Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [190,2,Mod(61,190)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(190, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([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("190.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 190 = 2 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 190.k (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: | \(1.51715763840\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} + \cdots + 64 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 61.3 | ||
Root | \(-1.58985 - 2.75370i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 190.61 |
Dual form | 190.2.k.d.81.3 |
$q$-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 \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | + | 0.342020i | 0.664463 | + | 0.241845i | ||||
\(3\) | 0.552148 | + | 3.13139i | 0.318783 | + | 1.80791i | 0.550178 | + | 0.835047i | \(0.314560\pi\) |
−0.231396 | + | 0.972860i | \(0.574329\pi\) | |||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 0.766044 | − | 0.642788i | 0.342585 | − | 0.287463i | ||||
\(6\) | −0.552148 | + | 3.13139i | −0.225413 | + | 1.27838i | ||||
\(7\) | 1.67305 | − | 2.89781i | 0.632354 | − | 1.09527i | −0.354715 | − | 0.934975i | \(-0.615422\pi\) |
0.987069 | − | 0.160295i | \(-0.0512447\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −6.68164 | + | 2.43192i | −2.22721 | + | 0.810639i | ||||
\(10\) | 0.939693 | − | 0.342020i | 0.297157 | − | 0.108156i | ||||
\(11\) | −3.09216 | − | 5.35578i | −0.932322 | − | 1.61483i | −0.779341 | − | 0.626600i | \(-0.784446\pi\) |
−0.152981 | − | 0.988229i | \(-0.548887\pi\) | |||||||
\(12\) | −1.58985 | + | 2.75370i | −0.458949 | + | 0.794923i | ||||
\(13\) | −0.128260 | + | 0.727397i | −0.0355729 | + | 0.201744i | −0.997415 | − | 0.0718630i | \(-0.977106\pi\) |
0.961842 | + | 0.273607i | \(0.0882167\pi\) | |||||||
\(14\) | 2.56327 | − | 2.15083i | 0.685061 | − | 0.574835i | ||||
\(15\) | 2.43579 | + | 2.04387i | 0.628917 | + | 0.527724i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −0.815778 | − | 0.296919i | −0.197855 | − | 0.0720134i | 0.241192 | − | 0.970477i | \(-0.422462\pi\) |
−0.439047 | + | 0.898464i | \(0.644684\pi\) | |||||||
\(18\) | −7.11045 | −1.67595 | ||||||||
\(19\) | −2.59916 | + | 3.49919i | −0.596289 | + | 0.802770i | ||||
\(20\) | 1.00000 | 0.223607 | ||||||||
\(21\) | 9.99794 | + | 3.63895i | 2.18173 | + | 0.794085i | ||||
\(22\) | −1.07390 | − | 6.09037i | −0.228956 | − | 1.29847i | ||||
\(23\) | −0.875950 | − | 0.735009i | −0.182648 | − | 0.153260i | 0.546879 | − | 0.837211i | \(-0.315816\pi\) |
−0.729528 | + | 0.683951i | \(0.760260\pi\) | |||||||
\(24\) | −2.43579 | + | 2.04387i | −0.497203 | + | 0.417203i | ||||
\(25\) | 0.173648 | − | 0.984808i | 0.0347296 | − | 0.196962i | ||||
\(26\) | −0.369309 | + | 0.639662i | −0.0724275 | + | 0.125448i | ||||
\(27\) | −6.53498 | − | 11.3189i | −1.25766 | − | 2.17833i | ||||
\(28\) | 3.14431 | − | 1.14444i | 0.594219 | − | 0.216278i | ||||
\(29\) | 7.32010 | − | 2.66430i | 1.35931 | − | 0.494748i | 0.443468 | − | 0.896290i | \(-0.353748\pi\) |
0.915840 | + | 0.401543i | \(0.131526\pi\) | |||||||
\(30\) | 1.58985 | + | 2.75370i | 0.290265 | + | 0.502754i | ||||
\(31\) | −3.23887 | + | 5.60988i | −0.581718 | + | 1.00756i | 0.413558 | + | 0.910478i | \(0.364286\pi\) |
−0.995276 | + | 0.0970869i | \(0.969048\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | 15.0637 | − | 12.6399i | 2.62225 | − | 2.20033i | ||||
\(34\) | −0.665029 | − | 0.558025i | −0.114051 | − | 0.0957005i | ||||
\(35\) | −0.581045 | − | 3.29527i | −0.0982145 | − | 0.557002i | ||||
\(36\) | −6.68164 | − | 2.43192i | −1.11361 | − | 0.405319i | ||||
\(37\) | 1.68113 | 0.276377 | 0.138188 | − | 0.990406i | \(-0.455872\pi\) | ||||
0.138188 | + | 0.990406i | \(0.455872\pi\) | |||||||
\(38\) | −3.63921 | + | 2.39920i | −0.590357 | + | 0.389202i | ||||
\(39\) | −2.34858 | −0.376074 | ||||||||
\(40\) | 0.939693 | + | 0.342020i | 0.148578 | + | 0.0540781i | ||||
\(41\) | 1.68282 | + | 9.54373i | 0.262812 | + | 1.49048i | 0.775194 | + | 0.631723i | \(0.217652\pi\) |
−0.512383 | + | 0.858757i | \(0.671237\pi\) | |||||||
\(42\) | 8.15040 | + | 6.83899i | 1.25763 | + | 1.05528i | ||||
\(43\) | 1.42354 | − | 1.19449i | 0.217088 | − | 0.182158i | −0.527758 | − | 0.849395i | \(-0.676967\pi\) |
0.744846 | + | 0.667236i | \(0.232523\pi\) | |||||||
\(44\) | 1.07390 | − | 6.09037i | 0.161896 | − | 0.918158i | ||||
\(45\) | −3.55522 | + | 6.15783i | −0.529982 | + | 0.917955i | ||||
\(46\) | −0.571736 | − | 0.990275i | −0.0842978 | − | 0.146008i | ||||
\(47\) | −0.311691 | + | 0.113446i | −0.0454649 | + | 0.0165479i | −0.364652 | − | 0.931144i | \(-0.618812\pi\) |
0.319188 | + | 0.947692i | \(0.396590\pi\) | |||||||
\(48\) | −2.98793 | + | 1.08752i | −0.431271 | + | 0.156970i | ||||
\(49\) | −2.09821 | − | 3.63420i | −0.299744 | − | 0.519172i | ||||
\(50\) | 0.500000 | − | 0.866025i | 0.0707107 | − | 0.122474i | ||||
\(51\) | 0.479338 | − | 2.71846i | 0.0671207 | − | 0.380661i | ||||
\(52\) | −0.565815 | + | 0.474775i | −0.0784644 | + | 0.0658394i | ||||
\(53\) | −5.44265 | − | 4.56693i | −0.747606 | − | 0.627316i | 0.187263 | − | 0.982310i | \(-0.440038\pi\) |
−0.934868 | + | 0.354994i | \(0.884483\pi\) | |||||||
\(54\) | −2.26958 | − | 12.8714i | −0.308850 | − | 1.75158i | ||||
\(55\) | −5.81136 | − | 2.11516i | −0.783604 | − | 0.285209i | ||||
\(56\) | 3.34610 | 0.447142 | ||||||||
\(57\) | −12.3925 | − | 6.20691i | −1.64142 | − | 0.822125i | ||||
\(58\) | 7.78988 | 1.02286 | ||||||||
\(59\) | −4.56719 | − | 1.66232i | −0.594597 | − | 0.216416i | 0.0271531 | − | 0.999631i | \(-0.491356\pi\) |
−0.621750 | + | 0.783216i | \(0.713578\pi\) | |||||||
\(60\) | 0.552148 | + | 3.13139i | 0.0712820 | + | 0.404260i | ||||
\(61\) | 5.53664 | + | 4.64579i | 0.708894 | + | 0.594833i | 0.924289 | − | 0.381694i | \(-0.124659\pi\) |
−0.215394 | + | 0.976527i | \(0.569104\pi\) | |||||||
\(62\) | −4.96223 | + | 4.16381i | −0.630204 | + | 0.528804i | ||||
\(63\) | −4.13149 | + | 23.4308i | −0.520519 | + | 2.95201i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 0.369309 | + | 0.639662i | 0.0458072 | + | 0.0793404i | ||||
\(66\) | 18.4784 | − | 6.72557i | 2.27453 | − | 0.827861i | ||||
\(67\) | −2.74854 | + | 1.00039i | −0.335787 | + | 0.122217i | −0.504410 | − | 0.863464i | \(-0.668290\pi\) |
0.168623 | + | 0.985681i | \(0.446068\pi\) | |||||||
\(68\) | −0.434067 | − | 0.751825i | −0.0526383 | − | 0.0911722i | ||||
\(69\) | 1.81794 | − | 3.14877i | 0.218855 | − | 0.379068i | ||||
\(70\) | 0.581045 | − | 3.29527i | 0.0694482 | − | 0.393860i | ||||
\(71\) | −5.27849 | + | 4.42918i | −0.626442 | + | 0.525647i | −0.899821 | − | 0.436259i | \(-0.856303\pi\) |
0.273379 | + | 0.961906i | \(0.411859\pi\) | |||||||
\(72\) | −5.44692 | − | 4.57051i | −0.641926 | − | 0.538640i | ||||
\(73\) | 1.35735 | + | 7.69790i | 0.158866 | + | 0.900972i | 0.955166 | + | 0.296070i | \(0.0956763\pi\) |
−0.796301 | + | 0.604901i | \(0.793213\pi\) | |||||||
\(74\) | 1.57975 | + | 0.574982i | 0.183642 | + | 0.0668403i | ||||
\(75\) | 3.17969 | 0.367159 | ||||||||
\(76\) | −4.24031 | + | 1.00983i | −0.486397 | + | 0.115835i | ||||
\(77\) | −20.6934 | −2.35823 | ||||||||
\(78\) | −2.20694 | − | 0.803262i | −0.249887 | − | 0.0909515i | ||||
\(79\) | −0.399207 | − | 2.26401i | −0.0449143 | − | 0.254721i | 0.954080 | − | 0.299551i | \(-0.0968368\pi\) |
−0.998995 | + | 0.0448292i | \(0.985726\pi\) | |||||||
\(80\) | 0.766044 | + | 0.642788i | 0.0856464 | + | 0.0718658i | ||||
\(81\) | 15.4949 | − | 13.0018i | 1.72165 | − | 1.44464i | ||||
\(82\) | −1.68282 | + | 9.54373i | −0.185836 | + | 1.05393i | ||||
\(83\) | 5.72338 | − | 9.91318i | 0.628223 | − | 1.08811i | −0.359686 | − | 0.933074i | \(-0.617116\pi\) |
0.987908 | − | 0.155040i | \(-0.0495506\pi\) | |||||||
\(84\) | 5.31979 | + | 9.21415i | 0.580437 | + | 1.00535i | ||||
\(85\) | −0.815778 | + | 0.296919i | −0.0884836 | + | 0.0322054i | ||||
\(86\) | 1.74623 | − | 0.635576i | 0.188301 | − | 0.0685359i | ||||
\(87\) | 12.3847 | + | 21.4510i | 1.32778 | + | 2.29978i | ||||
\(88\) | 3.09216 | − | 5.35578i | 0.329626 | − | 0.570928i | ||||
\(89\) | 0.404290 | − | 2.29284i | 0.0428546 | − | 0.243041i | −0.955854 | − | 0.293841i | \(-0.905066\pi\) |
0.998709 | + | 0.0508007i | \(0.0161773\pi\) | |||||||
\(90\) | −5.44692 | + | 4.57051i | −0.574156 | + | 0.481774i | ||||
\(91\) | 1.89328 | + | 1.58865i | 0.198469 | + | 0.166535i | ||||
\(92\) | −0.198562 | − | 1.12610i | −0.0207015 | − | 0.117404i | ||||
\(93\) | −19.3550 | − | 7.04466i | −2.00702 | − | 0.730497i | ||||
\(94\) | −0.331695 | −0.0342117 | ||||||||
\(95\) | 0.258165 | + | 4.35125i | 0.0264872 | + | 0.446429i | ||||
\(96\) | −3.17969 | −0.324526 | ||||||||
\(97\) | 6.43131 | + | 2.34081i | 0.653000 | + | 0.237673i | 0.647211 | − | 0.762311i | \(-0.275935\pi\) |
0.00578901 | + | 0.999983i | \(0.498157\pi\) | |||||||
\(98\) | −0.728700 | − | 4.13266i | −0.0736098 | − | 0.417462i | ||||
\(99\) | 33.6855 | + | 28.2655i | 3.38552 | + | 2.84079i | ||||
\(100\) | 0.766044 | − | 0.642788i | 0.0766044 | − | 0.0642788i | ||||
\(101\) | 1.76892 | − | 10.0321i | 0.176015 | − | 0.998228i | −0.760952 | − | 0.648809i | \(-0.775268\pi\) |
0.936966 | − | 0.349420i | \(-0.113621\pi\) | |||||||
\(102\) | 1.38020 | − | 2.39057i | 0.136660 | − | 0.236702i | ||||
\(103\) | −1.03525 | − | 1.79310i | −0.102006 | − | 0.176680i | 0.810505 | − | 0.585732i | \(-0.199193\pi\) |
−0.912511 | + | 0.409052i | \(0.865859\pi\) | |||||||
\(104\) | −0.694074 | + | 0.252622i | −0.0680596 | + | 0.0247717i | ||||
\(105\) | 9.99794 | − | 3.63895i | 0.975699 | − | 0.355125i | ||||
\(106\) | −3.55244 | − | 6.15300i | −0.345043 | − | 0.597632i | ||||
\(107\) | 7.31857 | − | 12.6761i | 0.707513 | − | 1.22545i | −0.258264 | − | 0.966075i | \(-0.583150\pi\) |
0.965777 | − | 0.259374i | \(-0.0835164\pi\) | |||||||
\(108\) | 2.26958 | − | 12.8714i | 0.218390 | − | 1.23855i | ||||
\(109\) | −6.66091 | + | 5.58917i | −0.637999 | + | 0.535345i | −0.903403 | − | 0.428792i | \(-0.858939\pi\) |
0.265404 | + | 0.964137i | \(0.414495\pi\) | |||||||
\(110\) | −4.73747 | − | 3.97521i | −0.451700 | − | 0.379021i | ||||
\(111\) | 0.928235 | + | 5.26428i | 0.0881041 | + | 0.499663i | ||||
\(112\) | 3.14431 | + | 1.14444i | 0.297109 | + | 0.108139i | ||||
\(113\) | 10.8308 | 1.01888 | 0.509439 | − | 0.860507i | \(-0.329853\pi\) | ||||
0.509439 | + | 0.860507i | \(0.329853\pi\) | |||||||
\(114\) | −9.52221 | − | 10.0711i | −0.891836 | − | 0.943240i | ||||
\(115\) | −1.14347 | −0.106629 | ||||||||
\(116\) | 7.32010 | + | 2.66430i | 0.679654 | + | 0.247374i | ||||
\(117\) | −0.911985 | − | 5.17212i | −0.0843130 | − | 0.478163i | ||||
\(118\) | −3.72320 | − | 3.12414i | −0.342749 | − | 0.287600i | ||||
\(119\) | −2.22526 | + | 1.86721i | −0.203989 | + | 0.171167i | ||||
\(120\) | −0.552148 | + | 3.13139i | −0.0504040 | + | 0.285855i | ||||
\(121\) | −13.6229 | + | 23.5956i | −1.23845 | + | 2.14506i | ||||
\(122\) | 3.61379 | + | 6.25926i | 0.327177 | + | 0.566687i | ||||
\(123\) | −28.9559 | + | 10.5391i | −2.61087 | + | 0.950279i | ||||
\(124\) | −6.08708 | + | 2.21552i | −0.546636 | + | 0.198959i | ||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | −11.8962 | + | 20.6047i | −1.05979 | + | 1.83562i | ||||
\(127\) | −1.94911 | + | 11.0540i | −0.172956 | + | 0.980880i | 0.767522 | + | 0.641023i | \(0.221490\pi\) |
−0.940477 | + | 0.339857i | \(0.889621\pi\) | |||||||
\(128\) | −0.766044 | + | 0.642788i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | 4.52642 | + | 3.79812i | 0.398529 | + | 0.334406i | ||||
\(130\) | 0.128260 | + | 0.727397i | 0.0112491 | + | 0.0637970i | ||||
\(131\) | −14.2703 | − | 5.19396i | −1.24680 | − | 0.453798i | −0.367481 | − | 0.930031i | \(-0.619780\pi\) |
−0.879319 | + | 0.476233i | \(0.842002\pi\) | |||||||
\(132\) | 19.6643 | 1.71155 | ||||||||
\(133\) | 5.79147 | + | 13.3862i | 0.502184 | + | 1.16073i | ||||
\(134\) | −2.92493 | −0.252676 | ||||||||
\(135\) | −12.2818 | − | 4.47019i | −1.05704 | − | 0.384733i | ||||
\(136\) | −0.150750 | − | 0.854944i | −0.0129267 | − | 0.0733109i | ||||
\(137\) | −6.54988 | − | 5.49600i | −0.559594 | − | 0.469555i | 0.318580 | − | 0.947896i | \(-0.396794\pi\) |
−0.878174 | + | 0.478341i | \(0.841238\pi\) | |||||||
\(138\) | 2.78525 | − | 2.33710i | 0.237096 | − | 0.198948i | ||||
\(139\) | 1.52883 | − | 8.67044i | 0.129674 | − | 0.735417i | −0.848748 | − | 0.528798i | \(-0.822643\pi\) |
0.978421 | − | 0.206619i | \(-0.0662460\pi\) | |||||||
\(140\) | 1.67305 | − | 2.89781i | 0.141399 | − | 0.244910i | ||||
\(141\) | −0.527344 | − | 0.913387i | −0.0444104 | − | 0.0769210i | ||||
\(142\) | −6.47503 | + | 2.35672i | −0.543372 | + | 0.197771i | ||||
\(143\) | 4.29238 | − | 1.56230i | 0.358947 | − | 0.130646i | ||||
\(144\) | −3.55522 | − | 6.15783i | −0.296269 | − | 0.513152i | ||||
\(145\) | 3.89494 | − | 6.74624i | 0.323457 | − | 0.560245i | ||||
\(146\) | −1.35735 | + | 7.69790i | −0.112335 | + | 0.637083i | ||||
\(147\) | 10.2216 | − | 8.57692i | 0.843061 | − | 0.707413i | ||||
\(148\) | 1.28782 | + | 1.08061i | 0.105858 | + | 0.0888258i | ||||
\(149\) | 0.132240 | + | 0.749969i | 0.0108335 | + | 0.0614398i | 0.989745 | − | 0.142844i | \(-0.0456246\pi\) |
−0.978912 | + | 0.204284i | \(0.934514\pi\) | |||||||
\(150\) | 2.98793 | + | 1.08752i | 0.243964 | + | 0.0887956i | ||||
\(151\) | −6.08784 | −0.495421 | −0.247711 | − | 0.968834i | \(-0.579678\pi\) | ||||
−0.247711 | + | 0.968834i | \(0.579678\pi\) | |||||||
\(152\) | −4.32997 | − | 0.501343i | −0.351207 | − | 0.0406643i | ||||
\(153\) | 6.17282 | 0.499043 | ||||||||
\(154\) | −19.4454 | − | 7.07756i | −1.56696 | − | 0.570326i | ||||
\(155\) | 1.12485 | + | 6.37932i | 0.0903499 | + | 0.512400i | ||||
\(156\) | −1.79912 | − | 1.50964i | −0.144045 | − | 0.120868i | ||||
\(157\) | 18.6728 | − | 15.6683i | 1.49025 | − | 1.25047i | 0.595933 | − | 0.803034i | \(-0.296782\pi\) |
0.894317 | − | 0.447434i | \(-0.147662\pi\) | |||||||
\(158\) | 0.399207 | − | 2.26401i | 0.0317592 | − | 0.180115i | ||||
\(159\) | 11.2957 | − | 19.5647i | 0.895804 | − | 1.55158i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | −3.59543 | + | 1.30863i | −0.283360 | + | 0.103134i | ||||
\(162\) | 19.0073 | − | 6.91809i | 1.49335 | − | 0.543536i | ||||
\(163\) | 2.15496 | + | 3.73250i | 0.168789 | + | 0.292352i | 0.937994 | − | 0.346650i | \(-0.112681\pi\) |
−0.769205 | + | 0.639002i | \(0.779348\pi\) | |||||||
\(164\) | −4.84548 | + | 8.39261i | −0.378368 | + | 0.655353i | ||||
\(165\) | 3.41466 | − | 19.3655i | 0.265831 | − | 1.50760i | ||||
\(166\) | 8.76873 | − | 7.35783i | 0.680585 | − | 0.571079i | ||||
\(167\) | 3.99229 | + | 3.34993i | 0.308933 | + | 0.259225i | 0.784051 | − | 0.620697i | \(-0.213150\pi\) |
−0.475118 | + | 0.879922i | \(0.657595\pi\) | |||||||
\(168\) | 1.84754 | + | 10.4779i | 0.142541 | + | 0.808391i | ||||
\(169\) | 11.7033 | + | 4.25967i | 0.900258 | + | 0.327667i | ||||
\(170\) | −0.868133 | −0.0665828 | ||||||||
\(171\) | 8.85690 | − | 29.7013i | 0.677304 | − | 2.27131i | ||||
\(172\) | 1.85830 | 0.141694 | ||||||||
\(173\) | −6.61144 | − | 2.40637i | −0.502658 | − | 0.182953i | 0.0782309 | − | 0.996935i | \(-0.475073\pi\) |
−0.580889 | + | 0.813983i | \(0.697295\pi\) | |||||||
\(174\) | 4.30117 | + | 24.3931i | 0.326071 | + | 1.84924i | ||||
\(175\) | −2.56327 | − | 2.15083i | −0.193765 | − | 0.162588i | ||||
\(176\) | 4.73747 | − | 3.97521i | 0.357100 | − | 0.299642i | ||||
\(177\) | 2.68360 | − | 15.2195i | 0.201712 | − | 1.14397i | ||||
\(178\) | 1.16411 | − | 2.01629i | 0.0872534 | − | 0.151127i | ||||
\(179\) | −1.59972 | − | 2.77080i | −0.119569 | − | 0.207099i | 0.800028 | − | 0.599963i | \(-0.204818\pi\) |
−0.919597 | + | 0.392863i | \(0.871485\pi\) | |||||||
\(180\) | −6.68164 | + | 2.43192i | −0.498020 | + | 0.181264i | ||||
\(181\) | 4.44963 | − | 1.61953i | 0.330738 | − | 0.120379i | −0.171313 | − | 0.985217i | \(-0.554801\pi\) |
0.502052 | + | 0.864838i | \(0.332579\pi\) | |||||||
\(182\) | 1.23575 | + | 2.14038i | 0.0915997 | + | 0.158655i | ||||
\(183\) | −11.4907 | + | 19.9025i | −0.849419 | + | 1.47124i | ||||
\(184\) | 0.198562 | − | 1.12610i | 0.0146382 | − | 0.0830172i | ||||
\(185\) | 1.28782 | − | 1.08061i | 0.0946826 | − | 0.0794482i | ||||
\(186\) | −15.7784 | − | 13.2396i | −1.15693 | − | 0.970777i | ||||
\(187\) | 0.932285 | + | 5.28725i | 0.0681754 | + | 0.386642i | ||||
\(188\) | −0.311691 | − | 0.113446i | −0.0227324 | − | 0.00827393i | ||||
\(189\) | −43.7335 | −3.18114 | ||||||||
\(190\) | −1.24562 | + | 4.17713i | −0.0903666 | + | 0.303041i | ||||
\(191\) | −18.4307 | −1.33360 | −0.666800 | − | 0.745237i | \(-0.732336\pi\) | ||||
−0.666800 | + | 0.745237i | \(0.732336\pi\) | |||||||
\(192\) | −2.98793 | − | 1.08752i | −0.215636 | − | 0.0784849i | ||||
\(193\) | −2.35285 | − | 13.3437i | −0.169362 | − | 0.960501i | −0.944452 | − | 0.328649i | \(-0.893407\pi\) |
0.775090 | − | 0.631851i | \(-0.217705\pi\) | |||||||
\(194\) | 5.24285 | + | 4.39927i | 0.376415 | + | 0.315849i | ||||
\(195\) | −1.79912 | + | 1.50964i | −0.128837 | + | 0.108107i | ||||
\(196\) | 0.728700 | − | 4.13266i | 0.0520500 | − | 0.295190i | ||||
\(197\) | −4.09550 | + | 7.09361i | −0.291792 | + | 0.505399i | −0.974234 | − | 0.225541i | \(-0.927585\pi\) |
0.682441 | + | 0.730940i | \(0.260918\pi\) | |||||||
\(198\) | 21.9867 | + | 38.0820i | 1.56252 | + | 2.70637i | ||||
\(199\) | −5.58408 | + | 2.03244i | −0.395845 | + | 0.144076i | −0.532270 | − | 0.846575i | \(-0.678661\pi\) |
0.136425 | + | 0.990650i | \(0.456439\pi\) | |||||||
\(200\) | 0.939693 | − | 0.342020i | 0.0664463 | − | 0.0241845i | ||||
\(201\) | −4.65019 | − | 8.05437i | −0.327999 | − | 0.568112i | ||||
\(202\) | 5.09342 | − | 8.82205i | 0.358371 | − | 0.620718i | ||||
\(203\) | 4.52627 | − | 25.6698i | 0.317682 | − | 1.80166i | ||||
\(204\) | 2.11459 | − | 1.77435i | 0.148051 | − | 0.124229i | ||||
\(205\) | 7.42370 | + | 6.22923i | 0.518494 | + | 0.435068i | ||||
\(206\) | −0.359538 | − | 2.03904i | −0.0250502 | − | 0.142067i | ||||
\(207\) | 7.64026 | + | 2.78083i | 0.531035 | + | 0.193281i | ||||
\(208\) | −0.738619 | −0.0512140 | ||||||||
\(209\) | 26.7779 | + | 3.10047i | 1.85227 | + | 0.214464i | ||||
\(210\) | 10.6396 | 0.734201 | ||||||||
\(211\) | 1.63846 | + | 0.596352i | 0.112796 | + | 0.0410545i | 0.397802 | − | 0.917471i | \(-0.369773\pi\) |
−0.285005 | + | 0.958526i | \(0.591995\pi\) | |||||||
\(212\) | −1.23375 | − | 6.99694i | −0.0847342 | − | 0.480552i | ||||
\(213\) | −16.7840 | − | 14.0834i | −1.15002 | − | 0.964981i | ||||
\(214\) | 11.2127 | − | 9.40858i | 0.766485 | − | 0.643157i | ||||
\(215\) | 0.322690 | − | 1.83007i | 0.0220073 | − | 0.124810i | ||||
\(216\) | 6.53498 | − | 11.3189i | 0.444649 | − | 0.770155i | ||||
\(217\) | 10.8376 | + | 18.7713i | 0.735703 | + | 1.27428i | ||||
\(218\) | −8.17082 | + | 2.97393i | −0.553397 | + | 0.201420i | ||||
\(219\) | −23.3557 | + | 8.50076i | −1.57823 | + | 0.574428i | ||||
\(220\) | −3.09216 | − | 5.35578i | −0.208474 | − | 0.361087i | ||||
\(221\) | 0.320610 | − | 0.555312i | 0.0215665 | − | 0.0373543i | ||||
\(222\) | −0.928235 | + | 5.26428i | −0.0622990 | + | 0.353315i | ||||
\(223\) | 20.2549 | − | 16.9959i | 1.35637 | − | 1.13813i | 0.379283 | − | 0.925281i | \(-0.376171\pi\) |
0.977085 | − | 0.212848i | \(-0.0682739\pi\) | |||||||
\(224\) | 2.56327 | + | 2.15083i | 0.171265 | + | 0.143709i | ||||
\(225\) | 1.23472 | + | 7.00242i | 0.0823144 | + | 0.466828i | ||||
\(226\) | 10.1777 | + | 3.70436i | 0.677007 | + | 0.246411i | ||||
\(227\) | −27.4472 | −1.82174 | −0.910869 | − | 0.412697i | \(-0.864587\pi\) | ||||
−0.910869 | + | 0.412697i | \(0.864587\pi\) | |||||||
\(228\) | −5.50345 | − | 12.7205i | −0.364475 | − | 0.842434i | ||||
\(229\) | −11.5722 | −0.764711 | −0.382355 | − | 0.924015i | \(-0.624887\pi\) | ||||
−0.382355 | + | 0.924015i | \(0.624887\pi\) | |||||||
\(230\) | −1.07451 | − | 0.391090i | −0.0708512 | − | 0.0257877i | ||||
\(231\) | −11.4258 | − | 64.7990i | −0.751764 | − | 4.26346i | ||||
\(232\) | 5.96740 | + | 5.00724i | 0.391779 | + | 0.328741i | ||||
\(233\) | 9.84970 | − | 8.26488i | 0.645275 | − | 0.541450i | −0.260358 | − | 0.965512i | \(-0.583841\pi\) |
0.905633 | + | 0.424062i | \(0.139396\pi\) | |||||||
\(234\) | 0.911985 | − | 5.17212i | 0.0596183 | − | 0.338112i | ||||
\(235\) | −0.165847 | + | 0.287256i | −0.0108187 | + | 0.0187385i | ||||
\(236\) | −2.43015 | − | 4.20914i | −0.158189 | − | 0.273992i | ||||
\(237\) | 6.86908 | − | 2.50014i | 0.446195 | − | 0.162402i | ||||
\(238\) | −2.72968 | + | 0.993522i | −0.176939 | + | 0.0644005i | ||||
\(239\) | 5.65708 | + | 9.79836i | 0.365926 | + | 0.633803i | 0.988924 | − | 0.148420i | \(-0.0474189\pi\) |
−0.622998 | + | 0.782223i | \(0.714086\pi\) | |||||||
\(240\) | −1.58985 | + | 2.75370i | −0.102624 | + | 0.177750i | ||||
\(241\) | −4.13196 | + | 23.4335i | −0.266163 | + | 1.50948i | 0.499541 | + | 0.866290i | \(0.333502\pi\) |
−0.765704 | + | 0.643193i | \(0.777609\pi\) | |||||||
\(242\) | −20.8715 | + | 17.5133i | −1.34167 | + | 1.12580i | ||||
\(243\) | 19.2325 | + | 16.1379i | 1.23376 | + | 1.03525i | ||||
\(244\) | 1.25506 | + | 7.11777i | 0.0803467 | + | 0.455669i | ||||
\(245\) | −3.94334 | − | 1.43526i | −0.251931 | − | 0.0916954i | ||||
\(246\) | −30.8143 | −1.96465 | ||||||||
\(247\) | −2.21194 | − | 2.33943i | −0.140742 | − | 0.148854i | ||||
\(248\) | −6.47773 | −0.411337 | ||||||||
\(249\) | 34.2022 | + | 12.4486i | 2.16747 | + | 0.788896i | ||||
\(250\) | −0.173648 | − | 0.984808i | −0.0109825 | − | 0.0622847i | ||||
\(251\) | 19.9736 | + | 16.7599i | 1.26072 | + | 1.05787i | 0.995604 | + | 0.0936578i | \(0.0298560\pi\) |
0.265120 | + | 0.964215i | \(0.414588\pi\) | |||||||
\(252\) | −18.2260 | + | 15.2934i | −1.14813 | + | 0.963394i | ||||
\(253\) | −1.22797 | + | 6.96417i | −0.0772018 | + | 0.437833i | ||||
\(254\) | −5.61224 | + | 9.72069i | −0.352143 | + | 0.609930i | ||||
\(255\) | −1.38020 | − | 2.39057i | −0.0864314 | − | 0.149704i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 9.54054 | − | 3.47247i | 0.595122 | − | 0.216607i | −0.0268585 | − | 0.999639i | \(-0.508550\pi\) |
0.621981 | + | 0.783032i | \(0.286328\pi\) | |||||||
\(258\) | 2.95441 | + | 5.11719i | 0.183934 | + | 0.318582i | ||||
\(259\) | 2.81263 | − | 4.87161i | 0.174768 | − | 0.302707i | ||||
\(260\) | −0.128260 | + | 0.727397i | −0.00795433 | + | 0.0451113i | ||||
\(261\) | −42.4309 | + | 35.6037i | −2.62641 | + | 2.20382i | ||||
\(262\) | −11.6332 | − | 9.76144i | −0.718704 | − | 0.603064i | ||||
\(263\) | 2.97399 | + | 16.8663i | 0.183384 | + | 1.04002i | 0.928014 | + | 0.372545i | \(0.121515\pi\) |
−0.744630 | + | 0.667477i | \(0.767374\pi\) | |||||||
\(264\) | 18.4784 | + | 6.72557i | 1.13726 | + | 0.413930i | ||||
\(265\) | −7.10488 | −0.436449 | ||||||||
\(266\) | 0.863848 | + | 14.5597i | 0.0529659 | + | 0.892714i | ||||
\(267\) | 7.40300 | 0.453056 | ||||||||
\(268\) | −2.74854 | − | 1.00039i | −0.167894 | − | 0.0611083i | ||||
\(269\) | 3.96080 | + | 22.4628i | 0.241495 | + | 1.36958i | 0.828495 | + | 0.559997i | \(0.189198\pi\) |
−0.587000 | + | 0.809587i | \(0.699691\pi\) | |||||||
\(270\) | −10.0122 | − | 8.40121i | −0.609322 | − | 0.511281i | ||||
\(271\) | 13.6282 | − | 11.4354i | 0.827852 | − | 0.694650i | −0.126945 | − | 0.991910i | \(-0.540517\pi\) |
0.954797 | + | 0.297260i | \(0.0960727\pi\) | |||||||
\(272\) | 0.150750 | − | 0.854944i | 0.00914054 | − | 0.0518386i | ||||
\(273\) | −3.92930 | + | 6.80574i | −0.237812 | + | 0.411902i | ||||
\(274\) | −4.27513 | − | 7.40475i | −0.258270 | − | 0.447337i | ||||
\(275\) | −5.81136 | + | 2.11516i | −0.350438 | + | 0.127549i | ||||
\(276\) | 3.41662 | − | 1.24355i | 0.205656 | − | 0.0748527i | ||||
\(277\) | 10.4365 | + | 18.0765i | 0.627066 | + | 1.08611i | 0.988137 | + | 0.153572i | \(0.0490777\pi\) |
−0.361071 | + | 0.932538i | \(0.617589\pi\) | |||||||
\(278\) | 4.40210 | − | 7.62466i | 0.264020 | − | 0.457296i | ||||
\(279\) | 7.99817 | − | 45.3598i | 0.478838 | − | 2.71562i | ||||
\(280\) | 2.56327 | − | 2.15083i | 0.153184 | − | 0.128537i | ||||
\(281\) | −20.8354 | − | 17.4830i | −1.24294 | − | 1.04295i | −0.997289 | − | 0.0735907i | \(-0.976554\pi\) |
−0.245650 | − | 0.969359i | \(-0.579001\pi\) | |||||||
\(282\) | −0.183145 | − | 1.03867i | −0.0109061 | − | 0.0618516i | ||||
\(283\) | 18.5060 | + | 6.73563i | 1.10007 | + | 0.400392i | 0.827341 | − | 0.561700i | \(-0.189852\pi\) |
0.272726 | + | 0.962092i | \(0.412075\pi\) | |||||||
\(284\) | −6.89058 | −0.408881 | ||||||||
\(285\) | −13.4829 | + | 3.21095i | −0.798658 | + | 0.190200i | ||||
\(286\) | 4.56786 | 0.270103 | ||||||||
\(287\) | 30.4714 | + | 11.0907i | 1.79867 | + | 0.654662i | ||||
\(288\) | −1.23472 | − | 7.00242i | −0.0727564 | − | 0.412622i | ||||
\(289\) | −12.4454 | − | 10.4429i | −0.732084 | − | 0.614291i | ||||
\(290\) | 5.96740 | − | 5.00724i | 0.350418 | − | 0.294035i | ||||
\(291\) | −3.77893 | + | 21.4314i | −0.221525 | + | 1.25633i | ||||
\(292\) | −3.90833 | + | 6.76942i | −0.228718 | + | 0.396151i | ||||
\(293\) | 7.38854 | + | 12.7973i | 0.431643 | + | 0.747628i | 0.997015 | − | 0.0772085i | \(-0.0246007\pi\) |
−0.565372 | + | 0.824836i | \(0.691267\pi\) | |||||||
\(294\) | 12.5386 | − | 4.56368i | 0.731267 | − | 0.266159i | ||||
\(295\) | −4.56719 | + | 1.66232i | −0.265912 | + | 0.0967840i | ||||
\(296\) | 0.840567 | + | 1.45590i | 0.0488570 | + | 0.0846227i | ||||
\(297\) | −40.4145 | + | 69.9999i | −2.34508 | + | 4.06181i | ||||
\(298\) | −0.132240 | + | 0.749969i | −0.00766044 | + | 0.0434445i | ||||
\(299\) | 0.646993 | − | 0.542892i | 0.0374166 | − | 0.0313962i | ||||
\(300\) | 2.43579 | + | 2.04387i | 0.140630 | + | 0.118003i | ||||
\(301\) | −1.07976 | − | 6.12360i | −0.0622361 | − | 0.352958i | ||||
\(302\) | −5.72070 | − | 2.08216i | −0.329189 | − | 0.119815i | ||||
\(303\) | 32.3910 | 1.86081 | ||||||||
\(304\) | −3.89737 | − | 1.95205i | −0.223530 | − | 0.111958i | ||||
\(305\) | 7.22757 | 0.413850 | ||||||||
\(306\) | 5.80055 | + | 2.11123i | 0.331595 | + | 0.120691i | ||||
\(307\) | −0.736086 | − | 4.17455i | −0.0420106 | − | 0.238254i | 0.956571 | − | 0.291500i | \(-0.0941544\pi\) |
−0.998581 | + | 0.0532459i | \(0.983043\pi\) | |||||||
\(308\) | −15.8521 | − | 13.3015i | −0.903255 | − | 0.757921i | ||||
\(309\) | 5.04328 | − | 4.23182i | 0.286902 | − | 0.240740i | ||||
\(310\) | −1.12485 | + | 6.37932i | −0.0638870 | + | 0.362321i | ||||
\(311\) | 3.49343 | − | 6.05079i | 0.198094 | − | 0.343109i | −0.749816 | − | 0.661646i | \(-0.769858\pi\) |
0.947910 | + | 0.318537i | \(0.103192\pi\) | |||||||
\(312\) | −1.17429 | − | 2.03393i | −0.0664811 | − | 0.115149i | ||||
\(313\) | 7.16016 | − | 2.60608i | 0.404716 | − | 0.147305i | −0.131638 | − | 0.991298i | \(-0.542024\pi\) |
0.536354 | + | 0.843993i | \(0.319801\pi\) | |||||||
\(314\) | 22.9056 | − | 8.33694i | 1.29264 | − | 0.470481i | ||||
\(315\) | 11.8962 | + | 20.6047i | 0.670272 | + | 1.16095i | ||||
\(316\) | 1.14947 | − | 1.99094i | 0.0646627 | − | 0.111999i | ||||
\(317\) | 2.38566 | − | 13.5297i | 0.133992 | − | 0.759905i | −0.841565 | − | 0.540156i | \(-0.818365\pi\) |
0.975557 | − | 0.219749i | \(-0.0705237\pi\) | |||||||
\(318\) | 17.3060 | − | 14.5214i | 0.970470 | − | 0.814321i | ||||
\(319\) | −36.9043 | − | 30.9664i | −2.06625 | − | 1.73379i | ||||
\(320\) | 0.173648 | + | 0.984808i | 0.00970723 | + | 0.0550524i | ||||
\(321\) | 43.7348 | + | 15.9182i | 2.44104 | + | 0.888466i | ||||
\(322\) | −3.82618 | −0.213224 | ||||||||
\(323\) | 3.15932 | − | 2.08283i | 0.175789 | − | 0.115892i | ||||
\(324\) | 20.2271 | 1.12373 | ||||||||
\(325\) | 0.694074 | + | 0.252622i | 0.0385003 | + | 0.0140130i | ||||
\(326\) | 0.748409 | + | 4.24444i | 0.0414506 | + | 0.235078i | ||||
\(327\) | −21.1796 | − | 17.7718i | −1.17124 | − | 0.982785i | ||||
\(328\) | −7.42370 | + | 6.22923i | −0.409905 | + | 0.343952i | ||||
\(329\) | −0.192730 | + | 1.09302i | −0.0106255 | + | 0.0602604i | ||||
\(330\) | 9.83213 | − | 17.0297i | 0.541241 | − | 0.937456i | ||||
\(331\) | 3.32212 | + | 5.75409i | 0.182600 | + | 0.316273i | 0.942765 | − | 0.333457i | \(-0.108215\pi\) |
−0.760165 | + | 0.649730i | \(0.774882\pi\) | |||||||
\(332\) | 10.7564 | − | 3.91502i | 0.590336 | − | 0.214865i | ||||
\(333\) | −11.2327 | + | 4.08838i | −0.615550 | + | 0.224042i | ||||
\(334\) | 2.60578 | + | 4.51335i | 0.142582 | + | 0.246959i | ||||
\(335\) | −1.46247 | + | 2.53307i | −0.0799031 | + | 0.138396i | ||||
\(336\) | −1.84754 | + | 10.4779i | −0.100792 | + | 0.571619i | ||||
\(337\) | −14.1012 | + | 11.8323i | −0.768139 | + | 0.644545i | −0.940232 | − | 0.340536i | \(-0.889392\pi\) |
0.172093 | + | 0.985081i | \(0.444947\pi\) | |||||||
\(338\) | 9.54066 | + | 8.00556i | 0.518943 | + | 0.435445i | ||||
\(339\) | 5.98022 | + | 33.9155i | 0.324801 | + | 1.84204i | ||||
\(340\) | −0.815778 | − | 0.296919i | −0.0442418 | − | 0.0161027i | ||||
\(341\) | 40.0604 | 2.16939 | ||||||||
\(342\) | 18.4812 | − | 24.8808i | 0.999349 | − | 1.34540i | ||||
\(343\) | 9.38108 | 0.506531 | ||||||||
\(344\) | 1.74623 | + | 0.635576i | 0.0941504 | + | 0.0342680i | ||||
\(345\) | −0.631365 | − | 3.58065i | −0.0339916 | − | 0.192776i | ||||
\(346\) | −5.38969 | − | 4.52249i | −0.289752 | − | 0.243131i | ||||
\(347\) | 5.68212 | − | 4.76787i | 0.305032 | − | 0.255952i | −0.477403 | − | 0.878684i | \(-0.658422\pi\) |
0.782435 | + | 0.622732i | \(0.213977\pi\) | |||||||
\(348\) | −4.30117 | + | 24.3931i | −0.230567 | + | 1.30761i | ||||
\(349\) | −9.57581 | + | 16.5858i | −0.512581 | + | 0.887817i | 0.487312 | + | 0.873228i | \(0.337977\pi\) |
−0.999894 | + | 0.0145891i | \(0.995356\pi\) | |||||||
\(350\) | −1.67305 | − | 2.89781i | −0.0894284 | − | 0.154895i | ||||
\(351\) | 9.07153 | − | 3.30177i | 0.484202 | − | 0.176235i | ||||
\(352\) | 5.81136 | − | 2.11516i | 0.309747 | − | 0.112739i | ||||
\(353\) | 0.801691 | + | 1.38857i | 0.0426697 | + | 0.0739061i | 0.886572 | − | 0.462592i | \(-0.153080\pi\) |
−0.843902 | + | 0.536498i | \(0.819747\pi\) | |||||||
\(354\) | 7.72713 | − | 13.3838i | 0.410692 | − | 0.711340i | ||||
\(355\) | −1.19654 | + | 6.78590i | −0.0635056 | + | 0.360158i | ||||
\(356\) | 1.78351 | − | 1.49655i | 0.0945261 | − | 0.0793168i | ||||
\(357\) | −7.07563 | − | 5.93716i | −0.374482 | − | 0.314228i | ||||
\(358\) | −0.555577 | − | 3.15084i | −0.0293632 | − | 0.166527i | ||||
\(359\) | 20.2961 | + | 7.38717i | 1.07119 | + | 0.389880i | 0.816620 | − | 0.577175i | \(-0.195845\pi\) |
0.254566 | + | 0.967055i | \(0.418067\pi\) | |||||||
\(360\) | −7.11045 | −0.374754 | ||||||||
\(361\) | −5.48872 | − | 18.1899i | −0.288880 | − | 0.957365i | ||||
\(362\) | 4.73520 | 0.248876 | ||||||||
\(363\) | −81.4089 | − | 29.6304i | −4.27286 | − | 1.55519i | ||||
\(364\) | 0.429171 | + | 2.43395i | 0.0224947 | + | 0.127574i | ||||
\(365\) | 5.98791 | + | 5.02445i | 0.313421 | + | 0.262992i | ||||
\(366\) | −17.6048 | + | 14.7722i | −0.920219 | + | 0.772155i | ||||
\(367\) | 3.42815 | − | 19.4420i | 0.178948 | − | 1.01486i | −0.754540 | − | 0.656255i | \(-0.772140\pi\) |
0.933488 | − | 0.358610i | \(-0.116749\pi\) | |||||||
\(368\) | 0.571736 | − | 0.990275i | 0.0298038 | − | 0.0516217i | ||||
\(369\) | −34.4535 | − | 59.6753i | −1.79358 | − | 3.10657i | ||||
\(370\) | 1.57975 | − | 0.574982i | 0.0821272 | − | 0.0298919i | ||||
\(371\) | −22.3399 | + | 8.13107i | −1.15983 | + | 0.422144i | ||||
\(372\) | −10.2986 | − | 17.8377i | −0.533958 | − | 0.924842i | ||||
\(373\) | 11.5800 | − | 20.0572i | 0.599592 | − | 1.03852i | −0.393289 | − | 0.919415i | \(-0.628663\pi\) |
0.992881 | − | 0.119109i | \(-0.0380037\pi\) | |||||||
\(374\) | −0.932285 | + | 5.28725i | −0.0482073 | + | 0.273397i | ||||
\(375\) | 2.43579 | − | 2.04387i | 0.125783 | − | 0.105545i | ||||
\(376\) | −0.254093 | − | 0.213209i | −0.0131039 | − | 0.0109954i | ||||
\(377\) | 0.999129 | + | 5.66634i | 0.0514578 | + | 0.291831i | ||||
\(378\) | −41.0960 | − | 14.9577i | −2.11375 | − | 0.769343i | ||||
\(379\) | −3.52957 | −0.181302 | −0.0906508 | − | 0.995883i | \(-0.528895\pi\) | ||||
−0.0906508 | + | 0.995883i | \(0.528895\pi\) | |||||||
\(380\) | −2.59916 | + | 3.49919i | −0.133334 | + | 0.179505i | ||||
\(381\) | −35.6904 | −1.82847 | ||||||||
\(382\) | −17.3192 | − | 6.30368i | −0.886128 | − | 0.322524i | ||||
\(383\) | 6.36973 | + | 36.1246i | 0.325478 | + | 1.84588i | 0.506293 | + | 0.862362i | \(0.331015\pi\) |
−0.180815 | + | 0.983517i | \(0.557873\pi\) | |||||||
\(384\) | −2.43579 | − | 2.04387i | −0.124301 | − | 0.104301i | ||||
\(385\) | −15.8521 | + | 13.3015i | −0.807896 | + | 0.677905i | ||||
\(386\) | 2.35285 | − | 13.3437i | 0.119757 | − | 0.679176i | ||||
\(387\) | −6.60667 | + | 11.4431i | −0.335836 | + | 0.581685i | ||||
\(388\) | 3.42203 | + | 5.92713i | 0.173727 | + | 0.300904i | ||||
\(389\) | 23.1021 | − | 8.40847i | 1.17132 | − | 0.426327i | 0.318193 | − | 0.948026i | \(-0.396924\pi\) |
0.853129 | + | 0.521699i | \(0.174702\pi\) | |||||||
\(390\) | −2.20694 | + | 0.803262i | −0.111753 | + | 0.0406747i | ||||
\(391\) | 0.496343 | + | 0.859691i | 0.0251011 | + | 0.0434764i | ||||
\(392\) | 2.09821 | − | 3.63420i | 0.105976 | − | 0.183555i | ||||
\(393\) | 8.38498 | − | 47.5536i | 0.422966 | − | 2.39876i | ||||
\(394\) | −6.27467 | + | 5.26507i | −0.316113 | + | 0.265251i | ||||
\(395\) | −1.76109 | − | 1.47773i | −0.0886101 | − | 0.0743527i | ||||
\(396\) | 7.63589 | + | 43.3053i | 0.383718 | + | 2.17617i | ||||
\(397\) | −19.1282 | − | 6.96208i | −0.960015 | − | 0.349417i | −0.185976 | − | 0.982554i | \(-0.559545\pi\) |
−0.774039 | + | 0.633137i | \(0.781767\pi\) | |||||||
\(398\) | −5.94246 | −0.297868 | ||||||||
\(399\) | −38.7197 | + | 25.5265i | −1.93841 | + | 1.27792i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | −18.9313 | − | 6.89045i | −0.945386 | − | 0.344092i | −0.177096 | − | 0.984194i | \(-0.556670\pi\) |
−0.768291 | + | 0.640101i | \(0.778892\pi\) | |||||||
\(402\) | −1.61500 | − | 9.15910i | −0.0805487 | − | 0.456814i | ||||
\(403\) | −3.66520 | − | 3.07547i | −0.182576 | − | 0.153200i | ||||
\(404\) | 7.80356 | − | 6.54797i | 0.388242 | − | 0.325774i | ||||
\(405\) | 3.51240 | − | 19.9198i | 0.174533 | − | 0.989825i | ||||
\(406\) | 13.0329 | − | 22.5736i | 0.646811 | − | 1.12031i | ||||
\(407\) | −5.19834 | − | 9.00379i | −0.257672 | − | 0.446301i | ||||
\(408\) | 2.59392 | − | 0.944111i | 0.128418 | − | 0.0467405i | ||||
\(409\) | −12.1073 | + | 4.40670i | −0.598668 | + | 0.217897i | −0.623537 | − | 0.781794i | \(-0.714305\pi\) |
0.0248698 | + | 0.999691i | \(0.492083\pi\) | |||||||
\(410\) | 4.84548 | + | 8.39261i | 0.239301 | + | 0.414482i | ||||
\(411\) | 13.5936 | − | 23.5448i | 0.670523 | − | 1.16138i | ||||
\(412\) | 0.359538 | − | 2.03904i | 0.0177132 | − | 0.100456i | ||||
\(413\) | −12.4582 | + | 10.4537i | −0.613030 | + | 0.514393i | ||||
\(414\) | 6.22840 | + | 5.22625i | 0.306109 | + | 0.256856i | ||||
\(415\) | −1.98771 | − | 11.2729i | −0.0975728 | − | 0.553363i | ||||
\(416\) | −0.694074 | − | 0.252622i | −0.0340298 | − | 0.0123858i | ||||
\(417\) | 27.9946 | 1.37090 | ||||||||
\(418\) | 24.1026 | + | 12.0721i | 1.17890 | + | 0.590465i | ||||
\(419\) | 20.0166 | 0.977876 | 0.488938 | − | 0.872319i | \(-0.337384\pi\) | ||||
0.488938 | + | 0.872319i | \(0.337384\pi\) | |||||||
\(420\) | 9.99794 | + | 3.63895i | 0.487850 | + | 0.177563i | ||||
\(421\) | 1.16311 | + | 6.59634i | 0.0566867 | + | 0.321486i | 0.999944 | − | 0.0105764i | \(-0.00336662\pi\) |
−0.943257 | + | 0.332062i | \(0.892256\pi\) | |||||||
\(422\) | 1.33569 | + | 1.12077i | 0.0650202 | + | 0.0545585i | ||||
\(423\) | 1.80672 | − | 1.51601i | 0.0878455 | − | 0.0737112i | ||||
\(424\) | 1.23375 | − | 6.99694i | 0.0599161 | − | 0.339801i | ||||
\(425\) | −0.434067 | + | 0.751825i | −0.0210553 | + | 0.0364689i | ||||
\(426\) | −10.9550 | − | 18.9746i | −0.530770 | − | 0.919321i | ||||
\(427\) | 22.7257 | − | 8.27149i | 1.09978 | − | 0.400285i | ||||
\(428\) | 13.7544 | − | 5.00620i | 0.664845 | − | 0.241984i | ||||
\(429\) | 7.26219 | + | 12.5785i | 0.350622 | + | 0.607295i | ||||
\(430\) | 0.929150 | − | 1.60933i | 0.0448076 | − | 0.0776090i | ||||
\(431\) | −4.86528 | + | 27.5924i | −0.234352 | + | 1.32908i | 0.609621 | + | 0.792693i | \(0.291321\pi\) |
−0.843974 | + | 0.536385i | \(0.819790\pi\) | |||||||
\(432\) | 10.0122 | − | 8.40121i | 0.481711 | − | 0.404203i | ||||
\(433\) | −17.3262 | − | 14.5384i | −0.832646 | − | 0.698673i | 0.123251 | − | 0.992376i | \(-0.460668\pi\) |
−0.955897 | + | 0.293702i | \(0.905113\pi\) | |||||||
\(434\) | 3.76386 | + | 21.3459i | 0.180671 | + | 1.02464i | ||||
\(435\) | 23.2757 | + | 8.47165i | 1.11598 | + | 0.406184i | ||||
\(436\) | −8.69520 | −0.416425 | ||||||||
\(437\) | 4.84868 | − | 1.15471i | 0.231944 | − | 0.0552373i | ||||
\(438\) | −24.8546 | −1.18760 | ||||||||
\(439\) | 3.88563 | + | 1.41425i | 0.185451 | + | 0.0674986i | 0.433076 | − | 0.901357i | \(-0.357428\pi\) |
−0.247626 | + | 0.968856i | \(0.579650\pi\) | |||||||
\(440\) | −1.07390 | − | 6.09037i | −0.0511960 | − | 0.290347i | ||||
\(441\) | 22.8575 | + | 19.1798i | 1.08845 | + | 0.913322i | ||||
\(442\) | 0.491202 | − | 0.412168i | 0.0233641 | − | 0.0196048i | ||||
\(443\) | −5.02534 | + | 28.5001i | −0.238761 | + | 1.35408i | 0.595786 | + | 0.803144i | \(0.296841\pi\) |
−0.834547 | + | 0.550937i | \(0.814270\pi\) | |||||||
\(444\) | −2.67274 | + | 4.62933i | −0.126843 | + | 0.219698i | ||||
\(445\) | −1.16411 | − | 2.01629i | −0.0551839 | − | 0.0955814i | ||||
\(446\) | 24.8463 | − | 9.04332i | 1.17651 | − | 0.428214i | ||||
\(447\) | −2.27543 | + | 0.828187i | −0.107624 | + | 0.0391719i | ||||
\(448\) | 1.67305 | + | 2.89781i | 0.0790443 | + | 0.136909i | ||||
\(449\) | 2.78070 | − | 4.81632i | 0.131229 | − | 0.227296i | −0.792921 | − | 0.609324i | \(-0.791441\pi\) |
0.924151 | + | 0.382028i | \(0.124774\pi\) | |||||||
\(450\) | −1.23472 | + | 7.00242i | −0.0582051 | + | 0.330097i | ||||
\(451\) | 45.9106 | − | 38.5236i | 2.16185 | − | 1.81400i | ||||
\(452\) | 8.29690 | + | 6.96192i | 0.390253 | + | 0.327461i | ||||
\(453\) | −3.36139 | − | 19.0634i | −0.157932 | − | 0.895676i | ||||
\(454\) | −25.7920 | − | 9.38751i | −1.21048 | − | 0.440578i | ||||
\(455\) | 2.47150 | 0.115865 | ||||||||
\(456\) | −0.820886 | − | 13.8356i | −0.0384415 | − | 0.647913i | ||||
\(457\) | −3.44090 | −0.160959 | −0.0804793 | − | 0.996756i | \(-0.525645\pi\) | ||||
−0.0804793 | + | 0.996756i | \(0.525645\pi\) | |||||||
\(458\) | −10.8743 | − | 3.95792i | −0.508122 | − | 0.184941i | ||||
\(459\) | 1.97029 | + | 11.1741i | 0.0919654 | + | 0.521562i | ||||
\(460\) | −0.875950 | − | 0.735009i | −0.0408414 | − | 0.0342700i | ||||
\(461\) | −3.88985 | + | 3.26397i | −0.181169 | + | 0.152018i | −0.728862 | − | 0.684661i | \(-0.759950\pi\) |
0.547693 | + | 0.836679i | \(0.315506\pi\) | |||||||
\(462\) | 11.4258 | − | 64.7990i | 0.531577 | − | 3.01472i | ||||
\(463\) | 2.56405 | − | 4.44107i | 0.119162 | − | 0.206394i | −0.800274 | − | 0.599634i | \(-0.795313\pi\) |
0.919436 | + | 0.393240i | \(0.128646\pi\) | |||||||
\(464\) | 3.89494 | + | 6.74624i | 0.180818 | + | 0.313186i | ||||
\(465\) | −19.3550 | + | 7.04466i | −0.897569 | + | 0.326688i | ||||
\(466\) | 12.0824 | − | 4.39765i | 0.559708 | − | 0.203717i | ||||
\(467\) | −14.8110 | − | 25.6535i | −0.685373 | − | 1.18710i | −0.973320 | − | 0.229454i | \(-0.926306\pi\) |
0.287947 | − | 0.957646i | \(-0.407027\pi\) | |||||||
\(468\) | 2.62595 | − | 4.54829i | 0.121385 | − | 0.210245i | ||||
\(469\) | −1.69952 | + | 9.63844i | −0.0784764 | + | 0.445062i | ||||
\(470\) | −0.254093 | + | 0.213209i | −0.0117204 | + | 0.00983462i | ||||
\(471\) | 59.3737 | + | 49.8205i | 2.73580 | + | 2.29561i | ||||
\(472\) | −0.843982 | − | 4.78646i | −0.0388474 | − | 0.220315i | ||||
\(473\) | −10.7993 | − | 3.93061i | −0.496550 | − | 0.180729i | ||||
\(474\) | 7.30992 | 0.335756 | ||||||||
\(475\) | 2.99469 | + | 3.16730i | 0.137406 | + | 0.145326i | ||||
\(476\) | −2.90486 | −0.133144 | ||||||||
\(477\) | 47.4722 | + | 17.2785i | 2.17360 | + | 0.791127i | ||||
\(478\) | 1.96468 | + | 11.1423i | 0.0898626 | + | 0.509636i | ||||
\(479\) | −28.8677 | − | 24.2229i | −1.31900 | − | 1.10677i | −0.986516 | − | 0.163664i | \(-0.947669\pi\) |
−0.332485 | − | 0.943109i | \(-0.607887\pi\) | |||||||
\(480\) | −2.43579 | + | 2.04387i | −0.111178 | + | 0.0932894i | ||||
\(481\) | −0.215622 | + | 1.22285i | −0.00983151 | + | 0.0557573i | ||||
\(482\) | −11.8975 | + | 20.6071i | −0.541916 | + | 0.938626i | ||||
\(483\) | −6.08303 | − | 10.5361i | −0.276788 | − | 0.479410i | ||||
\(484\) | −25.6027 | + | 9.31863i | −1.16376 | + | 0.423574i | ||||
\(485\) | 6.43131 | − | 2.34081i | 0.292031 | − | 0.106290i | ||||
\(486\) | 12.5531 | + | 21.7426i | 0.569420 | + | 0.986264i | ||||
\(487\) | 8.87714 | − | 15.3757i | 0.402262 | − | 0.696738i | −0.591737 | − | 0.806131i | \(-0.701558\pi\) |
0.993999 | + | 0.109393i | \(0.0348909\pi\) | |||||||
\(488\) | −1.25506 | + | 7.11777i | −0.0568137 | + | 0.322206i | ||||
\(489\) | −10.4980 | + | 8.80890i | −0.474738 | + | 0.398352i | ||||
\(490\) | −3.21464 | − | 2.69741i | −0.145223 | − | 0.121856i | ||||
\(491\) | −3.87201 | − | 21.9592i | −0.174741 | − | 0.991006i | −0.938442 | − | 0.345436i | \(-0.887731\pi\) |
0.763701 | − | 0.645570i | \(-0.223380\pi\) | |||||||
\(492\) | −28.9559 | − | 10.5391i | −1.30543 | − | 0.475139i | ||||
\(493\) | −6.76266 | −0.304575 | ||||||||
\(494\) | −1.27841 | − | 2.95487i | −0.0575183 | − | 0.132946i | ||||
\(495\) | 43.9733 | 1.97645 | ||||||||
\(496\) | −6.08708 | − | 2.21552i | −0.273318 | − | 0.0994796i | ||||
\(497\) | 4.00374 | + | 22.7063i | 0.179592 | + | 1.01852i | ||||
\(498\) | 27.8819 | + | 23.3957i | 1.24942 | + | 1.04838i | ||||
\(499\) | −14.4603 | + | 12.1337i | −0.647334 | + | 0.543177i | −0.906261 | − | 0.422719i | \(-0.861076\pi\) |
0.258927 | + | 0.965897i | \(0.416631\pi\) | |||||||
\(500\) | 0.173648 | − | 0.984808i | 0.00776578 | − | 0.0440419i | ||||
\(501\) | −8.28559 | + | 14.3511i | −0.370173 | + | 0.641158i | ||||
\(502\) | 13.0369 | + | 22.5805i | 0.581864 | + | 1.00782i | ||||
\(503\) | −38.3963 | + | 13.9751i | −1.71201 | + | 0.623119i | −0.997100 | − | 0.0761023i | \(-0.975752\pi\) |
−0.714905 | + | 0.699221i | \(0.753530\pi\) | |||||||
\(504\) | −22.3575 | + | 8.13745i | −0.995880 | + | 0.362471i | ||||
\(505\) | −5.09342 | − | 8.82205i | −0.226654 | − | 0.392576i | ||||
\(506\) | −3.53580 | + | 6.12418i | −0.157185 | + | 0.272253i | ||||
\(507\) | −6.87669 | + | 38.9997i | −0.305405 | + | 1.73204i | ||||
\(508\) | −8.59845 | + | 7.21496i | −0.381495 | + | 0.320112i | ||||
\(509\) | −10.1977 | − | 8.55692i | −0.452007 | − | 0.379279i | 0.388173 | − | 0.921586i | \(-0.373106\pi\) |
−0.840180 | + | 0.542308i | \(0.817551\pi\) | |||||||
\(510\) | −0.479338 | − | 2.71846i | −0.0212254 | − | 0.120375i | ||||
\(511\) | 24.5780 | + | 8.94566i | 1.08727 | + | 0.395733i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 56.5926 | + | 6.55254i | 2.49862 | + | 0.289302i | ||||
\(514\) | 10.1528 | 0.447822 | ||||||||
\(515\) | −1.94563 | − | 0.708151i | −0.0857347 | − | 0.0312049i | ||||
\(516\) | 1.02606 | + | 5.81905i | 0.0451696 | + | 0.256170i | ||||
\(517\) | 1.57139 | + | 1.31856i | 0.0691098 | + | 0.0579900i | ||||
\(518\) | 4.30919 | − | 3.61584i | 0.189335 | − | 0.158871i | ||||
\(519\) | 3.88477 | − | 22.0316i | 0.170523 | − | 0.967082i | ||||
\(520\) | −0.369309 | + | 0.639662i | −0.0161953 | + | 0.0280511i | ||||
\(521\) | 13.8343 | + | 23.9617i | 0.606091 | + | 1.04978i | 0.991878 | + | 0.127193i | \(0.0405968\pi\) |
−0.385787 | + | 0.922588i | \(0.626070\pi\) | |||||||
\(522\) | −52.0492 | + | 18.9443i | −2.27813 | + | 0.829172i | ||||
\(523\) | 1.00974 | − | 0.367514i | 0.0441527 | − | 0.0160703i | −0.319849 | − | 0.947468i | \(-0.603632\pi\) |
0.364002 | + | 0.931398i | \(0.381410\pi\) | |||||||
\(524\) | −7.59305 | − | 13.1516i | −0.331704 | − | 0.574528i | ||||
\(525\) | 5.31979 | − | 9.21415i | 0.232175 | − | 0.402139i | ||||
\(526\) | −2.97399 | + | 16.8663i | −0.129672 | + | 0.735407i | ||||
\(527\) | 4.30788 | − | 3.61474i | 0.187654 | − | 0.157460i | ||||
\(528\) | 15.0637 | + | 12.6399i | 0.655563 | + | 0.550083i | ||||
\(529\) | −3.76686 | − | 21.3629i | −0.163776 | − | 0.928822i | ||||
\(530\) | −6.67640 | − | 2.43001i | −0.290004 | − | 0.105553i | ||||
\(531\) | 34.5589 | 1.49973 | ||||||||
\(532\) | −4.16797 | + | 13.9771i | −0.180704 | + | 0.605985i | ||||
\(533\) | −7.15792 | −0.310044 | ||||||||
\(534\) | 6.95655 | + | 2.53198i | 0.301039 | + | 0.109569i | ||||
\(535\) | −2.54171 | − | 14.4148i | −0.109888 | − | 0.623205i | ||||
\(536\) | −2.24063 | − | 1.88011i | −0.0967804 | − | 0.0812084i | ||||
\(537\) | 7.79316 | − | 6.53924i | 0.336300 | − | 0.282189i | ||||
\(538\) | −3.96080 | + | 22.4628i | −0.170762 | + | 0.968442i | ||||
\(539\) | −12.9760 | + | 22.4751i | −0.558916 | + | 0.968071i | ||||
\(540\) | −6.53498 | − | 11.3189i | −0.281221 | − | 0.487089i | ||||
\(541\) | −14.5180 | + | 5.28411i | −0.624177 | + | 0.227182i | −0.634695 | − | 0.772763i | \(-0.718874\pi\) |
0.0105181 | + | 0.999945i | \(0.496652\pi\) | |||||||
\(542\) | 16.7174 | − | 6.08464i | 0.718074 | − | 0.261358i | ||||
\(543\) | 7.52824 | + | 13.0393i | 0.323068 | + | 0.559569i | ||||
\(544\) | 0.434067 | − | 0.751825i | 0.0186104 | − | 0.0322342i | ||||
\(545\) | −1.50991 | + | 8.56310i | −0.0646772 | + | 0.366803i | ||||
\(546\) | −6.02003 | + | 5.05141i | −0.257634 | + | 0.216180i | ||||
\(547\) | −25.7407 | − | 21.5990i | −1.10059 | − | 0.923508i | −0.103129 | − | 0.994668i | \(-0.532885\pi\) |
−0.997465 | + | 0.0711601i | \(0.977330\pi\) | |||||||
\(548\) | −1.48474 | − | 8.42037i | −0.0634248 | − | 0.359700i | ||||
\(549\) | −48.2920 | − | 17.5769i | −2.06105 | − | 0.750162i | ||||
\(550\) | −6.18432 | −0.263700 | ||||||||
\(551\) | −9.70322 | + | 32.5394i | −0.413371 | + | 1.38622i | ||||
\(552\) | 3.63589 | 0.154754 | ||||||||
\(553\) | −7.22858 | − | 2.63099i | −0.307391 | − | 0.111881i | ||||
\(554\) | 3.62454 | + | 20.5558i | 0.153992 | + | 0.873333i | ||||
\(555\) | 4.09488 | + | 3.43601i | 0.173818 | + | 0.145851i | ||||
\(556\) | 6.74440 | − | 5.65923i | 0.286026 | − | 0.240005i | ||||
\(557\) | −2.47429 | + | 14.0324i | −0.104839 | + | 0.594571i | 0.886446 | + | 0.462833i | \(0.153167\pi\) |
−0.991285 | + | 0.131739i | \(0.957944\pi\) | |||||||
\(558\) | 23.0298 | − | 39.8888i | 0.974929 | − | 1.68863i | ||||
\(559\) | 0.686287 | + | 1.18868i | 0.0290269 | + | 0.0502760i | ||||
\(560\) | 3.14431 | − | 1.14444i | 0.132871 | − | 0.0483612i | ||||
\(561\) | −16.0417 | + | 5.83869i | −0.677280 | + | 0.246510i | ||||
\(562\) | −13.5994 | − | 23.5548i | −0.573655 | − | 0.993599i | ||||
\(563\) | −7.38607 | + | 12.7930i | −0.311286 | + | 0.539163i | −0.978641 | − | 0.205577i | \(-0.934093\pi\) |
0.667355 | + | 0.744740i | \(0.267426\pi\) | |||||||
\(564\) | 0.183145 | − | 1.03867i | 0.00771178 | − | 0.0437357i | ||||
\(565\) | 8.29690 | − | 6.96192i | 0.349053 | − | 0.292890i | ||||
\(566\) | 15.0862 | + | 12.6588i | 0.634122 | + | 0.532091i | ||||
\(567\) | −11.7529 | − | 66.6539i | −0.493574 | − | 2.79920i | ||||
\(568\) | −6.47503 | − | 2.35672i | −0.271686 | − | 0.0988857i | ||||
\(569\) | 19.4550 | 0.815598 | 0.407799 | − | 0.913072i | \(-0.366296\pi\) | ||||
0.407799 | + | 0.913072i | \(0.366296\pi\) | |||||||
\(570\) | −13.7680 | − | 1.59412i | −0.576677 | − | 0.0667702i | ||||
\(571\) | −39.3956 | −1.64866 | −0.824328 | − | 0.566112i | \(-0.808447\pi\) | ||||
−0.824328 | + | 0.566112i | \(0.808447\pi\) | |||||||
\(572\) | 4.29238 | + | 1.56230i | 0.179473 | + | 0.0653230i | ||||
\(573\) | −10.1765 | − | 57.7137i | −0.425129 | − | 2.41102i | ||||
\(574\) | 24.8405 | + | 20.8436i | 1.03682 | + | 0.869997i | ||||
\(575\) | −0.875950 | + | 0.735009i | −0.0365296 | + | 0.0306520i | ||||
\(576\) | 1.23472 | − | 7.00242i | 0.0514465 | − | 0.291768i | ||||
\(577\) | 7.94763 | − | 13.7657i | 0.330864 | − | 0.573073i | −0.651818 | − | 0.758376i | \(-0.725993\pi\) |
0.982682 | + | 0.185303i | \(0.0593265\pi\) | |||||||
\(578\) | −8.12317 | − | 14.0697i | −0.337879 | − | 0.585224i | ||||
\(579\) | 40.4852 | − | 14.7354i | 1.68251 | − | 0.612382i | ||||
\(580\) | 7.32010 | − | 2.66430i | 0.303950 | − | 0.110629i | ||||
\(581\) | −19.1510 | − | 33.1706i | −0.794519 | − | 1.37615i | ||||
\(582\) | −10.8810 | + | 18.8464i | −0.451032 | + | 0.781210i | ||||
\(583\) | −7.62990 | + | 43.2713i | −0.315998 | + | 1.79212i | ||||
\(584\) | −5.98791 | + | 5.02445i | −0.247781 | + | 0.207913i | ||||
\(585\) | −4.02320 | − | 3.37586i | −0.166339 | − | 0.139575i | ||||
\(586\) | 2.56601 | + | 14.5526i | 0.106001 | + | 0.601161i | ||||
\(587\) | 12.0891 | + | 4.40009i | 0.498973 | + | 0.181611i | 0.579232 | − | 0.815163i | \(-0.303353\pi\) |
−0.0802592 | + | 0.996774i | \(0.525575\pi\) | |||||||
\(588\) | 13.3433 | 0.550269 | ||||||||
\(589\) | −11.2117 | − | 25.9144i | −0.461971 | − | 1.06778i | ||||
\(590\) | −4.86030 | −0.200095 | ||||||||
\(591\) | −24.4742 | − | 8.90787i | −1.00673 | − | 0.366421i | ||||
\(592\) | 0.291926 | + | 1.65559i | 0.0119981 | + | 0.0680445i | ||||
\(593\) | 1.66829 | + | 1.39986i | 0.0685086 | + | 0.0574855i | 0.676399 | − | 0.736535i | \(-0.263540\pi\) |
−0.607890 | + | 0.794021i | \(0.707984\pi\) | |||||||
\(594\) | −61.9185 | + | 51.9558i | −2.54055 | + | 2.13177i | ||||
\(595\) | −0.504424 | + | 2.86073i | −0.0206794 | + | 0.117279i | ||||
\(596\) | −0.380769 | + | 0.659512i | −0.0155969 | + | 0.0270146i | ||||
\(597\) | −9.44759 | − | 16.3637i | −0.386664 | − | 0.669722i | ||||
\(598\) | 0.793654 | − | 0.288867i | 0.0324549 | − | 0.0118126i | ||||
\(599\) | −3.32108 | + | 1.20877i | −0.135696 | + | 0.0493891i | −0.408975 | − | 0.912545i | \(-0.634114\pi\) |
0.273280 | + | 0.961935i | \(0.411892\pi\) | |||||||
\(600\) | 1.58985 | + | 2.75370i | 0.0649052 | + | 0.112419i | ||||
\(601\) | −11.2019 | + | 19.4022i | −0.456935 | + | 0.791434i | −0.998797 | − | 0.0490333i | \(-0.984386\pi\) |
0.541863 | + | 0.840467i | \(0.317719\pi\) | |||||||
\(602\) | 1.07976 | − | 6.12360i | 0.0440076 | − | 0.249579i | ||||
\(603\) | 15.9319 | − | 13.3684i | 0.648796 | − | 0.544405i | ||||
\(604\) | −4.66356 | − | 3.91319i | −0.189757 | − | 0.159225i | ||||
\(605\) | 4.73119 | + | 26.8319i | 0.192350 | + | 1.09087i | ||||
\(606\) | 30.4376 | + | 11.0784i | 1.23644 | + | 0.450028i | ||||
\(607\) | −12.5717 | −0.510269 | −0.255134 | − | 0.966906i | \(-0.582120\pi\) | ||||
−0.255134 | + | 0.966906i | \(0.582120\pi\) | |||||||
\(608\) | −2.99469 | − | 3.16730i | −0.121451 | − | 0.128451i | ||||
\(609\) | 82.8812 | 3.35851 | ||||||||
\(610\) | 6.79170 | + | 2.47198i | 0.274988 | + | 0.100087i | ||||
\(611\) | −0.0425431 | − | 0.241274i | −0.00172111 | − | 0.00976090i | ||||
\(612\) | 4.72865 | + | 3.96781i | 0.191144 | + | 0.160389i | ||||
\(613\) | −35.9199 | + | 30.1404i | −1.45079 | + | 1.21736i | −0.518791 | + | 0.854901i | \(0.673618\pi\) |
−0.932000 | + | 0.362458i | \(0.881938\pi\) | |||||||
\(614\) | 0.736086 | − | 4.17455i | 0.0297060 | − | 0.168471i | ||||
\(615\) | −15.4071 | + | 26.6859i | −0.621276 | + | 1.07608i | ||||
\(616\) | −10.3467 | − | 17.9210i | −0.416880 | − | 0.722058i | ||||
\(617\) | −0.496525 | + | 0.180720i | −0.0199893 | + | 0.00727553i | −0.351995 | − | 0.936002i | \(-0.614497\pi\) |
0.332006 | + | 0.943277i | \(0.392275\pi\) | |||||||
\(618\) | 6.18650 | − | 2.25170i | 0.248858 | − | 0.0905768i | ||||
\(619\) | −10.9317 | − | 18.9343i | −0.439383 | − | 0.761034i | 0.558259 | − | 0.829667i | \(-0.311470\pi\) |
−0.997642 | + | 0.0686330i | \(0.978136\pi\) | |||||||
\(620\) | −3.23887 | + | 5.60988i | −0.130076 | + | 0.225298i | ||||
\(621\) | −2.59520 | + | 14.7181i | −0.104142 | + | 0.590616i | ||||
\(622\) | 5.35224 | − | 4.49106i | 0.214605 | − | 0.180075i | ||||
\(623\) | −5.96783 | − | 5.00760i | −0.239096 | − | 0.200625i | ||||
\(624\) | −0.407827 | − | 2.31290i | −0.0163261 | − | 0.0925901i | ||||
\(625\) | −0.939693 | − | 0.342020i | −0.0375877 | − | 0.0136808i | ||||
\(626\) | 7.61968 | 0.304544 | ||||||||
\(627\) | 5.07663 | + | 85.5640i | 0.202741 | + | 3.41710i | ||||
\(628\) | 24.3756 | 0.972692 | ||||||||
\(629\) | −1.37143 | − | 0.499161i | −0.0546826 | − | 0.0199028i | ||||
\(630\) | 4.13149 | + | 23.4308i | 0.164603 | + | 0.933507i | ||||
\(631\) | 23.0776 | + | 19.3644i | 0.918705 | + | 0.770885i | 0.973755 | − | 0.227598i | \(-0.0730873\pi\) |
−0.0550497 | + | 0.998484i | \(0.517532\pi\) | |||||||
\(632\) | 1.76109 | − | 1.47773i | 0.0700524 | − | 0.0587810i | ||||
\(633\) | −0.962734 | + | 5.45993i | −0.0382652 | + | 0.217013i | ||||
\(634\) | 6.86922 | − | 11.8978i | 0.272812 | − | 0.472524i | ||||
\(635\) | 5.61224 | + | 9.72069i | 0.222715 | + | 0.385754i | ||||
\(636\) | 21.2289 | − | 7.72669i | 0.841781 | − | 0.306383i | ||||
\(637\) | 2.91263 | − | 1.06011i | 0.115402 | − | 0.0420031i | ||||
\(638\) | −24.0876 | − | 41.7209i | −0.953637 | − | 1.65175i | ||||
\(639\) | 24.4976 | − | 42.4310i | 0.969109 | − | 1.67855i | ||||
\(640\) | −0.173648 | + | 0.984808i | −0.00686405 | + | 0.0389279i | ||||
\(641\) | 24.6653 | − | 20.6967i | 0.974223 | − | 0.817470i | −0.00898505 | − | 0.999960i | \(-0.502860\pi\) |
0.983208 | + | 0.182490i | \(0.0584156\pi\) | |||||||
\(642\) | 35.6530 | + | 29.9164i | 1.40711 | + | 1.18071i | ||||
\(643\) | −4.44391 | − | 25.2027i | −0.175251 | − | 0.993896i | −0.937854 | − | 0.347030i | \(-0.887190\pi\) |
0.762604 | − | 0.646866i | \(-0.223921\pi\) | |||||||
\(644\) | −3.59543 | − | 1.30863i | −0.141680 | − | 0.0515672i | ||||
\(645\) | 5.90882 | 0.232660 | ||||||||
\(646\) | 3.68115 | − | 0.876666i | 0.144833 | − | 0.0344920i | ||||
\(647\) | −18.8860 | −0.742483 | −0.371242 | − | 0.928536i | \(-0.621068\pi\) | ||||
−0.371242 | + | 0.928536i | \(0.621068\pi\) | |||||||
\(648\) | 19.0073 | + | 6.91809i | 0.746677 | + | 0.271768i | ||||
\(649\) | 5.21946 | + | 29.6010i | 0.204882 | + | 1.16194i | ||||
\(650\) | 0.565815 | + | 0.474775i | 0.0221931 | + | 0.0186222i | ||||
\(651\) | −52.7961 | + | 44.3012i | −2.06924 | + | 1.73630i | ||||
\(652\) | −0.748409 | + | 4.24444i | −0.0293100 | + | 0.166225i | ||||
\(653\) | −12.4152 | + | 21.5038i | −0.485846 | + | 0.841510i | −0.999868 | − | 0.0162674i | \(-0.994822\pi\) |
0.514022 | + | 0.857777i | \(0.328155\pi\) | |||||||
\(654\) | −13.8240 | − | 23.9439i | −0.540562 | − | 0.936282i | ||||
\(655\) | −14.2703 | + | 5.19396i | −0.557586 | + | 0.202945i | ||||
\(656\) | −9.10652 | + | 3.31450i | −0.355550 | + | 0.129410i | ||||
\(657\) | −27.7900 | − | 48.1336i | −1.08419 | − | 1.87787i | ||||
\(658\) | −0.554943 | + | 0.961190i | −0.0216339 | + | 0.0374711i | ||||
\(659\) | 5.44946 | − | 30.9054i | 0.212281 | − | 1.20391i | −0.673282 | − | 0.739386i | \(-0.735116\pi\) |
0.885563 | − | 0.464519i | \(-0.153773\pi\) | |||||||
\(660\) | 15.0637 | − | 12.6399i | 0.586353 | − | 0.492009i | ||||
\(661\) | −14.2738 | − | 11.9771i | −0.555186 | − | 0.465857i | 0.321506 | − | 0.946907i | \(-0.395811\pi\) |
−0.876693 | + | 0.481051i | \(0.840255\pi\) | |||||||
\(662\) | 1.15376 | + | 6.54331i | 0.0448422 | + | 0.254313i | ||||
\(663\) | 1.91592 | + | 0.697338i | 0.0744082 | + | 0.0270824i | ||||
\(664\) | 11.4468 | 0.444220 | ||||||||
\(665\) | 13.0410 | + | 6.53175i | 0.505709 | + | 0.253290i | ||||
\(666\) | −11.9536 | −0.463193 | ||||||||
\(667\) | −8.37032 | − | 3.04655i | −0.324100 | − | 0.117963i | ||||
\(668\) | 0.904979 | + | 5.13239i | 0.0350147 | + | 0.198578i | ||||
\(669\) | 64.4044 | + | 54.0417i | 2.49002 | + | 2.08937i | ||||
\(670\) | −2.24063 | + | 1.88011i | −0.0865630 | + | 0.0726350i | ||||
\(671\) | 7.76167 | − | 44.0186i | 0.299636 | − | 1.69932i | ||||
\(672\) | −5.31979 | + | 9.21415i | −0.205215 | + | 0.355444i | ||||
\(673\) | 7.28810 | + | 12.6234i | 0.280935 | + | 0.486594i | 0.971615 | − | 0.236566i | \(-0.0760220\pi\) |
−0.690680 | + | 0.723161i | \(0.742689\pi\) | |||||||
\(674\) | −17.2976 | + | 6.29582i | −0.666280 | + | 0.242506i | ||||
\(675\) | −12.2818 | + | 4.47019i | −0.472725 | + | 0.172058i | ||||
\(676\) | 6.22722 | + | 10.7859i | 0.239509 | + | 0.414841i | ||||
\(677\) | −1.21821 | + | 2.11001i | −0.0468197 | + | 0.0810941i | −0.888486 | − | 0.458905i | \(-0.848242\pi\) |
0.841666 | + | 0.539999i | \(0.181575\pi\) | |||||||
\(678\) | −5.98022 | + | 33.9155i | −0.229669 | + | 1.30252i | ||||
\(679\) | 17.5431 | − | 14.7204i | 0.673244 | − | 0.564918i | ||||
\(680\) | −0.665029 | − | 0.558025i | −0.0255027 | − | 0.0213993i | ||||
\(681\) | −15.1549 | − | 85.9479i | −0.580738 | − | 3.29353i | ||||
\(682\) | 37.6445 | + | 13.7015i | 1.44148 | + | 0.524656i | ||||
\(683\) | 15.0962 | 0.577639 | 0.288820 | − | 0.957384i | \(-0.406737\pi\) | ||||
0.288820 | + | 0.957384i | \(0.406737\pi\) | |||||||
\(684\) | 25.8764 | − | 17.0594i | 0.989409 | − | 0.652282i | ||||
\(685\) | −8.55026 | −0.326689 | ||||||||
\(686\) | 8.81533 | + | 3.20852i | 0.336571 | + | 0.122502i | ||||
\(687\) | −6.38955 | − | 36.2370i | −0.243777 | − | 1.38253i | ||||
\(688\) | 1.42354 | + | 1.19449i | 0.0542720 | + | 0.0455396i | ||||
\(689\) | 4.02004 | − | 3.37322i | 0.153151 | − | 0.128509i | ||||
\(690\) | 0.631365 | − | 3.58065i | 0.0240357 | − | 0.136313i | ||||
\(691\) | 6.12019 | − | 10.6005i | 0.232823 | − | 0.403261i | −0.725815 | − | 0.687890i | \(-0.758537\pi\) |
0.958638 | + | 0.284629i | \(0.0918704\pi\) | |||||||
\(692\) | −3.51787 | − | 6.09314i | −0.133729 | − | 0.231626i | ||||
\(693\) | 138.266 | − | 50.3246i | 5.25228 | − | 1.91167i | ||||
\(694\) | 6.97015 | − | 2.53693i | 0.264583 | − | 0.0963005i | ||||
\(695\) | −4.40210 | − | 7.62466i | −0.166981 | − | 0.289220i | ||||
\(696\) | −12.3847 | + | 21.4510i | −0.469442 | + | 0.813097i | ||||
\(697\) | 1.46091 | − | 8.28523i | 0.0553359 | − | 0.313825i | ||||
\(698\) | −14.6710 | + | 12.3104i | −0.555305 | + | 0.465956i | ||||
\(699\) | 31.3190 | + | 26.2798i | 1.18459 | + | 0.993992i | ||||
\(700\) | −0.581045 | − | 3.29527i | −0.0219614 | − | 0.124549i | ||||
\(701\) | −41.9967 | − | 15.2856i | −1.58620 | − | 0.577328i | −0.609656 | − | 0.792666i | \(-0.708692\pi\) |
−0.976539 | + | 0.215339i | \(0.930914\pi\) | |||||||
\(702\) | 9.65372 | 0.364356 | ||||||||
\(703\) | −4.36954 | + | 5.88261i | −0.164800 | + | 0.221867i | ||||
\(704\) | 6.18432 | 0.233080 | ||||||||
\(705\) | −0.991083 | − | 0.360725i | −0.0373263 | − | 0.0135857i | ||||
\(706\) | 0.278424 | + | 1.57902i | 0.0104786 | + | 0.0594273i | ||||
\(707\) | −26.1115 | − | 21.9102i | −0.982026 | − | 0.824017i | ||||
\(708\) | 11.8386 | − | 9.93381i | 0.444924 | − | 0.373335i | ||||
\(709\) | −2.78707 | + | 15.8063i | −0.104671 | + | 0.593617i | 0.886681 | + | 0.462382i | \(0.153005\pi\) |
−0.991351 | + | 0.131235i | \(0.958106\pi\) | |||||||
\(710\) | −3.44529 | + | 5.96742i | −0.129299 | + | 0.223953i | ||||
\(711\) | 8.17325 | + | 14.1565i | 0.306521 | + | 0.530910i | ||||
\(712\) | 2.18780 | − | 0.796295i | 0.0819914 | − | 0.0298424i | ||||
\(713\) | 6.96040 | − | 2.53338i | 0.260669 | − | 0.0948758i | ||||
\(714\) | −4.61829 | − | 7.99911i | −0.172835 | − | 0.299359i | ||||
\(715\) | 2.28393 | − | 3.95588i | 0.0854141 | − | 0.147942i | ||||
\(716\) | 0.555577 | − | 3.15084i | 0.0207629 | − | 0.117752i | ||||
\(717\) | −27.5589 | + | 23.1247i | −1.02921 | + | 0.863606i | ||||
\(718\) | 16.5455 | + | 13.8833i | 0.617474 | + | 0.518122i | ||||
\(719\) | −0.265213 | − | 1.50410i | −0.00989079 | − | 0.0560934i | 0.979463 | − | 0.201624i | \(-0.0646221\pi\) |
−0.989354 | + | 0.145531i | \(0.953511\pi\) | |||||||
\(720\) | −6.68164 | − | 2.43192i | −0.249010 | − | 0.0906322i | ||||
\(721\) | −6.92809 | −0.258016 | ||||||||
\(722\) | 1.06362 | − | 18.9702i | 0.0395838 | − | 0.705998i | ||||
\(723\) | −75.6608 | −2.81385 | ||||||||
\(724\) | 4.44963 | + | 1.61953i | 0.165369 | + | 0.0601894i | ||||
\(725\) | −1.35270 | − | 7.67154i | −0.0502380 | − | 0.284914i | ||||
\(726\) | −66.3651 | − | 55.6869i | −2.46304 | − | 2.06674i | ||||
\(727\) | −29.0850 | + | 24.4052i | −1.07870 | + | 0.905139i | −0.995812 | − | 0.0914199i | \(-0.970859\pi\) |
−0.0828900 | + | 0.996559i | \(0.526415\pi\) | |||||||
\(728\) | −0.429171 | + | 2.43395i | −0.0159061 | + | 0.0902081i | ||||
\(729\) | −9.57428 | + | 16.5831i | −0.354603 | + | 0.614190i | ||||
\(730\) | 3.90833 | + | 6.76942i | 0.144654 | + | 0.250548i | ||||
\(731\) | −1.51596 | + | 0.551764i | −0.0560698 | + | 0.0204077i | ||||
\(732\) | −21.5955 | + | 7.86012i | −0.798193 | + | 0.290519i | ||||
\(733\) | 16.0110 | + | 27.7319i | 0.591381 | + | 1.02430i | 0.994047 | + | 0.108955i | \(0.0347504\pi\) |
−0.402666 | + | 0.915347i | \(0.631916\pi\) | |||||||
\(734\) | 9.87097 | − | 17.0970i | 0.364344 | − | 0.631062i | ||||
\(735\) | 2.31704 | − | 13.1406i | 0.0854654 | − | 0.484699i | ||||
\(736\) | 0.875950 | − | 0.735009i | 0.0322879 | − | 0.0270928i | ||||
\(737\) | 13.8568 | + | 11.6272i | 0.510421 | + | 0.428294i | ||||
\(738\) | −11.9656 | − | 67.8602i | −0.440459 | − | 2.49797i | ||||
\(739\) | 36.3892 | + | 13.2446i | 1.33860 | + | 0.487210i | 0.909371 | − | 0.415986i | \(-0.136564\pi\) |
0.429228 | + | 0.903196i | \(0.358786\pi\) | |||||||
\(740\) | 1.68113 | 0.0617997 | ||||||||
\(741\) | 6.10434 | − | 8.21814i | 0.224249 | − | 0.301901i | ||||
\(742\) | −23.7737 | −0.872758 | ||||||||
\(743\) | 29.3436 | + | 10.6802i | 1.07651 | + | 0.391819i | 0.818609 | − | 0.574351i | \(-0.194746\pi\) |
0.257905 | + | 0.966170i | \(0.416968\pi\) | |||||||
\(744\) | −3.57667 | − | 20.2843i | −0.131127 | − | 0.743658i | ||||
\(745\) | 0.583372 | + | 0.489507i | 0.0213731 | + | 0.0179342i | ||||
\(746\) | 17.7417 | − | 14.8870i | 0.649568 | − | 0.545052i | ||||
\(747\) | −14.1335 | + | 80.1551i | −0.517118 | + | 2.93272i | ||||
\(748\) | −2.68441 | + | 4.64953i | −0.0981517 | + | 0.170004i | ||||
\(749\) | −24.4887 | − | 42.4157i | −0.894798 | − | 1.54984i | ||||
\(750\) | 2.98793 | − | 1.08752i | 0.109104 | − | 0.0397106i | ||||
\(751\) | 32.3847 | − | 11.7871i | 1.18173 | − | 0.430116i | 0.324920 | − | 0.945741i | \(-0.394663\pi\) |
0.856814 | + | 0.515625i | \(0.172440\pi\) | |||||||
\(752\) | −0.165847 | − | 0.287256i | −0.00604784 | − | 0.0104752i | ||||
\(753\) | −41.4532 | + | 71.7991i | −1.51064 | + | 2.61650i | ||||
\(754\) | −0.999129 | + | 5.66634i | −0.0363861 | + | 0.206356i | ||||
\(755\) | −4.66356 | + | 3.91319i | −0.169724 | + | 0.142416i | ||||
\(756\) | −33.5018 | − | 28.1113i | −1.21845 | − | 1.02240i | ||||
\(757\) | −0.469366 | − | 2.66191i | −0.0170594 | − | 0.0967487i | 0.975089 | − | 0.221813i | \(-0.0711974\pi\) |
−0.992149 | + | 0.125064i | \(0.960086\pi\) | |||||||
\(758\) | −3.31671 | − | 1.20718i | −0.120468 | − | 0.0438468i | ||||
\(759\) | −22.4855 | −0.816173 | ||||||||
\(760\) | −3.63921 | + | 2.39920i | −0.132008 | + | 0.0870282i | ||||
\(761\) | 9.19327 | 0.333256 | 0.166628 | − | 0.986020i | \(-0.446712\pi\) | ||||
0.166628 | + | 0.986020i | \(0.446712\pi\) | |||||||
\(762\) | −33.5380 | − | 12.2068i | −1.21495 | − | 0.442207i | ||||
\(763\) | 5.05230 | + | 28.6530i | 0.182906 | + | 1.03731i | ||||
\(764\) | −14.1187 | − | 11.8470i | −0.510798 | − | 0.428611i | ||||
\(765\) | 4.72865 | − | 3.96781i | 0.170965 | − | 0.143456i | ||||
\(766\) | −6.36973 | + | 36.1246i | −0.230148 | + | 1.30523i | ||||
\(767\) | 1.79495 | − | 3.10895i | 0.0648120 | − | 0.112258i | ||||
\(768\) | −1.58985 | − | 2.75370i | −0.0573686 | − | 0.0993654i | ||||
\(769\) | −0.0570740 | + | 0.0207732i | −0.00205814 | + | 0.000749102i | −0.343049 | − | 0.939318i | \(-0.611460\pi\) |
0.340991 | + | 0.940067i | \(0.389237\pi\) | |||||||
\(770\) | −19.4454 | + | 7.07756i | −0.700765 | + | 0.255058i | ||||
\(771\) | 16.1414 | + | 27.9578i | 0.581320 | + | 1.00688i | ||||
\(772\) | 6.77477 | − | 11.7343i | 0.243829 | − | 0.422325i | ||||
\(773\) | 1.71922 | − | 9.75016i | 0.0618359 | − | 0.350689i | −0.938154 | − | 0.346218i | \(-0.887466\pi\) |
0.999990 | − | 0.00447097i | \(-0.00142316\pi\) | |||||||
\(774\) | −10.1220 | + | 8.49337i | −0.363828 | + | 0.305288i | ||||
\(775\) | 4.96223 | + | 4.16381i | 0.178249 | + | 0.149568i | ||||
\(776\) | 1.18846 | + | 6.74008i | 0.0426632 | + | 0.241955i | ||||
\(777\) | 16.8079 | + | 6.11757i | 0.602979 | + | 0.219466i | ||||
\(778\) | 24.5847 | 0.881405 | ||||||||
\(779\) | −37.7693 | − | 18.9172i | −1.35322 | − | 0.677779i | ||||
\(780\) | −2.34858 | −0.0840927 | ||||||||
\(781\) | 40.0437 | + | 14.5747i | 1.43288 | + | 0.521524i | ||||
\(782\) | 0.172378 | + | 0.977604i | 0.00616423 | + | 0.0349591i | ||||
\(783\) | −77.9937 | − | 65.4445i | −2.78727 | − | 2.33879i | ||||
\(784\) | 3.21464 | − | 2.69741i | 0.114809 | − | 0.0963359i | ||||
\(785\) | 4.23278 | − | 24.0053i | 0.151074 | − | 0.856785i | ||||
\(786\) | 24.1436 | − | 41.8179i | 0.861173 | − | 1.49160i | ||||
\(787\) | −5.59115 | − | 9.68415i | −0.199303 | − | 0.345203i | 0.749000 | − | 0.662570i | \(-0.230534\pi\) |
−0.948303 | + | 0.317368i | \(0.897201\pi\) | |||||||
\(788\) | −7.69702 | + | 2.80149i | −0.274195 | + | 0.0997988i | ||||
\(789\) | −51.1729 | + | 18.6254i | −1.82180 | + | 0.663082i | ||||
\(790\) | −1.14947 | − | 1.99094i | −0.0408963 | − | 0.0708345i | ||||
\(791\) | 18.1205 | − | 31.3857i | 0.644293 | − | 1.11595i | ||||
\(792\) | −7.63589 | + | 43.3053i | −0.271329 | + | 1.53879i | ||||
\(793\) | −4.08947 | + | 3.43147i | −0.145221 | + | 0.121855i | ||||
\(794\) | −15.5934 | − | 13.0844i | −0.553390 | − | 0.464349i | ||||
\(795\) | −3.92294 | − | 22.2481i | −0.139132 | − | 0.789059i | ||||
\(796\) | −5.58408 | − | 2.03244i | −0.197923 | − | 0.0720379i | ||||
\(797\) | 16.8348 | 0.596320 | 0.298160 | − | 0.954516i | \(-0.403627\pi\) | ||||
0.298160 | + | 0.954516i | \(0.403627\pi\) | |||||||
\(798\) | −45.1152 | + | 10.7442i | −1.59706 | + | 0.380339i | ||||
\(799\) | 0.287955 | 0.0101871 | ||||||||
\(800\) | 0.939693 | + | 0.342020i | 0.0332232 | + | 0.0120922i | ||||
\(801\) | 2.87468 | + | 16.3031i | 0.101572 | + | 0.576043i | ||||
\(802\) | −15.4330 | − | 12.9498i | −0.544957 | − | 0.457273i | ||||
\(803\) | 37.0312 | − | 31.0728i | 1.30680 | − | 1.09654i | ||||
\(804\) | 1.61500 | − | 9.15910i | 0.0569565 | − | 0.323016i | ||||
\(805\) | −1.91309 | + | 3.31357i | −0.0674275 | + | 0.116788i | ||||
\(806\) | −2.39229 | − | 4.14356i | −0.0842647 | − | 0.145951i | ||||
\(807\) | −68.1529 | + | 24.8056i | −2.39910 | + | 0.873199i | ||||
\(808\) | 9.57249 | − | 3.48410i | 0.336759 | − | 0.122570i | ||||
\(809\) | −13.1217 | − | 22.7275i | −0.461335 | − | 0.799056i | 0.537692 | − | 0.843141i | \(-0.319296\pi\) |
−0.999028 | + | 0.0440848i | \(0.985963\pi\) | |||||||
\(810\) | 10.1136 | − | 17.5172i | 0.355355 | − | 0.615492i | ||||
\(811\) | 7.65768 | − | 43.4288i | 0.268897 | − | 1.52499i | −0.488805 | − | 0.872393i | \(-0.662567\pi\) |
0.757703 | − | 0.652600i | \(-0.226322\pi\) | |||||||
\(812\) | 19.9675 | − | 16.7548i | 0.700723 | − | 0.587977i | ||||
\(813\) | 43.3334 | + | 36.3610i | 1.51977 | + | 1.27524i | ||||
\(814\) | −1.80536 | − | 10.2387i | −0.0632780 | − | 0.358867i | ||||
\(815\) | 4.05000 | + | 1.47408i | 0.141865 | + | 0.0516347i | ||||
\(816\) | 2.76040 | 0.0966332 | ||||||||
\(817\) | 0.479748 | + | 8.08592i | 0.0167843 | + | 0.282891i | ||||
\(818\) | −12.8843 | −0.450490 | ||||||||
\(819\) | −16.5136 | − | 6.01047i | −0.577033 | − | 0.210023i | ||||
\(820\) | 1.68282 | + | 9.54373i | 0.0587665 | + | 0.333281i | ||||
\(821\) | −35.5474 | − | 29.8278i | −1.24061 | − | 1.04100i | −0.997476 | − | 0.0710073i | \(-0.977379\pi\) |
−0.243138 | − | 0.969992i | \(-0.578177\pi\) | |||||||
\(822\) | 20.8266 | − | 17.4756i | 0.726412 | − | 0.609532i | ||||
\(823\) | 5.43149 | − | 30.8035i | 0.189330 | − | 1.07374i | −0.730935 | − | 0.682447i | \(-0.760916\pi\) |
0.920265 | − | 0.391296i | \(-0.127973\pi\) | |||||||
\(824\) | 1.03525 | − | 1.79310i | 0.0360646 | − | 0.0624656i | ||||
\(825\) | −9.83213 | − | 17.0297i | −0.342311 | − | 0.592900i | ||||
\(826\) | −15.2823 | + | 5.56230i | −0.531739 | + | 0.193537i | ||||
\(827\) | 18.5253 | − | 6.74267i | 0.644189 | − | 0.234466i | 0.000793747 | − | 1.00000i | \(-0.499747\pi\) |
0.643395 | + | 0.765534i | \(0.277525\pi\) | |||||||
\(828\) | 4.06530 | + | 7.04130i | 0.141279 | + | 0.244702i | ||||
\(829\) | 27.3133 | − | 47.3081i | 0.948632 | − | 1.64308i | 0.200320 | − | 0.979730i | \(-0.435802\pi\) |
0.748311 | − | 0.663348i | \(-0.230865\pi\) | |||||||
\(830\) | 1.98771 | − | 11.2729i | 0.0689944 | − | 0.391287i | ||||
\(831\) | −50.8420 | + | 42.6615i | −1.76369 | + | 1.47991i | ||||
\(832\) | −0.565815 | − | 0.474775i | −0.0196161 | − | 0.0164599i | ||||
\(833\) | 0.632609 | + | 3.58770i | 0.0219186 | + | 0.124307i | ||||
\(834\) | 26.3064 | + | 9.57473i | 0.910915 | + | 0.331546i | ||||
\(835\) | 5.21156 | 0.180354 | ||||||||
\(836\) | 18.5202 | + | 19.5876i | 0.640533 | + | 0.677452i | ||||
\(837\) | 84.6638 | 2.92641 | ||||||||
\(838\) | 18.8095 | + | 6.84609i | 0.649762 | + | 0.236494i | ||||
\(839\) | 6.63032 | + | 37.6024i | 0.228904 | + | 1.29818i | 0.855079 | + | 0.518497i | \(0.173508\pi\) |
−0.626175 | + | 0.779682i | \(0.715381\pi\) | |||||||
\(840\) | 8.15040 | + | 6.83899i | 0.281215 | + | 0.235968i | ||||
\(841\) | 24.2700 | − | 20.3650i | 0.836898 | − | 0.702241i | ||||
\(842\) | −1.16311 | + | 6.59634i | −0.0400835 | + | 0.227325i | ||||
\(843\) | 43.2418 | − | 74.8970i | 1.48933 | − | 2.57959i | ||||
\(844\) | 0.871808 | + | 1.51002i | 0.0300089 | + | 0.0519769i | ||||
\(845\) | 11.7033 | − | 4.25967i | 0.402607 | − | 0.146537i | ||||
\(846\) | 2.21627 | − | 0.806655i | 0.0761968 | − | 0.0277334i | ||||
\(847\) | 45.5838 | + | 78.9534i | 1.56628 | + | 2.71287i | ||||
\(848\) | 3.55244 | − | 6.15300i | 0.121991 | − | 0.211295i | ||||
\(849\) | −10.8738 | + | 61.6685i | −0.373189 | + | 2.11646i | ||||
\(850\) | −0.665029 | + | 0.558025i | −0.0228103 | + | 0.0191401i | ||||
\(851\) | −1.47259 | − | 1.23565i | −0.0504797 | − | 0.0423575i | ||||
\(852\) | −3.80462 | − | 21.5771i | −0.130344 | − | 0.739219i | ||||
\(853\) | 31.2888 | + | 11.3882i | 1.07131 | + | 0.389925i | 0.816666 | − | 0.577111i | \(-0.195820\pi\) |
0.254643 | + | 0.967035i | \(0.418042\pi\) | |||||||
\(854\) | 24.1842 | 0.827567 | ||||||||
\(855\) | −12.3068 | − | 28.4456i | −0.420885 | − | 0.972819i | ||||
\(856\) | 14.6371 | 0.500287 | ||||||||
\(857\) | 37.9460 | + | 13.8112i | 1.29621 | + | 0.471782i | 0.895761 | − | 0.444537i | \(-0.146632\pi\) |
0.400450 | + | 0.916319i | \(0.368854\pi\) | |||||||
\(858\) | 2.52213 | + | 14.3037i | 0.0861042 | + | 0.488321i | ||||
\(859\) | −5.94441 | − | 4.98795i | −0.202821 | − | 0.170187i | 0.535720 | − | 0.844396i | \(-0.320040\pi\) |
−0.738541 | + | 0.674209i | \(0.764485\pi\) | |||||||
\(860\) | 1.42354 | − | 1.19449i | 0.0485423 | − | 0.0407318i | ||||
\(861\) | −17.9045 | + | 101.541i | −0.610183 | + | 3.46052i | ||||
\(862\) | −14.0090 | + | 24.2643i | −0.477149 | + | 0.826446i | ||||
\(863\) | 23.2056 | + | 40.1932i | 0.789926 | + | 1.36819i | 0.926011 | + | 0.377495i | \(0.123215\pi\) |
−0.136085 | + | 0.990697i | \(0.543452\pi\) | |||||||
\(864\) | 12.2818 | − | 4.47019i | 0.417834 | − | 0.152079i | ||||
\(865\) | −6.61144 | + | 2.40637i | −0.224796 | + | 0.0818189i | ||||
\(866\) | −11.3089 | − | 19.5876i | −0.384292 | − | 0.665614i | ||||
\(867\) | 25.8292 | − | 44.7375i | 0.877205 | − | 1.51936i | ||||
\(868\) | −3.76386 | + | 21.3459i | −0.127754 | + | 0.724526i | ||||
\(869\) | −10.8912 | + | 9.13876i | −0.369457 | + | 0.310011i | ||||
\(870\) | 18.9745 | + | 15.9215i | 0.643296 | + | 0.539789i | ||||
\(871\) | −0.375151 | − | 2.12759i | −0.0127115 | − | 0.0720906i | ||||
\(872\) | −8.17082 | − | 2.97393i | −0.276699 | − | 0.100710i | ||||
\(873\) | −48.6643 | −1.64704 | ||||||||
\(874\) | 4.95120 | + | 0.573271i | 0.167477 | + | 0.0193912i | ||||
\(875\) | −3.34610 | −0.113119 | ||||||||
\(876\) | −23.3557 | − | 8.50076i | −0.789115 | − | 0.287214i | ||||
\(877\) | −4.69718 | − | 26.6390i | −0.158612 | − | 0.899536i | −0.955408 | − | 0.295288i | \(-0.904585\pi\) |
0.796796 | − | 0.604248i | \(-0.206527\pi\) | |||||||
\(878\) | 3.16759 | + | 2.65793i | 0.106901 | + | 0.0897006i | ||||
\(879\) | −35.9938 | + | 30.2024i | −1.21404 | + | 1.01870i | ||||
\(880\) | 1.07390 | − | 6.09037i | 0.0362010 | − | 0.205306i | ||||
\(881\) | −10.1018 | + | 17.4968i | −0.340338 | + | 0.589482i | −0.984495 | − | 0.175410i | \(-0.943875\pi\) |
0.644158 | + | 0.764893i | \(0.277208\pi\) | |||||||
\(882\) | 14.9192 | + | 25.8408i | 0.502356 | + | 0.870106i | ||||
\(883\) | 14.1304 | − | 5.14304i | 0.475525 | − | 0.173077i | −0.0931285 | − | 0.995654i | \(-0.529687\pi\) |
0.568654 | + | 0.822577i | \(0.307465\pi\) | |||||||
\(884\) | 0.602549 | − | 0.219310i | 0.0202659 | − | 0.00737619i | ||||
\(885\) | −7.72713 | − | 13.3838i | −0.259745 | − | 0.449891i | ||||
\(886\) | −14.4699 | + | 25.0626i | −0.486125 | + | 0.841994i | ||||
\(887\) | 5.06838 | − | 28.7442i | 0.170180 | − | 0.965137i | −0.773382 | − | 0.633940i | \(-0.781437\pi\) |
0.943562 | − | 0.331197i | \(-0.107452\pi\) | |||||||
\(888\) | −4.09488 | + | 3.43601i | −0.137415 | + | 0.115305i | ||||
\(889\) | 28.7713 | + | 24.1420i | 0.964959 | + | 0.809697i | ||||
\(890\) | −0.404290 | − | 2.29284i | −0.0135518 | − | 0.0768562i | ||||
\(891\) | −117.547 | − | 42.7837i | −3.93798 | − | 1.43331i | ||||
\(892\) | 26.4409 | 0.885307 | ||||||||
\(893\) | 0.413165 | − | 1.38553i | 0.0138260 | − | 0.0463651i | ||||
\(894\) | −2.42146 | −0.0809857 | ||||||||
\(895\) | −3.00649 | − | 1.09427i | −0.100496 | − | 0.0365775i | ||||
\(896\) | 0.581045 | + | 3.29527i | 0.0194114 | + | 0.110087i | ||||
\(897\) | 2.05724 | + | 1.72623i | 0.0686892 | + | 0.0576371i | ||||
\(898\) | 4.26028 | − | 3.57480i | 0.142167 | − | 0.119293i | ||||
\(899\) | −8.76243 | + | 49.6942i | −0.292243 | + | 1.65739i | ||||
\(900\) | −3.55522 | + | 6.15783i | −0.118507 | + | 0.205261i | ||||
\(901\) | 3.08399 | + | 5.34162i | 0.102743 | + | 0.177955i | ||||
\(902\) | 56.3177 | − | 20.4980i | 1.87517 | − | 0.682507i | ||||
\(903\) | 18.5792 | − | 6.76226i | 0.618276 | − | 0.225034i | ||||
\(904\) | 5.41542 | + | 9.37977i | 0.180114 | + | 0.311967i | ||||
\(905\) | 2.36760 | − | 4.10080i | 0.0787016 | − | 0.136315i | ||||
\(906\) | 3.36139 | − | 19.0634i | 0.111675 | − | 0.633338i | ||||
\(907\) | 40.2537 | − | 33.7769i | 1.33660 | − | 1.12154i | 0.354119 | − | 0.935200i | \(-0.384781\pi\) |
0.982485 | − | 0.186343i | \(-0.0596636\pi\) | |||||||
\(908\) | −21.0258 | − | 17.6427i | −0.697766 | − | 0.585495i | ||||
\(909\) | 12.5778 | + | 71.3325i | 0.417181 | + | 2.36595i | ||||
\(910\) | 2.32245 | + | 0.845301i | 0.0769883 | + | 0.0280215i | ||||
\(911\) | −28.5338 | −0.945366 | −0.472683 | − | 0.881233i | \(-0.656714\pi\) | ||||
−0.472683 | + | 0.881233i | \(0.656714\pi\) | |||||||
\(912\) | 3.96068 | − | 13.2820i | 0.131151 | − | 0.439811i | ||||
\(913\) | −70.7905 | −2.34282 | ||||||||
\(914\) | −3.23339 | − | 1.17686i | −0.106951 | − | 0.0389270i | ||||
\(915\) | 3.99069 | + | 22.6323i | 0.131928 | + | 0.748202i | ||||
\(916\) | −8.86480 | − | 7.43845i | −0.292901 | − | 0.245773i | ||||
\(917\) | −38.9260 | + | 32.6628i | −1.28545 | + | 1.07862i | ||||
\(918\) | −1.97029 | + | 11.1741i | −0.0650294 | + | 0.368800i | ||||
\(919\) | −13.5016 | + | 23.3855i | −0.445378 | + | 0.771418i | −0.998078 | − | 0.0619624i | \(-0.980264\pi\) |
0.552700 | + | 0.833380i | \(0.313597\pi\) | |||||||
\(920\) | −0.571736 | − | 0.990275i | −0.0188496 | − | 0.0326484i | ||||
\(921\) | 12.6657 | − | 4.60994i | 0.417349 | − | 0.151903i | ||||
\(922\) | −4.77161 | + | 1.73672i | −0.157145 | + | 0.0571960i | ||||
\(923\) | −2.54476 | − | 4.40765i | −0.0837617 | − | 0.145079i | ||||
\(924\) | 32.8993 | − | 56.9833i | 1.08231 | − | 1.87461i | ||||
\(925\) | 0.291926 | − | 1.65559i | 0.00959846 | − | 0.0544356i | ||||
\(926\) | 3.92835 | − | 3.29628i | 0.129094 | − | 0.108323i | ||||
\(927\) | 11.2778 | + | 9.46322i | 0.370412 | + | 0.310813i | ||||
\(928\) | 1.35270 | + | 7.67154i | 0.0444045 | + | 0.251831i | ||||
\(929\) | 10.4901 | + | 3.81810i | 0.344170 | + | 0.125268i | 0.508321 | − | 0.861168i | \(-0.330266\pi\) |
−0.164151 | + | 0.986435i | \(0.552488\pi\) | |||||||
\(930\) | −20.5972 | −0.675409 | ||||||||
\(931\) | 18.1704 | + | 2.10384i | 0.595510 | + | 0.0689507i | ||||
\(932\) | 12.8579 | 0.421173 | ||||||||
\(933\) | 20.8763 | + | 7.59834i | 0.683458 | + | 0.248758i | ||||
\(934\) | −5.14382 | − | 29.1720i | −0.168311 | − | 0.954538i | ||||
\(935\) | 4.11275 | + | 3.45101i | 0.134501 | + | 0.112860i | ||||
\(936\) | 4.02320 | − | 3.37586i | 0.131502 | − | 0.110344i | ||||
\(937\) | 2.37497 | − | 13.4691i | 0.0775869 | − | 0.440017i | −0.921125 | − | 0.389268i | \(-0.872728\pi\) |
0.998711 | − | 0.0507491i | \(-0.0161609\pi\) | |||||||
\(938\) | −4.89357 | + | 8.47591i | −0.159781 | + | 0.276748i | ||||
\(939\) | 12.1141 | + | 20.9823i | 0.395330 | + | 0.684731i | ||||
\(940\) | −0.311691 | + | 0.113446i | −0.0101663 | + | 0.00370021i | ||||
\(941\) | 3.22980 | − | 1.17555i | 0.105288 | − | 0.0383218i | −0.288839 | − | 0.957378i | \(-0.593269\pi\) |
0.394127 | + | 0.919056i | \(0.371047\pi\) | |||||||
\(942\) | 38.7534 | + | 67.1229i | 1.26266 | + | 2.18698i | ||||
\(943\) | 5.54067 | − | 9.59672i | 0.180429 | − | 0.312512i | ||||
\(944\) | 0.843982 | − | 4.78646i | 0.0274693 | − | 0.155786i | ||||
\(945\) | −33.5018 | + | 28.1113i | −1.08981 | + | 0.914462i | ||||
\(946\) | −8.80363 | − | 7.38712i | −0.286231 | − | 0.240176i | ||||
\(947\) | 7.09857 | + | 40.2580i | 0.230673 | + | 1.30821i | 0.851538 | + | 0.524292i | \(0.175670\pi\) |
−0.620866 | + | 0.783917i | \(0.713219\pi\) | |||||||
\(948\) | 6.86908 | + | 2.50014i | 0.223097 | + | 0.0812008i | ||||
\(949\) | −5.77353 | −0.187417 | ||||||||
\(950\) | 1.73081 | + | 4.00054i | 0.0561549 | + | 0.129795i | ||||
\(951\) | 43.6840 | 1.41655 | ||||||||
\(952\) | −2.72968 | − | 0.993522i | −0.0884694 | − | 0.0322002i | ||||
\(953\) | −7.57113 | − | 42.9380i | −0.245253 | − | 1.39090i | −0.819905 | − | 0.572500i | \(-0.805974\pi\) |
0.574652 | − | 0.818398i | \(-0.305138\pi\) | |||||||
\(954\) | 38.6997 | + | 32.4729i | 1.25295 | + | 1.05135i | ||||
\(955\) | −14.1187 | + | 11.8470i | −0.456872 | + | 0.383361i | ||||
\(956\) | −1.96468 | + | 11.1423i | −0.0635424 | + | 0.360367i | ||||
\(957\) | 76.5911 | − | 132.660i | 2.47584 | − | 4.28828i | ||||
\(958\) | −18.8421 | − | 32.6354i | −0.608760 | − | 1.05440i | ||||
\(959\) | −26.8847 | + | 9.78522i | −0.868152 | + | 0.315981i | ||||
\(960\) | −2.98793 | + | 1.08752i | −0.0964352 | + | 0.0350995i | ||||
\(961\) | −5.48052 | − | 9.49254i | −0.176791 | − | 0.306211i | ||||
\(962\) | −0.620858 | + | 1.07536i | −0.0200173 | + | 0.0346709i | ||||
\(963\) | −18.0727 | + | 102.496i | −0.582386 | + | 3.30287i | ||||
\(964\) | −18.2280 | + | 15.2951i | −0.587085 | + | 0.492623i | ||||
\(965\) | −10.3796 | − | 8.70948i | −0.334130 | − | 0.280368i | ||||
\(966\) | −2.11262 | − | 11.9812i | −0.0679723 | − | 0.385490i | ||||
\(967\) | −21.6746 | − | 7.88890i | −0.697008 | − | 0.253690i | −0.0308750 | − | 0.999523i | \(-0.509829\pi\) |
−0.666133 | + | 0.745833i | \(0.732052\pi\) | |||||||
\(968\) | −27.2459 | −0.875715 | ||||||||
\(969\) | 8.26654 | + | 8.74301i | 0.265560 | + | 0.280866i | ||||
\(970\) | 6.84406 | 0.219749 | ||||||||
\(971\) | 30.8948 | + | 11.2448i | 0.991462 | + | 0.360863i | 0.786286 | − | 0.617862i | \(-0.212001\pi\) |
0.205176 | + | 0.978725i | \(0.434223\pi\) | |||||||
\(972\) | 4.35964 | + | 24.7248i | 0.139836 | + | 0.793047i | ||||
\(973\) | −22.5675 | − | 18.9364i | −0.723480 | − | 0.607072i | ||||
\(974\) | 13.6006 | − | 11.4122i | 0.435790 | − | 0.365672i | ||||
\(975\) | −0.407827 | + | 2.31290i | −0.0130609 | + | 0.0740721i | ||||
\(976\) | −3.61379 | + | 6.25926i | −0.115675 | + | 0.200354i | ||||
\(977\) | −28.1552 | − | 48.7663i | −0.900765 | − | 1.56017i | −0.826503 | − | 0.562932i | \(-0.809673\pi\) |
−0.0742618 | − | 0.997239i | \(-0.523660\pi\) | |||||||
\(978\) | −12.8777 | + | 4.68712i | −0.411785 | + | 0.149877i | ||||
\(979\) | −13.5301 | + | 4.92455i | −0.432424 | + | 0.157389i | ||||
\(980\) | −2.09821 | − | 3.63420i | −0.0670248 | − | 0.116090i | ||||
\(981\) | 30.9134 | − | 53.5436i | 0.986988 | − | 1.70951i | ||||
\(982\) | 3.87201 | − | 21.9592i | 0.123561 | − | 0.700747i | ||||
\(983\) | −26.4336 | + | 22.1804i | −0.843100 | + | 0.707445i | −0.958259 | − | 0.285902i | \(-0.907707\pi\) |
0.115159 | + | 0.993347i | \(0.463262\pi\) | |||||||
\(984\) | −23.6051 | − | 19.8070i | −0.752503 | − | 0.631425i | ||||
\(985\) | 1.42235 | + | 8.06656i | 0.0453199 | + | 0.257022i | ||||
\(986\) | −6.35482 | − | 2.31296i | −0.202379 | − | 0.0736598i | ||||
\(987\) | −3.52910 | −0.112332 | ||||||||
\(988\) | −0.190686 | − | 3.21391i | −0.00606652 | − | 0.102248i | ||||
\(989\) | −2.12491 | −0.0675683 | ||||||||
\(990\) | 41.3214 | + | 15.0398i | 1.31328 | + | 0.477995i | ||||
\(991\) | 7.27532 | + | 41.2604i | 0.231108 | + | 1.31068i | 0.850657 | + | 0.525721i | \(0.176205\pi\) |
−0.619549 | + | 0.784958i | \(0.712684\pi\) | |||||||
\(992\) | −4.96223 | − | 4.16381i | −0.157551 | − | 0.132201i | ||||
\(993\) | −16.1840 | + | 13.5800i | −0.513583 | + | 0.430947i | ||||
\(994\) | −4.00374 | + | 22.7063i | −0.126991 | + | 0.720201i | ||||
\(995\) | −2.97123 | + | 5.14632i | −0.0941942 | + | 0.163149i | ||||
\(996\) | 18.1986 | + | 31.5209i | 0.576644 | + | 0.998777i | ||||
\(997\) | 30.8447 | − | 11.2266i | 0.976862 | − | 0.355549i | 0.196243 | − | 0.980555i | \(-0.437126\pi\) |
0.780619 | + | 0.625007i | \(0.214904\pi\) | |||||||
\(998\) | −17.7382 | + | 6.45619i | −0.561494 | + | 0.204367i | ||||
\(999\) | −10.9862 | − | 19.0286i | −0.347587 | − | 0.602039i |
(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 | 190.2.k.d.61.3 | ✓ | 18 | |
5.2 | odd | 4 | 950.2.u.g.99.3 | 36 | |||
5.3 | odd | 4 | 950.2.u.g.99.4 | 36 | |||
5.4 | even | 2 | 950.2.l.i.251.1 | 18 | |||
19.5 | even | 9 | inner | 190.2.k.d.81.3 | yes | 18 | |
19.9 | even | 9 | 3610.2.a.bi.1.8 | 9 | |||
19.10 | odd | 18 | 3610.2.a.bj.1.2 | 9 | |||
95.24 | even | 18 | 950.2.l.i.651.1 | 18 | |||
95.43 | odd | 36 | 950.2.u.g.499.3 | 36 | |||
95.62 | odd | 36 | 950.2.u.g.499.4 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.d.61.3 | ✓ | 18 | 1.1 | even | 1 | trivial | |
190.2.k.d.81.3 | yes | 18 | 19.5 | even | 9 | inner | |
950.2.l.i.251.1 | 18 | 5.4 | even | 2 | |||
950.2.l.i.651.1 | 18 | 95.24 | even | 18 | |||
950.2.u.g.99.3 | 36 | 5.2 | odd | 4 | |||
950.2.u.g.99.4 | 36 | 5.3 | odd | 4 | |||
950.2.u.g.499.3 | 36 | 95.43 | odd | 36 | |||
950.2.u.g.499.4 | 36 | 95.62 | odd | 36 | |||
3610.2.a.bi.1.8 | 9 | 19.9 | even | 9 | |||
3610.2.a.bj.1.2 | 9 | 19.10 | odd | 18 |