) | 0.737111 | + | 1.27671i | 0.0237778 | + | 0.0411843i | ||||
\(962\) | 8.77450 | − | 15.1979i | 0.282901 | − | 0.489999i | ||||
\(963\) | −11.2763 | + | 4.10424i | −0.363374 | + | 0.132257i | ||||
\(964\) | 2.19594 | + | 12.4538i | 0.0707264 | + | 0.401109i | ||||
\(965\) | −2.00000 | + | 11.3426i | −0.0643823 | + | 0.365130i | ||||
\(966\) | −11.0522 | − | 4.02266i | −0.355597 | − | 0.129427i | ||||
\(967\) | −31.4047 | + | 26.3516i | −1.00991 | + | 0.847412i | −0.988326 | − | 0.152355i | \(-0.951314\pi\) |
−0.0215802 | + | 0.999767i | \(0.506870\pi\) | |||||||
\(968\) | −19.6040 | −0.630097 | ||||||||
\(969\) | 26.2199 | + | 21.3609i | 0.842304 | + | 0.686212i | ||||
\(970\) | 14.4979 | 0.465501 | ||||||||
\(971\) | 14.0792 | − | 11.8138i | 0.451823 | − | 0.379124i | −0.388289 | − | 0.921538i | \(-0.626934\pi\) |
0.840112 | + | 0.542413i | \(0.182489\pi\) | |||||||
\(972\) | −0.939693 | − | 0.342020i | −0.0301407 | − | 0.0109703i | ||||
\(973\) | −1.04812 | + | 5.94420i | −0.0336013 | + | 0.190562i | ||||
\(974\) | −0.902856 | − | 5.12035i | −0.0289294 | − | 0.164067i | ||||
\(975\) | −4.69846 | + | 1.71010i | −0.150471 | + | 0.0547671i | ||||
\(976\) | −4.82295 | + | 8.35359i | −0.154379 | + | 0.267392i | ||||
\(977\) | 8.53209 | + | 14.7780i | 0.272966 | + | 0.472790i | 0.969620 | − | 0.244617i | \(-0.0786621\pi\) |
−0.696654 | + | 0.717407i | \(0.745329\pi\) | |||||||
\(978\) | −1.06418 | − | 0.892951i | −0.0340287 | − | 0.0285534i | ||||
\(979\) | 60.2614 | + | 50.5653i | 1.92596 | + | 1.61607i | ||||
\(980\) | −2.50387 | − | 4.33683i | −0.0799832 | − | 0.138535i | ||||
\(981\) | −4.71688 | + | 8.16988i | −0.150598 | + | 0.260844i | ||||
\(982\) | 6.07145 | − | 2.20983i | 0.193748 | − | 0.0705184i | ||||
\(983\) | −2.07057 | − | 11.7428i | −0.0660411 | − | 0.374537i | −0.999859 | − | 0.0167890i | \(-0.994656\pi\) |
0.933818 | − | 0.357748i | \(-0.116455\pi\) | |||||||
\(984\) | 0.904200 | − | 5.12797i | 0.0288248 | − | 0.163474i | ||||
\(985\) | 21.6322 | + | 7.87349i | 0.689260 | + | 0.250870i | ||||
\(986\) | −10.4534 | + | 8.77141i | −0.332903 | + | 0.279339i | ||||
\(987\) | −3.77568 | −0.120181 | ||||||||
\(988\) | 16.4907 | − | 14.2498i | 0.524638 | − | 0.453348i | ||||
\(989\) | −40.1884 | −1.27792 | ||||||||
\(990\) | −4.23783 | + | 3.55596i | −0.134687 | + | 0.113016i | ||||
\(991\) | −14.3405 | − | 5.21951i | −0.455541 | − | 0.165803i | 0.104051 | − | 0.994572i | \(-0.466820\pi\) |
−0.559591 | + | 0.828769i | \(0.689042\pi\) | |||||||
\(992\) | 0.943563 | − | 5.35121i | 0.0299582 | − | 0.169901i | ||||
\(993\) | −1.50593 | − | 8.54055i | −0.0477892 | − | 0.271026i | ||||
\(994\) | 2.76382 | − | 1.00595i | 0.0876631 | − | 0.0319068i | ||||
\(995\) | −12.2344 | + | 21.1906i | −0.387857 | + | 0.671788i | ||||
\(996\) | −1.18479 | − | 2.05212i | −0.0375416 | − | 0.0650239i | ||||
\(997\) | −11.1866 | − | 9.38667i | −0.354283 | − | 0.297279i | 0.448224 | − | 0.893921i | \(-0.352057\pi\) |
−0.802507 | + | 0.596642i | \(0.796501\pi\) | |||||||
\(998\) | 21.8855 | + | 18.3641i | 0.692774 | + | 0.581307i | ||||
\(999\) | −1.75490 | − | 3.03958i | −0.0555226 | − | 0.0961679i |
(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.481.1 | yes | 6 | |
19.16 | even | 9 | inner | 570.2.u.b.301.1 | ✓ | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.u.b.301.1 | ✓ | 6 | 19.16 | even | 9 | inner | |
570.2.u.b.481.1 | yes | 6 | 1.1 | even | 1 | trivial |