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.a.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 | ||||
\(7\) | −2.35844 | + | 4.08494i | −0.891407 | + | 1.54396i | −0.0532172 | + | 0.998583i | \(0.516948\pi\) |
−0.838190 | + | 0.545379i | \(0.816386\pi\) | |||||||
\(8\) | 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 | ||||
\(11\) | 0.766044 | + | 1.32683i | 0.230971 | + | 0.400054i | 0.958094 | − | 0.286453i | \(-0.0924764\pi\) |
−0.727123 | + | 0.686507i | \(0.759143\pi\) | |||||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | −2.24510 | + | 0.817150i | −0.622679 | + | 0.226637i | −0.634042 | − | 0.773299i | \(-0.718605\pi\) |
0.0113629 | + | 0.999935i | \(0.496383\pi\) | |||||||
\(14\) | −0.819078 | − | 4.64522i | −0.218908 | − | 1.24149i | ||||
\(15\) | 0.173648 | − | 0.984808i | 0.0448358 | − | 0.254276i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −0.184793 | + | 0.155059i | −0.0448188 | + | 0.0376074i | −0.664922 | − | 0.746913i | \(-0.731535\pi\) |
0.620103 | + | 0.784520i | \(0.287091\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | −2.23396 | − | 3.74292i | −0.512505 | − | 0.858685i | ||||
\(20\) | −1.00000 | −0.223607 | ||||||||
\(21\) | −3.61334 | + | 3.03195i | −0.788496 | + | 0.661626i | ||||
\(22\) | −1.43969 | − | 0.524005i | −0.306943 | − | 0.111718i | ||||
\(23\) | −1.16385 | + | 6.60051i | −0.242679 | + | 1.37630i | 0.583142 | + | 0.812370i | \(0.301823\pi\) |
−0.825822 | + | 0.563932i | \(0.809288\pi\) | |||||||
\(24\) | 0.173648 | + | 0.984808i | 0.0354458 | + | 0.201023i | ||||
\(25\) | −0.939693 | + | 0.342020i | −0.187939 | + | 0.0684040i | ||||
\(26\) | 1.19459 | − | 2.06910i | 0.234279 | − | 0.405783i | ||||
\(27\) | 0.500000 | + | 0.866025i | 0.0962250 | + | 0.166667i | ||||
\(28\) | 3.61334 | + | 3.03195i | 0.682857 | + | 0.572985i | ||||
\(29\) | 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 | ||||
\(31\) | −3.41147 | + | 5.90885i | −0.612719 | + | 1.06126i | 0.378061 | + | 0.925781i | \(0.376591\pi\) |
−0.990780 | + | 0.135480i | \(0.956742\pi\) | |||||||
\(32\) | 0.939693 | − | 0.342020i | 0.166116 | − | 0.0604612i | ||||
\(33\) | 0.266044 | + | 1.50881i | 0.0463124 | + | 0.262651i | ||||
\(34\) | 0.0418891 | − | 0.237565i | 0.00718392 | − | 0.0407420i | ||||
\(35\) | 4.43242 | + | 1.61327i | 0.749215 | + | 0.272692i | ||||
\(36\) | 0.766044 | − | 0.642788i | 0.127674 | − | 0.107131i | ||||
\(37\) | −9.39693 | −1.54485 | −0.772423 | − | 0.635109i | \(-0.780955\pi\) | ||||
−0.772423 | + | 0.635109i | \(0.780955\pi\) | |||||||
\(38\) | 4.11721 | + | 1.43128i | 0.667900 | + | 0.232185i | ||||
\(39\) | −2.38919 | −0.382576 | ||||||||
\(40\) | 0.766044 | − | 0.642788i | 0.121122 | − | 0.101634i | ||||
\(41\) | 11.2626 | + | 4.09927i | 1.75893 | + | 0.640198i | 0.999941 | − | 0.0109063i | \(-0.00347164\pi\) |
0.758988 | + | 0.651104i | \(0.225694\pi\) | |||||||
\(42\) | 0.819078 | − | 4.64522i | 0.126386 | − | 0.716773i | ||||
\(43\) | 1.29086 | + | 7.32083i | 0.196854 | + | 1.11642i | 0.909753 | + | 0.415149i | \(0.136271\pi\) |
−0.712899 | + | 0.701267i | \(0.752618\pi\) | |||||||
\(44\) | 1.43969 | − | 0.524005i | 0.217042 | − | 0.0789968i | ||||
\(45\) | 0.500000 | − | 0.866025i | 0.0745356 | − | 0.129099i | ||||
\(46\) | −3.35117 | − | 5.80439i | −0.494103 | − | 0.855811i | ||||
\(47\) | 4.17752 | + | 3.50535i | 0.609354 | + | 0.511308i | 0.894437 | − | 0.447194i | \(-0.147577\pi\) |
−0.285083 | + | 0.958503i | \(0.592021\pi\) | |||||||
\(48\) | −0.766044 | − | 0.642788i | −0.110569 | − | 0.0927784i | ||||
\(49\) | −7.62449 | − | 13.2060i | −1.08921 | − | 1.88657i | ||||
\(50\) | 0.500000 | − | 0.866025i | 0.0707107 | − | 0.122474i | ||||
\(51\) | −0.226682 | + | 0.0825054i | −0.0317418 | + | 0.0115531i | ||||
\(52\) | 0.414878 | + | 2.35289i | 0.0575332 | + | 0.326287i | ||||
\(53\) | 1.04576 | − | 5.93080i | 0.143646 | − | 0.814658i | −0.824798 | − | 0.565427i | \(-0.808711\pi\) |
0.968444 | − | 0.249230i | \(-0.0801776\pi\) | |||||||
\(54\) | −0.939693 | − | 0.342020i | −0.127876 | − | 0.0465430i | ||||
\(55\) | 1.17365 | − | 0.984808i | 0.158255 | − | 0.132791i | ||||
\(56\) | −4.71688 | −0.630320 | ||||||||
\(57\) | −0.819078 | − | 4.28125i | −0.108490 | − | 0.567066i | ||||
\(58\) | −1.75877 | −0.230938 | ||||||||
\(59\) | −7.24170 | + | 6.07650i | −0.942789 | + | 0.791094i | −0.978068 | − | 0.208284i | \(-0.933212\pi\) |
0.0352798 | + | 0.999377i | \(0.488768\pi\) | |||||||
\(60\) | −0.939693 | − | 0.342020i | −0.121314 | − | 0.0441546i | ||||
\(61\) | 0.453363 | − | 2.57115i | 0.0580472 | − | 0.329202i | −0.941931 | − | 0.335807i | \(-0.890991\pi\) |
0.999978 | + | 0.00660445i | \(0.00210228\pi\) | |||||||
\(62\) | −1.18479 | − | 6.71929i | −0.150469 | − | 0.853351i | ||||
\(63\) | −4.43242 | + | 1.61327i | −0.558432 | + | 0.203253i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 1.19459 | + | 2.06910i | 0.148171 | + | 0.256640i | ||||
\(66\) | −1.17365 | − | 0.984808i | −0.144466 | − | 0.121221i | ||||
\(67\) | −3.16250 | − | 2.65366i | −0.386361 | − | 0.324196i | 0.428832 | − | 0.903384i | \(-0.358925\pi\) |
−0.815194 | + | 0.579188i | \(0.803370\pi\) | |||||||
\(68\) | 0.120615 | + | 0.208911i | 0.0146267 | + | 0.0253342i | ||||
\(69\) | −3.35117 | + | 5.80439i | −0.403433 | + | 0.698767i | ||||
\(70\) | −4.43242 | + | 1.61327i | −0.529775 | + | 0.192822i | ||||
\(71\) | −1.26857 | − | 7.19442i | −0.150552 | − | 0.853821i | −0.962741 | − | 0.270426i | \(-0.912835\pi\) |
0.812189 | − | 0.583394i | \(-0.198276\pi\) | |||||||
\(72\) | −0.173648 | + | 0.984808i | −0.0204646 | + | 0.116061i | ||||
\(73\) | 4.10607 | + | 1.49449i | 0.480579 | + | 0.174916i | 0.570939 | − | 0.820993i | \(-0.306579\pi\) |
−0.0903597 | + | 0.995909i | \(0.528802\pi\) | |||||||
\(74\) | 7.19846 | − | 6.04023i | 0.836804 | − | 0.702162i | ||||
\(75\) | −1.00000 | −0.115470 | ||||||||
\(76\) | −4.07398 | + | 1.55007i | −0.467317 | + | 0.177805i | ||||
\(77\) | −7.22668 | −0.823557 | ||||||||
\(78\) | 1.83022 | − | 1.53574i | 0.207232 | − | 0.173888i | ||||
\(79\) | 9.06418 | + | 3.29909i | 1.01980 | + | 0.371177i | 0.797188 | − | 0.603731i | \(-0.206320\pi\) |
0.222611 | + | 0.974907i | \(0.428542\pi\) | |||||||
\(80\) | −0.173648 | + | 0.984808i | −0.0194145 | + | 0.110105i | ||||
\(81\) | 0.173648 | + | 0.984808i | 0.0192942 | + | 0.109423i | ||||
\(82\) | −11.2626 | + | 4.09927i | −1.24375 | + | 0.452688i | ||||
\(83\) | 4.94356 | − | 8.56250i | 0.542627 | − | 0.939857i | −0.456126 | − | 0.889915i | \(-0.650763\pi\) |
0.998752 | − | 0.0499413i | \(-0.0159034\pi\) | |||||||
\(84\) | 2.35844 | + | 4.08494i | 0.257327 | + | 0.445703i | ||||
\(85\) | 0.184793 | + | 0.155059i | 0.0200436 | + | 0.0168185i | ||||
\(86\) | −5.69459 | − | 4.77833i | −0.614064 | − | 0.515261i | ||||
\(87\) | 0.879385 | + | 1.52314i | 0.0942800 | + | 0.163298i | ||||
\(88\) | −0.766044 | + | 1.32683i | −0.0816606 | + | 0.141440i | ||||
\(89\) | 4.75150 | − | 1.72940i | 0.503658 | − | 0.183316i | −0.0776808 | − | 0.996978i | \(-0.524751\pi\) |
0.581338 | + | 0.813662i | \(0.302529\pi\) | |||||||
\(90\) | 0.173648 | + | 0.984808i | 0.0183041 | + | 0.103808i | ||||
\(91\) | 1.95693 | − | 11.0983i | 0.205142 | − | 1.16342i | ||||
\(92\) | 6.29813 | + | 2.29233i | 0.656626 | + | 0.238992i | ||||
\(93\) | −5.22668 | + | 4.38571i | −0.541982 | + | 0.454777i | ||||
\(94\) | −5.45336 | −0.562471 | ||||||||
\(95\) | −3.29813 | + | 2.84997i | −0.338381 | + | 0.292401i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | −4.41147 | + | 3.70167i | −0.447917 | + | 0.375847i | −0.838662 | − | 0.544652i | \(-0.816662\pi\) |
0.390745 | + | 0.920499i | \(0.372217\pi\) | |||||||
\(98\) | 14.3293 | + | 5.21546i | 1.44748 | + | 0.526841i | ||||
\(99\) | −0.266044 | + | 1.50881i | −0.0267385 | + | 0.151641i | ||||
\(100\) | 0.173648 | + | 0.984808i | 0.0173648 | + | 0.0984808i | ||||
\(101\) | −9.74422 | + | 3.54661i | −0.969586 | + | 0.352901i | −0.777783 | − | 0.628533i | \(-0.783656\pi\) |
−0.191803 | + | 0.981433i | \(0.561434\pi\) | |||||||
\(102\) | 0.120615 | − | 0.208911i | 0.0119426 | − | 0.0206853i | ||||
\(103\) | 7.40033 | + | 12.8177i | 0.729176 | + | 1.26297i | 0.957232 | + | 0.289322i | \(0.0934298\pi\) |
−0.228056 | + | 0.973648i | \(0.573237\pi\) | |||||||
\(104\) | −1.83022 | − | 1.53574i | −0.179468 | − | 0.150592i | ||||
\(105\) | 3.61334 | + | 3.03195i | 0.352626 | + | 0.295888i | ||||
\(106\) | 3.01114 | + | 5.21546i | 0.292468 | + | 0.506570i | ||||
\(107\) | 5.51754 | − | 9.55666i | 0.533401 | − | 0.923877i | −0.465838 | − | 0.884870i | \(-0.654247\pi\) |
0.999239 | − | 0.0390074i | \(-0.0124196\pi\) | |||||||
\(108\) | 0.939693 | − | 0.342020i | 0.0904220 | − | 0.0329109i | ||||
\(109\) | −1.87939 | − | 10.6585i | −0.180012 | − | 1.02090i | −0.932198 | − | 0.361950i | \(-0.882111\pi\) |
0.752185 | − | 0.658952i | \(-0.229000\pi\) | |||||||
\(110\) | −0.266044 | + | 1.50881i | −0.0253663 | + | 0.143860i | ||||
\(111\) | −8.83022 | − | 3.21394i | −0.838128 | − | 0.305053i | ||||
\(112\) | 3.61334 | − | 3.03195i | 0.341429 | − | 0.286493i | ||||
\(113\) | 11.7588 | 1.10617 | 0.553086 | − | 0.833124i | \(-0.313450\pi\) | ||||
0.553086 | + | 0.833124i | \(0.313450\pi\) | |||||||
\(114\) | 3.37939 | + | 2.75314i | 0.316508 | + | 0.257855i | ||||
\(115\) | 6.70233 | 0.624996 | ||||||||
\(116\) | 1.34730 | − | 1.13052i | 0.125093 | − | 0.104966i | ||||
\(117\) | −2.24510 | − | 0.817150i | −0.207560 | − | 0.0755455i | ||||
\(118\) | 1.64156 | − | 9.30975i | 0.151118 | − | 0.857032i | ||||
\(119\) | −0.197586 | − | 1.12056i | −0.0181127 | − | 0.102722i | ||||
\(120\) | 0.939693 | − | 0.342020i | 0.0857818 | − | 0.0312220i | ||||
\(121\) | 4.32635 | − | 7.49346i | 0.393305 | − | 0.681224i | ||||
\(122\) | 1.30541 | + | 2.26103i | 0.118186 | + | 0.204704i | ||||
\(123\) | 9.18139 | + | 7.70410i | 0.827858 | + | 0.694655i | ||||
\(124\) | 5.22668 | + | 4.38571i | 0.469370 | + | 0.393848i | ||||
\(125\) | 0.500000 | + | 0.866025i | 0.0447214 | + | 0.0774597i | ||||
\(126\) | 2.35844 | − | 4.08494i | 0.210107 | − | 0.363915i | ||||
\(127\) | 20.5744 | − | 7.48849i | 1.82569 | − | 0.664496i | 0.831670 | − | 0.555271i | \(-0.187385\pi\) |
0.994017 | − | 0.109225i | \(-0.0348369\pi\) | |||||||
\(128\) | −0.173648 | − | 0.984808i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | −1.29086 | + | 7.32083i | −0.113654 | + | 0.644563i | ||||
\(130\) | −2.24510 | − | 0.817150i | −0.196908 | − | 0.0716688i | ||||
\(131\) | 8.19846 | − | 6.87933i | 0.716303 | − | 0.601050i | −0.210057 | − | 0.977689i | \(-0.567365\pi\) |
0.926360 | + | 0.376640i | \(0.122920\pi\) | |||||||
\(132\) | 1.53209 | 0.133351 | ||||||||
\(133\) | 20.5582 | − | 0.298120i | 1.78263 | − | 0.0258503i | ||||
\(134\) | 4.12836 | 0.356636 | ||||||||
\(135\) | 0.766044 | − | 0.642788i | 0.0659306 | − | 0.0553223i | ||||
\(136\) | −0.226682 | − | 0.0825054i | −0.0194378 | − | 0.00707478i | ||||
\(137\) | −0.248970 | + | 1.41198i | −0.0212710 | + | 0.120634i | −0.993594 | − | 0.113005i | \(-0.963952\pi\) |
0.972323 | + | 0.233639i | \(0.0750634\pi\) | |||||||
\(138\) | −1.16385 | − | 6.60051i | −0.0990733 | − | 0.561873i | ||||
\(139\) | −14.1468 | + | 5.14900i | −1.19991 | + | 0.436733i | −0.863194 | − | 0.504872i | \(-0.831540\pi\) |
−0.336720 | + | 0.941605i | \(0.609317\pi\) | |||||||
\(140\) | 2.35844 | − | 4.08494i | 0.199325 | − | 0.345240i | ||||
\(141\) | 2.72668 | + | 4.72275i | 0.229628 | + | 0.397727i | ||||
\(142\) | 5.59627 | + | 4.69583i | 0.469628 | + | 0.394065i | ||||
\(143\) | −2.80406 | − | 2.35289i | −0.234488 | − | 0.196758i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | 0.879385 | − | 1.52314i | 0.0730290 | − | 0.126490i | ||||
\(146\) | −4.10607 | + | 1.49449i | −0.339821 | + | 0.123685i | ||||
\(147\) | −2.64796 | − | 15.0173i | −0.218400 | − | 1.23861i | ||||
\(148\) | −1.63176 | + | 9.25417i | −0.134130 | + | 0.760688i | ||||
\(149\) | 12.0915 | + | 4.40095i | 0.990576 | + | 0.360540i | 0.785943 | − | 0.618299i | \(-0.212178\pi\) |
0.204633 | + | 0.978839i | \(0.434400\pi\) | |||||||
\(150\) | 0.766044 | − | 0.642788i | 0.0625473 | − | 0.0524834i | ||||
\(151\) | −0.241230 | −0.0196310 | −0.00981549 | − | 0.999952i | \(-0.503124\pi\) | ||||
−0.00981549 | + | 0.999952i | \(0.503124\pi\) | |||||||
\(152\) | 2.12449 | − | 3.80612i | 0.172319 | − | 0.308717i | ||||
\(153\) | −0.241230 | −0.0195023 | ||||||||
\(154\) | 5.53596 | − | 4.64522i | 0.446100 | − | 0.374323i | ||||
\(155\) | 6.41147 | + | 2.33359i | 0.514982 | + | 0.187438i | ||||
\(156\) | −0.414878 | + | 2.35289i | −0.0332168 | + | 0.188382i | ||||
\(157\) | −0.0432332 | − | 0.245188i | −0.00345039 | − | 0.0195681i | 0.983034 | − | 0.183424i | \(-0.0587180\pi\) |
−0.986484 | + | 0.163856i | \(0.947607\pi\) | |||||||
\(158\) | −9.06418 | + | 3.29909i | −0.721107 | + | 0.262462i | ||||
\(159\) | 3.01114 | − | 5.21546i | 0.238799 | − | 0.413612i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | −24.2178 | − | 20.3212i | −1.90863 | − | 1.60153i | ||||
\(162\) | −0.766044 | − | 0.642788i | −0.0601861 | − | 0.0505022i | ||||
\(163\) | 2.82295 | + | 4.88949i | 0.221110 | + | 0.382974i | 0.955145 | − | 0.296137i | \(-0.0956986\pi\) |
−0.734035 | + | 0.679112i | \(0.762365\pi\) | |||||||
\(164\) | 5.99273 | − | 10.3797i | 0.467953 | − | 0.810519i | ||||
\(165\) | 1.43969 | − | 0.524005i | 0.112080 | − | 0.0407938i | ||||
\(166\) | 1.71688 | + | 9.73692i | 0.133256 | + | 0.755731i | ||||
\(167\) | 2.23190 | − | 12.6577i | 0.172709 | − | 0.979483i | −0.768045 | − | 0.640395i | \(-0.778771\pi\) |
0.940755 | − | 0.339088i | \(-0.110118\pi\) | |||||||
\(168\) | −4.43242 | − | 1.61327i | −0.341969 | − | 0.124466i | ||||
\(169\) | −5.58584 | + | 4.68707i | −0.429680 | + | 0.360544i | ||||
\(170\) | −0.241230 | −0.0185015 | ||||||||
\(171\) | 0.694593 | − | 4.30320i | 0.0531168 | − | 0.329074i | ||||
\(172\) | 7.43376 | 0.566819 | ||||||||
\(173\) | −9.55097 | + | 8.01422i | −0.726147 | + | 0.609310i | −0.929078 | − | 0.369883i | \(-0.879398\pi\) |
0.202931 | + | 0.979193i | \(0.434953\pi\) | |||||||
\(174\) | −1.65270 | − | 0.601535i | −0.125291 | − | 0.0456022i | ||||
\(175\) | 0.819078 | − | 4.64522i | 0.0619165 | − | 0.351146i | ||||
\(176\) | −0.266044 | − | 1.50881i | −0.0200539 | − | 0.113731i | ||||
\(177\) | −8.88326 | + | 3.23324i | −0.667706 | + | 0.243025i | ||||
\(178\) | −2.52822 | + | 4.37900i | −0.189498 | + | 0.328220i | ||||
\(179\) | −5.55556 | − | 9.62251i | −0.415242 | − | 0.719220i | 0.580212 | − | 0.814466i | \(-0.302970\pi\) |
−0.995454 | + | 0.0952453i | \(0.969636\pi\) | |||||||
\(180\) | −0.766044 | − | 0.642788i | −0.0570976 | − | 0.0479106i | ||||
\(181\) | 6.79292 | + | 5.69994i | 0.504914 | + | 0.423673i | 0.859335 | − | 0.511413i | \(-0.170878\pi\) |
−0.354421 | + | 0.935086i | \(0.615322\pi\) | |||||||
\(182\) | 5.63475 | + | 9.75968i | 0.417676 | + | 0.723435i | ||||
\(183\) | 1.30541 | − | 2.26103i | 0.0964985 | − | 0.167140i | ||||
\(184\) | −6.29813 | + | 2.29233i | −0.464305 | + | 0.168993i | ||||
\(185\) | 1.63176 | + | 9.25417i | 0.119969 | + | 0.680380i | ||||
\(186\) | 1.18479 | − | 6.71929i | 0.0868732 | − | 0.492682i | ||||
\(187\) | −0.347296 | − | 0.126406i | −0.0253968 | − | 0.00924369i | ||||
\(188\) | 4.17752 | − | 3.50535i | 0.304677 | − | 0.255654i | ||||
\(189\) | −4.71688 | −0.343103 | ||||||||
\(190\) | 0.694593 | − | 4.30320i | 0.0503911 | − | 0.312187i | ||||
\(191\) | 11.9709 | 0.866184 | 0.433092 | − | 0.901350i | \(-0.357422\pi\) | ||||
0.433092 | + | 0.901350i | \(0.357422\pi\) | |||||||
\(192\) | −0.766044 | + | 0.642788i | −0.0552845 | + | 0.0463892i | ||||
\(193\) | 8.21213 | + | 2.98897i | 0.591122 | + | 0.215151i | 0.620223 | − | 0.784426i | \(-0.287042\pi\) |
−0.0291007 | + | 0.999576i | \(0.509264\pi\) | |||||||
\(194\) | 1.00000 | − | 5.67128i | 0.0717958 | − | 0.407174i | ||||
\(195\) | 0.414878 | + | 2.35289i | 0.0297100 | + | 0.168494i | ||||
\(196\) | −14.3293 | + | 5.21546i | −1.02352 | + | 0.372533i | ||||
\(197\) | −9.38191 | + | 16.2499i | −0.668434 | + | 1.15776i | 0.309909 | + | 0.950766i | \(0.399702\pi\) |
−0.978342 | + | 0.206994i | \(0.933632\pi\) | |||||||
\(198\) | −0.766044 | − | 1.32683i | −0.0544404 | − | 0.0942936i | ||||
\(199\) | −5.09833 | − | 4.27800i | −0.361411 | − | 0.303260i | 0.443942 | − | 0.896056i | \(-0.353580\pi\) |
−0.805353 | + | 0.592796i | \(0.798024\pi\) | |||||||
\(200\) | −0.766044 | − | 0.642788i | −0.0541675 | − | 0.0454519i | ||||
\(201\) | −2.06418 | − | 3.57526i | −0.145596 | − | 0.252179i | ||||
\(202\) | 5.18479 | − | 8.98032i | 0.364801 | − | 0.631853i | ||||
\(203\) | −7.79561 | + | 2.83737i | −0.547144 | + | 0.199144i | ||||
\(204\) | 0.0418891 | + | 0.237565i | 0.00293282 | + | 0.0166329i | ||||
\(205\) | 2.08125 | − | 11.8034i | 0.145361 | − | 0.824383i | ||||
\(206\) | −13.9081 | − | 5.06212i | −0.969021 | − | 0.352695i | ||||
\(207\) | −5.13429 | + | 4.30818i | −0.356857 | + | 0.299439i | ||||
\(208\) | 2.38919 | 0.165660 | ||||||||
\(209\) | 3.25490 | − | 5.83132i | 0.225146 | − | 0.403361i | ||||
\(210\) | −4.71688 | −0.325496 | ||||||||
\(211\) | 12.4422 | − | 10.4403i | 0.856558 | − | 0.718737i | −0.104666 | − | 0.994507i | \(-0.533377\pi\) |
0.961224 | + | 0.275770i | \(0.0889329\pi\) | |||||||
\(212\) | −5.65910 | − | 2.05974i | −0.388669 | − | 0.141464i | ||||
\(213\) | 1.26857 | − | 7.19442i | 0.0869210 | − | 0.492954i | ||||
\(214\) | 1.91622 | + | 10.8674i | 0.130990 | + | 0.742883i | ||||
\(215\) | 6.98545 | − | 2.54250i | 0.476404 | − | 0.173397i | ||||
\(216\) | −0.500000 | + | 0.866025i | −0.0340207 | + | 0.0589256i | ||||
\(217\) | −16.0915 | − | 27.8713i | −1.09236 | − | 1.89203i | ||||
\(218\) | 8.29086 | + | 6.95686i | 0.561528 | + | 0.471178i | ||||
\(219\) | 3.34730 | + | 2.80872i | 0.226189 | + | 0.189795i | ||||
\(220\) | −0.766044 | − | 1.32683i | −0.0516467 | − | 0.0894547i | ||||
\(221\) | 0.288171 | − | 0.499127i | 0.0193845 | − | 0.0335749i | ||||
\(222\) | 8.83022 | − | 3.21394i | 0.592646 | − | 0.215705i | ||||
\(223\) | 4.77079 | + | 27.0565i | 0.319476 | + | 1.81184i | 0.545947 | + | 0.837820i | \(0.316170\pi\) |
−0.226471 | + | 0.974018i | \(0.572719\pi\) | |||||||
\(224\) | −0.819078 | + | 4.64522i | −0.0547269 | + | 0.310372i | ||||
\(225\) | −0.939693 | − | 0.342020i | −0.0626462 | − | 0.0228013i | ||||
\(226\) | −9.00774 | + | 7.55839i | −0.599186 | + | 0.502777i | ||||
\(227\) | 0.0290958 | 0.00193116 | 0.000965579 | − | 1.00000i | \(-0.499693\pi\) | ||||
0.000965579 | 1.00000i | \(0.499693\pi\) | ||||||||
\(228\) | −4.35844 | + | 0.0632028i | −0.288645 | + | 0.00418571i | ||||
\(229\) | −20.5371 | −1.35713 | −0.678566 | − | 0.734539i | \(-0.737398\pi\) | ||||
−0.678566 | + | 0.734539i | \(0.737398\pi\) | |||||||
\(230\) | −5.13429 | + | 4.30818i | −0.338545 | + | 0.284073i | ||||
\(231\) | −6.79086 | − | 2.47167i | −0.446806 | − | 0.162624i | ||||
\(232\) | −0.305407 | + | 1.73205i | −0.0200510 | + | 0.113715i | ||||
\(233\) | −1.14796 | − | 6.51038i | −0.0752051 | − | 0.426509i | −0.999044 | − | 0.0437266i | \(-0.986077\pi\) |
0.923838 | − | 0.382783i | \(-0.125034\pi\) | |||||||
\(234\) | 2.24510 | − | 0.817150i | 0.146767 | − | 0.0534187i | ||||
\(235\) | 2.72668 | − | 4.72275i | 0.177869 | − | 0.308078i | ||||
\(236\) | 4.72668 | + | 8.18685i | 0.307681 | + | 0.532919i | ||||
\(237\) | 7.38919 | + | 6.20026i | 0.479979 | + | 0.402750i | ||||
\(238\) | 0.871644 | + | 0.731397i | 0.0565003 | + | 0.0474094i | ||||
\(239\) | 7.92127 | + | 13.7200i | 0.512385 | + | 0.887476i | 0.999897 | + | 0.0143601i | \(0.00457111\pi\) |
−0.487512 | + | 0.873116i | \(0.662096\pi\) | |||||||
\(240\) | −0.500000 | + | 0.866025i | −0.0322749 | + | 0.0559017i | ||||
\(241\) | 6.24510 | − | 2.27303i | 0.402282 | − | 0.146419i | −0.132952 | − | 0.991122i | \(-0.542446\pi\) |
0.535234 | + | 0.844704i | \(0.320223\pi\) | |||||||
\(242\) | 1.50253 | + | 8.52125i | 0.0965860 | + | 0.547767i | ||||
\(243\) | −0.173648 | + | 0.984808i | −0.0111395 | + | 0.0631754i | ||||
\(244\) | −2.45336 | − | 0.892951i | −0.157060 | − | 0.0571653i | ||||
\(245\) | −11.6814 | + | 9.80185i | −0.746297 | + | 0.626217i | ||||
\(246\) | −11.9855 | −0.764165 | ||||||||
\(247\) | 8.07398 | + | 6.57775i | 0.513735 | + | 0.418532i | ||||
\(248\) | −6.82295 | −0.433258 | ||||||||
\(249\) | 7.57398 | − | 6.35532i | 0.479981 | − | 0.402752i | ||||
\(250\) | −0.939693 | − | 0.342020i | −0.0594314 | − | 0.0216313i | ||||
\(251\) | −5.03074 | + | 28.5308i | −0.317538 | + | 1.80085i | 0.240085 | + | 0.970752i | \(0.422825\pi\) |
−0.557623 | + | 0.830094i | \(0.688286\pi\) | |||||||
\(252\) | 0.819078 | + | 4.64522i | 0.0515971 | + | 0.292621i | ||||
\(253\) | −9.64930 | + | 3.51206i | −0.606646 | + | 0.220801i | ||||
\(254\) | −10.9474 | + | 18.9615i | −0.686903 | + | 1.18975i | ||||
\(255\) | 0.120615 | + | 0.208911i | 0.00755319 | + | 0.0130825i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 9.98545 | + | 8.37879i | 0.622875 | + | 0.522655i | 0.898706 | − | 0.438552i | \(-0.144508\pi\) |
−0.275831 | + | 0.961206i | \(0.588953\pi\) | |||||||
\(258\) | −3.71688 | − | 6.43783i | −0.231403 | − | 0.400802i | ||||
\(259\) | 22.1621 | − | 38.3859i | 1.37709 | − | 2.38518i | ||||
\(260\) | 2.24510 | − | 0.817150i | 0.139235 | − | 0.0506775i | ||||
\(261\) | 0.305407 | + | 1.73205i | 0.0189042 | + | 0.107211i | ||||
\(262\) | −1.85844 | + | 10.5397i | −0.114815 | + | 0.651147i | ||||
\(263\) | 1.89306 | + | 0.689016i | 0.116731 | + | 0.0424865i | 0.399725 | − | 0.916635i | \(-0.369106\pi\) |
−0.282994 | + | 0.959122i | \(0.591328\pi\) | |||||||
\(264\) | −1.17365 | + | 0.984808i | −0.0722331 | + | 0.0606107i | ||||
\(265\) | −6.02229 | −0.369946 | ||||||||
\(266\) | −15.5569 | + | 13.4430i | −0.953855 | + | 0.824241i | ||||
\(267\) | 5.05644 | 0.309449 | ||||||||
\(268\) | −3.16250 | + | 2.65366i | −0.193181 | + | 0.162098i | ||||
\(269\) | 19.5253 | + | 7.10662i | 1.19048 | + | 0.433298i | 0.859891 | − | 0.510477i | \(-0.170531\pi\) |
0.330586 | + | 0.943776i | \(0.392754\pi\) | |||||||
\(270\) | −0.173648 | + | 0.984808i | −0.0105679 | + | 0.0599335i | ||||
\(271\) | 4.04694 | + | 22.9513i | 0.245834 | + | 1.39419i | 0.818547 | + | 0.574439i | \(0.194780\pi\) |
−0.572713 | + | 0.819756i | \(0.694109\pi\) | |||||||
\(272\) | 0.226682 | − | 0.0825054i | 0.0137446 | − | 0.00500262i | ||||
\(273\) | 5.63475 | − | 9.75968i | 0.341031 | − | 0.590683i | ||||
\(274\) | −0.716881 | − | 1.24168i | −0.0433084 | − | 0.0750123i | ||||
\(275\) | −1.17365 | − | 0.984808i | −0.0707736 | − | 0.0593861i | ||||
\(276\) | 5.13429 | + | 4.30818i | 0.309048 | + | 0.259322i | ||||
\(277\) | −10.3229 | − | 17.8799i | −0.620246 | − | 1.07430i | −0.989440 | − | 0.144945i | \(-0.953700\pi\) |
0.369194 | − | 0.929352i | \(-0.379634\pi\) | |||||||
\(278\) | 7.52734 | − | 13.0377i | 0.451460 | − | 0.781952i | ||||
\(279\) | −6.41147 | + | 2.33359i | −0.383845 | + | 0.139708i | ||||
\(280\) | 0.819078 | + | 4.64522i | 0.0489493 | + | 0.277605i | ||||
\(281\) | 2.75759 | − | 15.6391i | 0.164504 | − | 0.932948i | −0.785070 | − | 0.619406i | \(-0.787373\pi\) |
0.949574 | − | 0.313542i | \(-0.101516\pi\) | |||||||
\(282\) | −5.12449 | − | 1.86516i | −0.305159 | − | 0.111069i | ||||
\(283\) | −11.6040 | + | 9.73692i | −0.689787 | + | 0.578800i | −0.918848 | − | 0.394612i | \(-0.870879\pi\) |
0.229061 | + | 0.973412i | \(0.426434\pi\) | |||||||
\(284\) | −7.30541 | −0.433496 | ||||||||
\(285\) | −4.07398 | + | 1.55007i | −0.241322 | + | 0.0918180i | ||||
\(286\) | 3.66044 | 0.216447 | ||||||||
\(287\) | −43.3075 | + | 36.3393i | −2.55636 | + | 2.14504i | ||||
\(288\) | 0.939693 | + | 0.342020i | 0.0553719 | + | 0.0201537i | ||||
\(289\) | −2.94191 | + | 16.6844i | −0.173054 | + | 0.981437i | ||||
\(290\) | 0.305407 | + | 1.73205i | 0.0179341 | + | 0.101710i | ||||
\(291\) | −5.41147 | + | 1.96962i | −0.317226 | + | 0.115461i | ||||
\(292\) | 2.18479 | − | 3.78417i | 0.127855 | − | 0.221452i | ||||
\(293\) | −13.8564 | − | 24.0000i | −0.809498 | − | 1.40209i | −0.913212 | − | 0.407485i | \(-0.866406\pi\) |
0.103713 | − | 0.994607i | \(-0.466928\pi\) | |||||||
\(294\) | 11.6814 | + | 9.80185i | 0.681272 | + | 0.571655i | ||||
\(295\) | 7.24170 | + | 6.07650i | 0.421628 | + | 0.353788i | ||||
\(296\) | −4.69846 | − | 8.13798i | −0.273093 | − | 0.473010i | ||||
\(297\) | −0.766044 | + | 1.32683i | −0.0444504 | + | 0.0769904i | ||||
\(298\) | −12.0915 | + | 4.40095i | −0.700443 | + | 0.254940i | ||||
\(299\) | −2.78065 | − | 15.7698i | −0.160809 | − | 0.911994i | ||||
\(300\) | −0.173648 | + | 0.984808i | −0.0100256 | + | 0.0568579i | ||||
\(301\) | −32.9495 | − | 11.9927i | −1.89918 | − | 0.691245i | ||||
\(302\) | 0.184793 | − | 0.155059i | 0.0106336 | − | 0.00892266i | ||||
\(303\) | −10.3696 | −0.595717 | ||||||||
\(304\) | 0.819078 | + | 4.28125i | 0.0469773 | + | 0.245547i | ||||
\(305\) | −2.61081 | −0.149495 | ||||||||
\(306\) | 0.184793 | − | 0.155059i | 0.0105639 | − | 0.00886415i | ||||
\(307\) | −3.34224 | − | 1.21648i | −0.190752 | − | 0.0694280i | 0.244878 | − | 0.969554i | \(-0.421252\pi\) |
−0.435630 | + | 0.900126i | \(0.643474\pi\) | |||||||
\(308\) | −1.25490 | + | 7.11689i | −0.0715046 | + | 0.405523i | ||||
\(309\) | 2.57011 | + | 14.5758i | 0.146208 | + | 0.829189i | ||||
\(310\) | −6.41147 | + | 2.33359i | −0.364147 | + | 0.132539i | ||||
\(311\) | 14.8452 | − | 25.7127i | 0.841796 | − | 1.45803i | −0.0465786 | − | 0.998915i | \(-0.514832\pi\) |
0.888375 | − | 0.459119i | \(-0.151835\pi\) | |||||||
\(312\) | −1.19459 | − | 2.06910i | −0.0676305 | − | 0.117139i | ||||
\(313\) | −21.6536 | − | 18.1696i | −1.22394 | − | 1.02700i | −0.998609 | − | 0.0527209i | \(-0.983211\pi\) |
−0.225327 | − | 0.974283i | \(-0.572345\pi\) | |||||||
\(314\) | 0.190722 | + | 0.160035i | 0.0107631 | + | 0.00903130i | ||||
\(315\) | 2.35844 | + | 4.08494i | 0.132883 | + | 0.230160i | ||||
\(316\) | 4.82295 | − | 8.35359i | 0.271312 | − | 0.469926i | ||||
\(317\) | −25.2062 | + | 9.17431i | −1.41572 | + | 0.515280i | −0.932804 | − | 0.360385i | \(-0.882645\pi\) |
−0.482918 | + | 0.875666i | \(0.660423\pi\) | |||||||
\(318\) | 1.04576 | + | 5.93080i | 0.0586433 | + | 0.332583i | ||||
\(319\) | −0.467911 | + | 2.65366i | −0.0261980 | + | 0.148576i | ||||
\(320\) | 0.939693 | + | 0.342020i | 0.0525304 | + | 0.0191195i | ||||
\(321\) | 8.45336 | − | 7.09321i | 0.471821 | − | 0.395905i | ||||
\(322\) | 31.6141 | 1.76179 | ||||||||
\(323\) | 0.993193 | + | 0.345268i | 0.0552627 | + | 0.0192112i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 1.83022 | − | 1.53574i | 0.101522 | − | 0.0851875i | ||||
\(326\) | −5.30541 | − | 1.93101i | −0.293839 | − | 0.106949i | ||||
\(327\) | 1.87939 | − | 10.6585i | 0.103930 | − | 0.589418i | ||||
\(328\) | 2.08125 | + | 11.8034i | 0.114918 | + | 0.651732i | ||||
\(329\) | −24.1716 | + | 8.79774i | −1.33262 | + | 0.485035i | ||||
\(330\) | −0.766044 | + | 1.32683i | −0.0421694 | + | 0.0730395i | ||||
\(331\) | −3.66385 | − | 6.34597i | −0.201383 | − | 0.348806i | 0.747591 | − | 0.664159i | \(-0.231210\pi\) |
−0.948974 | + | 0.315353i | \(0.897877\pi\) | |||||||
\(332\) | −7.57398 | − | 6.35532i | −0.415676 | − | 0.348794i | ||||
\(333\) | −7.19846 | − | 6.04023i | −0.394473 | − | 0.331002i | ||||
\(334\) | 6.42649 | + | 11.1310i | 0.351642 | + | 0.609062i | ||||
\(335\) | −2.06418 | + | 3.57526i | −0.112778 | + | 0.195337i | ||||
\(336\) | 4.43242 | − | 1.61327i | 0.241808 | − | 0.0880110i | ||||
\(337\) | −0.0814140 | − | 0.461722i | −0.00443491 | − | 0.0251516i | 0.982510 | − | 0.186210i | \(-0.0596204\pi\) |
−0.986945 | + | 0.161058i | \(0.948509\pi\) | |||||||
\(338\) | 1.26621 | − | 7.18101i | 0.0688726 | − | 0.390596i | ||||
\(339\) | 11.0496 | + | 4.02174i | 0.600134 | + | 0.218431i | ||||
\(340\) | 0.184793 | − | 0.155059i | 0.0100218 | − | 0.00840927i | ||||
\(341\) | −10.4534 | −0.566081 | ||||||||
\(342\) | 2.23396 | + | 3.74292i | 0.120798 | + | 0.202394i | ||||
\(343\) | 38.9094 | 2.10091 | ||||||||
\(344\) | −5.69459 | + | 4.77833i | −0.307032 | + | 0.257630i | ||||
\(345\) | 6.29813 | + | 2.29233i | 0.339080 | + | 0.123415i | ||||
\(346\) | 2.16503 | − | 12.2785i | 0.116393 | − | 0.660096i | ||||
\(347\) | 2.32770 | + | 13.2010i | 0.124957 | + | 0.708668i | 0.981333 | + | 0.192315i | \(0.0615996\pi\) |
−0.856376 | + | 0.516353i | \(0.827289\pi\) | |||||||
\(348\) | 1.65270 | − | 0.601535i | 0.0885942 | − | 0.0322457i | ||||
\(349\) | −14.5672 | + | 25.2311i | −0.779763 | + | 1.35059i | 0.152316 | + | 0.988332i | \(0.451327\pi\) |
−0.932078 | + | 0.362257i | \(0.882006\pi\) | |||||||
\(350\) | 2.35844 | + | 4.08494i | 0.126064 | + | 0.218349i | ||||
\(351\) | −1.83022 | − | 1.53574i | −0.0976900 | − | 0.0819717i | ||||
\(352\) | 1.17365 | + | 0.984808i | 0.0625557 | + | 0.0524904i | ||||
\(353\) | −0.822948 | − | 1.42539i | −0.0438011 | − | 0.0758658i | 0.843294 | − | 0.537453i | \(-0.180613\pi\) |
−0.887095 | + | 0.461587i | \(0.847280\pi\) | |||||||
\(354\) | 4.72668 | − | 8.18685i | 0.251220 | − | 0.435126i | ||||
\(355\) | −6.86484 | + | 2.49860i | −0.364348 | + | 0.132612i | ||||
\(356\) | −0.878041 | − | 4.97962i | −0.0465361 | − | 0.263919i | ||||
\(357\) | 0.197586 | − | 1.12056i | 0.0104573 | − | 0.0593066i | ||||
\(358\) | 10.4410 | + | 3.80023i | 0.551826 | + | 0.200848i | ||||
\(359\) | −23.7743 | + | 19.9490i | −1.25476 | + | 1.05287i | −0.258537 | + | 0.966001i | \(0.583240\pi\) |
−0.996220 | + | 0.0868648i | \(0.972315\pi\) | |||||||
\(360\) | 1.00000 | 0.0527046 | ||||||||
\(361\) | −9.01889 | + | 16.7230i | −0.474678 | + | 0.880159i | ||||
\(362\) | −8.86753 | −0.466067 | ||||||||
\(363\) | 6.62836 | − | 5.56185i | 0.347898 | − | 0.291921i | ||||
\(364\) | −10.5899 | − | 3.85440i | −0.555060 | − | 0.202025i | ||||
\(365\) | 0.758770 | − | 4.30320i | 0.0397159 | − | 0.225240i | ||||
\(366\) | 0.453363 | + | 2.57115i | 0.0236977 | + | 0.134396i | ||||
\(367\) | 18.9329 | − | 6.89101i | 0.988289 | − | 0.359708i | 0.203231 | − | 0.979131i | \(-0.434856\pi\) |
0.785057 | + | 0.619423i | \(0.212633\pi\) | |||||||
\(368\) | 3.35117 | − | 5.80439i | 0.174692 | − | 0.302575i | ||||
\(369\) | 5.99273 | + | 10.3797i | 0.311969 | + | 0.540346i | ||||
\(370\) | −7.19846 | − | 6.04023i | −0.374230 | − | 0.314016i | ||||
\(371\) | 21.7606 | + | 18.2593i | 1.12975 | + | 0.947975i | ||||
\(372\) | 3.41147 | + | 5.90885i | 0.176877 | + | 0.306359i | ||||
\(373\) | 9.56283 | − | 16.5633i | 0.495145 | − | 0.857616i | −0.504840 | − | 0.863213i | \(-0.668448\pi\) |
0.999984 | + | 0.00559731i | \(0.00178169\pi\) | |||||||
\(374\) | 0.347296 | − | 0.126406i | 0.0179583 | − | 0.00653627i | ||||
\(375\) | 0.173648 | + | 0.984808i | 0.00896715 | + | 0.0508553i | ||||
\(376\) | −0.946967 | + | 5.37051i | −0.0488361 | + | 0.276963i | ||||
\(377\) | −3.94862 | − | 1.43718i | −0.203364 | − | 0.0740185i | ||||
\(378\) | 3.61334 | − | 3.03195i | 0.185850 | − | 0.155947i | ||||
\(379\) | 3.66550 | 0.188284 | 0.0941420 | − | 0.995559i | \(-0.469989\pi\) | ||||
0.0941420 | + | 0.995559i | \(0.469989\pi\) | |||||||
\(380\) | 2.23396 | + | 3.74292i | 0.114600 | + | 0.192008i | ||||
\(381\) | 21.8949 | 1.12171 | ||||||||
\(382\) | −9.17024 | + | 7.69475i | −0.469191 | + | 0.393698i | ||||
\(383\) | −29.6771 | − | 10.8016i | −1.51643 | − | 0.551935i | −0.556176 | − | 0.831065i | \(-0.687732\pi\) |
−0.960253 | + | 0.279129i | \(0.909954\pi\) | |||||||
\(384\) | 0.173648 | − | 0.984808i | 0.00886145 | − | 0.0502558i | ||||
\(385\) | 1.25490 | + | 7.11689i | 0.0639556 | + | 0.362710i | ||||
\(386\) | −8.21213 | + | 2.98897i | −0.417987 | + | 0.152135i | ||||
\(387\) | −3.71688 | + | 6.43783i | −0.188940 | + | 0.327253i | ||||
\(388\) | 2.87939 | + | 4.98724i | 0.146179 | + | 0.253189i | ||||
\(389\) | −4.07604 | − | 3.42020i | −0.206663 | − | 0.173411i | 0.533581 | − | 0.845749i | \(-0.320846\pi\) |
−0.740245 | + | 0.672338i | \(0.765290\pi\) | |||||||
\(390\) | −1.83022 | − | 1.53574i | −0.0926769 | − | 0.0777652i | ||||
\(391\) | −0.808400 | − | 1.40019i | −0.0408826 | − | 0.0708107i | ||||
\(392\) | 7.62449 | − | 13.2060i | 0.385095 | − | 0.667004i | ||||
\(393\) | 10.0569 | − | 3.66041i | 0.507304 | − | 0.184643i | ||||
\(394\) | −3.25830 | − | 18.4788i | −0.164151 | − | 0.930946i | ||||
\(395\) | 1.67499 | − | 9.49935i | 0.0842780 | − | 0.477964i | ||||
\(396\) | 1.43969 | + | 0.524005i | 0.0723473 | + | 0.0263323i | ||||
\(397\) | 1.37030 | − | 1.14982i | 0.0687734 | − | 0.0577077i | −0.607753 | − | 0.794126i | \(-0.707929\pi\) |
0.676526 | + | 0.736418i | \(0.263484\pi\) | |||||||
\(398\) | 6.65539 | 0.333605 | ||||||||
\(399\) | 19.4204 | + | 6.75119i | 0.972236 | + | 0.337982i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | 8.39961 | − | 7.04811i | 0.419457 | − | 0.351966i | −0.408500 | − | 0.912758i | \(-0.633948\pi\) |
0.827956 | + | 0.560792i | \(0.189503\pi\) | |||||||
\(402\) | 3.87939 | + | 1.41198i | 0.193486 | + | 0.0704232i | ||||
\(403\) | 2.83069 | − | 16.0536i | 0.141007 | − | 0.799689i | ||||
\(404\) | 1.80066 | + | 10.2120i | 0.0895862 | + | 0.508068i | ||||
\(405\) | 0.939693 | − | 0.342020i | 0.0466937 | − | 0.0169951i | ||||
\(406\) | 4.14796 | − | 7.18447i | 0.205860 | − | 0.356559i | ||||
\(407\) | −7.19846 | − | 12.4681i | −0.356815 | − | 0.618021i | ||||
\(408\) | −0.184793 | − | 0.155059i | −0.00914859 | − | 0.00767658i | ||||
\(409\) | −7.45858 | − | 6.25849i | −0.368803 | − | 0.309462i | 0.439485 | − | 0.898250i | \(-0.355161\pi\) |
−0.808288 | + | 0.588788i | \(0.799605\pi\) | |||||||
\(410\) | 5.99273 | + | 10.3797i | 0.295960 | + | 0.512617i | ||||
\(411\) | −0.716881 | + | 1.24168i | −0.0353612 | + | 0.0612473i | ||||
\(412\) | 13.9081 | − | 5.06212i | 0.685201 | − | 0.249393i | ||||
\(413\) | −7.74304 | − | 43.9130i | −0.381010 | − | 2.16082i | ||||
\(414\) | 1.16385 | − | 6.60051i | 0.0572000 | − | 0.324397i | ||||
\(415\) | −9.29086 | − | 3.38160i | −0.456070 | − | 0.165996i | ||||
\(416\) | −1.83022 | + | 1.53574i | −0.0897340 | + | 0.0752958i | ||||
\(417\) | −15.0547 | −0.737231 | ||||||||
\(418\) | 1.25490 | + | 6.55926i | 0.0613792 | + | 0.320824i | ||||
\(419\) | 17.3824 | 0.849185 | 0.424592 | − | 0.905385i | \(-0.360417\pi\) | ||||
0.424592 | + | 0.905385i | \(0.360417\pi\) | |||||||
\(420\) | 3.61334 | − | 3.03195i | 0.176313 | − | 0.147944i | ||||
\(421\) | 36.5749 | + | 13.3122i | 1.78255 | + | 0.648796i | 0.999645 | + | 0.0266578i | \(0.00848644\pi\) |
0.782908 | + | 0.622138i | \(0.213736\pi\) | |||||||
\(422\) | −2.82042 | + | 15.9954i | −0.137296 | + | 0.778644i | ||||
\(423\) | 0.946967 | + | 5.37051i | 0.0460431 | + | 0.261123i | ||||
\(424\) | 5.65910 | − | 2.05974i | 0.274830 | − | 0.100030i | ||||
\(425\) | 0.120615 | − | 0.208911i | 0.00585068 | − | 0.0101337i | ||||
\(426\) | 3.65270 | + | 6.32667i | 0.176974 | + | 0.306528i | ||||
\(427\) | 9.43376 | + | 7.91587i | 0.456532 | + | 0.383076i | ||||
\(428\) | −8.45336 | − | 7.09321i | −0.408609 | − | 0.342863i | ||||
\(429\) | −1.83022 | − | 3.17004i | −0.0883640 | − | 0.153051i | ||||
\(430\) | −3.71688 | + | 6.43783i | −0.179244 | + | 0.310460i | ||||
\(431\) | 12.2344 | − | 4.45297i | 0.589311 | − | 0.214492i | −0.0301151 | − | 0.999546i | \(-0.509587\pi\) |
0.619427 | + | 0.785055i | \(0.287365\pi\) | |||||||
\(432\) | −0.173648 | − | 0.984808i | −0.00835465 | − | 0.0473816i | ||||
\(433\) | 0.361844 | − | 2.05212i | 0.0173891 | − | 0.0986186i | −0.974878 | − | 0.222740i | \(-0.928500\pi\) |
0.992267 | + | 0.124121i | \(0.0396111\pi\) | |||||||
\(434\) | 30.2422 | + | 11.0072i | 1.45167 | + | 0.528365i | ||||
\(435\) | 1.34730 | − | 1.13052i | 0.0645979 | − | 0.0542041i | ||||
\(436\) | −10.8229 | −0.518325 | ||||||||
\(437\) | 27.3052 | − | 10.3891i | 1.30618 | − | 0.496976i | ||||
\(438\) | −4.36959 | −0.208787 | ||||||||
\(439\) | 10.8229 | − | 9.08153i | 0.516551 | − | 0.433438i | −0.346876 | − | 0.937911i | \(-0.612758\pi\) |
0.863427 | + | 0.504473i | \(0.168313\pi\) | |||||||
\(440\) | 1.43969 | + | 0.524005i | 0.0686347 | + | 0.0249810i | ||||
\(441\) | 2.64796 | − | 15.0173i | 0.126093 | − | 0.715110i | ||||
\(442\) | 0.100081 | + | 0.567586i | 0.00476036 | + | 0.0269973i | ||||
\(443\) | −13.5398 | + | 4.92809i | −0.643297 | + | 0.234141i | −0.643008 | − | 0.765859i | \(-0.722314\pi\) |
−0.000288293 | 1.00000i | \(0.500092\pi\) | ||||||||
\(444\) | −4.69846 | + | 8.13798i | −0.222979 | + | 0.386211i | ||||
\(445\) | −2.52822 | − | 4.37900i | −0.119849 | − | 0.207585i | ||||
\(446\) | −21.0462 | − | 17.6599i | −0.996568 | − | 0.836220i | ||||
\(447\) | 9.85710 | + | 8.27109i | 0.466225 | + | 0.391209i | ||||
\(448\) | −2.35844 | − | 4.08494i | −0.111426 | − | 0.192995i | ||||
\(449\) | −3.75150 | + | 6.49778i | −0.177044 | + | 0.306649i | −0.940867 | − | 0.338777i | \(-0.889987\pi\) |
0.763823 | + | 0.645426i | \(0.223320\pi\) | |||||||
\(450\) | 0.939693 | − | 0.342020i | 0.0442975 | − | 0.0161230i | ||||
\(451\) | 3.18866 | + | 18.0838i | 0.150148 | + | 0.851533i | ||||
\(452\) | 2.04189 | − | 11.5801i | 0.0960424 | − | 0.544683i | ||||
\(453\) | −0.226682 | − | 0.0825054i | −0.0106504 | − | 0.00387644i | ||||
\(454\) | −0.0222887 | + | 0.0187024i | −0.00104606 | + | 0.000877749i | ||||
\(455\) | −11.2695 | −0.528323 | ||||||||
\(456\) | 3.29813 | − | 2.84997i | 0.154449 | − | 0.133462i | ||||
\(457\) | −12.0101 | −0.561809 | −0.280905 | − | 0.959736i | \(-0.590634\pi\) | ||||
−0.280905 | + | 0.959736i | \(0.590634\pi\) | |||||||
\(458\) | 15.7324 | − | 13.2010i | 0.735125 | − | 0.616843i | ||||
\(459\) | −0.226682 | − | 0.0825054i | −0.0105806 | − | 0.00385102i | ||||
\(460\) | 1.16385 | − | 6.60051i | 0.0542647 | − | 0.307750i | ||||
\(461\) | 5.95636 | + | 33.7802i | 0.277415 | + | 1.57330i | 0.731184 | + | 0.682180i | \(0.238968\pi\) |
−0.453769 | + | 0.891119i | \(0.649921\pi\) | |||||||
\(462\) | 6.79086 | − | 2.47167i | 0.315939 | − | 0.114993i | ||||
\(463\) | 5.29813 | − | 9.17664i | 0.246225 | − | 0.426474i | −0.716250 | − | 0.697844i | \(-0.754143\pi\) |
0.962475 | + | 0.271369i | \(0.0874764\pi\) | |||||||
\(464\) | −0.879385 | − | 1.52314i | −0.0408244 | − | 0.0707100i | ||||
\(465\) | 5.22668 | + | 4.38571i | 0.242382 | + | 0.203382i | ||||
\(466\) | 5.06418 | + | 4.24935i | 0.234594 | + | 0.196847i | ||||
\(467\) | −7.77332 | − | 13.4638i | −0.359706 | − | 0.623030i | 0.628205 | − | 0.778048i | \(-0.283790\pi\) |
−0.987912 | + | 0.155018i | \(0.950456\pi\) | |||||||
\(468\) | −1.19459 | + | 2.06910i | −0.0552201 | + | 0.0956440i | ||||
\(469\) | 18.2986 | − | 6.66015i | 0.844951 | − | 0.307537i | ||||
\(470\) | 0.946967 | + | 5.37051i | 0.0436803 | + | 0.247723i | ||||
\(471\) | 0.0432332 | − | 0.245188i | 0.00199208 | − | 0.0112977i | ||||
\(472\) | −8.88326 | − | 3.23324i | −0.408885 | − | 0.148822i | ||||
\(473\) | −8.72462 | + | 7.32083i | −0.401159 | + | 0.336612i | ||||
\(474\) | −9.64590 | −0.443051 | ||||||||
\(475\) | 3.37939 | + | 2.75314i | 0.155057 | + | 0.126323i | ||||
\(476\) | −1.13785 | −0.0521533 | ||||||||
\(477\) | 4.61334 | − | 3.87105i | 0.211230 | − | 0.177243i | ||||
\(478\) | −14.8871 | − | 5.41847i | −0.680921 | − | 0.247835i | ||||
\(479\) | −3.12567 | + | 17.7265i | −0.142815 | + | 0.809946i | 0.826280 | + | 0.563260i | \(0.190453\pi\) |
−0.969095 | + | 0.246687i | \(0.920658\pi\) | |||||||
\(480\) | −0.173648 | − | 0.984808i | −0.00792592 | − | 0.0449501i | ||||
\(481\) | 21.0970 | − | 7.67869i | 0.961942 | − | 0.350118i | ||||
\(482\) | −3.32295 | + | 5.75552i | −0.151356 | + | 0.262157i | ||||
\(483\) | −15.8071 | − | 27.3786i | −0.719246 | − | 1.24577i | ||||
\(484\) | −6.62836 | − | 5.56185i | −0.301289 | − | 0.252811i | ||||
\(485\) | 4.41147 | + | 3.70167i | 0.200315 | + | 0.168084i | ||||
\(486\) | −0.500000 | − | 0.866025i | −0.0226805 | − | 0.0392837i | ||||
\(487\) | −2.31386 | + | 4.00773i | −0.104851 | + | 0.181608i | −0.913677 | − | 0.406440i | \(-0.866770\pi\) |
0.808826 | + | 0.588048i | \(0.200103\pi\) | |||||||
\(488\) | 2.45336 | − | 0.892951i | 0.111059 | − | 0.0404220i | ||||
\(489\) | 0.980400 | + | 5.56012i | 0.0443352 | + | 0.251437i | ||||
\(490\) | 2.64796 | − | 15.0173i | 0.119622 | − | 0.678413i | ||||
\(491\) | 32.6095 | + | 11.8689i | 1.47165 | + | 0.535636i | 0.948547 | − | 0.316635i | \(-0.102553\pi\) |
0.523100 | + | 0.852271i | \(0.324775\pi\) | |||||||
\(492\) | 9.18139 | − | 7.70410i | 0.413929 | − | 0.347328i | ||||
\(493\) | −0.424267 | −0.0191080 | ||||||||
\(494\) | −10.4131 | + | 0.151003i | −0.468509 | + | 0.00679395i | ||||
\(495\) | 1.53209 | 0.0688623 | ||||||||
\(496\) | 5.22668 | − | 4.38571i | 0.234685 | − | 0.196924i | ||||
\(497\) | 32.3806 | + | 11.7856i | 1.45247 | + | 0.528656i | ||||
\(498\) | −1.71688 | + | 9.73692i | −0.0769353 | + | 0.436322i | ||||
\(499\) | −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 | ||||
\(501\) | 6.42649 | − | 11.1310i | 0.287114 | − | 0.497297i | ||||
\(502\) | −14.4855 | − | 25.0895i | −0.646517 | − | 1.11980i | ||||
\(503\) | 6.14724 | + | 5.15815i | 0.274092 | + | 0.229990i | 0.769464 | − | 0.638691i | \(-0.220524\pi\) |
−0.495372 | + | 0.868681i | \(0.664968\pi\) | |||||||
\(504\) | −3.61334 | − | 3.03195i | −0.160951 | − | 0.135054i | ||||
\(505\) | 5.18479 | + | 8.98032i | 0.230720 | + | 0.399619i | ||||
\(506\) | 5.13429 | − | 8.89284i | 0.228247 | − | 0.395335i | ||||
\(507\) | −6.85204 | + | 2.49394i | −0.304310 | + | 0.110760i | ||||
\(508\) | −3.80200 | − | 21.5622i | −0.168687 | − | 0.956669i | ||||
\(509\) | 1.18748 | − | 6.73454i | 0.0526342 | − | 0.298503i | −0.947115 | − | 0.320894i | \(-0.896017\pi\) |
0.999749 | + | 0.0223908i | \(0.00712780\pi\) | |||||||
\(510\) | −0.226682 | − | 0.0825054i | −0.0100376 | − | 0.00365340i | ||||
\(511\) | −15.7888 | + | 13.2484i | −0.698455 | + | 0.586074i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 2.12449 | − | 3.80612i | 0.0937983 | − | 0.168044i | ||||
\(514\) | −13.0351 | −0.574953 | ||||||||
\(515\) | 11.3380 | − | 9.51368i | 0.499610 | − | 0.419223i | ||||
\(516\) | 6.98545 | + | 2.54250i | 0.307517 | + | 0.111927i | ||||
\(517\) | −1.45084 | + | 8.22811i | −0.0638077 | + | 0.361872i | ||||
\(518\) | 7.69681 | + | 43.6508i | 0.338179 | + | 1.91791i | ||||
\(519\) | −11.7160 | + | 4.26428i | −0.514275 | + | 0.187181i | ||||
\(520\) | −1.19459 | + | 2.06910i | −0.0523864 | + | 0.0907358i | ||||
\(521\) | −0.147956 | − | 0.256267i | −0.00648207 | − | 0.0112273i | 0.862766 | − | 0.505603i | \(-0.168730\pi\) |
−0.869248 | + | 0.494376i | \(0.835397\pi\) | |||||||
\(522\) | −1.34730 | − | 1.13052i | −0.0589696 | − | 0.0494813i | ||||
\(523\) | 21.3628 | + | 17.9255i | 0.934129 | + | 0.783827i | 0.976554 | − | 0.215272i | \(-0.0690639\pi\) |
−0.0424250 | + | 0.999100i | \(0.513508\pi\) | |||||||
\(524\) | −5.35117 | − | 9.26849i | −0.233767 | − | 0.404896i | ||||
\(525\) | 2.35844 | − | 4.08494i | 0.102931 | − | 0.178281i | ||||
\(526\) | −1.89306 | + | 0.689016i | −0.0825412 | + | 0.0300425i | ||||
\(527\) | −0.285807 | − | 1.62089i | −0.0124499 | − | 0.0706071i | ||||
\(528\) | 0.266044 | − | 1.50881i | 0.0115781 | − | 0.0656627i | ||||
\(529\) | −20.5993 | − | 7.49752i | −0.895620 | − | 0.325979i | ||||
\(530\) | 4.61334 | − | 3.87105i | 0.200391 | − | 0.168148i | ||||
\(531\) | −9.45336 | −0.410241 | ||||||||
\(532\) | 3.27631 | − | 20.2977i | 0.142046 | − | 0.880016i | ||||
\(533\) | −28.6355 | −1.24034 | ||||||||
\(534\) | −3.87346 | + | 3.25022i | −0.167621 | + | 0.140651i | ||||
\(535\) | −10.3696 | − | 3.77422i | −0.448316 | − | 0.163174i | ||||
\(536\) | 0.716881 | − | 4.06564i | 0.0309646 | − | 0.175609i | ||||
\(537\) | −1.92943 | − | 10.9423i | −0.0832609 | − | 0.472196i | ||||
\(538\) | −19.5253 | + | 7.10662i | −0.841795 | + | 0.306388i | ||||
\(539\) | 11.6814 | − | 20.2328i | 0.503153 | − | 0.871487i | ||||
\(540\) | −0.500000 | − | 0.866025i | −0.0215166 | − | 0.0372678i | ||||
\(541\) | 12.9813 | + | 10.8926i | 0.558111 | + | 0.468311i | 0.877677 | − | 0.479253i | \(-0.159092\pi\) |
−0.319565 | + | 0.947564i | \(0.603537\pi\) | |||||||
\(542\) | −17.8530 | − | 14.9804i | −0.766851 | − | 0.643464i | ||||
\(543\) | 4.43376 | + | 7.67950i | 0.190271 | + | 0.329559i | ||||
\(544\) | −0.120615 | + | 0.208911i | −0.00517132 | + | 0.00895698i | ||||
\(545\) | −10.1702 | + | 3.70167i | −0.435645 | + | 0.158562i | ||||
\(546\) | 1.95693 | + | 11.0983i | 0.0837488 | + | 0.474963i | ||||
\(547\) | −5.22399 | + | 29.6267i | −0.223362 | + | 1.26675i | 0.642430 | + | 0.766344i | \(0.277926\pi\) |
−0.865792 | + | 0.500404i | \(0.833185\pi\) | |||||||
\(548\) | 1.34730 | + | 0.490376i | 0.0575536 | + | 0.0209478i | ||||
\(549\) | 2.00000 | − | 1.67820i | 0.0853579 | − | 0.0716238i | ||||
\(550\) | 1.53209 | 0.0653285 | ||||||||
\(551\) | 1.22163 | − | 7.56834i | 0.0520432 | − | 0.322422i | ||||
\(552\) | −6.70233 | −0.285270 | ||||||||
\(553\) | −34.8539 | + | 29.2459i | −1.48214 | + | 1.24366i | ||||
\(554\) | 19.4008 | + | 7.06131i | 0.824261 | + | 0.300006i | ||||
\(555\) | −1.63176 | + | 9.25417i | −0.0692643 | + | 0.392817i | ||||
\(556\) | 2.61422 | + | 14.8260i | 0.110868 | + | 0.628761i | ||||
\(557\) | 24.1570 | − | 8.79244i | 1.02357 | − | 0.372548i | 0.224939 | − | 0.974373i | \(-0.427782\pi\) |
0.798628 | + | 0.601825i | \(0.205560\pi\) | |||||||
\(558\) | 3.41147 | − | 5.90885i | 0.144419 | − | 0.250141i | ||||
\(559\) | −8.88032 | − | 15.3812i | −0.375597 | − | 0.650554i | ||||
\(560\) | −3.61334 | − | 3.03195i | −0.152692 | − | 0.128123i | ||||
\(561\) | −0.283119 | − | 0.237565i | −0.0119533 | − | 0.0100300i | ||||
\(562\) | 7.94016 | + | 13.7528i | 0.334935 | + | 0.580125i | ||||
\(563\) | −6.56717 | + | 11.3747i | −0.276773 | + | 0.479385i | −0.970581 | − | 0.240775i | \(-0.922598\pi\) |
0.693808 | + | 0.720160i | \(0.255932\pi\) | |||||||
\(564\) | 5.12449 | − | 1.86516i | 0.215780 | − | 0.0785374i | ||||
\(565\) | −2.04189 | − | 11.5801i | −0.0859029 | − | 0.487180i | ||||
\(566\) | 2.63041 | − | 14.9178i | 0.110565 | − | 0.627043i | ||||
\(567\) | −4.43242 | − | 1.61327i | −0.186144 | − | 0.0677509i | ||||
\(568\) | 5.59627 | − | 4.69583i | 0.234814 | − | 0.197032i | ||||
\(569\) | 14.4020 | 0.603762 | 0.301881 | − | 0.953346i | \(-0.402385\pi\) | ||||
0.301881 | + | 0.953346i | \(0.402385\pi\) | |||||||
\(570\) | 2.12449 | − | 3.80612i | 0.0889849 | − | 0.159421i | ||||
\(571\) | 12.5722 | 0.526131 | 0.263066 | − | 0.964778i | \(-0.415266\pi\) | ||||
0.263066 | + | 0.964778i | \(0.415266\pi\) | |||||||
\(572\) | −2.80406 | + | 2.35289i | −0.117244 | + | 0.0983792i | ||||
\(573\) | 11.2490 | + | 4.09429i | 0.469932 | + | 0.171041i | ||||
\(574\) | 9.81702 | − | 55.6751i | 0.409754 | − | 2.32383i | ||||
\(575\) | −1.16385 | − | 6.60051i | −0.0485358 | − | 0.275260i | ||||
\(576\) | −0.939693 | + | 0.342020i | −0.0391539 | + | 0.0142508i | ||||
\(577\) | −13.9067 | + | 24.0872i | −0.578945 | + | 1.00276i | 0.416656 | + | 0.909064i | \(0.363202\pi\) |
−0.995601 | + | 0.0936973i | \(0.970131\pi\) | |||||||
\(578\) | −8.47090 | − | 14.6720i | −0.352343 | − | 0.610276i | ||||
\(579\) | 6.69459 | + | 5.61743i | 0.278218 | + | 0.233452i | ||||
\(580\) | −1.34730 | − | 1.13052i | −0.0559434 | − | 0.0469421i | ||||
\(581\) | 23.3182 | + | 40.3883i | 0.967402 | + | 1.67559i | ||||
\(582\) | 2.87939 | − | 4.98724i | 0.119354 | − | 0.206728i | ||||
\(583\) | 8.67024 | − | 3.15571i | 0.359085 | − | 0.130696i | ||||
\(584\) | 0.758770 | + | 4.30320i | 0.0313981 | + | 0.178068i | ||||
\(585\) | −0.414878 | + | 2.35289i | −0.0171531 | + | 0.0972800i | ||||
\(586\) | 26.0415 | + | 9.47832i | 1.07576 | + | 0.391546i | ||||
\(587\) | 10.4875 | − | 8.80007i | 0.432866 | − | 0.363218i | −0.400166 | − | 0.916443i | \(-0.631047\pi\) |
0.833032 | + | 0.553225i | \(0.186603\pi\) | |||||||
\(588\) | −15.2490 | −0.628857 | ||||||||
\(589\) | 29.7374 | − | 0.431229i | 1.22531 | − | 0.0177685i | ||||
\(590\) | −9.45336 | −0.389189 | ||||||||
\(591\) | −14.3739 | + | 12.0612i | −0.591264 | + | 0.496130i | ||||
\(592\) | 8.83022 | + | 3.21394i | 0.362920 | + | 0.132092i | ||||
\(593\) | −4.68180 | + | 26.5518i | −0.192258 | + | 1.09035i | 0.724011 | + | 0.689789i | \(0.242297\pi\) |
−0.916269 | + | 0.400563i | \(0.868815\pi\) | |||||||
\(594\) | −0.266044 | − | 1.50881i | −0.0109159 | − | 0.0619073i | ||||
\(595\) | −1.06923 | + | 0.389168i | −0.0438342 | + | 0.0159543i | ||||
\(596\) | 6.43376 | − | 11.1436i | 0.263537 | − | 0.456460i | ||||
\(597\) | −3.32770 | − | 5.76374i | −0.136194 | − | 0.235894i | ||||
\(598\) | 12.2668 | + | 10.2930i | 0.501625 | + | 0.420913i | ||||
\(599\) | −19.0496 | − | 15.9845i | −0.778347 | − | 0.653110i | 0.164485 | − | 0.986380i | \(-0.447404\pi\) |
−0.942832 | + | 0.333269i | \(0.891848\pi\) | |||||||
\(600\) | −0.500000 | − | 0.866025i | −0.0204124 | − | 0.0353553i | ||||
\(601\) | 17.1356 | − | 29.6798i | 0.698977 | − | 1.21066i | −0.269845 | − | 0.962904i | \(-0.586972\pi\) |
0.968822 | − | 0.247760i | \(-0.0796943\pi\) | |||||||
\(602\) | 32.9495 | − | 11.9927i | 1.34292 | − | 0.488784i | ||||
\(603\) | −0.716881 | − | 4.06564i | −0.0291937 | − | 0.165566i | ||||
\(604\) | −0.0418891 | + | 0.237565i | −0.00170444 | + | 0.00966637i | ||||
\(605\) | −8.13088 | − | 2.95940i | −0.330567 | − | 0.120317i | ||||
\(606\) | 7.94356 | − | 6.66544i | 0.322685 | − | 0.270765i | ||||
\(607\) | −42.3492 | −1.71890 | −0.859450 | − | 0.511220i | \(-0.829194\pi\) | ||||
−0.859450 | + | 0.511220i | \(0.829194\pi\) | |||||||
\(608\) | −3.37939 | − | 2.75314i | −0.137052 | − | 0.111654i | ||||
\(609\) | −8.29591 | −0.336167 | ||||||||
\(610\) | 2.00000 | − | 1.67820i | 0.0809776 | − | 0.0679483i | ||||
\(611\) | −12.2433 | − | 4.45621i | −0.495313 | − | 0.180279i | ||||
\(612\) | −0.0418891 | + | 0.237565i | −0.00169327 | + | 0.00960298i | ||||
\(613\) | −2.02987 | − | 11.5119i | −0.0819856 | − | 0.464963i | −0.997966 | − | 0.0637414i | \(-0.979697\pi\) |
0.915981 | − | 0.401222i | \(-0.131414\pi\) | |||||||
\(614\) | 3.34224 | − | 1.21648i | 0.134882 | − | 0.0490930i | ||||
\(615\) | 5.99273 | − | 10.3797i | 0.241650 | − | 0.418550i | ||||
\(616\) | −3.61334 | − | 6.25849i | −0.145586 | − | 0.252162i | ||||
\(617\) | 19.0155 | + | 15.9559i | 0.765534 | + | 0.642360i | 0.939561 | − | 0.342381i | \(-0.111233\pi\) |
−0.174027 | + | 0.984741i | \(0.555678\pi\) | |||||||
\(618\) | −11.3380 | − | 9.51368i | −0.456080 | − | 0.382696i | ||||
\(619\) | 2.05572 | + | 3.56061i | 0.0826264 | + | 0.143113i | 0.904377 | − | 0.426734i | \(-0.140336\pi\) |
−0.821751 | + | 0.569847i | \(0.807003\pi\) | |||||||
\(620\) | 3.41147 | − | 5.90885i | 0.137008 | − | 0.237305i | ||||
\(621\) | −6.29813 | + | 2.29233i | −0.252735 | + | 0.0919882i | ||||
\(622\) | 5.15570 | + | 29.2394i | 0.206725 | + | 1.17239i | ||||
\(623\) | −4.14162 | + | 23.4883i | −0.165930 | + | 0.941038i | ||||
\(624\) | 2.24510 | + | 0.817150i | 0.0898759 | + | 0.0327122i | ||||
\(625\) | 0.766044 | − | 0.642788i | 0.0306418 | − | 0.0257115i | ||||
\(626\) | 28.2668 | 1.12977 | ||||||||
\(627\) | 5.05303 | − | 4.36640i | 0.201799 | − | 0.174377i | ||||
\(628\) | −0.248970 | −0.00993500 | ||||||||
\(629\) | 1.73648 | − | 1.45708i | 0.0692381 | − | 0.0580976i | ||||
\(630\) | −4.43242 | − | 1.61327i | −0.176592 | − | 0.0642742i | ||||
\(631\) | −8.61587 | + | 48.8630i | −0.342992 | + | 1.94521i | −0.0169322 | + | 0.999857i | \(0.505390\pi\) |
−0.326060 | + | 0.945349i | \(0.605721\pi\) | |||||||
\(632\) | 1.67499 | + | 9.49935i | 0.0666276 | + | 0.377864i | ||||
\(633\) | 15.2626 | − | 5.55515i | 0.606636 | − | 0.220797i | ||||
\(634\) | 13.4119 | − | 23.2302i | 0.532656 | − | 0.922588i | ||||
\(635\) | −10.9474 | − | 18.9615i | −0.434436 | − | 0.752465i | ||||
\(636\) | −4.61334 | − | 3.87105i | −0.182931 | − | 0.153497i | ||||
\(637\) | 27.9090 | + | 23.4184i | 1.10580 | + | 0.927872i | ||||
\(638\) | −1.34730 | − | 2.33359i | −0.0533400 | − | 0.0923875i | ||||
\(639\) | 3.65270 | − | 6.32667i | 0.144499 | − | 0.250279i | ||||
\(640\) | −0.939693 | + | 0.342020i | −0.0371446 | + | 0.0135195i | ||||
\(641\) | 5.16179 | + | 29.2740i | 0.203878 | + | 1.15625i | 0.899195 | + | 0.437548i | \(0.144153\pi\) |
−0.695317 | + | 0.718704i | \(0.744736\pi\) | |||||||
\(642\) | −1.91622 | + | 10.8674i | −0.0756272 | + | 0.428903i | ||||
\(643\) | −46.0506 | − | 16.7610i | −1.81606 | − | 0.660991i | −0.996066 | − | 0.0886141i | \(-0.971756\pi\) |
−0.819991 | − | 0.572377i | \(-0.806022\pi\) | |||||||
\(644\) | −24.2178 | + | 20.3212i | −0.954316 | + | 0.800766i | ||||
\(645\) | 7.43376 | 0.292704 | ||||||||
\(646\) | −0.982764 | + | 0.373922i | −0.0386663 | + | 0.0147117i | ||||
\(647\) | −42.9590 | −1.68889 | −0.844447 | − | 0.535639i | \(-0.820071\pi\) | ||||
−0.844447 | + | 0.535639i | \(0.820071\pi\) | |||||||
\(648\) | −0.766044 | + | 0.642788i | −0.0300931 | + | 0.0252511i | ||||
\(649\) | −13.6099 | − | 4.95361i | −0.534237 | − | 0.194446i | ||||
\(650\) | −0.414878 | + | 2.35289i | −0.0162728 | + | 0.0922879i | ||||
\(651\) | −5.58853 | − | 31.6941i | −0.219032 | − | 1.24219i | ||||
\(652\) | 5.30541 | − | 1.93101i | 0.207776 | − | 0.0756242i | ||||
\(653\) | 5.12402 | − | 8.87506i | 0.200518 | − | 0.347308i | −0.748177 | − | 0.663499i | \(-0.769071\pi\) |
0.948696 | + | 0.316191i | \(0.102404\pi\) | |||||||
\(654\) | 5.41147 | + | 9.37295i | 0.211605 | + | 0.366511i | ||||
\(655\) | −8.19846 | − | 6.87933i | −0.320340 | − | 0.268798i | ||||
\(656\) | −9.18139 | − | 7.70410i | −0.358473 | − | 0.300795i | ||||
\(657\) | 2.18479 | + | 3.78417i | 0.0852369 | + | 0.147635i | ||||
\(658\) | 12.8614 | − | 22.2767i | 0.501391 | − | 0.868434i | ||||
\(659\) | 10.9572 | − | 3.98811i | 0.426833 | − | 0.155355i | −0.119666 | − | 0.992814i | \(-0.538182\pi\) |
0.546499 | + | 0.837460i | \(0.315960\pi\) | |||||||
\(660\) | −0.266044 | − | 1.50881i | −0.0103558 | − | 0.0587305i | ||||
\(661\) | −6.39693 | + | 36.2788i | −0.248812 | + | 1.41108i | 0.562660 | + | 0.826689i | \(0.309778\pi\) |
−0.811471 | + | 0.584392i | \(0.801333\pi\) | |||||||
\(662\) | 6.88578 | + | 2.50622i | 0.267624 | + | 0.0974070i | ||||
\(663\) | 0.441504 | − | 0.370466i | 0.0171466 | − | 0.0143877i | ||||
\(664\) | 9.88713 | 0.383695 | ||||||||
\(665\) | −3.86349 | − | 20.1942i | −0.149820 | − | 0.783096i | ||||
\(666\) | 9.39693 | 0.364123 | ||||||||
\(667\) | −9.03003 | + | 7.57709i | −0.349644 | + | 0.293386i | ||||
\(668\) | −12.0778 | − | 4.39598i | −0.467306 | − | 0.170085i | ||||
\(669\) | −4.77079 | + | 27.0565i | −0.184449 | + | 1.04606i | ||||
\(670\) | −0.716881 | − | 4.06564i | −0.0276955 | − | 0.157069i | ||||
\(671\) | 3.75877 | − | 1.36808i | 0.145106 | − | 0.0528142i | ||||
\(672\) | −2.35844 | + | 4.08494i | −0.0909788 | + | 0.157580i | ||||
\(673\) | 5.39187 | + | 9.33900i | 0.207841 | + | 0.359992i | 0.951034 | − | 0.309085i | \(-0.100023\pi\) |
−0.743193 | + | 0.669077i | \(0.766690\pi\) | |||||||
\(674\) | 0.359156 | + | 0.301368i | 0.0138342 | + | 0.0116082i | ||||
\(675\) | −0.766044 | − | 0.642788i | −0.0294851 | − | 0.0247409i | ||||
\(676\) | 3.64590 | + | 6.31488i | 0.140227 | + | 0.242880i | ||||
\(677\) | 6.28699 | − | 10.8894i | 0.241629 | − | 0.418513i | −0.719550 | − | 0.694441i | \(-0.755652\pi\) |
0.961178 | + | 0.275928i | \(0.0889851\pi\) | |||||||
\(678\) | −11.0496 | + | 4.02174i | −0.424358 | + | 0.154454i | ||||
\(679\) | −4.71688 | − | 26.7508i | −0.181017 | − | 1.02660i | ||||
\(680\) | −0.0418891 | + | 0.237565i | −0.00160637 | + | 0.00911019i | ||||
\(681\) | 0.0273411 | + | 0.00995136i | 0.00104771 | + | 0.000381337i | ||||
\(682\) | 8.00774 | − | 6.71929i | 0.306632 | − | 0.257295i | ||||
\(683\) | −14.5217 | −0.555656 | −0.277828 | − | 0.960631i | \(-0.589615\pi\) | ||||
−0.277828 | + | 0.960631i | \(0.589615\pi\) | |||||||
\(684\) | −4.11721 | − | 1.43128i | −0.157426 | − | 0.0547265i | ||||
\(685\) | 1.43376 | 0.0547813 | ||||||||
\(686\) | −29.8063 | + | 25.0105i | −1.13801 | + | 0.954905i | ||||
\(687\) | −19.2986 | − | 7.02412i | −0.736288 | − | 0.267987i | ||||
\(688\) | 1.29086 | − | 7.32083i | 0.0492136 | − | 0.279104i | ||||
\(689\) | 2.49851 | + | 14.1698i | 0.0951858 | + | 0.539825i | ||||
\(690\) | −6.29813 | + | 2.29233i | −0.239766 | + | 0.0872676i | ||||
\(691\) | 17.4085 | − | 30.1525i | 0.662252 | − | 1.14705i | −0.317771 | − | 0.948168i | \(-0.602934\pi\) |
0.980023 | − | 0.198886i | \(-0.0637325\pi\) | |||||||
\(692\) | 6.23396 | + | 10.7975i | 0.236979 | + | 0.410460i | ||||
\(693\) | −5.53596 | − | 4.64522i | −0.210294 | − | 0.176457i | ||||
\(694\) | −10.2686 | − | 8.61635i | −0.389790 | − | 0.327072i | ||||
\(695\) | 7.52734 | + | 13.0377i | 0.285528 | + | 0.494550i | ||||
\(696\) | −0.879385 | + | 1.52314i | −0.0333330 | + | 0.0577345i | ||||
\(697\) | −2.71688 | + | 0.988864i | −0.102909 | + | 0.0374559i | ||||
\(698\) | −5.05913 | − | 28.6917i | −0.191491 | − | 1.08600i | ||||
\(699\) | 1.14796 | − | 6.51038i | 0.0434197 | − | 0.246245i | ||||
\(700\) | −4.43242 | − | 1.61327i | −0.167530 | − | 0.0609758i | ||||
\(701\) | 16.7365 | − | 14.0436i | 0.632128 | − | 0.530419i | −0.269461 | − | 0.963011i | \(-0.586846\pi\) |
0.901589 | + | 0.432593i | \(0.142401\pi\) | |||||||
\(702\) | 2.38919 | 0.0901740 | ||||||||
\(703\) | 20.9923 | + | 35.1719i | 0.791740 | + | 1.32653i | ||||
\(704\) | −1.53209 | −0.0577428 | ||||||||
\(705\) | 4.17752 | − | 3.50535i | 0.157334 | − | 0.132019i | ||||
\(706\) | 1.54664 | + | 0.562930i | 0.0582084 | + | 0.0211861i | ||||
\(707\) | 8.49350 | − | 48.1690i | 0.319431 | − | 1.81158i | ||||
\(708\) | 1.64156 | + | 9.30975i | 0.0616936 | + | 0.349882i | ||||
\(709\) | −3.35679 | + | 1.22177i | −0.126067 | + | 0.0458846i | −0.404283 | − | 0.914634i | \(-0.632479\pi\) |
0.278216 | + | 0.960518i | \(0.410257\pi\) | |||||||
\(710\) | 3.65270 | − | 6.32667i | 0.137084 | − | 0.237436i | ||||
\(711\) | 4.82295 | + | 8.35359i | 0.180875 | + | 0.313284i | ||||
\(712\) | 3.87346 | + | 3.25022i | 0.145164 | + | 0.121807i | ||||
\(713\) | −35.0310 | − | 29.3945i | −1.31192 | − | 1.10083i | ||||
\(714\) | 0.568926 | + | 0.985408i | 0.0212915 | + | 0.0368780i | ||||
\(715\) | −1.83022 | + | 3.17004i | −0.0684464 | + | 0.118553i | ||||
\(716\) | −10.4410 | + | 3.80023i | −0.390200 | + | 0.142021i | ||||
\(717\) | 2.75103 | + | 15.6019i | 0.102739 | + | 0.582662i | ||||
\(718\) | 5.38919 | − | 30.5636i | 0.201123 | − | 1.14062i | ||||
\(719\) | −6.59627 | − | 2.40084i | −0.245999 | − | 0.0895364i | 0.216078 | − | 0.976376i | \(-0.430673\pi\) |
−0.462077 | + | 0.886840i | \(0.652896\pi\) | |||||||
\(720\) | −0.766044 | + | 0.642788i | −0.0285488 | + | 0.0239553i | ||||
\(721\) | −69.8130 | −2.59997 | ||||||||
\(722\) | −3.84049 | − | 18.6078i | −0.142928 | − | 0.692511i | ||||
\(723\) | 6.64590 | 0.247164 | ||||||||
\(724\) | 6.79292 | − | 5.69994i | 0.252457 | − | 0.211836i | ||||
\(725\) | −1.65270 | − | 0.601535i | −0.0613799 | − | 0.0223404i | ||||
\(726\) | −1.50253 | + | 8.52125i | −0.0557640 | + | 0.316253i | ||||
\(727\) | 6.85204 | + | 38.8599i | 0.254128 | + | 1.44123i | 0.798300 | + | 0.602259i | \(0.205733\pi\) |
−0.544172 | + | 0.838974i | \(0.683156\pi\) | |||||||
\(728\) | 10.5899 | − | 3.85440i | 0.392487 | − | 0.142853i | ||||
\(729\) | −0.500000 | + | 0.866025i | −0.0185185 | + | 0.0320750i | ||||
\(730\) | 2.18479 | + | 3.78417i | 0.0808628 | + | 0.140058i | ||||
\(731\) | −1.37370 | − | 1.15267i | −0.0508083 | − | 0.0426332i | ||||
\(732\) | −2.00000 | − | 1.67820i | −0.0739221 | − | 0.0620280i | ||||
\(733\) | −8.73989 | − | 15.1379i | −0.322815 | − | 0.559132i | 0.658253 | − | 0.752797i | \(-0.271296\pi\) |
−0.981068 | + | 0.193665i | \(0.937963\pi\) | |||||||
\(734\) | −10.0740 | + | 17.4486i | −0.371837 | + | 0.644041i | ||||
\(735\) | −14.3293 | + | 5.21546i | −0.528546 | + | 0.192375i | ||||
\(736\) | 1.16385 | + | 6.60051i | 0.0429000 | + | 0.243298i | ||||
\(737\) | 1.09833 | − | 6.22892i | 0.0404574 | − | 0.229445i | ||||
\(738\) | −11.2626 | − | 4.09927i | −0.414584 | − | 0.150896i | ||||
\(739\) | −4.17886 | + | 3.50648i | −0.153722 | + | 0.128988i | −0.716405 | − | 0.697685i | \(-0.754214\pi\) |
0.562683 | + | 0.826673i | \(0.309769\pi\) | |||||||
\(740\) | 9.39693 | 0.345438 | ||||||||
\(741\) | 5.33733 | + | 8.94253i | 0.196072 | + | 0.328512i | ||||
\(742\) | −28.4064 | −1.04283 | ||||||||
\(743\) | −11.4440 | + | 9.60268i | −0.419841 | + | 0.352288i | −0.828103 | − | 0.560577i | \(-0.810580\pi\) |
0.408262 | + | 0.912865i | \(0.366135\pi\) | |||||||
\(744\) | −6.41147 | − | 2.33359i | −0.235056 | − | 0.0855534i | ||||
\(745\) | 2.23442 | − | 12.6720i | 0.0818629 | − | 0.464268i | ||||
\(746\) | 3.32114 | + | 18.8351i | 0.121595 | + | 0.689602i | ||||
\(747\) | 9.29086 | − | 3.38160i | 0.339935 | − | 0.123726i | ||||
\(748\) | −0.184793 | + | 0.320070i | −0.00675668 | + | 0.0117029i | ||||
\(749\) | 26.0256 | + | 45.0776i | 0.950954 | + | 1.64710i | ||||
\(750\) | −0.766044 | − | 0.642788i | −0.0279720 | − | 0.0234713i | ||||
\(751\) | −1.25671 | − | 1.05451i | −0.0458580 | − | 0.0384795i | 0.619571 | − | 0.784941i | \(-0.287307\pi\) |
−0.665429 | + | 0.746461i | \(0.731751\pi\) | |||||||
\(752\) | −2.72668 | − | 4.72275i | −0.0994318 | − | 0.172221i | ||||
\(753\) | −14.4855 | + | 25.0895i | −0.527879 | + | 0.914314i | ||||
\(754\) | 3.94862 | − | 1.43718i | 0.143800 | − | 0.0523390i | ||||
\(755\) | 0.0418891 | + | 0.237565i | 0.00152450 | + | 0.00864586i | ||||
\(756\) | −0.819078 | + | 4.64522i | −0.0297896 | + | 0.168945i | ||||
\(757\) | 7.14203 | + | 2.59948i | 0.259581 | + | 0.0944799i | 0.468533 | − | 0.883446i | \(-0.344783\pi\) |
−0.208951 | + | 0.977926i | \(0.567005\pi\) | |||||||
\(758\) | −2.80793 | + | 2.35614i | −0.101989 | + | 0.0855787i | ||||
\(759\) | −10.2686 | −0.372726 | ||||||||
\(760\) | −4.11721 | − | 1.43128i | −0.149347 | − | 0.0519181i | ||||
\(761\) | −12.0145 | −0.435527 | −0.217764 | − | 0.976002i | \(-0.569876\pi\) | ||||
−0.217764 | + | 0.976002i | \(0.569876\pi\) | |||||||
\(762\) | −16.7724 | + | 14.0737i | −0.607601 | + | 0.509838i | ||||
\(763\) | 47.9718 | + | 17.4603i | 1.73670 | + | 0.632106i | ||||
\(764\) | 2.07873 | − | 11.7890i | 0.0752057 | − | 0.426512i | ||||
\(765\) | 0.0418891 | + | 0.237565i | 0.00151450 | + | 0.00858917i | ||||
\(766\) | 29.6771 | − | 10.8016i | 1.07228 | − | 0.390277i | ||||
\(767\) | 11.2929 | − | 19.5599i | 0.407764 | − | 0.706267i | ||||
\(768\) | 0.500000 | + | 0.866025i | 0.0180422 | + | 0.0312500i | ||||
\(769\) | −18.7815 | − | 15.7596i | −0.677279 | − | 0.568305i | 0.237931 | − | 0.971282i | \(-0.423531\pi\) |
−0.915210 | + | 0.402977i | \(0.867975\pi\) | |||||||
\(770\) | −5.53596 | − | 4.64522i | −0.199502 | − | 0.167402i | ||||
\(771\) | 6.51754 | + | 11.2887i | 0.234724 | + | 0.406553i | ||||
\(772\) | 4.36959 | − | 7.56834i | 0.157265 | − | 0.272391i | ||||
\(773\) | 35.7720 | − | 13.0200i | 1.28663 | − | 0.468295i | 0.394011 | − | 0.919106i | \(-0.371087\pi\) |
0.892620 | + | 0.450811i | \(0.148865\pi\) | |||||||
\(774\) | −1.29086 | − | 7.32083i | −0.0463990 | − | 0.263142i | ||||
\(775\) | 1.18479 | − | 6.71929i | 0.0425590 | − | 0.241364i | ||||
\(776\) | −5.41147 | − | 1.96962i | −0.194261 | − | 0.0707051i | ||||
\(777\) | 33.9543 | − | 28.4910i | 1.21810 | − | 1.02211i | ||||
\(778\) | 5.32089 | 0.190763 | ||||||||
\(779\) | −9.81702 | − | 51.3127i | −0.351731 | − | 1.83847i | ||||
\(780\) | 2.38919 | 0.0855466 | ||||||||
\(781\) | 8.57398 | − | 7.19442i | 0.306801 | − | 0.257437i | ||||
\(782\) | 1.51930 | + | 0.552978i | 0.0543299 | + | 0.0197745i | ||||
\(783\) | −0.305407 | + | 1.73205i | −0.0109144 | + | 0.0618984i | ||||
\(784\) | 2.64796 | + | 15.0173i | 0.0945699 | + | 0.536332i | ||||
\(785\) | −0.233956 | + | 0.0851529i | −0.00835023 | + | 0.00303924i | ||||
\(786\) | −5.35117 | + | 9.26849i | −0.190870 | + | 0.330596i | ||||
\(787\) | −17.9094 | − | 31.0200i | −0.638402 | − | 1.10574i | −0.985784 | − | 0.168020i | \(-0.946263\pi\) |
0.347382 | − | 0.937724i | \(-0.387071\pi\) | |||||||
\(788\) | 14.3739 | + | 12.0612i | 0.512050 | + | 0.429661i | ||||
\(789\) | 1.54323 | + | 1.29493i | 0.0549406 | + | 0.0461006i | ||||
\(790\) | 4.82295 | + | 8.35359i | 0.171593 | + | 0.297207i | ||||
\(791\) | −27.7324 | + | 48.0339i | −0.986049 | + | 1.70789i | ||||
\(792\) | −1.43969 | + | 0.524005i | −0.0511572 | + | 0.0186197i | ||||
\(793\) | 1.08317 | + | 6.14296i | 0.0384644 | + | 0.218143i | ||||
\(794\) | −0.310622 | + | 1.76162i | −0.0110236 | + | 0.0625177i | ||||
\(795\) | −5.65910 | − | 2.05974i | −0.200708 | − | 0.0730516i | ||||
\(796\) | −5.09833 | + | 4.27800i | −0.180705 | + | 0.151630i | ||||
\(797\) | −0.300355 | −0.0106391 | −0.00531956 | − | 0.999986i | \(-0.501693\pi\) | ||||
−0.00531956 | + | 0.999986i | \(0.501693\pi\) | |||||||
\(798\) | −19.2165 | + | 7.31148i | −0.680256 | + | 0.258823i | ||||
\(799\) | −1.31551 | −0.0465395 | ||||||||
\(800\) | −0.766044 | + | 0.642788i | −0.0270838 | + | 0.0227260i | ||||
\(801\) | 4.75150 | + | 1.72940i | 0.167886 | + | 0.0611055i | ||||
\(802\) | −1.90404 | + | 10.7983i | −0.0672339 | + | 0.381303i | ||||
\(803\) | 1.16250 | + | 6.59289i | 0.0410239 | + | 0.232658i | ||||
\(804\) | −3.87939 | + | 1.41198i | −0.136815 | + | 0.0497967i | ||||
\(805\) | −15.8071 | + | 27.3786i | −0.557126 | + | 0.964970i | ||||
\(806\) | 8.15064 | + | 14.1173i | 0.287094 | + | 0.497262i | ||||
\(807\) | 15.9172 | + | 13.3561i | 0.560310 | + | 0.470156i | ||||
\(808\) | −7.94356 | − | 6.66544i | −0.279454 | − | 0.234489i | ||||
\(809\) | 4.91147 | + | 8.50692i | 0.172678 | + | 0.299087i | 0.939355 | − | 0.342945i | \(-0.111425\pi\) |
−0.766677 | + | 0.642033i | \(0.778091\pi\) | |||||||
\(810\) | −0.500000 | + | 0.866025i | −0.0175682 | + | 0.0304290i | ||||
\(811\) | 0.558086 | − | 0.203127i | 0.0195970 | − | 0.00713274i | −0.332203 | − | 0.943208i | \(-0.607792\pi\) |
0.351800 | + | 0.936075i | \(0.385570\pi\) | |||||||
\(812\) | 1.44057 | + | 8.16988i | 0.0505541 | + | 0.286707i | ||||
\(813\) | −4.04694 | + | 22.9513i | −0.141932 | + | 0.804939i | ||||
\(814\) | 13.5287 | + | 4.92404i | 0.474180 | + | 0.172587i | ||||
\(815\) | 4.32501 | − | 3.62911i | 0.151498 | − | 0.127122i | ||||
\(816\) | 0.241230 | 0.00844472 | ||||||||
\(817\) | 24.5175 | − | 21.1860i | 0.857760 | − | 0.741204i | ||||
\(818\) | 9.73648 | 0.340428 | ||||||||
\(819\) | 8.63294 | − | 7.24390i | 0.301659 | − | 0.253122i | ||||
\(820\) | −11.2626 | − | 4.09927i | −0.393308 | − | 0.143153i | ||||
\(821\) | 1.90404 | − | 10.7983i | 0.0664514 | − | 0.376865i | −0.933387 | − | 0.358872i | \(-0.883161\pi\) |
0.999838 | − | 0.0179924i | \(-0.00572747\pi\) | |||||||
\(822\) | −0.248970 | − | 1.41198i | −0.00868384 | − | 0.0492485i | ||||
\(823\) | −46.5899 | + | 16.9573i | −1.62402 | + | 0.591096i | −0.984143 | − | 0.177379i | \(-0.943238\pi\) |
−0.639880 | + | 0.768475i | \(0.721016\pi\) | |||||||
\(824\) | −7.40033 | + | 12.8177i | −0.257803 | + | 0.446527i | ||||
\(825\) | −0.766044 | − | 1.32683i | −0.0266702 | − | 0.0461942i | ||||
\(826\) | 34.1582 | + | 28.6622i | 1.18852 | + | 0.997284i | ||||
\(827\) | 26.9368 | + | 22.6026i | 0.936683 | + | 0.785970i | 0.977005 | − | 0.213217i | \(-0.0683940\pi\) |
−0.0403222 | + | 0.999187i | \(0.512838\pi\) | |||||||
\(828\) | 3.35117 | + | 5.80439i | 0.116461 | + | 0.201717i | ||||
\(829\) | 0.958111 | − | 1.65950i | 0.0332766 | − | 0.0576367i | −0.848907 | − | 0.528541i | \(-0.822739\pi\) |
0.882184 | + | 0.470905i | \(0.156072\pi\) | |||||||
\(830\) | 9.29086 | − | 3.38160i | 0.322490 | − | 0.117377i | ||||
\(831\) | −3.58512 | − | 20.3322i | −0.124367 | − | 0.705318i | ||||
\(832\) | 0.414878 | − | 2.35289i | 0.0143833 | − | 0.0815717i | ||||
\(833\) | 3.45666 | + | 1.25812i | 0.119766 | + | 0.0435913i | ||||
\(834\) | 11.5326 | − | 9.67696i | 0.399340 | − | 0.335086i | ||||
\(835\) | −12.8530 | −0.444796 | ||||||||
\(836\) | −5.17752 | − | 4.21805i | −0.179068 | − | 0.145884i | ||||
\(837\) | −6.82295 | −0.235836 | ||||||||
\(838\) | −13.3157 | + | 11.1732i | −0.459982 | + | 0.385971i | ||||
\(839\) | 48.3046 | + | 17.5814i | 1.66766 | + | 0.606978i | 0.991539 | − | 0.129812i | \(-0.0414375\pi\) |
0.676121 | + | 0.736791i | \(0.263660\pi\) | |||||||
\(840\) | −0.819078 | + | 4.64522i | −0.0282609 | + | 0.160275i | ||||
\(841\) | −4.49866 | − | 25.5131i | −0.155126 | − | 0.879764i | ||||
\(842\) | −36.5749 | + | 13.3122i | −1.26045 | + | 0.458768i | ||||
\(843\) | 7.94016 | − | 13.7528i | 0.273474 | − | 0.473670i | ||||
\(844\) | −8.12108 | − | 14.0661i | −0.279539 | − | 0.484176i | ||||
\(845\) | 5.58584 | + | 4.68707i | 0.192159 | + | 0.161240i | ||||
\(846\) | −4.17752 | − | 3.50535i | −0.143626 | − | 0.120517i | ||||
\(847\) | 20.4069 | + | 35.3458i | 0.701189 | + | 1.21449i | ||||
\(848\) | −3.01114 | + | 5.21546i | −0.103403 | + | 0.179099i | ||||
\(849\) | −14.2344 | + | 5.18091i | −0.488524 | + | 0.177808i | ||||
\(850\) | 0.0418891 | + | 0.237565i | 0.00143678 | + | 0.00814840i | ||||
\(851\) | 10.9366 | − | 62.0245i | 0.374902 | − | 2.12617i | ||||
\(852\) | −6.86484 | − | 2.49860i | −0.235185 | − | 0.0856005i | ||||
\(853\) | 18.9244 | − | 15.8795i | 0.647960 | − | 0.543703i | −0.258491 | − | 0.966014i | \(-0.583225\pi\) |
0.906451 | + | 0.422311i | \(0.138781\pi\) | |||||||
\(854\) | −12.3149 | −0.421407 | ||||||||
\(855\) | −4.35844 | + | 0.0632028i | −0.149056 | + | 0.00216149i | ||||
\(856\) | 11.0351 | 0.377171 | ||||||||
\(857\) | 25.3405 | − | 21.2632i | 0.865615 | − | 0.726337i | −0.0975554 | − | 0.995230i | \(-0.531102\pi\) |
0.963170 | + | 0.268893i | \(0.0866579\pi\) | |||||||
\(858\) | 3.43969 | + | 1.25195i | 0.117429 | + | 0.0427407i | ||||
\(859\) | −6.90049 | + | 39.1346i | −0.235442 | + | 1.33526i | 0.606240 | + | 0.795282i | \(0.292677\pi\) |
−0.841681 | + | 0.539974i | \(0.818434\pi\) | |||||||
\(860\) | −1.29086 | − | 7.32083i | −0.0440179 | − | 0.249638i | ||||
\(861\) | −53.1245 | + | 19.3358i | −1.81048 | + | 0.658961i | ||||
\(862\) | −6.50980 | + | 11.2753i | −0.221725 | + | 0.384038i | ||||
\(863\) | −11.2194 | − | 19.4326i | −0.381913 | − | 0.661493i | 0.609423 | − | 0.792846i | \(-0.291401\pi\) |
−0.991336 | + | 0.131353i | \(0.958068\pi\) | |||||||
\(864\) | 0.766044 | + | 0.642788i | 0.0260614 | + | 0.0218681i | ||||
\(865\) | 9.55097 | + | 8.01422i | 0.324743 | + | 0.272492i | ||||
\(866\) | 1.04189 | + | 1.80460i | 0.0354048 | + | 0.0613230i | ||||
\(867\) | −8.47090 | + | 14.6720i | −0.287687 | + | 0.498288i | ||||
\(868\) | −30.2422 | + | 11.0072i | −1.02649 | + | 0.373610i | ||||
\(869\) | 2.56624 | + | 14.5539i | 0.0870536 | + | 0.493706i | ||||
\(870\) | −0.305407 | + | 1.73205i | −0.0103543 | + | 0.0587220i | ||||
\(871\) | 9.26857 | + | 3.37348i | 0.314054 | + | 0.114306i | ||||
\(872\) | 8.29086 | − | 6.95686i | 0.280764 | − | 0.235589i | ||||
\(873\) | −5.75877 | −0.194905 | ||||||||
\(874\) | −14.2390 | + | 25.5099i | −0.481642 | + | 0.862885i | ||||
\(875\) | −4.71688 | −0.159460 | ||||||||
\(876\) | 3.34730 | − | 2.80872i | 0.113095 | − | 0.0948977i | ||||
\(877\) | −17.6155 | − | 6.41150i | −0.594832 | − | 0.216501i | 0.0270215 | − | 0.999635i | \(-0.491398\pi\) |
−0.621853 | + | 0.783134i | \(0.713620\pi\) | |||||||
\(878\) | −2.45336 | + | 13.9137i | −0.0827970 | + | 0.469565i | ||||
\(879\) | −4.81227 | − | 27.2917i | −0.162314 | − | 0.920528i | ||||
\(880\) | −1.43969 | + | 0.524005i | −0.0485320 | + | 0.0176642i | ||||
\(881\) | 22.4003 | − | 38.7985i | 0.754686 | − | 1.30715i | −0.190844 | − | 0.981620i | \(-0.561122\pi\) |
0.945530 | − | 0.325535i | \(-0.105544\pi\) | |||||||
\(882\) | 7.62449 | + | 13.2060i | 0.256730 | + | 0.444669i | ||||
\(883\) | −6.48751 | − | 5.44367i | −0.218322 | − | 0.183194i | 0.527067 | − | 0.849824i | \(-0.323292\pi\) |
−0.745389 | + | 0.666630i | \(0.767736\pi\) | |||||||
\(884\) | −0.441504 | − | 0.370466i | −0.0148494 | − | 0.0124601i | ||||
\(885\) | 4.72668 | + | 8.18685i | 0.158886 | + | 0.275198i | ||||
\(886\) | 7.20439 | − | 12.4784i | 0.242036 | − | 0.419219i | ||||
\(887\) | 31.7139 | − | 11.5429i | 1.06485 | − | 0.387574i | 0.250602 | − | 0.968090i | \(-0.419372\pi\) |
0.814248 | + | 0.580517i | \(0.197149\pi\) | |||||||
\(888\) | −1.63176 | − | 9.25417i | −0.0547583 | − | 0.310549i | ||||
\(889\) | −17.9336 | + | 101.707i | −0.601474 | + | 3.41113i | ||||
\(890\) | 4.75150 | + | 1.72940i | 0.159271 | + | 0.0579697i | ||||
\(891\) | −1.17365 | + | 0.984808i | −0.0393187 | + | 0.0329923i | ||||
\(892\) | 27.4739 | 0.919894 | ||||||||
\(893\) | 3.78787 | − | 23.4669i | 0.126756 | − | 0.785291i | ||||
\(894\) | −12.8675 | −0.430354 | ||||||||
\(895\) | −8.51161 | + | 7.14209i | −0.284512 | + | 0.238734i | ||||
\(896\) | 4.43242 | + | 1.61327i | 0.148077 | + | 0.0538955i | ||||
\(897\) | 2.78065 | − | 15.7698i | 0.0928432 | − | 0.526540i | ||||
\(898\) | −1.30288 | − | 7.38901i | −0.0434777 | − | 0.246574i | ||||
\(899\) | −11.2763 | + | 4.10424i | −0.376086 | + | 0.136884i | ||||
\(900\) | −0.500000 | + | 0.866025i | −0.0166667 | + | 0.0288675i | ||||
\(901\) | 0.726377 | + | 1.25812i | 0.0241991 | + | 0.0419141i | ||||
\(902\) | −14.0667 | − | 11.8034i | −0.468370 | − | 0.393009i | ||||
\(903\) | −26.8607 | − | 22.5388i | −0.893869 | − | 0.750045i | ||||
\(904\) | 5.87939 | + | 10.1834i | 0.195545 | + | 0.338695i | ||||
\(905\) | 4.43376 | − | 7.67950i | 0.147383 | − | 0.255275i | ||||
\(906\) | 0.226682 | − | 0.0825054i | 0.00753099 | − | 0.00274106i | ||||
\(907\) | 5.27725 | + | 29.9287i | 0.175228 | + | 0.993768i | 0.937880 | + | 0.346959i | \(0.112786\pi\) |
−0.762652 | + | 0.646809i | \(0.776103\pi\) | |||||||
\(908\) | 0.00505244 | − | 0.0286538i | 0.000167671 | − | 0.000950910i | ||||
\(909\) | −9.74422 | − | 3.54661i | −0.323195 | − | 0.117634i | ||||
\(910\) | 8.63294 | − | 7.24390i | 0.286179 | − | 0.240133i | ||||
\(911\) | −7.71957 | −0.255761 | −0.127880 | − | 0.991790i | \(-0.540817\pi\) | ||||
−0.127880 | + | 0.991790i | \(0.540817\pi\) | |||||||
\(912\) | −0.694593 | + | 4.30320i | −0.0230003 | + | 0.142493i | ||||
\(913\) | 15.1480 | 0.501324 | ||||||||
\(914\) | 9.20027 | − | 7.71995i | 0.304318 | − | 0.255353i | ||||
\(915\) | −2.45336 | − | 0.892951i | −0.0811057 | − | 0.0295201i | ||||
\(916\) | −3.56624 | + | 20.2251i | −0.117832 | + | 0.668257i | ||||
\(917\) | 8.76604 | + | 49.7147i | 0.289480 | + | 1.64172i | ||||
\(918\) | 0.226682 | − | 0.0825054i | 0.00748161 | − | 0.00272308i | ||||
\(919\) | 21.0770 | − | 36.5064i | 0.695265 | − | 1.20423i | −0.274826 | − | 0.961494i | \(-0.588620\pi\) |
0.970091 | − | 0.242741i | \(-0.0780464\pi\) | |||||||
\(920\) | 3.35117 | + | 5.80439i | 0.110485 | + | 0.191365i | ||||
\(921\) | −2.72462 | − | 2.28623i | −0.0897794 | − | 0.0753338i | ||||
\(922\) | −26.2763 | − | 22.0484i | −0.865364 | − | 0.726127i | ||||
\(923\) | 8.72699 | + | 15.1156i | 0.287252 | + | 0.497535i | ||||
\(924\) | −3.61334 | + | 6.25849i | −0.118870 | + | 0.205889i | ||||
\(925\) | 8.83022 | − | 3.21394i | 0.290336 | − | 0.105674i | ||||
\(926\) | 1.84002 | + | 10.4353i | 0.0604669 | + | 0.342925i | ||||
\(927\) | −2.57011 | + | 14.5758i | −0.0844134 | + | 0.478732i | ||||
\(928\) | 1.65270 | + | 0.601535i | 0.0542527 | + | 0.0197464i | ||||
\(929\) | −21.4363 | + | 17.9872i | −0.703302 | + | 0.590140i | −0.922711 | − | 0.385493i | \(-0.874032\pi\) |
0.219409 | + | 0.975633i | \(0.429587\pi\) | |||||||
\(930\) | −6.82295 | −0.223733 | ||||||||
\(931\) | −32.3962 | + | 58.0394i | −1.06174 | + | 1.90217i | ||||
\(932\) | −6.61081 | −0.216544 | ||||||||
\(933\) | 22.7442 | − | 19.0847i | 0.744612 | − | 0.624804i | ||||
\(934\) | 14.6091 | + | 5.31726i | 0.478023 | + | 0.173986i | ||||
\(935\) | −0.0641778 | + | 0.363970i | −0.00209884 | + | 0.0119031i | ||||
\(936\) | −0.414878 | − | 2.35289i | −0.0135607 | − | 0.0769066i | ||||
\(937\) | 37.1762 | − | 13.5310i | 1.21449 | − | 0.442040i | 0.346234 | − | 0.938148i | \(-0.387460\pi\) |
0.868261 | + | 0.496108i | \(0.165238\pi\) | |||||||
\(938\) | −9.73648 | + | 16.8641i | −0.317907 | + | 0.550632i | ||||
\(939\) | −14.1334 | − | 24.4798i | −0.461226 | − | 0.798867i | ||||
\(940\) | −4.17752 | − | 3.50535i | −0.136256 | − | 0.114332i | ||||
\(941\) | 6.38919 | + | 5.36116i | 0.208281 | + | 0.174769i | 0.740961 | − | 0.671548i | \(-0.234370\pi\) |
−0.532679 | + | 0.846317i | \(0.678815\pi\) | |||||||
\(942\) | 0.124485 | + | 0.215615i | 0.00405595 | + | 0.00702510i | ||||
\(943\) | −40.1652 | + | 69.5683i | −1.30796 | + | 2.26545i | ||||
\(944\) | 8.88326 | − | 3.23324i | 0.289125 | − | 0.105233i | ||||
\(945\) | 0.819078 | + | 4.64522i | 0.0266446 | + | 0.151109i | ||||
\(946\) | 1.97771 | − | 11.2162i | 0.0643009 | − | 0.364669i | ||||
\(947\) | −33.9513 | − | 12.3573i | −1.10327 | − | 0.401557i | −0.274749 | − | 0.961516i | \(-0.588595\pi\) |
−0.828520 | + | 0.559959i | \(0.810817\pi\) | |||||||
\(948\) | 7.38919 | − | 6.20026i | 0.239990 | − | 0.201375i | ||||
\(949\) | −10.4397 | −0.338889 | ||||||||
\(950\) | −4.35844 | + | 0.0632028i | −0.141406 | + | 0.00205057i | ||||
\(951\) | −26.8239 | −0.869824 | ||||||||
\(952\) | 0.871644 | − | 0.731397i | 0.0282502 | − | 0.0237047i | ||||
\(953\) | 42.6536 | + | 15.5247i | 1.38169 | + | 0.502893i | 0.922689 | − | 0.385545i | \(-0.125986\pi\) |
0.458998 | + | 0.888437i | \(0.348209\pi\) | |||||||
\(954\) | −1.04576 | + | 5.93080i | −0.0338577 | + | 0.192017i | ||||
\(955\) | −2.07873 | − | 11.7890i | −0.0672660 | − | 0.381484i | ||||
\(956\) | 14.8871 | − | 5.41847i | 0.481484 | − | 0.175246i | ||||
\(957\) | −1.34730 | + | 2.33359i | −0.0435519 | + | 0.0754341i | ||||
\(958\) | −9.00000 | − | 15.5885i | −0.290777 | − | 0.503640i | ||||
\(959\) | −5.18067 | − | 4.34710i | −0.167293 | − | 0.140375i | ||||
\(960\) | 0.766044 | + | 0.642788i | 0.0247240 | + | 0.0207459i | ||||
\(961\) | −7.77631 | − | 13.4690i | −0.250849 | − | 0.434483i | ||||
\(962\) | −11.2255 | + | 19.4431i | −0.361925 | + | 0.626872i | ||||
\(963\) | 10.3696 | − | 3.77422i | 0.334155 | − | 0.121623i | ||||
\(964\) | −1.15405 | − | 6.54493i | −0.0371694 | − | 0.210798i | ||||
\(965\) | 1.51754 | − | 8.60640i | 0.0488514 | − | 0.277050i | ||||
\(966\) | 29.7075 | + | 10.8127i | 0.955825 | + | 0.347892i | ||||
\(967\) | 14.4088 | − | 12.0904i | 0.463355 | − | 0.388801i | −0.381008 | − | 0.924572i | \(-0.624423\pi\) |
0.844364 | + | 0.535770i | \(0.179979\pi\) | |||||||
\(968\) | 8.65270 | 0.278108 | ||||||||
\(969\) | 0.815207 | + | 0.664138i | 0.0261882 | + | 0.0213352i | ||||
\(970\) | −5.75877 | −0.184903 | ||||||||
\(971\) | −22.9559 | + | 19.2623i | −0.736690 | + | 0.618156i | −0.931946 | − | 0.362596i | \(-0.881890\pi\) |
0.195257 | + | 0.980752i | \(0.437446\pi\) | |||||||
\(972\) | 0.939693 | + | 0.342020i | 0.0301407 | + | 0.0109703i | ||||
\(973\) | 12.3310 | − | 69.9323i | 0.395312 | − | 2.24193i | ||||
\(974\) | −0.803596 | − | 4.55742i | −0.0257489 | − | 0.146029i | ||||
\(975\) | 2.24510 | − | 0.817150i | 0.0719007 | − | 0.0261697i | ||||
\(976\) | −1.30541 | + | 2.26103i | −0.0417851 | + | 0.0723739i | ||||
\(977\) | 10.8280 | + | 18.7546i | 0.346418 | + | 0.600014i | 0.985610 | − | 0.169033i | \(-0.0540644\pi\) |
−0.639192 | + | 0.769047i | \(0.720731\pi\) | |||||||
\(978\) | −4.32501 | − | 3.62911i | −0.138298 | − | 0.116046i | ||||
\(979\) | 5.93448 | + | 4.97962i | 0.189667 | + | 0.159149i | ||||
\(980\) | 7.62449 | + | 13.2060i | 0.243555 | + | 0.421850i | ||||
\(981\) | 5.41147 | − | 9.37295i | 0.172775 | − | 0.299255i | ||||
\(982\) | −32.6095 | + | 11.8689i | −1.04061 | + | 0.378752i | ||||
\(983\) | −6.38548 | − | 36.2138i | −0.203665 | − | 1.15504i | −0.899527 | − | 0.436866i | \(-0.856088\pi\) |
0.695861 | − | 0.718176i | \(-0.255023\pi\) | |||||||
\(984\) | −2.08125 | + | 11.8034i | −0.0663479 | + | 0.376278i | ||||
\(985\) | 17.6322 | + | 6.41761i | 0.561809 | + | 0.204482i | ||||
\(986\) | 0.325008 | − | 0.272714i | 0.0103504 | − | 0.00868498i | ||||
\(987\) | −25.7229 | −0.818768 | ||||||||
\(988\) | 7.87985 | − | 6.80910i | 0.250691 | − | 0.216626i | ||||
\(989\) | −49.8236 | −1.58430 | ||||||||
\(990\) | −1.17365 | + | 0.984808i | −0.0373010 | + | 0.0312992i | ||||
\(991\) | −54.1147 | − | 19.6962i | −1.71901 | − | 0.625669i | −0.721258 | − | 0.692666i | \(-0.756436\pi\) |
−0.997753 | + | 0.0669973i | \(0.978658\pi\) | |||||||
\(992\) | −1.18479 | + | 6.71929i | −0.0376172 | + | 0.213338i | ||||
\(993\) | −1.27244 | − | 7.21637i | −0.0403797 | − | 0.229005i | ||||
\(994\) | −32.3806 | + | 11.7856i | −1.02705 | + | 0.373816i | ||||
\(995\) | −3.32770 | + | 5.76374i | −0.105495 | + | 0.182723i | ||||
\(996\) | −4.94356 | − | 8.56250i | −0.156643 | − | 0.271313i | ||||
\(997\) | −3.08197 | − | 2.58608i | −0.0976069 | − | 0.0819019i | 0.592678 | − | 0.805439i | \(-0.298071\pi\) |
−0.690285 | + | 0.723537i | \(0.742515\pi\) | |||||||
\(998\) | 21.8855 | + | 18.3641i | 0.692774 | + | 0.581307i | ||||
\(999\) | −4.69846 | − | 8.13798i | −0.148653 | − | 0.257474i |
(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.a.481.1 | yes | 6 | |
19.16 | even | 9 | inner | 570.2.u.a.301.1 | ✓ | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.u.a.301.1 | ✓ | 6 | 19.16 | even | 9 | inner | |
570.2.u.a.481.1 | yes | 6 | 1.1 | even | 1 | trivial |